pax_global_header00006660000000000000000000000064151401333320014505gustar00rootroot0000000000000052 comment=f5ec92bd24677905521b689c765e9fa49adbe056 Sigima-1.1.1/000077500000000000000000000000001514013333200127165ustar00rootroot00000000000000Sigima-1.1.1/.coveragerc000066400000000000000000000012321514013333200150350ustar00rootroot00000000000000[run] #--- Ignore this warning because the process isolation feature of DataLab #--- causes coverage to report 0% coverage when no computation is performed #--- in the isolated process during the session. disable_warnings = no-data-collected parallel = True concurrency = multiprocessing,thread omit = */sigima/tests/* */sigima/client/stub.py */guidata/* */plotpy/* */qwt/* #--- Workaround for certain builds of python-opencv package: ./config-3.9.py ./config-3.py ./config.py #--- [report] exclude_also = def __repr__ if __name__ == .__main__.: if TYPE_CHECKING: if DEBUG[\s]*: if self.__debug[\s]*: Sigima-1.1.1/.env.template000066400000000000000000000000141514013333200153140ustar00rootroot00000000000000PYTHONPATH=.Sigima-1.1.1/.github/000077500000000000000000000000001514013333200142565ustar00rootroot00000000000000Sigima-1.1.1/.github/ISSUE_TEMPLATE/000077500000000000000000000000001514013333200164415ustar00rootroot00000000000000Sigima-1.1.1/.github/ISSUE_TEMPLATE/bug_report.md000066400000000000000000000012611514013333200211330ustar00rootroot00000000000000--- name: Bug report about: Create a report to help us improve title: '' labels: bug assignees: '' --- **Describe the bug** A clear and concise description of what the bug is. **To Reproduce** Steps to reproduce the behavior: 1. 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Sigima-1.1.1/.github/ISSUE_TEMPLATE/tutorial_request.md000066400000000000000000000014571514013333200224050ustar00rootroot00000000000000--- name: Tutorial request about: Ask for a tutorial on a specific topic title: '' labels: documentation assignees: '' --- **Describe the context and technical field of the tutorial you would like to see** A clear and concise description of your technical field, and of the specific application. **Describe the topic you would like to be covered** A clear and concise description of what you want to be documented. **Describe the features you would like to see in the tutorial** A clear and concise description of the features you would like to see in the tutorial. **Additional context** Add any other context or screenshots about the feature request here. _Please attach an example data set, if possible. And please confirm that you are willing to share this data set under the terms of DataLab's license._ Sigima-1.1.1/.github/copilot-instructions.md000066400000000000000000000422071514013333200210200ustar00rootroot00000000000000# Sigima AI Coding Agent Instructions This document provides essential guidance for AI coding agents working on the Sigima codebase—the computation engine powering DataLab's signal and image processing. ## Project Overview **Sigima** is a **headless Python library** providing scientific computation functions for 1D signals and 2D images. It is **GUI-independent** (no Qt/PlotPyStack) and designed for testability, modularity, and remote execution. ### Core Architecture: Three-Layer Model Sigima separates concerns into three distinct layers: 1. **`sigima.objects`**: Data model (`SignalObj`, `ImageObj` wrapping NumPy arrays) 2. **`sigima.proc`**: High-level computation functions operating on objects 3. **`sigima.tools`**: Low-level NumPy algorithms (used by `proc` and external projects) ```python # Example: Processing a signal object (high-level) from sigima import SignalObj import sigima.proc.signal as sips obj = SignalObj.create(x, y) result = sips.normalize(obj, sigima.params.NormalizeParam.create(method="minmax")) # Example: Using low-level tools directly (NumPy arrays) from sigima.tools.signal import filtering filtered_y = filtering.apply_moving_average(y, n=5) ``` **Key Design Principle**: `sigima.tools` fills gaps in NumPy/SciPy/scikit-image, not a general-purpose replacement. DataLab uses many `tools` functions independently of the object model. ### Technology Stack - **Python**: 3.9+ (`from __future__ import annotations`) - **Core**: NumPy (≥1.22), SciPy (≥1.10.1), scikit-image (≥0.19.2), pandas (≥1.4) - **GUI Parameters**: guidata (≥3.13) for `DataSet` parameter classes - **Optional**: opencv-python-headless (≥4.8.1.78) - **Testing**: pytest with `--gui` flag for visual validation - **Linting**: Ruff (preferred), Pylint - **Docs**: Sphinx with French translations (sphinx-intl) ### Workspace Structure ``` Sigima/ ├── sigima/ │ ├── objects/ # Data model (SignalObj, ImageObj, ROI) │ │ ├── signal/ # SignalObj implementation │ │ ├── image/ # ImageObj implementation │ │ └── scalar/ # GeometryResult, TableResult │ ├── proc/ # High-level computation functions │ │ ├── base.py # Common processing (ROI, arithmetic) │ │ ├── signal/ # Signal processing (filtering, FFT, fitting, etc.) │ │ ├── image/ # Image processing (edges, morphology, detection) │ │ └── decorator.py # @computation_function decorator │ ├── tools/ # Low-level NumPy algorithms │ │ ├── signal/ # Signal algorithms (peak detection, stability, etc.) │ │ └── image/ # Image algorithms (detection, geometry, etc.) │ ├── io/ # I/O for signals/images (CSV, formats) │ ├── params.py # Centralized parameter import (re-exports from proc/) │ ├── client/ # SimpleRemoteProxy for DataLab control │ └── tests/ # pytest test suite ├── scripts/ │ └── run_with_env.py # Environment loader (.env support) ├── .env # PYTHONPATH=.;../guidata;../plotpy └── pyproject.toml ``` **Related Projects** (sibling directories): - `../DataLab/` - GUI application using Sigima - `../PlotPy/` - Plotting library (used in tests with `--gui`) - `../guidata/` - Parameter/configuration framework ## Development Workflows ### Running Commands **ALWAYS use `scripts/run_with_env.py`** to load `.env` before running Python commands: ```powershell # ✅ CORRECT python scripts/run_with_env.py python -m pytest # ❌ WRONG - Misses local guidata/plotpy python -m pytest ``` ### Testing ```powershell # Run all tests (fast, no GUI) python scripts/run_with_env.py python -m pytest --ff # Run GUI-assisted validation tests (visual checks) python scripts/run_with_env.py python -m pytest --gui # Run specific test module python scripts/run_with_env.py python -m pytest sigima/tests/signal/processing_unit_test.py # Coverage python scripts/run_with_env.py python -m coverage run -m pytest sigima python -m coverage html ``` **Test Organization**: - `tests/common/`: ROI, validation, worker, title formatting - `tests/signal/`: Signal processing tests - `tests/image/`: Image processing tests - `tests/io/`: I/O format tests **Pytest Configuration** (`conftest.py`): - `env.execenv.unattended = True` (no GUI by default) - `set_validation_mode(ValidationMode.STRICT)` for tests - Custom flag: `--gui` enables visual validation ### Linting and Formatting ```powershell # Ruff (preferred) python scripts/run_with_env.py python -m ruff format python scripts/run_with_env.py python -m ruff check --fix # Pylint python scripts/run_with_env.py python -m pylint sigima \ --disable=duplicate-code,fixme,too-many-arguments, \ too-many-branches,too-many-instance-attributes ``` ### Translations ```powershell # Scan and update .po files python scripts/run_with_env.py python -m guidata.utils.translations scan \ --name sigima --directory . --copyright-holder "DataLab Platform Developers" \ --languages fr # Compile .mo files python scripts/run_with_env.py python -m guidata.utils.translations compile \ --name sigima --directory . ``` ## Core Patterns ### 1. Computation Functions with `@computation_function` Decorator **All `sigima.proc` functions** use this decorator to enable dual calling conventions: ```python from sigima.proc.decorator import computation_function import sigima.params @computation_function() def my_processing(src: SignalObj, p: MyParam) -> SignalObj: """Process signal with my algorithm. Args: src: Input signal p: Processing parameters Returns: Processed signal """ dst = src.copy() # ... processing logic using p.param1, p.param2 ... return dst ``` **Dual calling style enabled by decorator**: ```python # Style 1: DataSet parameter object (DataLab GUI style) param = sigima.params.MyParam.create(param1=10, param2="value") result = my_processing(src, param) # Style 2: Expanded keyword arguments (script-friendly) result = my_processing(src, param1=10, param2="value") ``` **Key Rules**: - Parameter class MUST be a `guidata.dataset.DataSet` subclass - Always re-export parameter classes in `sigima.params` module - Export computation functions in `__all__` of their module AND in `sigima/proc/{signal|image}/__init__.py` ### 2. Object Model: `SignalObj` and `ImageObj` **Core attributes**: ```python # SignalObj signal.x # X coordinates (1D NumPy array, float64) signal.y # Y data (1D NumPy array, float64) signal.dx, signal.dy # Optional uncertainties signal.xydata # Property returning (x, y) tuple signal.set_xydata(x, y, dx=None, dy=None) # ImageObj image.data # 2D NumPy array (various dtypes) image.x0, image.y0, image.dx, image.dy # Pixel coordinates image.metadata # Dict for labels, units, etc. # Common to both obj.roi # List of ROI objects (SegmentROI, RectangularROI, etc.) obj.get_data(roi_index=None) # Extract data with optional ROI mask obj.copy() # Deep copy with metadata ``` **Data type enforcement**: - `SignalObj`: Automatically converts integer X/Y arrays to `float64` for computational precision - `ImageObj`: Preserves original dtype (uint8, uint16, float32, etc.) for image operations ### 3. Parameter Classes: `guidata.dataset.DataSet` **All computation parameters** inherit from `guidata.dataset.DataSet`: ```python import guidata.dataset as gds class MyParam(gds.DataSet): """My processing parameters.""" param1 = gds.IntItem("Parameter 1", default=10, min=1, max=100) param2 = gds.ChoiceItem("Method", ["method1", "method2"], default="method1") @staticmethod def create(param1: int = 10, param2: str = "method1") -> MyParam: """Factory method for easy instantiation.""" return MyParam(param1=param1, param2=param2) ``` **Conventions**: - Always provide `create()` static method for script-friendly instantiation - Export in `sigima.params` for centralized import - Use descriptive docstrings (shown in DataLab GUI) ### 4. Title Formatting System **Computation results need titles**. Sigima provides a configurable system: ```python from sigima.proc.title_formatting import TitleFormatter, FormatResultTitle class MyParam(gds.DataSet): # ... parameter definitions ... def generate_title(self) -> str: """Generate human-readable title for this computation.""" return f"my_processing(p1={self.param1}, p2={self.param2})" # In computation function @computation_function() def my_processing(src: SignalObj, p: MyParam) -> SignalObj: dst = src.copy() # ... processing ... FormatResultTitle.apply(dst, src, p) # Automatically formats title return dst ``` **Title formatting modes**: - **Parameter mode**: Default, uses `param.generate_title()` → `"normalize[minmax]"` - **Function mode**: Used by DataLab, shows function name → `"Normalize"` ### 5. ROI (Region of Interest) System **Types of ROI**: - **Signal**: `SegmentROI` (X interval) - **Image**: `RectangularROI`, `CircularROI`, `PolygonalROI` **Using ROIs in processing**: ```python # Get data masked by ROI data = obj.get_data(roi_index=0) # First ROI data = obj.get_data() # All data (no ROI) # ROI iteration for roi_index, roi in enumerate(obj.roi): masked_data = obj.get_data(roi_index) # ... process masked_data ... ``` **ROI creation in detection functions**: ```python from sigima.objects import create_image_roi_around_points # Automatically create ROIs around detected features coords = detect_peaks(image.data) # Returns N×2 array rois = create_image_roi_around_points(coords, image, relative_size=1.5) result.roi = rois # Attach to result ``` ## Common Tasks ### Adding a New Signal Processing Function **Complete workflow**: 1. **Implement in `sigima/proc/signal/processing.py` (or appropriate module)**: ```python from sigima.proc.decorator import computation_function import sigima.params @computation_function() def my_feature(src: SignalObj, p: MyFeatureParam) -> SignalObj: """Apply my feature to signal. Args: src: Input signal p: Feature parameters Returns: Processed signal """ dst = src.copy() # Processing logic using src.x, src.y dst.y = apply_my_algorithm(src.y, p.threshold) FormatResultTitle.apply(dst, src, p) return dst ``` 2. **Define parameter class in same file**: ```python class MyFeatureParam(gds.DataSet): """Parameters for my feature.""" threshold = gds.FloatItem("Threshold", default=0.5, min=0, max=1) @staticmethod def create(threshold: float = 0.5) -> MyFeatureParam: return MyFeatureParam(threshold=threshold) def generate_title(self) -> str: return f"my_feature(thresh={self.threshold})" ``` 3. **Export in `sigima/proc/signal/__init__.py`**: ```python from sigima.proc.signal.processing import my_feature, MyFeatureParam __all__ = [ # ... existing exports ... "my_feature", "MyFeatureParam", ] ``` 4. **Re-export parameter in `sigima/params.py`**: ```python from sigima.proc.signal import MyFeatureParam __all__ = [ # ... existing params ... "MyFeatureParam", ] ``` 5. **Add tests in `sigima/tests/signal/`**: ```python import sigima.proc.signal as sips import sigima.params from sigima.tests.data import get_test_signal @pytest.mark.validation def test_my_feature(): """Test my_feature processing.""" src = get_test_signal("paracetamol.txt") p = sigima.params.MyFeatureParam.create(threshold=0.5) result = sips.my_feature(src, p) assert result is not None assert len(result.y) == len(src.y) # Add assertions checking result correctness ``` 6. **Document in Sphinx** (if public API): ```python # Docstring already makes it appear in API docs # Add usage example in doc/examples/ if complex ``` ### Adding Low-Level NumPy Functions to `tools` **When to use `tools` vs `proc`**: - Use `tools` for **pure NumPy/SciPy algorithms** that don't need object context - Use `proc` for functions that need **metadata, ROI, or object operations** **Example**: ```python # sigima/tools/signal/myalgorithm.py import numpy as np from sigima.tools.checks import check_1d_array def my_numpy_function(y: np.ndarray, threshold: float) -> np.ndarray: """Low-level algorithm operating on NumPy arrays. Args: y: 1D NumPy array threshold: Processing threshold Returns: Processed array """ check_1d_array(y) # Input validation # ... pure NumPy processing ... return result ``` **Export in `sigima/tools/signal/__init__.py`** and document intended usage. ### Handling Integer Signal Data **Issue**: Integer arrays cause precision loss in computations. **Solution**: Sigima automatically converts to `float64`: ```python # This is handled automatically now signal = SignalObj.create(x=np.array([1, 2, 3]), y=np.array([10, 20, 30])) # int arrays # Internally converted to float64 # Validation: If you need strict float checks from sigima.tools.checks import check_1d_array check_1d_array(y) # Allows float dtypes, raises for invalid types ``` ### Working with ROI Boundaries **Issue**: ROI extending beyond image causes `ValueError`. **Solution**: Use `get_data()` which automatically clips: ```python # Safe: Handles ROI clipping automatically data = image.get_data(roi_index=0) # Manual clipping (if needed in tools) y0 = max(0, roi.y0) y1 = min(image.data.shape[0], roi.y1) x0 = max(0, roi.x0) x1 = min(image.data.shape[1], roi.x1) ``` ## Coding Conventions ### Type Annotations ```python from __future__ import annotations import numpy as np from sigima.objects import SignalObj def process(src: SignalObj, threshold: float) -> SignalObj: """Use forward references via __future__ import.""" pass ``` ### Docstrings **Google-style** with Args/Returns: ```python def my_function(x: np.ndarray, param: int) -> np.ndarray: """One-line summary. Longer description if needed. Args: x: Input array description param: Parameter description Returns: Output array description Raises: ValueError: When input is invalid """ ``` For continued lines in enumerations (args, returns), indent subsequent lines by 1 space: ```python def compute_feature(obj: SignalObj, param: MyParam) -> SignalObj: """Compute feature on signal. Args: obj: Input signal object param: Processing parameters, with a very long description that continues on the next line. Returns: Processed signal object """ ``` ### Imports **Order**: Standard → Third-party → Sigima ```python from __future__ import annotations import numpy as np import scipy.signal as sps from guidata.dataset import DataSet from sigima.objects import SignalObj from sigima.proc.decorator import computation_function from sigima.tools.checks import check_1d_array ``` ### Module Exports **Always define `__all__`**: ```python __all__ = [ "my_function", "MyParam", "AnotherFunction", ] ``` ## Integration with DataLab Sigima functions are **consumed by DataLab processors**: 1. **Sigima** implements computation: `sigima.proc.signal.my_feature()` 2. **DataLab** registers in processor: `self.register_1_to_1(sips.my_feature, ...)` 3. **DataLab** adds to menu: `self.processing_menu.addAction(act)` **Testing flow**: 1. Test in **Sigima unit tests** (headless, fast) 2. Test in **DataLab integration tests** (GUI, full workflow) ## Key Files Reference | File | Purpose | |------|---------| | `sigima/__init__.py` | Top-level exports (`SignalObj`, `ImageObj`, convenience functions) | | `sigima/params.py` | Centralized parameter class exports (re-exports from `proc`) | | `sigima/objects/signal/object.py` | `SignalObj` implementation | | `sigima/objects/image/object.py` | `ImageObj` implementation | | `sigima/proc/decorator.py` | `@computation_function` decorator system | | `sigima/proc/signal/processing.py` | Signal processing functions (normalize, calibrate, etc.) | | `sigima/proc/image/detection.py` | Image detection (blobs, peaks, contours) | | `sigima/tools/checks.py` | Input validation (`check_1d_array`, `check_2d_array`) | | `scripts/run_with_env.py` | Environment loader (always use for commands) | | `.env` | Local PYTHONPATH for development | ## VS Code Tasks `.vscode/tasks.json` provides shortcuts: - **🧽🔦 Ruff**: Format + lint - **🚀 Pytest**: Run tests (`--ff` flag) - **📚 Compile translations**: Build .mo files - **🔎 Scan translations**: Update .po files ## Release Classification **Bug Fix** (1.0.x): - Fixes incorrect behavior (e.g., ROI boundary clipping) - Restores expected functionality (e.g., integer array conversion) - Adds missing capability that should have existed (e.g., `replace_x_by_other_y`) **Feature** (1.x.0): - Entirely new computation type (e.g., new parametric images) - New analysis methods ## Getting Help - **Documentation**: https://sigima.readthedocs.io/ - **Issues**: https://github.com/DataLab-Platform/Sigima/issues - **DataLab Integration**: https://datalab-platform.com/ --- **Remember**: Always use `scripts/run_with_env.py`, test headlessly with pytest, and export all parameters through `sigima.params`. Sigima-1.1.1/.github/workflows/000077500000000000000000000000001514013333200163135ustar00rootroot00000000000000Sigima-1.1.1/.github/workflows/build_deploy.yml000066400000000000000000000014351514013333200215140ustar00rootroot00000000000000name: Build and upload to PyPI on: release: types: [published] permissions: contents: read jobs: deploy: runs-on: ubuntu-latest steps: - uses: actions/checkout@v4 - name: Set up Python uses: actions/setup-python@v5 with: python-version: '3.x' - name: Install dependencies run: | python -m pip install --upgrade pip pip install build guidata babel - name: Compile translations run: | python -m guidata.utils.translations compile --name sigima --directory . - name: Build package run: python -m build - name: Publish package uses: pypa/gh-action-pypi-publish@27b31702a0e7fc50959f5ad993c78deac1bdfc29 with: user: __token__ password: ${{ secrets.PYPI_API_TOKEN }} Sigima-1.1.1/.github/workflows/test.yml000066400000000000000000000126371514013333200200260ustar00rootroot00000000000000# This workflow will install Python dependencies, run tests and lint with a variety of Python versions # For more information see: https://docs.github.com/en/actions/automating-builds-and-tests/building-and-testing-python # Inspired from https://pytest-qt.readthedocs.io/en/latest/troubleshooting.html#github-actions name: Install and Test on Ubuntu (latest) on: push: branches: [ "main", "develop", "release" ] pull_request: branches: [ "main", "develop", "release" ] workflow_dispatch: inputs: job_to_run: description: 'Which job to run' required: true type: choice options: - 'all' - 'build' - 'build_latest' default: 'all' schedule: # Only the "build_latest" job runs on schedule (see execution conditions below) - cron: "0 5 * * 1" jobs: build: if: ${{ (github.event_name == 'push' || github.event_name == 'pull_request') || (github.event_name == 'workflow_dispatch' && (github.event.inputs.job_to_run == 'all' || github.event.inputs.job_to_run == 'build')) }} env: DISPLAY: ':99.0' runs-on: ubuntu-latest strategy: fail-fast: false matrix: python-version: ["3.9", "3.13"] steps: - uses: actions/checkout@v4 - name: Set up Python ${{ matrix.python-version }} uses: actions/setup-python@v5 with: python-version: ${{ matrix.python-version }} - name: Install dependencies run: | sudo apt install libxkbcommon-x11-0 libxcb-icccm4 libxcb-image0 libxcb-keysyms1 libxcb-randr0 libxcb-render-util0 libxcb-xinerama0 libxcb-xfixes0 x11-utils /sbin/start-stop-daemon --start --quiet --pidfile /tmp/custom_xvfb_99.pid --make-pidfile --background --exec /usr/bin/Xvfb -- :99 -screen 0 1920x1200x24 -ac +extension GLX python -m pip install --upgrade pip python -m pip install ruff pytest if [ "${{ github.ref_name }}" = "develop" ]; then pip uninstall -y guidata cd .. git clone --depth 1 --branch develop https://github.com/PlotPyStack/guidata.git cd Sigima pip install -e ../guidata # Install tomli for TOML parsing (safe if already present) pip install tomli # Extract dependencies and save to file, then install python -c "import tomli; f=open('pyproject.toml','rb'); data=tomli.load(f); deps=[d for d in data['project']['dependencies'] if not any(p in d for p in ['guidata'])]; open('deps.txt','w').write('\n'.join(deps))" pip install -r deps.txt # Install Sigima without dependencies pip install --no-deps . elif [ "${{ github.ref_name }}" = "release" ]; then pip uninstall -y guidata cd .. # Try cloning guidata from release, fallback to main or master git clone --depth 1 --branch release https://github.com/PlotPyStack/guidata.git || git clone --depth 1 https://github.com/PlotPyStack/guidata.git || git clone --depth 1 --branch master https://github.com/PlotPyStack/guidata.git cd Sigima pip install -e ../guidata # Install tomli for TOML parsing (safe if already present) pip install tomli # Extract dependencies and save to file, then install python -c "import tomli; f=open('pyproject.toml','rb'); data=tomli.load(f); deps=[d for d in data['project']['dependencies'] if not any(p in d for p in ['guidata'])]; open('deps.txt','w').write('\n'.join(deps))" pip install -r deps.txt # Install Sigima without dependencies pip install --no-deps . else # Install from PyPI normally for main branch pip install . fi - name: Lint with Ruff run: ruff check --output-format=github sigima - name: Test with pytest run: pytest -v --tb=long build_latest: if: ${{ github.event_name == 'schedule' || (github.event_name == 'workflow_dispatch' && (github.event.inputs.job_to_run == 'all' || github.event.inputs.job_to_run == 'build_latest')) }} env: DISPLAY: ':99.0' runs-on: ubuntu-latest steps: - uses: actions/checkout@v4 - name: Set up Python 3.13 uses: actions/setup-python@v5 with: python-version: "3.13" - name: Install dependencies (latest) run: | set -euxo pipefail sudo apt-get update sudo apt-get install -y \ libxkbcommon-x11-0 libxcb-icccm4 libxcb-image0 libxcb-keysyms1 \ libxcb-randr0 libxcb-render-util0 libxcb-xinerama0 libxcb-xfixes0 x11-utils /sbin/start-stop-daemon --start --quiet \ --pidfile /tmp/custom_xvfb_99.pid --make-pidfile --background \ --exec /usr/bin/Xvfb -- :99 -screen 0 1920x1200x24 -ac +extension GLX python -m pip install --upgrade pip python -m pip install ruff pytest # Install Sigima itself, but do NOT install its pinned deps python -m pip install -e . --no-deps # Extract dependency names from pyproject.toml and install latest versions python -m pip install -U --upgrade-strategy eager $(python -c "import tomllib, re; print(' '.join(re.sub(r'[\[\]<>=!~,.\s].*$', '', d).strip() for d in tomllib.loads(open('pyproject.toml', 'rb').read().decode())['project']['dependencies']))") - name: Lint with Ruff (latest) run: ruff check --output-format=github sigima - name: Test with pytest (latest) run: pytest -v --tb=long Sigima-1.1.1/.gitignore000066400000000000000000000123771514013333200147200ustar00rootroot00000000000000# ---------------------------- Specific to this project -------------------------------- # Project specific resources/*.png doc.zip releases/ /tutorialnotes*.md doc/changelog.md scenario_*.h5 # Windows specific Thumbs.db # Microsoft Visual Studio *.pyproj *.sln # Sphinx documentation doctmp/ .doctrees/ doc/install_requires.txt doc/extras_require-dev.txt doc/extras_require-doc.txt doc/locale/pot/_sphinx_design_static/ # Backup files (e.g. created during merge conflicts) *.bak # ------------------ Template `Python.gitignore` from gitignore.io --------------------- # Created by https://www.gitignore.io/api/python ### Python ### # Byte-compiled / optimized / DLL files __pycache__/ *.py[codz] *$py.class # C extensions *.so # Distribution / packaging .Python build/ develop-eggs/ dist/ downloads/ eggs/ .eggs/ lib/ lib64/ parts/ sdist/ var/ wheels/ share/python-wheels/ *.egg-info/ .installed.cfg *.egg MANIFEST # PyInstaller # Usually these files are written by a python script from a template # before PyInstaller builds the exe, so as to inject date/other infos into it. *.manifest # *.spec # Installer logs pip-log.txt pip-delete-this-directory.txt # Unit test / coverage reports htmlcov/ .tox/ .nox/ .coverage .coverage.* .cache nosetests.xml coverage.xml *.cover *.py.cover .hypothesis/ .pytest_cache/ cover/ # Translations *.mo *.pot # Django stuff: *.log local_settings.py db.sqlite3 db.sqlite3-journal # Flask stuff: instance/ .webassets-cache # Scrapy stuff: .scrapy # Sphinx documentation docs/_build/ doc/auto_examples/ doc/sg_execution_times.rst # PyBuilder .pybuilder/ target/ # Jupyter Notebook .ipynb_checkpoints # IPython profile_default/ ipython_config.py # pyenv # For a library or package, you might want to ignore these files since the code is # intended to run in multiple environments; otherwise, check them in: # .python-version # pipenv # According to pypa/pipenv#598, it is recommended to include Pipfile.lock in version control. # However, in case of collaboration, if having platform-specific dependencies or dependencies # having no cross-platform support, pipenv may install dependencies that don't work, or not # install all needed dependencies. #Pipfile.lock # UV # Similar to Pipfile.lock, it is generally recommended to include uv.lock in version control. # This is especially recommended for binary packages to ensure reproducibility, and is more # commonly ignored for libraries. #uv.lock # poetry # Similar to Pipfile.lock, it is generally recommended to include poetry.lock in version control. # This is especially recommended for binary packages to ensure reproducibility, and is more # commonly ignored for libraries. # https://python-poetry.org/docs/basic-usage/#commit-your-poetrylock-file-to-version-control #poetry.lock #poetry.toml # pdm # Similar to Pipfile.lock, it is generally recommended to include pdm.lock in version control. # pdm recommends including project-wide configuration in pdm.toml, but excluding .pdm-python. # https://pdm-project.org/en/latest/usage/project/#working-with-version-control #pdm.lock #pdm.toml .pdm-python .pdm-build/ # pixi # Similar to Pipfile.lock, it is generally recommended to include pixi.lock in version control. #pixi.lock # Pixi creates a virtual environment in the .pixi directory, just like venv module creates one # in the .venv directory. 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For a more nuclear # option (not recommended) you can uncomment the following to ignore the entire idea folder. #.idea/ # Abstra # Abstra is an AI-powered process automation framework. # Ignore directories containing user credentials, local state, and settings. # Learn more at https://abstra.io/docs .abstra/ # Visual Studio Code # Visual Studio Code specific template is maintained in a separate VisualStudioCode.gitignore # that can be found at https://github.com/github/gitignore/blob/main/Global/VisualStudioCode.gitignore # and can be added to the global gitignore or merged into this file. However, if you prefer, # you could uncomment the following to ignore the entire vscode folder # .vscode/ # Ruff stuff: .ruff_cache/ # PyPI configuration file .pypirc # Cursor # Cursor is an AI-powered code editor. `.cursorignore` specifies files/directories to # exclude from AI features like autocomplete and code analysis. 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"reveal": "always", "showReuseMessage": true, }, "type": "shell", }, { "label": "🧽🔦 Ruff", "dependsOrder": "sequence", "dependsOn": [ "🧽 Ruff Formatter", "🔦 Ruff Linter", ], "group": { "kind": "build", "isDefault": false, }, "presentation": { "clear": true, "echo": true, "focus": false, "panel": "dedicated", "reveal": "always", "showReuseMessage": true, }, "type": "shell", }, { "label": "🔦 Pylint", "command": "${command:python.interpreterPath}", "args": [ "scripts/run_with_env.py", "${command:python.interpreterPath}", "-m", "pylint", "sigima", "--disable=duplicate-code", "--disable=fixme", "--disable=too-many-arguments", "--disable=too-many-branches", "--disable=too-many-instance-attributes", "--disable=too-many-lines", "--disable=too-many-locals", "--disable=too-many-public-methods", "--disable=too-many-statements", ], "options": { "cwd": "${workspaceFolder}", }, "group": { "kind": "build", "isDefault": true, }, "presentation": { "clear": true, "echo": true, "focus": false, "panel": "dedicated", "reveal": "always", "showReuseMessage": true, }, "type": "shell", }, { "label": "🚀 Pytest", "command": "${command:python.interpreterPath}", "args": [ "scripts/run_with_env.py", "${command:python.interpreterPath}", "-m", "pytest", "--ff", // "--gui", // "--show-windows", ], "options": { "cwd": "${workspaceFolder}", "env": { // "DEBUG": "1", // ☣️ Debug mode will reset .ini settings "UNATTENDED": "1", }, }, "group": { "kind": "build", "isDefault": true, }, "presentation": { "echo": true, "reveal": "always", "focus": false, "panel": "dedicated", "showReuseMessage": true, "clear": true, }, "type": "shell", }, { "label": "sphinx-build", "command": "${command:python.interpreterPath}", "args": [ "scripts/run_with_env.py", "${command:python.interpreterPath}", "-m", "sphinx", "build", "doc", "build/gettext", "-b", "gettext", "-W", ], "options": { "cwd": "${workspaceFolder}", "statusbar": { "hide": true, }, }, "group": { "kind": "build", "isDefault": false, }, "presentation": { "clear": true, "echo": true, "focus": false, "panel": "dedicated", "reveal": "always", "showReuseMessage": true, }, "type": "shell", }, { "label": "sphinx-intl update", "command": "${command:python.interpreterPath}", "args": [ "scripts/run_with_env.py", "${command:python.interpreterPath}", "-m", "sphinx_intl", "update", "-d", "doc/locale", "-p", "build/gettext", "-l", "fr", "--no-obsolete", "-w", "0", ], "options": { "cwd": "${workspaceFolder}", "statusbar": { "hide": true, }, }, "group": { "kind": "build", "isDefault": false, }, "presentation": { "clear": true, "echo": true, "focus": false, "panel": "dedicated", "reveal": "always", "showReuseMessage": true, }, "type": "shell", "dependsOrder": "sequence", "dependsOn": [ "sphinx-build", ], }, { "label": "cleanup-doc-translations", "command": "${command:python.interpreterPath}", "args": [ "scripts/run_with_env.py", "${command:python.interpreterPath}", "-m", "guidata.utils.translations", "cleanup-doc", "--directory", ".", ], "options": { "cwd": "${workspaceFolder}", "statusbar": { "hide": true, }, }, "group": { "kind": "build", "isDefault": false, }, "presentation": { "clear": true, "echo": true, "focus": false, "panel": "dedicated", "reveal": "always", "showReuseMessage": true, }, "type": "shell", "dependsOrder": "sequence", "dependsOn": [ "sphinx-intl update", ], }, { "label": "sphinx-intl build", "command": "${command:python.interpreterPath}", "args": [ "scripts/run_with_env.py", "${command:python.interpreterPath}", "-m", "sphinx_intl", "build", "-d", "doc/locale", ], "options": { "cwd": "${workspaceFolder}", "statusbar": { "hide": true, }, }, "group": { "kind": "build", "isDefault": false, }, "presentation": { "clear": true, "echo": true, "focus": false, "panel": "dedicated", "reveal": "always", "showReuseMessage": true, }, "type": "shell", }, { "label": "🔎 Scan translations", "command": "${command:python.interpreterPath}", "args": [ "scripts/run_with_env.py", "${command:python.interpreterPath}", "-m", "guidata.utils.translations", "scan", "--name", "sigima", "--directory", ".", "--copyright-holder", "DataLab Platform Developers", "--languages", "fr", ], "group": { "kind": "build", "isDefault": false, }, "options": { "cwd": "${workspaceFolder}", }, "presentation": { "clear": true, "echo": true, "focus": false, "panel": "dedicated", "reveal": "always", "showReuseMessage": true, }, "type": "shell", "dependsOrder": "sequence", "dependsOn": [ "cleanup-doc-translations", ], }, { "label": "📚 Compile translations", "command": "${command:python.interpreterPath}", "args": [ "scripts/run_with_env.py", "${command:python.interpreterPath}", "-m", "guidata.utils.translations", "compile", "--name", "sigima", "--directory", ".", ], "group": { "kind": "build", "isDefault": false, }, "options": { "cwd": "${workspaceFolder}", }, "presentation": { "clear": true, "echo": true, "focus": false, "panel": "dedicated", "reveal": "always", "showReuseMessage": true, }, "type": "shell", "dependsOrder": "sequence", "dependsOn": [ "sphinx-intl build", ], }, { "label": "Generate requirements", "command": "${command:python.interpreterPath}", "args": [ "scripts/run_with_env.py", "${command:python.interpreterPath}", "-m", "guidata.utils.genreqs", "all", ], "options": { "cwd": "${workspaceFolder}", "statusbar": { "hide": true, }, }, "group": { "kind": "build", "isDefault": false, }, "presentation": { "clear": true, "echo": true, "focus": false, "panel": "dedicated", "reveal": "always", "showReuseMessage": true, }, "type": "shell", }, { "label": "🧪 Coverage tests", "type": "shell", "command": "${command:python.interpreterPath}", "args": [ "scripts/run_with_env.py", "${command:python.interpreterPath}", "-m", "coverage", "run", "-m", "pytest", "sigima", ], "options": { "cwd": "${workspaceFolder}", "env": { "COVERAGE_PROCESS_START": "${workspaceFolder}/.coveragerc", }, "statusbar": { "hide": true, }, }, "group": { "kind": "test", "isDefault": true, }, "presentation": { "panel": "dedicated", }, "problemMatcher": [], }, { "label": "📊 Coverage full", "type": "shell", "windows": { "command": "${command:python.interpreterPath} -m coverage combine && ${command:python.interpreterPath} -m coverage html && start htmlcov\\index.html", }, "linux": { "command": "${command:python.interpreterPath} -m coverage combine && ${command:python.interpreterPath} -m coverage html && xdg-open htmlcov/index.html", }, "osx": { "command": "${command:python.interpreterPath} -m coverage combine && ${command:python.interpreterPath} -m coverage html && open htmlcov/index.html", }, "options": { "cwd": "${workspaceFolder}", "env": { "COVERAGE_PROCESS_START": "${workspaceFolder}/.coveragerc", }, }, "presentation": { "panel": "dedicated", }, "problemMatcher": [], "dependsOrder": "sequence", "dependsOn": [ "🧪 Coverage tests", ], }, { "label": "Update doc resources (statically generated)", "type": "shell", "command": "cmd", "args": [ "/c", "update_doc_resources.bat", ], "options": { "cwd": "scripts", "env": { "PYTHON": "${command:python.interpreterPath}", "UNATTENDED": "1", }, "statusbar": { "hide": true, }, }, "group": { "kind": "build", "isDefault": false, }, "presentation": { "echo": true, "reveal": "always", "focus": false, "panel": "dedicated", "showReuseMessage": true, "clear": true, }, "dependsOrder": "sequence", "dependsOn": [ "Generate requirements", ], }, { "label": "Upgrade PlotPyStack", "command": "${command:python.interpreterPath}", "args": [ "scripts/run_with_env.py", "${command:python.interpreterPath}", "-m", "pip", "install", "--upgrade", "pip", "PythonQwt", "guidata", "PlotPy", ], "options": { "cwd": "${workspaceFolder}", "statusbar": { "hide": true, }, }, "group": { "kind": "build", "isDefault": true, }, "presentation": { "echo": true, "reveal": "always", "focus": false, "panel": "shared", "showReuseMessage": true, "clear": false, }, "type": "shell", }, { "label": "🔁 Reinstall guidata/plotpy dev", "type": "shell", "windows": { "command": ".venv/scripts/pip uninstall -y guidata plotpy; Remove-Item -Recurse -Force .venv/Lib/site-packages/guidata -ErrorAction SilentlyContinue; Remove-Item -Recurse -Force .venv/Lib/site-packages/plotpy -ErrorAction SilentlyContinue; .venv/scripts/pip install -e ../guidata; .venv/scripts/pip install -e ../plotpy", }, "linux": { "command": ".venv/bin/pip uninstall -y guidata plotpy && rm -rf .venv/lib/python*/site-packages/guidata && rm -rf .venv/lib/python*/site-packages/plotpy && .venv/bin/pip install -e ../guidata && .venv/bin/pip install -e ../plotpy", }, "osx": { "command": ".venv/bin/pip uninstall -y guidata plotpy && rm -rf .venv/lib/python*/site-packages/guidata && rm -rf .venv/lib/python*/site-packages/plotpy && .venv/bin/pip install -e ../guidata && .venv/bin/pip install -e ../plotpy", }, "options": { "cwd": "${workspaceFolder}", "statusbar": { "hide": true, }, }, "presentation": { "panel": "dedicated", "reveal": "always", }, "problemMatcher": [], }, { "label": "🧹 Clean Up", "type": "shell", "command": "${command:python.interpreterPath}", "args": [ "scripts/run_with_env.py", "${command:python.interpreterPath}", "-m", "guidata.utils.cleanup" ], "options": { "cwd": "${workspaceFolder}" }, "group": { "kind": "build", "isDefault": true }, "presentation": { "echo": true, "reveal": "always", "focus": false, "panel": "shared", "showReuseMessage": true, "clear": false, }, }, { "label": "📚 Build doc", "command": "${command:python.interpreterPath}", "args": [ "scripts/run_with_env.py", "${command:python.interpreterPath}", "-m", "sphinx", "build", "doc", "${workspaceFolder}/build/doc", "-b", "html", "-D", "language=fr", // "-W", ], "options": { "cwd": "${workspaceFolder}", }, "group": { "kind": "build", "isDefault": true, }, "presentation": { "clear": true, "echo": true, "focus": false, "panel": "dedicated", "reveal": "always", "showReuseMessage": true, }, "type": "shell", "dependsOrder": "sequence", "dependsOn": [ "Generate requirements", ], }, { "label": "🌐 Open HTML doc", "type": "shell", "windows": { "command": "start build/doc/index.html", }, "linux": { "command": "xdg-open build/doc/index.html", }, "osx": { "command": "open build/doc/index.html", }, "options": { "cwd": "${workspaceFolder}", }, "problemMatcher": [], }, { "label": "📦 Build package", "type": "shell", "command": "${command:python.interpreterPath}", "args": [ "scripts/run_with_env.py", "${command:python.interpreterPath}", "-m", "guidata.utils.securebuild", "--prebuild", "python -m guidata.utils.translations compile --name sigima --directory .", ], "options": { "cwd": "${workspaceFolder}", }, "group": { "kind": "build", "isDefault": false, }, "presentation": { "clear": true, "panel": "dedicated", }, "problemMatcher": [], "dependsOrder": "sequence", "dependsOn": [ "🧹 Clean Up", ], }, { "label": "❔ Untracked files", "type": "shell", "command": "git ls-files --others | Where-Object { $_ -notmatch '^\\.' -and $_ -notmatch '^(build|dist|releases)/' -and $_ -notmatch '.(pyc|mo)$'}", "options": { "cwd": "${workspaceFolder}", }, "group": { "kind": "build", "isDefault": true, }, "presentation": { "echo": true, "reveal": "always", "focus": false, "panel": "dedicated", "showReuseMessage": true, "clear": true, }, }, ], }Sigima-1.1.1/LICENSE000066400000000000000000000030001514013333200137140ustar00rootroot00000000000000BSD 3-Clause License Copyright (c) 2023, DataLab Platform Developers. All rights reserved. Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met: 1. Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer. 2. Redistributions in binary form must reproduce the above copyright notice, this list of conditions and the following disclaimer in the documentation and/or other materials provided with the distribution. 3. Neither the name of the copyright holder nor the names of its contributors may be used to endorse or promote products derived from this software without specific prior written permission. THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. Sigima-1.1.1/MANIFEST.in000066400000000000000000000001161514013333200144520ustar00rootroot00000000000000graft doc graft sigima/locale include CONTRIBUTING.md include requirements.txtSigima-1.1.1/README.md000066400000000000000000000163221514013333200142010ustar00rootroot00000000000000# Sigima - Scientific Image and Signal Processing Library ![Sigima](https://raw.githubusercontent.com/DataLab-Platform/Sigima/main/doc/images/Sigima-Banner.svg) [![license](https://img.shields.io/pypi/l/sigima.svg)](./LICENSE) [![pypi version](https://img.shields.io/pypi/v/sigima.svg)](https://pypi.org/project/sigima/) [![PyPI status](https://img.shields.io/pypi/status/sigima.svg)](https://github.com/DataLab-Platform/Sigima) [![PyPI pyversions](https://img.shields.io/pypi/pyversions/sigima.svg)](https://pypi.org/project/sigima/) [![Sigima demo](https://img.shields.io/badge/notebook-link-e2d610?logo=jupyter&logoColor=white)](https://notebook.link/github/DataLab-Platform/Sigima/tree/main/notebooks/?path=notebooks/sigima_basic_example.ipynb) **Sigima** is an **open-source Python library for scientific image and signal processing**, designed as a modular and testable foundation for building advanced analysis pipelines. 🔬 Developed by the [DataLab Platform Developers](https://github.com/DataLab-Platform), Sigima powers the computation backend of [DataLab](https://datalab-platform.com/). ## 🚀 Try it Online **Experience Sigima instantly in your browser** — no installation required! [![Sigima demo](https://img.shields.io/badge/notebook-link-e2d610?logo=jupyter&logoColor=white)](https://notebook.link/github/DataLab-Platform/Sigima/tree/main/notebooks/?path=notebooks/sigima_basic_example.ipynb) Click the badge above to open a basic example notebook in a live JupyterLite environment powered by [**notebook.link**](https://notebook.link/). This service, developed by [**QuantStack**](https://quantstack.net/), enables sharing and running Jupyter notebooks directly in the browser with zero setup. Simply run the cells to explore: - Creating signal and image objects - Applying processing functions - Visualizing results inline --- ## 🌟 Project & Sponsors | Project/Sponsor | Description | |---------------------|-------------| | DataLab logo | Open-source platform for scientific signal and image processing, powered by Sigima. | | NLnet logo | European non-profit supporting open-source and internet projects. Sigima has received funding from NLnet for its development, through the DataLab project. | --- ## ✨ Highlights - Unified processing model for **1D signals** and **2D images** - Works with **object-oriented wrappers** (`SignalObj`, `ImageObj`) extending NumPy arrays - Includes common processing tasks: filtering, smoothing, binning, thresholding, labeling, etc. - Structured for **testability**, **modularity**, and **headless usage** - 100% **independent of GUI frameworks** (no Qt/PlotPyStack dependencies) --- ## 💡 Use cases Sigima is meant to be: - A **processing backend** for scientific/industrial tools - A library to **build reproducible analysis pipelines** - A component for **headless automation or remote execution** - A testbed for **developing and validating new signal/image operations** --- ## 📖 Design Philosophy The main goal of **Sigima** is to provide a unified, high-level API for handling and processing **1D signals** and **2D images**, through dedicated Python objects: `SignalObj` and `ImageObj`. The library is organized to separate concerns clearly: - `sigima.objects`: defines the object model for signals and images. - `sigima.params`: contains parameter classes for configuring processing functions. - `sigima.proc`: provides high-level processing functions that operate directly on `SignalObj` and `ImageObj` instances. - `sigima.io`: handles input/output operations (CSV files, image formats, etc.) for signals and images. - `sigima.tools`: contains **low-level, NumPy-based functions** that implement the core logic behind many processing routines. This structure supports a **layered programming model**: - Developers can use `computation` to process full signal/image objects in an object-oriented manner. - Or they can directly use `tools` to process raw NumPy arrays — for instance, in custom tools or when integrating Sigima into other projects. > ⚠️ `sigima.tools` is not intended as a general-purpose NumPy extension. Its purpose is to **fill in the gaps** of common scientific libraries (NumPy, SciPy, scikit-image, etc.), offering consistent tools for signal/image processing in the context of Sigima and similar projects. --- ## Usage Outside Sigima Although Sigima is designed primarily for object-based processing, some of its core functions are useful on their own. For instance, the [DataLab](https://datalab-platform.com) project — an open-source platform for signal/image processing — uses many functions from `sigima.tools` independently of the object model. This demonstrates how `sigima.tools` can serve as a **lightweight utility layer** in scientific and industrial Python applications, even when the object model is not used directly. To maintain this flexibility and avoid confusion, the distinction between `tools` (array-based) and `computation` (object-based) is intentional and explicit. --- ## 📦 Installation ```bash pip install sigima ``` Or in a development environment: ```bash git clone https://github.com/DataLab-Platform/Sigima.git cd Sigima pip install -e . ``` --- ## 📚 Documentation 📖 Full documentation (in progress) is available at: 👉 > Want to use Sigima inside DataLab with GUI tools? > Check out the full platform: [DataLab](https://datalab-platform.com/) --- ## ⚙️ Architecture Sigima is organized by data type: ```text sigima/ ├── tools/ # Low-level NumPy-based algorithms supporting some computation functions ├── proc/ # High-level processing functions operating on SignalObj/ImageObj │ ├── base/ # Common processing functions │ ├── signal/ # 1D signal processing │ └── image/ # 2D image processing ``` Each domain provides: - Low-level functions operating on NumPy arrays - High-level functions operating on `SignalObj` or `ImageObj` --- ## 🧪 Testing Sigima comes with unit tests based on `pytest`. To run all tests: ```bash pytest ``` To run GUI-assisted validation tests (optional): ```bash pytest --gui ``` --- ## 🧠 License Sigima is distributed under the terms of the BSD 3-Clause license. See [LICENSE](./LICENSE) for details. --- ## 🤝 Contributing Bug reports, feature requests and pull requests are welcome! See the [CONTRIBUTING](https://datalab-platform.com/en/contributing) guide to get started. --- ![Python](https://raw.githubusercontent.com/DataLab-Platform/DataLab/main/doc/images/logos/Python.png) ![NumPy](https://raw.githubusercontent.com/DataLab-Platform/DataLab/main/doc/images/logos/NumPy.png) ![SciPy](https://raw.githubusercontent.com/DataLab-Platform/DataLab/main/doc/images/logos/SciPy.png) ![scikit-image](https://raw.githubusercontent.com/DataLab-Platform/DataLab/main/doc/images/logos/scikit-image.png) ![OpenCV](https://raw.githubusercontent.com/DataLab-Platform/DataLab/main/doc/images/logos/OpenCV.png) --- © DataLab Platform Developers Sigima-1.1.1/babel.cfg000066400000000000000000000001321514013333200144400ustar00rootroot00000000000000# This file is used to configure Babel for the project. 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This API is designed to be simple and effective, allowing users to perform signal and image processing tasks with ease. .. list-table:: :header-rows: 1 :align: left * - Submodule - Purpose * - :mod:`sigima.tools` - Algorithms for data analysis (operating on NumPy arrays) which purpose is to fill in the gaps of common scientific libraries (NumPy, SciPy, scikit-image, etc.), offering consistent tools for computation functions (see :mod:`sigima.proc`) * - :mod:`sigima.params` - Sets of parameters for configuring computation functions (these parameters are instances of :class:`guidata.dataset.DataSet` objects) * - :mod:`sigima.objects` - Object model for signals and images (:class:`sigima.objects.SignalObj` and :class:`sigima.objects.ImageObj`), scalar results (:class:`sigima.objects.GeometryResult` and :class:`sigima.objects.TableResult`), and related functions * - :mod:`sigima.proc` - Computation functions, which operate on signal and image objects (:class:`sigima.objects.SignalObj` or :class:`sigima.objects.ImageObj`) and return signal or image objects, or scalar results (:class:`sigima.objects.GeometryResult` or :class:`sigima.objects.TableResult`). * - :mod:`sigima.config` - Configuration management for the Sigima library, including options for data paths, translations, and other settings. * - :mod:`sigima.client` - Client interface for connecting to DataLab application through XML-RPC protocol, providing remote control capabilities for signal and image processing workflows. * - :mod:`sigima.viz` - Visualization tools for interactive display of signal and image objects, supporting PlotPy and Matplotlib backends for testing, debugging, and Jupyter notebook analysis. .. toctree:: :maxdepth: 2 :caption: Public features: tools params objects proc config client viz Sigima-1.1.1/doc/api/objects.rst000066400000000000000000000000601514013333200164130ustar00rootroot00000000000000.. automodule:: sigima.objects :no-members: Sigima-1.1.1/doc/api/params.rst000066400000000000000000000000571514013333200162530ustar00rootroot00000000000000.. automodule:: sigima.params :no-members: Sigima-1.1.1/doc/api/proc.rst000066400000000000000000000000551514013333200157310ustar00rootroot00000000000000.. automodule:: sigima.proc :no-members: Sigima-1.1.1/doc/api/tools.rst000066400000000000000000000000351514013333200161240ustar00rootroot00000000000000.. automodule:: sigima.tools Sigima-1.1.1/doc/api/viz.rst000066400000000000000000000075441514013333200156100ustar00rootroot00000000000000.. _api_viz: :mod:`sigima.viz` --- Visualization Tools ========================================= .. module:: sigima.viz This module provides visualization utilities for Sigima objects, useful for: - Interactive testing and debugging - Data analysis in Jupyter notebooks - Quick visual inspection of processing results Backend Selection ----------------- The module automatically selects between **PlotPy** and **Matplotlib** backends based on availability and configuration settings. The backend selection follows this priority: 1. Environment variable ``SIGIMA_VIZ_BACKEND`` (if set) 2. Configuration option :attr:`sigima.config.options.viz_backend` 3. Auto-detection (PlotPy preferred, Matplotlib as fallback) Backend selection logic: - ``"auto"``: Try PlotPy first, fall back to Matplotlib - ``"plotpy"``: Use PlotPy (raise :class:`ImportError` if not available) - ``"matplotlib"``: Use Matplotlib (raise :class:`ImportError` if not available) .. rubric:: Configuring the Backend Using environment variable: .. code-block:: python import os os.environ["SIGIMA_VIZ_BACKEND"] = "matplotlib" # Before importing sigima.viz from sigima import viz # Now uses Matplotlib backend Using configuration option: .. code-block:: python from sigima.config import options options.viz_backend.set("plotpy") from sigima import viz # Now uses PlotPy backend Module Attributes ----------------- .. py:data:: BACKEND_NAME :type: str Name of the currently selected backend: ``"plotpy"`` or ``"matplotlib"``. .. py:data:: BACKEND_SOURCE :type: str How the backend was selected: ``"env"``, ``"config"``, or ``"auto"``. Quick Start ----------- .. code-block:: python from sigima import viz import sigima.proc.signal as sips from sigima.tests.data import get_test_signal # Load a test signal signal = get_test_signal("paracetamol.txt") # Apply some processing filtered = sips.moving_average(signal, n=10) # View the results viz.view_curves([signal, filtered], title="Signal Processing") Viewing Functions ----------------- These functions display Sigima objects (:class:`~sigima.objects.SignalObj` and :class:`~sigima.objects.ImageObj`) in interactive dialogs or plots. .. autofunction:: view_curves .. autofunction:: view_images .. autofunction:: view_images_side_by_side .. autofunction:: view_curves_and_images Low-Level Viewing Functions --------------------------- These functions display plot items (curves, images) rather than Sigima objects. .. autofunction:: view_curve_items .. autofunction:: view_image_items Creation Functions ------------------ These functions create plot items that can be passed to the low-level viewing functions. Curve and Image Items ~~~~~~~~~~~~~~~~~~~~~ .. autofunction:: create_curve .. autofunction:: create_image Annotation Items ~~~~~~~~~~~~~~~~ .. autofunction:: create_contour_shapes .. autofunction:: create_circle .. autofunction:: create_segment .. autofunction:: create_cursor .. autofunction:: create_range .. autofunction:: create_label .. autofunction:: create_marker Backend Differences ------------------- The two backends have different capabilities: .. list-table:: :header-rows: 1 :widths: 40 30 30 * - Feature - PlotPy - Matplotlib * - Interactive zoom/pan - ✅ Full Qt tools - ✅ Basic toolbar * - ROI display - ✅ Native support - ✅ Patches overlay * - Geometry results - ✅ Shape annotations - ✅ Markers/lines * - Linked axes - ✅ Native - ✅ via ``sharex``/``sharey`` * - Qt integration - ✅ Native - ⚠️ Requires Qt backend * - Headless/CI - ⚠️ Needs display - ✅ ``Agg`` backend For automated testing and CI environments, Matplotlib with the ``Agg`` backend is recommended. For interactive data exploration, PlotPy provides a richer experience. Sigima-1.1.1/doc/conf.py000066400000000000000000000200471514013333200147650ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. # pylint: skip-file import os import os.path as osp import sys import guidata.config as gcfg from docutils import nodes from docutils.parsers.rst import Directive from docutils.statemachine import StringList from guidata.utils import qt_scraper class OptionsTableDirective(Directive): """Custom directive to include dynamically generated options table.""" has_content = False def run(self): """Generate and include the options table.""" from sigima.config import options # Get the RST content rst_content = options.generate_rst_doc() # Create a container node container = nodes.container() # Parse the RST content and add it to the container rst_lines = rst_content.splitlines() string_list = StringList(rst_lines) self.state.nested_parse(string_list, self.content_offset, container) return [container] sys.path.insert(0, os.path.abspath("..")) import sigima # Turn off validation of guidata config # (documentation build is not the right place for validation) gcfg.set_validation_mode(gcfg.ValidationMode.DISABLED) def exclude_api_from_gettext(app): """Exclude detailed API docs from gettext extraction. This excludes API docs but keeps api/index.rst for translation. """ if app.builder.name == "gettext": # Get all RST files in the api directory api_dir = osp.join(app.srcdir, "api") if osp.exists(api_dir): for filename in os.listdir(api_dir): if filename.endswith(".rst") and filename != "index.rst": # Remove .rst extension and add wildcard pattern = f"api/{filename[:-4]}*" if pattern not in app.config.exclude_patterns: app.config.exclude_patterns.append(pattern) # Also check subdirectories (may be useful in the future) for dirname in os.listdir(api_dir): subdir_path = osp.join(api_dir, dirname) if osp.isdir(subdir_path): # Exclude entire subdirectories except their index files pattern = f"api/{dirname}/*" if pattern not in app.config.exclude_patterns: app.config.exclude_patterns.append(pattern) # Suppress warnings about excluded API documents during gettext builds app.config.suppress_warnings.extend(["toc.excluded", "ref.doc"]) def patch_datalab_client_example(): """Patch the datalab_client example to use stub server during doc build. This function modifies the example execution context so that when Sphinx-Gallery runs datalab_client.py, it connects to a stub server instead of requiring a real DataLab instance. """ from sigima.client.stub import patch_simpleremoteproxy_for_stub # Start stub server and apply the patch return patch_simpleremoteproxy_for_stub() def setup(app): """Setup function for Sphinx.""" app.add_directive("options-table", OptionsTableDirective) app.connect("builder-inited", exclude_api_from_gettext) # -- Project information ----------------------------------------------------- project = "Sigima" author = "" copyright = "2025, DataLab Platform Developers" release = sigima.__version__ # -- General configuration --------------------------------------------------- extensions = [ "sphinx.ext.intersphinx", "sphinx.ext.napoleon", "sphinx.ext.mathjax", "sphinx.ext.githubpages", "sphinx.ext.viewcode", "myst_nb", # Replaces myst_parser and adds notebook support "sphinx_design", "sphinx_copybutton", "guidata.dataset.autodoc", "sphinx_gallery.gen_gallery", ] # MyST-NB configuration nb_execution_mode = "off" # Don't re-execute notebooks during build nb_execution_timeout = 180 # Timeout for notebook execution (if enabled) templates_path = ["_templates"] exclude_patterns = [ "sg_execution_times.rst", "**/sg_execution_times.rst", # exclude .py and .ipynb files in auto_examples generated by sphinx-gallery # this is to prevent sphinx from complaining about duplicate source files "auto_examples/**/*.ipynb", "auto_examples/**/*.py", ] # Suppress the warning about unpicklable sphinx_gallery_conf # (it contains reset_modules function which cannot be pickled) suppress_warnings = ["config.cache"] # -- Sphinx-Gallery configuration -------------------------------------------- # Using guidata's generic Qt scraper for capturing all Qt widgets # Configure to use the last widget as thumbnail for a complete pipeline view qt_scraper.set_qt_scraper_config( thumbnail_source="last", hide_toolbars=True, capture_inside_layout=True ) sphinx_gallery_conf = qt_scraper.get_sphinx_gallery_conf( filename_pattern="", min_reported_time=60, show_memory=False ) if "READTHEDOCS" in os.environ or "CI" in os.environ: os.environ.setdefault("QT_QPA_PLATFORM", "offscreen") # Patch datalab_client example to use stub server during documentation build _stub_server = None def _reset_example_namespace(gallery_conf, fname): """Reset namespace and setup stub server for datalab_client example.""" global _stub_server # Cleanup previous stub server if it exists if _stub_server is not None: _stub_server.stop() _stub_server = None # Setup new stub server for datalab_client example if "datalab_client" in fname: _stub_server = patch_datalab_client_example() # Add reset handler to sphinx_gallery_conf sphinx_gallery_conf["reset_modules"] = _reset_example_namespace sphinx_gallery_conf["reset_modules_order"] = "before" sphinx_gallery_conf["subsection_order"] = [ "./examples/getting_started", "./examples/use_cases", "./examples/features", ] sphinx_gallery_conf["within_subsection_order"] = "ExampleTitleSortKey" # Note: The handler also cleans up the stub server from previous examples # -- Options for HTML output ------------------------------------------------- html_theme = "pydata_sphinx_theme" html_title = project html_logo = "images/Sigima-Banner.svg" html_favicon = "_static/favicon.ico" html_show_sourcelink = False templates_path = ["_templates"] # if "language=fr" in sys.argv: # ann = "" # noqa: E501 # else: # ann = "" # noqa: E501 html_theme_options = { "show_toc_level": 2, "github_url": "https://github.com/DataLab-Platform/Sigima/", "logo": { "text": f"v{sigima.__version__}", }, "icon_links": [ { "name": "PyPI", "url": "https://pypi.org/project/sigima", "icon": "_static/pypi.svg", "type": "local", "attributes": {"target": "_blank"}, }, { "name": "CODRA", "url": "https://codra.net", "icon": "_static/codra.png", "type": "local", "attributes": {"target": "_blank"}, }, { "name": "DataLab", "url": "https://datalab-platform.com", "icon": "_static/DataLab.svg", "type": "local", "attributes": {"target": "_blank"}, }, ], # "announcement": ann, } html_static_path = ["_static"] # -- Options for LaTeX output ------------------------------------------------ latex_logo = "_static/Sigima-Frontpage.png" # -- Options for sphinx-intl package ----------------------------------------- locale_dirs = ["locale/"] # path is example but recommended. gettext_compact = False gettext_location = False # -- Options for autodoc extension ------------------------------------------- autodoc_default_options = { "members": True, "member-order": "bysource", } # -- Options for intersphinx extension --------------------------------------- intersphinx_mapping = { "python": ("https://docs.python.org/3", None), "numpy": ("https://numpy.org/doc/stable/", None), "scipy": ("https://docs.scipy.org/doc/scipy/", None), "scikit-image": ("https://scikit-image.org/docs/stable/", None), "guidata": ("https://guidata.readthedocs.io/en/latest/", None), } Sigima-1.1.1/doc/contributing/000077500000000000000000000000001514013333200161725ustar00rootroot00000000000000Sigima-1.1.1/doc/contributing/contribute_code.rst000066400000000000000000000026011514013333200220730ustar00rootroot00000000000000.. _contribute_code: Contribute code =============== This page explains how you can contribute code to the project. .. seealso:: The :ref:`guidelines` page presents the coding guidelines that you should follow when contributing to the project. Fork the project ---------------- The first step is to fork the project on GitHub. You can do that by visiting `DataLab GitHub project `_ and clicking on the "Fork" button on the top right corner of the page. Once you have forked the project, you will have a copy of the project in your own GitHub account. Then you can clone the project on your computer and start working on it. Submit a pull request --------------------- Once you have made some changes, you can submit a pull request to the original project. To do that, go to your forked project on GitHub and click on the "Pull request" button on the top right corner of the page. Then you will have to fill a form to describe your pull request. Once you have submitted the pull request, the project maintainers will review your changes and merge them if they are satisfied. During the review process, the project maintainers will check that your code follows the coding guidelines and that it does not break the existing tests. If your code does not follow the coding guidelines, you will have to fix it before your pull request can be merged. Sigima-1.1.1/doc/contributing/dependencies.rst000066400000000000000000000071231514013333200213550ustar00rootroot00000000000000.. _dependencies: About Dependencies ================== Dependencies are an important part of any software project, and they can significantly affect the development process. In this section, we will discuss the dependencies used in our project, how to manage them, and best practices for keeping them up to date. Managing Dependencies --------------------- Dependencies are defined in the `pyproject.toml` file, as officially recommended by the Python packaging authority (see `Writing your pyproject.toml `_). The `pyproject.toml` file contains many sections, but the most relevant for dependencies are: - `[project.dependencies]`: This section lists the direct dependencies of the application. These are the packages that the application needs to run. - `[project.optional-dependencies]`: This section lists optional dependencies that can be installed to enable additional features. These dependencies are not required for the core functionality of the application but can enhance its capabilities. Among the optional dependencies, we have the following groups: - `opencv`: computer vision tasks requiring OpenCV. - `dev`: development and testing (linters, formatters, etc.). - `doc`: building the documentation (Sphinx, etc.). - `test`: running the tests (pytest, etc.). - `qt`: Qt-based graphical user interface (for interactive testing purposes). Deploying Dependencies ---------------------- Production ^^^^^^^^^^ In production, we recommend using the package manager that is most suitable for your environment and that you are most comfortable with. All package managers (e.g., `pip`, `conda`) are directly or indirectly using the information from the `pyproject.toml` file to install the dependencies. See :ref:`installation` for more information on how to install DataLab and its dependencies. Development ^^^^^^^^^^^ In development, you may also use the requirements text file to make it easier to install the dependencies in a virtual environment or container. The `requirements.txt` file lists all the dependencies needed for the project, including both direct and optional dependencies. This is the exact list of dependencies that are defined in the `pyproject.toml` file, but formatted for use with `pip` or other package managers that support requirements files. .. note:: The requirements file is generated from the `pyproject.toml` file using a tool provided by the `guidata` package. .. code-block:: console python -m guidata.utils.genreqs txt # to generate requirements.txt Adding New Dependencies ----------------------- When adding new dependencies to the project, please follow these rules: 1. If it is a direct dependency, that is a package that the application needs to run, add it to the `[project.dependencies]` section in the `pyproject.toml` file, and specify the version range that is compatible with the application, in order to avoid breaking changes. 2. If it is an optional dependency, that is a package that can be installed to enable additional features, add it to the appropriate section in the `[project.optional-dependencies]` section in the `pyproject.toml` file. - For the `dev` dependencies, unless it's absolutely necessary, do not specify a version range, as it may limit the ability to use the latest version of the package. - For the other optional dependencies, specify the version range that is compatible with the application, in order to avoid breaking changes. .. note:: In other words, except for the `dev` dependencies, always specify a version range that is compatible with the application.Sigima-1.1.1/doc/contributing/environment.md000066400000000000000000000104601514013333200210610ustar00rootroot00000000000000Setting up Development Environment ================================== Getting started with DataLab development is easy. Here is what you will need: 1. An integrated development environment (IDE) for Python. We recommend [Spyder](https://www.spyder-ide.org/) or [Visual Studio Code](https://code.visualstudio.com/), but any IDE will do. 2. A Python distribution. We recommend [WinPython](https://winpython.github.io/), on Windows, or [Anaconda](https://www.anaconda.com/), on Linux or Mac. But, again, any Python distribution will do. 3. A clean project structure (see below). 4. Test data (see below). 5. Environment variables (see below). 6. Third-party software (see below). Development Environment ----------------------- If you are using [Spyder](https://www.spyder-ide.org/), thank you for supporting the scientific open-source Python community! If you are using Visual Studio Code, that's also an excellent choice (for other reasons). We recommend installing the following extensions: | Extension | Description | | --------- | ----------- | | [gettext](https://marketplace.visualstudio.com/items?itemName=mrorz.language-gettext) | Gettext syntax highlighting | | [Pylance](https://marketplace.visualstudio.com/items?itemName=ms-python.vscode-pylance) | Python language server | | [Python](https://marketplace.visualstudio.com/items?itemName=ms-python.python) | Python extension | | [reStructuredText Syntax highlighting](https://marketplace.visualstudio.com/items?itemName=trond-snekvik.simple-rst) | reStructuredText syntax highlighting | | [Ruff](https://marketplace.visualstudio.com/items?itemName=charliermarsh.ruff) | Extremely fast Python linter and code formatter | | [Todo Tree](https://marketplace.visualstudio.com/items?itemName=Gruntfuggly.todo-tree) | Todo tree | | [Insert GUID](https://marketplace.visualstudio.com/items?itemName=heaths.vscode-guid) | Insert GUID | | [XML Tools](https://marketplace.visualstudio.com/items?itemName=DotJoshJohnson.xml) | XML Tools | Python Environment ------------------ Sigima requires the following : * Python (e.g. WinPython) * Additional Python packages Installing all required packages : pip install --upgrade -r requirements.txt If you are using [WinPython](https://winpython.github.io/), thank you for supporting the scientific open-source Python community! The following table lists the currently officially used Python distributions: | Python version | Status | WinPython version | | -------------- | ------------ | ----------------- | | 3.9 | OK | 3.9.10.0 | | 3.10 | OK | 3.10.11.1 | | 3.11 | OK | 3.11.5.0 | | 3.12 | OK | 3.12.3.0 | | 3.13 | OK | 3.13.2.0 | ⚠ We strongly recommend using the `.dot` versions of WinPython which are lightweight and can be customized to your needs (using `pip install -r requirements.txt`). ✅ We also recommend using a dedicated WinPython instance for Sigima. Test data --------- Sigima test data are located in different folders, depending on their nature or origin. Required data for unit tests are located in "sigima\data\tests" (public data). A second folder %SIGIMA_DATA% (optional) may be defined for additional tests which are still under development (or for confidential data). Specific environment variables ------------------------------ Visual Studio Code configuration used in `launch.json` and/or `tasks.json` (examples) : @REM Folder containing additional working test data set SIGIMA_DATA=C:\Dev\Projets\SIGIMA_data Visual Studio Code `.env` file: * This file is used to set environment variables for the application. * It is used to set the `PYTHONPATH` environment variable to the root of the project. * This is required to be able to import the project modules from within VS Code. * To create this file, copy the `.env.template` file to `.env` (and eventually add your own paths). Third-party Software -------------------- The following software may be required for maintaining the project: | Software | Description | | -------- | ----------- | | [gettext](https://mlocati.github.io/articles/gettext-iconv-windows.html) | Translations | | [Git](https://git-scm.com/) | Version control system | | [ImageMagick](https://imagemagick.org/) | Image manipulation utilities | Sigima-1.1.1/doc/contributing/gitworkflow.rst000066400000000000000000000207641514013333200213130ustar00rootroot00000000000000.. _gitworkflow: Git Workflow ============ This document describes the Git workflow used in the Sigima project, based on a ``main`` branch, a ``develop`` branch, and feature-specific branches. It also defines how bug fixes are managed. .. note:: This workflow is a simplified version of the `Gitflow Workflow `_. It has been adapted to suit the needs of the Sigima project at the current stage of development. In the near future, we may consider adopting a more complex workflow, e.g. by adding release branches. Branching Model --------------- Main Branches ^^^^^^^^^^^^^ - ``main``: Represents the stable, production-ready version of the project. - ``develop``: Used for ongoing development and integration of new features. Feature Branches ^^^^^^^^^^^^^^^^ - ``feature/feature_name``: Used for the development of new features. - Created from ``develop``. - Merged back into ``develop`` once completed. - Deleted after merging. Release Branch ^^^^^^^^^^^^^^ - ``release``: Represents the current maintenance line for patch releases. - Created from ``main`` after a stable release when the first patch is needed. - Accepts ``fix/xxx`` and ``hotfix/xxx`` branch merges. - Merged back into ``main`` for each patch release tag (e.g., 1.0.1, 1.0.2). - Reset or recreated when starting a new minor/major release cycle. .. note:: The ``release`` branch is not versioned (no ``release/1.0.x``). It always represents "the current maintenance line." When a new minor version is released (e.g., 1.2.0), the old ``release`` branch is deleted and a new one is created from the fresh tag when the first patch for 1.2.1 is needed. Bug Fix Branches ^^^^^^^^^^^^^^^^ - ``fix/xxx``: Used for general bug fixes that are not urgent. - Created from ``develop`` (for next feature release) or ``release`` (for patch release). - Merged back into the originating branch once completed. - Deleted after merging. - ``hotfix/xxx``: Used for urgent production-critical fixes. - Created from ``release`` (if exists) or ``main`` (if no ``release`` branch yet). - Merged back into ``release`` or ``main``. - The fix is then cherry-picked into ``develop``. - Deleted after merging. .. note:: Hotfixes (high-priority fixes) will be integrated in the next maintenance release (X.Y.Z -> Z+1), while fixes (low-priority fixes) will be integrated in the next feature release (X.Y -> Y+1). Documentation Branches ---------------------- When working on documentation that is not related to source code (e.g. training materials, user guides), branches should be named using the ``doc/`` prefix. Examples: - ``doc/training-materials`` - ``doc/user-guide`` This naming convention improves clarity by clearly separating documentation efforts from code-related development (features, fixes, etc.). Workflow for New Features ------------------------- 1. Create a new feature branch from ``develop``: .. code-block:: sh git checkout develop git checkout -b develop/feature_name 2. Develop the feature and commit changes. 3. Merge the feature branch back into ``develop``: .. code-block:: sh git checkout develop git merge --no-ff develop/feature_name 4. Delete the feature branch: .. code-block:: sh git branch -d develop/feature_name .. warning:: Do not leave feature branches unmerged for too long. Regularly rebase them on ``develop`` to minimize conflicts. Workflow for Regular Bug Fixes ------------------------------ For next feature release (target: ``develop``): 1. Create a bug fix branch from ``develop``: .. code-block:: sh git checkout develop git checkout -b fix/bug_description 2. Apply the fix and commit changes. 3. Merge the fix branch back into ``develop``: .. code-block:: sh git checkout develop git merge --no-ff fix/bug_description 4. Delete the fix branch: .. code-block:: sh git branch -d fix/bug_description For current maintenance release (target: ``release``): 1. Create a bug fix branch from ``release``: .. code-block:: sh git checkout release git checkout -b fix/bug_description 2. Apply the fix and commit changes. 3. Merge the fix branch back into ``release``: .. code-block:: sh git checkout release git merge --no-ff fix/bug_description 4. Delete the fix branch: .. code-block:: sh git branch -d fix/bug_description .. warning:: Do not create a ``fix/xxx`` branch from a ``develop/feature_name`` branch. Always branch from ``develop`` or ``release`` to ensure fixes are correctly propagated. .. code-block:: sh # Incorrect: git checkout develop/feature_name git checkout -b fix/wrong_branch .. code-block:: sh # Correct: git checkout develop git checkout -b fix/correct_branch Workflow for Critical Hotfixes ------------------------------ 1. Create a hotfix branch from ``release`` (or ``main`` if no ``release`` branch exists): .. code-block:: sh git checkout release # or: git checkout main git checkout -b hotfix/critical_bug 2. Apply the fix and commit changes. 3. Merge the fix back into ``release`` (or ``main``): .. code-block:: sh git checkout release # or: git checkout main git merge --no-ff hotfix/critical_bug 4. Cherry-pick the fix into ``develop``: .. code-block:: sh git checkout develop git cherry-pick 5. Delete the hotfix branch: .. code-block:: sh git branch -d hotfix/critical_bug .. warning:: Do not merge ``fix/xxx`` or ``hotfix/xxx`` directly into ``main`` without following the workflow. Ensure hotfixes are cherry-picked into ``develop`` to avoid losing fixes in future releases. Workflow for Patch Releases ---------------------------- When ready to release a patch version (e.g., 1.0.1, 1.0.2): 1. Ensure the ``release`` branch contains all desired fixes. 2. Merge ``release`` into ``main``: .. code-block:: sh git checkout main git merge --no-ff release 3. Tag the release on ``main``: .. code-block:: sh git tag -a v1.0.1 -m "Release version 1.0.1" git push origin main --tags 4. Keep the ``release`` branch for additional patches in the same minor version series. Workflow for Minor/Major Releases ---------------------------------- When ready to release a new minor or major version (e.g., 1.1.0, 2.0.0): 1. Merge ``develop`` into ``main``: .. code-block:: sh git checkout main git merge --no-ff develop 2. Tag the release on ``main``: .. code-block:: sh git tag -a v1.1.0 -m "Release version 1.1.0" git push origin main --tags 3. Delete the old ``release`` branch (if exists): .. code-block:: sh git branch -d release git push origin --delete release 4. Create a new ``release`` branch from ``main`` when the first patch for 1.1.1 is needed: .. code-block:: sh git checkout main git checkout -b release git push -u origin release Best Practices -------------- - Regularly **rebase feature branches** on ``develop`` to stay up to date: .. code-block:: sh git checkout develop/feature_name git rebase develop - Avoid long-lived branches to minimize merge conflicts. - Ensure bug fixes in ``release`` or ``main`` are **always cherry-picked** to ``develop``. - Clearly differentiate between ``fix/xxx`` (non-urgent fixes) and ``hotfix/xxx`` (critical production fixes). - When creating the ``release`` branch, update release notes to indicate which version it targets (e.g., add a comment in the merge commit: "Create release branch for v1.0.x maintenance"). - The ``release`` branch always represents the current maintenance line. To know which version it targets, check the most recent tag on ``main`` or the release notes. Takeaway -------- This workflow ensures a structured yet flexible development process while keeping ``main`` stable and ``develop`` always updated with the latest changes. The ``release`` branch provides a dedicated maintenance line for patch releases, allowing ``develop`` to proceed with new features without interference. This solves the problem of coordinating unreleased changes across the PlotPyStack ecosystem (DataLab, Sigima, PlotPy, guidata, PythonQwt) by providing a stable branch for CI testing during maintenance cycles. Sigima-1.1.1/doc/contributing/guidelines.rst000066400000000000000000000047101514013333200210560ustar00rootroot00000000000000.. _guidelines: Coding guidelines ================= Generic coding guidelines ------------------------- We follow the `PEP 8 `_ coding style. In particular, we are especially strict about the following guidelines: - Limit all lines to a maximum of 79 characters. - Respect the naming conventions (classes, functions, variables, etc.). - Use specific exceptions instead of the generic :class:`Exception`. To enforce these guidelines, the following tools are mandatory: - `ruff `_ for code formatting and static code analysis. - `pylint `_ for static code analysis. ruff ^^^^ If you are using `Visual Studio Code `_, the project settings will automatically format your code with `ruff` on save (you may also run the task "Run Ruff" to run `ruff` on the project). To run `ruff`, run the following command:: ruff check pylint ^^^^^^ To run `pylint`, run the following command:: pylint sigima If you are using `Visual Studio Code `_ on Windows, you may run the task "Run Pylint" to run `pylint` on the project. .. note:: A `pylint` rating greater than 9/10 is required to merge a pull request. Specific coding guidelines -------------------------- In addition to the generic coding guidelines, we have the following specific guidelines: - Write docstrings for all classes, methods and functions. The docstrings should follow the `Google style `_. - Add typing annotations for all functions and methods. The annotations should use the future syntax (``from __future__ import annotations``) - Try to keep the code as simple as possible. If you have to write a complex piece of code, try to split it into several functions or classes. - Add as many comments as possible. The code should be self-explanatory, but it is always useful to add some comments to explain the general idea of the code, or to explain some tricky parts. - Do not use ``from module import *`` statements, even in the ``__init__`` module of a package. - Avoid using mixins (multiple inheritance) when possible. It is often possible to use composition instead of inheritance. - Avoid using ``__getattr__`` and ``__setattr__`` methods. They are often used to implement lazy initialization, but this can be done in a more explicit way. Sigima-1.1.1/doc/contributing/index.rst000066400000000000000000000103321514013333200200320ustar00rootroot00000000000000Contributing ============ .. meta:: :description: Contribute to Sigima project, the open-source scientific data analysis platform :keywords: Sigima, contribute, open-source, scientific, data, analysis, platform, signal processing, image processing There are many ways to contribute to Sigima, depending on how much time you have, your experience with open source projects, and your skills. Share your ideas and experiences -------------------------------- .. only:: html and not latex :octicon:`info;1em;sd-text-info` :bdg-success-line:`No coding required` Besides the classic bug reports and feature requests, you can share your ideas and experiences for improving Sigima. In particular, we are very interested in your feedback on the documentation and tutorials. Moreover, if you have a use case that you would like to share with the community, please let us know. .. only:: html and not latex .. grid:: 2 :gutter: 1 2 3 4 .. grid-item-card:: :octicon:`bug;1em;sd-text-info` Bugs :link: https://github.com/DataLab-Platform/Sigima/issues/new?assignees=&labels=bug&projects=&template=bug_report.md&title= Reporting a bug .. grid-item-card:: :octicon:`light-bulb;1em;sd-text-info` Enhancements :link: https://github.com/DataLab-Platform/Sigima/issues/new?assignees=&labels=enhancement&projects=&template=feature_request.md&title= Suggesting an enhancement .. grid-item-card:: :octicon:`book;1em;sd-text-info` Documentation :link: https://github.com/DataLab-Platform/Sigima/issues/new?assignees=&labels=documentation&projects=&template=doc_request.md&title= Suggesting a documentation topic .. grid-item-card:: :octicon:`mortar-board;1em;sd-text-info` Tutorial :link: https://github.com/DataLab-Platform/Sigima/issues/new?assignees=&labels=documentation&projects=&template=tutorial_request.md&title= Suggesting a tutorial topic .. only:: latex and not html Without coding, you can contribute to Sigima project by: - `Reporting a bug `_ - `Suggesting an enhancement `_ - `Suggesting a documentation topic `_ - `Suggesting a tutorial topic `_ Share your scientific/technical knowledge ----------------------------------------- .. only:: html and not latex :octicon:`info;1em;sd-text-info` :bdg-success-line:`No coding required` Your technical or scientific knowledge is also very valuable to us, as you may directly contribute to the documentation or tutorials. Or, better, if you want to write a tutorial, we will be happy to help you. Again without coding, you can contribute to Sigima project by: - Writing documentation - Writing a tutorial Contribute to new features -------------------------- .. only:: html and not latex :octicon:`info;1em;sd-text-info` :bdg-info-line:`Coding (beginner)` :bdg-warning-line:`Coding (advanced)` Even if you are not a developer, you can contribute to the project by: - Testing new features - Writing and submitting new Plugins - Writing and submitting macro-commands Develop new features -------------------- .. only:: html and not latex :octicon:`info;1em;sd-text-info` :bdg-warning-line:`Coding (advanced)` If you are a developer, you can contribute to the core of the project by fixing bugs or implementing new features. .. only:: html and not latex .. grid:: 1 :gutter: 1 2 3 4 .. grid-item-card:: :octicon:`terminal;1em;sd-text-info` Code :link: contribute_code :link-type: doc Contributing to the code .. only:: latex and not html See :ref:`contribute_code` section for more information. .. toctree:: :maxdepth: 2 :hidden: contribute_code guidelines gitworkflow dependencies environment Sigima-1.1.1/doc/examples/000077500000000000000000000000001514013333200153015ustar00rootroot00000000000000Sigima-1.1.1/doc/examples/README.txt000066400000000000000000000012661514013333200170040ustar00rootroot00000000000000Examples ======== This section presents a collection of examples demonstrating the capabilities of Sigima. Each example is a standalone Python script that showcases specific features or use cases of the Sigima library, along with visualizations of the results (using the `sigima.viz` module with the `PlotPyStack `_ backend). Of course, some of these examples may seem trivial, but they serve to illustrate how to use various functionalities of Sigima in a clear and concise manner. .. note:: These examples are automatically generated when building the documentation, thus ensuring that they are always up-to-date with the latest version of Sigima. Sigima-1.1.1/doc/examples/features/000077500000000000000000000000001514013333200171175ustar00rootroot00000000000000Sigima-1.1.1/doc/examples/features/README.txt000066400000000000000000000000421514013333200206110ustar00rootroot00000000000000Various Features ---------------- Sigima-1.1.1/doc/examples/features/convolution.py000066400000000000000000000250571514013333200220610ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """ Convolution and Deconvolution ============================= This example focuses on image blurring and sharpening using convolution and deconvolution techniques provided by Sigima. Using various kernels, we'll explore how these operations affect images and how to implement them using Sigima's processing functions. The example shows: * Creating test images and kernels * Basic convolution with Gaussian kernel * Identity convolution (preserving original image) * Deconvolution operations * Effects of different kernel parameters * Custom edge detection and sharpening kernels This tutorial uses PlotPy for visualization, providing interactive plots that allow you to explore the convolution results in detail. """ # %% # Importing necessary modules # --------------------------- # We'll start by importing all the required modules for image processing # and visualization. import numpy as np import scipy.signal import sigima.objects import sigima.params import sigima.proc.image from sigima import viz # %% # Creating test images and kernels # -------------------------------- # We start by creating a test image and various convolution kernels. # Set the fixed image size for this tutorial size = 128 # Generate a test square image with a rectangle in the center data = np.zeros((size, size), dtype=np.float64) data[size // 5 : 2 * size // 5, size // 7 : 5 * size // 7] = 1.0 original_image = sigima.objects.create_image("Original Rectangle", data) # Generate a Gaussian kernel gparam = sigima.objects.Gauss2DParam.create(height=31, width=31, sigma=2.0) nparam = sigima.params.NormalizeParam.create(method="area") gaussian_kernel = sigima.objects.create_image_from_param(gparam) gaussian_kernel = sigima.proc.image.normalize(gaussian_kernel, nparam) gaussian_kernel.title = "Gaussian Kernel (σ=2.0)" # Generate an identity kernel (impulse response) identity_size = 15 identity_kernel = sigima.objects.create_image_from_param( sigima.objects.Zero2DParam.create(height=identity_size, width=identity_size) ) identity_kernel.data[identity_size // 2, identity_size // 2] = 1.0 identity_kernel.title = "Identity Kernel" print("✓ Test images and kernels created successfully!") print("This example demonstrates convolution and deconvolution with Sigima.") print(f"Original image shape: {original_image.data.shape}") print(f"Gaussian kernel shape: {gaussian_kernel.data.shape}") print(f"Identity kernel shape: {identity_kernel.data.shape}") # Display the original image and kernels viz.view_images_side_by_side( [original_image, gaussian_kernel, identity_kernel], ["Original Image", "Gaussian Kernel (σ=2.0)", "Identity Kernel"], title="Test Images and Kernels", ) # %% # Basic convolution with Gaussian kernel # -------------------------------------- # Now we'll perform convolution with the Gaussian kernel and compare # the result with scipy's implementation to verify correctness. # Perform convolution with Gaussian kernel convolved_gauss = sigima.proc.image.convolution(original_image, gaussian_kernel) convolved_gauss.title = "Convolved with Gaussian" # Compare with scipy implementation expected_result = scipy.signal.convolve( original_image.data, gaussian_kernel.data, mode="same", method="auto" ) print("\n✓ Convolution completed!") max_diff = np.max(np.abs(convolved_gauss.data - expected_result)) print(f"Max difference from scipy: {max_diff:.2e}") # Visualize the convolution process viz.view_images_side_by_side( [original_image, gaussian_kernel, convolved_gauss], ["Original Image", "Gaussian Kernel (σ=2.0)", "Convolved Result"], title="Gaussian Convolution Example", ) # %% # Identity convolution # -------------------- # Identity convolution should preserve the original image exactly. # This demonstrates that our convolution implementation is working correctly. # Perform convolution with identity kernel convolved_identity = sigima.proc.image.convolution(original_image, identity_kernel) convolved_identity.title = "Convolved with Identity" # This should be nearly identical to the original difference = np.max(np.abs(convolved_identity.data - original_image.data)) print("\n✓ Identity convolution completed!") print(f"Max difference from original: {difference:.2e}") # Visualize the identity convolution viz.view_images_side_by_side( [original_image, identity_kernel, convolved_identity], ["Original Image", "Identity Kernel", "Convolved with Identity"], "Identity Convolution Example", ) # %% # Deconvolution with identity kernel # ---------------------------------- # Deconvolution is the inverse operation of convolution. We'll start # with a simple case using the identity kernel. # Start with the convolved image and deconvolve using identity kernel deconvolved_identity = sigima.proc.image.deconvolution( convolved_identity, identity_kernel ) deconvolved_identity.title = "Deconvolved (Identity)" # Check how well we recovered the original recovery_error = np.max(np.abs(deconvolved_identity.data - original_image.data)) print("\n✓ Identity deconvolution completed!") print(f"Recovery error: {recovery_error:.2e}") # Visualize the deconvolution process viz.view_images_side_by_side( [original_image, convolved_identity, deconvolved_identity], ["Original", "Convolved", "Deconvolved"], title="Identity Deconvolution Example", ) # %% # Advanced deconvolution with Gaussian kernel # ------------------------------------------- # Now we'll try deconvolution with a Gaussian kernel, which is more # challenging and demonstrates the limitations of deconvolution. # Create a Gaussian kernel with smaller sigma for better deconvolution gparam.sigma = 1.5 deconv_gaussian = sigima.proc.image.normalize( sigima.objects.create_image_from_param(gparam), nparam ) deconv_gaussian.title = "Gaussian Kernel (σ=1.5)" # Convolve the original image with this kernel large_convolved = sigima.proc.image.convolution(original_image, deconv_gaussian) large_convolved.title = "Convolved Image" # Attempt deconvolution to recover the original large_deconvolved = sigima.proc.image.deconvolution(large_convolved, deconv_gaussian) large_deconvolved.title = "Deconvolved Result" print("\n✓ Gaussian deconvolution completed!") orig_min, orig_max = np.min(original_image.data), np.max(original_image.data) deconv_min, deconv_max = np.min(large_deconvolved.data), np.max(large_deconvolved.data) print(f"Original image range: [{orig_min:.3f}, {orig_max:.3f}]") print(f"Deconvolved image range: [{deconv_min:.3f}, {deconv_max:.3f}]") # Visualize the full deconvolution process viz.view_images_side_by_side( [original_image, deconv_gaussian, large_convolved, large_deconvolved], ["Original", "Gaussian Kernel", "Convolved", "Deconvolved"], title="Gaussian Deconvolution Example", ) # %% # Exploring different kernel parameters # ------------------------------------- # Different sigma values in Gaussian kernels produce different blurring effects. # Let's compare several sigma values side by side. # Create kernels with different sigma parameters gparam.sigma = 0.8 small_sigma = sigima.proc.image.normalize( sigima.objects.create_image_from_param(gparam), nparam ) gparam.sigma = 2.0 medium_sigma = sigima.proc.image.normalize( sigima.objects.create_image_from_param(gparam), nparam ) gparam.sigma = 4.0 large_sigma = sigima.proc.image.normalize( sigima.objects.create_image_from_param(gparam), nparam ) # Convolve the original image with each kernel conv_small = sigima.proc.image.convolution(original_image, small_sigma) conv_medium = sigima.proc.image.convolution(original_image, medium_sigma) conv_large = sigima.proc.image.convolution(original_image, large_sigma) print("\n✓ Multiple kernel comparison completed!") # Show the effect of different sigma values on kernels viz.view_images_side_by_side( [small_sigma, medium_sigma, large_sigma], ["Kernel σ=0.8", "Kernel σ=2.0", "Kernel σ=4.0"], title="Gaussian Kernels with Different Sigma Values", ) # Show the effect of different sigma values on convolution results viz.view_images_side_by_side( [conv_small, conv_medium, conv_large], ["Convolved σ=0.8", "Convolved σ=2.0", "Convolved σ=4.0"], title="Convolution Results with Different Sigma Values", ) # %% # Custom convolution kernels # -------------------------- # Besides Gaussian kernels, we can create custom kernels for specific # image processing tasks like edge detection and sharpening. # Edge detection kernel (Sobel-like) edge_data = np.array([[-1, -2, -1], [0, 0, 0], [1, 2, 1]], dtype=np.float64) edge_kernel = sigima.objects.create_image("Edge Detection Kernel", edge_data) # Sharpening kernel sharpen_data = np.array([[0, -1, 0], [-1, 5, -1], [0, -1, 0]], dtype=np.float64) sharpen_kernel = sigima.objects.create_image("Sharpening Kernel", sharpen_data) # Apply custom kernels to the original image edge_result = sigima.proc.image.convolution(original_image, edge_kernel) edge_result.title = "Edge Detection" sharpen_result = sigima.proc.image.convolution(original_image, sharpen_kernel) sharpen_result.title = "Sharpened" print("\n✓ Custom kernel convolutions completed!") # Visualize custom kernels viz.view_images_side_by_side( [edge_kernel, sharpen_kernel], ["Edge Detection Kernel", "Sharpening Kernel"], title="Custom Convolution Kernels", ) # Visualize custom kernel results viz.view_images_side_by_side( [original_image, edge_result, sharpen_result], ["Original", "Edge Detection", "Sharpened"], title="Custom Kernel Convolution Results", ) # %% # Summary and conclusions # ----------------------- # This tutorial demonstrated the key concepts of convolution and deconvolution # in image processing using Sigima. print("\n" + "=" * 60) print("CONVOLUTION TUTORIAL SUMMARY") print("=" * 60) print("✓ Created test images and various kernels") print("✓ Demonstrated basic Gaussian convolution") print("✓ Showed identity kernel behavior") print("✓ Performed deconvolution operations") print("✓ Explored different kernel parameters") print("✓ Applied custom edge detection and sharpening kernels") print("\nKey Takeaways:") print("• Larger sigma values create more blurring") print("• Identity kernels preserve the original image") print("• Deconvolution can recover original features (with limitations)") print("• Custom kernels enable specialized image processing effects") # Final comparison showing the complete pipeline dialog10 = viz.view_images_side_by_side( [original_image, gaussian_kernel, convolved_gauss, large_deconvolved], ["Original", "Gaussian Kernel", "Convolved", "Deconvolved"], title="Complete Convolution-Deconvolution Pipeline", ) Sigima-1.1.1/doc/examples/features/coordinate_systems.py000066400000000000000000000256231514013333200234170ustar00rootroot00000000000000""" Uniform and Non-Uniform Coordinate Systems ========================================== This example demonstrates the use of uniform and non-uniform coordinate systems with images in Sigima. It shows how to create, visualize, and work with both types of coordinate systems, highlighting their differences and appropriate use cases. The example shows: * Creating images with uniform coordinate systems * Creating images with non-uniform coordinate systems * Visualizing the coordinate grids * Comparing pixel spacing and coordinate mapping * Working with real-world units and coordinates * Understanding when to use each coordinate system type This tutorial uses PlotPy for visualization, providing interactive plots that allow you to explore the coordinate system effects in detail. """ # %% # Importing necessary modules # --------------------------- # We'll start by importing all the required modules for image processing # and visualization. import numpy as np from sigima.objects import create_image from sigima.viz import view_images_side_by_side # %% # Creating test images with uniform coordinates # --------------------------------------------- # Uniform coordinates have constant spacing between pixels in both directions. # This is the most common case for regular imaging systems. # Create a simple test pattern - a sine wave pattern size = 100 x_uniform = np.linspace(0, 4 * np.pi, size) y_uniform = np.linspace(0, 4 * np.pi, size) X_uniform, Y_uniform = np.meshgrid(x_uniform, y_uniform) # Create a 2D sine wave pattern data_uniform = np.sin(X_uniform) * np.cos(Y_uniform) # Create the image object with uniform coordinates uniform_image = create_image( title="Uniform Coordinates", data=data_uniform, units=("μm", "μm", "intensity"), labels=("X position", "Y position", "Signal"), ) # Set uniform coordinate system with specific spacing and origin dx = 0.1 # 0.1 μm per pixel in X dy = 0.1 # 0.1 μm per pixel in Y x0 = -2.0 # X origin at -2.0 μm y0 = -2.0 # Y origin at -2.0 μm uniform_image.set_uniform_coords(dx, dy, x0=x0, y0=y0) print("✓ Uniform coordinate image created!") print(f"Image shape: {uniform_image.data.shape}") coord_type = "Uniform" if uniform_image.is_uniform_coords else "Non-uniform" print(f"Coordinate system: {coord_type}") print(f"X spacing (dx): {uniform_image.dx} μm") print(f"Y spacing (dy): {uniform_image.dy} μm") print(f"X origin: {uniform_image.x0} μm") print(f"Y origin: {uniform_image.y0} μm") x_end = uniform_image.x0 + uniform_image.dx * (uniform_image.data.shape[1] - 1) y_end = uniform_image.y0 + uniform_image.dy * (uniform_image.data.shape[0] - 1) print(f"X range: {uniform_image.x0:.1f} to {x_end:.1f} μm") print(f"Y range: {uniform_image.y0:.1f} to {y_end:.1f} μm") # %% # Creating test images with non-uniform coordinates # ------------------------------------------------- # Non-uniform coordinates allow for variable spacing between pixels, # useful for adaptive sampling, curved coordinates, or irregular grids. # Create the same sine wave pattern but with non-uniform coordinates data_nonuniform = data_uniform.copy() # Create non-uniform coordinate arrays # X coordinates: denser near the center, sparser at edges x_center = 2 * np.pi x_range = 4 * np.pi x_nonuniform = x_center + (x_range / 2) * np.tanh(np.linspace(-2, 2, size)) # Y coordinates: quadratic spacing (denser at bottom) y_start = 0 y_end = 4 * np.pi y_nonuniform = y_start + (y_end - y_start) * (np.linspace(0, 1, size) ** 2) # Create the image object with non-uniform coordinates nonuniform_image = create_image( title="Non-Uniform Coordinates", data=data_nonuniform, units=("μm", "μm", "intensity"), labels=("X position", "Y position", "Signal"), ) # Set non-uniform coordinate system nonuniform_image.set_coords(xcoords=x_nonuniform, ycoords=y_nonuniform) print("\n✓ Non-uniform coordinate image created!") print(f"Image shape: {nonuniform_image.data.shape}") coord_type = "Uniform" if nonuniform_image.is_uniform_coords else "Non-uniform" print(f"Coordinate system: {coord_type}") print(f"X coordinates range: {x_nonuniform[0]:.3f} to {x_nonuniform[-1]:.3f} μm") print(f"Y coordinates range: {y_nonuniform[0]:.3f} to {y_nonuniform[-1]:.3f} μm") x_spacing_min = np.min(np.diff(x_nonuniform)) x_spacing_max = np.max(np.diff(x_nonuniform)) y_spacing_min = np.min(np.diff(y_nonuniform)) y_spacing_max = np.max(np.diff(y_nonuniform)) print(f"X spacing varies from {x_spacing_min:.4f} to {x_spacing_max:.4f} μm") print(f"Y spacing varies from {y_spacing_min:.4f} to {y_spacing_max:.4f} μm") # %% # Visualizing coordinate system differences # ----------------------------------------- # Let's create coordinate grid visualizations to highlight the differences # between uniform and non-uniform coordinate systems. # Create coordinate grid images for visualization grid_uniform = np.zeros_like(data_uniform) grid_nonuniform = np.zeros_like(data_nonuniform) # Add grid lines every 10 pixels for uniform coordinates grid_uniform[::10, :] = 1.0 # Horizontal lines grid_uniform[:, ::10] = 1.0 # Vertical lines # Add grid lines every 10 pixels for non-uniform coordinates grid_nonuniform[::10, :] = 1.0 # Horizontal lines grid_nonuniform[:, ::10] = 1.0 # Vertical lines # Create grid visualization images uniform_grid = create_image( title="Uniform Grid", data=grid_uniform, units=("μm", "μm", "grid"), labels=("X position", "Y position", "Grid lines"), ) uniform_grid.set_uniform_coords(dx, dy, x0=x0, y0=y0) nonuniform_grid = create_image( title="Non-Uniform Grid", data=grid_nonuniform, units=("μm", "μm", "grid"), labels=("X position", "Y position", "Grid lines"), ) nonuniform_grid.set_coords(xcoords=x_nonuniform, ycoords=y_nonuniform) print("\n✓ Coordinate grid visualizations created!") # Display the coordinate system comparison view_images_side_by_side( [uniform_image, nonuniform_image], ["Uniform Coordinates", "Non-Uniform Coordinates"], title="Coordinate Systems Comparison - Data Images", share_axes=False, ) view_images_side_by_side( [uniform_grid, nonuniform_grid], ["Uniform Grid", "Non-Uniform Grid"], title="Coordinate Systems Comparison - Grid Visualization", share_axes=False, ) # %% # Creating specialized non-uniform coordinate examples # ---------------------------------------------------- # Let's create some more realistic examples of non-uniform coordinates # that might be encountered in real applications: # # 1. Time-resolved spectroscopy with logarithmic wavelength scale # 2. Polar to Cartesian mapping # Example 1: Logarithmic wavelength scale for spectroscopy # Simulating a time-resolved spectroscopy measurement with log-spaced wavelengths size_log = 80 wavelengths = np.logspace(np.log10(400), np.log10(800), size_log) # 400-800 nm time_points = np.linspace(0, 200, size_log) # Time in milliseconds W, T = np.meshgrid(wavelengths, time_points) # Create a spectral response pattern: a peak that shifts over time # Simulates fluorescence decay with spectral shift peak_center = 500 + 0.5 * T # Peak shifts from 500 to 600 nm over time spectral_data = np.exp(-(((W - peak_center) / 40) ** 2)) * np.exp(-T / 100) spectral_image = create_image( title="Time-Resolved Spectroscopy (Log λ)", data=spectral_data, units=("nm", "ms", "counts"), labels=("Wavelength", "Time", "Fluorescence"), ) spectral_image.set_coords(xcoords=wavelengths, ycoords=time_points) print("\n✓ Time-resolved spectroscopy example created!") print(f"Wavelength range: {wavelengths[0]:.1f} to {wavelengths[-1]:.1f} nm") print(f"Time range: {time_points[0]:.1f} to {time_points[-1]:.1f} ms") wl_spacing_min = np.min(np.diff(wavelengths)) wl_spacing_max = np.max(np.diff(wavelengths)) print(f"Log wavelength spacing: {wl_spacing_min:.2f} to {wl_spacing_max:.2f} nm") # Example 2: Polar to Cartesian mapping size_polar = 60 r_coords = np.linspace(1, 10, size_polar) theta_coords = np.linspace(0, 2 * np.pi, size_polar) # Convert to Cartesian coordinates for non-uniform mapping x_polar = np.zeros((size_polar, size_polar)) y_polar = np.zeros((size_polar, size_polar)) for i, r in enumerate(r_coords): for j, theta in enumerate(theta_coords): x_polar[i, j] = r * np.cos(theta) y_polar[i, j] = r * np.sin(theta) # Create a radial pattern polar_data = np.zeros((size_polar, size_polar)) for i, r in enumerate(r_coords): for j, theta in enumerate(theta_coords): polar_data[i, j] = np.sin(3 * theta) * np.exp(-r / 5) # Note: For this example, we'll use the polar coordinates directly # In practice, you might want to interpolate to a regular Cartesian grid polar_image = create_image( title="Polar Coordinate Mapping", data=polar_data, units=("mm", "rad", "signal"), labels=("Radius", "Angle", "Amplitude"), ) polar_image.set_coords(xcoords=r_coords, ycoords=theta_coords) print("\n✓ Polar coordinate example created!") print(f"Radial range: {r_coords[0]:.1f} to {r_coords[-1]:.1f} mm") print(f"Angular range: {theta_coords[0]:.2f} to {theta_coords[-1]:.2f} rad") # Display the specialized examples view_images_side_by_side( [spectral_image, polar_image], ["Time-Resolved Spectroscopy (Log λ)", "Polar Coordinates"], title="Specialized Non-Uniform Coordinate Examples", share_axes=False, ) # %% # Summary and best practices # -------------------------- # Let's summarize when to use each coordinate system type. print("\n" + "=" * 60) print("COORDINATE SYSTEMS SUMMARY") print("=" * 60) print("\n🔲 UNIFORM COORDINATES:") print(" ✓ Regular imaging systems (cameras, microscopes)") print(" ✓ Constant pixel spacing in physical units") print(" ✓ Simple and memory-efficient") print(" ✓ Fast computations and interpolations") print(" ✓ Easy integration with standard image processing") print("\n🔳 NON-UNIFORM COORDINATES:") print(" ✓ Adaptive sampling systems") print(" ✓ Curved or distorted coordinate systems") print(" ✓ Logarithmic or specialized scales") print(" ✓ Irregular measurement grids") print(" ✓ Coordinate transformations (polar to Cartesian)") print("\n📊 PERFORMANCE CONSIDERATIONS:") print(" • Uniform: O(1) coordinate lookup") print(" • Non-uniform: O(n) coordinate lookup") print(" • Memory: Uniform uses 4 parameters, Non-uniform uses 2×N arrays") print("\n💾 FILE FORMAT SUPPORT:") print(" • Both coordinate types supported in Sigima HDF5 format") print(" • Coordinated text format supports non-uniform coordinates") print(" • Standard image formats (TIFF, etc.) assume uniform coordinates") # Final comparison view view_images_side_by_side( [uniform_image, nonuniform_image, spectral_image, polar_image], [ "Uniform\n(Regular Grid)", "Non-Uniform\n(Variable Grid)", "Time-Resolved\n(Log Wavelength)", "Polar\n(Radial Data)", ], title="Complete Coordinate Systems Overview", share_axes=False, ) print("\n✨ Example completed successfully!") print("This demonstrates the flexibility of Sigima's coordinate system support.") Sigima-1.1.1/doc/examples/features/datalab_client.py000066400000000000000000000032261514013333200224220ustar00rootroot00000000000000""" DataLab remote control example ============================== Example of remote control of DataLab current session, from a Python script running outside DataLab (e.g. in Spyder) This example demonstrates how to control DataLab remotely using the SimpleRemoteProxy from Sigima. The script can be run from any Python environment outside of DataLab to interact with an active DataLab session. .. note:: This example is not executed during documentation build as it requires an active DataLab session to connect to. It is included in the gallery for reference and can be run manually when DataLab is running. """ # %% Importing necessary modules # NumPy for numerical array computations: import numpy as np # DataLab remote control client: from sigima.client import SimpleRemoteProxy as RemoteProxy # %% Connecting to DataLab current session proxy = RemoteProxy(autoconnect=False) proxy.connect(timeout=0.0, retries=1) # No timeout for rapid failure if not running # %% Executing commands in DataLab (...) z = np.random.rand(20, 20) proxy.add_image("toto", z) # %% Executing commands in DataLab (...) proxy.toggle_auto_refresh(False) # Turning off auto-refresh x = np.array([1.0, 2.0, 3.0]) y = np.array([4.0, 5.0, -1.0]) proxy.add_signal("toto", x, y) # %% Executing commands in DataLab (...) proxy.calc("derivative") proxy.toggle_auto_refresh(True) # Turning on auto-refresh # %% Executing commands in DataLab (...) proxy.set_current_panel("image") # %% Executing a lot of commands without refreshing DataLab z = np.random.rand(400, 400) proxy.add_image("foobar", z) with proxy.context_no_refresh(): for _idx in range(100): proxy.calc("fft") Sigima-1.1.1/doc/examples/features/datetime_signals.py000066400000000000000000000204371514013333200230130ustar00rootroot00000000000000""" DateTime Signal Processing ========================== This example demonstrates how to work with signals that have datetime X-axis data in Sigima. DateTime support is essential for time-series analysis where you need to preserve human-readable timestamps while performing signal processing. The example shows: * Creating signals from datetime objects and strings * Using different time units (hours, minutes, seconds, milliseconds, etc.) * Visualizing datetime signals with proper time formatting * CSV I/O with datetime preservation * Roundtrip testing across all supported time units This tutorial uses PlotPy for visualization, providing interactive plots with properly formatted datetime axes. """ # %% # Importing necessary modules # --------------------------- # We'll start by importing all the required modules for datetime signal processing # and visualization. import tempfile from datetime import datetime, timedelta from pathlib import Path import numpy as np from sigima.io.signal.formats import CSVSignalFormat from sigima.objects import SignalObj, create_signal from sigima.objects.signal.constants import TIME_UNIT_FACTORS, VALID_TIME_UNITS from sigima.viz import view_curves # %% # Creating datetime signals from datetime objects # ----------------------------------------------- # The most common way to create datetime signals is from Python datetime objects. # This is useful when you have timestamps from sensors, logs, or other time-series data. # Create a temperature monitoring signal with second-resolution timestamps base_time = datetime(2025, 10, 7, 10, 0, 0) timestamps = [base_time + timedelta(seconds=i * 10) for i in range(100)] # Simulate temperature data with daily variation and noise hours_elapsed = np.arange(100) * 10 / 3600 # Convert to hours temperature = ( 20 + 5 * np.sin(2 * np.pi * hours_elapsed / 24) + np.random.randn(100) * 0.5 ) # Create the signal with datetime X-axis temp_signal = create_signal("Temperature Monitor") temp_signal.set_x_from_datetime(timestamps, unit="s", format_str="%H:%M:%S") temp_signal.y = temperature temp_signal.ylabel = "Temperature" temp_signal.yunit = "°C" print("✓ Temperature signal created successfully!") print(f"Is datetime signal: {temp_signal.is_x_datetime()}") print(f"Time unit: {temp_signal.xunit}") print(f"First timestamp: {temp_signal.get_x_as_datetime()[0]}") print(f"Last timestamp: {temp_signal.get_x_as_datetime()[-1]}") # Visualize the temperature signal view_curves( temp_signal, title="Temperature Monitoring Over Time", object_name="datetime_temperature", ) # %% # Creating datetime signals from string timestamps # ------------------------------------------------ # Often, datetime data comes as strings (e.g., from CSV files or logs). # Sigima can automatically parse common datetime string formats. # Pressure monitoring with minute-resolution string timestamps date_strings = [ "2025-10-07 10:00:00", "2025-10-07 10:05:00", "2025-10-07 10:10:00", "2025-10-07 10:15:00", "2025-10-07 10:20:00", "2025-10-07 10:25:00", "2025-10-07 10:30:00", ] # Simulate atmospheric pressure readings pressure = np.array([1013.25, 1013.20, 1013.15, 1013.10, 1013.18, 1013.22, 1013.25]) pressure_signal = create_signal("Atmospheric Pressure") pressure_signal.set_x_from_datetime(date_strings, unit="min", format_str="%H:%M:%S") pressure_signal.y = pressure pressure_signal.ylabel = "Pressure" pressure_signal.yunit = "hPa" print("\n✓ Pressure signal created from strings!") print(f"Number of readings: {len(pressure_signal.y)}") print(f"Pressure range: {pressure.min():.2f} - {pressure.max():.2f} hPa") # Visualize the pressure signal view_curves( pressure_signal, title="Atmospheric Pressure Readings", object_name="datetime_pressure", ) # %% # Using different time units # -------------------------- # Sigima supports various time units to match your data's natural resolution: # nanoseconds (ns), microseconds (us), milliseconds (ms), seconds (s), # minutes (min), and hours (h). print(f"\n✓ Supported time units: {', '.join(VALID_TIME_UNITS)}") print("\nConversion factors to seconds:") for unit, factor in TIME_UNIT_FACTORS.items(): print(f" 1 {unit:>3s} = {factor:>10.1e} seconds") # Create hourly temperature cycle (24 hours) hourly_base = datetime(2025, 10, 7, 0, 0, 0) hourly_times = [hourly_base + timedelta(hours=i) for i in range(24)] daily_temp = 15 + 8 * np.sin(2 * np.pi * (np.arange(24) - 6) / 24) hourly_signal = SignalObj() hourly_signal.set_x_from_datetime(hourly_times, unit="h", format_str="%H:%M") hourly_signal.y = daily_temp hourly_signal.title = "Daily Temperature Cycle" hourly_signal.ylabel = "Temperature" hourly_signal.yunit = "°C" print("\n✓ Hourly signal created!") print(f" Time unit: {hourly_signal.xunit}") print(f" X-axis spacing: {np.diff(hourly_signal.x)[0]:.1f} hours") print(f" Temperature range: {daily_temp.min():.1f}°C to {daily_temp.max():.1f}°C") # Visualize the daily cycle view_curves( hourly_signal, title="24-Hour Temperature Cycle", object_name="datetime_hourly", ) # %% # Comparing multiple datetime signals # ----------------------------------- # You can visualize multiple datetime signals together to compare trends. # Create three signals at different time scales minute_base = datetime(2025, 10, 7, 14, 0, 0) minute_times = [minute_base + timedelta(minutes=i) for i in range(60)] # Heart rate over 1 hour heart_rate = 70 + 10 * np.sin(2 * np.pi * np.arange(60) / 60) + 2 * np.random.randn(60) hr_signal = SignalObj() hr_signal.set_x_from_datetime(minute_times, unit="min") hr_signal.y = heart_rate hr_signal.title = "Heart Rate" hr_signal.ylabel = "Heart Rate" hr_signal.yunit = "bpm" # Steps per minute steps = 80 + 20 * np.sin(2 * np.pi * np.arange(60) / 30) + 5 * np.random.randn(60) steps = np.clip(steps, 0, None) # No negative steps steps_signal = SignalObj() steps_signal.set_x_from_datetime(minute_times, unit="min") steps_signal.y = steps steps_signal.title = "Steps Per Minute" steps_signal.ylabel = "Steps" steps_signal.yunit = "steps/min" print("\n✓ Created multiple signals for comparison!") print(f" Heart rate avg: {heart_rate.mean():.1f} bpm") print(f" Steps avg: {steps.mean():.1f} steps/min") # Visualize multiple signals together view_curves( [hr_signal, steps_signal], title="Exercise Monitoring - Multiple Signals", object_name="datetime_multi", ) # %% # CSV I/O with datetime preservation # ---------------------------------- # Sigima automatically preserves datetime information when writing to CSV, # storing timestamps as human-readable strings instead of opaque float values. # Write temperature signal to CSV (using temporary directory) temp_dir = tempfile.mkdtemp(prefix="sigima_") csv_file = Path(temp_dir) / "temp_data.csv" fmt = CSVSignalFormat() fmt.write(str(csv_file), temp_signal) print(f"\n✓ Saved datetime signal to CSV: {csv_file}") print(" CSV Preview (first 5 lines):") with open(csv_file, "r", encoding="utf-8") as f: for i, line in enumerate(f): if i < 5: print(f" {line.rstrip()}") else: break # Read it back and verify loaded_signals = fmt.read(str(csv_file)) loaded_signal = loaded_signals[0] # Verify datetime preservation dt_original = temp_signal.get_x_as_datetime() dt_loaded = loaded_signal.get_x_as_datetime() data_matches = np.allclose(loaded_signal.y, temp_signal.y) time_matches = np.all(dt_original == dt_loaded) print("\n✓ Loaded signal from CSV successfully!") print(f" Is datetime: {loaded_signal.is_x_datetime()}") print(f" Data preserved: {data_matches}") print(f" Timestamps preserved: {time_matches}") # %% # Summary # ------- # This example demonstrated the complete datetime signal workflow in Sigima: # # 1. **Creating datetime signals** from objects and strings # 2. **Multiple time units** (ns, us, ms, s, min, h) stored in `xunit` attribute # 3. **Visualization** with properly formatted datetime axes # 4. **CSV I/O** with automatic datetime preservation # # The time unit is stored in the signal's `xunit` attribute, making it easy # to access and consistent with other signal metadata. DateTime support makes # Sigima ideal for time-series analysis, sensor data processing, and any # application requiring human-readable temporal information. print("\n" + "=" * 70) print("✓ DateTime Signal Processing Example Completed Successfully!") print("=" * 70) Sigima-1.1.1/doc/examples/features/roi_grid.py000066400000000000000000000222211514013333200212660ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """ ROI Grid Generation =================== This example focuses on generating grids of rectangular ROIs for systematic analysis of regular patterns in images using Sigima's ROI grid feature. Using a real laser spot array image, we'll explore how to create, configure, and apply ROI grids for extracting individual spots. The example shows: * Loading a real-world laser spot array image * Extracting a sub-region for clearer visualization * Generating a grid of rectangular ROIs * Configuring grid parameters (size, translation, step spacing) * Understanding direction labels (row/column ordering) * Extracting individual spots using the generated ROIs * Visualizing the ROIs on the image This tutorial uses PlotPy for visualization, providing interactive plots that allow you to explore the ROI grid placement in detail. """ # %% # Importing necessary modules # --------------------------- # We'll start by importing all the required modules for image processing # and visualization. from copy import deepcopy from sigima import viz from sigima.io import read_image from sigima.objects import RectangularROI from sigima.proc.image.extraction import ( Direction, ROIGridParam, extract_roi, generate_image_grid_roi, ) from sigima.tests import helpers # %% # Loading a real laser spot array image # ------------------------------------- # We'll use a laser spot array image with a 6×6 grid of spots. # This is a realistic example where we need to analyze each spot individually. # Load the laser spot array test image filename = helpers.get_test_fnames("laser_spot_array.png", in_folder="image_formats")[0] full_image = read_image(filename) full_image.title = "Laser Spot Array (6×6)" print("✓ Laser spot array image loaded!") print(f"Image dimensions: {full_image.width} × {full_image.height} pixels") print(f"Data type: {full_image.data.dtype}") # %% # Extracting a 2×2 sub-region # --------------------------- # For clearer visualization of the ROI grid feature, we'll extract # a 2×2 sub-region from the center of the full 6×6 spot array. # Define a ROI to extract the central 2×2 spots # The spots are roughly evenly distributed, so we calculate the region cell_width = full_image.width / 6 cell_height = full_image.height / 6 # Extract spots from row 3-4 and column 3-4 (0-indexed: rows 2-3, cols 2-3) x0 = cell_width * 2.0 # Start between column 2 and 3 y0 = cell_height * 2.0 # Start between row 2 and 3 roi_width = cell_width * 2 # 2 columns roi_height = cell_height * 2 # 2 rows # Create ROI and extract the sub-region extraction_roi = RectangularROI([x0, y0, roi_width, roi_height], indices=False) laser_image = extract_roi(full_image, extraction_roi.to_param(full_image, 0)) laser_image.title = "2×2 Spot Sub-region" print("\n✓ Extracted 2×2 sub-region!") print( f"Sub-region dimensions: {laser_image.width:.0f} × {laser_image.height:.0f} pixels" ) # Display both images viz.view_images_side_by_side( [full_image, laser_image], ["Full 6×6 Array", "Extracted 2×2 Sub-region"], title="Extracting a Sub-region for Analysis", share_axes=False, ) # %% # Creating a basic grid of ROIs # ----------------------------- # Now we'll generate a 2×2 grid of ROIs to match the extracted spot array. # Each ROI will be centered on a spot for individual analysis. # Configure ROI grid parameters param = ROIGridParam() param.nx = param.ny = 2 # 2×2 grid to match the spots param.xsize = param.ysize = 75 # Each ROI covers 75% of the cell size param.xtranslation = param.ytranslation = 50 # Centered (50% = center) param.xstep = param.ystep = 100 # 100% = evenly distributed grid param.xdirection = param.ydirection = Direction.INCREASING param.base_name = "Spot" param.name_pattern = "{base}({r},{c})" # Generate the ROI grid (this doesn't modify the source image) roi_grid = generate_image_grid_roi(laser_image, param) # Assign ROIs to a copy of the image for visualization image_with_roi = laser_image.copy() image_with_roi.roi = roi_grid image_with_roi.title = "2×2 ROI Grid" print(f"\n✓ Generated {len(list(roi_grid))} rectangular ROIs!") print("ROI titles:", [r.title for r in list(roi_grid)]) # Display image with ROI overlay viz.view_images_side_by_side( [laser_image, image_with_roi], ["2×2 Spot Array", "With ROI Grid"], title="Basic ROI Grid (2×2, Centered)", ) # %% # Extracting individual spots # --------------------------- # Once the ROI grid is defined, we can extract individual spots # as separate images for further analysis. # Extract a few spots as individual images extracted_spots = [] for i, roi_item in enumerate(roi_grid): if i >= 4: # Extract first 4 spots for demonstration break roi_param = roi_item.to_param(laser_image, 0) spot_image = extract_roi(laser_image, roi_param) spot_image.title = roi_item.title extracted_spots.append(spot_image) print(f"\n✓ Extracted {len(extracted_spots)} individual spot images!") for spot in extracted_spots: print(f" - {spot.title}: {spot.width}×{spot.height} pixels") # Display extracted spots viz.view_images_side_by_side( extracted_spots, [spot.title for spot in extracted_spots], title="Extracted Individual Spots", share_axes=False, rows=2, ) # %% # Adjusting ROI size and position # ------------------------------- # The ROI size and translation parameters control how the ROIs are placed # within each grid cell. Let's explore different configurations. # Configuration 1: Larger ROIs (90% of cell size) param_large = deepcopy(param) param_large.xsize = param_large.ysize = 90 image_large = laser_image.copy() image_large.roi = generate_image_grid_roi(laser_image, param_large) image_large.title = "Large ROIs (90%)" # Configuration 2: Smaller ROIs (40% of cell size) param_small = deepcopy(param) param_small.xsize = param_small.ysize = 40 image_small = laser_image.copy() image_small.roi = generate_image_grid_roi(laser_image, param_small) image_small.title = "Small ROIs (40%)" # Configuration 3: Shifted position (translation offset) param_shifted = deepcopy(param) param_shifted.xtranslation = 60 # Shift right by 10% param_shifted.ytranslation = 40 # Shift up by 10% image_shifted = laser_image.copy() image_shifted.roi = generate_image_grid_roi(laser_image, param_shifted) image_shifted.title = "Shifted ROIs" print("\n✓ Generated ROI grids with different configurations!") print(" - Large ROIs: 90% of cell size") print(" - Small ROIs: 40% of cell size") print(" - Shifted ROIs: offset by 10% in X and Y") # Display the different configurations viz.view_images_side_by_side( [image_with_roi, image_large, image_small, image_shifted], ["Default (75%)", "Large (90%)", "Small (40%)", "Shifted (+10%)"], title="ROI Size and Position Variations", ) # %% # Understanding direction labels # ------------------------------ # The xdirection and ydirection parameters control how rows and columns # are numbered. This affects the ROI titles but not the geometry. # Increasing direction (default): row 1 at top, column 1 at left param_inc = deepcopy(param) param_inc.xdirection = param_inc.ydirection = Direction.INCREASING image_inc = laser_image.copy() image_inc.roi = generate_image_grid_roi(laser_image, param_inc) image_inc.title = "Increasing (R1 top, C1 left)" # Decreasing direction: row 1 at bottom, column 1 at right param_dec = deepcopy(param) param_dec.xdirection = param_dec.ydirection = Direction.DECREASING image_dec = laser_image.copy() image_dec.roi = generate_image_grid_roi(laser_image, param_dec) image_dec.title = "Decreasing (R1 bottom, C1 right)" # Show the first few ROI titles for comparison roi_inc = generate_image_grid_roi(laser_image, param_inc) roi_dec = generate_image_grid_roi(laser_image, param_dec) print("\n✓ Direction affects ROI labeling, not geometry!") print("Increasing direction (first 4 ROIs):", [r.title for r in list(roi_inc)[:4]]) print("Decreasing direction (first 4 ROIs):", [r.title for r in list(roi_dec)[:4]]) # Display direction variations viz.view_images_side_by_side( [image_inc, image_dec], ["Increasing Direction", "Decreasing Direction"], title="ROI Direction Labels", ) # %% # Summary and conclusions # ----------------------- # This tutorial demonstrated the key concepts of ROI grid generation # for systematic analysis of regular patterns in images using Sigima. print("\n" + "=" * 60) print("ROI GRID TUTORIAL SUMMARY") print("=" * 60) print("✓ Loaded real-world laser spot array image") print("✓ Generated grids of rectangular ROIs") print("✓ Configured grid parameters (size, translation, step spacing)") print("✓ Explored direction labels (row/column ordering)") print("✓ Extracted individual spots using generated ROIs") print("✓ Visualized ROIs overlaid on images") print("\nKey Takeaways:") print("• Grid dimensions (nx, ny) define the number of rows and columns") print("• ROI size (xsize, ysize) controls the coverage as percentage of cell size") print("• Translation (xtranslation, ytranslation) offsets position within cells") print("• Direction (xdirection, ydirection) controls row/column numbering order") print( "• ROI grids are ideal for analyzing arrays of spots, sensors, or regular patterns" ) Sigima-1.1.1/doc/examples/features/zero_padding.py000066400000000000000000000122141514013333200221360ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """ Zero Padding for FFT Enhancement ================================= This example demonstrates how to apply zero-padding to signals, a common technique used to improve FFT frequency resolution. It shows the proper usage of :class:`sigima.params.ZeroPadding1DParam`, including the important ``update_from_obj()`` call. Zero-padding adds zeros to a signal, effectively interpolating the frequency domain representation. This is particularly useful for: - Improving frequency resolution in FFT analysis - Preparing signals for convolution operations - Matching signal lengths for spectral comparisons """ # %% # Importing the required modules # ------------------------------ import numpy as np import sigima.params import sigima.proc.signal as sips from sigima import viz from sigima.objects import create_signal # %% # Create a test signal # -------------------- # We create a simple cosine signal with a specific frequency. # Signal parameters freq = 50.0 # Hz duration = 0.1 # seconds sample_rate = 1000 # Hz n_points = int(duration * sample_rate) # Create time array and signal t = np.linspace(0, duration, n_points, endpoint=False) y = np.cos(2 * np.pi * freq * t) signal = create_signal( title=f"Cosine {freq} Hz", x=t, y=y, units=("s", "V"), labels=("Time", "Amplitude") ) print(f"Original signal: {n_points} points") viz.view_curves(signal, title="Original Signal") # %% # Zero-padding with "next_pow2" strategy # -------------------------------------- # # The "next_pow2" strategy pads the signal to the next power of 2, which is # optimal for FFT computations. # # .. important:: # # When using strategies other than "custom", you **must call** # ``update_from_obj()`` to compute the number of padding points based on # the actual signal size. # Create the parameter with "next_pow2" strategy param = sigima.params.ZeroPadding1DParam.create(strategy="next_pow2") # At this point, param.n is still the default value (1) print(f"Before update_from_obj: n = {param.n}") # IMPORTANT: Update parameters from the signal to compute the actual 'n' param.update_from_obj(signal) # Now param.n has been computed based on the signal size print( f"After update_from_obj: n = {param.n} " f"(signal will be padded to {n_points + param.n} points)" ) # Apply zero-padding padded_signal = sips.zero_padding(signal, param) padded_size = padded_signal.y.size power_of_2 = 2 ** int(np.log2(padded_size)) print(f"Padded signal: {padded_size} points (power of 2: {power_of_2})") # %% # Compare original and padded signals # ----------------------------------- # The padded signal has zeros appended at the end. viz.view_curves([signal, padded_signal], title="Original vs Zero-Padded Signal") # %% # FFT comparison: improved frequency resolution # --------------------------------------------- # Zero-padding improves the apparent frequency resolution of the FFT by # interpolating between frequency bins. # Compute FFT of original signal fft_original = sips.fft(signal) fft_original.title = f"FFT Original ({fft_original.y.size} bins)" # Compute FFT of padded signal fft_padded = sips.fft(padded_signal) fft_padded.title = f"FFT Zero-Padded ({fft_padded.y.size} bins)" print(f"Original FFT: {fft_original.y.size} frequency bins") print(f"Padded FFT: {fft_padded.y.size} frequency bins") viz.view_curves([fft_original, fft_padded], title="FFT: Original vs Zero-Padded") # %% # Using different strategies # -------------------------- # The available strategies are: # # - ``"next_pow2"``: Pad to the next power of 2 (optimal for FFT) # - ``"double"``: Double the signal length # - ``"triple"``: Triple the signal length # - ``"custom"``: Specify the exact number of points to add for strategy in ["next_pow2", "double", "triple"]: param = sigima.params.ZeroPadding1DParam.create(strategy=strategy) param.update_from_obj(signal) print(f"Strategy '{strategy}': adds {param.n} points → total {n_points + param.n}") # %% # Using "custom" strategy # ----------------------- # With the "custom" strategy, you specify the exact number of points. # In this case, ``update_from_obj()`` is not strictly necessary (but harmless). param_custom = sigima.params.ZeroPadding1DParam.create(strategy="custom", n=500) print(f"Custom strategy: adds {param_custom.n} points") padded_custom = sips.zero_padding(signal, param_custom) print(f"Result: {padded_custom.y.size} points") # %% # Choosing padding location # ------------------------- # Zero-padding can be applied at different locations: # # - ``"append"``: Add zeros at the end (default) # - ``"prepend"``: Add zeros at the beginning # - ``"both"``: Split zeros between beginning and end from sigima.enums import PadLocation1D results = [] for location in PadLocation1D: param = sigima.params.ZeroPadding1DParam.create(strategy="double") param.location = location param.update_from_obj(signal) result = sips.zero_padding(signal, param) result.title = f"Padded ({location.value})" results.append(result) print(f"Location '{location.value}': x=[{result.x[0]:.4f}, {result.x[-1]:.4f}]") viz.view_curves(results, title="Padding Location Comparison") Sigima-1.1.1/doc/examples/getting_started/000077500000000000000000000000001514013333200204705ustar00rootroot00000000000000Sigima-1.1.1/doc/examples/getting_started/README.txt000066400000000000000000000000401514013333200221600ustar00rootroot00000000000000Getting Started --------------- Sigima-1.1.1/doc/examples/getting_started/image_creation.py000066400000000000000000000133641514013333200240170ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """ Creating Images =============== This example focuses on creating 2D image objects in Sigima. There are three primary methods to create images in Sigima: 1. **Synthetic data generation**: Using built-in parameter classes to create standard image types (Gaussian, ramp, random distributions, etc.) 2. **Loading from files**: Importing data from various file formats 3. **From NumPy arrays**: Creating objects directly from existing arrays Each method has its use cases, and Sigima provides a consistent interface for working with data regardless of its origin. For visualization, we use helper functions from the ``sigima.viz`` module. This allows us to focus on Sigima's functionality rather than visualization details. """ # %% # Importing necessary modules # --------------------------- # First of all, we need to import the required modules. import numpy as np import sigima from sigima import viz from sigima.tests import helpers # %% # Method 1: Creating images from synthetic parameters # ---------------------------------------------------- # # Similar to signals, Sigima can generate synthetic images using parameter classes. # # Available image types include: # # - Distributions: Normal (Gaussian noise), Uniform, Poisson # - Analytical functions: 2D Gaussian, 2D ramp (bilinear form) # - Blank images: Zeros # Create a 2D Gaussian image gaussian_param = sigima.create_image_parameters( sigima.ImageTypes.GAUSS, title="Synthetic 2D Gaussian", height=300, width=300, xlabel="X Position", ylabel="Y Position", zlabel="Intensity", xunit="µm", yunit="µm", zunit="counts", x0=0.0, # Center x position y0=0.0, # Center y position sigma=1.5, # Width a=1000.0, # Amplitude ) gaussian_img = sigima.create_image_from_param(gaussian_param) # Create a ramp image (gradient) ramp_param = sigima.create_image_parameters( sigima.ImageTypes.RAMP, title="Synthetic 2D Ramp", height=200, width=200, xlabel="X Position", ylabel="Y Position", zlabel="Value", xunit="mm", yunit="mm", zunit="a.u.", x0=-5.0, y0=-5.0, a=0.5, # X slope b=0.3, # Y slope ) ramp_img = sigima.create_image_from_param(ramp_param) print("\n✓ Synthetic images created") print(f" - {gaussian_img.title}: {gaussian_img.data.shape}") print(f" - {ramp_img.title}: {ramp_img.data.shape}") # Visualize synthetic images viz.view_images_side_by_side([gaussian_img, ramp_img], title="Synthetic Images") # %% # Method 2: Loading images from files # ------------------------------------ # # Sigima supports a wide range of image file formats, both common and scientific. # # Supported formats include: # # - Common formats: BMP, JPEG, PNG, TIFF, JPEG 2000 # - Scientific formats: DICOM, Andor SIF, Spiricon, Dürr NDT # - Data formats: NumPy (.npy), MATLAB (.mat), HDF5 (.h5img) # - Text formats: CSV, TXT, ASC (with coordinate support) # Load an image from a JPEG file filename = helpers.get_test_fnames("fiber.jpg")[0] img_jpeg = sigima.read_image(filename) img_jpeg.title = "Fiber Image (from JPEG)" # Load an image from a NumPy file filename = helpers.get_test_fnames("flower.npy")[0] img_npy = sigima.read_image(filename) img_npy.title = "Test Image (from NumPy)" print("\n✓ Images loaded from files") print(f" - {img_jpeg.title}: {img_jpeg.data.shape}") print(f" - {img_npy.title}: {img_npy.data.shape}") # Visualize images loaded from files viz.view_images_side_by_side([img_jpeg, img_npy], title="Images from Files") # %% # Method 3: Creating images from NumPy arrays # -------------------------------------------- # # Convert existing NumPy arrays into Sigima image objects to add metadata, # coordinate systems, and enable advanced processing. # Create a synthetic pattern: interference fringes size = 256 x = np.linspace(-10, 10, size) y = np.linspace(-10, 10, size) X, Y = np.meshgrid(x, y) # Interference pattern pattern = np.cos(2 * np.pi * X / 3) * np.cos(2 * np.pi * Y / 3) pattern = ((pattern + 1) / 2 * 255).astype(np.uint8) img_interf = sigima.create_image( title="Interference Pattern (from array)", data=pattern, units=("mm", "mm", "intensity"), labels=("X", "Y", "Signal"), ) # Create another image: radial gradient with noise radial = np.exp(-(X**2 + Y**2) / 20) rng = np.random.default_rng(123) radial = radial + rng.normal(0, 0.05, radial.shape) radial = np.clip(radial, 0, 1) img_radial = sigima.create_image( title="Radial Gradient (from array)", data=radial.astype(np.float32), units=("µm", "µm", "a.u."), labels=("X", "Y", "Amplitude"), ) print("\n✓ Images created from NumPy arrays") print(f" - {img_interf.title}: {img_interf.data.shape}") print(f" - {img_radial.title}: {img_radial.data.shape}") # Visualize images created from NumPy arrays viz.view_images_side_by_side([img_interf, img_radial], title="Images from Arrays") # %% # Summary # ------- # # This example demonstrated the three main ways to create images in Sigima: # # 1. **Synthetic generation**: Fast creation of standard mathematical functions and # distributions using parameter classes. Perfect for testing and simulation. # # 2. **File loading**: Read data from various scientific and common file formats, # with automatic format detection and metadata extraction. Essential for working # with experimental data. # # 3. **NumPy array conversion**: Wrap existing array data with Sigima's rich metadata # and processing capabilities. Ideal for custom workflows and integration with # other Python libraries. # # All three methods produce equivalent Sigima objects that can be processed, analyzed, # and visualized using the same set of tools and functions. Choose the method that # best fits your workflow and data source. Sigima-1.1.1/doc/examples/getting_started/signal_creation.py000066400000000000000000000167441514013333200242170ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """ Creating Signals ================ This example focuses on creating 1D signal objects in Sigima. There are three primary methods to create signals in Sigima: 1. **Synthetic data generation**: Using built-in parameter classes to create standard signal types (Gaussian, sine waves, random distributions, etc.) 2. **Loading from files**: Importing data from various file formats 3. **From NumPy arrays**: Creating objects directly from existing arrays Each method has its use cases, and Sigima provides a consistent interface for working with data regardless of its origin. For visualization, we use helper functions from the ``sigima.viz`` module. This allows us to focus on Sigima's functionality rather than visualization details. """ # %% # Importing necessary modules # --------------------------- # First of all, we need to import the required modules. from pprint import pprint # For pretty-printing metadata import numpy as np import sigima from sigima import viz from sigima.tests import helpers # %% # Method 1: Creating signals from synthetic parameters # ---------------------------------------------------- # # Sigima provides built-in generators for common signal types. This is the most # convenient method when you need standard mathematical functions or random # distributions. # # Available signal types include: # # - Mathematical functions: Gaussian, Lorentzian, Sinc, Sine, Cosine, etc. # - Random distributions: Normal, Uniform, Poisson # - Standard waveforms: Square, Sawtooth, Triangle # - Special functions: Planck (blackbody), Linear chirp, Step, Exponential # Let's consider a spectroscopy context, where we often deal with Gaussian and # Lorentzian peaks representing absorption and emission lines. # # Create a Gaussian signal: this represents an absorption peak in spectroscopy. gaussian_param = sigima.create_signal_parameters( sigima.SignalTypes.GAUSS, # Type of signal to create title="Absorption Peak", size=500, # Number of points xlabel="Wavelength", ylabel="Absorbance", xunit="nm", yunit="a.u.", xmin=400.0, # Minimum x value (wavelength) xmax=700.0, # Maximum x value a=2.5, # Amplitude mu=550.0, # Center wavelength (green light) sigma=25.0, # Peak width ) signal_synthetic = sigima.create_signal_from_param(gaussian_param) # Create a Lorentzian signal representing a different spectral line: this represents an # emission line in atomic emission spectroscopy. lorentzian_param = sigima.create_signal_parameters( sigima.SignalTypes.LORENTZ, title="Emission Line", size=500, xlabel="Wavelength", ylabel="Intensity", xunit="nm", yunit="a.u.", xmin=400.0, xmax=700.0, a=1.8, # Amplitude mu=480.0, # Center wavelength (blue light) sigma=15.0, # Peak width ) signal_lorentzian = sigima.create_signal_from_param(lorentzian_param) print("✓ Synthetic signals created") print(f" - {signal_synthetic.title}: {signal_synthetic.y.shape[0]} points") print(f" - {signal_lorentzian.title}: {signal_lorentzian.y.shape[0]} points") # Visualize synthetic signals viz.view_curves( [signal_synthetic, signal_lorentzian], title="Method 1: Synthetic Signals" ) # %% # Method 2: Loading signals from files # ------------------------------------ # # Sigima can read signals from various file formats, automatically detecting the # format and extracting metadata when available. # # Supported formats include: # # - Text files: CSV, TXT (with automatic delimiter detection) # - Scientific formats: HDF5 (.h5sig), MAT-Files (.mat), NumPy (.npy) # - Specialized: MCA spectrum files (.mca), FT-Lab (.sig) # Load a real spectrum from a text file # This is a paracetamol (acetaminophen) UV-Vis absorption spectrum filename = helpers.get_test_fnames("paracetamol.txt")[0] signal_from_file = sigima.read_signal(filename) # Visualize signal loaded from text file viz.view_curves(signal_from_file, title="Signal from Text File") # Load another signal from a CSV file with multiple curves csv_file = helpers.get_test_fnames("oscilloscope.csv")[0] signals_from_csv = sigima.read_signals(csv_file) # CSV files contain multiple signals; we'll show one signal_from_csv = signals_from_csv[1] # Visualize signal loaded from csv file viz.view_curves(signal_from_csv, title="Signal from CSV File") print("\n✓ Signals loaded from files") print(f" - {signal_from_file.title}: {signal_from_file.y.shape[0]} points") print(f" - {signal_from_csv.title}: {signal_from_csv.y.shape[0]} points") # %% # It is interesting to remark here that when importing data from files, # Sigima automatically extracts and preserves metadata when possible. # This includes: # # - **Axis labels and units**: Column headers from CSV files, variable names from # MAT-Files, etc. # - **Acquisition parameters**: DICOM headers, instrument settings, timestamps # - **Physical coordinates**: Pixel spacing, origin coordinates when stored in the file # # The extracted metadata is seamlessly integrated into the signal or image object, # making it available for processing, analysis, and visualization without manual # configuration. pprint(signal_from_csv.metadata) # %% # Method 3: Creating signals from NumPy arrays # --------------------------------------------- # # When you already have data in NumPy arrays (from calculations, other libraries, # or custom data sources), you can wrap them in Sigima signal objects to benefit # from metadata handling and processing functions. # Create custom data: a damped oscillation (e.g., RLC circuit response) t = np.linspace(0, 5, 1000) damping = np.exp(-0.5 * t) oscillation = np.sin(2 * np.pi * 3 * t) y_damped = damping * oscillation signal_from_array = sigima.create_signal( title="Damped Oscillation (from array)", x=t, y=y_damped, units=("s", "V"), labels=("Time", "Voltage"), ) # Create the envelope signal: upper and lower bounds of the oscillation # This is useful for analyzing the decay rate and quality factor y_envelope_upper = damping y_envelope_lower = -damping # We'll create a signal showing the upper envelope signal_envelope = sigima.create_signal( title="Decay Envelope (from array)", x=t, y=y_envelope_upper, units=("s", "V"), labels=("Time", "Amplitude"), ) print("\n✓ Signals created from NumPy arrays") print(f" - {signal_from_array.title}: {signal_from_array.y.shape[0]} points") print(f" - {signal_envelope.title}: {signal_envelope.y.shape[0]} points") # Visualize signals created from NumPy arrays viz.view_curves( [signal_from_array, signal_envelope], title="Method 3: Signals from NumPy Arrays", object_name="signals_from_arrays", ) # %% # Summary # ------- # # This example demonstrated the three main ways to create signals in Sigima: # # 1. **Synthetic generation**: Fast creation of standard mathematical functions and # distributions using parameter classes. Perfect for testing and simulation. # # 2. **File loading**: Read data from various scientific and common file formats, # with automatic format detection and metadata extraction. Essential for working # with experimental data. # # 3. **NumPy array conversion**: Wrap existing array data with Sigima's rich metadata # and processing capabilities. Ideal for custom workflows and integration with # other Python libraries. # # All three methods produce equivalent Sigima objects that can be processed, analyzed, # and visualized using the same set of tools and functions. Choose the method that # best fits your workflow and data source. Sigima-1.1.1/doc/examples/use_cases/000077500000000000000000000000001514013333200172535ustar00rootroot00000000000000Sigima-1.1.1/doc/examples/use_cases/README.txt000066400000000000000000000000241514013333200207450ustar00rootroot00000000000000Use Cases --------- Sigima-1.1.1/doc/examples/use_cases/blob_detection.py000066400000000000000000000152161514013333200226060ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """ Blob Detection ============== This example demonstrates blob detection techniques available in Sigima for analyzing circular or blob-like features in images. It shows how to generate apply preprocessing filters and detect blobs using OpenCV-based algorithms with fine-tuned parameters for optimal results. The script demonstrates image processing workflows commonly used in microscopy, particle analysis, and feature detection applications. """ # %% # Importing necessary modules # -------------------------------- # We start by importing all the required modules for image processing # and visualization. To run this example, ensure you have all the required # dependencies installed. import numpy as np import skimage.draw import sigima.objects import sigima.proc.image from sigima import viz # %% # Generate synthetic test image with known blobs # ------------------------------------------------ # We create a synthetic image with a noisy background and several # circular blobs of varying sizes and intensities. This allows us to # validate the blob detection algorithms effectively. # To perform this task, we use a function: the detailes of this is out of the scope # of this tutorial: once you have learned how to use Sigima, you will be able to # use the library on your own data. def generate_test_image() -> None: """Generate test image with randomly placed blobs.""" rng = np.random.default_rng(0) arr = rng.normal(10000, 1000, (2048, 2048)) for _ in range(10): row = rng.integers(0, arr.shape[0]) col = rng.integers(0, arr.shape[1]) rr, cc = skimage.draw.disk((row, col), 40, shape=arr.shape) arr[rr, cc] -= rng.integers(5000, 6000) icenter = arr.shape[0] // 2 rr, cc = skimage.draw.disk((icenter, icenter), 200, shape=arr.shape) arr[rr, cc] -= rng.integers(5000, 8000) data = np.clip(arr, 0, 65535).astype(np.uint16) # Create a new image object image = sigima.objects.create_image("Test image", data, units=("mm", "mm", "lsb")) return image original_image = generate_test_image() print("✓ Test image created successfully!") # %% # Visualize the original image # -------------------------------- # We visualize the original synthetic image to understand its characteristics # before applying any processing or blob detection. This can be done with your preferred # image viewer (i.e. plotpy, matplotlib, ...). # The preference of Sigima developers is on plotpy, a library developed # with performance in mind. # # We wrapped a simple function to do perform visualizations tasks required for this and # other tutorials, # to help reducing the impact of GUI code in documentation and let you concentrate in # the analysis viz.view_images([original_image], title="Original Test Image with Synthetic Blobs") # %% # Image preprocessing - Binning # ----------------------------------------- # Looking to our image, we can see that the blobs we look for are large respect to # the pixel size. A binning process can help to reduce the importance of the noise. binning_factor = 2 binned_image = sigima.proc.image.binning(original_image, binning_factor) print(f"\n✓ Binning applied with factor {binning_factor}") print(f"Original size: {original_image.data.shape}") print(f"Binned size: {binned_image.data.shape}") print("Binning reduces computational load and can improve blob detection") # Compare original and binned images viz.view_images_side_by_side( [original_image, binned_image], titles=["Original Image", "Binned Image (2x2)"], title="Image Binning Comparison", ) # %% # Additional preprocessing - Moving median filter # ------------------------------------------------- # The result of the binning is good, but we can imagine to not be happy with that. # A different approach we can take is to apply a moving median filter, to reduce the # importance of the spikes. We do it with a window of 5, of curse in practice different # window sizes can be tested to find the good compromise between noise reduction and # resolution. Lets see how to do that. filter_size = 5 filtered_image = sigima.proc.image.moving_median(binned_image, n=filter_size) print(f"\n✓ Moving median filter applied (window size: {filter_size})") # Show progression of preprocessing steps viz.view_images_side_by_side( [original_image, binned_image, filtered_image], titles=["Original", "Binned", "Median Filtered"], title="Image Preprocessing Pipeline", ) # %% # Configure blob detection parameters # ----------------------------------------- # We are happy with the filtered image, we can now proceed to the blob detection. # First of all we need to configure the parameters of the detection algorithm: this # is very important to get good results. In this example, you find an overview of the # parameters that can be tuned. # # Create blob detection parameter object: blob_param = sigima.proc.image.BlobOpenCVParam() # %% # Threshold parameters for blob detection: blob_param.min_threshold = 10 blob_param.max_threshold = 200 # %% # Minimum repeatability (how many times a blob center is detected): blob_param.min_repeatability = 2 # %% # Color filtering (not used for grayscale): blob_param.filter_by_color = False # %% # Area filtering to select appropriate blob sizes: blob_param.filter_by_area = True blob_param.min_area = 600.0 # Minimum area in pixels blob_param.max_area = 6000.0 # Maximum area in pixels # %% # Circularity filtering to prefer round objects: blob_param.filter_by_circularity = True blob_param.min_circularity = 0.8 # 0 = not circular, 1 = perfect circle blob_param.max_circularity = 1.0 # %% # Disable inertia and convexity filtering for this example: blob_param.filter_by_inertia = False blob_param.filter_by_convexity = False # %% # We finally print configured parameters: print("\n✓ Blob detection parameters configured:" + "\n") print(blob_param) # %% # Perform blob detection # ----------------------------------------- # We can now perform the blob detection on the preprocessed image using the # configured parameters. # Detect blobs in the preprocessed image blobs = sigima.proc.image.blob_opencv(filtered_image, blob_param) print("\n✓ Blob detection completed!") print(f" Number of blobs detected: {len(blobs.coords) if blobs else 0}") viz.view_images( [filtered_image], title="Filtered Image with Blob Detection", results=blobs, colormap="gray", ) # %% # We print the detected blobs and their properties: if blobs and len(blobs.coords) > 0: blobs_df = blobs.to_dataframe() print("\nDetected blobs data frame:") print(blobs_df) else: print("No blobs detected. Consider adjusting detection parameters.") Sigima-1.1.1/doc/examples/use_cases/fabry_perot.py000066400000000000000000000153441514013333200221500ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """ Fabry-Perot Interference Pattern ================================ This example demonstrates image processing techniques for analyzing Fabry-Perot interference patterns. It shows how to load experimental images, define regions of interest, detect circular contours, and extract intensity profiles for quantitative analysis of interference fringes. Usage: python fabry_perot_example.py The script demonstrates optical analysis workflows commonly used in interferometry, optical metrology, and precision measurements. """ # %% # Importing necessary modules # -------------------------------- # We start by importing all the required modules for image processing # and visualization. To run this example, ensure you have all the required # dependencies installed. import sigima.enums import sigima.objects import sigima.proc.image from sigima import viz from sigima.tests.data import get_test_image # %% # Load Fabry-Perot test images # -------------------------------- # We load two sample image of Fabry-Perot interference patterns. # These imags is included in the Sigima test data. We will analyze the # interference fringes present in these images. # Load the first Fabry-Perot test image img1 = get_test_image("fabry-perot1.jpg") print("✓ Successfully loaded fabry-perot1.jpg") print(f"Image dimensions: {img1.data.shape}") print(f"Data type: {img1.data.dtype}") print(f"Intensity range: {img1.data.min()} - {img1.data.max()}") # Visualize the original interference pattern viz.view_images(img1, title="Fabry-Perot Interference Pattern #1") # %% # Define circular ROI for fringe analysis # ------------------------------------------- # We define a circular region of interest (ROI) centered on the image # to focus our analysis on the central interference fringes. # Calculate image center center_x, center_y = 601, 559 roi_radius = 460 # Radius to capture the first few interference rings print(f"\n✓ Image center: ({center_x}, {center_y})") print(f"ROI radius: {roi_radius} pixels") print("This ROI focuses analysis on the central interference pattern") # Create circular ROI coordinates: roi_coords = [center_x, center_y, roi_radius] # Apply circular ROI to the image img1.roi = sigima.objects.create_image_roi("circle", roi_coords, indices=True) print("✓ Circular ROI applied to image") # Visualize image with ROI viz.view_images(img1, title="Fabry-Perot with Circular ROI") # %% # Configure contour detection for circular fringes # --------------------------------------------------- # We can now detect circular contours in the defined ROI. This will help us identify # the interference rings. To perform this, the first step is to set up the contour # detection parameter. # Set up contour shape detection parameter for circles contour_param = sigima.proc.image.ContourShapeParam() contour_param.shape = sigima.enums.ContourShape.CIRCLE contour_param.threshold = 0.5 # Threshold for fringe detection print("\n✓ Contour detection configured:") print(f"Shape: {contour_param.shape}") print(f"Threshold: {contour_param.threshold}") print("This will detect circular interference fringes") # %% # We can now perform the contour detection on the image using the # configured parameters. contour_results = sigima.proc.image.contour_shape(img1, contour_param) print("\n✓ Contour detection completed for first image") # %% # We can now print the detected circular contours and their properties print(f"Number of circular contours detected: {len(contour_results.coords)}") contour_df = contour_results.to_dataframe() print("\nDetected contours data frame:") print(contour_df) # %% # Extract horizontal intensity profile # ---------------------------------------- # We can extract an intensity profile along a horizontal line through the center # of the image. This profile will show the intensity variations across the # interference fringes. As before, we need to set up the line profile extraction # parameter. # Configure line profile extraction profile_param = sigima.proc.image.LineProfileParam() profile_param.direction = "horizontal" profile_param.row = center_y # Extract profile through image center print("\n✓ Horizontal profile configured:") print(f"Direction: {profile_param.direction}") print(f"Row: {profile_param.row} (image center)") # Extract intensity profile profile_signal1 = sigima.proc.image.line_profile(img1, profile_param) print(f"✓ Profile extracted: {len(profile_signal1.y)} data points") print(f"Intensity range: {profile_signal1.y.min():.1f} - {profile_signal1.y.max():.1f}") # Visualize the intensity profile viz.view_curves( [profile_signal1], title="Horizontal Intensity Profile - Image 1", xlabel="Position (pixels)", ylabel="Intensity", ) # %% # Load the second Fabry-Perot image # ---------------------------------------- # We want now to load the Analyze second Fabry-Perot image try: # Load second test image img2 = get_test_image("fabry-perot2.jpg") print("\n✓ Successfully loaded fabry-perot2.jpg") print(f"Image dimensions: {img2.data.shape}") # Copy ROI settings from first image img2.metadata = img1.metadata # This includes the ROI information # Visualize second image viz.view_images([img2], title="Fabry-Perot Interference Pattern #2") except Exception as exc: raise RuntimeError("Failed to load second Fabry-Perot test image.") from exc # %% # Contour detection on second image # ---------------------------------------- # To perform the contour detection on the second image, we can # reuse the same contour detection parameters defined earlier. # This technique, applied to multiple images, allow to perform the same analysis on # each of them and make comparisons easier. # Apply the same contour detection to the second image contour_results2 = sigima.proc.image.contour_shape(img2, contour_param) print("✓ Contour detection completed for second image") contour_df2 = contour_results2.to_dataframe() print("\nDetected contours data frame (Image 2):") print(contour_df2) # %% # Extract profile from second image and compare both profiles # ---------------------------------------------------------------- # We can extract the horizontal intensity profile from the second image # using the same profile extraction parameters defined earlier. # Extract horizontal profile from second image profile_signal2 = sigima.proc.image.line_profile(img2, profile_param) print(f"\n✓ Profile extracted from second image: {len(profile_signal2.y)} points") print(f"Intensity range: {profile_signal2.y.min():.1f} - {profile_signal2.y.max():.1f}") # Compare profiles from both images viz.view_curves( [profile_signal1, profile_signal2], title="Intensity Profile Comparison", xlabel="Position (pixels)", ylabel="Intensity", ) Sigima-1.1.1/doc/examples/use_cases/laser_beam.py000066400000000000000000000252271514013333200217270ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """ Laser Beam Size Measurement Example =================================== This example demonstrates comprehensive laser beam analysis techniques following the laser beam tutorial workflow. It shows how to load multiple laser beam images, analyze background noise with histograms, apply proper clipping, detect beam centroids, extract line and radial profiles, compute FWHM measurements, and track beam size evolution along the propagation axis. The script demonstrates advanced optical beam characterization workflows commonly used in laser physics, beam quality assessment, and optical system design. """ # %% # Importing necessary modules # -------------------------------- # We start by importing all the required modules for image processing # and visualization. To run this example, ensure you have all the required # dependencies installed. import numpy as np import sigima.io import sigima.objects import sigima.params import sigima.proc.image import sigima.proc.signal from sigima import viz from sigima.tests import helpers # %% # Load all laser beam images # ------------------------------------------------ # We load a series of laser beam images taken at different positions along # the propagation axis (z-axis). The images are contained in the folder laser_beam and # named following the pattern TEM00_z_*.jpg, where * is the z position in arbitrary # units. def load_laser_beam_images(): """Load all laser beam test images from the test data directory. Returns: List of image objects loaded from TEM00_z_*.jpg files """ # Get all TEM00 laser beam image files image_files = helpers.get_test_fnames("laser_beam/TEM00_z_*.jpg") # Sort files by z-position (extract number from filename) image_files.sort(key=lambda f: int(f.split("_z_")[1].split(".")[0])) # Load images images = [] for filepath in image_files: img = sigima.io.read_image(filepath) # Extract z position from filename for proper naming z_pos = filepath.split("_z_")[1].split(".")[0] img.title = f"TEM00_z_{z_pos}" images.append(img) return images images = load_laser_beam_images() print(f"✓ Loaded {len(images)} laser beam images") print("Image details:") for i, img in enumerate(images): intensity_range = f"{img.data.min()}-{img.data.max()}" print(f" {i + 1}. {img.title}: {img.data.shape}, range {intensity_range}") # %% # Visualize the first few images print("\n✓ Visualizing sample images...") viz.view_images_side_by_side(images[:3], title="Sample Laser Beam Images") # %% # Background noise analysis with histogram # ------------------------------------------------ # To analyze the background noise characteristics of the laser beam images, # we create a histogram of pixel values from the first image. This helps us # identify the noise floor and determine an appropriate clipping threshold. print("\n--- Background Noise Analysis ---") hist_param = sigima.params.HistogramParam() hist_param.bins = 100 hist_param.range = (0, images[0].data.max()) hist = sigima.proc.image.histogram(images[0], hist_param) hist.title = "Pixel value histogram of image 1" print(f"✓ Generated histogram with {hist_param.bins} bins") print(f"Histogram range: {hist_param.range[0]} - {hist_param.range[1]}") print("The histogram shows background noise distribution") # Visualize histogram viz.view_curves([hist], title="Pixel Value Histogram - Background Analysis") # %% # Based on the histogram analysis, we determine a clipping threshold around 30-35 LSB to # effectively remove background noise from all images. # %% # Background noise removal via clipping # ------------------------------------------------ # We set the threshold to 35 and we apply this clipping to each image in the dataset. background_threshold = 35 print(f"Will use clipping threshold of {background_threshold} LSB") # %% # In order to perform the clipping, we create a ClipParam object # and set the minimum value to the background threshold. We then apply # the clipping to each image in the dataset. print("\n--- Applying Background Clipping ---") clip_param = sigima.params.ClipParam() clip_param.lower = background_threshold # Remove background noise below 35 LSB clipped_images = [] for img in images: clipped_img = sigima.proc.image.clip(img, clip_param) clipped_img.title = f"{img.title}_clipped" clipped_images.append(clipped_img) print(f"✓ Applied clipping of {clip_param.lower} LSB to all {len(images)} images") print("Background noise below threshold has been removed") # %% # We can now visualize some clipped images: viz.view_images_side_by_side( images[:3] + clipped_images[:3], rows=2, title="Original and Clipped Images (First 3)", ) # %% # Compute centroids for beam center detection # ------------------------------------------------ # Next, we compute the centroid of each clipped image to determine the beam center. This # is important for accurate profile extraction and FWHM measurements. print("\n--- Computing Beam Centroids ---") centroids = [] for img in clipped_images: centroid_result = sigima.proc.image.centroid(img) centroids.append(centroid_result.value) # (x, y) print(f" ✓ {img.title}: centroid at {centroid_result.value}") print(f"\n✓ Successfully detected {len(centroids)}/{len(images)} centroids") # %% # Extract line profiles through beam centers # ------------------------------------------------ # We extract horizontal line profiles through the detected centroids of each clipped # image. This provides insight into the beam intensity distribution along a horizontal # cross-section. print("\n--- Extracting Line Profiles ---") line_profiles = [] for i, (img, centroid_coords) in enumerate(zip(clipped_images, centroids)): # Create line profile parameters for horizontal line through centroid line_param = sigima.proc.image.LineProfileParam() line_param.direction = "horizontal" line_param.row = int(centroid_coords[1]) # Use centroid y-coordinate as row # Extract line profile profile = sigima.proc.image.line_profile(img, line_param) profile.title = f"Line_profile_{img.title}" line_profiles.append(profile) print(f" ✓ Extracted line profile for {img.title} at row {line_param.row}") print(f"\n✓ Generated {len(line_profiles)} line profiles") # Visualize some line profiles viz.view_curves(line_profiles[:3], title="Horizontal Line Profiles (First 3 Images)") # %% # Extract radial profiles around beam centers # ------------------------------------------------ # We extract radial profiles centered on the detected centroids of each clipped image. # This provides a circular intensity distribution useful for FWHM measurements. print("\n--- Extracting Radial Profiles ---") radial_profiles = [] for img in clipped_images: # Create radial profile parameters using automatic centroid detection radial_param = sigima.proc.image.RadialProfileParam() radial_param.center = "centroid" # Use automatic centroid detection # Extract radial profile profile = sigima.proc.image.radial_profile(img, radial_param) profile.title = f"Radial_profile_{img.title}" radial_profiles.append(profile) print(f" ✓ Extracted radial profile for {img.title}") print(f"\n✓ Generated {len(radial_profiles)} radial profiles") # %% # We can now visualize some radial profiles viz.view_curves(radial_profiles[:3], title="Radial Profiles (First 3 Images)") # %% # Compute FWHM for radial profiles # ------------------------------------------------ # We compute the Full Width at Half Maximum (FWHM) for each radial profile to # quantify the beam size. The FWHM is a standard metric for beam width. print("\n--- Computing FWHM Measurements ---") fwhm_vals = [] fwhm_param = sigima.params.FWHMParam() fwhm_param.method = "zero-crossing" # Standard FWHM method for profile in radial_profiles: fwhm_result = sigima.proc.signal.fwhm(profile, fwhm_param) fwhm_vals.append(fwhm_result.value) print(f" ✓ {profile.title}: FWHM = {fwhm_result.value:.2f} pixels") # %% # That's done, we can now print some FWHM statistics to check our results: print("\n✓ FWHM Statistics:") print(f" Valid measurements: {len(fwhm_vals)}/{len(fwhm_vals)}") print(f" Beam size range: {min(fwhm_vals):.2f} - {max(fwhm_vals):.2f} pixels") print(f" Average beam size: {np.mean(fwhm_vals):.2f} ± {np.std(fwhm_vals):.2f} pixels") # %% # Everything seems fine, we can now analyze the beam size evolution along the z-axis. # %% # Analyze beam size evolution # ------------------------------------------------ # Having computed the FWHM for each radial profile, we can now analyze how the # beam size evolves along the propagation axis (z-axis). This is useful to extract some # meaningful information from all the numbers we have obtained. We create a signal # representing the beam size evolution and visualize it. print("\n--- Beam Size Evolution Analysis ---") # Create a signal showing beam size evolution along z-axis z_positions = list(range(len(fwhm_vals))) beam_evolution = sigima.objects.create_signal( "Beam size evolution", np.array(z_positions), np.array(fwhm_vals), units=("image_index", "pixels"), ) print(f"✓ Created beam evolution signal with {len(z_positions)} data points") # Visualize beam size evolution viz.view_curves( [beam_evolution], title="Beam Size Evolution vs Z-Position (uncalibrated)" ) # %% # The beam evolution signal currently uses image index as the x-axis, and even if we can # see the trend, it is not very informative. It would be way better to have the x-axis # in mm. # %% # Apply z-axis calibration # ------------------------------------------------ # We apply a linear calibration to the x-axis of the beam evolution signal to convert # image index to physical distance in mm. In Sigima there is the possibility to perform # a linear axis calibration. We use the formula x' = 5*x + 15, where x is # the image index and x' is the calibrated distance in mm. print("\n--- Applying Z-Axis Calibration ---") # Calibrate x-axis using the formula: x' = 5*x + 15 (convert to mm) calib_param = sigima.proc.signal.XYCalibrateParam() calib_param.axis = "x" calib_param.a = 5.0 # Scale factor calib_param.b = 15.0 # Offset beam_evolution_calibrated = sigima.proc.signal.calibration(beam_evolution, calib_param) beam_evolution_calibrated.title = f"{beam_evolution.title} (z calibrated)" print(f"✓ Applied calibration: z' = {calib_param.a}*z + {calib_param.b}") print("Z-axis now represents physical distance in mm") # Visualize calibrated beam evolution viz.view_curves( [beam_evolution_calibrated], title="Beam Size Evolution vs Z-Position (calibrated)", xlabel="Z Position (mm)", ylabel="Beam Size (pixels)", ) Sigima-1.1.1/doc/examples/use_cases/spectrum_analysis.py000066400000000000000000000242721514013333200234010ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """ Spectrum Analysis ================= This example demonstrates advanced signal processing for spectroscopy analysis using a paracetamol spectrum. It shows how to apply noise reduction, region of interest selection, peak fitting, and detrending techniques available in Sigima. Each step builds upon the previous one to create a comprehensive analysis workflow. Usage: python paracetamol_example.py The script demonstrates spectroscopy data processing workflows commonly used in analytical chemistry and materials science applications. """ # %% Importing necessary modules import numpy as np import sigima.objects import sigima.proc.signal from sigima import viz from sigima.tests.data import create_paracetamol_signal from sigima.tools.signal import fitting, peakdetection # Constants XLABEL_ANGLE = "Angle" YLABEL_INTENSITY = "Intensity" # %% # Load test signal and initial visualization # ----------------------------------------------------------- # We load a sample paracetamol spectrum included in the Sigima test data. # This spectrum contains characteristic absorption peaks that we will # analyze using various signal processing techniques. # Load the paracetamol signal from test data sig = create_paracetamol_signal() x_orig, y_orig = sig.xydata print("✓ Paracetamol spectrum loaded successfully!") print(f"Signal contains {len(x_orig)} data points") print(f"Energy range: {x_orig.min():.1f} to {x_orig.max():.1f} eV") print(f"Intensity range: {y_orig.min():.1f} to {y_orig.max():.1f}") # Visualize the original spectrum viz.view_curves(sig, title="Paracetamol Spectrum - Original") # %% # Apply Wiener filter for noise reduction # -------------------------------------------- # The signal is quite clean. Anyway, to illustrate the filtering capabilities # of Sigima, we apply a Wiener filter to reduce any residual noise while # preserving the spectral features. sig_filt = sigima.proc.signal.wiener(sig) print("\n✓ Wiener filter applied!") print("The Wiener filter provides optimal noise reduction for signals") print("with known statistical properties.") # Compare original and filtered signals viz.view_curves( [sig, sig_filt], title="Paracetamol Spectrum - Original vs Wiener Filtered" ) # %% # Region of Interest (ROI) selection # ----------------------------------------------------------- # We fistly focus our analysis on one of the peaks of interest. To to that, # we define a region of interest (ROI) around the feature we want to analyze. # Define ROI around the peak roi_bounds = [35.5, 41.3] # Energy range in eV sig_filt.roi = sigima.objects.create_signal_roi(roi_bounds) print(f"\n✓ ROI defined from {roi_bounds[0]} to {roi_bounds[1]} eV") print("This focuses analysis on the primary absorption feature") # Visualize the signal with ROI viz.view_curves(sig_filt, title="Paracetamol Spectrum - Filtered with ROI") # %% # Gaussian fit on the peak # ----------------------------- # We can now fit the peak within the selected ROI using a # Gaussian model. This provides quantitative parameters such as peak position, # amplitude, and width. # Perform Gaussian fit on the ROI-selected data fit = sigima.proc.signal.gaussian_fit(sig_filt) print("\n✓ Gaussian fit completed!") print("This characterizes the main absorption peak with parameters:") print("- Peak position (energy)") print("- Peak amplitude (intensity)") print("- Peak width (FWHM)") # Visualize the signal with Gaussian fit viz.view_curves([sig_filt, fit], title="Paracetamol Spectrum - ROI with Gaussian Fit") # %% # Linear detrending # ----------------------------------------------------------- # After fitting the main peak, we may want to remove any baseline drift # present in the entire spectrum. # # The detrending function of Sigima performs a linear fit on the whole signal, # including the peaks. In our signal peaks take a large part of the signal itself, # witch is enough for signals where the peak are symmetrically distributed around the # center, with more or less the same amplitude. This is not the case here, and we cannot # expect this function to work well. It is however an interesting example to illustrate # how Sigima functions can be combined to perform a more advanced analysis. # %% # In order to visualize the limitation cited above, we apply the detrending # function directly on the filtered signal. It's important to remembre that we setted # a ROI on the signal to focus the analysis on the main peak. We need to remove # this ROI constraint to perform the detrending on the full signal. # Remove ROI constraint for full signal detrending sig_filt.roi = None # Apply linear detrending to remove baseline drift detrended_signal = sigima.proc.signal.detrending(sig_filt, method="linear") print("\n✓ Linear detrending applied!") # Compare filtered and detrended signals viz.view_curves( [sig_filt, detrended_signal], title="Paracetamol Spectrum - Filtered vs Detrended" ) # %% # The comparison shows, as expected, that the detrending function does not work well on # this signal. # This, as explained before, is due to the alogirithm used, which performs a linear fit # on the whole signal, including the peaks. This effect is clearly visible on the plot: # the peaks on the left, that are higher than the ones on the right, starts after the # detrending at an intensity value lower than the ones on the right, and all peaks has # a baseline under the zero. # # # %% # Improved detrending with peak exclusion # ----------------------------------------------------------- # An idea to overcome the limitation of the detrending function is suggested from the # behavior of the detrended signal: we already identified the problem, which is that the # linear fit is not performed on the baseline only, but also on the peaks. # # To perform a better detrending, we can first thus detect the peaks and then perform # a linear fit only on the non-peak regions. We reasonably expect this approach to # provide a more accurate baseline estimation and a better detrended signal. # %% # Automatic peak detection # ------------------------------------- # We can use the peak detection function of Sigima to automatically identify # the peaks in the spectrum. This function analyzes the signal and returns # the indices of the detected peaks. # Identify peaks in the detrended signal peak_indices = peakdetection.peak_indices(sig_filt.y) print("\n✓ Peak detection completed!") print(f"Found {len(peak_indices)} potential peaks in the spectrum") # Print detected peak positions x_data = sig_filt.x for i, peak_idx in enumerate(peak_indices): energy = x_data[peak_idx] intensity = sig_filt.y[peak_idx] print(f" Peak {i + 1}: Energy = {energy:.2f} eV, Intensity = {intensity:.1f}") # %% # Multi-Gaussian fitting # ----------------------------------------------------------- # We can now fit multiple Gaussian functions to the detected peaks. This allows us to # characterize each peak individually and obtain parameters such as position, # amplitude, and width for each peak. # Perform multi-Gaussian fit using detected peaks fitted_y, params = fitting.multigaussian_fit( sig_filt.x, sig_filt.y, peak_indices=peak_indices.tolist() ) # Create fitted signal object for visualization fitted_signal = sig_filt.copy() fitted_signal.y = fitted_y fitted_signal.title = "Multi-Gaussian Fit" print("\n✓ Multi-Gaussian fitting completed!") print("Each detected peak is fitted with individual Gaussian functions") # Visualize the final fitting result viz.view_curves( [sig_filt, fitted_signal], title="Paracetamol Spectrum - Detrended with Multi-Gaussian Fit", ) # %% # Defining ROI outside peaks for better detrending # ----------------------------------------------------------- # To improve the detrending, we define ROIs that exclude the detected peaks. # This allows us to fit the baseline only on the non-peak regions. # Extract peak parameters from the multi-Gaussian fit # Each peak has 3 parameters: amplitude, center, sigma num_peaks = len(peak_indices) peak_params = [] peaks_roi_bounds = np.zeros((num_peaks, 2)) for i in range(num_peaks): # Extract parameters for each Gaussian (amplitude, center, sigma) amplitude = params[f"amp_{i + 1}"] center = params[f"x0_{i + 1}"] sigma = params[f"sigma_{i + 1}"] peak_params.append([amplitude, center, sigma]) # Define exclusion zone as center ± 2*sigma exclusion_start = center - 2 * abs(sigma) exclusion_end = center + 2 * abs(sigma) peaks_roi_bounds[i] = [exclusion_start, exclusion_end] print(f"Peak {i + 1}: Center = {center:.2f} eV, Sigma = {sigma:.3f}") print(f" Exclusion zone: [{exclusion_start:.2f}, {exclusion_end:.2f}] eV") # Create ROIs including detected peaks roi = sigima.objects.create_signal_roi(peaks_roi_bounds) # invert ROIs to exclude peaks sig_filt.roi = roi.inverted(sig_filt.x.min(), sig_filt.x.max()) # Visualize the signal with new ROI viz.view_curves( sig_filt, title="Paracetamol Spectrum - Filtered with Peak Exclusion ROIs" ) # %% # We can now perform a linear fit on the signal using the defined ROIs to exclude # the peaks. This will provide a more accurate baseline estimation. fitted_signal = fit = sigima.proc.signal.linear_fit(sig_filt) # %% # Finally, we can subtract the extended linear fit from the original filtered signal # to obtain a better detrended signal. We can see that the baseline is now properly # estimated, leading to a more accurate detrended signal. better_detrended_signal = sigima.proc.signal.difference(sig_filt, fitted_signal) better_detrended_signal.title = "Improved Detrended Signal" print("\n✓ Improved detrending applied!") # Compare filtered and better detrended signals viz.view_curves( [sig_filt, better_detrended_signal], title="Paracetamol Spectrum - Filtered vs Improved Detrended", show_roi=False, ) # %% # To go futher... # ----------------------------------------------------------- # In the last step we really improved the detrending of our signal. Anyway, several # pics on the left of the signal are still not detected and the dentrending can be # futher improved. 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Ѩl:wSHc/!8@ /є\BGWM>Ukmdj}rpu*t9sDB!b]*1L# LsS#|c%r(8"p Q&PxF9(8JQ93q0(AG@#@)a#eQv1Fǔx`!( 10QJ(e 2 J`U@ @AAJ( @ %8*1B00J@`0F)8.ȸmVL>R9*l "%"!!!OFRIaKHHH4$-!!!LD3ARIaKHHH4L'IENDB`Sigima-1.1.1/doc/images/Sigima-Banner.svg000066400000000000000000000457121514013333200200760ustar00rootroot00000000000000 image/svg+xmlSigima Sigima-1.1.1/doc/images/Sigima.svg000066400000000000000000000457101514013333200166710ustar00rootroot00000000000000 image/svg+xmlS Sigima-1.1.1/doc/images/logos/000077500000000000000000000000001514013333200160535ustar00rootroot00000000000000Sigima-1.1.1/doc/images/logos/cea.svg000066400000000000000000000035741514013333200173350ustar00rootroot00000000000000 Sigima-1.1.1/doc/images/logos/codra.svg000066400000000000000000000104431514013333200176660ustar00rootroot00000000000000 Sigima-1.1.1/doc/images/logos/nlnet.svg000066400000000000000000000110661514013333200177200ustar00rootroot00000000000000 Sigima-1.1.1/doc/index.rst000066400000000000000000000100741514013333200153260ustar00rootroot00000000000000Sigima ====== **Sigima** is an advanced Python library for *scientific image and signal processing*. It provides a wide range of functionalities for analyzing and processing data, including signal filtering, image enhancement, and feature extraction. Sigima is based on a simple but effective object-oriented design, making it easy to use and extend. With Sigima, do in 3 lines of code what would normally take dozens of lines: .. code-block:: python import numpy as np import sigima.objects import sigima.proc.image data = np.random.normal(100, 30, (100, 100)) # Prepare test image data img = sigima.objects.create_image("Noisy", data) # Create the image object img.roi = sigima.objects.create_image_roi("circle", [30, 30, 20]) # Define ROI result = sigima.proc.image.gaussian_filter(img, sigma=5.0) # Apply Gaussian filter .. figure:: _static/DataLab-Banner.svg :align: center :width: 300 px :class: dark-light no-scaled-link Developed and maintained by the DataLab Platform Developers, **Sigima** powers the computation backend of `DataLab `_. .. only:: html and not latex .. grid:: 2 2 4 4 :gutter: 1 2 3 4 .. grid-item-card:: :octicon:`rocket;1em;sd-text-info` User Guide :link: user_guide/index :link-type: doc Installation, overview, and features .. grid-item-card:: :octicon:`code;1em;sd-text-info` Examples :link: ../auto_examples/index :link-type: doc Gallery of examples .. grid-item-card:: :octicon:`book;1em;sd-text-info` API :link: api/index :link-type: doc Reference documentation .. grid-item-card:: :octicon:`gear;1em;sd-text-info` Contributing :link: contributing/index :link-type: doc Getting involved in the project Try it Online ------------- **Experience Sigima instantly in your browser** — no installation required! .. image:: https://img.shields.io/badge/Try_it-online-blue?logo=jupyter :target: https://notebook.link/github/DataLab-Platform/Sigima/tree/main/notebooks/?path=notebooks/sigima_basic_example.ipynb :alt: Try it online Click the badge above to open a basic example notebook in a live JupyterLite environment powered by `notebook.link `_. This service, developed by `QuantStack `_, enables sharing and running Jupyter notebooks directly in the browser with zero setup. Simply run the cells to explore: - Creating signal and image objects - Applying processing functions - Visualizing results inline Sigima has been funded by the following stakeholders: .. list-table:: :header-rows: 0 * - |nlnet_logo| - `NLnet Foundation `_, as part of the NGI0 Commons Fund, backed by the European Commission, has funded the `redesign of DataLab's core architecture `_. * - |cea_logo| - `CEA `_, the French Alternative Energies and Atomic Energy Commission, is the major investor in DataLab, and is the main contributor to the project. * - |codra_logo| - `CODRA`_, a software engineering and editor firm, has supported DataLab open-source journey since its inception (see `here `_). .. |cea_logo| image:: images/logos/cea.svg :width: 64px :height: 64px :target: https://www.cea.fr :class: dark-light no-scaled-link .. |codra_logo| image:: images/logos/codra.svg :width: 64px :height: 64px :target: https://codra.net :class: dark-light no-scaled-link .. |nlnet_logo| image:: images/logos/nlnet.svg :width: 64px :height: 64px :target: https://nlnet.nl :class: dark-light no-scaled-link .. only:: latex and not html .. toctree:: :maxdepth: 2 :caption: Contents user_guide/index auto_examples/index api/index contributing/index release_notes/index .. _DataLab: https://www.datalab-platform.com .. _CODRA: https://codra.net/ Sigima-1.1.1/doc/locale/000077500000000000000000000000001514013333200147225ustar00rootroot00000000000000Sigima-1.1.1/doc/locale/fr/000077500000000000000000000000001514013333200153315ustar00rootroot00000000000000Sigima-1.1.1/doc/locale/fr/LC_MESSAGES/000077500000000000000000000000001514013333200171165ustar00rootroot00000000000000Sigima-1.1.1/doc/locale/fr/LC_MESSAGES/api/000077500000000000000000000000001514013333200176675ustar00rootroot00000000000000Sigima-1.1.1/doc/locale/fr/LC_MESSAGES/api/index.po000066400000000000000000000107131514013333200213400ustar00rootroot00000000000000# SOME DESCRIPTIVE TITLE. # Copyright (C) 2025, DataLab Platform Developers # This file is distributed under the same license as the Sigima package. # FIRST AUTHOR , 2025. # #, fuzzy msgid "" msgstr "" "Project-Id-Version: Sigima \n" "Report-Msgid-Bugs-To: \n" "PO-Revision-Date: YEAR-MO-DA HO:MI+ZONE\n" "Language: fr\n" "Language-Team: fr \n" "Plural-Forms: nplurals=2; plural=(n > 1);\n" "MIME-Version: 1.0\n" "Content-Type: text/plain; charset=utf-8\n" "Content-Transfer-Encoding: 8bit\n" "Generated-By: Babel 2.17.0\n" msgid "Public features:" msgstr "Fonctionnalités publiques :" msgid "API" msgstr "API" msgid "The public Application Programming Interface (API) of Sigima offers a set of functions that can be used to access the DataLab computational backend. This API is designed to be simple and effective, allowing users to perform signal and image processing tasks with ease." msgstr "L'interface de programmation d'application (API) publique de Sigima offre un ensemble de fonctions qui peuvent être utilisées pour accéder au backend de calcul DataLab. Cette API est conçue pour être simple et efficace, permettant aux utilisateurs d'effectuer facilement des tâches de traitement de signaux et d'images." msgid "Submodule" msgstr "Sous-module" msgid "Purpose" msgstr "Objectif" msgid ":mod:`sigima.tools`" msgstr "" msgid "Algorithms for data analysis (operating on NumPy arrays) which purpose is to fill in the gaps of common scientific libraries (NumPy, SciPy, scikit-image, etc.), offering consistent tools for computation functions (see :mod:`sigima.proc`)" msgstr "Algorithmes d'analyse de données (fonctionnant sur des tableaux NumPy) dont le but est de combler les lacunes des bibliothèques scientifiques courantes (NumPy, SciPy, scikit-image, etc.), offrant des outils cohérents pour les fonctions de calcul (voir :mod:`sigima.proc`)" msgid ":mod:`sigima.params`" msgstr "" msgid "Sets of parameters for configuring computation functions (these parameters are instances of :class:`guidata.dataset.DataSet` objects)" msgstr "Ensembles de paramètres pour configurer les fonctions de calcul (ces paramètres sont des instances d'objets :class:`guidata.dataset.DataSet`)" msgid ":mod:`sigima.objects`" msgstr "" msgid "Object model for signals and images (:class:`sigima.objects.SignalObj` and :class:`sigima.objects.ImageObj`), scalar results (:class:`sigima.objects.GeometryResult` and :class:`sigima.objects.TableResult`), and related functions" msgstr "Modèle d'objet pour les signaux et les images (:class:`sigima.objects.SignalObj` et :class:`sigima.objects.ImageObj`), résultats scalaires (:class:`sigima.objects.GeometryResult` et :class:`sigima.objects.TableResult`), et fonctions associées" msgid ":mod:`sigima.proc`" msgstr "" msgid "Computation functions, which operate on signal and image objects (:class:`sigima.objects.SignalObj` or :class:`sigima.objects.ImageObj`) and return signal or image objects, or scalar results (:class:`sigima.objects.GeometryResult` or :class:`sigima.objects.TableResult`)." msgstr "Fonctions de calcul, qui opèrent sur des objets signal et image (:class:`sigima.objects.SignalObj` ou :class:`sigima.objects.ImageObj`) et retournent des objets signal ou image, ou des résultats scalaires (:class:`sigima.objects.GeometryResult` ou :class:`sigima.objects.TableResult`)." msgid ":mod:`sigima.config`" msgstr "" msgid "Configuration management for the Sigima library, including options for data paths, translations, and other settings." msgstr "Gestion de la configuration pour la bibliothèque Sigima, y compris les options pour les chemins de données, les traductions et d'autres paramètres." msgid ":mod:`sigima.client`" msgstr "" msgid "Client interface for connecting to DataLab application through XML-RPC protocol, providing remote control capabilities for signal and image processing workflows." msgstr "Interface client pour se connecter à l'application DataLab via le protocole XML-RPC, offrant des capacités de contrôle à distance pour les flux de travail de traitement de signaux et d'images." msgid ":mod:`sigima.viz`" msgstr "" msgid "Visualization tools for interactive display of signal and image objects, supporting PlotPy and Matplotlib backends for testing, debugging, and Jupyter notebook analysis." msgstr "Outils de visualisation pour l'affichage interactif des objets signal et image, prenant en charge les backends PlotPy et Matplotlib pour les tests, le débogage et l'analyse dans les notebooks Jupyter." Sigima-1.1.1/doc/locale/fr/LC_MESSAGES/auto_examples/000077500000000000000000000000001514013333200217645ustar00rootroot00000000000000Sigima-1.1.1/doc/locale/fr/LC_MESSAGES/auto_examples/features/000077500000000000000000000000001514013333200236025ustar00rootroot00000000000000Sigima-1.1.1/doc/locale/fr/LC_MESSAGES/auto_examples/features/convolution.po000066400000000000000000000141771514013333200265330ustar00rootroot00000000000000# SOME DESCRIPTIVE TITLE. # Copyright (C) 2025, DataLab Platform Developers # This file is distributed under the same license as the Sigima package. # FIRST AUTHOR , 2025. # #, fuzzy msgid "" msgstr "" "Project-Id-Version: Sigima \n" "Report-Msgid-Bugs-To: \n" "PO-Revision-Date: YEAR-MO-DA HO:MI+ZONE\n" "Language: fr\n" "Language-Team: fr \n" "Plural-Forms: nplurals=2; plural=(n > 1);\n" "MIME-Version: 1.0\n" "Content-Type: text/plain; charset=utf-8\n" "Content-Transfer-Encoding: 8bit\n" "Generated-By: Babel 2.17.0\n" msgid ":ref:`Go to the end ` to download the full example code." msgstr ":ref:`Aller à la fin ` pour télécharger le code complet de l'exemple." msgid "Convolution and Deconvolution" msgstr "Convolution et déconvolution" msgid "This example focuses on image blurring and sharpening using convolution and deconvolution techniques provided by Sigima. Using various kernels, we'll explore how these operations affect images and how to implement them using Sigima's processing functions." msgstr "Cet exemple se concentre sur le floutage et l'accentuation de contours d'images en utilisant les techniques de convolution et de déconvolution fournies par Sigima. En utilisant divers noyaux, nous explorerons comment ces opérations affectent les images et comment les implémenter en utilisant les fonctions de traitement de Sigima." msgid "The example shows:" msgstr "L'exemple montre :" msgid "Creating test images and kernels" msgstr "Création d'images de test et de noyaux" msgid "Basic convolution with Gaussian kernel" msgstr "Convolution de base avec noyau gaussien" msgid "Identity convolution (preserving original image)" msgstr "Convolution d'identité (préservation de l'image d'origine)" msgid "Deconvolution operations" msgstr "Opérations de déconvolution" msgid "Effects of different kernel parameters" msgstr "Effets des différents paramètres de noyau" msgid "Custom edge detection and sharpening kernels" msgstr "Kernels personnalisés de détection de contours et d'accentuation" msgid "This tutorial uses PlotPy for visualization, providing interactive plots that allow you to explore the convolution results in detail." msgstr "Ce tutoriel utilise PlotPy pour la visualisation, fournissant des graphiques interactifs qui vous permettent d'explorer les résultats de convolution en détail." msgid "Importing necessary modules" msgstr "Importation des modules nécessaires" msgid "We'll start by importing all the required modules for image processing and visualization." msgstr "Nous commencerons par importer tous les modules nécessaires au traitement d'image et à la visualisation." msgid "We start by creating a test image and various convolution kernels." msgstr "Nous commençons par créer une image de test et divers noyaux de convolution." msgid "Qt widget 1" msgstr "" msgid "Now we'll perform convolution with the Gaussian kernel and compare the result with scipy's implementation to verify correctness." msgstr "Nous allons maintenant effectuer une convolution avec le noyau gaussien et comparer le résultat avec l'implémentation de scipy pour vérifier la justesse." msgid "Identity convolution" msgstr "Convolution d'identité" msgid "Identity convolution should preserve the original image exactly. This demonstrates that our convolution implementation is working correctly." msgstr "La convolution d'identité devrait préserver exactement l'image d'origine. Cela démontre que notre implémentation de convolution fonctionne correctement." msgid "Deconvolution with identity kernel" msgstr "Déconvolution avec noyau d'identité" msgid "Deconvolution is the inverse operation of convolution. We'll start with a simple case using the identity kernel." msgstr "La déconvolution est l'opération inverse de la convolution. Nous commencerons par un cas simple utilisant le noyau d'identité." msgid "Advanced deconvolution with Gaussian kernel" msgstr "Déconvolution avancée avec noyau gaussien" msgid "Now we'll try deconvolution with a Gaussian kernel, which is more challenging and demonstrates the limitations of deconvolution." msgstr "Nous allons maintenant essayer la déconvolution avec un noyau gaussien, qui est plus difficile et démontre les limites de la déconvolution." msgid "Exploring different kernel parameters" msgstr "Exploration des différents paramètres de noyau" msgid "Different sigma values in Gaussian kernels produce different blurring effects. Let's compare several sigma values side by side." msgstr "Différentes valeurs de sigma dans les noyaux gaussiens produisent différents effets de flou. Comparons plusieurs valeurs de sigma côte à côte." msgid "Qt widget 2" msgstr "" msgid "Custom convolution kernels" msgstr "Kernels de convolution personnalisés" msgid "Besides Gaussian kernels, we can create custom kernels for specific image processing tasks like edge detection and sharpening." msgstr "En plus des noyaux gaussiens, nous pouvons créer des noyaux personnalisés pour des tâches spécifiques de traitement d'image telles que la détection de contours et l'accentuation." msgid "Summary and conclusions" msgstr "Résumé et conclusions" msgid "This tutorial demonstrated the key concepts of convolution and deconvolution in image processing using Sigima." msgstr "Ce tutoriel a démontré les concepts clés de la convolution et de la déconvolution dans le traitement d'image en utilisant Sigima." msgid ":download:`Download Jupyter notebook: convolution.ipynb `" msgstr ":download:`Télécharger le notebook Jupyter : convolution.ipynb `" msgid ":download:`Download Python source code: convolution.py `" msgstr ":download:`Télécharger le code source Python : convolution.py `" msgid ":download:`Download zipped: convolution.zip `" msgstr ":download:`Télécharger le fichier compressé : convolution.zip `" msgid "`Gallery generated by Sphinx-Gallery `_" msgstr "`Galerie générée par Sphinx-Gallery `_" Sigima-1.1.1/doc/locale/fr/LC_MESSAGES/auto_examples/features/coordinate_systems.po000066400000000000000000000135321514013333200300640ustar00rootroot00000000000000# SOME DESCRIPTIVE TITLE. # Copyright (C) 2025, DataLab Platform Developers # This file is distributed under the same license as the Sigima package. # FIRST AUTHOR , 2025. # #, fuzzy msgid "" msgstr "" "Project-Id-Version: Sigima \n" "Report-Msgid-Bugs-To: \n" "PO-Revision-Date: YEAR-MO-DA HO:MI+ZONE\n" "Language: fr\n" "Language-Team: fr \n" "Plural-Forms: nplurals=2; plural=(n > 1);\n" "MIME-Version: 1.0\n" "Content-Type: text/plain; charset=utf-8\n" "Content-Transfer-Encoding: 8bit\n" "Generated-By: Babel 2.17.0\n" msgid ":ref:`Go to the end ` to download the full example code." msgstr ":ref:`Aller à la fin ` pour télécharger le code complet de l'exemple." msgid "Uniform and Non-Uniform Coordinate Systems" msgstr "Systèmes de coordonnées uniformes et non uniformes" msgid "This example demonstrates the use of uniform and non-uniform coordinate systems with images in Sigima. It shows how to create, visualize, and work with both types of coordinate systems, highlighting their differences and appropriate use cases." msgstr "Cet exemple démontre l'utilisation de systèmes de coordonnées uniformes et non uniformes avec des images dans Sigima. Il montre comment créer, visualiser et travailler avec les deux types de systèmes de coordonnées, en mettant en évidence leurs différences et leurs cas d'utilisation appropriés." msgid "The example shows:" msgstr "L'exemple montre :" msgid "Creating images with uniform coordinate systems" msgstr "Création d'images avec des systèmes de coordonnées uniformes" msgid "Creating images with non-uniform coordinate systems" msgstr "Création d'images avec des systèmes de coordonnées non uniformes" msgid "Visualizing the coordinate grids" msgstr "Visualisation des grilles de coordonnées" msgid "Comparing pixel spacing and coordinate mapping" msgstr "Comparaison de l'espacement des pixels et du mappage des coordonnées" msgid "Working with real-world units and coordinates" msgstr "Travail avec des unités et des coordonnées du monde réel" msgid "Understanding when to use each coordinate system type" msgstr "Quand et comment utiliser chaque type de système de coordonnées" msgid "This tutorial uses PlotPy for visualization, providing interactive plots that allow you to explore the coordinate system effects in detail." msgstr "Ce tutoriel utilise PlotPy pour la visualisation, fournissant des graphiques interactifs qui vous permettent d'explorer en détail les effets du système de coordonnées." msgid "Importing necessary modules" msgstr "Importation des modules nécessaires" msgid "We'll start by importing all the required modules for image processing and visualization." msgstr "Nous commencerons par importer tous les modules nécessaires au traitement d'images et à la visualisation." msgid "Creating test images with uniform coordinates" msgstr "Création d'images de test avec des coordonnées uniformes" msgid "Uniform coordinates have constant spacing between pixels in both directions. This is the most common case for regular imaging systems." msgstr "Les coordonnées uniformes ont un espacement constant entre les pixels dans les deux directions. C'est le cas le plus courant pour les systèmes d'imagerie réguliers." msgid "Creating test images with non-uniform coordinates" msgstr "Création d'images de test avec des coordonnées non uniformes" msgid "Non-uniform coordinates allow for variable spacing between pixels, useful for adaptive sampling, curved coordinates, or irregular grids." msgstr "Les coordonnées non uniformes permettent un espacement variable entre les pixels, utile pour l'échantillonnage adaptatif, les coordonnées courbes ou les grilles irrégulières." msgid "Visualizing coordinate system differences" msgstr "Visualisation des différences entre les systèmes de coordonnées" msgid "Let's create coordinate grid visualizations to highlight the differences between uniform and non-uniform coordinate systems." msgstr "Créons des visualisations de grilles de coordonnées pour mettre en évidence les différences entre les systèmes de coordonnées uniformes et non uniformes." msgid "Qt widget 1" msgstr "" msgid "Qt widget 2" msgstr "" msgid "Creating specialized non-uniform coordinate examples" msgstr "Création d'exemples spécialisés de coordonnées non uniformes" msgid "Let's create some more realistic examples of non-uniform coordinates that might be encountered in real applications:" msgstr "Créons des exemples plus réalistes de coordonnées non uniformes qui pourraient être rencontrées dans des applications réelles :" msgid "Time-resolved spectroscopy with logarithmic wavelength scale" msgstr "Spectroscopie résolue en temps avec une échelle de longueur d'onde logarithmique" msgid "Polar to Cartesian mapping" msgstr "Conversion polaire en cartésien" msgid "Summary and best practices" msgstr "Résumé et meilleures pratiques" msgid "Let's summarize when to use each coordinate system type." msgstr "Résumons quand utiliser chaque type de système de coordonnées." msgid ":download:`Download Jupyter notebook: coordinate_systems.ipynb `" msgstr ":download:`Télécharger le notebook Jupyter : coordinate_systems.ipynb `" msgid ":download:`Download Python source code: coordinate_systems.py `" msgstr ":download:`Télécharger le code source Python : coordinate_systems.py `" msgid ":download:`Download zipped: coordinate_systems.zip `" msgstr ":download:`Télécharger l'archive zip : coordinate_systems.zip `" msgid "`Gallery generated by Sphinx-Gallery `_" msgstr "`Galerie générée par Sphinx-Gallery `_" Sigima-1.1.1/doc/locale/fr/LC_MESSAGES/auto_examples/features/datalab_client.po000066400000000000000000000050061514013333200270710ustar00rootroot00000000000000# SOME DESCRIPTIVE TITLE. # Copyright (C) 2025, DataLab Platform Developers # This file is distributed under the same license as the Sigima package. # FIRST AUTHOR , 2025. # #, fuzzy msgid "" msgstr "" "Project-Id-Version: Sigima \n" "Report-Msgid-Bugs-To: \n" "PO-Revision-Date: YEAR-MO-DA HO:MI+ZONE\n" "Language: fr\n" "Language-Team: fr \n" "Plural-Forms: nplurals=2; plural=(n > 1);\n" "MIME-Version: 1.0\n" "Content-Type: text/plain; charset=utf-8\n" "Content-Transfer-Encoding: 8bit\n" "Generated-By: Babel 2.17.0\n" msgid ":ref:`Go to the end ` to download the full example code." msgstr ":ref:`Aller à la fin ` pour télécharger le code complet de l'exemple." msgid "DataLab remote control example" msgstr "Exemple de contrôle à distance de DataLab" msgid "Example of remote control of DataLab current session, from a Python script running outside DataLab (e.g. in Spyder)" msgstr "Exemple de contrôle à distance de la session actuelle de DataLab, à partir d'un script Python s'exécutant en dehors de DataLab (par exemple dans Spyder)" msgid "This example demonstrates how to control DataLab remotely using the SimpleRemoteProxy from Sigima. The script can be run from any Python environment outside of DataLab to interact with an active DataLab session." msgstr "Cet exemple démontre comment contrôler DataLab à distance en utilisant le SimpleRemoteProxy de Sigima. Le script peut être exécuté depuis n'importe quel environnement Python en dehors de DataLab pour interagir avec une session DataLab active." msgid "This example is not executed during documentation build as it requires an active DataLab session to connect to. It is included in the gallery for reference and can be run manually when DataLab is running." msgstr "Cet exemple n'est pas exécuté lors de la construction de la documentation car il nécessite une session DataLab active à laquelle se connecter. Il est inclus dans la galerie à titre de référence et peut être exécuté manuellement lorsque DataLab est en cours d'exécution." msgid ":download:`Download Jupyter notebook: datalab_client.ipynb `" msgstr "" msgid ":download:`Download Python source code: datalab_client.py `" msgstr "" msgid ":download:`Download zipped: datalab_client.zip `" msgstr "" msgid "`Gallery generated by Sphinx-Gallery `_" msgstr "" Sigima-1.1.1/doc/locale/fr/LC_MESSAGES/auto_examples/features/datetime_signals.po000066400000000000000000000153601514013333200274630ustar00rootroot00000000000000# SOME DESCRIPTIVE TITLE. # Copyright (C) 2025, DataLab Platform Developers # This file is distributed under the same license as the Sigima package. # FIRST AUTHOR , 2025. # #, fuzzy msgid "" msgstr "" "Project-Id-Version: Sigima \n" "Report-Msgid-Bugs-To: \n" "PO-Revision-Date: YEAR-MO-DA HO:MI+ZONE\n" "Language: fr\n" "Language-Team: fr \n" "Plural-Forms: nplurals=2; plural=(n > 1);\n" "MIME-Version: 1.0\n" "Content-Type: text/plain; charset=utf-8\n" "Content-Transfer-Encoding: 8bit\n" "Generated-By: Babel 2.17.0\n" msgid ":ref:`Go to the end ` to download the full example code." msgstr ":ref:`Aller à la fin ` pour télécharger le code complet de l'exemple." msgid "DateTime Signal Processing" msgstr "Traitement des signaux DateTime" msgid "This example demonstrates how to work with signals that have datetime X-axis data in Sigima. DateTime support is essential for time-series analysis where you need to preserve human-readable timestamps while performing signal processing." msgstr "Cet exemple démontre comment travailler avec des signaux ayant des données d'axe X de type datetime dans Sigima. Le support de DateTime est essentiel pour l'analyse des séries temporelles où vous devez préserver des horodatages lisibles par l'homme tout en effectuant un traitement de signal." msgid "The example shows:" msgstr "L'exemple montre :" msgid "Creating signals from datetime objects and strings" msgstr "Création de signaux à partir d'objets datetime et de chaînes" msgid "Using different time units (hours, minutes, seconds, milliseconds, etc.)" msgstr "Utilisation de différentes unités de temps (heures, minutes, secondes, millisecondes, etc.)" msgid "Visualizing datetime signals with proper time formatting" msgstr "Visualisation des signaux datetime avec un formatage temporel approprié" msgid "CSV I/O with datetime preservation" msgstr "Entrée/Sortie CSV avec préservation des datetimes" msgid "Roundtrip testing across all supported time units" msgstr "Tests de roundtrip sur toutes les unités de temps prises en charge" msgid "This tutorial uses PlotPy for visualization, providing interactive plots with properly formatted datetime axes." msgstr "Ce tutoriel utilise PlotPy pour la visualisation, fournissant des graphiques interactifs avec des axes datetime correctement formatés." msgid "Importing necessary modules" msgstr "Importation des modules nécessaires" msgid "We'll start by importing all the required modules for datetime signal processing and visualization." msgstr "Nous commencerons par importer tous les modules nécessaires au traitement des signaux datetime et à la visualisation." msgid "Creating datetime signals from datetime objects" msgstr "Création de signaux datetime à partir d'objets datetime" msgid "The most common way to create datetime signals is from Python datetime objects. This is useful when you have timestamps from sensors, logs, or other time-series data." msgstr "La façon la plus courante de créer des signaux datetime est à partir d'objets datetime Python. Cela est utile lorsque vous avez des horodatages provenant de capteurs, de journaux ou d'autres données de séries temporelles." msgid "Qt widget 1" msgstr "" msgid "Creating datetime signals from string timestamps" msgstr "Création de signaux datetime à partir d'horodatages sous forme de chaînes" msgid "Often, datetime data comes as strings (e.g., from CSV files or logs). Sigima can automatically parse common datetime string formats." msgstr "Souvent, les données datetime se présentent sous forme de chaînes (par exemple, à partir de fichiers CSV ou de journaux). Sigima peut automatiquement analyser les formats de chaînes datetime courants." msgid "Using different time units" msgstr "Utilisation de différentes unités de temps" msgid "Sigima supports various time units to match your data's natural resolution: nanoseconds (ns), microseconds (us), milliseconds (ms), seconds (s), minutes (min), and hours (h)." msgstr "Sigima prend en charge diverses unités de temps pour correspondre à la résolution naturelle de vos données : nanosecondes (ns), microsecondes (us), millisecondes (ms), secondes (s), minutes (min) et heures (h)." msgid "Comparing multiple datetime signals" msgstr "Comparaison de plusieurs signaux datetime" msgid "You can visualize multiple datetime signals together to compare trends." msgstr "Vous pouvez visualiser plusieurs signaux datetime ensemble pour comparer les tendances." msgid "Sigima automatically preserves datetime information when writing to CSV, storing timestamps as human-readable strings instead of opaque float values." msgstr "Sigima préserve automatiquement les informations datetime lors de l'écriture dans un fichier CSV, stockant les horodatages sous forme de chaînes lisibles par l'homme plutôt que de valeurs flottantes opaques." msgid "Summary" msgstr "Résumé" msgid "This example demonstrated the complete datetime signal workflow in Sigima:" msgstr "Cet exemple a démontré le flux de travail complet des signaux datetime dans Sigima :" msgid "**Creating datetime signals** from objects and strings" msgstr "**Création de signaux datetime** à partir d'objets et de chaînes" msgid "**Multiple time units** (ns, us, ms, s, min, h) stored in `xunit` attribute" msgstr "**Plusieurs unités de temps** (ns, us, ms, s, min, h) stockées dans l'attribut `xunit`" msgid "**Visualization** with properly formatted datetime axes" msgstr "**Visualisation** avec des axes datetime correctement formatés" msgid "**CSV I/O** with automatic datetime preservation" msgstr "**CSV I/O** avec préservation automatique des datetime" msgid "The time unit is stored in the signal's `xunit` attribute, making it easy to access and consistent with other signal metadata. DateTime support makes Sigima ideal for time-series analysis, sensor data processing, and any application requiring human-readable temporal information." msgstr "L'unité de temps est stockée dans l'attribut `xunit` du signal, ce qui facilite l'accès et assure la cohérence avec les autres métadonnées du signal. La prise en charge des datetime fait de Sigima un outil idéal pour l'analyse des séries temporelles, le traitement des données de capteurs et toute application nécessitant des informations temporelles lisibles par l'homme." msgid ":download:`Download Jupyter notebook: datetime_signals.ipynb `" msgstr "" msgid ":download:`Download Python source code: datetime_signals.py `" msgstr "" msgid ":download:`Download zipped: datetime_signals.zip `" msgstr "" msgid "`Gallery generated by Sphinx-Gallery `_" msgstr "" Sigima-1.1.1/doc/locale/fr/LC_MESSAGES/auto_examples/features/index.po000066400000000000000000000020471514013333200252540ustar00rootroot00000000000000# SOME DESCRIPTIVE TITLE. # Copyright (C) 2025, DataLab Platform Developers # This file is distributed under the same license as the Sigima package. # FIRST AUTHOR , 2025. # #, fuzzy msgid "" msgstr "" "Project-Id-Version: Sigima \n" "Report-Msgid-Bugs-To: \n" "PO-Revision-Date: YEAR-MO-DA HO:MI+ZONE\n" "Language: fr\n" "Language-Team: fr \n" "Plural-Forms: nplurals=2; plural=(n > 1);\n" "MIME-Version: 1.0\n" "Content-Type: text/plain; charset=utf-8\n" "Content-Transfer-Encoding: 8bit\n" "Generated-By: Babel 2.17.0\n" msgid "Various Features" msgstr "Fonctionnalités diverses" msgid ":ref:`sphx_glr_auto_examples_features_convolution.py`" msgstr "" msgid ":ref:`sphx_glr_auto_examples_features_datalab_client.py`" msgstr "" msgid ":ref:`sphx_glr_auto_examples_features_datetime_signals.py`" msgstr "" msgid ":ref:`sphx_glr_auto_examples_features_roi_grid.py`" msgstr "" msgid ":ref:`sphx_glr_auto_examples_features_coordinate_systems.py`" msgstr "" msgid ":ref:`sphx_glr_auto_examples_features_zero_padding.py`" msgstr "" Sigima-1.1.1/doc/locale/fr/LC_MESSAGES/auto_examples/features/roi_grid.po000066400000000000000000000146231514013333200257460ustar00rootroot00000000000000# Génération de grille de ROI. # Copyright (C) 2025, DataLab Platform Developers # This file is distributed under the same license as the Sigima package. # Pierre Raybaut, 2025. # msgid "" msgstr "" "Project-Id-Version: Sigima \n" "Report-Msgid-Bugs-To: \n" "PO-Revision-Date: 2025-12-16 12:00+0100\n" "Language: fr\n" "Language-Team: fr \n" "Plural-Forms: nplurals=2; plural=(n > 1);\n" "MIME-Version: 1.0\n" "Content-Type: text/plain; charset=utf-8\n" "Content-Transfer-Encoding: 8bit\n" "Generated-By: Babel 2.17.0\n" msgid ":ref:`Go to the end ` to download the full example code." msgstr ":ref:`Aller à la fin ` pour télécharger le code complet de l'exemple." msgid "ROI Grid Generation" msgstr "Génération de grille de ROI" msgid "This example focuses on generating grids of rectangular ROIs for systematic analysis of regular patterns in images using Sigima's ROI grid feature. Using a real laser spot array image, we'll explore how to create, configure, and apply ROI grids for extracting individual spots." msgstr "Cet exemple se concentre sur la génération de grilles de ROI rectangulaires pour l'analyse systématique de motifs réguliers dans les images à l'aide de la fonctionnalité de grille de ROI de Sigima. En utilisant une image réelle de matrice de spots laser, nous explorerons comment créer, configurer et appliquer des grilles de ROI pour extraire des spots individuels." msgid "The example shows:" msgstr "Cet exemple montre :" msgid "Loading a real-world laser spot array image" msgstr "Le chargement d'une image réelle de matrice de spots laser" msgid "Extracting a sub-region for clearer visualization" msgstr "L'extraction d'une sous-région pour une visualisation plus claire" msgid "Generating a grid of rectangular ROIs" msgstr "La génération d'une grille de ROI rectangulaires" msgid "Configuring grid parameters (size, translation, step spacing)" msgstr "La configuration des paramètres de la grille (taille, translation, espacement)" msgid "Understanding direction labels (row/column ordering)" msgstr "La compréhension des labels de direction (ordre des lignes/colonnes)" msgid "Extracting individual spots using the generated ROIs" msgstr "L'extraction de spots individuels à l'aide des ROI générées" msgid "Visualizing the ROIs on the image" msgstr "La visualisation des ROI sur l'image" msgid "This tutorial uses PlotPy for visualization, providing interactive plots that allow you to explore the ROI grid placement in detail." msgstr "Ce tutoriel utilise PlotPy pour la visualisation, fournissant des graphiques interactifs qui permettent d'explorer en détail le placement de la grille de ROI." msgid "Importing necessary modules" msgstr "Importation des modules nécessaires" msgid "We'll start by importing all the required modules for image processing and visualization." msgstr "Nous commencerons par importer tous les modules nécessaires au traitement d'images et à la visualisation." msgid "Loading a real laser spot array image" msgstr "Chargement d'une image réelle de matrice de spots laser" msgid "We'll use a laser spot array image with a 6×6 grid of spots. This is a realistic example where we need to analyze each spot individually." msgstr "Nous utiliserons une image de matrice de spots laser avec une grille 6×6 de spots. C'est un exemple réaliste où nous devons analyser chaque spot individuellement." msgid "Extracting a 2×2 sub-region" msgstr "Extraction d'une sous-région 2×2" msgid "For clearer visualization of the ROI grid feature, we'll extract a 2×2 sub-region from the center of the full 6×6 spot array." msgstr "Pour une visualisation plus claire de la fonctionnalité de grille de ROI, nous extrairons une sous-région 2×2 du centre de la matrice complète 6×6 de spots." msgid "Qt widget 1" msgstr "" msgid "Creating a basic grid of ROIs" msgstr "Création d'une grille de base de ROI" msgid "Now we'll generate a 2×2 grid of ROIs to match the extracted spot array. Each ROI will be centered on a spot for individual analysis." msgstr "Nous allons maintenant générer une grille 2×2 de ROI correspondant à la matrice de spots extraite. Chaque ROI sera centrée sur un spot pour une analyse individuelle." msgid "Extracting individual spots" msgstr "Extraction de spots individuels" msgid "Once the ROI grid is defined, we can extract individual spots as separate images for further analysis." msgstr "Une fois la grille de ROI définie, nous pouvons extraire les spots individuels sous forme d'images séparées pour une analyse plus approfondie." msgid "Adjusting ROI size and position" msgstr "Ajustement de la taille et de la position des ROI" msgid "The ROI size and translation parameters control how the ROIs are placed within each grid cell. Let's explore different configurations." msgstr "Les paramètres de taille et de translation des ROI contrôlent comment les ROI sont placées dans chaque cellule de la grille. Explorons différentes configurations." msgid "Understanding direction labels" msgstr "Compréhension des labels de direction" msgid "The xdirection and ydirection parameters control how rows and columns are numbered. This affects the ROI titles but not the geometry." msgstr "Les paramètres xdirection et ydirection contrôlent comment les lignes et les colonnes sont numérotées. Cela affecte les titres des ROI mais pas la géométrie." msgid "Summary and conclusions" msgstr "Résumé et conclusions" msgid "This tutorial demonstrated the key concepts of ROI grid generation for systematic analysis of regular patterns in images using Sigima." msgstr "Ce tutoriel a présenté les concepts clés de la génération de grille de ROI pour l'analyse systématique de motifs réguliers dans les images à l'aide de Sigima." msgid ":download:`Download Jupyter notebook: roi_grid.ipynb `" msgstr ":download:`Télécharger le notebook Jupyter : roi_grid.ipynb `" msgid ":download:`Download Python source code: roi_grid.py `" msgstr ":download:`Télécharger le code source Python : roi_grid.py `" msgid ":download:`Download zipped: roi_grid.zip `" msgstr ":download:`Télécharger l'archive : roi_grid.zip `" msgid "`Gallery generated by Sphinx-Gallery `_" msgstr "`Galerie générée par Sphinx-Gallery `_" Sigima-1.1.1/doc/locale/fr/LC_MESSAGES/auto_examples/features/zero_padding.po000066400000000000000000000133321514013333200266110ustar00rootroot00000000000000# SOME DESCRIPTIVE TITLE. # Copyright (C) 2025, DataLab Platform Developers # This file is distributed under the same license as the Sigima package. # FIRST AUTHOR , 2025. # #, fuzzy msgid "" msgstr "" "Project-Id-Version: Sigima \n" "Report-Msgid-Bugs-To: \n" "PO-Revision-Date: YEAR-MO-DA HO:MI+ZONE\n" "Language: fr\n" "Language-Team: fr \n" "Plural-Forms: nplurals=2; plural=(n > 1);\n" "MIME-Version: 1.0\n" "Content-Type: text/plain; charset=utf-8\n" "Content-Transfer-Encoding: 8bit\n" "Generated-By: Babel 2.17.0\n" msgid ":ref:`Go to the end ` to download the full example code." msgstr "" msgid "Zero Padding for FFT Enhancement" msgstr "Remplissage par zéro pour l'amélioration de la FFT" msgid "This example demonstrates how to apply zero-padding to signals, a common technique used to improve FFT frequency resolution. It shows the proper usage of :class:`sigima.params.ZeroPadding1DParam`, including the important ``update_from_obj()`` call." msgstr "Cet exemple montre comment appliquer un remplissage par zéro aux signaux, une technique courante utilisée pour améliorer la résolution en fréquence de la FFT. Il montre l'utilisation correcte de :class:`sigima.params.ZeroPadding1DParam`, y compris l'appel important à ``update_from_obj()``." msgid "Zero-padding adds zeros to a signal, effectively interpolating the frequency domain representation. This is particularly useful for:" msgstr "Le remplissage par zéro ajoute des zéros à un signal, interpolant ainsi la représentation dans le domaine fréquentiel. Cela est particulièrement utile pour :" msgid "Improving frequency resolution in FFT analysis" msgstr "Amélioration de la résolution en fréquence dans l'analyse FFT" msgid "Preparing signals for convolution operations" msgstr "Préparation des signaux pour les opérations de convolution" msgid "Matching signal lengths for spectral comparisons" msgstr "Correspondance des longueurs de signal pour les comparaisons spectrales" msgid "Importing the required modules" msgstr "Importation des modules requis" msgid "Create a test signal" msgstr "Créer un signal de test" msgid "We create a simple cosine signal with a specific frequency." msgstr "Nous créons un simple signal cosinus avec une fréquence spécifique." msgid "Qt widget 1" msgstr "" msgid "Zero-padding with \"next_pow2\" strategy" msgstr "Remplissage par zéro avec la stratégie \"next_pow2\"" msgid "The \"next_pow2\" strategy pads the signal to the next power of 2, which is optimal for FFT computations." msgstr "La stratégie \"next_pow2\" remplit le signal jusqu'à la prochaine puissance de 2, ce qui est optimal pour les calculs FFT." msgid "When using strategies other than \"custom\", you **must call** ``update_from_obj()`` to compute the number of padding points based on the actual signal size." msgstr "Lors de l'utilisation de stratégies autres que \"custom\", vous **devez appeler** ``update_from_obj()`` pour calculer le nombre de points de remplissage en fonction de la taille réelle du signal." msgid "Compare original and padded signals" msgstr "Comparer les signaux originaux et remplis" msgid "The padded signal has zeros appended at the end." msgstr "Le signal rempli a des zéros ajoutés à la fin." msgid "FFT comparison: improved frequency resolution" msgstr "Comparaison FFT : résolution en fréquence améliorée" msgid "Zero-padding improves the apparent frequency resolution of the FFT by interpolating between frequency bins." msgstr "Le remplissage par zéro améliore la résolution en fréquence apparente de la FFT en interpolant entre les bins de fréquence." msgid "Using different strategies" msgstr "Utilisation de différentes stratégies" msgid "The available strategies are:" msgstr "Les stratégies disponibles sont :" msgid "``\"next_pow2\"``: Pad to the next power of 2 (optimal for FFT)" msgstr "``\"next_pow2\"`` : Remplir jusqu'à la prochaine puissance de 2 (optimal pour la FFT)" msgid "``\"double\"``: Double the signal length" msgstr "``\"double\"`` : Doubler la longueur du signal" msgid "``\"triple\"``: Triple the signal length" msgstr "``\"triple\"`` : Tripler la longueur du signal" msgid "``\"custom\"``: Specify the exact number of points to add" msgstr "``\"custom\"`` : Spécifier le nombre exact de points à ajouter" msgid "Using \"custom\" strategy" msgstr "Utilisation de la stratégie \"custom\"" msgid "With the \"custom\" strategy, you specify the exact number of points. In this case, ``update_from_obj()`` is not strictly necessary (but harmless)." msgstr "Avec la stratégie \"custom\", vous spécifiez le nombre exact de points. Dans ce cas, ``update_from_obj()`` n'est pas strictement nécessaire (mais sans danger)." msgid "Choosing padding location" msgstr "Choix de l'emplacement du remplissage" msgid "Zero-padding can be applied at different locations:" msgstr "Le remplissage par zéro peut être appliqué à différents emplacements :" msgid "``\"append\"``: Add zeros at the end (default)" msgstr "``\"append\"`` : Ajouter des zéros à la fin (par défaut)" msgid "``\"prepend\"``: Add zeros at the beginning" msgstr "``\"prepend\"`` : Ajouter des zéros au début" msgid "``\"both\"``: Split zeros between beginning and end" msgstr "``\"both\"`` : Répartir les zéros entre le début et la fin" msgid ":download:`Download Jupyter notebook: zero_padding.ipynb `" msgstr "" msgid ":download:`Download Python source code: zero_padding.py `" msgstr "" msgid ":download:`Download zipped: zero_padding.zip `" msgstr "" msgid "`Gallery generated by Sphinx-Gallery `_" msgstr "`Galerie générée par Sphinx-Gallery `_" Sigima-1.1.1/doc/locale/fr/LC_MESSAGES/auto_examples/getting_started/000077500000000000000000000000001514013333200251535ustar00rootroot00000000000000Sigima-1.1.1/doc/locale/fr/LC_MESSAGES/auto_examples/getting_started/image_creation.po000066400000000000000000000166271514013333200304750ustar00rootroot00000000000000# SOME DESCRIPTIVE TITLE. # Copyright (C) 2025, DataLab Platform Developers # This file is distributed under the same license as the Sigima package. # FIRST AUTHOR , 2025. # #, fuzzy msgid "" msgstr "" "Project-Id-Version: Sigima \n" "Report-Msgid-Bugs-To: \n" "PO-Revision-Date: YEAR-MO-DA HO:MI+ZONE\n" "Language: fr\n" "Language-Team: fr \n" "Plural-Forms: nplurals=2; plural=(n > 1);\n" "MIME-Version: 1.0\n" "Content-Type: text/plain; charset=utf-8\n" "Content-Transfer-Encoding: 8bit\n" "Generated-By: Babel 2.17.0\n" msgid ":ref:`Go to the end ` to download the full example code." msgstr ":ref:`Aller à la fin ` pour télécharger l'exemple de code complet." msgid "Creating Images" msgstr "Création d'images" msgid "This example focuses on creating 2D image objects in Sigima." msgstr "Cet exemple se concentre sur la création d'objets images 2D dans Sigima." msgid "There are three primary methods to create images in Sigima:" msgstr "Il existe trois méthodes principales pour créer des images dans Sigima :" msgid "**Synthetic data generation**: Using built-in parameter classes to create standard" msgstr "**Génération de données synthétiques** : utilisation de classes de paramètres intégrées pour créer des" msgid "image types (Gaussian, ramp, random distributions, etc.)" msgstr "types d'images standards (gaussienne, rampe, distributions aléatoires, etc.)" msgid "**Loading from files**: Importing data from various file formats" msgstr "**Chargement depuis des fichiers** : importation de données depuis divers formats de fichiers" msgid "**From NumPy arrays**: Creating objects directly from existing arrays" msgstr "**Depuis des tableaux NumPy** : création d'objets directement depuis des tableaux existants" msgid "Each method has its use cases, and Sigima provides a consistent interface for working with data regardless of its origin." msgstr "Chaque méthode a ses cas d'usage, et Sigima fournit une interface cohérente pour travailler avec les données quelle que soit leur origine." msgid "For visualization, we use helper functions from the ``sigima.viz`` module. This allows us to focus on Sigima's functionality rather than visualization details." msgstr "Pour la visualisation, nous utilisons des fonctions auxiliaires du module ``sigima.viz``. Cela nous permet de nous concentrer sur les fonctionnalités de Sigima plutôt que sur les détails de visualisation." msgid "Importing necessary modules" msgstr "Import des modules nécessaires" msgid "First of all, we need to import the required modules." msgstr "Tout d'abord, nous devons importer les modules requis." msgid "Method 1: Creating images from synthetic parameters" msgstr "Méthode 1 : Création d'images à partir de paramètres synthétiques" msgid "Similar to signals, Sigima can generate synthetic images using parameter classes." msgstr "Comme pour les signaux, Sigima peut générer des images synthétiques à l'aide de classes de paramètres." msgid "Available image types include:" msgstr "Les types d'images disponibles incluent :" msgid "Distributions: Normal (Gaussian noise), Uniform, Poisson" msgstr "Distributions : normale (bruit gaussien), uniforme, Poisson" msgid "Analytical functions: 2D Gaussian, 2D ramp (bilinear form)" msgstr "Fonctions analytiques : gaussienne 2D, rampe 2D (forme bilinéaire)" msgid "Blank images: Zeros" msgstr "Images vierges : zéros" msgid "Qt widget 1" msgstr "" msgid "Method 2: Loading images from files" msgstr "Méthode 2 : Chargement d'images depuis des fichiers" msgid "Sigima supports a wide range of image file formats, both common and scientific." msgstr "Sigima prend en charge une large gamme de formats de fichiers image, à la fois courants et scientifiques." msgid "Supported formats include:" msgstr "Les formats pris en charge incluent :" msgid "Common formats: BMP, JPEG, PNG, TIFF, JPEG 2000" msgstr "Formats courants : BMP, JPEG, PNG, TIFF, JPEG 2000" msgid "Scientific formats: DICOM, Andor SIF, Spiricon, Dürr NDT" msgstr "Formats scientifiques : DICOM, Andor SIF, Spiricon, Dürr NDT" msgid "Data formats: NumPy (.npy), MATLAB (.mat), HDF5 (.h5img)" msgstr "Formats de données : NumPy (.npy), MATLAB (.mat), HDF5 (.h5img)" msgid "Text formats: CSV, TXT, ASC (with coordinate support)" msgstr "Formats texte : CSV, TXT, ASC (avec prise en charge des coordonnées)" msgid "Method 3: Creating images from NumPy arrays" msgstr "" msgid "Convert existing NumPy arrays into Sigima image objects to add metadata, coordinate systems, and enable advanced processing." msgstr "Convertir les tableaux NumPy existants en objets image Sigima pour ajouter des métadonnées, des systèmes de coordonnées et activer le traitement avancé." msgid "Summary" msgstr "Résumé" msgid "This example demonstrated the three main ways to create images in Sigima:" msgstr "Cet exemple a démontré les trois principales façons de créer des images dans Sigima :" msgid "**Synthetic generation**: Fast creation of standard mathematical functions and distributions using parameter classes. Perfect for testing and simulation." msgstr "**Génération synthétique** : création rapide de fonctions mathématiques standards et de distributions à l'aide de classes de paramètres. Parfait pour les tests et la simulation." msgid "**File loading**: Read data from various scientific and common file formats, with automatic format detection and metadata extraction. Essential for working with experimental data." msgstr "**Chargement de fichiers** : lecture de données depuis divers formats de fichiers scientifiques et courants, avec détection automatique du format et extraction des métadonnées. Essentiel pour travailler avec des données expérimentales." msgid "**NumPy array conversion**: Wrap existing array data with Sigima's rich metadata and processing capabilities. Ideal for custom workflows and integration with other Python libraries." msgstr "**Conversion de tableaux NumPy** : encapsulation de données de tableaux existants avec les riches métadonnées et capacités de traitement de Sigima. Idéal pour les flux de travail personnalisés et l'intégration avec d'autres bibliothèques Python." msgid "All three methods produce equivalent Sigima objects that can be processed, analyzed, and visualized using the same set of tools and functions. Choose the method that best fits your workflow and data source." msgstr "Les trois méthodes produisent des objets Sigima équivalents qui peuvent être traités, analysés et visualisés en utilisant le même ensemble d'outils et de fonctions. Choisissez la méthode qui correspond le mieux à votre flux de travail et à votre source de données." msgid ":download:`Download Jupyter notebook: image_creation.ipynb `" msgstr ":download:`Télécharger le notebook Jupyter : image_creation.ipynb `" msgid ":download:`Download Python source code: image_creation.py `" msgstr ":download:`Télécharger le code source Python : image_creation.py `" msgid ":download:`Download zipped: image_creation.zip `" msgstr ":download:`Télécharger compressé : image_creation.zip `" msgid "`Gallery generated by Sphinx-Gallery `_" msgstr "`Galerie générée par Sphinx-Gallery `_" Sigima-1.1.1/doc/locale/fr/LC_MESSAGES/auto_examples/getting_started/index.po000066400000000000000000000013741514013333200266270ustar00rootroot00000000000000# SOME DESCRIPTIVE TITLE. # Copyright (C) 2025, DataLab Platform Developers # This file is distributed under the same license as the Sigima package. # FIRST AUTHOR , 2025. # #, fuzzy msgid "" msgstr "" "Project-Id-Version: Sigima \n" "Report-Msgid-Bugs-To: \n" "PO-Revision-Date: YEAR-MO-DA HO:MI+ZONE\n" "Language: fr\n" "Language-Team: fr \n" "Plural-Forms: nplurals=2; plural=(n > 1);\n" "MIME-Version: 1.0\n" "Content-Type: text/plain; charset=utf-8\n" "Content-Transfer-Encoding: 8bit\n" "Generated-By: Babel 2.17.0\n" msgid "Getting Started" msgstr "Premiers pas" msgid ":ref:`sphx_glr_auto_examples_getting_started_image_creation.py`" msgstr "" msgid ":ref:`sphx_glr_auto_examples_getting_started_signal_creation.py`" msgstr "" Sigima-1.1.1/doc/locale/fr/LC_MESSAGES/auto_examples/getting_started/signal_creation.po000066400000000000000000000230611514013333200306560ustar00rootroot00000000000000# SOME DESCRIPTIVE TITLE. # Copyright (C) 2025, DataLab Platform Developers # This file is distributed under the same license as the Sigima package. # FIRST AUTHOR , 2025. # #, fuzzy msgid "" msgstr "" "Project-Id-Version: Sigima \n" "Report-Msgid-Bugs-To: \n" "PO-Revision-Date: YEAR-MO-DA HO:MI+ZONE\n" "Language: fr\n" "Language-Team: fr \n" "Plural-Forms: nplurals=2; plural=(n > 1);\n" "MIME-Version: 1.0\n" "Content-Type: text/plain; charset=utf-8\n" "Content-Transfer-Encoding: 8bit\n" "Generated-By: Babel 2.17.0\n" msgid ":ref:`Go to the end ` to download the full example code." msgstr ":ref:`Aller à la fin ` pour télécharger l'exemple de code complet." msgid "Creating Signals" msgstr "Création de signaux" msgid "This example focuses on creating 1D signal objects in Sigima." msgstr "Cet exemple se concentre sur la création d'objets signaux 1D dans Sigima." msgid "There are three primary methods to create signals in Sigima:" msgstr "Il existe trois méthodes principales pour créer des signaux dans Sigima :" msgid "**Synthetic data generation**: Using built-in parameter classes to create standard" msgstr "**Génération de données synthétiques** : utilisation de classes de paramètres intégrées pour créer des" msgid "signal types (Gaussian, sine waves, random distributions, etc.)" msgstr "types de signaux standards (gaussienne, ondes sinusoïdales, distributions aléatoires, etc.)" msgid "**Loading from files**: Importing data from various file formats" msgstr "**Chargement depuis des fichiers** : importation de données depuis divers formats de fichiers" msgid "**From NumPy arrays**: Creating objects directly from existing arrays" msgstr "**Depuis des tableaux NumPy** : création d'objets directement depuis des tableaux existants" msgid "Each method has its use cases, and Sigima provides a consistent interface for working with data regardless of its origin." msgstr "Chaque méthode a ses cas d'usage, et Sigima fournit une interface cohérente pour travailler avec les données quelle que soit leur origine." msgid "For visualization, we use helper functions from the ``sigima.viz`` module. This allows us to focus on Sigima's functionality rather than visualization details." msgstr "Pour la visualisation, nous utilisons des fonctions auxiliaires du module ``sigima.viz``. Cela nous permet de nous concentrer sur les fonctionnalités de Sigima plutôt que sur les détails de visualisation." msgid "Importing necessary modules" msgstr "Import des modules nécessaires" msgid "First of all, we need to import the required modules." msgstr "Tout d'abord, nous devons importer les modules requis." msgid "Method 1: Creating signals from synthetic parameters" msgstr "Méthode 1 : Création de signaux à partir de paramètres synthétiques" msgid "Sigima provides built-in generators for common signal types. This is the most convenient method when you need standard mathematical functions or random distributions." msgstr "Sigima fournit des générateurs intégrés pour les types de signaux courants. C'est la méthode la plus pratique lorsque vous avez besoin de fonctions mathématiques standards ou de distributions aléatoires." msgid "Available signal types include:" msgstr "Les types de signaux disponibles incluent :" msgid "Mathematical functions: Gaussian, Lorentzian, Sinc, Sine, Cosine, etc." msgstr "Fonctions mathématiques : gaussienne, lorentzienne, sinc, sinus, cosinus, etc." msgid "Random distributions: Normal, Uniform, Poisson" msgstr "Distributions aléatoires : normale, uniforme, Poisson" msgid "Standard waveforms: Square, Sawtooth, Triangle" msgstr "Formes d'ondes standards : carrée, en dents de scie, triangulaire" msgid "Special functions: Planck (blackbody), Linear chirp, Step, Exponential" msgstr "Fonctions spéciales : Planck (corps noir), chirp linéaire, échelon, exponentielle" msgid "Qt widget 1" msgstr "" msgid "Method 2: Loading signals from files" msgstr "Méthode 2 : Chargement de signaux depuis des fichiers" msgid "Sigima can read signals from various file formats, automatically detecting the format and extracting metadata when available." msgstr "Sigima peut lire des signaux depuis divers formats de fichiers, en détectant automatiquement le format et en extrayant les métadonnées lorsqu'elles sont disponibles." msgid "Supported formats include:" msgstr "Les formats pris en charge incluent :" msgid "Text files: CSV, TXT (with automatic delimiter detection)" msgstr "Fichiers texte : CSV, TXT (avec détection automatique du délimiteur)" msgid "Scientific formats: HDF5 (.h5sig), MAT-Files (.mat), NumPy (.npy)" msgstr "Formats scientifiques : HDF5 (.h5sig), MAT-Files (.mat), NumPy (.npy)" msgid "Specialized: MCA spectrum files (.mca), FT-Lab (.sig)" msgstr "Spécialisés : fichiers de spectre MCA (.mca), FT-Lab (.sig)" msgid "Qt widget 2" msgstr "" msgid "It is interesting to remark here that when importing data from files, Sigima automatically extracts and preserves metadata when possible. This includes:" msgstr "Il est intéressant de noter ici que lors de l'importation de données depuis des fichiers, Sigima extrait et préserve automatiquement les métadonnées lorsque c'est possible. Cela inclut :" msgid "**Axis labels and units**: Column headers from CSV files, variable names from MAT-Files, etc." msgstr "**Étiquettes et unités des axes** : en-têtes de colonnes des fichiers CSV, noms de variables des MAT-Files, etc." msgid "**Acquisition parameters**: DICOM headers, instrument settings, timestamps" msgstr "**Paramètres d'acquisition** : en-têtes DICOM, paramètres d'instruments, horodatages" msgid "**Physical coordinates**: Pixel spacing, origin coordinates when stored in the file" msgstr "**Coordonnées physiques** : espacement des pixels, coordonnées d'origine lorsqu'elles sont stockées dans le fichier" msgid "The extracted metadata is seamlessly integrated into the signal or image object, making it available for processing, analysis, and visualization without manual configuration." msgstr "Les métadonnées extraites sont intégrées de manière transparente dans l'objet signal ou image, les rendant disponibles pour le traitement, l'analyse et la visualisation sans configuration manuelle." msgid "Method 3: Creating signals from NumPy arrays" msgstr "Méthode 3 : Création de signaux à partir de tableaux NumPy" msgid "When you already have data in NumPy arrays (from calculations, other libraries, or custom data sources), you can wrap them in Sigima signal objects to benefit from metadata handling and processing functions." msgstr "Lorsque vous avez déjà des données dans des tableaux NumPy (provenant de calculs, d'autres bibliothèques ou de sources de données personnalisées), vous pouvez les encapsuler dans des objets signaux Sigima pour bénéficier de la gestion des métadonnées et des fonctions de traitement." msgid "Summary" msgstr "Résumé" msgid "This example demonstrated the three main ways to create signals in Sigima:" msgstr "Cet exemple a démontré les trois principales façons de créer des signaux dans Sigima :" msgid "**Synthetic generation**: Fast creation of standard mathematical functions and distributions using parameter classes. Perfect for testing and simulation." msgstr "**Génération synthétique** : création rapide de fonctions mathématiques standards et de distributions à l'aide de classes de paramètres. Parfait pour les tests et la simulation." msgid "**File loading**: Read data from various scientific and common file formats, with automatic format detection and metadata extraction. Essential for working with experimental data." msgstr "**Chargement de fichiers** : lecture de données depuis divers formats de fichiers scientifiques et courants, avec détection automatique du format et extraction des métadonnées. Essentiel pour travailler avec des données expérimentales." msgid "**NumPy array conversion**: Wrap existing array data with Sigima's rich metadata and processing capabilities. Ideal for custom workflows and integration with other Python libraries." msgstr "**Conversion de tableaux NumPy** : encapsulation de données de tableaux existants avec les riches métadonnées et capacités de traitement de Sigima. Idéal pour les flux de travail personnalisés et l'intégration avec d'autres bibliothèques Python." msgid "All three methods produce equivalent Sigima objects that can be processed, analyzed, and visualized using the same set of tools and functions. Choose the method that best fits your workflow and data source." msgstr "Les trois méthodes produisent des objets Sigima équivalents qui peuvent être traités, analysés et visualisés en utilisant le même ensemble d'outils et de fonctions. Choisissez la méthode qui correspond le mieux à votre flux de travail et à votre source de données." msgid ":download:`Download Jupyter notebook: signal_creation.ipynb `" msgstr ":download:`Télécharger le notebook Jupyter : signal_creation.ipynb `" msgid ":download:`Download Python source code: signal_creation.py `" msgstr ":download:`Télécharger le code source Python : signal_creation.py `" msgid ":download:`Download zipped: signal_creation.zip `" msgstr ":download:`Télécharger compressé : signal_creation.zip `" msgid "`Gallery generated by Sphinx-Gallery `_" msgstr "`Galerie générée par Sphinx-Gallery `_" Sigima-1.1.1/doc/locale/fr/LC_MESSAGES/auto_examples/index.po000066400000000000000000000063121514013333200234350ustar00rootroot00000000000000# SOME DESCRIPTIVE TITLE. # Copyright (C) 2025, DataLab Platform Developers # This file is distributed under the same license as the Sigima package. # FIRST AUTHOR , 2025. # #, fuzzy msgid "" msgstr "" "Project-Id-Version: Sigima \n" "Report-Msgid-Bugs-To: \n" "PO-Revision-Date: YEAR-MO-DA HO:MI+ZONE\n" "Language: fr\n" "Language-Team: fr \n" "Plural-Forms: nplurals=2; plural=(n > 1);\n" "MIME-Version: 1.0\n" "Content-Type: text/plain; charset=utf-8\n" "Content-Transfer-Encoding: 8bit\n" "Generated-By: Babel 2.17.0\n" msgid "Examples" msgstr "Exemples" msgid "This section presents a collection of examples demonstrating the capabilities of Sigima. Each example is a standalone Python script that showcases specific features or use cases of the Sigima library, along with visualizations of the results (using the `sigima.viz` module with the `PlotPyStack `_ backend)." msgstr "Cette section présente une collection d'exemples démontrant les capacités de Sigima. Chaque exemple est un script Python autonome qui met en avant des fonctionnalités ou des cas d'utilisation spécifiques de la bibliothèque Sigima, accompagnés de visualisations des résultats (en utilisant le module `sigima.viz` avec le backend `PlotPyStack `_)." msgid "Of course, some of these examples may seem trivial, but they serve to illustrate how to use various functionalities of Sigima in a clear and concise manner." msgstr "Bien sûr, certains de ces exemples peuvent sembler triviaux, mais ils servent à illustrer comment utiliser diverses fonctionnalités de Sigima de manière claire et concise." msgid "These examples are automatically generated when building the documentation, thus ensuring that they are always up-to-date with the latest version of Sigima." msgstr "Ces exemples sont générés automatiquement lors de la construction de la documentation, garantissant ainsi qu'ils sont toujours fonctionnels avec la dernière version de Sigima." msgid "Getting Started" msgstr "Premiers pas" msgid ":ref:`sphx_glr_auto_examples_getting_started_image_creation.py`" msgstr "" msgid ":ref:`sphx_glr_auto_examples_getting_started_signal_creation.py`" msgstr "" msgid "Use Cases" msgstr "Cas d'usage" msgid ":ref:`sphx_glr_auto_examples_use_cases_blob_detection.py`" msgstr "" msgid ":ref:`sphx_glr_auto_examples_use_cases_fabry_perot.py`" msgstr "" msgid ":ref:`sphx_glr_auto_examples_use_cases_laser_beam.py`" msgstr "" msgid ":ref:`sphx_glr_auto_examples_use_cases_spectrum_analysis.py`" msgstr "" msgid "Various Features" msgstr "Fonctionnalités diverses" msgid ":ref:`sphx_glr_auto_examples_features_convolution.py`" msgstr "" msgid ":ref:`sphx_glr_auto_examples_features_datalab_client.py`" msgstr "" msgid ":ref:`sphx_glr_auto_examples_features_datetime_signals.py`" msgstr "" msgid ":ref:`sphx_glr_auto_examples_features_roi_grid.py`" msgstr "" msgid ":ref:`sphx_glr_auto_examples_features_coordinate_systems.py`" msgstr "" msgid ":ref:`sphx_glr_auto_examples_features_zero_padding.py`" msgstr "" msgid "`Gallery generated by Sphinx-Gallery `_" msgstr "`Galerie générée par Sphinx-Gallery `_" Sigima-1.1.1/doc/locale/fr/LC_MESSAGES/auto_examples/use_cases/000077500000000000000000000000001514013333200237365ustar00rootroot00000000000000Sigima-1.1.1/doc/locale/fr/LC_MESSAGES/auto_examples/use_cases/blob_detection.po000066400000000000000000000206041514013333200272540ustar00rootroot00000000000000# SOME DESCRIPTIVE TITLE. # Copyright (C) 2025, DataLab Platform Developers # This file is distributed under the same license as the Sigima package. # FIRST AUTHOR , 2025. # msgid "" msgstr "" "Project-Id-Version: Sigima \n" "Report-Msgid-Bugs-To: \n" "PO-Revision-Date: YEAR-MO-DA HO:MI+ZONE\n" "Language: fr\n" "Language-Team: fr \n" "Plural-Forms: nplurals=2; plural=(n > 1);\n" "MIME-Version: 1.0\n" "Content-Type: text/plain; charset=utf-8\n" "Content-Transfer-Encoding: 8bit\n" "Generated-By: Babel 2.17.0\n" msgid ":ref:`Go to the end ` to download the full example code." msgstr ":ref:`Aller à la fin ` pour télécharger le code complet de l'exemple." msgid "Blob Detection" msgstr "Détection de taches" msgid "This example demonstrates blob detection techniques available in Sigima for analyzing circular or blob-like features in images. It shows how to generate apply preprocessing filters and detect blobs using OpenCV-based algorithms with fine-tuned parameters for optimal results." msgstr "Cet exemple illustre les techniques de détection de taches disponibles dans Sigima pour analyser des structures circulaires ou en amas dans des images. Il montre comment générer des filtres de prétraitement et détecter des taches à l'aide d'algorithmes basés sur OpenCV, avec des paramètres ajustés pour obtenir des résultats optimaux." msgid "The script demonstrates image processing workflows commonly used in microscopy, particle analysis, and feature detection applications." msgstr "Le script présente des chaînes de traitement d'image couramment utilisées en microscopie, en analyse de particules et dans les applications de détection de caractéristiques." msgid "Importing necessary modules" msgstr "On importe les modules nécessaires" msgid "We start by importing all the required modules for image processing and visualization. To run this example, ensure you have all the required dependencies installed." msgstr "On commence par importer tous les modules nécessaires au traitement d'image et à la visualisation. Pour exécuter cet exemple, on vérifie que l'ensemble des dépendances requises est installé." msgid "Generate synthetic test image with known blobs" msgstr "Générer une image de test synthétique avec des taches connues" msgid "We create a synthetic image with a noisy background and several circular blobs of varying sizes and intensities. This allows us to validate the blob detection algorithms effectively. To perform this task, we use a function: the detailes of this is out of the scope of this tutorial: once you have learned how to use Sigima, you will be able to use the library on your own data." msgstr "On crée une image synthétique avec un bruit de fond et plusieurs taches circulaires de tailles et d'intensités variées. Cette configuration permet de valider efficacement les algorithmes de détection de taches. Pour réaliser cette tâche, on utilise une fonction dédiée dont les détails dépassent le cadre de ce tutoriel ; une fois que vous maîtriserez Sigima, vous pourrez appliquer la bibliothèque à vos propres données." msgid "Visualize the original image" msgstr "Visualiser l'image originale" msgid "We visualize the original synthetic image to understand its characteristics before applying any processing or blob detection. This can be done with your preferred image viewer (i.e. plotpy, matplotlib, ...). The preference of Sigima developers is on plotpy, a library developed with performance in mind." msgstr "On visualise l'image synthétique originale pour en apprécier les caractéristiques avant tout traitement ou détection de blobs. On peut utiliser la visionneuse d'images de son choix (par exemple plotpy, matplotlib, ...). Les développeurs de Sigima privilégient plotpy, une bibliothèque conçue pour la performance." msgid "We wrapped a simple function to do perform visualizations tasks required for this and other tutorials, to help reducing the impact of GUI code in documentation and let you concentrate in the analysis" msgstr "On a encapsulé une fonction simple pour réaliser les visualisations nécessaires à ce tutoriel et aux autres, afin de limiter l'impact du code lié à l'interface graphique dans la documentation et de vous laisser vous concentrer sur l'analyse." msgid "Qt widget 1" msgstr "" msgid "Image preprocessing - Binning" msgstr "Prétraitement d'image - binning" msgid "Looking to our image, we can see that the blobs we look for are large respect to the pixel size. A binning process can help to reduce the importance of the noise." msgstr "Observez l'image : les taches recherchées sont grandes par rapport à la taille des pixels. Un binning aide à réduire l'importance du bruit." msgid "Additional preprocessing - Moving median filter" msgstr "Prétraitement supplémentaire - filtre médian glissant" msgid "The result of the binning is good, but we can imagine to not be happy with that. A different approach we can take is to apply a moving median filter, to reduce the importance of the spikes. We do it with a window of 5, of curse in practice different window sizes can be tested to find the good compromise between noise reduction and resolution. Lets see how to do that." msgstr "Le résultat du binning est satisfaisant, mais il est possible de vouloir aller plus loin. On applique alors un filtre médian glissant pour atténuer les pics. On utilise ici une fenêtre de 5 ; en pratique, on teste différentes tailles de fenêtre pour trouver le bon compromis entre réduction du bruit et résolution. Voyons comment procéder." msgid "Configure blob detection parameters" msgstr "Configurer les paramètres de détection de taches" msgid "We are happy with the filtered image, we can now proceed to the blob detection. First of all we need to configure the parameters of the detection algorithm: this is very important to get good results. In this example, you find an overview of the parameters that can be tuned." msgstr "On valide l'image filtrée et on passe à la détection de taches. On commence par configurer les paramètres de l'algorithme de détection, étape essentielle pour obtenir de bons résultats. Cet exemple offre une vue d'ensemble des paramètres ajustables." msgid "Create blob detection parameter object:" msgstr "Créer l'objet de paramètres de détection de taches :" msgid "Threshold parameters for blob detection:" msgstr "Paramètres de seuil pour la détection de taches :" msgid "Minimum repeatability (how many times a blob center is detected):" msgstr "Répétabilité minimale (nombre de fois où le centre d'une tache est détecté) :" msgid "Color filtering (not used for grayscale):" msgstr "Filtrage sur la couleur (non utilisé en niveaux de gris) :" msgid "Area filtering to select appropriate blob sizes:" msgstr "Filtrage sur la surface pour sélectionner les tailles de taches adaptées :" msgid "Circularity filtering to prefer round objects:" msgstr "Filtrage sur la circularité pour privilégier les objets ronds :" msgid "Disable inertia and convexity filtering for this example:" msgstr "Désactiver le filtrage sur l'inertie et la convexité pour cet exemple :" msgid "We finally print configured parameters:" msgstr "On affiche enfin les paramètres configurés :" msgid "Perform blob detection" msgstr "Exécuter la détection de taches" msgid "We can now perform the blob detection on the preprocessed image using the configured parameters." msgstr "On peut maintenant lancer la détection de taches sur l'image prétraitée avec les paramètres configurés." msgid "We print the detected blobs and their properties:" msgstr "On affiche les taches détectées et leurs propriétés :" msgid ":download:`Download Jupyter notebook: blob_detection.ipynb `" msgstr ":download:`Télécharger le notebook Jupyter : blob_detection.ipynb `" msgid ":download:`Download Python source code: blob_detection.py `" msgstr ":download:`Télécharger le code source Python : blob_detection.py `" msgid ":download:`Download zipped: blob_detection.zip `" msgstr ":download:`Télécharger l'archive : blob_detection.zip `" msgid "`Gallery generated by Sphinx-Gallery `_" msgstr "`Galerie générée par Sphinx-Gallery `_" Sigima-1.1.1/doc/locale/fr/LC_MESSAGES/auto_examples/use_cases/convolution.po000066400000000000000000000067301514013333200266630ustar00rootroot00000000000000# SOME DESCRIPTIVE TITLE. # Copyright (C) 2025, DataLab Platform Developers # This file is distributed under the same license as the Sigima package. # FIRST AUTHOR , 2025. # #, fuzzy msgid "" msgstr "" "Project-Id-Version: Sigima \n" "Report-Msgid-Bugs-To: \n" "PO-Revision-Date: YEAR-MO-DA HO:MI+ZONE\n" "Language: fr\n" "Language-Team: fr \n" "Plural-Forms: nplurals=2; plural=(n > 1);\n" "MIME-Version: 1.0\n" "Content-Type: text/plain; charset=utf-8\n" "Content-Transfer-Encoding: 8bit\n" "Generated-By: Babel 2.17.0\n" msgid ":ref:`Go to the end ` to download the full example code." msgstr "" msgid "Image Blurring and Sharpening with Convolution" msgstr "" msgid "This example demonstrates the image convolution and deconvolution features available in Sigima, showing various kernels and their effects on images. Each section builds upon the previous one to create a comprehensive understanding of convolution operations." msgstr "" msgid "The example shows:" msgstr "" msgid "Creating test images and kernels" msgstr "" msgid "Basic convolution with Gaussian kernel" msgstr "" msgid "Identity convolution (preserving original image)" msgstr "" msgid "Deconvolution operations" msgstr "" msgid "Effects of different kernel parameters" msgstr "" msgid "Custom edge detection and sharpening kernels" msgstr "" msgid "This tutorial uses PlotPy for visualization, providing interactive plots that allow you to explore the convolution results in detail." msgstr "" msgid "Importing necessary modules" msgstr "" msgid "We'll start by importing all the required modules for image processing and visualization." msgstr "" msgid "We start by creating a test image and various convolution kernels." msgstr "" msgid "Qt widget 1" msgstr "" msgid "Now we'll perform convolution with the Gaussian kernel and compare the result with scipy's implementation to verify correctness." msgstr "" msgid "Identity convolution" msgstr "" msgid "Identity convolution should preserve the original image exactly. This demonstrates that our convolution implementation is working correctly." msgstr "" msgid "Deconvolution with identity kernel" msgstr "" msgid "Deconvolution is the inverse operation of convolution. We'll start with a simple case using the identity kernel." msgstr "" msgid "Advanced deconvolution with Gaussian kernel" msgstr "" msgid "Now we'll try deconvolution with a Gaussian kernel, which is more challenging and demonstrates the limitations of deconvolution." msgstr "" msgid "Exploring different kernel parameters" msgstr "" msgid "Different sigma values in Gaussian kernels produce different blurring effects. Let's compare several sigma values side by side." msgstr "" msgid "Qt widget 2" msgstr "" msgid "Custom convolution kernels" msgstr "" msgid "Besides Gaussian kernels, we can create custom kernels for specific image processing tasks like edge detection and sharpening." msgstr "" msgid "Summary and conclusions" msgstr "" msgid "This tutorial demonstrated the key concepts of convolution and deconvolution in image processing using Sigima." msgstr "" msgid ":download:`Download Jupyter notebook: convolution.ipynb `" msgstr "" msgid ":download:`Download Python source code: convolution.py `" msgstr "" msgid ":download:`Download zipped: convolution.zip `" msgstr "" msgid "`Gallery generated by Sphinx-Gallery `_" msgstr "" Sigima-1.1.1/doc/locale/fr/LC_MESSAGES/auto_examples/use_cases/fabry_perot.po000066400000000000000000000152421514013333200266160ustar00rootroot00000000000000# SOME DESCRIPTIVE TITLE. # Copyright (C) 2025, DataLab Platform Developers # This file is distributed under the same license as the Sigima package. # FIRST AUTHOR , 2025. # #, fuzzy msgid "" msgstr "" "Project-Id-Version: Sigima \n" "Report-Msgid-Bugs-To: \n" "PO-Revision-Date: YEAR-MO-DA HO:MI+ZONE\n" "Language: fr\n" "Language-Team: fr \n" "Plural-Forms: nplurals=2; plural=(n > 1);\n" "MIME-Version: 1.0\n" "Content-Type: text/plain; charset=utf-8\n" "Content-Transfer-Encoding: 8bit\n" "Generated-By: Babel 2.17.0\n" msgid ":ref:`Go to the end ` to download the full example code." msgstr ":ref:`Aller à la fin ` pour télécharger le code complet de l'exemple." msgid "Fabry-Perot Interference Pattern" msgstr "Franges d'interférence de Fabry-Perot" msgid "This example demonstrates image processing techniques for analyzing Fabry-Perot interference patterns. It shows how to load experimental images, define regions of interest, detect circular contours, and extract intensity profiles for quantitative analysis of interference fringes." msgstr "Ce tutoriel présente des techniques de traitement d'image pour analyser les franges d'interférence de Fabry-Perot. On y montre comment charger des images expérimentales, définir des régions d'intérêt, détecter des contours circulaires et extraire des profils d'intensité pour analyser quantitativement les franges." msgid "Usage:" msgstr "Utilisation :" msgid "python fabry_perot_example.py" msgstr "" msgid "The script demonstrates optical analysis workflows commonly used in interferometry, optical metrology, and precision measurements." msgstr "Ce script illustre des flux d'analyse optique couramment utilisés en interférométrie, en métrologie optique et en mesures de précision." msgid "Importing necessary modules" msgstr "Importer les modules nécessaires" msgid "We start by importing all the required modules for image processing and visualization. To run this example, ensure you have all the required dependencies installed." msgstr "On commence par importer tous les modules nécessaires au traitement d'image et à la visualisation. Pour exécuter cet exemple, assurez-vous que toutes les dépendances requises sont installées." msgid "Load Fabry-Perot test images" msgstr "Charger les images d'essai Fabry-Perot" msgid "We load two sample image of Fabry-Perot interference patterns. These imags is included in the Sigima test data. We will analyze the interference fringes present in these images." msgstr "On charge deux images d'exemple de franges d'interférence de Fabry-Perot. Elles sont fournies avec les données de test de Sigima. On analysera les franges d'interférence présentes dans ces images." msgid "Qt widget 1" msgstr "" msgid "Define circular ROI for fringe analysis" msgstr "Définir une ROI circulaire pour l'analyse des franges" msgid "We define a circular region of interest (ROI) centered on the image to focus our analysis on the central interference fringes." msgstr "On définit une région d'intérêt (ROI) circulaire centrée sur l'image pour concentrer l'analyse sur les franges d'interférence centrales." msgid "Configure contour detection for circular fringes" msgstr "Configurer la détection de contours circulaires" msgid "We can now detect circular contours in the defined ROI. This will help us identify the interference rings. To perform this, the first step is to set up the contour detection parameter." msgstr "On peut maintenant détecter des contours circulaires dans la ROI définie. Cela permet d'identifier les anneaux d'interférence. Pour ce faire, la première étape consiste à paramétrer la détection de contours." msgid "We can now perform the contour detection on the image using the configured parameters." msgstr "On peut ensuite exécuter la détection de contours sur l'image à l'aide des paramètres définis." msgid "We can now print the detected circular contours and their properties" msgstr "On peut afficher les contours circulaires détectés ainsi que leurs propriétés" msgid "Extract horizontal intensity profile" msgstr "Extraire le profil d'intensité horizontal" msgid "We can extract an intensity profile along a horizontal line through the center of the image. This profile will show the intensity variations across the interference fringes. As before, we need to set up the line profile extraction parameter." msgstr "On peut extraire un profil d'intensité le long d'une ligne horizontale passant par le centre de l'image. Ce profil met en évidence les variations d'intensité au travers des franges d'interférence. Comme précédemment, il faut paramétrer l'extraction du profil linéaire." msgid "Load the second Fabry-Perot image" msgstr "Charger la deuxième image Fabry-Perot" msgid "We want now to load the Analyze second Fabry-Perot image" msgstr "On souhaite maintenant charger et analyser la deuxième image Fabry-Perot" msgid "Contour detection on second image" msgstr "Détecter les contours sur la deuxième image" msgid "To perform the contour detection on the second image, we can reuse the same contour detection parameters defined earlier. This technique, applied to multiple images, allow to perform the same analysis on each of them and make comparisons easier." msgstr "Pour effectuer la détection des contours sur la deuxième image, on peut réutiliser les mêmes paramètres de détection définis précédemment. Cette technique, appliquée à plusieurs images, permet de répéter la même analyse et de faciliter les comparaisons." msgid "Extract profile from second image and compare both profiles" msgstr "Extraire le profil de la deuxième image et comparer les deux profils" msgid "We can extract the horizontal intensity profile from the second image using the same profile extraction parameters defined earlier." msgstr "On peut extraire le profil d'intensité horizontal de la deuxième image en réutilisant les paramètres d'extraction définis précédemment." msgid ":download:`Download Jupyter notebook: fabry_perot.ipynb `" msgstr ":download:`Télécharger le notebook Jupyter : fabry_perot.ipynb `" msgid ":download:`Download Python source code: fabry_perot.py `" msgstr ":download:`Télécharger le code source Python : fabry_perot.py `" msgid ":download:`Download zipped: fabry_perot.zip `" msgstr ":download:`Télécharger l'archive zip : fabry_perot.zip `" msgid "`Gallery generated by Sphinx-Gallery `_" msgstr "`Galerie générée par Sphinx-Gallery `_" Sigima-1.1.1/doc/locale/fr/LC_MESSAGES/auto_examples/use_cases/index.po000066400000000000000000000015771514013333200254170ustar00rootroot00000000000000# SOME DESCRIPTIVE TITLE. # Copyright (C) 2025, DataLab Platform Developers # This file is distributed under the same license as the Sigima package. # FIRST AUTHOR , 2025. # #, fuzzy msgid "" msgstr "" "Project-Id-Version: Sigima \n" "Report-Msgid-Bugs-To: \n" "PO-Revision-Date: YEAR-MO-DA HO:MI+ZONE\n" "Language: fr\n" "Language-Team: fr \n" "Plural-Forms: nplurals=2; plural=(n > 1);\n" "MIME-Version: 1.0\n" "Content-Type: text/plain; charset=utf-8\n" "Content-Transfer-Encoding: 8bit\n" "Generated-By: Babel 2.17.0\n" msgid "Use Cases" msgstr "Cas d'usage" msgid ":ref:`sphx_glr_auto_examples_use_cases_blob_detection.py`" msgstr "" msgid ":ref:`sphx_glr_auto_examples_use_cases_fabry_perot.py`" msgstr "" msgid ":ref:`sphx_glr_auto_examples_use_cases_laser_beam.py`" msgstr "" msgid ":ref:`sphx_glr_auto_examples_use_cases_spectrum_analysis.py`" msgstr "" Sigima-1.1.1/doc/locale/fr/LC_MESSAGES/auto_examples/use_cases/laser_beam.po000066400000000000000000000231161514013333200263730ustar00rootroot00000000000000# SOME DESCRIPTIVE TITLE. # Copyright (C) 2025, DataLab Platform Developers # This file is distributed under the same license as the Sigima package. # FIRST AUTHOR , 2025. # #, fuzzy msgid "" msgstr "" "Project-Id-Version: Sigima \n" "Report-Msgid-Bugs-To: \n" "PO-Revision-Date: YEAR-MO-DA HO:MI+ZONE\n" "Language: fr\n" "Language-Team: fr \n" "Plural-Forms: nplurals=2; plural=(n > 1);\n" "MIME-Version: 1.0\n" "Content-Type: text/plain; charset=utf-8\n" "Content-Transfer-Encoding: 8bit\n" "Generated-By: Babel 2.17.0\n" msgid ":ref:`Go to the end ` to download the full example code." msgstr ":ref:`Aller à la fin ` pour télécharger le code complet de l'exemple." msgid "Laser Beam Size Measurement Example" msgstr "Analyser la taille d'un faisceau laser" msgid "This example demonstrates comprehensive laser beam analysis techniques following the laser beam tutorial workflow. It shows how to load multiple laser beam images, analyze background noise with histograms, apply proper clipping, detect beam centroids, extract line and radial profiles, compute FWHM measurements, and track beam size evolution along the propagation axis." msgstr "Ce tutoriel présente des techniques complètes d'analyse de faisceau laser en suivant le déroulé du guide. On y montre comment charger plusieurs images de faisceau, analyser le bruit de fond avec des histogrammes, appliquer un seuillage adapté, détecter les centroïdes, extraire des profils linéaires et radiaux, calculer des mesures de FWHM et suivre l'évolution de la taille du faisceau le long de l'axe de propagation." msgid "The script demonstrates advanced optical beam characterization workflows commonly used in laser physics, beam quality assessment, and optical system design." msgstr "Ce script illustre des procédés avancés de caractérisation optique couramment utilisés en physique des lasers, pour qualifier un faisceau et concevoir des systèmes optiques." msgid "Importing necessary modules" msgstr "Importer les modules nécessaires" msgid "We start by importing all the required modules for image processing and visualization. To run this example, ensure you have all the required dependencies installed." msgstr "On commence par importer tous les modules nécessaires au traitement d'image et à la visualisation. Pour exécuter cet exemple, assurez-vous que toutes les dépendances requises sont installées." msgid "Load all laser beam images" msgstr "Charger toutes les images du faisceau laser" msgid "We load a series of laser beam images taken at different positions along the propagation axis (z-axis). The images are contained in the folder laser_beam and named following the pattern TEM00_z_*.jpg, where * is the z position in arbitrary units." msgstr "On charge une série d'images de faisceau laser prises à différentes positions le long de l'axe de propagation (axe z). Les images se trouvent dans le dossier laser_beam et respectent le motif TEM00_z_*.jpg, où * est la position z en unités arbitraires." msgid "Visualize the first few images" msgstr "Visualiser les premières images" msgid "Qt widget 1" msgstr "" msgid "Background noise analysis with histogram" msgstr "Analyser le bruit de fond avec un histogramme" msgid "To analyze the background noise characteristics of the laser beam images, we create a histogram of pixel values from the first image. This helps us identify the noise floor and determine an appropriate clipping threshold." msgstr "Pour analyser le bruit de fond des images du faisceau, on crée un histogramme des valeurs de pixels à partir de la première image. Cela nous aide à identifier le niveau de bruit et à fixer un seuil de seuillage adapté." msgid "Based on the histogram analysis, we determine a clipping threshold around 30-35 LSB to effectively remove background noise from all images." msgstr "D'après l'analyse de l'histogramme, on fixe un seuil de seuillage autour de 30-35 LSB pour supprimer efficacement le bruit de fond sur toutes les images." msgid "Background noise removal via clipping" msgstr "Éliminer le bruit de fond par seuillage" msgid "We set the threshold to 35 and we apply this clipping to each image in the dataset." msgstr "On règle le seuil à 35 et on applique ce seuillage à chaque image du jeu de données." msgid "In order to perform the clipping, we create a ClipParam object and set the minimum value to the background threshold. We then apply the clipping to each image in the dataset." msgstr "Pour réaliser ce seuillage, on crée un objet ClipParam et on fixe la valeur minimale au seuil du bruit de fond. On applique ensuite le traitement à chaque image du jeu de données." msgid "We can now visualize some clipped images:" msgstr "On peut maintenant afficher quelques images seuillées :" msgid "Compute centroids for beam center detection" msgstr "Calculer les centroïdes pour détecter le centre du faisceau" msgid "Next, we compute the centroid of each clipped image to determine the beam center. This is important for accurate profile extraction and FWHM measurements." msgstr "Ensuite, on calcule le centroïde de chaque image seuillée afin de déterminer le centre du faisceau. C'est essentiel pour extraire des profils précis et mesurer correctement la FWHM." msgid "Extract line profiles through beam centers" msgstr "Extraire des profils linéaires passant par le centre" msgid "We extract horizontal line profiles through the detected centroids of each clipped image. This provides insight into the beam intensity distribution along a horizontal cross-section." msgstr "On extrait des profils horizontaux passant par les centroïdes détectés de chaque image seuillée. Cela renseigne sur la distribution d'intensité du faisceau le long d'une coupe horizontale." msgid "Extract radial profiles around beam centers" msgstr "Extraire des profils radiaux autour du centre" msgid "We extract radial profiles centered on the detected centroids of each clipped image. This provides a circular intensity distribution useful for FWHM measurements." msgstr "On extrait des profils radiaux centrés sur les centroïdes détectés pour chaque image seuillée. On obtient ainsi une distribution d'intensité circulaire utile pour les mesures de FWHM." msgid "We can now visualize some radial profiles" msgstr "On peut maintenant visualiser quelques profils radiaux" msgid "Compute FWHM for radial profiles" msgstr "Calculer la FWHM des profils radiaux" msgid "We compute the Full Width at Half Maximum (FWHM) for each radial profile to quantify the beam size. The FWHM is a standard metric for beam width." msgstr "On calcule la largeur à mi-hauteur (FWHM) de chaque profil radial pour quantifier la taille du faisceau. La FWHM est un indicateur standard de la largeur du faisceau." msgid "That's done, we can now print some FWHM statistics to check our results:" msgstr "C'est fait, on peut maintenant afficher quelques statistiques de FWHM pour vérifier les résultats :" msgid "Everything seems fine, we can now analyze the beam size evolution along the z-axis." msgstr "Tout semble correct, on peut maintenant analyser l'évolution de la taille du faisceau le long de l'axe z." msgid "Analyze beam size evolution" msgstr "Analyser l'évolution de la taille du faisceau" msgid "Having computed the FWHM for each radial profile, we can now analyze how the beam size evolves along the propagation axis (z-axis). This is useful to extract some meaningful information from all the numbers we have obtained. We create a signal representing the beam size evolution and visualize it." msgstr "Après avoir calculé la FWHM pour chaque profil radial, on peut analyser comment la taille du faisceau évolue le long de l'axe de propagation (axe z). Cela permet d'extraire des informations pertinentes à partir des valeurs obtenues. On crée un signal représentant cette évolution et on le visualise." msgid "The beam evolution signal currently uses image index as the x-axis, and even if we can see the trend, it is not very informative. It would be way better to have the x-axis in mm." msgstr "Le signal d'évolution du faisceau utilise actuellement l'indice d'image sur l'axe x. Même si la tendance est visible, ce n'est pas très parlant ; ce serait bien mieux d'exprimer l'axe x en mm." msgid "Apply z-axis calibration" msgstr "Appliquer l'étalonnage de l'axe z" msgid "We apply a linear calibration to the x-axis of the beam evolution signal to convert image index to physical distance in mm. In Sigima there is the possibility to perform a linear axis calibration. We use the formula x' = 5*x + 15, where x is the image index and x' is the calibrated distance in mm." msgstr "On applique un étalonnage linéaire à l'axe x du signal d'évolution pour convertir l'indice d'image en distance physique en mm. Sigima permet de réaliser un étalonnage linéaire d'axe. On utilise la formule x' = 5*x + 15, où x est l'indice d'image et x' la distance calibrée en mm." msgid ":download:`Download Jupyter notebook: laser_beam.ipynb `" msgstr ":download:`Télécharger le notebook Jupyter : laser_beam.ipynb `" msgid ":download:`Download Python source code: laser_beam.py `" msgstr ":download:`Télécharger le code source Python : laser_beam.py `" msgid ":download:`Download zipped: laser_beam.zip `" msgstr ":download:`Télécharger l'archive zip : laser_beam.zip `" msgid "`Gallery generated by Sphinx-Gallery `_" msgstr "`Galerie générée par Sphinx-Gallery `_" Sigima-1.1.1/doc/locale/fr/LC_MESSAGES/auto_examples/use_cases/spectrum_analysis.po000066400000000000000000000274071514013333200300550ustar00rootroot00000000000000# SOME DESCRIPTIVE TITLE. # Copyright (C) 2025, DataLab Platform Developers # This file is distributed under the same license as the Sigima package. # FIRST AUTHOR , 2025. # msgid "" msgstr "" "Project-Id-Version: Sigima \n" "Report-Msgid-Bugs-To: \n" "PO-Revision-Date: YEAR-MO-DA HO:MI+ZONE\n" "Language: fr\n" "Language-Team: fr \n" "Plural-Forms: nplurals=2; plural=(n > 1);\n" "MIME-Version: 1.0\n" "Content-Type: text/plain; charset=utf-8\n" "Content-Transfer-Encoding: 8bit\n" "Generated-By: Babel 2.17.0\n" msgid ":ref:`Go to the end ` to download the full example code." msgstr ":ref:`Aller à la fin ` pour télécharger le code complet de l'exemple." msgid "Spectrum Analysis" msgstr "Analyse de spectre" msgid "This example demonstrates advanced signal processing for spectroscopy analysis using a paracetamol spectrum. It shows how to apply noise reduction, region of interest selection, peak fitting, and detrending techniques available in Sigima. Each step builds upon the previous one to create a comprehensive analysis workflow." msgstr "Cet exemple présente un traitement avancé du signal pour l'analyse spectroscopique d'un spectre de paracétamol. On y montre comment appliquer une réduction de bruit, sélectionner une région d'intérêt, ajuster des pics et supprimer une tendance grâce aux fonctionnalités de Sigima. Chaque étape s'appuie sur la précédente pour construire un flux d'analyse complet." msgid "Usage:" msgstr "Utilisation :" msgid "python paracetamol_example.py" msgstr "python paracetamol_example.py" msgid "The script demonstrates spectroscopy data processing workflows commonly used in analytical chemistry and materials science applications." msgstr "Ce script illustre des flux de traitement de données spectroscopiques couramment utilisés en chimie analytique et en science des matériaux." msgid "Load test signal and initial visualization" msgstr "Charger le signal test et visualiser l'aperçu initial" msgid "We load a sample paracetamol spectrum included in the Sigima test data. This spectrum contains characteristic absorption peaks that we will analyze using various signal processing techniques." msgstr "On charge un spectre de paracétamol fourni dans les données de test de Sigima. Ce spectre contient des pics d'absorption caractéristiques que l'on analyse à l'aide de différentes techniques de traitement du signal." msgid "Qt widget 1" msgstr "" msgid "Apply Wiener filter for noise reduction" msgstr "Appliquer un filtre de Wiener pour réduire le bruit" msgid "The signal is quite clean. Anyway, to illustrate the filtering capabilities of Sigima, we apply a Wiener filter to reduce any residual noise while preserving the spectral features." msgstr "Le signal est déjà très propre. Toutefois, pour illustrer les capacités de filtrage de Sigima, on applique un filtre de Wiener afin de réduire tout bruit résiduel tout en préservant les caractéristiques spectrales." msgid "Region of Interest (ROI) selection" msgstr "Sélectionner une région d'intérêt (ROI)" msgid "We fistly focus our analysis on one of the peaks of interest. To to that, we define a region of interest (ROI) around the feature we want to analyze." msgstr "On concentre d'abord l'analyse sur un pic d'intérêt. Pour cela, on définit une région d'intérêt (ROI) autour de la caractéristique que l'on souhaite analyser." msgid "Gaussian fit on the peak" msgstr "Ajuster le pic avec une gaussienne" msgid "We can now fit the peak within the selected ROI using a Gaussian model. This provides quantitative parameters such as peak position, amplitude, and width." msgstr "On peut maintenant ajuster le pic dans la ROI sélectionnée à l'aide d'un modèle gaussien. Cela fournit des paramètres quantitatifs tels que la position, l'amplitude et la largeur du pic." msgid "Linear detrending" msgstr "Supprimer la tendance linéaire" msgid "After fitting the main peak, we may want to remove any baseline drift present in the entire spectrum." msgstr "Après avoir ajusté le pic principal, on peut vouloir supprimer toute dérive de ligne de base présente dans l'ensemble du spectre." msgid "The detrending function of Sigima performs a linear fit on the whole signal, including the peaks. In our signal peaks take a large part of the signal itself, witch is enough for signals where the peak are symmetrically distributed around the center, with more or less the same amplitude. This is not the case here, and we cannot expect this function to work well. It is however an interesting example to illustrate how Sigima functions can be combined to perform a more advanced analysis." msgstr "La fonction de suppression de tendance de Sigima réalise un ajustement linéaire sur tout le signal, y compris les pics. Dans notre spectre, les pics occupent une grande partie du signal, ce qui convient aux signaux où ils sont répartis symétriquement autour du centre avec des amplitudes similaires. Ce n'est pas le cas ici et on ne peut pas s'attendre à ce que cette fonction soit performante. C'est toutefois un exemple intéressant pour montrer comment combiner les fonctions de Sigima afin de mener une analyse plus avancée." msgid "In order to visualize the limitation cited above, we apply the detrending function directly on the filtered signal. It's important to remembre that we setted a ROI on the signal to focus the analysis on the main peak. We need to remove this ROI constraint to perform the detrending on the full signal." msgstr "Pour illustrer la limitation mentionnée ci-dessus, on applique la fonction de suppression de tendance directement sur le signal filtré. Il est important de se souvenir que l'on avait défini une ROI afin de se concentrer sur le pic principal. On doit supprimer cette contrainte de ROI pour appliquer la suppression de tendance sur l'intégralité du signal." msgid "The comparison shows, as expected, that the detrending function does not work well on this signal. This, as explained before, is due to the alogirithm used, which performs a linear fit on the whole signal, including the peaks. This effect is clearly visible on the plot: the peaks on the left, that are higher than the ones on the right, starts after the detrending at an intensity value lower than the ones on the right, and all peaks has a baseline under the zero." msgstr "La comparaison montre, comme prévu, que la fonction de suppression de tendance n'est pas adaptée à ce signal. Comme expliqué plus haut, l'algorithme réalise un ajustement linéaire sur tout le signal, y compris les pics. Cet effet apparaît clairement sur la figure : les pics de gauche, plus élevés que ceux de droite, se retrouvent après la suppression de tendance avec une intensité initiale plus faible que ceux de droite, et tous les pics possèdent une ligne de base négative." msgid "Improved detrending with peak exclusion" msgstr "Améliorer la suppression de tendance en excluant les pics" msgid "An idea to overcome the limitation of the detrending function is suggested from the behavior of the detrended signal: we already identified the problem, which is that the linear fit is not performed on the baseline only, but also on the peaks." msgstr "Une idée pour contourner la limitation de la fonction de suppression de tendance vient du comportement du signal traité : on a identifié que le problème vient du fait que l'ajustement linéaire n'est pas effectué uniquement sur la ligne de base mais aussi sur les pics." msgid "To perform a better detrending, we can first thus detect the peaks and then perform a linear fit only on the non-peak regions. We reasonably expect this approach to provide a more accurate baseline estimation and a better detrended signal." msgstr "Pour obtenir une meilleure suppression de tendance, on peut donc détecter d'abord les pics puis ajuster une droite uniquement sur les zones sans pic. On s'attend raisonnablement à ce que cette approche fournisse une estimation de ligne de base plus précise et un signal mieux corrigé." msgid "Automatic peak detection" msgstr "Détecter automatiquement les pics" msgid "We can use the peak detection function of Sigima to automatically identify the peaks in the spectrum. This function analyzes the signal and returns the indices of the detected peaks." msgstr "On peut utiliser la fonction de détection de pics de Sigima pour identifier automatiquement les pics du spectre. Cette fonction analyse le signal et renvoie les indices des pics détectés." msgid "Multi-Gaussian fitting" msgstr "Ajuster plusieurs gaussiennes" msgid "We can now fit multiple Gaussian functions to the detected peaks. This allows us to characterize each peak individually and obtain parameters such as position, amplitude, and width for each peak." msgstr "On peut maintenant ajuster plusieurs fonctions gaussiennes sur les pics détectés. Cela permet de caractériser chaque pic individuellement et d'obtenir pour chacun la position, l'amplitude et la largeur." msgid "Defining ROI outside peaks for better detrending" msgstr "Définir des ROI hors pics pour améliorer la suppression de tendance" msgid "To improve the detrending, we define ROIs that exclude the detected peaks. This allows us to fit the baseline only on the non-peak regions." msgstr "Pour améliorer la suppression de tendance, on définit des ROI qui excluent les pics détectés. Cela permet d'ajuster la ligne de base uniquement sur les zones sans pic." msgid "We can now perform a linear fit on the signal using the defined ROIs to exclude the peaks. This will provide a more accurate baseline estimation." msgstr "On peut ensuite ajuster une droite sur le signal en utilisant les ROI définies pour exclure les pics. On obtient ainsi une estimation plus précise de la ligne de base." msgid "Finally, we can subtract the extended linear fit from the original filtered signal to obtain a better detrended signal. We can see that the baseline is now properly estimated, leading to a more accurate detrended signal." msgstr "On peut enfin soustraire l'ajustement linéaire étendu du signal filtré original pour obtenir un signal mieux débarrassé de sa tendance. On constate que la ligne de base est désormais correctement estimée, ce qui conduit à une correction plus fiable." msgid "To go futher..." msgstr "Pour aller plus loin..." msgid "In the last step we really improved the detrending of our signal. Anyway, several pics on the left of the signal are still not detected and the dentrending can be futher improved. We suggest you to experiment by tuning the parameters of the peak detection function and put your hands on the source code of this function to better understand how it works." msgstr "À la dernière étape, on a nettement amélioré la suppression de tendance du signal. Toutefois, plusieurs pics situés à gauche ne sont toujours pas détectés et la correction peut encore progresser. Nous vous invitons à expérimenter en ajustant les paramètres de la fonction de détection de pics et à explorer son code source pour mieux comprendre son fonctionnement." msgid ":download:`Download Jupyter notebook: spectrum_analysis.ipynb `" msgstr ":download:`Télécharger le notebook Jupyter : spectrum_analysis.ipynb `" msgid ":download:`Download Python source code: spectrum_analysis.py `" msgstr ":download:`Télécharger le code source Python : spectrum_analysis.py `" msgid ":download:`Download zipped: spectrum_analysis.zip `" msgstr ":download:`Télécharger l'archive zip : spectrum_analysis.zip `" msgid "`Gallery generated by Sphinx-Gallery `_" msgstr "`Galerie générée par Sphinx-Gallery `_" Sigima-1.1.1/doc/locale/fr/LC_MESSAGES/contributing/000077500000000000000000000000001514013333200216255ustar00rootroot00000000000000Sigima-1.1.1/doc/locale/fr/LC_MESSAGES/contributing/contribute_code.po000066400000000000000000000064441514013333200253450ustar00rootroot00000000000000# SOME DESCRIPTIVE TITLE. # Copyright (C) 2023, DataLab Platform Developers # This file is distributed under the same license as the DataLab package. # FIRST AUTHOR , 2023. # #, fuzzy msgid "" msgstr "" "Project-Id-Version: DataLab \n" "Report-Msgid-Bugs-To: \n" "PO-Revision-Date: YEAR-MO-DA HO:MI+ZONE\n" "Language-Team: LANGUAGE \n" "MIME-Version: 1.0\n" "Content-Type: text/plain; charset=utf-8\n" "Content-Transfer-Encoding: 8bit\n" "Generated-By: Babel 2.17.0\n" msgid "Contribute code" msgstr "Contribuer au code" msgid "This page explains how you can contribute code to the project." msgstr "Cette page explique comment vous pouvez contribuer au code du projet." msgid "The :ref:`guidelines` page presents the coding guidelines that you should follow when contributing to the project." msgstr "Les règles de codage sont présentées dans la page :ref:`guidelines`." msgid "Fork the project" msgstr "Forker le projet" msgid "The first step is to fork the project on GitHub. You can do that by visiting `DataLab GitHub project `_ and clicking on the \"Fork\" button on the top right corner of the page." msgstr "La première étape est de forker le projet sur GitHub. Vous pouvez le faire en visitant le projet DataLab et en cliquant sur le bouton \"Fork\" en haut à droite de la `page GitHub du projet `_." msgid "Once you have forked the project, you will have a copy of the project in your own GitHub account. Then you can clone the project on your computer and start working on it." msgstr "Une fois que vous avez forké le projet, vous aurez une copie du projet dans votre propre compte GitHub. Ensuite, vous pouvez cloner le projet sur votre ordinateur et commencer à travailler dessus." msgid "Submit a pull request" msgstr "Soumettre une pull request" msgid "Once you have made some changes, you can submit a pull request to the original project. To do that, go to your forked project on GitHub and click on the \"Pull request\" button on the top right corner of the page." msgstr "Dès que vous avez apporté des modifications, vous pouvez soumettre une pull request au projet original. Pour ce faire, allez sur votre projet forké sur GitHub et cliquez sur le bouton \"Pull request\" en haut à droite de la page." msgid "Then you will have to fill a form to describe your pull request. Once you have submitted the pull request, the project maintainers will review your changes and merge them if they are satisfied." msgstr "Ensuite vous devrez remplir un formulaire pour décrire votre pull request. Une fois que vous avez soumis la pull request, les mainteneurs du projet examineront vos modifications et les fusionneront s'ils sont satisfaits." msgid "During the review process, the project maintainers will check that your code follows the coding guidelines and that it does not break the existing tests. If your code does not follow the coding guidelines, you will have to fix it before your pull request can be merged." msgstr "Lors du processus de revue, les mainteneurs du projet vérifieront que votre code suit les règles de codage et qu'il ne casse pas les tests existants. Si votre code ne suit pas les directives de codage, vous devrez le corriger avant que votre pull request puisse être fusionnée." Sigima-1.1.1/doc/locale/fr/LC_MESSAGES/contributing/dependencies.po000066400000000000000000000201221514013333200246100ustar00rootroot00000000000000# SOME DESCRIPTIVE TITLE. # Copyright (C) 2023, DataLab Platform Developers # This file is distributed under the same license as the DataLab package. # FIRST AUTHOR , 2025. # #, fuzzy msgid "" msgstr "" "Project-Id-Version: DataLab \n" "Report-Msgid-Bugs-To: \n" "PO-Revision-Date: YEAR-MO-DA HO:MI+ZONE\n" "Language: fr\n" "Language-Team: fr \n" "Plural-Forms: nplurals=2; plural=(n > 1);\n" "MIME-Version: 1.0\n" "Content-Type: text/plain; charset=utf-8\n" "Content-Transfer-Encoding: 8bit\n" "Generated-By: Babel 2.17.0\n" msgid "About Dependencies" msgstr "A propos des dépendances" msgid "Dependencies are an important part of any software project, and they can significantly affect the development process. In this section, we will discuss the dependencies used in our project, how to manage them, and best practices for keeping them up to date." msgstr "Les dépendances sont une partie importante de tout projet logiciel, et elles peuvent affecter considérablement le processus de développement. Dans cette section, nous allons discuter des dépendances utilisées dans notre projet, comment les gérer et les meilleures pratiques pour les maintenir à jour." msgid "Managing Dependencies" msgstr "Gérer les dépendances" msgid "Dependencies are defined in the `pyproject.toml` file, as officially recommended by the Python packaging authority (see `Writing your pyproject.toml `_)." msgstr "Les dépendances sont définies dans le fichier `pyproject.toml`, comme recommandé officiellement par l'autorité de packaging Python (voir `Writing your pyproject.toml `_)." msgid "The `pyproject.toml` file contains many sections, but the most relevant for dependencies are:" msgstr "\"Le fichier `pyproject.toml` contient de nombreuses sections, mais les plus pertinentes pour les dépendances sont :" msgid "`[project.dependencies]`: This section lists the direct dependencies of the application. These are the packages that the application needs to run." msgstr "`[project.dependencies]`: Cette section liste les dépendances directes de l'application. Ce sont les paquets dont l'application a besoin pour fonctionner." msgid "`[project.optional-dependencies]`: This section lists optional dependencies that can be installed to enable additional features. These dependencies are not required for the core functionality of the application but can enhance its capabilities." msgstr "`[project.optional-dependencies]`: Cette section liste les dépendances optionnelles qui peuvent être installées pour activer des fonctionnalités supplémentaires. Ces dépendances ne sont pas nécessaires au fonctionnement de base de l'application, mais peuvent améliorer ses capacités." msgid "Among the optional dependencies, we have the following groups:" msgstr "Parmi les dépendances optionnelles, nous avons les groupes suivants :" msgid "`opencv`: computer vision tasks requiring OpenCV." msgstr "`opencv`: tâches de traitement d'image nécessitant OpenCV." msgid "`dev`: development and testing (linters, formatters, etc.)." msgstr "`dev`: développement et tests (analyseurs de code, formateurs, etc.)." msgid "`doc`: building the documentation (Sphinx, etc.)." msgstr "`doc`: construction de la documentation (Sphinx, etc.)." msgid "`test`: running the tests (pytest, etc.)." msgstr "`test`: exécution des tests (pytest, etc.)." msgid "`qt`: Qt-based graphical user interface (for interactive testing purposes)." msgstr "`qt`: interface graphique basée sur Qt (pour les tests interactifs)." msgid "Deploying Dependencies" msgstr "Déployer les dépendances" msgid "Production" msgstr "En production" msgid "In production, we recommend using the package manager that is most suitable for your environment and that you are most comfortable with. All package managers (e.g., `pip`, `conda`) are directly or indirectly using the information from the `pyproject.toml` file to install the dependencies." msgstr "En production, nous recommandons d'utiliser le gestionnaire de paquets qui convient le mieux à votre environnement et avec lequel vous êtes le plus à l'aise. Tous les gestionnaires de paquets (par exemple, `pip`, `conda`) utilisent directement ou indirectement les informations du fichier `pyproject.toml` pour installer les dépendances." msgid "See :ref:`installation` for more information on how to install DataLab and its dependencies." msgstr "Voir :ref:`installation` pour plus d'informations sur la façon d'installer DataLab et ses dépendances." msgid "Development" msgstr "En développement" msgid "In development, you may also use the requirements text file to make it easier to install the dependencies in a virtual environment or container." msgstr "En développement, vous pouvez également utiliser le fichier de texte des exigences pour faciliter l'installation des dépendances dans un environnement virtuel ou un conteneur." msgid "The `requirements.txt` file lists all the dependencies needed for the project, including both direct and optional dependencies. This is the exact list of dependencies that are defined in the `pyproject.toml` file, but formatted for use with `pip` or other package managers that support requirements files." msgstr "Le fichier `requirements.txt` liste toutes les dépendances nécessaires au projet, y compris les dépendances directes et optionnelles. C'est la liste exacte des dépendances qui sont définies dans le fichier `pyproject.toml`, mais formatée pour être utilisée avec `pip` ou d'autres gestionnaires de paquets qui prennent en charge les fichiers de dépendances." msgid "The requirements file is generated from the `pyproject.toml` file using a tool provided by the `guidata` package." msgstr "Le fichier de dépendances est généré à partir du fichier `pyproject.toml` à l'aide d'un outil fourni par le package `guidata`." msgid "Adding New Dependencies" msgstr "Ajouter de nouvelles dépendances" msgid "When adding new dependencies to the project, please follow these rules:" msgstr "Lors de l'ajout de nouvelles dépendances au projet, veuillez suivre ces règles :" msgid "If it is a direct dependency, that is a package that the application needs to run, add it to the `[project.dependencies]` section in the `pyproject.toml` file, and specify the version range that is compatible with the application, in order to avoid breaking changes." msgstr "Si c'est une dépendance directe, c'est-à-dire un paquet dont l'application a besoin pour fonctionner, ajoutez-le à la section `[project.dependencies]` dans le fichier `pyproject.toml`, et spécifiez la plage de versions compatible avec l'application, afin d'éviter les changements incompatibles." msgid "If it is an optional dependency, that is a package that can be installed to enable additional features, add it to the appropriate section in the `[project.optional-dependencies]` section in the `pyproject.toml` file." msgstr "Si c'est une dépendance optionnelle, c'est-à-dire un paquet qui peut être installé pour activer des fonctionnalités supplémentaires, ajoutez-le à la section appropriée dans la section `[project.optional-dependencies]` du fichier `pyproject.toml`." msgid "For the `dev` dependencies, unless it's absolutely necessary, do not specify a version range, as it may limit the ability to use the latest version of the package." msgstr "Pour les dépendances `dev`, sauf si c'est absolument nécessaire, ne spécifiez pas de plage de versions, car cela peut limiter la capacité à utiliser la dernière version du paquet." msgid "For the other optional dependencies, specify the version range that is compatible with the application, in order to avoid breaking changes." msgstr "Pour les autres dépendances optionnelles, spécifiez la plage de versions compatible avec l'application, afin d'éviter les changements incompatibles." msgid "In other words, except for the `dev` dependencies, always specify a version range that is compatible with the application." msgstr "En d'autres termes, sauf pour les dépendances `dev`, spécifiez toujours une plage de versions compatible avec l'application." Sigima-1.1.1/doc/locale/fr/LC_MESSAGES/contributing/environment.po000066400000000000000000000222741514013333200245400ustar00rootroot00000000000000# SOME DESCRIPTIVE TITLE. # Copyright (C) 2023, DataLab Platform Developers # This file is distributed under the same license as the DataLab package. # FIRST AUTHOR , 2023. # #, fuzzy msgid "" msgstr "" "Project-Id-Version: DataLab \n" "Report-Msgid-Bugs-To: \n" "PO-Revision-Date: YEAR-MO-DA HO:MI+ZONE\n" "Language: fr\n" "Language-Team: fr \n" "Plural-Forms: nplurals=2; plural=(n > 1);\n" "MIME-Version: 1.0\n" "Content-Type: text/plain; charset=utf-8\n" "Content-Transfer-Encoding: 8bit\n" "Generated-By: Babel 2.17.0\n" msgid "Setting up Development Environment" msgstr "Mise en place de l'environnement de développement" msgid "Getting started with DataLab development is easy." msgstr "Démarrer le développement dans le cadre du projet DataLab est facile." msgid "Here is what you will need:" msgstr "Voici ce dont vous aurez besoin :" msgid "An integrated development environment (IDE) for Python. We recommend [Spyder](https://www.spyder-ide.org/) or [Visual Studio Code](https://code.visualstudio.com/), but any IDE will do." msgstr "Un environnement de développement intégré (IDE) pour Python. Nous recommandons [Spyder](https://www.spyder-ide.org/) ou [Visual Studio Code](https://code.visualstudio.com/), mais tout IDE fera l'affaire." msgid "A Python distribution. We recommend [WinPython](https://winpython.github.io/), on Windows, or [Anaconda](https://www.anaconda.com/), on Linux or Mac. But, again, any Python distribution will do." msgstr "Une distribution Python. Nous recommandons [WinPython](https://winpython.github.io/), sur Windows, ou [Anaconda](https://www.anaconda.com/), sur Linux ou Mac. Mais, encore une fois, n'importe quelle distribution Python fera l'affaire." msgid "A clean project structure (see below)." msgstr "Une structure de projet propre (voir ci-dessous)." msgid "Test data (see below)." msgstr "Des données de test (voir ci-dessous)." msgid "Environment variables (see below)." msgstr "Des variables d'environnement (voir ci-dessous)." msgid "Third-party software (see below)." msgstr "Des logiciels tiers (voir ci-dessous)." msgid "Development Environment" msgstr "Environnement de développement" msgid "If you are using [Spyder](https://www.spyder-ide.org/), thank you for supporting the scientific open-source Python community!" msgstr "Si vous utilisez [Spyder](https://www.spyder-ide.org/), merci de soutenir la communauté scientifique Python open-source !" msgid "If you are using Visual Studio Code, that's also an excellent choice (for other reasons). We recommend installing the following extensions:" msgstr "Si vous utilisez Visual Studio Code, c'est aussi un excellent choix (pour d'autres raisons). Nous recommandons d'installer les extensions suivantes :" msgid "Extension" msgstr "Extension" msgid "Description" msgstr "Description" msgid "[gettext](https://marketplace.visualstudio.com/items?itemName=mrorz.language-gettext)" msgstr "[gettext](https://marketplace.visualstudio.com/items?itemName=mrorz.language-gettext)" msgid "Gettext syntax highlighting" msgstr "Coloration syntaxique Gettext" msgid "[Pylance](https://marketplace.visualstudio.com/items?itemName=ms-python.vscode-pylance)" msgstr "[Pylance](https://marketplace.visualstudio.com/items?itemName=ms-python.vscode-pylance)" msgid "Python language server" msgstr "Serveur de langage Python" msgid "[Python](https://marketplace.visualstudio.com/items?itemName=ms-python.python)" msgstr "[Python](https://marketplace.visualstudio.com/items?itemName=ms-python.python)" msgid "Python extension" msgstr "Extension Python" msgid "[reStructuredText Syntax highlighting](https://marketplace.visualstudio.com/items?itemName=trond-snekvik.simple-rst)" msgstr "[reStructuredText Syntax highlighting](https://marketplace.visualstudio.com/items?itemName=trond-snekvik.simple-rst)" msgid "reStructuredText syntax highlighting" msgstr "Coloration syntaxique reStructuredText" msgid "[Ruff](https://marketplace.visualstudio.com/items?itemName=charliermarsh.ruff)" msgstr "[Ruff](https://marketplace.visualstudio.com/items?itemName=charliermarsh.ruff)" msgid "Extremely fast Python linter and code formatter" msgstr "Linter et formateur de code Python extrêmement rapide" msgid "[Todo Tree](https://marketplace.visualstudio.com/items?itemName=Gruntfuggly.todo-tree)" msgstr "[Todo Tree](https://marketplace.visualstudio.com/items?itemName=Gruntfuggly.todo-tree)" msgid "Todo tree" msgstr "Arbre de tâches" msgid "[Insert GUID](https://marketplace.visualstudio.com/items?itemName=heaths.vscode-guid)" msgstr "[Insert GUID](https://marketplace.visualstudio.com/items?itemName=heaths.vscode-guid)" msgid "Insert GUID" msgstr "Insérer un GUID" msgid "[XML Tools](https://marketplace.visualstudio.com/items?itemName=DotJoshJohnson.xml)" msgstr "[XML Tools](https://marketplace.visualstudio.com/items?itemName=DotJoshJohnson.xml)" msgid "XML Tools" msgstr "Outils XML" msgid "Python Environment" msgstr "Environnement Python" msgid "Sigima requires the following :" msgstr "Sigima nécessite les éléments suivants :" msgid "Python (e.g. WinPython)" msgstr "Python (p.ex. WinPython)" msgid "Additional Python packages" msgstr "Paquets Python supplémentaires" msgid "Installing all required packages :" msgstr "Installation de tous les paquets requis :" msgid "If you are using [WinPython](https://winpython.github.io/), thank you for supporting the scientific open-source Python community!" msgstr "Si vous utilisez [WinPython](https://winpython.github.io/), merci de soutenir la communauté scientifique Python open-source !" msgid "The following table lists the currently officially used Python distributions:" msgstr "Le tableau suivant liste les distributions Python actuellement utilisées officiellement :" msgid "Python version" msgstr "Version de Python" msgid "Status" msgstr "Statut" msgid "WinPython version" msgstr "Version de WinPython" msgid "3.9" msgstr "" msgid "OK" msgstr "" msgid "3.9.10.0" msgstr "" msgid "3.10" msgstr "" msgid "3.10.11.1" msgstr "" msgid "3.11" msgstr "" msgid "3.11.5.0" msgstr "" msgid "3.12" msgstr "" msgid "3.12.3.0" msgstr "" msgid "3.13" msgstr "" msgid "3.13.2.0" msgstr "" msgid "⚠ We strongly recommend using the `.dot` versions of WinPython which are lightweight and can be customized to your needs (using `pip install -r requirements.txt`)." msgstr "⚠ Nous recommandons fortement d'utiliser les versions `.dot` de WinPython qui sont légères et peuvent être personnalisées selon vos besoins (en utilisant `pip install -r requirements.txt`)." msgid "✅ We also recommend using a dedicated WinPython instance for Sigima." msgstr "✅ Nous recommandons également d'utiliser une instance WinPython dédiée pour Sigima." msgid "Test data" msgstr "Données de test" msgid "Sigima test data are located in different folders, depending on their nature or origin." msgstr "Les données de test de Sigima sont situées dans différents dossiers, selon leur nature ou leur origine." msgid "Required data for unit tests are located in \"sigima\\data\\tests\" (public data)." msgstr "Les données requises pour les tests unitaires sont situées dans \"sigima\\data\\tests\" (données publiques)" msgid "A second folder %SIGIMA_DATA% (optional) may be defined for additional tests which are still under development (or for confidential data)." msgstr "Un second dossier %SIGIMA_DATA% (facultatif) peut être défini pour des tests supplémentaires qui sont encore en cours de développement (ou pour des données confidentielles)." msgid "Specific environment variables" msgstr "Variables d'environnement spécifiques" msgid "Visual Studio Code configuration used in `launch.json` and/or `tasks.json` (examples) :" msgstr "La configuration de Visual Studio Code utilisée dans `launch.json` et/ou `tasks.json` (exemples) :" msgid "Visual Studio Code `.env` file:" msgstr "Fichier `.env` de Visual Studio Code :" msgid "This file is used to set environment variables for the application." msgstr "Ce fichier est utilisé pour définir les variables d'environnement de l'application." msgid "It is used to set the `PYTHONPATH` environment variable to the root of the project." msgstr "Il est utilisé pour définir la variable d'environnement `PYTHONPATH` à la racine du projet." msgid "This is required to be able to import the project modules from within VS Code." msgstr "Cela est nécessaire pour pouvoir importer les modules du projet depuis VS Code." msgid "To create this file, copy the `.env.template` file to `.env` (and eventually add your own paths)." msgstr "Pour créer ce fichier, copiez le fichier `.env.template` en `.env` (et ajoutez éventuellement vos propres chemins)." msgid "Third-party Software" msgstr "Logiciels tiers" msgid "The following software may be required for maintaining the project:" msgstr "Les logiciels suivants peuvent être nécessaires pour maintenir le projet :" msgid "Software" msgstr "Logiciel" msgid "[gettext](https://mlocati.github.io/articles/gettext-iconv-windows.html)" msgstr "" msgid "Translations" msgstr "Traductions" msgid "[Git](https://git-scm.com/)" msgstr "" msgid "Version control system" msgstr "Système de contrôle de version" msgid "[ImageMagick](https://imagemagick.org/)" msgstr "" msgid "Image manipulation utilities" msgstr "Utilitaires de manipulation d'images" Sigima-1.1.1/doc/locale/fr/LC_MESSAGES/contributing/gitworkflow.po000066400000000000000000000351111514013333200245440ustar00rootroot00000000000000# SOME DESCRIPTIVE TITLE. # Copyright (C) 2023, DataLab Platform Developers # This file is distributed under the same license as the DataLab package. # FIRST AUTHOR , 2025. # #, fuzzy msgid "" msgstr "" "Project-Id-Version: DataLab \n" "Report-Msgid-Bugs-To: \n" "PO-Revision-Date: YEAR-MO-DA HO:MI+ZONE\n" "Language: fr\n" "Language-Team: fr \n" "Plural-Forms: nplurals=2; plural=(n > 1);\n" "MIME-Version: 1.0\n" "Content-Type: text/plain; charset=utf-8\n" "Content-Transfer-Encoding: 8bit\n" "Generated-By: Babel 2.17.0\n" msgid "Git Workflow" msgstr "Workflow Git" msgid "This document describes the Git workflow used in the Sigima project, based on a ``main`` branch, a ``develop`` branch, and feature-specific branches. It also defines how bug fixes are managed." msgstr "Ce document décrit le workflow Git utilisé dans le projet Sigima, basé sur une branche ``main``, une branche ``develop`` et des branches spécifiques aux fonctionnalités. Il définit également comment les correctifs de bogues sont gérés." msgid "This workflow is a simplified version of the `Gitflow Workflow `_. It has been adapted to suit the needs of the Sigima project at the current stage of development. In the near future, we may consider adopting a more complex workflow, e.g. by adding release branches." msgstr "Ce workflow est une version simplifiée du `Gitflow Workflow `_. Il a été adapté pour répondre aux besoins du projet Sigima à l'étape actuelle de développement. Dans un avenir proche, nous pourrions envisager d'adopter un workflow plus complexe, par exemple en ajoutant des branches de version." msgid "Branching Model" msgstr "Modèle de branches" msgid "Main Branches" msgstr "Branches principales" msgid "``main``: Represents the stable, production-ready version of the project." msgstr "``main`` : Représente la version stable et prête pour la production du projet." msgid "``develop``: Used for ongoing development and integration of new features." msgstr "``develop`` : Utilisé pour le développement continu et l'intégration de nouvelles fonctionnalités." msgid "Feature Branches" msgstr "Branches de fonctionnalités" msgid "``feature/feature_name``: Used for the development of new features." msgstr "``feature/feature_name`` : Utilisé pour le développement de nouvelles fonctionnalités." msgid "Created from ``develop``." msgstr "Créé à partir de ``develop``." msgid "Merged back into ``develop`` once completed." msgstr "Fusionné de nouveau dans ``develop`` une fois terminé." msgid "Deleted after merging." msgstr "Supprimé après la fusion." msgid "Release Branch" msgstr "Branche release" msgid "``release``: Represents the current maintenance line for patch releases." msgstr "``release`` : Représente la ligne de maintenance actuelle pour les versions de correctifs." msgid "Created from ``main`` after a stable release when the first patch is needed." msgstr "Créé à partir de ``main`` après une version stable lorsque le premier correctif est nécessaire." msgid "Accepts ``fix/xxx`` and ``hotfix/xxx`` branch merges." msgstr "Accepte les fusions de branches ``fix/xxx`` et ``hotfix/xxx``." msgid "Merged back into ``main`` for each patch release tag (e.g., 1.0.1, 1.0.2)." msgstr "Fusionné de nouveau dans ``main`` pour chaque tag de version de correctif (par exemple, 1.0.1, 1.0.2)." msgid "Reset or recreated when starting a new minor/major release cycle." msgstr "Réinitialisé ou recréé lors du démarrage d'un nouveau cycle de version mineure/majeure." msgid "The ``release`` branch is not versioned (no ``release/1.0.x``). It always represents \"the current maintenance line.\" When a new minor version is released (e.g., 1.2.0), the old ``release`` branch is deleted and a new one is created from the fresh tag when the first patch for 1.2.1 is needed." msgstr "La branche ``release`` n'est pas versionnée (pas de ``release/1.0.x``). Elle représente toujours « la ligne de maintenance actuelle ». Lorsqu'une nouvelle version mineure est publiée (par exemple, 1.2.0), l'ancienne branche ``release`` est supprimée et une nouvelle est créée à partir du nouveau tag lorsque le premier correctif pour 1.2.1 est nécessaire." msgid "Bug Fix Branches" msgstr "Branches de correction d'anomalies" msgid "``fix/xxx``: Used for general bug fixes that are not urgent." msgstr "``fix/xxx`` : Utilisé pour les corrections générales d'anomalies qui ne sont pas urgentes." msgid "Created from ``develop`` (for next feature release) or ``release`` (for patch release)." msgstr "Créé à partir de ``develop`` (pour la prochaine version de fonctionnalité) ou ``release`` (pour la version de correctif)." msgid "Merged back into the originating branch once completed." msgstr "Fusionné de nouveau dans la branche d'origine une fois terminé." msgid "``hotfix/xxx``: Used for urgent production-critical fixes." msgstr "``hotfix/xxx`` : Utilisé pour les corrections urgentes critiques pour la production." msgid "Created from ``release`` (if exists) or ``main`` (if no ``release`` branch yet)." msgstr "Créé à partir de ``release`` (si elle existe) ou ``main`` (si aucune branche ``release`` n'existe encore)." msgid "Merged back into ``release`` or ``main``." msgstr "Fusionné de nouveau dans ``release`` ou ``main``." msgid "The fix is then cherry-picked into ``develop``." msgstr "La correction est ensuite sélectionnée dans ``develop``." msgid "Hotfixes (high-priority fixes) will be integrated in the next maintenance release (X.Y.Z -> Z+1), while fixes (low-priority fixes) will be integrated in the next feature release (X.Y -> Y+1)." msgstr "Les correctifs urgents (correctifs de haute priorité) seront intégrés dans la prochaine version de maintenance (X.Y.Z -> Z+1), tandis que les correctifs (correctifs de basse priorité) seront intégrés dans la prochaine version de fonctionnalité (X.Y -> Y+1)." msgid "Documentation Branches" msgstr "Branches de documentation" msgid "When working on documentation that is not related to source code (e.g. training materials, user guides), branches should be named using the ``doc/`` prefix." msgstr "Lors de la rédaction de documentation qui n'est pas liée au code source (par exemple, les supports de formation, les guides utilisateur), les branches doivent être nommées en utilisant le préfixe ``doc/``." msgid "Examples:" msgstr "Exemples :" msgid "``doc/training-materials``" msgstr "``doc/training-materials``" msgid "``doc/user-guide``" msgstr "``doc/user-guide``" msgid "This naming convention improves clarity by clearly separating documentation efforts from code-related development (features, fixes, etc.)." msgstr "Cette convention de nommage améliore la clarté en séparant clairement les efforts de documentation du développement lié au code (fonctionnalités, corrections, etc.)." msgid "Workflow for New Features" msgstr "Workflow pour les nouvelles fonctionnalités" msgid "Create a new feature branch from ``develop``:" msgstr "Créer une nouvelle branche de fonctionnalité à partir de ``develop`` :" msgid "Develop the feature and commit changes." msgstr "Développer la fonctionnalité et valider les modifications." msgid "Merge the feature branch back into ``develop``:" msgstr "Fusionner la branche de fonctionnalité de nouveau dans ``develop`` :" msgid "Delete the feature branch:" msgstr "Supprimer la branche de fonctionnalité :" msgid "Do not leave feature branches unmerged for too long. Regularly rebase them on ``develop`` to minimize conflicts." msgstr "Ne pas laisser les branches de fonctionnalités non fusionnées trop longtemps. Les réorganiser régulièrement sur ``develop`` pour minimiser les conflits." msgid "Workflow for Regular Bug Fixes" msgstr "Workflow pour les corrections d'anomalies régulières" msgid "For next feature release (target: ``develop``):" msgstr "Pour la prochaine version de fonctionnalité (cible : ``develop``) :" msgid "Create a bug fix branch from ``develop``:" msgstr "Créer une branche de correction d'anomalie à partir de ``develop`` :" msgid "Apply the fix and commit changes." msgstr "Appliquer la correction et valider les modifications." msgid "Merge the fix branch back into ``develop``:" msgstr "Fusionner la branche de correction de nouveau dans ``develop`` :" msgid "Delete the fix branch:" msgstr "Supprimer la branche de correction :" msgid "For current maintenance release (target: ``release``):" msgstr "Pour la version de maintenance actuelle (cible : ``release``) :" msgid "Create a bug fix branch from ``release``:" msgstr "Créer une branche de correction d'anomalie à partir de ``release`` :" msgid "Merge the fix branch back into ``release``:" msgstr "Fusionner la branche de correction de nouveau dans ``release`` :" msgid "Do not create a ``fix/xxx`` branch from a ``develop/feature_name`` branch. Always branch from ``develop`` or ``release`` to ensure fixes are correctly propagated." msgstr "Ne pas créer une branche ``fix/xxx`` à partir d'une branche ``develop/feature_name``. Toujours créer une branche à partir de ``develop`` ou ``release`` pour garantir que les corrections sont correctement propagées." msgid "Workflow for Critical Hotfixes" msgstr "Workflow pour les correctifs urgents" msgid "Create a hotfix branch from ``release`` (or ``main`` if no ``release`` branch exists):" msgstr "Créer une branche de correctif urgent à partir de ``release`` (ou ``main`` si aucune branche ``release`` n'existe) :" msgid "Merge the fix back into ``release`` (or ``main``):" msgstr "Fusionner la correction de nouveau dans ``release`` (ou ``main``) :" msgid "Cherry-pick the fix into ``develop``:" msgstr "Faire un cherry-pick du correctif dans ``develop`` :" msgid "Delete the hotfix branch:" msgstr "Supprimer la branche de correctif urgent :" msgid "Do not merge ``fix/xxx`` or ``hotfix/xxx`` directly into ``main`` without following the workflow. Ensure hotfixes are cherry-picked into ``develop`` to avoid losing fixes in future releases." msgstr "Ne pas fusionner ``fix/xxx`` ou ``hotfix/xxx`` directement dans ``main`` sans suivre le workflow. Assurez-vous que les correctifs urgents ont fait l'objet de cherry-pick dans ``develop`` pour éviter de perdre des correctifs dans les futures versions." msgid "Workflow for Patch Releases" msgstr "Workflow pour les versions de correctifs" msgid "When ready to release a patch version (e.g., 1.0.1, 1.0.2):" msgstr "Lorsque vous êtes prêt à publier une version de correctif (par exemple, 1.0.1, 1.0.2) :" msgid "Ensure the ``release`` branch contains all desired fixes." msgstr "S'assurer que la branche ``release`` contient toutes les corrections souhaitées." msgid "Merge ``release`` into ``main``:" msgstr "Fusionner ``release`` dans ``main`` :" msgid "Tag the release on ``main``:" msgstr "Taguer la version sur ``main`` :" msgid "Keep the ``release`` branch for additional patches in the same minor version series." msgstr "Conserver la branche ``release`` pour des correctifs supplémentaires dans la même série de versions mineures." msgid "Workflow for Minor/Major Releases" msgstr "Workflow pour les versions mineures/majeures" msgid "When ready to release a new minor or major version (e.g., 1.1.0, 2.0.0):" msgstr "Lorsque vous êtes prêt à publier une nouvelle version mineure ou majeure (par exemple, 1.1.0, 2.0.0) :" msgid "Merge ``develop`` into ``main``:" msgstr "Fusionner ``develop`` dans ``main`` :" msgid "Delete the old ``release`` branch (if exists):" msgstr "Supprimer l'ancienne branche ``release`` (si elle existe) :" msgid "Create a new ``release`` branch from ``main`` when the first patch for 1.1.1 is needed:" msgstr "Créer une nouvelle branche ``release`` à partir de ``main`` lorsque le premier correctif pour 1.1.1 est nécessaire :" msgid "Best Practices" msgstr "Bonnes pratiques" msgid "Regularly **rebase feature branches** on ``develop`` to stay up to date:" msgstr "Réorganiser régulièrement les branches de fonctionnalités sur ``develop`` pour rester à jour :" msgid "Avoid long-lived branches to minimize merge conflicts." msgstr "Éviter les branches de longue durée pour minimiser les conflits de fusion." msgid "Ensure bug fixes in ``release`` or ``main`` are **always cherry-picked** to ``develop``." msgstr "S'assurer que les corrections d'anomalies dans ``release`` ou ``main`` sont **toujours sélectionnées** dans ``develop``." msgid "Clearly differentiate between ``fix/xxx`` (non-urgent fixes) and ``hotfix/xxx`` (critical production fixes)." msgstr "Différencier clairement entre ``fix/xxx`` (correctifs non urgents) et ``hotfix/xxx`` (correctifs critiques pour la production)." msgid "When creating the ``release`` branch, update release notes to indicate which version it targets (e.g., add a comment in the merge commit: \"Create release branch for v1.0.x maintenance\")." msgstr "Lors de la création de la branche ``release``, mettre à jour les notes de version pour indiquer la version qu'elle cible (par exemple, ajouter un commentaire dans le commit de fusion : \"Créer une branche de version pour la maintenance v1.0.x\")." msgid "The ``release`` branch always represents the current maintenance line. To know which version it targets, check the most recent tag on ``main`` or the release notes." msgstr "La branche ``release`` représente toujours la ligne de maintenance actuelle. Pour savoir quelle version elle cible, vérifiez le tag le plus récent sur ``main`` ou les notes de version." msgid "Takeaway" msgstr "Conclusion" msgid "This workflow ensures a structured yet flexible development process while keeping ``main`` stable and ``develop`` always updated with the latest changes." msgstr "Ce workflow garantit un processus de développement structuré mais flexible tout en maintenant ``main`` stable et ``develop`` toujours à jour avec les dernières modifications." msgid "The ``release`` branch provides a dedicated maintenance line for patch releases, allowing ``develop`` to proceed with new features without interference. This solves the problem of coordinating unreleased changes across the PlotPyStack ecosystem (DataLab, Sigima, PlotPy, guidata, PythonQwt) by providing a stable branch for CI testing during maintenance cycles." msgstr "La branche ``release`` fournit une ligne de maintenance dédiée pour les versions de correctifs, permettant à ``develop`` de poursuivre avec de nouvelles fonctionnalités sans interférence. Cela résout le problème de la coordination des modifications non publiées dans l'écosystème PlotPyStack (DataLab, Sigima, PlotPy, guidata, PythonQwt) en fournissant une branche stable pour les tests CI pendant les cycles de maintenance." Sigima-1.1.1/doc/locale/fr/LC_MESSAGES/contributing/guidelines.po000066400000000000000000000134321514013333200243200ustar00rootroot00000000000000# SOME DESCRIPTIVE TITLE. # Copyright (C) 2023, DataLab Platform Developers # This file is distributed under the same license as the DataLab package. # FIRST AUTHOR , 2023. # #, fuzzy msgid "" msgstr "" "Project-Id-Version: DataLab \n" "Report-Msgid-Bugs-To: \n" "PO-Revision-Date: YEAR-MO-DA HO:MI+ZONE\n" "Language-Team: LANGUAGE \n" "MIME-Version: 1.0\n" "Content-Type: text/plain; charset=utf-8\n" "Content-Transfer-Encoding: 8bit\n" "Generated-By: Babel 2.17.0\n" msgid "Coding guidelines" msgstr "Règles de codage" msgid "Generic coding guidelines" msgstr "Règles de codage génériques" msgid "We follow the `PEP 8 `_ coding style." msgstr "Nous suivons le style de codage `PEP 8 `_." msgid "In particular, we are especially strict about the following guidelines:" msgstr "En particulier, nous sommes particulièrement stricts sur les directives suivantes :" msgid "Limit all lines to a maximum of 79 characters." msgstr "Limiter toutes les lignes à un maximum de 79 caractères." msgid "Respect the naming conventions (classes, functions, variables, etc.)." msgstr "Respecter les conventions de nommage (classes, fonctions, variables, etc.)." msgid "Use specific exceptions instead of the generic :class:`Exception`." msgstr "Utiliser des exceptions spécifiques au lieu de :class:`Exception`." msgid "To enforce these guidelines, the following tools are mandatory:" msgstr "Pour faire respecter ces directives, les outils suivants sont obligatoires :" msgid "`ruff `_ for code formatting and static code analysis." msgstr "`ruff `_ pour le formatage du code et l'analyse statique du code." msgid "`pylint `_ for static code analysis." msgstr "`pylint `_ pour l'analyse statique du code." msgid "ruff" msgstr "ruff" msgid "If you are using `Visual Studio Code `_, the project settings will automatically format your code with `ruff` on save (you may also run the task \"Run Ruff\" to run `ruff` on the project)." msgstr "Si vous utilisez `Visual Studio Code `_, les paramètres du projet formateront automatiquement votre code avec `ruff` à l'enregistrement (vous pouvez également exécuter la tâche \"Run Ruff\" pour exécuter `ruff` sur le projet)." msgid "To run `ruff`, run the following command::" msgstr "Pour exécuter `ruff`, exécutez la commande suivante::" msgid "pylint" msgstr "pylint" msgid "To run `pylint`, run the following command::" msgstr "Pour exécuter `pylint`, exécutez la commande suivante::" msgid "If you are using `Visual Studio Code `_ on Windows, you may run the task \"Run Pylint\" to run `pylint` on the project." msgstr "Si vous utilisez `Visual Studio Code `_ sur Windows, vous pouvez exécuter la tâche \"Run Pylint\" pour exécuter `pylint` sur le projet." msgid "A `pylint` rating greater than 9/10 is required to merge a pull request." msgstr "Une note `pylint` supérieure à 9/10 est requise pour fusionner une demande d'extraction." msgid "Specific coding guidelines" msgstr "Règles de codage spécifiques" msgid "In addition to the generic coding guidelines, we have the following specific guidelines:" msgstr "En plus des directives de codage génériques, nous avons les directives spécifiques suivantes :" msgid "Write docstrings for all classes, methods and functions. The docstrings should follow the `Google style `_." msgstr "Écrire des docstrings pour toutes les classes, méthodes et fonctions. Les docstrings doivent suivre le `style Google `_." msgid "Add typing annotations for all functions and methods. The annotations should use the future syntax (``from __future__ import annotations``)" msgstr "Ajouter des annotations de typage pour toutes les fonctions et méthodes. Les annotations doivent utiliser la syntaxe future (``from __future__ import annotations``)" msgid "Try to keep the code as simple as possible. If you have to write a complex piece of code, try to split it into several functions or classes." msgstr "Essayez de garder le code aussi simple que possible. Si vous devez écrire un morceau de code complexe, essayez de le diviser en plusieurs fonctions ou classes." msgid "Add as many comments as possible. The code should be self-explanatory, but it is always useful to add some comments to explain the general idea of the code, or to explain some tricky parts." msgstr "Ajouter autant de commentaires que possible. Le code doit être auto-explicatif, mais il est toujours utile d'ajouter des commentaires pour expliquer l'idée générale du code, ou pour expliquer certaines parties délicates." msgid "Do not use ``from module import *`` statements, even in the ``__init__`` module of a package." msgstr "N'utilisez pas d'instructions ``from module import *``, même dans le module ``__init__`` d'un package." msgid "Avoid using mixins (multiple inheritance) when possible. It is often possible to use composition instead of inheritance." msgstr "Évitez d'utiliser des mixins (héritage multiple) si possible. Il est souvent possible d'utiliser la composition au lieu de l'héritage." msgid "Avoid using ``__getattr__`` and ``__setattr__`` methods. They are often used to implement lazy initialization, but this can be done in a more explicit way." msgstr "Évitez d'utiliser les méthodes ``__getattr__`` et ``__setattr__``. Ils sont souvent utilisés pour implémenter une initialisation paresseuse, mais cela peut être fait de manière plus explicite." Sigima-1.1.1/doc/locale/fr/LC_MESSAGES/contributing/index.po000066400000000000000000000245351514013333200233050ustar00rootroot00000000000000# SOME DESCRIPTIVE TITLE. # Copyright (C) 2023, DataLab Platform Developers # This file is distributed under the same license as the DataLab package. # FIRST AUTHOR , 2023. # #, fuzzy msgid "" msgstr "" "Project-Id-Version: DataLab \n" "Report-Msgid-Bugs-To: \n" "PO-Revision-Date: YEAR-MO-DA HO:MI+ZONE\n" "Language-Team: LANGUAGE \n" "MIME-Version: 1.0\n" "Content-Type: text/plain; charset=utf-8\n" "Content-Transfer-Encoding: 8bit\n" "Generated-By: Babel 2.17.0\n" msgid "Contribute to Sigima project, the open-source scientific data analysis platform" msgstr "Contribuer au projet Sigima, la plateforme open-source d'analyse de données scientifiques" msgid "Sigima, contribute, open-source, scientific, data, analysis, platform, signal processing, image processing" msgstr "Sigima, contribuer, open-source, scientifique, données, analyse, plateforme, traitement du signal, traitement d'images" msgid "Contributing" msgstr "Contribuer" msgid "There are many ways to contribute to Sigima, depending on how much time you have, your experience with open source projects, and your skills." msgstr "Il existe de nombreuses façons de contribuer au projet Sigima, en fonction du temps dont vous disposez, de votre expérience avec les projets open source et de vos compétences." msgid "Share your ideas and experiences" msgstr "Partagez vos idées et vos expériences" msgid ":octicon:`info;1em;sd-text-info` :bdg-success-line:`No coding required`" msgstr ":octicon:`info;1em;sd-text-info` :bdg-success-line:`Aucun codage requis`" msgid "Besides the classic bug reports and feature requests, you can share your ideas and experiences for improving Sigima. In particular, we are very interested in your feedback on the documentation and tutorials. Moreover, if you have a use case that you would like to share with the community, please let us know." msgstr "Outre les rapports d'anomalies classiques et les demandes de fonctionnalités, vous pouvez partager vos idées et vos expériences pour améliorer Sigima. En particulier, nous sommes très intéressés par vos commentaires sur la documentation et les tutoriels. De plus, si vous avez un cas d'utilisation que vous souhaitez partager avec la communauté, faites-le nous savoir." msgid " Bugs" msgstr "Anomalies" msgid "Reporting a bug" msgstr "Signaler une anomalie" msgid " Enhancements" msgstr "Améliorations" msgid "Suggesting an enhancement" msgstr "Suggérer une amélioration" msgid " Documentation" msgstr "Documentation" msgid "Suggesting a documentation topic" msgstr "Suggérer un sujet de documentation" msgid " Tutorial" msgstr "Tutoriel" msgid "Suggesting a tutorial topic" msgstr "Suggérer un sujet de tutoriel" msgid "Without coding, you can contribute to Sigima project by:" msgstr "Sans coder une seule ligne, vous pouvez contribuer au projet Sigima en :" msgid "`Reporting a bug `_" msgstr "`Signaler une anomalie `_" msgid "`Suggesting an enhancement `_" msgstr "`Suggérer une amélioration `_" msgid "`Suggesting a documentation topic `_" msgstr "`Suggérer un sujet de documentation `_" msgid "`Suggesting a tutorial topic `_" msgstr "`Suggérer un sujet de tutoriel `_" msgid "Share your scientific/technical knowledge" msgstr "Partagez vos connaissances scientifiques/techniques" msgid "Your technical or scientific knowledge is also very valuable to us, as you may directly contribute to the documentation or tutorials. Or, better, if you want to write a tutorial, we will be happy to help you." msgstr "Vos connaissances techniques ou scientifiques sont également très précieuses pour nous, car vous pouvez contribuer directement à la documentation ou aux tutoriels. Ou, mieux encore, si vous souhaitez rédiger un tutoriel, nous serons heureux de vous aider." msgid "Again without coding, you can contribute to Sigima project by:" msgstr "Encore une fois sans coder, vous pouvez contribuer au projet Sigima en :" msgid "Writing documentation" msgstr "Ecrire de la documentation" msgid "Writing a tutorial" msgstr "Ecrire un tutoriel" msgid "Contribute to new features" msgstr "Contribuer aux nouvelles fonctionnalités" msgid ":octicon:`info;1em;sd-text-info` :bdg-info-line:`Coding (beginner)` :bdg-warning-line:`Coding (advanced)`" msgstr ":octicon:`info;1em;sd-text-info` :bdg-info-line:`Codage (débutant)` :bdg-warning-line:`Codage (avancé)`" msgid "Even if you are not a developer, you can contribute to the project by:" msgstr "Même si vous n'êtes pas développeur, vous pouvez contribuer au projet en :" msgid "Testing new features" msgstr "Testant de nouvelles fonctionnalités" msgid "Writing and submitting new Plugins" msgstr "Ecrivant et soumettant de nouveaux plugins" msgid "Writing and submitting macro-commands" msgstr "Ecivant et soumettant des macro-commandes" msgid "Develop new features" msgstr "Développer de nouvelles fonctionnalités" msgid ":octicon:`info;1em;sd-text-info` :bdg-warning-line:`Coding (advanced)`" msgstr ":octicon:`info;1em;sd-text-info` :bdg-warning-line:`Codage (avancé)`" msgid "If you are a developer, you can contribute to the core of the project by fixing bugs or implementing new features." msgstr "Si vous êtes développeur, vous pouvez contribuer au cœur du projet en corrigeant des anomalies ou en implémentant de nouvelles fonctionnalités." msgid " Code" msgstr "Code" msgid "Contributing to the code" msgstr "Contribuer au code" msgid "See :ref:`contribute_code` section for more information." msgstr "Voir la section :ref:`contribute_code` pour plus d'informations." Sigima-1.1.1/doc/locale/fr/LC_MESSAGES/index.po000066400000000000000000000235551514013333200205770ustar00rootroot00000000000000# SOME DESCRIPTIVE TITLE. # Copyright (C) 2025, DataLab Platform Developers # This file is distributed under the same license as the Sigima package. # FIRST AUTHOR , 2025. # #, fuzzy msgid "" msgstr "" "Project-Id-Version: Sigima \n" "Report-Msgid-Bugs-To: \n" "PO-Revision-Date: YEAR-MO-DA HO:MI+ZONE\n" "Language: fr\n" "Language-Team: fr \n" "Plural-Forms: nplurals=2; plural=(n > 1);\n" "MIME-Version: 1.0\n" "Content-Type: text/plain; charset=utf-8\n" "Content-Transfer-Encoding: 8bit\n" "Generated-By: Babel 2.17.0\n" msgid "Contents" msgstr "Table des matières" msgid "Sigima" msgstr "Sigima" msgid "**Sigima** is an advanced Python library for *scientific image and signal processing*. It provides a wide range of functionalities for analyzing and processing data, including signal filtering, image enhancement, and feature extraction. Sigima is based on a simple but effective object-oriented design, making it easy to use and extend." msgstr "**Sigima** est une bibliothèque Python avancée pour le *traitement scientifique des images et des signaux*. Elle offre une large gamme de fonctionnalités pour l'analyse et le traitement des données, y compris le filtrage des signaux, l'amélioration des images et l'extraction de caractéristiques. Sigima est basée sur une conception orientée objet simple mais efficace, ce qui la rend facile à utiliser et à étendre." msgid "With Sigima, do in 3 lines of code what would normally take dozens of lines:" msgstr "Avec Sigima, faites en 3 lignes de code ce qui prendrait normalement des dizaines de lignes :" msgid "Developed and maintained by the DataLab Platform Developers, **Sigima** powers the computation backend of `DataLab `_." msgstr "Développée et maintenue par les développeurs de la plateforme DataLab, **Sigima** alimente le backend de calcul de `DataLab `_." msgid " User Guide" msgstr "Manuel utilisateur" msgid "Installation, overview, and features" msgstr "Installation et fonctionnalités" msgid " Examples" msgstr "Exemples" msgid "Gallery of examples" msgstr "Galerie d'exemples" msgid " API" msgstr "API" msgid "Reference documentation" msgstr "Documentation de référence" msgid " Contributing" msgstr "Contribuer" msgid "Getting involved in the project" msgstr "S'impliquer dans le projet" msgid "Try it Online" msgstr "Essayer en ligne" msgid "**Experience Sigima instantly in your browser** — no installation required!" msgstr "**Découvrez Sigima instantanément dans votre navigateur** — aucune installation requise !" msgid "Try it online" msgstr "Essayez en ligne" msgid "Click the badge above to open a basic example notebook in a live JupyterLite environment powered by `notebook.link `_. This service, developed by `QuantStack `_, enables sharing and running Jupyter notebooks directly in the browser with zero setup." msgstr "Cliquez sur le badge ci-dessus pour ouvrir un notebook d'exemple basique dans un environnement JupyterLite interactif propulsé par `notebook.link `_. Ce service, développé par `QuantStack `_, permet de partager et d'exécuter des notebooks Jupyter directement dans le navigateur sans aucune configuration." msgid "Simply run the cells to explore:" msgstr "Exécutez simplement les cellules pour explorer :" msgid "Creating signal and image objects" msgstr "Création d'objets signal et image" msgid "Applying processing functions" msgstr "Application de fonctions de traitement" msgid "Visualizing results inline" msgstr "Visualisation des résultats en ligne" msgid "Sigima has been funded by the following stakeholders:" msgstr "Sigima a été financée par les parties prenantes suivantes:" msgid "|nlnet_logo|" msgstr "|nlnet_logo|" msgid "nlnet_logo" msgstr "nlnet_logo" msgid "`NLnet Foundation `_, as part of the NGI0 Commons Fund, backed by the European Commission, has funded the `redesign of DataLab's core architecture `_." msgstr "`NLnet Foundation `_, dans le cadre du NGI0 Commons Fund, soutenu par la Commission européenne, a financé la `refonte de l'architecture de base de DataLab `_." msgid "|cea_logo|" msgstr "|cea_logo|" msgid "cea_logo" msgstr "cea_logo" msgid "`CEA `_, the French Alternative Energies and Atomic Energy Commission, is the major investor in DataLab, and is the main contributor to the project." msgstr "`CEA `_, le Commissariat à l'énergie atomique et aux énergies alternatives, est le principal investisseur de DataLab et le principal contributeur au projet." msgid "|codra_logo|" msgstr "|codra_logo|" msgid "codra_logo" msgstr "codra_logo" msgid "`CODRA`_, a software engineering and editor firm, has supported DataLab open-source journey since its inception (see `here `_)." msgstr "`CODRA`_, une entreprise d'ingénierie logicielle et d'édition, a soutenu le parcours open-source de DataLab depuis ses débuts (voir `ici `_)." Sigima-1.1.1/doc/locale/fr/LC_MESSAGES/release_notes/000077500000000000000000000000001514013333200217465ustar00rootroot00000000000000Sigima-1.1.1/doc/locale/fr/LC_MESSAGES/release_notes/index.po000066400000000000000000000017101514013333200234140ustar00rootroot00000000000000# SOME DESCRIPTIVE TITLE. # Copyright (C) 2025, DataLab Platform Developers # This file is distributed under the same license as the Sigima package. # FIRST AUTHOR , 2025. # #, fuzzy msgid "" msgstr "" "Project-Id-Version: Sigima \n" "Report-Msgid-Bugs-To: \n" "PO-Revision-Date: YEAR-MO-DA HO:MI+ZONE\n" "Language: fr\n" "Language-Team: fr \n" "Plural-Forms: nplurals=2; plural=(n > 1);\n" "MIME-Version: 1.0\n" "Content-Type: text/plain; charset=utf-8\n" "Content-Transfer-Encoding: 8bit\n" "Generated-By: Babel 2.17.0\n" msgid "Release notes" msgstr "Notes de version" msgid "This section contains the release notes for all versions of :mod:`sigima`, documenting new features, improvements, bug fixes, and breaking changes." msgstr "Cette section contient les notes de version pour toutes les versions de :mod:`sigima`, documentant les nouvelles fonctionnalités, les améliorations, les corrections de bugs et les changements majeurs." Sigima-1.1.1/doc/locale/fr/LC_MESSAGES/release_notes/release_0.01.po000066400000000000000000000017701514013333200243710ustar00rootroot00000000000000# SOME DESCRIPTIVE TITLE. # Copyright (C) 2025, DataLab Platform Developers # This file is distributed under the same license as the Sigima package. # FIRST AUTHOR , 2025. # #, fuzzy msgid "" msgstr "" "Project-Id-Version: Sigima \n" "Report-Msgid-Bugs-To: \n" "PO-Revision-Date: YEAR-MO-DA HO:MI+ZONE\n" "Language: fr\n" "Language-Team: fr \n" "Plural-Forms: nplurals=2; plural=(n > 1);\n" "MIME-Version: 1.0\n" "Content-Type: text/plain; charset=utf-8\n" "Content-Transfer-Encoding: 8bit\n" "Generated-By: Babel 2.17.0\n" msgid "Version 0.1" msgstr "" msgid "Sigima Version 0.1.0 (2025-07-06)" msgstr "Sigima Version 0.1.0 (06/07/2025)" msgid "This first version of the library is the result of the externalization of the signal and image processing features from the DataLab main repository." msgstr "Cette première version de la bibliothèque est le résultat de l'externalisation des fonctionnalités de traitement des signaux et des images du référentiel principal de DataLab." Sigima-1.1.1/doc/locale/fr/LC_MESSAGES/release_notes/release_0.02.po000066400000000000000000000027371514013333200243760ustar00rootroot00000000000000# SOME DESCRIPTIVE TITLE. # Copyright (C) 2025, DataLab Platform Developers # This file is distributed under the same license as the Sigima package. # FIRST AUTHOR , 2025. # #, fuzzy msgid "" msgstr "" "Project-Id-Version: Sigima \n" "Report-Msgid-Bugs-To: \n" "PO-Revision-Date: YEAR-MO-DA HO:MI+ZONE\n" "Language: fr\n" "Language-Team: fr \n" "Plural-Forms: nplurals=2; plural=(n > 1);\n" "MIME-Version: 1.0\n" "Content-Type: text/plain; charset=utf-8\n" "Content-Transfer-Encoding: 8bit\n" "Generated-By: Babel 2.17.0\n" msgid "Version 0.2" msgstr "" msgid "Sigima Version 0.2.0 (2025-07-07)" msgstr "Sigima Version 0.2.0 (07/07/2025)" msgid "⚠️ Major API changes:" msgstr "⚠️ Changements majeurs de l'API:" msgid "Rename `sigima.computation` to `sigima.proc`." msgstr "Renommage de `sigima.computation` en `sigima.proc`." msgid "Rename `sigima.algorithms` to `sigima.tools`." msgstr "Renommage de `sigima.algorithms` en `sigima.tools`." msgid "Rename `sigima.obj` to `sigima.objects`." msgstr "Renommage de `sigima.obj` en `sigima.objects`." msgid "Rename `sigima.param` to `sigima.params`." msgstr "Renommage de `sigima.param` en `sigima.params`." msgid "ℹ️ Various changes:" msgstr "ℹ️ Divers changements:" msgid "Add Sigima SVG logo." msgstr "Ajout du logo SVG de Sigima." msgid "🛠️ Bug fixes:" msgstr "🛠️ Correctifs:" msgid "Fix API documentation and docstrings." msgstr "Correction de la documentation de l'API et des docstrings." Sigima-1.1.1/doc/locale/fr/LC_MESSAGES/release_notes/release_1.00.po000066400000000000000000003233011514013333200243660ustar00rootroot00000000000000# SOME DESCRIPTIVE TITLE. # Copyright (C) 2025, DataLab Platform Developers # This file is distributed under the same license as the Sigima package. # FIRST AUTHOR , 2025. # #, fuzzy msgid "" msgstr "" "Project-Id-Version: Sigima \n" "Report-Msgid-Bugs-To: \n" "PO-Revision-Date: YEAR-MO-DA HO:MI+ZONE\n" "Language: fr\n" "Language-Team: fr \n" "Plural-Forms: nplurals=2; plural=(n > 1);\n" "MIME-Version: 1.0\n" "Content-Type: text/plain; charset=utf-8\n" "Content-Transfer-Encoding: 8bit\n" "Generated-By: Babel 2.17.0\n" msgid "Version 1.0" msgstr "" msgid "Sigima Version 1.0.6" msgstr "" msgid "🛠️ Bug fixes:" msgstr "🛠️ Correctifs :" msgid "**Compatibility with scikit-image 0.26.0+**: Fixed deprecation warnings and API compatibility issues" msgstr "**Compatibilité avec scikit-image 0.26.0+** : Correction des avertissements de dépréciation et des problèmes de compatibilité API" msgid "scikit-image 0.26.0 introduced breaking changes to `CircleModel` and `EllipseModel` APIs: old API used `model.estimate(contour)` + `model.params`, new API uses `model.from_estimate(contour)` + property-based access (`model.center`, `model.radius`, `model.axis_lengths`)" msgstr "scikit-image 0.26.0 a introduit des changements majeurs dans les API de `CircleModel` et `EllipseModel` : l'ancienne API utilisait `model.estimate(contour)` + `model.params`, la nouvelle API utilise `model.from_estimate(contour)` + un accès basé sur les propriétés (`model.center`, `model.radius`, `model.axis_lengths`)" msgid "Added version-aware compatibility layer in `sigima.tools.image.preprocessing` with new helper functions `fit_circle_model()` and `fit_ellipse_model()` that handle both old and new APIs" msgstr "Ajout d'une couche de compatibilité sensible à la version dans `sigima.tools.image.preprocessing` avec de nouvelles fonctions d'aide `fit_circle_model()` et `fit_ellipse_model()` qui gèrent les anciennes et nouvelles API" msgid "Updated `get_contour_shapes()` in `sigima.tools.image.detection` to use compatibility functions" msgstr "Mise à jour de `get_contour_shapes()` dans `sigima.tools.image.detection` pour utiliser les fonctions de compatibilité" msgid "Updated `get_enclosing_circle()` in `sigima.tools.image.geometry` to use compatibility functions" msgstr "Mise à jour de `get_enclosing_circle()` dans `sigima.tools.image.geometry` pour utiliser les fonctions de compatibilité" msgid "Used `packaging.version.Version` for robust version checking instead of fragile string parsing" msgstr "Utilisation de `packaging.version.Version` pour une vérification robuste des versions au lieu d'une analyse de chaîne fragile" msgid "Eliminates deprecation warnings while maintaining backward compatibility with Python 3.9 and scikit-image < 0.26" msgstr "Élimine les avertissements de dépréciation tout en maintenant la compatibilité ascendante avec Python 3.9 et scikit-image < 0.26" msgid "This closes [Issue #10](https://github.com/DataLab-Platform/Sigima/issues/10) - Sigima is not compatible with NumPy 2.4.0 and scikit-image 0.26.0" msgstr "Ceci clôture [Issue #10](https://github.com/DataLab-Platform/Sigima/issues/10) - Sigima n'est pas compatible avec NumPy 2.4.0 et scikit-image 0.26.0" msgid "**Compatibility with NumPy 2.4.0**: Fixed centroid computation failure with NumPy 2.4.0's new einsum optimization" msgstr "**Compatibilité avec NumPy 2.4.0** : Correction de l'échec du calcul du centroïde avec la nouvelle optimisation einsum de NumPy 2.4.0" msgid "NumPy 2.4.0 introduced new einsum optimization used by `scikit-image.measure.centroid()` that fails with certain ndarray types" msgstr "NumPy 2.4.0 a introduit une nouvelle optimisation einsum utilisée par `scikit-image.measure.centroid()` qui échoue avec certains types de ndarray" msgid "Fixed by explicitly converting image data to basic NumPy array before calling `measure.centroid()` in `get_centroid_auto()` function" msgstr "Correction en convertissant explicitement les données d'image en tableau NumPy de base avant d'appeler `measure.centroid()` dans la fonction `get_centroid_auto()`" msgid "Ensures compatibility with NumPy 2.4.0+ and scikit-image 0.26.0+ without changing computational results" msgstr "Assure la compatibilité avec NumPy 2.4.0+ et scikit-image 0.26.0+ sans modifier les résultats de calcul" msgid "📦 Dependencies:" msgstr "📦 Dépendances :" msgid "**Dependency version constraints**: Added maximum version constraints to prevent future compatibility issues" msgstr "**Contraintes de version des dépendances** : Ajout de contraintes de version maximale pour éviter les futurs problèmes de compatibilité" msgid "Updated dependency specifications: `NumPy >= 1.22, < 2.5`, `SciPy >= 1.10.1, < 1.17`, `scikit-image >= 0.19.2, < 0.27`, `pandas >= 1.4, < 3.0`, `PyWavelets >= 1.2, < 2.0`" msgstr "Mise à jour des spécifications des dépendances : `NumPy >= 1.22, < 2.5`, `SciPy >= 1.10.1, < 1.17`, `scikit-image >= 0.19.2, < 0.27`, `pandas >= 1.4, < 3.0`, `PyWavelets >= 1.2, < 2.0`" msgid "New CI job `build_latest` runs scheduled tests against latest dependency versions to detect breaking changes early" msgstr "Le nouveau job CI `build_latest` exécute des tests programmés contre les dernières versions des dépendances pour détecter rapidement les changements majeurs" msgid "Prevents automatic breakage from major dependency updates while allowing controlled upgrades after validation" msgstr "Permets d'éviter les régressions dues aux mises à jour majeures des dépendances tout en permettant des mises à niveau contrôlées après validation" msgid "🚀 CI/CD improvements:" msgstr "🚀 Améliorations CI/CD :" msgid "**CI workflow enhancements**: Added automated testing against latest dependency versions" msgstr "**Améliorations du workflow CI** : Ajout de tests automatisés contre les dernières versions des dépendances" msgid "New `build_latest` job in GitHub Actions runs on schedule (weekly) and manual dispatch" msgstr "Nouveau job `build_latest` dans GitHub Actions s'exécute selon un calendrier (hebdomadaire) et sur demande manuelle" msgid "Extracts dependency names from `pyproject.toml` and installs latest available versions" msgstr "Extrait les noms des dépendances de `pyproject.toml` et installe les dernières versions disponibles" msgid "Provides early warning system for upcoming dependency compatibility issues" msgstr "Fournit un système d'alerte précoce pour les futurs problèmes de compatibilité des dépendances" msgid "Enhanced workflow dispatch with configurable job selection for flexible testing scenarios" msgstr "Amélioration du workflow de déclenchement avec une sélection de jobs configurable pour des scénarios de test flexibles" msgid "Sigima Version 1.0.5 (2025-12-19)" msgstr "" msgid "ℹ️ This is a hotfix release addressing a packaging issue where French translations were missing from the previous release package. This release contains no functional changes compared to version 1.0.4 - it only ensures that the compiled translation files (.mo) are properly included in the distribution package." msgstr "ℹ️ Ceci est une version corrective qui résout un problème d'emballage où les traductions françaises manquaient dans le package de la version précédente. Cette version ne contient aucun changement fonctionnel par rapport à la version 1.0.4 - elle garantit uniquement que les fichiers de traduction compilés (.mo) sont correctement inclus dans le package de distribution." msgid "**Packaging**: Fixed missing French translation files in release package" msgstr "**Packaging** : Correction des fichiers de traduction française manquants dans le package de la version précédente" msgid "Previous release packages were missing compiled .mo translation files, causing the application to display only English text regardless of locale settings" msgstr "Les packages de la version précédente ne contenaient pas les fichiers de traduction compilés .mo, ce qui faisait que l'application affichait uniquement du texte en anglais quel que soit les paramètres régionaux" msgid "Updated build process to ensure all translation files are properly included in distribution packages" msgstr "Mise à jour du processus de construction pour garantir que tous les fichiers de traduction sont correctement inclus dans les packages de distribution" msgid "No functional code changes - this is purely a packaging fix to restore internationalization support" msgstr "Aucun changement de code fonctionnel - il s'agit purement d'une correction d'emballage pour restaurer la prise en charge de l'internationalisation" msgid "Sigima Version 1.0.4 (2025-12-18)" msgstr "" msgid "**Image processing: LUT range incorrectly copied to result**: Fixed processed images showing incorrect contrast because LUT range was copied from original" msgstr "**Traitement d'image : plage LUT copiée incorrectement dans le résultat** : Correction des images traitées affichant un contraste incorrect car la plage LUT a été copiée de l'original" msgid "When processing an image (e.g., subtracting offset), the result image inherited the original's LUT range (`zscalemin`/`zscalemax`), causing incorrect visualization when data values changed significantly" msgstr "Lors du traitement d'une image (par exemple, en soustrayant un offset), l'image résultante héritait de la plage LUT de l'original (`zscalemin`/`zscalemax`), ce qui entraînait une visualisation incorrecte lorsque les valeurs de données changeaient de manière significative" msgid "Example: After subtracting ~50 lsb background from an image with LUT 50-200, the result (data range ~-5 to ~175) was still displayed with the original 50-200 LUT, making parts of the image appear clipped or invisible" msgstr "Exemple : Après avoir soustrait un fond d'environ 50 lsb d'une image avec une LUT de 50-200, le résultat (plage de données d'environ -5 à environ 175) était toujours affiché avec la LUT originale de 50-200, rendant certaines parties de l'image coupées ou invisibles" msgid "Fixed by adding image-specific `dst_1_to_1`, `dst_2_to_1`, and `dst_n_to_1` wrapper functions in `sigima.proc.image.base` that reset the LUT range after copying the source image" msgstr "Corrigé en ajoutant des fonctions wrapper spécifiques à l'image `dst_1_to_1`, `dst_2_to_1` et `dst_n_to_1` dans `sigima.proc.image.base` qui réinitialisent la plage LUT après la copie de l'image source" msgid "The `ImageObj.copy()` method remains unchanged (a copy should faithfully copy all attributes) - the fix is applied at the processing layer where it belongs" msgstr "La méthode `ImageObj.copy()` reste inchangée (une copie doit copier fidèlement tous les attributs) - la correction est appliquée à la couche de traitement où elle appartient" msgid "Added regression test `test_image_offset_correction_lut_range` in `offset_correction_unit_test.py`" msgstr "Ajout d'un test de régression `test_image_offset_correction_lut_range` dans `offset_correction_unit_test.py`" msgid "This closes [Issue #9](https://github.com/DataLab-Platform/Sigima/issues/9) - LUT range incorrectly copied when processing images" msgstr "Ceci clôture [Issue #9](https://github.com/DataLab-Platform/Sigima/issues/9) - Plage LUT copiée incorrectement lors du traitement des images" msgid "**Backwards-defined rectangular ROI causes NaN statistics**: Fixed rectangular ROI coordinate normalization when defined in reverse direction" msgstr "**Une ROI rectangulaire définie à l'envers entraîne des statistiques NaN** : Correction de la normalisation des coordonnées de ROI rectangulaire lorsqu'elle est définie en sens inverse" msgid "When a rectangular ROI was drawn graphically \"backwards\" in DataLab (from bottom-right to top-left instead of top-left to bottom-right), statistics analysis returned NaN values" msgstr "Lorsqu'une ROI rectangulaire était dessinée graphiquement « à l'envers » dans DataLab (du coin inférieur droit vers le coin supérieur gauche au lieu du coin supérieur gauche vers le coin inférieur droit), l'analyse statistique retournait des valeurs NaN" msgid "The `RectangularROI.rect_to_coords()` method was producing negative Δx and Δy values when `x1 < x0` or `y1 < y0`" msgstr "La méthode `RectangularROI.rect_to_coords()` produisait des valeurs Δx et Δy négatives lorsque `x1 < x0` ou `y1 < y0`" msgid "Fixed by normalizing coordinates using min/max to ensure Δx and Δy are always positive" msgstr "Corrigé en normalisant les coordonnées avec min/max pour garantir que Δx et Δy sont toujours positifs" msgid "ROI mask generation now works correctly regardless of the direction in which the rectangle was drawn" msgstr "La génération du masque de ROI fonctionne désormais correctement quelle que soit la direction dans laquelle le rectangle a été dessiné" msgid "Added regression test `test_backwards_drawn_rectangle` in `roi_coords_unit_test.py`" msgstr "Ajout d'un test de régression `test_backwards_drawn_rectangle` dans `roi_coords_unit_test.py`" msgid "**Grid ROI - Missing spacing parameters for non-uniform grids**: Fixed grid ROI extraction to support non-uniform feature spacing" msgstr "**ROI de grille - Paramètres d'espacement manquants pour les grilles non uniformes :** Correction de l'extraction ROI de grille pour prendre en charge un espacement des caractéristiques non uniforme" msgid "Grid ROI extraction previously assumed evenly distributed features (spacing = width/nx), which failed for images where features don't fill the entire grid area" msgstr "L'extraction ROI de grille supposait auparavant des caractéristiques uniformément réparties (espacement = largeur/nx), ce qui échouait pour les images où les caractéristiques ne remplissent pas toute la zone de la grille" msgid "Example: `laser_spot_array_raw.png` has laser spots spaced ~300 pixels apart, but the grid was defined over 3100×3100 pixels, causing incorrect ROI placement" msgstr "Exemple : `laser_spot_array_raw.png` a des points laser espacés d'environ 300 pixels, mais la grille était définie sur 3100×3100 pixels, ce qui a causé un placement incorrect des ROI" msgid "Added `xstep` and `ystep` percentage parameters (1-200%, default 100%) to `ROIGridParam` to specify spacing between ROI centers" msgstr "Ajout des paramètres de pourcentage `xstep` et `ystep` (1-200 %, par défaut 100 %) à `ROIGridParam` pour spécifier l'espacement entre les centres des ROI" msgid "Updated `generate_image_grid_roi()` function to use separate step calculation: `dx_step = dx_cell * p.xstep / 100.0`" msgstr "Mise à jour de la fonction `generate_image_grid_roi()` pour utiliser un calcul d'étape séparé : `dx_step = dx_cell * p.xstep / 100.0`" msgid "Position calculation now uses: `x0 = src.x0 + (ic + 0.5) * dx_step + xtrans - 0.5 * dx` (preserving backward compatibility)" msgstr "Le calcul de la position utilise désormais : `x0 = src.x0 + (ic + 0.5) * dx_step + xtrans - 0.5 * dx` (préservant la compatibilité ascendante)" msgid "Default values (100%) maintain exact original behavior for existing workflows" msgstr "Les valeurs par défaut (100 %) maintiennent le comportement original exact pour les flux de travail existants" msgid "This allows precise ROI placement for gapped grids (e.g., laser spot arrays, sample arrays) by adjusting spacing independently of ROI size" msgstr "Cela permet un placement précis des ROI pour les grilles avec des espaces (par exemple, les tableaux de points laser, les tableaux d'échantillons) en ajustant l'espacement indépendamment de la taille des ROI" msgid "**Signal result title formatting**: Fixed duplicate suffix in result titles for image-to-signal functions" msgstr "**Formatage du titre du résultat du signal** : Correction du suffixe en double dans les titres des résultats pour les fonctions image-vers-signal" msgid "When computing radial profile or other operations using `new_signal_result`, the suffix (e.g., center coordinates) was appearing twice in the title" msgstr "Lors du calcul du profil radial ou d'autres opérations utilisant `new_signal_result`, le suffixe (par exemple, les coordonnées du centre) apparaissait deux fois dans le titre" msgid "Example: `radial_profile(i019)|center=(192.500, 192.500)|center=(192.500, 192.500)` instead of `radial_profile(i019)|center=(192.500, 192.500)`" msgstr "Exemple : `radial_profile(i019)|center=(192.500, 192.500)|center=(192.500, 192.500)` au lieu de `radial_profile(i019)|center=(192.500, 192.500)`" msgid "The `new_signal_result` function in `sigima/proc/base.py` was adding the suffix twice: once via the formatter and once explicitly" msgstr "La fonction `new_signal_result` dans `sigima/proc/base.py` ajoutait le suffixe deux fois : une fois via le formateur et une fois explicitement" msgid "Removed the redundant suffix addition - the formatter's `format_1_to_1_title` method already handles suffix formatting correctly" msgstr "Suppression de l'ajout redondant du suffixe - la méthode `format_1_to_1_title` du formateur gère déjà correctement le formatage du suffixe" msgid "Affects functions like `radial_profile`, `histogram`, and other image-to-signal conversions" msgstr "Affecte des fonctions telles que `radial_profile`, `histogram` et d'autres conversions image-vers-signal" msgid "This closes [Issue #8](https://github.com/DataLab-Platform/Sigima/issues/8) - Duplicate suffix in result title when using `new_signal_result`" msgstr "Ceci clôture [Issue #8](https://github.com/DataLab-Platform/Sigima/issues/8) - Suffixe dupliqué dans le titre du résultat lors de l'utilisation de `new_signal_result`" msgid "**HDF5 serialization with detection ROIs**: Fixed workspace save failure when images contain ROIs generated by blob detection" msgstr "**Sérialisation HDF5 avec ROI de détection** : Correction de l'échec de sauvegarde de l'espace de travail lorsque les images contiennent des ROI générées par la détection de blobs" msgid "Saving DataLab workspace to HDF5 format failed with `NotImplementedError: cannot serialize 'rectangle' of type `" msgstr "La sauvegarde de l'espace de travail DataLab au format HDF5 échouait avec `NotImplementedError: cannot serialize 'rectangle' of type `" msgid "The `store_roi_creation_metadata()` function was storing the `DetectionROIGeometry` enum directly in geometry attributes" msgstr "La fonction `store_roi_creation_metadata()` stockait l'énumération `DetectionROIGeometry` directement dans les attributs de géométrie" msgid "Fixed by storing the enum's string value instead of the enum object itself" msgstr "Corrigé en stockant la valeur chaîne de caractères de l'énumération au lieu de l'objet énumération lui-même" msgid "This allows proper HDF5 serialization while preserving the information needed for `apply_detection_rois()` to recreate ROIs" msgstr "Cela permet une sérialisation HDF5 correcte tout en préservant les informations nécessaires pour que `apply_detection_rois()` recrée les ROI" msgid "This closes [Issue #7](https://github.com/DataLab-Platform/Sigima/issues/7) - HDF5 Serialization Fails for Detection ROI Geometry Enum" msgstr "Ceci clôture [Issue #7](https://github.com/DataLab-Platform/Sigima/issues/7) - La sérialisation HDF5 échoue pour l'énumération de la géométrie ROI de détection" msgid "**CSV numeric data import**: Fixed numeric columns being incorrectly interpreted as datetime values ([Issue #6](https://github.com/DataLab-Platform/Sigima/issues/6))" msgstr "**Importation de données numériques CSV** : Correction des colonnes numériques interprétées incorrectement comme des valeurs datetime ([Issue #6](https://github.com/DataLab-Platform/Sigima/issues/6))" msgid "When importing CSV files with large numeric values (e.g., frequencies in Hz like `4.884e+06`), the data was incorrectly converted to datetime timestamps" msgstr "Lors de l'importation de fichiers CSV avec de grandes valeurs numériques (par exemple, des fréquences en Hz comme `4.884e+06`), les données étaient incorrectement converties en horodatages datetime" msgid "The `pd.to_datetime()` function was interpreting numeric values as nanoseconds since Unix epoch, corrupting the original data" msgstr "La fonction `pd.to_datetime()` interprétait les valeurs numériques comme des nanosecondes depuis l'époque Unix, corrompant les données originales" msgid "Added check to skip columns with numeric dtypes in datetime detection - real datetime columns are loaded as string (`object`) dtype" msgstr "Ajout d'une vérification pour ignorer les colonnes avec des types numériques dans la détection de datetime - les vraies colonnes datetime sont chargées comme type chaîne de caractères (`object`)" msgid "Numeric data (frequencies, voltages, etc.) is now correctly preserved during CSV import" msgstr "Les données numériques (fréquences, tensions, etc.) sont désormais correctement préservées lors de l'importation CSV" msgid "📚 Documentation:" msgstr "📚 Documentation :" msgid "**Parameter usage documentation**: Improved documentation for parameters requiring signal/image context ([Issue #5](https://github.com/DataLab-Platform/Sigima/issues/5))" msgstr "**Documentation de l'utilisation des paramètres** : Amélioration de la documentation pour les paramètres nécessitant un contexte de signal/image ([Issue #5](https://github.com/DataLab-Platform/Sigima/issues/5))" msgid "Added comprehensive documentation explaining the `update_from_obj()` pattern for parameters like `ZeroPadding1DParam`" msgstr "Ajout d'une documentation complète expliquant le modèle `update_from_obj()` pour les paramètres tels que `ZeroPadding1DParam`" msgid "Clarified that `sigima.params` is the recommended import location for all parameter classes" msgstr "Clarification que `sigima.params` est l'emplacement d'importation recommandé pour toutes les classes de paramètres" msgid "Enhanced `ZeroPadding1DParam` class docstring with usage example and \"Important\" admonition" msgstr "Amélioration de la docstring de la classe `ZeroPadding1DParam` avec un exemple d'utilisation et une admonition \"Important\"" msgid "Added new section in `sigima.params` module listing all parameters requiring `update_from_obj()`" msgstr "Ajout d'une nouvelle section dans le module `sigima.params` répertoriant tous les paramètres nécessitant `update_from_obj()`" msgid "Created new example `doc/examples/features/zero_padding.py` demonstrating proper parameter initialization" msgstr "Création d'un nouvel exemple `doc/examples/features/zero_padding.py` démontrant l'initialisation correcte des paramètres" msgid "**New ROI grid example**: Added example demonstrating the grid ROI feature" msgstr "" msgid "Introduced `laser_spot_array.png` test image (6×6 laser spot array) to help debug an issue reported in DataLab" msgstr "" msgid "Created new example `doc/examples/features/roi_grid.py` showcasing the `generate_image_grid_roi()` function" msgstr "Création d'un nouvel exemple `doc/examples/features/roi_grid.py` démontrant la fonction `generate_image_grid_roi()`" msgid "Example covers: loading images, extracting sub-regions, generating ROI grids, configuring size/translation/step parameters, understanding direction labels, and extracting individual spots" msgstr "" msgid "Sigima Version 1.0.3 (2025-12-03)" msgstr "" msgid "**Signal data type validation**: Fixed integer arrays not being automatically converted to float64" msgstr "**Validation du type de données du signal** : Correction des tableaux entiers qui n'étaient pas automatiquement convertis en float64" msgid "Integer input arrays are now automatically converted to float64 instead of raising errors" msgstr "Les tableaux d'entrée entiers sont désormais automatiquement convertis en float64 au lieu de générer des erreurs" msgid "Validation applied consistently across all signal data setters: `set_xydata()`, `x`, `y`, `dx`, `dy`" msgstr "La validation est appliquée de manière cohérente à tous les accesseurs de données de signal : `set_xydata()`, `x`, `y`, `dx`, `dy`" msgid "Improves usability by accepting integer inputs (common in test data and calibration values) while maintaining computational precision" msgstr "Améliore l'utilisabilité en acceptant les entrées entières (courantes dans les données de test et les valeurs d'étalonnage) tout en maintenant la précision de calcul" msgid "Raises clear `ValueError` for truly invalid dtypes with helpful error message listing valid types" msgstr "Lève une exception `ValueError` claire pour les types de données vraiment invalides avec un message d'erreur utile répertoriant les types valides" msgid "**Signal axis calibration**: Added `replace_x_by_other_y()` function to replace signal X coordinates with Y values from another signal" msgstr "**Étalonnage de l'axe des signaux** : Ajout de la fonction `replace_x_by_other_y()` pour remplacer les coordonnées X d'un signal par les valeurs Y d'un autre signal" msgid "Addresses missing functionality for wavelength calibration and similar use cases where calibration data is stored in a separate signal's Y values" msgstr "Répond à un manque de fonctionnalité pour l'étalonnage en longueur d'onde et des cas d'utilisation similaires où les données d'étalonnage sont stockées dans les valeurs Y d'un signal séparé" msgid "This operation was previously impossible, even if the ambiguous X-Y mode feature existed and seemed related to this use case (but this feature performs resampling/interpolation, which is not desired here)" msgstr "Cette opération était auparavant impossible, même si la fonctionnalité ambiguë du mode X-Y existait et semblait liée à ce cas d'utilisation (mais cette fonctionnalité effectue un rééchantillonnage/interpolation, ce qui n'est pas souhaité ici)" msgid "The new function directly uses Y arrays from both signals without interpolation, requiring signals to have the same number of points" msgstr "La nouvelle fonction utilise directement les tableaux Y des deux signaux sans interpolation, nécessitant que les signaux aient le même nombre de points" msgid "Takes two signals: first provides Y data for output, second provides Y data to become X coordinates" msgstr "A partir de deux signaux en entrée : le premier fournit les données Y pour la sortie, le second fournit les données Y qui deviendront les coordonnées X" msgid "Automatically transfers metadata: X label/unit from second signal's Y label/unit, Y label/unit preserved from first signal" msgstr "Transfert automatique des métadonnées : étiquette/unité X à partir de l'étiquette/unité Y du second signal, étiquette/unité Y préservée du premier signal" msgid "Typical use case: spectroscopy wavelength calibration (combine absorption measurements with wavelength scale)" msgstr "Cas d'utilisation typique : étalonnage en longueur d'onde en spectroscopie (combiner les mesures d'absorption avec l'échelle de longueur d'onde)" msgid "This closes [Issue #4](https://github.com/DataLab-Platform/Sigima/issues/4) - Missing functionality: Replace X coordinates with Y values from another signal for calibration" msgstr "Ceci clôture [Issue #4](https://github.com/DataLab-Platform/Sigima/issues/4) - Fonctionnalité manquante : Remplacer les coordonnées X par les valeurs Y d'un autre signal pour l'étalonnage" msgid "Signal title formatting:" msgstr "Formatage des titres de signaux :" msgid "**Polynomial signal titles**: Fixed polynomial signal title generation to display mathematical notation (e.g., `1+2x-3x²+4x³`) instead of verbose parameter listing (e.g., `polynomial(a0=1,a1=2,a2=-3,a3=4,a4=0,a5=0)`)" msgstr "**Titres de signaux polynomiaux** : Correction de la génération des titres de signaux polynomiaux pour afficher une notation mathématique (par exemple, `1+2x-3x²+4x³`) au lieu d'une liste de paramètres verbeuse (par exemple, `polynomial(a0=1,a1=2,a2=-3,a3=4,a4=0,a5=0)`)" msgid "The `PolyParam.generate_title()` method now constructs proper mathematical expressions with correct sign handling, coefficient simplification (e.g., `x` instead of `1x`, `-x` instead of `-1x`), and exponent notation using `^` symbol" msgstr "La méthode `PolyParam.generate_title()` construit désormais des expressions mathématiques appropriées avec une gestion correcte des signes, une simplification des coefficients (par exemple, `x` au lieu de `1x`, `-x` au lieu de `-1x`) et une notation des exposants utilisant le symbole `^`" msgid "Improves readability in DataLab GUI and signal listings by presenting polynomials in standard mathematical form" msgstr "Améliore la lisibilité dans l'interface graphique de DataLab et les listes de signaux en présentant les polynômes sous une forme mathématique standard" msgid "Zero coefficients are automatically omitted from the expression (e.g., `1+x+x³` when a2=0)" msgstr "Les coefficients nuls sont automatiquement omis de l'expression (par exemple, `1+x+x³` lorsque a2=0)" msgid "Handles edge cases including all-zero polynomials (returns `\"0\"`), single terms, and negative coefficients" msgstr "Gère les cas limites, y compris les polynômes tous nuls (renvoie `\"0\"`), les termes uniques et les coefficients négatifs" msgid "This closes [Issue #3](https://github.com/DataLab-Platform/Sigima/issues/3) - Polynomial signal titles should use mathematical notation instead of parameter listing" msgstr "Ceci clôture [Issue #3](https://github.com/DataLab-Platform/Sigima/issues/3) - Les titres des signaux polynomiaux doivent utiliser une notation mathématique au lieu d'une liste de paramètres" msgid "ROI data extraction:" msgstr "Extraction de données ROI :" msgid "Fixed `ValueError: zero-size array to reduction operation minimum which has no identity` error when computing statistics on images with ROI extending beyond canvas boundaries" msgstr "Correction de l'erreur `ValueError: zero-size array to reduction operation minimum which has no identity` lors du calcul des statistiques sur des images avec ROI s'étendant au-delà des limites de la zone de dessin" msgid "The `ImageObj.get_data()` method now properly clips ROI bounding boxes to image boundaries" msgstr "La méthode `ImageObj.get_data()` limite désormais correctement les boîtes englobantes des ROI aux limites de l'image" msgid "When a ROI is completely outside the image bounds, returns a fully masked 1x1 array (containing NaN) to avoid zero-size array errors in statistics computations" msgstr "Lorsqu'une ROI est complètement en dehors des limites de l'image, renvoie un tableau 1x1 entièrement masqué (contenant NaN) pour éviter les erreurs de tableau de taille zéro dans les calculs statistiques" msgid "Partial overlap ROIs are correctly handled by clipping coordinates to valid image ranges" msgstr "Les ROI partiellement superposées sont correctement gérées en limitant les coordonnées aux plages valides de l'image" msgid "This fix ensures robust statistics computation regardless of ROI position relative to image boundaries" msgstr "Ce correctif garantit un calcul statistique robuste quel que soit la position de la ROI par rapport aux limites de l'image" msgid "This closes [Issue #1](https://github.com/DataLab-Platform/Sigima/issues/1) - `ValueError` when computing statistics on ROI extending beyond image boundaries" msgstr "Ceci clôture [Issue #1](https://github.com/DataLab-Platform/Sigima/issues/1) - `ValueError` lors du calcul des statistiques sur ROI s'étendant au-delà des limites de l'image" msgid "Sigima Version 1.0.2 (2025-11-12)" msgstr "" msgid "✨ New features and enhancements:" msgstr "✨ Nouvelles fonctionnalités et améliorations:" msgid "**New parametric image types**: Added five new parametric image generation types for testing and calibration" msgstr "**Nouveaux types d'images paramétriques** : Ajout de cinq nouveaux types de génération d'images paramétriques pour les tests et l'étalonnage" msgid "**Checkerboard pattern**: Alternating squares for camera calibration and spatial frequency analysis. Parameters include square size, offset, and min/max values" msgstr "**Motif en damier** : Carrés alternés pour l'étalonnage de la caméra et l'analyse de la fréquence spatiale. Les paramètres incluent la taille des carrés, le décalage et les valeurs min/max" msgid "**Sinusoidal grating**: Frequency response testing with configurable spatial frequencies (fx, fy), phase, amplitude, and DC offset" msgstr "**Réseau sinusoïdal** : Test de la réponse en fréquence avec des fréquences spatiales configurables (fx, fy), phase, amplitude et offset DC" msgid "**Ring pattern**: Concentric circular rings for radial analysis. Configurable period, width, center position, and amplitude range" msgstr "**Motif en anneau** : Anneaux circulaires concentriques pour l'analyse radiale. Période, largeur, position centrale et plage d'amplitude configurables" msgid "**Siemens star**: Resolution testing pattern with radial spokes. Parameters include number of spokes, inner/outer radius, center position, and value range" msgstr "**Étoile de Siemens** : Motif de test de résolution avec des rayons radiaux. Les paramètres incluent le nombre de rayons, le rayon intérieur/extérieur, la position centrale et la plage de valeurs" msgid "**2D sinc function**: PSF/diffraction modeling with cardinal sine function. Configurable amplitude, center, scale factor (sigma), and DC offset" msgstr "**Fonction sinc 2D** : Modélisation PSF/diffraction avec la fonction sinus cardinal. Amplitude, centre, facteur d'échelle (sigma) et offset DC configurables" msgid "**GeometryResult.value property**: New convenience property for easy script access to computed geometry values" msgstr "**Propriété GeometryResult.value** : Nouvelle propriété de commodité pour un accès facile aux valeurs géométriques calculées dans les scripts" msgid "Supports POINT, MARKER, and SEGMENT shapes" msgstr "Prend en charge les formes POINT, MARKER et SEGMENT" msgid "Returns `(x, y)` tuple for POINT and MARKER shapes (both coordinates accessible)" msgstr "Renvoie un tuple `(x, y)` pour les formes POINT et MARKER (les deux coordonnées accessibles)" msgid "Returns `float` length for SEGMENT shapes (calculated via `segments_lengths()`)" msgstr "Renvoie une longueur `float` pour les formes SEGMENT (calculée via `segments_lengths()`)" msgid "Return type annotation: `float | tuple[float, float]`" msgstr "Annotation de type de retour : `float | tuple[float, float]`" msgid "Provides intuitive API: unpack coordinates with `x, y = result.value` or get length with `length = result.value`" msgstr "Fournit une API intuitive : déballer les coordonnées avec `x, y = result.value` ou obtenir la longueur avec `length = result.value`" msgid "Comprehensive error handling for unsupported shapes and multi-row results" msgstr "Gestion complète des erreurs pour les formes non prises en charge et les résultats à plusieurs lignes" msgid "**Signal analysis functions return GeometryResult**: Changed `x_at_y()` and `y_at_x()` to return geometry results for better visualization" msgstr "**Les fonctions d'analyse de signal renvoient GeometryResult** : Modification de `x_at_y()` et `y_at_x()` pour renvoyer des résultats géométriques pour une meilleure visualisation" msgid "`x_at_y()` now returns `GeometryResult` with `MARKER` kind (previously returned `TableResult`)" msgstr "`x_at_y()` renvoie désormais `GeometryResult` avec le type `MARKER` (au lieu de `TableResult`)" msgid "`y_at_x()` now returns `GeometryResult` with `MARKER` kind (previously returned `TableResult`)" msgstr "`y_at_x()` renvoie désormais `GeometryResult` avec le type `MARKER` (au lieu de `TableResult`)" msgid "Both functions return coordinates as `[x, y]` in N×2 array format for cross marker display" msgstr "Les deux fonctions renvoient les coordonnées sous la forme d'un tableau N×2 pour l'affichage des marqueurs croisés" msgid "Enables proper marker visualization in DataLab GUI (displayed as cross markers on plots)" msgstr "Permet une visualisation correcte des marqueurs dans l'interface graphique de DataLab (affichés comme des marqueurs croisés sur les graphiques)" msgid "Script-friendly API: use `.value` property to easily extract coordinates as `(x, y)` tuple" msgstr "API conviviale pour les scripts : utilisez la propriété `.value` pour extraire facilement les coordonnées sous forme de tuple `(x, y)`" msgid "Example: `x, y = proxy.compute_x_at_y(params).value` provides direct access to both coordinates" msgstr "Exemple : `x, y = proxy.compute_x_at_y(params).value` fournit un accès direct aux deux coordonnées" msgid "Breaking change: Scripts accessing results as tables need to update to use `.value` property or `.coords` array" msgstr "Changement majeur : Les scripts accédant aux résultats sous forme de tableaux doivent être mis à jour pour utiliser la propriété `.value` ou le tableau `.coords`" msgid "Detection functions:" msgstr "Fonctions de détection :" msgid "**Contour detection**: Removed ROI creation support from `ContourShapeParam` as it doesn't make sense for contour detection use cases. The `ContourShapeParam` class no longer inherits from `DetectionROIParam`, and the `contour_shape()` function no longer calls `store_roi_creation_metadata()`. ROI creation remains available for other detection methods (blob detection, 2D peak detection) where it is appropriate." msgstr "**Détection de contours** : Suppression du support de création de ROI dans `ContourShapeParam`, car cela n'a pas de sens pour les cas d'utilisation de détection de contours. La classe `ContourShapeParam` n'hérite plus de `DetectionROIParam`, et la fonction `contour_shape()` n'appelle plus `store_roi_creation_metadata()`. La création de ROI reste disponible pour d'autres méthodes de détection (détection de blobs, détection de pics 2D) où cela est approprié." msgid "**ROI creation error handling**: Enhanced error handling in `create_image_roi_around_points()` function to provide clearer error messages:" msgstr "**Gestion des erreurs de création de ROI** : Amélioration de la gestion des erreurs dans la fonction `create_image_roi_around_points()` pour fournir des messages d'erreur plus clairs :" msgid "Now raises `ValueError` when calculated ROI size is too small (points too close together)" msgstr "Lève désormais une exception `ValueError` lorsque la taille de ROI calculée est trop petite (points trop proches les uns des autres)" msgid "Improved error messages to help users understand the cause of failures" msgstr "Messages d'erreur améliorés pour aider les utilisateurs à comprendre la cause des échecs" msgid "Validates ROI geometry parameter more explicitly" msgstr "Valide le paramètre de géométrie de ROI de manière plus explicite" msgid "Better handling of edge cases in automatic ROI sizing" msgstr "Meilleure gestion des cas limites dans le dimensionnement automatique des ROI" msgid "Public API:" msgstr "API publique :" msgid "Made `BaseObj.roi_has_changed` method private (by renaming to `BaseObj.__roi_has_changed`) to avoid accidental external usage. This would interfere with the internal mask refresh mechanism that relies on controlled access to this method. The method is not part of the public API and should not be called directly by applications." msgstr "La méthode `BaseObj.roi_has_changed` a été rendue privée (en la renommant en `BaseObj.__roi_has_changed`) pour éviter une utilisation externe accidentelle. Cela interférerait avec le mécanisme interne de rafraîchissement des masques qui repose sur un accès contrôlé à cette méthode. La méthode ne fait pas partie de l'API publique et ne doit pas être appelée directement par les applications." msgid "Sigima Version 1.0.1 (2025-11-05)" msgstr "" msgid "**Detection ROI creation**: Generic mechanism for ROI creation across all detection functions" msgstr "**Création de ROI de détection** : Mécanisme générique de création de ROI pour toutes les fonctions de détection" msgid "New `DetectionROIParam` parameter class providing standardized ROI creation fields" msgstr "Nouvelle classe de paramètres `DetectionROIParam` fournissant des champs de création de ROI standardisés" msgid "`create_rois`: Boolean flag to enable/disable ROI creation (default: False)" msgstr "`create_rois`: Indicateur booléen pour activer/désactiver la création de ROI (par défaut : Faux)" msgid "`roi_geometry`: Enum selecting ROI shape (RECTANGLE or CIRCLE, default: RECTANGLE)" msgstr "`roi_geometry`: Enum sélectionnant la forme de la ROI (RECTANGLE ou CIRCLE, par défaut : RECTANGLE)" msgid "New `DetectionROIGeometry` enum in `sigima.enums` with RECTANGLE and CIRCLE options" msgstr "Nouvel énuméré `DetectionROIGeometry` dans `sigima.enums` avec les options RECTANGLE et CIRCLE" msgid "All detection parameter classes now inherit from `DetectionROIParam`:" msgstr "Toutes les classes de paramètres de détection héritent désormais de `DetectionROIParam` :" msgid "`Peak2DDetectionParam`: 2D peak detection" msgstr "`Peak2DDetectionParam`: Détection de pics 2D" msgid "`ContourShapeParam`: Contour shape fitting" msgstr "`ContourShapeParam`: Ajustement de la forme du contour" msgid "`BlobDOGParam`, `BlobDOHParam`, `BlobLOGParam`, `BlobOpenCVParam`: Blob detection methods" msgstr "`BlobDOGParam`, `BlobDOHParam`, `BlobLOGParam`, `BlobOpenCVParam`: Méthodes de détection de blobs" msgid "`HoughCircleParam`: Hough circle detection" msgstr "`HoughCircleParam`: Détection de cercles de Hough" msgid "New `store_roi_creation_metadata()` helper function:" msgstr "Nouvelle fonction d'assistance `store_roi_creation_metadata()` :" msgid "Stores ROI creation intent in `GeometryResult.attrs` dictionary" msgstr "Stocke l'intention de création de ROI dans le dictionnaire `GeometryResult.attrs`" msgid "Called within computation functions to communicate ROI preferences" msgstr "Appelée dans les fonctions de calcul pour communiquer les préférences de ROI" msgid "Does not violate function purity (no object modification)" msgstr "Ne contrevient pas à la pureté de la fonction (pas de modification d'objet)" msgid "New `apply_detection_rois()` helper function:" msgstr "Nouvelle fonction d'assistance `apply_detection_rois()` :" msgid "Creates ROIs on image objects based on `GeometryResult.attrs` metadata" msgstr "Crée des ROIs sur des objets d'image en fonction des métadonnées `GeometryResult.attrs`" msgid "Returns `True` if ROIs were created, `False` otherwise" msgstr "Renvoie `True` si des ROI ont été créées, `False` sinon" msgid "Handles both rectangle and circle geometries" msgstr "Gère les géométries rectangulaires et circulaires" msgid "Automatically calculates optimal ROI size based on feature spacing" msgstr "Calcule automatiquement la taille optimale de la ROI en fonction de l'espacement des caractéristiques" msgid "Can be called by applications outside computation functions" msgstr "Peut être appelé par des applications en dehors des fonctions de calcul" msgid "Metadata-based architecture maintains separation of concerns:" msgstr "L'architecture basée sur les métadonnées maintient la séparation des concepts :" msgid "Computation functions remain pure (no side effects)" msgstr "Les fonctions de calcul restent pures (pas d'effets de bord)" msgid "Applications control when/how ROIs are created" msgstr "Les applications contrôlent quand/comment les ROI sont créées" msgid "Works seamlessly with multiprocessing engines (e.g., DataLab processors)" msgstr "Fonctionne sans problème avec les moteurs de traitement parallèle (par exemple, les processeurs DataLab)" msgid "Comprehensive test coverage with `validate_detection_rois()` helper in test suite" msgstr "Couverture de test complète avec l'assistant `validate_detection_rois()` dans la suite de tests" msgid "**Automatic `func_name` injection for result objects**" msgstr "**Injection automatique de `func_name` pour les objets de résultat**" msgid "The `@computation_function` decorator now automatically injects the function name into `TableResult` and `GeometryResult` objects" msgstr "Le décorateur `@computation_function` injecte désormais automatiquement le nom de la fonction dans les objets `TableResult` et `GeometryResult`" msgid "When a computation function returns a result object with `func_name=None`, the decorator sets it to the function's name using `dataclasses.replace()`" msgstr "Lorsqu'une fonction de calcul renvoie un objet de résultat avec `func_name=None`, le décorateur le définit au nom de la fonction en utilisant `dataclasses.replace()`" msgid "Ensures systematic assignment of `func_name` for proper result tracking and display" msgstr "Garantit l'attribution systématique de `func_name` pour un suivi et un affichage appropriés des résultats" msgid "Implementation uses direct `isinstance()` type checking for `TableResult` and `GeometryResult`" msgstr "L'implémentation utilise la vérification directe de type `isinstance()` pour `TableResult` et `GeometryResult`" msgid "Applies to both main decorator wrapper (with DataSet parameters) and simple passthrough wrapper" msgstr "S'applique à la fois au wrapper principal du décorateur (avec les paramètres DataSet) et au wrapper de passage simple" msgid "Eliminates need for manual `func_name` assignment in computation functions" msgstr "Élimine le besoin d'attribution manuelle de `func_name` dans les fonctions de calcul" msgid "**Image ROI creation utility**: New `create_image_roi_around_points()` function in `sigima.objects.image.roi`" msgstr "**Utilitaire de création de ROI d'image** : Nouvelle fonction `create_image_roi_around_points()` dans `sigima.objects.image.roi`" msgid "Creates rectangular or circular ROIs around a set of point coordinates" msgstr "Crée des ROI rectangulaires ou circulaires autour d'un ensemble de coordonnées de points" msgid "Automatically calculates optimal ROI size based on minimum distance between points" msgstr "Calcule automatiquement la taille optimale de la ROI en fonction de la distance minimale entre les points" msgid "Handles boundary conditions to keep ROIs within valid image coordinates" msgstr "Gère les conditions de bord pour maintenir les ROI dans des coordonnées d'image valides" msgid "Supports both \"rectangle\" and \"circle\" geometry types" msgstr "Prend en charge les types de géométrie \"rectangle\" et \"cercle\"" msgid "Designed for creating ROIs around detected features (peaks, blobs, etc.)" msgstr "Conçu pour créer des ROI autour des caractéristiques détectées (pics, blobs, etc.)" msgid "Centralizes ROI creation logic previously duplicated across applications" msgstr "Centralise la logique de création de ROI précédemment dupliquée dans les applications" msgid "**Annotations API**: New public API for managing annotations on Signal and Image objects" msgstr "**API d'annotations** : Nouvelle API publique pour la gestion des annotations sur les objets Signal et Image" msgid "Added `get_annotations()` method: Returns a list of annotations in versioned JSON format" msgstr "Ajout de la méthode `get_annotations()` : Renvoie une liste d'annotations au format JSON versionné" msgid "Added `set_annotations(annotations)` method: Sets annotations from a list (replaces existing annotations)" msgstr "Ajout de la méthode `set_annotations(annotations)` : Définit les annotations à partir d'une liste (remplace les annotations existantes)" msgid "Added `add_annotation(annotation)` method: Adds a single annotation to the object" msgstr "Ajout de la méthode `add_annotation(annotation)` : Ajoute une seule annotation à l'objet" msgid "Added `clear_annotations()` method: Removes all annotations from the object" msgstr "Ajout de la méthode `clear_annotations()` : Supprime toutes les annotations de l'objet" msgid "Added `has_annotations()` method: Returns True if the object has any annotations" msgstr "Ajout de la méthode `has_annotations()` : Renvoie True si l'objet a des annotations" msgid "Annotations are stored in object metadata with versioning support (currently version \"1.0\")" msgstr "Les annotations sont stockées dans les métadonnées de l'objet avec un support de versionnage (actuellement version \"1.0\")" msgid "Each annotation is a dictionary with keys such as `type`, `item_class`, and `item_json` (for example)" msgstr "Chaque annotation est un dictionnaire avec des clés telles que `type`, `item_class` et `item_json` (par exemple)" msgid "Provides clean separation between generic annotation storage and visualization-specific details" msgstr "Fournit une séparation claire entre le stockage générique des annotations et les détails spécifiques à la visualisation" msgid "Enables applications to manage plot annotations (shapes, labels, etc.) independently of ROIs" msgstr "Permet aux applications de gérer les annotations de tracé (formes, étiquettes, etc.) indépendamment des ROI" msgid "Fully compatible with DataLab's PlotPy adapter pattern for visualization" msgstr "Entièrement compatible avec le modèle d'adaptateur PlotPy de DataLab pour la visualisation" msgid "**2D peak detection**: Fixed architectural violation in `peak_detection()` computation function" msgstr "**Détection de pics 2D** : Correction d'une violation architecturale dans la fonction de calcul `peak_detection()`" msgid "Removed direct ROI creation from computation function (was modifying input objects)" msgstr "Suppression de la création directe de ROI dans la fonction de calcul (modifiait les objets d'entrée)" msgid "Computation functions decorated with `@computation_function()` must be pure (no side effects)" msgstr "Les fonctions de calcul décorées avec `@computation_function()` doivent être pures (pas d'effets de bord)" msgid "Removed line 128: `obj.roi = create_image_roi(...)` which violated this principle" msgstr "Suppression de la ligne 128 : `obj.roi = create_image_roi(...)` qui contrevenait à ce principe" msgid "ROI creation now handled by applications in their presentation layer" msgstr "La création de ROI est désormais gérée par les applications dans leur couche de présentation" msgid "DataLab uses new `create_image_roi_around_points()` utility for this purpose" msgstr "DataLab utilise la nouvelle utilité `create_image_roi_around_points()` à cet effet" msgid "Maintains separation of concerns: Sigima computes results, applications create visual representations" msgstr "Maintient la séparation des concepts : Sigima calcule les résultats, les applications créent des représentations visuelles" msgid "Fixes regression where ROIs were not appearing in DataLab's processor-based workflow" msgstr "Corrige la régression où les ROI n'apparaissaient pas dans le flux de travail basé sur les processeurs de DataLab" msgid "**Parameter classes**: Removed default titles from generic `OrdinateParam` and `AbscissaParam` classes" msgstr "**Classes de paramètres** : Suppression des titres par défaut des classes génériques `OrdinateParam` et `AbscissaParam`" msgid "These parameter classes are reused across multiple computation functions (e.g., `full_width_at_y`, `x_at_y`)" msgstr "Ces classes de paramètres sont réutilisées dans plusieurs fonctions de calcul (par exemple, `full_width_at_y`, `x_at_y`)" msgid "Default titles like \"Ordinate\" created redundancy when displayed with function names in analysis results" msgstr "Des titres par défaut comme \"Ordinate\" créaient une redondance lorsqu'ils étaient affichés avec les noms de fonction dans les résultats d'analyse." msgid "Titles are now empty by default, allowing applications to provide context-specific titles when needed" msgstr "Les titres sont désormais vides par défaut, permettant aux applications de fournir des titres spécifiques au contexte si nécessaire." msgid "Improves clarity when the same parameter class is used by different functions" msgstr "Améliore la clarté lorsque la même classe de paramètres est utilisée par différentes fonctions." msgid "**Result HTML representation**: Improved color contrast for dark mode" msgstr "Représentation HTML des résultats : amélioration du contraste des couleurs pour le mode sombre" msgid "Changed result title color in `to_html()` methods from standard blue (#0000FF) to a lighter shade (#5294e2)" msgstr "Changement de la couleur du titre des résultats dans les méthodes `to_html()` de bleu standard (#0000FF) à une teinte plus claire (#5294e2)" msgid "Affects TableResult and GeometryResult HTML output" msgstr "Affecte la sortie HTML de TableResult et GeometryResult" msgid "Provides better visibility in dark mode while maintaining good appearance in light mode" msgstr "Offre une meilleure visibilité en mode sombre tout en maintenant une bonne apparence en mode clair" msgid "Improves readability when results are displayed in applications with dark themes" msgstr "Améliore la lisibilité lorsque les résultats sont affichés dans des applications avec des thèmes sombres" msgid "Fixed pulse features extraction with ROI signals. When extracting pulse features from signals with ROIs, the start/end range parameters (which apply to the full signal) were being used on ROI-extracted data, causing incorrect results. Now `extract_pulse_features()` detects when the parameter ranges are outside the ROI's x-range and automatically switches to auto-detection mode. Additionally, `extract_pulse_features()` in `sigima.tools.signal.pulse` now properly initializes `None` ranges using `get_start_range()` and `get_end_range()` with the `fraction` parameter. This ensures pulse features extracted from a signal with ROIs match the features extracted from individually extracted ROI signals." msgstr "Correction de l'extraction des caractéristiques des impulsions avec des signaux ROI. Lors de l'extraction des caractéristiques des impulsions à partir de signaux avec des ROI, les paramètres de plage de début/fin (qui s'appliquent au signal complet) étaient utilisés sur les données extraites des ROI, ce qui entraînait des résultats incorrects. Désormais, `extract_pulse_features()` détecte lorsque les plages de paramètres sont en dehors de la plage x de la ROI et passe automatiquement en mode de détection automatique. De plus, `extract_pulse_features()` dans `sigima.tools.signal.pulse` initialise désormais correctement les plages `None` en utilisant `get_start_range()` et `get_end_range()` avec le paramètre `fraction`. Cela garantit que les caractéristiques des impulsions extraites d'un signal avec des ROI correspondent aux caractéristiques extraites des signaux ROI extraits individuellement." msgid "Fixed ROI extraction for signals: ROIs are no longer incorrectly copied to destination signals when extracting ROIs. When using `extract_roi()` or `extract_rois()`, the extracted signals now have no ROI defined, which is the expected behavior since the extracted data already represents the ROI itself. This fixes the issue where extracted signals would inherit the source signal's ROI definitions." msgstr "Correction de l'extraction des ROI pour les signaux : les ROI ne sont plus copiées vers les signaux de destination lors de l'extraction des ROI. Lors de l'utilisation de `extract_roi()` ou `extract_rois()`, les signaux extraits n'ont désormais aucune ROI définie, ce qui est le comportement attendu puisque les données extraites représentent déjà la ROI elle-même. Cela corrige le problème où les signaux extraits hériterait des définitions de ROI du signal source." msgid "Fixed pulse features computation to be ROI-exclusive when ROIs are defined. Previously, `TableKind.PULSE_FEATURES` incorrectly computed results for both the whole object and each ROI. This made no sense for pulse analysis, where defining ROIs indicates the presence of multiple pulses, making whole-object features irrelevant. Now `PULSE_FEATURES` correctly computes only on ROIs when they exist, otherwise on the whole object. `TableKind.STATISTICS` and `TableKind.CUSTOM` maintain the expected behavior (whole object + ROIs)." msgstr "Correction de l'extraction des caractéristiques des impulsions pour qu'elle soit exclusive aux ROI lorsque des ROI sont définies. Auparavant, `TableKind.PULSE_FEATURES` calculait incorrectement les résultats à la fois pour l'objet entier et pour chaque ROI. Cela n'avait pas de sens pour l'analyse des impulsions, où la définition des ROI indique la présence de plusieurs impulsions, rendant les caractéristiques de l'objet entier non pertinentes. Désormais, `PULSE_FEATURES` calcule correctement uniquement sur les ROI lorsqu'elles existent, sinon sur l'objet entier. `TableKind.STATISTICS` et `TableKind.CUSTOM` conservent le comportement attendu (objet entier + ROI)." msgid "Fixed `ValueError` in `choose_savgol_window_auto()` when processing small data arrays (e.g., ROI segments). The function now properly constrains the Savitzky-Golay window length to be strictly less than the array size, as required by scipy's `mode='interp'` option. This fixes the issue when extracting pulse features from small ROI segments in signals." msgstr "Correction de `ValueError` dans `choose_savgol_window_auto()` lors du traitement de petits tableaux de données (par exemple, des segments ROI). La fonction contraint désormais correctement la longueur de la fenêtre Savitzky-Golay à être strictement inférieure à la taille du tableau, comme l'exige l'option `mode='interp'` de scipy. Cela corrige le problème lors de l'extraction des caractéristiques des impulsions à partir de petits segments ROI dans les signaux." msgid "Modified `RadialProfileParam` to allow initialization of the dataset even when the associated image object is not yet set (call to `update_from_obj`). This is useful when creating the parameter object before assigning the image, enabling more flexible workflows." msgstr "Modification de `RadialProfileParam` pour permettre l'initialisation de l'ensemble de données même lorsque l'objet image associé n'est pas encore défini (appel à `update_from_obj`). Cela est utile lors de la création de l'objet paramètre avant d'assigner l'image, permettant des flux de travail plus flexibles." msgid "Removed unused `signals_to_array()` function from `sigima.proc.signal.arithmetic` module. This function was not used anywhere in the codebase and has been replaced by direct NumPy array construction in `__signals_y_to_array()` and `__signals_dy_to_array()` functions, for internal use only." msgstr "Suppression de la fonction inutilisée `signals_to_array()` du module `sigima.proc.signal.arithmetic`. Cette fonction n'était utilisée nulle part dans la base de code et a été remplacée par une construction directe de tableau NumPy dans les fonctions `__signals_y_to_array()` et `__signals_dy_to_array()`, pour un usage interne uniquement." msgid "**ROI coordinate setters**: Fixed bugs in `set_physical_coords()` and `set_indices_coords()` methods" msgstr "**Méthodes de définition des coordonnées ROI** : Correction des bogues dans les méthodes `set_physical_coords()` et `set_indices_coords()`" msgid "Fixed `RectangularROI.set_physical_coords()`: Now correctly stores coordinates in delta format `[x0, y0, dx, dy]` instead of corner format `[x0, y0, x1, y1]` when `indices=True`" msgstr "Correction de `RectangularROI.set_physical_coords()` : Maintenant, les coordonnées sont correctement stockées au format delta `[x0, y0, dx, dy]` au lieu du format coin `[x0, y0, x1, y1]` lorsque `indices=True`" msgid "Fixed `BaseSingleROI.set_indices_coords()`: Now correctly converts the input `coords` parameter instead of `self.coords` when `indices=False`" msgstr "Correction de `BaseSingleROI.set_indices_coords()` : Maintenant, le paramètre d'entrée `coords` est correctement converti au lieu de `self.coords` lorsque `indices=False`" msgid "These methods were implemented for API completeness but were not used in the Sigima/DataLab codebase" msgstr "Ces méthodes ont été implémentées pour compléter l'API mais n'ont pas été utilisées dans la base de code Sigima/DataLab" msgid "Added comprehensive unit tests covering all ROI types (rectangular, circular, polygonal) and edge cases" msgstr "Ajout de tests unitaires complets couvrant tous les types de ROI (rectangulaire, circulaire, polygonal) et les cas limites" msgid "Sigima Version 1.0.0 (2025-10-28)" msgstr "" msgid "**Signals to image conversion**: New feature to combine multiple signals into a 2D image" msgstr "**Conversion de signaux en image** : Nouvelle fonctionnalité pour combiner plusieurs signaux en une image 2D" msgid "New computation function `signals_to_image()` in `sigima.proc.signal.arithmetic`" msgstr "Nouvelle fonction de calcul `signals_to_image()` dans `sigima.proc.signal.arithmetic`" msgid "Takes a list of signals and combines them into an image by stacking Y-arrays" msgstr "Prend une liste de signaux et les combine en une image en empilant des tableaux Y" msgid "Two orientation modes:" msgstr "Deux modes d'orientation :" msgid "**Rows**: Each signal becomes a row in the image (default)" msgstr "**Lignes** : Chaque signal devient une ligne dans l'image (par défaut)" msgid "**Columns**: Each signal becomes a column in the image" msgstr "**Colonnes** : Chaque signal devient une colonne dans l'image" msgid "Optional normalization:" msgstr "Normalisation facultative :" msgid "Supports multiple normalization methods (Z-score, Min-Max, Maximum)" msgstr "Prend en charge plusieurs méthodes de normalisation (Z-score, Min-Max, Maximum)" msgid "Normalizes each signal independently before stacking" msgstr "Normalise chaque signal indépendamment avant l'empilement" msgid "Useful for visualizing signals with different amplitude ranges" msgstr "Utile pour visualiser des signaux avec différentes plages d'amplitude" msgid "Validates that all signals have the same size before combining" msgstr "Valide que tous les signaux ont la même taille avant de les combiner" msgid "New parameter class `SignalsToImageParam` with orientation and normalization settings" msgstr "Nouvelle classe de paramètres `SignalsToImageParam` avec des paramètres d'orientation et de normalisation" msgid "New enum `SignalsToImageOrientation` for specifying row/column orientation" msgstr "Nouvel énuméré `SignalsToImageOrientation` pour spécifier l'orientation des lignes/colonnes" msgid "Comprehensive validation tests for all combinations of parameters" msgstr "Tests de validation complets pour toutes les combinaisons de paramètres" msgid "Ideal for creating spectrograms, heatmaps, or waterfall displays from signal collections" msgstr "Idéal pour créer des spectrogrammes, des cartes thermiques ou des affichages en cascade à partir de collections de signaux" msgid "**Non-uniform coordinate support for images**: Added comprehensive support for non-uniform pixel coordinates" msgstr "**Prise en charge des coordonnées non uniformes pour les images** : Ajout d'une prise en charge complète des coordonnées de pixels non uniformes" msgid "`ImageObj` now supports both uniform and non-uniform coordinate systems:" msgstr "`ImageObj` prend désormais en charge les systèmes de coordonnées uniformes et non uniformes :" msgid "Uniform coordinates: defined by origin (`x0`, `y0`) and pixel spacing (`dx`, `dy`)" msgstr "Coordonnées uniformes : définies par l'origine (`x0`, `y0`) et l'espacement des pixels (`dx`, `dy`)" msgid "Non-uniform coordinates: defined by coordinate arrays (`xcoords`, `ycoords`)" msgstr "Coordonnées non uniformes : définies par des tableaux de coordonnées (`xcoords`, `ycoords`)" msgid "New methods for coordinate manipulation:" msgstr "Nouvelles méthodes pour la manipulation des coordonnées :" msgid "`set_coords()`: Set non-uniform X and Y coordinate arrays" msgstr "`set_coords()`: Définir les tableaux de coordonnées X et Y non uniformes" msgid "`is_uniform_coords`: Property to check if coordinates are uniform" msgstr "`is_uniform_coords`: Propriété pour vérifier si les coordonnées sont uniformes" msgid "New computation function `set_uniform_coords()`: Convert non-uniform to uniform coordinates" msgstr "`set_uniform_coords()`: Nouvelle fonction de calcul pour convertir les coordonnées non uniformes en coordonnées uniformes" msgid "Automatically extracts uniform spacing from non-uniform arrays" msgstr "Extrait automatiquement l'espacement uniforme des tableaux non uniformes" msgid "Handles numerical precision issues from linspace-generated arrays" msgstr "Gère les problèmes de précision numérique des tableaux générés par linspace" msgid "Preserves image data while transforming coordinate system" msgstr "Préserve les données d'image lors de la transformation du système de coordonnées" msgid "Enhanced `calibration()` function with polynomial support:" msgstr "Amélioration de la fonction `calibration()` avec prise en charge des polynômes :" msgid "Now supports polynomial calibration up to cubic order: `dst = a0 + a1*src + a2*src² + a3*src³`" msgstr "Prend désormais en charge l'étalonnage polynomial jusqu'à l'ordre cubique : `dst = a0 + a1*src + a2*src² + a3*src³`" msgid "Parameter class changed from `a, b` (linear) to `a0, a1, a2, a3` (polynomial)" msgstr "La classe de paramètres est passée de `a, b` (linéaire) à `a0, a1, a2, a3` (polynomiale)" msgid "Works on X-axis, Y-axis (creating non-uniform coordinates), and Z-axis (data values)" msgstr "Fonctionne sur l'axe X, l'axe Y (création de coordonnées non uniformes) et l'axe Z (valeurs de données)" msgid "Linear calibration is a special case with `a2=0, a3=0`" msgstr "L'étalonnage linéaire est un cas particulier avec `a2=0, a3=0`" msgid "Automatically handles conversion between uniform and non-uniform coordinate systems" msgstr "Gère automatiquement la conversion entre les systèmes de coordonnées uniformes et non uniformes" msgid "Enhanced I/O support:" msgstr "Support I/O amélioré :" msgid "HDF5 format now serializes/deserializes non-uniform coordinates" msgstr "Le format HDF5 prend désormais en charge la sérialisation/désérialisation des coordonnées non uniformes" msgid "Coordinated text files support non-uniform coordinate arrays" msgstr "Les fichiers texte coordonnés prennent en charge les tableaux de coordonnées non uniformes" msgid "All geometric operations updated to handle both coordinate types:" msgstr "Toutes les opérations géométriques ont été mises à jour pour gérer les deux types de coordonnées :" msgid "Coordinate transformations preserve or create appropriate coordinate system" msgstr "Les transformations de coordonnées préservent ou créent un système de coordonnées approprié" msgid "ROI operations work seamlessly with both uniform and non-uniform coordinates" msgstr "Les opérations ROI fonctionnent sans problème avec des coordonnées uniformes et non uniformes" msgid "**DateTime support for signal data**: Added comprehensive datetime handling for signal X-axis data" msgstr "**Prise en charge des DateTime pour les données de signal** : Ajout d'une gestion complète des DateTime pour les données de l'axe X du signal" msgid "Automatic detection and conversion of datetime columns when reading CSV files" msgstr "Détection et conversion automatiques des colonnes datetime lors de la lecture des fichiers CSV" msgid "Detects datetime values in the first or second column (handling index columns)" msgstr "Détecte les valeurs datetime dans la première ou la deuxième colonne (gestion des colonnes d'index)" msgid "Validates datetime format and ensures reasonable date ranges (post-1900)" msgstr "Valide le format datetime et garantit des plages de dates raisonnables (post-1900)" msgid "Converts datetime strings to float timestamps for efficient computation" msgstr "Convertit les chaînes datetime en timestamps flottants pour un calcul efficace" msgid "Preserves datetime metadata for proper display and export" msgstr "Préserve les métadonnées datetime pour un affichage et une exportation appropriés" msgid "New `SignalObj` methods for datetime manipulation:" msgstr "Nouvelles méthodes `SignalObj` pour la manipulation des datetime :" msgid "`set_x_from_datetime()`: Convert datetime objects/strings to signal X data with configurable time units (s, ms, μs, ns, min, h)" msgstr "`set_x_from_datetime()`: Convertit les objets/chaînes datetime en données X de signal avec des unités de temps configurables (s, ms, μs, ns, min, h)" msgid "`get_x_as_datetime()`: Retrieve X values as datetime objects for display or export" msgstr "`get_x_as_datetime()`: Récupère les valeurs X sous forme d'objets datetime pour l'affichage ou l'exportation" msgid "`is_x_datetime()`: Check if signal contains datetime data" msgstr "`is_x_datetime()`: Vérifie si le signal contient des données datetime" msgid "Enhanced CSV export to preserve datetime format when writing signals with datetime X-axis" msgstr "Export CSV amélioré pour préserver le format datetime lors de l'écriture de signaux avec un axe X datetime" msgid "New constants module (`sigima.objects.signal.constants`) defining datetime metadata keys and time unit conversion factors" msgstr "Nouveau module de constantes (`sigima.objects.signal.constants`) définissant les clés de métadonnées datetime et les facteurs de conversion des unités de temps" msgid "Comprehensive unit tests covering datetime conversion, I/O roundtrip, and edge cases" msgstr "Tests unitaires complets couvrant la conversion datetime, le roundtrip I/O et les cas limites" msgid "Example test data file with real-world temperature/humidity logger data (`datetime.txt`)" msgstr "Fichier de données de test exemple avec des données de logger de température/humidité du monde réel (`datetime.txt`)" msgid "**New client subpackage**: Migrated DataLab client functionality to `sigima.client`" msgstr "**Nouveau sous-paquet client** : Fonctionnalité client DataLab migrée vers `sigima.client`" msgid "Added `sigima.client.remote.SimpleRemoteProxy` for XML-RPC communication with DataLab" msgstr "Ajout de `sigima.client.remote.SimpleRemoteProxy` pour la communication XML-RPC avec DataLab" msgid "Added `sigima.client.base.SimpleBaseProxy` as abstract base class for DataLab proxies" msgstr "Ajout de `sigima.client.base.SimpleBaseProxy` en tant que classe de base abstraite pour les proxys DataLab" msgid "Included comprehensive unit tests and API documentation" msgstr "Ajout de tests unitaires complets et de documentation API" msgid "Maintains headless design principle (GUI components excluded)" msgstr "Maintient le principe de conception sans interface graphique (composants GUI exclus)" msgid "Enables remote control of DataLab application from Python scripts and Jupyter notebooks" msgstr "Permet le contrôle à distance de l'application DataLab depuis des scripts Python et des notebooks Jupyter" msgid "Client functionality is now directly accessible: `from sigima import SimpleRemoteProxy`" msgstr "La fonctionnalité client est désormais directement accessible : `from sigima import SimpleRemoteProxy`" msgid "**New image ROI feature**: Added inverse ROI functionality for image ROIs" msgstr "**Nouvelle fonctionnalité de ROI d'image** : Ajout de la fonctionnalité ROI inverse pour les ROIs d'image" msgid "Added `inside` parameter to `BaseSingleImageROI` base class, inherited by all image ROI types (`PolygonalROI`, `RectangularROI`, `CircularROI`)" msgstr "Ajout du paramètre `inside` à la classe de base `BaseSingleImageROI`, héritée par tous les types de ROI d'image (`PolygonalROI`, `RectangularROI`, `CircularROI`)" msgid "When `inside=True`, ROI represents the region inside the shape (inverted behavior)" msgstr "Lorsque `inside=True`, le ROI représente la région à l'intérieur de la forme (comportement inversé)" msgid "When `inside=False` (default), ROI represents the region outside the shape (original behavior)" msgstr "Lorsque `inside=False` (par défaut), le ROI représente la région à l'extérieur de la forme (comportement original)" msgid "Fully integrated with serialization (`to_dict`/`from_dict`) and parameter conversion (`to_param`/`from_param`)" msgstr "Entièrement intégré à la sérialisation (`to_dict`/`from_dict`) et à la conversion de paramètres (`to_param`/`from_param`)" msgid "Signal ROIs (`SegmentROI`) are unaffected as the concept doesn't apply to 1D intervals" msgstr "Les ROIs de signal (`SegmentROI`) ne sont pas affectées car le concept ne s'applique pas aux intervalles 1D." msgid "Optimal architecture with zero code duplication - all `inside` functionality implemented once in the base class" msgstr "Architecture optimale sans duplication de code - toute la fonctionnalité `inside` est implémentée une seule fois dans la classe de base." msgid "Individual ROI classes no longer need custom constructors, inheriting directly from base class" msgstr "Les classes ROI individuelles n'ont plus besoin de constructeurs personnalisés, héritant directement de la classe de base." msgid "New image operation:" msgstr "Nouvelle opération d'image :" msgid "Convolution." msgstr "Convolution." msgid "New image format support:" msgstr "Nouveau support de format d'image :" msgid "**Coordinated text image files**: Added support for reading coordinated text files (`.txt` extension), similar to the Matris image format." msgstr "**Fichiers image texte avec coordonnées** : Ajout de la prise en charge de la lecture des fichiers texte coordonnés (extension `.txt`), similaires au format d'image Matris." msgid "Supports both real and complex-valued image data with optional error images." msgstr "Prend en charge à la fois les données d'image réelles et à valeurs complexes avec des images d'erreur facultatives." msgid "Automatically handles NaN values in the data." msgstr "Gère automatiquement les valeurs NaN dans les données." msgid "Reads metadata including units (X, Y, Z) and labels from file headers." msgstr "Lit les métadonnées, y compris les unités (X, Y, Z) et les étiquettes, à partir des en-têtes de fichiers." msgid "New image analysis features:" msgstr "Nouvelles fonctionnalités d'analyse de l'image :" msgid "Horizontal and vertical projections" msgstr "Projections horizontale et verticale" msgid "Compute the horizontal projection profile by summing values along the y-axis (`sigima.proc.image.measurement.horizontal_projection`)." msgstr "Calcule le profil de projection horizontale en sommant les valeurs le long de l'axe y (`sigima.proc.image.measurement.horizontal_projection`)." msgid "Compute the vertical projection profile by summing values along the x-axis (`sigima.proc.image.measurement.vertical_projection`)." msgstr "Calcule le profil de projection verticale en sommant les valeurs le long de l'axe x (`sigima.proc.image.measurement.vertical_projection`)." msgid "**New curve fitting algorithms**: Complete curve fitting framework with `sigima.tools.signal.fitting` module:" msgstr "**Nouveaux algorithmes de courbe d'ajustement**: Cadre complet d'ajustement de courbe avec le module `sigima.tools.signal.fitting` :" msgid "**Core fitting functions**: Comprehensive set of curve fitting algorithms for scientific data analysis:" msgstr "**Fonctions d'ajustement de base**: Ensemble complet d'algorithmes d'ajustement de courbe pour l'analyse de données scientifiques :" msgid "`linear_fit`: Linear regression fitting" msgstr "`linear_fit`: Ajustement de régression linéaire" msgid "`polynomial_fit`: Polynomial fitting with configurable degree" msgstr "`polynomial_fit`: Ajustement polynomial avec degré configurable" msgid "`gaussian_fit`: Gaussian profile fitting for peak analysis" msgstr "`gaussian_fit`: Ajustement de profil gaussien pour l'analyse de pics" msgid "`lorentzian_fit`: Lorentzian profile fitting for spectroscopy" msgstr "`lorentzian_fit`: Ajustement de profil lorentzien pour la spectroscopie" msgid "`voigt_fit`: Voigt profile fitting (convolution of Gaussian and Lorentzian profiles)" msgstr "`voigt_fit`: Ajustement de profil Voigt (convolution des profils gaussien et lorentzien)" msgid "`exponential_fit`: Single exponential fitting with overflow protection" msgstr "`exponential_fit`: Ajustement exponentiel simple avec protection contre les débordements" msgid "`piecewiseexponential_fit`: Piecewise exponential (raise-decay) fitting with advanced parameter estimation" msgstr "`piecewiseexponential_fit`: Ajustement exponentiel par morceaux (croissante-décroissante) avec estimation avancée des paramètres" msgid "`planckian_fit`: Planckian (blackbody radiation) fitting with correct physics implementation" msgstr "`planckian_fit`: Ajustement planckien (radiation du corps noir) avec mise en œuvre physique correcte" msgid "`twohalfgaussian_fit`: Asymmetric peak fitting with separate left/right parameters" msgstr "`twohalfgaussian_fit`: Ajustement de pic asymétrique avec des paramètres gauche/droite séparés" msgid "`multilorentzian_fit`: Multi-peak Lorentzian fitting for complex spectra" msgstr "`multilorentzian_fit`: Ajustement Lorentzien multi-pic pour des spectres complexes" msgid "`sinusoidal_fit`: Sinusoidal fitting with FFT-based frequency estimation" msgstr "`sinusoidal_fit`: Ajustement sinusoïdal avec estimation de fréquence basée sur FFT" msgid "`cdf_fit`: Cumulative Distribution Function fitting using error function" msgstr "`cdf_fit`: Ajustement de la fonction de distribution cumulative utilisant la fonction d'erreur" msgid "`sigmoid_fit`: Sigmoid (logistic) function fitting for S-shaped curves" msgstr "`sigmoid_fit`: Ajustement de la fonction sigmoïde (logistique) pour les courbes en S" msgid "**Advanced piecewise exponential (raise-decay) fitting**: Enhanced algorithm with:" msgstr "**Ajustement exponentiel par morceaux (croissante-décroissante) avancé**: Algorithme amélioré avec :" msgid "Standard piecewise exponential model: `y = a_left*exp(b_left*x) + a_right*exp(b_right*x) + y0`" msgstr "Modèle standard exponentiel par morceaux : `y = a_left*exp(b_left*x) + a_right*exp(b_right*x) + y0`" msgid "Multi-start optimization strategy for robust convergence to global minimum" msgstr "Stratégie d'optimisation multi-démarrage pour une convergence robuste vers le minimum global" msgid "Support for both positive and negative exponential rates (growth and decay components)" msgstr "Prise en charge des taux exponentiels positifs et négatifs (composantes de croissance et de décroissance)" msgid "Comprehensive parameter bounds validation to prevent optimization errors" msgstr "Validation complète des limites des paramètres pour éviter les erreurs d'optimisation" msgid "**Enhanced asymmetric peak fitting**: Advanced `twohalfgaussian_fit` with:" msgstr "**Ajustement de pic asymétrique amélioré**: `twohalfgaussian_fit` avancé avec :" msgid "Separate baseline offsets for left and right sides (`y0_left`, `y0_right`)" msgstr "Offsets de base séparés pour les côtés gauche et droit (`y0_left`, `y0_right`)" msgid "Independent amplitude parameters (`amp_left`, `amp_right`) for better asymmetric modeling" msgstr "Paramètres d'amplitude indépendants (`amp_left`, `amp_right`) pour un meilleur modélisation asymétrique" msgid "Robust baseline estimation using percentile-based methods" msgstr "Estimation robuste de la ligne de base utilisant des méthodes basées sur les percentiles" msgid "**Technical features**: All fitting functions include:" msgstr "**Fonctionnalités techniques**: Toutes les fonctions d'ajustement incluent :" msgid "Automatic initial parameter estimation from data characteristics" msgstr "Estimation automatique des paramètres initiaux à partir des caractéristiques des données" msgid "Proper bounds enforcement ensuring optimization stability" msgstr "Application correcte des limites garantissant la stabilité de l'optimisation" msgid "Comprehensive error handling and parameter validation" msgstr "Gestion complète des erreurs et validation des paramètres" msgid "Consistent dataclass-based parameter structures" msgstr "Structures de paramètres basées sur des classes de données cohérentes" msgid "Full test coverage with synthetic and experimental data validation" msgstr "Couverture de test complète avec validation des données synthétiques et expérimentales" msgid "New common signal/image feature:" msgstr "Nouvelles fonctionnalités communes signal/image :" msgid "Added `phase` (argument) feature to extract the phase information from complex signals or images." msgstr "Ajout de la fonctionnalité `phase` (argument) pour extraire les informations de phase des signaux ou des images complexes." msgid "Added operation to create complex-valued signal/image from real and imaginary parts." msgstr "Ajout de l'opération pour créer un signal/image à valeurs complexes à partir des parties réelle et imaginaire." msgid "Added operation to create complex-valued signal/image from magnitude and phase." msgstr "Ajout de l'opération pour créer un signal/image à valeurs complexes à partir de l'amplitude et de la phase." msgid "Standard deviation of the selected signals or images (this complements the \"Average\" feature)." msgstr "Écart-type des signaux ou images de la sélection (ceci complète la fonctionnalité \"Moyenne\")." msgid "Generate new signal or image: Poisson noise." msgstr "Générer un nouveau signal ou une nouvelle image : bruit de Poisson." msgid "Add noise to the selected signals or images." msgstr "Ajouter du bruit aux signaux ou images sélectionnés." msgid "Gaussian, Poisson or uniform noise can be added." msgstr "Du bruit gaussien, de Poisson ou uniforme peut être ajouté." msgid "New utility functions to generate file basenames." msgstr "Nouvelles fonctions utilitaires pour générer des noms de fichiers." msgid "Deconvolution in the frequency domain." msgstr "Déconvolution dans le domaine fréquentiel." msgid "New ROI features:" msgstr "Nouvelles fonctionnalités de ROI:" msgid "Improved single ROI title handling, using default title based on the index of the ROI when no title is provided." msgstr "Amélioration de la gestion du titre de la ROI unique, en utilisant un titre par défaut basé sur l'index de la ROI lorsque aucun titre n'est fourni." msgid "Added `combine_with` method to ROI objects (`SignalROI` and `ImageROI`) to return a new ROI that combines the current ROI with another one (union) and handling duplicate ROIs." msgstr "Ajout de la méthode `combine_with` aux objets ROI (`SignalROI` et `ImageROI`) pour renvoyer un nouvel ROI qui combine le ROI actuel avec un autre (union) et gère les ROIs en double." msgid "Image ROI transformations:" msgstr "Transformations de ROI d'image:" msgid "Before this change, image ROI were removed after applying each single computation function." msgstr "Avant ce changement, les ROI d'image étaient supprimées après l'application de chaque fonction de calcul unique." msgid "Now, the geometry computation functions preserve the ROI information across transformations: the transformed ROIs are automatically updated in the image object." msgstr "Maintenant, les fonctions de calcul géométrique préservent les informations de ROI à travers les transformations: les ROIs transformées sont automatiquement mises à jour dans l'objet image." msgid "Image ROI coordinates:" msgstr "Coordonnées de ROI d'image:" msgid "Before this change, image ROI coordinates were defined using indices by default." msgstr "Avant ce changement, les coordonnées de ROI d'image étaient définies par défaut à l'aide d'indices." msgid "Now, `ROI2DParam` uses physical coordinates by default." msgstr "Maintenant, `ROI2DParam` utilise des coordonnées physiques par défaut." msgid "Note that ROI may still be defined using indices instead (using `create_image_roi` function)." msgstr "Les ROI peuvent toujours être définies à l'aide d'indices (en utilisant la fonction `create_image_roi`)." msgid "Image ROI grid:" msgstr "Grille de ROI d'image:" msgid "New `generate_image_grid_roi` function: create a grid of ROIs from an image, with customizable parameters for grid size, spacing, and naming." msgstr "Nouvelle fonction `generate_image_grid_roi`: crée une grille de ROIs à partir d'une image, avec des paramètres personnalisables pour la taille de la grille, l'espacement et la nomination." msgid "This function allows for easy extraction of multiple ROIs from an image in a structured manner." msgstr "Cette fonction permet d'extraire facilement plusieurs ROIs d'une image de manière structurée." msgid "Parameters are handled via the `ROIGridParam` class, which provides a convenient way to specify grid properties:" msgstr "Les paramètres sont gérés via la classe `ROIGridParam`, qui fournit un moyen pratique de spécifier les propriétés de la grille:" msgid "`nx` / `ny`: Number of grid cells in the X/Y direction." msgstr "`nx` / `ny`: Nombre de cellules de grille dans la direction X/Y." msgid "`xsize` / `ysize`: Size of each grid cell in pixels." msgstr "`xsize` / `ysize`: Taille de chaque cellule de grille en pixels." msgid "`xtranslation` / `ytranslation`: Translation of the grid in pixels." msgstr "`xtranslation` / `ytranslation`: Translation de la grille en pixels." msgid "`xdirection` / `ydirection`: Direction of the grid (increasing/decreasing)." msgstr "`xdirection` / `ydirection`: Direction de la grille (croissante/décroissante)." msgid "New image processing features:" msgstr "Nouvelles fonctionnalités de traitement d'image:" msgid "New \"2D resampling\" feature:" msgstr "Nouvelle fonctionnalité de \"Rééchantillonnage 2D\" :" msgid "This feature allows to resample 2D images to a new coordinate grid using interpolation." msgstr "Cette fonctionnalité permet de rééchantillonner des images 2D vers une nouvelle grille de coordonnées à l'aide d'une interpolation." msgid "It supports two resampling modes: pixel size and output shape." msgstr "Elle prend en charge deux modes de rééchantillonnage : la taille des pixels et la forme de sortie." msgid "Multiple interpolation methods are available: linear, cubic, and nearest neighbor." msgstr "Plusieurs méthodes d'interpolation sont disponibles : linéaire, cubique et plus proche voisin." msgid "The `fill_value` parameter controls how out-of-bounds pixels are handled, with support for numeric values or NaN." msgstr "Le paramètre `fill_value` contrôle la manière dont les pixels hors limites sont gérés, avec prise en charge des valeurs numériques ou de NaN." msgid "Automatic data type conversion ensures proper NaN handling for integer images." msgstr "La conversion automatique du type de données garantit une gestion appropriée des NaN pour les images entières." msgid "It is implemented in the `sigima.proc.image.resampling` function with parameters defined in `Resampling2DParam`." msgstr "Elle est implémentée dans la fonction `sigima.proc.image.resampling` avec des paramètres définis dans `Resampling2DParam`." msgid "New \"Frequency domain Gaussian filter\" feature:" msgstr "Nouvelle fonctionnalité de \"Filtre fréquentiel gaussien\" :" msgid "This feature allows to filter an image in the frequency domain using a Gaussian filter." msgstr "Cette fonctionnalité permet de filtrer une image dans le domaine fréquentiel à l'aide d'un filtre gaussien." msgid "It is implemented in the `sigima.proc.image.frequency_domain_gaussian_filter` function." msgstr "Elle est implémentée dans la fonction `sigima.proc.image.frequency_domain_gaussian_filter`." msgid "New \"Erase\" feature:" msgstr "Nouvelle fonctionnalité \"Gommage\":" msgid "This feature allows to erase an area of the image using the mean value of the image." msgstr "Cette fonctionnalité permet de gommer une zone de l'image en utilisant la valeur moyenne de l'image." msgid "It is implemented in the `sigima.proc.image.erase` function." msgstr "Elle est implémentée dans la fonction `sigima.proc.image.erase`." msgid "The erased area is defined by a region of interest (ROI) parameter set." msgstr "La zone gommée est définie par un paramètre de région d'intérêt (ROI)." msgid "Example usage:" msgstr "Exemple d'utilisation:" msgid "By default, pixel binning changes the pixel size." msgstr "Par défaut, le regroupement de pixels modifie la taille des pixels." msgid "Improved centroid estimation:" msgstr "Amélioration de l'estimation du centroïde:" msgid "New `get_centroid_auto` method implements an adaptive strategy that chooses between the Fourier-based centroid and a more robust fallback (scikit-image), based on agreement with a projected profile-based reference." msgstr "La nouvelle méthode `get_centroid_auto` implémente une stratégie adaptative qui choisit entre le centroïde basé sur Fourier et un repli plus robuste (scikit-image), en fonction de l'accord avec une référence basée sur le profil projeté." msgid "Introduced `get_projected_profile_centroid` function for robust estimation via 1D projections (median or barycentric), offering high accuracy even with truncated or noisy images." msgstr "Introduction de la fonction `get_projected_profile_centroid` pour une estimation robuste via des projections 1D (médiane ou barycentrique), offrant une grande précision même avec des images tronquées ou bruyantes." msgid "These changes improve centroid accuracy and stability in edge cases (e.g. truncated disks or off-center spots), while preserving noise robustness." msgstr "Ces changements améliorent la précision et la stabilité du centroïde dans les cas extrêmes (par exemple, disques tronqués ou taches décentrées), tout en préservant la robustesse au bruit." msgid "See [DataLab issue #251](https://github.com/DataLab-Platform/DataLab/issues/251) for more details." msgstr "Voir l'[issue DataLab #251](https://github.com/DataLab-Platform/DataLab/issues/251) pour plus de détails." msgid "New signal processing features:" msgstr "Nouvelles fonctionnalités de traitement du signal:" msgid "New \"Brick wall filter\" feature:" msgstr "Nouvelle fonctionnalité de \"Filtre fréquentiel idéal\" :" msgid "This feature allows to filter a signal in the frequency domain using an ideal (\"brick wall\") filter." msgstr "Cette fonctionnalité permet de filtrer un signal dans le domaine fréquentiel à l'aide d'un filtre idéal." msgid "It is implemented in `sigima.proc.signal.frequency_filter`, along the other frequency domain filtering features (`Bessel`, `Butterworth`, etc.)." msgstr "Elle est implémentée dans la fonction `sigima.proc.signal.frequency_filter`, parmi les autres fonctionnalités de filtrage dans le domaine fréquentiel (`Bessel`, `Butterworth`, etc.)." msgid "Enhanced zero padding to support prepend and append. Change default strategy to next power of 2." msgstr "Amélioration du remplissage de zéros pour prendre en charge l'ajout au début et à la fin. Changement de la stratégie par défaut vers la prochaine puissance de 2." msgid "**Pulse analysis algorithms**: Comprehensive pulse feature extraction framework in `sigima.tools.signal.pulse` module:" msgstr "**Algorithmes d'analyse des impulsions**: Cadre complet d'extraction des caractéristiques des impulsions dans le module `sigima.tools.signal.pulse` :" msgid "**Core pulse analysis functions**: Complete set of algorithms for step and square pulse characterization:" msgstr "**Fonctions d'analyse des impulsions de base**: Ensemble complet d'algorithmes pour la caractérisation des impulsions en escalier et carrées :" msgid "`extract_pulse_features`: Main function for automated pulse feature extraction" msgstr "`extract_pulse_features`: Fonction principale pour l'extraction automatisée des caractéristiques des impulsions" msgid "`heuristically_recognize_shape`: Intelligent signal type detection (step, square, or other)" msgstr "`heuristically_recognize_shape`: Détection intelligente du type de signal (escalier, carré ou autre)" msgid "`detect_polarity`: Robust polarity detection using baseline analysis" msgstr "`detect_polarity`: Détection robuste de la polarité utilisant l'analyse de la ligne de base" msgid "**Advanced timing parameter extraction**: Precise measurement algorithms for:" msgstr "**Extraction avancée des paramètres temporels**: Algorithmes de mesure précis pour :" #, python-format msgid "Rise and fall time calculations with configurable start/stop ratios (e.g., 10%-90%)" msgstr "Calculs du temps de montée et de descente avec des rapports de début/fin configurables (par exemple, 10%-90%)" msgid "Timing parameters at specific fractions (x10, x50, x90, x100) of signal amplitude" msgstr "Paramètres temporels à des fractions spécifiques (x10, x50, x90, x100) de l'amplitude du signal" msgid "Full width at half maximum (FWHM) computation for square pulses" msgstr "Calcul de la largeur à mi-hauteur (FWHM) pour les impulsions carrées" msgid "Foot duration measurement for pulse characterization" msgstr "Mesure de la durée de l'impulsion pour la caractérisation des impulsions" msgid "**Baseline analysis capabilities**: Statistical methods for:" msgstr "**Capacités d'analyse de la ligne de base**: Méthodes statistiques pour :" msgid "Automatic baseline range detection from signal extremes" msgstr "Détection automatique de la plage de ligne de base à partir des extrêmes du signal" msgid "Robust baseline level estimation using mean values within ranges" msgstr "Estimation robuste du niveau de la ligne de base en utilisant les valeurs moyennes dans les plages" msgid "Start and end baseline characterization for differential analysis" msgstr "Caractérisation de la ligne de base de début et de fin pour l'analyse différentielle" msgid "**Signal validation and error handling**: Comprehensive input validation with:" msgstr "**Validation des signaux et gestion des erreurs**: Validation des entrées complète avec :" msgid "Data array consistency checks and NaN/infinity detection" msgstr "Vérifications de la cohérence des tableaux de données et détection des NaN/infinis" msgid "Signal length validation and range boundary verification" msgstr "Validation de la longueur du signal et vérification des limites de plage" msgid "Graceful error handling with descriptive exception messages" msgstr "Gestion des erreurs élégante avec des messages d'exception descriptifs" msgid "**PulseFeatures dataclass**: Structured result container with all extracted parameters:" msgstr "**Dataclass PulseFeatures**: Conteneur de résultats structuré avec tous les paramètres extraits :" msgid "Amplitude, polarity, and offset measurements" msgstr "Mesures d'amplitude, de polarité et de décalage" msgid "Timing parameters (rise_time, fall_time, fwhm, x10, x50, x90, x100)" msgstr "Paramètres temporels (rise_time, fall_time, fwhm, x10, x50, x90, x100)" msgid "Baseline ranges (xstartmin, xstartmax, xendmin, xendmax)" msgstr "Plages de ligne de base (xstartmin, xstartmax, xendmin, xendmax)" msgid "Signal shape classification and foot duration" msgstr "Classification de la forme du signal et durée de l'impulsion" msgid "Implementation leverages robust statistical methods and provides both high-level convenience functions and low-level building blocks for custom pulse analysis workflows." msgstr "L'implémentation s'appuie sur des méthodes statistiques robustes et fournit à la fois des fonctions de commodité de haut niveau et des blocs de construction de bas niveau pour des flux de travail d'analyse d'impulsions personnalisés." msgid "Comprehensive uncertainty propagation implementation:" msgstr "Mise en œuvre complète de la propagation des incertitudes :" msgid "Added mathematically correct uncertainty propagation to ~15 core signal processing functions." msgstr "Ajout de la propagation des incertitudes mathématiquement correcte à ~15 fonctions de traitement du signal de base." msgid "Enhanced `Wrap1to1Func` class to handle uncertainty propagation for mathematical functions (`sqrt`, `log10`, `exp`, `clip`, `absolute`, `real`, `imag`)." msgstr "Amélioration de la classe `Wrap1to1Func` pour gérer la propagation des incertitudes pour les fonctions mathématiques (`sqrt`, `log10`, `exp`, `clip`, `absolute`, `real`, `imag`)." msgid "Implemented uncertainty propagation for arithmetic operations (`product_constant`, `division_constant`)." msgstr "Mise en œuvre de la propagation des incertitudes pour les opérations arithmétiques (`product_constant`, `division_constant`)." msgid "Added uncertainty propagation for advanced processing functions (`power`, `normalize`, `derivative`, `integral`, `calibration`)." msgstr "Ajout de la propagation des incertitudes pour les fonctions de traitement avancées (`power`, `normalize`, `derivative`, `integral`, `calibration`)." msgid "All implementations use proper error propagation formulas with numerical stability handling (NaN/infinity protection)." msgstr "Toutes les implémentations utilisent des formules de propagation des erreurs appropriées avec une gestion de la stabilité numérique (protection contre les NaN/l'infini)." msgid "Optimized for memory efficiency by leveraging `dst_1_to_1` automatic uncertainty copying and in-place modifications." msgstr "Optimisé pour l'efficacité mémoire en tirant parti de la copie automatique des incertitudes `dst_1_to_1` et des modifications sur place." msgid "Maintains backward compatibility with existing signal processing workflows." msgstr "Maintient la compatibilité avec les flux de travail de traitement du signal existants." msgid "New 2D ramp image generator:" msgstr "Nouveau générateur d'image de rampe 2D:" msgid "This feature allows to generate a 2D ramp image: z = a(x − x₀) + b(y − y₀) + c" msgstr "Cette fonctionnalité permet de générer une image de rampe 2D: z = a(x − x₀) + b(y − y₀) + c" msgid "It is implemented in the `sigima.objects.Ramp2DParam` parameter class." msgstr "Elle est implémentée dans la classe de paramètres `sigima.objects.Ramp2DParam`." msgid "New signal generators: linear chirp, logistic function, Planck function." msgstr "Nouveaux générateurs de signaux: chirp linéaire, fonction logistique, fonction de Planck." msgid "New image \"Extent\" computed parameters:" msgstr "Nouveaux paramètres calculés d'\"Étendue\" de l'image :" msgid "Added computed parameters for image extent: `xmin`, `xmax`, `ymin`, and `ymax`." msgstr "Ajout de paramètres calculés pour l'étendue de l'image : `xmin`, `xmax`, `ymin` et `ymax`." msgid "These parameters are automatically calculated based on the image origin, pixel spacing, and dimensions." msgstr "Ces paramètres sont automatiquement calculés en fonction de l'origine de l'image, de l'espacement des pixels et des dimensions." msgid "They provide the physical coordinate boundaries of the image for enhanced spatial analysis." msgstr "Ils fournissent les limites des coordonnées physiques de l'image pour une analyse spatiale améliorée." msgid "New I/O features:" msgstr "Nouvelles fonctionnalités d'E/S:" msgid "Added HDF5 format for signal and image objects (extensions `.h5sig` and `.h5ima`) that may be opened with any HDF5 viewer." msgstr "Ajout du format HDF5 pour les objets de signal et d'image (extensions `.h5sig` et `.h5ima`) qui peuvent être ouverts avec n'importe quel visualiseur HDF5." msgid "Added support for MCA (Multi-Channel Analyzer) spectrum file format:" msgstr "Ajout de la prise en charge du format de fichier de spectre MCA (Analyseur Multi-Canaux) :" msgid "Reading MCA files (`.mca` extension) commonly used in spectroscopy and radiation detection" msgstr "Lecture des fichiers MCA (extension `.mca`) couramment utilisés en spectroscopie et en détection de radiation" msgid "Automatically extracts spectrum data and calibration information" msgstr "Extraction automatique des données de spectre et des informations de calibration" msgid "Supports energy calibration with interpolation for accurate X-axis values" msgstr "Prise en charge de la calibration d'énergie avec interpolation pour des valeurs précises de l'axe X" msgid "Parses metadata from multiple sections (PMCA SPECTRUM, DPP STATUS, CALIBRATION)" msgstr "Analyse des métadonnées à partir de plusieurs sections (PMCA SPECTRUM, DPP STATUS, CALIBRATION)" msgid "Handles various encoding formats (UTF-8, Latin-1, CP1252) for maximum compatibility" msgstr "Prise en charge de divers formats d'encodage (UTF-8, Latin-1, CP1252) pour une compatibilité maximale" msgid "Added support for FT-Lab signal and image format." msgstr "Ajout de la prise en charge du format de signal et d'image FT-Lab." msgid "Added functions to read and write metadata and ROIs in JSON format:" msgstr "Ajout de fonctions pour lire et écrire des métadonnées et des ROIs au format JSON:" msgid "`sigima.io.read_metadata` and `sigima.io.write_metadata` for metadata." msgstr "`sigima.io.read_metadata` et `sigima.io.write_metadata` pour les métadonnées." msgid "`sigima.io.read_roi` and `sigima.io.write_roi` for ROIs." msgstr "`sigima.io.read_roi` et `sigima.io.write_roi` pour les ROIs." msgid "Added convenience I/O functions `write_signals` and `write_images` with `SaveToDirectoryParam` support:" msgstr "Ajout de fonctions d'E/S de commodité `write_signals` et `write_images` avec prise en charge de `SaveToDirectoryParam`:" msgid "These functions enable batch saving of multiple signal or image objects to a directory with configurable naming patterns." msgstr "Ces fonctions permettent d'enregistrer par lots plusieurs objets de signal ou d'image dans un répertoire avec des modèles de nommage configurables." msgid "`SaveToDirectoryParam` provides control over file basenames (with Python format string support), extensions, directory paths, and overwrite behavior." msgstr "`SaveToDirectoryParam` fournit un contrôle sur les noms de fichiers de base (avec prise en charge des chaînes de format Python), des extensions, des chemins de répertoire et du comportement d'écrasement." msgid "Automatic filename conflict resolution ensures unique filenames when duplicates would occur." msgstr "La résolution automatique des conflits de noms de fichiers garantit des noms de fichiers uniques en cas de doublons." msgid "Enhanced workflow efficiency for processing and saving multiple objects in batch operations." msgstr "Efficacité améliorée du flux de travail pour le traitement et l'enregistrement de plusieurs objets dans des opérations par lots." msgid "✨ Core architecture update: scalar result types" msgstr "✨ Mise à jour de l'architecture de base: types de résultats scalaires" msgid "Introduced two new immutable result types: `TableResult` and `GeometryResult`, replacing the legacy `ResultProperties` and `ResultShape` objects." msgstr "Introduction de deux nouveaux types de résultats immuables: `TableResult` et `GeometryResult`, remplaçant les anciens objets `ResultProperties` et `ResultShape`." msgid "These new result types are computation-oriented and free of application-specific logic (e.g., Qt, metadata), enabling better separation of concerns and future reuse." msgstr "Ces nouveaux types de résultats sont orientés vers le calcul et dépourvus de logique spécifique à l'application (par exemple, Qt, métadonnées), permettant une meilleure séparation des préoccupations et une réutilisation future." msgid "Added a `TableResultBuilder` utility to incrementally define tabular computations (e.g., statistics on signals or images) and generate a `TableResult` object." msgstr "Ajout d'un utilitaire `TableResultBuilder` pour définir progressivement des calculs tabulaires (par exemple, des statistiques sur les signaux ou les images) et générer un objet `TableResult`." msgid "All metadata-related behaviors of former result types have been migrated to the DataLab application layer." msgstr "Tous les comportements liés aux métadonnées des anciens types de résultats ont été migrés vers la couche d'application DataLab." msgid "Removed obsolete or tightly coupled features such as `from_metadata_entry()` and `transform_shapes()` from the Sigima core." msgstr "Suppression de fonctionnalités obsolètes ou étroitement couplées telles que `from_metadata_entry()` et `transform_shapes()` du cœur de Sigima." msgid "This refactoring greatly improves modularity, testability, and the clarity of the scalar computation API." msgstr "Cette refonte améliore considérablement la modularité, la testabilité et la clarté de l'API de calcul scalaire." msgid "Fix how data is managed in signal objects (`SignalObj`):" msgstr "Correction de la gestion des données dans les objets de signal (`SignalObj`):" msgid "Signal data is stored internally as a 2D array with shape `(2, n)`, where the first row is the x data and the second row is the y data: that is the `xydata` attribute." msgstr "Les données du signal sont stockées en interne sous la forme d'un tableau 2D de forme `(2, n)`, où la première ligne est les données x et la deuxième ligne est les données y : c'est l'attribut `xydata`." msgid "Because of this, when storing complex Y data, the data type is propagated to the x data, which is not always desired." msgstr "En raison de cela, lors du stockage de données Y complexes, le type de données est propagé aux données x, ce qui n'est pas toujours souhaité." msgid "As a workaround, the `x` property now returns the real part of the x data." msgstr "En guise de solution de contournement, la propriété `x` renvoie désormais la partie réelle des données x." msgid "Furthermore, the `get_data` method now returns a tuple of numpy arrays instead of a single array, allowing to access both x and y data separately, keeping the original data type." msgstr "De plus, la méthode `get_data` renvoie désormais un tuple de tableaux numpy au lieu d'un seul tableau, permettant d'accéder séparément aux données x et y, tout en conservant le type de données d'origine." msgid "Fix ROI conversion between physical and indices coordinates:" msgstr "Correction de la conversion des coordonnées physiques et des indices de ROI:" msgid "The conversion between physical coordinates and indices has been corrected (half pixel error was removed)." msgstr "La conversion entre les coordonnées physiques et les indices a été corrigée (l'erreur de demi-pixel a été supprimée)." msgid "The `indices_to_physical` and `physical_to_indices` methods now raise a `ValueError` if the input does not contain an even number of elements (x, y pairs)." msgstr "La méthode `indices_to_physical` et `physical_to_indices` lèvent désormais une `ValueError` si l'entrée ne contient pas un nombre pair d'éléments (paires x, y)." msgid "🔒 Security fixes:" msgstr "🔒 Corrections de sécurité:" msgid "**Dependency vulnerability fix**: Fixed CVE-2023-4863 vulnerability in opencv-python-headless" msgstr "**Correction de vulnérabilité de dépendance**: Correction de la vulnérabilité CVE-2023-4863 dans opencv-python-headless" msgid "Updated minimum requirement from 4.5.4.60 to 4.8.1.78" msgstr "Mise à jour de l'exigence minimale de 4.5.4.60 à 4.8.1.78" msgid "Addresses libwebp binaries vulnerability in bundled OpenCV wheels" msgstr "Correction de la vulnérabilité des binaires libwebp dans les paquets Wheel OpenCV" msgid "See [DataLab security advisory](https://github.com/DataLab-Platform/DataLab/security/dependabot/1) for details" msgstr "Voir l'[avis de sécurité DataLab](https://github.com/DataLab-Platform/DataLab/security/dependabot/1) pour plus de détails." Sigima-1.1.1/doc/locale/fr/LC_MESSAGES/release_notes/release_1.01.po000066400000000000000000000161571514013333200243770ustar00rootroot00000000000000# SOME DESCRIPTIVE TITLE. # Copyright (C) 2025, DataLab Platform Developers # This file is distributed under the same license as the Sigima package. # FIRST AUTHOR , 2025. # #, fuzzy msgid "" msgstr "" "Project-Id-Version: Sigima \n" "Report-Msgid-Bugs-To: \n" "PO-Revision-Date: YEAR-MO-DA HO:MI+ZONE\n" "Language: fr\n" "Language-Team: fr \n" "Plural-Forms: nplurals=2; plural=(n > 1);\n" "MIME-Version: 1.0\n" "Content-Type: text/plain; charset=utf-8\n" "Content-Transfer-Encoding: 8bit\n" "Generated-By: Babel 2.17.0\n" msgid "Version 1.1" msgstr "Version 1.1" msgid "Sigima Version 1.1.1 (2026-02-02)" msgstr "Sigima Version 1.1.1 (2026-02-02)" msgid "🛠️ Bug Fixes since version 1.1.0" msgstr "🛠️ Corrections de bugs depuis la version 1.1.0" msgid "" "**Stub server**: Added missing Web API control methods to " "`DataLabStubServer` for testing DataLab's REST API integration" msgstr "" "**Serveur factice** : Ajout des méthodes de contrôle de l'API Web manquantes à " "`DataLabStubServer` pour tester l'intégration de l'API REST de DataLab" msgid "Added `start_webapi_server()` stub (returns dummy URL and token)" msgstr "" "Ajout du stub `start_webapi_server()` (retourne une URL et un jeton " "factices)" msgid "Added `stop_webapi_server()` stub" msgstr "Ajout du stub `stop_webapi_server()`" msgid "Added `get_webapi_status()` stub (returns server status dictionary)" msgstr "" "Ajout du stub `get_webapi_status()` (retourne un dictionnaire d'état du " "serveur)" msgid "🔧 Other changes" msgstr "🔧 Autres changements" msgid "Updated development status classifier to \"Production/Stable\"" msgstr "" "Mise à jour du classificateur d'état de développement vers " "\"Production/Stable\"" msgid "" "Added \"Try it Online\" section with " "[notebook.link](https://notebook.link/) integration in documentation" msgstr "" "Ajout de la section \"Essayez en ligne\" avec intégration de " "[notebook.link](https://notebook.link/) dans la documentation" msgid "Sigima Version 1.1.0 (2026-01-31)" msgstr "Sigima Version 1.1.0 (2026-01-31)" msgid "✨ New features and enhancements:" msgstr "✨ Nouvelles fonctionnalités et améliorations:" msgid "" "**Stub server**: Added missing methods to `DataLabStubServer` to support " "new DataLab features" msgstr "" "**Serveur factice** : Ajout de méthodes manquantes à `DataLabStubServer` " "pour prendre en charge les nouvelles fonctionnalités de DataLab" msgid "Added `remove_object()` method (removes an object from DataLab)" msgstr "Ajout de la méthode `remove_object()` (supprime un objet de DataLab)" msgid "" "Added `call_method()` method (simulates calling a method on DataLab's " "main interface or panels)" msgstr "" "Ajout de la méthode `call_method()` (simule l'appel d'une méthode sur " "l'interface principale ou les panneaux de DataLab)" msgid "" "**Test infrastructure**: Refactored visualization code in test suite for " "better maintainability" msgstr "" "**Infrastructure de test** : Refactorisation du code de visualisation " "dans la suite de tests pour une meilleure maintenabilité" msgid "Centralized PlotPy visualization utilities in `sigima.viz` module" msgstr "" "Centralisation des utilitaires de visualisation PlotPy dans le module " "`sigima.viz`" msgid "" "Added standardized helper functions: `create_curve()`, `create_image()`, " "`create_circle()`, `create_segment()`, `create_cursor()`, " "`create_marker()`, and `create_contour_shapes()`" msgstr "" "Ajout de fonctions d'aide standardisées : `create_curve()`, " "`create_image()`, `create_circle()`, `create_segment()`, " "`create_cursor()`, `create_marker()` et `create_contour_shapes()`" msgid "" "Updated all interactive test functions to use the new unified API instead" " of direct PlotPy builder calls" msgstr "" "Mise à jour de toutes les fonctions de test interactives pour utiliser la" " nouvelle API unifiée au lieu des appels directs au constructeur PlotPy" msgid "Improved code consistency across signal and image test modules" msgstr "" "Amélioration de la cohérence du code entre les modules de test de signaux" " et d'images" msgid "" "**Visualization backend flexibility**: Added support for Matplotlib as an" " alternative to PlotPy for test visualizations" msgstr "" "**Flexibilité du backend de visualisation** : Ajout de la prise en charge" " de Matplotlib comme alternative à PlotPy pour les visualisations de test" msgid "" "New configuration option `viz_backend` to select visualization library " "(\"auto\", \"plotpy\", or \"matplotlib\")" msgstr "" "Nouvelle option de configuration `viz_backend` pour sélectionner la " "bibliothèque de visualisation (\"auto\", \"plotpy\" ou \"matplotlib\")" msgid "Environment variable `SIGIMA_VIZ_BACKEND` can override configuration" msgstr "" "La variable d'environnement `SIGIMA_VIZ_BACKEND` peut remplacer la " "configuration" msgid "Automatic fallback from PlotPy to Matplotlib when PlotPy is not available" msgstr "" "Basculement automatique de PlotPy à Matplotlib lorsque PlotPy n'est pas " "disponible" msgid "" "Backend information exposed via `sigima.viz.BACKEND_NAME` and " "`BACKEND_SOURCE`" msgstr "" "Informations sur le backend exposées via `sigima.viz.BACKEND_NAME` et " "`BACKEND_SOURCE`" msgid "" "Matplotlib backend provides stubs for unsupported functions (raises " "`NotImplementedError`)" msgstr "" "Le backend Matplotlib fournit des stubs pour les fonctions non prises en " "charge (lève `NotImplementedError`)" msgid "Unit test ensures API compatibility between backends" msgstr "Test unitaire garantissant la compatibilité de l'API entre les backends" msgid "" "**Jupyter notebook HTML representation**: Added rich HTML display for " "Sigima objects in Jupyter notebooks" msgstr "" "**Représentation HTML pour les notebooks Jupyter** : Ajout d'un affichage" " HTML enrichi pour les objets Sigima dans les notebooks Jupyter" msgid "" "`SignalObj` displays shape, dtype, X/Y ranges, axis labels, and title in " "a formatted table" msgstr "" "`SignalObj` affiche la forme, le dtype, les plages X/Y, les labels des " "axes et le titre dans un tableau formaté" msgid "" "`ImageObj` displays shape, dtype, value range, origin, pixel spacing, " "extent, axis labels, and title" msgstr "" "`ImageObj` affiche la forme, le dtype, la plage de valeurs, l'origine, " "l'espacement des pixels, l'étendue, les labels des axes et le titre" msgid "" "ROI objects (`BaseSingleROI`, `BaseROI`) display their geometric " "properties" msgstr "" "Les objets ROI (`BaseSingleROI`, `BaseROI`) affichent leurs propriétés " "géométriques" msgid "`BaseCoordinates` and derived classes display point coordinates" msgstr "" "`BaseCoordinates` et les classes dérivées affichent les coordonnées des " "points" msgid "" "`TableResult` and `GeometryResult` display result data with source object" " information" msgstr "" "`TableResult` et `GeometryResult` affichent les données de résultat avec " "les informations de l'objet source" msgid "" "Centralized CSS styling in `HTML_TABLE_CSS` constant for consistent " "appearance" msgstr "" "Centralisation du style CSS dans la constante `HTML_TABLE_CSS` pour une " "apparence cohérente" #~ msgid "Sigima Version 1.1.0" #~ msgstr "" Sigima-1.1.1/doc/locale/fr/LC_MESSAGES/remote_example.po000066400000000000000000000026041514013333200224660ustar00rootroot00000000000000# SOME DESCRIPTIVE TITLE. # Copyright (C) 2025, DataLab Platform Developers # This file is distributed under the same license as the Sigima package. # FIRST AUTHOR , 2025. # #, fuzzy msgid "" msgstr "" "Project-Id-Version: Sigima \n" "Report-Msgid-Bugs-To: \n" "PO-Revision-Date: YEAR-MO-DA HO:MI+ZONE\n" "Language: fr\n" "Language-Team: fr \n" "Plural-Forms: nplurals=2; plural=(n > 1);\n" "MIME-Version: 1.0\n" "Content-Type: text/plain; charset=utf-8\n" "Content-Transfer-Encoding: 8bit\n" "Generated-By: Babel 2.17.0\n" msgid "DataLab remote control example" msgstr "Exemple de contrôle à distance de DataLab" msgid "Example of remote control of DataLab current session, from a simple notebook, using the `SimpleRemoteProxy` class provided in the `sigima.client` module." msgstr "Exemple de contrôle à distance de la session actuelle de DataLab, à partir d'un simple notebook, en utilisant la classe `SimpleRemoteProxy` fournie dans le module `sigima.client`." msgid "The only requirement is to install the *Sigima* package (using `pip install sigima`, for example)." msgstr "La seule exigence est d'installer le paquet *Sigima* (en utilisant `pip install sigima`, par exemple)." msgid "Connecting to DataLab current session:" msgstr "Connexion à la session actuelle de DataLab :" msgid "Executing commands in DataLab:" msgstr "Exécution des commandes dans DataLab :" Sigima-1.1.1/doc/locale/fr/LC_MESSAGES/requirements.po000066400000000000000000000144421514013333200222060ustar00rootroot00000000000000# SOME DESCRIPTIVE TITLE. # Copyright (C) 2025, DataLab Platform Developers # This file is distributed under the same license as the Sigima package. # FIRST AUTHOR , 2025. # #, fuzzy msgid "" msgstr "" "Project-Id-Version: Sigima \n" "Report-Msgid-Bugs-To: \n" "PO-Revision-Date: YEAR-MO-DA HO:MI+ZONE\n" "Language: fr\n" "Language-Team: fr \n" "Plural-Forms: nplurals=2; plural=(n > 1);\n" "MIME-Version: 1.0\n" "Content-Type: text/plain; charset=utf-8\n" "Content-Transfer-Encoding: 8bit\n" "Generated-By: Babel 2.17.0\n" msgid "The `sigima` package requires the following Python modules:" msgstr "Le paquet `sigima` nécessite les modules Python suivants :" msgid "Name" msgstr "Nom" msgid "Version" msgstr "Version" msgid "Summary" msgstr "Résumé" msgid "Python" msgstr "Python" msgid ">=3.9, <4" msgstr "" msgid "Python programming language" msgstr "Langage de programmation Python" msgid "guidata" msgstr "guidata" msgid ">= 3.13" msgstr "" msgid "Automatic GUI generation for easy dataset editing and display" msgstr "Génération automatique d'interface graphique pour une édition et un affichage faciles des ensembles de données" msgid "NumPy" msgstr "" msgid ">= 1.22, < 2.5" msgstr "" msgid "Fundamental package for array computing in Python" msgstr "Paquet fondamental pour le calcul sur tableaux en Python" msgid "SciPy" msgstr "" msgid ">= 1.10.1, < 1.17" msgstr "" msgid "Fundamental algorithms for scientific computing in Python" msgstr "Algorithmes fondamentaux pour le calcul scientifique en Python" msgid "scikit-image" msgstr "" msgid ">= 0.19.2, < 0.27" msgstr "" msgid "Image processing in Python" msgstr "Traitement d'image en Python" msgid "pandas" msgstr "" msgid ">= 1.4, < 3.0" msgstr "" msgid "Powerful data structures for data analysis, time series, and statistics" msgstr "" msgid "PyWavelets" msgstr "" msgid ">= 1.2, < 2.0" msgstr "" msgid "PyWavelets, wavelet transform module" msgstr "PyWavelets, module de transformation en ondelettes" msgid "packaging" msgstr "" msgid ">= 21.3" msgstr "" msgid "Core utilities for Python packages" msgstr "Utilitaires de base pour les paquets Python" msgid "typing-extensions" msgstr "" msgid ">= 4.0" msgstr "" msgid "Backported and Experimental Type Hints for Python 3.9+" msgstr "Extensions de typage rétroportées et expérimentales pour Python 3.9+" msgid "makefun" msgstr "" msgid ">= 1.13.1" msgstr "" msgid "Small library to dynamically create python functions." msgstr "" msgid "Optional modules for GUI support (Qt):" msgstr "" msgid "qtpy" msgstr "" msgid "Provides an abstraction layer on top of the various Qt bindings (PyQt5/6 and PySide2/6)." msgstr "Fournit une couche d'abstraction au-dessus des différentes liaisons Qt (PyQt5/6 et PySide2/6)." msgid "PyQt5" msgstr "" msgid "Python bindings for the Qt cross platform application toolkit" msgstr "Liaisons Python pour l'outil de développement d'applications multiplateforme Qt" msgid "plotpy" msgstr "" msgid "Curve and image plotting tools for Python/Qt applications" msgstr "Outils de traçage de courbes et d'images pour les applications Python/Qt" msgid "Optional modules for development:" msgstr "Modules facultatifs pour le développement :" msgid "build" msgstr "" msgid "A simple, correct Python build frontend" msgstr "Un frontend de construction Python simple et correct" msgid "babel" msgstr "" msgid "Internationalization utilities" msgstr "Utilitaires d'internationalisation" msgid "ruff" msgstr "" msgid "An extremely fast Python linter and code formatter, written in Rust." msgstr "Un linter Python extrêmement rapide et un formateur de code, écrit en Rust." msgid "pylint" msgstr "" msgid "python code static checker" msgstr "Analyseur statique de code Python" msgid "Coverage" msgstr "" msgid "Code coverage measurement for Python" msgstr "Mesure de la couverture du code pour Python" msgid "pre-commit" msgstr "" msgid "A framework for managing and maintaining multi-language pre-commit hooks." msgstr "Un framework pour gérer et maintenir des hooks de pré-commit multi-langages." msgid "Optional modules for building the documentation:" msgstr "Modules facultatifs pour la construction de la documentation :" msgid "sphinx" msgstr "" msgid "Python documentation generator" msgstr "Générateur de documentation Python" msgid "sphinx-gallery" msgstr "" msgid "A Sphinx extension that builds an HTML gallery of examples from any set of Python scripts." msgstr "Une extension Sphinx qui crée une galerie HTML d'exemples à partir de n'importe quel ensemble de scripts Python." msgid "sphinx_intl" msgstr "" msgid "Sphinx utility that make it easy to translate and to apply translation." msgstr "Utilitaire Sphinx qui facilite la traduction et l'application de la traduction." msgid "myst_parser" msgstr "" msgid "An extended [CommonMark](https://spec.commonmark.org/) compliant parser," msgstr "Un analyseur conforme à [CommonMark](https://spec.commonmark.org/) étendu," msgid "myst-nb" msgstr "" msgid "A Jupyter Notebook Sphinx reader built on top of the MyST markdown parser." msgstr "" msgid "sphinx_design" msgstr "" msgid "A sphinx extension for designing beautiful, view size responsive web components." msgstr "Une extension Sphinx pour concevoir de beaux composants web réactifs à la taille de la vue." msgid "sphinx-copybutton" msgstr "" msgid "Add a copy button to each of your code cells." msgstr "Ajoute un bouton de copie à chacune de vos cellules de code." msgid "pydata-sphinx-theme" msgstr "" msgid "Bootstrap-based Sphinx theme from the PyData community" msgstr "Thème Sphinx basé sur Bootstrap de la communauté PyData" msgid "matplotlib" msgstr "" #, fuzzy msgid "Python plotting package" msgstr "Langage de programmation Python" msgid "opencv-python-headless" msgstr "" msgid ">= 4.8.1.78" msgstr "" msgid "Wrapper package for OpenCV python bindings." msgstr "Bibliothèque d'interfaces Python pour OpenCV." msgid "Optional modules for running test suite:" msgstr "Modules facultatifs pour exécuter la suite de tests :" msgid "pytest" msgstr "" msgid "pytest: simple powerful testing with Python" msgstr "pytest : tests simples et puissants avec Python" msgid "pytest-xvfb" msgstr "" msgid "A pytest plugin to run Xvfb (or Xephyr/Xvnc) for tests." msgstr "Un plugin pytest pour exécuter Xvfb (ou Xephyr/Xvnc) pour les tests." Sigima-1.1.1/doc/locale/fr/LC_MESSAGES/simple_example.po000066400000000000000000000025531514013333200224670ustar00rootroot00000000000000# SOME DESCRIPTIVE TITLE. # Copyright (C) 2025, DataLab Platform Developers # This file is distributed under the same license as the Sigima package. # FIRST AUTHOR , 2025. # #, fuzzy msgid "" msgstr "" "Project-Id-Version: Sigima \n" "Report-Msgid-Bugs-To: \n" "PO-Revision-Date: YEAR-MO-DA HO:MI+ZONE\n" "Language: fr\n" "Language-Team: fr \n" "Plural-Forms: nplurals=2; plural=(n > 1);\n" "MIME-Version: 1.0\n" "Content-Type: text/plain; charset=utf-8\n" "Content-Transfer-Encoding: 8bit\n" "Generated-By: Babel 2.17.0\n" msgid "Prepare data and compute processing feature" msgstr "Préparer les données et calculer la fonctionnalité de traitement" msgid "Demonstration of using Regions of Interest (ROIs) in image processing with **Sigima**" msgstr "Démonstration de l'utilisation des régions d'intérêt (ROI) dans le traitement d'images avec **Sigima**" msgid "Display results" msgstr "Afficher les résultats" msgid "ℹ️ The following code use `viz` Matplotlib backend which has been introduced in Sigima V1.1" msgstr "ℹ️ Le code suivant utilise le backend Matplotlib de `viz` qui a été introduit dans Sigima V1.1" #, fuzzy msgid "Sigima V1.0 uses an internal version of `viz` for image display based on PlotPy (`tests.vistools`)." msgstr "Sigima V1.0 utilise une version interne de `viz` pour l'affichage des images basée sur PlotPy" Sigima-1.1.1/doc/locale/fr/LC_MESSAGES/user_guide/000077500000000000000000000000001514013333200212515ustar00rootroot00000000000000Sigima-1.1.1/doc/locale/fr/LC_MESSAGES/user_guide/features.po000066400000000000000000001024271514013333200234350ustar00rootroot00000000000000# SOME DESCRIPTIVE TITLE. # Copyright (C) 2025, DataLab Platform Developers # This file is distributed under the same license as the Sigima package. # FIRST AUTHOR , 2025. # #, fuzzy msgid "" msgstr "" "Project-Id-Version: Sigima \n" "Report-Msgid-Bugs-To: \n" "PO-Revision-Date: YEAR-MO-DA HO:MI+ZONE\n" "Language: fr\n" "Language-Team: fr \n" "Plural-Forms: nplurals=2; plural=(n > 1);\n" "MIME-Version: 1.0\n" "Content-Type: text/plain; charset=utf-8\n" "Content-Transfer-Encoding: 8bit\n" "Generated-By: Babel 2.17.0\n" msgid "Features" msgstr "Fonctionnalités" msgid "Sigima provides a comprehensive suite of signal and image processing computational features organized into logical categories. This page provides an organized overview of all available computation functions with direct links to their API documentation." msgstr "Sigima offre une suite complète de fonctionnalités de traitement des signaux et des images, organisées en catégories logiques. Cette page fournit un aperçu organisé de toutes les fonctions de calcul disponibles avec des liens directs vers leur documentation API." msgid "All computation functions are available in the :mod:`sigima.proc` module. The :mod:`sigima.tools` modules provide lower-level utility functions used internally by the proc functions." msgstr "Toutes les fonctions de calcul sont disponibles dans le module :mod:`sigima.proc`. Les modules :mod:`sigima.tools` fournissent des fonctions utilitaires de bas niveau utilisées en interne par les fonctions proc." msgid "Common Operations" msgstr "Opérations courantes" msgid "These operations are available for both signals and images with similar functionality." msgstr "Ces opérations sont disponibles à la fois pour les signaux et les images avec une fonctionnalité similaire." msgid "Arithmetic Operations" msgstr "Opérations arithmétiques" msgid "Signal Functions" msgstr "Fonctions de signal" msgid "Image Functions" msgstr "Fonctions d'image" msgid "Description" msgstr "Description" msgid ":func:`addition `" msgstr "" msgid ":func:`addition `" msgstr "" msgid "Add two signals/images" msgstr "Ajouter deux signaux/images" msgid ":func:`difference `" msgstr "" msgid ":func:`difference `" msgstr "" msgid "Subtract one signal/image from another" msgstr "Soustraire un signal/image d'un autre" msgid ":func:`product `" msgstr "" msgid ":func:`product `" msgstr "" msgid "Multiply two signals/images" msgstr "Multiplier deux signaux/images" msgid ":func:`division `" msgstr "" msgid ":func:`division `" msgstr "" msgid "Divide one signal/image by another" msgstr "Diviser un signal/image par un autre" msgid ":func:`average `" msgstr "" msgid ":func:`average `" msgstr "" msgid "Compute average of multiple signals/images" msgstr "Calculer la moyenne de plusieurs signaux/images" msgid ":func:`standard_deviation `" msgstr "" msgid ":func:`standard_deviation `" msgstr "" msgid "Compute standard deviation of multiple signals/images" msgstr "Calculer l'écart-type de plusieurs signaux/images" msgid ":func:`quadratic_difference `" msgstr "" msgid ":func:`quadratic_difference `" msgstr "" msgid "Compute quadratic difference between signals/images" msgstr "Calculer la différence quadratique entre signaux/images" msgid ":func:`arithmetic `" msgstr "" msgid ":func:`arithmetic `" msgstr "" msgid "Generic arithmetic operations with parameters" msgstr "Opérations arithmétiques génériques avec paramètres" msgid "Constant Operations" msgstr "Opérations avec constantes" msgid ":func:`addition_constant `" msgstr "" msgid ":func:`addition_constant `" msgstr "" msgid "Add a constant value to signal/image" msgstr "Ajouter une constante au signal/image" msgid ":func:`difference_constant `" msgstr "" msgid ":func:`difference_constant `" msgstr "" msgid "Subtract a constant from signal/image" msgstr "Soustraire une constante du signal/image" msgid ":func:`product_constant `" msgstr "" msgid ":func:`product_constant `" msgstr "" msgid "Multiply signal/image by a constant" msgstr "Multiplier le signal/image par une constante" msgid ":func:`division_constant `" msgstr "" msgid ":func:`division_constant `" msgstr "" msgid "Divide signal/image by a constant" msgstr "Diviser le signal/image par une constante" msgid "Mathematical Operations" msgstr "Opérations mathématiques" msgid ":func:`absolute `" msgstr "" msgid ":func:`absolute `" msgstr "" msgid "Compute absolute value" msgstr "Calculer la valeur absolue" msgid ":func:`exp `" msgstr "" msgid ":func:`exp `" msgstr "" msgid "Exponential function" msgstr "Fonction exponentielle" msgid ":func:`log10 `" msgstr "" msgid ":func:`log10 `" msgstr "" msgid "Base-10 logarithm" msgstr "Logarithme en base 10" msgid ":func:`inverse `" msgstr "" msgid ":func:`inverse `" msgstr "" msgid "Compute reciprocal" msgstr "Calculer l'inverse" msgid ":func:`real `" msgstr "" msgid ":func:`real `" msgstr "" msgid "Extract real part of complex data" msgstr "Extraire la partie réelle des données complexes" msgid ":func:`imag `" msgstr "" msgid ":func:`imag `" msgstr "" msgid "Extract imaginary part of complex data" msgstr "Extraire la partie imaginaire des données complexes" msgid ":func:`phase `" msgstr "" msgid ":func:`phase `" msgstr "" msgid "Extract phase of complex data" msgstr "Extraire la phase des données complexes" msgid ":func:`astype `" msgstr "" msgid ":func:`astype `" msgstr "" msgid "Convert data type" msgstr "Convertir le type de données" msgid ":func:`transpose `" msgstr "" msgid ":func:`transpose `" msgstr "" msgid "Transpose coordinates/axes" msgstr "Transposer les coordonnées/axes" msgid "N/A" msgstr "N/A" msgid ":func:`log10_z_plus_n `" msgstr "" msgid "Log10 with offset for zero handling" msgstr "Log10 avec décalage pour la gestion des zéros" msgid "Signal-Specific Mathematical Operations" msgstr "Opérations mathématiques spécifiques aux signaux" msgid "Function" msgstr "Fonction" msgid ":func:`sqrt `" msgstr "" msgid "Square root" msgstr "Racine carrée" msgid ":func:`power `" msgstr "" msgid "Raise to power" msgstr "Élever à une puissance" msgid ":func:`to_cartesian `" msgstr "" msgid "Convert to Cartesian coordinates" msgstr "Convertir en coordonnées cartésiennes" msgid ":func:`to_polar `" msgstr "" msgid "Convert to polar coordinates" msgstr "Convertir en coordonnées polaires" msgid "Complex Number Operations" msgstr "Opérations sur les nombres complexes" msgid ":func:`complex_from_real_imag `" msgstr "" msgid ":func:`complex_from_real_imag `" msgstr "" msgid "Create complex data from real and imaginary parts" msgstr "Créer des données complexes à partir des parties réelle et imaginaire" msgid ":func:`complex_from_magnitude_phase `" msgstr "" msgid ":func:`complex_from_magnitude_phase `" msgstr "" msgid "Create complex data from magnitude and phase" msgstr "Créer des données complexes à partir du module et de la phase" msgid "Fourier Analysis" msgstr "Analyse de Fourier" msgid ":func:`fft `" msgstr "" msgid ":func:`fft `" msgstr "" msgid "Fast Fourier Transform (1D/2D)" msgstr "Transformée de Fourier rapide (1D/2D)" msgid ":func:`ifft `" msgstr "" msgid ":func:`ifft `" msgstr "" msgid "Inverse Fast Fourier Transform (1D/2D)" msgstr "Transformée de Fourier rapide inverse (1D/2D)" msgid ":func:`magnitude_spectrum `" msgstr "" msgid ":func:`magnitude_spectrum `" msgstr "" msgid "Magnitude spectrum" msgstr "Spectre de magnitude" msgid ":func:`phase_spectrum `" msgstr "" msgid ":func:`phase_spectrum `" msgstr "" msgid "Phase spectrum" msgstr "Spectre de phase" msgid ":func:`psd `" msgstr "" msgid ":func:`psd `" msgstr "" msgid "Power spectral density" msgstr "Densité spectrale de puissance" msgid "Convolution Operations" msgstr "Opérations de convolution" msgid ":func:`convolution `" msgstr "" msgid ":func:`convolution `" msgstr "" msgid "Convolution operation" msgstr "Opération de convolution" msgid ":func:`deconvolution `" msgstr "" msgid ":func:`deconvolution `" msgstr "" msgid "Deconvolution operation" msgstr "Opération de déconvolution" msgid "Filtering" msgstr "Filtrage" msgid ":func:`gaussian_filter `" msgstr "" msgid ":func:`gaussian_filter `" msgstr "" msgid "Gaussian smoothing filter" msgstr "Filtre de lissage gaussien" msgid ":func:`moving_average `" msgstr "" msgid ":func:`moving_average `" msgstr "" msgid "Moving average filter" msgstr "Filtre moyenne mobile" msgid ":func:`moving_median `" msgstr "" msgid ":func:`moving_median `" msgstr "" msgid "Moving median filter" msgstr "Filtre médian mobile" msgid ":func:`wiener `" msgstr "" msgid ":func:`wiener `" msgstr "" msgid "Wiener filter" msgstr "Filtre de Wiener" msgid "Noise Addition" msgstr "Ajout de bruit" msgid ":func:`add_gaussian_noise `" msgstr "" msgid ":func:`add_gaussian_noise `" msgstr "" msgid "Add Gaussian noise for testing" msgstr "Ajouter du bruit gaussien pour les tests" msgid ":func:`add_poisson_noise `" msgstr "" msgid ":func:`add_poisson_noise `" msgstr "" msgid "Add Poisson noise for testing" msgstr "Ajouter du bruit de Poisson pour les tests" msgid ":func:`add_uniform_noise `" msgstr "" msgid ":func:`add_uniform_noise `" msgstr "" msgid "Add uniform noise for testing" msgstr "Ajouter du bruit uniforme pour les tests" msgid "Signal Conditioning" msgstr "Conditionnement du signal" msgid ":func:`normalize `" msgstr "" msgid ":func:`normalize `" msgstr "" msgid "Normalize amplitude/intensity values" msgstr "Normaliser les valeurs d'amplitude/intensité" msgid ":func:`clip `" msgstr "" msgid ":func:`clip `" msgstr "" msgid "Clip values to specified range" msgstr "Écrêter les valeurs à une plage spécifiée" msgid ":func:`offset_correction `" msgstr "" msgid ":func:`offset_correction `" msgstr "" msgid "Remove DC offset/background" msgstr "Supprimer le décalage DC/fond continu" msgid "Region of Interest (ROI)" msgstr "Région d'intérêt (ROI)" msgid ":func:`extract_roi `" msgstr "" msgid ":func:`extract_roi `" msgstr "" msgid "Extract single ROI from data" msgstr "Extraire une seule ROI des données" msgid ":func:`extract_rois `" msgstr "" msgid ":func:`extract_rois `" msgstr "" msgid "Extract multiple ROIs from data" msgstr "Extraire plusieurs ROI des données" msgid "Calibration" msgstr "Étalonnage" msgid ":func:`calibration `" msgstr "" msgid ":func:`calibration `" msgstr "" msgid "Apply coordinate system calibration" msgstr "Appliquer l'étalonnage du système de coordonnées" msgid "Signal Processing" msgstr "Traitement du signal" msgid "Array Operations" msgstr "Opérations sur les tableaux" msgid ":func:`signals_to_image `" msgstr "" msgid "Convert signals to image representation" msgstr "Convertir les signaux en représentation image" msgid "Frequency Filtering" msgstr "Filtrage fréquentiel" msgid ":func:`lowpass `" msgstr "" msgid "Low-pass filter" msgstr "Filtre passe-bas" msgid ":func:`highpass `" msgstr "" msgid "High-pass filter" msgstr "Filtre passe-haut" msgid ":func:`bandpass `" msgstr "" msgid "Band-pass filter" msgstr "Filtre passe-bande" msgid ":func:`bandstop `" msgstr "" msgid "Band-stop filter" msgstr "Filtre coupe-bande" msgid ":func:`frequency_filter `" msgstr "" msgid "Generic frequency filtering" msgstr "Filtrage fréquentiel générique" msgid "Signal Conditioning & Processing" msgstr "Conditionnement et traitement du signal" msgid ":func:`detrending `" msgstr "" msgid "Remove linear trend" msgstr "Supprimer la tendance linéaire" msgid ":func:`apply_window `" msgstr "" msgid "Apply windowing function" msgstr "Appliquer une fonction de fenêtrage" msgid ":func:`resampling `" msgstr "" msgid "Resample signal" msgstr "Rééchantillonner le signal" msgid ":func:`interpolate `" msgstr "" msgid "Interpolate signal" msgstr "Interpoler le signal" msgid ":func:`reverse_x `" msgstr "" msgid "Reverse x-axis order" msgstr "Inverser l'ordre de l'axe des x" msgid ":func:`xy_mode `" msgstr "" msgid "Handle XY coordinate modes" msgstr "Gérer les modes de coordonnées XY" msgid ":func:`replace_x_by_other_y `" msgstr "" msgid "Replace X axis using another signal's Y values" msgstr "Remplacer l'axe X en utilisant les valeurs Y d'un autre signal" msgid ":func:`zero_padding `" msgstr "" msgid "Zero-padding for signals" msgstr "Remplissage de zéros pour les signaux" msgid "Signal Analysis" msgstr "Analyse de signal" msgid ":func:`stats `" msgstr "" msgid "Statistical measurements" msgstr "Mesures statistiques" msgid ":func:`histogram `" msgstr "" msgid "Compute signal histogram" msgstr "Calculer l'histogramme du signal" msgid ":func:`contrast `" msgstr "" msgid "Compute signal contrast" msgstr "Calculer le contraste du signal" msgid ":func:`derivative `" msgstr "" msgid "Compute signal derivative" msgstr "Calculer la dérivée du signal" msgid ":func:`integral `" msgstr "" msgid "Compute signal integral" msgstr "Calculer l'intégrale du signal" msgid ":func:`sampling_rate_period `" msgstr "" msgid "Analyze sampling rate and period" msgstr "Analyser le taux et la période d'échantillonnage" msgid "Peak and Feature Detection" msgstr "Détection de pics et de caractéristiques" msgid ":func:`peak_detection `" msgstr "" msgid "Peak detection in signals" msgstr "Détection de pics dans les signaux" msgid ":func:`bandwidth_3db `" msgstr "" msgid "3dB bandwidth measurement" msgstr "Mesure de la bande passante à 3 dB" msgid ":func:`fwhm `" msgstr "" msgid "Full Width at Half Maximum" msgstr "Largeur à mi-hauteur" msgid ":func:`fw1e2 `" msgstr "" msgid "Full Width at 1/e²" msgstr "Largeur à 1/e²" msgid ":func:`full_width_at_y `" msgstr "" msgid "Full width at custom level" msgstr "Largeur à un niveau personnalisé" msgid ":func:`dynamic_parameters `" msgstr "" msgid "Dynamic range parameters" msgstr "Paramètres de dynamique" msgid ":func:`x_at_y `" msgstr "" msgid "Find x-coordinates at given y-value" msgstr "Trouver les coordonnées x pour une valeur y donnée" msgid ":func:`y_at_x `" msgstr "" msgid "Find y-values at given x-coordinate" msgstr "Trouver les valeurs y pour une coordonnée x donnée" msgid ":func:`x_at_minmax `" msgstr "" msgid "Find x-coordinates of extrema" msgstr "Trouver les coordonnées x des extrema" msgid "Curve Fitting" msgstr "Ajustement de courbes" msgid ":func:`linear_fit `" msgstr "" msgid "Linear regression" msgstr "Régression linéaire" msgid ":func:`polynomial_fit `" msgstr "" msgid "Polynomial fitting" msgstr "Ajustement polynomial" msgid ":func:`gaussian_fit `" msgstr "" msgid "Gaussian curve fitting" msgstr "Ajustement gaussien" msgid ":func:`lorentzian_fit `" msgstr "" msgid "Lorentzian curve fitting" msgstr "Ajustement lorentzien" msgid ":func:`voigt_fit `" msgstr "" msgid "Voigt profile fitting" msgstr "Ajustement de profil de Voigt" msgid ":func:`twohalfgaussian_fit `" msgstr "" msgid "Two-half Gaussian fitting" msgstr "Ajustement bi-gaussien" msgid ":func:`exponential_fit `" msgstr "" msgid "Exponential decay fitting" msgstr "Ajustement exponentiel décroissant" msgid ":func:`piecewiseexponential_fit `" msgstr "" msgid "Piecewise exponential fitting" msgstr "Ajustement exponentiel par morceaux" msgid ":func:`sigmoid_fit `" msgstr "" msgid "Sigmoid curve fitting" msgstr "Ajustement sigmoïde" msgid ":func:`sinusoidal_fit `" msgstr "" msgid "Sinusoidal fitting" msgstr "Ajustement sinusoïdal" msgid ":func:`planckian_fit `" msgstr "" msgid "Planckian (blackbody) fitting" msgstr "Ajustement planckien (corps noir)" msgid ":func:`cdf_fit `" msgstr "" msgid "Cumulative distribution function fitting" msgstr "Ajustement de fonction de distribution cumulative" msgid ":func:`evaluate_fit `" msgstr "" msgid "Evaluate fitted function" msgstr "Évaluer la fonction ajustée" msgid ":func:`extract_fit_params `" msgstr "" msgid "Extract fitting parameters" msgstr "Extraire les paramètres d'ajustement" msgid "Stability Analysis" msgstr "Analyse de stabilité" msgid ":func:`allan_variance `" msgstr "" msgid "Allan variance" msgstr "Variance d'Allan" msgid ":func:`allan_deviation `" msgstr "" msgid "Allan deviation" msgstr "Déviation d'Allan" msgid ":func:`modified_allan_variance `" msgstr "" msgid "Modified Allan variance" msgstr "Variance d'Allan modifiée" msgid ":func:`overlapping_allan_variance `" msgstr "" msgid "Overlapping Allan variance" msgstr "Variance d'Allan avec chevauchement" msgid ":func:`hadamard_variance `" msgstr "" msgid "Hadamard variance" msgstr "Variance de Hadamard" msgid ":func:`time_deviation `" msgstr "" msgid "Time deviation" msgstr "Déviation temporelle" msgid ":func:`total_variance `" msgstr "" msgid "Total variance" msgstr "Variance totale" msgid "Pulse Analysis" msgstr "Analyse d'impulsion" msgid ":func:`extract_pulse_features `" msgstr "" msgid "Extract comprehensive pulse characteristics" msgstr "Extraire les caractéristiques complètes de l'impulsion" msgid "Utility Functions" msgstr "Fonctions utilitaires" msgid ":func:`check_same_sample_rate `" msgstr "" msgid "Verify consistent sampling rates" msgstr "Vérifier la cohérence des taux d'échantillonnage" msgid ":func:`get_nyquist_frequency `" msgstr "" msgid "Calculate Nyquist frequency" msgstr "Calculer la fréquence de Nyquist" msgid "Image Processing" msgstr "Traitement d'image" msgid "Geometry and Transformations" msgstr "Géométrie et transformations" msgid ":func:`rotate `" msgstr "" msgid "Rotate image by arbitrary angle" msgstr "Faire pivoter l'image d'un angle quelconque" msgid ":func:`rotate90 `" msgstr "" msgid "Rotate image 90° clockwise" msgstr "Faire pivoter l'image de 90° dans le sens horaire" msgid ":func:`rotate270 `" msgstr "" msgid "Rotate image 270° clockwise" msgstr "Faire pivoter l'image de 270° dans le sens horaire" msgid ":func:`fliph `" msgstr "" msgid "Flip image horizontally" msgstr "Retourner l'image horizontalement" msgid ":func:`flipv `" msgstr "" msgid "Flip image vertically" msgstr "Retourner l'image verticalement" msgid ":func:`translate `" msgstr "" msgid "Translate image by specified offset" msgstr "Translater l'image d'un décalage spécifié" msgid ":func:`resize `" msgstr "" msgid "Resize image to specified dimensions" msgstr "Redimensionner l'image aux dimensions spécifiées" msgid ":func:`resampling `" msgstr "" msgid "Resample image with different methods" msgstr "Rééchantillonner l'image avec différentes méthodes" msgid ":func:`binning `" msgstr "" msgid "Reduce image size by binning pixels" msgstr "Réduire la taille de l'image par regroupement de pixels" msgid ":func:`set_uniform_coords `" msgstr "" msgid "Set uniform coordinate system" msgstr "Définir un système de coordonnées uniforme" msgid ":data:`transformer `" msgstr "" msgid "Apply custom geometric transformations" msgstr "Appliquer des transformations géométriques personnalisées" msgid "Frequency Domain Filtering" msgstr "Filtrage dans le domaine fréquentiel" msgid ":func:`butterworth `" msgstr "" msgid "Butterworth frequency filter" msgstr "Filtre fréquentiel de Butterworth" msgid ":func:`gaussian_freq_filter `" msgstr "" msgid "Gaussian frequency filter" msgstr "Filtre fréquentiel gaussien" msgid "Edge Detection" msgstr "Détection de contours" msgid ":func:`sobel `" msgstr "" msgid "Sobel edge detector" msgstr "Détecteur de contours Sobel" msgid ":func:`sobel_h `" msgstr "" msgid "Sobel horizontal edges" msgstr "Contours horizontaux Sobel" msgid ":func:`sobel_v `" msgstr "" msgid "Sobel vertical edges" msgstr "Contours verticaux Sobel" msgid ":func:`scharr `" msgstr "" msgid "Scharr edge detector" msgstr "Détecteur de contours Scharr" msgid ":func:`scharr_h `" msgstr "" msgid "Scharr horizontal edges" msgstr "Contours horizontaux Scharr" msgid ":func:`scharr_v `" msgstr "" msgid "Scharr vertical edges" msgstr "Contours verticaux Scharr" msgid ":func:`prewitt `" msgstr "" msgid "Prewitt edge detector" msgstr "Détecteur de contours Prewitt" msgid ":func:`prewitt_h `" msgstr "" msgid "Prewitt horizontal edges" msgstr "Contours horizontaux Prewitt" msgid ":func:`prewitt_v `" msgstr "" msgid "Prewitt vertical edges" msgstr "Contours verticaux Prewitt" msgid ":func:`farid `" msgstr "" msgid "Farid edge detector" msgstr "Détecteur de contours Farid" msgid ":func:`farid_h `" msgstr "" msgid "Farid horizontal edges" msgstr "Contours horizontaux Farid" msgid ":func:`farid_v `" msgstr "" msgid "Farid vertical edges" msgstr "Contours verticaux Farid" msgid ":func:`roberts `" msgstr "" msgid "Roberts cross-gradient" msgstr "Gradient croisé de Roberts" msgid ":func:`laplace `" msgstr "" msgid "Laplacian edge detector" msgstr "Détecteur de contours laplacien" msgid ":func:`canny `" msgstr "" msgid "Canny edge detector" msgstr "Détecteur de contours Canny" msgid "Feature Detection" msgstr "Détection de caractéristiques" msgid ":func:`blob_dog `" msgstr "" msgid "Blob detection using Difference of Gaussians" msgstr "Détection de blobs par différence de gaussiennes" msgid ":func:`blob_doh `" msgstr "" msgid "Blob detection using Determinant of Hessian" msgstr "Détection de blobs par déterminant de Hessien" msgid ":func:`blob_log `" msgstr "" msgid "Blob detection using Laplacian of Gaussians" msgstr "Détection de blobs par laplacien de gaussiennes" msgid ":func:`blob_opencv `" msgstr "" msgid "OpenCV-based blob detection" msgstr "Détection de blobs basée sur OpenCV" msgid ":func:`peak_detection `" msgstr "" msgid "2D peak detection" msgstr "Détection de pics 2D" msgid ":func:`contour_shape `" msgstr "" msgid "Contour shape analysis" msgstr "Analyse de forme de contour" msgid ":func:`hough_circle_peaks `" msgstr "" msgid "Circular Hough transform" msgstr "Transformée de Hough circulaire" msgid "Morphological Operations" msgstr "Opérations morphologiques" msgid ":func:`erosion `" msgstr "" msgid "Morphological erosion" msgstr "Érosion morphologique" msgid ":func:`dilation `" msgstr "" msgid "Morphological dilation" msgstr "Dilatation morphologique" msgid ":func:`opening `" msgstr "" msgid "Morphological opening" msgstr "Ouverture morphologique" msgid ":func:`closing `" msgstr "" msgid "Morphological closing" msgstr "Fermeture morphologique" msgid ":func:`white_tophat `" msgstr "" msgid "White top-hat transform" msgstr "Transformée Top-Hat" msgid ":func:`black_tophat `" msgstr "" msgid "Black top-hat transform" msgstr "Transformée Top-Hat dual" msgid "Thresholding" msgstr "Seuillage" msgid ":func:`threshold `" msgstr "" msgid "Manual threshold with custom value" msgstr "Seuillage manuel avec valeur personnalisée" msgid ":func:`threshold_otsu `" msgstr "" msgid "Otsu's thresholding" msgstr "Seuillage d'Otsu" msgid ":func:`threshold_li `" msgstr "" msgid "Li's thresholding" msgstr "Seuillage de Li" msgid ":func:`threshold_yen `" msgstr "" msgid "Yen's thresholding" msgstr "Seuillage de Yen" msgid ":func:`threshold_triangle `" msgstr "" msgid "Triangle thresholding" msgstr "Seuillage triangulaire" msgid ":func:`threshold_isodata `" msgstr "" msgid "Isodata thresholding" msgstr "Seuillage isodata" msgid ":func:`threshold_mean `" msgstr "" msgid "Mean thresholding" msgstr "Seuillage par moyenne" msgid ":func:`threshold_minimum `" msgstr "" msgid "Minimum thresholding" msgstr "Seuillage minimal" msgid "Exposure and Intensity Correction" msgstr "Correction d'exposition et d'intensité" msgid ":func:`histogram `" msgstr "" msgid "Compute image histogram" msgstr "Calculer l'histogramme de l'image" msgid ":func:`equalize_hist `" msgstr "" msgid "Histogram equalization" msgstr "Égalisation d'histogramme" msgid ":func:`equalize_adapthist `" msgstr "" msgid "Adaptive histogram equalization" msgstr "Égalisation d'histogramme adaptative" msgid ":func:`adjust_gamma `" msgstr "" msgid "Gamma correction" msgstr "Correction gamma" msgid ":func:`adjust_log `" msgstr "" msgid "Logarithmic adjustment" msgstr "Ajustement logarithmique" msgid ":func:`adjust_sigmoid `" msgstr "" msgid "Sigmoid adjustment" msgstr "Ajustement sigmoïde" msgid ":func:`rescale_intensity `" msgstr "" msgid "Rescale intensity range" msgstr "Remise à l'échelle de la plage d'intensité" msgid ":func:`flatfield `" msgstr "" msgid "Flat-field correction" msgstr "Correction de champ plat" msgid "Image Restoration" msgstr "Restauration d'image" msgid ":func:`denoise_bilateral `" msgstr "" msgid "Bilateral denoising" msgstr "Débruitage bilatéral" msgid ":func:`denoise_tv `" msgstr "" msgid "Total variation denoising" msgstr "Débruitage par variation totale" msgid ":func:`denoise_wavelet `" msgstr "" msgid "Wavelet denoising" msgstr "Débruitage par ondelettes" msgid ":func:`denoise_tophat `" msgstr "" msgid "Top-Hat denoising" msgstr "Débruitage Top-Hat" msgid ":func:`erase `" msgstr "" msgid "Erase image regions" msgstr "Effacer des régions de l'image" msgid "Preprocessing" msgstr "Prétraitement" msgid ":func:`zero_padding `" msgstr "" msgid "Zero-padding for images" msgstr "Remplissage de zéros pour les images" msgid "Measurements and Analysis" msgstr "" msgid ":func:`centroid `" msgstr "" msgid "Compute image centroid" msgstr "Calculer le centroïde de l'image" msgid ":func:`enclosing_circle `" msgstr "" msgid "Find minimum enclosing circle" msgstr "Trouver le cercle englobant minimal" msgid ":func:`stats `" msgstr "" msgid ":func:`line_profile `" msgstr "" msgid "Extract profile along a line" msgstr "Extraire le profil le long d'une ligne" msgid ":func:`segment_profile `" msgstr "" msgid "Extract profile along a multi-segment line" msgstr "Extraire le profil le long d'une ligne multi-segments" msgid ":func:`radial_profile `" msgstr "" msgid "Extract radial profile from center" msgstr "Extraire le profil radial à partir du centre" msgid ":func:`average_profile `" msgstr "" msgid "Average profile over region" msgstr "Profil moyen sur une région" msgid ":func:`horizontal_projection `" msgstr "" msgid "Project image onto horizontal axis" msgstr "Projeter l'image sur l'axe horizontal" msgid ":func:`vertical_projection `" msgstr "" msgid "Project image onto vertical axis" msgstr "Projeter l'image sur l'axe vertical" msgid ":func:`generate_image_grid_roi `" msgstr "" msgid "Generate grid of ROIs" msgstr "Générer une grille de ROI" msgid "See Also" msgstr "Voir aussi" msgid ":doc:`../api/proc` - Complete API reference for all processing functions" msgstr ":doc:`../api/proc` - Référence API complète pour toutes les fonctions de traitement" msgid ":doc:`../api/objects` - Data objects (SignalObj, ImageObj) used by processing functions" msgstr ":doc:`../api/objects` - Objets de données (SignalObj, ImageObj) utilisés par les fonctions de traitement" msgid ":doc:`../auto_examples/index` - Examples demonstrating various computation features" msgstr ":doc:`../auto_examples/index` - Exemples démontrant diverses fonctionnalités de calcul" Sigima-1.1.1/doc/locale/fr/LC_MESSAGES/user_guide/getting_started.po000066400000000000000000000124461514013333200250070ustar00rootroot00000000000000# SOME DESCRIPTIVE TITLE. # Copyright (C) 2025, DataLab Platform Developers # This file is distributed under the same license as the Sigima package. # FIRST AUTHOR , 2025. # #, fuzzy msgid "" msgstr "" "Project-Id-Version: Sigima \n" "Report-Msgid-Bugs-To: \n" "PO-Revision-Date: YEAR-MO-DA HO:MI+ZONE\n" "Language: fr\n" "Language-Team: fr \n" "Plural-Forms: nplurals=2; plural=(n > 1);\n" "MIME-Version: 1.0\n" "Content-Type: text/plain; charset=utf-8\n" "Content-Transfer-Encoding: 8bit\n" "Generated-By: Babel 2.17.0\n" msgid "Getting Started" msgstr "Premiers pas" msgid "This page provides a quick introduction to get you started with Sigima through practical examples." msgstr "Cette page fournit une introduction rapide pour vous aider à démarrer avec Sigima à travers des exemples pratiques." msgid "Interactive Notebook" msgstr "Notebook interactif" msgid "The best way to start learning Sigima is through an interactive Jupyter notebook. This example demonstrates image processing with Regions of Interest (ROI) and uses the matplotlib backend for web-friendly visualization." msgstr "La meilleure façon de commencer à apprendre Sigima est à travers un notebook Jupyter interactif. Cet exemple démontre le traitement d'images avec des régions d'intérêt (ROI) et utilise le backend matplotlib pour une visualisation adaptée au web." msgid ":download:`Download simple_example.ipynb <../simple_example.ipynb>`" msgstr "" msgid "What This Example Shows" msgstr "Ce que cet exemple montre" msgid "The notebook demonstrates:" msgstr "Le notebook démontre :" msgid "Creating image objects from NumPy arrays" msgstr "Créer des objets image à partir de tableaux NumPy" msgid "Defining Regions of Interest (ROI) for selective processing" msgstr "Définir des régions d'intérêt (ROI) pour un traitement sélectif" msgid "Applying Gaussian filtering to images" msgstr "Appliquer un filtrage gaussien aux images" msgid "Visualizing results with matplotlib backend (web-friendly, no Qt required)" msgstr "Visualiser les résultats avec le backend matplotlib (adapté au web, pas de Qt requis)" msgid "Using the new visualization backend selection feature introduced in Sigima V1.1" msgstr "Utiliser la nouvelle fonctionnalité de sélection du backend de visualisation introduite dans Sigima V1.1" msgid "Key Concepts" msgstr "Concepts clés" msgid "**Object-Oriented Approach**" msgstr "**Approche orientée objet**" msgid "Sigima wraps NumPy arrays in rich objects (``SignalObj``, ``ImageObj``) that carry metadata, units, and ROI information." msgstr "Sigima enveloppe les tableaux NumPy dans des objets riches (``SignalObj``, ``ImageObj``) qui portent des métadonnées, des unités et des informations ROI." msgid "**Region of Interest (ROI)**" msgstr "**Région d'intérêt (ROI)**" msgid "Process only specific areas of your data by defining ROIs. The example shows a circular ROI applied to an image." msgstr "Traitez uniquement des zones spécifiques de vos données en définissant des ROI. L'exemple montre une ROI circulaire appliquée à une image." msgid "**Backend Flexibility**" msgstr "**Flexibilité du backend**" msgid "Choose between PlotPy (Qt-based, interactive) or Matplotlib (web-friendly) backends for visualization, making Sigima suitable for both desktop applications and web-based workflows." msgstr "Choisissez entre les backends PlotPy (basé sur Qt, interactif) ou Matplotlib (adapté au web) pour la visualisation, rendant Sigima adapté à la fois aux applications de bureau et aux flux de travail basés sur le web." msgid "Remote Control Example" msgstr "Exemple de contrôle à distance" msgid "Sigima also enables remote control of DataLab sessions from external scripts or notebooks. This is useful for automation, batch processing, or integrating DataLab into larger workflows." msgstr "Sigima permet également le contrôle à distance des sessions DataLab à partir de scripts ou de notebooks externes. Cela est utile pour l'automatisation, le traitement par lots ou l'intégration de DataLab dans des flux de travail plus larges." msgid ":download:`Download remote_example.ipynb <../remote_example.ipynb>`" msgstr "" msgid "This notebook demonstrates:" msgstr "Ce notebook démontre :" msgid "Connecting to a running DataLab instance using ``SimpleRemoteProxy``" msgstr "Se connecter à une instance DataLab en cours d'exécution en utilisant ``SimpleRemoteProxy``" msgid "Adding signals and images to DataLab from external Python code" msgstr "Ajouter des signaux et des images à DataLab à partir de code Python externe" msgid "Controlling DataLab programmatically without GUI interaction" msgstr "Contrôler DataLab de manière programmatique sans interaction avec l'interface graphique" msgid "Next Steps" msgstr "Prochaines étapes" msgid "Explore the :ref:`features` page for a complete overview of available operations" msgstr "Explorez la page :ref:`features` pour un aperçu complet des opérations disponibles" msgid "Check out the :ref:`API documentation ` for detailed function references" msgstr "Consultez la :ref:`documentation API ` pour des références détaillées des fonctions" msgid "Browse the :doc:`gallery of examples ` for more use cases" msgstr "Parcourez la :doc:`galerie d'exemples ` pour plus de cas d'utilisation" Sigima-1.1.1/doc/locale/fr/LC_MESSAGES/user_guide/index.po000066400000000000000000000077311514013333200227300ustar00rootroot00000000000000# SOME DESCRIPTIVE TITLE. # Copyright (C) 2025, DataLab Platform Developers # This file is distributed under the same license as the Sigima package. # FIRST AUTHOR , 2025. # #, fuzzy msgid "" msgstr "" "Project-Id-Version: Sigima \n" "Report-Msgid-Bugs-To: \n" "PO-Revision-Date: YEAR-MO-DA HO:MI+ZONE\n" "Language: fr\n" "Language-Team: fr \n" "Plural-Forms: nplurals=2; plural=(n > 1);\n" "MIME-Version: 1.0\n" "Content-Type: text/plain; charset=utf-8\n" "Content-Transfer-Encoding: 8bit\n" "Generated-By: Babel 2.17.0\n" msgid "Contents:" msgstr "Table des matières :" msgid "User Guide" msgstr "Manuel utilisateur" msgid " Installation" msgstr "Installation" msgid "How to install Sigima" msgstr "Comment installer Sigima" msgid " Getting Started" msgstr "Premiers pas" msgid "Quick start with examples" msgstr "Démarrage rapide avec des exemples" msgid " Overview" msgstr "Vue d'ensemble" msgid "Introduction to Sigima" msgstr "Introduction à Sigima" msgid " Features" msgstr "Fonctionnalités" msgid "Key functionalities" msgstr "Fonctionnalités clés" Sigima-1.1.1/doc/locale/fr/LC_MESSAGES/user_guide/installation.po000066400000000000000000000273021514013333200243160ustar00rootroot00000000000000# SOME DESCRIPTIVE TITLE. # Copyright (C) 2025, DataLab Platform Developers # This file is distributed under the same license as the Sigima package. # FIRST AUTHOR , 2025. # #, fuzzy msgid "" msgstr "" "Project-Id-Version: Sigima \n" "Report-Msgid-Bugs-To: \n" "PO-Revision-Date: YEAR-MO-DA HO:MI+ZONE\n" "Language: fr\n" "Language-Team: fr \n" "Plural-Forms: nplurals=2; plural=(n > 1);\n" "MIME-Version: 1.0\n" "Content-Type: text/plain; charset=utf-8\n" "Content-Transfer-Encoding: 8bit\n" "Generated-By: Babel 2.17.0\n" msgid "Installation" msgstr "Installation" msgid "This section provides instructions on how to install and set up the Sigima project, including dependencies and environment configuration." msgstr "Cette section fournit des instructions sur la façon d'installer et de configurer le projet Sigima, y compris les dépendances et la configuration de l'environnement." msgid "How to install" msgstr "Modes d'installation" msgid "Sigima is available in several forms:" msgstr "Sigima est disponible sous plusieurs formes :" msgid "As a :ref:`install_conda`." msgstr "En tant que :ref:`install_conda`." msgid "As a Python package, which can be installed using the :ref:`install_pip`." msgstr "Un paquet Python qui peut être installé à l'aide du :ref:`install_pip`." msgid "As a precompiled :ref:`install_wheel`, which can be installed using ``pip``." msgstr "En tant que :ref:`install_wheel` précompilé, qui peut être installé à l'aide de ``pip``." msgid "As a :ref:`install_source`, which can be installed using ``pip`` or manually." msgstr "En tant que :ref:`install_source`, qui peut être installé à l'aide de ``pip`` ou manuellement." msgid "Impatient to try the next version of Sigima? You can also install the latest development version of Sigima from the master branch of the Git repository. See :ref:`install_development` for more information." msgstr "Impatient d'essayer la prochaine version de Sigima ? Vous pouvez également installer la dernière version de développement de Sigima depuis la branche principale du dépôt Git. Voir :ref:`install_development` pour plus d'informations." msgid "Conda package" msgstr "Paquet Conda" msgid ":octicon:`info;1em;sd-text-info` :bdg-info-line:`GNU/Linux` :bdg-info-line:`Windows` :bdg-info-line:`macOS`" msgstr "" msgid "To install ``sigima`` package from the `conda-forge` channel (https://anaconda.org/conda-forge/sigima), run the following command:" msgstr "Pour installer le paquet ``sigima`` depuis le canal ``conda-forge`` (https://anaconda.org/conda-forge/sigima), exécutez la commande suivante :" msgid "Package manager ``pip``" msgstr "Gestionnaire de paquets ``pip``" msgid "Sigima's package ``sigima`` is available on the Python Package Index (PyPI) on the following URL: https://pypi.python.org/pypi/sigima." msgstr "Le paquet ``sigima`` de Sigima est disponible sur l'index des paquets Python (PyPI) à l'adresse suivante : https://pypi.python.org/pypi/sigima." msgid "Installing Sigima from PyPI is as simple as running this command (you may need to use ``pip3`` instead of ``pip`` on some systems):" msgstr "L'installation de Sigima depuis PyPI est aussi simple que d'exécuter cette commande (vous devrez peut-être utiliser ``pip3`` au lieu de ``pip`` sur certains systèmes) :" msgid "If you already have a previous version of Sigima installed, you can upgrade it by running the same command with the ``--upgrade`` option:" msgstr "Si vous avez déjà une version précédente de Sigima installée, vous pouvez la mettre à niveau en exécutant la même commande avec l'option ``--upgrade`` :" msgid "Wheel package" msgstr "Paquet Wheel" msgid "On any operating system, using pip and the Wheel package is the easiest way to install sigima on an existing Python distribution:" msgstr "Sur n'importe quel système d'exploitation, l'utilisation de pip et du paquet Wheel est le moyen le plus simple d'installer sigima sur une distribution Python existante :" msgid "Source package" msgstr "Paquet source" msgid "Installing Sigima directly from the source package may be done using ``pip``:" msgstr "L'installation de Sigima directement à partir du paquet source peut se faire en utilisant ``pip`` :" msgid "Or, if you prefer, you can install it manually by running the following command from the root directory of the source package:" msgstr "Ou, si vous préférez, vous pouvez l'installer manuellement en exécutant la commande suivante depuis le répertoire racine du paquet source :" msgid "Finally, you can also build your own Wheel package and install it using ``pip``, by running the following command from the root directory of the source package (this requires the ``build`` and ``wheel`` packages to be installed):" msgstr "Enfin, vous pouvez également créer votre propre paquet Wheel et l'installer à l'aide de ``pip``, en exécutant la commande suivante depuis le répertoire racine du paquet source (cela nécessite que les paquets ``build`` et ``wheel`` soient installés) :" msgid "Development version" msgstr "Version de développement" msgid "If you want to try the latest development version of Sigima, you can install it directly from the master branch of the Git repository." msgstr "Si vous souhaitez essayer la dernière version de développement de Sigima, vous pouvez l'installer directement depuis la branche principale du dépôt Git." msgid "The first time you install Sigima from the Git repository, enter the following command:" msgstr "La première fois que vous installez Sigima depuis le dépôt Git, entrez la commande suivante :" msgid "Then, if at some point you want to upgrade to the latest version of Sigima, just run the same command with options to force the reinstall of the package without handling dependencies (because it would reinstall all dependencies):" msgstr "Ensuite, si à un moment donné vous souhaitez mettre à niveau vers la dernière version de Sigima, il suffit d'exécuter la même commande avec des options pour forcer la réinstallation du paquet sans gérer les dépendances (car cela réinstallerait toutes les dépendances) :" msgid "If dependencies have changed, you may need to execute the same command as above, but without the ``--no-deps`` option." msgstr "Si les dépendances ont changé, vous devrez peut-être exécuter la même commande que ci-dessus, mais sans l'option ``--no-deps``." msgid "Dependencies" msgstr "Dépendances" msgid "The `sigima` package requires the following Python modules:" msgstr "Le paquet `sigima` nécessite les modules Python suivants :" msgid "Name" msgstr "Nom" msgid "Version" msgstr "Version" msgid "Summary" msgstr "Description" msgid "Python" msgstr "Python" msgid ">=3.9, <4" msgstr "" msgid "Python programming language" msgstr "Langage de programmation Python" msgid "guidata" msgstr "" msgid ">= 3.13" msgstr "" msgid "Automatic GUI generation for easy dataset editing and display" msgstr "Génération automatique d'interfaces graphiques pour l'édition et l'affichage de jeux de données" msgid "NumPy" msgstr "" msgid ">= 1.22, < 2.5" msgstr "" msgid "Fundamental package for array computing in Python" msgstr "Paquet fondamental pour le calcul sur tableaux en Python" msgid "SciPy" msgstr "" msgid ">= 1.10.1, < 1.17" msgstr "" msgid "Fundamental algorithms for scientific computing in Python" msgstr "Algorithmes fondamentaux pour le calcul scientifique en Python" msgid "scikit-image" msgstr "" msgid ">= 0.19.2, < 0.27" msgstr "" msgid "Image processing in Python" msgstr "Traitement d'images en Python" msgid "pandas" msgstr "" msgid ">= 1.4, < 3.0" msgstr "" msgid "Powerful data structures for data analysis, time series, and statistics" msgstr "" msgid "PyWavelets" msgstr "" msgid ">= 1.2, < 2.0" msgstr "" msgid "PyWavelets, wavelet transform module" msgstr "PyWavelets, module de transformation en ondelettes" msgid "packaging" msgstr "" msgid ">= 21.3" msgstr "" msgid "Core utilities for Python packages" msgstr "" msgid "typing-extensions" msgstr "" msgid ">= 4.0" msgstr "" msgid "Backported and Experimental Type Hints for Python 3.9+" msgstr "" msgid "makefun" msgstr "" msgid ">= 1.13.1" msgstr "" msgid "Small library to dynamically create python functions." msgstr "" msgid "Optional modules for GUI support (Qt):" msgstr "Modules optionnels pour le support de l'interface graphique (Qt) :" msgid "qtpy" msgstr "" msgid "Provides an abstraction layer on top of the various Qt bindings (PyQt5/6 and PySide2/6)." msgstr "" msgid "PyQt5" msgstr "" msgid "Python bindings for the Qt cross platform application toolkit" msgstr "Bibliothèque d'interfaces graphiques Qt pour Python" msgid "plotpy" msgstr "" msgid "Curve and image plotting tools for Python/Qt applications" msgstr "Outils de tracé de courbes et d'images pour les applications Python/Qt" msgid "Optional modules for development:" msgstr "Modules optionnels pour le développement :" msgid "build" msgstr "" msgid "A simple, correct Python build frontend" msgstr "" msgid "babel" msgstr "" msgid "Internationalization utilities" msgstr "" msgid "ruff" msgstr "" msgid "An extremely fast Python linter and code formatter, written in Rust." msgstr "Analyseur de code et formateur Python extrêmement rapide, écrit en Rust." msgid "pylint" msgstr "" msgid "python code static checker" msgstr "Analyseur statique de code Python" msgid "Coverage" msgstr "" msgid "Code coverage measurement for Python" msgstr "Mesure de la couverture de code pour Python" msgid "pre-commit" msgstr "" msgid "A framework for managing and maintaining multi-language pre-commit hooks." msgstr "" msgid "Optional modules for building the documentation:" msgstr "Modules optionnels pour la génération de la documentation :" msgid "sphinx" msgstr "" msgid "Python documentation generator" msgstr "Générateur de documentation Python" msgid "sphinx-gallery" msgstr "" msgid "A Sphinx extension that builds an HTML gallery of examples from any set of Python scripts." msgstr "Une extension Sphinx qui crée une galerie HTML d'exemples à partir de n'importe quel ensemble de scripts Python." msgid "sphinx_intl" msgstr "" msgid "Sphinx utility that make it easy to translate and to apply translation." msgstr "Utilitaire pour la traduction de la documentation générée par Sphinx." msgid "myst_parser" msgstr "" msgid "An extended [CommonMark](https://spec.commonmark.org/) compliant parser," msgstr "Un parseur étendu compatible avec [CommonMark](https://spec.commonmark.org/)" msgid "myst-nb" msgstr "" msgid "A Jupyter Notebook Sphinx reader built on top of the MyST markdown parser." msgstr "" msgid "sphinx_design" msgstr "" msgid "A sphinx extension for designing beautiful, view size responsive web components." msgstr "Extension sphinx pour la conception de composants web réactifs." msgid "sphinx-copybutton" msgstr "" msgid "Add a copy button to each of your code cells." msgstr "Extension sphinx ajoutant un bouton de copie à chaque cellule de code." msgid "pydata-sphinx-theme" msgstr "" msgid "Bootstrap-based Sphinx theme from the PyData community" msgstr "Thème Bootstrap pour Sphinx de la communauté PyData" msgid "matplotlib" msgstr "" #, fuzzy msgid "Python plotting package" msgstr "Langage de programmation Python" msgid "opencv-python-headless" msgstr "" msgid ">= 4.8.1.78" msgstr "" msgid "Wrapper package for OpenCV python bindings." msgstr "Bibliothèque d'interfaces Python pour OpenCV." msgid "Optional modules for running test suite:" msgstr "Modules optionnels pour l'exécution de la suite de tests :" msgid "pytest" msgstr "" msgid "pytest: simple powerful testing with Python" msgstr "pytest : tests simples et puissants avec Python" msgid "pytest-xvfb" msgstr "" msgid "A pytest plugin to run Xvfb (or Xephyr/Xvnc) for tests." msgstr "Plugin pytest pour exécuter Xvfb (ou Xephyr/Xvnc) pour les tests." Sigima-1.1.1/doc/locale/fr/LC_MESSAGES/user_guide/overview.po000066400000000000000000000563321514013333200234700ustar00rootroot00000000000000# SOME DESCRIPTIVE TITLE. # Copyright (C) 2025, DataLab Platform Developers # This file is distributed under the same license as the Sigima package. # FIRST AUTHOR , 2025. # #, fuzzy msgid "" msgstr "" "Project-Id-Version: Sigima \n" "Report-Msgid-Bugs-To: \n" "PO-Revision-Date: YEAR-MO-DA HO:MI+ZONE\n" "Language: fr\n" "Language-Team: fr \n" "Plural-Forms: nplurals=2; plural=(n > 1);\n" "MIME-Version: 1.0\n" "Content-Type: text/plain; charset=utf-8\n" "Content-Transfer-Encoding: 8bit\n" "Generated-By: Babel 2.17.0\n" msgid "Overview" msgstr "Vue d'ensemble" msgid "What is Sigima?" msgstr "Qu'est-ce que Sigima ?" msgid "**Sigima** is an open-source Python library for scientific signal and image processing. It provides a unified, object-oriented approach to working with 1D signals and 2D images, combining the power of NumPy arrays with rich metadata and processing capabilities." msgstr "**Sigima** est une bibliothèque Python open-source pour le traitement scientifique de signaux et d'images. Elle fournit une approche unifiée et orientée objet pour travailler avec des signaux 1D et des images 2D, combinant la puissance des tableaux NumPy avec des métadonnées riches et des capacités de traitement." msgid "Sigima was created from the externalization of `DataLab `_'s computing engine and is now an essential building block of the DataLab ecosystem, but is designed to be GUI-independent (and independent of DataLab itself) and can be used in a variety of scientific computing contexts." msgstr "Sigima a été créé à partir de l'externalisation du moteur de calcul de `DataLab `_ et constitue maintenant un élément essentiel de l'écosystème DataLab, mais est conçu pour être indépendant de toute interface graphique (et indépendant de DataLab lui-même) et peut être utilisé dans une variété de contextes de calcul scientifique." msgid "Quick Start Example" msgstr "Exemple de démarrage rapide" msgid "Here's a simple example demonstrating image processing with Regions of Interest (ROIs) using Sigima. This example uses the matplotlib backend for visualization, making it web-friendly and easy to run in Jupyter notebooks." msgstr "Voici un exemple simple démontrant le traitement d'images avec des régions d'intérêt (ROI) en utilisant Sigima. Cet exemple utilise le backend matplotlib pour la visualisation, ce qui le rend adapté au web et facile à exécuter dans des notebooks Jupyter." msgid "See the complete interactive notebook in the :ref:`getting_started` section." msgstr "Voir le notebook interactif complet dans la section :ref:`getting_started`." msgid "Why Sigima?" msgstr "Pourquoi Sigima ?" msgid "Scientific data processing often requires more than just raw numerical arrays. Real-world applications demand:" msgstr "Le traitement de données scientifiques nécessite souvent plus que de simples tableaux numériques. Les applications réelles requièrent :" msgid "**Context-aware data**: physical units, coordinate systems, and measurement uncertainties" msgstr "**Données contextualisées** : unités physiques, systèmes de coordonnées et incertitudes de mesure" msgid "**Reproducible workflows**: clear separation between data and processing logic" msgstr "**Flux de travail reproductibles** : séparation claire entre les données et la logique de traitement" msgid "**Testable components**: modular functions that can be validated independently" msgstr "**Composants testables** : fonctions modulaires qui peuvent être validées indépendamment" msgid "**Flexible integration**: ability to work both with high-level objects and low-level arrays" msgstr "**Intégration flexible** : capacité de travailler à la fois avec des objets de haut niveau et des tableaux de bas niveau" msgid "Sigima addresses these needs by providing a structured framework that bridges the gap between raw numerical operations and scientific data analysis. It is designed to be the processing backend for scientific applications, particularly those requiring headless execution or remote processing capabilities." msgstr "Sigima répond à ces besoins en fournissant un cadre structuré qui comble le fossé entre les opérations numériques brutes et l'analyse de données scientifiques. Il est conçu pour être le moteur de traitement des applications scientifiques, en particulier celles nécessitant une exécution sans interface graphique ou des capacités de traitement à distance." msgid "Signals in Sigima" msgstr "Signaux dans Sigima" msgid "What are Signals?" msgstr "Qu'est-ce qu'un signal ?" msgid "In Sigima, a **signal** is a 1D data object represented by the :py:class:`~sigima.objects.signal.object.SignalObj` class. Unlike a simple NumPy array, a signal carries complete information about your measurement or calculation." msgstr "Dans Sigima, un **signal** est un objet de données 1D représenté par la classe :py:class:`~sigima.objects.signal.object.SignalObj`. Contrairement à un simple tableau NumPy, un signal contient l'ensemble des informations concernant votre mesure ou calcul." msgid "Core Components" msgstr "Composants principaux" msgid "A signal consists of:" msgstr "Un signal se compose de :" msgid "**X and Y Data**" msgstr "**Données X et Y**" msgid "The fundamental coordinate-value pairs that define your signal. The x-axis typically represents the independent variable (time, frequency, position, etc.) while the y-axis contains the measured or calculated values." msgstr "Les paires fondamentales coordonnée-valeur qui définissent votre signal. L'axe des x représente généralement la variable indépendante (temps, fréquence, position, etc.) tandis que l'axe des y contient les valeurs mesurées ou calculées." msgid "**Error Bars (dx, dy)**" msgstr "**Barres d'erreur (dx, dy)**" msgid "Sigima natively supports uncertainty quantification through optional error bars:" msgstr "Sigima prend en charge nativement la quantification de l'incertitude via des barres d'erreur optionnelles :" msgid "``dx``: uncertainties in the x-coordinate (e.g., timing jitter, position uncertainty)" msgstr "``dx`` : incertitudes sur la coordonnée x (par exemple, gigue temporelle, incertitude de position)" msgid "``dy``: uncertainties in the y-values (e.g., measurement noise, statistical errors)" msgstr "``dy`` : incertitudes sur les valeurs y (par exemple, bruit de mesure, erreurs statistiques)" msgid "These error bars propagate through many processing operations, allowing you to track how uncertainties evolve in your analysis pipeline." msgstr "Ces barres d'erreur se propagent à travers de nombreuses opérations de traitement, vous permettant de suivre l'évolution des incertitudes dans votre pipeline d'analyse." msgid "**Metadata**" msgstr "**Métadonnées**" msgid "A flexible dictionary for storing any additional information about your signal: acquisition parameters, processing history, physical constants, or any custom data your application needs." msgstr "Un dictionnaire flexible pour stocker toute information supplémentaire concernant votre signal : paramètres d'acquisition, historique de traitement, constantes physiques ou toute donnée personnalisée dont votre application a besoin." msgid "**Units and Labels**" msgstr "**Unités et étiquettes**" msgid "Clear labeling of physical quantities:" msgstr "Étiquetage clair des grandeurs physiques :" msgid "``xlabel`` / ``ylabel``: descriptive names (e.g., \"Time\", \"Temperature\")" msgstr "``xlabel`` / ``ylabel`` : noms descriptifs (par exemple, \"Temps\", \"Température\")" msgid "``xunit`` / ``yunit``: physical units (e.g., \"s\", \"°C\")" msgstr "``xunit`` / ``yunit`` : unités physiques (par exemple, \"s\", \"°C\")" msgid "**Annotations**" msgstr "**Annotations**" msgid "User-defined notes or comments about specific features or regions of the signal." msgstr "Notes ou commentaires définis par l'utilisateur concernant des caractéristiques ou régions spécifiques du signal." msgid "Why This Matters" msgstr "Pourquoi c'est important" msgid "Consider a temperature measurement over time. With a simple NumPy array, you just have numbers. With a Sigima signal, you have:" msgstr "Considérez une mesure de température au cours du temps. Avec un simple tableau NumPy, vous n'avez que des nombres. Avec un signal Sigima, vous avez :" msgid "This signal object can now be processed, analyzed, saved, and loaded while preserving all its context. When you apply operations like filtering, peak detection, or statistics, the units, labels, and error bars remain attached to your data." msgstr "Cet objet signal peut maintenant être traité, analysé, sauvegardé et chargé tout en préservant son contexte. Lorsque vous appliquez des opérations comme le filtrage, la détection de pics ou les statistiques, les unités, étiquettes et barres d'erreur restent attachées à vos données." msgid "Specialized Features" msgstr "Fonctionnalités spécialisées" msgid "Sigima signals support advanced use cases:" msgstr "Les signaux Sigima prennent en charge des cas d'usage avancés :" msgid "**Datetime Coordinates**" msgstr "**Coordonnées temporelles**" msgid "For time-series data, x-coordinates can represent actual datetime values, with automatic handling of time units and formatting." msgstr "Pour les données de séries temporelles, les coordonnées x peuvent représenter des valeurs de date/heure réelles, avec gestion automatique des unités de temps et du formatage." msgid "**ROI Operations**" msgstr "**Opérations ROI**" msgid "Define regions of interest (ROIs) to process or analyze specific portions of your signal independently." msgstr "Définissez des régions d'intérêt (ROI) pour traiter ou analyser des portions spécifiques de votre signal de manière indépendante." msgid "**Scale Management**" msgstr "**Gestion des échelles**" msgid "Control visualization aspects like logarithmic scales and axis bounds." msgstr "Contrôlez les aspects de visualisation comme les échelles logarithmiques et les limites d'axes." msgid "Images in Sigima" msgstr "Images dans Sigima" msgid "What are Images?" msgstr "Qu'est-ce qu'une image ?" msgid "An **image** in Sigima is a 2D data object represented by the :py:class:`~sigima.objects.image.object.ImageObj` class. Like signals, images extend beyond simple 2D NumPy arrays by providing comprehensive metadata and coordinate system support." msgstr "Une **image** dans Sigima est un objet de données 2D représenté par la classe :py:class:`~sigima.objects.image.object.ImageObj`. Comme les signaux, les images vont au-delà des simples tableaux NumPy 2D en fournissant des métadonnées complètes et un support de système de coordonnées." msgid "An image consists of:" msgstr "Une image se compose de :" msgid "**2D Data Array**" msgstr "**Tableau de données 2D**" msgid "The pixel values forming your image. Sigima supports various data types including unsigned integers (uint8, uint16), signed integers (int16, int32), floating-point (float32, float64), and complex numbers (complex128)." msgstr "Les valeurs de pixels formant votre image. Sigima prend en charge divers types de données incluant les entiers non signés (uint8, uint16), les entiers signés (int16, int32), les nombres à virgule flottante (float32, float64) et les nombres complexes (complex128)." msgid "**Coordinate Systems**" msgstr "**Systèmes de coordonnées**" msgid "Two types of coordinate systems are supported:" msgstr "Deux types de systèmes de coordonnées sont pris en charge :" msgid "**Uniform coordinates**: regular pixel spacing, common for most imaging systems" msgstr "**Coordonnées uniformes** : espacement de pixels régulier, courant pour la plupart des systèmes d'imagerie" msgid "``dx``, ``dy``: pixel spacing in physical units" msgstr "``dx``, ``dy`` : espacement des pixels en unités physiques" msgid "``x0``, ``y0``: origin coordinates" msgstr "``x0``, ``y0`` : coordonnées d'origine" msgid "**Non-uniform coordinates**: variable pixel spacing for adaptive sampling or irregular grids" msgstr "**Coordonnées non uniformes** : espacement de pixels variable pour l'échantillonnage adaptatif ou les grilles irrégulières" msgid "``xcoords``, ``ycoords``: explicit coordinate arrays" msgstr "``xcoords``, ``ycoords`` : tableaux de coordonnées explicites" msgid "Rich metadata support including:" msgstr "Support riche de métadonnées incluant :" msgid "DICOM template integration for medical imaging" msgstr "Intégration de modèles DICOM pour l'imagerie médicale" msgid "Custom key-value pairs for any application-specific data" msgstr "Paires clé-valeur personnalisées pour toute donnée spécifique à l'application" msgid "Automatic extraction from common file formats" msgstr "Extraction automatique depuis les formats de fichiers courants" msgid "Physical quantities for all three dimensions:" msgstr "Grandeurs physiques pour les trois dimensions :" msgid "``xlabel``, ``ylabel``, ``zlabel``: axis descriptions" msgstr "``xlabel``, ``ylabel``, ``zlabel`` : descriptions d'axes" msgid "``xunit``, ``yunit``, ``zunit``: physical units" msgstr "``xunit``, ``yunit``, ``zunit`` : unités physiques" msgid "The z-axis typically represents the pixel values (intensity, height, temperature, etc.)" msgstr "L'axe z représente généralement les valeurs de pixels (intensité, hauteur, température, etc.)" msgid "Structured annotations for documenting features, regions, or processing steps." msgstr "Annotations structurées pour documenter les caractéristiques, régions ou étapes de traitement." msgid "**Data Type Flexibility**" msgstr "**Flexibilité des types de données**" msgid "Unlike signals (which are typically float64), images support multiple data types optimized for different use cases:" msgstr "Contrairement aux signaux (qui sont généralement en float64), les images prennent en charge plusieurs types de données optimisés pour différents cas d'usage :" msgid "``uint8``, ``uint16``: efficient storage for camera data, medical images" msgstr "``uint8``, ``uint16`` : stockage efficace pour les données de caméras, images médicales" msgid "``int16``, ``int32``: signed data, difference images" msgstr "``int16``, ``int32`` : données signées, images de différence" msgid "``float32``, ``float64``: scientific measurements, calculated results" msgstr "``float32``, ``float64`` : mesures scientifiques, résultats calculés" msgid "``complex128``: Fourier transforms, wave simulations" msgstr "``complex128`` : transformées de Fourier, simulations d'ondes" msgid "Consider microscopy data. A raw 2D array gives you pixel values, but an ``ImageObj`` provides the complete picture:" msgstr "Considérez des données de microscopie. Un tableau 2D brut vous donne des valeurs de pixels, mais un ``ImageObj`` fournit l'image complète :" msgid "Processing operations automatically work in physical units. Measurements return results in micrometers, not pixels. The metadata travels with your data through the entire analysis pipeline." msgstr "Les opérations de traitement fonctionnent automatiquement en unités physiques. Les mesures retournent des résultats en micromètres, pas en pixels. Les métadonnées accompagnent vos données tout au long du pipeline d'analyse." msgid "**Native Support for Multiple Image Formats**" msgstr "**Support natif de multiples formats d'image**" msgid "Sigima can directly read and write images from various scientific and common file formats, making it easy to integrate into existing workflows:" msgstr "Sigima peut lire et écrire directement des images depuis divers formats de fichiers scientifiques et courants, facilitant l'intégration dans les flux de travail existants :" msgid "**Common formats**: BMP, JPEG, PNG, TIFF, JPEG 2000" msgstr "**Formats courants** : BMP, JPEG, PNG, TIFF, JPEG 2000" msgid "**Scientific formats**: DICOM (medical imaging), Andor SIF (spectroscopy cameras)" msgstr "**Formats scientifiques** : DICOM (imagerie médicale), Andor SIF (caméras de spectroscopie)" msgid "**Data exchange**: NumPy (.npy), MATLAB (.mat), HDF5 (.h5img)" msgstr "**Échange de données** : NumPy (.npy), MATLAB (.mat), HDF5 (.h5img)" msgid "**Text-based**: CSV, TXT, ASC (with coordinate metadata support)" msgstr "**Basés sur du texte** : CSV, TXT, ASC (avec support des métadonnées de coordonnées)" msgid "**Specialized**: Spiricon (.scor-data), Dürr NDT (.xyz), FT-Lab (.ima)" msgstr "**Spécialisés** : Spiricon (.scor-data), Dürr NDT (.xyz), FT-Lab (.ima)" msgid "Each format preserves relevant metadata when available, such as DICOM medical imaging headers or acquisition parameters from scientific instruments." msgstr "Chaque format préserve les métadonnées pertinentes lorsqu'elles sont disponibles, comme les en-têtes d'imagerie médicale DICOM ou les paramètres d'acquisition d'instruments scientifiques." msgid "Define rectangular, circular, or polygonal regions of interest for localized analysis or processing." msgstr "Définissez des régions d'intérêt rectangulaires, circulaires ou polygonales pour une analyse ou un traitement localisé." msgid "**Masked Arrays**" msgstr "**Tableaux masqués**" msgid "Support for NumPy masked arrays to handle invalid pixels, saturated regions, or excluded areas." msgstr "Support des tableaux masqués NumPy pour gérer les pixels invalides, les régions saturées ou les zones exclues." msgid "**Coordinate Conversion**" msgstr "**Conversion de coordonnées**" msgid "Seamless conversion between pixel indices and physical coordinates, essential for multi-scale or multi-modal imaging." msgstr "Conversion transparente entre les indices de pixels et les coordonnées physiques, essentielle pour l'imagerie multi-échelle ou multi-modale." msgid "Key Differences from Raw Arrays" msgstr "Différences clés par rapport aux tableaux bruts" msgid "Here's why Sigima objects are more powerful than plain NumPy arrays in physical data processing:" msgstr "Voici pourquoi les objets Sigima sont plus puissants que les simples tableaux NumPy pour le traitement de données physiques :" msgid "Feature" msgstr "Fonctionnalité" msgid "NumPy Array" msgstr "Tableau NumPy" msgid "Sigima Object" msgstr "Objet Sigima" msgid "Data storage" msgstr "Stockage de données" msgid "Numbers only" msgstr "Nombres uniquement" msgid "Numbers + context" msgstr "Nombres + contexte" msgid "Units" msgstr "Unités" msgid "Implicit/external" msgstr "Implicites/externes" msgid "Explicit and tracked" msgstr "Explicites et suivies" msgid "Error propagation" msgstr "Propagation d'erreur" msgid "Manual" msgstr "Manuelle" msgid "Automatic (where supported)" msgstr "Automatique (lorsque pris en charge)" msgid "Metadata" msgstr "Métadonnées" msgid "Separate variables" msgstr "Variables séparées" msgid "Integrated dictionary" msgstr "Dictionnaire intégré" msgid "Coordinate systems" msgstr "Systèmes de coordonnées" msgid "Index-based only" msgstr "Uniquement basé sur les indices" msgid "Physical coordinates" msgstr "Coordonnées physiques" msgid "Serialization" msgstr "Sérialisation" msgid "Just data" msgstr "Données seules" msgid "Complete context" msgstr "Contexte complet" msgid "Processing history" msgstr "Historique de traitement" msgid "Lost" msgstr "Perdu" msgid "Can be tracked" msgstr "Peut être suivi" msgid "Common Use Cases" msgstr "Cas d'usage courants" msgid "Sigima excels in scenarios requiring:" msgstr "Sigima excelle dans les scénarios nécessitant :" msgid "**Scientific Instrumentation**" msgstr "**Instrumentation scientifique**" msgid "Process data from sensors, cameras, spectrometers, or any measurement device while preserving calibration, units, and acquisition parameters." msgstr "Traitez les données de capteurs, caméras, spectromètres ou tout dispositif de mesure en préservant l'étalonnage, les unités et les paramètres d'acquisition." msgid "**Automated Analysis Pipelines**" msgstr "**Pipelines d'analyse automatisés**" msgid "Build reproducible workflows that maintain data provenance and context through multiple processing steps." msgstr "Construisez des flux de travail reproductibles qui maintiennent la provenance et le contexte des données à travers plusieurs étapes de traitement." msgid "**Remote Processing**" msgstr "**Traitement à distance**" msgid "Execute signal and image processing on remote servers or in cloud environments without GUI dependencies." msgstr "Exécutez le traitement de signaux et d'images sur des serveurs distants ou dans des environnements cloud sans dépendances d'interface graphique." msgid "**Application Backends**" msgstr "**Moteurs d'application**" msgid "Provide the computation engine for scientific software, keeping processing logic independent from user interface concerns." msgstr "Fournissez le moteur de calcul pour des logiciels scientifiques, en gardant la logique de traitement indépendante des préoccupations d'interface utilisateur." msgid "**Research and Development**" msgstr "**Recherche et développement**" msgid "Develop and validate new processing algorithms in a testable, modular framework." msgstr "Développez et validez de nouveaux algorithmes de traitement dans un cadre testable et modulaire." msgid "GUI Connection" msgstr "Connexion avec l'interface graphique" msgid "As the core computing engine externalized from `DataLab `_, Sigima seamlessly integrates with it as an essential building block of the DataLab stack. You can leverage Sigima's powerful processing features within DataLab's graphical interface, using for example Sigima to handle your signal and image acquisition and sending the results back to DataLab for visualization and further interactive analysis." msgstr "En tant que moteur de calcul principal externalisé de `DataLab `_, Sigima s'intègre parfaitement avec lui comme élément essentiel de la pile DataLab. Vous pouvez exploiter les puissantes fonctionnalités de traitement de Sigima au sein de l'interface graphique de DataLab, en utilisant par exemple Sigima pour gérer votre acquisition de signaux et d'images et en renvoyant les résultats vers DataLab pour la visualisation et l'analyse interactive approfondie." msgid "Getting Started" msgstr "Premiers pas" msgid "To start using Sigima, check out:" msgstr "Pour commencer à utiliser Sigima, consultez :" msgid ":doc:`installation` - Set up Sigima in your environment" msgstr ":doc:`installation` - Installez Sigima dans votre environnement" msgid ":doc:`features` - Explore Sigima's key features and capabilities" msgstr ":doc:`features` - Explorez les principales fonctionnalités et capacités de Sigima" msgid ":doc:`../auto_examples/index` - Practical examples showing signals and images in action" msgstr ":doc:`../auto_examples/index` - Exemples pratiques montrant les signaux et images en action" msgid ":doc:`../api/index` - Complete API reference" msgstr ":doc:`../api/index` - Référence API complète" msgid "Sigima is designed to be **GUI-independent**. If you need interactive visualization and analysis tools, check out `DataLab `_, which uses Sigima as its processing backend and adds a complete graphical interface." msgstr "Sigima est conçu pour être **indépendant de toute interface graphique**. Si vous avez besoin d'outils de visualisation et d'analyse interactifs, consultez `DataLab `_, qui utilise Sigima comme moteur de traitement et ajoute une interface graphique complète." Sigima-1.1.1/doc/release_notes/000077500000000000000000000000001514013333200163135ustar00rootroot00000000000000Sigima-1.1.1/doc/release_notes/index.rst000066400000000000000000000003711514013333200201550ustar00rootroot00000000000000Release notes ============= This section contains the release notes for all versions of :mod:`sigima`, documenting new features, improvements, bug fixes, and breaking changes. .. toctree:: :maxdepth: 1 :glob: :reversed: release_* Sigima-1.1.1/doc/release_notes/release_0.01.md000066400000000000000000000003171514013333200207140ustar00rootroot00000000000000# Version 0.1 # ## Sigima Version 0.1.0 (2025-07-06) ## This first version of the library is the result of the externalization of the signal and image processing features from the DataLab main repository. Sigima-1.1.1/doc/release_notes/release_0.02.md000066400000000000000000000005721514013333200207200ustar00rootroot00000000000000# Version 0.2 # ## Sigima Version 0.2.0 (2025-07-07) ## ⚠️ Major API changes: * Rename `sigima.computation` to `sigima.proc`. * Rename `sigima.algorithms` to `sigima.tools`. * Rename `sigima.obj` to `sigima.objects`. * Rename `sigima.param` to `sigima.params`. ℹ️ Various changes: * Add Sigima SVG logo. 🛠️ Bug fixes: * Fix API documentation and docstrings. Sigima-1.1.1/doc/release_notes/release_1.00.md000066400000000000000000001341201514013333200207140ustar00rootroot00000000000000# Version 1.0 # ## Sigima Version 1.0.6 ## 🛠️ Bug fixes: * **Compatibility with scikit-image 0.26.0+**: Fixed deprecation warnings and API compatibility issues * scikit-image 0.26.0 introduced breaking changes to `CircleModel` and `EllipseModel` APIs: old API used `model.estimate(contour)` + `model.params`, new API uses `model.from_estimate(contour)` + property-based access (`model.center`, `model.radius`, `model.axis_lengths`) * Added version-aware compatibility layer in `sigima.tools.image.preprocessing` with new helper functions `fit_circle_model()` and `fit_ellipse_model()` that handle both old and new APIs * Updated `get_contour_shapes()` in `sigima.tools.image.detection` to use compatibility functions * Updated `get_enclosing_circle()` in `sigima.tools.image.geometry` to use compatibility functions * Used `packaging.version.Version` for robust version checking instead of fragile string parsing * Eliminates deprecation warnings while maintaining backward compatibility with Python 3.9 and scikit-image < 0.26 * This closes [Issue #10](https://github.com/DataLab-Platform/Sigima/issues/10) - Sigima is not compatible with NumPy 2.4.0 and scikit-image 0.26.0 * **Compatibility with NumPy 2.4.0**: Fixed centroid computation failure with NumPy 2.4.0's new einsum optimization * NumPy 2.4.0 introduced new einsum optimization used by `scikit-image.measure.centroid()` that fails with certain ndarray types * Fixed by explicitly converting image data to basic NumPy array before calling `measure.centroid()` in `get_centroid_auto()` function * Ensures compatibility with NumPy 2.4.0+ and scikit-image 0.26.0+ without changing computational results 📦 Dependencies: * **Dependency version constraints**: Added maximum version constraints to prevent future compatibility issues * Updated dependency specifications: `NumPy >= 1.22, < 2.5`, `SciPy >= 1.10.1, < 1.17`, `scikit-image >= 0.19.2, < 0.27`, `pandas >= 1.4, < 3.0`, `PyWavelets >= 1.2, < 2.0` * New CI job `build_latest` runs scheduled tests against latest dependency versions to detect breaking changes early * Prevents automatic breakage from major dependency updates while allowing controlled upgrades after validation 🚀 CI/CD improvements: * **CI workflow enhancements**: Added automated testing against latest dependency versions * New `build_latest` job in GitHub Actions runs on schedule (weekly) and manual dispatch * Extracts dependency names from `pyproject.toml` and installs latest available versions * Provides early warning system for upcoming dependency compatibility issues * Enhanced workflow dispatch with configurable job selection for flexible testing scenarios ## Sigima Version 1.0.5 (2025-12-19) ## > ℹ️ This is a hotfix release addressing a packaging issue where French translations were missing from the previous release package. This release contains no functional changes compared to version 1.0.4 - it only ensures that the compiled translation files (.mo) are properly included in the distribution package. 🛠️ Bug fixes: * **Packaging**: Fixed missing French translation files in release package * Previous release packages were missing compiled .mo translation files, causing the application to display only English text regardless of locale settings * Updated build process to ensure all translation files are properly included in distribution packages * No functional code changes - this is purely a packaging fix to restore internationalization support ## Sigima Version 1.0.4 (2025-12-18) ## 🛠️ Bug fixes: * **Image processing: LUT range incorrectly copied to result**: Fixed processed images showing incorrect contrast because LUT range was copied from original * When processing an image (e.g., subtracting offset), the result image inherited the original's LUT range (`zscalemin`/`zscalemax`), causing incorrect visualization when data values changed significantly * Example: After subtracting ~50 lsb background from an image with LUT 50-200, the result (data range ~-5 to ~175) was still displayed with the original 50-200 LUT, making parts of the image appear clipped or invisible * Fixed by adding image-specific `dst_1_to_1`, `dst_2_to_1`, and `dst_n_to_1` wrapper functions in `sigima.proc.image.base` that reset the LUT range after copying the source image * The `ImageObj.copy()` method remains unchanged (a copy should faithfully copy all attributes) - the fix is applied at the processing layer where it belongs * Added regression test `test_image_offset_correction_lut_range` in `offset_correction_unit_test.py` * This closes [Issue #9](https://github.com/DataLab-Platform/Sigima/issues/9) - LUT range incorrectly copied when processing images * **Backwards-defined rectangular ROI causes NaN statistics**: Fixed rectangular ROI coordinate normalization when defined in reverse direction * When a rectangular ROI was drawn graphically "backwards" in DataLab (from bottom-right to top-left instead of top-left to bottom-right), statistics analysis returned NaN values * The `RectangularROI.rect_to_coords()` method was producing negative Δx and Δy values when `x1 < x0` or `y1 < y0` * Fixed by normalizing coordinates using min/max to ensure Δx and Δy are always positive * ROI mask generation now works correctly regardless of the direction in which the rectangle was drawn * Added regression test `test_backwards_drawn_rectangle` in `roi_coords_unit_test.py` * **Grid ROI - Missing spacing parameters for non-uniform grids**: Fixed grid ROI extraction to support non-uniform feature spacing * Grid ROI extraction previously assumed evenly distributed features (spacing = width/nx), which failed for images where features don't fill the entire grid area * Example: `laser_spot_array_raw.png` has laser spots spaced ~300 pixels apart, but the grid was defined over 3100×3100 pixels, causing incorrect ROI placement * Added `xstep` and `ystep` percentage parameters (1-200%, default 100%) to `ROIGridParam` to specify spacing between ROI centers * Updated `generate_image_grid_roi()` function to use separate step calculation: `dx_step = dx_cell * p.xstep / 100.0` * Position calculation now uses: `x0 = src.x0 + (ic + 0.5) * dx_step + xtrans - 0.5 * dx` (preserving backward compatibility) * Default values (100%) maintain exact original behavior for existing workflows * This allows precise ROI placement for gapped grids (e.g., laser spot arrays, sample arrays) by adjusting spacing independently of ROI size * **Signal result title formatting**: Fixed duplicate suffix in result titles for image-to-signal functions * When computing radial profile or other operations using `new_signal_result`, the suffix (e.g., center coordinates) was appearing twice in the title * Example: `radial_profile(i019)|center=(192.500, 192.500)|center=(192.500, 192.500)` instead of `radial_profile(i019)|center=(192.500, 192.500)` * The `new_signal_result` function in `sigima/proc/base.py` was adding the suffix twice: once via the formatter and once explicitly * Removed the redundant suffix addition - the formatter's `format_1_to_1_title` method already handles suffix formatting correctly * Affects functions like `radial_profile`, `histogram`, and other image-to-signal conversions * This closes [Issue #8](https://github.com/DataLab-Platform/Sigima/issues/8) - Duplicate suffix in result title when using `new_signal_result` * **HDF5 serialization with detection ROIs**: Fixed workspace save failure when images contain ROIs generated by blob detection * Saving DataLab workspace to HDF5 format failed with `NotImplementedError: cannot serialize 'rectangle' of type ` * The `store_roi_creation_metadata()` function was storing the `DetectionROIGeometry` enum directly in geometry attributes * Fixed by storing the enum's string value instead of the enum object itself * This allows proper HDF5 serialization while preserving the information needed for `apply_detection_rois()` to recreate ROIs * This closes [Issue #7](https://github.com/DataLab-Platform/Sigima/issues/7) - HDF5 Serialization Fails for Detection ROI Geometry Enum * **CSV numeric data import**: Fixed numeric columns being incorrectly interpreted as datetime values ([Issue #6](https://github.com/DataLab-Platform/Sigima/issues/6)) * When importing CSV files with large numeric values (e.g., frequencies in Hz like `4.884e+06`), the data was incorrectly converted to datetime timestamps * The `pd.to_datetime()` function was interpreting numeric values as nanoseconds since Unix epoch, corrupting the original data * Added check to skip columns with numeric dtypes in datetime detection - real datetime columns are loaded as string (`object`) dtype * Numeric data (frequencies, voltages, etc.) is now correctly preserved during CSV import 📚 Documentation: * **Parameter usage documentation**: Improved documentation for parameters requiring signal/image context ([Issue #5](https://github.com/DataLab-Platform/Sigima/issues/5)) * Added comprehensive documentation explaining the `update_from_obj()` pattern for parameters like `ZeroPadding1DParam` * Clarified that `sigima.params` is the recommended import location for all parameter classes * Enhanced `ZeroPadding1DParam` class docstring with usage example and "Important" admonition * Added new section in `sigima.params` module listing all parameters requiring `update_from_obj()` * Created new example `doc/examples/features/zero_padding.py` demonstrating proper parameter initialization * **New ROI grid example**: Added example demonstrating the grid ROI feature * Introduced `laser_spot_array.png` test image (6×6 laser spot array) to help debug an issue reported in DataLab * Created new example `doc/examples/features/roi_grid.py` showcasing the `generate_image_grid_roi()` function * Example covers: loading images, extracting sub-regions, generating ROI grids, configuring size/translation/step parameters, understanding direction labels, and extracting individual spots ## Sigima Version 1.0.3 (2025-12-03) ## 🛠️ Bug fixes: * **Signal data type validation**: Fixed integer arrays not being automatically converted to float64 * Integer input arrays are now automatically converted to float64 instead of raising errors * Validation applied consistently across all signal data setters: `set_xydata()`, `x`, `y`, `dx`, `dy` * Improves usability by accepting integer inputs (common in test data and calibration values) while maintaining computational precision * Raises clear `ValueError` for truly invalid dtypes with helpful error message listing valid types * **Signal axis calibration**: Added `replace_x_by_other_y()` function to replace signal X coordinates with Y values from another signal * Addresses missing functionality for wavelength calibration and similar use cases where calibration data is stored in a separate signal's Y values * This operation was previously impossible, even if the ambiguous X-Y mode feature existed and seemed related to this use case (but this feature performs resampling/interpolation, which is not desired here) * The new function directly uses Y arrays from both signals without interpolation, requiring signals to have the same number of points * Takes two signals: first provides Y data for output, second provides Y data to become X coordinates * Automatically transfers metadata: X label/unit from second signal's Y label/unit, Y label/unit preserved from first signal * Typical use case: spectroscopy wavelength calibration (combine absorption measurements with wavelength scale) * This closes [Issue #4](https://github.com/DataLab-Platform/Sigima/issues/4) - Missing functionality: Replace X coordinates with Y values from another signal for calibration * Signal title formatting: * **Polynomial signal titles**: Fixed polynomial signal title generation to display mathematical notation (e.g., `1+2x-3x²+4x³`) instead of verbose parameter listing (e.g., `polynomial(a0=1,a1=2,a2=-3,a3=4,a4=0,a5=0)`) * The `PolyParam.generate_title()` method now constructs proper mathematical expressions with correct sign handling, coefficient simplification (e.g., `x` instead of `1x`, `-x` instead of `-1x`), and exponent notation using `^` symbol * Improves readability in DataLab GUI and signal listings by presenting polynomials in standard mathematical form * Zero coefficients are automatically omitted from the expression (e.g., `1+x+x³` when a2=0) * Handles edge cases including all-zero polynomials (returns `"0"`), single terms, and negative coefficients * This closes [Issue #3](https://github.com/DataLab-Platform/Sigima/issues/3) - Polynomial signal titles should use mathematical notation instead of parameter listing * ROI data extraction: * Fixed `ValueError: zero-size array to reduction operation minimum which has no identity` error when computing statistics on images with ROI extending beyond canvas boundaries * The `ImageObj.get_data()` method now properly clips ROI bounding boxes to image boundaries * When a ROI is completely outside the image bounds, returns a fully masked 1x1 array (containing NaN) to avoid zero-size array errors in statistics computations * Partial overlap ROIs are correctly handled by clipping coordinates to valid image ranges * This fix ensures robust statistics computation regardless of ROI position relative to image boundaries * This closes [Issue #1](https://github.com/DataLab-Platform/Sigima/issues/1) - `ValueError` when computing statistics on ROI extending beyond image boundaries ## Sigima Version 1.0.2 (2025-11-12) ## ✨ New features and enhancements: * **New parametric image types**: Added five new parametric image generation types for testing and calibration * **Checkerboard pattern**: Alternating squares for camera calibration and spatial frequency analysis. Parameters include square size, offset, and min/max values * **Sinusoidal grating**: Frequency response testing with configurable spatial frequencies (fx, fy), phase, amplitude, and DC offset * **Ring pattern**: Concentric circular rings for radial analysis. Configurable period, width, center position, and amplitude range * **Siemens star**: Resolution testing pattern with radial spokes. Parameters include number of spokes, inner/outer radius, center position, and value range * **2D sinc function**: PSF/diffraction modeling with cardinal sine function. Configurable amplitude, center, scale factor (sigma), and DC offset * **GeometryResult.value property**: New convenience property for easy script access to computed geometry values * Supports POINT, MARKER, and SEGMENT shapes * Returns `(x, y)` tuple for POINT and MARKER shapes (both coordinates accessible) * Returns `float` length for SEGMENT shapes (calculated via `segments_lengths()`) * Return type annotation: `float | tuple[float, float]` * Provides intuitive API: unpack coordinates with `x, y = result.value` or get length with `length = result.value` * Comprehensive error handling for unsupported shapes and multi-row results * **Signal analysis functions return GeometryResult**: Changed `x_at_y()` and `y_at_x()` to return geometry results for better visualization * `x_at_y()` now returns `GeometryResult` with `MARKER` kind (previously returned `TableResult`) * `y_at_x()` now returns `GeometryResult` with `MARKER` kind (previously returned `TableResult`) * Both functions return coordinates as `[x, y]` in N×2 array format for cross marker display * Enables proper marker visualization in DataLab GUI (displayed as cross markers on plots) * Script-friendly API: use `.value` property to easily extract coordinates as `(x, y)` tuple * Example: `x, y = proxy.compute_x_at_y(params).value` provides direct access to both coordinates * Breaking change: Scripts accessing results as tables need to update to use `.value` property or `.coords` array 🛠️ Bug fixes: * Detection functions: * **Contour detection**: Removed ROI creation support from `ContourShapeParam` as it doesn't make sense for contour detection use cases. The `ContourShapeParam` class no longer inherits from `DetectionROIParam`, and the `contour_shape()` function no longer calls `store_roi_creation_metadata()`. ROI creation remains available for other detection methods (blob detection, 2D peak detection) where it is appropriate. * **ROI creation error handling**: Enhanced error handling in `create_image_roi_around_points()` function to provide clearer error messages: * Now raises `ValueError` when calculated ROI size is too small (points too close together) * Improved error messages to help users understand the cause of failures * Validates ROI geometry parameter more explicitly * Better handling of edge cases in automatic ROI sizing * Public API: * Made `BaseObj.roi_has_changed` method private (by renaming to `BaseObj.__roi_has_changed`) to avoid accidental external usage. This would interfere with the internal mask refresh mechanism that relies on controlled access to this method. The method is not part of the public API and should not be called directly by applications. ## Sigima Version 1.0.1 (2025-11-05) ## ✨ New features and enhancements: * **Detection ROI creation**: Generic mechanism for ROI creation across all detection functions * New `DetectionROIParam` parameter class providing standardized ROI creation fields * `create_rois`: Boolean flag to enable/disable ROI creation (default: False) * `roi_geometry`: Enum selecting ROI shape (RECTANGLE or CIRCLE, default: RECTANGLE) * New `DetectionROIGeometry` enum in `sigima.enums` with RECTANGLE and CIRCLE options * All detection parameter classes now inherit from `DetectionROIParam`: * `Peak2DDetectionParam`: 2D peak detection * `ContourShapeParam`: Contour shape fitting * `BlobDOGParam`, `BlobDOHParam`, `BlobLOGParam`, `BlobOpenCVParam`: Blob detection methods * `HoughCircleParam`: Hough circle detection * New `store_roi_creation_metadata()` helper function: * Stores ROI creation intent in `GeometryResult.attrs` dictionary * Called within computation functions to communicate ROI preferences * Does not violate function purity (no object modification) * New `apply_detection_rois()` helper function: * Creates ROIs on image objects based on `GeometryResult.attrs` metadata * Returns `True` if ROIs were created, `False` otherwise * Handles both rectangle and circle geometries * Automatically calculates optimal ROI size based on feature spacing * Can be called by applications outside computation functions * Metadata-based architecture maintains separation of concerns: * Computation functions remain pure (no side effects) * Applications control when/how ROIs are created * Works seamlessly with multiprocessing engines (e.g., DataLab processors) * Comprehensive test coverage with `validate_detection_rois()` helper in test suite * **Automatic `func_name` injection for result objects** * The `@computation_function` decorator now automatically injects the function name into `TableResult` and `GeometryResult` objects * When a computation function returns a result object with `func_name=None`, the decorator sets it to the function's name using `dataclasses.replace()` * Ensures systematic assignment of `func_name` for proper result tracking and display * Implementation uses direct `isinstance()` type checking for `TableResult` and `GeometryResult` * Applies to both main decorator wrapper (with DataSet parameters) and simple passthrough wrapper * Eliminates need for manual `func_name` assignment in computation functions * **Image ROI creation utility**: New `create_image_roi_around_points()` function in `sigima.objects.image.roi` * Creates rectangular or circular ROIs around a set of point coordinates * Automatically calculates optimal ROI size based on minimum distance between points * Handles boundary conditions to keep ROIs within valid image coordinates * Supports both "rectangle" and "circle" geometry types * Designed for creating ROIs around detected features (peaks, blobs, etc.) * Centralizes ROI creation logic previously duplicated across applications * **Annotations API**: New public API for managing annotations on Signal and Image objects * Added `get_annotations()` method: Returns a list of annotations in versioned JSON format * Added `set_annotations(annotations)` method: Sets annotations from a list (replaces existing annotations) * Added `add_annotation(annotation)` method: Adds a single annotation to the object * Added `clear_annotations()` method: Removes all annotations from the object * Added `has_annotations()` method: Returns True if the object has any annotations * Annotations are stored in object metadata with versioning support (currently version "1.0") * Each annotation is a dictionary with keys such as `type`, `item_class`, and `item_json` (for example) * Provides clean separation between generic annotation storage and visualization-specific details * Enables applications to manage plot annotations (shapes, labels, etc.) independently of ROIs * Fully compatible with DataLab's PlotPy adapter pattern for visualization 🛠️ Bug fixes: * **2D peak detection**: Fixed architectural violation in `peak_detection()` computation function * Removed direct ROI creation from computation function (was modifying input objects) * Computation functions decorated with `@computation_function()` must be pure (no side effects) * Removed line 128: `obj.roi = create_image_roi(...)` which violated this principle * ROI creation now handled by applications in their presentation layer * DataLab uses new `create_image_roi_around_points()` utility for this purpose * Maintains separation of concerns: Sigima computes results, applications create visual representations * Fixes regression where ROIs were not appearing in DataLab's processor-based workflow * **Parameter classes**: Removed default titles from generic `OrdinateParam` and `AbscissaParam` classes * These parameter classes are reused across multiple computation functions (e.g., `full_width_at_y`, `x_at_y`) * Default titles like "Ordinate" created redundancy when displayed with function names in analysis results * Titles are now empty by default, allowing applications to provide context-specific titles when needed * Improves clarity when the same parameter class is used by different functions * **Result HTML representation**: Improved color contrast for dark mode * Changed result title color in `to_html()` methods from standard blue (#0000FF) to a lighter shade (#5294e2) * Affects TableResult and GeometryResult HTML output * Provides better visibility in dark mode while maintaining good appearance in light mode * Improves readability when results are displayed in applications with dark themes * Fixed pulse features extraction with ROI signals. When extracting pulse features from signals with ROIs, the start/end range parameters (which apply to the full signal) were being used on ROI-extracted data, causing incorrect results. Now `extract_pulse_features()` detects when the parameter ranges are outside the ROI's x-range and automatically switches to auto-detection mode. Additionally, `extract_pulse_features()` in `sigima.tools.signal.pulse` now properly initializes `None` ranges using `get_start_range()` and `get_end_range()` with the `fraction` parameter. This ensures pulse features extracted from a signal with ROIs match the features extracted from individually extracted ROI signals. * Fixed ROI extraction for signals: ROIs are no longer incorrectly copied to destination signals when extracting ROIs. When using `extract_roi()` or `extract_rois()`, the extracted signals now have no ROI defined, which is the expected behavior since the extracted data already represents the ROI itself. This fixes the issue where extracted signals would inherit the source signal's ROI definitions. * Fixed pulse features computation to be ROI-exclusive when ROIs are defined. Previously, `TableKind.PULSE_FEATURES` incorrectly computed results for both the whole object and each ROI. This made no sense for pulse analysis, where defining ROIs indicates the presence of multiple pulses, making whole-object features irrelevant. Now `PULSE_FEATURES` correctly computes only on ROIs when they exist, otherwise on the whole object. `TableKind.STATISTICS` and `TableKind.CUSTOM` maintain the expected behavior (whole object + ROIs). * Fixed `ValueError` in `choose_savgol_window_auto()` when processing small data arrays (e.g., ROI segments). The function now properly constrains the Savitzky-Golay window length to be strictly less than the array size, as required by scipy's `mode='interp'` option. This fixes the issue when extracting pulse features from small ROI segments in signals. * Modified `RadialProfileParam` to allow initialization of the dataset even when the associated image object is not yet set (call to `update_from_obj`). This is useful when creating the parameter object before assigning the image, enabling more flexible workflows. * Removed unused `signals_to_array()` function from `sigima.proc.signal.arithmetic` module. This function was not used anywhere in the codebase and has been replaced by direct NumPy array construction in `__signals_y_to_array()` and `__signals_dy_to_array()` functions, for internal use only. * **ROI coordinate setters**: Fixed bugs in `set_physical_coords()` and `set_indices_coords()` methods * Fixed `RectangularROI.set_physical_coords()`: Now correctly stores coordinates in delta format `[x0, y0, dx, dy]` instead of corner format `[x0, y0, x1, y1]` when `indices=True` * Fixed `BaseSingleROI.set_indices_coords()`: Now correctly converts the input `coords` parameter instead of `self.coords` when `indices=False` * These methods were implemented for API completeness but were not used in the Sigima/DataLab codebase * Added comprehensive unit tests covering all ROI types (rectangular, circular, polygonal) and edge cases ## Sigima Version 1.0.0 (2025-10-28) ## ✨ New features and enhancements: * **Signals to image conversion**: New feature to combine multiple signals into a 2D image * New computation function `signals_to_image()` in `sigima.proc.signal.arithmetic` * Takes a list of signals and combines them into an image by stacking Y-arrays * Two orientation modes: * **Rows**: Each signal becomes a row in the image (default) * **Columns**: Each signal becomes a column in the image * Optional normalization: * Supports multiple normalization methods (Z-score, Min-Max, Maximum) * Normalizes each signal independently before stacking * Useful for visualizing signals with different amplitude ranges * Validates that all signals have the same size before combining * New parameter class `SignalsToImageParam` with orientation and normalization settings * New enum `SignalsToImageOrientation` for specifying row/column orientation * Comprehensive validation tests for all combinations of parameters * Ideal for creating spectrograms, heatmaps, or waterfall displays from signal collections * **Non-uniform coordinate support for images**: Added comprehensive support for non-uniform pixel coordinates * `ImageObj` now supports both uniform and non-uniform coordinate systems: * Uniform coordinates: defined by origin (`x0`, `y0`) and pixel spacing (`dx`, `dy`) * Non-uniform coordinates: defined by coordinate arrays (`xcoords`, `ycoords`) * New methods for coordinate manipulation: * `set_coords()`: Set non-uniform X and Y coordinate arrays * `is_uniform_coords`: Property to check if coordinates are uniform * New computation function `set_uniform_coords()`: Convert non-uniform to uniform coordinates * Automatically extracts uniform spacing from non-uniform arrays * Handles numerical precision issues from linspace-generated arrays * Preserves image data while transforming coordinate system * Enhanced `calibration()` function with polynomial support: * Now supports polynomial calibration up to cubic order: `dst = a0 + a1*src + a2*src² + a3*src³` * Parameter class changed from `a, b` (linear) to `a0, a1, a2, a3` (polynomial) * Works on X-axis, Y-axis (creating non-uniform coordinates), and Z-axis (data values) * Linear calibration is a special case with `a2=0, a3=0` * Automatically handles conversion between uniform and non-uniform coordinate systems * Enhanced I/O support: * HDF5 format now serializes/deserializes non-uniform coordinates * Coordinated text files support non-uniform coordinate arrays * All geometric operations updated to handle both coordinate types: * Coordinate transformations preserve or create appropriate coordinate system * ROI operations work seamlessly with both uniform and non-uniform coordinates * **DateTime support for signal data**: Added comprehensive datetime handling for signal X-axis data * Automatic detection and conversion of datetime columns when reading CSV files * Detects datetime values in the first or second column (handling index columns) * Validates datetime format and ensures reasonable date ranges (post-1900) * Converts datetime strings to float timestamps for efficient computation * Preserves datetime metadata for proper display and export * New `SignalObj` methods for datetime manipulation: * `set_x_from_datetime()`: Convert datetime objects/strings to signal X data with configurable time units (s, ms, μs, ns, min, h) * `get_x_as_datetime()`: Retrieve X values as datetime objects for display or export * `is_x_datetime()`: Check if signal contains datetime data * Enhanced CSV export to preserve datetime format when writing signals with datetime X-axis * New constants module (`sigima.objects.signal.constants`) defining datetime metadata keys and time unit conversion factors * Comprehensive unit tests covering datetime conversion, I/O roundtrip, and edge cases * Example test data file with real-world temperature/humidity logger data (`datetime.txt`) * **New client subpackage**: Migrated DataLab client functionality to `sigima.client` * Added `sigima.client.remote.SimpleRemoteProxy` for XML-RPC communication with DataLab * Added `sigima.client.base.SimpleBaseProxy` as abstract base class for DataLab proxies * Included comprehensive unit tests and API documentation * Maintains headless design principle (GUI components excluded) * Enables remote control of DataLab application from Python scripts and Jupyter notebooks * Client functionality is now directly accessible: `from sigima import SimpleRemoteProxy` * **New image ROI feature**: Added inverse ROI functionality for image ROIs * Added `inside` parameter to `BaseSingleImageROI` base class, inherited by all image ROI types (`PolygonalROI`, `RectangularROI`, `CircularROI`) * When `inside=True`, ROI represents the region inside the shape (inverted behavior) * When `inside=False` (default), ROI represents the region outside the shape (original behavior) * Fully integrated with serialization (`to_dict`/`from_dict`) and parameter conversion (`to_param`/`from_param`) * Signal ROIs (`SegmentROI`) are unaffected as the concept doesn't apply to 1D intervals * Optimal architecture with zero code duplication - all `inside` functionality implemented once in the base class * Individual ROI classes no longer need custom constructors, inheriting directly from base class * New image operation: * Convolution. * New image format support: * **Coordinated text image files**: Added support for reading coordinated text files (`.txt` extension), similar to the Matris image format. * Supports both real and complex-valued image data with optional error images. * Automatically handles NaN values in the data. * Reads metadata including units (X, Y, Z) and labels from file headers. * New image analysis features: * Horizontal and vertical projections * Compute the horizontal projection profile by summing values along the y-axis (`sigima.proc.image.measurement.horizontal_projection`). * Compute the vertical projection profile by summing values along the x-axis (`sigima.proc.image.measurement.vertical_projection`). * **New curve fitting algorithms**: Complete curve fitting framework with `sigima.tools.signal.fitting` module: * **Core fitting functions**: Comprehensive set of curve fitting algorithms for scientific data analysis: * `linear_fit`: Linear regression fitting * `polynomial_fit`: Polynomial fitting with configurable degree * `gaussian_fit`: Gaussian profile fitting for peak analysis * `lorentzian_fit`: Lorentzian profile fitting for spectroscopy * `voigt_fit`: Voigt profile fitting (convolution of Gaussian and Lorentzian profiles) * `exponential_fit`: Single exponential fitting with overflow protection * `piecewiseexponential_fit`: Piecewise exponential (raise-decay) fitting with advanced parameter estimation * `planckian_fit`: Planckian (blackbody radiation) fitting with correct physics implementation * `twohalfgaussian_fit`: Asymmetric peak fitting with separate left/right parameters * `multilorentzian_fit`: Multi-peak Lorentzian fitting for complex spectra * `sinusoidal_fit`: Sinusoidal fitting with FFT-based frequency estimation * `cdf_fit`: Cumulative Distribution Function fitting using error function * `sigmoid_fit`: Sigmoid (logistic) function fitting for S-shaped curves * **Advanced piecewise exponential (raise-decay) fitting**: Enhanced algorithm with: * Standard piecewise exponential model: `y = a_left*exp(b_left*x) + a_right*exp(b_right*x) + y0` * Multi-start optimization strategy for robust convergence to global minimum * Support for both positive and negative exponential rates (growth and decay components) * Comprehensive parameter bounds validation to prevent optimization errors * **Enhanced asymmetric peak fitting**: Advanced `twohalfgaussian_fit` with: * Separate baseline offsets for left and right sides (`y0_left`, `y0_right`) * Independent amplitude parameters (`amp_left`, `amp_right`) for better asymmetric modeling * Robust baseline estimation using percentile-based methods * **Technical features**: All fitting functions include: * Automatic initial parameter estimation from data characteristics * Proper bounds enforcement ensuring optimization stability * Comprehensive error handling and parameter validation * Consistent dataclass-based parameter structures * Full test coverage with synthetic and experimental data validation * New common signal/image feature: * Added `phase` (argument) feature to extract the phase information from complex signals or images. * Added operation to create complex-valued signal/image from real and imaginary parts. * Added operation to create complex-valued signal/image from magnitude and phase. * Standard deviation of the selected signals or images (this complements the "Average" feature). * Generate new signal or image: Poisson noise. * Add noise to the selected signals or images. * Gaussian, Poisson or uniform noise can be added. * New utility functions to generate file basenames. * Deconvolution in the frequency domain. * New ROI features: * Improved single ROI title handling, using default title based on the index of the ROI when no title is provided. * Added `combine_with` method to ROI objects (`SignalROI` and `ImageROI`) to return a new ROI that combines the current ROI with another one (union) and handling duplicate ROIs. * Image ROI transformations: * Before this change, image ROI were removed after applying each single computation function. * Now, the geometry computation functions preserve the ROI information across transformations: the transformed ROIs are automatically updated in the image object. * Image ROI coordinates: * Before this change, image ROI coordinates were defined using indices by default. * Now, `ROI2DParam` uses physical coordinates by default. * Note that ROI may still be defined using indices instead (using `create_image_roi` function). * Image ROI grid: * New `generate_image_grid_roi` function: create a grid of ROIs from an image, with customizable parameters for grid size, spacing, and naming. * This function allows for easy extraction of multiple ROIs from an image in a structured manner. * Parameters are handled via the `ROIGridParam` class, which provides a convenient way to specify grid properties: * `nx` / `ny`: Number of grid cells in the X/Y direction. * `xsize` / `ysize`: Size of each grid cell in pixels. * `xtranslation` / `ytranslation`: Translation of the grid in pixels. * `xdirection` / `ydirection`: Direction of the grid (increasing/decreasing). * New image processing features: * New "2D resampling" feature: * This feature allows to resample 2D images to a new coordinate grid using interpolation. * It supports two resampling modes: pixel size and output shape. * Multiple interpolation methods are available: linear, cubic, and nearest neighbor. * The `fill_value` parameter controls how out-of-bounds pixels are handled, with support for numeric values or NaN. * Automatic data type conversion ensures proper NaN handling for integer images. * It is implemented in the `sigima.proc.image.resampling` function with parameters defined in `Resampling2DParam`. * New "Frequency domain Gaussian filter" feature: * This feature allows to filter an image in the frequency domain using a Gaussian filter. * It is implemented in the `sigima.proc.image.frequency_domain_gaussian_filter` function. * New "Erase" feature: * This feature allows to erase an area of the image using the mean value of the image. * It is implemented in the `sigima.proc.image.erase` function. * The erased area is defined by a region of interest (ROI) parameter set. * Example usage: ```python import numpy as np import sigima.objects as sio import sigima.proc.image as sipi obj = sio.create_image("test_image", data=np.random.rand(1024, 1024)) p = sio.ROI2DParam.create(x0=600, y0=800, width=300, height=200) dst = sipi.erase(obj, p) ``` * By default, pixel binning changes the pixel size. * Improved centroid estimation: * New `get_centroid_auto` method implements an adaptive strategy that chooses between the Fourier-based centroid and a more robust fallback (scikit-image), based on agreement with a projected profile-based reference. * Introduced `get_projected_profile_centroid` function for robust estimation via 1D projections (median or barycentric), offering high accuracy even with truncated or noisy images. * These changes improve centroid accuracy and stability in edge cases (e.g. truncated disks or off-center spots), while preserving noise robustness. * See [DataLab issue #251](https://github.com/DataLab-Platform/DataLab/issues/251) for more details. * New signal processing features: * New "Brick wall filter" feature: * This feature allows to filter a signal in the frequency domain using an ideal ("brick wall") filter. * It is implemented in `sigima.proc.signal.frequency_filter`, along the other frequency domain filtering features (`Bessel`, `Butterworth`, etc.). * Enhanced zero padding to support prepend and append. Change default strategy to next power of 2. * **Pulse analysis algorithms**: Comprehensive pulse feature extraction framework in `sigima.tools.signal.pulse` module: * **Core pulse analysis functions**: Complete set of algorithms for step and square pulse characterization: * `extract_pulse_features`: Main function for automated pulse feature extraction * `heuristically_recognize_shape`: Intelligent signal type detection (step, square, or other) * `detect_polarity`: Robust polarity detection using baseline analysis * **Advanced timing parameter extraction**: Precise measurement algorithms for: * Rise and fall time calculations with configurable start/stop ratios (e.g., 10%-90%) * Timing parameters at specific fractions (x10, x50, x90, x100) of signal amplitude * Full width at half maximum (FWHM) computation for square pulses * Foot duration measurement for pulse characterization * **Baseline analysis capabilities**: Statistical methods for: * Automatic baseline range detection from signal extremes * Robust baseline level estimation using mean values within ranges * Start and end baseline characterization for differential analysis * **Signal validation and error handling**: Comprehensive input validation with: * Data array consistency checks and NaN/infinity detection * Signal length validation and range boundary verification * Graceful error handling with descriptive exception messages * **PulseFeatures dataclass**: Structured result container with all extracted parameters: * Amplitude, polarity, and offset measurements * Timing parameters (rise_time, fall_time, fwhm, x10, x50, x90, x100) * Baseline ranges (xstartmin, xstartmax, xendmin, xendmax) * Signal shape classification and foot duration * Implementation leverages robust statistical methods and provides both high-level convenience functions and low-level building blocks for custom pulse analysis workflows. * Comprehensive uncertainty propagation implementation: * Added mathematically correct uncertainty propagation to ~15 core signal processing functions. * Enhanced `Wrap1to1Func` class to handle uncertainty propagation for mathematical functions (`sqrt`, `log10`, `exp`, `clip`, `absolute`, `real`, `imag`). * Implemented uncertainty propagation for arithmetic operations (`product_constant`, `division_constant`). * Added uncertainty propagation for advanced processing functions (`power`, `normalize`, `derivative`, `integral`, `calibration`). * All implementations use proper error propagation formulas with numerical stability handling (NaN/infinity protection). * Optimized for memory efficiency by leveraging `dst_1_to_1` automatic uncertainty copying and in-place modifications. * Maintains backward compatibility with existing signal processing workflows. * New 2D ramp image generator: * This feature allows to generate a 2D ramp image: z = a(x − x₀) + b(y − y₀) + c * It is implemented in the `sigima.objects.Ramp2DParam` parameter class. * Example usage: ```python import sigima.objects as sio param = sio.Ramp2DParam.create(width=100, height=100, a=1.0, b=2.0) image = sio.create_image_from_param(param) ``` * New signal generators: linear chirp, logistic function, Planck function. * New image "Extent" computed parameters: * Added computed parameters for image extent: `xmin`, `xmax`, `ymin`, and `ymax`. * These parameters are automatically calculated based on the image origin, pixel spacing, and dimensions. * They provide the physical coordinate boundaries of the image for enhanced spatial analysis. * New I/O features: * Added HDF5 format for signal and image objects (extensions `.h5sig` and `.h5ima`) that may be opened with any HDF5 viewer. * Added support for MCA (Multi-Channel Analyzer) spectrum file format: * Reading MCA files (`.mca` extension) commonly used in spectroscopy and radiation detection * Automatically extracts spectrum data and calibration information * Supports energy calibration with interpolation for accurate X-axis values * Parses metadata from multiple sections (PMCA SPECTRUM, DPP STATUS, CALIBRATION) * Handles various encoding formats (UTF-8, Latin-1, CP1252) for maximum compatibility * Added support for FT-Lab signal and image format. * Added functions to read and write metadata and ROIs in JSON format: * `sigima.io.read_metadata` and `sigima.io.write_metadata` for metadata. * `sigima.io.read_roi` and `sigima.io.write_roi` for ROIs. * Added convenience I/O functions `write_signals` and `write_images` with `SaveToDirectoryParam` support: * These functions enable batch saving of multiple signal or image objects to a directory with configurable naming patterns. * `SaveToDirectoryParam` provides control over file basenames (with Python format string support), extensions, directory paths, and overwrite behavior. * Automatic filename conflict resolution ensures unique filenames when duplicates would occur. * Enhanced workflow efficiency for processing and saving multiple objects in batch operations. ✨ Core architecture update: scalar result types * Introduced two new immutable result types: `TableResult` and `GeometryResult`, replacing the legacy `ResultProperties` and `ResultShape` objects. * These new result types are computation-oriented and free of application-specific logic (e.g., Qt, metadata), enabling better separation of concerns and future reuse. * Added a `TableResultBuilder` utility to incrementally define tabular computations (e.g., statistics on signals or images) and generate a `TableResult` object. * All metadata-related behaviors of former result types have been migrated to the DataLab application layer. * Removed obsolete or tightly coupled features such as `from_metadata_entry()` and `transform_shapes()` from the Sigima core. * This refactoring greatly improves modularity, testability, and the clarity of the scalar computation API. 🛠️ Bug fixes: * Fix how data is managed in signal objects (`SignalObj`): * Signal data is stored internally as a 2D array with shape `(2, n)`, where the first row is the x data and the second row is the y data: that is the `xydata` attribute. * Because of this, when storing complex Y data, the data type is propagated to the x data, which is not always desired. * As a workaround, the `x` property now returns the real part of the x data. * Furthermore, the `get_data` method now returns a tuple of numpy arrays instead of a single array, allowing to access both x and y data separately, keeping the original data type. * Fix ROI conversion between physical and indices coordinates: * The conversion between physical coordinates and indices has been corrected (half pixel error was removed). * The `indices_to_physical` and `physical_to_indices` methods now raise a `ValueError` if the input does not contain an even number of elements (x, y pairs). 🔒 Security fixes: * **Dependency vulnerability fix**: Fixed CVE-2023-4863 vulnerability in opencv-python-headless * Updated minimum requirement from 4.5.4.60 to 4.8.1.78 * Addresses libwebp binaries vulnerability in bundled OpenCV wheels * See [DataLab security advisory](https://github.com/DataLab-Platform/DataLab/security/dependabot/1) for details Sigima-1.1.1/doc/release_notes/release_1.01.md000066400000000000000000000052461514013333200207230ustar00rootroot00000000000000# Version 1.1 # ## Sigima Version 1.1.1 (2026-02-02) ## ### 🛠️ Bug Fixes since version 1.1.0 ### * **Stub server**: Added missing Web API control methods to `DataLabStubServer` for testing DataLab's REST API integration * Added `start_webapi_server()` stub (returns dummy URL and token) * Added `stop_webapi_server()` stub * Added `get_webapi_status()` stub (returns server status dictionary) ### 🔧 Other changes ### * Updated development status classifier to "Production/Stable" * Added "Try it Online" section with [notebook.link](https://notebook.link/) integration in documentation ## Sigima Version 1.1.0 (2026-01-31) ## ✨ New features and enhancements: * **Stub server**: Added missing methods to `DataLabStubServer` to support new DataLab features * Added `remove_object()` method (removes an object from DataLab) * Added `call_method()` method (simulates calling a method on DataLab's main interface or panels) * **Test infrastructure**: Refactored visualization code in test suite for better maintainability * Centralized PlotPy visualization utilities in `sigima.viz` module * Added standardized helper functions: `create_curve()`, `create_image()`, `create_circle()`, `create_segment()`, `create_cursor()`, `create_marker()`, and `create_contour_shapes()` * Updated all interactive test functions to use the new unified API instead of direct PlotPy builder calls * Improved code consistency across signal and image test modules * **Visualization backend flexibility**: Added support for Matplotlib as an alternative to PlotPy for test visualizations * New configuration option `viz_backend` to select visualization library ("auto", "plotpy", or "matplotlib") * Environment variable `SIGIMA_VIZ_BACKEND` can override configuration * Automatic fallback from PlotPy to Matplotlib when PlotPy is not available * Backend information exposed via `sigima.viz.BACKEND_NAME` and `BACKEND_SOURCE` * Matplotlib backend provides stubs for unsupported functions (raises `NotImplementedError`) * Unit test ensures API compatibility between backends * **Jupyter notebook HTML representation**: Added rich HTML display for Sigima objects in Jupyter notebooks * `SignalObj` displays shape, dtype, X/Y ranges, axis labels, and title in a formatted table * `ImageObj` displays shape, dtype, value range, origin, pixel spacing, extent, axis labels, and title * ROI objects (`BaseSingleROI`, `BaseROI`) display their geometric properties * `BaseCoordinates` and derived classes display point coordinates * `TableResult` and `GeometryResult` display result data with source object information * Centralized CSS styling in `HTML_TABLE_CSS` constant for consistent appearance Sigima-1.1.1/doc/remote_example.ipynb000066400000000000000000000071631514013333200175430ustar00rootroot00000000000000{ "cells": [ { "cell_type": "markdown", "id": "76b9af91-1233-485b-a616-826a8ccfcbc8", "metadata": {}, "source": [ "DataLab remote control example\n", "==============================\n", "\n", "Example of remote control of DataLab current session, from a simple notebook, using the `SimpleRemoteProxy` class provided in the `sigima.client` module.\n", "\n", "The only requirement is to install the *Sigima* package (using `pip install sigima`, for example)." ] }, { "cell_type": "code", "execution_count": null, "id": "47c889ba-ca07-46dd-bec0-b08d67bd1eb2", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "from sigima.client import SimpleRemoteProxy\n", "proxy = SimpleRemoteProxy()" ] }, { "cell_type": "markdown", "id": "721d52f6-2df8-4559-89d2-f7088a5e2ee2", "metadata": {}, "source": [ "Connecting to DataLab current session:" ] }, { "cell_type": "code", "execution_count": 20, "id": "1de8616a-619c-4d5b-869f-fb41cf72b7cf", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Connecting to DataLab XML-RPC server...OK (port: 62547)\n" ] } ], "source": [ "proxy.connect()" ] }, { "cell_type": "markdown", "id": "9246a105-d73d-4ba3-81e1-4fadd042a4c6", "metadata": {}, "source": [ "Executing commands in DataLab:" ] }, { "cell_type": "code", "execution_count": 21, "id": "ccdddb07-cc54-42dd-b744-751516ae73d9", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "z = np.random.rand(20, 20)\n", "proxy.add_image(\"toto\", z)" ] }, { "cell_type": "code", "execution_count": 22, "id": "7216fc12-2675-48ff-a62a-64b5516c2e09", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "x = np.array([1.0, 2.0, 3.0])\n", "y = np.array([4.0, 5.0, -1.0])\n", "proxy.add_signal(\"toto\", x, y)" ] }, { "cell_type": "code", "execution_count": null, "id": "4a094ecb-5314-42d8-be60-0ce419275e8f", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "proxy.calc(\"derivative\")" ] }, { "cell_type": "code", "execution_count": 24, "id": "94fc3b6d-8d4a-40d6-ad34-9ecb4888db58", "metadata": {}, "outputs": [], "source": [ "proxy.set_current_panel(\"image\")" ] }, { "cell_type": "code", "execution_count": null, "id": "2b0b4fc7-c282-4c2c-bb57-6df3241524ce", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "proxy.calc(\"fft\")" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.11.6" } }, "nbformat": 4, "nbformat_minor": 5 } Sigima-1.1.1/doc/requirements.rst000066400000000000000000000074721514013333200167520ustar00rootroot00000000000000The `sigima` package requires the following Python modules: .. list-table:: :header-rows: 1 :align: left * - Name - Version - Summary * - Python - >=3.9, <4 - Python programming language * - guidata - >= 3.13 - Automatic GUI generation for easy dataset editing and display * - NumPy - >= 1.22, < 2.5 - Fundamental package for array computing in Python * - SciPy - >= 1.10.1, < 1.17 - Fundamental algorithms for scientific computing in Python * - scikit-image - >= 0.19.2, < 0.27 - Image processing in Python * - pandas - >= 1.4, < 3.0 - Powerful data structures for data analysis, time series, and statistics * - PyWavelets - >= 1.2, < 2.0 - PyWavelets, wavelet transform module * - packaging - >= 21.3 - Core utilities for Python packages * - typing-extensions - >= 4.0 - Backported and Experimental Type Hints for Python 3.9+ * - makefun - >= 1.13.1 - Small library to dynamically create python functions. Optional modules for GUI support (Qt): .. list-table:: :header-rows: 1 :align: left * - Name - Version - Summary * - qtpy - - Provides an abstraction layer on top of the various Qt bindings (PyQt5/6 and PySide2/6). * - PyQt5 - - Python bindings for the Qt cross platform application toolkit * - plotpy - - Curve and image plotting tools for Python/Qt applications Optional modules for development: .. list-table:: :header-rows: 1 :align: left * - Name - Version - Summary * - build - - A simple, correct Python build frontend * - babel - - Internationalization utilities * - ruff - - An extremely fast Python linter and code formatter, written in Rust. * - pylint - - python code static checker * - Coverage - - Code coverage measurement for Python * - pre-commit - - A framework for managing and maintaining multi-language pre-commit hooks. Optional modules for building the documentation: .. list-table:: :header-rows: 1 :align: left * - Name - Version - Summary * - sphinx - - Python documentation generator * - sphinx-gallery - - A Sphinx extension that builds an HTML gallery of examples from any set of Python scripts. * - sphinx_intl - - Sphinx utility that make it easy to translate and to apply translation. * - myst_parser - - An extended [CommonMark](https://spec.commonmark.org/) compliant parser, * - myst-nb - - A Jupyter Notebook Sphinx reader built on top of the MyST markdown parser. * - sphinx_design - - A sphinx extension for designing beautiful, view size responsive web components. * - sphinx-copybutton - - Add a copy button to each of your code cells. * - pydata-sphinx-theme - - Bootstrap-based Sphinx theme from the PyData community * - qtpy - - Provides an abstraction layer on top of the various Qt bindings (PyQt5/6 and PySide2/6). * - PyQt5 - - Python bindings for the Qt cross platform application toolkit * - plotpy - - Curve and image plotting tools for Python/Qt applications * - matplotlib - - Python plotting package * - opencv-python-headless - >= 4.8.1.78 - Wrapper package for OpenCV python bindings. Optional modules for running test suite: .. list-table:: :header-rows: 1 :align: left * - Name - Version - Summary * - pytest - - pytest: simple powerful testing with Python * - pytest-xvfb - - A pytest plugin to run Xvfb (or Xephyr/Xvnc) for tests.Sigima-1.1.1/doc/simple_example.ipynb000066400000000000000000003422751514013333200175470ustar00rootroot00000000000000{ "cells": [ { "cell_type": "markdown", "id": "dbaa17fc", "metadata": {}, "source": [ "# Prepare data and compute processing feature\n", "\n", "Demonstration of using Regions of Interest (ROIs) in image processing with **Sigima**" ] }, { "cell_type": "code", "execution_count": null, "id": "d64b7637", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import sigima.objects\n", "import sigima.proc.image\n", "\n", "# Generating a noisy image\n", "data = np.random.normal(100, 30, (100, 100))\n", "\n", "# Applying Gaussian filter on the image with the defined ROI\n", "image = sigima.objects.create_image(\"Noisy\", data)\n", "image.roi = sigima.objects.create_image_roi(\"circle\", [30, 30, 20])\n", "result = sigima.proc.image.gaussian_filter(image, sigma=5.0)\n", "result" ] }, { "cell_type": "markdown", "id": "d0ca49c4", "metadata": {}, "source": [ "# Display results\n", "\n", "ℹ️ The following code use `viz` Matplotlib backend which has been introduced in Sigima V1.1\n", "> Sigima V1.0 uses an internal version of `viz` for image display based on PlotPy (`tests.vistools`)." ] }, { "cell_type": "code", "execution_count": null, "id": "fbcd89cd", "metadata": {}, "outputs": [], "source": [ "from sigima.config import options\n", "\n", "# This is only needed if you have both Matplotlib and PlotPy installed\n", "options.viz_backend.set(\"matplotlib\")" ] }, { "cell_type": "code", "execution_count": null, "id": "c2699c37", "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sigima import viz\n", "\n", "# Display results with Matplotlib\n", "viz.view_images([image, result])" ] }, { "cell_type": "code", "execution_count": null, "id": "7c284933", "metadata": {}, "outputs": [], "source": [ "# Show ROI on the original image\n", "image.roi" ] }, { "cell_type": "code", "execution_count": null, "id": "f754e7a8", "metadata": {}, "outputs": [], "source": [ "# Get statistics of the original image within the ROI\n", "sigima.proc.image.stats(image)" ] } ], "metadata": { "kernelspec": { "display_name": ".venv", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.11.6" } }, "nbformat": 4, "nbformat_minor": 5 } Sigima-1.1.1/doc/user_guide/000077500000000000000000000000001514013333200156165ustar00rootroot00000000000000Sigima-1.1.1/doc/user_guide/features.rst000066400000000000000000000577141514013333200202040ustar00rootroot00000000000000.. _features: Features ======== Sigima provides a comprehensive suite of signal and image processing computational features organized into logical categories. This page provides an organized overview of all available computation functions with direct links to their API documentation. .. note:: All computation functions are available in the :mod:`sigima.proc` module. The :mod:`sigima.tools` modules provide lower-level utility functions used internally by the proc functions. Common Operations ----------------- These operations are available for both signals and images with similar functionality. Arithmetic Operations ~~~~~~~~~~~~~~~~~~~~~ .. list-table:: :header-rows: 1 :widths: 25 25 50 * - Signal Functions - Image Functions - Description * - :func:`addition ` - :func:`addition ` - Add two signals/images * - :func:`difference ` - :func:`difference ` - Subtract one signal/image from another * - :func:`product ` - :func:`product ` - Multiply two signals/images * - :func:`division ` - :func:`division ` - Divide one signal/image by another * - :func:`average ` - :func:`average ` - Compute average of multiple signals/images * - :func:`standard_deviation ` - :func:`standard_deviation ` - Compute standard deviation of multiple signals/images * - :func:`quadratic_difference ` - :func:`quadratic_difference ` - Compute quadratic difference between signals/images * - :func:`arithmetic ` - :func:`arithmetic ` - Generic arithmetic operations with parameters Constant Operations ~~~~~~~~~~~~~~~~~~~ .. list-table:: :header-rows: 1 :widths: 25 25 50 * - Signal Functions - Image Functions - Description * - :func:`addition_constant ` - :func:`addition_constant ` - Add a constant value to signal/image * - :func:`difference_constant ` - :func:`difference_constant ` - Subtract a constant from signal/image * - :func:`product_constant ` - :func:`product_constant ` - Multiply signal/image by a constant * - :func:`division_constant ` - :func:`division_constant ` - Divide signal/image by a constant Mathematical Operations ~~~~~~~~~~~~~~~~~~~~~~~ .. list-table:: :header-rows: 1 :widths: 25 25 50 * - Signal Functions - Image Functions - Description * - :func:`absolute ` - :func:`absolute ` - Compute absolute value * - :func:`exp ` - :func:`exp ` - Exponential function * - :func:`log10 ` - :func:`log10 ` - Base-10 logarithm * - :func:`inverse ` - :func:`inverse ` - Compute reciprocal * - :func:`real ` - :func:`real ` - Extract real part of complex data * - :func:`imag ` - :func:`imag ` - Extract imaginary part of complex data * - :func:`phase ` - :func:`phase ` - Extract phase of complex data * - :func:`astype ` - :func:`astype ` - Convert data type * - :func:`transpose ` - :func:`transpose ` - Transpose coordinates/axes * - N/A - :func:`log10_z_plus_n ` - Log10 with offset for zero handling Signal-Specific Mathematical Operations ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. list-table:: :header-rows: 1 :widths: 50 50 * - Function - Description * - :func:`sqrt ` - Square root * - :func:`power ` - Raise to power * - :func:`to_cartesian ` - Convert to Cartesian coordinates * - :func:`to_polar ` - Convert to polar coordinates Complex Number Operations ~~~~~~~~~~~~~~~~~~~~~~~~~ .. list-table:: :header-rows: 1 :widths: 25 25 50 * - Signal Functions - Image Functions - Description * - :func:`complex_from_real_imag ` - :func:`complex_from_real_imag ` - Create complex data from real and imaginary parts * - :func:`complex_from_magnitude_phase ` - :func:`complex_from_magnitude_phase ` - Create complex data from magnitude and phase Fourier Analysis ~~~~~~~~~~~~~~~~ .. list-table:: :header-rows: 1 :widths: 25 25 50 * - Signal Functions - Image Functions - Description * - :func:`fft ` - :func:`fft ` - Fast Fourier Transform (1D/2D) * - :func:`ifft ` - :func:`ifft ` - Inverse Fast Fourier Transform (1D/2D) * - :func:`magnitude_spectrum ` - :func:`magnitude_spectrum ` - Magnitude spectrum * - :func:`phase_spectrum ` - :func:`phase_spectrum ` - Phase spectrum * - :func:`psd ` - :func:`psd ` - Power spectral density Convolution Operations ~~~~~~~~~~~~~~~~~~~~~~ .. list-table:: :header-rows: 1 :widths: 25 25 50 * - Signal Functions - Image Functions - Description * - :func:`convolution ` - :func:`convolution ` - Convolution operation * - :func:`deconvolution ` - :func:`deconvolution ` - Deconvolution operation Filtering ~~~~~~~~~ .. list-table:: :header-rows: 1 :widths: 25 25 50 * - Signal Functions - Image Functions - Description * - :func:`gaussian_filter ` - :func:`gaussian_filter ` - Gaussian smoothing filter * - :func:`moving_average ` - :func:`moving_average ` - Moving average filter * - :func:`moving_median ` - :func:`moving_median ` - Moving median filter * - :func:`wiener ` - :func:`wiener ` - Wiener filter Noise Addition ~~~~~~~~~~~~~~ .. list-table:: :header-rows: 1 :widths: 25 25 50 * - Signal Functions - Image Functions - Description * - :func:`add_gaussian_noise ` - :func:`add_gaussian_noise ` - Add Gaussian noise for testing * - :func:`add_poisson_noise ` - :func:`add_poisson_noise ` - Add Poisson noise for testing * - :func:`add_uniform_noise ` - :func:`add_uniform_noise ` - Add uniform noise for testing Signal Conditioning ~~~~~~~~~~~~~~~~~~~~ .. list-table:: :header-rows: 1 :widths: 25 25 50 * - Signal Functions - Image Functions - Description * - :func:`normalize ` - :func:`normalize ` - Normalize amplitude/intensity values * - :func:`clip ` - :func:`clip ` - Clip values to specified range * - :func:`offset_correction ` - :func:`offset_correction ` - Remove DC offset/background Region of Interest (ROI) ~~~~~~~~~~~~~~~~~~~~~~~~~ .. list-table:: :header-rows: 1 :widths: 25 25 50 * - Signal Functions - Image Functions - Description * - :func:`extract_roi ` - :func:`extract_roi ` - Extract single ROI from data * - :func:`extract_rois ` - :func:`extract_rois ` - Extract multiple ROIs from data Calibration ~~~~~~~~~~~ .. list-table:: :header-rows: 1 :widths: 25 25 50 * - Signal Functions - Image Functions - Description * - :func:`calibration ` - :func:`calibration ` - Apply coordinate system calibration Signal Processing ----------------- Array Operations ~~~~~~~~~~~~~~~~ .. list-table:: :header-rows: 1 :widths: 30 70 * - Function - Description * - :func:`signals_to_image ` - Convert signals to image representation Frequency Filtering ~~~~~~~~~~~~~~~~~~~ .. list-table:: :header-rows: 1 :widths: 30 70 * - Function - Description * - :func:`lowpass ` - Low-pass filter * - :func:`highpass ` - High-pass filter * - :func:`bandpass ` - Band-pass filter * - :func:`bandstop ` - Band-stop filter * - :func:`frequency_filter ` - Generic frequency filtering Signal Conditioning & Processing ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. list-table:: :header-rows: 1 :widths: 30 70 * - Function - Description * - :func:`detrending ` - Remove linear trend * - :func:`apply_window ` - Apply windowing function * - :func:`resampling ` - Resample signal * - :func:`interpolate ` - Interpolate signal * - :func:`reverse_x ` - Reverse x-axis order * - :func:`xy_mode ` - Handle XY coordinate modes * - :func:`replace_x_by_other_y ` - Replace X axis using another signal's Y values * - :func:`zero_padding ` - Zero-padding for signals Signal Analysis ~~~~~~~~~~~~~~~ .. list-table:: :header-rows: 1 :widths: 30 70 * - Function - Description * - :func:`stats ` - Statistical measurements * - :func:`histogram ` - Compute signal histogram * - :func:`contrast ` - Compute signal contrast * - :func:`derivative ` - Compute signal derivative * - :func:`integral ` - Compute signal integral * - :func:`sampling_rate_period ` - Analyze sampling rate and period Peak and Feature Detection ~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. list-table:: :header-rows: 1 :widths: 30 70 * - Function - Description * - :func:`peak_detection ` - Peak detection in signals * - :func:`bandwidth_3db ` - 3dB bandwidth measurement * - :func:`fwhm ` - Full Width at Half Maximum * - :func:`fw1e2 ` - Full Width at 1/e² * - :func:`full_width_at_y ` - Full width at custom level * - :func:`dynamic_parameters ` - Dynamic range parameters * - :func:`x_at_y ` - Find x-coordinates at given y-value * - :func:`y_at_x ` - Find y-values at given x-coordinate * - :func:`x_at_minmax ` - Find x-coordinates of extrema Curve Fitting ~~~~~~~~~~~~~~ .. list-table:: :header-rows: 1 :widths: 30 70 * - Function - Description * - :func:`linear_fit ` - Linear regression * - :func:`polynomial_fit ` - Polynomial fitting * - :func:`gaussian_fit ` - Gaussian curve fitting * - :func:`lorentzian_fit ` - Lorentzian curve fitting * - :func:`voigt_fit ` - Voigt profile fitting * - :func:`twohalfgaussian_fit ` - Two-half Gaussian fitting * - :func:`exponential_fit ` - Exponential decay fitting * - :func:`piecewiseexponential_fit ` - Piecewise exponential fitting * - :func:`sigmoid_fit ` - Sigmoid curve fitting * - :func:`sinusoidal_fit ` - Sinusoidal fitting * - :func:`planckian_fit ` - Planckian (blackbody) fitting * - :func:`cdf_fit ` - Cumulative distribution function fitting * - :func:`evaluate_fit ` - Evaluate fitted function * - :func:`extract_fit_params ` - Extract fitting parameters Stability Analysis ~~~~~~~~~~~~~~~~~~ .. list-table:: :header-rows: 1 :widths: 30 70 * - Function - Description * - :func:`allan_variance ` - Allan variance * - :func:`allan_deviation ` - Allan deviation * - :func:`modified_allan_variance ` - Modified Allan variance * - :func:`overlapping_allan_variance ` - Overlapping Allan variance * - :func:`hadamard_variance ` - Hadamard variance * - :func:`time_deviation ` - Time deviation * - :func:`total_variance ` - Total variance Pulse Analysis ~~~~~~~~~~~~~~ .. list-table:: :header-rows: 1 :widths: 30 70 * - Function - Description * - :func:`extract_pulse_features ` - Extract comprehensive pulse characteristics Utility Functions ~~~~~~~~~~~~~~~~~ .. list-table:: :header-rows: 1 :widths: 30 70 * - Function - Description * - :func:`check_same_sample_rate ` - Verify consistent sampling rates * - :func:`get_nyquist_frequency ` - Calculate Nyquist frequency Image Processing ---------------- Geometry and Transformations ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. list-table:: :header-rows: 1 :widths: 30 70 * - Function - Description * - :func:`rotate ` - Rotate image by arbitrary angle * - :func:`rotate90 ` - Rotate image 90° clockwise * - :func:`rotate270 ` - Rotate image 270° clockwise * - :func:`fliph ` - Flip image horizontally * - :func:`flipv ` - Flip image vertically * - :func:`translate ` - Translate image by specified offset * - :func:`resize ` - Resize image to specified dimensions * - :func:`resampling ` - Resample image with different methods * - :func:`binning ` - Reduce image size by binning pixels * - :func:`set_uniform_coords ` - Set uniform coordinate system * - :data:`transformer ` - Apply custom geometric transformations Frequency Domain Filtering ~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. list-table:: :header-rows: 1 :widths: 30 70 * - Function - Description * - :func:`butterworth ` - Butterworth frequency filter * - :func:`gaussian_freq_filter ` - Gaussian frequency filter Edge Detection ~~~~~~~~~~~~~~ .. list-table:: :header-rows: 1 :widths: 30 70 * - Function - Description * - :func:`sobel ` - Sobel edge detector * - :func:`sobel_h ` - Sobel horizontal edges * - :func:`sobel_v ` - Sobel vertical edges * - :func:`scharr ` - Scharr edge detector * - :func:`scharr_h ` - Scharr horizontal edges * - :func:`scharr_v ` - Scharr vertical edges * - :func:`prewitt ` - Prewitt edge detector * - :func:`prewitt_h ` - Prewitt horizontal edges * - :func:`prewitt_v ` - Prewitt vertical edges * - :func:`farid ` - Farid edge detector * - :func:`farid_h ` - Farid horizontal edges * - :func:`farid_v ` - Farid vertical edges * - :func:`roberts ` - Roberts cross-gradient * - :func:`laplace ` - Laplacian edge detector * - :func:`canny ` - Canny edge detector Feature Detection ~~~~~~~~~~~~~~~~~ .. list-table:: :header-rows: 1 :widths: 30 70 * - Function - Description * - :func:`blob_dog ` - Blob detection using Difference of Gaussians * - :func:`blob_doh ` - Blob detection using Determinant of Hessian * - :func:`blob_log ` - Blob detection using Laplacian of Gaussians * - :func:`blob_opencv ` - OpenCV-based blob detection * - :func:`peak_detection ` - 2D peak detection * - :func:`contour_shape ` - Contour shape analysis * - :func:`hough_circle_peaks ` - Circular Hough transform Morphological Operations ~~~~~~~~~~~~~~~~~~~~~~~~ .. list-table:: :header-rows: 1 :widths: 30 70 * - Function - Description * - :func:`erosion ` - Morphological erosion * - :func:`dilation ` - Morphological dilation * - :func:`opening ` - Morphological opening * - :func:`closing ` - Morphological closing * - :func:`white_tophat ` - White top-hat transform * - :func:`black_tophat ` - Black top-hat transform Thresholding ~~~~~~~~~~~~ .. list-table:: :header-rows: 1 :widths: 30 70 * - Function - Description * - :func:`threshold ` - Manual threshold with custom value * - :func:`threshold_otsu ` - Otsu's thresholding * - :func:`threshold_li ` - Li's thresholding * - :func:`threshold_yen ` - Yen's thresholding * - :func:`threshold_triangle ` - Triangle thresholding * - :func:`threshold_isodata ` - Isodata thresholding * - :func:`threshold_mean ` - Mean thresholding * - :func:`threshold_minimum ` - Minimum thresholding Exposure and Intensity Correction ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. list-table:: :header-rows: 1 :widths: 30 70 * - Function - Description * - :func:`histogram ` - Compute image histogram * - :func:`equalize_hist ` - Histogram equalization * - :func:`equalize_adapthist ` - Adaptive histogram equalization * - :func:`adjust_gamma ` - Gamma correction * - :func:`adjust_log ` - Logarithmic adjustment * - :func:`adjust_sigmoid ` - Sigmoid adjustment * - :func:`rescale_intensity ` - Rescale intensity range * - :func:`flatfield ` - Flat-field correction Image Restoration ~~~~~~~~~~~~~~~~~ .. list-table:: :header-rows: 1 :widths: 30 70 * - Function - Description * - :func:`denoise_bilateral ` - Bilateral denoising * - :func:`denoise_tv ` - Total variation denoising * - :func:`denoise_wavelet ` - Wavelet denoising * - :func:`denoise_tophat ` - Top-Hat denoising * - :func:`erase ` - Erase image regions Preprocessing ~~~~~~~~~~~~~ .. list-table:: :header-rows: 1 :widths: 30 70 * - Function - Description * - :func:`zero_padding ` - Zero-padding for images Measurements and Analysis ~~~~~~~~~~~~~~~~~~~~~~~~~ .. list-table:: :header-rows: 1 :widths: 30 70 * - Function - Description * - :func:`centroid ` - Compute image centroid * - :func:`enclosing_circle ` - Find minimum enclosing circle * - :func:`stats ` - Statistical measurements * - :func:`line_profile ` - Extract profile along a line * - :func:`segment_profile ` - Extract profile along a multi-segment line * - :func:`radial_profile ` - Extract radial profile from center * - :func:`average_profile ` - Average profile over region * - :func:`horizontal_projection ` - Project image onto horizontal axis * - :func:`vertical_projection ` - Project image onto vertical axis * - :func:`generate_image_grid_roi ` - Generate grid of ROIs See Also -------- - :doc:`../api/proc` - Complete API reference for all processing functions - :doc:`../api/objects` - Data objects (SignalObj, ImageObj) used by processing functions - :doc:`../auto_examples/index` - Examples demonstrating various computation features Sigima-1.1.1/doc/user_guide/getting_started.rst000066400000000000000000000044071514013333200215440ustar00rootroot00000000000000.. _getting_started: Getting Started =============== This page provides a quick introduction to get you started with Sigima through practical examples. Interactive Notebook -------------------- The best way to start learning Sigima is through an interactive Jupyter notebook. This example demonstrates image processing with Regions of Interest (ROI) and uses the matplotlib backend for web-friendly visualization. :download:`Download simple_example.ipynb <../simple_example.ipynb>` .. toctree:: :maxdepth: 1 ../simple_example What This Example Shows ^^^^^^^^^^^^^^^^^^^^^^^^ The notebook demonstrates: * Creating image objects from NumPy arrays * Defining Regions of Interest (ROI) for selective processing * Applying Gaussian filtering to images * Visualizing results with matplotlib backend (web-friendly, no Qt required) * Using the new visualization backend selection feature introduced in Sigima V1.1 Key Concepts ^^^^^^^^^^^^ **Object-Oriented Approach** Sigima wraps NumPy arrays in rich objects (``SignalObj``, ``ImageObj``) that carry metadata, units, and ROI information. **Region of Interest (ROI)** Process only specific areas of your data by defining ROIs. The example shows a circular ROI applied to an image. **Backend Flexibility** Choose between PlotPy (Qt-based, interactive) or Matplotlib (web-friendly) backends for visualization, making Sigima suitable for both desktop applications and web-based workflows. Remote Control Example ---------------------- Sigima also enables remote control of DataLab sessions from external scripts or notebooks. This is useful for automation, batch processing, or integrating DataLab into larger workflows. :download:`Download remote_example.ipynb <../remote_example.ipynb>` .. toctree:: :maxdepth: 1 ../remote_example This notebook demonstrates: * Connecting to a running DataLab instance using ``SimpleRemoteProxy`` * Adding signals and images to DataLab from external Python code * Controlling DataLab programmatically without GUI interaction Next Steps ---------- * Explore the :ref:`features` page for a complete overview of available operations * Check out the :ref:`API documentation ` for detailed function references * Browse the :doc:`gallery of examples ` for more use cases Sigima-1.1.1/doc/user_guide/index.rst000066400000000000000000000016001514013333200174540ustar00rootroot00000000000000User Guide ========== .. only:: html and not latex .. grid:: 2 2 4 4 :gutter: 1 2 3 4 .. grid-item-card:: :octicon:`download;1em;sd-text-info` Installation :link: installation :link-type: doc How to install Sigima .. grid-item-card:: :octicon:`rocket;1em;sd-text-info` Getting Started :link: getting_started :link-type: doc Quick start with examples .. grid-item-card:: :octicon:`book;1em;sd-text-info` Overview :link: overview :link-type: doc Introduction to Sigima .. grid-item-card:: :octicon:`star;1em;sd-text-info` Features :link: features :link-type: doc Key functionalities .. toctree:: :maxdepth: 2 :caption: Contents: installation getting_started overview features Sigima-1.1.1/doc/user_guide/installation.rst000066400000000000000000000102271514013333200210530ustar00rootroot00000000000000.. _installation: Installation ============ This section provides instructions on how to install and set up the Sigima project, including dependencies and environment configuration. How to install -------------- Sigima is available in several forms: - As a :ref:`install_conda`. - As a Python package, which can be installed using the :ref:`install_pip`. - As a precompiled :ref:`install_wheel`, which can be installed using ``pip``. - As a :ref:`install_source`, which can be installed using ``pip`` or manually. .. seealso:: Impatient to try the next version of Sigima? You can also install the latest development version of Sigima from the master branch of the Git repository. See :ref:`install_development` for more information. .. _install_conda: Conda package ^^^^^^^^^^^^^ :octicon:`info;1em;sd-text-info` :bdg-info-line:`GNU/Linux` :bdg-info-line:`Windows` :bdg-info-line:`macOS` To install ``sigima`` package from the `conda-forge` channel (https://anaconda.org/conda-forge/sigima), run the following command: .. code-block:: console $ conda install conda-forge::sigima .. _install_pip: Package manager ``pip`` ^^^^^^^^^^^^^^^^^^^^^^^ :octicon:`info;1em;sd-text-info` :bdg-info-line:`GNU/Linux` :bdg-info-line:`Windows` :bdg-info-line:`macOS` Sigima's package ``sigima`` is available on the Python Package Index (PyPI) on the following URL: https://pypi.python.org/pypi/sigima. Installing Sigima from PyPI is as simple as running this command (you may need to use ``pip3`` instead of ``pip`` on some systems): .. code-block:: console $ pip install sigima .. note:: If you already have a previous version of Sigima installed, you can upgrade it by running the same command with the ``--upgrade`` option: .. code-block:: console $ pip install --upgrade sigima .. _install_wheel: Wheel package ^^^^^^^^^^^^^ :octicon:`info;1em;sd-text-info` :bdg-info-line:`GNU/Linux` :bdg-info-line:`Windows` :bdg-info-line:`macOS` On any operating system, using pip and the Wheel package is the easiest way to install sigima on an existing Python distribution: .. code-block:: console $ pip install --upgrade Sigima-0.3.0-py2.py3-none-any.whl .. _install_source: Source package ^^^^^^^^^^^^^^ :octicon:`info;1em;sd-text-info` :bdg-info-line:`GNU/Linux` :bdg-info-line:`Windows` :bdg-info-line:`macOS` Installing Sigima directly from the source package may be done using ``pip``: .. code-block:: console $ pip install --upgrade sigima-0.3.0.tar.gz Or, if you prefer, you can install it manually by running the following command from the root directory of the source package: .. code-block:: console $ pip install --upgrade . Finally, you can also build your own Wheel package and install it using ``pip``, by running the following command from the root directory of the source package (this requires the ``build`` and ``wheel`` packages to be installed): .. code-block:: console $ pip install build wheel # Install build and wheel packages (if needed) $ python -m build # Build the wheel package $ pip install --upgrade dist/sigima-0.3.0-py2.py3-none-any.whl # Install the wheel package .. _install_development: Development version ^^^^^^^^^^^^^^^^^^^ :octicon:`info;1em;sd-text-info` :bdg-info-line:`GNU/Linux` :bdg-info-line:`Windows` :bdg-info-line:`macOS` If you want to try the latest development version of Sigima, you can install it directly from the master branch of the Git repository. The first time you install Sigima from the Git repository, enter the following command: .. code-block:: console $ pip install git+https://github.com/DataLab-Platform/Sigima.git Then, if at some point you want to upgrade to the latest version of Sigima, just run the same command with options to force the reinstall of the package without handling dependencies (because it would reinstall all dependencies): .. code-block:: console $ pip install --force-reinstall --no-deps git+https://github.com/DataLab-Platform/Sigima.git .. note:: If dependencies have changed, you may need to execute the same command as above, but without the ``--no-deps`` option. Dependencies ------------ .. include:: ../requirements.rst Sigima-1.1.1/doc/user_guide/overview.rst000066400000000000000000000273671514013333200202350ustar00rootroot00000000000000.. _overview: Overview ======== What is Sigima? --------------- **Sigima** is an open-source Python library for scientific signal and image processing. It provides a unified, object-oriented approach to working with 1D signals and 2D images, combining the power of NumPy arrays with rich metadata and processing capabilities. Sigima was created from the externalization of `DataLab `_'s computing engine and is now an essential building block of the DataLab ecosystem, but is designed to be GUI-independent (and independent of DataLab itself) and can be used in a variety of scientific computing contexts. Quick Start Example ------------------- Here's a simple example demonstrating image processing with Regions of Interest (ROIs) using Sigima. This example uses the matplotlib backend for visualization, making it web-friendly and easy to run in Jupyter notebooks. See the complete interactive notebook in the :ref:`getting_started` section. Why Sigima? ----------- Scientific data processing often requires more than just raw numerical arrays. Real-world applications demand: * **Context-aware data**: physical units, coordinate systems, and measurement uncertainties * **Reproducible workflows**: clear separation between data and processing logic * **Testable components**: modular functions that can be validated independently * **Flexible integration**: ability to work both with high-level objects and low-level arrays Sigima addresses these needs by providing a structured framework that bridges the gap between raw numerical operations and scientific data analysis. It is designed to be the processing backend for scientific applications, particularly those requiring headless execution or remote processing capabilities. Signals in Sigima ----------------- What are Signals? ^^^^^^^^^^^^^^^^^ In Sigima, a **signal** is a 1D data object represented by the :py:class:`~sigima.objects.signal.object.SignalObj` class. Unlike a simple NumPy array, a signal carries complete information about your measurement or calculation. Core Components ^^^^^^^^^^^^^^^ A signal consists of: **X and Y Data** The fundamental coordinate-value pairs that define your signal. The x-axis typically represents the independent variable (time, frequency, position, etc.) while the y-axis contains the measured or calculated values. **Error Bars (dx, dy)** Sigima natively supports uncertainty quantification through optional error bars: * ``dx``: uncertainties in the x-coordinate (e.g., timing jitter, position uncertainty) * ``dy``: uncertainties in the y-values (e.g., measurement noise, statistical errors) These error bars propagate through many processing operations, allowing you to track how uncertainties evolve in your analysis pipeline. **Metadata** A flexible dictionary for storing any additional information about your signal: acquisition parameters, processing history, physical constants, or any custom data your application needs. **Units and Labels** Clear labeling of physical quantities: * ``xlabel`` / ``ylabel``: descriptive names (e.g., "Time", "Temperature") * ``xunit`` / ``yunit``: physical units (e.g., "s", "°C") **Annotations** User-defined notes or comments about specific features or regions of the signal. Why This Matters ^^^^^^^^^^^^^^^^ Consider a temperature measurement over time. With a simple NumPy array, you just have numbers. With a Sigima signal, you have: .. code-block:: python import numpy as np from sigima.objects import create_signal # Time points with some uncertainty in timing time = np.linspace(0, 10, 100) time_uncertainty = np.full_like(time, 0.01) # ±10 ms timing jitter # Temperature measurements with measurement error temperature = 20 + 5 * np.sin(time) + np.random.normal(0, 0.1, 100) temp_uncertainty = np.full_like(temperature, 0.1) # ±0.1°C sensor noise # Create a signal with full context signal = create_signal( title="Temperature oscillation", x=time, y=temperature, dx=time_uncertainty, dy=temp_uncertainty, units=("s", "°C"), labels=("Time", "Temperature"), ) # Metadata is automatically preserved through processing signal.metadata["sensor_id"] = "TC-01" signal.metadata["location"] = "Lab A" This signal object can now be processed, analyzed, saved, and loaded while preserving all its context. When you apply operations like filtering, peak detection, or statistics, the units, labels, and error bars remain attached to your data. Specialized Features ^^^^^^^^^^^^^^^^^^^^ Sigima signals support advanced use cases: **Datetime Coordinates** For time-series data, x-coordinates can represent actual datetime values, with automatic handling of time units and formatting. **ROI Operations** Define regions of interest (ROIs) to process or analyze specific portions of your signal independently. **Scale Management** Control visualization aspects like logarithmic scales and axis bounds. Images in Sigima ---------------- What are Images? ^^^^^^^^^^^^^^^^ An **image** in Sigima is a 2D data object represented by the :py:class:`~sigima.objects.image.object.ImageObj` class. Like signals, images extend beyond simple 2D NumPy arrays by providing comprehensive metadata and coordinate system support. Core Components ^^^^^^^^^^^^^^^ An image consists of: **2D Data Array** The pixel values forming your image. Sigima supports various data types including unsigned integers (uint8, uint16), signed integers (int16, int32), floating-point (float32, float64), and complex numbers (complex128). **Coordinate Systems** Two types of coordinate systems are supported: * **Uniform coordinates**: regular pixel spacing, common for most imaging systems - ``dx``, ``dy``: pixel spacing in physical units - ``x0``, ``y0``: origin coordinates * **Non-uniform coordinates**: variable pixel spacing for adaptive sampling or irregular grids - ``xcoords``, ``ycoords``: explicit coordinate arrays **Metadata** Rich metadata support including: * DICOM template integration for medical imaging * Custom key-value pairs for any application-specific data * Automatic extraction from common file formats **Units and Labels** Physical quantities for all three dimensions: * ``xlabel``, ``ylabel``, ``zlabel``: axis descriptions * ``xunit``, ``yunit``, ``zunit``: physical units The z-axis typically represents the pixel values (intensity, height, temperature, etc.) **Annotations** Structured annotations for documenting features, regions, or processing steps. **Data Type Flexibility** Unlike signals (which are typically float64), images support multiple data types optimized for different use cases: * ``uint8``, ``uint16``: efficient storage for camera data, medical images * ``int16``, ``int32``: signed data, difference images * ``float32``, ``float64``: scientific measurements, calculated results * ``complex128``: Fourier transforms, wave simulations Why This Matters ^^^^^^^^^^^^^^^^ Consider microscopy data. A raw 2D array gives you pixel values, but an ``ImageObj`` provides the complete picture: .. code-block:: python import numpy as np from sigima.objects import create_image # Create a 512x512 microscopy image data = np.random.poisson(1000, (512, 512)).astype(np.uint16) image = create_image( title="Cell sample - 40x objective", data=data, units=("μm", "μm", "counts"), labels=("X position", "Y position", "Photon counts"), ) # Set physical coordinate system # 0.16 μm per pixel, field of view starts at origin image.set_uniform_coords(dx=0.16, dy=0.16, x0=0.0, y0=0.0) # Add acquisition metadata image.metadata["objective"] = "40x" image.metadata["exposure_time"] = 100 # ms image.metadata["binning"] = "1x1" image.metadata["camera_gain"] = 2.5 Processing operations automatically work in physical units. Measurements return results in micrometers, not pixels. The metadata travels with your data through the entire analysis pipeline. Specialized Features ^^^^^^^^^^^^^^^^^^^^ **Native Support for Multiple Image Formats** Sigima can directly read and write images from various scientific and common file formats, making it easy to integrate into existing workflows: * **Common formats**: BMP, JPEG, PNG, TIFF, JPEG 2000 * **Scientific formats**: DICOM (medical imaging), Andor SIF (spectroscopy cameras) * **Data exchange**: NumPy (.npy), MATLAB (.mat), HDF5 (.h5img) * **Text-based**: CSV, TXT, ASC (with coordinate metadata support) * **Specialized**: Spiricon (.scor-data), Dürr NDT (.xyz), FT-Lab (.ima) Each format preserves relevant metadata when available, such as DICOM medical imaging headers or acquisition parameters from scientific instruments. **ROI Operations** Define rectangular, circular, or polygonal regions of interest for localized analysis or processing. **Masked Arrays** Support for NumPy masked arrays to handle invalid pixels, saturated regions, or excluded areas. **Coordinate Conversion** Seamless conversion between pixel indices and physical coordinates, essential for multi-scale or multi-modal imaging. Key Differences from Raw Arrays -------------------------------- Here's why Sigima objects are more powerful than plain NumPy arrays in physical data processing: .. list-table:: :header-rows: 1 :widths: 30 35 35 * - Feature - NumPy Array - Sigima Object * - Data storage - Numbers only - Numbers + context * - Units - Implicit/external - Explicit and tracked * - Error propagation - Manual - Automatic (where supported) * - Metadata - Separate variables - Integrated dictionary * - Coordinate systems - Index-based only - Physical coordinates * - Serialization - Just data - Complete context * - Processing history - Lost - Can be tracked Common Use Cases ---------------- Sigima excels in scenarios requiring: **Scientific Instrumentation** Process data from sensors, cameras, spectrometers, or any measurement device while preserving calibration, units, and acquisition parameters. **Automated Analysis Pipelines** Build reproducible workflows that maintain data provenance and context through multiple processing steps. **Remote Processing** Execute signal and image processing on remote servers or in cloud environments without GUI dependencies. **Application Backends** Provide the computation engine for scientific software, keeping processing logic independent from user interface concerns. **Research and Development** Develop and validate new processing algorithms in a testable, modular framework. GUI Connection -------------- As the core computing engine externalized from `DataLab `_, Sigima seamlessly integrates with it as an essential building block of the DataLab stack. You can leverage Sigima's powerful processing features within DataLab's graphical interface, using for example Sigima to handle your signal and image acquisition and sending the results back to DataLab for visualization and further interactive analysis. Getting Started --------------- To start using Sigima, check out: * :doc:`installation` - Set up Sigima in your environment * :doc:`features` - Explore Sigima's key features and capabilities * :doc:`../auto_examples/index` - Practical examples showing signals and images in action * :doc:`../api/index` - Complete API reference .. note:: Sigima is designed to be **GUI-independent**. If you need interactive visualization and analysis tools, check out `DataLab `_, which uses Sigima as its processing backend and adds a complete graphical interface. 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ROIs:1
", "text/plain": "Gaussian Filter Result (sigma=5.0):\n _tabs:\n _datag:\n data: ~= 99.668 [-14.673 .. 206.973] (FloatArrayItem)\n metadata: {'_roi_': {'single_rois': [{'coords': array([30., 30., 20.]), 'indices': False, 'title': '', 'type': 'CircularROI', 'inverse': False}]}} (DictItem)\n annotations: (StringItem)\n _dxdyg:\n is_uniform_coords: ☑ (BoolItem)\n _origin:\n x0: 0.0 (FloatItem)\n y0: 0.0 (FloatItem)\n _pixel_spacing:\n dx: 1.0 (FloatItem)\n dy: 1.0 (FloatItem)\n _boundaries:\n xmin: - (FloatItem)\n xmax: - (FloatItem)\n ymin: - (FloatItem)\n ymax: - (FloatItem)\n _coordsg:\n xcoords: = [] (FloatArrayItem)\n ycoords: = [] (FloatArrayItem)\n _unitsg:\n title: Gaussian Filter Result (sigma=5.0) (StringItem)\n _tabs_u:\n _unitsx:\n xlabel: (StringItem)\n xunit: (StringItem)\n _unitsy:\n ylabel: (StringItem)\n yunit: (StringItem)\n _unitsz:\n zlabel: (StringItem)\n zunit: (StringItem)\n _scalesg:\n autoscale: ☑ (BoolItem)\n _tabs_b:\n _boundsx:\n xscalelog: ☐ (BoolItem)\n xscalemin: - (FloatItem)\n xscalemax: - (FloatItem)\n _boundsy:\n yscalelog: ☐ (BoolItem)\n yscalemin: - (FloatItem)\n yscalemax: - (FloatItem)\n _boundsz:\n zscalemin: - (FloatItem)\n zscalemax: - (FloatItem)" }, "metadata": {} } ], "execution_count": 2 }, { "id": "59dfeb34-8c97-4308-b2c6-20fb7d9ae2bb", "cell_type": "code", "source": "from sigima import viz\nviz.view_images([img, result])", "metadata": { "trusted": true }, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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nOPnkk1kcXddx7rnnYunSpbjnnnswe/ZsbNmyBQ888ABWrVqFVatWwW63G17/jTfewM0334zbbrsNf/jDH2AymbBv3z7s2LEDQNj4O/vss/Hss8/iF7/4Bcxmc+e5Tz75JNLT03Heeef1zM0LgiAIwg8gGAzi888/x6RJk5CWltbl84qLizF8+HBceumlSEhIQFVVFZ555hlMnjwZO3bs+M4VOoe73oIFCzB79my8+OKLiIuLQ0VFBT7++GP4fD5EREQc8Xl8tPJ6/fXXY8GCBVi0aBHKysrw85//HFdeeSU+++yzLt1LMBhEIBDoDGuaRmyDw/H222/jwgsvRGxsbKcL/kH7pL29HSeeeCLKy8vxq1/9CmPGjMH27dtx//33Y+vWrViyZAmZVHnnnXfw5Zdf4v7770dqaiqSk5O7lIdvU1RUhLi4OAwaNKjz2E9+8hO8/PLL+NnPfoZHH30UjY2NeOihhzBjxgxs3rwZKSkpcLvdmDdvHgYPHoynnnoKKSkpqK6uxueff47W1tZu50Pl6aefxo033oj9+/fj7bff7tI5H374IZKTk9lK9KuuugobNmzA7373OwwbNgzNzc3YsGEDGhoavvNaoVAIZ511FtatW4cHH3yw09Xy9NNP/85zLr74Ylx55ZX4yU9+gsWLF+Oxxx6D3+/HkiVLcPPNN+Ouu+7CokWLcPfdd2Po0KE4//zzAYSlHRobG3HXXXchIyMDPp8PS5Yswfnnn4+XXnoJP/rRjzrTCAaD0HX9iGVhMplgMtH1FMuXL0d0dDQ8Hg/y8/Nx3XXXYeHChUdsu9u2bQMAjB49mhxPS0tDUlJS598PMnHiRERFReHDDz80tNkFYaAiE0qCMIC56aab8Je//AV333031qxZw75Sffrpp/jkk0/w2GOP4ec//zkAYN68ecjKysIll1yCv//977jhhhsMr/3VV18hLi4Of/3rXzuPnXLKKSTOz372M5x00kl4//33ce655wIAKisr8fbbb+O+++6DxSJDjCD0F3pr+9uBvPWtcPxQX1+Pjo4O5OTksL+pL6dms7nz+XrhhRfiwgsvJHHPPPNMpKSkYNGiRfjZz37WrXysX78eHo8Hjz/+OHFfv/zyyzv/35XnsRHdzevpp59O0mhsbMQvfvELVFdXIzU19YjpqXEyMjI6V+UcifHjx8PpdBq67v31r3/Fli1b8PXXX2PSpEkAwvefkZGBCy+8EB9//DHmz5/fGb+trQ1bt25FfHx8l9IG0DkRVl9fj2eeeQbr1q3Ds88+2zmpsHr1avzf//0f/vjHP+KOO+7oPG/27NkYNmwY/vSnP+HRRx/Frl270NDQgBdeeAHnnHNOZ7yLL764y3k5HKNGjUJcXBzsdnuX3bRWrVqFCRMmsONfffUVrr/+emIHfjvPRnz88cdYsWIFnnnmmU7h6nnz5sFms+Gee+4xPOfGG2/sLLO5c+fi008/xZNPPom33nqr88PjnDlz8MEHH+D111/vnFCKjY3FSy+91HmdYDCIU045BU1NTfjzn/9MJpROOeUULFu27IhlcfXVV5OVYQsWLMCkSZOQl5eHpqYmvPnmm7jrrruwadOmI2qUNjQ0wG63G7oRJiQksIk5s9mMsWPH4quvvjpiPoX+QW/ZTQfTGqiIy5sgDGBsNht++9vfYt26dfjXv/7F/n7wq6IqcHnRRRchMjISS5cu/c5rT5kyBc3Nzbjsssvw7rvvor6+nsWZM2cOxo4di6eeeqrz2LPPPgtN03DjjTd+z7sSBEEQhL5j4sSJsFqtnb8//vGPnX9ra2vrXElhsVhgsVgQFRUFt9uNnTt3djutcePGwWaz4cYbb8Qrr7zC3KeArj2PjehuXs8++2wSHjNmDAAY7ihrxJIlS7B27drO30cffdSl847EBx98gMLCQowbNw6BQKDzd9pppxm60p188sndmkzavn17Z12npaXhoYcewj333IOf/OQnJA+apuHKK68keUhNTcXYsWM78zB06FDEx8fj7rvvxrPPPnvEVWS9QWVlpeEqrSlTpuDll1/Gb3/7W6xevZrtTGbEwUkbdYLssssu+85zzjzzTBIeOXIkNE0jk4AWiwVDhw5lbe3NN9/EzJkzERUVBYvFAqvVihdeeIG13+eee460ve/6qe6ETz31FK699lqccMIJOOecc/Daa6/h1ltvxWuvvYaNGzcesTwO525o9Lfk5GRUVFQc8bqCMJCQCSVBGOBceumlmDBhAn79618zY6ChoQEWi4Us2QbCD7nU1NTDLmu+6qqr8OKLL6KkpAQXXHABkpOTMXXqVCxevJjE+9nPfoalS5di9+7d8Pv9+L//+z9ceOGFXfqaKQhC7xHUTb32E4T+TlJSEpxOp+FkyaJFi7B27Vq899577G+XX345nnzySVx//fX45JNPsGbNGqxduxaDBg1CR0dHt/ORl5eHJUuWIDk5Gbfccgvy8vKQl5eHv/zlL51xuvo8/qF5TUxMJOGDLmddva+xY8di0qRJnb+DE1I/lJqaGmzZsoVM8lmtVkRHR0PXdTbB1h0XRiBcB2vXrsWaNWvw5ptvYuzYsXjkkUfwxhtvkDzouo6UlBSWj9WrV3fmITY2FsuWLcO4cePwq1/9CgUFBUhPT8cDDzzQpQmbnqCjo8NQWPyf//wnrr76ajz//POYPn06EhIS8KMf/QjV1dXfea2DdmVCQgI5frhd0dS4NpsNERERLE82mw0ej6cz/NZbb+Hiiy9GRkYGXnvtNaxatQpr167Fj3/8YxIPCE/kjRs37oi/7Ozs78znQa688koA4VVphyMxMREej4donR2ksbGR3TcAOByO7zVOCH1Db9pNA9l2En8UQRjgaJqGRx99FPPmzWPb2yYmJiIQCKCuro5MKum6jurqakyePPmw17722mtx7bXXwu12Y/ny5XjggQdw5plnYs+ePZ1uApdffjnuvvtuPPXUU5g2bRqqq6txyy23HP0bFQRBEISjhNlsxsknn4xPP/0UVVVVZBLioNbMt4WzAaClpQUffPABHnjgAfzyl7/sPH5Q6+XbHHxZ9nq9RKvQaHXR7NmzMXv2bASDQaxbtw5/+9vfsHDhQqSkpODSSy8F0LXn8ffNa3/n4OTfiy+++J1//zbd3UHL4XB0utJNnjwZJ510EgoKCrBw4UKceeaZiIqKQlJSEjRNw5dffmmoPfntY6NHj8Ybb7wBXdexZcsWvPzyy3jooYfgdDrxy1/+krSNb3O4j3w/hKSkJMM6T0pKwp///Gf8+c9/RmlpKd577z388pe/RG1tLT7++GPDax20K9UJk8NNQn1fXnvtNQwePBj//Oc/SZ2q5QZ8f5c3Iw66u6paSyoHtZO2bt2KqVOndh6vrq5GfX09CgsL2TmNjY3d1lkThP7OwJ0KEwShk7lz52LevHl46KGH0NbW1nn8oMbCa6+9RuL/5z//gdvt7pIGAwBERkZi/vz5+PWvfw2fz4ft27d3/s3hcHQu1f/Tn/6EcePGYebMmUfhrgRBOJqEoCEEUy/8Bq4OgHB8cc899yAYDOKmm27q0uoRTdOg6zqbUHj++ecRDAbJsYM7Y23ZsoUcf//997/z+mazGVOnTu10I9+wYQOLc7jn8ffNa3/Bbrcbrt4488wzsX//fiQmJpIVUAd/6i5kP5TExET8/ve/R01NDf72t7915kHXdVRUVBjmQRVmBsJ1MHbsWDzxxBOIi4vrrM+UlBQ4HA7WNrq6e9l3ldN3MWLECOzfv/+wcbKzs3Hrrbdi3rx5hu3uICeeeCKA8Oqmb/Pt1VxHC03TYLPZyGRSdXW1YTl9X5c3I/7+978DwBE1qk4//XQ4HA42QXVw18SD2qLf5sCBA0wcXei/9J7dNLBtJ1mhJAjHCI8++igmTpyI2tpaFBQUAAgLJZ522mm4++674XK5MHPmzM5d3saPH8+2kP02N9xwA5xOJ2bOnIm0tDRUV1fjkUceQWxsLFvZdPPNN+Oxxx7D+vXr8fzzz/fofQqCIAjC0WDmzJl46qmncNttt2HChAm48cYbUVBQAJPJhKqqKvznP/8BAMTExHT+e8IJJ+Dxxx9HUlIScnNzsWzZMrzwwguIi4sj1z7jjDOQkJCA6667Dg899BAsFgtefvlllJWVkXjPPvssPvvsMyxYsADZ2dnweDydK3Hmzp0LoHvP44N0J6/9hYMre/75z39iyJAhcDgcGD16NBYuXIj//Oc/OOGEE/D//t//w5gxYxAKhVBaWopPP/0Ud955J1khcjT40Y9+hD/96U/4wx/+gFtuuQUzZ87EjTfeiGuvvRbr1q3DCSecgMjISFRVVWHFihUYPXo0fvrTn+KDDz7A008/jXPPPRdDhgyBrut466230NzcjHnz5gFApxbTiy++iLy8PIwdOxZr1qzBokWLulxOb731Fp555hlMnDgRJpOpc4WVEXPmzMFDDz2E9vZ2REREAAivYDvppJNw+eWXY8SIEYiOjsbatWvx8ccfd4piG3H66adj5syZuPPOO+FyuTBx4kSsWrWqcxLmSKt6usOZZ56Jt956CzfffDMuvPBClJWV4X/+53+QlpaGvXv3krjDhw/v9vUXLVqEt956CwsWLEBOTg6am5vx5ptv4o033sA111xDRPKXLVuGU045Bffffz/uv/9+AGFXvnvvvRf33XcfEhIScOqpp3ZOWl1//fVs4qihoQF79+7Fbbfd9j1KQxD6LzKhJAjHCOPHj8dll11GDBJN0/DOO+/gwQcfxEsvvYTf/e53SEpKwlVXXYWHH37YcNn2QWbPno2XX34Z//rXv9DU1ISkpCTMmjULf//735kmU0ZGBmbNmoUtW7aQnWkEQRAEoT9z0003Yfr06fjLX/6CJ554ApWVldA0DZmZmZgxYwaWLl1KtvhetGgRbr/9dvziF79AIBDAzJkzsXjxYixYsIBcNyYmBh9//DEWLlyIK6+8EnFxcbj++usxf/58XH/99Z3xxo0bh08//RQPPPAAqqurERUVhcLCQrz33ns49dRTAXTvefxtuprX/sJvfvMbVFVV4YYbbkBraytycnJQXFyMyMhIfPnll/j973+P//3f/0VRURGcTieys7Mxd+7co75CCQhPjPz+97/HggUL8Oc//xn3338/nnvuOUybNg3PPfccnn76aYRCIaSnp2PmzJmYMmUKACA/Px9xcXF47LHHUFlZCZvNhuHDh+Pll1/G1Vdf3Xn9g0Lvjz32GNra2nDyySfjgw8+6NK93H777di+fTt+9atfoaWlBbquk10JVS6//HI88MAD+PDDD3HRRRcBCK8unzp1Kl599VUUFxfD7/cjOzsbd999N37xi18ctlzef/993Hnnnfj9738Pn8+HmTNn4rXXXsO0adOO6mTltddei9raWjz77LN48cUXMWTIEPzyl79EeXk5fvOb3/zg6w8ZMgTNzc341a9+hYaGBlitVhQUFODpp58mguxA2A0uGAwiFAqR47/+9a8RHR2Np556Cn/4wx+QmpqKX/7yl/j1r3/N0nv33XdhtVqP2o5/gtBf0PTDjUCCIAhdoLa2Fjk5Objtttvw2GOP9XV2BEH4Fi6XC7GxsXhvSx4io809np67NYizx+xHS0tL58oOQRAEoe8466yzEAgE8N///rdHrr9o0SJcccUV+OqrrzBjxoweSWOgM3v2bGRnZ+P111/v66wIR6C37SZgYNtOskJJEITvTXl5OQ4cOIDHH38cJpMJt99+e19nSRAEQRAEQfgWjzzyCMaPH4+1a9cecUOWI/GPf/wDFRUVGD16NEwmE1avXo3HH38cJ5xwgkwmfQfLly/H2rVr8corr/R1VgThqCMTSoIgfG+ef/55PPTQQ8jNzcXrr7+OjIyMvs6SIAjfQW9tSxuUhc+CIAj9isLCQrz00ktHZTe26OhovPHGG/jtb38Lt9uNtLQ0XHPNNfjtb397FHJ6bNLQ0IC///3vGDJkSF9nRegGvWU3hdMauLaTuLwJgiAIwjHMwaXbb2/O7zWXt/PG7h2Qy7YFQRAEQTi+6W27CRjYtpOsUBIEQRCE44Dw9rc9vy3tQN76VhAEQRAEAeg9u+lgWgOV3lnDJQiCIAiCIAiCIAiCIBwz9NiE0tNPP43BgwfD4XBg4sSJ+PLLL3sqKUEQBEEQjkAIJgR74ReSb1XfC7GbBEEQBKH/0Ft200C3nXrE5e2f//wnFi5ciKeffhozZ87Ec889h/nz52PHjh3Izs4+7LmhUAiVlZWIjo6Gpg3cpV+CIAiCYISu62htbUV6ejpMpoFrQAhHjx9iNwFiOwmCIAjHNmI79V96RJR76tSpmDBhAp555pnOYyNHjsS5556LRx555LDnlpeXIysr62hnSRAEQRD6FWVlZcjMzOzxdA6KS765eQQiekFcsr01iIvG7hqQwpJ9xQ+xmwCxnQRBEITjg96wnXrbbgIGtu101Fco+Xw+rF+/Hr/85S/J8VNPPRUrV65k8b1eL7xeb2f44PzWTSeeB7vFCgDw5ATYeZFRHnqdoigWZ8LEvST8dTHfqtGpXMdhpWk11/IKHZJNt9wsd8WxOOosnc9lJ2F7LZ9Z9amXifHz63poo45JdLM4roZIEtYcQRKOjqT3DACu5ggSnpp7gMXZUEs7b6DeSfNmD7FzVDQbjxMd3UHC3u3R/Lzh7SScG9NIwrtrU9g5allpEbwdaY02Eg5F8PxpHlpXsRktJNzSRssOABJi2ki4dUc8ixO0K+FomnbUAd5G3Lm0Zc0etovFWV40jIS1dj4QakpRpOXXk3BlSRI7R7ceuX75SfyQpZXeV0C5b5PH4KtDoo/GqbKxKIEYeh1zO72O0a6fZtqsEOBND4imhaWZgyxKqMNKwoXZZSS8vYivMNCVvhC5n9dTcAzNoLdWaWtRvE3Dq1zHz1cr6BH0HjT1HACJGU0k3FhM27BuM6hcNSmjtJ1KOzJoVs5YOiYEiuiYFjeS9n8AsJnphSwar6faNvqc8LTTTpiU4GLnRFroOFxSxMeaEwt2kPAXe0ewOCbnobry+fx48eUPER1t1OB6jt7a/nYgb33bF3TXbgK+23a6dfIh26k1j3cuazQdS817HSzOiBlFJLx5by6LY4qh17FaaX/zVfPnYkZeHQlXNMWyOKzlNNOxPsJgx3NPAg0HY478HLcN6mBxfEewaWzRXqj4G+k5Y4YWsThbqqntZKqlz4uQYgsYYWRf2WJofmybnSxOewGtp+x4Oq4XVwxi56jP4FAkH0ut9fSZEeAmOMxKEVuy6PPM4+JtLyqOxglt4RdWbSef0ozi9/Kyas6j9zSpYB+Ls3ZvHgmb3fz5pSlmecxIWp7NB7itF7KyQ0dEMxhCrdT0hF+5b9WeAQB/Mq07Rzl/1qvvHhZqvhraThalbn0G776qTQsDG1Jz09fQIUOqSLhobxo7R7fTwonjZjBaJik2YzVtNKrdCfB2b+KvYAhG0LRNXt5GIrJaSdiznz7n1fYLgNlOxmkrBwxsJ1OcMibso4nZRnMbx2yiF7Ka+IXrW6kNFnTTRh2TxN9FnVZ6E/V7E1icSePoe/qaHfkszrftVZ/Pj5cXvdertlNv2U3htAau7XTUJ5Tq6+sRDAaRkkKN7pSUFFRXc0vgkUcewW9+8xt23G6xwm4JGxIhG++wdrvygLPyF8wIBx04bTY+qqvXsVtpWkbnOB202OxeHoc1CeU6dqvBbKf6gsZvCXqInme387TVPGs22hFY2Rmco5adUVpm5ZyQwWSRitGEkt2uvBQb1KVmpwOTWgdG9aSWlcmgHWlWel7QIH+moFp+9Bybj6ftUOL4DO4paKX1HVDStlv4AOZX2ohRPallYfIbTCgpReGwd6E8j9KEktWq1gttj+agwcCt3LfJoDzV61j8XZhQUvq7yWiSRGk3JoN6CQZpeXWpfbL6NphQUvu30l51gzYNXZlINdg1IqSMCZrO01bbsN2q9vcjTygZp33kCSV1TDAr9a3mDQBsykSfxcDtx+5X7iFAw0bXdSj91Kguu/KsMRuNP+KaJKD7dhNwJNsp3P68Bs8zm/IypvYtoGvjl1m5jtWqjClWo+eiYjsZjYvqAdV2MrBadeUy6rMU4M9xm2p3GKTFxmiDSR3NdvixH+Dlp5Z5yHrklwgj+0rNj83CyzOojNOOrtStUlZBG3/m2az0OkbPTkuAjm8WxY4LGdrkyhhtdE/Kc1tT0rabDcpKaZ9dsZ0sPn7f6oh9pOckcBQnlFR7xar2ZYNnjI22c7uVt09NuY5FuY7hhJIy4aFeAzDoh0YTSn6aH/Z+ZVSean0bjAl2++FtRtVeBHi7NxnYL+o9mUNG76fKOKKkrdr+APiEkmHaynkGtpOZjQk0bZuBjWNhE0q8bOzKe05AsaWM3kVV28moLtV+aPRMUO1VQGyn/kiPTbmpla3rumEDuOeee9DS0tL5KysrY3EEQRAEQfhhhL4RfeyNn9B9umo3AWI7CYIgCEJP05t200C2nY76CqWkpCSYzWb2Va22tpZ9fQMAu90Ou52v//NHAqZvJipNTTybvkq63C1jfBWLs3rzcHpAdbUA0FFP1xDGZlFXClsDr9yyhDgSDnVhhZrJS6/jj+YnmZQPZnozn6nNGEJdk2p28uXKygcJBO00bZfLYJa4mhqtXwX5skP106E9ma55DYUMVtR00LozN/C6bPEpLnqJvGw0ZRXYjv2K76yTz6irSzBdTZEsjqZ8nDV18HtIU8q8wU2vo/sM3IUcNO26ZL60f0R2JQnvKk0n4VPPXsPO+XDpVBJe5ilgcdSPc8Eo3u4z0mk7L69V3Zn4OckpdL11XUUci2ONp+6UQYPVRnGp9Dr1ynVGjOQvRru3Um0Qfzyv75SUZhKuqaHXjUtU1nEDaN9F6yUihS/bbW9Txqc6Pl5pytewbTW0LvNy+CqD4ka6/Dc4nrtTeBoUFwzFJTN6J+9PbUNoXvRYvnbaVkEbfiCK97mWDuqOEJdL663Zzd0VdOVrnT2BrwLwKq4wthb+wtxho2XsyKP10mCwdFr9oBeVy5d2+xXX6Nh8ek9N2xLZOcOnU3e2IhN/ji3ZN5KEC3IqWJxvt2HNwBVQOH7prt0EfLft5IsCtG9WGNga+LPJWkr7bczUehZn61rq+mNy8vFBr1X6qDI+mPhlUT6Ijrch/cj9wOyhcZg0ALh7iLWJ33fsMOqa1LaFuyY5leEqoHw9D7Zwl7JYpatvCnBpBdWDJJRK3XF0o8W/7cpKjTp+T34vzU+Qm4MIKjZYyc5UGiGSJ25OUWy7Bn7f6sonSxuvy5jhzSTc1Eqvo/m5fZDgpH5bpenc5S1nMO0nJQdoH5l26WZ2zvIPxpPwOs9wFkddQBMwsNPjhip2UDVt05qBO1N0GnWBcpdxdx09kTbiYICXZ0QGta/8pbRsMsfx96DKddRlzGNgX8ek0/y5qmj+7IMMfOm2KvZ0Ordf0Kqs5q82WG2mjC17KmldZgzlA0llXRwJt0zl9iCU8SmguKolbuGnNCuvPf44ft2IUtoP/Qaunm2KK70zj9qePtWmBAB1pZOD206WSjp225t4XbapqyyH0XoJ7uTvIipaPreDrfto2pYRtE34N3Kfx+w51J2t1sTtq5U7qUTH4KHcVv52G9b838NTQugVjvpUmM1mw8SJE7F48WJyfPHixZgxY8bRTk4QBEEQhC4Q1LVe+wldR+wmQRAEQeh/9KbdNJBtp6O+QgkA7rjjDlx11VWYNGkSpk+fjv/93/9FaWkpbrrppp5IThAEQRAEYcAidpMgCIIgCAORHplQuuSSS9DQ0ICHHnoIVVVVKCwsxEcffYScnJyeSE4QBEEQhCMQhAnBXvDRDxqp8QuHRewmQRAEQehf9JbdFE5r4NpOPTKhBAA333wzbr755p66vCAIgiAIwjGD2E2CIAiCIAw0emxC6YcSM7S5czvOpuI49nd/DJ3FK6riaoRZ+XUk7P4kicXxzqbCYrX7qGhY1nguEFZSkkzC1iaDbcQVATh1cjNktM1lA/WdtLn5TGVVPBU+0x08jlURyzbvpyK4wSguNJd/YikJ727kQqBeD830lOQSEl65ZQQ7JyaTiv21+riCXXSCgeCfmvYeKhKolu+QwbXsnCq3IhJnNPGr6LtFZbSyKBWVVADY5FEqM5qL5+2upMKXZjdvI3t3UmHxSEV78C3bBHZOzmTaHhs/5/Xkm0Tr36EqggKoqFBEjZXsGeW3VhGfhMHWp5NTaDsyGRR6hSeOhIeN3EPCK4upICwAQBGNVgXNAWBvLe2XMNFzQqu4aGD87AYSVoW8jcjM522tXdl+3r2Blu/JeTvZOS9uP5mEA0HuO23OoiKcphIqjBicxIXGHYo6tc/HBxt/BhUANRlss+xto8LdquA2DHy9Q4pAvbaPi0/qg2naegoXDbfvoWOWh2qy45RJ29g5qz8pJOF2LxefVDfMam6k41H8yGZ+3VWj6IEMH4ujlkSth49zicMOCeF7vPyee4OQbkLIaA/oo57OwP3KNtCxjGyD5Rvbybefi/9642hrrVafBQCSRtJNG0xv8/bccCodM9w740g4fgodWwHAc4Cm5WzgY0iAdn3oihZ1yMLbllMZkm0uPp7VJ9KysHCdaSaW7dhDx0CDbo3k0+izqLWO25mqMPbkdPqc3LxuKL9wDrWLAl6eYUuShx1TidhBz1PLN304r6caF283KppSxKZcbsc1ldIx2Oyl9R2I5vVUUk7Lz2Yg9l25mdpXsTW0TXxoG8vOSZmpbLjz3zgWp3kGteVMJt7WWpR70pT2aW3l+W3TaXnqNhYFE9LpZiRGtlN5exwJDxtLG/76fbnsHLMiLJ5tYCuXVNP3Hk2j50R+zjfgCMyjm150VPE2o1wGcQWNLE6Hsh29tpp2snkjtrNz3tg0h54T5GLfnhz6jHUeoHFaZnThGezhtlN7lvL+ZDAeaW00rXbVdlLDADRl46bIndx2cg2jaQdT+btc1E6adlsuvYcZM7gtuu0d+u7m9fINjFQjx1NPxxXHaC7kvfULqnIezDYQT1eKr87NB1lHwSEhfM3rBz7hl+lJestuCqc1cG2ngbs/nSAIgiAIgiAIgiAIgtAnyISSIAiCIAiCIAiCIAiC0C36rcubIAiCIAhHDxHlFgRBEARB6Boiyt01+u2EUnNpHOzWsC9oznCuY1RUQ/2sTWZeCUk26tPZdhJ3XG6vproqU8bsI+GvSwazcxz1tGF50rhfqBagDqdmNw1rBnop6VOqSFi9RwBIjaMaPw0VBrpQLdT3Nq2QivMk2Lmv+7YduSRs8vH8RSt+6l/b6e4z1lSq3QMA7jLqV60lcr/lOCc9r6KRa59EtNG021JomZetyWDneDIVf3gHrydzFM2PbyfX2VF90EOKdlBEkYH/9iDlHDtvn5Y2pR0l0Ti6nw9gJXWK3kUhL09LiJ6n74tgcbR0et6sXNruNzZQfScACG6jdek3cLNW9Y/SBzWzONX7aJs9EEG1j9JSm9g5bj/tu/u28fzlF5bzDH2LySOL2bHX180iYdsgrknhb6L6ATUGPt6eZhrHNJRqcWxuz2bnxOfT++xYFc/ihNz0ut7hNH8BLx/TIrfS9ujnMltwNil6bRNaWByXTtMOBKhYhM7lL2BpUuLwYQTR2+hjJzDFy+L4ImlfsNTSe1raRvWSAMAxjo5roVLe7oODFF0FJw0HgoogBgB/LM2LqYn3d81Pb7TFQJdm/NS9nf/vMHPdNUE4Gvj2R0GzhseFROXZDwBVVco4Y2AnJzqo7VR8hoEWWiXtXyMmF5Pw1n18zIusoWF3Fn8umhSJMquqoWNgO0XNovfJ7hFAfALVm/OWxrE4HS20b9vG03ExxcFtp6LN1Paw8uEM8ZXU9ljvVMomnZ9kKVa0LxO5/ZIQQW2nujpuO0W6aBl3pNFw83KuP+rPVWwROx/sg1H0mGMz13jSY2ldBW30ujF7eV22p9IGGTSwnawuel57mmJfG9hOTB+RS1RCU2yniF38FcmdTe978tAiEt5Uy22TqI20//ii+X2r+kcJyVzPs21PHAnXOKn2UVwm1TUCgHZFo6h6EzcIcsbRjqlqKE0ZS+8RAN5eOZ0eSObaguYGmnaDixuNehO1YULDafludPNdLq0jaNlYl/Hr2ly07lpUW7mdP8cTN9FwWzq3B5z1tGw80/h7j0cVyfKrQnDsFNgblTarClABSNpAw82z+YX8kbRtOato2qtcXOtWV2ww6wGumeVR9JrMTmrDBIO8z4Xi6D3Y6nl5mpRqCZZxLa7BJxR3/r/DKrZTf0Vc3gRBEAThOCAEIKhrPf4zsJcFQRAEQRAGFL1lN30f22n58uU466yzkJ6eDk3T8M4775C/a5pm+Hv88cc748yZM4f9/dJLL+12OcmEkiAIgiAIgiAIgiAIwgDA7XZj7NixePLJJw3/XlVVRX4vvvgiNE3DBRdcQOLdcMMNJN5zzz3X7bz0W5c3QRAEQRCOHiGYEOqF70i9kYYgCIIgCEJP0lt208G0usP8+fMxf/787/x7amoqCb/77rs46aSTMGTIEHI8IiKCxe0uYvUJgiAIgiAIgiAIgiD0IS6Xi/y8XgNxvm5SU1ODDz/8ENdddx372+uvv46kpCQUFBTgrrvuQmsr13A7Ev12hZKe4MdBXbOiai48nZtCRRjLt6exON5kenvNLi7SalOE0IY5qQD43nguWNheGUfC5jY+L5c4hAruegM0Lx27ufizy0uF0KxVXDSu1kIFy/LGVbA4e6uoyHH9Llp+ztFU/BsAglFUcM1ewpuGa4Ti3emmwnM/L/yEnfOPyCkkXF7FxWrLS2j+EtMNBIJjFKHx5GYSbormgpAR26hQnyp6DQDmFipgpwrEAYCmHNMVMUq9kIvyWRU14kCAtxG7IhDsrqf5TVzP89I0krYJRz0Xd4ydTPtGdRwXVI3cS+t3ZQsV6lNFhgEgqJQfE0sFEPRS0b2aXbzvmjMU4WtFzK9uDxWaBAxE7A2mwvdtp2KYFkUIf18EF8vMGUn7e8VWPo44B1MxV2znotwWRSw7wk4FKrc28Ot21NPxyBpnoGCtEOmg1w1s5uNI6zDalzUPL6yOVEWotZJfBxalv4SUvhLDRTgnjlc2NSgawuJ4fEp+6g2EOpU+BqVoLC0G96QIo08cf4DF2bCb5qfDp4hEGmywoUVSEUi7gQi/TxHuzx7Px9h1VYeEeL0+PwCDDt7DBHUTgnov7PLWC2kIxviTQtBs4TGgqpKLU6elUdukaaPBxh7p9PmgbjoAAJF1NDwqopKE9yZy2wllypjn4mOeI58KC6u2k3k7t+NavfQZF1HOxV+bLHTczplSw+KUlNOy8GylIteeCdxACMTQsSrCQGi6YYzSH1ppnP834WN2zt+jqehxQ3kci9O4n9ZvVHYbi+ONozZjXBq1r1wx3HaK2Uhtu/YUA/uliR4zsp1UgXW/Mk62jecn6epjx8B2MimbsoRqaP2nfsVfvurH0jbsrDOwB2fSl6jWRC5yHr+D1t3mxqH0Ggaawe3JijixwbuauYPeZ/v2OBbHn0ULVFdsJ892nl+zouWu867BhLqtyiY470bxlQtJo6md2byejyP+YdQuitzIbdHWQlpgNgdtE9true2k19Lr2BOObDvZlA04nGt4u28cRcPmDt5G2tT9f8r4dczK65OmmDOBOC6wP2xqMQlv3cPFyE1epS/U8PL0xyiC+krR2Jt5Wfka6XWGTi1hcXZuoxsJhJQNYdR+CwChaHrjMXt4X/Ypwv3xU+tYnC2lh2x3n89goOlhestuOpgWAGRlZZHjDzzwAB588MEfdO1XXnkF0dHROP/888nxK664AoMHD0Zqaiq2bduGe+65B5s3b8bixYu7df1+O6EkCIIgCIIgCIIgCIJwPFBWVoaYmEMfeu12PnnYXV588UVcccUVcDjo5PoNN9zQ+f/CwkLk5+dj0qRJ2LBhAyZMMNgO8zuQz4iCIAiCIAiCIAiCIAh9SExMDPn90AmlL7/8Ert378b1119/xLgTJkyA1WrF3r17u5WGrFASBEEQhOOAEDSEVP/BHkpHEARBEARhINNbdtPBtHqCF154ARMnTsTYsWOPGHf79u3w+/1IS+Pupoej304oRTk9sNvDfqatVdHs71Vr6Y36s7jjclU7PU8zWI91wqwtJLyoaDIJh1zUTxQATIMVDZg6PnPYuIf6tgdiqS9p7HCqEwAAbYoOQOSIZhanuYZqnezp4L7N1kbqJG1V/LVd71CNJQCwzqF+qaECro/i1KiTrKedls1TJSeyc9qbqX+xxUBvKqgUcSDE4xRMLCLhTfupf/G4PO7zu2e0ouHg4donwQ5a5p4M3o40RfNlVCbVR6n3cg0Yv+Lb7t4fx+KEFM0sDKFl7hrC254eTetJb+D3VFVF215ELR+g3CNoWukJVFehaTXXv0gYSX3mKxrieP6UsrJkc30pr0E9fBurgX7TkbQYACAqlzZ0VwttewnxbnZOyT7af0JJvP7tJkX3YQjvG1GbaDtqG03vYWQy1+tISS4m4eXrC1gck1IWrgba1rQ8A39yVaPIgNTsBhKubeFjbFDRF9JU//163j7L4+LoOTauFQBF08mR3M6i+MqpTkrh6GIS3rluMDvH2kLzu35fLoujqc1GCat9HQDscXS8t4/j7ai9keqz7Kvm/UczH0pMD8mEi9Az2KK8sNvD9kbQQN+jtYhq1HlzQyxOdZuiqWYwpEyYu4uE39hDbSdzCzcvg/mKXkqNgR7ZDpq2L17Rnyng44W3g45FtkLeR82VdEwp7eB2kFPRJLQ3KwPE61y/CfPpGNc2npenSXmGBN30vv+6/2R2TqiBPlNsrXzMCNrpdY1sp9wZZSS8dyfVEswfWc7O2TeRjl+BDl6XFuWYO9vgvhUpo5zcWhJu8vDy9AboOG7ezeOYPTRt13CadtNwrvnlV3RrnPW8rJorqAZRdCWLgqZCWuYJSc0kHPqS6xhZRtM49bVcs1B99vhzuQ6UblAP38ZIx8rspfn1xvJ2pOXRPtXWrGiSxXM7rn431UwKpPD6tyrt3jWMx0lcS++7YTxNe0gGbTMAkJpG35/WrxrO4pgVMy1QS8fCFlUTFsbPf5WoITTt5iZu/6u2kslDy9xWw+uxPD6OhHWbQf4U20lP5W3EUkLbfu4EqrNbvlIVgQJsTTR/O3dmsziq7aTqQqk2OgBo8XS890/h9rW3gdZLZTnXUMW3bCdVy/N4p62tDfv2HdIuLSoqwqZNm5CQkIDs7HA9ulwuvPnmm/jjH//Izt+/fz9ef/11nHHGGUhKSsKOHTtw5513Yvz48Zg5c2a38tJvJ5QEQRAEQTh6iCi3IAiCIAhC1+gLUe6usm7dOpx00kmd4TvuuAMAcPXVV+Pll18GALzxxhvQdR2XXXYZO99ms2Hp0qX4y1/+gra2NmRlZWHBggV44IEHYDYbKPgfBplQEgRBEARBEARBEARBGADMmTMHutEWe9/ixhtvxI033mj4t6ysLCxbtuyo5EUmlARBEAThOCAIE4K9sBdHb6QhCIIgCILQk/SW3XQwrYHKwM25IAiCIAiCIAiCIAiC0Cf02xVKrU2R8NrCwoVTR+5jf9/ZnELC3lYuPuneHUfCehpXDVu8mwvhEsx8KZkqqBqKNBAj7KBzdapIW0szFxpUBddMSfy6tngqEBvr9LA4dTYqsKubqACkdwQXRrOaqWCh32cgqKkIIULR2w1UUWFaAJgzfTsJr67NZXFCXpq/5jp+nU0uWl5RRbQONgX4dZ11Sj1lcIHgmHwqRh1p422k7XMqPliUkEDCoxKr2TmqIHDiqGYWp0ER8rXUKwKlvPphbqJ1EDTaSVJps55E3obNdTSt6kZ6j6FMnvjQKCqOqDGFY6BqJxXz9DsNxDyt9NpBRdTel8DrydJK+0YwiufPVamI8CtRWhq4WGb8UFr/HQbtvq2VihymD2pmcWrG0bRDiujq/tVc5HC/qi0YwcszblQjCTdvp23P4uY+zp7hVKhxWDYXtSxtocLtMBm0kVZ67ZAisGhq44K6FVU0f0ai3EPzqNLp/r3pLE5kdhsJb6ulmzBoVp5fk48WqBY0+F6i3GfUARqnnWcFw+Np+al5AYDIIlpW3ngWhQishwzEU3uDkK4hpPfCLm+9kIZgjL/eCe0b22n0WL5Zxe5GKkatt/CHiLZdEZo1eHZ+tXUECau9zVAKQrGd/FG8H1s6aByzYuL4mrjgsqlduW6Kgd2WSDtdTCS3nVqs9L51E+3XzaP5RgRmxXYKevmYrHkUoWnFBLOV83saM2cPCa+tzGFxVJtMr+J25a5meu3EvfTBuC9ARboBIEIxadr44wv6CCrknGDntpP2X/pcLBsUR8IjB/HNKlRBYPNYLrDeWk/v016rbCBh4AFir6dxAka2k4mWTccgg00alLTa6uNIOJjNE58cU0fzZ5DB1i302emJMGhHilCzpVax7Q1sPauL9o2AQZ8zKeL9VvUdx8Amtw2nz+iQge3kUzY1SkxpZXEaJysbjbTR69R9wTceqtXoMY1nD5YxVDzbsZkKodtaDUTZC2j5Zg6pY3HKm+LoAQPbyapc2xdPxwhbK6/bpkrFPrVyGzd1ON0Yp2YH3/wDQ2i/3FNFx3sHH8Jg9iji/gZ7qehKluP20HNas3l5Dkmi+VXzAgBxu2lb6xjEbYdvC6ybjTLXw/SW3XQwrYGKrFASBEEQBEEQBEEQBEEQuoVMKAmCIAiCIAiCIAiCIAjdot+6vAmCIAiCcPQI9ZK4ZEi+VQmCIAiCMMDpLbvpYFoDlX47oWSL9sJuD/uQrts6lEcYRHVCzFbuV+mPUvzLA7yiTIq2USiSXmfhqMXsnL/smkvCjljuix9ooT7e8flNJNyyg/pLA4Alj/okB4Lcz9av+MzXugwcwVWXXsVfOyuhCSrt/04k4YgLG1ickmKqW2Vror6eRpoJX+yhOguWNoM6UFyFQ7Hcd3h0RgUJbzNTsRNTA9dzYdpBBq6pFiXxihoufhI3k/piJyg6Sy0+rt/liKPt02biulUWOz1mz6btyFOu6FiAawfZPLyNxCfQdtTcwbWDzB5aGL5Mqi+RmkC1hQBgTS3VcBiRwPUPyhWNhKRorn/Q5KZ9Q1dGIc2gn44Zd4CEN5ZxUQfV9fiUYTtIuMHHHe3rvPRYYzkvK2srvXBVaxKLY1N0CnInUp2gIgftXwAwJpXG2dvCr9usjBO2Vtqmx8ylOhsAsK2JavzsquCaP6qmR1RyG4vTlkDrwVxDne+NXL011e8/xCNVuamWgVq+ANDWTse17EQ6ZpW4eVlpdiVtIx2NEjpO2KY2k7DPw8fTnfVUr0EP8fYZMZnm78R4rl3z0f7Czv/7fXw8EISjQqwPmi3c+Hetz2V/9qXQsZ71WQC+aEUDMsD7qMlLjwWj6XVuHcdtp79tobaTKY7r7pibaB+0jqRjU3AL1eUBAN9w+uwMGuin6R10zHO18OsYyKEQkpNc7Jj1ZfoAC1zDBdLq99Fx3KGYV6o+CQCs2Z5P03HxOlCl5Lxx/Abys6gg0l5Ff8bWyK/boUid6EYae4rt1KhqwACwn9xBwnGKzlKTj2s+IYHGUfU9AQAORbdqMD1HL+GaVP5oeg9OD79vexLNb6Cd58+iNAF3Di2H+EFcJ2hdFbVXhiVxbZ66VFp+0TEdLE5bG70vXdHL1AyKKm9KKQlvL85gcXQT7S+zCnbSvBnZTh20/3hLuL0aobRZlyuOxYlsovcQO4Pq7lQ4uU0+IrOKhA80cnsgsIXaGfYWWk+Dzypi52yrp7ZSSSnX/DErem22NP7+51NsJ0cV7eBG70q6Og4bjEW1rbQebC08kruVjp+Dkqkt39DKyzOUbCDYqhC9n2bacwLVagp0cHGmvTWKxpOBbR+cRcf32YOKWZylOw9pHft8RxikhT6j304oCYIgCIJw9AjpJoQM1ZKPfjqCIAiCIAgDmd6ymw6mNVAZuDkXBEEQBEEQBEEQBEEQ+gRZoSQIgiAIxwFBaAga+f72QDqCIAiCIAgDmd6ymw6mNVDptxNKFlOoU9/GZ+M+k9EbqZ9o+3gvi6NibeS366yh124tpOG/7TuZnTMrZx8Jf7VtBIsTRd3W0ZBC/YtNqvM7AJPip54T3cji7C2n/u9mB9fi0JuoL2tA0TYorlD8WgFY5lK//yjNwE9VcbP1JlOHbXM7X/Cm2ZSTUrm+QKCD1ovmO/LCuZBf8VE20GGJGk11TeprYlgcXe28BpovgbX0vIrB9J4sUfyeLPupr3tDPouCIYlUSKHRQ/313VHcr9kcQdPyx/Kycu+Kowfi+XW8qs+0Up61+7nmj8lPy2aTl+tWReyhx1piuFaYnkH7ano29Zm3aDy/5e3U7zs1iWs8VVXROCs/G03C7RlcYEBta85krvnUbqcaWYU55SzOvibap8rXUo0vjctsYaOH6ipYIng7CkXSfpiwg2pFuIPcbx2rqLZB9DSujwSlK7S28Aw6o2k9+ay0bkMOPkZERVE9AVVnAwCa6xQ9hhReL+ZGmlaZFkfCE/OK2Tn1Hq7zoFJhozoVWVF0jHA7uIZSyVZal5bsdhanwUXH90/3jWNxMocfaucer2goCT2DyaTD9I22StDO+2jS13TMa5h6ZP0Mex1/zkRV0n5bP5H+/W/bT2HnTM6juiUbN3B9zKhy5brpdGxyGAx5mpK9jFj+fKgooTorupOPOxbFRvTH0PKrK+X6Izib9uVUjetCqY+0dkXWzsIfOwgpmnC+DIN6UnShVF0rgNs4WlDRgDHQYcEE+swIVRx5bFXtQwCIWEHtoKZhtC71aD4ORu6mdeAaxe8pM5mO200d9LruaD6O65E0LV8cfx+wbaPjuJ7Ay6adPg6gKbaTe08cO8eivJ7s8HBdw7jt9DreWK7xpefQe4gdQtu50fO2rI3mJyGZazw1K9qRmz+k7zRtXLISJrWZp/F3sA7leZqXV8XiFNUrtuYK2k8dEbz+d3dkkrBatwAQUpps/PpmEm4LcJ2tmM9pfl0ncX0kxNL8+Jt4WzPH0sIJ2Wk/NRqXbTG0/EwG8wr+atrO/VwOC7Z6mladiRp7BcPL2Dm1iu2kGaRdZ6PtMT+Gtj13BB+YG9ZTu9g3hI+Nrc30vefL3aNZnISC5s7/e73cThb6B/12QkkQBEEQhKOHaCgJgiAIgiB0DdFQ6hoDN+eCIAiCIAiCIAiCIAhCnyArlARBEAThOCCI3vHRN9i9WhAEQRAEYUDRW3bTwbQGKrJCSRAEQRAEQRAEQRAEQegW/XaFUlqUC05HOHt7ayPZ39vGUnEvIwGzc8euI+F3Nk9icVqHUHE0Sx0Vg7Vy/TqsCOWRsB7FBeHaxyvzjA1UuC0+n4oKAkBdvSL+vJmL8pmG0fsOdvAqVGcJE1PoTTRWxkJlSAIViG7xccE626AOEva6FDG6RC64lh7nImG7mZdVpYXet6eZp71tZw4JO1OpMG7KRCrsDADVbbT8bM1mFqfRT8ti2NBKFqd2J1VhtCrXCfj5vKweTduVzcRF+KqX0Ou6qc4gYrj2M0wzqHBfh8VAcNtG6yVxEG/EahvQleuk59excyr3UYE9SzkXI9R0ep9Tp+xkcdbXZZFwRRUV7o6K56LH7jbaJnQD8XRNOeZT6iAtlfe5js+pIGRLFL8ney2t78ok3n8CZVQsMZhDhQNNDbyfqvXi9nJRQ08EHUeSrqRq/+VuLhKrCmia9/NxRFOGp4ihXLhb9eV2ZtI47ZVcqLVdEW/VDPQTmUC5k0dKG0o3JGhop8KNGyuVzgK+qUFsJBfUDPppXW4uooUVUc7HiKRJdGypPcAF6yNqadgbx9tntetQPYiwpNBTpMa2wmEPjzdVVXwDjvrJtJ8YCbCeOmUTCX+6ZhyL0zRc2Rijml7IbiD2vDY0mKYdzZ9f9dPoMatqk43gzzNvHbUR29YmsTj6SHpdk5v3dRVHOlXL9pRxWzR9EH2uuLzcfgmlKLZRCx3r/YO4XZQQT8dbu4XHqW2mY7se4M+Qkm3UzjCl03ExchpXBK930XHc1sgbiddPyyJ7ZC2L076ZjpV2VfTcx5+LvhhFRNxAaLrjfXpdXy6ty4QS/p3ffRKtA5+Ft88OO21rESm8bNQ2oCu3EDuCb6bTvIvaOBEl/L5V26nwhH0szsZq+txrrKC2iCWBC2P7W+k9qXYSAJiU4vIpz6+YTC5yb/0vLYe6GL5JS6SyOVFlMt8Yx1pCba62ITQzqsg0wOvF4+FpB5UNTey30LKpaOV2nG8oTcuyK4LFUW2n0AhuZ6j2qZ5N45jK+BiBEiUt/joFLYLekx7B+0b0SDo+NrtpWtvLFVV5AFBsp4hI3o50ZQObfXvodaJK+WWdM5tJOKRuGAQgqoreQwc3r9DYcqit+XxiO/VX+u2EkiAIgiAIRw8R5RYEQRAEQegaIsrdNQZuzgVBEARBEARBEARBEIQ+QVYoCYIgCMJxQFA3IdgLX8B6Iw1BEARBEISepLfspoNpDVT67YRSRWss7L5v/GIjuO+4Vk99xQflNbA4n3w6mR4YauB72ab4dCfStOxN3H83MoL6l7rruV+9PYrG0dJp2u0+7us+MbeEhDdYs1gc1fvZ3MEbX0Iu9elvUPzhH57yETvnVzvm0QNtvGk4amhaaYq2SMMOrltQGaR+yo5iA52YTFrmjhpe5t5s6lDc0UT9gssqua9zMJL65p42bTOL8+n20SS8by/3L9YUuZasEdQxvKQohZ1jTqV6U6G9vI1YfDR/I0ZS0aSdify6tgCtF6ZjBcARQ9teQy3X0IFT6VMBWrc1Ln5OMJo6j+sarydfIr2nFcVDWRyTi97DnLE7SHhbM68DUzQtz/YD3Bdfy6R+6prSRqrLuXO2dZDi6+478mDuC/L7HjPuAAlvqcmg1zXx/hRhpW26oZFrEqUNaibhPeuplpiFy03BMVrROnKpokWAJUIZj9y8HZkVXS1PO43jaOJaDP4Y6osfTOZjrnMPHQOisrh+U4tH0cxS/q7qJQFAwEvLeER6NYuzung4zV8MbdOWsVTzDQCqaqhOlSOtg8VJzKe6BSXVvK2Zg4fKy0gDTBCOBlXNMbDbwrZTMIprbNhqaT+JGM71UVa+M46EAyP4dSxtdKz0JtM4Tm6SwRalaEDWcC0RTemTyKLhDh/XSxk1hD47t1syWBwVSwfvg46htP+7Gulz++HZH7JzfrVpPgmbW/kzJKqKhs0zaJl7NsWxcxoD9BkcvY9fN5RLx8FILgGJtsG0/Mz1dBxvKjfQfIqi1508ZweL89WmkSRcsYPbKyYqmYX4QtooGvZSbSEA8GfQNhK53eDZ5KHPlYwxVL+paBDXDjMrek26i7cjU6xiZ1Zxu01XdGwQoO2ovoU/xxGr9B8Tr0uPYj6v3TeYxVH1O6dO3kPC2xrT2DkmJW1tD7eVvdmK5mMjLZvWYm5v2VPofZs8/Jms4g9yOyh/chkJ76xMpREM7MwIG62n9np+T7GptC9Xr6ZlY2vl+fVOpDakp4W3PfY+2srfaXSrUt+N9B4iGgzSjqXl6UnlOmBxO2i7Cc3iGl+tHiU/uqpJZlBPXpq/kdk1LMrWA1Q72B+n2IeTuJaUX9H40jK5NpOlQNHDKo9jcfRv9TE9ILZTf6XfTigJxwfWYACRrlbEtHsQ6+5ATHsHEmu9iPF0INrbAWswCJOuw2QNwhQKAToQMmkIwYSgKfxrc9jhskXA5XTC5XSixeGEK8KJJrMd7XabseqoIAjCcYYODaFe2P5W76UtdgXheETTdUT4vYhpbEdsewdiO76xneo6EOPtQITfG7abdB3YFIRZ1xHSNIRMJoR0DUGTCT6LBS6nE63WCLgcTrgcTrQ4nWh1ONHodCBgPrJouSAIwrFOb9lNB9MaqMiEktArmINBpDe0YEhpKzJaGpDZ0ojE9lY4Az2r2O83m9AUGYnyxDg4K/1oznDCleGEP0KMJUEQBEEQ+i/R7R3Irm/E0OImZLQ1IrWtGTG+dpj1I68I+SG02e2oiYlBWWICIjo8aMqMgGuQw3hLZUEQBOG4RiaUhKOOputIb25EVnMj0nfVIauuCekNLbCE+LL5rhI0aQhqJkADTCG9y9eyBkNIdrUi2dUKFB067k6woSXTiZDFjNKkBBQnJcJn5UugBUEQjhVEQ0kQ+i8RPi+ym+uQ6WpE2o4GZNU3Iq6du9h2lRA0BE0a9G9WaZtDoS5PREV5vYiqq0NeXR2wK3wsYDWhOd2JpowI+IJ2lCQmojY6RlaBC4JwzCIaSl1DJpSEo4LVF0BBZRkKqsoxqroC0V7uT/ttQgCaIqLQYo9AU7wDrggHWiKcaIl0wtMRCZc9vAzbZ7YgpGnw5tCVTLrHDE3XYQkGEdPhQVyTN7zs29OB2PZ2xHg8iPaFl4MnudpgC1J/5MhGHyIbfTgbmwAAfpMJe9JSsD0jE9syM9ESwX2yBUEQBEEQjhaJDW3IK6rEqNpy5DbVwcQU4ygesxWNzii02pxoTHSixemAyxmBlggH/K4IuOxOuK0OBE0m6JqGtsH045u5XYNJ1+H0+RDj6UB8iwcxng7EfGM/RXs6EONvR6y7HQntVKTP4g8hqcSNpBI38lEHAKiPjML2jAxsT8nE/kEpCBnoAwmCIAjHNv12QknbHgHNEhYXcxp5JykLVKqtXARVz6XiaZqbX8gUR0XC7FZ6TsjEBfY6aukxJsAGwKRRoyDKTtOpLuH53WemQoJGH310JSkt0cfi1NUoQmiKAOx9y89g50QoApodqSwKOrJp2axqn4o5e3bgpD3bMePAHjgCXDwdCGvCNQ2JQO2oaHySMQq781OxNy8ZHRHh+k2OoIK2m8sy+TUUYTnbLio03JHFXeesDeHmbQ4GMaSuFqNqyjCmrByF5eUYVVEJp//QOdZQCAUVVSioqMLFa9ZiW2omvhhagM+HFiBDqyaVUVKaTNLJz+NKmHv3U2FpUyQ3EhtH02NN+6gIu1G7ckbRr5UecEFNbyM95qjlBl4gih4bUkDvYU8VvUcASEqg9dRg0DeUZg+znQsLDlVEzf067Zft66kIMgC059DrzJm8ncX5Yj8VXNYUgejsHCrcCQAldtoPjQQLtaG070bbubDgpipad6EOek9WH+/MZZU0bbOD95+WNVSpM5hI82cdykUZ2xvoZKjZw9MOWmj+Bq3kcSxn0/quDtFxxVbI0w4UK2LurQbCp0F6D7UNXAA+Lpa+yHiKaJwhoyvYOXsPUNHNjXV8HInPbSbh9nW0rbkTeF4Sh1AB3YYaHqeyhJa5NoiPR0HfoTIP+b7/ak1BOBzRG22wW8L9LmRgO2kh2v/arFxwN5hP45jdBs+QeDpeWWzKpg0mLmgbrKLPphDXs4VVtZ0cdLx17afjEADsNyuKxkYLZpSh3TeIj7eBStq3zcrj6zefnsnOiatTyjODJ9465FB/N4VCqPBmYe6WHZi7dQfyausMMhvG5XRga1YmtmZnYFt2JrZmZaI0KQH6wUmbo+H1dphrxLndKCyrwOjS8vC/ZeXIbmgkcZLcbThxz26cuGc3XE4Hvhg5AktGj8IXo4bjlA1UNLr+ABXhTh/B771qN7WDfbG8PN3p9Lli3kUNVoM9MGCNpu3IC4PG10CPRVbxKL4Y2hdSx1EB49IyLggemUSflW0mgw+WSj1odv6MSC+kG+GotpNlJbfJ3Mq+KNNn7mZxVu3KJ2FfLM1M4lC60Q8A1FXEkbBuYDt5htM+FuPgH5p3lCq2soeWr5m/4qC+jD63dSe3M7GCjmsBZYjwDed2nF5Lxyyrge3ks9D8pS/lO6N4Lqf33Rik44p3PE9b20/bhMXFx1zVdmqp4/VtT6DvCKb99J4GTeJ2cOUe2mY3V/NNDRxDqT0YobS19iTepiPy6YYrnkoucu86QPOnG4iRa95DZaF1YeMcoW/otxNKQv/E6fVh2u4iTNxfgpy6NwzjtNut+GpsHtYW5GDYKbWoHxEFf2S4qb1ZNqk3swsACJrN2Juahl05qXhrSnjnP3MwiLzaWlwf/TmyNzdi+Jc1iKs5NBAXVpejsLoct674BE0REdicnYWVw/JRHceNWUEQhIFASNcQ0nvePaU30hCEAYOuY3BdPWbs3ofC8gpEeg3ekgHsS0nG5wUjsDk3C1uzMlEyKLFP3cmaIyOxYsQwrBgxrPNYrLsdhWXlGFNajhl79mHa3v2wfiNBENPhwdkbNuHsDZsQMJlQlDQIa3MHY1NWDvwWed0QBGHg0Vt208G0BioywgtdIrOhAbPW7sbEfaXMfQwAaqJj8Pn0fHw2aThWjx4M3zfbFt8yallvZ7VLBM1m7ElLw8aTc7Dx7BxA15G2qwXakzactHc7CmoObUMc396OObt2Y86u3dibkoIvR+ZjS06mLO0WBEEQBMEQW8CPiaXFmFG0G5lNzezvQU3D2qGDsaRwFJaOHoWiFL66pb/REhmBr0YMw1cjhuGZU09GdEcHTtyxG6ds24GTt+9CbEf4w5wlFEJ+bQ3ya2twzqYNWDM4D1/l56M+mq/wFARBEAY2MqEkfCfWQADjSkoxa88e5DY0sL/vSM3AZ8MK8PnwAmxPywDGthlcZYCgaagaGYd3Zs3G07NOQ4qrGXP278BJe7dhRvGeThHw/Joa5NfUoMXpxMrheVg5bOgRLiwIgtA/CMKEIHpBlLsX0hCE/kqyqwUzD+zB5OIDbCdbj9WCJYWjsGTMKHwxagSao7gbyECi1enEBxPH4YOJ42AJBjHpQDHmbt2OuVt3ILc+bDdG+nw4afdOnLR7J3ampmFF/jDsSE8/wpUFQRD6nt6ymw6mNVDptxNKjnEtsNvDq1zadsaxv/sTqH9xakYji1NdRjVKdIeBb6YS9vmVIkkwcDBXfIWtjVyoICpV0UyqoL7jpji+5DkQpA1Ja+D6Ixn51Oe8qpnrH5gUf2KHnabl9XADxj3k0DnxbW7kNrbgkmVrEe+m/ritDgf+PXkSXp8xA/pphwylDFSg7CuuWfLX4Ek0bzu4z2/lcEXzqdTJ4gRT6D2krKVGWkkSrwN15aCWwv2W31gyk4QvuHRl5//bALyPQjxWcjJO+3QHznlvM7LLwr7ksR0dmL9pG+Zt2YGdX2Tiq+zhKEpI6TzXpLQbo7QLk6jv/fYqamAlxnKNmoY6+nXPUcPv2x9F0/YZtGGrixbOnnKqQWBr4Net99O2ZnZyDQrbPuoP7Uk1uE4EbQN7d9J2E0rn2gHRe2nfWFlbwOIMKqBjQGMR9bMvbeDaTOZWmr+QwYjob6EHM0dzzSz3l3SsaR+n1HcTLwdHLNUT8FdyH3RfnDLWpNP+2FHF+7IpgfYVPZIvoR2ZTNte09m8z9W20LbmPKDoVozj7TOkDllRvI0EHcp1LLy+XeW0rdmyqU5B8Qbu458xho6NFeVcp86raCIkTKZtZkQk14rYWJ5NwjFJBrpVrYr2ShNvSCb/obR1v2goCT2Db4ob2je2k7aFjw8eRUskNqeFxWkpos/kUISBtpwyrHxbIwwAOpIMlu4rtpOjnsdxZNCxs6WE5iUYb6CXothOtjo+3saMpH27oYnbIiEn7ZcWp7oZCNcsbBkevidN1zG6tBwjt1Rh5p59LN7G3Gy8esJ0fDhhLLzH6I6yAbMZq/PzsDo/D7897yyMLy7FlStW4cwNm2H/RmNzZHUVRlZXoTw+DjtW52BtSj46rIfsBpPSbvzpXI8uL4WO9fvKUkg4Mp7vjNdeS/tCJJfhgy+Gpt2RxOPYW2gbLi2mepOOWt6m2/1KW4vgbThmF22z7nT+YtkQRW2Eqi30voPZvJ8mbKdtelPVcBYnaizVx/Hup8+z2hou9WBrpvkLWXnapiZqD2ZMqOZxltC0GicrNoPBe5Aplto45nKu1+ahr1wIZtFxxVTO+3IgiaYdNLCdcjNo22u5nF+nSRlbYvbQsvJN4WUVVCS9AtHcRvA76HV0K29HwWLazoND6H03rOL6qHGTmkm4uZjXt6+D3qc2g7aZodH0GgCwo4S+09hSDHasbKVt2l5voHX8rerWAgPXJexYp99OKAm9T6THi1M37sDs7Xs7feIPsj07Da9NnYn3JoxHhz08eA+GwRP5GMQd5cBb50/AW+eNx4SNZZi7aBfmbd4BSygESyiE0bWlGF1bij2Jafg4fxwqYviLrCAIQl8jGkqCcJTRdYyorMJZ6zcjq5FOWnVYrXh38ni8Nns6tmXzD27HNJqGjYNzsHFwDn573lm4ePUaXLFidaeod2ZTMzKbmjG7fCe+zByFVWnD4TfLK4kgCP0L0VDqGjJ6C7D5/Thhww6csnkXnP5DM/ReixkfThmN106Zhg152TA1GuyKcTyhadgwIRv/jpmC1KZmXPblGlz+5ddIdoVn6oc1VGFYQxU2p+Tg/UljUB/NV48JgiAIgjDwyW6sxxmrNiC/mu6cdCA5Ca/NnoF/T5sIV4TBjl7HGU1RkXhu7kn4v5NPxAk7d+OqL1fhpB27YNJ1OIM+nFqyCdMqd+Pz7NFYkTBU9CkFQRAGGDKhdBxjDgYxff8+nLZtG6K9h9xvfGYznj99Fp4/fRYaY/iycAGojo/DE2efir8tOAW/e/p9zNu/BYkdYQ2psTUlKPyoFKuH5OGTwtFwOcWgFASh7wnBhFAv+Oj3RhqC0Fcku1owf8cmjKkqI8fLEuNx3yXnY9nIYdBlUoQRMpnwRcFIfFEwEpn1jfjzM//ChNoDMEFHjL8D5+xfgxnVO/HfkeOwJT0beh/ucCcIggD0nt10MK2BSr+dUAqujEXQEvadHTG/mP191/pcEq71cjejwcOov+6Bcu47qvr9z8jdT8Irg0PYOaZ66tM7ZcouFmd9LdXdsMYpeinN3O/WsoGuAAoZ6D2XVSr3aeK+uKouTIedVnPer6sw/KMaTP/rfsSWH8pXwGTCvyZPxd/mzoPLFweUAt/2xj3jipXkOv/+YhrNbzL3552YTvVmtu3OZ3EiI6iP7+gTilmcr7YMI+Hg/6N+zLmPKw7TAEpPV7VaeP4SCuh1PvjXDBbHQqsOpomH/IBDAO5eeA7uDSzA5cvX4Lb3l2JQaxvMuo6Z+/dhYnEJ/jV0FnafEgWPneZn+4EsEnZW0oHENJH7UNtrad36Iw30kVqpEZY0vo7FqdpHxQHMilZE9hiqsQMARTvTSDho5r7Oql6TkW5Z4Is4ep0Cep856fXsnDI/7buWQdwXu3WL0gZiaF5Gp3Hto20avSdTPV+Fpyu3ud/FhRU8ibTMg35alxYDuzhYRH3dQwZ1mT+C5vnAVqodFIrl5ZufSMvvQD3Pb1lrHAm7q/jE8egRxSS8uZ2OaR1VfAWevYneaHo+r8vySlrmRkt8TcpthfbTSdmCyUXsnI1FNH+JqS4WR9Ugq6ulWgF1GtcOiI6j+k0OK9eFak2m/cdm53F8nkP9P+DjfxeEo0HE5w44zOG2Fnc+H/MqVtMxpNUbx+Ikj6L9trqE21e6j45xE4YUk/CGQC47R9U2GjV7P4uzqVLR1EugfcvcyDVV4r+mY0jTCD6WNlTE0QMaj2NrpfcUtNHwVxNzsPCjxbho1VqY9UPnFw1Kwh/OOh0fjR/d/yeSDGRB+4LypARceN9NyKuuwc/f/xinb9kGABjkbsWP1n2JLVmZePTs+UgE1xst2k2fITHlSoTp3HZSNZN80fy5Y2umhWOfxvXFWnfFkbCuaEkmTOY6fHVb6O59fgtvI6rmmKrnBQARH9H3BvcEmt9B2TztJh+1iwKpvDwj19Pnvx5H/56fybWP9mqK7qaBbplqOx1oNhhHFP1TXc2ege1kO0A1k4zs4LQxdNVgzXqqN+U10BbNSqGaimXV/L2iskXRlyvn+pPDRtPGtq+Naglp5fwjc0Q9zU/ySK4L3FSu7AIZ4oWjKaaFYzctq+zZdBIcAPbsoWOuM8NAJ7KG2qv+atpmdtZyG9IWT1+ejGwnVwo19kwOHifUcegd1ucT/cn+Sr+dUBJ6hoTWNpx/3UZkfU0fPB+OGYs/nTYfxYPCA5aDz0EIh8FvseCVk2fgzRkTcf3iL3HTh8sRGfDCEfTjR7s/R0u5A/+aNwG7Bqce+WKCIAg9QFDXEOwFH/3eSEMQeg1dx7QD+/E/7/wb0Z5DH8BqY6LxlzPm4Z8zpiBg8IFFODL7U1Nw0w1XY1xxKe5+7yNM3xueZBxTVo7Xn/o/rB2Wg//MHod2BxdeFgRB6Gl6y246mNZARSaUjhM0XcfM3ftwzrqNnbttAEDJjASsXJiHe4sv7cPcHTu0O+z461lzsTQ0Az/a+RnOP7AStlAQsW4PbnhnJdaMysa7J46Bx3Gc61EJgiAIQj8nzu3GpWtWY0TNoVUaLqcDz847CS/NmYUOuzzLjwabcrNx2W0/wYk7d+MX7/8XBeXh1XWT95RgWHkN/jlnErYNTj/CVQRBEIS+QCaUjgMSWttw2cqvMbzqkBtTa6odS38zEiWzv1mCWtw3eTtWabZH4a/jzsa/8mfh5xvewvSa3QCAKTtKMbykFv+aNwFb43P7NpOCIAiCIHB0HdP278O5G9fD8a2PcP+cPhkPn3cmWiJFG/Goo2lYNmoElo8YhgvXrMd9b72HmA4PYts9uPGjFZ2rlTzgbo+CIAhC3yETSscwmq5jxr69OHsTXZW09aJ0rPh5PnxRUv09TXVkAu6cdR1ud72Bs5dtgdMX6FyttHpoNd6eMkG+cAqC0Cv01va3A3nrW0GIa3fj4g2rMby2qvNYkzMCC6+9DMsKRvRhzo4PdJMJb06bjOUjhuHF519AQUm4Hg6uVvrXpKnYnpF5hKsIgiD8cHrLbjqY1kCl384otGUA/m8+QhS7uDAaVF2uRC40V7mOCvdZuA42Yoa2kvD2JkXsL0pRZAbQ4qG+8utXcAPDH0UF1kJ2Gra2clE+V54Sp4U3rGAmFSyz2rgorydoR3ybG1csp6uSKuLjcPeVF2HVjBxA0cIsmHaAhPc3cvG8f22YRNP2KCKCEVzkbnBkAwlvGsqNAG81FcpdWcrFfi0dtLzKShSh4QsNxOmo1jf0Kv5F8crRn5PwX8aczOKcM2IjCQcVFf43v5zKzqm9kLab93PH4auaobjuka8wdnVYsG/avgMYVV2Bd88Yi31DkmFNp3XZsI+3e8tQKhCslXFBQLVvlFfx68TnULFJtfT2VXEBe8TQC9si/CyKfTftG7F5zSxO5RBFELydlmdpHc+vI5Xet74rksWJGkN1wbwBOrztX5bDztGUZhSMNBD8U5p1ooMLFobyaQm2ltE2bKXDTDh/w2gDHRTLr7t3H13ib7IdWVG1aBsV3UWal8Xx76R9LpTKx5FtNTRtWwy9jt9jII47ngpJluzmmmHBJJqWuYlfx5pORdf9yuYJO9YMZudYlHnZlkg+4EfF03bk8dG0E6N4HdS10LLy7I9mcfQkOi77DB6tpm9tCqAFeXkLwtHAlWOG1xpufy5XPPu7WRni/IMMROZX0ee/3WnwfB1On3E7Gmlft8cYjDse+rzavYRvemKOUdJSbCebi+elaTh9htgMbKf2bHqfZgPbyR+0Ytq+/Th//Xo4/HRV0m8vOAutEQbP267QT4SwBxo1cbFYcOf/wwVr1uOB/7zbuVrphuXLsGFkJt49ZSw8ditM2bQuO3byzRUCI2l7tBZzTSZVp72xnF/HMYQ+IyKUyq0s57Yz4pQLR/A+F7NN0eCax42GphFxJGxRHle11Ty/5nR635HbDD5gTmojQc1Pn191n3JXQ1sK7WMBA2FstTwTIvhmKvWjlL5bTO10Wwu/bksBre8YZeMMAKjYSW1YTaluzcDUq1uv2L2ZvJ5smxVh9Eyevz2VVADcFE9t5WAH11sz59I6qNs6iMXxJyvviI38OoEsWt8+xXYqW87fwWx2WpftUbxvWBLpdQNeet2YGF63LY3UTjfv5uOnptxTyGhawvqtytJFlLu/0m8nlITvT151La5buoKIRy6aNRUPn3cm2pwOmMENPaHnaUyJwuNPnIoTPtiLK//8NSLcfsS0eXHFv9bgsxOGY/WswYBskysIQg+h6yaE9J7fhUrvhTQE4WhiDgZxyeoNmL7v0Ne2yrhY3HP5hbIqqS/RNPxn6iSsGJ6PR/7xb5y8I7yr8oSd5cisbsYr506DK/l7TvQJgiAcgd6ymw6mNVAZuDkXDJmypQi3/vfzzsmkxsgIXHnbDfjV5ReizWmwREvoXTQNy88ahl8uOg97h4S/QJgAzF2+G+e9sxkWv6xcEARBEITeIqrdg1veWUYmk1bl5eG0e++UyaR+Qk1cLH58049x55WXoMMe/hae3NSGWxd9gaEHao9wtiAIgtCTyITSMYIpGMI5n23CRUs2whIKLwnclZ6CR887HStGDuvj3AkqjSlReO2iKVhywvBOD7WCHVW4+u+rEePiS0cFQRB+KEFovfbrDsuXL8dZZ52F9PR0aJqGd955h/z9mmuugaZp5Ddt2jQSx+v14rbbbkNSUhIiIyNx9tlno7y8/IcWmXCMk1HXhDv/tQRDqsLu+T6zGS/Pmol/zJiGVqesfOlXfLNa6a9XnoSqpLBbudMbwFX//hoz1uwHdPEtFATh6NKbdlN3baf+RL91efvRlGWIcoTnu96qmcD+7kpWVnJ4uS8pFJ9e3WBjiAQH9b09UE9FVbQ6flJEJnVcbjcQZ9JUoQKlkfis/MFniaR+toEg92ONcFKtqHfNJyK2w40n3vk7ppUc0kF67ewpeOLHpyBoNsG8k84bhlSNAgA7qqjP773jPmJx/vfXF5Bwaza9jrmDl9VHxdNJ+KRzN7M4S3bQL4C6mc9zBhTtmLMmbCLhag/XXVq7LY+EL5+2isX5w/L5JGzkk/zv4pkkbPLR+7YM47orfhf1U99Yzf2W98xJxn/njMbsk/biocfeR2SHD2nVLlz+6los/OVFSPFz/21vPTVwTQY9ePSsfSS89gDXm3HviaPXGUzvQWvn5ZAzpIaEa9q4lkw7lSBDW6OBT3+SomWwm/Yfn85vqsNP24Qlj2ub+VbE0XMmKD7fg/nqL1UHKtTC+9zZBRtI+MOvJ7I4FreiJ5ZL+2mk4h8PAJqPtpGGA1zvRB2hLanKZGMFf+HRU+l9B9t5eTo7aH/SbNwvPdRK+3NOLtVHOtDOffxrXbRNBKMNVtyFaFlpPj4eeZtomxiU3kzCzXn8ugEXrTtziF833knLr7IiioQj46kOFwA0VdB6MtJ00IK0jH2pvO9+W2txIC9r7gncbjfGjh2La6+9FhdccIFhnNNPPx0vvfRSZ9hmo/WycOFCvP/++3jjjTeQmJiIO++8E2eeeSbWr18Ps9nAPjhGuWj2ik7b6d+VfKxypyp938PLxheljGcGtlNKBLWdKhStPlsdv64ph47bblX4DIDObCeKx2bQd6Jof/MbZNiq6Na8lT8VZ2zYjFvfWganP/wcqIqLxY03Xo2tOVmHzUO3UYcimff4QTwz7lT8fcQJ+NOrb+C0Ldth0oH5n++A2+3Ery+9AOds3sHO0epoWwsZ2E45p5SS8PY92TzSDqoL4x1Kn7fmNv7cSRxGn531rVwDsjWD5s9Xx+0rLZnaK9Hb6U1oOu9zfh/tL+7h/NmUuJjqFrmn0z7Ykm/QYJX3FZOBFuK8CdTe/2LZOBbH2kav3TqUPtsdQ7l9bVVsJ88+bv/DTK8bVLSkLGXc1vNk0LIxuXl5WhUTTDewncwt9Lzkoc0kXO3mOqHNzbRNaLFGep7KOxeXDkaogZZNTBbV4modbvC+2kLrTjewneKU8b6llN5DVFIzO8evaIk6mvg9aUHaPjsyeNq69q04QbGd+iv9dkJJ6BpD66rw5H9eRHbzoa9rv7t1Pt6dO7aPcyZ0lS+n5eO6J67C4w++hazqJiQ1u/Hiva/i7TGTsSZ3aF9nTxCEY4SQ3ju7iIS6+cI8f/58zJ8//7Bx7HY7UlO5yDsAtLS04IUXXsCrr76KuXPnAgBee+01ZGVlYcmSJTjttNO6lyHhmEbTddzx/sf42cdLO49tGJyNn9xwNepiDV5OhX6H2+HATdf9CAv/uxi3f7wEAHDhmvUYUluHD3MnodXBN2ERBEHoLr1lNx1Ma6AiU30DmLziWvzj1b92TibVR0bjmstulsmkAciBnEG49PEfY/WYXACALRDEJRtWY8G2DbKMWxCEAYnL5SI/r/f7bwjxxRdfIDk5GcOGDcMNN9yA2tpDuinr16+H3+/Hqaee2nksPT0dhYWFWLly5Q+6B+HYwhwI4qqPVpPJpDenTcKlt/9UJpMGGLrJhCcWnIabf3wlOqzhVRYTiktx26qPkdzW3LeZEwRBOI6QCaUByvD91bj6ra8R6Qsb6NtSM3Hx1QuxKZO7NwkDg5aYCNz0wOV4fcHkzmMn79mB8zavgyaTSoIgDDCysrIQGxvb+XvkkUe+13Xmz5+P119/HZ999hn++Mc/Yu3atTj55JM7J6iqq6ths9kQH0/dRlNSUlBdXf2D70M4NrAEgrj2g1UYt7cCABDUNPzPBWfh51deDJ9VFuwPVD4aPxYX/r9bUBEfBwCI87bjpq8XI83FXZgFQRCEo488QQcgo/ZU4rL318Hyzdq4pfmF+PnZV8Jj5XoEwsAiYDHjkRtPx/6sQbj32Y9gAjDrwG5YQkH8e/wUcDEGQRCErhHqpe1vD6ZRVlaGmJhDqz7sdq5b0RUuueSSzv8XFhZi0qRJyMnJwYcffojzzz//O8/TdR2aJmOmANj8Afz4vZUYVhZe2dZhteKmG34ku7gdI2zPysDZP78dLz3zAsaUlSPK78VP1i7G85NORnls0pEvIAiCYEBv2U0H0xqo9NsJpXdqxsFuDy9h9W6K4xEyqXDb3PydLMqqWrpaJ8bOhXyjLXQJfqiDiqk5M6kQGQB4KxXxtHg/i6MKz6oiZ6YO3mgiE6nCmi+VC89GR3px+QfrYP5mMmn5Kfl48tezkGkp64yzZwkVo7YoSVm2ciHftlwqRvfwPy9mcS67/wsS/verc0g46OCraDzKPayr5mKXWqvSDA18VU2KjuD7W8fQA0F+juakJ72+YSqLo6Ln8h3WQkrdxcZRkcCGYi6mbE6g7erU7F0szvuLaX5yJh/akWjZxcMxObcEp/1qO0whYFrxPkSPdeM58wnQTYcq1KjM1+2k9a9FcRFGXxI9z+yjdZCRW8/OKWuk92kk9jy2sJiEt+zLYXESMppJ2DaZigZWlCWyc2xRSt9o5ZOnruFU8C8ntoWEa8xc5DK0X9FZyOQqh+/uHE8PxPN+GUyk5WlqoCKHdYEuuFIYCFg7KmgZe5z0vjWDOeTorfSgezS/J3cWzZ+9lAtq+mPoPflDdGzMSqFCowBQVknrTjPol2b3kYUl41Jp3TXvpAKQ/mQ+5moBZaAzmEdQ82fz0Ei5zgZ2TkkWbffW4fw5EtoQR8JpKfw6TZ5D467VbPDMOAaJiYkhE0pHi7S0NOTk5GDv3r0AgNTUVPh8PjQ1NZFVSrW1tZgxY8ZRT78/81bFhE7bybrGQEcmlwZnjNrNonxdRSNFObirYqyV9oMqxaYJ5vB+Yi6jgrCBBAPRfuWRpo4h6gYIAGAapGxokk6va/MHcN4nWzonk9rsdvz4pz/GmvwhPH2S+OH/fFxzNDRFtKO78rohOgpX3HYjXn7mBUwsKkGE34drNn6Bq2++HjnVdLWS30D0eNcWKsKtx/A4nmTFtvfR52LiUPrsAoCaero5iamNiz3nTqgg4f0701mcyGxqe9pm0nbuLo5j5yCa9g3NxZ/1DaNpeFACvYd6MxcRd+yhHwfas3lf/nQTld/Qk4zKk7YBVcy/NUA3zghfSAlH8+tGltJ6ckfQ+w7ZedtL3EDPaZjA78mVS/MXVcTf5Xxx9Dr+ID0nKa2ZnVNfRu0M9Z0H4GOf2WOwudNIugGMfwt9/urp/J5MXTBH6stp/pT9rJATwe3Bitw4Eg4VcGPPvpo+oyINyqal49BzQ/ceH7bTQGTgToUdhxTsrcTd//MJzMHwILL49BH4071zEbQcPzvYHE/sPDsNHz0+GiFz+CFS8G4VLv1K3N8EQfh+hKD12q8naWhoQFlZGdLSwttKTpw4EVarFYsXL+6MU1VVhW3bth13E0oCxRoI4vr3v8LUfeFdcF1OB6667YYjTyYJA5JWpxM/uvl6rB4art8YjwevPPM8Mhv5C68gCMKR6E27qadtp55EJpQGCCMOVOOKD9Z0TiZ9smAU/nz3XITMUoXHMnvmp+CDJ0YjaAkPMjP27MeFq9aLULcgCMcMbW1t2LRpEzZt2gQAKCoqwqZNm1BaWoq2tjbcddddWLVqFYqLi/HFF1/grLPOQlJSEs477zwAQGxsLK677jrceeedWLp0KTZu3Igrr7wSo0eP7tz1TTj+MAeC+PGHKzGsvA5AeDLpittuxMbBfOWscOzgdjhwzU+vw1fDwrvkxnR48NPPliKtWTSVBEEQegKZjRgA5JXW4ar3vu7UTPps3nD87c6ToJsG7kym0HX2zU3Gfx8tROib3nrCzr04Z+2mPs2TIAgDj6Cu9dqvO6xbtw7jx4/H+PFh99I77rgD48ePx/333w+z2YytW7finHPOwbBhw3D11Vdj2LBhWLVqFaKjD7mxPvHEEzj33HNx8cUXY+bMmYiIiMD7778Ps1lW8B6PmEIhXPPx1xhZUgMg7OZ29S3XY2sOd7sXjj08Nhuuv/FarBkSlr6I9Plw89KlSHa5+jhngiAMJHrTbuqu7dSf6LcaSh1+K0KmbzSU0rh/rGajx6o8sSxOQgR18qxt47649TupWJ8pgq788JUbaBAkUz9Q3UBLxhKp+PS7Vf9dfk9tpVTj5e2TxyC3ph6/euZjWIPh+P8dORY/n3QlgkvDRrIvjq9UsY9XfLjX0LK57/rX2TlLm0eR8LLioSzOK1+cQMIOKocA2wj+oHaa6H0mRblZHF8V1UfRDVpl7snFJGxSfO/3rshl52R+Tuup+Ex+4cylNH8j7ud6Ep9uKyDh5h1Uh8XCqxKBKPoS82V1HoujKa7A5Y1xJPzkhvkk/Nkl6/CHN96ASdcxd+suLJk8Eh4bv6ekQYr/ewtv9yEPbY+6m+a3Yf8gdo4+hJZnbBKvy2011O/fFMX9nZvctE/ZrTSObuMF6m+gjc3C5TkQTKJO5+V7k+nfnfy65myqDWKzcv9yn9K/LU38BdWi+JN35NJ7Mrt4PeUMo7tPlW1NY3ECityZ5qffAKyt/OGTchLVYqhYmcHieAbR/uNJ4fc9dnApCe9ZSTXpOjK5k39EOS0b71CuvRJS5BgCHbxsYpT+HcqiFR5p4+3KtJ2280AEF4B2TmgmYXdlHAkXd3D9rpCf3pMvwPPrV2SCEmxce692bcqh+H4D4ajjmDlz5kA/zKrLTz755IjXcDgc+Nvf/oa//e1vRzNrAw6fzwLtG9POl8n/ro6vRrZTXATVEmxs5XaQd6uiC6NEMZUoBgIAXyodM7R2g8m+SGVccdP+FjLQDdSKaOLvzB2LX//nfYw+UAkAaLdZce3NP+4/K5PUYbu/LzjuqZecHn556rDZ8eOfXIfXnn4O40rKEO314pI1q3HeHbfhxAM7WPyoVGrTNDdx7SBTO30Gm9po+/Tt4v0Jw2ifs6Vwrc49lSn0QAx/Jre2KXaQ0peNdIHMddTWs3TwMlef/83bqU2uRfDrtg+m/dRkYDtpbqrnaK/laxisbfTarXn0niwt/JykUVTjs2kDF10PqOOR8si1tfBycM6nbpFxn/HrulPpee1pvGyGDqM2WNVn1C5uy+XnRBfTsGukgVZnlKLN1G6gxauEPYOprWS18+vGbqRtxBfFx+XgVNo3tDKaUpGb205Q7NVAwGC8V/Sm0hz8vcL71SH9Js3A/hL6B7JCqR8T1eHB80+9grj28MPn88Lh+MU5VyJoki+uxyPvTJyE+64+uzP80CvvYXAlF88WBEEw4uBuJb3xE4S+4oLV63DDZ8sBAH6TCTfeeA3WDhXNpOORNqcDP/rpDdiVlgoAyKutw99efh1ayOBLoCAIgkJv2k0D2XYauDk/xtFCIfz1//6B/KrwriR705Jx642XIyDL949rXj9lKl46dToAwBYM4sf/XYm4Vr4aQhAEQRCON7Ib6/DwP/7dGX7w4nOxYuSwPsyR0Ne4IiJw/Y3XojEyvGzlxF27cc6azX2cK0EQhGMHmVDqpyzYshmnbA1vNd8c4cR1t16NNidfQi4cf/z28jPwZUHYJTG6w4vrP/wKNr/BHqOCIAiCcJwQ2+HGtauXwR4Iu3W8Ons6Xp89vY9zJfQHyhMTcfOPfwS/Kfzac8qW3Ziyp6iPcyUIgvD9Wb58Oc466yykp6dD0zS888475O/XXHMNNE0jv2nTppE4Xq8Xt912G5KSkhAZGYmzzz4b5eXl3c6LTCj1QyYUF2HuzrB/d8Bkws0/uQIlydyXVzg+CZrNuPXWS1GcHPZzz6xvxuVL1srOb4IgHJYQNIT0XvgN4K1vhYGJJRjAtauXIcYb1ltblZ+H31x0Th/nSuhPrM4fit9ccG5n+NLla5FbI7IBgiB8N71mN30P28ntdmPs2LF48sknvzPO6aefjqqqqs7fRx99RP6+cOFCvP3223jjjTewYsUKtLW14cwzz0QwyPW2Dke/Vbcy7YqAyRIWdIsd28L+rorlbS9PZ3FUNIuBgLWi7RpSyi8YZyBgFkGFZlsMRGWDipCryUPn7kIGAsFjCw8gsbwNZ6zd1nns96eejfWxo+D4RuPtxPM2kHOWHuBLudvbqBitTRHUu3vJJewcR60iLDiYqx7rDloW51/4FQknWLiY2rNbZ5PwvqZkFseuLrzSeD0dWJ5Lz2mmf08/g4rgAUDlcKqUG/0lF+ltKKD1cqCVT9zZy6iwYO7sEhIuWpXNztE9tP4tr3LBuqgrGki4qYGKsmtpvA7un/Rh5/83ZGcj5VwXnP4Axu0vx9xVu/HJ+EK07qVpmQ105a864QsSfnXNiSTsz+dpFw6iItLbt3KB05BNOWDidekspQNm2zDa9lThaQBMqFU3EObTfUofi1cEYFsNhrsGmuG0/BoWpTyoCAuymwQCqg6nck5UVis750AVFT43Zxj0uQbaZq2NStkM4e6OeytSSdhmUP+njN1KwktLR/BICoFhNH8pkby/xyr3sKc0lcWZmneAhLcsz2dxGpx0fDdX0nJIGt3MzinNVsTn47nwtaeUVlQomz4ASuqpGCkA6Ep7bG/n9W9XNFb3L85lcXzph/qCj2uKC8JRIXKrDXZLWGTVN4WPD6F6qvRfVJTC4qg2rW42EPv10mNBmyIYG89tHEck7ZPeDieLo/Y3q5teNxDF8zJ8XCnm/nsXsprDorplifG4+fqrui8RIPOgxzyvzZ6BEZVVuPKrVbCGQrj+kxX44/z5aImIQGgntRkjInmDuOC0L0n4n8uojds2iq8Wz0+pJeGSjXyjDIuNtmsjKZXYInqwie4XA5OX5zcQTfuhKcj7hPp+4kuktr7FZSCmXUftqYSR/D2tNkjL0xfiNphPtZ1C9B7MuXwMq65QNvLJ5g9Uaz0VmrbX0+t2DOP2QUUJtf+dUbw8p0+mYu7L9w9ncUwaLfO2Apq/2Gguyh6dQ98r2ww2xhk9spiEiz7NZXFcEdTgcyobpcRM4JsnNebRdwa/wXuvtUjZ9CRXucfaOHaOptjkgTYri+Nop+2+7j3+Lu/JPFQPXrGdCPPnz8f8+fMPG8dutyM1ldviANDS0oIXXngBr776KubOnQsAeO2115CVlYUlS5bgtNNO63JeZIVSP8Lu9uOU13fDEgh3sDfHT8WrU2cf4SzheKV5aARemTMDB4f1MzdsRUEpn1gTBEEAAB3hL2A9/dPlzVzoRcasLEf+1vBLu99mwvU/uRZNUXyHLkEAgN9ccA72Joc/bsZ6PLhu+XKYRKRbEAQDestu6inb6YsvvkBycjKGDRuGG264AbW1hya4169fD7/fj1NPPbXzWHp6OgoLC7Fy5cpupSMTSv2IaR8UIdIVnjWvyY7GbxZcAGhimAvfzfbsDHwwaWxn+LIVa+D08a3aBUEQBOFYI7W5BdOWHNLCWXr+SOzOSOvDHAn9Hb/Fgpdmz0ZDZHjSMaehAfO2b+/jXAmCIIRxuVzk5/V+v/e6+fPn4/XXX8dnn32GP/7xj1i7di1OPvnkzutVV1fDZrMhPj6enJeSkoLq6mqjS34nMqHUTxhbVIYhW8IuUF6nGZ9fNgx+S7/1SBT6EYvHjMS2rPAy0dgOD87etbaPcyQIQn+k13QAdPkQIvQ8plAIV3y1CuZgeFX3phmZKBolepPCkXE7HHhp9mwEv/loe9rWrUhta+rjXAmC0N/oTbvpoO2UlZWF2NjYzt8jjzzyvfJ+ySWXYMGCBSgsLMRZZ52F//73v9izZw8+/PDDw56n6zq0bi5o6bczFr4oQLOGjYRkB/c3ba+jjrfxoxpYnBoljt3JfWa9CdS/1OyhBWhpMvA3VrQBVP9jgOsATB+9m4RX7jqkfRTp8eDir9Z1hp++cw6WnTYMjqZGdt3/bi0k4Yi9XM8j8QDNX+ul1LdZ9/Fqj86hZRzYbmCUKSuCv6obQq9hM5hBLVYEXGK5b27hyXtIeE8D9x1ub6caKiETzUxxCT/niklfk/DHn85icbyz2+h1arjWkVXx2bUoaUdU8E7nj6HHqmcaCGY3Up/ktFRqzMxPp77aAPDnpy4k4dDZ4XO2zUrFO7c9i1i3BxOqirGuIAtbczIBACNyKtl13lgyh4Ttitt/lIE2j6qZFD+kmcVpLIsjYadB2bhzaFmYrLRNmOt5+wyk0DjBaN6OzK20rwaVpDNyufhm9T7azitdMSxOoJX6fVtbeX/3J9D8mNppHHcz1ccCAE2RD8lL5/pNB6qpP3nkyGYSdhWpAgSAI4P2Za+F+60vXzGG5pcPI3AlUnGzgKLnVGPgD1/vVHSrArz+1+4YSuPE8b4xJYPqlG1StOIsGndPiKhSDqTz8Sg6luoHVFdSLYZQO297mqrf5eXPhEAe1Y56ZPhyFueONfMOXYP9VRCODr5YQLOG+12sg+uyuWqoK5htLNfUcFXT8crs5MIVHYPooGFRHhn2Bj5Oaom05Zu5aQd46XljJu0n4U1bD9kdp+zYiZyGsO23P2UQLrnoZnhtfFwSuslxMCH87tTxAABHyI9bP10Ks67j3OJV+NPppyP0zU5w2UP5F/q336N2pNNP27RjGG/UqmaSbRjXVPQU0T4XXcqfEi1DaL3oiu1krTHQc1VMcH80f3aqNs3BnfAOEpPH9ZHa9sSRcF0Lt3FMLTQ/NhdvV54kep+WNiVOAxeBNCu6sGlZfCKwtpLqtepjqOajdR93iQ1mUZuh3crLc/2SkSTscPB7akmmxp1Z0XNqMbCdmp2KHWygh7x902ASNsXzOGNzSkn4wN5cElbfXwAgulR5Z8zk431kIn1Xai2ltrLmNrCLVP0ug3dl93BqX/3P6M9ZnLuWH7KdgsfJMpiysjLExBwqY7udawB/H9LS0pCTk4O9e/cCAFJTU+Hz+dDU1ERWKdXW1mLGjBnduvZxUjX9mwu+Xo8YT9jw+3pWLpadykVqBeFw1CVG49HrD/nAXvLVWkR8zyWSgiAcm4R0U6/9BKEnSWlpwfytWwAAQU3Dz6+8WCaThG7z19PmYVdaWLA2q6kJc8X1TRCEb9GbdtNB2ykmJob8jtaEUkNDA8rKypCWFnYLnzhxIqxWKxYvXtwZp6qqCtu2bevZCaVHHnkEkydPRnR0NJKTk3Huuedi92668kbXdTz44INIT0+H0+nEnDlzsF0G6O9kTEkZJhWFv8a3Rtvx7J0niG6S8L1476QxWDYpPBkZ2+HBhavW93GOBEEQBLGdji6mUAiXr14FyzdCys+ffAI2DMnt20wJAxKf1YKfX3EJAt+syjlt2zakN4nrmyAI/Z+2tjZs2rQJmzZtAgAUFRVh06ZNKC0tRVtbG+666y6sWrUKxcXF+OKLL3DWWWchKSkJ5513HgAgNjYW1113He68804sXboUGzduxJVXXonRo0d37vrWVbo1obRs2TLccsstWL16NRYvXoxAIIBTTz0VbvehpYSPPfYY/vSnP+HJJ5/E2rVrkZqainnz5qG1lS/xPN6J9Hhw8apDejfP3z4LTUmyM4nwPdE0PHjzArR/85V28v4SjC4p7+NMCYLQXxANpb5BbKejy0m7diKnMezqVhMdgz+d2fWtjQVBZWt2Fp6dexIAwBIK4fJVq2TXN0EQAPSNhlJXWbduHcaPH4/x48MuvHfccQfGjx+P+++/H2azGVu3bsU555yDYcOG4eqrr8awYcOwatUqREcfclF94okncO655+Liiy/GzJkzERERgffffx9mM3djPByaruvfW86hrq4OycnJWLZsGU444QTouo709HQsXLgQd999NwDA6/UiJSUFjz76KH7yk58c8ZoulwuxsbG442dnwG4Pvxh7A/ymLDupX61W2MbiqLo7JjN/QAQ91EfWEUM1B3zV3H/X0UArvD3DQM9F0VAJRtK0P4ufjMc+eBULdm4Mh4cW4PqfXEtWJ9kbDfyNkxWfVB+PM3X2ThJeXZxL81akiLcAsI6kOgq5CVy/aU8V9UkO1NLrRJbz+cn8s/aS8OaSTBbn/IJNJPxR0SgWJzOO+nAfqKHaN2aLgcOxgree3zestPknfs19podcQzWetv13OAmbJnL/cncdbTepX/A23HA29bVPTaB10LSY71Qz9nyqq2Q18fvOWNSAh//yHgCgLj4Kz1wxGx1Oqnfhrqb6TYimPtMRe7nrgFXpYkGDFZjeONoeDaRu4M+mWmZ6iJ4zPJXrFuzfnEXC+WPLWJziFupQbrXQxF0uXv/mBlrfeip3Ewy10LIz6nO2JnrMO5Teo7mSixSpVwna+VCsJdP8dGXxolZKtY9Mg90sTkAZU/VaXpnBCFp+mk/p31GK8BaAM/K2kvBHm8ezOOmKlpU/xPtGbQ3VhoqIpX3FV84n3k1epXAMPpcEVV0l5ZSQgbaBqh1nVP9qWdlieDv6tnaB1+vHX578EC0tLcRPvqc4+Fw959MfwxppIJh1lPG7fXj31Bd77f4GGj1pO93y07M7bSe1nwNA1Gbaxtsn8LYaUPuBxWBs8tBrm6LpmGeq4mOKs5Zepy2HRWEaKv4Yes727DR89PsnYA8EEdQ0XPT/buark77vfGZfzYN+Xyu8K+d9n2sfpQlhbQCJxdkCAbz7hz9jRFXY/vjTGaehfBjXBdIraLsOxNKxP247f/DYWumzMuDk/dKTQM/Tgrzw3LnKw0iJkpPBdSJr16WQcMpkbl+VNcWRsEWxnbwtvC/b6+g9eNO57o65mdpXqkYtADga6U24htO0neUGL7XKfQcdPIo/TclPFxqj4wB9NvryDezBAK0nazW3GQKKxpNJke8NxHDDeN5wuhr187WjWZzYofRdw28gKNRapejfxdN7MBfzwjIrt2nU/TuyFXtPiWN2GdSTcptm1UYDEIhU6iWetyNNsZ2efe7dXrEtettuAga27fSDhA5aWsKNOyEhLGxaVFSE6upqnHrqIS0Xu92OE088EStXrvwhSR1zjKso6pxManE48Zt5F4mrm3BUeP9brm+DmtowZ/WeI5whCIIg9BZiO31/fv32B7AHwh9SxNVNOFr4LBb8/IpLO13fbl68FLFtRqrxgiAIgsr3nlDSdR133HEHZs2ahcLC8M5j1dXhme+UFGVGPCWl828qXq8XLpeL/I55dB3/b/mhLfv+dMKZqI8aWDORQj9G0/A/Pz0DHlv469D0jUWIdfFd2wRBOL4IQeu1n2CM2E7fn7yaGpy8fRcAoCI+Dn9aIK5uwtFjW1YmXj4hvIubwx/Aqav5TruCIBxf9KbdNJBtp+89oXTrrbdiy5Yt+Mc//sH+pikrbXRdZ8cO8sgjjyA2Nrbzl5WVZRjvWKKgrBKTyg8AAA4kJOPt0VP6OEfCsUZNUgwWnTkZAGANhnDKyt1HOEMQBEHoacR2+p7oOs7esKkz+MSCU2VXN+Go89Spp8DlCLsFTdlejEGNomEmCIJwJL7XhNJtt92G9957D59//jkyMw9p4qSmhrfeVL+o1dbWsi9vB7nnnnvQ0tLS+Ssr49ooxxJaKISz1m7uDP911nwETd0TvhKErvDC+TPhigwbRhO3lSK5/tj/gi0IwnfTX4UljxfEdvr+jC4rx+C6sEbMntQUvDVlYh/nSDgWaY6MxP+dPAcAYNZ1zF+1rW8zJAhCn9KfRbn7E1yB+DDouo7bbrsNb7/9Nr744gsMHjyY/H3w4MFITU3F4sWLOxXHfT4fli1bhkcffdTwmna7HXY7F3xrr4hC0Br++hSRxQW33UOpiljip1xoTE+jt9eRx8W+bLV0MsejqLuNGM53ydpXP4iEc+ObWZzqDakkbP5G7HfCzlJkNIX1EzYNzsTb544AtLBi29g8ahDuqqEi2AAQaqNlZY7wsTi7G+l5QS+9x8gCnt/WUupyt8PFy9Nip6JsZ8zYSMKfLp3Aztm8Po+EQ04uRvefLfQ8Ux0XP9s7SMmPi9ZtKJ6Xg91J69sazwX2VCHsqROLWZwP9heScMJsavS3enj7NbfSMh91OzdKtjZQ0e3Gz2nYk8bLau3SkST8P5csYnFWfRIW86tDPP53+im4a8mHMOnA6St24I0LwquWAs100PLYaH4Tptex65ZVJLJjKrZGep208dxdo3w77RvIoEL4u/dy4XYoIoa7d/A4IaUafIr8QdwQLp6elka/Pu6sTGVxolPo+DM0lpfNxl1DSNixj7bhpCm17By1PE1ePr9vVoQk/X5FTDvIHz5aqiIIbiDMqwqh29KP7BKZH0/ve1t1OovzcSkV1Ddx3W64PLQva6ujWBzrRNpX1bQ3N3OB9bhcWk+tHbxfhhQRy+RYWv8NNQnsHFXwU/MbCIsqz5FAJK9Lb/WhPHv9/FkkHLv0pu2EEgdgDY8/liG8X7tG0Laa/g7f2MGdSa/bMoI/i5xVykYEfjrmpRfUsHNKB9H+NSiRr/5oX003Vwhk+qGFQjhzy6bOY4+ffTpCph8kASocZQaSAPeReHHObPzoy68wqLUV4/ZWYHldPcpTw+3SrOxX026j7dAyp5ldr740jh4weGe0K3raUVObWJzgJtp/vNn0OVKxk78z6LG0Yio3cxsH6oYgHTSDzny+sUdqJrWdi8p52uY0aoQNjW9gcfZspbZczG5anvZZfIOghhI6RrANOQDWIHUfHfc0A9upI5OOhVqAjzGqzRXM8rA46pUHJ9D73lvB62DxAWrb2wzsDNWmiVlmIBQ9nRpdQxJp2vsauN2m5dPnhMdtcF2lLGITaZvwVHHZlqBDESc3sAcjlFcEdwy/b0vFISPM7Jdxv7/SrZq55ZZb8Nprr2HRokWIjo5GdXU1qqur0dERHjQ0TcPChQvx8MMP4+2338a2bdtwzTXXICIiApdffnmP3MBAwhwI4vSVh3yyH73wdBHiFnqUv0+bDVdU+CE0cm8NMiu4kSIIwvGBfGXrG8R2+mFM3l2CtMbwC+z6wTlYPLqgj3MkHMu02+3422lzO8Pzv9x+mNiCIBzLyAqlrtGtCaVnnnkGLS0tmDNnDtLS0jp///znPzvj/OIXv8DChQtx8803Y9KkSaioqMCnn36K6Gi+/ebxxvStRUj8Rhx5WUE+Vo4a2sc5Eo51PDYbls0c1hme+8VOQD+GPiUKgiD0c8R2+v5YAkGc8fWhF/pHzzlDPsQJPc4b06eiITYSAJBfWof8Yr7KWBAEQQjTbZe3I6FpGh588EE8+OCD3zdPxyRWfwBzvz4kjPzYhaf3YW6E44kNY7Iwfc0BJDW5MbisEXnF9diK+COfKAjCMUVvfQEbyF/ZegKxnb4/M7bvR3xb+EPc9pw0rBk65AhnCMIPx2+x4JOZI3H5R+sAAKev2I69OYOOcJYgCMcavblyaCDbTt2aUOpNQhEhBG1hv33fbv6FzpRL/Vbd6fxW2jOoP2xaPNdQcW+lOib2YdSXNNXOhYz31VCf3xIf15ZJGk39ft27oxHdEdYF+XD0WOzTBsNRQs/ZYskg4ZOG7WHX/boyh4Tby7n+SEMd1Rc5Z8Z6En7/y0nsHCRQ3ZXEBK5bdU72FhJ++dM5JGzhMkYIKhIPsdt5PXUkK77Nw3na3hYqZBK3h57jWMDrqeMjKmbqy+ZGfUUVLatVo3hnDu6jZexqVNqjQf83x9C0ln05msWJyG8mYXUcMbfzC9ta6LGHtp3J4tjHUre2D988Gd6CBDy84jUAwOAVLmyaSs9xxtH+VO+O5GnXK/Vk8I7ki6cHy3dwQVlzNu1jV2WtJuHn209k58QrWhuDo7kv/sbybBI2tdIdgDr8fEegPYoeWkxsB4vjPkDre4uJj0dmRWJErTnPO1ybJzKFLhB1Z3OdkqCi+aN7aB2YnNwpPdRB+1jAQAfAbKNjY6CE13cgiuZnL2hZmWp4eQZi6TnOLmgztRbye5ieQgdHdSvVzHSuq1BeF0cPGPjaqzpVDbW0XtJGcn2s5g46RrTV8jE3EE/v21LFtW3srd+6BwMtAUE4GgSiALM1PA47t3GtMX8ebXxt2REsjlvZMC4uiT+TLetpPwiMogZAmpPbW9WV9HlQ64tlcWImHhrrNV3HhJcP6Vj+/LJLWPyjivpM6ynbXhYJ/zB6qfzunXsxxm2qxKjKSmTVNGNvKAv5NmpfaYnUdmpy8z7nqKMNyRTkN+BJosdcW7jN4BtM+9hVeatI+NX2E9g59iT6DB4Sy5+dO0qoro6thdoZPh+324trkmg6sVyjVNtDx5b9Jj7WWFSzR5l8t77On6UxigyQawgvT12xnUwdNByK4PaWqV2xtwx0jGCn51n3cb1Zv2L/HwB9R3RUcV1LbwJNO5jNtZnUs+q5bC0mZJSSsK7T6yZkN7NzGqrpOGzy8ftWdaq81VQzKXo0l9NwddCy8VfxsvIqzdxezu1KW/Oh8tTEduq3iLpVL3HF6pWd/39xFn9hFoSe5PPs0aiOiAMAzKzYhXg3f0EQBEEQhP5CXnFd585uK4YPxY7MjCOcIQhHD91kwosnzu4MX7Vi5WFiC4IgHL/IhFIvkF7ZjDEV4R3ctmZkYnNW9hHOEISjS9BkxlvDpgMATNAxo2hvH+dIEITeRoQlhYHE1I3Fnf9/9YQZfZcR4bjlg/Hj0BQRXlmzYOMmRPj4yhFBEI5dRJS7a8iEUi8wacMh943Xp80QQUmhT3gvbwr8pvCi2anF+2AO8u2iBUEQBKGviXW1Y8T+8J7SVXGxWFI4qo9zJByPeG1WvDl1MgDAHgxicvn+Ps6RIAhC/0MmlHoYZ7sPBTuqAAAtDic+GDO+j3MkHK80OqPxWfYYAECUz4uxFaVHOEMQhGMJHWE9qp7+iUSM8EOZvLkEpm8a0qKZUxE0c90RQegNXp85vfP/00r3QtO5/o4gCMcmvWU3DXTbqd+Kco/JKYPTEc7eRo27iEVYqTKXL5ZXg8VF58s8g/jt+mLpaqFz07aS8L+/ng6VYKKiCtbGr9toCYvcztlYDmsg/PB588QJaM0BAB9+O/Pf7Jx7/305CS8z57M46mYxI0aXsTi7SlNJuLiNCsKFYriqmUVRxmvayYXGX3VPIeGEkVQY2buE74Axas4+Et6UmMXiaIq6c4zdz+JYFWH2lPOpaO++jfy6wULlOhbeRmxVVADOZKA0bWlTxOgU4WlrG19x5o+h5Zmwhc/dxo53k3DRcCpYePm4Neycf3wxk4Rtm7moqUYvi5ZvNaNXbDNx2osbAQAnVu/AgVPD5ze307T97bxNm7Op6OJFg9ezOG8tp24JITsvT18TFeb71/qTaP4NBBbNSr1s3DuYxdGV+o0a1kzC7T4bOyfYQgUfW9xcENCUQtvRyORqFmdHDe1zHQ56Hd8w3ud0ReTcaHo/L6mehEvWUw0RXzo3bG3RVLgzWMOFEKNLadoto3mfS02iorqxNipYvjuKi4+aW+lNnDFyG4vz1rbJJBxZyvvPKg8d+3Q7XU03JJWWCwBAEeEcmlXDopQ0UwVIdTyNtXJR9qpmKj4Zk9rK4oS+puOTu5DvUDBp4qEv2+2eILCERRGEH8ywoRWdttNOUyb7uyrI743nY55V2ePCE+DPA4siIntWFt2044Nlys4PALyDaNqWVj7ouSwRMAeDmLgp/MHDbzLhjRn8Wr1CV6x7dfjqqTeCgfym0R364X2WJiXhixHDMWfXbiR2tGFk5AHsGRIWmPe4ledrO5/4bB9Mn//n5W9kcT5ZTJ+LAf7YhtZA++qHq2eRsIm/MsBiojbC7h18TNCUIUArUDQ2vXyMMDfRMcHfyseIUJry3M6oZXEOlCeTcMBJx4TWAm63WWppp9PNvNFkpVDx8cYD9P1E3XgAAPRYagdZK3nasQdoedZN4iv9E5KpjRBjp26SZdF8sxqrsuHOvDE7WJyP19MFCfFF/L43t9NdMEMOGic1g4uyI0jTTh/C7auKBvquEVRcszLt3Haqb6IbNzgyeJzI5dQGbzBYczF2+oHO/3d4AsAqHkfoe2SFUg+i6Tpmbjv0EvHaSX1kFAnCN6zPHozdKWkAgKzyJqTU8N3xBEE4NhEdAGEgMLaoHDHf7Ir7ybjRqIuNOcIZgtCzvDbr0MeyaRuL+jAngiD0JqKh1DVkQqkHyS+rxaCW8HKR5QVDUZTKV/AIQq+iaVg0+dAqp4kbSg4TWRAEQRB6l1k7D61sfnU2XyUuCL3N56NGoiI+DgAw7EAN4lra+zZDgiAI/QiZUOpBxu0v7/z/ojmyOknoH7w/ZgJ81vCy7JG7a6CF+uEac0EQjjrylU3o70S3e5BXVQcAqImNxtdDhxzhDEHoeUImE96YPg1A+MVp1N6qvs2QIAi9gqxQ6hr9VkNpZ0MK7Paw366jkvskWxKoH2tsfgOL09AWScLBEJ8/Cyp+ym/soBM/9g5euSEXLTZHipvF+WfeNNzz6scAAI/VgvUYjZhNh/xx74s4h51jUdPawTVKnHX05T/r+iYWZ1cbdQ7evCOHhE0dvBwmT6U7V6ypGs7i6PtpedZHUt0dfQzV2AGAjXto2vHruC+2P0rRKHLw+/Yn0/vevT+dhKOGcNet0No4mj+D6dOo6XUkXFaZwOJkb6H+7+Un0wvpBr0oqpi22cYT+FaznsWKL3sBjfP619P4dctp2u0GGjrmsdR/26b40PsBrJmSi1lf7Udkuw+1GTGwLaH14jDQnNQ1eqNvYiKLkzCK+mc3lMTz69joxd2ptKzs9byimqNpmzDHcI0au43WU6SNxmmq5m4T1nha5qFKLlzgSKBfIndUp7I45jpFiytDuW4Fv65uVw4Y6HeVttDyGzSWtle/wZjWsIe2YXs2H59aVT25Fq4VUF1CddTcabRdOat42vZxzST89oYpPI6iFeAewesyPpqWudVMdQqqV6excyILqe5DkzeCxUGpUg+K7la5I46dEmylZeOuUisOcEymaUcZ1OXKdYd2qfL6fQA28/wJwg9kT10ybLbweBTFJRbhG0TH34hRzSxOs4v2HWuI20EBBz321iba1yM6eB8Itii2XDp/LvrrrZ1fOv89ZTIAjerqdMXeNvpG0lN2unyP+f70t7I7Qn4+Hl2IOz8K2/UJ5R34xzmzcfFHm0gcU5BfRDfRdv82uFBM9Bj6fPUfiGZxVD2c1gx6XWctT7stlj7ztDiu52hWNAojbFRLyFtJbX8ACCbROLYybkPog+izXdVLAgBHNb0Hbw49x17KrxtgthOLgopGqvmTMKmZhK0GtpNnOz0nMISPT3WKvWpu5u+nrgP0Om0Z9B4iy8HwT6F22qerJ7A4zgZav02FvL6dsVSnyGahdetexvVxzRPou1tTB38HcxTTewgpJmS5M45ft0WJVMHf/1yzaBnbNP7ysXnlIXGwsO3E9VuFvkdWKPUQhWUVSGkJPyBWjMiHx8oHRUHoK1bOyOv8//RVBw4TUxCEYwX5yib0d+ZuOyRGu2T0qMPEFITeZV9KCoqTwi/kU/YXIaZd3N4E4VhHVih1DZlQ6iHmbT5kFC0eI0aR0L/4etpgHPzoPH2lTCgJgiAIfYs1EMTsXXsAAHXRUdiUY7AVkyD0FZqGJQUFAABLKIQTd+7u4wwJgiD0D2RCqYeYu+XQhNJnY0b2YU4EgdMcH4Edo8JuQ4OLG5Do5luhC4IgCEJvkV9Wiwhf2JVmaeEo6CYxUYX+xZLCQx+I527b3oc5EQRB6D/0Ww2lQJMDpm90AJDt538vpv7Frmjud+moor6trkzuv6nIucDcTg2YQCT3UY1QtPg6QtS/ON7dhoLycKTNmVloDsZj4sU7SZxVu/Ogog2lvqQnDd/D4ux5tICEQwbCQLqT+swiQJfQxe/gS+oOjKB+tTNm7GBxvtw8goSjUqhuSEZsCztn954MEm6awusSQZqfOaN3sSirSnPpKR5al23VUeyclFm1JDw6kYsoLjswlISnD+OrdTZcpWgdeWm3CQR4HbRGK37Vfh5n1Fn069a6jTQvg9bxc1ryaXsMxXB/+KQo6ottpDfTMC6EpRNHoHB7uExG+YqxvPCQn7JpF9f88STStE213I3TEkMnpkIGYkxaOy2byBx6jquR++snK5o69cVcmyluCL1O5T5lV0U778t2Ky2/jjSuA9bhpW2tII23o5JIqls0dVAxCa/aVsjO0ZRuChP3xW8bSsu4dj/VNglE8XuKqqHhVgcvz4JhpSQcSuJtbddu2u79W6gGVUcu78vttXRcTsltZHHcq2lZxcdx/bO6fXQ8CiYo7XyQwX2vo/fZHmGg+5JD8+yIoHoNLZVcZ8ucQNtEwMYfm15F7yIqv5nFIRpZfbSqubeWVA/kZdsDHVO9FWZreMxqHcLHX/s+Ooa0RHO9jKgKGm7L4W1eHdotblrnfj7sILqc9tu2EH3OFG49NHgtLTzKH+LUIaM/NdH+piWkasANtP7cg+W5fvBgtDidiO3owJydu/D5lKEImg89u6O38r7SkULLz17F45jjaIcKOvhNmNuUehhC7SJ3Pe/LMTFUU6djH3/GxQynNmPLbsW+MrCdrFZqwPgyuD2ge+h9Ds2sYXFKo2haM1LpzsPbN3A9V1NAyY/BvHPTSGq3tSv35OcSVYippPfU4uR6iUMLqP0XSOGJV2yjOpuO9bReWofy8jRV0XE5Oo+/T2nlNNPxSfxDcPuOOBJuGUTvycIlQBH7FS0rXyS/b/dQeh1zJK1vrYy3vdAgard5HdzGte9RNL5Gcs1PMvz0wVDUm65oA9l2ks8/PUBB+SFr7LMRBYeJKQh9x7KphyaQCg5U9mFOBEEQhOMZTdcxqjpsO3msFqwYPqyPcyQInIDZjM9Hhj+uxng8yKuq7+McCYIg9D0yodQDFFYckvBfOlImlIT+yYGsJJSmhb/aDKmoh9PDd9sSBOHYQde1XvsJQnfIbGpArCe8mmLF8Hx02GUjE6F/sqTwkF1fWFRxmJiCIAx0etNuGsi2k0woHWVMoRCG1IW39q6MjcPuVO5uJAj9Ak3Dl5PDbnZmXcfgSvnSJgiCIPQ+Q+sPucN8ViC6k0L/ZfmI4Qh8o++VX1F7hNiCIAjHPjKhdJRJaWmBLRj2Nd2QnQtoA3e2UTj22TzikE5OVk1TH+ZEEISeJgSt136C0B0ymw7pra0fktt3GRGEI9DqdGJvagoAILXJBWvg/7P33mF2XdXd//fcXmbuvdO7NCPNjLrVLbnLHeMSXgMOsUlCHl4CIQkhwI+8hCSYvHlNSQIkOJDgEAzYYJoNGOPeZVm9j6SRRtP7zJ3bezm/P640o7XXwZLs0RRpfZ5Hj73vrHPOPruuc85e3821LAVBuDiYSb9pPvtOc1aU21sTgt1eEApzmPlgPWajIsyLSvnDcI+Lir/WeLmA2bCVCtTZe+gy6/K1Y+yY0QQV+7WcoU3dODSVj7J3hfDpu38FAPjqb+8ix1jrqJgeAGTi9NojSa4aN76Kipq98eRqZrPpNipqvfNEE0nn7+JCueMBeq0bargguCVMrx1zUjG1oN0gZMpChQZVQWYA0DK0A726g4cJ6i4qCGcfpCJyqXp+7fSvaT0l/oivwLE7qLDcMX8lv7ayBJGJHKa42HsqQQXqio/w5ftHS6tIWhWEj97J26vWRturKcK7cPY79LzWRXyACkcKAoA7a6baxiL/OMrdhcY8XMlF+Tw1ND9xA3FHu4X21RUL+XLwExO0XiIx2o6sE7yNuOpo/Tq5tiOG8+X0B1X3MMfLIZ2j18qm+LVNUVrG/U4fsyl3UYH6FxURbjPXEIdeTe+p0mOw0952Kk6tCt3qVi7uGFH0/s0e3jeO71lI0jknP0/5Ijqmjjq89O87+PeIZCn9bcTkYzbmZTQ/8e4yZlO6KEjS0UO0AEvW8L48mqXnsXBtR1jsdBxJhGjbM3ENY2QTtP6bavicMOah81HioI/ZFF8WnPx/W8pgcwJBmAYsdXFYTvlORRbuO4VsVPy1upyLvw4V+Ui6tCTKbCasihD9Sdr37Zv5eRMJel5bZGrcaZjwF2ysVnRU8Xl42jkX4ea349vPNYHtGcIoUkPV9uYGRieajtxceA7V12PZ4BDMuo7W+Aj66wpzVLSW+0UW1d8/5mI2qu/U2DLMbLrG6ByXjVA/zTnOC9SpbGpkGjLwGXQfSWvKPMg2EIHBZjRJ7jtZItSm3+VjNmVuOlHvUES4LWX8npK1NEO+Ej7Z+16l9ZBWNjDJcxcXwSU0v3kfHz8H36wl6SyvSjhb6EYjUQcdK6tf5Zu/JCuV5ykzb0f6ZfS+rSd8zMa+hPqR1j3UN7FezsflSIae58xx+TSa4jvlA7QALQb+NWLUd6qu9zMTv5c6tfY9vECz66fqVxPfac4iK5SmmfrgVIcZW8F3HhOEuURvZSlCrsJEVj3Md9sSBOHi4fRuJTPxTxDOFWcmhfJE4aXV0boasmuWIMxFDjdMre6uHQnOXkYEQbigzKTfNJ99J3mhNM3Uh6ZW/4wvN9iXUhDmEpqGtqbCF5fiaApFkeQsZ0gQBEG4lKgNT62GPHTGg7ogzFUO1U+107ohvupDEAThUkJeKE0jpnwetaGCYxRa6EDaM2cjCgVhkkOL6ib/v3pIVikJgiAIM0ddZGpl96EF8kJJmPscra2dFOaWFUqCIFzqzNk3HomMFXlTQQcgknCwv3vddCXFaIyHl2lKAHdQ0bUBuIZO1kn1cJK/oTpMAJC5QolJDhSKsSYQhDVfiDN9o2Exvnlsy6TNR255kRzzg+OXs/NilF77WGAhM7Er4aPxZq6PsrtnAUlrQeWeirjmT07RjnnstSuZjS2hLMWz0kBr639zLRTcQeNuTaU8dth+iMbM+q7jsePjIVq/rir64qPZw1+EtI81kvSb25cyG1WDRo35BgDfaqrX4rbRMg8O8Vhnc4Kep/n3TjCbgzuaSdq0kMaBF/3GQENrvVKeab48cuAGek+2AI+HNvVO9am24kYArwMAygaiONBUz2LoASDaTfOTK+GB9aksHVL6Jrh4kMtByy+Tpm3PsZhrCTnMtOEny5kJyhdRbbARP62XG5ra2TEHgvThJZ3gfUNdgRru5/Ud8tGxRXco8eY5HsKhh5VreZkJYrXKD4ommW7mdevqp9cyd3GxgHgNPc4a5u1o4oRSdz56T5vuO8iOeWbXWpK2FfHxyeuiGmQTY1xfLJqmv+UUE6NlwWr9r/X1MZtXXl1Dj1H69tCYjx2j0uPnc8K1DR0kHb6Kz1m90anjTGcVF7kwzNS2tPN569v5TiZjgUkrjMOpOO9bTjedg8ejBqH5SvsMxXl7NjupvkjWTceZ4p/yY/xb6BhiO6WXVxs/Y4XSXHqhNE/0fCaZb/mdx6RsVpyorsKywSFUjEeRjpuQtZgNtRrzJ6mPmynjFaX6TiPj3CGwOakflFb89twSOrcCXIM2UGmgs9RK/efwKB0TrlzCNVX3jdF+Gk8YPE4q40iuh+vjDJXQcUNT9By1PM+vOUTvWys10IVqoGldyV7eILvF3TRt6eB+W1QZnmxBg7o8Rn1EvYT6bSs+Rv0FAHjtjVVKZrjvVKyM3akR/oyQSNIx32an5WfW+TOOcwmt//Wlvcxm5zNU29a6ia7KM3oOUjXSjPyrzU2dJB2+gT+n90amjjMbCV1eYGbKbzp9rfmKrFCaRhrO2KXkyOKaWcyJIJw7h+vOWLo9Iku3BUEQhJnjtPZk2myeGUFuQZgGToe9mXUdtWPiOwmCcOkiL5SmkfrA1Fc2eaEkzBd6S8uQOLUrUK28UBKEixYRlhTmGvZMGuWxgiD3oKdEBLmFecOZwtz1o3ynaUEQ5j8iyn1uyAulaaQkNhWy1FVnEP4lCHMRTcNYaWGJsyeahCk380tKBUEQhEuPksTUlupjxQZhE4IwRzlZObWariTMw80EQRAuFeashtJ8xJMoTCh5AH6fgS6BIMxRokVTcexF8RREmlsQLj5EQ0mYa3iSUw/iIQfXzxCEucqoZ0rDpjgmO+QKwsWIaCidG3P2hVI2a4b51NLnXJovgZ5IuUlaz/DFVqo4bbyBiwiXllMB4ICLCqxFruci0jdVU0G113svAwB44wXHKGp3IDRKv7QlF1EB3ivru9l5tx5aTdJalpkg3qQIgod5FeaTiihvkjbQdDd/2WVriJO0PszFidOKCLNLETTvv5kLgBaV0PPGwlyoc8ltVLD6xJMtzMaymYZihY9TweDrr+ei10dcVJzcVM7r0nmQigRm13FB6MxTFSQ9cA0Vz7b6uCNhHqZlfGhbM7MxLaRlY1EEly//873smIVOKiL8/UduZTaxVrXh8P6T9dBr+R1T/ckynodexhufzU1FAnNBXpdDw4qQs4FodDSniLceom0tvpavkGofpUqIjro4s6ly0robTVDx5JeOL2PHmON03DDzIQLOhVGSXlU6yGx2b19C0hkPvW/vSV4OyRJ6bX8pF6x0VtK2lu5Txr1KRaUfQLqYnjdbz8vT1UfbRKKK58/so/1ldeUQSe96WBGRBGBupmNNfoC3kfEiWv+b1vC+m1OEI3dFGkl6ZNjHr+2ibXZXvpHZuFcFSbrYRu9xJMb7yh9teJWkf9h5BbPZNrSI/tDDH4zPbBPpNK83QZgO9JwJ+Vyh/+hp7hfFU7RtmlLcxqNoskYauZ+hjk2pIjr/j9zGHeNr6qm4777nlqJ0Ymosj+MSeaEk4tm/G7XZzOGyGvFOCWcXh1NIR+2AhzsR6tykBbmvHB6gzwyahd94Wtmdonw3/bt/M++nA0NUk0xfyP3VSsV3isWp2PObh6l/AwCWKK0ou8HCdn0RXbW1opxvuNP+ahNJp330vkuP8LkyUUHvM1jOfSdzDZ3bLd3UF0lVcx837aXnVdwOAICni+YvVsdtciU0zy01oyR99N/5iS1U8xqmXt5G4sXUV165sYtfW/Gd2sJUnTw1wIW8827aZnfkeP6wXtk0SNmcKBrj88g9V24l6UfbNzObHX30Ws5Oft9p71SZpzLiO81V5uwLpfmGpusoThUGz7D9EnGKhIuGsGuqzXpiSUAiNgXhokOfoRj9+fyVTZhZTvtNABC2ie8kzB8iDgfSZjNsuRw8cVmhJAgXIzPlN52+1nxFNJSmCVc6BbNeeIsakWXbwjwj7J76enN6pZ0gCIIgXEiK01PzTUQ+xgnzCU1D2FXwncRvEgThUkZWKE0T3uTUsu2wnS+/FIS5TMitrFASBOGiQwegz0AIyRyOUhHmGB5ZoSTMY0IuJ8ojMbhTaViyOWQ12aVQEC4mZspvOn2t+cqcfaFUtMcOu6UQL7rojk729xNBGhcc7+e6QKlSWjVl+/l1tJupjW6laet+7uC8uprq4aTrsnDkpnRWJirsMHlonOfDu64kaXOAaxRZTPTaWRdvWqY4nayKevkis3W/f4ik9/yMap1ElvLYYX2QvgTTi3lAtK4ESSdPKjuy+Ph5nTZaDtYSHl9+eLCGpJffcZLZhNI0/tm+LkjSv35hEzvGPU6XDiYyXM9FjdfO9/B2FFlE79u5l+rYpMoM9HHU+GwLL88iRYMqGqRtLZXn3fNbr99I0i6jNYaKbkb9pgFm0tlRTc9TOxUPXZsNGsbvZ3tpG7EYXLt1RT9JH+mvYTaWERojHa+l17qilseFt7noeaLHfMzmkIfmz6RoAOWivM/lHfTa7h6+3DRWSfO7rWcRs1mxnoqOHBun41OqmLc90wqqzaTGpANAOEmPc9JQfGTqeX9avoaOl8deXcxskq20bJzH7cymbpGfpGNZajO2gTvOWhE9rx7i8fC6oqu1o7+R2dj66HHmhfS8NT4uG19mp+XZEaxgNskB2ncti2j55R28n/6473KSzsUMdOscSj3U8rrUU1Plpeuyk6JwYSh7A3Ccamrl93C9t46AEs/cxT+AJZWuU7Wd6w9G36PMnUpXL9nFx9utujIWLdThOjz1QmmkmY+TTFNnJpnP3v2ljFGbuUB1mSqxACOF/1/kGsHxVC2zsXbTuVM38J1q11KNwu7uKmbjHKRzboTKhGLDAgPfyU19PRzmPm6Xl+Y5W0r9V7OBVmvOqehEdvICnqiig8L+0EJm03QVve/O4XKSTvn4teNr6HhUZOO6OrEELXPvIJ2jMwu477TocpqXgWfrmU1oBT3O18b9oOIlAZrfLC2H4Wt4HeSKaZlbAvy86iPBge4FzMbdTRuXvpjmt6yU68SWOqgmaaefa16Y+ujYHG6lPkzWyev/x50bSdoc4feUc9LOGjfwabUzdP7Ec5q7SMjbNHFm/PSZqz0EYT4QLZ6afN1R/jAsCIIgCNON99TuuDG7DVmLrO4Q5hdn+k5FUf7iVRAE4VJgzq5Qmm8UJ6ZeKEWcBl/ZBGEOk3BZkdcAkw64Y/JCSRAuRvLQoM3Ako/8rC4rEeYTRad8p4hD/CZh/hFzn/ExLpYGfLOXF0EQpp+Z8ptOX2u+IiuUpglzfmohXtYsxSrMMzQNuVPt1pSTRaWCIAjChcdyynfKmGV1kjD/yJ4R+3/mc4AgCMKlhKxQmiZM+an40ZxJXigJ8w/dVHgzfmZbFgTh4kHXtRnZlnY+b30rzCymU2qneZO0GWH+cWa7Fd9JEC4+ZspvOn2t+cqcfaEUqwWy1kLB7u3hQm5mGxXucjdwobF4igqhReIGwriHSkja1ky3/ow2cVFZxOlvmjkPiz6Vn7wFuHMZFcYOZaiu0pH/WMlOm72HiuAmUvzay6uGSfrYAi7ct+NJKsJd2k3LKlHBqz1bRgXhahv8zCb6LBX3u+revSQ9GPeyYw71UrG/m5YcYzYvvrqGpBe3jDGbp56iotvpUvolyMo1+VD9rj6SvqXqCLP59ss3kbQqPA4AN62mx724m9adY5h/WV1+RQ9JH32NCznHrLQ93rnqIEm/9n0qaAcApiaav3gjv/G1S7tJel97I7NR6R4qR0Yzw4YccmkTLAO87aXLFDHCo/zFabtZETF08fJ0NVNB5WiMiiduPbKUHXP50g6S3lFWzGwsbloWWUWE21dBRZsBINJLheXTHj6YmxQR6ZLiGLPpCFIhyVycXjtnIKuWS9N+mDnJhRodLbSsIg3073qU11OulNZLbmWc2ZQ56E5+EyX8PAMR2p//tukVkn7EtJod09FG69+1kI/Ldgsda8ocvDyPJem4sbAkSNI9/bS8AWB8lCoJJ2sMxB1LaBspt9Nrm2r4A4H/ML2W1WAhRVYR89aCfIzVSqZCSTUT38BAEKaDSIMFaWth/Bk7Wcf+rs5xtiY+PmSSdPwKR7hov2mvMmYspX0r2MxFuRFX+oUpP/lCKWcyMcH+GWemLv92Hhq0C5S5uf4AM4MC22+HUHhq3o6OO+FK8gkiUUEzXH6Az00DFmUDEze/yfxS2ldTyvy/bz/fgGP5ZdQXPVzuZjZ68VuLcFur6XMRAOS7qZh/0scrSrPQMcHl5RpT3eNUAFpTNr3IGGyanUvRMs6182c763JaVqEmOh7pEe7zZCuo7xRZy/3rYie9h3g590WjQepXfqH1BZL+rmkDO2ZoH32+0hfzcdlpUQS2Xdx36k3QZ8LKcupD+jvpMy8AJEd8JJ1rYCbIltJr1zsV36mO+/qp/fS8eYO1FqpvbA3y/pM5QyReN/O+I8wN5uwLpfmG6Yw9BfPaHJ+gBcGA0+1Wlm0LwsVJXtegzcADZH6uP6QKcwLTGXONrFAS5iO5M9qtWVYoCcJFx0z5TaevNV+R2KxpQqYR4WJBlxeigiAIwgVG5hphvnPmwrF5/CwoCILwjpAVStPEmV/XzLq8XhLmH6dXJskKO0G4ONH1wr+ZuI4gnI0zXyiJ/owwHzHpZ66yk2/0gnCxMVN+0+lrzVfm7Aullau74HQUsndgmOsANJQESLproJKfRKkYrZ5vh26aoHG1lW4aF5p18djh8X4ag6q7dOS0qYnElNXxxhDVzMn/msYJGxV8KkPz8sHWXczmiV6qW1LjDTObzqU0Nth0bZCky3I8RnWkt5SkB3vLmM2i2/tJeuuP15F05gqul6Ipmggvv7iG2VhT9AXGb3+1mdncf9+PSfr/HbmNpLNjPnZM1wi9h+/6r2Q2tgB1ANxrA8zmhf3LSdo1QMsvvpi3q2SO1nBuUZLZ/Nnq10j6p93rSbr199vZMftfbyXptRu7mM2R56jNwmsGmU3vEK1vb0kc5tOOkRVwDfNRTVPaTZKHYrPRUMvyl1OxbhpzXruEamYNalyLa/fhZpJ21vD4clXMTr10OMaFjGw1tH8nQ1wrZGMVbfe7TjYxm/JK2g9zYXotI8kck5XGgtesHmI2q4oGSPqpJNXv8mznOgAHk430Bxe/uH+U5q91RT+zOabonz00SjW97GZ+XpdyCw0rgsymvY0G6NeuCjEbKONGtYOWb1Ej12Lo6l9A0kZtzzpGy6t9jOYlX8X7smaneTHV8GvbTTRMNJniDxZm/9S1tYy8tBUuDE0b+id9pyODNezvNWW0vw0bzPWaEvUcX8h1K2x+Oh94i+hYmnPxfpLoLVJsTMhrGky6DnM+Dy2nGWvmXAimy3GfqWUpsvzlnaEW3zTVv90xNWeYirNw93LdHS1L/cFEmYEQn5IfQ5m9DiooVLFygqTHQLV7AODo3kaal3rui2p5WjhqU0saaKiZa2n/zga5L7Kqjvovh49yPVxXLdW2zPQqzy8ZXlEmRUO3ZGOQX9tDr/1sfAVJV77MpR06E9TnyRdxm8Qw9V/r1wwzm55OqmP0zSH67GHkOxX103vyruN+0cBeOp7b1vPnP91Cy6vGSc/jbuXjcqCX6jeZuBsEu6IVOzhC85Ks5fdkU5pNpo73DbPiO2XT3HeyjU31Hz0jkhxzFXmdPk2cubObSTRohHnI6S/EOdGyEARBEGaA0/ON6M8I8xHZ4VkQBGEOr1Cab2TNU29vbVlRoRfmF6ZcHtZc4UVo1mLw9UwQhHnPTG1/O5+3vhVmlozZDGsuD1tWdj4U5h+2zFS7zVrkhZIgXGzMlN90+lrzFRn9pomwa2rbSm+ch8kJwlymKDa1DDbq5subBUEQBGG6iTgL4bce8ZuEeYgnNhVCFnHx7esFQRAuBebsCiUTdJhOBRXbrPzLVfdoOUnXVHHtmyE/1WLx7rcym+Aqeu7wDqonEFvMVxutX9pJ0gf2LUI0O6UN4POnoGl0+XbOQd86Vnygh5137HA9Sf93+Gpms7mFXnvX60uZja7ENo+FqW5BKsZjnRcuGiXpWJrb9O6mWlbZZTQeVht0s2Mco/SdZaKRx9DmHLQOHEe51s2Xjr6LpKPj9FqrbqDlAgDtr1Gtm79872+YzX9tv5OkgydKmc1t1+wn6dcqFpO0cw/X/InW0ZcyuQRf9fPfT9xC0iZF82VXPT+vpsR0B/9+AbPBNTTpf76WmeiLaJlbj03lbyLnQdrL35Jni2ibzvsMvijH6X26yrnWUXyU1t1ggN6naYi/0LI3UX0uo7f4mZNK+yujfddm520vFaft/IbWo8xm7wTV2dGsPKR13E/j6s3Kq/p0MQ/nyCn9sK+H650s2Eg1Enxu+tBVdQfttwCQfpnmd9nNfKw5+Suq8XbcV8VsvGUx9hs5pr+a/WZZQ8ee9oO8fZa00ns63NbIbNxUVgu7YlRDa81y3t+LN/pJOhkqZjamEtpmi2xULCD/qlFfpm3NbOZzgnqepIm34Vzx1HH59OysYpUVShc/mqZP+h9mG29nQ8NU/K6kjmt1BEeoFkvFTj5+ja9XxsHX6DHRJfyY5Sv6SPrkrgWIWJyoQhiObBae4Tm+unua2rX2NqL7pEudwQXSQ3o7FI9M+RXh4RKkSvhjVdpDM5wp4e3cHKdOg1bJtW5yim805qd9ztHPr51rpZpJRm3PdoKeN1lOjcx27uvlEvRaV644zmz2jtNnmryd+04xxR+0Kr5Tyscbfj5CfSf/yQpmE7yaPhO6i2k5uP+AajcBQOa31A+qv6uP2Yw8Sv3pbh+/tqPirV+O9/fwY3A5LePYLu4P2pZTP7h7H9cX9o7QujsSpc9BLav5PQWuVjRA/UXMJlVG82dX/OnKZ7nPE1Yks0wmXv9OJ/WdYmH+7JnxTh2XTc98Z5cVSueGrFCaJsLOqZcg3oR8aRPmF57kVJsNO/gLPUEQBEGYbs6cb4qT4jsJ84vTvlMeQNQmK5QEQZg5XnvtNdx5552ora2Fpmn45S9/Ofm3TCaDv/mbv8GqVavgdrtRW1uLP/qjP8LgIN2oacuWLdA0jfz7wAc+cN55kRdK00TYMTWReMQpEuYZZ7bZiLxQEoSLkryuzdg/QTgXIvap+UZ8J2G+4UkV2mzM5kBeRLkF4aJjJv2m8/WdYrEYVq9ejQcffJD9LR6PY+/evfj7v/977N27F48//jiOHz+Ou+66i9l+5CMfwdDQ0OS///qv/zrvcpqzIW/zjYTVhrTJDFs+B4+sUBLmGWeuqgs55YWSIAiCcOE5c4WSJ8VDpAVhrqLl8yg+9UIpJB/iBEGYYW677Tbcdttthn/zer14/vnnyW/f/OY3cfnll6O3txcLFkxJUrhcLlRXcxmL80Fep08XmjYlLilf2YR5hoS8CcLFj67P3D9BOBfICyXxnYR5RGksBvOpwe7MlXaCIFw8zKTfdKF9p1AoBE3T4PP5yO+PPvooysvLsWLFCnzmM59BJBIxPsFbMGdXKO3tXQibrSCibQlyQeNlK/tJ+ugwF5W1OaloWGgRv13bKBXqjtfQ2rSN8GMOTFBB26YVhXjE1HYzEAPc6TRK/8WJtHnq3JVfPEaO2b1tCTuvbwkVq02muYj44TH6BjHr4+J+Jj8VNctUUSE01zEuntaTqCRpexl37NZf007SBwapIFxTMxXFBYCjxxXRODPvLasW0HjO4WebmE0qRIVEHVSTHe2j/JhMCb3vr+29idlgLb1P3UAQ7sXOVpLO9bmowXJeVsmf0fZoWmEgyuyiv2UUwcLyN3nb82+hQo0n/5C/Ey6poPUQO8CFxjU3FdjzalODR7QFKCqbUA9BfIwKQNaXBZlNdD+tmFQZX75p8ihCyEFa5lotFU8EgFictlk9w++7ZsU4SVc66YB4IsCFEFXR2pePrGA2lfW0LMwBXi+lzVQAMjhKy1ytawCwD9L+narlouGvnKCi+9YiauMf4iLSpZupyK5V42NEze10/KxmKqdAxwSty/AIFWrUjFbmDtN68jQHmYm/l/ZlSzXvP3EfLRs9Tet73wne3xkuft/pEer0lzTSFRHDrbyedAvtl96XuU7G+AZ635Ygb59Fi6aEL1MpXteCMB0c66qf9J1sE7wd1q8dJunufj4umpT5IbCE+yKOIToAROtp33EO8Wuf9FOR/oq1ozCVpIC9hXSVh/sQs8rbCN18O4LbF/K8En164agMT43pgQo70otSsLm4mHZ2lM6dZZX8Yc30JBWnnriBXy+n+PuWCfpslFrA5xU9SvuuluUNwraG+gz1LipYfdJPNysCAM1G58Wd+1uZjbtR2UxlnD/L2ZdSQejsMPUzM3yvH7j66D3EG7jY844jLfSHYjqm9fRz4WnHtXQjErOB2rvrHjpGGXki3WO0vPyD1OcxGfRJS4DWk2kpFw1PdNGNRnJ1aWYTLKNlbErRcbj9CBVKB8BF7l28PNXNcmzN1E/3r+B+sW6h5Vf1LC/P4atoBdsDBoXTeoafdon4TuEw7Rd2ux12+zvbgTuZTOL//J//g3vvvRcez1Q/u++++9DU1ITq6mocPnwYn/vc53DgwAG2uulszNkXSvORWPHUg3FpOoJhJ3+QF4S5iCdamBxyJg1xpx3F4E6RIAiCIEwn0eIpJ7koKvOOMH+oCk099IXdIsgtCML00NBAd2v+whe+gPvvv/9tny+TyeADH/gA8vk8vvWtb5G/feQjH5n8/5UrV6KlpQUbNmzA3r17sW7dunO+hrxQmkZCJVNfv5uiI/JCSZgXWLI5VE4UviRNeFzQDZeeCIIw3yksqb7w/VtC3oRzJex1IK9pMOk6ykf5V3lBmKssGZpa7ef38BUvgiDMf2bKbzp9LQDo6+sjq4jeyeqkTCaDe+65B11dXXjppZfIeY1Yt24drFYrTpw4cV4vlERDaRoZrZ1ajrgk3P8WloIwd2gZGIU1V1ji2l9VchZrQRAEQZgechYzxioLD+PlY1E40jyMQxDmIqv6+ib/v69SfCdBEKYHj8dD/r3dF0qnXyadOHECL7zwAsrKePiqSltbGzKZDGpqas7rWnN2hZIpaobZWogFzZZwLYwjvbUkbQnxd2M2P41JNa/lO4jkcvQ4U9ak/J1r6uil1OHp6CkUekAvxrvRBgBY6OvHwEemYj17e6h2gInfEmIJ2mCyAy5m425VdJYCPCa59Ypukh77biNJu/5ogB1jT9Jrl995nNmkX6NaC6lBGvvaeYTG9wKAImOFRH2W2RzspjpLtrtizMbloGWeO0xXf5lT/O1x1WKqqeM/UMlstCZ6Lc/CALPxd1NHQffRe7B18aXOmTuDJO0yeLtd8n36Ravxb6jO1v56RX8KgNZFNXP0Yl6euTxtw+kK3tjMZ2hZXdY79fKzv7IE+byG8W7uHBXV0q/Hw0e59obeQJcmaBnePjFO+5SrntZBq2+MHXLgWCNJVzdyrY1Ehvb3o3todHumisdel5bQa8csBh1TwVTDNZ5GFX0pk5uWg27jSzYyyjiCxNmHYw3qeXmse+412kaitwWZzWCc5jcwwb+u1lXRvjCo1KV5lOuqWBqoHlKwn2s82YK0L2TTXMy0uoXWb4mdnvdk0GBS7KDj5ZLmXmZy1EY16AJJem1nOZ8jVpRRzZnd9gXMprmSjjX9A7XMxnSGCIrpQgmtnAVd12ZohZKscpwtLCENVmthDkiX8vGhp5Pq+zmCvK5co/S30CYeipaspPOMqmun5fh4limn89XgicIc0uWuRBUiMOnA8v5B7F3UyI6dq8xSVz5nzpa/6eqqs1oO6j2cS16M7vs872Flf8GXTlvMGPZ5oOsaEif5139LA/UZYod8zCa/WEkbvFe1jdI+lV9Iz7ukjPtOHQdp6Eyxga5hIk19sv43qe+Zq+V+kbuUzslJCx9rVNL1/KbSijajRXmMyFt5pcSa6LVMcYO1EUr96koDzfNHO7ieo7589G5uNBSl9Zvyc/+lpJrq30yk6U05hrlfnG6kY2yux0Djya/orqZ5/pzLqB5WiYP6ND1+HjnjPEbPU3v1MLPpsNPnp0iclpVWxeeIFZX0PAcdDcymrpb6eqGecmZzZuubDc9ipvym09c6H6LRKDo6OibTXV1d2L9/P0pLS1FbW4v3ve992Lt3L37zm98gl8theLhQJ6WlpbDZbDh58iQeffRRvPvd70Z5eTmOHDmCT3/601i7di2uuuqq88qLrFCaRvxFbsRshY65onPwLNaCMDdY2TXVVvsqfbOXEUEQBOGSo6906iFnZR//4CUIcw1PPI6F/sLD8EC5D3mTPE4JgjCz7N69G2vXrsXatWsBAJ/61Kewdu1a/MM//AP6+/vx61//Gv39/VizZg1qamom/23btg0AYLPZ8OKLL+LWW2/FkiVL8IlPfAK33HILXnjhBZjNBgsC3oI5u0JpXqJp6C8rwZKhEVQGo6icCGO09K1jFQVhtjnzhdKALNsWhIsWHef9Ef5tX0cQzpX+kqkXSqt6RS5AmPucXp0EAL0V4jcJwsXKTPlNp691PmzZsgX6W4hWvtXfgIL496uvvnqeVzVGXqlPM31lZ3xpk1VKwhzHks1hWc8QAGDM50bSzsOYBEEQBOFCMejzIXdqM4iVffJCSZj7rDqjnfbJCyVBEC5x5IXSNNNXLi+UhPlD88AoHJmCrkW/rE4ShIua01oAM/FPEM6VjMWCYW9Bb611aESEuYU5jwhyC8KlwUz6TfPZd5qzIW/WqgSs9lMCjgbCvvoEFRHLcV1kRBXhtpbiILPp20nF54pXU5uiUn5Mf4ci7nzGa7k+75RY7IqTQ8ifEv127qWCse/7w1fYeZ/47haSXv77R5nNMT+99uYtbcxmZ99C+kMzbaC5n3DB2NASmk78/ZXMJrOdLp1zBhRx3SK+tE7V5bRO8LrM1FDBv2yfm9nEo1TULtOgiHSHeVMOv0bFR51cSxkRJ62XXBMXlnMM0Txni+h7WCNxv6wi9u5zJ5jN+AofSY+8sILmZTE/RldeAf/VFS8wm//8+btJ2mLn9WLvLpTXugNTIo7DmQo49hQ6UriVCyymj9M6MBmMe5lKKnytTfCdCfJueu74GK2DQ2m+s0DVVloWw2YuLGiO0cLJKiLcWoy3kaBFEVSc4JU5aqc2rjIu3JxWxPtrF1GR5uFjBkKDLlqANdVcEH60k4pPl9VQEfGW6lF2zK5i2v8tGhfUNL1A67LkpgiziaRo3bmctM9lMryssgO0rEwGOp1qdnLlXCx99CS9b38Nrf/csIGQ92oqSHr46EJmo/votbKKkPDVDSfZMTGlbk0G4qNdE7Q95isM+s8ZAuWpNL9nQZgOcnVp5E5tAqAb+E7WcToOZh18fggqPkOtl48Pwa10TNPX07HJXcFfCgWOKuP2Gd2v31eGumAQZl1/a2HuaRBTnnXeTn4v0HPGXBcVn6ucDnnLaGZkjpagTCs05okVvEAdR5QHFIO6TFbRidEyzleLZ5XNPrRhOke3p+imEwBQ+xwVRh42VzEba4xmKFFD5y9LhK89iFnoPdnGuX8VtdO501zJ/et8ll7b20L9oOgh/rIupzwieOrDzCZ+nG4I4q6nfltrHRcw3+2lotGVBrsn+Z6k9xm6k/vpMUUs2+Km873JaFzupXWpGfhOqj+VMthwRz9G7ztUT30l6wD32+wbgiTdfYhvCKQrm2PllPUoGxd1sWNiWcX/t/KbGhjzkbRB84TWO/WMkMmI7zRXkRVK04y/qGhSmHv98R5YsmffNUoQZov1fZ2T/z9QxF/SCIJwEaHP4D9BOA/6SqZeIm/q6HwLS0GYXaqDwUlB7mFnCXRNHqUE4aJlJv2meew7ySg43Wga2msKKyy8sSTWH++Z5QwJgjGmfB7XdRwBAKTMFvR6KmY5R4IgCMKlSHvV1MrUGw8fmcWcCMJbc2PbVPs86eGrggRBEC415IXSBeBw/dRywRv2tM9iTgThd7N6sAeliUKYwglfDXKm89siUhAEQRCmA39RMYY9hXCNdV29KI1EZzlHgmDMmS+U2j08PEgQBOFSY85qKKX9TsBWiCHW7Tzu0h6hcbf2pTyGNtZHdUJ69/KBP91I4zGTo4pWTxl/55Zz0fyYEtTmSE0tspoJFj2Pm988hn9ZdzdwVZDY/PCFa9l53TfQ2OEdnY3MxlVEY5BfP7CU2WgZWjZFStFkinkAd9UqJc76SCWzybtp+J5pIc1LNs1fSNzQepykD3z7MmaTGqFxtkvez1/C7TrRSNIVlfSmgooWEgCULaM2iQyPSbceoFotKyuGmM3QDTT2OvhoPUkHlrFDkBgoIum4g+fPXELb0fKN3STdvrWJHVO7gdbTfx25htmoGjWVe/kayuErdFyz49Bk+kBzPWJndA+zm8cpZ2w0v9ZBXp72XhqfnVrAz7O0mt5D+zANmtZHuO5SaClts+V1E9ymjYbsqa3c5DMQeh2j+dUMYvzVEaDSzfVERg7S+tYVmTJTHRfwymdpfxnuL2M2ehEt82CCxsMffpb3//RmWuYHDi9iNrl1il5Dh49f20LbTekiOj6N1/LytDmyNC9+Lm5nqqeaA3qY17c1SmsvlaBtTXfzOWGwm2q6lC/kmlSBE1SPwbaA6r5sMxhP8zZaDqY0Hz/NSfqbYzF/GM4dmWoj+mzJAMyU6OM8Fpac72hjNmjWQn/RuNQYbCHanrOXcQ0QUyedrwJvcg242CLFDxqiwiaZSu47qRowlgRtJ2019agOh2DSddzQdhQ/v2IjvwEj1OY218IGpiM/RueQbjbjuFIpXHn8BABg0OfF8aXlgDZVEfliPrjHHbQvuHt53yjqpr9FG7lcRmM91f3p7qerym1D3CeLrKb+lWuBwdx0gD736IqwVraUz7e2Efr4mKnm96022Zoifu34bjr/5xuUuX+hgd+Wor5TtNvDTHIeevVwnPoiPY8v4MdcT897Yi+3yVxBz2tv5/6LrjxZO1uozxip5/VkclLfSRvjWkephYoWU4ifxxal+Usn6D1livlAEj5JdZeci7iPaz5G20i2ifq0B3Y3s2NyVnotW4oPWBbFNU4v4b6y88BUGZuy7M8XnpkUy57HvpOsULoAJOx27FlQeBmwMODHonEunCsIs81Np8IKcpqGI7VcqF0QBEEQZoq2mqmPNTcdkrA3Ye5xTftx2HOFlz0vrlhOXiYJgiBcqsgLpQvES60rJ///huOHZzEngsBpGh1D82jhRefepkbE7AbbJAqCcFGh6zP3TxDOl56yMowXFVY6XXu0HXbZ0UeYY9x0eGpn5RdWrHgLS0EQLgZm0m+az76TvFC6QLzUOjXR3HC87S0sBWHmubHtDKdo5fJZzIkgCIIgALpmwkun5iNXOoMr2jtmOUeCMIUpn8f1R44CAKJ2O7a38DAfQRCESxF5oXSB6Cstx4nyQuzymv4elIRiZzlCEGaOM3fRka9sgnBpoJ/SApiJf4LwdnjhsqkPHBL2Jswl1nb3oCxW8OVfX9KKtGXOytAKgjBNzKTfNJ99pzk7Gmq5KfGtohr+MiY5QkXYwhNuZqOV0uXS7oVxZpMO0+McQ1TArKnJz445EKZKl7qNN4BbJraje0EJWsZHYIKO+w7sxtPvmQqDO8mOADK7qWDsTXft49cep8LipnZeheHLqLBwzkbv6bq797JjnjtOlaU1g2V3RZW0HqIjVIjY6KBXX1REuJfw82a8VGVt37ZWZuOI0TKOnaBihO+6exc7Zr+fimePj3DhvtbNfSR98McrmU1O0cYr/4MBko5u5WLvSUV8dNMKXuO7dtH7PHS8gaRXXNXNjmk7Sm2WLBlgNh0e2qbrPnGCpEvHYrj8p10AgBFvMZaP9sGsiBymY1zsb+PiLpLerXHBwtKdynm8vH32Omk7ry6h4un+QS4Aa18TJOnIwVJmk3fSMreO0ntwt9JzAIDNQ0UiTQZtOK8M8H1H+DbBFRvHSXooQNva0kquo9YZoveQzPD3+1qK/mY2UXHM2rto+wWAwADVw/Is4AKLiWM0f43reDs6cZKex99L681I5DylCGxX1XNh7LEeet+2Ci4KXNsQIulMnrar5UVcPP+lHatJut4VYjYTVnoPmRxtn9XNtB4BYHDMR9Kal4ulWm10DDPt5vNRom6qbaUlkke4QGhZQDul62Ir4z6P1k/9l/Q4V+7Wy2kbNy/mQqkI0jBptzKE1LTyvn9COSbPpxkUp+LImE2w5vK4a/c+fPH9v4fM+T64G/nk6tB+LjbTxXSIhs/f54yLhjv2H5j8f7+7CHft3geLIjScjfC2unxpL0kfRj2zqX6dziEpHxd77nf7SLqkgs7tqX76dwDIXE7HAPOeImaTV6Yrp/IchOX8Gczmo+ct0rhwt+o7BQ5w3855TZCkJyZo/ppqqBA5APROUB8ilzMQuVYE/02Ke1V0L3+2Qy8VMNcW8fHTeYhuWFB2Bfftho7R55NkFxW0RilXltZD9EHD08g3mooq4tn5au6DFSvHOfP0xpd56KY4ALDrNRqlUFccZDYnrfQecsqmMh4D/3pC2eQqX2LQRux0rvFs42LkkQVTdZkS32nOIiuULiB7WqYeuG/75eH5HRwpXDTc9OujMJ1qi3ub+EshQRAuUnRt5v4JwtsgbbXg0ILCRxpPMoVbD4gGpTD7OFMp3L1rNwAgbTbjcB3/kCgIwkXITPpN89h3khdKF5DBch86qwtbgTd2+rHsEP+qLggziTmbw02/KmgA5DQN25aKBoAgCIIwd3h9Wcvk///ha2/OYk4EocDv7d0HT7KwUm9PYyMSdr6CSBAE4VJFXihdYLaunHpgf/cv5UubMLtsfL0Hpf7CMt5DC+sQdLvOcoQgCIIgzBwdNZUY8hXCcjd1dKJ1kIdpCMKMoev44BvbJpNbW7ksgyAIwqXMnNVQctZEYbcX4mIjA8Xs7/YWGtNbZOKxmdEAfVhuqeOxuDuUeN2i1TTu/3BbIztGs9HQNd3CQ9nczkJsa/vKSkTfsKEokcYVL3dieHMF/MXFyNWm2DHmYnqerX2L+LWV1XCpjQYxvoqeR9pLY1JVvSQAWLOAarEcPcwnzGgJLU9XD20+8UU8uLW4m6Yb7utkNh1PLybpmpsNdGEeozHngeuopsPWQV5WqriZq4PH5p6wVJJ0kUGPyG2mMcmxR6m2TPJaHseMNH1Xu/NEEzOpWUpjrwcHaVz4xpIent9SGpudyvEMazlF8yfim/z///Oz9sn/37VxIdwlBf2ahJPGoDtsXCfGaaL3aXfwOPBgKz2Pp5uZIKLTgP3ICE3bDAQmwlFF56OY2+jK6/GcidoEJrh2QEP1BEn39/EYf7V/a+X8vm1mtbxoHXSHSqBiOqzot63gfRlF9No5JR6+L8rPixhtExk3/26QW0j7T/c+vny/eiXVE/IfpmWTy/D+ZKmi49qIn+uWVS2kZT4y7GM2QTut78AQPc9wlPZbANAaqBZTf9zLbHIuZZ4YpV+ZM26DOlD0xbI5g/IM0vNoK/mYsKxyZPL/E0nehmaCmdqWVqK7Z5H6FGAvtPNcL/9gkF1B+77F4LNi1k/bc2sJ1wk5OL6QpPWNVI+uez8fU0x2xXcyMxNY3AU/YtuaRXjvK/sBAB98fRv+4ffv5sYXGlVTzyAcQf3JSH+Sn/ftZ2m6uZARFudUFvOAtT09WDEwCADori7FYKsbJhTmuriL+jwmOx/b3WY6H5id3GZiJe1zvhMG/pVONcgwSI9x6Pw5aCJCbWxegzasjAG6Q/E7DHTWiuqC9Dpd3BfJKy6CXsX9So9ZyXNe8V8D/LxFe+mJo2sNfHDF3curfnHYxw6xRGhB5Ir44JhapNTLDu6LeNYGSTq5j15Ly3C/PVNDn59Co/y517OYPotE+rmN6julB+gcsCvM9UeTjbT8Bs54ZjhNVtGFtQzTdp81KCtzgv6WzxpMNhO0LCbW8jayqHbKd0oms8Cv+WkuJDPlN52+1nxFVihdYHIWM3atKjhetlwO9+zaMcs5Ei5VGnvHseFAQRxytLQIJxfwlyeCIAiCMNvsXroQKWvhjdPdO/bCnTQQBheEGeAPt06tTnrjssVvYSkIgnBpIi+UZoCdqxuRP7W06N7tb8KU518RBOFCc/dv9k/+/47VTXy5myAIFzf6DP4ThHdA0m7FniWFj3FFqRT+106+O60gXGhKo1G8+9TubgGXC/tb+A5tgiBcxMyk3zSPfSd5oTQDBLxuvLy0EGZWGwrihqNHZjlHwqWGM5HG7S8cAgAk7RbsWdEwyzkSBEEQhN/NG5dNhbL/4Wvb5nc8gDAvuWf7TthzhTCcn266HFmLQZymIAjCJc6c1VAqsqXhsBVW8qRjPE40maAxtPY+K7NBJY3F3NnOd7RSQpvhT1PdDd3JVxOVVEZIOtTHtTpiQRrHmlxvAgqba+GLL/0c29/7CbZCJFtMl3R7nHyJ9/ieKpLWDOa2zAKqJZKvp+exneDx0KPltIwTtTyO1TZAyzi+kMYSW8d5cyp+H93Z7sAJ/iLDsZ6WZ8fJamZjVVYZt9RSTYf241yvofgEzY/p6iCz0XqoNovvVr4T39WVJ0n6x9dcTtLOTgMtmQ1UiytxzMdsBnUlNlzRXfr+1mvYMeYotelJGXRhpc1e/0I7rt15AkXxQmM/2FqHiMUJnFF9eozWLVfDAt4cpjpVJgPdslwRbTeJTTy2XVM0aKJuRb9pmDdqcx/VAbj5Gv61eoef6lQFY7Sd59L8vH2DZSRdWhVmNhMBJRg/xsu830rHgHxC0d2x8nf32RaqN5QP8V1jNEVPQFd0odIJfl5nDdWXy+b4fdtOUC0Gw/5uor+pMfSmFF/hZuqh5/WN8wfAbMpH0toyfg9Rpb/YF1Fto6SVl5XPTtuaRePts6mOjhuRNM3vqJ/PNUXd9D6vfvdBZvP6CJ1bkik+H7WPT2ktpFJGPezCo+sa05a7UNcRZociRxJ2e6HvpqIO9ve4MtY7uw00wWpo+vChRmZjVfp/IqWMk07e9601tB/netzMJjsx1bf7zFUYaPCiri+EJUMj+Pobj+Kvr/kgO+acvuqqTdLomLPZGIkCKW3dqOnPppbQbHbFt6UvNVOcQ17ef3wrPvbKSwCAPICxBgdyGdpfVJ8sZ+CU7+xvJGnNxC+eUXQh/dfy+UvP0XkjqIh+ugd4Zbu6qM1VN/P5680x6jvFInTc0NN8jBjvo/6rszbGbBITVL9H1SgCgFErnXNNSUV3x8GPCS2nZWMKcB+cTf9K0ehJg46hPCvlDPQSPcdo/UbreV0WKbpQGWWYU587AcB5ko7L7hGuoWVOUr8ntpqfR1O0OaH4mUkrLytVD9XCNEGB6gV+kg6naBuJjHGN0pKTtGzWvJcvpnhtUHkuT3D/umt4Sp4jnZ5532mm/KbT15qvyAqlGaK3uRQTFYXBtbo/gi07js9yjoRLBUcyjS07C+0tD+CNdaIBIAiCIMx99lyxYPL/r3mxQyQDhBnj2gMd8MYKLxkOL66F38cfmgVBEAR5oTRzmDTsuGnqK8AnfvgyTDlxjIQLz3W7OuBKFt7q71vegJEKvvOWIAiXCKIBIMwjOpZWYKiuMGeVj8bwe7v2zXKOhEsBbyyOG3cXdsXNa8BTV6yc5RwJgjBriH7SWXlHL5S+9KUvQdM0fPKTn5z8Tdd13H///aitrYXT6cSWLVvQ1tb2TvN5UdC9tAxDDQXHaHHfOO58mS89FYTppDIUwlV7CiF7WbMJL1y1dJZzJAiCcOkiftN5omnYeuPUqtpPP/ksbBkeDiII08mfvfgSnKfCa3Yua8RoqXyIEwRB+F287RdKu3btwne+8x1cdtll5PevfvWr+NrXvoYHH3wQu3btQnV1NW6++WZEIpHfcaZLCE3DjpunVin92Y9egy0tjpFw4fjEMy/Ali3EQ29f3YiAl2tWCIJwaXBaC2Am/gkc8ZveHn1NpeheXAoAqJ8I4N6t22c5R8LFTHUwiD/euhUAkDGb8Oym5bOcI0EQZouZ9Jvms+/0tkS5o9Eo7rvvPjz00EP4p3/6p8nfdV3HN77xDXz+85/H3XffDQD4/ve/j6qqKvzoRz/CRz/60XO+RixtQ1Y7JVLWGOcGQSoIlmrgQl2eQ/T2wq0GIsKKdmppOXXgJsa4SGutiwr3Bq38y4WtmAqhJXKFvHQ2lKOzpQyLTvhRMx7Ge544gO/efjUAIO+nYmnWI1zsO72B3udNq44ym90/pEptqmhcflmUHTN4iIp9164c5TbDVITPdZwKxMUbeR309JaTtDnEm9yta/eT9G9e3sBs/uC210j68U56j+YYfzdafoDWgf8avp7QNUiPG6nh9f3jfirC/anNz5P013K3sGNMihiq1UCEr3EBLeMzhecAwNTHBVXNipDgbcsPMZvftK0qnH94HB/YthMAkLaZcfSmGtS5QwCAjhO19LxK1WXtvDz1AK27rJWXpzlN85fKcfFksyIk7QjTY+o3DLJjYhnaN158eR2zee+NW0n6Z0euJulcLW+f1iAVWMyUcEFNTRGkNBnUZT5E87d5aQdJ7zrYws+rpH09/LxhqpUJezUV3M/EqeglwLT+UVbExTLjl9Gy0DO8X/b0K31XGT49zUF2TLhTESe/ij8Ql7vo+DMxXMFsMh7atiy99D7tC/ic4LbRihk5Vs5svM0hko4d8pG0w2AuT62mQp3bfsOVMNfc1k7SB59ewmyS5VMn1zISbX6pMRN+EwDEknZk9YJjk23mg5XZT52eaCP3i8r30LR/FW+veRvto85KOs4kh/nHi9pi6jv1WA3GLy8dm5LZQn5fvG4JPnzyTQDAXzz9An52xQbEHKfmyHPxwZnA9tuwMRTyVn40eCCYx88I08qcFuk+g7969nk4Tq2C27+xAe6GDNwozB0DR6ivrAosG4lIW/yK0LTNwHdSRO7zGb6xg+r/2QP0PN6rx9kxsTT1Td58ehWzefed9AXtbw5cQdLxBi7SbJ9QNhUq5/dtUvJrtJGHOUh9j5Uru0n66G7FCQLYUghvB/8wH2yh583X0OcB9HPfVO3vJcXcz4ivV0StDTZ78XfRZyXVdzIt4c9guRNUnyt0Ix+7KxRfLjtQymyyymOjo4veZ7pJKQcAbmVDk9hhH7NJK3nW9tDx3W3g0gQ20Ho58JNlzGb1+7pJuvvxRmYTqzyjLjNzdNAQ3t4KpT//8z/H7bffjptuuon83tXVheHhYdxyy9QDtt1ux3XXXYdt27YZniuVSiEcDpN/Fztbb1yM/Kmnvj/71asojvPd3AThnfLpXzwPyykB031XNiDp5rs7CIIgCBee6fSbgEvPdxqp8eLI8sIOsOXRGP73i6+d5QhBOH8WjYzi/TsKH+JSdgt2XN04uxkSBEGYB5z3C6XHHnsMe/fuxZe+9CX2t+HhYQBAVRV9g19VVTX5N5UvfelL8Hq9k/8aGvi28hcb41XF+NVVha/cpdE4PvbrV2c5R8LFxuqTfbhzR2H1Utxtxb4rL/5+JQjCWZgpYUn5iEiYbr8JuDR9p1eva0HGVHBbP/LCa6gMhs5yhCCcH3/zm6dg1gsD2M4rG5F0yYc4QbikmUm/aR77Tuf1Qqmvrw9/9Vd/hUceeQQOBw/HOY2mxFzous5+O83nPvc5hEKhyX99fX3nk6V5y9ffdyPS5sJSyY/8ZitWdA3Mco6EiwVbJouv/vcvJtO7rm1Exv62olsFQRCEd8CF8JuAS9N3CpS68dhVmwAARakU/t+PHwf0eeyBC3OK2/ftxy2HC2L4o8XF2LtpwSznSBAEYX5wXk+Ze/bswejoKNavXz/5Wy6Xw2uvvYYHH3wQ7e0FHYnh4WHU1NRM2oyOjrKvb6ex2+2w23ksazTqQDpdiCHW4jybmofG2VsG+VeEyEpqYxvmMcl5RQcm6FBi+s3cWWkbrDmrTZESkzoSpdo86wI9eGl9K9618ygs+Tz+62uP4qa/+ltkLFP3GljD45YdXhr/+sLeFcymWCnOnIsG8JrbubZB0Th1XEczvL6sShxwvIHGx9pGeD3pyk91Bvo4++6nejg///d/YzZ/sPt/k3TuJI03NvOiQvfv0Yvb95Ywm9Ib6Bfgwd4yZlPxBj3P1zK3knRxNdeJWVpO9ZH297Uym56d9SRtUfSH/uA9r7BjHn94C0mf1ks6k+//9/9gyUDh+oNVHjxevQ75XuXdcRGtu7yi6VJczMMw4yFa5nULeLx+8pc0pjtTxOPLVV2gZDWtPH+S62pUuWgZR5fzMn/02GaSNjXQvlKyi/d/77uGSLrXz2PS4aD5a1jgZyY94/S4o8Fqks4bjLQmLx0jkrVcB6DCQevBY6XprgpevuksvdjwBNdic3TTslDrAAAqa+jX/0A7vUcjfbmaVlo2wwb9KaPkWYvwwrlh9WGSftVKNahyOf4tZHDcR9LW+gSzCXbTsqheO0bPYVBW2jgdUMMtXHPGZ6FaC7Yr+cqJeNQ5+f/5NNfzmhk0nJvgzHRc59x57bXX8M///M/Ys2cPhoaG8MQTT+A973nP5N91XccXv/hFfOc730EgEMCmTZvwH//xH1ixYmr+S6VS+MxnPoMf//jHSCQSuPHGG/Gtb30L9fX1BlecOS6E3wT8bt8pG7bDZCv0b3Oc10O2mLZfZz8fQ8bX0/HANcDPk1NcrrjdSdKagcZeVw+9H83gk6ZD8Z3GIoq2yGIHwrvt8CRSuPnQEXzxF7/AF973Pn4ilXPSQzqLzTnpLr2NF1wisvTOmIZ3imWRCL78s59Opp+7dhk6+2qYna70n7zit1m9XKMGIdo3ShqDzMT2KJ2TMx7et4NLqE1MGdpyBpqKlW6qfTO0mj8r/ezgJpLWF9L+X7WV+wemuwP0vGM+ZgPl2aN8UZCZjIzQ49on6BihPqMBQLaE5meijuev2EX1horttF76s/x5AIofPBHlPk5xB7XJ1PHTuOupf5puozq7RvpyvuVBklb1KAFguJpe2xrmY/flG46R9DbbYmpg4Dv5R+l9mhZy/SaL8sxVvJnm12/gD1pGaXudWMHrcp2F1tOxLdxvS4anPsSk0wYPexecmfKbTl9rfnJeK5RuvPFGHDp0CPv375/8t2HDBtx3333Yv38/Fi1ahOrqajz//JRocTqdxquvvoorr7xy2jM/33l+4zIMlBcGjVp/CB9/+YVZzpEw31nV2Y+rt58EAGRNGh5/91rkTSIALAjC3CUWi2H16tV48MEHDf9+LrugffKTn8QTTzyBxx57DFu3bkU0GsUdd9yBXG42HNApxG+aXuIOO35y7dTGHe97Yx8qQhe3fpRw4fnHXzyBokThQfpgSy0OtBq8KRAEQRAMOa8VSsXFxVi5ciX5ze12o6ysbPL3T37yk3jggQfQ0tKClpYWPPDAA3C5XLj33nunL9cXCTmzCT+6eSM+9ZMXYc7r+NirL+L55StxpG52v6gK8xNbJot/eejnk/H/r17ZipFKD8AXEgmCcCkyUzH653mN2267Dbfddpvxqc5hF7RQKITvfve7+OEPfzgpev3II4+goaEBL7zwAm699VbDc88E4jdNPweb6rG7eQE2dPTCnUrjgR/9Ah/52If4FpeCcA7cvm8/3n3gIAAg5rDh8RvXSFsSBKHATGobzeMI7mlfuvDZz34Wn/zkJ/Hxj38cGzZswMDAAJ577jkUF/PlcAIwUOHD8xuWAgAs+Ty+8ovHYM3y0BdBOBuf+OVLJNTttc3Ns5wjQRCEd8a57IK2Z88eZDIZYlNbW4uVK1e+5U5pcwXxm86fn129DmFnISzo5kNH8J6de2c5R8J8pCwSwRd/8cRk+okb1yDm+t1aZ4IgCALnHSv1vvLKKyStaRruv/9+3H///e/01JcMz29chlWdg6gbD2Hp8BD+/OXn8Y2bjb/WCoIRqzr78bGnCtsoT4a6mSXUTRCEM5jhFUrqVva/S/fnrXirXdB6enombWw2G0pKSpjNW+2UNluI3/TOOR369pFn3wAA3P+zX+GNpS0Y83rOcqQgnELX8X9//jjKYgUdFwl1EwSBISuUzok5u/WTxZ6D1V54IM4ZiLZqSqmbuIYYioqogG2knD9gOwaoqFmulorI2Wx8tVDKTwX2zDG+NDbopDa2HupE58umrpMH8MgVV+Izv3kGZl3Hx155EfmkBf9x8y1QScWpmJu9PsZsMuU0XWyl97B4DY+BOvoCFb21+/k9xVZSUbs7Vx4k6Sf3rGHHuHqoKNt4lIvR6X9C7+F92z7GbJwueu1UNa1wax8XGixqoA8zV2/uYjbP7FhN0pYobyORO6ioYc3P6T2Em7i43+6lVBzRHeDlGVfamirc/Nt/vY4dE95C7/s9z7XBms3i008/A0u+cL4Xm1ehZ6wBOK03XGWgIZKl9+nqU/rBAP8ynqun5+nr54LLNXdRocaQUX0HaF9YWEvbo9PCO/OxASqOaXHwfnlz8xGSfv44FawPbuTHhBQR7nyMC3c7B2hZ9Ya5UK6tigoJhgK0/j01XEQ8fZQ++JhauVBzShHY7uysJWlvJ599tBtou4+ZeN9wXEb7XHKIP4Tl8vS+s1W0Xso9fOxxq3XnNhg/U7SMdQu/hxeOLyfpok6al5iBz1/eQNteNGUgWFxG8zd8nA6WxXzPAERWKfeQ5mPESy/SjQXMSX5P+hlVp2cujXAKdSv7L3zhC2/7pcn57oJ2rjYXHc4cYCu0US3CxzOYaNs0p3hbtRXTfpKo4is2inpoOl1P5zPNwcXrtTE6FlkNfKe4i/pOat9PVE79f1tpI/Ys7Mf6nh744gn88J+/i0eWb8EP71vDr60KX89kszjbQ8LbEfI2vM78autG2Z2uojgb73ljP9b2duG2g4cAAFGbHU9WbYbl4FT7S3NNbiBLM13cTf+s9/K+EmmkNxXo8TEbz710I4dgmM/bJj89T8UCOue5DHynnt5K+oOD+4NXL20n6a1tS0l65Cp2CKCIcJsjXCC6qJemJ4LcZzTV0Dyn/LT8jDbXKDpIx4jkCu5nJBXfKX6cilxXHuNlFb1d2SjFxMfP7AblWv1cCD2rCF8na2iZF5XQTTwAwGml/t9EMR8/kVDyY7Ah1La2JSRdcpzahBfwTudqov5pLMnbXrqC3nfkiI+ky/p4u/Kvpb9pBr7TjqfoxkL2BL+n9IKp4/IZg3IR5gSyhGGOMFBWgpcWFfQUzLqOP9z3GsqjIjQpnAVdxx+8uR01oYIz0ldSgpeaV57lIEEQhAtPX18f2dr+c5/73Hmfo7q6sGOiutLozF3QqqurkU6nEQgEfqeNcHHyi/UbEbUWHkKXTgxiS+/hsxwhCEBtMIDf37N9Mv2LtRsRVXYqFARBEM4NeaE0h3h58Ur0+ApfzH3JOL7504dFT0l4S25qa8P6U2EfSYsFj1x1pezqJgiCMbo2c/8AeDwe8u98w90AoKmp6ay7oK1fvx5Wq5XYDA0N4fDhw7JT2kVO3G7HL1o34/R365t6D+Jd+w7Nap6EuU1ZJIIPb3sF9lM7QO5e0IT99QtnOVeCIMxJZtJvmmerTM9EnjznEDmTGT9Yex2CjsISyrX93bj/tz8H9HkcVClcMG7adwS37z8wmf7hVVdi2OebvQwJgiC8DaLRKPbv34/9+/cDKAhx79+/H729vdA0bXIXtCeeeAKHDx/Ghz70IbILmtfrxYc//GF8+tOfxosvvoh9+/bhgx/8IFatWjW565tw8XK8tA7PNa6ZTH/94cewrN8gflW45LFms/jW936A0nghZLunpAw/Xb9JdnUTBEF4B8xZDaVc0I6s7VS8qIHGxlX1nSQ9UsE1QDqOU70RcymPmc0Z6JacST7PJ5nrllOtljffWMFsLF30S6z7siBJl1v4dYejFZgocuK7V12Hv3z5OdjyObx3/04cWVCDh6+5FgCwesNJcsymkm52nicHaEzqeJjq2OzrMPgS00Q1irz7+Jfk5Y3UQTseprHZrm4eb7z2TlpWwTRfUnyklwaqW3v4taPl9Nx1TVR3ZzBSwY5Rz9If9zEb5Gj9Lr68l5k4zHSVWMWnqKbSyx2t7BhrF40D99zAhWGzb1aTdLKetonRq3l2vfsKsc2L/cP495/+ZPKN8G82rsKhZTUAsshkaLd2DPPYdpMS7pxoUTSpBngMtWZR9MUGeX0HhqkmjX0F1w6yd9Oy6XVTHSO7g/cNNfbas5/n74WltN1Dye8/Ln2OHfP3h8++nXiqjI4/DYtHmU3fhKKjpbSrcIBrSdmVoSXbUcRsilZOkHRJY5CkE3W8DhqctMwTexuYTbhFaRMuHv8eO+gjaUsL1aTbUk51FwDgt89tJmmjAIJkBS1P3UBrpaSc3kM4RvUPdCfP73iIlp8pwMtG99K+fMN6Gh7zWu1idoy5n96FexFv0+EU1Rwzl6aYjWloakQyvfW0c8HQ9Zn5PnG+19i9ezeuv/76yfSnPvUpAMAf//Ef4+GHH8ZnP/tZJBIJfPzjH0cgEMCmTZvYLmhf//rXYbFYcM899yCRSODGG2/Eww8/DLOZj38XM6YJC8zWwhyQN/CdNjZ2k/RwNfedho/QuV0v4yulo8vfupJ1A9/p8jUnSPrQiy3MpqiDjvX6eqrV5rPyvMQiPrzoWYHKTBDrBrrhSmfw0Le/j7v+z19iorgwLujnIM5zVp0lo1NcqPcQb6efGt3jPP7iPe3oOu7/xS9xeWdBTzPkdOKhW65Gwq0ByCGdoWOFa4CXp0lpfqFldP5y9fPxRrfS+coxxL/lZ4boHGddw7WDik/Sc48W0WNMTt43TEla/+Xb+T29eRnVTNKUqfMf1zzNjvn7vWffOChRQa9dsnSC2YyOKPegaFRlJrgXYVWatO0Y162yrKGSIflmOm/7F3D/oM5Fx5rAjkpmE16m1G8R919Me6m/py2j9XJ91XF2zGu/pDqMXmYBxKrpjeecvC7tlVSfKaromOZcPL/hCWpjm+BtOFdC2/DGK46R9Lb6RewYRy/10/UWrh0VT9L6zZVz387eP9VfzLPgO82U33T6WvMVWaE0B+kvKcNjG6YezP72yV/j6nb+8CZcmngTMfz7k9+FO1N4aN27uAHPrVs2y7kSBEF4e2zZsgW6rrN/Dz/8MICpXdCGhoaQTCbx6quvYuVKqhXncDjwzW9+E36/H/F4HE8++SQTBRcuYjQNP7tsM/q8hQ8UDRMBfPuhH4psgDDJB9/YhnvfLOgmZcwmPHTj1Qi5uaiyIAiCcH7IC6U5yr4FTfjWDTcCKIh0//ujP0Tj2NhZjhIudiy5HP716e+jIewHAPSV+/CjLZfLcm1BEM6OPoP/BGGGyZoteHjDFox6CivXNp/owhd/8qv5/dlXmBauOH4CX3j8V5Ppx668HD2V5W9xhCAIAmbWb5rHU5W8UJrDfO3Wd+GF5YXts72JBB763nfhneBLBoVLAy2fx9+9/HNc3t8BAPA7i/Dft16NtHXORq4KgiAIwowRdrrwkY/9MZKWwrx439Yd+NMXXpvlXAmzSevQEP7j4R/Cki+E+3zn+uuws6VplnMlCIJw8TBnn0QdZTHY7YUY12yev/fadoDG/OZ9fFmz7qaxmCVuHpMc7qKRqloV1b7Q+nj8rqmGvkLMFPNXiquXdZO0RRGtaXu5medX0Ra5L/Aqdt7agMtGe1E5HsWisTF87s+exQc+/VEEigoxr45V/L5DL1JtntQSRTvKzPPrUDSfog3cpq2zjv6g6NpsvJ2H5R37HxqKdftfcseurYOe17tunNmM9ftI2r+d3qPFwfObzdI44IEw14pACS2b40frmYm7lsZeZ0vofVeXhdgxI300pttl5YG/gzVK3WXfQr9B13H/Y0/i7iM7CqYmE35wy+UIWLyA0qwr9tJ7mljFNakqVlIdoPHdNFY83Uz1cgCgTOk/4xlenjYP7T/pHI/FdinyMnqKlqdrF4+HTy2n6cBSviLLrLxrLWsNkvTf7T97zD9MvB2VNtHzDIR4dHttCW0DAxH65dPMhx7kFBkoZxPX5lH1BcxxWlZLlvbzYxJUS6hsE9d8CibouBYd5fpNxaup3oHDQtvr43s3sWP0GiU+32EQD++ifSGV4FoGyQM+ks5X0vOaI7xdFS+g+gchgy89mlK/LxynDcsc4XONOU3bWqyzmNloSl2aunkbPrM/z5aG0oztIiK6LbNHRQqwF/qLbuA7HdhJfY90Ge+jmpv2N2cR1wTLdVDdjUwNbdTObq5zZ1L8irSPt5PFl/WRtEWjeel/egE7Jk/dASzN9eNXN12G339mLwDg848/haTNih9sOWPHP0O5IfrjWTWVjDgXnaVz+Qr9do65CGBF/g7LatHIKB751ndQEi84CEfqanB4YTUsMd43KrZS33NiI1/B5NgcIOnibT6SjizlPnmRhzoA8TSfb+FTJoUMn+MscdoXTEn6CFe5lZ92bC1Nj1/G51trjBagfQXVH/qHHbezY1iRGyxPsLdQn2Zsgs+d5RX0WoFOH81bhHe6nDK95pu5g5UYoteyKPfYsGqIHTMao8c4rw4yG1uCXjw/xOd6bQPVWS1TfKdntq9nx+TraUM30joyu+h59AR/hLftpiGcMeV51RrmFWVqos5zkinQglX4trYlynl5PZmUx4j8cR5eqimXcp7k7ZP4TrMRwTyTu6/NY99JVijNcVJ2Kx593+UIegqD1tLBYTzyjYfgiRs8oQoXJ7qOv/3FU/jQK9sAAHlNww9v2ISuGi5ELgiCIAiXOntXLMBzV059ePy/j/0SH9i6YxZzJMw0DeN+PPKt/0JFpPBio6e8FN+7/kroJnn0EQRBmE5kVJ0HBH0ufP8DmxEuKrzKXdk3iB/823/LS6VLAV3H//fLZ/DR5wsru/IAHt2yEfua+VdaQRAEQRAKvLh5CV7aNLUL65cefRzv27Z7FnMkzBT1fj9+9B//iZpQYfVwf6kP37p1C5I2vnJOEARBeGfIC6V5wkRpEb7/gc0YLy4sM1/b3Ycfff07KArx0CThIkHX8Xc//w3+4pmXJ3/66bUbsGuJxP4LgnD+aPrM/ROEWUfT8OxVy/Da+sUAAJOu419/8FP8wevbZzljwoWkaXQMP/nmt1AfKISnHa+uwn/cej3idoNQHkEQhLdgJv2m+ew7yQulecR4eTHu/es/nXyptKp3AH//F0+JUPdFiJbP4//++Jf4yAuvT/72d3/wHmxbvngWcyUIgiAI8whNw1PXrcT/XH/V5E9ffvRxfOglA8EZYd7TPDyMxx78FmqDhZVJJ6oqcd/HP4qo00DXThAEQZgW5qwot37MDd1yamnqUoPQLuUtnnWIC3nl6qmQZCzFl7qaM1QASxUA1wxeub3c20rSCxZz0dt9vQ0k7ShWxIqr+GtIczm1MXpRufzEKB665np8/OUX4U0ksPDkBP7mo8/gzz5/L/pqSgEARdfT/FxXQUUuX36CC8Ld/N6dJP1s5zJmkwu99dedQ88tYb+t/ZOjJP3Iy9cwm9Vru+h5+mqZjTlMm2puCRXgzfdzsbfkEBUNTTi4wLqjj7ab+973ErP5wVPXk7TtqjGSHm6jgtYAkCujynFde7nY921b9pH0M20rCufPZPGl/3kc791W+HsewE9vXI9YpQWmPBXq08a5gNvwdUq31rno6sBJqr+kbhSXNxCEDMZp+VmivHPUN1Bx6npHgNm83kLblmal9xS+gucXIdp3VQFugIsujowpgvtWLnJosdNr5cZ4Gx8bVoSxDcQ8h5TjLJW0L2esfHy6Zzntc6/7W5iNbS9t1xOX03bVfoy3q7xSdUYihu4GKpZp8qSZzfiQj6R1RdBasxiMYQlaB7kcn2Jqq6nwaVegitkk6mi9rFgwQNIn9vKQT7sifKmneBu2D9HfHKtoew1Z+ThSWkLLatxAWNTupuVX5uINdLRtqs8ZCZjOCDO1Le08/so233EdssNuKYw3kZVnV3939fN+El9I+1Iqxccvu6LTnc7RRm3UxredpILgFa0TzKb9JN2kw+Sh96DVGoj0VlIbs6ogq2lo8zTipZYAbjhxBADwxZ/9Gt5EAv92+02AdspeabeqSLcR5yTcrZ5mOkS6z/W4aeBcvppfKC1Zo/P+rvys7erGQw99D2Wxgn84UObF9951Ba4YaodupSdS/QUAGHx3Gb1O3mCzlxMlJG2zKjbq5ioAYlH6MstmIGBc2kjFqRe4uO+0ZwXtP3k79WlGrjcQXFZOY43za1uj9B7CI1Q0XLdx30lTrm0e5WNEfICeRxX/BoDQCC3PfDXty+kI9yHuWr2HpF8d476Tcxu91tB1NH/9h2rYMbqyYVEmY9D4FAHrrI/7q/F+et9R5RZMBhsjWZR60Qw2VKhQNgga9Zcxm4jiGjUtHibp4Tf5fVutdLxPJ/izkpu6YMisV4S8bfyFrb2U2sT93L9ShcYdLQYC6wd9k/+v86Z44Zkpv+n0teYpskJpHjLi9eKbN96MgKvQORcN+PHTzz6EzQc7ZzlnwjulIhjBj7/80NTLJA340a0bsWOlhLkJgiAIwttC0/DU8rV4dsmqyZ8+9Zvn8a2HHoEzxV+oC/OL923fiR9/89uTL5N6KkrwzbuuR9QlK5MEQRAuNPJCaZ4yXlyMb954M07WF7Y19UaT+M4XH8EHf7MD0OfxK85LmFVd/fj1/Q9ifUcvACBtMePhd1+BPUsXznLOBEG4KDi9/e1M/BOEuYam4bllq/HrFeuQP7Uq6fa9h/CLf/4P1Pn5ihBh7mPO5fB3j/8K//zjn8KeK6wWOV5bif+4cwviDtFMEgThHTKTftM89p3khdI8ZqKoCB/4yv/GK+sLyz0teR1/+91n8Pl/exrWtEGcizBn2fBsN372//4LNYHCsueBUi/+/f1bcKi57ixHCoIgCIJwrrzashwf/viHEDn1wmFF/xB+/eV/x4aOrrMcKcwlPPE4vvdf38WHX53Smvz+NVfhW3dch6RddnMTBEGYKeashlLaC2inYpPtZh6junIVDe/aN9DAbCyKxofbzpc1h5w0VlRX4p91A50QPUdtenu4hk5L0yBJjyao7kbWYIV11q98TanjO7hZa2h86f86sh9v3rIINnsWV24rOEO/9+xBrNw7hP/Zcg0iTie2/wEtG881I+y8oQwtB6+bx7GuqB4i6ZMT5SQdhIcds+9ZqpdjWxVhNgMRqlGTz/D3nJqiSbOuoZ+k2w5y/aZ4M203Vjcv9Mq9tC5/Fr6B2RQnaBvob6dx7I5q/kY5odyCrsbZA1jz214gr+PyF7ux7vUpnavOmjL8z21XImRxAwbyYWdiX2AgJtRL45TNBm1NV3p+zkHzV1lK4/kBYLyzlP5g8Dq6/yCNz44sNfhCqGjxOE/S2PZUBR+W7NW0IIycxVyZUsZKO7IP8vOmKqh+iFFZFfXR82Q3xpiNy0bj/oMxpT+V8WN+O7SSpJM9RcwmR02Yno8aUw8Ax3qoBplWwnVUwn6qL+Y7wiszpxRxpJmWr5GWlE1pNmo7A4AuUzVJ1y0YZzZqb+mL+kg6XcbnhMBRRU+glNtYkvTMoUE6ZjkrDerWQstPz/H7XlZCdesODHMduPwZ+cmmZ0MIAKKhdAmQ9GFSL8Zs4e2sZV0vSbf18I8Wqj6azc7HkKxbGSCU7pY36Pua4jsFTpYwm7pWOh6MxehYBaPotDHlYgu4UVbR1Kx3h/C9+67AfY/vQlkghvJIDD/5+n/hF2s3Yvviwhz/+PWrDS5GUXWWmKYScHbNpFnURzJiru809InA0ygdi+GuHx9AyUTBN8hpGn569XrsXtYALW3gQyr1km5MMRt7N/VXzCleEGq7zrroeb3lfA5JHKfzjJG+WHAP9aejK7nvpB7nO0Z/iFdzPbRcLb3PVIT7TskKOk6YUvS87h4DH7ea2ph5ccLTSc8bupqPIw5lbMlGaIiivYI7wb/tp46RqZOHNUbXK89/pbReKhqi7JjeDqrnmCvj+dVGqW9XcYB/vM876H0HltCyMtKSsgdofo3Gz1GN+jgli4L82ko77w/R56tshcEz7UGlfZZzG6vyHJRQnjMsNbwBOKy0/KIGvlNLJfWdjvVzjSftDN8+PRvRyaKhdE7ICqWLAN2k4ZXrl+CX77kMGUuhShePjeHTTz2DBr9/lnMn/C5sySze9eM28jLpzeVNePA91yEicf+CIAiCcMEYKy/Gf/7R1ehoLDzMW/J5/P6eHbh77y6YcwabQwhzgqb2cXzgoV2TL5MiDju+ecf12Las+SxHCoIgCBeCObtCSTh/jqyoxUSJG3f/ZD988QRK43F86rfPwlsSxfd+/wrkLPzrhTA7XHv0GO750W4UhQuv2/Mm4PGr1uD1y5qndpwRBEGYTmSFkiAQkg4bfvj+Tbj15SO4cndhlfc1HcexeGwUR1srcXgB30lTmB2KEkn87a+exHu2HZj8bbSqCA/ecD0Cxe63OFIQBOFtIiuUzglZoXSRMVzrxb+8+zZ0lRe+uJl1HX/6yFY8/FffR0snD3UTZpbiRAJf/tFP8f3//O/Jl0lJpwVP/eEqvL66RV4mCYIgCMIMkjeZ8PSNK/HjjZuRNRXc4tpQEL/6yoP41JPPwpoVTcrZ5pqj7Xj2y/+Ce7ftmPztxLIK/OTDG+RlkiAIwiwjL5QuQsIuJ/791pvwzKqVyJ16QbGkcxTf/8T38b8f3QpzVpZyzwbXHj2GZ778L/j9HTsnf+tb7MPP/2wdBhZzLQlBEARBEGaGnU2L8fUbb8WArzAfW/J5/NVvX8STX/53rOztP8vRwoWgKJHEA4/9DD/89kOoCwQBAGmbGS/evgS/uWcVsjZZeS8IwqXJa6+9hjvvvBO1tbXQNA2//OUvyd91Xcf999+P2tpaOOziTe8AAOlVSURBVJ1ObNmyBW1tbcQmlUrhL//yL1FeXg6324277roL/f3nP9/N2ZA3c2USZnvhxUc86GR/77RQATubw0AYrZuKhgWLuMidog8MLUSLpLgpxI4JDlMBM5OBGN1wjNpkjlJRbvtSLggXm6D3GQhwkV67Iiwdy3CBvTWt3QCAwWVe/Obqy7DxsW7UBkKw5PL400e24po3OvD5T9yF9qYpcdx9j64i53jus//Mznvn5z9D0iFF9A4eLmBXeiUV2Bwa5i9OUnEqyty8YJTZ9L9OhcXDDVRjKL2Ki1Obh6iN9aSBkPNfDJN0dMzLbOoqgyTtf4WKxqVWctHAu5ftn/x/RySDOz5yAFe0T+0gk7Ba8MsN6/Bmy2LArwF+4C/WPU/O8e2tt/D8VtAyTk9wrSXVvUrV8nqxBGg7L1lMt0z2H1cEuAE4FlJRw1QP/yqYrqD90GYgqL+2le6ksz+7iOat0kCJvJ325aI4XxeaKqGru2pX0hV5fSkung8nzZ/ZQMC6eCm978EJ3kayefpuPheibS0c4GOPNUzza1rE2/ACLx1/Rl+lgtYdq3j9l7TRvARbDITRlfsOreXjp8tFB7YaB90kYDSuiGADiC+gYpSa3UAY20ptxuMuZpMZpL+ZqmheNCsXG/YsoYrgsQN8rIktUeo3RvtBvYeP9yfH6FxTpYwHALCvZwHNX8rgW82ZAsmzpMktIW8XP9naDEynhh9N3egDwEkr7bcmJ+/79k56XKaYu4qqcLMtQGceUwsXJzap/TrJV+SORqjfYztIx7jkKr5ZiT5G85uc4D6j5qb3GU9bmU3zyoIT/esrVmL9a71Y/2ovzLqOZQPD+PWXv4kHb7sB37ztRmQsc9Z1Pm+mS4Db6DzvdAfsa462499+8ChKY1NzY3t1FX6yYTMmioqA9sJvf3bFC+S4771wMztXspLORaZxg13glHuI1/ObsvnpTdmW0I0xUm18c5r8YtpmLQYi0slqOimUWvjc2bCCPuSdyFG/OFfNFYtdbfQ+bTF+T4ky2neL102Q9ESK+4M5F82fbrBRhmsF9Wmy48XMJqYINZsU3zTrN9ikJUjT8VZ+39Ul1B9IPUfvoWcdHxsr99Exwr+CXzvnpuU3tonP9ZYi6md4nbT+Y3EfOyZM3WDodu4kaDZF7DvKfSdzvzJ21yibitj4ec0raT0V7eTPnhMr6X1bIrQf1Pj4Rj59w7TMfdXcpr2DhhRbDJ6n9TOapzYbvtMcDnmLxWJYvXo1/uRP/gTvfe972d+/+tWv4mtf+xoefvhhtLa24p/+6Z9w8803o729HcXFhf74yU9+Ek8++SQee+wxlJWV4dOf/jTuuOMO7NmzB2bzub+wv3hmRcEQf10R/vnuW3Dr3jbcvP9owTnqGsZPPvPf+O7dV+G7d1+JuNPggVN45+g6Vr04gPf8y374RqZekhytq8KPr7scQSufXAVBEARBmD3yFhN23dCIl4uX476tb6I+EIRZ1/FXv30Rtxxow9///v/Crpam2c7mRUt5OIJPP/UM/uDNqfC2pMWCX21Yizdam2Ey2MVNEAThUuO2227DbbfdZvg3XdfxjW98A5///Odx9913AwC+//3vo6qqCj/60Y/w0Y9+FKFQCN/97nfxwx/+EDfddBMA4JFHHkFDQwNeeOEF3HrrreecF3mhdAmQNZvx1MbLcLCxHh98ZQdqAyFYc3l87Gev4/3P7cF/vv9a/MJ+A7JmaQ7TxeJdo7j93w9h4eGpLz0JqwW/3LwW25YuAjQNmsGbeEEQhAuGrr3zZQPneh1BmOcMlJbgX2+/FbccasMtB9smVyv9/Gvfxosrl+Ir77kN7XV8m2vh7VGUSOJPX3oFH375NbjP2B+8vboKP75qU2FVkiAIwkwyU37T6WsBCIfpai673Q67/fwWf3R1dWF4eBi33DIV7WK323Hddddh27Zt+OhHP4o9e/Ygk8kQm9raWqxcuRLbtm2TF0qCMX0Vpfjnu2/BkvAwPvz4G7Dm8igLxfH5/34Gf+zZiQc334anl6yFrsnXn7fL8u5B/H+PPYfrDp4gvx+tr8aPr92IQJGIRwqCIAjCfCBnNuPpNZfh4IIG3LFvP1b0DwEAbjx8DNe3teOJy9fi63fcgr5yHhYknBv2TAYf3Pom/vy5F0h4W9Rux1NrL8MbrbL7rSAIlw4NDTSc9Qtf+ALuv//+8zrH8HBB0qWqqor8XlVVhZ6enkkbm82GkpISZnP6+HNlzr5QykRt0E7FuGt5PpFEu2mccs4gHHrdhpMk3RXmmh/Rdh9JO1roW8HgCI+H1oponK255Ow7gNRvGCTpiSSPfY07aHCo08mXsGQ76Rea4pVjzObQgUaS9pFLm9G2rB5fuvvduH3PQazv7C3kLzyBLz/3KP5yx1N46rI1uOPAH7MJPPs+Gld9YxWN535x90qWF7MSWO/Zy9+wJqqoTae5nNnAQ8vm5G6qWVKzjcdv28dp3PLYWl7mY7toR3OvCjKbYILGu8dbab3c/fhRlEcjuK1tP9b19ZC/DRX78PTSNSh/nx8bNPq3PRP0Hh48dgNJmwx6p3WINvRMNdf80RVdCi1mEAeuhPCblHrSDd4p6odo26vfzAebnl6qUzQU4P1nWKO/5ZV2b2nj9WRbS7Vt4se4jpFupvcwkaDnyRcZaIU4FE2qMa69MRChbXZpwyCzaT9J48B1RTvIbKDx5qylcf+pLI9VdpjocfYQLatojOuA5K+jmg56gJenqvHj6OMVnjPTc0+YaP3nSwxi/HOKLlSA50+rpP1yVdkQszlhqaB52UHbTKSFX3t8jNpojbxv2NT6VuLVi61cnwVjtM8F+vk8snnTcZI2GQTC7xpZOPn/+RTP20yg6dOnmXK26wizRNgKzXrad+J/znfQjxomO6+sxVfQuaozyNu83qaMB8upDkd6kI87OTfNUL6Uz9vqiOG9iuow5gw01xJOZQ5xG/T943TSc67lmnXdu6gTX94zNf6m4MVDW7ZgY2cXbtt/EKXxOEy6jvfu2Ivf27kfbza24MXWVXj49zax814KvJ0P+Pc8uxfr+7twy/GDKElMaW5lNRN21rXg5cYVaLmjB1eDjq97xmg9ffsg9Z2MdLqdA/THRB1ve+YEtTHH+E1lnbS/OE207aUMru1S/F7ntX5mM95JX0j6/Xw1ll+jv6l917OPz7fJTVSTMn+Y9x9dcRGDMeoH5Yr5QGJSdBhNI/zagQj10xob+U7T/ceoD676prrDoJ4aqO9kShv4TmZlDPDTY7QofxYJvYuWVW6Cn1fVfXMP8TaSN9Nzp5V0rpSPuYqrB1OMXztbQ8tiWSX3wTts9Pmp9FVaoBPLua8XG6btSm82qm+awazSaDwW7jvZRqhNuof77Wuu6WK/qewfnPKv9fTM77g5U37T6WsBQF9fHzyeKZ/2fFcnkXMqz/K6rrPfVM7FRmXOvlASLixj3mI8fMNVePGyZbhz1wEsGygMTHWhIP709VewPnASD99zBbavWwTdJF+GfheLhsbwvr07sLmrA2Z9asSZcLrx7JLV2FfXCF0z4Rpt4i3OIgiCIAjCXCZvMmFH82LsaWrENe3HccvBw3Cn07DoeVzT1Y6NvSdRagrgkWuuwKiPPzwJBazZLG47cAifeu0pVEemPhblARyoasTziy5DwCkak4IgXJp4PB7yQuntUF1d2MRneHgYNTVTodmjo6OTq5aqq6uRTqcRCATIKqXR0VFceeWV53U9eaF0idNXXopv3XY9lnaM4o6D+7FwovDlZP3hPqw/3Ie+Gh9+8e51ePLmVfC7JX4dAMy5HG7edxR/+NJ2XH2EroKL2O14fukq7KxtQe481PEFQRAuOLLLmyC8Y7JmM15evgxvNi/GLXuO4trOo7DlcnDksvjE0y/i48++jGdXr8Qj116BN1sXS7jWKWonArh323b8/ps7UBGhOx0frazF00vXYszim53MCYIgGDGHd3l7K5qamlBdXY3nn38ea9euBQCk02m8+uqr+MpXvgIAWL9+PaxWK55//nncc889AIChoSEcPnwYX/3qV8/revJCSQAAdFRV4xs33YrL+vtw+6H9qIwUwmYahoL45Hdfwp/94FU8e80K/PT2dTjcUntJOkgV/gje+/w+vPeZfagJ0NDIpMWCV1qX45WWZUhZrTBY/SkIgiAIwkVC0mbDM8vW4I2mJbjp+CFs7jkBs67Dks/j9n0Hcfu+g+ioqsQPr70Cj29ej4iTh1Rf7Gj5PK5pP4E/fH0bbmg7QlZyA0B3STl+u3QtusoKX8wtcXkbLQiCcC5Eo1F0dHRMpru6urB//36UlpZiwYIF+OQnP4kHHngALS0taGlpwQMPPACXy4V7770XAOD1evHhD38Yn/70p1FWVobS0lJ85jOfwapVqyZ3fTtX5IWSMIWm4WDDAhyuqweWpvG+p/biir2F+FZ7Joe7XjqIu146iLbmavzstvUYf48HiWID8aqLCHMuj42HuvG+5/bixu3tsOZobHFXVRkOVDViV+MixG1vP8ZVEARBEIT5R8ThxBOXXY6XWlbAY4ng3je2oyJcWIHTPDKKL/7sV/ibX/0Wv9y4Do9dtQkHF9Rf9B/lKkJh/N6evfjg1jfROE41gzImE55dvQq9jkp0lVZe9GUhCIJwIdi9ezeuv/76yfSnPvUpAMAf//Ef4+GHH8ZnP/tZJBIJfPzjH0cgEMCmTZvw3HPPobh4KqT461//OiwWC+655x4kEgnceOONePjhh2E+zygbTdf1OfU5IBwOw+v14i9uuwd2a+Flhb6Yiyfm81RYrM4bYjZ2MxXvOt5bzWxKK6iAbSpL37GlunmYl6OJHhOd4CJ3Dh9donJ5BRW5PBioY8fYLFRwbXSIx+C/d8Vukv7FkQ382l4qGp0epV/F8nYuuGYrpoJ12fGCkFtFOIyrjp/Aps5OuNLUJmfR0Lu+FO1bqnD8uio89r13s/MGm2mDjC/nS3c0VRA6wF9SeTroeUJr6T06i7mAeSZN69Ln4e1ovM9H8+LKojiexLWHjuOmfcdw/YF2+GKKqKGmoa22DltbWnG8uhq6gRqlXkHLyuPm9x2K0nopctF7iBi0K1UI0TLAyyqjiD3rCT4o2MeV35pp2eSyXLgvqwgfrl/Qy2wOjNB2rfU7mI1J0UosWhEk6VAHb/dZRZS9oor391AbFbVMl9OysgZ4OZgb6X0nI/yloF1pW7rBJgG5EVVJUvm7i/c5c4KWcd7o9b5FOVGWXnvNkm52yCLnKEk/NcjF8rU2KsybrODTwE2rDpH0Gy9dRtJpDz9GU/KXNxD8VYV5vWUxZhPpp/oZ+SJFmNNg1io6Qes3ushANFwRS0eCFrq9lPZ1AKx/Zw36hqpIazbza58eUwEglc7gv376U4RCoXccJ38unJ5XF3zln2By8j453eQTSfT+zd/N2P0JU3X819fdA7ulIJAbW2og/q6MXxWlEWbiVARt+zormY2jivbbtOI7WU7ydpZrpvNgboyPt1opnb821NB55oC/lh1jM9N+Hevn+jvvWrePpJ/ev5Zf26cI9w7T/BmNZ7qXlpV51AZzPodVA3246uRxNI+PsmOGvR68uGo5nl+1HG8uaUbKygWNzyn04Zxs3vplzXSJzerQsXRwCDcdPoKbDrdhTU8fswk6XHizsRk7GpsRcbgM85+upHXp8HDfKRmibcumzNHZUb4SLK/Mwa4+7g/E65XNNOJ8rHco1ZlQ+pieNShvRal7eVM/MzkyVEPSjh7eJkzqLhJraB/MHePPK2kvPcZdG2U2uQO0v6j+gD3A7ym1SPGLItwX1YqVsjHYJMA6+NYfpXMu3kjMijB23mzQLxV/SlO0nJtX8TpY7KKbHD3Ts4LZuA/Q/MarmAmuXH+UpPc/tYykUyW8PFVRbqONpjLFSr1UcH8l10ufG7JFBoWuUHKEpoOtBkLjyuY55pjSN8rp2AkA6tuF/Dn4TpqB72QenSqMVCaNb/9qZnynmfabgPntO8kKJeEtGfN48MsN6/HUmtVYO9CFa46cwAJ/AABgzupo2uFH0w4/3vWVI7jdcxRba5dja+1yHCltgK4ZDB5zlPrxCdx06ChubGvD5qNdsOX4zhIJtxXHN1biCc9GBN1nPJDPqVeygiAIgiDMFjmTGfsbGrG/oRHVoSCu7G7Hxq4uOLKFp8bqUBj3bd2O+7ZuR8xmw+vLWvHCquV4aeUyTBTPH61KazaLy092Tr5Eqp8IGNr1LfKh7fI6vBhfjbxp/viFgiAIwrkhL5SEcyJjsWB762Jsb1mEhWN+rO/sxZpgH0oGplZ4LA4PY3F4GH987CX47UU4ULEI+8YacKS6AUeq6xByut/iCjOHNZNFc/cYlnUMoWn/BNZ19mLpIN9+EwDCTjvGm4vQs6IUvctKkbeYEDw8N+5DEAThfNAwM9vfSgCLIBQY9vrw88svx5Nr12JdTw9W9fWheXQU9lMvl9zpNN514DDedeAw8pqGAwsbsH9hAw431OPQgnqcrKqYMxt8VITCWNXXj5V9/bisrw8bT3bBkzQWjDxaW4N4sxXH11QhWF5YNZHfKy+TBEGYX8yU33T6WvMVeaEknB+ahp7KcvRUluP1v2pGxckoWl8ZQesrI6g7EITp1HKdslQUN/QfxA39BycP7fOV4mBLLQ431eFQYy2OLaiGv9gNmC9QF9J1FCVSaBryY2XXANb192J5xxAW94zBmv3dy0D7y314fu0yvLB2GXYubcTfDj19YfInCIIgCMJFT8pqxZvNzXizuRnPrV+Oa44dx00Hj+CGw0dQHi2ELpl0HWu7e7G2eyrML2G1oq2hFoca6idfMvWWlyJpu3D6leZcDpXhCJYPDGBlX/+pl0gDqAqHf+cxabMZ25sX44VVy/HiyuUYKC3F3wSfvGB5FARBEOYOc/aFUv3qYTgcheydHC3nBor2xaDGdVcyURqD7DnBv46E3DQuMh+kMfOVS6iYIADUuYIkvW+8idmor0i2HqYxtL56rgETiCmaOap+CrhmkjnK7ymjaPM4gjQ3aQNdhZvqjpH0b+OrmI1DiVMP/UMJQihBBxrw2ybAU5HAstEBLB/pR8v4MOw5GhTcEJxAw64J3L7r8ORvOU1DxO5E2O4s/NfhxESFHSG3E2GXEymLBTmTCVrMjLzJhDwAs67DPJSCSc/Dms2jOJ5EUSgFTzwJTzwBb+zUf6MJ2A1C11Ty0NBXUoq2mnrsX16DoRIvoGkoDcbxru1HEK+njpteRstvUfk4O2csS48ZnuDt06xoZsUSip6EwXu2fIbWt2OCtxHXMG33wWX85Vm6jt6D10rTN9XRGHAAeGLnJpLO1POvphblnkqW8bLxH6b92WunceA1l/G+0dbZQNKhY6XMRv2CYAkrGkX1/Evq5ZVUn2NbchGzyYzQ/qQbfGS1VtFzO+20PItsXONLZWCA35M6BviO0TI/kG9khxytpnonmYyBdpQSDl5cw3VU3hihZbHs2pMkbTKI9Tz0ZjO9dglve/ZRmp+sjxfoymVUc67tyEKSdg6xQ5B10g7j8nF9gXiQ1qVN0boz0tDylVCdilCK63M4O2h/TyzmY6xumyoLHWfXNbgg6NpZNVWm7TrCrODZ5IfDXvCPooN8TFF1YcY0rjeECPWvSo/w9uovon3FMqHoka3gLx/q3HRsbx+p59dWBvI9e1tI2rrQQHNN8Xlg42PT0/uoZpIlatBGlf6vzq+RlYrQCYAbG9tJ+sUY110xeeh4cNezhfl1j3cJ9l7ZgoXj41g23o9l4wOoitMycmYy2NDZgw2ddExMWK2IWJ2I2JwI2wr/9Vc7EHI5EXU4kDWZkDeZYIqakdc0aLoOs64jV56GOZ+HM52BJ5aAJ5yCN56EN56AJ5GAJ55AcSJlOL6rxKw2HKuow9GqehxcVjX5kmt9dzfWd3cjvpD6IukK6h/UV0/wc2boMYEx3j41K22P6SitNyO1BVXfzznKfcOifnpe/2X8RLGF1MZho23i1kZFkAbA069Tvz29kM/JJkU7xnlZkNkk9/lI2utQ/I4NfB7vaafasdnDvDxNeVrXthAtq8QCPp+tr6UaRHtONjIby5DiO5t4m8rUUe0dm52Wp89+dm2eUC/3r/PKGFBxiNb3yTz1KQHgRC31nXIZAy1Rxc8w1XNt1m2D1HdacjPVEzOb+Hja+TL1cVIlzAQuxe9JlfD8Na0cIOnug1TXtLiPXzvjVu6p1MBf9St6cqVKmwhzzS97meJfJfkrB087vYewgX6TfkZdzoprMVN+0+lrzVPm7AslYf4RtTuxq6EZuxqaoel5VEbDqDKPomEsgAVjE6jzB2HPKqKHug5fMg5f8oxBmWs9Txt5TcOIx4O+slL0lZViwFWGQW8p0pZCV8iUcodREARBEARhutE1E3q9Fej1VuDZxWvhzKRQG5lAhdWPhvEJNPgDqIhwIWVnJgNnJoPK+Bkv7rjO8LQRt9rQX1qKvpJS9JeUYshWhglX0eQObUnbLL0kFwRBEGYdeaEkXBB0zYSRYh96G9zYtaSwgkvL51E1HEPDxAQa/BOoCEfhSSTgiybgTicxndH1cZsVYYcTYacTAbcbAyUl6KksxUBJKdLWqWZviczft8GCIAjnhY6Z2URANioQhLdFwmrHydIaHGia2j7KmUpj4UAQCwJ+1AYC8CYShX/xOGz5s6/CPldymoaw04GI3YWww4nRYg/6SsrQV14Cv3vq5REAWMV3EgThUmCm/KbT15qnyAslYcbQTSYMl/gwXOLDrsVTS0IdYyaY8nkUpZPwJBOwF0ULy6/jCVhzOZjzOiwJwKTnYdJ15Ewm5IvzyJlMyJlMiDntCNhdCLmcCLudCLkcyFgt0MK0eavbiAqCIAiCIMxlEnYbTlRX40Q1DV9yDeqw57IoTifgScVh9SbgjSfgTqVg0nWY8nnYEjpMuo68piGvach4Cj5U2mpGyOVEyOYu+E4uB6J2O3STCdYQDcnSDbZlFwRBEITTzNlH7K6+KthshZhMeynXwrC10XjNyAq+vsVTSmPt42u4iKHVQpfpmoaU2OEurkFw9HIqQGIu5jG+iRC1WbholKRXFA+yYyI5esy2/UuZDSppbGvOymOx3UXUxrmIxrpmElwDpDNBdW1a60aYTc8eGovbupHG9B/u5noIFjv9euYr4Uu3g0kfAA0pOOGHE1kfj4fW4sp9KpoEWvCM9pAAtARgUqLXjBZkZ3w0f5qBbtWx7lpqoyztnniaOnkAEFhO00ZtuMRBf7NbaIaH9/LzVq+ju9Hlqni7Hz5M48D/vzXPMJuvvfFuko4P0zL/RXg9O8bTSOPzDx9dyGzMKdp/Rmv4EHP9lYdI+qUDK0laL+Zhh+U1QZIeh4/ZeI/Ta8cvp+WbDnN9nDe6qOYPMgbx2w5a37YA73OVjbRdB5O0Lw/2lbFjTEpZwcVbqKOfll94Pe3b+QQv3+WltI3sG+BaAcqwh1gf11WoXEz143oidCyMtPEg/8xCmj+blX8914apVlwiycflo+O07efttF8uubmLHXNo92KSTkYczMaUov2luYTe45FYDTsm3k77RnGrgTDtaqoVoIdczMScnLq2yUCbYUaQFUoXPSOdZbBbC/OhuYz7Jr59dMzwr+Vt0VZOx86Jy7k+hlkZRIqUcCvLCb4bavs1tK/nvQYh5gE6TlcsoTo7l3mpRggAhLLUpzmwo5nZpGsUP8hmoC3noeWVb1V0QmJ8DumIVZB0/UKuGzixjdrUXE39v84OPu5oyrzjLONaLel4MdKwIQIbBuFFupTPIeYYnWeyXmpjPT2fpQDLqeHbpNx23sbnxbSPdnKjl059J6roD8o9ZX7Ofb3wGtrWzOW8DRe76Hir+k6x7dxvd20O0vzyIkdkHz3urzb9ltk8+BL1nbQBOtb/KkS1ugDAvpjWXfehOmZjVSQeJ+p4+7zqeqp1unMXfUbIePl8W1xPfZM4iphNaRs9bvwa5bkoxPv/3hNUO1b1/QAg56Btwu7nNt5mWjbhBJ23g10G+qNpeh7dydueu0fxRa+kaS3Bj1lWQZ/TjvTUMhstpxzXzef64iVBku6JKL7SXl4H0UW0zDWbge80SOshG+f10pGl/r9J8Z1q7uRxsZ1vLiDpXIj7ZGr91pfTcbknqvR1AKYjtGxsy/gYlqTyYtCC3G8zJ6eubeZyXhceWaF0TsgenoIgCIIgCIIgCIIgCMJ5IS+UBEEQBEEQBEEQBEEQhPNizoa8CYIgCIIwfWg625X9gl1HEARBEARhPjNTftPpa81XZIWSIAiCIAiCIAiCIAiCcF7M2RVKxSc12C0FIa5wExc9yyp6xQ4nV+oyEppVySiile61VHA1MmJwjnGaH5M3xUxuaDlK0ttep8LDgTAVTgOAuKJpli/iryqri6nA3hIPF88+EKCCf+GjVBBOa+LCaMd6FfE5E7+2TREW7HuGCrlhKReE1PNUyC2c5KKWqKLlV+eNMJMSmyJq+BK9dkzJCgBkVTFlPxc5zJVQMUdthIvRWRL0HjLF9D1saBOvf9MYvc9kjJ83eISKlq6+9jhJp1bz7pnN03sYPVTBbDLlVMzv3165ndmUHqf9ZeJ6RRDQ4C15rJv2hbyb17epXBFLH+b1/UJqGf1BEeH2tPH71q6laWuAvwsvuWmIHpOiQq119SF2TP8hqsyZq+V1qceo8GGmmBdOTqdtJBqm13aUcVH21Lgijm+wC3O2OfmWJq5e3qb35alYpipoDgBBGx3D9Cwvz7F2KiSu5RQhTAcvB21CaeeJs4u55g0EqvMJel8NDVTodv+gwQYAir6vo4iLuWYDtMzb2+h5LFW8/s0p2h4jY1xQ06UI5i6s8jOb/tAZY77RDgEzgYhyX/T42vNwmAsNLNjC551oPe2TZhdv8+ih44PVoL2mK2mHS2ymY1xugG/+gRE6H+glXJT7yuV0Hjz4QitJ7wtwkd5YLR0vcgZjdImPbtKyxDvKbPaPU98pf5DOeVoLH1N6OhXHzUCcWltK58XQE8ox1D0EAOjKeBuLG/hOtfS8pSUxZlJip2PTxG+p8xxqMpjPlKpzjPFxPL6Q+hmOIT5vW2L03GkvraeR63jDsg0r/laUCw/nD9J2XX1zN0n3beTzYl7xReN7+aYSyUqa328//W5mU95GffDBdysiwnmDjT1O0v6Ud/Myzyr9yT7A73tbmvYFeGj5le9lhyB9iyKMPcHzZ7kzSNKOJG0APh/fiCK4j27kk6jnfdkcofWQ8fL71pWfskFatyYDUfbcGLXRDZZGxJYYCP6fgfck/609S/0BTwN/FonYaX3rGd7WTG0+ktbUDYL4fgWwKs8nFnUjIgApZW8X1ScDAC1E+2FJY5Ck2/q50HhRmlaCqZg/T1v8dPwZ3K88hNcYHKNsGpMa5nOCpmw0VVEbZDbBiTPE8rlW+YVHRLnPCVmhJAiCIAiCIAiCIAiCIJwXc3aFkiAIgiAI04isUBIEQRAEQTg3ZIXSOSErlARBEARBEARBEARBEITzYs6uUEpUAHlrIT5Ud/JY2KJaGiseMtA6MiuxmRYzj9fOKPGv0TiNj7WUcH0Bi5kGcSYneFzoa3tXkPSCDVTfZSLBdaEsbVQbQI1jB4ChERr3PXGonNlkPPQVp6p/kBnjJ3ZX0/KMBbjN0jKqORC6kdroL3NdqPTltO6YbgwAuGl5DnXxexqLKHH1iiaBbqDD4vRS/Rl9iAcuFxVR3YdA3uAd6yiNZdeV0OZ8jMe6WzNKbHOId7VkI72HnQMLSdoywDUT7M00pjvn4q+zi7roPRRvHmc2cUVb409rd5D0f+6/kR1jVepAN/GyWrSQasecCPJ4bccgLYusoicQWcQOQXiY9g2zk9933xEa050tpe0qaOL1b1I0k/QIr0uzogPkWBhlNkPjNH/FHtquolFFZwFAUQ89b7KMl2cuqdRlHa3/UCPPr62I3tN4H9eKsAfotTUerg+9ifafOm+QpAfDHnZMcwmt/2PtXOsor2ibOdxcIyEZoW1/qJ1qhVljXDugah3VkxvdWcVs9FZ6T067ovm1k+sjRVfQ/BnpTTV6Jki6fZyPhc4zhk/TW8s7XDBkl7eLn3iVCTlroUPnXNznsSxQNBQHuS+SqaL9wmTgO0HxnVJh2me1Mt7ITRY6JpvH+By3580lJF16BZ2/AnED32kf9SuyBholwUE6Rh/azbWYsspQac8p2iLDXJMKdXRMyfv5PS0uH6N5uZ3mt/S3PC+BqxWxkDF+7VwRrZfQCR+zSYTpb/FV9Lxamo+lJsXvNffze3IWU5uEgZ6LY4S2EUUCEqYI94tMynRgDfLxNtxM7+FAbwNJu3oN9CeXKjqGBm3Ed0IZuLZw3UX/cloP/7vhNZL+3s7r2TH2ID1vysTLqr6ZziH9E3wOcffR49JFNB1cwgfe/CB9NrIYuOCBg9TnTpXTdjVk4v4LFM0kc4g7Ear+aH5RktkERqgfYfXRdpWO8HZf2knvM17B20g2QX0jszLuhZoNHn8V7aB4N3+udCvudN7M6zLRQs9TWUI1qMZC/LwLymj9DxyuZjY5uzIeubluUT5PyyvSRge1oghvI64rA/S8r3OfMbycXsvqoH2wdCv3Rf2rFW3WLC+rRh+9dvcIf/4rGZ46jzU7886F7PJ2bsgKJUEQBEEQBEEQBEEQBOG8kBdKgiAIgiAIgiAIgiAIwnkxZ0PeBEEQBEGYRnSt8G8mriMIgiAIgjCfmSm/6fS15imyQkkQBEEQBEEQBEEQBEE4L+bsCqWsR4fJVhDisgS42Fu6h4oY6o1cADKriCVnLQbCkgreQ7RIIk0GeTMrwmgeLoxmmqAihn1BKnKWDXGhOWuzIhqY4ffdXEEV4Ya7aphN2qumaX7L6oPsmNAJmj+7KtwJ4GAXFT60KgJ25o1K/gEs8lKhuREbF6Ob6KcZztt5PW1aeZykt+9cRtKZSl4HmV4q3mniupIIhKnNvc07mM2jyStIuqSSCiPHkvzEtlLaHpPdXOwXcaX7KeWZLldEOQFkVHFnH2/3eT9t94EkV2FMBuh5vj1xA0lbDESPVTFyzaA7+ZNU6VI36HO6iZ4op9xSRT0V6QOA2E6l/6zibW2hlx43+CoVBG+5oZsd0x6gYs8pP++XWQ+9B6eVt7WkjZZ5ZIK2K6uBYGW0iZ7XHDEoc+WVf1gR2ISNl282Q9vV8pY+ZnOkg/ZlE997APkUzXNPLxUJtZVwgc32Y1SEO+/m+dMUofFkiPcfc5TaqG0v18yvnVYUXzOt3MbtoIqvxXZ64wNLeF+xKG04l+f1dGSYCmgurJhgNsHUlEh4bpZEuWds+9t5LCw530n7AM1aqAC7n38ztHXSsSnVbFBZUTqG5C3cRu0F5XupTaCFi7TqFnrenJfPcfZxajM8Qf0DU4C7rallyiYdaT7e1tXQPhk/XsbPU0rvKqVo0zoa6dwPANkjdExON/HB9OQJOhfpXjoAaFfzAWFBGZ3Pxhzch0j10Pk27+D1tGLdSZI+/HozSSer+Rht7aSTctZAkzkRoj/es2Ins/lFYjM9bw31K1MJ3kZyFcq82MEvrs4POWWOTlTyctBVcecS3vacI/S80aiBgvUEPc93/VSE22bkOyn9R+OXxnhc9Z24jeoP5JT6di/k7dP0Om2f4fV8E4y60iBJx56hwsiVdwyyYzrGqe9kGuMZVp89igx8p6id9tXsGK1vR4CXZ0gZs6xhZgKYqE2uj9alZvA8kFfGjQXLh5lNr7L5i5HvpKdoRY13llKDMl4Hg4eUTWWKeBs2K25vPmjwHKn4kXmlWmLLeB3YcjS/keV8PLI56XFFdnoPEyt5XjQrbei62oABdA1Qv7Kyigvh64kp4XZT7uzP8dPOTPlNp681T5EVSoIgCIIgCIIgCIIgCMJ5MWdXKAmCIAiCMH3M1Pa383nrW0EQBEEQBGDm/KbT15qvyAolQRAEQRAEQRAEQRAE4byYsyuUtKI0TPbCqzpvNdfCiBz10R+yPM7W4aXBrbk8f3+WUXSWUptokGo+yuNCW+tGSFo3eKMY8tB43YkOJRifnxYOG41RzRhoKJ3soXG2TrNBvLadxq26euh5/MU8Fl+9UjrOY9sdw9QqlVbi2A3KYcRO47ddVh47HPTS3/Ixfu1db1DNpPxCWrdlxVxTJxCh2gtFi3hsbqTXQ9I/3nsVszErIbuhKNWg0EM8vxmlWv7kyleZzdPjK+l5kzR2vLSE31M8Q68VjnN9gWQLrYh8kNusXdRL0ideaiTpkqvH2DF9IzQOvKQkymwsJtr2NDsXC8g6VX0cWsDj3UpfAeBWwr6zw1zboO8orZdEC40D39e1gB2zYuEASXvLB5jNm0daaf5CBv1nnNaLtYa2Tz1s8O7eqehoGOiq2Suo5oRL0SBI71QE0wDElfj3o6NVzEbz0D63rIprBbT76XG5MJ0uSp1cZ8271E/SXUGuU2LuU+qpmo9h9voYSVsVHaNFxfQ6AHDsDSp4ZzKQv4h4aRk3LlY03oJUOwIA9GpanqYQnzZLGoMk3dPJy9x79RlCD6kMwOXaLjyioXTRk/dkkbMV+pSjjgt8ZA8p45eBnpdJnZMNfCdVZ8l/jaJjFOHHLFg4Ss/LlJiAkJfOV7ZjdI7O2XnjsjnoTaQMNJSGO2jfLuYmTM/P20HTQQ8duwBAnV3zCT4+FCkSNMm0YmOws8+ondaT2859p1gJvbo5wm/q6IuLSTqxmJaV22OgRxem1za38rHe1kXL4vFtVzAbk+I7JRXdJUuItxFVZuX9N77ObJ4cvoykowkqiOMr575TLE3H/mSMz7ch6mbCZKBR07q0n6RHn6qjx9wQZMf4h+k8bS/l5WlR/KC8g2vFZFxK/So6QYlO2lcAwJOhPphl0OC+D1E9pMhyet5gO9VGBIDGFuoz+KoMdFf3L6LnDfD+Yx+l95SuV9q5gV+Uc9GysQV5u9er6HnsyvOVYyvPywRtVuhU9H0AAF7FF6kbZSZdo3SsMSn5Kyri7dO7imqm9fq5H+zqomUR49WC/ELan82K77TEx32nwRfpiRwuPh6lfXTMKltC8xub8LFjUrW07dkM9JBtzVT3a+I4v2/LTVPllUplgDZmcmERDaVzQlYoCYIgCIIgCIIgCIIgCOfFnF2hJAiCIAjCNDJTWgDz+CubIAiCIAgCgJnzm05da74iK5QEQRAEQRAEQRAEQRCE80JeKAmCIAiCIAiCIAiCIAjnxZwNeavzheGwF7I3dJgLnKbLqNiXu5e/G4stpEJ965q6mc2BYSoal45TJdeq3VwIcfx/uUk6ayBYGRmmYtTVzVQIbfQkF6tN56hgmdPBr53IU7G0VGuG2Zj9VLgtsVgRy0zx/HpbgiS9xDPCbPa4GugPYwaqtwr+MVoOfq71hmZF5PxkrJrZ6C1U8O8vF1KR638/cQM75ra1+0j6t4fWMpu71u8h6QMRrnIXy9DyHBuhAotmH6+nXJx2rR++voXbuOjaxjXLOkl63wkqMgwAukMRvTZ4JWwep9d2hHihD1ZT8cboIircl5jgYs+q8H06y4ePYFgRLE9yEb5cEb2WpYi2z5JqLu4YTFBBcKuBTdKriKPnDRqbQuc2KtStGwi1WpXbzHDdS9gbqIi0x0GFEcdqDY6x0LpsXMP7XO822ucCNbTsFlzNBSE3uMdJ+pXjS5mNlqNlc9TPBcs1RRM0r9Tb8ACtEwAYj9IGedVGrp74JpR27eei8fHIW4vNHo3ySnAEaX+yr5tgNsFDdNw9aKblW9PCBStHO+gx+RKuYhxJ0bmmeoHBeUJTY6GRaPCMIKLcFz3lpRE47IWxMLKX99FUOa0c70l+jlAznfOWNfczm469tO/oUdoHKrdS0VYAGP1DKvacMxij8wPUryhaRjfTiB/jc1NW2cDE4uJ+UVan80NwhYG49xgd7INL6RhtSvIJ17yMbk6xroSP4/udtKxMI3wjD5XEKPUzE5qb2dQvpGP9UIRvKhBfRsviL1teJulvHr6JHXPzpoMk/dKeVdzmyv0kvS/YwGziihB2bpDWf7aUb9phitG6/Pnz1zCbjKKn3HpZH0m3H+V+XN5B61s38fq3j9FrOya4zXAdnXtCS2gb1v3U5wUAU5raZLN8/E8qm6eYE7ytZYuUe/DQuchVxAXW43Gan1wtF+oPl9B2r/oHBtr5GH+J+umjBlOazaLct4FbmWuiefY5aTq4gF/crAiYV24cZzaBl6mgdqyetsWim/j4dGUR3Yxm++FWZqMpTbZ/fw2zsSm+U6aY1lu4hxdEIuQj6cuvOc5sdmIhzcuYgWB5iI7DpjAtv/4wf25z+pUNYjZz0XDTXtqOOizUqfUu45se6cpYrT63A0A2Qe/Bu5ifJzAxNW6k02f366cdEeU+J2SFkiAIgiAIgiAIgiAIgnBezNkVSoIgCIIgTCOyQkkQBEEQBOHckBVK54SsUBIEQRAEQRAEQRAEQRDOizm7Qmkg6IXdVogzN3rrVUblceDfwGMzLQEa1Htk22Jmk6+kwa7WAL3a6OU8RvWyokGSHozzeNiYIqszcYjGtluauQZMapQGhpu8XJunzEfj9ccN4rVt1TT+VVM0CXJu/go0vt9H0ttq+XkdPhrb7BhT9JyaeX7NyuvWXII3uZM9NBbbVWagj9NH9QP+LUnj/uvKguyY37atIWndmuc22zaQdMYgxtfVTduRdQUth/wIjVkGAE2J1/d28fMGltK2tq+d6nmV1/MY74kwLQfNbKADEaT6DKYstxnvoNoajrhSl2U8Ttk1RPNrr+BaMhkbLatMlGtFmNRmElZivltjUMnX0bj/UieP8S7zUd2aI32KcJFB/eeW0fOaDMKzF3iCJN01zvXP4nE6TqgaSrkMH8Xyfnrf7Qk+1uj1imZWhmZwKMy1hHoG6FjD9BAAeKsiJG2kA+ew0PpNKZpZmSN8jHD6aVt7vaaZ2bAxwMHrRdXrMidpungV10fy95TQH7q5fszKy7tJ+tjuRpIOebmeU86r9F2DusyM0jE2UMlMoI1M1a9ajzOFNkPb387YFrsCY9zvge2U7+Q0aGZV2+mYN3wNH3fs47SN977MNWly1Ypm2QS92Mh1PnbMIg/1nYYMtNBSKXqezF5qk13CNWBMw/QesiV8vi0qpX5FbJRrEmXr6ORk71XOa+A7mXfS8+xfsIjZaIrOokuRWQq38vxC0fhRtYUAYKhDGesredmYu+mY9s0E9Z3KKulcAAAv7aOaSXneRPDqS2tIOlnBy8bbQdP6Gjqn2Ia4f5BTfCffMT7X+1fT8fb4Ydo+XQupnwwAkRA9xsh3cvppuzdluE1U0YVxR6lNopLXUxGVeEK6mtd3zkGvrUUN9LqUvmEKK77ecl5WiXpa5l43byOlZXQ+7e6iPrlu5eUQWaXo7hgM+jUlYZKOj5Qwm6zqIyoaSkaar1qIHtMT59phmiLVaFJueyxA9bwAYKyX5s9k0C2ttbSMcwa+k82q6NZmqM9jO8D9DNcoPWZ7g8E4EqdtS3fxMtcUjSGL0iS0dbxvBDsVX+4k75eNVw2Q9MCbdSQdLeHPQbkS6tuZDOrSpPj/IS6hC8fgVPlpGQN/8QIzU37T6WvNV2SFkiAIgiAIgiAIgiAIgnBeyAslQRAEQRAEQRAEQRAE4byQF0qCIAiCIAiCIAiCIAjCeTFnNZTcjhTs9kKsZLicxySHTEpMqpvr7mQyNE41W2oQV+9JKDZKHHOKx5IeHKTx2nYn1w7K+Wh8sXOE5jcxROO5AaC4n6bDrbx6gmM+knbVc72ZeITed9niEDV4nmuf+NfQsnH38HeNMdDzmktosKc2zstKU4pcM9DdUWOkMyd4bHNeicU1j9GyGXdS/SkAMEeUezCImc8W0d9a64eZTaeLauaYTTQv2RIa+1yAxjH7N3OLTQtOkvT2DqrxNTbO9SVcPfS+U6X8npKtSrB40ECbR4mJV+/AGjbQiVGqJd3FtcOyblo2vpowswmN0va3oGGMpMe2V7FjNKWtjeZ5Gw5YaRvQ0vQezF5eT7msMrb08zjwkzW0XetpA22DuKK9FqBtRnfzuO+yhiBJj4/x+raElHtQNBTS4Pm1xugx2WJ+7aCfVqaRzlJM0TGChdbBgvWKEAiA3p4Kkl5RyftTME3rqdLB28jBA1Q/IOOj9xA6yvWR9Bo6Dpd4+JzQdmQhSee99LyfaXyZHfPl9lvoDwHenyyKBlm5m4/L/WVT7SiX5uOgIEwHVmcaNnuhryYr+FgV0BT9Djf3XzKK35My0MexKBqPqu5eLsX9l+O9VCDD7OT9IF9K+2TRkJK3AT7meRSNwokV3GfMDNM5w9yYZDa5EO3bllaqN1Lya+7jjGyix6i6QQAQXkRtkuW0rGxjPL+Km4FkJfdf1TnOeZRrs6TKaN05Rum1gi7ui1ojNH+6wafnjIeet75xjNn0u6kmjabcVNrAJ1cZup6Pt6ubukj60NFGko4a6GN5Ouk9JQ10IoMraHu0TPA2rPpOacXXswXZIUgrU3v+BM+fSfFFLXVcDymjPDf4FlGdzfQrXKPIrtxnKM+vHbbRdqPqDeUNNMn0rNL2enhZDdTReVptrwBgidH8xSZ89JgiPvY4mqjuV2yYPzPYA6oOIz1PErwvW6OKfpuHXzs1RuvAZDCVJ7N0jNKVonFewfVR/Sdp3TXXDDGbYIpeu8rJ9c86di+g+VV8Z/sh7jtn6mj9On18bOw+SDWT8sp5P938Ajvmq4ffRdKWCG8jVsVVchbzdj9RMVVX6fQ8Fhm6yJmzL5QEQRAEQZhGZmr7W/H5BEEQBEGY78yU33T6WvMUCXkTBEEQBEEQBEEQBEEQzgtZoSQIgiAIlwAztf3tfN76VhAEQRAEAZg5v+n0teYrskJJEARBEARBEARBEARBOC/m7AqldM4MLVcQD3QM8Gymm6ggZNF2LiwYvIwKjbk6+Xli1VTMrfQoFQ3MbDYQjVTE6JJBLoRYVknF0tI6FTA2V3PhMb2e5lcbNxDuS1LRuFIXP086Q+8zmqKihuYyLgCJPL2253I/M1nspAKViSwVtTvRTwU3AcA2Tq91xQKuWLm1j4pR600GItcBKnKXUzS4yxxcRC65mN7TYg8Xjdx/lIr/dvrLmA0Tbh5SREHLeX61sCIaX8UFgtN5g3o48xwGIuJxpWx8B3ibzg3R+o4uZCbQTfTc1607QtIv97TyY9I0vyaHgUhojOYnvY8Ld5vKFTFPFxUoHPBWsmNsE4pIaJgLdSaU/mMroW2i1quI0wPoO04FwN1LgswmGKT90BwzeA+vCKjmVBFug68O44roupEwa7qajj+5JLXRbfzEGSstB4vLQIxc6U8blp1kNqNJKt44GKZ12TNUzo4xK0K9bQO1zKa6nNaDx8L7rl5Fz+N20HRMNxgbJ+h4FLVx8V6LMu5mB+m88aVjt7JjzMpmAzVL+DjSN0zFR0cPVTCbM4dqc3YWP0PN4y9gwtnJ5cyTc5a7lwsPR5V5sfIVbjN2OW0k3naD89TR/lW5nyr5Dl3PG5qm+E66wYYRrmpFpVWnk32mlouIhxcqvtMI98nMyjBT5ObjzoQyxyWStO9bKnl+Teo0eC3fZID5Tjl6noFuPpY6R2mZb1zcxWx2dTbR8zbzDRjMfjonZ120XopcigIzgGSr4jv5uD94/GADSfePckFoPUPr2zamir1zH8ISUua4Gp6/TJ7ekyoarlt424s003TFLu7bZwfotUOL+HnUa23Y3E7S204qFwKgKRvP6A6DeopSG/sO/kyTq6JtosFNfae2Er5ZhdOviDKHuP8SWUh/yys+bYWPtl8ACLbRa+VX8I0oEKD9UBW9LhxIkzm3stkPLyrERuhzm3OYnzdRr2zko2yckedDBFKqP+XmbUTtT8tX9zCb4QT17cYC1Jca7zfoKyX0Wh29fHOaEuW50mvlz3+pGnoeq7LxQcpgIxf1OS1pN9hgqZb2Q0sfPc9XD97Gz6v4tJ7lBmLkg8ozwl4fsymOT9VLSt0sZqYQv+msyAolQRAEQRAEQRAEQRAE4bw47xdKAwMD+OAHP4iysjK4XC6sWbMGe/bsmfy7ruu4//77UVtbC6fTiS1btqCtrW1aMy0IgiAIwnmiz+A/gSC+kyAIgiDMM2bSb5rHvtN5vVAKBAK46qqrYLVa8fTTT+PIkSP413/9V/h8vkmbr371q/ja176GBx98ELt27UJ1dTVuvvlmRCKR331iQRAEQRCEixDxnQRBEARBuFg5Lw2lr3zlK2hoaMD3vve9yd8aGxsn/1/XdXzjG9/A5z//edx9990AgO9///uoqqrCj370I3z0ox8952uVuRJw2AtxvP3VPNh1XU0fSZ80LWI2ziIa85kq5xolrioa9xtQtDl0ncdrunposXk3jjOb5AtUiyexiebF1KWIAAFAC3UcdSsPHk4r+jMDPTz2Xn3DuXwJjfE9UtzIDllYT+8hmeNNI5KhMbOD+2pI2rOUawdACel+o38xM3E5qSZCo2eC2RwJ1ZO0qg0RM9A2cFho7PDh8Rpms6yVtqPjBxYwm8vXnyDpnflGkraM8mtblaJI+Xh57u2k5zEpsc5GkcK5OD1PcJWBjlGavicuPsnPFF5GG8nW7SupQQ3XqfCW0b4SCvEYf3cZ1YpKe/l950O0vN7opm3CbCRRpIR95wzi321Kfzcfo32sz8sPypfSMo8d8/ETF9OyWrRkkJmc6KX6YarOkrmWx7rXFNP+PjLAY+aRo3XnHKTpRD2vW7OH1l1+nMfMF9VSTYSuCNcOm+jzkbRupeXgq+QPukU2eu2hgIfZDPtpzPzQqI/ZOItpXUYjtO40g3HZqUgbRQ36XEMljeEfSdI2UlsWZMf056jeQf+4j9nUVNLj/KN8XP6Tdz83lbdkHv/2IjMRLlJm0nfyueNwnNLAmKjlc9OKBQMkPbqrjtmYiqiGSryKjyGopRpEY7oyvub53FTcSfut+Squa2f7NfXBRq+j53F28HvKLqPja97OP/MmFVmzdCfX9zMrLlfTCjrW9/l4WZU1UX8lleXjTlTxncI76HhrXcXnh6wyhKh6SQBgcdN6avBxjZLeAJ2bPF20bKI1vDztVnreoyN8bmpcMUTSQ7u4f9V6ZTdJH9Sp7pJjmPvkjiDNX7CU2xxrp/6g7uZtTcWUoHPy2AZ+XlOKts+SY9wH919Gbfa/uoQa1PG82Cto/aYC3BfRKumcFy7hjpApQLVt9p6gbcJqIMuZVao36zLwLIvpvF18mF4naKDNlC5TNGoPc11Di4fWZdWqUWYz2EE7pjlG85dt4L5ohVfRJOvlmkRQtHaKqKuPiIG2aN5H/UHLmIGWUD2ty84Q952SXVQzyaT4TtYa3t/ddnqffn8RswmM0fO+OWQwhnlpO8oq/rY6xgGAe0Ttc3wMK6sJknQsScc0byUfy8fyNH/jo9wfLKmhD0upYR+zufe9U85SNJnHv77JTIQ5wHmtUPr1r3+NDRs24P3vfz8qKyuxdu1aPPTQQ5N/7+rqwvDwMG655ZbJ3+x2O6677jps27bN8JypVArhcJj8EwRBEARhejm9/e1M/BOmEN9JEARBEOYfM+k3zWff6bxeKHV2duLb3/42Wlpa8Oyzz+JjH/sYPvGJT+AHP/gBAGB4eBgAUFVFv2ZUVVVN/k3lS1/6Erxe7+S/hoYGQztBEARBEIT5hvhOgiAIgiBcrJzXC6V8Po9169bhgQcewNq1a/HRj34UH/nIR/Dtb3+b2GmassW3rrPfTvO5z30OoVBo8l9fX5+hnSAIgiAI7wARlpwVxHcSBEEQhHnITPpN89h3Oq8XSjU1NVi+fDn5bdmyZejt7QUAVFcXYrXVL2qjo6Psy9tp7HY7PB4P+ScIgiAIgnAxIL6TIAiCIAgXK+clyn3VVVehvb2d/Hb8+HEsXFhQN2tqakJ1dTWef/55rF27FgCQTqfx6quv4itf+cp5ZSyctCOlnxJEM3hjt+8YFeHWGrmNQxGJy9dyNTKbItyc9FFhtEXlfnbMsIsKoxVZUtxG0ekrcVIBy5p1XJxuJEHPmxng1ZNSRLm9J5kJgkvpffpTSjkYCFb2d1TS/C3mQuPdvdSx1RTBvWySizua+qn44PK1Pcym7TgVwj6R4+85dQu9VuU1IyTdOUDzDwCJqCKMXM2F8E5MUEHAjI8LKu7sa6Q/pKjyoUabEACg/ioqfHpipILZaHnla3SMCgCaYvzLtC2jiDS3ct2M8DAV84vVMxPARMtTU27bZOF95fKybpJ+uWsVs/GUU2G+4B4uTpytoNc22+jFrfVchNGkDgLHuGBhapyKhKdrFNHIEl7/qTQtc91A1BLFtIJVAW4AKFEEqsNRmheLiZdnzwAtG7OX90tLhLbhrKJ7eXkLHwB29lO1Sd3Jr505SseaaAm/tm6nx6mi8ZE+/gCbDNP2ySUtgayTXmvRSi5y3hf2kbTNSUViTW7eRqJOOv4UFyeZTX8fLXO9nLYRu4l3Zns/vYvUggyzGQnSsnAsjjKbb7Vvmfz/dDoD4Almc6GZqRj9+awDcCGYSd8pkrQjfcp3MqqH9sM0NE5r5vNM0T467kQb+IlsFtp3EsoGB3VVAXbMWBEdtyutvC8Nr6J+j9NFN4OovoL7JqMxel5bDxc9TiouQslRPtf7V9EJYELxnXIG2uSBo1Sw2LMkyPPXSYV7NZ8iPJzgI6Wzh/7WvImPk91tVAi7O8sFgtVB2HETFREP9vJjtLBSfnV8vO0eU+7JYA452EXbmlkRxjbx6of3RuobBwe4D6EpU5o5QuvNYuA7mZVbyC03EEIfpPN2eKGBQ6DM5VpWuW+DzXQ2VlK/d2fHMmbjrqLzVXafl9nEFddDt9M2nGvgBZpUfD3HId6Is6O0kcQU7XmtnM+lSNF+mjcSBPfQslAFuAHAVkM3cklEaP6MfKfxbirCbfEZ+MqKRnSaujxYuaKLHXOgiz6LqL4KALgP0r6RNOhy6jNWXhGNN3fzTZlSyiY33MMFsk56nxUGz5GDii+iuem4rBfxewq6aP1bvfyZdqKLlnm+ip6nxMzH06IeZR5p5HUZGKcVY1nC29p/Hrp+8v8LvtPPmc2FZCa1jeaz73ReK5T++q//Gtu3b8cDDzyAjo4O/OhHP8J3vvMd/Pmf/zmAwnLtT37yk3jggQfwxBNP4PDhw/jQhz4El8uFe++994LcgCAIgiAIwlxFfCdBEARBEKaTxsZGaJrG/p32LT70oQ+xv23evPmC5OW8Viht3LgRTzzxBD73uc/hH//xH9HU1IRvfOMbuO+++yZtPvvZzyKRSODjH/84AoEANm3ahOeeew7FxcVvcWZBEARBEC4oMxWjP4+/sl0IxHcSBEEQhHnITGobned1du3ahVxuanXY4cOHcfPNN+P973//5G/vete78L3vfW8ybbPxaKLp4LxeKAHAHXfcgTvuuON3/l3TNNx///24//7730m+BEEQBEEQLgrEdxIEQRAEYbqoqKBhpF/+8pexePFiXHfddZO/2e32SZ3GC8l5v1CaKUqcCTjshXjgWIpHk9YtHiPpvkEeyJpsoTGdepIH+cZS9E2daZjG7/ZYaHw8AGjdNIb2RDmPh7UpWiKxgI+kW689wY6xm2n886EWJ7PRE7TKslfyOHBLF/2iOWinsdi2CI83Tiv6LQMTPH67qJxqGThtNL/pl2iMLQCkr6RaIkfbFjAba5rmJ2Pi+gdmxaZ7nNaLzUBTJZOldZlPGii6KEVRU811HxwWep/DURqjXNnA9VK6ArQ9eot5PQVzVJ/BOq7UbRGPN1Y1HFxb+dfrK+44TtLbOpqZjTlIr5VuoOWnR3lZbR1ZTNJajrejoSHaBoxehNctpBoYOUVLamiEtyNN0VkyL+Zx1i1lVO+sbzsVAtjQ2suOeeMA1TLIW/jnAaeTxpNnhvl4FHLRMcDWRW+8cROPde9TtA3iLl5YJcW0z+XyNEr5ZITrS9gdNGbe5YkzG189bY82A+2g9g5FfEsZK42+pBRfRvU5Qgnel22HaVl1HK9lNo5qet/uN+lYGFrM29571+0k6cdPrmU2ulLmnlJ6nZOjvDw9K6hOmWk/145KNNExIpHlOhUlvqlrpVIG4iEzgaxQuujxupJwnNJWCaS5b+JtoXOcv9/HbEKKDqOW5uoISWU+dfTTOWXQwn0I50k6hgxU8vHBEaJ9W/PTeXLprdx3cprofHtkGT8v4tT/C97AxzxbB70H/yidX90h3rBTynTlH+Nzsk3Rx3EovpPjKe7rTdz4/7f351F2XeWdN/6cO9+qulW35nmUSvMs2bLlGbDAEP/ikIFAmsCb5P2RZZJuh5WQgSRoscB+gY5fvw0vpOlfmjah3bgzEEgwARljYVmWLcuax5JU8zzdue58fn/IkvzdzwFLtqpUZX0/a2nZ++rZZ897P+foPN+DeQYO6X3Sa0id2C59brsN3cXRiTCkrZDeiwo5Q1vQwXc2CbdG1W8BN/bxRMzQH+3C/VdEZMDw7QIOei6ZAo5vYALnZzakx8n0nSqf1edty2/0QfrwmQ5l453BspIdhm8S07dV+0Y68RoOupuRQVwvgYA+48LLcO3mDX8gOqLPJtuHazm5UhfeUofXje7Bm9TV6/QXJA8d6IZ00cG99pTi3PKO6nU5V4K/lZ3HNtXejfd6IiLDrjCks2W68FA5+jhmX52P6rPe1IkMhPXaCLXjuqxx6/4cOo16s64ZY05o115cW1GHM57UfVVxCNs5dkJrx1rNRv2ew3k0s0bP+/ffdhDS/3p6k66fcQR4q7F/h0f0vbJ/I9pUvKz3uehK7Iy8w71HsPJKm1w3wne6AW8oxWLod/r9fvH7HUT83kA2m5Vvf/vb8qlPfQq+Dvv8889LXV2dhMNhueeee+QLX/iC1NXpufN2uSYNJUIIIYQQQgghhBByfWltbZWKiorLfx577LE3zfMv//IvEolE5OMf//jl3x544AH5n//zf8pzzz0nf/M3fyMHDhyQd73rXZLJ6Af1b5dF+4YSIYQQQgghhBBCyM3A4OCglJdfeePwzd5OEhH5u7/7O3nggQekqenK26wf+tCHLv//unXrZNu2bdLe3i4/+MEP5IMf/OB1rTMfKBFCCCE3AQv1+dul/OlbQgghhBCRhfObLpUlIlJeXg4PlN6M/v5+efbZZ+Wf//mff6FdY2OjtLe3S0+PDh1/uyzaB0rpglukcLF6vqiOJZ58DeP/KtdFlE2iJ4w2K7SNGe9u1WJ8pntYPxXMVWPMdHvTlLLxtqBNPIfX+e65TSpP+CgOh+s2B32kabQp9ul4fY8RguoawZhZyyF+t6wBdYCSc7rd5m/t5aiXcmK5g/bNGOofFEMOhccx8tJbpfVxrPOoBbFsNWrSnLqAejkiImW1GJ9v7dfaN4mNqB1UcIgCnUhiH89FMbbZG9LaAbk4DkI0ozUIyitQ2yaWx74qCevxn0vjWEaX63jjfX2odSRuh53QWFKecbxu3Wodtz4Zx/7Ll+rrbujEWPsTwUZlM3oOY9eLPrxOoEa3Oz+E4+9u1jY9fVjWf3rfDyH993+/U+WR23H8rTEdX56KGnHfdQ4x3HM4vukGXP/Zoh7/u+txQ9/94hZlMxXG8fVNG1oRLVo7zNS7KEa0jspMLY6l5XBa2l5cq55ZvG6uCtsoIjIVwbVSWxlXNjEf1sfUSxLRfV67E+fj7LDWP/jn47fgD0FdP8vQk4hPYD/4HfaehLHHFpr1dc19WWx9ZiWCV+ZWJqP/npDrQS7vFpf74lr1z+h1nd4fhnRgi9ZYs0/hWeReo3UCU+Nok27EdREY1HtpugbrU9umNQu9hiZNIot+xw9PblR5ag4amk93az/DN4V7p++89nFMDb2SIdzzrILuT5ehRycJfd1sEvuiLYzt7luj/ThrCPf+XNjhHI/gPlKs0WdT4Axep3k97qUDZ7RYq7sB98HKPXosp7Zh2tT3ExGZnMP9tRjB63jDqBMiIiJx3EvTGX1dXyXWL5PD88JVrcM58insh9nV+kyeOt+OPziJghhbd2AEr1O6MaKyzETxzMuX6bFc1j0C6Z7SemWTP4U+dsGP13HVaX/A04/zMdemz6+RHtRMeviDP4b0P/y/96o82fsMvaERfTuZm8WyC/V6XbrmsJNThiufK+rr3t10DtL7nluvbFKVOPcCxm1aok3XxW3UxZ7Ra3msEcfSdvCdTCkzv+EGpat1nqyhFVderf2ivN/QNmvW/krB6PPiQ7jXFPr1fdozBw3fs0T3TTGAvxVGjTVX4+CLGvdtiXbd7sCksQ4dtrlMyZV2Z3QxRES++c1vSl1dnXzgAx/4hXbT09MyODgojY363uztQg0lQggh5GbAXsA/hBBCCCFLmYX0m96C71QsFuWb3/ymfOxjHxOP58oD2EQiIX/8x38sL730kvT19cnzzz8vDz74oNTU1Miv/MqvXHtBb8KifUOJEEIIIYQQQgghhCDPPvusDAwMyO/8zu/A7263W44dOybf+ta3JBKJSGNjo9x3333y9NNPSyik34p9u/CBEiGEEHIzsFBvD/ENJUIIIYQsdRbyreu3UM7OnTvFtnXGYDAoP/rRj65Dpa4OhrwRQgghhBBCCCGEkGti0b6hlMr6pGBdFOIKbZhRfz81HIZ0ZlyrobsNwbKGoBYAnMlWQLqyBtXTYl4UYBYRcY+j6Nmm8kFl86+Ht0LaMrQSa7oiui5dYUiHXgkqm1g3CqO1rB9VNj0XDLEtQ5w2VK4FjauCKMyZOadfhzPFk4fLsO+8CS00W70WlfCyBT3lkqNhSOcdxB3tNhRZ7I+hsFx1oxbGnhnE6wb1UEoxhfWZyFQom/q6CKSTbrxQf6RK5XEZQpJ2TrcpNWnM2SoUOcwOokifiBZdtMJafNLVj/XLVTgILlfjhGyvwXHqP9YkJg1rUQh9eFJ36OlpFMsvpPV4b11/AdInf4Yi4nXtWgB2oNpQORzWa8NrCB3/P6ffA2lrpR6D25t7Ib0vtkLZ+ELYx6bAqogWULeMpeDUnxcaUVja8jn804TxU6YG13JztZ73HkN1f3xCi3t6AjjXQkEt7pg8HYZ0rhKv6y3TArC2oeU45SAAWTQEy60pLRruqcB5PvEKtqFqVotGxtqx0/NevR+VhLCdcwlcY40OAvt9AZxrnpBut3sK14KT6Go+d2Ut5PM35hUefuXtnU8y45e8XNwvA1sdxLQHjY9TjOj1V2zDOd5ZpsX1BwZw7XjrcG2lvXqf9I7iPr4t3K9sfvzyZki7jOVW0q3bNLsC21S1VwsPz642BMG36A9PjJxBceJCKV7H73DeVgZx74+f0v1ZMLpiqBz9DF9c71WBTRFIZ/L6LLWMMcgV9XWSXdiGwQjuycFW3Z/pXvT/8gG9oN2GZnA8q33G8gbDn/ZgR4xMh1Uezxy2wXYQ5XaNG8LINXgeuPu0b5JvwDOvUJ1XNsHzOD+zDkLo2VrjDG7A+5OZgziHRERqNqFNZEz7jOenMJ81p0XDu7cMQHrw2VZI+5dpIefJWpw3/gG9Lt3GtP7KUfSdvOt1Xba2n4f04WiXsrEqcPHaCT2HlYC6MYWnHPrz2SbsP9+bf1Fd0sZ3PKrr9J7mduE8So1q/8W8nwoGtUq0dRzXZabKmEchPffMjyWlLuh72mITXseacGh4GK+d2YttqJ3SZUeMj/sUfXofcRs+mcSw7LoK3Z+TkzjXihW6bM84zolshS67+IaPGtlZhw87zTM34itvSxG+oUQIIYQQQgghhBBCrgk+UCKEEEIIIYQQQggh18SiDXkjhBBCyHWEotyEEEIIIVfHIhflXiws2gdKyWiJ5HwX4zorGrSGUqgX4yxNbSERkUIe434TeR1vWlaP8eO/3fgSpL+y/336uhUYQ/vMvm3KZtUm1FU6NdYA6emo1sdxG7HEcVvXt6oBdaDO9jcoG7eh8VFMYnzsbzS+qvL891fvwzxVWoPAnOiz0xgzv3YzxneLiJyLYOByJuoQ89uMcbWeEW1TNELi7XNoM9Ws67t8OepL9eYalU1pFeof5M6VKZuJtBHv7jW1ZHRcsKsObbKTWvOnUGbE/Ru6NpXLtebX5DhqL1hZ/ZJh1VpcLw7i/5LIYP+NJ3EscxW6P9eGRiA95NKx7bmIMVAuXbjLmEjpTpyvQ2dQh0lExN2Aa8PbklI26SnsY9csbm9tK8dUnhd7uiFtleqxzBqx4u4SbVM8g/Mm02bEm9c56A1lcH8KOOhoWEY7b69Dzaefnlyr8kgpluUK6TEozmCb4g5SAS5jatluvI7vhF6nDz6A++d3UtuVTXAY2z3XoudaIYax95YhSzKrtz3xxLD/AiMOmiNp3HftTlyDkYxep75ZvG7G61U24se+cc/psczF31Cf7BL2GsiiphDxS/5138nbqLXRwmdxzs+udtAsNDT/Ejm91l1NeO3fa9sL6f/6/HtVnlwYy/7pc5uVTcutuE/3DeE5k53Va9SqxT0vWtRrNNCMvt7IOX1+mb6dO4571YfXv6Ly/M8X78Vr1Oi1beqjFCdxQ+vYrrUw+6cNvyOitW/sDizLP6jbnQ+iTckpwy9u02PbtBr1pSZyuq+sWhz/4GmtW5RMoV/hMqpnhRz2/gbsLNe4bnfOONPsAF7Hu1JrCeVG8Yx2aekb8WxEn8tt6308lcFGTMbxugUHzcr1Feg7/cyjD1xr2ugcLVukNH7M+x7fCa3NZDXh2sh3aF8kb2jx+Kaw8Op1qLEpInLoBGomFUv1PZgrgm2yS/V4Bww/ImGcyflGncf0e/1R3eepdvQZb2vqg/TLh1aqPPmQ0Z9hBy2hSfQr0tXKRAJGtqLhilQc1r7Ju38V95Z/Tt6qbELGLVa8Q5ftiuK1c2VYmWSzLtsXwXTpgG63J43jFEXXWSJpvS/7pzGd8umy8yVYlke79lLwXhlvl4MeLVkcLNoHSoQQQgi5flCUmxBCCCHk6qAo99XBR32EEEIIIYQQQggh5JrgG0qEEELIzQA1lAghhBBCrg5qKF0VfEOJEEIIIYQQQgghhFwTi/YNJXfUJZ7XhbjG/OXq7xvuQZG4+EyFsjGf9A3OaCE8jwcF3/5/30cR7kKnFpozBeHypfqRYtwQALcMobTAlBY9m6vD64TPKxOJFA1R5gotEFxehkLTqQGsy5N736XyGN0gtV1aCH14Mox5fJjp7IwWUy4LoHBjRrQApOXBPva0arXEwgwKPt73nkOQfnm6U+UZeakJ0raDWGamH0V6iy26bPcYikJ2LkPR0MGYnlfhII7BeFALS7qN/jNFkCv9eA0RkbIWFBqcTGkR8ekLWJ/S1riyyRvtdkWwbxq3G2p6IvLiDzZiHq1xLnbRmNcOO8zhg8sxTxj7wXbIU1WKSn2TY3q9e5PYgZUrcQ4PH9EVDq+MQjoS0WL5liECWFaSUTZzHpzXXj+uy0JOK2x6S3CurWifVDbnXuiA9D7vOkgH9PYkc36sr69JqxzOxbG+hbien8UmbGfFYbRJbtX98M+DmyBt5fQ+Z46v26/3sFWt45Du3deG1y3qfwvp3oKKlacn65VNKIRireWGWu7ohF7LZQlcG3ffeULZPNu7GtKFlIOi6hsFSb0OHz1YCPiG0jse36yI33tx3c349flQtRPPg+JUSNmYTEzo/dYy5vC3/9dOSOdWOHyQIYP7Qa5M2ySyxl4awbUUnHAQ4G3A/aDqtBYenhXsi2KF3jyDIdzTXL0onv2d3feqPOZSLu+OKpuZMcOH9WOmvkn8eImIiD+I50PWdhDlNj6UkO3Qe7I1hfm2P3gM0i9Nat8p/hzWx3b6CMIF9MlSbQ6Cy6M4djWr8IwbndW+fagU2xAr1ULjtg/HzjKOg+qgPvNChkjzdFKf9emzRn069XW857HdgRljPt6tP6Zy+B/XQNrV4nAuGt1X9Oh53rOvA69TaYiTO/hOZWXog6eG9Z7gNT5o4VuHbYi+quenby32TWZGi7KbwufeOu1fFz24xixjbZgfCBARcRm+U8O9WjR8/Cfo/x85hiLcQQffKWGoaRda9UcNisYHQ0wRbBGRuVZsQ80B/Pvp23Xh/3wBP1Dg0luYEve2/XrNtXXgGpt+DhevVdBzr/424wNGY1qEP1SO9yNhN5YdGdFnRGUc5+eW95xRNi/0rIC0O6nHu/AGwfdi1mHg5hu+oXRV8A0lQgghhBBCCCGEEHJNLNo3lAghhBBy/bBe/7MQ5RBCCCGELGUWym+6VNZShW8oEUIIIYQQQgghhJBrYtG+oRSYEfG/Xrtsi44THekzYnodHuuFGlArIDarY6aDpRgjm6jDOGDL56B1kcGYbleFjguu9WPZo1mMSc3rcGMRI2Y6skWXbcbVt4R0vP75XtSKcXVgG4sF/RzRTmOse9HUwhERMfIVixjLWkw6xBK70MadcoiPNXQAgiHdn2lDo+ZHAxiTHvTrgOOiEXpvOzw+3bwZhapeG21VNmYsc964UDqqdaHSEeM3h+40dXbSEZwU50cxBlxExD+LF0q16znirjG0F05onYJCGPt8ztBISDpoyTSfmMW63K4bNRvHePhiVmvJ5Ix5HqhAbYNcic4TO14F6bKkgx7WepznkwPYBq/DGESjJfpHg+rmCKQLtr5Qts7QAUpinL07oHWCxLjO0X4998py2M5UJ16nLKRj/D39qJEw56Bb5o4a671E96c1jW1INRj6AjGt6VHZGIF0JKH717vK0HDJ6/E+dQb7IjyL+8jMJh1Hf2oCJ7HtsB9Nz+KcsMxto0Kvpy07T0F6z+hyZSMpLKvFQQ/r16tfvfz/8bQt/1VfhZC3TcmkLX73xfWRbdfrJHYetS48Dueiqwn1MnLTQWXjM/SGkk24H9gOvpM1Z+hPVmqb+iDuD4ksrtl80EmXDfev8dt1o9yG9l1zWGvdjJ1FvzK/zNi38w56LmlDs87Rd8LfTK1BV8LhnDR8J09SXzfnMbRvHDQ1Mz4cl2cvoN6b1+Fs8hlHhu3S58PyW1Gz7vhQs7IxNXQKRrvtiD5DEjP4m+XQna4yQ2dnFvOMDmv9vJIpbEPOYRu3643z9bCe9xl0RSTRbJyLow6arwd6IJ29V+s5JqJYlpXRc8249RArjB2cc9Bq9B1Gf6A8rscysgXbne9FXTWfwxhkZo2bGAebQHsCr+ugfTjXYNQnYZzbQYd7MCPLuV7tK1dm0WjWGG+Pw32bz9AFy4qen94ItqHg4Dv5pnEcEkb1XBHdDyUtRl/16rKz63Ffdjn4TkPHcW5VTWE7J27TflHvMOrfOukYzU3jnFAaT2F91nT/Mt5fvTi0TNl4ElhWuCuibD7S8PLl/0+ki/INZUEWA4v2gRIhhBBCriMU5SaEEEIIuTooyn1VMOSNEEIIITeMXbt2iWVZ8Keh4cobZ7Zty65du6SpqUmCwaDce++9cuKE/toeIYQQQghZWPhAiRBCCLkJsOyF+3OtrF27VkZHRy//OXbsyufNv/SlL8njjz8uX/3qV+XAgQPS0NAg999/v8Tj8V9wRUIIIYSQt85C+k1vxXdaLPCBEiGEEEJuKB6PRxoaGi7/qa29qDto27Y88cQT8pnPfEY++MEPyrp16+TJJ5+UVColTz311A2uNSGEEELIzc2i1VBquGNUgoGL1RtLhtTfZ30oAGb5tSBYYhjzVbZqAevCiyhQWViDAnCWgwCvy9CIK0a1eNpxLwqjBTtQcK3ocN1baoYg/eK5bmXjM8QIB45oMbqODaOQ/lDNQUh/6cz9Kk8gjOK+YyNVysYTN8To6rEupriaiEjaEAQODygTiazCvijxaoHtWSPt8WLZZf6MmIxVohihvy6lbF47giJxtsOKKJTiI+OBsyj+a/n1I+W2NhTl7R+rVjamoHrvsCFoHdDXXX/vOUgfm9bijkVDHTHT4TCHZ1DdsWQE/z58z7TKM/IhXCveI1rsudBkrB+vXpemAKldYRg4PKLP1OF1C3EHcVQj+NhbbQhWx7TAphXHAb9vgw6j+enxtZB2ay1HscyxKkWRy3CpFs+OnsOGW3V63ge2o3BscgzzuMp1XxWMYXESBPeOYruLhgiviEhzOc7PoiFGPzQTVnmmRvC3yu6IskmeRJt8SLehGMI6z6zDsq2UFqN0GyLcOQfBXzGymR8JcJfoMdj/Cn4AIOtw3c3dfZA+dKFN2fz3zB2X/z+TyYnIv+v6zTeLWEOpp6dHmpqaxO/3y/bt2+XRRx+Vrq4u6e3tlbGxMdm5c+dlW7/fL/fcc4/s27dPPvGJT1zHii99St4zLYHXv2iSTJSpv8/5cO8vBvQe7R3EsyjQnlQ2pT9BAdtpUyjfYQ64DHFqz6yDIL8Pz1fPcjy3nYR9N9YNQ/rQ6S5l4zEE92cO1Cqb2q1TkP4P9S9D+svH3qfyWFXoe8QHtCizP47tThsfOPDGHAS3DUHgigt6H59Zh/3n5DuZnpHLOJPLAtp3ilXj2NoN+tA7+2o7pL1eZSI5Y/pNn0DRc3Vuikj1MvT2JofCyqaxEs/FyUEcy0JQX7f9gT5In5jQvpMplp5YpsfFFFwuHzR8nvu12Pvo/xfnY+iAnveW8U0O26fXpfLBw0b9HHynlNHMfNDhPQIL51ah1phHDuLpZl1u3XZa2bx8cCWk3RkHX9QQtTb97dIyPT8Lp3FipRv0mZy9G/cN1xDmcVXq/i0YvrztIAjuGzI+jNOq11x1Bc6BgvHuxsSk3iNSg8b9yuqEsvEexQ9L2eW6P/Pl2K7JLbgw3fqy4jVEuDNVDpu3jb+5U1h2rlTvT0d/ZtzDVuvrrliL971nTrcom29k7r5St0xORP5V128+oYbSVbFoHygRQgghZOkSi6Fj7ff7xe/XD6K3b98u3/rWt2TFihUyPj4un//852XHjh1y4sQJGRsbExGR+nr8clN9fb309/fPX+UJIYQQQsibwgdKhBBCyM3CAv4LWGsr/rP7Zz/7Wdm1a5eye+CBBy7///r16+X222+XZcuWyZNPPim33XabiIhYxvfDbdtWvxFCCCGEXFeW8JtDCwUfKBFCCCHkujM4OCjl5Vde73d6O8mJ0tJSWb9+vfT09MhDDz0kIiJjY2PS2HglfmNiYkK9tUQIIYQQQhaWRftAaSgWFn/mYuxndlxrn7gqMW71t5ftUzbfevUeSGdeCyubTBM+djRj+p00dVx1GNNbSOjg8eWVqEFzsh+1jgIVOi74xd7lkC6v0roFVUGMC56Y07G40R+ik/1vD66HdEfNjMozchADrf3dWm8olzbGwdCB8rToPLahC5TYqttdW4b5RibDyuau5Wch/cq+1ZCe6tIx6aUNGCzcEooomzNJjA0P9OuxDG3B/poYRR0bn8NYDhr6MlVVOnB5W3kfpM/7cAxqmiMqzys9qPnU3TGqbM4OoAZFc5Me7+mAMS5V2O5Uj9aXKJprYZUe70ofai1k83oB1dbh2hg4j/PVCmu9BlPrxtei10ZmBOPL67qwnNF6PbaWB+PNf3pqjbJxVWB9So5oPYHMLaiRlJ3EtRKZNYWiRMyXK97dfkbZPD+EMejbV6CG1oGjWmfNrsBYdvdAQNn4VhvaTGndpryNa+o3al6F9N+M7xQTs02RhN67xdBMal42qUzcFo5L3xDOR0vLH4jtMbQXKrUuVHIG62PqN9kpPUcaV6OuytiQ1pe7EEeNNF+5nsNv1M1z0tB7J1JeXg4PlK6WTCYjp06dkrvuuks6OzuloaFBdu/eLZs3bxYRkWw2K3v27JEvfvGL17vKS57R2XLxv66T5BrRD/CK1agL8tE12nf6zt67IO3fX6JsYu04h33GMaPOCxHJNRh6I3Ft1FGN+3b/eUOz0OF8OHSuE9LeGr32K4K4R6eTem8q/iPqbn73w5sh3VhvqjmKxF/CtZ9a7bD254xxMP61O9+ufQjPAOaZ2qH/ibwshH7FzITWG71l1XlIn3wOfYjZFVpTx9OM9WmpiCibviTuyeXnHbR5tuNXGJNDWD+7SuvPTEzgWVlSo/2MWyv6IP2vftRmKmnV/tbxEx2QburW587wBWxTVYvWXY0Gcd5MV+Mc9p2qVHk8Xhy75Do9RwJ+PLdzee3TVjVEsOwzOPeKVVrHxpPAdVro0HqO3kH0EUpXYjmRZr1ObTe2af+RlcqmYOgNVryqz73ZHYYW6ziewblZrQNnGVPtjuU9ymZfH87zDWv7IH3qNdwzREQKFehYlPRpfyC7AedjcU7b5A29yY/W74f0/z2itdgM6VNJOWh+ekNoFF6pfXvTB5vqw/nopAts7tWuar0f2ZO4H+VM7cukniP+jbh+sv3aF7gQMeZwWO8JRdv5/8niYtE+UCKEEELI9WOhPkt7rWX88R//sTz44IPS1tYmExMT8vnPf15isZh87GMfE8uy5JFHHpFHH31Uuru7pbu7Wx599FEpKSmRj3zkI/PTAEIIIYTc9CyU33SprKUKHygRQggh5IYxNDQkH/7wh2Vqakpqa2vltttuk/3790t7+8UvSX3605+Wubk5efjhh2V2dla2b98uP/7xjyUU0m9kEEIIIYSQhYMPlAghhJCbgYX6/O01lvGd73znF/69ZVmya9cuR0FvQgghhJB5YaH8pktlLVEW7wOl80ER70VdD6+Tnk8Wq/5kzx3K5j0bj0H6hT0blE15J8Z4Rg3Nj2Jex4Wb+h6+SR3rfNKFejiBCbRpbdWx+MMnmiFdsV3HOvf3od6M3VxQNin8sI5ETrdB2qXDtyWwyoh1nyxVNi5Dt2Rt4wikTx/FckREimW4OlwO8bu1AdTDiY5rjZIDpXjtXDle19ejdWLyLvztbLvWibGN8S3fMq1sZpOoH7G5awDSxyZxrEVEAj0Yb5xaq8fpH/u24A9GTLrTB4y8s1jfvgrdV1YRM4701ygblxGmbJfg4HobtQbF8krUHDhxVo93ZRuu1ZiDhk4uaOiUGfoCbgfdj4qVuF6SWT2WYszP6CvY7vpb9djGDmH8dqZLL47CHO418Q06xttlzCO7FLUM7ujQMf4/O4+aA8+e0fpNvinsq1gN9qcroydJIYd18Wi5KYnN4PpubND70Yiho/X1l96PZa/UcfbFHNbHPaHHyZ1Gm2FDb0xExDOE+byG7kPO0roFHkPbLhnVc89v9Ge+FOdeSZ2e97EM7iPVTVpXI3IujNet0uu9+IZ1mXEYN0KuB8EzPvF7Lq4PJz0fSeMa+PvjO5TJXbecgvShH61SNu7luLHMxXHftnIOmjrG+/zBMb0O+lzo45QaMoGVXXr9xQ7jXuW7W/tOM+dQS6Sojy+Jd+K+M3MctS/d+rJSWI8/WmMOwvPGTcLy1nFIDx3EckREcobvZDv4TtUlOAaFY/qNvddK0CG0wnid0lNOQqH4W1+X1lQ0x9e6La5sYnHcO1euGoL0mVHUxxIRqTiJ101s1nv9v5zbhNU1XHDLIW7EP4PtHpoOKxuXsW3HLmjtQ3fW+NqkcYbkW/S52FWDvkffCe0z+rtwHpnrSUQkX/KLfafgkB5L91ocl7mM7k/Td7JfwHaX36nHtrgf51q8WwsbulJY3+ktDuKHeaM/jXm/tRt1I0VEXjmNerMvHdP6TcFJvG60Hv0Bp7WcKzV04WJ6Hs1N4XUqmx10tk6jX/7fn38A0vZah34wHH7/uL6v9KSwPpOTen6WDBhzZBn6q3kH3TrL0LazZ/XcK5nAdK4c6+tq0r5TIo3XCTpom+VPGXtWje6b3Bt8p7zDkUYWB4v3gRIhhBBCrhuLVUOJEEIIIWSxQQ2lq8Phn5AIIYQQQgghhBBCCPn58A0lQggh5GZgkWooEUIIIYQsOqihdFXwDSVCCCGEEEIIIYQQck0s3jeUls2J+C8K2xYK+rlXMYu/uZJawGx3z1pIN2+ZVDYjfSjc648Ywmgz+nFhy3tRJfLC8mplU3YYhZxzG1GsuC+i8wQ2oPDd6Mk6ZeNqRMG/UIlWlkudRaG2rCEQW9mmBfYKhpCzOAhABlpRAPLEGAoLNqzUosfTJ7F/PVVa0PjMyRZI16xxuE4cRYTN6pVvmlF5JsYMwbqcg8hdKdbnriotnvz9FIq5n9rfCemytVqUL7ceRZnldJmyMcUHXbWoNjc5gCKiIiLudmO8HcbJZYgeFx36XGZQmDEwin2TTWtB48GXUcXUU6/Lfm/NcUg/OXS3spkcQoFP/zKcV9lSvS1Nzxr959brMtiC18k14nVCXi2WOVVhCJ/mdZs8Cdxr/JVafDCZMARpDSHvF4+sVnnctVgfe0YLIboM4VtzrZRO6X7IV2AbAlsjyiY1iUKIY/16PwoNG/XdgdeZi+MeJyJi+QxBxQY993JGOz0eLWBdMIRNC0mcr645fSa4RrE+Hj2FxbcS9z47j/M+V9B7RCiAa24modtdqMB2N9ZGlI3ffWVPSGfy6u8JuR6kVmal4Lu4L9gOvpMppuxJ6D1v7ykU4a7c7iCEbQgWlxnHdnBKi6uWPYRGA259xoVfQWHs6DY8F5NTYZXHewvuyZkj+mMV+RZcc4FSre7qOolrO11tfPyjw+ELB8YZbDv8C3PR+KjAuSEUHq9cG1F5rMNhSOdq9Z4xchhFrYMbY8pmzvg4gdtl+B23aH8wMYLng5Vz+IhAGdbn7lrtO/0guR7SQ8/j+eXfrD+4k9yG50HwuD4Xs2VYn2w91iXVp8XJC13GWWT6vCLinjOuW6PPJvNDGaXGOZnO6PpGX8Dx9jbpsj9Qjx8R+k6f/tDQ3EAYf+jGc3IupM8vmTbOKyetfMOvjDbjdZp82nearCrHHxx0pr0xbGehWvsDhRiud3cK8xw60K3y2HU43u5p7TNmjI+GmGslNKbHNluBnZO5Xc9Pawz7M+4g3F7Rh9dO3Wf47VH9EaFCADuwWK47tDCFfpDldfgoU7vxcZ8k9o1nTs89/xBeN1+ibXLrsS/yOaPPHe6vSoK4xybiut1WJda3skHvYV73lXamMw73M2RRsHgfKBFCCCHkukFRbkIIIYSQq4Oi3FcHQ94IIYQQQgghhBBCyDXBN5QIIYSQmwGKchNCCCGEXB0U5b4qFu0DpUzCL3b29bjOq3gHzFWjY3xdIxjLnDhVo2ysTRiPaUcxnjexVV83kcfrpqe1WIev1IjFNm0c4o3jQRwOf5uO33UZfZHO6yFsXD8O6YFB1KyZiTpon5hx9RW63e6XUceobgr7bmKT1mEJLsP4/A82vaZsvhW9E68zpPUPgmPYnxXbpiAdy+jYXN8sxvRe0pV4I7U1EUj/0/ktykYSGF8s7RgXnJvTMfOm5ou0OMT9GjpgpX60SZXpFwgLhv5MS6fWBRu1Mba9qlTrbE1nDI2BaoxJd9LeSG7FeO18VsdM//2BeyDtcpjnuSZsZ4kxp22z70TEG8H6hFZFlE1b6Sykj02gxleJR2tmmJt3e73W7+pPov5BJqvXnG8c65wLY8PbV+KaFBHpHTf2ozKtkZHN4HWrOiOQjmW0BklFHcagz46XK5vAFPZntkKvjdgarE/oJdQKcGuJN9mx9RSk9493KJvaDuzjyGt6X5YVqIlSUYb7yIylNcnyhh6SN6p1ACxjrpl6InMO2gYVQaxLIaXnZ0mFUV+f1tkKuq7051yBGkpknoj5xPZdve+Ur9Nnk3/Q0Cw7ojVp8rcYm/s07imTt+vN3zJ8J5l00scx8kyiT+Z4phi6e1ang/9irPWcg+ZH1RbUYsz04v6ajDgIs5nbTKVe2zV7sD/9Y7ifTd4WVnnsVXhu/3rbQWXzndkdkC44aAeVGxo/1h14PiTSegz8U4b2jV/vpSX12IZ/Pb1J2XhiOCcSXcbgJXFsRURccRzLZJuewy5jeD1B7PN8wUEL0dDZCS+LKJtpGydfSameR3MZ9IOzdYaOjUPZU+ZayGibf9iLfrBby+NIqhl/9Bhz2h3Xc9o3i2W51iWUTWs5+k5nRlBvqMTt4DsZTapvjCiT6Tj68gUHnzEwavgihqZO9Vr09UVERkdxXebLHTrL0LEMrsD5Omf6wCLibTL0PEf0vVLJBKbTlXosZzbib1V70K+wG3U/bNpxFtKvDHcom9DyCKTzhk8mIpJYi/t5MIT7yJyl2+Qy7kX8Eb3mzClrGRtxcVbvI25j/Zh6TiIirkpDF9hBryv4Bt99zqbvtFhZtA+UCCGEEHId4RtKhBBCCCFXB99QuiqooUQIIYQQQgghhBBCrgm+oUQIIYTcBPArb4QQQgghVwe/8nZ18A0lQgghhBBCCCGEEHJNLNo3lCoqE+L3XxQyXFahRdlOTaNQbiquxVQtQ2g40aDVHE2Ra1Oc9t0tPSrPs+dX4zXyWpQtU48icV5DINpy0GiuaEWxxOl+LbjbugwV4UaP1yuboSYcVncIBfVKDmnxtEQbposVWvgsvsEQewujyJ37lBblThjj8u3ztymbjR0DkD5yoU3ZFNeiUNt4FIWGXeNaKLd8RQTrciqsbMYihmCxHkqRUkOwOo1jGRjQZRc9eCF3Wj+7Dd+J87rMi+J5A7Ye/4wb5/DQVFjZ3N7aC+nJjBYwnsmhmJ8dwPpabr1WNtSjuuexyWZlk8tjO11zut2V5Sh8uDo8Bul9kytUHsvQXMw5iIYfMuaNqwTH7diZdpUnaAhWjr/SoGxcy3Hu5ef0eEsVVtCVwfqNxLUwtmWIj9pap1Fchi7/dNwQYWzSYpmRaVPVVv+TR8FoQjHooHRrkOjE69y16rSyeeEk7o1OQuMxN+4JBa3LKiuqcZ+7sBfHrmIT7pUiIslZFNksG9VCnVE/jkOu2eg/h/U/cxr3teXrR5TN+fMoAH++oI/W4viVfTeTy4nIy7qw+YYaSu94fNVz4vdfXHfLwtp3OjOFavqFqF6AaUNoON2sB9QUuE9X4Z53R8d5lWffGdzb3Tm94FJNeF1TINrl4Du5O1BoOH1eC+5WrkbB7fhr+uMfk62Gn2b4QTX79bkTXY55clonV6a2YTpcbfgHR3SetDEu/+v0dmWzYjnuRefPNCmbxCbc4wrG+RAY0wePtRb703u0VNmoc8aBfAjPFZfhB5Wf1/1ZNKajR3/fQKx3RyEd8qHvNGSHdV3cuCdPTegzeUtXH6Qn0tpmLIt9kTd8J3HrtbK6CX2cU2Paz8gZ9xGelF4bwTC2c3UVXvfIeJfK4yoYYvQOvlPP6RZI26U4br0n9LwqmTE+aLFXr6f8KtxHrJQ+FzPVxgeBDPXniahey56oMWcd+tyTxOvMxXG+Flq0f2BNoGC1y8EfKPgMwfrSNz/sIsuxz7dt0PeVrx7qhnQxpH2yuOE7+cy5JyLL6nDPn/gJ+ia+W/SCsqaw3WX92iYfQJtMmzG2Dq+nZI/h+mnaqj8iNH4aP8oykNfzyDtyxWHN5BwE4ucbaihdFXxDiRBCCCGEEEIIIYRcE3ygRAghhBBCCCGEEEKuiUUb8kYIIYSQ64dl22LZ8/9O9UKUQQghhBAynyyU33SprKXKon2gFB8ql6z3YtzkRHdG/X0qEnzTa/hDmC8d19pBUjBiUAMYt/pszxqVxR3EIH7/Bd2NHXdhbPupvKE3U6K1RTIvomaO1ahMpGDjS2W5Ch1n6x3BdmZrsSxTC0lEpKocxVqiPWFdeDPGb88eR22RbI2OSQ72o1iLJ6UXy5EMat9U1sWVTbwXhQk8GVOjSFd3dtTQCWrQfd6w24gD/xU91+JDGMNtRi2na0RRCGFZvkk9R2ZSOIeHohg7bGUdXiA09Jxcs/q6+/LL0ManxyUwga3I5HGcrGrdD6f24nVLNmgdm4wL52Mmp7XNZiKoQfDiJMaOe9I6LjxbbVx3Wms6mO9bFuewbyyHePh0DY6/ryGlbOyMcZ2MHpftqzEm/vA+1ArJhvU4uYwurl+l9U5Gpg1BDkOD4JJWyhvJxHAsK5r0OCUMTSdT401Ea4H4qzGu/sXDhl6SiFg1uLfYDtJMRRsH4s7bjyub/T9ZB+lN952B9MGXVqo8eUP3ZbZbt6lg6BKYemjuMr035suwvsOmjpWIiLHendpNyEJQ7A9K0XtRiGZitda5KU4bfpDDMeMO4TooxrXOkqlrVzBcsn2n9Bq1g7hOys7oTbnyftSFGcih3kyhVC+u6p+Y+h7KRIpFLCsb1r5IcBD317Shuzm1TecpDaPekPu07vNMK/Zn9jXcQzL1+rqhC1hfb1L3VU8GtW38jQ7nVw+elX7j3PHM6bKTQ5in2KJtmr+HOkbTH9VnfaG/RP32RlJaSkhy5djnwXE9QbNJLGtmCPvT7SSzUobX9U3r8+FQHjWIbJ+ea+U4PWUub2ho1eozZOhZ1Cjyb9MaNTnDdyrmHLTNZnCRHR7D+noddJdMH8ee0PdOtuGeKO1LB99prg5/LDZpn1EyxvnqoIe1fkMfpHt+2gHpRJUep4Dh75eujyqb6Un0290JbJM7oH0ny9At87Q5rKeYsZ6mHPzVsPFDLU7IQ690i0nevH9yeK5gPmvYdO8ZZXPy39D3XPZAH6TPPt+h8qQa8cIz6/S6zZWjjTuF/Vko1/2ZDeHEUpq1IlIw1rtF32nJsmgfKBFCCCHkOkJRbkIIIYSQq4Oi3FcFNZQIIYQQQgghhBBCyDXBN5QIIYSQmwDLvvhnIcohhBBCCFnKLJTfdKmspcqifaDkqs2Iy38xmHIy6aCX4sVAy5I+rzLJxo040HIdnLmiDQOi+6OoY1RbmlR5hkZQ6yZ067SyOdWDMdPlF/Dvo+v0y2HxDmMmBbX2zdhZQ7BHh1lLoRljmWtewGHe/JHTKs+e0eWQtn16Vm+qH4b0azMYv93SNKPyDBdRZ+meVaeUzcEpFDy4t6ZH2Xx3cgukG1/FOPXx27Q+1rLOUUj3ntWiVGN3Y/zz1oohZXMsi/2XjWJZnrgeS8uDc23brTrW+cB4O+Yx9LxqWmZVnqlBnJ++mEP8to0x53XdEWUzUY4Tx12Lc8bl0mslZyzD9JjWijCD7W2PQ0B0AfvLY+jW5EWvZf8ktqlx85iymU3jes8dxnjtVIteT+4wlp3L6i3R1F4KN+l4/UMvYdy6GW/uGdHzs9iKQgDD45XKxmNoG+WNPcxJoyJsjPfsrB6n27bgGjv5jI7p71iHfdx7AvU6ypfpfij1Yn8OT4eVTS6HbXp+cIWyca3CvjkVrYd0tsJJYACTHgdJh0KtMQcMnTJrVI9Txxrsh/GXHcTtOrDdLpeu30du3XP5/xPpovztP+rLEPJ2yTfkxeW7uGnNxLXvZJ7toXP6DMlUGjqMDnpDzV2TkB6eQR2bqpDWH5kZCGNd7tJ6iYOnUFin6jSu2amt+ryNdGMbCqV6r4+fMDQq/bpNc62oA9K4G7VPln+iX+V5cQi1Bd0OPtnaJtTUPG34PFWtEZVnthCG9C0bziub18ZbIf2uhrPK5t/HN0G65t9w3CbeXafyNK4wbE7UKpuR92F/rgkPKpuTGRxL1wye7d6Ennu2B8dl1V263YeGsf9chnxLsA11rURE5vrwHPTPOp0hWJ/S1Xp+JsNhSOfrcY64HOI+suV43dyw1jEye8LW0kFK89U2dGtyDrd0wXFMl23Xfnp0DuvjfwXT8Q5dlaKpN5h1qLDRKF+rvp8yNX2ylZgpOKDblO7EsjMjWpsnMI0DYfoMvgsOmrqrsX6ZGT1OG27rhfTwP2rBtsAW7OOpw8b6WaH7odqHbZqeCCmbotHH+84vVzbWepwTp2dxfee0mykuY7v0pPXaMPXkXIaWaGBI++2VG1EXNPmzamUT6zbuERx8p1+/e++Va6SL8v/+QJmQRcCifaBECCGEkOsINZQIIYQQQq4OaihdFdRQIoQQQgghhBBCCCHXBB8oEUIIIYQQQgghhJBrgg+UCCGEkJuAS+KSC/GHEEIIIWQps5B+07X4Trt27RLLsuBPQ8MV3TrbtmXXrl3S1NQkwWBQ7r33Xjlx4sQ89NBFFq2GUlvFrAQCF6t3bqhe/b3lQxWxTKUehRLUQZREUD8/67mAAqv3rEHR6HghoPKMplAYe3yqQtm4DZGzZe9HVe4joyjaLSLimsLhqHAQ/02UoJBcPqEVIAspvM6MIQB+cMZBRO4gis91v++Csun5IYpwl2xHYbmwT4tw+tpRIO7Qv65RNolOTO/zdSmbwDiK0Y3dicJ9D61/VeX5l/ObIO2tn9P1MwTgTk43KJsVVShQ2e9BUfa5Mi1GVxFEReBj/66Fhz3bsL/yAZw0k+N6XtW0RCBdtVz3+WgCBQrHBquUTZkhWlkeQBHkibgWBDQ3OiuvBTUr23DOxk+GddmrI5CeMUSjTaF8EZGeHApC91/Qe4ILtTHF7jZ+cKjv1gYUEp3OahHbsST2ReZVPS6yAcdhXdUEpI+d12uu9Biu5WSzvqy5/ZhCiO4OLe4YHcT6uR100Q8cRRHu6ru1APy5fkN8ugwnwFzO4UMIeeNIcSg7n8R8GzsHlM2JSSw7fTSMBnUOFzbIOAgJu724xvKGSaFUz5F0AeubrtbX9RuClOkGfdYciF/Z1+bSeREZUTaEvF0aqqIS8F9chyN9NervbR+unXStnquhAVwnEQffaeQsCs3euhGF/uM57TvFUqgIG5vQHwzwGPt07a/hxzUmh7Qovi+O+467TZ+LqRL0leyE3r9cSfQzJrfiRw+ikyiCLSJSuQ/zNDyk97OxfzL8vXvQPyj34/krIuJdhh97Off0MmVT7MZx2efXvpPpB4+9D8ftvVsPqTzPnN4Aaasxq2xcxsFyekqLe3fWYhuGvGFIZyr0LUigBMWJ+7/bocu+Hf3KQgnWJTmi51VJB/o84dXaHxyPY75Yr4Nv34n5qgxfbyaqP5RhmbrDDr6IrxPrZx/VbbDX43mfNkSjm5ehryoiMprD8c6c1f6gK4v1ia7G9e/k621owY/0TGe072T6kb592ia2FefWshoUcr5wBn0/EZHK13DNxdp0/fJBPKddGUMYfZn+aoerD+vn1dr+cuo1vGEJ7Iwpm9lzxr5r+E7i8PGXaN4QNXd4sGAZ+1z3Cu1D9IzhOvS8ivMxq7tTbGN7T+spIpbxISy7aPSnwzd60gWs71ydHqeyXiw82aLPmn3RK3tfOpMXEb3H3qysXbtWnn322ctpt/vKPPrSl74kjz/+uPyP//E/ZMWKFfL5z39e7r//fjlz5oyEQvoe7+2yaB8oEUIIIeQ6QlFuQgghhJCrYxGLcns8Hngr6fJlbFueeOIJ+cxnPiMf/OAHRUTkySeflPr6ennqqafkE5/4xPWoLcCQN0IIIYQQQgghhJAlQE9PjzQ1NUlnZ6f85m/+ply4cDG6qLe3V8bGxmTnzp2Xbf1+v9xzzz2yb9++eakL31AihBBCbgIWSt+IGkqEEEIIWeospC7kpXJiMQyl9Pv94vejTMb27dvlW9/6lqxYsULGx8fl85//vOzYsUNOnDghY2MXpUPq61EepL6+Xvr7++el7ov2gVLYl5Kg72L1qmvj6u+jPWFI+xLKRPw7UBfEKriVTeY06s30JjH2tX+sWuUJNGIMdaknr2xignGrJ2fwlTRrUmsfla+IQNpJoyQdxwlV0u/QppUYG+yKYJ6ZSYfYyRUYH3v4mI7FX/YejNc9fxqDcXvO6iDabDPGw5fp6oodxEDliZFKZeMK4Wpu70CNmu/3Y8y/iIi/BGOz0zGt6RAcwgrV3DKhbPpjGFAc8GKbLIedZu4Uxt5nu7Tmi/cCxmu7jb7xOOhAmHOi75QW3il6sT4NK6a1zXexfsN3Yix+bY2OC0/MYf8V9fSU6VlsU1lC9006h9tOVyPG/Z8d1VoMja3YhumkjsX3HcP6JX1YwWCd7s9XR1DbyDXmVzYNa3BOeO/Um82FAazzidF2NAjrPWKuAfsh3Kw10yIxbGcxjS+VZqa0XkNZE9bP2q/XpWsHju/kUFjZSCnW+b2dJyH93N5NKku6xhAdcDiEO1qN8d7bqWw8a1Er4pa7seyhtN4jNocwrv6fTm5TNt5zOEfcxglYtjai8oyOYllWuR7LlauHIH30fLuyGXjuiv5KJp9Tf0/I9SDsveI7zdZpjbXiadwPfDG9SDP34V7pNvU9RMR3FM+MCwn0nZz2FFcz+iZeB5GSnI1r9MwE7q3+Me22utbgnpfO6sPJjqHPVX5emUh0HdbHP2togEzoc2duLabjr2m9vPr/D54hsePYpvGTOmQh2YY+Q7WDt14owbGLD5QrG3c56pbUGNpMz5xbr/OU4B5XjGl/tbQP074dEWUzFAlD2u819k4H38lzBOdVpFuZiL8Hz+mi0Te5Dq2PY86J6aPaD3YZ06ZkrT6TS/8e+3NkJ/Z5Wa1ec2LoBha8WksmNY1nedhhXcZyhl5X8wykhwa1ZlpFJ5710URQ2YQOYgcWfehn2I26P48OoC5YYFhP0PBGrJ/n3dp3il/Ae6z+EfRpC5V6j0g0Yz9423Sfz0WMsz5lBORM6DltteK9XfkebZO4D/siOaDnUaEU1+67VqA27/6frFN50rU43k7alzVd2J9jP9GCSK6NeN+z5r3nID2Q0r7TljD6Tj88vFnZlJ0y5oi5xW5y0PMcwvuMYliPZecG1Ew17ytFRKLPXHkokincHL5Tayvq9X32s5+VXbt2wW8PPPDA5f9fv3693H777bJs2TJ58skn5bbbbhMREcvCvca2bfXb9WLRPlAihBBCyHWEGkqEEEIIIVfHDdBQGhwclPLyKw+rzbeTnCgtLZX169dLT0+PPPTQQyIiMjY2Jo2NVz5kMTExod5aul5QQ4kQQgghhBBCCCHkBlJeXg5/ruaBUiaTkVOnTkljY6N0dnZKQ0OD7N69+/LfZ7NZ2bNnj+zYsWNe6sw3lAghhJCbBOobEUIIIYRcHYvRb/rjP/5jefDBB6WtrU0mJibk85//vMRiMfnYxz4mlmXJI488Io8++qh0d3dLd3e3PProo1JSUiIf+chH5qU+fKBECCGEEEIIIYQQssgZGhqSD3/4wzI1NSW1tbVy2223yf79+6W9/aKG56c//WmZm5uThx9+WGZnZ2X79u3y4x//WEIhBx3l68CifaB0dLJZ/P6Lql/5qBZGkxAqluVzOnpvZjAMadtBh6p0JQp+9w+jqF3JoBajnGs0hHGDWmiso2EK0lMvYMxiya1a7C96HgXMCqX6kejmZajOfjivxV+DPhQty3oMMcpqLZ6WTOHrdFUOYp49fY2Q9s5hh2ZbUAxORCR0DJXbMrfMaZuDKBKYrtEDlS/H8e7vR1HLX1p3SOXZvWcrpMtWaXH3XAjHd6hfixqWDGN9ZmoNg1otWGj5cexsv4P4aBjT65ehMF4qr+d930kcg0C3btPmahQI3nt6pbIJtuIc7mwchXRTUM/P9J0ocj+Y1OJ+0+fwt0SHVhZ0D6Ow6VAGRWIDXXruzaZxjuQntcB6rkX9BKTntFDrhqZhSI9VaFHToekwpIM9DmKOTdjOZatQwL7Br/vzhQFUG40MVygbbw2uF28JllM4rQW35yqwna6taWWjpLyLes1ZUbzOS1Mo1J+t1nM6VIVivqkBXb++IVxAK24fVjYzaazhhSTmGRrXc6/XjWu3pWlG2UxW4NxbWYViucfO6v3UVY77WjGjj81YDuejb1qfR3P1V/aEzM2hK0luAKfHG8X3+gcJXLMOLl45nk2unF772V7D4XT459nsetxXUn24Jsv7dNGJFtw7s6X6fKhvxnMmtxuvm75LC/vmjQ+C2A6+kymc3+NwYHj8hhi1B/vP3I9FRLJJbJO/QduM9OD+5TeOOFOAW0Sk5jVMz9yhPwZQtR/rl6zT+06uAvti6jx+ZOS9W46qPC/+CD9yYo61iEjC8J2s3rCyCRkfE0o1GD5jvd4IXUG0KQZ032SM7b9rJZ63qYI+o6eO4BjkVus2barDOfLa0WXKxja+V9PQjCLnjSX6rM+82/CdEmFlI2fQ94gucxAs78dzJprBtKtb+6LxJNp4xnTfxNt/8esXhaT2nVa0oZjyeKW+SZ2cQJ8mfMpBZQW1h6V+HZ7JTQHdny+fx0HwDOqPk1i1xsdzyjAdOKZDiJKVuJ6mb9c+jpnLchDP9kZxbbw4jvXN1ziMba0xH3u1ePpkH67d5nsnlU1xDvOdj6NfND2q/cwfGB8eqWmNKJuZMPbxshq8x+09qcW0TRFuK6Pvp+NZ7NGAbpIk33DPnXE4r25WvvOd7/zCv7csS3bt2qXEvOeLRftAiRBCCCHXEdu++GchyiGEEEIIWcoslN90qawlCkW5CSGEEEIIIYQQQsg1wTeUCCGEkJsAy14YccnFKGBJCCGEEHItLJTfdKmspcqifaBk9fvF8l6M9a1aE1F/Hz2HcaDV66eUzcS5akgXy3U8bGoEY+/dxmD6Nuv4Xb8x4u4f6djh4c4GSBfWYGxz0iGOVUWXOkysQ4MYcNzYrHVC2kowXvuVVAekswUdx+o/g3GsxW1aB6CqIQbpSArbsLJhXOXp68f6Wg6rJbkeNUpsB80sTxRfpmsw4qx/uB/1kkRE8nU43rVeHa9fU4JiBq11/crmpfQqSBfDhpZBRMdil3WgzkNiqlTZlNZg2cdGmiHtGddx67YP+y93Rs+9vc3LMY9L9/kb9VxERHqHUJNqskpr36RG8TffrI5ldhtDt6pd6+OcPI9zwtOEujvpuO7PX1v5KqSfOX6bsqnYhntA5DWMHc9162D3IwNYl64mHcDt78dG5XW4vojRFeence85m0ENNRERXxDno79BazrkjLWa7cMxCG/Q63/uZYyHr71zTNkMH0YtLo/DSZAz4t8zeWPfcHi/NR43NB1qta6aZegxtARmlU3fEVwLiQ6cI/4yfV2vG+s77KCHZvtwDpwc6MD6mgeAiGxv7oP0/hMrlE3/NGobPHj3q8rmBwf0HkXI9SZw3iN+z8U1Zm3UekOm7lpgS0TZ5E+FIZ2r1OvCGkKtDrexvWZu01p45olW9y/aF4msxL1zbiOua8+QPkv1VTRnenFPCbdr3661LALpo0k8H9zmHigi4ePGHn27Phf9TdgX+RSOQXuz9l+nL+CZbDlIh0xvwXHxzOpx8kUwY9lmPDP2/GyjypNtwOuUerV+U2Up7sltTXofP5pCXyRbZYzljD54isvR93SNa71EVz360z2D6G8HR/U42YZv4juu/YwD7Z2QdjuccUlDKibeh/N1qlb7TvYQtiEw7aChY1SneZM+twdOYzvzrYbvHNO+8y+tRzGunx3eomysO9C3L+5HPaf4au079VxAH6KhVfsihQvon2bLHCaxcU8wOIH+y1BGn+NWEOejK6T9gWIeB8/Tg2NgbdX6o+EXjL3x3dPKJnoA6+N18J0yVdimYhbnY9FhwypGcQLY9XrNueOYsTWo19zUK7hvzCzHtWKV6et6PDi+kfNhZWMby3DQ2E9dDv2wpR3vp44e0ppko5NY1vvee0TZ/PSFTfriZNGxaB8oEUIIIeQ6YovjP1TMSzmEEEIIIUuZhfKbLpW1RLkmDaV8Pi9/+Zd/KZ2dnRIMBqWrq0s+97nPSbF45emmbduya9cuaWpqkmAwKPfee6+cOHHiulecEEIIIWSxQ9+JEEIIIe9UrumB0he/+EX527/9W/nqV78qp06dki996Uvy5S9/Wb7yla9ctvnSl74kjz/+uHz1q1+VAwcOSENDg9x///0Sj+vXCwkhhBCyMFjFhftDrkDfiRBCCFl6LKTftJR9p2t6oPTSSy/JL//yL8sHPvAB6ejokF/7tV+TnTt3yquvXtSLsG1bnnjiCfnMZz4jH/zgB2XdunXy5JNPSiqVkqeeempeGkAIIYQQslih70QIIYSQdyrXpKF05513yt/+7d/K2bNnZcWKFXLkyBHZu3evPPHEEyIi0tvbK2NjY7Jz587Lefx+v9xzzz2yb98++cQnPnHVZeXDtrheF1BtK3UQ+/OgIHT8xWplU7EdRReTWS1Yl/MZXTCNspHRMS16bOK910FMN2mUlcJytq68oPIcn0KRO79LP6pMRlAI0+Ugcu1zGaJrCSzbHtZiz0Xjp/jpsLLJ1qOIcDCKAntDe1pUnsJ67JviiIOicTUK6rm0drpY7SgAOfUqCs/5VmvxUTHEO+9cfV6ZjOdQfHDvgBaNsyuwQm5DfbQQdBB7T+P4r+0aVDYnzrZhOX68bvM6LcrYP4Xiv792yyvK5n+eNgSrHQQAbR/OkcAgToBkTgtLljViH+fq9fNo/0Ec37MzdcrGMqZnqQ/Hv7ERBSJFRP7p2K2Qrt2mBSD9HrywbbS7OKNFON1VKFjYe75B2TRvRqHu+qCu36ERnPsFQ3jaKS56RQsKy58YbVI2f7DyOUj/rAoFoY+N6TzFDpxHyV7dJrdZPZ+D6G4R13ehzxDDrdbijqHTuNeY+4qISG4diq7u27tOX2ddBNIzUSy7IoT7gYhI9jCeCa7ujLJpqcLrTvXj/Mys1nlePop9fsfG07rsIrb7B4O6TbbL+f/JO5+F9J0y1SLivbieu8u173TBY+ztz5UrG89duNfnMw6+kwc3WN80pnPDTl8vQMYf0B/KsBO4f7mTuFhWrRtQeU6O4x7nJK4vxv7vIA8sfsN38sSwbP+A7oeC+dMJfXbONWKbQjNYv9iPa1We5Basi3dYn1+FGrSxCrpV6S48Xz0vouhxfqP2X719qMB7V905ZTOWxXlz4HynsrGqDB/WGJdCqR6n/BweGstXjiqbvhPoK1uGYHD5Zi2mPD4ehvRDd2vf6R+OoO/kdH6J3xAs78M+T+f1OLla8Myba9QHQMV+LKxvUotRe4zx9fpx/YQqtB/8zKsowl26Q7/xGDB8J2PJiXtKd0S+BsuePKvvwcLbI5BuKNG+0/FBQ9w5jmep0xsbne0oYn9uUH/05PfX/xTSz9WuhvTZYZ3HZbj/8R7dJo+x3ot6SxDLuCXwXcA5ka7Tjao8blzXox332Fbs86PP6g+EuDbjHCjO4j1jIKzXu/9l3Kuja/Q9TV0tjl22B/eR6EbtDx5/FTt08y16H8kaCuU/urBW2XjpOy0JrumB0p/+6Z9KNBqVVatWidvtlkKhIF/4whfkwx/+sIiIjI1dvAGur8eFWl9fL/39+utZIiKZTEYymStOfCymNxxCCCGEvE0oyn1DoO9ECCGELEEoyn1VXNOzvqefflq+/e1vy1NPPSWvvfaaPPnkk/Kf//N/lieffBLsLOP7prZtq98u8dhjj0lFRcXlP62trY52hBBCCCFLDfpOhBBCCHmnck0PlP7kT/5E/uzP/kx+8zd/U9avXy8f/ehH5Y/+6I/kscceExGRhoaLrx1f+te2S0xMTKh/ebvEn//5n0s0Gr38Z3BQhwYRQggh5O1h2Qv3h1yBvhMhhBCy9FhIv2kp+07XFPKWSqXE5cJnUG63+/Knbzs7O6WhoUF2794tmzdvFhGRbDYre/bskS9+8YuO1/T7/eL365hjKcmL+C7+y9yJ13Rsthk7nqrWMZ/ZU2FIO2nztG1FB278AsbiBzegDpOISOy8odWhw2zFHcO40EIIY2aPTWIMuIhIYQRjXfP1Ws+jrBK1Q0ZmKpTNZBxj+G0flp1t1R1h53Bcw8cchHfasc+zK/A6y6p13LoZp9yxYlzZjBzFPs8363abfZNtxLI3VGJMtYjI8XHUXfnBC7com1yjoeGQ0e3+5KZnIf3U/3oPpGfX6B2gaGF/nj7SrmxsQ4PGEzA0E8xAbBEJlWL881Pntiub6mqMoU5ldfx7ZhxjptfegfpSAZfWtjg4gZpPK6v0WPZ4ca3mpx10i4xLx8+GIR0pcdhRjUff04amjojIjAvb5DbyOHSnFHM43jWtWnMkncdt8vh+rbPlMnQVQl2oU5Ds01psA3GMQfcFdJ//68xGSA+ewfUUmNFvL5gx5oWAMpGiUV+nvimrSUI6lcZ95V3LtJbQc7IK0pvb9E3uqZdxjqTrdOHpSewvbxn2jZO2nd2C1yk/osUNBtajBllgA+6nhSncZ0REXMZ03HtmpbaZw3Go6NDnhqvjio5GOqPHmrxzWUjfqVhSlMLrZ37/Pv3WUq4B/YEZBz2PkmO41kvyek8uvR117FI9uLYK23D/EBEpnsHrZmv0db2z2E+5CrQ5MaZ9J+8QrvWsea6LiLca/YqZKb2HzMbxDLGM7k22676ycrj2a1/VWiJzXYZm0lrM016nNQEj/airVLla+1exg+h8zjn4dj6jb5ItWJdlVfq6vSOoa/P87s3KJmXst+45/e/Tv7sdNQC/9427IT21UZ9fBeONvKFXtU5godYYhwDWxeugP+oL4fj/7xO3KpvSWpyz6ay+RbJG8EBtvw81vQIePfcOGxqLy2q1vzrhxXa6J3XZLpTDEvskrqfpUq3fZRm6VbGI1jaLG4dcqTGUpiyriIgY9wzBdq3fZPpOvXvalE0gaMyBbjyT7XO6vgPRMNYvqCv43Umcs7MncK1UTOq9x9TdzJt1E5GCsSeYmqAiIu429NMLc+hX3L6yR+V5yUY9pJXLhpRN3tCpTWl5TLGN+x4rhPPRSdsua9ye1Lyi2z2xFe813bfgenKNO9zHG8vwtWPad3ansKzgcj2PXN1X+tOm77RouaYHSg8++KB84QtfkLa2Nlm7dq0cOnRIHn/8cfmd3/kdEbn4uvYjjzwijz76qHR3d0t3d7c8+uijUlJSIh/5yEfmpQGEEEIIuQps++KfhSiHXIa+EyGEELIEWSi/6VJZS5RreqD0la98Rf7qr/5KHn74YZmYmJCmpib5xCc+IX/913992ebTn/60zM3NycMPPyyzs7Oyfft2+fGPfyyh0Jt/LY0QQggh5J0EfSdCCCGEvFO5pgdKoVBInnjiicufunXCsizZtWuX7Nq1621WjRBCCCHXi4WK0V/KOgDzAX0nQgghZOmxkNpGS9l3uqYHSgvKnEekcLF6Rbfu4VUto5Due0VrBfzSffsh/Y8ntIbO4AzqmNiVWFY6orVaXEacbcCrYzo9Riy7z43peE9Y5REflu29oMVPinn87a57Tyqbn51DjQ9XGmOdy0/qWPeE0X3xbVllU4hhLH5gEjuirx/j7kVEXCFsU/9UlbLxtGO8sa9Ht9uM4c43Yv2O9WiNIiuM41Ks0nH1UsC+CFTNKZP/9txOSNfePwnpaG+NymPbGBfsSSsTKaSx/3z9uBx7WnWA9MZ2jNcvhPRYnplGnZ3imI5t9jZhOw/2Yf+5fFqLwTWO49/RpLUXelyoj1PWoOOh5/owzj9fgePiDum5l0+gDpTLoU11q3FcRpqwfxuqta5NpoB9Hk1pDZ1cBm3sRh00HxhBm1gUr+PNOGgdGXMkE9NtGhjHsbTqMG7dmnLQqNqIfT7noJngm8C+WXVLn7I5MY5aJRXt2H97X1qn8viNJTZYHVY2pmZSVW1c2fjd2Mfj0XJIm7oAIiIuQwfCZYodiEj5URwnz12omZELaw01jwfrm57V+5NVh3PWfl5r2wXuf4NuRsFBtIqQ64Ar5RL36/omtpbPk7Y23Cen99Ypm/vefxDSz7y2RdkkpnCOe2twP8vN6r3UZywvn1/vpYVOXMdBYy8ontI6MUVjqZedddCfyeFvWx44p2xeObUc0m5DG63mkPYhosuwkyfu1DbuCJYdNOQHJy9o4XU3bnkyPh5WNlYX7jtlp/SAuwz9q3gL7p0XTjloFFXi/lSocfCd8obvUau1L7/9g3dDOvjLEUhb5/Q+aWoxeVLa/88Zuiul57B/h7u0T9bdNQLpYoU+k89PoG6Vd0T3Z74F+/zkedS1sc1DUEQCo1i/rvZJZTPmxnFwNWun0TpnaImGsW+KFXo9uWJYdmBYr42S9RFIz7TjW5HhWu3HefK4mBMpfd7aho9rteixLDVkFhMRvE6JnlaSN3wnO6r1EmfGUDMpV499UzKuz/q5W7DPcw5nfQlOI2m8Y1TZnBvBPTW4DP2Mw89rHcaSIvbNYG2lspkzbgkCDVqnzmf4K5Fp3C9NPV8REXHjb1ZRr42ag/hb6t3Yn3NVDrq7HqOsaT1Opo5t5Q/1PCr88hvmX8FJ0IssBq7pK2+EEEIIIYQQQgghhCzeN5QIIYQQcv2wX/+zEOUQQgghhCxlFspvulTWEoVvKBFCCCGEEEIIIYSQa4JvKBFCCCE3ARTlJoQQQgi5OijKfXUsiQdK77n1iPrtRxfWQtrvMAjf33sbpEuXaWG53DkULLO6UpAOvqyFJSNrDYHtOS0iFgqiklzsPIoPbt3ao/J8JNwH6UeO36ts3BMoErj/pTXKxqrAzjAnaGyZyiI17bOQnjmnBeH8hkBl27ZhSJ8/qcUdTVHLEgehwRIvihxOe7UQXroZhdisabTZsLJP5Tl+rAPStsP7eGWGwF58uRaW+8Bdr0F6LItjmWnVyyh6Bvsv3eAgwmuICGcqDQHDvBbGO/Myil6bAsciIlYWG2o5aOXZvSjUvHYzin2fOaFF7gu1OAY/Gl2tbNLtxjg5CDVWLtPi2G9kNqZFpE2hzntvPapsTidQsbDsNI7L9CYtsJ/Lok3FET2WCWNa56sdhGSX4by2DMHS0JAep6gX954164eUzYWXcRwyFXjdlNbBF3sG+88T1xO/0Ir709FePd4bO405sR/nXrFEb7q+VhSJnJ7VAromM5P6s+iBCqxfcQ4nsSem22SKu6dvTymb3DD2TaMHBSFnp7VIbKbcEADXy1IKhkBpZIueI5VvEBcuml8ZIGQeuO3OE+q358+ugnSZg+/0k2e3Qtpa6XBun8YzON2N53jtz/QandqCa9ROapHWQClep3gW95AVO/pUnt+tQn/qPx18l76uIcJ77PluZeMO/2LfaWa1Fmku6YrhD6fLlY0pLF19xwSkR49oUW6PsX152rQ6cYkP+yrtCyubZJvx0QvDh+xaZzhBItL3mnGwmF+iEZHQIJ5psyv1WX/H/XhOj6Sxful2fd4WT+B4J5sdJqjxoZ50Dc41V1bnGfkZHuQp/c0TcRvfA7Ed7pAC53DONtyGoszDr+HHLES0n7a7X/tOxWVYZzuh10bJSryHMXs8FdH3K25DwPzWu/SHfE5Gsc7Vhns1s11f1xTcrj2g+zzejjYZB3H35ErjLMwZHxHq1fM+4sX6dGzVwtiTP8MBzhki7Ik2lUWKU7in+WL6sE92Yn0vnNPjvaIb19TIHpx7OQe3qNCB7czP6D53GdVJj2ufNhPGSewyfGenNmUq0WbmHv1hHPcAzrZyH/pF2X7dqHwFznuz/iIitjHe47drm2bPlT63+UGTRcuSeKBECCGEkLeJbV/8sxDlEEIIIYQsZRbKb7pU1hKFGkqEEEIIIYQQQggh5JrgG0qEEELITQA1lAghhBBCrg5qKF0di/eBUjAv4rsYcPmT/ZvUX2/fdhbSB2Z1PLwZ/5xL6ZhkdztqA+SjGCda+64plScyUgXpLQ1a+2Qqg7GtsXqMzT10QNf3oG851s1hYuXLMX40OKJj2wvlhgZBVLfbJLUPNX+Ka3PKxnser3N2AGOUHaR6JF+OMdONpVo/p2eqFtIO4fpSV4s6BRNjqHVyfFzrN1kFDNj9zJ3/qmz+cXYj1uWQDqyO5TGW+fCRLkgXteSTaKUFTX0t9sVkEueVBHWscLoR+9M75aBBYAiKVXXOKpupIa2RBddt0fozds6Ih5/QWkfiNzQyMnow/ZUYg17qwfk6O6Y1KApleN1X/3mdsskFcbwr757E6+7FeSYikjOkg1K3zimb2lLsi/+j/iVl8+Xz90PamsQZENHLXY3TxJyOQbcMyQHLeKfUdulNYlU7xu8ncnqCjp2ugbS3WesU9P64A9K5jWhTSOm511KGGg8DGb0SvKP4W2BlTNkUDqGu0oZ7+iF9bFiLR7lnsT5p0e22DNGJ9tJpSA/5jTUoImWl2O6SSr03Rk4Z+dr1+uk/e2W/zOT0NQi5HhSDRSn4Lm4cL+9Zq/5+445eSJ+a6lQ2RWPZ5pN6HRe6cA5bEbQpfkCf9dYgnttrm7V+z3QafafRBlzH5/Z2qDx/4sffnDQ1c+X4Y6l22yQVxjPXM+vk1SCe53Hfjm3Q57a/BzfuwfN1eA2H6+YMLcyWsriy6Z/AfSfoUN1QPe7JiWHcW8+OaP2mgNGET79H+07fnt4G6bn9Wksmkkcfoecg+leFgIMO31XcUJUbbUol0GcolDho9bSifxAYd9AWNGRrfMt0n6cdtGLeSL5D641J1tDHHHfwyY3jyvRfRUT8XsN38uIazAw76EQa8/7Mt7QzUizD+rl3RiBd+WxY5Yl1Yv2m7tJnWjiE13mkea+y+eKp90LaN4F1mVnjcI8TNHynpNZhdJtTQPlOKou0dqG2WTKnx8k6hr5zpk23e/p7eG+UuMXQEkrqNtWE0GeYmNN6joFx7PPCeu1nBPfjJK7diXtsz6AWD/NNYX1ytkO7jbXaHpqB9Iw/rPJ4Q9g3wWqtzZQ7ims3s1zbTJy44rtncvrvyeJg8T5QIoQQQsj1w379z0KUQwghhBCylFkov+lSWUsUaigRQgghhBBCCCGEkGuCD5QIIYQQQgghhBBCyDXBkDdCCCHkJoCi3IQQQgghVwdFua+ORftAqSKUEr//oshj3KMF9g6+ugLtuyPKJpJAcTJTVFhEpK0ORVlnAigiOHYWxWtFRMpHMX1karmyqVyH1y0aony5BgfR6wD+lk1qYTRPAEX5AhEt3JebwHx2FeZpqY2oPMNitDOuRTjnWrTY5BvxxnVdihn87bRPCze6Y9g3KzYOKJtTEygc6SnFvtrWqPOcLUXhyxNZLcrcM4vtzoX0an5xaBmkfYZgdTqmxX+b16O438CsFsGePoeCmp4c9pUrqscg34WCjwUHFU6rCkXrbFuPy/bVPZA+OoWi5tkRLbjtrseyPVF9XVOaPVup1+70MezzxAoUvvSGtUB0dxUKbJ+OtyqbtpVjkO6fxv4tdum6BCuwTU7tjs7ib4+2P6Bsbuu4AOmZShTH7BnFuSgi4p7C8Z2J67KDOZyP7lFc27lKvSbPnG+BtKtC96e7GdtdX67FR6O34bwuTqIYabBKC5hPJtHGcpgi228/Bemzcd034x04Vuf2dEDa7sI9TUSkaAhuO33VwJXE9Is9hkCpw2Ge7UHBz5qNY8pmsgLr6xoLKhtxWi6EXGcCFWnx+y/uC2mv9iHO7kMRbs/qhLJJxXD+Wnk9eRsaUHR7Noj7V+JEWOWpHML96sJ4u7LxbkGRfss4F1PNes+zTBXppINra3zkInhYm2TGcE/OVuO6rm7QQuMRCUPa7eAHxXUzAX9UbzwFw3caGND+iy+CQQaNt44qmwvDuL9aIdw7N7ZodfKeMizrUEZ/9KR3shrS7grdhgO9ONfcbXgWOX0wJrwVP4QzOq3FiedOo5Cvxzji/DM6+CK5EtudL9E2uRq0cfqczfoNfZA+NoE+rXtQ+4PFJvTJ/Po7Kep8SOvvQ0jmtTCkk2vwDC5W6fuKTuMeZyiqffDq9UafT2A51ko9p12V2Oleh3YXDB/ni8vfr2w2LMMPbkRqcB/pH9L3YIFx9DOTZfq8DRvazYFh46My1Xq+Dp/BtZKv1H6G1YYXrq5IKpv4veiMuEeN+tVqn2wmYfh/Dh9cWX3feUifi+o9IWpqrv8Y1661Ul+3aIrjO/lOGVwvh07ix4nMD8iIiHhP4ZwIbtN9lazEsjzDetU53MKQRciifaBECCGEkOtI0b74ZyHKIYQQQghZyiyU33SprCUKNZQIIYQQQgghhBBCyDXBN5QIIYSQm4GF+vzt0v1HNkIIIYSQiyyU33SprCXKon2gFJkMic93Mf42UJlWf583NEDiPWFlUzaFIxNfp+OLgy78Ld6HsdklbVpfICmoE+IUbzoRQd0N3wR2db7FCPAVkVI//pZNmKIgIvUVqHUytaNU2Xh6MBbX9mJwa+I5HZPs346x2PlBHZPsmcQY5LShZZBu0/0rOXwJ7q7OHmVydLYZ0ifHdIy3dxhjsQvtOP77z6HOkYiI5cd2/+PULcqmZBDb1HSb1kfpG8Y45UwM6xKoRU0lEZHeUczjDuhY7EIQ542vBeOLN9SMqDyRHI5Lb5/WEsp6sH7T+TJlMz1m6BIYU3jn5qMqz0s/2ABp746IsvnlusOQ/sfRLcomZuiUWQVDdymhY6hPZhsgbZfpgO1lpagD0DeJ89xXpteciVMceKoV5/n29l5l8/KAoUsygWPgdbhuwYhb93i1NohnK673wgncn/IZ/ZJpdUsE0tOzevwLxrocHdI6Ri6jOms2o07ZRNphXvWjVpinTussvfzyaqzvmillY+oHvPe9ByD903/aprIkbkVdgoKDZp6JL2TMiT6972VrsCOiGa0VUdsUgfTEuNb9sPxXrmNnHfZKQq4D2fESsbwX9x9Xtd7zzHM6cEqv4+oxnPPTW7SPE3DjdYrnDQ2QLr3245aha+mwRFPT6NOUjOFelXLQcvQb+pOZhNYfrDS0Tibfpdd6ySlsZ6YRN27rB+jXiYgU78Y+9vVpv807jtdNtOHfJzp1/1rG0G1bcUHZHDO0Dy8M6n28ZAA7OdWFZR0906Hy2D5s979N6HO83DgGA/fMKJuJQRQCsgzNJFednp9jQ6jNJKY+logUSrANxXbc+1fVaS2pWcN3mjpbr2yKXuyrRF7rGh4d6lC/vZEdt51Qvx17ehWk0+/SWjIfbD4E6acHtiqbuSCePVbeOP8dtE8vZAwNrXI915aXoUbl6Kih+Vn+5ueV5SCxGke3SOkliYgc6cXFEBzFMQg6+U7G0nX5deHp23FOeA5hpry+rZRAB97vJaf0/ZWp6ZYY0PqobsPdb9qO83EqpffcdC/uLVa9XhunfmbouW7Umm6m77TjV45A+tX/sU5lmbwb03b2zYOXbGNOBM5rv32uzlinae07lbaijxsf03vsG/ejfNZhQpBFwaJ9oEQIIYSQ64clC/SVt/kvghBCCCFkXlkov+lSWUsVaigRQgghhBBCCCGEkGuCD5QIIYQQQgghhBBCyDXBkDdCCCHkZsC2L/5ZiHIIIYQQQpYyC+U3XSpribJoHyhZWZe47IsvUJX6tCBcqAyFvPpz1comXoLNs6JasO60GwXrioauWNHWEY1FQ0x39bJhZXN2CkWZV2xFMboTo1p4Om+IE3ti+gWyYXcY0r5x3aZCF6rNFWdQJDLWobKIPYNiaTXds8qmaGN9MhEUrHNP6rqYgacv9KxwsMGkf0IrdWbqUXTPihvijlk9TrYpWOgg3Lf8rj5IHzvXpmxcebx2+zIU7u6b0nNPCkaeKt2ffUXM5zqM/Xmgrltf19Cjc1gaUlaHgo8JB2HBshq0SWVw7H5yAAW4RUQKhnCoZ04L7P3vf7sH0qW3aaHOXBmKJWbGUfgyWK9Fzst24xye2qjXxk8HcG7Zxrjl5rRYasEUZXbAM4vz8WWrU9nU16I4YvwCju3cMj1QVgz3p2xc16+rbRrSPZ1o4x3UeaaHw5AOTOq1MdeEa6HgIHJeKEVlyZPGnuUk3Fhm6MgnK/QRYzVjn48N6vVz79qTkP7hyFpIf+a3fqDy7HrhA5B2O2g3lhparUlDqDVfp8Xz3VFDqHU2rGxsQwjT05hRNsXiG8ZhoQLyyU2HKyviet1v8fn1vlNWjnNzPBdWNrlSXNueiN5Dej340QOPz5jTDr6TbXyIonXluLLpH8f9oOG2CUhfcPiAQLGA9fXN6rJnXfhBg8Co3r+SK7C/PFO4f0W69XWtadwfvKvjysb0I+1Z3HcC42/+AYGDJ/WHR8wuNvc3EZFUE/a5O4ZlOflORWNvL+qjXureg5v9hdNNysZtnMG1K/EDDKPjWtDY/BhEQ21E2YwWMV/lK+gPnmjUZ7TpOwXyeg92NxhKzeO64e56tMmmcY7s34tnlYhIboUhTpzS5/YPvnMHpIP36g8CFUI4P12jeJ1ik1aarv8edujErVpo/IUL6Gtaxri5ZhzuMyrwrHQ7iL/4Z/DHoz0dyqaiwVgvZ1CUObpSH+Qe40y2He7tGrrQ9+xbgXOkpE/7Jul+FMsO6W/0KEH9XJmeR6Y/1WvsWS6Hj6mEBzDPTFjvCeYHCbK95cpm+2b88NGP+tdA+q9//99Vni88+yDWz0FgvWwIf0zksD/nGvQ4eSPYTmta34soN7LV4abmjfdTLvpOi5VF+0CJEEIIIdcPy14gUW76fIQQQghZ4iyU33SprKUKNZQIIYQQQgghhBBCyDXBN5QIIYSQmwH79T8LUQ4hhBBCyFJmofymS2UtURbtAyVfXUp8/otxsbEzYfX3Kkq9XMdv2n78zZrTL2QVoxiD7DIkNApFncc3i79diFYpm3wSY3pPxFshXXFGBxwnbsH6Fqp1LKlvBONWy0Z0u3Oz2Kb4Sox99U7oYS+0oK7JTEzHuoIGiIjYRhywQwi15FEqQFxp3Z+WqQu0UmsQlLixDZmDYSxHh4WLaznqBGXSOs76+Kl2SPtjuhVmjLRlmLRUR1SeoV7U0JpMlikbl6F/lViGbWyp17pLQ4bmQPnyqLKZTWJn2G69QyWSOEfsLMZrl3fqMYjFcDD9R7QOQD6InTMRCSkby3ins6kTdRXSeT0/pzdgm/y1c8rGXKuWsZjtmIOGkhvHoGOV1vRoC2Is/sCcXu/9ffWQ9q1FHagSl16nWWP825ZNKpvT/ahL4TP0T3KV+rr+CeyHbLfWVXBNG1pM9Q79aWiQddYaek7DDSpPvhTH39/nUzaZDtxrGgydKBGRV6dQqMBrrP+/OvKAylPSgut9blpvCrENhu7DhKHF5tPiAUWfoTnioC9gG5pJjRV6/QwPvUEb5s2luwh5SxQbslJ8Xc+oeEKfOzEbf3OHHTRADOkYj94exDOL+7SpNVgo6LM0aGxxg7VaQ8dK4HX7z+A+U3tCL8CpOzCPXattSoZwHYf69SIMTuN1Ztdh3wRHdZtSNVhWPBpUNqamotv0RR1uIvKlhvZR2kG/yfBXc+v0QAUMMTn/S7gvZvUUkcwK7Bs7rc/kvmPNkA5GdCOyFcYPRhNq6xz8lx6cE9NJvY8HxnAsI4bOTlVTROWZGUG9mZJVeo/OJYyxc7hDKhj6nZapN7Vca0AWI7igKg9ofZyccXbGHfRmTP2YSkPr1Ml3mrgFfTC7Xuv7WeZ9jnHIuSPady56sKzKdfoc7yg1dIyS2neaPoe/FTcZOmYOYoieUey/6pVaq3PgHPpkrkq8bqZKz9egoZkUW6M1Fb2GVmyhUe8jpgZVs6EDNtyP+nMiIllj/EPn9HqPL8O+CHXp9fPaON5rur04lrte/SWVx92OPmJhUvvKU1sxHTBcZdvU0BO5fA5dwpXTbUq34LhUh5PKJtJ3ZSNx5RzEMcmiYNE+UCKEEELI9cOybbEW4CsiC1EGIYQQQsh8slB+06WylirUUCKEEEIIIYQQQggh1wTfUCKEEEJuBoqiPp89b+UQQgghhCxlFspvulTWEmXRPlDyHi4Rr+f1WFUtwyKNW0Yh3TtSp2zcfox/DTvorsyMYJB3ZUcE0tNjZhC4iMcIJ3b16Fhny9Q2KcO6RNbqGGqP8aabXdTxpoFpNJpdrUzEG8F8riSWlQvrGWvNGlonYa3f5O9Hm4KhzVIs03m8Rsx3NqE1VcSD9UkkAsokFMKxy5q6Dw4CTn5Dt6atTmvUnJ1DfYZMs8NqNq7d24+x2VKi46wrmzG2eXa0XNkE2jDW3h5CrYBIhe6HikrME3+lWtm4jC72OazyrBHC3dkyAenB01ofp8SYVzmHdZkxtSty+iVI9yzOx9FprEyxUvenpwbj/pvKdez44LFGSOer8ToeB+0bU7ticDasTMbiOHaZSa2R0dyBOlBjp7FNy9cPqjzRNTinB8/WKxuXoaPmO4pl51bqvsovx5h+/yk9jzLV2PBiv9apqF6Fmgi9szjXTO0IEZHGrbgv913Q80jiuIFGgro/t9Rif706gZpKTpojKUO7xBvT9csbR57PmEbZJn3h0ibU2qgNJpTN+PM49yYc1q68cc9y2NsJuR6EX/GI331xnmcq9HwO3YbremxInyG239BdrNM6bNkh9Ht8y3GdzA1pcZ68H+d94LT2B9JGdQpleCZPbdK+k9i4D1oO66tkAts0tVHrwvhnDK0jQ2YnU6n702PoLuXD+qApu4B7UXI11jet3QOxDN/J3DcvFo42dlz3p6m7l64ytDAd4hTchk/W1KT1cUZSqBOZaH9z32niPA5uoVTnKWkztC+HtX9d6MA2eQdQ8yVWqfdfX7Uxh/fqTi81us928J1SDdhhpgbgzDGtj1Nu+O0ZfVshhisqloPejH8a535sAvWmstV67ll16EM0hLV21OxrWOdMLY6Lk26gqX06Pq37cyqKe4A1rudnhaEDmjwWhrTpU4iIxDbiWT97Qu9hRUPbrPJVXD+za/XcS67G38JH9AQwpr34L+g2+ddjm4anwpB2axkrCe3AeTR5VrfJY/g0sVI9zzc1DEP60AhqKjn5TgVDdzcQ0XMvawQ0BWaMOd2i+9Pdig2tLtX6SHP/ju2cC4eVjfUGvStz3pHFA0PeCCGEEEIIIYQQQsg1sWjfUCKEEELI9YOi3IQQQgghVwdFua8OvqFECCGEEEIIIYQQQq4JvqFECCGE3AzY4qihMC/lEEIIIYQsZRbKb7pU1hJl0T5QSq7MS853URhsdeOY+vueGUMZzXIYhWkUS0sHtGi0uwJFwzpDhsDeYFjlKTRiHtsUTxQRawZFzuwEdnV3pxaaS+Qxj9uhTeP12G47qEV5c0EUo7ML+CJasFwLbM7Noribe1oLQBa7UUQ4P415fA6i58Uilt3qIO44PBOG9OYmLWB8+GgXXtcQGnRP6vomR1EQcCCiVaR9hp6eq0Or5RWNYcgaQtPLa1GQWUSk9wyK9Fa2axFp61msT9oQWM8X9QuEiYghwtepx7+kH+da6YaIspkZQlXIwVkUd6xdrsdpdAxtwid1/bKtxtxLawHVQi3WOXgex87TqueRvIx9VXG/nsN9ARwoy20IljpoudbUxSDtdVCfNIVE373luLI5FUdFzYIxTKMpLVgZOxeG9I5tp5TNCz0rIJ3oQEVCv8Oe5jHE6FP1eh/xxgxhVoe+mZjBOgcv4DgpYXwRSZp7WJVeTxvrUTTytYE2ZfNifDn+UMD6+kIoPC4iUuLH3yK2FgX2RLGhWUMctRDVApuJSWxT3KX3keIy7PPGhlll80bSGb1uCbkezKy7cq51tmjfqW/SFA3W69g3gWdINqhdxYLx8YSuCjwzTvbqdZJuMcSzHXwn9xTuM+4EnjNNK/THNZJZXLcuB98p0YTnV7FEq7umDJFoy/CdXBV6P7OncH/wTevNNLka9ybTXynW633c/ChLdUtE2UxN4h69rn1I2Zx9tR3S6QY84/wTur7FIUP0eMZB5NqH9csu13uabahyF40POTQ3zqg8k8fRx/V36Y8glP8r9t/UJuOsL2hR4fwMtim7XM+R8nPGh0e2aBFh9wCKhI9N4yESXhNReaKGv1VzWPdVssOYa2ntX6XrcewqThs2nXp+hvbg/Kx4SPtXU8Y3OWxD7L3o4B+UNOG4eN3ad0qeCkN6++3axzkRMT6mEsSyxxMO5+1pPNs33nFO2Rw8sQzSUcOlcAV1fV1u4wNBTXrfMz/k4eQ7RaawfuY4pav1/EzmjI8e1eo5srZxBNLHe1uUzWtnOiFt5Y2ynD64ZPiRmaL+SIsvitdJ43YqrlndV/YYrtMJj75uYQWOd0VrRNfvjfXI6PqTxQFD3gghhJCbAdteuD+EEEIIIUuZhfSbrsF3euyxx+SWW26RUCgkdXV18tBDD8mZM2fA5uMf/7hYlgV/brvttuvdQyLCB0qEEEIIIYQQQgghi549e/bIJz/5Sdm/f7/s3r1b8vm87Ny5U5JJfLPyfe97n4yOjl7+88wzz8xLfRZtyBshhBBCrh+W7RwdPh/lEEIIIYQsZRbKb7pU1tXy7//+75D+5je/KXV1dXLw4EG5++67L//u9/uloaHBzH7dWbQPlLwjHvF5L8Zf9l1oVX/vWYdP4HIFraHTtRLjTS+calI24S4MiH11GPU8Hth4WOXZO4mxucmUX9nYRtjq6mWoG3LuNd0mU8og16RjRV1eQycmqYfQjLWPn8Bg1zmXrm95DfZntqADg/N54zcjzrrEp3VNIsMYOz4yXqtsbEO25FxU2xTKMd7ZM25kcliFgUkchPfv3K9s/unwdvxhMqhsQo1xvG4P2pzP64XqncOykyfDysa6B/vcfxpj84s1Os7a8mI/OGlQ2Oswjn5mVOv3BCfw2sEW1CSaPIe6QSIilqGZ4bk3pmz8GZxb7+o4oWxOJbC/BieMGPoeXd/Ge8YhfX53h7KxjZ/cPuyrglevlakpLMuV0i9tFivwOs/2rFE2vklcG+ZulMpqbZ6yZbj3vPTqamXTshr1QiaO4trIpfV8zRvSIN56rTdV2ZaC9GxSx7aLoZsx14n70ZomrQM38gzua/atWtPh4IUOSFterWUSrsS1EY0b7ezV7c514zj5pvQe1r4Z9+HzPXgmKL0B0XvPqmbd7jPnUctgPKrnsP2GZmaz1AEg80PpgEv8nov72PRZfTa5NhsakHm9L9at/8X7joiIbzlqqBztw7X/nluPqTwvjKHvlEnofdE8y9tWog7U+H48L0RE+U6pVq2P4jM2ZXdCr/VAB+479mHUQkm5dH299ahJU8g5iKoYeoi20eV+v94PcgO4J8dGK5WNx4cN75nV45SrxP01MGbUT3eDlI7hde9+6DVl88OXt+BlTJ9MRNwt2DehE1j2WM7U8xLx49Ek1pFSZTP5XvQ1g4asYbJWN8o2zxmH+IzEVsOHHdFllxnbf74d11PKwdcr1uB8TL5Pn4vuNE7Q+1acVTYnojj3Z8ew/9yn9DnufgB1qia/r++D7GXGfYUP+6ro052VHMe14Uk56FZV4XX2nlylbILjhj6i8feZjL63867ESXJs33JlU7UedQxTr+L6yaX0fLWMKZJr0vc03i70p2JxrS/mMXTgoivxwl1tEypP8n/jWMbuViZy4qyhN+nTvpO/BtdcOor1Kzmr251dY+wRE3osq2/HOo+drIO0y0G3LBfG67a1af27oTN4ndlprZkl9J2uimj04j1FVVUV/P78889LXV2dhMNhueeee+QLX/iC1NXVOV3ibbFoHygRQgghhBBCCCGE3AzEYvgP9n6/X/x+/TLIJWzblk996lNy5513yrp16y7//sADD8iv//qvS3t7u/T29spf/dVfybve9S45ePDgL7zeW4EPlAghhJCbgYUSzKYoNyGEEEKWOgv5oZHXy2ltxTd+P/vZz8quXbt+brY/+IM/kKNHj8revXvh9w996EOX/3/dunWybds2aW9vlx/84AfywQ9+8PrVW/hAiRBCCCGEEEIIIeSGMjg4KOXlV6QTftHbRH/4h38o3//+9+VnP/uZtLS0/Fw7EZHGxkZpb2+Xnp6e61bXS/CBEiGEEHITYBW1TsR8lUMIIYQQspRZKL/pUlkiIuXl5fBAyQnbtuUP//AP5bvf/a48//zz0tnZ+abXn56elsHBQWlsdNAifJss2gdK+basuF8XHCwO6ydzVgFF4kor55TN+SkUOSuG9IxoLo1AenoCBcGe371Z5ZnrQlEw75gWjSs0oE1fFAXhslVaNNIK4G9VFSllM53F+llZLZaXMASAsy1Yl81NQyrPsaMdkC7qJok3jqJrpvRkusohU7nRVwEtqLa1dhDS+4+sVDZmWa5W7Ju8gxBmMYnz5h9P3aKrZwhuVwV1n48nsM/Tncarjw5idKZIqLVcX7dYxHzFEsyUj+l539GConZ9Q1qEMxPB8XdVaQHIuQJeO+TCuec0/mIIwN+/4qQy+c6x2yH9w9mNyqaldQrSDYbwdDKnCx89Ug9pWzdbXDnsP48H21TZiiKNIiLRORQsLCS02LMngGLk+biunymg7x9Am3Rcj6W7Avej2pVTyiayz9jDDF1Wp0NOCUtm9TY/nkKxfJeDuGNNC/ZXdg8WfjqmPyzgrsc5bc/odgfqcK92EvPfVIl71Avn1kE6W6P3z5yx3oNai1z6Iig27zbE892dKMorIpIxxDvrfHFlc9qD/Vcd0teZmrjiHNhZPnEh80OyqyC510V0gwN67RcN38ldo8+HoXFc61a5ft2/PYQfFTg/hgLGr34P16yISMYQpy0Z1uf2XBPaDM5iXexqXZdC0LhuWPuD6QzWz6WbLXNpXOuFNrzuqnb80IuISO+ruA866HZLcBbrbBtuW7pW90PBOB/cwbyy2diA++TxA8uUjXlaZdpxv7WzumxPAiv4b0e2KBtfK/ZxOKj7fCqOfR5Zgde19DYOArwiInOr9PlgG75TvtTwwWL6jK5vM8Sp+6qUjTWL/kC+RvurSUPEvtSNFc44jL8nju1+31r9sZJ/efVWSP90Wq+fqk48k0s3RCCdyup2Jw5gO4v1ykQso5ku4zwLdqAAv4hIwvgYkeUksG/c07iiej9KtaBNWS/2VTGmr5sP4+ItWxtVNoWfoo9TNL4z4/g1LeM3O6PXRiyJYuS2T18o2I79FfgxiqUPRvTNvLcZ0x7tDkqxAdsd8Os9YXMN7gmHTuH9VLpO17eYwHlTktY2Q1NhLNtwcbLL9YZqp3C8GwL6Qz6DXhSHLgvre6XU6JU+d7rnvVn55Cc/KU899ZR873vfk1AoJGNjFz9gUVFRIcFgUBKJhOzatUt+9Vd/VRobG6Wvr0/+4i/+QmpqauRXfuVXrnt9Fu0DJUIIIYRcR6ihRAghhBByddwADaWr4etf/7qIiNx7773w+ze/+U35+Mc/Lm63W44dOybf+ta3JBKJSGNjo9x3333y9NNPSyjk8DW9twkfKBFCCCGEEEIIIYQscuw3efgUDAblRz/60QLVhg+UCCGEkJsDW9Rr/fNWDiGEEELIUmah/KZLZS1RFu0DJWvMJ5b3YuxsoUnHZob8GPQ7d1qLV9lhIw54QsdenqtAjRIzdjzn8FaYf8jQR2nQgeBuH/72my2vQvp/jN2j62tjHPjGdq119NOhtZC+b52Oxd67D2OvrTKcoccmO3TZ5kyo1HHrxVq8TnEcY6j9DivBM2bEP3fomPSDP1sFaatUX6esC2Nvk+cwPtqu09d1GeHFy1vGlc25MRTj+aPWPcrmsdi7sSw/zitrTsdZV66bhvT0OR2vb9dhH5d1oTZLoai1mcZfaYC0O6z7qqYLtQImBnTZ/jqMU3Z/G7UDvBt12XljHv3DSzuUjV2J876xLqJsRmaM2HZDk8gOaH0ZTzsK4tiTWpunUIr5TDWByYkKMTG1Ddxp3e5sEq/0/tVHlc0zPeshnTZ0yyyHWPxkzNBrGCtTNsX12O68UZfu5jGVp/+wEYw/5bDNNxp76ojuz+kIapcU1xn7nIN22D0bT0H6ubOrlY11CvUESrZpvaGfHcR9rlBuaBTVaR0jUz8i1ar3e+8g9rmpmeRx6blXGkabSo+O8bfy2BcP1B1XNt8rXNETy2T0fkXI9cA/7Ba/9+Kan2vVGht+Q3fDfbxE2diVuNeX6m1GeitRlMTUWEzr7VbpoyRb9fll+3Gf+XDnAUh/Z+gufWFDlGjT8mFl8srgCkjfuuWssjnyHNpky7FNfRNaN842Dppcle7zvKFb4h3FTA4qjBIcwTMju0xft2d3F6RdTlEMK3D/8p9CXaN0o/ZfPYb719ShBV1GhnD8/8/OnyibL0Teiz8EsR/cSd1y7xb09QqntG+facS+sFfgnux18J3m9qIf5KnSNsEVhp95QXeo3WD4bV9DvZz8bTpPLoRl/eD57cqmWI1nT7hB681MTmFfuGM4R4pBh7vRq9B8zYcwn3lyJhx8E1/U0B900CzMlaLvcd8mfS7+5CSe9cl2oy4OPlnB0FXKn9D+S3KLsV6Mudbcpuf0zCt4P2BNar8t24z9GRjU/Tk3i3MgsdnwKwp6nG699QykXzqutWTLjmG7vTu0btnBlzBfvgLLCjZqfytt6GzGOxy0L/sMbd5l6EO63LpNAUPbuNKryzb1u36p8Ziy+W5h0+X/L9J3WrQs2gdKhBBCCLl+WLYt1gJoASxEGYQQQggh88lC+U2XylqqUC6dEEIIIYQQQgghhFwTfKBECCGEEEIIIYQQQq6JRRvy5mmZE8/rsf6uEzrGP96Nabtcvybmn8LnZfmVOsg3FwniDxUYT76lvV/lea23A9LeiI6zzRv6IiP5MKSLDjox7jms757Da5XNPZtOQnr/c+uUTa7J0JKJ4nWztToW3xPA35xi+gumbk01xrI2hLSuyYVK7N98yqds/KsMTZKhoLJJ5zBO2RfD8Q506bFNVeH0vjBVo2xa62Yh/cUfPqhsSjdEIJ2NYT9Y5Tqmd3wSBSQs3WxxTeGPiSKmg20Ymy8iUlyNfdUa0nH2/ZOobVDRpG2iExjjPfpLOP6uGb2evA0YD52Z1OPk8uHcG50IK5vqamxXrgRjseOTOl7fZWgD+Ft03/h+ivvEzK04Z1oaUVtKRGRiGmPm861aO0wMfRxTL0lExErjHuCvxXGqr9P1nUhiO72n9T4Sj+KccKewLhcSTSpPoQHno9uj95rKPdg307frPcHlxb3QymH9rISu73PnUDPJFdTXnWvDsWwORpTNZAvqfLSGopDuP4daYiIixRJsZ02tnvdTNmpQNJQaGkqWgx6ehfV9LdambErr8Drf7rlN25y+sh8V8zdIB2ChPn/7Fsv42te+Jl/+8pdldHRU1q5dK0888YTcdZeDZg75ueQ6suLyXez/ikP64ImuwfPLU6HHKjiB6fhavY6tGbxOoQrX35ourQF58hxqEPmntaeRy+G5PZxFLbdCia6vuS+++orWH9l2K2omnfjBCmWTNiSSfLPG3zfqvVQCxj6pLcQzgfttttrQGizX58NYDfavndLuenIdnlfeAa19ks9gvtCsoYW5Qp95qRo82yOjWoexpgH35P/nn35J2QS24jmYiWI/5Ct0f8YMvR63X4+3bwLbZBeNdKf2BxPrcc+trdD+6vhYGNKBVq1RkxvFvhn+UD3WbcZBf9LQgXWN63Vpe7CdkVGtHVVSg/2ZLzXeCRjTPlnRXC8duk31z+B1xu7C/qxuwbEWEZmbDEM61abPTsu4DzL1kkT02rXrcT5WN2ndnek4+nr+WScdI2yDWc5EDH0/EX3vZHv1/Gz8Ee6Fo/c5vJdh5suhjTem8+w7iXuWXaL7M96F+TaUziqbY23YN/UV6AdNndb3QUVDH7WkXvf5nI0+WXX5m+tPugzf6eCs9p1chp7nd05ofbGqY1fGzlPQfue8s1B+06Wylih8Q4kQQgghN5Snn35aHnnkEfnMZz4jhw4dkrvuukseeOABGRgYuNFVI4QQQgghPwc+UCKEEEJuBmwRKS7An7fwj2yPP/64/O7v/q783u/9nqxevVqeeOIJaW1tla9//etvtbWEEEIIIW+dhfKb3qLvtFjgAyVCCCGE3DCy2awcPHhQdu7cCb/v3LlT9u3bd4NqRQghhBBC3oxFq6FECCGEkOvHQn3+9lIZsRjqN/j9fvH7tc7L1NSUFAoFqa9HPZL6+noZGxubv4oSQgghhPwcFspvulTWUmXRPlAq8WXF/7qwZFq0KHdrVQTSE+frlc2yHSioPfyDVmUTazcE9Ix3to6/skxXrsYUq9UmVhav+6Pzhhidw7thoVZ0vst8Wiwxlg9AOtWuxTLdPqxf1oPD3FgTUXkmoijSHCrVooa13dOQHoyHIX1hoE7lMUX5XEk95TJzKLLmbsgoG+sUzoF0LS66QkyLETYux/qOzWiRw9hPUJjPf6cW8p2dxL5xG0LDxaQWBBQX1s/2a8G6Yhn+VldliOdd0EKYtjFv+tMOZRtFRWa0yHVVvXGj58Y2TcygsLeIiO8A9nGuRRft9uJ1CtN6XCI+/M3vf3OB4sI4zvtEWM/7hveiQOFfNbwE6b/pv09fN4Dj5PXp6+YE52e5w9qIDeHcsm2c98nvayHE4PtQFDTrMJSeCtwDOjtwTp8d1vueO/rm2/osamdLc40WLB+eCmNdDGFZadX9YE/jw4Ji8c3r8uqx5fo6huB/3wUU4XZVOYinz2FZ0Z5KZdK4cgrrZ4zT4Bkt9l0w9FNLG7SAbv4U7hF2k55HqcYr/5+5QZrcC01rK565n/3sZ2XXrl0/196yDIFW21a/kV+M35eTy8/sHL4GUVeHArvpM3qd1LwLH+Il/7fev2a7jXExxqn3BS3AatXhfutyWAcuw3d67gxuVpaDJqu7EwViS336wvEcniExB9fO9qPvlPZhYRV1Wsg5MotitYGQ9l9qVkcgPRrB82Ligj5vXYYmrzumG14IGh9cadLtDh3DOZBsxP7NR/UD3rBR36zhA4mIWM9gG3Lv1mLP2TH024ql2Ch33GEwjWlVCGiTvOHjVtTg+M/1aF/PbfhO43NhfWHjXi7j4L8EDZFov+HzJI1zU0Sk6kU8m2Kdek+zjLnnndJrN+XHzjA/puOEdxivYwrCi4ikfwXPtL9s+Rmk/6+e+1UeV8BM6+sWMzi+gXLtMxQSuH6Kxhi4n9ITwP9Bwwf36TlcrESbpm70D4f6tSi3N2LemOkbtemNhmB5XUTbGB+9CYxiP2Q69Dp1T+F1i07i08a0OXWwU5kUjfvTybO4t+RrHD6wkMKyCqf0PUP5Ojw3isbNyPQxfb9S9OFgWs16b/QfwbHLt+kHKvG2K2VlcpbIQWVCFgGL9oESIYQQQq4jtizQV94u/mdwcFDKy6/c3Dm9nSQiUlNTI263W72NNDExod5aIoQQQghZEBbKb7pU1hKFGkqEEEIIue6Ul5fDn5/3QMnn88nWrVtl9+7d8Pvu3btlx44dC1FVQgghhBDyFuAbSoQQQgi5oXzqU5+Sj370o7Jt2za5/fbb5Rvf+IYMDAzI7//+79/oqhFCCCGEkJ/Don2gFEmWiD93UbMj4CCh0D+GcaG1wzou9EQPxvB76/WFKrswrnZq2tDCcOk4Vm8Uf8s5xK2X9GDXpoyQ7juW9ag8+wa7IB0VHb895cd4Yyvn8JKZEWvvqcO4Vad4fcsIf04W9b8kRyoxrtadMMqucNBzmsF+KOgmie3Gd/yK07pse3UK0mE/aqjET4dVnjEPdnow6KC7IqgLE5vQscPhszhvsrfheM/l9Rj4xvC6VldK2dzbgHPg5e9ugHRVSusuTW43NChc+v1Ia9bQuqnW7c7kcVxmR7GvPPU61vndW49B+vt9G5SNGJo0pUPaJFaB/VVRgXH12XK9LQX6jDkxrm1y23Hef+EsfjGq6LBWWron8bLHtQ7Y7beehvT+oyuVTVkLamuY/Ru9V+8ROWOvkQ493hLHsZzw4/z0zDroapQZc6Kg973gOP42ckFrpJQaWshzq3FOlBzW6zSxBvcAy0EzbfOKC5B20qnL+TGfZXTN6jot1Dw+h/1Z2ao1PYbjFZBOzaG+hOVwInYvH4F0z4VGZbPz7iOQ3vP8Rn2hVVf2APtGiSjZ9gKFvF17GR/60IdkenpaPve5z8no6KisW7dOnnnmGWlvb5+HCr5zmYsFpeC7uG+UO/hOk8NhSDf2JZXNwEnUEvM16wv5VuCel5xA38R2OZyLEbxOqlXrroRPYr4IVle2rMT9Q0Tk4IUOSKdF667MBtD5cDm4A+4IbgC5RlynqR7cP0RE/KbbM6w3keFq1BLyxrAfcpV67/dNYz8UgnpN2cb275nUQnzJ9bhvm5qFnhPa55l1417qKXXYr2yjr0a1c1d9Asd39l7srLzD2VQyhI1Kd2tf5J7Wc5A++a0VkC5NaH9r9F6jfg5rwzeDZWdrtU+bNc72zJChAeRwP3DrHcch/UzPemVjGcNb3q/XxnQlzomySuybaFj7AxXnjN9GdcOzd+N1P3/8ATTI6Ty1a1B3MXFIa+isues8pI++qs96q90Yqxz279gDDofyFM7ztJZhFCuG+SaDOE7+Gd2mnOE7mfdFIiKlw5iOucLKpnIY1/PsBpxH1a84aTNhHo95fyUiK9aiQ923V+sCFwKYzzJ88uWNEyrPeBLXe7hT+06jUbxHyBvasV4HyafG1ehfj5zVulXb3ncS0gd/uEbZpNZdmefF7A3wnRbKb7pU1hJl0T5QIoQQQsjNw8MPPywPP/zwja4GIYQQQgi5SvhAiRBCCLkZKIrjv8zPSzmEEEIIIUuZhfKbLpW1RKEoNyGEEEIIIYQQQgi5JviGEiGEEHITYNm2WAsQo78QZRBCCCGEzCcL5TddKmupsjQeKK1NqJ+qvChyNrNGiyU2tE5DejQYVjbROUOor4jvtXkSDgJ2NajUZiV0NxY2otDcslAU0qYAt4iI243vuuXT+roZQwjRchDLs81shihb0acn7OplqDTXF61UNvkkivC6sob4d4kWS7OGUbjNrtMCi2IIS9tpLfabncBxsmMocularkUYQx6cI36PFlicaUOhPtec7s9oN9bPbYgyttfjPBMR6Z8zxJ1ntUjoT/tQuDe3BVVCO2v1dVMJFM/LndeCmmUrI1h0rFTZNBvz8WzC6PNBXd+f+FCM2o74lE1jFwr+9a/SNt4JnBMzIygI7aDlKslWHANPUo9T4RDOWbfRhPDqiMozHsP+dGstQjk4icKH7rQuOzaNfVxaiReqLNXCt6kA9sPseLmyCYxiZ2RGcZ/bfCeKk4qIHDyBwpeuar3mvI0417J9IWWT34htsI31Hu/S7+b+cheKU1e4dbv//rW7sS4OYo61zRFIR1I4mMeHmlUeVwIv5OvSiprJmJ7Xb6SyR++NZwMoUFxaq/eaH11AIUlPd1rZ+F1X+svtWsLvNZMlQ2qzXvsBL66Lqc36DAl1RSAdcdibJGmsJcN38qJmt4iIpOuMfTymN/v4NtybmsMxSJsC3CIilsdYT2m9qRTn8Nz2OvhORUPT2jZ8p4JX7w9t6/EDAYOz2neyE3hh03eySrVv4h3APJkGB4Vgw3dyz2lRbmsMz3YrimdyZqWeIz5jjvg9uuzoMhx/t94WZWYNtrOYw/rWN0RUnqkkijtb09qHePncWkjP3Y71a2zQlXHHca75zjicBca9RjaihcabK9B3Goih0HCgT4/Bs370nTwz2revXIEi11Mb9DwKjBli7kPGh2dcDr5Jp7HmHO5pfC/jHlASRBtrvb4Hm4pgnlBKr43Doy1YjoN/lTF8e9NfCYd0plTQWBsj2sc1PwhjD+I9Q+f9fSrPqcMdkM7V6HuaTAv+5jpXomxi24x8GRzvyAq9771vFfpOlQ6+0z+8tAPSXgdfubQVN964sU+f70d/RkTvw6kVer0XjH3DFPuuOqH3keEgrg2Xw8d+9pxejT+sdvi40xs+3GQ5fIiILA6WxgMlQgghhLw9FvFX3gghhBBCFhX8yttVQQ0lQgghhBBCCCGEEHJN8IESIYQQQgghhBBCCLkmFm3Im2vCKy7vxTjZdL2DwVGM37Wq9Gti0QOozdK8fVLZjEyGIW3GWTdvGlV5eodRH8cVziobOYUxvb0hQ/PHIZZUxjHWvborqkw8/4LXmdyqL2MZ4bvFHLbJ9ui+OjWGnWwXHJ41GpoDHetRd2kgpmO+040YD2sVdfy2y4iRDzTp2OG5CezPkjURSK+uGFd5js82QnpqNKxsAk0Ya28d1bHYdTvw2v292Ff9uWqVx3xU63LQ3TH1GOwC2gwdwvqLiGzcjpo5h3ItyqbEixMgFdBx4GcHjThqY0rkG/ScNmOxwy16fo4exb75jbtfUjbfH94A6dZQBNI+l47fPtmL7bQddHdyphbEMNY3mtKaCb/efhDST0/uUDauHBZWCGn9G3cCB7ymGefw9JyOs0/GsT61TRFlE51GPYnSMSz7wPlOlccyNNKK01qTbK7O0Gur0H2ej2E+c2+s6NAiKT8cQm2L4rDu8+51I5DuO6T1kKbj2F9uM27e0nuYXYHzfGRQr8vgOLbBvwHncOw23VfLqwxtix/pdVl1D14n4aADVx64oquUtrROwILAkLd3PP4Jl/hfFyZLa7kMKTuIc3PO4fgqvoBabVV3671+ehx113wxPL8qbp1SeeYGsLB8ld53yo6jPzBZjjoc0qjPM98Iaqp4VmjNl/C3cc2N3xlWNi7z0obPY2t5HOkdQn/Qyccxdfdqt6HW4PCM1gBNthhrqOCgfTOFLnyxRWu3ySiOd2ED+jwbKrEuIiInZ/AcTw1pnS1pxbJCr+o9z38f7p3TPXiejWfDKo/baKY74+A7GUVZRt9EX0HfX0Rkzd19kD6W0+dOtQ8nQCaoB3yg1xhvY5jmmhy0ruJY4WC79nGTB7FvHrr/gLL5fh/6To2VqC/mc+tzpf8MbgJKY1VE4msNvdFBQ6Mopcf2g8tew7qNb1c2xTyet9lyfS6Ymk7hDpyfs0ntO+ViWL/yVu2LFCZxfyobwrE9fqpd5bEMn9w7pcc/U2+0odJBDzGGe5gvamhSLXPQYexFHUb/gING6RZcq9Mv1ymbWAw1qa5GcygXxjkb6dX7Uci4Fc5uwzaM36fr21yLZ0Duu2Flk3gvXmduTl+nPHhlr8moTXoBYMjbVcE3lAghhBBCCCGEEELINbFo31AihBBCyHWEbygRQgghhFwdfEPpquAbSoQQQgghhBBCCCHkmuAbSoQQQsjNQFFEtCTJ/JRDCCGEELKUWSi/6VJZS5RF+0DJ1TQnLv9Fobj8nBZGS3UZYs8prdKb6kSbzDkt1GdXoE3d8mlI9w5q0TN3CebxnXMQvW1EkbPlbSjsPHSgSeWp3IwCZuORcmXT8SGs30S/Vix3ZXHmB/qx/7LdDsKNBkVbrx7vLE6XHg+W7fZrMULzt0JGj1P7yjFI9591UBI1pkBNAEUNXxroUlkCvZipclNE2UQN8blitxZ8GzyD7bSMVWM7bACeChS19oxqceL0MsPGgxeqXIeCiyIir55aBmm3w1BGDWHJXFb3eWl4DtKZQRQjb2zGeSYiEs/gPI/1a+E+aUFh7H84cpsysULY7p7ILxYIFxGxjHlkl+pOdw1hHxcNcWr3gB6D77o3Y56Avu4vtx3DPKe3KJualllID0yhQL2/XwsNukuxfhMSUjZeI1vTg4OQtn/QqvLEbsHxL8zpbd53GIUb82u1CHvRmDdBQ2O3pFvncVvYf1G37vPeYyiGGujWgpoeN453LGEITTrsIxLEfdl264mUMdacncM9Ip/UZ42vBusS3aL3CHsax84T0y//xqeu9EUmfwOEJclNQbY1J/L6vmGl9NqPrjD2Ra1fLTHDxnsmrGysClzrpasjkJ64oNW+7RCupfLTeh0nDa3khmX4MZXoXu3Hebdj2bPTei8t/z3co+3zen+wDN+p/Dyu49jqNxfTt3N67ftm8behfhQatwMOQs5+7F8rq69buxb7ZuJErbIpGkLDNSUognuot03lKe/Bsty3aBHp/DkU6o6s1m3wHTfmgLm9Opz1xUrs49Jjeg7HVhp948W0b7M+U04eQRFmv8OHUmJ+Q8DcwXfyVKGP4+7FM668TQvYm75T4bz++Eu2Hdv9/QPblE2hHNs5cgHXguXgixaC+GMhpDvdvEcoGn5H8II+F//FtQnSdkBf9/3L0Hd6JrFZ2ZR1oJ87MYZ+ZdkFPe9dIRy7uK1F4/0+tCn9TcOn/d96Hxm/C/MUHe4rKw/gfJzZ6LCPGMd76bhhs/rNfae8R/uMkwfxfrS4ek7ZBN14nTlDEN78QICISKHE+ECQg3sVW4HXdWWwH1wJBz+zHuf08G16LK0pXAu+WV0/e+LK/LPpOy1aFu0DJUIIIYRcPyzbFmsBYvQXogxCCCGEkPlkofymS2UtVaihRAghhBBCCCGEEEKuiUX3hpL9+tO5bPbKa205/XagiBGSZWX1u562B1/BdeW0TTGLr+SlM5h+Yz0uX8djhFbk9Ct6WaM+6bQRfufQKLPsjEPZ5nUc62fUp2iYZDNv/sqgnXfoqxw+Oc1ljf61HF7bNq/hME66bxxCSoyHtlfTD1YeM7kc2m2WZWf1K+2W0W4V4uaQp2D0RSGvn92adXYVjDnj1fVVeRyG0mxnJqvnp2W8k2v2gzkXRUQyGWyD0zhJ1uxPh8BjZWMMrlPImxFYbBUdQt7MeW8U7b6Kvso6hBUk0wXDxmFdqusYNg5lm2/uFhzmkbnm5sy14vD6r7lvFM3+FZGMMR+d9hrbWKsZY0/wOsyRrLHmnOaIy8hmOazLghHylsniUWU7nQluY1922Gss47q2be4jevzNPncaf7OsgkPYi/WGy1waN3uh/zWKX3l7x+LkO4nD2jcx900RvWcUHWzyhk3GPHcc1n7R8BnMPeViPkwrv8hhzyu+2f7rdB2H+hXMn4y9KuuwRysc1r4rb54h+Pe2y8F3MobOKeRNt8khdPlN8jj1lXk+5B326LxRVs7JB89hu0yLgtMe7TLPHT2HTf/aMpwycy6K6PFWYy16HuUc/JeCcYC5jfE2fYGL9UGbosM4KX/a8X7FaLdRtlPIW9EIgZKiU4gW2pi+U8Fh2ps+g9N90NX4TuZYmTbmXBQRMZduzmmfM+pj3jOkHSZANvvm95WZApaVdSjbMspWrpLj/MTrmOtLRPv75nwVEXEb4236NG9lXoloH8eyzM1Rj//V7DVmWbbDunyja5cp3ADfiV95uyose8E92l/M0NCQtLZqXRBCCCHkncTg4KC0tLTMezmxWEwqKirkPd1/JB631vy73uQLGXm25/+WaDQq5eVaC5Bcf+g7EUIIuRlYCN9pof0mkaXtOy26N5SamppkcHBQQqGQxONxaW1tlcHBwSXXsUuBWCzG/p1H2L/zD/t4fmH/zg+2bUs8HpemJv1xBkLeCpd8J9u2pa2tjWt2HuG+OL+wf+cX9u/8wv6dP+g7LV4W3QMll8t1+amjZV18ha68vJyLch5h/84v7N/5h308v7B/rz8VFQ5fSZxviraItQAvJTuEVZD55ZLvFItd/GoS1+z8wz6eX9i/8wv7d35h/84PC+47LZTfdKmsJQpFuQkhhBBCCCGEEELINbHo3lAihBBCyDxAUW5CCCGEkKuDotxXxaJ+Q8nv98tnP/tZ8fsXRgzrZoP9O7+wf+cf9vH8wv4lZGnBNTv/sI/nF/bv/ML+nV/Yv+RmZNF95Y0QQggh14/LXyvp+o/icS3AV96KGXn2wn9Zkl8qIYQQQsjNzUL7TSJL23da1G8oEUIIIYQQQgghhJDFBzWUCCGEkJsBaigRQgghhFwd1FC6KviGEiGEEEIIIYQQQgi5JvhAiRBCCCGEEEIIIYRcE4v2gdLXvvY16ezslEAgIFu3bpUXXnjhRldpSfLYY4/JLbfcIqFQSOrq6uShhx6SM2fOgI1t27Jr1y5pamqSYDAo9957r5w4ceIG1Xhp89hjj4llWfLII49c/o39+/YZHh6W//Af/oNUV1dLSUmJbNq0SQ4ePHj579nHb518Pi9/+Zd/KZ2dnRIMBqWrq0s+97nPSbFYvGzD/n2HULQX7g+5IdB3uj7Qd1pY6Dtdf+g3zS/0nW4SFtJvWsK+06J8oPT000/LI488Ip/5zGfk0KFDctddd8kDDzwgAwMDN7pqS449e/bIJz/5Sdm/f7/s3r1b8vm87Ny5U5LJ5GWbL33pS/L444/LV7/6VTlw4IA0NDTI/fffL/F4/AbWfOlx4MAB+cY3viEbNmyA39m/b4/Z2Vm54447xOv1yg9/+EM5efKk/M3f/I2Ew+HLNuzjt84Xv/hF+du//Vv56le/KqdOnZIvfelL8uUvf1m+8pWvXLZh/xKy+KHvdP2g77Rw0He6/tBvmn/oOxFyBcu2F58C1Pbt22XLli3y9a9//fJvq1evloceekgee+yxG1izpc/k5KTU1dXJnj175O677xbbtqWpqUkeeeQR+dM//VMREclkMlJfXy9f/OIX5ROf+MQNrvHSIJFIyJYtW+RrX/uafP7zn5dNmzbJE088wf69DvzZn/2ZvPjiiz/3X9rZx2+PX/qlX5L6+nr5u7/7u8u//eqv/qqUlJTI3//937N/3wFc/vxt28ML8vnbfDEjzw58bUl++nYpQ99p/qDvND/Qd5of6DfNP/Sd3tkstN8ksrR9p0X3hlI2m5WDBw/Kzp074fedO3fKvn37blCt3jlEo1EREamqqhIRkd7eXhkbG4P+9vv9cs8997C/r4FPfvKT8oEPfEDe8573wO/s37fP97//fdm2bZv8+q//utTV1cnmzZvlv/23/3b579nHb48777xTfvKTn8jZs2dFROTIkSOyd+9eef/73y8i7F9ClgL0neYX+k7zA32n+YF+0/xD34mQK3hudAVMpqampFAoSH19PfxeX18vY2NjN6hW7wxs25ZPfepTcuedd8q6detERC73qVN/9/f3L3gdlyLf+c535LXXXpMDBw6ov2P/vn0uXLggX//61+VTn/qU/MVf/IW88sor8h//438Uv98vv/3bv80+fpv86Z/+qUSjUVm1apW43W4pFAryhS98QT784Q+LCOfwO4qF+vzt4nvx+R0Pfaf5g77T/EDfaf6g3zT/0He6SVgov+lSWUuURfdA6RKWZUHatm31G7k2/uAP/kCOHj0qe/fuVX/H/n5rDA4Oyn/6T/9JfvzjH0sgEPi5duzft06xWJRt27bJo48+KiIimzdvlhMnTsjXv/51+e3f/u3Lduzjt8bTTz8t3/72t+Wpp56StWvXyuHDh+WRRx6RpqYm+djHPnbZjv1LyOKH6/T6Q9/p+kPfaX6h3zT/0Hci5AqLLuStpqZG3G63+he1iYkJ9ZSXXD1/+Id/KN///vflpz/9qbS0tFz+vaGhQUSE/f0WOXjwoExMTMjWrVvF4/GIx+ORPXv2yH/5L/9FPB7P5T5k/751GhsbZc2aNfDb6tWrLwvNcg6/Pf7kT/5E/uzP/kx+8zd/U9avXy8f/ehH5Y/+6I8ua66wf99B8Esl71joO80P9J3mB/pO8wv9pvmHvtNNAr/ydlUsugdKPp9Ptm7dKrt374bfd+/eLTt27LhBtVq62LYtf/AHfyD//M//LM8995x0dnbC33d2dkpDQwP0dzablT179rC/r4J3v/vdcuzYMTl8+PDlP9u2bZPf+q3fksOHD0tXVxf7921yxx13qM81nz17Vtrb20WEc/jtkkqlxOXCo8Dtdl/+9C37l5DFD32n6wt9p/mFvtP8Qr9p/qHvRMgVFmXI26c+9Sn56Ec/Ktu2bZPbb79dvvGNb8jAwID8/u///o2u2pLjk5/8pDz11FPyve99T0Kh0OUn5RUVFRIMBsWyLHnkkUfk0Ucfle7ubunu7pZHH31USkpK5CMf+cgNrv3iJxQKXdZUuERpaalUV1df/p39+/b4oz/6I9mxY4c8+uij8hu/8RvyyiuvyDe+8Q35xje+ISLCOfw2efDBB+ULX/iCtLW1ydq1a+XQoUPy+OOPy+/8zu+ICPv3HQU1lN7R0He6ftB3ml/oO80v9Jv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"text/plain": "
" }, "metadata": {} } ], "execution_count": 16 }, { "id": "e2bdcc9f-5fda-4929-b4a4-d3ac1085ba0d", "cell_type": "code", "source": "img.roi", "metadata": { "trusted": true }, "outputs": [ { "execution_count": 5, "output_type": "execute_result", "data": { "text/html": "\n \n\n\n
\n
ImageROI
\n \n \n \n
IndexTitleTypeCoordinates
0ROI00CircularROICenter: (30, 30), R: 20
\n
1 ROI(s)
\n
\n ", "text/plain": "" }, "metadata": {} } ], "execution_count": 5 }, { "id": "4da7c606-52fe-43b4-bd30-b2b29a6d91c0", "cell_type": "code", "source": "img.roi[0]", "metadata": { "trusted": true }, "outputs": [ { "execution_count": 7, "output_type": "execute_result", "data": { "text/html": "CircularROI:
Center (physical):(30, 30)
Radius:20
", "text/plain": "" }, "metadata": {} } ], "execution_count": 7 }, { "id": "5b5691fc-46bf-4ac1-95f9-185e076b9fba", "cell_type": "code", "source": "sigima.proc.image.stats(img)", "metadata": { "trusted": true }, "outputs": [ { "execution_count": 11, "output_type": "execute_result", "data": { "text/html": "\n\nImage statistics:\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n
minmaxmeanmedianstdsnrptpsum
-36.920799.799.529.93.342449.97e+05
ROI 0-36.919899.198.831.33.162351.23e+05
", "text/plain": "TableResult(title='Image statistics', kind=, headers=['min', 'max', 'mean', 'median', 'std', 'snr', 'ptp', 'sum'], data=[[-36.94278201242298, 206.97318261323, 99.7013735869401, 99.48387112566627, 29.881238335365566, 3.3365877433847775, 243.91596462565298, 997013.7358694009], [-36.94278201242298, 198.32161409918808, 99.0967110400125, 98.78147378989428, 31.34231863604159, 3.161754310226999, 235.26439611161106, 123375.40524481556]], roi_indices=[-1, 0], func_name='stats', attrs={})" }, "metadata": {} } ], "execution_count": 11 } ] }Sigima-1.1.1/pip_list.txt000066400000000000000000000107541514013333200153110ustar00rootroot00000000000000Package Version ----------------------------- ------------ accessible-pygments 0.0.4 alabaster 0.7.16 altgraph 0.17.4 annotated-types 0.6.0 astroid 3.3.9 attrs 23.1.0 Babel 2.14.0 beautifulsoup4 4.12.2 build 1.2.2.post1 cattrs 23.2.3 certifi 2023.11.17 charset-normalizer 3.3.2 click 8.1.7 colorama 0.4.6 coverage 7.8.2 dill 0.3.7 doc8 1.1.2 docutils 0.20.1 esbonio 0.16.5 guidata 3.9.0 h5py 3.10.0 id 1.5.0 idna 3.6 imageio 2.33.1 imagesize 1.4.1 importlib-metadata 7.0.1 iniconfig 2.0.0 isort 5.13.2 jaraco.classes 3.3.0 Jinja2 3.1.2 keyring 24.3.0 lazy_loader 0.4 lsprotocol 2023.0.0 markdown-it-py 3.0.0 MarkupSafe 2.1.3 mccabe 0.7.0 mdit-py-plugins 0.4.2 mdurl 0.1.2 more-itertools 10.1.0 msvc-runtime 14.36.32532 mypy-extensions 1.0.0 myst-parser 4.0.1 networkx 3.2.1 nh3 0.2.15 numpy 1.26.2 opencv-python-headless 4.11.0.86 packaging 25.0 pandas 2.3.0 pathspec 0.12.1 pbr 6.0.0 pefile 2023.2.7 Pillow 10.1.0 pip 25.1.1 pkginfo 1.9.6 platformdirs 4.1.0 PlotPy 2.7.4 pluggy 1.5.0 psutil 7.0.0 pycodestyle 2.13.0 pydantic 2.5.3 pydantic_core 2.14.6 pydata-sphinx-theme 0.16.1 pygls 1.2.1 Pygments 2.17.2 pyinstaller 6.14.0 pyinstaller-hooks-contrib 2025.4 pylint 3.3.7 pyproject_hooks 1.0.0 PyQt5 5.15.11 PyQt5-Qt5 5.15.2 PyQt5_sip 12.15.0 pyspellchecker 0.7.3 pytest 8.4.0 pytest-xvfb 3.1.1 python-dateutil 2.9.0.post0 PythonQwt 0.14.5 pytz 2024.1 PyVirtualDisplay 3.0 PyWavelets 1.8.0 pywin32-ctypes 0.2.2 PyYAML 6.0.1 QtPy 2.4.1 readme-renderer 42.0 requests 2.31.0 requests-toolbelt 1.0.0 restructuredtext-lint 1.4.0 rfc3986 2.0.0 rich 13.7.0 roman-numerals-py 3.1.0 rstcheck 6.2.5 rstcheck-core 1.2.0 ruff 0.11.13 scikit-image 0.25.2 scipy 1.11.4 setuptools 68.2.2 shellingham 1.5.4 six 1.16.0 snowballstemmer 2.2.0 soupsieve 2.5 Sphinx 8.2.3 sphinx-copybutton 0.5.2 sphinx_design 0.6.1 sphinx-intl 2.3.1 sphinx-sitemap 2.6.0 sphinxcontrib-applehelp 1.0.7 sphinxcontrib-devhelp 2.0.0 sphinxcontrib-htmlhelp 2.1.0 sphinxcontrib-jsmath 1.0.1 sphinxcontrib-qthelp 1.0.6 sphinxcontrib-serializinghtml 1.1.9 sqlite-bro 0.12.2 stevedore 5.1.0 tifffile 2023.12.9 tomli 2.0.1 tomlkit 0.12.3 twine 6.1.0 typer 0.12.3 typing_extensions 4.9.0 tzdata 2024.1 urllib3 2.1.0 wheel 0.40.0 winpython 7.0.20231126 zipp 3.17.0 Sigima-1.1.1/pyproject.toml000066400000000000000000000106721514013333200156400ustar00rootroot00000000000000# Sigima setup configuration file [project] name = "sigima" authors = [{ name = "Pierre Raybaut", email = "p.raybaut@codra.fr" }] maintainers = [ { name = "DataLab Platform Developers", email = "p.raybaut@codra.fr" }, ] description = "Scientific computing engine for 1D signals and 2D images, part of the DataLab open-source platform." readme = "README.md" license = { file = "LICENSE" } classifiers = [ "Development Status :: 5 - Production/Stable", "Intended Audience :: Developers", "Intended Audience :: Education", "Intended Audience :: Science/Research", "Intended Audience :: End Users/Desktop", "Operating System :: MacOS :: MacOS X", "Operating System :: Microsoft :: Windows :: Windows 7", "Operating System :: Microsoft :: Windows :: Windows 8", "Operating System :: Microsoft :: Windows :: Windows 10", "Operating System :: Microsoft :: Windows :: Windows 11", "Operating System :: POSIX :: Linux", "Programming Language :: Python :: 3.9", "Programming Language :: Python :: 3.10", "Programming Language :: Python :: 3.11", "Programming Language :: Python :: 3.12", "Programming Language :: Python :: 3.13", "Topic :: Scientific/Engineering", "Topic :: Scientific/Engineering :: Image Processing", "Topic :: Software Development :: Libraries :: Python Modules", ] requires-python = ">=3.9, <4" dependencies = [ "guidata >= 3.13", "NumPy >= 1.22, < 2.5", "SciPy >= 1.10.1, < 1.17", "scikit-image >= 0.19.2, < 0.27", "pandas >= 1.4, < 3.0", "PyWavelets >= 1.2, < 2.0", "packaging >= 21.3", "typing-extensions >= 4.0", "makefun >= 1.13.1", ] dynamic = ["version"] [build-system] requires = ["setuptools"] build-backend = "setuptools.build_meta" [project.urls] Homepage = "https://github.com/DataLab-Platform/Sigima" Documentation = "https://sigima.readthedocs.io/" [project.optional-dependencies] opencv = ["opencv-python-headless >= 4.8.1.78"] dev = ["build", "babel","ruff", "pylint", "Coverage", "pre-commit"] doc = [ "sphinx", "sphinx-gallery", "sphinx_intl", "myst_parser", "myst-nb", "sphinx_design", "sphinx-copybutton", "pydata-sphinx-theme", "qtpy", "PyQt5", "plotpy", "matplotlib", "opencv-python-headless >= 4.8.1.78", ] test = ["pytest", "pytest-xvfb"] qt = ["qtpy", "PyQt5", "plotpy"] [tool.setuptools.packages.find] include = ["sigima*"] [tool.setuptools.package-data] "*" = [ "*.pdf", "*.png", "*.svg", "*.mo", "*.txt", "*.json", "*_test.h5", "*.h5ima", "*.h5sig", "*.npy", "*.dcm", "*.scor-data", "*.tiff", "*.jpg", "*.sif", "*.csv", "*.mca", "*.mat", "*.js", "*.css", "*.html", "*.buildinfo", "*.inv", ] [tool.setuptools.dynamic] version = { attr = "sigima.__version__" } [tool.pytest.ini_options] addopts = "sigima --import-mode=importlib" filterwarnings = [ # Ignore specific deprecation warnings from external libraries "ignore::DeprecationWarning:pandas.*", "ignore::DeprecationWarning:scipy.*", "ignore::DeprecationWarning:skimage.*", # Ignore specific user warnings from Sigima (expected behavior) "ignore:Multiple crossing points found. Returning last.:UserWarning:sigima.*", ] [tool.ruff] exclude = [".git", ".vscode", "build", "dist", "*.ipynb"] line-length = 88 # Same as Black. indent-width = 4 # Same as Black. target-version = "py39" # Assume Python 3.9. [tool.ruff.lint] # all rules can be found here: https://beta.ruff.rs/docs/rules/ select = [ "D202", # No blank lines allowed after function docstring. "D403", # First word of docstring should be properly capitalized. "E", # Pycodestyle error "F", # Pyflakes "I", # Isort "NPY201", # Numpy-specific checks "RUF022", # Unsorted __all__ "W" # Pycodestyle warning ] ignore = [ "E203", # space before : (needed for how black formats slicing) ] [tool.ruff.format] quote-style = "double" # Like Black, use double quotes for strings. indent-style = "space" # Like Black, indent with spaces, rather than tabs. skip-magic-trailing-comma = false # Like Black, respect magic trailing commas. line-ending = "auto" # Like Black, automatically detect the appropriate line ending. 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"""Run a command with environment variables loaded from a .env file.""" from __future__ import annotations import os import subprocess import sys from pathlib import Path def load_env_file(env_path: str | None = None) -> None: """Load environment variables from a .env file.""" if env_path is None: # Get ".eenv" file from the current directory env_path = Path.cwd() / ".env" if not Path(env_path).is_file(): raise FileNotFoundError(f"Environment file not found: {env_path}") print(f"Loading environment variables from: {env_path}") with open(env_path, encoding="utf-8") as f: for line in f: line = line.strip() if not line or line.startswith("#") or "=" not in line: continue key, value = line.split("=", 1) os.environ[key.strip()] = value.strip() print(f" Loaded variable: {key.strip()}={value.strip()}") def execute_command(command: list[str]) -> int: """Execute a command with the loaded environment variables.""" print("Executing command:") print(" ".join(command)) print("") result = subprocess.call(command) print(f"Process exited with code {result}") return result def main() -> None: """Main function to load environment variables and execute a command.""" if len(sys.argv) < 2: print("Usage: python run_with_env.py [args ...]") sys.exit(1) print("🏃 Running with environment variables") load_env_file() return execute_command(sys.argv[1:]) if __name__ == "__main__": main() Sigima-1.1.1/sigima/000077500000000000000000000000001514013333200141675ustar00rootroot00000000000000Sigima-1.1.1/sigima/__init__.py000066400000000000000000000072371514013333200163110ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """ Sigima ====== Sigima is a scientific computing engine for 1D signals and 2D images. It provides a set of tools for image and signal processing, including denoising, segmentation, and restoration. It is designed to be used in scientific and research applications. It is a part of the DataLab Platform, which aims at providing a comprehensive set of tools for data analysis and visualization, around the DataLab application. """ # TODO: Use `numpy.typing.NDArray` for more precise type annotations once NumPy >= 1.21 # can be safely required (e.g. after raising the minimum required version of # scikit-image to >= 0.19). __all__ = [ "NO_ROI", "Checkerboard2DParam", "CircularROI", "ExponentialParam", "Gauss2DParam", "GaussParam", "GeometryResult", "ImageDatatypes", "ImageObj", "ImageROI", "ImageTypes", "KindShape", "LinearChirpParam", "LogisticParam", "LorentzParam", "NormalDistribution1DParam", "NormalDistribution2DParam", "PlanckParam", "PolygonalROI", "ROI1DParam", "ROI2DParam", "Ramp2DParam", "RectangularROI", "Ring2DParam", "SegmentROI", "SiemensStar2DParam", "SignalObj", "SignalROI", "SignalTypes", "SimpleBaseProxy", "SimpleRemoteProxy", "Sinc2DParam", "SinusoidalGrating2DParam", "StepParam", "TableResult", "TypeObj", "TypeROI", "UniformDistribution1DParam", "UniformDistribution2DParam", "VoigtParam", "calc_table_from_data", "create_image", "create_image_from_param", "create_image_parameters", "create_image_roi", "create_image_roi_around_points", "create_signal", "create_signal_from_param", "create_signal_parameters", "create_signal_roi", "read_image", "read_images", "read_signal", "read_signals", "write_image", "write_signal", ] from guidata.config import ValidationMode, set_validation_mode from sigima.client import SimpleBaseProxy, SimpleRemoteProxy from sigima.io import ( read_image, read_images, read_signal, read_signals, write_image, write_signal, ) from sigima.objects import ( NO_ROI, Checkerboard2DParam, CircularROI, ExponentialParam, Gauss2DParam, GaussParam, GeometryResult, ImageDatatypes, ImageObj, ImageROI, ImageTypes, KindShape, LinearChirpParam, LogisticParam, LorentzParam, NormalDistribution1DParam, NormalDistribution2DParam, PlanckParam, PolygonalROI, Ramp2DParam, RectangularROI, Ring2DParam, ROI1DParam, ROI2DParam, SegmentROI, SiemensStar2DParam, SignalObj, SignalROI, SignalTypes, Sinc2DParam, SinusoidalGrating2DParam, StepParam, TableResult, TypeObj, TypeROI, UniformDistribution1DParam, UniformDistribution2DParam, VoigtParam, calc_table_from_data, create_image, create_image_from_param, create_image_parameters, create_image_roi, create_image_roi_around_points, create_signal, create_signal_from_param, create_signal_parameters, create_signal_roi, ) # Set validation mode to ENABLED by default (issue warnings for invalid inputs) set_validation_mode(ValidationMode.ENABLED) __version__ = "1.1.1" __docurl__ = "https://sigima.readthedocs.io/" __homeurl__ = "https://github.com/DataLab-Platform/Sigima" __supporturl__ = "https://github.com/DataLab-Platform/sigima/issues/new/choose" # Dear (Debian, RPM, ...) package makers, please feel free to customize the # following path to module's data (images) and translations: DATAPATH = LOCALEPATH = "" Sigima-1.1.1/sigima/client/000077500000000000000000000000001514013333200154455ustar00rootroot00000000000000Sigima-1.1.1/sigima/client/__init__.py000066400000000000000000000065411514013333200175640ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """ DataLab Client (:mod:`sigima.client`) ------------------------------------- The `sigima.client` module provides a proxy to DataLab application through XML-RPC protocol. DataLab may be controlled remotely using the `XML-RPC`_ protocol which is natively supported by Python (and many other languages). Remote controlling allows to access DataLab main features from a separate process. From an IDE ^^^^^^^^^^^ DataLab may be controlled remotely from an IDE (e.g. `Spyder`_ or any other IDE, or even a Jupyter Notebook) that runs a Python script. It allows to connect to a running DataLab instance, adds a signal and an image, and then runs calculations. This feature is exposed by the `sigima.client.SimpleRemoteProxy` class. From a third-party application ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ DataLab may also be controlled remotely from a third-party application, for the same purpose. If the third-party application is written in Python 3, it may directly use :py:class:`cdlclient.SimpleRemoteProxy` as mentioned above. From another language, it is also achievable, but it requires to implement a XML-RPC client in this language using the same methods of proxy server as in the :py:class:`cdlclient.SimpleRemoteProxy` class. Data (signals and images) may also be exchanged between DataLab and the remote client application, in both directions. The remote client application may be run on the same computer as DataLab or on different computer. In the latter case, the remote client application must know the IP address of the computer running DataLab. The remote client application may be run before or after DataLab. In the latter case, the remote client application must try to connect to DataLab until it succeeds. Supported features ^^^^^^^^^^^^^^^^^^ Supported features are the following: - Switch to signal or image panel - Remove all signals and images - Save current session to a HDF5 file - Open HDF5 files into current session - Browse HDF5 file - Open a signal or an image from file - Add a signal - Add an image - Get object list - Run calculation with parameters Example ^^^^^^^ Here is an example in Python 3 of a script that connects to a running DataLab instance, adds a signal and an image, and then runs calculations (the cell structure of the script make it convenient to be used in `Spyder`_ IDE): .. literalinclude:: ../examples/features/datalab_client.py Additional features ^^^^^^^^^^^^^^^^^^^ For simple remote controlling, :py:class:`sigima.client.SimpleRemoteProxy` may be used. For more advanced remote controlling, the `datalab.control.proxy.RemoteProxy` class provided by the DataLab package may be used. See DataLab documentation for more details about the ``datalab.control.proxy.RemoteProxy`` class (on the section "Remote control"). .. _XML-RPC: https://docs.python.org/3/library/xmlrpc.html .. _Spyder: https://www.spyder-ide.org/ API ^^^ Remote client ~~~~~~~~~~~~~ .. autoclass:: sigima.client.remote.SimpleRemoteProxy :members: Base proxy ~~~~~~~~~~ .. autoclass:: sigima.client.base.SimpleBaseProxy :members: """ from sigima.client.base import SimpleBaseProxy from sigima.client.remote import SimpleRemoteProxy __all__ = ["SimpleBaseProxy", "SimpleRemoteProxy"] # TODO: Refactor the `sigima.client` with `datalab.base` and `datalab.control.remote` Sigima-1.1.1/sigima/client/base.py000066400000000000000000000647441514013333200167500ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """ DataLab Client base proxy module -------------------------------- """ from __future__ import annotations import abc from collections.abc import Callable from typing import TYPE_CHECKING import guidata.dataset as gds import numpy as np if TYPE_CHECKING: from collections.abc import Iterator from sigima.client.remote import ServerProxy from sigima.objects import ImageObj, SignalObj class SimpleAbstractDLControl(abc.ABC): """Simple abstract base class for controlling DataLab This is a subset of DataLab's AbstractDLControl, with only the methods that do not require DataLab object model to be implemented.""" def __len__(self) -> int: """Return number of objects""" return len(self.get_object_uuids()) def __getitem__( self, nb_id_title: int | str | None = None, ) -> SignalObj | ImageObj: """Return object""" return self.get_object(nb_id_title) def __iter__(self) -> Iterator[SignalObj | ImageObj]: """Iterate over objects""" uuids = self.get_object_uuids() for uuid in uuids: yield self.get_object(uuid) def __str__(self) -> str: """Return object string representation""" return super().__repr__() def __repr__(self) -> str: """Return object representation""" titles = self.get_object_titles() uuids = self.get_object_uuids() text = f"{str(self)} (DataLab, {len(titles)} items):\n" for uuid, title in zip(uuids, titles): text += f" {uuid}: {title}\n" return text def __bool__(self) -> bool: """Return True if model is not empty""" return bool(self.get_object_uuids()) def __contains__(self, id_title: str) -> bool: """Return True if object (UUID or title) is in model""" return id_title in (self.get_object_titles() + self.get_object_uuids()) @classmethod def get_public_methods(cls) -> list[str]: """Return all public methods of the class, except itself. Returns: list[str]: List of public methods """ return [ method for method in dir(cls) if not method.startswith("_") and method != "get_public_methods" ] @abc.abstractmethod def get_version(self) -> str: """Return DataLab version. Returns: str: DataLab version """ @abc.abstractmethod def close_application(self) -> None: """Close DataLab application""" @abc.abstractmethod def raise_window(self) -> None: """Raise DataLab window""" @abc.abstractmethod def get_current_panel(self) -> str: """Return current panel name. Returns: str: Panel name (valid values: "signal", "image", "macro")) """ @abc.abstractmethod def set_current_panel(self, panel: str) -> None: """Switch to panel. Args: panel (str): Panel name (valid values: "signal", "image", "macro")) """ @abc.abstractmethod def reset_all(self) -> None: """Reset all application data""" @abc.abstractmethod def toggle_auto_refresh(self, state: bool) -> None: """Toggle auto refresh state. Args: state (bool): Auto refresh state """ @abc.abstractmethod def toggle_show_titles(self, state: bool) -> None: """Toggle show titles state. Args: state (bool): Show titles state """ @abc.abstractmethod def save_to_h5_file(self, filename: str) -> None: """Save to a DataLab HDF5 file. Args: filename (str): HDF5 file name """ @abc.abstractmethod def open_h5_files( self, h5files: list[str] | None = None, import_all: bool | None = None, reset_all: bool | None = None, ) -> None: """Open a DataLab HDF5 file or import from any other HDF5 file. Args: h5files (list[str] | None): List of HDF5 files to open. Defaults to None. import_all (bool | None): Import all objects from HDF5 files. Defaults to None. reset_all (bool | None): Reset all application data. Defaults to None. """ @abc.abstractmethod def import_h5_file(self, filename: str, reset_all: bool | None = None) -> None: """Open DataLab HDF5 browser to Import HDF5 file. Args: filename (str): HDF5 file name reset_all (bool | None): Reset all application data. Defaults to None. """ @abc.abstractmethod def load_h5_workspace( self, h5files: list[str] | str, reset_all: bool = True ) -> None: """Load HDF5 workspace files without showing file dialog. This method loads one or more DataLab native HDF5 files directly, bypassing the file dialog. It is safe to call from the internal console or any context where Qt dialogs would cause threading issues. Args: h5files: Path(s) to HDF5 file(s). Can be a single path string or a list of paths. reset_all: If True (default), reset workspace before loading. If False, append to existing workspace. Raises: ValueError: if file is not a DataLab native HDF5 file """ @abc.abstractmethod def save_h5_workspace(self, filename: str) -> None: """Save workspace to HDF5 file without showing file dialog. This method saves the current workspace to a DataLab native HDF5 file directly, bypassing the file dialog. It is safe to call from the internal console or any context where Qt dialogs would cause threading issues. Args: filename: Path to the output HDF5 file """ @abc.abstractmethod def load_from_files(self, filenames: list[str]) -> None: """Open objects from files in current panel (signals/images). Args: filenames: list of file names """ @abc.abstractmethod def add_signal( self, title: str, xdata: np.ndarray, ydata: np.ndarray, xunit: str | None = None, yunit: str | None = None, xlabel: str | None = None, ylabel: str | None = None, ) -> bool: # pylint: disable=too-many-arguments """Add signal data to DataLab. Args: title (str): Signal title xdata (numpy.ndarray): X data ydata (numpy.ndarray): Y data xunit (str | None): X unit. Defaults to None. yunit (str | None): Y unit. Defaults to None. xlabel (str | None): X label. Defaults to None. ylabel (str | None): Y label. Defaults to None. Returns: bool: True if signal was added successfully, False otherwise Raises: ValueError: Invalid xdata dtype ValueError: Invalid ydata dtype """ @abc.abstractmethod # pylint: disable=too-many-arguments def add_image( self, title: str, data: np.ndarray, xunit: str | None = None, yunit: str | None = None, zunit: str | None = None, xlabel: str | None = None, ylabel: str | None = None, zlabel: str | None = None, ) -> bool: """Add image data to DataLab. Args: title (str): Image title data (numpy.ndarray): Image data xunit (str | None): X unit. Defaults to None. yunit (str | None): Y unit. Defaults to None. zunit (str | None): Z unit. Defaults to None. xlabel (str | None): X label. Defaults to None. ylabel (str | None): Y label. Defaults to None. zlabel (str | None): Z label. Defaults to None. Returns: bool: True if image was added successfully, False otherwise Raises: ValueError: Invalid data dtype """ @abc.abstractmethod def add_object( self, obj: SignalObj | ImageObj, group_id: str = "", set_current: bool = True ) -> None: """Add object to DataLab. Args: obj: Signal or image object group_id: group id in which to add the object. Defaults to "" set_current: if True, set the added object as current Returns: True if object was added successfully, False otherwise """ @abc.abstractmethod def load_from_directory(self, path: str) -> None: """Open objects from directory in current panel (signals/images). Args: path: directory path """ @abc.abstractmethod def add_group( self, title: str, panel: str | None = None, select: bool = False ) -> None: """Add group to DataLab. Args: title: Group title panel: Panel name (valid values: "signal", "image"). Defaults to None. select: Select the group after creation. Defaults to False. """ @abc.abstractmethod def get_sel_object_uuids(self, include_groups: bool = False) -> list[str]: """Return selected objects uuids. Args: include_groups: If True, also return objects from selected groups. Returns: List of selected objects uuids. """ @abc.abstractmethod def select_objects( self, selection: list[int | str], panel: str | None = None, ) -> None: """Select objects in current panel. Args: selection: List of object numbers (1 to N) or uuids to select panel: panel name (valid values: "signal", "image"). If None, current panel is used. Defaults to None. """ @abc.abstractmethod def select_groups( self, selection: list[int | str] | None = None, panel: str | None = None ) -> None: """Select groups in current panel. Args: selection: List of group numbers (1 to N), or list of group uuids, or None to select all groups. Defaults to None. panel (str | None): panel name (valid values: "signal", "image"). If None, current panel is used. Defaults to None. """ @abc.abstractmethod def delete_metadata( self, refresh_plot: bool = True, keep_roi: bool = False ) -> None: """Delete metadata of selected objects Args: refresh_plot: Refresh plot. Defaults to True. keep_roi: Keep ROI. Defaults to False. """ @abc.abstractmethod def get_group_titles_with_object_info( self, ) -> tuple[list[str], list[list[str]], list[list[str]]]: """Return groups titles and lists of inner objects uuids and titles. Returns: Tuple: groups titles, lists of inner objects uuids and titles """ @abc.abstractmethod def get_object_titles(self, panel: str | None = None) -> list[str]: """Get object (signal/image) list for current panel. Objects are sorted by group number and object index in group. Args: panel: panel name (valid values: "signal", "image", "macro"). If None, current data panel is used (i.e. signal or image panel). Returns: List of object titles Raises: ValueError: if panel not found """ @abc.abstractmethod def get_object( self, nb_id_title: int | str | None = None, panel: str | None = None, ) -> SignalObj | ImageObj: """Get object (signal/image) from index. Args: nb_id_title: Object number, or object id, or object title. Defaults to None (current object). panel: Panel name. Defaults to None (current panel). Returns: Object Raises: KeyError: if object not found """ @abc.abstractmethod def get_object_uuids( self, panel: str | None = None, group: int | str | None = None ) -> list[str]: """Get object (signal/image) uuid list for current panel. Objects are sorted by group number and object index in group. Args: panel: panel name (valid values: "signal", "image"). If None, current panel is used. group: Group number, or group id, or group title. Defaults to None (all groups). Returns: List of object uuids Raises: ValueError: if panel not found """ @abc.abstractmethod def get_object_shapes( self, nb_id_title: int | str | None = None, panel: str | None = None, ) -> list: """Get plot item shapes associated to object (signal/image). Args: nb_id_title: Object number, or object id, or object title. Defaults to None (current object). panel: Panel name. Defaults to None (current panel). Returns: List of plot item shapes """ @abc.abstractmethod def add_annotations_from_items( self, items: list, refresh_plot: bool = True, panel: str | None = None ) -> None: """Add object annotations (annotation plot items). Args: items (list): annotation plot items refresh_plot (bool | None): refresh plot. Defaults to True. panel (str | None): panel name (valid values: "signal", "image"). If None, current panel is used. """ @abc.abstractmethod def add_label_with_title( self, title: str | None = None, panel: str | None = None ) -> None: """Add a label with object title on the associated plot Args: title (str | None): Label title. Defaults to None. If None, the title is the object title. panel (str | None): panel name (valid values: "signal", "image"). If None, current panel is used. """ @abc.abstractmethod def run_macro(self, number_or_title: int | str | None = None) -> None: """Run macro. Args: number: Number of the macro (starting at 1). Defaults to None (run current macro, or does nothing if there is no macro). """ @abc.abstractmethod def stop_macro(self, number_or_title: int | str | None = None) -> None: """Stop macro. Args: number: Number of the macro (starting at 1). Defaults to None (stop current macro, or does nothing if there is no macro). """ @abc.abstractmethod def import_macro_from_file(self, filename: str) -> None: """Import macro from file Args: filename: Filename. """ @abc.abstractmethod def calc(self, name: str, param: gds.DataSet | None = None) -> None: """Call compute function ``name`` in current panel's processor. Args: name: Compute function name param: Compute function parameter. Defaults to None. Raises: ValueError: unknown function """ def __getattr__(self, name: str) -> Callable: """Return compute function ``name`` in current panel's processor. Args: name (str): Compute function name Returns: Callable: Compute function Raises: AttributeError: If compute function ``name`` does not exist """ def compute_func(param: gds.DataSet | None = None) -> gds.DataSet: """Compute function. Args: param (guidata.dataset.DataSet | None): Compute function parameter. Defaults to None. Returns: guidata.dataset.DataSet: Compute function result """ return self.calc(name, param) if name.startswith("compute_"): return compute_func raise AttributeError(f"DataLab has no compute function '{name}'") class SimpleBaseProxy(SimpleAbstractDLControl, metaclass=abc.ABCMeta): """Simple common base class for DataLab proxies This is a subset of DataLab's BaseProxy, with only the methods that do not require DataLab object model to be implemented. Args: datalab (DLMainWindow | ServerProxy | None): DLMainWindow instance or ServerProxy instance. If None, then the proxy implementation will have to set it later (e.g. see SimpleRemoteProxy). """ def __init__(self, datalab: ServerProxy | None = None) -> None: self._datalab = datalab def get_version(self) -> str: """Return DataLab version. Returns: str: DataLab version """ return self._datalab.get_version() def close_application(self) -> None: """Close DataLab application""" self._datalab.close_application() def raise_window(self) -> None: """Raise DataLab window""" self._datalab.raise_window() def get_current_panel(self) -> str: """Return current panel name. Returns: str: Panel name (valid values: "signal", "image", "macro")) """ return self._datalab.get_current_panel() def set_current_panel(self, panel: str) -> None: """Switch to panel. Args: panel (str): Panel name (valid values: "signal", "image", "macro")) """ self._datalab.set_current_panel(panel) def reset_all(self) -> None: """Reset all application data""" self._datalab.reset_all() def toggle_auto_refresh(self, state: bool) -> None: """Toggle auto refresh state. Args: state (bool): Auto refresh state """ self._datalab.toggle_auto_refresh(state) # Returns a context manager to temporarily disable autorefresh def context_no_refresh(self) -> Callable: """Return a context manager to temporarily disable auto refresh. Returns: Context manager Example: >>> with proxy.context_no_refresh(): ... proxy.add_image("image1", data1) ... proxy.compute_fft() ... proxy.compute_wiener() ... proxy.compute_ifft() ... # Auto refresh is disabled during the above operations """ class NoRefreshContextManager: """Context manager to temporarily disable auto refresh""" def __init__(self, datalab: SimpleAbstractDLControl) -> None: self._datalab = datalab def __enter__(self) -> None: self._datalab.toggle_auto_refresh(False) def __exit__(self, exc_type, exc_value, traceback) -> None: self._datalab.toggle_auto_refresh(True) return NoRefreshContextManager(self) def toggle_show_titles(self, state: bool) -> None: """Toggle show titles state. Args: state (bool): Show titles state """ self._datalab.toggle_show_titles(state) def save_to_h5_file(self, filename: str) -> None: """Save to a DataLab HDF5 file. Args: filename (str): HDF5 file name """ self._datalab.save_to_h5_file(filename) def open_h5_files( self, h5files: list[str] | None = None, import_all: bool | None = None, reset_all: bool | None = None, ) -> None: """Open a DataLab HDF5 file or import from any other HDF5 file. Args: h5files (list[str] | None): List of HDF5 files to open. Defaults to None. import_all (bool | None): Import all objects from HDF5 files. Defaults to None. reset_all (bool | None): Reset all application data. Defaults to None. """ self._datalab.open_h5_files(h5files, import_all, reset_all) def import_h5_file(self, filename: str, reset_all: bool | None = None) -> None: """Open DataLab HDF5 browser to Import HDF5 file. Args: filename (str): HDF5 file name reset_all (bool | None): Reset all application data. Defaults to None. """ self._datalab.import_h5_file(filename, reset_all) def load_h5_workspace( self, h5files: list[str] | str, reset_all: bool = True ) -> None: """Load HDF5 workspace files without showing file dialog. This method loads one or more DataLab native HDF5 files directly, bypassing the file dialog. It is safe to call from the internal console or any context where Qt dialogs would cause threading issues. Args: h5files: Path(s) to HDF5 file(s). Can be a single path string or a list of paths. reset_all: If True (default), reset workspace before loading. If False, append to existing workspace. Raises: ValueError: if file is not a DataLab native HDF5 file """ if isinstance(h5files, str): h5files = [h5files] self._datalab.load_h5_workspace(h5files, reset_all) def save_h5_workspace(self, filename: str) -> None: """Save workspace to HDF5 file without showing file dialog. This method saves the current workspace to a DataLab native HDF5 file directly, bypassing the file dialog. It is safe to call from the internal console or any context where Qt dialogs would cause threading issues. Args: filename: Path to the output HDF5 file """ self._datalab.save_h5_workspace(filename) def load_from_files(self, filenames: list[str]) -> None: """Open objects from files in current panel (signals/images). Args: filenames: list of file names """ self._datalab.load_from_files(filenames) def add_group( self, title: str, panel: str | None = None, select: bool = False ) -> None: """Add group to DataLab. Args: title: Group title panel: Panel name (valid values: "signal", "image"). Defaults to None. select: Select the group after creation. Defaults to False. """ self._datalab.add_group(title, panel, select) def get_sel_object_uuids(self, include_groups: bool = False) -> list[str]: """Return selected objects uuids. Args: include_groups: If True, also return objects from selected groups. Returns: List of selected objects uuids. """ return self._datalab.get_sel_object_uuids(include_groups) def select_objects( self, selection: list[int | str], panel: str | None = None, ) -> None: """Select objects in current panel. Args: selection: List of object numbers (1 to N) or uuids to select panel: panel name (valid values: "signal", "image"). If None, current panel is used. Defaults to None. """ self._datalab.select_objects(selection, panel) def select_groups( self, selection: list[int | str] | None = None, panel: str | None = None ) -> None: """Select groups in current panel. Args: selection: List of group numbers (1 to N), or list of group uuids, or None to select all groups. Defaults to None. panel (str | None): panel name (valid values: "signal", "image"). If None, current panel is used. Defaults to None. """ self._datalab.select_groups(selection, panel) def delete_metadata( self, refresh_plot: bool = True, keep_roi: bool = False ) -> None: """Delete metadata of selected objects Args: refresh_plot: Refresh plot. Defaults to True. keep_roi: Keep ROI. Defaults to False. """ self._datalab.delete_metadata(refresh_plot, keep_roi) def get_group_titles_with_object_info( self, ) -> tuple[list[str], list[list[str]], list[list[str]]]: """Return groups titles and lists of inner objects uuids and titles. Returns: Tuple: groups titles, lists of inner objects uuids and titles """ return self._datalab.get_group_titles_with_object_info() def get_object_titles(self, panel: str | None = None) -> list[str]: """Get object (signal/image) list for current panel. Objects are sorted by group number and object index in group. Args: panel: panel name (valid values: "signal", "image", "macro"). If None, current data panel is used (i.e. signal or image panel). Returns: List of object titles Raises: ValueError: if panel not found """ return self._datalab.get_object_titles(panel) def get_object_uuids( self, panel: str | None = None, group: int | str | None = None ) -> list[str]: """Get object (signal/image) uuid list for current panel. Objects are sorted by group number and object index in group. Args: panel: panel name (valid values: "signal", "image"). If None, current panel is used. group: Group number, or group id, or group title. Defaults to None (all groups). Returns: List of object uuids Raises: ValueError: if panel not found """ return self._datalab.get_object_uuids(panel, group) def add_label_with_title( self, title: str | None = None, panel: str | None = None ) -> None: """Add a label with object title on the associated plot Args: title (str | None): Label title. Defaults to None. If None, the title is the object title. panel (str | None): panel name (valid values: "signal", "image"). If None, current panel is used. """ self._datalab.add_label_with_title(title, panel) def run_macro(self, number_or_title: int | str | None = None) -> None: """Run macro. Args: number: Number of the macro (starting at 1). Defaults to None (run current macro, or does nothing if there is no macro). """ self._datalab.run_macro(number_or_title) def stop_macro(self, number_or_title: int | str | None = None) -> None: """Stop macro. Args: number: Number of the macro (starting at 1). Defaults to None (stop current macro, or does nothing if there is no macro). """ self._datalab.stop_macro(number_or_title) def import_macro_from_file(self, filename: str) -> None: """Import macro from file Args: filename: Filename. """ return self._datalab.import_macro_from_file(filename) Sigima-1.1.1/sigima/client/remote.py000066400000000000000000000377661514013333200173350ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """ Sigima Client Remote Control ---------------------------- This module provides utilities to control DataLab from a Python script (e.g. with Spyder) or from a Jupyter notebook. The :class:`SimpleRemoteProxy` class provides the main interface to DataLab XML-RPC server. """ from __future__ import annotations import configparser as cp import json import os import os.path as osp import sys import time import warnings from xmlrpc.client import ServerProxy import guidata.dataset as gds import numpy as np from guidata.env import execenv from guidata.io import JSONReader, JSONWriter from guidata.userconfig import get_config_basedir from packaging.version import Version from sigima.client.base import SimpleBaseProxy from sigima.client.utils import ( array_to_rpcbinary, dataset_to_rpcjson, rpcjson_to_dataset, ) from sigima.objects import ImageObj, SignalObj # pylint: disable=invalid-name # Allows short reference names like x, y, ... # pylint: disable=duplicate-code __required_server_version__ = "1.0.0" # Minimum required DataLab server version XMLRPCPORT_ENV = "DATALAB_XMLRPCPORT" def get_xmlrpcport_from_env() -> int | None: """Get XML-RPC port number from environment variable.""" try: return int(os.environ.get(XMLRPCPORT_ENV)) except (TypeError, ValueError): return None def get_cdl_xmlrpc_port(): """Return DataLab current XML-RPC port. This function attempts to read the XML-RPC port from DataLab's configuration file. It first tries the versioned configuration folders (starting with the latest version), and falls back to the legacy .DataLab folder for backward compatibility with DataLab v0.x. Returns: str: XML-RPC port number Raises: ConnectionRefusedError: DataLab has not yet been executed or configuration file is not accessible """ if sys.platform == "win32" and "HOME" in os.environ: os.environ.pop("HOME") # Avoid getting old WinPython settings dir config_basedir = get_config_basedir() # List of configuration folders to try, in order of preference # Try versioned folders first (v3, v2, v1), then legacy .DataLab config_folders = [ (".DataLab_v3", "DataLab_v3.ini"), # Future versions (".DataLab_v2", "DataLab_v2.ini"), (".DataLab_v1", "DataLab_v1.ini"), # Current stable (v1.x) (".DataLab", "DataLab.ini"), # Legacy (v0.x) ] # Try each configuration folder in order for folder_name, ini_name in config_folders: fname = osp.join(config_basedir, folder_name, ini_name) if osp.exists(fname): ini = cp.ConfigParser() try: ini.read(fname) port = ini.get("main", "rpc_server_port") # Successfully read port from this version's config return port except (cp.NoSectionError, cp.NoOptionError): # Config file exists but doesn't have the port yet, try next version continue # No valid configuration found raise ConnectionRefusedError( "DataLab has not yet been executed or no valid configuration found" ) def items_to_json(items: list) -> str | None: """Convert plot items to JSON string. Args: items (list): list of plot items Returns: str: JSON string or None if items is empty """ from plotpy.io import save_items # pylint: disable=import-outside-toplevel if items: writer = JSONWriter(None) save_items(writer, items) return writer.get_json(indent=4) return None def json_to_items(json_str: str | None) -> list: """Convert JSON string to plot items. Args: json_str (str): JSON string or None Returns: list: list of plot items """ from plotpy.io import load_items # pylint: disable=import-outside-toplevel items = [] if json_str: try: for item in load_items(JSONReader(json_str)): items.append(item) except json.decoder.JSONDecodeError: pass return items class SimpleRemoteProxy(SimpleBaseProxy): """Object representing a proxy/client to DataLab XML-RPC server. This object is used to call DataLab functions from a Python script. This is a subset of DataLab's `RemoteClient` class, with only the methods that do not require DataLab object model to be implemented. Args: autoconnect: If True, automatically connect to DataLab XML-RPC server. Defaults to True. Raises: ConnectionRefusedError: DataLab is currently not running Examples: Here is a simple example of how to use SimpleRemoteProxy in a Python script or in a Jupyter notebook: >>> from sigima.client import SimpleRemoteProxy >>> proxy = SimpleRemoteProxy() # autoconnect is on by default Connecting to DataLab XML-RPC server...OK (port: 28867) >>> proxy.get_version() '1.0.0' >>> proxy.add_signal("toto", np.array([1., 2., 3.]), np.array([4., 5., -1.])) True >>> proxy.get_object_titles() ['toto'] >>> proxy["toto"] >>> "toto" in proxy True >>> proxy[1] >>> proxy[1].data array([1., 2., 3.]) """ def __init__(self, autoconnect: bool = True) -> None: super().__init__() self.port: str = None self._datalab: ServerProxy if autoconnect: self.connect() def __connect_to_server(self, port: str | None = None) -> None: """Connect to DataLab XML-RPC server. Args: port (str | None): XML-RPC port to connect to. If not specified, the port is automatically retrieved from DataLab configuration. Raises: ConnectionRefusedError: DataLab is currently not running """ if port is None: port = get_xmlrpcport_from_env() if port is None: port = get_cdl_xmlrpc_port() self.port = port self._datalab = ServerProxy(f"http://127.0.0.1:{port}", allow_none=True) try: version = self.get_version() except ConnectionRefusedError as exc: raise ConnectionRefusedError("DataLab is currently not running") from exc # If DataLab version is not compatible with this client, show a warning # pylint: disable=cyclic-import from sigima import __version__ # pylint: disable=import-outside-toplevel server_ver = Version(version) client_ver = Version(__version__) required_ver = Version(__required_server_version__) # Compare base versions (ignore pre-release/dev identifiers) # This allows 1.0.0b1 to satisfy >= 1.0.0 requirement if server_ver.base_version < required_ver.base_version: warnings.warn( f"DataLab server version ({server_ver}) may not be fully compatible " f"with Sigima client version {client_ver} " f"(requires DataLab >= {__required_server_version__}).\n" f"Please upgrade DataLab to {__required_server_version__} or higher.", UserWarning, stacklevel=2, ) def connect( self, port: str | None = None, timeout: float | None = None, retries: int | None = None, ) -> None: """Try to connect to DataLab XML-RPC server. Args: port (str | None): XML-RPC port to connect to. If not specified, the port is automatically retrieved from DataLab configuration. timeout (float | None): Maximum time to wait for connection in seconds. Defaults to 5.0. This is the total maximum wait time, not per retry. retries (int | None): Number of retries. Defaults to 10. This parameter is deprecated and will be removed in a future version (kept for backward compatibility). Raises: ConnectionRefusedError: Unable to connect to DataLab ValueError: Invalid timeout (must be >= 0.0) ValueError: Invalid number of retries (must be >= 1) """ timeout = 5.0 if timeout is None else timeout retries = 10 if retries is None else retries # Kept for backward compatibility if timeout < 0.0: raise ValueError("timeout must be >= 0.0") if retries < 1: raise ValueError("retries must be >= 1") execenv.print("Connecting to DataLab XML-RPC server...", end="") # Use exponential backoff for more efficient retrying start_time = time.time() poll_interval = 0.1 # Start with 100ms max_poll_interval = 1.0 # Cap at 1 second while True: try: # Try to connect - this may fail if DataLab hasn't written its # config file yet, so we retry it in the loop self.__connect_to_server(port=port) elapsed = time.time() - start_time execenv.print(f"OK (port: {self.port}, connected in {elapsed:.1f}s)") return except (ConnectionRefusedError, OSError) as exc: # Catch both ConnectionRefusedError and OSError (includes socket errors) elapsed = time.time() - start_time if elapsed >= timeout: execenv.print("KO") raise ConnectionRefusedError( f"Unable to connect to DataLab after {elapsed:.1f}s" ) from exc # Wait before next retry with exponential backoff time.sleep(poll_interval) poll_interval = min(poll_interval * 1.5, max_poll_interval) def disconnect(self) -> None: """Disconnect from DataLab XML-RPC server.""" # This is not mandatory with XML-RPC, but if we change protocol in the # future, it may be useful to have a disconnect method. self._datalab = None def is_connected(self) -> bool: """Return True if connected to DataLab XML-RPC server.""" if self._datalab is not None: try: self.get_version() return True except ConnectionRefusedError: self._datalab = None return False def get_method_list(self) -> list[str]: """Return list of available methods.""" return self._datalab.system.listMethods() # === Following methods should match the register functions in XML-RPC server def add_signal( self, title: str, xdata: np.ndarray, ydata: np.ndarray, xunit: str | None = None, yunit: str | None = None, xlabel: str | None = None, ylabel: str | None = None, ) -> bool: # pylint: disable=too-many-arguments """Add signal data to DataLab. Args: title (str): Signal title xdata (numpy.ndarray): X data ydata (numpy.ndarray): Y data xunit (str | None): X unit. Defaults to None. yunit (str | None): Y unit. Defaults to None. xlabel (str | None): X label. Defaults to None. ylabel (str | None): Y label. Defaults to None. Returns: bool: True if signal was added successfully, False otherwise Raises: ValueError: Invalid xdata dtype ValueError: Invalid ydata dtype """ xbinary = array_to_rpcbinary(xdata) ybinary = array_to_rpcbinary(ydata) return self._datalab.add_signal( title, xbinary, ybinary, xunit, yunit, xlabel, ylabel ) # pylint: disable=too-many-arguments def add_image( self, title: str, data: np.ndarray, xunit: str | None = None, yunit: str | None = None, zunit: str | None = None, xlabel: str | None = None, ylabel: str | None = None, zlabel: str | None = None, ) -> bool: """Add image data to DataLab. Args: title (str): Image title data (numpy.ndarray): Image data xunit (str | None): X unit. Defaults to None. yunit (str | None): Y unit. Defaults to None. zunit (str | None): Z unit. Defaults to None. xlabel (str | None): X label. Defaults to None. ylabel (str | None): Y label. Defaults to None. zlabel (str | None): Z label. Defaults to None. Returns: bool: True if image was added successfully, False otherwise Raises: ValueError: Invalid data dtype """ zbinary = array_to_rpcbinary(data) return self._datalab.add_image( title, zbinary, xunit, yunit, zunit, xlabel, ylabel, zlabel ) def add_object( self, obj: SignalObj | ImageObj, group_id: str = "", set_current: bool = True ) -> None: """Add object to DataLab. Args: obj: Signal or image object group_id: group id in which to add the object. Defaults to "" set_current: if True, set the added object as current """ self._datalab.add_object(dataset_to_rpcjson(obj), group_id, set_current) def load_from_directory(self, path: str) -> None: """Open objects from directory in current panel (signals/images). Args: path: directory path """ self._datalab.load_from_directory(path) def calc(self, name: str, param: gds.DataSet | None = None) -> None: """Call compute function ``name`` in current panel's processor. Args: name: Compute function name param: Compute function parameter. Defaults to None. Raises: ValueError: unknown function """ if param is None: return self._datalab.calc(name) return self._datalab.calc(name, dataset_to_rpcjson(param)) def get_object( self, nb_id_title: int | str | None = None, panel: str | None = None, ) -> SignalObj | ImageObj: """Get object (signal/image) from index. Args: nb_id_title: Object number, or object id, or object title. Defaults to None (current object). panel: Panel name. Defaults to None (current panel). Returns: Object Raises: KeyError: if object not found """ param_data = self._datalab.get_object(nb_id_title, panel) if param_data is None: return None return rpcjson_to_dataset(param_data) def get_object_shapes( self, nb_id_title: int | str | None = None, panel: str | None = None, ) -> list: """Get plot item shapes associated to object (signal/image). Args: nb_id_title: Object number, or object id, or object title. Defaults to None (current object). panel: Panel name. Defaults to None (current panel). Returns: List of plot item shapes """ items_json = self._datalab.get_object_shapes(nb_id_title, panel) return json_to_items(items_json) def add_annotations_from_items( self, items: list, refresh_plot: bool = True, panel: str | None = None ) -> None: """Add object annotations (annotation plot items). .. note:: This method is only available if PlotPy is installed. Args: items (list): annotation plot items refresh_plot (bool | None): refresh plot. Defaults to True. panel (str | None): panel name (valid values: "signal", "image"). If None, current panel is used. """ try: items_json = items_to_json(items) except ImportError as exc: raise ImportError("PlotPy is not installed") from exc if items_json is not None: self._datalab.add_annotations_from_items(items_json, refresh_plot, panel) Sigima-1.1.1/sigima/client/stub.py000066400000000000000000001013261514013333200167770ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """ Sigima Client Stub/Mock Server (Real Objects) --------------------------------------------- This module provides a stub XML-RPC server that emulates DataLab's XML-RPC interface for testing purposes using real Sigima objects. The stub server allows tests to run without requiring a real DataLab instance. """ from __future__ import annotations import os import threading import uuid from contextlib import contextmanager from socketserver import ThreadingMixIn from typing import TYPE_CHECKING from xmlrpc.client import Binary from xmlrpc.server import SimpleXMLRPCServer from guidata.env import execenv from sigima.client import utils from sigima.objects import ImageObj, SignalObj, create_image, create_signal if TYPE_CHECKING: from collections.abc import Generator # pylint: disable=invalid-name # Allows short reference names like x, y, ... # pylint: disable=duplicate-code class MockGroup: """Mock group object.""" def __init__(self, title: str, uuid_str: str | None = None): self.title = title self.uuid = uuid_str or str(uuid.uuid4()) self.objects: list[str] = [] # List of object UUIDs class ThreadingXMLRPCServer(ThreadingMixIn, SimpleXMLRPCServer): """Threading XML-RPC server to handle multiple requests.""" daemon_threads = True allow_reuse_address = True class DataLabStubServer: """Stub XML-RPC server emulating DataLab XML-RPC interface with real objects. This server provides mock implementations of all DataLab XML-RPC methods using real SignalObj and ImageObj instances for maximum compatibility. Args: port: Port to bind to. If 0, uses a random available port. verbose: If True, print verbose debug information. """ def __init__(self, port: int = 0, verbose: bool = True) -> None: """Initialize the stub server. Args: port: Port to bind to. If 0, uses a random available port. """ self.port = port self.verbose = verbose self.server: ThreadingXMLRPCServer | None = None self.server_thread: threading.Thread | None = None # Real Sigima object storage self.signals: dict[str, SignalObj] = {} # uuid -> SignalObj self.images: dict[str, ImageObj] = {} # uuid -> ImageObj self.signal_groups: dict[str, MockGroup] = {} # uuid -> group self.image_groups: dict[str, MockGroup] = {} # uuid -> group # Current state self.current_panel = "signal" # "signal", "image", or "macro" self.selected_objects: list[str] = [] # list of UUIDs self.selected_groups: list[str] = [] # list of group UUIDs self.auto_refresh = True self.show_titles = True # Add default groups self._add_default_group("signal") self._add_default_group("image") def _add_default_group(self, panel: str) -> None: """Add default group for a panel.""" group = MockGroup("Group 1") if panel == "signal": self.signal_groups[group.uuid] = group elif panel == "image": self.image_groups[group.uuid] = group def start(self) -> int: """Start the XML-RPC server. Returns: Port number the server is listening on """ self.server = ThreadingXMLRPCServer( ("127.0.0.1", self.port), allow_none=True, logRequests=False ) # Register all methods self._register_functions() self.port = self.server.server_address[1] # Start server in a separate thread self.server_thread = threading.Thread( target=self.server.serve_forever, daemon=True ) self.server_thread.start() execenv.print(f"DataLab stub server started on port {self.port}") return self.port def stop(self) -> None: """Stop the XML-RPC server.""" if self.server: self.server.shutdown() self.server.server_close() if self.server_thread: self.server_thread.join(timeout=1.0) execenv.print("DataLab stub server stopped") def _register_functions(self) -> None: """Register all XML-RPC functions.""" # System introspection methods self.server.register_introspection_functions() # Basic server methods self.server.register_function(self.get_version, "get_version") self.server.register_function(self.close_application, "close_application") self.server.register_function(self.raise_window, "raise_window") # Panel management self.server.register_function(self.get_current_panel, "get_current_panel") self.server.register_function(self.set_current_panel, "set_current_panel") # Application control self.server.register_function(self.reset_all, "reset_all") self.server.register_function(self.remove_object, "remove_object") self.server.register_function(self.toggle_auto_refresh, "toggle_auto_refresh") self.server.register_function(self.toggle_show_titles, "toggle_show_titles") # File operations self.server.register_function(self.save_to_h5_file, "save_to_h5_file") self.server.register_function(self.open_h5_files, "open_h5_files") self.server.register_function(self.import_h5_file, "import_h5_file") self.server.register_function(self.load_h5_workspace, "load_h5_workspace") self.server.register_function(self.save_h5_workspace, "save_h5_workspace") # Object operations self.server.register_function(self.add_signal, "add_signal") self.server.register_function(self.add_image, "add_image") self.server.register_function(self.get_object_titles, "get_object_titles") self.server.register_function(self.get_object_uuids, "get_object_uuids") self.server.register_function(self.get_object, "get_object") self.server.register_function(self.get_object_shapes, "get_object_shapes") self.server.register_function(self.delete_metadata, "delete_metadata") # Selection operations self.server.register_function(self.select_objects, "select_objects") self.server.register_function(self.select_groups, "select_groups") self.server.register_function(self.get_sel_object_uuids, "get_sel_object_uuids") # Group operations self.server.register_function(self.add_group, "add_group") self.server.register_function( self.get_group_titles_with_object_info, "get_group_titles_with_object_info" ) # Calculation operations self.server.register_function(self.calc, "calc") # Annotation operations self.server.register_function( self.add_annotations_from_items, "add_annotations_from_items" ) self.server.register_function(self.add_label_with_title, "add_label_with_title") # Generic method calling self.server.register_function(self.call_method, "call_method") # Basic server methods def get_version(self) -> str: """Get DataLab version. Returns a valid PEP 440 version string for testing purposes. Since this is a stub server, we return "1.0.0" which is compliant with both PEP 440 and the minimum version requirement. """ return "1.0.0" def close_application(self) -> None: """Close DataLab application.""" # In stub mode, do nothing def raise_window(self) -> None: """Raise DataLab window.""" # In stub mode, do nothing # Panel management def get_current_panel(self) -> str: """Get current panel name.""" return self.current_panel def set_current_panel(self, panel: str) -> None: """Set current panel.""" if panel in ("signal", "image", "macro"): self.current_panel = panel # Application control def reset_all(self) -> None: """Reset all data.""" self.signals.clear() self.images.clear() self.selected_objects.clear() self.selected_groups.clear() def remove_object(self, force: bool = False) -> None: """Remove current object from current panel. Args: force: if True, remove object without confirmation. Defaults to False. """ # In stub mode, remove the first selected object if any if self.selected_objects: uuid_to_remove = self.selected_objects[0] execenv.print(f"[STUB] Removing object: force={force}") if uuid_to_remove in self.signals: del self.signals[uuid_to_remove] self.selected_objects.remove(uuid_to_remove) if self.verbose: execenv.print(f"[STUB] Removed signal: {uuid_to_remove}") elif uuid_to_remove in self.images: del self.images[uuid_to_remove] self.selected_objects.remove(uuid_to_remove) if self.verbose: execenv.print(f"[STUB] Removed image: {uuid_to_remove}") elif self.verbose: execenv.print("[STUB] No object selected to remove") def toggle_auto_refresh(self, state: bool) -> None: """Toggle auto refresh mode.""" self.auto_refresh = state if self.verbose: execenv.print(f"[STUB] Auto-refresh set to: {state}") def toggle_show_titles(self, state: bool) -> None: """Toggle show titles mode.""" self.show_titles = state if self.verbose: execenv.print(f"[STUB] Show titles set to: {state}") # File operations def save_to_h5_file(self, filename: str) -> None: """Save to a DataLab HDF5 file.""" if self.verbose: execenv.print(f"[STUB] Simulating H5 file save to: {filename}") # In stub mode, just create a dummy text file to simulate the save operation # This avoids HDF5 dependencies and potential test failures try: with open(filename, "w", encoding="utf-8") as f: f.write("# DataLab stub file (for testing)\n") f.write(f"# Signals: {len(self.signals)}\n") f.write(f"# Images: {len(self.images)}\n") f.write("# This is a dummy file created by the stub server\n") if self.verbose: execenv.print( f"[STUB] Successfully created dummy file with {len(self.signals)} " f"signals and {len(self.images)} images" ) except Exception as exc: # pylint: disable=broad-except if self.verbose: execenv.print(f"[STUB] Failed to create dummy file: {exc}") # Ignore errors in stub mode # pylint: disable=unused-argument def open_h5_files( self, h5files: list[str] | None = None, import_all: bool | None = None, reset_all: bool | None = None, ) -> None: """Open a DataLab HDF5 file or import from any other HDF5 file.""" if h5files is None: return if self.verbose: execenv.print(f"[STUB] Simulating H5 file loading: {h5files}") if reset_all: if self.verbose: execenv.print("[STUB] Resetting all data before loading") self.reset_all() # In stub mode, just simulate loading by creating dummy objects # This avoids complex HDF5 file parsing and potential test failures for _i, filename in enumerate(h5files): # Create a dummy signal for each file signal = create_signal(f"Loaded Signal from {os.path.basename(filename)}") self.signals[str(uuid.uuid4())] = signal if self.verbose: execenv.print(f"[STUB] Created dummy signal: {signal.title}") # Create a dummy image for each file image = create_image(f"Loaded Image from {os.path.basename(filename)}") self.images[str(uuid.uuid4())] = image if self.verbose: execenv.print(f"[STUB] Created dummy image: {image.title}") def import_h5_file(self, filename: str, reset_all: bool | None = None) -> None: """Open DataLab HDF5 browser to Import HDF5 file.""" self.open_h5_files([filename], import_all=True, reset_all=reset_all) def load_h5_workspace(self, h5files: list[str], reset_all: bool = True) -> None: """Load HDF5 workspace files without showing file dialog. This is a headless version that bypasses Qt file dialogs. Args: h5files: List of HDF5 file paths to load reset_all: If True (default), reset workspace before loading """ if self.verbose: execenv.print(f"[STUB] load_h5_workspace: {h5files}, reset_all={reset_all}") if reset_all: self.reset_all() # Simulate loading by creating dummy objects for each file for filename in h5files: signal = create_signal(f"Loaded Signal from {os.path.basename(filename)}") self.signals[str(uuid.uuid4())] = signal image = create_image(f"Loaded Image from {os.path.basename(filename)}") self.images[str(uuid.uuid4())] = image if self.verbose: execenv.print(f"[STUB] Created dummy signal and image for: {filename}") def save_h5_workspace(self, filename: str) -> None: """Save workspace to HDF5 file without showing file dialog. This is a headless version that bypasses Qt file dialogs. Args: filename: Path to the output HDF5 file """ if self.verbose: execenv.print(f"[STUB] save_h5_workspace: {filename}") # Create a dummy file to simulate save try: with open(filename, "w", encoding="utf-8") as f: f.write("# DataLab workspace stub file (for testing)\n") f.write(f"# Signals: {len(self.signals)}\n") f.write(f"# Images: {len(self.images)}\n") if self.verbose: execenv.print( f"[STUB] Successfully saved workspace with {len(self.signals)} " f"signals and {len(self.images)} images" ) except Exception as exc: # pylint: disable=broad-except if self.verbose: execenv.print(f"[STUB] Failed to save workspace: {exc}") # Object operations # pylint: disable=unused-argument def add_signal( self, title: str, xbinary: Binary, ybinary: Binary, xunit: str = "", yunit: str = "", xlabel: str = "", ylabel: str = "", group_id: str = "", set_current: bool = True, ) -> bool: """Add signal data to DataLab.""" xdata = utils.rpcbinary_to_array(xbinary) ydata = utils.rpcbinary_to_array(ybinary) # Create real SignalObj using factory function signal = create_signal(title, x=xdata, y=ydata) signal.xunit = xunit or "" signal.yunit = yunit or "" signal.xlabel = xlabel or "" signal.ylabel = ylabel or "" # Store signal obj_uuid = str(uuid.uuid4()) self.signals[obj_uuid] = signal # Add to group if specified if group_id and group_id in self.signal_groups: self.signal_groups[group_id].objects.append(obj_uuid) return True # pylint: disable=unused-argument def add_image( self, title: str, zbinary: Binary, xunit: str = "", yunit: str = "", zunit: str = "", xlabel: str = "", ylabel: str = "", zlabel: str = "", group_id: str = "", set_current: bool = True, ) -> bool: """Add image data to DataLab.""" data = utils.rpcbinary_to_array(zbinary) # Create real ImageObj using factory function image = create_image(title, data=data) image.xunit = xunit or "" image.yunit = yunit or "" image.zunit = zunit or "" image.xlabel = xlabel or "" image.ylabel = ylabel or "" image.zlabel = zlabel or "" # Store image obj_uuid = str(uuid.uuid4()) self.images[obj_uuid] = image # Add to group if specified if group_id and group_id in self.image_groups: self.image_groups[group_id].objects.append(obj_uuid) return True def add_object( self, obj_data: list[str], group_id: str = "", set_current: bool = True ) -> bool: """Add object to stub server. Args: obj_serialized: Serialized signal or image object group_id: group id in which to add the object. Defaults to "" set_current: if True, set the added object as current """ obj: SignalObj | ImageObj = utils.rpcjson_to_dataset(obj_data) if self.verbose: obj_str = "signal" if isinstance(obj, SignalObj) else "image" obj_uuid = str(uuid.uuid4()) print(f"Added {obj_str} {obj.title} with UUID {obj_uuid}") if isinstance(obj, SignalObj): self.signals[obj_uuid] = obj if group_id and group_id in self.signal_groups: self.signal_groups[group_id].objects.append(obj_uuid) else: self.images[obj_uuid] = obj if group_id and group_id in self.image_groups: self.image_groups[group_id].objects.append(obj_uuid) def load_from_files(self, filenames: list[str]) -> None: """Load objects from files (stub implementation). Args: filenames: list of file names """ if self.verbose: print( f"load_from_files called with {len(filenames)} files " "(stub - not implemented)" ) def load_from_directory(self, path: str) -> None: """Load objects from directory (stub implementation). Args: path: directory path """ if self.verbose: print( f"load_from_directory called with path: {path} (stub - not implemented)" ) def get_object_titles(self, panel: str | None = None) -> list[str]: """Get object titles for panel.""" panel = panel or self.current_panel if panel == "signal": return [signal.title for signal in self.signals.values()] if panel == "image": return [image.title for image in self.images.values()] return [] # pylint: disable=unused-argument def get_object_uuids( self, panel: str | None = None, group: int | str | None = None ) -> list[str]: """Get object UUIDs for panel.""" panel = panel or self.current_panel if panel == "signal": return list(self.signals.keys()) if panel == "image": return list(self.images.keys()) return [] def get_object(self, uuid_str: str, panel: str | None = None) -> list[str] | None: """Get object by UUID, index, or title.""" panel = panel or self.current_panel # Get the appropriate objects dictionary if panel == "signal": objects = self.signals object_list = list(self.signals.keys()) elif panel == "image": objects = self.images object_list = list(self.images.keys()) else: return None # Try to resolve uuid_str as UUID first if uuid_str in objects: obj = objects[uuid_str] else: # Try to resolve as 1-based index try: index = int(uuid_str) - 1 # Convert to 0-based if 0 <= index < len(object_list): uuid_key = object_list[index] obj = objects[uuid_key] else: return None except (ValueError, TypeError): # Try to find by title obj = None for object_instance in objects.values(): if object_instance.title == uuid_str: obj = object_instance break if obj is None: return None # Use standard serialization with real objects return utils.dataset_to_rpcjson(obj) # pylint: disable=unused-argument def get_object_shapes( self, uuid_str: str, panel: str | None = None ) -> list[dict] | None: """Get object shapes.""" obj = self.signals.get(uuid_str) or self.images.get(uuid_str) if obj is None: return None return [roi.to_dict() for roi in obj.roi] def delete_metadata(self, uuid_str: str, key: str) -> bool: """Delete metadata entry for object.""" obj = self.signals.get(uuid_str) or self.images.get(uuid_str) if obj is None: return False if key in obj.metadata: del obj.metadata[key] return True return False # Selection operations def select_objects( self, selection: list[int | str], panel: str | None = None ) -> None: """Select objects by indices or UUIDs.""" panel = panel or self.current_panel if panel == "signal": uuids = list(self.signals.keys()) elif panel == "image": uuids = list(self.images.keys()) else: return selected_uuids = [] for item in selection: if isinstance(item, str): # Item is a UUID if item in uuids: selected_uuids.append(item) elif isinstance(item, int): # Item is a 1-based index index = item - 1 # Convert to 0-based if 0 <= index < len(uuids): selected_uuids.append(uuids[index]) self.selected_objects = selected_uuids # pylint: disable=unused-argument def get_sel_object_uuids(self, include_groups: bool = False) -> list[str]: """Return selected objects uuids.""" return self.selected_objects.copy() def select_groups(self, selection: list[int], panel: str | None = None) -> None: """Select groups by indices.""" panel = panel or self.current_panel if panel == "signal": group_uuids = list(self.signal_groups.keys()) elif panel == "image": group_uuids = list(self.image_groups.keys()) else: return self.selected_groups = [ group_uuids[i] for i in selection if 0 <= i < len(group_uuids) ] # Group operations # pylint: disable=unused-argument def add_group( self, title: str, panel: str | None = None, select: bool = False ) -> str: """Add group and return UUID.""" panel = panel or self.current_panel group = MockGroup(title) if panel == "signal": self.signal_groups[group.uuid] = group elif panel == "image": self.image_groups[group.uuid] = group return group.uuid def get_group_titles_with_object_info( self, ) -> tuple[list[str], list[list[str]], list[list[str]]]: """Return groups titles and lists of inner objects uuids and titles.""" panel = self.current_panel if panel == "signal": groups = self.signal_groups objects = self.signals elif panel == "image": groups = self.image_groups objects = self.images else: return ([], [], []) group_titles = [] group_uuids_lists = [] group_titles_lists = [] for group in groups.values(): group_titles.append(group.title) # Get objects in this group object_uuids = [uuid for uuid in group.objects if uuid in objects] object_titles = [ objects[uuid].title for uuid in object_uuids if uuid in objects ] group_uuids_lists.append(object_uuids) group_titles_lists.append(object_titles) return (group_titles, group_uuids_lists, group_titles_lists) # Macro operations (stub implementations) def import_macro_from_file(self, filename: str) -> None: """Import macro from file (stub implementation). Args: filename: Filename """ if self.verbose: print(f"import_macro_from_file called: {filename} (stub - not implemented)") def run_macro(self, number_or_title: int | str | None = None) -> None: """Run macro (stub implementation). Args: number_or_title: Number or title of the macro. Defaults to None. """ if self.verbose: print(f"run_macro called: {number_or_title} (stub - not implemented)") def stop_macro(self, number_or_title: int | str | None = None) -> None: """Stop macro (stub implementation). Args: number_or_title: Number or title of the macro. Defaults to None. """ if self.verbose: print(f"stop_macro called: {number_or_title} (stub - not implemented)") # Calculation operations def calc(self, name: str, param: list[str] | None = None) -> str | None: """Execute calculation and return result object UUID.""" if self.verbose: execenv.print( f"[STUB] Simulating calculation '{name}' with params: {param}" ) # In stub mode, just simulate by creating a dummy result object if not self.selected_objects: if self.verbose: execenv.print("[STUB] No objects selected for calculation") return None src_uuid = self.selected_objects[0] src_obj = self.signals.get(src_uuid) or self.images.get(src_uuid) if src_obj is None: if self.verbose: execenv.print(f"[STUB] Source object {src_uuid} not found") return None # Create a dummy result object based on source type if isinstance(src_obj, SignalObj): result = create_signal(f"{name}({src_obj.title})") obj_uuid = str(uuid.uuid4()) self.signals[obj_uuid] = result if self.verbose: execenv.print(f"[STUB] Created dummy signal result: {result.title}") return obj_uuid if isinstance(src_obj, ImageObj): result = create_image(f"{name}({src_obj.title})") obj_uuid = str(uuid.uuid4()) self.images[obj_uuid] = result if self.verbose: execenv.print(f"[STUB] Created dummy image result: {result.title}") return obj_uuid if self.verbose: execenv.print("[STUB] Unsupported object type for calculation") return None # Generic method calling def call_method(self, method_name: str, call_params: dict): """Call a public method on a panel or main window. Args: method_name: Name of the method to call call_params: Dictionary with keys 'args' (list), 'panel' (str|None), 'kwargs' (dict). Defaults to empty for missing keys. Returns: The return value of the called method (stub returns None) Raises: AttributeError: If the method does not exist or is not public """ args = call_params.get("args", []) panel = call_params.get("panel") kwargs = call_params.get("kwargs", {}) if self.verbose: execenv.print( f"[STUB] Calling method '{method_name}' with args={args}, " f"panel={panel}, kwargs={kwargs}" ) # Check if the method exists on the stub server itself if hasattr(self, method_name) and not method_name.startswith("_"): method = getattr(self, method_name) if callable(method): try: return method(*args, **kwargs) except TypeError as exc: if self.verbose: execenv.print( f"[STUB] Method '{method_name}' exists but failed: {exc}" ) raise AttributeError( f"Method '{method_name}' has incompatible signature" ) from exc # For methods that don't exist, just log and return None if self.verbose: execenv.print( f"[STUB] Method '{method_name}' not implemented in stub server" ) return None # Annotation operations # pylint: disable=unused-argument def add_annotations_from_items( self, items: list[str], refresh_plot: bool = True, panel: str | None = None ) -> None: """Add object annotations (annotation plot items).""" # In stub mode, just acknowledge the annotations # Real implementation would deserialize items and add to objects # pylint: disable=unused-argument def add_label_with_title( self, title: str | None = None, panel: str | None = None ) -> None: """Add label with title.""" if self.verbose: execenv.print(f"[STUB] Simulating add label with title: {title}") # In stub mode, just acknowledge the label # ========================================================================= # Web API control methods (stub implementations) # ========================================================================= # pylint: disable=unused-argument def start_webapi_server( self, host: str | None = None, port: int | None = None, ) -> dict: """Start the Web API server (stub implementation). Args: host: Host address to bind to. Defaults to "127.0.0.1". port: Port number. Defaults to auto-detect available port. Returns: Dictionary with "url" and "token" keys. """ if self.verbose: execenv.print( f"[STUB] Simulating start_webapi_server(host={host}, port={port})" ) # Return a dummy response return {"url": "http://127.0.0.1:8000", "token": "stub-token"} def stop_webapi_server(self) -> None: """Stop the Web API server (stub implementation).""" if self.verbose: execenv.print("[STUB] Simulating stop_webapi_server()") # Nothing to do in stub mode def get_webapi_status(self) -> dict: """Get Web API server status (stub implementation). Returns: Dictionary with "running", "url", and "token" keys. """ if self.verbose: execenv.print("[STUB] Simulating get_webapi_status()") # Return a dummy status (server not running in stub mode) return {"running": False, "url": None, "token": None} @contextmanager def datalab_stub_server( port: int = 0, verbose: bool = True ) -> Generator[int, None, None]: """Context manager for DataLab stub server. Args: port: Port to bind to. If 0, uses a random available port. verbose: If True, print verbose debug information. Yields: Port number the server is listening on """ server = DataLabStubServer(port, verbose=verbose) try: actual_port = server.start() yield actual_port finally: server.stop() def patch_simpleremoteproxy_for_stub() -> DataLabStubServer: """Patch SimpleRemoteProxy to connect to a stub server instead of real DataLab. This utility function: 1. Creates and starts a DataLabStubServer instance 2. Patches SimpleRemoteProxy.__connect_to_server to use the stub server port 3. Returns the stub server instance for later cleanup Returns: The running DataLabStubServer instance that needs to be stopped later Example: >>> stub_server = patch_simpleremoteproxy_for_stub() >>> try: ... # Your code using SimpleRemoteProxy here ... proxy = SimpleRemoteProxy() ... # proxy will connect to stub server automatically ... finally: ... stub_server.stop() """ # pylint: disable=import-outside-toplevel # Import directly from remote module to avoid circular dependency from sigima.client.remote import SimpleRemoteProxy # Store original method # pylint: disable=protected-access original_connect_to_server = SimpleRemoteProxy._SimpleRemoteProxy__connect_to_server # Start stub server stub_server_instance = DataLabStubServer(verbose=False) stub_port = stub_server_instance.start() # pylint: disable=unused-argument def patched_connect_to_server(self, port=None): """Patched connect that uses stub server port.""" # Always use the stub server port, ignore the requested port original_connect_to_server(self, port=str(stub_port)) # Apply the patch # pylint: disable=protected-access SimpleRemoteProxy._SimpleRemoteProxy__connect_to_server = patched_connect_to_server return stub_server_instance Sigima-1.1.1/sigima/client/utils.py000066400000000000000000000044721514013333200171660ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """ Sigima Client Utilities ----------------------- Common utilities shared between client remote control and stub server modules. """ from __future__ import annotations import importlib from io import BytesIO from xmlrpc.client import Binary import guidata.dataset as gds import numpy as np from guidata.io import JSONReader, JSONWriter # pylint: disable=duplicate-code def array_to_rpcbinary(data: np.ndarray) -> Binary: """Convert NumPy array to XML-RPC Binary object, with shape and dtype. The array is converted to a binary string using NumPy's native binary format. Args: data: NumPy array to convert Returns: XML-RPC Binary object """ dbytes = BytesIO() np.save(dbytes, data, allow_pickle=False) return Binary(dbytes.getvalue()) def rpcbinary_to_array(binary: Binary) -> np.ndarray: """Convert XML-RPC binary to NumPy array. Args: binary: XML-RPC Binary object Returns: NumPy array """ dbytes = BytesIO(binary.data) return np.load(dbytes, allow_pickle=False) def dataset_to_rpcjson(param: gds.DataSet) -> list[str]: """Convert guidata DataSet to XML-RPC compatible JSON data. The JSON data is a list of three elements: - The first element is the module name of the DataSet class - The second element is the class name of the DataSet class - The third element is the JSON data of the DataSet instance Args: param: guidata DataSet to convert Returns: XML-RPC compatible JSON data (3-element list) """ writer = JSONWriter() param.serialize(writer) param_json = writer.get_json() klass = param.__class__ return [klass.__module__, klass.__name__, param_json] def rpcjson_to_dataset(param_data: list[str]) -> gds.DataSet: """Convert XML-RPC compatible JSON data to guidata DataSet. Args: param_data: XML-RPC compatible JSON data (3-element list) Returns: guidata DataSet """ param_module, param_clsname, param_json = param_data mod = importlib.__import__(param_module, fromlist=[param_clsname]) klass = getattr(mod, param_clsname) param: gds.DataSet = klass() reader = JSONReader(param_json) param.deserialize(reader) return param Sigima-1.1.1/sigima/config.py000066400000000000000000000372041514013333200160140ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """ Configuration (:mod:`sigima.config`) ------------------------------------- The :mod:`sigima.config` module provides a way to manage configuration options for the `sigima` library, as well as to handle translations and data paths, and other configuration-related tasks. It allows users to set and retrieve options that affect the behavior of the library, such as whether to keep results of computations or not. The options are handled as in-memory objects with default values provided, and can be temporarily overridden using a context manager. Typical usage: .. code-block:: python from sigima.config import options # Get an option value = options.fft_shift_enabled.get(default=True) # Set an option options.fft_shift_enabled.set(False) # Temporarily override an option with options.fft_shift_enabled.context(True): ... The following table lists the available options: .. options-table:: .. note:: The options are stored in an environment variable in JSON format, allowing for synchronization with external configurations or other processes that may need to read or modify the options. The environment variable name is defined by :attr:`sigima.config.OptionsContainer.ENV_VAR`. This is especially useful for applications such as DataLab (where the `sigima` library is used as a core component) as computations may be run in separate processes. """ from __future__ import annotations import json import os from contextlib import contextmanager from typing import Any, Generator from guidata import configtools # Translation and data path configuration MOD_NAME = "sigima" _ = configtools.get_translation(MOD_NAME) DATAPATH = configtools.get_module_data_path(MOD_NAME, "data") class OptionField: """A configurable option field with get/set/context interface. Args: container: Options container instance to which this option belongs. name: Name of the option (used for introspection or errors). default: Default value of the option. """ def __init__( self, container: OptionsContainer, name: str, default: Any, description: str = "", ) -> None: self._container = container self.name = name self.check(default) # Validate the default value self._value = default self.description = description def check(self, value: Any) -> None: # pylint: disable=unused-argument """Check if the value is valid for this option. Args: value: The value to check. Raises: ValueError: If the value is not valid. """ # This method can be overridden in subclasses for specific validation def get(self, sync_env: bool = True) -> Any: """Return the current value of the option. Args: sync_env: Whether to ensure the environment variable is synchronized with the current value. Returns: The current value of the option. """ if sync_env: self._container.ensure_loaded_from_env() return self._value def set(self, value: Any, sync_env: bool = True) -> None: """Set the value of the option. Args: value: The new value to assign. sync_env: Whether to synchronize the environment variable. """ self.check(value) # Validate the new value self._value = value if sync_env: self._container.sync_env() def context(self, temp_value: Any) -> Generator[None, None, None]: """Temporarily override the option within a context. Args: temp_value: Temporary value to use within the context. Yields: None. Restores the original value upon exit. """ @contextmanager def _ctx(): old_value = self._value self.set(temp_value) try: yield finally: self.set(old_value) return _ctx() class TypedOptionField(OptionField): """A configurable option field with type checking. Args: container: Options container instance to which this option belongs. name: Name of the option (used for introspection or errors). default: Default value of the option. expected_type: Expected type of the option value. description: Description of the option. """ def __init__( self, container: OptionsContainer, name: str, default: Any, expected_type: type, description: str = "", ) -> None: self.expected_type = expected_type super().__init__(container, name, default, description) def check(self, value: Any) -> None: """Check if the value is of the expected type. Args: value: The value to check. Raises: ValueError: If the value is not of the expected type. """ if not isinstance(value, self.expected_type): raise ValueError( f"Expected {self.expected_type.__name__}, got {type(value).__name__}" ) class ImageIOOptionField(OptionField): """A configurable option field for image I/O formats. .. note:: This option is specifically for image I/O formats and expects a tuple of tuples (or list of lists) of strings representing the formats, similar to the following: ... code-block:: python imageio_formats = ( ("*.gel", "Opticks GEL"), ("*.spe", "Princeton Instruments SPE"), ("*.ndpi", "Hamamatsu Slide Scanner NDPI"), ("*.rec", "PCO Camera REC"), ) Args: container: Options container instance to which this option belongs. name: Name of the option (used for introspection or errors). default: Default value of the option. description: Description of the option. """ def check( self, value: list[list[str, str]] | list[tuple[str, str]] | tuple[tuple[str, str]] | tuple[list[str, str]], ) -> None: """Check if the value is a valid image I/O format. Args: value: The value to check. Raises: ValueError: If the value is not a valid image I/O format. """ if not isinstance(value, (tuple, list)) or not all( isinstance(item, (tuple, list)) and len(item) == 2 for item in value ): raise ValueError( "Expected a tuple of tuples with two elements each " "(format, description)" ) for item in value: if not isinstance(item[0], str) or not isinstance(item[1], str): raise ValueError( "Each item must be a tuple of (format, description) as strings" ) def set(self, value: Any, sync_env: bool = True) -> None: """Set the value of the option. Args: value: The new value to assign. sync_env: Whether to synchronize the environment variable. """ super().set(value, sync_env) # pylint: disable=cyclic-import # pylint: disable=import-outside-toplevel from sigima.io.image import formats # Generate image I/O format classes based on the new value # This allows dynamic loading of formats based on the configuration formats.generate_imageio_format_classes(value) IMAGEIO_FORMATS = ( ("*.gel", "Opticks GEL"), ("*.spe", "Princeton Instruments SPE"), ("*.ndpi", "Hamamatsu Slide Scanner NDPI"), ("*.rec", "PCO Camera REC"), ) # Default image I/O formats class OptionsContainer: """Container for all configurable options in the `sigima` library. Options are exposed as attributes with `.get()`, `.set()` and `.context()` methods. """ #: Environment variable name for options in JSON format # This is used to synchronize options with external configurations or with # separate processes that may need to read or modify the options. ENV_VAR = "SIGIMA_OPTIONS_JSON" @classmethod def set_env(cls, value: str) -> None: """Set the environment variable with the given JSON string. Args: value: A JSON string representation of the options to set. """ os.environ[cls.ENV_VAR] = value @classmethod def get_env(cls) -> str: """Get the current value of the environment variable. Returns: The JSON string representation of the options from the environment variable. """ return os.environ.get(cls.ENV_VAR, "{}") def __init__(self) -> None: self.fft_shift_enabled = TypedOptionField( self, "fft_shift_enabled", default=True, expected_type=bool, description=_( "If True, the FFT operations will apply a shift to the zero frequency " "component to the center of the spectrum. This is useful for " "visualizing frequency components in a more intuitive way." ), ) self.auto_normalize_kernel = TypedOptionField( self, "auto_normalize_kernel", default=False, expected_type=bool, description=_( "If True, convolution kernels will be automatically normalized to " "sum to 1.0 before convolution. This ensures that the output signal " "or image has the same overall magnitude as the input when using " "smoothing kernels. Set to False to preserve the mathematical " "properties of the original kernel." ), ) self.imageio_formats = ImageIOOptionField( self, "imageio_formats", default=IMAGEIO_FORMATS, description=_( """List of supported image I/O formats. Each format is a tuple of ``(file_extension, description)``. The ``sigima`` library supports any image format that can be read by the ``imageio`` library, provided that the associated plugin(s) are installed (see `imageio documentation `_) and that the output NumPy array data type and shape are supported by ``sigima``. To add a new file format, you may use the ``imageio_formats`` option to specify additional formats. Each entry should be a tuple of (file extension, description). """ ), ) self.viz_backend = TypedOptionField( self, "viz_backend", default="auto", expected_type=str, description=_( """Backend library for visualization (sigima.viz module). Valid values: ``"auto"``, ``"plotpy"``, ``"matplotlib"``. - ``"auto"`` (default): Automatically select PlotPy if available, otherwise Matplotlib - ``"plotpy"``: Use PlotPy for interactive visualizations (requires PlotPy and Qt) - ``"matplotlib"``: Use Matplotlib for visualizations (simpler, view-only) This setting can also be overridden using the ``SIGIMA_VIZ_BACKEND`` environment variable. Note that Matplotlib backend does not support all features of PlotPy (e.g., ``create_segment()``, ``create_cursor()``, etc. will raise NotImplementedError). """ ), ) # Add new options here def describe_all(self) -> None: """Print the name, value, and description of all options.""" for name in vars(self): opt = getattr(self, name) if isinstance(opt, OptionField): print(f"{name} = {opt.get()} # {opt.description}") def generate_rst_doc(self) -> str: """Generate reStructuredText documentation for all options. Returns: A string containing the reStructuredText documentation. """ doc = """.. list-table:: :header-rows: 1 :align: left * - Name - Default Value - Description """ for name in vars(self): opt = getattr(self, name) if isinstance(opt, OptionField): # Process description to work within table cells description = opt.description.strip() # For table cells, we need to indent continuation lines properly # and handle multi-line content correctly description_lines = description.split("\n") if len(description_lines) > 1: # Multi-line descriptions need special handling in RST tables processed_lines = [description_lines[0]] # First line for line in description_lines[1:]: if line.strip(): # Non-empty lines processed_lines.append(" " + line.strip()) else: # Empty lines processed_lines.append("") description = "\n".join(processed_lines) # Get the value and format it nicely value = repr(opt.get(sync_env=False)) if len(value) > 200: # Truncate very long values value = value[:197] + "..." doc += f" * - ``{name}``\n" doc += f" - ``{value}``\n" doc += f" - {description}\n" return doc def ensure_loaded_from_env(self) -> None: """Lazy-load from JSON env var on first access.""" value = self.get_env() try: values = json.loads(value) self.from_dict(values) except Exception as exc: # pylint: disable=broad-except # If loading fails, we just log a warning and continue with defaults print(f"[sigima] Warning: failed to load options from env: {exc}") def to_env_json(self) -> str: """Return the current options as a JSON string for environment variable. Returns: A JSON string representation of the current options. """ return json.dumps(self.to_dict()) def sync_env(self) -> None: """Update env var with current option values.""" self.set_env(self.to_env_json()) def to_dict(self) -> dict[str, Any]: """Return the current option values as a dictionary. Returns: A dictionary with option names as keys and their current values. """ return { name: getattr(self, name).get(sync_env=False) for name in vars(self) if isinstance(getattr(self, name), OptionField) } def from_dict(self, values: dict[str, Any]) -> None: """Set option values from a dictionary. Args: values: A dictionary with option names as keys and their new values. """ for name, value in values.items(): if hasattr(self, name): opt = getattr(self, name) if isinstance(opt, OptionField): opt.set(value, sync_env=False) self.sync_env() #: Global instance of the options container options = OptionsContainer() # Generate OPTIONS_RST at module load time after options is created # This avoids circular import issues since everything is already loaded OPTIONS_RST = options.generate_rst_doc() def __getattr__(name: str): """Handle lazy evaluation of module-level attributes. This provides backward compatibility for any code that might access OPTIONS_RST. 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393,2025-06-20 18:40:00,23.5,55.5,14.1 394,2025-06-20 18:45:00,23.5,55.5,14.1 395,2025-06-20 18:50:00,23.5,55.5,14.1 396,2025-06-20 18:55:00,23.5,55.5,14.1 397,2025-06-20 19:00:00,23.5,55.5,14.1 398,2025-06-20 19:05:00,23.5,55.5,14.1 399,2025-06-20 19:10:00,23.5,55.5,14.1 400,2025-06-20 19:15:00,23.5,55.5,14.1 401,2025-06-20 19:20:00,23.5,55.5,14.1 402,2025-06-20 19:25:00,23.5,55.5,14.1 403,2025-06-20 19:30:00,23.5,55.5,14.1 404,2025-06-20 19:35:00,23.5,55.5,14.1 405,2025-06-20 19:40:00,23.5,55.5,14.1 406,2025-06-20 19:45:00,23.5,55.5,14.1 407,2025-06-20 19:50:00,23.5,55.5,14.1 408,2025-06-20 19:55:00,23.5,55.5,14.1 409,2025-06-20 20:00:00,23.5,55.5,14.1 410,2025-06-20 20:05:00,23.5,55.5,14.1 411,2025-06-20 20:10:00,23.5,55.5,14.1 412,2025-06-20 20:15:00,23.5,55.5,14.1 413,2025-06-20 20:20:00,23.5,55.5,14.1 414,2025-06-20 20:25:00,23.5,55.5,14.1 415,2025-06-20 20:30:00,23.5,55.5,14.1 416,2025-06-20 20:35:00,23.5,55.5,14.1 417,2025-06-20 20:40:00,23.5,55.5,14.1 418,2025-06-20 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Paracetamol, otherwise known as acetaminophen, is an analgesic and antipyretic. ##STATUS=The identification of this mineral is not yet confirmed. ##URL=rruff.info/D120007 2 theta (°), Intensity 5, 144.95 5.05, 130.958 5.1, 138.617 5.15, 127.86 5.2, 130.526 5.25, 129.117 5.3, 146.902 5.35, 126.054 5.4, 130.71 5.45, 136.944 5.5, 132.646 5.55, 135.503 5.6, 131.31 5.65, 134.392 5.7, 134.115 5.75, 142.336 5.8, 124.004 5.85, 137.182 5.9, 144.611 5.95, 125.155 6, 133.639 6.05, 137.911 6.1, 130.834 6.15, 127.603 6.2, 130.111 6.25, 128.666 6.3, 131.237 6.35, 123.651 6.4, 133.444 6.45, 129.991 6.5, 124.31 6.55, 125.31 6.6, 127.22 6.65, 126.525 6.7, 118.994 6.75, 127.921 6.8, 124.564 6.85, 133.317 6.9, 127.625 6.95, 127.094 7, 125.326 7.05, 126.764 7.1, 126.101 7.15, 118.474 7.2, 127.064 7.25, 131.091 7.3, 135.68 7.35, 128.569 7.4, 129.097 7.45, 126.45 7.5, 128.518 7.55, 129.235 7.6, 123.793 7.65, 126.139 7.7, 132.394 7.75, 127.318 7.8, 126.314 7.85, 126.112 7.9, 132.29 7.95, 136.732 8, 135.149 8.05, 139.587 8.1, 134.642 8.15, 139.803 8.2, 141.572 8.25, 153.708 8.3, 148.54 8.35, 151.054 8.4, 153.85 8.45, 157.294 8.5, 158.885 8.55, 162.167 8.6, 165.507 8.65, 156.191 8.7, 145.237 8.75, 151.594 8.8, 147.153 8.85, 141.447 8.9, 143.715 8.95, 127.63 9, 130.104 9.05, 130.851 9.1, 118.595 9.15, 130.604 9.2, 131.175 9.25, 118.46 9.3, 126.75 9.35, 126.365 9.4, 132.485 9.45, 126.401 9.5, 122.79 9.55, 126.146 9.6, 133.005 9.65, 126.313 9.7, 124.658 9.75, 128.092 9.8, 129.795 9.85, 124.484 9.9, 126.61 9.95, 131.695 10, 127.967 10.05, 126.272 10.1, 134.518 10.15, 119.874 10.2, 124.126 10.25, 132.356 10.3, 130.05 10.35, 121.237 10.4, 120.844 10.45, 123.974 10.5, 122.742 10.55, 124.796 10.6, 135.243 10.65, 126.549 10.7, 117.422 10.75, 135.101 10.8, 134.725 10.85, 124.339 10.9, 121.157 10.95, 124.966 11, 119.67 11.05, 124.525 11.1, 118.806 11.15, 124.037 11.2, 116.881 11.25, 122.862 11.3, 120.684 11.35, 126.824 11.4, 137.45 11.45, 131.534 11.5, 123.983 11.55, 132.546 11.6, 134.337 11.65, 130.428 11.7, 137.611 11.75, 133.468 11.8, 129.303 11.85, 121.403 11.9, 134.409 11.95, 126.763 12, 130.066 12.05, 125.678 12.1, 120.724 12.15, 133.341 12.2, 118.668 12.25, 129.796 12.3, 120.248 12.35, 118.123 12.4, 131.801 12.45, 125.781 12.5, 118.983 12.55, 125.76 12.6, 118.283 12.65, 122.163 12.7, 114.645 12.75, 117.965 12.8, 132.209 12.85, 133.292 12.9, 130.209 12.95, 139.162 13, 128.423 13.05, 118.367 13.1, 125.668 13.15, 133.322 13.2, 114.769 13.25, 129.273 13.3, 129.894 13.35, 137.251 13.4, 150.487 13.45, 151.853 13.5, 174.944 13.55, 201.962 13.6, 237.979 13.65, 284.611 13.7, 358.771 13.75, 385.925 13.8, 415.682 13.85, 426.614 13.9, 463.492 13.95, 475.314 14, 438.313 14.05, 430.992 14.1, 399.599 14.15, 358.187 14.2, 337.351 14.25, 269.738 14.3, 215.848 14.35, 174.793 14.4, 162.602 14.45, 138.565 14.5, 151.972 14.55, 120.998 14.6, 129.249 14.65, 128.467 14.7, 120.479 14.75, 123.251 14.8, 129.125 14.85, 130.553 14.9, 126.714 14.95, 132.646 15, 128.372 15.05, 123.694 15.1, 125.085 15.15, 118.172 15.2, 130.737 15.25, 129.561 15.3, 121.835 15.35, 142.207 15.4, 119.999 15.45, 129.761 15.5, 121.199 15.55, 138.558 15.6, 133.687 15.65, 143.158 15.7, 168.679 15.75, 210.864 15.8, 240.63 15.85, 316.948 15.9, 401.51 15.95, 510.351 16, 575.553 16.05, 599.754 16.1, 629.712 16.15, 585.877 16.2, 522.757 16.25, 433.674 16.3, 333.33 16.35, 248.149 16.4, 193.047 16.45, 171.919 16.5, 145.249 16.55, 149.683 16.6, 130.978 16.65, 154.966 16.7, 151.103 16.75, 147.778 16.8, 139.722 16.85, 149.863 16.9, 154.948 16.95, 153.706 17, 152.32 17.05, 164.354 17.1, 162.43 17.15, 144.656 17.2, 153.821 17.25, 155.359 17.3, 139.634 17.35, 150.208 17.4, 149.206 17.45, 158.561 17.5, 179.514 17.55, 189.998 17.6, 225.865 17.65, 258.699 17.7, 301.535 17.75, 346.1 17.8, 436.152 17.85, 563.963 17.9, 693.097 17.95, 795.983 18, 922.02 18.05, 986.19 18.1, 997.449 18.15, 913.216 18.2, 857.842 18.25, 704.079 18.3, 552.753 18.35, 450.754 18.4, 359.362 18.45, 308.906 18.5, 271.303 18.55, 259.971 18.6, 247.38 18.65, 235.205 18.7, 233.156 18.75, 240.439 18.8, 219.655 18.85, 238.381 18.9, 242.358 18.95, 224.804 19, 217.139 19.05, 214.682 19.1, 234.321 19.15, 232.843 19.2, 239.377 19.25, 271.223 19.3, 296.601 19.35, 349.65 19.4, 414.915 19.45, 453.014 19.5, 475.948 19.55, 465.006 19.6, 436.328 19.65, 377.371 19.7, 302.985 19.75, 259.159 19.8, 214.726 19.85, 199.541 19.9, 191.483 19.95, 174.363 20, 183.943 20.05, 172.731 20.1, 180.382 20.15, 167.302 20.2, 186.818 20.25, 166.506 20.3, 176.664 20.35, 166.334 20.4, 161.125 20.45, 171.349 20.5, 173.675 20.55, 162.959 20.6, 180.984 20.65, 187.443 20.7, 199.199 20.75, 207.095 20.8, 225.995 20.85, 246.59 20.9, 285.148 20.95, 340.1 21, 446.62 21.05, 582.385 21.1, 654.08 21.15, 729.274 21.2, 760.561 21.25, 725.147 21.3, 657.166 21.35, 562.369 21.4, 411.676 21.45, 317.024 21.5, 244.341 21.55, 195.207 21.6, 173.296 21.65, 155.771 21.7, 144.105 21.75, 139.791 21.8, 139.447 21.85, 148.986 21.9, 151.228 21.95, 155.93 22, 163.39 22.05, 160.719 22.1, 155.959 22.15, 154.821 22.2, 149.745 22.25, 149.557 22.3, 134.243 22.35, 133.744 22.4, 132.446 22.45, 125.265 22.5, 131.207 22.55, 133.317 22.6, 129.588 22.65, 131.296 22.7, 121.493 22.75, 121.23 22.8, 130.54 22.85, 123.753 22.9, 118.983 22.95, 122.956 23, 113.356 23.05, 116.166 23.1, 127.571 23.15, 125.147 23.2, 137.035 23.25, 155.434 23.3, 170.429 23.35, 180.516 23.4, 196.616 23.45, 211.396 23.5, 216.658 23.55, 237.929 23.6, 276.499 23.65, 291.107 23.7, 328.354 23.75, 333.171 23.8, 343.157 23.85, 330.592 23.9, 287.284 23.95, 262.081 24, 224.983 24.05, 232.686 24.1, 221.321 24.15, 239.779 24.2, 283.117 24.25, 272.335 24.3, 273.056 24.35, 252.636 24.4, 220.542 24.45, 172.207 24.5, 150.821 24.55, 133.023 24.6, 131.079 24.65, 125.341 24.7, 122.106 24.75, 122.052 24.8, 127.441 24.85, 115.91 24.9, 120.508 24.95, 124.163 25, 108.357 25.05, 114.624 25.1, 120.72 25.15, 122.091 25.2, 119.482 25.25, 129.144 25.3, 123.056 25.35, 126.572 25.4, 123.624 25.45, 115.467 25.5, 120.053 25.55, 118.137 25.6, 128.948 25.65, 130.204 25.7, 126.32 25.75, 128.999 25.8, 132.911 25.85, 130.626 25.9, 133.537 25.95, 133.16 26, 135.097 26.05, 123.364 26.1, 129.515 26.15, 121.09 26.2, 120.242 26.25, 123.316 26.3, 116.317 26.35, 114.714 26.4, 118.821 26.45, 111.891 26.5, 130.199 26.55, 121.559 26.6, 128.008 26.65, 134.657 26.7, 137.686 26.75, 154.145 26.8, 172.061 26.85, 208.748 26.9, 216.904 26.95, 233.256 27, 238.691 27.05, 231.06 27.1, 228.972 27.15, 246.491 27.2, 307.083 27.25, 367.255 27.3, 494.578 27.35, 583.502 27.4, 662.527 27.45, 683.387 27.5, 628.664 27.55, 527.825 27.6, 412.596 27.65, 289.458 27.7, 222.51 27.75, 165.663 27.8, 146.087 27.85, 143.243 27.9, 147.558 27.95, 133.242 28, 135.915 28.05, 138.778 28.1, 153.454 28.15, 182.119 28.2, 231.315 28.25, 331.988 28.3, 485.443 28.35, 655.047 28.4, 747.839 28.45, 794.338 28.5, 768.941 28.55, 730.637 28.6, 606.509 28.65, 497.263 28.7, 365.608 28.75, 301.191 28.8, 284.499 28.85, 236.869 28.9, 235.612 28.95, 229.989 29, 217.086 29.05, 200.749 29.1, 172.124 29.15, 157.951 29.2, 143.448 29.25, 139.142 29.3, 129.961 29.35, 120.542 29.4, 123.203 29.45, 124.883 29.5, 121.38 29.55, 124.496 29.6, 116.452 29.65, 117.536 29.7, 105.712 29.75, 105.066 29.8, 110.455 29.85, 107.286 29.9, 107.302 29.95, 100.37 30, 104.262 30.05, 108.8 30.1, 102.571 30.15, 107.745 30.2, 109.268 30.25, 112.579 30.3, 113.249 30.35, 121.137 30.4, 115.554 30.45, 118.863 30.5, 108.779 30.55, 122.623 30.6, 127.857 30.65, 175.396 30.7, 153.839 30.75, 177.213 30.8, 264.975 30.85, 403.475 30.9, 603.393 30.95, 739.19 31, 868.527 31.05, 895.174 31.1, 871.207 31.15, 767.671 31.2, 580.394 31.25, 411.294 31.3, 254.655 31.35, 174.042 31.4, 141.004 31.45, 132.848 31.5, 143.299 31.55, 173.763 31.6, 222.379 31.65, 273.548 31.7, 336.13 31.75, 342.951 31.8, 368.917 31.85, 344.129 31.9, 301.892 31.95, 257.527 32, 210.377 32.05, 153.977 32.1, 120.768 32.15, 111.966 32.2, 98.0284 32.25, 110.733 32.3, 105.261 32.35, 115.513 32.4, 136.501 32.45, 133.028 32.5, 153.976 32.55, 158.283 32.6, 155.428 32.65, 166.281 32.7, 160.161 32.75, 138.813 32.8, 129.654 32.85, 107.903 32.9, 102.454 32.95, 94.5222 33, 92.0796 33.05, 100.767 33.1, 93.1643 33.15, 100.026 33.2, 97.5103 33.25, 92.3957 33.3, 100.681 33.35, 93.7026 33.4, 96.3929 33.45, 94.2689 33.5, 91.6066 33.55, 94.2608 33.6, 107.175 33.65, 117.332 33.7, 137.671 33.75, 174.952 33.8, 207.309 33.85, 259.132 33.9, 300.681 33.95, 314.389 34, 329.562 34.05, 361.983 34.1, 371.593 34.15, 395.073 34.2, 391.143 34.25, 415.402 34.3, 393.297 34.35, 355.074 34.4, 304.059 34.45, 272.36 34.5, 225.305 34.55, 192.763 34.6, 152.001 34.65, 127.494 34.7, 118.867 34.75, 105.45 34.8, 94.9779 34.85, 101.963 34.9, 103.24 34.95, 95.7296 35, 108.992 35.05, 109.546 35.1, 102.401 35.15, 84.1487 35.2, 81.9302 35.25, 86.6041 35.3, 79.7155 35.35, 75.6335 35.4, 69.75 35.45, 80.7793 35.5, 90.6558 35.55, 86.4237 35.6, 91.7114 35.65, 95.0993 35.7, 100.998 35.75, 106.753 35.8, 101.731 35.85, 97.5402 35.9, 91.5666 35.95, 76.9891 36, 87.4706 36.05, 74.9705 36.1, 80.418 36.15, 86.7154 36.2, 74.3031 36.25, 76.7863 36.3, 75.0255 36.35, 74.8802 36.4, 75.4023 36.45, 83.6758 36.5, 96.0594 36.55, 106.377 36.6, 111.861 36.65, 123.033 36.7, 122.995 36.75, 121.306 36.8, 104.512 36.85, 97.0437 36.9, 87.2972 36.95, 81.8107 37, 79.5026 37.05, 94.4856 37.1, 88.2035 37.15, 90.048 37.2, 96.6403 37.25, 95.5503 37.3, 98.1725 37.35, 109.631 37.4, 102.054 37.45, 87.1145 37.5, 93.8161 37.55, 82.8187 37.6, 86.4447 37.65, 91.6111 37.7, 89.3556 37.75, 96.8057 37.8, 100.424 37.85, 108.682 37.9, 119.003 37.95, 146.577 38, 169.89 38.05, 187.787 38.1, 222.617 38.15, 246.909 38.2, 280.136 38.25, 307.215 38.3, 355.565 38.35, 374.372 38.4, 396.038 38.45, 408.873 38.5, 405.034 38.55, 364.031 38.6, 301.051 38.65, 237.771 38.7, 205.057 38.75, 155.038 38.8, 125.081 38.85, 125.815 38.9, 111.783 38.95, 112.803 39, 113.984 39.05, 104.173 39.1, 98.8269 39.15, 91.0478 39.2, 83.3717 39.25, 94.2669 39.3, 82.0646 39.35, 81.5847 39.4, 87.714 39.45, 79.3031 39.5, 82.9163 39.55, 74.2941 39.6, 68.8073 39.65, 69.4004 39.7, 66.89 39.75, 71.0475 39.8, 82.086 39.85, 68.7372 39.9, 75.0326 39.95, 82.5109 40, 76.7223 40.05, 78.2051 40.1, 80.0078 40.15, 76.4652 40.2, 79.8017 40.25, 73.8954 40.3, 72.1662 40.35, 69.2964 40.4, 65.2579 40.45, 63.606 40.5, 57.1831 40.55, 67.7481 40.6, 69.2039 40.65, 62.4805 40.7, 64.8241 40.75, 60.5795 40.8, 65.8448 40.85, 65.8946 40.9, 71.5383 40.95, 63.9805 41, 65.4028 41.05, 63.0202 41.1, 70.1225 41.15, 62.9188 41.2, 64.7539 41.25, 68.1278 41.3, 62.0451 41.35, 65.7195 41.4, 63.7496 41.45, 64.7594 41.5, 60.5558 41.55, 58.1129 41.6, 62.644 41.65, 66.126 41.7, 65.2706 41.75, 63.4685 41.8, 64.0723 41.85, 69.7443 41.9, 73.3811 41.95, 65.2524 42, 74.9744 42.05, 75.0714 42.1, 73.2667 42.15, 70.2575 42.2, 84.4453 42.25, 104.773 42.3, 134.644 42.35, 167.51 42.4, 197.606 42.45, 210.274 42.5, 234.61 42.55, 231.426 42.6, 221.562 42.65, 184.363 42.7, 159.794 42.75, 119.036 42.8, 94.3749 42.85, 80.8279 42.9, 68.4195 42.95, 74.1841 43, 70.2024 43.05, 85.797 43.1, 98.0433 43.15, 119.394 43.2, 129.999 43.25, 165.56 43.3, 185.255 43.35, 193.943 43.4, 179.897 43.45, 154.986 43.5, 126.506 43.55, 97.8582 43.6, 87.7898 43.65, 78.8295 43.7, 72.6112 43.75, 75.0684 43.8, 89.6284 43.85, 114.142 43.9, 132.282 43.95, 147.952 44, 170.762 44.05, 161.345 44.1, 144.564 44.15, 130.813 44.2, 97.5477 44.25, 100.605 44.3, 75.5479 44.35, 73.0798 44.4, 80.4792 44.45, 84.5338 44.5, 79.7691 44.55, 83.8729 44.6, 74.8709 44.65, 83.7093 44.7, 86.2172 44.75, 74.4081 44.8, 76.6827 44.85, 60.377 44.9, 70.6135 44.95, 74.1899 45, 79.0239 45.05, 88.2986 45.1, 88.1026 45.15, 104.118 45.2, 124.869 45.25, 134.619 45.3, 128.425 45.35, 125.921 45.4, 116.881 45.45, 100.342 45.5, 87.9974 45.55, 69.9281 45.6, 69.3782 45.65, 66.9399 45.7, 69.0222 45.75, 65.1063 45.8, 71.9017 45.85, 72.9114 45.9, 62.4412 45.95, 62.2408 46, 61.0867 46.05, 67.6466 46.1, 64.9648 46.15, 65.5866 46.2, 67.5901 46.25, 68.2137 46.3, 93.9934 46.35, 102.448 46.4, 107.513 46.45, 111.667 46.5, 113.148 46.55, 103.159 46.6, 101.72 46.65, 81.0757 46.7, 85.1819 46.75, 80.0704 46.8, 78.4372 46.85, 77.6207 46.9, 94.1369 46.95, 97.5739 47, 110.717 47.05, 110.931 47.1, 122.583 47.15, 119.802 47.2, 115.705 47.25, 115.885 47.3, 103.366 47.35, 104.685 47.4, 87.1101 47.45, 81.3722 47.5, 74.6896 47.55, 82.8715 47.6, 81.4467 47.65, 84.6185 47.7, 97.0086 47.75, 106.457 47.8, 112.86 47.85, 123.62 47.9, 107.603 47.95, 105.795 48, 96.57 48.05, 91.9926 48.1, 95.8746 48.15, 84.8921 48.2, 79.4172 48.25, 77.0807 48.3, 80.4581 48.35, 79.6738 48.4, 80.6699 48.45, 92.3809 48.5, 101.201 48.55, 126.071 48.6, 134.366 48.65, 146.469 48.7, 167.546 48.75, 181.118 48.8, 161.959 48.85, 163.343 48.9, 150.591 48.95, 130.337 49, 112.128 49.05, 99.6743 49.1, 85.1887 49.15, 76.8384 49.2, 64.1232 49.25, 69.2962 49.3, 62.5137 49.35, 62.827 49.4, 72.287 49.45, 65.4116 49.5, 79.7283 49.55, 97.1841 49.6, 129.899 49.65, 143.078 49.7, 172.328 49.75, 186.736 49.8, 184.968 49.85, 189.56 49.9, 181.587 49.95, 153.035 50, 137.935 50.05, 114.905 50.1, 95.7283 50.15, 79.9065 50.2, 74.597 50.25, 84.1548 50.3, 90.042 50.35, 87.4887 50.4, 98.7139 50.45, 99.0067 50.5, 86.9505 50.55, 87.7474 50.6, 85.9631 50.65, 80.4626 50.7, 71.6448 50.75, 68.9328 50.8, 73.0077 50.85, 77.8965 50.9, 81.1037 50.95, 95.3779 51, 111.735 51.05, 126.856 51.1, 138.096 51.15, 150.819 51.2, 154.439 51.25, 148.094 51.3, 136.172 51.35, 122.632 51.4, 100.177 51.45, 87.5869 51.5, 78.3764 51.55, 78.2191 51.6, 78.2709 51.65, 77.9636 51.7, 76.8107 51.75, 79.7183 51.8, 72.8587 51.85, 74.4016 51.9, 72.9933 51.95, 66.3762 52, 68.9021 52.05, 69.4564 52.1, 59.9374 52.15, 63.0054 52.2, 61.7298 52.25, 56.6701 52.3, 68.1494 52.35, 72.2003 52.4, 65.2643 52.45, 63.6699 52.5, 70.7034 52.55, 65.9846 52.6, 65.0781 52.65, 61.6054 52.7, 62.7069 52.75, 68.3216 52.8, 64.0696 52.85, 63.1407 52.9, 63.4841 52.95, 70.9688 53, 64.3216 53.05, 73.6743 53.1, 80.1206 53.15, 78.4602 53.2, 78.7641 53.25, 80.078 53.3, 73.1416 53.35, 72.4455 53.4, 66.7358 53.45, 60.9772 53.5, 55.981 53.55, 58.0423 53.6, 64.7429 53.65, 62.4937 53.7, 70.761 53.75, 83.0235 53.8, 83.5096 53.85, 85.7929 53.9, 75.5946 53.95, 82.0644 54, 69.741 54.05, 56.0518 54.1, 56.9974 54.15, 62.657 54.2, 61.1361 54.25, 62.0887 54.3, 76.3433 54.35, 82.6709 54.4, 87.0321 54.45, 86.4695 54.5, 91.7237 54.55, 81.1933 54.6, 76.4645 54.65, 74.3431 54.7, 64.7401 54.75, 59.1875 54.8, 63.3241 54.85, 59.1623 54.9, 61.9758 ##END= Sigima-1.1.1/sigima/data/tests/curve_formats/paracetamol_dx_dy.csv000066400000000000000000000761621514013333200253310ustar00rootroot000000000000002 theta (°), Intensity, dx, dy 5,144.95,0.333385,21.7425 5.05,130.958,0.3012034,11.78622 5.1,138.617,0.277234,12.47553 5.15,127.86,0.217362,10.2288 5.2,130.526,0.0783156,16.96838 5.25,129.117,0.1807638,14.20287 5.3,146.902,0.1028314,11.75216 5.35,126.054,0.2268972,18.9081 5.4,130.71,0.248349,11.7639 5.45,136.944,0.3286656,8.21664 5.5,132.646,0.2387628,19.8969 5.55,135.503,0.2168048,13.5503 5.6,131.31,0.223227,10.5048 5.65,134.392,0.1478312,8.06352 5.7,134.115,0.0938805,8.0469 5.75,142.336,0.1565696,15.65696 5.8,124.004,0.1736056,11.16036 5.85,137.182,0.3155186,8.23092 5.9,144.611,0.1012277,15.90721 5.95,125.155,0.1627015,12.5155 6,133.639,0.1603668,20.04585 6.05,137.911,0.1654932,16.54932 6.1,130.834,0.2878348,18.31676 6.15,127.603,0.1658839,8.93221 6.2,130.111,0.2732331,11.70999 6.25,128.666,0.2315988,10.29328 6.3,131.237,0.262474,17.06081 6.35,123.651,0.2720322,7.41906 6.4,133.444,0.1868216,12.00996 6.45,129.991,0.1429901,15.59892 6.5,124.31,0.211327,18.6465 6.55,125.31,0.25062,10.0248 6.6,127.22,0.06361,15.2664 6.65,126.525,0.20244,8.85675 6.7,118.994,0.0832958,9.51952 6.75,127.921,0.2302578,12.7921 6.8,124.564,0.124564,12.4564 6.85,133.317,0.0799902,7.99902 6.9,127.625,0.1021,19.14375 6.95,127.094,0.317735,16.52222 7,125.326,0.2757172,6.2663 7.05,126.764,0.190146,8.87348 7.1,126.101,0.0882707,7.56606 7.15,118.474,0.0947792,9.47792 7.2,127.064,0.31766,11.43576 7.25,131.091,0.1704183,9.17637 7.3,135.68,0.257792,12.2112 7.35,128.569,0.0642845,6.42845 7.4,129.097,0.1678261,16.78261 7.45,126.45,0.10116,12.645 7.5,128.518,0.1156662,8.99626 7.55,129.235,0.155082,16.80055 7.6,123.793,0.1980688,7.42758 7.65,126.139,0.2144363,8.82973 7.7,132.394,0.330985,6.6197 7.75,127.318,0.3055632,15.27816 7.8,126.314,0.3031536,17.68396 7.85,126.112,0.2648352,17.65568 7.9,132.29,0.119061,14.5519 7.95,136.732,0.2597908,12.30588 8,135.149,0.2432682,20.27235 8.05,139.587,0.2093805,6.97935 8.1,134.642,0.1615704,9.42494 8.15,139.803,0.3355272,20.97045 8.2,141.572,0.2265152,19.82008 8.25,153.708,0.1075956,23.0562 8.3,148.54,0.37135,8.9124 8.35,151.054,0.0906324,19.63702 8.4,153.85,0.292315,16.9235 8.45,157.294,0.1258352,22.02116 8.5,158.885,0.3018815,9.5331 8.55,162.167,0.1135169,22.70338 8.6,165.507,0.2979126,18.20577 8.65,156.191,0.1718101,17.18101 8.7,145.237,0.1597607,7.26185 8.75,151.594,0.1061158,7.5797 8.8,147.153,0.3678825,22.07295 8.85,141.447,0.2404599,12.73023 8.9,143.715,0.1868295,11.4972 8.95,127.63,0.063815,12.763 9,130.104,0.1040832,18.21456 9.05,130.851,0.1177659,14.39361 9.1,118.595,0.1778925,10.67355 9.15,130.604,0.2350872,9.14228 9.2,131.175,0.3279375,14.42925 9.25,118.46,0.082922,10.6614 9.3,126.75,0.316875,11.4075 9.35,126.365,0.3159125,15.1638 9.4,132.485,0.0927395,6.62425 9.45,126.401,0.1390411,17.69614 9.5,122.79,0.257859,12.279 9.55,126.146,0.2018336,6.3073 9.6,133.005,0.079803,14.63055 9.65,126.313,0.1136817,15.15756 9.7,124.658,0.124658,12.4658 9.75,128.092,0.1793288,15.37104 9.8,129.795,0.1946925,9.08565 9.85,124.484,0.2240712,11.20356 9.9,126.61,0.25322,15.1932 9.95,131.695,0.1975425,19.75425 10,127.967,0.3199175,10.23736 10.05,126.272,0.31568,11.36448 10.1,134.518,0.0941626,12.10662 10.15,119.874,0.2277606,17.9811 10.2,124.126,0.2979024,16.13638 10.25,132.356,0.2382408,18.52984 10.3,130.05,0.091035,6.5025 10.35,121.237,0.2182266,6.06185 10.4,120.844,0.2658568,14.50128 10.45,123.974,0.2231532,14.87688 10.5,122.742,0.306855,7.36452 10.55,124.796,0.2246328,6.2398 10.6,135.243,0.3110589,20.28645 10.65,126.549,0.2404431,13.92039 10.7,117.422,0.176133,14.09064 10.75,135.101,0.1891414,14.86111 10.8,134.725,0.0943075,20.20875 10.85,124.339,0.0994712,17.40746 10.9,121.157,0.3028925,10.90413 10.95,124.966,0.2874218,12.4966 11,119.67,0.215406,15.5571 11.05,124.525,0.0871675,8.71675 11.1,118.806,0.1425672,15.44478 11.15,124.037,0.2232666,14.88444 11.2,116.881,0.0818167,7.01286 11.25,122.862,0.2702964,12.2862 11.3,120.684,0.241368,16.89576 11.35,126.824,0.1141416,10.14592 11.4,137.45,0.30239,12.3705 11.45,131.534,0.2236078,14.46874 11.5,123.983,0.1983728,13.63813 11.55,132.546,0.2253282,14.58006 11.6,134.337,0.1746381,6.71685 11.65,130.428,0.1565136,9.12996 11.7,137.611,0.1651332,6.88055 11.75,133.468,0.2535892,20.0202 11.8,129.303,0.1551636,9.05121 11.85,121.403,0.0728418,18.21045 11.9,134.409,0.2016135,20.16135 11.95,126.763,0.0887341,12.6763 12,130.066,0.0910462,9.10462 12.05,125.678,0.1005424,13.82458 12.1,120.724,0.30181,6.0362 12.15,133.341,0.2000115,6.66705 12.2,118.668,0.2610696,14.24016 12.25,129.796,0.1168164,11.68164 12.3,120.248,0.120248,16.83472 12.35,118.123,0.2244337,16.53722 12.4,131.801,0.2372418,11.86209 12.45,125.781,0.2767182,18.86715 12.5,118.983,0.2736609,13.08813 12.55,125.76,0.276672,7.5456 12.6,118.283,0.2010811,16.55962 12.65,122.163,0.0732978,12.2163 12.7,114.645,0.1948965,10.31805 12.75,117.965,0.2477265,8.25755 12.8,132.209,0.2379762,11.89881 12.85,133.292,0.1866088,6.6646 12.9,130.209,0.1953135,11.71881 12.95,139.162,0.2504916,13.9162 13,128.423,0.3082152,19.26345 13.05,118.367,0.1420404,8.28569 13.1,125.668,0.2890364,13.82348 13.15,133.322,0.1199898,7.99932 13.2,114.769,0.1262459,10.32921 13.25,129.273,0.3102552,9.04911 13.3,129.894,0.1818516,18.18516 13.35,137.251,0.2333267,12.35259 13.4,150.487,0.3611688,22.57305 13.45,151.853,0.3492619,12.14824 13.5,174.944,0.1049664,10.49664 13.55,201.962,0.2625506,28.27468 13.6,237.979,0.3569685,14.27874 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Gain Index CUSP=0; Non-Trapezoidal Shaping PDMD=NORM; Peak Detect Mode (Min/Max) THSL=0.500; Slow Threshold TLLD=OFF; LLD Threshold THFA=12.12; Fast Threshold DACO=SHAPED; DAC Output DACF=50; DAC Offset RTDS=0.0; RTD Sensitivity RTDT=0.00; RTD Threshold BLRM=1; BLR Mode BLRD=3; BLR Down Correction BLRU=1; BLR Up Correction AUO1=SCA8; AUX_OUT Selection PRET=30.0; Preset Time PRER=OFF; Preset Real Time PREC=OFF; Preset Counts PRCL=1; Preset Counts Low Threshold PRCH=8191; Preset Counts High Threshold HVSE=-130; HV Set TECS=230; TEC Set PAPZ=OFF; Pole-Zero PAPS=8.5; Preamp 8.5/5 (N/A) SCOE=FA; Scope Trigger Edge SCOT=12; Scope Trigger Position SCOG=1; Digital Scope Gain MCSL=1; MCS Low Threshold MCSH=8191; MCS High Threshold MCST=0.01; MCS Timebase AUO2=ICR; AUX_OUT2 Selection TPMO=OFF; Test Pulser On/Off GPED=RI; G.P. Counter Edge GPIN=AUX1; G.P. Counter Input GPME=ON; G.P. Counter Uses MCA_EN? GPGA=ON; G.P. Counter Uses GATE? GPMC=ON; G.P. Counter Cleared With MCA Counters? MCAE=OFF; MCA/MCS Enable VOLU=ON; Speaker On/Off CON1=DAC; Connector 1 CON2=AUXOUT2; Connector 2 <> <> Device Type: PX5 Serial Number: 4521 Firmware: 6.09 Build: 7 FPGA: 7.01 Fast Count: 27944 Slow Count: 38575 GP Count: 0 Accumulation Time: 30.000000 Real Time: 30.116000 Dead Time: HV Volt: -130V TEC Temp: 230K Board Temp: 34C <> Sigima-1.1.1/sigima/data/tests/curve_formats/square2.npy000066400000000000000000020002001514013333200232250ustar00rootroot00000000000000NUMPYv{'descr': '㿀_x]F\n@׾$ Q(  Jʽ8k`D}a{E{*8)v4RU򱻀zpwn혺+j躀ۂefbCKl_@/ܹaYU֤ Tƿϸ5磌]N I*lHLP÷m4B='O=බws70ȴ61XqyUgA,9$iᴀ&Z ! 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DD.DDTDa De DƱ DPD#DD/{ DD: D5 DF D4Du D DDD DiDcDCLD4ND6DٍD4DDWDdD`D7DDDo=DDGDIQDVD͵DqDDBDַDDvDߘD&DvgDD&D+DUDXDRDDUGDDDDxDD>DID7D8DDbDzDkD\DDmDGD DDDnD}DjD]mDB&DD87DDDt*DDl DDDDDH@DJ0DSDDDD>D<DyD\rDTDDDDhDDDDD DDDD DDhDeD>DDmDD?DDDhDTDXDhD{Dy8DdDDDD[DcDaDD DD<(DD'DDD[D<D:DDHDDDD8DuDDZD^DUD NDP DQD\DD+<DDDQ5D DJD;DD7HD2DD݀DvD_ DD]D\DkD0DDDgDDDGDDaDBD-DmD-ADWDxDJD%D >DDDDz\DRDD!@DDD8MD@D.DDCD0CDDDDesDD88D>>DDXD#DD)DDDD^pDDND&D^GD DDnODHD{DD}DD8DTGDXEDDD:@DkDkDNDD>D:DHzDDoDQFDDD.iDEDD,MDzD/ADDDDDD>D:DhDAD)D3aD~DNDVDLDD߉DD6 Dg_ D>DDCDD}f DD DD@D Dm DlZ D D"D{ DݻDr<D@D DADD&^D[ D8V D)D@}D*DDD+D1 D DDB DtF D/ D¿ DUDDD D DA Da D > DxDn D* D DD D@2DMDi DJ}DKD$ DRq DE DD_DDB DDֻDDxDDz D DIDD Dh DVD( DD^ D[4D DD; DzDw D0* D D_ DDx D>[ DT D:D Drn D DD D D DE D DD Dm` D+D D DCD` D DD` D DO D>D DhDODxrDf[ DXDD0DNbDDӠD2DDJ Dp DDCDDDBDDEkDXiDLDDDMDoIDΈD]DyDyDQ?D6DDDODɦD8DWDڟDD!DWD>D DDDDD D~nDD-DD}4DDY@DMDDxXDD/DDI-DDDDE$D9@DDDXDD@DFD*D8D;DDyD!`D0DJzDSDDZDQDVDDEDD3D(DDDD[NDD{DDaVDKDqDQ[DɁDAD3DD!Di#DLDcpDqD_DD%PDAD!D"KDMDvDD/DDmDDD3D@DJD DDKDDE DDsD DDDD7D'DkDQDD6DDD`DDDSigima-1.1.1/sigima/data/tests/image_formats/coordinated_text/000077500000000000000000000000001514013333200244165ustar00rootroot00000000000000Sigima-1.1.1/sigima/data/tests/image_formats/coordinated_text/complex_image.txt000066400000000000000000030327651514013333200300100ustar00rootroot00000000000000# Created on 2020-12-03 09:35:32.835292 # By Username # Using matrislib 3.2.0 # nx : 100 # ny : 100 # X : xlabel (xunit) # Y : ylabel (yunit) # Zre : Real(zlabel) (zunit) # Zim : Imaginary(zlabel) (zunit) # Zre Error (zunit) # Zim Error (zunit) -5.000000e+00 -5.000000e+00 3.678795e-01 3.678795e-01 1.839397e-01 -3.678795e-01 -4.900000e+00 -5.000000e+00 3.752360e-01 3.752360e-01 1.876180e-01 -3.752360e-01 -4.800000e+00 -5.000000e+00 3.825867e-01 3.825867e-01 1.912933e-01 -3.825867e-01 -4.700000e+00 -5.000000e+00 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0.801076 0.801076 0.400538 -0.801076 2.3 -2.5 0.793898 0.793898 0.396949 -0.793898 2.4 -2.5 0.786471 0.786471 0.393235 -0.786471 2.5 -2.5 0.778801 0.778801 0.3894 -0.778801 2.6 -2.5 0.770897 0.770897 0.385449 -0.770897 2.7 -2.5 0.762769 0.762769 0.381385 -0.762769 2.8 -2.5 0.754425 0.754425 0.377212 -0.754425 2.9 -2.5 0.745873 0.745873 0.372936 -0.745873 3 -2.5 0.737123 0.737123 0.368562 -0.737123 3.1 -2.5 0.728185 0.728185 0.364093 -0.728185 3.2 -2.5 0.719068 0.719068 0.359534 -0.719068 3.3 -2.5 0.70978 0.70978 0.35489 -0.70978 3.4 -2.5 0.700333 0.700333 0.350166 -0.700333 3.5 -2.5 0.690734 0.690734 0.345367 -0.690734 3.6 -2.5 0.680995 0.680995 0.340498 -0.680995 3.7 -2.5 0.671125 0.671125 0.335562 -0.671125 3.8 -2.5 0.661133 0.661133 0.330567 -0.661133 3.9 -2.5 0.65103 0.65103 0.325515 -0.65103 4 -2.5 0.640824 0.640824 0.320412 -0.640824 4.1 -2.5 0.630527 0.630527 0.315263 -0.630527 4.2 -2.5 0.620146 0.620146 0.310073 -0.620146 4.3 -2.5 0.609693 0.609693 0.304846 -0.609693 4.4 -2.5 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-2.3 0.843159 0.843159 0.421579 -0.843159 1.9 -2.3 0.836942 0.836942 0.418471 -0.836942 2 -2.3 0.83044 0.83044 0.41522 -0.83044 2.1 -2.3 0.823658 0.823658 0.411829 -0.823658 2.2 -2.3 0.816605 0.816605 0.408302 -0.816605 2.3 -2.3 0.809288 0.809288 0.404644 -0.809288 2.4 -2.3 0.801717 0.801717 0.400858 -0.801717 2.5 -2.3 0.793898 0.793898 0.396949 -0.793898 2.6 -2.3 0.785842 0.785842 0.392921 -0.785842 2.7 -2.3 0.777556 0.777556 0.388778 -0.777556 2.8 -2.3 0.769049 0.769049 0.384525 -0.769049 2.9 -2.3 0.760332 0.760332 0.380166 -0.760332 3 -2.3 0.751413 0.751413 0.375706 -0.751413 3.1 -2.3 0.742301 0.742301 0.371151 -0.742301 3.2 -2.3 0.733007 0.733007 0.366504 -0.733007 3.3 -2.3 0.72354 0.72354 0.36177 -0.72354 3.4 -2.3 0.713909 0.713909 0.356954 -0.713909 3.5 -2.3 0.704125 0.704125 0.352062 -0.704125 3.6 -2.3 0.694197 0.694197 0.347098 -0.694197 3.7 -2.3 0.684135 0.684135 0.342068 -0.684135 3.8 -2.3 0.67395 0.67395 0.336975 -0.67395 3.9 -2.3 0.66365 0.66365 0.331825 -0.66365 4 -2.3 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2.7 -2.2 0.784585 0.784585 0.392293 -0.784585 2.8 -2.2 0.776002 0.776002 0.388001 -0.776002 2.9 -2.2 0.767206 0.767206 0.383603 -0.767206 3 -2.2 0.758206 0.758206 0.379103 -0.758206 3.1 -2.2 0.749012 0.749012 0.374506 -0.749012 3.2 -2.2 0.739634 0.739634 0.369817 -0.739634 3.3 -2.2 0.730081 0.730081 0.36504 -0.730081 3.4 -2.2 0.720363 0.720363 0.360182 -0.720363 3.5 -2.2 0.71049 0.71049 0.355245 -0.71049 3.6 -2.2 0.700473 0.700473 0.350236 -0.700473 3.7 -2.2 0.69032 0.69032 0.34516 -0.69032 3.8 -2.2 0.680042 0.680042 0.340021 -0.680042 3.9 -2.2 0.66965 0.66965 0.334825 -0.66965 4 -2.2 0.659153 0.659153 0.329576 -0.659153 4.1 -2.2 0.64856 0.64856 0.32428 -0.64856 4.2 -2.2 0.637883 0.637883 0.318942 -0.637883 4.3 -2.2 0.627131 0.627131 0.313565 -0.627131 4.4 -2.2 0.616313 0.616313 0.308157 -0.616313 4.5 -2.2 0.60544 0.60544 0.30272 -0.60544 4.6 -2.2 0.594521 0.594521 0.29726 -0.594521 4.7 -2.2 0.583565 0.583565 0.291782 -0.583565 4.8 -2.2 0.572582 0.572582 0.286291 -0.572582 4.9 -2.2 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0.899425 0.899425 0.449712 -0.899425 2.4 -0.1 0.89101 0.89101 0.445505 -0.89101 2.5 -0.1 0.88232 0.88232 0.44116 -0.88232 2.6 -0.1 0.873366 0.873366 0.436683 -0.873366 2.7 -0.1 0.864158 0.864158 0.432079 -0.864158 2.8 -0.1 0.854704 0.854704 0.427352 -0.854704 2.9 -0.1 0.845016 0.845016 0.422508 -0.845016 3 -0.1 0.835103 0.835103 0.417552 -0.835103 3.1 -0.1 0.824977 0.824977 0.412488 -0.824977 3.2 -0.1 0.814647 0.814647 0.407324 -0.814647 3.3 -0.1 0.804125 0.804125 0.402063 -0.804125 3.4 -0.1 0.793422 0.793422 0.396711 -0.793422 3.5 -0.1 0.782548 0.782548 0.391274 -0.782548 3.6 -0.1 0.771514 0.771514 0.385757 -0.771514 3.7 -0.1 0.760332 0.760332 0.380166 -0.760332 3.8 -0.1 0.749012 0.749012 0.374506 -0.749012 3.9 -0.1 0.737566 0.737566 0.368783 -0.737566 4 -0.1 0.726004 0.726004 0.363002 -0.726004 4.1 -0.1 0.714337 0.714337 0.357169 -0.714337 4.2 -0.1 0.702577 0.702577 0.351289 -0.702577 4.3 -0.1 0.690734 0.690734 0.345367 -0.690734 4.4 -0.1 0.67882 0.67882 0.33941 -0.67882 4.5 -0.1 0.666843 0.666843 0.333422 -0.666843 4.6 -0.1 0.654817 0.654817 0.327408 -0.654817 4.7 -0.1 0.64275 0.64275 0.321375 -0.64275 4.8 -0.1 0.630653 0.630653 0.315326 -0.630653 4.9 -0.1 0.618536 0.618536 0.309268 -0.618536 -5 0 0.606531 0.606531 0.303265 -0.606531 -4.9 0 0.61866 0.61866 0.30933 -0.61866 -4.8 0 0.630779 0.630779 0.315389 -0.630779 -4.7 0 0.642878 0.642878 0.321439 -0.642878 -4.6 0 0.654948 0.654948 0.327474 -0.654948 -4.5 0 0.666977 0.666977 0.333488 -0.666977 -4.4 0 0.678955 0.678955 0.339478 -0.678955 -4.3 0 0.690872 0.690872 0.345436 -0.690872 -4.2 0 0.702718 0.702718 0.351359 -0.702718 -4.1 0 0.71448 0.71448 0.35724 -0.71448 -4 0 0.726149 0.726149 0.363075 -0.726149 -3.9 0 0.737713 0.737713 0.368857 -0.737713 -3.8 0 0.749162 0.749162 0.374581 -0.749162 -3.7 0 0.760484 0.760484 0.380242 -0.760484 -3.6 0 0.771669 0.771669 0.385834 -0.771669 -3.5 0 0.782705 0.782705 0.391352 -0.782705 -3.4 0 0.793581 0.793581 0.39679 -0.793581 -3.3 0 0.804286 0.804286 0.402143 -0.804286 -3.2 0 0.81481 0.81481 0.407405 -0.81481 -3.1 0 0.825142 0.825142 0.412571 -0.825142 -3 0 0.83527 0.83527 0.417635 -0.83527 -2.9 0 0.845185 0.845185 0.422592 -0.845185 -2.8 0 0.854875 0.854875 0.427438 -0.854875 -2.7 0 0.864331 0.864331 0.432165 -0.864331 -2.6 0 0.873541 0.873541 0.436771 -0.873541 -2.5 0 0.882497 0.882497 0.441248 -0.882497 -2.4 0 0.891188 0.891188 0.445594 -0.891188 -2.3 0 0.899605 0.899605 0.449802 -0.899605 -2.2 0 0.907738 0.907738 0.453869 -0.907738 -2.1 0 0.915578 0.915578 0.457789 -0.915578 -2 0 0.923116 0.923116 0.461558 -0.923116 -1.9 0 0.930345 0.930345 0.465172 -0.930345 -1.8 0 0.937255 0.937255 0.468627 -0.937255 -1.7 0 0.943839 0.943839 0.471919 -0.943839 -1.6 0 0.950089 0.950089 0.475044 -0.950089 -1.5 0 0.955997 0.955997 0.477999 -0.955997 -1.4 0 0.961558 0.961558 0.480779 -0.961558 -1.3 0 0.966765 0.966765 0.483382 -0.966765 -1.2 0 0.971611 0.971611 0.485805 -0.971611 -1.1 0 0.97609 0.97609 0.488045 -0.97609 -1 0 0.980199 0.980199 0.490099 -0.980199 -0.9 0 0.983931 0.983931 0.491965 -0.983931 -0.8 0 0.987282 0.987282 0.493641 -0.987282 -0.7 0 0.990248 0.990248 0.495124 -0.990248 -0.6 0 0.992826 0.992826 0.496413 -0.992826 -0.5 0 0.995012 0.995012 0.497506 -0.995012 -0.4 0 0.996805 0.996805 0.498403 -0.996805 -0.3 0 0.998202 0.998202 0.499101 -0.998202 -0.2 0 0.9992 0.9992 0.4996 -0.9992 -0.1 0 0.9998 0.9998 0.4999 -0.9998 0 0 1 1 0.5 -1 0.1 0 0.9998 0.9998 0.4999 -0.9998 0.2 0 0.9992 0.9992 0.4996 -0.9992 0.3 0 0.998202 0.998202 0.499101 -0.998202 0.4 0 0.996805 0.996805 0.498403 -0.996805 0.5 0 0.995012 0.995012 0.497506 -0.995012 0.6 0 0.992826 0.992826 0.496413 -0.992826 0.7 0 0.990248 0.990248 0.495124 -0.990248 0.8 0 0.987282 0.987282 0.493641 -0.987282 0.9 0 0.983931 0.983931 0.491965 -0.983931 1 0 0.980199 0.980199 0.490099 -0.980199 1.1 0 0.97609 0.97609 0.488045 -0.97609 1.2 0 0.971611 0.971611 0.485805 -0.971611 1.3 0 0.966765 0.966765 0.483382 -0.966765 1.4 0 0.961558 0.961558 0.480779 -0.961558 1.5 0 0.955997 0.955997 0.477999 -0.955997 1.6 0 0.950089 0.950089 0.475044 -0.950089 1.7 0 0.943839 0.943839 0.471919 -0.943839 1.8 0 0.937255 0.937255 0.468627 -0.937255 1.9 0 0.930345 0.930345 0.465172 -0.930345 2 0 0.923116 0.923116 0.461558 -0.923116 2.1 0 0.915578 0.915578 0.457789 -0.915578 2.2 0 0.907738 0.907738 0.453869 -0.907738 2.3 0 0.899605 0.899605 0.449802 -0.899605 2.4 0 0.891188 0.891188 0.445594 -0.891188 2.5 0 0.882497 0.882497 0.441248 -0.882497 2.6 0 0.873541 0.873541 0.436771 -0.873541 2.7 0 0.864331 0.864331 0.432165 -0.864331 2.8 0 0.854875 0.854875 0.427438 -0.854875 2.9 0 0.845185 0.845185 0.422592 -0.845185 3 0 0.83527 0.83527 0.417635 -0.83527 3.1 0 0.825142 0.825142 0.412571 -0.825142 3.2 0 0.81481 0.81481 0.407405 -0.81481 3.3 0 0.804286 0.804286 0.402143 -0.804286 3.4 0 0.793581 0.793581 0.39679 -0.793581 3.5 0 0.782705 0.782705 0.391352 -0.782705 3.6 0 0.771669 0.771669 0.385834 -0.771669 3.7 0 0.760484 0.760484 0.380242 -0.760484 3.8 0 0.749162 0.749162 0.374581 -0.749162 3.9 0 0.737713 0.737713 0.368857 -0.737713 4 0 0.726149 0.726149 0.363075 -0.726149 4.1 0 0.71448 0.71448 0.35724 -0.71448 4.2 0 0.702718 0.702718 0.351359 -0.702718 4.3 0 0.690872 0.690872 0.345436 -0.690872 4.4 0 0.678955 0.678955 0.339478 -0.678955 4.5 0 0.666977 0.666977 0.333488 -0.666977 4.6 0 0.654948 0.654948 0.327474 -0.654948 4.7 0 0.642878 0.642878 0.321439 -0.642878 4.8 0 0.630779 0.630779 0.315389 -0.630779 4.9 0 0.61866 0.61866 0.30933 -0.61866 -5 0.1 0.606409 0.606409 0.303205 -0.606409 -4.9 0.1 0.618536 0.618536 0.309268 -0.618536 -4.8 0.1 0.630653 0.630653 0.315326 -0.630653 -4.7 0.1 0.64275 0.64275 0.321375 -0.64275 -4.6 0.1 0.654817 0.654817 0.327408 -0.654817 -4.5 0.1 0.666843 0.666843 0.333422 -0.666843 -4.4 0.1 0.67882 0.67882 0.33941 -0.67882 -4.3 0.1 0.690734 0.690734 0.345367 -0.690734 -4.2 0.1 0.702577 0.702577 0.351289 -0.702577 -4.1 0.1 0.714337 0.714337 0.357169 -0.714337 -4 0.1 0.726004 0.726004 0.363002 -0.726004 -3.9 0.1 0.737566 0.737566 0.368783 -0.737566 -3.8 0.1 0.749012 0.749012 0.374506 -0.749012 -3.7 0.1 0.760332 0.760332 0.380166 -0.760332 -3.6 0.1 0.771514 0.771514 0.385757 -0.771514 -3.5 0.1 0.782548 0.782548 0.391274 -0.782548 -3.4 0.1 0.793422 0.793422 0.396711 -0.793422 -3.3 0.1 0.804125 0.804125 0.402063 -0.804125 -3.2 0.1 0.814647 0.814647 0.407324 -0.814647 -3.1 0.1 0.824977 0.824977 0.412488 -0.824977 -3 0.1 0.835103 0.835103 0.417552 -0.835103 -2.9 0.1 0.845016 0.845016 0.422508 -0.845016 -2.8 0.1 0.854704 0.854704 0.427352 -0.854704 -2.7 0.1 0.864158 0.864158 0.432079 -0.864158 -2.6 0.1 0.873366 0.873366 0.436683 -0.873366 -2.5 0.1 0.88232 0.88232 0.44116 -0.88232 -2.4 0.1 0.89101 0.89101 0.445505 -0.89101 -2.3 0.1 0.899425 0.899425 0.449712 -0.899425 -2.2 0.1 0.907556 0.907556 0.453778 -0.907556 -2.1 0.1 0.915395 0.915395 0.457697 -0.915395 -2 0.1 0.922932 0.922932 0.461466 -0.922932 -1.9 0.1 0.930159 0.930159 0.465079 -0.930159 -1.8 0.1 0.937067 0.937067 0.468534 -0.937067 -1.7 0.1 0.94365 0.94365 0.471825 -0.94365 -1.6 0.1 0.949899 0.949899 0.474949 -0.949899 -1.5 0.1 0.955806 0.955806 0.477903 -0.955806 -1.4 0.1 0.961366 0.961366 0.480683 -0.961366 -1.3 0.1 0.966572 0.966572 0.483286 -0.966572 -1.2 0.1 0.971416 0.971416 0.485708 -0.971416 -1.1 0.1 0.975895 0.975895 0.487948 -0.975895 -1 0.1 0.980003 0.980003 0.490001 -0.980003 -0.9 0.1 0.983734 0.983734 0.491867 -0.983734 -0.8 0.1 0.987084 0.987084 0.493542 -0.987084 -0.7 0.1 0.99005 0.99005 0.495025 -0.99005 -0.6 0.1 0.992627 0.992627 0.496314 -0.992627 -0.5 0.1 0.994813 0.994813 0.497407 -0.994813 -0.4 0.1 0.996606 0.996606 0.498303 -0.996606 -0.3 0.1 0.998002 0.998002 0.499001 -0.998002 -0.2 0.1 0.999 0.999 0.4995 -0.999 -0.1 0.1 0.9996 0.9996 0.4998 -0.9996 0 0.1 0.9998 0.9998 0.4999 -0.9998 0.1 0.1 0.9996 0.9996 0.4998 -0.9996 0.2 0.1 0.999 0.999 0.4995 -0.999 0.3 0.1 0.998002 0.998002 0.499001 -0.998002 0.4 0.1 0.996606 0.996606 0.498303 -0.996606 0.5 0.1 0.994813 0.994813 0.497407 -0.994813 0.6 0.1 0.992627 0.992627 0.496314 -0.992627 0.7 0.1 0.99005 0.99005 0.495025 -0.99005 0.8 0.1 0.987084 0.987084 0.493542 -0.987084 0.9 0.1 0.983734 0.983734 0.491867 -0.983734 1 0.1 0.980003 0.980003 0.490001 -0.980003 1.1 0.1 0.975895 0.975895 0.487948 -0.975895 1.2 0.1 0.971416 0.971416 0.485708 -0.971416 1.3 0.1 0.966572 0.966572 0.483286 -0.966572 1.4 0.1 0.961366 0.961366 0.480683 -0.961366 1.5 0.1 0.955806 0.955806 0.477903 -0.955806 1.6 0.1 0.949899 0.949899 0.474949 -0.949899 1.7 0.1 0.94365 0.94365 0.471825 -0.94365 1.8 0.1 0.937067 0.937067 0.468534 -0.937067 1.9 0.1 0.930159 0.930159 0.465079 -0.930159 2 0.1 0.922932 0.922932 0.461466 -0.922932 2.1 0.1 0.915395 0.915395 0.457697 -0.915395 2.2 0.1 0.907556 0.907556 0.453778 -0.907556 2.3 0.1 0.899425 0.899425 0.449712 -0.899425 2.4 0.1 0.89101 0.89101 0.445505 -0.89101 2.5 0.1 0.88232 0.88232 0.44116 -0.88232 2.6 0.1 0.873366 0.873366 0.436683 -0.873366 2.7 0.1 0.864158 0.864158 0.432079 -0.864158 2.8 0.1 0.854704 0.854704 0.427352 -0.854704 2.9 0.1 0.845016 0.845016 0.422508 -0.845016 3 0.1 0.835103 0.835103 0.417552 -0.835103 3.1 0.1 0.824977 0.824977 0.412488 -0.824977 3.2 0.1 0.814647 0.814647 0.407324 -0.814647 3.3 0.1 0.804125 0.804125 0.402063 -0.804125 3.4 0.1 0.793422 0.793422 0.396711 -0.793422 3.5 0.1 0.782548 0.782548 0.391274 -0.782548 3.6 0.1 0.771514 0.771514 0.385757 -0.771514 3.7 0.1 0.760332 0.760332 0.380166 -0.760332 3.8 0.1 0.749012 0.749012 0.374506 -0.749012 3.9 0.1 0.737566 0.737566 0.368783 -0.737566 4 0.1 0.726004 0.726004 0.363002 -0.726004 4.1 0.1 0.714337 0.714337 0.357169 -0.714337 4.2 0.1 0.702577 0.702577 0.351289 -0.702577 4.3 0.1 0.690734 0.690734 0.345367 -0.690734 4.4 0.1 0.67882 0.67882 0.33941 -0.67882 4.5 0.1 0.666843 0.666843 0.333422 -0.666843 4.6 0.1 0.654817 0.654817 0.327408 -0.654817 4.7 0.1 0.64275 0.64275 0.321375 -0.64275 4.8 0.1 0.630653 0.630653 0.315326 -0.630653 4.9 0.1 0.618536 0.618536 0.309268 -0.618536 -5 0.2 0.606046 0.606046 0.303023 -0.606046 -4.9 0.2 0.618165 0.618165 0.309082 -0.618165 -4.8 0.2 0.630274 0.630274 0.315137 -0.630274 -4.7 0.2 0.642364 0.642364 0.321182 -0.642364 -4.6 0.2 0.654424 0.654424 0.327212 -0.654424 -4.5 0.2 0.666443 0.666443 0.333222 -0.666443 -4.4 0.2 0.678412 0.678412 0.339206 -0.678412 -4.3 0.2 0.69032 0.69032 0.34516 -0.69032 -4.2 0.2 0.702156 0.702156 0.351078 -0.702156 -4.1 0.2 0.713909 0.713909 0.356954 -0.713909 -4 0.2 0.725568 0.725568 0.362784 -0.725568 -3.9 0.2 0.737123 0.737123 0.368562 -0.737123 -3.8 0.2 0.748563 0.748563 0.374281 -0.748563 -3.7 0.2 0.759876 0.759876 0.379938 -0.759876 -3.6 0.2 0.771052 0.771052 0.385526 -0.771052 -3.5 0.2 0.782079 0.782079 0.391039 -0.782079 -3.4 0.2 0.792946 0.792946 0.396473 -0.792946 -3.3 0.2 0.803643 0.803643 0.401822 -0.803643 -3.2 0.2 0.814159 0.814159 0.407079 -0.814159 -3.1 0.2 0.824482 0.824482 0.412241 -0.824482 -3 0.2 0.834602 0.834602 0.417301 -0.834602 -2.9 0.2 0.844509 0.844509 0.422254 -0.844509 -2.8 0.2 0.854191 0.854191 0.427096 -0.854191 -2.7 0.2 0.863639 0.863639 0.43182 -0.863639 -2.6 0.2 0.872843 0.872843 0.436421 -0.872843 -2.5 0.2 0.881791 0.881791 0.440896 -0.881791 -2.4 0.2 0.890475 0.890475 0.445238 -0.890475 -2.3 0.2 0.898885 0.898885 0.449443 -0.898885 -2.2 0.2 0.907012 0.907012 0.453506 -0.907012 -2.1 0.2 0.914846 0.914846 0.457423 -0.914846 -2 0.2 0.922378 0.922378 0.461189 -0.922378 -1.9 0.2 0.929601 0.929601 0.4648 -0.929601 -1.8 0.2 0.936505 0.936505 0.468253 -0.936505 -1.7 0.2 0.943084 0.943084 0.471542 -0.943084 -1.6 0.2 0.949329 0.949329 0.474664 -0.949329 -1.5 0.2 0.955233 0.955233 0.477616 -0.955233 -1.4 0.2 0.960789 0.960789 0.480395 -0.960789 -1.3 0.2 0.965992 0.965992 0.482996 -0.965992 -1.2 0.2 0.970834 0.970834 0.485417 -0.970834 -1.1 0.2 0.97531 0.97531 0.487655 -0.97531 -1 0.2 0.979415 0.979415 0.489707 -0.979415 -0.9 0.2 0.983144 0.983144 0.491572 -0.983144 -0.8 0.2 0.986492 0.986492 0.493246 -0.986492 -0.7 0.2 0.989456 0.989456 0.494728 -0.989456 -0.6 0.2 0.992032 0.992032 0.496016 -0.992032 -0.5 0.2 0.994217 0.994217 0.497108 -0.994217 -0.4 0.2 0.996008 0.996008 0.498004 -0.996008 -0.3 0.2 0.997403 0.997403 0.498702 -0.997403 -0.2 0.2 0.998401 0.998401 0.499201 -0.998401 -0.1 0.2 0.999 0.999 0.4995 -0.999 0 0.2 0.9992 0.9992 0.4996 -0.9992 0.1 0.2 0.999 0.999 0.4995 -0.999 0.2 0.2 0.998401 0.998401 0.499201 -0.998401 0.3 0.2 0.997403 0.997403 0.498702 -0.997403 0.4 0.2 0.996008 0.996008 0.498004 -0.996008 0.5 0.2 0.994217 0.994217 0.497108 -0.994217 0.6 0.2 0.992032 0.992032 0.496016 -0.992032 0.7 0.2 0.989456 0.989456 0.494728 -0.989456 0.8 0.2 0.986492 0.986492 0.493246 -0.986492 0.9 0.2 0.983144 0.983144 0.491572 -0.983144 1 0.2 0.979415 0.979415 0.489707 -0.979415 1.1 0.2 0.97531 0.97531 0.487655 -0.97531 1.2 0.2 0.970834 0.970834 0.485417 -0.970834 1.3 0.2 0.965992 0.965992 0.482996 -0.965992 1.4 0.2 0.960789 0.960789 0.480395 -0.960789 1.5 0.2 0.955233 0.955233 0.477616 -0.955233 1.6 0.2 0.949329 0.949329 0.474664 -0.949329 1.7 0.2 0.943084 0.943084 0.471542 -0.943084 1.8 0.2 0.936505 0.936505 0.468253 -0.936505 1.9 0.2 0.929601 0.929601 0.4648 -0.929601 2 0.2 0.922378 0.922378 0.461189 -0.922378 2.1 0.2 0.914846 0.914846 0.457423 -0.914846 2.2 0.2 0.907012 0.907012 0.453506 -0.907012 2.3 0.2 0.898885 0.898885 0.449443 -0.898885 2.4 0.2 0.890475 0.890475 0.445238 -0.890475 2.5 0.2 0.881791 0.881791 0.440896 -0.881791 2.6 0.2 0.872843 0.872843 0.436421 -0.872843 2.7 0.2 0.863639 0.863639 0.43182 -0.863639 2.8 0.2 0.854191 0.854191 0.427096 -0.854191 2.9 0.2 0.844509 0.844509 0.422254 -0.844509 3 0.2 0.834602 0.834602 0.417301 -0.834602 3.1 0.2 0.824482 0.824482 0.412241 -0.824482 3.2 0.2 0.814159 0.814159 0.407079 -0.814159 3.3 0.2 0.803643 0.803643 0.401822 -0.803643 3.4 0.2 0.792946 0.792946 0.396473 -0.792946 3.5 0.2 0.782079 0.782079 0.391039 -0.782079 3.6 0.2 0.771052 0.771052 0.385526 -0.771052 3.7 0.2 0.759876 0.759876 0.379938 -0.759876 3.8 0.2 0.748563 0.748563 0.374281 -0.748563 3.9 0.2 0.737123 0.737123 0.368562 -0.737123 4 0.2 0.725568 0.725568 0.362784 -0.725568 4.1 0.2 0.713909 0.713909 0.356954 -0.713909 4.2 0.2 0.702156 0.702156 0.351078 -0.702156 4.3 0.2 0.69032 0.69032 0.34516 -0.69032 4.4 0.2 0.678412 0.678412 0.339206 -0.678412 4.5 0.2 0.666443 0.666443 0.333222 -0.666443 4.6 0.2 0.654424 0.654424 0.327212 -0.654424 4.7 0.2 0.642364 0.642364 0.321182 -0.642364 4.8 0.2 0.630274 0.630274 0.315137 -0.630274 4.9 0.2 0.618165 0.618165 0.309082 -0.618165 -5 0.3 0.60544 0.60544 0.30272 -0.60544 -4.9 0.3 0.617547 0.617547 0.308774 -0.617547 -4.8 0.3 0.629644 0.629644 0.314822 -0.629644 -4.7 0.3 0.641722 0.641722 0.320861 -0.641722 -4.6 0.3 0.65377 0.65377 0.326885 -0.65377 -4.5 0.3 0.665777 0.665777 0.332889 -0.665777 -4.4 0.3 0.677734 0.677734 0.338867 -0.677734 -4.3 0.3 0.68963 0.68963 0.344815 -0.68963 -4.2 0.3 0.701454 0.701454 0.350727 -0.701454 -4.1 0.3 0.713195 0.713195 0.356598 -0.713195 -4 0.3 0.724843 0.724843 0.362422 -0.724843 -3.9 0.3 0.736387 0.736387 0.368193 -0.736387 -3.8 0.3 0.747815 0.747815 0.373907 -0.747815 -3.7 0.3 0.759117 0.759117 0.379558 -0.759117 -3.6 0.3 0.770281 0.770281 0.38514 -0.770281 -3.5 0.3 0.781297 0.781297 0.390648 -0.781297 -3.4 0.3 0.792154 0.792154 0.396077 -0.792154 -3.3 0.3 0.80284 0.80284 0.40142 -0.80284 -3.2 0.3 0.813345 0.813345 0.406672 -0.813345 -3.1 0.3 0.823658 0.823658 0.411829 -0.823658 -3 0.3 0.833768 0.833768 0.416884 -0.833768 -2.9 0.3 0.843665 0.843665 0.421832 -0.843665 -2.8 0.3 0.853338 0.853338 0.426669 -0.853338 -2.7 0.3 0.862776 0.862776 0.431388 -0.862776 -2.6 0.3 0.87197 0.87197 0.435985 -0.87197 -2.5 0.3 0.88091 0.88091 0.440455 -0.88091 -2.4 0.3 0.889585 0.889585 0.444793 -0.889585 -2.3 0.3 0.897987 0.897987 0.448993 -0.897987 -2.2 0.3 0.906105 0.906105 0.453053 -0.906105 -2.1 0.3 0.913931 0.913931 0.456966 -0.913931 -2 0.3 0.921456 0.921456 0.460728 -0.921456 -1.9 0.3 0.928672 0.928672 0.464336 -0.928672 -1.8 0.3 0.935569 0.935569 0.467785 -0.935569 -1.7 0.3 0.942141 0.942141 0.471071 -0.942141 -1.6 0.3 0.94838 0.94838 0.47419 -0.94838 -1.5 0.3 0.954278 0.954278 0.477139 -0.954278 -1.4 0.3 0.959829 0.959829 0.479915 -0.959829 -1.3 0.3 0.965026 0.965026 0.482513 -0.965026 -1.2 0.3 0.969863 0.969863 0.484932 -0.969863 -1.1 0.3 0.974335 0.974335 0.487168 -0.974335 -1 0.3 0.978436 0.978436 0.489218 -0.978436 -0.9 0.3 0.982161 0.982161 0.491081 -0.982161 -0.8 0.3 0.985506 0.985506 0.492753 -0.985506 -0.7 0.3 0.988467 0.988467 0.494234 -0.988467 -0.6 0.3 0.99104 0.99104 0.49552 -0.99104 -0.5 0.3 0.993223 0.993223 0.496612 -0.993223 -0.4 0.3 0.995012 0.995012 0.497506 -0.995012 -0.3 0.3 0.996406 0.996406 0.498203 -0.996406 -0.2 0.3 0.997403 0.997403 0.498702 -0.997403 -0.1 0.3 0.998002 0.998002 0.499001 -0.998002 0 0.3 0.998202 0.998202 0.499101 -0.998202 0.1 0.3 0.998002 0.998002 0.499001 -0.998002 0.2 0.3 0.997403 0.997403 0.498702 -0.997403 0.3 0.3 0.996406 0.996406 0.498203 -0.996406 0.4 0.3 0.995012 0.995012 0.497506 -0.995012 0.5 0.3 0.993223 0.993223 0.496612 -0.993223 0.6 0.3 0.99104 0.99104 0.49552 -0.99104 0.7 0.3 0.988467 0.988467 0.494234 -0.988467 0.8 0.3 0.985506 0.985506 0.492753 -0.985506 0.9 0.3 0.982161 0.982161 0.491081 -0.982161 1 0.3 0.978436 0.978436 0.489218 -0.978436 1.1 0.3 0.974335 0.974335 0.487168 -0.974335 1.2 0.3 0.969863 0.969863 0.484932 -0.969863 1.3 0.3 0.965026 0.965026 0.482513 -0.965026 1.4 0.3 0.959829 0.959829 0.479915 -0.959829 1.5 0.3 0.954278 0.954278 0.477139 -0.954278 1.6 0.3 0.94838 0.94838 0.47419 -0.94838 1.7 0.3 0.942141 0.942141 0.471071 -0.942141 1.8 0.3 0.935569 0.935569 0.467785 -0.935569 1.9 0.3 0.928672 0.928672 0.464336 -0.928672 2 0.3 0.921456 0.921456 0.460728 -0.921456 2.1 0.3 0.913931 0.913931 0.456966 -0.913931 2.2 0.3 0.906105 0.906105 0.453053 -0.906105 2.3 0.3 0.897987 0.897987 0.448993 -0.897987 2.4 0.3 0.889585 0.889585 0.444793 -0.889585 2.5 0.3 0.88091 0.88091 0.440455 -0.88091 2.6 0.3 0.87197 0.87197 0.435985 -0.87197 2.7 0.3 0.862776 0.862776 0.431388 -0.862776 2.8 0.3 0.853338 0.853338 0.426669 -0.853338 2.9 0.3 0.843665 0.843665 0.421832 -0.843665 3 0.3 0.833768 0.833768 0.416884 -0.833768 3.1 0.3 0.823658 0.823658 0.411829 -0.823658 3.2 0.3 0.813345 0.813345 0.406672 -0.813345 3.3 0.3 0.80284 0.80284 0.40142 -0.80284 3.4 0.3 0.792154 0.792154 0.396077 -0.792154 3.5 0.3 0.781297 0.781297 0.390648 -0.781297 3.6 0.3 0.770281 0.770281 0.38514 -0.770281 3.7 0.3 0.759117 0.759117 0.379558 -0.759117 3.8 0.3 0.747815 0.747815 0.373907 -0.747815 3.9 0.3 0.736387 0.736387 0.368193 -0.736387 4 0.3 0.724843 0.724843 0.362422 -0.724843 4.1 0.3 0.713195 0.713195 0.356598 -0.713195 4.2 0.3 0.701454 0.701454 0.350727 -0.701454 4.3 0.3 0.68963 0.68963 0.344815 -0.68963 4.4 0.3 0.677734 0.677734 0.338867 -0.677734 4.5 0.3 0.665777 0.665777 0.332889 -0.665777 4.6 0.3 0.65377 0.65377 0.326885 -0.65377 4.7 0.3 0.641722 0.641722 0.320861 -0.641722 4.8 0.3 0.629644 0.629644 0.314822 -0.629644 4.9 0.3 0.617547 0.617547 0.308774 -0.617547 -5 0.4 0.604593 0.604593 0.302296 -0.604593 -4.9 0.4 0.616683 0.616683 0.308342 -0.616683 -4.8 0.4 0.628764 0.628764 0.314382 -0.628764 -4.7 0.4 0.640824 0.640824 0.320412 -0.640824 -4.6 0.4 0.652855 0.652855 0.326428 -0.652855 -4.5 0.4 0.664846 0.664846 0.332423 -0.664846 -4.4 0.4 0.676786 0.676786 0.338393 -0.676786 -4.3 0.4 0.688665 0.688665 0.344333 -0.688665 -4.2 0.4 0.700473 0.700473 0.350236 -0.700473 -4.1 0.4 0.712198 0.712198 0.356099 -0.712198 -4 0.4 0.723829 0.723829 0.361915 -0.723829 -3.9 0.4 0.735356 0.735356 0.367678 -0.735356 -3.8 0.4 0.746769 0.746769 0.373384 -0.746769 -3.7 0.4 0.758054 0.758054 0.379027 -0.758054 -3.6 0.4 0.769203 0.769203 0.384602 -0.769203 -3.5 0.4 0.780204 0.780204 0.390102 -0.780204 -3.4 0.4 0.791045 0.791045 0.395523 -0.791045 -3.3 0.4 0.801717 0.801717 0.400858 -0.801717 -3.2 0.4 0.812207 0.812207 0.406104 -0.812207 -3.1 0.4 0.822506 0.822506 0.411253 -0.822506 -3 0.4 0.832602 0.832602 0.416301 -0.832602 -2.9 0.4 0.842485 0.842485 0.421242 -0.842485 -2.8 0.4 0.852144 0.852144 0.426072 -0.852144 -2.7 0.4 0.861569 0.861569 0.430785 -0.861569 -2.6 0.4 0.87075 0.87075 0.435375 -0.87075 -2.5 0.4 0.879677 0.879677 0.439839 -0.879677 -2.4 0.4 0.888341 0.888341 0.44417 -0.888341 -2.3 0.4 0.89673 0.89673 0.448365 -0.89673 -2.2 0.4 0.904837 0.904837 0.452419 -0.904837 -2.1 0.4 0.912653 0.912653 0.456326 -0.912653 -2 0.4 0.920167 0.920167 0.460084 -0.920167 -1.9 0.4 0.927372 0.927372 0.463686 -0.927372 -1.8 0.4 0.93426 0.93426 0.46713 -0.93426 -1.7 0.4 0.940823 0.940823 0.470412 -0.940823 -1.6 0.4 0.947053 0.947053 0.473527 -0.947053 -1.5 0.4 0.952943 0.952943 0.476472 -0.952943 -1.4 0.4 0.958486 0.958486 0.479243 -0.958486 -1.3 0.4 0.963676 0.963676 0.481838 -0.963676 -1.2 0.4 0.968507 0.968507 0.484253 -0.968507 -1.1 0.4 0.972972 0.972972 0.486486 -0.972972 -1 0.4 0.977067 0.977067 0.488534 -0.977067 -0.9 0.4 0.980787 0.980787 0.490393 -0.980787 -0.8 0.4 0.984127 0.984127 0.492064 -0.984127 -0.7 0.4 0.987084 0.987084 0.493542 -0.987084 -0.6 0.4 0.989654 0.989654 0.494827 -0.989654 -0.5 0.4 0.991834 0.991834 0.495917 -0.991834 -0.4 0.4 0.99362 0.99362 0.49681 -0.99362 -0.3 0.4 0.995012 0.995012 0.497506 -0.995012 -0.2 0.4 0.996008 0.996008 0.498004 -0.996008 -0.1 0.4 0.996606 0.996606 0.498303 -0.996606 0 0.4 0.996805 0.996805 0.498403 -0.996805 0.1 0.4 0.996606 0.996606 0.498303 -0.996606 0.2 0.4 0.996008 0.996008 0.498004 -0.996008 0.3 0.4 0.995012 0.995012 0.497506 -0.995012 0.4 0.4 0.99362 0.99362 0.49681 -0.99362 0.5 0.4 0.991834 0.991834 0.495917 -0.991834 0.6 0.4 0.989654 0.989654 0.494827 -0.989654 0.7 0.4 0.987084 0.987084 0.493542 -0.987084 0.8 0.4 0.984127 0.984127 0.492064 -0.984127 0.9 0.4 0.980787 0.980787 0.490393 -0.980787 1 0.4 0.977067 0.977067 0.488534 -0.977067 1.1 0.4 0.972972 0.972972 0.486486 -0.972972 1.2 0.4 0.968507 0.968507 0.484253 -0.968507 1.3 0.4 0.963676 0.963676 0.481838 -0.963676 1.4 0.4 0.958486 0.958486 0.479243 -0.958486 1.5 0.4 0.952943 0.952943 0.476472 -0.952943 1.6 0.4 0.947053 0.947053 0.473527 -0.947053 1.7 0.4 0.940823 0.940823 0.470412 -0.940823 1.8 0.4 0.93426 0.93426 0.46713 -0.93426 1.9 0.4 0.927372 0.927372 0.463686 -0.927372 2 0.4 0.920167 0.920167 0.460084 -0.920167 2.1 0.4 0.912653 0.912653 0.456326 -0.912653 2.2 0.4 0.904837 0.904837 0.452419 -0.904837 2.3 0.4 0.89673 0.89673 0.448365 -0.89673 2.4 0.4 0.888341 0.888341 0.44417 -0.888341 2.5 0.4 0.879677 0.879677 0.439839 -0.879677 2.6 0.4 0.87075 0.87075 0.435375 -0.87075 2.7 0.4 0.861569 0.861569 0.430785 -0.861569 2.8 0.4 0.852144 0.852144 0.426072 -0.852144 2.9 0.4 0.842485 0.842485 0.421242 -0.842485 3 0.4 0.832602 0.832602 0.416301 -0.832602 3.1 0.4 0.822506 0.822506 0.411253 -0.822506 3.2 0.4 0.812207 0.812207 0.406104 -0.812207 3.3 0.4 0.801717 0.801717 0.400858 -0.801717 3.4 0.4 0.791045 0.791045 0.395523 -0.791045 3.5 0.4 0.780204 0.780204 0.390102 -0.780204 3.6 0.4 0.769203 0.769203 0.384602 -0.769203 3.7 0.4 0.758054 0.758054 0.379027 -0.758054 3.8 0.4 0.746769 0.746769 0.373384 -0.746769 3.9 0.4 0.735356 0.735356 0.367678 -0.735356 4 0.4 0.723829 0.723829 0.361915 -0.723829 4.1 0.4 0.712198 0.712198 0.356099 -0.712198 4.2 0.4 0.700473 0.700473 0.350236 -0.700473 4.3 0.4 0.688665 0.688665 0.344333 -0.688665 4.4 0.4 0.676786 0.676786 0.338393 -0.676786 4.5 0.4 0.664846 0.664846 0.332423 -0.664846 4.6 0.4 0.652855 0.652855 0.326428 -0.652855 4.7 0.4 0.640824 0.640824 0.320412 -0.640824 4.8 0.4 0.628764 0.628764 0.314382 -0.628764 4.9 0.4 0.616683 0.616683 0.308342 -0.616683 -5 0.5 0.603506 0.603506 0.301753 -0.603506 -4.9 0.5 0.615574 0.615574 0.307787 -0.615574 -4.8 0.5 0.627633 0.627633 0.313816 -0.627633 -4.7 0.5 0.639672 0.639672 0.319836 -0.639672 -4.6 0.5 0.651681 0.651681 0.325841 -0.651681 -4.5 0.5 0.66365 0.66365 0.331825 -0.66365 -4.4 0.5 0.675569 0.675569 0.337784 -0.675569 -4.3 0.5 0.687427 0.687427 0.343713 -0.687427 -4.2 0.5 0.699213 0.699213 0.349606 -0.699213 -4.1 0.5 0.710917 0.710917 0.355458 -0.710917 -4 0.5 0.722527 0.722527 0.361264 -0.722527 -3.9 0.5 0.734034 0.734034 0.367017 -0.734034 -3.8 0.5 0.745426 0.745426 0.372713 -0.745426 -3.7 0.5 0.756691 0.756691 0.378346 -0.756691 -3.6 0.5 0.76782 0.76782 0.38391 -0.76782 -3.5 0.5 0.778801 0.778801 0.3894 -0.778801 -3.4 0.5 0.789623 0.789623 0.394811 -0.789623 -3.3 0.5 0.800275 0.800275 0.400137 -0.800275 -3.2 0.5 0.810746 0.810746 0.405373 -0.810746 -3.1 0.5 0.821026 0.821026 0.410513 -0.821026 -3 0.5 0.831104 0.831104 0.415552 -0.831104 -2.9 0.5 0.840969 0.840969 0.420485 -0.840969 -2.8 0.5 0.850611 0.850611 0.425306 -0.850611 -2.7 0.5 0.86002 0.86002 0.43001 -0.86002 -2.6 0.5 0.869184 0.869184 0.434592 -0.869184 -2.5 0.5 0.878095 0.878095 0.439048 -0.878095 -2.4 0.5 0.886743 0.886743 0.443372 -0.886743 -2.3 0.5 0.895118 0.895118 0.447559 -0.895118 -2.2 0.5 0.90321 0.90321 0.451605 -0.90321 -2.1 0.5 0.911011 0.911011 0.455506 -0.911011 -2 0.5 0.918512 0.918512 0.459256 -0.918512 -1.9 0.5 0.925705 0.925705 0.462852 -0.925705 -1.8 0.5 0.93258 0.93258 0.46629 -0.93258 -1.7 0.5 0.939131 0.939131 0.469566 -0.939131 -1.6 0.5 0.94535 0.94535 0.472675 -0.94535 -1.5 0.5 0.951229 0.951229 0.475615 -0.951229 -1.4 0.5 0.956763 0.956763 0.478381 -0.956763 -1.3 0.5 0.961943 0.961943 0.480972 -0.961943 -1.2 0.5 0.966765 0.966765 0.483382 -0.966765 -1.1 0.5 0.971222 0.971222 0.485611 -0.971222 -1 0.5 0.97531 0.97531 0.487655 -0.97531 -0.9 0.5 0.979023 0.979023 0.489512 -0.979023 -0.8 0.5 0.982357 0.982357 0.491179 -0.982357 -0.7 0.5 0.985309 0.985309 0.492654 -0.985309 -0.6 0.5 0.987874 0.987874 0.493937 -0.987874 -0.5 0.5 0.99005 0.99005 0.495025 -0.99005 -0.4 0.5 0.991834 0.991834 0.495917 -0.991834 -0.3 0.5 0.993223 0.993223 0.496612 -0.993223 -0.2 0.5 0.994217 0.994217 0.497108 -0.994217 -0.1 0.5 0.994813 0.994813 0.497407 -0.994813 0 0.5 0.995012 0.995012 0.497506 -0.995012 0.1 0.5 0.994813 0.994813 0.497407 -0.994813 0.2 0.5 0.994217 0.994217 0.497108 -0.994217 0.3 0.5 0.993223 0.993223 0.496612 -0.993223 0.4 0.5 0.991834 0.991834 0.495917 -0.991834 0.5 0.5 0.99005 0.99005 0.495025 -0.99005 0.6 0.5 0.987874 0.987874 0.493937 -0.987874 0.7 0.5 0.985309 0.985309 0.492654 -0.985309 0.8 0.5 0.982357 0.982357 0.491179 -0.982357 0.9 0.5 0.979023 0.979023 0.489512 -0.979023 1 0.5 0.97531 0.97531 0.487655 -0.97531 1.1 0.5 0.971222 0.971222 0.485611 -0.971222 1.2 0.5 0.966765 0.966765 0.483382 -0.966765 1.3 0.5 0.961943 0.961943 0.480972 -0.961943 1.4 0.5 0.956763 0.956763 0.478381 -0.956763 1.5 0.5 0.951229 0.951229 0.475615 -0.951229 1.6 0.5 0.94535 0.94535 0.472675 -0.94535 1.7 0.5 0.939131 0.939131 0.469566 -0.939131 1.8 0.5 0.93258 0.93258 0.46629 -0.93258 1.9 0.5 0.925705 0.925705 0.462852 -0.925705 2 0.5 0.918512 0.918512 0.459256 -0.918512 2.1 0.5 0.911011 0.911011 0.455506 -0.911011 2.2 0.5 0.90321 0.90321 0.451605 -0.90321 2.3 0.5 0.895118 0.895118 0.447559 -0.895118 2.4 0.5 0.886743 0.886743 0.443372 -0.886743 2.5 0.5 0.878095 0.878095 0.439048 -0.878095 2.6 0.5 0.869184 0.869184 0.434592 -0.869184 2.7 0.5 0.86002 0.86002 0.43001 -0.86002 2.8 0.5 0.850611 0.850611 0.425306 -0.850611 2.9 0.5 0.840969 0.840969 0.420485 -0.840969 3 0.5 0.831104 0.831104 0.415552 -0.831104 3.1 0.5 0.821026 0.821026 0.410513 -0.821026 3.2 0.5 0.810746 0.810746 0.405373 -0.810746 3.3 0.5 0.800275 0.800275 0.400137 -0.800275 3.4 0.5 0.789623 0.789623 0.394811 -0.789623 3.5 0.5 0.778801 0.778801 0.3894 -0.778801 3.6 0.5 0.76782 0.76782 0.38391 -0.76782 3.7 0.5 0.756691 0.756691 0.378346 -0.756691 3.8 0.5 0.745426 0.745426 0.372713 -0.745426 3.9 0.5 0.734034 0.734034 0.367017 -0.734034 4 0.5 0.722527 0.722527 0.361264 -0.722527 4.1 0.5 0.710917 0.710917 0.355458 -0.710917 4.2 0.5 0.699213 0.699213 0.349606 -0.699213 4.3 0.5 0.687427 0.687427 0.343713 -0.687427 4.4 0.5 0.675569 0.675569 0.337784 -0.675569 4.5 0.5 0.66365 0.66365 0.331825 -0.66365 4.6 0.5 0.651681 0.651681 0.325841 -0.651681 4.7 0.5 0.639672 0.639672 0.319836 -0.639672 4.8 0.5 0.627633 0.627633 0.313816 -0.627633 4.9 0.5 0.615574 0.615574 0.307787 -0.615574 -5 0.6 0.602179 0.602179 0.30109 -0.602179 -4.9 0.6 0.614221 0.614221 0.307111 -0.614221 -4.8 0.6 0.626254 0.626254 0.313127 -0.626254 -4.7 0.6 0.638266 0.638266 0.319133 -0.638266 -4.6 0.6 0.650249 0.650249 0.325124 -0.650249 -4.5 0.6 0.662192 0.662192 0.331096 -0.662192 -4.4 0.6 0.674084 0.674084 0.337042 -0.674084 -4.3 0.6 0.685916 0.685916 0.342958 -0.685916 -4.2 0.6 0.697676 0.697676 0.348838 -0.697676 -4.1 0.6 0.709354 0.709354 0.354677 -0.709354 -4 0.6 0.72094 0.72094 0.36047 -0.72094 -3.9 0.6 0.732421 0.732421 0.36621 -0.732421 -3.8 0.6 0.743787 0.743787 0.371894 -0.743787 -3.7 0.6 0.755028 0.755028 0.377514 -0.755028 -3.6 0.6 0.766133 0.766133 0.383066 -0.766133 -3.5 0.6 0.777089 0.777089 0.388545 -0.777089 -3.4 0.6 0.787887 0.787887 0.393944 -0.787887 -3.3 0.6 0.798516 0.798516 0.399258 -0.798516 -3.2 0.6 0.808965 0.808965 0.404482 -0.808965 -3.1 0.6 0.819222 0.819222 0.409611 -0.819222 -3 0.6 0.829278 0.829278 0.414639 -0.829278 -2.9 0.6 0.839121 0.839121 0.419561 -0.839121 -2.8 0.6 0.848742 0.848742 0.424371 -0.848742 -2.7 0.6 0.85813 0.85813 0.429065 -0.85813 -2.6 0.6 0.867274 0.867274 0.433637 -0.867274 -2.5 0.6 0.876166 0.876166 0.438083 -0.876166 -2.4 0.6 0.884794 0.884794 0.442397 -0.884794 -2.3 0.6 0.893151 0.893151 0.446575 -0.893151 -2.2 0.6 0.901225 0.901225 0.450613 -0.901225 -2.1 0.6 0.909009 0.909009 0.454505 -0.909009 -2 0.6 0.916494 0.916494 0.458247 -0.916494 -1.9 0.6 0.92367 0.92367 0.461835 -0.92367 -1.8 0.6 0.930531 0.930531 0.465265 -0.930531 -1.7 0.6 0.937067 0.937067 0.468534 -0.937067 -1.6 0.6 0.943273 0.943273 0.471636 -0.943273 -1.5 0.6 0.949139 0.949139 0.47457 -0.949139 -1.4 0.6 0.95466 0.95466 0.47733 -0.95466 -1.3 0.6 0.959829 0.959829 0.479915 -0.959829 -1.2 0.6 0.96464 0.96464 0.48232 -0.96464 -1.1 0.6 0.969088 0.969088 0.484544 -0.969088 -1 0.6 0.973167 0.973167 0.486583 -0.973167 -0.9 0.6 0.976872 0.976872 0.488436 -0.976872 -0.8 0.6 0.980199 0.980199 0.490099 -0.980199 -0.7 0.6 0.983144 0.983144 0.491572 -0.983144 -0.6 0.6 0.985703 0.985703 0.492852 -0.985703 -0.5 0.6 0.987874 0.987874 0.493937 -0.987874 -0.4 0.6 0.989654 0.989654 0.494827 -0.989654 -0.3 0.6 0.99104 0.99104 0.49552 -0.99104 -0.2 0.6 0.992032 0.992032 0.496016 -0.992032 -0.1 0.6 0.992627 0.992627 0.496314 -0.992627 0 0.6 0.992826 0.992826 0.496413 -0.992826 0.1 0.6 0.992627 0.992627 0.496314 -0.992627 0.2 0.6 0.992032 0.992032 0.496016 -0.992032 0.3 0.6 0.99104 0.99104 0.49552 -0.99104 0.4 0.6 0.989654 0.989654 0.494827 -0.989654 0.5 0.6 0.987874 0.987874 0.493937 -0.987874 0.6 0.6 0.985703 0.985703 0.492852 -0.985703 0.7 0.6 0.983144 0.983144 0.491572 -0.983144 0.8 0.6 0.980199 0.980199 0.490099 -0.980199 0.9 0.6 0.976872 0.976872 0.488436 -0.976872 1 0.6 0.973167 0.973167 0.486583 -0.973167 1.1 0.6 0.969088 0.969088 0.484544 -0.969088 1.2 0.6 0.96464 0.96464 0.48232 -0.96464 1.3 0.6 0.959829 0.959829 0.479915 -0.959829 1.4 0.6 0.95466 0.95466 0.47733 -0.95466 1.5 0.6 0.949139 0.949139 0.47457 -0.949139 1.6 0.6 0.943273 0.943273 0.471636 -0.943273 1.7 0.6 0.937067 0.937067 0.468534 -0.937067 1.8 0.6 0.930531 0.930531 0.465265 -0.930531 1.9 0.6 0.92367 0.92367 0.461835 -0.92367 2 0.6 0.916494 0.916494 0.458247 -0.916494 2.1 0.6 0.909009 0.909009 0.454505 -0.909009 2.2 0.6 0.901225 0.901225 0.450613 -0.901225 2.3 0.6 0.893151 0.893151 0.446575 -0.893151 2.4 0.6 0.884794 0.884794 0.442397 -0.884794 2.5 0.6 0.876166 0.876166 0.438083 -0.876166 2.6 0.6 0.867274 0.867274 0.433637 -0.867274 2.7 0.6 0.85813 0.85813 0.429065 -0.85813 2.8 0.6 0.848742 0.848742 0.424371 -0.848742 2.9 0.6 0.839121 0.839121 0.419561 -0.839121 3 0.6 0.829278 0.829278 0.414639 -0.829278 3.1 0.6 0.819222 0.819222 0.409611 -0.819222 3.2 0.6 0.808965 0.808965 0.404482 -0.808965 3.3 0.6 0.798516 0.798516 0.399258 -0.798516 3.4 0.6 0.787887 0.787887 0.393944 -0.787887 3.5 0.6 0.777089 0.777089 0.388545 -0.777089 3.6 0.6 0.766133 0.766133 0.383066 -0.766133 3.7 0.6 0.755028 0.755028 0.377514 -0.755028 3.8 0.6 0.743787 0.743787 0.371894 -0.743787 3.9 0.6 0.732421 0.732421 0.36621 -0.732421 4 0.6 0.72094 0.72094 0.36047 -0.72094 4.1 0.6 0.709354 0.709354 0.354677 -0.709354 4.2 0.6 0.697676 0.697676 0.348838 -0.697676 4.3 0.6 0.685916 0.685916 0.342958 -0.685916 4.4 0.6 0.674084 0.674084 0.337042 -0.674084 4.5 0.6 0.662192 0.662192 0.331096 -0.662192 4.6 0.6 0.650249 0.650249 0.325124 -0.650249 4.7 0.6 0.638266 0.638266 0.319133 -0.638266 4.8 0.6 0.626254 0.626254 0.313127 -0.626254 4.9 0.6 0.614221 0.614221 0.307111 -0.614221 -5 0.7 0.600616 0.600616 0.300308 -0.600616 -4.9 0.7 0.612626 0.612626 0.306313 -0.612626 -4.8 0.7 0.624627 0.624627 0.312314 -0.624627 -4.7 0.7 0.636609 0.636609 0.318304 -0.636609 -4.6 0.7 0.64856 0.64856 0.32428 -0.64856 -4.5 0.7 0.660472 0.660472 0.330236 -0.660472 -4.4 0.7 0.672334 0.672334 0.336167 -0.672334 -4.3 0.7 0.684135 0.684135 0.342068 -0.684135 -4.2 0.7 0.695865 0.695865 0.347932 -0.695865 -4.1 0.7 0.707512 0.707512 0.353756 -0.707512 -4 0.7 0.719068 0.719068 0.359534 -0.719068 -3.9 0.7 0.730519 0.730519 0.36526 -0.730519 -3.8 0.7 0.741856 0.741856 0.370928 -0.741856 -3.7 0.7 0.753068 0.753068 0.376534 -0.753068 -3.6 0.7 0.764143 0.764143 0.382072 -0.764143 -3.5 0.7 0.775071 0.775071 0.387536 -0.775071 -3.4 0.7 0.785842 0.785842 0.392921 -0.785842 -3.3 0.7 0.796443 0.796443 0.398221 -0.796443 -3.2 0.7 0.806864 0.806864 0.403432 -0.806864 -3.1 0.7 0.817095 0.817095 0.408547 -0.817095 -3 0.7 0.827125 0.827125 0.413562 -0.827125 -2.9 0.7 0.836942 0.836942 0.418471 -0.836942 -2.8 0.7 0.846538 0.846538 0.423269 -0.846538 -2.7 0.7 0.855901 0.855901 0.427951 -0.855901 -2.6 0.7 0.865022 0.865022 0.432511 -0.865022 -2.5 0.7 0.873891 0.873891 0.436945 -0.873891 -2.4 0.7 0.882497 0.882497 0.441248 -0.882497 -2.3 0.7 0.890831 0.890831 0.445416 -0.890831 -2.2 0.7 0.898885 0.898885 0.449443 -0.898885 -2.1 0.7 0.906649 0.906649 0.453324 -0.906649 -2 0.7 0.914114 0.914114 0.457057 -0.914114 -1.9 0.7 0.921272 0.921272 0.460636 -0.921272 -1.8 0.7 0.928115 0.928115 0.464057 -0.928115 -1.7 0.7 0.934634 0.934634 0.467317 -0.934634 -1.6 0.7 0.940823 0.940823 0.470412 -0.940823 -1.5 0.7 0.946674 0.946674 0.473337 -0.946674 -1.4 0.7 0.952181 0.952181 0.476091 -0.952181 -1.3 0.7 0.957337 0.957337 0.478668 -0.957337 -1.2 0.7 0.962135 0.962135 0.481068 -0.962135 -1.1 0.7 0.966572 0.966572 0.483286 -0.966572 -1 0.7 0.97064 0.97064 0.48532 -0.97064 -0.9 0.7 0.974335 0.974335 0.487168 -0.974335 -0.8 0.7 0.977653 0.977653 0.488827 -0.977653 -0.7 0.7 0.980591 0.980591 0.490295 -0.980591 -0.6 0.7 0.983144 0.983144 0.491572 -0.983144 -0.5 0.7 0.985309 0.985309 0.492654 -0.985309 -0.4 0.7 0.987084 0.987084 0.493542 -0.987084 -0.3 0.7 0.988467 0.988467 0.494234 -0.988467 -0.2 0.7 0.989456 0.989456 0.494728 -0.989456 -0.1 0.7 0.99005 0.99005 0.495025 -0.99005 0 0.7 0.990248 0.990248 0.495124 -0.990248 0.1 0.7 0.99005 0.99005 0.495025 -0.99005 0.2 0.7 0.989456 0.989456 0.494728 -0.989456 0.3 0.7 0.988467 0.988467 0.494234 -0.988467 0.4 0.7 0.987084 0.987084 0.493542 -0.987084 0.5 0.7 0.985309 0.985309 0.492654 -0.985309 0.6 0.7 0.983144 0.983144 0.491572 -0.983144 0.7 0.7 0.980591 0.980591 0.490295 -0.980591 0.8 0.7 0.977653 0.977653 0.488827 -0.977653 0.9 0.7 0.974335 0.974335 0.487168 -0.974335 1 0.7 0.97064 0.97064 0.48532 -0.97064 1.1 0.7 0.966572 0.966572 0.483286 -0.966572 1.2 0.7 0.962135 0.962135 0.481068 -0.962135 1.3 0.7 0.957337 0.957337 0.478668 -0.957337 1.4 0.7 0.952181 0.952181 0.476091 -0.952181 1.5 0.7 0.946674 0.946674 0.473337 -0.946674 1.6 0.7 0.940823 0.940823 0.470412 -0.940823 1.7 0.7 0.934634 0.934634 0.467317 -0.934634 1.8 0.7 0.928115 0.928115 0.464057 -0.928115 1.9 0.7 0.921272 0.921272 0.460636 -0.921272 2 0.7 0.914114 0.914114 0.457057 -0.914114 2.1 0.7 0.906649 0.906649 0.453324 -0.906649 2.2 0.7 0.898885 0.898885 0.449443 -0.898885 2.3 0.7 0.890831 0.890831 0.445416 -0.890831 2.4 0.7 0.882497 0.882497 0.441248 -0.882497 2.5 0.7 0.873891 0.873891 0.436945 -0.873891 2.6 0.7 0.865022 0.865022 0.432511 -0.865022 2.7 0.7 0.855901 0.855901 0.427951 -0.855901 2.8 0.7 0.846538 0.846538 0.423269 -0.846538 2.9 0.7 0.836942 0.836942 0.418471 -0.836942 3 0.7 0.827125 0.827125 0.413562 -0.827125 3.1 0.7 0.817095 0.817095 0.408547 -0.817095 3.2 0.7 0.806864 0.806864 0.403432 -0.806864 3.3 0.7 0.796443 0.796443 0.398221 -0.796443 3.4 0.7 0.785842 0.785842 0.392921 -0.785842 3.5 0.7 0.775071 0.775071 0.387536 -0.775071 3.6 0.7 0.764143 0.764143 0.382072 -0.764143 3.7 0.7 0.753068 0.753068 0.376534 -0.753068 3.8 0.7 0.741856 0.741856 0.370928 -0.741856 3.9 0.7 0.730519 0.730519 0.36526 -0.730519 4 0.7 0.719068 0.719068 0.359534 -0.719068 4.1 0.7 0.707512 0.707512 0.353756 -0.707512 4.2 0.7 0.695865 0.695865 0.347932 -0.695865 4.3 0.7 0.684135 0.684135 0.342068 -0.684135 4.4 0.7 0.672334 0.672334 0.336167 -0.672334 4.5 0.7 0.660472 0.660472 0.330236 -0.660472 4.6 0.7 0.64856 0.64856 0.32428 -0.64856 4.7 0.7 0.636609 0.636609 0.318304 -0.636609 4.8 0.7 0.624627 0.624627 0.312314 -0.624627 4.9 0.7 0.612626 0.612626 0.306313 -0.612626 -5 0.8 0.598817 0.598817 0.299408 -0.598817 -4.9 0.8 0.610791 0.610791 0.305396 -0.610791 -4.8 0.8 0.622756 0.622756 0.311378 -0.622756 -4.7 0.8 0.634702 0.634702 0.317351 -0.634702 -4.6 0.8 0.646618 0.646618 0.323309 -0.646618 -4.5 0.8 0.658494 0.658494 0.329247 -0.658494 -4.4 0.8 0.67032 0.67032 0.33516 -0.67032 -4.3 0.8 0.682086 0.682086 0.341043 -0.682086 -4.2 0.8 0.69378 0.69378 0.34689 -0.69378 -4.1 0.8 0.705393 0.705393 0.352697 -0.705393 -4 0.8 0.716914 0.716914 0.358457 -0.716914 -3.9 0.8 0.728331 0.728331 0.364165 -0.728331 -3.8 0.8 0.739634 0.739634 0.369817 -0.739634 -3.7 0.8 0.750812 0.750812 0.375406 -0.750812 -3.6 0.8 0.761854 0.761854 0.380927 -0.761854 -3.5 0.8 0.77275 0.77275 0.386375 -0.77275 -3.4 0.8 0.783488 0.783488 0.391744 -0.783488 -3.3 0.8 0.794057 0.794057 0.397029 -0.794057 -3.2 0.8 0.804447 0.804447 0.402224 -0.804447 -3.1 0.8 0.814647 0.814647 0.407324 -0.814647 -3 0.8 0.824647 0.824647 0.412323 -0.824647 -2.9 0.8 0.834435 0.834435 0.417218 -0.834435 -2.8 0.8 0.844002 0.844002 0.422001 -0.844002 -2.7 0.8 0.853338 0.853338 0.426669 -0.853338 -2.6 0.8 0.862431 0.862431 0.431216 -0.862431 -2.5 0.8 0.871273 0.871273 0.435636 -0.871273 -2.4 0.8 0.879853 0.879853 0.439927 -0.879853 -2.3 0.8 0.888163 0.888163 0.444081 -0.888163 -2.2 0.8 0.896193 0.896193 0.448096 -0.896193 -2.1 0.8 0.903933 0.903933 0.451967 -0.903933 -2 0.8 0.911376 0.911376 0.455688 -0.911376 -1.9 0.8 0.918512 0.918512 0.459256 -0.918512 -1.8 0.8 0.925334 0.925334 0.462667 -0.925334 -1.7 0.8 0.931835 0.931835 0.465917 -0.931835 -1.6 0.8 0.938005 0.938005 0.469002 -0.938005 -1.5 0.8 0.943839 0.943839 0.471919 -0.943839 -1.4 0.8 0.949329 0.949329 0.474664 -0.949329 -1.3 0.8 0.954469 0.954469 0.477235 -0.954469 -1.2 0.8 0.959253 0.959253 0.479627 -0.959253 -1.1 0.8 0.963676 0.963676 0.481838 -0.963676 -1 0.8 0.967732 0.967732 0.483866 -0.967732 -0.9 0.8 0.971416 0.971416 0.485708 -0.971416 -0.8 0.8 0.974725 0.974725 0.487362 -0.974725 -0.7 0.8 0.977653 0.977653 0.488827 -0.977653 -0.6 0.8 0.980199 0.980199 0.490099 -0.980199 -0.5 0.8 0.982357 0.982357 0.491179 -0.982357 -0.4 0.8 0.984127 0.984127 0.492064 -0.984127 -0.3 0.8 0.985506 0.985506 0.492753 -0.985506 -0.2 0.8 0.986492 0.986492 0.493246 -0.986492 -0.1 0.8 0.987084 0.987084 0.493542 -0.987084 0 0.8 0.987282 0.987282 0.493641 -0.987282 0.1 0.8 0.987084 0.987084 0.493542 -0.987084 0.2 0.8 0.986492 0.986492 0.493246 -0.986492 0.3 0.8 0.985506 0.985506 0.492753 -0.985506 0.4 0.8 0.984127 0.984127 0.492064 -0.984127 0.5 0.8 0.982357 0.982357 0.491179 -0.982357 0.6 0.8 0.980199 0.980199 0.490099 -0.980199 0.7 0.8 0.977653 0.977653 0.488827 -0.977653 0.8 0.8 0.974725 0.974725 0.487362 -0.974725 0.9 0.8 0.971416 0.971416 0.485708 -0.971416 1 0.8 0.967732 0.967732 0.483866 -0.967732 1.1 0.8 0.963676 0.963676 0.481838 -0.963676 1.2 0.8 0.959253 0.959253 0.479627 -0.959253 1.3 0.8 0.954469 0.954469 0.477235 -0.954469 1.4 0.8 0.949329 0.949329 0.474664 -0.949329 1.5 0.8 0.943839 0.943839 0.471919 -0.943839 1.6 0.8 0.938005 0.938005 0.469002 -0.938005 1.7 0.8 0.931835 0.931835 0.465917 -0.931835 1.8 0.8 0.925334 0.925334 0.462667 -0.925334 1.9 0.8 0.918512 0.918512 0.459256 -0.918512 2 0.8 0.911376 0.911376 0.455688 -0.911376 2.1 0.8 0.903933 0.903933 0.451967 -0.903933 2.2 0.8 0.896193 0.896193 0.448096 -0.896193 2.3 0.8 0.888163 0.888163 0.444081 -0.888163 2.4 0.8 0.879853 0.879853 0.439927 -0.879853 2.5 0.8 0.871273 0.871273 0.435636 -0.871273 2.6 0.8 0.862431 0.862431 0.431216 -0.862431 2.7 0.8 0.853338 0.853338 0.426669 -0.853338 2.8 0.8 0.844002 0.844002 0.422001 -0.844002 2.9 0.8 0.834435 0.834435 0.417218 -0.834435 3 0.8 0.824647 0.824647 0.412323 -0.824647 3.1 0.8 0.814647 0.814647 0.407324 -0.814647 3.2 0.8 0.804447 0.804447 0.402224 -0.804447 3.3 0.8 0.794057 0.794057 0.397029 -0.794057 3.4 0.8 0.783488 0.783488 0.391744 -0.783488 3.5 0.8 0.77275 0.77275 0.386375 -0.77275 3.6 0.8 0.761854 0.761854 0.380927 -0.761854 3.7 0.8 0.750812 0.750812 0.375406 -0.750812 3.8 0.8 0.739634 0.739634 0.369817 -0.739634 3.9 0.8 0.728331 0.728331 0.364165 -0.728331 4 0.8 0.716914 0.716914 0.358457 -0.716914 4.1 0.8 0.705393 0.705393 0.352697 -0.705393 4.2 0.8 0.69378 0.69378 0.34689 -0.69378 4.3 0.8 0.682086 0.682086 0.341043 -0.682086 4.4 0.8 0.67032 0.67032 0.33516 -0.67032 4.5 0.8 0.658494 0.658494 0.329247 -0.658494 4.6 0.8 0.646618 0.646618 0.323309 -0.646618 4.7 0.8 0.634702 0.634702 0.317351 -0.634702 4.8 0.8 0.622756 0.622756 0.311378 -0.622756 4.9 0.8 0.610791 0.610791 0.305396 -0.610791 -5 0.9 0.596784 0.596784 0.298392 -0.596784 -4.9 0.9 0.608718 0.608718 0.304359 -0.608718 -4.8 0.9 0.620643 0.620643 0.310321 -0.620643 -4.7 0.9 0.632547 0.632547 0.316274 -0.632547 -4.6 0.9 0.644423 0.644423 0.322211 -0.644423 -4.5 0.9 0.656259 0.656259 0.328129 -0.656259 -4.4 0.9 0.668045 0.668045 0.334022 -0.668045 -4.3 0.9 0.679771 0.679771 0.339885 -0.679771 -4.2 0.9 0.691425 0.691425 0.345713 -0.691425 -4.1 0.9 0.702999 0.702999 0.351499 -0.702999 -4 0.9 0.71448 0.71448 0.35724 -0.71448 -3.9 0.9 0.725859 0.725859 0.362929 -0.725859 -3.8 0.9 0.737123 0.737123 0.368562 -0.737123 -3.7 0.9 0.748264 0.748264 0.374132 -0.748264 -3.6 0.9 0.759268 0.759268 0.379634 -0.759268 -3.5 0.9 0.770127 0.770127 0.385063 -0.770127 -3.4 0.9 0.780828 0.780828 0.390414 -0.780828 -3.3 0.9 0.791362 0.791362 0.395681 -0.791362 -3.2 0.9 0.801717 0.801717 0.400858 -0.801717 -3.1 0.9 0.811882 0.811882 0.405941 -0.811882 -3 0.9 0.821848 0.821848 0.410924 -0.821848 -2.9 0.9 0.831603 0.831603 0.415802 -0.831603 -2.8 0.9 0.841138 0.841138 0.420569 -0.841138 -2.7 0.9 0.850441 0.850441 0.425221 -0.850441 -2.6 0.9 0.859504 0.859504 0.429752 -0.859504 -2.5 0.9 0.868316 0.868316 0.434158 -0.868316 -2.4 0.9 0.876867 0.876867 0.438433 -0.876867 -2.3 0.9 0.885148 0.885148 0.442574 -0.885148 -2.2 0.9 0.893151 0.893151 0.446575 -0.893151 -2.1 0.9 0.900865 0.900865 0.450432 -0.900865 -2 0.9 0.908282 0.908282 0.454141 -0.908282 -1.9 0.9 0.915395 0.915395 0.457697 -0.915395 -1.8 0.9 0.922194 0.922194 0.461097 -0.922194 -1.7 0.9 0.928672 0.928672 0.464336 -0.928672 -1.6 0.9 0.934821 0.934821 0.467411 -0.934821 -1.5 0.9 0.940635 0.940635 0.470318 -0.940635 -1.4 0.9 0.946107 0.946107 0.473053 -0.946107 -1.3 0.9 0.951229 0.951229 0.475615 -0.951229 -1.2 0.9 0.955997 0.955997 0.477999 -0.955997 -1.1 0.9 0.960405 0.960405 0.480203 -0.960405 -1 0.9 0.964447 0.964447 0.482224 -0.964447 -0.9 0.9 0.968119 0.968119 0.48406 -0.968119 -0.8 0.9 0.971416 0.971416 0.485708 -0.971416 -0.7 0.9 0.974335 0.974335 0.487168 -0.974335 -0.6 0.9 0.976872 0.976872 0.488436 -0.976872 -0.5 0.9 0.979023 0.979023 0.489512 -0.979023 -0.4 0.9 0.980787 0.980787 0.490393 -0.980787 -0.3 0.9 0.982161 0.982161 0.491081 -0.982161 -0.2 0.9 0.983144 0.983144 0.491572 -0.983144 -0.1 0.9 0.983734 0.983734 0.491867 -0.983734 0 0.9 0.983931 0.983931 0.491965 -0.983931 0.1 0.9 0.983734 0.983734 0.491867 -0.983734 0.2 0.9 0.983144 0.983144 0.491572 -0.983144 0.3 0.9 0.982161 0.982161 0.491081 -0.982161 0.4 0.9 0.980787 0.980787 0.490393 -0.980787 0.5 0.9 0.979023 0.979023 0.489512 -0.979023 0.6 0.9 0.976872 0.976872 0.488436 -0.976872 0.7 0.9 0.974335 0.974335 0.487168 -0.974335 0.8 0.9 0.971416 0.971416 0.485708 -0.971416 0.9 0.9 0.968119 0.968119 0.48406 -0.968119 1 0.9 0.964447 0.964447 0.482224 -0.964447 1.1 0.9 0.960405 0.960405 0.480203 -0.960405 1.2 0.9 0.955997 0.955997 0.477999 -0.955997 1.3 0.9 0.951229 0.951229 0.475615 -0.951229 1.4 0.9 0.946107 0.946107 0.473053 -0.946107 1.5 0.9 0.940635 0.940635 0.470318 -0.940635 1.6 0.9 0.934821 0.934821 0.467411 -0.934821 1.7 0.9 0.928672 0.928672 0.464336 -0.928672 1.8 0.9 0.922194 0.922194 0.461097 -0.922194 1.9 0.9 0.915395 0.915395 0.457697 -0.915395 2 0.9 0.908282 0.908282 0.454141 -0.908282 2.1 0.9 0.900865 0.900865 0.450432 -0.900865 2.2 0.9 0.893151 0.893151 0.446575 -0.893151 2.3 0.9 0.885148 0.885148 0.442574 -0.885148 2.4 0.9 0.876867 0.876867 0.438433 -0.876867 2.5 0.9 0.868316 0.868316 0.434158 -0.868316 2.6 0.9 0.859504 0.859504 0.429752 -0.859504 2.7 0.9 0.850441 0.850441 0.425221 -0.850441 2.8 0.9 0.841138 0.841138 0.420569 -0.841138 2.9 0.9 0.831603 0.831603 0.415802 -0.831603 3 0.9 0.821848 0.821848 0.410924 -0.821848 3.1 0.9 0.811882 0.811882 0.405941 -0.811882 3.2 0.9 0.801717 0.801717 0.400858 -0.801717 3.3 0.9 0.791362 0.791362 0.395681 -0.791362 3.4 0.9 0.780828 0.780828 0.390414 -0.780828 3.5 0.9 0.770127 0.770127 0.385063 -0.770127 3.6 0.9 0.759268 0.759268 0.379634 -0.759268 3.7 0.9 0.748264 0.748264 0.374132 -0.748264 3.8 0.9 0.737123 0.737123 0.368562 -0.737123 3.9 0.9 0.725859 0.725859 0.362929 -0.725859 4 0.9 0.71448 0.71448 0.35724 -0.71448 4.1 0.9 0.702999 0.702999 0.351499 -0.702999 4.2 0.9 0.691425 0.691425 0.345713 -0.691425 4.3 0.9 0.679771 0.679771 0.339885 -0.679771 4.4 0.9 0.668045 0.668045 0.334022 -0.668045 4.5 0.9 0.656259 0.656259 0.328129 -0.656259 4.6 0.9 0.644423 0.644423 0.322211 -0.644423 4.7 0.9 0.632547 0.632547 0.316274 -0.632547 4.8 0.9 0.620643 0.620643 0.310321 -0.620643 4.9 0.9 0.608718 0.608718 0.304359 -0.608718 -5 1 0.594521 0.594521 0.29726 -0.594521 -4.9 1 0.606409 0.606409 0.303205 -0.606409 -4.8 1 0.618289 0.618289 0.309144 -0.618289 -4.7 1 0.630148 0.630148 0.315074 -0.630148 -4.6 1 0.641979 0.641979 0.320989 -0.641979 -4.5 1 0.65377 0.65377 0.326885 -0.65377 -4.4 1 0.665511 0.665511 0.332756 -0.665511 -4.3 1 0.677192 0.677192 0.338596 -0.677192 -4.2 1 0.688803 0.688803 0.344401 -0.688803 -4.1 1 0.700333 0.700333 0.350166 -0.700333 -4 1 0.71177 0.71177 0.355885 -0.71177 -3.9 1 0.723106 0.723106 0.361553 -0.723106 -3.8 1 0.734328 0.734328 0.367164 -0.734328 -3.7 1 0.745426 0.745426 0.372713 -0.745426 -3.6 1 0.756389 0.756389 0.378194 -0.756389 -3.5 1 0.767206 0.767206 0.383603 -0.767206 -3.4 1 0.777867 0.777867 0.388933 -0.777867 -3.3 1 0.78836 0.78836 0.39418 -0.78836 -3.2 1 0.798676 0.798676 0.399338 -0.798676 -3.1 1 0.808803 0.808803 0.404401 -0.808803 -3 1 0.818731 0.818731 0.409365 -0.818731 -2.9 1 0.828449 0.828449 0.414225 -0.828449 -2.8 1 0.837947 0.837947 0.418974 -0.837947 -2.7 1 0.847216 0.847216 0.423608 -0.847216 -2.6 1 0.856244 0.856244 0.428122 -0.856244 -2.5 1 0.865022 0.865022 0.432511 -0.865022 -2.4 1 0.873541 0.873541 0.436771 -0.873541 -2.3 1 0.881791 0.881791 0.440896 -0.881791 -2.2 1 0.889763 0.889763 0.444882 -0.889763 -2.1 1 0.897448 0.897448 0.448724 -0.897448 -2 1 0.904837 0.904837 0.452419 -0.904837 -1.9 1 0.911923 0.911923 0.455961 -0.911923 -1.8 1 0.918696 0.918696 0.459348 -0.918696 -1.7 1 0.925149 0.925149 0.462575 -0.925149 -1.6 1 0.931276 0.931276 0.465638 -0.931276 -1.5 1 0.937067 0.937067 0.468534 -0.937067 -1.4 1 0.942518 0.942518 0.471259 -0.942518 -1.3 1 0.947622 0.947622 0.473811 -0.947622 -1.2 1 0.952372 0.952372 0.476186 -0.952372 -1.1 1 0.956763 0.956763 0.478381 -0.956763 -1 1 0.960789 0.960789 0.480395 -0.960789 -0.9 1 0.964447 0.964447 0.482224 -0.964447 -0.8 1 0.967732 0.967732 0.483866 -0.967732 -0.7 1 0.97064 0.97064 0.48532 -0.97064 -0.6 1 0.973167 0.973167 0.486583 -0.973167 -0.5 1 0.97531 0.97531 0.487655 -0.97531 -0.4 1 0.977067 0.977067 0.488534 -0.977067 -0.3 1 0.978436 0.978436 0.489218 -0.978436 -0.2 1 0.979415 0.979415 0.489707 -0.979415 -0.1 1 0.980003 0.980003 0.490001 -0.980003 0 1 0.980199 0.980199 0.490099 -0.980199 0.1 1 0.980003 0.980003 0.490001 -0.980003 0.2 1 0.979415 0.979415 0.489707 -0.979415 0.3 1 0.978436 0.978436 0.489218 -0.978436 0.4 1 0.977067 0.977067 0.488534 -0.977067 0.5 1 0.97531 0.97531 0.487655 -0.97531 0.6 1 0.973167 0.973167 0.486583 -0.973167 0.7 1 0.97064 0.97064 0.48532 -0.97064 0.8 1 0.967732 0.967732 0.483866 -0.967732 0.9 1 0.964447 0.964447 0.482224 -0.964447 1 1 0.960789 0.960789 0.480395 -0.960789 1.1 1 0.956763 0.956763 0.478381 -0.956763 1.2 1 0.952372 0.952372 0.476186 -0.952372 1.3 1 0.947622 0.947622 0.473811 -0.947622 1.4 1 0.942518 0.942518 0.471259 -0.942518 1.5 1 0.937067 0.937067 0.468534 -0.937067 1.6 1 0.931276 0.931276 0.465638 -0.931276 1.7 1 0.925149 0.925149 0.462575 -0.925149 1.8 1 0.918696 0.918696 0.459348 -0.918696 1.9 1 0.911923 0.911923 0.455961 -0.911923 2 1 0.904837 0.904837 0.452419 -0.904837 2.1 1 0.897448 0.897448 0.448724 -0.897448 2.2 1 0.889763 0.889763 0.444882 -0.889763 2.3 1 0.881791 0.881791 0.440896 -0.881791 2.4 1 0.873541 0.873541 0.436771 -0.873541 2.5 1 0.865022 0.865022 0.432511 -0.865022 2.6 1 0.856244 0.856244 0.428122 -0.856244 2.7 1 0.847216 0.847216 0.423608 -0.847216 2.8 1 0.837947 0.837947 0.418974 -0.837947 2.9 1 0.828449 0.828449 0.414225 -0.828449 3 1 0.818731 0.818731 0.409365 -0.818731 3.1 1 0.808803 0.808803 0.404401 -0.808803 3.2 1 0.798676 0.798676 0.399338 -0.798676 3.3 1 0.78836 0.78836 0.39418 -0.78836 3.4 1 0.777867 0.777867 0.388933 -0.777867 3.5 1 0.767206 0.767206 0.383603 -0.767206 3.6 1 0.756389 0.756389 0.378194 -0.756389 3.7 1 0.745426 0.745426 0.372713 -0.745426 3.8 1 0.734328 0.734328 0.367164 -0.734328 3.9 1 0.723106 0.723106 0.361553 -0.723106 4 1 0.71177 0.71177 0.355885 -0.71177 4.1 1 0.700333 0.700333 0.350166 -0.700333 4.2 1 0.688803 0.688803 0.344401 -0.688803 4.3 1 0.677192 0.677192 0.338596 -0.677192 4.4 1 0.665511 0.665511 0.332756 -0.665511 4.5 1 0.65377 0.65377 0.326885 -0.65377 4.6 1 0.641979 0.641979 0.320989 -0.641979 4.7 1 0.630148 0.630148 0.315074 -0.630148 4.8 1 0.618289 0.618289 0.309144 -0.618289 4.9 1 0.606409 0.606409 0.303205 -0.606409 -5 1.1 0.592029 0.592029 0.296014 -0.592029 -4.9 1.1 0.603868 0.603868 0.301934 -0.603868 -4.8 1.1 0.615697 0.615697 0.307849 -0.615697 -4.7 1.1 0.627507 0.627507 0.313754 -0.627507 -4.6 1.1 0.639288 0.639288 0.319644 -0.639288 -4.5 1.1 0.65103 0.65103 0.325515 -0.65103 -4.4 1.1 0.662722 0.662722 0.331361 -0.662722 -4.3 1.1 0.674354 0.674354 0.337177 -0.674354 -4.2 1.1 0.685916 0.685916 0.342958 -0.685916 -4.1 1.1 0.697397 0.697397 0.348699 -0.697397 -4 1.1 0.708787 0.708787 0.354394 -0.708787 -3.9 1.1 0.720075 0.720075 0.360037 -0.720075 -3.8 1.1 0.73125 0.73125 0.365625 -0.73125 -3.7 1.1 0.742301 0.742301 0.371151 -0.742301 -3.6 1.1 0.753218 0.753218 0.376609 -0.753218 -3.5 1.1 0.76399 0.76399 0.381995 -0.76399 -3.4 1.1 0.774607 0.774607 0.387303 -0.774607 -3.3 1.1 0.785056 0.785056 0.392528 -0.785056 -3.2 1.1 0.795329 0.795329 0.397664 -0.795329 -3.1 1.1 0.805413 0.805413 0.402707 -0.805413 -3 1.1 0.815299 0.815299 0.40765 -0.815299 -2.9 1.1 0.824977 0.824977 0.412488 -0.824977 -2.8 1.1 0.834435 0.834435 0.417218 -0.834435 -2.7 1.1 0.843665 0.843665 0.421832 -0.843665 -2.6 1.1 0.852655 0.852655 0.426328 -0.852655 -2.5 1.1 0.861397 0.861397 0.430698 -0.861397 -2.4 1.1 0.86988 0.86988 0.43494 -0.86988 -2.3 1.1 0.878095 0.878095 0.439048 -0.878095 -2.2 1.1 0.886034 0.886034 0.443017 -0.886034 -2.1 1.1 0.893687 0.893687 0.446843 -0.893687 -2 1.1 0.901045 0.901045 0.450523 -0.901045 -1.9 1.1 0.908101 0.908101 0.45405 -0.908101 -1.8 1.1 0.914846 0.914846 0.457423 -0.914846 -1.7 1.1 0.921272 0.921272 0.460636 -0.921272 -1.6 1.1 0.927372 0.927372 0.463686 -0.927372 -1.5 1.1 0.93314 0.93314 0.46657 -0.93314 -1.4 1.1 0.938568 0.938568 0.469284 -0.938568 -1.3 1.1 0.94365 0.94365 0.471825 -0.94365 -1.2 1.1 0.94838 0.94838 0.47419 -0.94838 -1.1 1.1 0.952753 0.952753 0.476376 -0.952753 -1 1.1 0.956763 0.956763 0.478381 -0.956763 -0.9 1.1 0.960405 0.960405 0.480203 -0.960405 -0.8 1.1 0.963676 0.963676 0.481838 -0.963676 -0.7 1.1 0.966572 0.966572 0.483286 -0.966572 -0.6 1.1 0.969088 0.969088 0.484544 -0.969088 -0.5 1.1 0.971222 0.971222 0.485611 -0.971222 -0.4 1.1 0.972972 0.972972 0.486486 -0.972972 -0.3 1.1 0.974335 0.974335 0.487168 -0.974335 -0.2 1.1 0.97531 0.97531 0.487655 -0.97531 -0.1 1.1 0.975895 0.975895 0.487948 -0.975895 0 1.1 0.97609 0.97609 0.488045 -0.97609 0.1 1.1 0.975895 0.975895 0.487948 -0.975895 0.2 1.1 0.97531 0.97531 0.487655 -0.97531 0.3 1.1 0.974335 0.974335 0.487168 -0.974335 0.4 1.1 0.972972 0.972972 0.486486 -0.972972 0.5 1.1 0.971222 0.971222 0.485611 -0.971222 0.6 1.1 0.969088 0.969088 0.484544 -0.969088 0.7 1.1 0.966572 0.966572 0.483286 -0.966572 0.8 1.1 0.963676 0.963676 0.481838 -0.963676 0.9 1.1 0.960405 0.960405 0.480203 -0.960405 1 1.1 0.956763 0.956763 0.478381 -0.956763 1.1 1.1 0.952753 0.952753 0.476376 -0.952753 1.2 1.1 0.94838 0.94838 0.47419 -0.94838 1.3 1.1 0.94365 0.94365 0.471825 -0.94365 1.4 1.1 0.938568 0.938568 0.469284 -0.938568 1.5 1.1 0.93314 0.93314 0.46657 -0.93314 1.6 1.1 0.927372 0.927372 0.463686 -0.927372 1.7 1.1 0.921272 0.921272 0.460636 -0.921272 1.8 1.1 0.914846 0.914846 0.457423 -0.914846 1.9 1.1 0.908101 0.908101 0.45405 -0.908101 2 1.1 0.901045 0.901045 0.450523 -0.901045 2.1 1.1 0.893687 0.893687 0.446843 -0.893687 2.2 1.1 0.886034 0.886034 0.443017 -0.886034 2.3 1.1 0.878095 0.878095 0.439048 -0.878095 2.4 1.1 0.86988 0.86988 0.43494 -0.86988 2.5 1.1 0.861397 0.861397 0.430698 -0.861397 2.6 1.1 0.852655 0.852655 0.426328 -0.852655 2.7 1.1 0.843665 0.843665 0.421832 -0.843665 2.8 1.1 0.834435 0.834435 0.417218 -0.834435 2.9 1.1 0.824977 0.824977 0.412488 -0.824977 3 1.1 0.815299 0.815299 0.40765 -0.815299 3.1 1.1 0.805413 0.805413 0.402707 -0.805413 3.2 1.1 0.795329 0.795329 0.397664 -0.795329 3.3 1.1 0.785056 0.785056 0.392528 -0.785056 3.4 1.1 0.774607 0.774607 0.387303 -0.774607 3.5 1.1 0.76399 0.76399 0.381995 -0.76399 3.6 1.1 0.753218 0.753218 0.376609 -0.753218 3.7 1.1 0.742301 0.742301 0.371151 -0.742301 3.8 1.1 0.73125 0.73125 0.365625 -0.73125 3.9 1.1 0.720075 0.720075 0.360037 -0.720075 4 1.1 0.708787 0.708787 0.354394 -0.708787 4.1 1.1 0.697397 0.697397 0.348699 -0.697397 4.2 1.1 0.685916 0.685916 0.342958 -0.685916 4.3 1.1 0.674354 0.674354 0.337177 -0.674354 4.4 1.1 0.662722 0.662722 0.331361 -0.662722 4.5 1.1 0.65103 0.65103 0.325515 -0.65103 4.6 1.1 0.639288 0.639288 0.319644 -0.639288 4.7 1.1 0.627507 0.627507 0.313754 -0.627507 4.8 1.1 0.615697 0.615697 0.307849 -0.615697 4.9 1.1 0.603868 0.603868 0.301934 -0.603868 -5 1.2 0.589312 0.589312 0.294656 -0.589312 -4.9 1.2 0.601096 0.601096 0.300548 -0.601096 -4.8 1.2 0.612871 0.612871 0.306436 -0.612871 -4.7 1.2 0.624627 0.624627 0.312314 -0.624627 -4.6 1.2 0.636354 0.636354 0.318177 -0.636354 -4.5 1.2 0.648042 0.648042 0.324021 -0.648042 -4.4 1.2 0.65968 0.65968 0.32984 -0.65968 -4.3 1.2 0.671259 0.671259 0.33563 -0.671259 -4.2 1.2 0.682768 0.682768 0.341384 -0.682768 -4.1 1.2 0.694197 0.694197 0.347098 -0.694197 -4 1.2 0.705534 0.705534 0.352767 -0.705534 -3.9 1.2 0.71677 0.71677 0.358385 -0.71677 -3.8 1.2 0.727894 0.727894 0.363947 -0.727894 -3.7 1.2 0.738895 0.738895 0.369447 -0.738895 -3.6 1.2 0.749762 0.749762 0.374881 -0.749762 -3.5 1.2 0.760484 0.760484 0.380242 -0.760484 -3.4 1.2 0.771052 0.771052 0.385526 -0.771052 -3.3 1.2 0.781453 0.781453 0.390727 -0.781453 -3.2 1.2 0.791678 0.791678 0.395839 -0.791678 -3.1 1.2 0.801717 0.801717 0.400858 -0.801717 -3 1.2 0.811558 0.811558 0.405779 -0.811558 -2.9 1.2 0.821191 0.821191 0.410595 -0.821191 -2.8 1.2 0.830606 0.830606 0.415303 -0.830606 -2.7 1.2 0.839793 0.839793 0.419896 -0.839793 -2.6 1.2 0.848742 0.848742 0.424371 -0.848742 -2.5 1.2 0.857443 0.857443 0.428722 -0.857443 -2.4 1.2 0.865888 0.865888 0.432944 -0.865888 -2.3 1.2 0.874065 0.874065 0.437033 -0.874065 -2.2 1.2 0.881968 0.881968 0.440984 -0.881968 -2.1 1.2 0.889585 0.889585 0.444793 -0.889585 -2 1.2 0.89691 0.89691 0.448455 -0.89691 -1.9 1.2 0.903933 0.903933 0.451967 -0.903933 -1.8 1.2 0.910647 0.910647 0.455323 -0.910647 -1.7 1.2 0.917044 0.917044 0.458522 -0.917044 -1.6 1.2 0.923116 0.923116 0.461558 -0.923116 -1.5 1.2 0.928857 0.928857 0.464429 -0.928857 -1.4 1.2 0.93426 0.93426 0.46713 -0.93426 -1.3 1.2 0.939319 0.939319 0.46966 -0.939319 -1.2 1.2 0.944027 0.944027 0.472014 -0.944027 -1.1 1.2 0.94838 0.94838 0.47419 -0.94838 -1 1.2 0.952372 0.952372 0.476186 -0.952372 -0.9 1.2 0.955997 0.955997 0.477999 -0.955997 -0.8 1.2 0.959253 0.959253 0.479627 -0.959253 -0.7 1.2 0.962135 0.962135 0.481068 -0.962135 -0.6 1.2 0.96464 0.96464 0.48232 -0.96464 -0.5 1.2 0.966765 0.966765 0.483382 -0.966765 -0.4 1.2 0.968507 0.968507 0.484253 -0.968507 -0.3 1.2 0.969863 0.969863 0.484932 -0.969863 -0.2 1.2 0.970834 0.970834 0.485417 -0.970834 -0.1 1.2 0.971416 0.971416 0.485708 -0.971416 0 1.2 0.971611 0.971611 0.485805 -0.971611 0.1 1.2 0.971416 0.971416 0.485708 -0.971416 0.2 1.2 0.970834 0.970834 0.485417 -0.970834 0.3 1.2 0.969863 0.969863 0.484932 -0.969863 0.4 1.2 0.968507 0.968507 0.484253 -0.968507 0.5 1.2 0.966765 0.966765 0.483382 -0.966765 0.6 1.2 0.96464 0.96464 0.48232 -0.96464 0.7 1.2 0.962135 0.962135 0.481068 -0.962135 0.8 1.2 0.959253 0.959253 0.479627 -0.959253 0.9 1.2 0.955997 0.955997 0.477999 -0.955997 1 1.2 0.952372 0.952372 0.476186 -0.952372 1.1 1.2 0.94838 0.94838 0.47419 -0.94838 1.2 1.2 0.944027 0.944027 0.472014 -0.944027 1.3 1.2 0.939319 0.939319 0.46966 -0.939319 1.4 1.2 0.93426 0.93426 0.46713 -0.93426 1.5 1.2 0.928857 0.928857 0.464429 -0.928857 1.6 1.2 0.923116 0.923116 0.461558 -0.923116 1.7 1.2 0.917044 0.917044 0.458522 -0.917044 1.8 1.2 0.910647 0.910647 0.455323 -0.910647 1.9 1.2 0.903933 0.903933 0.451967 -0.903933 2 1.2 0.89691 0.89691 0.448455 -0.89691 2.1 1.2 0.889585 0.889585 0.444793 -0.889585 2.2 1.2 0.881968 0.881968 0.440984 -0.881968 2.3 1.2 0.874065 0.874065 0.437033 -0.874065 2.4 1.2 0.865888 0.865888 0.432944 -0.865888 2.5 1.2 0.857443 0.857443 0.428722 -0.857443 2.6 1.2 0.848742 0.848742 0.424371 -0.848742 2.7 1.2 0.839793 0.839793 0.419896 -0.839793 2.8 1.2 0.830606 0.830606 0.415303 -0.830606 2.9 1.2 0.821191 0.821191 0.410595 -0.821191 3 1.2 0.811558 0.811558 0.405779 -0.811558 3.1 1.2 0.801717 0.801717 0.400858 -0.801717 3.2 1.2 0.791678 0.791678 0.395839 -0.791678 3.3 1.2 0.781453 0.781453 0.390727 -0.781453 3.4 1.2 0.771052 0.771052 0.385526 -0.771052 3.5 1.2 0.760484 0.760484 0.380242 -0.760484 3.6 1.2 0.749762 0.749762 0.374881 -0.749762 3.7 1.2 0.738895 0.738895 0.369447 -0.738895 3.8 1.2 0.727894 0.727894 0.363947 -0.727894 3.9 1.2 0.71677 0.71677 0.358385 -0.71677 4 1.2 0.705534 0.705534 0.352767 -0.705534 4.1 1.2 0.694197 0.694197 0.347098 -0.694197 4.2 1.2 0.682768 0.682768 0.341384 -0.682768 4.3 1.2 0.671259 0.671259 0.33563 -0.671259 4.4 1.2 0.65968 0.65968 0.32984 -0.65968 4.5 1.2 0.648042 0.648042 0.324021 -0.648042 4.6 1.2 0.636354 0.636354 0.318177 -0.636354 4.7 1.2 0.624627 0.624627 0.312314 -0.624627 4.8 1.2 0.612871 0.612871 0.306436 -0.612871 4.9 1.2 0.601096 0.601096 0.300548 -0.601096 -5 1.3 0.586373 0.586373 0.293186 -0.586373 -4.9 1.3 0.598098 0.598098 0.299049 -0.598098 -4.8 1.3 0.609815 0.609815 0.304907 -0.609815 -4.7 1.3 0.621512 0.621512 0.310756 -0.621512 -4.6 1.3 0.63318 0.63318 0.31659 -0.63318 -4.5 1.3 0.64481 0.64481 0.322405 -0.64481 -4.4 1.3 0.65639 0.65639 0.328195 -0.65639 -4.3 1.3 0.667911 0.667911 0.333956 -0.667911 -4.2 1.3 0.679363 0.679363 0.339681 -0.679363 -4.1 1.3 0.690734 0.690734 0.345367 -0.690734 -4 1.3 0.702015 0.702015 0.351008 -0.702015 -3.9 1.3 0.713195 0.713195 0.356598 -0.713195 -3.8 1.3 0.724264 0.724264 0.362132 -0.724264 -3.7 1.3 0.735209 0.735209 0.367605 -0.735209 -3.6 1.3 0.746022 0.746022 0.373011 -0.746022 -3.5 1.3 0.756691 0.756691 0.378346 -0.756691 -3.4 1.3 0.767206 0.767206 0.383603 -0.767206 -3.3 1.3 0.777556 0.777556 0.388778 -0.777556 -3.2 1.3 0.78773 0.78773 0.393865 -0.78773 -3.1 1.3 0.797718 0.797718 0.398859 -0.797718 -3 1.3 0.80751 0.80751 0.403755 -0.80751 -2.9 1.3 0.817095 0.817095 0.408547 -0.817095 -2.8 1.3 0.826463 0.826463 0.413232 -0.826463 -2.7 1.3 0.835604 0.835604 0.417802 -0.835604 -2.6 1.3 0.844509 0.844509 0.422254 -0.844509 -2.5 1.3 0.853167 0.853167 0.426583 -0.853167 -2.4 1.3 0.861569 0.861569 0.430785 -0.861569 -2.3 1.3 0.869706 0.869706 0.434853 -0.869706 -2.2 1.3 0.877569 0.877569 0.438784 -0.877569 -2.1 1.3 0.885148 0.885148 0.442574 -0.885148 -2 1.3 0.892436 0.892436 0.446218 -0.892436 -1.9 1.3 0.899425 0.899425 0.449712 -0.899425 -1.8 1.3 0.906105 0.906105 0.453053 -0.906105 -1.7 1.3 0.91247 0.91247 0.456235 -0.91247 -1.6 1.3 0.918512 0.918512 0.459256 -0.918512 -1.5 1.3 0.924225 0.924225 0.462112 -0.924225 -1.4 1.3 0.929601 0.929601 0.4648 -0.929601 -1.3 1.3 0.934634 0.934634 0.467317 -0.934634 -1.2 1.3 0.939319 0.939319 0.46966 -0.939319 -1.1 1.3 0.94365 0.94365 0.471825 -0.94365 -1 1.3 0.947622 0.947622 0.473811 -0.947622 -0.9 1.3 0.951229 0.951229 0.475615 -0.951229 -0.8 1.3 0.954469 0.954469 0.477235 -0.954469 -0.7 1.3 0.957337 0.957337 0.478668 -0.957337 -0.6 1.3 0.959829 0.959829 0.479915 -0.959829 -0.5 1.3 0.961943 0.961943 0.480972 -0.961943 -0.4 1.3 0.963676 0.963676 0.481838 -0.963676 -0.3 1.3 0.965026 0.965026 0.482513 -0.965026 -0.2 1.3 0.965992 0.965992 0.482996 -0.965992 -0.1 1.3 0.966572 0.966572 0.483286 -0.966572 0 1.3 0.966765 0.966765 0.483382 -0.966765 0.1 1.3 0.966572 0.966572 0.483286 -0.966572 0.2 1.3 0.965992 0.965992 0.482996 -0.965992 0.3 1.3 0.965026 0.965026 0.482513 -0.965026 0.4 1.3 0.963676 0.963676 0.481838 -0.963676 0.5 1.3 0.961943 0.961943 0.480972 -0.961943 0.6 1.3 0.959829 0.959829 0.479915 -0.959829 0.7 1.3 0.957337 0.957337 0.478668 -0.957337 0.8 1.3 0.954469 0.954469 0.477235 -0.954469 0.9 1.3 0.951229 0.951229 0.475615 -0.951229 1 1.3 0.947622 0.947622 0.473811 -0.947622 1.1 1.3 0.94365 0.94365 0.471825 -0.94365 1.2 1.3 0.939319 0.939319 0.46966 -0.939319 1.3 1.3 0.934634 0.934634 0.467317 -0.934634 1.4 1.3 0.929601 0.929601 0.4648 -0.929601 1.5 1.3 0.924225 0.924225 0.462112 -0.924225 1.6 1.3 0.918512 0.918512 0.459256 -0.918512 1.7 1.3 0.91247 0.91247 0.456235 -0.91247 1.8 1.3 0.906105 0.906105 0.453053 -0.906105 1.9 1.3 0.899425 0.899425 0.449712 -0.899425 2 1.3 0.892436 0.892436 0.446218 -0.892436 2.1 1.3 0.885148 0.885148 0.442574 -0.885148 2.2 1.3 0.877569 0.877569 0.438784 -0.877569 2.3 1.3 0.869706 0.869706 0.434853 -0.869706 2.4 1.3 0.861569 0.861569 0.430785 -0.861569 2.5 1.3 0.853167 0.853167 0.426583 -0.853167 2.6 1.3 0.844509 0.844509 0.422254 -0.844509 2.7 1.3 0.835604 0.835604 0.417802 -0.835604 2.8 1.3 0.826463 0.826463 0.413232 -0.826463 2.9 1.3 0.817095 0.817095 0.408547 -0.817095 3 1.3 0.80751 0.80751 0.403755 -0.80751 3.1 1.3 0.797718 0.797718 0.398859 -0.797718 3.2 1.3 0.78773 0.78773 0.393865 -0.78773 3.3 1.3 0.777556 0.777556 0.388778 -0.777556 3.4 1.3 0.767206 0.767206 0.383603 -0.767206 3.5 1.3 0.756691 0.756691 0.378346 -0.756691 3.6 1.3 0.746022 0.746022 0.373011 -0.746022 3.7 1.3 0.735209 0.735209 0.367605 -0.735209 3.8 1.3 0.724264 0.724264 0.362132 -0.724264 3.9 1.3 0.713195 0.713195 0.356598 -0.713195 4 1.3 0.702015 0.702015 0.351008 -0.702015 4.1 1.3 0.690734 0.690734 0.345367 -0.690734 4.2 1.3 0.679363 0.679363 0.339681 -0.679363 4.3 1.3 0.667911 0.667911 0.333956 -0.667911 4.4 1.3 0.65639 0.65639 0.328195 -0.65639 4.5 1.3 0.64481 0.64481 0.322405 -0.64481 4.6 1.3 0.63318 0.63318 0.31659 -0.63318 4.7 1.3 0.621512 0.621512 0.310756 -0.621512 4.8 1.3 0.609815 0.609815 0.304907 -0.609815 4.9 1.3 0.598098 0.598098 0.299049 -0.598098 -5 1.4 0.583215 0.583215 0.291607 -0.583215 -4.9 1.4 0.594877 0.594877 0.297439 -0.594877 -4.8 1.4 0.606531 0.606531 0.303265 -0.606531 -4.7 1.4 0.618165 0.618165 0.309082 -0.618165 -4.6 1.4 0.62977 0.62977 0.314885 -0.62977 -4.5 1.4 0.641337 0.641337 0.320669 -0.641337 -4.4 1.4 0.652855 0.652855 0.326428 -0.652855 -4.3 1.4 0.664314 0.664314 0.332157 -0.664314 -4.2 1.4 0.675704 0.675704 0.337852 -0.675704 -4.1 1.4 0.687014 0.687014 0.343507 -0.687014 -4 1.4 0.698235 0.698235 0.349117 -0.698235 -3.9 1.4 0.709354 0.709354 0.354677 -0.709354 -3.8 1.4 0.720363 0.720363 0.360182 -0.720363 -3.7 1.4 0.73125 0.73125 0.365625 -0.73125 -3.6 1.4 0.742004 0.742004 0.371002 -0.742004 -3.5 1.4 0.752616 0.752616 0.376308 -0.752616 -3.4 1.4 0.763074 0.763074 0.381537 -0.763074 -3.3 1.4 0.773368 0.773368 0.386684 -0.773368 -3.2 1.4 0.783488 0.783488 0.391744 -0.783488 -3.1 1.4 0.793422 0.793422 0.396711 -0.793422 -3 1.4 0.803161 0.803161 0.401581 -0.803161 -2.9 1.4 0.812695 0.812695 0.406347 -0.812695 -2.8 1.4 0.822012 0.822012 0.411006 -0.822012 -2.7 1.4 0.831104 0.831104 0.415552 -0.831104 -2.6 1.4 0.839961 0.839961 0.41998 -0.839961 -2.5 1.4 0.848572 0.848572 0.424286 -0.848572 -2.4 1.4 0.856929 0.856929 0.428465 -0.856929 -2.3 1.4 0.865022 0.865022 0.432511 -0.865022 -2.2 1.4 0.872843 0.872843 0.436421 -0.872843 -2.1 1.4 0.880381 0.880381 0.440191 -0.880381 -2 1.4 0.88763 0.88763 0.443815 -0.88763 -1.9 1.4 0.894581 0.894581 0.44729 -0.894581 -1.8 1.4 0.901225 0.901225 0.450613 -0.901225 -1.7 1.4 0.907556 0.907556 0.453778 -0.907556 -1.6 1.4 0.913566 0.913566 0.456783 -0.913566 -1.5 1.4 0.919247 0.919247 0.459624 -0.919247 -1.4 1.4 0.924595 0.924595 0.462297 -0.924595 -1.3 1.4 0.929601 0.929601 0.4648 -0.929601 -1.2 1.4 0.93426 0.93426 0.46713 -0.93426 -1.1 1.4 0.938568 0.938568 0.469284 -0.938568 -1 1.4 0.942518 0.942518 0.471259 -0.942518 -0.9 1.4 0.946107 0.946107 0.473053 -0.946107 -0.8 1.4 0.949329 0.949329 0.474664 -0.949329 -0.7 1.4 0.952181 0.952181 0.476091 -0.952181 -0.6 1.4 0.95466 0.95466 0.47733 -0.95466 -0.5 1.4 0.956763 0.956763 0.478381 -0.956763 -0.4 1.4 0.958486 0.958486 0.479243 -0.958486 -0.3 1.4 0.959829 0.959829 0.479915 -0.959829 -0.2 1.4 0.960789 0.960789 0.480395 -0.960789 -0.1 1.4 0.961366 0.961366 0.480683 -0.961366 0 1.4 0.961558 0.961558 0.480779 -0.961558 0.1 1.4 0.961366 0.961366 0.480683 -0.961366 0.2 1.4 0.960789 0.960789 0.480395 -0.960789 0.3 1.4 0.959829 0.959829 0.479915 -0.959829 0.4 1.4 0.958486 0.958486 0.479243 -0.958486 0.5 1.4 0.956763 0.956763 0.478381 -0.956763 0.6 1.4 0.95466 0.95466 0.47733 -0.95466 0.7 1.4 0.952181 0.952181 0.476091 -0.952181 0.8 1.4 0.949329 0.949329 0.474664 -0.949329 0.9 1.4 0.946107 0.946107 0.473053 -0.946107 1 1.4 0.942518 0.942518 0.471259 -0.942518 1.1 1.4 0.938568 0.938568 0.469284 -0.938568 1.2 1.4 0.93426 0.93426 0.46713 -0.93426 1.3 1.4 0.929601 0.929601 0.4648 -0.929601 1.4 1.4 0.924595 0.924595 0.462297 -0.924595 1.5 1.4 0.919247 0.919247 0.459624 -0.919247 1.6 1.4 0.913566 0.913566 0.456783 -0.913566 1.7 1.4 0.907556 0.907556 0.453778 -0.907556 1.8 1.4 0.901225 0.901225 0.450613 -0.901225 1.9 1.4 0.894581 0.894581 0.44729 -0.894581 2 1.4 0.88763 0.88763 0.443815 -0.88763 2.1 1.4 0.880381 0.880381 0.440191 -0.880381 2.2 1.4 0.872843 0.872843 0.436421 -0.872843 2.3 1.4 0.865022 0.865022 0.432511 -0.865022 2.4 1.4 0.856929 0.856929 0.428465 -0.856929 2.5 1.4 0.848572 0.848572 0.424286 -0.848572 2.6 1.4 0.839961 0.839961 0.41998 -0.839961 2.7 1.4 0.831104 0.831104 0.415552 -0.831104 2.8 1.4 0.822012 0.822012 0.411006 -0.822012 2.9 1.4 0.812695 0.812695 0.406347 -0.812695 3 1.4 0.803161 0.803161 0.401581 -0.803161 3.1 1.4 0.793422 0.793422 0.396711 -0.793422 3.2 1.4 0.783488 0.783488 0.391744 -0.783488 3.3 1.4 0.773368 0.773368 0.386684 -0.773368 3.4 1.4 0.763074 0.763074 0.381537 -0.763074 3.5 1.4 0.752616 0.752616 0.376308 -0.752616 3.6 1.4 0.742004 0.742004 0.371002 -0.742004 3.7 1.4 0.73125 0.73125 0.365625 -0.73125 3.8 1.4 0.720363 0.720363 0.360182 -0.720363 3.9 1.4 0.709354 0.709354 0.354677 -0.709354 4 1.4 0.698235 0.698235 0.349117 -0.698235 4.1 1.4 0.687014 0.687014 0.343507 -0.687014 4.2 1.4 0.675704 0.675704 0.337852 -0.675704 4.3 1.4 0.664314 0.664314 0.332157 -0.664314 4.4 1.4 0.652855 0.652855 0.326428 -0.652855 4.5 1.4 0.641337 0.641337 0.320669 -0.641337 4.6 1.4 0.62977 0.62977 0.314885 -0.62977 4.7 1.4 0.618165 0.618165 0.309082 -0.618165 4.8 1.4 0.606531 0.606531 0.303265 -0.606531 4.9 1.4 0.594877 0.594877 0.297439 -0.594877 -5 1.5 0.579842 0.579842 0.289921 -0.579842 -4.9 1.5 0.591437 0.591437 0.295719 -0.591437 -4.8 1.5 0.603023 0.603023 0.301511 -0.603023 -4.7 1.5 0.61459 0.61459 0.307295 -0.61459 -4.6 1.5 0.626128 0.626128 0.313064 -0.626128 -4.5 1.5 0.637628 0.637628 0.318814 -0.637628 -4.4 1.5 0.64908 0.64908 0.32454 -0.64908 -4.3 1.5 0.660472 0.660472 0.330236 -0.660472 -4.2 1.5 0.671796 0.671796 0.335898 -0.671796 -4.1 1.5 0.683041 0.683041 0.341521 -0.683041 -4 1.5 0.694197 0.694197 0.347098 -0.694197 -3.9 1.5 0.705252 0.705252 0.352626 -0.705252 -3.8 1.5 0.716197 0.716197 0.358099 -0.716197 -3.7 1.5 0.727021 0.727021 0.36351 -0.727021 -3.6 1.5 0.737713 0.737713 0.368857 -0.737713 -3.5 1.5 0.748264 0.748264 0.374132 -0.748264 -3.4 1.5 0.758661 0.758661 0.379331 -0.758661 -3.3 1.5 0.768896 0.768896 0.384448 -0.768896 -3.2 1.5 0.778957 0.778957 0.389478 -0.778957 -3.1 1.5 0.788834 0.788834 0.394417 -0.788834 -3 1.5 0.798516 0.798516 0.399258 -0.798516 -2.9 1.5 0.807995 0.807995 0.403997 -0.807995 -2.8 1.5 0.817258 0.817258 0.408629 -0.817258 -2.7 1.5 0.826298 0.826298 0.413149 -0.826298 -2.6 1.5 0.835103 0.835103 0.417552 -0.835103 -2.5 1.5 0.843665 0.843665 0.421832 -0.843665 -2.4 1.5 0.851973 0.851973 0.425987 -0.851973 -2.3 1.5 0.86002 0.86002 0.43001 -0.86002 -2.2 1.5 0.867795 0.867795 0.433897 -0.867795 -2.1 1.5 0.87529 0.87529 0.437645 -0.87529 -2 1.5 0.882497 0.882497 0.441248 -0.882497 -1.9 1.5 0.889407 0.889407 0.444704 -0.889407 -1.8 1.5 0.896013 0.896013 0.448007 -0.896013 -1.7 1.5 0.902307 0.902307 0.451154 -0.902307 -1.6 1.5 0.908282 0.908282 0.454141 -0.908282 -1.5 1.5 0.913931 0.913931 0.456966 -0.913931 -1.4 1.5 0.919247 0.919247 0.459624 -0.919247 -1.3 1.5 0.924225 0.924225 0.462112 -0.924225 -1.2 1.5 0.928857 0.928857 0.464429 -0.928857 -1.1 1.5 0.93314 0.93314 0.46657 -0.93314 -1 1.5 0.937067 0.937067 0.468534 -0.937067 -0.9 1.5 0.940635 0.940635 0.470318 -0.940635 -0.8 1.5 0.943839 0.943839 0.471919 -0.943839 -0.7 1.5 0.946674 0.946674 0.473337 -0.946674 -0.6 1.5 0.949139 0.949139 0.47457 -0.949139 -0.5 1.5 0.951229 0.951229 0.475615 -0.951229 -0.4 1.5 0.952943 0.952943 0.476472 -0.952943 -0.3 1.5 0.954278 0.954278 0.477139 -0.954278 -0.2 1.5 0.955233 0.955233 0.477616 -0.955233 -0.1 1.5 0.955806 0.955806 0.477903 -0.955806 0 1.5 0.955997 0.955997 0.477999 -0.955997 0.1 1.5 0.955806 0.955806 0.477903 -0.955806 0.2 1.5 0.955233 0.955233 0.477616 -0.955233 0.3 1.5 0.954278 0.954278 0.477139 -0.954278 0.4 1.5 0.952943 0.952943 0.476472 -0.952943 0.5 1.5 0.951229 0.951229 0.475615 -0.951229 0.6 1.5 0.949139 0.949139 0.47457 -0.949139 0.7 1.5 0.946674 0.946674 0.473337 -0.946674 0.8 1.5 0.943839 0.943839 0.471919 -0.943839 0.9 1.5 0.940635 0.940635 0.470318 -0.940635 1 1.5 0.937067 0.937067 0.468534 -0.937067 1.1 1.5 0.93314 0.93314 0.46657 -0.93314 1.2 1.5 0.928857 0.928857 0.464429 -0.928857 1.3 1.5 0.924225 0.924225 0.462112 -0.924225 1.4 1.5 0.919247 0.919247 0.459624 -0.919247 1.5 1.5 0.913931 0.913931 0.456966 -0.913931 1.6 1.5 0.908282 0.908282 0.454141 -0.908282 1.7 1.5 0.902307 0.902307 0.451154 -0.902307 1.8 1.5 0.896013 0.896013 0.448007 -0.896013 1.9 1.5 0.889407 0.889407 0.444704 -0.889407 2 1.5 0.882497 0.882497 0.441248 -0.882497 2.1 1.5 0.87529 0.87529 0.437645 -0.87529 2.2 1.5 0.867795 0.867795 0.433897 -0.867795 2.3 1.5 0.86002 0.86002 0.43001 -0.86002 2.4 1.5 0.851973 0.851973 0.425987 -0.851973 2.5 1.5 0.843665 0.843665 0.421832 -0.843665 2.6 1.5 0.835103 0.835103 0.417552 -0.835103 2.7 1.5 0.826298 0.826298 0.413149 -0.826298 2.8 1.5 0.817258 0.817258 0.408629 -0.817258 2.9 1.5 0.807995 0.807995 0.403997 -0.807995 3 1.5 0.798516 0.798516 0.399258 -0.798516 3.1 1.5 0.788834 0.788834 0.394417 -0.788834 3.2 1.5 0.778957 0.778957 0.389478 -0.778957 3.3 1.5 0.768896 0.768896 0.384448 -0.768896 3.4 1.5 0.758661 0.758661 0.379331 -0.758661 3.5 1.5 0.748264 0.748264 0.374132 -0.748264 3.6 1.5 0.737713 0.737713 0.368857 -0.737713 3.7 1.5 0.727021 0.727021 0.36351 -0.727021 3.8 1.5 0.716197 0.716197 0.358099 -0.716197 3.9 1.5 0.705252 0.705252 0.352626 -0.705252 4 1.5 0.694197 0.694197 0.347098 -0.694197 4.1 1.5 0.683041 0.683041 0.341521 -0.683041 4.2 1.5 0.671796 0.671796 0.335898 -0.671796 4.3 1.5 0.660472 0.660472 0.330236 -0.660472 4.4 1.5 0.64908 0.64908 0.32454 -0.64908 4.5 1.5 0.637628 0.637628 0.318814 -0.637628 4.6 1.5 0.626128 0.626128 0.313064 -0.626128 4.7 1.5 0.61459 0.61459 0.307295 -0.61459 4.8 1.5 0.603023 0.603023 0.301511 -0.603023 4.9 1.5 0.591437 0.591437 0.295719 -0.591437 -5 1.6 0.576258 0.576258 0.288129 -0.576258 -4.9 1.6 0.587781 0.587781 0.293891 -0.587781 -4.8 1.6 0.599296 0.599296 0.299648 -0.599296 -4.7 1.6 0.610791 0.610791 0.305396 -0.610791 -4.6 1.6 0.622258 0.622258 0.311129 -0.622258 -4.5 1.6 0.633687 0.633687 0.316844 -0.633687 -4.4 1.6 0.645068 0.645068 0.322534 -0.645068 -4.3 1.6 0.65639 0.65639 0.328195 -0.65639 -4.2 1.6 0.667644 0.667644 0.333822 -0.667644 -4.1 1.6 0.67882 0.67882 0.33941 -0.67882 -4 1.6 0.689906 0.689906 0.344953 -0.689906 -3.9 1.6 0.700893 0.700893 0.350447 -0.700893 -3.8 1.6 0.71177 0.71177 0.355885 -0.71177 -3.7 1.6 0.722527 0.722527 0.361264 -0.722527 -3.6 1.6 0.733154 0.733154 0.366577 -0.733154 -3.5 1.6 0.743639 0.743639 0.371819 -0.743639 -3.4 1.6 0.753972 0.753972 0.376986 -0.753972 -3.3 1.6 0.764143 0.764143 0.382072 -0.764143 -3.2 1.6 0.774142 0.774142 0.387071 -0.774142 -3.1 1.6 0.783958 0.783958 0.391979 -0.783958 -3 1.6 0.793581 0.793581 0.39679 -0.793581 -2.9 1.6 0.803 0.803 0.4015 -0.803 -2.8 1.6 0.812207 0.812207 0.406104 -0.812207 -2.7 1.6 0.821191 0.821191 0.410595 -0.821191 -2.6 1.6 0.829942 0.829942 0.414971 -0.829942 -2.5 1.6 0.83845 0.83845 0.419225 -0.83845 -2.4 1.6 0.846707 0.846707 0.423354 -0.846707 -2.3 1.6 0.854704 0.854704 0.427352 -0.854704 -2.2 1.6 0.862431 0.862431 0.431216 -0.862431 -2.1 1.6 0.86988 0.86988 0.43494 -0.86988 -2 1.6 0.877042 0.877042 0.438521 -0.877042 -1.9 1.6 0.88391 0.88391 0.441955 -0.88391 -1.8 1.6 0.890475 0.890475 0.445238 -0.890475 -1.7 1.6 0.89673 0.89673 0.448365 -0.89673 -1.6 1.6 0.902668 0.902668 0.451334 -0.902668 -1.5 1.6 0.908282 0.908282 0.454141 -0.908282 -1.4 1.6 0.913566 0.913566 0.456783 -0.913566 -1.3 1.6 0.918512 0.918512 0.459256 -0.918512 -1.2 1.6 0.923116 0.923116 0.461558 -0.923116 -1.1 1.6 0.927372 0.927372 0.463686 -0.927372 -1 1.6 0.931276 0.931276 0.465638 -0.931276 -0.9 1.6 0.934821 0.934821 0.467411 -0.934821 -0.8 1.6 0.938005 0.938005 0.469002 -0.938005 -0.7 1.6 0.940823 0.940823 0.470412 -0.940823 -0.6 1.6 0.943273 0.943273 0.471636 -0.943273 -0.5 1.6 0.94535 0.94535 0.472675 -0.94535 -0.4 1.6 0.947053 0.947053 0.473527 -0.947053 -0.3 1.6 0.94838 0.94838 0.47419 -0.94838 -0.2 1.6 0.949329 0.949329 0.474664 -0.949329 -0.1 1.6 0.949899 0.949899 0.474949 -0.949899 0 1.6 0.950089 0.950089 0.475044 -0.950089 0.1 1.6 0.949899 0.949899 0.474949 -0.949899 0.2 1.6 0.949329 0.949329 0.474664 -0.949329 0.3 1.6 0.94838 0.94838 0.47419 -0.94838 0.4 1.6 0.947053 0.947053 0.473527 -0.947053 0.5 1.6 0.94535 0.94535 0.472675 -0.94535 0.6 1.6 0.943273 0.943273 0.471636 -0.943273 0.7 1.6 0.940823 0.940823 0.470412 -0.940823 0.8 1.6 0.938005 0.938005 0.469002 -0.938005 0.9 1.6 0.934821 0.934821 0.467411 -0.934821 1 1.6 0.931276 0.931276 0.465638 -0.931276 1.1 1.6 0.927372 0.927372 0.463686 -0.927372 1.2 1.6 0.923116 0.923116 0.461558 -0.923116 1.3 1.6 0.918512 0.918512 0.459256 -0.918512 1.4 1.6 0.913566 0.913566 0.456783 -0.913566 1.5 1.6 0.908282 0.908282 0.454141 -0.908282 1.6 1.6 0.902668 0.902668 0.451334 -0.902668 1.7 1.6 0.89673 0.89673 0.448365 -0.89673 1.8 1.6 0.890475 0.890475 0.445238 -0.890475 1.9 1.6 0.88391 0.88391 0.441955 -0.88391 2 1.6 0.877042 0.877042 0.438521 -0.877042 2.1 1.6 0.86988 0.86988 0.43494 -0.86988 2.2 1.6 0.862431 0.862431 0.431216 -0.862431 2.3 1.6 0.854704 0.854704 0.427352 -0.854704 2.4 1.6 0.846707 0.846707 0.423354 -0.846707 2.5 1.6 0.83845 0.83845 0.419225 -0.83845 2.6 1.6 0.829942 0.829942 0.414971 -0.829942 2.7 1.6 0.821191 0.821191 0.410595 -0.821191 2.8 1.6 0.812207 0.812207 0.406104 -0.812207 2.9 1.6 0.803 0.803 0.4015 -0.803 3 1.6 0.793581 0.793581 0.39679 -0.793581 3.1 1.6 0.783958 0.783958 0.391979 -0.783958 3.2 1.6 0.774142 0.774142 0.387071 -0.774142 3.3 1.6 0.764143 0.764143 0.382072 -0.764143 3.4 1.6 0.753972 0.753972 0.376986 -0.753972 3.5 1.6 0.743639 0.743639 0.371819 -0.743639 3.6 1.6 0.733154 0.733154 0.366577 -0.733154 3.7 1.6 0.722527 0.722527 0.361264 -0.722527 3.8 1.6 0.71177 0.71177 0.355885 -0.71177 3.9 1.6 0.700893 0.700893 0.350447 -0.700893 4 1.6 0.689906 0.689906 0.344953 -0.689906 4.1 1.6 0.67882 0.67882 0.33941 -0.67882 4.2 1.6 0.667644 0.667644 0.333822 -0.667644 4.3 1.6 0.65639 0.65639 0.328195 -0.65639 4.4 1.6 0.645068 0.645068 0.322534 -0.645068 4.5 1.6 0.633687 0.633687 0.316844 -0.633687 4.6 1.6 0.622258 0.622258 0.311129 -0.622258 4.7 1.6 0.610791 0.610791 0.305396 -0.610791 4.8 1.6 0.599296 0.599296 0.299648 -0.599296 4.9 1.6 0.587781 0.587781 0.293891 -0.587781 -5 1.7 0.572467 0.572467 0.286234 -0.572467 -4.9 1.7 0.583915 0.583915 0.291957 -0.583915 -4.8 1.7 0.595353 0.595353 0.297677 -0.595353 -4.7 1.7 0.606773 0.606773 0.303387 -0.606773 -4.6 1.7 0.618165 0.618165 0.309082 -0.618165 -4.5 1.7 0.629519 0.629519 0.314759 -0.629519 -4.4 1.7 0.640824 0.640824 0.320412 -0.640824 -4.3 1.7 0.652072 0.652072 0.326036 -0.652072 -4.2 1.7 0.663252 0.663252 0.331626 -0.663252 -4.1 1.7 0.674354 0.674354 0.337177 -0.674354 -4 1.7 0.685368 0.685368 0.342684 -0.685368 -3.9 1.7 0.696282 0.696282 0.348141 -0.696282 -3.8 1.7 0.707088 0.707088 0.353544 -0.707088 -3.7 1.7 0.717774 0.717774 0.358887 -0.717774 -3.6 1.7 0.728331 0.728331 0.364165 -0.728331 -3.5 1.7 0.738747 0.738747 0.369373 -0.738747 -3.4 1.7 0.749012 0.749012 0.374506 -0.749012 -3.3 1.7 0.759117 0.759117 0.379558 -0.759117 -3.2 1.7 0.769049 0.769049 0.384525 -0.769049 -3.1 1.7 0.778801 0.778801 0.3894 -0.778801 -3 1.7 0.78836 0.78836 0.39418 -0.78836 -2.9 1.7 0.797718 0.797718 0.398859 -0.797718 -2.8 1.7 0.806864 0.806864 0.403432 -0.806864 -2.7 1.7 0.815789 0.815789 0.407894 -0.815789 -2.6 1.7 0.824482 0.824482 0.412241 -0.824482 -2.5 1.7 0.832935 0.832935 0.416467 -0.832935 -2.4 1.7 0.841138 0.841138 0.420569 -0.841138 -2.3 1.7 0.849082 0.849082 0.424541 -0.849082 -2.2 1.7 0.856758 0.856758 0.428379 -0.856758 -2.1 1.7 0.864158 0.864158 0.432079 -0.864158 -2 1.7 0.871273 0.871273 0.435636 -0.871273 -1.9 1.7 0.878095 0.878095 0.439048 -0.878095 -1.8 1.7 0.884617 0.884617 0.442309 -0.884617 -1.7 1.7 0.890831 0.890831 0.445416 -0.890831 -1.6 1.7 0.89673 0.89673 0.448365 -0.89673 -1.5 1.7 0.902307 0.902307 0.451154 -0.902307 -1.4 1.7 0.907556 0.907556 0.453778 -0.907556 -1.3 1.7 0.91247 0.91247 0.456235 -0.91247 -1.2 1.7 0.917044 0.917044 0.458522 -0.917044 -1.1 1.7 0.921272 0.921272 0.460636 -0.921272 -1 1.7 0.925149 0.925149 0.462575 -0.925149 -0.9 1.7 0.928672 0.928672 0.464336 -0.928672 -0.8 1.7 0.931835 0.931835 0.465917 -0.931835 -0.7 1.7 0.934634 0.934634 0.467317 -0.934634 -0.6 1.7 0.937067 0.937067 0.468534 -0.937067 -0.5 1.7 0.939131 0.939131 0.469566 -0.939131 -0.4 1.7 0.940823 0.940823 0.470412 -0.940823 -0.3 1.7 0.942141 0.942141 0.471071 -0.942141 -0.2 1.7 0.943084 0.943084 0.471542 -0.943084 -0.1 1.7 0.94365 0.94365 0.471825 -0.94365 0 1.7 0.943839 0.943839 0.471919 -0.943839 0.1 1.7 0.94365 0.94365 0.471825 -0.94365 0.2 1.7 0.943084 0.943084 0.471542 -0.943084 0.3 1.7 0.942141 0.942141 0.471071 -0.942141 0.4 1.7 0.940823 0.940823 0.470412 -0.940823 0.5 1.7 0.939131 0.939131 0.469566 -0.939131 0.6 1.7 0.937067 0.937067 0.468534 -0.937067 0.7 1.7 0.934634 0.934634 0.467317 -0.934634 0.8 1.7 0.931835 0.931835 0.465917 -0.931835 0.9 1.7 0.928672 0.928672 0.464336 -0.928672 1 1.7 0.925149 0.925149 0.462575 -0.925149 1.1 1.7 0.921272 0.921272 0.460636 -0.921272 1.2 1.7 0.917044 0.917044 0.458522 -0.917044 1.3 1.7 0.91247 0.91247 0.456235 -0.91247 1.4 1.7 0.907556 0.907556 0.453778 -0.907556 1.5 1.7 0.902307 0.902307 0.451154 -0.902307 1.6 1.7 0.89673 0.89673 0.448365 -0.89673 1.7 1.7 0.890831 0.890831 0.445416 -0.890831 1.8 1.7 0.884617 0.884617 0.442309 -0.884617 1.9 1.7 0.878095 0.878095 0.439048 -0.878095 2 1.7 0.871273 0.871273 0.435636 -0.871273 2.1 1.7 0.864158 0.864158 0.432079 -0.864158 2.2 1.7 0.856758 0.856758 0.428379 -0.856758 2.3 1.7 0.849082 0.849082 0.424541 -0.849082 2.4 1.7 0.841138 0.841138 0.420569 -0.841138 2.5 1.7 0.832935 0.832935 0.416467 -0.832935 2.6 1.7 0.824482 0.824482 0.412241 -0.824482 2.7 1.7 0.815789 0.815789 0.407894 -0.815789 2.8 1.7 0.806864 0.806864 0.403432 -0.806864 2.9 1.7 0.797718 0.797718 0.398859 -0.797718 3 1.7 0.78836 0.78836 0.39418 -0.78836 3.1 1.7 0.778801 0.778801 0.3894 -0.778801 3.2 1.7 0.769049 0.769049 0.384525 -0.769049 3.3 1.7 0.759117 0.759117 0.379558 -0.759117 3.4 1.7 0.749012 0.749012 0.374506 -0.749012 3.5 1.7 0.738747 0.738747 0.369373 -0.738747 3.6 1.7 0.728331 0.728331 0.364165 -0.728331 3.7 1.7 0.717774 0.717774 0.358887 -0.717774 3.8 1.7 0.707088 0.707088 0.353544 -0.707088 3.9 1.7 0.696282 0.696282 0.348141 -0.696282 4 1.7 0.685368 0.685368 0.342684 -0.685368 4.1 1.7 0.674354 0.674354 0.337177 -0.674354 4.2 1.7 0.663252 0.663252 0.331626 -0.663252 4.3 1.7 0.652072 0.652072 0.326036 -0.652072 4.4 1.7 0.640824 0.640824 0.320412 -0.640824 4.5 1.7 0.629519 0.629519 0.314759 -0.629519 4.6 1.7 0.618165 0.618165 0.309082 -0.618165 4.7 1.7 0.606773 0.606773 0.303387 -0.606773 4.8 1.7 0.595353 0.595353 0.297677 -0.595353 4.9 1.7 0.583915 0.583915 0.291957 -0.583915 -5 1.8 0.568474 0.568474 0.284237 -0.568474 -4.9 1.8 0.579842 0.579842 0.289921 -0.579842 -4.8 1.8 0.591201 0.591201 0.2956 -0.591201 -4.7 1.8 0.602541 0.602541 0.30127 -0.602541 -4.6 1.8 0.613853 0.613853 0.306926 -0.613853 -4.5 1.8 0.625127 0.625127 0.312564 -0.625127 -4.4 1.8 0.636354 0.636354 0.318177 -0.636354 -4.3 1.8 0.647524 0.647524 0.323762 -0.647524 -4.2 1.8 0.658626 0.658626 0.329313 -0.658626 -4.1 1.8 0.66965 0.66965 0.334825 -0.66965 -4 1.8 0.680587 0.680587 0.340293 -0.680587 -3.9 1.8 0.691425 0.691425 0.345713 -0.691425 -3.8 1.8 0.702156 0.702156 0.351078 -0.702156 -3.7 1.8 0.712767 0.712767 0.356384 -0.712767 -3.6 1.8 0.72325 0.72325 0.361625 -0.72325 -3.5 1.8 0.733594 0.733594 0.366797 -0.733594 -3.4 1.8 0.743787 0.743787 0.371894 -0.743787 -3.3 1.8 0.753821 0.753821 0.376911 -0.753821 -3.2 1.8 0.763685 0.763685 0.381842 -0.763685 -3.1 1.8 0.773368 0.773368 0.386684 -0.773368 -3 1.8 0.782861 0.782861 0.391431 -0.782861 -2.9 1.8 0.792154 0.792154 0.396077 -0.792154 -2.8 1.8 0.801236 0.801236 0.400618 -0.801236 -2.7 1.8 0.810098 0.810098 0.405049 -0.810098 -2.6 1.8 0.818731 0.818731 0.409365 -0.818731 -2.5 1.8 0.827125 0.827125 0.413562 -0.827125 -2.4 1.8 0.83527 0.83527 0.417635 -0.83527 -2.3 1.8 0.843159 0.843159 0.421579 -0.843159 -2.2 1.8 0.850781 0.850781 0.425391 -0.850781 -2.1 1.8 0.85813 0.85813 0.429065 -0.85813 -2 1.8 0.865195 0.865195 0.432598 -0.865195 -1.9 1.8 0.87197 0.87197 0.435985 -0.87197 -1.8 1.8 0.878447 0.878447 0.439223 -0.878447 -1.7 1.8 0.884617 0.884617 0.442309 -0.884617 -1.6 1.8 0.890475 0.890475 0.445238 -0.890475 -1.5 1.8 0.896013 0.896013 0.448007 -0.896013 -1.4 1.8 0.901225 0.901225 0.450613 -0.901225 -1.3 1.8 0.906105 0.906105 0.453053 -0.906105 -1.2 1.8 0.910647 0.910647 0.455323 -0.910647 -1.1 1.8 0.914846 0.914846 0.457423 -0.914846 -1 1.8 0.918696 0.918696 0.459348 -0.918696 -0.9 1.8 0.922194 0.922194 0.461097 -0.922194 -0.8 1.8 0.925334 0.925334 0.462667 -0.925334 -0.7 1.8 0.928115 0.928115 0.464057 -0.928115 -0.6 1.8 0.930531 0.930531 0.465265 -0.930531 -0.5 1.8 0.93258 0.93258 0.46629 -0.93258 -0.4 1.8 0.93426 0.93426 0.46713 -0.93426 -0.3 1.8 0.935569 0.935569 0.467785 -0.935569 -0.2 1.8 0.936505 0.936505 0.468253 -0.936505 -0.1 1.8 0.937067 0.937067 0.468534 -0.937067 0 1.8 0.937255 0.937255 0.468627 -0.937255 0.1 1.8 0.937067 0.937067 0.468534 -0.937067 0.2 1.8 0.936505 0.936505 0.468253 -0.936505 0.3 1.8 0.935569 0.935569 0.467785 -0.935569 0.4 1.8 0.93426 0.93426 0.46713 -0.93426 0.5 1.8 0.93258 0.93258 0.46629 -0.93258 0.6 1.8 0.930531 0.930531 0.465265 -0.930531 0.7 1.8 0.928115 0.928115 0.464057 -0.928115 0.8 1.8 0.925334 0.925334 0.462667 -0.925334 0.9 1.8 0.922194 0.922194 0.461097 -0.922194 1 1.8 0.918696 0.918696 0.459348 -0.918696 1.1 1.8 0.914846 0.914846 0.457423 -0.914846 1.2 1.8 0.910647 0.910647 0.455323 -0.910647 1.3 1.8 0.906105 0.906105 0.453053 -0.906105 1.4 1.8 0.901225 0.901225 0.450613 -0.901225 1.5 1.8 0.896013 0.896013 0.448007 -0.896013 1.6 1.8 0.890475 0.890475 0.445238 -0.890475 1.7 1.8 0.884617 0.884617 0.442309 -0.884617 1.8 1.8 0.878447 0.878447 0.439223 -0.878447 1.9 1.8 0.87197 0.87197 0.435985 -0.87197 2 1.8 0.865195 0.865195 0.432598 -0.865195 2.1 1.8 0.85813 0.85813 0.429065 -0.85813 2.2 1.8 0.850781 0.850781 0.425391 -0.850781 2.3 1.8 0.843159 0.843159 0.421579 -0.843159 2.4 1.8 0.83527 0.83527 0.417635 -0.83527 2.5 1.8 0.827125 0.827125 0.413562 -0.827125 2.6 1.8 0.818731 0.818731 0.409365 -0.818731 2.7 1.8 0.810098 0.810098 0.405049 -0.810098 2.8 1.8 0.801236 0.801236 0.400618 -0.801236 2.9 1.8 0.792154 0.792154 0.396077 -0.792154 3 1.8 0.782861 0.782861 0.391431 -0.782861 3.1 1.8 0.773368 0.773368 0.386684 -0.773368 3.2 1.8 0.763685 0.763685 0.381842 -0.763685 3.3 1.8 0.753821 0.753821 0.376911 -0.753821 3.4 1.8 0.743787 0.743787 0.371894 -0.743787 3.5 1.8 0.733594 0.733594 0.366797 -0.733594 3.6 1.8 0.72325 0.72325 0.361625 -0.72325 3.7 1.8 0.712767 0.712767 0.356384 -0.712767 3.8 1.8 0.702156 0.702156 0.351078 -0.702156 3.9 1.8 0.691425 0.691425 0.345713 -0.691425 4 1.8 0.680587 0.680587 0.340293 -0.680587 4.1 1.8 0.66965 0.66965 0.334825 -0.66965 4.2 1.8 0.658626 0.658626 0.329313 -0.658626 4.3 1.8 0.647524 0.647524 0.323762 -0.647524 4.4 1.8 0.636354 0.636354 0.318177 -0.636354 4.5 1.8 0.625127 0.625127 0.312564 -0.625127 4.6 1.8 0.613853 0.613853 0.306926 -0.613853 4.7 1.8 0.602541 0.602541 0.30127 -0.602541 4.8 1.8 0.591201 0.591201 0.2956 -0.591201 4.9 1.8 0.579842 0.579842 0.289921 -0.579842 -5 1.9 0.564283 0.564283 0.282141 -0.564283 -4.9 1.9 0.575567 0.575567 0.287783 -0.575567 -4.8 1.9 0.586842 0.586842 0.293421 -0.586842 -4.7 1.9 0.598098 0.598098 0.299049 -0.598098 -4.6 1.9 0.609327 0.609327 0.304664 -0.609327 -4.5 1.9 0.620518 0.620518 0.310259 -0.620518 -4.4 1.9 0.631663 0.631663 0.315831 -0.631663 -4.3 1.9 0.64275 0.64275 0.321375 -0.64275 -4.2 1.9 0.65377 0.65377 0.326885 -0.65377 -4.1 1.9 0.664713 0.664713 0.332356 -0.664713 -4 1.9 0.675569 0.675569 0.337784 -0.675569 -3.9 1.9 0.686328 0.686328 0.343164 -0.686328 -3.8 1.9 0.696979 0.696979 0.348489 -0.696979 -3.7 1.9 0.707512 0.707512 0.353756 -0.707512 -3.6 1.9 0.717918 0.717918 0.358959 -0.717918 -3.5 1.9 0.728185 0.728185 0.364093 -0.728185 -3.4 1.9 0.738304 0.738304 0.369152 -0.738304 -3.3 1.9 0.748264 0.748264 0.374132 -0.748264 -3.2 1.9 0.758054 0.758054 0.379027 -0.758054 -3.1 1.9 0.767666 0.767666 0.383833 -0.767666 -3 1.9 0.777089 0.777089 0.388545 -0.777089 -2.9 1.9 0.786313 0.786313 0.393157 -0.786313 -2.8 1.9 0.795329 0.795329 0.397664 -0.795329 -2.7 1.9 0.804125 0.804125 0.402063 -0.804125 -2.6 1.9 0.812695 0.812695 0.406347 -0.812695 -2.5 1.9 0.821026 0.821026 0.410513 -0.821026 -2.4 1.9 0.829112 0.829112 0.414556 -0.829112 -2.3 1.9 0.836942 0.836942 0.418471 -0.836942 -2.2 1.9 0.844509 0.844509 0.422254 -0.844509 -2.1 1.9 0.851803 0.851803 0.425901 -0.851803 -2 1.9 0.858817 0.858817 0.429408 -0.858817 -1.9 1.9 0.865541 0.865541 0.432771 -0.865541 -1.8 1.9 0.87197 0.87197 0.435985 -0.87197 -1.7 1.9 0.878095 0.878095 0.439048 -0.878095 -1.6 1.9 0.88391 0.88391 0.441955 -0.88391 -1.5 1.9 0.889407 0.889407 0.444704 -0.889407 -1.4 1.9 0.894581 0.894581 0.44729 -0.894581 -1.3 1.9 0.899425 0.899425 0.449712 -0.899425 -1.2 1.9 0.903933 0.903933 0.451967 -0.903933 -1.1 1.9 0.908101 0.908101 0.45405 -0.908101 -1 1.9 0.911923 0.911923 0.455961 -0.911923 -0.9 1.9 0.915395 0.915395 0.457697 -0.915395 -0.8 1.9 0.918512 0.918512 0.459256 -0.918512 -0.7 1.9 0.921272 0.921272 0.460636 -0.921272 -0.6 1.9 0.92367 0.92367 0.461835 -0.92367 -0.5 1.9 0.925705 0.925705 0.462852 -0.925705 -0.4 1.9 0.927372 0.927372 0.463686 -0.927372 -0.3 1.9 0.928672 0.928672 0.464336 -0.928672 -0.2 1.9 0.929601 0.929601 0.4648 -0.929601 -0.1 1.9 0.930159 0.930159 0.465079 -0.930159 0 1.9 0.930345 0.930345 0.465172 -0.930345 0.1 1.9 0.930159 0.930159 0.465079 -0.930159 0.2 1.9 0.929601 0.929601 0.4648 -0.929601 0.3 1.9 0.928672 0.928672 0.464336 -0.928672 0.4 1.9 0.927372 0.927372 0.463686 -0.927372 0.5 1.9 0.925705 0.925705 0.462852 -0.925705 0.6 1.9 0.92367 0.92367 0.461835 -0.92367 0.7 1.9 0.921272 0.921272 0.460636 -0.921272 0.8 1.9 0.918512 0.918512 0.459256 -0.918512 0.9 1.9 0.915395 0.915395 0.457697 -0.915395 1 1.9 0.911923 0.911923 0.455961 -0.911923 1.1 1.9 0.908101 0.908101 0.45405 -0.908101 1.2 1.9 0.903933 0.903933 0.451967 -0.903933 1.3 1.9 0.899425 0.899425 0.449712 -0.899425 1.4 1.9 0.894581 0.894581 0.44729 -0.894581 1.5 1.9 0.889407 0.889407 0.444704 -0.889407 1.6 1.9 0.88391 0.88391 0.441955 -0.88391 1.7 1.9 0.878095 0.878095 0.439048 -0.878095 1.8 1.9 0.87197 0.87197 0.435985 -0.87197 1.9 1.9 0.865541 0.865541 0.432771 -0.865541 2 1.9 0.858817 0.858817 0.429408 -0.858817 2.1 1.9 0.851803 0.851803 0.425901 -0.851803 2.2 1.9 0.844509 0.844509 0.422254 -0.844509 2.3 1.9 0.836942 0.836942 0.418471 -0.836942 2.4 1.9 0.829112 0.829112 0.414556 -0.829112 2.5 1.9 0.821026 0.821026 0.410513 -0.821026 2.6 1.9 0.812695 0.812695 0.406347 -0.812695 2.7 1.9 0.804125 0.804125 0.402063 -0.804125 2.8 1.9 0.795329 0.795329 0.397664 -0.795329 2.9 1.9 0.786313 0.786313 0.393157 -0.786313 3 1.9 0.777089 0.777089 0.388545 -0.777089 3.1 1.9 0.767666 0.767666 0.383833 -0.767666 3.2 1.9 0.758054 0.758054 0.379027 -0.758054 3.3 1.9 0.748264 0.748264 0.374132 -0.748264 3.4 1.9 0.738304 0.738304 0.369152 -0.738304 3.5 1.9 0.728185 0.728185 0.364093 -0.728185 3.6 1.9 0.717918 0.717918 0.358959 -0.717918 3.7 1.9 0.707512 0.707512 0.353756 -0.707512 3.8 1.9 0.696979 0.696979 0.348489 -0.696979 3.9 1.9 0.686328 0.686328 0.343164 -0.686328 4 1.9 0.675569 0.675569 0.337784 -0.675569 4.1 1.9 0.664713 0.664713 0.332356 -0.664713 4.2 1.9 0.65377 0.65377 0.326885 -0.65377 4.3 1.9 0.64275 0.64275 0.321375 -0.64275 4.4 1.9 0.631663 0.631663 0.315831 -0.631663 4.5 1.9 0.620518 0.620518 0.310259 -0.620518 4.6 1.9 0.609327 0.609327 0.304664 -0.609327 4.7 1.9 0.598098 0.598098 0.299049 -0.598098 4.8 1.9 0.586842 0.586842 0.293421 -0.586842 4.9 1.9 0.575567 0.575567 0.287783 -0.575567 -5 2 0.559898 0.559898 0.279949 -0.559898 -4.9 2 0.571095 0.571095 0.285547 -0.571095 -4.8 2 0.582282 0.582282 0.291141 -0.582282 -4.7 2 0.593451 0.593451 0.296726 -0.593451 -4.6 2 0.604593 0.604593 0.302296 -0.604593 -4.5 2 0.615697 0.615697 0.307849 -0.615697 -4.4 2 0.626755 0.626755 0.313377 -0.626755 -4.3 2 0.637756 0.637756 0.318878 -0.637756 -4.2 2 0.64869 0.64869 0.324345 -0.64869 -4.1 2 0.659548 0.659548 0.329774 -0.659548 -4 2 0.67032 0.67032 0.33516 -0.67032 -3.9 2 0.680995 0.680995 0.340498 -0.680995 -3.8 2 0.691564 0.691564 0.345782 -0.691564 -3.7 2 0.702015 0.702015 0.351008 -0.702015 -3.6 2 0.71234 0.71234 0.35617 -0.71234 -3.5 2 0.722527 0.722527 0.361264 -0.722527 -3.4 2 0.732567 0.732567 0.366284 -0.732567 -3.3 2 0.74245 0.74245 0.371225 -0.74245 -3.2 2 0.752165 0.752165 0.376082 -0.752165 -3.1 2 0.761702 0.761702 0.380851 -0.761702 -3 2 0.771052 0.771052 0.385526 -0.771052 -2.9 2 0.780204 0.780204 0.390102 -0.780204 -2.8 2 0.789149 0.789149 0.394575 -0.789149 -2.7 2 0.797878 0.797878 0.398939 -0.797878 -2.6 2 0.80638 0.80638 0.40319 -0.80638 -2.5 2 0.814647 0.814647 0.407324 -0.814647 -2.4 2 0.82267 0.82267 0.411335 -0.82267 -2.3 2 0.83044 0.83044 0.41522 -0.83044 -2.2 2 0.837947 0.837947 0.418974 -0.837947 -2.1 2 0.845185 0.845185 0.422592 -0.845185 -2 2 0.852144 0.852144 0.426072 -0.852144 -1.9 2 0.858817 0.858817 0.429408 -0.858817 -1.8 2 0.865195 0.865195 0.432598 -0.865195 -1.7 2 0.871273 0.871273 0.435636 -0.871273 -1.6 2 0.877042 0.877042 0.438521 -0.877042 -1.5 2 0.882497 0.882497 0.441248 -0.882497 -1.4 2 0.88763 0.88763 0.443815 -0.88763 -1.3 2 0.892436 0.892436 0.446218 -0.892436 -1.2 2 0.89691 0.89691 0.448455 -0.89691 -1.1 2 0.901045 0.901045 0.450523 -0.901045 -1 2 0.904837 0.904837 0.452419 -0.904837 -0.9 2 0.908282 0.908282 0.454141 -0.908282 -0.8 2 0.911376 0.911376 0.455688 -0.911376 -0.7 2 0.914114 0.914114 0.457057 -0.914114 -0.6 2 0.916494 0.916494 0.458247 -0.916494 -0.5 2 0.918512 0.918512 0.459256 -0.918512 -0.4 2 0.920167 0.920167 0.460084 -0.920167 -0.3 2 0.921456 0.921456 0.460728 -0.921456 -0.2 2 0.922378 0.922378 0.461189 -0.922378 -0.1 2 0.922932 0.922932 0.461466 -0.922932 0 2 0.923116 0.923116 0.461558 -0.923116 0.1 2 0.922932 0.922932 0.461466 -0.922932 0.2 2 0.922378 0.922378 0.461189 -0.922378 0.3 2 0.921456 0.921456 0.460728 -0.921456 0.4 2 0.920167 0.920167 0.460084 -0.920167 0.5 2 0.918512 0.918512 0.459256 -0.918512 0.6 2 0.916494 0.916494 0.458247 -0.916494 0.7 2 0.914114 0.914114 0.457057 -0.914114 0.8 2 0.911376 0.911376 0.455688 -0.911376 0.9 2 0.908282 0.908282 0.454141 -0.908282 1 2 0.904837 0.904837 0.452419 -0.904837 1.1 2 0.901045 0.901045 0.450523 -0.901045 1.2 2 0.89691 0.89691 0.448455 -0.89691 1.3 2 0.892436 0.892436 0.446218 -0.892436 1.4 2 0.88763 0.88763 0.443815 -0.88763 1.5 2 0.882497 0.882497 0.441248 -0.882497 1.6 2 0.877042 0.877042 0.438521 -0.877042 1.7 2 0.871273 0.871273 0.435636 -0.871273 1.8 2 0.865195 0.865195 0.432598 -0.865195 1.9 2 0.858817 0.858817 0.429408 -0.858817 2 2 0.852144 0.852144 0.426072 -0.852144 2.1 2 0.845185 0.845185 0.422592 -0.845185 2.2 2 0.837947 0.837947 0.418974 -0.837947 2.3 2 0.83044 0.83044 0.41522 -0.83044 2.4 2 0.82267 0.82267 0.411335 -0.82267 2.5 2 0.814647 0.814647 0.407324 -0.814647 2.6 2 0.80638 0.80638 0.40319 -0.80638 2.7 2 0.797878 0.797878 0.398939 -0.797878 2.8 2 0.789149 0.789149 0.394575 -0.789149 2.9 2 0.780204 0.780204 0.390102 -0.780204 3 2 0.771052 0.771052 0.385526 -0.771052 3.1 2 0.761702 0.761702 0.380851 -0.761702 3.2 2 0.752165 0.752165 0.376082 -0.752165 3.3 2 0.74245 0.74245 0.371225 -0.74245 3.4 2 0.732567 0.732567 0.366284 -0.732567 3.5 2 0.722527 0.722527 0.361264 -0.722527 3.6 2 0.71234 0.71234 0.35617 -0.71234 3.7 2 0.702015 0.702015 0.351008 -0.702015 3.8 2 0.691564 0.691564 0.345782 -0.691564 3.9 2 0.680995 0.680995 0.340498 -0.680995 4 2 0.67032 0.67032 0.33516 -0.67032 4.1 2 0.659548 0.659548 0.329774 -0.659548 4.2 2 0.64869 0.64869 0.324345 -0.64869 4.3 2 0.637756 0.637756 0.318878 -0.637756 4.4 2 0.626755 0.626755 0.313377 -0.626755 4.5 2 0.615697 0.615697 0.307849 -0.615697 4.6 2 0.604593 0.604593 0.302296 -0.604593 4.7 2 0.593451 0.593451 0.296726 -0.593451 4.8 2 0.582282 0.582282 0.291141 -0.582282 4.9 2 0.571095 0.571095 0.285547 -0.571095 -5 2.1 0.555326 0.555326 0.277663 -0.555326 -4.9 2.1 0.566431 0.566431 0.283216 -0.566431 -4.8 2.1 0.577527 0.577527 0.288764 -0.577527 -4.7 2.1 0.588605 0.588605 0.294302 -0.588605 -4.6 2.1 0.599655 0.599655 0.299828 -0.599655 -4.5 2.1 0.610669 0.610669 0.305335 -0.610669 -4.4 2.1 0.621636 0.621636 0.310818 -0.621636 -4.3 2.1 0.632547 0.632547 0.316274 -0.632547 -4.2 2.1 0.643393 0.643393 0.321696 -0.643393 -4.1 2.1 0.654162 0.654162 0.327081 -0.654162 -4 2.1 0.664846 0.664846 0.332423 -0.664846 -3.9 2.1 0.675434 0.675434 0.337717 -0.675434 -3.8 2.1 0.685916 0.685916 0.342958 -0.685916 -3.7 2.1 0.696282 0.696282 0.348141 -0.696282 -3.6 2.1 0.706523 0.706523 0.353261 -0.706523 -3.5 2.1 0.716627 0.716627 0.358313 -0.716627 -3.4 2.1 0.726585 0.726585 0.363292 -0.726585 -3.3 2.1 0.736387 0.736387 0.368193 -0.736387 -3.2 2.1 0.746022 0.746022 0.373011 -0.746022 -3.1 2.1 0.755481 0.755481 0.377741 -0.755481 -3 2.1 0.764755 0.764755 0.382377 -0.764755 -2.9 2.1 0.773832 0.773832 0.386916 -0.773832 -2.8 2.1 0.782705 0.782705 0.391352 -0.782705 -2.7 2.1 0.791362 0.791362 0.395681 -0.791362 -2.6 2.1 0.799795 0.799795 0.399897 -0.799795 -2.5 2.1 0.807995 0.807995 0.403997 -0.807995 -2.4 2.1 0.815952 0.815952 0.407976 -0.815952 -2.3 2.1 0.823658 0.823658 0.411829 -0.823658 -2.2 2.1 0.831104 0.831104 0.415552 -0.831104 -2.1 2.1 0.838283 0.838283 0.419141 -0.838283 -2 2.1 0.845185 0.845185 0.422592 -0.845185 -1.9 2.1 0.851803 0.851803 0.425901 -0.851803 -1.8 2.1 0.85813 0.85813 0.429065 -0.85813 -1.7 2.1 0.864158 0.864158 0.432079 -0.864158 -1.6 2.1 0.86988 0.86988 0.43494 -0.86988 -1.5 2.1 0.87529 0.87529 0.437645 -0.87529 -1.4 2.1 0.880381 0.880381 0.440191 -0.880381 -1.3 2.1 0.885148 0.885148 0.442574 -0.885148 -1.2 2.1 0.889585 0.889585 0.444793 -0.889585 -1.1 2.1 0.893687 0.893687 0.446843 -0.893687 -1 2.1 0.897448 0.897448 0.448724 -0.897448 -0.9 2.1 0.900865 0.900865 0.450432 -0.900865 -0.8 2.1 0.903933 0.903933 0.451967 -0.903933 -0.7 2.1 0.906649 0.906649 0.453324 -0.906649 -0.6 2.1 0.909009 0.909009 0.454505 -0.909009 -0.5 2.1 0.911011 0.911011 0.455506 -0.911011 -0.4 2.1 0.912653 0.912653 0.456326 -0.912653 -0.3 2.1 0.913931 0.913931 0.456966 -0.913931 -0.2 2.1 0.914846 0.914846 0.457423 -0.914846 -0.1 2.1 0.915395 0.915395 0.457697 -0.915395 0 2.1 0.915578 0.915578 0.457789 -0.915578 0.1 2.1 0.915395 0.915395 0.457697 -0.915395 0.2 2.1 0.914846 0.914846 0.457423 -0.914846 0.3 2.1 0.913931 0.913931 0.456966 -0.913931 0.4 2.1 0.912653 0.912653 0.456326 -0.912653 0.5 2.1 0.911011 0.911011 0.455506 -0.911011 0.6 2.1 0.909009 0.909009 0.454505 -0.909009 0.7 2.1 0.906649 0.906649 0.453324 -0.906649 0.8 2.1 0.903933 0.903933 0.451967 -0.903933 0.9 2.1 0.900865 0.900865 0.450432 -0.900865 1 2.1 0.897448 0.897448 0.448724 -0.897448 1.1 2.1 0.893687 0.893687 0.446843 -0.893687 1.2 2.1 0.889585 0.889585 0.444793 -0.889585 1.3 2.1 0.885148 0.885148 0.442574 -0.885148 1.4 2.1 0.880381 0.880381 0.440191 -0.880381 1.5 2.1 0.87529 0.87529 0.437645 -0.87529 1.6 2.1 0.86988 0.86988 0.43494 -0.86988 1.7 2.1 0.864158 0.864158 0.432079 -0.864158 1.8 2.1 0.85813 0.85813 0.429065 -0.85813 1.9 2.1 0.851803 0.851803 0.425901 -0.851803 2 2.1 0.845185 0.845185 0.422592 -0.845185 2.1 2.1 0.838283 0.838283 0.419141 -0.838283 2.2 2.1 0.831104 0.831104 0.415552 -0.831104 2.3 2.1 0.823658 0.823658 0.411829 -0.823658 2.4 2.1 0.815952 0.815952 0.407976 -0.815952 2.5 2.1 0.807995 0.807995 0.403997 -0.807995 2.6 2.1 0.799795 0.799795 0.399897 -0.799795 2.7 2.1 0.791362 0.791362 0.395681 -0.791362 2.8 2.1 0.782705 0.782705 0.391352 -0.782705 2.9 2.1 0.773832 0.773832 0.386916 -0.773832 3 2.1 0.764755 0.764755 0.382377 -0.764755 3.1 2.1 0.755481 0.755481 0.377741 -0.755481 3.2 2.1 0.746022 0.746022 0.373011 -0.746022 3.3 2.1 0.736387 0.736387 0.368193 -0.736387 3.4 2.1 0.726585 0.726585 0.363292 -0.726585 3.5 2.1 0.716627 0.716627 0.358313 -0.716627 3.6 2.1 0.706523 0.706523 0.353261 -0.706523 3.7 2.1 0.696282 0.696282 0.348141 -0.696282 3.8 2.1 0.685916 0.685916 0.342958 -0.685916 3.9 2.1 0.675434 0.675434 0.337717 -0.675434 4 2.1 0.664846 0.664846 0.332423 -0.664846 4.1 2.1 0.654162 0.654162 0.327081 -0.654162 4.2 2.1 0.643393 0.643393 0.321696 -0.643393 4.3 2.1 0.632547 0.632547 0.316274 -0.632547 4.4 2.1 0.621636 0.621636 0.310818 -0.621636 4.5 2.1 0.610669 0.610669 0.305335 -0.610669 4.6 2.1 0.599655 0.599655 0.299828 -0.599655 4.7 2.1 0.588605 0.588605 0.294302 -0.588605 4.8 2.1 0.577527 0.577527 0.288764 -0.577527 4.9 2.1 0.566431 0.566431 0.283216 -0.566431 -5 2.2 0.550571 0.550571 0.275285 -0.550571 -4.9 2.2 0.561581 0.561581 0.28079 -0.561581 -4.8 2.2 0.572582 0.572582 0.286291 -0.572582 -4.7 2.2 0.583565 0.583565 0.291782 -0.583565 -4.6 2.2 0.594521 0.594521 0.29726 -0.594521 -4.5 2.2 0.60544 0.60544 0.30272 -0.60544 -4.4 2.2 0.616313 0.616313 0.308157 -0.616313 -4.3 2.2 0.627131 0.627131 0.313565 -0.627131 -4.2 2.2 0.637883 0.637883 0.318942 -0.637883 -4.1 2.2 0.64856 0.64856 0.32428 -0.64856 -4 2.2 0.659153 0.659153 0.329576 -0.659153 -3.9 2.2 0.66965 0.66965 0.334825 -0.66965 -3.8 2.2 0.680042 0.680042 0.340021 -0.680042 -3.7 2.2 0.69032 0.69032 0.34516 -0.69032 -3.6 2.2 0.700473 0.700473 0.350236 -0.700473 -3.5 2.2 0.71049 0.71049 0.355245 -0.71049 -3.4 2.2 0.720363 0.720363 0.360182 -0.720363 -3.3 2.2 0.730081 0.730081 0.36504 -0.730081 -3.2 2.2 0.739634 0.739634 0.369817 -0.739634 -3.1 2.2 0.749012 0.749012 0.374506 -0.749012 -3 2.2 0.758206 0.758206 0.379103 -0.758206 -2.9 2.2 0.767206 0.767206 0.383603 -0.767206 -2.8 2.2 0.776002 0.776002 0.388001 -0.776002 -2.7 2.2 0.784585 0.784585 0.392293 -0.784585 -2.6 2.2 0.792946 0.792946 0.396473 -0.792946 -2.5 2.2 0.801076 0.801076 0.400538 -0.801076 -2.4 2.2 0.808965 0.808965 0.404482 -0.808965 -2.3 2.2 0.816605 0.816605 0.408302 -0.816605 -2.2 2.2 0.823987 0.823987 0.411994 -0.823987 -2.1 2.2 0.831104 0.831104 0.415552 -0.831104 -2 2.2 0.837947 0.837947 0.418974 -0.837947 -1.9 2.2 0.844509 0.844509 0.422254 -0.844509 -1.8 2.2 0.850781 0.850781 0.425391 -0.850781 -1.7 2.2 0.856758 0.856758 0.428379 -0.856758 -1.6 2.2 0.862431 0.862431 0.431216 -0.862431 -1.5 2.2 0.867795 0.867795 0.433897 -0.867795 -1.4 2.2 0.872843 0.872843 0.436421 -0.872843 -1.3 2.2 0.877569 0.877569 0.438784 -0.877569 -1.2 2.2 0.881968 0.881968 0.440984 -0.881968 -1.1 2.2 0.886034 0.886034 0.443017 -0.886034 -1 2.2 0.889763 0.889763 0.444882 -0.889763 -0.9 2.2 0.893151 0.893151 0.446575 -0.893151 -0.8 2.2 0.896193 0.896193 0.448096 -0.896193 -0.7 2.2 0.898885 0.898885 0.449443 -0.898885 -0.6 2.2 0.901225 0.901225 0.450613 -0.901225 -0.5 2.2 0.90321 0.90321 0.451605 -0.90321 -0.4 2.2 0.904837 0.904837 0.452419 -0.904837 -0.3 2.2 0.906105 0.906105 0.453053 -0.906105 -0.2 2.2 0.907012 0.907012 0.453506 -0.907012 -0.1 2.2 0.907556 0.907556 0.453778 -0.907556 0 2.2 0.907738 0.907738 0.453869 -0.907738 0.1 2.2 0.907556 0.907556 0.453778 -0.907556 0.2 2.2 0.907012 0.907012 0.453506 -0.907012 0.3 2.2 0.906105 0.906105 0.453053 -0.906105 0.4 2.2 0.904837 0.904837 0.452419 -0.904837 0.5 2.2 0.90321 0.90321 0.451605 -0.90321 0.6 2.2 0.901225 0.901225 0.450613 -0.901225 0.7 2.2 0.898885 0.898885 0.449443 -0.898885 0.8 2.2 0.896193 0.896193 0.448096 -0.896193 0.9 2.2 0.893151 0.893151 0.446575 -0.893151 1 2.2 0.889763 0.889763 0.444882 -0.889763 1.1 2.2 0.886034 0.886034 0.443017 -0.886034 1.2 2.2 0.881968 0.881968 0.440984 -0.881968 1.3 2.2 0.877569 0.877569 0.438784 -0.877569 1.4 2.2 0.872843 0.872843 0.436421 -0.872843 1.5 2.2 0.867795 0.867795 0.433897 -0.867795 1.6 2.2 0.862431 0.862431 0.431216 -0.862431 1.7 2.2 0.856758 0.856758 0.428379 -0.856758 1.8 2.2 0.850781 0.850781 0.425391 -0.850781 1.9 2.2 0.844509 0.844509 0.422254 -0.844509 2 2.2 0.837947 0.837947 0.418974 -0.837947 2.1 2.2 0.831104 0.831104 0.415552 -0.831104 2.2 2.2 0.823987 0.823987 0.411994 -0.823987 2.3 2.2 0.816605 0.816605 0.408302 -0.816605 2.4 2.2 0.808965 0.808965 0.404482 -0.808965 2.5 2.2 0.801076 0.801076 0.400538 -0.801076 2.6 2.2 0.792946 0.792946 0.396473 -0.792946 2.7 2.2 0.784585 0.784585 0.392293 -0.784585 2.8 2.2 0.776002 0.776002 0.388001 -0.776002 2.9 2.2 0.767206 0.767206 0.383603 -0.767206 3 2.2 0.758206 0.758206 0.379103 -0.758206 3.1 2.2 0.749012 0.749012 0.374506 -0.749012 3.2 2.2 0.739634 0.739634 0.369817 -0.739634 3.3 2.2 0.730081 0.730081 0.36504 -0.730081 3.4 2.2 0.720363 0.720363 0.360182 -0.720363 3.5 2.2 0.71049 0.71049 0.355245 -0.71049 3.6 2.2 0.700473 0.700473 0.350236 -0.700473 3.7 2.2 0.69032 0.69032 0.34516 -0.69032 3.8 2.2 0.680042 0.680042 0.340021 -0.680042 3.9 2.2 0.66965 0.66965 0.334825 -0.66965 4 2.2 0.659153 0.659153 0.329576 -0.659153 4.1 2.2 0.64856 0.64856 0.32428 -0.64856 4.2 2.2 0.637883 0.637883 0.318942 -0.637883 4.3 2.2 0.627131 0.627131 0.313565 -0.627131 4.4 2.2 0.616313 0.616313 0.308157 -0.616313 4.5 2.2 0.60544 0.60544 0.30272 -0.60544 4.6 2.2 0.594521 0.594521 0.29726 -0.594521 4.7 2.2 0.583565 0.583565 0.291782 -0.583565 4.8 2.2 0.572582 0.572582 0.286291 -0.572582 4.9 2.2 0.561581 0.561581 0.28079 -0.561581 -5 2.3 0.545638 0.545638 0.272819 -0.545638 -4.9 2.3 0.556549 0.556549 0.278275 -0.556549 -4.8 2.3 0.567451 0.567451 0.283726 -0.567451 -4.7 2.3 0.578336 0.578336 0.289168 -0.578336 -4.6 2.3 0.589194 0.589194 0.294597 -0.589194 -4.5 2.3 0.600015 0.600015 0.300008 -0.600015 -4.4 2.3 0.610791 0.610791 0.305396 -0.610791 -4.3 2.3 0.621512 0.621512 0.310756 -0.621512 -4.2 2.3 0.632168 0.632168 0.316084 -0.632168 -4.1 2.3 0.64275 0.64275 0.321375 -0.64275 -4 2.3 0.653247 0.653247 0.326623 -0.653247 -3.9 2.3 0.66365 0.66365 0.331825 -0.66365 -3.8 2.3 0.67395 0.67395 0.336975 -0.67395 -3.7 2.3 0.684135 0.684135 0.342068 -0.684135 -3.6 2.3 0.694197 0.694197 0.347098 -0.694197 -3.5 2.3 0.704125 0.704125 0.352062 -0.704125 -3.4 2.3 0.713909 0.713909 0.356954 -0.713909 -3.3 2.3 0.72354 0.72354 0.36177 -0.72354 -3.2 2.3 0.733007 0.733007 0.366504 -0.733007 -3.1 2.3 0.742301 0.742301 0.371151 -0.742301 -3 2.3 0.751413 0.751413 0.375706 -0.751413 -2.9 2.3 0.760332 0.760332 0.380166 -0.760332 -2.8 2.3 0.769049 0.769049 0.384525 -0.769049 -2.7 2.3 0.777556 0.777556 0.388778 -0.777556 -2.6 2.3 0.785842 0.785842 0.392921 -0.785842 -2.5 2.3 0.793898 0.793898 0.396949 -0.793898 -2.4 2.3 0.801717 0.801717 0.400858 -0.801717 -2.3 2.3 0.809288 0.809288 0.404644 -0.809288 -2.2 2.3 0.816605 0.816605 0.408302 -0.816605 -2.1 2.3 0.823658 0.823658 0.411829 -0.823658 -2 2.3 0.83044 0.83044 0.41522 -0.83044 -1.9 2.3 0.836942 0.836942 0.418471 -0.836942 -1.8 2.3 0.843159 0.843159 0.421579 -0.843159 -1.7 2.3 0.849082 0.849082 0.424541 -0.849082 -1.6 2.3 0.854704 0.854704 0.427352 -0.854704 -1.5 2.3 0.86002 0.86002 0.43001 -0.86002 -1.4 2.3 0.865022 0.865022 0.432511 -0.865022 -1.3 2.3 0.869706 0.869706 0.434853 -0.869706 -1.2 2.3 0.874065 0.874065 0.437033 -0.874065 -1.1 2.3 0.878095 0.878095 0.439048 -0.878095 -1 2.3 0.881791 0.881791 0.440896 -0.881791 -0.9 2.3 0.885148 0.885148 0.442574 -0.885148 -0.8 2.3 0.888163 0.888163 0.444081 -0.888163 -0.7 2.3 0.890831 0.890831 0.445416 -0.890831 -0.6 2.3 0.893151 0.893151 0.446575 -0.893151 -0.5 2.3 0.895118 0.895118 0.447559 -0.895118 -0.4 2.3 0.89673 0.89673 0.448365 -0.89673 -0.3 2.3 0.897987 0.897987 0.448993 -0.897987 -0.2 2.3 0.898885 0.898885 0.449443 -0.898885 -0.1 2.3 0.899425 0.899425 0.449712 -0.899425 0 2.3 0.899605 0.899605 0.449802 -0.899605 0.1 2.3 0.899425 0.899425 0.449712 -0.899425 0.2 2.3 0.898885 0.898885 0.449443 -0.898885 0.3 2.3 0.897987 0.897987 0.448993 -0.897987 0.4 2.3 0.89673 0.89673 0.448365 -0.89673 0.5 2.3 0.895118 0.895118 0.447559 -0.895118 0.6 2.3 0.893151 0.893151 0.446575 -0.893151 0.7 2.3 0.890831 0.890831 0.445416 -0.890831 0.8 2.3 0.888163 0.888163 0.444081 -0.888163 0.9 2.3 0.885148 0.885148 0.442574 -0.885148 1 2.3 0.881791 0.881791 0.440896 -0.881791 1.1 2.3 0.878095 0.878095 0.439048 -0.878095 1.2 2.3 0.874065 0.874065 0.437033 -0.874065 1.3 2.3 0.869706 0.869706 0.434853 -0.869706 1.4 2.3 0.865022 0.865022 0.432511 -0.865022 1.5 2.3 0.86002 0.86002 0.43001 -0.86002 1.6 2.3 0.854704 0.854704 0.427352 -0.854704 1.7 2.3 0.849082 0.849082 0.424541 -0.849082 1.8 2.3 0.843159 0.843159 0.421579 -0.843159 1.9 2.3 0.836942 0.836942 0.418471 -0.836942 2 2.3 0.83044 0.83044 0.41522 -0.83044 2.1 2.3 0.823658 0.823658 0.411829 -0.823658 2.2 2.3 0.816605 0.816605 0.408302 -0.816605 2.3 2.3 0.809288 0.809288 0.404644 -0.809288 2.4 2.3 0.801717 0.801717 0.400858 -0.801717 2.5 2.3 0.793898 0.793898 0.396949 -0.793898 2.6 2.3 0.785842 0.785842 0.392921 -0.785842 2.7 2.3 0.777556 0.777556 0.388778 -0.777556 2.8 2.3 0.769049 0.769049 0.384525 -0.769049 2.9 2.3 0.760332 0.760332 0.380166 -0.760332 3 2.3 0.751413 0.751413 0.375706 -0.751413 3.1 2.3 0.742301 0.742301 0.371151 -0.742301 3.2 2.3 0.733007 0.733007 0.366504 -0.733007 3.3 2.3 0.72354 0.72354 0.36177 -0.72354 3.4 2.3 0.713909 0.713909 0.356954 -0.713909 3.5 2.3 0.704125 0.704125 0.352062 -0.704125 3.6 2.3 0.694197 0.694197 0.347098 -0.694197 3.7 2.3 0.684135 0.684135 0.342068 -0.684135 3.8 2.3 0.67395 0.67395 0.336975 -0.67395 3.9 2.3 0.66365 0.66365 0.331825 -0.66365 4 2.3 0.653247 0.653247 0.326623 -0.653247 4.1 2.3 0.64275 0.64275 0.321375 -0.64275 4.2 2.3 0.632168 0.632168 0.316084 -0.632168 4.3 2.3 0.621512 0.621512 0.310756 -0.621512 4.4 2.3 0.610791 0.610791 0.305396 -0.610791 4.5 2.3 0.600015 0.600015 0.300008 -0.600015 4.6 2.3 0.589194 0.589194 0.294597 -0.589194 4.7 2.3 0.578336 0.578336 0.289168 -0.578336 4.8 2.3 0.567451 0.567451 0.283726 -0.567451 4.9 2.3 0.556549 0.556549 0.278275 -0.556549 -5 2.4 0.540533 0.540533 0.270266 -0.540533 -4.9 2.4 0.551342 0.551342 0.275671 -0.551342 -4.8 2.4 0.562142 0.562142 0.281071 -0.562142 -4.7 2.4 0.572925 0.572925 0.286463 -0.572925 -4.6 2.4 0.583681 0.583681 0.291841 -0.583681 -4.5 2.4 0.594402 0.594402 0.297201 -0.594402 -4.4 2.4 0.605077 0.605077 0.302538 -0.605077 -4.3 2.4 0.615697 0.615697 0.307849 -0.615697 -4.2 2.4 0.626254 0.626254 0.313127 -0.626254 -4.1 2.4 0.636736 0.636736 0.318368 -0.636736 -4 2.4 0.647135 0.647135 0.323568 -0.647135 -3.9 2.4 0.657441 0.657441 0.328721 -0.657441 -3.8 2.4 0.667644 0.667644 0.333822 -0.667644 -3.7 2.4 0.677734 0.677734 0.338867 -0.677734 -3.6 2.4 0.687702 0.687702 0.343851 -0.687702 -3.5 2.4 0.697537 0.697537 0.348768 -0.697537 -3.4 2.4 0.70723 0.70723 0.353615 -0.70723 -3.3 2.4 0.71677 0.71677 0.358385 -0.71677 -3.2 2.4 0.726149 0.726149 0.363075 -0.726149 -3.1 2.4 0.735356 0.735356 0.367678 -0.735356 -3 2.4 0.744383 0.744383 0.372191 -0.744383 -2.9 2.4 0.753218 0.753218 0.376609 -0.753218 -2.8 2.4 0.761854 0.761854 0.380927 -0.761854 -2.7 2.4 0.770281 0.770281 0.38514 -0.770281 -2.6 2.4 0.778489 0.778489 0.389245 -0.778489 -2.5 2.4 0.786471 0.786471 0.393235 -0.786471 -2.4 2.4 0.794216 0.794216 0.397108 -0.794216 -2.3 2.4 0.801717 0.801717 0.400858 -0.801717 -2.2 2.4 0.808965 0.808965 0.404482 -0.808965 -2.1 2.4 0.815952 0.815952 0.407976 -0.815952 -2 2.4 0.82267 0.82267 0.411335 -0.82267 -1.9 2.4 0.829112 0.829112 0.414556 -0.829112 -1.8 2.4 0.83527 0.83527 0.417635 -0.83527 -1.7 2.4 0.841138 0.841138 0.420569 -0.841138 -1.6 2.4 0.846707 0.846707 0.423354 -0.846707 -1.5 2.4 0.851973 0.851973 0.425987 -0.851973 -1.4 2.4 0.856929 0.856929 0.428465 -0.856929 -1.3 2.4 0.861569 0.861569 0.430785 -0.861569 -1.2 2.4 0.865888 0.865888 0.432944 -0.865888 -1.1 2.4 0.86988 0.86988 0.43494 -0.86988 -1 2.4 0.873541 0.873541 0.436771 -0.873541 -0.9 2.4 0.876867 0.876867 0.438433 -0.876867 -0.8 2.4 0.879853 0.879853 0.439927 -0.879853 -0.7 2.4 0.882497 0.882497 0.441248 -0.882497 -0.6 2.4 0.884794 0.884794 0.442397 -0.884794 -0.5 2.4 0.886743 0.886743 0.443372 -0.886743 -0.4 2.4 0.888341 0.888341 0.44417 -0.888341 -0.3 2.4 0.889585 0.889585 0.444793 -0.889585 -0.2 2.4 0.890475 0.890475 0.445238 -0.890475 -0.1 2.4 0.89101 0.89101 0.445505 -0.89101 0 2.4 0.891188 0.891188 0.445594 -0.891188 0.1 2.4 0.89101 0.89101 0.445505 -0.89101 0.2 2.4 0.890475 0.890475 0.445238 -0.890475 0.3 2.4 0.889585 0.889585 0.444793 -0.889585 0.4 2.4 0.888341 0.888341 0.44417 -0.888341 0.5 2.4 0.886743 0.886743 0.443372 -0.886743 0.6 2.4 0.884794 0.884794 0.442397 -0.884794 0.7 2.4 0.882497 0.882497 0.441248 -0.882497 0.8 2.4 0.879853 0.879853 0.439927 -0.879853 0.9 2.4 0.876867 0.876867 0.438433 -0.876867 1 2.4 0.873541 0.873541 0.436771 -0.873541 1.1 2.4 0.86988 0.86988 0.43494 -0.86988 1.2 2.4 0.865888 0.865888 0.432944 -0.865888 1.3 2.4 0.861569 0.861569 0.430785 -0.861569 1.4 2.4 0.856929 0.856929 0.428465 -0.856929 1.5 2.4 0.851973 0.851973 0.425987 -0.851973 1.6 2.4 0.846707 0.846707 0.423354 -0.846707 1.7 2.4 0.841138 0.841138 0.420569 -0.841138 1.8 2.4 0.83527 0.83527 0.417635 -0.83527 1.9 2.4 0.829112 0.829112 0.414556 -0.829112 2 2.4 0.82267 0.82267 0.411335 -0.82267 2.1 2.4 0.815952 0.815952 0.407976 -0.815952 2.2 2.4 0.808965 0.808965 0.404482 -0.808965 2.3 2.4 0.801717 0.801717 0.400858 -0.801717 2.4 2.4 0.794216 0.794216 0.397108 -0.794216 2.5 2.4 0.786471 0.786471 0.393235 -0.786471 2.6 2.4 0.778489 0.778489 0.389245 -0.778489 2.7 2.4 0.770281 0.770281 0.38514 -0.770281 2.8 2.4 0.761854 0.761854 0.380927 -0.761854 2.9 2.4 0.753218 0.753218 0.376609 -0.753218 3 2.4 0.744383 0.744383 0.372191 -0.744383 3.1 2.4 0.735356 0.735356 0.367678 -0.735356 3.2 2.4 0.726149 0.726149 0.363075 -0.726149 3.3 2.4 0.71677 0.71677 0.358385 -0.71677 3.4 2.4 0.70723 0.70723 0.353615 -0.70723 3.5 2.4 0.697537 0.697537 0.348768 -0.697537 3.6 2.4 0.687702 0.687702 0.343851 -0.687702 3.7 2.4 0.677734 0.677734 0.338867 -0.677734 3.8 2.4 0.667644 0.667644 0.333822 -0.667644 3.9 2.4 0.657441 0.657441 0.328721 -0.657441 4 2.4 0.647135 0.647135 0.323568 -0.647135 4.1 2.4 0.636736 0.636736 0.318368 -0.636736 4.2 2.4 0.626254 0.626254 0.313127 -0.626254 4.3 2.4 0.615697 0.615697 0.307849 -0.615697 4.4 2.4 0.605077 0.605077 0.302538 -0.605077 4.5 2.4 0.594402 0.594402 0.297201 -0.594402 4.6 2.4 0.583681 0.583681 0.291841 -0.583681 4.7 2.4 0.572925 0.572925 0.286463 -0.572925 4.8 2.4 0.562142 0.562142 0.281071 -0.562142 4.9 2.4 0.551342 0.551342 0.275671 -0.551342 -5 2.5 0.535261 0.535261 0.267631 -0.535261 -4.9 2.5 0.545965 0.545965 0.272983 -0.545965 -4.8 2.5 0.55666 0.55666 0.27833 -0.55666 -4.7 2.5 0.567338 0.567338 0.283669 -0.567338 -4.6 2.5 0.577989 0.577989 0.288995 -0.577989 -4.5 2.5 0.588605 0.588605 0.294302 -0.588605 -4.4 2.5 0.599176 0.599176 0.299588 -0.599176 -4.3 2.5 0.609693 0.609693 0.304846 -0.609693 -4.2 2.5 0.620146 0.620146 0.310073 -0.620146 -4.1 2.5 0.630527 0.630527 0.315263 -0.630527 -4 2.5 0.640824 0.640824 0.320412 -0.640824 -3.9 2.5 0.65103 0.65103 0.325515 -0.65103 -3.8 2.5 0.661133 0.661133 0.330567 -0.661133 -3.7 2.5 0.671125 0.671125 0.335562 -0.671125 -3.6 2.5 0.680995 0.680995 0.340498 -0.680995 -3.5 2.5 0.690734 0.690734 0.345367 -0.690734 -3.4 2.5 0.700333 0.700333 0.350166 -0.700333 -3.3 2.5 0.70978 0.70978 0.35489 -0.70978 -3.2 2.5 0.719068 0.719068 0.359534 -0.719068 -3.1 2.5 0.728185 0.728185 0.364093 -0.728185 -3 2.5 0.737123 0.737123 0.368562 -0.737123 -2.9 2.5 0.745873 0.745873 0.372936 -0.745873 -2.8 2.5 0.754425 0.754425 0.377212 -0.754425 -2.7 2.5 0.762769 0.762769 0.381385 -0.762769 -2.6 2.5 0.770897 0.770897 0.385449 -0.770897 -2.5 2.5 0.778801 0.778801 0.3894 -0.778801 -2.4 2.5 0.786471 0.786471 0.393235 -0.786471 -2.3 2.5 0.793898 0.793898 0.396949 -0.793898 -2.2 2.5 0.801076 0.801076 0.400538 -0.801076 -2.1 2.5 0.807995 0.807995 0.403997 -0.807995 -2 2.5 0.814647 0.814647 0.407324 -0.814647 -1.9 2.5 0.821026 0.821026 0.410513 -0.821026 -1.8 2.5 0.827125 0.827125 0.413562 -0.827125 -1.7 2.5 0.832935 0.832935 0.416467 -0.832935 -1.6 2.5 0.83845 0.83845 0.419225 -0.83845 -1.5 2.5 0.843665 0.843665 0.421832 -0.843665 -1.4 2.5 0.848572 0.848572 0.424286 -0.848572 -1.3 2.5 0.853167 0.853167 0.426583 -0.853167 -1.2 2.5 0.857443 0.857443 0.428722 -0.857443 -1.1 2.5 0.861397 0.861397 0.430698 -0.861397 -1 2.5 0.865022 0.865022 0.432511 -0.865022 -0.9 2.5 0.868316 0.868316 0.434158 -0.868316 -0.8 2.5 0.871273 0.871273 0.435636 -0.871273 -0.7 2.5 0.873891 0.873891 0.436945 -0.873891 -0.6 2.5 0.876166 0.876166 0.438083 -0.876166 -0.5 2.5 0.878095 0.878095 0.439048 -0.878095 -0.4 2.5 0.879677 0.879677 0.439839 -0.879677 -0.3 2.5 0.88091 0.88091 0.440455 -0.88091 -0.2 2.5 0.881791 0.881791 0.440896 -0.881791 -0.1 2.5 0.88232 0.88232 0.44116 -0.88232 0 2.5 0.882497 0.882497 0.441248 -0.882497 0.1 2.5 0.88232 0.88232 0.44116 -0.88232 0.2 2.5 0.881791 0.881791 0.440896 -0.881791 0.3 2.5 0.88091 0.88091 0.440455 -0.88091 0.4 2.5 0.879677 0.879677 0.439839 -0.879677 0.5 2.5 0.878095 0.878095 0.439048 -0.878095 0.6 2.5 0.876166 0.876166 0.438083 -0.876166 0.7 2.5 0.873891 0.873891 0.436945 -0.873891 0.8 2.5 0.871273 0.871273 0.435636 -0.871273 0.9 2.5 0.868316 0.868316 0.434158 -0.868316 1 2.5 0.865022 0.865022 0.432511 -0.865022 1.1 2.5 0.861397 0.861397 0.430698 -0.861397 1.2 2.5 0.857443 0.857443 0.428722 -0.857443 1.3 2.5 0.853167 0.853167 0.426583 -0.853167 1.4 2.5 0.848572 0.848572 0.424286 -0.848572 1.5 2.5 0.843665 0.843665 0.421832 -0.843665 1.6 2.5 0.83845 0.83845 0.419225 -0.83845 1.7 2.5 0.832935 0.832935 0.416467 -0.832935 1.8 2.5 0.827125 0.827125 0.413562 -0.827125 1.9 2.5 0.821026 0.821026 0.410513 -0.821026 2 2.5 0.814647 0.814647 0.407324 -0.814647 2.1 2.5 0.807995 0.807995 0.403997 -0.807995 2.2 2.5 0.801076 0.801076 0.400538 -0.801076 2.3 2.5 0.793898 0.793898 0.396949 -0.793898 2.4 2.5 0.786471 0.786471 0.393235 -0.786471 2.5 2.5 0.778801 0.778801 0.3894 -0.778801 2.6 2.5 0.770897 0.770897 0.385449 -0.770897 2.7 2.5 0.762769 0.762769 0.381385 -0.762769 2.8 2.5 0.754425 0.754425 0.377212 -0.754425 2.9 2.5 0.745873 0.745873 0.372936 -0.745873 3 2.5 0.737123 0.737123 0.368562 -0.737123 3.1 2.5 0.728185 0.728185 0.364093 -0.728185 3.2 2.5 0.719068 0.719068 0.359534 -0.719068 3.3 2.5 0.70978 0.70978 0.35489 -0.70978 3.4 2.5 0.700333 0.700333 0.350166 -0.700333 3.5 2.5 0.690734 0.690734 0.345367 -0.690734 3.6 2.5 0.680995 0.680995 0.340498 -0.680995 3.7 2.5 0.671125 0.671125 0.335562 -0.671125 3.8 2.5 0.661133 0.661133 0.330567 -0.661133 3.9 2.5 0.65103 0.65103 0.325515 -0.65103 4 2.5 0.640824 0.640824 0.320412 -0.640824 4.1 2.5 0.630527 0.630527 0.315263 -0.630527 4.2 2.5 0.620146 0.620146 0.310073 -0.620146 4.3 2.5 0.609693 0.609693 0.304846 -0.609693 4.4 2.5 0.599176 0.599176 0.299588 -0.599176 4.5 2.5 0.588605 0.588605 0.294302 -0.588605 4.6 2.5 0.577989 0.577989 0.288995 -0.577989 4.7 2.5 0.567338 0.567338 0.283669 -0.567338 4.8 2.5 0.55666 0.55666 0.27833 -0.55666 4.9 2.5 0.545965 0.545965 0.272983 -0.545965 -5 2.6 0.52983 0.52983 0.264915 -0.52983 -4.9 2.6 0.540425 0.540425 0.270212 -0.540425 -4.8 2.6 0.551011 0.551011 0.275506 -0.551011 -4.7 2.6 0.561581 0.561581 0.28079 -0.561581 -4.6 2.6 0.572124 0.572124 0.286062 -0.572124 -4.5 2.6 0.582632 0.582632 0.291316 -0.582632 -4.4 2.6 0.593095 0.593095 0.296548 -0.593095 -4.3 2.6 0.603506 0.603506 0.301753 -0.603506 -4.2 2.6 0.613853 0.613853 0.306926 -0.613853 -4.1 2.6 0.624128 0.624128 0.312064 -0.624128 -4 2.6 0.634321 0.634321 0.317161 -0.634321 -3.9 2.6 0.644423 0.644423 0.322211 -0.644423 -3.8 2.6 0.654424 0.654424 0.327212 -0.654424 -3.7 2.6 0.664314 0.664314 0.332157 -0.664314 -3.6 2.6 0.674084 0.674084 0.337042 -0.674084 -3.5 2.6 0.683725 0.683725 0.341862 -0.683725 -3.4 2.6 0.693225 0.693225 0.346613 -0.693225 -3.3 2.6 0.702577 0.702577 0.351289 -0.702577 -3.2 2.6 0.71177 0.71177 0.355885 -0.71177 -3.1 2.6 0.720795 0.720795 0.360398 -0.720795 -3 2.6 0.729643 0.729643 0.364821 -0.729643 -2.9 2.6 0.738304 0.738304 0.369152 -0.738304 -2.8 2.6 0.746769 0.746769 0.373384 -0.746769 -2.7 2.6 0.755028 0.755028 0.377514 -0.755028 -2.6 2.6 0.763074 0.763074 0.381537 -0.763074 -2.5 2.6 0.770897 0.770897 0.385449 -0.770897 -2.4 2.6 0.778489 0.778489 0.389245 -0.778489 -2.3 2.6 0.785842 0.785842 0.392921 -0.785842 -2.2 2.6 0.792946 0.792946 0.396473 -0.792946 -2.1 2.6 0.799795 0.799795 0.399897 -0.799795 -2 2.6 0.80638 0.80638 0.40319 -0.80638 -1.9 2.6 0.812695 0.812695 0.406347 -0.812695 -1.8 2.6 0.818731 0.818731 0.409365 -0.818731 -1.7 2.6 0.824482 0.824482 0.412241 -0.824482 -1.6 2.6 0.829942 0.829942 0.414971 -0.829942 -1.5 2.6 0.835103 0.835103 0.417552 -0.835103 -1.4 2.6 0.839961 0.839961 0.41998 -0.839961 -1.3 2.6 0.844509 0.844509 0.422254 -0.844509 -1.2 2.6 0.848742 0.848742 0.424371 -0.848742 -1.1 2.6 0.852655 0.852655 0.426328 -0.852655 -1 2.6 0.856244 0.856244 0.428122 -0.856244 -0.9 2.6 0.859504 0.859504 0.429752 -0.859504 -0.8 2.6 0.862431 0.862431 0.431216 -0.862431 -0.7 2.6 0.865022 0.865022 0.432511 -0.865022 -0.6 2.6 0.867274 0.867274 0.433637 -0.867274 -0.5 2.6 0.869184 0.869184 0.434592 -0.869184 -0.4 2.6 0.87075 0.87075 0.435375 -0.87075 -0.3 2.6 0.87197 0.87197 0.435985 -0.87197 -0.2 2.6 0.872843 0.872843 0.436421 -0.872843 -0.1 2.6 0.873366 0.873366 0.436683 -0.873366 0 2.6 0.873541 0.873541 0.436771 -0.873541 0.1 2.6 0.873366 0.873366 0.436683 -0.873366 0.2 2.6 0.872843 0.872843 0.436421 -0.872843 0.3 2.6 0.87197 0.87197 0.435985 -0.87197 0.4 2.6 0.87075 0.87075 0.435375 -0.87075 0.5 2.6 0.869184 0.869184 0.434592 -0.869184 0.6 2.6 0.867274 0.867274 0.433637 -0.867274 0.7 2.6 0.865022 0.865022 0.432511 -0.865022 0.8 2.6 0.862431 0.862431 0.431216 -0.862431 0.9 2.6 0.859504 0.859504 0.429752 -0.859504 1 2.6 0.856244 0.856244 0.428122 -0.856244 1.1 2.6 0.852655 0.852655 0.426328 -0.852655 1.2 2.6 0.848742 0.848742 0.424371 -0.848742 1.3 2.6 0.844509 0.844509 0.422254 -0.844509 1.4 2.6 0.839961 0.839961 0.41998 -0.839961 1.5 2.6 0.835103 0.835103 0.417552 -0.835103 1.6 2.6 0.829942 0.829942 0.414971 -0.829942 1.7 2.6 0.824482 0.824482 0.412241 -0.824482 1.8 2.6 0.818731 0.818731 0.409365 -0.818731 1.9 2.6 0.812695 0.812695 0.406347 -0.812695 2 2.6 0.80638 0.80638 0.40319 -0.80638 2.1 2.6 0.799795 0.799795 0.399897 -0.799795 2.2 2.6 0.792946 0.792946 0.396473 -0.792946 2.3 2.6 0.785842 0.785842 0.392921 -0.785842 2.4 2.6 0.778489 0.778489 0.389245 -0.778489 2.5 2.6 0.770897 0.770897 0.385449 -0.770897 2.6 2.6 0.763074 0.763074 0.381537 -0.763074 2.7 2.6 0.755028 0.755028 0.377514 -0.755028 2.8 2.6 0.746769 0.746769 0.373384 -0.746769 2.9 2.6 0.738304 0.738304 0.369152 -0.738304 3 2.6 0.729643 0.729643 0.364821 -0.729643 3.1 2.6 0.720795 0.720795 0.360398 -0.720795 3.2 2.6 0.71177 0.71177 0.355885 -0.71177 3.3 2.6 0.702577 0.702577 0.351289 -0.702577 3.4 2.6 0.693225 0.693225 0.346613 -0.693225 3.5 2.6 0.683725 0.683725 0.341862 -0.683725 3.6 2.6 0.674084 0.674084 0.337042 -0.674084 3.7 2.6 0.664314 0.664314 0.332157 -0.664314 3.8 2.6 0.654424 0.654424 0.327212 -0.654424 3.9 2.6 0.644423 0.644423 0.322211 -0.644423 4 2.6 0.634321 0.634321 0.317161 -0.634321 4.1 2.6 0.624128 0.624128 0.312064 -0.624128 4.2 2.6 0.613853 0.613853 0.306926 -0.613853 4.3 2.6 0.603506 0.603506 0.301753 -0.603506 4.4 2.6 0.593095 0.593095 0.296548 -0.593095 4.5 2.6 0.582632 0.582632 0.291316 -0.582632 4.6 2.6 0.572124 0.572124 0.286062 -0.572124 4.7 2.6 0.561581 0.561581 0.28079 -0.561581 4.8 2.6 0.551011 0.551011 0.275506 -0.551011 4.9 2.6 0.540425 0.540425 0.270212 -0.540425 -5 2.7 0.524243 0.524243 0.262121 -0.524243 -4.9 2.7 0.534726 0.534726 0.267363 -0.534726 -4.8 2.7 0.545201 0.545201 0.272601 -0.545201 -4.7 2.7 0.555659 0.555659 0.27783 -0.555659 -4.6 2.7 0.566091 0.566091 0.283046 -0.566091 -4.5 2.7 0.576488 0.576488 0.288244 -0.576488 -4.4 2.7 0.586842 0.586842 0.293421 -0.586842 -4.3 2.7 0.597142 0.597142 0.298571 -0.597142 -4.2 2.7 0.60738 0.60738 0.30369 -0.60738 -4.1 2.7 0.617547 0.617547 0.308774 -0.617547 -4 2.7 0.627633 0.627633 0.313816 -0.627633 -3.9 2.7 0.637628 0.637628 0.318814 -0.637628 -3.8 2.7 0.647524 0.647524 0.323762 -0.647524 -3.7 2.7 0.65731 0.65731 0.328655 -0.65731 -3.6 2.7 0.666977 0.666977 0.333488 -0.666977 -3.5 2.7 0.676515 0.676515 0.338258 -0.676515 -3.4 2.7 0.685916 0.685916 0.342958 -0.685916 -3.3 2.7 0.695169 0.695169 0.347585 -0.695169 -3.2 2.7 0.704265 0.704265 0.352133 -0.704265 -3.1 2.7 0.713195 0.713195 0.356598 -0.713195 -3 2.7 0.72195 0.72195 0.360975 -0.72195 -2.9 2.7 0.730519 0.730519 0.36526 -0.730519 -2.8 2.7 0.738895 0.738895 0.369447 -0.738895 -2.7 2.7 0.747067 0.747067 0.373534 -0.747067 -2.6 2.7 0.755028 0.755028 0.377514 -0.755028 -2.5 2.7 0.762769 0.762769 0.381385 -0.762769 -2.4 2.7 0.770281 0.770281 0.38514 -0.770281 -2.3 2.7 0.777556 0.777556 0.388778 -0.777556 -2.2 2.7 0.784585 0.784585 0.392293 -0.784585 -2.1 2.7 0.791362 0.791362 0.395681 -0.791362 -2 2.7 0.797878 0.797878 0.398939 -0.797878 -1.9 2.7 0.804125 0.804125 0.402063 -0.804125 -1.8 2.7 0.810098 0.810098 0.405049 -0.810098 -1.7 2.7 0.815789 0.815789 0.407894 -0.815789 -1.6 2.7 0.821191 0.821191 0.410595 -0.821191 -1.5 2.7 0.826298 0.826298 0.413149 -0.826298 -1.4 2.7 0.831104 0.831104 0.415552 -0.831104 -1.3 2.7 0.835604 0.835604 0.417802 -0.835604 -1.2 2.7 0.839793 0.839793 0.419896 -0.839793 -1.1 2.7 0.843665 0.843665 0.421832 -0.843665 -1 2.7 0.847216 0.847216 0.423608 -0.847216 -0.9 2.7 0.850441 0.850441 0.425221 -0.850441 -0.8 2.7 0.853338 0.853338 0.426669 -0.853338 -0.7 2.7 0.855901 0.855901 0.427951 -0.855901 -0.6 2.7 0.85813 0.85813 0.429065 -0.85813 -0.5 2.7 0.86002 0.86002 0.43001 -0.86002 -0.4 2.7 0.861569 0.861569 0.430785 -0.861569 -0.3 2.7 0.862776 0.862776 0.431388 -0.862776 -0.2 2.7 0.863639 0.863639 0.43182 -0.863639 -0.1 2.7 0.864158 0.864158 0.432079 -0.864158 0 2.7 0.864331 0.864331 0.432165 -0.864331 0.1 2.7 0.864158 0.864158 0.432079 -0.864158 0.2 2.7 0.863639 0.863639 0.43182 -0.863639 0.3 2.7 0.862776 0.862776 0.431388 -0.862776 0.4 2.7 0.861569 0.861569 0.430785 -0.861569 0.5 2.7 0.86002 0.86002 0.43001 -0.86002 0.6 2.7 0.85813 0.85813 0.429065 -0.85813 0.7 2.7 0.855901 0.855901 0.427951 -0.855901 0.8 2.7 0.853338 0.853338 0.426669 -0.853338 0.9 2.7 0.850441 0.850441 0.425221 -0.850441 1 2.7 0.847216 0.847216 0.423608 -0.847216 1.1 2.7 0.843665 0.843665 0.421832 -0.843665 1.2 2.7 0.839793 0.839793 0.419896 -0.839793 1.3 2.7 0.835604 0.835604 0.417802 -0.835604 1.4 2.7 0.831104 0.831104 0.415552 -0.831104 1.5 2.7 0.826298 0.826298 0.413149 -0.826298 1.6 2.7 0.821191 0.821191 0.410595 -0.821191 1.7 2.7 0.815789 0.815789 0.407894 -0.815789 1.8 2.7 0.810098 0.810098 0.405049 -0.810098 1.9 2.7 0.804125 0.804125 0.402063 -0.804125 2 2.7 0.797878 0.797878 0.398939 -0.797878 2.1 2.7 0.791362 0.791362 0.395681 -0.791362 2.2 2.7 0.784585 0.784585 0.392293 -0.784585 2.3 2.7 0.777556 0.777556 0.388778 -0.777556 2.4 2.7 0.770281 0.770281 0.38514 -0.770281 2.5 2.7 0.762769 0.762769 0.381385 -0.762769 2.6 2.7 0.755028 0.755028 0.377514 -0.755028 2.7 2.7 0.747067 0.747067 0.373534 -0.747067 2.8 2.7 0.738895 0.738895 0.369447 -0.738895 2.9 2.7 0.730519 0.730519 0.36526 -0.730519 3 2.7 0.72195 0.72195 0.360975 -0.72195 3.1 2.7 0.713195 0.713195 0.356598 -0.713195 3.2 2.7 0.704265 0.704265 0.352133 -0.704265 3.3 2.7 0.695169 0.695169 0.347585 -0.695169 3.4 2.7 0.685916 0.685916 0.342958 -0.685916 3.5 2.7 0.676515 0.676515 0.338258 -0.676515 3.6 2.7 0.666977 0.666977 0.333488 -0.666977 3.7 2.7 0.65731 0.65731 0.328655 -0.65731 3.8 2.7 0.647524 0.647524 0.323762 -0.647524 3.9 2.7 0.637628 0.637628 0.318814 -0.637628 4 2.7 0.627633 0.627633 0.313816 -0.627633 4.1 2.7 0.617547 0.617547 0.308774 -0.617547 4.2 2.7 0.60738 0.60738 0.30369 -0.60738 4.3 2.7 0.597142 0.597142 0.298571 -0.597142 4.4 2.7 0.586842 0.586842 0.293421 -0.586842 4.5 2.7 0.576488 0.576488 0.288244 -0.576488 4.6 2.7 0.566091 0.566091 0.283046 -0.566091 4.7 2.7 0.555659 0.555659 0.27783 -0.555659 4.8 2.7 0.545201 0.545201 0.272601 -0.545201 4.9 2.7 0.534726 0.534726 0.267363 -0.534726 -5 2.8 0.518508 0.518508 0.259254 -0.518508 -4.9 2.8 0.528877 0.528877 0.264438 -0.528877 -4.8 2.8 0.539237 0.539237 0.269619 -0.539237 -4.7 2.8 0.549581 0.549581 0.27479 -0.549581 -4.6 2.8 0.559898 0.559898 0.279949 -0.559898 -4.5 2.8 0.570182 0.570182 0.285091 -0.570182 -4.4 2.8 0.580422 0.580422 0.290211 -0.580422 -4.3 2.8 0.59061 0.59061 0.295305 -0.59061 -4.2 2.8 0.600736 0.600736 0.300368 -0.600736 -4.1 2.8 0.610791 0.610791 0.305396 -0.610791 -4 2.8 0.620767 0.620767 0.310383 -0.620767 -3.9 2.8 0.630653 0.630653 0.315326 -0.630653 -3.8 2.8 0.64044 0.64044 0.32022 -0.64044 -3.7 2.8 0.650119 0.650119 0.325059 -0.650119 -3.6 2.8 0.65968 0.65968 0.32984 -0.65968 -3.5 2.8 0.669115 0.669115 0.334557 -0.669115 -3.4 2.8 0.678412 0.678412 0.339206 -0.678412 -3.3 2.8 0.687564 0.687564 0.343782 -0.687564 -3.2 2.8 0.696561 0.696561 0.34828 -0.696561 -3.1 2.8 0.705393 0.705393 0.352697 -0.705393 -3 2.8 0.714052 0.714052 0.357026 -0.714052 -2.9 2.8 0.722527 0.722527 0.361264 -0.722527 -2.8 2.8 0.730811 0.730811 0.365406 -0.730811 -2.7 2.8 0.738895 0.738895 0.369447 -0.738895 -2.6 2.8 0.746769 0.746769 0.373384 -0.746769 -2.5 2.8 0.754425 0.754425 0.377212 -0.754425 -2.4 2.8 0.761854 0.761854 0.380927 -0.761854 -2.3 2.8 0.769049 0.769049 0.384525 -0.769049 -2.2 2.8 0.776002 0.776002 0.388001 -0.776002 -2.1 2.8 0.782705 0.782705 0.391352 -0.782705 -2 2.8 0.789149 0.789149 0.394575 -0.789149 -1.9 2.8 0.795329 0.795329 0.397664 -0.795329 -1.8 2.8 0.801236 0.801236 0.400618 -0.801236 -1.7 2.8 0.806864 0.806864 0.403432 -0.806864 -1.6 2.8 0.812207 0.812207 0.406104 -0.812207 -1.5 2.8 0.817258 0.817258 0.408629 -0.817258 -1.4 2.8 0.822012 0.822012 0.411006 -0.822012 -1.3 2.8 0.826463 0.826463 0.413232 -0.826463 -1.2 2.8 0.830606 0.830606 0.415303 -0.830606 -1.1 2.8 0.834435 0.834435 0.417218 -0.834435 -1 2.8 0.837947 0.837947 0.418974 -0.837947 -0.9 2.8 0.841138 0.841138 0.420569 -0.841138 -0.8 2.8 0.844002 0.844002 0.422001 -0.844002 -0.7 2.8 0.846538 0.846538 0.423269 -0.846538 -0.6 2.8 0.848742 0.848742 0.424371 -0.848742 -0.5 2.8 0.850611 0.850611 0.425306 -0.850611 -0.4 2.8 0.852144 0.852144 0.426072 -0.852144 -0.3 2.8 0.853338 0.853338 0.426669 -0.853338 -0.2 2.8 0.854191 0.854191 0.427096 -0.854191 -0.1 2.8 0.854704 0.854704 0.427352 -0.854704 0 2.8 0.854875 0.854875 0.427438 -0.854875 0.1 2.8 0.854704 0.854704 0.427352 -0.854704 0.2 2.8 0.854191 0.854191 0.427096 -0.854191 0.3 2.8 0.853338 0.853338 0.426669 -0.853338 0.4 2.8 0.852144 0.852144 0.426072 -0.852144 0.5 2.8 0.850611 0.850611 0.425306 -0.850611 0.6 2.8 0.848742 0.848742 0.424371 -0.848742 0.7 2.8 0.846538 0.846538 0.423269 -0.846538 0.8 2.8 0.844002 0.844002 0.422001 -0.844002 0.9 2.8 0.841138 0.841138 0.420569 -0.841138 1 2.8 0.837947 0.837947 0.418974 -0.837947 1.1 2.8 0.834435 0.834435 0.417218 -0.834435 1.2 2.8 0.830606 0.830606 0.415303 -0.830606 1.3 2.8 0.826463 0.826463 0.413232 -0.826463 1.4 2.8 0.822012 0.822012 0.411006 -0.822012 1.5 2.8 0.817258 0.817258 0.408629 -0.817258 1.6 2.8 0.812207 0.812207 0.406104 -0.812207 1.7 2.8 0.806864 0.806864 0.403432 -0.806864 1.8 2.8 0.801236 0.801236 0.400618 -0.801236 1.9 2.8 0.795329 0.795329 0.397664 -0.795329 2 2.8 0.789149 0.789149 0.394575 -0.789149 2.1 2.8 0.782705 0.782705 0.391352 -0.782705 2.2 2.8 0.776002 0.776002 0.388001 -0.776002 2.3 2.8 0.769049 0.769049 0.384525 -0.769049 2.4 2.8 0.761854 0.761854 0.380927 -0.761854 2.5 2.8 0.754425 0.754425 0.377212 -0.754425 2.6 2.8 0.746769 0.746769 0.373384 -0.746769 2.7 2.8 0.738895 0.738895 0.369447 -0.738895 2.8 2.8 0.730811 0.730811 0.365406 -0.730811 2.9 2.8 0.722527 0.722527 0.361264 -0.722527 3 2.8 0.714052 0.714052 0.357026 -0.714052 3.1 2.8 0.705393 0.705393 0.352697 -0.705393 3.2 2.8 0.696561 0.696561 0.34828 -0.696561 3.3 2.8 0.687564 0.687564 0.343782 -0.687564 3.4 2.8 0.678412 0.678412 0.339206 -0.678412 3.5 2.8 0.669115 0.669115 0.334557 -0.669115 3.6 2.8 0.65968 0.65968 0.32984 -0.65968 3.7 2.8 0.650119 0.650119 0.325059 -0.650119 3.8 2.8 0.64044 0.64044 0.32022 -0.64044 3.9 2.8 0.630653 0.630653 0.315326 -0.630653 4 2.8 0.620767 0.620767 0.310383 -0.620767 4.1 2.8 0.610791 0.610791 0.305396 -0.610791 4.2 2.8 0.600736 0.600736 0.300368 -0.600736 4.3 2.8 0.59061 0.59061 0.295305 -0.59061 4.4 2.8 0.580422 0.580422 0.290211 -0.580422 4.5 2.8 0.570182 0.570182 0.285091 -0.570182 4.6 2.8 0.559898 0.559898 0.279949 -0.559898 4.7 2.8 0.549581 0.549581 0.27479 -0.549581 4.8 2.8 0.539237 0.539237 0.269619 -0.539237 4.9 2.8 0.528877 0.528877 0.264438 -0.528877 -5 2.9 0.51263 0.51263 0.256315 -0.51263 -4.9 2.9 0.522882 0.522882 0.261441 -0.522882 -4.8 2.9 0.533125 0.533125 0.266562 -0.533125 -4.7 2.9 0.543351 0.543351 0.271675 -0.543351 -4.6 2.9 0.553552 0.553552 0.276776 -0.553552 -4.5 2.9 0.563719 0.563719 0.281859 -0.563719 -4.4 2.9 0.573843 0.573843 0.286921 -0.573843 -4.3 2.9 0.583915 0.583915 0.291957 -0.583915 -4.2 2.9 0.593926 0.593926 0.296963 -0.593926 -4.1 2.9 0.603868 0.603868 0.301934 -0.603868 -4 2.9 0.61373 0.61373 0.306865 -0.61373 -3.9 2.9 0.623504 0.623504 0.311752 -0.623504 -3.8 2.9 0.63318 0.63318 0.31659 -0.63318 -3.7 2.9 0.64275 0.64275 0.321375 -0.64275 -3.6 2.9 0.652203 0.652203 0.326101 -0.652203 -3.5 2.9 0.66153 0.66153 0.330765 -0.66153 -3.4 2.9 0.670722 0.670722 0.335361 -0.670722 -3.3 2.9 0.679771 0.679771 0.339885 -0.679771 -3.2 2.9 0.688665 0.688665 0.344333 -0.688665 -3.1 2.9 0.697397 0.697397 0.348699 -0.697397 -3 2.9 0.705958 0.705958 0.352979 -0.705958 -2.9 2.9 0.714337 0.714337 0.357169 -0.714337 -2.8 2.9 0.722527 0.722527 0.361264 -0.722527 -2.7 2.9 0.730519 0.730519 0.36526 -0.730519 -2.6 2.9 0.738304 0.738304 0.369152 -0.738304 -2.5 2.9 0.745873 0.745873 0.372936 -0.745873 -2.4 2.9 0.753218 0.753218 0.376609 -0.753218 -2.3 2.9 0.760332 0.760332 0.380166 -0.760332 -2.2 2.9 0.767206 0.767206 0.383603 -0.767206 -2.1 2.9 0.773832 0.773832 0.386916 -0.773832 -2 2.9 0.780204 0.780204 0.390102 -0.780204 -1.9 2.9 0.786313 0.786313 0.393157 -0.786313 -1.8 2.9 0.792154 0.792154 0.396077 -0.792154 -1.7 2.9 0.797718 0.797718 0.398859 -0.797718 -1.6 2.9 0.803 0.803 0.4015 -0.803 -1.5 2.9 0.807995 0.807995 0.403997 -0.807995 -1.4 2.9 0.812695 0.812695 0.406347 -0.812695 -1.3 2.9 0.817095 0.817095 0.408547 -0.817095 -1.2 2.9 0.821191 0.821191 0.410595 -0.821191 -1.1 2.9 0.824977 0.824977 0.412488 -0.824977 -1 2.9 0.828449 0.828449 0.414225 -0.828449 -0.9 2.9 0.831603 0.831603 0.415802 -0.831603 -0.8 2.9 0.834435 0.834435 0.417218 -0.834435 -0.7 2.9 0.836942 0.836942 0.418471 -0.836942 -0.6 2.9 0.839121 0.839121 0.419561 -0.839121 -0.5 2.9 0.840969 0.840969 0.420485 -0.840969 -0.4 2.9 0.842485 0.842485 0.421242 -0.842485 -0.3 2.9 0.843665 0.843665 0.421832 -0.843665 -0.2 2.9 0.844509 0.844509 0.422254 -0.844509 -0.1 2.9 0.845016 0.845016 0.422508 -0.845016 0 2.9 0.845185 0.845185 0.422592 -0.845185 0.1 2.9 0.845016 0.845016 0.422508 -0.845016 0.2 2.9 0.844509 0.844509 0.422254 -0.844509 0.3 2.9 0.843665 0.843665 0.421832 -0.843665 0.4 2.9 0.842485 0.842485 0.421242 -0.842485 0.5 2.9 0.840969 0.840969 0.420485 -0.840969 0.6 2.9 0.839121 0.839121 0.419561 -0.839121 0.7 2.9 0.836942 0.836942 0.418471 -0.836942 0.8 2.9 0.834435 0.834435 0.417218 -0.834435 0.9 2.9 0.831603 0.831603 0.415802 -0.831603 1 2.9 0.828449 0.828449 0.414225 -0.828449 1.1 2.9 0.824977 0.824977 0.412488 -0.824977 1.2 2.9 0.821191 0.821191 0.410595 -0.821191 1.3 2.9 0.817095 0.817095 0.408547 -0.817095 1.4 2.9 0.812695 0.812695 0.406347 -0.812695 1.5 2.9 0.807995 0.807995 0.403997 -0.807995 1.6 2.9 0.803 0.803 0.4015 -0.803 1.7 2.9 0.797718 0.797718 0.398859 -0.797718 1.8 2.9 0.792154 0.792154 0.396077 -0.792154 1.9 2.9 0.786313 0.786313 0.393157 -0.786313 2 2.9 0.780204 0.780204 0.390102 -0.780204 2.1 2.9 0.773832 0.773832 0.386916 -0.773832 2.2 2.9 0.767206 0.767206 0.383603 -0.767206 2.3 2.9 0.760332 0.760332 0.380166 -0.760332 2.4 2.9 0.753218 0.753218 0.376609 -0.753218 2.5 2.9 0.745873 0.745873 0.372936 -0.745873 2.6 2.9 0.738304 0.738304 0.369152 -0.738304 2.7 2.9 0.730519 0.730519 0.36526 -0.730519 2.8 2.9 0.722527 0.722527 0.361264 -0.722527 2.9 2.9 0.714337 0.714337 0.357169 -0.714337 3 2.9 0.705958 0.705958 0.352979 -0.705958 3.1 2.9 0.697397 0.697397 0.348699 -0.697397 3.2 2.9 0.688665 0.688665 0.344333 -0.688665 3.3 2.9 0.679771 0.679771 0.339885 -0.679771 3.4 2.9 0.670722 0.670722 0.335361 -0.670722 3.5 2.9 0.66153 0.66153 0.330765 -0.66153 3.6 2.9 0.652203 0.652203 0.326101 -0.652203 3.7 2.9 0.64275 0.64275 0.321375 -0.64275 3.8 2.9 0.63318 0.63318 0.31659 -0.63318 3.9 2.9 0.623504 0.623504 0.311752 -0.623504 4 2.9 0.61373 0.61373 0.306865 -0.61373 4.1 2.9 0.603868 0.603868 0.301934 -0.603868 4.2 2.9 0.593926 0.593926 0.296963 -0.593926 4.3 2.9 0.583915 0.583915 0.291957 -0.583915 4.4 2.9 0.573843 0.573843 0.286921 -0.573843 4.5 2.9 0.563719 0.563719 0.281859 -0.563719 4.6 2.9 0.553552 0.553552 0.276776 -0.553552 4.7 2.9 0.543351 0.543351 0.271675 -0.543351 4.8 2.9 0.533125 0.533125 0.266562 -0.533125 4.9 2.9 0.522882 0.522882 0.261441 -0.522882 -5 3 0.506617 0.506617 0.253308 -0.506617 -4.9 3 0.516748 0.516748 0.258374 -0.516748 -4.8 3 0.526871 0.526871 0.263435 -0.526871 -4.7 3 0.536977 0.536977 0.268489 -0.536977 -4.6 3 0.547058 0.547058 0.273529 -0.547058 -4.5 3 0.557106 0.557106 0.278553 -0.557106 -4.4 3 0.567111 0.567111 0.283556 -0.567111 -4.3 3 0.577065 0.577065 0.288533 -0.577065 -4.2 3 0.586959 0.586959 0.29348 -0.586959 -4.1 3 0.596784 0.596784 0.298392 -0.596784 -4 3 0.606531 0.606531 0.303265 -0.606531 -3.9 3 0.61619 0.61619 0.308095 -0.61619 -3.8 3 0.625753 0.625753 0.312876 -0.625753 -3.7 3 0.63521 0.63521 0.317605 -0.63521 -3.6 3 0.644552 0.644552 0.322276 -0.644552 -3.5 3 0.65377 0.65377 0.326885 -0.65377 -3.4 3 0.662854 0.662854 0.331427 -0.662854 -3.3 3 0.671796 0.671796 0.335898 -0.671796 -3.2 3 0.680587 0.680587 0.340293 -0.680587 -3.1 3 0.689216 0.689216 0.344608 -0.689216 -3 3 0.697676 0.697676 0.348838 -0.697676 -2.9 3 0.705958 0.705958 0.352979 -0.705958 -2.8 3 0.714052 0.714052 0.357026 -0.714052 -2.7 3 0.72195 0.72195 0.360975 -0.72195 -2.6 3 0.729643 0.729643 0.364821 -0.729643 -2.5 3 0.737123 0.737123 0.368562 -0.737123 -2.4 3 0.744383 0.744383 0.372191 -0.744383 -2.3 3 0.751413 0.751413 0.375706 -0.751413 -2.2 3 0.758206 0.758206 0.379103 -0.758206 -2.1 3 0.764755 0.764755 0.382377 -0.764755 -2 3 0.771052 0.771052 0.385526 -0.771052 -1.9 3 0.777089 0.777089 0.388545 -0.777089 -1.8 3 0.782861 0.782861 0.391431 -0.782861 -1.7 3 0.78836 0.78836 0.39418 -0.78836 -1.6 3 0.793581 0.793581 0.39679 -0.793581 -1.5 3 0.798516 0.798516 0.399258 -0.798516 -1.4 3 0.803161 0.803161 0.401581 -0.803161 -1.3 3 0.80751 0.80751 0.403755 -0.80751 -1.2 3 0.811558 0.811558 0.405779 -0.811558 -1.1 3 0.815299 0.815299 0.40765 -0.815299 -1 3 0.818731 0.818731 0.409365 -0.818731 -0.9 3 0.821848 0.821848 0.410924 -0.821848 -0.8 3 0.824647 0.824647 0.412323 -0.824647 -0.7 3 0.827125 0.827125 0.413562 -0.827125 -0.6 3 0.829278 0.829278 0.414639 -0.829278 -0.5 3 0.831104 0.831104 0.415552 -0.831104 -0.4 3 0.832602 0.832602 0.416301 -0.832602 -0.3 3 0.833768 0.833768 0.416884 -0.833768 -0.2 3 0.834602 0.834602 0.417301 -0.834602 -0.1 3 0.835103 0.835103 0.417552 -0.835103 0 3 0.83527 0.83527 0.417635 -0.83527 0.1 3 0.835103 0.835103 0.417552 -0.835103 0.2 3 0.834602 0.834602 0.417301 -0.834602 0.3 3 0.833768 0.833768 0.416884 -0.833768 0.4 3 0.832602 0.832602 0.416301 -0.832602 0.5 3 0.831104 0.831104 0.415552 -0.831104 0.6 3 0.829278 0.829278 0.414639 -0.829278 0.7 3 0.827125 0.827125 0.413562 -0.827125 0.8 3 0.824647 0.824647 0.412323 -0.824647 0.9 3 0.821848 0.821848 0.410924 -0.821848 1 3 0.818731 0.818731 0.409365 -0.818731 1.1 3 0.815299 0.815299 0.40765 -0.815299 1.2 3 0.811558 0.811558 0.405779 -0.811558 1.3 3 0.80751 0.80751 0.403755 -0.80751 1.4 3 0.803161 0.803161 0.401581 -0.803161 1.5 3 0.798516 0.798516 0.399258 -0.798516 1.6 3 0.793581 0.793581 0.39679 -0.793581 1.7 3 0.78836 0.78836 0.39418 -0.78836 1.8 3 0.782861 0.782861 0.391431 -0.782861 1.9 3 0.777089 0.777089 0.388545 -0.777089 2 3 0.771052 0.771052 0.385526 -0.771052 2.1 3 0.764755 0.764755 0.382377 -0.764755 2.2 3 0.758206 0.758206 0.379103 -0.758206 2.3 3 0.751413 0.751413 0.375706 -0.751413 2.4 3 0.744383 0.744383 0.372191 -0.744383 2.5 3 0.737123 0.737123 0.368562 -0.737123 2.6 3 0.729643 0.729643 0.364821 -0.729643 2.7 3 0.72195 0.72195 0.360975 -0.72195 2.8 3 0.714052 0.714052 0.357026 -0.714052 2.9 3 0.705958 0.705958 0.352979 -0.705958 3 3 0.697676 0.697676 0.348838 -0.697676 3.1 3 0.689216 0.689216 0.344608 -0.689216 3.2 3 0.680587 0.680587 0.340293 -0.680587 3.3 3 0.671796 0.671796 0.335898 -0.671796 3.4 3 0.662854 0.662854 0.331427 -0.662854 3.5 3 0.65377 0.65377 0.326885 -0.65377 3.6 3 0.644552 0.644552 0.322276 -0.644552 3.7 3 0.63521 0.63521 0.317605 -0.63521 3.8 3 0.625753 0.625753 0.312876 -0.625753 3.9 3 0.61619 0.61619 0.308095 -0.61619 4 3 0.606531 0.606531 0.303265 -0.606531 4.1 3 0.596784 0.596784 0.298392 -0.596784 4.2 3 0.586959 0.586959 0.29348 -0.586959 4.3 3 0.577065 0.577065 0.288533 -0.577065 4.4 3 0.567111 0.567111 0.283556 -0.567111 4.5 3 0.557106 0.557106 0.278553 -0.557106 4.6 3 0.547058 0.547058 0.273529 -0.547058 4.7 3 0.536977 0.536977 0.268489 -0.536977 4.8 3 0.526871 0.526871 0.263435 -0.526871 4.9 3 0.516748 0.516748 0.258374 -0.516748 -5 3.1 0.500474 0.500474 0.250237 -0.500474 -4.9 3.1 0.510482 0.510482 0.255241 -0.510482 -4.8 3.1 0.520482 0.520482 0.260241 -0.520482 -4.7 3.1 0.530466 0.530466 0.265233 -0.530466 -4.6 3.1 0.540425 0.540425 0.270212 -0.540425 -4.5 3.1 0.55035 0.55035 0.275175 -0.55035 -4.4 3.1 0.560234 0.560234 0.280117 -0.560234 -4.3 3.1 0.570068 0.570068 0.285034 -0.570068 -4.2 3.1 0.579842 0.579842 0.289921 -0.579842 -4.1 3.1 0.589547 0.589547 0.294774 -0.589547 -4 3.1 0.599176 0.599176 0.299588 -0.599176 -3.9 3.1 0.608718 0.608718 0.304359 -0.608718 -3.8 3.1 0.618165 0.618165 0.309082 -0.618165 -3.7 3.1 0.627507 0.627507 0.313754 -0.627507 -3.6 3.1 0.636736 0.636736 0.318368 -0.636736 -3.5 3.1 0.645842 0.645842 0.322921 -0.645842 -3.4 3.1 0.654817 0.654817 0.327408 -0.654817 -3.3 3.1 0.66365 0.66365 0.331825 -0.66365 -3.2 3.1 0.672334 0.672334 0.336167 -0.672334 -3.1 3.1 0.680859 0.680859 0.34043 -0.680859 -3 3.1 0.689216 0.689216 0.344608 -0.689216 -2.9 3.1 0.697397 0.697397 0.348699 -0.697397 -2.8 3.1 0.705393 0.705393 0.352697 -0.705393 -2.7 3.1 0.713195 0.713195 0.356598 -0.713195 -2.6 3.1 0.720795 0.720795 0.360398 -0.720795 -2.5 3.1 0.728185 0.728185 0.364093 -0.728185 -2.4 3.1 0.735356 0.735356 0.367678 -0.735356 -2.3 3.1 0.742301 0.742301 0.371151 -0.742301 -2.2 3.1 0.749012 0.749012 0.374506 -0.749012 -2.1 3.1 0.755481 0.755481 0.377741 -0.755481 -2 3.1 0.761702 0.761702 0.380851 -0.761702 -1.9 3.1 0.767666 0.767666 0.383833 -0.767666 -1.8 3.1 0.773368 0.773368 0.386684 -0.773368 -1.7 3.1 0.778801 0.778801 0.3894 -0.778801 -1.6 3.1 0.783958 0.783958 0.391979 -0.783958 -1.5 3.1 0.788834 0.788834 0.394417 -0.788834 -1.4 3.1 0.793422 0.793422 0.396711 -0.793422 -1.3 3.1 0.797718 0.797718 0.398859 -0.797718 -1.2 3.1 0.801717 0.801717 0.400858 -0.801717 -1.1 3.1 0.805413 0.805413 0.402707 -0.805413 -1 3.1 0.808803 0.808803 0.404401 -0.808803 -0.9 3.1 0.811882 0.811882 0.405941 -0.811882 -0.8 3.1 0.814647 0.814647 0.407324 -0.814647 -0.7 3.1 0.817095 0.817095 0.408547 -0.817095 -0.6 3.1 0.819222 0.819222 0.409611 -0.819222 -0.5 3.1 0.821026 0.821026 0.410513 -0.821026 -0.4 3.1 0.822506 0.822506 0.411253 -0.822506 -0.3 3.1 0.823658 0.823658 0.411829 -0.823658 -0.2 3.1 0.824482 0.824482 0.412241 -0.824482 -0.1 3.1 0.824977 0.824977 0.412488 -0.824977 0 3.1 0.825142 0.825142 0.412571 -0.825142 0.1 3.1 0.824977 0.824977 0.412488 -0.824977 0.2 3.1 0.824482 0.824482 0.412241 -0.824482 0.3 3.1 0.823658 0.823658 0.411829 -0.823658 0.4 3.1 0.822506 0.822506 0.411253 -0.822506 0.5 3.1 0.821026 0.821026 0.410513 -0.821026 0.6 3.1 0.819222 0.819222 0.409611 -0.819222 0.7 3.1 0.817095 0.817095 0.408547 -0.817095 0.8 3.1 0.814647 0.814647 0.407324 -0.814647 0.9 3.1 0.811882 0.811882 0.405941 -0.811882 1 3.1 0.808803 0.808803 0.404401 -0.808803 1.1 3.1 0.805413 0.805413 0.402707 -0.805413 1.2 3.1 0.801717 0.801717 0.400858 -0.801717 1.3 3.1 0.797718 0.797718 0.398859 -0.797718 1.4 3.1 0.793422 0.793422 0.396711 -0.793422 1.5 3.1 0.788834 0.788834 0.394417 -0.788834 1.6 3.1 0.783958 0.783958 0.391979 -0.783958 1.7 3.1 0.778801 0.778801 0.3894 -0.778801 1.8 3.1 0.773368 0.773368 0.386684 -0.773368 1.9 3.1 0.767666 0.767666 0.383833 -0.767666 2 3.1 0.761702 0.761702 0.380851 -0.761702 2.1 3.1 0.755481 0.755481 0.377741 -0.755481 2.2 3.1 0.749012 0.749012 0.374506 -0.749012 2.3 3.1 0.742301 0.742301 0.371151 -0.742301 2.4 3.1 0.735356 0.735356 0.367678 -0.735356 2.5 3.1 0.728185 0.728185 0.364093 -0.728185 2.6 3.1 0.720795 0.720795 0.360398 -0.720795 2.7 3.1 0.713195 0.713195 0.356598 -0.713195 2.8 3.1 0.705393 0.705393 0.352697 -0.705393 2.9 3.1 0.697397 0.697397 0.348699 -0.697397 3 3.1 0.689216 0.689216 0.344608 -0.689216 3.1 3.1 0.680859 0.680859 0.34043 -0.680859 3.2 3.1 0.672334 0.672334 0.336167 -0.672334 3.3 3.1 0.66365 0.66365 0.331825 -0.66365 3.4 3.1 0.654817 0.654817 0.327408 -0.654817 3.5 3.1 0.645842 0.645842 0.322921 -0.645842 3.6 3.1 0.636736 0.636736 0.318368 -0.636736 3.7 3.1 0.627507 0.627507 0.313754 -0.627507 3.8 3.1 0.618165 0.618165 0.309082 -0.618165 3.9 3.1 0.608718 0.608718 0.304359 -0.608718 4 3.1 0.599176 0.599176 0.299588 -0.599176 4.1 3.1 0.589547 0.589547 0.294774 -0.589547 4.2 3.1 0.579842 0.579842 0.289921 -0.579842 4.3 3.1 0.570068 0.570068 0.285034 -0.570068 4.4 3.1 0.560234 0.560234 0.280117 -0.560234 4.5 3.1 0.55035 0.55035 0.275175 -0.55035 4.6 3.1 0.540425 0.540425 0.270212 -0.540425 4.7 3.1 0.530466 0.530466 0.265233 -0.530466 4.8 3.1 0.520482 0.520482 0.260241 -0.520482 4.9 3.1 0.510482 0.510482 0.255241 -0.510482 -5 3.2 0.494207 0.494207 0.247104 -0.494207 -4.9 3.2 0.50409 0.50409 0.252045 -0.50409 -4.8 3.2 0.513965 0.513965 0.256983 -0.513965 -4.7 3.2 0.523824 0.523824 0.261912 -0.523824 -4.6 3.2 0.533658 0.533658 0.266829 -0.533658 -4.5 3.2 0.54346 0.54346 0.27173 -0.54346 -4.4 3.2 0.55322 0.55322 0.27661 -0.55322 -4.3 3.2 0.56293 0.56293 0.281465 -0.56293 -4.2 3.2 0.572582 0.572582 0.286291 -0.572582 -4.1 3.2 0.582166 0.582166 0.291083 -0.582166 -4 3.2 0.591674 0.591674 0.295837 -0.591674 -3.9 3.2 0.601096 0.601096 0.300548 -0.601096 -3.8 3.2 0.610425 0.610425 0.305212 -0.610425 -3.7 3.2 0.61965 0.61965 0.309825 -0.61965 -3.6 3.2 0.628764 0.628764 0.314382 -0.628764 -3.5 3.2 0.637756 0.637756 0.318878 -0.637756 -3.4 3.2 0.646618 0.646618 0.323309 -0.646618 -3.3 3.2 0.655341 0.655341 0.32767 -0.655341 -3.2 3.2 0.663916 0.663916 0.331958 -0.663916 -3.1 3.2 0.672334 0.672334 0.336167 -0.672334 -3 3.2 0.680587 0.680587 0.340293 -0.680587 -2.9 3.2 0.688665 0.688665 0.344333 -0.688665 -2.8 3.2 0.696561 0.696561 0.34828 -0.696561 -2.7 3.2 0.704265 0.704265 0.352133 -0.704265 -2.6 3.2 0.71177 0.71177 0.355885 -0.71177 -2.5 3.2 0.719068 0.719068 0.359534 -0.719068 -2.4 3.2 0.726149 0.726149 0.363075 -0.726149 -2.3 3.2 0.733007 0.733007 0.366504 -0.733007 -2.2 3.2 0.739634 0.739634 0.369817 -0.739634 -2.1 3.2 0.746022 0.746022 0.373011 -0.746022 -2 3.2 0.752165 0.752165 0.376082 -0.752165 -1.9 3.2 0.758054 0.758054 0.379027 -0.758054 -1.8 3.2 0.763685 0.763685 0.381842 -0.763685 -1.7 3.2 0.769049 0.769049 0.384525 -0.769049 -1.6 3.2 0.774142 0.774142 0.387071 -0.774142 -1.5 3.2 0.778957 0.778957 0.389478 -0.778957 -1.4 3.2 0.783488 0.783488 0.391744 -0.783488 -1.3 3.2 0.78773 0.78773 0.393865 -0.78773 -1.2 3.2 0.791678 0.791678 0.395839 -0.791678 -1.1 3.2 0.795329 0.795329 0.397664 -0.795329 -1 3.2 0.798676 0.798676 0.399338 -0.798676 -0.9 3.2 0.801717 0.801717 0.400858 -0.801717 -0.8 3.2 0.804447 0.804447 0.402224 -0.804447 -0.7 3.2 0.806864 0.806864 0.403432 -0.806864 -0.6 3.2 0.808965 0.808965 0.404482 -0.808965 -0.5 3.2 0.810746 0.810746 0.405373 -0.810746 -0.4 3.2 0.812207 0.812207 0.406104 -0.812207 -0.3 3.2 0.813345 0.813345 0.406672 -0.813345 -0.2 3.2 0.814159 0.814159 0.407079 -0.814159 -0.1 3.2 0.814647 0.814647 0.407324 -0.814647 0 3.2 0.81481 0.81481 0.407405 -0.81481 0.1 3.2 0.814647 0.814647 0.407324 -0.814647 0.2 3.2 0.814159 0.814159 0.407079 -0.814159 0.3 3.2 0.813345 0.813345 0.406672 -0.813345 0.4 3.2 0.812207 0.812207 0.406104 -0.812207 0.5 3.2 0.810746 0.810746 0.405373 -0.810746 0.6 3.2 0.808965 0.808965 0.404482 -0.808965 0.7 3.2 0.806864 0.806864 0.403432 -0.806864 0.8 3.2 0.804447 0.804447 0.402224 -0.804447 0.9 3.2 0.801717 0.801717 0.400858 -0.801717 1 3.2 0.798676 0.798676 0.399338 -0.798676 1.1 3.2 0.795329 0.795329 0.397664 -0.795329 1.2 3.2 0.791678 0.791678 0.395839 -0.791678 1.3 3.2 0.78773 0.78773 0.393865 -0.78773 1.4 3.2 0.783488 0.783488 0.391744 -0.783488 1.5 3.2 0.778957 0.778957 0.389478 -0.778957 1.6 3.2 0.774142 0.774142 0.387071 -0.774142 1.7 3.2 0.769049 0.769049 0.384525 -0.769049 1.8 3.2 0.763685 0.763685 0.381842 -0.763685 1.9 3.2 0.758054 0.758054 0.379027 -0.758054 2 3.2 0.752165 0.752165 0.376082 -0.752165 2.1 3.2 0.746022 0.746022 0.373011 -0.746022 2.2 3.2 0.739634 0.739634 0.369817 -0.739634 2.3 3.2 0.733007 0.733007 0.366504 -0.733007 2.4 3.2 0.726149 0.726149 0.363075 -0.726149 2.5 3.2 0.719068 0.719068 0.359534 -0.719068 2.6 3.2 0.71177 0.71177 0.355885 -0.71177 2.7 3.2 0.704265 0.704265 0.352133 -0.704265 2.8 3.2 0.696561 0.696561 0.34828 -0.696561 2.9 3.2 0.688665 0.688665 0.344333 -0.688665 3 3.2 0.680587 0.680587 0.340293 -0.680587 3.1 3.2 0.672334 0.672334 0.336167 -0.672334 3.2 3.2 0.663916 0.663916 0.331958 -0.663916 3.3 3.2 0.655341 0.655341 0.32767 -0.655341 3.4 3.2 0.646618 0.646618 0.323309 -0.646618 3.5 3.2 0.637756 0.637756 0.318878 -0.637756 3.6 3.2 0.628764 0.628764 0.314382 -0.628764 3.7 3.2 0.61965 0.61965 0.309825 -0.61965 3.8 3.2 0.610425 0.610425 0.305212 -0.610425 3.9 3.2 0.601096 0.601096 0.300548 -0.601096 4 3.2 0.591674 0.591674 0.295837 -0.591674 4.1 3.2 0.582166 0.582166 0.291083 -0.582166 4.2 3.2 0.572582 0.572582 0.286291 -0.572582 4.3 3.2 0.56293 0.56293 0.281465 -0.56293 4.4 3.2 0.55322 0.55322 0.27661 -0.55322 4.5 3.2 0.54346 0.54346 0.27173 -0.54346 4.6 3.2 0.533658 0.533658 0.266829 -0.533658 4.7 3.2 0.523824 0.523824 0.261912 -0.523824 4.8 3.2 0.513965 0.513965 0.256983 -0.513965 4.9 3.2 0.50409 0.50409 0.252045 -0.50409 -5 3.3 0.487824 0.487824 0.243912 -0.487824 -4.9 3.3 0.497579 0.497579 0.24879 -0.497579 -4.8 3.3 0.507327 0.507327 0.253663 -0.507327 -4.7 3.3 0.517058 0.517058 0.258529 -0.517058 -4.6 3.3 0.526765 0.526765 0.263383 -0.526765 -4.5 3.3 0.53644 0.53644 0.26822 -0.53644 -4.4 3.3 0.546074 0.546074 0.273037 -0.546074 -4.3 3.3 0.555659 0.555659 0.27783 -0.555659 -4.2 3.3 0.565186 0.565186 0.282593 -0.565186 -4.1 3.3 0.574647 0.574647 0.287323 -0.574647 -4 3.3 0.584032 0.584032 0.292016 -0.584032 -3.9 3.3 0.593333 0.593333 0.296666 -0.593333 -3.8 3.3 0.602541 0.602541 0.30127 -0.602541 -3.7 3.3 0.611647 0.611647 0.305823 -0.611647 -3.6 3.3 0.620643 0.620643 0.310321 -0.620643 -3.5 3.3 0.629519 0.629519 0.314759 -0.629519 -3.4 3.3 0.638266 0.638266 0.319133 -0.638266 -3.3 3.3 0.646876 0.646876 0.323438 -0.646876 -3.2 3.3 0.655341 0.655341 0.32767 -0.655341 -3.1 3.3 0.66365 0.66365 0.331825 -0.66365 -3 3.3 0.671796 0.671796 0.335898 -0.671796 -2.9 3.3 0.679771 0.679771 0.339885 -0.679771 -2.8 3.3 0.687564 0.687564 0.343782 -0.687564 -2.7 3.3 0.695169 0.695169 0.347585 -0.695169 -2.6 3.3 0.702577 0.702577 0.351289 -0.702577 -2.5 3.3 0.70978 0.70978 0.35489 -0.70978 -2.4 3.3 0.71677 0.71677 0.358385 -0.71677 -2.3 3.3 0.72354 0.72354 0.36177 -0.72354 -2.2 3.3 0.730081 0.730081 0.36504 -0.730081 -2.1 3.3 0.736387 0.736387 0.368193 -0.736387 -2 3.3 0.74245 0.74245 0.371225 -0.74245 -1.9 3.3 0.748264 0.748264 0.374132 -0.748264 -1.8 3.3 0.753821 0.753821 0.376911 -0.753821 -1.7 3.3 0.759117 0.759117 0.379558 -0.759117 -1.6 3.3 0.764143 0.764143 0.382072 -0.764143 -1.5 3.3 0.768896 0.768896 0.384448 -0.768896 -1.4 3.3 0.773368 0.773368 0.386684 -0.773368 -1.3 3.3 0.777556 0.777556 0.388778 -0.777556 -1.2 3.3 0.781453 0.781453 0.390727 -0.781453 -1.1 3.3 0.785056 0.785056 0.392528 -0.785056 -1 3.3 0.78836 0.78836 0.39418 -0.78836 -0.9 3.3 0.791362 0.791362 0.395681 -0.791362 -0.8 3.3 0.794057 0.794057 0.397029 -0.794057 -0.7 3.3 0.796443 0.796443 0.398221 -0.796443 -0.6 3.3 0.798516 0.798516 0.399258 -0.798516 -0.5 3.3 0.800275 0.800275 0.400137 -0.800275 -0.4 3.3 0.801717 0.801717 0.400858 -0.801717 -0.3 3.3 0.80284 0.80284 0.40142 -0.80284 -0.2 3.3 0.803643 0.803643 0.401822 -0.803643 -0.1 3.3 0.804125 0.804125 0.402063 -0.804125 0 3.3 0.804286 0.804286 0.402143 -0.804286 0.1 3.3 0.804125 0.804125 0.402063 -0.804125 0.2 3.3 0.803643 0.803643 0.401822 -0.803643 0.3 3.3 0.80284 0.80284 0.40142 -0.80284 0.4 3.3 0.801717 0.801717 0.400858 -0.801717 0.5 3.3 0.800275 0.800275 0.400137 -0.800275 0.6 3.3 0.798516 0.798516 0.399258 -0.798516 0.7 3.3 0.796443 0.796443 0.398221 -0.796443 0.8 3.3 0.794057 0.794057 0.397029 -0.794057 0.9 3.3 0.791362 0.791362 0.395681 -0.791362 1 3.3 0.78836 0.78836 0.39418 -0.78836 1.1 3.3 0.785056 0.785056 0.392528 -0.785056 1.2 3.3 0.781453 0.781453 0.390727 -0.781453 1.3 3.3 0.777556 0.777556 0.388778 -0.777556 1.4 3.3 0.773368 0.773368 0.386684 -0.773368 1.5 3.3 0.768896 0.768896 0.384448 -0.768896 1.6 3.3 0.764143 0.764143 0.382072 -0.764143 1.7 3.3 0.759117 0.759117 0.379558 -0.759117 1.8 3.3 0.753821 0.753821 0.376911 -0.753821 1.9 3.3 0.748264 0.748264 0.374132 -0.748264 2 3.3 0.74245 0.74245 0.371225 -0.74245 2.1 3.3 0.736387 0.736387 0.368193 -0.736387 2.2 3.3 0.730081 0.730081 0.36504 -0.730081 2.3 3.3 0.72354 0.72354 0.36177 -0.72354 2.4 3.3 0.71677 0.71677 0.358385 -0.71677 2.5 3.3 0.70978 0.70978 0.35489 -0.70978 2.6 3.3 0.702577 0.702577 0.351289 -0.702577 2.7 3.3 0.695169 0.695169 0.347585 -0.695169 2.8 3.3 0.687564 0.687564 0.343782 -0.687564 2.9 3.3 0.679771 0.679771 0.339885 -0.679771 3 3.3 0.671796 0.671796 0.335898 -0.671796 3.1 3.3 0.66365 0.66365 0.331825 -0.66365 3.2 3.3 0.655341 0.655341 0.32767 -0.655341 3.3 3.3 0.646876 0.646876 0.323438 -0.646876 3.4 3.3 0.638266 0.638266 0.319133 -0.638266 3.5 3.3 0.629519 0.629519 0.314759 -0.629519 3.6 3.3 0.620643 0.620643 0.310321 -0.620643 3.7 3.3 0.611647 0.611647 0.305823 -0.611647 3.8 3.3 0.602541 0.602541 0.30127 -0.602541 3.9 3.3 0.593333 0.593333 0.296666 -0.593333 4 3.3 0.584032 0.584032 0.292016 -0.584032 4.1 3.3 0.574647 0.574647 0.287323 -0.574647 4.2 3.3 0.565186 0.565186 0.282593 -0.565186 4.3 3.3 0.555659 0.555659 0.27783 -0.555659 4.4 3.3 0.546074 0.546074 0.273037 -0.546074 4.5 3.3 0.53644 0.53644 0.26822 -0.53644 4.6 3.3 0.526765 0.526765 0.263383 -0.526765 4.7 3.3 0.517058 0.517058 0.258529 -0.517058 4.8 3.3 0.507327 0.507327 0.253663 -0.507327 4.9 3.3 0.497579 0.497579 0.24879 -0.497579 -5 3.4 0.481331 0.481331 0.240666 -0.481331 -4.9 3.4 0.490956 0.490956 0.245478 -0.490956 -4.8 3.4 0.500574 0.500574 0.250287 -0.500574 -4.7 3.4 0.510176 0.510176 0.255088 -0.510176 -4.6 3.4 0.519754 0.519754 0.259877 -0.519754 -4.5 3.4 0.5293 0.5293 0.26465 -0.5293 -4.4 3.4 0.538806 0.538806 0.269403 -0.538806 -4.3 3.4 0.548263 0.548263 0.274132 -0.548263 -4.2 3.4 0.557663 0.557663 0.278832 -0.557663 -4.1 3.4 0.566998 0.566998 0.283499 -0.566998 -4 3.4 0.576258 0.576258 0.288129 -0.576258 -3.9 3.4 0.585435 0.585435 0.292718 -0.585435 -3.8 3.4 0.594521 0.594521 0.29726 -0.594521 -3.7 3.4 0.603506 0.603506 0.301753 -0.603506 -3.6 3.4 0.612381 0.612381 0.306191 -0.612381 -3.5 3.4 0.621139 0.621139 0.31057 -0.621139 -3.4 3.4 0.62977 0.62977 0.314885 -0.62977 -3.3 3.4 0.638266 0.638266 0.319133 -0.638266 -3.2 3.4 0.646618 0.646618 0.323309 -0.646618 -3.1 3.4 0.654817 0.654817 0.327408 -0.654817 -3 3.4 0.662854 0.662854 0.331427 -0.662854 -2.9 3.4 0.670722 0.670722 0.335361 -0.670722 -2.8 3.4 0.678412 0.678412 0.339206 -0.678412 -2.7 3.4 0.685916 0.685916 0.342958 -0.685916 -2.6 3.4 0.693225 0.693225 0.346613 -0.693225 -2.5 3.4 0.700333 0.700333 0.350166 -0.700333 -2.4 3.4 0.70723 0.70723 0.353615 -0.70723 -2.3 3.4 0.713909 0.713909 0.356954 -0.713909 -2.2 3.4 0.720363 0.720363 0.360182 -0.720363 -2.1 3.4 0.726585 0.726585 0.363292 -0.726585 -2 3.4 0.732567 0.732567 0.366284 -0.732567 -1.9 3.4 0.738304 0.738304 0.369152 -0.738304 -1.8 3.4 0.743787 0.743787 0.371894 -0.743787 -1.7 3.4 0.749012 0.749012 0.374506 -0.749012 -1.6 3.4 0.753972 0.753972 0.376986 -0.753972 -1.5 3.4 0.758661 0.758661 0.379331 -0.758661 -1.4 3.4 0.763074 0.763074 0.381537 -0.763074 -1.3 3.4 0.767206 0.767206 0.383603 -0.767206 -1.2 3.4 0.771052 0.771052 0.385526 -0.771052 -1.1 3.4 0.774607 0.774607 0.387303 -0.774607 -1 3.4 0.777867 0.777867 0.388933 -0.777867 -0.9 3.4 0.780828 0.780828 0.390414 -0.780828 -0.8 3.4 0.783488 0.783488 0.391744 -0.783488 -0.7 3.4 0.785842 0.785842 0.392921 -0.785842 -0.6 3.4 0.787887 0.787887 0.393944 -0.787887 -0.5 3.4 0.789623 0.789623 0.394811 -0.789623 -0.4 3.4 0.791045 0.791045 0.395523 -0.791045 -0.3 3.4 0.792154 0.792154 0.396077 -0.792154 -0.2 3.4 0.792946 0.792946 0.396473 -0.792946 -0.1 3.4 0.793422 0.793422 0.396711 -0.793422 0 3.4 0.793581 0.793581 0.39679 -0.793581 0.1 3.4 0.793422 0.793422 0.396711 -0.793422 0.2 3.4 0.792946 0.792946 0.396473 -0.792946 0.3 3.4 0.792154 0.792154 0.396077 -0.792154 0.4 3.4 0.791045 0.791045 0.395523 -0.791045 0.5 3.4 0.789623 0.789623 0.394811 -0.789623 0.6 3.4 0.787887 0.787887 0.393944 -0.787887 0.7 3.4 0.785842 0.785842 0.392921 -0.785842 0.8 3.4 0.783488 0.783488 0.391744 -0.783488 0.9 3.4 0.780828 0.780828 0.390414 -0.780828 1 3.4 0.777867 0.777867 0.388933 -0.777867 1.1 3.4 0.774607 0.774607 0.387303 -0.774607 1.2 3.4 0.771052 0.771052 0.385526 -0.771052 1.3 3.4 0.767206 0.767206 0.383603 -0.767206 1.4 3.4 0.763074 0.763074 0.381537 -0.763074 1.5 3.4 0.758661 0.758661 0.379331 -0.758661 1.6 3.4 0.753972 0.753972 0.376986 -0.753972 1.7 3.4 0.749012 0.749012 0.374506 -0.749012 1.8 3.4 0.743787 0.743787 0.371894 -0.743787 1.9 3.4 0.738304 0.738304 0.369152 -0.738304 2 3.4 0.732567 0.732567 0.366284 -0.732567 2.1 3.4 0.726585 0.726585 0.363292 -0.726585 2.2 3.4 0.720363 0.720363 0.360182 -0.720363 2.3 3.4 0.713909 0.713909 0.356954 -0.713909 2.4 3.4 0.70723 0.70723 0.353615 -0.70723 2.5 3.4 0.700333 0.700333 0.350166 -0.700333 2.6 3.4 0.693225 0.693225 0.346613 -0.693225 2.7 3.4 0.685916 0.685916 0.342958 -0.685916 2.8 3.4 0.678412 0.678412 0.339206 -0.678412 2.9 3.4 0.670722 0.670722 0.335361 -0.670722 3 3.4 0.662854 0.662854 0.331427 -0.662854 3.1 3.4 0.654817 0.654817 0.327408 -0.654817 3.2 3.4 0.646618 0.646618 0.323309 -0.646618 3.3 3.4 0.638266 0.638266 0.319133 -0.638266 3.4 3.4 0.62977 0.62977 0.314885 -0.62977 3.5 3.4 0.621139 0.621139 0.31057 -0.621139 3.6 3.4 0.612381 0.612381 0.306191 -0.612381 3.7 3.4 0.603506 0.603506 0.301753 -0.603506 3.8 3.4 0.594521 0.594521 0.29726 -0.594521 3.9 3.4 0.585435 0.585435 0.292718 -0.585435 4 3.4 0.576258 0.576258 0.288129 -0.576258 4.1 3.4 0.566998 0.566998 0.283499 -0.566998 4.2 3.4 0.557663 0.557663 0.278832 -0.557663 4.3 3.4 0.548263 0.548263 0.274132 -0.548263 4.4 3.4 0.538806 0.538806 0.269403 -0.538806 4.5 3.4 0.5293 0.5293 0.26465 -0.5293 4.6 3.4 0.519754 0.519754 0.259877 -0.519754 4.7 3.4 0.510176 0.510176 0.255088 -0.510176 4.8 3.4 0.500574 0.500574 0.250287 -0.500574 4.9 3.4 0.490956 0.490956 0.245478 -0.490956 -5 3.5 0.474734 0.474734 0.237367 -0.474734 -4.9 3.5 0.484228 0.484228 0.242114 -0.484228 -4.8 3.5 0.493713 0.493713 0.246857 -0.493713 -4.7 3.5 0.503184 0.503184 0.251592 -0.503184 -4.6 3.5 0.51263 0.51263 0.256315 -0.51263 -4.5 3.5 0.522046 0.522046 0.261023 -0.522046 -4.4 3.5 0.531421 0.531421 0.265711 -0.531421 -4.3 3.5 0.540749 0.540749 0.270375 -0.540749 -4.2 3.5 0.55002 0.55002 0.27501 -0.55002 -4.1 3.5 0.559227 0.559227 0.279613 -0.559227 -4 3.5 0.56836 0.56836 0.28418 -0.56836 -3.9 3.5 0.577412 0.577412 0.288706 -0.577412 -3.8 3.5 0.586373 0.586373 0.293186 -0.586373 -3.7 3.5 0.595234 0.595234 0.297617 -0.595234 -3.6 3.5 0.603989 0.603989 0.301994 -0.603989 -3.5 3.5 0.612626 0.612626 0.306313 -0.612626 -3.4 3.5 0.621139 0.621139 0.31057 -0.621139 -3.3 3.5 0.629519 0.629519 0.314759 -0.629519 -3.2 3.5 0.637756 0.637756 0.318878 -0.637756 -3.1 3.5 0.645842 0.645842 0.322921 -0.645842 -3 3.5 0.65377 0.65377 0.326885 -0.65377 -2.9 3.5 0.66153 0.66153 0.330765 -0.66153 -2.8 3.5 0.669115 0.669115 0.334557 -0.669115 -2.7 3.5 0.676515 0.676515 0.338258 -0.676515 -2.6 3.5 0.683725 0.683725 0.341862 -0.683725 -2.5 3.5 0.690734 0.690734 0.345367 -0.690734 -2.4 3.5 0.697537 0.697537 0.348768 -0.697537 -2.3 3.5 0.704125 0.704125 0.352062 -0.704125 -2.2 3.5 0.71049 0.71049 0.355245 -0.71049 -2.1 3.5 0.716627 0.716627 0.358313 -0.716627 -2 3.5 0.722527 0.722527 0.361264 -0.722527 -1.9 3.5 0.728185 0.728185 0.364093 -0.728185 -1.8 3.5 0.733594 0.733594 0.366797 -0.733594 -1.7 3.5 0.738747 0.738747 0.369373 -0.738747 -1.6 3.5 0.743639 0.743639 0.371819 -0.743639 -1.5 3.5 0.748264 0.748264 0.374132 -0.748264 -1.4 3.5 0.752616 0.752616 0.376308 -0.752616 -1.3 3.5 0.756691 0.756691 0.378346 -0.756691 -1.2 3.5 0.760484 0.760484 0.380242 -0.760484 -1.1 3.5 0.76399 0.76399 0.381995 -0.76399 -1 3.5 0.767206 0.767206 0.383603 -0.767206 -0.9 3.5 0.770127 0.770127 0.385063 -0.770127 -0.8 3.5 0.77275 0.77275 0.386375 -0.77275 -0.7 3.5 0.775071 0.775071 0.387536 -0.775071 -0.6 3.5 0.777089 0.777089 0.388545 -0.777089 -0.5 3.5 0.778801 0.778801 0.3894 -0.778801 -0.4 3.5 0.780204 0.780204 0.390102 -0.780204 -0.3 3.5 0.781297 0.781297 0.390648 -0.781297 -0.2 3.5 0.782079 0.782079 0.391039 -0.782079 -0.1 3.5 0.782548 0.782548 0.391274 -0.782548 0 3.5 0.782705 0.782705 0.391352 -0.782705 0.1 3.5 0.782548 0.782548 0.391274 -0.782548 0.2 3.5 0.782079 0.782079 0.391039 -0.782079 0.3 3.5 0.781297 0.781297 0.390648 -0.781297 0.4 3.5 0.780204 0.780204 0.390102 -0.780204 0.5 3.5 0.778801 0.778801 0.3894 -0.778801 0.6 3.5 0.777089 0.777089 0.388545 -0.777089 0.7 3.5 0.775071 0.775071 0.387536 -0.775071 0.8 3.5 0.77275 0.77275 0.386375 -0.77275 0.9 3.5 0.770127 0.770127 0.385063 -0.770127 1 3.5 0.767206 0.767206 0.383603 -0.767206 1.1 3.5 0.76399 0.76399 0.381995 -0.76399 1.2 3.5 0.760484 0.760484 0.380242 -0.760484 1.3 3.5 0.756691 0.756691 0.378346 -0.756691 1.4 3.5 0.752616 0.752616 0.376308 -0.752616 1.5 3.5 0.748264 0.748264 0.374132 -0.748264 1.6 3.5 0.743639 0.743639 0.371819 -0.743639 1.7 3.5 0.738747 0.738747 0.369373 -0.738747 1.8 3.5 0.733594 0.733594 0.366797 -0.733594 1.9 3.5 0.728185 0.728185 0.364093 -0.728185 2 3.5 0.722527 0.722527 0.361264 -0.722527 2.1 3.5 0.716627 0.716627 0.358313 -0.716627 2.2 3.5 0.71049 0.71049 0.355245 -0.71049 2.3 3.5 0.704125 0.704125 0.352062 -0.704125 2.4 3.5 0.697537 0.697537 0.348768 -0.697537 2.5 3.5 0.690734 0.690734 0.345367 -0.690734 2.6 3.5 0.683725 0.683725 0.341862 -0.683725 2.7 3.5 0.676515 0.676515 0.338258 -0.676515 2.8 3.5 0.669115 0.669115 0.334557 -0.669115 2.9 3.5 0.66153 0.66153 0.330765 -0.66153 3 3.5 0.65377 0.65377 0.326885 -0.65377 3.1 3.5 0.645842 0.645842 0.322921 -0.645842 3.2 3.5 0.637756 0.637756 0.318878 -0.637756 3.3 3.5 0.629519 0.629519 0.314759 -0.629519 3.4 3.5 0.621139 0.621139 0.31057 -0.621139 3.5 3.5 0.612626 0.612626 0.306313 -0.612626 3.6 3.5 0.603989 0.603989 0.301994 -0.603989 3.7 3.5 0.595234 0.595234 0.297617 -0.595234 3.8 3.5 0.586373 0.586373 0.293186 -0.586373 3.9 3.5 0.577412 0.577412 0.288706 -0.577412 4 3.5 0.56836 0.56836 0.28418 -0.56836 4.1 3.5 0.559227 0.559227 0.279613 -0.559227 4.2 3.5 0.55002 0.55002 0.27501 -0.55002 4.3 3.5 0.540749 0.540749 0.270375 -0.540749 4.4 3.5 0.531421 0.531421 0.265711 -0.531421 4.5 3.5 0.522046 0.522046 0.261023 -0.522046 4.6 3.5 0.51263 0.51263 0.256315 -0.51263 4.7 3.5 0.503184 0.503184 0.251592 -0.503184 4.8 3.5 0.493713 0.493713 0.246857 -0.493713 4.9 3.5 0.484228 0.484228 0.242114 -0.484228 -5 3.6 0.468041 0.468041 0.23402 -0.468041 -4.9 3.6 0.4774 0.4774 0.2387 -0.4774 -4.8 3.6 0.486752 0.486752 0.243376 -0.486752 -4.7 3.6 0.496089 0.496089 0.248044 -0.496089 -4.6 3.6 0.505403 0.505403 0.252701 -0.505403 -4.5 3.6 0.514685 0.514685 0.257343 -0.514685 -4.4 3.6 0.523929 0.523929 0.261964 -0.523929 -4.3 3.6 0.533125 0.533125 0.266562 -0.533125 -4.2 3.6 0.542265 0.542265 0.271133 -0.542265 -4.1 3.6 0.551342 0.551342 0.275671 -0.551342 -4 3.6 0.560346 0.560346 0.280173 -0.560346 -3.9 3.6 0.56927 0.56927 0.284635 -0.56927 -3.8 3.6 0.578105 0.578105 0.289052 -0.578105 -3.7 3.6 0.586842 0.586842 0.293421 -0.586842 -3.6 3.6 0.595473 0.595473 0.297736 -0.595473 -3.5 3.6 0.603989 0.603989 0.301994 -0.603989 -3.4 3.6 0.612381 0.612381 0.306191 -0.612381 -3.3 3.6 0.620643 0.620643 0.310321 -0.620643 -3.2 3.6 0.628764 0.628764 0.314382 -0.628764 -3.1 3.6 0.636736 0.636736 0.318368 -0.636736 -3 3.6 0.644552 0.644552 0.322276 -0.644552 -2.9 3.6 0.652203 0.652203 0.326101 -0.652203 -2.8 3.6 0.65968 0.65968 0.32984 -0.65968 -2.7 3.6 0.666977 0.666977 0.333488 -0.666977 -2.6 3.6 0.674084 0.674084 0.337042 -0.674084 -2.5 3.6 0.680995 0.680995 0.340498 -0.680995 -2.4 3.6 0.687702 0.687702 0.343851 -0.687702 -2.3 3.6 0.694197 0.694197 0.347098 -0.694197 -2.2 3.6 0.700473 0.700473 0.350236 -0.700473 -2.1 3.6 0.706523 0.706523 0.353261 -0.706523 -2 3.6 0.71234 0.71234 0.35617 -0.71234 -1.9 3.6 0.717918 0.717918 0.358959 -0.717918 -1.8 3.6 0.72325 0.72325 0.361625 -0.72325 -1.7 3.6 0.728331 0.728331 0.364165 -0.728331 -1.6 3.6 0.733154 0.733154 0.366577 -0.733154 -1.5 3.6 0.737713 0.737713 0.368857 -0.737713 -1.4 3.6 0.742004 0.742004 0.371002 -0.742004 -1.3 3.6 0.746022 0.746022 0.373011 -0.746022 -1.2 3.6 0.749762 0.749762 0.374881 -0.749762 -1.1 3.6 0.753218 0.753218 0.376609 -0.753218 -1 3.6 0.756389 0.756389 0.378194 -0.756389 -0.9 3.6 0.759268 0.759268 0.379634 -0.759268 -0.8 3.6 0.761854 0.761854 0.380927 -0.761854 -0.7 3.6 0.764143 0.764143 0.382072 -0.764143 -0.6 3.6 0.766133 0.766133 0.383066 -0.766133 -0.5 3.6 0.76782 0.76782 0.38391 -0.76782 -0.4 3.6 0.769203 0.769203 0.384602 -0.769203 -0.3 3.6 0.770281 0.770281 0.38514 -0.770281 -0.2 3.6 0.771052 0.771052 0.385526 -0.771052 -0.1 3.6 0.771514 0.771514 0.385757 -0.771514 0 3.6 0.771669 0.771669 0.385834 -0.771669 0.1 3.6 0.771514 0.771514 0.385757 -0.771514 0.2 3.6 0.771052 0.771052 0.385526 -0.771052 0.3 3.6 0.770281 0.770281 0.38514 -0.770281 0.4 3.6 0.769203 0.769203 0.384602 -0.769203 0.5 3.6 0.76782 0.76782 0.38391 -0.76782 0.6 3.6 0.766133 0.766133 0.383066 -0.766133 0.7 3.6 0.764143 0.764143 0.382072 -0.764143 0.8 3.6 0.761854 0.761854 0.380927 -0.761854 0.9 3.6 0.759268 0.759268 0.379634 -0.759268 1 3.6 0.756389 0.756389 0.378194 -0.756389 1.1 3.6 0.753218 0.753218 0.376609 -0.753218 1.2 3.6 0.749762 0.749762 0.374881 -0.749762 1.3 3.6 0.746022 0.746022 0.373011 -0.746022 1.4 3.6 0.742004 0.742004 0.371002 -0.742004 1.5 3.6 0.737713 0.737713 0.368857 -0.737713 1.6 3.6 0.733154 0.733154 0.366577 -0.733154 1.7 3.6 0.728331 0.728331 0.364165 -0.728331 1.8 3.6 0.72325 0.72325 0.361625 -0.72325 1.9 3.6 0.717918 0.717918 0.358959 -0.717918 2 3.6 0.71234 0.71234 0.35617 -0.71234 2.1 3.6 0.706523 0.706523 0.353261 -0.706523 2.2 3.6 0.700473 0.700473 0.350236 -0.700473 2.3 3.6 0.694197 0.694197 0.347098 -0.694197 2.4 3.6 0.687702 0.687702 0.343851 -0.687702 2.5 3.6 0.680995 0.680995 0.340498 -0.680995 2.6 3.6 0.674084 0.674084 0.337042 -0.674084 2.7 3.6 0.666977 0.666977 0.333488 -0.666977 2.8 3.6 0.65968 0.65968 0.32984 -0.65968 2.9 3.6 0.652203 0.652203 0.326101 -0.652203 3 3.6 0.644552 0.644552 0.322276 -0.644552 3.1 3.6 0.636736 0.636736 0.318368 -0.636736 3.2 3.6 0.628764 0.628764 0.314382 -0.628764 3.3 3.6 0.620643 0.620643 0.310321 -0.620643 3.4 3.6 0.612381 0.612381 0.306191 -0.612381 3.5 3.6 0.603989 0.603989 0.301994 -0.603989 3.6 3.6 0.595473 0.595473 0.297736 -0.595473 3.7 3.6 0.586842 0.586842 0.293421 -0.586842 3.8 3.6 0.578105 0.578105 0.289052 -0.578105 3.9 3.6 0.56927 0.56927 0.284635 -0.56927 4 3.6 0.560346 0.560346 0.280173 -0.560346 4.1 3.6 0.551342 0.551342 0.275671 -0.551342 4.2 3.6 0.542265 0.542265 0.271133 -0.542265 4.3 3.6 0.533125 0.533125 0.266562 -0.533125 4.4 3.6 0.523929 0.523929 0.261964 -0.523929 4.5 3.6 0.514685 0.514685 0.257343 -0.514685 4.6 3.6 0.505403 0.505403 0.252701 -0.505403 4.7 3.6 0.496089 0.496089 0.248044 -0.496089 4.8 3.6 0.486752 0.486752 0.243376 -0.486752 4.9 3.6 0.4774 0.4774 0.2387 -0.4774 -5 3.7 0.461257 0.461257 0.230628 -0.461257 -4.9 3.7 0.470481 0.470481 0.23524 -0.470481 -4.8 3.7 0.479697 0.479697 0.239849 -0.479697 -4.7 3.7 0.488899 0.488899 0.244449 -0.488899 -4.6 3.7 0.498077 0.498077 0.249039 -0.498077 -4.5 3.7 0.507225 0.507225 0.253613 -0.507225 -4.4 3.7 0.516335 0.516335 0.258167 -0.516335 -4.3 3.7 0.525398 0.525398 0.262699 -0.525398 -4.2 3.7 0.534406 0.534406 0.267203 -0.534406 -4.1 3.7 0.543351 0.543351 0.271675 -0.543351 -4 3.7 0.552225 0.552225 0.276112 -0.552225 -3.9 3.7 0.561019 0.561019 0.28051 -0.561019 -3.8 3.7 0.569726 0.569726 0.284863 -0.569726 -3.7 3.7 0.578336 0.578336 0.289168 -0.578336 -3.6 3.7 0.586842 0.586842 0.293421 -0.586842 -3.5 3.7 0.595234 0.595234 0.297617 -0.595234 -3.4 3.7 0.603506 0.603506 0.301753 -0.603506 -3.3 3.7 0.611647 0.611647 0.305823 -0.611647 -3.2 3.7 0.61965 0.61965 0.309825 -0.61965 -3.1 3.7 0.627507 0.627507 0.313754 -0.627507 -3 3.7 0.63521 0.63521 0.317605 -0.63521 -2.9 3.7 0.64275 0.64275 0.321375 -0.64275 -2.8 3.7 0.650119 0.650119 0.325059 -0.650119 -2.7 3.7 0.65731 0.65731 0.328655 -0.65731 -2.6 3.7 0.664314 0.664314 0.332157 -0.664314 -2.5 3.7 0.671125 0.671125 0.335562 -0.671125 -2.4 3.7 0.677734 0.677734 0.338867 -0.677734 -2.3 3.7 0.684135 0.684135 0.342068 -0.684135 -2.2 3.7 0.69032 0.69032 0.34516 -0.69032 -2.1 3.7 0.696282 0.696282 0.348141 -0.696282 -2 3.7 0.702015 0.702015 0.351008 -0.702015 -1.9 3.7 0.707512 0.707512 0.353756 -0.707512 -1.8 3.7 0.712767 0.712767 0.356384 -0.712767 -1.7 3.7 0.717774 0.717774 0.358887 -0.717774 -1.6 3.7 0.722527 0.722527 0.361264 -0.722527 -1.5 3.7 0.727021 0.727021 0.36351 -0.727021 -1.4 3.7 0.73125 0.73125 0.365625 -0.73125 -1.3 3.7 0.735209 0.735209 0.367605 -0.735209 -1.2 3.7 0.738895 0.738895 0.369447 -0.738895 -1.1 3.7 0.742301 0.742301 0.371151 -0.742301 -1 3.7 0.745426 0.745426 0.372713 -0.745426 -0.9 3.7 0.748264 0.748264 0.374132 -0.748264 -0.8 3.7 0.750812 0.750812 0.375406 -0.750812 -0.7 3.7 0.753068 0.753068 0.376534 -0.753068 -0.6 3.7 0.755028 0.755028 0.377514 -0.755028 -0.5 3.7 0.756691 0.756691 0.378346 -0.756691 -0.4 3.7 0.758054 0.758054 0.379027 -0.758054 -0.3 3.7 0.759117 0.759117 0.379558 -0.759117 -0.2 3.7 0.759876 0.759876 0.379938 -0.759876 -0.1 3.7 0.760332 0.760332 0.380166 -0.760332 0 3.7 0.760484 0.760484 0.380242 -0.760484 0.1 3.7 0.760332 0.760332 0.380166 -0.760332 0.2 3.7 0.759876 0.759876 0.379938 -0.759876 0.3 3.7 0.759117 0.759117 0.379558 -0.759117 0.4 3.7 0.758054 0.758054 0.379027 -0.758054 0.5 3.7 0.756691 0.756691 0.378346 -0.756691 0.6 3.7 0.755028 0.755028 0.377514 -0.755028 0.7 3.7 0.753068 0.753068 0.376534 -0.753068 0.8 3.7 0.750812 0.750812 0.375406 -0.750812 0.9 3.7 0.748264 0.748264 0.374132 -0.748264 1 3.7 0.745426 0.745426 0.372713 -0.745426 1.1 3.7 0.742301 0.742301 0.371151 -0.742301 1.2 3.7 0.738895 0.738895 0.369447 -0.738895 1.3 3.7 0.735209 0.735209 0.367605 -0.735209 1.4 3.7 0.73125 0.73125 0.365625 -0.73125 1.5 3.7 0.727021 0.727021 0.36351 -0.727021 1.6 3.7 0.722527 0.722527 0.361264 -0.722527 1.7 3.7 0.717774 0.717774 0.358887 -0.717774 1.8 3.7 0.712767 0.712767 0.356384 -0.712767 1.9 3.7 0.707512 0.707512 0.353756 -0.707512 2 3.7 0.702015 0.702015 0.351008 -0.702015 2.1 3.7 0.696282 0.696282 0.348141 -0.696282 2.2 3.7 0.69032 0.69032 0.34516 -0.69032 2.3 3.7 0.684135 0.684135 0.342068 -0.684135 2.4 3.7 0.677734 0.677734 0.338867 -0.677734 2.5 3.7 0.671125 0.671125 0.335562 -0.671125 2.6 3.7 0.664314 0.664314 0.332157 -0.664314 2.7 3.7 0.65731 0.65731 0.328655 -0.65731 2.8 3.7 0.650119 0.650119 0.325059 -0.650119 2.9 3.7 0.64275 0.64275 0.321375 -0.64275 3 3.7 0.63521 0.63521 0.317605 -0.63521 3.1 3.7 0.627507 0.627507 0.313754 -0.627507 3.2 3.7 0.61965 0.61965 0.309825 -0.61965 3.3 3.7 0.611647 0.611647 0.305823 -0.611647 3.4 3.7 0.603506 0.603506 0.301753 -0.603506 3.5 3.7 0.595234 0.595234 0.297617 -0.595234 3.6 3.7 0.586842 0.586842 0.293421 -0.586842 3.7 3.7 0.578336 0.578336 0.289168 -0.578336 3.8 3.7 0.569726 0.569726 0.284863 -0.569726 3.9 3.7 0.561019 0.561019 0.28051 -0.561019 4 3.7 0.552225 0.552225 0.276112 -0.552225 4.1 3.7 0.543351 0.543351 0.271675 -0.543351 4.2 3.7 0.534406 0.534406 0.267203 -0.534406 4.3 3.7 0.525398 0.525398 0.262699 -0.525398 4.4 3.7 0.516335 0.516335 0.258167 -0.516335 4.5 3.7 0.507225 0.507225 0.253613 -0.507225 4.6 3.7 0.498077 0.498077 0.249039 -0.498077 4.7 3.7 0.488899 0.488899 0.244449 -0.488899 4.8 3.7 0.479697 0.479697 0.239849 -0.479697 4.9 3.7 0.470481 0.470481 0.23524 -0.470481 -5 3.8 0.45439 0.45439 0.227195 -0.45439 -4.9 3.8 0.463476 0.463476 0.231738 -0.463476 -4.8 3.8 0.472556 0.472556 0.236278 -0.472556 -4.7 3.8 0.48162 0.48162 0.24081 -0.48162 -4.6 3.8 0.490662 0.490662 0.245331 -0.490662 -4.5 3.8 0.499674 0.499674 0.249837 -0.499674 -4.4 3.8 0.508648 0.508648 0.254324 -0.508648 -4.3 3.8 0.517575 0.517575 0.258788 -0.517575 -4.2 3.8 0.526449 0.526449 0.263225 -0.526449 -4.1 3.8 0.535261 0.535261 0.267631 -0.535261 -4 3.8 0.544003 0.544003 0.272002 -0.544003 -3.9 3.8 0.552667 0.552667 0.276333 -0.552667 -3.8 3.8 0.561244 0.561244 0.280622 -0.561244 -3.7 3.8 0.569726 0.569726 0.284863 -0.569726 -3.6 3.8 0.578105 0.578105 0.289052 -0.578105 -3.5 3.8 0.586373 0.586373 0.293186 -0.586373 -3.4 3.8 0.594521 0.594521 0.29726 -0.594521 -3.3 3.8 0.602541 0.602541 0.30127 -0.602541 -3.2 3.8 0.610425 0.610425 0.305212 -0.610425 -3.1 3.8 0.618165 0.618165 0.309082 -0.618165 -3 3.8 0.625753 0.625753 0.312876 -0.625753 -2.9 3.8 0.63318 0.63318 0.31659 -0.63318 -2.8 3.8 0.64044 0.64044 0.32022 -0.64044 -2.7 3.8 0.647524 0.647524 0.323762 -0.647524 -2.6 3.8 0.654424 0.654424 0.327212 -0.654424 -2.5 3.8 0.661133 0.661133 0.330567 -0.661133 -2.4 3.8 0.667644 0.667644 0.333822 -0.667644 -2.3 3.8 0.67395 0.67395 0.336975 -0.67395 -2.2 3.8 0.680042 0.680042 0.340021 -0.680042 -2.1 3.8 0.685916 0.685916 0.342958 -0.685916 -2 3.8 0.691564 0.691564 0.345782 -0.691564 -1.9 3.8 0.696979 0.696979 0.348489 -0.696979 -1.8 3.8 0.702156 0.702156 0.351078 -0.702156 -1.7 3.8 0.707088 0.707088 0.353544 -0.707088 -1.6 3.8 0.71177 0.71177 0.355885 -0.71177 -1.5 3.8 0.716197 0.716197 0.358099 -0.716197 -1.4 3.8 0.720363 0.720363 0.360182 -0.720363 -1.3 3.8 0.724264 0.724264 0.362132 -0.724264 -1.2 3.8 0.727894 0.727894 0.363947 -0.727894 -1.1 3.8 0.73125 0.73125 0.365625 -0.73125 -1 3.8 0.734328 0.734328 0.367164 -0.734328 -0.9 3.8 0.737123 0.737123 0.368562 -0.737123 -0.8 3.8 0.739634 0.739634 0.369817 -0.739634 -0.7 3.8 0.741856 0.741856 0.370928 -0.741856 -0.6 3.8 0.743787 0.743787 0.371894 -0.743787 -0.5 3.8 0.745426 0.745426 0.372713 -0.745426 -0.4 3.8 0.746769 0.746769 0.373384 -0.746769 -0.3 3.8 0.747815 0.747815 0.373907 -0.747815 -0.2 3.8 0.748563 0.748563 0.374281 -0.748563 -0.1 3.8 0.749012 0.749012 0.374506 -0.749012 0 3.8 0.749162 0.749162 0.374581 -0.749162 0.1 3.8 0.749012 0.749012 0.374506 -0.749012 0.2 3.8 0.748563 0.748563 0.374281 -0.748563 0.3 3.8 0.747815 0.747815 0.373907 -0.747815 0.4 3.8 0.746769 0.746769 0.373384 -0.746769 0.5 3.8 0.745426 0.745426 0.372713 -0.745426 0.6 3.8 0.743787 0.743787 0.371894 -0.743787 0.7 3.8 0.741856 0.741856 0.370928 -0.741856 0.8 3.8 0.739634 0.739634 0.369817 -0.739634 0.9 3.8 0.737123 0.737123 0.368562 -0.737123 1 3.8 0.734328 0.734328 0.367164 -0.734328 1.1 3.8 0.73125 0.73125 0.365625 -0.73125 1.2 3.8 0.727894 0.727894 0.363947 -0.727894 1.3 3.8 0.724264 0.724264 0.362132 -0.724264 1.4 3.8 0.720363 0.720363 0.360182 -0.720363 1.5 3.8 0.716197 0.716197 0.358099 -0.716197 1.6 3.8 0.71177 0.71177 0.355885 -0.71177 1.7 3.8 0.707088 0.707088 0.353544 -0.707088 1.8 3.8 0.702156 0.702156 0.351078 -0.702156 1.9 3.8 0.696979 0.696979 0.348489 -0.696979 2 3.8 0.691564 0.691564 0.345782 -0.691564 2.1 3.8 0.685916 0.685916 0.342958 -0.685916 2.2 3.8 0.680042 0.680042 0.340021 -0.680042 2.3 3.8 0.67395 0.67395 0.336975 -0.67395 2.4 3.8 0.667644 0.667644 0.333822 -0.667644 2.5 3.8 0.661133 0.661133 0.330567 -0.661133 2.6 3.8 0.654424 0.654424 0.327212 -0.654424 2.7 3.8 0.647524 0.647524 0.323762 -0.647524 2.8 3.8 0.64044 0.64044 0.32022 -0.64044 2.9 3.8 0.63318 0.63318 0.31659 -0.63318 3 3.8 0.625753 0.625753 0.312876 -0.625753 3.1 3.8 0.618165 0.618165 0.309082 -0.618165 3.2 3.8 0.610425 0.610425 0.305212 -0.610425 3.3 3.8 0.602541 0.602541 0.30127 -0.602541 3.4 3.8 0.594521 0.594521 0.29726 -0.594521 3.5 3.8 0.586373 0.586373 0.293186 -0.586373 3.6 3.8 0.578105 0.578105 0.289052 -0.578105 3.7 3.8 0.569726 0.569726 0.284863 -0.569726 3.8 3.8 0.561244 0.561244 0.280622 -0.561244 3.9 3.8 0.552667 0.552667 0.276333 -0.552667 4 3.8 0.544003 0.544003 0.272002 -0.544003 4.1 3.8 0.535261 0.535261 0.267631 -0.535261 4.2 3.8 0.526449 0.526449 0.263225 -0.526449 4.3 3.8 0.517575 0.517575 0.258788 -0.517575 4.4 3.8 0.508648 0.508648 0.254324 -0.508648 4.5 3.8 0.499674 0.499674 0.249837 -0.499674 4.6 3.8 0.490662 0.490662 0.245331 -0.490662 4.7 3.8 0.48162 0.48162 0.24081 -0.48162 4.8 3.8 0.472556 0.472556 0.236278 -0.472556 4.9 3.8 0.463476 0.463476 0.231738 -0.463476 -5 3.9 0.447446 0.447446 0.223723 -0.447446 -4.9 3.9 0.456393 0.456393 0.228197 -0.456393 -4.8 3.9 0.465334 0.465334 0.232667 -0.465334 -4.7 3.9 0.47426 0.47426 0.23713 -0.47426 -4.6 3.9 0.483164 0.483164 0.241582 -0.483164 -4.5 3.9 0.492038 0.492038 0.246019 -0.492038 -4.4 3.9 0.500874 0.500874 0.250437 -0.500874 -4.3 3.9 0.509666 0.509666 0.254833 -0.509666 -4.2 3.9 0.518404 0.518404 0.259202 -0.518404 -4.1 3.9 0.527082 0.527082 0.263541 -0.527082 -4 3.9 0.53569 0.53569 0.267845 -0.53569 -3.9 3.9 0.544221 0.544221 0.27211 -0.544221 -3.8 3.9 0.552667 0.552667 0.276333 -0.552667 -3.7 3.9 0.561019 0.561019 0.28051 -0.561019 -3.6 3.9 0.56927 0.56927 0.284635 -0.56927 -3.5 3.9 0.577412 0.577412 0.288706 -0.577412 -3.4 3.9 0.585435 0.585435 0.292718 -0.585435 -3.3 3.9 0.593333 0.593333 0.296666 -0.593333 -3.2 3.9 0.601096 0.601096 0.300548 -0.601096 -3.1 3.9 0.608718 0.608718 0.304359 -0.608718 -3 3.9 0.61619 0.61619 0.308095 -0.61619 -2.9 3.9 0.623504 0.623504 0.311752 -0.623504 -2.8 3.9 0.630653 0.630653 0.315326 -0.630653 -2.7 3.9 0.637628 0.637628 0.318814 -0.637628 -2.6 3.9 0.644423 0.644423 0.322211 -0.644423 -2.5 3.9 0.65103 0.65103 0.325515 -0.65103 -2.4 3.9 0.657441 0.657441 0.328721 -0.657441 -2.3 3.9 0.66365 0.66365 0.331825 -0.66365 -2.2 3.9 0.66965 0.66965 0.334825 -0.66965 -2.1 3.9 0.675434 0.675434 0.337717 -0.675434 -2 3.9 0.680995 0.680995 0.340498 -0.680995 -1.9 3.9 0.686328 0.686328 0.343164 -0.686328 -1.8 3.9 0.691425 0.691425 0.345713 -0.691425 -1.7 3.9 0.696282 0.696282 0.348141 -0.696282 -1.6 3.9 0.700893 0.700893 0.350447 -0.700893 -1.5 3.9 0.705252 0.705252 0.352626 -0.705252 -1.4 3.9 0.709354 0.709354 0.354677 -0.709354 -1.3 3.9 0.713195 0.713195 0.356598 -0.713195 -1.2 3.9 0.71677 0.71677 0.358385 -0.71677 -1.1 3.9 0.720075 0.720075 0.360037 -0.720075 -1 3.9 0.723106 0.723106 0.361553 -0.723106 -0.9 3.9 0.725859 0.725859 0.362929 -0.725859 -0.8 3.9 0.728331 0.728331 0.364165 -0.728331 -0.7 3.9 0.730519 0.730519 0.36526 -0.730519 -0.6 3.9 0.732421 0.732421 0.36621 -0.732421 -0.5 3.9 0.734034 0.734034 0.367017 -0.734034 -0.4 3.9 0.735356 0.735356 0.367678 -0.735356 -0.3 3.9 0.736387 0.736387 0.368193 -0.736387 -0.2 3.9 0.737123 0.737123 0.368562 -0.737123 -0.1 3.9 0.737566 0.737566 0.368783 -0.737566 0 3.9 0.737713 0.737713 0.368857 -0.737713 0.1 3.9 0.737566 0.737566 0.368783 -0.737566 0.2 3.9 0.737123 0.737123 0.368562 -0.737123 0.3 3.9 0.736387 0.736387 0.368193 -0.736387 0.4 3.9 0.735356 0.735356 0.367678 -0.735356 0.5 3.9 0.734034 0.734034 0.367017 -0.734034 0.6 3.9 0.732421 0.732421 0.36621 -0.732421 0.7 3.9 0.730519 0.730519 0.36526 -0.730519 0.8 3.9 0.728331 0.728331 0.364165 -0.728331 0.9 3.9 0.725859 0.725859 0.362929 -0.725859 1 3.9 0.723106 0.723106 0.361553 -0.723106 1.1 3.9 0.720075 0.720075 0.360037 -0.720075 1.2 3.9 0.71677 0.71677 0.358385 -0.71677 1.3 3.9 0.713195 0.713195 0.356598 -0.713195 1.4 3.9 0.709354 0.709354 0.354677 -0.709354 1.5 3.9 0.705252 0.705252 0.352626 -0.705252 1.6 3.9 0.700893 0.700893 0.350447 -0.700893 1.7 3.9 0.696282 0.696282 0.348141 -0.696282 1.8 3.9 0.691425 0.691425 0.345713 -0.691425 1.9 3.9 0.686328 0.686328 0.343164 -0.686328 2 3.9 0.680995 0.680995 0.340498 -0.680995 2.1 3.9 0.675434 0.675434 0.337717 -0.675434 2.2 3.9 0.66965 0.66965 0.334825 -0.66965 2.3 3.9 0.66365 0.66365 0.331825 -0.66365 2.4 3.9 0.657441 0.657441 0.328721 -0.657441 2.5 3.9 0.65103 0.65103 0.325515 -0.65103 2.6 3.9 0.644423 0.644423 0.322211 -0.644423 2.7 3.9 0.637628 0.637628 0.318814 -0.637628 2.8 3.9 0.630653 0.630653 0.315326 -0.630653 2.9 3.9 0.623504 0.623504 0.311752 -0.623504 3 3.9 0.61619 0.61619 0.308095 -0.61619 3.1 3.9 0.608718 0.608718 0.304359 -0.608718 3.2 3.9 0.601096 0.601096 0.300548 -0.601096 3.3 3.9 0.593333 0.593333 0.296666 -0.593333 3.4 3.9 0.585435 0.585435 0.292718 -0.585435 3.5 3.9 0.577412 0.577412 0.288706 -0.577412 3.6 3.9 0.56927 0.56927 0.284635 -0.56927 3.7 3.9 0.561019 0.561019 0.28051 -0.561019 3.8 3.9 0.552667 0.552667 0.276333 -0.552667 3.9 3.9 0.544221 0.544221 0.27211 -0.544221 4 3.9 0.53569 0.53569 0.267845 -0.53569 4.1 3.9 0.527082 0.527082 0.263541 -0.527082 4.2 3.9 0.518404 0.518404 0.259202 -0.518404 4.3 3.9 0.509666 0.509666 0.254833 -0.509666 4.4 3.9 0.500874 0.500874 0.250437 -0.500874 4.5 3.9 0.492038 0.492038 0.246019 -0.492038 4.6 3.9 0.483164 0.483164 0.241582 -0.483164 4.7 3.9 0.47426 0.47426 0.23713 -0.47426 4.8 3.9 0.465334 0.465334 0.232667 -0.465334 4.9 3.9 0.456393 0.456393 0.228197 -0.456393 -5 4 0.440432 0.440432 0.220216 -0.440432 -4.9 4 0.449239 0.449239 0.22462 -0.449239 -4.8 4 0.458039 0.458039 0.22902 -0.458039 -4.7 4 0.466825 0.466825 0.233413 -0.466825 -4.6 4 0.47559 0.47559 0.237795 -0.47559 -4.5 4 0.484325 0.484325 0.242162 -0.484325 -4.4 4 0.493023 0.493023 0.246511 -0.493023 -4.3 4 0.501676 0.501676 0.250838 -0.501676 -4.2 4 0.510278 0.510278 0.255139 -0.510278 -4.1 4 0.518819 0.518819 0.25941 -0.518819 -4 4 0.527292 0.527292 0.263646 -0.527292 -3.9 4 0.53569 0.53569 0.267845 -0.53569 -3.8 4 0.544003 0.544003 0.272002 -0.544003 -3.7 4 0.552225 0.552225 0.276112 -0.552225 -3.6 4 0.560346 0.560346 0.280173 -0.560346 -3.5 4 0.56836 0.56836 0.28418 -0.56836 -3.4 4 0.576258 0.576258 0.288129 -0.576258 -3.3 4 0.584032 0.584032 0.292016 -0.584032 -3.2 4 0.591674 0.591674 0.295837 -0.591674 -3.1 4 0.599176 0.599176 0.299588 -0.599176 -3 4 0.606531 0.606531 0.303265 -0.606531 -2.9 4 0.61373 0.61373 0.306865 -0.61373 -2.8 4 0.620767 0.620767 0.310383 -0.620767 -2.7 4 0.627633 0.627633 0.313816 -0.627633 -2.6 4 0.634321 0.634321 0.317161 -0.634321 -2.5 4 0.640824 0.640824 0.320412 -0.640824 -2.4 4 0.647135 0.647135 0.323568 -0.647135 -2.3 4 0.653247 0.653247 0.326623 -0.653247 -2.2 4 0.659153 0.659153 0.329576 -0.659153 -2.1 4 0.664846 0.664846 0.332423 -0.664846 -2 4 0.67032 0.67032 0.33516 -0.67032 -1.9 4 0.675569 0.675569 0.337784 -0.675569 -1.8 4 0.680587 0.680587 0.340293 -0.680587 -1.7 4 0.685368 0.685368 0.342684 -0.685368 -1.6 4 0.689906 0.689906 0.344953 -0.689906 -1.5 4 0.694197 0.694197 0.347098 -0.694197 -1.4 4 0.698235 0.698235 0.349117 -0.698235 -1.3 4 0.702015 0.702015 0.351008 -0.702015 -1.2 4 0.705534 0.705534 0.352767 -0.705534 -1.1 4 0.708787 0.708787 0.354394 -0.708787 -1 4 0.71177 0.71177 0.355885 -0.71177 -0.9 4 0.71448 0.71448 0.35724 -0.71448 -0.8 4 0.716914 0.716914 0.358457 -0.716914 -0.7 4 0.719068 0.719068 0.359534 -0.719068 -0.6 4 0.72094 0.72094 0.36047 -0.72094 -0.5 4 0.722527 0.722527 0.361264 -0.722527 -0.4 4 0.723829 0.723829 0.361915 -0.723829 -0.3 4 0.724843 0.724843 0.362422 -0.724843 -0.2 4 0.725568 0.725568 0.362784 -0.725568 -0.1 4 0.726004 0.726004 0.363002 -0.726004 0 4 0.726149 0.726149 0.363075 -0.726149 0.1 4 0.726004 0.726004 0.363002 -0.726004 0.2 4 0.725568 0.725568 0.362784 -0.725568 0.3 4 0.724843 0.724843 0.362422 -0.724843 0.4 4 0.723829 0.723829 0.361915 -0.723829 0.5 4 0.722527 0.722527 0.361264 -0.722527 0.6 4 0.72094 0.72094 0.36047 -0.72094 0.7 4 0.719068 0.719068 0.359534 -0.719068 0.8 4 0.716914 0.716914 0.358457 -0.716914 0.9 4 0.71448 0.71448 0.35724 -0.71448 1 4 0.71177 0.71177 0.355885 -0.71177 1.1 4 0.708787 0.708787 0.354394 -0.708787 1.2 4 0.705534 0.705534 0.352767 -0.705534 1.3 4 0.702015 0.702015 0.351008 -0.702015 1.4 4 0.698235 0.698235 0.349117 -0.698235 1.5 4 0.694197 0.694197 0.347098 -0.694197 1.6 4 0.689906 0.689906 0.344953 -0.689906 1.7 4 0.685368 0.685368 0.342684 -0.685368 1.8 4 0.680587 0.680587 0.340293 -0.680587 1.9 4 0.675569 0.675569 0.337784 -0.675569 2 4 0.67032 0.67032 0.33516 -0.67032 2.1 4 0.664846 0.664846 0.332423 -0.664846 2.2 4 0.659153 0.659153 0.329576 -0.659153 2.3 4 0.653247 0.653247 0.326623 -0.653247 2.4 4 0.647135 0.647135 0.323568 -0.647135 2.5 4 0.640824 0.640824 0.320412 -0.640824 2.6 4 0.634321 0.634321 0.317161 -0.634321 2.7 4 0.627633 0.627633 0.313816 -0.627633 2.8 4 0.620767 0.620767 0.310383 -0.620767 2.9 4 0.61373 0.61373 0.306865 -0.61373 3 4 0.606531 0.606531 0.303265 -0.606531 3.1 4 0.599176 0.599176 0.299588 -0.599176 3.2 4 0.591674 0.591674 0.295837 -0.591674 3.3 4 0.584032 0.584032 0.292016 -0.584032 3.4 4 0.576258 0.576258 0.288129 -0.576258 3.5 4 0.56836 0.56836 0.28418 -0.56836 3.6 4 0.560346 0.560346 0.280173 -0.560346 3.7 4 0.552225 0.552225 0.276112 -0.552225 3.8 4 0.544003 0.544003 0.272002 -0.544003 3.9 4 0.53569 0.53569 0.267845 -0.53569 4 4 0.527292 0.527292 0.263646 -0.527292 4.1 4 0.518819 0.518819 0.25941 -0.518819 4.2 4 0.510278 0.510278 0.255139 -0.510278 4.3 4 0.501676 0.501676 0.250838 -0.501676 4.4 4 0.493023 0.493023 0.246511 -0.493023 4.5 4 0.484325 0.484325 0.242162 -0.484325 4.6 4 0.47559 0.47559 0.237795 -0.47559 4.7 4 0.466825 0.466825 0.233413 -0.466825 4.8 4 0.458039 0.458039 0.22902 -0.458039 4.9 4 0.449239 0.449239 0.22462 -0.449239 -5 4.1 0.433354 0.433354 0.216677 -0.433354 -4.9 4.1 0.44202 0.44202 0.22101 -0.44202 -4.8 4.1 0.450679 0.450679 0.225339 -0.450679 -4.7 4.1 0.459324 0.459324 0.229662 -0.459324 -4.6 4.1 0.467947 0.467947 0.233974 -0.467947 -4.5 4.1 0.476542 0.476542 0.238271 -0.476542 -4.4 4.1 0.4851 0.4851 0.24255 -0.4851 -4.3 4.1 0.493615 0.493615 0.246807 -0.493615 -4.2 4.1 0.502078 0.502078 0.251039 -0.502078 -4.1 4.1 0.510482 0.510482 0.255241 -0.510482 -4 4.1 0.518819 0.518819 0.25941 -0.518819 -3.9 4.1 0.527082 0.527082 0.263541 -0.527082 -3.8 4.1 0.535261 0.535261 0.267631 -0.535261 -3.7 4.1 0.543351 0.543351 0.271675 -0.543351 -3.6 4.1 0.551342 0.551342 0.275671 -0.551342 -3.5 4.1 0.559227 0.559227 0.279613 -0.559227 -3.4 4.1 0.566998 0.566998 0.283499 -0.566998 -3.3 4.1 0.574647 0.574647 0.287323 -0.574647 -3.2 4.1 0.582166 0.582166 0.291083 -0.582166 -3.1 4.1 0.589547 0.589547 0.294774 -0.589547 -3 4.1 0.596784 0.596784 0.298392 -0.596784 -2.9 4.1 0.603868 0.603868 0.301934 -0.603868 -2.8 4.1 0.610791 0.610791 0.305396 -0.610791 -2.7 4.1 0.617547 0.617547 0.308774 -0.617547 -2.6 4.1 0.624128 0.624128 0.312064 -0.624128 -2.5 4.1 0.630527 0.630527 0.315263 -0.630527 -2.4 4.1 0.636736 0.636736 0.318368 -0.636736 -2.3 4.1 0.64275 0.64275 0.321375 -0.64275 -2.2 4.1 0.64856 0.64856 0.32428 -0.64856 -2.1 4.1 0.654162 0.654162 0.327081 -0.654162 -2 4.1 0.659548 0.659548 0.329774 -0.659548 -1.9 4.1 0.664713 0.664713 0.332356 -0.664713 -1.8 4.1 0.66965 0.66965 0.334825 -0.66965 -1.7 4.1 0.674354 0.674354 0.337177 -0.674354 -1.6 4.1 0.67882 0.67882 0.33941 -0.67882 -1.5 4.1 0.683041 0.683041 0.341521 -0.683041 -1.4 4.1 0.687014 0.687014 0.343507 -0.687014 -1.3 4.1 0.690734 0.690734 0.345367 -0.690734 -1.2 4.1 0.694197 0.694197 0.347098 -0.694197 -1.1 4.1 0.697397 0.697397 0.348699 -0.697397 -1 4.1 0.700333 0.700333 0.350166 -0.700333 -0.9 4.1 0.702999 0.702999 0.351499 -0.702999 -0.8 4.1 0.705393 0.705393 0.352697 -0.705393 -0.7 4.1 0.707512 0.707512 0.353756 -0.707512 -0.6 4.1 0.709354 0.709354 0.354677 -0.709354 -0.5 4.1 0.710917 0.710917 0.355458 -0.710917 -0.4 4.1 0.712198 0.712198 0.356099 -0.712198 -0.3 4.1 0.713195 0.713195 0.356598 -0.713195 -0.2 4.1 0.713909 0.713909 0.356954 -0.713909 -0.1 4.1 0.714337 0.714337 0.357169 -0.714337 0 4.1 0.71448 0.71448 0.35724 -0.71448 0.1 4.1 0.714337 0.714337 0.357169 -0.714337 0.2 4.1 0.713909 0.713909 0.356954 -0.713909 0.3 4.1 0.713195 0.713195 0.356598 -0.713195 0.4 4.1 0.712198 0.712198 0.356099 -0.712198 0.5 4.1 0.710917 0.710917 0.355458 -0.710917 0.6 4.1 0.709354 0.709354 0.354677 -0.709354 0.7 4.1 0.707512 0.707512 0.353756 -0.707512 0.8 4.1 0.705393 0.705393 0.352697 -0.705393 0.9 4.1 0.702999 0.702999 0.351499 -0.702999 1 4.1 0.700333 0.700333 0.350166 -0.700333 1.1 4.1 0.697397 0.697397 0.348699 -0.697397 1.2 4.1 0.694197 0.694197 0.347098 -0.694197 1.3 4.1 0.690734 0.690734 0.345367 -0.690734 1.4 4.1 0.687014 0.687014 0.343507 -0.687014 1.5 4.1 0.683041 0.683041 0.341521 -0.683041 1.6 4.1 0.67882 0.67882 0.33941 -0.67882 1.7 4.1 0.674354 0.674354 0.337177 -0.674354 1.8 4.1 0.66965 0.66965 0.334825 -0.66965 1.9 4.1 0.664713 0.664713 0.332356 -0.664713 2 4.1 0.659548 0.659548 0.329774 -0.659548 2.1 4.1 0.654162 0.654162 0.327081 -0.654162 2.2 4.1 0.64856 0.64856 0.32428 -0.64856 2.3 4.1 0.64275 0.64275 0.321375 -0.64275 2.4 4.1 0.636736 0.636736 0.318368 -0.636736 2.5 4.1 0.630527 0.630527 0.315263 -0.630527 2.6 4.1 0.624128 0.624128 0.312064 -0.624128 2.7 4.1 0.617547 0.617547 0.308774 -0.617547 2.8 4.1 0.610791 0.610791 0.305396 -0.610791 2.9 4.1 0.603868 0.603868 0.301934 -0.603868 3 4.1 0.596784 0.596784 0.298392 -0.596784 3.1 4.1 0.589547 0.589547 0.294774 -0.589547 3.2 4.1 0.582166 0.582166 0.291083 -0.582166 3.3 4.1 0.574647 0.574647 0.287323 -0.574647 3.4 4.1 0.566998 0.566998 0.283499 -0.566998 3.5 4.1 0.559227 0.559227 0.279613 -0.559227 3.6 4.1 0.551342 0.551342 0.275671 -0.551342 3.7 4.1 0.543351 0.543351 0.271675 -0.543351 3.8 4.1 0.535261 0.535261 0.267631 -0.535261 3.9 4.1 0.527082 0.527082 0.263541 -0.527082 4 4.1 0.518819 0.518819 0.25941 -0.518819 4.1 4.1 0.510482 0.510482 0.255241 -0.510482 4.2 4.1 0.502078 0.502078 0.251039 -0.502078 4.3 4.1 0.493615 0.493615 0.246807 -0.493615 4.4 4.1 0.4851 0.4851 0.24255 -0.4851 4.5 4.1 0.476542 0.476542 0.238271 -0.476542 4.6 4.1 0.467947 0.467947 0.233974 -0.467947 4.7 4.1 0.459324 0.459324 0.229662 -0.459324 4.8 4.1 0.450679 0.450679 0.225339 -0.450679 4.9 4.1 0.44202 0.44202 0.22101 -0.44202 -5 4.2 0.42622 0.42622 0.21311 -0.42622 -4.9 4.2 0.434743 0.434743 0.217372 -0.434743 -4.8 4.2 0.443259 0.443259 0.22163 -0.443259 -4.7 4.2 0.451762 0.451762 0.225881 -0.451762 -4.6 4.2 0.460243 0.460243 0.230122 -0.460243 -4.5 4.2 0.468696 0.468696 0.234348 -0.468696 -4.4 4.2 0.477114 0.477114 0.238557 -0.477114 -4.3 4.2 0.485488 0.485488 0.242744 -0.485488 -4.2 4.2 0.493812 0.493812 0.246906 -0.493812 -4.1 4.2 0.502078 0.502078 0.251039 -0.502078 -4 4.2 0.510278 0.510278 0.255139 -0.510278 -3.9 4.2 0.518404 0.518404 0.259202 -0.518404 -3.8 4.2 0.526449 0.526449 0.263225 -0.526449 -3.7 4.2 0.534406 0.534406 0.267203 -0.534406 -3.6 4.2 0.542265 0.542265 0.271133 -0.542265 -3.5 4.2 0.55002 0.55002 0.27501 -0.55002 -3.4 4.2 0.557663 0.557663 0.278832 -0.557663 -3.3 4.2 0.565186 0.565186 0.282593 -0.565186 -3.2 4.2 0.572582 0.572582 0.286291 -0.572582 -3.1 4.2 0.579842 0.579842 0.289921 -0.579842 -3 4.2 0.586959 0.586959 0.29348 -0.586959 -2.9 4.2 0.593926 0.593926 0.296963 -0.593926 -2.8 4.2 0.600736 0.600736 0.300368 -0.600736 -2.7 4.2 0.60738 0.60738 0.30369 -0.60738 -2.6 4.2 0.613853 0.613853 0.306926 -0.613853 -2.5 4.2 0.620146 0.620146 0.310073 -0.620146 -2.4 4.2 0.626254 0.626254 0.313127 -0.626254 -2.3 4.2 0.632168 0.632168 0.316084 -0.632168 -2.2 4.2 0.637883 0.637883 0.318942 -0.637883 -2.1 4.2 0.643393 0.643393 0.321696 -0.643393 -2 4.2 0.64869 0.64869 0.324345 -0.64869 -1.9 4.2 0.65377 0.65377 0.326885 -0.65377 -1.8 4.2 0.658626 0.658626 0.329313 -0.658626 -1.7 4.2 0.663252 0.663252 0.331626 -0.663252 -1.6 4.2 0.667644 0.667644 0.333822 -0.667644 -1.5 4.2 0.671796 0.671796 0.335898 -0.671796 -1.4 4.2 0.675704 0.675704 0.337852 -0.675704 -1.3 4.2 0.679363 0.679363 0.339681 -0.679363 -1.2 4.2 0.682768 0.682768 0.341384 -0.682768 -1.1 4.2 0.685916 0.685916 0.342958 -0.685916 -1 4.2 0.688803 0.688803 0.344401 -0.688803 -0.9 4.2 0.691425 0.691425 0.345713 -0.691425 -0.8 4.2 0.69378 0.69378 0.34689 -0.69378 -0.7 4.2 0.695865 0.695865 0.347932 -0.695865 -0.6 4.2 0.697676 0.697676 0.348838 -0.697676 -0.5 4.2 0.699213 0.699213 0.349606 -0.699213 -0.4 4.2 0.700473 0.700473 0.350236 -0.700473 -0.3 4.2 0.701454 0.701454 0.350727 -0.701454 -0.2 4.2 0.702156 0.702156 0.351078 -0.702156 -0.1 4.2 0.702577 0.702577 0.351289 -0.702577 0 4.2 0.702718 0.702718 0.351359 -0.702718 0.1 4.2 0.702577 0.702577 0.351289 -0.702577 0.2 4.2 0.702156 0.702156 0.351078 -0.702156 0.3 4.2 0.701454 0.701454 0.350727 -0.701454 0.4 4.2 0.700473 0.700473 0.350236 -0.700473 0.5 4.2 0.699213 0.699213 0.349606 -0.699213 0.6 4.2 0.697676 0.697676 0.348838 -0.697676 0.7 4.2 0.695865 0.695865 0.347932 -0.695865 0.8 4.2 0.69378 0.69378 0.34689 -0.69378 0.9 4.2 0.691425 0.691425 0.345713 -0.691425 1 4.2 0.688803 0.688803 0.344401 -0.688803 1.1 4.2 0.685916 0.685916 0.342958 -0.685916 1.2 4.2 0.682768 0.682768 0.341384 -0.682768 1.3 4.2 0.679363 0.679363 0.339681 -0.679363 1.4 4.2 0.675704 0.675704 0.337852 -0.675704 1.5 4.2 0.671796 0.671796 0.335898 -0.671796 1.6 4.2 0.667644 0.667644 0.333822 -0.667644 1.7 4.2 0.663252 0.663252 0.331626 -0.663252 1.8 4.2 0.658626 0.658626 0.329313 -0.658626 1.9 4.2 0.65377 0.65377 0.326885 -0.65377 2 4.2 0.64869 0.64869 0.324345 -0.64869 2.1 4.2 0.643393 0.643393 0.321696 -0.643393 2.2 4.2 0.637883 0.637883 0.318942 -0.637883 2.3 4.2 0.632168 0.632168 0.316084 -0.632168 2.4 4.2 0.626254 0.626254 0.313127 -0.626254 2.5 4.2 0.620146 0.620146 0.310073 -0.620146 2.6 4.2 0.613853 0.613853 0.306926 -0.613853 2.7 4.2 0.60738 0.60738 0.30369 -0.60738 2.8 4.2 0.600736 0.600736 0.300368 -0.600736 2.9 4.2 0.593926 0.593926 0.296963 -0.593926 3 4.2 0.586959 0.586959 0.29348 -0.586959 3.1 4.2 0.579842 0.579842 0.289921 -0.579842 3.2 4.2 0.572582 0.572582 0.286291 -0.572582 3.3 4.2 0.565186 0.565186 0.282593 -0.565186 3.4 4.2 0.557663 0.557663 0.278832 -0.557663 3.5 4.2 0.55002 0.55002 0.27501 -0.55002 3.6 4.2 0.542265 0.542265 0.271133 -0.542265 3.7 4.2 0.534406 0.534406 0.267203 -0.534406 3.8 4.2 0.526449 0.526449 0.263225 -0.526449 3.9 4.2 0.518404 0.518404 0.259202 -0.518404 4 4.2 0.510278 0.510278 0.255139 -0.510278 4.1 4.2 0.502078 0.502078 0.251039 -0.502078 4.2 4.2 0.493812 0.493812 0.246906 -0.493812 4.3 4.2 0.485488 0.485488 0.242744 -0.485488 4.4 4.2 0.477114 0.477114 0.238557 -0.477114 4.5 4.2 0.468696 0.468696 0.234348 -0.468696 4.6 4.2 0.460243 0.460243 0.230122 -0.460243 4.7 4.2 0.451762 0.451762 0.225881 -0.451762 4.8 4.2 0.443259 0.443259 0.22163 -0.443259 4.9 4.2 0.434743 0.434743 0.217372 -0.434743 -5 4.3 0.419035 0.419035 0.209518 -0.419035 -4.9 4.3 0.427415 0.427415 0.213707 -0.427415 -4.8 4.3 0.435788 0.435788 0.217894 -0.435788 -4.7 4.3 0.444147 0.444147 0.222073 -0.444147 -4.6 4.3 0.452485 0.452485 0.226243 -0.452485 -4.5 4.3 0.460796 0.460796 0.230398 -0.460796 -4.4 4.3 0.469072 0.469072 0.234536 -0.469072 -4.3 4.3 0.477305 0.477305 0.238652 -0.477305 -4.2 4.3 0.485488 0.485488 0.242744 -0.485488 -4.1 4.3 0.493615 0.493615 0.246807 -0.493615 -4 4.3 0.501676 0.501676 0.250838 -0.501676 -3.9 4.3 0.509666 0.509666 0.254833 -0.509666 -3.8 4.3 0.517575 0.517575 0.258788 -0.517575 -3.7 4.3 0.525398 0.525398 0.262699 -0.525398 -3.6 4.3 0.533125 0.533125 0.266562 -0.533125 -3.5 4.3 0.540749 0.540749 0.270375 -0.540749 -3.4 4.3 0.548263 0.548263 0.274132 -0.548263 -3.3 4.3 0.555659 0.555659 0.27783 -0.555659 -3.2 4.3 0.56293 0.56293 0.281465 -0.56293 -3.1 4.3 0.570068 0.570068 0.285034 -0.570068 -3 4.3 0.577065 0.577065 0.288533 -0.577065 -2.9 4.3 0.583915 0.583915 0.291957 -0.583915 -2.8 4.3 0.59061 0.59061 0.295305 -0.59061 -2.7 4.3 0.597142 0.597142 0.298571 -0.597142 -2.6 4.3 0.603506 0.603506 0.301753 -0.603506 -2.5 4.3 0.609693 0.609693 0.304846 -0.609693 -2.4 4.3 0.615697 0.615697 0.307849 -0.615697 -2.3 4.3 0.621512 0.621512 0.310756 -0.621512 -2.2 4.3 0.627131 0.627131 0.313565 -0.627131 -2.1 4.3 0.632547 0.632547 0.316274 -0.632547 -2 4.3 0.637756 0.637756 0.318878 -0.637756 -1.9 4.3 0.64275 0.64275 0.321375 -0.64275 -1.8 4.3 0.647524 0.647524 0.323762 -0.647524 -1.7 4.3 0.652072 0.652072 0.326036 -0.652072 -1.6 4.3 0.65639 0.65639 0.328195 -0.65639 -1.5 4.3 0.660472 0.660472 0.330236 -0.660472 -1.4 4.3 0.664314 0.664314 0.332157 -0.664314 -1.3 4.3 0.667911 0.667911 0.333956 -0.667911 -1.2 4.3 0.671259 0.671259 0.33563 -0.671259 -1.1 4.3 0.674354 0.674354 0.337177 -0.674354 -1 4.3 0.677192 0.677192 0.338596 -0.677192 -0.9 4.3 0.679771 0.679771 0.339885 -0.679771 -0.8 4.3 0.682086 0.682086 0.341043 -0.682086 -0.7 4.3 0.684135 0.684135 0.342068 -0.684135 -0.6 4.3 0.685916 0.685916 0.342958 -0.685916 -0.5 4.3 0.687427 0.687427 0.343713 -0.687427 -0.4 4.3 0.688665 0.688665 0.344333 -0.688665 -0.3 4.3 0.68963 0.68963 0.344815 -0.68963 -0.2 4.3 0.69032 0.69032 0.34516 -0.69032 -0.1 4.3 0.690734 0.690734 0.345367 -0.690734 0 4.3 0.690872 0.690872 0.345436 -0.690872 0.1 4.3 0.690734 0.690734 0.345367 -0.690734 0.2 4.3 0.69032 0.69032 0.34516 -0.69032 0.3 4.3 0.68963 0.68963 0.344815 -0.68963 0.4 4.3 0.688665 0.688665 0.344333 -0.688665 0.5 4.3 0.687427 0.687427 0.343713 -0.687427 0.6 4.3 0.685916 0.685916 0.342958 -0.685916 0.7 4.3 0.684135 0.684135 0.342068 -0.684135 0.8 4.3 0.682086 0.682086 0.341043 -0.682086 0.9 4.3 0.679771 0.679771 0.339885 -0.679771 1 4.3 0.677192 0.677192 0.338596 -0.677192 1.1 4.3 0.674354 0.674354 0.337177 -0.674354 1.2 4.3 0.671259 0.671259 0.33563 -0.671259 1.3 4.3 0.667911 0.667911 0.333956 -0.667911 1.4 4.3 0.664314 0.664314 0.332157 -0.664314 1.5 4.3 0.660472 0.660472 0.330236 -0.660472 1.6 4.3 0.65639 0.65639 0.328195 -0.65639 1.7 4.3 0.652072 0.652072 0.326036 -0.652072 1.8 4.3 0.647524 0.647524 0.323762 -0.647524 1.9 4.3 0.64275 0.64275 0.321375 -0.64275 2 4.3 0.637756 0.637756 0.318878 -0.637756 2.1 4.3 0.632547 0.632547 0.316274 -0.632547 2.2 4.3 0.627131 0.627131 0.313565 -0.627131 2.3 4.3 0.621512 0.621512 0.310756 -0.621512 2.4 4.3 0.615697 0.615697 0.307849 -0.615697 2.5 4.3 0.609693 0.609693 0.304846 -0.609693 2.6 4.3 0.603506 0.603506 0.301753 -0.603506 2.7 4.3 0.597142 0.597142 0.298571 -0.597142 2.8 4.3 0.59061 0.59061 0.295305 -0.59061 2.9 4.3 0.583915 0.583915 0.291957 -0.583915 3 4.3 0.577065 0.577065 0.288533 -0.577065 3.1 4.3 0.570068 0.570068 0.285034 -0.570068 3.2 4.3 0.56293 0.56293 0.281465 -0.56293 3.3 4.3 0.555659 0.555659 0.27783 -0.555659 3.4 4.3 0.548263 0.548263 0.274132 -0.548263 3.5 4.3 0.540749 0.540749 0.270375 -0.540749 3.6 4.3 0.533125 0.533125 0.266562 -0.533125 3.7 4.3 0.525398 0.525398 0.262699 -0.525398 3.8 4.3 0.517575 0.517575 0.258788 -0.517575 3.9 4.3 0.509666 0.509666 0.254833 -0.509666 4 4.3 0.501676 0.501676 0.250838 -0.501676 4.1 4.3 0.493615 0.493615 0.246807 -0.493615 4.2 4.3 0.485488 0.485488 0.242744 -0.485488 4.3 4.3 0.477305 0.477305 0.238652 -0.477305 4.4 4.3 0.469072 0.469072 0.234536 -0.469072 4.5 4.3 0.460796 0.460796 0.230398 -0.460796 4.6 4.3 0.452485 0.452485 0.226243 -0.452485 4.7 4.3 0.444147 0.444147 0.222073 -0.444147 4.8 4.3 0.435788 0.435788 0.217894 -0.435788 4.9 4.3 0.427415 0.427415 0.213707 -0.427415 -5 4.4 0.411807 0.411807 0.205904 -0.411807 -4.9 4.4 0.420042 0.420042 0.210021 -0.420042 -4.8 4.4 0.428271 0.428271 0.214135 -0.428271 -4.7 4.4 0.436486 0.436486 0.218243 -0.436486 -4.6 4.4 0.44468 0.44468 0.22234 -0.44468 -4.5 4.4 0.452847 0.452847 0.226424 -0.452847 -4.4 4.4 0.46098 0.46098 0.23049 -0.46098 -4.3 4.4 0.469072 0.469072 0.234536 -0.469072 -4.2 4.4 0.477114 0.477114 0.238557 -0.477114 -4.1 4.4 0.4851 0.4851 0.24255 -0.4851 -4 4.4 0.493023 0.493023 0.246511 -0.493023 -3.9 4.4 0.500874 0.500874 0.250437 -0.500874 -3.8 4.4 0.508648 0.508648 0.254324 -0.508648 -3.7 4.4 0.516335 0.516335 0.258167 -0.516335 -3.6 4.4 0.523929 0.523929 0.261964 -0.523929 -3.5 4.4 0.531421 0.531421 0.265711 -0.531421 -3.4 4.4 0.538806 0.538806 0.269403 -0.538806 -3.3 4.4 0.546074 0.546074 0.273037 -0.546074 -3.2 4.4 0.55322 0.55322 0.27661 -0.55322 -3.1 4.4 0.560234 0.560234 0.280117 -0.560234 -3 4.4 0.567111 0.567111 0.283556 -0.567111 -2.9 4.4 0.573843 0.573843 0.286921 -0.573843 -2.8 4.4 0.580422 0.580422 0.290211 -0.580422 -2.7 4.4 0.586842 0.586842 0.293421 -0.586842 -2.6 4.4 0.593095 0.593095 0.296548 -0.593095 -2.5 4.4 0.599176 0.599176 0.299588 -0.599176 -2.4 4.4 0.605077 0.605077 0.302538 -0.605077 -2.3 4.4 0.610791 0.610791 0.305396 -0.610791 -2.2 4.4 0.616313 0.616313 0.308157 -0.616313 -2.1 4.4 0.621636 0.621636 0.310818 -0.621636 -2 4.4 0.626755 0.626755 0.313377 -0.626755 -1.9 4.4 0.631663 0.631663 0.315831 -0.631663 -1.8 4.4 0.636354 0.636354 0.318177 -0.636354 -1.7 4.4 0.640824 0.640824 0.320412 -0.640824 -1.6 4.4 0.645068 0.645068 0.322534 -0.645068 -1.5 4.4 0.64908 0.64908 0.32454 -0.64908 -1.4 4.4 0.652855 0.652855 0.326428 -0.652855 -1.3 4.4 0.65639 0.65639 0.328195 -0.65639 -1.2 4.4 0.65968 0.65968 0.32984 -0.65968 -1.1 4.4 0.662722 0.662722 0.331361 -0.662722 -1 4.4 0.665511 0.665511 0.332756 -0.665511 -0.9 4.4 0.668045 0.668045 0.334022 -0.668045 -0.8 4.4 0.67032 0.67032 0.33516 -0.67032 -0.7 4.4 0.672334 0.672334 0.336167 -0.672334 -0.6 4.4 0.674084 0.674084 0.337042 -0.674084 -0.5 4.4 0.675569 0.675569 0.337784 -0.675569 -0.4 4.4 0.676786 0.676786 0.338393 -0.676786 -0.3 4.4 0.677734 0.677734 0.338867 -0.677734 -0.2 4.4 0.678412 0.678412 0.339206 -0.678412 -0.1 4.4 0.67882 0.67882 0.33941 -0.67882 0 4.4 0.678955 0.678955 0.339478 -0.678955 0.1 4.4 0.67882 0.67882 0.33941 -0.67882 0.2 4.4 0.678412 0.678412 0.339206 -0.678412 0.3 4.4 0.677734 0.677734 0.338867 -0.677734 0.4 4.4 0.676786 0.676786 0.338393 -0.676786 0.5 4.4 0.675569 0.675569 0.337784 -0.675569 0.6 4.4 0.674084 0.674084 0.337042 -0.674084 0.7 4.4 0.672334 0.672334 0.336167 -0.672334 0.8 4.4 0.67032 0.67032 0.33516 -0.67032 0.9 4.4 0.668045 0.668045 0.334022 -0.668045 1 4.4 0.665511 0.665511 0.332756 -0.665511 1.1 4.4 0.662722 0.662722 0.331361 -0.662722 1.2 4.4 0.65968 0.65968 0.32984 -0.65968 1.3 4.4 0.65639 0.65639 0.328195 -0.65639 1.4 4.4 0.652855 0.652855 0.326428 -0.652855 1.5 4.4 0.64908 0.64908 0.32454 -0.64908 1.6 4.4 0.645068 0.645068 0.322534 -0.645068 1.7 4.4 0.640824 0.640824 0.320412 -0.640824 1.8 4.4 0.636354 0.636354 0.318177 -0.636354 1.9 4.4 0.631663 0.631663 0.315831 -0.631663 2 4.4 0.626755 0.626755 0.313377 -0.626755 2.1 4.4 0.621636 0.621636 0.310818 -0.621636 2.2 4.4 0.616313 0.616313 0.308157 -0.616313 2.3 4.4 0.610791 0.610791 0.305396 -0.610791 2.4 4.4 0.605077 0.605077 0.302538 -0.605077 2.5 4.4 0.599176 0.599176 0.299588 -0.599176 2.6 4.4 0.593095 0.593095 0.296548 -0.593095 2.7 4.4 0.586842 0.586842 0.293421 -0.586842 2.8 4.4 0.580422 0.580422 0.290211 -0.580422 2.9 4.4 0.573843 0.573843 0.286921 -0.573843 3 4.4 0.567111 0.567111 0.283556 -0.567111 3.1 4.4 0.560234 0.560234 0.280117 -0.560234 3.2 4.4 0.55322 0.55322 0.27661 -0.55322 3.3 4.4 0.546074 0.546074 0.273037 -0.546074 3.4 4.4 0.538806 0.538806 0.269403 -0.538806 3.5 4.4 0.531421 0.531421 0.265711 -0.531421 3.6 4.4 0.523929 0.523929 0.261964 -0.523929 3.7 4.4 0.516335 0.516335 0.258167 -0.516335 3.8 4.4 0.508648 0.508648 0.254324 -0.508648 3.9 4.4 0.500874 0.500874 0.250437 -0.500874 4 4.4 0.493023 0.493023 0.246511 -0.493023 4.1 4.4 0.4851 0.4851 0.24255 -0.4851 4.2 4.4 0.477114 0.477114 0.238557 -0.477114 4.3 4.4 0.469072 0.469072 0.234536 -0.469072 4.4 4.4 0.46098 0.46098 0.23049 -0.46098 4.5 4.4 0.452847 0.452847 0.226424 -0.452847 4.6 4.4 0.44468 0.44468 0.22234 -0.44468 4.7 4.4 0.436486 0.436486 0.218243 -0.436486 4.8 4.4 0.428271 0.428271 0.214135 -0.428271 4.9 4.4 0.420042 0.420042 0.210021 -0.420042 -5 4.5 0.404542 0.404542 0.202271 -0.404542 -4.9 4.5 0.412632 0.412632 0.206316 -0.412632 -4.8 4.5 0.420715 0.420715 0.210357 -0.420715 -4.7 4.5 0.428785 0.428785 0.214392 -0.428785 -4.6 4.5 0.436835 0.436835 0.218417 -0.436835 -4.5 4.5 0.444858 0.444858 0.222429 -0.444858 -4.4 4.5 0.452847 0.452847 0.226424 -0.452847 -4.3 4.5 0.460796 0.460796 0.230398 -0.460796 -4.2 4.5 0.468696 0.468696 0.234348 -0.468696 -4.1 4.5 0.476542 0.476542 0.238271 -0.476542 -4 4.5 0.484325 0.484325 0.242162 -0.484325 -3.9 4.5 0.492038 0.492038 0.246019 -0.492038 -3.8 4.5 0.499674 0.499674 0.249837 -0.499674 -3.7 4.5 0.507225 0.507225 0.253613 -0.507225 -3.6 4.5 0.514685 0.514685 0.257343 -0.514685 -3.5 4.5 0.522046 0.522046 0.261023 -0.522046 -3.4 4.5 0.5293 0.5293 0.26465 -0.5293 -3.3 4.5 0.53644 0.53644 0.26822 -0.53644 -3.2 4.5 0.54346 0.54346 0.27173 -0.54346 -3.1 4.5 0.55035 0.55035 0.275175 -0.55035 -3 4.5 0.557106 0.557106 0.278553 -0.557106 -2.9 4.5 0.563719 0.563719 0.281859 -0.563719 -2.8 4.5 0.570182 0.570182 0.285091 -0.570182 -2.7 4.5 0.576488 0.576488 0.288244 -0.576488 -2.6 4.5 0.582632 0.582632 0.291316 -0.582632 -2.5 4.5 0.588605 0.588605 0.294302 -0.588605 -2.4 4.5 0.594402 0.594402 0.297201 -0.594402 -2.3 4.5 0.600015 0.600015 0.300008 -0.600015 -2.2 4.5 0.60544 0.60544 0.30272 -0.60544 -2.1 4.5 0.610669 0.610669 0.305335 -0.610669 -2 4.5 0.615697 0.615697 0.307849 -0.615697 -1.9 4.5 0.620518 0.620518 0.310259 -0.620518 -1.8 4.5 0.625127 0.625127 0.312564 -0.625127 -1.7 4.5 0.629519 0.629519 0.314759 -0.629519 -1.6 4.5 0.633687 0.633687 0.316844 -0.633687 -1.5 4.5 0.637628 0.637628 0.318814 -0.637628 -1.4 4.5 0.641337 0.641337 0.320669 -0.641337 -1.3 4.5 0.64481 0.64481 0.322405 -0.64481 -1.2 4.5 0.648042 0.648042 0.324021 -0.648042 -1.1 4.5 0.65103 0.65103 0.325515 -0.65103 -1 4.5 0.65377 0.65377 0.326885 -0.65377 -0.9 4.5 0.656259 0.656259 0.328129 -0.656259 -0.8 4.5 0.658494 0.658494 0.329247 -0.658494 -0.7 4.5 0.660472 0.660472 0.330236 -0.660472 -0.6 4.5 0.662192 0.662192 0.331096 -0.662192 -0.5 4.5 0.66365 0.66365 0.331825 -0.66365 -0.4 4.5 0.664846 0.664846 0.332423 -0.664846 -0.3 4.5 0.665777 0.665777 0.332889 -0.665777 -0.2 4.5 0.666443 0.666443 0.333222 -0.666443 -0.1 4.5 0.666843 0.666843 0.333422 -0.666843 0 4.5 0.666977 0.666977 0.333488 -0.666977 0.1 4.5 0.666843 0.666843 0.333422 -0.666843 0.2 4.5 0.666443 0.666443 0.333222 -0.666443 0.3 4.5 0.665777 0.665777 0.332889 -0.665777 0.4 4.5 0.664846 0.664846 0.332423 -0.664846 0.5 4.5 0.66365 0.66365 0.331825 -0.66365 0.6 4.5 0.662192 0.662192 0.331096 -0.662192 0.7 4.5 0.660472 0.660472 0.330236 -0.660472 0.8 4.5 0.658494 0.658494 0.329247 -0.658494 0.9 4.5 0.656259 0.656259 0.328129 -0.656259 1 4.5 0.65377 0.65377 0.326885 -0.65377 1.1 4.5 0.65103 0.65103 0.325515 -0.65103 1.2 4.5 0.648042 0.648042 0.324021 -0.648042 1.3 4.5 0.64481 0.64481 0.322405 -0.64481 1.4 4.5 0.641337 0.641337 0.320669 -0.641337 1.5 4.5 0.637628 0.637628 0.318814 -0.637628 1.6 4.5 0.633687 0.633687 0.316844 -0.633687 1.7 4.5 0.629519 0.629519 0.314759 -0.629519 1.8 4.5 0.625127 0.625127 0.312564 -0.625127 1.9 4.5 0.620518 0.620518 0.310259 -0.620518 2 4.5 0.615697 0.615697 0.307849 -0.615697 2.1 4.5 0.610669 0.610669 0.305335 -0.610669 2.2 4.5 0.60544 0.60544 0.30272 -0.60544 2.3 4.5 0.600015 0.600015 0.300008 -0.600015 2.4 4.5 0.594402 0.594402 0.297201 -0.594402 2.5 4.5 0.588605 0.588605 0.294302 -0.588605 2.6 4.5 0.582632 0.582632 0.291316 -0.582632 2.7 4.5 0.576488 0.576488 0.288244 -0.576488 2.8 4.5 0.570182 0.570182 0.285091 -0.570182 2.9 4.5 0.563719 0.563719 0.281859 -0.563719 3 4.5 0.557106 0.557106 0.278553 -0.557106 3.1 4.5 0.55035 0.55035 0.275175 -0.55035 3.2 4.5 0.54346 0.54346 0.27173 -0.54346 3.3 4.5 0.53644 0.53644 0.26822 -0.53644 3.4 4.5 0.5293 0.5293 0.26465 -0.5293 3.5 4.5 0.522046 0.522046 0.261023 -0.522046 3.6 4.5 0.514685 0.514685 0.257343 -0.514685 3.7 4.5 0.507225 0.507225 0.253613 -0.507225 3.8 4.5 0.499674 0.499674 0.249837 -0.499674 3.9 4.5 0.492038 0.492038 0.246019 -0.492038 4 4.5 0.484325 0.484325 0.242162 -0.484325 4.1 4.5 0.476542 0.476542 0.238271 -0.476542 4.2 4.5 0.468696 0.468696 0.234348 -0.468696 4.3 4.5 0.460796 0.460796 0.230398 -0.460796 4.4 4.5 0.452847 0.452847 0.226424 -0.452847 4.5 4.5 0.444858 0.444858 0.222429 -0.444858 4.6 4.5 0.436835 0.436835 0.218417 -0.436835 4.7 4.5 0.428785 0.428785 0.214392 -0.428785 4.8 4.5 0.420715 0.420715 0.210357 -0.420715 4.9 4.5 0.412632 0.412632 0.206316 -0.412632 -5 4.6 0.397246 0.397246 0.198623 -0.397246 -4.9 4.6 0.40519 0.40519 0.202595 -0.40519 -4.8 4.6 0.413127 0.413127 0.206564 -0.413127 -4.7 4.6 0.421052 0.421052 0.210526 -0.421052 -4.6 4.6 0.428956 0.428956 0.214478 -0.428956 -4.5 4.6 0.436835 0.436835 0.218417 -0.436835 -4.4 4.6 0.44468 0.44468 0.22234 -0.44468 -4.3 4.6 0.452485 0.452485 0.226243 -0.452485 -4.2 4.6 0.460243 0.460243 0.230122 -0.460243 -4.1 4.6 0.467947 0.467947 0.233974 -0.467947 -4 4.6 0.47559 0.47559 0.237795 -0.47559 -3.9 4.6 0.483164 0.483164 0.241582 -0.483164 -3.8 4.6 0.490662 0.490662 0.245331 -0.490662 -3.7 4.6 0.498077 0.498077 0.249039 -0.498077 -3.6 4.6 0.505403 0.505403 0.252701 -0.505403 -3.5 4.6 0.51263 0.51263 0.256315 -0.51263 -3.4 4.6 0.519754 0.519754 0.259877 -0.519754 -3.3 4.6 0.526765 0.526765 0.263383 -0.526765 -3.2 4.6 0.533658 0.533658 0.266829 -0.533658 -3.1 4.6 0.540425 0.540425 0.270212 -0.540425 -3 4.6 0.547058 0.547058 0.273529 -0.547058 -2.9 4.6 0.553552 0.553552 0.276776 -0.553552 -2.8 4.6 0.559898 0.559898 0.279949 -0.559898 -2.7 4.6 0.566091 0.566091 0.283046 -0.566091 -2.6 4.6 0.572124 0.572124 0.286062 -0.572124 -2.5 4.6 0.577989 0.577989 0.288995 -0.577989 -2.4 4.6 0.583681 0.583681 0.291841 -0.583681 -2.3 4.6 0.589194 0.589194 0.294597 -0.589194 -2.2 4.6 0.594521 0.594521 0.29726 -0.594521 -2.1 4.6 0.599655 0.599655 0.299828 -0.599655 -2 4.6 0.604593 0.604593 0.302296 -0.604593 -1.9 4.6 0.609327 0.609327 0.304664 -0.609327 -1.8 4.6 0.613853 0.613853 0.306926 -0.613853 -1.7 4.6 0.618165 0.618165 0.309082 -0.618165 -1.6 4.6 0.622258 0.622258 0.311129 -0.622258 -1.5 4.6 0.626128 0.626128 0.313064 -0.626128 -1.4 4.6 0.62977 0.62977 0.314885 -0.62977 -1.3 4.6 0.63318 0.63318 0.31659 -0.63318 -1.2 4.6 0.636354 0.636354 0.318177 -0.636354 -1.1 4.6 0.639288 0.639288 0.319644 -0.639288 -1 4.6 0.641979 0.641979 0.320989 -0.641979 -0.9 4.6 0.644423 0.644423 0.322211 -0.644423 -0.8 4.6 0.646618 0.646618 0.323309 -0.646618 -0.7 4.6 0.64856 0.64856 0.32428 -0.64856 -0.6 4.6 0.650249 0.650249 0.325124 -0.650249 -0.5 4.6 0.651681 0.651681 0.325841 -0.651681 -0.4 4.6 0.652855 0.652855 0.326428 -0.652855 -0.3 4.6 0.65377 0.65377 0.326885 -0.65377 -0.2 4.6 0.654424 0.654424 0.327212 -0.654424 -0.1 4.6 0.654817 0.654817 0.327408 -0.654817 0 4.6 0.654948 0.654948 0.327474 -0.654948 0.1 4.6 0.654817 0.654817 0.327408 -0.654817 0.2 4.6 0.654424 0.654424 0.327212 -0.654424 0.3 4.6 0.65377 0.65377 0.326885 -0.65377 0.4 4.6 0.652855 0.652855 0.326428 -0.652855 0.5 4.6 0.651681 0.651681 0.325841 -0.651681 0.6 4.6 0.650249 0.650249 0.325124 -0.650249 0.7 4.6 0.64856 0.64856 0.32428 -0.64856 0.8 4.6 0.646618 0.646618 0.323309 -0.646618 0.9 4.6 0.644423 0.644423 0.322211 -0.644423 1 4.6 0.641979 0.641979 0.320989 -0.641979 1.1 4.6 0.639288 0.639288 0.319644 -0.639288 1.2 4.6 0.636354 0.636354 0.318177 -0.636354 1.3 4.6 0.63318 0.63318 0.31659 -0.63318 1.4 4.6 0.62977 0.62977 0.314885 -0.62977 1.5 4.6 0.626128 0.626128 0.313064 -0.626128 1.6 4.6 0.622258 0.622258 0.311129 -0.622258 1.7 4.6 0.618165 0.618165 0.309082 -0.618165 1.8 4.6 0.613853 0.613853 0.306926 -0.613853 1.9 4.6 0.609327 0.609327 0.304664 -0.609327 2 4.6 0.604593 0.604593 0.302296 -0.604593 2.1 4.6 0.599655 0.599655 0.299828 -0.599655 2.2 4.6 0.594521 0.594521 0.29726 -0.594521 2.3 4.6 0.589194 0.589194 0.294597 -0.589194 2.4 4.6 0.583681 0.583681 0.291841 -0.583681 2.5 4.6 0.577989 0.577989 0.288995 -0.577989 2.6 4.6 0.572124 0.572124 0.286062 -0.572124 2.7 4.6 0.566091 0.566091 0.283046 -0.566091 2.8 4.6 0.559898 0.559898 0.279949 -0.559898 2.9 4.6 0.553552 0.553552 0.276776 -0.553552 3 4.6 0.547058 0.547058 0.273529 -0.547058 3.1 4.6 0.540425 0.540425 0.270212 -0.540425 3.2 4.6 0.533658 0.533658 0.266829 -0.533658 3.3 4.6 0.526765 0.526765 0.263383 -0.526765 3.4 4.6 0.519754 0.519754 0.259877 -0.519754 3.5 4.6 0.51263 0.51263 0.256315 -0.51263 3.6 4.6 0.505403 0.505403 0.252701 -0.505403 3.7 4.6 0.498077 0.498077 0.249039 -0.498077 3.8 4.6 0.490662 0.490662 0.245331 -0.490662 3.9 4.6 0.483164 0.483164 0.241582 -0.483164 4 4.6 0.47559 0.47559 0.237795 -0.47559 4.1 4.6 0.467947 0.467947 0.233974 -0.467947 4.2 4.6 0.460243 0.460243 0.230122 -0.460243 4.3 4.6 0.452485 0.452485 0.226243 -0.452485 4.4 4.6 0.44468 0.44468 0.22234 -0.44468 4.5 4.6 0.436835 0.436835 0.218417 -0.436835 4.6 4.6 0.428956 0.428956 0.214478 -0.428956 4.7 4.6 0.421052 0.421052 0.210526 -0.421052 4.8 4.6 0.413127 0.413127 0.206564 -0.413127 4.9 4.6 0.40519 0.40519 0.202595 -0.40519 -5 4.7 0.389925 0.389925 0.194963 -0.389925 -4.9 4.7 0.397723 0.397723 0.198861 -0.397723 -4.8 4.7 0.405514 0.405514 0.202757 -0.405514 -4.7 4.7 0.413292 0.413292 0.206646 -0.413292 -4.6 4.7 0.421052 0.421052 0.210526 -0.421052 -4.5 4.7 0.428785 0.428785 0.214392 -0.428785 -4.4 4.7 0.436486 0.436486 0.218243 -0.436486 -4.3 4.7 0.444147 0.444147 0.222073 -0.444147 -4.2 4.7 0.451762 0.451762 0.225881 -0.451762 -4.1 4.7 0.459324 0.459324 0.229662 -0.459324 -4 4.7 0.466825 0.466825 0.233413 -0.466825 -3.9 4.7 0.47426 0.47426 0.23713 -0.47426 -3.8 4.7 0.48162 0.48162 0.24081 -0.48162 -3.7 4.7 0.488899 0.488899 0.244449 -0.488899 -3.6 4.7 0.496089 0.496089 0.248044 -0.496089 -3.5 4.7 0.503184 0.503184 0.251592 -0.503184 -3.4 4.7 0.510176 0.510176 0.255088 -0.510176 -3.3 4.7 0.517058 0.517058 0.258529 -0.517058 -3.2 4.7 0.523824 0.523824 0.261912 -0.523824 -3.1 4.7 0.530466 0.530466 0.265233 -0.530466 -3 4.7 0.536977 0.536977 0.268489 -0.536977 -2.9 4.7 0.543351 0.543351 0.271675 -0.543351 -2.8 4.7 0.549581 0.549581 0.27479 -0.549581 -2.7 4.7 0.555659 0.555659 0.27783 -0.555659 -2.6 4.7 0.561581 0.561581 0.28079 -0.561581 -2.5 4.7 0.567338 0.567338 0.283669 -0.567338 -2.4 4.7 0.572925 0.572925 0.286463 -0.572925 -2.3 4.7 0.578336 0.578336 0.289168 -0.578336 -2.2 4.7 0.583565 0.583565 0.291782 -0.583565 -2.1 4.7 0.588605 0.588605 0.294302 -0.588605 -2 4.7 0.593451 0.593451 0.296726 -0.593451 -1.9 4.7 0.598098 0.598098 0.299049 -0.598098 -1.8 4.7 0.602541 0.602541 0.30127 -0.602541 -1.7 4.7 0.606773 0.606773 0.303387 -0.606773 -1.6 4.7 0.610791 0.610791 0.305396 -0.610791 -1.5 4.7 0.61459 0.61459 0.307295 -0.61459 -1.4 4.7 0.618165 0.618165 0.309082 -0.618165 -1.3 4.7 0.621512 0.621512 0.310756 -0.621512 -1.2 4.7 0.624627 0.624627 0.312314 -0.624627 -1.1 4.7 0.627507 0.627507 0.313754 -0.627507 -1 4.7 0.630148 0.630148 0.315074 -0.630148 -0.9 4.7 0.632547 0.632547 0.316274 -0.632547 -0.8 4.7 0.634702 0.634702 0.317351 -0.634702 -0.7 4.7 0.636609 0.636609 0.318304 -0.636609 -0.6 4.7 0.638266 0.638266 0.319133 -0.638266 -0.5 4.7 0.639672 0.639672 0.319836 -0.639672 -0.4 4.7 0.640824 0.640824 0.320412 -0.640824 -0.3 4.7 0.641722 0.641722 0.320861 -0.641722 -0.2 4.7 0.642364 0.642364 0.321182 -0.642364 -0.1 4.7 0.64275 0.64275 0.321375 -0.64275 0 4.7 0.642878 0.642878 0.321439 -0.642878 0.1 4.7 0.64275 0.64275 0.321375 -0.64275 0.2 4.7 0.642364 0.642364 0.321182 -0.642364 0.3 4.7 0.641722 0.641722 0.320861 -0.641722 0.4 4.7 0.640824 0.640824 0.320412 -0.640824 0.5 4.7 0.639672 0.639672 0.319836 -0.639672 0.6 4.7 0.638266 0.638266 0.319133 -0.638266 0.7 4.7 0.636609 0.636609 0.318304 -0.636609 0.8 4.7 0.634702 0.634702 0.317351 -0.634702 0.9 4.7 0.632547 0.632547 0.316274 -0.632547 1 4.7 0.630148 0.630148 0.315074 -0.630148 1.1 4.7 0.627507 0.627507 0.313754 -0.627507 1.2 4.7 0.624627 0.624627 0.312314 -0.624627 1.3 4.7 0.621512 0.621512 0.310756 -0.621512 1.4 4.7 0.618165 0.618165 0.309082 -0.618165 1.5 4.7 0.61459 0.61459 0.307295 -0.61459 1.6 4.7 0.610791 0.610791 0.305396 -0.610791 1.7 4.7 0.606773 0.606773 0.303387 -0.606773 1.8 4.7 0.602541 0.602541 0.30127 -0.602541 1.9 4.7 0.598098 0.598098 0.299049 -0.598098 2 4.7 0.593451 0.593451 0.296726 -0.593451 2.1 4.7 0.588605 0.588605 0.294302 -0.588605 2.2 4.7 0.583565 0.583565 0.291782 -0.583565 2.3 4.7 0.578336 0.578336 0.289168 -0.578336 2.4 4.7 0.572925 0.572925 0.286463 -0.572925 2.5 4.7 0.567338 0.567338 0.283669 -0.567338 2.6 4.7 0.561581 0.561581 0.28079 -0.561581 2.7 4.7 0.555659 0.555659 0.27783 -0.555659 2.8 4.7 0.549581 0.549581 0.27479 -0.549581 2.9 4.7 0.543351 0.543351 0.271675 -0.543351 3 4.7 0.536977 0.536977 0.268489 -0.536977 3.1 4.7 0.530466 0.530466 0.265233 -0.530466 3.2 4.7 0.523824 0.523824 0.261912 -0.523824 3.3 4.7 0.517058 0.517058 0.258529 -0.517058 3.4 4.7 0.510176 0.510176 0.255088 -0.510176 3.5 4.7 0.503184 0.503184 0.251592 -0.503184 3.6 4.7 0.496089 0.496089 0.248044 -0.496089 3.7 4.7 0.488899 0.488899 0.244449 -0.488899 3.8 4.7 0.48162 0.48162 0.24081 -0.48162 3.9 4.7 0.47426 0.47426 0.23713 -0.47426 4 4.7 0.466825 0.466825 0.233413 -0.466825 4.1 4.7 0.459324 0.459324 0.229662 -0.459324 4.2 4.7 0.451762 0.451762 0.225881 -0.451762 4.3 4.7 0.444147 0.444147 0.222073 -0.444147 4.4 4.7 0.436486 0.436486 0.218243 -0.436486 4.5 4.7 0.428785 0.428785 0.214392 -0.428785 4.6 4.7 0.421052 0.421052 0.210526 -0.421052 4.7 4.7 0.413292 0.413292 0.206646 -0.413292 4.8 4.7 0.405514 0.405514 0.202757 -0.405514 4.9 4.7 0.397723 0.397723 0.198861 -0.397723 -5 4.8 0.382587 0.382587 0.191293 -0.382587 -4.9 4.8 0.390237 0.390237 0.195119 -0.390237 -4.8 4.8 0.397882 0.397882 0.198941 -0.397882 -4.7 4.8 0.405514 0.405514 0.202757 -0.405514 -4.6 4.8 0.413127 0.413127 0.206564 -0.413127 -4.5 4.8 0.420715 0.420715 0.210357 -0.420715 -4.4 4.8 0.428271 0.428271 0.214135 -0.428271 -4.3 4.8 0.435788 0.435788 0.217894 -0.435788 -4.2 4.8 0.443259 0.443259 0.22163 -0.443259 -4.1 4.8 0.450679 0.450679 0.225339 -0.450679 -4 4.8 0.458039 0.458039 0.22902 -0.458039 -3.9 4.8 0.465334 0.465334 0.232667 -0.465334 -3.8 4.8 0.472556 0.472556 0.236278 -0.472556 -3.7 4.8 0.479697 0.479697 0.239849 -0.479697 -3.6 4.8 0.486752 0.486752 0.243376 -0.486752 -3.5 4.8 0.493713 0.493713 0.246857 -0.493713 -3.4 4.8 0.500574 0.500574 0.250287 -0.500574 -3.3 4.8 0.507327 0.507327 0.253663 -0.507327 -3.2 4.8 0.513965 0.513965 0.256983 -0.513965 -3.1 4.8 0.520482 0.520482 0.260241 -0.520482 -3 4.8 0.526871 0.526871 0.263435 -0.526871 -2.9 4.8 0.533125 0.533125 0.266562 -0.533125 -2.8 4.8 0.539237 0.539237 0.269619 -0.539237 -2.7 4.8 0.545201 0.545201 0.272601 -0.545201 -2.6 4.8 0.551011 0.551011 0.275506 -0.551011 -2.5 4.8 0.55666 0.55666 0.27833 -0.55666 -2.4 4.8 0.562142 0.562142 0.281071 -0.562142 -2.3 4.8 0.567451 0.567451 0.283726 -0.567451 -2.2 4.8 0.572582 0.572582 0.286291 -0.572582 -2.1 4.8 0.577527 0.577527 0.288764 -0.577527 -2 4.8 0.582282 0.582282 0.291141 -0.582282 -1.9 4.8 0.586842 0.586842 0.293421 -0.586842 -1.8 4.8 0.591201 0.591201 0.2956 -0.591201 -1.7 4.8 0.595353 0.595353 0.297677 -0.595353 -1.6 4.8 0.599296 0.599296 0.299648 -0.599296 -1.5 4.8 0.603023 0.603023 0.301511 -0.603023 -1.4 4.8 0.606531 0.606531 0.303265 -0.606531 -1.3 4.8 0.609815 0.609815 0.304907 -0.609815 -1.2 4.8 0.612871 0.612871 0.306436 -0.612871 -1.1 4.8 0.615697 0.615697 0.307849 -0.615697 -1 4.8 0.618289 0.618289 0.309144 -0.618289 -0.9 4.8 0.620643 0.620643 0.310321 -0.620643 -0.8 4.8 0.622756 0.622756 0.311378 -0.622756 -0.7 4.8 0.624627 0.624627 0.312314 -0.624627 -0.6 4.8 0.626254 0.626254 0.313127 -0.626254 -0.5 4.8 0.627633 0.627633 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3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,6,6,6,6,6,6,6,6,8,8,8,8,8,8,8,8,12,12,12,12,12,12,12,12,10,10,11,12,12,13,14,14,12,11,10,9,10,11,12,13,14,15,16,17,19,20,21,22,22,22,22,21,21,24,29,33,36,39,43,47,47,44,40,38,38,37,38,39,39,37,32,28,23,23,25,29,36,45,53,58,63,67,71,72,69,61,52,46,36,36,40,48,59,68,71,71,67,58,48,39,31,26,30,36,48,57,67,75,81,84,79,71,67,60,56,60,64,64,65,67,67,65,64,65,70,76,83,88,88,88,88,88,90,93,95,97,101,94,87,80,71,62,60,64,67,69,72,74,75,74,72,71,75,69,66,66,64,58,53,53,49,48,46,41,36,33,33,34,42,53,62,64,63,62,59,55,57,61,66,68,67,60,49,39,28,32,40,47,52,53,52,51,50,61,81,110,140,159,157,146,128,102,83,72,57,50,50,45,40,35,35,41,48,51,55,60,54,47,39,34,34,36,36,35,36,35,33,32,31,33,37,40,49,54,64,75,81,80,73,68,58,50,41,37,33,32,35,41,43,46,49,52,53,56,59,62,55,54,49,42,37,40,50,59,68,71,71,62,49,40,38,41,48,49,54,56,46,29,20,20,23,26,33,42,49,51,50,48,47,42,36,31,30,31,32,32,33,33,32,32,32,32,33,33,31,31,28,24,22,23,29,34,46,49,51,51,48,40,32,27,19,20,23,26,29,31,32,33,32,31,32,35,38,41,42,41,37,33,28,26,27,30,32,32,33,29,25,23,24,26,27,28,29,29,26,22,18,20,25,30,37,37,37,35,30,24,19,15,15,15,16,17,19,21,23,24,28,30,32,34,32,29,24,22,24,24,25,26,28,31,33,34,33,32,30,27,25,23,22,22,21,21,20,18,17,16,15,14,15,17,20,24,27,28,29,29,30,30,31,31,30,29,29,28,29,29,29,29,28,27,26,25,26,24,21,18,17,17,18,19,13,13,12,12,12,11,11,11,8,9,10,11,10,9,8,7,7,7,7,6,6,5,5,5,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 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3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,6,6,6,7,7,8,8,8,8,9,10,11,11,11,11,10,11,11,12,13,13,12,11,11,13,13,14,14,15,16,17,17,16,15,14,13,12,12,11,11,11,12,15,18,20,22,23,23,22,21,20,18,17,16,16,16,16,17,18,20,20,21,20,20,23,25,27,29,30,29,29,28,30,33,36,39,41,40,39,37,35,34,31,28,26,25,24,25,21,23,26,30,34,39,46,51,52,52,52,50,45,38,31,27,23,21,23,31,38,43,51,58,67,77,88,95,99,98,90,80,64,51,39,35,34,35,38,43,45,46,47,51,55,57,56,54,44,39,33,29,29,31,32,33,34,33,31,29,29,29,31,31,31,36,43,50,61,72,77,76,74,64,52,43,37,35,38,44,50,54,58,58,53,46,39,35,35,45,57,68,79,86,85,79,69,64,59,55,55,56,57,57,69,80,94,103,107,102,86,70,52,46,44,53,66,81,97,109,128,139,149,149,140,123,100,82,66,56,48,48,47,42,36,33,38,45,56,68,75,74,69,63,54,53,54,54,53,48,42,37,27,28,31,38,47,55,60,62,59,50,42,37,32,27,27,31,34,43,53,58,62,65,61,55,45,35,27,26,30,36,45,53,60,60,58,53,43,34,33,38,41,47,54,55,49,41,34,32,37,41,47,54,58,57,51,46,34,31,27,26,26,27,26,26,22,21,20,21,24,29,34,38,47,51,58,65,68,67,65,63,51,44,35,27,22,19,16,14,18,19,21,24,26,27,28,28,31,29,27,24,23,22,23,23,23,22,23,25,28,29,28,26,20,19,18,21,26,31,35,37,37,32,27,23,22,22,22,21,21,21,21,20,21,22,23,24,17,17,17,18,20,23,25,26,23,22,19,17,17,19,22,24,33,38,44,51,54,53,51,49,41,39,37,34,33,33,34,35,35,35,34,33,34,35,37,39,37,35,31,26,23,20,19,18,22,21,21,20,20,19,18,18,19,20,21,23,25,27,28,29,26,26,26,27,29,31,33,34,33,30,28,26,27,26,25,23,22,19,15,12,12,11,10,8,9,8,7,6,6,6,6,7,5,5,5,5,5,5,5,5,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,3,3,2,2,2,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,6,6,6,7,7,8,8,8,9,9,10,10,11,11,11,11,12,12,13,13,13,13,12,12,14,14,14,15,16,17,17,18,17,17,16,16,15,13,12,11,11,12,14,17,20,22,24,25,23,22,21,20,18,17,17,16,16,17,17,18,19,19,19,19,23,23,25,26,26,26,25,24,27,31,36,41,44,45,43,42,39,37,33,30,27,26,25,25,22,23,24,26,30,36,44,49,52,53,53,51,46,38,30,25,21,19,21,29,35,40,47,54,60,68,77,82,85,85,77,67,56,45,35,33,34,34,36,40,41,41,44,49,54,57,58,57,48,42,34,28,27,29,32,33,32,32,32,31,31,31,31,31,30,33,38,45,55,66,75,78,80,73,63,54,48,45,46,48,53,56,58,58,53,46,38,33,33,42,53,62,72,78,76,70,60,56,53,52,54,56,58,58,65,75,87,98,104,100,84,67,54,46,42,49,62,79,97,112,130,140,148,145,134,114,90,71,53,45,40,42,43,40,36,36,41,46,54,62,66,65,60,57,51,52,52,52,48,42,35,30,28,30,35,43,51,58,63,65,62,54,47,42,36,30,29,32,33,45,58,67,74,77,74,68,58,46,36,33,34,39,47,56,65,67,68,63,52,40,34,33,33,37,40,40,37,34,33,33,36,40,46,52,55,53,48,44,36,33,31,30,30,29,27,24,21,20,19,21,26,34,42,47,53,56,61,64,65,62,58,55,44,39,31,25,21,19,17,16,19,20,21,23,24,26,27,27,29,27,24,22,20,20,21,22,22,21,22,24,26,27,26,24,19,18,20,24,31,37,41,42,40,35,28,23,21,20,20,19,20,20,20,21,21,22,23,24,15,16,17,19,21,23,24,25,23,21,19,18,19,21,24,27,35,40,46,52,53,51,47,43,33,31,29,27,27,28,29,31,35,35,34,34,34,35,35,36,35,32,28,24,20,17,16,16,18,18,18,18,18,17,17,17,18,19,20,22,25,27,30,31,28,28,28,29,31,33,35,36,35,33,30,28,28,27,25,24,23,19,15,12,11,10,8,7,9,8,7,6,6,6,6,7,5,5,5,5,5,5,5,5,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,3,3,2,2,2,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,6,6,6,7,7,8,8,8,9,9,9,9,10,10,11,11,13,13,14,14,14,14,13,13,14,15,15,16,17,18,18,18,18,19,19,19,18,16,15,14,13,13,15,17,19,21,23,24,22,22,22,21,21,20,19,18,17,17,17,17,17,18,18,19,22,23,23,24,24,23,23,23,26,30,36,43,48,49,49,48,44,41,37,33,30,27,26,26,24,24,24,24,26,32,39,45,51,51,51,49,43,35,27,22,20,18,20,27,33,36,42,48,53,59,65,68,70,70,63,54,46,37,30,31,33,33,33,36,35,36,39,45,52,57,59,60,52,46,37,31,30,33,36,37,36,36,36,36,35,35,34,33,33,33,37,44,53,64,75,82,84,81,75,67,60,56,54,51,56,56,57,56,52,45,37,32,29,38,47,56,64,70,68,62,53,51,50,50,54,57,58,58,62,71,82,92,99,97,82,67,52,44,39,46,59,77,96,111,126,135,141,136,123,104,79,61,45,38,34,36,38,37,36,38,43,48,54,59,61,59,56,55,51,52,52,49,43,36,30,26,29,34,42,51,59,64,68,70,66,59,53,48,42,34,32,34,37,50,66,78,87,92,88,82,72,60,48,42,42,44,51,58,69,74,77,73,63,52,42,37,35,35,33,31,30,29,31,32,33,37,42,46,47,46,43,41,38,37,36,36,35,33,29,26,22,21,22,25,31,40,49,54,59,60,60,59,56,52,47,44,33,29,24,21,20,20,20,19,21,22,22,23,24,26,27,28,27,25,23,21,20,20,20,21,20,20,20,22,24,25,23,22,18,19,22,28,35,41,44,45,40,35,27,21,19,19,19,18,18,18,19,20,21,22,22,23,17,17,19,21,23,24,25,25,23,21,19,19,20,23,27,29,36,40,46,50,50,46,40,36,25,24,22,21,22,24,26,28,33,34,34,34,34,33,33,32,30,28,25,21,17,15,14,14,15,16,16,16,16,16,17,17,18,18,20,21,24,28,30,32,30,30,30,31,33,35,37,38,37,35,31,29,28,27,25,23,22,19,15,12,11,10,8,6,9,8,7,6,6,6,6,7,5,5,5,5,5,5,5,5,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,3,3,2,2,2,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,5,5,5,5,5,5,5,5,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,6,6,6,7,7,8,8,8,10,9,9,9,9,10,11,12,13,14,15,15,15,15,14,13,15,15,16,17,18,18,19,19,19,20,21,22,22,20,19,17,16,16,16,17,18,19,21,22,21,21,22,23,23,22,21,21,19,18,17,17,17,18,18,19,21,21,21,21,22,22,22,22,26,30,37,44,50,54,56,56,51,49,44,38,34,30,28,27,27,27,26,26,27,31,37,42,49,49,48,45,40,32,25,21,21,19,21,27,31,33,37,43,46,51,55,56,57,56,50,41,38,31,27,29,33,32,32,33,31,32,35,42,51,58,61,63,56,51,43,38,38,41,44,45,46,45,44,42,40,39,38,37,37,36,39,46,54,63,75,86,86,88,87,80,74,69,63,56,58,56,54,52,49,44,37,32,28,36,44,50,58,63,60,54,49,48,47,50,53,56,57,57,59,67,78,86,92,92,81,70,53,46,42,49,61,76,92,105,117,125,130,126,114,97,76,59,42,35,30,31,33,33,36,40,44,49,55,60,60,59,57,57,55,54,51,45,38,31,27,26,29,38,50,61,68,72,75,76,71,65,59,54,48,39,35,37,43,56,73,86,96,102,99,93,82,70,57,52,50,50,55,62,71,78,82,79,72,65,55,47,39,36,31,27,25,26,28,30,31,34,38,39,39,38,38,39,40,39,40,41,41,38,32,28,23,24,25,29,36,45,53,58,62,60,57,52,46,41,36,34,24,22,19,19,21,24,25,26,27,27,26,25,25,26,27,27,25,25,24,24,23,22,21,20,20,19,19,20,22,23,22,20,19,20,24,30,38,43,45,45,38,32,25,19,17,18,19,19,17,18,19,21,22,22,22,22,20,21,23,24,25,26,26,26,24,22,21,20,21,24,28,30,36,39,43,45,43,39,33,29,20,19,18,17,19,21,24,26,32,32,33,34,33,32,30,28,26,24,21,17,15,14,13,13,14,14,14,15,15,16,17,17,19,19,20,21,24,27,30,32,32,32,32,33,35,37,39,40,38,36,32,29,28,27,24,22,21,18,14,11,10,10,8,7,9,8,7,6,6,6,6,7,5,5,5,5,5,5,5,5,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,3,3,2,2,2,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,5,5,5,5,5,5,5,5,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,6,6,6,7,7,8,8,8,10,10,9,8,9,10,11,12,14,14,15,16,16,15,14,14,16,16,17,17,18,19,20,20,20,21,23,25,25,24,23,21,20,19,18,17,17,17,18,19,19,20,22,24,24,24,24,23,20,19,18,17,17,18,19,20,19,18,18,19,19,20,21,22,27,31,37,45,52,58,61,63,60,57,51,45,39,34,32,30,29,29,30,29,30,33,39,43,48,47,46,42,37,31,25,21,23,20,22,27,30,31,34,39,40,44,46,46,46,46,40,32,33,27,25,30,34,33,31,32,29,30,34,42,51,60,64,66,63,58,52,49,49,53,56,57,57,55,52,48,45,43,42,41,41,39,41,49,55,63,76,89,92,98,101,96,91,85,74,64,59,55,51,48,46,43,37,33,33,39,46,50,56,59,56,49,46,45,46,48,52,54,54,53,53,63,73,79,83,84,78,70,58,51,48,54,63,72,82,92,99,107,113,111,103,91,74,60,43,36,29,29,29,30,35,41,44,50,57,62,63,62,61,62,60,57,51,42,33,27,27,28,38,49,63,75,80,81,80,80,75,69,64,60,53,43,39,39,43,57,73,86,97,103,101,96,85,74,63,58,56,56,60,66,70,78,84,82,79,75,68,59,44,39,31,26,24,25,28,30,31,33,35,34,32,32,35,38,39,40,42,44,44,40,34,29,24,25,28,33,40,48,55,59,60,56,49,42,35,30,27,26,22,20,19,21,25,29,32,32,36,34,31,28,26,25,25,25,24,25,26,27,26,24,22,20,20,20,19,21,23,23,22,20,20,22,26,32,39,43,44,44,35,29,22,17,16,17,19,20,17,18,20,22,24,24,24,24,24,25,26,28,28,28,27,27,25,24,22,21,22,25,28,31,36,37,39,39,36,31,26,23,16,15,15,15,17,20,24,26,30,31,32,33,32,30,27,25,22,20,17,15,13,13,13,13,13,13,14,14,15,16,17,17,20,20,20,21,23,26,30,32,33,33,34,35,36,38,40,41,39,36,32,29,28,26,23,21,19,16,13,11,10,10,9,8,9,8,7,6,6,6,6,7,5,5,5,5,5,5,5,5,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,3,3,2,2,2,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,5,5,5,5,5,5,5,5,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,6,6,6,7,7,8,8,8,11,10,9,8,9,10,12,13,14,15,15,16,16,15,15,14,16,16,17,18,19,19,20,20,20,22,24,26,27,27,25,24,23,21,19,17,16,16,16,17,18,20,22,24,25,26,25,25,21,20,19,18,17,18,19,20,16,16,16,17,18,19,20,21,28,32,38,45,53,60,65,67,66,63,57,49,43,38,34,33,30,31,32,32,34,37,42,46,47,46,44,41,36,30,26,23,24,22,23,27,30,30,32,36,37,41,42,41,40,40,34,27,31,26,25,31,35,34,32,32,28,30,34,42,52,61,67,69,70,65,60,58,60,63,66,67,64,61,57,52,48,45,44,43,43,40,43,51,56,62,75,89,98,107,112,108,103,97,85,72,59,55,49,46,44,42,38,34,40,45,51,54,57,59,55,48,44,43,44,47,50,52,52,50,47,57,68,73,75,76,73,68,58,52,49,53,59,63,70,76,80,88,95,95,90,81,68,56,45,37,29,27,27,29,35,42,43,50,59,64,65,64,64,65,63,60,52,40,30,26,27,30,50,61,76,87,89,86,82,80,78,72,67,63,55,46,40,41,40,53,69,82,92,99,98,93,84,74,64,61,60,60,64,69,68,77,83,82,81,81,75,67,48,42,34,27,26,28,31,33,31,33,33,31,29,30,34,38,38,39,42,45,45,41,35,30,24,26,29,34,41,48,54,58,55,50,42,33,26,22,21,20,23,22,22,24,29,33,36,37,42,40,35,31,27,24,23,22,24,25,28,29,28,26,22,20,22,21,21,22,24,24,22,21,21,23,27,33,40,43,43,42,32,27,20,15,15,17,20,21,18,19,22,24,25,26,25,25,27,28,29,30,30,29,28,27,26,24,22,21,22,25,28,31,35,36,36,35,32,27,22,19,14,14,13,14,16,20,24,26,28,30,32,33,31,28,25,23,19,18,16,14,13,12,13,14,12,13,13,14,16,17,17,18,21,21,20,21,23,26,29,31,34,34,34,36,37,39,41,42,39,36,32,29,27,25,23,20,18,15,12,10,10,11,10,9,9,8,7,6,6,6,6,7,5,5,5,5,5,5,5,5,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,3,3,2,2,2,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,6,6,6,7,7,8,8,8,8,8,8,9,9,10,10,10,14,14,13,13,13,14,15,16,17,17,17,18,18,19,19,19,23,25,27,28,29,29,29,28,26,25,23,20,18,16,16,15,15,17,20,24,26,27,28,28,27,25,24,22,20,19,19,19,17,17,17,17,18,19,20,21,27,29,33,40,49,59,68,72,71,68,62,53,44,38,36,36,34,36,39,40,40,41,44,46,49,48,46,42,37,32,27,24,25,27,29,31,33,33,33,33,31,32,33,35,36,35,33,30,29,28,29,33,33,30,31,35,33,34,39,49,58,63,66,69,65,65,66,67,68,70,73,76,69,66,62,56,51,46,43,41,37,42,47,50,54,62,73,83,97,111,120,116,110,104,87,68,56,49,40,37,38,42,43,44,49,50,53,58,63,61,55,50,45,42,41,45,50,51,48,43,43,55,60,62,80,102,94,70,68,63,58,58,59,58,53,48,56,60,66,71,72,69,65,62,50,44,35,31,31,33,34,34,44,48,55,62,67,70,71,72,66,61,51,38,28,27,36,44,63,71,82,90,91,88,83,80,75,76,73,65,56,50,41,33,38,46,59,73,82,87,86,85,75,71,65,62,61,62,62,61,67,69,75,80,83,81,75,70,56,44,31,27,26,27,31,36,39,39,38,35,32,31,33,35,38,40,43,44,42,38,32,29,28,30,34,39,42,45,46,47,43,37,29,23,23,25,28,29,30,30,31,34,37,41,45,48,49,48,45,39,31,25,22,21,26,28,31,33,34,33,30,29,26,24,24,24,25,24,22,20,18,21,26,34,41,43,42,41,31,27,22,20,19,20,20,20,23,23,23,26,29,31,30,29,33,33,33,32,30,27,24,22,22,22,21,23,26,29,30,30,38,38,36,33,29,23,18,15,11,12,14,16,19,20,21,22,30,30,31,31,29,26,22,20,13,13,12,11,11,11,12,12,15,15,15,16,17,18,19,20,22,23,23,23,22,24,27,30,33,34,36,38,40,41,41,42,37,35,32,29,27,23,19,15,16,15,12,10,9,10,11,12,9,9,9,8,8,7,7,7,5,5,5,5,5,5,5,5,5,5,5,4,4,3,3,3,5,5,5,4,4,3,3,3,4,4,4,3,3,2,2,2,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,6,6,7,7,7,8,8,8,8,8,8,9,9,9,10,10,13,13,13,13,13,14,15,16,17,17,18,18,19,20,20,20,22,23,25,27,28,28,28,28,27,25,23,21,19,17,16,16,15,16,19,22,25,26,27,27,26,25,24,23,21,20,19,19,17,17,16,16,16,18,19,20,26,28,33,40,49,59,67,72,72,69,62,53,44,38,36,37,37,40,43,46,46,48,50,52,55,54,52,48,43,37,32,29,29,30,32,34,34,33,32,31,29,30,31,33,35,35,34,32,34,31,31,33,31,29,31,37,45,48,55,63,68,69,67,65,64,65,67,68,69,71,73,75,70,68,63,57,51,47,43,42,39,43,48,51,54,61,71,79,95,109,119,116,110,102,84,65,49,43,37,36,40,46,50,51,59,59,61,64,67,64,56,50,43,41,40,42,47,48,45,41,44,53,58,62,77,93,89,72,72,67,63,61,61,57,50,44,44,48,54,59,62,62,61,59,53,47,40,35,34,34,33,32,43,47,53,61,67,71,73,74,68,63,52,39,29,30,38,46,64,71,81,87,88,84,79,76,72,75,74,66,59,52,43,34,34,41,53,66,76,80,80,78,71,67,61,58,57,58,58,58,59,61,67,73,78,78,75,72,58,46,33,28,27,29,34,40,44,44,43,41,37,34,34,35,37,39,42,43,41,36,31,28,24,26,30,34,37,38,39,39,36,32,26,24,26,30,33,35,40,39,39,40,43,48,53,56,55,54,51,44,36,30,26,25,28,31,35,38,38,37,34,31,29,27,26,26,27,27,25,23,19,21,26,33,38,41,40,38,32,29,24,22,23,24,24,24,26,25,26,28,31,33,33,32,33,33,32,30,28,25,23,21,22,23,24,27,30,31,32,31,37,37,36,34,29,24,18,15,14,15,17,19,20,21,22,23,29,29,30,30,28,24,21,19,13,12,12,11,11,12,12,13,16,16,16,16,17,18,19,20,21,22,23,22,22,23,27,30,32,34,36,38,40,42,42,42,37,34,31,28,26,23,19,15,16,15,12,10,9,10,11,12,9,9,9,8,8,7,7,7,5,5,5,5,5,5,5,5,5,5,5,4,4,3,3,3,5,5,5,4,4,3,3,3,4,4,4,3,3,2,2,2,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,6,6,6,6,6,6,6,6,6,7,7,7,8,8,8,8,7,7,8,8,9,9,9,9,11,11,11,12,13,14,16,17,17,17,18,19,20,21,22,22,21,22,24,25,27,27,28,28,27,26,24,21,19,18,17,17,14,15,18,21,23,25,26,26,26,26,25,25,24,22,21,20,17,16,15,15,15,16,17,18,25,27,32,40,49,58,66,70,72,69,62,53,44,39,37,38,42,45,50,53,55,57,59,61,61,60,58,53,48,42,37,33,34,35,37,38,37,34,30,28,27,28,29,31,33,34,35,36,40,37,35,34,30,27,31,39,53,62,74,82,84,78,68,61,60,61,63,65,68,69,70,71,68,66,62,56,51,47,44,43,42,46,50,53,55,60,68,74,90,104,114,113,107,96,76,58,38,35,33,37,46,56,63,65,73,72,71,71,70,64,55,47,41,39,37,39,43,43,41,37,37,42,48,56,67,76,76,70,74,71,68,66,63,57,48,40,36,39,43,47,51,54,56,57,55,51,46,42,39,37,34,31,40,44,51,59,66,71,74,75,70,64,53,40,32,32,40,48,65,70,77,81,80,76,72,69,69,73,75,70,64,57,46,37,31,37,46,58,68,73,73,71,66,61,55,51,51,52,53,53,49,51,56,63,70,74,74,73,61,49,35,29,28,30,37,45,51,52,52,49,44,39,37,36,37,39,40,41,39,34,29,26,23,24,27,30,32,33,33,32,28,26,25,27,32,39,43,45,50,48,45,44,47,53,59,63,64,62,58,51,41,34,30,28,30,33,39,43,44,41,37,34,33,31,29,29,30,30,28,26,21,22,26,31,35,38,36,35,33,30,27,26,27,28,28,28,28,28,28,30,33,35,35,34,33,32,30,28,26,23,21,20,23,26,29,33,35,35,34,33,37,37,37,35,32,26,21,17,19,19,20,21,22,22,23,23,27,28,28,28,26,22,19,16,13,12,12,11,11,12,13,13,16,16,17,17,18,19,19,20,20,21,22,22,21,23,26,29,32,33,36,39,41,42,43,43,36,33,29,26,24,22,18,15,16,14,12,11,10,10,11,12,9,9,9,8,8,7,7,7,5,5,5,5,5,5,5,5,5,5,5,4,4,3,3,3,5,5,5,4,4,3,3,3,4,4,4,3,3,2,2,2,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,6,6,6,6,6,6,6,6,7,7,7,7,7,7,7,7,7,7,7,8,8,8,9,9,7,8,8,8,9,9,9,9,10,10,10,11,12,14,15,16,17,17,18,19,21,22,23,24,21,21,22,24,25,26,27,27,27,25,24,21,20,18,18,18,13,15,17,19,22,24,25,26,26,27,28,29,28,26,24,23,19,17,15,14,14,15,17,18,24,27,32,39,48,56,63,67,70,67,60,51,42,38,37,38,44,49,55,60,62,64,66,67,64,63,60,56,50,44,39,35,38,40,41,41,39,35,30,27,27,28,29,30,31,33,37,40,47,44,41,37,29,24,30,40,56,71,89,99,98,87,71,58,50,52,54,58,62,63,62,61,59,58,56,53,50,47,45,44,45,48,53,56,58,61,66,70,83,95,105,106,99,85,65,48,30,30,33,43,57,71,79,83,86,82,78,75,71,63,52,44,39,37,36,36,38,38,36,34,32,34,41,52,59,63,67,73,73,73,73,72,69,61,51,43,41,40,40,42,44,48,51,54,54,53,51,49,45,41,36,33,37,41,48,56,64,70,74,75,68,62,51,40,33,34,41,47,61,65,69,71,68,64,61,59,65,71,76,74,69,62,52,41,33,36,44,55,65,71,72,70,62,56,50,46,45,46,47,47,42,44,47,54,62,68,71,72,63,51,37,30,28,30,39,48,57,59,60,57,51,45,40,39,38,39,40,40,37,32,27,24,23,25,27,29,30,30,30,29,24,24,27,33,42,49,54,56,54,51,46,44,46,52,60,66,71,69,64,55,44,35,30,28,30,35,41,45,46,43,38,35,33,32,30,31,32,32,30,28,23,23,25,29,33,35,34,33,33,31,30,30,31,32,31,30,29,28,27,29,32,35,35,35,33,31,28,26,23,21,20,20,25,30,36,40,41,39,37,35,38,39,40,39,36,30,25,22,22,22,21,21,21,21,22,22,26,26,27,26,24,20,16,14,12,12,11,11,11,12,13,14,17,17,18,19,19,20,20,19,19,20,21,21,21,23,26,29,31,33,36,40,42,42,42,42,34,31,27,24,22,20,17,15,15,14,13,11,10,10,11,11,9,9,9,8,8,7,7,7,5,5,5,5,5,5,5,5,5,5,5,4,4,3,3,3,5,5,5,4,4,3,3,3,4,4,4,3,3,2,2,2,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,6,6,6,6,6,6,6,6,7,7,7,7,7,7,7,7,7,7,8,8,8,9,9,9,8,8,9,9,9,10,10,10,10,10,10,10,11,13,14,15,15,16,17,19,21,23,24,25,22,22,22,23,24,25,26,26,26,25,23,21,19,18,18,18,14,14,16,18,21,23,25,26,28,30,33,34,34,32,29,27,22,20,17,15,14,15,17,19,25,27,32,39,47,54,60,63,65,61,55,46,38,35,35,37,44,50,57,63,66,68,69,70,66,64,62,58,52,46,41,38,41,42,43,42,40,36,32,29,30,31,31,30,30,33,39,43,53,52,50,43,31,24,30,41,63,83,105,114,109,94,71,53,39,40,44,50,54,55,52,49,47,48,49,50,49,48,47,46,46,50,55,59,62,64,66,67,77,85,93,94,86,71,52,38,27,29,38,53,71,87,95,98,98,92,84,77,70,62,52,44,39,37,35,34,34,34,33,31,33,34,42,53,58,60,67,77,72,74,77,79,76,70,61,54,50,47,43,40,39,41,45,47,52,53,54,53,49,44,39,36,35,38,44,52,59,65,70,72,64,58,49,39,34,34,40,44,54,56,58,57,54,51,49,49,60,68,75,76,73,67,56,46,38,39,44,54,66,73,75,73,61,55,48,42,41,42,43,43,41,42,45,50,58,65,68,70,64,52,40,32,28,29,38,48,59,61,62,61,55,49,44,42,42,42,42,40,36,30,25,22,22,24,26,28,29,30,29,29,27,29,34,42,51,58,61,62,54,50,44,41,43,51,60,66,77,74,68,58,46,36,30,27,30,34,40,44,45,41,36,32,31,30,30,32,34,33,31,29,25,24,25,28,32,35,35,35,35,34,33,33,34,34,32,30,27,26,25,26,30,32,33,33,32,30,26,23,21,21,21,22,28,34,42,46,45,41,38,37,39,40,42,43,40,35,30,26,23,22,21,20,19,20,20,21,25,26,26,25,22,19,15,12,11,11,11,11,11,12,13,14,18,18,19,20,21,20,20,19,18,19,20,20,20,22,26,29,31,33,37,40,41,41,40,39,33,29,25,22,20,19,16,14,15,14,13,12,11,11,10,10,9,9,9,8,8,7,7,7,5,5,5,5,5,5,5,5,5,5,5,4,4,3,3,3,5,5,5,4,4,3,3,3,4,4,4,3,3,2,2,2,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,6,6,6,6,6,6,6,6,7,7,7,7,7,7,7,7,8,8,8,8,8,8,8,8,8,8,8,8,9,9,9,10,10,10,10,11,11,11,12,12,11,10,10,10,10,11,12,12,14,15,16,18,21,23,24,25,25,24,24,23,23,24,24,25,24,23,21,20,18,18,17,17,15,15,16,18,20,23,26,27,32,34,38,41,41,39,35,33,26,23,20,17,16,17,19,20,26,29,33,39,46,51,56,58,57,54,47,39,33,31,33,35,43,49,58,64,68,68,68,69,66,65,63,59,54,49,44,41,40,41,41,41,40,38,36,34,37,37,36,32,30,33,40,46,60,62,62,54,39,27,31,42,71,95,119,125,116,97,70,47,31,33,38,45,51,51,46,41,38,42,47,51,53,52,49,48,47,50,56,62,66,68,68,68,72,77,82,81,72,58,41,30,26,32,46,65,86,100,107,109,105,97,85,75,68,60,52,47,40,38,36,34,32,31,31,30,30,33,40,47,51,54,61,68,69,73,78,82,81,76,69,65,55,50,43,38,35,36,39,41,51,53,56,54,50,44,39,37,33,36,41,47,54,59,63,65,60,55,47,39,36,36,38,40,46,47,47,44,41,39,40,41,54,63,71,73,72,68,58,49,40,40,43,53,66,75,77,76,64,58,49,42,40,40,41,41,43,44,46,51,58,65,68,69,66,55,43,35,29,29,37,47,56,58,60,60,56,51,48,47,48,47,45,42,36,30,24,20,20,22,25,27,29,30,30,30,34,37,43,51,58,62,62,61,51,47,41,38,41,49,58,64,75,73,67,58,46,37,31,28,31,34,38,41,41,37,32,29,26,27,30,34,37,36,33,30,26,25,25,28,33,37,39,40,39,38,37,37,37,35,31,28,25,23,22,23,26,30,31,31,31,28,25,22,20,21,23,25,33,39,47,50,47,42,39,38,38,41,43,45,43,38,32,29,23,22,20,18,18,18,19,20,25,26,26,25,22,18,14,11,11,11,11,11,12,13,14,15,18,19,21,22,22,21,20,19,16,18,19,19,19,22,25,29,31,33,36,39,40,39,37,35,31,27,23,20,18,17,15,14,14,14,13,12,12,11,10,10,9,9,9,8,8,7,7,7,5,5,5,5,5,5,5,5,5,5,5,4,4,3,3,3,5,5,5,4,4,3,3,3,4,4,4,3,3,2,2,2,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,6,6,6,6,6,6,6,6,7,7,7,7,7,7,7,7,9,9,9,9,9,9,9,9,8,8,8,9,9,9,10,10,11,11,12,12,12,13,13,13,12,11,10,10,9,9,10,10,12,13,15,17,20,22,24,25,28,27,25,24,23,23,23,24,22,21,20,18,17,17,16,17,16,16,16,18,20,24,26,28,35,38,43,47,47,45,41,38,30,27,23,19,18,19,21,23,28,30,34,39,44,49,52,54,49,46,40,33,28,27,30,33,43,49,58,65,68,68,68,67,62,61,59,56,52,47,43,40,39,38,38,38,39,39,40,40,44,43,40,35,31,33,41,48,66,71,74,67,48,33,35,44,71,98,123,128,117,98,69,44,31,33,38,47,54,54,47,40,37,43,50,57,59,57,53,50,46,50,57,65,71,73,72,70,71,72,73,70,62,48,34,27,28,36,53,75,96,109,114,113,104,94,80,68,60,55,49,45,41,40,38,35,32,30,30,31,27,32,37,39,41,46,50,51,60,65,72,77,77,73,69,66,54,50,42,36,34,35,38,41,52,55,57,55,48,41,37,35,32,34,38,43,48,53,56,58,56,52,46,41,39,38,37,37,39,39,38,35,33,33,35,37,48,57,65,68,69,66,57,49,39,37,38,48,63,73,77,75,69,62,52,44,41,40,41,41,45,46,48,54,61,68,71,72,68,59,48,40,32,30,37,47,50,53,56,56,55,52,51,51,54,53,49,44,37,30,23,20,21,23,26,30,33,35,36,36,41,44,50,57,61,62,59,55,45,41,36,34,37,45,54,60,64,63,59,51,41,34,29,28,32,34,37,38,37,33,29,26,23,26,31,37,41,40,35,31,26,25,26,29,35,40,44,45,45,44,43,42,41,37,31,27,24,22,20,21,25,28,30,30,30,27,24,21,20,22,26,28,37,44,51,52,47,41,38,38,36,39,42,44,43,38,33,29,23,22,20,18,18,19,20,22,26,26,26,25,22,18,13,11,11,10,10,11,12,13,14,15,19,20,22,23,23,22,20,18,15,17,18,18,19,21,25,28,31,33,36,39,39,36,33,31,30,26,21,18,17,16,15,13,14,14,13,13,12,11,10,9,9,9,9,8,8,7,7,7,5,5,5,5,5,5,5,5,5,5,5,4,4,3,3,3,5,5,5,4,4,3,3,3,4,4,4,3,3,2,2,2,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,6,6,6,6,6,6,6,6,7,7,7,7,7,7,7,7,9,9,9,9,9,9,9,9,8,8,8,9,9,10,10,10,12,12,13,13,13,14,14,14,13,12,11,9,9,8,9,9,11,12,14,16,19,22,24,25,30,29,26,24,23,22,23,23,21,20,19,18,16,16,16,16,16,16,17,18,21,24,27,29,37,41,46,50,51,48,44,41,32,29,25,21,20,20,23,25,29,31,35,39,44,48,50,51,44,41,35,29,24,24,28,32,43,49,59,66,69,68,67,66,56,56,55,52,48,44,40,37,37,37,36,37,38,40,43,44,48,47,44,37,32,33,42,49,70,77,82,75,55,38,37,46,64,93,119,125,115,97,69,45,33,35,41,50,58,57,50,42,40,46,55,62,64,61,55,51,46,50,58,67,73,75,74,72,72,70,69,65,56,42,31,26,28,38,57,80,101,113,116,114,99,88,72,60,52,48,45,42,42,41,39,35,32,30,30,31,30,37,40,37,39,45,47,43,51,57,64,69,69,66,63,61,53,48,42,37,35,37,41,44,54,57,58,55,47,39,34,32,31,33,36,40,45,49,52,53,55,52,47,43,41,39,38,36,36,35,34,31,29,30,33,36,43,52,61,64,65,63,56,48,35,33,34,44,59,71,75,74,72,65,54,46,42,41,41,41,46,47,50,57,64,71,74,75,70,62,52,43,35,31,38,47,47,49,52,54,53,52,53,54,58,56,52,46,38,30,23,19,24,26,30,34,38,41,42,42,46,49,54,59,62,60,55,50,38,35,31,29,33,41,50,56,53,52,49,43,35,29,26,26,34,35,36,37,35,31,27,25,21,25,32,39,44,42,37,33,26,25,26,30,36,43,47,49,50,48,47,46,43,38,32,27,24,22,20,21,24,27,29,30,30,27,23,20,20,23,27,30,39,46,52,53,47,41,38,38,34,37,41,43,42,38,32,28,24,22,20,19,18,20,22,23,26,27,26,25,22,18,14,11,10,10,10,11,12,13,14,15,19,20,22,24,23,22,20,18,15,16,17,18,19,21,25,28,31,33,36,38,38,35,31,28,29,25,20,17,16,15,14,13,13,13,13,13,12,11,10,9,9,9,9,8,8,7,7,7,5,5,5,5,5,5,5,5,5,5,5,4,4,3,3,3,5,5,5,4,4,3,3,3,4,4,4,3,3,2,2,2,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,5,5,6,6,6,6,5,5,6,6,8,9,10,14,13,12,10,10,10,10,10,11,10,10,10,10,10,9,9,12,12,12,12,13,14,15,16,17,17,15,13,12,10,8,8,10,11,11,12,15,18,21,23,28,28,26,25,25,24,25,25,21,20,19,17,17,16,16,16,17,17,18,18,19,23,29,34,43,46,50,53,53,51,47,44,36,33,28,24,23,24,26,28,27,28,31,35,39,43,46,47,44,38,30,23,20,21,25,29,39,45,53,62,66,67,65,63,57,55,51,46,42,39,37,36,34,34,34,33,35,39,46,51,53,55,53,42,31,31,43,56,73,87,96,86,67,52,45,42,62,81,100,107,101,87,65,46,39,46,58,69,72,68,58,51,49,55,65,74,77,73,63,55,51,51,55,65,76,82,80,77,73,71,68,61,52,41,32,27,30,44,61,78,96,108,106,97,85,73,60,53,47,43,44,47,39,39,39,37,33,29,28,28,35,38,40,39,35,33,34,37,43,48,55,62,65,61,54,48,45,42,37,32,31,36,45,52,58,60,61,58,50,41,34,30,30,30,32,34,38,44,49,52,51,49,47,45,44,42,38,35,37,31,28,28,28,26,28,33,36,43,51,58,65,67,59,49,40,31,26,34,47,58,69,76,73,68,59,49,41,38,40,43,48,51,56,63,69,74,78,80,76,68,57,47,41,38,36,36,37,39,42,44,47,52,59,63,67,65,60,51,39,29,23,20,21,26,33,39,42,45,48,50,50,54,58,61,59,54,48,44,34,31,29,28,30,35,40,44,44,43,40,36,31,30,31,32,40,42,42,40,35,29,26,25,26,30,37,43,46,43,37,32,28,27,29,38,50,58,60,59,63,59,54,51,47,41,32,26,25,23,22,24,27,30,32,32,27,26,25,25,26,29,32,33,40,44,48,47,42,37,34,33,32,34,37,38,37,34,30,28,22,21,20,18,18,21,26,30,32,31,29,26,23,19,15,13,14,13,13,13,13,14,15,16,20,21,22,22,21,19,18,16,16,16,16,17,20,24,28,31,30,30,32,32,32,31,29,28,26,24,21,18,15,14,13,13,15,15,14,13,11,10,9,9,7,7,7,7,7,7,7,7,5,5,5,5,5,5,5,5,6,6,6,5,5,4,4,4,5,5,5,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,5,5,6,6,6,6,6,6,6,7,8,10,10,13,13,12,11,10,10,10,11,11,11,11,11,10,10,10,9,11,11,11,12,13,14,16,16,19,18,17,15,14,12,11,11,12,11,11,11,13,16,20,22,27,27,27,27,27,27,27,27,23,22,20,19,17,16,16,16,16,17,18,18,20,24,29,34,42,44,48,51,52,49,45,43,35,33,29,26,25,25,27,28,27,29,32,35,39,42,45,46,42,37,30,24,21,22,25,27,36,42,50,58,63,64,62,61,56,53,48,43,39,36,35,35,33,33,33,33,34,39,46,51,57,59,57,47,36,34,44,56,77,92,102,93,75,60,51,46,57,73,90,96,92,80,63,47,48,56,69,79,82,77,67,59,57,63,73,82,85,79,69,60,52,52,56,65,74,80,79,76,71,70,66,60,52,42,33,28,30,42,58,73,89,98,95,86,71,60,49,43,39,36,38,42,41,42,41,38,34,32,32,33,40,43,45,44,39,36,36,37,42,46,53,58,59,55,47,42,40,37,34,31,32,39,49,56,66,67,67,63,54,44,36,32,30,30,30,31,34,38,43,45,49,48,47,47,46,44,40,36,36,31,28,29,29,27,29,34,34,41,49,56,63,66,60,50,41,31,25,29,40,51,62,70,71,67,58,49,41,38,40,43,47,51,57,65,72,76,79,80,76,68,58,49,43,40,38,37,36,37,39,41,45,52,60,65,71,69,63,54,42,31,25,22,25,30,36,41,43,45,48,49,50,53,57,58,56,51,46,42,34,33,31,30,31,34,37,40,39,38,36,33,31,32,36,39,45,47,47,45,40,35,31,30,32,36,42,47,48,44,37,32,27,28,34,45,59,69,72,72,68,63,57,53,49,43,36,30,25,23,23,24,28,31,33,33,28,27,26,26,27,29,32,33,38,41,44,43,38,34,31,31,30,31,33,35,33,30,27,24,20,20,20,20,20,22,27,31,32,32,30,28,25,21,18,16,16,16,15,14,14,14,15,16,20,21,22,22,21,19,18,16,17,16,17,18,20,24,28,30,29,30,30,30,30,28,27,26,24,23,20,18,16,15,14,14,15,15,14,12,11,10,9,9,7,7,7,7,7,7,7,7,5,5,5,5,5,5,5,5,6,6,6,5,5,4,4,4,5,5,5,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,5,5,6,6,6,7,7,7,7,8,9,11,11,13,13,12,11,11,11,12,12,12,12,12,11,11,11,10,10,10,10,11,11,13,15,16,17,20,20,19,18,18,17,16,16,14,13,11,10,11,14,18,20,25,26,28,30,31,31,30,29,26,25,23,21,19,17,17,16,16,17,18,19,20,24,29,33,38,41,45,48,48,46,43,41,34,32,30,28,27,27,28,29,29,31,33,36,39,41,43,43,40,36,31,26,23,23,25,26,33,38,47,55,60,61,59,58,54,50,45,39,35,33,33,34,32,32,32,32,33,39,46,52,63,65,64,54,42,39,46,55,78,93,104,99,82,67,55,48,51,63,75,79,77,70,59,49,59,68,80,90,92,85,75,67,65,71,81,90,92,86,74,65,53,53,57,64,72,76,75,72,70,69,67,62,55,46,39,34,32,40,53,65,76,82,77,69,54,44,36,33,31,30,33,37,43,43,41,37,35,35,37,40,47,51,53,51,45,40,38,39,42,45,50,53,52,46,40,35,34,33,31,30,33,42,53,60,72,73,73,68,58,48,39,35,34,32,30,29,30,33,36,39,46,46,47,48,49,46,42,38,34,30,28,30,31,30,32,37,35,42,50,57,65,69,64,56,47,34,24,24,31,40,51,61,66,63,56,47,40,38,39,41,44,50,59,68,75,79,81,81,74,68,59,51,46,43,40,39,35,36,36,38,43,51,61,68,76,73,67,57,45,35,28,26,30,34,39,43,44,45,46,48,48,50,53,54,52,48,43,40,37,36,35,34,33,34,34,35,32,32,32,31,33,38,45,50,55,56,56,52,47,42,39,38,40,44,49,51,49,43,36,31,28,32,42,56,71,81,84,84,77,70,61,54,50,44,38,33,25,24,24,26,29,32,34,33,30,29,28,28,28,30,32,33,35,37,37,35,32,28,27,27,26,27,28,29,27,24,21,19,17,19,21,22,23,25,29,32,32,32,32,30,28,25,22,20,20,19,17,16,15,15,16,16,20,21,22,22,21,19,18,16,18,18,18,19,21,24,27,29,28,28,28,27,26,25,24,23,23,22,20,18,17,16,16,16,15,14,13,12,11,10,9,8,7,7,7,7,7,7,7,7,5,5,5,5,5,5,5,5,6,6,6,5,5,4,4,4,5,5,5,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,5,5,6,6,6,8,8,8,8,9,10,11,12,13,13,12,12,12,13,13,14,14,14,13,13,12,11,11,11,10,10,10,11,13,15,17,18,21,21,21,21,21,21,21,21,18,16,13,11,11,13,17,19,22,24,28,31,33,33,33,32,30,29,26,23,21,19,18,17,17,18,19,20,20,23,27,31,34,36,40,43,44,43,41,39,32,32,31,30,29,29,29,29,31,33,35,37,39,40,40,40,38,36,32,29,27,26,27,28,33,38,45,52,57,58,56,55,52,49,43,38,34,33,34,34,33,32,31,31,33,39,47,53,67,70,70,61,50,44,48,54,73,88,100,97,84,70,56,47,49,55,62,65,64,60,56,53,64,73,86,95,94,87,77,70,69,75,85,93,94,87,75,66,54,55,57,62,67,70,69,68,67,68,68,65,60,54,47,43,36,40,47,55,63,64,58,51,41,33,27,27,28,29,32,37,42,40,37,34,32,35,40,45,54,57,59,57,50,44,42,42,44,47,50,51,48,42,37,34,33,33,33,33,36,44,53,59,71,72,73,69,61,52,45,41,40,37,34,31,30,31,33,35,43,44,46,49,50,48,43,39,32,28,28,31,33,34,37,42,44,50,57,63,72,78,75,67,55,42,29,24,26,32,42,52,59,57,51,44,38,35,37,39,42,49,60,71,78,81,81,80,71,66,57,51,47,44,42,41,36,36,36,37,41,51,62,70,77,75,68,58,46,37,31,29,33,37,41,43,43,43,43,44,43,45,47,48,48,46,44,42,42,42,41,40,38,35,33,32,28,29,30,32,37,45,56,63,67,67,65,60,53,47,43,42,46,49,52,52,47,40,33,29,32,38,51,67,82,90,92,91,83,75,63,54,48,42,36,32,26,25,25,27,31,33,33,33,31,30,30,30,30,31,32,33,33,32,30,28,25,24,23,23,23,23,23,22,21,19,16,15,16,19,23,25,26,28,31,33,33,34,34,34,32,30,27,25,24,22,20,17,16,16,17,17,20,21,22,22,21,19,18,16,19,19,19,20,21,23,25,27,26,25,25,24,23,22,20,20,21,20,20,19,18,18,17,17,14,14,13,12,11,9,9,8,7,7,7,7,7,7,7,7,6,6,6,6,6,6,6,6,6,6,6,5,5,4,4,4,5,5,5,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,5,5,6,6,6,8,8,8,8,9,10,11,12,13,12,12,12,13,14,15,16,16,16,15,14,13,12,12,11,10,10,11,12,13,15,16,17,21,21,22,23,24,25,25,25,22,20,17,14,13,14,16,17,20,22,26,30,33,34,34,33,33,32,29,26,23,21,20,19,19,20,21,21,21,22,25,28,29,32,35,38,40,39,38,37,31,31,30,30,29,30,30,30,33,35,37,39,39,39,38,37,36,35,32,30,30,30,31,32,36,40,46,52,55,55,53,52,50,47,43,38,36,35,36,36,35,34,32,31,33,39,48,54,68,72,74,68,58,51,51,54,68,81,93,92,84,73,60,50,52,53,56,57,55,53,54,56,66,75,87,93,91,83,74,69,70,75,84,91,92,85,74,66,55,55,57,59,62,63,63,62,62,64,68,69,67,61,55,51,43,42,43,47,51,49,44,39,33,27,23,25,27,28,31,36,37,36,32,29,29,34,41,47,58,61,63,61,55,49,48,48,51,54,56,54,49,43,40,39,38,39,39,40,41,44,50,54,65,68,71,70,65,59,54,51,44,42,39,36,33,32,32,32,40,41,44,47,48,47,42,38,30,26,26,30,35,38,44,51,58,63,68,73,81,88,86,80,66,53,38,30,27,29,37,46,51,50,46,41,35,33,34,35,42,49,61,72,78,80,78,76,66,60,53,47,45,44,44,44,40,39,37,37,40,49,60,68,73,71,65,55,44,36,32,31,34,38,41,42,41,40,39,39,37,38,40,42,44,45,46,46,48,48,48,46,43,38,34,31,27,29,31,35,42,52,64,73,77,76,72,65,56,48,44,42,47,49,51,48,42,35,30,28,35,44,61,78,92,99,99,97,83,73,60,50,43,38,33,29,27,26,26,28,31,32,32,30,30,30,30,30,31,32,33,34,31,29,26,23,22,21,20,20,20,20,19,18,16,15,14,13,16,20,24,27,29,31,33,35,35,36,38,38,37,34,31,29,26,24,21,18,16,16,18,19,20,21,22,22,21,19,18,16,19,19,19,20,21,22,23,23,23,23,22,21,20,19,19,19,20,20,20,20,19,19,18,18,14,13,13,11,10,9,8,8,7,7,7,7,7,7,7,7,6,6,6,6,6,6,6,6,6,6,6,5,5,4,4,4,5,5,5,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,5,5,6,6,6,7,7,7,7,8,9,11,11,12,12,12,13,14,15,17,18,18,17,16,15,14,13,12,12,12,12,12,12,13,14,15,16,20,20,21,23,25,26,28,28,27,25,22,20,18,17,16,16,19,21,24,27,30,32,33,33,35,34,31,28,25,23,22,22,21,22,23,22,21,21,22,24,25,27,30,34,35,36,35,34,31,30,28,28,28,29,31,32,35,37,39,40,39,38,35,34,33,32,30,30,30,32,34,36,41,44,48,51,52,51,48,46,46,44,42,40,38,38,38,38,38,37,34,32,34,40,48,55,69,74,78,74,66,58,56,57,67,78,87,89,86,79,69,60,58,56,54,54,52,49,51,56,65,74,84,88,84,76,69,66,68,72,79,85,86,81,72,65,55,55,56,56,57,56,56,55,56,62,69,75,76,71,65,60,53,46,41,42,42,39,35,34,30,24,21,24,26,27,29,33,34,32,30,28,29,35,44,50,61,64,66,63,59,56,57,59,63,65,65,60,52,46,44,44,45,47,49,49,47,45,45,46,56,60,66,68,67,64,61,60,48,47,45,43,40,37,35,34,38,39,40,43,45,43,40,36,28,24,23,29,35,41,51,60,71,74,77,80,88,95,94,88,76,64,50,40,33,31,35,42,46,45,43,39,35,32,32,34,43,50,61,70,76,76,73,70,59,53,46,41,40,42,45,46,44,42,39,37,38,45,54,61,65,62,57,49,40,34,31,31,35,37,40,41,39,37,36,36,33,34,35,38,41,45,48,50,54,53,52,50,46,40,35,32,28,31,34,39,46,57,68,76,80,79,74,66,56,48,43,41,45,47,46,42,35,30,29,30,38,50,69,87,99,102,100,97,74,65,53,44,39,35,31,28,28,28,27,29,30,30,29,27,28,28,29,30,32,33,34,34,30,27,24,22,22,21,19,17,19,18,17,15,15,14,15,15,19,22,26,28,30,32,34,36,38,39,41,42,41,38,34,32,27,25,21,18,16,17,19,20,20,21,22,22,21,19,18,16,19,19,19,19,19,20,20,20,21,20,19,18,18,18,19,19,20,21,21,21,20,19,18,17,14,13,12,11,10,9,8,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,6,6,6,5,5,4,4,4,5,5,5,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,5,5,6,6,6,6,6,6,6,7,8,10,10,12,12,12,13,15,16,18,19,19,18,18,16,15,14,13,12,14,13,13,12,12,13,14,14,18,18,20,22,25,27,29,29,30,29,28,25,22,19,17,16,18,19,21,24,27,29,31,32,36,35,32,30,27,26,25,24,24,24,25,23,20,19,20,21,22,24,27,30,32,33,33,33,30,29,26,25,26,28,31,33,37,38,40,41,39,37,33,31,29,28,27,26,28,32,36,39,45,47,49,50,49,46,43,40,40,40,40,40,40,40,39,39,42,40,37,34,34,40,48,55,69,75,81,81,74,66,62,61,66,75,83,86,86,85,79,71,64,59,56,55,51,46,48,54,61,69,77,79,74,66,61,60,61,64,69,74,76,72,65,60,54,54,55,54,52,51,50,50,57,65,77,86,89,86,79,73,61,50,41,39,38,34,33,34,32,26,24,27,29,28,29,32,33,32,31,30,32,39,48,54,64,66,68,66,63,63,67,71,77,78,75,67,56,48,45,46,50,54,57,57,53,47,43,40,44,50,57,62,63,63,62,61,55,55,55,54,52,47,43,41,37,37,37,39,40,39,37,34,26,22,21,27,35,45,57,68,78,80,80,82,88,95,94,89,82,72,60,50,40,33,34,39,43,43,42,39,36,33,33,34,45,51,60,68,72,71,67,64,52,46,38,34,35,40,45,48,46,44,40,36,35,39,46,51,54,53,48,41,34,30,29,30,35,38,41,41,39,36,35,35,33,33,33,35,39,43,48,50,56,56,54,51,46,41,36,33,30,32,37,42,48,57,67,74,78,76,71,63,54,47,43,42,42,43,42,36,29,27,30,34,44,56,74,89,96,94,87,82,62,55,45,39,37,36,34,31,30,29,28,29,29,28,25,23,25,26,28,30,32,33,34,35,30,27,24,23,24,23,19,16,18,17,16,15,14,15,17,18,22,24,27,29,30,32,35,38,41,42,44,45,44,41,36,34,27,24,20,17,16,17,20,21,20,21,22,22,21,19,18,16,18,18,18,18,18,18,17,17,19,18,17,17,17,18,19,20,21,21,22,22,21,19,17,16,13,13,12,11,10,8,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,6,6,6,5,5,4,4,4,5,5,5,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,5,5,6,6,6,6,5,5,6,6,8,9,10,12,12,13,13,15,17,19,20,20,19,18,17,15,14,13,13,15,14,13,12,12,12,13,13,16,17,19,22,24,27,29,30,32,32,31,29,26,22,18,16,18,18,19,21,24,27,30,31,36,35,33,30,28,27,26,26,25,26,26,24,20,18,18,19,20,22,25,28,30,32,32,32,30,28,25,23,24,27,31,34,38,39,41,41,39,36,32,30,26,25,23,23,26,31,36,40,47,48,49,49,47,43,39,36,36,37,39,40,41,40,39,38,44,42,38,35,35,40,49,55,70,77,84,84,79,71,67,65,65,72,79,82,85,87,83,77,68,61,57,56,50,44,46,52,57,64,71,71,65,58,54,54,54,56,60,64,66,64,59,54,54,54,54,52,49,47,47,47,62,71,85,97,102,98,91,85,67,53,41,38,36,32,32,36,36,31,28,31,32,31,31,33,34,34,33,33,36,42,51,58,65,67,69,68,66,68,74,79,86,86,82,71,58,48,45,46,53,57,62,62,57,49,42,38,35,41,49,55,57,58,57,58,62,63,65,65,62,57,52,49,37,36,35,36,37,37,35,33,25,20,19,25,35,46,61,73,80,81,80,81,86,92,92,86,85,76,65,55,44,35,34,37,42,43,43,41,37,35,35,35,46,52,60,66,69,68,64,61,48,42,34,29,31,38,44,49,47,45,40,35,33,35,40,44,48,46,42,37,31,28,28,29,36,38,41,41,39,37,35,35,35,34,33,34,37,42,46,49,57,56,54,50,45,40,35,33,30,33,38,43,49,57,65,71,74,73,68,61,53,46,43,43,41,41,39,33,27,26,32,38,49,61,77,88,89,82,71,64,53,47,40,36,37,38,37,35,30,29,28,28,28,27,23,20,23,24,27,29,32,34,35,35,30,28,25,25,25,24,20,16,19,17,16,15,15,17,19,20,24,26,28,29,30,32,35,38,42,44,46,47,46,42,37,34,26,23,19,16,16,17,20,22,20,21,22,22,21,19,18,16,17,17,18,18,17,16,15,15,18,17,16,16,17,18,20,21,22,22,23,22,21,19,17,15,13,13,12,11,9,8,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,6,6,6,5,5,4,4,4,5,5,5,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,5,5,6,7,7,8,9,9,11,11,12,14,15,16,17,18,20,19,19,18,18,19,19,20,19,17,15,13,12,11,12,12,15,16,17,19,23,27,31,33,32,32,31,29,27,24,22,20,17,17,17,17,19,22,25,26,30,29,27,25,25,25,26,26,26,26,25,25,23,22,20,19,17,18,20,23,26,28,30,31,32,30,28,26,27,29,32,34,36,38,41,44,43,41,37,34,32,28,23,22,25,31,37,41,47,50,53,51,46,38,31,28,33,35,38,40,42,43,43,42,41,40,39,38,39,43,50,55,69,75,81,84,80,73,67,63,66,69,74,79,83,86,87,87,77,71,61,51,45,44,46,48,54,58,63,63,59,54,52,51,54,54,54,53,53,53,53,53,54,50,49,49,47,46,49,56,66,78,93,104,110,109,98,87,71,58,44,38,36,35,37,40,38,38,38,35,33,31,32,33,37,37,37,39,43,49,55,58,66,64,65,68,70,72,80,89,96,95,88,75,58,46,42,42,52,59,67,69,62,50,39,33,33,35,39,44,49,53,56,58,63,66,70,73,72,69,65,62,46,40,35,36,42,45,41,37,29,22,19,23,31,43,58,71,80,81,79,76,73,73,76,79,78,77,71,61,48,39,36,36,39,41,42,41,39,39,41,45,44,48,53,57,58,55,51,48,34,31,27,27,30,38,46,52,51,48,43,37,34,33,33,34,36,36,34,31,27,26,27,28,30,33,37,40,39,38,38,39,37,37,36,35,35,37,42,46,50,50,49,48,45,41,37,35,39,40,41,42,44,50,58,63,67,65,61,56,51,46,42,40,39,38,35,30,27,30,36,42,56,69,80,80,74,69,59,50,36,38,38,38,42,48,46,41,39,37,34,31,29,26,21,18,17,19,23,27,29,30,29,28,30,29,29,27,26,25,24,23,18,16,13,14,17,20,22,22,25,25,24,25,27,30,34,36,43,45,48,49,48,44,40,37,25,22,18,15,14,16,19,21,26,26,26,25,23,20,17,15,17,16,15,15,14,14,15,15,18,18,19,20,21,21,21,20,21,21,21,21,19,16,14,12,10,10,10,9,9,9,8,8,8,8,8,7,7,6,6,6,6,6,6,6,6,6,6,6,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,5,5,6,7,7,8,9,9,10,10,11,12,14,15,16,16,19,18,18,18,18,19,20,21,20,19,16,14,13,12,12,12,14,14,15,17,21,24,28,30,31,31,30,29,28,25,24,22,18,17,17,17,18,20,22,23,27,26,24,23,22,22,23,23,23,23,24,24,23,22,20,19,17,18,19,21,23,26,29,30,30,29,28,27,27,29,31,32,34,36,38,40,40,40,38,37,35,30,25,22,24,29,35,39,48,51,54,52,46,38,31,27,31,33,35,38,40,41,41,41,40,40,39,39,40,44,51,56,67,72,79,81,78,72,66,63,65,68,73,78,81,83,83,83,74,68,58,49,44,43,45,48,53,56,60,60,56,52,51,50,48,48,48,49,50,51,52,52,51,47,45,46,46,47,54,63,82,94,108,118,122,118,104,91,70,57,43,38,37,38,41,46,44,44,44,41,37,35,36,37,40,40,41,44,48,54,59,62,69,66,66,69,71,74,83,93,102,101,94,79,61,47,41,40,49,57,67,70,64,53,41,34,29,31,34,38,43,46,49,50,58,63,70,76,77,74,68,64,51,45,39,41,47,51,49,45,35,27,22,24,30,41,56,69,77,77,74,69,64,62,65,68,72,72,70,62,52,44,40,40,39,41,42,42,40,40,43,45,49,51,53,54,52,48,43,40,32,30,28,28,32,39,48,53,55,51,46,40,35,32,31,30,30,29,28,26,23,22,24,27,31,35,38,40,40,40,41,42,39,39,37,35,34,36,39,43,48,47,46,45,42,40,38,37,40,41,42,42,43,47,53,57,59,58,56,53,49,46,43,42,40,39,36,32,30,33,40,45,55,65,72,69,62,56,49,41,37,41,45,48,54,59,58,52,46,42,37,33,30,26,22,18,18,20,22,24,26,27,28,28,29,30,30,30,29,27,25,24,20,17,15,16,19,22,23,24,25,24,23,23,25,29,33,36,45,46,48,48,45,41,36,33,25,23,19,16,16,17,20,22,26,26,25,24,22,19,16,14,15,15,14,13,13,14,14,15,17,18,20,21,22,22,21,21,21,21,21,20,18,16,13,12,10,9,9,9,8,8,8,8,8,8,8,7,7,6,6,6,6,6,6,6,6,6,6,6,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,5,5,6,7,7,8,9,9,8,9,10,11,12,13,14,14,17,17,17,17,19,20,22,23,22,20,18,16,15,13,13,13,13,13,14,15,17,21,24,26,29,29,30,29,29,28,26,26,20,19,18,17,16,17,18,19,23,22,20,19,18,18,18,19,19,20,22,24,24,22,20,19,18,17,17,18,20,23,27,29,28,28,28,28,29,29,30,30,31,32,33,34,36,38,40,41,38,34,28,23,23,27,32,37,51,53,56,53,47,38,31,27,27,29,32,35,37,38,38,38,39,39,39,38,40,45,51,56,63,68,73,75,72,67,63,60,60,63,68,73,77,78,78,77,69,63,54,45,41,41,44,47,49,52,54,54,52,50,49,50,46,46,45,45,45,46,47,47,47,42,40,42,45,51,63,74,100,112,124,131,131,122,105,90,68,54,41,36,38,41,48,55,55,55,53,49,45,42,41,42,44,44,47,50,55,60,65,68,73,70,68,69,70,74,86,98,107,106,99,83,63,45,36,34,44,54,65,71,68,57,44,36,26,28,30,33,36,39,41,42,50,57,67,76,79,76,70,65,56,52,48,51,57,62,62,60,46,36,27,25,28,37,52,65,72,71,67,59,52,49,51,55,64,67,70,67,59,50,45,44,39,40,42,42,42,42,44,46,50,50,49,47,44,40,37,34,31,30,30,32,37,44,51,56,59,55,49,42,35,30,27,25,24,24,23,22,20,21,24,27,33,36,39,41,41,41,43,44,42,41,39,36,33,33,35,38,44,43,42,40,39,39,39,39,41,43,44,43,43,44,47,49,50,50,50,50,48,47,45,45,41,40,37,34,34,38,44,50,56,61,63,56,48,43,40,36,39,47,56,62,70,74,71,65,56,51,43,36,31,27,23,20,20,20,21,22,23,25,26,27,29,30,32,34,33,30,27,25,22,20,18,19,22,25,26,26,25,23,21,20,22,27,32,36,46,47,47,46,42,37,32,29,25,23,20,18,18,20,22,24,26,26,24,23,20,17,14,13,13,13,12,12,12,13,14,14,17,19,21,22,23,23,23,22,20,20,19,18,17,15,13,12,9,9,9,8,8,7,7,7,8,8,8,7,7,6,6,6,6,6,6,6,6,6,6,6,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,6,6,6,7,7,8,8,8,7,7,8,9,10,11,11,12,14,15,15,16,18,20,22,23,22,21,20,18,17,15,14,14,13,12,12,13,15,17,20,21,27,27,28,29,29,29,28,28,24,22,20,18,17,17,17,18,19,19,18,17,16,15,15,15,15,17,20,23,23,22,21,19,18,17,16,15,17,21,25,28,27,28,30,31,31,31,30,29,28,28,27,28,31,36,41,44,43,39,32,25,22,24,30,34,51,53,55,53,46,38,30,26,24,26,28,31,33,34,35,34,35,35,36,36,38,42,49,53,57,61,64,65,62,58,55,54,52,55,60,65,69,70,70,70,63,57,49,42,39,40,43,45,44,45,47,48,48,49,50,51,51,49,47,45,43,42,42,43,43,38,36,40,47,58,74,88,113,123,133,136,132,119,99,82,63,50,37,34,39,46,56,65,69,68,65,59,53,48,46,46,45,46,49,54,60,66,71,73,76,73,69,68,66,71,84,98,107,107,101,85,63,43,31,26,40,49,62,70,69,60,47,38,28,28,29,31,32,35,36,37,41,47,57,66,71,70,67,64,60,59,60,66,74,78,77,75,59,47,33,26,26,32,45,58,65,65,61,52,44,40,44,48,60,66,72,73,66,56,49,46,40,41,42,44,44,45,46,46,46,45,43,41,39,37,35,35,34,35,37,40,45,51,57,60,62,58,51,43,35,28,24,21,23,24,23,21,21,23,27,30,35,37,40,41,41,42,44,46,44,43,41,37,32,31,31,33,39,38,37,36,36,37,39,40,41,43,44,45,44,43,44,45,46,47,48,49,49,49,48,47,44,42,38,36,37,41,48,52,58,59,56,49,41,38,39,41,46,57,69,77,83,86,81,74,66,59,49,40,34,29,25,23,22,21,20,20,21,23,25,27,29,31,35,37,37,34,29,26,24,22,21,22,25,27,28,28,25,22,19,17,20,25,31,35,45,46,46,44,41,36,32,29,26,24,22,20,20,21,24,25,26,25,23,21,18,15,13,11,12,11,11,11,12,13,14,15,18,20,22,24,25,24,23,22,19,18,18,17,15,14,13,12,9,9,8,8,7,7,7,7,8,8,8,7,7,6,6,6,6,6,6,6,6,6,6,6,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,6,6,7,7,7,7,8,8,6,7,7,8,9,9,10,10,12,12,13,15,16,19,21,22,21,21,20,20,18,17,16,15,14,13,12,12,13,15,16,18,23,24,25,27,28,28,28,28,26,25,22,20,19,18,19,19,18,18,18,17,16,15,14,14,14,16,19,21,22,22,21,21,19,18,16,16,17,20,24,27,28,29,31,32,33,32,31,30,27,25,24,24,27,34,40,45,46,43,37,29,24,24,28,32,47,50,53,51,45,37,30,26,23,25,27,30,31,32,32,31,30,31,32,32,34,37,43,47,51,54,56,55,52,49,48,47,47,49,52,56,59,60,61,61,55,51,46,41,38,39,41,43,40,40,40,43,47,52,56,58,58,56,52,49,46,45,44,44,42,37,37,43,53,67,86,101,123,131,137,136,129,114,93,76,58,45,34,34,42,52,65,75,83,81,76,68,59,52,48,47,43,45,48,54,61,68,75,79,80,75,70,65,61,63,77,92,103,105,101,87,65,44,30,25,36,44,56,66,67,60,48,40,29,29,29,29,30,32,33,34,35,39,46,52,57,60,61,60,62,65,72,82,90,94,91,88,73,58,41,30,25,28,38,49,59,61,58,51,42,39,43,49,60,69,78,80,73,61,51,46,42,42,43,45,47,47,46,45,45,43,41,38,36,36,36,36,40,43,46,51,56,60,63,64,63,58,51,43,35,29,25,23,27,26,24,22,21,23,27,31,36,38,41,42,42,42,43,44,44,43,41,37,32,29,29,30,35,34,34,34,35,37,39,40,38,41,44,44,44,43,44,45,45,47,49,51,52,52,51,50,46,43,38,36,38,42,47,51,55,53,48,43,38,37,43,50,59,70,83,89,92,92,85,77,69,62,51,42,35,31,27,25,23,22,20,20,21,23,26,29,30,33,37,40,39,35,30,27,24,23,23,24,27,29,29,28,24,21,18,17,19,24,30,34,42,42,42,42,40,36,33,31,26,25,23,22,21,22,24,25,24,23,21,18,16,13,12,11,11,11,11,12,13,14,16,17,20,22,24,26,27,25,23,22,18,17,16,15,13,13,12,12,9,9,9,8,8,7,7,7,8,8,8,7,7,6,6,6,6,6,6,6,6,6,6,6,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,7,7,7,7,7,7,7,7,6,7,7,7,8,8,9,9,10,11,11,12,14,16,18,20,19,19,20,20,19,18,17,17,16,15,14,13,13,14,15,16,20,21,22,24,25,26,26,26,26,24,22,21,20,20,21,21,20,20,20,20,19,18,16,16,16,17,18,20,21,22,23,23,21,20,19,18,19,22,24,26,27,29,30,31,32,31,30,30,27,25,23,22,25,32,39,44,47,46,42,35,27,24,27,30,41,44,48,48,43,36,30,27,24,26,28,29,30,30,29,29,27,28,28,29,30,33,37,41,46,48,49,49,47,46,47,48,48,48,48,49,49,50,51,51,48,46,43,41,40,40,41,41,38,37,38,42,51,60,66,69,68,65,60,55,51,49,48,48,42,39,41,50,62,77,96,112,130,134,136,131,122,108,89,73,54,42,34,37,48,61,75,86,95,92,85,74,62,53,47,45,40,42,45,51,60,70,79,84,84,80,73,64,56,55,67,81,97,100,100,90,70,50,36,30,35,40,50,58,62,57,49,41,31,30,29,29,29,31,33,34,35,37,39,43,48,52,55,57,63,68,78,90,99,103,102,100,86,70,51,36,27,26,33,43,54,57,58,52,43,40,44,50,63,72,83,86,79,66,54,48,44,44,45,47,48,48,46,44,46,45,42,40,38,37,37,38,48,51,56,61,65,66,67,66,63,58,51,43,37,34,32,32,33,31,28,24,21,22,26,29,38,42,45,46,45,44,43,43,42,42,40,36,32,29,28,29,31,32,32,33,35,37,38,39,37,39,41,42,41,41,42,43,45,47,51,54,55,55,54,54,48,43,37,35,36,40,43,45,47,43,40,37,35,36,45,56,69,80,91,94,93,90,82,75,64,58,48,40,34,30,27,25,24,23,22,22,24,26,29,31,33,36,39,40,39,35,30,27,24,23,23,24,27,29,29,28,23,21,18,18,20,24,30,33,37,38,38,38,37,35,33,32,27,26,24,23,22,22,22,23,22,20,18,16,14,12,12,12,12,12,13,14,15,17,19,20,22,24,27,28,28,26,23,20,16,16,14,13,12,12,12,12,10,10,10,9,9,9,8,8,8,8,8,7,7,6,6,6,6,6,6,6,6,6,6,6,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,7,7,7,7,7,7,7,7,7,7,7,8,8,8,9,9,9,9,10,10,12,14,15,17,16,17,18,19,20,19,19,18,19,17,16,14,13,14,14,15,17,18,19,21,22,23,23,23,23,22,20,19,20,20,22,23,23,23,24,24,23,21,20,19,19,19,18,19,20,22,23,25,22,22,22,22,22,24,25,26,26,27,28,28,29,29,28,28,28,26,23,22,25,30,37,41,47,48,47,40,31,26,27,30,34,38,43,44,41,35,30,28,27,28,29,30,30,29,28,27,26,27,27,27,27,30,33,37,42,44,46,47,48,50,53,56,56,53,49,45,42,41,41,42,42,42,42,42,42,41,40,39,38,37,38,45,57,70,79,83,83,78,70,62,54,49,46,45,43,42,47,58,71,85,103,118,126,128,126,118,108,97,80,67,52,42,36,42,55,70,85,96,103,99,91,78,64,52,45,42,38,39,42,48,58,71,83,90,90,84,76,65,52,48,58,72,86,92,96,89,73,54,40,34,34,37,43,51,55,54,48,42,36,35,33,32,33,34,36,38,40,40,41,43,47,50,53,55,63,69,78,89,100,106,109,109,98,82,61,44,32,27,32,39,50,55,58,53,44,40,44,49,65,75,86,90,83,70,58,51,47,46,46,48,50,49,45,42,44,43,43,42,42,43,44,45,55,58,64,68,70,70,68,66,63,59,51,45,41,40,42,44,42,40,35,29,25,24,27,30,42,46,50,52,50,47,44,42,40,40,39,36,32,29,29,29,29,30,32,34,36,37,37,38,36,37,38,38,36,36,38,39,43,46,50,55,58,59,58,58,50,44,36,32,33,36,38,39,40,36,34,35,34,36,46,58,71,80,88,88,84,79,73,66,55,49,41,35,30,27,25,23,24,24,24,25,27,30,32,34,36,38,40,40,38,34,29,26,22,22,22,24,27,28,27,26,22,21,19,19,21,25,30,32,34,34,35,34,33,31,30,28,28,27,25,23,21,21,20,20,19,18,16,14,12,12,12,12,14,14,15,16,18,20,22,23,25,27,29,30,29,25,21,19,16,15,13,11,11,11,11,12,11,11,11,11,10,10,9,9,8,8,8,7,7,6,6,6,6,6,6,6,6,6,6,6,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,7,7,7,7,7,7,7,7,7,7,8,8,8,8,9,9,9,8,9,9,10,12,14,14,14,15,17,19,20,20,19,19,20,19,17,15,14,14,15,15,15,16,17,19,20,20,21,20,20,19,18,18,19,20,22,23,25,26,26,27,26,24,22,21,21,20,19,18,19,21,24,26,23,23,24,24,25,25,25,25,25,25,25,25,26,26,27,27,30,27,24,22,24,29,35,39,47,49,49,43,34,28,27,29,30,34,39,41,39,34,30,28,29,30,31,31,30,29,27,26,26,27,27,27,27,28,32,35,41,43,46,48,51,55,60,64,63,59,52,44,39,36,36,36,39,40,42,43,43,42,40,38,40,39,40,48,62,77,88,93,97,91,79,67,55,46,40,37,44,45,51,63,77,91,108,121,118,119,114,105,95,84,70,58,52,43,39,46,60,75,91,102,107,103,93,79,64,51,43,39,38,38,40,47,58,72,85,93,93,88,79,66,51,44,53,66,78,85,90,86,72,54,41,35,35,36,40,46,51,51,47,43,41,40,38,37,38,39,42,43,44,44,46,47,50,52,53,54,64,68,76,86,97,106,112,115,105,89,67,49,36,29,32,38,48,54,58,54,44,39,41,47,66,76,88,92,86,73,61,54,49,47,47,49,50,49,45,41,39,39,41,43,46,49,52,54,58,62,67,72,73,71,67,65,64,59,52,46,44,46,49,52,51,48,42,35,29,27,29,32,45,49,54,56,54,49,45,42,38,39,38,36,32,29,29,30,28,30,32,35,36,37,37,36,36,37,36,35,33,32,33,35,40,43,49,54,59,61,61,60,50,44,35,31,31,33,34,34,38,34,33,35,36,37,47,60,66,75,81,78,73,69,63,57,47,42,36,31,27,25,22,20,24,25,26,28,30,32,35,36,38,39,40,39,37,33,29,26,21,21,21,23,26,27,26,25,21,21,20,21,23,26,29,32,33,33,32,31,30,28,26,25,29,28,25,23,21,20,19,19,18,16,14,13,12,12,13,13,15,15,16,18,20,22,24,25,27,28,30,31,29,25,21,18,15,14,12,11,10,10,11,12,12,12,12,11,11,11,10,10,8,8,8,7,7,6,6,6,6,6,6,6,6,6,6,6,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,6,6,6,7,7,8,8,8,8,8,8,9,9,10,10,10,10,10,10,9,9,8,8,7,10,10,9,9,9,9,8,8,13,14,16,18,20,20,19,19,19,19,19,18,17,15,14,13,14,14,14,14,14,15,17,17,17,17,17,18,19,20,22,23,26,28,31,34,34,33,30,29,27,25,23,22,22,23,25,27,23,24,25,26,28,29,31,31,31,28,25,22,21,22,25,27,27,29,31,30,30,33,39,44,50,50,48,45,39,33,27,24,29,30,32,32,32,32,30,29,29,30,32,33,33,30,27,25,25,25,25,26,28,32,34,36,41,43,47,51,58,66,75,82,79,71,61,50,42,38,35,33,39,43,46,47,45,42,41,40,33,34,40,52,68,84,94,99,103,95,82,65,50,40,37,37,45,50,60,72,85,96,105,109,104,100,95,88,80,70,59,52,47,44,42,48,61,78,94,103,106,100,88,74,60,48,39,34,32,36,41,48,59,72,85,94,99,95,86,70,55,49,54,61,72,77,83,82,72,57,43,34,30,33,37,42,45,47,47,47,42,38,37,39,39,41,47,56,58,64,67,65,65,68,69,67,67,67,72,81,87,92,101,110,104,97,82,63,45,35,34,36,45,50,54,51,43,39,41,45,63,74,87,94,89,75,60,50,46,47,50,53,55,53,49,45,44,40,40,46,51,52,55,59,64,67,70,70,68,64,61,61,57,56,54,53,54,57,61,63,67,61,52,41,32,30,32,35,46,54,61,61,58,54,47,41,34,34,34,33,32,31,30,29,28,30,32,34,35,35,35,34,34,32,29,26,26,27,29,31,34,40,50,59,64,64,60,57,52,44,34,31,33,37,38,37,35,35,34,35,37,43,51,56,61,60,58,58,56,53,47,43,38,35,31,27,23,22,22,22,23,24,25,28,31,35,38,40,40,39,37,35,32,28,25,24,20,21,22,23,23,23,23,23,22,22,22,23,25,27,29,30,30,29,27,25,24,23,23,23,25,24,24,23,22,21,20,19,20,18,16,14,13,14,15,17,18,20,23,25,27,27,26,25,28,28,28,28,26,23,21,19,15,15,15,15,15,15,15,15,13,13,13,12,11,11,10,10,9,8,8,7,7,8,8,9,5,6,6,6,6,6,6,6,6,6,6,5,5,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,6,6,7,7,7,8,8,8,8,8,9,9,9,10,10,10,11,10,10,10,9,9,8,8,10,10,9,9,9,8,8,8,11,12,14,16,18,18,18,18,19,19,19,19,18,16,15,14,15,14,14,14,14,15,16,17,16,16,17,17,19,20,22,23,27,29,32,35,37,36,35,34,31,30,28,26,25,26,27,28,23,23,24,25,26,28,30,31,29,27,24,21,21,22,23,25,27,30,32,33,34,37,42,46,50,50,50,47,42,36,30,27,27,28,30,31,32,32,31,31,31,33,34,35,34,31,28,26,25,25,26,27,30,33,36,38,41,44,49,55,62,71,81,88,85,77,64,52,42,37,34,33,41,44,48,49,47,44,41,40,34,35,39,50,66,81,93,98,100,93,80,64,49,40,36,36,43,51,63,76,86,92,95,96,91,86,80,73,66,59,52,47,43,41,41,47,60,77,92,100,101,94,82,68,55,44,38,34,36,39,45,52,62,74,88,97,102,100,90,75,58,50,52,57,67,71,75,74,64,51,38,30,29,31,36,40,44,47,49,50,47,43,41,41,42,44,52,61,72,81,88,89,89,90,87,82,74,71,70,74,78,83,93,103,104,99,87,71,54,43,40,40,46,51,53,49,41,36,37,41,61,71,84,91,86,72,57,47,43,46,50,55,58,56,51,47,43,39,38,43,48,51,54,58,63,65,67,67,64,61,59,58,53,54,55,58,63,70,76,79,78,71,58,44,33,28,29,31,45,55,63,64,61,56,49,41,33,33,33,32,31,30,29,29,28,30,32,35,36,37,36,36,33,31,28,26,25,26,28,29,34,39,48,56,61,61,59,57,50,44,37,35,37,40,40,38,37,36,36,36,38,42,47,51,51,49,47,45,43,40,36,32,32,30,26,23,21,20,21,21,21,22,24,26,29,33,35,37,37,36,35,33,30,26,24,22,19,20,21,22,22,22,22,22,22,22,23,25,26,27,28,29,28,27,26,24,23,22,22,22,23,23,22,22,21,20,20,20,20,19,17,16,15,16,18,19,20,22,24,27,28,28,27,26,27,27,27,26,25,23,21,19,15,15,15,16,16,16,16,16,15,15,14,13,12,11,11,10,9,8,7,7,7,7,8,9,6,6,6,6,6,6,6,7,6,6,6,5,5,5,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,6,7,7,7,8,8,8,8,8,9,9,9,10,10,10,10,11,11,11,11,10,10,10,10,10,10,10,9,9,8,8,8,8,9,11,13,15,16,17,17,19,19,19,19,19,18,17,16,15,15,14,14,15,15,16,17,16,16,16,17,18,20,21,22,27,29,33,37,39,41,41,41,39,37,35,33,31,30,30,30,24,23,22,23,24,27,30,32,32,30,28,26,24,24,24,24,27,30,33,36,38,41,44,47,49,50,51,50,47,41,35,31,27,28,29,31,32,33,33,33,34,35,36,37,35,32,29,27,25,25,26,28,31,35,38,41,42,46,51,57,65,75,85,92,89,81,67,52,41,35,33,33,43,47,51,52,50,45,41,40,37,36,39,47,60,74,86,92,92,86,74,60,47,38,35,35,45,54,67,80,86,87,83,79,74,69,62,55,51,48,45,42,39,38,41,49,62,78,90,97,94,86,73,60,48,41,37,36,40,43,47,54,63,75,88,96,103,101,95,82,67,57,55,57,63,66,68,64,56,44,35,29,28,30,34,39,44,48,52,53,55,49,45,44,45,48,57,66,85,98,111,117,118,115,108,100,86,78,69,65,64,69,81,93,100,98,92,80,65,53,47,45,49,52,53,48,39,33,33,35,56,66,78,83,79,66,51,42,39,43,51,59,64,62,57,52,44,38,36,40,45,47,51,56,61,63,63,61,58,55,54,54,50,52,57,63,71,80,87,91,86,78,64,47,34,28,28,30,44,55,66,68,65,60,50,41,33,32,31,30,29,29,29,29,29,31,34,37,39,39,38,37,32,30,27,25,24,25,26,27,33,37,43,49,54,55,56,55,48,45,42,43,45,47,45,42,41,40,39,38,39,40,42,44,40,37,34,31,30,29,26,24,25,23,21,18,17,18,19,20,20,20,21,23,26,29,32,33,33,33,31,29,27,24,21,19,18,19,20,21,21,21,20,20,22,23,25,27,28,28,28,27,26,25,24,22,21,20,20,20,21,21,21,21,21,21,21,21,21,20,19,18,19,20,21,23,24,26,27,29,29,29,28,27,25,25,25,25,24,22,21,20,16,16,17,17,18,18,19,19,18,18,17,15,14,13,12,11,9,8,7,7,7,7,8,9,7,7,7,7,7,7,7,7,6,6,6,6,5,5,5,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 5,5,5,5,5,5,5,5,6,6,6,6,6,6,6,6,7,7,7,8,8,8,9,9,9,9,9,10,10,10,11,11,12,12,12,12,12,12,12,12,12,12,11,10,10,9,9,8,6,7,8,10,12,14,15,16,18,19,20,20,20,20,19,19,17,16,16,15,15,16,17,17,16,16,16,17,18,20,21,22,26,28,32,36,40,43,45,46,46,45,43,41,39,36,34,33,26,24,22,21,23,27,31,34,40,40,39,37,34,30,27,24,26,28,32,36,39,42,44,45,46,48,50,51,49,44,39,36,31,31,32,32,33,33,33,33,35,36,36,36,34,32,29,27,24,24,25,28,31,35,39,41,43,45,50,54,61,70,79,86,83,76,63,48,38,33,34,36,47,50,54,55,51,45,40,37,37,36,37,41,50,61,72,78,77,73,65,54,43,37,35,35,47,55,67,78,81,78,71,66,59,55,50,46,44,42,40,39,36,38,43,53,66,80,89,94,87,79,66,53,44,39,39,40,43,45,49,54,62,73,84,92,99,100,97,88,76,67,64,64,63,64,64,59,51,42,36,32,30,32,35,40,45,51,55,58,60,53,47,45,45,48,58,69,88,104,123,134,137,134,124,114,99,86,70,59,53,56,69,81,91,94,94,87,75,62,53,50,52,54,54,48,39,33,31,32,49,57,67,72,67,56,44,36,36,42,53,64,71,70,64,59,46,39,35,37,41,43,48,54,59,59,58,55,51,48,48,48,50,53,58,65,73,81,87,90,85,77,63,47,34,29,30,33,44,56,67,70,68,61,50,40,32,30,29,27,27,28,29,30,31,34,37,40,41,41,40,38,30,29,27,25,24,24,25,26,32,33,37,41,44,47,49,50,48,48,50,53,56,55,52,48,46,44,42,41,41,40,39,37,34,30,27,25,25,26,26,25,23,21,19,17,16,17,18,20,19,20,20,22,24,26,28,29,30,29,28,27,24,22,20,18,18,19,19,20,20,20,19,19,22,24,26,29,29,28,27,25,24,23,21,20,19,19,19,19,19,19,20,20,21,22,23,23,22,22,22,21,22,23,25,26,29,29,30,30,30,29,28,27,23,23,23,23,22,22,21,21,18,18,19,19,20,21,21,22,21,21,19,17,16,14,13,12,9,9,8,7,7,8,9,9,9,9,9,9,8,8,8,8,7,7,6,6,6,5,5,5,5,5,5,5,5,5,5,5,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 5,5,5,5,5,5,5,5,6,6,6,6,6,6,6,6,7,7,8,8,8,9,9,9,9,9,10,10,10,11,11,11,14,14,14,14,14,14,14,14,14,14,13,12,11,10,10,9,6,7,8,9,11,13,14,15,18,19,20,21,22,22,22,22,19,18,18,17,17,17,18,18,17,17,17,18,19,21,22,23,25,27,29,33,37,42,45,47,50,50,49,48,45,42,39,37,29,26,23,21,23,27,33,38,48,50,52,51,47,39,31,25,26,27,30,33,37,39,40,40,41,43,46,48,47,45,41,39,37,37,36,34,33,32,32,31,33,34,34,33,32,30,28,27,24,24,25,27,31,35,39,41,42,44,46,48,51,57,64,69,68,63,53,42,35,34,38,43,52,55,57,56,50,43,38,35,33,33,33,35,39,46,52,57,61,59,54,46,39,35,34,35,45,51,60,67,70,67,61,57,50,48,45,43,42,41,37,35,33,37,45,57,70,81,87,89,83,75,62,50,43,41,43,45,47,48,51,54,60,70,80,87,96,97,96,90,81,73,70,69,64,64,61,56,49,42,38,37,35,37,40,44,50,55,59,62,62,55,47,44,42,45,54,65,85,104,125,140,145,143,134,124,108,93,74,58,49,48,58,70,83,88,93,91,81,70,61,57,56,57,55,50,41,35,32,32,41,47,55,57,53,45,37,31,35,43,56,69,78,78,73,67,53,44,37,36,37,39,44,50,55,56,54,51,46,42,41,41,48,51,57,64,71,77,82,84,79,72,59,44,33,28,30,33,44,56,66,69,66,59,48,38,30,29,26,25,26,28,31,33,36,38,41,44,44,42,39,37,29,29,27,26,26,26,27,27,30,31,32,33,36,39,42,43,47,51,57,63,65,64,59,55,51,48,45,44,43,41,37,34,29,27,24,23,26,29,30,31,25,23,21,18,17,18,19,20,21,21,21,22,23,25,27,28,28,28,27,26,24,22,20,19,20,20,21,21,21,20,20,19,23,24,27,28,29,27,25,24,22,21,20,19,18,18,18,18,18,19,20,22,23,25,26,27,25,25,25,26,26,27,28,29,32,32,32,31,29,28,27,26,21,21,21,21,22,22,23,23,21,21,22,22,23,23,23,24,22,22,20,19,17,15,14,13,10,10,9,9,9,9,10,10,11,11,10,10,9,9,8,8,7,7,7,6,6,6,5,5,5,5,5,5,5,5,5,5,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 6,6,6,6,6,6,6,6,7,7,7,7,7,7,7,7,8,8,8,8,9,9,9,10,10,10,10,10,11,11,11,12,15,15,15,15,16,16,16,16,17,16,16,14,13,12,11,11,9,9,9,9,11,12,14,15,17,18,20,22,23,24,24,24,22,21,20,19,19,19,20,20,18,18,19,19,21,22,24,25,25,26,27,30,34,39,43,46,50,51,52,52,50,47,44,42,34,30,25,22,24,30,37,42,54,59,65,67,63,52,39,31,28,27,27,29,32,35,35,34,35,36,39,41,42,42,41,40,40,39,37,34,32,31,31,30,31,31,31,31,30,29,28,27,26,26,27,29,32,36,39,42,42,42,41,40,39,42,46,50,50,49,45,39,35,38,46,53,61,62,62,58,50,43,37,35,31,33,36,37,37,39,41,44,50,49,46,42,37,34,34,35,39,44,50,56,59,59,56,54,48,46,44,43,42,40,36,33,35,40,50,64,76,84,87,87,81,73,61,50,44,43,46,49,51,51,52,54,58,65,74,81,91,91,89,84,77,71,68,67,65,65,62,56,49,44,42,41,43,45,48,52,56,60,63,65,62,54,46,42,39,40,48,58,81,98,119,133,140,141,135,128,110,96,78,62,50,44,50,58,73,80,88,89,84,74,67,64,58,58,56,51,44,38,34,33,35,39,43,45,42,37,33,31,37,45,59,74,84,85,81,76,62,52,41,36,35,36,40,46,52,53,52,48,43,38,36,35,41,45,51,59,66,72,75,77,70,64,54,41,31,27,28,31,46,55,63,64,59,54,44,36,29,27,25,24,26,30,35,38,42,44,46,47,46,42,38,35,29,29,28,28,29,29,30,31,31,31,30,30,31,33,35,37,46,52,61,68,71,69,64,60,53,49,45,43,43,41,36,32,26,24,22,23,26,29,31,32,27,25,23,21,20,21,22,23,25,24,24,24,25,26,27,28,29,29,28,28,26,24,23,22,22,23,23,23,23,22,21,21,24,25,26,27,26,25,24,23,21,20,19,18,18,18,18,18,19,20,22,24,27,29,31,32,31,31,32,32,32,32,32,32,34,33,32,30,27,25,24,23,20,20,20,21,22,23,24,25,25,25,25,25,24,24,24,24,22,21,20,19,17,16,15,14,12,12,11,10,10,11,12,12,13,12,12,11,10,10,9,9,8,7,7,7,6,6,6,6,6,6,6,6,6,6,6,6,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 6,6,6,6,6,6,6,6,7,7,7,7,7,7,7,7,8,8,8,9,9,9,10,10,10,10,10,11,11,11,12,12,15,16,16,16,17,17,18,18,19,19,18,17,15,14,13,13,12,12,11,11,11,12,14,15,17,18,20,23,24,26,26,27,24,23,22,21,21,21,21,22,20,20,20,21,22,24,25,26,27,27,27,28,32,36,41,44,49,51,53,54,54,51,48,45,38,34,27,24,25,32,41,47,59,68,79,85,82,70,54,44,32,29,26,26,29,31,30,29,29,30,32,34,36,38,39,40,38,37,34,32,31,30,30,30,29,29,30,30,30,29,29,29,30,30,30,32,35,38,41,43,41,40,38,34,31,31,34,37,39,40,41,39,39,44,55,63,71,70,67,60,51,43,38,36,37,42,47,50,49,47,46,47,46,46,44,41,36,33,32,33,35,40,47,54,58,60,59,58,56,53,48,44,42,41,39,37,43,49,61,75,87,92,92,90,79,71,60,50,45,45,48,51,49,49,49,49,51,57,65,70,78,77,75,71,67,65,64,65,70,69,67,61,55,50,49,49,51,53,56,60,63,65,66,66,62,54,46,41,36,36,42,51,72,86,103,114,121,125,123,118,107,96,80,66,53,43,43,48,60,68,78,81,78,72,67,65,57,56,54,50,45,40,36,35,32,34,36,36,34,32,32,33,40,48,62,78,88,91,87,83,72,59,45,38,34,33,37,43,49,50,50,47,41,35,31,30,34,38,44,51,57,61,62,63,57,54,47,39,32,30,32,35,48,55,59,57,52,47,40,33,27,25,23,23,26,32,38,42,48,50,51,51,47,41,35,31,29,29,30,31,32,33,34,35,34,33,32,30,30,31,32,33,43,50,61,70,73,70,66,62,53,47,42,39,40,39,35,31,27,25,23,24,26,29,30,30,26,25,23,22,22,24,27,28,29,28,28,27,28,28,29,30,30,31,30,30,29,27,26,25,25,25,26,26,25,24,23,23,25,25,24,24,24,23,22,22,20,20,19,18,18,18,18,19,20,22,24,27,30,33,35,36,38,39,39,39,39,38,38,37,34,33,31,28,25,23,21,20,20,20,20,21,22,24,26,28,28,28,27,27,26,25,25,24,21,20,20,19,18,17,16,16,14,13,13,12,12,13,13,14,14,14,13,12,11,10,10,9,8,8,7,7,7,6,6,6,6,6,6,6,6,6,6,6,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 6,6,6,6,6,6,6,6,7,7,7,7,7,7,7,7,8,8,8,9,9,10,10,10,10,10,10,11,11,12,12,12,16,16,16,17,17,18,18,19,21,20,19,18,17,15,14,14,15,14,13,12,12,13,14,15,17,18,20,23,25,27,27,28,26,25,24,23,22,22,22,23,21,21,21,22,23,25,26,27,29,28,27,28,31,35,40,43,47,50,53,55,55,53,50,47,41,36,29,25,27,34,43,49,65,75,89,98,97,84,68,56,35,31,26,25,27,29,28,27,25,26,27,29,32,35,38,39,35,33,31,30,29,29,30,30,29,29,29,30,30,30,31,31,33,33,33,35,37,40,43,45,41,39,36,31,28,27,29,31,34,37,40,41,43,50,61,70,77,76,71,62,52,44,39,38,44,51,60,64,63,59,57,56,46,46,45,41,36,32,31,31,35,40,49,57,63,65,65,64,66,60,52,46,44,44,43,43,52,59,72,86,97,102,100,97,77,70,60,51,46,46,49,51,45,45,44,43,44,48,56,61,65,64,62,60,60,61,64,66,76,75,73,67,61,57,55,55,56,58,62,65,68,68,68,67,62,54,46,40,35,33,39,46,62,74,87,96,102,107,108,105,103,94,81,69,55,43,40,42,50,58,68,73,71,67,64,63,55,54,53,49,45,40,37,36,32,33,33,32,30,31,33,36,42,50,64,80,91,94,90,86,77,64,48,39,34,32,35,41,48,49,50,47,41,34,29,27,30,33,38,44,48,49,49,49,45,44,41,37,34,35,39,42,49,54,57,52,47,43,37,32,26,24,22,23,26,33,40,45,52,53,54,52,48,41,34,29,29,30,31,32,34,36,37,38,37,36,34,32,31,31,31,32,41,49,60,69,72,70,66,63,51,45,39,36,38,38,34,30,29,27,26,26,28,29,28,27,24,23,22,22,24,27,30,32,31,31,30,30,30,30,31,31,32,32,32,32,31,29,28,27,27,27,28,27,27,26,25,24,26,25,23,22,22,21,22,22,20,20,19,18,18,18,19,19,22,23,25,29,32,35,38,39,44,44,44,44,43,42,41,40,34,33,30,27,23,21,19,19,20,20,20,21,22,25,27,29,30,30,29,28,27,26,25,24,19,19,19,18,18,17,17,16,15,15,14,13,13,14,15,15,15,14,14,13,12,11,10,10,8,8,8,7,7,6,6,6,6,6,6,6,6,6,6,6,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 4,4,4,5,5,6,6,6,8,8,8,8,8,8,8,8,10,10,10,10,10,10,10,10,12,11,11,11,11,12,13,14,15,15,16,17,18,20,21,22,21,21,20,19,18,17,17,16,16,16,16,15,14,14,13,13,18,19,21,23,25,27,29,30,29,28,28,27,26,25,25,24,27,25,24,23,23,25,28,30,26,27,28,27,27,29,32,35,39,41,44,47,48,48,47,46,41,37,32,28,28,35,46,54,67,85,100,104,104,102,88,70,50,40,29,25,27,30,28,24,24,25,25,27,29,32,34,36,34,30,27,26,29,33,36,37,34,30,29,30,30,28,30,34,32,34,37,39,40,43,47,50,52,49,43,38,34,32,32,32,38,42,46,50,54,62,72,80,84,85,81,68,53,42,40,43,49,65,80,85,85,85,78,70,65,55,47,43,40,34,31,31,36,42,49,57,68,79,80,77,77,68,57,49,41,37,40,48,61,75,91,101,105,104,98,90,78,69,59,53,52,52,49,46,41,42,41,39,38,42,51,58,52,50,47,43,43,49,60,68,76,79,81,77,70,64,64,66,61,63,65,66,66,64,62,60,54,49,41,35,33,36,41,44,54,59,64,68,71,76,83,89,88,87,82,71,57,44,37,35,39,47,58,65,66,64,60,58,47,44,42,42,44,44,41,38,32,31,29,29,32,37,43,47,55,59,66,75,83,88,88,87,77,69,56,41,31,29,33,37,42,46,49,47,39,31,26,24,24,28,33,36,38,40,42,44,39,38,37,36,36,38,39,40,46,47,46,45,43,40,37,35,25,22,22,26,29,34,43,52,59,61,60,56,47,36,28,23,24,25,29,33,34,33,38,46,44,45,46,44,40,37,35,35,39,44,52,61,66,65,59,55,41,40,38,35,33,32,31,31,28,27,27,27,27,27,27,27,21,21,22,24,26,29,31,33,32,29,27,27,29,31,32,32,36,35,34,33,31,30,28,28,26,27,28,29,29,27,26,25,25,25,25,25,24,23,21,21,21,21,20,20,20,21,21,22,25,27,31,34,36,40,45,49,53,54,55,54,52,49,46,44,38,35,31,27,25,23,19,17,19,20,22,24,26,28,29,30,32,32,31,30,28,26,24,23,20,19,18,17,17,18,20,21,19,19,19,18,17,17,16,16,18,17,16,15,13,12,11,11,8,8,8,8,8,8,8,8,6,6,6,7,7,8,8,8,5,5,5,5,5,5,5,5,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 4,4,4,5,5,6,6,6,8,8,8,8,8,8,8,8,10,10,10,10,10,10,10,10,12,12,11,11,12,12,13,14,15,15,16,16,18,19,21,22,21,21,21,20,20,19,19,19,19,18,18,17,16,15,14,14,17,18,20,22,25,28,30,31,30,30,30,29,29,28,28,27,28,27,25,24,25,27,29,31,27,28,29,28,27,28,30,33,36,37,39,41,43,43,43,43,39,36,32,28,28,34,43,49,64,82,98,104,107,107,95,79,59,48,36,30,31,34,33,30,29,29,30,31,32,34,35,36,34,31,28,27,30,34,37,38,39,34,31,33,32,30,32,36,38,41,45,48,50,53,56,59,61,58,53,47,44,42,43,43,48,51,54,56,59,65,75,82,87,87,83,71,55,43,40,41,55,72,91,101,106,108,103,95,78,66,54,47,42,35,33,34,41,49,59,69,81,91,92,87,83,72,58,48,39,36,42,51,68,83,99,107,109,106,97,89,74,67,58,53,52,51,48,45,39,39,38,37,38,41,47,51,46,43,38,35,36,45,58,68,82,86,88,84,76,69,67,68,59,60,61,61,60,57,55,53,47,43,37,33,32,34,39,42,49,52,56,57,58,62,69,75,83,83,79,69,55,43,35,33,34,40,49,57,59,57,53,50,43,40,37,37,39,39,38,36,36,35,35,36,40,45,50,54,57,59,62,68,75,79,81,80,74,66,54,40,30,27,30,34,41,46,49,47,40,31,25,23,22,25,29,32,33,33,34,35,34,35,36,38,39,40,41,41,44,44,44,43,40,37,34,32,26,23,23,26,30,35,45,55,61,62,60,54,44,34,26,22,24,25,29,34,34,34,40,48,50,53,55,54,49,43,38,36,37,41,47,54,58,57,53,48,39,38,36,34,32,30,29,29,27,27,28,28,28,26,25,24,20,22,24,27,29,31,32,33,30,28,27,28,30,33,35,35,38,37,36,34,31,29,27,27,25,26,27,28,28,27,26,25,25,26,26,26,26,24,23,22,22,22,21,21,21,22,23,24,28,31,35,39,42,47,52,55,59,60,61,61,58,54,50,47,39,35,30,27,25,23,21,19,22,23,24,26,28,29,31,31,32,32,31,29,27,25,23,22,20,19,18,18,18,20,21,22,21,21,20,20,19,18,18,17,17,17,16,15,13,12,11,11,8,8,8,8,8,8,8,8,6,6,6,7,7,8,8,8,5,5,5,5,5,5,5,5,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 4,4,4,5,5,6,6,6,8,8,8,8,8,8,8,8,10,10,10,10,10,11,11,11,12,12,11,11,12,13,14,14,15,15,15,16,17,18,20,21,21,21,21,22,22,23,23,23,22,22,21,19,18,16,15,15,17,18,19,22,25,28,31,32,33,33,33,33,33,33,32,32,31,30,28,27,27,29,31,33,30,31,31,29,27,26,28,30,32,32,32,33,34,35,37,37,34,33,30,27,27,30,36,41,56,74,92,102,109,112,104,92,73,61,47,39,38,41,41,40,37,37,38,38,38,39,39,39,37,35,32,32,35,38,40,41,44,39,35,35,33,32,34,39,44,48,55,61,64,67,70,72,74,71,65,60,56,55,55,55,62,63,63,62,62,67,75,82,89,89,86,74,58,45,39,38,54,71,93,109,118,121,117,111,92,78,62,52,44,38,38,42,49,60,74,86,98,105,103,97,90,76,59,45,36,35,45,56,77,91,106,112,111,104,92,81,68,62,56,52,50,49,45,42,38,37,37,39,43,45,46,46,41,37,31,28,32,44,60,71,89,92,94,90,81,72,66,64,55,56,56,55,52,49,46,45,40,37,34,32,32,35,38,41,45,46,47,45,44,47,54,60,75,76,74,66,53,41,34,31,31,35,41,48,52,51,46,42,38,36,33,33,34,35,36,35,37,38,40,44,48,53,58,60,60,58,56,57,61,66,69,70,68,62,51,38,29,25,27,29,40,45,50,48,40,31,25,22,21,24,27,29,28,27,27,27,28,31,36,41,43,43,41,40,39,39,39,38,36,33,31,29,27,24,23,26,30,36,47,58,64,63,60,52,41,31,24,21,24,25,29,34,35,36,43,51,59,64,68,67,61,51,42,37,35,37,41,46,50,50,46,43,37,36,34,32,30,28,27,26,26,27,29,30,29,26,23,21,19,21,26,30,32,33,32,31,27,25,25,27,31,36,38,39,42,41,39,35,32,29,26,25,24,25,26,26,27,26,26,25,26,27,28,29,28,27,26,25,23,23,22,21,22,23,25,26,31,35,40,45,49,54,59,63,65,66,68,68,64,58,52,48,40,36,30,26,24,24,23,22,26,27,28,30,31,32,33,33,32,32,30,28,26,24,22,22,19,19,19,19,20,22,24,25,24,24,23,22,21,20,20,19,16,16,15,14,13,12,11,11,8,8,8,8,8,8,8,8,6,6,7,7,7,7,8,8,5,5,5,5,5,5,5,5,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 4,4,4,5,5,6,6,6,7,7,8,8,8,8,9,9,10,10,10,11,11,11,11,12,13,12,12,12,12,13,14,15,15,15,15,15,16,17,19,20,20,21,22,23,24,25,26,26,26,25,24,22,20,18,17,16,17,18,19,21,24,28,31,33,36,36,36,37,37,38,38,38,35,34,32,31,31,32,34,36,34,35,35,33,29,28,28,29,30,29,27,26,27,28,30,32,29,29,28,26,24,25,28,31,46,62,81,95,106,112,109,101,86,75,60,50,47,49,50,50,47,47,47,47,47,47,47,47,46,45,43,44,46,47,47,46,48,41,36,35,33,32,36,42,48,54,64,72,78,82,85,87,87,83,77,71,66,63,63,63,69,69,67,63,60,62,69,75,85,87,84,75,60,46,37,34,47,62,84,102,114,117,113,108,95,81,65,54,46,43,47,53,59,72,87,99,108,112,108,100,91,76,58,43,34,35,47,59,83,96,108,112,107,97,82,70,60,57,52,50,48,46,42,39,39,39,41,47,53,55,52,49,43,38,32,31,38,52,69,80,95,96,95,89,78,67,59,55,51,51,50,48,45,42,39,38,36,34,33,33,34,36,39,41,44,44,42,38,36,39,46,52,65,68,67,61,50,40,34,32,34,36,40,45,49,48,44,40,37,35,33,32,32,33,34,35,36,39,44,50,55,59,62,63,61,56,49,46,48,52,56,59,61,56,47,36,27,23,24,26,39,45,49,48,40,31,24,21,21,24,27,29,27,25,24,23,25,29,36,42,45,43,39,36,32,33,34,34,33,31,29,28,28,24,22,26,30,36,48,59,65,63,58,49,39,30,24,22,26,27,30,35,36,37,45,53,66,72,78,78,70,58,45,38,33,34,36,40,44,45,44,42,37,36,35,33,31,28,26,25,25,28,30,32,30,26,21,18,17,21,27,32,34,33,31,28,22,21,22,26,32,38,41,42,47,45,42,38,33,28,25,23,23,23,24,25,25,26,26,26,28,29,31,32,32,30,28,27,24,23,22,22,23,25,28,29,34,38,44,50,54,59,65,68,69,71,73,72,67,60,52,47,40,35,29,25,24,25,25,25,29,30,32,33,34,34,33,33,31,30,28,26,24,22,21,21,18,19,20,21,23,25,26,27,27,26,25,24,23,22,21,21,16,15,15,14,13,12,11,11,9,9,9,9,9,9,9,9,7,7,7,7,7,7,7,7,5,5,5,5,5,5,5,5,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 4,4,4,5,5,6,6,6,7,7,7,8,8,9,9,9,10,10,10,11,11,12,12,13,13,13,12,12,13,13,14,15,15,14,14,14,15,16,17,18,19,20,21,22,24,26,27,28,28,27,26,24,22,21,19,18,18,18,19,21,24,27,31,34,37,37,38,39,40,41,42,43,40,38,36,34,34,36,38,39,39,40,40,38,34,32,32,32,31,29,26,24,23,24,26,27,24,25,25,24,22,21,23,24,35,48,66,82,96,105,107,105,94,84,71,60,56,56,56,56,56,55,54,54,55,56,57,58,61,61,61,61,62,60,56,53,49,41,34,33,32,33,39,46,55,62,73,83,90,95,98,100,98,94,87,79,72,69,67,66,68,67,64,59,53,53,58,63,77,79,79,73,61,48,38,33,40,50,68,87,100,104,103,102,86,76,64,56,52,51,58,67,73,85,98,106,110,110,104,97,87,74,58,46,39,40,51,63,87,98,107,106,99,87,71,59,53,51,48,46,44,42,39,36,38,40,45,53,60,62,58,54,47,43,39,41,50,64,79,88,99,97,92,83,71,59,50,45,43,43,42,41,39,36,35,34,34,33,32,33,34,36,39,41,43,42,40,35,32,35,43,49,57,60,61,56,48,40,36,36,39,40,43,45,47,45,42,40,37,36,35,32,31,30,31,32,36,41,48,56,62,64,64,63,58,51,42,37,38,42,48,51,56,52,44,34,26,23,24,26,40,44,49,47,39,30,24,21,20,23,27,29,27,24,22,21,24,29,36,41,43,41,36,33,28,29,30,31,31,30,29,28,26,23,22,25,29,35,46,56,63,61,56,48,39,31,27,25,30,30,33,36,37,38,45,54,68,74,81,82,75,61,48,40,31,31,32,36,40,42,42,41,39,39,38,36,34,31,28,26,26,28,32,33,32,27,22,18,18,22,28,33,35,33,28,25,19,19,20,25,33,40,44,46,51,49,45,40,34,29,25,23,23,23,23,24,25,26,27,28,30,32,34,35,35,33,31,29,25,24,22,22,24,26,30,32,38,42,49,55,59,64,68,71,73,74,75,74,69,61,52,47,38,33,27,24,24,25,26,27,30,32,33,35,35,34,32,31,28,27,25,23,21,20,20,20,19,19,21,23,25,27,28,28,28,28,27,25,24,23,22,21,15,14,14,13,12,12,11,11,9,9,9,9,9,9,9,9,7,7,7,7,7,7,7,7,5,5,5,5,5,5,5,5,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 4,4,4,5,5,6,6,6,6,6,7,8,8,9,10,10,10,10,11,11,12,13,13,13,13,13,13,13,13,14,15,15,14,14,14,14,14,15,16,17,18,18,19,21,23,24,26,26,28,28,27,25,24,22,21,21,20,20,20,20,23,26,30,33,37,37,38,40,42,44,45,46,44,42,40,38,38,39,41,42,43,45,46,44,42,39,39,39,35,33,29,26,24,23,23,24,23,24,25,24,22,21,21,23,27,37,51,68,82,94,100,102,97,89,79,70,64,61,60,59,60,58,57,57,59,64,68,71,78,78,80,81,79,73,64,58,47,39,32,30,31,35,43,52,65,72,82,91,97,101,104,106,101,96,89,80,74,69,67,67,64,64,61,55,49,46,48,52,65,69,72,71,63,52,41,35,32,35,47,64,77,84,87,90,76,70,64,62,60,61,68,77,84,93,101,102,102,100,95,89,81,72,62,56,52,52,60,70,89,97,102,97,88,76,62,51,47,46,44,42,40,38,36,35,37,41,49,57,63,63,60,57,51,49,50,55,65,77,87,93,98,93,84,72,61,51,44,40,37,37,37,36,36,36,36,36,36,35,34,33,34,36,39,41,41,41,38,34,31,33,39,46,50,53,55,52,47,42,42,43,44,46,48,46,43,41,40,40,40,40,39,36,32,29,27,28,37,44,53,62,67,67,63,61,51,45,37,32,33,39,44,47,52,48,41,33,26,24,27,30,41,45,48,45,37,29,24,23,20,24,28,29,27,23,20,19,23,27,33,38,40,38,35,32,29,30,31,31,31,30,28,27,24,21,21,25,28,32,41,51,58,57,54,48,41,35,32,31,36,35,36,38,37,37,44,53,66,73,80,81,75,63,51,44,32,32,33,36,39,41,40,39,42,42,42,40,37,34,30,28,27,29,32,34,33,29,24,21,21,25,31,35,36,33,28,24,19,19,21,27,36,44,49,51,54,51,47,41,35,30,25,23,23,23,23,24,25,27,29,30,34,36,38,39,38,35,32,30,24,23,22,21,23,27,31,34,42,46,53,58,61,65,68,70,74,74,74,72,67,59,51,46,34,30,26,23,24,25,26,26,30,31,33,34,33,31,29,27,24,22,20,19,18,18,19,20,20,21,23,25,27,28,29,29,28,27,26,25,23,22,21,20,14,13,13,13,12,12,11,11,10,10,10,10,10,10,10,10,8,8,7,7,7,7,6,6,5,5,5,5,5,5,5,5,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 4,4,4,5,5,6,6,6,6,6,7,8,8,9,10,10,10,10,11,11,12,13,14,14,14,13,13,13,13,14,15,16,14,14,13,13,14,14,15,16,16,17,18,19,21,22,23,24,27,27,26,25,24,24,23,22,23,22,20,20,22,25,29,31,35,36,38,40,42,44,46,47,47,45,43,41,40,41,43,44,47,49,51,50,48,47,46,47,40,38,34,30,27,24,23,23,24,26,27,26,24,23,24,25,24,29,40,55,70,82,92,98,94,90,83,76,70,65,61,58,59,57,56,56,60,68,76,81,91,93,96,97,93,83,70,60,46,38,31,30,32,37,48,58,73,78,85,91,95,97,99,100,92,88,81,74,68,64,63,63,62,62,61,55,48,44,44,47,54,60,67,70,66,57,47,41,32,28,32,44,55,62,69,75,72,70,70,71,70,70,75,82,85,91,94,90,85,83,81,77,76,72,70,71,69,68,72,79,87,92,92,84,74,64,53,44,43,43,41,38,36,35,35,35,39,46,55,62,64,62,60,58,57,58,62,71,82,91,95,96,90,82,70,57,48,42,39,37,37,38,38,40,42,44,45,46,45,43,40,38,38,40,43,45,43,43,40,35,31,31,36,42,46,49,51,49,46,45,47,50,50,53,55,51,43,38,40,44,48,49,49,45,38,32,29,28,36,43,54,63,67,65,59,54,43,39,33,30,33,39,44,47,50,46,39,31,26,26,31,35,42,45,47,43,35,28,25,24,27,30,34,34,30,24,20,18,21,24,28,33,36,36,36,35,34,35,35,34,32,29,26,24,21,19,20,24,27,29,36,44,52,53,52,49,44,40,38,37,41,39,39,39,37,36,42,50,64,70,76,78,73,64,55,49,42,41,41,42,44,44,42,40,44,44,44,42,40,36,32,29,28,30,33,34,34,31,27,25,27,30,35,38,38,34,28,25,22,22,25,31,40,48,54,56,55,53,48,43,36,31,26,24,23,23,23,24,26,28,31,32,37,39,41,42,40,37,32,29,24,22,21,20,23,27,32,35,41,45,51,55,58,59,61,63,68,68,67,64,59,52,46,42,30,27,24,23,24,25,25,25,28,29,31,32,31,28,25,23,19,18,16,15,15,16,18,19,21,23,25,27,29,29,29,29,27,26,25,24,22,20,19,18,13,13,13,12,12,12,11,11,10,10,10,10,10,10,10,10,8,8,8,7,7,6,6,6,5,5,5,5,5,5,5,5,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 4,4,4,5,5,6,6,6,6,6,7,8,8,9,10,10,10,10,11,12,13,13,14,15,14,13,13,13,13,14,15,16,14,14,13,13,13,14,15,15,15,16,17,18,19,21,22,22,27,26,26,25,25,24,24,24,24,23,21,20,21,24,28,30,35,36,37,40,42,45,46,47,48,47,44,42,42,43,44,45,48,51,54,54,53,52,52,52,44,42,38,34,30,26,24,22,27,28,29,28,26,26,27,28,23,26,35,49,63,76,87,95,92,90,85,79,73,66,60,57,57,55,53,54,60,69,80,86,98,101,105,107,101,88,72,61,45,37,30,30,33,40,51,62,76,79,84,88,89,89,90,92,81,77,71,65,60,58,57,57,61,63,62,57,50,45,44,45,48,55,64,70,68,61,51,45,42,33,30,37,46,51,59,67,72,72,75,79,78,75,78,84,81,85,84,77,71,70,69,67,74,74,77,81,82,79,81,85,83,86,84,74,63,54,45,37,41,41,39,36,33,33,34,35,44,52,61,66,65,62,60,59,62,65,72,83,94,101,101,99,80,71,57,45,37,35,34,35,41,42,44,46,50,53,56,58,54,51,47,44,43,45,48,50,47,46,44,38,33,32,36,40,44,47,48,47,45,46,51,55,55,60,62,56,45,39,42,48,56,58,59,54,46,38,33,31,33,41,52,61,64,60,53,48,39,35,31,30,34,40,45,48,49,45,38,31,26,28,33,38,43,46,46,41,34,27,25,25,35,38,40,39,34,27,22,19,18,21,25,29,33,36,38,38,40,39,38,36,32,28,24,21,19,17,19,24,26,27,33,40,48,50,51,50,46,43,41,41,45,42,41,40,37,35,41,49,62,68,74,76,72,64,57,53,52,51,50,51,51,49,45,42,45,45,45,43,40,36,32,29,29,30,33,34,34,32,30,28,32,34,38,40,39,35,30,26,25,25,28,34,43,52,57,59,56,53,49,43,37,31,27,25,24,24,24,25,27,29,32,34,39,41,43,43,41,37,32,29,23,22,20,20,22,27,32,35,37,41,46,50,52,52,54,55,62,61,59,56,51,45,39,36,28,26,24,23,25,25,25,24,27,28,30,31,29,26,22,20,17,15,14,13,13,15,18,19,23,24,26,28,29,30,29,29,26,26,24,23,21,19,18,17,13,13,12,12,12,12,11,11,10,10,10,10,10,10,10,10,8,8,8,7,7,6,6,6,5,5,5,5,5,5,5,5,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 4,4,4,4,4,4,4,4,6,6,6,7,7,8,8,8,9,9,10,11,11,12,13,13,13,13,13,14,14,15,15,15,14,14,14,14,14,14,14,14,14,14,15,16,18,21,23,24,24,24,25,25,25,26,26,26,28,26,24,23,23,24,26,27,31,31,33,36,39,43,46,47,47,46,46,45,44,45,45,45,50,52,54,55,55,54,52,50,48,46,43,39,34,30,26,24,27,28,31,33,34,33,32,31,27,26,28,34,45,61,76,85,84,83,80,76,70,62,56,52,47,46,46,49,56,66,77,83,97,100,103,103,96,84,71,62,44,39,33,34,41,51,59,63,82,82,82,83,83,80,74,70,68,64,57,50,47,49,54,58,57,64,68,64,58,54,49,43,50,53,59,65,68,69,68,66,53,44,39,41,45,51,63,75,80,86,86,80,76,77,76,72,74,72,67,59,53,54,60,66,74,79,87,94,97,95,92,89,81,78,71,62,53,45,39,36,41,40,41,40,35,31,36,45,53,62,72,75,70,63,59,58,58,69,83,96,106,109,100,89,77,59,41,34,33,32,35,41,42,44,48,54,59,62,64,64,66,61,54,50,50,52,54,56,56,55,51,43,36,33,36,40,41,45,49,50,49,50,54,57,68,64,59,53,43,36,39,47,58,69,76,71,60,49,39,31,37,44,54,62,64,60,51,45,37,32,29,30,36,43,46,47,44,40,34,29,28,31,36,39,43,45,46,40,32,27,27,29,36,41,46,46,40,32,26,24,20,22,24,28,32,36,39,41,42,44,45,42,36,28,23,20,16,18,20,22,23,27,32,36,43,47,51,52,51,48,47,46,46,44,41,38,37,38,40,41,51,54,59,61,61,61,61,61,63,63,63,61,57,52,46,43,41,43,44,44,42,38,34,31,31,32,34,34,33,31,29,27,31,35,41,45,44,38,31,25,24,26,30,36,42,49,54,57,56,53,48,42,36,32,29,28,25,26,26,26,26,27,30,33,35,39,42,42,38,32,28,25,19,18,18,19,22,27,32,35,35,39,43,44,43,43,45,48,51,50,48,47,45,40,34,30,21,22,22,22,22,22,23,23,25,25,24,23,22,21,20,20,14,13,12,13,15,18,21,23,23,25,28,31,32,31,29,27,23,23,22,20,18,17,16,15,12,12,12,13,13,14,14,14,12,12,12,11,11,10,10,10,9,8,7,6,5,4,5,5,5,5,5,5,5,5,5,5,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,5,4,2,2,3,4,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 4,4,4,4,4,4,4,4,6,6,6,7,7,8,8,8,9,9,10,10,11,12,13,13,13,13,13,14,14,15,15,15,14,14,14,14,14,14,14,14,14,14,15,16,18,20,22,23,23,24,24,24,25,25,25,26,27,26,24,23,23,24,26,27,29,30,31,34,37,41,44,45,47,46,45,44,44,44,44,44,48,50,52,53,53,52,50,48,47,45,42,38,34,30,28,26,26,28,30,33,34,35,34,34,30,29,29,32,41,53,65,73,77,76,74,70,64,58,52,49,42,41,42,45,53,63,73,79,89,91,92,91,85,75,66,60,50,46,42,43,50,58,64,67,74,74,74,73,72,68,62,57,54,50,45,41,40,44,50,55,64,71,75,71,66,61,56,50,50,52,56,60,65,68,71,72,69,62,57,60,64,69,78,89,92,96,94,84,75,71,65,59,60,59,55,49,45,46,52,58,74,80,88,95,97,94,89,84,74,70,63,54,46,39,34,32,39,39,39,39,35,34,41,51,62,71,80,81,73,63,56,54,56,67,82,95,105,105,95,82,65,50,35,32,34,37,41,45,49,51,54,59,64,68,69,70,67,62,55,50,51,54,57,59,59,58,53,46,38,34,36,39,42,45,48,48,47,49,53,57,66,63,59,53,43,36,39,47,64,76,85,83,72,60,47,38,38,44,54,62,64,59,50,43,35,31,28,31,37,42,45,45,41,37,32,28,28,31,35,39,41,44,44,39,32,28,28,30,38,43,49,49,44,37,30,27,22,23,25,27,31,35,39,41,44,45,46,43,36,29,23,21,17,18,20,21,22,25,30,33,42,46,51,53,52,49,47,46,43,41,38,35,35,35,37,39,47,50,54,57,59,60,62,63,71,72,72,70,65,58,51,46,41,42,42,41,39,36,33,31,30,31,32,33,32,31,30,29,32,36,41,44,43,37,30,25,23,25,28,34,39,45,50,52,51,48,44,39,35,32,30,29,27,27,27,26,25,25,28,30,33,37,40,40,37,32,27,25,19,19,19,21,24,27,31,33,28,31,34,34,33,34,36,39,42,40,39,38,37,33,28,24,21,21,21,21,22,22,22,22,23,22,21,20,19,18,17,17,14,13,13,13,15,17,20,22,23,25,28,30,30,29,27,25,21,21,20,19,17,16,15,14,12,12,12,13,13,14,14,14,12,12,12,11,11,11,10,10,9,8,7,6,5,5,5,5,5,5,5,5,5,5,5,5,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,3,2,2,3,3,2,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 4,4,4,4,4,4,4,4,6,6,6,7,7,8,8,8,9,9,9,10,11,12,12,13,13,13,13,14,14,15,15,15,14,14,14,14,14,14,14,14,14,14,15,16,17,19,21,22,22,22,23,23,24,24,24,24,26,25,24,23,23,24,25,27,27,28,29,32,35,39,42,43,46,45,44,42,41,41,41,41,44,45,47,48,48,47,45,44,44,42,40,37,34,31,29,27,25,26,29,32,34,36,37,38,35,33,30,30,34,42,51,57,65,64,62,59,55,50,46,43,37,37,38,42,48,57,66,71,78,77,76,74,71,67,64,62,58,56,54,56,60,64,67,68,67,66,65,64,62,56,48,43,38,35,32,31,35,42,49,54,69,76,79,76,72,68,62,55,49,49,50,53,59,68,76,81,85,81,80,83,87,92,99,107,107,107,101,87,72,62,53,46,44,45,45,42,40,42,49,54,75,81,89,95,96,90,83,77,66,62,55,47,40,35,32,30,37,36,36,37,36,38,48,61,76,85,93,92,80,65,53,48,53,65,81,94,101,99,85,71,49,39,30,32,39,45,49,53,55,55,57,61,66,70,72,72,66,60,53,49,50,55,59,62,62,61,57,49,40,35,35,37,42,44,46,45,44,46,51,56,64,61,59,53,44,37,40,47,69,83,95,96,87,74,57,45,40,46,55,62,64,59,48,40,32,29,27,30,36,41,42,41,36,33,29,26,27,30,35,38,39,41,42,38,33,29,30,31,39,44,51,53,50,42,35,31,25,24,24,25,27,32,36,39,44,45,46,42,36,29,24,21,17,19,20,20,21,23,27,30,39,44,50,53,52,49,46,44,38,36,34,32,31,32,33,34,40,43,48,51,54,58,62,65,76,78,79,78,72,63,53,47,41,40,38,37,34,32,31,30,28,29,29,29,30,30,30,30,34,37,41,43,41,35,29,24,21,23,26,30,35,40,43,45,42,40,37,34,32,31,30,30,29,29,28,25,22,22,23,25,30,33,37,38,35,31,27,26,20,21,22,25,27,28,29,30,23,24,24,24,23,24,27,30,31,30,29,29,28,26,22,19,20,20,20,21,21,22,22,22,20,19,18,17,16,15,14,13,13,13,13,13,15,17,20,21,24,25,27,28,28,26,24,22,19,18,18,17,16,15,14,13,12,12,12,13,13,13,13,14,12,12,12,12,11,11,11,10,9,9,7,6,5,5,5,5,5,5,5,5,5,5,5,5,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,2,2,1,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 5,5,5,5,5,5,5,5,6,6,6,7,7,8,8,8,8,8,9,10,11,11,12,12,13,13,13,14,14,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,16,18,19,20,21,21,21,22,22,22,23,23,25,24,23,23,23,24,25,26,27,27,29,32,35,39,42,43,44,43,41,39,38,36,36,36,38,39,40,40,40,40,39,38,38,37,36,34,32,30,29,28,23,24,27,29,33,36,39,40,38,36,32,29,30,35,40,44,51,51,50,48,45,42,39,37,35,35,36,40,45,51,56,60,65,63,61,59,60,63,66,69,69,69,68,67,67,66,64,63,63,62,62,61,58,52,44,38,31,29,27,29,36,45,54,59,69,74,76,73,70,67,61,54,47,45,43,45,53,65,77,85,92,93,96,101,108,114,120,125,122,116,102,83,65,51,43,39,36,40,44,46,47,49,55,60,73,78,86,91,90,84,75,68,62,58,52,45,40,36,35,34,36,34,34,36,36,42,56,70,92,100,108,104,89,68,52,44,49,62,77,89,95,91,74,58,38,33,31,37,48,56,61,62,57,55,54,56,61,65,66,65,60,54,47,44,46,52,58,61,64,64,59,51,41,35,34,36,42,43,44,42,41,42,47,52,59,58,56,53,44,37,39,46,67,83,99,104,98,84,65,50,44,48,55,62,64,58,47,38,28,26,25,28,33,37,37,35,30,29,27,26,28,32,36,39,39,40,40,37,33,31,31,32,38,43,50,54,52,46,39,34,26,24,22,21,23,27,32,36,40,42,42,39,33,27,22,21,18,19,20,20,19,21,24,27,36,42,49,52,51,47,43,41,33,31,29,28,27,28,29,30,33,36,40,45,49,54,60,65,75,77,79,77,72,62,52,45,40,38,35,32,29,28,27,27,25,25,25,25,26,28,29,30,34,37,40,41,39,33,27,23,20,21,24,27,31,33,35,36,32,31,30,28,28,29,30,31,29,29,27,23,19,18,18,20,26,30,34,35,33,31,29,28,22,24,27,30,31,30,29,27,22,21,20,19,18,20,23,25,24,23,22,23,24,23,21,18,19,19,20,20,21,22,22,22,19,18,17,16,14,13,12,11,13,13,13,13,15,17,19,20,24,24,25,26,25,23,20,19,16,16,16,15,14,14,13,13,13,13,13,13,13,13,14,14,13,13,12,12,12,11,11,11,10,9,8,6,6,5,5,6,5,5,5,5,5,5,5,5,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,2,4,4,2,1,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 5,5,5,5,5,5,5,5,6,6,6,7,7,8,8,8,8,8,9,9,10,11,12,12,13,13,13,14,14,15,15,15,15,15,15,15,15,15,15,15,15,15,14,14,15,16,17,18,19,19,20,20,20,21,21,21,23,23,23,23,24,24,25,26,28,29,30,33,36,40,43,45,43,42,39,37,34,32,31,31,32,32,33,33,33,33,32,32,32,32,31,31,30,30,29,29,23,24,25,27,31,35,38,40,40,37,33,30,29,31,34,36,40,39,39,37,36,34,32,31,35,35,37,39,42,45,47,49,50,48,46,47,52,60,69,75,82,82,81,77,71,64,58,55,56,57,58,60,58,54,46,41,34,31,29,32,40,50,57,60,65,68,68,65,63,61,56,50,43,40,38,39,47,60,74,82,93,98,105,114,123,133,139,142,136,123,102,77,56,41,36,37,38,44,52,57,58,60,63,67,68,72,78,81,80,74,66,60,57,54,50,45,42,40,39,39,36,34,34,36,38,45,61,76,102,111,118,113,96,73,54,45,47,58,72,82,87,81,64,48,34,34,38,47,60,70,72,70,59,55,50,51,54,57,57,54,49,44,39,37,40,47,53,56,64,63,58,49,39,33,33,35,41,44,45,44,41,40,43,46,53,53,53,50,42,35,37,43,63,80,99,107,105,92,73,56,49,51,55,61,64,59,49,40,28,25,23,25,30,33,32,30,27,27,27,28,31,36,40,43,41,41,40,38,35,32,32,32,35,39,45,50,51,47,40,35,27,24,20,18,18,22,27,30,34,36,36,34,29,24,20,19,19,20,20,19,19,20,23,25,34,39,46,49,47,43,38,36,28,27,26,25,25,25,26,27,27,30,35,39,44,49,55,60,67,69,71,71,66,59,51,46,42,39,35,30,27,25,24,24,23,23,23,23,24,26,27,28,34,35,37,38,35,31,25,22,20,21,23,25,27,28,28,28,25,24,24,24,25,27,29,30,28,27,25,21,17,15,15,17,24,28,32,34,33,32,31,31,28,30,34,36,36,33,30,27,23,21,18,17,17,18,20,21,19,18,17,18,20,21,19,18,19,19,20,21,22,22,23,23,21,20,19,17,15,14,12,12,12,13,13,14,15,16,17,18,22,23,23,23,21,20,18,17,15,15,15,15,15,14,14,14,15,15,15,15,14,14,14,14,13,13,13,12,12,12,11,11,10,9,8,7,6,6,6,6,5,5,5,5,5,5,5,5,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,4,4,2,0,1,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 6,6,6,6,6,6,6,6,6,6,6,7,7,8,8,8,7,8,8,9,10,11,11,11,13,13,13,14,14,15,15,15,16,16,16,16,16,16,16,16,15,15,14,14,14,15,16,16,18,18,18,18,19,19,20,20,21,22,22,23,24,24,25,25,29,30,32,34,38,41,44,46,44,42,39,36,33,31,29,29,28,28,28,28,28,28,28,28,28,28,29,29,30,31,31,31,27,26,26,27,30,34,38,40,41,38,34,31,29,29,31,32,32,32,31,30,29,28,27,27,32,33,36,38,40,41,41,41,38,37,36,39,46,58,69,77,90,90,88,82,71,60,51,46,46,49,53,58,60,58,53,48,42,37,34,36,43,51,55,57,60,61,58,54,53,54,50,45,38,36,34,36,43,54,65,73,87,95,105,116,128,141,149,150,143,125,100,74,51,37,36,40,48,55,64,68,68,67,66,67,61,63,66,67,66,62,57,54,52,50,49,46,44,43,42,42,38,36,36,38,40,47,63,78,105,114,121,116,99,76,57,47,46,55,66,74,77,72,56,41,34,39,47,58,73,84,84,78,65,58,50,47,49,50,48,45,40,36,32,32,37,43,49,52,60,59,53,44,35,31,32,35,43,47,50,50,45,41,40,40,46,46,48,47,39,32,33,39,58,75,95,107,108,99,81,65,55,54,55,60,63,61,52,43,31,27,24,24,27,30,29,27,26,27,28,32,36,41,45,48,46,44,42,39,36,33,31,30,31,34,39,45,47,45,40,35,28,25,20,17,17,19,23,26,28,30,30,29,25,21,19,19,20,20,21,20,19,20,23,26,32,36,42,43,41,36,32,30,25,25,24,24,24,24,24,25,23,26,31,36,39,43,48,52,57,58,59,60,59,56,53,50,46,44,39,34,29,25,23,23,22,22,23,24,25,26,27,27,31,32,34,34,32,28,24,22,21,22,24,25,25,24,23,22,20,20,20,20,22,24,27,28,27,27,25,21,17,15,16,17,23,27,32,34,35,35,35,36,36,38,40,42,40,37,33,30,24,22,19,17,18,18,18,17,15,13,13,14,16,18,17,16,19,20,20,22,23,24,25,25,23,22,21,19,17,15,13,13,12,12,13,14,15,16,16,17,20,20,20,20,19,17,16,15,15,16,16,16,16,16,17,17,17,17,17,16,16,16,16,15,14,13,13,13,12,12,12,12,10,10,8,7,6,6,6,6,5,5,5,5,5,5,5,5,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,4,3,1,1,5,8,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 6,6,6,6,6,6,6,6,6,6,6,7,7,8,8,8,7,7,8,9,10,10,11,11,13,13,13,14,14,15,15,15,16,16,16,16,16,16,16,16,15,15,14,14,13,14,14,15,16,17,17,17,18,18,18,19,20,21,22,23,24,25,25,25,29,30,32,34,38,41,44,46,47,45,42,38,35,32,30,29,28,27,27,27,27,27,27,28,26,27,28,30,31,33,34,35,33,31,29,29,30,34,38,41,41,39,35,31,28,27,27,27,28,28,27,26,25,25,25,25,26,28,32,35,38,38,38,37,36,35,35,38,46,58,70,77,88,89,86,78,65,52,42,37,37,41,49,57,64,65,62,59,53,47,42,41,46,51,53,52,53,52,46,41,41,44,42,37,33,33,33,35,40,48,56,61,71,81,93,103,117,133,141,141,136,118,95,73,55,43,45,53,63,70,78,80,76,69,65,63,55,54,54,53,52,51,50,50,49,49,50,50,49,48,46,45,41,39,39,40,41,47,62,77,102,110,118,114,98,76,59,50,46,53,61,66,68,65,51,38,34,42,54,67,83,95,94,86,71,61,50,45,45,44,40,36,34,32,30,32,37,43,48,50,56,53,47,38,30,28,32,36,46,52,58,58,52,45,39,37,40,41,43,43,36,29,29,35,52,68,88,102,107,102,87,72,60,56,55,58,63,62,55,48,37,32,26,25,27,29,29,28,26,28,31,36,41,47,51,53,51,48,45,41,37,34,30,28,30,31,34,40,44,44,40,36,30,27,23,19,18,19,22,24,24,25,27,26,23,21,20,20,20,21,21,20,20,21,24,27,31,34,38,38,35,30,27,25,24,24,24,24,24,24,24,24,21,25,30,34,36,38,41,43,44,45,45,47,49,51,53,54,53,51,46,40,34,29,25,23,24,25,27,28,29,28,28,27,28,29,30,30,29,26,23,21,23,24,25,26,25,22,20,18,18,18,18,18,20,22,25,26,28,27,26,23,20,18,20,21,24,27,32,35,36,37,39,40,43,45,46,46,44,40,36,33,27,25,22,21,22,22,19,16,14,13,12,13,15,17,17,16,20,21,21,23,24,25,26,27,24,23,21,19,17,15,14,13,12,12,13,14,15,15,16,16,18,18,18,17,17,16,15,15,17,17,17,18,18,19,19,19,19,19,19,18,18,17,17,17,14,14,13,13,13,12,12,12,11,10,9,7,7,6,6,7,5,5,5,5,5,5,5,5,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,3,4,3,0,2,8,14,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 6,6,6,6,6,6,6,6,6,6,6,7,7,8,8,8,7,7,8,9,9,10,11,11,13,13,13,14,14,15,15,15,16,16,16,16,16,16,16,16,16,15,14,13,13,13,14,14,16,16,16,17,17,17,18,18,20,21,22,23,24,25,25,25,29,29,31,34,37,41,44,45,50,48,44,40,36,33,31,30,29,28,27,27,27,27,28,29,27,27,29,31,33,35,37,38,37,35,32,31,32,35,39,41,42,39,35,31,27,25,24,23,27,26,25,24,23,23,23,24,21,24,29,33,36,37,37,36,39,38,39,42,50,61,71,78,82,83,80,72,58,44,34,29,33,38,47,59,68,71,70,67,62,55,48,46,49,52,52,50,47,44,37,31,31,35,35,31,30,31,32,35,39,45,50,53,55,66,78,88,102,119,127,127,125,109,90,74,61,52,56,66,75,81,88,88,81,71,63,59,50,49,46,44,44,45,47,48,49,50,53,54,54,53,51,49,43,41,41,42,42,47,61,76,98,107,114,111,96,76,59,51,46,52,58,61,63,61,49,37,33,43,57,72,89,102,100,90,73,62,49,42,41,39,34,29,32,30,30,33,39,45,49,50,53,50,43,34,26,26,31,37,48,55,63,65,58,48,39,35,36,37,41,41,34,27,27,33,46,62,82,97,104,101,87,74,62,58,55,57,63,63,57,51,42,36,29,26,28,30,30,29,27,29,33,39,44,50,54,57,54,51,47,42,38,34,29,26,29,30,32,37,42,44,41,37,31,29,25,22,20,20,22,23,22,23,25,24,22,21,21,22,20,21,21,21,20,22,25,28,30,33,35,34,31,26,23,22,24,24,24,24,24,24,24,24,21,25,30,33,35,35,36,37,35,34,34,36,40,46,52,55,58,56,51,45,38,32,27,25,26,27,30,32,32,31,29,28,26,27,28,28,27,25,23,21,24,25,26,26,25,22,19,17,18,18,17,17,19,21,23,25,29,29,28,25,22,22,23,25,24,28,33,36,38,39,41,43,48,49,49,49,47,42,38,35,31,29,26,26,27,26,22,18,16,14,13,14,17,18,19,18,21,21,22,23,25,26,27,28,24,23,21,19,17,15,13,13,12,12,13,14,15,15,15,15,17,17,16,16,16,15,15,15,17,18,18,19,20,20,21,21,21,20,20,20,19,18,18,18,14,14,14,13,13,12,12,12,11,10,9,8,7,7,7,7,5,5,5,5,5,5,5,5,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,3,4,2,0,3,11,18,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 6,6,6,7,7,8,8,8,6,7,8,9,9,9,8,8,9,9,9,9,9,9,9,9,12,12,12,13,13,14,14,14,15,16,17,18,19,20,19,19,19,18,16,14,13,13,14,14,15,14,14,15,16,17,19,19,19,21,23,23,23,23,25,27,24,27,31,35,37,41,45,48,47,48,47,44,39,36,35,36,33,32,31,31,34,35,35,35,35,34,33,35,39,42,43,43,43,41,38,36,35,36,39,40,41,39,35,28,23,22,24,26,30,29,28,29,29,28,25,22,23,24,26,29,32,35,37,38,38,43,48,51,57,66,70,69,75,72,66,58,48,39,31,27,30,35,46,58,69,74,75,73,64,61,56,52,48,48,48,49,38,39,38,34,34,37,38,35,33,32,34,38,43,46,46,45,47,51,59,72,88,102,112,117,111,102,87,73,65,64,68,72,87,88,87,82,74,63,53,46,42,42,42,42,43,44,45,46,48,50,52,55,57,58,58,58,51,50,48,46,47,53,62,68,83,91,99,97,85,68,56,49,44,49,56,61,61,55,47,42,39,46,61,79,95,100,96,89,74,67,56,46,39,35,33,31,29,33,39,45,50,53,53,53,54,46,39,34,29,28,34,42,54,63,70,69,63,54,43,33,32,34,36,37,37,34,31,29,40,55,75,93,105,106,94,80,60,56,52,54,58,60,56,52,44,40,36,33,33,32,31,29,30,31,34,41,49,57,62,63,62,55,49,47,42,35,31,32,31,36,41,42,43,43,37,30,30,28,27,28,29,28,26,24,28,26,25,25,26,26,25,23,25,23,23,24,27,30,30,30,34,32,29,26,24,23,23,23,25,26,28,29,29,27,25,24,23,24,26,28,30,31,31,31,28,29,30,31,35,42,51,57,59,61,60,54,44,35,30,29,30,33,36,38,38,35,32,29,28,27,26,25,25,25,25,26,26,26,25,25,23,22,20,19,20,22,23,23,23,23,25,26,26,26,27,28,28,28,27,27,28,29,32,34,37,38,39,40,45,46,47,48,46,42,38,36,37,36,35,35,34,30,25,21,17,16,15,14,14,16,17,18,19,21,24,27,29,30,29,28,24,23,21,18,16,15,14,13,12,12,13,14,15,16,16,17,14,13,13,13,13,14,15,16,18,18,18,19,19,19,20,20,21,21,21,21,20,19,18,17,17,17,16,15,15,14,13,13,11,11,10,9,9,8,7,7,7,7,7,6,6,5,5,5,5,5,5,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 6,6,7,7,7,8,8,8,6,7,8,9,9,9,9,8,9,9,9,9,9,9,9,9,12,12,12,13,13,14,14,14,15,16,17,18,19,19,19,19,18,17,16,14,13,13,13,14,14,14,14,14,15,16,18,19,19,21,22,23,23,23,25,27,25,28,32,35,37,40,44,47,48,48,48,45,42,39,39,39,37,36,35,36,38,39,39,38,36,36,37,41,46,51,53,54,51,48,44,40,38,38,40,42,41,39,35,29,24,23,24,26,31,30,31,32,33,32,29,26,26,26,27,29,32,36,40,42,46,51,54,55,58,65,67,65,63,60,55,48,41,34,29,26,30,35,43,55,65,71,72,71,65,62,56,51,48,46,46,46,39,42,43,41,42,45,44,40,37,35,36,39,44,47,47,46,41,43,48,59,72,86,96,101,96,89,79,70,66,69,74,79,85,83,80,74,66,57,49,44,42,43,44,45,46,47,48,48,50,52,54,56,59,60,61,62,55,54,52,49,49,52,58,63,71,79,86,85,75,61,51,46,43,47,54,59,60,55,49,44,43,48,60,75,89,93,89,84,72,66,57,49,43,39,36,34,33,37,43,49,54,56,56,56,53,46,39,34,29,27,33,41,55,64,72,71,65,57,45,35,30,32,35,37,37,36,33,32,41,55,74,91,102,104,92,79,65,59,54,54,57,58,55,51,43,41,38,36,35,34,32,30,28,29,33,40,50,59,65,67,64,57,51,48,43,38,36,38,39,45,49,49,48,46,39,30,29,28,29,31,33,33,31,29,31,30,28,28,29,28,26,24,24,24,24,26,30,33,34,33,33,31,28,24,23,23,24,25,31,33,35,36,35,32,29,27,24,24,25,27,28,30,32,32,28,29,30,31,34,40,48,54,63,65,65,60,50,41,36,34,33,35,38,40,40,37,34,31,28,28,26,25,25,24,25,25,25,24,24,24,23,21,20,19,21,22,24,23,22,22,23,25,26,26,28,29,29,29,29,28,28,29,30,32,33,35,36,37,41,42,44,44,43,41,38,36,38,37,36,36,34,31,26,22,17,16,15,15,15,16,18,19,19,21,24,27,28,28,28,27,24,23,21,18,16,14,13,13,11,11,12,13,14,15,15,16,14,14,13,13,14,15,16,16,18,19,19,19,20,20,20,20,22,22,22,22,21,20,18,18,17,17,16,15,14,14,13,13,11,11,10,9,9,8,7,7,7,7,7,6,6,5,5,5,5,5,5,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 6,7,7,7,8,8,8,8,7,8,9,9,10,10,9,9,10,10,10,10,10,10,10,10,12,12,12,12,13,13,13,13,15,15,17,18,19,19,19,19,18,17,15,14,13,13,14,14,13,13,13,13,14,15,16,17,18,20,22,23,22,23,25,27,26,29,32,35,37,39,43,46,48,49,49,47,45,43,44,45,44,43,42,43,45,46,44,42,40,40,41,46,53,58,61,62,60,56,49,42,38,38,39,40,40,39,36,31,27,24,25,26,32,33,34,37,40,39,35,32,30,29,29,29,33,38,44,47,55,59,60,58,59,61,60,56,49,47,44,40,35,32,30,29,32,35,41,50,58,64,66,65,62,60,55,50,46,44,43,43,43,48,52,54,57,59,55,48,42,39,37,40,45,50,50,49,40,38,39,44,53,65,74,79,78,74,68,64,65,69,75,79,77,73,67,59,52,47,44,43,40,42,43,45,46,46,45,45,46,47,49,51,54,58,61,62,60,60,58,54,51,51,53,56,59,66,72,72,64,54,46,43,41,45,52,57,59,56,51,48,48,51,58,68,78,81,78,74,67,63,57,53,49,45,41,39,38,42,48,54,58,59,58,57,51,45,38,34,29,27,32,39,53,63,72,72,67,58,46,36,27,29,34,38,40,40,38,37,43,56,73,89,100,102,91,79,68,61,53,51,52,53,50,47,42,41,39,39,39,37,33,30,25,26,31,40,51,62,69,73,69,61,53,49,45,42,44,49,53,59,63,62,57,51,41,32,28,29,31,35,39,40,38,36,36,35,33,32,32,31,28,25,24,24,26,30,35,39,39,39,34,31,26,23,22,24,28,30,38,40,43,44,42,38,33,29,26,25,24,25,26,29,32,34,30,30,30,31,33,38,45,50,62,66,68,64,55,46,40,38,36,38,41,43,42,39,36,33,29,28,27,25,24,24,24,24,24,23,23,23,22,21,21,20,22,23,24,23,21,20,21,22,25,26,28,30,31,31,31,30,28,28,27,27,28,29,31,32,35,36,38,39,39,38,37,36,40,39,38,37,36,32,27,23,18,17,16,15,16,17,19,20,21,22,25,27,28,28,26,25,24,23,20,17,15,13,12,11,10,11,11,12,12,13,14,14,15,15,14,14,14,15,16,17,19,19,19,20,20,21,21,21,22,22,23,22,21,20,19,18,17,16,16,15,14,13,13,13,11,11,10,9,9,8,7,7,7,7,7,6,6,5,5,5,5,5,5,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 7,7,7,8,8,8,9,9,8,8,9,10,11,11,10,10,11,11,11,11,11,11,11,11,12,12,12,12,12,12,12,13,14,15,16,18,18,19,19,18,17,17,16,15,15,14,14,14,13,13,13,13,13,14,15,16,18,20,22,22,22,23,25,27,27,29,32,34,36,38,41,43,46,48,49,49,48,48,49,51,50,49,50,51,52,52,49,46,43,42,44,48,55,61,64,66,67,61,52,43,37,34,34,35,38,38,37,35,30,28,27,28,34,35,38,42,45,45,42,39,35,33,31,30,34,40,48,52,59,63,63,59,56,54,50,45,42,40,39,37,36,35,35,36,37,38,40,45,51,54,55,55,55,53,50,46,44,43,43,43,49,56,64,70,75,76,68,58,44,40,37,41,49,56,58,58,49,44,38,36,40,48,55,59,62,60,57,56,57,61,65,68,64,59,52,45,41,40,42,44,46,47,49,49,48,46,43,41,42,42,44,47,52,57,61,64,62,62,61,57,53,50,50,50,54,58,63,63,57,50,44,41,40,44,50,55,58,57,55,53,52,53,56,61,65,67,65,63,61,59,56,54,53,50,46,42,41,44,49,54,57,58,56,55,49,43,37,34,29,26,30,37,48,58,67,67,62,55,43,34,26,29,34,40,44,45,45,44,48,59,74,88,98,101,92,80,70,61,51,46,46,47,45,41,40,40,40,41,42,39,34,31,22,24,29,39,52,64,73,77,74,65,56,50,46,46,52,61,69,77,81,78,70,59,46,34,29,31,34,39,44,46,44,43,42,40,38,37,36,33,29,26,23,25,28,34,40,44,44,43,35,32,27,24,25,30,35,39,46,49,51,52,49,43,36,31,28,26,24,24,25,29,33,36,34,34,33,32,33,36,42,46,56,61,64,62,54,45,39,37,37,39,42,44,43,40,36,34,29,28,27,26,25,25,25,25,24,24,23,22,22,22,22,22,23,24,24,23,20,19,19,20,23,25,28,30,32,32,31,30,27,25,24,22,23,24,27,28,31,31,33,34,35,36,36,36,42,40,39,38,37,33,27,23,18,18,17,16,17,19,21,22,24,25,27,29,29,28,26,24,23,21,19,16,14,12,11,10,10,10,10,11,11,12,12,12,15,15,14,14,15,16,17,17,19,19,20,20,21,21,21,21,23,23,23,23,22,21,19,18,16,16,15,15,14,13,12,12,11,11,10,9,9,8,7,7,7,7,7,6,6,5,5,5,5,5,5,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 7,7,8,8,8,9,9,9,9,9,10,11,11,11,11,11,11,11,11,11,11,11,11,11,12,12,12,12,12,12,12,11,14,15,16,17,18,18,18,18,17,17,17,17,17,16,16,15,14,14,13,13,13,14,15,15,17,19,21,22,22,22,24,26,27,29,32,33,34,35,38,40,44,46,48,50,50,51,54,56,56,56,57,59,60,58,54,50,43,42,43,47,55,63,69,72,71,65,56,46,38,34,32,32,35,37,39,38,35,33,31,31,35,37,40,44,48,49,47,44,40,37,33,32,35,41,50,55,58,62,62,58,53,50,44,37,39,38,38,38,39,40,40,41,42,41,41,42,44,45,44,42,44,43,42,42,42,43,44,45,54,63,74,83,90,90,79,66,45,39,36,41,53,64,69,69,62,54,42,34,33,37,42,45,47,46,46,46,47,50,53,55,50,46,41,37,37,40,45,49,58,58,59,58,55,52,48,46,44,45,47,50,55,61,65,68,63,63,63,59,54,50,48,48,51,54,56,56,52,46,40,37,39,42,47,53,56,58,57,57,55,54,53,53,54,54,53,52,53,52,52,53,53,51,47,44,40,42,46,49,51,52,51,50,46,41,37,34,29,26,28,34,39,49,57,58,54,47,38,29,27,31,37,43,47,50,50,50,53,63,75,86,96,99,92,82,70,61,50,44,44,44,42,39,38,38,40,41,42,40,35,31,22,23,28,38,51,64,73,77,77,68,58,51,46,47,57,68,81,91,97,94,83,69,53,41,34,35,38,43,48,50,49,48,48,46,44,42,39,35,30,26,24,26,31,37,44,47,46,45,36,33,30,28,31,38,46,51,57,59,61,60,56,48,40,35,30,28,25,24,26,30,35,38,38,38,37,35,34,36,40,43,49,54,59,58,51,43,38,36,37,39,42,43,42,39,35,32,29,29,28,27,26,27,27,27,28,27,25,24,23,23,24,24,24,25,25,23,21,19,19,20,22,25,28,31,32,32,31,30,25,24,22,21,21,23,26,27,30,30,31,32,33,35,36,37,43,41,40,39,37,33,27,23,19,18,18,18,18,20,22,24,28,29,30,31,30,28,25,23,20,19,17,15,13,11,10,10,10,10,10,11,11,11,11,11,15,14,14,14,14,15,16,17,19,19,19,20,20,21,21,21,22,22,22,22,21,20,19,18,16,16,15,14,13,13,12,12,11,11,10,9,9,8,7,7,7,7,7,6,6,5,5,5,5,5,5,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 8,8,8,8,9,9,9,10,9,10,11,12,12,12,12,11,12,12,12,12,12,12,12,12,12,12,12,12,11,11,11,11,14,14,16,17,18,18,18,18,18,18,19,19,19,19,18,17,15,15,14,14,14,14,15,16,17,19,21,22,21,22,24,26,26,28,30,31,31,32,34,36,40,42,46,49,51,53,57,60,62,63,64,66,67,64,59,54,44,42,41,44,53,64,73,78,73,68,60,50,41,35,32,30,33,37,41,42,41,38,37,36,37,37,39,43,47,49,49,47,44,41,36,34,36,42,50,55,57,62,64,60,56,53,46,39,40,41,42,43,43,43,42,42,44,43,41,41,40,39,36,33,33,34,35,37,39,42,44,46,56,66,79,91,99,98,85,70,46,39,35,42,57,71,78,80,72,61,47,35,30,31,34,37,36,36,36,38,40,44,47,48,42,41,39,40,42,47,52,55,62,62,62,62,61,59,57,55,53,54,55,58,61,64,67,68,66,66,65,61,56,51,48,48,47,49,51,52,49,44,38,34,37,40,44,48,52,55,57,58,55,53,51,48,46,44,44,43,45,45,46,48,49,48,45,42,38,38,40,41,42,43,43,43,44,39,36,34,29,25,27,32,33,42,49,48,45,40,33,26,28,32,38,45,49,52,52,52,54,62,72,81,90,95,89,80,69,60,49,44,44,44,41,38,36,36,37,39,40,38,34,30,24,24,28,36,49,61,70,75,75,66,56,48,43,45,56,69,85,97,108,106,96,82,66,53,44,44,45,47,51,53,53,52,54,53,50,48,44,39,32,27,24,27,32,39,45,47,45,43,35,33,32,33,38,46,55,61,68,69,69,66,61,52,45,40,31,29,27,26,28,32,36,39,42,42,40,37,35,34,37,39,44,49,54,53,47,41,37,37,37,39,42,43,42,38,34,31,29,29,28,28,29,30,30,31,33,32,29,27,26,25,26,26,24,26,26,24,22,20,21,22,24,26,30,33,34,33,31,29,24,24,24,24,26,28,30,32,33,33,32,32,32,34,36,38,43,42,40,39,36,32,27,22,20,19,18,19,20,22,24,25,30,30,31,31,29,26,23,21,17,16,15,13,12,11,11,11,11,11,11,11,11,11,11,11,14,13,13,13,13,14,15,16,18,18,18,19,19,19,20,20,21,21,21,21,20,19,18,17,15,15,15,14,13,12,12,11,11,11,10,9,9,8,7,7,7,7,7,6,6,5,5,5,5,5,5,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 8,8,8,9,9,9,10,10,10,11,11,12,13,13,12,12,13,13,13,13,13,13,13,13,12,12,12,11,11,10,10,10,13,14,15,17,17,18,18,17,19,19,21,21,22,21,20,19,16,16,15,15,15,15,16,16,17,19,21,21,21,22,23,25,25,27,29,29,29,29,31,33,36,39,43,47,50,54,58,62,68,69,71,74,74,70,64,59,48,44,39,39,46,56,66,72,71,67,60,51,42,35,30,27,31,36,42,46,46,43,42,41,38,37,38,40,44,47,48,48,47,43,38,35,37,42,48,53,59,65,68,67,65,62,56,49,45,47,49,50,49,47,45,43,43,42,40,40,39,36,32,29,26,28,30,33,36,39,42,44,56,66,79,92,102,101,86,69,48,40,36,42,59,75,84,86,77,66,51,38,33,32,35,37,34,34,34,35,37,40,43,45,41,42,45,49,53,56,59,61,64,65,67,69,72,74,75,76,74,74,74,74,74,73,73,72,73,72,70,65,58,52,49,48,45,46,49,51,50,46,39,35,34,36,39,43,47,51,54,55,54,52,49,45,41,38,38,38,38,38,39,42,44,44,42,39,36,35,34,33,34,35,37,38,42,38,35,34,29,24,25,30,31,38,44,42,39,37,32,26,29,33,38,44,49,51,51,51,51,58,66,73,82,87,82,74,63,55,45,41,41,41,38,34,34,34,34,36,37,36,33,30,26,26,29,35,46,58,66,70,70,62,52,43,37,39,52,65,81,97,112,114,106,94,80,69,56,54,52,52,54,56,56,56,61,60,57,54,50,43,36,30,25,28,34,40,45,46,43,39,32,32,32,35,43,52,62,68,72,72,70,66,59,51,44,39,32,31,29,29,31,34,38,40,43,43,41,37,33,32,33,35,39,43,47,47,42,37,35,35,38,40,43,44,42,39,35,32,29,29,29,30,31,33,34,35,38,36,33,30,28,28,28,29,25,26,27,25,23,22,23,24,28,30,34,36,37,35,33,31,26,26,28,31,33,36,38,39,39,37,35,33,33,35,37,38,43,41,39,38,36,31,26,21,20,20,19,19,21,23,25,27,29,30,30,29,27,23,20,17,14,14,13,12,11,11,12,12,12,12,12,12,12,11,11,11,12,12,12,12,12,13,14,15,17,17,17,17,18,18,19,19,20,20,20,20,19,18,17,16,15,15,14,14,13,12,11,11,11,11,10,9,9,8,7,7,7,7,7,6,6,5,5,5,5,5,5,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 8,8,8,9,9,10,10,10,10,11,12,13,13,13,13,12,13,13,13,13,13,13,13,13,12,12,12,11,11,10,10,10,13,14,15,16,17,17,17,17,19,20,22,23,23,22,21,20,17,17,16,15,15,16,16,17,17,19,21,21,21,21,23,25,25,26,28,28,27,27,29,31,33,37,42,46,50,54,59,62,72,73,76,78,78,74,67,62,54,47,38,34,37,46,55,60,66,63,57,49,40,33,26,23,30,36,43,48,48,47,45,44,39,37,36,38,42,46,48,48,48,44,39,36,37,41,47,51,61,68,73,73,72,71,65,58,51,53,56,57,55,52,47,44,41,40,39,40,39,36,32,28,24,25,27,31,34,37,40,41,55,64,78,91,101,100,84,67,50,42,36,43,60,77,86,88,80,69,54,42,37,37,39,41,39,38,37,36,37,38,40,42,43,46,51,57,61,63,63,63,71,73,76,81,87,93,98,101,98,98,97,95,92,89,85,83,79,78,74,67,59,52,49,48,44,46,50,53,53,50,43,39,32,33,35,39,43,47,51,53,52,51,48,44,39,36,35,35,34,34,35,37,40,41,39,37,35,33,30,29,29,31,34,36,41,38,35,34,29,24,25,29,31,38,42,40,37,36,32,27,29,32,38,43,47,49,49,49,47,53,60,67,76,81,77,69,56,48,39,36,37,37,33,30,33,32,32,33,35,35,32,30,28,28,29,35,45,55,63,67,66,58,48,39,33,34,47,61,77,94,112,118,113,102,89,79,64,61,57,56,57,58,59,58,66,64,61,58,54,47,38,33,26,29,34,40,45,44,40,37,30,30,32,37,45,55,65,71,72,70,67,62,55,47,40,36,32,32,31,31,33,36,39,41,43,43,41,36,32,30,30,32,35,38,42,41,36,32,32,33,39,41,44,45,43,40,35,32,29,29,29,31,32,34,36,38,42,40,36,32,30,29,29,30,25,26,27,26,24,23,24,25,31,33,37,39,39,37,34,32,27,29,32,36,39,42,44,45,42,40,37,34,34,35,37,39,42,41,39,38,35,31,25,21,20,20,19,20,21,23,26,27,28,29,29,28,25,21,17,15,12,12,11,11,11,12,12,13,12,12,12,12,12,12,12,12,12,11,11,11,11,12,13,14,16,16,16,17,17,17,18,18,19,19,19,19,18,17,16,15,15,15,14,13,13,12,11,11,11,11,10,9,9,8,7,7,7,7,7,6,6,5,5,5,5,5,5,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 8,8,8,9,9,10,10,10,10,10,11,12,12,13,14,14,15,15,15,15,15,15,15,15,13,13,12,12,12,11,11,11,14,14,13,13,13,14,15,16,18,18,19,19,19,20,20,20,22,21,19,18,17,18,19,19,18,18,18,19,19,20,20,20,22,24,24,24,23,23,25,28,30,32,35,39,43,50,57,62,73,75,78,82,85,82,75,68,56,49,39,31,30,35,43,49,57,57,54,49,42,35,32,31,30,34,41,51,58,58,53,47,41,40,38,38,40,44,48,51,44,45,43,38,34,35,43,50,58,70,83,89,91,90,84,77,70,69,68,66,61,54,48,44,44,43,42,45,47,47,43,38,33,27,24,28,32,35,39,44,53,67,84,94,96,91,78,66,48,41,37,44,60,76,86,90,78,70,57,46,41,43,48,53,56,53,49,44,42,42,44,46,47,58,68,70,69,69,67,64,71,76,84,96,109,122,131,137,136,134,131,124,116,108,100,96,87,87,83,76,71,66,58,49,45,45,45,46,48,49,44,37,31,31,32,36,42,47,49,50,47,45,43,44,45,45,44,42,40,39,36,34,33,34,35,36,32,31,28,27,28,30,33,36,42,41,39,36,31,29,30,31,39,44,46,44,42,42,37,31,32,34,38,44,47,46,42,39,37,41,47,54,61,63,61,58,49,43,35,32,33,35,36,36,33,34,36,35,33,31,31,32,29,29,31,35,41,49,56,60,57,50,41,35,30,30,39,50,73,87,104,116,120,116,102,88,74,70,64,60,58,60,63,66,68,70,72,68,59,48,38,33,30,31,34,39,42,41,38,34,29,27,29,37,43,48,54,61,61,60,57,53,47,42,37,35,34,33,32,32,33,36,39,41,42,42,40,36,32,30,31,33,35,37,39,36,32,29,31,33,37,41,46,47,45,40,37,35,29,29,29,31,33,36,39,41,41,39,36,33,30,28,27,26,28,29,30,27,23,22,25,29,34,39,44,47,46,43,41,40,35,35,36,39,43,47,48,47,44,41,36,32,30,32,35,37,39,39,38,36,33,29,26,24,19,19,20,21,23,24,25,25,29,29,28,26,23,20,16,14,12,13,13,14,14,14,13,13,17,16,15,13,12,12,12,12,11,11,10,10,10,11,12,12,13,13,13,14,14,15,15,15,19,19,19,18,17,16,15,14,14,14,14,13,12,11,10,9,10,10,10,9,9,9,8,8,7,7,7,6,6,5,5,5,4,4,4,3,3,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 8,8,8,9,9,9,10,10,10,10,11,12,12,13,14,14,15,15,15,15,15,15,15,15,13,13,13,12,12,12,11,11,13,13,13,13,13,14,15,15,19,19,19,19,20,20,20,21,21,20,19,18,18,18,19,20,19,19,19,19,19,19,20,20,22,23,24,23,22,22,24,26,29,31,35,38,42,47,53,57,66,68,73,80,86,86,82,78,64,56,44,33,28,29,33,37,48,49,49,46,41,36,34,33,33,36,43,52,58,59,55,50,44,42,40,38,40,43,47,50,46,46,44,39,35,36,43,49,61,74,89,98,103,103,98,90,82,80,76,71,65,59,52,48,44,43,45,49,54,55,51,47,39,32,27,28,31,33,38,44,53,66,80,89,91,87,76,64,47,42,39,46,60,74,81,83,69,63,55,49,49,55,63,68,73,69,61,53,46,43,43,44,53,64,73,74,71,68,64,59,64,73,88,106,124,142,156,164,168,165,158,148,135,122,110,104,95,96,94,87,81,75,65,55,48,47,45,46,48,48,44,38,32,32,33,37,43,47,49,49,45,44,42,44,47,51,52,53,51,48,43,38,34,33,33,34,33,32,30,29,30,32,35,37,41,41,39,35,32,32,34,37,44,50,53,52,50,48,42,34,32,33,36,40,43,42,39,36,32,34,38,44,50,52,51,49,42,37,31,28,30,34,36,36,35,36,36,34,31,29,29,30,30,30,32,34,39,45,51,54,52,45,38,32,26,25,34,44,65,79,97,110,116,113,102,90,80,75,69,63,61,63,67,70,73,76,78,75,66,55,45,39,31,32,35,38,41,39,35,32,25,23,25,31,37,40,46,52,50,49,47,45,41,36,33,31,34,33,33,33,34,36,39,40,40,40,38,35,32,30,32,34,35,37,37,34,29,26,27,30,37,41,46,47,45,40,37,35,30,30,30,31,32,35,37,39,39,37,34,31,29,28,28,28,29,31,31,28,25,25,29,33,41,46,52,55,54,50,47,45,38,37,38,41,45,48,48,48,42,38,32,28,26,28,32,35,40,40,39,36,33,29,25,23,20,20,21,22,23,25,26,26,27,27,26,24,22,19,17,16,17,18,19,19,20,19,19,19,19,18,16,15,13,12,12,12,12,11,11,10,10,11,11,12,13,13,13,14,14,14,15,15,18,18,18,18,17,16,15,14,13,13,13,13,12,11,9,8,10,9,9,9,8,8,8,7,7,7,7,6,6,5,5,5,4,4,4,3,3,3,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 8,8,8,8,9,9,9,10,10,10,11,12,12,13,14,14,15,15,15,15,15,15,15,15,14,14,13,13,13,12,12,12,13,12,12,12,12,13,14,15,18,18,19,19,20,20,20,20,20,19,19,18,19,19,20,21,20,20,20,19,19,19,19,19,21,22,22,22,20,21,23,25,27,30,33,36,39,42,46,49,58,61,68,77,84,87,87,85,71,63,51,38,30,26,27,28,37,40,43,43,41,38,37,37,38,40,46,53,58,60,58,56,51,48,45,42,41,44,47,49,49,49,47,42,38,38,43,48,61,76,94,107,117,120,115,108,96,90,82,74,67,61,55,51,44,45,49,57,65,68,65,62,51,41,31,28,29,32,38,45,52,63,74,80,82,79,71,61,46,43,42,48,60,69,73,73,60,57,53,52,57,67,78,85,91,86,75,63,51,45,44,45,59,70,79,79,73,67,59,52,55,70,93,117,141,162,180,191,192,188,178,165,148,130,115,107,102,106,107,102,97,88,75,63,52,49,46,46,48,47,43,40,35,35,37,41,46,49,50,50,44,42,41,44,51,60,66,70,69,64,55,46,39,34,32,31,34,33,32,32,33,35,37,38,40,39,37,34,32,34,38,42,50,58,64,65,62,58,48,39,33,33,34,36,38,38,36,33,27,28,29,33,37,39,39,38,33,29,25,24,27,31,35,37,38,38,37,33,29,26,26,27,30,30,31,33,36,40,44,46,45,40,34,29,24,22,28,38,55,70,88,101,108,109,101,91,83,78,71,65,63,66,71,75,80,83,86,83,74,62,51,45,33,34,36,38,39,37,32,28,23,20,22,27,31,32,36,41,40,40,40,39,37,34,32,30,33,33,34,35,36,37,38,39,38,38,36,34,32,32,34,37,39,40,39,34,28,24,26,28,36,41,46,48,45,41,37,35,31,30,30,29,30,32,33,35,35,33,29,27,26,26,28,30,30,31,32,30,28,29,35,40,48,54,61,65,63,57,51,48,42,40,40,42,44,46,45,44,37,33,28,23,23,26,32,35,42,41,40,37,33,28,24,21,20,20,21,22,24,25,26,26,25,24,22,21,20,20,19,19,22,22,23,24,25,25,25,24,22,21,19,16,15,13,13,12,12,12,11,10,10,11,11,12,13,13,13,13,14,14,14,15,17,17,18,17,17,15,14,14,12,12,12,12,11,10,9,8,9,8,8,8,7,7,7,6,7,7,7,6,6,5,5,5,4,4,4,4,3,3,3,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 7,7,8,8,8,9,9,9,10,10,11,12,12,13,14,14,15,15,15,15,15,15,15,15,15,14,14,14,13,13,13,13,12,12,12,12,12,13,14,15,17,17,17,18,18,18,19,19,19,19,19,19,20,20,21,21,21,20,20,20,20,19,19,19,21,22,22,21,20,20,22,24,26,29,32,34,35,36,39,40,53,56,62,69,76,80,82,82,75,68,58,47,39,33,31,31,31,35,40,42,42,41,41,41,43,46,50,55,59,62,62,62,60,58,53,49,47,48,49,50,53,52,50,46,42,41,44,47,59,74,95,112,126,132,128,120,103,94,82,72,65,59,54,50,45,48,55,66,76,82,82,79,64,51,38,31,30,31,38,46,51,60,67,70,71,70,65,57,44,43,43,49,58,64,65,63,57,54,51,52,60,73,87,96,99,94,83,68,55,47,46,48,60,72,82,82,75,66,55,46,49,67,94,122,147,170,188,200,196,191,181,167,149,131,116,107,104,110,115,115,111,102,86,72,57,50,45,46,47,45,43,43,40,41,43,47,52,54,53,52,44,41,41,46,56,70,81,88,90,83,71,58,46,38,33,31,35,35,35,35,36,37,38,38,38,37,34,31,30,33,38,43,55,64,72,74,72,65,54,43,35,34,33,34,36,37,35,34,28,26,24,25,28,30,30,30,25,23,21,21,25,31,37,40,42,42,39,34,28,24,23,24,27,28,29,32,34,37,40,41,42,38,34,30,25,22,28,37,51,66,83,94,100,102,97,89,80,75,68,64,63,68,74,79,84,88,90,87,77,63,52,45,37,37,38,40,40,37,31,27,25,22,22,26,28,28,31,36,37,38,41,42,42,40,38,36,34,35,36,37,38,38,38,37,36,36,36,34,33,35,39,43,47,47,45,38,30,26,27,29,35,40,46,48,46,41,37,35,30,29,28,26,26,27,28,29,29,27,23,21,21,24,28,30,29,30,31,29,29,32,40,46,55,61,69,72,69,61,53,48,43,42,40,39,40,39,38,36,30,27,23,20,22,28,35,40,45,44,42,38,33,28,23,20,18,19,20,21,22,23,24,24,22,21,20,19,19,21,22,23,25,25,26,27,28,28,27,27,24,23,21,18,16,14,13,13,13,12,11,10,10,10,11,11,12,12,13,13,13,14,14,14,16,16,17,16,16,15,14,13,10,11,11,11,10,9,8,8,8,8,7,7,7,6,6,6,7,7,7,6,6,5,5,5,5,5,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 7,7,7,8,8,8,9,9,10,10,11,12,12,13,14,14,15,15,15,15,15,15,15,15,15,15,15,15,14,14,14,13,13,13,12,12,12,13,14,15,15,15,15,16,16,17,17,17,20,20,20,20,21,21,20,20,20,20,20,20,20,20,20,20,22,23,23,22,20,20,22,24,26,29,31,33,32,32,34,35,44,48,53,59,64,69,73,76,78,74,67,60,52,46,43,41,37,40,44,46,45,44,45,45,49,51,55,58,62,64,66,68,70,68,64,60,57,54,53,53,54,53,51,48,45,44,44,46,56,71,92,111,127,135,131,123,102,92,77,67,61,57,53,49,45,49,57,70,84,93,95,93,76,62,46,37,33,33,39,46,50,56,61,61,61,62,58,53,43,42,43,48,54,58,58,57,55,51,49,50,60,75,90,100,100,95,85,70,55,46,45,47,57,71,84,86,79,68,54,43,45,62,90,119,145,167,184,193,192,187,176,161,144,127,113,105,100,110,119,123,122,114,98,83,61,51,43,44,45,43,44,47,47,48,51,55,59,60,58,55,45,43,42,48,61,78,93,101,107,99,86,70,55,44,36,33,36,37,37,37,37,37,36,36,35,34,31,28,27,30,35,40,55,65,74,76,74,68,56,44,37,35,34,35,37,39,38,37,30,27,23,22,22,23,24,23,21,20,20,21,25,31,39,44,46,45,42,36,30,24,22,22,23,24,27,31,34,37,39,40,41,38,35,33,29,28,34,43,55,68,83,90,93,94,90,84,75,71,66,63,65,70,77,82,88,91,92,88,77,63,51,45,41,41,42,43,43,40,34,29,29,25,23,25,26,26,30,35,41,45,49,53,54,51,47,44,37,38,38,38,38,37,37,36,36,36,36,35,36,40,46,50,54,54,50,43,33,27,26,28,34,39,46,49,47,42,37,35,28,27,25,23,22,22,23,23,23,21,19,17,18,22,26,29,27,29,29,29,30,35,45,53,64,70,77,79,74,64,54,48,42,40,37,35,34,32,29,26,22,20,18,18,22,30,38,44,49,47,45,40,34,28,23,19,16,16,17,18,19,20,21,22,21,21,20,20,21,23,25,27,29,30,30,31,31,30,30,29,25,24,21,19,17,15,14,14,13,12,11,10,10,10,10,10,12,12,12,13,13,13,14,14,15,15,15,16,15,15,14,13,10,10,11,11,11,10,9,8,8,8,7,7,7,6,6,6,7,7,7,6,6,5,5,5,5,5,5,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 6,7,7,7,8,8,8,8,10,10,11,12,12,13,14,14,15,15,15,15,15,15,15,15,16,16,16,15,15,15,14,14,14,14,13,13,14,14,15,16,15,15,15,16,16,16,17,17,21,21,22,22,21,20,19,18,19,20,20,20,21,21,22,22,25,26,26,24,22,22,24,25,28,30,31,31,30,30,32,33,36,39,44,48,52,57,64,68,77,76,74,70,65,60,56,54,52,54,54,53,50,48,48,49,52,56,60,63,65,67,70,72,77,76,74,70,66,62,58,55,52,51,49,47,45,44,43,43,53,66,84,103,119,127,123,114,93,82,68,59,56,54,51,47,44,47,55,69,85,96,101,101,84,71,55,45,40,37,40,46,49,53,56,54,54,55,53,48,42,41,41,44,49,52,54,54,53,52,51,54,63,76,90,98,96,93,85,70,54,44,42,44,58,74,89,93,86,73,57,44,42,56,81,109,137,158,171,178,176,169,157,142,125,110,98,92,94,105,118,126,127,120,104,89,62,49,40,42,43,41,44,50,52,54,58,62,65,65,61,58,49,47,46,52,66,83,99,108,116,109,95,79,63,50,40,35,37,37,38,38,37,35,32,31,31,30,28,26,26,28,33,37,51,60,69,71,69,64,54,43,36,35,35,37,41,43,43,42,35,31,26,22,21,21,20,19,20,20,21,21,25,31,40,46,49,49,47,41,34,27,23,21,21,23,27,32,35,38,39,39,40,37,35,35,33,34,42,52,62,73,84,87,87,85,82,78,72,69,66,65,67,72,78,82,88,89,90,85,75,63,53,47,45,45,46,48,49,46,40,36,33,27,24,25,26,27,32,38,51,56,63,69,69,64,57,52,42,41,40,39,37,36,35,35,34,35,35,36,38,43,51,56,58,58,55,47,36,28,25,25,33,38,46,49,48,43,37,35,27,25,23,21,20,19,20,20,20,19,17,17,19,22,26,28,27,28,28,28,31,39,50,59,73,78,84,83,76,65,54,47,39,36,33,32,31,29,26,23,18,18,18,21,27,35,43,48,53,51,48,43,36,29,23,19,14,14,15,16,18,19,20,20,22,22,22,23,25,27,28,29,34,35,35,34,34,32,31,30,24,23,21,19,17,16,15,15,14,13,12,11,10,10,10,10,11,12,12,12,13,13,13,13,13,14,14,15,15,14,13,13,10,10,11,11,11,11,10,9,9,8,8,8,7,7,7,6,7,7,7,6,6,5,5,5,6,5,5,5,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 6,6,7,7,7,8,8,8,10,10,11,12,12,13,14,14,15,15,15,15,15,15,15,15,17,17,16,16,16,15,15,15,15,15,14,14,15,16,17,17,16,16,17,17,18,18,18,18,22,23,23,23,22,20,18,17,18,18,19,20,21,23,23,24,28,28,28,27,25,24,26,27,30,31,31,30,29,29,32,34,36,38,40,41,42,45,51,56,67,69,72,75,75,74,71,69,71,70,67,61,55,51,50,51,55,59,64,67,68,69,72,74,80,80,80,78,73,67,60,56,47,46,44,43,43,41,40,38,45,56,71,88,103,111,106,97,79,68,54,48,48,48,46,43,41,43,51,64,80,94,100,102,89,77,62,53,46,41,42,45,47,51,53,50,50,51,48,44,41,40,39,40,43,49,53,55,58,59,61,65,71,77,83,87,86,86,82,70,56,47,46,49,64,81,98,103,95,81,62,48,42,51,70,96,123,142,151,153,147,140,127,112,98,86,78,74,84,97,111,120,122,116,100,85,62,47,37,39,41,40,44,53,55,57,61,66,68,67,62,58,54,51,50,55,69,86,101,110,118,111,99,84,68,54,43,37,37,37,38,38,36,32,28,26,25,25,26,26,26,29,34,38,46,54,60,62,61,58,50,41,32,33,35,39,43,46,47,46,43,38,33,29,26,25,22,21,20,21,21,22,24,30,39,45,51,52,51,46,38,30,25,22,22,24,29,34,37,38,38,38,37,34,33,34,35,38,48,59,66,77,85,85,81,79,76,72,69,67,65,64,66,69,73,76,80,81,82,78,69,60,53,49,48,48,50,53,54,52,47,43,40,33,28,28,29,32,39,47,64,71,80,86,85,77,67,59,47,45,42,39,36,34,34,34,32,32,33,35,38,45,53,59,64,64,62,54,42,31,26,24,32,38,46,50,48,43,38,34,27,25,23,21,20,20,20,21,20,19,19,20,21,24,27,28,27,28,29,30,33,43,56,66,79,82,85,83,74,61,50,43,35,33,31,31,32,31,30,28,25,26,27,31,37,44,50,54,57,55,51,45,38,30,24,20,14,14,15,17,18,19,20,20,23,24,25,27,29,30,31,31,36,36,35,34,33,31,29,28,23,22,20,18,17,16,16,16,14,13,12,11,10,9,9,10,11,11,12,12,12,13,13,13,12,13,13,14,14,14,13,13,10,11,12,12,12,12,11,11,10,9,9,9,8,8,8,7,7,7,7,6,6,5,5,5,6,6,5,5,5,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 6,6,6,7,7,8,8,8,10,10,11,12,12,13,14,14,15,15,15,15,15,15,15,15,17,17,17,16,16,16,15,15,16,16,15,15,16,16,17,18,18,18,19,19,19,20,20,20,24,24,24,23,22,19,17,15,17,18,19,20,22,23,24,25,29,30,30,29,26,26,27,29,32,32,31,29,28,29,32,35,41,42,41,38,35,36,40,45,54,59,67,75,80,83,83,82,84,81,75,67,59,53,51,52,56,60,66,69,69,70,73,76,80,82,83,82,77,69,61,56,43,42,41,40,40,39,37,35,37,46,60,74,89,96,91,82,66,55,43,38,40,42,41,38,38,40,46,59,76,90,98,101,92,80,66,58,50,44,43,45,46,50,51,48,48,49,46,42,41,39,37,37,40,47,53,56,66,68,72,75,77,77,76,75,76,79,78,70,59,52,53,57,70,88,105,110,102,86,66,51,43,49,63,86,111,127,132,131,125,118,106,93,81,73,68,66,76,89,104,113,115,109,93,78,62,46,35,38,40,39,44,54,56,58,62,67,69,67,62,58,56,53,52,57,70,87,101,110,116,111,100,86,71,56,44,37,37,37,38,37,35,30,26,23,20,22,25,26,28,32,36,40,42,49,54,55,54,53,47,39,30,31,34,39,45,48,49,48,50,46,40,36,33,30,27,25,20,21,22,22,23,29,37,44,52,54,54,50,42,33,26,22,24,27,31,35,38,38,37,36,34,32,31,33,34,39,50,63,68,78,85,83,78,75,72,69,66,65,63,62,62,64,66,68,71,72,73,70,63,56,51,49,49,50,53,56,58,56,52,48,47,39,33,33,34,38,47,56,75,82,93,99,97,87,75,66,50,47,43,38,35,33,33,33,30,30,31,33,37,45,54,60,69,70,68,60,48,36,29,26,31,38,46,50,48,43,38,34,27,26,24,22,21,21,21,22,21,21,21,23,24,26,28,29,29,30,30,31,35,46,60,70,79,82,84,80,70,57,45,38,32,31,30,32,34,35,35,34,35,36,38,42,47,53,58,61,59,57,53,47,39,31,24,20,15,15,16,17,19,20,21,21,23,25,28,30,32,32,32,32,34,34,33,32,30,27,25,23,21,20,19,18,17,16,16,16,14,13,12,11,10,9,9,9,11,11,11,12,12,13,13,13,12,12,13,14,14,13,13,12,11,11,12,13,13,13,12,12,10,10,10,9,9,9,8,8,7,7,7,6,6,5,5,5,6,6,6,5,5,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 6,6,6,7,7,8,8,8,10,10,10,10,10,10,10,10,12,12,13,13,13,14,14,14,16,15,15,15,15,15,15,15,15,15,15,16,16,17,17,17,19,19,19,20,20,21,21,21,23,23,24,24,23,21,18,17,21,22,22,21,20,22,26,29,30,32,35,36,35,34,34,35,33,33,33,32,31,32,36,39,41,42,42,39,33,30,32,34,44,49,57,64,70,76,82,86,92,89,83,75,66,58,51,47,53,61,67,70,73,78,80,78,77,79,82,85,84,76,63,53,42,38,34,33,36,39,39,39,41,46,53,63,74,83,80,73,61,51,40,37,40,43,42,39,39,39,42,51,63,77,88,94,86,82,72,62,58,58,53,47,47,46,46,46,46,46,45,45,43,40,36,33,35,42,52,60,67,77,85,86,83,78,71,63,67,69,70,67,62,60,63,67,80,92,104,108,106,95,72,50,40,40,52,76,98,109,115,120,110,99,85,75,65,57,56,59,66,77,92,104,105,97,84,75,53,42,34,35,38,42,50,59,56,59,63,64,63,61,59,58,55,55,57,62,71,84,95,102,106,102,94,82,68,54,43,37,35,36,37,36,32,29,28,27,27,33,37,39,43,45,42,35,41,40,39,42,46,47,44,40,32,33,35,39,44,49,54,57,55,52,49,46,43,38,33,30,27,25,22,21,23,28,33,37,51,52,54,53,48,40,32,27,26,27,30,35,38,39,36,34,30,29,28,29,33,43,54,62,72,77,81,80,74,67,63,61,62,63,64,62,59,57,56,57,62,61,58,56,53,51,50,49,48,51,57,63,67,66,61,56,52,44,37,36,39,44,55,65,80,91,101,101,95,84,70,58,48,41,34,31,32,33,29,26,27,26,28,32,35,39,50,62,71,77,78,68,54,42,32,24,29,34,42,49,51,47,38,32,23,23,23,26,28,30,29,27,31,30,28,27,27,28,29,30,29,28,29,32,39,49,59,65,80,81,80,74,63,51,41,36,28,29,32,36,40,44,48,49,47,48,51,54,57,60,62,63,63,58,51,44,37,30,23,18,14,15,16,17,20,22,25,26,28,30,32,34,35,35,35,34,36,34,31,28,25,23,22,21,18,17,16,15,15,15,16,16,13,13,12,11,11,11,12,12,12,12,12,13,13,14,14,14,14,14,14,14,14,14,14,14,13,13,13,13,13,13,13,13,11,10,9,8,8,8,8,9,8,8,7,6,6,6,7,7,6,6,6,5,5,4,4,4,5,5,5,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 6,6,6,7,7,8,8,8,10,10,10,10,10,10,10,10,12,12,12,13,13,13,14,14,15,15,15,15,14,14,14,14,16,16,16,17,17,18,18,18,18,19,19,20,20,21,21,22,24,24,25,26,25,24,22,21,22,23,22,21,20,21,24,27,29,32,36,37,36,34,34,34,32,32,33,32,32,35,40,43,47,48,47,42,35,31,31,32,34,39,45,52,58,66,73,78,87,85,81,74,66,57,49,44,50,58,67,71,75,80,79,76,75,75,76,78,78,73,63,55,44,39,34,33,35,39,41,42,39,44,50,57,68,75,73,66,61,53,45,43,47,49,46,42,41,40,41,47,58,70,80,85,81,78,72,65,63,63,58,50,47,45,44,44,46,48,49,50,47,43,38,33,33,39,49,56,71,81,89,90,85,79,69,60,53,58,63,66,66,66,67,68,78,88,99,104,102,91,69,49,36,37,49,74,97,109,116,121,109,97,82,71,62,55,55,58,64,72,85,93,93,85,73,65,50,41,35,37,41,44,51,59,56,58,61,61,60,58,56,55,57,57,59,63,70,78,86,91,93,90,83,73,61,50,40,35,36,38,39,37,34,30,29,28,32,39,45,49,52,53,47,39,38,36,35,38,42,43,40,37,33,34,35,38,43,48,53,56,58,56,54,52,49,44,37,33,29,27,24,22,24,28,33,36,46,49,52,54,51,45,38,33,28,28,30,33,36,37,35,33,30,29,28,27,31,39,49,57,65,69,72,70,64,58,55,55,56,58,59,58,55,51,49,49,50,49,48,47,46,46,46,46,49,52,57,63,67,66,61,57,51,43,36,35,38,43,54,64,80,90,99,98,92,81,67,56,45,39,33,30,32,32,29,25,24,23,24,28,32,37,49,61,74,80,81,71,57,45,34,25,28,33,40,47,50,46,38,31,25,25,27,30,34,36,36,35,35,33,31,29,28,28,29,30,30,30,30,33,40,49,57,62,70,71,70,64,54,43,34,30,29,32,36,41,46,50,53,54,53,54,55,56,59,61,62,63,59,54,48,41,35,29,23,18,13,13,13,15,17,20,24,26,31,32,34,35,36,36,35,34,34,32,29,26,23,21,20,19,16,16,15,15,15,16,16,17,14,13,12,11,11,11,12,12,12,12,12,13,13,14,14,14,15,15,15,15,15,15,15,15,14,14,14,14,14,14,14,14,12,11,10,9,9,9,9,9,9,8,7,6,6,6,7,7,6,6,6,5,5,4,4,4,5,5,5,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 6,6,6,7,7,8,8,8,10,10,10,10,10,10,10,10,11,11,12,12,12,13,13,13,13,13,13,13,14,14,14,14,17,17,17,17,18,18,18,19,17,18,19,19,21,21,22,23,25,26,28,29,30,29,28,27,25,26,25,23,21,21,23,25,29,32,36,38,37,35,33,33,31,32,32,33,34,39,45,49,55,56,54,48,39,31,29,29,26,29,33,37,43,50,58,64,73,73,73,69,63,54,45,40,44,54,65,72,78,82,79,74,70,68,66,67,69,68,63,59,47,42,37,35,37,41,45,47,48,52,57,62,71,79,78,72,68,63,58,57,59,58,53,47,42,39,38,42,50,61,69,74,73,74,73,71,71,71,64,55,47,44,41,41,45,50,55,57,52,48,41,35,32,36,45,51,72,83,92,92,87,78,65,54,44,49,57,66,72,72,69,65,71,80,89,94,93,82,63,45,31,34,48,73,98,115,123,127,113,99,81,69,60,54,54,58,63,68,75,80,78,70,60,53,46,40,37,40,45,48,53,58,57,57,58,58,57,54,52,51,57,58,61,64,67,71,74,75,76,74,69,63,55,47,40,36,40,41,42,41,37,33,31,31,39,48,58,64,67,64,55,44,36,34,32,35,39,41,39,37,35,35,36,38,41,46,51,53,61,61,60,60,57,51,42,37,30,28,24,22,23,27,32,35,41,45,51,55,54,50,43,39,30,29,28,30,32,34,33,32,29,28,26,25,26,33,42,48,56,59,61,58,52,47,46,47,47,50,53,52,48,43,40,38,37,37,38,39,40,41,42,42,47,50,54,60,63,63,59,55,49,40,33,32,35,40,51,61,75,84,91,89,82,72,60,49,40,36,31,30,31,30,27,24,21,19,20,24,28,34,47,60,76,83,85,76,62,49,36,27,27,31,37,44,47,44,37,31,25,26,29,34,39,43,44,44,40,38,34,31,28,28,28,28,30,30,31,34,39,46,52,56,59,59,58,52,43,35,28,25,30,34,41,48,54,57,59,59,56,56,56,56,56,57,58,58,53,49,43,38,33,28,22,18,15,14,13,13,16,20,24,27,33,34,35,36,36,35,34,33,30,29,26,23,20,18,17,16,14,14,15,15,16,17,18,18,15,14,13,12,12,12,12,12,13,13,13,13,14,14,14,14,15,15,15,15,15,15,15,15,14,14,14,14,14,14,14,14,13,12,11,10,10,10,10,11,9,8,7,6,6,6,6,7,6,6,6,5,5,4,4,4,5,5,5,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 6,6,6,7,7,8,8,8,9,9,9,9,9,9,9,9,10,11,11,11,12,12,12,12,12,12,12,13,13,13,13,14,16,16,17,17,17,18,18,18,17,18,18,19,21,22,22,23,25,27,29,32,33,34,33,33,30,30,29,26,23,22,23,24,27,31,36,38,37,35,34,33,31,32,33,34,36,41,48,54,60,61,60,52,41,32,27,26,25,26,27,28,30,35,41,46,53,56,58,59,55,48,40,35,38,49,62,72,81,85,81,74,65,60,55,54,58,62,64,64,52,48,43,40,42,47,52,56,62,67,71,76,85,93,93,89,84,81,78,76,75,69,60,52,41,38,36,38,45,53,60,64,67,72,75,77,79,78,68,57,47,42,37,37,43,51,58,61,58,54,46,38,34,36,42,47,65,76,86,87,82,73,60,49,45,47,54,64,72,72,65,58,62,67,74,79,78,69,52,39,30,36,53,79,107,128,138,141,124,107,86,72,62,56,55,58,62,64,67,67,64,57,50,45,42,41,42,46,51,54,56,57,58,57,55,55,54,52,50,48,54,56,59,62,63,63,63,62,62,61,60,57,53,49,44,42,45,47,48,46,42,38,36,36,46,57,69,76,78,73,60,46,37,34,33,35,40,43,42,40,37,36,36,36,39,43,47,50,61,62,63,64,62,55,45,38,30,27,24,21,22,25,30,33,39,44,50,55,55,51,45,40,31,29,27,27,29,30,31,30,29,27,25,22,22,27,34,40,48,50,51,47,41,38,38,40,40,44,48,48,43,37,32,29,30,31,33,35,36,37,38,39,41,43,47,51,55,55,52,49,44,36,29,28,30,35,45,55,64,72,78,75,68,60,50,41,36,33,31,30,30,29,26,23,20,18,19,22,26,32,45,58,74,82,86,78,65,51,38,27,25,28,34,41,44,42,37,32,24,25,28,35,42,47,49,49,43,40,35,30,27,25,25,25,28,28,30,33,37,42,46,49,52,52,49,44,36,30,27,26,31,36,44,52,57,60,60,60,53,52,50,49,48,48,49,49,47,43,39,34,31,27,22,18,17,16,14,13,16,20,25,28,32,32,33,34,33,32,30,29,26,25,23,20,18,16,15,14,13,14,16,17,18,19,20,20,16,16,14,13,13,12,13,13,13,14,14,14,14,14,14,14,16,16,16,16,16,16,16,16,15,15,15,15,15,15,15,15,14,13,12,11,11,11,11,12,10,9,8,7,6,6,6,6,6,6,6,5,5,4,4,4,5,5,5,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 6,6,6,7,7,8,8,8,9,9,9,9,9,9,9,9,10,10,10,10,11,11,11,12,12,12,12,13,13,14,14,14,16,16,16,16,17,17,17,18,18,18,19,20,20,21,22,22,25,27,30,33,35,36,36,36,33,34,33,30,26,24,24,25,26,30,35,37,37,36,35,36,33,34,34,34,36,42,49,55,62,63,62,56,44,34,28,26,28,29,28,26,24,24,26,29,35,38,42,45,44,40,35,32,34,45,58,70,82,89,86,79,63,55,47,44,48,56,63,66,57,54,50,48,48,53,60,65,72,79,85,91,100,109,111,109,105,102,97,93,86,75,62,53,37,35,34,36,41,49,54,57,63,70,78,83,86,84,72,59,48,41,33,33,40,50,57,61,60,57,50,42,37,37,41,45,53,64,74,75,72,65,54,44,44,44,49,58,67,68,62,54,53,54,57,62,62,54,42,34,34,43,63,91,121,144,154,155,136,117,94,77,66,59,56,58,58,58,57,55,52,47,43,41,42,45,50,55,60,63,61,58,60,57,53,52,52,51,49,46,48,50,53,56,57,57,55,54,51,52,54,54,54,53,51,50,53,54,55,53,49,45,43,42,53,64,77,84,84,77,61,46,34,33,33,37,43,46,46,44,39,38,36,35,37,40,44,47,56,58,61,64,62,55,45,38,29,26,22,20,21,24,28,32,40,44,49,53,52,47,41,37,30,27,25,24,26,28,28,28,28,26,23,20,19,23,29,34,40,42,42,38,33,30,31,33,36,40,45,45,41,34,28,25,27,28,30,31,32,32,32,32,32,33,36,40,44,44,43,40,37,30,24,24,26,30,38,47,54,61,65,62,57,51,44,37,34,33,32,32,31,29,25,23,21,19,20,23,25,31,43,55,68,78,84,79,67,53,39,28,24,27,32,38,42,41,37,33,25,27,30,37,44,49,51,52,43,39,33,27,23,22,22,23,24,26,29,32,36,40,43,44,48,46,42,36,30,27,26,27,31,36,43,51,55,56,55,54,46,45,43,41,40,41,42,43,43,40,36,32,30,26,22,19,18,16,13,12,14,18,22,25,27,28,28,29,28,26,24,23,22,21,20,18,16,16,15,15,15,16,18,21,22,23,23,23,19,18,17,16,15,14,14,14,15,14,14,14,14,14,14,14,16,16,16,16,16,16,16,16,15,15,15,15,15,15,15,15,14,14,13,12,11,11,12,12,10,9,8,7,6,5,5,5,6,6,6,5,5,4,4,4,5,5,5,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 6,6,6,7,7,8,8,8,8,8,8,8,8,8,8,8,9,9,9,10,10,10,11,11,12,12,12,13,14,15,15,15,16,17,17,17,18,18,18,19,19,19,20,20,20,20,21,21,23,25,28,32,34,35,36,36,34,35,34,32,28,25,24,24,25,29,33,35,36,37,38,40,38,37,36,35,36,40,47,53,60,63,64,59,49,39,33,31,31,33,33,31,27,24,22,22,25,27,30,33,34,33,32,30,32,41,54,68,82,93,92,86,68,57,44,38,41,49,57,62,60,59,57,55,55,60,67,72,82,91,100,107,115,124,128,126,120,116,108,99,87,73,58,49,34,33,32,34,39,44,47,49,58,67,78,86,91,89,76,63,50,41,31,29,36,46,53,55,57,55,51,45,40,39,40,43,42,52,60,62,60,56,50,42,39,40,45,54,64,66,62,56,50,46,45,48,49,44,37,34,39,52,74,102,132,155,163,160,141,120,96,79,68,60,56,55,50,49,47,45,43,42,41,40,47,54,62,68,73,74,69,62,59,55,50,48,50,50,48,46,43,44,47,49,50,51,51,50,47,49,52,55,58,59,59,59,61,63,63,61,57,52,50,50,59,69,81,86,85,76,59,44,30,30,32,38,46,50,49,47,41,39,36,34,34,37,41,44,49,51,56,60,59,53,44,37,28,25,22,20,21,25,29,33,41,44,47,48,46,41,35,31,27,25,23,23,24,26,27,26,26,25,22,20,19,21,27,32,35,37,38,35,29,26,27,29,35,39,43,43,40,33,28,25,24,25,26,27,27,26,25,24,25,25,27,30,34,35,35,33,31,25,22,24,25,27,33,40,46,53,56,53,49,47,43,38,34,35,35,35,33,29,25,23,24,22,22,25,26,29,39,49,60,71,80,78,68,55,41,30,23,26,30,36,41,41,38,35,30,31,34,39,46,50,52,52,40,37,31,25,21,20,21,22,23,26,31,36,40,44,45,46,45,43,37,30,25,23,25,28,32,36,41,47,49,48,46,44,39,38,36,35,35,37,40,41,41,39,35,32,30,27,23,20,17,15,13,12,12,15,18,20,21,22,23,23,23,21,20,18,19,18,18,17,17,17,18,18,19,20,23,25,27,27,26,26,22,21,20,18,17,16,16,16,15,15,15,15,14,14,14,14,15,15,15,15,15,15,15,15,14,14,14,14,14,14,14,14,14,13,12,11,11,11,12,12,11,10,8,7,6,5,5,5,6,6,6,5,5,4,4,4,5,5,5,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 6,6,6,7,7,8,8,8,8,8,8,8,8,8,8,8,8,8,9,9,9,10,10,10,12,13,13,14,15,16,16,17,19,19,19,20,20,21,21,21,21,21,20,20,20,20,19,19,21,23,26,30,32,33,34,34,33,34,33,31,27,24,23,23,25,27,30,33,34,37,41,44,42,41,38,35,34,38,44,49,57,62,65,62,54,45,40,38,35,39,43,44,41,36,32,30,27,27,27,27,28,29,30,30,31,39,50,64,82,96,99,95,77,64,47,36,35,42,49,54,61,61,61,59,59,63,70,75,86,96,106,114,122,130,133,132,124,119,108,95,79,64,50,42,31,31,31,34,37,39,40,39,51,62,76,87,95,94,82,68,51,41,29,27,33,42,46,48,50,50,49,46,42,39,40,41,37,45,52,52,51,50,47,42,40,43,51,61,68,69,65,60,52,44,39,41,43,39,37,38,44,59,82,108,137,157,161,155,135,115,91,76,66,57,52,51,45,44,43,42,42,43,45,46,55,65,75,81,86,86,78,68,57,51,45,44,46,48,47,44,41,41,41,42,44,45,47,48,50,53,57,62,66,68,70,70,69,70,70,68,63,59,57,56,65,74,83,86,84,74,57,42,29,30,35,43,52,56,55,52,43,40,36,33,33,35,38,41,43,45,50,55,56,51,43,37,28,26,23,22,23,27,32,36,41,42,43,42,39,34,29,26,24,22,21,22,24,26,25,25,24,24,22,20,19,22,28,32,37,39,41,38,33,30,30,31,34,38,41,42,38,33,29,27,22,23,24,25,25,24,22,21,22,21,22,25,29,31,31,30,28,24,23,26,27,27,30,36,38,44,47,45,43,43,42,38,36,37,39,38,35,30,26,23,25,23,24,26,26,26,33,42,52,66,77,78,70,58,44,33,24,25,30,35,40,41,39,36,32,32,34,38,43,47,47,47,39,35,29,23,20,20,22,24,25,29,36,43,48,51,52,53,46,43,36,28,23,23,27,30,34,37,40,43,43,40,37,35,31,30,28,29,31,34,38,41,42,39,35,32,30,28,24,21,20,19,17,16,15,16,17,18,17,18,19,20,19,18,17,16,17,17,17,17,18,19,21,22,23,25,28,30,31,31,29,29,25,24,22,21,19,19,18,18,16,16,16,15,15,14,14,14,15,15,15,15,15,15,15,15,14,14,14,14,14,14,14,14,13,13,12,11,10,10,11,11,11,10,9,7,6,5,5,5,6,6,6,5,5,4,4,4,5,5,5,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 6,6,6,7,7,8,8,8,8,8,8,8,8,8,8,8,8,8,8,9,9,9,10,10,13,13,14,15,16,17,17,18,21,21,22,22,22,23,23,23,22,22,21,20,20,19,18,18,20,22,25,28,30,32,32,32,31,32,32,30,26,23,21,21,24,26,29,31,34,38,43,47,45,43,40,35,33,36,41,46,56,61,65,64,58,50,45,43,38,44,51,55,54,50,45,42,31,30,28,26,26,27,29,31,31,38,48,62,81,98,103,100,84,70,50,36,32,37,43,47,60,61,62,61,61,64,70,76,80,91,103,110,118,125,127,125,123,116,104,89,72,56,43,35,30,30,31,33,35,36,34,32,47,59,74,87,96,97,85,72,52,41,29,25,31,38,42,42,45,46,47,45,42,39,39,39,38,44,48,47,46,47,46,43,46,51,61,70,75,74,68,63,56,45,38,39,41,39,39,43,47,63,86,110,137,155,156,148,128,108,85,71,63,55,49,47,44,43,43,43,45,48,50,52,60,72,84,90,94,94,85,72,55,49,42,41,44,46,45,43,41,40,39,38,39,42,45,47,56,59,63,69,73,76,78,79,73,74,74,72,67,63,61,60,68,77,84,85,82,73,56,42,30,32,39,49,58,63,61,57,44,41,36,32,32,34,37,40,39,42,47,52,53,50,43,37,29,27,24,23,25,30,35,39,40,40,40,38,35,31,27,24,22,21,20,22,24,26,25,24,23,23,22,20,20,23,29,33,41,44,47,45,40,36,35,36,34,37,40,41,38,33,30,29,21,23,25,26,26,25,23,22,21,20,21,23,27,30,30,29,26,23,24,28,29,28,30,34,30,36,40,38,37,39,39,37,37,39,41,40,36,30,26,23,25,24,25,27,25,24,29,37,49,63,76,78,71,60,46,35,24,25,29,35,40,41,40,38,31,31,32,35,39,42,42,41,38,34,28,23,21,21,24,26,28,33,41,49,55,58,59,59,49,45,38,30,25,25,29,34,37,38,40,40,39,35,32,29,23,23,22,23,26,31,36,39,43,40,36,33,31,28,25,22,25,24,23,21,20,19,19,19,15,16,17,18,18,17,16,15,16,16,16,17,19,21,23,24,26,28,30,33,33,33,31,30,27,26,24,22,21,20,20,20,16,16,16,15,15,14,14,14,14,14,14,14,14,14,14,14,13,13,13,13,13,13,13,13,13,12,11,10,10,10,10,11,11,10,9,7,5,5,4,4,6,6,6,5,5,4,4,4,5,5,5,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 8,8,8,8,8,8,8,8,9,9,9,10,10,9,8,8,9,9,9,9,9,9,9,9,12,12,13,14,16,17,18,18,20,21,23,25,26,26,25,24,25,24,23,23,24,23,21,19,20,20,20,20,21,22,23,24,26,27,27,27,26,23,20,18,23,25,28,33,38,42,45,47,47,46,42,35,30,30,36,41,54,65,73,71,64,58,52,47,50,53,59,68,74,73,66,60,48,39,28,24,26,30,32,31,35,38,45,58,74,90,102,109,96,83,65,50,41,38,43,49,56,57,59,61,63,64,63,63,72,77,86,96,104,109,111,112,109,102,91,75,58,43,33,27,27,35,40,37,33,32,30,27,41,52,70,88,98,96,85,75,55,43,32,30,32,33,34,37,33,35,37,38,39,40,43,46,45,46,46,45,44,44,46,48,47,55,62,66,71,76,75,71,59,54,47,43,43,45,47,47,58,68,87,109,126,132,130,126,106,94,77,63,54,49,45,43,47,43,44,51,56,57,62,69,81,86,95,105,109,102,86,73,57,44,36,41,49,49,47,46,44,43,43,42,43,46,51,55,61,64,69,74,77,78,78,77,78,77,75,73,70,68,66,65,73,77,81,84,79,65,49,37,28,33,42,54,64,66,62,57,44,38,31,28,30,31,31,30,36,39,44,50,53,53,48,44,38,35,30,27,26,29,32,35,38,38,35,31,26,22,21,22,23,24,24,24,23,22,21,20,18,19,19,19,21,26,33,38,49,54,57,56,54,52,46,39,42,39,38,39,36,29,25,26,25,26,27,27,26,26,28,31,25,26,28,30,31,31,31,30,26,26,27,27,27,28,28,28,30,30,29,30,31,32,34,36,39,41,42,40,36,31,27,25,22,26,28,26,23,23,28,33,43,54,65,70,69,64,52,41,29,26,26,32,41,44,40,34,35,34,32,32,34,36,36,35,36,33,30,27,27,29,32,35,38,45,53,59,67,73,71,66,56,47,36,27,25,28,32,35,44,43,41,38,33,29,26,24,19,20,22,26,29,34,37,39,42,40,37,33,31,31,31,32,32,32,33,32,29,26,22,20,21,19,17,15,14,14,15,16,16,16,16,17,19,22,25,27,34,33,33,32,31,30,30,29,25,24,24,23,22,21,20,19,16,16,15,14,14,13,12,12,10,10,10,11,11,12,12,12,14,14,14,13,13,12,12,12,12,12,11,10,10,9,8,8,9,9,8,7,7,6,5,5,5,5,5,5,5,5,5,5,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 8,8,8,8,8,8,8,8,8,9,9,10,10,9,9,8,9,9,9,9,9,9,9,9,11,12,13,14,15,16,17,18,20,22,24,26,27,28,27,27,27,26,24,24,25,24,22,19,19,18,18,18,19,20,21,21,24,25,26,26,25,23,20,18,23,25,28,32,37,41,44,46,46,45,40,33,27,28,34,39,52,65,76,77,74,71,66,61,57,59,65,74,81,82,77,72,58,48,36,30,30,34,36,36,37,38,43,53,68,83,97,104,102,91,75,60,49,42,42,44,51,52,55,58,61,62,61,60,60,64,70,78,85,90,94,95,94,88,76,62,48,36,29,26,34,43,49,46,41,37,32,27,38,49,67,85,95,93,82,73,56,45,35,33,34,34,34,36,34,35,37,37,38,40,45,48,46,47,48,48,47,47,49,51,53,61,68,71,75,79,77,73,61,56,50,46,45,46,47,47,54,62,77,95,109,114,112,108,92,83,70,60,53,50,47,45,45,44,49,59,67,71,78,86,91,95,103,111,114,105,90,77,61,48,40,45,53,57,57,58,53,52,50,48,49,52,56,59,63,65,69,73,75,75,74,73,73,73,72,71,69,68,66,66,71,75,79,81,77,64,49,38,31,36,45,57,66,67,62,57,44,38,31,28,30,32,31,30,34,36,41,48,53,55,53,50,43,39,33,28,26,28,31,33,35,35,33,29,25,22,21,22,24,24,25,26,26,25,23,22,20,20,19,19,21,27,35,40,55,62,67,67,65,62,54,46,43,38,35,35,32,27,26,28,28,29,31,31,30,30,31,33,29,31,33,35,36,35,33,32,28,28,27,27,27,27,27,27,26,26,25,25,27,29,31,32,37,39,41,40,36,31,27,24,22,25,27,25,22,23,27,32,40,51,63,68,68,63,52,40,29,26,25,31,39,43,40,36,34,32,30,30,31,33,32,31,31,30,30,31,34,38,42,45,47,54,62,68,75,80,77,71,57,48,36,28,27,31,36,40,46,44,41,37,33,28,25,23,20,21,23,25,29,33,36,38,39,37,34,33,33,34,37,39,42,43,43,41,38,33,28,25,23,22,20,18,17,16,16,16,17,17,17,18,20,23,26,27,32,32,31,30,29,28,27,27,24,23,23,22,22,21,20,20,16,16,15,14,13,12,11,11,10,10,10,10,11,11,12,12,14,14,13,13,13,12,12,12,12,12,11,10,10,9,8,8,9,9,8,7,7,6,5,5,5,5,5,5,5,5,5,5,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 8,8,8,8,8,8,8,8,9,9,10,10,10,10,9,9,10,10,10,10,10,10,10,10,11,11,12,13,15,16,17,17,21,22,25,28,30,31,31,31,30,28,27,26,27,25,23,20,17,17,16,16,16,17,18,18,21,22,23,24,23,22,20,19,22,23,27,31,35,39,42,44,45,43,37,29,23,24,30,36,52,66,80,86,86,85,80,75,65,66,71,79,86,89,86,82,66,56,42,34,33,35,38,39,41,40,41,47,58,73,87,96,103,97,87,74,62,52,45,41,44,45,48,53,57,59,58,57,49,50,52,56,61,67,72,75,76,70,60,48,37,31,30,31,44,54,61,59,51,43,34,26,33,45,62,79,88,86,76,68,56,46,38,37,37,35,34,36,36,36,35,35,36,40,46,51,49,50,52,52,51,51,52,54,53,60,67,69,72,74,71,66,59,55,50,48,47,47,47,46,51,56,65,77,85,89,88,86,75,70,63,57,54,51,49,48,46,48,56,69,80,87,94,101,102,105,110,115,115,106,92,81,66,55,48,53,63,69,72,74,65,62,58,55,55,57,61,63,65,67,69,72,72,70,68,66,66,66,67,67,67,67,66,65,69,71,76,78,74,63,50,40,36,41,49,60,68,68,62,55,42,36,30,28,30,32,31,30,31,33,37,45,53,58,59,59,51,46,38,31,27,27,29,32,32,32,31,28,25,23,23,24,26,27,29,30,30,28,26,24,22,21,20,19,21,27,36,43,59,68,76,79,77,72,62,52,43,36,31,29,27,25,28,32,33,35,38,38,37,36,36,36,36,38,41,43,42,39,36,33,28,28,28,27,26,26,25,25,22,22,21,21,23,25,27,29,34,36,38,38,36,32,27,24,22,24,25,24,21,22,26,30,36,48,60,66,67,62,51,40,30,27,25,29,37,42,41,38,33,31,28,27,28,29,28,27,28,30,33,37,42,48,52,55,58,65,72,77,81,84,79,71,54,46,35,28,29,36,44,50,52,49,44,38,32,27,23,22,20,21,22,25,28,31,33,35,33,32,32,32,36,42,47,51,57,57,56,53,48,42,35,32,28,27,25,22,20,19,18,18,18,18,19,20,22,25,27,28,29,29,28,27,25,24,23,23,22,22,22,22,22,21,21,21,16,16,15,14,12,11,10,9,10,10,10,10,11,11,11,11,14,13,13,13,12,12,12,12,12,12,11,10,10,9,8,8,9,9,8,7,7,6,5,5,5,5,5,5,5,5,5,5,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 8,8,8,8,8,9,9,9,9,10,11,11,12,12,11,11,11,11,11,11,11,11,11,11,11,11,12,13,14,15,16,17,21,23,26,29,32,33,34,34,32,30,29,28,28,27,24,22,18,17,16,16,15,16,16,17,19,19,20,21,21,21,20,19,20,22,25,29,33,37,40,42,43,40,34,26,20,21,27,34,54,68,84,93,96,96,90,84,72,72,73,77,83,86,85,82,64,55,42,33,31,34,39,42,45,43,41,42,49,61,76,86,96,97,95,87,77,66,54,44,38,39,42,48,55,59,58,56,46,44,41,40,43,49,56,61,64,59,51,41,33,31,35,40,53,64,73,71,61,49,36,26,32,42,58,72,78,74,66,58,51,43,38,39,39,37,36,38,38,38,36,35,36,40,47,52,53,54,55,55,53,53,54,56,52,59,65,66,67,67,62,56,52,49,46,45,45,46,46,45,49,51,55,60,65,68,69,69,64,63,61,59,57,54,52,50,49,54,64,77,88,96,101,105,107,109,111,113,110,102,89,80,69,64,62,68,79,86,88,88,75,70,63,58,58,60,63,65,65,67,68,69,67,64,60,58,57,58,60,62,63,64,64,63,65,67,71,74,71,63,52,44,42,45,52,61,68,66,59,52,39,34,29,27,29,31,31,29,28,30,34,42,52,60,65,67,60,53,44,34,29,27,29,31,29,30,30,28,26,25,27,28,31,33,34,35,34,31,28,26,25,23,21,19,20,27,37,44,58,69,79,83,82,76,64,53,42,34,27,25,24,24,30,37,40,43,46,46,44,42,40,40,41,43,46,48,46,42,37,33,27,27,26,26,25,24,24,23,22,22,22,23,24,26,28,30,33,34,35,36,36,32,27,23,22,23,23,22,21,21,25,28,34,45,57,63,64,61,51,40,31,27,25,28,34,40,41,40,35,32,28,26,26,27,26,26,31,34,38,44,50,54,58,60,66,72,77,79,80,79,71,62,47,40,32,29,34,44,54,61,61,57,49,41,33,26,22,20,20,20,21,23,25,27,29,31,29,29,31,35,42,51,60,65,71,70,68,63,56,48,41,36,32,31,29,27,25,23,22,21,20,21,21,23,24,26,27,28,26,25,25,23,22,21,20,20,21,21,21,21,21,22,22,22,17,16,15,13,12,10,9,9,10,10,10,10,10,11,11,11,13,13,13,12,12,12,11,11,11,11,11,10,10,9,9,9,8,8,8,7,7,6,6,6,5,5,5,5,5,5,5,5,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 8,8,9,9,10,10,11,11,11,11,12,13,14,14,14,13,13,13,13,13,13,13,13,13,11,11,12,13,15,16,17,17,21,23,26,30,33,34,35,35,32,31,30,29,30,29,26,23,20,19,18,17,16,16,16,17,17,17,18,18,19,19,18,18,19,20,23,27,31,35,38,39,40,38,32,25,19,19,26,32,53,67,85,97,104,106,102,95,81,77,73,72,75,76,75,73,57,49,38,30,29,34,41,46,48,46,43,41,43,53,66,76,88,96,100,96,88,77,61,47,37,36,38,46,55,61,62,60,49,44,37,32,33,38,46,51,57,55,49,40,33,33,40,47,61,73,82,80,69,56,41,29,33,41,53,62,65,60,53,48,44,39,36,39,40,38,40,43,42,42,41,39,39,42,46,50,55,56,56,54,53,53,55,57,58,65,69,69,67,65,58,51,43,41,39,39,41,43,43,43,44,45,45,46,49,52,56,59,61,62,63,63,60,56,52,50,50,58,70,82,93,101,104,104,105,106,106,105,102,94,85,79,74,75,80,89,99,104,102,97,82,75,65,59,59,61,63,64,63,64,65,64,62,57,53,50,48,50,53,56,58,59,59,58,59,61,65,68,68,63,55,49,45,47,52,59,63,61,53,46,35,31,26,26,28,30,29,27,27,28,32,39,49,59,65,68,63,57,47,37,31,29,30,31,29,30,31,30,28,29,31,33,38,39,39,39,38,35,32,30,30,28,24,21,21,27,35,42,55,66,78,82,82,76,64,52,41,33,25,23,24,26,33,42,47,49,52,51,48,44,42,41,42,44,47,48,46,41,35,31,24,24,24,24,24,24,24,24,26,27,29,31,33,34,35,35,34,33,33,34,35,33,28,24,23,23,22,21,21,21,24,26,32,42,53,58,60,57,49,40,30,27,25,27,33,38,41,41,37,34,29,27,27,27,27,27,32,35,41,47,53,58,62,63,71,75,77,76,73,69,60,49,38,34,30,32,41,53,63,70,69,64,54,43,34,26,22,20,21,21,21,21,23,24,26,27,28,29,33,40,50,61,71,77,83,81,76,70,61,52,45,40,35,35,33,31,29,27,25,24,23,23,24,25,25,26,26,26,23,22,22,21,20,20,19,19,20,20,20,21,21,21,21,21,16,16,15,14,12,11,10,10,12,12,11,11,11,11,11,11,13,13,12,12,12,11,11,11,11,11,10,10,10,10,9,9,8,8,7,7,7,7,6,6,5,5,5,5,5,5,5,5,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 9,10,10,11,12,12,13,13,13,14,15,16,17,17,17,17,15,15,15,15,15,15,15,15,12,12,13,15,16,17,18,18,20,22,25,29,31,33,34,34,32,30,29,30,30,30,28,25,22,21,19,18,17,16,16,16,16,16,16,16,16,16,16,17,17,19,22,25,29,32,35,37,37,36,32,26,21,21,26,32,47,62,81,96,108,114,111,105,88,81,72,66,65,64,63,61,49,43,35,30,30,35,43,49,50,49,47,43,43,48,59,68,83,95,104,102,96,86,68,51,40,38,38,46,57,66,69,68,56,49,38,30,28,33,41,46,54,54,50,43,35,34,40,46,64,76,84,82,72,59,45,34,34,40,48,53,52,48,44,41,41,37,36,38,40,39,42,47,50,51,51,49,47,46,47,49,54,54,52,50,50,52,57,60,64,70,74,72,69,65,56,47,39,37,34,34,37,40,41,42,39,39,37,36,36,40,46,51,60,63,66,65,61,55,51,48,50,61,74,85,94,101,102,98,97,97,96,94,90,85,80,76,77,84,94,103,112,115,109,100,84,75,63,56,56,59,61,61,59,59,60,59,56,52,47,44,41,43,47,50,52,52,52,51,51,53,57,61,63,61,56,52,47,47,49,53,56,53,46,40,31,27,23,23,26,28,27,25,25,25,28,35,44,52,58,60,59,54,46,38,32,29,29,30,29,30,31,30,30,30,32,35,42,42,42,41,41,40,39,38,38,35,31,26,25,28,34,39,52,62,73,77,77,72,61,51,39,32,26,25,27,30,37,45,52,53,53,51,46,42,39,39,40,41,42,42,40,35,30,27,22,23,24,25,26,27,28,29,33,36,40,44,46,46,44,43,37,34,32,32,33,33,29,25,24,23,22,21,21,22,24,25,31,39,47,51,52,51,45,38,29,27,26,28,32,37,40,41,39,35,31,28,28,29,30,30,32,35,40,47,53,59,63,65,71,74,73,69,64,59,50,40,31,31,33,39,50,61,70,74,72,65,55,44,34,28,24,23,23,23,22,22,23,23,24,25,30,33,39,48,59,71,81,87,91,87,80,71,61,53,46,43,37,36,36,35,33,30,28,27,25,26,26,26,25,24,23,22,20,20,20,20,20,20,20,20,21,21,21,20,20,20,20,20,16,16,15,15,14,13,13,12,14,13,13,13,13,12,12,12,12,12,12,12,11,11,11,10,10,10,10,10,10,10,10,10,7,7,7,7,7,7,7,7,5,5,5,5,5,5,5,5,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 11,11,12,13,14,14,15,15,15,16,17,18,19,19,19,19,18,18,18,18,18,18,18,18,13,14,15,16,17,18,19,19,20,21,24,27,30,31,31,31,30,29,28,29,31,31,29,27,22,21,19,18,16,16,15,15,16,15,15,14,14,14,14,15,16,18,20,24,27,31,33,35,34,34,33,28,23,23,28,32,42,56,74,90,103,111,109,103,89,79,66,57,53,52,50,48,41,38,32,28,28,33,41,47,51,52,51,48,45,47,55,62,75,91,104,105,102,96,79,61,45,41,40,47,61,72,77,76,65,56,44,34,30,33,41,46,54,56,55,48,39,35,38,43,59,69,77,74,65,54,42,33,32,37,42,44,42,40,38,38,43,39,37,39,40,40,44,50,58,61,63,62,58,53,49,48,48,48,46,45,46,52,60,66,74,80,83,80,75,69,59,50,43,39,35,33,35,38,40,41,39,38,35,32,31,34,41,47,58,62,65,64,58,52,47,45,52,63,75,83,89,93,89,82,83,83,82,80,76,73,71,71,75,85,96,104,111,113,105,94,78,68,55,47,47,50,53,53,54,54,55,55,52,47,43,40,37,39,43,46,47,46,45,44,42,44,48,53,58,58,55,53,47,46,45,46,47,45,39,34,27,24,21,21,25,27,25,23,22,22,24,29,37,43,47,49,52,48,42,36,31,29,28,27,28,29,30,30,29,30,32,34,42,41,41,42,43,45,47,48,46,44,39,34,30,30,34,38,47,56,65,68,68,65,57,47,37,32,28,29,31,34,40,48,53,53,51,46,40,36,33,33,35,35,36,35,33,29,25,23,22,23,25,27,30,33,35,36,39,44,51,56,58,57,53,50,42,37,31,30,32,33,30,27,26,24,22,22,22,23,24,25,28,35,41,42,43,44,40,34,27,26,27,29,33,36,39,40,40,36,31,28,29,31,32,32,35,37,40,45,50,54,58,60,65,66,64,58,54,50,42,33,31,33,39,48,59,68,73,75,67,61,51,41,33,29,28,28,27,27,26,25,25,25,26,26,33,37,45,56,68,79,87,92,90,85,75,64,54,46,41,39,37,37,37,37,35,33,31,30,27,28,27,27,25,22,20,18,18,19,19,20,21,22,22,23,22,22,21,20,20,19,19,18,16,16,15,15,15,15,15,15,15,15,15,14,14,14,13,13,12,12,12,11,11,11,10,10,10,10,10,10,10,10,10,10,7,7,7,7,7,7,7,7,5,5,5,5,5,5,5,5,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 12,12,13,14,15,16,16,17,16,17,18,20,21,21,21,21,19,19,19,19,19,19,19,19,14,15,15,17,18,19,20,20,19,21,24,26,28,29,29,29,28,28,27,29,31,31,30,28,22,21,19,17,15,14,14,14,16,15,14,13,13,13,13,13,16,17,20,23,27,30,32,34,32,34,33,30,26,25,29,33,39,52,69,83,95,102,100,93,86,75,60,49,44,42,41,39,36,33,29,25,25,30,38,43,51,54,54,51,47,47,53,59,67,85,101,105,106,104,90,72,49,44,42,49,63,76,82,82,72,63,50,38,34,36,43,48,57,60,60,53,43,36,38,41,51,60,67,64,56,47,36,28,30,34,38,39,37,36,37,39,46,42,40,41,40,40,45,52,64,68,71,70,65,58,51,48,43,42,41,41,44,52,63,71,87,92,95,92,86,79,68,58,49,44,38,35,35,38,40,41,41,40,37,33,30,33,40,47,56,60,63,62,56,49,44,43,54,65,76,79,81,82,75,65,71,71,70,68,65,64,64,65,71,81,92,98,104,106,97,86,70,59,46,38,38,42,44,45,50,51,52,52,49,45,41,38,35,37,40,43,44,43,41,39,36,38,42,48,53,55,54,52,47,44,42,42,42,40,35,30,25,22,19,20,24,26,24,22,20,20,21,25,31,37,39,40,45,43,39,34,30,27,26,25,27,28,29,29,28,28,31,33,40,40,40,41,45,49,53,56,52,50,45,39,34,33,35,37,42,50,57,60,60,58,51,43,36,32,29,32,34,36,42,49,52,51,48,42,35,30,29,29,31,31,31,30,27,24,21,20,22,23,26,29,33,37,39,41,43,48,57,63,66,63,58,54,45,38,31,29,31,33,31,28,27,25,23,22,23,24,25,24,27,32,36,37,37,39,36,31,26,26,27,30,33,36,39,40,39,35,30,28,29,31,33,33,42,42,42,44,46,48,50,52,57,58,55,49,46,43,36,28,33,37,44,55,65,72,74,74,62,56,47,38,32,30,30,31,31,30,29,28,27,27,27,27,36,41,50,61,73,83,90,94,85,79,68,56,46,39,35,33,36,37,37,37,36,34,32,31,29,29,28,27,24,21,18,16,18,18,19,20,22,23,24,25,23,22,21,20,19,18,18,17,15,15,16,16,16,17,17,17,17,16,16,16,15,14,14,14,12,12,12,11,11,10,10,10,10,10,10,10,10,10,10,10,7,7,7,7,7,7,7,7,5,5,5,5,5,5,5,5,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 9,10,12,14,15,17,17,17,16,17,19,21,24,25,26,26,23,22,22,23,25,25,24,22,23,21,19,18,19,20,19,18,21,20,20,22,25,28,29,29,27,27,27,26,26,26,25,25,24,23,21,18,16,15,14,14,13,13,13,13,13,13,13,13,18,20,22,25,29,32,34,35,35,34,34,33,33,32,31,31,41,47,57,68,78,84,87,89,73,67,58,48,41,37,35,35,33,28,26,28,30,31,36,42,52,54,56,56,55,54,55,56,74,85,97,107,112,109,95,81,62,51,45,52,66,77,86,92,87,74,59,48,39,35,39,46,60,64,67,62,48,36,31,33,39,41,47,51,46,38,34,36,33,35,37,35,31,30,33,36,41,46,49,46,41,41,47,54,64,71,76,75,72,67,57,48,43,37,34,36,43,53,70,84,97,108,116,112,101,90,79,71,66,60,52,45,41,39,37,36,40,39,36,33,33,36,43,48,56,59,60,55,47,42,43,46,56,67,79,81,73,63,57,56,52,55,61,66,66,62,59,60,67,72,79,85,88,84,77,70,49,44,37,31,30,34,40,45,48,47,45,44,44,42,39,37,36,36,37,40,43,44,43,41,37,38,41,46,52,55,56,55,48,43,38,34,32,30,29,27,24,24,23,23,23,24,25,25,24,24,23,24,25,27,30,31,35,32,29,28,28,28,27,25,27,26,25,23,23,25,29,32,34,37,42,45,46,50,56,61,57,54,47,39,32,29,31,33,36,42,48,52,51,48,45,43,40,38,36,35,36,39,43,45,44,41,36,31,27,25,24,24,28,28,27,24,21,19,19,20,25,30,37,41,42,40,39,39,44,47,55,63,69,67,59,53,41,36,31,29,31,33,33,32,28,28,28,28,27,25,24,23,23,24,27,29,31,31,31,30,29,29,30,31,33,34,35,36,31,31,29,26,25,28,33,37,46,46,45,42,40,39,41,43,49,48,45,41,37,35,36,38,40,48,58,65,67,65,62,60,47,44,41,38,37,38,40,42,39,35,32,32,31,28,29,33,44,48,54,62,70,77,81,84,75,67,54,43,36,33,31,30,34,36,38,40,39,37,34,32,29,27,25,23,21,20,19,19,18,20,22,25,26,27,27,26,27,26,23,21,18,16,15,15,16,17,18,19,19,19,19,18,15,15,14,14,13,12,11,11,10,10,10,10,10,10,10,10,9,9,9,10,10,11,11,11,9,9,9,9,9,9,9,9,7,7,7,6,6,5,5,5,6,6,6,5,5,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 10,11,13,15,16,17,18,18,17,18,21,23,25,26,27,28,26,25,25,26,28,28,27,25,25,23,20,20,21,21,20,19,21,19,19,21,24,27,28,27,26,26,26,25,25,25,25,25,23,22,20,18,16,15,15,15,14,14,14,14,14,14,14,14,19,21,23,26,29,32,34,35,35,35,35,34,33,32,32,31,35,39,47,56,63,69,72,73,63,60,53,46,41,38,37,37,35,30,27,29,30,31,36,42,51,53,57,58,59,59,60,61,73,84,97,107,113,110,97,83,63,52,46,53,67,79,88,95,92,80,64,52,42,38,42,49,61,66,71,67,55,41,35,34,34,35,40,44,41,35,33,36,36,38,38,36,32,30,32,35,43,48,52,50,45,45,50,55,68,75,80,80,77,73,64,55,48,41,37,39,46,59,77,93,108,118,125,120,109,99,90,83,75,69,61,52,46,41,38,36,41,40,39,37,37,39,45,49,57,59,59,53,44,40,42,45,61,71,80,79,67,53,45,42,47,53,62,69,70,66,62,61,61,63,66,70,71,68,61,56,42,39,33,29,29,33,39,43,49,47,45,44,43,41,38,36,37,37,38,41,45,47,46,45,41,42,44,48,52,55,56,55,46,42,35,31,29,28,26,25,25,25,24,24,24,25,25,25,25,24,24,24,24,25,27,28,30,28,27,28,30,31,29,28,25,24,23,22,22,24,28,31,33,36,40,42,44,48,54,59,56,53,47,39,32,28,29,30,34,39,44,47,47,45,43,42,39,38,36,36,37,38,41,42,39,37,32,27,24,22,21,21,27,27,26,23,20,19,21,23,32,37,43,47,46,44,41,40,42,45,52,60,64,62,55,49,37,34,30,30,32,33,33,31,28,28,27,26,25,24,23,22,21,22,24,26,28,29,30,30,30,30,30,31,31,32,33,33,30,29,27,25,25,29,35,40,48,49,47,44,40,37,36,37,42,41,40,37,35,36,39,42,54,60,67,70,67,61,55,52,40,39,38,38,39,40,42,43,41,36,32,31,30,27,29,34,40,45,54,63,69,73,74,73,65,57,46,37,32,29,28,28,33,35,37,38,38,35,32,30,27,26,25,23,21,20,20,20,19,21,23,26,27,27,27,26,25,24,22,19,17,16,15,14,17,17,18,19,19,19,19,19,15,15,14,14,13,12,12,11,10,10,10,10,10,10,10,10,9,9,9,10,10,11,11,11,9,9,9,9,9,9,9,9,7,7,7,6,6,6,5,5,6,6,6,5,5,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 10,12,13,15,17,18,19,19,19,21,23,25,27,29,29,30,29,28,28,30,32,32,31,29,27,25,23,22,23,23,22,20,20,18,17,19,22,24,25,25,24,24,24,24,24,24,24,25,21,20,19,18,17,17,17,17,17,17,17,17,17,17,17,17,21,22,24,26,29,31,33,34,36,36,35,34,34,33,32,32,31,33,37,42,47,51,53,54,50,49,47,45,44,42,41,40,38,32,29,30,31,32,36,42,49,53,58,62,63,63,65,66,72,82,95,105,112,111,99,86,65,55,49,55,68,81,92,101,99,87,71,56,45,39,43,51,63,71,79,77,66,53,43,38,30,29,32,35,35,32,34,39,42,44,43,39,32,29,30,32,43,49,54,54,51,50,53,58,70,77,83,83,82,79,72,64,56,48,43,44,52,67,88,106,121,129,134,127,115,106,98,93,86,81,72,62,52,44,39,36,40,42,43,44,44,46,49,52,61,61,59,51,42,38,41,45,64,73,80,76,62,45,35,31,45,55,68,77,79,75,69,65,58,56,54,53,51,49,44,41,36,34,32,31,33,37,41,45,50,47,44,42,41,39,36,34,36,36,38,41,47,50,52,51,49,48,48,50,54,56,56,55,48,42,35,30,28,28,27,27,26,26,26,26,26,26,26,26,27,27,26,25,25,24,24,24,24,24,25,28,32,33,32,30,23,22,20,20,21,25,28,31,33,35,37,38,41,45,51,55,54,52,46,39,31,27,26,26,31,34,39,41,40,40,39,40,36,36,36,36,36,37,37,37,33,31,27,23,20,18,18,19,26,25,23,21,19,20,24,27,38,43,48,50,48,44,40,38,38,41,47,52,55,53,47,42,31,30,30,31,33,34,33,31,29,28,26,24,23,22,22,22,20,20,21,22,24,27,30,32,33,32,31,30,29,29,29,29,27,26,25,23,25,31,40,47,54,54,52,47,40,34,30,28,31,32,32,33,34,38,44,48,63,67,71,70,64,54,46,41,31,33,36,39,42,44,44,45,42,36,31,29,28,26,29,34,35,41,51,60,65,65,61,59,49,43,35,28,25,25,25,25,32,34,35,36,35,32,29,27,25,25,23,22,21,20,20,21,21,22,24,26,27,28,27,26,23,22,20,17,16,14,14,13,16,17,18,19,19,19,18,18,15,14,14,13,12,12,11,11,9,9,9,9,9,9,9,9,9,9,9,10,10,11,11,11,9,9,9,9,9,9,9,9,7,7,7,7,6,6,6,5,6,6,6,5,5,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 11,12,14,16,18,19,19,20,21,22,24,27,29,30,31,31,32,31,32,33,36,36,35,33,30,28,25,24,25,25,24,22,19,17,16,17,20,22,22,22,22,22,22,23,23,24,24,25,21,20,19,18,18,18,19,19,19,19,19,19,19,19,19,19,23,23,25,27,29,30,32,33,36,36,35,35,34,34,33,33,33,33,34,35,36,38,40,41,38,40,44,47,49,50,49,48,44,37,33,32,32,32,36,43,49,54,60,64,65,66,66,67,69,79,91,101,109,110,100,89,69,59,53,59,71,84,97,107,106,94,78,62,48,40,44,52,68,80,91,91,82,68,53,43,32,28,28,31,33,34,38,44,51,52,50,44,36,29,28,29,40,45,51,54,53,54,57,60,68,75,80,81,81,82,77,71,66,57,51,52,60,75,98,116,129,135,136,125,112,102,96,91,92,88,81,70,58,47,40,36,39,43,47,51,52,54,56,57,65,65,62,53,43,39,42,47,62,70,78,74,61,45,36,33,48,63,80,91,94,90,81,73,62,57,50,44,41,38,36,35,36,35,36,37,40,44,48,51,50,47,44,41,40,38,35,32,34,34,35,40,47,53,57,58,57,55,53,53,54,56,55,55,50,45,38,33,32,33,33,33,30,30,29,28,27,27,26,26,31,31,30,30,28,26,24,23,22,23,25,29,32,33,31,29,23,21,20,20,23,27,30,32,33,33,33,33,36,41,47,50,51,49,45,38,30,25,23,23,27,30,33,34,34,34,35,36,33,34,35,36,36,35,33,32,29,27,23,20,18,17,18,18,23,23,21,19,19,22,27,32,41,45,49,50,46,40,35,32,33,36,40,43,44,42,38,34,27,29,31,34,35,35,33,31,30,28,26,25,23,23,23,23,21,21,20,21,24,28,32,35,36,34,32,29,27,26,25,25,26,25,23,23,26,34,45,53,61,61,59,53,43,32,25,21,24,25,28,30,34,41,49,54,61,64,66,63,55,45,36,32,26,30,36,42,46,47,47,46,40,33,27,25,24,23,26,32,33,38,47,54,56,54,49,45,35,30,25,21,21,22,23,23,31,32,32,32,31,29,27,25,24,23,22,21,20,20,20,21,22,23,25,26,27,27,26,25,20,19,17,15,14,13,13,13,14,15,16,17,17,17,17,16,13,13,12,12,11,10,9,9,9,9,9,9,9,9,9,9,9,9,9,10,10,11,11,11,9,9,9,9,9,9,9,9,8,8,7,7,7,6,6,6,6,6,6,5,5,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 11,12,14,16,18,19,19,20,21,23,25,27,29,31,32,32,33,33,33,35,37,38,37,36,32,30,27,26,26,26,25,23,19,17,16,16,19,20,20,19,20,20,21,22,23,24,25,25,22,21,20,20,20,20,21,21,21,21,21,21,21,21,21,21,23,24,25,26,27,29,30,30,34,34,34,34,34,34,34,34,34,34,32,31,31,31,32,32,32,36,44,51,57,59,59,59,52,44,38,36,34,33,37,42,48,54,60,65,66,66,65,64,66,74,84,93,102,106,99,89,73,63,57,61,72,85,100,111,115,104,89,72,56,47,50,58,77,93,106,107,98,84,66,51,39,33,30,32,35,38,43,50,59,60,59,52,42,33,29,28,34,39,46,50,52,54,57,61,65,70,75,76,79,83,83,80,78,69,62,62,68,82,102,120,133,137,134,120,103,92,85,81,88,87,83,73,61,49,42,39,40,45,52,57,59,60,61,62,68,69,66,58,48,43,45,49,61,70,77,74,62,50,44,42,58,77,98,109,111,107,95,82,68,61,51,43,38,37,36,35,37,38,40,42,46,50,53,55,52,49,45,42,40,38,36,34,33,32,34,39,47,55,60,62,61,58,54,52,53,53,53,53,49,45,39,37,37,38,40,40,36,35,32,30,28,27,26,26,34,35,35,35,33,30,27,25,25,25,27,29,31,31,28,26,24,22,22,25,30,34,35,35,34,32,29,29,32,38,43,46,48,46,42,35,27,22,21,21,25,27,29,29,29,29,30,31,30,31,33,34,34,32,30,29,27,25,23,20,19,19,20,21,21,21,21,21,22,27,33,38,46,49,51,49,43,37,31,29,29,31,34,35,35,33,31,29,27,30,35,37,38,36,33,32,31,30,29,28,27,27,27,27,25,24,23,23,26,31,36,39,39,36,33,28,25,23,22,22,25,25,24,24,29,38,49,57,68,68,65,57,45,33,24,19,20,23,27,32,37,43,50,56,58,59,58,53,45,36,29,26,28,33,40,46,49,49,46,44,35,29,23,21,20,19,23,29,33,36,40,44,44,42,38,35,25,22,19,18,20,22,23,24,29,29,30,30,29,27,25,24,23,22,21,20,19,19,20,20,21,22,24,25,25,24,23,22,18,17,15,14,13,12,12,13,12,13,13,14,15,15,14,14,12,12,11,11,10,9,8,8,9,9,9,9,9,9,9,9,9,9,9,10,10,11,11,11,9,9,9,9,9,9,9,9,8,8,8,7,7,7,6,6,6,6,6,5,5,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 10,12,13,15,17,18,19,19,21,22,24,26,28,30,31,31,32,32,32,34,37,38,37,36,34,31,28,27,27,27,25,24,19,17,16,16,18,19,19,18,19,20,21,22,24,25,26,27,24,24,23,22,22,22,23,23,22,22,22,22,22,22,22,22,24,24,24,25,26,26,27,27,30,30,31,32,33,34,35,36,33,32,31,29,28,27,27,27,30,35,45,55,63,68,69,69,61,52,44,40,36,34,37,42,46,52,61,66,68,66,65,64,64,70,76,84,93,99,95,88,75,65,58,61,70,83,99,112,120,112,100,86,70,60,63,71,89,107,121,122,114,100,79,60,48,40,34,35,38,41,46,52,62,65,66,61,51,41,35,33,32,36,41,45,48,51,54,57,60,65,68,69,75,84,89,89,91,83,76,74,78,87,104,119,132,135,129,113,94,82,74,69,77,79,79,74,63,53,47,45,45,50,57,61,63,63,62,62,68,71,71,65,55,48,47,50,62,69,75,72,62,53,50,51,71,92,114,123,125,119,104,88,71,64,53,45,40,39,38,38,39,39,41,44,48,52,55,56,56,53,48,45,44,43,42,40,38,36,36,39,46,54,59,62,61,57,51,48,47,48,48,48,44,41,39,39,42,44,46,46,44,41,35,30,27,26,26,27,36,37,39,40,39,36,32,29,29,28,28,28,29,28,26,23,26,26,28,33,40,43,42,39,36,31,27,26,29,35,40,43,45,43,38,31,24,20,20,21,24,26,28,28,26,25,26,27,27,28,30,31,31,30,29,28,27,25,23,21,21,22,24,25,22,24,25,27,29,35,41,46,53,54,53,49,42,36,32,30,27,29,31,31,30,28,28,29,32,35,40,41,40,36,34,33,32,32,33,34,34,33,32,32,29,28,27,27,30,34,38,41,41,38,34,28,24,22,22,22,27,27,27,28,32,41,52,59,72,72,68,59,47,34,25,20,21,25,30,35,39,43,48,51,54,54,51,45,37,31,27,26,34,38,45,49,50,47,42,38,30,24,19,19,19,18,22,27,32,33,35,36,35,32,29,26,19,18,16,17,20,23,24,24,27,27,27,28,27,26,26,25,23,22,21,19,19,18,18,18,20,20,22,22,22,21,19,18,16,15,14,13,13,13,13,13,11,12,13,14,14,14,14,13,14,13,13,12,11,10,10,9,10,10,10,10,10,10,10,10,9,9,9,10,10,11,11,11,9,9,9,9,9,9,9,9,9,8,8,8,7,7,7,7,6,6,6,5,5,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 10,11,13,15,16,17,18,18,19,20,22,25,27,28,29,29,30,30,30,32,35,37,36,34,34,32,29,27,27,27,25,23,20,18,16,16,18,19,18,17,19,20,21,23,24,26,27,28,27,27,26,24,24,24,24,24,23,23,23,23,23,23,23,23,23,23,23,24,24,24,24,24,26,27,29,31,33,35,36,37,32,32,31,30,29,28,27,27,30,36,47,58,68,73,76,76,68,59,50,44,38,35,37,42,43,50,60,67,70,69,68,67,62,65,69,74,83,91,91,86,75,65,57,58,66,79,95,109,117,112,105,95,81,72,76,84,101,119,134,133,126,112,89,67,55,45,38,37,39,41,45,50,59,64,69,68,61,51,45,42,35,37,39,41,43,46,49,52,53,56,58,59,67,81,91,94,104,97,90,87,87,92,104,115,125,127,122,105,86,73,64,59,65,70,74,73,65,58,54,53,54,58,63,65,64,61,59,59,65,70,74,70,60,52,48,48,58,65,70,68,60,55,56,60,80,103,125,132,132,125,108,89,71,65,56,49,45,44,43,42,42,43,44,46,49,52,56,58,62,58,54,51,50,50,49,48,48,45,42,42,46,51,56,58,56,51,45,40,39,40,41,41,41,40,41,44,49,53,54,54,51,46,38,30,25,24,26,27,35,37,40,42,42,39,35,33,31,29,27,27,27,27,25,23,29,30,34,42,49,52,48,43,37,32,25,24,27,34,39,41,43,41,35,28,22,19,20,22,24,26,28,28,26,23,22,22,25,26,27,28,29,29,29,29,27,25,23,22,23,24,27,28,25,28,31,35,39,44,51,55,57,56,54,48,40,35,32,31,28,30,32,31,29,28,30,32,38,41,45,45,41,37,35,34,33,35,38,40,41,40,38,37,31,31,30,31,32,35,39,41,43,40,34,29,24,22,22,22,29,29,30,32,36,43,53,59,73,72,67,58,46,34,26,22,23,28,33,38,39,41,42,43,44,43,40,35,31,29,31,33,41,44,48,50,48,42,34,30,25,20,18,19,20,19,22,27,29,31,32,32,30,26,22,19,17,16,15,17,21,23,24,23,25,25,26,26,27,27,27,27,24,23,21,19,18,17,16,16,17,18,19,19,19,17,16,15,15,15,14,13,13,13,14,14,13,13,14,15,15,15,15,15,17,16,16,15,14,13,13,13,11,11,11,11,11,11,11,11,9,9,9,10,10,11,11,11,9,9,9,9,9,9,9,9,9,9,8,8,8,7,7,7,6,6,6,5,5,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 9,10,12,14,15,17,17,17,18,19,21,24,26,27,28,28,29,28,29,31,34,35,35,33,35,32,29,27,27,27,25,23,21,19,17,17,18,19,18,17,19,20,21,23,25,27,28,29,29,29,27,26,25,25,25,25,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,24,25,27,29,32,35,37,38,32,33,33,33,32,31,29,29,30,37,48,59,69,76,79,80,73,63,53,46,40,35,37,41,41,49,60,68,72,72,71,70,61,63,65,68,77,87,88,84,73,63,55,55,62,75,92,106,111,109,105,97,86,78,82,91,107,126,141,140,132,119,95,72,58,48,39,37,39,39,42,46,55,62,70,72,67,59,52,49,39,39,39,39,40,43,46,48,46,49,49,51,60,76,89,94,112,105,99,96,94,95,103,113,117,120,115,98,79,66,58,53,57,64,71,72,67,61,59,59,60,63,66,67,64,59,56,55,63,69,75,73,63,53,48,47,51,58,64,64,59,57,62,67,85,108,129,135,134,127,108,88,72,66,59,53,50,48,47,46,47,47,47,48,51,54,58,60,66,62,58,56,55,56,55,54,56,52,47,45,46,50,53,54,52,47,40,35,34,35,35,36,41,42,44,50,56,60,61,61,55,49,39,30,24,23,25,27,33,36,40,43,43,41,37,34,32,29,27,26,26,26,25,24,31,33,38,47,56,57,52,46,38,32,25,23,27,33,38,40,42,39,33,26,20,18,21,23,25,27,29,29,26,23,21,20,24,25,25,26,27,28,29,30,26,25,23,23,23,25,28,29,28,32,36,41,45,51,57,61,58,56,52,45,38,32,31,31,30,32,34,33,30,30,33,36,42,45,48,47,42,37,35,35,33,36,40,44,46,44,42,40,32,32,32,32,34,36,38,40,44,41,35,29,25,23,22,22,30,31,33,35,38,45,53,59,72,70,66,56,45,34,27,23,25,29,35,39,39,38,37,37,32,31,29,27,26,29,35,40,46,48,50,50,45,37,29,23,23,19,18,20,21,21,23,28,26,28,31,32,29,24,18,14,16,15,15,17,21,23,23,23,24,24,25,26,26,27,28,28,24,23,21,19,17,16,15,15,16,16,17,18,17,15,13,12,15,15,14,13,13,14,14,15,14,15,16,17,17,17,17,16,19,19,19,18,17,16,16,15,12,12,12,12,12,12,12,12,9,9,9,10,10,11,11,11,9,9,9,9,9,9,9,9,9,9,9,8,8,7,7,7,6,6,6,5,5,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 10,10,11,12,14,15,16,17,16,16,17,18,20,23,25,26,26,26,27,28,29,30,31,31,29,28,27,26,25,23,22,22,19,19,18,17,16,16,16,16,15,17,21,24,27,29,30,30,30,29,27,24,23,21,21,21,21,21,20,20,20,21,22,23,20,21,21,21,21,20,19,18,20,21,22,25,28,32,35,36,34,33,31,31,32,31,30,28,34,36,44,57,66,71,76,82,75,70,62,51,42,36,36,37,44,53,62,70,77,81,77,70,60,56,55,61,71,76,75,71,66,62,56,53,57,67,78,86,94,99,100,93,84,81,88,96,118,131,143,144,135,118,95,76,61,52,45,43,39,35,37,43,49,57,66,72,77,80,75,67,57,51,42,37,35,37,39,40,41,43,44,45,49,63,84,101,109,112,112,107,98,94,98,103,107,107,104,96,84,71,60,55,56,59,64,67,68,66,62,59,63,64,64,61,56,52,49,48,59,64,69,71,67,58,49,43,48,48,53,56,53,50,58,70,91,111,130,133,125,112,94,78,67,62,56,53,53,53,52,50,46,45,43,43,46,55,65,73,72,70,67,63,59,59,63,66,65,64,58,50,47,48,46,42,41,37,33,31,33,36,38,39,38,39,44,52,62,68,68,67,62,54,42,31,24,24,27,29,34,37,42,43,41,38,36,35,33,31,28,23,21,22,26,30,29,40,51,58,63,64,59,53,39,34,28,25,29,36,43,47,47,42,35,28,23,21,22,23,30,32,32,31,28,26,25,26,21,23,27,29,29,26,23,21,23,22,23,28,33,34,35,36,39,38,41,49,60,69,72,72,68,59,50,44,37,29,27,29,30,30,29,28,29,33,39,44,54,55,55,52,46,39,35,34,38,42,47,51,51,47,41,37,32,31,30,29,31,34,38,41,45,44,41,36,30,27,27,28,31,36,41,40,37,39,47,55,64,63,59,52,42,33,27,24,27,32,38,41,39,35,32,30,25,24,23,24,28,35,42,47,54,51,47,40,34,29,26,24,17,20,22,24,23,24,25,27,29,31,32,30,26,21,18,17,14,15,17,20,22,23,24,24,25,26,27,28,29,30,30,30,28,27,24,21,18,16,15,14,14,15,16,17,17,15,14,13,14,13,11,10,11,13,15,17,20,20,20,21,22,24,25,26,25,25,24,22,20,19,18,17,16,15,14,13,13,13,13,13,12,12,11,11,11,10,10,10,10,10,10,10,10,10,10,10,8,8,8,7,7,6,6,6,5,5,5,4,4,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 9,10,11,12,13,14,15,16,15,16,16,17,19,21,23,24,24,25,25,26,27,28,29,29,27,27,26,25,24,22,21,21,19,18,17,16,16,16,16,16,15,17,20,23,26,27,28,28,28,27,25,23,21,20,19,19,19,19,19,19,19,20,20,21,20,20,20,20,20,19,18,18,19,20,21,23,26,30,33,34,33,31,29,29,30,30,28,26,29,30,36,48,58,64,72,79,78,75,68,58,49,43,41,42,46,55,65,72,79,82,78,71,62,57,53,57,65,70,70,67,66,62,56,53,54,60,68,73,81,85,87,82,74,73,81,90,109,121,132,133,124,109,89,72,60,53,48,46,43,38,38,43,46,54,64,72,79,84,81,75,64,56,46,39,37,38,40,42,38,39,38,37,40,55,77,93,106,110,111,106,96,91,92,96,98,99,99,93,83,71,62,57,54,56,60,63,64,62,59,56,59,61,61,58,54,49,47,47,58,63,69,70,66,58,49,43,42,44,49,53,50,47,54,64,82,100,117,120,112,98,80,66,52,49,48,49,52,55,54,53,51,50,49,49,52,60,70,77,76,74,69,63,60,60,64,68,71,70,65,56,51,48,44,38,36,34,32,33,37,41,45,46,47,47,50,57,66,72,73,71,63,55,43,32,25,24,26,29,34,37,41,42,40,37,35,34,34,32,29,25,22,22,26,29,33,43,54,61,65,65,59,52,37,33,27,26,29,36,43,47,45,41,34,27,23,22,24,25,32,33,34,32,29,27,27,28,25,27,30,30,29,26,24,23,25,26,30,37,42,45,44,44,44,44,48,58,69,75,75,72,64,55,45,39,33,26,25,27,24,25,27,28,32,39,48,54,61,62,62,58,51,44,39,36,40,43,48,51,50,46,40,36,29,28,27,28,30,34,39,41,47,46,43,37,32,28,27,28,31,35,39,38,34,36,43,50,56,56,54,49,41,33,29,27,29,33,38,40,38,32,28,25,21,21,22,25,31,38,45,49,52,49,44,38,33,30,27,27,24,25,26,26,24,24,25,26,26,28,29,28,23,19,16,15,14,16,18,20,22,24,24,25,26,27,28,29,30,31,31,31,29,28,26,23,20,18,17,16,15,15,16,16,16,15,13,12,14,13,12,11,12,15,17,19,22,22,23,25,26,28,30,31,32,31,29,27,25,23,22,21,18,17,16,14,13,13,13,13,13,12,12,12,11,11,11,10,10,10,10,10,10,10,10,10,8,8,7,7,7,6,6,6,5,5,5,4,4,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 9,9,10,11,12,13,14,14,14,14,15,16,17,19,21,22,22,22,23,23,24,25,25,26,25,25,24,23,22,20,20,19,18,17,16,16,15,15,16,16,16,17,19,21,23,24,24,24,25,23,22,20,18,17,17,17,17,17,17,17,18,18,19,19,19,19,19,19,18,18,18,17,17,18,19,21,24,27,29,31,32,31,30,30,31,31,29,27,26,24,28,38,48,56,66,75,79,77,73,66,57,50,47,46,49,58,68,75,82,85,80,72,65,57,50,49,55,60,62,61,65,61,56,52,50,52,54,56,64,68,70,67,62,63,72,81,98,109,118,117,109,97,81,68,58,55,53,53,50,44,42,43,42,51,62,71,82,89,89,84,71,63,51,43,40,42,45,47,42,40,35,31,34,48,69,85,102,106,107,102,92,83,81,82,85,88,90,88,81,72,65,61,55,56,59,61,60,58,55,53,53,54,55,54,51,49,49,49,60,65,70,70,65,55,47,42,38,42,49,53,50,47,50,57,72,86,99,102,94,80,65,53,41,41,43,47,52,56,58,58,56,56,55,55,58,64,73,80,81,77,70,63,58,59,64,69,77,79,75,65,57,50,42,34,31,30,32,37,45,52,57,59,60,58,57,61,69,74,76,76,66,58,46,35,28,26,28,30,35,37,40,40,38,35,35,35,36,35,32,27,24,23,26,28,35,46,56,62,65,64,57,49,35,31,27,26,30,37,43,46,41,37,32,26,24,24,27,29,35,36,36,34,32,30,30,31,32,33,34,32,29,26,25,25,27,33,41,50,58,60,58,54,51,52,57,67,78,81,77,72,61,51,39,33,28,24,23,26,21,23,26,29,35,45,55,63,70,71,70,64,56,47,40,37,41,44,48,50,49,43,37,32,25,24,24,25,29,34,39,42,49,48,45,39,33,29,27,27,30,34,36,35,31,31,37,43,47,48,47,44,38,33,29,28,29,33,38,39,35,28,22,19,16,18,22,28,34,41,47,51,47,44,39,35,31,30,31,31,32,32,31,28,24,23,24,26,25,27,28,27,23,19,16,15,15,16,18,21,23,24,25,25,28,28,29,29,30,31,31,31,31,30,28,26,24,21,20,19,17,17,17,16,15,14,12,11,13,13,13,13,15,17,20,21,27,27,29,31,33,36,37,38,38,36,34,32,29,26,24,23,20,19,17,15,14,13,13,13,14,13,13,13,12,12,12,11,10,10,10,10,10,10,10,10,8,7,7,7,6,6,6,6,5,5,5,4,4,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 8,9,9,10,11,12,13,13,14,14,14,14,15,17,18,19,19,19,20,20,21,21,21,22,22,21,21,20,19,18,17,17,17,16,15,15,15,15,15,16,16,17,18,19,19,20,20,20,22,21,19,17,16,15,15,15,16,16,17,18,19,19,19,19,19,19,18,18,17,17,17,17,16,17,18,19,21,24,26,28,33,32,32,34,36,36,34,32,27,24,24,31,39,48,60,70,75,75,75,71,64,57,52,50,51,60,70,77,83,86,81,73,65,56,47,43,45,51,54,55,62,60,57,53,50,47,45,44,52,55,57,54,52,55,64,73,88,98,105,102,93,83,71,62,56,57,59,60,58,53,48,45,42,50,60,69,80,89,90,86,72,64,53,46,45,49,55,58,55,51,43,35,35,47,66,80,96,99,99,94,83,72,67,65,70,74,79,80,77,72,67,65,59,60,61,61,59,55,51,49,46,48,51,52,53,54,56,58,67,72,75,73,64,53,44,39,41,47,55,59,56,52,50,52,63,72,82,84,79,68,56,48,43,43,44,48,52,57,61,63,60,60,59,59,61,66,74,79,81,76,68,59,54,55,61,66,78,82,81,73,63,53,42,33,28,30,36,46,57,67,73,75,72,68,64,65,71,76,78,78,69,62,51,40,33,31,32,34,37,39,39,38,36,35,35,36,39,38,36,31,27,25,26,27,35,44,54,59,60,58,51,42,32,29,26,27,31,37,41,44,37,34,29,26,25,27,30,33,38,38,38,37,34,33,34,35,37,38,38,34,28,25,26,27,32,42,56,67,75,77,71,63,58,57,61,70,80,83,77,70,58,46,34,28,25,22,22,25,24,25,27,31,38,48,59,67,77,77,75,69,58,47,39,35,39,42,46,48,46,40,33,28,21,21,21,23,27,33,39,42,50,49,46,41,34,29,26,26,28,31,33,31,28,28,32,36,40,41,42,39,34,30,28,27,26,31,35,36,32,26,20,17,15,18,23,30,37,42,46,48,42,39,35,31,30,32,34,36,39,37,33,28,23,21,22,24,26,28,29,28,24,20,17,16,16,17,19,21,23,25,26,26,27,27,27,27,28,28,29,30,31,31,30,28,26,24,23,22,19,18,17,16,15,13,12,11,13,13,14,15,18,21,23,25,32,34,36,38,41,43,44,45,40,39,36,33,30,26,24,23,22,20,18,16,14,13,12,12,14,14,14,13,13,13,12,12,9,9,9,9,9,9,9,9,7,7,7,6,6,6,5,5,5,5,5,4,4,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 9,9,10,10,11,12,12,13,14,13,13,13,14,15,16,17,17,17,17,17,18,18,18,18,18,18,18,17,16,16,15,15,15,15,14,14,14,14,15,16,16,16,16,17,17,17,18,18,20,19,17,16,15,14,14,14,16,17,19,20,21,22,21,21,20,19,18,17,16,17,17,18,16,17,17,19,20,23,25,26,31,32,34,37,41,43,41,40,33,27,23,25,31,39,50,61,70,73,75,74,70,64,60,58,55,63,70,76,81,83,78,71,61,53,43,38,39,44,49,51,58,58,57,55,52,47,42,39,43,45,46,44,43,47,57,65,80,88,93,87,77,67,58,51,53,57,63,66,65,61,54,49,44,51,58,65,74,81,82,77,65,59,51,48,51,60,68,73,73,66,56,46,44,52,67,78,91,92,90,82,71,60,53,50,57,62,67,70,70,68,66,66,62,63,63,62,58,52,47,43,41,45,50,54,58,63,69,73,78,82,84,78,65,51,41,37,46,54,64,67,64,59,53,49,55,59,64,67,65,59,53,51,48,48,48,49,52,57,63,67,64,64,64,63,63,67,72,76,76,70,61,51,46,48,54,60,71,78,82,76,66,57,46,37,29,34,43,57,71,83,89,92,85,79,73,71,74,78,79,79,71,65,54,45,38,37,38,40,41,42,41,38,36,35,37,39,44,43,41,36,31,27,27,27,32,40,48,51,52,50,43,35,30,28,27,28,32,37,39,40,34,31,27,25,25,29,33,36,40,41,40,38,36,36,37,39,41,43,42,36,29,25,27,29,42,57,74,87,94,94,82,69,60,57,58,66,76,78,72,65,50,38,26,23,22,21,22,24,27,28,30,34,41,52,64,72,84,84,81,73,61,48,38,33,36,39,43,45,43,37,30,26,20,20,20,22,26,32,37,41,48,48,46,41,34,28,25,25,26,28,30,29,27,27,29,32,38,39,39,36,31,27,24,23,23,27,31,32,29,25,20,18,17,20,26,32,37,40,42,42,37,35,32,30,31,34,38,41,41,38,33,26,20,19,22,25,28,29,30,29,24,19,16,15,16,18,20,22,24,26,26,27,25,24,24,23,23,24,26,26,30,30,30,30,28,26,24,23,20,20,18,17,15,14,13,13,13,14,16,19,23,26,29,30,38,40,42,44,46,47,47,47,41,39,37,33,30,26,24,23,22,20,18,16,14,13,12,12,14,14,14,13,13,13,12,12,9,9,9,9,9,9,9,9,7,7,6,6,6,5,5,5,5,5,5,4,4,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 10,10,11,11,12,12,13,13,14,14,13,13,13,14,14,15,15,15,15,15,15,16,16,16,15,15,15,14,14,13,13,13,14,13,13,13,13,14,15,15,16,16,15,15,15,16,17,18,19,19,17,16,15,15,15,15,17,18,20,22,24,24,23,23,21,20,18,17,17,17,18,19,18,18,19,19,21,23,24,25,29,31,35,41,47,51,51,50,44,35,27,25,26,31,41,50,65,69,74,77,76,72,69,68,63,68,72,73,75,75,70,63,55,49,41,37,38,42,47,49,55,56,58,57,54,48,43,39,35,36,37,36,37,44,54,62,75,83,86,77,64,53,45,40,46,55,63,67,68,66,58,51,47,51,55,58,64,69,68,63,54,50,47,49,57,70,81,88,86,80,70,61,58,63,73,80,88,86,81,71,59,49,43,40,46,50,55,58,59,59,61,62,62,63,65,64,60,53,46,42,41,45,52,58,65,73,80,85,89,93,93,84,68,52,42,38,49,60,72,76,74,69,59,51,51,49,49,53,53,52,53,56,52,53,53,53,54,57,63,67,66,66,66,64,63,64,67,70,67,61,53,44,39,40,46,51,61,71,78,75,67,58,48,40,33,40,52,68,84,96,102,104,95,88,80,76,77,79,79,78,69,64,55,47,43,42,44,46,47,46,43,39,37,37,40,43,48,48,46,42,35,30,28,28,30,37,43,44,44,43,38,30,29,28,27,29,33,36,37,36,31,29,26,24,26,30,35,38,42,42,41,39,37,37,39,42,44,47,47,41,33,28,29,33,51,70,91,103,108,104,87,68,56,52,51,59,69,72,64,55,40,29,20,20,24,27,28,31,32,33,35,39,46,58,71,79,89,89,86,78,65,50,39,33,32,35,40,43,42,37,31,27,21,21,21,22,25,30,35,39,45,45,43,39,32,27,24,23,23,25,27,28,27,28,30,32,38,39,39,35,30,25,22,21,22,25,28,29,26,24,22,21,20,23,27,32,35,37,37,37,33,32,31,31,33,37,41,43,41,37,30,23,18,19,23,28,30,32,32,30,24,19,15,14,17,18,21,23,25,26,27,28,23,22,20,20,20,21,22,23,28,29,29,29,28,26,24,23,22,21,19,18,17,16,16,16,17,18,22,25,30,33,36,38,44,45,47,48,48,48,47,46,40,39,37,33,30,27,24,23,20,19,17,15,14,13,13,13,14,13,13,13,12,12,12,11,8,8,8,8,8,8,8,8,6,6,6,6,5,5,5,4,5,5,5,4,4,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 12,12,12,12,13,13,13,13,15,14,14,13,13,13,14,14,14,14,14,14,14,14,14,14,13,13,12,12,12,11,11,11,13,13,12,12,13,14,15,15,16,15,15,14,15,16,18,19,20,19,18,17,16,16,16,16,16,18,21,23,24,24,23,23,23,21,19,18,17,18,19,21,20,20,20,21,22,23,25,26,31,34,40,49,57,63,64,63,59,48,37,31,28,29,36,45,57,63,70,75,76,76,75,74,73,75,74,70,67,65,58,51,47,44,40,38,39,43,47,49,54,56,58,58,55,49,43,38,32,33,34,35,38,47,58,66,79,86,87,75,59,47,39,34,39,50,60,64,66,67,60,51,47,50,51,51,54,57,55,50,44,42,43,49,62,77,90,97,96,91,84,77,75,78,84,89,89,84,75,63,51,43,38,37,38,40,43,45,47,49,52,55,62,65,69,71,68,61,54,48,45,49,55,62,70,78,87,93,96,100,100,90,72,55,45,42,51,66,80,86,87,83,72,60,54,46,42,44,47,48,54,61,62,64,66,64,61,59,59,61,62,63,62,59,57,56,57,59,58,54,46,38,33,34,40,45,52,63,73,71,64,57,49,42,37,45,58,76,92,104,109,111,97,90,81,76,75,75,74,72,65,61,53,47,44,45,48,50,51,50,46,41,38,39,43,47,53,53,51,46,39,33,30,28,31,37,41,40,40,41,37,31,28,28,28,31,33,35,34,33,30,28,25,24,26,31,36,39,43,43,42,40,38,38,41,43,47,51,52,47,38,32,33,37,55,76,98,109,112,105,82,59,47,44,45,55,65,66,56,44,33,24,19,25,34,40,44,46,43,43,43,45,51,61,74,82,90,90,87,78,64,49,37,31,30,34,39,43,43,40,34,31,24,23,22,22,25,29,33,36,41,41,40,37,31,25,22,21,21,23,26,28,29,30,32,33,38,38,38,35,30,25,22,21,24,26,27,26,24,22,22,23,22,24,27,30,33,34,34,34,30,30,31,32,35,39,42,44,40,36,29,22,18,21,27,33,37,39,38,35,29,23,19,17,18,19,21,24,26,27,28,28,22,21,19,18,18,19,21,22,25,26,28,28,28,26,23,22,23,22,20,19,18,19,19,20,22,24,28,33,38,42,45,46,48,49,50,50,49,46,44,42,36,35,33,30,27,24,21,20,18,17,16,14,13,13,13,13,13,12,12,12,11,11,11,10,8,8,8,8,8,8,8,8,6,6,6,5,5,5,4,4,5,5,5,4,4,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 13,13,13,13,13,14,14,14,16,15,14,13,13,13,14,14,14,14,14,14,14,14,14,13,11,11,11,11,11,10,10,10,12,12,12,12,12,13,14,15,16,15,14,14,15,16,18,19,21,20,19,18,17,17,17,17,15,17,20,23,24,24,23,22,24,22,20,18,18,19,20,22,22,22,22,22,23,24,26,26,35,39,46,56,66,73,75,75,72,60,47,39,33,32,37,45,50,56,64,71,74,75,76,76,81,81,76,68,62,58,50,42,42,41,39,39,41,44,48,50,54,56,58,58,55,49,42,37,32,33,34,37,43,53,65,73,85,91,92,78,61,47,39,34,34,46,57,61,64,66,60,50,46,48,48,46,48,50,47,42,38,38,41,49,64,80,94,101,102,99,94,89,88,90,94,98,90,83,72,59,48,40,37,36,33,34,36,37,39,42,46,50,64,68,74,78,76,70,62,57,48,52,58,65,72,80,89,95,100,104,104,94,75,59,49,46,54,70,87,95,97,95,83,70,59,49,41,42,45,48,56,66,74,77,79,76,69,61,55,53,57,57,56,53,49,47,48,49,53,49,42,35,31,32,37,41,47,59,69,69,62,55,48,42,40,47,61,79,96,107,112,113,94,87,78,73,71,70,67,65,62,57,51,46,44,46,50,52,54,52,47,42,39,41,46,50,55,55,53,49,41,35,31,29,33,38,40,39,39,40,38,33,28,28,29,31,34,34,32,30,30,28,25,24,26,31,36,40,43,43,42,40,38,38,41,44,49,54,56,51,42,36,37,40,53,76,98,108,109,100,74,48,41,39,42,54,64,64,50,37,31,24,22,32,45,54,58,61,55,54,52,51,54,62,72,80,87,87,84,75,61,46,34,27,29,33,39,44,45,42,37,34,26,25,23,23,25,28,32,34,38,39,38,35,29,24,21,20,20,22,25,28,30,32,34,35,37,38,38,35,30,26,23,22,27,27,27,25,22,20,21,23,22,23,26,29,31,33,33,33,29,30,31,34,37,40,43,45,39,35,28,21,19,23,30,37,45,46,45,42,35,28,24,22,18,19,21,24,26,27,28,28,22,21,19,17,17,18,20,22,24,25,26,27,27,25,23,21,23,22,21,20,20,20,22,22,26,29,33,38,43,48,51,52,50,51,51,51,48,45,41,39,30,29,27,25,22,19,17,16,16,15,14,13,13,13,13,13,12,12,11,11,11,10,10,10,8,8,8,8,8,8,8,8,6,6,6,5,5,4,4,4,5,5,5,4,4,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 10,10,11,12,13,13,14,15,14,14,14,14,14,14,14,14,13,13,13,13,13,13,13,13,11,11,11,11,11,11,11,11,13,13,13,14,14,15,15,15,19,18,16,15,16,18,20,22,23,24,25,23,21,19,19,20,20,22,24,24,23,24,26,27,26,26,26,23,20,19,20,21,23,24,25,25,24,26,29,32,36,42,53,65,76,82,85,86,77,70,58,46,38,34,35,36,44,52,62,68,70,74,79,85,83,80,74,66,56,47,40,36,33,35,39,42,45,47,48,48,53,54,54,53,50,44,38,34,33,33,36,41,46,56,75,92,98,100,98,87,68,50,39,35,39,43,50,56,57,54,49,45,40,42,45,47,48,48,47,46,41,41,44,52,64,76,86,92,95,93,92,93,95,98,100,101,89,82,72,61,52,45,39,35,37,33,31,32,35,38,46,55,61,74,85,84,81,79,73,66,59,61,62,63,66,73,84,92,97,101,104,97,83,67,56,52,57,68,85,101,108,104,93,84,73,58,46,42,43,46,55,65,79,81,81,76,67,57,51,49,45,47,49,48,44,42,43,45,46,45,43,41,40,39,39,39,48,50,55,60,61,57,49,43,46,50,61,76,90,98,100,98,88,79,68,63,65,66,63,59,53,49,44,42,45,49,54,56,60,57,52,45,41,41,45,49,54,55,54,49,41,34,32,33,31,38,43,42,40,40,38,35,33,32,31,32,33,33,32,30,26,25,24,22,23,28,35,41,45,46,45,41,35,34,37,40,49,57,61,56,49,45,43,41,55,73,91,99,97,85,63,44,31,34,43,54,61,59,48,39,31,31,35,47,62,72,75,74,75,66,57,55,57,59,66,72,77,79,79,73,61,46,34,27,28,32,40,48,51,49,42,36,33,29,24,22,24,27,29,30,32,33,33,33,30,27,24,21,23,23,24,25,26,28,30,31,39,39,38,36,34,32,30,29,30,29,29,28,28,27,27,27,27,28,28,29,29,28,28,27,29,31,33,34,35,37,40,43,34,31,26,23,25,31,39,44,52,52,51,48,43,36,30,26,23,24,26,27,28,29,29,29,26,25,23,21,21,21,22,23,26,26,25,24,22,21,20,20,21,20,20,21,23,25,28,29,34,37,42,47,51,53,54,54,54,52,50,47,45,41,36,32,26,25,22,20,18,17,17,17,15,15,15,14,14,14,13,13,12,12,12,11,11,11,10,10,8,8,8,7,7,6,6,6,6,6,6,5,5,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 9,10,10,11,12,13,14,14,14,14,14,14,14,14,14,14,13,13,13,13,13,13,13,13,11,11,11,11,11,11,11,11,13,13,13,14,14,15,15,15,17,16,15,15,17,19,22,24,25,26,27,25,23,21,22,23,22,23,25,25,24,24,26,28,28,28,28,25,23,21,22,24,25,26,27,26,25,26,29,31,37,43,53,65,74,81,84,85,82,75,64,52,43,39,39,39,42,50,59,64,67,71,77,82,80,78,73,65,56,46,37,32,29,32,36,41,45,48,50,51,52,53,52,50,46,41,35,32,32,31,34,39,45,56,76,93,108,110,109,97,76,56,42,36,38,43,49,54,55,51,46,42,37,39,43,47,50,52,53,53,50,50,51,55,62,70,77,81,88,89,92,96,100,102,102,101,93,86,76,67,59,53,48,45,43,37,34,34,36,39,47,56,64,76,85,86,84,83,80,74,71,71,69,65,62,63,70,75,88,94,99,97,85,71,60,55,59,68,83,96,103,101,94,89,78,66,54,48,45,46,54,64,80,83,86,82,73,62,53,48,39,41,43,42,39,38,39,41,45,46,45,45,44,43,41,40,46,47,50,53,54,51,46,41,46,50,59,72,84,90,89,86,76,68,58,54,56,57,55,51,47,43,39,39,44,51,57,60,64,60,54,46,41,40,44,47,53,55,55,50,42,37,35,36,38,45,50,49,46,45,41,36,32,31,31,32,34,35,33,31,30,29,26,23,23,27,34,40,45,46,44,39,34,32,34,37,48,58,66,64,59,54,49,45,49,63,78,83,81,70,52,36,31,36,46,58,65,61,50,40,32,35,43,58,76,87,90,89,82,71,60,55,54,55,60,66,71,73,73,69,58,44,33,26,27,32,41,50,54,52,46,40,32,28,24,22,23,26,28,28,31,32,32,32,30,27,24,22,25,25,25,26,27,29,30,31,36,37,38,38,38,36,34,33,32,32,31,31,31,31,32,32,31,30,30,29,28,28,28,28,29,31,34,35,35,36,38,40,33,30,27,25,28,34,42,47,55,55,54,51,45,38,32,28,24,25,26,27,28,29,29,29,27,26,25,24,23,23,23,23,25,24,24,23,22,22,21,21,21,21,22,23,25,28,30,32,40,43,47,51,54,55,55,55,51,49,46,43,41,37,32,28,24,22,20,17,15,15,15,15,15,14,14,14,13,13,13,12,12,11,11,11,10,10,10,9,8,8,8,7,7,6,6,6,6,6,6,5,5,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 9,10,10,11,12,12,13,13,13,13,13,13,13,13,13,13,12,12,12,12,12,12,12,12,11,11,11,11,11,11,11,11,13,13,13,14,14,15,15,15,15,15,15,16,18,21,24,25,27,28,29,27,25,24,24,25,24,25,26,26,25,26,28,30,30,31,30,28,25,24,25,26,28,28,29,28,26,26,28,30,37,42,51,61,69,75,79,80,77,71,61,50,42,38,36,36,40,46,53,58,62,66,72,77,76,75,72,65,56,45,35,29,26,29,34,40,46,51,54,56,52,52,50,46,41,35,30,27,29,28,30,35,42,54,75,93,111,115,115,105,85,63,47,40,39,43,48,52,52,48,43,39,36,38,42,48,54,59,63,66,65,63,61,60,60,61,64,65,71,76,83,91,95,96,95,93,93,88,82,75,70,66,61,58,52,45,39,38,39,42,49,57,66,75,84,86,86,87,87,85,85,83,78,69,59,54,55,57,73,82,92,95,89,78,67,62,64,70,78,87,93,94,94,92,84,77,68,59,50,47,52,60,75,81,87,87,79,66,54,46,36,37,38,38,36,37,38,40,46,47,49,50,50,47,44,42,45,44,45,46,47,46,43,40,45,48,55,66,75,77,74,69,61,53,46,43,46,48,46,43,39,36,33,36,44,54,62,67,69,64,56,47,40,38,41,44,52,53,54,50,43,39,39,41,46,54,59,58,53,49,43,36,30,30,30,33,35,37,36,34,34,32,28,24,23,27,34,40,48,48,45,38,31,28,29,32,42,56,70,73,71,65,56,48,46,54,62,64,61,53,41,30,34,41,53,66,72,67,54,44,37,42,54,73,91,101,102,98,88,75,61,53,49,47,51,56,60,63,66,63,54,42,32,27,28,33,42,51,57,55,49,44,32,28,24,22,23,25,26,26,29,30,30,30,29,26,24,22,26,26,26,27,27,28,28,28,31,34,38,41,42,42,41,39,38,37,36,36,36,37,38,39,37,35,32,28,26,26,26,27,29,32,35,36,36,34,34,34,31,30,28,29,33,39,46,51,58,58,56,53,48,41,35,31,26,27,27,28,28,29,29,30,29,29,29,28,27,26,25,24,23,23,23,23,23,23,23,23,23,24,25,27,30,33,35,37,45,47,50,53,54,54,52,51,46,44,40,38,35,31,26,23,21,19,17,14,13,12,12,13,14,13,13,13,12,12,12,11,11,10,10,10,9,9,9,8,8,8,8,7,7,6,6,6,6,6,6,5,5,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 9,9,10,10,11,11,12,12,12,12,12,12,12,12,12,12,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,13,13,13,14,14,15,15,15,16,16,16,17,19,21,23,24,27,28,29,28,26,24,25,26,26,27,28,28,27,28,31,34,33,34,33,30,27,26,27,28,28,29,30,29,27,26,27,28,34,38,45,53,60,66,69,70,65,61,54,46,40,36,34,34,38,42,47,52,55,60,66,70,72,72,71,66,57,46,35,29,27,30,34,40,46,52,56,58,53,51,47,42,36,31,27,24,26,25,26,31,37,50,71,90,104,110,113,106,88,68,53,46,42,46,50,53,52,48,42,38,39,41,46,53,61,69,75,79,78,76,71,64,57,53,51,51,57,64,74,82,86,87,86,84,86,85,85,86,85,81,75,71,61,52,44,42,43,45,52,59,66,72,79,82,83,86,89,92,94,92,87,75,62,52,48,48,59,69,82,91,91,84,77,72,70,72,75,77,80,84,88,90,89,87,81,70,58,50,51,56,65,72,81,86,82,70,56,47,39,39,39,38,39,40,43,45,47,49,53,55,55,51,47,44,45,43,41,41,42,43,42,40,41,43,48,57,63,64,59,53,47,42,37,37,40,42,41,39,34,32,31,36,46,59,69,75,73,67,58,47,38,35,37,40,48,50,50,47,43,40,42,44,52,60,65,63,57,51,42,33,30,29,30,33,37,39,39,38,34,32,29,26,25,30,37,43,53,53,49,41,31,25,25,26,36,52,70,79,80,74,62,51,48,51,52,51,47,42,36,31,40,49,64,78,83,76,62,51,45,51,64,83,99,106,103,97,86,73,57,48,42,39,42,47,51,55,59,58,52,42,34,30,29,34,42,50,55,54,49,44,32,29,25,23,23,25,25,25,28,28,28,28,28,26,25,24,25,26,26,26,26,26,25,25,28,32,38,44,47,48,47,46,45,44,41,40,40,41,44,45,43,39,34,28,24,23,24,25,28,32,36,37,36,32,30,29,29,29,30,32,37,43,50,54,59,59,58,55,50,44,37,33,28,28,28,28,28,28,29,29,30,30,31,31,30,28,26,24,21,21,22,23,24,25,26,26,27,28,30,33,35,38,40,42,46,47,49,50,50,48,46,44,41,38,35,32,30,27,23,19,19,17,15,13,11,11,12,12,13,13,12,12,12,11,11,11,10,10,9,9,9,8,8,8,8,8,8,7,7,6,6,6,6,6,6,5,5,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 9,9,9,9,10,10,10,10,10,10,10,10,10,10,10,10,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,13,13,13,14,14,15,15,15,18,18,18,18,19,20,21,22,25,27,27,27,25,24,25,26,28,29,29,29,29,32,36,39,37,37,36,33,29,27,27,29,28,30,30,29,27,25,26,27,29,32,37,43,49,54,58,59,56,54,50,45,42,39,38,37,37,39,42,45,49,53,58,62,68,69,69,66,59,49,38,32,28,30,34,39,45,50,55,57,56,52,46,40,33,29,26,24,25,24,25,29,34,45,64,82,98,105,109,103,88,70,57,51,50,52,56,58,57,52,47,43,46,49,54,61,69,78,84,88,86,83,76,66,55,48,46,46,57,64,74,80,82,81,80,79,76,80,88,96,99,96,88,82,67,57,49,47,49,51,55,61,63,66,70,73,74,77,84,91,100,100,96,85,71,57,49,46,51,60,73,83,87,86,81,78,74,74,73,70,69,72,78,83,90,93,92,82,69,59,54,53,55,63,74,82,83,75,63,54,45,43,41,41,42,46,49,50,50,52,55,57,56,53,49,47,43,40,38,37,38,39,39,38,35,36,40,46,52,52,47,42,35,33,31,33,36,39,39,38,35,34,35,41,52,64,74,79,74,68,57,44,35,31,33,36,43,45,46,43,40,39,42,45,53,61,66,63,57,49,39,30,30,30,31,34,38,41,41,40,34,33,31,30,30,35,42,47,59,59,56,47,35,27,23,23,34,51,71,84,87,83,70,58,53,49,45,42,39,35,34,35,48,59,76,90,94,86,72,61,51,57,70,87,102,106,100,92,76,63,49,40,35,32,35,40,43,48,54,55,51,44,38,34,31,34,40,46,50,49,45,40,35,31,27,25,25,26,26,25,27,27,27,27,27,27,26,26,25,26,26,27,26,25,24,23,28,32,39,45,50,51,51,50,50,48,45,42,42,45,48,50,50,45,37,30,24,22,21,22,28,32,36,37,35,30,27,26,27,28,31,35,40,45,50,53,57,58,57,55,50,44,39,35,30,29,28,27,27,27,28,29,30,30,31,31,29,27,25,23,19,20,21,23,26,28,29,30,33,34,36,38,40,42,43,44,44,45,46,46,45,43,40,38,37,34,30,28,26,24,21,18,18,17,15,13,12,12,12,13,13,13,12,12,12,11,11,11,10,10,9,9,9,8,8,8,8,8,8,7,7,6,6,6,6,6,6,5,5,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,10,10,10,10,10,10,10,10,11,11,11,11,11,11,11,11,13,13,13,14,14,15,15,15,19,19,19,19,20,20,20,20,24,25,26,26,24,23,24,26,28,29,30,30,32,35,40,44,43,43,41,37,32,29,29,30,28,30,32,31,29,27,27,28,28,29,33,37,41,46,49,51,48,48,46,45,43,41,40,39,38,38,38,40,43,47,52,55,62,63,65,64,59,51,43,38,30,32,35,39,45,50,55,58,59,54,47,39,33,29,27,27,29,27,28,30,33,41,58,73,95,101,104,99,85,70,60,57,59,62,65,66,65,61,56,53,56,59,64,70,77,83,87,90,87,84,76,65,54,47,47,49,61,69,78,82,79,74,70,69,68,75,87,99,105,102,94,87,69,59,52,52,55,56,59,63,61,59,60,61,62,64,74,84,100,103,103,96,82,66,55,49,51,56,64,72,77,79,78,77,75,75,73,68,64,65,71,77,89,96,100,94,83,72,61,52,50,57,67,77,82,79,71,64,51,48,44,43,45,49,52,54,55,55,55,55,54,52,50,48,39,38,37,37,38,38,37,35,32,31,33,37,42,43,39,35,27,27,28,32,36,40,41,40,40,40,42,48,58,67,75,78,71,65,53,41,31,28,30,33,39,41,42,40,37,37,41,45,52,60,65,62,55,47,38,29,31,31,32,36,40,42,42,41,36,37,37,37,38,42,47,51,63,64,63,55,44,33,27,25,36,53,73,86,92,90,79,67,54,47,41,37,34,32,34,39,56,68,86,100,102,94,81,71,58,63,73,88,99,102,95,87,64,52,40,33,30,27,30,34,38,44,50,54,51,46,41,37,31,33,36,41,44,45,42,39,38,35,31,29,29,28,27,26,26,26,27,27,28,28,29,29,28,29,30,31,31,30,28,27,31,34,40,45,50,52,52,52,50,47,44,42,43,47,52,56,56,51,43,34,27,23,21,20,28,31,35,36,33,29,26,24,26,28,32,36,41,45,48,49,53,53,54,52,49,44,39,36,30,29,27,25,25,25,26,27,29,29,28,27,26,24,22,21,18,19,22,25,28,31,33,35,37,38,39,40,41,41,41,41,40,41,42,42,41,38,35,33,31,28,25,23,22,22,20,18,18,17,15,13,12,12,13,13,14,13,13,13,12,12,12,11,11,10,10,10,9,9,9,8,8,8,8,7,7,6,6,6,6,6,6,5,5,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,9,9,9,9,9,9,9,9,11,11,11,11,11,11,11,11,13,13,13,14,14,15,15,15,17,17,19,20,21,22,22,22,24,25,26,26,24,24,25,27,28,29,30,31,33,38,44,49,50,50,47,42,36,32,31,32,30,32,34,34,32,31,31,31,29,30,32,35,39,43,46,48,49,49,49,49,48,45,43,42,40,38,36,36,39,43,47,49,56,57,59,60,57,52,46,42,36,37,40,45,51,57,62,65,62,57,48,40,34,31,31,31,34,33,34,35,35,40,53,67,87,92,95,90,80,70,65,65,69,71,74,75,74,71,66,63,65,68,72,77,81,84,85,86,83,81,74,63,53,49,52,57,69,78,88,90,83,72,64,59,60,68,79,91,97,96,89,82,68,59,53,55,59,61,62,64,59,55,52,52,51,52,63,75,90,97,104,103,93,78,66,60,58,57,58,60,63,66,68,69,74,75,74,69,64,64,69,74,88,98,106,105,98,86,69,55,48,52,59,69,76,78,74,70,58,54,48,47,50,54,57,58,59,58,54,52,50,49,49,49,41,41,41,43,44,43,39,36,32,30,29,31,34,35,33,30,27,28,32,37,42,45,47,47,45,46,48,54,62,68,72,73,67,61,49,37,27,25,28,31,38,40,41,39,36,37,41,45,53,60,64,61,55,48,39,31,32,32,33,37,40,43,43,42,43,45,46,47,47,49,52,54,62,65,68,63,54,43,36,33,39,53,70,83,91,92,83,73,56,47,39,36,34,32,36,43,61,74,92,105,107,99,86,77,67,69,74,84,91,91,82,74,55,44,35,30,27,25,27,31,34,40,48,52,51,46,42,39,31,31,32,36,40,43,43,42,41,38,35,33,32,31,29,28,26,26,27,27,28,30,31,32,34,35,37,39,39,38,36,35,35,37,41,45,48,50,51,51,45,42,40,40,43,50,58,62,63,58,50,40,32,26,22,21,28,31,34,34,31,28,25,24,26,28,32,37,40,43,44,44,47,48,49,49,47,43,38,35,30,29,26,24,23,23,24,25,28,27,25,23,21,20,19,19,18,19,22,26,30,34,37,38,39,39,40,40,39,38,36,35,33,34,35,35,34,32,29,27,26,23,20,19,19,19,18,17,17,15,13,12,11,11,12,13,15,14,14,14,13,13,13,12,12,11,11,11,10,10,10,9,8,8,8,7,7,6,6,6,6,6,6,5,5,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,9,9,9,9,9,9,9,9,11,11,11,11,11,11,11,11,13,13,13,14,14,15,15,15,14,16,18,20,22,23,24,24,24,26,27,27,25,25,26,28,27,28,30,32,34,40,47,52,55,54,51,46,40,35,33,33,31,34,36,37,35,34,33,34,32,32,33,35,39,42,46,48,58,58,59,59,57,54,51,49,42,39,35,35,37,40,44,45,51,53,55,56,55,52,47,45,42,43,47,52,59,66,72,75,64,58,49,41,35,33,33,34,39,38,38,39,37,40,51,63,76,81,85,82,75,70,69,71,75,77,79,81,80,77,73,70,70,73,76,80,82,83,83,82,79,77,71,61,52,51,57,63,79,90,101,104,94,79,65,58,55,61,70,80,86,85,80,75,67,58,53,57,62,64,64,65,59,52,48,46,44,45,56,70,79,89,101,105,100,88,78,72,63,59,54,52,53,56,59,61,72,74,75,71,66,65,69,74,87,99,109,111,107,96,76,57,46,48,53,61,69,73,72,70,65,59,53,51,54,59,62,62,62,59,54,49,47,47,48,50,44,45,48,50,51,49,44,40,34,30,27,27,30,31,29,27,30,32,37,43,48,52,54,54,49,50,52,57,63,67,69,69,64,58,46,34,25,23,26,30,38,40,41,39,36,37,41,46,54,61,65,62,56,50,42,34,33,33,34,37,41,43,43,42,49,51,53,54,53,53,54,56,60,65,70,68,60,50,43,39,38,51,67,79,87,90,83,74,58,48,40,38,36,34,39,47,64,76,94,107,109,100,88,80,74,73,75,80,83,79,69,60,50,41,33,29,27,24,25,28,32,38,46,51,50,46,42,39,29,29,30,33,38,43,45,45,43,41,37,35,34,33,31,29,27,27,27,28,29,31,32,33,39,41,43,45,46,45,43,42,38,40,42,45,47,49,50,51,39,38,36,38,43,52,61,67,68,63,55,45,36,29,24,22,28,31,33,33,30,27,25,25,26,28,32,37,40,41,41,41,44,45,46,47,45,41,37,35,30,28,25,23,22,22,23,24,27,25,22,20,18,17,17,18,18,20,23,27,32,36,39,41,39,39,39,38,37,34,31,30,25,26,28,29,28,26,24,22,22,19,16,16,17,18,17,17,15,14,12,11,10,10,11,12,15,15,15,14,14,14,13,13,12,12,12,11,11,11,10,10,8,8,8,7,7,6,6,6,6,6,6,5,5,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 6,6,6,7,7,8,8,8,8,8,8,8,8,8,8,7,7,8,9,10,11,11,11,10,12,12,12,12,11,11,11,10,13,13,13,13,13,13,13,13,15,17,20,23,25,26,26,26,29,29,28,27,27,27,28,28,27,28,29,30,33,40,47,53,56,56,54,49,42,35,31,29,31,33,37,41,43,43,42,41,38,34,33,38,43,49,57,65,70,73,73,68,64,62,57,50,48,44,39,36,38,42,45,46,52,52,52,51,50,49,47,47,47,48,52,60,69,77,81,82,70,59,46,38,33,32,37,45,46,47,47,43,41,44,52,60,69,75,81,80,75,73,77,83,89,91,94,92,87,80,74,71,77,80,83,83,80,75,72,70,66,67,67,62,58,60,67,74,89,99,108,107,100,86,66,50,53,55,60,65,70,70,68,65,56,56,58,62,67,70,72,72,66,62,54,48,44,45,48,51,63,76,88,94,98,97,87,74,73,62,52,46,39,35,40,50,61,70,80,83,78,73,72,73,83,91,103,113,114,100,80,64,48,44,41,46,57,68,73,74,61,58,54,52,54,59,66,70,71,69,64,55,47,43,44,48,52,57,60,59,60,60,54,47,38,35,29,24,22,24,28,30,35,40,47,53,56,58,60,61,56,55,55,55,56,58,60,61,54,49,40,31,25,25,30,34,39,44,47,45,39,37,42,47,56,59,64,65,62,55,46,40,38,36,37,39,39,37,40,46,51,56,61,61,57,53,51,51,53,61,69,72,73,69,58,47,45,48,56,68,80,84,80,74,62,52,42,38,37,36,40,45,62,71,85,97,101,97,88,81,74,71,68,68,68,65,56,49,40,35,28,23,21,23,28,31,32,38,46,52,53,48,40,35,28,27,26,28,34,40,44,46,44,43,42,39,35,31,28,26,26,28,30,31,31,33,36,38,44,48,52,53,55,56,51,44,44,39,35,36,42,46,46,44,39,37,36,37,44,54,64,71,75,71,62,50,38,29,25,24,28,29,31,32,32,30,28,26,26,27,30,32,34,34,34,33,38,39,41,43,42,40,37,35,28,26,23,21,20,20,21,22,21,20,19,18,18,18,18,19,18,21,26,31,35,38,40,41,40,39,37,34,31,27,23,22,19,19,19,20,21,21,21,22,18,18,16,15,14,13,13,14,12,12,12,13,13,14,14,14,15,15,14,14,14,14,13,13,14,13,12,11,9,8,7,7,8,8,8,7,7,6,6,6,6,6,6,5,5,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 6,6,7,7,7,8,8,8,9,8,8,8,8,8,8,8,9,9,11,12,13,13,13,12,14,14,14,14,14,14,14,13,14,14,14,13,13,13,13,13,14,16,18,21,24,25,26,26,29,29,28,28,28,29,29,30,28,29,30,31,34,39,46,52,55,55,54,49,42,35,31,30,31,34,39,44,47,47,46,45,42,37,36,41,47,53,62,71,79,82,82,78,74,71,65,58,51,47,42,40,42,46,49,50,54,53,51,49,47,46,45,44,52,55,60,68,77,84,86,86,72,60,48,40,35,34,39,46,49,50,50,48,46,48,56,63,68,73,77,77,75,77,84,91,103,105,105,101,93,83,76,72,75,78,82,82,78,72,67,65,61,63,63,61,59,62,69,76,94,103,111,110,102,89,71,56,49,49,51,54,57,58,56,54,55,57,60,65,71,76,79,80,82,77,69,59,51,45,44,44,53,64,75,82,88,91,85,76,75,66,55,47,39,33,36,43,54,65,78,84,82,78,75,75,80,87,98,108,110,100,82,68,49,44,39,42,51,61,68,70,63,61,58,56,59,65,71,76,72,70,63,54,45,43,46,50,57,62,67,67,67,67,61,53,43,38,30,24,23,25,30,33,40,45,51,56,58,58,59,60,54,53,51,51,51,52,54,55,49,45,38,30,26,27,33,37,42,47,50,48,43,41,46,51,58,62,66,68,64,57,48,42,38,36,35,37,37,36,40,47,51,56,61,61,56,49,45,44,50,60,70,76,79,75,64,52,44,45,51,62,74,80,78,73,62,52,42,38,37,36,39,44,56,65,78,89,93,90,83,78,70,66,62,62,62,59,52,46,36,34,30,26,25,26,28,30,34,39,47,52,52,47,40,34,28,26,25,28,34,40,44,46,45,44,41,38,35,32,30,29,28,30,31,31,32,34,38,41,49,54,58,59,61,62,57,49,44,39,34,35,39,43,43,41,35,32,31,32,38,49,60,66,73,70,63,53,41,32,27,25,29,30,32,34,34,32,30,29,28,29,30,31,31,31,31,30,33,35,38,40,40,38,35,33,29,28,26,23,22,22,23,24,20,19,18,17,17,17,17,18,18,21,25,29,33,36,37,37,36,35,33,30,27,23,20,19,17,17,17,18,18,19,19,19,17,17,15,14,13,13,13,13,12,12,13,13,13,14,14,14,15,15,14,14,14,13,13,13,13,13,12,11,9,8,7,7,8,8,8,7,7,6,6,6,6,6,6,5,5,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 6,7,7,7,8,8,8,8,9,9,9,9,9,9,9,9,11,12,13,15,16,16,16,16,18,18,19,19,20,19,19,19,16,16,15,15,14,13,13,13,12,14,16,19,22,24,25,25,29,29,30,30,31,31,32,32,30,31,32,32,34,38,44,49,54,54,53,49,42,36,32,31,31,35,42,47,51,51,49,47,43,39,38,43,50,58,69,79,87,91,92,87,83,80,73,66,56,53,48,47,49,52,55,56,58,55,51,47,44,42,42,42,54,58,66,75,84,88,88,86,72,61,49,41,37,35,41,48,53,55,56,54,53,54,60,65,66,70,73,74,75,82,94,104,118,118,116,109,98,86,77,72,70,74,78,78,73,66,60,56,54,56,59,59,60,65,73,79,96,103,109,106,99,88,72,59,47,44,42,42,44,45,45,45,54,56,61,67,75,82,87,91,98,94,87,75,61,49,42,39,42,51,60,67,74,81,82,80,78,71,61,51,41,33,32,36,47,59,75,86,88,84,79,77,75,80,89,99,103,97,84,74,53,46,38,36,42,51,59,63,63,61,59,59,63,69,75,79,74,70,61,50,42,41,47,53,62,70,76,77,77,75,68,60,48,42,32,24,22,26,32,37,45,50,55,58,58,57,55,55,51,49,47,45,45,46,47,49,44,41,36,30,28,30,36,41,45,50,54,53,49,47,51,55,61,64,68,69,66,59,50,44,38,35,33,34,33,34,40,47,51,57,62,61,54,44,37,34,42,54,68,78,83,81,68,56,41,40,43,52,64,73,74,73,62,52,43,39,37,35,38,43,49,56,66,76,80,80,76,73,64,60,55,52,51,50,45,41,33,32,31,30,30,30,30,31,38,42,47,51,50,45,38,33,26,25,25,28,34,39,43,45,45,43,39,35,33,32,32,33,32,33,34,34,34,37,41,45,53,59,63,65,67,67,61,52,44,39,34,33,35,38,38,37,32,30,27,28,34,44,55,62,70,68,64,55,45,36,30,28,30,32,34,37,38,37,36,34,33,32,31,29,28,27,27,26,27,30,34,37,38,37,34,32,31,30,29,27,25,25,25,25,19,19,18,17,17,17,17,17,19,21,25,28,31,33,33,33,31,30,28,25,22,19,17,15,15,15,15,15,16,16,16,16,16,15,14,13,12,12,12,12,12,13,13,13,14,14,14,14,15,15,14,14,13,13,13,12,12,12,11,10,9,8,7,7,8,8,8,7,7,6,6,6,6,6,6,5,5,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 7,7,7,8,8,8,9,9,10,10,10,10,11,11,11,11,14,15,16,18,19,20,20,20,22,23,24,25,26,26,25,25,20,19,18,17,16,15,14,13,12,13,15,17,20,22,24,24,28,29,30,31,33,33,34,34,31,32,32,33,33,37,42,46,52,53,52,49,43,37,34,33,32,36,42,47,49,48,45,43,38,34,35,42,51,61,74,85,90,94,95,91,87,85,79,72,64,61,56,55,56,59,61,61,61,58,51,45,41,40,40,41,50,55,64,74,82,84,82,79,69,58,47,41,38,38,44,52,59,61,62,61,59,59,61,63,65,67,68,70,75,87,103,115,124,123,119,110,98,84,75,70,65,69,74,74,69,60,52,48,47,50,54,58,62,68,76,82,90,96,98,95,88,79,66,55,46,43,39,37,39,42,45,46,53,56,61,68,76,85,94,100,108,107,102,90,73,58,48,43,41,45,50,55,62,70,76,79,78,75,69,60,49,40,36,36,45,56,73,86,90,88,81,77,70,72,78,86,92,91,85,79,59,50,39,34,36,44,52,57,59,58,57,59,63,68,74,78,75,69,58,45,36,37,45,52,66,75,83,84,82,78,71,63,51,44,33,24,22,26,33,39,47,51,55,56,54,50,48,47,44,43,41,39,39,41,42,44,40,38,35,31,29,31,37,41,46,51,56,56,53,51,53,56,60,63,67,68,65,58,50,45,38,33,30,31,30,32,39,48,52,58,62,60,51,39,31,26,31,46,63,76,83,81,68,55,38,35,35,42,55,66,71,72,63,53,43,39,37,35,36,41,43,48,55,63,67,69,67,66,58,53,47,43,42,42,40,39,33,33,32,32,33,33,34,35,41,44,47,49,47,42,35,31,26,25,25,28,33,38,42,43,42,40,36,33,31,33,35,37,38,39,39,38,38,41,46,50,53,58,63,65,67,66,60,51,44,39,33,31,32,34,34,34,34,31,27,27,32,41,51,58,63,63,62,56,47,39,34,31,32,35,38,41,43,43,43,42,41,38,35,30,27,25,24,23,24,27,31,35,37,36,34,32,33,32,31,30,28,27,26,25,21,20,19,18,18,18,18,19,22,23,26,28,30,31,31,31,28,26,24,21,18,16,15,14,14,14,14,15,15,15,15,15,14,14,12,12,11,11,11,12,13,13,13,14,14,14,15,15,15,15,14,14,13,12,12,11,12,11,11,10,9,8,7,7,8,8,8,7,7,6,6,6,6,6,6,5,5,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 7,7,8,8,8,9,9,9,10,10,11,11,12,12,13,13,16,17,19,21,22,23,23,23,25,27,29,31,32,32,31,31,24,24,22,20,18,16,15,14,13,13,14,16,18,20,22,23,27,28,30,32,33,33,33,33,30,31,32,32,33,35,39,43,48,50,50,48,43,39,37,36,35,37,41,44,44,41,37,35,31,28,30,39,50,61,75,86,90,94,94,91,89,88,84,79,73,70,65,62,62,63,64,63,62,58,51,45,40,39,40,41,45,49,58,67,74,76,73,70,64,54,45,41,41,44,52,61,69,70,71,70,67,63,60,59,62,63,64,67,74,88,106,118,127,126,120,108,93,79,68,63,60,64,69,69,64,56,48,44,43,46,52,57,64,71,78,82,82,86,86,80,74,68,59,50,45,41,38,38,41,47,51,53,58,60,63,68,75,86,99,108,119,119,115,103,86,69,59,54,48,48,48,49,51,56,64,71,75,77,77,72,64,55,48,43,48,56,68,81,87,86,80,75,66,65,66,71,77,81,81,79,65,56,44,36,35,40,47,52,56,56,56,58,62,66,71,74,72,65,52,39,31,33,42,51,68,78,87,87,82,76,68,60,50,43,33,25,23,27,34,39,45,47,49,48,45,41,38,37,34,34,33,34,35,36,38,39,38,37,35,31,30,31,36,40,46,50,55,56,54,52,52,52,55,58,61,63,61,55,48,43,37,32,29,29,29,31,39,49,53,57,60,57,47,35,27,23,27,41,59,73,80,78,66,53,35,31,29,36,49,62,69,71,63,53,44,39,37,34,35,38,40,43,48,53,56,58,58,58,50,46,41,37,36,36,37,38,37,36,34,34,35,37,39,41,43,44,46,46,43,38,33,30,26,25,25,28,33,37,39,40,38,36,33,31,32,35,39,42,45,46,46,45,44,46,50,53,52,57,61,63,64,64,57,49,43,39,33,30,30,32,34,35,36,33,29,28,30,37,44,50,54,56,56,53,47,41,37,35,36,38,43,47,50,51,51,51,49,46,41,35,30,26,24,23,24,26,30,33,35,36,35,34,34,34,34,33,31,29,26,25,23,22,21,20,20,20,21,21,24,25,27,29,30,31,30,29,26,24,22,19,17,15,15,15,15,15,15,15,15,15,15,15,13,13,12,11,11,11,11,12,13,13,14,14,14,15,15,15,15,15,14,13,12,11,11,10,11,10,10,9,8,8,7,7,8,8,8,7,7,6,6,6,6,6,6,5,5,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 8,8,8,8,9,9,9,10,11,11,12,12,13,14,14,15,18,19,21,23,24,25,26,26,28,30,33,36,37,37,36,35,29,28,26,24,21,19,17,16,15,15,15,16,17,19,20,21,26,27,29,31,31,31,30,29,28,29,31,31,31,34,37,40,44,46,48,47,44,42,40,41,38,39,41,41,39,36,32,29,27,25,28,38,49,59,72,82,88,91,92,89,88,91,90,87,82,78,72,68,66,65,64,62,59,55,49,43,39,38,39,40,43,46,52,60,66,68,67,64,60,52,46,45,49,55,66,76,85,85,85,82,76,69,61,56,58,58,58,62,70,84,100,110,125,122,115,102,86,71,60,54,56,60,64,65,61,54,48,45,43,46,52,58,66,72,78,80,77,79,76,69,63,59,53,47,42,40,39,41,46,52,56,58,64,64,64,64,69,81,97,108,124,125,122,111,93,78,70,67,61,58,54,50,46,45,51,59,70,78,85,85,79,72,61,52,50,53,60,70,78,80,76,71,63,59,55,56,62,70,74,75,69,62,51,41,37,39,44,47,55,55,56,57,60,63,66,68,64,58,46,34,28,32,44,54,72,82,90,87,80,72,63,55,47,42,34,28,26,30,35,39,42,43,43,40,36,33,32,32,27,29,30,32,34,34,34,34,37,36,35,32,30,32,35,38,45,49,54,55,54,51,48,47,48,51,55,57,56,51,45,42,36,32,29,29,30,32,39,48,51,53,54,49,40,31,25,24,29,42,57,68,75,73,62,50,32,28,27,34,48,61,68,70,63,53,44,40,37,33,33,36,38,40,42,45,47,48,49,49,43,40,36,32,31,33,35,37,40,39,38,37,38,41,43,45,43,43,43,42,39,35,31,29,27,26,26,28,32,35,36,36,35,33,32,32,35,40,45,49,52,53,54,53,51,51,53,55,53,57,60,60,61,62,56,49,41,38,34,30,30,32,36,39,38,36,32,29,30,32,36,39,44,46,48,47,44,41,39,38,40,43,48,53,57,59,60,60,58,55,50,44,37,31,27,25,25,27,29,31,33,35,36,36,36,37,38,38,36,32,29,26,24,24,23,22,21,21,22,22,24,26,28,29,30,30,29,28,25,23,21,18,16,15,16,16,16,16,16,16,15,15,15,15,13,12,12,11,11,11,12,13,14,14,14,14,15,15,15,16,15,15,14,13,12,11,10,10,10,9,9,9,8,8,7,7,8,8,8,7,7,6,6,6,6,6,6,5,5,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 8,8,8,9,9,9,10,10,11,12,12,13,14,15,16,16,19,20,22,24,25,26,27,27,30,32,36,39,41,41,40,39,34,32,30,27,24,21,19,18,18,17,17,16,17,18,19,20,25,26,28,29,29,28,27,25,25,27,29,29,30,32,36,39,40,43,46,46,45,44,44,44,42,42,41,40,37,34,32,30,30,28,32,41,50,58,67,76,83,85,85,83,85,90,93,92,89,85,78,72,68,65,62,59,53,50,45,41,38,37,37,38,41,42,46,51,57,61,61,60,61,54,50,53,59,69,82,94,103,102,100,96,88,76,64,56,52,52,53,57,65,77,89,98,109,107,101,90,77,64,55,51,53,57,61,62,59,54,50,48,45,48,53,60,67,73,76,78,73,73,69,60,54,52,49,44,41,41,43,47,53,59,61,62,64,62,58,55,57,69,86,100,115,118,116,107,93,82,79,80,79,73,66,60,50,42,45,54,65,79,92,95,92,84,71,59,49,48,49,57,66,72,72,69,62,55,46,44,50,59,66,69,70,65,56,46,40,39,41,43,52,52,52,54,55,57,58,59,55,50,41,32,29,36,50,61,78,88,93,88,78,68,59,52,44,41,37,33,32,34,37,40,41,41,39,35,31,29,30,32,31,33,36,39,39,38,36,34,33,34,34,32,31,33,36,39,45,49,53,55,53,49,45,43,43,46,50,52,52,49,44,41,35,31,29,30,31,33,40,48,47,48,46,40,32,26,24,25,31,41,53,61,66,64,54,43,29,26,27,35,49,61,68,69,63,53,44,40,37,33,32,35,37,38,39,40,40,40,39,39,35,33,31,29,28,30,34,37,41,42,43,44,44,45,45,45,42,42,40,38,35,32,30,28,29,28,27,29,31,33,33,32,33,33,34,36,41,47,52,56,58,59,61,60,58,56,55,56,52,55,56,55,56,57,54,47,40,37,34,31,31,34,39,43,44,42,38,35,32,31,32,32,35,37,40,41,40,39,40,41,43,46,52,58,63,66,67,68,66,63,58,52,45,38,32,29,27,27,27,27,29,32,35,37,40,41,43,43,41,37,32,29,24,23,22,21,21,21,21,22,23,24,26,28,29,28,28,27,24,22,19,17,15,15,16,16,16,16,16,15,15,14,14,14,13,13,12,12,12,12,13,14,14,14,14,15,15,15,16,16,15,15,14,13,11,10,9,9,9,9,9,8,8,8,7,7,8,8,8,7,7,6,6,6,6,6,6,5,5,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 8,8,8,9,9,10,10,10,12,12,13,14,15,16,16,17,19,20,22,24,26,27,28,28,30,33,37,41,43,43,41,40,36,35,32,29,26,23,20,19,20,19,18,17,16,17,18,19,24,25,27,28,28,26,24,23,23,25,27,28,29,31,35,38,38,41,44,46,45,45,46,46,45,44,42,40,38,35,34,33,34,33,36,44,52,57,64,71,77,80,79,77,80,88,93,93,93,88,81,74,69,64,60,57,48,45,42,38,36,36,36,36,39,39,41,45,50,55,57,57,62,56,54,59,67,79,94,106,115,114,111,105,95,81,67,57,47,47,49,53,60,71,81,88,90,89,86,79,69,60,54,51,51,55,59,60,58,54,52,50,47,50,54,61,68,73,75,76,69,69,63,54,48,48,46,42,43,44,47,53,59,64,65,65,60,57,51,44,45,56,76,90,101,104,105,99,89,83,84,88,92,85,78,69,56,45,46,55,62,79,96,101,99,91,76,61,47,43,41,47,58,67,69,68,62,53,42,38,43,52,61,65,70,65,58,49,42,39,39,41,48,48,48,49,49,50,51,51,49,45,38,31,31,40,56,68,83,92,96,89,77,67,58,51,43,41,39,37,37,38,39,40,42,41,38,33,29,29,31,33,38,41,45,48,47,44,40,37,31,32,32,32,32,34,38,41,46,49,53,55,53,49,44,40,40,43,47,50,50,48,44,41,35,31,30,31,32,33,40,48,44,43,40,34,26,22,24,26,31,39,49,54,57,56,46,36,28,26,28,37,51,63,68,68,63,54,45,40,37,32,32,34,36,36,37,37,36,35,34,33,30,29,28,27,26,29,33,36,41,43,46,49,49,48,45,43,41,40,39,36,33,31,29,28,30,28,28,29,31,32,31,30,33,33,35,39,45,52,57,61,61,63,65,65,62,58,56,56,50,52,52,50,51,53,50,45,39,37,34,31,32,36,42,47,50,48,45,41,37,33,31,30,30,32,35,37,37,38,40,42,45,48,54,61,66,69,71,72,70,68,64,58,50,42,35,31,28,27,25,25,27,30,34,37,43,45,46,47,44,40,35,32,23,22,21,20,20,20,21,21,21,22,24,26,27,27,26,26,23,21,18,15,14,14,15,16,15,15,15,14,14,13,13,13,14,13,13,12,12,13,14,14,14,14,14,15,15,16,16,16,15,15,14,13,11,10,9,8,9,9,8,8,8,8,7,7,8,8,8,7,7,6,6,6,6,6,6,5,5,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 9,9,9,10,10,11,11,11,13,13,14,15,16,17,17,18,18,19,21,22,24,26,28,28,31,33,36,39,41,41,41,40,39,37,35,32,29,26,23,22,23,23,23,23,23,23,23,23,26,27,29,29,29,27,24,23,19,20,21,23,26,28,31,32,37,39,42,43,44,45,47,50,49,48,46,44,41,40,39,39,44,45,48,51,56,60,64,67,66,67,69,71,74,81,89,95,88,86,82,76,68,62,56,53,47,45,42,39,37,35,35,34,38,40,43,47,53,59,63,66,68,69,70,70,74,84,98,108,122,130,130,118,108,99,81,62,53,50,48,51,59,67,72,74,76,73,72,72,70,65,59,56,51,55,58,59,59,61,62,61,61,63,64,64,68,74,74,70,69,66,62,59,57,54,52,49,51,50,51,55,62,66,67,66,64,51,39,37,39,47,62,77,90,91,86,77,71,75,87,97,102,103,99,84,67,57,58,64,76,90,99,99,98,96,82,63,50,42,35,37,48,60,67,68,63,56,45,37,35,41,50,57,63,64,62,54,45,39,40,43,44,46,47,46,44,43,44,45,46,46,44,43,46,56,71,82,96,102,102,92,78,66,54,45,43,41,41,42,45,46,45,44,43,40,35,32,31,34,37,40,46,54,59,59,56,52,42,33,31,25,24,30,36,40,45,49,53,57,58,56,53,48,39,29,32,34,39,44,48,48,44,40,35,31,28,29,33,37,38,37,42,39,33,29,26,26,28,29,32,36,41,45,46,43,39,36,27,29,34,41,50,59,67,71,62,57,48,38,31,30,33,37,37,38,38,38,37,35,33,31,31,29,26,25,25,27,30,32,41,42,46,51,53,52,48,44,41,37,33,30,30,31,32,32,31,31,31,30,30,30,29,29,32,36,42,45,48,52,59,65,69,67,66,65,63,60,56,53,50,48,47,47,48,47,45,44,39,37,34,33,35,40,46,49,56,57,57,52,44,36,30,28,27,30,34,38,41,43,42,42,48,50,55,60,65,70,73,75,74,71,66,58,49,40,33,29,28,26,23,21,23,27,32,36,43,45,48,49,47,42,36,31,26,25,22,20,19,19,20,21,22,22,23,24,25,26,26,27,20,19,18,16,14,14,13,13,14,14,14,14,14,14,14,14,12,13,15,17,18,19,19,19,18,18,17,16,15,15,15,15,14,13,12,11,9,8,7,6,8,8,8,8,8,8,8,8,7,7,7,7,7,7,7,7,8,7,6,5,5,5,5,6,6,6,6,5,5,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 9,9,9,10,10,10,11,11,12,12,13,14,15,16,16,17,17,18,19,21,23,24,26,26,28,30,33,36,38,38,37,37,36,35,33,30,28,25,24,23,23,23,24,24,25,25,26,26,27,28,29,30,29,27,25,23,20,20,20,21,23,25,28,29,35,37,40,41,42,43,46,49,51,51,50,48,47,46,46,45,49,49,50,52,54,57,60,62,58,59,61,63,66,72,80,86,86,84,80,74,68,61,56,53,49,47,44,41,38,36,35,35,34,36,41,49,58,67,75,79,82,81,80,78,79,87,99,109,125,133,135,126,116,108,91,73,62,59,55,56,58,61,62,61,71,71,72,75,75,71,66,62,55,57,59,60,62,66,69,70,68,70,70,69,71,75,74,69,68,65,62,60,59,59,58,56,57,55,54,57,62,66,68,67,64,51,40,36,38,45,60,74,75,76,72,65,62,69,84,96,107,110,108,98,84,76,77,81,91,103,109,107,103,98,82,64,49,41,34,36,47,59,66,69,66,59,48,38,36,39,46,51,59,60,59,53,45,40,40,43,43,45,46,45,43,42,43,44,49,50,50,51,55,65,79,90,101,107,107,97,84,72,59,50,46,45,45,46,49,50,50,49,45,41,37,33,33,36,41,45,55,63,68,67,63,57,46,36,31,26,26,33,41,47,52,58,63,66,66,61,56,50,40,30,32,34,39,45,49,49,45,41,34,29,26,27,32,36,38,38,38,35,30,26,24,25,27,29,31,33,36,38,37,35,32,30,28,30,34,40,48,57,64,69,62,57,49,39,31,29,31,34,36,37,38,38,37,35,33,32,31,30,27,25,26,27,30,32,40,42,46,51,53,52,47,42,38,35,30,28,29,31,32,32,31,31,30,29,28,28,29,29,33,37,42,45,47,51,58,64,69,69,69,68,65,61,56,52,46,45,44,46,48,49,48,47,44,42,40,39,41,46,51,55,62,63,63,59,51,42,35,32,29,31,33,36,39,40,40,40,46,49,53,59,64,67,69,70,70,67,62,56,48,40,34,30,27,25,23,22,24,28,32,36,42,44,47,47,45,39,33,29,23,22,19,17,17,17,19,20,20,20,21,22,23,23,24,24,19,18,17,15,14,13,13,13,13,13,13,14,14,15,15,15,16,17,18,19,20,20,20,20,19,18,17,16,15,14,14,14,13,13,12,11,9,8,7,7,8,8,8,8,8,8,8,8,7,7,7,7,7,7,7,7,8,7,6,5,5,5,5,6,6,6,6,5,5,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 9,9,9,9,10,10,10,11,11,11,12,12,13,14,14,15,15,16,17,18,20,21,22,23,23,25,28,30,32,32,32,31,31,30,29,28,26,25,24,23,24,25,25,26,28,29,29,30,29,30,31,31,30,29,26,25,23,22,20,20,20,22,25,26,32,34,36,37,38,41,44,47,53,53,54,55,55,55,55,55,54,53,52,51,51,51,53,53,49,50,52,54,57,63,70,75,82,80,76,71,66,62,58,56,53,52,49,46,42,39,37,36,33,36,42,52,64,77,88,95,98,96,91,85,82,86,96,105,122,131,136,130,123,115,101,86,77,75,72,70,68,66,62,59,66,70,76,82,86,86,80,75,65,63,61,62,65,71,76,81,79,81,80,78,78,78,74,68,67,64,62,61,63,66,67,67,66,62,59,59,61,65,68,70,65,55,46,43,44,50,61,72,66,64,59,53,52,62,79,93,110,115,118,114,106,102,105,110,116,124,126,119,111,100,82,63,50,43,35,37,47,58,66,69,70,63,52,42,37,37,40,43,52,55,55,52,46,41,41,42,42,44,45,45,43,41,41,42,49,51,55,58,63,73,86,96,105,109,109,100,88,77,64,54,49,49,49,51,54,56,55,54,47,43,38,34,35,40,47,52,64,71,76,74,69,61,48,37,30,27,29,38,49,57,66,73,79,82,80,71,62,52,41,31,31,34,40,47,51,51,46,42,31,27,23,24,29,35,38,38,35,31,26,22,21,23,26,28,30,30,30,29,28,27,26,26,30,31,34,39,45,53,60,63,61,57,49,39,31,28,28,30,35,36,38,38,38,36,33,32,31,30,28,26,26,27,29,31,38,41,46,51,53,50,44,39,34,31,27,25,27,30,31,32,32,30,28,26,26,27,29,30,33,37,40,42,44,48,55,61,68,70,71,71,67,61,55,51,45,45,45,47,50,52,51,50,50,48,45,44,46,51,56,60,66,68,68,64,56,46,39,35,31,32,33,34,35,36,36,37,42,45,49,55,59,61,62,62,61,59,56,51,45,39,34,31,27,26,24,23,25,28,32,35,40,42,43,43,39,34,28,25,18,17,16,15,15,15,17,18,18,18,19,20,20,21,21,22,18,17,16,14,13,13,12,13,12,13,14,15,16,17,18,18,22,22,23,23,23,23,22,22,20,19,17,16,14,13,13,13,13,12,12,11,9,8,8,7,8,8,8,8,8,8,8,8,7,7,7,7,7,7,7,7,8,7,6,5,5,5,5,6,6,6,6,5,5,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 8,8,9,9,9,10,10,10,10,10,11,11,12,12,12,13,13,14,15,16,17,18,18,19,19,20,22,24,25,26,26,25,25,25,25,25,24,24,24,24,24,25,26,28,30,31,32,33,32,33,33,33,33,32,30,29,28,26,23,21,21,22,24,25,28,30,32,33,35,37,42,45,52,54,56,59,61,61,61,61,56,54,51,48,46,45,45,45,44,46,47,49,51,56,63,67,73,72,69,67,64,62,61,60,61,60,58,54,50,45,41,38,36,39,45,55,69,85,99,107,111,107,99,88,81,81,88,94,110,120,128,127,123,116,105,95,88,88,86,84,80,74,68,64,65,75,86,97,104,107,102,94,79,72,66,65,67,72,79,86,88,90,90,87,85,83,76,68,66,63,61,62,66,71,75,77,73,69,64,60,60,64,68,71,69,65,62,62,63,67,72,76,71,64,55,49,49,57,74,90,109,115,121,123,123,126,133,141,145,148,144,132,118,102,81,64,53,46,39,39,47,58,66,69,71,65,55,46,39,36,36,37,46,49,51,49,46,42,41,42,44,46,47,47,45,42,42,42,44,48,54,59,64,74,85,94,101,105,105,98,88,78,65,55,50,50,51,54,57,58,57,56,47,43,38,35,37,43,52,57,67,74,79,76,70,60,46,35,30,28,32,43,56,68,81,91,99,101,96,84,69,55,41,30,29,33,41,48,53,52,47,42,29,24,21,22,28,35,38,39,35,31,25,20,18,20,23,25,31,29,27,25,25,25,27,28,32,32,33,36,41,47,53,56,58,54,48,39,31,27,26,27,33,34,37,38,38,36,34,32,30,29,27,26,26,27,29,30,37,40,45,50,52,48,42,36,29,26,23,22,25,28,30,31,32,30,27,25,24,26,28,30,32,35,37,37,38,42,50,56,63,67,71,71,67,60,53,49,50,50,52,55,58,58,57,55,55,52,49,47,48,52,56,60,65,67,68,65,57,47,39,35,34,33,33,32,32,32,33,33,36,39,43,48,51,52,52,51,51,50,48,45,42,38,35,33,29,28,27,26,27,29,32,33,35,36,36,35,32,28,23,20,15,15,14,14,14,15,16,17,18,18,19,19,20,20,21,21,19,18,17,16,15,14,14,14,14,15,16,18,19,21,22,23,27,27,27,27,26,25,24,23,21,20,18,15,13,12,12,11,12,12,11,10,10,9,8,8,8,8,8,8,8,8,8,8,7,7,7,7,7,7,7,7,8,7,6,5,5,5,5,6,6,6,6,5,5,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 8,8,8,9,9,9,10,10,10,10,10,10,11,11,11,11,12,12,13,13,14,14,15,15,15,16,17,18,19,20,20,21,20,20,21,21,22,23,23,23,23,24,25,27,29,31,32,33,34,34,35,35,35,35,35,34,34,32,29,26,25,25,25,26,27,28,29,30,31,34,38,42,48,51,55,59,62,62,61,60,54,51,47,43,41,40,41,42,43,44,46,46,48,51,56,60,63,63,62,61,61,62,63,64,68,68,67,64,59,53,48,45,39,41,47,57,73,91,108,117,118,114,104,91,80,76,79,84,95,105,116,119,118,114,108,102,96,96,94,90,83,76,70,67,72,86,103,116,127,132,126,115,97,84,71,68,68,70,76,84,92,95,96,93,91,87,79,69,66,63,60,62,67,74,79,82,78,73,67,61,58,61,66,70,73,77,82,86,89,91,90,88,79,68,56,50,49,55,72,89,106,112,121,128,134,144,156,165,170,166,157,141,123,104,83,69,58,52,45,44,49,57,63,66,68,64,57,50,44,40,37,36,43,44,46,46,45,43,42,42,47,49,51,51,48,45,44,44,41,46,51,56,60,68,78,85,93,97,97,92,85,77,66,55,49,49,50,53,56,57,55,53,45,41,36,34,36,43,52,58,66,73,77,74,68,59,45,34,30,29,34,46,60,76,93,107,117,119,114,98,78,59,42,30,28,33,41,51,56,54,48,43,29,25,22,24,30,37,40,41,38,34,26,20,17,18,20,23,29,28,26,24,25,27,30,32,34,33,32,32,35,39,44,47,52,51,46,39,32,27,25,25,31,33,36,38,38,37,34,32,28,27,27,26,27,28,29,30,38,40,44,48,49,46,39,34,26,23,20,20,23,27,29,30,32,30,27,25,24,26,28,30,30,32,32,31,30,35,43,49,57,62,68,70,66,59,53,51,55,58,62,68,72,73,70,67,62,58,54,50,49,51,55,57,61,63,65,62,55,47,41,37,36,35,34,32,31,31,31,31,30,32,36,39,41,41,41,40,41,41,41,41,41,39,38,38,34,33,32,30,29,29,30,30,28,28,28,28,26,23,20,18,16,16,16,15,16,16,17,17,20,20,20,20,20,21,21,21,21,20,19,18,17,17,17,17,17,18,19,21,23,25,26,27,29,29,29,29,27,26,24,23,20,19,17,15,13,12,11,11,12,12,11,10,10,9,8,8,8,8,8,8,8,8,8,8,7,7,7,7,7,7,7,7,8,7,6,5,5,5,5,6,6,6,6,5,5,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 7,8,8,8,9,9,9,9,10,10,10,10,10,10,11,11,12,12,12,12,12,12,12,12,13,13,14,14,15,16,17,17,16,16,17,18,19,21,21,22,21,22,23,25,27,28,30,30,32,33,33,34,35,36,37,38,37,36,34,32,30,29,28,27,27,27,28,28,28,31,35,39,44,48,53,57,60,59,58,56,48,46,43,40,39,40,42,44,45,46,47,47,47,48,52,55,57,56,56,56,57,59,61,63,69,70,71,70,68,63,59,56,44,45,49,58,73,92,110,121,122,118,109,95,82,74,74,76,83,93,105,112,113,112,111,111,109,107,103,96,86,78,73,70,82,101,122,137,150,155,147,134,114,95,78,72,69,67,72,80,89,94,97,97,95,92,82,72,66,63,59,60,65,72,79,82,78,74,67,60,56,57,62,67,75,85,96,103,109,111,107,102,86,72,59,53,51,54,69,86,102,109,120,130,141,153,166,175,176,169,155,137,119,100,83,73,61,56,51,48,50,53,57,58,61,60,57,54,50,46,43,41,42,42,43,44,44,44,43,43,49,52,54,54,51,48,46,46,41,45,49,51,53,58,66,72,80,85,86,84,81,76,65,55,46,47,48,51,53,53,51,48,40,37,33,31,34,41,49,54,63,70,73,70,65,58,47,37,32,30,34,45,61,79,101,119,134,137,131,113,88,65,44,30,29,35,44,55,60,59,52,46,33,30,28,31,37,43,45,44,42,37,29,22,18,19,22,24,29,28,28,28,29,30,32,33,35,33,30,28,29,32,36,39,46,45,44,39,33,28,26,25,29,31,35,38,39,37,34,32,27,27,28,28,29,31,33,33,39,40,42,45,46,43,38,33,25,22,19,19,22,26,28,29,32,30,28,26,26,27,29,30,29,30,28,26,24,29,37,44,53,60,67,70,67,62,58,57,63,68,77,86,92,92,88,83,69,65,59,53,49,49,51,53,55,57,58,56,51,46,42,40,38,37,36,35,33,32,31,30,28,29,30,31,32,32,32,32,36,37,39,41,43,44,45,45,41,40,38,35,32,29,27,26,22,22,22,22,22,21,20,20,20,20,20,20,20,20,20,19,21,21,21,21,21,21,21,21,21,21,20,19,18,18,19,19,19,20,21,23,25,26,28,28,29,29,28,28,26,25,23,22,19,18,16,14,13,12,12,11,11,11,11,10,10,9,9,9,8,8,8,8,8,8,8,8,7,7,7,7,7,7,7,7,8,7,6,5,5,5,5,6,6,6,6,5,5,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 7,7,8,8,8,9,9,9,11,11,11,11,11,11,11,11,12,11,11,11,11,11,11,11,12,12,12,12,13,14,15,16,14,14,15,16,17,19,20,20,19,20,21,22,23,25,26,26,28,29,30,31,33,36,38,39,39,38,38,37,35,32,29,28,28,28,28,26,26,29,33,37,42,45,51,55,57,56,53,50,43,41,39,38,40,44,48,51,52,53,53,52,50,51,53,55,55,54,53,52,53,55,57,58,63,66,70,73,74,72,69,67,56,54,54,59,70,86,102,112,120,117,109,96,81,72,69,69,73,82,95,104,108,109,113,117,117,114,108,97,86,78,76,76,92,114,138,154,167,173,163,147,126,104,84,76,72,67,70,78,84,90,96,98,98,95,86,76,67,63,58,57,62,69,75,79,75,72,66,58,53,53,58,63,73,85,99,108,115,121,119,112,99,82,65,58,53,51,63,78,94,103,117,130,142,152,161,166,163,153,137,121,104,89,77,71,62,59,54,50,49,49,49,49,53,54,56,56,55,53,50,48,43,42,41,42,43,44,44,44,50,53,56,56,53,49,47,46,41,43,45,44,43,46,52,58,65,70,73,73,73,71,61,51,45,45,47,49,51,50,46,43,34,32,29,28,31,37,44,48,58,63,66,64,60,56,47,39,33,31,33,43,59,80,106,126,147,151,147,127,99,72,48,33,32,38,49,60,66,64,57,51,40,38,38,41,47,51,51,49,44,39,31,24,21,22,26,29,34,35,36,36,37,36,36,35,35,32,28,24,24,26,29,32,39,40,41,38,34,29,27,27,27,30,35,38,39,37,34,32,28,29,30,32,34,36,38,39,40,40,41,42,43,41,37,33,25,22,19,18,21,25,27,28,31,31,30,29,28,28,29,29,30,29,27,23,21,25,34,41,53,61,70,73,71,68,67,68,79,85,95,105,109,106,98,91,73,68,60,52,46,44,44,44,45,47,48,47,43,41,40,40,39,39,39,38,37,34,32,30,28,28,27,26,26,27,28,29,35,37,40,44,48,51,53,54,48,46,44,40,34,29,24,22,18,18,19,20,21,23,24,24,26,26,26,25,25,24,23,22,21,21,21,21,21,21,21,21,21,20,19,18,18,18,19,19,20,20,21,22,24,25,26,27,26,26,26,26,24,23,21,21,17,17,15,14,13,12,12,12,11,11,10,10,10,10,9,9,8,8,8,8,8,8,8,8,7,7,7,7,7,7,7,7,8,7,6,5,5,5,5,6,6,6,6,5,5,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 7,7,7,8,8,9,9,9,11,11,11,11,11,11,11,11,12,12,11,11,11,10,10,10,12,12,12,12,12,13,15,15,13,13,14,15,16,18,18,19,18,18,19,20,21,22,23,24,25,25,27,29,31,34,37,39,38,39,40,39,37,34,30,28,29,29,28,26,25,27,32,35,41,44,50,54,56,54,50,47,39,38,37,38,42,47,53,57,59,60,60,58,56,55,57,58,56,54,52,50,50,51,53,54,57,61,68,74,77,78,76,75,68,65,61,60,67,79,92,101,116,114,107,94,79,69,64,64,67,75,88,98,103,106,112,119,112,109,102,91,80,75,74,76,98,121,146,163,176,182,170,153,133,109,88,79,74,68,70,78,80,87,94,97,99,97,88,78,68,63,57,56,59,66,73,76,73,71,65,57,51,51,56,61,70,83,96,105,115,123,123,118,112,93,74,64,55,49,57,71,87,98,114,129,140,146,151,154,146,135,119,103,90,77,69,66,62,60,55,51,48,45,44,43,48,51,54,58,59,57,55,53,44,42,40,40,42,44,45,45,50,53,56,56,53,49,47,46,40,41,40,38,35,36,41,46,53,58,61,63,65,65,56,46,44,45,46,48,49,48,44,40,30,28,26,26,29,34,40,44,52,57,60,58,55,52,46,38,34,31,33,42,57,79,107,129,154,159,156,135,106,77,51,35,34,41,53,64,70,68,61,54,45,44,44,48,54,57,55,53,45,39,32,25,23,25,30,33,41,42,44,45,44,42,39,38,35,32,27,22,21,22,25,28,35,37,39,38,34,31,28,28,26,29,34,38,39,38,34,32,30,31,33,35,38,40,42,43,41,40,40,40,41,39,36,33,25,22,19,18,21,24,27,27,31,31,31,30,30,30,29,29,31,30,27,22,20,24,33,41,55,63,72,76,75,73,74,76,93,99,109,117,119,112,100,91,72,67,58,48,41,37,36,37,37,38,39,38,36,35,36,37,39,40,41,41,39,36,33,31,30,28,26,24,24,25,27,28,36,38,42,47,52,56,58,60,52,51,47,42,36,29,23,19,17,17,18,20,22,25,27,28,30,30,30,29,28,27,25,24,20,20,20,20,20,20,20,20,20,19,18,17,17,17,18,18,19,19,20,21,23,24,25,25,24,24,24,24,23,22,20,20,16,16,14,13,13,13,13,13,11,11,10,10,10,10,9,9,8,8,8,8,8,8,8,8,7,7,7,7,7,7,7,7,8,7,6,5,5,5,5,6,6,6,6,5,5,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 8,8,7,8,9,10,11,12,13,12,12,11,11,11,12,12,14,14,14,14,14,14,14,14,13,13,13,14,14,14,14,14,14,15,16,17,18,20,21,21,21,20,19,18,18,19,21,22,26,25,26,26,28,31,34,36,37,38,40,40,38,34,30,28,26,25,25,25,26,29,33,35,43,47,51,53,51,48,45,44,41,41,44,49,56,62,65,66,67,65,64,62,61,61,62,63,59,61,58,53,50,50,47,43,49,49,56,69,78,81,82,85,79,76,71,67,69,77,88,97,102,100,95,88,80,72,66,62,75,81,92,103,111,116,117,117,116,107,95,85,76,70,73,80,103,125,153,171,179,175,162,150,123,109,95,84,76,69,68,71,74,80,89,96,99,96,90,86,78,71,62,58,59,63,66,68,65,65,63,57,51,48,50,53,64,70,80,92,104,113,119,122,111,99,81,65,56,57,63,68,83,99,118,130,137,139,134,128,116,103,89,81,73,64,61,65,59,59,57,53,48,44,41,40,42,50,59,64,67,68,63,57,44,39,35,37,46,53,56,55,60,53,49,49,49,47,48,52,50,50,46,38,35,38,40,39,44,46,49,52,53,51,49,47,47,45,43,44,45,44,40,36,27,26,24,24,28,33,40,44,49,51,53,55,55,52,49,47,39,33,30,35,48,72,103,128,151,162,163,143,110,78,54,41,37,44,56,67,74,74,68,63,53,51,51,55,62,64,61,57,47,43,36,29,24,26,31,35,45,49,54,56,53,48,43,41,36,32,27,22,20,20,23,25,29,31,33,34,34,31,28,25,29,31,33,35,36,37,36,36,33,35,40,44,47,47,47,46,46,44,41,39,38,36,33,30,28,25,22,19,19,21,24,26,29,32,35,35,32,29,28,27,28,25,24,24,22,22,30,40,51,61,74,81,82,84,90,96,100,113,126,129,126,119,103,88,74,64,50,41,37,34,30,26,31,30,29,29,29,30,32,33,36,41,44,42,42,42,38,32,31,29,24,21,20,22,24,26,30,35,43,51,56,59,58,58,50,48,45,40,34,28,23,21,15,17,21,25,29,33,35,36,38,37,35,32,30,27,25,24,24,23,21,19,17,16,16,16,17,17,16,16,16,16,16,16,15,16,17,19,21,22,22,22,21,21,20,19,18,18,19,19,17,16,15,14,13,12,12,12,13,13,12,11,10,10,9,8,10,10,9,9,9,8,8,8,6,6,6,6,6,6,6,6,7,7,7,6,6,5,5,5,5,5,5,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 8,8,8,8,9,10,11,12,14,13,13,12,12,12,13,14,16,16,16,16,16,16,16,16,15,15,15,15,15,16,16,16,16,17,17,18,19,20,21,22,22,21,20,19,19,20,21,22,24,24,25,26,27,29,31,32,34,35,36,36,35,31,28,25,25,24,24,26,28,32,36,38,44,48,51,53,51,49,48,47,46,47,50,56,63,68,70,70,69,67,64,62,61,62,64,66,66,68,67,61,57,55,50,44,45,45,50,62,72,77,81,86,85,83,79,76,76,82,90,96,100,97,92,85,78,72,67,65,76,83,95,107,116,120,121,120,115,106,94,84,76,71,75,83,104,123,147,161,165,160,147,135,114,102,90,81,74,68,67,69,74,79,87,95,98,96,93,90,82,75,68,64,64,66,68,68,69,68,65,61,56,54,54,55,59,63,70,79,90,100,109,113,112,103,87,70,58,55,59,64,79,95,114,127,132,131,124,116,103,90,77,70,63,56,55,59,59,59,58,55,51,47,44,43,47,55,64,70,75,77,70,61,46,40,35,38,47,55,59,60,62,54,47,46,46,47,52,58,60,62,59,51,46,46,45,41,39,40,42,43,44,45,44,44,47,45,44,45,46,44,39,35,27,26,25,26,30,35,41,45,48,50,52,55,56,56,55,54,43,36,31,34,45,67,97,121,148,158,160,140,107,76,52,39,41,49,61,73,79,78,73,68,59,57,56,59,63,64,60,55,46,42,36,29,26,27,33,38,46,51,56,58,56,50,45,43,36,33,28,23,21,22,24,25,28,30,33,35,35,34,31,30,30,31,32,33,34,35,36,36,36,39,45,49,52,52,50,49,46,43,39,37,36,34,31,29,27,24,21,19,20,22,25,27,31,33,36,35,32,29,27,27,27,24,23,24,23,23,31,40,55,65,78,86,88,90,96,101,106,117,126,127,123,114,99,85,65,55,43,35,31,30,26,23,26,25,24,23,23,25,27,28,35,41,45,45,45,45,41,35,33,31,26,23,22,23,25,26,31,35,42,49,53,55,55,54,49,47,43,38,32,27,23,21,18,20,24,29,34,38,40,41,39,38,36,33,31,28,26,25,23,22,20,18,16,14,14,13,14,14,14,14,14,14,14,14,13,14,15,17,18,19,19,20,19,18,18,17,17,17,18,18,17,16,15,14,13,12,12,12,13,13,12,12,11,10,9,9,10,10,10,9,9,9,8,8,6,6,6,6,6,6,6,6,7,7,7,6,6,5,5,5,5,5,5,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 8,8,8,8,9,10,12,12,15,15,14,14,14,15,15,16,19,19,19,19,19,19,19,19,18,18,18,18,18,18,18,18,19,20,20,20,21,22,22,22,25,24,23,22,21,21,21,21,23,24,25,26,27,27,27,27,30,31,32,32,30,27,24,22,22,22,24,26,30,35,39,42,46,49,52,53,52,51,51,52,54,55,60,66,71,74,73,71,68,65,62,59,60,63,67,70,72,76,77,73,68,63,55,47,43,40,42,52,62,70,79,86,89,89,88,86,85,87,91,94,97,93,88,81,75,71,68,66,75,84,99,113,123,127,127,125,116,106,94,85,77,74,80,88,108,123,139,147,146,139,126,114,102,92,83,78,74,69,69,71,75,79,86,92,97,98,97,96,89,85,80,76,74,74,73,72,75,73,70,68,68,67,66,65,62,61,62,66,74,85,95,102,107,102,92,76,61,55,57,62,79,96,117,129,134,131,121,112,94,83,71,64,58,54,53,56,59,60,60,60,58,56,53,52,57,63,71,79,86,87,76,63,47,41,36,38,49,60,67,69,66,56,45,41,42,47,58,69,75,78,78,70,61,55,49,42,36,35,35,35,36,39,42,44,48,48,47,48,46,43,37,33,27,27,27,29,33,38,43,46,48,49,52,55,58,61,63,64,50,42,34,33,41,59,87,109,137,147,149,131,102,74,52,40,45,53,66,77,82,80,75,71,65,63,61,63,64,63,57,53,45,42,37,30,27,29,34,39,46,52,58,62,59,54,49,46,37,35,30,27,25,25,26,27,27,30,33,37,38,38,36,34,30,30,30,30,31,33,35,37,40,44,50,56,58,57,54,52,45,41,37,34,33,31,30,28,25,24,21,20,21,23,27,29,33,35,37,36,32,28,26,25,24,23,23,24,24,24,31,41,57,67,81,90,93,96,100,104,108,115,120,119,112,101,87,75,55,47,37,30,28,27,25,24,23,22,20,19,19,21,24,25,35,42,48,49,50,50,45,39,36,33,29,26,24,24,25,26,32,35,40,44,47,48,47,46,45,43,39,35,30,26,24,23,23,25,29,34,38,42,45,46,40,38,36,34,31,28,26,25,22,21,18,16,14,12,11,11,11,11,11,11,11,12,12,12,11,12,12,13,14,15,16,16,16,15,15,14,14,15,16,16,16,16,14,13,12,12,12,13,13,13,12,12,11,10,10,10,11,11,10,10,10,9,9,9,7,7,7,7,7,7,7,7,7,7,7,6,6,5,5,5,5,5,5,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 9,8,8,9,9,11,12,13,17,16,16,16,16,17,17,18,21,21,21,21,21,21,21,21,21,21,21,21,21,20,20,20,22,22,22,22,23,23,23,23,27,26,25,24,23,22,22,22,23,25,26,28,28,27,26,25,26,27,28,27,26,24,21,19,19,20,23,27,32,38,42,45,48,49,51,52,51,52,53,55,61,63,67,72,75,74,69,65,60,57,54,52,55,61,67,72,74,81,85,83,79,73,63,54,46,40,38,44,54,63,73,82,87,90,92,93,92,92,93,94,96,92,86,78,72,68,65,65,72,82,98,114,126,131,131,129,118,108,96,88,82,80,87,96,114,124,134,135,129,120,108,97,90,82,77,76,75,72,72,75,78,81,86,92,97,100,102,103,99,97,94,91,88,85,82,80,81,79,78,80,85,88,87,85,79,73,66,63,65,73,83,90,95,96,92,80,65,57,59,63,77,95,116,130,136,135,126,117,101,93,82,74,68,63,60,60,61,62,64,67,70,71,71,70,71,76,81,88,94,92,78,62,47,40,35,39,52,66,76,80,71,58,44,36,36,45,63,79,88,94,96,87,75,63,51,42,36,34,32,32,35,40,46,50,53,53,53,51,48,42,36,31,27,28,30,34,38,42,46,48,50,51,53,56,61,66,70,73,62,52,41,37,40,53,77,97,120,130,133,118,93,70,52,42,45,54,66,76,79,77,73,70,65,64,63,64,63,60,55,50,46,43,37,31,27,28,32,36,45,51,59,63,61,56,51,48,40,38,35,32,30,30,31,31,30,32,36,39,40,39,38,36,31,30,28,27,29,32,35,37,42,47,53,59,60,58,54,50,42,39,34,31,30,29,28,27,25,24,22,21,22,25,28,30,34,36,38,36,32,28,25,24,23,22,23,26,25,26,32,41,56,66,80,90,94,96,99,101,102,104,105,101,93,81,69,60,49,43,36,32,30,30,30,28,25,23,21,20,20,22,25,27,35,43,50,52,54,54,49,42,38,35,31,28,25,25,26,26,30,32,35,37,39,39,38,38,39,37,34,32,29,28,27,27,28,30,33,36,39,42,43,44,37,36,34,31,29,26,24,23,22,21,19,16,14,13,12,11,11,11,11,12,12,12,12,13,12,12,12,12,13,14,15,15,13,13,12,12,12,13,14,15,15,15,14,13,12,12,12,13,13,13,13,12,12,11,11,10,12,11,11,11,10,10,10,10,8,8,8,8,7,7,7,7,7,7,7,6,6,5,5,5,5,5,5,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 9,9,9,9,10,11,12,13,17,17,17,17,17,18,19,20,23,23,23,23,23,23,23,23,23,23,23,22,22,21,21,21,23,23,23,24,24,24,24,24,28,28,28,27,26,25,24,23,26,27,28,29,30,29,27,26,26,26,26,26,25,23,21,20,19,21,24,29,35,40,45,47,49,50,50,50,49,50,54,57,65,66,69,72,72,67,60,54,48,45,42,42,47,55,63,69,73,82,90,92,90,85,75,65,52,44,39,42,48,55,65,74,82,86,91,95,96,96,96,97,96,92,85,77,70,65,62,61,68,77,92,108,120,126,128,127,118,109,100,93,89,88,96,105,118,126,130,126,118,110,98,89,81,75,72,73,74,73,74,77,82,84,87,91,96,101,105,107,107,107,107,104,100,95,91,89,87,86,87,93,103,110,113,113,105,96,83,70,65,66,71,76,85,89,88,80,67,58,57,60,69,86,106,121,129,132,128,121,116,111,103,94,86,80,72,67,64,65,67,74,82,88,90,91,90,92,94,97,99,95,79,62,46,40,36,41,56,72,84,89,75,60,43,33,32,43,65,84,100,108,110,101,84,68,54,43,36,35,33,34,39,46,53,58,62,62,60,56,49,42,35,31,29,31,34,38,42,45,47,48,53,53,56,59,65,71,76,80,74,63,51,44,42,50,69,87,107,115,116,102,81,62,48,39,46,54,65,72,73,70,68,66,61,61,62,62,61,57,52,48,45,43,37,30,26,25,29,32,43,48,56,60,59,55,51,49,44,42,40,38,37,36,36,36,35,37,39,41,41,39,37,35,31,30,27,26,28,31,35,37,43,47,52,57,57,54,49,45,38,35,32,30,29,29,28,26,25,24,23,23,24,26,29,30,34,36,37,35,31,26,23,22,23,23,25,28,28,27,33,41,55,64,78,88,92,93,93,94,90,88,85,81,73,63,54,50,46,43,40,37,36,35,34,33,27,25,23,21,21,24,27,29,36,44,51,53,54,54,49,42,37,35,32,28,26,25,25,26,26,27,29,30,31,31,31,31,33,32,32,31,31,31,32,32,31,32,33,35,36,36,36,36,31,30,29,27,25,23,22,21,23,22,20,18,16,15,15,14,14,14,15,15,16,16,16,17,15,14,14,13,13,14,15,16,13,12,12,11,12,12,13,13,14,14,13,12,12,12,12,13,13,13,13,12,12,12,12,11,12,12,12,12,11,11,11,10,10,10,9,9,8,8,7,7,7,7,7,6,6,5,5,5,5,5,5,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 9,9,9,9,10,11,13,13,17,17,17,17,18,19,20,21,23,23,23,23,23,23,23,23,24,23,23,22,21,21,20,20,23,23,23,24,25,25,25,26,29,29,29,29,28,27,26,25,28,29,29,30,30,30,30,29,27,28,28,27,26,25,24,23,23,25,28,33,39,44,47,49,50,50,48,46,45,47,52,56,63,64,66,67,65,58,49,42,36,34,32,33,38,46,54,60,69,79,90,95,96,92,82,72,58,49,41,42,45,50,58,65,76,80,86,91,94,96,98,99,95,91,85,77,70,64,61,59,65,72,84,96,107,113,116,117,113,106,100,98,96,98,106,116,124,130,132,127,119,111,102,94,84,77,73,74,75,74,75,78,84,85,87,91,95,99,103,105,109,111,112,110,105,100,97,96,92,93,97,105,117,129,137,142,133,122,104,86,72,65,63,63,78,81,82,76,66,56,53,53,63,78,94,106,116,124,125,123,122,123,120,113,105,97,84,73,67,66,69,77,89,99,104,106,107,108,106,103,100,94,79,65,48,42,38,44,59,75,86,91,78,63,44,31,29,40,64,85,108,116,118,107,88,70,55,44,37,37,38,41,48,56,63,68,73,72,68,61,51,42,35,33,31,34,39,43,46,48,48,48,53,54,58,63,70,77,83,86,84,73,61,51,46,49,63,77,96,101,99,85,67,52,42,35,47,53,61,65,64,62,61,61,57,58,60,60,58,53,48,45,41,39,34,28,24,23,26,29,38,44,50,54,54,51,49,48,45,45,44,43,41,40,39,38,38,39,42,43,42,39,36,33,31,30,28,27,28,31,35,37,42,45,49,51,50,46,41,37,34,32,30,30,31,30,28,26,26,25,25,24,25,27,28,29,32,34,35,34,30,25,22,21,24,25,28,32,31,29,33,41,54,63,75,85,89,88,85,84,76,71,67,63,57,50,46,47,44,44,45,44,42,39,36,34,28,26,23,21,21,24,28,30,38,44,50,51,51,50,45,39,34,33,30,27,25,25,25,25,23,24,24,25,26,27,28,28,31,32,33,34,34,34,34,33,30,30,30,30,30,29,28,28,25,25,24,23,22,21,21,20,22,21,20,19,18,18,18,18,18,18,19,19,20,21,21,22,19,18,16,15,14,15,16,17,15,14,13,12,12,12,12,12,13,13,12,12,12,12,13,13,13,13,13,13,13,12,12,12,13,13,13,12,12,12,11,11,11,11,10,10,9,8,8,7,7,7,7,6,6,5,5,5,5,5,5,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 10,9,9,10,10,12,13,14,17,17,17,17,18,19,20,21,23,23,23,23,23,23,23,23,23,23,22,21,20,19,19,18,21,22,23,24,25,26,27,27,28,29,30,31,31,30,29,28,29,29,28,29,29,30,31,32,31,31,30,30,29,28,27,27,29,31,35,39,44,48,50,52,50,49,46,43,42,44,49,54,58,58,59,60,58,51,42,36,30,28,26,26,30,37,44,49,60,71,83,89,91,89,79,70,58,50,43,42,44,47,52,58,67,71,77,81,85,88,92,95,91,88,84,78,72,66,62,59,66,69,76,84,91,97,100,102,102,98,97,99,102,107,116,127,134,140,142,137,130,125,118,111,99,91,84,82,81,78,78,81,84,85,86,89,92,95,98,100,105,107,110,109,104,100,98,98,96,99,106,114,126,140,153,162,158,146,127,105,86,71,62,58,69,71,73,71,64,57,52,50,59,69,80,87,96,107,113,114,118,124,128,125,120,111,95,81,69,67,68,75,89,102,109,112,113,114,109,101,95,88,77,66,52,46,42,47,60,74,84,87,79,64,45,31,27,37,61,82,107,115,117,104,83,65,50,41,41,43,47,53,61,69,76,80,84,82,76,65,52,42,36,35,34,37,42,47,50,50,48,47,50,53,58,66,75,83,90,93,90,80,68,57,49,48,58,70,81,85,82,69,55,47,41,37,44,49,55,55,52,50,51,53,56,58,60,60,56,50,44,41,34,33,29,25,22,22,26,29,34,38,44,47,47,46,46,46,45,45,45,44,43,41,40,39,38,40,42,43,42,39,36,33,31,30,29,29,30,32,35,37,42,44,46,46,44,39,34,31,29,29,29,31,33,32,30,27,27,27,26,26,26,27,28,28,30,32,33,32,28,24,22,21,26,27,31,35,33,31,34,40,50,58,70,79,82,79,74,70,62,55,49,48,45,40,41,46,46,49,52,53,50,44,39,36,31,28,25,23,23,26,30,33,40,45,48,47,46,46,41,34,31,29,28,26,24,24,24,24,22,22,22,23,25,27,29,30,33,35,37,38,38,36,33,31,25,26,26,26,25,24,23,23,21,21,21,21,21,21,21,21,20,20,19,19,19,19,20,20,21,21,22,23,24,24,25,25,21,19,17,15,15,16,17,18,18,17,15,14,13,12,12,12,13,12,12,11,11,12,13,13,13,13,13,13,13,13,13,13,14,14,13,13,13,12,12,12,12,12,11,10,9,8,8,7,7,7,7,6,6,5,5,5,5,5,5,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 10,10,10,10,11,12,13,14,16,16,16,17,18,19,20,21,22,22,22,22,22,22,22,22,22,22,21,20,19,18,18,17,20,21,22,23,25,26,27,28,28,29,31,32,32,31,30,29,29,28,27,27,28,30,32,33,33,33,32,32,31,31,30,30,34,36,39,43,47,51,53,54,51,49,45,41,39,42,47,52,53,54,55,55,54,48,40,34,29,27,24,24,26,31,37,41,51,62,75,81,84,81,72,63,57,49,43,42,44,45,49,54,60,63,68,72,75,80,85,88,87,86,83,79,73,68,63,61,67,69,71,75,80,85,89,91,94,92,93,99,105,112,123,133,143,149,152,148,143,139,133,127,115,105,96,92,88,83,82,84,83,84,85,87,89,92,94,96,100,103,106,105,101,98,97,98,99,103,110,119,129,144,160,172,173,162,143,120,97,78,65,59,60,62,64,66,64,60,55,52,51,58,64,68,76,87,96,99,112,122,131,131,128,120,103,87,71,67,66,73,87,100,109,112,112,113,107,97,87,81,73,66,56,50,45,49,61,73,80,83,80,65,46,32,26,35,59,80,103,110,111,97,76,58,44,36,45,49,55,63,72,80,86,90,90,88,80,67,53,42,37,36,35,39,44,49,51,50,48,46,46,50,58,67,78,87,94,98,92,83,71,60,51,47,55,65,68,71,69,59,50,46,45,44,40,44,48,47,42,40,42,46,57,59,61,60,55,48,42,38,29,28,25,22,21,22,27,31,31,35,40,42,43,43,44,44,43,44,44,44,43,41,39,38,37,39,41,43,42,40,37,35,30,30,30,30,31,33,35,37,43,43,44,43,40,35,30,27,26,27,29,32,34,34,30,27,29,28,27,26,26,26,27,27,28,30,32,31,27,24,21,20,28,29,33,36,35,31,34,40,45,53,64,72,74,70,64,59,51,43,37,38,36,34,37,45,49,54,59,60,56,49,42,38,34,32,28,25,26,29,33,36,41,45,47,45,43,42,38,32,28,27,26,24,23,23,23,23,22,22,22,23,25,28,31,32,36,38,40,41,40,36,31,28,22,22,23,23,23,22,22,21,19,19,20,20,21,22,22,22,19,18,18,18,19,20,21,21,22,22,23,24,25,26,27,27,22,20,17,15,14,15,17,18,20,19,17,15,14,13,12,12,12,12,11,11,11,12,13,13,13,13,13,13,13,13,13,13,14,14,14,13,13,13,12,12,13,12,11,11,10,9,8,8,7,7,7,6,6,5,5,5,5,5,5,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 9,9,10,11,11,12,13,13,16,15,15,16,17,18,20,21,20,20,20,20,20,20,20,20,21,20,18,16,15,14,13,13,17,17,18,20,21,22,23,24,27,28,29,30,31,32,33,33,33,31,27,24,24,26,29,32,31,32,33,34,35,36,36,36,38,38,40,44,49,52,53,52,50,48,44,42,41,43,45,47,50,51,51,49,45,41,38,38,33,32,31,30,31,33,36,37,48,53,59,64,66,64,61,58,48,46,44,45,48,51,53,53,53,57,61,63,65,68,74,78,82,82,82,80,78,76,74,74,69,74,76,75,75,77,76,72,81,84,89,96,106,117,129,137,149,157,162,159,157,157,154,148,142,131,116,106,100,97,93,90,93,91,88,88,88,88,86,85,90,92,93,91,89,89,92,96,95,100,108,118,130,145,161,172,167,166,153,129,105,87,71,58,59,61,63,62,58,54,52,51,50,52,54,53,53,57,67,75,91,111,129,134,135,131,114,95,82,75,68,69,79,92,101,104,102,99,94,85,76,70,67,66,58,56,54,56,62,70,77,81,73,61,45,33,29,36,54,72,96,100,99,85,64,45,37,36,39,48,62,74,81,87,93,97,90,88,82,69,55,43,38,36,40,43,48,51,51,48,44,42,47,53,61,67,77,89,96,97,92,82,69,58,49,44,47,55,58,59,58,55,50,45,43,42,40,37,36,35,33,32,38,47,51,58,62,57,51,44,35,27,27,25,21,18,19,22,27,30,32,34,35,36,35,35,37,39,42,42,43,42,41,39,37,36,36,38,41,43,43,41,39,37,33,34,34,35,36,37,37,38,40,39,39,37,34,30,27,25,30,31,34,36,36,36,34,33,33,33,34,33,31,28,24,22,27,25,25,26,25,21,23,28,29,37,42,42,41,42,40,37,42,48,57,67,70,66,57,50,42,37,31,26,26,31,38,42,56,59,62,63,59,51,42,36,30,29,29,30,32,36,40,43,46,46,45,43,39,34,29,26,23,24,25,25,26,25,25,24,26,26,26,27,29,32,35,37,39,40,41,40,37,32,26,22,18,17,17,17,18,20,22,23,23,21,20,21,22,21,19,17,16,16,17,19,21,22,24,24,21,22,24,25,26,26,25,24,24,23,20,18,17,18,19,20,21,21,20,19,18,16,14,13,14,14,13,13,13,13,14,14,16,15,14,13,13,13,13,13,17,17,16,15,13,12,11,11,10,11,11,11,11,10,9,8,7,7,7,6,6,5,5,5,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 9,9,10,11,11,12,13,13,15,15,15,15,16,17,18,19,19,19,19,19,19,19,19,19,20,19,17,15,14,13,13,13,15,16,17,18,19,20,21,22,26,26,28,29,30,32,33,33,32,30,27,25,24,25,27,28,30,31,33,35,36,37,37,37,40,40,42,46,51,54,54,53,50,47,44,42,42,43,45,47,48,50,51,50,47,44,43,43,47,46,44,42,40,39,39,39,49,52,56,60,60,58,54,52,46,45,45,48,52,55,56,56,53,55,57,57,57,59,64,68,75,76,78,80,83,86,89,92,87,90,89,83,78,76,73,69,81,85,90,97,106,119,131,140,153,162,168,167,167,168,166,161,158,148,134,123,116,112,109,106,107,104,99,95,92,87,82,79,78,79,80,79,79,83,89,95,97,101,107,115,124,137,151,160,157,156,146,125,105,90,76,65,61,63,64,63,59,56,54,54,48,50,50,48,46,48,55,61,79,100,119,128,132,132,118,102,87,78,68,65,71,80,87,91,91,89,83,76,69,65,64,65,65,62,59,59,62,67,72,75,71,59,45,34,30,35,52,68,85,88,87,74,54,37,31,31,41,51,65,75,82,86,90,93,89,87,80,67,52,41,37,36,42,45,49,52,50,47,43,41,46,53,61,67,76,87,93,93,90,80,66,55,44,38,40,47,53,54,55,54,49,45,42,41,39,36,33,32,29,29,36,46,53,59,61,56,49,42,34,26,26,24,21,20,21,25,29,32,32,33,33,32,30,31,34,36,41,41,41,41,39,37,34,32,35,38,41,43,44,43,41,39,36,36,37,38,38,39,39,39,40,39,38,36,34,31,28,26,30,32,36,38,39,38,36,34,34,35,35,35,32,29,25,22,24,22,22,25,24,22,25,30,40,47,52,51,47,45,40,34,38,43,51,58,62,59,51,45,40,36,31,27,27,32,38,43,54,56,59,59,55,48,40,34,30,30,31,33,36,39,42,44,44,44,42,39,35,31,27,25,23,24,25,27,27,27,27,27,28,27,28,29,31,34,37,38,40,40,40,38,34,29,24,21,18,18,19,20,22,24,26,27,27,25,24,23,23,22,20,17,16,17,18,19,21,22,23,24,21,22,24,25,25,25,24,24,23,22,20,18,18,19,20,22,22,22,22,21,19,18,16,15,16,16,16,15,15,16,16,16,17,16,15,14,13,13,13,13,17,17,16,14,13,12,11,11,10,10,11,11,10,9,9,8,7,7,7,6,6,5,5,5,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 9,9,10,11,11,12,13,13,14,13,13,14,14,15,17,17,17,17,17,17,17,17,17,17,18,17,15,14,13,12,12,12,13,13,14,15,16,17,18,18,23,23,25,26,28,30,31,32,31,30,28,26,24,23,23,23,28,30,32,34,36,37,38,39,43,43,44,48,52,54,55,54,49,47,44,42,41,43,45,47,47,49,52,52,52,51,52,53,61,60,59,57,55,52,50,48,53,55,56,57,56,52,48,46,45,46,48,53,58,61,61,60,56,55,53,50,48,50,54,58,65,68,72,77,84,93,103,110,114,117,114,105,95,89,83,77,83,85,90,96,105,117,129,137,150,158,166,170,172,175,175,172,171,163,151,140,133,129,126,125,125,121,116,110,103,94,85,79,73,71,68,66,68,74,83,90,98,101,106,112,119,128,137,143,141,140,133,117,102,90,81,74,64,65,66,65,62,59,58,59,55,57,57,54,50,49,52,56,68,87,108,120,129,132,123,110,95,85,71,62,62,67,72,75,76,73,69,63,59,58,61,65,72,69,66,62,61,63,65,67,65,56,45,37,32,34,47,61,73,75,73,61,44,31,27,28,44,54,66,75,79,80,82,84,83,80,73,61,48,39,36,36,43,47,52,53,50,45,41,40,46,54,61,67,75,84,88,87,86,75,61,48,37,29,31,38,46,49,51,51,48,45,42,41,39,34,30,27,25,26,35,45,56,61,61,55,47,40,32,25,24,23,22,23,25,28,32,34,36,35,33,30,28,30,34,37,44,44,43,42,39,36,32,30,34,37,41,45,46,46,45,43,40,41,42,42,42,42,41,41,40,40,38,36,33,31,30,29,31,34,38,41,42,41,38,36,36,37,38,37,35,31,26,23,20,19,20,23,24,24,29,36,49,57,63,61,56,51,42,35,36,38,43,49,52,50,45,40,36,34,30,28,29,33,39,42,50,52,53,53,50,43,37,32,30,31,34,37,40,43,44,45,43,41,38,35,31,28,26,25,24,25,27,29,30,30,29,29,29,28,29,29,31,34,37,39,39,38,36,33,29,25,22,20,20,21,23,26,29,32,34,35,34,32,29,27,26,24,21,19,18,18,19,20,21,22,23,23,21,22,23,24,24,24,24,23,22,21,20,19,19,21,22,23,24,24,24,23,22,21,19,18,19,19,19,19,19,19,19,19,18,17,16,14,13,13,13,13,17,16,15,14,13,12,11,10,9,10,10,10,10,9,8,7,7,7,7,6,6,5,5,5,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 9,9,10,11,11,12,13,13,13,12,12,12,13,14,15,15,15,15,15,15,15,15,15,15,15,15,14,13,12,12,12,12,11,12,12,13,14,15,16,16,18,19,21,22,24,26,28,28,29,29,28,27,25,23,21,20,26,28,30,33,36,38,40,40,45,45,46,48,52,53,53,52,48,46,43,41,41,42,45,47,47,50,54,56,57,59,62,65,68,69,71,72,71,70,68,66,63,63,62,60,57,53,49,47,50,52,55,60,65,66,65,63,59,56,51,47,45,47,51,55,59,62,66,71,80,94,110,121,134,139,140,131,119,110,100,93,87,89,92,95,101,110,121,128,136,143,153,160,165,169,172,172,172,167,159,149,142,139,139,140,141,139,134,129,121,110,98,91,80,75,67,62,62,67,76,82,94,98,104,111,116,121,125,127,124,122,115,104,93,85,79,77,69,70,70,69,66,64,64,64,67,68,69,67,63,61,61,62,67,83,101,114,124,128,123,115,104,92,77,65,60,61,64,66,63,61,57,52,51,54,60,65,74,73,71,66,62,59,58,58,59,52,44,38,33,33,42,53,65,66,64,54,41,31,30,32,45,54,65,71,72,70,69,69,70,68,63,53,42,36,35,37,44,49,54,54,49,44,40,39,47,55,63,69,76,83,84,82,80,69,55,42,31,24,26,32,41,45,49,50,48,45,43,42,39,34,28,25,22,24,34,46,58,62,62,54,46,40,33,26,24,24,24,26,29,32,35,37,41,39,36,33,32,35,41,46,51,50,48,45,41,36,33,31,35,38,42,47,50,50,50,49,46,46,46,46,45,45,44,43,42,41,39,36,34,33,31,31,32,35,39,43,44,42,39,37,38,39,41,41,38,34,29,25,20,18,19,23,26,28,35,43,53,63,71,71,66,59,48,39,37,37,39,42,44,44,41,38,32,31,30,29,31,35,38,41,47,48,48,48,44,40,35,31,30,32,36,40,43,45,45,45,42,40,36,32,29,28,27,28,28,30,31,33,33,31,30,28,28,28,27,28,30,33,35,37,34,33,31,28,25,23,22,21,24,26,30,34,38,41,43,44,42,39,35,32,30,27,24,21,21,21,21,22,22,22,23,23,22,22,22,23,23,23,23,22,20,20,20,20,21,22,24,25,26,26,26,26,25,24,23,22,21,21,22,22,22,22,21,21,20,19,18,16,14,13,13,13,16,16,15,14,13,11,11,10,9,9,9,9,9,8,7,7,7,7,7,6,6,5,5,5,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 9,9,10,11,11,12,13,13,13,12,12,11,12,13,13,14,13,13,13,13,13,13,13,13,14,13,13,12,12,12,13,13,12,12,13,13,14,15,15,15,16,16,17,19,21,23,24,24,27,27,27,27,25,23,21,20,25,27,30,34,38,41,43,44,48,47,47,49,51,51,49,48,45,43,41,39,39,41,44,46,48,51,55,59,62,66,70,74,76,79,82,85,86,86,85,83,76,74,72,68,64,61,58,56,60,61,64,68,71,71,68,65,60,55,49,45,45,48,52,55,55,57,61,66,76,94,115,130,145,154,159,152,139,125,112,103,97,98,98,99,100,105,111,116,121,126,136,145,152,157,162,167,166,165,161,154,148,147,151,155,157,156,154,150,143,130,117,108,92,84,73,65,62,66,72,76,86,90,99,107,113,116,115,113,108,103,96,88,79,73,73,74,74,76,77,75,72,70,69,69,74,76,79,80,79,77,75,74,76,86,99,109,117,121,119,114,106,97,83,70,63,60,61,62,58,56,52,48,47,52,59,65,72,74,74,71,64,57,53,51,51,47,43,39,34,32,38,47,58,59,57,50,41,35,36,38,46,53,61,63,61,56,53,53,54,54,52,45,37,33,34,37,44,49,55,55,49,44,41,41,49,58,67,73,79,84,83,79,74,63,50,39,28,22,26,32,40,43,47,48,47,45,44,43,40,35,29,25,22,24,35,47,59,64,63,56,48,42,36,29,27,27,27,29,31,34,37,39,43,42,42,41,42,47,54,59,62,59,54,47,41,36,32,30,37,40,45,50,54,55,55,54,51,50,49,48,46,46,45,45,44,43,41,39,37,35,33,32,31,34,38,41,43,42,39,38,39,41,43,44,42,37,32,29,23,21,22,26,30,33,42,51,63,73,82,82,77,67,54,43,37,36,35,36,38,38,37,35,29,30,31,33,35,37,38,39,45,44,44,42,40,36,33,31,30,33,37,41,43,44,43,43,40,38,34,31,29,30,31,32,35,36,37,37,35,32,29,26,25,25,25,25,27,29,32,33,29,28,26,25,24,24,25,25,30,33,38,43,48,50,51,52,47,44,39,35,33,31,28,25,25,25,24,24,24,23,23,23,22,22,22,21,21,21,21,22,20,20,21,21,22,24,25,26,27,27,28,28,28,27,27,26,23,24,25,25,25,25,24,23,23,22,20,18,16,15,14,14,16,15,15,13,12,11,10,10,8,8,9,9,8,7,6,6,7,7,7,6,6,5,5,5,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 9,9,10,11,11,12,13,13,13,12,12,11,12,12,13,13,12,12,12,12,12,12,12,12,13,13,12,12,12,13,14,14,14,15,15,15,16,16,17,17,16,16,17,18,19,21,21,22,25,25,26,26,26,25,24,23,27,29,33,37,42,46,48,50,53,51,50,50,50,49,46,44,43,41,38,37,37,39,42,44,48,51,55,59,63,68,73,77,85,87,90,92,94,93,92,91,85,82,78,74,71,69,68,68,70,70,72,75,77,76,73,70,60,56,50,47,48,52,55,57,54,56,58,61,72,92,118,136,157,167,173,166,150,135,120,110,107,107,106,104,101,101,102,104,109,111,119,129,136,142,150,158,158,160,160,156,151,152,158,165,169,170,171,170,163,151,136,126,107,98,85,75,70,70,72,73,76,80,88,97,104,106,105,102,95,88,79,71,64,61,65,71,80,83,84,83,80,75,73,72,79,83,89,94,96,95,92,90,85,90,96,102,107,110,111,110,104,98,89,78,70,64,62,61,59,57,53,49,48,52,59,64,71,75,79,77,68,57,50,46,45,42,40,39,35,31,36,43,50,52,52,48,42,39,40,43,49,54,58,57,51,44,41,40,43,44,44,40,35,31,32,35,41,48,55,55,50,45,43,45,52,62,72,78,84,87,85,80,72,62,49,39,30,25,28,35,41,43,45,46,44,42,42,43,40,35,29,26,23,25,35,47,59,64,65,60,53,48,41,34,33,32,30,30,32,35,38,40,42,45,49,53,58,64,72,77,74,69,60,50,41,36,33,32,40,44,49,54,58,60,59,59,56,53,50,47,45,45,46,47,46,46,45,44,41,37,33,31,29,31,34,37,38,38,38,37,39,42,45,47,45,41,36,33,28,25,25,29,32,37,46,56,74,84,92,92,84,73,58,46,37,35,33,32,33,34,33,32,31,33,36,38,40,41,40,40,42,41,39,37,34,32,31,30,30,32,35,38,40,40,39,39,37,35,33,31,31,32,34,35,39,40,41,41,38,34,29,26,23,23,22,23,24,26,28,30,27,27,27,27,27,28,29,30,36,39,45,50,54,55,55,55,50,46,41,38,36,34,32,31,29,29,28,27,26,25,24,24,23,22,21,20,20,20,20,21,21,21,22,23,24,25,25,26,28,28,29,30,30,30,29,29,27,28,29,30,30,29,28,27,27,26,23,21,18,17,16,15,16,15,14,13,12,11,10,9,7,7,8,8,7,7,6,5,7,7,7,6,6,5,5,5,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 9,9,10,11,11,12,13,13,14,13,12,12,12,12,13,13,12,12,12,12,12,12,12,12,13,13,12,13,13,14,15,16,18,18,18,18,19,19,19,19,19,19,20,20,21,21,21,22,23,23,24,25,26,27,28,28,30,33,37,43,48,52,55,57,58,56,53,52,51,48,45,42,40,38,36,34,35,37,40,42,47,49,53,57,61,66,72,76,83,85,87,89,91,92,91,91,87,84,80,76,73,73,74,75,77,77,78,80,82,81,78,76,66,61,55,53,55,58,60,61,58,58,56,56,64,84,111,131,155,165,170,162,146,131,119,111,109,109,109,105,99,95,92,92,96,95,100,109,117,122,132,143,146,151,153,150,146,147,155,164,170,174,179,182,179,170,156,147,129,119,104,91,83,77,73,70,69,70,74,81,89,93,94,93,86,76,65,58,53,52,60,71,85,88,91,90,86,80,76,73,78,83,91,99,104,103,100,96,88,88,89,92,96,100,104,107,106,103,98,90,81,73,67,64,62,60,56,52,50,52,57,61,72,79,86,85,74,59,48,42,40,38,38,38,34,31,35,42,45,47,48,47,45,43,45,47,55,58,59,54,46,38,34,34,38,41,42,40,34,30,30,31,37,46,54,55,50,46,46,49,55,65,77,84,89,92,88,82,75,65,52,42,32,27,31,38,42,43,43,42,39,38,39,40,39,34,29,26,23,25,34,46,57,64,67,64,59,54,47,40,39,36,33,31,31,34,37,40,45,51,60,70,78,86,93,98,90,82,69,56,46,40,38,37,44,47,53,58,62,63,63,62,59,55,50,44,42,43,46,48,48,49,50,48,45,39,34,30,27,28,30,31,33,34,35,36,39,42,46,49,48,45,40,37,32,28,27,30,33,38,48,58,74,85,93,93,86,75,61,49,40,37,34,33,34,34,33,32,35,38,42,46,47,46,44,43,38,36,34,31,29,28,28,28,30,31,33,35,36,35,35,34,32,31,31,31,32,34,36,37,41,42,43,43,41,36,31,28,22,22,21,22,23,25,27,28,31,32,32,33,33,33,34,34,39,43,48,53,56,56,55,53,50,46,42,39,38,37,36,35,33,32,31,30,28,27,26,25,23,22,20,19,19,19,20,20,22,22,23,24,25,25,25,25,28,28,29,30,31,31,31,30,31,32,34,35,35,34,32,31,30,29,26,23,21,19,18,17,15,15,14,13,12,10,9,9,6,7,7,7,7,6,5,4,7,7,7,6,6,5,5,5,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 9,9,10,11,11,12,13,13,14,14,13,12,12,13,13,13,12,12,12,12,12,12,12,12,13,13,13,13,14,15,16,17,20,20,20,20,21,21,21,21,22,22,22,22,22,22,22,22,22,22,23,24,26,29,31,32,34,36,41,47,52,57,60,62,62,59,56,54,52,49,44,41,39,37,35,33,34,36,39,41,45,48,51,54,58,63,69,74,75,76,79,82,85,87,88,89,86,83,78,75,73,74,76,78,80,80,80,82,84,85,83,81,73,68,62,60,62,65,65,65,62,60,56,52,56,73,100,119,141,151,155,146,131,119,111,105,106,107,106,102,96,89,85,83,84,81,84,93,100,106,117,129,136,141,145,142,137,138,147,156,165,171,180,187,189,182,171,162,150,139,122,106,93,82,73,67,66,64,64,68,76,83,87,87,81,69,57,51,47,48,59,72,88,92,95,95,90,83,77,74,70,75,84,94,99,100,95,91,86,84,82,85,88,93,99,105,109,109,107,100,91,80,73,69,65,63,59,54,51,52,55,59,74,83,91,90,78,61,47,39,37,36,36,37,34,31,34,41,43,46,48,49,48,47,48,50,60,61,60,54,44,36,32,32,38,41,43,41,35,30,28,28,35,44,53,55,51,47,48,51,57,68,79,87,92,95,91,84,78,68,55,44,34,29,32,39,43,43,41,39,36,35,36,38,37,33,28,26,23,24,33,44,56,64,69,67,62,57,50,43,43,40,35,32,31,33,37,40,50,58,70,83,94,103,110,114,102,93,78,63,51,45,44,44,46,50,55,60,64,65,65,64,61,56,49,43,40,42,45,48,50,51,52,51,47,41,34,29,26,26,27,28,30,32,34,35,38,42,46,50,50,47,42,39,34,30,28,30,33,38,48,58,67,78,88,89,84,75,62,51,44,41,38,37,37,37,36,35,39,42,47,51,52,50,47,45,35,33,30,27,25,25,26,26,30,31,31,32,32,32,32,32,28,28,29,30,32,34,36,37,40,42,44,44,42,38,34,31,23,22,21,22,23,25,27,28,36,36,37,38,37,37,36,35,40,44,49,54,56,55,53,51,49,46,41,39,39,39,39,38,35,34,33,31,29,28,27,26,23,22,20,19,18,18,19,20,22,23,24,25,25,25,25,24,27,28,29,31,31,31,31,31,34,36,38,39,39,38,36,34,32,31,28,25,22,20,19,18,15,15,14,13,11,10,9,9,6,6,7,7,7,6,5,4,7,7,7,6,6,5,5,5,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 13,13,12,12,12,13,14,14,14,14,13,13,13,14,14,15,14,14,13,12,12,11,10,10,13,12,12,12,13,15,17,19,21,23,25,26,25,24,25,27,28,28,27,26,25,24,24,24,23,23,23,23,25,28,30,32,38,40,45,51,57,62,66,67,65,62,58,52,47,43,39,38,38,37,35,33,33,35,37,38,38,41,45,50,54,57,59,59,69,69,69,71,72,75,77,78,76,73,70,67,67,69,72,74,70,75,81,86,88,90,92,93,90,82,74,70,71,76,79,80,74,71,66,60,60,71,90,104,124,127,126,118,105,95,93,95,100,102,102,99,93,86,81,79,71,70,70,74,81,91,101,108,122,126,130,128,124,126,133,141,154,163,172,176,179,180,175,169,154,144,130,119,108,95,79,67,60,56,53,55,63,71,77,80,76,66,57,52,49,51,64,79,88,93,100,103,99,89,77,69,69,72,77,83,88,90,88,86,81,80,78,77,80,88,98,106,109,117,120,112,98,86,76,69,67,67,65,61,56,54,57,60,70,78,88,90,81,63,45,34,30,32,36,38,38,37,35,34,39,45,51,54,53,52,53,56,63,65,66,63,56,47,40,36,40,44,47,45,39,33,29,28,34,40,46,48,47,45,44,45,54,68,83,92,97,100,100,96,82,70,56,46,37,32,34,40,43,43,42,36,30,27,29,32,35,34,29,23,19,23,31,39,51,60,65,64,63,62,55,46,46,42,36,31,30,32,35,38,51,60,75,92,108,119,125,128,114,97,78,65,54,44,42,46,54,55,57,62,67,69,69,68,64,55,47,43,41,39,43,49,51,56,58,54,49,43,34,26,25,24,23,24,27,29,29,28,33,37,42,47,48,46,42,39,36,32,27,25,28,35,43,49,63,70,78,81,77,68,59,54,43,44,45,45,45,45,44,44,45,47,51,55,56,53,46,41,32,29,26,23,22,24,27,29,29,29,30,30,30,29,29,28,26,27,29,30,32,32,32,32,36,36,38,40,40,38,32,28,26,24,22,21,23,29,34,38,42,44,46,46,43,40,38,38,39,41,45,49,51,51,50,49,43,42,41,40,39,39,39,39,40,39,36,33,30,27,26,25,22,20,18,16,15,16,18,19,20,21,23,24,25,24,23,22,25,26,27,29,31,33,35,36,34,36,38,39,40,40,39,39,35,33,31,29,28,26,22,19,18,17,15,13,11,10,10,9,8,8,8,7,7,6,6,6,6,6,6,6,6,6,6,6,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 13,13,13,12,13,13,14,15,16,15,15,14,14,14,14,15,14,14,13,12,12,11,10,10,12,12,11,12,13,16,18,19,22,24,27,28,27,28,29,30,35,35,35,34,33,31,30,29,24,24,23,24,26,29,32,34,39,42,46,51,57,61,65,66,64,61,57,52,47,42,39,38,36,36,35,34,34,35,37,37,36,38,41,45,49,52,54,55,61,61,61,61,62,64,66,68,69,67,65,63,63,65,67,68,67,70,76,81,86,91,97,100,99,93,86,82,83,85,86,87,83,79,73,66,63,70,84,96,106,108,107,98,87,80,80,84,95,99,102,102,96,87,79,74,69,67,66,66,71,78,86,91,108,112,115,113,110,111,118,125,139,148,157,162,164,166,162,157,151,142,131,121,112,100,86,76,61,57,53,53,58,65,70,73,78,70,64,63,62,65,76,89,96,98,101,101,97,88,78,72,71,73,76,79,82,82,80,78,76,76,76,78,83,92,103,111,119,126,129,120,106,93,81,72,66,67,67,63,59,56,56,58,68,76,86,89,80,63,44,33,30,33,38,41,40,38,35,34,37,43,50,53,52,52,53,55,65,67,69,67,60,52,45,42,44,48,51,50,44,37,32,30,33,37,43,45,43,41,40,40,50,64,79,89,96,102,103,101,87,74,59,47,38,32,35,40,43,43,40,34,28,25,28,32,36,35,32,27,24,26,32,39,49,57,63,63,63,62,56,48,45,41,35,31,29,31,34,37,47,57,75,95,114,127,135,139,122,105,84,69,58,49,48,52,55,55,58,62,67,70,71,70,67,58,48,43,40,39,44,51,56,61,62,58,53,47,38,30,26,24,23,23,26,27,28,27,31,34,39,44,45,43,40,37,32,29,25,24,27,34,42,47,57,63,70,73,71,64,57,53,51,52,54,56,56,54,52,51,48,49,52,54,55,51,45,40,29,26,23,20,19,21,24,27,28,29,29,29,29,28,27,27,25,26,28,30,31,31,31,31,34,35,36,39,40,38,33,29,25,23,21,20,22,27,33,36,43,45,47,47,44,40,38,38,35,37,40,43,45,45,45,44,43,42,42,42,43,44,45,46,44,43,40,37,33,29,25,23,21,19,17,15,14,15,17,18,20,21,23,25,26,25,24,23,25,25,26,28,30,32,33,34,34,35,37,39,40,40,39,38,35,33,31,30,29,26,23,20,18,17,15,13,11,10,10,9,8,8,8,7,7,6,6,6,6,6,6,6,6,6,6,6,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 14,13,13,13,14,15,16,16,18,17,17,16,16,15,15,15,14,14,13,13,12,11,10,10,11,11,11,12,14,16,19,21,23,26,29,31,31,32,34,36,41,42,43,43,41,39,36,34,28,27,25,25,26,30,33,36,40,42,46,50,55,58,61,62,60,58,54,49,45,41,38,37,34,35,36,37,38,38,38,38,36,37,39,42,46,49,53,54,56,54,53,52,52,53,56,57,61,61,61,61,61,61,61,62,63,66,70,76,84,95,106,113,115,111,106,102,100,99,98,96,94,91,84,75,70,71,79,86,87,87,84,76,68,65,70,75,91,97,104,105,99,88,77,70,69,67,64,63,65,69,74,77,91,94,97,96,93,95,101,108,120,130,139,142,144,145,143,139,141,136,128,122,115,107,96,89,74,69,64,61,63,67,71,73,79,76,76,79,81,85,94,103,109,107,104,99,92,85,79,76,72,73,74,75,74,73,71,70,71,73,77,82,89,100,112,120,131,138,139,129,113,98,83,72,65,67,68,67,63,58,55,54,63,71,82,85,77,60,43,32,30,35,41,45,43,39,35,33,36,43,51,55,55,54,55,56,66,69,72,71,66,58,52,49,50,53,57,56,51,43,37,33,31,35,39,40,39,36,34,34,44,57,72,84,94,104,108,107,94,80,63,50,39,33,35,40,44,42,38,31,25,23,27,32,37,39,39,36,32,32,36,40,47,54,60,62,63,61,55,48,43,39,34,30,28,29,32,35,43,54,73,95,116,131,141,145,129,111,89,71,59,52,53,57,56,56,59,63,69,73,74,73,71,60,49,43,39,39,45,53,60,64,65,61,55,50,41,32,27,25,23,23,24,26,26,26,28,31,35,38,40,38,35,33,26,24,23,23,27,33,40,45,50,54,60,63,62,58,55,54,58,61,65,67,67,64,61,58,51,50,51,51,51,47,41,37,27,25,21,18,18,20,23,26,28,28,28,28,28,27,26,25,24,25,28,30,31,31,31,31,32,33,35,38,40,39,35,32,27,25,22,21,22,27,32,36,43,45,47,46,43,39,37,36,31,31,32,34,35,37,38,38,39,40,41,43,46,49,52,53,52,51,49,46,40,33,26,22,19,18,15,14,13,14,16,18,20,22,24,27,27,27,26,25,24,24,24,25,27,28,30,31,33,34,36,38,39,39,38,37,35,33,31,30,29,27,23,21,17,16,14,13,11,10,10,9,8,8,8,8,7,7,7,7,6,6,6,6,6,6,6,6,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 14,14,14,14,15,16,17,18,19,19,19,19,18,17,16,16,15,15,14,13,13,12,11,11,11,11,11,12,14,17,20,21,24,27,31,33,35,36,39,41,44,45,47,48,47,44,40,37,35,33,30,28,28,30,33,35,39,40,43,47,50,52,54,54,53,51,48,44,40,37,35,34,35,37,40,42,44,44,43,43,43,43,44,46,50,54,58,60,58,55,52,49,48,49,51,53,57,58,60,61,61,60,58,57,60,62,66,73,83,98,113,124,129,127,125,121,117,113,108,105,102,99,93,85,79,77,79,82,79,77,73,67,62,64,72,79,96,101,107,107,101,90,80,74,74,72,71,69,69,70,72,73,78,81,83,82,80,83,90,96,107,116,124,125,124,124,123,120,125,123,120,117,114,109,104,100,90,86,80,75,74,75,77,79,82,84,89,95,101,107,112,116,121,115,105,95,86,80,78,77,73,74,75,74,72,70,69,69,71,75,82,90,100,112,124,132,142,147,146,134,116,99,81,68,62,65,69,70,67,61,54,50,55,63,73,76,69,55,40,31,31,38,45,48,45,39,33,31,36,44,54,60,60,57,56,56,64,68,72,73,68,62,56,52,54,58,62,63,59,51,43,37,32,34,36,37,36,34,32,30,37,49,63,76,90,103,110,111,100,85,67,52,40,33,35,40,43,42,37,30,23,23,28,33,42,45,48,48,44,41,41,43,47,52,57,60,60,57,51,46,41,38,33,29,27,28,31,33,40,50,69,90,110,125,135,140,128,112,88,68,56,51,52,55,56,57,59,64,70,74,76,76,72,61,48,41,37,38,45,54,60,64,65,60,54,49,41,33,29,26,23,22,23,25,25,25,26,28,31,33,34,33,31,29,21,21,22,24,29,35,40,44,46,49,53,55,55,55,55,56,61,65,71,74,74,70,64,60,51,49,46,45,43,40,35,32,27,25,22,20,20,22,24,26,27,28,28,28,28,27,26,25,25,26,29,32,34,35,34,34,34,34,36,39,42,42,39,36,31,28,25,23,24,27,32,35,40,42,44,43,39,35,33,32,27,27,26,26,28,29,31,32,34,35,38,42,47,52,57,59,62,62,61,57,50,40,31,25,18,17,14,13,13,14,16,17,21,23,26,29,30,29,27,25,23,23,22,22,23,24,26,27,31,32,34,36,36,36,35,35,33,31,29,29,28,27,23,21,16,15,14,12,11,10,10,10,8,8,8,8,8,8,8,7,7,7,7,7,7,7,7,7,5,5,5,5,5,5,5,5,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 15,15,15,15,16,18,19,20,20,21,21,21,21,20,18,18,17,16,16,15,14,14,13,13,12,12,12,13,14,17,20,21,23,27,31,34,36,38,40,43,46,48,50,51,50,47,44,42,42,40,36,32,30,30,31,32,36,37,39,41,43,44,44,45,44,43,40,37,35,33,32,32,37,39,44,48,51,52,52,51,51,51,52,55,58,63,67,69,66,62,57,52,50,50,52,54,57,59,61,62,62,60,57,55,57,59,62,69,81,97,114,125,137,138,137,134,127,120,113,109,104,102,99,94,89,86,85,86,82,80,76,72,71,76,85,93,108,111,112,109,102,94,87,83,83,83,83,82,80,77,74,72,70,71,70,68,68,72,79,86,97,106,112,110,106,105,104,102,106,108,110,110,108,106,105,104,99,97,92,87,84,83,84,85,90,95,102,110,118,124,127,127,125,116,102,87,78,74,74,75,76,78,80,79,75,73,74,75,75,80,89,98,109,120,131,138,146,149,146,133,115,97,78,64,59,63,68,71,70,63,54,48,48,54,61,63,58,48,38,33,35,42,51,52,46,38,32,30,36,46,59,66,65,59,54,51,58,62,68,70,66,60,54,51,54,58,64,68,67,59,48,41,35,36,37,37,37,35,33,31,33,42,55,67,83,99,108,109,101,87,69,54,42,34,35,40,43,41,37,30,25,25,30,35,47,53,58,59,55,50,48,47,50,51,54,57,55,50,45,42,39,37,32,29,27,28,29,31,36,45,61,81,100,115,126,131,121,107,85,65,53,50,51,51,56,56,57,62,68,72,75,75,70,58,45,38,34,36,44,53,60,63,64,59,54,50,42,35,30,26,23,22,23,25,26,26,26,27,28,29,29,27,26,25,18,20,24,28,34,39,43,45,48,50,51,52,52,53,55,58,62,67,73,77,77,71,64,59,47,43,39,35,34,32,29,27,25,24,23,22,22,23,25,26,27,28,29,29,29,29,28,28,28,30,35,39,42,42,42,41,40,40,42,44,46,46,44,42,34,31,26,23,23,25,29,31,34,37,38,38,34,31,29,28,25,24,23,22,23,25,27,28,31,33,37,43,49,56,61,64,71,72,71,67,59,47,36,29,18,17,15,14,14,15,17,19,23,25,29,31,32,30,27,25,22,21,19,18,18,20,21,22,27,28,30,31,32,32,31,31,29,27,26,26,26,25,22,19,15,15,13,12,10,10,10,10,8,8,8,8,8,8,8,9,7,7,7,7,7,7,7,7,5,5,5,5,5,5,5,5,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 16,16,16,16,18,19,21,22,20,21,23,24,24,23,21,20,19,19,18,17,16,16,15,15,14,14,13,13,15,17,19,20,22,25,29,32,34,36,39,41,47,48,50,52,52,50,48,47,46,44,41,37,34,32,32,31,33,34,35,36,36,36,36,36,35,34,33,32,31,31,31,31,38,41,47,52,57,60,61,61,60,61,63,67,71,75,79,81,77,72,65,58,55,55,57,59,62,63,65,66,65,62,58,56,57,59,63,69,80,95,110,121,138,140,141,137,129,120,112,108,102,102,101,100,98,97,96,95,91,90,88,87,89,95,104,111,123,122,119,112,104,97,94,92,94,96,99,100,97,90,82,77,73,70,65,60,59,63,71,77,91,100,105,100,94,92,91,90,95,99,103,103,100,99,100,102,104,105,104,101,97,94,94,95,99,105,111,118,126,134,134,131,121,111,96,82,74,72,76,79,85,88,90,88,83,78,77,78,78,84,92,102,111,120,128,134,141,142,138,125,109,93,76,62,55,59,65,71,71,65,54,47,42,45,49,50,47,42,39,38,42,50,57,57,48,38,32,30,39,51,66,74,71,62,52,46,51,56,62,65,62,56,50,46,50,55,64,71,71,65,54,45,38,38,37,38,39,38,36,33,31,38,47,58,75,92,102,103,99,86,69,56,44,35,35,39,41,41,38,33,28,29,34,39,52,59,66,68,63,57,53,51,51,49,49,51,49,43,40,41,39,36,32,29,27,28,29,30,32,39,52,69,87,103,115,121,110,100,82,63,53,51,50,47,52,51,52,56,61,66,69,69,64,52,40,34,31,32,40,49,58,62,63,58,54,51,45,38,30,27,23,22,24,26,28,29,28,28,28,27,25,24,22,21,18,22,28,35,41,46,49,50,51,51,51,50,49,50,52,55,60,64,71,75,74,68,61,56,42,37,31,27,25,25,25,25,24,25,26,27,27,27,26,25,28,29,30,31,32,32,32,32,33,37,42,48,52,53,53,53,51,50,50,52,53,52,50,47,37,33,27,23,20,21,24,26,28,31,33,33,30,27,25,25,24,23,22,21,21,22,24,25,30,32,37,43,51,58,64,67,75,75,75,71,62,51,39,32,20,19,17,16,16,18,20,21,26,28,32,34,33,31,27,24,21,20,17,15,14,15,17,18,21,23,25,26,27,27,26,26,24,23,22,22,23,22,19,17,15,14,12,11,10,10,10,10,8,8,8,8,9,9,9,9,8,8,8,8,8,8,8,8,6,6,6,6,6,6,6,6,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 16,16,16,17,18,20,22,23,19,21,23,25,26,25,24,23,21,21,20,19,19,18,17,17,16,15,14,14,14,16,18,19,20,23,28,30,32,34,37,39,44,45,46,47,48,48,48,48,45,44,43,41,38,36,34,33,32,32,33,33,32,31,30,30,29,29,29,29,30,31,32,33,39,42,47,54,60,65,68,69,70,73,77,81,86,90,93,95,91,85,76,68,63,63,65,68,73,74,75,74,72,69,65,63,65,67,71,76,85,97,110,118,134,137,139,135,126,115,108,104,101,101,102,104,105,106,105,104,103,103,103,105,109,115,123,127,133,130,125,116,107,100,98,97,104,110,118,123,123,116,106,100,89,83,73,64,61,64,71,77,90,99,103,98,90,88,89,89,93,98,102,101,95,92,94,97,102,105,108,108,105,101,101,101,101,106,111,115,123,131,130,125,117,109,96,85,80,81,87,92,98,101,103,98,89,80,77,76,77,82,91,99,106,112,117,121,124,125,121,110,98,86,71,59,52,56,63,69,71,65,55,47,40,41,41,39,38,39,42,45,52,59,65,62,52,40,35,33,47,61,79,88,83,70,55,46,45,50,57,60,57,51,45,41,45,51,61,71,74,69,57,48,40,38,38,39,41,41,38,35,31,36,42,51,67,84,94,95,94,82,68,56,45,36,35,38,40,40,40,36,33,33,38,43,55,62,70,72,67,60,55,53,50,45,43,45,44,39,39,42,39,36,33,30,28,28,29,30,31,35,44,56,70,85,97,104,96,91,77,60,51,50,47,41,45,45,45,48,53,57,60,61,56,46,35,30,27,29,37,46,54,58,58,54,51,49,44,37,31,27,23,22,25,28,31,32,32,31,29,26,23,21,19,19,20,25,33,42,49,53,54,55,53,52,51,48,45,45,47,49,53,57,63,67,66,60,53,49,37,32,25,21,20,22,24,25,27,29,33,36,36,34,31,29,29,30,32,34,35,36,37,37,39,43,50,57,62,64,65,65,62,61,59,59,60,58,55,52,43,39,32,26,22,22,23,25,24,27,29,30,28,25,24,24,22,22,21,21,20,21,21,21,26,28,33,39,47,54,60,63,72,73,72,68,60,49,38,32,22,21,19,18,19,20,23,24,29,31,34,36,35,31,26,23,21,18,15,12,11,12,14,15,17,18,20,21,22,22,21,21,20,19,18,18,19,18,16,14,14,13,12,11,10,10,10,10,8,8,8,9,9,10,10,10,8,8,8,8,8,8,8,8,6,6,6,6,6,6,6,6,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 16,16,17,18,19,21,22,23,19,21,23,26,27,27,26,25,22,22,21,21,20,19,19,18,18,17,15,14,14,15,17,18,19,22,26,29,30,32,34,37,39,40,40,42,43,44,45,46,42,42,43,43,41,39,37,35,32,32,32,32,31,29,28,27,26,27,27,28,30,32,33,34,38,41,47,54,61,67,71,73,79,82,87,93,99,102,105,106,101,95,85,76,71,70,73,75,84,84,84,83,80,77,73,70,73,76,80,85,92,102,112,119,131,134,136,132,122,112,104,101,100,100,102,105,108,110,110,109,112,113,115,118,123,129,135,139,137,134,128,119,109,102,99,99,111,119,132,143,146,141,132,126,108,99,86,74,68,70,77,83,92,101,105,100,93,91,93,94,95,100,104,101,93,88,89,92,93,98,103,105,102,99,98,98,99,103,106,108,115,123,123,116,117,110,99,91,88,93,100,106,108,111,112,105,92,80,74,72,74,80,87,94,99,104,107,110,108,109,105,96,87,78,66,56,50,54,61,68,71,66,55,47,40,39,36,34,34,38,45,50,58,65,70,66,54,42,37,36,57,72,90,100,94,78,61,50,42,48,55,58,55,48,42,38,41,48,59,70,75,71,59,49,40,38,37,39,42,42,40,37,32,36,40,47,62,79,88,89,91,80,67,56,46,37,34,37,39,40,41,38,36,36,40,45,56,63,71,73,68,61,56,54,48,42,39,42,41,37,39,44,39,37,33,30,29,29,30,30,32,34,38,46,56,69,80,86,86,83,72,57,49,48,43,36,41,40,40,42,47,51,53,54,52,42,32,27,26,27,35,43,49,52,53,50,47,45,41,35,31,27,24,23,25,29,32,34,34,32,29,26,23,20,18,17,22,27,36,46,53,57,58,58,53,52,50,46,42,40,42,43,46,50,55,58,57,52,46,41,35,30,22,18,18,21,24,26,32,35,40,44,45,42,38,35,29,30,33,35,37,39,40,40,43,47,55,62,68,71,72,72,69,67,65,64,64,62,58,55,50,45,38,31,26,25,26,27,22,25,28,29,27,25,24,24,21,21,20,20,20,19,19,19,21,23,28,34,41,48,54,58,69,69,68,64,57,46,36,30,23,22,21,20,20,22,25,26,31,33,36,37,35,31,25,22,20,18,14,11,10,10,12,14,14,15,17,19,19,19,18,18,17,16,15,16,17,16,14,12,13,13,12,10,10,10,10,10,8,8,8,9,9,10,10,10,8,8,8,8,8,8,8,8,6,6,6,6,6,6,6,6,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 17,17,18,19,20,20,21,21,20,21,23,25,26,25,23,22,24,24,24,23,22,21,20,19,19,19,19,19,19,19,19,19,20,20,21,23,26,29,31,33,36,36,36,37,37,37,37,37,40,40,40,40,40,39,38,37,35,34,32,30,28,27,26,26,31,30,29,29,31,34,37,39,40,43,48,53,58,63,70,74,76,82,91,100,108,113,115,116,107,102,93,84,79,82,89,95,99,105,105,98,91,88,87,84,89,92,96,103,109,114,118,120,127,127,126,125,121,114,104,97,91,96,104,110,114,118,121,123,124,125,127,130,134,137,139,141,141,134,126,118,106,97,100,109,116,128,144,156,165,167,160,150,137,126,110,96,89,87,88,90,97,99,100,97,95,94,98,101,103,110,111,102,93,88,83,77,86,90,94,96,95,93,92,91,87,92,97,97,96,97,103,108,105,111,115,115,119,125,130,130,133,125,114,103,94,83,72,64,70,75,80,86,95,101,98,92,92,85,81,84,83,75,64,59,54,56,60,67,72,71,65,59,49,42,37,38,40,43,50,58,65,71,74,67,54,44,43,46,68,89,111,117,107,89,69,56,47,51,56,58,55,48,40,34,36,43,54,65,69,64,53,45,33,33,33,36,40,43,43,43,39,39,41,46,55,67,78,84,82,75,64,51,42,38,37,37,39,42,44,44,42,41,44,46,55,58,63,65,63,58,52,48,43,42,42,43,45,46,44,42,37,35,33,32,34,36,36,36,34,33,34,37,45,55,64,70,73,70,65,58,51,44,39,37,34,34,35,36,38,40,42,43,37,34,29,26,27,32,38,42,47,47,46,45,43,40,37,35,28,26,25,26,29,32,33,33,34,31,28,24,21,20,21,21,26,32,41,50,55,56,55,53,47,45,42,38,37,36,37,37,40,42,45,47,47,44,40,38,29,28,26,23,22,24,28,32,40,47,54,55,55,53,46,39,34,33,33,35,39,43,44,44,46,50,58,66,72,76,78,79,76,72,68,68,71,71,67,63,56,51,44,38,34,30,26,23,28,29,30,32,32,32,31,30,27,26,24,22,20,19,19,18,21,23,26,30,35,40,44,46,52,53,53,51,46,39,31,27,22,23,25,27,29,31,32,33,35,34,34,34,34,31,26,23,16,15,14,12,10,10,9,9,9,11,14,16,17,17,15,14,13,13,14,14,14,15,15,15,13,13,13,13,12,11,10,9,8,9,11,12,13,12,11,11,10,11,11,11,11,10,9,8,8,8,8,7,7,6,6,6,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 17,17,17,18,19,20,20,21,20,21,23,25,25,25,23,22,24,24,24,24,23,21,20,19,19,19,19,19,19,19,19,19,19,20,20,22,24,26,28,30,32,32,32,32,33,33,33,33,37,37,38,39,39,39,38,38,37,36,34,32,30,29,29,28,32,31,31,32,34,37,41,43,43,45,49,52,56,61,67,72,77,83,92,102,110,115,117,118,110,105,97,89,87,91,100,107,112,117,118,111,103,99,96,92,102,105,111,117,122,125,127,127,127,126,125,123,119,112,103,97,94,99,105,111,115,119,122,125,131,133,135,137,139,140,141,141,137,131,125,118,108,100,103,111,121,135,152,166,178,182,176,167,150,140,125,113,105,103,103,103,107,107,106,103,100,100,103,107,110,117,117,107,97,92,86,80,83,86,90,90,88,84,82,81,76,80,83,83,81,83,89,95,103,113,125,134,145,155,159,159,153,142,125,109,95,82,70,62,69,74,81,88,96,100,95,87,83,76,71,74,75,69,62,58,55,56,60,66,72,72,68,63,54,47,42,41,42,44,50,58,67,72,74,67,55,47,47,51,75,96,117,122,112,95,75,61,50,54,59,61,58,51,43,37,37,43,52,60,63,59,50,42,31,30,31,35,39,42,43,43,40,40,41,45,53,64,74,80,79,72,61,50,42,37,36,37,40,43,46,46,45,44,45,47,51,54,57,59,58,54,49,46,42,42,43,45,48,48,45,43,38,35,32,32,34,37,38,38,37,35,33,33,37,44,52,57,65,63,60,55,49,42,37,34,30,29,29,29,30,32,34,35,35,32,29,27,28,31,36,39,44,44,44,43,41,38,36,34,28,26,25,25,28,31,32,33,33,31,27,24,22,21,21,21,28,32,40,47,51,51,49,47,40,38,35,33,32,32,33,33,33,35,37,39,39,37,35,34,30,29,28,25,25,27,32,36,46,55,62,64,64,61,52,43,36,34,33,35,38,42,43,44,47,51,57,64,70,73,75,76,73,69,65,66,69,70,67,63,58,54,47,41,36,32,28,25,28,30,33,35,36,35,33,32,29,27,25,23,21,20,19,19,21,22,25,29,33,36,38,38,40,41,41,40,37,32,27,24,22,24,26,29,31,33,33,33,34,33,32,32,32,29,25,21,16,15,14,12,11,10,10,10,9,11,13,15,16,16,14,14,13,13,13,13,14,14,14,15,12,13,13,13,13,12,11,11,9,10,12,13,14,13,12,11,10,11,11,11,11,10,9,8,8,8,8,7,7,6,6,6,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 16,16,17,17,18,19,20,20,20,21,23,24,25,24,23,22,24,24,24,24,23,22,21,20,19,19,19,19,19,19,19,19,19,19,19,20,21,23,24,25,26,26,27,27,28,28,28,29,31,32,34,36,37,38,39,39,39,38,36,34,32,32,31,31,33,33,33,35,38,41,45,47,47,48,50,51,54,58,64,68,75,80,90,100,108,113,116,117,108,104,98,93,93,101,112,120,127,133,134,127,118,112,107,102,113,118,125,132,135,136,134,132,130,127,124,121,118,113,107,102,102,106,112,116,120,123,127,130,134,136,137,139,138,137,135,133,127,123,118,113,106,100,103,109,121,136,155,172,185,192,188,180,163,155,143,132,125,122,120,119,116,114,110,105,102,102,105,109,115,120,119,111,102,95,91,87,87,89,91,89,83,76,71,69,64,66,67,66,65,68,74,80,98,114,136,156,175,188,192,189,175,160,137,114,96,81,69,62,68,76,85,94,101,103,95,85,76,68,62,64,67,65,61,60,56,56,58,64,71,73,71,68,60,53,47,45,44,45,49,56,67,71,72,66,56,52,55,61,84,103,121,124,114,97,78,64,53,56,62,64,62,55,47,41,39,42,48,53,55,51,43,37,28,28,29,33,38,42,44,44,43,42,42,45,51,59,68,73,72,66,57,47,40,36,35,36,41,44,48,49,49,48,47,48,47,48,49,50,49,47,45,44,42,43,46,50,52,51,48,44,39,36,32,32,34,38,41,42,41,37,33,30,31,36,43,47,54,54,53,50,45,38,32,28,26,26,24,24,24,26,27,28,33,31,30,29,29,32,35,36,39,39,39,38,37,35,33,32,28,26,24,25,28,30,31,31,31,30,27,24,23,22,22,22,29,32,37,41,43,42,40,38,30,29,27,26,26,26,27,28,28,28,30,31,32,32,32,31,32,31,30,29,29,33,38,43,54,63,73,76,74,69,58,48,39,36,34,34,37,40,43,44,48,51,55,60,64,67,69,69,67,64,62,63,66,67,65,62,60,55,49,42,38,34,29,27,29,32,36,39,40,38,36,34,30,29,26,24,22,20,19,19,21,23,27,31,33,33,32,31,30,30,30,29,28,26,24,23,23,26,30,33,35,35,34,33,32,31,30,29,29,27,23,19,16,15,14,12,11,10,10,10,9,10,12,14,15,14,13,13,12,12,12,13,13,14,14,14,12,12,13,14,14,14,13,13,11,12,14,15,16,15,14,13,11,11,11,11,11,10,9,9,8,8,8,7,7,6,6,6,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 15,15,15,16,17,18,18,19,20,21,22,23,23,23,22,22,23,23,24,24,23,22,21,20,19,19,19,19,19,19,19,19,19,19,18,18,19,19,20,21,22,22,23,24,24,25,25,26,27,28,31,33,36,37,38,39,39,38,36,34,33,32,32,32,32,32,34,36,40,44,47,49,50,51,51,51,52,55,61,65,70,75,84,94,102,107,109,110,101,98,94,91,94,104,117,126,136,142,144,137,127,120,114,109,115,121,130,138,141,140,136,133,132,129,125,123,122,119,116,114,115,118,121,124,127,130,134,137,137,138,140,140,138,135,131,128,124,122,119,114,108,104,105,108,115,129,148,165,179,186,183,175,164,158,150,143,139,136,133,131,122,118,110,103,98,98,101,103,112,115,115,110,104,100,99,99,102,103,103,97,87,76,67,62,57,58,57,56,56,59,65,70,90,111,139,168,192,207,209,205,186,168,141,115,96,82,73,68,72,81,93,103,111,112,103,91,77,67,59,61,64,64,63,63,56,55,56,61,68,72,72,71,64,56,49,47,44,42,46,51,62,65,66,63,58,58,64,71,91,106,120,120,109,92,73,60,52,57,62,66,64,58,50,44,41,41,43,45,45,42,36,32,26,26,28,33,39,44,46,47,46,45,44,45,49,56,62,66,64,59,52,44,39,36,35,35,41,44,48,51,51,50,49,48,44,43,42,42,41,42,42,43,43,45,50,54,57,56,51,47,40,37,32,31,34,39,43,45,43,40,35,32,33,38,44,48,51,51,50,47,42,34,27,22,25,25,24,24,24,26,28,29,32,32,32,32,32,33,34,35,34,34,34,34,33,32,32,32,29,27,25,25,27,29,30,30,30,29,27,25,24,24,24,24,30,31,33,34,34,33,30,29,24,24,23,22,23,23,24,25,27,27,27,28,30,31,33,33,34,34,33,33,34,39,45,50,60,70,80,83,81,74,61,50,41,38,34,32,35,38,41,43,46,47,50,53,56,59,61,61,61,59,58,59,61,62,61,59,58,54,47,41,37,33,29,26,29,32,37,42,43,42,38,36,30,29,27,24,22,21,20,20,23,26,32,36,38,36,33,31,29,28,27,25,24,24,25,25,24,28,33,37,39,38,35,33,30,29,27,26,26,24,20,17,16,15,14,12,11,11,11,11,9,10,12,13,13,13,13,12,12,12,12,12,13,13,14,14,12,13,14,15,16,16,15,15,14,15,16,17,17,16,15,14,11,11,12,12,11,11,10,9,8,8,8,7,7,6,6,6,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 13,14,14,15,16,17,17,17,19,19,20,21,21,21,21,21,22,22,22,23,22,22,21,20,19,19,19,19,19,19,19,19,19,19,18,18,17,18,19,19,21,21,22,23,24,25,25,26,25,26,29,32,34,36,37,38,37,36,35,33,32,32,32,32,30,32,34,37,40,44,47,49,52,53,53,53,53,55,59,63,67,72,80,89,96,100,101,102,93,91,88,88,92,101,114,123,135,142,144,138,129,122,116,111,114,120,129,137,141,140,137,134,131,129,127,127,129,131,132,131,128,130,131,132,133,135,139,142,145,146,148,148,146,143,139,136,134,133,130,124,118,115,112,111,112,124,140,154,166,172,169,162,156,153,149,147,146,146,144,143,130,123,112,103,97,95,96,97,105,106,107,106,104,104,109,115,119,120,119,111,96,80,65,57,53,54,54,54,54,56,59,62,80,102,133,165,193,211,213,208,188,170,142,115,96,85,77,73,77,87,100,111,120,121,112,100,80,69,61,61,65,65,64,65,56,54,54,58,65,70,71,70,62,55,48,45,41,38,40,45,52,56,60,61,60,64,71,78,95,105,113,110,98,82,65,52,49,54,60,64,64,59,52,47,42,41,40,39,38,35,31,27,26,27,29,34,41,46,49,49,49,48,46,46,48,52,57,60,56,52,47,42,38,35,35,35,41,43,46,49,51,51,49,47,42,41,38,37,36,38,40,41,45,48,52,57,60,58,52,48,41,37,33,32,35,40,44,46,46,44,40,38,39,43,48,51,54,53,50,45,38,30,22,18,23,24,25,26,28,30,31,32,32,33,33,34,34,34,34,34,30,30,30,30,30,31,32,32,30,28,26,26,27,29,29,29,29,29,28,27,27,27,27,27,29,29,29,28,27,26,24,24,25,25,25,24,24,24,25,25,27,27,27,28,29,31,33,35,35,36,36,36,38,43,50,55,65,75,83,85,82,75,62,51,41,37,33,31,33,37,40,41,41,42,43,46,48,51,53,55,57,56,55,55,56,56,55,54,52,48,42,36,33,30,26,24,28,31,37,41,43,42,39,37,30,29,27,25,24,23,22,22,28,32,39,45,47,45,41,38,33,31,28,25,24,24,25,25,26,29,35,40,41,39,36,34,29,27,25,24,23,21,18,16,16,15,14,13,12,12,12,12,11,11,12,12,12,12,12,12,12,12,12,13,13,14,14,14,13,14,15,16,17,17,17,16,15,16,18,18,18,17,16,15,11,12,12,12,12,11,10,9,8,8,8,7,7,6,6,6,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 12,12,13,14,15,15,16,16,17,17,18,18,18,19,19,19,20,20,21,21,21,20,20,19,19,19,19,19,19,19,19,19,20,19,19,18,18,18,19,19,21,21,22,23,24,25,26,27,25,26,29,31,33,34,35,36,36,35,34,32,32,31,31,31,30,32,34,37,41,44,46,48,51,53,55,55,56,57,60,62,67,72,79,86,91,93,94,93,86,85,84,84,88,96,107,114,123,130,133,127,120,116,112,108,111,116,123,129,133,133,131,129,124,123,125,129,136,143,147,148,143,143,143,141,140,141,145,148,153,154,156,157,157,155,153,151,149,149,145,136,128,123,116,110,115,125,136,145,154,159,156,149,145,144,144,147,151,155,157,157,143,134,121,110,102,98,96,95,100,98,98,100,100,104,114,125,127,129,129,121,105,84,66,55,50,52,54,56,57,57,56,55,69,87,116,147,177,197,202,198,178,160,134,110,94,84,78,75,79,89,100,111,119,121,113,102,80,70,63,65,68,67,65,65,58,55,54,57,63,67,68,66,58,51,44,41,38,34,36,40,45,51,57,61,64,68,74,79,92,99,101,95,83,71,57,46,44,50,57,63,64,60,54,49,43,40,37,36,34,31,28,25,27,27,30,35,42,47,49,50,49,48,46,45,45,48,51,54,49,47,44,40,38,36,35,35,39,40,42,45,48,49,47,45,42,39,36,34,33,35,37,39,46,48,52,57,58,56,50,46,40,37,33,33,35,39,42,44,48,46,45,44,45,48,52,54,60,56,50,42,34,27,21,18,22,24,27,30,32,33,33,33,32,33,33,34,34,34,33,32,27,27,27,28,29,31,33,34,33,30,27,27,28,29,30,29,29,30,30,30,30,30,30,30,29,28,27,26,25,25,25,25,31,31,30,29,28,27,27,26,27,27,27,28,29,31,33,34,36,37,37,37,40,45,52,57,68,76,82,81,77,71,60,49,37,34,31,30,33,36,38,38,37,37,38,39,42,46,50,52,55,54,53,52,51,50,49,48,45,41,35,31,28,26,23,21,26,29,34,38,41,40,39,37,31,31,29,28,27,27,27,27,34,39,46,52,54,53,49,46,36,34,30,26,24,23,23,24,28,31,36,40,41,40,37,34,28,26,23,22,21,20,17,15,16,15,14,13,13,13,13,13,12,12,12,12,12,13,13,13,13,13,14,14,14,15,15,15,15,16,17,17,18,17,17,17,16,17,18,19,19,17,16,15,12,12,13,13,12,11,10,10,8,8,8,7,7,6,6,6,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 11,12,12,13,14,15,15,15,15,15,15,15,16,16,17,18,18,18,19,20,20,19,19,18,19,19,19,19,19,19,19,19,21,20,20,19,19,20,21,21,21,21,22,24,25,26,27,28,27,28,30,31,32,33,33,33,36,35,34,33,32,32,32,32,32,33,36,39,42,45,46,47,49,52,56,58,59,60,62,63,66,70,76,81,84,85,84,83,79,79,79,79,82,88,95,101,103,110,113,108,103,102,101,98,102,104,108,112,114,115,114,114,112,114,119,128,140,151,158,161,162,160,158,154,151,152,155,158,163,164,166,168,170,172,172,172,171,171,165,152,142,134,124,114,116,123,130,135,141,145,142,136,133,134,137,145,154,162,167,169,156,146,132,119,110,104,99,95,96,91,88,89,90,95,109,123,128,132,135,129,112,89,68,56,49,52,57,62,63,61,56,51,56,70,92,118,145,165,171,168,151,137,115,97,86,80,77,74,78,85,94,102,109,111,104,93,80,72,67,70,74,72,69,68,61,58,57,59,64,67,66,64,53,47,41,38,35,32,34,38,43,50,58,65,68,71,74,76,82,85,84,76,67,58,48,40,41,46,55,62,64,61,56,52,43,40,37,34,32,30,26,23,26,27,29,34,40,46,48,48,47,45,43,42,42,43,46,47,44,43,41,40,38,37,36,36,37,36,37,40,44,46,45,42,41,38,35,32,31,32,34,35,46,47,50,53,54,51,46,42,40,37,34,34,36,39,40,40,45,46,48,51,55,59,62,64,64,58,49,39,30,25,22,21,26,29,33,37,38,37,35,33,31,31,31,31,31,31,31,30,26,26,26,27,29,32,34,36,35,32,29,28,29,30,30,29,30,30,31,32,33,33,33,33,31,29,27,26,26,28,30,31,38,38,37,35,33,30,28,27,29,29,30,31,32,33,34,34,37,37,38,38,40,45,52,58,64,70,72,69,65,60,51,42,33,31,29,30,32,35,36,36,34,34,34,36,40,45,50,53,55,54,53,50,47,44,42,42,38,34,30,26,25,23,21,19,23,26,30,34,36,37,37,37,34,33,33,32,32,33,33,34,40,44,50,56,58,56,52,49,38,36,32,29,26,25,24,24,29,32,36,39,41,39,37,35,28,25,22,21,20,19,17,15,16,15,14,13,13,13,13,14,14,14,13,13,13,13,14,14,14,14,15,15,16,16,16,16,17,18,18,19,18,18,17,16,17,18,19,19,19,17,15,14,12,12,13,13,12,12,11,10,8,8,8,7,7,6,6,6,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 11,11,12,12,13,14,15,15,14,14,14,14,14,15,16,17,17,17,18,19,19,18,18,17,19,19,19,19,19,19,19,19,21,21,20,20,21,21,22,23,21,21,22,23,25,26,27,28,29,29,31,32,32,32,32,32,36,36,35,33,33,33,33,33,33,35,37,40,43,45,47,47,47,51,57,60,61,62,63,64,64,67,72,76,78,78,76,74,74,74,75,75,76,80,86,90,86,93,96,92,89,89,90,88,91,92,93,95,96,97,97,97,104,107,114,126,141,154,162,166,176,174,171,166,162,162,165,168,176,177,179,182,186,189,191,193,194,194,186,172,159,150,137,125,113,118,123,126,130,134,132,126,124,126,132,141,154,165,172,175,163,153,138,125,115,107,100,95,93,85,80,80,80,85,100,116,127,133,137,133,117,94,72,59,50,55,62,68,70,65,57,51,47,57,73,93,116,135,141,138,125,113,97,84,78,76,75,74,76,81,88,93,99,101,94,84,80,74,71,76,81,79,74,72,64,61,59,61,65,67,65,62,51,44,39,37,34,31,33,37,44,51,61,68,71,72,72,73,71,73,70,62,54,49,42,35,39,45,54,61,65,63,58,54,43,40,37,34,32,29,26,23,25,26,28,33,39,44,46,46,45,43,41,39,39,40,42,43,41,41,40,39,38,37,37,37,36,34,34,36,41,43,43,41,40,37,34,30,29,29,31,32,45,45,47,49,50,48,43,38,39,37,35,34,36,38,38,38,40,43,49,56,63,70,74,76,65,58,47,36,28,24,24,24,31,34,39,43,44,41,37,33,29,29,29,29,29,28,29,29,26,26,26,27,30,33,36,37,36,33,30,29,30,31,31,30,30,31,32,34,35,35,35,35,32,31,29,28,29,31,34,37,43,42,40,38,35,32,29,27,32,33,34,35,36,36,36,36,37,37,38,38,40,45,52,57,58,62,63,58,54,49,42,34,30,29,28,30,32,35,35,35,33,33,33,35,40,45,51,55,55,55,53,49,44,40,39,38,35,31,27,24,23,22,21,19,22,24,27,31,34,35,36,36,36,36,35,35,36,37,38,39,43,47,52,57,58,56,52,49,39,37,35,31,29,28,27,27,30,32,36,39,40,39,37,36,28,25,22,20,20,19,17,15,15,15,14,13,13,13,14,14,15,15,14,13,13,14,14,15,15,15,16,16,16,17,17,17,19,19,19,19,19,18,16,16,17,18,18,19,18,17,15,14,12,13,13,13,13,12,11,10,8,8,8,7,7,6,6,6,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 10,10,10,11,11,12,12,12,12,12,12,13,13,14,14,14,15,15,15,16,16,17,17,17,18,18,18,19,19,20,20,20,21,21,21,21,21,22,23,24,24,25,25,26,27,28,29,29,29,30,31,30,30,30,33,35,37,38,40,40,40,39,38,37,40,42,45,48,49,48,46,45,51,55,59,61,66,71,70,65,68,65,67,72,75,73,72,74,73,77,81,82,85,87,83,76,76,75,74,73,74,76,78,80,84,84,85,85,86,87,88,89,87,93,104,120,138,155,170,178,189,190,190,188,186,186,187,188,186,190,194,195,197,203,214,222,222,219,208,191,176,163,145,130,122,119,118,120,121,119,117,117,113,117,125,135,147,160,172,180,175,163,147,134,123,114,103,95,90,80,72,69,71,77,88,99,114,122,128,123,111,95,75,60,46,52,62,73,80,80,74,69,55,54,57,70,89,104,110,111,99,91,81,73,70,69,68,67,71,73,76,77,78,80,83,86,73,80,85,84,85,87,81,71,63,61,59,61,68,74,70,62,55,46,38,35,33,33,38,45,52,58,66,72,74,72,70,68,64,58,54,52,48,41,38,40,40,46,53,59,65,68,63,55,46,46,43,37,31,26,24,25,24,24,26,29,34,38,40,41,41,41,40,37,35,36,39,41,39,43,45,43,43,45,42,38,35,33,31,31,35,38,41,41,37,35,31,28,27,28,29,31,34,38,44,47,47,46,45,44,39,39,39,39,38,36,34,33,39,45,54,65,74,80,82,82,70,60,47,37,27,21,23,29,39,42,47,50,49,43,36,31,29,28,27,26,26,27,29,30,33,32,31,31,31,33,35,36,36,34,32,29,28,27,27,28,30,31,33,35,36,37,38,38,37,35,34,34,36,40,45,49,52,53,52,46,38,31,29,29,34,35,37,38,40,41,42,42,40,39,38,37,39,41,44,46,50,49,46,43,39,36,33,31,26,27,29,31,33,33,33,32,37,35,34,36,40,47,55,59,53,52,51,48,44,39,34,31,29,29,28,27,26,25,24,24,21,22,25,28,30,32,33,33,37,38,40,42,44,45,46,46,50,51,54,57,57,53,46,41,36,34,32,29,28,27,27,28,31,33,37,40,40,38,35,33,31,29,26,23,21,20,20,21,15,15,15,15,15,15,15,15,15,15,14,13,12,12,11,11,15,15,16,16,16,17,17,17,18,19,19,19,19,18,17,16,16,17,17,17,17,16,15,14,12,12,12,11,11,10,10,10,7,7,7,6,6,5,5,5,5,5,5,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 10,10,10,11,11,12,12,12,12,12,12,13,13,14,14,14,15,15,15,16,16,17,17,17,18,18,18,19,19,20,20,20,21,21,21,21,22,24,25,26,26,26,27,27,28,29,29,29,29,30,31,30,30,31,34,36,40,41,44,46,46,46,44,43,46,47,50,51,52,51,49,48,52,58,62,65,70,75,73,68,72,69,70,74,77,76,78,81,78,84,91,94,98,99,94,86,79,76,72,69,70,74,79,82,86,86,85,84,83,83,83,83,84,92,106,122,140,158,175,185,197,200,205,206,206,204,204,204,202,204,207,207,208,213,222,230,234,231,219,201,185,171,153,138,129,125,121,119,116,112,108,106,106,111,120,133,147,162,176,183,177,166,152,139,129,118,107,99,86,77,68,65,65,69,78,88,103,112,120,117,108,94,76,61,49,53,63,76,86,90,86,81,64,60,58,64,75,85,87,86,84,79,72,68,69,71,73,73,68,69,70,69,69,71,74,77,83,89,93,91,89,86,77,67,57,58,59,63,73,80,76,68,55,46,39,36,37,38,43,50,56,61,67,72,73,70,67,65,56,51,48,47,44,38,37,40,43,50,57,63,69,72,67,58,50,48,43,37,31,28,26,26,23,23,24,26,29,31,32,33,34,34,34,32,30,31,34,37,38,44,47,47,47,49,46,41,36,34,32,32,35,39,41,41,38,36,32,29,28,29,30,31,33,37,43,46,46,45,44,44,41,42,42,42,40,38,35,34,39,44,54,66,75,80,80,80,67,57,45,36,28,24,28,34,42,45,49,50,48,43,36,31,27,27,27,27,28,30,31,33,35,35,34,33,33,34,35,35,35,34,31,29,27,26,27,27,30,31,34,37,39,39,39,39,39,37,36,36,39,43,48,51,54,54,52,46,39,33,31,32,35,36,39,41,43,44,44,43,41,40,38,36,36,37,39,41,41,40,37,34,31,28,26,25,27,29,31,34,36,36,35,35,35,35,35,37,41,48,54,58,55,54,51,47,43,37,33,31,31,31,30,30,28,27,25,25,21,22,24,26,29,31,33,34,38,39,42,45,47,49,51,51,52,53,54,55,54,49,42,36,32,31,29,27,26,27,28,28,30,32,36,40,41,40,37,36,33,31,28,25,23,21,21,21,17,17,17,17,17,17,17,17,16,15,15,14,13,12,12,11,15,15,15,16,16,16,17,17,18,18,19,19,18,17,16,16,16,16,17,17,16,15,14,14,12,12,11,11,11,10,10,10,7,7,7,6,6,5,5,5,5,5,5,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 10,10,10,11,11,12,12,12,12,12,12,13,13,14,14,14,15,15,15,16,16,17,17,17,18,18,18,19,19,20,20,20,21,21,21,22,23,25,27,28,28,29,29,29,29,29,29,29,29,30,31,30,30,32,36,38,45,48,51,55,57,57,55,54,55,55,56,56,55,54,53,52,55,62,69,74,79,83,80,73,73,69,67,70,72,74,78,84,88,97,107,115,120,121,114,105,90,84,76,69,69,75,83,89,100,99,98,96,94,92,90,89,89,99,113,127,142,161,181,194,212,218,226,231,232,230,228,227,223,224,224,222,221,224,231,237,246,242,230,212,195,179,162,150,140,136,129,122,116,110,104,99,101,105,115,128,144,161,174,181,176,168,156,144,132,120,107,98,83,74,65,62,60,62,69,77,89,99,108,110,105,94,77,63,52,54,62,78,94,103,102,98,85,77,69,67,70,73,73,71,71,68,64,64,67,72,75,77,72,72,71,69,68,69,72,75,91,97,100,97,92,84,72,62,52,56,62,69,80,86,82,73,56,48,41,40,42,44,49,55,60,63,67,70,70,67,63,60,51,46,43,43,42,39,40,43,47,55,63,69,74,76,71,63,55,50,42,36,32,30,29,28,27,27,28,27,27,26,25,25,28,29,28,27,26,28,32,35,38,45,51,53,55,56,53,48,40,37,34,34,37,40,41,42,39,37,34,32,30,31,32,33,34,38,42,44,44,44,44,44,45,46,47,47,46,42,38,36,38,43,53,65,75,79,78,76,63,53,41,34,30,28,33,40,45,47,49,49,46,41,34,30,25,26,27,28,31,33,36,37,39,39,38,37,36,35,35,34,34,33,30,28,26,25,26,26,29,32,36,40,42,42,41,40,40,40,39,40,42,46,50,53,55,54,51,45,39,35,34,35,36,39,42,44,46,46,45,44,42,40,37,34,32,32,33,34,32,31,29,26,25,23,23,23,31,33,36,38,39,39,37,36,34,34,35,38,42,48,53,57,58,56,52,47,42,37,33,31,32,33,33,33,32,30,27,26,23,23,23,25,27,30,33,35,39,41,44,48,52,55,57,58,56,56,55,53,50,44,36,30,26,26,25,25,25,27,29,30,30,32,36,39,41,40,39,37,34,32,29,26,23,22,21,21,19,19,19,19,19,19,19,19,17,16,16,15,14,13,13,12,14,14,15,15,15,16,16,16,17,17,18,18,17,17,16,15,15,15,16,16,15,15,14,13,12,11,11,11,10,10,10,10,7,7,7,6,6,5,5,5,5,5,5,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 10,10,10,11,11,12,12,12,12,12,12,13,13,14,14,14,15,15,15,16,16,17,17,17,18,18,18,19,19,20,20,20,20,20,21,22,24,26,28,30,31,30,30,30,30,30,29,29,29,30,31,31,32,34,39,42,51,55,61,66,69,69,68,67,64,62,61,59,57,55,55,54,58,66,76,83,90,93,89,82,76,71,68,69,70,73,81,90,101,112,127,138,146,149,142,132,117,108,96,86,84,90,101,108,119,121,123,123,121,116,111,108,109,117,127,136,147,166,189,206,231,236,244,248,249,248,247,247,240,239,237,234,231,232,236,239,247,241,230,215,199,184,172,164,155,153,145,135,126,118,108,100,99,101,109,121,137,153,165,172,172,165,155,142,128,113,98,88,78,71,64,62,61,62,67,74,82,92,101,104,102,93,78,64,54,53,59,76,97,112,115,112,103,94,82,74,72,72,70,68,68,66,65,65,68,71,75,77,78,78,76,74,72,73,76,79,92,97,100,97,89,77,65,57,50,58,68,78,88,92,86,76,61,51,44,44,47,49,53,58,60,61,64,66,66,64,60,56,51,46,43,43,43,42,45,49,53,61,69,73,77,77,72,65,58,51,42,35,32,32,32,31,37,38,39,37,33,29,25,24,26,26,27,27,27,30,34,38,41,49,57,61,63,65,61,55,46,43,40,39,40,42,43,43,39,38,36,34,33,34,35,36,37,40,43,44,44,43,44,45,49,51,54,55,53,48,43,39,37,42,51,63,74,78,76,72,61,50,39,33,31,31,36,43,46,47,47,46,42,36,31,28,24,25,27,31,34,38,41,43,43,43,42,40,38,36,35,34,34,32,30,27,25,25,25,25,29,32,38,42,45,44,43,41,40,40,40,42,44,47,49,51,52,50,46,41,37,35,35,36,38,40,43,46,47,46,45,43,41,38,34,30,28,27,27,27,27,27,27,27,28,29,30,31,38,39,41,42,41,39,37,35,32,33,35,38,43,48,53,55,58,56,52,48,43,39,36,34,33,34,35,35,34,32,30,28,25,24,24,25,27,31,35,37,41,43,47,52,57,60,63,64,60,58,55,51,46,39,31,25,23,23,23,23,25,28,31,32,32,34,36,39,39,38,37,35,33,31,28,24,22,20,19,19,19,19,19,19,19,19,19,19,17,17,16,16,15,14,13,13,13,14,14,14,15,15,15,15,16,16,17,17,16,15,14,14,14,14,15,15,14,13,12,12,11,11,11,10,10,10,9,9,7,7,7,6,6,5,5,5,5,5,5,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 10,10,10,11,11,12,12,12,12,12,12,13,13,14,14,14,15,15,15,16,16,17,17,17,18,18,18,19,19,20,20,20,20,20,21,22,24,26,28,30,31,31,31,30,30,30,30,30,31,31,32,33,34,38,43,47,58,62,70,77,81,81,79,78,71,68,64,59,56,55,55,55,61,71,83,92,101,105,101,93,88,82,77,76,76,80,91,102,114,128,145,160,172,177,172,163,150,141,127,116,113,119,129,136,145,149,154,158,157,151,144,140,140,144,150,154,163,181,206,225,247,250,254,255,255,255,255,255,251,250,248,244,240,238,238,239,241,234,225,213,201,190,184,182,178,178,171,157,143,131,115,101,96,96,100,111,127,144,156,162,167,162,152,139,122,104,87,77,69,64,61,63,64,65,69,75,82,90,97,100,99,93,78,65,54,51,54,70,93,111,117,117,111,102,88,77,71,68,66,65,69,69,70,70,71,73,76,78,79,79,79,77,76,76,79,82,90,92,94,90,79,65,55,50,49,61,76,89,98,100,91,80,65,55,47,47,51,53,55,58,57,56,57,59,62,61,57,54,52,46,43,43,44,44,48,54,58,66,73,74,74,74,69,63,56,50,42,35,32,32,33,35,45,49,52,51,44,36,30,27,25,26,27,28,30,33,39,43,47,55,64,68,71,73,68,62,55,51,46,44,44,44,44,43,39,38,37,37,37,38,39,40,42,43,45,45,43,43,44,45,52,55,59,61,60,54,47,43,37,40,48,60,70,75,72,68,60,49,38,35,34,34,37,42,45,44,43,40,35,31,26,24,23,25,28,33,38,42,46,47,47,45,43,41,38,36,34,33,34,32,30,27,25,25,25,25,30,33,38,42,45,44,42,41,39,39,40,41,43,45,46,46,46,43,39,36,35,35,35,36,39,40,42,44,44,43,41,40,37,35,31,27,24,23,23,24,25,27,30,33,36,39,41,42,45,45,44,42,40,37,34,33,32,33,35,38,43,48,52,55,58,56,54,50,46,42,39,38,33,34,35,35,35,34,32,32,29,28,28,29,31,35,39,41,44,46,50,54,58,62,64,65,62,59,54,49,43,36,29,23,22,22,22,23,26,29,32,34,34,35,36,37,36,34,32,30,30,28,25,21,19,17,17,17,17,17,17,17,17,17,17,17,17,17,16,16,15,14,13,13,13,13,13,13,14,14,14,15,15,15,15,15,15,14,13,13,13,13,13,13,13,12,11,11,11,11,10,10,10,9,9,9,7,7,7,6,6,5,5,5,5,5,5,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 10,10,10,11,11,12,12,12,12,12,12,13,13,14,14,14,15,15,15,16,16,17,17,17,18,18,18,19,19,20,20,20,21,21,21,22,23,25,27,28,30,30,30,30,30,30,30,30,33,33,34,35,37,41,48,52,63,69,78,86,90,90,88,86,77,73,66,59,55,53,54,55,64,75,88,100,110,116,112,106,98,92,86,83,82,85,98,110,126,140,159,176,192,201,199,193,177,169,158,149,147,152,161,167,186,191,197,201,202,197,192,187,180,182,183,185,192,208,229,245,255,255,255,255,254,254,255,255,255,255,255,252,248,244,240,238,234,227,218,210,202,197,198,203,207,210,203,186,167,149,125,104,93,91,92,101,118,136,150,157,162,158,148,134,116,96,80,71,58,55,56,62,65,67,72,77,84,89,93,95,95,90,77,64,53,49,50,63,83,101,111,114,116,107,93,81,72,67,64,63,69,71,73,74,74,76,79,81,82,83,83,82,81,80,82,84,86,86,84,80,68,54,47,47,53,68,87,102,110,109,97,85,66,56,47,49,53,55,56,58,55,53,52,54,58,59,55,52,49,44,40,41,42,44,50,57,63,69,73,71,67,66,62,57,50,47,41,35,30,30,34,37,51,57,64,65,57,46,38,33,26,28,29,31,34,38,44,49,55,63,71,75,77,78,74,68,62,57,52,47,45,44,42,41,38,38,38,39,41,42,44,45,45,46,46,43,41,40,41,43,50,54,60,64,63,57,49,44,37,38,43,54,66,71,69,64,60,49,40,39,39,39,40,43,43,41,38,34,30,26,23,22,23,25,30,36,41,46,49,51,48,46,42,39,36,34,34,34,34,33,30,28,26,25,26,26,31,33,37,40,42,41,40,39,38,39,40,41,41,41,41,41,40,38,36,35,37,38,38,38,39,39,39,38,37,36,34,34,32,30,27,24,23,23,23,24,27,30,35,41,46,48,49,49,48,46,43,39,36,33,32,32,33,33,34,37,41,47,52,55,59,59,57,54,50,45,41,38,32,32,32,33,33,34,35,35,33,33,34,35,38,41,44,46,48,49,52,55,58,59,61,61,59,55,50,45,40,34,27,23,22,22,22,23,25,28,30,32,33,34,34,33,32,29,27,26,26,24,21,18,16,15,15,16,16,16,16,16,16,16,16,16,17,16,16,15,14,13,13,12,12,12,12,13,13,13,14,14,13,14,14,14,14,13,12,11,11,12,12,12,12,11,10,9,10,10,10,10,9,9,9,8,7,7,7,6,6,5,5,5,5,5,5,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 10,10,10,11,11,12,12,12,12,12,12,13,13,14,14,14,15,15,15,16,16,17,17,17,18,18,18,19,19,20,20,20,21,21,21,21,22,24,25,26,28,28,28,29,30,30,31,31,34,35,36,37,39,44,51,57,67,73,83,92,96,96,93,90,82,77,68,60,55,53,54,55,67,78,92,104,116,124,122,116,108,102,96,92,89,92,104,118,136,149,168,187,205,218,221,217,208,203,196,192,192,197,204,209,230,232,235,238,238,237,236,234,226,225,223,222,226,235,247,255,255,255,255,255,253,253,255,255,255,255,255,255,252,246,239,235,228,220,212,206,201,200,208,219,233,239,235,217,196,173,143,117,99,93,90,96,111,129,143,150,154,150,141,127,109,90,75,67,52,51,55,63,68,70,74,80,84,86,88,88,89,86,75,63,52,49,49,56,72,90,103,109,113,105,93,82,74,69,66,65,70,73,75,75,74,74,76,78,81,83,84,83,80,78,77,77,77,74,73,70,61,51,50,56,67,83,103,116,120,114,98,83,64,53,46,48,55,58,59,60,56,53,51,52,56,57,54,50,46,40,37,39,42,46,54,62,66,71,72,65,59,56,53,49,42,43,42,35,28,27,33,40,55,65,76,79,71,58,48,42,31,33,35,38,41,47,53,58,63,70,77,79,81,81,77,71,66,61,54,48,45,42,39,37,36,37,38,41,43,46,48,49,47,47,45,41,37,36,37,38,45,51,59,64,63,57,49,43,37,36,39,49,61,68,66,62,60,50,43,44,47,47,46,48,42,39,35,31,27,24,22,22,23,26,31,38,44,48,51,53,49,45,40,36,33,32,33,34,35,34,31,29,27,26,27,27,32,33,35,37,38,38,37,37,38,39,40,41,41,39,37,36,38,36,36,38,42,44,44,43,38,37,34,32,29,28,27,27,27,26,23,22,22,23,25,27,33,37,44,51,55,55,54,52,46,43,39,34,32,31,32,33,34,33,33,35,39,46,52,57,63,63,62,59,54,47,40,35,30,29,29,29,31,33,36,38,37,38,40,42,44,47,49,50,51,52,53,54,55,55,55,55,53,49,44,39,35,31,26,22,22,22,21,21,23,25,27,28,29,30,30,29,28,26,25,24,23,21,19,17,15,15,16,16,16,16,16,16,16,16,16,16,16,15,15,14,13,12,12,11,11,11,12,12,12,13,13,13,13,13,13,13,13,12,11,10,11,11,11,11,11,10,9,8,10,10,10,9,9,9,8,8,7,7,7,6,6,5,5,5,5,5,5,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 10,10,10,11,11,12,12,12,12,12,12,13,13,14,14,14,15,15,15,16,16,17,17,17,18,18,18,19,19,20,20,20,21,21,21,21,21,22,23,24,26,27,27,28,29,30,31,32,36,36,37,38,41,46,54,59,69,76,86,94,99,99,95,92,85,79,70,61,55,53,54,56,68,79,94,107,120,128,128,123,119,114,108,103,99,101,114,128,141,154,172,191,211,227,233,230,238,236,233,232,234,239,245,249,254,254,253,253,253,255,255,255,255,255,253,250,249,251,254,255,254,255,255,255,254,253,254,255,254,254,255,255,252,245,236,230,225,215,207,203,199,200,212,226,247,255,255,239,218,194,161,132,107,99,92,94,106,123,136,142,146,143,135,121,103,86,72,65,52,52,56,65,71,74,78,83,81,83,83,82,84,83,73,61,52,49,48,53,66,82,96,105,102,96,87,77,71,67,66,66,73,75,77,76,72,70,71,72,74,76,78,76,72,68,65,64,66,64,63,64,58,53,59,69,82,98,117,126,126,114,94,76,61,51,44,48,55,59,61,62,59,55,51,52,56,56,53,48,44,39,36,39,44,49,59,68,68,72,70,62,54,50,47,44,37,41,42,35,26,25,32,41,59,71,84,89,81,68,56,50,37,39,42,45,49,54,61,66,68,75,80,81,82,83,79,73,68,62,55,48,43,40,36,34,35,36,38,42,45,48,50,52,47,46,43,39,34,32,33,35,41,48,56,62,62,56,47,41,38,35,37,46,58,65,64,60,59,51,45,48,53,53,51,52,42,39,34,29,25,23,22,22,24,27,32,39,45,49,52,54,49,45,39,33,30,31,33,35,36,34,32,29,28,27,27,28,33,33,34,35,36,36,35,35,39,40,41,42,41,38,35,34,38,37,37,41,47,50,49,47,38,35,31,27,24,23,23,23,24,23,21,21,22,24,27,29,40,45,52,58,61,60,57,54,44,40,35,31,29,30,33,35,35,33,32,34,38,45,53,57,67,67,66,63,56,47,38,32,28,27,26,26,29,33,37,40,40,41,44,46,49,51,52,52,53,54,54,54,53,52,51,51,48,45,40,35,32,29,25,22,22,21,20,20,21,22,24,25,26,26,26,27,26,25,24,24,22,20,18,17,16,16,17,17,17,17,17,17,17,17,17,17,15,15,14,13,12,12,11,11,11,11,11,12,12,12,13,13,12,12,13,13,12,12,11,10,10,10,11,11,10,10,9,8,10,10,10,9,9,8,8,8,7,7,7,6,6,5,5,5,5,5,5,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 10,10,11,11,11,12,12,12,11,11,12,12,12,13,13,13,14,14,15,15,15,16,16,16,15,15,16,17,18,18,19,19,20,20,20,20,20,20,20,20,22,23,24,24,25,27,31,34,32,34,38,41,44,48,52,56,67,71,79,90,98,101,97,93,87,79,68,60,57,57,57,56,68,78,93,108,119,127,131,134,126,117,114,116,115,113,124,140,149,161,179,197,212,227,239,247,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,253,254,255,254,253,253,249,253,255,254,249,242,233,225,214,209,204,199,193,195,212,232,251,253,253,251,241,216,176,144,119,105,94,95,105,117,129,138,147,145,137,122,104,88,77,73,59,58,59,63,69,75,78,79,78,78,77,75,74,72,71,71,57,58,60,63,69,78,88,95,99,96,90,82,73,67,65,65,77,79,81,80,76,72,68,67,65,67,68,67,62,59,60,61,63,62,60,56,55,61,74,84,101,118,131,130,123,111,88,65,52,48,45,49,57,64,66,65,60,58,57,56,55,53,49,45,43,37,32,34,44,57,66,71,79,74,67,58,45,34,32,36,38,42,44,38,29,27,35,43,58,70,85,90,83,70,58,52,40,42,44,49,55,61,66,70,72,75,79,82,82,79,75,72,62,57,50,43,37,33,32,32,28,31,37,42,47,49,51,51,46,43,39,34,31,30,29,29,34,43,54,61,60,52,43,37,32,38,45,50,58,65,64,60,59,55,53,53,57,58,57,54,47,41,33,26,22,21,21,20,23,27,33,40,45,49,51,52,47,43,37,33,31,33,37,40,41,40,38,33,28,25,25,26,29,32,35,35,33,32,35,39,38,41,44,45,43,41,39,39,40,44,50,57,61,61,56,52,47,39,29,24,23,23,23,22,22,22,21,21,23,26,30,32,40,45,52,57,58,55,50,46,33,31,29,29,31,34,36,36,35,34,33,35,39,47,54,59,63,63,63,59,52,43,34,28,21,21,22,25,28,32,36,38,42,43,45,47,49,51,53,54,52,51,49,47,45,43,41,40,35,34,33,31,28,25,22,20,18,18,18,19,20,21,22,23,24,23,23,22,21,21,20,20,19,18,16,14,14,14,15,16,15,15,16,17,17,17,16,16,13,13,13,12,12,11,11,11,13,12,12,11,11,12,12,13,12,12,12,11,11,10,10,10,11,11,11,10,10,9,9,9,10,10,10,9,9,8,8,8,8,8,8,7,7,6,6,6,6,6,6,5,5,4,4,4,5,5,5,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 9,10,10,10,11,11,11,12,11,11,11,11,12,12,12,13,13,13,13,14,14,15,15,15,14,14,15,16,17,17,18,18,20,20,20,20,20,20,20,20,20,22,23,23,24,26,30,33,32,35,38,41,43,47,51,55,64,67,75,85,94,97,94,91,90,83,73,67,64,64,63,63,73,83,97,111,122,130,137,140,137,129,127,129,127,124,133,148,156,165,181,197,212,227,240,248,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,251,243,234,225,218,206,202,198,194,187,188,204,221,243,249,255,254,244,219,180,149,125,111,99,99,108,119,130,139,143,141,134,122,106,92,82,78,66,65,65,67,72,76,78,78,72,70,68,66,66,68,69,71,65,66,67,69,73,80,88,94,100,98,93,86,78,74,72,73,77,79,81,79,75,69,65,64,60,62,63,61,57,54,55,56,54,56,58,58,62,71,84,95,108,122,130,126,116,103,80,59,46,43,43,49,58,66,68,68,66,64,62,61,59,55,51,47,41,37,34,39,51,65,75,81,81,74,64,53,40,29,29,34,40,46,49,45,36,31,34,40,52,64,79,85,80,69,58,53,41,43,45,49,54,60,64,67,72,74,77,79,78,74,70,67,57,53,47,40,35,32,31,31,29,32,37,43,47,49,50,50,45,42,38,33,30,29,29,30,35,42,52,58,56,49,42,37,32,40,48,54,62,68,67,61,57,54,52,54,58,60,59,57,49,42,33,26,22,21,21,21,23,27,32,39,44,49,51,52,48,44,39,35,33,36,39,42,42,41,38,33,27,25,25,26,30,33,36,36,34,34,37,41,41,44,47,48,46,44,42,42,47,51,58,66,70,70,64,60,50,43,33,28,27,28,27,26,28,27,25,25,26,28,30,32,40,44,49,52,52,48,42,37,28,26,25,27,31,35,37,37,34,33,33,34,39,46,53,58,63,62,60,55,47,38,30,26,19,20,22,25,28,33,37,39,42,44,46,48,49,50,51,51,47,46,44,42,39,37,35,34,31,30,29,27,25,22,20,19,16,16,16,17,18,19,21,22,23,23,23,22,21,21,21,20,21,20,18,16,15,15,16,16,16,16,17,17,17,16,15,15,13,13,12,12,12,11,11,11,12,12,12,12,12,12,12,12,12,12,12,11,11,11,10,10,11,11,11,10,10,9,9,9,10,10,9,9,9,8,8,8,8,8,7,7,7,6,6,6,6,6,6,5,5,4,4,4,5,5,5,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 8,9,9,9,10,10,10,11,10,10,10,11,11,12,12,12,11,12,12,12,13,13,13,14,13,13,14,14,15,16,17,17,20,20,19,19,19,19,19,19,19,20,21,22,22,24,28,31,33,35,39,41,43,46,49,52,58,61,68,77,85,89,89,87,90,85,79,74,72,72,71,71,80,87,99,111,123,133,141,146,149,144,143,146,144,141,148,160,167,174,185,199,213,228,242,250,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,253,255,255,255,255,255,255,255,255,255,248,239,228,217,208,203,194,193,191,186,180,180,191,204,224,235,245,247,237,213,178,151,130,116,104,104,111,121,131,138,137,136,131,122,109,97,88,84,74,73,71,71,73,75,75,74,64,61,57,55,57,63,69,74,82,83,84,84,86,90,97,102,106,104,100,94,87,83,81,82,79,81,82,79,73,67,62,60,56,57,56,54,51,49,49,50,49,53,58,63,70,80,92,102,112,121,124,115,102,88,67,49,39,39,42,50,61,69,73,73,74,71,68,65,62,57,51,47,39,36,36,44,58,74,85,90,85,75,62,48,33,24,26,34,45,52,59,56,46,37,35,36,45,56,70,77,74,66,57,52,42,43,45,48,52,56,59,61,67,68,71,72,70,66,62,59,50,47,43,37,33,31,31,31,31,34,39,44,47,48,48,47,44,41,36,31,28,28,30,31,36,42,50,54,52,47,42,39,37,45,54,61,68,72,69,62,54,52,51,55,60,64,63,61,52,44,34,26,22,21,21,22,23,26,31,37,43,47,51,52,49,45,41,37,37,39,43,46,44,42,38,32,27,24,25,27,32,36,39,39,37,37,40,43,46,49,53,54,51,49,47,46,53,58,67,76,81,79,74,68,57,49,40,35,35,36,35,34,36,34,32,30,29,29,31,32,37,40,43,44,42,37,30,26,20,20,21,25,31,36,39,39,35,34,34,35,40,46,53,57,63,60,55,48,40,32,25,21,18,19,21,25,29,33,37,39,42,44,46,48,49,48,47,45,39,38,37,34,32,30,28,27,26,25,25,24,22,20,18,17,14,15,15,16,17,19,21,22,24,24,23,23,23,22,22,22,24,22,20,18,16,16,16,16,17,17,17,17,16,15,14,13,12,12,12,12,11,11,10,10,11,12,13,14,14,13,12,11,12,12,12,12,11,11,11,10,11,11,11,10,10,9,9,9,10,9,9,9,8,8,8,8,8,7,7,7,6,6,6,6,6,6,6,5,5,4,4,4,5,5,5,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 8,8,8,9,9,9,10,10,10,10,10,10,11,11,12,12,10,11,11,11,12,12,12,13,12,13,13,14,15,15,16,16,20,20,20,20,19,19,19,19,18,19,20,21,21,23,27,31,33,36,39,41,42,44,46,48,51,54,60,67,74,79,81,82,86,84,82,80,80,80,79,79,85,91,101,111,122,134,144,151,157,156,159,164,163,161,165,174,180,184,191,202,216,232,246,254,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,253,255,255,254,252,253,254,254,251,242,231,219,205,192,185,183,181,183,183,180,174,172,178,186,197,209,221,223,214,195,168,148,131,117,106,107,114,122,130,136,133,132,127,119,109,99,91,86,80,77,74,73,72,71,69,67,59,55,51,49,53,63,73,80,96,97,98,98,99,103,107,111,117,115,111,104,96,90,88,87,83,84,84,80,73,65,60,57,53,53,52,50,48,47,47,47,51,55,61,68,74,82,91,98,106,110,107,96,83,71,55,41,35,38,44,54,65,74,79,80,80,77,73,68,64,57,51,46,39,37,39,49,64,79,89,94,89,77,61,45,30,23,27,36,51,60,68,66,56,44,36,34,41,50,61,68,66,60,53,49,41,42,43,45,47,49,51,52,55,57,60,62,61,59,55,53,48,45,41,38,35,33,33,33,33,36,41,45,48,48,46,45,42,38,33,29,27,29,31,33,40,44,50,52,51,48,45,44,45,54,63,70,75,75,68,59,51,50,51,55,62,66,66,64,54,46,35,27,22,22,22,23,23,25,29,35,40,46,50,52,50,47,43,40,40,43,46,49,45,43,38,31,26,24,26,29,36,39,42,42,40,40,42,46,51,54,58,59,57,53,51,50,55,61,71,81,87,86,80,74,64,57,49,45,45,46,45,44,43,41,37,33,31,30,30,31,31,33,35,36,33,28,22,18,16,17,20,26,33,38,41,42,36,36,36,38,42,48,54,58,61,57,51,42,33,26,21,18,17,18,21,25,29,33,36,38,40,42,45,46,46,44,41,39,33,32,31,29,26,24,23,22,22,23,22,22,21,19,18,17,16,16,17,18,20,22,24,25,27,26,26,26,25,25,25,25,26,24,22,19,17,16,16,16,18,18,18,17,16,15,13,13,12,12,12,12,11,11,11,10,10,12,14,15,15,14,12,10,13,13,12,12,12,11,11,11,11,11,11,10,10,9,9,9,9,9,9,8,8,8,7,7,7,7,7,6,6,6,5,5,6,6,6,5,5,4,4,4,5,5,5,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 8,8,8,9,9,9,10,10,10,10,10,11,11,12,12,12,11,11,11,12,12,12,13,13,13,13,14,15,16,16,17,17,22,21,21,21,20,20,19,19,18,19,21,21,22,24,28,31,34,37,40,42,42,42,43,45,45,47,52,56,62,67,72,75,81,83,86,88,89,89,90,90,94,98,106,115,125,137,148,156,164,168,175,182,183,182,185,190,192,194,198,206,220,236,250,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,254,255,255,251,250,254,255,253,237,224,209,197,182,169,163,165,166,172,176,174,169,167,169,171,172,181,190,190,184,173,157,144,128,116,108,109,116,122,127,131,131,127,121,113,104,95,87,83,82,79,76,73,72,69,65,62,57,53,49,48,54,65,78,86,99,102,104,106,107,110,114,118,126,124,119,111,102,94,90,89,87,87,87,82,74,65,59,56,53,52,50,49,48,49,49,49,53,56,62,68,74,80,85,89,89,89,85,75,65,56,47,39,39,42,49,59,69,78,84,86,85,82,77,73,67,60,53,48,45,44,47,56,69,82,90,93,89,77,60,44,31,25,31,41,56,64,72,71,61,48,38,34,39,46,54,59,58,53,47,43,39,39,40,40,41,41,41,41,41,44,48,51,53,54,53,52,49,48,44,41,38,37,36,35,36,39,43,47,48,47,44,42,38,35,32,29,29,31,34,36,44,48,52,54,53,52,51,51,57,65,73,78,79,76,66,55,49,49,50,56,63,67,67,65,54,47,36,28,24,24,24,24,23,25,28,32,38,44,49,52,50,48,45,42,42,44,47,49,46,43,37,30,25,25,28,32,40,43,46,45,42,41,43,46,54,57,61,63,60,56,53,51,56,63,73,84,90,90,84,79,70,64,57,54,54,55,54,52,47,44,40,35,32,30,30,30,27,28,30,30,29,25,21,19,18,20,24,30,37,41,43,43,38,38,38,40,44,50,55,58,59,55,47,38,30,24,20,18,18,20,22,25,29,32,34,35,37,38,41,42,41,38,34,32,29,29,27,26,24,23,22,21,22,23,23,22,21,20,19,18,19,20,21,22,25,27,29,31,31,30,30,29,28,27,27,27,25,24,21,18,17,16,16,16,18,18,18,17,16,15,13,13,13,13,13,12,12,12,11,11,11,12,14,16,16,14,12,11,13,13,13,12,12,12,11,11,11,11,11,10,10,9,9,9,9,9,8,8,8,7,7,7,7,7,6,6,6,5,5,5,6,6,6,5,5,4,4,4,5,5,5,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 8,9,9,9,10,10,10,11,11,11,12,12,12,13,13,13,13,13,13,13,14,14,15,15,15,15,16,17,18,18,19,19,24,23,23,22,21,21,20,20,20,21,22,23,23,26,29,33,35,38,41,42,41,40,40,41,40,42,44,47,50,56,63,67,77,83,90,95,98,100,101,102,104,108,114,121,130,142,154,161,171,179,190,198,201,200,201,203,200,199,201,209,223,239,252,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,254,255,255,252,253,255,255,246,221,205,189,177,162,148,144,148,149,158,166,167,164,162,160,157,153,159,162,161,159,156,148,140,128,118,112,115,120,123,123,125,125,119,110,102,94,86,79,75,79,77,74,72,70,66,62,59,54,51,47,47,54,66,78,87,100,103,107,110,113,115,119,122,125,124,119,112,103,96,91,90,88,89,88,83,74,65,59,56,51,49,47,47,49,50,51,51,52,54,59,64,70,74,77,78,69,67,63,58,53,49,45,43,47,50,55,63,72,79,85,89,88,85,80,76,70,64,56,51,51,51,53,61,73,82,87,88,82,71,57,43,31,27,34,44,58,64,70,68,60,48,39,35,38,42,47,51,51,47,42,39,38,38,38,37,36,34,32,31,30,33,39,44,49,52,53,54,54,52,50,46,43,40,38,38,39,41,46,49,49,46,42,39,33,32,31,31,32,34,37,39,46,50,54,57,57,57,58,59,66,74,80,83,82,77,65,53,49,48,50,56,63,66,65,63,52,46,37,31,27,26,26,25,23,24,26,30,36,42,49,52,50,48,45,43,42,44,46,47,45,42,36,29,25,26,31,35,44,47,49,47,43,41,43,46,54,58,63,64,61,57,53,51,56,62,72,83,90,91,86,81,73,67,61,58,59,60,59,57,49,46,41,37,33,31,31,31,28,29,31,32,31,29,27,26,27,28,32,37,42,45,44,43,38,38,39,41,45,50,54,57,56,52,45,37,30,25,22,21,21,22,24,26,28,29,30,30,33,34,35,35,34,31,28,26,26,26,26,25,25,24,24,24,24,24,24,23,22,21,19,19,21,21,23,25,27,30,33,34,34,34,32,31,29,28,27,26,23,21,19,16,15,15,15,15,17,17,17,17,16,15,14,13,15,15,14,14,14,13,13,13,12,13,14,15,15,14,13,12,14,13,13,13,12,12,12,12,11,11,11,10,10,9,9,9,8,8,8,8,7,7,7,6,6,6,6,6,5,5,5,4,6,6,6,5,5,4,4,4,5,5,5,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 9,10,10,10,11,11,11,12,12,12,13,13,14,14,14,14,15,15,15,16,16,16,17,17,18,18,19,19,20,21,21,22,26,25,25,24,23,22,21,21,22,23,25,25,25,28,32,35,36,38,41,42,41,39,38,39,37,38,39,39,41,47,55,61,71,79,90,99,103,106,108,109,110,113,119,125,134,144,155,162,175,186,200,208,210,210,208,207,202,200,201,209,223,239,251,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,253,255,255,253,254,255,243,225,205,188,170,158,144,128,124,130,132,144,155,158,158,156,151,145,141,142,142,140,142,145,142,136,133,125,120,123,126,124,121,119,116,108,97,88,81,76,71,67,70,68,66,65,63,60,56,53,47,45,44,45,52,62,73,81,94,97,102,105,108,110,113,115,114,114,112,108,102,96,94,93,88,88,87,82,73,64,58,54,48,45,42,43,47,50,51,51,53,54,56,59,63,65,66,65,54,52,49,48,47,47,49,51,54,57,61,65,71,78,84,88,85,82,78,73,69,62,55,51,52,51,54,61,70,78,80,80,71,62,50,40,30,27,33,43,57,60,63,60,53,44,38,35,36,38,42,45,46,44,41,38,38,38,37,36,33,30,27,25,26,29,35,42,48,53,56,57,59,57,54,50,46,42,39,38,40,43,47,50,49,45,40,36,28,29,30,33,35,38,41,42,46,50,56,59,61,61,63,64,71,78,84,85,84,78,66,54,49,49,50,56,62,64,62,59,49,45,38,33,30,29,27,26,23,23,25,28,34,41,48,52,50,48,45,42,41,42,44,45,44,41,34,28,25,27,33,38,48,50,51,48,43,41,42,44,53,58,62,64,61,56,51,49,52,57,66,77,84,86,83,79,71,66,60,58,59,60,59,57,50,47,43,39,35,34,34,34,35,36,37,38,37,37,35,34,37,38,41,45,48,48,45,42,36,37,38,40,44,48,52,55,53,50,44,38,32,28,26,25,25,26,27,27,27,27,26,25,29,29,29,28,27,25,24,22,24,24,24,25,25,26,26,26,25,25,25,24,23,21,19,18,19,20,21,24,27,30,33,34,36,35,33,31,28,26,24,23,19,18,16,14,13,13,14,14,16,16,17,17,17,16,15,15,16,16,16,15,15,15,14,14,14,14,14,14,14,14,14,14,14,14,13,13,13,12,12,12,11,11,11,10,10,9,9,9,8,8,8,7,7,7,6,6,6,6,6,5,5,5,4,4,6,6,6,5,5,4,4,4,5,5,5,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 10,10,11,11,11,12,12,12,13,13,14,14,14,15,15,15,16,16,17,17,18,18,18,18,19,20,20,21,22,23,23,23,27,26,26,25,24,23,22,22,24,25,26,26,27,29,33,36,36,39,42,42,40,38,37,37,36,36,36,35,36,42,51,58,65,74,87,98,103,106,109,111,111,114,119,125,133,143,153,160,176,188,203,211,212,211,208,205,201,199,200,209,223,239,250,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,253,255,255,254,253,249,227,203,195,176,158,146,131,114,110,117,120,135,148,152,153,152,145,137,133,133,131,130,134,139,138,132,139,131,127,129,131,126,119,116,109,100,88,79,73,69,65,62,61,59,58,57,56,54,49,46,42,41,40,42,49,58,68,74,80,84,89,92,94,96,98,100,103,105,105,103,100,97,96,96,86,87,86,81,72,63,56,53,45,41,39,40,45,49,51,50,57,56,56,56,57,57,56,54,48,45,43,44,46,48,53,57,59,61,63,66,70,76,82,87,79,76,72,68,64,58,52,47,48,47,50,57,66,72,73,72,62,54,45,37,29,25,32,42,55,56,57,54,47,40,36,34,34,35,38,42,44,44,41,38,39,39,38,36,33,28,25,23,25,29,35,42,49,54,57,59,62,60,56,52,47,43,39,37,41,44,48,50,49,45,39,35,25,27,30,34,38,41,43,43,46,50,56,60,62,63,65,66,73,79,85,86,85,80,68,56,50,49,51,56,61,63,60,57,47,44,38,35,32,30,28,26,23,23,24,27,33,40,48,52,50,48,45,42,41,41,42,43,44,40,34,27,25,28,35,40,50,52,52,49,43,40,41,43,53,57,62,63,60,55,50,48,46,51,60,70,78,80,78,75,69,64,59,57,58,59,58,56,50,48,44,40,37,36,36,37,42,42,43,43,43,42,41,40,45,45,47,50,52,50,45,41,35,35,36,38,42,46,50,53,51,49,44,39,34,31,29,28,27,28,28,28,27,25,23,22,26,26,25,24,23,22,21,21,22,23,24,25,26,27,28,28,26,25,25,24,22,20,18,17,17,18,19,22,25,28,31,33,36,34,32,30,26,24,22,20,17,16,14,12,12,12,13,14,15,15,16,17,17,17,16,16,17,17,17,16,16,16,15,15,15,14,14,13,13,14,14,15,14,14,14,13,13,12,12,12,11,11,11,10,10,9,9,9,8,8,8,7,7,6,6,6,6,6,6,5,5,4,4,4,6,6,6,5,5,4,4,4,5,5,5,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 9,10,12,12,11,12,13,15,14,15,17,17,16,17,18,20,18,19,20,20,21,20,20,19,20,20,21,22,22,23,23,23,26,27,27,26,24,23,23,24,22,23,25,26,27,29,34,37,44,44,45,45,45,43,41,40,37,35,34,33,35,40,45,48,66,73,85,95,102,107,110,112,112,117,123,126,130,137,148,157,171,182,193,199,203,207,206,203,202,200,199,202,213,229,245,255,255,255,254,253,253,253,254,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,254,255,255,255,242,223,203,191,176,167,154,138,124,114,109,106,110,117,127,138,145,145,139,134,129,127,126,127,132,137,140,142,140,144,145,140,133,126,116,107,101,94,84,74,67,62,59,56,50,48,48,49,50,50,48,46,40,40,40,41,45,51,56,60,63,69,74,76,76,77,83,88,87,89,91,91,91,92,93,95,89,85,81,77,72,64,53,45,42,40,40,42,47,52,56,57,55,56,58,58,57,54,51,50,46,43,42,45,52,58,61,62,65,63,61,60,62,65,70,73,71,69,65,60,55,51,48,47,46,48,50,53,57,60,63,64,59,52,42,33,29,31,35,39,45,45,45,42,39,36,36,36,33,35,37,38,37,36,37,38,38,39,40,38,33,29,27,26,30,33,38,44,51,57,62,64,66,63,58,51,43,38,35,35,42,45,50,53,50,44,35,30,27,27,30,35,40,44,45,45,51,52,53,56,58,60,62,63,70,74,80,84,82,75,66,60,52,54,57,58,58,56,53,50,41,41,41,40,38,35,32,30,26,26,27,29,34,40,46,50,47,45,41,37,35,35,37,38,36,35,33,30,29,31,37,41,49,51,52,48,42,40,43,47,53,57,61,64,62,56,49,44,42,49,56,62,70,77,77,73,62,58,52,48,47,47,47,46,43,43,42,42,42,41,41,40,48,49,51,51,50,49,49,50,53,50,48,51,54,52,45,39,39,32,30,35,40,42,44,46,47,45,40,36,33,31,31,32,34,32,30,27,24,22,21,20,20,21,23,24,24,23,21,19,24,25,26,27,28,28,28,28,28,26,24,21,19,17,16,16,18,18,19,19,21,23,25,26,27,27,27,26,24,21,18,17,13,12,12,12,12,13,14,15,16,16,17,18,18,17,16,16,20,20,19,18,16,15,14,14,13,13,13,13,13,13,13,13,14,14,14,13,13,12,12,12,11,11,10,10,10,9,9,9,9,8,7,6,6,6,6,7,6,6,6,5,5,4,4,4,6,5,4,3,3,3,3,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 9,11,13,13,12,12,14,16,14,16,18,18,17,18,19,21,20,21,21,22,22,22,21,21,22,22,22,22,23,23,23,23,27,28,28,27,25,23,24,25,23,25,27,28,29,31,35,39,44,44,46,46,46,45,43,42,42,40,38,37,38,41,45,48,61,68,79,89,97,102,105,108,109,113,118,121,124,131,141,149,158,169,181,188,193,198,198,195,192,192,195,201,213,229,244,253,255,255,255,255,255,254,252,251,254,254,254,254,254,254,255,255,255,254,253,254,255,255,255,253,255,251,242,233,221,204,184,170,162,154,141,129,120,112,106,102,107,112,120,129,134,134,129,125,123,123,124,127,131,137,143,147,148,152,153,147,139,131,120,110,96,89,79,69,62,57,54,51,46,44,43,44,45,46,44,43,37,36,35,36,39,44,49,53,54,60,66,68,68,70,74,79,78,80,84,87,90,93,96,98,93,88,83,78,73,65,55,47,40,38,38,41,46,53,57,58,57,58,58,57,55,53,51,49,47,45,45,48,55,61,64,65,63,61,58,57,57,60,64,66,64,62,58,53,48,45,42,41,40,41,43,46,49,52,55,56,54,49,41,34,30,32,36,39,39,39,38,36,33,31,32,33,33,35,36,35,34,33,34,36,36,37,39,37,35,33,32,32,36,37,41,45,50,56,60,62,62,61,57,50,41,36,35,36,44,48,54,58,55,48,38,32,27,29,32,38,44,47,47,45,48,49,50,52,55,57,58,59,64,69,75,79,78,72,64,59,53,54,56,56,54,52,48,46,39,39,39,38,37,34,32,30,27,27,29,33,37,42,47,50,46,43,38,33,31,32,34,35,36,35,33,30,29,32,37,41,47,50,51,48,44,43,47,52,58,60,63,64,61,54,47,42,41,48,54,60,68,74,74,70,57,53,46,42,40,40,40,40,39,40,42,44,46,47,47,48,52,54,56,56,55,53,52,51,51,48,48,51,56,56,49,43,40,33,28,31,36,38,40,43,45,43,40,37,34,33,32,32,34,32,29,26,24,21,20,19,20,21,22,24,24,24,23,22,26,27,29,30,30,29,28,27,26,25,23,21,19,18,17,17,17,17,17,17,18,20,21,22,24,24,24,24,22,19,17,15,12,12,11,11,12,13,14,15,18,19,20,20,20,20,19,18,20,20,19,18,17,16,15,14,13,13,13,13,13,13,13,13,14,14,14,13,13,12,12,12,11,11,11,10,10,10,9,9,9,8,7,7,6,6,7,7,6,6,6,5,5,4,4,4,6,5,4,3,3,3,3,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 11,12,14,14,14,14,15,17,16,18,19,20,19,19,21,23,23,23,24,24,24,24,23,22,24,24,24,24,23,23,23,23,28,29,29,28,26,24,25,26,26,28,30,31,32,34,37,40,45,46,48,49,49,49,47,47,50,47,44,42,42,43,46,48,58,64,74,84,91,96,100,103,103,106,110,113,115,121,129,135,143,154,166,173,179,185,186,183,182,185,191,200,212,224,235,241,248,251,255,255,255,255,254,252,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,253,255,242,224,210,199,186,168,155,147,139,129,122,118,114,106,100,104,106,109,114,117,116,113,109,111,115,120,124,128,135,144,151,154,158,159,152,143,133,120,109,90,84,74,65,59,54,50,48,45,43,41,40,42,44,44,44,38,36,33,32,34,38,43,47,46,51,57,60,61,62,65,69,66,70,76,84,92,97,101,103,98,92,85,79,74,67,58,51,41,39,39,42,49,56,61,63,63,62,61,59,56,54,52,51,48,47,46,49,55,61,64,66,58,56,53,51,51,53,56,58,57,55,51,47,42,39,36,35,35,35,36,38,41,45,49,51,50,46,41,36,34,34,36,38,35,35,33,31,28,28,30,33,34,34,34,31,29,28,30,32,33,35,37,38,37,38,40,42,44,44,44,45,47,50,53,55,54,55,54,46,37,32,33,37,44,49,57,61,59,50,38,31,28,30,36,43,49,51,49,46,43,44,45,47,49,50,52,52,56,60,67,71,71,67,61,57,54,54,53,52,49,45,42,40,38,37,37,36,35,33,31,30,28,30,33,38,42,46,49,50,45,41,34,29,26,27,29,32,36,35,34,31,30,32,36,40,45,47,50,49,48,50,55,60,66,67,67,64,59,52,44,40,40,46,52,57,64,70,70,65,53,48,40,34,32,33,33,33,34,37,41,46,51,54,56,56,58,59,62,63,61,58,54,51,46,45,46,52,59,60,55,49,43,33,26,26,30,32,35,38,41,41,40,38,36,35,34,33,33,32,29,26,23,21,19,19,21,21,22,23,25,26,26,27,31,32,33,33,32,30,27,25,23,22,21,19,19,19,19,19,18,18,17,16,16,16,17,17,21,21,22,21,20,17,15,14,11,11,11,12,13,14,16,16,21,21,22,23,23,22,21,21,21,20,19,18,17,16,15,15,13,13,13,13,13,13,13,13,14,14,14,14,13,13,13,13,12,12,11,11,11,10,10,10,9,9,8,7,6,6,7,7,6,6,6,5,5,4,4,4,6,5,4,3,3,3,3,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 12,13,15,15,15,15,16,18,17,19,21,21,20,21,22,24,25,25,26,26,26,25,24,24,26,26,25,24,24,23,23,23,27,29,29,28,26,25,26,27,29,31,33,34,35,37,39,42,48,50,52,54,54,54,54,53,57,54,51,48,46,46,47,48,57,63,71,79,85,91,95,98,96,99,102,104,107,111,118,123,130,141,152,159,165,171,173,171,177,182,189,198,207,215,220,223,231,235,241,247,252,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,252,249,238,225,207,193,182,172,159,150,140,132,124,121,122,119,111,104,104,103,101,101,101,99,95,93,96,103,111,117,122,130,142,151,153,157,157,149,139,128,114,102,86,80,72,65,59,55,52,49,49,46,43,43,45,48,49,49,44,41,36,33,33,37,42,46,45,50,56,60,61,61,63,64,62,66,74,85,96,104,108,109,100,94,85,78,73,67,61,55,46,44,43,46,53,60,66,68,70,68,65,62,58,56,54,53,48,47,46,47,50,54,57,59,51,50,47,46,46,48,51,53,53,51,48,44,40,36,34,33,31,31,31,33,37,43,47,51,50,48,44,41,39,37,37,37,36,36,34,31,28,29,33,36,35,34,32,28,24,23,25,27,30,32,35,38,40,42,46,49,50,48,45,43,42,41,42,43,44,47,47,41,32,28,31,36,41,47,55,60,57,47,35,27,28,32,39,47,53,53,49,45,38,38,39,41,42,43,45,45,48,52,58,63,65,63,58,55,52,51,50,48,45,41,38,36,38,37,36,35,33,31,29,28,28,31,36,42,46,49,49,49,45,40,32,25,22,23,26,29,35,35,34,32,31,32,35,37,42,45,49,51,54,58,65,69,75,74,70,65,58,50,43,39,40,46,51,55,61,66,65,60,51,45,36,30,28,28,28,29,30,34,41,48,54,58,60,61,60,61,64,65,64,60,53,48,41,41,44,52,61,63,59,53,45,34,24,22,24,26,30,35,39,39,39,38,37,36,34,33,32,30,28,25,22,20,19,19,22,22,23,24,26,29,31,32,35,36,36,36,34,30,26,24,20,19,19,19,19,20,21,21,22,21,20,18,17,16,16,16,19,20,21,21,19,18,15,14,13,13,13,14,15,16,18,19,21,22,23,23,23,23,22,21,21,20,19,18,17,16,15,14,12,12,12,12,12,12,12,12,14,14,14,14,14,14,14,13,13,12,12,12,11,11,11,11,10,9,8,7,7,7,7,8,6,6,6,5,5,4,4,4,6,5,4,3,3,3,3,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 12,14,16,16,15,15,17,19,18,20,22,22,21,21,23,25,26,26,27,27,26,25,24,23,26,26,25,24,24,23,23,23,27,28,29,29,28,27,28,30,32,34,37,39,39,40,42,44,53,55,57,59,60,60,60,59,61,59,56,52,50,49,49,49,55,60,66,73,78,83,88,91,91,93,95,98,102,106,111,114,121,130,139,144,151,158,162,162,174,179,187,196,203,207,209,209,214,216,219,225,231,238,244,247,247,248,250,251,252,252,252,251,248,246,244,243,241,238,234,231,212,205,194,181,169,159,151,146,137,130,124,124,126,126,118,111,111,107,100,95,90,86,82,79,82,89,99,107,113,122,134,143,146,150,149,141,130,119,104,93,80,75,69,64,61,58,55,53,53,51,48,48,51,54,56,56,51,47,40,35,35,38,43,47,53,57,62,66,68,67,66,66,63,67,77,89,102,110,113,113,101,93,83,76,72,69,65,61,52,50,48,49,55,61,67,69,72,70,66,62,59,56,54,53,47,46,44,43,42,44,46,48,45,44,43,43,44,47,49,51,50,48,45,41,38,35,33,32,28,28,27,29,34,40,46,50,51,50,49,46,43,41,38,37,39,38,36,33,30,30,33,37,35,34,31,26,22,21,22,24,27,30,35,38,41,45,49,52,51,49,45,40,36,33,31,31,36,38,39,34,29,26,30,34,41,46,53,57,54,45,33,26,29,33,41,49,54,53,47,42,33,34,35,36,37,37,38,39,42,46,52,56,58,57,54,52,48,48,49,48,46,43,40,38,42,41,38,35,32,29,28,27,27,31,37,43,47,49,48,48,44,39,31,24,21,22,25,28,33,33,34,32,31,31,32,34,39,42,47,52,58,66,73,77,82,78,72,64,55,47,42,39,40,46,50,53,58,62,60,54,46,41,33,27,25,25,24,24,28,33,41,49,55,59,60,60,59,60,62,64,63,58,50,43,37,38,43,52,62,66,62,56,46,34,23,20,22,24,29,34,38,38,38,37,36,34,32,31,29,28,26,24,22,20,20,20,24,25,26,27,30,33,35,37,38,38,38,36,33,29,25,22,18,18,18,19,20,21,22,23,27,26,24,22,20,19,18,18,19,20,21,21,21,19,17,16,16,16,16,16,17,18,20,20,20,20,21,21,21,21,20,20,20,19,18,17,16,15,14,14,12,12,12,12,12,12,12,12,14,14,14,14,14,14,14,15,13,13,13,13,12,12,12,11,10,9,8,8,7,7,8,8,6,6,6,5,5,4,4,4,6,5,4,3,3,3,3,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 12,14,15,15,15,15,17,18,18,20,22,22,21,21,23,25,26,26,26,26,25,24,23,22,24,24,24,24,23,23,23,23,27,29,31,32,31,32,33,35,37,40,43,45,45,45,47,49,57,59,61,63,64,64,63,62,62,60,57,54,52,51,50,50,53,56,61,65,69,73,78,82,87,89,91,96,100,105,110,112,116,123,130,134,141,151,159,160,175,179,187,195,201,203,204,204,202,201,201,203,207,214,221,225,230,231,235,238,240,242,242,242,232,228,223,219,215,211,206,202,197,194,188,179,168,157,150,146,136,131,127,128,131,131,127,122,124,117,106,96,88,80,74,70,72,79,88,97,105,114,125,132,137,139,137,129,118,108,96,85,73,69,65,63,63,62,61,59,58,56,55,56,59,62,63,63,57,51,43,37,36,39,45,49,61,64,69,73,74,72,69,66,65,69,79,93,107,115,116,114,100,92,81,74,72,72,71,70,61,57,53,53,56,61,65,67,70,69,66,63,59,55,52,51,48,47,45,42,39,38,40,42,43,42,42,43,45,47,50,51,48,46,44,40,37,35,33,33,28,26,25,25,29,35,42,46,51,51,50,49,46,44,41,40,42,41,39,35,31,30,31,33,34,34,32,27,23,21,21,22,24,28,34,39,42,44,47,49,47,46,43,39,35,31,28,27,32,32,31,30,28,28,31,33,43,46,50,52,49,41,32,27,29,33,40,48,51,49,43,38,31,31,32,32,33,33,34,34,38,41,46,49,51,50,48,46,45,47,50,53,53,52,50,48,49,46,42,37,32,28,26,24,26,30,36,42,45,47,46,45,41,36,30,24,21,22,25,27,30,32,33,32,30,29,30,31,35,37,43,50,59,69,77,81,83,78,69,59,50,43,39,37,39,44,48,50,53,56,53,47,41,36,30,26,24,23,22,21,26,32,41,50,56,60,60,60,59,58,59,61,62,57,48,41,37,38,44,54,65,68,64,59,47,35,24,21,23,26,31,36,40,39,37,35,32,30,29,28,26,25,24,22,22,21,21,21,27,28,30,32,35,37,39,40,40,39,37,34,30,27,24,22,19,19,19,20,21,23,24,25,29,28,26,23,21,20,19,19,19,20,21,22,22,21,19,18,18,17,17,17,17,18,19,20,17,18,18,19,19,18,18,17,18,18,17,16,15,14,13,12,11,11,11,11,11,11,11,11,14,14,14,14,15,15,15,15,14,14,14,13,13,13,12,12,10,10,9,8,8,8,8,8,6,6,6,5,5,4,4,4,6,5,4,3,3,3,3,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 11,13,15,15,14,14,16,18,18,20,21,22,21,21,23,25,24,25,25,24,23,22,21,20,22,22,22,22,23,23,23,23,29,32,34,36,36,38,40,43,44,47,50,52,52,52,53,54,59,61,62,64,65,64,63,63,61,59,57,55,53,52,52,52,54,56,59,62,64,68,73,76,85,87,90,96,102,108,112,114,115,122,127,131,140,154,165,170,183,187,192,196,200,201,201,200,196,194,192,191,194,198,204,208,212,215,220,225,229,232,233,233,222,216,208,200,194,189,184,181,187,184,179,175,171,164,155,149,136,134,133,134,136,139,139,138,137,129,116,102,90,80,72,67,68,72,80,89,99,109,117,121,125,127,124,115,105,97,86,77,69,67,66,66,68,69,69,69,66,65,65,67,71,73,73,73,62,56,47,40,38,42,49,53,64,67,71,75,76,72,67,62,63,68,78,93,108,116,117,114,100,91,80,73,73,76,78,78,74,69,63,59,60,63,66,68,71,70,69,66,63,59,55,52,51,51,49,45,41,40,42,45,45,45,45,45,46,48,49,50,51,49,46,43,41,39,37,37,33,30,26,24,26,30,37,41,47,48,48,48,47,46,45,45,46,46,43,39,34,31,30,31,34,34,33,30,25,22,21,22,23,28,35,40,42,42,43,44,41,42,42,42,40,37,34,32,32,29,27,28,31,33,34,33,43,44,45,44,41,35,29,26,29,33,39,45,48,45,38,33,30,30,30,30,31,31,31,31,35,37,40,43,44,43,41,39,43,48,54,61,64,64,62,61,56,53,47,40,33,28,24,22,24,27,33,38,42,43,43,42,36,33,28,23,21,22,23,25,28,30,31,31,29,27,27,28,29,32,37,46,57,68,77,81,80,74,64,53,44,38,36,35,36,41,44,45,48,50,47,40,39,36,31,28,27,25,23,21,25,31,41,51,58,62,62,61,60,59,58,60,62,58,50,43,40,41,47,58,68,72,67,61,47,35,25,23,26,29,35,40,42,40,36,32,29,26,25,25,23,22,22,21,21,22,23,23,29,31,34,37,39,41,41,41,41,38,35,31,27,24,22,22,20,20,20,21,22,24,25,26,27,26,24,22,20,18,17,17,18,19,20,21,22,21,19,19,18,18,17,16,16,16,16,17,16,17,17,18,18,17,17,16,17,16,16,14,13,12,11,11,11,11,11,11,11,11,11,11,14,14,14,15,15,16,16,16,15,15,14,14,14,13,13,13,11,10,9,8,8,8,8,9,6,6,6,5,5,4,4,4,6,5,4,3,3,3,3,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 11,12,14,14,14,14,15,17,18,19,21,21,21,21,22,24,23,24,23,23,22,21,19,18,20,20,21,22,22,23,23,23,31,34,37,39,40,42,45,48,48,51,55,56,56,56,57,58,60,61,62,64,64,63,62,61,59,58,57,55,54,53,53,53,57,59,61,62,64,67,72,75,85,86,90,96,104,110,114,116,118,124,129,133,143,160,174,181,194,196,198,199,199,198,197,196,193,192,190,190,191,195,199,202,203,206,212,218,223,227,229,229,221,214,204,194,186,181,176,173,176,170,165,165,168,166,157,148,137,137,138,139,142,145,149,151,146,137,122,107,93,81,71,66,67,70,76,85,97,106,112,115,116,117,114,104,95,88,79,71,70,69,68,70,74,76,77,77,73,73,74,77,80,82,82,80,67,61,51,44,42,46,53,58,64,67,70,74,74,70,63,58,61,65,75,92,108,116,116,113,100,91,80,74,75,79,83,84,84,79,71,67,66,68,70,71,73,74,73,72,68,64,59,56,53,54,53,49,45,44,46,50,49,48,48,47,47,48,49,49,55,53,51,48,46,44,42,42,39,35,30,26,26,29,34,38,43,44,45,46,47,48,48,48,51,50,48,44,38,33,31,30,33,34,34,31,27,23,22,22,22,27,35,40,41,41,40,40,37,39,42,44,44,43,40,38,33,29,25,27,33,37,37,34,40,40,39,37,33,29,25,23,29,32,37,43,45,42,35,30,30,30,30,30,30,30,30,30,33,35,37,39,39,38,36,34,43,49,58,67,72,73,72,70,61,57,50,42,34,27,23,21,22,26,31,36,39,41,41,40,33,30,26,23,21,21,22,23,26,29,31,30,28,26,26,26,25,28,33,43,55,67,75,79,77,71,60,48,40,35,33,33,34,38,41,42,44,46,42,36,40,38,35,33,32,30,27,24,24,31,41,53,60,64,64,63,63,60,59,61,63,60,52,45,43,44,50,61,71,74,69,63,47,36,26,25,29,32,37,43,44,41,36,30,26,24,23,22,21,21,21,21,21,23,24,24,30,33,36,40,42,43,42,41,41,38,33,28,24,22,22,22,21,21,21,22,23,24,26,27,25,23,21,19,17,16,15,15,17,18,19,21,21,20,19,18,18,17,16,14,14,13,14,14,16,16,17,18,18,17,16,16,16,15,15,13,12,11,10,10,11,11,11,11,11,11,11,11,14,14,14,15,15,16,16,16,15,15,15,14,14,14,13,13,11,10,9,8,8,8,8,9,6,6,6,5,5,4,4,4,6,5,4,3,3,3,3,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 12,12,13,14,14,15,16,16,20,20,19,19,19,19,19,19,21,21,21,20,20,20,19,19,19,21,23,23,23,24,27,29,30,34,40,45,47,49,51,52,56,58,60,62,63,63,62,62,61,61,60,60,59,58,58,57,54,53,52,51,51,55,60,65,60,61,64,68,68,68,74,82,91,95,102,111,119,124,126,125,120,127,136,144,153,168,189,204,206,208,211,213,212,210,206,204,198,199,201,203,206,208,209,210,208,211,216,220,224,225,225,226,218,209,200,193,184,172,166,166,160,159,160,162,162,157,149,142,139,138,137,137,141,147,153,158,152,145,132,117,102,88,79,74,72,75,81,88,94,100,104,106,113,110,105,98,91,85,81,79,69,73,76,76,81,87,89,87,86,82,80,82,87,88,85,80,69,59,50,46,45,47,56,65,68,70,71,69,65,60,57,56,55,64,77,90,105,117,118,114,97,88,80,79,80,82,88,94,94,92,87,80,74,71,73,76,77,82,84,79,76,75,72,69,65,63,58,55,53,53,55,56,61,60,56,51,46,45,47,49,50,51,52,51,50,49,50,51,49,47,41,34,28,27,29,32,39,41,45,48,51,52,51,51,52,51,48,40,32,27,28,30,35,39,43,41,34,26,22,20,26,33,40,43,40,36,35,34,32,41,49,53,61,66,59,45,43,33,27,32,38,41,42,43,44,42,37,32,27,24,24,25,26,28,32,35,36,35,34,32,31,32,32,31,29,28,28,30,31,35,38,38,34,31,32,34,44,51,62,72,79,80,78,76,67,61,51,41,34,28,23,20,26,29,34,36,37,36,35,35,31,29,26,24,23,24,25,26,27,28,29,30,29,26,24,22,23,26,32,42,53,64,73,79,73,67,57,47,38,34,32,32,33,34,36,35,34,34,35,36,37,42,44,42,40,38,32,25,27,30,38,50,61,66,65,62,59,57,55,57,61,60,54,49,47,49,54,63,71,72,66,60,45,37,30,29,34,40,43,44,43,38,32,26,23,21,18,16,20,19,19,19,21,23,26,27,31,35,40,44,44,42,37,34,31,27,23,21,22,22,20,17,22,22,22,24,26,26,24,22,21,20,17,15,13,13,13,13,16,16,17,18,19,19,18,18,17,17,18,19,19,18,17,17,17,17,18,19,20,20,20,19,16,15,15,13,12,11,10,10,9,9,9,9,9,11,12,12,15,16,16,15,14,13,15,17,18,17,16,15,13,12,11,11,12,12,11,11,10,9,8,8,7,7,7,6,6,5,5,5,5,5,5,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 12,12,13,14,14,15,16,16,19,18,18,18,18,18,18,18,20,20,20,19,19,19,19,19,20,22,24,25,25,26,28,31,34,39,45,49,52,53,56,57,61,62,64,65,66,66,65,65,62,62,60,59,57,55,54,53,49,50,50,50,51,56,62,67,69,69,71,74,73,72,78,86,99,104,112,121,129,134,135,134,133,139,147,156,168,185,204,217,226,225,223,221,218,215,213,212,218,220,223,226,227,226,224,223,218,216,217,221,227,229,226,222,218,208,197,188,176,164,156,155,149,148,148,149,149,146,140,135,133,133,134,136,140,146,151,155,151,145,133,118,103,90,81,76,76,79,83,89,95,100,103,105,107,105,100,94,89,84,80,78,74,78,81,83,89,96,98,96,91,86,83,84,88,90,86,82,68,59,49,46,46,49,58,67,69,69,68,65,59,54,52,51,55,64,75,87,100,111,112,107,97,89,81,79,80,82,89,96,102,101,98,92,85,82,82,84,87,93,96,92,87,84,80,75,76,74,70,67,64,63,64,64,66,64,59,53,47,45,46,48,49,51,52,52,51,51,53,55,57,54,48,41,34,31,32,34,39,41,45,48,50,50,50,49,49,48,44,37,29,26,28,31,38,42,46,43,36,28,23,22,26,33,41,43,40,35,32,31,31,44,57,67,79,87,79,65,48,37,29,32,39,43,45,48,45,43,37,31,26,24,24,24,25,26,29,31,32,32,32,31,32,33,33,31,28,26,27,28,31,35,38,37,33,30,30,32,42,50,61,72,78,79,77,74,65,60,52,44,38,33,28,25,26,28,30,32,32,32,31,31,28,27,25,24,24,26,27,28,29,29,30,30,28,26,24,22,21,25,33,42,53,63,71,76,70,65,55,45,37,32,30,30,28,29,30,29,28,29,32,34,42,48,53,52,50,47,39,31,29,32,38,49,59,64,64,61,57,55,53,55,58,58,53,48,49,50,55,63,70,70,64,57,44,38,32,31,35,40,42,42,40,35,29,24,21,20,18,17,18,18,19,20,22,25,28,30,32,35,39,42,42,38,34,31,28,24,21,20,22,24,23,22,26,25,25,26,27,26,24,21,18,17,15,14,13,13,14,15,16,17,17,18,18,18,18,18,17,17,18,19,19,18,17,17,18,18,19,20,21,21,20,20,17,16,15,14,13,12,11,10,9,9,9,9,9,10,11,12,14,15,16,15,13,13,15,17,17,16,16,14,13,12,11,10,12,12,11,10,9,9,8,8,7,7,6,6,6,5,5,5,5,5,5,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 12,12,13,14,14,15,16,16,17,17,17,17,17,17,17,17,18,18,18,18,18,19,19,19,22,24,27,28,28,29,31,33,38,42,48,52,55,57,59,61,64,65,66,67,67,66,66,65,63,62,60,57,53,51,48,47,43,44,47,49,53,59,66,72,77,77,79,82,82,82,88,96,106,113,123,133,141,145,145,145,147,152,160,174,191,210,227,236,251,248,243,238,235,234,235,235,241,243,247,249,248,245,242,239,233,227,222,225,231,232,225,217,211,200,187,176,165,152,144,142,136,134,132,132,132,130,128,125,125,126,129,134,138,143,147,149,149,142,131,117,103,91,83,78,80,82,86,90,94,98,100,101,101,99,96,93,88,85,82,80,79,84,89,93,101,109,111,108,98,92,87,86,90,91,87,83,68,58,50,47,48,53,63,73,71,69,66,59,53,48,46,47,54,63,73,83,93,102,103,99,97,89,82,80,80,82,90,98,110,112,112,108,101,97,96,97,104,110,113,108,102,97,90,84,88,87,83,80,76,74,72,72,71,69,63,55,48,45,46,48,50,51,53,54,54,55,58,61,65,63,58,50,42,36,34,34,40,42,45,47,48,48,47,46,44,43,39,32,26,25,29,34,43,47,50,47,39,31,25,24,26,34,42,45,41,34,28,26,31,48,68,86,103,111,100,83,56,42,31,32,40,47,51,55,49,45,38,32,27,25,25,25,25,25,25,26,27,29,30,31,35,35,33,30,26,25,26,27,32,35,37,36,31,27,27,28,39,47,58,69,75,76,72,69,61,58,52,48,44,40,35,32,27,27,27,26,26,26,27,27,24,24,25,26,27,30,32,33,32,32,31,30,28,26,23,22,21,26,34,44,54,62,68,71,66,61,52,42,35,30,29,28,25,26,25,24,25,27,32,36,48,57,64,65,63,58,48,38,33,34,38,47,56,61,60,58,53,51,49,51,54,54,51,48,50,52,56,63,68,67,61,55,44,40,36,35,38,41,41,40,37,32,26,22,20,20,19,19,18,18,19,20,23,27,30,32,33,35,37,39,37,33,29,26,22,21,20,21,25,29,31,31,34,32,30,29,29,27,23,21,15,14,14,14,15,16,17,18,19,19,19,19,19,18,18,18,18,19,19,20,20,19,19,18,19,19,20,21,21,21,21,20,18,17,16,15,14,13,12,11,10,9,9,9,9,10,11,11,13,14,14,13,12,12,13,15,16,15,14,13,12,11,10,10,11,11,10,10,9,8,7,7,7,6,6,6,5,5,5,5,5,5,5,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 12,12,13,14,14,15,16,16,15,15,16,16,16,16,17,17,17,17,17,18,18,19,19,20,25,27,30,31,32,33,35,37,40,43,48,52,54,56,59,61,63,63,64,64,63,63,62,62,62,61,58,54,50,46,43,42,39,41,45,50,56,64,73,79,83,83,86,90,91,93,100,110,117,125,138,149,157,160,162,162,162,167,178,196,217,235,246,251,255,255,254,251,251,252,254,255,253,254,255,255,255,254,252,250,247,241,235,233,234,230,221,213,199,186,172,161,151,140,132,131,125,122,118,115,114,114,115,115,117,121,126,132,136,139,140,141,142,136,125,113,100,89,82,78,81,83,85,88,91,93,94,95,97,96,95,93,91,88,86,85,82,88,94,101,112,122,124,121,105,97,89,85,87,88,86,82,69,59,51,49,51,58,69,80,76,73,66,58,50,45,45,46,55,63,73,80,89,96,97,93,95,88,81,79,79,82,91,101,114,119,123,122,116,112,112,114,125,130,131,125,116,109,101,94,94,93,90,87,83,79,76,75,75,72,65,56,49,45,46,48,54,55,57,58,58,60,64,67,71,69,64,57,47,40,36,34,41,42,45,46,46,45,43,42,38,37,34,28,23,24,30,36,49,52,55,51,43,33,28,26,28,36,46,49,44,35,27,23,32,52,79,102,121,128,112,92,62,46,32,33,43,52,58,62,55,49,40,33,29,28,28,28,26,25,24,23,25,27,31,33,38,37,34,30,26,24,26,28,34,37,39,36,30,26,24,25,34,42,53,63,68,68,64,61,55,54,52,51,50,46,41,38,31,28,24,22,22,23,24,24,21,23,25,29,32,36,38,39,37,36,34,31,28,25,24,23,23,28,36,46,54,60,63,65,59,55,48,40,34,30,29,29,27,27,26,25,26,30,37,42,54,64,74,77,75,69,57,45,38,37,38,44,51,56,56,55,49,47,45,46,48,49,48,46,48,51,56,63,67,66,61,56,46,44,41,41,42,43,41,39,35,31,26,23,22,23,22,22,20,20,20,21,24,27,30,31,33,34,35,35,32,28,24,21,19,20,22,27,32,38,42,44,44,41,38,35,32,29,25,22,15,16,17,19,20,22,24,25,25,24,23,22,21,20,20,20,21,21,22,22,22,22,21,21,20,21,21,22,22,22,21,21,18,18,17,16,15,13,13,12,10,9,9,8,8,9,10,10,11,12,13,12,10,10,12,14,14,14,13,12,11,10,10,9,10,10,10,9,8,7,7,6,6,6,6,5,5,5,4,4,5,5,5,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 12,12,13,14,14,15,16,16,14,15,15,15,16,16,17,17,17,17,18,19,20,21,22,22,27,30,34,36,36,37,39,40,42,45,48,51,53,55,58,60,61,60,60,60,59,59,59,60,59,58,55,52,48,44,41,40,39,43,48,55,63,72,81,87,93,92,95,99,100,102,111,120,133,143,157,169,177,182,185,187,188,193,205,223,240,252,255,255,253,253,254,254,255,255,255,255,255,255,254,254,254,255,255,255,255,253,249,243,236,227,218,212,191,176,160,148,139,128,120,118,114,110,105,100,98,100,103,107,115,119,125,130,134,134,133,132,131,126,116,105,94,84,77,74,78,79,81,84,86,87,88,88,91,91,92,92,91,90,89,88,83,89,97,108,122,134,136,131,113,103,89,81,81,82,81,79,70,61,53,51,54,62,74,86,82,78,71,61,52,48,48,50,57,66,75,80,87,93,94,91,90,84,79,77,77,81,92,104,118,125,132,132,128,125,128,131,147,151,151,142,132,122,112,104,95,93,91,88,84,81,78,76,76,73,66,57,50,47,49,51,60,61,62,61,61,63,67,70,75,73,69,62,53,45,40,38,42,43,45,45,44,42,39,37,33,33,30,26,23,25,32,38,52,55,57,54,45,36,30,28,31,40,49,52,46,36,27,23,32,55,85,112,134,139,120,96,65,48,33,35,47,57,64,68,59,52,42,35,32,32,33,33,29,28,25,24,25,29,33,36,39,37,34,29,26,26,29,32,39,42,43,39,32,26,24,25,30,36,45,53,57,57,54,51,48,49,51,54,55,52,47,42,35,30,24,21,21,22,23,23,21,23,28,34,39,43,45,47,43,41,37,33,29,26,25,24,26,31,38,46,53,56,57,58,52,49,43,38,34,32,32,32,31,31,30,29,30,35,43,48,62,72,82,86,84,78,66,54,44,40,38,40,46,51,52,51,46,44,42,41,42,43,43,43,45,49,55,62,66,65,61,57,49,48,46,45,45,43,41,39,35,32,28,26,26,27,26,25,23,23,22,22,23,25,27,28,32,32,32,31,28,24,21,19,20,24,30,37,44,50,55,58,56,52,47,42,38,34,29,25,21,22,24,27,29,31,32,33,31,30,28,26,24,23,23,23,24,24,25,25,25,25,24,24,21,21,22,22,22,21,21,20,18,18,17,16,15,13,13,12,10,9,9,8,8,8,9,9,10,11,11,10,9,8,10,12,12,12,11,11,10,9,9,9,10,9,9,8,7,6,6,6,6,6,5,5,5,4,4,4,5,5,5,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 12,12,13,14,14,15,16,16,14,14,15,16,16,17,18,18,18,19,20,21,23,24,25,26,29,33,37,40,40,41,42,44,44,46,49,50,51,52,55,57,57,56,56,55,55,56,57,58,54,53,52,49,47,44,43,42,44,48,55,63,71,80,90,96,105,105,107,110,111,114,122,133,147,157,172,185,194,200,206,210,223,226,234,245,254,255,255,253,254,255,255,255,255,255,255,253,255,254,252,252,252,254,255,255,255,255,255,251,241,229,218,213,191,174,155,141,131,119,111,108,103,100,96,91,89,93,99,104,118,122,127,130,131,129,126,123,120,115,107,96,86,78,72,69,72,73,76,78,80,82,83,83,85,87,88,90,90,90,89,88,85,92,101,115,132,146,148,142,122,108,89,76,73,75,76,75,70,61,52,51,55,63,76,88,88,84,77,67,59,55,56,58,64,72,80,82,85,90,91,88,84,79,75,73,74,79,92,106,123,130,136,136,132,132,137,143,162,167,169,160,148,134,119,108,91,90,87,84,81,80,78,78,76,72,66,58,53,52,55,59,67,67,66,64,62,63,66,69,75,74,70,63,55,49,45,44,43,44,45,44,42,39,35,33,30,31,30,27,24,27,34,40,52,56,58,55,46,37,31,29,34,42,51,53,47,37,28,24,33,56,88,117,140,144,124,98,63,46,33,37,51,62,68,70,62,53,42,35,34,35,37,37,32,30,27,26,27,31,35,38,39,37,34,29,27,29,34,38,46,48,48,43,35,28,26,26,27,31,38,44,46,46,43,41,44,47,52,57,60,58,52,46,37,31,24,21,22,24,23,22,22,26,33,40,46,51,53,54,49,46,41,35,30,27,26,26,29,33,38,44,48,50,50,49,44,42,40,37,36,37,38,39,37,36,36,35,36,41,49,54,68,78,87,90,89,83,72,62,49,43,38,37,41,46,48,47,43,42,39,36,35,36,38,39,43,48,55,62,65,64,61,58,50,49,48,46,44,41,39,37,35,33,31,31,31,30,28,26,24,23,22,22,22,23,25,26,30,30,29,27,25,23,21,20,25,32,43,52,59,65,69,72,67,62,56,50,45,40,34,31,30,31,33,36,38,39,40,40,37,35,32,29,27,25,25,25,25,26,26,27,27,26,26,25,20,21,21,21,21,20,19,19,18,17,16,15,14,13,12,11,10,9,9,8,7,8,8,8,8,9,10,9,7,7,9,11,10,10,10,9,9,9,8,8,9,9,8,7,6,6,5,5,5,5,5,5,4,4,4,3,5,5,5,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 12,12,13,14,14,15,16,16,14,15,15,16,17,18,19,19,20,21,22,24,25,27,28,29,31,35,40,43,44,44,45,46,43,44,46,46,46,46,49,51,50,49,49,49,49,51,52,53,49,49,48,48,47,46,45,45,50,55,62,70,79,88,97,103,112,112,115,121,125,130,141,152,163,175,190,203,212,221,229,235,248,249,251,254,255,255,255,254,255,255,255,255,255,255,255,255,255,254,254,253,254,255,255,255,255,255,255,254,248,237,223,213,191,173,152,139,129,118,110,107,97,96,93,90,91,96,105,112,124,126,129,131,129,125,119,116,111,107,99,90,81,73,68,66,67,69,71,74,77,79,80,81,84,85,88,90,91,91,90,89,89,96,107,123,143,157,159,153,131,113,89,72,67,69,72,73,68,59,50,49,53,61,75,87,92,88,82,73,66,62,63,65,71,79,85,84,84,85,85,83,77,73,70,69,70,77,92,107,124,130,134,132,127,128,136,144,163,173,179,173,159,140,118,102,84,82,79,76,75,75,76,77,75,72,67,61,57,59,64,68,72,71,68,63,60,59,61,63,68,67,64,58,52,47,45,46,44,45,45,43,40,36,32,30,29,30,31,29,27,29,35,41,51,55,58,54,46,37,32,30,34,42,50,52,46,36,28,25,38,59,89,116,138,140,117,89,58,43,32,39,55,66,70,71,61,51,39,33,33,36,38,38,33,31,29,28,29,32,36,39,38,36,33,30,29,32,39,44,52,54,53,48,39,32,28,28,28,30,34,37,38,38,36,35,42,47,54,62,65,63,56,50,37,31,23,21,23,25,23,21,25,30,37,46,53,57,59,59,54,50,44,37,32,29,28,28,31,33,36,39,41,42,41,41,38,38,37,38,39,42,45,46,45,45,45,45,46,50,57,61,69,77,85,86,85,81,72,63,53,46,38,35,38,42,44,45,42,40,37,33,31,31,33,35,44,49,57,62,64,61,58,56,49,49,47,44,40,37,35,34,33,33,33,34,34,32,28,24,22,21,20,20,21,23,25,27,28,27,26,25,23,22,22,22,32,42,55,67,74,78,80,82,76,71,63,56,51,45,40,37,37,39,41,43,44,44,44,44,39,37,33,30,27,26,26,26,24,25,26,26,26,26,25,24,20,20,21,21,20,19,18,18,17,16,15,14,13,12,11,10,10,9,8,8,7,7,7,8,7,8,9,7,6,6,8,9,9,9,9,9,8,8,8,7,8,8,7,7,6,5,4,4,5,5,5,4,4,4,3,3,5,5,5,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 12,12,13,14,14,15,16,16,15,15,16,17,18,18,19,20,21,22,24,25,27,29,31,31,32,36,41,44,45,46,47,48,39,41,42,41,40,40,42,45,43,42,42,42,43,45,47,48,46,46,46,47,47,47,48,48,55,60,67,75,83,92,101,107,112,113,119,127,135,143,157,170,183,194,209,222,232,242,252,255,255,255,254,254,253,254,255,255,254,254,254,254,254,255,255,255,254,254,255,255,255,254,253,252,255,254,252,253,253,244,228,214,189,171,150,138,130,122,115,112,96,96,95,94,96,103,114,123,128,130,132,131,128,122,116,112,107,103,96,87,78,71,66,64,64,66,69,73,76,78,80,81,85,87,90,93,94,94,93,92,92,99,111,128,149,165,166,160,136,117,90,70,64,66,70,72,67,57,48,47,50,59,73,86,93,90,84,76,70,66,67,69,77,84,88,86,82,82,81,78,73,70,67,67,68,76,92,108,122,127,130,125,119,120,130,140,159,171,181,178,163,140,113,93,77,75,71,69,68,70,72,74,76,73,68,63,61,63,69,74,74,72,68,62,57,55,56,58,61,60,57,51,46,43,43,44,45,45,45,43,40,35,31,28,28,30,32,31,29,31,36,41,50,54,57,54,46,37,32,30,34,41,48,50,44,35,28,25,43,63,89,114,132,132,106,77,55,40,31,40,57,68,71,70,59,49,37,30,32,36,38,38,32,31,29,29,30,33,36,39,38,36,33,30,30,34,42,48,56,58,57,51,42,34,30,30,29,30,32,34,34,34,33,32,42,47,56,65,69,66,59,53,36,30,23,21,23,25,23,20,27,32,40,49,56,60,62,63,57,53,46,38,33,30,29,29,31,32,34,36,36,36,36,35,35,35,36,38,41,45,49,51,53,54,54,54,55,58,64,68,66,73,79,80,79,76,69,61,55,47,38,34,36,40,43,43,42,40,36,31,28,28,31,33,46,51,58,62,62,59,56,53,48,48,46,42,37,34,32,32,32,32,34,35,35,32,27,23,19,19,19,19,21,24,26,28,26,25,24,23,23,23,23,23,37,48,63,75,82,85,87,88,81,75,68,60,54,49,44,40,42,43,45,46,47,47,46,45,40,38,33,29,26,25,25,25,23,24,24,25,25,24,24,23,19,20,20,20,19,18,17,17,16,15,15,13,12,11,10,10,10,10,8,7,7,7,7,7,6,7,8,7,5,5,7,9,9,8,8,8,8,8,7,7,8,8,7,6,5,5,4,4,5,5,5,4,4,3,3,3,5,5,5,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 13,13,14,15,15,16,17,17,16,16,17,18,20,21,22,23,22,23,24,27,29,31,33,34,37,38,40,42,44,45,46,46,38,38,37,36,35,35,35,36,36,37,38,37,38,39,43,46,43,45,46,47,47,48,51,53,58,61,71,82,89,94,104,114,111,125,139,144,149,161,177,187,203,217,235,249,254,254,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,248,251,255,248,238,225,207,191,181,164,147,133,124,118,115,115,109,107,110,112,113,121,132,139,144,143,134,126,122,115,107,105,101,94,88,82,76,69,65,68,67,67,69,72,77,82,85,93,95,99,102,103,103,102,100,99,105,118,138,165,182,181,172,151,122,88,68,62,63,67,71,66,60,51,43,42,50,62,71,84,84,84,82,79,78,79,81,86,88,90,91,88,82,75,70,63,63,63,66,73,85,99,108,125,124,122,116,107,105,115,128,154,168,180,178,163,139,110,90,69,61,56,59,65,68,71,75,74,70,66,63,62,65,69,71,71,69,64,58,52,47,44,42,43,42,41,39,39,40,42,42,44,45,45,43,38,33,31,30,31,32,33,32,32,32,35,37,45,48,50,48,41,35,32,32,30,36,43,44,38,32,30,30,38,61,91,112,118,109,88,70,43,39,38,46,61,70,71,67,53,44,34,29,31,34,34,33,33,31,28,27,28,33,38,41,35,33,31,31,35,42,49,54,65,63,58,51,42,35,32,31,31,33,33,33,32,32,34,36,37,46,57,65,72,73,64,52,45,33,23,22,24,24,25,26,28,32,40,50,59,64,65,65,57,51,43,37,33,31,30,29,28,28,29,29,28,28,27,26,29,34,41,47,50,53,56,58,56,57,59,60,61,62,62,62,64,65,66,66,65,63,61,59,52,48,43,38,35,36,39,41,34,33,30,26,24,25,29,32,43,49,57,63,64,59,52,47,42,40,37,34,32,30,30,30,26,27,29,31,30,27,24,22,19,19,19,20,22,24,26,27,28,30,31,27,23,22,27,32,42,51,66,81,89,91,89,86,82,77,69,61,55,50,45,41,41,43,47,49,49,47,44,42,36,34,30,26,23,22,22,22,21,22,23,24,24,23,21,20,17,17,16,16,16,15,15,15,13,13,13,13,12,11,10,9,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,8,7,7,6,6,7,7,8,6,6,6,5,5,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 12,13,14,14,16,16,17,18,16,16,17,18,20,21,22,22,22,23,25,27,30,32,34,35,36,37,39,41,43,44,44,45,37,36,35,33,33,33,33,33,31,32,34,34,34,36,40,43,43,45,47,48,49,50,54,57,66,70,79,90,96,102,111,121,121,134,146,153,163,181,200,211,229,237,248,254,254,253,253,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,251,254,255,245,234,222,205,190,180,165,151,140,134,129,127,123,119,118,122,125,128,135,144,142,145,143,134,127,123,117,110,112,108,101,94,88,80,73,69,66,65,64,66,71,78,85,90,99,102,107,110,111,110,107,105,106,112,124,145,170,188,188,180,154,126,92,71,63,62,65,69,64,58,49,41,39,44,55,63,73,75,77,78,79,81,84,87,91,93,95,94,90,83,75,70,60,60,62,66,75,89,102,111,121,118,113,105,94,90,100,113,141,155,168,167,154,132,105,85,65,58,53,57,62,65,69,73,72,69,65,61,60,62,65,68,69,65,59,52,46,41,38,37,39,38,37,36,36,38,40,41,46,47,46,43,39,34,32,32,32,33,33,31,30,31,34,36,43,46,48,46,40,34,30,29,27,33,39,40,35,31,31,32,44,64,88,103,107,98,78,61,40,36,36,45,59,68,67,63,50,42,32,28,29,32,32,31,31,29,27,26,28,32,37,40,36,35,33,33,38,45,53,58,64,62,58,50,42,35,33,32,32,33,34,33,31,30,32,33,38,48,60,70,78,78,68,56,45,33,23,23,26,27,27,29,28,32,39,48,56,61,62,60,53,48,42,37,35,34,33,32,29,29,28,27,27,27,27,27,30,35,42,47,51,54,57,59,58,58,59,59,58,58,57,56,55,55,55,55,54,54,53,53,50,47,42,38,35,35,36,37,32,31,28,25,23,25,30,34,43,49,57,62,62,56,48,42,37,36,33,31,29,28,27,27,25,26,27,28,27,25,23,22,23,24,25,26,28,29,30,31,29,31,32,29,25,26,31,36,47,56,69,82,89,90,87,84,76,71,64,57,52,47,43,39,40,42,46,48,48,46,43,40,35,33,29,26,23,22,21,21,19,20,21,22,21,20,19,18,17,17,17,16,16,16,15,15,13,13,14,13,13,11,10,9,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,6,6,6,6,7,7,6,6,6,5,5,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 11,12,13,14,16,17,18,19,16,16,17,18,19,20,21,21,23,24,26,28,31,33,35,36,34,35,37,39,40,41,42,42,35,34,33,31,30,30,30,30,29,31,33,34,35,37,40,43,43,46,49,51,53,56,61,64,71,75,83,94,100,106,115,126,136,147,160,172,188,210,230,240,252,255,255,255,253,251,253,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,252,255,252,236,224,214,199,182,174,162,152,145,141,139,138,132,130,131,137,142,145,150,156,147,146,141,133,127,125,122,118,120,115,108,101,93,84,76,71,66,64,63,65,72,81,91,97,107,111,116,121,122,119,115,112,112,118,130,149,175,193,195,188,159,132,98,75,65,62,63,67,64,59,50,41,36,39,47,53,62,65,69,72,76,80,86,90,95,97,98,97,91,82,73,67,57,57,61,68,80,94,107,115,119,113,104,92,79,73,81,93,121,136,150,151,141,122,97,79,62,54,50,53,59,62,66,70,70,67,62,58,57,58,60,62,63,59,52,45,39,35,33,33,36,35,34,33,34,37,40,42,49,49,48,45,40,36,35,35,36,37,36,34,32,32,35,37,42,44,46,44,39,32,27,25,24,28,32,33,31,30,32,35,52,67,84,93,92,83,65,50,35,33,34,43,56,63,62,58,44,38,30,26,26,28,29,28,26,25,25,25,28,32,35,38,38,36,35,36,41,49,57,62,63,61,56,49,41,35,33,33,35,36,36,34,31,29,29,30,38,49,62,74,83,83,73,60,46,34,25,25,29,30,30,32,28,31,37,44,51,55,55,54,47,44,41,39,39,40,40,39,32,30,28,27,26,27,28,29,31,36,42,46,50,52,55,58,56,56,56,55,53,51,49,48,44,43,43,42,43,44,45,46,47,45,42,38,35,33,31,31,29,28,26,23,22,26,32,36,44,49,56,61,59,52,42,36,31,30,28,27,25,25,25,25,25,25,25,25,24,24,24,24,27,28,31,33,35,35,35,35,33,34,34,32,30,31,36,42,51,58,69,78,83,82,79,76,66,61,55,50,46,42,39,36,38,40,43,45,45,43,40,38,33,32,29,27,24,23,22,22,19,19,19,19,19,18,16,16,18,18,17,17,17,16,16,16,14,14,14,14,13,11,10,9,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,6,6,5,5,6,6,7,6,6,6,5,5,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 11,12,13,14,16,17,18,19,16,16,17,18,19,20,20,21,24,25,26,29,31,33,35,36,32,33,35,37,38,39,39,39,35,34,33,31,30,30,30,30,32,35,38,40,41,43,47,49,47,50,54,58,61,65,71,75,79,82,90,100,107,112,123,133,148,162,180,198,217,237,251,255,255,255,255,254,252,251,254,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,253,252,254,246,224,211,202,187,171,164,155,146,142,140,138,138,135,136,141,148,154,158,160,161,150,145,137,130,127,127,128,128,127,122,114,105,96,86,77,71,68,66,65,67,74,85,96,103,111,115,121,126,127,125,121,118,114,120,131,149,173,192,196,191,165,138,105,82,69,64,64,67,67,62,54,44,38,37,42,46,55,58,63,67,71,77,83,87,97,99,100,97,91,80,69,63,55,56,61,71,85,99,111,117,119,110,97,83,68,61,68,79,103,118,133,136,129,113,93,77,62,54,49,52,57,60,63,67,66,63,58,54,52,52,54,55,55,51,45,39,36,35,36,37,38,37,36,35,37,40,44,46,52,51,50,46,41,38,38,39,42,43,43,41,39,38,38,40,40,42,43,41,37,31,25,22,23,25,26,27,27,29,33,37,55,67,80,85,82,72,56,41,32,31,33,41,52,58,56,51,39,34,27,24,24,25,25,25,21,22,23,25,28,32,34,36,38,37,36,37,42,50,58,63,61,59,54,47,39,35,34,34,38,39,39,37,33,30,30,30,37,48,63,76,85,86,75,62,48,37,28,28,31,31,31,31,28,30,34,40,46,48,48,46,41,40,39,41,44,46,46,46,37,35,31,27,27,28,30,32,33,36,40,43,44,46,48,50,50,49,49,48,46,44,42,40,37,36,34,33,35,38,41,43,43,42,40,38,34,30,27,25,26,25,24,23,23,28,34,39,47,51,57,59,56,47,37,31,26,26,25,25,25,25,25,25,27,26,25,24,24,25,27,28,31,33,36,39,40,40,39,38,39,40,39,37,35,36,41,45,51,56,63,68,70,68,64,61,54,50,45,41,38,36,33,31,35,37,39,41,42,40,38,37,34,33,32,31,29,27,25,25,21,20,20,19,18,17,16,16,19,18,18,18,17,17,17,17,15,15,15,14,13,12,10,9,7,7,7,7,7,7,7,7,8,8,8,8,8,8,8,8,6,6,5,5,5,5,6,6,6,6,6,5,5,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 12,12,13,14,16,17,18,18,16,16,17,17,18,19,19,20,22,23,25,27,30,32,34,35,31,32,34,35,36,37,37,37,36,35,34,33,33,33,33,34,36,39,43,46,48,51,54,57,55,58,63,68,72,78,84,88,93,95,103,113,121,127,138,149,161,180,204,224,241,253,255,255,253,254,254,254,253,253,254,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,254,254,240,215,201,192,176,162,155,146,138,134,131,130,129,134,138,145,154,162,167,165,162,150,141,131,125,126,130,135,139,138,131,121,109,99,88,79,73,70,69,69,72,80,90,100,106,113,116,120,123,124,123,120,118,114,119,129,145,168,187,193,190,167,143,111,88,74,67,67,70,69,65,58,48,41,38,39,41,48,52,57,62,67,74,80,85,97,99,101,99,92,81,70,63,56,57,63,73,88,101,110,114,113,103,88,73,60,53,60,71,92,105,119,123,118,107,91,78,65,56,51,52,56,58,60,63,60,58,54,50,47,47,47,48,46,44,41,38,39,41,45,48,47,45,43,42,43,46,50,52,53,52,50,46,42,40,42,43,46,49,52,52,50,46,44,43,40,40,40,38,36,31,26,23,23,23,23,23,24,29,34,38,53,64,75,79,76,66,51,37,30,30,32,39,47,51,49,45,34,31,26,23,23,23,23,23,19,21,24,28,32,34,36,37,39,37,35,36,40,47,55,60,57,55,51,44,37,33,33,34,40,42,42,40,37,34,32,32,39,51,65,78,87,87,76,63,50,39,30,29,31,30,29,29,27,28,31,36,40,42,41,40,36,36,39,44,49,52,52,51,43,39,34,30,28,29,31,33,32,35,37,37,36,36,37,39,40,40,40,39,38,37,35,34,31,30,28,27,29,33,37,40,39,39,39,37,33,29,24,22,24,25,25,25,27,31,37,42,50,53,56,56,51,43,33,27,23,24,25,26,27,28,28,28,30,29,28,27,28,30,32,33,38,39,42,44,45,44,42,41,45,45,44,42,41,42,44,46,51,53,56,59,58,54,50,47,43,39,35,32,30,29,27,26,31,32,35,37,38,38,36,36,36,37,37,36,35,33,31,29,25,24,23,21,20,19,18,18,19,19,19,19,18,18,18,17,16,16,15,15,13,12,10,9,7,7,7,7,7,7,7,7,8,8,8,8,8,8,8,8,7,6,6,5,5,6,6,7,6,6,6,5,5,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 13,13,14,15,15,16,17,17,16,16,17,17,18,18,18,19,20,21,23,25,27,30,31,32,31,32,33,35,35,36,36,36,36,36,36,35,36,37,38,38,39,43,47,51,54,57,60,63,66,69,75,80,85,91,98,103,105,107,115,126,134,142,154,165,179,200,226,244,254,255,255,251,253,254,255,255,255,255,254,253,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,253,235,208,195,184,166,153,147,137,129,124,121,118,116,126,134,145,156,167,174,170,163,147,134,122,119,123,131,141,150,149,141,127,114,101,91,82,77,73,75,78,83,91,100,108,113,117,116,116,115,114,113,112,111,111,116,125,139,160,179,187,185,165,142,113,90,76,69,69,73,72,69,63,54,46,41,40,41,42,46,52,58,64,71,78,83,94,96,99,99,93,83,72,65,58,59,63,74,87,98,104,105,99,89,76,63,52,48,55,65,85,97,109,112,109,101,89,79,70,60,53,53,55,55,55,58,54,52,49,45,43,42,43,43,39,39,39,41,45,51,56,60,57,55,51,49,49,51,54,57,53,51,49,45,42,42,45,48,51,57,65,68,66,59,52,48,42,40,37,36,35,33,30,27,25,24,22,22,24,29,34,38,48,58,67,70,67,60,47,36,30,29,29,34,39,42,40,37,31,29,27,24,23,22,22,22,20,24,29,35,39,41,42,42,40,38,35,35,37,43,50,55,54,52,47,40,34,31,32,34,40,42,44,43,40,37,36,36,43,54,67,78,86,86,75,62,48,37,29,29,31,30,28,28,27,27,29,32,36,38,37,36,33,35,40,47,54,56,56,54,46,43,37,32,29,28,30,31,29,31,31,30,29,28,29,30,32,33,33,33,32,31,30,30,26,25,23,23,25,28,32,35,37,37,37,36,33,28,24,21,23,25,28,30,32,36,40,44,52,53,53,50,45,37,29,25,22,24,26,28,30,31,32,32,33,32,32,32,33,35,37,38,45,46,47,47,47,46,44,43,46,46,47,47,47,48,48,48,51,52,53,52,49,44,40,37,34,31,27,24,24,23,22,21,26,27,30,33,35,36,36,36,38,40,41,42,41,38,35,33,30,28,26,24,22,21,20,20,20,20,20,19,19,19,18,18,17,17,16,15,14,12,10,9,7,7,7,7,7,7,7,7,9,9,9,9,9,9,9,9,8,7,7,6,6,7,7,8,6,6,6,5,5,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 15,15,15,15,15,15,15,15,16,16,17,17,17,18,18,18,17,18,20,22,25,27,29,30,31,32,33,34,35,35,35,35,36,36,36,37,38,39,41,42,43,47,52,57,60,63,66,69,77,80,86,91,97,103,110,115,117,120,128,139,148,156,170,182,200,220,242,253,255,255,255,253,255,255,255,255,255,255,255,253,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,248,227,200,187,175,153,143,137,127,119,113,109,106,103,112,123,138,153,168,177,173,163,143,127,114,113,121,133,147,158,156,146,130,113,100,90,82,78,81,85,92,101,111,119,125,128,123,119,112,106,102,100,100,101,105,110,117,129,148,168,176,176,159,137,111,90,76,70,71,75,78,76,72,65,57,51,48,48,44,47,52,57,61,67,73,77,85,89,93,94,90,81,71,64,59,59,63,72,84,92,94,93,85,75,65,56,49,47,55,65,81,91,100,102,99,95,86,78,74,64,55,53,53,51,50,52,49,47,44,42,40,39,39,40,35,36,40,45,51,58,65,68,65,62,57,53,51,53,55,58,51,50,47,44,42,43,48,52,60,70,82,89,87,78,66,59,44,40,36,34,35,35,34,32,29,26,24,23,25,30,34,36,45,52,58,57,55,51,43,35,29,27,26,28,31,33,32,30,30,29,28,26,24,22,22,23,25,30,36,43,48,50,50,49,43,40,37,34,36,40,46,50,51,48,44,37,32,30,31,33,37,40,43,43,41,39,38,38,43,52,63,73,79,79,68,56,42,32,25,27,31,31,29,30,26,26,27,30,34,35,35,33,32,35,42,50,57,59,58,55,47,44,38,32,28,26,26,26,24,25,26,25,24,24,25,27,31,31,31,30,30,28,27,26,25,24,23,23,25,28,31,33,36,36,36,34,32,28,25,22,24,27,32,35,38,40,43,45,52,51,48,43,38,31,25,22,21,23,26,30,33,34,35,36,34,34,34,35,37,38,40,41,47,46,45,44,43,42,41,40,42,44,47,50,53,54,52,51,51,50,49,46,41,36,32,29,29,25,22,19,19,19,18,16,21,23,26,30,33,35,36,36,39,41,43,45,44,41,38,36,33,31,28,26,23,22,22,22,21,21,20,20,20,19,19,19,17,17,17,16,14,12,10,9,7,7,7,7,7,7,7,7,9,9,9,9,9,9,9,9,9,9,8,8,8,8,9,9,6,6,6,5,5,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 16,16,16,15,15,14,14,14,16,16,17,17,17,17,18,18,15,16,18,20,23,25,27,28,31,32,33,34,35,35,35,35,35,35,35,37,38,41,42,44,47,51,57,62,65,68,72,74,83,87,92,98,104,110,117,122,130,133,141,153,162,172,185,198,215,233,250,255,254,254,255,255,253,253,253,254,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,250,242,219,192,180,166,143,135,129,119,111,105,100,97,94,100,113,131,148,166,177,173,162,140,123,109,109,120,133,149,163,157,146,128,111,97,87,80,76,89,95,105,117,128,135,140,142,128,121,111,101,94,91,92,93,98,103,109,120,139,158,167,167,154,133,108,88,76,69,71,76,85,84,81,74,66,60,57,56,49,52,55,57,59,62,66,70,76,80,85,88,85,77,67,61,59,59,61,70,80,87,87,85,76,68,59,53,48,48,56,66,78,87,95,95,93,90,84,77,76,65,55,52,51,47,46,47,46,45,42,40,38,37,38,38,33,36,41,47,55,62,68,71,69,65,59,54,52,52,55,57,50,49,46,43,42,44,49,54,69,81,96,106,104,93,79,70,45,40,35,33,35,37,37,36,31,28,25,24,26,30,33,35,44,49,50,48,46,44,40,34,28,25,23,23,25,27,26,25,29,30,29,27,25,23,23,23,30,34,42,49,54,56,56,55,46,42,38,35,35,39,44,47,49,46,42,35,30,28,30,33,34,37,41,42,41,39,39,39,40,48,58,66,72,72,61,49,37,28,22,25,30,31,31,32,25,25,26,29,32,34,34,32,32,36,43,51,58,60,58,55,47,44,38,32,27,24,22,22,20,22,23,23,22,23,25,28,31,31,31,30,29,27,25,24,26,26,26,26,27,29,32,33,35,35,35,34,31,28,26,24,24,29,34,39,41,42,44,46,51,49,44,39,33,27,22,20,21,23,26,30,34,36,37,37,33,34,35,37,38,40,41,41,44,43,41,39,37,36,35,35,39,41,46,52,57,58,56,54,49,47,45,40,35,30,26,23,26,23,19,17,17,16,15,14,19,21,24,28,31,34,36,37,39,41,44,46,45,42,39,36,34,32,29,26,24,22,22,22,21,21,21,20,20,20,19,19,18,18,17,16,14,12,10,9,7,7,7,7,7,7,7,7,9,9,9,9,9,9,9,9,10,10,9,8,8,9,10,10,6,6,6,5,5,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 15,15,15,15,15,15,15,15,15,15,16,16,16,17,17,17,18,18,18,18,19,21,24,25,27,28,29,30,31,32,33,33,34,36,38,39,40,42,45,48,53,57,63,68,72,76,80,84,86,91,99,105,111,118,127,134,138,143,152,161,171,184,199,210,234,244,253,254,254,255,255,254,255,255,255,255,255,255,255,255,254,254,254,254,254,254,254,254,255,254,252,252,253,255,255,255,253,255,255,255,255,251,246,243,231,229,217,199,183,171,156,142,128,122,115,108,96,85,81,83,89,105,127,149,166,173,166,155,133,109,97,102,112,132,150,152,154,138,118,101,87,78,78,83,95,108,123,136,147,156,156,153,141,126,108,95,86,80,79,83,93,95,102,114,129,140,146,148,132,121,102,84,72,70,76,82,86,91,91,82,72,67,64,62,57,54,53,57,58,58,60,65,67,72,76,75,74,73,68,62,60,62,66,72,76,77,75,72,61,55,48,43,45,52,62,69,80,82,84,85,84,82,80,78,71,65,57,51,48,46,45,45,43,43,42,41,41,40,39,39,35,37,41,48,57,64,68,69,70,64,57,51,48,47,46,45,46,44,42,39,39,43,50,55,70,88,105,113,117,113,93,70,53,40,30,32,36,39,42,47,46,40,33,28,27,29,31,32,37,38,40,41,39,36,32,29,23,23,22,21,22,23,25,26,32,32,31,29,26,25,27,29,34,39,47,56,61,62,61,60,52,46,39,35,34,36,38,39,40,40,38,34,29,27,28,29,38,38,39,40,41,40,37,34,36,40,47,54,56,53,45,39,30,26,23,26,32,35,34,32,31,29,27,27,30,32,33,32,37,39,44,51,57,58,54,49,44,39,32,25,20,20,21,23,18,20,21,21,21,23,27,30,36,38,40,39,35,30,27,25,29,28,28,29,32,33,32,31,36,36,35,33,30,28,26,24,25,28,33,38,41,43,44,44,44,42,38,34,29,24,21,19,19,20,23,26,28,29,29,29,33,33,34,35,37,38,39,40,38,38,36,32,29,29,31,33,38,43,48,52,58,63,62,57,51,46,39,33,29,26,24,21,22,21,20,18,18,17,17,17,20,21,23,26,29,33,36,38,40,41,42,42,41,39,36,34,32,31,29,26,24,23,22,22,23,22,20,19,18,17,17,17,17,17,16,15,13,12,11,10,11,10,9,8,8,8,8,9,12,12,11,11,11,10,10,10,10,10,9,9,9,8,8,8,7,7,7,6,6,5,5,5,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 14,14,14,14,14,14,14,14,15,15,15,15,16,16,16,17,18,17,17,17,19,21,23,24,26,27,28,29,30,31,32,32,33,35,38,39,41,43,47,50,54,58,64,69,73,77,81,85,87,92,100,107,112,120,129,136,144,150,159,169,179,192,207,217,238,247,254,255,254,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,252,255,255,254,244,229,217,212,211,196,194,184,169,156,146,133,121,119,113,107,100,89,77,73,74,82,98,122,145,162,168,160,148,126,103,93,99,109,129,146,149,149,134,114,98,85,78,79,85,99,113,129,144,157,168,170,167,146,129,107,91,80,75,78,83,92,93,98,106,116,123,126,126,112,105,92,79,72,74,82,89,94,99,99,89,79,73,70,67,63,59,57,58,58,56,57,61,63,69,72,72,72,72,69,63,66,66,68,70,71,69,65,61,54,50,44,42,45,54,64,71,79,80,81,81,80,77,73,71,66,61,55,51,49,49,48,47,48,48,47,45,43,41,39,38,37,38,42,49,57,63,67,68,65,60,53,47,45,44,43,43,43,43,43,42,42,46,51,56,73,90,108,117,122,118,98,76,51,38,29,30,36,41,46,52,52,45,37,31,29,30,32,33,33,34,34,34,33,30,27,25,23,22,21,21,22,23,25,27,33,33,33,31,28,28,29,31,38,43,51,59,65,66,66,64,54,47,39,33,32,34,36,37,40,39,37,33,29,27,28,29,35,36,38,41,43,43,40,37,37,39,44,48,50,46,40,34,30,27,25,28,34,37,35,32,30,28,26,27,30,32,33,33,36,38,43,49,54,54,50,45,39,35,29,24,21,21,22,24,22,23,24,24,25,28,32,35,41,43,46,45,41,36,33,31,34,33,34,36,39,40,40,39,39,38,36,33,30,27,25,23,25,28,33,38,41,43,43,42,40,38,34,30,26,22,19,17,18,19,21,23,25,26,26,26,28,29,31,34,36,37,38,38,36,35,33,29,26,25,27,29,35,42,48,54,60,65,63,58,53,48,40,33,30,27,25,24,24,23,21,20,18,18,17,17,19,20,23,26,29,32,35,36,38,39,40,40,38,36,34,32,31,30,29,27,25,23,23,22,22,21,20,19,18,18,18,18,18,17,16,15,14,12,11,11,11,11,10,9,8,8,9,9,13,12,12,12,11,11,11,10,11,10,10,10,9,9,9,8,7,7,7,6,6,5,5,5,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 14,14,14,14,14,14,14,14,14,14,14,15,15,16,16,16,17,16,17,17,18,20,21,22,25,25,26,27,29,30,31,31,32,34,37,40,42,45,50,53,57,61,66,71,74,78,82,85,87,93,101,108,115,123,132,139,152,158,168,178,188,201,215,225,242,250,255,255,254,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,254,252,255,254,241,219,194,178,172,172,163,161,153,142,133,125,115,105,108,103,98,92,82,70,65,66,76,94,119,143,160,164,154,141,116,96,88,96,107,125,142,144,142,127,108,94,83,78,81,87,105,118,135,149,164,175,178,176,152,132,106,87,75,71,75,82,87,88,91,95,100,103,103,101,91,87,80,74,73,78,88,95,104,108,107,97,86,80,76,72,70,65,60,59,57,53,54,58,59,65,69,69,71,74,72,68,70,70,69,68,66,61,55,50,45,43,40,40,46,55,65,71,77,78,78,77,73,68,63,60,58,55,53,52,54,55,55,55,57,57,55,53,49,44,40,38,39,40,43,50,57,62,65,65,59,54,48,44,42,41,40,40,42,43,45,46,46,49,52,55,70,87,105,116,122,118,99,79,49,38,28,29,38,47,55,60,61,54,44,36,32,32,33,33,32,32,31,30,28,26,24,23,23,22,21,21,22,24,26,27,33,33,34,33,31,31,33,35,40,45,53,61,66,69,68,67,57,49,39,31,28,30,33,35,38,38,36,32,29,27,28,29,32,34,38,43,48,48,46,43,40,40,41,42,42,39,34,29,30,29,29,33,37,39,37,33,29,27,26,27,30,33,34,34,35,37,41,46,49,48,43,40,32,30,27,24,23,24,25,27,27,28,28,28,29,32,36,40,46,50,53,54,51,47,45,43,43,43,44,47,49,50,49,47,44,42,38,34,29,26,23,22,24,27,33,38,41,42,41,39,35,33,30,26,22,19,17,16,18,18,19,20,21,21,22,22,22,24,28,31,34,36,37,37,33,33,30,26,22,21,22,24,32,40,49,56,64,68,66,59,56,50,41,34,30,28,28,27,27,26,24,21,19,18,17,17,18,20,23,26,29,32,34,35,36,36,35,35,34,32,30,29,29,28,27,26,24,23,22,22,20,19,19,18,18,18,19,19,18,17,16,15,14,13,12,12,12,11,10,10,9,9,10,10,14,13,13,13,12,12,12,11,12,11,11,11,10,10,10,9,7,7,7,6,6,5,5,5,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 13,13,13,13,13,13,13,13,14,14,14,14,15,15,16,16,16,16,16,17,18,19,20,21,23,24,25,26,28,29,30,31,30,33,37,40,43,47,52,56,59,62,67,72,75,78,82,85,88,94,103,110,117,125,135,143,158,165,175,185,195,207,220,229,243,252,255,255,254,255,255,255,255,255,255,255,255,255,255,255,254,254,254,254,254,254,254,254,255,254,251,250,252,254,255,255,247,236,216,191,169,154,148,147,144,140,134,126,119,112,104,97,98,94,91,87,78,68,64,65,79,96,122,145,161,164,153,139,111,93,88,97,107,123,138,139,134,119,102,89,80,76,81,88,105,117,133,146,158,169,171,169,152,132,107,87,75,70,73,80,81,82,83,85,86,87,85,84,77,76,75,75,77,84,93,100,111,114,112,102,92,86,81,76,75,68,62,59,55,52,52,57,59,65,69,71,75,80,80,76,74,72,69,66,63,58,51,46,40,39,38,41,46,55,63,69,74,74,74,72,68,61,55,51,51,50,51,55,61,66,68,69,68,67,65,61,55,49,43,40,41,42,45,50,56,60,61,60,54,50,45,42,41,41,40,39,43,46,49,50,50,50,50,51,61,75,93,105,112,108,92,75,48,39,30,32,43,55,65,70,70,62,51,41,36,35,35,35,36,35,33,32,30,28,27,26,23,23,22,22,23,24,26,28,31,32,33,33,32,32,34,36,39,44,51,59,65,68,68,68,60,52,39,30,26,28,30,32,36,36,34,31,28,27,28,30,31,34,40,47,53,55,54,51,47,44,42,40,38,36,32,30,31,31,33,36,39,40,37,34,28,27,26,28,31,35,37,37,35,37,39,42,42,40,37,34,29,28,28,28,29,30,30,31,31,31,31,30,29,32,37,40,49,54,60,63,63,62,60,60,59,59,60,61,62,60,56,53,47,44,39,33,28,24,22,21,23,27,32,38,41,41,39,38,33,31,28,24,21,19,18,17,19,19,18,18,19,19,20,20,19,22,26,30,34,36,36,36,34,33,30,26,21,20,21,23,31,40,51,59,67,72,68,61,57,50,41,33,30,30,30,30,30,29,26,23,21,19,18,17,18,20,24,28,31,33,33,33,33,33,31,30,28,27,26,26,26,25,25,24,23,22,21,20,17,17,17,16,16,17,18,19,18,18,17,16,15,14,14,13,13,13,12,11,10,10,11,11,14,14,14,13,13,13,12,12,12,12,12,11,11,11,10,10,7,7,7,6,6,5,5,5,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 13,13,13,13,13,13,13,13,14,14,14,15,15,16,16,16,16,16,17,18,19,19,19,19,22,23,24,26,28,29,30,31,30,33,37,41,44,49,54,58,60,64,69,73,75,78,82,84,89,95,104,113,120,129,140,147,166,173,183,193,201,211,222,229,241,250,255,255,254,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,254,254,255,255,255,254,251,228,211,188,168,156,147,140,134,132,126,120,113,106,98,90,86,89,85,83,81,75,67,65,68,84,101,124,144,158,161,149,135,110,94,93,102,109,121,133,133,125,111,94,83,76,75,82,91,101,112,126,136,147,155,157,154,142,125,104,89,78,71,71,75,76,76,75,74,72,70,69,69,68,70,74,78,84,93,102,109,116,119,116,106,98,93,87,82,78,70,62,58,54,50,52,57,60,67,73,77,82,88,89,86,81,77,70,64,59,53,47,43,39,39,40,43,48,55,60,64,71,71,72,70,65,58,51,46,47,48,51,58,68,76,80,82,78,76,73,67,61,53,48,44,43,44,47,51,56,58,58,56,52,49,45,43,43,43,43,42,46,49,53,54,52,49,47,46,52,62,76,88,96,94,81,68,49,43,37,40,52,67,76,79,77,68,55,44,39,37,37,37,40,39,38,35,33,31,30,29,25,24,23,22,23,24,26,27,28,30,32,32,31,31,33,34,38,43,50,58,64,67,68,68,62,53,40,30,26,26,28,30,32,33,32,30,28,28,30,32,34,37,43,51,58,61,61,59,55,51,46,41,39,38,36,34,33,34,35,37,39,38,35,33,28,27,27,29,33,37,40,40,38,38,39,38,35,33,31,30,30,32,34,36,37,36,35,34,32,32,30,29,28,30,35,39,51,57,66,73,76,76,77,77,81,80,79,79,77,71,64,59,49,45,39,32,26,23,21,21,23,26,32,37,40,41,40,39,36,34,30,26,23,22,21,21,21,21,22,22,22,22,22,22,20,22,26,30,33,35,36,37,36,35,32,28,23,22,23,25,32,41,52,61,68,72,68,60,54,48,39,32,30,31,31,32,31,30,27,24,21,19,18,17,20,23,27,31,34,35,34,34,32,31,28,26,24,23,23,23,22,23,23,23,23,22,20,19,16,16,16,15,16,16,17,18,18,18,17,17,16,15,15,15,14,14,13,12,12,12,12,12,14,14,14,13,13,13,12,12,12,12,12,11,11,11,10,10,7,7,7,6,6,5,5,5,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 14,14,14,14,14,14,14,14,15,15,16,16,16,17,17,17,16,17,18,19,20,20,19,19,22,23,24,26,28,30,31,32,33,36,40,44,47,52,57,61,63,67,71,75,77,80,83,85,92,98,108,117,125,135,146,153,173,181,190,199,205,213,221,227,234,244,253,254,254,255,255,254,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,255,251,254,255,255,255,249,237,229,205,188,166,152,148,144,135,127,127,120,112,106,98,88,80,78,78,75,74,74,71,67,68,73,90,103,122,138,150,152,141,129,112,97,97,105,109,117,126,124,113,100,85,77,73,76,85,96,101,110,121,128,134,140,139,135,123,110,96,85,77,69,67,70,71,70,67,62,58,55,56,57,64,68,74,81,90,100,110,117,119,120,118,110,104,100,95,88,79,71,62,57,52,49,51,56,60,69,77,83,89,95,95,92,88,81,70,59,52,46,41,38,40,41,43,47,51,55,58,60,67,69,70,69,65,59,52,47,46,47,51,58,69,78,85,88,84,81,76,69,62,55,51,48,48,48,51,54,58,59,57,54,52,49,46,45,46,47,46,46,48,51,55,55,52,48,45,43,46,51,60,71,79,79,72,64,51,49,47,51,64,79,86,85,80,71,57,46,40,38,39,39,43,42,42,40,37,35,32,31,27,26,24,23,23,23,24,25,27,29,31,32,31,30,31,32,38,42,49,56,63,66,68,69,61,52,40,30,25,24,25,26,28,29,29,28,28,29,32,35,38,40,45,52,59,64,65,65,60,56,49,44,42,42,41,40,36,36,37,37,36,34,32,30,29,28,28,31,36,41,43,44,43,42,39,34,30,27,28,29,35,37,41,44,44,42,38,36,31,30,29,28,28,31,37,42,56,63,74,83,88,90,91,91,99,98,97,94,89,81,71,64,48,43,36,29,24,22,22,23,24,27,31,36,40,42,43,43,42,39,35,31,28,26,26,26,25,26,28,29,29,28,27,26,24,25,27,29,31,33,35,36,36,35,32,28,24,23,25,27,32,41,51,59,65,68,64,56,48,43,36,31,30,31,32,32,31,30,27,24,22,20,18,18,22,26,31,36,39,38,37,35,33,30,27,23,21,21,22,23,22,23,24,25,24,23,22,21,19,18,17,17,17,17,17,18,18,18,18,17,17,16,16,16,16,15,14,13,13,13,13,14,14,13,13,13,12,12,12,11,12,11,11,11,10,10,10,9,7,7,7,6,6,5,5,5,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 14,14,14,14,14,14,14,14,16,16,17,17,18,18,18,18,17,18,20,21,21,21,20,19,22,23,25,27,29,31,32,33,38,41,45,49,52,56,61,65,68,71,75,78,80,83,86,88,96,103,113,122,131,141,152,160,177,184,193,200,204,209,215,220,226,238,249,253,254,255,255,253,255,255,255,255,255,255,255,255,254,254,254,254,254,254,254,254,250,250,249,245,236,222,207,196,179,166,151,143,142,139,132,125,127,118,109,104,96,84,76,75,72,69,68,69,69,69,74,81,95,106,120,132,141,143,134,122,112,99,99,106,106,111,116,113,101,89,77,71,72,78,91,103,109,116,121,122,122,121,117,110,103,93,82,76,70,64,62,64,64,63,59,54,49,49,52,56,66,70,76,83,91,100,109,116,116,117,115,109,105,103,98,91,82,73,62,55,50,46,48,53,58,68,79,86,93,98,97,93,85,76,63,51,43,39,37,36,40,42,46,50,54,57,59,60,65,67,70,71,68,62,56,52,48,47,49,55,64,74,81,84,85,81,74,67,60,55,52,50,54,54,56,59,62,61,58,55,51,49,47,47,48,50,49,48,47,50,54,55,52,48,45,43,43,43,47,56,63,66,63,61,54,56,58,63,76,90,93,89,80,71,57,46,40,39,40,41,46,47,47,46,43,40,36,34,30,28,26,24,23,22,23,23,27,30,32,32,31,30,30,31,34,38,45,53,59,63,65,66,57,49,38,28,23,21,21,21,24,25,27,27,28,30,35,38,40,41,45,51,58,63,66,66,61,56,50,45,44,44,44,44,38,38,37,35,32,29,28,28,30,29,29,33,38,43,46,47,48,45,40,32,25,24,27,30,40,43,47,50,49,44,38,34,28,29,29,29,31,37,44,50,64,72,83,92,97,99,100,100,105,104,103,100,94,84,72,64,45,41,33,27,22,22,23,24,25,27,30,35,39,43,46,47,47,44,39,34,31,29,29,30,28,31,34,37,38,36,33,31,28,28,27,26,28,30,32,34,33,32,30,26,23,22,24,26,32,40,48,54,59,62,57,49,42,38,33,30,30,31,32,32,30,29,26,24,21,20,19,18,25,29,35,40,43,42,39,37,34,31,26,22,20,20,22,23,23,25,26,28,28,27,25,24,23,22,21,20,19,19,19,20,19,18,18,18,18,17,17,17,17,16,15,14,14,14,14,14,13,12,12,12,11,11,11,10,11,10,10,10,9,9,9,8,7,7,7,6,6,5,5,5,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 15,15,15,15,15,15,15,15,17,17,18,18,18,19,19,19,18,19,20,22,22,21,20,19,23,23,25,27,29,31,33,34,42,45,49,52,55,59,65,68,71,74,78,81,83,85,88,90,100,107,117,126,135,146,157,165,176,182,191,197,201,204,209,213,221,234,247,252,254,255,255,253,255,255,255,255,255,255,255,255,250,250,250,250,250,250,250,250,252,245,233,220,206,193,180,173,158,151,143,139,137,135,130,126,125,114,105,101,92,79,72,71,71,68,67,69,70,73,80,88,100,109,119,129,137,139,131,120,112,99,99,105,104,106,109,105,92,81,71,68,71,81,96,109,119,123,124,119,112,106,97,89,90,81,71,67,63,59,58,61,57,57,54,50,48,50,57,63,72,75,79,84,89,96,104,109,111,113,110,105,103,102,97,90,85,74,63,55,48,43,45,50,56,66,78,87,94,98,97,92,78,69,55,44,38,37,37,38,40,42,47,52,57,59,60,60,64,66,70,72,70,65,60,56,49,48,48,52,60,69,75,79,84,79,72,64,57,53,51,51,58,58,60,63,65,64,60,57,51,49,47,48,49,51,50,50,45,49,53,54,52,48,46,45,40,37,39,45,53,57,57,57,56,61,64,70,83,96,97,90,79,70,57,46,40,40,41,43,50,51,52,52,49,45,40,37,31,29,27,24,23,22,22,22,28,31,33,33,32,30,30,30,30,34,40,48,54,58,61,62,53,46,35,27,21,19,18,17,22,23,25,27,28,31,36,39,42,42,44,49,56,62,65,66,60,55,49,45,44,45,45,45,39,39,37,33,29,26,26,26,31,30,30,34,40,45,48,49,51,48,40,31,23,22,26,31,42,46,50,53,51,45,37,32,27,27,28,30,34,42,51,57,71,78,89,98,103,104,105,105,103,103,101,98,92,81,69,61,43,38,31,25,21,22,24,26,26,27,30,34,39,44,48,50,50,47,42,36,33,31,31,31,31,34,39,42,43,41,38,35,31,29,26,25,25,27,30,32,30,29,27,24,21,21,23,25,31,38,45,50,55,57,52,44,37,34,30,29,30,31,31,31,29,28,25,23,21,20,19,19,27,31,38,43,45,44,41,39,35,31,27,22,20,20,22,23,25,27,29,31,31,30,28,27,27,26,25,23,22,22,21,22,19,19,18,18,18,18,18,17,17,16,15,15,14,14,15,15,12,12,11,11,11,10,10,10,10,10,9,9,9,8,8,8,7,7,7,6,6,5,5,5,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 13,13,14,14,15,16,17,17,17,18,20,21,22,21,20,19,20,20,21,22,22,23,23,24,26,27,29,31,35,38,41,43,44,47,51,54,57,60,65,68,73,77,81,83,85,89,96,101,106,113,124,133,141,150,160,167,173,175,181,189,192,194,200,208,214,220,231,242,250,253,253,252,253,254,255,253,247,241,236,234,230,227,223,221,221,221,220,219,213,209,200,188,175,163,153,147,135,132,128,126,124,123,120,118,112,108,102,95,86,79,73,70,67,67,68,70,75,81,87,91,94,104,113,118,122,127,124,117,105,101,99,99,101,99,92,86,78,70,64,67,76,91,111,127,136,146,147,136,122,109,92,76,73,66,62,64,65,61,58,57,57,55,51,49,50,54,59,62,71,74,78,81,84,89,94,98,102,106,108,106,104,103,98,92,85,77,64,51,42,41,44,48,54,63,77,89,96,94,88,83,74,60,46,39,36,33,34,37,42,47,54,58,58,57,58,60,59,64,71,74,74,71,68,67,50,47,43,44,49,57,64,67,73,67,61,57,52,49,53,60,60,62,65,68,69,66,62,58,53,50,48,48,50,50,47,44,45,47,50,51,48,46,45,44,36,38,40,42,44,48,54,58,62,66,73,80,85,88,89,90,74,64,52,45,40,37,40,46,46,48,51,52,50,46,40,37,31,27,23,19,19,22,26,29,35,35,35,34,33,30,27,26,26,29,35,43,50,54,55,54,46,40,32,25,22,22,21,21,20,21,22,25,29,34,39,41,41,44,48,50,51,52,54,56,52,48,43,42,44,46,47,46,43,40,35,30,28,27,27,28,27,29,31,34,37,42,48,53,50,48,42,33,25,22,26,30,41,50,58,58,50,40,34,32,31,32,35,42,48,53,59,64,85,90,97,104,106,104,99,96,96,92,88,85,81,72,58,47,37,32,25,22,22,24,24,23,24,26,29,35,42,49,55,59,56,52,47,41,36,33,32,31,36,38,42,47,49,47,42,37,29,26,23,22,23,25,26,26,25,24,22,21,20,21,22,22,26,33,41,44,47,49,46,40,34,30,26,25,27,30,33,34,29,27,24,21,19,19,20,21,29,33,40,45,48,47,44,42,38,34,29,23,20,19,21,22,25,27,30,33,35,35,35,34,33,32,31,28,26,24,22,21,23,22,21,20,20,20,20,20,18,18,17,16,14,13,12,12,12,12,11,10,10,9,8,8,8,8,8,8,8,8,8,8,6,6,6,5,5,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 13,14,14,15,16,17,17,17,17,18,20,21,21,21,20,20,20,21,21,22,23,23,24,24,27,28,29,32,35,39,42,43,46,49,53,57,59,63,67,70,73,77,82,85,87,92,99,105,113,120,130,137,144,152,161,167,172,173,178,185,187,188,193,200,201,207,217,227,234,236,236,236,235,234,232,229,224,219,213,210,202,198,194,192,191,191,190,188,183,179,172,162,150,140,131,127,119,116,112,109,108,107,105,103,99,97,93,87,80,74,69,67,65,66,69,73,78,84,89,92,95,103,110,112,115,119,116,110,103,99,96,95,95,91,84,77,70,63,60,66,79,98,121,139,155,164,165,151,133,116,94,76,70,63,59,62,63,59,56,56,58,57,55,54,55,58,61,64,67,69,71,73,75,79,84,88,97,102,105,104,102,100,95,88,80,74,64,53,46,45,47,50,54,62,74,85,91,89,83,78,67,55,42,37,36,35,37,41,46,51,56,59,60,60,61,63,62,65,71,76,78,76,72,69,53,47,41,38,40,46,52,55,62,57,53,51,48,46,50,56,63,65,68,71,71,68,63,59,54,51,48,48,50,51,49,47,46,48,49,49,47,45,45,46,39,40,41,42,43,47,53,57,61,65,71,77,82,83,83,82,67,58,47,41,37,35,38,45,47,48,51,51,49,45,40,37,32,28,23,20,20,24,29,33,38,39,40,39,37,34,30,27,23,25,29,36,43,46,46,45,39,33,26,21,19,19,19,18,19,19,21,25,30,35,40,43,43,45,47,47,46,46,47,49,45,42,39,40,44,48,50,51,48,45,39,33,29,27,27,27,28,29,31,32,34,38,45,49,47,44,39,30,23,22,26,31,42,49,56,55,47,38,33,32,33,36,43,52,60,66,73,77,88,92,97,100,99,95,88,84,80,76,72,70,67,59,48,39,34,29,24,22,22,24,24,23,23,25,29,35,42,49,55,58,56,53,47,41,36,32,30,29,35,37,42,47,49,46,40,35,26,23,20,20,21,22,23,22,25,23,21,19,18,18,19,20,24,31,38,41,43,45,42,36,31,28,25,25,28,31,33,33,31,28,25,22,21,21,21,22,29,34,40,45,48,47,44,42,38,35,30,25,22,21,22,23,27,29,32,34,36,36,36,35,38,37,36,34,32,29,28,27,25,24,23,22,22,21,21,21,18,18,17,16,14,13,12,12,12,12,11,10,10,9,8,8,8,8,8,8,8,8,8,8,6,6,6,5,5,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 14,14,15,16,16,17,18,18,18,18,19,20,21,21,20,20,21,21,22,23,24,25,25,26,28,29,30,33,36,40,43,44,49,52,56,59,62,65,69,72,72,77,83,87,91,97,105,112,121,127,135,141,146,151,158,163,167,167,170,175,177,176,180,185,190,195,203,211,216,218,218,217,215,210,204,200,197,193,186,181,171,168,164,161,159,158,156,155,152,148,142,134,125,116,110,106,99,96,92,89,89,88,87,85,83,82,80,77,73,68,65,63,62,64,69,75,81,87,90,93,94,99,103,103,105,108,106,103,102,98,93,90,87,82,74,68,65,60,60,68,83,105,132,152,175,185,185,169,148,125,99,77,67,60,56,58,60,57,55,55,60,60,59,59,60,61,63,64,63,63,63,63,64,68,75,79,92,98,102,101,99,97,90,83,72,69,63,58,54,53,54,55,57,62,70,79,83,82,76,71,59,48,38,36,38,40,43,48,53,57,61,63,64,65,66,67,66,67,71,77,83,83,79,74,59,52,42,35,34,37,40,43,50,46,45,45,44,42,46,53,64,67,71,73,73,70,65,62,56,54,51,51,52,53,53,53,49,50,50,48,45,44,45,46,43,43,42,41,42,45,50,54,57,61,67,72,74,74,71,69,56,48,40,36,33,32,36,42,46,47,49,49,47,43,38,35,31,28,24,22,24,30,37,42,47,48,50,49,46,40,33,29,21,22,25,30,34,37,37,36,31,27,22,18,18,18,19,18,17,18,20,24,30,37,43,46,47,47,46,43,40,37,37,38,37,36,36,39,46,52,57,59,57,53,46,39,33,29,28,27,30,30,29,28,28,32,38,43,43,41,36,28,23,23,29,35,43,48,53,50,42,35,33,34,39,46,56,65,72,78,82,84,88,90,92,92,88,80,71,65,59,56,53,51,50,45,38,32,30,27,24,22,23,24,24,23,23,26,30,37,44,50,55,58,57,54,48,41,35,30,27,26,32,36,42,47,49,45,37,31,22,20,19,19,21,22,22,21,25,23,20,17,16,16,16,17,21,28,34,36,38,39,36,30,28,26,25,27,30,32,33,33,32,30,27,24,22,22,23,24,30,34,40,45,47,47,44,42,39,36,31,27,24,23,24,25,29,31,33,36,37,38,37,37,41,41,40,39,37,34,32,31,28,27,27,26,25,24,23,23,18,18,17,16,14,13,12,12,12,12,11,10,10,9,8,8,8,8,8,8,8,8,8,8,6,6,6,5,5,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 14,15,15,16,17,18,18,18,18,18,19,19,20,20,20,20,22,22,23,24,25,26,27,27,29,30,31,34,37,41,44,46,51,53,57,60,63,65,69,72,72,77,84,89,94,102,111,118,125,130,137,142,144,147,152,156,159,157,159,164,165,164,166,171,178,182,188,193,197,198,197,196,194,186,177,172,170,166,159,153,146,143,138,134,133,131,129,127,126,123,118,111,103,97,92,90,84,81,78,76,75,75,74,73,71,70,69,67,64,62,59,58,58,62,68,75,82,86,88,89,91,92,94,95,97,99,101,101,105,101,95,89,83,76,68,63,67,64,65,73,88,110,138,159,186,196,198,183,160,134,105,81,65,58,54,57,59,57,56,56,63,63,63,63,62,61,59,58,55,55,55,55,57,63,72,78,91,97,101,100,97,93,85,77,66,65,65,65,67,67,66,65,64,66,69,74,78,76,70,65,53,43,36,37,43,47,53,58,62,64,67,69,70,71,72,72,70,69,71,78,85,88,83,78,68,60,49,40,36,36,38,39,44,42,41,43,42,41,44,50,60,64,69,73,73,71,69,68,62,60,58,56,56,58,59,59,56,55,53,48,44,42,43,44,44,44,43,40,39,41,45,48,51,55,59,63,64,61,57,54,45,38,32,31,30,29,34,40,44,45,45,44,42,38,35,33,28,26,25,26,31,39,48,54,61,62,63,61,55,46,37,31,23,23,23,26,29,30,29,28,26,23,20,19,20,21,22,22,17,17,20,24,30,38,45,49,51,50,47,41,35,32,31,32,32,33,36,42,50,57,64,67,66,61,54,45,38,33,31,30,32,31,28,25,24,26,31,35,38,37,33,28,24,25,32,39,44,47,48,44,36,32,34,37,50,60,71,76,77,78,78,75,79,80,81,79,72,63,53,47,42,40,38,38,39,37,34,31,27,26,25,24,25,25,25,25,26,29,35,41,47,52,56,58,56,53,47,41,34,29,25,24,31,34,41,46,48,43,34,27,20,19,20,22,26,28,28,28,29,26,22,18,16,15,16,17,19,26,31,32,33,34,31,25,26,26,27,29,33,35,35,33,33,31,28,25,23,23,24,25,30,33,38,43,45,45,43,41,38,36,32,28,26,25,26,27,31,32,34,36,37,38,38,38,40,41,41,40,39,36,34,33,31,31,30,29,27,26,24,24,18,18,17,16,14,13,12,12,12,12,11,10,10,9,8,8,9,9,8,8,8,8,7,7,6,6,6,5,5,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 14,14,15,16,16,17,18,18,18,18,18,18,19,19,20,20,22,23,24,25,26,28,29,29,30,31,33,35,38,42,45,47,51,53,57,60,62,65,68,71,73,78,85,91,96,104,113,121,127,133,139,143,143,144,147,151,152,149,150,155,157,156,157,160,163,165,168,171,172,172,171,170,167,159,149,144,142,139,132,127,122,118,113,110,108,106,103,102,102,99,94,88,82,77,74,72,73,71,69,68,68,68,66,64,61,60,58,56,54,53,52,51,56,60,67,74,79,81,82,81,83,83,84,88,92,96,100,104,109,105,99,92,85,77,70,65,70,68,71,79,93,113,140,161,191,202,204,189,166,139,107,82,64,57,53,56,59,58,58,59,64,64,64,63,60,56,52,50,45,46,47,49,55,64,76,83,96,102,104,101,96,90,80,71,62,64,68,74,80,83,81,79,75,73,71,72,74,73,67,61,51,43,38,42,49,56,62,68,70,72,74,76,78,79,78,77,73,70,70,75,83,86,84,80,73,66,57,49,45,44,43,43,43,40,40,41,40,38,42,48,54,59,65,69,71,72,74,76,71,70,68,66,64,64,65,65,64,62,57,50,44,40,40,41,43,43,42,40,38,37,40,42,44,47,50,52,52,49,44,41,37,31,27,28,29,29,34,40,42,42,41,39,37,34,31,29,26,26,27,32,40,50,60,67,75,75,75,72,64,52,40,33,25,23,21,21,23,24,23,22,22,20,19,19,22,24,24,24,18,19,20,24,30,37,45,49,53,51,46,40,33,30,31,32,35,38,42,47,54,61,68,72,72,67,59,50,43,38,36,35,34,33,30,25,22,23,26,29,33,33,31,27,25,27,34,40,45,46,44,38,31,31,36,43,61,73,83,83,78,75,69,62,64,64,65,63,57,48,40,34,29,29,30,31,33,35,34,34,29,29,28,28,27,27,28,29,33,36,41,47,51,54,56,56,53,50,46,40,34,29,25,23,30,33,39,45,45,40,31,24,19,21,24,30,36,40,41,40,35,32,27,22,18,17,18,19,19,25,30,30,31,33,29,24,27,27,28,31,35,36,36,34,33,31,27,24,23,23,24,24,28,31,36,40,42,41,39,38,36,34,31,28,26,26,26,27,30,31,32,34,35,35,36,36,39,40,41,41,40,38,36,34,32,32,32,31,29,27,24,23,18,18,17,16,14,13,12,12,12,12,11,10,10,9,8,8,9,9,9,8,8,7,7,7,6,6,6,5,5,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 13,13,14,14,15,16,17,17,18,18,17,17,18,19,20,20,23,23,25,26,28,29,30,31,31,32,34,36,40,43,46,48,51,53,57,60,61,64,67,70,74,79,86,91,96,104,113,120,128,133,140,143,143,143,145,148,148,144,143,148,150,149,148,150,150,151,152,152,152,150,149,148,142,136,129,124,121,117,112,108,104,101,96,92,90,88,86,84,84,82,77,72,68,65,64,63,65,65,64,65,66,64,61,58,55,53,50,47,46,46,48,49,58,61,67,72,75,75,74,72,75,73,76,83,89,95,101,108,112,109,103,95,87,80,75,72,72,72,75,83,94,111,136,157,187,198,202,187,164,136,104,79,64,56,52,56,59,60,60,62,63,63,62,60,57,52,47,44,38,40,44,50,59,71,84,93,106,109,109,102,94,85,74,64,59,62,70,81,92,97,96,93,87,80,74,72,73,71,65,60,54,46,42,47,56,63,70,75,77,78,81,84,87,86,83,80,74,71,69,70,75,79,80,79,75,71,66,61,58,54,50,48,43,40,39,39,38,37,41,48,52,56,62,65,68,71,78,83,82,83,82,79,74,71,70,70,68,66,61,53,46,41,40,40,42,43,44,42,39,37,37,37,39,41,42,43,42,40,37,35,33,28,26,29,30,31,36,42,42,41,39,36,33,31,29,28,26,28,32,40,49,60,69,75,83,83,82,77,68,56,44,37,26,23,19,18,18,18,18,17,18,17,18,20,23,25,25,25,22,21,22,24,29,36,43,48,50,48,44,38,33,33,35,38,43,46,50,53,57,61,66,70,72,67,60,52,45,41,39,39,38,38,35,31,27,25,26,28,29,31,31,30,28,30,36,41,46,45,40,33,27,30,40,49,69,83,92,86,77,70,61,51,47,48,50,49,45,38,31,27,22,24,27,31,34,37,38,39,34,34,34,32,30,30,33,35,40,43,48,52,54,55,53,52,48,47,43,39,34,29,26,24,30,33,38,42,42,37,29,22,21,23,29,37,45,50,51,51,42,38,31,25,21,20,20,21,21,27,31,31,32,34,31,27,28,28,28,31,34,36,35,34,31,29,26,23,21,21,22,23,25,28,32,35,37,37,35,34,32,31,29,26,25,25,25,25,28,28,29,30,30,31,32,32,38,39,41,42,41,39,37,35,33,33,33,32,29,26,23,21,18,18,17,16,14,13,12,12,12,12,11,10,10,9,8,8,10,10,9,8,8,7,6,6,6,6,6,5,5,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 12,12,12,13,14,15,15,16,18,18,17,17,17,18,20,21,23,24,25,27,29,30,31,32,32,33,35,37,40,44,47,49,52,54,58,60,62,64,68,70,75,80,86,91,95,102,111,117,124,130,137,140,140,140,141,144,143,137,135,138,140,137,135,136,137,137,136,134,132,130,129,127,118,116,112,107,102,98,95,94,91,87,82,79,78,76,74,73,70,68,65,62,60,59,60,60,62,63,65,67,68,65,60,56,54,51,47,44,44,47,51,54,63,65,69,71,72,70,67,65,67,65,69,79,88,93,101,109,111,108,104,97,89,83,79,77,77,77,81,86,92,104,125,143,169,182,187,175,154,129,99,75,62,55,51,54,59,59,60,63,59,59,59,57,54,50,46,44,40,43,50,58,69,83,97,106,115,116,113,102,90,80,68,57,57,61,70,85,99,106,106,103,95,86,76,71,71,69,64,58,57,49,46,51,60,67,73,79,82,83,86,91,94,92,87,82,75,72,68,65,66,70,75,78,79,78,77,75,72,66,59,54,46,42,40,41,40,40,46,54,53,57,61,63,65,70,80,87,93,94,94,91,84,77,74,73,69,67,63,56,49,44,42,42,42,44,46,46,42,39,36,36,37,37,38,38,37,36,34,33,32,29,28,31,33,34,38,44,43,42,39,35,32,30,29,29,30,33,39,47,57,66,73,77,83,83,82,77,69,58,48,41,29,26,21,18,18,18,18,18,19,19,20,23,27,29,29,28,26,24,23,24,28,35,41,45,45,43,40,36,34,36,41,45,52,55,57,58,57,58,61,64,67,63,57,50,45,42,41,41,44,44,43,39,34,31,30,31,33,36,39,39,37,38,42,46,46,43,37,29,25,31,44,56,75,90,96,86,71,61,49,37,36,37,39,40,37,33,27,24,22,25,31,36,40,43,45,47,41,41,39,36,33,33,37,41,46,48,52,55,55,53,49,47,44,43,40,38,34,31,28,26,31,33,36,39,39,35,27,21,23,26,33,42,50,55,56,55,46,42,35,27,23,21,21,22,24,29,33,34,35,37,35,31,29,27,27,28,31,33,32,31,29,27,23,21,19,19,20,20,22,24,28,31,32,32,31,30,29,28,26,25,24,23,23,23,25,25,25,25,26,27,28,29,34,35,38,39,39,37,34,32,32,32,32,31,29,25,21,19,18,18,17,16,14,13,12,12,12,12,11,10,10,9,8,8,10,10,9,8,8,7,6,6,6,6,6,5,5,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 11,11,12,12,13,14,15,15,19,18,17,16,17,18,20,21,24,24,26,27,29,31,32,33,33,33,35,38,41,45,48,49,53,56,59,61,63,65,68,71,76,80,86,90,94,100,109,115,119,125,132,136,136,135,137,139,138,131,128,130,131,127,123,123,123,122,120,118,115,113,111,110,98,97,96,91,86,81,79,79,78,75,70,68,66,65,63,62,57,55,53,52,51,53,55,56,62,64,67,71,72,68,62,57,57,53,49,46,47,52,58,63,67,69,70,71,70,67,64,62,64,61,66,77,86,91,100,109,109,107,103,96,89,84,81,80,84,83,85,88,89,96,113,129,150,164,171,162,145,123,96,73,61,54,50,53,58,59,60,63,57,57,56,55,53,50,47,46,45,50,57,67,79,94,108,117,120,121,114,101,88,76,63,53,55,59,70,86,102,111,111,108,99,89,77,71,70,68,63,57,58,51,48,53,61,68,74,79,84,85,89,95,98,96,89,82,75,72,67,62,60,64,71,76,84,84,85,86,83,75,66,59,50,46,44,44,44,46,53,62,57,60,62,63,64,70,80,89,99,101,102,98,89,81,76,75,67,66,63,58,51,47,45,45,42,46,49,49,45,41,37,36,36,36,36,36,35,35,35,35,33,29,29,33,36,36,40,46,45,43,40,36,33,31,30,30,33,37,44,52,61,68,74,76,81,81,80,76,68,59,50,44,34,30,25,21,21,21,21,21,22,23,24,28,32,34,33,32,28,26,25,25,28,33,40,44,40,39,36,34,33,37,44,49,58,60,61,60,57,55,57,59,62,59,53,48,44,42,42,42,48,49,48,45,40,36,34,34,39,43,47,48,47,47,50,53,46,43,36,27,24,31,47,59,79,94,98,83,64,51,37,23,31,33,35,36,34,30,26,23,25,30,36,42,47,50,52,54,45,45,43,38,35,35,40,45,48,51,54,56,54,51,46,43,41,40,39,37,34,32,29,28,31,33,35,37,37,33,26,21,24,28,35,44,52,56,57,55,48,44,36,28,23,21,21,22,25,31,35,35,37,40,38,34,28,27,25,26,28,30,30,29,27,25,22,19,17,17,18,19,20,22,25,28,30,30,29,28,27,26,25,23,22,22,22,22,22,22,22,22,23,24,25,26,28,30,33,35,35,33,30,28,32,32,32,31,28,24,20,17,18,18,17,16,14,13,12,12,12,12,11,10,10,9,8,8,10,10,9,8,8,7,6,6,6,6,6,5,5,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 12,12,11,12,13,14,15,16,16,16,16,16,16,17,19,19,24,25,27,30,32,33,34,34,37,37,37,39,42,45,49,51,55,57,59,60,61,64,68,72,74,78,83,89,94,99,105,109,118,119,123,126,128,129,130,130,128,123,117,116,118,118,115,111,110,107,103,99,96,95,95,95,86,83,78,75,74,74,72,70,68,68,68,66,63,59,55,52,51,52,52,50,48,50,55,60,61,65,71,76,77,73,66,61,54,53,51,50,54,61,69,74,83,86,88,85,76,67,61,58,59,60,63,71,80,89,94,96,101,101,99,95,89,84,82,82,85,88,88,85,83,90,104,116,131,143,152,148,132,110,86,69,56,56,56,58,62,64,65,64,63,62,60,58,56,55,54,54,57,60,66,77,90,101,109,113,115,111,104,94,83,71,61,56,51,55,66,82,98,107,108,106,98,88,76,68,66,64,61,58,51,51,51,50,52,57,65,70,78,82,88,92,94,92,89,86,70,66,59,55,54,58,64,68,76,86,96,98,95,86,72,59,49,44,40,44,54,65,71,72,74,71,64,60,60,67,78,86,98,106,110,103,92,83,75,69,65,62,58,55,54,53,52,50,51,51,51,50,48,44,40,37,37,37,36,35,35,35,36,36,33,33,33,34,36,39,41,43,44,42,39,37,35,34,34,34,37,42,48,54,59,63,67,69,69,70,70,67,61,53,45,40,35,33,29,26,23,21,21,20,23,25,28,31,32,32,32,31,28,24,21,22,26,32,37,40,42,38,33,30,32,41,54,63,66,68,66,60,52,45,42,43,47,48,48,45,41,39,42,46,49,53,56,54,49,45,44,45,47,51,55,58,59,59,59,60,52,42,32,25,24,31,48,65,83,90,92,79,57,37,28,27,27,32,38,40,38,33,30,28,30,36,44,50,53,54,55,56,51,47,41,36,35,37,40,43,51,54,57,54,47,40,37,36,32,34,36,36,34,32,31,32,35,37,38,39,37,33,28,25,24,26,31,40,48,50,48,45,38,35,30,25,23,23,25,26,33,34,37,42,44,44,41,37,32,31,28,26,24,23,23,24,22,20,18,16,15,16,17,19,19,21,23,26,28,28,28,28,26,25,24,23,21,20,19,18,19,19,19,19,20,21,22,22,28,29,30,31,31,30,29,28,27,27,28,27,25,21,18,15,15,15,15,14,14,14,13,13,11,11,11,10,10,9,9,9,12,11,10,9,7,6,5,4,7,7,7,6,6,5,5,5,6,6,6,5,5,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 12,12,12,12,13,14,15,16,16,16,16,16,17,18,19,20,25,26,28,31,33,34,35,35,37,37,38,39,42,45,49,51,55,56,58,59,60,63,67,70,72,76,82,87,91,96,102,106,112,114,117,120,122,123,123,123,122,117,111,109,110,110,106,102,102,100,96,92,89,87,86,86,80,77,73,71,70,70,68,67,66,66,65,63,59,55,51,49,46,47,48,47,46,49,55,60,67,71,76,80,80,75,68,63,56,56,56,59,65,75,85,92,101,103,103,97,85,73,64,59,60,60,62,68,76,82,86,87,94,94,93,90,85,82,81,81,86,89,89,85,82,86,96,106,117,128,136,131,118,101,81,66,57,57,58,62,66,69,69,68,69,68,66,64,62,61,60,59,64,66,71,80,91,101,107,109,107,104,97,89,78,68,60,55,52,54,62,76,90,99,101,99,91,81,69,60,57,56,53,51,47,47,46,45,46,50,56,61,72,77,84,90,91,89,84,81,67,63,56,51,49,52,56,59,71,82,92,95,92,84,70,57,48,44,43,49,61,73,81,83,86,80,70,60,56,60,69,76,90,100,105,100,89,79,70,63,60,58,55,54,54,55,55,54,58,57,56,54,50,46,42,40,37,37,36,36,36,36,36,36,34,33,33,33,34,37,39,40,40,39,37,35,34,34,34,35,40,44,49,52,54,55,57,59,57,58,58,56,52,46,40,36,35,33,30,27,25,23,22,22,23,25,27,30,31,31,30,30,27,24,21,21,26,31,36,38,41,38,33,30,32,41,54,63,69,69,66,58,47,38,35,35,39,42,44,42,40,39,42,45,49,53,56,55,50,47,47,48,51,54,58,60,60,60,61,62,53,44,33,27,25,32,50,66,79,85,85,73,51,34,27,28,32,37,43,45,41,35,31,29,30,36,44,50,53,53,53,54,50,46,41,36,35,37,40,43,50,52,53,48,39,33,30,30,32,34,37,38,36,35,34,34,35,37,38,39,36,32,28,25,24,25,29,36,42,44,41,38,32,30,26,24,22,23,24,26,34,36,40,46,50,51,48,45,37,35,32,28,25,23,22,22,20,19,18,16,16,17,18,18,20,22,24,26,26,26,26,25,25,24,23,22,21,20,20,19,19,19,19,19,19,20,21,22,26,27,28,29,29,28,27,26,25,26,26,25,23,20,16,14,15,15,14,14,13,13,13,13,11,11,11,10,10,9,9,9,11,11,10,9,7,6,5,5,7,7,7,6,6,5,5,5,6,6,6,5,5,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 12,12,12,12,13,14,16,16,17,17,17,17,18,19,21,21,26,28,30,32,34,36,36,37,38,38,39,40,42,45,48,50,54,56,58,59,59,61,65,68,71,74,79,84,87,92,97,100,103,104,107,110,112,112,112,112,112,107,102,100,99,98,95,91,91,90,87,84,81,77,75,74,72,69,67,66,66,66,65,64,64,63,61,58,54,50,46,44,44,44,45,46,49,53,60,65,72,75,79,80,78,73,67,62,59,61,65,70,79,91,103,111,120,121,119,112,99,84,71,65,63,62,62,65,70,74,75,75,83,84,85,83,81,79,79,80,87,89,90,86,82,81,87,93,106,115,121,117,108,96,81,69,58,59,62,68,73,76,77,76,79,78,76,74,72,70,68,68,71,72,74,80,88,94,98,100,94,91,87,80,72,65,59,55,52,53,57,66,77,85,89,89,83,74,61,52,48,46,45,43,45,44,43,41,40,43,48,53,65,71,79,86,87,83,77,73,63,59,53,48,45,45,48,50,64,75,86,89,87,80,66,54,45,45,47,56,71,86,95,99,97,88,74,60,52,53,59,65,79,89,96,94,85,75,64,55,53,51,50,51,54,58,59,59,63,61,58,54,49,45,41,40,37,38,38,38,37,36,35,34,33,33,32,31,31,33,34,35,35,34,33,32,32,33,35,36,43,45,48,48,46,44,43,44,42,43,43,43,42,39,37,35,35,34,31,29,26,25,24,23,23,24,26,28,29,29,29,28,26,24,21,22,27,32,37,39,41,38,34,31,34,43,56,65,73,72,66,55,41,30,26,25,30,34,39,40,38,37,40,42,46,49,53,52,50,48,50,52,54,56,59,60,60,60,61,63,53,44,34,28,27,34,50,66,74,77,75,62,43,30,27,30,40,45,51,51,45,38,33,31,31,37,45,50,52,51,49,49,47,43,39,35,34,36,39,41,48,48,46,39,30,24,22,23,32,35,39,41,40,39,38,38,36,37,39,39,37,33,29,26,23,24,26,30,33,33,30,28,24,23,23,23,23,24,25,26,33,35,41,49,55,58,56,54,46,43,38,32,27,23,21,20,18,18,18,19,19,20,20,20,23,24,25,26,25,24,23,22,23,23,22,22,21,21,20,20,19,19,18,18,19,19,20,21,24,24,25,26,26,25,24,24,23,23,23,22,20,17,15,13,14,14,13,13,13,12,12,12,10,10,10,10,9,9,9,9,11,10,10,9,7,6,6,5,7,7,7,6,6,5,5,5,6,6,6,5,5,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 13,12,12,13,13,15,16,17,17,17,17,18,19,21,22,23,28,29,31,34,36,37,38,38,39,39,39,40,42,45,47,49,53,55,58,59,59,60,63,65,69,72,76,79,82,85,90,93,92,94,96,99,100,100,100,100,99,96,92,91,90,89,86,84,83,82,80,78,74,70,67,65,65,64,62,63,65,66,65,64,64,62,59,55,50,47,44,42,45,46,48,51,56,62,68,73,73,75,76,75,71,65,60,58,62,67,74,81,90,102,114,123,132,132,131,124,112,97,83,74,68,66,65,65,66,67,67,66,72,74,76,76,76,76,78,79,85,88,90,88,83,80,81,84,96,104,110,108,102,93,81,69,62,64,68,74,81,85,86,86,89,88,87,84,81,78,76,74,73,73,73,75,79,83,84,85,80,78,75,71,67,62,59,57,53,51,51,55,62,70,74,76,77,68,56,47,42,40,39,38,44,44,43,42,41,42,46,50,60,66,75,81,82,77,70,64,58,55,50,46,44,43,44,45,57,67,78,82,81,74,62,50,42,44,50,62,78,93,104,110,100,91,76,60,49,48,52,58,67,78,87,86,80,71,59,49,46,45,45,48,54,59,62,63,64,61,56,50,45,41,39,38,39,40,40,40,39,37,34,33,31,30,28,27,27,28,29,30,30,29,29,30,31,33,36,37,43,44,45,43,38,34,32,32,32,32,33,34,35,36,37,37,34,33,31,29,27,26,25,24,23,24,26,27,28,27,27,27,24,22,21,24,30,37,42,44,45,42,37,35,37,47,60,70,79,76,68,54,38,26,20,20,26,31,37,39,37,35,36,37,39,42,45,46,44,45,48,52,53,55,56,55,54,53,55,57,50,42,34,29,28,33,48,63,68,69,65,52,37,28,29,34,47,53,59,57,49,40,35,34,33,39,46,50,50,47,44,42,41,38,34,31,30,32,35,38,43,42,39,32,23,19,20,23,33,37,43,46,45,43,41,41,38,39,40,40,38,34,30,28,23,23,23,23,23,22,21,19,19,21,23,26,28,29,30,30,31,34,40,49,57,62,62,61,56,52,46,39,32,26,23,21,19,20,21,23,24,25,25,25,27,27,28,27,26,24,21,20,22,22,21,21,21,21,21,21,19,18,18,18,18,18,19,20,21,21,21,22,22,21,21,21,20,20,20,19,17,15,13,11,13,13,12,12,11,11,11,11,10,9,9,9,9,9,9,9,10,10,9,8,8,7,6,6,7,7,7,6,6,5,5,5,6,6,6,5,5,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 13,13,13,13,14,15,16,17,18,18,18,19,20,22,24,25,29,30,32,34,36,38,39,39,40,39,39,39,41,43,45,47,52,55,57,58,58,58,60,62,65,68,71,73,75,77,81,83,82,83,86,87,88,88,88,87,86,85,83,83,83,83,81,79,77,76,74,72,68,65,61,60,61,60,60,62,65,67,67,66,65,62,58,53,49,46,44,43,47,48,52,57,64,70,75,78,75,75,73,68,62,57,55,55,63,71,82,92,101,111,122,131,139,139,138,133,122,107,91,81,73,70,67,65,65,64,62,60,63,65,68,70,71,72,75,77,81,85,89,88,84,80,79,79,85,93,99,100,96,89,76,64,66,68,72,79,87,92,94,94,97,96,94,91,87,82,78,76,72,70,69,69,71,72,72,71,67,67,65,64,62,61,60,59,53,50,47,46,50,56,61,65,68,62,52,44,38,35,34,34,41,43,45,46,46,47,50,52,61,66,72,77,76,70,62,57,48,47,45,43,41,41,41,42,50,60,69,73,72,67,56,46,38,42,50,62,77,92,103,109,98,90,76,60,48,43,45,48,57,67,76,78,75,68,57,48,43,42,43,47,53,58,62,63,62,58,52,46,42,40,39,39,43,44,45,44,42,38,33,31,26,25,24,23,23,24,26,27,28,28,28,29,31,34,36,38,40,41,41,38,33,29,26,25,24,25,26,28,31,34,36,37,32,32,31,30,29,27,26,25,25,25,26,26,26,26,26,26,22,22,22,27,34,42,48,50,49,46,41,38,41,50,63,73,83,79,69,54,37,25,21,20,28,33,38,39,35,31,30,31,29,32,35,36,36,38,43,48,50,50,49,46,43,42,43,45,43,38,32,29,28,31,44,56,62,61,55,43,32,27,33,39,52,58,63,60,50,41,38,38,38,42,47,49,46,42,38,36,33,31,28,26,25,27,30,33,37,36,33,28,22,21,24,29,37,42,48,51,50,47,44,42,40,40,41,40,38,35,31,29,23,22,21,19,17,16,16,16,20,23,29,33,36,37,36,35,33,35,41,49,57,64,66,67,63,59,52,44,36,30,26,24,21,22,25,27,29,31,31,32,32,33,32,31,29,26,23,21,21,21,21,21,21,21,20,20,19,18,17,17,17,17,18,18,19,19,18,18,18,18,19,19,18,18,17,16,15,13,11,10,11,11,11,11,10,10,9,9,8,9,9,9,9,9,9,9,10,10,9,8,8,7,6,6,7,7,7,6,6,5,5,5,6,6,6,5,5,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 13,13,13,13,14,15,17,17,19,19,19,20,22,24,25,27,29,30,32,34,37,38,39,39,39,39,38,38,39,41,43,44,49,52,54,55,55,54,56,57,59,61,64,65,66,67,70,72,72,73,75,76,77,76,76,75,74,75,75,76,75,75,74,73,69,68,65,63,60,57,56,55,56,56,57,61,65,68,68,67,66,62,57,52,48,46,45,46,49,51,57,64,72,77,79,79,78,76,71,62,54,51,53,57,64,75,90,101,108,115,124,130,137,138,137,134,124,109,92,81,73,70,66,64,62,61,58,56,56,58,61,64,65,67,70,73,78,82,86,87,84,80,77,76,80,87,92,94,93,88,77,66,68,69,72,79,87,94,97,98,101,100,97,93,87,81,76,73,68,66,63,62,63,63,62,60,57,56,56,56,57,58,60,61,54,50,45,41,42,46,52,56,60,56,49,42,37,33,31,31,36,40,47,52,55,56,58,60,66,68,70,70,67,61,55,51,39,39,39,39,39,38,38,37,44,52,59,61,60,57,49,40,34,39,47,58,70,82,91,96,93,87,76,62,49,41,38,38,48,57,65,67,68,65,57,49,43,42,42,45,51,56,58,59,58,53,47,42,39,40,42,44,48,49,50,49,45,39,33,29,22,22,21,21,22,24,26,28,30,30,30,30,32,34,37,38,39,40,40,36,31,26,23,22,19,20,22,25,28,31,33,34,32,32,32,32,31,30,28,27,27,26,26,26,26,26,25,25,22,22,24,29,37,45,51,53,50,47,42,38,40,49,62,71,79,75,65,51,36,26,23,24,31,35,39,37,32,27,25,25,22,25,28,28,29,32,39,45,47,46,43,38,33,31,32,33,37,33,31,30,29,30,39,50,55,53,47,37,28,27,35,43,54,60,64,59,49,41,40,43,44,47,48,47,42,36,32,29,27,26,23,22,22,24,27,29,31,32,31,27,23,24,30,35,42,47,53,56,54,49,44,41,39,39,39,38,36,33,31,29,23,22,20,17,14,14,16,18,24,29,36,43,46,45,42,40,37,37,40,46,54,62,66,68,64,60,54,46,39,34,30,28,24,25,27,29,32,35,37,38,39,39,38,36,34,30,27,25,22,22,21,21,20,20,19,19,18,18,17,16,16,16,16,17,17,17,16,16,16,16,17,17,17,16,15,14,13,12,11,10,10,10,10,9,9,9,8,8,8,8,8,8,9,9,9,9,9,9,9,8,8,7,7,7,7,7,7,6,6,5,5,5,6,6,6,5,5,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 14,13,13,14,14,16,17,18,19,19,20,21,23,25,27,28,28,30,32,34,36,38,38,39,39,38,37,37,37,39,41,42,45,47,50,51,50,49,50,51,52,54,56,56,56,57,59,60,63,64,65,66,67,66,65,64,65,67,68,68,67,65,64,64,58,57,54,51,49,48,48,48,49,50,53,58,63,66,67,66,65,61,56,51,47,46,47,47,55,58,64,73,82,85,84,81,79,76,67,56,46,45,51,58,70,82,97,106,108,108,111,115,121,122,123,123,117,104,88,77,68,65,62,59,58,57,54,52,50,53,56,58,59,61,64,66,76,79,83,84,82,77,73,71,75,80,83,84,86,86,78,69,68,68,69,75,83,91,96,99,102,100,97,92,85,78,71,67,60,57,54,53,54,54,52,51,48,48,49,50,53,56,58,60,55,51,45,39,38,41,46,51,56,55,51,46,40,36,33,32,33,41,52,62,67,70,71,72,71,70,67,64,58,53,48,45,36,37,38,39,39,37,36,35,38,45,49,49,49,47,40,33,31,35,43,51,60,68,75,79,80,78,72,62,51,43,38,36,41,48,54,57,60,62,58,51,46,44,43,45,49,52,54,54,49,45,40,35,34,38,43,46,53,54,54,53,47,40,32,27,20,20,21,22,24,27,30,32,34,33,32,32,33,35,37,38,39,40,40,36,30,25,22,21,19,20,23,26,28,30,31,32,34,35,35,35,35,33,32,31,29,28,27,26,26,26,26,26,24,24,25,30,38,45,49,51,48,44,39,34,36,44,56,65,71,67,58,45,33,25,25,27,32,35,38,35,29,23,22,22,20,22,24,25,25,30,38,44,47,45,40,32,26,23,23,25,32,31,31,33,31,31,37,45,49,46,40,31,25,27,36,44,53,59,62,57,46,40,42,47,50,51,50,45,38,31,27,25,24,23,21,20,20,23,25,27,28,30,30,27,25,27,33,39,47,52,58,60,57,50,43,40,37,36,36,35,32,30,28,26,22,22,20,16,14,15,20,24,29,35,43,50,53,51,46,43,37,35,35,38,46,54,60,63,61,58,52,46,40,35,32,31,25,25,27,29,33,37,41,43,44,44,43,42,39,35,32,29,23,22,22,21,20,19,18,17,18,18,17,16,15,15,16,16,17,16,15,14,14,15,16,17,17,16,15,13,12,11,11,11,9,9,9,9,8,8,7,7,7,7,7,8,8,9,9,9,9,9,8,8,8,8,7,7,7,7,7,6,6,5,5,5,6,6,6,5,5,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 14,14,14,14,15,16,17,18,19,20,20,21,23,25,27,28,28,29,31,34,36,37,38,38,38,37,36,36,36,38,40,41,41,44,47,48,46,45,46,46,46,48,50,50,49,50,51,53,57,58,59,60,60,60,58,57,61,62,63,63,60,58,57,56,51,49,45,42,41,40,41,42,45,46,49,54,60,64,64,64,64,60,55,50,47,46,47,48,61,64,71,81,90,92,89,85,78,74,63,50,40,40,48,57,76,88,101,107,103,98,96,96,101,103,108,111,109,99,85,74,64,61,57,55,54,53,51,49,47,49,52,54,55,57,60,62,75,78,81,81,79,75,70,67,66,69,70,71,75,78,74,67,67,66,67,71,80,88,95,98,101,100,97,91,83,75,67,63,51,49,46,46,46,46,45,43,43,43,44,46,49,53,57,59,55,51,45,39,36,38,44,48,57,57,55,51,45,40,37,36,34,44,58,71,78,81,82,82,74,71,65,59,52,47,43,41,39,40,41,42,41,39,36,35,34,40,43,42,41,40,35,29,29,33,40,46,52,58,63,67,67,68,67,62,54,46,41,39,37,43,48,51,55,59,57,52,48,46,45,45,47,50,51,50,42,38,32,29,29,34,41,45,56,57,57,55,49,40,31,26,20,20,21,23,26,30,33,35,36,35,34,33,34,35,37,38,41,42,41,37,31,25,21,20,21,23,26,29,31,32,32,32,36,37,38,38,38,36,35,33,30,29,28,27,26,26,26,26,26,25,26,30,37,43,47,48,45,41,35,31,31,39,51,60,64,61,52,41,30,24,26,29,32,34,36,32,26,21,20,21,20,22,24,24,25,30,38,45,49,46,39,31,23,20,20,21,30,30,32,35,33,31,36,43,44,42,35,28,23,26,35,44,52,57,60,54,44,39,43,49,54,53,50,44,35,28,24,22,23,22,21,20,21,23,25,27,27,29,30,28,26,28,34,39,50,55,61,63,58,50,43,38,34,34,33,32,29,27,25,24,22,22,20,17,14,16,23,28,32,38,47,55,57,54,48,44,34,31,29,30,37,45,52,56,58,55,50,44,39,35,33,32,25,25,26,28,32,37,42,45,47,47,47,45,42,38,35,33,24,23,22,21,19,18,17,16,18,17,16,15,15,15,15,15,16,16,14,13,13,14,16,16,16,16,14,13,12,11,11,11,9,9,8,8,8,7,7,7,7,7,7,8,8,9,9,9,9,9,8,8,8,8,7,7,7,7,7,6,6,5,5,5,6,6,6,5,5,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 17,16,16,16,16,17,18,19,21,21,23,24,26,27,29,29,30,31,32,33,35,36,37,38,37,37,37,37,37,38,38,38,40,40,40,40,41,41,41,41,43,43,43,43,43,44,44,44,45,46,47,48,50,51,52,52,54,54,54,53,52,49,47,45,42,40,36,33,33,34,37,40,41,44,48,53,57,60,62,63,61,58,54,51,50,51,54,56,62,68,77,85,90,91,89,88,80,67,52,41,35,36,47,60,80,90,102,104,97,86,78,74,82,88,97,101,97,86,73,64,54,54,55,56,55,52,47,43,42,44,47,49,50,52,55,58,64,67,72,77,78,73,66,60,62,62,64,70,75,75,71,66,59,59,60,66,75,85,93,97,97,96,93,86,76,67,60,57,51,48,45,43,42,41,39,38,39,39,40,42,46,51,56,58,58,53,47,41,38,39,41,44,49,53,56,54,49,43,40,39,38,44,57,74,88,94,92,88,77,69,59,50,44,42,40,39,41,42,44,43,40,38,38,39,32,34,36,36,33,31,30,30,31,33,35,39,43,46,49,50,54,57,60,60,57,50,43,38,32,35,40,45,50,54,56,57,50,48,47,47,47,47,46,44,37,35,31,30,31,36,42,46,57,58,58,55,49,41,33,28,22,22,22,23,26,30,35,37,43,41,38,37,38,38,37,35,42,40,38,34,30,27,25,23,23,25,27,28,28,28,29,30,34,37,40,43,44,42,39,37,35,32,28,26,26,26,26,26,24,25,26,29,32,36,39,41,36,32,26,22,24,31,40,46,51,47,41,34,28,26,28,30,35,35,35,32,28,25,25,25,29,29,28,26,27,32,39,44,55,53,46,36,27,22,24,27,32,34,37,37,35,34,34,34,34,34,32,27,24,28,38,46,56,56,52,45,38,38,44,50,53,52,48,41,34,28,26,25,25,26,25,24,21,21,22,24,24,26,27,25,25,28,36,42,52,57,62,63,57,48,39,33,27,26,25,26,28,29,28,26,21,21,20,17,15,18,24,30,38,47,55,59,60,60,53,46,34,30,27,26,29,34,38,41,43,44,43,39,35,32,31,32,26,25,24,24,26,30,35,37,43,46,49,50,49,45,40,37,33,31,27,22,19,17,17,17,17,18,19,19,20,19,19,19,17,16,16,15,15,16,16,17,15,15,14,13,13,12,11,11,9,9,9,8,8,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,6,6,6,6,6,6,6,6,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 17,17,16,16,17,17,18,19,21,21,23,24,26,27,29,29,31,31,32,33,35,36,37,38,37,37,37,36,36,36,36,36,37,37,37,37,38,38,38,39,40,40,40,40,41,41,41,41,42,42,43,45,46,47,48,49,46,47,46,46,44,42,39,38,38,36,35,34,34,36,39,40,43,45,47,51,53,55,56,57,56,54,51,49,49,51,54,56,66,71,79,86,91,93,91,90,79,67,52,41,35,37,48,60,79,88,98,99,90,78,68,65,66,72,80,84,80,70,58,51,49,50,53,55,55,52,46,42,40,43,48,51,52,53,55,57,61,64,68,73,74,70,62,56,55,55,57,62,67,69,66,62,59,57,58,63,72,82,90,94,95,94,89,81,72,64,60,58,54,53,50,47,44,40,37,34,35,36,38,41,45,49,53,55,57,53,48,43,40,39,40,41,47,52,56,57,53,48,45,43,43,49,61,77,90,97,95,91,74,66,55,45,41,40,41,42,44,45,46,44,41,39,39,40,35,36,37,36,33,30,30,31,32,34,36,38,41,43,44,45,52,54,57,58,55,50,43,39,33,35,39,43,47,52,55,56,57,55,52,48,46,43,40,38,35,33,31,30,32,37,42,45,54,55,54,52,46,39,32,28,21,21,22,24,27,31,35,37,40,38,36,36,38,39,39,38,42,40,37,33,29,26,24,22,22,25,27,28,27,28,29,31,35,38,43,46,47,46,43,41,37,33,29,26,25,25,24,23,23,24,24,26,28,30,33,34,31,28,23,20,22,28,35,40,44,41,36,29,24,23,26,29,34,35,35,34,32,31,32,34,38,37,35,32,32,36,43,48,55,54,50,41,32,28,28,31,36,38,40,39,37,35,34,35,33,34,32,28,25,29,38,47,53,52,48,42,36,35,41,47,51,49,44,37,31,27,27,28,31,31,29,26,23,21,22,23,24,25,26,25,24,28,35,41,50,55,60,60,54,44,35,30,24,23,23,26,29,30,29,28,24,23,21,17,15,18,24,29,37,46,54,57,59,58,52,45,35,31,26,24,25,29,32,33,37,38,39,37,34,31,30,31,26,25,23,23,24,27,30,32,37,39,43,45,45,43,39,37,33,31,27,22,19,18,18,18,18,19,20,21,21,21,21,20,18,18,16,16,15,15,15,16,15,15,14,13,12,12,11,11,9,9,9,8,8,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,6,6,6,6,6,6,6,6,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 17,17,16,16,17,18,19,19,21,21,23,24,26,27,29,29,32,32,33,34,35,36,37,37,37,36,36,35,35,34,34,33,33,33,34,34,35,35,35,36,37,37,37,37,37,37,37,37,37,37,38,39,40,41,42,42,40,40,39,38,37,35,33,32,32,33,34,36,38,39,41,42,45,45,46,46,47,47,47,47,47,47,47,47,49,51,54,56,67,70,76,83,87,89,89,88,78,66,52,42,36,38,48,60,76,84,92,90,80,67,57,54,58,63,70,72,67,58,49,44,42,46,52,56,57,53,47,43,39,44,50,54,55,55,55,55,58,61,66,70,72,68,61,55,49,48,49,54,60,62,60,57,56,55,55,60,70,81,89,94,94,91,84,75,66,61,60,61,61,61,59,55,49,41,35,31,30,32,36,40,44,47,50,51,55,53,49,45,42,39,38,37,44,49,55,58,57,54,51,49,48,53,63,76,89,95,93,90,71,61,48,39,35,38,42,45,50,50,49,46,43,40,41,42,39,39,39,36,32,30,30,31,35,36,37,39,41,42,42,42,50,51,54,54,52,47,42,39,35,35,37,39,43,49,53,56,62,59,55,49,44,39,36,35,33,32,31,32,34,37,41,44,49,49,48,46,41,35,30,27,21,22,23,25,28,31,33,35,34,33,32,34,37,40,41,40,42,40,36,31,26,23,21,21,22,24,26,27,26,27,29,31,36,40,45,50,52,51,49,47,40,36,30,26,24,23,22,20,22,22,21,21,22,24,26,27,26,24,21,20,22,26,30,34,37,35,31,26,22,23,27,31,35,36,38,38,39,42,46,49,51,48,43,39,36,39,45,50,56,57,55,49,41,36,35,36,42,43,44,42,39,36,35,35,33,33,32,29,27,31,40,47,48,47,43,37,32,32,38,43,46,43,38,31,26,26,29,33,40,39,36,31,25,22,21,22,23,24,25,23,23,26,33,40,48,52,56,56,49,40,31,27,20,21,23,27,32,34,34,32,28,26,22,18,16,18,24,28,35,44,52,55,57,57,51,44,37,32,25,21,20,22,24,24,28,31,33,34,32,31,31,31,27,26,24,23,22,23,24,25,29,32,36,40,41,41,39,37,33,30,27,23,20,19,19,19,20,21,22,23,23,23,23,23,20,19,18,16,15,14,14,14,15,14,14,13,12,11,11,11,9,9,9,8,8,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,6,6,6,6,6,6,6,6,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 18,17,17,17,17,18,19,20,21,21,23,24,26,27,29,29,32,32,33,33,34,35,35,35,36,35,35,34,33,32,31,30,30,31,31,32,33,33,34,34,35,35,35,35,34,34,34,34,31,32,32,33,34,35,36,36,37,37,36,35,34,33,32,32,30,32,36,40,43,44,45,45,46,45,43,40,39,38,37,37,39,40,43,46,49,52,54,56,62,64,68,72,75,78,80,80,73,62,50,42,37,37,47,58,71,78,83,81,70,59,52,49,58,63,67,66,59,50,44,41,39,46,55,61,61,56,50,46,42,48,56,60,61,59,56,55,56,60,66,72,74,71,64,58,47,46,45,49,55,58,58,56,53,52,54,60,71,83,93,97,96,90,81,70,62,60,63,67,69,70,70,65,56,46,37,32,30,32,37,41,45,47,48,48,52,51,50,47,44,39,36,33,37,43,50,56,59,58,55,53,48,51,59,70,81,86,86,83,66,56,42,33,31,37,44,48,54,53,51,47,43,41,42,43,43,43,41,37,32,30,31,33,37,39,41,44,46,47,47,47,51,51,51,50,48,44,41,39,37,36,35,36,40,46,53,57,61,59,55,48,42,37,35,35,32,32,33,35,37,39,41,42,44,43,42,39,36,32,29,27,24,25,25,27,28,29,29,30,28,27,27,31,35,40,41,42,41,38,32,27,22,20,19,18,21,23,24,25,25,26,29,31,38,42,48,54,56,56,53,51,43,39,32,27,24,22,20,18,21,20,19,19,20,22,24,26,26,26,25,25,26,28,30,32,34,32,29,26,24,26,31,35,37,39,42,45,49,54,60,65,64,59,52,43,38,38,43,47,56,59,60,57,50,44,41,41,46,47,47,44,40,37,36,36,33,33,32,30,30,34,40,46,45,43,38,33,29,30,36,40,42,38,32,25,23,26,33,39,49,47,42,35,27,22,21,21,22,24,24,22,22,25,32,38,47,50,53,52,46,37,29,25,20,22,26,32,37,40,40,39,33,29,24,19,17,19,24,28,34,43,50,54,56,56,51,44,37,32,25,19,18,19,19,20,21,25,29,32,33,33,34,35,31,30,28,26,24,23,22,21,24,27,30,34,36,37,37,37,32,29,26,22,20,19,20,20,21,22,23,25,25,25,25,25,22,21,19,17,15,14,13,13,14,14,13,13,12,11,10,10,9,9,9,8,8,7,7,7,7,7,7,7,7,7,7,7,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 18,18,17,17,18,18,19,20,21,21,23,24,26,27,29,29,32,32,32,32,33,33,33,33,34,33,32,31,30,29,29,28,29,29,30,31,32,33,34,34,35,34,34,34,33,33,32,32,28,28,28,29,30,31,31,31,35,35,34,34,34,34,34,34,33,36,40,45,47,48,47,46,45,42,38,34,31,30,30,30,34,36,41,46,50,53,54,55,56,56,58,60,62,66,69,71,67,58,49,43,38,38,45,54,64,69,73,70,62,54,51,52,58,61,63,58,49,41,37,37,42,50,62,68,67,62,56,52,50,56,63,67,66,62,57,54,52,58,66,75,79,77,69,63,49,46,43,45,50,54,54,53,50,51,55,63,76,89,98,103,97,90,78,66,59,59,65,70,75,78,79,74,64,52,43,38,34,37,41,44,47,47,46,45,47,48,49,47,44,39,34,30,31,35,43,50,56,57,55,53,48,49,54,63,72,77,77,74,60,51,39,30,30,37,45,50,55,54,50,45,41,40,41,43,45,45,42,38,34,32,32,34,39,41,46,50,54,57,58,58,56,54,50,46,43,42,41,41,41,39,36,36,39,45,52,56,59,58,54,46,38,33,32,33,33,35,37,40,42,42,42,41,40,38,36,33,31,29,28,28,29,29,30,30,29,28,26,25,23,23,24,28,34,39,41,42,39,35,29,23,18,17,17,18,21,23,24,24,25,26,30,33,40,45,51,57,60,58,55,52,45,40,34,29,25,23,21,19,21,20,19,20,22,25,29,31,32,32,33,34,34,35,35,35,34,32,29,26,24,26,32,36,39,42,47,52,57,64,71,76,76,69,59,47,39,37,41,45,55,60,63,61,55,49,45,44,47,47,46,43,39,36,36,37,34,33,32,32,32,36,40,44,42,40,35,30,28,30,35,39,38,34,28,22,21,27,37,44,56,53,46,37,28,23,21,21,22,24,24,22,21,24,31,37,47,49,51,50,43,35,29,26,23,25,31,38,45,48,47,45,37,32,25,20,18,21,25,28,35,43,50,53,56,56,52,46,38,32,25,20,18,19,19,19,18,22,27,31,34,36,39,41,39,38,37,34,31,28,26,24,23,24,26,28,30,31,31,31,30,28,24,21,19,19,20,21,21,22,23,25,26,26,26,26,23,22,20,17,15,14,13,13,14,14,13,12,11,11,10,10,9,9,9,8,8,7,7,7,7,7,7,7,7,7,7,7,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 18,18,18,18,18,19,20,20,21,21,23,24,26,27,29,29,31,31,31,31,31,30,30,30,31,30,30,29,29,28,28,27,28,28,29,30,31,32,33,34,34,34,33,33,32,31,31,30,26,27,27,27,28,28,29,29,33,33,33,33,34,35,37,38,39,41,45,48,49,48,47,45,41,38,33,29,26,25,26,27,32,36,42,48,52,54,54,54,52,50,49,49,52,56,60,63,62,56,50,46,42,40,44,51,56,59,61,58,51,48,51,55,60,63,62,56,45,38,37,39,49,58,70,75,73,67,61,57,59,64,70,72,69,62,56,52,48,56,69,81,88,86,78,71,54,49,44,43,46,49,50,49,49,52,58,68,81,93,102,105,95,87,74,61,53,55,62,69,76,80,83,79,70,58,50,47,42,43,46,47,47,46,44,43,43,44,46,46,43,38,32,29,27,30,35,43,50,53,53,51,48,48,50,57,65,69,69,67,56,48,38,32,33,39,46,50,54,52,47,42,37,37,40,43,46,46,44,41,37,34,34,35,39,42,49,55,61,65,67,68,60,55,48,42,40,41,45,47,49,46,41,39,39,43,49,52,58,56,52,43,33,27,27,28,36,39,43,47,47,46,43,40,37,35,32,29,28,28,30,31,33,34,35,35,34,31,27,25,23,23,24,28,34,39,41,42,38,34,27,21,17,17,18,20,24,25,27,27,27,29,33,37,45,50,56,62,63,60,56,53,45,41,35,30,28,26,24,22,24,23,22,22,25,29,34,37,39,40,41,42,42,41,41,40,36,34,31,26,24,25,30,34,39,44,50,57,63,69,75,79,80,73,60,47,38,36,40,44,54,59,63,62,56,49,45,44,44,44,43,40,37,35,36,37,35,35,34,33,34,37,40,41,40,37,32,28,27,30,34,37,36,32,26,21,21,29,40,49,58,55,48,38,28,23,21,21,23,24,25,23,21,24,31,37,45,48,49,47,41,35,30,27,27,31,37,45,51,54,52,49,40,34,25,20,20,23,27,29,37,44,51,54,57,58,55,49,39,34,26,21,19,19,19,19,18,22,26,31,34,39,44,48,49,49,48,46,43,39,36,34,27,27,27,26,26,26,25,25,27,25,22,20,18,18,19,20,20,21,22,24,25,26,26,26,23,22,20,18,16,15,14,14,13,13,13,12,11,10,10,9,9,9,9,8,8,7,7,7,7,7,7,7,7,7,7,7,5,5,5,5,5,5,5,5,6,6,6,6,6,6,6,6,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 19,18,18,18,18,19,20,21,21,21,23,24,26,27,29,29,30,30,30,29,29,28,28,27,28,28,28,28,28,27,27,27,26,27,27,29,30,31,32,33,33,32,32,31,30,29,29,28,27,27,27,27,28,28,28,28,33,33,33,35,37,40,42,44,44,45,47,49,48,46,44,42,38,34,29,25,23,23,25,27,33,37,44,50,54,55,54,52,47,44,41,40,41,46,52,56,59,55,53,51,48,43,45,49,48,50,49,45,40,41,48,55,60,63,62,54,44,39,41,46,55,65,76,81,77,69,64,61,66,70,74,74,68,60,53,49,49,59,76,92,101,100,91,83,62,56,48,45,47,49,50,49,51,54,61,73,85,95,101,103,91,82,68,54,46,48,56,63,73,79,83,81,72,62,57,55,49,49,49,48,47,44,42,40,39,41,43,43,41,37,32,28,25,26,30,37,45,50,50,49,47,46,46,51,57,62,62,61,53,47,39,35,37,41,46,49,50,48,43,37,34,34,38,41,44,45,45,43,39,36,35,35,38,42,49,57,64,69,71,72,62,56,46,39,38,43,51,57,59,55,49,43,40,41,43,45,51,50,47,38,29,24,26,29,40,44,49,52,52,49,44,40,36,34,30,27,27,29,32,34,37,38,40,41,40,37,34,31,26,26,27,30,36,41,43,43,40,35,28,22,19,19,22,25,29,30,31,31,32,34,39,42,52,56,62,67,67,63,57,53,45,41,35,32,30,29,27,26,28,26,25,25,27,32,37,40,45,45,46,46,46,45,45,44,43,41,36,30,26,26,30,33,37,43,51,58,64,68,73,76,73,66,53,40,32,32,37,42,52,57,61,60,54,47,43,42,39,39,38,36,34,34,35,37,37,36,35,35,36,38,39,39,38,33,28,25,25,29,33,35,36,32,26,22,23,31,43,52,59,55,47,37,28,22,21,22,24,25,25,23,22,24,31,37,43,45,46,44,39,33,30,28,31,35,41,49,55,56,53,50,42,35,25,20,21,25,29,31,39,46,53,56,59,60,57,52,42,36,27,21,18,18,17,17,19,21,25,29,34,40,47,52,58,59,59,58,56,52,48,45,40,38,35,32,29,27,26,25,25,23,20,18,17,17,18,19,18,19,20,22,23,24,24,24,22,21,20,18,16,15,15,15,13,13,12,12,11,10,9,9,9,9,9,8,8,7,7,7,7,7,7,7,7,7,7,7,5,5,5,5,5,5,5,5,6,6,6,6,6,6,6,6,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 19,18,18,18,18,19,20,21,21,21,23,24,26,27,29,29,30,29,29,28,27,27,26,26,26,26,26,27,27,27,27,27,24,25,26,27,29,30,31,31,31,31,30,29,28,27,27,26,27,27,28,28,28,28,29,29,35,35,36,38,41,44,48,50,47,48,48,48,47,44,41,39,35,32,27,23,21,23,26,28,34,38,45,52,56,55,53,51,42,39,35,33,34,39,46,50,58,56,55,55,52,46,46,50,43,44,41,36,32,35,44,53,55,58,57,50,41,37,41,47,60,69,80,83,78,70,65,63,70,73,76,74,67,58,50,46,53,64,84,102,113,111,102,94,70,63,54,50,50,52,53,52,52,56,64,75,87,95,99,100,86,77,63,49,41,43,51,58,70,76,81,80,72,64,60,59,53,53,51,49,45,42,40,38,37,39,41,41,40,36,31,29,25,25,28,34,42,48,49,48,44,42,42,45,51,56,56,55,51,46,41,38,39,43,47,48,48,45,40,35,31,32,36,40,43,45,46,45,41,38,36,36,37,41,49,57,64,69,71,72,62,55,44,37,38,46,56,64,67,62,54,46,41,38,38,39,42,43,41,35,28,25,29,33,43,47,52,56,55,51,44,40,36,33,29,26,26,29,33,36,38,40,43,46,46,43,40,37,29,29,30,33,38,42,44,45,41,36,29,23,20,22,25,28,33,34,35,35,36,38,43,47,57,61,66,70,69,65,58,54,44,41,36,32,31,31,30,29,31,29,27,27,29,33,37,41,47,47,48,48,47,47,46,45,50,47,42,35,30,29,32,35,35,41,50,58,63,67,70,72,64,56,44,32,25,27,33,39,51,56,60,59,52,46,42,41,35,35,35,34,32,33,35,37,39,37,36,36,37,38,38,37,36,31,26,23,24,27,31,33,36,32,27,23,25,33,45,54,58,54,46,36,27,22,21,22,25,26,26,24,22,25,31,37,41,42,43,42,37,32,29,28,33,37,43,51,57,57,53,49,43,35,25,20,22,26,30,32,40,48,54,57,60,62,59,54,44,37,28,21,17,16,15,14,19,21,24,27,32,40,48,54,64,65,66,66,64,60,55,53,52,49,45,39,35,31,29,29,24,22,19,17,16,16,18,19,16,17,19,21,22,23,23,23,22,21,19,18,17,16,16,16,13,13,12,11,11,10,9,9,9,9,9,8,8,7,7,7,7,7,7,7,7,7,7,7,5,5,5,5,5,5,5,5,6,6,6,6,6,6,6,6,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 19,18,18,18,18,19,20,21,21,21,22,23,24,24,25,26,26,26,25,25,24,23,22,22,24,24,25,25,25,26,26,26,26,27,28,30,30,29,28,28,30,29,28,27,27,27,27,27,26,28,30,31,30,31,33,35,35,35,36,37,39,42,44,45,50,50,50,49,46,42,38,36,31,30,28,27,27,30,33,35,42,44,48,52,56,56,53,50,42,38,33,30,31,36,42,47,55,57,59,61,60,57,53,50,45,42,37,34,34,37,42,46,52,52,51,45,39,38,43,49,65,71,77,77,72,66,64,65,64,67,73,72,60,47,42,45,54,72,98,119,133,134,120,105,87,72,57,53,55,55,55,56,62,64,69,78,88,92,91,88,74,65,52,41,37,39,45,49,61,64,68,70,68,65,62,61,54,50,46,42,41,39,37,35,38,39,41,41,39,35,31,28,26,27,31,36,40,42,42,41,36,36,36,38,42,46,51,54,49,50,49,47,44,42,43,44,43,40,35,30,26,27,32,36,39,41,44,45,44,41,37,34,34,36,42,53,64,72,74,73,62,53,42,36,41,54,67,76,74,71,63,50,37,31,33,37,36,36,35,31,27,27,31,35,47,49,51,53,51,48,43,40,34,31,28,25,25,27,30,32,39,42,47,51,52,50,47,44,40,37,35,36,40,42,42,40,34,31,27,25,25,28,32,35,36,37,37,35,35,38,44,50,58,61,66,69,68,62,55,51,45,41,38,35,35,35,33,32,35,32,29,27,29,33,38,41,42,42,41,40,41,45,50,55,58,57,53,47,40,36,34,35,40,44,50,56,60,60,59,57,51,44,33,25,23,28,36,42,50,55,55,48,44,43,38,30,32,31,29,28,29,32,35,37,37,37,37,36,36,36,36,35,31,27,22,20,24,32,38,42,42,39,34,31,33,37,44,48,52,47,39,32,27,26,27,29,33,30,27,25,25,28,31,34,37,41,44,40,33,28,28,30,36,41,48,53,54,51,46,42,33,30,25,21,22,26,32,36,40,48,56,60,63,65,61,55,45,38,29,22,18,18,18,18,20,21,22,27,33,41,48,53,61,63,65,68,68,66,63,62,59,58,54,50,45,39,35,33,31,27,22,18,16,16,14,13,13,13,14,15,17,20,22,23,20,19,18,17,15,14,13,13,14,13,12,10,9,8,8,8,8,8,8,8,8,8,8,8,6,6,6,6,6,6,6,6,6,6,6,5,5,4,4,4,5,5,5,5,5,5,5,5,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 19,18,18,18,18,19,20,21,20,21,21,22,23,24,25,25,26,25,25,24,23,22,22,22,23,24,24,24,25,25,25,26,25,26,27,29,29,29,28,27,28,27,27,26,26,27,27,28,29,31,33,34,33,33,34,36,35,35,36,37,39,41,43,44,47,48,48,47,44,41,37,35,33,32,31,31,32,35,38,41,47,48,50,53,56,55,51,48,38,35,30,27,28,33,39,44,56,59,63,66,66,63,59,57,48,45,40,36,35,36,40,43,47,48,46,41,37,38,44,50,65,70,75,75,69,63,60,61,59,61,65,64,54,44,42,47,62,82,109,131,144,143,128,112,88,73,58,53,54,55,56,57,60,62,68,76,84,86,83,78,64,56,46,39,37,40,45,48,54,56,59,61,61,61,60,60,55,50,44,40,38,38,38,37,41,42,42,41,39,37,35,34,35,36,38,40,41,40,37,35,33,34,34,37,40,45,49,52,50,50,50,47,44,42,43,44,43,41,37,32,28,27,30,33,38,41,45,47,47,43,39,36,33,35,40,51,63,71,73,72,60,52,43,40,46,58,71,79,82,78,69,53,38,30,29,31,30,31,31,30,29,31,36,41,46,47,47,48,47,44,42,40,34,32,28,25,24,26,28,30,37,40,45,49,50,50,47,46,42,40,37,38,40,42,41,39,33,32,30,29,30,32,35,37,37,38,37,36,36,40,46,52,58,61,65,67,65,60,53,48,42,39,36,35,35,36,35,34,36,34,31,29,29,31,35,37,38,37,36,34,36,41,50,56,66,66,63,58,51,45,41,40,41,44,49,53,55,54,52,50,40,35,27,22,22,29,38,44,51,55,53,46,41,39,34,27,27,26,24,24,25,28,31,33,35,35,35,35,35,35,35,35,30,26,21,21,27,35,43,48,50,46,40,35,34,36,40,43,47,43,37,31,28,28,31,33,35,32,28,25,24,26,29,31,34,37,39,36,31,27,28,30,36,40,46,50,51,47,42,39,30,27,24,22,22,26,30,34,39,47,56,60,63,65,62,56,46,40,31,24,20,19,19,19,19,20,23,27,32,39,44,48,55,56,59,61,63,62,62,61,60,60,58,56,52,47,43,40,34,30,24,20,18,17,15,13,11,12,12,13,15,17,19,20,19,19,18,17,15,14,13,13,14,13,11,9,8,7,7,7,8,8,8,8,8,8,8,8,6,6,6,6,6,6,6,6,6,6,6,5,5,5,4,4,5,5,5,5,5,5,5,5,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 18,18,18,18,18,19,20,20,20,21,21,22,23,23,24,24,25,25,24,23,22,22,21,21,22,22,23,23,24,24,24,24,24,25,26,27,27,27,26,26,26,25,25,26,26,28,29,30,35,36,38,38,36,35,36,37,35,35,35,36,38,39,41,42,44,44,44,44,42,40,37,36,35,35,36,37,40,43,46,48,53,53,53,53,53,51,47,43,35,32,28,26,28,32,38,42,55,59,65,69,71,69,65,63,54,50,44,39,36,36,37,38,41,41,40,37,35,39,46,53,64,68,72,70,64,58,54,53,52,52,53,52,45,40,43,50,69,91,119,142,152,148,131,113,88,73,58,53,53,53,55,58,60,62,68,75,80,79,72,66,50,45,40,38,40,44,48,50,48,48,50,52,55,57,59,61,56,50,42,37,37,39,42,43,49,47,44,42,40,40,40,40,42,43,44,45,43,39,35,32,30,31,32,34,38,42,46,49,51,51,50,47,44,43,44,46,45,44,42,37,32,29,29,30,36,40,46,50,51,47,42,39,32,33,39,49,61,69,71,71,58,51,44,43,50,63,76,83,88,83,72,57,41,31,29,30,27,28,28,28,29,33,38,42,43,42,40,39,39,39,40,40,35,33,29,25,24,24,26,27,34,36,40,44,47,47,47,46,45,42,40,39,40,40,39,38,32,33,34,35,37,38,40,40,38,38,37,36,37,42,49,54,59,61,63,64,61,55,48,44,38,36,35,35,37,38,38,38,40,38,35,32,30,30,30,30,31,30,27,26,30,39,51,59,75,77,77,74,66,57,50,47,45,46,49,50,49,46,42,40,29,25,22,21,24,32,41,47,52,53,50,42,36,33,28,22,23,22,21,21,22,25,28,30,33,33,33,33,33,34,34,34,28,25,22,24,31,42,51,56,56,52,46,40,36,36,38,39,40,37,34,31,31,33,36,39,38,34,29,25,23,24,27,29,31,33,34,32,28,27,29,33,37,40,44,46,45,42,37,34,26,25,24,23,24,26,29,31,38,46,54,59,63,66,63,58,48,42,33,26,23,22,21,21,19,21,24,27,32,36,39,40,45,46,48,50,52,54,56,56,56,57,58,58,57,53,49,47,38,34,28,24,21,18,15,13,10,10,10,11,12,14,16,17,18,18,17,16,15,14,13,13,13,12,10,9,8,7,7,7,8,8,8,8,8,8,8,8,6,6,6,6,6,6,6,6,6,6,6,6,5,5,5,4,5,5,5,5,5,5,5,5,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 18,18,17,17,18,18,19,20,20,20,21,21,22,22,23,23,24,23,23,22,21,20,20,20,21,21,21,22,22,22,23,23,23,23,24,24,25,25,25,25,24,25,25,26,28,30,31,33,38,40,42,41,39,37,36,37,34,34,34,34,35,37,38,39,40,41,41,41,41,40,38,37,38,39,41,44,47,50,53,55,56,54,52,51,49,46,41,38,34,32,30,29,31,35,40,44,51,56,63,69,71,70,66,64,58,55,49,43,39,36,35,36,36,36,35,34,35,41,50,57,64,66,68,65,59,52,47,45,45,43,42,41,38,38,45,54,74,95,123,143,150,142,123,105,83,69,56,51,50,50,53,56,61,63,67,73,76,72,62,54,40,38,37,41,47,52,54,54,48,46,45,46,51,56,60,62,56,50,42,38,40,46,52,56,61,57,50,43,40,39,41,43,43,45,47,46,43,38,35,33,28,28,30,32,36,40,43,45,51,51,49,47,44,44,46,49,50,51,50,46,40,34,30,29,34,39,46,52,53,51,45,42,33,34,39,49,61,69,72,72,58,51,43,41,48,63,77,86,86,81,71,58,45,37,34,35,30,29,28,27,27,30,34,37,37,35,32,31,31,34,38,40,38,35,31,27,25,24,25,25,29,31,34,37,40,42,44,44,44,43,41,40,39,39,38,38,33,35,39,41,43,43,42,42,38,37,35,36,38,44,51,55,60,60,60,58,54,49,43,40,36,35,35,37,41,43,44,44,43,42,39,36,32,29,26,25,24,22,20,20,27,40,55,66,82,86,89,86,78,67,58,52,50,50,50,48,45,40,36,33,24,23,23,25,31,39,47,52,53,51,46,38,32,27,23,20,23,22,21,21,23,25,27,29,30,30,31,31,32,32,33,33,28,26,24,28,37,49,59,65,61,56,49,42,38,36,37,38,33,33,32,32,34,38,42,45,42,38,31,25,23,23,26,28,30,31,32,31,29,30,33,37,39,40,42,42,40,37,33,30,24,24,25,26,27,29,30,31,36,44,52,56,61,64,62,57,48,42,34,28,25,24,23,22,21,23,26,29,31,33,34,34,36,36,36,37,39,41,44,45,45,48,51,54,55,53,50,47,41,37,31,26,23,20,16,13,10,10,10,10,11,13,14,15,18,17,17,16,15,14,13,13,13,12,10,8,7,7,6,6,8,8,8,8,8,8,8,8,7,7,7,7,7,7,7,7,7,7,6,6,6,5,5,5,5,5,5,5,5,5,5,5,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 18,17,17,17,17,18,19,20,20,20,20,20,21,21,21,21,22,22,22,21,20,19,19,18,19,19,20,20,20,21,21,21,21,21,21,21,22,22,23,23,24,24,25,27,29,31,33,35,38,41,42,42,39,36,35,34,32,32,31,32,32,33,34,35,36,37,38,39,39,39,39,39,40,42,45,48,51,54,56,57,55,52,48,45,43,40,36,33,33,32,31,31,33,37,42,44,51,55,61,66,68,67,64,62,59,56,51,46,41,37,35,34,34,33,33,34,38,45,54,60,63,64,63,60,53,46,41,38,40,36,34,35,35,37,47,57,78,98,122,137,140,130,111,95,75,63,52,47,46,46,49,53,57,59,63,68,70,64,53,44,36,36,39,47,56,62,63,60,49,46,42,43,49,56,61,63,58,53,47,46,51,59,67,72,74,67,56,45,39,37,39,41,44,46,47,44,39,34,32,31,28,28,30,32,35,38,40,42,48,48,48,46,45,47,51,54,59,60,60,56,48,40,34,31,32,37,45,52,54,52,47,43,36,37,41,51,62,71,75,75,61,52,41,37,44,58,73,83,82,77,69,58,48,42,39,39,33,31,28,26,26,28,30,32,31,29,27,26,28,33,38,42,42,39,36,32,29,27,27,27,26,26,28,30,33,36,38,40,40,40,40,39,38,39,39,40,38,41,45,48,48,46,43,41,36,35,34,36,41,47,52,55,59,58,56,53,48,43,38,36,35,35,37,41,46,49,50,50,47,46,43,38,34,29,25,23,20,19,18,20,28,43,60,71,86,91,95,93,85,74,63,56,54,53,50,47,43,38,35,32,27,29,31,35,41,47,53,56,53,48,41,35,28,23,20,20,23,22,22,22,23,24,26,27,28,28,29,30,31,32,32,33,29,28,29,35,45,56,65,69,66,60,51,42,36,33,33,33,31,32,33,35,39,44,48,51,46,41,34,27,24,25,28,30,34,34,34,34,34,35,38,41,41,41,41,39,36,33,30,28,23,25,27,29,31,32,33,33,35,43,50,53,56,59,57,52,45,40,33,27,25,24,23,23,23,24,27,29,30,30,29,28,29,28,27,26,26,28,29,31,34,37,42,46,48,48,46,44,41,37,32,28,25,21,17,14,11,11,11,11,12,13,14,14,17,16,16,15,14,14,13,13,13,12,10,9,8,7,7,7,8,8,8,8,8,8,8,8,7,7,7,7,7,7,7,7,7,7,7,6,6,6,5,5,5,5,5,5,5,5,5,5,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 17,17,16,16,17,18,19,19,20,20,20,20,20,20,20,20,21,21,20,20,19,18,17,17,18,18,18,18,19,19,20,20,20,20,19,19,19,20,21,22,23,24,25,26,28,31,33,34,35,37,40,39,36,33,31,31,30,29,29,28,29,29,30,31,32,32,33,35,36,38,39,40,41,43,47,50,53,54,54,54,51,48,43,40,38,36,34,31,31,30,30,31,34,38,42,44,52,55,59,62,63,61,59,57,55,53,49,45,40,37,34,33,32,32,32,35,40,48,55,59,62,61,59,55,50,43,37,33,36,32,30,32,34,37,46,56,78,95,114,124,123,114,99,86,65,56,48,45,44,43,45,50,52,53,57,62,63,57,46,38,36,37,41,52,63,69,68,64,49,45,40,42,49,57,63,65,64,61,58,60,66,75,83,87,84,75,61,47,37,34,35,37,45,46,45,39,31,26,26,27,30,30,32,33,35,37,38,39,44,44,45,45,47,51,57,61,68,69,69,64,55,45,37,34,31,36,43,49,52,50,47,44,38,39,43,52,64,73,77,77,64,55,43,36,40,52,65,74,76,71,64,56,50,45,43,43,38,34,30,27,27,28,29,29,26,26,26,28,32,38,43,46,46,44,41,37,34,32,32,31,26,26,25,25,27,30,33,36,36,37,39,40,40,41,44,47,48,50,53,55,53,49,43,40,34,34,35,39,45,51,55,56,58,56,52,47,42,38,35,33,35,35,38,43,49,53,54,54,51,49,45,40,35,31,27,25,21,20,21,24,32,45,60,70,84,88,92,90,83,72,62,56,51,50,47,44,40,37,35,33,32,35,40,45,51,55,58,59,53,46,38,32,27,21,20,23,24,23,23,22,22,23,23,24,26,27,28,29,30,32,33,33,32,33,35,42,52,61,67,70,68,61,50,39,31,28,28,29,33,34,37,40,45,49,53,55,48,44,36,30,28,29,33,36,39,39,39,39,40,41,42,43,42,40,38,35,32,29,27,26,23,25,27,30,32,33,34,35,35,41,47,49,51,53,50,45,39,35,29,25,23,23,22,22,23,24,25,27,27,26,25,24,24,23,21,19,18,18,19,20,25,28,33,37,40,41,40,39,37,34,30,27,25,22,18,15,13,13,12,12,12,12,13,14,16,15,15,15,14,14,13,13,14,13,12,10,9,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,7,7,7,6,6,6,6,5,5,5,5,5,5,5,5,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 17,17,16,16,17,17,18,19,19,19,19,19,19,19,19,19,20,20,20,19,18,17,17,16,16,17,17,17,18,18,18,19,19,18,17,17,17,19,20,21,22,22,23,24,26,28,30,32,30,33,35,36,33,29,27,27,28,27,26,26,25,26,26,27,26,27,28,30,32,35,37,38,42,44,47,50,52,51,50,49,47,44,39,37,36,35,34,33,31,32,33,35,38,41,45,47,52,53,54,55,54,52,50,48,46,45,43,41,38,35,32,31,30,30,32,36,42,48,53,56,61,59,56,52,47,41,35,31,32,28,27,30,33,37,44,52,67,81,95,100,98,93,83,73,57,51,46,45,44,43,44,48,51,52,55,60,62,57,47,39,37,37,42,53,66,72,69,64,50,45,42,45,54,64,70,72,73,72,71,74,81,88,94,96,87,78,62,47,36,32,33,34,39,40,38,32,24,21,23,27,33,33,34,35,36,37,37,37,39,41,42,44,48,54,62,68,75,75,74,68,58,48,39,35,31,35,41,46,48,48,45,43,40,40,43,52,64,73,78,78,66,58,47,40,41,48,56,61,64,61,57,53,51,51,51,51,50,44,37,31,29,28,26,24,24,26,29,34,40,45,50,53,51,49,46,43,40,38,37,37,30,28,25,23,24,27,30,33,32,35,39,41,43,46,51,56,60,61,63,62,58,51,44,40,34,35,38,44,51,57,58,57,56,53,49,43,38,35,32,31,34,35,38,44,50,54,55,55,53,51,46,41,37,33,30,29,24,25,26,29,35,44,56,63,74,77,79,77,70,60,52,48,45,43,41,38,36,35,34,34,34,38,45,52,57,60,60,60,52,43,35,31,26,21,23,28,28,27,26,26,25,24,24,24,25,26,27,29,31,32,34,34,36,37,42,49,57,64,67,68,61,54,43,33,27,27,30,33,37,39,42,45,49,53,55,57,50,46,39,33,31,34,39,42,44,43,44,44,45,45,44,43,40,38,34,30,27,25,24,23,22,23,26,28,31,33,35,35,35,41,45,45,45,46,43,37,33,29,24,21,21,21,21,20,21,22,22,22,22,21,21,20,20,19,18,17,16,15,15,15,18,20,23,27,30,32,32,32,32,30,28,26,25,23,19,16,13,13,12,11,11,11,12,12,15,15,15,14,14,14,13,13,15,14,13,11,10,9,9,9,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,7,7,7,6,6,6,5,5,5,5,5,5,5,5,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 17,16,16,16,16,17,18,19,19,19,19,19,19,19,19,19,20,20,19,18,17,17,16,16,16,16,16,17,17,17,18,18,18,18,17,16,16,18,19,20,20,20,21,22,24,26,28,29,26,29,32,33,30,27,25,24,26,26,25,24,24,24,24,25,22,23,24,26,29,32,35,37,42,44,47,50,50,49,47,46,45,41,37,35,35,36,36,35,34,35,37,39,42,46,49,51,50,50,49,48,46,43,41,40,40,40,39,37,35,33,31,29,29,29,31,36,42,48,51,53,60,58,55,51,46,40,34,30,29,26,26,30,33,36,42,49,53,65,76,79,77,74,68,62,53,48,45,46,45,43,44,48,53,54,57,62,64,61,52,45,37,37,42,53,65,71,68,62,52,48,45,50,61,72,79,80,80,80,80,84,90,96,99,100,88,78,63,47,36,32,32,33,31,32,31,26,20,20,25,31,35,36,36,37,37,37,36,36,37,38,41,44,49,56,65,72,78,78,76,70,59,48,40,36,31,34,39,44,46,46,44,43,39,39,43,51,63,73,78,78,67,60,51,44,44,46,50,52,53,51,49,50,53,56,59,60,62,54,44,36,30,26,21,18,24,27,32,39,46,52,56,57,53,52,49,46,44,42,41,40,33,30,26,23,23,26,29,32,30,34,40,43,46,50,57,62,68,69,69,66,61,53,45,40,35,36,40,48,56,60,60,59,55,52,46,41,36,33,31,31,33,34,38,44,50,54,55,55,54,52,47,42,37,34,32,32,28,29,31,33,36,43,51,57,63,65,66,63,57,49,42,39,39,37,35,34,33,33,33,34,33,38,46,54,59,61,61,61,52,42,34,31,27,22,25,31,33,32,31,30,29,28,27,26,25,26,27,29,31,33,34,35,38,40,45,53,61,65,67,66,51,45,35,28,26,30,36,41,40,42,45,49,52,55,56,57,51,47,40,35,34,37,43,46,46,46,46,47,48,47,44,42,38,36,31,27,24,22,22,22,21,22,24,26,29,32,34,35,35,40,43,42,42,42,38,33,29,25,21,19,19,20,20,19,20,19,19,19,18,18,18,18,18,18,17,17,16,16,15,15,12,13,16,19,22,24,25,26,29,27,25,25,24,23,20,17,13,12,11,10,10,10,11,11,15,15,14,14,14,14,13,13,16,15,14,12,11,10,10,10,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,7,7,6,6,6,5,5,5,5,5,5,5,5,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 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14,14,15,15,16,17,18,18,18,18,17,17,17,16,16,16,18,18,18,18,17,15,14,13,12,12,13,13,14,14,14,14,13,14,14,15,16,17,17,18,21,20,20,20,20,21,21,22,21,21,21,22,22,23,23,23,24,23,23,22,21,21,20,20,18,19,20,23,27,31,35,38,42,44,48,51,51,50,48,46,44,45,46,48,49,50,51,51,52,50,49,49,50,50,48,47,44,42,39,36,34,33,33,33,35,35,35,33,31,28,25,23,23,25,28,33,38,45,50,53,54,53,50,45,40,35,30,28,25,27,30,33,36,38,39,40,40,42,45,48,50,51,51,51,53,53,53,52,49,45,42,40,47,51,58,66,70,68,63,58,46,43,42,45,51,54,52,49,47,48,53,62,75,87,94,97,96,92,88,88,90,90,85,81,71,62,52,46,45,46,44,41,43,37,33,34,35,35,41,49,53,52,50,47,43,39,38,37,38,40,43,46,50,57,67,74,78,76,71,62,50,39,31,28,29,31,36,40,44,44,42,40,38,39,42,47,53,59,64,67,64,58,50,44,41,40,39,39,35,33,35,43,50,56,64,72,73,68,60,51,43,38,35,34,35,39,44,50,53,55,55,54,48,43,39,39,41,42,38,35,32,30,27,25,25,26,28,30,30,34,40,46,52,59,66,71,76,76,73,68,60,53,47,44,45,48,54,60,64,64,61,59,53,50,44,38,32,28,26,26,25,28,32,36,39,40,41,41,35,32,30,30,33,36,38,38,38,37,35,33,34,36,39,41,40,39,37,33,29,26,23,21,25,26,27,28,28,28,28,27,32,34,38,43,48,49,47,45,42,39,36,34,34,36,39,41,41,41,40,36,31,28,27,28,30,31,33,34,35,35,34,34,39,41,46,53,57,57,54,51,41,36,30,28,31,37,43,46,50,48,47,48,50,51,51,50,43,39,33,31,34,39,44,46,46,45,43,41,39,39,39,39,33,30,26,21,19,17,18,18,18,19,21,24,26,28,30,30,31,31,32,34,35,35,32,29,22,20,17,14,14,15,18,19,19,20,20,19,18,17,16,15,17,18,20,21,22,21,20,19,16,16,16,17,17,18,18,19,20,20,20,19,19,19,19,19,16,15,13,11,10,10,11,11,11,11,12,13,14,15,15,16,14,13,13,13,12,12,11,11,11,11,11,10,10,10,9,9,8,8,8,9,9,10,10,10,8,8,8,7,7,6,6,6,7,6,5,4,4,4,4,5,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 13,13,14,15,16,16,17,17,17,17,17,16,16,16,15,15,16,16,16,16,15,14,13,12,11,11,12,12,12,13,13,13,12,13,13,14,15,16,16,17,19,19,18,17,17,17,18,18,16,17,18,19,20,21,22,23,24,24,23,22,21,20,20,19,17,18,19,22,27,32,36,39,45,46,48,50,50,49,46,45,45,47,50,53,56,58,60,61,58,55,53,52,51,50,48,45,39,36,33,30,29,30,32,33,33,33,34,33,30,26,22,20,21,23,26,31,37,42,47,50,50,49,46,43,38,34,30,27,27,29,33,37,39,40,40,40,36,37,38,40,42,44,46,47,54,54,54,53,50,45,41,39,43,49,58,68,74,74,70,65,52,47,42,41,44,46,46,45,48,52,59,71,85,96,103,106,99,94,87,83,80,76,71,66,56,53,50,51,55,58,58,56,55,50,46,47,48,50,56,63,64,61,56,50,45,42,40,39,38,40,42,45,51,59,68,74,75,72,65,54,43,34,28,27,30,33,37,41,44,44,43,42,39,40,41,44,48,53,57,59,61,57,53,49,46,43,39,36,31,28,30,38,47,54,64,73,78,75,69,62,54,47,42,39,43,45,49,51,52,51,49,47,42,39,36,36,38,39,36,33,31,30,27,26,25,26,28,30,32,36,42,47,53,60,67,71,74,73,70,64,56,49,45,44,51,56,62,67,68,65,60,56,50,47,43,37,32,28,25,24,21,24,28,31,33,33,32,30,26,26,26,30,35,40,42,43,43,40,36,32,31,31,34,35,33,32,30,27,23,20,16,15,21,22,23,24,24,24,24,24,25,26,29,33,38,39,38,36,37,36,36,36,38,41,43,45,45,44,41,36,31,29,29,31,34,35,36,37,37,36,35,34,37,38,42,47,51,51,48,45,37,34,31,32,37,44,50,53,55,52,48,46,46,47,46,46,39,35,31,30,32,37,41,44,41,39,36,34,33,34,35,36,30,28,25,22,20,19,19,19,18,19,20,23,25,27,29,30,28,28,29,31,33,34,32,29,24,21,18,15,14,15,17,18,21,21,22,21,21,19,18,17,19,20,22,23,24,23,22,21,16,17,17,17,17,17,18,18,17,18,18,18,18,18,19,19,17,16,14,12,11,10,10,10,10,10,11,11,12,13,13,14,14,14,14,13,13,13,12,12,11,11,11,11,10,10,10,9,8,8,9,9,9,9,10,10,8,8,8,7,7,6,6,6,7,6,5,4,4,4,4,5,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 12,13,13,14,15,16,16,16,16,16,16,16,15,15,15,14,14,14,14,14,14,13,12,11,10,10,10,11,11,12,12,12,12,12,13,13,14,15,16,16,18,17,16,15,14,14,14,15,14,15,17,19,21,23,24,25,25,25,24,23,22,21,20,19,18,19,20,24,28,33,38,40,47,48,49,49,48,47,45,44,44,47,50,54,57,60,61,62,57,54,51,49,47,45,42,39,33,30,27,24,24,26,30,32,32,33,33,33,30,26,22,20,21,23,26,30,35,40,44,46,46,45,43,40,37,33,30,28,28,31,36,41,44,45,45,44,40,39,37,37,38,41,44,46,54,54,54,53,50,46,41,39,40,46,56,67,75,77,74,71,57,51,44,40,41,43,45,46,50,55,65,78,90,99,104,106,98,91,82,74,67,61,55,51,47,49,54,62,70,75,76,75,71,67,63,63,65,69,74,77,73,67,58,50,45,43,41,41,38,38,40,44,50,58,67,72,72,68,59,47,37,30,28,28,32,36,41,45,46,46,45,45,43,43,43,43,45,47,50,51,56,55,54,53,50,45,38,33,28,25,26,34,44,52,64,74,79,78,75,69,62,54,46,42,46,47,48,49,48,46,43,41,38,36,34,35,36,36,34,32,30,29,27,26,26,27,29,30,33,37,42,47,52,58,64,69,70,69,65,58,49,44,44,45,57,63,70,74,71,65,57,53,47,45,42,38,34,29,25,23,19,21,25,28,29,28,25,23,25,25,28,33,39,43,44,44,47,43,37,32,29,30,33,35,35,34,32,30,26,22,18,16,18,19,20,21,21,21,21,20,20,20,22,25,29,31,30,29,31,32,34,37,40,43,45,46,47,45,40,35,30,29,31,34,38,39,40,40,40,38,35,34,34,35,37,40,43,43,40,38,33,32,33,37,44,51,57,59,58,53,47,42,40,40,40,40,34,31,28,28,31,35,38,40,37,34,31,28,28,29,32,33,31,30,29,27,26,24,24,24,20,20,21,22,24,26,28,29,27,27,28,30,32,33,32,30,26,24,20,17,15,16,17,19,23,23,23,23,23,22,21,20,21,22,24,25,25,25,24,23,19,19,19,19,19,18,18,18,15,16,16,17,17,18,18,19,18,17,15,13,12,10,9,8,9,9,10,10,11,11,11,12,14,14,14,13,13,13,13,13,12,12,11,11,11,10,10,10,9,9,9,9,9,9,9,9,8,8,8,7,7,6,6,6,7,6,5,4,4,4,4,5,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 12,12,12,13,14,15,15,16,16,15,15,15,14,14,14,14,12,13,13,13,13,12,11,11,10,10,10,10,11,11,12,12,12,12,13,13,14,15,16,16,17,16,15,14,13,13,13,13,15,16,18,21,23,25,27,28,27,26,25,24,23,22,21,20,20,20,22,25,29,34,39,41,47,47,47,46,45,45,44,44,45,47,50,54,56,57,57,57,53,50,47,44,42,39,36,33,28,26,23,21,21,24,28,31,32,33,33,33,30,27,24,22,23,24,27,31,35,38,40,42,43,42,41,39,37,35,32,31,30,33,39,44,48,50,50,49,45,42,39,36,35,37,40,42,48,50,51,51,49,45,41,38,39,44,54,65,74,77,76,73,61,56,49,44,43,45,48,49,54,61,71,81,90,95,99,101,91,84,74,64,56,49,44,41,45,51,62,75,86,92,93,92,88,85,81,80,83,88,90,89,77,70,59,51,47,46,45,44,40,40,40,44,51,59,66,71,68,63,54,43,34,30,31,33,38,44,50,53,53,51,49,49,46,46,45,45,44,44,44,44,50,51,53,55,54,48,39,32,28,24,26,33,42,51,62,71,77,77,77,74,68,60,52,47,44,44,43,42,41,39,37,36,36,35,35,35,36,35,33,31,29,28,27,27,27,28,29,30,33,36,40,44,48,53,58,62,64,63,59,50,42,39,42,46,62,69,76,77,72,62,54,49,44,44,43,41,37,31,26,23,19,21,24,27,27,26,24,23,26,28,32,39,46,49,50,49,46,42,36,31,29,32,36,39,41,40,39,36,32,27,23,20,17,18,19,20,20,20,19,19,19,18,19,21,25,27,27,26,28,29,32,35,38,41,43,44,43,41,37,32,28,29,32,35,40,41,42,42,41,37,34,32,30,30,31,34,36,36,34,32,31,31,35,41,49,56,60,61,56,51,43,38,35,35,35,34,31,29,26,27,29,33,35,35,34,31,27,25,25,28,32,35,37,37,36,35,33,31,29,28,24,24,24,24,25,26,28,29,28,27,27,29,32,33,32,31,28,26,22,18,17,18,19,21,24,24,25,25,25,24,23,22,22,23,25,26,27,26,25,24,23,23,22,22,21,20,20,20,15,15,16,16,17,18,18,18,18,17,16,14,13,11,9,8,9,9,9,9,10,10,10,10,13,13,13,13,13,13,13,13,12,12,12,11,11,11,10,10,9,9,9,9,9,9,9,9,8,8,8,7,7,6,6,6,7,6,5,4,4,4,4,5,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 11,11,12,12,13,14,15,15,15,15,14,14,14,13,13,13,12,12,13,13,13,13,12,11,10,10,10,11,11,12,12,12,12,13,13,14,15,16,16,17,16,15,14,14,13,14,14,14,18,19,21,23,26,28,30,31,29,29,28,26,24,23,22,21,21,22,23,25,29,33,37,40,44,43,42,41,40,40,41,41,45,47,50,53,54,54,53,52,48,45,42,39,38,35,32,29,24,23,21,20,21,23,26,29,32,31,31,30,29,27,26,25,27,28,30,33,36,37,38,39,41,41,41,40,39,37,35,34,32,35,40,45,48,50,51,51,44,41,37,33,32,33,35,37,42,44,47,49,49,46,42,40,42,46,53,63,71,75,75,74,65,61,55,50,48,48,50,52,56,63,72,79,84,87,89,90,81,75,66,56,48,43,40,40,49,57,71,86,96,102,103,102,98,98,95,93,95,99,97,92,76,68,57,51,49,49,48,47,44,42,41,45,51,59,66,69,64,60,52,43,36,35,38,42,49,56,64,67,65,60,57,56,50,51,51,50,48,46,43,41,46,49,54,58,57,51,42,35,31,27,29,35,43,49,58,67,73,74,75,75,71,64,57,53,42,40,37,34,32,32,32,33,35,35,36,36,35,33,31,30,28,28,27,27,27,28,29,30,32,35,38,41,43,47,51,55,57,56,51,42,35,34,41,48,65,71,78,77,69,58,50,45,44,45,46,44,41,34,28,24,21,22,24,26,27,28,27,27,29,32,39,47,55,58,57,55,44,40,33,29,29,34,40,44,46,46,45,42,37,31,25,22,18,19,20,20,21,21,20,20,21,19,19,20,23,25,26,26,26,27,29,31,33,35,37,38,34,33,31,28,26,28,32,36,41,42,43,43,40,36,31,28,27,26,26,28,30,31,30,28,29,32,36,44,52,57,59,58,51,46,39,35,33,33,32,32,30,28,26,26,29,31,32,31,29,27,24,23,26,31,38,43,48,48,47,46,43,39,36,34,31,30,28,27,27,27,29,30,29,28,27,28,30,32,31,30,27,25,21,19,17,18,20,22,24,25,25,26,26,25,24,24,23,24,25,27,27,27,25,25,26,25,24,24,22,21,21,20,16,16,17,17,17,17,17,18,16,16,16,15,14,12,10,9,9,9,9,9,9,9,10,10,11,11,11,12,12,12,13,13,13,12,12,12,11,11,11,11,10,10,9,9,9,9,8,8,8,8,8,7,7,6,6,6,7,6,5,4,4,4,4,5,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 10,10,11,12,13,13,14,14,14,14,14,13,13,13,12,12,12,12,13,14,14,13,13,12,11,11,11,11,12,12,12,13,13,14,14,15,16,17,17,18,15,15,15,14,15,15,16,17,20,21,23,25,27,29,31,32,31,31,30,28,26,25,23,23,21,21,22,24,27,30,34,36,38,37,35,34,34,35,36,37,42,44,47,50,51,50,48,47,41,38,35,34,33,31,28,26,23,22,21,21,22,23,25,27,30,29,28,26,26,26,27,28,31,32,34,36,37,37,37,36,40,41,41,41,41,40,39,38,36,37,40,42,45,46,47,48,41,38,34,31,30,31,33,35,42,45,49,53,54,53,50,48,48,50,55,62,69,73,74,74,68,66,62,57,52,50,50,51,51,57,65,70,72,73,75,76,72,68,60,51,45,42,43,44,53,63,77,91,100,104,105,104,98,99,97,94,96,98,92,82,67,59,50,45,46,47,46,45,43,40,38,41,48,55,60,62,61,58,52,45,41,41,46,50,61,69,79,83,78,71,66,64,60,62,63,63,60,55,49,46,46,49,55,61,62,56,47,40,35,32,33,39,44,48,54,61,64,66,69,70,68,64,58,55,43,40,34,28,26,26,28,30,33,35,36,36,33,30,28,27,27,27,27,27,28,29,29,29,33,35,38,39,40,43,46,49,50,49,45,36,29,30,40,49,66,72,77,75,65,54,46,43,44,46,48,48,45,38,31,26,22,22,24,25,27,30,31,32,39,42,49,56,62,63,60,57,41,37,31,26,27,33,41,46,51,51,49,45,40,32,26,22,20,21,22,22,23,23,22,22,23,21,19,20,22,25,26,26,26,26,26,26,27,28,30,31,25,25,25,24,24,27,32,36,41,42,43,42,39,34,28,25,24,23,22,24,26,28,28,27,30,32,38,46,53,56,55,54,47,43,37,34,33,33,33,33,30,28,26,27,28,29,29,28,24,22,21,23,29,38,48,55,63,63,62,60,56,51,46,43,37,35,33,30,29,29,29,30,29,27,26,26,28,29,28,27,24,22,19,17,16,17,20,21,24,25,25,26,26,25,25,24,23,24,25,27,27,26,25,25,26,26,25,24,22,21,20,19,18,18,18,18,17,17,17,17,15,15,16,16,15,13,11,10,10,10,10,10,10,10,10,10,9,10,10,10,11,11,12,12,13,13,12,12,12,11,11,11,10,10,10,9,9,8,8,8,8,8,8,7,7,6,6,6,7,6,5,4,4,4,4,5,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 10,10,11,11,12,13,14,14,14,14,13,13,13,12,12,12,12,12,13,14,14,14,13,13,11,11,12,12,12,13,13,13,14,14,15,16,17,17,18,18,15,15,15,15,16,17,18,19,21,22,23,25,27,29,31,32,33,32,31,29,27,26,24,24,20,20,21,22,24,28,31,33,33,32,30,29,29,30,32,34,37,39,43,46,47,46,44,43,34,32,29,28,28,27,24,22,22,22,22,22,23,24,25,25,28,27,25,23,23,25,27,29,34,35,37,38,38,37,36,35,41,41,42,42,42,42,41,40,39,39,39,40,41,42,43,43,39,37,34,31,31,32,34,36,45,49,54,59,62,61,58,56,52,53,56,62,68,73,74,74,70,69,66,61,55,51,48,48,43,49,56,60,61,62,64,66,67,63,57,49,44,44,46,49,56,65,80,92,100,103,103,102,92,94,92,89,90,91,83,71,58,50,42,38,41,43,42,40,39,36,34,36,43,50,54,56,60,57,52,46,44,46,51,56,69,78,89,93,88,79,72,70,70,72,74,75,71,65,58,53,46,50,57,63,65,60,51,44,38,35,36,41,45,47,52,58,56,59,62,64,64,60,56,53,46,40,33,26,22,23,26,28,32,34,36,35,32,28,26,25,27,27,27,28,28,29,29,29,34,36,38,39,39,40,44,46,46,46,41,32,25,28,39,50,66,72,76,73,63,51,44,41,45,47,50,50,47,40,32,27,22,22,23,24,27,31,34,36,49,52,57,63,66,64,59,54,40,35,29,24,26,32,40,46,55,54,52,48,42,34,27,23,21,22,23,24,24,24,24,24,24,22,20,20,22,25,26,27,26,25,24,23,23,24,25,26,18,19,21,21,23,26,31,35,41,42,42,42,38,32,27,23,23,21,20,22,24,26,27,26,30,33,39,47,53,55,53,50,44,41,37,34,34,35,35,34,30,28,27,27,28,29,27,26,19,18,19,23,32,44,56,64,76,76,75,72,68,62,56,52,41,39,35,32,30,29,30,31,28,26,24,24,26,27,26,25,22,20,17,15,15,16,19,21,24,24,25,26,26,26,25,25,22,23,25,26,27,26,25,24,26,25,24,23,21,20,19,18,20,19,19,18,18,17,17,16,14,15,16,16,15,14,12,11,10,10,10,10,10,10,10,10,8,9,9,10,10,11,11,11,13,13,13,12,12,11,11,11,10,10,10,9,9,8,8,8,8,8,8,7,7,6,6,6,7,6,5,4,4,4,4,5,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 10,10,11,12,13,13,14,14,14,13,13,12,12,13,13,14,12,12,11,12,13,14,15,16,12,12,12,13,13,13,13,13,17,17,17,18,18,19,19,19,19,18,17,16,16,16,16,17,21,21,22,23,26,29,32,34,33,33,32,32,30,28,27,26,20,20,20,21,22,23,25,26,27,25,23,21,23,26,30,33,36,40,44,46,45,42,40,39,35,32,28,25,23,23,24,25,24,25,25,25,25,24,23,23,26,26,27,28,30,33,35,36,37,38,38,38,39,39,39,39,41,42,44,46,46,44,42,41,38,37,36,35,34,34,34,34,32,32,31,29,28,30,35,38,51,55,61,66,68,66,63,60,60,60,60,62,64,67,71,72,71,68,65,61,58,54,49,45,43,43,42,43,45,49,53,55,57,57,55,54,53,53,53,54,63,69,77,84,88,88,85,82,81,82,83,82,77,70,62,56,42,39,36,35,38,41,43,44,39,35,32,32,37,44,50,53,52,51,49,46,46,50,59,66,79,88,98,101,95,87,81,79,79,81,85,91,91,82,67,54,53,52,55,61,66,65,56,48,38,37,38,41,46,50,51,50,53,50,49,50,54,57,56,55,45,41,35,29,26,26,27,29,28,30,31,29,26,25,27,30,31,31,30,28,26,25,27,30,29,33,37,39,38,39,43,47,53,51,44,34,27,28,37,46,60,71,77,70,57,47,40,35,40,43,46,47,45,38,31,26,23,24,24,24,26,31,37,43,51,59,66,68,67,64,56,48,32,29,25,24,27,34,42,47,50,49,47,43,38,32,27,24,22,23,26,29,30,30,29,28,29,25,21,21,24,27,27,26,28,27,25,23,21,20,19,19,16,16,16,17,20,24,28,31,36,36,35,34,31,28,24,22,17,19,21,22,21,22,24,26,32,39,45,47,50,53,51,47,39,37,36,36,37,37,35,33,31,29,27,26,26,25,23,21,17,17,20,26,38,52,65,73,84,84,83,80,74,66,59,54,48,44,38,35,34,33,32,31,28,27,26,24,22,20,19,18,16,16,16,16,17,18,20,20,26,25,24,23,22,22,22,22,20,21,23,25,26,27,26,25,25,24,23,22,21,19,18,18,16,16,16,15,15,15,14,14,15,15,15,14,14,14,13,13,12,12,11,10,10,9,8,8,7,7,7,8,9,10,11,12,13,13,13,13,13,13,13,13,9,9,9,8,8,7,7,7,7,7,7,6,6,5,5,5,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 10,10,11,11,12,13,14,14,14,13,13,12,12,13,13,14,12,12,11,12,13,14,15,16,14,14,14,15,15,15,15,16,17,17,17,18,18,19,19,19,18,18,17,16,16,17,17,17,21,21,22,24,26,29,32,34,34,33,33,32,30,28,26,25,20,20,20,20,21,22,23,24,25,23,22,21,23,27,31,34,37,40,44,45,43,39,37,36,31,30,27,25,24,25,26,27,27,27,27,28,27,27,26,26,28,28,29,31,33,35,37,38,41,41,41,41,41,41,40,40,42,43,43,43,43,41,39,37,37,36,34,32,31,30,29,29,27,28,29,29,30,34,39,43,53,57,63,68,70,69,66,64,60,60,60,61,62,64,67,68,68,66,63,61,59,55,49,45,39,38,36,36,38,41,45,47,52,52,52,53,53,53,53,53,58,61,67,71,73,73,70,69,66,68,69,68,64,57,50,45,35,34,33,36,40,45,47,47,40,37,32,31,35,40,45,48,49,49,49,47,47,52,59,65,76,85,96,99,95,87,82,79,83,86,93,100,101,92,76,63,55,55,58,64,70,68,59,51,40,39,39,42,47,50,51,50,47,44,41,42,45,49,50,49,47,44,40,35,31,30,29,29,26,27,27,26,24,25,29,32,34,34,32,29,26,25,27,29,32,35,37,38,38,41,47,53,61,60,54,44,35,34,42,49,60,70,75,68,55,45,37,32,36,38,42,44,42,37,31,26,23,24,24,24,26,31,39,44,54,61,65,64,60,55,46,37,29,27,24,24,27,33,40,45,46,45,42,38,34,29,25,23,23,25,30,33,35,35,34,33,31,27,22,21,23,26,27,27,28,27,25,23,21,19,18,18,18,17,17,17,20,24,27,30,34,34,34,33,30,27,24,22,19,20,21,22,22,24,27,30,35,42,48,49,51,53,51,46,40,38,36,36,36,36,34,32,30,28,26,25,25,24,22,20,19,20,23,31,42,56,69,77,88,88,87,83,77,70,63,59,50,46,41,38,36,35,33,32,27,26,25,23,21,20,19,18,17,17,17,18,19,20,22,22,26,25,24,22,21,21,21,21,19,21,23,24,25,25,25,24,23,22,21,20,19,18,17,16,15,15,15,14,14,14,13,13,14,14,14,14,14,14,14,14,12,12,11,10,10,9,8,8,7,7,7,8,9,10,11,12,13,13,13,13,13,13,13,13,9,9,9,8,8,7,7,7,7,7,7,6,6,5,5,5,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 9,9,10,11,12,12,13,13,13,13,12,12,12,12,13,13,12,12,11,12,13,14,15,16,16,16,16,17,17,18,18,18,17,17,18,18,18,19,19,19,18,17,17,17,17,17,18,19,22,22,23,25,27,30,32,34,34,34,33,31,29,26,24,23,20,19,19,18,19,19,20,20,22,21,21,22,24,28,32,34,39,41,43,42,39,35,33,32,26,26,26,26,27,28,30,31,31,31,31,31,32,32,32,32,33,34,35,37,39,41,42,43,46,46,46,46,46,45,43,43,46,45,44,43,41,39,37,37,37,36,33,30,28,26,25,24,22,24,27,29,32,38,44,49,54,58,64,69,71,70,67,65,59,58,58,58,59,60,61,62,62,62,61,61,60,57,51,47,38,36,33,31,32,35,39,41,47,48,50,52,53,53,52,52,51,51,52,53,53,53,52,51,49,50,51,51,48,42,36,33,26,28,32,38,45,50,52,52,43,38,33,30,31,35,37,39,43,44,46,47,49,53,58,61,70,78,88,93,91,85,80,77,83,90,100,110,111,102,86,73,59,60,64,71,77,75,66,57,45,42,40,42,48,52,53,51,42,39,35,34,36,41,44,46,50,50,48,45,41,37,33,31,25,25,24,23,23,26,32,36,40,39,37,33,29,27,27,29,36,37,37,37,39,46,57,65,74,73,68,57,47,42,46,51,60,69,73,65,53,43,34,28,29,32,36,38,38,34,29,26,24,24,25,25,28,33,40,46,54,59,61,57,51,45,36,26,23,23,23,24,28,33,37,40,41,39,36,32,28,25,23,22,24,28,34,40,43,43,41,39,34,30,24,21,22,25,27,28,28,27,26,24,22,20,18,18,20,19,18,18,20,23,26,28,32,32,33,32,30,28,25,24,22,23,23,23,23,27,32,36,42,48,53,53,53,54,50,44,40,38,36,35,35,35,32,30,27,25,23,23,23,23,21,19,20,21,25,33,45,58,71,78,89,88,86,82,77,70,64,60,52,48,44,41,39,37,34,32,26,25,23,21,20,19,18,18,18,19,19,21,22,24,25,25,26,25,23,21,20,19,19,19,19,20,22,23,24,24,23,22,19,19,18,17,16,15,14,14,13,13,13,12,12,12,11,11,11,12,12,13,14,14,15,15,12,12,11,10,10,9,8,8,8,7,7,7,8,9,11,11,12,12,12,12,12,12,12,12,9,9,9,8,8,7,7,7,7,7,7,6,6,5,5,5,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 8,9,9,10,11,12,12,12,13,13,12,11,11,12,13,13,12,12,11,12,13,14,15,16,16,16,17,18,18,19,19,20,19,19,19,19,19,19,19,19,18,17,17,17,17,18,19,19,21,22,23,25,27,30,31,32,34,34,32,30,28,25,22,21,19,18,17,17,17,17,17,18,19,20,21,23,26,29,32,34,40,41,41,39,35,31,29,28,23,25,27,30,32,34,35,36,36,36,36,36,36,37,38,39,41,41,43,45,47,48,49,50,52,52,53,53,52,50,49,48,49,48,45,42,40,40,40,40,41,39,36,32,28,26,24,23,22,24,27,31,34,40,46,51,53,56,60,63,64,63,60,57,53,54,54,55,55,56,57,58,58,58,60,62,62,59,54,49,42,40,36,33,32,35,38,41,45,46,49,51,51,50,48,47,43,41,40,38,37,37,37,38,37,38,39,39,37,33,29,26,23,27,34,43,51,55,56,54,45,40,33,29,29,30,31,31,36,38,41,45,48,51,53,54,59,66,76,81,81,77,73,71,77,86,100,112,115,106,91,79,67,68,73,81,87,84,74,64,48,44,41,43,49,55,56,54,44,40,34,31,32,36,42,46,54,55,57,57,54,48,41,37,28,26,24,23,25,30,37,41,48,47,44,39,34,31,31,32,39,39,39,39,43,54,69,81,89,89,84,72,59,50,49,52,62,70,72,64,53,43,34,27,25,27,31,33,33,31,28,26,24,25,26,27,29,35,43,48,52,56,56,50,44,39,30,22,18,20,22,25,28,31,34,35,36,34,31,28,25,24,24,24,26,30,38,44,48,49,48,46,39,34,28,23,22,24,27,30,31,30,29,27,25,22,20,19,21,20,19,19,20,22,25,27,31,32,33,34,34,32,31,30,29,28,27,26,27,31,38,43,50,56,59,57,56,54,49,43,39,37,34,33,33,32,29,27,23,22,20,20,21,21,20,18,18,20,25,33,44,56,67,74,82,81,78,74,69,63,58,56,51,48,45,42,40,37,33,30,24,23,21,19,18,18,18,19,20,21,22,24,25,27,27,28,26,25,23,21,19,18,18,18,19,20,21,23,23,22,21,20,16,16,15,14,13,12,12,11,12,11,11,11,10,10,10,9,9,10,10,12,13,14,15,16,12,12,11,10,10,9,8,8,8,7,7,7,8,9,10,10,11,11,11,11,11,11,11,11,9,9,9,8,8,7,7,7,7,7,7,6,6,5,5,5,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 8,8,8,9,10,11,11,12,13,12,11,11,11,11,12,13,12,12,11,12,13,14,15,16,16,16,17,18,19,19,20,21,21,21,21,21,21,21,20,20,19,18,18,17,17,18,19,19,20,21,23,25,27,29,30,30,32,32,30,28,26,23,20,18,18,17,16,16,15,16,16,17,18,19,22,24,28,31,33,35,39,39,38,35,30,27,26,26,24,27,31,36,39,41,41,41,40,40,40,40,41,43,44,45,49,50,52,54,55,55,55,55,55,56,58,59,59,58,56,55,51,48,44,40,38,39,40,42,45,43,40,36,32,29,27,26,25,28,31,33,36,40,45,49,48,50,53,55,54,52,48,46,46,47,49,50,52,53,54,54,54,55,57,60,62,60,55,52,47,44,40,37,36,37,40,42,42,43,45,46,46,44,41,39,35,33,31,28,27,28,28,29,31,31,32,32,30,28,25,23,25,30,38,47,55,58,56,54,45,40,34,29,28,27,27,27,30,32,36,41,45,46,46,45,47,52,59,64,66,65,63,62,70,80,96,109,113,106,94,84,76,78,83,92,97,93,81,71,51,45,40,43,52,59,61,60,49,45,38,32,30,33,39,44,55,59,65,68,67,61,53,48,37,33,29,28,31,36,42,46,54,53,50,45,40,37,36,37,40,41,41,42,49,63,80,93,104,104,99,87,71,59,55,56,65,71,72,65,54,45,36,28,24,25,28,30,31,30,28,26,25,26,27,28,31,38,45,51,55,57,55,47,39,34,26,18,16,18,22,25,28,30,30,30,32,30,28,26,25,25,26,27,27,31,37,43,48,50,51,51,43,39,33,27,24,25,28,31,34,34,33,31,29,25,23,21,22,21,20,19,20,23,25,27,32,33,36,38,40,40,40,39,38,37,35,33,33,37,44,49,56,60,62,59,56,53,47,40,35,33,31,30,29,28,26,24,21,19,18,18,20,20,19,17,19,21,26,33,43,53,62,67,72,70,67,63,59,55,52,50,48,46,44,42,40,37,32,28,23,22,20,18,17,18,19,20,22,23,25,27,28,29,29,28,25,24,22,21,19,19,18,18,20,20,22,22,22,21,20,18,14,13,13,12,12,11,10,10,10,10,10,9,9,9,8,8,8,8,9,11,12,14,15,16,12,12,11,10,10,9,8,8,8,7,7,7,7,8,9,9,11,11,11,11,11,11,11,11,9,9,9,8,8,7,7,7,7,7,7,6,6,5,5,5,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 7,7,8,8,9,10,11,11,12,12,11,11,11,11,12,12,12,12,11,12,13,14,15,16,16,17,18,19,20,21,22,22,24,24,23,23,23,22,22,22,21,20,19,18,18,18,18,18,19,20,22,24,26,27,28,28,29,28,27,26,23,21,18,17,16,16,15,15,15,16,16,17,19,21,24,27,30,32,34,34,36,36,34,31,27,25,25,26,29,32,38,44,48,48,47,46,44,43,43,43,45,47,49,51,56,57,59,60,60,59,58,57,57,59,62,65,66,66,65,64,54,50,44,39,36,37,39,41,46,45,42,38,35,32,30,30,30,32,34,36,37,39,42,45,44,45,47,48,47,44,41,39,41,42,44,47,48,49,50,50,51,51,53,56,58,58,55,52,47,45,42,40,39,39,40,41,40,40,41,41,40,38,37,35,33,32,30,28,27,26,26,25,28,28,27,26,25,24,22,21,28,33,41,50,56,58,55,52,44,40,34,30,28,28,28,27,29,30,33,38,41,41,39,36,36,38,42,47,50,52,52,52,63,73,89,102,108,104,96,90,83,85,91,99,104,98,85,74,51,44,39,43,54,64,67,66,55,50,42,34,29,30,35,40,54,61,70,77,79,74,67,61,50,45,40,38,40,44,48,50,57,56,54,49,44,41,41,43,42,43,44,47,53,67,84,97,111,111,107,95,79,67,62,63,67,72,72,65,55,47,38,30,27,28,29,30,30,29,28,27,25,26,28,29,33,40,48,54,61,62,56,45,36,29,21,14,16,19,22,26,28,28,28,27,27,27,27,26,27,27,28,29,28,30,33,37,42,47,51,53,47,44,39,32,27,27,29,32,37,36,36,34,31,28,24,22,22,21,20,20,21,23,26,28,32,34,38,42,46,48,50,50,49,48,45,42,41,43,49,53,56,60,62,58,53,50,43,35,30,28,25,25,25,24,22,20,19,17,16,17,19,20,19,18,21,23,28,34,42,50,56,60,61,59,56,53,50,47,46,45,44,43,42,41,40,37,31,27,23,21,19,17,17,19,21,22,24,25,27,29,30,29,28,28,24,23,22,21,20,20,20,20,21,22,23,23,22,21,19,18,13,13,12,12,11,11,11,10,10,10,9,9,9,8,8,8,7,8,9,10,12,13,14,14,12,12,11,10,10,9,8,8,8,8,7,7,7,7,8,8,10,10,10,10,10,10,10,10,9,9,9,8,8,7,7,7,7,7,7,6,6,5,5,5,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 6,6,7,8,9,9,10,10,12,11,11,10,10,11,11,12,12,12,11,12,13,14,15,16,18,18,19,21,22,23,24,25,26,26,26,25,25,24,24,24,23,22,20,19,17,17,17,17,17,19,21,23,25,26,26,25,25,25,24,23,21,19,17,16,15,15,15,15,15,16,18,18,21,23,26,30,32,34,34,34,33,32,31,28,24,23,25,27,35,39,46,52,55,55,52,50,46,45,45,45,47,50,53,55,60,61,62,62,61,59,57,55,57,60,64,69,72,72,72,71,64,59,50,42,37,37,39,41,44,42,40,37,35,33,32,31,33,35,37,37,37,38,41,43,40,42,44,46,46,44,42,40,40,41,43,44,45,45,45,44,47,47,48,50,53,53,51,49,46,45,44,43,42,41,40,40,41,41,41,41,41,41,41,41,40,40,40,38,36,33,30,28,28,27,26,25,24,23,22,22,29,33,40,49,55,56,53,49,42,38,34,31,30,31,30,30,31,31,32,36,39,38,34,30,29,29,30,33,37,41,43,45,56,65,80,93,99,99,95,92,86,89,95,103,106,100,85,73,50,42,37,43,56,68,73,73,63,58,50,39,31,30,34,38,53,61,73,83,87,85,79,74,63,58,52,48,49,52,53,53,56,56,54,50,46,44,45,46,44,46,48,50,55,66,81,91,104,105,102,92,78,68,65,66,66,71,70,63,55,48,40,32,32,32,31,31,30,29,28,27,26,27,28,30,34,41,50,56,62,61,55,43,34,28,21,15,18,20,23,26,27,27,26,25,23,24,25,27,28,29,29,29,28,28,27,29,34,41,49,53,49,48,44,37,31,28,30,33,37,37,37,35,32,28,24,22,22,21,20,20,21,24,27,29,31,34,39,45,50,54,57,58,59,57,54,50,48,48,52,55,53,57,58,53,48,44,37,29,24,22,20,20,20,20,18,16,18,16,16,17,19,20,19,18,22,23,27,32,37,43,47,50,49,48,45,42,40,39,39,40,41,41,41,42,42,38,33,28,23,22,19,18,18,20,22,24,26,27,29,30,30,29,27,26,24,23,22,22,22,22,23,23,22,23,24,24,23,21,19,18,13,13,13,13,12,12,12,12,10,10,9,9,9,8,8,8,8,8,9,10,11,12,12,13,12,12,11,10,10,9,8,8,8,8,7,6,6,7,7,8,9,9,9,9,9,9,9,9,9,9,9,8,8,7,7,7,7,7,7,6,6,5,5,5,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 6,6,7,7,8,9,10,10,12,11,11,10,10,11,11,12,12,12,11,12,13,14,15,16,20,20,21,22,24,25,26,27,28,28,27,27,26,26,25,25,24,23,21,19,17,16,16,16,16,18,20,23,24,25,24,24,22,22,22,21,20,18,16,15,14,14,14,15,16,17,19,19,22,24,28,31,34,35,34,34,30,30,28,26,23,23,25,28,39,44,51,57,60,58,55,52,47,46,46,46,48,51,55,57,61,62,62,62,61,58,55,53,57,60,66,71,75,76,76,76,74,68,57,47,41,40,41,43,40,39,37,35,33,32,32,31,34,36,38,38,38,38,40,42,39,41,44,46,48,47,46,45,40,41,42,43,43,42,41,40,44,44,44,46,48,50,49,47,46,46,46,46,45,43,42,41,45,45,45,45,46,47,48,49,49,50,50,49,46,41,36,32,31,30,28,26,25,24,24,24,27,31,39,47,53,54,51,48,41,38,33,31,32,33,33,32,33,33,33,36,38,37,32,28,26,24,23,25,30,35,39,41,49,59,72,84,91,93,92,90,87,90,96,104,107,99,84,71,49,41,36,42,57,71,77,76,69,65,56,44,35,31,34,39,52,60,74,86,92,91,86,82,72,66,59,55,55,56,56,55,54,54,53,49,46,45,46,48,46,48,50,51,55,64,76,85,94,96,94,85,74,65,64,66,65,69,69,62,55,49,40,32,35,34,33,32,31,29,28,27,26,27,29,31,35,42,51,57,57,57,51,41,33,29,25,19,20,22,24,26,27,26,25,24,20,22,24,27,29,29,29,29,29,26,24,24,28,37,47,53,51,50,47,41,34,30,31,33,36,37,37,35,32,28,24,21,21,20,20,20,21,24,28,30,30,33,39,46,52,58,61,62,64,63,60,56,52,51,53,56,50,54,54,49,44,40,32,24,20,18,17,17,18,18,16,15,17,16,16,17,19,20,20,19,19,21,24,28,32,37,40,41,41,39,36,34,32,33,34,35,40,41,42,43,43,40,34,29,23,22,19,18,18,20,23,25,27,28,30,31,30,29,26,25,23,23,22,22,23,23,24,25,23,24,24,24,23,21,19,18,14,14,13,13,13,13,13,12,10,10,10,9,9,8,8,8,8,8,9,10,10,11,12,12,12,12,11,10,10,9,8,8,8,8,7,6,6,6,7,7,9,9,9,9,9,9,9,9,9,9,9,8,8,7,7,7,7,7,7,6,6,5,5,5,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 7,7,7,8,8,9,9,9,10,10,9,9,9,10,11,11,11,12,12,13,15,17,19,20,21,22,24,26,27,28,28,28,30,30,31,31,30,28,26,24,24,23,21,19,17,16,16,16,15,15,16,18,19,20,21,22,21,21,20,20,18,17,15,14,16,17,17,16,16,17,20,22,28,31,35,38,39,38,35,33,30,29,26,25,26,30,34,37,44,48,53,58,59,57,53,50,48,44,41,42,46,51,53,53,59,59,59,57,56,53,51,50,57,61,66,71,75,80,86,90,83,76,67,60,54,48,42,37,40,36,32,30,32,35,37,37,36,38,40,38,36,36,38,41,45,47,50,54,56,56,53,49,48,43,39,39,38,34,35,39,37,40,43,44,43,41,41,41,38,39,41,43,46,48,49,50,50,47,48,52,55,56,59,65,69,71,70,64,59,53,44,34,35,33,30,28,28,28,28,27,32,36,41,44,50,54,50,43,42,33,26,29,35,38,40,42,40,41,39,36,36,37,32,24,23,22,21,22,25,30,36,40,45,55,69,79,83,84,85,85,82,86,92,98,97,87,72,61,44,41,42,48,60,70,74,74,70,62,52,45,38,32,34,39,46,54,67,82,92,96,93,90,82,76,68,63,60,57,54,51,48,48,48,46,44,43,44,45,43,43,44,47,52,58,63,66,75,75,74,71,68,64,60,57,57,56,53,50,46,43,40,38,37,39,39,38,34,30,28,28,26,27,29,33,38,44,49,52,56,53,46,39,32,27,24,22,21,22,24,26,27,27,26,25,22,18,18,23,28,30,34,39,32,32,28,23,26,36,46,49,51,51,49,44,37,32,30,30,31,33,35,34,30,26,23,22,20,21,22,23,24,25,26,26,32,34,39,44,49,54,56,58,64,63,62,59,56,53,51,49,49,48,46,42,37,31,26,23,16,16,15,15,15,17,19,20,20,20,20,20,20,20,21,21,24,24,26,27,30,32,35,36,36,35,34,33,33,33,33,34,39,41,45,46,45,41,37,33,23,22,20,20,20,20,22,22,26,27,28,28,28,26,24,23,23,22,22,21,21,22,23,23,26,26,26,25,24,23,21,20,20,19,17,15,13,12,11,11,11,11,11,11,10,9,8,7,8,8,8,9,9,10,10,11,9,9,9,8,8,7,7,7,7,7,7,8,8,9,9,9,10,10,10,10,10,10,10,10,9,9,9,8,8,7,7,7,8,8,7,6,6,5,4,4,5,5,5,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 7,7,7,8,8,8,9,9,10,10,9,9,9,10,11,12,13,13,13,14,16,18,20,21,23,24,25,27,28,29,29,29,31,31,32,32,31,29,26,25,24,23,21,19,17,16,16,15,14,14,15,17,18,19,20,21,19,19,19,18,17,16,15,14,16,17,18,18,18,20,23,26,31,33,37,40,41,39,37,35,32,31,28,27,29,32,36,39,44,48,52,56,56,54,50,47,43,39,36,36,40,44,46,47,54,54,55,54,53,52,50,49,50,54,61,67,75,83,90,96,96,90,81,72,63,54,44,38,38,35,31,30,33,36,38,39,38,39,40,38,36,37,41,44,49,51,56,61,65,64,59,56,51,45,40,38,36,32,33,38,37,40,42,42,40,38,37,36,36,38,41,44,48,51,53,55,58,56,57,61,64,67,73,80,89,91,88,79,71,62,50,39,36,33,30,29,29,30,31,32,37,43,48,51,56,58,53,45,42,32,26,29,35,39,43,47,46,46,42,38,37,38,34,27,25,25,24,25,29,34,39,42,46,54,64,72,75,76,76,76,72,75,79,83,82,74,62,53,45,44,46,54,65,72,74,72,65,57,49,44,38,32,33,38,44,50,62,75,86,90,89,86,81,75,67,60,57,53,49,46,45,46,46,44,41,40,41,42,41,41,42,44,46,50,53,54,57,58,58,58,56,54,51,50,51,50,47,44,42,39,38,37,37,39,40,38,34,31,29,29,28,29,31,34,38,42,46,48,51,48,43,37,31,27,24,23,24,25,26,28,28,28,27,26,23,18,16,21,26,32,39,46,48,48,43,35,34,39,43,44,50,49,46,40,34,29,28,28,30,32,34,33,29,25,22,22,19,20,23,25,27,28,29,29,31,33,36,40,44,48,52,53,58,58,57,56,54,51,48,47,45,45,43,41,36,31,26,24,20,19,18,17,17,18,19,20,20,20,20,20,20,20,19,19,22,23,24,26,29,32,34,36,35,34,33,32,32,33,33,34,38,41,44,47,47,44,40,37,27,25,23,20,19,19,20,21,23,24,25,25,25,24,23,22,23,22,21,21,21,21,21,22,25,25,25,25,24,23,22,21,21,19,18,16,14,13,12,12,12,12,12,12,11,10,9,8,7,8,8,8,9,9,10,10,9,9,8,8,8,7,7,7,7,7,7,8,8,8,9,9,10,10,10,10,10,10,10,10,9,9,9,8,8,7,7,7,8,8,7,6,6,5,4,4,5,5,5,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 7,7,7,7,8,8,8,9,10,10,9,9,10,11,12,12,14,15,15,16,18,20,22,23,25,26,27,29,30,31,31,31,32,33,33,33,31,29,27,25,23,22,20,18,17,15,15,15,13,13,14,15,16,17,18,19,17,17,17,16,16,15,15,15,16,17,20,21,22,24,28,31,34,36,40,42,43,42,40,38,35,34,32,31,32,35,39,41,43,45,49,51,50,47,43,41,37,34,31,31,33,37,39,40,46,47,49,50,50,49,48,47,46,50,56,64,72,83,93,99,104,101,94,86,75,62,49,41,36,34,32,32,36,40,42,43,42,41,40,37,36,38,43,46,53,56,63,70,74,72,67,62,53,45,39,35,32,29,32,37,39,41,42,41,37,34,32,32,35,37,42,47,53,57,60,62,68,65,65,70,74,79,90,100,113,115,110,98,84,70,55,43,36,34,31,30,30,33,37,39,44,51,57,60,62,62,55,46,41,32,26,29,36,42,49,55,56,55,50,42,39,40,37,31,30,30,30,31,34,39,43,46,47,52,58,62,63,63,63,63,60,61,62,63,62,57,51,45,44,46,52,62,70,74,71,67,57,50,44,41,37,32,32,36,40,44,53,64,74,79,80,79,76,71,63,56,51,47,43,41,42,42,42,39,37,35,36,37,37,38,38,39,39,39,39,39,37,38,40,42,43,43,42,42,42,41,38,36,35,35,35,36,37,38,39,37,34,31,30,30,31,32,33,36,38,40,42,43,43,41,37,33,29,27,26,25,28,28,29,30,30,30,29,29,25,19,15,19,25,34,48,59,66,67,63,53,45,44,43,40,48,46,42,35,29,25,24,25,28,31,32,31,28,24,22,21,19,21,25,30,33,34,34,34,33,33,33,34,36,39,42,44,47,48,49,50,49,46,44,42,40,41,40,39,36,32,28,25,25,24,23,22,21,20,20,21,21,21,20,20,19,18,18,17,19,20,21,24,27,30,33,34,33,33,32,32,32,33,33,34,37,40,44,46,47,45,42,39,31,28,24,20,18,18,19,20,20,20,21,22,22,22,21,21,23,22,21,20,19,19,20,20,23,23,24,24,24,24,23,22,21,20,19,17,15,14,14,14,13,13,13,13,12,11,9,9,7,7,7,8,8,8,9,9,9,8,8,8,7,7,7,7,7,7,7,7,8,8,8,9,10,10,10,10,10,10,10,10,9,9,8,8,8,8,7,7,8,8,7,6,6,5,4,4,5,5,5,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 6,6,7,7,7,8,8,8,10,10,9,10,10,11,13,13,16,16,17,18,20,22,23,25,27,28,30,31,32,32,32,32,33,34,34,34,32,30,27,26,22,21,19,17,16,15,14,14,12,12,13,14,15,16,16,17,15,15,15,15,15,15,15,16,16,19,22,24,26,29,33,36,37,39,42,44,44,43,41,40,37,36,34,33,34,36,39,41,39,40,42,43,41,38,35,33,32,30,28,27,28,31,34,36,40,42,44,46,48,47,46,46,46,49,54,60,68,79,91,98,105,104,101,94,84,70,57,48,38,37,37,40,44,47,49,49,48,45,40,36,35,37,41,45,52,57,64,71,76,74,67,62,49,41,34,30,28,27,31,37,42,44,44,42,38,34,32,32,37,41,46,53,60,65,68,70,73,70,69,73,78,87,102,116,130,131,126,111,92,74,56,43,37,35,33,32,32,37,43,47,50,58,66,68,68,65,57,47,41,33,26,29,37,45,56,65,69,67,60,50,44,43,40,36,36,36,37,38,41,44,47,49,49,50,52,52,52,51,51,51,50,48,47,46,45,44,43,42,43,49,58,68,74,72,66,60,47,41,38,38,36,33,32,34,35,37,42,50,59,65,68,69,67,63,56,50,45,41,39,37,37,38,37,35,32,31,32,33,33,34,35,36,35,33,30,29,27,29,31,34,36,36,36,36,33,32,31,29,30,31,33,34,35,36,37,35,33,31,31,32,32,33,35,37,38,38,38,38,35,33,31,29,27,27,27,27,29,29,30,32,32,33,34,34,29,22,16,18,26,39,58,73,81,84,81,70,59,52,46,41,44,42,37,30,24,21,21,23,27,29,31,30,27,23,21,20,20,24,30,36,40,42,42,42,38,36,33,31,30,30,31,32,34,36,39,41,41,39,37,35,37,38,39,39,38,35,31,29,30,30,28,26,24,22,21,21,21,21,20,19,18,17,16,16,16,17,19,21,24,28,31,33,33,32,32,32,32,33,34,34,36,38,41,43,43,41,39,36,30,27,23,19,17,17,18,20,18,18,19,20,20,21,21,21,23,22,21,19,19,18,19,19,21,22,23,24,25,25,24,24,22,21,20,18,17,16,16,16,15,15,15,15,13,12,10,10,7,7,7,8,8,8,8,8,8,8,8,7,7,7,6,6,6,6,7,7,7,8,8,8,9,9,9,9,9,9,9,9,8,8,8,8,8,8,8,8,8,8,7,6,6,5,4,4,5,5,5,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 6,6,6,7,7,7,8,8,10,10,10,10,11,12,14,14,17,18,18,19,21,23,25,26,29,30,31,32,33,33,33,33,34,34,34,34,32,29,27,25,22,20,19,17,15,14,13,13,12,12,12,13,14,14,15,15,14,14,13,13,14,15,17,18,19,22,25,28,30,32,35,38,39,40,42,43,44,43,41,40,38,36,34,33,33,34,35,36,32,33,33,33,32,30,27,26,26,25,24,22,23,26,30,33,38,40,43,46,47,47,46,45,45,46,50,55,63,75,88,96,104,105,104,99,89,75,63,56,46,47,50,54,58,59,58,56,53,48,41,36,34,36,39,41,49,52,58,64,67,66,60,55,42,34,27,25,25,26,32,39,46,47,47,45,41,39,38,38,44,48,54,60,66,71,73,74,75,71,69,71,76,88,108,125,138,140,135,119,97,76,57,43,36,36,35,34,35,39,47,53,59,68,75,76,74,70,60,51,43,34,27,29,37,48,63,75,82,82,75,63,54,50,45,40,41,42,43,44,46,48,50,50,50,48,46,44,43,42,42,41,39,37,35,33,33,35,38,40,48,55,65,74,77,71,62,54,39,33,31,34,35,34,33,35,32,32,34,39,46,52,56,58,55,53,48,42,38,35,34,35,33,33,33,31,29,28,29,31,31,32,34,35,34,32,29,27,26,28,30,32,33,33,32,32,28,28,27,27,28,30,31,32,33,34,35,34,33,32,33,35,34,36,38,39,39,38,36,35,30,29,27,26,26,27,28,29,28,29,30,32,34,36,37,38,32,25,19,20,28,43,65,84,97,102,100,87,71,59,48,41,40,37,33,27,21,19,20,22,26,28,30,30,27,23,21,21,24,28,34,41,46,49,50,50,46,43,37,32,27,24,23,23,24,26,29,31,32,32,31,30,36,37,40,42,41,39,36,33,34,33,31,29,26,24,22,20,20,20,19,18,17,16,15,15,15,16,17,20,23,26,29,30,32,32,31,31,31,32,32,33,34,35,37,38,37,35,32,30,26,23,20,18,17,18,20,21,19,19,19,19,20,21,21,22,22,21,20,19,19,19,19,19,22,22,24,25,25,26,26,25,23,23,21,20,18,18,18,18,17,17,17,16,15,13,12,11,8,8,8,8,8,8,8,8,8,8,7,7,7,6,6,6,6,6,6,7,7,7,8,8,9,9,9,9,9,9,9,9,8,8,8,8,8,8,8,8,8,8,7,6,6,5,4,4,5,5,5,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 5,6,6,6,7,7,7,7,10,9,10,10,11,13,14,15,18,18,19,20,21,23,25,26,30,31,32,33,33,33,33,33,34,34,34,33,31,28,26,24,21,20,18,16,14,13,13,12,12,12,13,13,14,14,14,15,13,13,12,13,14,16,19,20,22,25,29,31,32,33,35,37,38,39,40,41,41,40,39,38,36,35,33,30,29,28,29,29,26,26,26,26,25,24,24,23,21,22,21,20,20,23,28,32,40,43,46,49,50,49,46,45,39,40,42,47,55,69,83,93,104,105,105,99,89,77,67,62,58,61,66,72,75,74,69,64,56,50,43,38,36,38,40,41,46,46,49,52,54,53,49,45,35,29,23,23,24,26,33,41,48,49,50,49,47,46,46,48,53,56,61,66,70,73,73,74,74,69,65,65,69,83,107,127,142,146,142,124,100,77,56,42,35,36,37,37,37,41,49,55,66,75,83,83,79,73,65,57,45,36,29,30,37,50,68,83,96,97,93,81,69,61,53,46,46,47,48,49,50,50,49,49,47,43,40,37,37,37,36,35,30,29,28,27,28,31,37,42,55,62,72,78,77,69,58,51,33,27,24,29,34,35,35,37,32,31,30,33,38,44,48,49,46,45,41,36,31,29,29,31,29,30,30,29,28,28,29,31,32,33,35,35,35,33,31,29,29,30,31,32,32,31,29,28,28,29,29,30,31,31,31,32,32,33,35,35,35,36,39,41,41,43,44,45,43,39,35,32,28,28,26,26,26,28,29,30,29,29,30,31,33,35,37,39,33,26,21,22,29,44,68,88,109,114,113,98,78,61,47,39,35,34,31,26,21,19,20,22,26,28,30,30,27,24,22,21,26,30,36,43,48,52,54,55,53,49,43,36,30,24,21,19,20,21,22,24,26,27,27,28,35,38,41,44,44,42,39,36,34,34,32,30,27,24,21,20,19,18,18,17,16,16,15,15,16,16,17,19,22,24,27,28,31,31,30,29,28,28,29,29,30,31,32,32,31,29,26,24,22,21,20,19,20,20,22,23,20,20,19,19,19,20,21,22,21,21,20,20,20,20,21,22,23,24,25,26,27,27,27,26,24,24,22,21,20,20,20,20,19,19,19,18,16,14,13,12,10,10,10,9,9,9,8,8,7,7,7,7,6,6,6,5,5,6,6,6,7,7,7,7,8,8,8,8,8,8,8,8,7,7,8,8,8,8,9,9,8,8,7,6,6,5,4,4,5,5,5,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 5,5,6,6,6,7,7,7,9,9,10,10,12,13,15,16,18,18,18,20,21,23,25,26,31,31,32,33,33,33,33,32,33,33,33,32,30,27,24,23,20,19,17,15,14,13,12,12,13,13,13,14,14,14,14,15,13,12,12,12,14,17,20,22,25,28,31,33,33,33,34,35,36,36,37,38,38,37,36,35,34,33,30,27,24,22,21,21,21,21,21,22,22,23,23,24,22,24,24,24,24,27,33,38,45,48,51,53,53,51,47,45,37,37,37,39,46,59,73,83,95,96,96,92,84,75,70,68,70,75,82,90,92,87,79,72,57,51,44,41,41,43,44,44,45,43,41,41,41,41,39,37,34,28,23,24,26,28,34,42,48,49,51,51,51,52,55,57,60,62,66,69,71,71,70,69,68,62,56,54,57,72,98,121,143,148,144,126,100,75,53,39,33,36,39,40,39,42,49,56,67,76,83,82,77,72,64,57,47,38,30,30,38,52,72,88,108,112,110,99,84,72,61,52,49,50,51,52,51,50,48,46,41,38,34,32,33,34,33,31,26,28,29,29,31,35,43,48,59,65,73,76,73,63,52,45,30,23,20,26,33,36,37,40,36,33,31,32,36,40,43,44,41,41,37,32,25,22,23,26,26,28,29,28,28,28,31,33,35,36,36,36,35,34,32,31,34,34,35,35,34,33,31,29,31,32,34,35,35,34,32,31,33,34,36,37,39,41,45,49,52,53,54,52,48,41,34,30,29,28,27,27,27,28,30,31,31,31,30,30,31,32,34,35,31,26,22,23,29,43,66,86,106,113,112,97,75,57,44,35,31,31,30,27,23,21,22,23,26,28,31,30,28,25,23,22,28,30,35,41,47,52,55,57,55,53,48,42,35,29,24,22,20,20,20,21,23,25,27,29,35,37,42,45,45,43,40,37,33,33,32,30,27,24,21,19,17,17,16,16,16,16,16,16,17,18,18,19,21,23,25,26,29,28,26,25,23,23,23,23,25,26,28,28,28,26,24,22,22,23,23,23,24,23,23,23,21,20,19,18,18,18,19,20,20,20,20,20,21,22,23,24,26,26,27,28,28,28,27,27,25,24,23,22,21,21,21,21,21,21,20,19,17,15,14,12,12,11,11,11,10,10,9,9,7,7,7,6,6,6,5,5,5,5,6,6,6,7,7,7,8,8,8,8,8,8,8,8,7,7,7,8,8,9,9,9,8,8,7,6,6,5,4,4,5,5,5,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 5,5,5,6,6,7,7,7,9,9,10,11,12,14,15,16,18,18,18,19,21,23,25,26,31,31,32,33,33,33,32,32,33,33,33,32,29,26,23,22,20,19,17,15,13,12,12,12,13,14,14,14,14,14,15,15,13,13,12,13,15,18,22,24,27,30,33,34,33,33,33,34,34,35,35,35,35,35,34,33,33,31,28,24,21,18,17,16,19,19,19,20,21,23,25,25,27,28,30,29,29,33,40,45,49,51,54,56,55,52,48,46,39,37,35,34,39,49,63,72,82,85,86,83,78,74,73,74,78,84,93,100,102,95,84,76,56,51,45,43,45,48,49,49,46,42,37,34,34,34,33,32,35,29,25,26,28,29,35,41,47,49,51,52,53,56,59,62,64,66,69,71,71,69,66,64,61,54,47,44,46,61,89,113,143,148,144,125,98,71,49,34,32,36,40,41,40,42,49,55,64,73,80,78,73,68,61,55,48,39,31,30,38,52,73,91,116,121,121,110,95,80,66,56,51,52,53,53,52,49,46,45,37,33,30,29,31,32,31,29,28,30,33,35,37,42,49,55,58,64,70,72,66,56,45,38,28,21,18,24,32,36,39,41,39,36,34,33,36,40,42,42,40,40,36,29,22,18,19,21,25,27,28,28,28,29,32,34,38,38,38,37,35,34,32,31,38,38,39,39,38,36,34,33,33,35,37,39,39,36,33,31,34,36,38,40,42,45,50,54,61,62,61,58,51,42,34,28,30,30,28,27,28,29,30,31,34,33,31,30,29,29,30,31,29,24,21,23,28,41,63,83,95,103,104,90,70,53,41,33,28,29,29,28,25,23,23,24,26,29,31,31,28,25,23,23,28,30,34,39,45,50,55,57,56,54,51,46,40,33,29,26,22,21,20,20,22,25,28,30,34,37,41,45,45,43,39,37,32,32,31,30,27,24,20,18,15,15,16,16,16,16,16,16,19,19,19,20,21,22,24,25,26,25,23,21,20,19,18,18,22,23,25,26,26,26,24,23,24,25,26,27,27,25,24,23,21,20,18,17,16,16,17,18,20,20,20,21,22,24,25,26,28,28,29,29,29,28,28,27,26,25,24,23,22,22,22,22,22,22,21,20,18,16,14,13,13,12,12,11,11,10,10,10,7,7,7,6,6,5,5,5,5,5,5,6,6,7,7,7,8,8,8,8,8,8,8,8,7,7,7,8,8,9,9,9,8,8,7,6,6,5,4,4,5,5,5,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 7,7,7,8,8,9,9,9,10,10,11,12,14,15,16,17,19,19,21,22,24,26,27,28,27,28,29,30,30,30,30,30,30,29,28,26,24,21,19,17,17,16,14,13,12,12,13,14,16,15,14,13,13,13,14,14,14,14,14,15,17,20,23,25,30,31,32,32,32,30,29,27,26,27,29,30,30,29,28,27,28,27,24,21,18,16,14,14,16,17,20,22,25,26,27,28,31,31,30,31,35,40,45,48,58,59,61,62,59,53,48,44,35,32,29,29,33,42,51,57,65,69,73,71,67,66,69,73,84,94,103,105,103,97,84,73,62,55,50,52,59,63,62,59,54,46,36,28,26,28,30,32,29,29,29,29,31,33,36,38,41,44,48,51,54,57,62,65,66,67,66,63,59,56,56,56,49,45,40,35,35,49,80,108,135,143,142,123,95,68,47,34,35,40,44,44,41,40,45,50,56,61,67,68,63,57,53,52,40,37,35,33,35,47,73,96,121,129,131,121,104,86,69,56,53,51,50,50,49,47,43,39,36,31,26,25,28,31,33,33,32,34,37,42,46,51,54,56,60,56,52,52,52,49,41,35,28,24,22,24,31,39,44,46,46,46,46,45,43,44,46,49,46,41,34,27,21,18,18,18,23,25,27,28,29,32,35,38,38,39,39,38,35,33,33,34,38,41,42,40,35,31,30,31,35,39,44,47,47,43,38,34,35,34,36,42,47,53,63,73,77,76,71,63,51,39,31,27,26,26,26,25,25,26,30,34,36,35,32,28,25,25,28,31,25,22,20,19,25,37,51,62,79,81,79,69,54,40,32,30,29,32,33,32,29,27,27,29,26,27,27,27,27,26,25,24,29,31,33,35,37,41,45,49,53,53,52,50,46,41,36,33,28,27,26,25,25,26,27,28,38,40,42,44,43,39,35,32,31,31,31,30,27,24,21,19,17,17,16,15,15,16,16,17,20,20,20,20,20,20,20,20,20,20,18,17,17,19,20,21,21,23,25,25,25,25,27,28,30,34,36,34,34,34,31,26,24,22,19,16,15,15,16,17,16,15,16,17,19,22,25,26,29,30,32,33,32,31,28,27,26,26,24,23,22,21,21,21,21,20,19,19,18,17,16,16,17,16,15,13,12,11,10,10,9,9,9,8,8,7,7,7,7,7,7,6,6,5,5,5,7,7,7,6,6,5,5,5,8,8,8,8,8,8,8,8,8,8,8,7,7,6,6,6,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 7,7,7,8,8,8,9,9,9,10,11,12,13,15,16,16,18,19,20,22,23,25,26,27,26,27,28,29,29,29,29,29,28,27,26,25,23,20,18,17,17,16,14,13,13,14,15,15,16,16,14,13,13,13,13,13,14,14,15,16,18,21,24,26,30,31,31,30,29,27,25,24,23,25,26,28,28,28,27,26,26,25,22,19,17,15,14,14,18,20,22,25,27,29,30,31,34,34,35,37,40,44,48,51,59,60,62,61,58,52,46,42,33,30,27,26,30,37,45,50,53,57,61,61,59,60,65,69,82,92,101,103,101,94,82,70,58,55,54,60,69,75,75,71,57,49,36,27,24,25,28,30,31,32,32,33,34,35,36,36,37,40,44,47,50,55,61,65,65,65,64,61,56,54,54,55,49,45,39,33,33,47,76,103,130,138,138,121,94,69,49,37,40,44,49,47,43,41,44,48,54,59,63,63,57,50,46,45,38,35,33,32,33,45,69,92,117,127,131,124,108,91,73,60,50,48,46,45,44,42,39,36,35,31,27,26,29,31,32,32,35,37,41,45,49,52,54,55,54,49,45,44,45,44,40,35,31,27,24,25,32,39,45,48,51,51,51,48,46,45,47,49,45,41,34,27,22,20,19,20,24,26,28,29,31,33,37,40,41,41,39,36,32,30,31,32,37,40,43,41,36,32,30,31,36,40,45,49,49,45,40,36,36,34,36,42,49,56,68,79,86,84,79,69,55,42,32,28,24,25,24,23,23,25,29,32,37,36,34,30,27,25,26,28,24,22,20,18,22,31,43,51,67,69,68,61,48,37,31,30,32,35,36,34,30,27,26,27,25,25,26,26,26,26,26,25,28,30,31,32,33,36,40,43,47,48,49,49,47,44,40,37,33,32,30,28,27,28,29,30,36,38,40,42,41,39,35,32,31,31,31,30,27,24,22,20,19,18,17,16,15,15,16,16,19,20,20,21,21,21,20,19,20,19,18,17,17,18,20,21,23,25,28,29,30,32,34,37,39,44,46,43,41,41,36,30,25,23,20,17,15,15,16,16,16,15,16,17,18,21,23,25,27,29,30,32,32,31,29,28,27,26,24,23,21,20,20,20,20,20,19,18,17,16,16,15,17,16,14,13,11,11,10,10,9,9,9,8,8,8,7,7,7,7,7,6,6,6,5,5,7,7,7,6,6,5,5,5,8,8,8,8,8,8,8,8,8,8,7,7,7,6,6,6,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 7,7,7,7,8,8,8,9,9,10,11,12,13,14,15,15,17,18,19,20,22,23,24,25,25,25,26,27,28,27,27,27,25,25,24,23,21,19,16,15,16,16,15,15,15,16,17,17,17,16,15,13,12,12,12,12,14,14,15,17,20,23,25,27,30,29,29,27,25,23,20,19,19,20,23,24,26,26,25,25,24,22,20,17,16,15,15,15,21,23,25,28,31,32,33,34,37,38,40,43,46,49,52,53,59,59,60,59,55,48,42,38,30,28,24,23,25,31,37,42,42,45,49,50,51,55,61,66,78,88,96,98,95,89,77,65,56,56,61,70,81,87,85,81,65,54,40,28,23,24,27,30,33,35,37,38,38,36,34,33,33,34,37,40,44,51,58,64,63,63,61,57,53,51,52,53,51,46,39,33,32,44,71,96,123,131,133,118,94,71,53,42,47,52,56,53,47,43,44,46,53,57,59,57,50,42,38,37,35,32,30,30,31,41,63,83,108,119,127,122,109,92,73,60,49,46,43,41,40,38,36,34,33,31,28,28,29,31,31,30,36,39,43,48,51,52,53,52,46,41,35,34,36,39,39,38,37,33,29,29,34,41,48,52,58,57,56,53,48,46,46,47,43,39,33,28,24,22,22,22,26,27,29,31,32,35,40,43,45,43,39,34,28,26,27,29,37,41,44,43,38,33,31,31,37,41,47,51,51,47,42,38,37,34,35,42,49,59,73,86,95,93,87,75,59,43,31,26,22,22,21,20,20,23,27,31,39,39,38,35,29,25,23,23,23,22,20,18,18,24,31,37,51,53,54,50,43,36,33,33,38,39,39,37,32,27,25,24,23,23,24,24,25,26,26,27,28,29,30,29,29,29,32,34,38,40,44,47,47,45,42,40,37,35,33,30,29,29,31,32,34,36,39,40,40,38,35,33,31,32,32,31,29,26,23,22,21,20,18,16,15,15,15,16,18,20,22,23,23,21,19,18,19,18,17,16,17,19,20,21,25,28,32,36,38,42,46,49,50,55,57,54,50,47,41,34,27,25,21,18,15,14,15,15,15,15,15,16,17,19,21,22,25,26,28,30,31,30,30,29,27,26,24,22,20,19,18,18,19,19,18,18,17,16,16,15,16,15,14,12,11,11,10,11,9,9,9,9,8,8,8,7,7,7,7,7,6,6,6,5,7,7,7,6,6,5,5,5,8,8,8,8,8,8,8,8,8,7,7,7,6,6,6,6,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 6,6,7,7,7,8,8,8,9,9,10,11,12,13,13,14,16,16,17,18,20,21,22,22,23,24,24,25,25,25,24,24,22,21,21,20,19,17,15,14,16,16,16,16,17,18,18,19,17,16,15,13,12,11,11,11,14,15,16,19,21,24,26,27,28,27,25,23,21,18,16,15,15,17,19,21,23,23,23,23,21,19,17,15,15,16,17,18,25,26,28,31,33,35,35,36,38,40,43,46,49,51,51,52,54,55,55,53,48,42,36,32,29,27,24,22,23,27,32,36,38,40,43,46,48,53,59,64,72,80,88,89,86,81,70,59,57,60,67,78,88,91,87,82,70,60,44,32,27,27,30,32,34,36,39,40,39,36,33,30,30,31,32,34,38,46,55,61,62,62,59,55,51,50,51,52,54,49,42,36,34,44,68,90,114,123,126,113,93,74,60,51,58,62,65,61,52,46,45,47,54,57,58,54,46,38,33,32,32,29,28,28,30,38,56,74,95,107,116,113,101,85,68,56,50,46,42,38,37,36,34,32,30,29,28,28,29,29,29,29,34,37,42,46,49,50,49,48,40,35,29,27,31,37,43,46,46,43,38,36,39,45,52,57,62,61,59,54,48,44,42,42,39,36,32,28,25,24,25,25,28,29,31,31,33,36,41,45,48,45,39,31,25,23,25,28,37,41,45,44,38,33,30,30,36,41,47,51,52,49,44,41,37,34,34,39,48,59,74,88,99,96,89,76,59,42,29,22,19,20,19,18,19,22,28,32,42,43,43,39,33,26,21,19,21,21,20,19,18,20,25,28,39,42,45,45,43,40,39,39,43,43,41,38,32,27,23,21,21,21,22,22,24,25,27,27,29,30,30,29,27,25,26,28,31,34,39,43,44,43,40,38,35,34,32,30,30,31,32,34,34,35,38,40,40,39,36,35,32,33,33,33,31,29,27,25,22,20,17,15,14,14,15,16,20,22,24,25,25,22,19,17,18,17,16,16,17,19,21,23,27,31,37,42,46,51,57,60,60,64,65,61,56,52,44,36,30,27,23,19,16,14,14,15,14,14,15,15,16,17,18,18,22,23,25,27,28,29,29,29,27,26,24,21,19,17,16,16,18,18,17,17,16,16,15,15,15,15,13,12,11,11,11,11,10,10,9,9,9,8,8,8,8,8,7,7,7,6,6,6,7,7,7,6,6,5,5,5,7,7,7,7,7,7,7,7,7,7,7,6,6,6,5,5,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 6,6,6,7,7,7,8,8,9,9,10,10,11,12,12,12,14,15,15,16,18,19,19,20,21,22,22,23,23,22,21,21,19,19,19,18,17,16,15,14,15,16,17,17,18,18,19,19,16,15,14,12,11,11,11,11,15,16,17,19,22,23,24,25,25,23,21,19,17,15,13,12,14,15,17,20,21,22,21,21,19,18,16,15,16,18,20,22,28,29,31,33,35,35,36,36,37,38,41,44,46,47,46,46,46,47,46,44,40,35,30,27,28,27,25,24,25,28,31,34,39,40,43,45,48,52,56,59,65,72,78,78,76,72,63,54,58,63,71,82,90,91,86,81,68,58,45,35,30,31,33,34,35,36,38,39,39,36,33,31,31,31,31,32,35,41,50,56,61,61,59,55,51,49,50,51,56,51,45,40,37,45,64,83,104,113,117,108,92,79,70,65,73,76,76,68,57,48,46,47,54,58,59,56,47,38,33,31,30,27,27,28,29,35,50,64,84,95,102,99,88,76,63,52,49,46,41,37,35,33,31,29,28,28,28,28,28,28,30,31,31,34,38,42,44,44,43,42,37,32,28,27,31,40,49,54,55,52,48,45,46,50,57,61,63,62,59,53,46,39,36,35,35,33,30,28,26,26,27,28,30,30,31,31,32,35,40,44,47,44,38,30,24,23,26,28,39,43,45,43,37,31,29,29,33,38,45,50,52,51,47,43,38,34,32,37,44,54,70,83,96,94,88,76,59,42,28,21,18,18,18,18,19,24,31,37,47,48,48,44,36,28,21,18,20,21,21,21,20,21,23,26,34,39,44,48,49,49,48,47,47,44,40,36,31,26,22,19,20,20,20,20,22,24,26,27,32,33,33,31,28,25,25,26,28,30,34,37,37,36,33,31,30,30,29,30,31,33,34,35,35,36,38,39,39,38,37,36,33,34,34,34,33,31,29,28,21,19,16,14,14,15,17,18,24,26,27,28,27,23,19,17,17,17,17,17,18,21,23,25,29,33,39,45,50,56,62,66,66,70,70,65,60,55,47,40,31,28,24,20,16,15,15,15,15,15,15,16,16,16,15,15,19,20,22,23,25,26,27,27,26,25,22,20,17,16,15,14,16,16,16,16,15,15,15,15,14,14,12,11,11,10,11,11,10,10,10,9,9,9,8,8,8,8,8,7,7,7,6,6,7,7,7,6,6,5,5,5,7,7,7,7,7,7,7,7,7,7,6,6,6,5,5,5,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 5,6,6,6,7,7,7,7,9,9,9,10,10,11,11,11,13,13,14,15,16,16,17,17,19,20,20,20,20,19,18,18,17,17,17,17,17,16,15,14,16,16,17,18,18,18,17,17,14,13,13,12,11,12,12,12,15,16,18,20,21,22,22,22,20,19,17,16,14,13,13,13,14,16,18,20,21,21,20,20,19,18,17,16,18,21,25,28,33,34,35,36,37,37,36,36,35,36,38,39,40,39,38,38,37,37,37,36,33,29,26,23,27,26,26,26,28,30,33,35,40,42,44,47,49,52,54,55,60,65,69,68,66,65,60,53,57,62,70,79,85,85,81,77,59,52,44,38,36,36,37,37,36,37,37,37,37,37,36,36,36,35,34,33,34,38,45,50,58,59,58,56,51,48,48,48,53,49,44,41,39,44,59,74,91,101,107,101,92,86,85,84,93,93,88,76,61,49,45,45,52,56,60,57,49,39,33,30,30,27,27,29,30,34,46,57,74,82,86,81,73,66,59,53,49,46,41,38,35,33,29,27,28,28,29,28,28,30,33,36,34,36,38,39,40,39,37,36,33,30,28,29,34,43,53,59,60,59,56,53,51,54,59,63,61,60,57,51,42,34,30,28,30,29,27,26,26,27,28,29,31,31,31,30,30,33,38,42,44,42,37,30,26,25,28,32,42,44,45,41,34,28,26,27,30,36,43,50,54,53,50,48,41,36,33,35,40,48,61,74,88,87,83,74,59,43,31,25,18,18,18,19,22,29,37,44,52,53,52,48,40,30,23,19,21,22,23,23,22,22,25,27,36,41,48,55,58,57,55,53,48,43,37,31,28,24,21,19,19,19,18,19,20,23,25,26,34,35,36,34,30,28,27,27,28,29,31,31,31,29,27,25,27,28,31,33,35,36,37,37,35,36,37,38,37,36,35,34,32,32,33,34,33,32,30,29,20,19,17,15,16,19,22,25,31,31,31,30,27,24,20,17,18,17,17,18,20,23,25,27,31,34,40,45,50,55,61,65,68,71,69,63,58,55,48,42,31,29,25,20,17,16,16,16,18,18,19,19,18,17,16,15,17,17,18,20,21,22,23,24,24,23,21,18,16,15,14,14,15,15,15,15,15,15,15,15,13,13,12,11,10,10,11,11,11,10,10,10,9,9,9,9,9,8,8,8,7,7,7,7,7,7,7,6,6,5,5,5,6,6,6,6,6,6,6,6,6,6,6,6,5,5,5,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 5,5,6,6,6,7,7,7,8,9,9,9,9,10,10,10,12,12,13,13,14,15,15,16,18,18,19,19,18,17,16,16,16,16,17,17,17,16,15,14,16,16,17,18,18,17,15,14,12,12,11,11,11,12,13,14,16,17,18,20,20,20,19,18,16,15,14,13,13,14,14,15,16,18,19,21,21,21,20,19,20,19,18,18,20,25,29,33,39,40,40,40,39,38,37,37,34,34,34,34,33,32,31,31,30,30,31,31,29,27,24,23,25,25,26,27,30,33,36,38,42,44,47,51,54,56,56,55,58,62,63,61,61,62,60,56,57,60,65,69,72,70,66,62,51,49,46,45,45,46,45,43,39,38,36,35,36,39,42,44,42,41,39,36,34,36,41,44,54,56,57,55,51,47,44,44,46,43,40,39,38,40,51,63,77,88,96,95,92,95,101,104,113,110,100,83,62,47,41,40,47,52,58,57,49,39,32,28,30,28,28,30,32,34,43,53,61,66,67,61,56,56,56,55,53,50,47,44,41,37,33,29,30,31,31,30,30,33,39,44,43,43,42,40,38,35,32,31,28,28,28,30,36,44,54,60,62,62,61,58,55,55,58,62,59,59,56,49,39,31,25,23,26,25,25,25,26,27,29,30,32,31,30,28,27,29,34,38,39,38,35,31,28,29,32,36,45,46,44,38,30,25,24,25,29,35,43,52,56,57,55,53,45,40,36,36,38,42,53,64,75,76,74,67,56,42,32,26,18,19,20,22,26,34,44,51,56,57,56,51,42,33,26,22,23,24,25,24,23,23,25,27,39,44,53,61,64,63,58,53,47,40,32,26,24,23,21,20,20,19,18,18,19,21,23,25,34,36,37,36,33,30,29,29,30,30,29,28,27,25,24,23,30,33,37,40,42,41,39,38,34,34,35,35,34,33,31,30,28,29,30,31,31,29,28,27,21,20,18,18,21,25,30,33,38,37,35,32,28,24,20,18,18,18,18,20,22,25,28,29,31,35,40,44,47,52,56,60,62,64,61,55,50,48,44,38,31,29,25,21,18,17,17,17,23,24,24,24,23,21,19,18,15,15,16,16,17,19,20,21,22,21,19,17,16,15,15,15,14,14,14,14,14,14,14,14,13,12,11,10,10,10,11,11,11,11,10,10,10,9,9,9,9,9,8,8,8,7,7,7,7,7,7,6,6,5,5,5,6,6,6,6,6,6,6,6,6,6,6,5,5,5,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 5,5,5,6,6,7,7,7,8,8,9,9,9,9,9,10,11,11,12,12,13,14,14,15,17,18,18,18,17,16,15,15,15,16,16,17,17,16,15,15,16,17,17,18,17,16,14,13,11,11,11,11,12,13,14,15,17,17,19,19,19,18,17,16,14,13,12,12,13,14,16,17,18,19,21,22,22,21,20,19,21,20,19,19,22,27,32,36,43,43,43,43,42,40,39,38,33,33,32,31,29,28,27,27,26,27,28,28,28,26,25,23,23,24,25,28,31,34,37,39,45,47,51,56,60,61,60,58,58,61,61,58,58,61,61,58,58,59,60,60,58,54,49,46,49,49,50,52,54,55,53,50,41,39,36,34,36,40,46,49,46,45,42,39,36,35,38,41,51,53,55,54,50,45,42,40,40,37,37,37,35,36,45,56,68,80,89,91,93,101,112,118,126,121,108,87,62,45,37,36,42,48,55,56,48,38,30,26,31,29,29,32,33,35,42,51,50,53,52,46,43,48,53,56,58,56,53,51,48,43,38,34,32,33,33,32,32,36,43,49,52,50,47,42,37,33,30,28,24,25,27,31,36,44,53,59,62,63,63,60,56,55,57,60,59,58,55,48,38,29,24,21,23,23,23,24,26,27,29,30,32,31,29,26,25,27,32,36,36,36,34,32,30,31,35,38,47,47,44,37,28,22,22,24,29,35,44,53,58,60,58,57,49,43,38,37,37,39,48,57,64,65,65,61,51,39,30,25,19,20,21,23,28,37,48,55,58,59,57,52,43,34,28,24,25,26,26,24,22,22,24,26,40,46,55,64,68,65,58,52,46,38,29,23,21,22,22,21,20,19,18,17,18,20,23,24,33,35,37,36,34,31,30,30,31,30,28,26,25,24,24,24,34,38,42,46,47,45,41,39,33,33,33,32,31,30,28,27,25,26,28,28,28,27,26,25,22,21,20,21,24,30,35,39,42,40,37,33,28,24,21,19,19,19,19,20,23,26,29,31,31,35,39,42,45,49,53,56,54,55,52,46,41,40,38,33,31,28,25,21,18,18,18,18,27,28,28,28,26,24,22,21,14,14,14,14,15,16,18,18,20,19,18,17,16,15,15,15,14,14,14,14,14,14,14,14,12,12,11,10,10,10,11,11,11,11,11,10,10,9,9,9,9,9,9,8,8,7,7,7,7,7,7,6,6,5,5,5,6,6,6,6,6,6,6,6,6,6,6,5,5,4,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 5,5,5,6,6,7,7,7,8,8,8,8,8,8,8,8,9,9,9,10,10,11,11,11,15,15,16,16,16,15,14,14,14,15,16,17,17,17,17,16,15,16,16,16,16,15,14,13,9,9,10,11,11,12,13,13,16,17,18,18,18,16,14,13,11,11,12,13,15,17,19,20,21,22,24,24,23,20,17,15,20,20,20,23,28,34,41,44,47,46,46,46,46,43,39,35,31,28,24,22,23,24,24,24,26,26,26,27,27,29,30,31,26,27,29,32,36,39,41,42,51,50,51,54,57,58,58,56,59,56,53,54,57,59,58,56,57,56,53,49,43,40,40,41,42,52,63,69,71,69,61,52,43,35,30,32,36,42,49,57,57,59,57,49,40,35,35,38,46,49,51,49,44,38,33,31,33,31,28,25,26,30,38,44,56,65,77,88,99,113,129,141,147,141,125,99,69,45,31,27,35,43,52,54,49,42,38,36,34,35,35,34,34,35,38,41,43,42,39,36,34,39,48,56,65,65,64,59,52,44,39,37,35,35,35,36,39,45,53,59,63,60,55,48,41,35,30,27,27,26,26,27,32,40,47,52,58,59,59,58,56,54,55,56,54,57,56,49,43,39,34,28,28,21,18,22,26,27,28,30,31,30,27,26,25,26,27,28,30,33,35,35,34,36,41,45,44,45,43,35,25,20,20,23,33,39,48,57,61,61,59,56,51,46,40,35,34,38,43,47,55,55,55,52,47,40,32,28,24,22,21,24,32,42,51,55,60,61,60,54,44,34,27,25,27,27,26,26,26,27,28,28,39,45,54,63,67,64,56,49,38,34,28,24,23,23,22,22,25,23,21,19,19,20,23,25,31,32,33,34,34,33,31,30,27,27,27,25,24,25,29,32,35,45,55,57,56,53,47,40,36,32,26,23,21,21,21,21,21,22,25,27,28,28,28,28,23,23,24,27,32,37,43,46,48,45,41,36,29,24,19,17,19,20,22,23,25,25,26,26,31,34,37,40,42,41,39,38,37,36,36,34,33,32,31,31,29,27,23,21,19,20,22,23,25,27,30,32,31,27,23,20,18,17,15,13,14,15,17,19,18,18,17,17,17,16,16,15,13,13,12,11,11,12,12,13,13,13,13,12,12,11,11,11,9,9,9,9,9,9,9,9,8,9,9,10,10,9,9,8,7,7,7,6,6,5,5,5,5,5,5,5,5,5,5,5,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 5,5,5,6,6,6,7,7,8,8,8,8,8,8,8,8,9,9,9,10,10,10,11,11,14,15,15,16,16,15,14,14,14,15,16,16,17,17,16,16,15,15,16,15,15,14,13,12,9,9,10,11,12,12,13,13,16,16,17,17,16,15,13,12,12,12,13,14,16,19,20,21,23,23,23,23,22,21,19,18,21,22,23,26,31,36,41,44,45,44,44,44,44,41,37,33,28,25,21,20,21,23,24,23,26,26,27,28,29,30,31,32,27,28,30,33,35,38,41,42,48,48,49,52,56,58,57,56,58,55,53,53,55,56,56,54,52,51,47,42,38,36,38,40,47,58,71,77,80,77,68,58,46,38,32,35,40,47,55,63,63,63,61,53,43,37,36,39,43,46,47,45,40,34,30,28,29,28,27,25,26,29,35,40,50,59,72,86,100,118,138,152,153,147,131,104,73,47,32,27,34,42,50,53,49,43,40,39,38,38,37,35,34,34,37,40,38,38,36,33,32,38,48,57,67,67,65,60,53,46,42,41,40,41,41,42,45,52,61,67,72,68,61,52,43,34,27,23,25,24,23,25,29,35,42,46,53,54,55,54,52,51,52,53,57,62,64,60,56,51,45,38,32,24,19,21,25,27,28,31,32,31,29,27,26,26,27,27,29,31,33,33,34,36,41,45,44,44,41,33,24,19,20,23,34,39,47,55,58,57,54,51,46,43,38,34,34,37,41,45,49,50,50,48,44,38,32,28,25,23,22,25,33,42,50,54,58,59,57,51,42,33,28,26,27,27,27,27,28,29,29,30,37,42,50,58,62,59,52,46,38,34,29,25,24,25,24,24,26,24,22,20,20,21,23,24,29,30,32,33,33,32,31,30,28,27,26,24,23,25,30,34,39,50,59,62,60,56,48,40,32,28,23,20,19,20,20,20,22,23,25,27,28,28,28,27,25,25,27,29,34,40,45,48,49,46,41,35,28,23,19,16,19,20,22,24,25,26,27,27,28,30,33,36,37,36,34,32,31,30,30,30,29,29,28,28,28,26,23,20,19,20,22,23,27,29,31,33,32,29,25,22,19,17,15,14,14,15,18,19,18,18,18,17,17,16,15,15,13,13,12,11,11,11,12,12,13,13,12,12,12,11,11,11,8,8,8,8,8,8,8,8,8,9,9,10,10,9,9,8,7,7,7,6,6,5,5,5,5,5,5,5,5,5,5,5,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 5,5,5,5,6,6,6,7,8,8,8,8,8,8,8,8,9,9,9,9,10,10,10,11,13,14,14,15,15,15,14,14,14,14,15,16,17,17,16,16,15,15,15,14,13,12,11,10,9,10,10,11,12,13,13,13,16,16,16,15,15,13,12,11,13,14,15,17,19,21,23,24,25,24,23,22,22,21,21,21,24,25,27,31,34,38,41,42,42,42,41,41,40,38,33,29,23,21,18,17,19,22,23,23,27,27,28,29,31,32,33,34,30,30,31,33,35,37,39,40,44,44,45,49,54,56,57,56,57,54,51,50,51,52,52,51,47,45,41,35,32,32,36,40,52,65,79,87,89,85,73,62,46,38,33,36,43,51,61,70,70,70,66,58,48,40,38,39,40,41,42,39,35,30,27,27,26,27,28,28,28,30,33,36,42,51,64,78,95,117,140,157,166,160,144,117,84,56,39,33,33,40,48,51,49,45,43,43,44,43,40,36,33,33,36,38,35,35,33,31,31,37,47,56,68,67,64,59,53,48,46,46,46,47,47,48,52,58,67,73,77,73,65,55,44,34,26,22,22,21,21,21,25,29,34,38,45,47,48,48,47,46,48,49,58,66,73,74,73,68,59,49,38,28,21,21,25,26,29,33,34,33,32,31,29,28,27,27,27,29,31,32,34,37,42,46,44,43,38,30,23,20,22,25,36,40,46,50,52,50,46,43,39,37,34,32,32,35,38,40,40,41,42,42,40,36,31,28,27,25,24,27,34,42,48,51,55,54,51,45,37,31,28,27,26,26,27,28,29,31,32,32,35,39,45,51,54,53,47,42,38,34,30,27,27,28,27,27,27,26,24,22,22,22,23,24,27,28,29,30,31,31,31,31,29,28,26,23,23,26,31,36,44,55,64,66,63,57,48,39,26,23,19,17,18,20,22,22,25,26,28,29,29,29,28,27,28,28,29,32,36,42,47,50,49,46,40,33,26,21,17,16,18,19,21,23,25,26,27,27,25,26,28,30,30,28,26,25,22,22,22,23,23,24,24,24,26,24,21,19,18,19,21,22,28,29,31,33,32,29,26,24,20,18,16,15,15,16,18,19,19,20,20,19,18,17,16,15,14,13,12,11,11,11,11,11,13,12,12,12,11,11,11,11,8,8,8,8,8,8,8,8,8,8,9,9,9,9,8,8,7,7,7,6,6,5,5,5,5,5,5,5,5,5,5,5,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 4,4,5,5,5,6,6,6,7,7,7,7,7,7,7,7,8,8,9,9,9,10,10,10,12,12,13,14,14,14,14,13,13,14,15,16,16,16,16,15,14,14,14,13,12,11,9,8,10,10,11,11,12,13,14,14,15,15,14,14,13,12,11,11,15,16,18,20,22,24,25,25,26,25,23,21,21,22,24,25,26,28,31,34,37,38,39,39,39,38,37,37,37,34,29,26,21,19,16,17,19,22,24,25,27,28,30,32,33,35,36,36,32,32,32,32,33,34,36,37,38,38,40,45,50,54,54,54,53,51,48,46,45,46,47,47,45,43,38,34,31,33,38,42,57,70,84,91,92,86,72,60,44,36,32,36,44,52,63,72,76,75,70,62,52,44,40,39,38,39,38,35,31,28,27,27,28,31,34,35,35,33,33,34,37,45,56,69,85,107,132,150,170,165,151,125,92,63,45,37,34,39,46,49,49,47,47,47,48,46,42,37,33,32,35,38,38,38,36,32,31,35,45,52,63,63,60,56,52,50,51,53,51,52,51,52,54,60,68,73,73,69,62,53,43,34,28,24,21,20,20,20,22,25,29,31,38,40,42,42,42,42,44,45,57,68,79,86,88,83,71,59,44,33,23,21,24,26,30,35,37,37,37,36,35,32,29,28,27,28,30,32,36,40,44,47,45,42,37,30,24,23,26,29,36,38,42,45,45,42,38,35,31,31,30,29,30,31,32,33,33,34,36,37,37,34,32,30,28,26,26,28,34,41,45,47,47,45,41,36,31,28,26,25,23,24,26,28,30,32,33,34,36,37,40,44,47,46,43,39,38,34,31,29,30,30,30,29,28,28,26,25,24,23,23,23,25,25,27,28,29,30,31,31,31,29,26,23,22,26,33,38,47,57,66,67,63,56,45,36,22,20,17,17,20,24,26,27,30,31,32,32,32,30,28,27,29,29,29,32,36,41,46,49,47,43,37,30,23,19,16,15,17,18,20,22,23,24,25,25,23,23,24,25,24,22,20,19,15,16,17,18,19,20,21,22,22,21,19,18,18,19,20,21,26,28,30,31,30,28,25,24,21,19,17,15,15,16,18,19,21,22,22,22,22,20,18,17,16,15,13,12,11,10,10,11,12,12,12,11,11,11,10,10,7,7,7,7,7,7,7,7,7,8,9,9,9,9,8,7,7,7,7,6,6,5,5,5,5,5,5,5,5,5,5,5,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 4,4,4,5,5,5,6,6,7,7,7,7,7,7,7,7,8,8,8,9,9,9,10,10,10,11,12,13,14,14,13,13,13,14,15,15,16,16,15,15,13,13,13,13,12,11,9,8,10,10,11,12,13,13,14,14,14,14,13,13,12,12,12,12,17,18,20,22,24,25,25,25,25,24,22,20,20,22,25,27,27,29,32,34,36,36,35,35,34,33,33,34,34,31,27,23,21,18,17,17,21,24,26,27,27,29,31,34,36,38,38,39,33,32,30,29,29,30,32,33,32,32,35,40,45,49,50,50,47,46,43,40,39,39,41,43,45,44,41,38,36,38,42,46,61,73,85,91,90,82,68,55,43,37,34,39,47,55,64,73,76,74,70,63,54,47,42,40,39,38,36,33,29,27,28,30,34,38,43,44,43,39,36,35,33,40,49,59,74,96,121,138,159,156,145,122,92,65,47,39,35,39,43,46,47,47,48,48,49,47,42,36,32,33,37,41,46,46,43,38,34,35,40,46,54,54,54,53,52,54,59,62,62,61,58,56,56,59,65,70,67,64,58,50,41,33,27,24,23,23,23,23,24,26,27,28,35,37,39,39,39,39,41,43,57,69,83,93,98,94,81,67,47,35,24,22,24,26,31,36,40,41,42,43,41,37,33,30,28,29,30,33,37,42,46,48,45,42,37,31,27,27,30,33,34,36,39,40,40,37,34,32,29,29,28,28,28,27,27,27,28,30,32,34,34,33,32,31,27,26,26,28,33,37,40,41,39,36,32,28,25,24,23,23,20,22,25,28,31,33,35,35,37,37,37,38,40,41,39,37,38,35,32,31,32,32,32,31,30,30,29,28,27,25,23,23,23,23,24,26,28,30,32,33,33,31,28,24,23,26,32,37,46,55,63,63,58,50,40,30,21,19,18,20,25,31,35,36,39,39,39,38,36,32,30,28,27,27,27,29,32,36,40,43,41,39,34,28,23,19,16,15,16,17,19,20,21,22,22,22,22,23,23,23,21,19,17,16,13,14,15,16,17,18,19,20,19,18,17,17,17,18,19,20,23,24,26,27,27,25,23,22,21,19,17,15,14,15,17,18,23,24,25,26,25,24,22,21,18,17,15,13,12,11,11,11,12,12,11,11,11,10,10,10,7,7,7,7,7,7,7,7,7,7,8,9,9,8,7,7,7,7,7,6,6,5,5,5,5,5,5,5,5,5,5,5,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 3,4,4,4,5,5,5,5,6,6,6,6,6,6,6,6,7,8,8,8,9,9,9,9,9,10,11,12,13,13,13,13,13,13,14,15,15,15,15,15,12,12,13,13,13,12,11,10,11,11,11,12,13,14,14,15,13,12,12,12,12,13,14,15,19,20,22,24,25,25,24,23,23,22,21,20,20,22,25,27,28,29,30,32,32,32,31,30,30,29,30,31,32,30,26,23,21,19,17,18,21,25,27,28,27,29,33,36,39,41,41,41,33,31,28,25,24,25,26,27,26,27,29,34,40,44,45,45,41,40,38,35,32,33,36,40,45,45,45,44,43,43,45,47,61,71,81,85,83,76,64,52,44,39,37,43,51,57,64,71,70,68,65,60,54,48,43,40,40,39,35,31,28,27,30,33,41,45,50,51,48,42,37,34,30,35,42,50,62,82,105,122,141,140,134,117,91,67,50,43,36,37,39,40,42,43,44,44,47,44,39,34,31,34,40,45,53,53,51,45,38,35,36,39,45,47,50,53,57,63,70,75,76,74,69,63,58,58,61,64,64,61,55,48,41,34,28,25,29,29,29,30,30,31,31,31,35,37,39,39,39,39,41,43,56,68,83,94,101,98,84,69,48,36,25,22,24,27,32,37,39,42,45,47,45,41,35,32,29,28,29,32,37,42,45,46,44,41,37,32,30,31,33,34,34,36,38,39,39,38,36,35,33,32,31,29,28,26,25,24,26,27,29,31,31,31,31,30,26,25,24,27,30,33,34,34,31,28,24,23,23,23,22,21,19,21,25,30,34,36,37,38,39,36,33,33,34,36,36,36,38,36,33,32,33,33,32,30,31,32,32,31,29,26,24,22,22,22,23,25,28,31,33,35,35,33,30,26,24,26,31,35,43,52,58,56,50,43,34,25,21,20,20,24,31,38,44,46,49,49,47,44,40,35,31,29,26,25,25,25,27,30,33,35,36,35,32,29,26,22,20,18,18,18,19,20,21,21,20,20,23,23,22,21,20,19,17,16,15,15,15,16,16,17,17,17,16,16,15,16,16,17,18,19,21,21,23,24,23,22,21,20,20,18,16,14,13,14,15,16,22,23,26,27,28,27,25,23,21,20,18,15,14,12,12,11,11,11,11,11,10,10,10,9,8,8,8,8,8,8,8,8,7,7,8,8,8,8,7,7,7,7,7,6,6,5,5,5,5,5,5,5,5,5,5,5,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 3,3,4,4,4,5,5,5,6,6,6,6,6,6,6,6,7,7,8,8,8,9,9,9,8,9,10,12,13,13,13,13,12,13,14,15,15,15,15,14,11,12,12,13,14,13,13,13,11,11,12,12,13,14,15,15,12,12,11,12,13,15,17,18,21,22,24,25,25,24,22,21,21,20,20,20,21,22,24,25,27,27,28,28,27,27,26,25,26,26,27,29,31,30,27,24,22,19,17,18,21,24,26,27,28,30,34,38,41,43,43,43,32,29,25,22,20,20,21,22,22,23,25,30,36,39,40,40,35,34,33,29,27,28,33,37,42,45,48,49,47,45,44,44,54,63,71,73,72,68,59,49,43,39,39,45,51,55,60,66,62,61,59,56,53,48,44,41,40,38,34,29,26,27,31,35,45,49,53,54,49,42,36,32,28,32,36,40,47,62,82,96,115,117,115,103,83,62,48,42,35,34,33,34,35,37,38,38,43,40,35,31,30,35,43,49,56,58,57,51,42,36,33,34,39,43,50,57,66,75,84,90,89,85,77,67,59,54,55,56,58,57,53,49,44,40,36,35,34,35,36,37,38,37,37,36,38,40,41,41,40,40,42,43,51,62,75,87,94,93,79,65,47,35,25,22,24,27,32,37,37,40,45,48,47,42,36,32,28,27,26,29,35,40,42,43,42,39,35,33,32,33,33,34,35,37,39,41,42,43,43,43,41,39,37,33,30,27,25,24,24,25,26,28,28,28,28,27,23,23,23,24,27,29,29,27,26,23,21,21,23,24,23,21,20,23,27,33,37,40,41,42,39,35,30,27,28,31,33,34,38,36,34,33,33,32,31,29,32,33,34,33,31,28,24,21,21,22,23,25,28,32,35,37,36,35,33,29,26,26,29,32,41,48,53,50,44,38,30,22,21,20,21,26,35,44,50,53,58,57,55,50,44,38,33,30,26,24,23,22,23,25,27,29,32,32,33,33,31,28,26,24,22,22,22,22,22,21,20,19,22,22,21,20,19,18,17,16,17,17,16,16,15,15,14,14,13,14,14,15,16,17,18,18,19,20,21,22,22,21,20,20,19,18,15,13,12,12,14,15,18,20,24,27,28,27,26,24,23,22,20,17,15,14,13,12,11,11,11,10,10,10,9,9,8,8,8,8,8,8,8,8,6,7,7,8,8,7,7,6,7,7,7,6,6,5,5,5,5,5,5,5,5,5,5,5,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 3,3,3,4,4,5,5,5,6,6,6,6,6,6,6,6,7,7,7,8,8,9,9,9,8,8,10,11,12,13,13,13,12,13,14,15,15,15,15,14,10,11,12,14,14,15,14,14,11,11,12,13,13,14,15,15,11,11,11,12,13,16,19,20,22,23,25,26,25,23,21,19,19,19,19,20,21,22,24,24,27,26,26,25,24,23,23,23,24,24,26,28,30,30,27,25,21,19,17,17,20,23,25,26,28,30,35,39,42,44,44,44,31,28,24,19,17,17,18,19,20,21,23,27,33,37,37,37,31,31,30,27,24,26,31,36,40,44,49,51,49,46,43,41,46,54,60,62,62,61,54,46,40,37,37,44,49,52,55,59,57,56,54,53,51,48,44,41,40,38,33,28,25,26,31,36,47,50,54,53,48,40,33,29,29,31,32,32,35,45,61,73,89,93,94,85,68,50,38,32,33,31,30,29,30,32,32,32,40,37,33,30,30,36,45,52,57,59,59,53,44,36,32,31,36,42,51,61,72,83,94,100,94,89,80,68,57,50,49,49,52,52,51,50,48,47,46,46,38,39,41,42,43,42,41,40,40,42,43,43,42,41,43,44,45,55,67,78,86,85,72,58,46,35,24,23,25,27,32,37,34,38,44,48,47,42,36,31,27,25,24,27,33,38,40,40,39,37,34,32,33,33,33,32,36,38,40,43,46,47,48,49,47,45,41,37,32,29,27,26,23,24,25,25,26,26,25,25,22,21,21,23,25,26,25,24,24,22,20,21,24,26,24,21,21,24,29,35,40,43,44,45,39,34,27,24,25,28,30,32,38,36,34,33,33,32,30,28,33,34,35,35,32,28,24,21,21,22,23,25,28,32,36,38,37,36,34,30,27,26,28,30,39,46,50,46,40,35,28,21,21,20,22,28,37,47,54,57,64,62,59,54,47,40,34,30,26,24,22,21,21,22,24,26,30,32,34,36,35,33,30,28,25,25,25,24,23,22,21,20,21,21,20,20,19,18,17,17,18,18,17,16,14,13,12,12,12,12,13,14,15,16,17,18,19,20,21,21,22,21,21,20,19,17,14,12,11,11,13,14,15,18,22,25,27,27,25,24,25,24,21,19,16,14,13,13,11,11,11,10,10,9,9,9,9,9,9,9,9,9,9,9,6,7,7,8,8,7,7,6,7,7,7,6,6,5,5,5,5,5,5,5,5,5,5,5,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 4,4,4,4,4,4,4,4,5,5,5,6,6,7,7,7,6,6,6,7,7,8,8,8,9,9,9,10,10,11,11,11,8,9,10,11,12,13,12,12,12,12,12,12,12,12,12,12,16,16,15,14,14,14,15,15,14,13,13,13,15,17,19,21,23,23,24,23,22,20,18,16,17,19,21,22,23,23,22,22,21,21,21,22,22,23,23,23,26,27,29,30,30,29,27,25,20,19,18,18,19,22,25,27,29,33,38,43,45,44,42,40,30,27,22,18,16,17,19,21,21,23,26,29,31,32,33,32,31,29,26,22,21,24,30,35,45,49,54,55,50,43,36,32,38,43,48,53,54,51,46,42,35,34,33,36,41,44,44,42,46,47,47,45,42,40,40,41,40,37,33,27,24,25,30,34,46,49,52,49,41,33,28,27,27,29,30,29,30,34,42,49,66,68,69,62,50,38,30,27,25,27,27,26,24,23,24,25,30,31,31,31,33,37,43,48,58,58,55,48,38,31,29,30,37,48,59,68,78,92,102,107,100,93,80,66,53,46,44,44,47,51,57,60,61,59,57,56,50,48,47,48,51,51,47,43,44,43,42,44,46,45,40,36,42,45,51,60,66,66,60,54,39,33,27,24,26,28,28,26,32,32,34,38,42,42,38,33,25,23,22,24,28,32,34,34,34,32,31,32,34,37,38,37,40,41,44,46,50,53,55,56,57,54,49,43,37,33,31,29,26,27,27,27,27,26,25,24,22,23,24,25,26,26,26,26,21,21,22,23,24,25,25,26,21,24,30,37,43,46,45,43,39,34,27,21,20,24,30,34,39,39,38,34,31,28,29,30,31,33,35,35,32,28,26,26,21,23,25,26,27,30,34,38,37,36,33,29,27,27,31,34,43,44,46,46,42,36,29,25,23,24,26,31,37,45,51,55,60,61,61,59,53,45,38,33,26,24,21,19,18,20,22,24,30,33,37,40,41,38,35,32,31,28,24,22,23,24,24,24,22,22,21,20,18,17,16,16,17,17,16,15,14,12,10,9,11,11,11,12,13,14,15,16,19,20,23,24,24,23,21,20,19,18,17,15,13,12,10,10,15,17,20,24,26,26,26,25,27,26,24,22,20,18,16,16,14,13,12,11,11,11,11,12,11,10,9,8,7,6,7,7,7,7,7,6,6,5,5,5,5,5,5,5,5,5,5,5,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 4,4,4,4,4,4,4,4,5,5,5,6,6,6,7,7,6,6,6,7,7,7,8,8,9,9,9,10,10,10,11,11,8,9,10,11,12,13,12,12,13,13,13,13,13,13,13,13,16,15,15,14,14,14,15,16,15,15,14,15,16,18,20,21,22,23,23,23,21,19,17,16,17,18,20,21,22,22,21,20,19,19,19,20,21,23,24,25,28,29,30,30,29,28,26,24,19,19,18,19,20,23,26,28,31,34,39,42,44,42,39,37,28,26,22,19,18,19,21,23,23,24,26,27,28,29,29,28,28,27,24,22,21,23,29,33,44,48,52,53,48,41,34,30,31,35,41,46,47,44,40,37,34,32,31,33,36,38,37,35,42,43,44,42,39,37,36,37,36,35,31,27,24,25,28,32,42,45,47,44,37,31,28,28,33,35,36,34,31,30,33,37,46,50,51,48,40,32,28,27,28,29,31,29,26,23,22,22,25,27,29,30,32,37,42,46,52,52,49,43,35,30,30,32,40,52,64,74,84,95,103,105,94,86,73,58,47,41,40,40,49,54,61,67,68,67,64,63,55,52,50,50,51,50,46,42,42,41,42,46,50,49,45,40,37,38,41,47,53,54,50,46,37,33,28,27,28,29,28,25,28,28,30,35,40,40,36,32,24,23,22,23,27,31,33,33,34,33,32,33,37,40,41,41,44,45,46,48,51,54,56,58,60,57,53,47,42,38,36,35,33,33,33,33,31,28,25,24,23,23,24,25,26,26,26,26,23,24,26,27,28,28,28,28,23,25,29,36,42,45,44,43,36,32,26,21,21,26,32,37,41,41,40,36,32,30,29,30,31,33,35,34,31,28,27,27,25,26,27,27,27,28,32,34,35,34,32,30,28,30,34,37,44,45,46,44,41,34,28,24,22,23,25,29,35,42,48,51,58,59,59,58,53,46,39,34,28,26,23,20,19,20,22,24,31,34,40,44,45,42,38,35,32,29,25,23,24,25,25,24,23,22,22,21,20,19,18,18,17,17,17,16,15,13,11,10,12,12,12,12,13,14,15,16,19,21,23,25,25,25,23,22,21,20,19,17,15,13,11,10,14,16,18,21,23,24,25,25,25,25,23,22,20,19,18,17,15,14,13,12,12,11,12,12,11,10,9,8,7,7,7,7,7,7,7,6,6,5,5,5,5,5,5,5,5,5,5,5,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 4,4,4,4,4,4,4,4,5,5,5,5,6,6,6,7,6,6,6,6,7,7,7,8,9,9,9,9,10,10,10,11,8,9,10,11,12,13,12,12,13,13,13,13,13,13,13,13,15,15,14,14,14,14,15,16,16,16,16,17,18,20,21,22,22,22,22,21,20,18,17,16,17,17,18,19,19,19,18,18,17,17,17,18,20,23,26,28,31,31,31,30,28,26,24,23,19,19,19,21,23,26,29,31,34,36,39,41,41,38,34,32,25,23,21,19,19,21,24,26,26,26,26,25,25,25,24,24,24,24,23,22,22,24,28,31,42,46,49,49,44,37,31,27,25,29,34,39,40,38,35,32,32,30,28,28,29,30,29,28,37,39,40,38,35,32,30,30,31,31,29,27,24,24,25,28,35,38,40,37,32,28,28,30,37,41,44,42,36,30,27,26,29,32,35,33,29,26,27,29,34,36,38,37,32,26,21,19,21,23,26,29,31,35,39,43,44,45,43,38,33,31,33,37,45,57,70,79,88,96,99,97,84,75,61,47,38,34,35,36,42,48,57,65,70,69,66,63,58,54,50,49,49,48,44,40,38,39,43,50,56,57,53,48,36,33,32,34,38,41,40,38,35,32,30,31,33,33,29,25,25,24,26,31,36,38,35,32,25,23,21,22,26,30,32,33,36,35,35,38,42,46,48,49,50,49,48,48,50,52,55,57,60,58,55,51,48,45,44,43,42,43,43,42,38,33,28,25,24,24,25,25,25,25,25,25,27,29,32,34,35,34,32,31,26,27,29,34,39,43,43,43,33,30,25,23,25,30,37,42,46,46,45,41,37,33,32,32,33,34,35,33,31,29,29,30,31,32,31,29,27,26,27,29,31,31,31,31,31,33,38,42,45,46,45,43,39,33,27,23,21,21,23,26,31,36,42,45,54,55,56,56,52,46,40,37,31,29,26,23,21,21,22,23,31,35,42,47,49,46,42,39,32,29,26,24,25,25,24,23,23,23,22,22,21,20,20,20,18,18,18,18,17,15,14,13,13,13,12,13,13,15,16,16,20,21,23,25,26,26,26,25,23,23,22,21,19,16,14,13,14,15,16,17,19,21,23,24,23,23,22,21,20,20,19,19,17,16,15,14,13,12,12,12,11,11,9,8,7,7,7,7,7,7,7,6,6,5,5,5,5,5,5,5,5,5,5,5,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 4,4,4,4,4,4,4,4,4,4,5,5,5,6,6,6,5,5,6,6,6,7,7,7,8,8,9,9,9,10,10,10,8,9,10,11,12,13,12,12,14,14,14,14,14,14,14,14,14,14,13,13,14,14,15,16,18,18,18,19,20,21,22,22,21,21,21,20,18,17,16,15,16,16,16,17,17,17,17,16,16,16,17,18,21,26,30,32,35,34,32,29,26,24,22,21,20,20,21,23,26,29,32,34,36,37,39,39,38,34,30,27,21,20,18,18,19,22,25,27,26,25,24,24,23,23,23,23,21,23,24,23,23,24,27,29,39,42,44,43,39,32,27,24,22,26,32,36,38,36,33,30,28,26,25,24,24,25,25,25,34,36,38,37,33,29,26,25,25,27,28,26,24,23,23,24,30,32,34,32,29,28,30,33,42,47,53,52,45,35,28,24,25,28,30,29,26,26,30,34,43,46,49,47,41,32,25,21,20,22,26,28,29,31,34,37,38,40,39,37,33,34,38,43,48,59,72,79,85,88,85,80,70,61,47,35,29,29,31,32,35,40,50,59,65,66,63,59,54,49,44,43,43,43,40,36,35,37,44,55,64,67,65,61,44,38,31,29,31,33,34,34,32,32,33,37,40,39,33,27,24,23,24,29,34,37,36,33,27,25,23,23,27,31,34,35,39,39,41,46,51,55,57,57,54,52,48,44,44,45,48,50,53,53,52,51,51,50,50,50,50,51,52,51,47,41,35,31,27,27,26,26,26,26,26,26,31,34,38,41,42,39,36,33,30,29,29,32,37,41,42,42,32,30,28,28,32,38,45,50,54,54,53,49,43,39,36,36,35,36,36,34,33,33,35,37,40,40,38,34,29,25,24,24,26,28,30,32,34,37,41,45,47,47,45,42,37,32,27,23,20,20,20,23,26,31,36,39,50,51,52,52,50,46,41,38,34,32,28,25,23,21,21,21,28,33,40,47,49,47,42,39,31,28,25,24,24,24,23,22,22,22,21,21,20,20,20,19,19,19,19,19,18,17,16,15,14,14,13,14,14,15,16,17,20,21,23,25,27,27,27,27,27,27,27,26,24,22,20,18,15,15,14,14,15,18,21,23,20,20,20,20,20,20,20,20,19,18,16,15,14,13,13,13,12,11,10,8,8,7,7,8,7,7,7,6,6,5,5,5,5,5,5,5,5,5,5,5,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 4,4,4,4,4,4,4,4,4,4,4,5,5,5,6,6,5,5,5,6,6,6,7,7,8,8,8,9,9,9,10,10,8,9,10,11,12,13,12,12,14,14,14,14,14,14,14,14,13,13,13,13,13,14,15,16,18,19,20,21,21,22,22,22,21,20,19,18,16,15,15,15,15,15,15,15,15,16,16,16,17,18,19,22,26,30,34,36,38,36,32,28,25,22,21,21,22,23,24,26,29,32,34,36,36,37,38,37,35,31,27,24,18,17,16,16,17,20,23,24,23,23,24,24,24,24,24,24,21,22,24,24,23,24,26,28,34,37,39,37,33,28,24,22,22,25,30,34,35,34,31,29,24,23,23,22,22,24,26,28,34,37,39,39,34,29,25,23,22,24,27,27,25,23,23,24,27,30,32,31,30,30,35,39,50,57,64,64,55,42,32,26,26,28,30,30,29,31,37,42,53,56,59,58,50,40,31,26,23,25,27,27,27,28,29,31,34,36,37,36,34,35,40,45,50,59,67,72,74,73,66,58,50,43,33,26,24,26,28,29,33,36,43,52,60,62,59,56,44,39,34,33,35,36,35,33,33,37,46,60,72,79,79,76,58,49,38,31,29,31,31,30,31,33,37,44,48,47,40,33,28,26,25,29,34,38,37,35,30,27,25,26,30,35,39,40,45,47,51,57,63,66,65,64,56,52,45,38,35,35,38,40,44,46,47,50,52,54,55,56,56,57,58,58,54,49,43,39,32,31,30,28,28,28,28,29,34,37,42,45,46,43,39,36,32,31,30,32,35,39,40,40,34,33,33,35,41,48,55,59,63,63,62,57,51,45,41,40,38,38,37,36,36,38,43,47,49,49,46,40,32,26,23,22,23,26,29,33,35,39,43,46,48,47,44,40,36,31,26,24,19,19,19,20,24,28,32,35,45,46,48,48,47,44,40,38,35,33,30,27,24,22,21,21,24,29,36,42,44,42,39,36,28,26,24,24,24,24,23,22,21,21,20,20,19,18,18,17,18,19,19,19,19,19,18,17,15,15,15,14,15,15,16,17,20,21,22,24,25,26,27,27,29,30,31,31,30,28,25,24,18,16,14,13,14,16,19,21,17,17,18,18,19,19,19,19,19,18,16,15,14,14,14,14,12,11,10,9,8,8,8,8,7,7,7,6,6,5,5,5,5,5,5,5,5,5,5,5,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 4,4,4,4,4,4,4,4,3,4,4,4,5,5,5,5,4,5,5,5,6,6,6,6,7,8,8,8,9,9,9,9,8,9,10,11,12,13,12,12,13,13,13,13,13,13,13,13,12,12,12,12,13,14,15,16,19,19,20,21,22,22,21,21,20,19,18,16,15,14,14,14,13,13,13,13,14,16,17,18,20,21,24,28,33,36,39,40,40,37,32,27,24,22,21,21,25,26,27,29,32,34,35,36,35,35,35,35,32,29,25,23,17,16,16,16,16,18,20,21,21,23,25,27,27,27,26,25,21,22,23,22,21,21,23,25,29,31,33,32,28,24,22,21,21,24,28,31,31,30,27,25,22,23,23,22,22,24,28,32,36,39,42,41,37,30,25,22,21,24,27,27,26,25,24,25,28,31,35,35,35,36,41,45,61,68,74,73,62,48,37,31,26,29,32,32,33,36,43,49,58,62,65,63,55,45,36,30,26,27,28,27,26,26,28,30,32,36,38,38,37,37,41,45,49,55,59,60,60,58,49,40,34,29,24,23,27,30,31,31,31,31,33,39,46,50,49,47,37,31,26,25,28,31,31,30,33,37,48,64,80,90,93,92,75,64,50,39,34,31,29,27,32,35,42,50,57,56,48,42,34,31,29,30,34,37,37,35,32,29,27,28,33,39,44,46,53,56,63,71,76,76,73,69,56,50,41,32,28,29,32,35,43,45,48,52,55,58,60,61,61,62,62,62,59,54,49,46,38,36,34,32,31,31,32,32,36,39,43,46,46,43,39,36,33,32,31,32,35,37,38,37,36,36,38,42,48,56,63,67,70,70,68,63,56,49,44,43,39,39,37,37,38,43,50,56,59,58,54,47,37,29,23,21,20,24,29,33,36,39,42,45,45,44,40,36,32,28,25,23,19,18,18,20,23,27,31,33,41,42,44,44,43,41,38,37,35,33,31,27,24,22,21,20,20,24,29,34,36,36,33,32,26,25,24,24,26,26,25,24,22,22,21,19,18,17,16,15,17,18,19,19,20,19,19,18,17,16,16,15,15,16,17,17,19,20,20,21,22,23,24,25,29,30,32,33,33,32,30,28,21,20,17,15,15,16,17,18,15,15,15,16,16,17,17,17,17,16,15,14,14,14,15,15,12,12,10,9,8,8,8,8,7,7,7,6,6,5,5,5,5,5,5,5,5,5,5,5,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 4,4,4,4,4,4,4,4,3,3,4,4,4,5,5,5,4,4,5,5,5,6,6,6,7,7,8,8,8,9,9,9,8,9,10,11,12,13,12,12,13,13,13,13,13,13,13,13,12,12,12,12,13,14,15,16,18,19,20,21,22,21,20,20,20,19,17,15,13,13,13,14,12,12,12,13,14,16,19,20,23,26,30,35,40,42,43,44,41,37,32,26,23,21,22,22,27,28,30,32,34,35,36,36,32,33,33,32,31,28,25,23,19,19,18,17,17,17,18,19,22,25,28,30,31,29,26,24,21,21,20,18,17,17,19,21,25,27,28,27,24,22,21,21,23,25,28,30,30,28,25,23,22,23,23,22,21,23,28,32,37,40,44,44,38,31,25,22,22,25,27,28,27,26,27,28,31,35,39,41,41,43,47,51,65,72,78,77,67,55,45,40,33,35,37,37,36,37,43,48,58,61,64,62,55,45,37,32,28,29,28,27,25,27,30,33,37,41,45,46,43,42,44,47,47,51,52,50,50,48,40,31,29,27,27,32,40,44,44,41,32,28,26,28,35,40,41,39,35,29,23,22,25,28,29,29,33,38,50,67,85,98,104,105,92,81,65,51,43,36,31,27,33,37,45,55,63,63,57,51,39,35,31,31,34,36,35,33,32,29,27,29,34,41,47,50,60,65,74,82,87,85,78,72,54,48,38,30,26,28,33,37,50,52,55,59,62,64,65,65,67,67,66,64,60,56,52,50,43,41,38,36,34,34,35,36,37,39,42,45,45,42,39,37,34,33,32,33,35,36,35,34,37,38,42,47,53,61,68,72,73,73,72,66,58,50,45,43,38,37,36,35,38,46,55,62,66,65,61,53,42,32,25,22,20,24,29,33,36,37,40,42,41,39,35,31,27,24,22,21,19,18,18,20,23,27,31,33,38,39,40,41,40,38,36,34,34,32,30,27,25,22,20,20,18,20,24,28,29,30,29,28,26,25,25,26,29,30,29,27,25,24,23,21,19,17,16,15,16,17,18,19,19,19,19,19,18,17,17,16,16,16,17,17,18,18,18,18,19,20,21,21,25,27,30,33,34,33,31,30,25,23,21,18,17,16,16,16,13,13,14,14,14,14,15,15,14,14,14,13,14,15,15,16,13,12,11,9,9,8,8,9,7,7,7,6,6,5,5,5,5,5,5,5,5,5,5,5,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 4,4,4,4,4,4,4,4,3,3,3,4,4,5,5,5,4,4,4,5,5,6,6,6,7,7,7,8,8,9,9,9,8,9,10,11,12,13,12,12,12,12,12,12,12,12,12,12,11,11,11,12,13,14,15,16,18,19,20,21,22,21,20,19,20,18,16,14,13,12,13,13,12,11,11,12,14,17,20,22,25,29,34,40,44,46,46,45,41,37,31,26,22,21,22,23,29,30,32,33,35,36,36,36,30,31,31,31,30,28,25,24,22,21,20,18,18,18,18,18,24,27,31,33,33,30,26,23,20,20,18,15,13,13,16,18,22,24,25,25,22,21,20,21,26,28,30,32,31,29,26,24,24,24,24,22,20,21,27,31,37,41,45,44,39,31,25,21,24,26,28,28,27,27,28,30,33,38,43,46,46,47,51,55,63,69,76,77,70,61,53,50,42,44,44,41,38,37,39,43,56,59,62,60,53,44,36,32,29,29,28,26,26,28,33,36,44,49,53,54,51,49,49,50,46,48,47,45,45,44,37,28,30,31,34,43,53,58,56,53,40,34,27,28,33,39,41,41,37,30,24,21,24,27,28,28,34,39,51,68,88,103,110,112,105,93,77,62,51,42,35,29,34,38,47,58,67,68,62,56,42,37,32,31,33,34,33,31,31,28,26,28,35,42,49,52,65,71,80,90,93,89,80,73,53,46,37,29,27,30,37,42,57,59,62,65,67,68,69,68,71,70,68,64,60,56,52,50,46,44,41,38,36,36,37,38,37,39,41,43,43,41,38,36,34,33,33,34,36,36,34,32,37,39,43,48,55,63,69,73,74,74,73,67,59,50,45,42,36,35,34,34,38,46,57,65,71,69,65,56,45,34,27,24,19,24,29,33,35,36,38,39,37,35,31,27,23,21,20,19,19,19,19,20,23,27,32,34,37,38,38,39,38,36,34,33,32,31,30,27,25,22,20,19,18,19,22,24,26,26,26,26,26,26,26,29,31,33,32,31,27,26,25,22,20,18,16,15,15,16,17,18,19,19,19,19,18,18,17,16,16,17,17,18,18,18,17,17,17,18,18,19,22,24,28,31,33,32,31,30,27,26,24,21,18,16,15,15,12,12,13,13,13,13,13,13,13,13,12,13,13,15,16,17,13,12,11,10,9,9,9,9,7,7,7,6,6,5,5,5,5,5,5,5,5,5,5,5,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,5,5,6,6,6,6,6,6,7,7,8,8,8,10,10,10,11,11,12,12,13,13,12,12,12,11,10,10,10,12,11,11,12,13,16,18,20,18,19,20,21,20,19,18,17,16,16,16,16,15,14,13,12,14,15,15,16,17,21,27,32,36,41,44,45,47,51,50,47,42,38,32,26,22,21,21,22,30,32,35,37,38,37,36,35,31,29,28,29,31,32,32,31,26,24,24,23,19,15,17,23,27,32,37,39,37,33,29,27,20,17,17,18,19,19,20,23,23,24,25,25,24,24,25,26,28,27,26,26,26,25,23,21,22,22,23,23,24,26,28,29,37,41,44,44,40,35,30,28,24,25,26,28,29,30,30,30,36,40,46,50,51,51,52,52,60,64,70,73,72,66,58,52,47,44,41,37,34,33,32,32,44,45,46,46,44,40,35,33,31,28,27,26,25,25,33,43,55,61,67,68,62,54,49,47,44,43,42,41,39,36,34,33,33,37,45,58,70,75,72,66,55,44,32,29,33,39,40,39,35,30,26,26,30,33,31,28,34,39,50,67,85,101,112,117,114,106,92,75,58,46,37,33,30,38,49,61,73,79,73,64,51,45,37,31,29,29,29,29,27,26,26,29,34,41,48,52,67,72,81,89,93,88,76,67,53,38,27,31,35,36,44,56,61,67,74,79,80,78,76,74,73,66,61,58,54,49,49,53,50,54,53,48,45,44,39,34,36,37,37,36,34,32,32,33,31,32,34,35,36,36,35,34,37,40,44,48,51,56,61,65,65,64,62,59,54,49,44,41,35,34,32,33,38,46,54,59,69,69,66,59,47,35,26,21,21,24,27,31,34,35,34,34,31,29,26,23,21,20,21,22,23,23,22,23,25,28,31,34,38,38,39,39,37,34,31,28,30,29,29,28,26,24,22,20,18,19,20,22,23,25,26,27,25,27,31,34,37,39,40,40,40,37,33,28,23,19,16,15,14,15,16,19,21,23,25,25,25,24,22,20,19,20,20,21,22,21,19,18,17,17,17,17,21,23,25,27,29,29,29,28,27,26,25,23,21,18,15,14,12,11,10,9,9,9,9,10,11,12,13,14,15,16,16,16,12,13,13,13,13,12,11,10,8,8,7,6,5,5,4,3,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,5,5,6,6,6,6,6,6,7,7,8,8,8,10,10,10,11,11,11,12,12,11,11,11,10,10,10,9,9,11,11,11,12,14,16,19,20,19,20,20,21,20,19,17,16,15,16,16,16,16,15,14,14,15,16,17,17,19,23,29,34,37,42,45,45,47,50,50,46,40,36,31,26,23,22,23,24,30,31,34,36,37,36,35,34,32,31,30,31,33,34,33,32,30,27,26,25,22,19,22,29,34,38,42,43,40,35,32,30,24,24,25,27,28,29,30,32,29,29,28,26,25,25,27,28,31,30,29,28,27,26,24,23,26,26,26,26,25,25,26,28,32,36,40,41,38,33,28,26,25,26,28,29,31,32,32,32,37,41,46,49,49,49,49,49,54,59,65,69,68,63,56,51,46,43,39,35,31,29,29,29,35,37,39,40,39,37,34,32,31,28,26,26,26,29,39,50,66,72,78,77,69,58,50,47,43,43,43,42,40,38,36,35,40,44,52,66,78,84,82,77,62,52,41,36,40,45,46,44,40,35,30,29,31,33,30,27,30,35,46,63,82,99,111,117,113,106,92,76,61,48,40,36,32,40,51,63,75,82,77,68,59,53,44,36,32,31,30,29,26,26,26,28,32,39,45,49,63,68,76,85,87,82,71,62,50,36,28,32,38,41,50,61,68,72,79,83,85,83,80,78,70,63,57,54,52,49,51,56,56,59,59,55,50,47,41,35,34,34,33,32,30,29,30,31,30,31,33,35,36,35,34,33,32,35,38,41,43,47,52,55,57,57,57,55,52,48,44,41,35,34,32,32,35,41,48,53,63,63,61,54,44,33,25,21,21,23,27,31,34,34,34,34,30,28,25,22,20,20,21,22,25,24,24,24,26,28,30,32,34,35,36,36,35,33,31,29,30,30,29,28,26,24,23,21,19,20,21,22,24,25,27,27,30,32,35,39,42,45,46,46,43,41,37,31,26,21,17,16,15,16,17,20,22,25,27,28,28,27,25,23,22,22,23,23,23,22,21,20,19,19,19,19,20,22,24,25,27,27,26,26,25,25,24,22,20,18,16,15,12,11,10,9,9,9,9,10,11,12,13,14,15,15,15,15,12,12,13,13,12,12,11,10,8,8,7,7,6,5,4,4,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,5,5,6,6,6,6,6,6,7,7,8,8,8,9,9,10,10,10,11,11,11,10,9,9,9,9,8,8,8,9,10,10,12,14,17,19,21,20,20,20,20,19,18,16,15,15,16,17,17,18,17,17,17,17,18,19,20,22,26,32,36,40,45,47,45,46,49,48,44,36,34,30,26,24,25,26,28,30,31,33,35,36,36,35,34,35,34,34,35,37,38,37,35,36,31,28,27,25,24,28,35,42,45,47,47,43,39,36,35,31,33,37,40,42,44,44,43,38,36,32,29,27,29,31,32,37,36,33,30,28,27,27,27,33,34,33,31,27,25,25,26,29,33,38,40,38,34,29,27,26,27,29,31,33,34,35,35,39,43,46,47,46,45,44,44,46,51,58,64,64,60,54,49,45,41,36,31,27,25,25,25,27,28,31,33,34,34,32,31,32,27,25,25,27,33,47,61,79,85,89,87,75,61,50,44,41,42,43,43,42,40,38,37,44,48,58,71,84,90,90,87,70,60,49,45,46,49,49,48,45,40,34,32,32,32,29,26,27,32,42,58,77,94,106,112,112,105,92,77,62,50,41,37,34,43,54,66,79,87,85,78,69,62,51,42,35,31,29,27,26,25,25,26,30,35,41,44,55,60,68,76,77,72,62,54,45,34,29,35,41,45,55,66,71,74,80,85,87,86,83,81,68,60,53,50,49,50,56,63,66,70,71,65,60,54,45,37,31,30,28,26,26,26,27,27,28,29,32,34,35,35,33,32,28,30,33,34,35,37,41,43,47,48,49,50,49,47,44,42,37,35,32,30,32,36,41,44,53,54,52,47,39,30,24,22,21,23,27,31,33,34,34,33,28,26,23,21,20,21,22,23,27,27,27,27,27,28,28,28,29,30,31,32,32,31,31,30,31,30,30,29,28,26,24,23,20,21,22,24,25,27,28,29,34,36,39,42,46,48,50,51,48,46,41,36,30,24,20,18,16,17,19,21,24,28,30,32,33,32,31,29,27,26,26,26,25,25,23,22,21,21,21,21,20,20,22,22,23,23,22,22,22,22,21,21,20,18,16,15,12,11,10,9,9,9,9,10,11,11,12,14,14,15,14,14,12,12,13,13,12,11,10,10,8,8,7,7,6,5,5,5,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,5,5,6,6,6,6,6,6,7,7,8,8,8,9,9,9,9,9,10,10,10,8,8,7,7,7,7,7,7,8,9,10,12,15,17,19,20,21,21,20,19,18,17,16,15,15,16,17,19,19,20,20,20,19,20,22,24,26,30,35,39,43,47,47,44,44,46,44,41,32,30,28,26,26,27,29,30,31,32,34,35,36,36,36,36,39,39,39,41,43,43,41,39,39,33,28,27,27,27,33,40,46,48,50,49,46,43,41,41,42,48,53,56,59,61,58,54,47,42,35,30,30,33,37,39,45,43,39,35,31,29,31,32,41,42,42,38,31,26,25,26,28,33,40,43,42,38,34,32,29,30,32,34,36,38,38,39,42,44,46,46,43,40,39,39,41,46,54,61,63,60,54,50,42,38,32,26,23,22,23,24,26,28,30,32,33,33,32,32,33,28,24,24,27,36,53,69,88,93,96,91,77,61,47,40,38,39,41,42,42,41,39,38,42,47,56,69,81,88,89,88,72,64,54,49,48,49,48,47,46,42,36,32,30,28,25,23,26,31,40,55,73,88,99,104,108,101,88,73,58,46,38,34,34,44,57,71,85,95,95,90,79,71,58,47,38,32,28,25,26,25,24,25,27,31,35,38,46,51,58,64,65,60,53,47,41,35,33,38,43,47,54,62,65,68,73,80,85,86,84,82,70,61,53,50,51,55,64,73,82,86,86,79,71,62,50,39,30,28,25,24,24,25,26,26,26,28,31,33,34,33,32,31,27,29,30,30,30,31,33,36,37,40,43,46,48,48,46,45,42,39,35,31,30,32,34,37,43,44,43,39,33,27,24,23,22,24,28,31,33,33,32,32,25,24,22,20,20,22,24,25,29,30,30,30,29,28,26,24,25,25,26,27,28,29,30,30,31,31,30,30,28,27,25,24,23,24,25,26,28,30,31,31,34,36,39,42,45,48,50,51,51,49,45,39,33,27,22,20,18,18,20,22,26,30,33,35,37,37,35,34,32,31,30,30,28,27,26,25,24,24,24,24,20,20,20,20,19,19,18,18,18,18,19,19,18,18,17,16,12,11,10,9,9,9,9,10,10,11,12,13,13,14,13,13,11,12,12,12,12,11,10,9,8,8,8,7,7,6,6,5,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,5,5,6,6,6,6,6,6,7,7,8,8,8,9,9,9,9,9,8,8,8,6,6,6,6,6,7,7,7,8,9,11,13,15,17,18,19,20,20,19,18,17,16,16,16,16,17,19,20,21,22,22,22,20,22,25,27,29,33,38,42,45,47,46,42,40,41,39,35,28,27,26,25,26,28,30,32,33,34,35,36,37,37,37,37,41,42,44,46,48,48,44,41,38,31,25,25,26,28,34,41,46,47,49,49,48,48,49,51,60,69,76,78,79,79,73,64,52,44,34,29,31,38,44,48,55,52,47,40,34,33,36,39,49,51,51,45,36,29,27,28,30,36,43,47,47,43,39,37,34,35,37,39,40,42,42,42,45,46,47,45,40,37,35,35,39,44,53,60,62,59,54,50,38,35,29,24,22,23,26,29,35,36,36,37,37,36,35,34,35,29,24,24,28,39,58,76,96,99,99,91,76,58,45,39,34,36,39,41,41,40,38,36,39,43,52,62,72,79,82,82,72,65,56,50,48,47,46,44,42,39,34,30,27,24,22,21,24,29,39,54,72,87,96,100,101,93,80,64,50,39,32,29,34,46,62,76,91,102,104,100,89,80,66,53,43,36,31,28,27,26,25,24,25,27,30,31,38,42,48,52,52,49,45,43,40,39,40,44,46,47,50,54,55,58,64,73,81,85,85,83,75,65,57,55,58,64,76,88,101,104,102,93,81,69,54,42,32,29,26,26,28,29,29,27,27,28,29,30,30,30,30,29,26,27,28,28,26,27,29,31,34,37,43,48,51,52,52,51,49,45,40,34,31,30,31,32,34,35,34,31,27,24,24,24,24,26,28,31,32,31,30,29,23,22,21,20,21,23,26,28,32,33,35,35,33,29,25,23,22,22,22,22,24,26,28,29,30,30,30,30,28,27,25,25,25,26,27,29,30,32,33,34,35,36,38,40,43,46,48,50,50,48,45,41,35,30,25,22,19,19,20,22,25,30,34,36,39,38,38,37,35,34,33,32,30,29,28,27,26,26,26,26,22,21,20,18,17,16,16,15,15,16,16,17,17,17,16,15,12,11,10,9,9,9,9,10,10,11,12,12,13,12,12,12,11,11,12,12,11,11,10,9,8,8,8,7,7,7,7,6,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 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3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,5,5,6,6,6,6,6,6,7,7,8,8,8,8,8,8,7,7,7,6,6,6,6,6,6,7,7,8,8,10,11,13,15,16,16,15,15,18,17,16,16,16,17,18,19,20,21,22,23,24,24,24,23,20,23,27,30,33,36,41,44,44,45,42,35,31,30,28,23,21,21,22,23,25,27,29,30,31,31,31,32,33,34,35,35,38,40,43,47,49,47,42,38,32,24,20,22,26,29,33,38,44,46,50,54,60,68,77,84,97,109,116,113,107,101,87,70,50,39,27,24,32,47,59,66,72,69,61,50,41,39,45,51,59,63,65,59,47,39,37,38,45,51,60,65,65,61,56,53,51,52,53,54,55,55,54,54,49,49,48,44,38,34,32,32,34,39,47,53,54,51,45,41,31,28,24,22,26,33,42,48,51,50,49,48,46,44,42,41,36,31,27,29,37,51,74,93,108,105,96,80,61,44,35,31,33,36,39,42,42,40,37,35,36,40,45,50,54,57,60,61,59,55,49,44,40,37,34,33,29,28,26,24,22,21,22,23,27,33,46,62,76,86,91,91,78,69,55,41,31,27,27,28,41,56,75,89,100,106,105,100,93,85,72,59,49,42,37,35,29,28,26,25,23,23,23,23,27,29,31,32,32,34,39,43,49,57,65,67,63,57,51,47,44,45,50,61,73,80,81,79,74,67,63,67,77,90,108,122,137,137,129,113,96,78,61,47,43,40,39,42,46,46,42,37,33,31,27,24,22,23,25,27,27,29,30,30,29,30,33,35,42,47,54,61,65,67,66,65,58,54,47,40,33,29,27,26,25,25,25,23,22,22,25,27,29,30,31,31,30,27,24,22,22,21,21,22,24,28,31,34,42,45,48,50,47,41,34,29,25,23,20,18,18,20,23,25,28,28,28,28,27,26,25,24,23,24,25,26,28,29,31,31,32,32,32,32,33,35,37,39,39,39,39,38,35,31,28,26,19,19,18,19,21,25,30,33,34,35,36,36,36,35,34,33,32,31,30,29,28,27,28,28,28,26,23,19,17,15,14,14,13,13,14,14,14,14,13,12,12,11,10,9,9,9,9,10,10,10,11,11,11,10,10,9,10,11,11,11,11,10,9,8,8,8,8,8,8,8,8,8,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,5,5,6,6,6,6,6,6,7,7,8,8,8,8,8,8,7,7,6,6,5,6,6,6,7,7,8,8,8,11,12,14,15,16,15,14,14,17,16,15,15,16,17,19,21,21,22,23,24,24,24,24,23,20,23,27,31,33,37,41,44,44,44,40,33,28,27,24,20,20,20,21,22,24,26,28,29,29,29,29,30,30,32,33,34,35,37,41,45,47,45,40,35,31,23,19,22,27,30,33,37,44,47,52,58,66,77,88,95,103,116,123,117,109,102,84,66,47,36,24,22,32,49,63,71,77,73,65,53,43,41,48,55,61,65,68,62,50,42,40,42,54,61,70,75,74,70,65,62,58,59,59,60,60,59,59,58,50,50,48,44,38,34,32,32,32,37,44,49,50,46,40,35,29,26,23,23,28,37,48,54,53,52,51,49,47,45,44,43,35,30,28,32,41,57,80,100,109,104,91,72,51,35,27,24,35,37,41,43,43,41,38,35,35,37,41,44,47,49,51,53,51,48,43,37,33,30,27,26,25,25,24,23,21,22,24,26,36,42,53,66,77,83,83,82,70,62,48,35,27,26,28,31,45,61,79,93,101,105,102,96,89,80,68,56,47,40,36,33,30,29,27,25,23,22,21,21,26,27,28,27,28,32,39,45,53,63,73,76,71,63,55,48,40,41,45,56,67,75,75,73,70,65,63,70,82,98,117,133,146,145,136,118,99,80,62,48,47,45,44,48,53,52,47,41,35,32,26,22,20,21,24,26,31,33,34,35,35,36,39,42,47,51,59,66,70,72,71,70,59,55,48,40,33,29,26,25,24,24,24,22,21,22,25,28,31,31,32,31,29,26,22,20,22,21,21,22,25,29,33,35,46,49,53,55,53,46,38,33,27,24,20,17,17,18,21,23,27,27,27,27,26,25,24,23,21,21,22,24,26,27,28,29,28,27,26,26,27,28,30,31,34,35,36,36,34,31,28,26,19,18,17,17,20,24,28,31,31,32,34,35,36,35,34,33,32,31,30,29,28,28,28,28,30,27,24,20,17,15,14,14,13,13,14,14,14,13,12,11,12,11,10,9,9,9,9,10,9,10,10,11,11,10,9,9,10,11,11,11,11,10,9,8,8,8,8,8,8,8,8,8,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,6,6,6,7,7,8,8,8,7,7,7,6,6,5,5,5,4,5,6,6,7,8,9,9,10,12,13,14,15,14,13,13,14,15,16,17,19,20,21,22,23,24,24,24,24,23,22,21,22,24,27,31,35,38,40,40,41,38,33,28,24,22,21,21,18,18,19,20,22,23,24,24,28,27,27,27,27,28,29,30,31,32,33,37,39,38,35,32,23,20,18,17,20,27,35,40,44,49,58,65,72,82,93,100,111,115,116,111,102,90,71,56,39,29,23,26,35,48,63,76,79,73,60,46,36,34,41,48,60,64,64,57,46,43,48,56,67,77,86,88,85,81,73,64,60,60,60,63,64,62,56,51,46,45,42,39,36,33,30,29,33,34,36,38,40,37,32,28,23,23,26,29,35,42,48,52,56,53,49,47,46,45,43,41,31,30,30,32,42,61,83,99,108,97,81,63,43,28,25,29,36,45,52,50,47,45,42,39,42,42,43,43,44,44,45,45,46,44,40,35,30,26,23,21,20,22,22,22,21,22,25,27,32,44,58,68,77,82,79,74,65,52,36,26,21,21,29,38,54,68,84,91,94,94,91,86,72,63,53,47,45,43,39,36,31,30,28,26,25,24,25,25,28,30,30,27,25,28,36,43,55,68,79,80,77,72,62,51,43,44,48,56,65,70,70,68,63,62,63,70,84,104,124,136,146,142,132,115,94,74,60,52,45,47,50,54,55,52,46,42,34,30,24,19,18,21,25,29,34,37,40,41,41,42,44,46,54,58,64,69,72,72,70,68,61,56,48,41,36,32,29,26,20,18,18,21,21,21,25,31,35,40,40,34,28,26,22,17,18,19,22,26,30,35,39,41,50,52,57,60,61,56,48,42,29,26,22,18,16,17,19,21,24,25,26,26,25,24,22,20,22,22,22,23,23,24,24,24,22,21,20,20,21,23,25,26,29,31,32,33,33,31,28,26,20,19,17,16,17,19,21,23,28,29,30,32,33,33,33,33,29,29,28,28,27,26,26,25,24,23,22,19,17,15,13,12,12,12,12,11,11,10,10,10,10,10,10,9,9,8,8,8,9,9,9,9,9,9,9,9,10,10,10,9,9,8,8,8,8,8,8,7,7,6,6,6,5,5,5,5,5,5,5,5,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,6,6,6,7,7,7,8,8,7,7,7,6,6,5,5,5,5,5,6,7,8,8,9,9,10,11,13,14,14,14,13,12,13,14,15,17,19,21,22,23,24,24,24,24,23,23,22,21,23,25,27,31,34,36,37,38,38,35,31,26,23,20,20,20,18,18,19,20,21,22,23,23,24,25,26,27,28,29,29,29,29,29,31,33,35,34,31,28,22,20,17,17,21,27,35,40,45,51,60,67,73,82,91,98,103,106,106,99,90,79,62,48,36,28,23,27,36,47,61,72,71,66,55,41,31,30,36,43,53,57,59,54,46,46,55,63,81,91,98,97,92,84,74,65,62,61,61,62,62,59,53,48,42,41,39,37,34,31,29,27,28,28,29,31,33,31,28,25,23,24,27,31,37,43,48,51,51,49,46,44,43,41,39,36,29,29,28,32,43,61,83,98,103,91,74,56,38,25,25,32,45,55,62,60,55,51,45,40,42,42,43,43,43,43,43,43,43,41,38,34,29,25,22,21,20,22,23,24,24,24,27,29,36,47,60,68,74,77,73,67,56,44,31,24,21,24,33,44,60,73,86,90,89,86,80,74,61,53,45,41,41,41,38,35,34,32,29,26,25,25,26,27,31,32,32,29,26,28,35,42,54,66,76,78,75,70,60,50,45,45,48,54,60,62,61,58,53,54,57,65,81,101,120,131,137,132,120,103,83,64,51,45,44,46,49,53,54,51,44,39,30,26,22,18,19,22,27,31,39,42,44,45,44,44,45,47,55,59,65,70,73,72,69,66,59,54,47,40,35,31,28,25,22,19,19,21,21,21,27,34,37,42,43,38,33,30,25,20,20,21,23,27,31,36,39,42,50,52,56,60,60,56,48,42,32,29,24,19,17,17,18,20,24,25,26,26,26,24,22,21,21,21,21,21,21,22,22,22,20,19,18,18,18,20,22,23,28,29,31,32,31,29,27,25,20,19,17,16,16,18,21,22,27,27,29,30,31,31,31,31,28,28,27,27,26,25,24,24,23,22,21,19,17,15,13,12,12,12,11,11,11,10,10,10,10,10,10,9,9,8,8,8,9,9,9,9,9,9,9,9,10,10,9,9,9,8,8,8,8,8,7,7,7,6,6,6,5,5,5,5,5,5,5,5,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,6,6,6,6,7,7,7,8,7,7,6,6,6,6,5,5,6,6,6,7,8,8,9,9,10,11,12,13,13,13,13,12,12,13,15,17,19,21,23,24,24,24,23,23,23,22,22,22,24,25,27,29,31,33,33,34,33,30,27,23,20,18,18,18,19,18,18,18,19,20,21,22,21,23,26,29,30,30,30,29,27,27,27,28,30,29,26,23,20,18,17,17,21,28,34,39,45,52,61,68,73,79,87,92,91,94,92,85,78,68,54,42,34,27,23,28,36,45,55,64,62,57,49,37,28,27,32,38,45,49,52,50,48,53,65,76,95,103,108,105,97,88,77,67,64,62,61,60,57,53,47,43,37,36,36,34,32,30,28,26,24,23,23,25,26,26,25,23,24,25,29,33,38,43,47,49,45,43,41,40,39,37,34,31,27,26,26,30,42,61,82,96,96,83,65,47,32,24,28,37,57,68,75,73,65,56,46,38,40,41,41,41,41,40,40,39,39,38,36,33,29,25,22,20,20,22,25,26,27,28,31,33,41,51,62,68,71,72,66,59,45,35,25,21,22,28,40,51,66,78,88,87,81,73,64,56,45,40,35,34,36,38,37,36,37,34,31,28,26,27,29,30,35,35,34,30,27,28,33,39,51,60,69,71,68,63,55,47,47,48,50,53,55,54,50,47,43,45,50,59,74,91,107,117,123,117,104,87,68,52,42,38,41,43,47,50,51,46,39,34,24,22,20,19,21,26,32,36,47,49,50,49,47,46,47,48,54,59,66,71,73,71,67,63,57,52,45,39,35,31,27,24,23,20,18,20,21,22,28,36,39,45,48,45,40,35,29,23,22,23,25,28,32,36,40,42,49,51,53,56,57,52,46,40,32,29,25,20,17,17,17,18,24,24,26,26,26,25,23,22,20,20,20,20,20,19,19,19,18,17,16,15,15,16,17,18,25,26,28,29,29,27,25,23,19,18,16,15,15,17,19,21,24,25,26,27,28,28,28,28,26,26,25,25,24,23,22,22,22,21,19,18,16,14,13,12,12,11,11,11,10,10,10,10,10,10,10,9,9,8,8,8,9,9,9,9,9,9,9,9,10,9,9,9,8,8,8,8,8,7,7,7,6,6,6,6,5,5,5,5,5,5,5,5,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,5,5,6,6,6,7,7,7,6,6,6,6,6,6,6,6,6,7,7,8,8,9,9,9,10,10,11,12,12,12,12,12,12,13,15,17,19,21,23,24,23,23,22,22,21,21,21,21,24,25,26,28,29,29,29,29,27,25,23,20,18,17,17,16,19,18,18,17,18,19,20,21,20,23,28,32,35,34,33,31,28,27,25,25,26,25,22,20,18,17,16,18,21,27,33,37,43,49,58,64,67,71,77,81,80,82,82,77,72,66,55,45,35,29,25,29,35,40,47,54,54,51,45,36,29,27,31,36,39,44,48,49,52,62,77,89,102,109,112,106,97,87,76,66,63,61,59,55,51,46,41,38,34,34,34,34,33,31,29,28,26,24,23,23,25,26,26,25,26,28,31,35,39,42,44,45,41,40,39,39,38,36,32,29,25,24,24,29,41,59,78,90,89,76,58,42,29,26,35,47,68,78,86,82,71,58,45,35,36,37,38,38,37,36,34,33,35,35,35,34,31,28,24,22,20,23,26,28,30,32,36,38,46,55,64,68,70,69,62,53,39,30,22,21,24,31,44,56,69,79,85,81,71,61,49,40,33,31,29,31,35,38,39,39,39,36,32,29,28,29,31,33,38,37,35,31,28,28,32,35,44,50,57,59,57,52,47,43,48,50,51,52,51,47,43,39,37,40,45,53,65,79,91,98,108,101,89,73,56,43,36,33,35,37,41,44,45,41,34,28,22,22,21,23,27,33,39,43,54,54,54,51,48,46,46,48,54,58,65,70,72,69,64,61,55,51,45,39,35,31,27,24,24,20,18,19,19,21,28,37,40,47,52,50,45,41,34,27,24,25,27,29,32,36,39,41,45,46,48,50,50,46,40,35,28,26,22,19,17,16,17,18,22,23,25,26,26,26,24,23,21,21,20,20,20,20,19,19,18,17,15,14,13,14,15,16,22,23,25,26,26,25,23,21,19,17,15,14,14,16,18,19,21,22,23,24,24,24,24,24,24,23,23,22,21,20,20,19,19,19,18,16,15,14,13,12,11,11,11,10,10,10,9,9,10,10,10,9,9,8,8,8,9,9,9,9,9,9,9,9,9,9,9,8,8,8,7,7,7,7,7,6,6,6,5,5,5,5,5,5,5,5,5,5,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,5,5,5,6,6,6,7,7,6,6,6,6,6,6,6,6,7,8,8,8,8,9,9,9,10,10,10,10,10,11,12,12,13,13,15,17,19,21,23,23,22,22,20,19,19,19,20,20,23,24,25,25,26,25,25,25,22,22,20,19,18,17,17,16,19,18,17,17,17,19,21,23,23,27,32,37,40,39,37,36,32,29,26,24,24,23,21,19,17,17,17,18,22,26,31,34,37,43,50,54,56,58,63,66,67,71,74,74,73,70,62,53,41,33,28,29,32,34,39,45,47,46,43,37,31,29,32,36,40,44,49,53,59,70,86,97,108,113,112,103,91,81,70,61,59,58,55,51,45,41,37,36,36,37,38,39,38,36,34,32,30,28,26,26,27,29,29,28,29,31,33,36,38,40,40,41,39,39,39,41,41,39,35,31,25,23,22,27,38,54,70,79,80,68,52,39,30,31,43,56,77,87,92,86,73,59,44,32,31,32,33,34,33,31,29,28,32,33,35,35,34,31,27,25,21,23,26,28,31,35,41,45,50,59,67,70,71,69,61,52,39,31,23,22,26,33,45,57,66,74,78,72,61,50,39,31,28,28,29,32,37,40,42,42,39,36,33,30,29,29,31,32,37,36,33,30,28,28,30,32,36,39,42,44,43,40,39,40,46,49,51,51,48,43,38,35,33,36,41,48,58,68,77,82,89,84,75,62,48,38,32,30,30,32,35,39,40,38,32,28,27,27,28,31,36,42,47,51,58,57,55,52,47,45,45,46,52,56,63,68,69,67,63,59,55,52,46,42,38,34,30,27,25,20,18,18,18,20,27,35,39,47,53,52,47,43,36,28,25,26,27,29,31,34,37,38,40,39,40,41,41,38,32,28,21,20,18,16,15,16,17,19,20,22,23,25,26,25,24,24,22,22,22,22,22,22,22,21,21,19,17,15,14,14,14,15,19,21,23,24,24,23,21,20,18,17,15,13,13,14,16,18,19,19,20,21,21,21,21,20,21,20,20,19,18,17,17,16,17,17,16,15,14,13,12,12,11,11,10,10,10,9,9,9,10,10,10,9,9,8,8,8,9,9,9,9,9,9,9,9,9,9,8,8,8,7,7,7,7,7,6,6,6,5,5,5,5,5,5,5,5,5,5,5,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,4,5,5,5,6,6,6,6,5,5,6,6,6,6,7,7,8,8,8,9,9,9,9,9,10,9,9,9,9,10,11,12,14,15,16,17,19,20,21,22,21,20,18,17,16,17,18,19,22,22,23,23,23,23,22,22,20,19,19,19,19,18,18,18,19,18,17,16,18,20,23,25,28,31,36,41,43,43,41,39,35,32,27,24,22,21,20,18,17,17,18,19,22,25,28,30,31,36,41,43,43,44,48,52,55,63,71,75,78,77,70,60,46,37,28,27,28,30,36,42,43,45,45,41,36,34,36,39,46,49,53,58,64,75,89,98,110,112,107,94,81,71,62,54,55,55,52,48,43,39,39,39,43,45,46,47,46,44,41,40,36,34,32,31,32,33,32,31,34,34,34,35,35,35,36,36,38,39,41,45,46,45,40,36,28,24,22,25,34,47,59,66,68,59,46,37,32,34,48,62,82,90,93,84,70,55,41,30,27,28,30,31,31,29,27,25,29,31,34,36,36,33,29,26,21,23,25,27,31,37,45,51,56,65,72,75,74,71,62,53,41,32,25,23,26,32,43,54,61,68,70,62,51,42,34,27,27,29,32,35,38,40,41,42,36,35,33,31,29,29,29,30,34,32,29,27,26,27,28,29,32,30,31,32,32,32,36,42,47,50,53,53,48,42,37,34,34,36,40,46,53,61,67,71,69,67,63,55,45,36,31,29,30,31,33,37,40,40,38,35,37,38,40,43,47,52,56,58,60,59,56,51,46,43,43,44,50,54,59,63,65,64,61,59,58,54,50,46,43,39,35,31,26,22,20,21,20,20,26,33,37,45,51,49,46,42,35,28,25,25,26,27,29,31,33,34,34,33,33,33,32,30,26,22,17,16,15,14,15,16,17,18,18,19,21,23,24,24,24,23,22,22,23,23,24,24,24,25,24,22,20,17,15,14,15,15,17,19,21,23,23,22,20,19,17,16,14,12,12,13,15,16,17,18,19,19,19,19,18,18,18,18,17,16,15,15,14,14,15,14,14,14,13,12,12,12,10,10,10,10,9,9,9,8,10,10,10,9,9,8,8,8,9,9,9,9,9,9,9,9,8,8,8,8,7,7,7,6,6,6,6,6,5,5,5,4,5,5,5,5,5,5,5,5,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,4,4,5,5,5,6,6,6,5,5,5,6,6,7,7,7,9,9,9,9,9,9,9,9,10,9,8,8,8,9,11,12,16,16,17,18,18,19,20,20,19,18,16,14,14,15,16,17,20,20,21,22,22,21,20,20,18,19,19,20,20,20,20,20,18,17,16,16,18,22,26,28,32,35,38,42,44,44,43,41,38,33,27,23,21,20,18,17,18,18,19,20,22,23,25,26,27,30,33,33,32,33,37,41,51,61,73,81,86,86,77,66,49,38,27,24,25,28,36,44,47,50,52,50,46,44,45,48,52,55,58,62,67,76,87,94,99,99,93,80,69,62,57,52,53,53,52,48,43,42,43,46,52,53,55,56,55,53,49,47,45,43,42,41,42,41,39,37,38,37,35,33,32,31,32,32,37,39,43,48,51,50,45,41,31,26,22,23,30,41,49,54,56,48,40,34,31,35,48,62,79,85,85,75,60,46,34,25,25,26,29,31,31,30,28,26,24,27,32,35,36,33,29,26,22,23,23,25,29,38,48,55,64,72,79,79,77,72,62,53,41,32,24,23,25,30,41,51,58,63,63,54,43,36,30,25,27,30,33,36,37,37,38,38,33,32,32,31,30,28,27,26,29,27,25,24,25,26,27,28,33,27,25,26,27,29,38,48,56,60,63,62,55,48,42,39,45,45,45,46,49,52,54,56,56,57,58,55,48,41,35,32,33,34,35,40,44,48,48,48,49,50,52,54,57,61,63,65,61,60,56,51,45,43,43,44,48,51,55,59,61,62,61,60,61,58,54,51,48,44,39,36,30,26,24,25,23,22,26,32,35,42,47,45,42,39,33,27,24,24,24,25,26,28,30,31,31,30,28,28,27,25,21,18,17,17,16,15,15,16,16,17,16,17,19,22,23,23,23,23,21,21,22,23,24,25,26,26,26,24,21,18,16,14,14,14,16,18,20,22,23,22,20,19,17,15,13,11,11,12,13,15,17,17,18,18,18,18,17,16,16,16,15,14,13,13,12,12,13,13,13,12,12,12,12,12,10,10,10,9,9,9,8,8,10,10,10,9,9,8,8,8,9,9,9,9,9,9,9,9,8,8,8,7,7,7,6,6,6,6,6,5,5,5,4,4,5,5,5,5,5,5,5,5,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,4,4,4,5,5,6,6,6,5,5,5,6,6,7,7,7,9,9,9,9,9,9,9,9,9,9,8,7,8,9,10,12,17,17,17,18,18,19,19,19,18,17,14,12,12,13,15,16,19,19,20,20,21,20,20,19,18,18,20,21,21,21,21,21,18,17,16,17,19,23,28,31,34,36,39,42,44,44,43,42,38,34,27,22,20,19,17,16,18,19,19,20,21,22,23,24,25,27,29,28,26,27,31,36,52,64,78,88,94,93,83,71,50,37,25,21,23,28,38,48,53,57,60,59,56,54,54,56,56,58,61,64,68,75,84,90,83,84,79,68,60,57,56,53,52,53,52,49,45,44,47,51,58,59,61,62,61,58,54,52,54,52,51,50,50,49,46,43,41,38,35,31,29,29,29,30,36,38,43,49,53,52,48,44,33,28,22,22,28,37,43,47,47,41,35,32,30,34,47,60,73,78,76,64,49,37,26,18,24,26,29,32,32,31,29,27,21,25,30,34,35,32,28,25,23,22,22,23,28,38,50,58,70,78,83,83,79,73,62,52,39,31,23,22,24,29,39,49,56,60,59,49,38,32,28,24,28,30,34,36,35,34,34,34,30,31,31,31,30,28,25,24,25,24,22,22,24,26,27,27,35,27,23,24,26,30,41,54,67,71,74,71,64,55,49,46,58,56,52,48,46,44,43,43,51,54,58,58,53,47,41,38,38,37,39,43,49,54,57,57,57,58,59,61,64,66,67,68,62,60,57,51,46,43,43,45,47,49,52,56,59,60,61,61,63,60,57,54,51,47,43,39,32,29,28,28,26,24,26,32,33,40,44,42,39,37,32,26,22,22,23,23,24,26,27,28,30,28,26,26,25,23,19,17,20,19,18,16,16,15,15,16,14,16,18,21,22,23,22,22,19,20,21,22,24,25,27,27,26,24,21,18,15,14,13,13,16,18,20,22,23,22,20,19,17,15,13,11,10,11,13,14,16,17,17,18,18,17,16,16,15,14,14,13,12,12,11,11,12,12,12,12,12,12,12,12,10,10,10,9,9,8,8,8,10,10,10,9,9,8,8,8,9,9,9,9,9,9,9,9,8,8,8,7,7,6,6,6,6,6,6,5,5,4,4,4,5,5,5,5,5,5,5,5,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,5,5,5,6,6,6,6,6,6,6,6,8,8,8,8,8,8,8,8,7,7,7,8,9,10,12,13,16,16,17,18,18,18,17,17,13,13,12,11,11,12,12,13,14,14,15,16,17,17,18,18,18,18,19,20,20,20,19,19,18,18,18,19,22,27,32,36,41,42,42,42,41,40,38,36,31,29,26,23,20,19,18,18,16,16,17,18,18,19,20,20,20,23,24,23,21,23,30,37,55,69,84,93,94,88,74,61,42,35,25,21,26,36,47,53,64,65,66,66,64,60,56,54,54,55,58,61,65,68,70,72,71,67,60,54,51,52,54,57,58,55,51,47,46,47,49,51,59,62,65,66,63,60,58,57,58,58,58,58,57,55,51,48,44,36,30,31,31,26,26,30,37,40,45,51,54,52,47,42,35,31,26,25,27,32,35,37,35,32,27,25,29,36,45,51,66,65,61,52,41,30,23,20,21,30,37,39,40,40,34,26,26,26,27,29,32,32,30,28,23,21,20,22,29,41,53,60,72,76,81,83,80,72,62,56,38,32,25,21,24,31,39,43,51,50,48,42,36,30,28,28,27,30,33,33,30,28,29,32,32,36,38,36,34,34,31,25,26,23,20,21,25,31,35,37,34,33,29,26,28,39,54,65,78,86,87,76,66,61,58,55,59,66,68,58,45,39,37,36,42,50,60,66,65,58,50,44,41,41,43,48,54,60,63,64,66,64,63,64,66,68,68,68,62,60,56,52,49,47,47,46,49,49,51,52,54,56,58,58,60,60,59,58,54,50,45,43,36,35,34,33,31,29,28,27,30,31,32,33,32,30,27,25,18,18,19,20,21,23,24,24,21,23,24,24,23,22,23,24,22,21,21,20,19,18,17,17,14,15,17,18,19,20,20,20,21,20,20,20,21,23,26,27,27,26,24,21,19,16,14,13,15,16,17,19,19,20,20,19,16,15,13,11,10,10,10,11,14,15,15,16,16,15,15,14,12,12,12,11,11,10,10,10,13,13,12,11,10,10,10,10,11,11,10,9,8,8,7,6,7,7,7,8,8,9,9,9,10,10,10,10,10,10,10,10,7,7,7,7,7,7,7,7,6,6,6,5,5,4,4,4,4,4,4,4,4,4,4,4,5,5,5,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,5,5,5,6,6,6,6,6,6,6,6,8,8,8,8,8,8,8,8,7,7,7,8,9,10,12,13,16,16,17,17,17,17,16,16,13,12,12,11,11,11,12,12,13,14,14,15,16,17,17,18,18,18,19,19,19,19,19,18,19,18,18,20,24,29,34,37,42,42,42,42,40,38,35,34,31,29,25,22,20,18,18,18,16,16,17,18,18,19,20,20,18,21,22,21,20,22,29,35,53,66,80,87,88,82,68,56,39,33,26,24,30,40,50,56,66,67,67,65,62,57,52,48,47,48,49,52,55,57,59,60,58,56,52,50,50,52,55,57,58,55,50,45,43,44,46,48,56,58,61,61,58,56,55,55,57,57,58,58,57,55,52,50,48,40,36,37,37,33,32,35,37,39,44,49,53,52,48,44,37,33,28,26,27,30,32,33,33,30,27,25,29,35,43,48,57,55,51,44,35,27,22,20,25,33,41,43,44,42,35,27,25,25,26,29,32,34,32,31,26,25,23,25,31,41,51,58,68,72,77,79,76,69,60,54,38,32,25,22,25,31,38,42,49,49,46,40,34,29,28,28,29,32,35,35,32,31,34,37,40,45,47,46,44,43,38,32,29,26,23,24,28,33,36,38,36,34,31,28,31,43,59,71,84,91,91,80,70,66,65,63,69,76,75,64,49,40,35,32,41,49,60,67,67,60,52,46,45,45,46,50,57,62,66,67,68,65,63,62,63,63,62,61,58,56,53,50,48,47,46,46,48,49,50,51,52,54,54,55,57,57,56,55,52,47,43,41,37,36,35,34,32,31,30,29,29,30,31,32,31,29,27,25,20,19,19,20,21,22,24,25,23,24,25,25,24,24,25,27,26,26,26,24,22,20,18,17,16,17,18,19,19,19,19,19,19,19,18,19,20,22,25,26,26,25,23,21,18,16,14,13,14,15,17,18,19,19,19,19,16,15,13,12,11,11,12,13,14,15,15,16,16,15,15,14,12,12,12,11,11,11,10,10,12,12,11,10,10,10,11,11,11,11,10,10,9,8,7,7,7,7,7,8,8,9,9,9,10,10,10,10,10,10,10,10,7,7,7,7,7,7,7,7,6,6,6,5,5,4,4,4,4,4,4,4,4,4,4,4,5,5,5,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,5,5,5,6,6,6,6,6,6,6,6,7,7,7,7,7,7,7,7,7,7,7,8,9,10,12,13,15,15,16,16,16,16,15,14,12,11,11,10,10,11,12,12,12,13,13,14,15,16,16,17,18,18,18,18,18,18,18,17,19,19,20,22,25,31,35,38,43,42,41,40,37,34,32,30,29,27,24,21,19,17,17,17,16,16,17,18,18,19,20,20,16,18,20,20,20,22,28,34,50,61,73,78,77,71,59,48,34,31,27,29,36,45,54,58,66,66,64,60,55,48,42,39,37,38,40,42,44,45,47,48,43,44,45,47,50,53,57,58,58,54,48,43,40,40,41,43,50,51,52,52,50,49,50,51,53,54,55,56,55,54,52,51,50,45,43,45,45,42,40,41,38,40,43,47,50,50,47,44,40,36,31,28,28,29,30,30,30,28,27,27,29,34,40,44,45,44,40,34,27,23,21,22,30,38,46,49,48,45,37,28,24,24,26,29,34,36,36,35,32,30,28,29,33,41,49,54,61,65,69,71,69,63,56,51,38,33,26,24,26,32,38,42,48,46,43,37,31,28,28,29,32,35,38,37,35,35,39,43,49,55,59,58,56,54,47,40,35,32,29,30,33,37,40,41,38,36,33,30,34,46,63,75,87,91,90,80,70,67,68,69,78,84,84,73,58,46,37,31,39,46,57,66,67,61,51,44,40,39,40,43,50,56,61,62,67,64,60,58,56,55,53,51,51,50,48,47,46,46,46,46,48,48,48,48,49,49,49,49,51,51,51,49,47,43,40,38,37,37,36,35,34,34,33,32,30,31,32,32,31,30,28,26,23,22,21,20,20,22,25,26,25,26,27,26,25,25,27,29,31,31,32,31,28,25,21,19,20,20,20,20,20,19,18,17,16,16,16,16,18,21,23,25,25,24,22,20,18,16,14,13,13,14,15,17,17,18,18,17,15,14,13,12,11,12,14,14,15,15,16,16,16,16,15,15,12,12,12,12,11,11,11,10,11,10,10,10,10,11,11,12,11,11,10,10,9,8,8,8,7,7,7,8,8,9,9,9,10,10,10,10,10,10,10,10,7,7,7,7,7,7,7,7,6,6,6,5,5,4,4,4,4,4,4,4,4,4,4,4,5,5,5,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,5,5,5,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,7,7,7,8,9,10,12,13,14,14,15,15,14,14,13,12,10,10,10,9,10,10,11,12,12,12,13,13,14,15,16,16,18,17,17,16,16,16,16,16,19,19,21,23,27,31,36,38,42,41,39,36,33,30,28,26,27,25,22,19,17,16,16,16,16,16,17,18,18,19,20,20,17,18,20,20,21,23,28,32,45,54,63,65,64,59,49,39,30,29,29,33,40,48,54,57,60,59,56,51,45,37,31,28,29,30,32,34,36,39,40,41,38,40,45,50,55,58,60,61,58,53,46,39,35,34,36,37,41,42,42,40,39,39,41,43,46,48,50,51,50,49,49,50,50,49,49,52,54,52,50,48,44,43,43,44,46,45,43,41,39,36,32,30,30,30,30,29,29,29,28,29,31,35,38,41,40,38,34,28,23,21,22,24,35,43,51,53,52,48,38,29,23,23,25,30,35,39,41,40,38,37,35,34,36,40,45,49,53,56,59,61,60,56,51,48,40,35,29,27,30,35,40,42,47,45,41,35,30,29,31,34,38,41,43,42,40,41,45,49,57,63,68,68,66,62,54,45,41,38,36,36,39,43,45,46,42,40,36,32,33,44,60,71,81,82,80,71,62,60,63,67,79,87,89,81,68,56,45,37,37,43,52,59,61,55,45,37,30,29,29,33,40,47,52,54,59,56,51,48,47,45,42,40,42,42,42,43,43,44,44,45,46,46,45,45,44,43,43,43,44,44,44,43,41,38,36,34,37,37,37,36,36,36,36,35,33,33,34,35,34,33,32,32,29,26,23,20,20,23,26,28,26,27,28,27,25,25,26,28,32,33,35,35,34,30,26,24,23,23,23,22,20,19,17,16,13,13,13,14,16,19,22,23,23,22,21,19,17,16,14,14,12,13,14,15,16,17,16,16,13,13,11,11,11,12,13,15,15,15,16,17,17,16,15,15,13,13,12,12,12,11,11,11,9,9,9,9,10,11,12,13,11,11,11,10,10,9,9,8,7,7,7,8,8,9,9,9,9,9,9,9,9,9,9,9,7,7,7,7,7,7,7,7,6,6,6,5,5,4,4,4,4,4,4,4,4,4,4,4,5,5,5,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,5,5,5,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,7,7,7,8,9,10,12,13,13,13,13,13,13,12,11,10,9,9,8,9,9,10,11,12,12,12,13,13,14,15,16,16,18,17,16,14,14,14,15,15,19,19,21,23,26,30,33,35,37,36,34,31,28,26,24,23,25,23,20,18,16,15,15,15,16,16,17,18,18,19,20,20,19,20,21,22,23,25,28,31,38,46,52,52,51,48,40,32,29,28,30,34,41,47,50,51,48,47,44,40,34,28,23,20,22,24,26,29,32,36,38,39,42,45,52,58,62,64,64,64,56,50,42,34,30,29,30,32,34,34,33,31,29,29,32,35,37,40,42,43,41,41,43,45,50,52,56,61,64,65,61,57,51,48,44,42,41,40,38,36,36,34,31,31,32,32,32,31,30,30,30,32,33,36,38,39,39,37,34,28,24,23,26,28,38,46,53,54,52,48,39,30,23,23,25,30,37,42,44,45,43,42,40,39,39,40,42,43,45,46,49,51,51,50,47,45,42,38,33,31,33,38,41,43,46,43,39,33,30,32,36,41,49,51,54,52,50,49,52,56,63,70,75,74,72,67,58,49,44,42,40,41,44,47,49,49,46,43,38,32,31,37,50,60,70,70,67,60,52,49,54,61,78,87,93,88,78,66,53,42,37,40,45,49,50,45,36,29,24,24,24,28,35,42,46,48,46,43,39,37,36,35,33,31,34,35,37,38,40,41,42,42,43,43,42,40,39,38,37,36,38,38,37,36,35,33,32,31,35,36,36,36,36,37,37,37,36,37,38,39,39,40,40,40,35,31,26,22,21,24,28,31,30,32,32,30,27,25,25,25,28,30,33,35,36,34,31,30,26,26,25,24,21,19,17,15,12,12,12,13,14,17,19,21,21,21,20,18,17,16,15,14,12,13,14,15,16,16,16,16,12,12,10,10,10,11,13,14,15,16,17,17,17,17,16,15,13,13,13,12,12,12,11,11,9,9,9,9,9,10,11,12,11,11,11,10,10,10,10,9,7,7,7,8,8,9,9,9,9,9,9,9,9,9,9,9,7,7,7,7,7,7,7,7,6,6,6,5,5,4,4,4,4,4,4,4,4,4,4,4,5,5,5,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,5,5,5,6,6,6,6,6,6,6,6,5,5,5,5,5,5,5,5,7,7,7,8,9,10,12,13,12,12,12,12,11,10,9,8,8,8,7,8,8,10,11,11,12,13,13,14,15,16,16,17,18,17,15,13,12,12,13,14,18,19,20,22,24,27,29,31,31,30,28,26,24,23,22,22,23,21,18,16,14,13,14,14,16,16,17,18,18,19,20,20,21,21,22,22,23,25,27,28,31,37,41,40,40,39,35,28,30,30,31,34,38,41,41,41,36,35,33,31,28,25,23,21,20,22,24,28,31,35,38,39,48,52,58,63,66,67,66,64,53,47,38,30,25,24,26,28,29,30,29,26,24,23,25,27,29,33,35,35,33,32,35,39,48,55,62,68,74,76,72,66,56,51,44,39,36,35,34,33,33,32,31,32,34,34,33,32,31,31,31,32,34,35,37,38,39,37,35,31,27,27,30,32,40,47,52,52,50,47,39,31,24,24,26,31,38,44,47,48,46,45,44,42,41,39,39,39,37,39,41,43,44,44,44,44,42,39,35,34,36,39,41,42,43,40,35,31,29,34,41,47,59,62,65,63,59,57,58,60,65,71,76,75,72,67,58,49,43,42,41,42,45,49,50,50,48,45,39,32,28,30,39,46,60,58,56,51,44,41,46,55,74,84,93,92,84,73,58,46,40,38,38,39,40,38,31,25,22,21,22,25,30,34,36,36,34,32,29,27,27,27,25,24,28,29,32,34,37,38,39,39,40,39,38,36,35,33,32,31,33,32,32,31,30,30,29,29,32,33,34,34,35,36,37,37,38,39,40,42,44,46,47,48,42,37,29,24,22,26,31,35,39,41,42,39,34,29,25,24,24,26,29,32,34,34,34,33,28,28,27,25,22,20,17,16,13,12,12,12,13,15,17,19,19,19,18,17,16,15,15,14,12,13,14,15,16,16,16,16,14,13,11,10,10,11,12,13,16,16,17,17,17,17,16,16,14,13,13,13,12,12,12,12,10,9,9,8,9,9,10,11,11,11,11,11,11,10,10,10,7,7,7,8,8,9,9,9,8,8,8,8,8,8,8,8,7,7,7,7,7,7,7,7,6,6,6,5,5,4,4,4,4,4,4,4,4,4,4,4,5,5,5,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,5,5,5,6,6,6,6,6,6,6,6,4,4,4,4,4,4,4,4,7,7,7,8,9,10,12,13,11,11,11,11,10,9,7,6,7,7,7,7,8,9,10,11,13,14,14,15,16,17,17,18,18,16,14,12,11,11,12,13,17,18,19,20,22,24,25,26,25,24,22,21,20,20,21,21,21,20,17,15,13,13,13,13,16,16,17,18,18,19,20,20,22,21,21,21,23,23,23,23,24,29,32,32,32,34,32,27,33,32,31,32,33,33,32,30,26,27,27,28,28,28,28,28,26,27,30,32,36,38,41,42,50,54,59,63,66,65,64,62,51,45,35,27,22,21,24,26,29,29,29,26,23,21,22,23,24,28,31,30,26,26,30,34,42,52,62,69,77,81,77,69,58,52,43,36,34,33,34,34,33,32,32,33,35,35,33,31,31,31,30,31,32,33,35,36,35,35,34,31,30,30,33,36,39,45,49,48,47,45,39,32,25,25,27,32,39,45,49,50,47,47,46,44,42,39,36,35,32,33,35,37,39,40,42,43,41,38,34,33,35,38,40,40,39,36,31,27,28,34,44,52,63,67,70,68,62,57,55,56,60,66,69,67,64,60,51,43,39,38,37,39,43,47,48,48,47,45,40,32,26,26,31,37,51,48,46,44,38,33,39,49,63,76,88,93,90,81,66,53,43,38,33,32,34,35,33,30,27,27,27,28,30,30,28,26,28,26,23,22,22,21,20,18,23,25,28,31,34,36,36,36,36,36,35,33,32,30,29,28,29,29,28,28,27,28,28,28,29,30,31,32,34,35,36,37,39,39,41,44,47,50,52,54,47,41,33,26,24,27,33,38,51,53,54,52,45,36,29,25,21,22,25,27,30,32,32,33,29,29,27,26,23,21,18,17,14,14,13,12,13,14,16,17,18,18,17,17,16,15,15,15,13,13,15,16,17,17,17,17,17,16,14,13,12,12,13,14,16,17,17,18,18,17,17,16,14,14,13,13,13,12,12,12,11,10,9,8,8,8,9,9,11,11,11,11,11,11,11,11,7,7,7,8,8,9,9,9,8,8,8,8,8,8,8,8,7,7,7,7,7,7,7,7,6,6,6,5,5,4,4,4,4,4,4,4,4,4,4,4,5,5,5,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,5,5,5,6,6,6,6,6,6,6,6,4,4,4,4,4,4,4,4,7,7,7,8,9,10,12,13,10,11,11,10,9,8,6,6,6,6,6,7,8,9,10,11,14,14,15,16,17,17,18,18,18,16,13,11,10,10,12,13,17,17,18,19,20,21,22,22,21,20,19,18,18,19,20,21,20,19,16,14,12,12,12,13,16,16,17,18,18,19,20,20,22,21,20,20,21,22,21,20,21,25,28,27,28,31,31,27,35,33,31,30,30,28,25,23,22,23,25,27,30,32,34,35,34,35,37,39,41,43,44,45,49,52,57,61,63,63,61,59,49,43,33,25,20,20,22,25,30,30,30,28,24,21,21,22,22,26,29,27,23,23,27,31,35,46,58,66,75,80,76,67,57,51,41,35,32,33,34,35,34,33,33,34,35,34,32,29,30,30,29,29,30,31,34,35,30,31,32,31,31,32,35,37,39,44,47,46,44,43,38,32,26,26,27,32,39,46,50,51,48,48,47,45,42,39,35,33,30,30,32,33,36,39,41,42,39,36,33,32,34,37,38,38,36,33,28,25,26,34,45,53,61,65,69,67,60,53,50,49,53,59,61,59,55,51,43,35,35,34,34,37,41,45,46,46,46,45,40,33,26,24,28,33,44,41,40,39,33,27,33,44,52,67,83,92,93,87,74,62,46,39,31,29,33,36,37,35,39,39,38,38,37,35,30,26,26,24,21,19,19,19,17,15,21,23,26,30,32,34,35,35,34,34,33,31,30,28,27,27,27,27,26,26,26,26,27,28,27,28,29,31,33,34,35,36,38,39,41,44,48,52,55,57,50,44,34,27,25,28,35,40,59,62,64,61,52,42,33,28,20,21,22,24,27,29,30,31,29,29,28,26,24,21,19,17,16,15,13,12,12,13,15,16,17,17,17,16,16,15,15,15,13,14,15,16,17,18,18,17,20,19,17,15,14,14,15,15,16,17,17,18,18,17,17,16,14,14,14,13,13,12,12,12,11,11,10,8,8,8,8,8,11,11,11,11,11,11,11,11,7,7,7,8,8,9,9,9,8,8,8,8,8,8,8,8,7,7,7,7,7,7,7,7,6,6,6,5,5,4,4,4,4,4,4,4,4,4,4,4,5,5,5,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,4,4,4,5,5,6,6,6,6,7,8,9,10,11,11,11,8,8,8,7,7,6,6,6,8,8,9,10,10,11,12,12,13,13,13,14,14,15,15,15,14,13,12,11,11,11,11,12,14,14,15,15,15,14,14,13,12,14,16,19,20,21,21,20,21,19,16,13,12,12,13,14,15,17,19,19,18,18,19,20,21,21,20,20,20,21,21,22,20,22,25,28,30,31,31,31,30,29,28,26,25,24,23,23,23,25,30,35,39,42,44,45,45,45,44,43,42,40,40,39,41,44,48,52,54,55,55,55,49,43,33,25,20,20,23,25,33,34,34,30,24,20,21,23,23,26,28,28,26,25,24,25,31,39,51,62,68,69,66,63,48,44,38,34,33,32,32,31,35,35,36,38,40,39,36,33,31,30,28,27,27,28,29,30,26,28,29,30,30,31,33,36,38,39,40,41,39,36,34,32,24,27,32,38,42,44,45,45,44,43,40,38,35,32,30,29,26,28,31,33,35,36,36,36,34,32,29,29,32,34,36,36,33,28,23,20,23,30,39,46,57,60,61,57,50,43,40,40,41,46,49,47,45,43,38,31,26,27,28,31,34,38,41,42,45,43,39,33,28,25,25,26,35,40,45,43,37,31,30,31,50,59,74,87,91,85,73,63,51,41,32,31,34,40,49,58,55,56,56,53,47,38,30,25,21,20,18,17,16,16,17,18,17,19,23,27,30,31,30,30,29,30,30,30,30,29,28,27,27,26,25,24,24,24,26,27,29,29,30,31,33,34,35,35,37,37,39,41,44,48,50,52,48,43,35,27,24,28,35,42,58,67,73,71,64,55,43,33,21,19,18,18,20,23,24,23,27,27,27,27,26,24,22,20,19,17,15,12,11,11,12,13,15,15,16,17,17,17,16,16,18,17,17,17,18,20,22,24,22,22,21,19,18,16,15,15,15,15,16,17,17,16,16,15,14,13,13,12,12,13,14,14,11,11,11,10,10,9,9,9,10,10,10,10,10,10,10,10,10,11,11,11,11,10,9,8,7,7,7,7,7,7,7,7,7,8,8,9,9,8,8,7,5,6,6,6,6,5,4,3,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,4,4,4,5,5,6,6,6,6,7,8,9,10,10,10,10,8,8,8,7,7,6,6,6,8,8,9,10,10,11,12,12,13,13,13,14,14,14,15,15,14,13,12,11,11,11,11,12,13,13,14,14,14,13,13,13,12,14,17,19,21,22,22,22,21,19,16,13,12,12,13,14,17,18,20,20,19,18,19,20,20,21,21,21,22,22,23,23,22,23,25,27,28,29,29,29,29,28,26,25,24,24,25,25,31,33,37,41,45,48,50,51,49,48,46,44,41,39,37,36,37,39,43,48,51,53,53,53,49,43,33,25,21,22,26,29,37,39,39,35,29,24,24,25,25,28,31,32,30,27,25,25,30,37,47,56,61,61,57,54,45,41,37,35,35,36,36,35,39,38,39,41,42,41,38,35,30,29,27,26,26,27,29,30,26,27,28,27,26,27,30,32,35,36,38,38,37,35,33,31,25,28,32,36,39,42,42,43,40,39,37,34,32,32,31,31,30,31,34,36,36,36,35,34,31,29,28,29,32,35,37,37,34,29,23,20,21,28,36,42,51,53,55,51,44,38,36,37,37,43,47,47,45,43,37,29,26,26,27,28,30,33,36,38,43,42,40,35,30,28,28,29,37,42,47,46,40,34,32,32,39,49,64,79,87,85,76,68,55,45,37,36,41,48,59,68,73,72,69,62,53,41,31,24,21,20,18,17,17,17,18,18,17,20,24,28,30,31,31,30,29,29,30,30,29,28,27,27,26,26,25,24,24,25,27,28,28,28,29,31,33,34,36,37,38,38,38,39,41,44,46,48,47,43,35,28,24,27,34,40,57,67,75,74,68,59,47,37,25,22,19,18,19,20,20,20,23,24,26,27,27,26,24,23,21,19,16,14,12,12,13,13,16,16,17,18,18,17,17,16,17,16,16,16,18,20,23,24,24,24,24,23,21,19,17,16,16,16,17,17,17,16,15,15,13,13,12,12,12,13,13,14,11,11,11,10,10,9,9,9,10,10,10,10,10,10,10,10,10,10,11,11,10,10,9,8,7,7,7,7,7,7,7,7,7,8,8,9,9,8,8,7,5,6,6,6,6,5,4,3,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,4,4,4,5,5,6,6,6,6,7,8,9,10,10,10,10,8,8,7,7,7,7,6,6,8,8,9,10,10,11,12,12,13,13,13,13,14,14,14,15,13,13,12,11,11,11,11,11,11,12,12,12,12,12,12,12,13,14,17,20,23,24,24,24,20,18,16,13,12,12,14,15,18,19,20,20,18,17,18,19,20,21,22,24,25,25,26,26,25,25,26,26,26,26,26,26,26,25,24,24,25,26,28,29,39,40,42,46,49,52,54,55,52,50,47,43,39,35,32,31,29,32,37,42,47,51,53,54,51,44,35,26,23,25,30,34,42,44,44,39,32,27,25,26,28,31,35,37,34,29,26,24,28,33,41,48,51,50,46,44,41,39,38,39,41,43,43,42,44,43,43,44,45,44,41,39,30,29,26,25,25,27,29,31,31,31,30,28,26,25,27,29,31,32,33,34,34,33,32,31,27,28,31,33,36,37,38,38,35,33,31,29,30,32,34,36,37,39,40,40,39,37,34,33,28,27,27,30,34,37,39,39,36,31,24,19,19,24,31,36,42,45,46,43,37,32,32,33,34,42,48,50,49,46,38,29,28,27,25,25,26,28,31,33,38,39,39,37,33,31,31,32,38,44,50,51,46,39,35,33,32,40,55,69,79,80,74,69,56,47,40,42,48,57,69,80,88,85,79,70,57,44,32,25,21,20,19,18,18,18,18,19,19,21,25,28,31,32,31,31,28,28,29,29,29,28,27,26,25,24,24,24,25,26,27,28,27,27,28,30,32,35,37,39,39,38,36,35,35,37,39,41,44,41,34,28,24,26,31,35,52,63,74,76,72,65,53,43,33,28,23,19,17,17,17,16,18,20,23,27,28,29,28,27,24,22,20,17,15,14,15,15,17,17,18,18,18,18,17,17,15,15,15,16,17,20,23,24,27,28,28,28,27,24,21,19,17,17,17,17,17,16,14,14,13,13,12,11,11,12,12,13,11,11,10,10,10,10,9,9,10,10,10,10,10,10,10,10,10,10,11,11,10,9,8,8,7,7,7,7,7,7,7,7,7,7,8,8,8,8,7,7,5,6,6,6,6,5,4,3,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,5,5,6,6,6,6,7,8,9,9,9,9,9,7,7,7,7,7,7,7,7,8,8,9,10,10,11,12,12,12,12,13,13,13,14,14,14,13,12,11,11,10,10,11,11,10,10,10,10,10,10,11,12,13,15,18,21,24,25,25,25,20,18,15,13,12,13,14,15,18,19,19,18,16,15,17,18,21,23,25,28,29,30,29,29,28,27,26,24,23,23,23,23,21,21,22,24,27,31,34,36,41,42,42,44,47,50,52,54,52,50,46,41,35,30,26,24,22,25,31,38,46,52,56,58,55,48,38,29,26,28,34,38,44,46,45,40,32,26,25,25,30,35,40,41,37,31,25,22,25,29,35,40,42,42,39,37,40,40,41,45,49,52,52,51,49,48,47,47,48,47,44,42,32,30,27,25,26,29,34,36,39,39,37,33,29,26,27,28,26,27,29,30,31,31,31,30,28,29,29,30,31,32,33,34,31,29,27,26,29,34,39,43,48,48,49,47,44,40,35,32,28,28,29,33,38,42,43,42,38,33,25,19,18,21,27,31,36,38,39,37,32,29,31,33,38,47,55,58,57,53,43,33,30,29,26,24,24,26,28,29,33,35,36,36,33,32,32,32,40,46,53,55,51,45,38,35,33,39,50,61,69,70,66,62,55,46,41,44,52,62,74,84,90,86,79,68,56,42,32,25,20,20,20,19,19,19,19,20,20,23,26,30,32,33,32,31,28,28,29,29,28,27,26,26,22,22,23,23,24,25,25,26,25,25,26,28,31,35,38,40,41,38,35,32,30,31,32,33,38,36,32,26,23,23,26,29,42,54,67,72,71,67,59,50,41,35,28,22,19,17,16,15,14,16,21,26,29,31,32,32,28,26,24,21,19,17,17,17,17,17,18,18,18,17,16,16,14,14,14,15,17,20,22,24,29,30,32,33,31,28,24,22,20,19,19,19,17,16,14,13,13,12,11,11,10,11,11,11,10,10,10,10,10,10,10,10,9,9,9,9,9,9,9,9,9,10,10,10,10,9,8,7,6,6,6,6,6,6,6,6,6,7,8,8,8,8,7,6,5,6,6,6,6,5,4,3,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,5,5,6,6,6,6,7,8,8,9,9,8,8,7,7,7,7,7,7,7,7,8,8,9,10,10,11,12,12,12,12,12,13,13,13,14,14,13,12,11,10,10,10,10,11,9,9,8,8,9,10,11,12,14,16,19,22,24,25,25,25,19,18,15,13,12,13,15,16,16,17,17,16,14,14,16,18,24,27,30,33,35,34,33,32,30,28,25,22,20,20,20,21,18,20,23,27,32,37,41,43,41,40,40,40,42,44,47,49,48,46,42,37,31,26,22,19,17,21,28,37,46,54,60,63,59,52,42,34,30,32,37,40,47,48,46,40,32,27,26,28,34,39,43,44,40,32,26,22,23,26,30,35,37,38,38,37,42,43,47,52,57,60,59,57,53,51,49,49,49,48,45,43,34,32,29,27,29,34,40,44,48,47,45,40,33,28,26,26,24,25,26,28,29,30,30,31,30,29,28,27,27,28,30,31,29,27,26,27,32,39,47,51,59,59,59,56,52,45,39,35,32,32,35,39,44,47,47,46,39,34,27,21,19,21,26,29,34,36,37,34,31,31,34,38,47,56,65,68,66,61,49,39,32,31,28,27,26,27,28,29,29,31,33,32,31,29,30,30,39,45,53,57,55,49,42,38,37,40,46,53,59,61,59,56,53,46,41,45,53,62,72,81,85,80,73,62,49,38,28,23,20,20,20,21,21,21,21,20,22,24,28,31,33,33,33,32,28,29,29,29,29,28,27,26,20,21,21,22,23,23,23,23,23,23,24,26,29,33,37,39,41,39,35,31,28,26,26,26,30,29,28,24,21,20,22,24,30,42,54,61,64,64,59,53,46,41,33,27,23,20,17,16,12,14,19,24,28,32,35,36,32,31,29,26,23,21,19,19,17,17,18,18,17,16,15,14,14,14,13,14,16,18,21,23,29,30,33,34,33,31,27,25,23,23,22,21,19,16,14,13,13,12,11,10,10,9,10,10,10,10,10,10,10,10,10,10,9,9,9,9,9,9,9,9,9,9,10,10,9,9,8,7,6,6,6,6,6,6,6,6,6,6,7,8,8,7,6,6,5,6,6,6,6,5,4,3,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,5,5,6,6,6,6,7,8,8,8,8,7,7,6,6,7,7,7,7,8,8,8,8,9,10,10,11,12,12,11,12,12,12,13,13,13,13,12,12,11,10,9,9,10,10,9,8,8,7,8,10,12,13,15,17,19,22,23,24,24,23,19,17,15,13,12,13,15,16,16,16,16,15,14,15,18,20,28,31,36,39,40,39,36,34,32,29,24,20,18,17,19,20,20,23,28,34,39,42,44,45,40,39,36,35,36,38,42,44,43,41,38,33,28,24,20,19,18,21,28,36,45,54,60,64,59,54,46,39,36,37,41,44,52,51,48,41,33,29,30,33,40,44,48,48,42,35,28,24,23,25,28,32,35,37,38,38,45,47,52,58,63,64,62,59,54,52,49,48,48,46,44,42,35,33,30,29,32,39,47,53,56,56,54,49,40,32,27,25,24,25,26,27,28,30,31,31,31,29,27,25,25,26,28,29,29,29,29,32,38,46,55,60,70,70,69,66,60,52,44,39,37,38,40,45,49,51,49,47,40,35,29,23,21,23,27,30,34,36,37,35,33,34,39,44,55,64,72,73,70,63,51,40,32,31,31,30,29,30,30,30,28,29,30,29,27,26,27,28,38,43,50,56,56,52,46,41,38,39,41,46,51,54,54,53,52,45,42,46,52,58,65,72,75,71,63,52,41,31,23,19,19,20,21,22,22,22,22,21,24,26,29,32,34,34,33,33,29,30,30,30,30,29,28,27,21,21,22,23,23,22,21,21,22,22,22,23,26,30,35,37,42,40,36,32,28,24,22,21,23,24,25,24,21,20,20,21,22,32,42,47,51,55,55,52,47,43,36,31,27,24,20,17,13,15,17,21,26,32,36,39,36,35,33,30,27,24,22,20,19,19,19,19,18,17,16,15,14,14,13,14,15,17,19,20,27,28,30,32,32,31,29,28,27,26,25,23,20,17,15,13,12,12,11,9,9,8,9,9,9,9,10,10,10,10,11,11,8,8,8,8,8,8,8,8,9,9,9,9,9,8,7,7,5,5,5,5,5,5,5,5,6,6,7,7,7,7,6,6,5,6,6,6,6,5,4,3,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,5,5,6,6,6,6,7,8,8,8,7,7,6,6,6,6,7,7,8,8,8,8,8,9,10,10,11,12,12,11,11,12,12,12,13,13,13,12,11,10,10,9,9,10,10,10,9,8,7,8,10,13,14,16,18,20,22,22,22,22,21,18,17,14,13,12,13,15,17,16,17,17,16,16,18,21,24,33,36,41,44,45,42,38,36,32,29,23,18,16,16,18,19,25,29,35,41,44,45,44,42,37,34,31,28,28,31,35,37,38,37,34,31,28,25,22,21,22,25,30,36,44,51,57,60,56,52,47,42,41,43,46,49,52,51,46,37,30,28,31,35,48,51,53,52,46,38,31,28,26,27,28,30,33,35,36,37,47,50,55,61,65,65,61,57,53,51,48,46,45,44,42,40,35,32,29,29,34,43,52,59,67,68,67,61,52,41,33,29,26,26,27,27,28,30,31,32,32,29,26,24,23,25,28,29,31,32,34,38,45,54,62,67,79,79,78,74,67,58,49,44,41,42,45,49,52,52,49,46,40,36,30,26,24,26,30,33,35,37,37,36,35,38,44,50,58,66,73,73,68,60,47,36,29,30,31,32,33,32,31,31,30,30,29,27,24,23,25,26,36,41,47,53,56,54,48,44,40,39,38,39,43,46,48,48,48,42,40,43,47,49,52,56,57,54,47,39,32,25,21,18,19,20,22,23,23,23,22,22,25,27,30,33,35,35,34,33,31,31,31,31,31,30,29,28,24,24,25,25,24,23,21,20,21,20,20,21,23,28,32,35,41,40,38,34,29,24,20,17,19,21,24,25,23,22,21,21,21,28,34,35,38,44,47,47,44,41,37,33,30,27,22,19,16,16,17,19,24,30,37,40,39,38,36,33,30,26,23,22,21,22,22,21,20,19,18,17,16,15,14,13,14,15,17,18,24,25,27,28,30,30,30,30,30,29,28,25,22,19,16,14,12,11,10,9,8,8,8,8,9,9,9,10,10,11,11,11,8,8,8,8,8,8,8,8,8,9,9,9,9,8,7,6,5,5,5,5,5,5,5,5,5,6,6,7,7,6,6,5,5,6,6,6,6,5,4,3,4,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2 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J!$!$(U)?*%1+*X+72(g<8+u6:23I>OQZDVER ^/Z!S^k``aeSow(kmt.{vt~~.6}юA2{dxG b3  K$^k$ ,N'<)6rX805j2;/C?E>CHTX^JWK_diWh lWtqzrlvstz~ΎaRَ,mvZz  lo!(a"#U#Bq--@-I3d,40/#2:+?-;F2G PGI"L\NjVWO]5[f\Fp%i1yPg~x|7zr(|4E|yL}v}Zܐ CxuG!z.an$*e&$x*3E(7,- ,$81K@O9*:>gE`glp`q|{g}y̅[JFh!t vT?6 " np > !}#"+&V y1_2*Q*$Q9},)53b7H1mEL}B1AbBfCOJJ ainjVkd6kwpbn_k{r~cox ~/8ݗ wmYO_ƌ󍣇T*B!fB! %6!3s)#0"/)13-!:=+>&:5D26BABIPI[[HJNSjaPb_g6gEumofs{pt1~PsR8Xkeo.Ì{ U - }"o!8%k)S_*(D/'+4H._-.3Y&-)3981FlL`P:BJHITI9Ua:\jZ`*ihwrtYpL:j47}M=Ւ s1q::ǔЀZ  # HT.c0%@062I%07JAv74;F`?Z;;mPO_LOY)ekcThqgcfxerzXxĈR\}~7 ;bx #}1(  _"g >$8)h ,._4e&$!!8 -37,@T59::EHBaR{HRR"cXlnn]2mh;tljmkɀ"uXӁ"`LJ锷KM{ޒWp ~ UT #'!!(X!0}09n(>=#6*1,43@HDNoHFOEz_MQeh\qLesqqNhX}Lp|t}{u̅Ғ͑׎NĐ:s} ۃbSigima-1.1.1/sigima/data/tests/image_formats/sif_reader/000077500000000000000000000000001514013333200231625ustar00rootroot00000000000000Sigima-1.1.1/sigima/data/tests/image_formats/sif_reader/nd_lum_image_no_glue.sif000066400000000000000000411403771514013333200300360ustar00rootroot00000000000000Andor Technology Multi-Channel File 65538 1 65567 0 0 1 1502999015 -50  0 0.1 0.119854 0.119854 10 1.19854 3.33333e-08 0 1 0 0 0 1e-08 0 0  1 0 4 1 0 0 0 0 0 0 0 0 4.33e-06 0 2 10386 0 1 -999 1 0 1 0 0 -1 4 30 30013 0 0 1 500 1 0 5.50173 550 0 0 0 0 0 0 0 0 0 1 1 8 DU888_BV 1024 101 71 D:\FV10-ASW\Users\Petro\exp_data\2017_08_17_ND\nd_lum_image_no_glue.sif 65538 2048 Calibration data for frame 1 : 425.36, 0.0483309, -3.41973e-07, -1.1823e-10 Calibration data for frame 2 : 464.883, 0.0476565, -3.89446e-07, -1.17364e-10 Calibration data for frame 3 : 503.828, 0.0469567, -4.36332e-07, -1.1643e-10 Calibration data for frame 4 : 542.174, 0.0462325, -4.82603e-07, -1.1543e-10 Calibration data for frame 5 : 579.902, 0.0454853, -5.28234e-07, -1.14367e-10 Calibration data for frame 6 : 616.991, 0.044716, -5.73198e-07, -1.13242e-10 Calibration data for frame 7 : 653.424, 0.043926, -6.17471e-07, -1.12058e-10 Calibration data for frame 8 : 689.185, 0.0431164, -6.61031e-07, -1.10817e-10 Calibration data for frame 9 : 724.257, 0.0422884, -7.03855e-07, -1.09522e-10 Calibration data for frame 10 : 758.625, 0.0414431, -7.45922e-07, -1.08176e-10 :\FV10-ASW\Users\Petro\exp_data\2017_08_17_ND\nd_lum_im04o"2sif14o"2"20P#"201/(2p#1/(2#K 20#472<1,A#00 #CBpBtABBA @A@AABCA_@,,BAB(B`A C\ABC7CCBBB@@\|BCAACX B`BA4BCPBlBCBVCAB@A BC#CABHL6CtPAA0(BC0CTAAABBB8CHBBB2BBtBBB^CB$BXBBBB0 BBDlB@BCACA@A0B`PBc)B8A8BLnBB`B1CAABB@0B B<I$ ABBL0B`AB~CpAAMCD-CBPl,B$|B CBC@@A? 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Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer. 2. Redistributions in binary form must reproduce the above copyright notice, this list of conditions and the following disclaimer in the documentation and/or other materials provided with the distribution. 3. Neither the name of the copyright holder nor the names of its contributors may be used to endorse or promote products derived from this software without specific prior written permission. THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. 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NځARwN 惎KCFF)1KQʃF3HEށ94ȤKQQ)$ғN>J;IP3_jL :wIEQ~{ 8=MG=(htʌP94=ip"1 NxFw'4\qFEt\P9PG4bq(Q*> )6ڌm &r2)~ ? 9 @=zRQ4;Qp(&Z0GւF>j:cIqN1P1yւ)'Ҏw;4ccԤv֓?*0)p >>JZ()4wQRpGJ_OJ9^)J\{ъ\By)z-юh=9#/p(ڃ:KK):PGzAvsy3vhRғ np.ndarray: \"\"\"Read data and return it Args: filename (str): path to MyImageFormat file Returns: np.ndarray: image data \"\"\" # Implement reading logic here pass """ from __future__ import annotations from sigima.io.common.objmeta import ( read_annotations, read_metadata, read_roi, read_roi_grid, write_annotations, write_metadata, write_roi, write_roi_grid, ) from sigima.io.convenience import ( read_image, read_images, read_signal, read_signals, write_image, write_images, write_signal, write_signals, ) from sigima.io.image.base import ImageIORegistry from sigima.io.signal.base import SignalIORegistry __all__ = [ "IMAGE_FORMAT_INFO", "SIGNAL_FORMAT_INFO", "ImageIORegistry", "SignalIORegistry", "read_annotations", "read_image", "read_images", "read_metadata", "read_roi", "read_roi_grid", "read_signal", "read_signals", "write_annotations", "write_image", "write_images", "write_metadata", "write_roi", "write_roi_grid", "write_signal", "write_signals", ] SIGNAL_FORMAT_INFO = SignalIORegistry.get_format_info(mode="rst") IMAGE_FORMAT_INFO = ImageIORegistry.get_format_info(mode="rst") Sigima-1.1.1/sigima/io/base.py000066400000000000000000000234321514013333200160660ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """ Sigima Common tools for signal and image io support """ # pylint: disable=invalid-name # Allows short reference names like x, y, ... from __future__ import annotations import dataclasses import enum import os import os.path as osp import re from typing import Generic, Literal, Sequence from sigima.config import _ from sigima.objects.base import BaseObj, TypeObj from sigima.worker import CallbackWorkerProtocol class IOAction(enum.Enum): """I/O action type""" LOAD = enum.auto() SAVE = enum.auto() @dataclasses.dataclass class FormatInfo: """Format info""" name: str = None # e.g. "Foobar camera image files" extensions: str = None # e.g. "*.foobar *.fb" readable: bool = False # True if format can be read writeable: bool = False # True if format can be written requires: list[str] = None # e.g. ["foobar"] if format requires foobar package def __str__(self) -> str: """Return string representation of format info""" return f"""{self.name}: Extensions: {self.extensions} Readable: {"Yes" if self.readable else "No"} Writeable: {"Yes" if self.writeable else "No"} Requires: {", ".join(self.requires) if self.requires else "None"}""" def to_rst_table_row(self) -> str: """Return reStructuredText table row for format info (table `.. list-table::` format, with 5 columns)""" return f""" * - {self.name} - {self.extensions} - {"•" if self.readable else ""} - {"•" if self.writeable else ""} - {", ".join(self.requires) if self.requires else "-"}""" class FormatBase(Generic[TypeObj]): """Object representing a data file io""" FORMAT_INFO: FormatInfo = None def __init__(self): self.info = self.FORMAT_INFO if self.info is None: raise ValueError(f"Format info not set for {self.__class__.__name__}") if self.info.name is None: raise ValueError(f"Format name not set for {self.__class__.__name__}") if self.info.extensions is None: raise ValueError(f"Format extensions not set for {self.__class__.__name__}") if not self.info.readable and not self.info.writeable: raise ValueError(f"Format {self.info.name} is not readable nor writeable") self.extlist = get_file_extensions(self.info.extensions) if not self.extlist: raise ValueError(f"Invalid format extensions for {self.__class__.__name__}") if self.info.requires: for package in self.info.requires: try: __import__(package) except ImportError as exc: raise ImportError( f"Format {self.info.name} requires {package} package" ) from exc def get_filter(self, action: IOAction) -> str | None: """Return file filter for Qt file dialog Args: action: I/O action type Returns: File filter string """ assert action in (IOAction.LOAD, IOAction.SAVE) if action == IOAction.LOAD and not self.info.readable: return None if action == IOAction.SAVE and not self.info.writeable: return None return f"{self.info.name} ({self.info.extensions})" def read( self, filename: str, worker: CallbackWorkerProtocol | None = None ) -> Sequence[TypeObj]: """Read list of native objects (signal or image) from file. For single object, return a list with one object. Args: filename: file name worker: Callback worker object Raises: NotImplementedError: if format is not supported Returns: List of native objects (signal or image) """ raise NotImplementedError(f"Reading from {self.info.name} is not supported") def write(self, filename: str, obj: BaseObj) -> None: """Write data to file Args: filename: file name obj: native object (signal or image) Raises: NotImplementedError: if format is not supported """ raise NotImplementedError(f"Writing to {self.info.name} is not supported") # pylint: disable=bad-mcs-classmethod-argument class BaseIORegistry(Generic[TypeObj], type): """Metaclass for registering I/O handler classes""" REGISTRY_INFO: str = "" # Registry info, override in subclasses _io_format_instances: list[FormatBase] = [] def __init__(cls, name, bases, attrs): super().__init__(name, bases, attrs) if not name.endswith("FormatBase"): try: # pylint: disable=no-value-for-parameter cls._io_format_instances.append(cls()) except ImportError: # This format is not supported pass @classmethod def get_formats(cls) -> list[FormatBase]: """Return I/O format handlers Returns: List of I/O format handlers """ return cls._io_format_instances @classmethod def get_format_info(cls, mode: Literal["rst", "text"] = "rst") -> str: """Return I/O format info Args: mode: Output format, either 'rst' (reStructuredText) or 'text' Returns: Text description for all I/O formats """ if mode == "rst": txt = f"{cls.REGISTRY_INFO}:\n\n.. list-table::\n :header-rows: 1\n\n" txt += " * - Name\n - Extensions\n " txt += "- Readable\n - Writeable\n - Requires\n" txt += "\n".join([fmt.info.to_rst_table_row() for fmt in cls.get_formats()]) else: txt = f"{cls.REGISTRY_INFO}:{os.linesep}" indent = " " * 4 finfo = "\n".join([str(fmt.info) for fmt in cls.get_formats()]) txt += "\n".join([indent + line for line in finfo.splitlines()]) return txt @classmethod def __get_all_supported_filter(cls, action: IOAction) -> str: """Return all supported file filter for Qt file dialog Args: action: I/O action type Returns: File filter """ extlist = [] # file extension list for fmt in cls.get_formats(): fmt: FormatBase if not fmt.info.readable and action == IOAction.LOAD: continue if not fmt.info.writeable and action == IOAction.SAVE: continue extlist.extend(fmt.extlist) allsupported = _("All supported files") return f"{allsupported} ({'*.' + ' *.'.join(extlist)})" @classmethod def get_filters(cls, action: IOAction) -> str: """Return file filters for Qt file dialog Args: action: I/O action type Returns: File filters """ flist = [] # file filter list flist.append(cls.__get_all_supported_filter(action)) for fmt in cls.get_formats(): fmt: FormatBase flt = fmt.get_filter(action) if flt is not None: flist.append(flt) return "\n".join(flist) @classmethod def get_read_filters(cls) -> str: """Return file filters for Qt open file dialog Returns: File filters """ return cls.get_filters(IOAction.LOAD) @classmethod def get_write_filters(cls) -> str: """Return file filters for Qt save file dialog Returns: File filters """ return cls.get_filters(IOAction.SAVE) @classmethod def get_format(cls, filename: str, action: IOAction) -> FormatBase: """Return format handler for filename Args: filename: file name action: I/O action type Raises: NotImplementedError: if file data type is not supported Returns: Format handler """ for fmt in cls.get_formats(): fmt: FormatBase if osp.splitext(filename)[1][1:].lower() in fmt.extlist: if not fmt.info.readable and action == IOAction.LOAD: continue if not fmt.info.writeable and action == IOAction.SAVE: continue return fmt raise NotImplementedError( f"{filename} is not supported for {action.name.lower()}" ) @classmethod def read( cls, filename: str, worker: CallbackWorkerProtocol | None = None ) -> Sequence[TypeObj]: """Read data from file, return native object (signal or image) list. For single object, return a list with one object. Args: filename: file name worker: Callback worker object Raises: NotImplementedError: if file data type is not supported Returns: List of native objects (signal or image) """ fmt = cls.get_format(filename, IOAction.LOAD) return fmt.read(filename, worker) @classmethod def write(cls, filename: str, obj: BaseObj) -> None: """Write data to file from native object (signal or image). Args: filename: file name obj: native object (signal or image) Raises: NotImplementedError: if file data type is not supported """ fmt = cls.get_format(filename, IOAction.SAVE) fmt.write(filename, obj) def get_file_extensions(string: str) -> list[str]: """Return a sorted list of unique file extensions contained in `string`. Args: string: String containing file extensions. Returns: List of file extensions. """ pattern = r"\S+\.[\w-]+" matches = re.findall(pattern, string) return sorted({match.split(".")[-1].lower() for match in matches}) Sigima-1.1.1/sigima/io/common/000077500000000000000000000000001514013333200160665ustar00rootroot00000000000000Sigima-1.1.1/sigima/io/common/__init__.py000066400000000000000000000001621514013333200201760ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """ Common I/O features """ Sigima-1.1.1/sigima/io/common/basename.py000066400000000000000000000134271514013333200202220ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """Common functions for file name handling.""" from __future__ import annotations import re import string import sys import unicodedata from typing import Any, Iterable from sigima.objects.image import ImageObj from sigima.objects.signal import SignalObj class CustomFormatter(string.Formatter): """Custom string formatter to handle uppercase and lowercase strings.""" def format_field(self, value, format_spec): """Format the given `value` according to the specified `format_spec`. If the value is a string and the format_spec ends with 'upper' or 'lower', convert the value to uppercase or lowercase, respectively, and remove the suffix from `format_spec` before formatting. Args: value: Value to format. format_spec: Format specification, may end with 'upper' or 'lower'. Returns: The formatted value. Raises: ValueError: If `format_spec` is invalid. """ # Ignore dict objects silently (metadata should only be accessed via keys) if isinstance(value, dict): return "" if isinstance(value, str): if format_spec.endswith("upper"): value = value.upper() format_spec = format_spec[:-5] elif format_spec.endswith("lower"): value = value.lower() format_spec = format_spec[:-5] return super().format_field(value, format_spec) def format_basenames( objects: Iterable[SignalObj | ImageObj], fmt: str, replacement: str = "_", ) -> list[str]: """Generate sanitized filenames for SignalObj or ImageObj instances. Format each object's name using the provided Python format string, then sanitize the result for safe use as a filename. The format string may reference any of: - {title}: object title - {index}: 1-based index - {count}: total number of objects - {xlabel}, {xunit}, {ylabel}, {yunit}: axis labels/units (if present) - {metadata[key]}: specific metadata value (direct {metadata} use is silently ignored) Args: objects: Objects to name. fmt: Python format string for naming. replacement: Replacement for invalid filename characters. Returns: Sanitized filenames for each object. Raises: KeyError: If the format string references an unknown placeholder. """ result: list[str] = [] formatter = CustomFormatter() for i, obj in enumerate(objects): # Note: We provide metadata dict only for {metadata[key]} access, # not for direct {metadata} use (which would create overly long filenames) metadata = getattr(obj, "metadata", {}) context: dict[str, Any] = { "title": getattr(obj, "title", ""), "index": i + 1, "count": len(list(objects)), # Attributes may not exist on all objects. "xlabel": getattr(obj, "xlabel", ""), "xunit": getattr(obj, "xunit", ""), "ylabel": getattr(obj, "ylabel", ""), "yunit": getattr(obj, "yunit", ""), "metadata": metadata, } try: formatted = formatter.format(fmt, **context) except KeyError as exc: missing = str(exc.args[0]) if exc.args else str(exc) raise KeyError(f"Unknown format key in fmt: {missing!r}") from exc except ValueError as exc: # Re-raise with more context about which object failed raise ValueError( f"Invalid format string '{fmt}' for object '{context['title']}': {exc}" ) from exc # Sanitize final result to ensure it's a safe basename. result.append(sanitize_basename(formatted, replacement=replacement)) return result def sanitize_basename(basename: str, replacement: str = "_") -> str: """Sanitize a string to create a valid basename for the current operating system. This function removes or replaces characters that are invalid in basenames, depending on the underlying OS (Windows, macOS, Linux). It also strips trailing dots and spaces on Windows and normalizes unicode characters. Args: basename: Input string. replacement: Replacement string for invalid characters (default: "_"). Returns: A sanitized string that can safely be used as a basename. """ # Normalize unicode characters (NFKD form for decomposing accents and the like). basename = unicodedata.normalize("NFKD", basename) basename = basename.encode("ascii", "ignore").decode("ascii") # Characters not allowed in filenames (platform-dependent). if sys.platform.startswith("win"): # Reserved characters on Windows. invalid_chars = r'[<>:"/\\|?*\x00-\x1F]' reserved_names = { "CON", "PRN", "AUX", "NUL", *(f"COM{i}" for i in range(1, 10)), *(f"LPT{i}" for i in range(1, 10)), } else: # Only '/' is disallowed on Unix-based systems. invalid_chars = r"/" reserved_names = set() # Replace invalid characters. sanitized = re.sub(invalid_chars, replacement, basename) # Strip leading/trailing whitespace. sanitized = sanitized.strip() # On Windows, also strip trailing dots and spaces. if sys.platform.startswith("win"): sanitized = sanitized.rstrip(" .") # Truncate to a reasonable length to avoid OS path issues. sanitized = sanitized[:255] # Avoid reserved basenames. if sanitized.upper() in reserved_names: sanitized += "_" # If result is empty, fallback to a default name. if not sanitized: sanitized = "unnamed" return sanitized Sigima-1.1.1/sigima/io/common/converters.py000066400000000000000000000136741514013333200206450ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """ I/O conversion functions """ # pylint: disable=invalid-name # Allows short reference names like x, y, ... from __future__ import annotations from typing import Any, Sequence import numpy as np import skimage def dtypes_to_sorted_short_codes( dtypes: Sequence[Any], kind_filter: str | None = None ) -> list[str]: """Return sorted short dtype codes for numeric dtypes. Convert each input to a numpy dtype and ignore non-numeric types. Order: - Integer types first, unsigned (and boolean) before signed, sorted by itemsize ascending. - floats numeric types, sorted by itemsize ascending. - complex numeric types, sorted by itemsize ascending. Short codes use numpy kind letter plus itemsize in bytes, e.g. "u1", "i2", "f8". Args: dtypes: Sequence of objects acceptable by numpy.dtype (dtype, str, etc.) kind_filter: String of dtype kind letters to keep, e.g. "iu" for unsigned/signed integers. If empty or None, keep all numeric types Returns: List of unique short dtype codes in the requested order. """ dtypes = [np.dtype(d).str[1:] for d in dtypes] ordered: list[np.dtype] = [] if kind_filter is None: kind_filter = "iubfc" # all numeric types assert kind_filter != "", "kind_filter cannot be empty string" # Standard dtype codes in desired order bool_codes = ("b1",) int_codes = ("u1", "i1", "u2", "i2", "u4", "i4", "u8", "i8") float_codes = ("f2", "f4", "f8") complex_codes = ("c8", "c16") ordered = [ code for code in bool_codes + int_codes + float_codes + complex_codes if code in dtypes and code[0] in kind_filter ] return ordered def _convert_bool_array(array: np.ndarray) -> np.ndarray: """Convert boolean array to uint8.""" return skimage.util.img_as_ubyte(array) def _convert_int_array( array: np.ndarray, supported_data_types: tuple[np.dtype] ) -> np.ndarray: """Convert an integer array to a standard type. Select the smallest supported integer dtype that can represent all values in the array. If no suitable integer dtype is found, convert the array to a supported float type. Args: array: Input numpy array of integer type. supported_data_types: Tuple of supported numpy dtypes for destination object. Returns: Converted numpy array with the selected dtype. Raises: ValueError: If no supported dtype can represent the data. """ ordered_codes = dtypes_to_sorted_short_codes(supported_data_types, kind_filter="iu") amin = np.min(array) if array.size > 0 else 0 amax = np.max(array) if array.size > 0 else 0 for code in ordered_codes: info = np.iinfo(code) if amin >= info.min and amax <= info.max: new_type = np.dtype(code).newbyteorder("=") break else: new_type = _convert_float_array(array, supported_data_types).dtype return array.astype(new_type, copy=False) def _convert_float_array( array: np.ndarray, supported_data_types: tuple[np.dtype] ) -> np.ndarray: """Convert float/complex array to smallest allowed type at least large as current. Choose the smallest supported dtype of the same kind ("f" for floats, "c" for complex) whose itemsize is greater than or equal to the array's itemsize. If no such type exists, fall back to the largest supported dtype for that kind. Args: array: Array to convert. supported_data_types: Sequence of allowed dtypes for the destination object type. Returns: Converted array with the selected dtype. If no supported dtype of the same kind exists, return the original array. """ kind = array.dtype.kind if kind in ["i", "u", "b"]: kind = "f" # convert integers to floats itemsize = array.dtype.itemsize ordered_codes = dtypes_to_sorted_short_codes(supported_data_types, kind_filter=kind) # Filter out any codes that don't match the requested kind (defensive). valid_codes: list[str] = [] for code in ordered_codes: try: dt = np.dtype(code) except TypeError: continue if dt.kind == kind: valid_codes.append(code) if not valid_codes: # No supported dtype for this kind, return original array. raise ValueError("Unsupported data type") # Find smallest supported type with itemsize >= current itemsize. selected_code: str | None = None for code in valid_codes: dt = np.dtype(code) if dt.itemsize >= itemsize: selected_code = code break else: # Fallback to the largest supported type for this kind. selected_code = valid_codes[-1] new_type = np.dtype(selected_code).newbyteorder("=") return array.astype(new_type, copy=False) def convert_array_to_valid_dtype( array: np.ndarray, valid_dtypes: tuple[np.dtype, ...] ) -> np.ndarray: """Convert array to the most appropriate valid dtype. Converts arrays to one of the valid dtypes, choosing the most appropriate type based on the input array's characteristics. Args: array: array to convert valid_dtypes: tuple of valid dtypes Returns: Converted array with the most appropriate valid dtype. Raises: TypeError: if input is not a numpy ndarray ValueError: if array dtype cannot be converted to any valid type """ if not isinstance(array, np.ndarray): raise TypeError("Input must be a numpy ndarray.") if array.dtype in valid_dtypes: return array kind: str = array.dtype.kind if kind in ["f", "c"]: return _convert_float_array(array, valid_dtypes) if kind == "b": return _convert_bool_array(array) if kind in ["i", "u"]: return _convert_int_array(array, valid_dtypes) raise ValueError("Unsupported data type") Sigima-1.1.1/sigima/io/common/objmeta.py000066400000000000000000000137761514013333200200770ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """Sigima I/O module for handling object metadata and ROIs.""" from __future__ import annotations from typing import TYPE_CHECKING, Any, Literal from guidata.io import JSONHandler, JSONReader, JSONWriter from sigima.objects import ImageROI, SignalROI if TYPE_CHECKING: from sigima.params import ROIGridParam FORMAT_TAG = "sigima" FORMAT_VERSION = "1.0" ROI_TYPE_FIELD = "roi_type" def _check_tag(data: dict, expected_format: str) -> None: """Validate the presence and type of sigima tag. Args: data: The data dictionary to check. expected_format: The expected format string for the tag. Raises: ValueError: If the tag is missing or does not match the expected format. """ tag: dict = data.get(FORMAT_TAG, {}) if tag.get("format") != expected_format: raise ValueError(f"Unexpected or missing format: {tag}") def write_dict(filepath: str, data: dict) -> None: """Write a dictionary to a file in JSON format. Args: filepath: The file path to write the data to. data: The dictionary to serialize. Raises: ValueError: If the data is not a dictionary. """ if not isinstance(data, dict): raise ValueError(f"Expected a dictionary, got {type(data)}") handler = JSONHandler(filepath) handler.set_json_dict(data) handler.save() def read_dict(filepath: str) -> dict: """Read a dictionary from a file and return it. Args: filepath: The file path to read the data from. Returns: The dictionary read from the file. """ handler = JSONHandler(filepath) handler.load() data = handler.get_json_dict() return data def write_roi(filepath: str, roi: SignalROI | ImageROI) -> None: """Write a signal or image ROI to a file in JSON format. Args: filepath: The file path to write the ROI data to. roi: The signal or image ROI object to serialize. Raises: ValueError: If the ROI object is not of type SignalROI or ImageROI. """ if isinstance(roi, SignalROI): roi_type: Literal["signal", "image"] = "signal" elif isinstance(roi, ImageROI): roi_type = "image" else: raise ValueError( f"Unsupported ROI type: {type(roi)}. Expected SignalROI or ImageROI." ) roi_dict = roi.to_dict() roi_dict[ROI_TYPE_FIELD] = roi_type data = { FORMAT_TAG: {"format": "roi", "version": FORMAT_VERSION}, "roi": roi_dict, } write_dict(filepath, data) def read_roi(filepath: str) -> SignalROI | ImageROI: """Read ROI data from a file and return the corresponding ROI object. Args: filepath: The file path to read the ROI data from. Returns: The corresponding ROI object (SignalROI or ImageROI). Raises: ValueError: If the file does not contain the expected format. """ json_dict = read_dict(filepath) _check_tag(json_dict, expected_format="roi") roi_dict = json_dict["roi"] assert isinstance(roi_dict, dict), "ROI data must be a dictionary" roi_type = roi_dict.pop(ROI_TYPE_FIELD, None) if roi_type == "signal": return SignalROI.from_dict(roi_dict) if roi_type == "image": return ImageROI.from_dict(roi_dict) raise ValueError(f"Unsupported or missing ROI type: {roi_type}") def write_roi_grid(filepath: str, param: ROIGridParam) -> None: """Write ROI grid parameters to a file in JSON format. Args: filepath: The file path to write the ROI grid parameters to. param: The ROI grid parameters to serialize. """ writer = JSONWriter(filepath) param.serialize(writer) print(writer.jsondata) writer.save() def read_roi_grid(filepath: str) -> ROIGridParam: """Read ROI grid parameters from a file in JSON format. Args: filepath: The file path to read the ROI grid parameters from. Returns: The ROI grid parameters read from the file. """ from sigima.params import ROIGridParam # pylint: disable=import-outside-toplevel handler = JSONReader(filepath) handler.load() param = ROIGridParam() param.deserialize(handler) return param def write_metadata(filepath: str, metadata: dict[str, Any]) -> None: """Write metadata to a file in JSON format. Args: filepath: The file path to write the metadata to. metadata: The metadata dictionary to serialize. Raises: ValueError: If the object does not have a metadata attribute. """ data = { FORMAT_TAG: {"format": "metadata", "version": FORMAT_VERSION}, "metadata": metadata.copy(), } write_dict(filepath, data) def read_metadata(filepath: str) -> dict[str, Any]: """Read metadata from a file and return the metadata dictionary. Args: filepath: The file path to read the metadata from. Returns: The metadata dictionary. Raises: ValueError: If the file does not contain the expected format. """ json_dict = read_dict(filepath) _check_tag(json_dict, expected_format="metadata") return json_dict["metadata"] def write_annotations(filepath: str, annotations: list[dict[str, Any]]) -> None: """Write annotations to a file in JSON format. Args: filepath: The file path to write the annotations to. annotations: The annotations list to serialize. """ data = { FORMAT_TAG: {"format": "annotations", "version": FORMAT_VERSION}, "annotations": annotations.copy(), } write_dict(filepath, data) def read_annotations(filepath: str) -> list[dict[str, Any]]: """Read annotations from a file and return the annotations list. Args: filepath: The file path to read the annotations from. Returns: The annotations list. Raises: ValueError: If the file does not contain the expected format. """ json_dict = read_dict(filepath) _check_tag(json_dict, expected_format="annotations") return json_dict["annotations"] Sigima-1.1.1/sigima/io/common/textreader.py000066400000000000000000000030031514013333200206030ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """I/O utility functions.""" # pylint: disable=invalid-name # Allows short reference names like x, y... from __future__ import annotations import os from itertools import islice from sigima.io.enums import FileEncoding def count_lines(filename: str | os.PathLike[str]) -> int: """Count the number of lines in a file. Args: filename: File name or path. Returns: The number of lines in the file. Raises: IOError: If the file cannot be read. """ for encoding in FileEncoding: try: with open(filename, "r", encoding=encoding) as file: line_count = sum(1 for _ in file) return line_count except UnicodeDecodeError: # Try next encoding. pass raise IOError(f"Cannot read file {filename}.") def read_first_n_lines(filename: str | os.PathLike[str], n: int = 100000) -> str: """Read the first `n` lines of a file. Args: filename: File name or path. n: Number of lines to read. Returns: The first `n` lines of the file. Raises: IOError: If the file cannot be read. """ for encoding in FileEncoding: try: with open(filename, "r", encoding=encoding) as file: return "".join(islice(file, n)) except UnicodeDecodeError: # Try next encoding. pass raise IOError(f"Cannot read file {filename}.") Sigima-1.1.1/sigima/io/convenience.py000066400000000000000000000105051514013333200174450ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """Convenience I/O functions This module provides convenient wrapper functions for input/output operations with signals and images. These functions offer a simplified interface to the underlying I/O system, making common tasks easier to perform. """ from __future__ import annotations import os.path as osp from typing import Generator, Sequence import guidata.dataset as gds from sigima.config import _ from sigima.io.common.basename import format_basenames from sigima.io.image.base import ImageIORegistry from sigima.io.signal.base import SignalIORegistry from sigima.objects import ImageObj, SignalObj, TypeObj class SaveToDirectoryParam(gds.DataSet): """Save to directory parameters.""" def build_filenames(self, objs: list[TypeObj]) -> list[str]: """Build filenames according to current parameters.""" filenames = format_basenames(objs, self.basename + self.extension) used: set[str] = set() # Ensure all filenames are unique. for i, filename in enumerate(filenames): root, ext = osp.splitext(filename) filepath = osp.join(self.directory, filename) k = 1 while (filename in used) or (not self.overwrite and osp.exists(filepath)): filename = f"{root}_{k}{ext}" filepath = osp.join(self.directory, filename) k += 1 used.add(filename) filenames[i] = filename return filenames def generate_filepath_obj_pairs( self, objs: list[TypeObj] ) -> Generator[tuple[str, TypeObj], None, None]: """Iterate over (filepath, object) pairs to be saved.""" for filename, obj in zip(self.build_filenames(objs), objs): yield osp.join(self.directory, filename), obj directory = gds.DirectoryItem(_("Directory")) basename = gds.StringItem( _("Basename pattern"), default="{title}", help=_("""Pattern accepts a Python format string. Standard Python formatting fields may be used, including: {title}, {index}, {count}, {xlabel}, {xunit}, {ylabel}, {yunit}, {metadata}, {metadata[key]}"""), ) extension = gds.StringItem( _("Extension"), help=_("File extension with leading dot (e.g. .txt or .csv)"), regexp=r"^\.\w+$", ) overwrite = gds.BoolItem( _("Overwrite"), default=False, help=_("Overwrite existing files") ) def read_signals(filename: str) -> Sequence[SignalObj]: """Read a list of signals from a file. Args: filename: File name. Returns: List of signals. """ return SignalIORegistry.read(filename) def read_signal(filename: str) -> SignalObj: """Read a signal from a file. Args: filename: File name. Returns: Signal. """ return read_signals(filename)[0] def write_signal(filename: str, signal: SignalObj) -> None: """Write a signal to a file. Args: filename: File name. signal: Signal. """ SignalIORegistry.write(filename, signal) def write_signals(p: SaveToDirectoryParam, signals: list[SignalObj]) -> None: """Write a list of signals to a file. Args: p: Save to directory parameters. signals: List of signals. """ for filepath, signal in p.generate_filepath_obj_pairs(signals): SignalIORegistry.write(filepath, signal) def read_images(filename: str) -> Sequence[ImageObj]: """Read a list of images from a file. Args: filename: File name. Returns: List of images. """ return ImageIORegistry.read(filename) def read_image(filename: str) -> ImageObj: """Read an image from a file. Args: filename: File name. Returns: Image. """ return read_images(filename)[0] def write_image(filename: str, image: ImageObj) -> None: """Write an image to a file. Args: filename: File name. image: Image. """ ImageIORegistry.write(filename, image) def write_images(p: SaveToDirectoryParam, images: list[ImageObj]) -> None: """Write a list of images to files in a directory. Args: p: Save to directory parameters. images: List of images. """ for filepath, image in p.generate_filepath_obj_pairs(images): ImageIORegistry.write(filepath, image) Sigima-1.1.1/sigima/io/enums.py000066400000000000000000000006251514013333200163020ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """Common enum definitions for Sigima I/O support.""" # pylint: disable=invalid-name # Allows short reference names like x, y... from __future__ import annotations from enum import Enum class FileEncoding(str, Enum): """File encodings.""" UTF8 = "utf-8" UTF8_SIG = "utf-8-sig" LATIN1 = "latin-1" Sigima-1.1.1/sigima/io/ftlab.py000066400000000000000000000326131514013333200162450ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """FT-Lab I/O common functions.""" from __future__ import annotations import struct import typing from enum import Enum import numpy as np def check_file_header(fileobj: typing.BinaryIO) -> None: """Read and validate the file header. Args: fileobj: Opened file object in binary mode. Raises: ValueError: If the header is invalid or incomplete. """ nb_bytes_to_read = 6 read_bytes = fileobj.read(nb_bytes_to_read) if len(read_bytes) != nb_bytes_to_read: raise ValueError(f"Header is incomplete (expected {nb_bytes_to_read} bytes).") # Unpack the first six bytes to check the header. # The first six bytes are expected to be in the format of three little-endian 16-bit # signed integers. i1, _, i3 = struct.unpack("<3h", read_bytes) i1_possible_values = (-31609, -30844) i3_expected_value = 8224 remanining_header_length = 250 if (i1 in i1_possible_values) and (i3 == i3_expected_value): # Skip the rest of the header. read_bytes = fileobj.read(remanining_header_length) if len(read_bytes) != remanining_header_length: raise ValueError( f"Header is incomplete (expected {remanining_header_length} bytes)." ) else: raise ValueError("Unexpected values in header.") def read_length_prefixed_string( fileobj: typing.BinaryIO, encoding: str = "latin-1" ) -> str: """Read a length-prefixed string. Args: fileobj: Opened file object in binary mode. encoding: Encoding to decode the string. Defaults to "latin-1". Returns: The decoded string. Raises: ValueError: If the string length is invalid or file is too short. """ nb_bytes_to_read = 4 read_bytes = fileobj.read(nb_bytes_to_read) if len(read_bytes) != nb_bytes_to_read: raise ValueError("Failed to read string length.") length_to_read = struct.unpack(" None: """Initialize an FTLabSignalFile object. Args: file_path: Path to the FT-Lab signal file (.sig). """ self.file_path: str = file_path self.x: np.ndarray self.y: np.ndarray self.xu: str self.yu: str def __repr__(self) -> str: """Return a string representation of the object.""" return ( f"FTLabSignalFile(" f"file_path={self.file_path!r}, " f"x_shape={None if self.x is None else self.x.shape}, " f"y_shape={None if self.y is None else self.y.shape}, " f"xu={self.xu!r}, " f"yu={self.yu!r})" ) def _check_header(self, fid: typing.BinaryIO) -> None: """Check the file header. Args: fid: Opened file object in binary mode. """ check_file_header(fid) def _read_real_with_x_range( self, fid: typing.BinaryIO, n: int, start: float, step: float ) -> None: """Read real data with a given x range. Args: fid: Opened file object in binary mode. n: Number of data points to read. start: Start of the x range. step: Step size for the x range. """ self.x = np.linspace(start, start + (n - 1) * step, n) self.y = np.fromfile(fid, dtype=" None: """Read real data with given x values. Args: fid: Opened file object in binary mode. n: Number of data points to read. """ data = np.fromfile(fid, dtype=" None: """Read complex data with a given x range. Args: fid: Opened file object in binary mode. n: Number of data points to read. start: Start of the x range. step: Step size for the x range. """ self.x = np.linspace(start, start + (n - 1) * step, n) data = np.fromfile(fid, dtype=" None: """Read complex data with given x values. Args: fid: Opened file object in binary mode. n: Number of data points to read. """ data = np.fromfile(fid, dtype=" np.ndarray: """Read the FT-Lab signal file, populate data and metadata. This method reads the signal data from the file, checking the header and determining the signal type. It supports various signal formats. Returns: XY data. Raises: ValueError: If the file cannot be opened or the format is not recognized. NotImplementedError: If the signal type is not supported. """ try: with open(self.file_path, "rb") as fid: self._check_header(fid) # Skip signal title _ = read_length_prefixed_string(fid, encoding="latin-1") # The following image header is expected to contain 20 double values. nb_values = 20 header = np.fromfile(fid, dtype=" None: """Initialize an FTLabImageFile object. Args: file_path: path to an FT-Lab image file (.ima). """ self.file_path: str = file_path self.image_type: ImageType self.dtype: np.dtype self.nb_columns: int self.nb_lines: int self.data: np.ndarray def __repr__(self) -> str: """Return a string representation of the object.""" return ( f"FTLabImageFile(" f"file_path={self.file_path!r}, " f"image_type={getattr(self, 'image_type', None)}, " f"dtype={getattr(self, 'dtype', None)}, " f"nb_columns={getattr(self, 'nb_columns', None)}, " f"nb_lines={getattr(self, 'nb_lines', None)})" ) def _check_header(self, fid: typing.BinaryIO) -> None: """Check the file header. Args: fid: Opened file object in binary mode. """ check_file_header(fid) def _read_image_data(self, fid): """Read image data from the file. Args: fid: Opened file object in binary mode. image_type: Type of the image (real or complex). dtype: Data type of the image data. nb_lines: Number of lines (rows) in the image. nb_columns: Number of columns in the image. """ size = self.nb_lines * self.nb_columns if self.image_type == ImageType.REAL: data = np.fromfile(fid, dtype=self.dtype, count=size) if data.size != size: raise ValueError("Unexpected end of file while reading image data.") return data.reshape((self.nb_columns, self.nb_lines)).T if self.image_type == ImageType.COMPLEX: real = np.fromfile(fid, dtype=self.dtype, count=size) imag = np.fromfile(fid, dtype=self.dtype, count=size) if real.size != size or imag.size != size: raise ValueError( "Unexpected end of file while reading complex image data." ) return ( real.reshape((self.nb_columns, self.nb_lines)).T + 1j * imag.reshape((self.nb_columns, self.nb_lines)).T ) raise NotImplementedError(f"Image type {self.image_type} is not supported.") def read(self) -> np.ndarray: """Read an image file and return its data. Returns: Image data. Raises: ValueError: If the file cannot be opened or the format is not recognized. NotImplementedError: If the image type or version is not supported. """ try: with open(self.file_path, "rb") as fid: self._check_header(fid) # Skip image title. _ = read_length_prefixed_string(fid, encoding="latin-1") # The following image header is expected to contain 20 double values. nb_values = 20 header = np.fromfile(fid, dtype=" np.ndarray: """Open an FT-Lab image file. Args: filename: path to FT-Lab image file. Returns: Image data. """ ftlab_file = FTLabImageFile(filename) return ftlab_file.read() Sigima-1.1.1/sigima/io/image/000077500000000000000000000000001514013333200156605ustar00rootroot00000000000000Sigima-1.1.1/sigima/io/image/__init__.py000066400000000000000000000003761514013333200177770ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """ Image I/O features """ # pylint: disable=unused-import import sigima.io.image.formats # noqa: F401 from sigima.io.image.base import ImageIORegistry # noqa: F401 Sigima-1.1.1/sigima/io/image/base.py000066400000000000000000000115261514013333200171510ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """ Image I/O registry """ from __future__ import annotations import abc import os.path as osp from typing import Sequence import numpy as np from sigima.config import _ from sigima.io.base import BaseIORegistry, FormatBase from sigima.objects.image import ImageObj, create_image from sigima.worker import CallbackWorkerProtocol class ImageIORegistry(BaseIORegistry): """Metaclass for registering image I/O handler classes""" REGISTRY_INFO: str = _("Image I/O formats") _io_format_instances: list[ImageFormatBase] = [] class ImageFormatBaseMeta(ImageIORegistry, abc.ABCMeta): """Mixed metaclass to avoid conflicts""" class ImageFormatBase(abc.ABC, FormatBase, metaclass=ImageFormatBaseMeta): """Base image format object. This class is used to define the interface for image I/O formats. It is an abstract base class that defines the methods that must be implemented by any image format class. """ @abc.abstractmethod def read( self, filename: str, worker: CallbackWorkerProtocol | None = None ) -> Sequence[ImageObj]: """Read list of image objects from file Args: filename: File name worker: Callback worker object Returns: List of image objects """ @abc.abstractmethod def write(self, filename: str, obj: ImageObj) -> None: """Write data to file Args: filename: file name obj: native object (signal or image) Raises: NotImplementedError: if format is not supported """ class SingleImageFormatBase(ImageFormatBase): """Base image format object for single image (e.g., TIFF, PNG, etc.).""" @staticmethod def create_object(filename: str, index: int | None = None) -> ImageObj: """Create empty object Args: filename: File name index: Index of object in file Returns: Image object """ name = osp.basename(filename) if index is not None: name += f" {index:02d}" return create_image(name, metadata={"source": filename}) def read( self, filename: str, worker: CallbackWorkerProtocol | None = None ) -> list[ImageObj]: """Read list of image objects from file Args: filename: File name worker: Callback worker object Returns: List of image objects """ # Default implementation covers the case of a single image: obj = self.create_object(filename) obj.data = self.read_data(filename) unique_values = np.unique(obj.data) if len(unique_values) == 2: # Binary image: set LUT range to unique values obj.zscalemin, obj.zscalemax = unique_values.tolist() return [obj] @staticmethod @abc.abstractmethod def read_data(filename: str) -> np.ndarray: """Read data and return it Args: filename: File name Returns: Image array data """ def write(self, filename: str, obj: ImageObj) -> None: """Write data to file Args: filename: file name obj: native object (signal or image) Raises: NotImplementedError: if format is not supported """ data = obj.data self.write_data(filename, data) @staticmethod def write_data(filename: str, data: np.ndarray) -> None: """Write data to file Args: filename: File name data: Image array data """ raise NotImplementedError(f"Writing to {filename} is not supported") class MultipleImagesFormatBase(SingleImageFormatBase): """Base image format object for multiple images (e.g., SIF or SPE). Works with read function that returns a NumPy array of 3 dimensions, where the first dimension is the number of images. """ def read( self, filename: str, worker: CallbackWorkerProtocol | None = None ) -> list[ImageObj]: """Read list of image objects from file Args: filename: File name worker: Callback worker object Returns: List of image objects """ data = self.read_data(filename) if len(data.shape) == 3: objlist = [] for idx in range(data.shape[0]): obj = self.create_object(filename, index=idx) obj.data = data[idx, ::] objlist.append(obj) if worker is not None: worker.set_progress((idx + 1) / data.shape[0]) if worker.was_canceled(): break return objlist obj = self.create_object(filename) obj.data = data return [obj] Sigima-1.1.1/sigima/io/image/formats.py000066400000000000000000000777311514013333200177240ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """ Sigima I/O image formats """ # pylint: disable=invalid-name # Allows short reference names like x, y, ... from __future__ import annotations import datetime import os.path as osp import re import imageio.v3 as iio import numpy as np import pandas as pd import scipy.io as sio import skimage.io from guidata.io import HDF5Reader, HDF5Writer import sigima from sigima.config import _, options from sigima.io import ftlab from sigima.io.base import FormatInfo from sigima.io.common.converters import convert_array_to_valid_dtype from sigima.io.enums import FileEncoding from sigima.io.image import funcs from sigima.io.image.base import ( ImageFormatBase, MultipleImagesFormatBase, SingleImageFormatBase, ) from sigima.objects.image import ImageObj, create_image from sigima.worker import CallbackWorkerProtocol class HDF5ImageFormat(ImageFormatBase): """Object representing HDF5 image file type""" FORMAT_INFO = FormatInfo( name="HDF5", extensions="*.h5ima", readable=True, writeable=True, ) GROUP_NAME = "image" # pylint: disable=unused-argument def read( self, filename: str, worker: CallbackWorkerProtocol | None = None ) -> list[ImageObj]: """Read list of image objects from file Args: filename: File name worker: Callback worker object Returns: List of image objects """ reader = HDF5Reader(filename) try: with reader.group(self.GROUP_NAME): obj = ImageObj() obj.deserialize(reader) except ValueError as exc: raise ValueError("No valid image data found") from exc except Exception as exc: # pylint: disable=broad-except raise RuntimeError( f"Unexpected error reading HDF5 image from {filename}" ) from exc finally: reader.close() return [obj] def write(self, filename: str, obj: ImageObj) -> None: """Write data to file Args: filename: file name obj: native object (signal or image) Raises: NotImplementedError: if format is not supported """ assert isinstance(obj, ImageObj), "Object is not an image" writer = HDF5Writer(filename) with writer.group(self.GROUP_NAME): obj.serialize(writer) writer.close() class ClassicsImageFormat(SingleImageFormatBase): """Object representing classic image file types""" FORMAT_INFO = FormatInfo( name="BMP, JPEG, PNG, TIFF, JPEG2000", extensions="*.bmp *.jpg *.jpeg *.png *.tif *.tiff *.jp2", readable=True, writeable=True, ) @staticmethod def read_data(filename: str) -> np.ndarray: """Read data and return it Args: filename: File name Returns: Image array data """ return skimage.io.imread(filename, as_gray=True) @staticmethod def write_data(filename: str, data: np.ndarray) -> None: """Write data to file Args: filename: File name data: Image array data """ ext = osp.splitext(filename)[1].lower() if ext in (".bmp", ".jpg", ".jpeg", ".png"): if data.dtype is not np.uint8: data = data.astype(np.uint8) if ext in (".jp2",): if data.dtype not in (np.uint8, np.uint16): data = data.astype(np.uint16) skimage.io.imsave(filename, data, check_contrast=False) class NumPyImageFormat(SingleImageFormatBase): """Object representing NumPy image file type""" FORMAT_INFO = FormatInfo( name="NumPy", extensions="*.npy", readable=True, writeable=True, ) # pylint: disable=duplicate-code @staticmethod def read_data(filename: str) -> np.ndarray: """Read data and return it Args: filename: File name Returns: Image array data """ return convert_array_to_valid_dtype(np.load(filename), ImageObj.VALID_DTYPES) @staticmethod def write_data(filename: str, data: np.ndarray) -> None: """Write data to file Args: filename: File name data: Image array data """ np.save(filename, data) class NotCoordinatedTextFileError(Exception): """Exception raised when a file is not a coordinated text file""" class CoordinatedTextFileReader: """Utility class for reading text files with metadata and coordinates""" @staticmethod def read_images(filename: str) -> list[ImageObj]: """Read list of image objects from coordinated text file. Args: filename: File name Returns: List of image objects """ file_metadata = CoordinatedTextFileReader.read_metadata(filename) # Validate metadata and raise on inconsistent or missing keys CoordinatedTextFileReader.verify_metadata(filename, file_metadata) dict_keys = file_metadata.keys() allowed_column_header = { "X", "Y", "Z", "Zre", "Zim", "Z Error", "Zre Error", "Zim Error", } columns_header = [k for k in dict_keys if k in allowed_column_header] # Remove keys that are in columns_header and construct metadata dictionary metadata = { key: value[0] for key, value in file_metadata.items() if key not in columns_header } metadata["source"] = filename df = CoordinatedTextFileReader.read_data(filename, columns_header) name = osp.basename(filename) try: # Check if coordinates are uniform or non-uniform x_coords = np.sort(df["X"].unique()) y_coords = np.sort(df["Y"].unique()) # Check if we have a regular grid structure expected_points = len(x_coords) * len(y_coords) actual_points = len(df) # Extract coordinate and data information (zlabel, zunit) = file_metadata.get("Z", file_metadata.get("Zre", ("", ""))) (xlabel, xunit) = file_metadata.get("X", ("X", "")) (ylabel, yunit) = file_metadata.get("Y", ("Y", "")) if xlabel is None: xlabel = "X" if ylabel is None: ylabel = "Y" if zlabel is None: zlabel = "Z" xunit = "" if xunit is None else str(xunit) yunit = "" if yunit is None else str(yunit) zunit = "" if zunit is None else str(zunit) if expected_points == actual_points: # Regular grid - can use pivot to create 2D array data = df.pivot(index="Y", columns="X", values="Z").values data = convert_array_to_valid_dtype(data, ImageObj.VALID_DTYPES) # Check if coordinates are truly uniform (evenly spaced) x_uniform = len(x_coords) >= 2 and np.allclose( np.diff(x_coords), x_coords[1] - x_coords[0], rtol=1e-10 ) y_uniform = len(y_coords) >= 2 and np.allclose( np.diff(y_coords), y_coords[1] - y_coords[0], rtol=1e-10 ) image = create_image( name, metadata=metadata, data=data, units=(xunit, yunit, zunit), labels=(xlabel, ylabel, zlabel), ) if x_uniform and y_uniform: # Set uniform coordinates dx = float(x_coords[1] - x_coords[0]) if len(x_coords) > 1 else 1.0 dy = float(y_coords[1] - y_coords[0]) if len(y_coords) > 1 else 1.0 x0 = float(x_coords[0]) if len(x_coords) > 0 else 0.0 y0 = float(y_coords[0]) if len(y_coords) > 0 else 0.0 image.set_uniform_coords(dx, dy, x0, y0) else: # Set non-uniform coordinates image.set_coords(x_coords.astype(float), y_coords.astype(float)) else: # Non-regular grid - cannot create proper 2D array from this data raise ValueError( f"File {filename} contains {actual_points} data points " f"but expected {expected_points} for a regular grid " f"({len(x_coords)}×{len(y_coords)}). " "Coordinated text files must contain data on a complete " "rectangular grid." ) images_list = [image] except ValueError as exc: raise ValueError(f"File {filename} wrong format.\n{exc}") from exc if "Z Error" in df.columns: # For error data, use the same coordinate structure as the main image error_data = df.pivot(index="Y", columns="X", values="Z Error").values image_error = create_image( name + " error", metadata={"source": filename}, data=error_data, units=( file_metadata["X"][1], file_metadata["Y"][1], file_metadata.get( "Z Error", file_metadata.get( "Zre Error", file_metadata.get("Z", file_metadata.get("Zre", ("", ""))), ), )[1], ), labels=( file_metadata["X"][0], file_metadata["Y"][0], file_metadata.get("Z", file_metadata.get("Zre", ("", "")))[0] + " error", ), ) # Apply the same coordinate system as the main image if image.is_uniform_coords: image_error.set_uniform_coords(image.dx, image.dy, image.x0, image.y0) else: image_error.set_coords(image.xcoords.copy(), image.ycoords.copy()) images_list.append(image_error) return images_list @staticmethod def read_metadata(filename: str) -> dict[str, tuple | None]: """Read metadata from file Args: filename: File name Returns: Metadata dictionary structured as {key: (value, unit)} Available keys can be are: - nx (value is int) - ny (value is int) - X (value represents axis label) - Y (value represents axis label) - Z (value represents axis label) - Zre (value represents axis label) - Zim (value represents axis label) - Z Error (value is none) - Zre Error (value is none) - Zim Error (value is none) """ metadata = {} try: with open(filename, encoding="utf-8") as f: for line in f: line = line.strip() if not line.startswith("#"): break # Remove leading '#' and strip whitespace content = line[1:].strip() # Parse specific patterns parsed = CoordinatedTextFileReader._parse_metadata_line(content) if parsed: key, value_unit = parsed metadata[key] = value_unit except (ValueError, IOError) as exc: raise ValueError(f"Could not read metadata from file {filename}") from exc return metadata @staticmethod def _parse_metadata_line(line: str) -> tuple[str, tuple] | None: """Parse a single metadata line into key-value-unit tuple. Args: line: Line to parse (without # prefix) Returns: Tuple of (key, (value, unit)) or None if not parseable """ # Handle special patterns first if match := re.match(r"Created by (.*)", line): return "author", (match.group(1).strip(), None) if match := re.match( r"Created on (\d{4}-\d{2}-\d{2}) (\d{2}:\d{2}:\d{2}\.\d+)", line ): date_str, _time_str = match.groups() return "creation_date", (date_str, None) # Note: creation_time is lost in this simplified version if match := re.match(r"Using matrislib ([\d\.a-zA-Z-]+)", line): return "software_version", (f"matrislib {match.group(1)}", None) # Handle error columns without colons if line.startswith(("Z Error", "Zre Error", "Zim Error")): if ":" not in line: line = line.replace("Error", "Error :", 1) # Must contain colon for key-value pairs if ":" not in line: return None # Remove Real(...) or Imaginary(...) wrappers line = re.sub(r"(?:Real|Imaginary)\(([^\)]*)\)", r"\1", line) # Split on first colon key, rest = line.split(":", 1) key = key.strip() rest = rest.strip() # Parse value and unit value, unit = CoordinatedTextFileReader._parse_value_and_unit(rest) return key, (value, unit) @staticmethod def _parse_value_and_unit( text: str, ) -> tuple[int | float | bool | str | None, str | None]: """Parse value and unit from text like 'value (unit)' or just 'value'. Intelligently converts values to appropriate types: - Booleans: "true"/"false" (case-insensitive) → bool - Integers: "123", "-456" → int - Floats: "1.23", "-4.56", "1.2e-3" → float - None: empty string → None - Strings: everything else → str Args: text: Text to parse Returns: Tuple of (value, unit) where value can be int, float, bool, str, or None """ text = text.strip() # Extract unit in parentheses if present unit = None if text.endswith(")"): if "(" in text: parts = text.rsplit("(", 1) text = parts[0].strip() unit = parts[1].rstrip(")").strip() if not unit: unit = None # Parse value with intelligent type detection if not text: value = None elif text.lower() in ("true", "false"): # Boolean values value = text.lower() == "true" else: # Try to parse as number try: # Check if it looks like an integer (no decimal point or exponent) if "." not in text and "e" not in text.lower(): value = int(text) else: # Parse as float value = float(text) except ValueError: # Not a number, keep as string value = text return value, unit @staticmethod def verify_metadata(filename: str, metadata: dict[str, tuple | None]) -> None: """Verify metadata keys consistency. Perform a set of sanity checks on the parsed metadata and raise an appropriate exception on failure. Args: filename: Parsed filename used for error messages. metadata: Metadata dictionary parsed from file header. Raises: NotCoordinatedTextFileError: When file is not a valid format. ValueError: When required fields are missing or inconsistent. """ # Check if this is a coordinated text file by looking for key indicators has_format_indicators = "software_version" in metadata or ( "creation_date" in metadata and any(col in metadata for col in ["X", "Y", "Z", "Zre", "Zim"]) ) if not has_format_indicators: raise NotCoordinatedTextFileError( f"File {filename} does not appear to be a coordinated text format file " "(missing expected metadata structure)" ) columns_header = [k for k in metadata.keys() if k not in ("nx", "ny")] # Required columns check if "X" not in columns_header or "Y" not in columns_header: raise ValueError( f"File {filename}: Missing required X, Y columns in header" ) # Z column validation has_z = "Z" in columns_header has_complex = "Zre" in columns_header or "Zim" in columns_header if not (has_z or has_complex): raise ValueError( f"File {filename}: Must contain either Z column or Zre/Zim columns" ) if has_z and has_complex: raise ValueError( f"File {filename}: Cannot contain both Z and Zre/Zim columns" ) # Complex Z validation if has_complex: if ("Zre" in columns_header) ^ ("Zim" in columns_header): raise ValueError( f"File {filename}: Both Zre and Zim columns " f"must be present together" ) # Error column validation has_z_error = "Z Error" in columns_header has_complex_error = ( "Zre Error" in columns_header or "Zim Error" in columns_header ) if has_z_error and has_complex_error: raise ValueError( f"File {filename}: Cannot contain both Z Error and " f"Zre Error/Zim Error columns" ) if has_complex_error: if ("Zre Error" in columns_header) ^ ("Zim Error" in columns_header): raise ValueError( f"File {filename}: Both Zre Error and Zim Error columns " f"must be present together" ) @staticmethod def _try_df_reading(filename: str, columns_header: list[str]) -> pd.DataFrame: """Try to read the data file with various parsing options. Args: filename: File name columns_header: List of column headers to use when reading the data. Returns: DataFrame containing the image data. Raises: ValueError: If the file cannot be read with any of the tried options. """ # Define parsing configurations to try in order of preference parsing_configs = [ (encoding, decimal, delimiter) for encoding in FileEncoding for decimal in (".", ",") for delimiter in (r"\s+", ",", ";") ] last_error = None for encoding, decimal, delimiter in parsing_configs: try: df = pd.read_csv( filename, decimal=decimal, comment="#", delimiter=delimiter, encoding=encoding, names=columns_header, ) # Drop entirely empty columns introduced by trailing delimiters df = df.dropna(axis=1, how="all") return df except (ValueError, UnicodeDecodeError) as exc: last_error = exc continue # If we get here, all parsing attempts failed raise ValueError( f"Could not read image data from file {filename}. Last error: {last_error}" ) from last_error @staticmethod def read_data(filename: str, columns_header: list[str]) -> pd.DataFrame: """Read data and return it. Args: filename: File name Returns: Image array data """ # Try several parsing variants (encoding, decimal and delimiter). df: pd.DataFrame | None = None df = CoordinatedTextFileReader._try_df_reading(filename, columns_header) # if Z is present, the image is Real if "Zre" in df.columns: df["Z"] = df["Zre"] + 1j * df["Zim"] df = df.drop(columns=["Zre", "Zim"]) if "Zre Error" in df.columns: df["Z Error"] = df["Zre Error"] + 1j * df["Zim Error"] df = df.drop(columns=["Zre Error", "Zim Error"]) return df class CoordinatedTextFileWriter: """Utility class for writing text files with metadata and coordinates""" @staticmethod def write_image(filename: str, obj: ImageObj) -> None: """Write image object to coordinated text file. Args: filename: File name to write to obj: Image object to write Raises: ValueError: If image has invalid coordinate system """ # Validate that we can write this image if obj.data is None: raise ValueError( "Cannot write image with no data to coordinated text format" ) # Get coordinate information if obj.is_uniform_coords: # Generate coordinate arrays for uniform coordinates ny, nx = obj.data.shape x_coords = obj.x0 + np.arange(nx) * obj.dx y_coords = obj.y0 + np.arange(ny) * obj.dy else: # Use non-uniform coordinates directly x_coords = obj.xcoords y_coords = obj.ycoords if x_coords is None or y_coords is None: raise ValueError("Cannot write image with missing coordinate arrays") # Create meshgrid for the data X, Y = np.meshgrid(x_coords, y_coords) # Flatten arrays for CSV output x_flat = X.flatten() y_flat = Y.flatten() z_flat = obj.data.flatten() # Write file with open(filename, "w", encoding="utf-8") as f: # Write metadata header f.write(f"# Created by Sigima {sigima.__version__}\n") timestamp = datetime.datetime.now().strftime("%Y-%m-%d %H:%M:%S.%f") f.write(f"# Created on {timestamp}\n") f.write(f"# nx: {obj.data.shape[1]}\n") f.write(f"# ny: {obj.data.shape[0]}\n") # Write axis information f.write(f"# X: {obj.xlabel}") if obj.xunit: f.write(f" ({obj.xunit})") f.write("\n") f.write(f"# Y: {obj.ylabel}") if obj.yunit: f.write(f" ({obj.yunit})") f.write("\n") f.write(f"# Z: {obj.zlabel}") if obj.zunit: f.write(f" ({obj.zunit})") f.write("\n") # Write additional metadata if present if obj.metadata: for key, value in obj.metadata.items(): if key not in ("source",): # Skip internal metadata f.write(f"# {key}: {value}\n") # Write data columns for x, y, z in zip(x_flat, y_flat, z_flat): f.write(f"{x}\t{y}\t{z}\n") class TextImageFormat(SingleImageFormatBase): """Object representing text image file type""" FORMAT_INFO = FormatInfo( name=_("Text files"), extensions="*.txt *.csv *.asc", readable=True, writeable=True, ) def read( self, filename: str, worker: CallbackWorkerProtocol | None = None ) -> list[ImageObj]: """Read list of image objects from file Args: filename: File name worker: Callback worker object Returns: List of image objects """ # Try to read as coordinated text format first # (for .txt/.csv files with metadata and coordinates) if filename.lower().endswith((".txt", ".csv")): try: return CoordinatedTextFileReader.read_images(filename) except NotCoordinatedTextFileError: # Not a coordinated text file, continue with regular text processing pass # Read as generic text file obj = self.create_object(filename) obj.data = self.read_data(filename) unique_values = np.unique(obj.data) if len(unique_values) == 2: # Binary image: set LUT range to unique values obj.zscalemin, obj.zscalemax = unique_values.tolist() return [obj] @staticmethod def read_data(filename: str) -> np.ndarray: """Read data and return it Args: filename: File name Returns: Image array data """ for encoding in FileEncoding: for decimal in (".", ","): for delimiter in (",", ";", r"\s+"): try: df = pd.read_csv( filename, decimal=decimal, delimiter=delimiter, encoding=encoding, header=None, ) # Handle the extra column created with trailing delimiters. df = df.dropna(axis=1, how="all") data = df.to_numpy() return convert_array_to_valid_dtype(data, ImageObj.VALID_DTYPES) except ValueError: continue raise ValueError(f"Could not read image data from file {filename}.") @staticmethod def write_data(filename: str, data: np.ndarray) -> None: """Write data to file. Args: filename: File name. data: Image array data. """ if np.issubdtype(data.dtype, np.integer): fmt = "%d" elif np.issubdtype(data.dtype, np.floating) or np.issubdtype( data.dtype, np.complexfloating ): fmt = "%.18e" else: raise NotImplementedError( f"Writing data of type {data.dtype} to text file is not supported." ) ext = osp.splitext(filename)[1] if ext.lower() in (".txt", ".asc", ""): np.savetxt(filename, data, fmt=fmt) elif ext.lower() == ".csv": np.savetxt(filename, data, fmt=fmt, delimiter=",") else: raise ValueError(f"Unknown text file extension {ext}") def write(self, filename: str, obj: ImageObj) -> None: """Write data to file Args: filename: file name obj: image object """ if not isinstance(obj, ImageObj): raise ValueError("Object is not an image") # Check if object has non-uniform coordinates and filename is TXT or CSV # If so, use coordinated text format ext = osp.splitext(filename)[1].lower() if ext in (".txt", ".csv") and not obj.is_uniform_coords: try: CoordinatedTextFileWriter.write_image(filename, obj) return except Exception: # pylint: disable=broad-except # Fall back to regular text format if writing fails pass # Use default text format super().write(filename, obj) class MatImageFormat(SingleImageFormatBase): """Object representing MAT-File image file type""" FORMAT_INFO = FormatInfo( name=_("MAT-Files"), extensions="*.mat", readable=True, writeable=True, ) # pylint: disable=duplicate-code def read( self, filename: str, worker: CallbackWorkerProtocol | None = None ) -> list[ImageObj]: """Read list of image objects from file Args: filename: File name worker: Callback worker object Returns: List of image objects """ mat = sio.loadmat(filename) allimg: list[ImageObj] = [] for dname, data in mat.items(): if dname.startswith("__") or not isinstance(data, np.ndarray): continue if len(data.shape) != 2: continue obj = self.create_object(filename) obj.data = data if dname != "img": obj.title += f" ({dname})" allimg.append(obj) return allimg @staticmethod def read_data(filename: str) -> np.ndarray: """Read data and return it Args: filename: File name Returns: Image array data """ # This method is not used, as read() is overridden @staticmethod def write_data(filename: str, data: np.ndarray) -> None: """Write data to file Args: filename: File name data: Image array data """ sio.savemat(filename, {"img": data}) class DICOMImageFormat(SingleImageFormatBase): """Object representing DICOM image file type""" FORMAT_INFO = FormatInfo( name="DICOM", extensions="*.dcm *.dicom", readable=True, writeable=False, requires=["pydicom"], ) @staticmethod def read_data(filename: str) -> np.ndarray: """Read data and return it Args: filename: File name Returns: Image array data """ return funcs.imread_dicom(filename) class AndorSIFImageFormat(MultipleImagesFormatBase): """Object representing an Andor SIF image file type""" FORMAT_INFO = FormatInfo( name="Andor SIF", extensions="*.sif", readable=True, writeable=False, ) @staticmethod def read_data(filename: str) -> np.ndarray: """Read data and return it Args: filename: File name Returns: Image array data """ return funcs.imread_sif(filename) # Generate classes based on the information above: def generate_imageio_format_classes( imageio_formats: list[list[str, str]] | list[tuple[str, str]] | tuple[tuple[str, str]] | tuple[list[str, str]] | None = None, ) -> None: """Generate classes based on the information above""" if imageio_formats is None: imageio_formats = options.imageio_formats.get() for extensions, name in imageio_formats: class_dict = { "FORMAT_INFO": FormatInfo( name=name, extensions=extensions, readable=True, writeable=False ), "read_data": staticmethod( lambda filename: iio.imread(filename, index=None) ), } class_name = extensions.split()[0].split(".")[1].upper() + "ImageFormat" globals()[class_name] = type( class_name, (MultipleImagesFormatBase,), class_dict ) generate_imageio_format_classes() class SpiriconImageFormat(SingleImageFormatBase): """Object representing Spiricon image file type""" FORMAT_INFO = FormatInfo( name="Spiricon", extensions="*.scor-data", readable=True, writeable=False, ) @staticmethod def read_data(filename: str) -> np.ndarray: """Read data and return it Args: filename: File name Returns: Image array data """ return funcs.imread_scor(filename) class XYZImageFormat(SingleImageFormatBase): """Object representing Dürr NDT XYZ image file type""" FORMAT_INFO = FormatInfo( name="Dürr NDT", extensions="*.xyz", readable=True, writeable=False, ) @staticmethod def read_data(filename: str) -> np.ndarray: """Read data and return it Args: filename: File name Returns: Image array data """ with open(filename, "rb") as fdesc: cols = int(np.fromfile(fdesc, dtype=np.uint16, count=1)[0]) rows = int(np.fromfile(fdesc, dtype=np.uint16, count=1)[0]) arr = np.fromfile(fdesc, dtype=np.uint16, count=cols * rows) arr = arr.reshape((rows, cols)) return np.fliplr(arr) class FTLabImageFormat(SingleImageFormatBase): """FT-Lab image file.""" FORMAT_INFO = FormatInfo( name="FT-Lab", extensions="*.ima", readable=True, writeable=False, ) @staticmethod def read_data(filename: str) -> np.ndarray: """Read and return data. Args: filename: Path to FT-Lab file. Returns: Image data. """ return ftlab.imread_ftlabima(filename) Sigima-1.1.1/sigima/io/image/funcs.py000066400000000000000000000364371514013333200173650ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """ Sigima I/O image functions """ # pylint: disable=invalid-name # Allows short reference names like x, y, ... from __future__ import annotations import os import re import sys import time import numpy as np from guidata.utils.misc import to_string # MARK: SIF I/O functions # ============================================================================== # Original code: # -------------- # Zhenpeng Zhou # Copyright 2017 Zhenpeng Zhou # Licensed under MIT License Terms # # Changes: # ------- # * Calculating header length using the line beginning with "Counts" # * Calculating wavelenght info line number using line starting with "65538 " # * Handling wavelenght info line ending with "NM" # * Calculating data offset by detecting the first line containing NUL character after # header # class SIFFile: """ A class that reads the contents and metadata of an Andor .sif file. Compatible with images as well as spectra. Exports data as numpy array or xarray.DataArray. Example: SIFFile('my_spectrum.sif').read_all() In addition to the raw data, SIFFile objects provide a number of meta data variables: :ivar x_axis: the horizontal axis (can be pixel numbers or wvlgth in nm) :ivar original_filename: the original file name of the .sif file :ivar date: the date the file was recorded :ivar model: camera model :ivar temperature: sensor temperature in degrees Celsius :ivar exposuretime: exposure time in seconds :ivar cycletime: cycle time in seconds :ivar accumulations: number of accumulations :ivar readout: pixel readout rate in MHz :ivar xres: horizontal resolution :ivar yres: vertical resolution :ivar width: image width :ivar height: image height :ivar xbin: horizontal binning :ivar ybin: vertical binning :ivar gain: EM gain level :ivar vertical_shift_speed: vertical shift speed :ivar pre_amp_gain: pre-amplifier gain :ivar stacksize: number of frames :ivar filesize: size of the file in bytes :ivar m_offset: offset in the .sif file to the actual data """ # pylint: disable=too-many-instance-attributes # pylint: disable=too-many-statements def __init__(self, filepath: str) -> None: self.filepath = filepath self.original_filename = None self.filesize = None self.left = None self.right = None self.top = None self.bottom = None self.width = None self.height = None self.grating = None self.stacksize = None self.datasize = None self.xres = None self.yres = None self.xbin = None self.ybin = None self.cycletime = None self.pre_amp_gain = None self.temperature = None self.center_wavelength = None self.readout = None self.gain = None self.date = None self.exposuretime = None self.m_offset = None self.accumulations = None self.vertical_shift_speed = None self.model = None self.grating_blaze = None self._read_header(filepath) def __repr__(self) -> str: """Return a string representation of the SIFFile object""" info = ( ("Original Filename", self.original_filename), ("Date", self.date), ("Camera Model", self.model), ("Temperature (deg.C)", f"{self.temperature:f}"), ("Exposure Time", f"{self.exposuretime:f}"), ("Cycle Time", f"{self.cycletime:f}"), ("Number of accumulations", f"{self.accumulations:d}"), ("Pixel Readout Rate (MHz)", f"{self.readout:f}"), ("Horizontal Camera Resolution", f"{self.xres:d}"), ("Vertical Camera Resolution", f"{self.yres:d}"), ("Image width", f"{self.width:d}"), ("Image Height", f"{self.height:d}"), ("Horizontal Binning", f"{self.xbin:d}"), ("Vertical Binning", f"{self.ybin:d}"), ("EM Gain level", f"{self.gain:f}"), ("Vertical Shift Speed", f"{self.vertical_shift_speed:f}"), ("Pre-Amplifier Gain", f"{self.pre_amp_gain:f}"), ("Stacksize", f"{self.stacksize:d}"), ("Filesize", f"{self.filesize:d}"), ("Offset to Image Data", f"{self.m_offset:f}"), ) desc_len = max(len(d) for d in list(zip(*info))[0]) + 3 res = "" for description, value in info: res += ("{:" + str(desc_len) + "}{}\n").format(description + ": ", value) res = object.__repr__(self) + "\n" + res return res def _read_header(self, filepath: str) -> None: """Read SIF file header Args: filepath: path to SIF file """ with open(filepath, "rb") as sif_file: i_wavelength_info = None headerlen = None i = 0 self.m_offset = 0 while True: raw_line = sif_file.readline() line = raw_line.strip() if i == 0: if line != b"Andor Technology Multi-Channel File": sif_file.close() raise ValueError(f"{filepath} is not an Andor SIF file") elif i == 2: tokens = line.split() self.temperature = float(tokens[5]) self.date = time.strftime("%c", time.localtime(float(tokens[4]))) self.exposuretime = float(tokens[12]) self.cycletime = float(tokens[13]) self.accumulations = int(tokens[15]) self.readout = 1 / float(tokens[18]) / 1e6 self.gain = float(tokens[21]) self.vertical_shift_speed = float(tokens[41]) self.pre_amp_gain = float(tokens[43]) elif i == 3: self.model = to_string(line) elif i == 5: self.original_filename = to_string(line) if i_wavelength_info is None and i > 7: if line.startswith(b"65538 ") and len(line) == 17: i_wavelength_info = i + 1 if i_wavelength_info is not None and i == i_wavelength_info: wavelength_info = line.split() self.center_wavelength = float(wavelength_info[3]) self.grating = float(wavelength_info[6]) blaze = wavelength_info[7] if blaze.endswith(b"NM"): blaze = blaze[:-2] self.grating_blaze = float(blaze) if headerlen is None: if line.startswith(b"Counts"): headerlen = i + 3 else: if i == headerlen - 2: if line[:12] == b"Pixel number": line = line[12:] tokens = line.split() if len(tokens) < 6: raise ValueError("Not able to read stacksize.") self.yres = int(tokens[2]) self.xres = int(tokens[3]) self.stacksize = int(tokens[5]) elif i == headerlen - 1: tokens = line.split() if len(tokens) < 7: raise ValueError("Not able to read Image dimensions.") self.left = int(tokens[1]) self.top = int(tokens[2]) self.right = int(tokens[3]) self.bottom = int(tokens[4]) self.xbin = int(tokens[5]) self.ybin = int(tokens[6]) elif i >= headerlen: if b"\x00" in line: break i += 1 self.m_offset += len(raw_line) width = self.right - self.left + 1 mod = width % self.xbin self.width = int((width - mod) / self.ybin) height = self.top - self.bottom + 1 mod = height % self.ybin self.height = int((height - mod) / self.xbin) self.filesize = os.path.getsize(filepath) self.datasize = self.width * self.height * 4 * self.stacksize def read(self) -> np.ndarray: """Read the data from the SIF file Returns: The image data. The shape of the array is (stacksize, height, width) """ with open(self.filepath, "rb") as sif_file: sif_file.seek(self.m_offset) block = sif_file.read(self.width * self.height * self.stacksize * 4) data = np.frombuffer(block, dtype=np.float32) # If there is a background image, it will be stored just after the signal # data. The background image is the same size as the signal data. # To read the background image, we need to search for the next line starting # with "Counts" and read the data from there. while True: line = sif_file.readline() if not line: break if line.startswith(b"Counts"): # Data starts 4 lines after the "Counts" line for _ in range(4): line = sif_file.readline() # Read the background image data background_data = sif_file.read(self.width * self.height * 4) background = np.frombuffer(background_data, dtype=np.float32) # Check if the background data is the same size as the signal data if background.size != data.size: # This is not a background image: not supported format break # Add the background data to the signal data, as an additional frame data = np.concatenate((data, background)) # Update the stack size to include the background image self.stacksize += 1 break return data.reshape(self.stacksize, self.height, self.width) def imread_sif(filename: str) -> np.ndarray: """Open a SIF image Args: filename: path to SIF file Returns: Image data """ sif_file = SIFFile(filename) return sif_file.read() # MARK: SPIRICON I/O functions # ============================================================================== class SCORFile: """Object representing a SPIRICON .scor-data file Args: filepath: path to .scor-data file """ def __init__(self, filepath: str) -> None: self.filepath = filepath self.metadata = None self.width = None self.height = None self.m_offset = None self.filesize = None self.datasize = None self._read_header() def __repr__(self) -> str: """Return a string representation of the object""" info = ( ("Image width", f"{self.width:d}"), ("Image Height", f"{self.height:d}"), ("Filesize", f"{self.filesize:d}"), ("Datasize", f"{self.datasize:d}"), ("Offset to Image Data", f"{self.m_offset:f}"), ) desc_len = max(len(d) for d in list(zip(*info))[0]) + 3 res = "" for description, value in info: res += ("{:" + str(desc_len) + "}{}\n").format(description + ": ", value) res = object.__repr__(self) + "\n" + res return res def _read_header(self) -> None: """Read file header""" with open(self.filepath, "rb") as data_file: metadata = {} key1 = None while True: bline = data_file.readline().strip() key1_match = re.match(b"\\[(\\S*)\\]", bline) if key1_match is not None: key1 = key1_match.groups()[0].decode() metadata[key1] = {} elif b"=" in bline: key2, value = bline.decode().split("=") metadata[key1][key2] = value else: break capture_size = metadata["Capture"]["CaptureSize"] self.width, self.height = [int(val) for val in capture_size.split(",")] self.filesize = os.path.getsize(self.filepath) self.datasize = self.width * self.height * 2 self.m_offset = self.filesize - self.datasize - 8 def read(self) -> np.ndarray: """Read the data from the SPIRICON file Returns: The image data as a NumPy array with shape (height, width) """ with open(self.filepath, "rb") as data_file: data_file.seek(self.m_offset) block = data_file.read(self.datasize) data = np.frombuffer(block, dtype=np.int16) return data.reshape(self.height, self.width) def imread_scor(filename: str) -> np.ndarray: """Open a SPIRICON image Args: filename: path to SPIRICON file Returns: Image data """ scor_file = SCORFile(filename) return scor_file.read() # MARK: DICOM I/O functions # ============================================================================== # Original code: see PlotPy package (BSD 3-Clause license) def imread_dicom(filename: str) -> np.ndarray: """Open DICOM image with pydicom and return a NumPy array Args: filename: path to DICOM file Returns: Image data as a NumPy array """ # pylint: disable=import-outside-toplevel # pylint: disable=import-error from pydicom import dcmread # type:ignore dcm = dcmread(filename, force=True) # ********************************************************************** # The following is necessary until pydicom numpy support is improved: # (after that, a simple: 'arr = dcm.PixelArray' will work the same) format_str = f"{'u' if dcm.PixelRepresentation == 0 else ''}int{dcm.BitsAllocated}" try: dtype = np.dtype(format_str) except TypeError as exc: raise TypeError( f"Data type not understood by NumPy: " f"PixelRepresentation={dcm.PixelRepresentation}, " f"BitsAllocated={dcm.BitsAllocated}" ) from exc arr = np.frombuffer(dcm.PixelData, dtype) try: # pydicom 0.9.3: dcm_is_little_endian = dcm.isLittleEndian except AttributeError: # pydicom 0.9.4: dcm_is_little_endian = dcm.is_little_endian if dcm_is_little_endian != (sys.byteorder == "little"): arr.byteswap(True) spp = getattr(dcm, "SamplesperPixel", 1) if hasattr(dcm, "NumberOfFrames") and dcm.NumberOfFrames > 1: if spp > 1: arr = arr.reshape(spp, dcm.NumberofFrames, dcm.Rows, dcm.Columns) else: arr = arr.reshape(dcm.NumberOfFrames, dcm.Rows, dcm.Columns) else: if spp > 1: if dcm.BitsAllocated == 8: arr = arr.reshape(spp, dcm.Rows, dcm.Columns) else: raise NotImplementedError( "This code only handles SamplesPerPixel > 1 if Bits Allocated = 8" ) else: arr = arr.reshape(dcm.Rows, dcm.Columns) # ********************************************************************** return arr Sigima-1.1.1/sigima/io/signal/000077500000000000000000000000001514013333200160535ustar00rootroot00000000000000Sigima-1.1.1/sigima/io/signal/__init__.py000066400000000000000000000003731514013333200201670ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """ I/O features """ # pylint: disable=unused-import import sigima.io.signal.formats # noqa: F401 from sigima.io.signal.base import SignalIORegistry # noqa: F401 Sigima-1.1.1/sigima/io/signal/base.py000066400000000000000000000073251514013333200173460ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """ Base I/O registry """ # pylint: disable=invalid-name # Allows short reference names like x, y, ... from __future__ import annotations import abc import os.path as osp from typing import Sequence import numpy as np from sigima.config import _ from sigima.io.base import BaseIORegistry, FormatBase from sigima.objects.signal import SignalObj, create_signal from sigima.worker import CallbackWorkerProtocol class SignalIORegistry(BaseIORegistry): """Metaclass for registering signal I/O handler classes""" REGISTRY_INFO: str = _("Signal I/O formats") _io_format_instances: list[SignalFormatBase] = [] class SignalFormatBaseMeta(SignalIORegistry, abc.ABCMeta): """Mixed metaclass to avoid conflicts""" class SignalFormatBase(abc.ABC, FormatBase, metaclass=SignalFormatBaseMeta): """Class representing a signal file type""" HEADER_KEY = "header" @staticmethod def create_object(filename: str, index: int | None = None) -> SignalObj: """Create empty object Args: filename: File name index: Index of object in file Returns: Signal object """ name = osp.basename(filename) if index is not None: name += f" {index:02d}" return create_signal(name, metadata={"source": filename}) def create_signal( self, xydata: np.ndarray, filename: str, index: int | None = None ) -> SignalObj: """Create signal object from xydata and filename. Args: xydata: XY data filename: File name index: Index of object in file Returns: Signal object """ obj = self.create_object(filename, index=index) obj.set_xydata(xydata[:, 0], xydata[:, index or 1]) return obj def create_signals_from(self, xydata: np.ndarray, filename: str) -> list[SignalObj]: """Create signal objects from xydata and filename Args: xydata: XY data filename: File name Returns: List of signal objects """ assert isinstance(xydata, np.ndarray), "Data type not supported" assert len(xydata.shape) in (1, 2), "Data not supported" if len(xydata.shape) == 1: # 1D data obj = self.create_object(filename) obj.set_xydata(np.arange(xydata.size), xydata) return [obj] # 2D data: x, y1, y2, ... # Eventually transpose data: if xydata.shape[1] > xydata.shape[0]: xydata = xydata.T # If only data contains one x and y columns, return single object without index # in title if xydata.shape[1] == 2: return [self.create_signal(xydata, filename)] objs = [] # Create objects for each y column for i in range(1, xydata.shape[1]): objs.append(self.create_signal(xydata, filename, i)) return objs def read( self, filename: str, worker: CallbackWorkerProtocol | None = None ) -> Sequence[SignalObj]: """Read list of signal objects from file Args: filename: File name worker: Callback worker object Returns: List of signal objects """ xydata = self.read_xydata(filename) return self.create_signals_from(xydata, filename) def read_xydata(self, filename: str) -> np.ndarray: """Read data and metadata from file, write metadata to object, return xydata Args: filename: File name Returns: XY data """ raise NotImplementedError(f"Reading from {self.info.name} is not supported") Sigima-1.1.1/sigima/io/signal/formats.py000066400000000000000000000217401514013333200201040ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """ I/O signal formats """ from __future__ import annotations import numpy as np import pandas as pd import scipy.io as sio from guidata.io import HDF5Reader, HDF5Writer from sigima.config import _ from sigima.io import ftlab from sigima.io.base import FormatInfo from sigima.io.common.converters import convert_array_to_valid_dtype from sigima.io.signal import funcs from sigima.io.signal.base import SignalFormatBase from sigima.objects.signal import SignalObj from sigima.objects.signal.constants import ( DATETIME_X_FORMAT_KEY, DEFAULT_DATETIME_FORMAT, ) from sigima.worker import CallbackWorkerProtocol class HDF5SignalFormat(SignalFormatBase): """Object representing a HDF5 signal file type""" FORMAT_INFO = FormatInfo( name=_("HDF5 files"), extensions="*.h5sig", readable=True, writeable=True, ) GROUP_NAME = "signal" def read( self, filename: str, worker: CallbackWorkerProtocol | None = None ) -> list[SignalObj]: """Read list of signal objects from file Args: filename: File name worker: Callback worker object Returns: List of signal objects """ reader = HDF5Reader(filename) try: with reader.group(self.GROUP_NAME): obj = SignalObj() obj.deserialize(reader) except ValueError as exc: raise ValueError("No valid signal data found") from exc except Exception as exc: # pylint: disable=broad-except raise RuntimeError( f"Unexpected error reading HDF5 signal from {filename}" ) from exc finally: reader.close() return [obj] def write(self, filename: str, obj: SignalObj) -> None: """Write data to file Args: filename: Name of file to write obj: Signal object to read data from """ assert isinstance(obj, SignalObj), "Object is not a signal" writer = HDF5Writer(filename) with writer.group(self.GROUP_NAME): obj.serialize(writer) writer.close() class CSVSignalFormat(SignalFormatBase): """Object representing a CSV signal file type""" FORMAT_INFO = FormatInfo( name=_("CSV files"), extensions="*.csv *.txt", readable=True, writeable=True, ) def read( self, filename: str, worker: CallbackWorkerProtocol | None = None ) -> list[SignalObj]: """Read list of signal objects from file Args: filename: File name worker: Callback worker object Returns: List of signal objects """ csv_data = funcs.read_csv(filename, worker) if csv_data.ylabels: # If y labels are present, we are sure that the data contains at least # two columns (x and y) objs = [] for i, (ylabel, yunit) in enumerate(zip(csv_data.ylabels, csv_data.yunits)): obj = self.create_object( filename, i if len(csv_data.ylabels) > 1 else None ) obj.set_xydata(csv_data.xydata[:, 0], csv_data.xydata[:, i + 1]) obj.xlabel = csv_data.xlabel or "" # Set xunit, defaulting to 's' if datetime signal and no unit specified if csv_data.datetime_metadata and not csv_data.xunit: obj.xunit = "s" # Default unit for datetime signals else: obj.xunit = csv_data.xunit or "" obj.ylabel = ylabel or "" obj.yunit = yunit or "" if csv_data.header: obj.metadata[self.HEADER_KEY] = csv_data.header # Add datetime metadata if detected if csv_data.datetime_metadata: obj.metadata.update(csv_data.datetime_metadata) # Add column metadata (constant-value columns like serial numbers) if csv_data.column_metadata: obj.metadata.update(csv_data.column_metadata) objs.append(obj) return objs return self.create_signals_from(csv_data.xydata, filename) def write(self, filename: str, obj: SignalObj) -> None: """Write data to file Args: filename: Name of file to write obj: Signal object to read data from """ # If X is datetime, convert back to datetime strings for CSV if obj.is_x_datetime(): datetime_values = obj.get_x_as_datetime() # Convert to strings with appropriate format datetime_format = obj.metadata.get( DATETIME_X_FORMAT_KEY, DEFAULT_DATETIME_FORMAT ) x_data = pd.to_datetime(datetime_values).strftime(datetime_format).values # Create modified xydata with datetime strings in X column # We'll write manually with pandas to preserve datetime strings data_dict = {obj.xlabel or "Time": x_data, obj.ylabel or "Y": obj.y} df = pd.DataFrame(data_dict) df.to_csv(filename, index=False) else: funcs.write_csv( filename, obj.xydata, obj.xlabel, obj.xunit, [obj.ylabel], [obj.yunit], obj.metadata.get(self.HEADER_KEY, ""), ) class NumPySignalFormat(SignalFormatBase): """Object representing a NumPy signal file type""" FORMAT_INFO = FormatInfo( name=_("NumPy binary files"), extensions="*.npy", readable=True, writeable=True, ) # pylint: disable=duplicate-code def read_xydata(self, filename: str) -> np.ndarray: """Read data and metadata from file, write metadata to object, return xydata Args: filename: Name of file to read Returns: NumPy array xydata """ return convert_array_to_valid_dtype(np.load(filename), SignalObj.VALID_DTYPES) def write(self, filename: str, obj: SignalObj) -> None: """Write data to file Args: filename: Name of file to write obj: Signal object to read data from """ np.save(filename, obj.xydata.T) class MatSignalFormat(SignalFormatBase): """Object representing a MAT-File .mat signal file type""" FORMAT_INFO = FormatInfo( name=_("MAT-Files"), extensions="*.mat", readable=True, writeable=True, ) # pylint: disable=duplicate-code def read( self, filename: str, worker: CallbackWorkerProtocol | None = None ) -> list[SignalObj]: """Read data and metadata from file, write metadata to object, return xydata Args: filename: Name of file to read Returns: NumPy array xydata """ mat = sio.loadmat(filename) allsig: list[SignalObj] = [] for dname, data in mat.items(): if dname.startswith("__") or not isinstance(data, np.ndarray): continue for sig in self.create_signals_from(data.squeeze(), filename): if dname != "sig": sig.title += f" ({dname})" allsig.append(sig) return allsig def write(self, filename: str, obj: SignalObj) -> None: """Write data to file Args: filename: Name of file to write obj: Signal object to read data from """ # metadata cannot be saved as such as their type will be lost and # cause problems when reading the file back sio.savemat(filename, {"sig": obj.xydata.T}) class FTLabSignalFormat(SignalFormatBase): """FT-Lab signal file.""" FORMAT_INFO = FormatInfo( name=_("FT-Lab"), extensions="*.sig", readable=True, writeable=False, ) def read_xydata(self, filename: str) -> np.ndarray: """Read data and metadata from file, populate metadata, return xydata. Args: filename: Path to FT-Lab file. Returns: Signal data. """ return ftlab.sigread_ftlabsig(filename) class MCASignalFormat(SignalFormatBase): """Object representing a MCA signal file type""" FORMAT_INFO = FormatInfo( name=_("MCA files"), extensions="*.mca", readable=True, writeable=False, ) def read( self, filename: str, worker: CallbackWorkerProtocol | None = None ) -> list[SignalObj]: """Read list of signal objects from file Args: filename: File name worker: Callback worker object Returns: List of signal objects """ mca = funcs.MCAFile(filename) mca.read() obj = self.create_object(filename) obj.set_xydata(mca.x, mca.y) obj.xlabel = mca.xlabel or "" obj.metadata = mca.metadata return [obj] Sigima-1.1.1/sigima/io/signal/funcs.py000066400000000000000000000647551514013333200175640ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """ I/O signal functions """ # pylint: disable=invalid-name # Allows short reference names like x, y, ... from __future__ import annotations import datetime import re import warnings from dataclasses import dataclass from typing import TextIO import numpy as np import pandas as pd import scipy.interpolate from sigima.io.common.textreader import count_lines, read_first_n_lines from sigima.objects.signal.constants import ( DATETIME_X_FORMAT_KEY, DATETIME_X_KEY, DEFAULT_DATETIME_FORMAT, ) from sigima.worker import CallbackWorkerProtocol def get_labels_units_from_dataframe( df: pd.DataFrame, ) -> tuple[str, list[str], str, list[str]]: """Get labels and units from a DataFrame. Args: df: DataFrame Returns: Tuple (xlabel, ylabels, xunit, yunits) """ # Reading X,Y labels xlabel = str(df.columns[0]) ylabels = [str(col) for col in df.columns[1:]] # Retrieving units from labels xunit = "" yunits = [""] * len(ylabels) pattern = r"([\S ]*) \(([\S]*)\)" match = re.match(pattern, xlabel) if match is not None: xlabel, xunit = match.groups() for i, ylabel in enumerate(ylabels): match = re.match(pattern, ylabel) if match is not None: ylabels[i], yunits[i] = match.groups() return xlabel, ylabels, xunit, yunits def read_csv_by_chunks( fname_or_fileobj: str | TextIO, nlines: int | None = None, worker: CallbackWorkerProtocol | None = None, decimal: str = ".", delimiter: str | None = None, header: int | None = "infer", skiprows: int | None = None, nrows: int | None = None, comment: str | None = None, chunksize: int = 1000, ) -> pd.DataFrame: """Read CSV data with primitive options, using pandas read_csv function defaults, and reading data in chunks, using the iterator interface. Args: fname_or_fileobj: CSV file name or text stream object nlines: Number of lines contained in file (this argument is mandatory if `fname_or_fileobj` is a text stream object: counting line numbers from a text stream is not efficient, especially if one already has access to the initial text content from which the text stream was made) worker: Callback worker object decimal: Decimal character delimiter: Delimiter header: Header line skiprows: Skip rows nrows: Number of rows to read comment: Comment character chunksize: Chunk size Returns: DataFrame """ if isinstance(fname_or_fileobj, str): nlines = count_lines(fname_or_fileobj) elif nlines is None: raise ValueError("Argument `nlines` must be passed for text streams") # Read data in chunks, and concatenate them at the end, thus allowing to call the # progress callback function at each chunk read and to return an intermediate result # if the operation is canceled. chunks = [] for chunk in pd.read_csv( fname_or_fileobj, decimal=decimal, delimiter=delimiter, header=header, skiprows=skiprows, nrows=nrows, comment=comment, chunksize=chunksize, encoding_errors="ignore", ): chunks.append(chunk) # Compute the progression based on the number of lines read so far if worker is not None: worker.set_progress(sum(len(chunk) for chunk in chunks) / nlines) if worker.was_canceled(): break return pd.concat(chunks) DATA_HEADERS = [ "#DATA", # Generic "START_OF_DATA", # Various logging devices ">>>>>Begin Spectral Data<<<<<", # Ocean Optics ">>>Begin Data<<<", # Ocean Optics (alternative) ">>>Begin Spectrum Data<<<", # Avantes "# Data Start", # Andor, Horiba, Mass Spectrometry (Agilent, Thermo Fisher, ...) ">DATA START<", # Mass Spectrometry, Chromatography "BEGIN DATA", # Mass Spectrometry, Chromatography "", # Mass Spectrometry (XML-based) "##Start Data", # Bruker (X-ray, Raman, FTIR) "[DataStart]", # PerkinElmer (FTIR, UV-Vis) "BEGIN SPECTRUM", # PerkinElmer "%% Data Start %%", # LabVIEW, MATLAB "---Begin Data---", # General scientific instruments "===DATA START===", # Industrial/scientific devices ] def _read_df_without_header( filename: str, skiprows: int | None = None ) -> tuple[pd.DataFrame | None, str, str]: """Try to read a CSV file without header, testing various delimiters and decimal. Args: filename: CSV file name skiprows: Number of rows to skip at the beginning of the file Returns: A tuple (DataFrame if successful, None otherwise, decimal used, delimiter used) """ for decimal in (".", ","): for delimiter in (",", ";", r"\s+"): try: df = pd.read_csv( filename, decimal=decimal, delimiter=delimiter, header=None, comment="#", nrows=1000, # Read only the first 1000 lines encoding_errors="ignore", skiprows=skiprows, dtype=float, # Keep dtype to validate delimiter detection ) break except (pd.errors.ParserError, ValueError): df = None if df is not None: break return df, decimal, delimiter def _read_df_with_header(filename: str) -> tuple[pd.DataFrame | None, str, str]: """Try to read a CSV file with header, testing various delimiters and decimal. Args: filename: CSV file name Returns: A tuple (DataFrame if successful, None otherwise, decimal used, delimiter used) """ for decimal in (".", ","): for delimiter in (",", ";", r"\s+"): # Headers are generally in the first 10 lines, so we try to skip the # minimum number of lines before reading the data: for skiprows in range(20): try: df = pd.read_csv( filename, decimal=decimal, delimiter=delimiter, skiprows=skiprows, comment="#", nrows=1000, # Read only the first 1000 lines encoding_errors="ignore", ) # Validate: CSV should have at least 2 columns (x and y) # If only 1 column, likely wrong delimiter if df.shape[1] >= 2: break # Good delimiter found df = None # Try next delimiter except (pd.errors.ParserError, ValueError): df = None if df is not None: break if df is not None: break return df, decimal, delimiter def _detect_metadata_cols(df: pd.DataFrame) -> tuple[pd.DataFrame, dict]: """Detect columns containing constant/single-value metadata. Columns with a single unique value (excluding NaN) across all rows are treated as metadata rather than data columns. These are typically instrument serial numbers, experiment IDs, or other constant identifiers. Args: df: Input DataFrame Returns: A tuple (DataFrame with metadata columns removed, dict of metadata key-value pairs) """ metadata = {} cols_to_drop = [] # Start from column 1 (skip X column) and check for constant-value columns for col_idx in range(1, df.shape[1]): col_data = df.iloc[:, col_idx] col_name = df.columns[col_idx] # Get unique non-NaN values unique_values = col_data.dropna().unique() # If column has exactly one unique value (excluding NaN), it's metadata if len(unique_values) == 1: # Store the metadata value = unique_values[0] # Try to convert to appropriate type (keep as string if necessary) try: # Try int first if float(value).is_integer(): value = int(float(value)) else: value = float(value) except (ValueError, TypeError): # Keep as string value = str(value) metadata[str(col_name)] = value cols_to_drop.append(col_name) # Store column name, not index # Drop metadata columns from DataFrame if cols_to_drop: df = df.drop(columns=cols_to_drop) return df, metadata def _detect_datetime_col(df: pd.DataFrame) -> tuple[pd.DataFrame, dict | None]: """Try to detect the presence of a datetime column in a DataFrame. Detect if the first or second column contains datetime values, and convert it to float timestamps if so. Args: df: Input DataFrame Returns: A tuple (DataFrame with datetime column converted, datetime metadata dict) """ datetime_col_idx = None for col_idx in [0, 1]: # Check first two columns col_data = df.iloc[:, col_idx] # Skip numeric columns - datetime columns in CSV are loaded as object (string) # dtype, not as float/int. Numeric values (like frequencies in Hz) would be # wrongly interpreted as nanoseconds since Unix epoch by pd.to_datetime. if pd.api.types.is_numeric_dtype(col_data): continue # Try to convert to datetime try: # Attempt to parse as datetime # Note: format="mixed" was causing failures in some pandas versions, # so we use warnings filter to suppress the UserWarning instead with warnings.catch_warnings(): warnings.filterwarnings( "ignore", message="Could not infer format", category=UserWarning, ) datetime_series = pd.to_datetime(col_data, errors="coerce") # Check if most values were successfully converted (>90%) valid_ratio = datetime_series.notna().sum() / len(datetime_series) # Skip if conversion ratio is too low if valid_ratio <= 0.9: continue # Check if values have reasonable variation and are actual dates unique_dates = datetime_series.dropna().nunique() if unique_dates <= 1: continue # Check date range - should be reasonable dates, not epoch times min_date = datetime_series.min() max_date = datetime_series.max() # Dates should be after 1900 and the range should be > 1 sec valid_datetime = ( min_date.year >= 1900 and (max_date - min_date).total_seconds() > 1.0 ) if valid_datetime: # This is a datetime column! datetime_col_idx = col_idx break except (ValueError, TypeError, pd.errors.OutOfBoundsDatetime): # Not a datetime column, continue checking pass datetime_metadata = None if datetime_col_idx is not None: # Convert datetime column to float timestamps col_data = df.iloc[:, datetime_col_idx] with warnings.catch_warnings(): warnings.filterwarnings( "ignore", message="Could not infer format", category=UserWarning ) datetime_series = pd.to_datetime(col_data, errors="coerce") x_float = datetime_series.astype(np.int64) / 1e9 # Store datetime metadata (unit will be stored in xunit attribute) datetime_metadata = { DATETIME_X_KEY: True, DATETIME_X_FORMAT_KEY: DEFAULT_DATETIME_FORMAT, } # If datetime is in column 1 and column 0 looks like an index, drop column 0 if datetime_col_idx == 1: try: # Try to convert first column to int - if sequential, # it's likely an index column first_col = pd.to_numeric(df.iloc[:, 0], errors="coerce") if first_col.notna().all(): # Check if it's a sequential index (1, 2, 3, ...) diffs = first_col.diff().dropna() if (diffs == 1).sum() / len(diffs) > 0.9: # Drop the index column df = df.iloc[:, 1:].copy() datetime_col_idx = 0 # Now datetime is in position 0 except (ValueError, TypeError): pass # Replace datetime column with float timestamps df.iloc[:, datetime_col_idx] = x_float return df, datetime_metadata @dataclass class CSVData: """Data structure for CSV file contents. This dataclass encapsulates all the data extracted from a CSV file, including the actual XY data, labels, units, and metadata. Attributes: xydata: Numpy array containing X and Y data columns xlabel: Label for the X axis xunit: Unit for the X axis ylabels: List of labels for Y columns yunits: List of units for Y columns header: Optional header text from the CSV file datetime_metadata: Optional dict with datetime conversion info column_metadata: Optional dict with constant-value column metadata """ xydata: np.ndarray xlabel: str | None = None xunit: str | None = None ylabels: list[str] | None = None yunits: list[str] | None = None header: str | None = None datetime_metadata: dict | None = None column_metadata: dict | None = None def read_csv( filename: str, worker: CallbackWorkerProtocol | None = None, ) -> CSVData: """Read CSV data and return parsed components including datetime metadata. Args: filename: CSV file name worker: Callback worker object Returns: CSVData object containing all parsed CSV components """ xydata, xlabel, xunit, ylabels, yunits = None, None, None, None, None header, datetime_metadata, column_metadata = None, None, {} # The first attempt is to read the CSV file assuming it has no header because it # won't raise an error if the first line is data. If it fails, we try to read it # with a header, and if it fails again, we try to skip some lines before reading # the data. skiprows = None # Begin by reading the first 100 lines to search for a line that could mark the # beginning of the data after it (e.g., a line '#DATA' or other). first_100_lines = read_first_n_lines(filename, n=100).splitlines() for data_header in DATA_HEADERS: if data_header in first_100_lines: # Skip the lines before the data header skiprows = first_100_lines.index(data_header) + 1 break # First attempt: no header (try to read with different delimiters) read_without_header = True df, decimal, delimiter = _read_df_without_header(filename, skiprows=skiprows) # Second attempt: with header if df is None: df, decimal, delimiter = _read_df_with_header(filename) if df is None: raise ValueError("Unable to read CSV file (format not supported)") # At this stage, we have a DataFrame with column names, but we don't know # if the first line is a header or data. We try to read the first line as # a header, and if it fails, we read it as data. try: # Try to convert columns to float - if first column is datetime, this will # fail and we know we have a header first_col_numeric = pd.to_numeric(df.columns[0], errors="coerce") if pd.notna(first_col_numeric): # First column name is numeric, might be data df.columns.astype(float) # This means the first line is data, so we re-read it, but # without the header: read_without_header = True except (ValueError, TypeError): # TypeError can occur with pandas >= 2.2 read_without_header = False # This means that the first line is a header, so we already have the data # without missing values. # However, it also means that there could be text information preceding # the header. Let's try to read it and put it in `header` variable. # 1. We read only the first 1000 lines to avoid reading the whole file # 2. We keep only the lines beginning with a comment character # 3. We join the lines to create a single string header = "" with open(filename, "r", encoding="utf-8") as file: for _ in range(1000): line = file.readline() if line.startswith("#"): header += line else: break # Remove the last line if it contains the column names: last_line = header.splitlines()[-1] if header.splitlines() else "" if str(df.columns[0]) in last_line: header = "\n".join(header.splitlines()[:-1]) # Now we read the whole file with the correct options try: df = read_csv_by_chunks( filename, worker=worker, decimal=decimal, delimiter=delimiter, header=None if read_without_header else "infer", skiprows=skiprows, comment="#", ) except pd.errors.ParserError: # If chunked reading fails (e.g., ragged CSV), try different approaches df = None # Try with python engine (more flexible) for skip in [skiprows, 0, 9, 10, 15, 20]: # Try different skiprows values if df is not None: break try: df = pd.read_csv( filename, decimal=decimal, delimiter=delimiter, header=None if read_without_header else "infer", skiprows=skip, comment="#", engine="python", encoding_errors="ignore", ) break # Success! except (pd.errors.ParserError, ValueError): continue # If still failing, try auto-detect if df is None: try: df = pd.read_csv( filename, engine="python", encoding_errors="ignore", comment="#", ) except (pd.errors.ParserError, ValueError) as e: raise ValueError(f"Unable to parse CSV file: {e}") from e # Remove rows and columns where all values are NaN in the DataFrame: df = df.dropna(axis=0, how="all").dropna(axis=1, how="all") # Check if first row contains header strings (non-numeric values in all columns) # This happens when header="infer" fails to detect the header if not df.empty and isinstance(df.columns[0], (int, np.integer)): # Columns are integers, not strings - header wasn't properly parsed first_row = df.iloc[0] # Count how many values in first row are non-numeric strings non_numeric_count = 0 for val in first_row: try: float(val) except (ValueError, TypeError): if isinstance(val, str): non_numeric_count += 1 # If most of first row is non-numeric strings, it's likely a header row if non_numeric_count / len(first_row) > 0.5: # Use first row as column names df.columns = first_row.values # Drop the first row (header) df = df.iloc[1:].reset_index(drop=True) # Try to detect datetime columns - check first two columns # Often CSV files have an index column, then a datetime column if not df.empty and df.shape[1] >= 2: df, datetime_metadata = _detect_datetime_col(df) # Try to detect metadata columns (constant-value columns like serial numbers) # This must be done after datetime detection but before converting to numpy if not df.empty and df.shape[1] >= 2: df, column_metadata = _detect_metadata_cols(df) # Converting to NumPy array try: xydata = df.to_numpy(float) except (ValueError, TypeError): # If conversion fails, try converting each column individually # and dropping columns that can't be converted for col in df.columns: df[col] = pd.to_numeric(df[col], errors="coerce") df = df.dropna(axis=1, how="all") xydata = df.to_numpy(float) if xydata.size == 0: raise ValueError( f"Unable to read CSV file (no supported data after cleaning): {filename}" ) xlabel, ylabels, xunit, yunits = get_labels_units_from_dataframe(df) return CSVData( xydata=xydata, xlabel=xlabel, xunit=xunit, ylabels=ylabels, yunits=yunits, header=header, datetime_metadata=datetime_metadata, column_metadata=column_metadata, ) def write_csv( filename: str, xydata: np.ndarray, xlabel: str | None, xunit: str | None, ylabels: list[str] | None, yunits: list[str] | None, header: str | None, ) -> None: """Write CSV data. Args: filename: CSV file name xydata: XY data xlabel: X label xunit: X unit ylabels: Y labels yunits: Y units header: Header """ labels = "" delimiter = "," if len(ylabels) == 1: ylabels = ["Y"] if not ylabels[0] else ylabels elif ylabels: ylabels = [ f"Y{i + 1}" if not label else label for i, label in enumerate(ylabels) ] if yunits: ylabels = [ f"{label} ({unit})" if unit else label for label, unit in zip(ylabels, yunits) ] if ylabels: xlabel = xlabel or "X" if xunit: xlabel += f" ({xunit})" labels = delimiter.join([xlabel] + ylabels) df = pd.DataFrame(xydata.T, columns=[xlabel] + ylabels) df.to_csv(filename, index=False, header=labels, sep=delimiter) # Add header if present if header: with open(filename, "r+", encoding="utf-8") as file: content = file.read() file.seek(0, 0) file.write(header + "\n" + content) class MCAFile: """Class to handle MCA files.""" def __init__(self, filename: str) -> None: self.filename = filename self.raw_data: str = "" self.xlabel: str | None = None self.x: np.ndarray | None = None self.y: np.ndarray | None = None self.metadata: dict[str, str] = {} def __try_decode(self, raw_bytes: bytes) -> str: """Try to decode raw bytes with the specified encoding.""" encodings_to_try = ["utf-8", "utf-8-sig", "latin-1", "cp1252"] for enc in encodings_to_try: try: return raw_bytes.decode(enc) except UnicodeDecodeError: continue # If all attempts fail, use 'utf-8' with replacement warnings.warn("All decoding attempts failed. Used 'utf-8' with replacement.") return raw_bytes.decode("utf-8", errors="replace") def _read_raw_data(self) -> str: """Read the raw data from the MCA file, trying multiple encodings.""" with open(self.filename, "rb") as file: raw_bytes = file.read() raw_data = self.__try_decode(raw_bytes) self.raw_data = raw_data.replace("\r\n", "\n").replace("\r", "\n") def _read_section(self, section: str) -> str | None: """Read a section from the raw data.""" pattern = f"(?:.*)(^<<{section}>>$)(.*?)(?:<<.*>>)" match = re.search(pattern, self.raw_data, re.DOTALL + re.MULTILINE) if match: return match.group(2).strip() return None @staticmethod def _infer_string_value(value_str: str) -> str | float | int | datetime.datetime: """Infer the type of a string value and convert it accordingly.""" # Try to convert the value to a number or datetime try: if value_str.isdigit(): value = int(value_str) else: try: value = float(value_str) except ValueError: # Try to parse as datetime try: value = datetime.datetime.strptime( value_str, "%m/%d/%Y %H:%M:%S" ) except ValueError: value = value_str # Keep as string except ValueError: value = value_str return value def _extract_metadata_from_section( self, section: str ) -> dict[str, str | float | int | datetime.datetime]: """Extract metadata from a specific section.""" section_contents = self._read_section(section) if section_contents is None: return {} metadata = {} patterns = (r"(.*?) - (.*?)$", r"(.*?)\s*: \s*(.*)$", r"(.*?)\s*=\s*(.*);") for line in section_contents.splitlines(): for pattern in patterns: match = re.match(pattern, line) if match: key, value_str = match.groups() metadata[key.strip()] = self._infer_string_value(value_str.strip()) break return metadata def read(self) -> None: """Read the MCA file and extract data and metadata.""" self._read_raw_data() self.metadata = self._extract_metadata_from_section("PMCA SPECTRUM") additional_metadata = self._extract_metadata_from_section("DPP STATUS") self.metadata.update(additional_metadata) data_section = self._read_section("DATA") self.y = np.fromstring(data_section, sep=" ") if data_section else None if self.y is not None: self.x = np.arange(len(self.y)) cal_section = self._read_section("CALIBRATION") if cal_section: cal_metadata = self._extract_metadata_from_section(cal_section) self.xlabel = cal_metadata.get("LABEL") cal_data = np.array( [ [float(v) for v in val.split(" ")] for val in cal_section.splitlines()[1:] ] ) self.x = scipy.interpolate.interp1d( cal_data[:, 0], cal_data[:, 1], bounds_error=False, fill_value="extrapolate", )(self.x) Sigima-1.1.1/sigima/locale/000077500000000000000000000000001514013333200154265ustar00rootroot00000000000000Sigima-1.1.1/sigima/locale/fr/000077500000000000000000000000001514013333200160355ustar00rootroot00000000000000Sigima-1.1.1/sigima/locale/fr/LC_MESSAGES/000077500000000000000000000000001514013333200176225ustar00rootroot00000000000000Sigima-1.1.1/sigima/locale/fr/LC_MESSAGES/sigima.po000066400000000000000000001242041514013333200214360ustar00rootroot00000000000000# French translations for sigima. # Copyright (C) 2026 DataLab Platform Developers # This file is distributed under the same license as the sigima project. # msgid "" msgstr "" "Project-Id-Version: sigima\n" "Report-Msgid-Bugs-To: p.raybaut@codra.fr\n" "PO-Revision-Date: 2025-05-22 15:46+0200\n" "Language: fr\n" "Language-Team: DataLab Platform Developers 1);\n" "MIME-Version: 1.0\n" "Content-Type: text/plain; charset=utf-8\n" "Content-Transfer-Encoding: 8bit\n" "Generated-By: Babel 2.17.0\n" msgid "If True, the FFT operations will apply a shift to the zero frequency component to the center of the spectrum. This is useful for visualizing frequency components in a more intuitive way." msgstr "Si vrai, les opérations FFT appliqueront un décalage de la composante de fréquence nulle au centre du spectre. Cela est utile pour visualiser les composantes de fréquence de manière plus intuitive." msgid "If True, convolution kernels will be automatically normalized to sum to 1.0 before convolution. This ensures that the output signal or image has the same overall magnitude as the input when using smoothing kernels. Set to False to preserve the mathematical properties of the original kernel." msgstr "Si vrai, les noyaux de convolution seront automatiquement normalisés pour que leur somme soit égale à 1.0 avant la convolution. Cela garantit que le signal ou l'image de sortie a la même magnitude globale que l'entrée lors de l'utilisation de noyaux de lissage. Réglez sur Faux pour préserver les propriétés mathématiques du noyau original." msgid "" "List of supported image I/O formats. Each format is a tuple of\n" "``(file_extension, description)``.\n" "\n" "The ``sigima`` library supports any image format that can be read by the ``imageio``\n" "library, provided that the associated plugin(s) are installed (see `imageio\n" "documentation `_)\n" "and that the output NumPy array data type and shape are supported by ``sigima``.\n" "\n" "To add a new file format, you may use the ``imageio_formats`` option to specify\n" "additional formats. Each entry should be a tuple of (file extension, description).\n" msgstr "" "Liste des formats d'entrée/sortie d'images pris en charge. Chaque format est un tuple de\n" "(extension de fichier, description).\n" "\n" "La bibliothèque ``sigima`` prend en charge tout format d'image qui peut être lu par la bibliothèque ``imageio``\n" "à condition que le(s) plugin(s) associé(s) soient installés (voir la documentation ``imageio\n" "``)\n" "et que le type de données et la forme du tableau NumPy de sortie soient pris en charge par ``sigima``.\n" "\n" "Pour ajouter un nouveau format de fichier, vous pouvez utiliser l'option ``imageio_formats`` pour spécifier\n" "des formats supplémentaires. Chaque entrée doit être un tuple de (extension de fichier, description).\n" msgid "" "Backend library for visualization (sigima.viz module).\n" "\n" "Valid values: ``\"auto\"``, ``\"plotpy\"``, ``\"matplotlib\"``.\n" "\n" "- ``\"auto\"`` (default): Automatically select PlotPy if available, otherwise Matplotlib\n" "- ``\"plotpy\"``: Use PlotPy for interactive visualizations (requires PlotPy and Qt)\n" "- ``\"matplotlib\"``: Use Matplotlib for visualizations (simpler, view-only)\n" "\n" "This setting can also be overridden using the ``SIGIMA_VIZ_BACKEND`` environment\n" "variable. Note that Matplotlib backend does not support all features of PlotPy\n" "(e.g., ``create_segment()``, ``create_cursor()``, etc. will raise NotImplementedError).\n" msgstr "" "Bibliothèque backend pour la visualisation des tests (tests interactifs uniquement).\n" "\n" "Valeurs valides : ``\"auto\"``, ``\"plotpy\"``, ``\"matplotlib\"``.\n" "\n" "- ``\"auto\"`` (par défaut) : Sélectionner automatiquement PlotPy si disponible, sinon Matplotlib\n" "- ``\"plotpy\"`` : Utiliser PlotPy pour les visualisations interactives (nécessite PlotPy et Qt)\n" "- ``\"matplotlib\"`` : Utiliser Matplotlib pour les visualisations (plus simple, statique)\n" "\n" "Ce paramètre peut également être remplacé en utilisant la variable d'environnement ``SIGIMA_VIZ_BACKEND``.\n" "Notez que le backend Matplotlib ne prend pas en charge toutes les fonctionnalités de PlotPy\n" "(par exemple, ``create_segment()``, ``create_cursor()``, etc. lèveront NotImplementedError).\n" msgid "Ellipse" msgstr "Ellipse" msgid "Circle" msgstr "Cercle" msgid "Polygon" msgstr "Polygone" msgid "Bottom-right" msgstr "En bas à droite" msgid "Around" msgstr "Autour" msgid "Cosine" msgstr "Cosinus" msgid "Exponential" msgstr "Exponentielle" msgid "Flat Top" msgstr "Flat Top" msgid "Gaussian" msgstr "Gaussienne" msgid "Linear" msgstr "Linéaire" msgid "Spline" msgstr "Spline" msgid "Quadratic" msgstr "Quadratique" msgid "Cubic" msgstr "Cubique" msgid "Barycentric" msgstr "Barycentrique" msgid "PCHIP" msgstr "PCHIP" msgid "Nearest" msgstr "Plus proche voisin" msgid "Maximum" msgstr "Maximum" msgid "Amplitude" msgstr "Amplitude" msgid "Area" msgstr "Aire" msgid "Energy" msgstr "Energie" msgid "RMS" msgstr "RMS" msgid "Brickwall" msgstr "Filtre idéal" msgid "Elliptic" msgstr "Elliptique" msgid "Each signal becomes a row" msgstr "Chaque signal devient une ligne" msgid "Each signal becomes a column" msgstr "Chaque signal devient une colonne" msgid "Rectangle" msgstr "Rectangle" msgid "All supported files" msgstr "Tous les fichiers pris en charge" msgid "Directory" msgstr "Répertoire" msgid "Basename pattern" msgstr "Modèle de nom de base" #, python-brace-format msgid "" "Pattern accepts a Python format string.\n" "\n" "Standard Python formatting fields may be used, including:\n" "{title}, {index}, {count}, {xlabel}, {xunit}, {ylabel}, {yunit},\n" "{metadata}, {metadata[key]}" msgstr "" "Le modèle accepte une chaîne de format Python.\n" "\n" "Les champs de formatage Python standard peuvent être utilisés, y compris :\n" "{title}, {index}, {count}, {xlabel}, {xunit}, {ylabel}, {yunit},\n" "{metadata}, {metadata[key]}" msgid "Extension" msgstr "Extension" msgid "File extension with leading dot (e.g. .txt or .csv)" msgstr "Extension de fichier avec un point de tête (par exemple .txt ou .csv)" msgid "Overwrite" msgstr "Écraser" msgid "Overwrite existing files" msgstr "Écraser les fichiers existants" msgid "Image I/O formats" msgstr "Formats d'entrée/sortie d'images" msgid "Text files" msgstr "Fichiers texte" msgid "MAT-Files" msgstr "Fichiers MAT" msgid "Signal I/O formats" msgstr "Formats d'entrée/sortie de signaux" msgid "HDF5 files" msgstr "Fichiers HDF5" msgid "CSV files" msgstr "Fichiers CSV" msgid "NumPy binary files" msgstr "Fichiers binaires NumPy" msgid "FT-Lab" msgstr "FT-Lab" msgid "MCA files" msgstr "Fichiers MCA" msgid "Seed" msgstr "Graine" msgid "Uniform distribution lower bound" msgstr "Borne inférieure de la distribution uniforme" msgid "Uniform distribution higher bound" msgstr "Borne supérieure de la distribution uniforme" msgid "Normal distribution mean" msgstr "Moyenne de la distribution normale" msgid "Normal distribution standard deviation" msgstr "Ecart-type de la distribution normale" msgid "Poisson distribution mean" msgstr "Moyenne de la distribution de Poisson" msgid "Zero" msgstr "Zéro" msgid "Normal distribution" msgstr "Distribution normale" msgid "Poisson distribution" msgstr "Distribution de Poisson" msgid "Uniform distribution" msgstr "Distribution uniforme" msgid "2D ramp" msgstr "Rampe 2D" msgid "Checkerboard" msgstr "Damier" msgid "Sinusoidal grating" msgstr "Réseau sinusoïdal" msgid "Ring pattern" msgstr "Motif en anneaux" msgid "Siemens star" msgstr "Étoile de Siemens" msgid "2D sinc" msgstr "Sinc 2D" msgid "Untitled image" msgstr "Image sans titre" msgid "Title" msgstr "Titre" msgid "Image height: number of rows" msgstr "Hauteur de l'image : nombre de lignes" msgid "Height" msgstr "Hauteur" msgid "Image width: number of columns" msgstr "Largeur de l'image : nombre de colonnes" msgid "Width" msgstr "Largeur" msgid "Type" msgstr "Type" msgid "Image data type" msgstr "Type de données de l'image" msgid "X label" msgstr "Titre X" msgid "X unit" msgstr "Unité X" msgid "Y label" msgstr "Titre Y" msgid "Y unit" msgstr "Unité Y" msgid "Z label" msgstr "Titre Z" msgid "Z unit" msgstr "Unité Z" msgid "Coefficients" msgstr "Coefficients" msgid "Domain" msgstr "Domaine" msgid "Checkerboard pattern with alternating squares" msgstr "Motif en damier avec des carrés alternés" msgid "Square size" msgstr "Taille des carrés" msgid "Size of each square in pixels" msgstr "Taille de chaque carré en pixels" msgid "X offset" msgstr "Décalage X" msgid "Y offset" msgstr "Décalage Y" msgid "Value for dark squares" msgstr "Valeur des carrés foncés" msgid "Minimum value" msgstr "Minimum" msgid "Value for light squares" msgstr "Valeur des carrés clairs" msgid "Maximum value" msgstr "Maximum" msgid "Amplitude and offset" msgstr "Amplitude et décalage" msgid "DC offset" msgstr "Décalage DC" msgid "Frequency and phase" msgstr "Fréquence et phase" msgid "Spatial frequency in X direction" msgstr "Fréquence spatiale selon X" msgid "Spatial frequency in Y direction" msgstr "Fréquence spatiale selon Y" msgid "Phase" msgstr "Phase" msgid "Concentric ring pattern" msgstr "Motif en anneaux concentriques" msgid "Center X coordinate" msgstr "Coordonnées du centre X" msgid "Center Y coordinate" msgstr "Coordonnées du centre Y" msgid "Ring parameters" msgstr "Paramètres des anneaux" msgid "Period" msgstr "Période" msgid "Distance between ring centers" msgstr "Distance entre les centres des anneaux" msgid "Ring width" msgstr "Largeur des anneaux" msgid "Width of each ring" msgstr "Largeur de chaque anneau" msgid "Siemens star pattern for resolution testing" msgstr "Motif étoile de Siemens pour les tests de résolution" msgid "Number of spokes" msgstr "Nombre de rayons" msgid "Number of spoke pairs" msgstr "Nombre de paires de rayons" msgid "Radial limits" msgstr "Limites radiales" msgid "Inner radius" msgstr "Rayon intérieur" msgid "Inner radius (hole in center)" msgstr "Rayon intérieur (trou au centre)" msgid "Outer radius" msgstr "Rayon extérieur" msgid "Outer radius (edge of pattern)" msgstr "Rayon extérieur (bord du motif)" msgid "Center and scale" msgstr "Centre et échelle" msgid "Scale factor" msgstr "Facteur d'échelle" msgid "Data" msgstr "Données" msgid "Metadata" msgstr "Métadonnées" msgid "Annotations" msgstr "Annotations" msgid "Uniform coordinates" msgstr "Coordonnées uniformes" msgid "Origin" msgstr "Origine" msgid "Pixel spacing" msgstr "Taille des pixels" msgid "Extent" msgstr "Bornes" msgid "Coordinates" msgstr "Coordonnées" msgid "X coordinates" msgstr "Coordonnées X" msgid "Y coordinates" msgstr "Coordonnées Y" msgid "Titles / Units" msgstr "Titres / Unités" msgid "Image title" msgstr "Titre de l'image" msgid "Untitled" msgstr "Sans titre" msgid "X-axis" msgstr "Axe des X" msgid "Unit" msgstr "Unité" msgid "Y-axis" msgstr "Axe des Y" msgid "Z-axis" msgstr "Axe des Z" msgid "Scales" msgstr "Echelles" msgid "Auto scale" msgstr "Echelle automatique" msgid "Logarithmic scale" msgstr "Echelle logarithmique" msgid "Lower bound" msgstr "Borne inférieure" msgid "Upper bound" msgstr "Borne supérieure" msgid "LUT range" msgstr "Plage de LUT" msgid "This is a set of parameters defining a Region of Interest (ROI) in an image. The parameters can be used to create a ROI object or to extract data from an image using the ROI.

All values are expressed in physical coordinates (floats). The conversion to pixel coordinates is done by taking into account the image pixel size and origin.
" msgstr "Ceci est un ensemble de paramètres définissant une Région d'Intérêt (ROI) dans une image. Les paramètres peuvent être utilisés pour créer un objet ROI ou pour extraire des données d'une image en utilisant la ROI.

Toutes les valeurs sont exprimées en coordonnées physiques (flottantes). La conversion en coordonnées de pixels est effectuée en tenant compte de la taille des pixels et de l'origine de l'image.
" msgid "ROI title" msgstr "Titre de la ROI" msgid "Geometry" msgstr "Géométrie" msgid "Top left corner" msgstr "Coin supérieur gauche" msgid "Center coordinates" msgstr "Coordonnées du centre" msgid "Radius" msgstr "Rayon" msgid "Inverse ROI logic" msgstr "Inverser la logique de la ROI" msgid "" "When disabled (default), the ROI defines an area inside the shape on which to focus (masking data outside).\n" "When enabled, the ROI logic is inverted to focus on data outside the shape (masking data inside)." msgstr "" "Lorsque le réglage est désactivé (par défaut), la ROI définit une zone à l'intérieur de la forme sur laquelle se concentrer (masquant les données à l'extérieur).\n" "Lorsque le réglage est activé, la logique de la ROI est inversée pour se concentrer sur les données à l'extérieur de la forme (masquant les données à l'intérieur)." msgid "Lorentzian" msgstr "Lorentzienne" msgid "Voigt" msgstr "Voigt" msgid "Blackbody (Planck)" msgstr "Corps noir (Planck)" msgid "Sine" msgstr "Sinus" msgid "Sawtooth" msgstr "Dent de scie" msgid "Triangle" msgstr "Triangle" msgid "Square" msgstr "Carré" msgid "Cardinal sine" msgstr "Sinus cardinal" msgid "Linear chirp" msgstr "Modulation linéaire de fréquence" msgid "Step" msgstr "Echelon" msgid "Logistic" msgstr "Logistique" msgid "Pulse" msgstr "Impulsion" msgid "Step pulse" msgstr "Impulsion échelon" msgid "Square pulse" msgstr "Impulsion carrée" msgid "Polynomial" msgstr "Polynomial" msgid "Custom" msgstr "Personnalisé" msgid "Untitled signal" msgstr "Signal sans titre" msgid "Npoints" msgstr "Npoints" msgid "Total number of points in the signal" msgstr "Nombre total de points dans le signal" msgid "Temperature" msgstr "Température" msgid "Initial phase" msgstr "Phase initiale" msgid "Chirp rate (f-2)" msgstr "Taux de modulation de fréquence" msgid "Vertical offset" msgstr "Décalage vertical" msgid "Initial frequency (Hz)" msgstr "Fréquence intiale (Hz)" msgid "Horizontal offset" msgstr "Décalage horizontal" msgid "Growth or decay rate" msgstr "Taux de croissance ou de décroissance" msgid "Start" msgstr "Démarrer" msgid "Offset" msgstr "Décalage" msgid "End" msgstr "Fin" msgid "Start time" msgstr "Instant de début" msgid "End time" msgstr "Instant de fin" msgid "Number of points" msgstr "Nombre de points" msgid "Initial value" msgstr "Valeur initiale" msgid "Noise amplitude" msgstr "Amplitude du bruit" msgid "Rise start time" msgstr "Instant de début de montée" msgid "Total rise time" msgstr "Temps de montée total" msgid "Step pulse with noise" msgstr "Impulsion échelon avec bruit" msgid "Square pulse with noise" msgstr "Impulsion carrée avec bruit" msgid "Full Width at Half Maximum" msgstr "Largeur à mi-hauteur" msgid "Total fall time" msgstr "Temps de descente total" msgid "Custom signal" msgstr "Signal personnalisé" msgid "Data and metadata" msgstr "Données et métadonnées" msgid "Signal title" msgstr "Titre du signal" msgid "First point coordinate" msgstr "Coordonnée du premier point" msgid "Last point coordinate" msgstr "Coordonnée du dernier point" msgid "Arithmetic" msgstr "Arithmétique" msgid "Operator" msgstr "Opérateur" msgid "Factor" msgstr "Facteur" msgid "Constant" msgstr "Constante" msgid "Operation" msgstr "Opération" msgid "Convert to `obj1` data type" msgstr "Convertir vers le type de données de `obj1`" msgid "Result" msgstr "Résultat" msgid "Gaussian filter" msgstr "Filtre gaussien" msgid "Standard deviation of the Gaussian filter" msgstr "Ecart-type du filtre gaussien" msgid "" "Mode of the filter:\n" "- 'reflect': Reflect the data at the boundary\n" "- 'constant': Pad with a constant value\n" "- 'nearest': Pad with the nearest value\n" "- 'mirror': Reflect the data at the boundary with the data itself\n" "- 'wrap': Circular boundary" msgstr "" "Mode du filtre :\n" "- 'reflect' : Réfléchir les données à la frontière\n" "- 'constant' : Remplir avec une valeur constante\n" "- 'nearest' : Remplir avec la valeur la plus proche\n" "- 'mirror' : Réfléchir les données à la frontière avec les données elles-mêmes\n" "- 'wrap' : Frontière circulaire" msgid "Moving average" msgstr "Moyenne mobile" msgid "Size of the moving window" msgstr "Taille de la fenêtre glissante" msgid "Mode" msgstr "Mode" msgid "Moving median" msgstr "Médiane mobile" msgid "Clip" msgstr "Ecrêtage" msgid "Lower clipping value" msgstr "Borne inférieure d'écrêtage" msgid "Upper clipping value" msgstr "Borne supérieure d'écrêtage" msgid "Normalize" msgstr "Normaliser" msgid "Normalize with respect to" msgstr "Normaliser par rapport à" msgid "Histogram" msgstr "Histogramme" msgid "Number of bins" msgstr "Nombre de classes" msgid "Lower limit" msgstr "Limite inférieure" msgid "Upper limit" msgstr "Limite supérieure" msgid "FFT" msgstr "FFT" msgid "Shift" msgstr "Décalage" msgid "Shift zero frequency to center" msgstr "Décaler la fréquence nulle au centre" msgid "Spectrum" msgstr "Spectre" msgid "Output in decibel (dB)" msgstr "Sortie en décibels (dB)" msgid "Constant value" msgstr "Constante" msgid "Angle unit" msgstr "Unité de l'angle" msgid "Unit of angle measurement" msgstr "Unité de mesure de l'angle" msgid "Unwrapping removes discontinuities in phase" msgstr "Déplier supprime les discontinuités de phase" msgid "Signals to image" msgstr "Signaux vers image" msgid "Orientation" msgstr "Orientation" msgid "Stack signals as rows or columns in the output image" msgstr "Empiler les signaux en tant que lignes ou colonnes dans une nouvelle image" msgid "Normalize each signal before combining" msgstr "Normaliser chaque signal avant de combiner" msgid "Normalization method" msgstr "Méthode de normalisation" msgid "Method used for normalization" msgstr "Méthode utilisée pour la normalisation" msgid "columns" msgstr "colonnes" msgid "rows" msgstr "lignes" msgid "Distribute over" msgstr "Distribuer selon les" msgid "Columns" msgstr "Colonnes" msgid "Rows" msgstr "Lignes" msgid "Column spacing" msgstr "Espace entre chaque colonne" msgid "Row spacing" msgstr "Espace entre chaque ligne" msgid "Regions of interest" msgstr "Régions d'intérêt" msgid "Create regions of interest" msgstr "Créer des régions d'intérêt" msgid "" "Regions of interest will be created around detected features, if at least two features are detected.\n" "ROI size is optimized based on feature spacing." msgstr "" "Des régions d'intérêt seront créées autour des caractéristiques détectées, si au moins deux caractéristiques sont détectées.\n" "La taille de la ROI est optimisée en fonction de l'espacement des caractéristiques." msgid "ROI geometry" msgstr "Géométrie de la ROI" msgid "Relative threshold" msgstr "Seuil relatif" msgid "Detection threshold, relative to difference between data maximum and minimum" msgstr "Seuil de détection, relatif à la différence entre le maximum et le minimum des données de l'image" msgid "Neighborhoods size" msgstr "Taille du voisinage" msgid "Size of the sliding window used in maximum/minimum filtering algorithm (if no value is provided, the algorithm will use a default size based on the image size). " msgstr "Taille de la fenêtre glissante utilisée dans l'algorithme de filtrage par maximum/minimum (si aucune valeur n'est fournie, l'algorithme utilisera une taille par défaut basée sur la taille de l'image)." msgid "Shape" msgstr "Forme" msgid "The minimum standard deviation for Gaussian Kernel. Keep this low to detect smaller blobs." msgstr "L'écart-type minimal pour le noyau gaussien. Cette valeur doit être faible pour détecter de petites taches." msgid "The maximum standard deviation for Gaussian Kernel. Keep this high to detect larger blobs." msgstr "L'écart-type maximal pour le noyau gaussien. Cette valeur doit être élevée pour détecter de grandes taches." msgid "Minimum intensity of blobs." msgstr "Intensité minimale des taches." msgid "Overlap" msgstr "Recouvrement" msgid "If two blobs overlap by a fraction greater than this value, the smaller blob is eliminated." msgstr "Si deux taches ont un taux de recouvrement supérieur à ce seuil, alors la plus petite tache est éliminée." msgid "Exclude border" msgstr "Exclure la bordure" msgid "If True, exclude blobs from the border of the image." msgstr "Si le réglage est actif, exclure les taches de la bordure de l'image." msgid "Log scale" msgstr "Echelle logarithmique" msgid "If set intermediate values of standard deviations are interpolated using a logarithmic scale to the base 10. If not, linear interpolation is used." msgstr "Les valeurs intermédiaires d'écart-type peuvent être interpolées selon une échelle linéaire ou logarithmique." msgid "Min. threshold" msgstr "Seuil min." msgid "The minimum threshold between local maxima and minima. This parameter does not affect the quality of the blobs, only the quantity. Lower thresholds result in larger numbers of blobs." msgstr "Le seuil minimum entre les maxima et minima locaux. Ce paramètre n'affecte pas la qualité des taches, mais seulement leur nombre. Un seuil bas donne un nombre plus important de taches." msgid "Max. threshold" msgstr "Seuil max." msgid "The maximum threshold between local maxima and minima. This parameter does not affect the quality of the blobs, only the quantity. Lower thresholds result in larger numbers of blobs." msgstr "Le seuil maximum entre les maxima et minima locaux. Ce paramètre n'affecte pas la qualité des taches, mais seulement leur nombre. Un seuil bas donne un nombre plus important de taches." msgid "Min. repeatability" msgstr "Répétabilité min." msgid "The minimum number of times a blob needs to be detected in a sequence of images to be considered valid." msgstr "Le nombre minimum de fois qu'une tache doit être détectée dans une séquence d'images pour être considérée valide." msgid "Min. distance between blobs" msgstr "Distance min. entre taches" msgid "The minimum distance between two blobs. If blobs are found closer together than this distance, the smaller blob is removed." msgstr "La distance minimale entre deux taches. Si deux taches sont détectées à une distance inférieure à celle-ci, alors la plus petite tache est éliminée." msgid "Filter by color" msgstr "Filtrer par couleur" msgid "If true, the image is filtered by color instead of intensity." msgstr "Si vrai, l'image est filtrée par couleur au lieu d'intensité." msgid "Blob color" msgstr "Couleur de la tache" msgid "The color of the blobs to detect (0 for dark blobs, 255 for light blobs)." msgstr "La couleur des taches à détecter (0 pour les taches foncées, 255 pour les taches claires)." msgid "Filter by area" msgstr "Filtrer par aire" msgid "If true, the image is filtered by blob area." msgstr "Si vrai, l'image est filtrée par l'aire des taches." msgid "Min. area" msgstr "Aire min." msgid "The minimum blob area." msgstr "L'aire minimale des taches." msgid "Max. area" msgstr "Aire max." msgid "The maximum blob area." msgstr "L'aire maximale des taches." msgid "Filter by circularity" msgstr "Filtrer par circularité" msgid "If true, the image is filtered by blob circularity." msgstr "Si vrai, l'image est filtrée par la circularité des taches." msgid "Min. circularity" msgstr "Circularité min." msgid "The minimum circularity of the blobs." msgstr "La circularité minimale des taches." msgid "Max. circularity" msgstr "Circularité max." msgid "The maximum circularity of the blobs." msgstr "La circularité maximale des taches." msgid "Filter by inertia" msgstr "Filtrer par inertie" msgid "If true, the image is filtered by blob inertia." msgstr "Si vrai, l'image est filtrée par l'inertie des taches." msgid "Min. inertia ratio" msgstr "Ratio d'inertie min." msgid "The minimum inertia ratio of the blobs." msgstr "Le ratio d'inertie minimal des taches." msgid "Max. inertia ratio" msgstr "Ratio d'inertie max." msgid "The maximum inertia ratio of the blobs." msgstr "Le ratio d'inertie maximal des taches." msgid "Filter by convexity" msgstr "Filtrer par convexité" msgid "If true, the image is filtered by blob convexity." msgstr "Si vrai, l'image est filtrée par la convexité des taches." msgid "Min. convexity" msgstr "Convexité min." msgid "The minimum convexity of the blobs." msgstr "La convexité minimale des taches." msgid "Max. convexity" msgstr "Convexité max." msgid "The maximum convexity of the blobs." msgstr "La convexité maximale des taches." msgid "Radiusmin" msgstr "Rayonmin" msgid "Radiusmax" msgstr "Rayonmax" msgid "Minimal distance" msgstr "Distance minimale" msgid "Standard deviation of the Gaussian filter." msgstr "Ecart-type du filtrage gaussien" msgid "Low threshold" msgstr "Seuil bas" msgid "Lower bound for hysteresis thresholding (linking edges)." msgstr "Borne inférieure pour le seuillage par hystérésis (liaison des contours)." msgid "High threshold" msgstr "Seuil haut" msgid "Upper bound for hysteresis thresholding (linking edges)." msgstr "Borne supérieure pour le seuillage par hystérésis (liaison des contours)." msgid "Use quantiles" msgstr "Utiliser les quantiles" msgid "If True then treat low_threshold and high_threshold as quantiles of the edge magnitude image, rather than absolute edge magnitude values. If True then the thresholds must be in the range [0, 1]." msgstr "Interprète les seuils bas et haut en tant que quantiles des niveaux des contours, au lieu de valeurs absolues des contours. Si le réglage est actif, alors les seuils doivent être compris entre 0 et 1." msgid "Value to fill past edges of input if mode is constant." msgstr "Valeur de remplissage si le mode est constant." msgid "Gamma" msgstr "Gamma" msgid "Gamma correction factor (higher values give more contrast)." msgstr "Facteur de correction gamma (plus la valeur est élevée, plus le contraste est important)." msgid "Gain" msgstr "Gain" msgid "Gain factor (higher values give more contrast)." msgstr "Facteur de gain (plus la valeur est élevée, plus le contraste est important)." msgid "Inverse" msgstr "Inverse" msgid "If True, apply inverse logarithmic transformation." msgstr "Si vrai, appliquer une transformation logarithmique inverse." msgid "Cutoff" msgstr "Cutoff" msgid "Cutoff value (higher values give more contrast)." msgstr "Valeur de coupure (plus la valeur est élevée, plus le contraste est important)." msgid "If True, apply inverse sigmoid transformation." msgstr "Si vrai, appliquer une transformation sigmoïde inverse." msgid "Input range" msgstr "Echelle de niveaux en entrée" msgid "Min and max intensity values of input image ('image' refers to input image min/max levels, 'dtype' refers to input image data type range)." msgstr "Valeurs min/max d'intensité de l'image en entrée ('image' correspond aux niveaux min/max de l'image en entrée, 'dtype' correspond aux valeurs min/max du type de données de l'image)." msgid "Output range" msgstr "Echelle de niveaux en sortie" msgid "Min and max intensity values of output image ('image' refers to input image min/max levels, 'dtype' refers to input image data type range).." msgstr "Valeurs min/max d'intensité de l'image en sortie ('image' correspond aux niveaux min/max de l'image en entrée, 'dtype' correspond aux valeurs min/max du type de données de l'image)." msgid "Number of bins for image histogram." msgstr "Nombre de classes de l'histogramme des niveaux de l'image." msgid "Clipping limit" msgstr "Écrêtage limite" msgid "Clipping limit (higher values give more contrast)." msgstr "Valeur d'écrêtage (plus la valeur est élevée, plus le contraste est important)." msgid "Threshold" msgstr "Seuil" msgid "Counts" msgstr "Coups" msgid "increasing" msgstr "croissant" msgid "decreasing" msgstr "décroissant" msgid "X translation" msgstr "Translation en X" msgid "Y translation" msgstr "Translation en Y" msgid "Horizontal spacing between ROI centers, as a percentage of the automatically computed cell width (100% = evenly distributed grid)" msgstr "Espacement horizontal entre les centres des ROI, en pourcentage de la largeur de cellule automatiquement calculée (100% = grille uniformément distribuée)" msgid "Vertical spacing between ROI centers, as a percentage of the automatically computed cell height (100% = evenly distributed grid)" msgstr "Espacement vertical entre les centres des ROI, en pourcentage de la hauteur de cellule automatiquement calculée (100% = grille uniformément distribuée)" msgid "ROI titles" msgstr "Titres des ROI" msgid "Base name" msgstr "Nom de base" msgid "Name pattern" msgstr "Modèle de nom" msgid "X direction" msgstr "Direction X" msgid "Y direction" msgstr "Direction Y" msgid "horizontal" msgstr "horizontal" msgid "vertical" msgstr "vertical" msgid "Direction" msgstr "Direction" msgid "Row" msgstr "Ligne" msgid "Column" msgstr "Colonne" msgid "Start row" msgstr "Ligne (début)" msgid "Start column" msgstr "Colonne (début)" msgid "End row" msgstr "Ligne (fin)" msgid "End column" msgstr "Colonne (fin)" msgid "Profile rectangular area" msgstr "Zone rectangulaire du profil" msgid "Row 1" msgstr "Ligne 1" msgid "Row 2" msgstr "Ligne 2" msgid "Column 1" msgstr "Colonne 1" msgid "Column 2" msgstr "Colonne 2" msgid "Center position" msgstr "Position du centre" msgid "Image centroid" msgstr "Barycentre de l'image" msgid "Image center" msgstr "Centre de l'image" msgid "User-defined" msgstr "Défini par l'utilisateur" msgid "Center" msgstr "Centre" msgid "Cut-off frequency ratio" msgstr "Fréquence de coupure relative" msgid "High-pass filter" msgstr "Filtre passe-haut" msgid "If True, apply high-pass filter instead of low-pass" msgstr "Si vrai, appliquer un filtre passe-haut au lieu d'un filtre passe-bas" msgid "Order" msgstr "Ordre" msgid "Order of the Butterworth filter" msgstr "Ordre du filtre de Butterworth" msgid "Center frequency" msgstr "Fréquence centrale" msgid "Center frequency of the Gaussian filter" msgstr "Fréquence centrale du filtre gaussien" msgid "Inverse FFT result" msgstr "Résultat de la FFT inverse" msgid "Real part" msgstr "Partie réelle" msgid "Absolute value" msgstr "Valeur absolue" msgid "How to return the inverse FFT result" msgstr "Comment retourner le résultat de la FFT inverse" msgid "Frequency" msgstr "Fréquence" msgid "cval" msgstr "cval" msgid "Value used for points outside the boundaries of the input if mode is 'constant'" msgstr "Valeur utilisée pour les points situés en dehors des frontières de l'image d'origine (si le mode est 'constant')" msgid "Reshape the output array" msgstr "Redimensionner l'image de destination" msgid "Reshape the output array so that the input array is contained completely in the output" msgstr "Redimensionner l'image de destination de sorte qu'elle puisse contenir la totalité de l'image source" msgid "Prefilter the input image" msgstr "Prétraitement de l'image d'origine (spline)" msgid "Spline interpolation order" msgstr "Ordre de l'interpolation de type spline" msgid "Zoom" msgstr "Zoom" msgid "Minimum X-coordinate of the output image" msgstr "Coordonnée X minimale de l'image de sortie" msgid "Maximum X-coordinate of the output image" msgstr "Coordonnée X maximale de l'image de sortie" msgid "Minimum Y-coordinate of the output image" msgstr "Coordonnée Y minimale de l'image de sortie" msgid "Maximum Y-coordinate of the output image" msgstr "Coordonnée Y maximale de l'image de sortie" msgid "Pixel size" msgstr "Taille de pixel" msgid "Output shape" msgstr "Taille de l'image de sortie" msgid "Pixel size in X direction" msgstr "Taille du pixel selon X" msgid "Pixel size in Y direction" msgstr "Taille du pixel selon Y" msgid "Output image width in pixels" msgstr "Largeur de l'image de sortie en pixels" msgid "Output image height in pixels" msgstr "Hauteur de l'image de sortie en pixels." msgid "Interpolation method" msgstr "Méthode d'interpolation" msgid "Fill value" msgstr "Valeur de remplissage" msgid "Value to use for points outside the input image domain. If None, uses NaN for extrapolation." msgstr "Valeur à utiliser pour les points en dehors du domaine de l'image d'origine. Si aucune valeur n'est fournie, alors NaN est utilisé pour l'extrapolation." msgid "Origin X-axis coordinate" msgstr "Abscisse de l'origine" msgid "Origin Y-axis coordinate" msgstr "Ordonnée de l'origine" msgid "Pixel size along X-axis" msgstr "Taille du pixel selon X" msgid "Pixel size along Y-axis" msgstr "Taille du pixel selon Y" msgid "Calibrate" msgstr "Étalonner" msgid "Constant term" msgstr "Terme constant" msgid "Linear term" msgstr "Terme linéaire" msgid "Quadratic term" msgstr "Terme quadratique" msgid "Cubic term" msgstr "Terme cubique" msgid "Destination data type" msgstr "Type de données de destination" msgid "Output image data type." msgstr "Type de données de l'image générée." msgid "Image statistics" msgstr "Statistiques de l'image" msgid "Footprint (disk) radius." msgstr "Rayon de l'ouverture circulaire (disque)." msgid "Cluster size (X)" msgstr "Nombre de pixels (X)" msgid "Number of adjacent pixels to be combined together along X-axis." msgstr "Nombre de pixels adjacents à regrouper le long de l'axe des X." msgid "Cluster size (Y)" msgstr "Nombre de pixels (Y)" msgid "Number of adjacent pixels to be combined together along Y-axis." msgstr "Nombre de pixels adjacents à regrouper le long de l'axe des Y." msgid "Data type" msgstr "Type de données" msgid "Change pixel size" msgstr "Modifier la taille des pixels" msgid "If checked, pixel size is updated according to binning factors. Users who prefer to work with pixel coordinates may want to uncheck this." msgstr "Si coché, la taille des pixels est mise à jour en fonction de la taille des agrégats. Les utilisateurs qui préfèrent travailler avec les coordonnées de pixels peuvent vouloir décocher cette option." msgid "Padding strategy" msgstr "Stratégie de complément de zéros" msgid "Rows to add" msgstr "Lignes à ajouter" msgid "Columns to add" msgstr "Colonnes à ajouter" msgid "Padding position" msgstr "Position du complément de zéros" msgid "Denoising weight" msgstr "Poids de débruitage" msgid "The greater weight, the more denoising (at the expense of fidelity to input)." msgstr "Plus le poids est élevé, plus le débruitage est fort (aux dépens de la fidélité des données)." msgid "Relative difference of the value of the cost function that determines the stop criterion. The algorithm stops when: (E_(n-1) - E_n) < eps * E_0" msgstr "Différence relative de la valeur de la fonction de coût qui détermine le critère d'arrêt de l'algorithme. Ce dernier s'arrête lorsque : (E_(n-1) - E_n) < eps * E_0" msgid "Max. iterations" msgstr "Nb. max. d'itérations" msgid "Maximal number of iterations used for the optimization" msgstr "Nombre maximal d'itérations utilisé pour l'optimisation" msgid "Standard deviation for range distance. A larger value results in averaging of pixels with larger spatial differences." msgstr "Ecart-type dans le domaine spatial. Une valeur élevée a pour effet de moyenner des pixels séparés par de grandes distances." msgid "Used in conjunction with mode 'constant', the value outside the image boundaries." msgstr "Valeur de remplissage en dehors des bornes de l'image (en mode constant)." msgid "Wavelet" msgstr "Ondelette" msgid "Method" msgstr "Méthode" msgid "Manual" msgstr "Manuel" msgid "Mean" msgstr "Moyenne" msgid "Minimum" msgstr "Minimum" msgid "Threshold method" msgstr "Méthode de seuillage" msgid "Threshold value" msgstr "Valeur de seuil" msgid "Greater than" msgstr "Supérieur à" msgid "Less than" msgstr "Inférieur à" msgid "Pulse features" msgstr "Caractéristiques" msgid "Signal shape" msgstr "Forme du signal" msgid "Auto" msgstr "Auto" msgid "Signal type: auto-detect, step, or square." msgstr "Type de signal : auto-détection, échelon ou carré." msgid "Start baseline min" msgstr "X min. de la ligne de base de départ" msgid "Lower X boundary for the start baseline" msgstr "Borne X inférieure pour la ligne de base de départ" msgid "Start baseline max" msgstr "X max. de la ligne de base de départ" msgid "Upper X boundary for the start baseline" msgstr "Borne X supérieure pour la ligne de base de départ" msgid "End baseline min" msgstr "X min. de la ligne de base de fin" msgid "Lower X boundary for the end baseline" msgstr "Borne X inférieure pour la ligne de base de fin" msgid "End baseline max" msgstr "X max. de la ligne de base de fin" msgid "Upper X boundary for the end baseline" msgstr "Borne X supérieure pour la ligne de base de fin" msgid "Rise/Fall time" msgstr "Temps de montée/descente" msgid "5% - 95% (High precision)" msgstr "5% - 95% (haute précision)" msgid "10% - 90% (IEEE standard)" msgstr "10% - 90% (norme IEEE)" msgid "20% - 80% (Noisy signals)" msgstr "20% - 80% (signaux bruités)" msgid "25% - 75% (Alternative)" msgstr "25% - 75% (alternative)" #, python-format msgid "Reference levels for rise/fall time measurement. 10%-90% is the IEEE standard for digital signal analysis." msgstr "Niveaux de référence pour la mesure du temps de montée/descente. 10%-90% est la norme IEEE pour l'analyse des signaux numériques." msgid "Sampling rate and period" msgstr "Taux d'échantillonnage et période" msgid "Contrast" msgstr "Contraste" msgid "X at min/max" msgstr "X à min/max" msgid "Peak detection" msgstr "Détection de pics" msgid "Minimum distance" msgstr "Distance minimale" msgid "FWHM" msgstr "FWHM" msgid "Methods and trade-offs:

• Zero-crossing: Fast, sensitive to noise
• Gaussian fit: Good for symmetric peaks, assumes Gaussian shape
• Lorentzian fit: Suitable for peaks with long tails, dominated by collisional or lifetime broadening
• Voigt fit: Most accurate for spectroscopic data, or laser lines broadened by both Doppler and collisional effects
" msgstr "Méthodes et compromis :

• Passage par zéro : Rapide, sensible au bruit
• Ajustement gaussien : Bon pour les pics symétriques, suppose une forme gaussienne
• Ajustement lorentzien : Adapté aux pics avec de longues queues, dominés par un élargissement collisionnel ou de durée de vie
• Ajustement Voigt : Le plus précis pour les données spectroscopiques, ou les raies laser élargies à la fois par des effets Doppler et collisionnels
" msgid "Zero-crossing" msgstr "Passage par zéro" msgid "Gaussian fit" msgstr "Ajustement gaussien" msgid "Lorentzian fit" msgstr "Ajustement lorentzien" msgid "Voigt fit" msgstr "Ajustement Voigt" msgid "Lower X boundary (empty for no limit, i.e. start of the signal)" msgstr "Borne X inférieure (vide pour aucune limite, c'est-à-dire le début du signal)" msgid "Upper X boundary (empty for no limit, i.e. end of the signal)" msgstr "Borne X supérieure (vide pour aucune limite, c'est-à-dire la fin du signal)" msgid "Signal statistics" msgstr "Statistiques du signal" msgid "Dynamic parameters" msgstr "Paramètres dynamiques" msgid "Full scale" msgstr "Pleine échelle" msgid "Unit for SINAD" msgstr "Unité pour SINAD" msgid "Number of harmonics" msgstr "Nombre d'harmoniques" msgid "Number of harmonics to consider for THD" msgstr "Nombre d'harmoniques à considérer pour le THD" msgid "Filter" msgstr "Filtre" msgid "Filter method" msgstr "Méthode de filtrage" msgid "Filter order" msgstr "Ordre du filtre" msgid "Low cutoff frequency" msgstr "Fréquence de coupure basse" msgid "High cutoff frequency" msgstr "Fréquence de coupure haute" msgid "Passband ripple" msgstr "Ondulation de la bande passante" msgid "Stopband attenuation" msgstr "Atténuation de la bande d'arrêt" msgid "Zero padding" msgstr "Complément de zéros" msgid "Minimum FFT points number" msgstr "Nombre minimum de points FFT" msgid "Cutoff frequency" msgstr "Fréquence de coupure" msgid "Polynomial fit" msgstr "Ajustement polynomial" msgid "Degree" msgstr "Degré" msgid "Strategy" msgstr "Stratégie" msgid "Location" msgstr "Emplacement" msgid "Where to add the padding" msgstr "Où ajouter le complément de zéros" msgid "Number of points to add" msgstr "Nombre de points à ajouter" msgid "Convert data type" msgstr "Convertir le type de données" msgid "Power" msgstr "Puissance" msgid "Angle" msgstr "Angle" msgid "x" msgstr "x" msgid "y" msgstr "y" msgid "Interpolation" msgstr "Interpolation" msgid "Value to use for points outside the interpolation domain (used only with linear, cubic and pchip methods)." msgstr "Valeur à utiliser pour les points en dehors du domaine d'interpolation (utilisé uniquement avec les méthodes linéaire, cubique et pchip)." msgid "Xmin" msgstr "Xmin" msgid "Xmax" msgstr "Xmax" msgid "Calibration" msgstr "Étalonnage" msgid "Detrending" msgstr "Élimination de tendance" msgid "Detrending method" msgstr "Méthode d'élimination de tendance" msgid "Windowing" msgstr "Fenêtrage" msgid "Shape parameter of the Tukey windowing function" msgstr "Paramètre de forme de la fonction de fenêtrage de Tukey" msgid "Shape parameter of the Kaiser windowing function" msgstr "Paramètre de forme de la fonction de fenêtrage de Kaiser" msgid "Shape parameter of the Gaussian windowing function" msgstr "Paramètre de forme de la fonction de fenêtrage gaussienne" msgid "Allan variance" msgstr "Variance d'Allan" msgid "Image with peaks" msgstr "Image avec pics" msgid "Size" msgstr "Taille" msgid "Number of peaks to generate" msgstr "Nombre de pics à générer" msgid "Sigma of the 2D Gaussian" msgstr "Sigma de la gaussienne 2D" msgid "Amplitude of the 2D Gaussian" msgstr "Amplitude de la gaussienne 2D" msgid "Mean of the Gaussian distribution" msgstr "Moyenne de la distribution gaussienne" msgid "Standard deviation of the Gaussian distribution" msgstr "Ecart-type de la distribution gaussienne" msgid "Attenuation" msgstr "Atténuation" msgid "Ring image" msgstr "Image en anneau" msgid "Intensity" msgstr "Intensité" msgid "Xcenter" msgstr "Xcentre" msgid "Ycenter" msgstr "Ycentre" msgid "Thickness" msgstr "Epaisseur" msgid "Grid of Gaussian images" msgstr "Grille d'images gaussiennes" msgid "Number of rows" msgstr "Nombre de lignes" msgid "Number of columns" msgstr "Nombre de colonnes" msgid "Centroid" msgstr "Barycentre" Sigima-1.1.1/sigima/objects/000077500000000000000000000000001514013333200156205ustar00rootroot00000000000000Sigima-1.1.1/sigima/objects/__init__.py000066400000000000000000000170611514013333200177360ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """ Model classes for signals and images (:mod:`sigima.objects`) ------------------------------------------------------------ The :mod:`sigima.objects` module aims at providing all the necessary classes and functions to create and manipulate Sigima scalar, signal and image objects. Those classes and functions are defined in submodules: - :mod:`sigima.objects.base` - :mod:`sigima.objects.scalar` - :mod:`sigima.objects.image` - :mod:`sigima.objects.signal` .. code-block:: python # Full import statement from sigima.objects.scalar import GeometryResult, TableResult from sigima.objects.signal import SignalObj from sigima.objects.image import ImageObj # Short import statement from sigima.objects import SignalObj, ImageObj, GeometryResult, TableResult In Sigima, computation functions take signal or image objects as input and produce signal, image or scalar objects as output. Scalar objects are represented by the `GeometryResult` and `TableResult` classes. .. note:: The scalar results are not rigorously scalar as they can also represent vector of coordinates for example, but the name 'scalar' is retained for simplicity and by opposition to the more general 'signal' and 'image' terms). Scalar results ^^^^^^^^^^^^^^ .. autoclass:: sigima.objects.GeometryResult .. autoclass:: sigima.objects.TableResult Common features of signals and images ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ .. autoclass:: sigima.objects.TypeObj .. autoclass:: sigima.objects.TypeROI .. autoclass:: sigima.objects.TypeROIParam .. autoclass:: sigima.objects.TypeSingleROI .. autodataset:: sigima.objects.NormalDistributionParam .. autodataset:: sigima.objects.PoissonDistributionParam .. autodataset:: sigima.objects.UniformDistributionParam Signals ^^^^^^^ .. autodataset:: sigima.objects.SignalObj :members: :inherited-members: .. autofunction:: sigima.objects.create_signal_roi .. autofunction:: sigima.objects.create_signal .. autofunction:: sigima.objects.create_signal_parameters .. autofunction:: sigima.objects.create_signal_from_param .. autoclass:: sigima.objects.SignalTypes .. autoclass:: sigima.objects.NewSignalParam .. autodataset:: sigima.objects.ZeroParam .. autodataset:: sigima.objects.UniformDistribution1DParam .. autodataset:: sigima.objects.NormalDistribution1DParam .. autodataset:: sigima.objects.PoissonDistribution1DParam .. autodataset:: sigima.objects.GaussParam .. autodataset:: sigima.objects.LorentzParam .. autodataset:: sigima.objects.VoigtParam .. autodataset:: sigima.objects.SineParam .. autodataset:: sigima.objects.CosineParam .. autodataset:: sigima.objects.SawtoothParam .. autodataset:: sigima.objects.TriangleParam .. autodataset:: sigima.objects.SquareParam .. autodataset:: sigima.objects.SincParam .. autodataset:: sigima.objects.StepParam .. autodataset:: sigima.objects.ExponentialParam .. autodataset:: sigima.objects.PulseParam .. autodataset:: sigima.objects.PolyParam .. autodataset:: sigima.objects.CustomSignalParam .. autodataset:: sigima.objects.ROI1DParam .. autoclass:: sigima.objects.SignalROI Images ^^^^^^ .. autodataset:: sigima.objects.ImageObj :members: :inherited-members: .. autofunction:: sigima.objects.create_image_roi .. autofunction:: sigima.objects.create_image .. autofunction:: sigima.objects.create_image_parameters .. autofunction:: sigima.objects.create_image_from_param .. autoclass:: sigima.objects.ImageTypes .. autoclass:: sigima.objects.NewImageParam .. autodataset:: sigima.objects.Zero2DParam .. autodataset:: sigima.objects.UniformDistribution2DParam .. autodataset:: sigima.objects.NormalDistribution2DParam .. autodataset:: sigima.objects.PoissonDistribution2DParam .. autodataset:: sigima.objects.Gauss2DParam .. autodataset:: sigima.objects.Ramp2DParam .. autodataset:: sigima.objects.Checkerboard2DParam .. autodataset:: sigima.objects.SinusoidalGrating2DParam .. autodataset:: sigima.objects.Ring2DParam .. autodataset:: sigima.objects.SiemensStar2DParam .. autodataset:: sigima.objects.Sinc2DParam .. autodataset:: sigima.objects.ROI2DParam .. autoclass:: sigima.objects.ImageROI .. autoclass:: sigima.objects.ImageDatatypes """ __all__ = [ "NO_ROI", "Checkerboard2DParam", "CircularROI", "CosineParam", "CustomSignalParam", "ExponentialParam", "Gauss2DParam", "GaussParam", "GeometryResult", "ImageDatatypes", "ImageObj", "ImageROI", "ImageTypes", "KindShape", "LinearChirpParam", "LogisticParam", "LorentzParam", "NewImageParam", "NewSignalParam", "NormalDistribution1DParam", "NormalDistribution2DParam", "NormalDistributionParam", "PlanckParam", "PoissonDistribution1DParam", "PoissonDistribution2DParam", "PoissonDistributionParam", "PolyParam", "PolygonalROI", "PulseParam", "ROI1DParam", "ROI2DParam", "Ramp2DParam", "RectangularROI", "Ring2DParam", "SawtoothParam", "SegmentROI", "SiemensStar2DParam", "SignalObj", "SignalROI", "SignalTypes", "Sinc2DParam", "SincParam", "SineParam", "SinusoidalGrating2DParam", "SquareParam", "SquarePulseParam", "StepParam", "StepPulseParam", "TableKind", "TableResult", "TableResultBuilder", "TriangleParam", "TypeObj", "TypeROI", "TypeROIParam", "TypeSingleROI", "UniformDistribution1DParam", "UniformDistribution2DParam", "UniformDistributionParam", "VoigtParam", "Zero2DParam", "ZeroParam", "calc_table_from_data", "concat_geometries", "concat_tables", "create_image", "create_image_from_param", "create_image_parameters", "create_image_roi", "create_image_roi_around_points", "create_signal", "create_signal_from_param", "create_signal_parameters", "create_signal_roi", "filter_geometry_by_roi", "filter_table_by_roi", ] from sigima.objects.base import ( NormalDistributionParam, PoissonDistributionParam, TypeObj, TypeROI, TypeROIParam, TypeSingleROI, UniformDistributionParam, ) from sigima.objects.image import ( Checkerboard2DParam, CircularROI, Gauss2DParam, ImageDatatypes, ImageObj, ImageROI, ImageTypes, NewImageParam, NormalDistribution2DParam, PoissonDistribution2DParam, PolygonalROI, Ramp2DParam, RectangularROI, Ring2DParam, ROI2DParam, SiemensStar2DParam, Sinc2DParam, SinusoidalGrating2DParam, UniformDistribution2DParam, Zero2DParam, create_image, create_image_from_param, create_image_parameters, create_image_roi, create_image_roi_around_points, ) from sigima.objects.scalar import ( NO_ROI, GeometryResult, KindShape, TableKind, TableResult, TableResultBuilder, calc_table_from_data, concat_geometries, concat_tables, filter_geometry_by_roi, filter_table_by_roi, ) from sigima.objects.signal import ( CosineParam, CustomSignalParam, ExponentialParam, GaussParam, LinearChirpParam, LogisticParam, LorentzParam, NewSignalParam, NormalDistribution1DParam, PlanckParam, PoissonDistribution1DParam, PolyParam, PulseParam, ROI1DParam, SawtoothParam, SegmentROI, SignalObj, SignalROI, SignalTypes, SincParam, SineParam, SquareParam, SquarePulseParam, StepParam, StepPulseParam, TriangleParam, UniformDistribution1DParam, VoigtParam, ZeroParam, create_signal, create_signal_from_param, create_signal_parameters, create_signal_roi, ) Sigima-1.1.1/sigima/objects/base.py000066400000000000000000001106321514013333200171070ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """ Base model classes for signals and images. """ # pylint: disable=invalid-name # Allows short reference names like x, y, ... from __future__ import annotations import abc import json import re import sys from collections.abc import Generator from copy import deepcopy from typing import Any, Generic, Iterator, Type, TypeVar import guidata.dataset as gds import numpy as np from numpy import ma from sigima.config import _ if sys.version_info >= (3, 11): # Use Self from typing module in Python 3.11+ from typing import Self else: # Use Self from typing_extensions module in Python < 3.11 from typing_extensions import Self # CSS styling for HTML tables in Jupyter notebooks HTML_TABLE_CSS = """ """ ROI_KEY = "_roi_" def deepcopy_metadata( metadata: dict[str, Any], special_keys: set[str] | None = None, all_metadata: bool = False, ) -> dict[str, Any]: """Deepcopy metadata, except keys starting with "_" (private keys) with the exception of "_roi_" and "_ann_" keys. Args: metadata: Metadata dictionary to deepcopy. special_keys: Set of keys that should not be removed even if they start with "_". all_metadata: if True, copy all metadata, including private keys Returns: A new dictionary with deepcopied metadata, excluding private keys except those in `special_keys`. """ if special_keys is None: special_keys = set([ROI_KEY]) mdcopy = {} for key, value in metadata.items(): if not key.startswith("_") or key in special_keys or all_metadata: mdcopy[key] = deepcopy(value) return mdcopy class BaseProcParam(gds.DataSet): """Base class for processing parameters.""" def apply_integer_range(self, vmin, vmax): # pylint: disable=unused-argument """Do something in case of integer min-max range.""" def apply_float_range(self, vmin, vmax): # pylint: disable=unused-argument """Do something in case of float min-max range.""" def set_from_datatype(self, dtype): """Set min/max range from NumPy datatype.""" if np.issubdtype(dtype, np.integer): info = np.iinfo(dtype) self.apply_integer_range(info.min, info.max) else: info = np.finfo(dtype) self.apply_float_range(info.min, info.max) class BaseRandomParam(BaseProcParam): """Random signal/image parameters.""" seed = gds.IntItem(_("Seed"), default=1) class UniformDistributionParam(BaseRandomParam): """Uniform-distribution signal/image parameters.""" def apply_integer_range(self, vmin, vmax): """Do something in case of integer min-max range.""" self.vmin, self.vmax = float(vmin), float(vmax) vmin = gds.FloatItem( "Vmin", default=-0.5, help=_("Uniform distribution lower bound") ) vmax = gds.FloatItem( "Vmax", default=0.5, help=_("Uniform distribution higher bound") ).set_pos(col=1) def generate_title(self) -> str: """Generate a title based on current parameters.""" return f"UniformRandom(vmin={self.vmin:g},vmax={self.vmax:g},seed={self.seed})" class NormalDistributionParam(BaseRandomParam): """Normal-distribution signal/image parameters.""" DEFAULT_RELATIVE_MU = 0.1 DEFAULT_RELATIVE_SIGMA = 0.02 def apply_integer_range(self, vmin, vmax): """Do something in case of integer min-max range.""" delta = vmax - vmin self.mu = float(vmin + self.DEFAULT_RELATIVE_MU * delta) self.sigma = float(self.DEFAULT_RELATIVE_SIGMA * delta) mu = gds.FloatItem( "μ", default=DEFAULT_RELATIVE_MU, help=_("Normal distribution mean") ) sigma = gds.FloatItem( "σ", default=DEFAULT_RELATIVE_SIGMA, min=0.0, help=_("Normal distribution standard deviation"), ).set_pos(col=1) def generate_title(self) -> str: """Generate a title based on current parameters.""" return f"NormalRandom(μ={self.mu:g},σ={self.sigma:g},seed={self.seed})" class PoissonDistributionParam(BaseRandomParam): """Base Poisson-distribution signal/image parameters.""" DEFAULT_RELATIVE_LAMBDA = 0.1 def apply_integer_range(self, vmin, vmax): """Adjust default λ based on integer min-max range.""" positive_span = max(0.0, float(vmax) - max(0.0, float(vmin))) self.lam = float(max(self.DEFAULT_RELATIVE_LAMBDA * positive_span, 1.0)) lam = gds.FloatItem( "λ", default=DEFAULT_RELATIVE_LAMBDA, min=0.0, help=_("Poisson distribution mean"), ) def generate_title(self) -> str: """Generate a title based on current parameters.""" return f"PoissonRandom(λ={self.lam:g},seed={self.seed})" TypeObj = TypeVar("TypeObj", bound="BaseObj") TypeROIParam = TypeVar("TypeROIParam", bound="BaseROIParam") TypeSingleROI = TypeVar("TypeSingleROI", bound="BaseSingleROI") TypeROI = TypeVar("TypeROI", bound="BaseROI") class BaseObjMeta(abc.ABCMeta, gds.DataSetMeta): """Mixed metaclass to avoid conflicts""" class NoDefaultOption: """Marker class for metadata option without default value""" class BaseObj(Generic[TypeROI], metaclass=BaseObjMeta): """Object (signal/image) interface""" #: Class attribute that defines a string prefix used to uniquely identify instances #: of this class in metadata serialization. Each subclass should override this with #: a unique identifier (e.g., "s" for signals, "i" for images). #: This prefix is used as part of the key for storing and retrieving object-specific #: metadata, supporting type-based serialization and deserialization. PREFIX = "" # This is overriden in children classes # This is overriden in children classes with a gds.DictItem instance: metadata: dict[str, Any] = {} annotations: str = "" #: Class attribute that defines a tuple of valid NumPy data types supported by this #: class. This is used to validate the data type of the object when it is set or #: modified and to ensure that the object can handle the data correctly. #: Subclasses should override this with a specific set of valid data types. VALID_DTYPES = (np.float64,) # To be overriden in children classes def __init__(self): self.__roi_changed: bool | None = None self._maskdata_cache: np.ndarray | None = None self.__metadata_options_defaults: dict[str, Any] = {} self.__roi_cache: TypeROI | None = None @staticmethod @abc.abstractmethod def get_roi_class() -> Type[TypeROI]: """Return ROI class""" @property @abc.abstractmethod def data(self) -> np.ndarray | None: """Data""" @classmethod def get_valid_dtypenames(cls) -> list[str]: """Get valid data type names Returns: Valid data type names supported by this class """ return [ dtname for dtname in np.sctypeDict if isinstance(dtname, str) and dtname in (dtype.__name__ for dtype in cls.VALID_DTYPES) ] def check_data(self): """Check if data is valid, raise an exception if that's not the case Raises: TypeError: if data type is not supported """ if self.data is not None: if self.data.dtype not in self.VALID_DTYPES: raise TypeError(f"Unsupported data type: {self.data.dtype}") def iterate_roi_indices(self) -> Generator[int | None, None, None]: """Iterate over object ROI indices (if there is no ROI, yield None)""" if self.roi is None: yield None else: yield from range(len(self.roi)) @abc.abstractmethod def get_data(self, roi_index: int | None = None) -> np.ndarray: """ Return original data (if ROI is not defined or `roi_index` is None), or ROI data (if both ROI and `roi_index` are defined). Args: roi_index: ROI index Returns: Data """ @abc.abstractmethod def copy( self, title: str | None = None, dtype: np.dtype | None = None, all_metadata: bool = False, ) -> Self: """Copy object. Args: title: title dtype: data type all_metadata: if True, copy all metadata, otherwise only basic metadata Returns: Copied object """ @abc.abstractmethod def set_data_type(self, dtype): """Change data type. Args: dtype: data type """ @abc.abstractmethod def physical_to_indices(self, coords: list[float]) -> list[int]: """Convert coordinates from physical (real world) to indices Args: coords: coordinates Returns: Indices """ @abc.abstractmethod def indices_to_physical(self, indices: list[int]) -> list[float]: """Convert coordinates from indices to physical (real world) Args: indices: indices Returns: Coordinates """ def __roi_has_changed(self) -> bool: """Return True if ROI has changed since last call to this method. The first call to this method will return True if ROI has not yet been set, or if ROI has been set and has changed since the last call to this method. The next call to this method will always return False if ROI has not changed in the meantime. Returns: True if ROI has changed """ if self.__roi_changed is None: self.__roi_changed = True returned_value = self.__roi_changed self.__roi_changed = False return returned_value @property def roi(self) -> TypeROI | None: """Return object regions of interest object. Returns: Regions of interest object """ # If we have a cached ROI, return it if self.__roi_cache is not None: return self.__roi_cache # Otherwise, try to load from metadata roidata = self.metadata.get(ROI_KEY) if roidata is None: return None if not isinstance(roidata, dict): # Old or unsupported format: remove it self.metadata.pop(ROI_KEY) return None # Create ROI from metadata and cache it self.__roi_cache = self.get_roi_class().from_dict(roidata) return self.__roi_cache @roi.setter def roi(self, roi: TypeROI | None) -> None: """Set object regions of interest. Args: roi: regions of interest object """ # Cache the ROI object self.__roi_cache = roi # Update metadata if roi is None: if ROI_KEY in self.metadata: self.metadata.pop(ROI_KEY) else: self.metadata[ROI_KEY] = roi.to_dict() self.__roi_changed = True @property def maskdata(self) -> np.ndarray | None: """Return masked data (areas outside defined regions of interest) Returns: Masked data """ roi_changed = self.__roi_has_changed() if self.roi is None: if roi_changed: self._maskdata_cache = None elif roi_changed or self._maskdata_cache is None: self._maskdata_cache = self.roi.to_mask(self) return self._maskdata_cache def get_masked_view(self) -> ma.MaskedArray: """Return masked view for data Returns: Masked view """ assert isinstance(self.data, np.ndarray) view = self.data.view(ma.MaskedArray) if self.maskdata is None: view.mask = np.isnan(self.data) else: view.mask = self.maskdata | np.isnan(self.data) return view def invalidate_maskdata_cache(self) -> None: """Invalidate mask data cache: force to rebuild it""" self._maskdata_cache = None def invalidate_roi_cache(self) -> None: """Invalidate ROI cache: force to reload it from metadata""" self.__roi_cache = None # Also invalidate mask data cache since ROI data might have changed self.invalidate_maskdata_cache() def sync_roi_to_metadata(self) -> None: """Synchronize the current ROI cache to metadata. This should be called after modifying the ROI object directly to ensure the changes are persisted in metadata. """ if self.__roi_cache is not None: self.metadata[ROI_KEY] = self.__roi_cache.to_dict() self.__roi_changed = True # Also invalidate mask data cache since ROI has changed self.invalidate_maskdata_cache() def mark_roi_as_changed(self) -> None: """Mark the ROI as changed and invalidate dependent caches. This should be called after modifying the ROI object directly to ensure all dependent data (like mask cache) is properly invalidated. """ self.__roi_changed = True self.invalidate_maskdata_cache() # Optionally sync to metadata immediately self.sync_roi_to_metadata() def update_metadata_from(self, other_metadata: dict[str, Any]) -> None: """Update metadata from another object's metadata (merge result shapes and annotations, and update the rest of the metadata). Args: other_metadata: other object metadata """ self.metadata.update(other_metadata) # Invalidate ROI cache since metadata might have changed ROI data self.invalidate_roi_cache() # Method to set the default values of metadata options: def set_metadata_options_defaults( self, defaults: dict[str, Any], overwrite: bool = False ) -> None: """Set default values for metadata options A metadata option is a metadata entry starting with a double underscore. It is a way to store application-specific options in object metadata. .. note:: This will not overwrite existing metadata options (unless `overwrite` is True). It will only set the default values for options that are not already set.* Use `reset_metadata_to_defaults` method to reset all metadata options to their default values. Args: defaults: dictionary of default values for metadata options overwrite: whether to overwrite existing metadata options (default: False) """ self.__metadata_options_defaults.update(defaults) for key, value in defaults.items(): self.set_metadata_option(key, value, overwrite) def get_metadata_options_defaults(self) -> dict[str, Any]: """Return default values for metadata options A metadata option is a metadata entry starting with a double underscore. It is a way to store application-specific options in object metadata. Returns: Dictionary of default values for metadata options """ return self.__metadata_options_defaults def get_metadata_option(self, name: str, default: Any = NoDefaultOption) -> Any: """Return metadata option value A metadata option is a metadata entry starting with a double underscore. It is a way to store application-specific options in object metadata. Args: name: option name default: default value if option is not set (optional) Returns: Option value Raises: ValueError: if option name is invalid """ if ( default is not NoDefaultOption and name not in self.__metadata_options_defaults ): # If default is provided, store it in defaults # and set it as the option value self.__metadata_options_defaults[name] = default self.set_metadata_option(name, default, overwrite=False) try: value = self.metadata[f"__{name}"] except KeyError as exc: defaults = self.get_metadata_options_defaults() if name in defaults: value = defaults[name] else: raise ValueError( f"Invalid metadata option name `{name}` " f"(valid names: {', '.join(defaults.keys())})" ) from exc return value def set_metadata_option( self, name: str, value: Any, overwrite: bool = True ) -> None: """Set metadata option value A metadata option is a metadata entry starting with a double underscore. It is a way to store application-specific options in object metadata. Args: name: option name value: option value overwrite: whether to overwrite existing metadata options (default: True) Raises: ValueError: if option name is invalid """ if overwrite or f"__{name}" not in self.metadata: self.metadata[f"__{name}"] = value def get_metadata_options(self) -> dict[str, Any]: """Return metadata options A metadata option is a metadata entry starting with a double underscore. Returns: Dictionary of metadata options (name: value) """ options = {} for name, value in self.metadata.items(): if name.startswith("__"): options[name[2:]] = value return options def reset_metadata_to_defaults(self) -> None: """Reset metadata to default values""" self.metadata = {} self.invalidate_roi_cache() defaults = self.get_metadata_options_defaults() for name, value in defaults.items(): self.set_metadata_option(name, value) def save_attr_to_metadata(self, attrname: str, new_value: Any) -> None: """Save attribute to metadata Args: attrname: attribute name new_value: new value """ value = getattr(self, attrname) if value: self.metadata[f"orig_{attrname}"] = value setattr(self, attrname, new_value) def restore_attr_from_metadata(self, attrname: str, default: Any) -> None: """Restore attribute from metadata Args: attrname: attribute name default: default value """ value = self.metadata.pop(f"orig_{attrname}", default) setattr(self, attrname, value) # ------Annotation management methods def get_annotations(self) -> list[dict[str, Any]]: """Get annotations as a list of dictionaries. Returns: List of annotation dictionaries. Each dict contains application-specific annotation data. Returns empty list if no annotations exist. Notes: The annotation format is defined by the application layer. Sigima only provides storage and basic validation (valid JSON structure). Example: >>> obj.set_annotations([ ... {"type": "label", "x": 10, "y": 20, "text": "Peak"}, ... {"type": "rectangle", "x0": 0, "y0": 0, "x1": 100, "y1": 100} ... ]) >>> annotations = obj.get_annotations() >>> len(annotations) 2 """ if not self.annotations: return [] try: data = json.loads(self.annotations) if isinstance(data, dict) and "annotations" in data: return data["annotations"] return [] except (json.JSONDecodeError, TypeError): # Invalid JSON - return empty list return [] def set_annotations(self, annotations: list[dict[str, Any]]) -> None: """Set annotations from a list of dictionaries. Args: annotations: List of annotation dictionaries Raises: TypeError: If annotations is not a list ValueError: If annotation items are not JSON-serializable Notes: Each annotation dictionary should be JSON-serializable. The internal storage format includes a version field for future migration. Example: >>> obj.set_annotations([{"type": "label", "text": "Test"}]) """ if not isinstance(annotations, list): raise TypeError(f"Annotations must be a list, got {type(annotations)}") # Validate JSON serializability try: # Store with version for future-proofing data = {"version": "1.0", "annotations": annotations} self.annotations = json.dumps(data, indent=2) except (TypeError, ValueError) as exc: raise ValueError(f"Annotations must be JSON-serializable: {exc}") from exc def add_annotation(self, annotation: dict[str, Any]) -> None: """Add a single annotation. Args: annotation: Annotation dictionary to add Example: >>> obj.add_annotation({"type": "circle", "x": 50, "y": 50, "r": 10}) """ current = self.get_annotations() current.append(annotation) self.set_annotations(current) def clear_annotations(self) -> None: """Remove all annotations. Example: >>> obj.clear_annotations() >>> obj.get_annotations() [] """ self.annotations = "" def has_annotations(self) -> bool: """Check if object has any annotations. Returns: True if annotations exist, False otherwise Example: >>> obj.has_annotations() False >>> obj.add_annotation({"type": "label"}) >>> obj.has_annotations() True """ return bool(self.get_annotations()) class BaseROIParamMeta(abc.ABCMeta, gds.DataSetMeta): """Mixed metaclass to avoid conflicts""" class BaseROIParam( gds.DataSet, Generic[TypeObj, TypeSingleROI], # type: ignore metaclass=BaseROIParamMeta, ): """Base class for ROI parameters""" @abc.abstractmethod def to_single_roi(self, obj: TypeObj) -> TypeSingleROI: """Convert parameters to single ROI Args: obj: object (signal/image) Returns: Single ROI """ class BaseSingleROI(Generic[TypeObj, TypeROIParam], abc.ABC): # type: ignore """Base class for single ROI Args: coords: ROI edge (physical or pixel coordinates) indices: if True, coords are indices (pixels) instead of physical coordinates title: ROI title """ def __init__( self, coords: np.ndarray | list[int] | list[float], indices: bool, title: str = "ROI", ) -> None: self.coords = np.array(coords, int if indices else float) self.indices = indices self.title = title self.check_coords() def __eq__(self, other: BaseSingleROI | None) -> bool: """Test equality with another single ROI""" if other is None: return False if not isinstance(other, BaseSingleROI): raise TypeError(f"Cannot compare {type(self)} with {type(other)}") return ( np.array_equal(self.coords, other.coords) and self.indices == other.indices ) def get_physical_coords(self, obj: TypeObj) -> list[float]: """Return physical coords Args: obj: object (signal/image) Returns: Physical coords """ if self.indices: return obj.indices_to_physical(self.coords.tolist()) return self.coords.tolist() def set_physical_coords(self, obj: TypeObj, coords: np.ndarray) -> None: """Set physical coords Args: obj: object (signal/image) coords: physical coords """ if self.indices: self.coords = np.array(obj.physical_to_indices(coords.tolist())) else: self.coords = np.array(coords, float) def get_indices_coords(self, obj: TypeObj) -> list[int]: """Return indices coords Args: obj: object (signal/image) Returns: Indices coords """ if self.indices: return self.coords.tolist() return obj.physical_to_indices(self.coords.tolist()) def set_indices_coords(self, obj: TypeObj, coords: np.ndarray) -> None: """Set indices coords Args: obj: object (signal/image) coords: indices coords """ if self.indices: self.coords = coords else: self.coords = np.array(obj.indices_to_physical(coords.tolist())) @abc.abstractmethod def check_coords(self) -> None: """Check if coords are valid Raises: ValueError: invalid coords """ @abc.abstractmethod def to_mask(self, obj: TypeObj) -> np.ndarray: """Create mask from ROI Args: obj: signal or image object Returns: Mask (boolean array where True values are inside the ROI) """ @abc.abstractmethod def to_param(self, obj: TypeObj, index: int) -> TypeROIParam: """Convert ROI to parameters Args: obj: object (signal/image), for physical-indices coordinates conversion index: ROI index """ def to_dict(self) -> dict: """Convert ROI to dictionary Returns: Dictionary """ return { "coords": self.coords, "indices": self.indices, "title": self.title, "type": type(self).__name__, } @classmethod def from_dict(cls: Type[TypeSingleROI], dictdata: dict) -> TypeSingleROI: """Convert dictionary to ROI Args: dictdata: dictionary Returns: ROI """ return cls(dictdata["coords"], dictdata["indices"], dictdata["title"]) def get_coords_html_rows(self) -> list[tuple[str, str]]: """Return HTML table rows describing the ROI coordinates. Override this method in subclasses to provide more detailed coordinate descriptions (e.g., "Center", "Radius" for circular ROIs). Returns: List of (label, value) tuples for HTML table rows. """ coord_type = "indices" if self.indices else "physical" coords_str = ", ".join(f"{c:.4g}" for c in self.coords) return [(f"Coordinates ({coord_type})", f"[{coords_str}]")] def get_coords_summary(self) -> str: """Return a short summary of the ROI coordinates for table display. Override this method in subclasses to provide a more meaningful summary. Returns: Short string summarizing the ROI coordinates. """ coords_str = ", ".join(f"{c:.4g}" for c in self.coords) return f"[{coords_str}]" def _repr_html_(self) -> str: """Return HTML representation for Jupyter notebook display. This method is automatically called by Jupyter when displaying the object as a cell output, providing a rich HTML rendering of the ROI. Returns: HTML representation of the ROI with coordinates. """ roi_type = type(self).__name__ html = f'{roi_type}:' if self.title: html += f" {self.title}" html += '' for label, value in self.get_coords_html_rows(): html += ( f"" f"" ) html += "
{label}:{value}
" return html class BaseROI(Generic[TypeObj, TypeSingleROI, TypeROIParam], abc.ABC): # type: ignore """Abstract base class for ROIs (Regions of Interest) Args: inverse: if True, ROI is outside the region of interest """ #: Class attribute that defines a string prefix used for identifying ROI types #: in object metadata. This prefix is used when serializing and deserializing ROIs, #: allowing the system to determine the appropriate ROI class for reconstruction. #: Each ROI subclass should override this with a unique string identifier. PREFIX = "" # This is overriden in children classes def __init__(self) -> None: self.single_rois: list[TypeSingleROI] = [] @staticmethod @abc.abstractmethod def get_compatible_single_roi_classes() -> list[Type[BaseSingleROI]]: """Return compatible single ROI classes""" def __len__(self) -> int: """Return number of ROIs""" return len(self.single_rois) def __iter__(self) -> Iterator[TypeSingleROI]: """Iterate over single ROIs""" return iter(self.single_rois) def __eq__(self, other: BaseROI | None) -> bool: """Test equality with another ROI""" if other is None: return False if not isinstance(other, BaseROI): raise TypeError(f"Cannot compare {type(self)} with {type(other)}") return self.single_rois == other.single_rois def __getitem__(self, index: int) -> TypeSingleROI: """Return single ROI at index (subscript access) Args: index: ROI index Returns: Single ROI at index """ return self.single_rois[index] def __setitem__(self, index: int, roi: TypeSingleROI) -> None: """Set single ROI at index (subscript assignment) Args: index: ROI index roi: ROI to set """ self.single_rois[index] = roi def get_single_roi(self, index: int) -> TypeSingleROI: """Return single ROI at index Args: index: ROI index """ return self.single_rois[index] def set_single_roi(self, index: int, roi: TypeSingleROI) -> None: """Set single ROI at index Args: index: ROI index roi: ROI to set """ self.single_rois[index] = roi def get_single_roi_title(self, index: int) -> str: """Generate title for single ROI, based on its index, using either the ROI title or a default generic title as fallback. Args: index: ROI index """ single_roi = self.get_single_roi(index) title = single_roi.title or get_generic_roi_title(index) return title def is_empty(self) -> bool: """Return True if no ROI is defined""" return len(self) == 0 @classmethod def create( cls: Type[BaseROI], single_roi: TypeSingleROI ) -> BaseROI[TypeObj, TypeSingleROI, TypeROIParam]: """Create Regions of Interest object from a single ROI. Args: single_roi: single ROI Returns: Regions of Interest object """ roi = cls() roi.add_roi(single_roi) return roi def copy(self) -> BaseROI[TypeObj, TypeSingleROI, TypeROIParam]: """Return a copy of ROIs""" return deepcopy(self) def empty(self) -> None: """Empty ROIs""" self.single_rois.clear() def combine_with( self, other: BaseROI[TypeObj, TypeSingleROI, TypeROIParam] ) -> BaseROI[TypeObj, TypeSingleROI, TypeROIParam]: """Combine ROIs with another ROI object, by merging single ROIs (and ignoring duplicate single ROIs) and returning a new combined ROI object. Args: other: other ROI object Returns: Combined ROIs object """ if not isinstance(other, type(self)): raise TypeError(f"Cannot combine {type(self)} with {type(other)}") combined_roi = self.copy() for roi in other.single_rois: if all(s_roi != roi for s_roi in self.single_rois): combined_roi.single_rois.append(roi) return combined_roi def add_roi( self, roi: TypeSingleROI | BaseROI[TypeObj, TypeSingleROI, TypeROIParam] ) -> None: """Add ROI. Args: roi: ROI Raises: TypeError: if roi type is not supported (not a single ROI or a ROI) ValueError: if `inverse` values are incompatible """ if isinstance(roi, BaseSingleROI): self.single_rois.append(roi) elif isinstance(roi, BaseROI): self.single_rois.extend(roi.single_rois) else: raise TypeError(f"Unsupported ROI type: {type(roi)}") @abc.abstractmethod def to_mask(self, obj: TypeObj) -> np.ndarray: """Create mask from ROI Args: obj: signal or image object Returns: Mask (boolean array where True values are inside the ROI) """ def to_params(self, obj: TypeObj) -> list[TypeROIParam]: """Convert ROIs to a list of parameters Args: obj: object (signal/image), for physical to pixel conversion Returns: ROI parameters """ return [iroi.to_param(obj, index=idx) for idx, iroi in enumerate(self)] @classmethod def from_params( cls: Type[BaseROI], obj: TypeObj, params: list[TypeROIParam], ) -> BaseROI[TypeObj, TypeSingleROI, TypeROIParam]: """Create ROIs from parameters Args: obj: object (signal/image) params: ROI parameters Returns: ROIs """ roi = cls() for param in params: assert isinstance(param, BaseROIParam), "Invalid ROI parameter type" roi.add_roi(param.to_single_roi(obj)) return roi def _repr_html_(self) -> str: """Return HTML representation for Jupyter notebooks.""" roi_type = type(self).__name__ count = len(self.single_rois) rows = [] for idx, single_roi in enumerate(self.single_rois): title = single_roi.title or get_generic_roi_title(idx) stype = type(single_roi).__name__ coords_summary = single_roi.get_coords_summary() rows.append( f"{idx}{title}{stype}" f"{coords_summary}" ) table_rows = ( "\n".join(rows) if rows else "No ROIs" ) html = f""" {HTML_TABLE_CSS}

""" return html def to_dict(self) -> dict: """Convert ROIs to dictionary Returns: Dictionary """ return { "single_rois": [roi.to_dict() for roi in self.single_rois], } @classmethod def from_dict(cls: Type[TypeROI], dictdata: dict) -> TypeROI: """Convert dictionary to ROIs Args: dictdata: dictionary Returns: ROIs """ instance = cls() if not all(key in dictdata for key in ["single_rois"]): raise ValueError("Invalid ROI: dictionary must contain 'single_rois' key") instance.single_rois = [] for single_roi in dictdata["single_rois"]: for single_roi_class in instance.get_compatible_single_roi_classes(): if single_roi["type"] == single_roi_class.__name__: instance.single_rois.append(single_roi_class.from_dict(single_roi)) break else: raise ValueError(f"Unsupported single ROI type: {single_roi['type']}") return instance GENERIC_ROI_TITLE_REGEXP = r"ROI(\d+)" def get_generic_roi_title(index: int) -> None: """Return a generic title for the ROI""" title = f"ROI{index:02d}" assert re.match(GENERIC_ROI_TITLE_REGEXP, title) return title Sigima-1.1.1/sigima/objects/image/000077500000000000000000000000001514013333200167025ustar00rootroot00000000000000Sigima-1.1.1/sigima/objects/image/__init__.py000066400000000000000000000046671514013333200210300ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """ Image objects subpackage ======================== This subpackage provides image data structures and utilities. The subpackage is organized into the following modules: - `roi`: Region of Interest (ROI) classes and parameters - `object`: Main ImageObj class for handling 2D image data - `creation`: Image creation utilities and parameter classes All classes and functions are re-exported at the subpackage level for backward compatibility. Existing imports like `from sigima.objects.image import ImageObj` will continue to work. """ # Import all public classes and functions from submodules from .creation import ( # Constants DEFAULT_TITLE, Checkerboard2DParam, Gauss2DParam, # Enums ImageDatatypes, ImageTypes, # Base parameter classes NewImageParam, NormalDistribution2DParam, PoissonDistribution2DParam, Ramp2DParam, Ring2DParam, SiemensStar2DParam, Sinc2DParam, SinusoidalGrating2DParam, UniformDistribution2DParam, # Specific parameter classes Zero2DParam, check_all_image_parameters_classes, # Factory and utility functions create_image, create_image_from_param, create_image_parameters, get_next_image_number, # Registration functions register_image_parameters_class, ) from .object import ( ImageObj, ) from .roi import ( # ROI classes BaseSingleImageROI, CircularROI, # Specific ROI types ImageROI, PolygonalROI, RectangularROI, ROI2DParam, # ROI utility function create_image_roi, create_image_roi_around_points, ) # Define __all__ for explicit public API __all__ = [ "DEFAULT_TITLE", "BaseSingleImageROI", "Checkerboard2DParam", "CircularROI", "Gauss2DParam", "ImageDatatypes", "ImageObj", "ImageROI", "ImageTypes", "NewImageParam", "NormalDistribution2DParam", "PoissonDistribution2DParam", "PolygonalROI", "ROI2DParam", "Ramp2DParam", "RectangularROI", "Ring2DParam", "SiemensStar2DParam", "Sinc2DParam", "SinusoidalGrating2DParam", "UniformDistribution2DParam", "Zero2DParam", "check_all_image_parameters_classes", "create_image", "create_image_from_param", "create_image_parameters", "create_image_roi", "create_image_roi_around_points", "get_next_image_number", "register_image_parameters_class", ] Sigima-1.1.1/sigima/objects/image/creation.py000066400000000000000000000715541514013333200210740ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """ Image creation utilities ======================== This module provides functions and parameter classes for creating new images. The module includes: - `create_image`: Factory function for creating ImageObj instances - `ImageDatatypes`: Enumeration of supported image data types - `ImageTypes`: Enumeration of supported image generation types - `NewImageParam` and subclasses: Parameter classes for image generation - Factory functions and registration utilities These utilities support creating images from various sources: - Raw NumPy arrays - Synthetic data (zeros, random distributions, analytical functions) - Parameterized image generation """ # pylint: disable=invalid-name # Allows short reference names like x, y, ... # pylint: disable=duplicate-code from __future__ import annotations from typing import Type import guidata.dataset as gds import numpy as np from sigima.config import _ from sigima.objects import base from sigima.objects.image.object import ImageObj from sigima.tools.image import scale_data_to_min_max def create_image( title: str, data: np.ndarray | None = None, metadata: dict | None = None, units: tuple | None = None, labels: tuple | None = None, ) -> ImageObj: """Create a new Image object Args: title: image title data: image data metadata: image metadata units: X, Y, Z units (tuple of strings) labels: X, Y, Z labels (tuple of strings) Returns: Image object """ assert isinstance(title, str) assert data is None or isinstance(data, np.ndarray) image = ImageObj(title=title) image.title = title image.data = data if units is not None: image.xunit, image.yunit, image.zunit = units if labels is not None: image.xlabel, image.ylabel, image.zlabel = labels if metadata is not None: image.metadata.update(metadata) return image class ImageDatatypes(gds.LabeledEnum): """Image data types""" @classmethod def from_numpy_dtype(cls: type[ImageDatatypes], dtype: np.dtype) -> ImageDatatypes: """Return ImageDatatypes member from NumPy dtype Args: dtype: NumPy dtype object Returns: Corresponding ImageDatatypes member """ dtype_str = str(dtype) for member in cls: if member.value == dtype_str: return member return cls.UINT8 # Default fallback def to_numpy_dtype(self) -> np.dtype: """Return the corresponding NumPy dtype object. This is the symmetrical counterpart to from_numpy_dtype(). Returns: NumPy dtype object that can be used directly with numpy functions. """ return np.dtype(self.value) @classmethod def check(cls: type[ImageDatatypes]) -> None: """Check if data types are valid""" for member in cls: assert hasattr(np, member.value) #: Unsigned integer number stored with 8 bits UINT8 = "uint8" #: Unsigned integer number stored with 16 bits UINT16 = "uint16" #: Signed integer number stored with 16 bits INT16 = "int16" #: Float number stored with 32 bits FLOAT32 = "float32" #: Float number stored with 64 bits FLOAT64 = "float64" ImageDatatypes.check() class ImageTypes(gds.LabeledEnum): """Image types.""" #: Image filled with zero ZEROS = "zero", _("Zero") #: Image filled with random data (normal distribution) NORMAL_DISTRIBUTION = "normal_distribution", _("Normal distribution") #: Image filled with random data (Poisson distribution) POISSON_DISTRIBUTION = "poisson_distribution", _("Poisson distribution") #: Image filled with random data (uniform distribution) UNIFORM_DISTRIBUTION = "uniform_distribution", _("Uniform distribution") #: 2D Gaussian image GAUSS = "gauss", _("Gaussian") #: Bilinear form image RAMP = "ramp", _("2D ramp") #: Checkerboard pattern CHECKERBOARD = "checkerboard", _("Checkerboard") #: Sinusoidal grating pattern SINUSOIDAL_GRATING = "sinusoidal_grating", _("Sinusoidal grating") #: Ring/circular pattern RING = "ring", _("Ring pattern") #: Siemens star pattern SIEMENS_STAR = "siemens_star", _("Siemens star") #: 2D sinc function SINC = "sinc", _("2D sinc") DEFAULT_TITLE = _("Untitled image") class NewImageParam(gds.DataSet): """New image dataset. Subclasses can optionally implement a ``generate_title()`` method to provide automatic title generation based on their parameters. This method should return a string containing the generated title, or an empty string if no title can be generated. Example:: def generate_title(self) -> str: '''Generate a title based on current parameters.''' return f"MyImage(param1={self.param1},param2={self.param2})" """ hide_height = False hide_width = False hide_dtype = False hide_type = False title = gds.StringItem(_("Title"), default=DEFAULT_TITLE) height = gds.IntItem( _("Height"), default=1024, help=_("Image height: number of rows"), min=1 ).set_prop("display", hide=gds.GetAttrProp("hide_height")) width = gds.IntItem( _("Width"), default=1024, help=_("Image width: number of columns"), min=1 ).set_prop("display", col=1, hide=gds.GetAttrProp("hide_width")) dtype = gds.ChoiceItem( _("Type"), ImageDatatypes, default=ImageDatatypes.FLOAT64, help=_("Image data type"), ).set_prop("display", hide=gds.GetAttrProp("hide_dtype")) xlabel = gds.StringItem(_("X label"), default="") xunit = gds.StringItem(_("X unit"), default="").set_prop("display", col=1) ylabel = gds.StringItem(_("Y label"), default="") yunit = gds.StringItem(_("Y unit"), default="").set_prop("display", col=1) zlabel = gds.StringItem(_("Z label"), default="") zunit = gds.StringItem(_("Z unit"), default="").set_prop("display", col=1) def generate_2d_data(self, shape: tuple[int, int]) -> np.ndarray: """Generate 2D data based on current parameters. Args: shape: Tuple (height, width) for the output array. Returns: 2D data array """ return np.zeros(shape, dtype=self.dtype.to_numpy_dtype()) IMAGE_TYPE_PARAM_CLASSES = {} def register_image_parameters_class(itype: ImageTypes, param_class) -> None: """Register a parameters class for a given image type. Args: itype: image type param_class: parameters class """ IMAGE_TYPE_PARAM_CLASSES[itype] = param_class def __get_image_parameters_class(itype: ImageTypes) -> Type[NewImageParam]: """Get parameters class for a given image type. Args: itype: image type Returns: Parameters class Raises: ValueError: if no parameters class is registered for the given image type """ try: return IMAGE_TYPE_PARAM_CLASSES[itype] except KeyError as exc: raise ValueError( f"Image type {itype} has no parameters class registered" ) from exc def check_all_image_parameters_classes() -> None: """Check all registered parameters classes.""" for itype, param_class in IMAGE_TYPE_PARAM_CLASSES.items(): assert __get_image_parameters_class(itype) is param_class def create_image_parameters( itype: ImageTypes, title: str | None = None, height: int | None = None, width: int | None = None, idtype: ImageDatatypes | None = None, xlabel: str | None = None, ylabel: str | None = None, zlabel: str | None = None, xunit: str | None = None, yunit: str | None = None, zunit: str | None = None, **kwargs: dict, ) -> NewImageParam: """Create parameters for a given image type. Args: itype: image type title: image title height: image height (number of rows) width: image width (number of columns) idtype: image data type (`ImageDatatypes` member) xlabel: X axis label ylabel: Y axis label zlabel: Z axis label xunit: X axis unit yunit: Y axis unit zunit: Z axis unit **kwargs: additional parameters (specific to the image type) Returns: Parameters object for the given image type """ pclass = __get_image_parameters_class(itype) p = pclass.create(**kwargs) if title is not None: p.title = title if height is not None: p.height = height if width is not None: p.width = width if idtype is not None: assert isinstance(idtype, ImageDatatypes) p.dtype = idtype if xlabel is not None: p.xlabel = xlabel if ylabel is not None: p.ylabel = ylabel if zlabel is not None: p.zlabel = zlabel if xunit is not None: p.xunit = xunit if yunit is not None: p.yunit = yunit if zunit is not None: p.zunit = zunit return p class Zero2DParam(NewImageParam, title=_("Zero")): """Image parameters for a 2D image filled with zero.""" def generate_2d_data(self, shape: tuple[int, int]) -> np.ndarray: """Generate 2D data based on current parameters. Args: shape: Tuple (height, width) for the output array. Returns: 2D data array """ return np.zeros(shape, dtype=self.dtype.to_numpy_dtype()) register_image_parameters_class(ImageTypes.ZEROS, Zero2DParam) class UniformDistribution2DParam( NewImageParam, base.UniformDistributionParam, title=_("Uniform distribution") ): """Uniform-distribution image parameters.""" def generate_2d_data(self, shape: tuple[int, int]) -> np.ndarray: """Generate 2D data based on current parameters. Args: shape: Tuple (height, width) for the output array. Returns: 2D data array """ rng = np.random.default_rng(self.seed) assert self.vmin is not None assert self.vmax is not None data = scale_data_to_min_max(rng.random(shape), self.vmin, self.vmax) return data.astype(self.dtype.to_numpy_dtype()) register_image_parameters_class( ImageTypes.UNIFORM_DISTRIBUTION, UniformDistribution2DParam ) class NormalDistribution2DParam( NewImageParam, base.NormalDistributionParam, title=_("Normal distribution") ): """Normal-distribution image parameters.""" def generate_2d_data(self, shape: tuple[int, int]) -> np.ndarray: """Generate 2D data based on current parameters. Args: shape: Tuple (height, width) for the output array. Returns: 2D data array. """ rng = np.random.default_rng(self.seed) assert self.mu is not None assert self.sigma is not None data: np.ndarray = rng.normal(self.mu, self.sigma, shape) return data.astype(self.dtype.to_numpy_dtype()) register_image_parameters_class( ImageTypes.NORMAL_DISTRIBUTION, NormalDistribution2DParam ) class PoissonDistribution2DParam( NewImageParam, base.PoissonDistributionParam, title=_("Poisson distribution") ): """Poisson-distribution image parameters.""" def generate_2d_data(self, shape: tuple[int, int]) -> np.ndarray: """Generate 2D data based on current parameters. Args: shape: Tuple (height, width) for the output array. Returns: 2D data array. """ rng = np.random.default_rng(self.seed) assert self.lam is not None data: np.ndarray = rng.poisson(lam=self.lam, size=shape) return data.astype(self.dtype.to_numpy_dtype()) register_image_parameters_class( ImageTypes.POISSON_DISTRIBUTION, PoissonDistribution2DParam ) class Gauss2DParam( NewImageParam, title=_("Gaussian"), comment="z = A exp(-((√((x - x0)2 + " "(y - y0)2) - μ)2) / (2 σ2))", ): """2D Gaussian parameters.""" a = gds.FloatItem("A", default=None, check=False) xmin = gds.FloatItem("xmin", default=-10.0).set_pos(col=1) sigma = gds.FloatItem("σ", default=1.0) xmax = gds.FloatItem("xmax", default=10.0).set_pos(col=1) mu = gds.FloatItem("μ", default=0.0) ymin = gds.FloatItem("ymin", default=-10.0).set_pos(col=1) x0 = gds.FloatItem("x0", default=0.0) ymax = gds.FloatItem("ymax", default=10.0).set_pos(col=1) y0 = gds.FloatItem("y0", default=0.0).set_pos(col=0, colspan=1) def generate_title(self) -> str: """Generate a title based on current parameters.""" return ( f"Gauss(a={self.a:g},μ={self.mu:g}," f"σ={self.sigma:g}),x0={self.x0:g},y0={self.y0:g})" ) def generate_2d_data(self, shape: tuple[int, int]) -> np.ndarray: """Generate 2D data based on current parameters. Args: shape: Tuple (height, width) for the output array. Returns: 2D data array """ if self.a is None: try: self.a = np.iinfo(self.dtype.to_numpy_dtype()).max / 2.0 except ValueError: self.a = 10.0 x, y = np.meshgrid( np.linspace(self.xmin, self.xmax, shape[1]), np.linspace(self.ymin, self.ymax, shape[0]), ) data = self.a * np.exp( -((np.sqrt((x - self.x0) ** 2 + (y - self.y0) ** 2) - self.mu) ** 2) / (2.0 * self.sigma**2) ) return np.array(data, dtype=self.dtype.to_numpy_dtype()) register_image_parameters_class(ImageTypes.GAUSS, Gauss2DParam) class Ramp2DParam( NewImageParam, title=_("2D ramp"), comment="z = A (x - x0) + B (y - y0) + C", ): """Define the parameters of a 2D ramp (planar ramp).""" _g0_begin = gds.BeginGroup(_("Coefficients")) a = gds.FloatItem("A", default=1.0).set_pos(col=0) b = gds.FloatItem("B", default=1.0).set_pos(col=1) c = gds.FloatItem("C", default=0.0).set_pos(colspan=1) x0 = gds.FloatItem("x0", default=0.0).set_pos(col=0) y0 = gds.FloatItem("y0", default=0.0).set_pos(col=1) _g0_end = gds.EndGroup("") _g1_begin = gds.BeginGroup(_("Domain")) xmin = gds.FloatItem("xmin", default=-1.0).set_pos(col=0) xmax = gds.FloatItem("xmax", default=1.0).set_pos(col=1) ymin = gds.FloatItem("ymin", default=-1.0).set_pos(col=0) ymax = gds.FloatItem("ymax", default=1.0).set_pos(col=1) _g1_end = gds.EndGroup("") def generate_title(self) -> str: """Generate a title based on current parameters.""" terms = [] # Build terms list for non-zero coefficients if self.a != 0.0: if self.x0 == 0.0: x_part = f"{self.a:g} x" else: x_part = f"{self.a:g} (x - {self.x0:g})" terms.append(x_part) if self.b != 0.0: if self.y0 == 0.0: y_part = f"{self.b:g} y" else: y_part = f"{self.b:g} (y - {self.y0:g})" terms.append(y_part) if self.c != 0.0 or not terms: # Include c if it's the only term terms.append(f"{self.c:g}") return f"z = {' + '.join(terms)}" def generate_2d_data(self, shape: tuple[int, int]) -> np.ndarray: """Generate 2D data based on current parameters. Args: shape: Tuple (height, width) for the output array. Returns: 2D data array """ x = np.linspace(self.xmin, self.xmax, shape[1]) y = np.linspace(self.ymin, self.ymax, shape[0]) xx, yy = np.meshgrid(x, y) data = self.a * (xx - self.x0) + self.b * (yy - self.y0) + self.c return np.array(data, dtype=self.dtype.to_numpy_dtype()) register_image_parameters_class(ImageTypes.RAMP, Ramp2DParam) class Checkerboard2DParam( NewImageParam, title=_("Checkerboard"), comment=_("Checkerboard pattern with alternating squares"), ): """Checkerboard pattern parameters.""" square_size = gds.IntItem( _("Square size"), default=64, min=1, help=_("Size of each square in pixels") ) x0 = gds.FloatItem("x0", default=0.0, help=_("X offset")) y0 = gds.FloatItem("y0", default=0.0, help=_("Y offset")).set_pos(col=1) vmin = gds.FloatItem( _("Minimum value"), default=0.0, help=_("Value for dark squares") ) vmax = gds.FloatItem( _("Maximum value"), default=255.0, help=_("Value for light squares") ).set_pos(col=1) def generate_title(self) -> str: """Generate a title based on current parameters.""" return f"Checkerboard(size={self.square_size})" def generate_2d_data(self, shape: tuple[int, int]) -> np.ndarray: """Generate 2D data based on current parameters. Args: shape: Tuple (height, width) for the output array. Returns: 2D data array """ # Create coordinate arrays y = np.arange(shape[0]) - self.y0 x = np.arange(shape[1]) - self.x0 xx, yy = np.meshgrid(x, y) # Create checkerboard pattern using floor division pattern = ((xx // self.square_size) + (yy // self.square_size)) % 2 # Scale to desired range data = np.where(pattern == 0, self.vmin, self.vmax) return data.astype(self.dtype.to_numpy_dtype()) register_image_parameters_class(ImageTypes.CHECKERBOARD, Checkerboard2DParam) class SinusoidalGrating2DParam( NewImageParam, title=_("Sinusoidal grating"), comment="z = A sin(2π(fx·x + fy·y) + φ) + C", ): """Sinusoidal grating parameters.""" _g0_begin = gds.BeginGroup(_("Amplitude and offset")) a = gds.FloatItem("A", default=100.0, help=_("Amplitude")).set_pos(col=0) c = gds.FloatItem("C", default=128.0, help=_("DC offset")).set_pos(col=1) _g0_end = gds.EndGroup("") _g1_begin = gds.BeginGroup(_("Frequency and phase")) fx = gds.FloatItem( "fx", default=0.1, help=_("Spatial frequency in X direction") ).set_pos(col=0) fy = gds.FloatItem( "fy", default=0.0, help=_("Spatial frequency in Y direction") ).set_pos(col=1) phase = gds.FloatItem("φ", default=0.0, help=_("Phase"), unit="rad").set_pos( colspan=1 ) _g1_end = gds.EndGroup("") _g2_begin = gds.BeginGroup(_("Domain")) xmin = gds.FloatItem("xmin", default=0.0).set_pos(col=0) xmax = gds.FloatItem("xmax", default=100.0).set_pos(col=1) ymin = gds.FloatItem("ymin", default=0.0).set_pos(col=0) ymax = gds.FloatItem("ymax", default=100.0).set_pos(col=1) _g2_end = gds.EndGroup("") def generate_title(self) -> str: """Generate a title based on current parameters.""" return f"Grating(fx={self.fx:g},fy={self.fy:g},φ={self.phase:g})" def generate_2d_data(self, shape: tuple[int, int]) -> np.ndarray: """Generate 2D data based on current parameters. Args: shape: Tuple (height, width) for the output array. Returns: 2D data array """ x = np.linspace(self.xmin, self.xmax, shape[1]) y = np.linspace(self.ymin, self.ymax, shape[0]) xx, yy = np.meshgrid(x, y) data = self.a * np.sin(2 * np.pi * (self.fx * xx + self.fy * yy) + self.phase) data = data + self.c return data.astype(self.dtype.to_numpy_dtype()) register_image_parameters_class(ImageTypes.SINUSOIDAL_GRATING, SinusoidalGrating2DParam) class Ring2DParam( NewImageParam, title=_("Ring pattern"), comment=_("Concentric ring pattern"), ): """Ring pattern parameters.""" x0 = gds.FloatItem("x0", default=0.0, help=_("Center X coordinate")) y0 = gds.FloatItem( "y0", default=0.0, help=_("Center Y coordinate") ).set_pos(col=1) _g0_begin = gds.BeginGroup(_("Ring parameters")) period = gds.FloatItem( _("Period"), default=50.0, min=0.1, help=_("Distance between ring centers") ) ring_width = gds.FloatItem( _("Ring width"), default=10.0, min=0.1, help=_("Width of each ring") ).set_pos(col=1) _g0_end = gds.EndGroup("") _g1_begin = gds.BeginGroup(_("Amplitude")) vmin = gds.FloatItem(_("Minimum value"), default=0.0) vmax = gds.FloatItem(_("Maximum value"), default=255.0).set_pos(col=1) _g1_end = gds.EndGroup("") _g2_begin = gds.BeginGroup(_("Domain")) xmin = gds.FloatItem("xmin", default=-100.0).set_pos(col=0) xmax = gds.FloatItem("xmax", default=100.0).set_pos(col=1) ymin = gds.FloatItem("ymin", default=-100.0).set_pos(col=0) ymax = gds.FloatItem("ymax", default=100.0).set_pos(col=1) _g2_end = gds.EndGroup("") def generate_title(self) -> str: """Generate a title based on current parameters.""" return f"Ring(period={self.period:g},width={self.ring_width:g})" def generate_2d_data(self, shape: tuple[int, int]) -> np.ndarray: """Generate 2D data based on current parameters. Args: shape: Tuple (height, width) for the output array. Returns: 2D data array """ x = np.linspace(self.xmin, self.xmax, shape[1]) y = np.linspace(self.ymin, self.ymax, shape[0]) xx, yy = np.meshgrid(x, y) # Calculate distance from center r = np.sqrt((xx - self.x0) ** 2 + (yy - self.y0) ** 2) # Create ring pattern: modulo creates repeating pattern ring_phase = (r % self.period) / self.period # Create rings: value is high when ring_phase is within the ring width ring_width_fraction = self.ring_width / self.period rings = np.where(ring_phase < ring_width_fraction, 1.0, 0.0) # Scale to desired range data = self.vmin + rings * (self.vmax - self.vmin) return data.astype(self.dtype.to_numpy_dtype()) register_image_parameters_class(ImageTypes.RING, Ring2DParam) class SiemensStar2DParam( NewImageParam, title=_("Siemens star"), comment=_("Siemens star pattern for resolution testing"), ): """Siemens star pattern parameters.""" x0 = gds.FloatItem("x0", default=0.0, help=_("Center X coordinate")) y0 = gds.FloatItem( "y0", default=0.0, help=_("Center Y coordinate") ).set_pos(col=1) n_spokes = gds.IntItem( _("Number of spokes"), default=36, min=2, help=_("Number of spoke pairs") ) _g0_begin = gds.BeginGroup(_("Radial limits")) inner_radius = gds.FloatItem( _("Inner radius"), default=0.0, min=0.0, help=_("Inner radius (hole in center)") ) outer_radius = gds.FloatItem( _("Outer radius"), default=100.0, min=0.1, help=_("Outer radius (edge of pattern)"), ).set_pos(col=1) _g0_end = gds.EndGroup("") _g1_begin = gds.BeginGroup(_("Amplitude")) vmin = gds.FloatItem(_("Minimum value"), default=0.0) vmax = gds.FloatItem(_("Maximum value"), default=255.0).set_pos(col=1) _g1_end = gds.EndGroup("") _g2_begin = gds.BeginGroup(_("Domain")) xmin = gds.FloatItem("xmin", default=-100.0).set_pos(col=0) xmax = gds.FloatItem("xmax", default=100.0).set_pos(col=1) ymin = gds.FloatItem("ymin", default=-100.0).set_pos(col=0) ymax = gds.FloatItem("ymax", default=100.0).set_pos(col=1) _g2_end = gds.EndGroup("") def generate_title(self) -> str: """Generate a title based on current parameters.""" return f"Siemens(n={self.n_spokes})" def generate_2d_data(self, shape: tuple[int, int]) -> np.ndarray: """Generate 2D data based on current parameters. Args: shape: Tuple (height, width) for the output array. Returns: 2D data array """ x = np.linspace(self.xmin, self.xmax, shape[1]) y = np.linspace(self.ymin, self.ymax, shape[0]) xx, yy = np.meshgrid(x, y) # Calculate polar coordinates r = np.sqrt((xx - self.x0) ** 2 + (yy - self.y0) ** 2) theta = np.arctan2(yy - self.y0, xx - self.x0) # Create spoke pattern: alternating black and white spokes # Normalize angle to [0, 2π] and create pattern theta_normalized = (theta + np.pi) / (2 * np.pi) # Now in [0, 1] spoke_pattern = np.floor(theta_normalized * self.n_spokes * 2) % 2 # Apply radial mask radial_mask = (r >= self.inner_radius) & (r <= self.outer_radius) # Combine pattern with mask data = np.where(radial_mask, spoke_pattern, 0.5) # 0.5 for outside region # Scale to desired range data = self.vmin + data * (self.vmax - self.vmin) return data.astype(self.dtype.to_numpy_dtype()) register_image_parameters_class(ImageTypes.SIEMENS_STAR, SiemensStar2DParam) class Sinc2DParam( NewImageParam, title=_("2D sinc"), comment="z = A sinc(√((x - x0)2 + " "(y - y0)2) / σ) + C", ): """2D sinc function parameters.""" _g0_begin = gds.BeginGroup(_("Amplitude and offset")) a = gds.FloatItem("A", default=100.0, help=_("Amplitude")).set_pos(col=0) c = gds.FloatItem("C", default=0.0, help=_("DC offset")).set_pos(col=1) _g0_end = gds.EndGroup("") _g1_begin = gds.BeginGroup(_("Center and scale")) x0 = gds.FloatItem("x0", default=0.0, help=_("Center X coordinate")) y0 = gds.FloatItem( "y0", default=0.0, help=_("Center Y coordinate") ).set_pos(col=1) sigma = gds.FloatItem("σ", default=10.0, min=0.1, help=_("Scale factor")).set_pos( colspan=1 ) _g1_end = gds.EndGroup("") _g2_begin = gds.BeginGroup(_("Domain")) xmin = gds.FloatItem("xmin", default=-50.0).set_pos(col=0) xmax = gds.FloatItem("xmax", default=50.0).set_pos(col=1) ymin = gds.FloatItem("ymin", default=-50.0).set_pos(col=0) ymax = gds.FloatItem("ymax", default=50.0).set_pos(col=1) _g2_end = gds.EndGroup("") def generate_title(self) -> str: """Generate a title based on current parameters.""" return f"Sinc(σ={self.sigma:g},x0={self.x0:g},y0={self.y0:g})" def generate_2d_data(self, shape: tuple[int, int]) -> np.ndarray: """Generate 2D data based on current parameters. Args: shape: Tuple (height, width) for the output array. Returns: 2D data array """ x = np.linspace(self.xmin, self.xmax, shape[1]) y = np.linspace(self.ymin, self.ymax, shape[0]) xx, yy = np.meshgrid(x, y) # Calculate radial distance from center r = np.sqrt((xx - self.x0) ** 2 + (yy - self.y0) ** 2) # Calculate sinc function: sinc(x) = sin(x)/x, with special case for x=0 # Scale by sigma r_scaled = r / self.sigma # Use numpy's sinc which is defined as sin(pi*x)/(pi*x) # We want sin(x)/x, so we divide by pi data = np.where(r_scaled == 0, 1.0, np.sin(r_scaled) / r_scaled) # Apply amplitude and offset data = self.a * data + self.c return data.astype(self.dtype.to_numpy_dtype()) register_image_parameters_class(ImageTypes.SINC, Sinc2DParam) check_all_image_parameters_classes() IMG_NB = 0 def get_next_image_number(): """Get the next image number. This function is used to keep track of the number of signals created. It is typically used to generate unique titles for new signals. Returns: int: new image number """ global IMG_NB # pylint: disable=global-statement IMG_NB += 1 return IMG_NB def create_image_from_param(param: NewImageParam) -> ImageObj: """Create a new Image object from parameters. Args: param: new image parameters Returns: Image object Raises: NotImplementedError: if the image type is not supported """ if param.height is None: param.height = 1024 if param.width is None: param.width = 1024 if param.dtype is None: param.dtype = ImageDatatypes.UINT16 # Generate data first, as some `generate_title()` methods may depend on it: shape = (param.height, param.width) data = param.generate_2d_data(shape) # Check if user has customized the title or left it as default/empty use_generated_title = not param.title or param.title == DEFAULT_TITLE if use_generated_title: # Try to generate a descriptive title gen_title = getattr(param, "generate_title", lambda: "")() if gen_title: title = gen_title else: # No generated title available, use default with number title = f"{DEFAULT_TITLE} {get_next_image_number()}" else: # User has set a custom title, use it as-is title = param.title image = create_image( title, data, units=(param.xunit, param.yunit, param.zunit), labels=(param.xlabel, param.ylabel, param.zlabel), ) return image Sigima-1.1.1/sigima/objects/image/object.py000066400000000000000000000570131514013333200205300ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """ Image object definition ======================= This module defines the main `ImageObj` class for representing 2D image data. The `ImageObj` class provides: - Data storage for 2D arrays with associated metadata - Physical coordinate system with origin and pixel spacing - Axis labeling and units - Scale management (linear/logarithmic) - DICOM template support - ROI (Region of Interest) integration - Coordinate conversion utilities (physical ↔ pixel) This is the core class for image processing operations in Sigima. """ # pylint: disable=invalid-name # Allows short reference names like x, y, ... # pylint: disable=duplicate-code from __future__ import annotations import re from collections.abc import Mapping from typing import Any, Literal, Type import guidata.dataset as gds import numpy as np from numpy import ma from sigima.config import _ from sigima.objects import base from sigima.objects.image.roi import ImageROI from sigima.tools.datatypes import clip_astype def to_builtin(obj) -> str | int | float | list | dict | np.ndarray | None: """Convert an object implementing a numeric value or collection into the corresponding builtin/NumPy type. Return None if conversion fails.""" try: return int(obj) if int(obj) == float(obj) else float(obj) except (TypeError, ValueError): pass if isinstance(obj, str): return obj if hasattr(obj, "__iter__"): try: return list(obj) except (TypeError, ValueError): pass if hasattr(obj, "__dict__"): try: return dict(obj.__dict__) except (TypeError, ValueError): pass if isinstance(obj, np.ndarray): return obj return None class ImageObj(gds.DataSet, base.BaseObj[ImageROI]): """Image object""" PREFIX = "i" VALID_DTYPES = ( np.uint8, np.uint16, np.int16, np.int32, np.float32, np.float64, np.complex128, ) def __init__(self, title=None, comment=None, icon=""): """Constructor Args: title: title comment: comment icon: icon """ gds.DataSet.__init__(self, title, comment, icon) base.BaseObj.__init__(self) self._dicom_template = None @staticmethod def get_roi_class() -> Type[ImageROI]: """Return ROI class""" # Import here to avoid circular imports return ImageROI def __add_metadata(self, key: str, value: Any) -> None: """Add value to metadata if value can be converted into builtin/NumPy type Args: key: key value: value """ stored_val = to_builtin(value) if stored_val is not None: self.metadata[key] = stored_val def __set_metadata_from(self, obj: Mapping | dict) -> None: """Set metadata from object: dict-like (only string keys are considered) or any other object (iterating over supported attributes) Args: obj: object """ self.reset_metadata_to_defaults() ptn = r"__[\S_]*__$" if isinstance(obj, Mapping): for key, value in obj.items(): if isinstance(key, str) and not re.match(ptn, key): self.__add_metadata(key, value) else: for attrname in dir(obj): if attrname != "GroupLength" and not re.match(ptn, attrname): try: attr = getattr(obj, attrname) if not callable(attr) and attr: self.__add_metadata(attrname, attr) except AttributeError: pass @property def dicom_template(self): """Get DICOM template""" return self._dicom_template @dicom_template.setter def dicom_template(self, template): """Set DICOM template""" if template is not None: ipp = getattr(template, "ImagePositionPatient", None) x0, y0 = 0.0, 0.0 if ipp is None else (float(ipp[0]), float(ipp[1])) pxs = getattr(template, "PixelSpacing", None) dx, dy = 1.0, 1.0 if pxs is None else (float(pxs[0]), float(pxs[1])) self.set_uniform_coords(dx, dy, x0, y0) self.__set_metadata_from(template) self._dicom_template = template _tabs = gds.BeginTabGroup("all") _datag = gds.BeginGroup(_("Data")) data = gds.FloatArrayItem(_("Data")) # type: ignore[assignment] metadata = gds.DictItem(_("Metadata"), default={}) # type: ignore[assignment] annotations = gds.StringItem(_("Annotations"), default="").set_prop( "display", hide=True, ) # Annotations (JSON). Use get/set_annotations() API # type: ignore[assignment] _e_datag = gds.EndGroup(_("Data")) def _compute_xmin(self) -> float: """Compute Xmin""" if self.data is None or self.data.size == 0: return 0.0 if self.is_uniform_coords: return self.x0 if self.xcoords is None or self.xcoords.size == 0: return np.nan return self.xcoords[0] def _compute_xmax(self) -> float: """Compute Xmax""" if self.data is None or self.data.size == 0: return 0.0 if self.is_uniform_coords: return self.x0 + self.width - self.dx if self.xcoords is None or self.xcoords.size == 0: return np.nan return self.xcoords[-1] def _compute_ymin(self) -> float: """Compute Ymin""" if self.data is None or self.data.size == 0: return 0.0 if self.is_uniform_coords: return self.y0 if self.ycoords is None or self.ycoords.size == 0: return np.nan return self.ycoords[0] def _compute_ymax(self) -> float: """Compute Ymax""" if self.data is None or self.data.size == 0: return 0.0 if self.is_uniform_coords: return self.y0 + self.height - self.dy if self.ycoords is None or self.ycoords.size == 0: return np.nan return self.ycoords[-1] _dxdyg = gds.BeginGroup(f"{_('Origin')} / {_('Pixel spacing')}") _prop_uniform = gds.GetAttrProp("is_uniform_coords") is_uniform_coords = gds.BoolItem(_("Uniform coordinates"), default=True).set_prop( "display", store=_prop_uniform, active=False ) _origin = gds.BeginGroup(_("Origin")) x0 = gds.FloatItem("X0", default=0.0).set_prop( "display", active=_prop_uniform ) y0 = ( gds.FloatItem("Y0", default=0.0) .set_prop("display", active=_prop_uniform) .set_pos(col=1) ) _e_origin = gds.EndGroup(_("Origin")) _pixel_spacing = gds.BeginGroup(_("Pixel spacing")) dx = gds.FloatItem("Δx", default=1.0).set_prop("display", active=_prop_uniform) dy = ( gds.FloatItem("Δy", default=1.0) .set_prop("display", active=_prop_uniform) .set_pos(col=1) ) _e_pixel_spacing = gds.EndGroup(_("Pixel spacing")) _boundaries = gds.BeginGroup(_("Extent")) xmin = gds.FloatItem("XMIN").set_computed(_compute_xmin) xmax = gds.FloatItem("XMAX").set_pos(col=1).set_computed(_compute_xmax) ymin = gds.FloatItem("YMIN").set_computed(_compute_ymin) ymax = gds.FloatItem("YMAX").set_pos(col=1).set_computed(_compute_ymax) _e_boundaries = gds.EndGroup(_("Extent")) _e_dxdyg = gds.EndGroup(f"{_('Origin')} / {_('Pixel spacing')}") _coordsg = gds.BeginGroup(_("Coordinates")) xcoords = gds.FloatArrayItem( _("X coordinates"), default=np.array([], dtype=float), ).set_prop("display", active=gds.NotProp(_prop_uniform)) # type: ignore[assignment] ycoords = ( gds.FloatArrayItem(_("Y coordinates"), default=np.array([], dtype=float)) .set_prop("display", active=gds.NotProp(_prop_uniform)) .set_pos(col=1) ) # type: ignore[assignment] _e_coordsg = gds.EndGroup(_("Coordinates")) def set_uniform_coords( self, dx: float, dy: float, x0: float = 0.0, y0: float = 0.0 ) -> None: """Set uniform coordinates and clear non-uniform arrays. Args: dx: pixel size along X-axis dy: pixel size along Y-axis x0: origin X-axis coordinate y0: origin Y-axis coordinate """ self.is_uniform_coords = True self.xcoords = np.array([], dtype=float) self.ycoords = np.array([], dtype=float) self.dx, self.dy, self.x0, self.y0 = dx, dy, x0, y0 def set_coords(self, xcoords: np.ndarray, ycoords: np.ndarray) -> None: """Set non-uniform coordinates. Args: xcoords: X coordinates ycoords: Y coordinates """ self.is_uniform_coords = False self.xcoords = xcoords self.ycoords = ycoords def switch_coords_to(self, coords_type: Literal["uniform", "non-uniform"]) -> None: """Switch coordinates to uniform or non-uniform representation. If switching to uniform, the image pixel size and origin are computed from the current non-uniform coordinates. If switching to non-uniform, the corresponding coordinate arrays are generated from the current pixel size and origin. If the current coordinates are already of the requested type, no action is performed. Args: coords_type: 'uniform' or 'non-uniform' Raises: ValueError: If switching to uniform coordinates fails due to insufficient non-uniform coordinates defined """ if coords_type == "uniform" and not self.is_uniform_coords: if self.xcoords.size >= 2 and self.ycoords.size >= 2: x0, y0 = float(self.xcoords[0]), float(self.ycoords[0]) dx = float(self.xcoords[-1] - self.xcoords[0]) / (self.xcoords.size - 1) dy = float(self.ycoords[-1] - self.ycoords[0]) / (self.ycoords.size - 1) self.set_uniform_coords(dx, dy, x0, y0) else: raise ValueError( "Cannot switch to uniform coordinates: " "not enough non-uniform coordinates defined" ) elif coords_type == "non-uniform" and self.is_uniform_coords: shape = self.data.shape xcoords = np.linspace(self.x0, self.x0 + self.dx * (shape[1] - 1), shape[1]) ycoords = np.linspace(self.y0, self.y0 + self.dy * (shape[0] - 1), shape[0]) self.set_coords(xcoords, ycoords) _unitsg = gds.BeginGroup(_("Titles / Units")) title = gds.StringItem(_("Image title"), default=_("Untitled")) _tabs_u = gds.BeginTabGroup("units") _unitsx = gds.BeginGroup(_("X-axis")) xlabel = gds.StringItem(_("Title"), default="") xunit = gds.StringItem(_("Unit"), default="") _e_unitsx = gds.EndGroup(_("X-axis")) _unitsy = gds.BeginGroup(_("Y-axis")) ylabel = gds.StringItem(_("Title"), default="") yunit = gds.StringItem(_("Unit"), default="") _e_unitsy = gds.EndGroup(_("Y-axis")) _unitsz = gds.BeginGroup(_("Z-axis")) zlabel = gds.StringItem(_("Title"), default="") zunit = gds.StringItem(_("Unit"), default="") _e_unitsz = gds.EndGroup(_("Z-axis")) _e_tabs_u = gds.EndTabGroup("units") _e_unitsg = gds.EndGroup(_("Titles / Units")) _scalesg = gds.BeginGroup(_("Scales")) _prop_autoscale = gds.GetAttrProp("autoscale") autoscale = gds.BoolItem(_("Auto scale"), default=True).set_prop( "display", store=_prop_autoscale ) _tabs_b = gds.BeginTabGroup("bounds") _boundsx = gds.BeginGroup(_("X-axis")) xscalelog = gds.BoolItem(_("Logarithmic scale"), default=False) xscalemin = gds.FloatItem(_("Lower bound"), check=False).set_prop( "display", active=gds.NotProp(_prop_autoscale) ) xscalemax = gds.FloatItem(_("Upper bound"), check=False).set_prop( "display", active=gds.NotProp(_prop_autoscale) ) _e_boundsx = gds.EndGroup(_("X-axis")) _boundsy = gds.BeginGroup(_("Y-axis")) yscalelog = gds.BoolItem(_("Logarithmic scale"), default=False) yscalemin = gds.FloatItem(_("Lower bound"), check=False).set_prop( "display", active=gds.NotProp(_prop_autoscale) ) yscalemax = gds.FloatItem(_("Upper bound"), check=False).set_prop( "display", active=gds.NotProp(_prop_autoscale) ) _e_boundsy = gds.EndGroup(_("Y-axis")) _boundsz = gds.BeginGroup(_("LUT range")) zscalemin = gds.FloatItem(_("Lower bound"), check=False) zscalemax = gds.FloatItem(_("Upper bound"), check=False) _e_boundsz = gds.EndGroup(_("LUT range")) _e_tabs_b = gds.EndTabGroup("bounds") _e_scalesg = gds.EndGroup(_("Scales")) _e_tabs = gds.EndTabGroup("all") @property def width(self) -> float: """Return image width, i.e. number of columns multiplied by pixel size""" return self.data.shape[1] * self.dx @property def height(self) -> float: """Return image height, i.e. number of rows multiplied by pixel size""" return self.data.shape[0] * self.dy @property def xc(self) -> float: """Return image center X-axis coordinate""" return self.x0 + 0.5 * self.width @property def yc(self) -> float: """Return image center Y-axis coordinate""" return self.y0 + 0.5 * self.height def _repr_html_(self) -> str: """Return HTML representation for Jupyter notebook display. This method is automatically called by Jupyter when displaying the object as a cell output, providing a rich HTML rendering of the image object. Returns: HTML representation of the image with summary statistics. """ shape = self.data.shape if self.data is not None else (0, 0) dtype_str = str(self.data.dtype) if self.data is not None else "N/A" z_min = f"{self.data.min():.4g}" if self.data is not None else "N/A" z_max = f"{self.data.max():.4g}" if self.data is not None else "N/A" # Build axis labels with optional title x_label = "X" if self.xlabel: x_label = f"X ({self.xlabel})" y_label = "Y" if self.ylabel: y_label = f"Y ({self.ylabel})" z_label = "Z" if self.zlabel: z_label = f"Z ({self.zlabel})" html = f'ImageObj: {self.title}:' html += '' html += ( f"" f"" ) html += ( f"" ) html += ( f"" f"" # Origin and pixel spacing (for uniform coordinates) if self.is_uniform_coords: html += ( f"" f"" html += ( f"" f"" else: # Non-uniform coordinates: show coordinate array info x_coords_info = "N/A" y_coords_info = "N/A" if self.xcoords is not None and self.xcoords.size > 0: x_coords_info = f"[{self.xcoords[0]:.4g}, {self.xcoords[-1]:.4g}]" if self.ycoords is not None and self.ycoords.size > 0: y_coords_info = f"[{self.ycoords[0]:.4g}, {self.ycoords[-1]:.4g}]" html += ( f"" f"" html += ( f"" f"" # Extent (physical bounds) html += ( f"" f"" html += ( f"" f"" # Physical size html += ( f"" f"" if self.roi is not None: html += ( f"" f"" ) html += "
Shape:{shape[1]} × {shape[0]} (W×H)
Data type:{dtype_str}
{z_label} range:[{z_min}, {z_max}]" ) if self.zunit: html += f" {self.zunit}" html += "
Origin ({x_label}, {y_label}):({self.x0:.4g}, {self.y0:.4g})" ) if self.xunit: html += f" {self.xunit}" html += "
Pixel spacing (Δx, Δy):({self.dx:.4g}, {self.dy:.4g})" ) if self.xunit: html += f" {self.xunit}" html += "
{x_label} coords:{x_coords_info}" ) if self.xunit: html += f" {self.xunit}" html += "
{y_label} coords:{y_coords_info}" ) if self.yunit: html += f" {self.yunit}" html += "
Extent ({x_label}):[{self._compute_xmin():.4g}, {self._compute_xmax():.4g}]" ) if self.xunit: html += f" {self.xunit}" html += "
Extent ({y_label}):[{self._compute_ymin():.4g}, {self._compute_ymax():.4g}]" ) if self.yunit: html += f" {self.yunit}" html += "
Physical size:{self.width:.4g} × {self.height:.4g}" ) if self.xunit: html += f" {self.xunit}" html += "
ROIs:{len(self.roi)}
" return html def get_data(self, roi_index: int | None = None) -> np.ndarray: """ Return original data (if ROI is not defined or `roi_index` is None), or ROI data (if both ROI and `roi_index` are defined). Args: roi_index: ROI index Returns: Masked data """ if self.roi is None or roi_index is None: view = self.data.view(ma.MaskedArray) view.mask = np.isnan(self.data) return view single_roi = self.roi.get_single_roi(roi_index) # pylint: disable=unbalanced-tuple-unpacking x0, y0, x1, y1 = self.physical_to_indices(single_roi.get_bounding_box(self)) # Clip coordinates to image boundaries to handle ROIs extending beyond canvas x0 = max(0, x0) y0 = max(0, y0) x1 = min(self.data.shape[1], x1) y1 = min(self.data.shape[0], y1) # If ROI is completely outside the image, return a fully masked array # with a single element to avoid zero-size array errors in statistics if x0 >= x1 or y0 >= y1: empty_array = ma.masked_array([[np.nan]], dtype=self.data.dtype, mask=True) return empty_array return self.get_masked_view()[y0:y1, x0:x1] def copy( self, title: str | None = None, dtype: np.dtype | None = None, all_metadata: bool = False, ) -> ImageObj: """Copy object. Args: title: title dtype: data type all_metadata: if True, copy all metadata, otherwise only basic metadata Returns: Copied object """ title = self.title if title is None else title obj = ImageObj(title=title) obj.title = title obj.xlabel = self.xlabel obj.ylabel = self.ylabel obj.zlabel = self.zlabel obj.xunit = self.xunit obj.yunit = self.yunit obj.zunit = self.zunit obj.metadata = base.deepcopy_metadata(self.metadata, all_metadata=all_metadata) obj.annotations = self.annotations if self.data is not None: obj.data = np.array(self.data, copy=True, dtype=dtype) obj.is_uniform_coords = self.is_uniform_coords if self.is_uniform_coords: obj.dx = self.dx obj.dy = self.dy obj.x0 = self.x0 obj.y0 = self.y0 else: obj.xcoords = np.array(self.xcoords, copy=True) obj.ycoords = np.array(self.ycoords, copy=True) obj.autoscale = self.autoscale obj.xscalelog = self.xscalelog obj.xscalemin = self.xscalemin obj.xscalemax = self.xscalemax obj.yscalelog = self.yscalelog obj.yscalemin = self.yscalemin obj.yscalemax = self.yscalemax obj.zscalemin = self.zscalemin obj.zscalemax = self.zscalemax obj.dicom_template = self.dicom_template return obj def set_data_type(self, dtype: np.dtype) -> None: """Change data type. If data type is integer, clip values to the new data type's range, thus avoiding overflow or underflow. Args: Data type """ self.data = clip_astype(self.data, dtype) def physical_to_indices( self, coords: list[float], clip: bool = False, as_float: bool = False ) -> list[int] | list[float]: """Convert coordinates from physical (real world) to indices (pixel) Args: coords: flat list of physical coordinates [x0, y0, x1, y1, ...] clip: if True, clip values to image boundaries as_float: if True, return float indices (i.e. without rounding) Returns: Indices Raises: ValueError: if coords does not contain an even number of elements """ if len(coords) % 2 != 0: raise ValueError( "coords must contain an even number of elements (x, y pairs)." ) indices = np.array(coords, float) if indices.size > 0: if self.is_uniform_coords: # Use existing uniform conversion indices[::2] = (indices[::2] - self.x0) / self.dx indices[1::2] = (indices[1::2] - self.y0) / self.dy else: # Use interpolation for non-uniform coordinates x_indices = np.arange(len(self.xcoords)) y_indices = np.arange(len(self.ycoords)) indices[::2] = np.interp(indices[::2], self.xcoords, x_indices) indices[1::2] = np.interp(indices[1::2], self.ycoords, y_indices) if clip: indices[::2] = np.clip(indices[::2], 0, self.data.shape[1] - 1) indices[1::2] = np.clip(indices[1::2], 0, self.data.shape[0] - 1) if as_float: return indices.tolist() return np.floor(indices + 0.5).astype(int).tolist() def indices_to_physical(self, indices: list[float]) -> list[float]: """Convert coordinates from indices to physical (real world) Args: indices: flat list of indices [x0, y0, x1, y1, ...] Returns: Coordinates Raises: ValueError: if indices does not contain an even number of elements """ if len(indices) % 2 != 0: raise ValueError( "indices must contain an even number of elements (x, y pairs)." ) coords = np.array(indices, float) if coords.size > 0: if self.is_uniform_coords: # Use existing uniform conversion coords[::2] = coords[::2] * self.dx + self.x0 coords[1::2] = coords[1::2] * self.dy + self.y0 else: # Use interpolation for non-uniform coordinates x_indices = np.arange(len(self.xcoords)) y_indices = np.arange(len(self.ycoords)) coords[::2] = np.interp(coords[::2], x_indices, self.xcoords) coords[1::2] = np.interp(coords[1::2], y_indices, self.ycoords) return coords.tolist() Sigima-1.1.1/sigima/objects/image/roi.py000066400000000000000000001071141514013333200200510ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """ Image ROI classes ================= This module defines ROI (Region of Interest) classes and utilities for images. The module provides: - `ROI2DParam`: Parameter class for 2D image ROIs - `BaseSingleImageROI`: Base class for single image ROIs - `RectangularROI`: Rectangular ROI implementation - `CircularROI`: Circular ROI implementation - `PolygonalROI`: Polygonal ROI implementation - `ImageROI`: Container for multiple image ROIs - `create_image_roi`: Factory function for creating image ROIs - `create_image_roi_around_points`: Function for creating image ROIs around points - Utility functions for coordinate handling These classes handle ROI definitions, parameter conversion, and mask generation for image processing operations. """ # pylint: disable=invalid-name # Allows short reference names like x, y, ... # pylint: disable=duplicate-code from __future__ import annotations import abc import re from collections.abc import ByteString, Mapping, Sequence from typing import TYPE_CHECKING, Literal, Type import guidata.dataset as gds import numpy as np from skimage import draw import sigima.enums import sigima.tools.image from sigima.config import _ from sigima.objects import base if TYPE_CHECKING: from sigima.objects.image.object import ImageObj def to_builtin(obj) -> str | int | float | list | dict | np.ndarray | None: """Convert an object implementing a numeric value or collection into the corresponding builtin/NumPy type. Return None if conversion fails.""" try: return int(obj) if int(obj) == float(obj) else float(obj) except (TypeError, ValueError): pass if isinstance(obj, ByteString): return str(obj) if isinstance(obj, Sequence): return str(obj) if len(obj) == len(str(obj)) else list(obj) if isinstance(obj, Mapping): return dict(obj) if isinstance(obj, np.ndarray): return obj return None def check_points(value: np.ndarray, raise_exception: bool = False) -> bool: """Check if value is a valid 1D array of coordinates (X, Y) pairs. Args: value: value to check raise_exception: if True, raise an exception on invalid value Returns: True if value is valid, False otherwise """ if not np.issubdtype(value.dtype, np.floating): if raise_exception: raise TypeError("Coordinates must be floats") return False if value.ndim != 1: if raise_exception: raise ValueError("Coordinates must be a 1D array") return False if len(value) % 2 != 0: if raise_exception: raise ValueError("Coordinates must contain pairs (X, Y)") return False return True class ROI2DParam(base.BaseROIParam["ImageObj", "BaseSingleImageROI"]): """Image ROI parameters""" def get_comment(self) -> str | None: """Get comment for ROI parameters""" return _( "This is a set of parameters defining a Region of Interest " "(ROI) in an image. The parameters can be used to create a ROI object " "or to extract data from an image using the ROI.

" "All values are expressed in physical coordinates (floats). " "The conversion to pixel coordinates is done by taking into account " "the image pixel size and origin.
" ) title = gds.StringItem(_("ROI title"), default="") # Note: the ROI coordinates are expressed in pixel coordinates (integers) # => That is the only way to handle ROI parametrization for image objects. # Otherwise, we would have to ask the user to systematically provide the # physical coordinates: that would be cumbersome and error-prone. _geometry_prop = gds.GetAttrProp("geometry") _rfp = gds.FuncProp(_geometry_prop, lambda x: x != "rectangle") _cfp = gds.FuncProp(_geometry_prop, lambda x: x != "circle") _pfp = gds.FuncProp(_geometry_prop, lambda x: x != "polygon") # Do not declare it as a static method: not supported by Python 3.9 def _lbl(name: str, index: int): # pylint: disable=no-self-argument """Returns nameindex""" return f"{name}{index}" geometries = ("rectangle", "circle", "polygon") geometry = gds.ChoiceItem( _("Geometry"), list(zip(geometries, geometries)), default="rectangle" ).set_prop("display", store=_geometry_prop, hide=True) # Parameters for rectangular ROI geometry: _tlcorner = gds.BeginGroup(_("Top left corner")).set_prop("display", hide=_rfp) x0 = gds.FloatItem(_lbl("X", 0), default=0).set_prop("display", hide=_rfp) y0 = ( gds.FloatItem(_lbl("Y", 0), default=0).set_pos(1).set_prop("display", hide=_rfp) ) _e_tlcorner = gds.EndGroup(_("Top left corner")) dx = gds.FloatItem("ΔX", default=0).set_prop("display", hide=_rfp) dy = gds.FloatItem("ΔY", default=0).set_pos(1).set_prop("display", hide=_rfp) # Parameters for circular ROI geometry: _cgroup = gds.BeginGroup(_("Center coordinates")).set_prop("display", hide=_cfp) xc = gds.FloatItem(_lbl("X", "C"), default=0).set_prop("display", hide=_cfp) yc = ( gds.FloatItem(_lbl("Y", "C"), default=0) .set_pos(1) .set_prop("display", hide=_cfp) ) _e_cgroup = gds.EndGroup(_("Center coordinates")) r = gds.FloatItem(_("Radius"), default=0).set_prop("display", hide=_cfp) # Parameters for polygonal ROI geometry: points = gds.FloatArrayItem(_("Coordinates"), check_callback=check_points).set_prop( "display", hide=_pfp ) # Parameter for ROI mask behavior: inverse = gds.BoolItem( _("Inverse ROI logic"), default=False, help=_( "When disabled (default), the ROI defines an area inside the shape on " "which to focus (masking data outside).\n" "When enabled, the ROI logic is inverted to focus on data outside the " "shape (masking data inside)." ), ) def to_single_roi( self, obj: ImageObj ) -> PolygonalROI | RectangularROI | CircularROI: """Convert parameters to single ROI Args: obj: image object (used for conversion of pixel to physical coordinates) Returns: Single ROI """ if self.geometry == "rectangle": return RectangularROI.from_param(obj, self) if self.geometry == "circle": return CircularROI.from_param(obj, self) if self.geometry == "polygon": return PolygonalROI.from_param(obj, self) raise ValueError(f"Unknown ROI geometry type: {self.geometry}") def get_suffix(self) -> str: """Get suffix text representation for ROI extraction""" if re.match(base.GENERIC_ROI_TITLE_REGEXP, self.title) or not self.title: if self.geometry == "rectangle": return f"x0={self.x0},y0={self.y0},dx={self.dx},dy={self.dy}" if self.geometry == "circle": return f"xc={self.xc},yc={self.yc},r={self.r}" if self.geometry == "polygon": return "polygon" raise ValueError(f"Unknown ROI geometry type: {self.geometry}") return self.title def get_extracted_roi(self, obj: ImageObj) -> ImageROI | None: """Get extracted ROI, i.e. the remaining ROI after extracting ROI from image. Args: obj: image object (used for conversion of pixel to physical coordinates) When extracting ROIs from an image to multiple images (i.e. one image per ROI), this method returns the ROI that has to be kept in the destination image. This is not necessary for a rectangular ROI: the destination image is simply a crop of the source image according to the ROI coordinates. But for a circular ROI or a polygonal ROI, the destination image is a crop of the source image according to the bounding box of the ROI. Thus, to avoid any loss of information, a ROI has to be defined for the destination image: this is the ROI returned by this method. It's simply the same as the source ROI, but with coordinates adjusted to the destination image. One may called this ROI the "extracted ROI". """ if self.geometry == "rectangle": return None single_roi = self.to_single_roi(obj) roi = ImageROI() roi.add_roi(single_roi) return roi def get_bounding_box_physical(self) -> tuple[int, int, int, int]: """Get bounding box (physical coordinates)""" if self.geometry == "circle": x0, y0 = self.xc - self.r, self.yc - self.r x1, y1 = self.xc + self.r, self.yc + self.r elif self.geometry == "rectangle": x0, y0, x1, y1 = self.x0, self.y0, self.x0 + self.dx, self.y0 + self.dy else: self.points: np.ndarray x0, y0 = self.points[::2].min(), self.points[1::2].min() x1, y1 = self.points[::2].max(), self.points[1::2].max() return x0, y0, x1, y1 def get_bounding_box_indices(self, obj: ImageObj) -> tuple[int, int, int, int]: """Get bounding box (pixel coordinates)""" x0, y0, x1, y1 = self.get_bounding_box_physical() ix0, iy0 = obj.physical_to_indices((x0, y0)) ix1, iy1 = obj.physical_to_indices((x1, y1)) return ix0, iy0, ix1, iy1 def get_data(self, obj: ImageObj) -> np.ndarray: """Get data in ROI Args: obj: image object Returns: Data in ROI """ ix0, iy0, ix1, iy1 = self.get_bounding_box_indices(obj) ix0, iy0 = max(0, ix0), max(0, iy0) ix1, iy1 = min(obj.data.shape[1], ix1), min(obj.data.shape[0], iy1) return obj.data[iy0:iy1, ix0:ix1] class BaseSingleImageROI(base.BaseSingleROI["ImageObj", ROI2DParam], abc.ABC): """Base class for single image ROI Args: coords: ROI edge coordinates (floats) indices: if True, coordinates are indices, if False, they are physical values title: ROI title inverse: inverse ROI logic (default: False) .. note:: The image ROI coords are expressed in physical coordinates (floats). The conversion to pixel coordinates is done in :class:`sigima.objects.ImageObj` (see :meth:`sigima.objects.ImageObj.physical_to_indices`). Most of the time, the physical coordinates are the same as the pixel coordinates, but this is not always the case (e.g. after image binning), so it's better to keep the physical coordinates in the ROI object: this will help reusing the ROI with different images (e.g. with different pixel sizes). """ def __init__( self, coords: np.ndarray | list[int] | list[float], indices: bool, title: str = "ROI", inverse: bool = False, ) -> None: super().__init__(coords, indices, title) self.inverse = inverse def to_dict(self) -> dict: """Convert ROI to dictionary Returns: Dictionary """ result = super().to_dict() result["inverse"] = self.inverse return result @classmethod def from_dict(cls, dictdata: dict): """Convert dictionary to ROI Args: dictdata: dictionary Returns: ROI """ # Get inverse parameter inverse = dictdata.get("inverse", False) # Default: normal ROI behavior return cls(dictdata["coords"], dictdata["indices"], dictdata["title"], inverse) @abc.abstractmethod def get_bounding_box(self, obj: ImageObj) -> tuple[float, float, float, float]: """Get bounding box (physical coordinates) Args: obj: image object """ class PolygonalROI(BaseSingleImageROI): """Polygonal ROI Args: coords: ROI edge coordinates title: title inverse: inverse ROI logic (default: False) Raises: ValueError: if number of coordinates is odd .. note:: The image ROI coords are expressed in physical coordinates (floats) """ def check_coords(self) -> None: """Check if coords are valid Raises: ValueError: invalid coords """ if len(self.coords) % 2 != 0: raise ValueError("Edge indices must be pairs of X, Y values") def get_coords_html_rows(self) -> list[tuple[str, str]]: """Return HTML table rows describing the polygon coordinates.""" n_vertices = len(self.coords) // 2 coord_type = "indices" if self.indices else "physical" # Show first few vertices if there are many if n_vertices <= 4: vertices_str = ", ".join( f"({self.coords[i * 2]:.4g}, {self.coords[i * 2 + 1]:.4g})" for i in range(n_vertices) ) return [(f"Vertices ({coord_type})", vertices_str)] return [(f"Vertices ({coord_type})", f"{n_vertices} points")] def get_coords_summary(self) -> str: """Return a short summary of the polygon coordinates.""" n_vertices = len(self.coords) // 2 return f"{n_vertices} vertices" # pylint: disable=unused-argument @classmethod def from_param(cls: PolygonalROI, obj: ImageObj, param: ROI2DParam) -> PolygonalROI: """Create ROI from parameters Args: obj: image object param: parameters """ return cls( param.points, indices=False, title=param.title, inverse=param.inverse, ) def get_bounding_box(self, obj: ImageObj) -> tuple[float, float, float, float]: """Get bounding box (physical coordinates) Args: obj: image object """ coords = self.get_physical_coords(obj) x_edges, y_edges = coords[::2], coords[1::2] return min(x_edges), min(y_edges), max(x_edges), max(y_edges) def to_mask(self, obj: ImageObj) -> np.ndarray: """Create mask from ROI Args: obj: image object Returns: Mask (boolean array where True values are inside the ROI) """ roi_mask = np.ones_like(obj.data, dtype=bool) indices = self.get_indices_coords(obj) rows = np.array(indices[1::2], dtype=float) # y coordinates cols = np.array(indices[::2], dtype=float) # x coordinates rr, cc = draw.polygon(rows, cols, shape=obj.data.shape) if self.inverse: # Inverse ROI: mask inside the polygon (True inside, False outside) roi_mask[:] = False roi_mask[rr, cc] = True else: # Normal ROI: mask outside the polygon (False inside, True outside) roi_mask[rr, cc] = False return roi_mask def to_param(self, obj: ImageObj, index: int) -> ROI2DParam: """Convert ROI to parameters Args: obj: object (image), for physical-indices coordinates conversion index: ROI index """ gtitle = base.get_generic_roi_title(index) param = ROI2DParam(gtitle) param.title = self.title or gtitle param.geometry = "polygon" param.points = np.array(self.get_physical_coords(obj)) param.inverse = self.inverse return param class RectangularROI(BaseSingleImageROI): """Rectangular ROI Args: coords: ROI edge coordinates (x0, y0, dx, dy) title: title inverse: inverse ROI logic (default: False) .. note:: The image ROI coords are expressed in physical coordinates (floats) """ def check_coords(self) -> None: """Check if coords are valid Raises: ValueError: invalid coords """ if len(self.coords) != 4: raise ValueError("Rectangle ROI requires 4 coordinates") def get_coords_html_rows(self) -> list[tuple[str, str]]: """Return HTML table rows describing the rectangle coordinates.""" x0, y0, dx, dy = self.coords coord_type = "indices" if self.indices else "physical" return [ (f"Origin ({coord_type})", f"({x0:.4g}, {y0:.4g})"), (f"Size ({coord_type})", f"{dx:.4g} × {dy:.4g}"), ] def get_coords_summary(self) -> str: """Return a short summary of the rectangle coordinates.""" x0, y0, dx, dy = self.coords return f"Origin: ({x0:.4g}, {y0:.4g}), Size: {dx:.4g}×{dy:.4g}" # pylint: disable=unused-argument @classmethod def from_param( cls: RectangularROI, obj: ImageObj, param: ROI2DParam ) -> RectangularROI: """Create ROI from parameters Args: obj: image object param: parameters """ x0, y0, x1, y1 = param.get_bounding_box_physical() return cls( [x0, y0, x1 - x0, y1 - y0], indices=False, title=param.title, inverse=param.inverse, ) def get_bounding_box(self, obj: ImageObj) -> tuple[float, float, float, float]: """Get bounding box (physical coordinates) Args: obj: image object """ x0, y0, dx, dy = self.get_physical_coords(obj) return x0, y0, x0 + dx, y0 + dy def get_physical_coords(self, obj: ImageObj) -> list[float]: """Return physical coords Args: obj: image object Returns: Physical coords """ if self.indices: ix0, iy0, idx, idy = self.coords x0, y0, x1, y1 = obj.indices_to_physical([ix0, iy0, ix0 + idx, iy0 + idy]) return [x0, y0, x1 - x0, y1 - y0] return self.coords def set_physical_coords(self, obj: ImageObj, coords: np.ndarray) -> None: """Set physical coords Args: obj: object (signal/image) coords: physical coords """ if self.indices: x0, y0, dx, dy = coords ix0, iy0, ix1, iy1 = obj.physical_to_indices([x0, y0, x0 + dx, y0 + dy]) self.coords = np.array([ix0, iy0, ix1 - ix0, iy1 - iy0], dtype=int) else: self.coords = np.array(coords, dtype=float) def get_indices_coords(self, obj: ImageObj) -> list[int]: """Return indices coords Args: obj: image object Returns: Indices coords """ if self.indices: return self.coords.tolist() ix0, iy0, ix1, iy1 = obj.physical_to_indices(self.get_bounding_box(obj)) return [ix0, iy0, ix1 - ix0, iy1 - iy0] def set_indices_coords(self, obj: ImageObj, coords: np.ndarray) -> None: """Set indices coords Args: obj: object (signal/image) coords: indices coords """ if self.indices: self.coords = coords else: ix0, iy0, idx, idy = coords x0, y0, x1, y1 = obj.indices_to_physical([ix0, iy0, ix0 + idx, iy0 + idy]) self.coords = np.array([x0, y0, x1 - x0, y1 - y0]) def to_mask(self, obj: ImageObj) -> np.ndarray: """Create mask from ROI Args: obj: image object Returns: Mask (boolean array where True values are inside the ROI) """ roi_mask = np.ones_like(obj.data, dtype=bool) ix0, iy0, idx, idy = self.get_indices_coords(obj) rr, cc = draw.rectangle((iy0, ix0), extent=(idy, idx), shape=obj.data.shape) if self.inverse: # Inverse ROI: mask inside the rectangle (True inside, False outside) roi_mask[:] = False roi_mask[rr, cc] = True else: # Normal ROI: mask outside the rectangle (False inside, True outside) roi_mask[rr, cc] = False return roi_mask def to_param(self, obj: ImageObj, index: int) -> ROI2DParam: """Convert ROI to parameters Args: obj: object (image), for physical-indices coordinates conversion index: ROI index """ gtitle = base.get_generic_roi_title(index) param = ROI2DParam(gtitle) param.title = self.title or gtitle param.geometry = "rectangle" param.x0, param.y0, param.dx, param.dy = self.get_physical_coords(obj) param.inverse = self.inverse return param @staticmethod def rect_to_coords( x0: int | float, y0: int | float, x1: int | float, y1: int | float ) -> np.ndarray: """Convert rectangle to coordinates Args: x0: x0 (first corner) y0: y0 (first corner) x1: x1 (opposite corner) y1: y1 (opposite corner) Returns: Rectangle coordinates (x0, y0, Δx, Δy) with positive Δx and Δy Note: Coordinates are normalized so that Δx and Δy are always positive. This handles rectangles drawn "backwards" (from bottom-right to top-left). """ # Normalize coordinates to ensure Δx and Δy are positive x_min, x_max = min(x0, x1), max(x0, x1) y_min, y_max = min(y0, y1), max(y0, y1) return np.array([x_min, y_min, x_max - x_min, y_max - y_min], dtype=type(x0)) class CircularROI(BaseSingleImageROI): """Circular ROI Args: coords: ROI edge coordinates (xc, yc, r) title: title inverse: inverse ROI logic (default: False) .. note:: The image ROI coords are expressed in physical coordinates (floats) """ # pylint: disable=unused-argument @classmethod def from_param(cls: CircularROI, obj: ImageObj, param: ROI2DParam) -> CircularROI: """Create ROI from parameters Args: obj: image object param: parameters """ x0, y0, x1, y1 = param.get_bounding_box_physical() ixc, iyc = (x0 + x1) * 0.5, (y0 + y1) * 0.5 ir = (x1 - x0) * 0.5 return cls( [ixc, iyc, ir], indices=False, title=param.title, inverse=param.inverse, ) def check_coords(self) -> None: """Check if coords are valid Raises: ValueError: invalid coords """ if len(self.coords) != 3: raise ValueError("Circle ROI requires 3 coordinates") def get_coords_html_rows(self) -> list[tuple[str, str]]: """Return HTML table rows describing the circle coordinates.""" xc, yc, r = self.coords coord_type = "indices" if self.indices else "physical" return [ (f"Center ({coord_type})", f"({xc:.4g}, {yc:.4g})"), (f"Radius ({coord_type})", f"{r:.4g}"), ] def get_coords_summary(self) -> str: """Return a short summary of the circle coordinates.""" xc, yc, r = self.coords return f"Center: ({xc:.4g}, {yc:.4g}), R: {r:.4g}" def get_bounding_box(self, obj: ImageObj) -> tuple[float, float, float, float]: """Get bounding box (physical coordinates) Args: obj: image object """ xc, yc, r = self.get_physical_coords(obj) return xc - r, yc - r, xc + r, yc + r def get_physical_coords(self, obj: ImageObj) -> np.ndarray: """Return physical coords Args: obj: image object Returns: Physical coords """ if self.indices: ixc, iyc, ir = self.coords x0, y0, x1, y1 = obj.indices_to_physical( [ixc - ir, iyc - ir, ixc + ir, iyc + ir] ) return [0.5 * (x0 + x1), 0.5 * (y0 + y1), 0.5 * (x1 - x0)] return self.coords def set_physical_coords(self, obj: ImageObj, coords: np.ndarray) -> None: """Set physical coords Args: obj: object (signal/image) coords: physical coords """ if self.indices: xc, yc, r = coords ix0, iy0, ix1, iy1 = obj.physical_to_indices( [xc - r, yc - r, xc + r, yc + r] ) self.coords = np.array( [0.5 * (ix0 + ix1), 0.5 * (iy0 + iy1), 0.5 * (ix1 - ix0)] ) else: self.coords = np.array(coords, dtype=float) def get_indices_coords(self, obj: ImageObj) -> list[float]: """Return indices coords Args: obj: image object Returns: Indices coords """ if self.indices: return self.coords ix0, iy0, ix1, iy1 = obj.physical_to_indices( self.get_bounding_box(obj), as_float=True ) ixc, iyc = (ix0 + ix1) * 0.5, (iy0 + iy1) * 0.5 ir = (ix1 - ix0) * 0.5 return [ixc, iyc, ir] def set_indices_coords(self, obj: ImageObj, coords: np.ndarray) -> None: """Set indices coords Args: obj: object (signal/image) coords: indices coords """ if self.indices: self.coords = coords else: ixc, iyc, ir = coords x0, y0, x1, y1 = obj.indices_to_physical( [ixc - ir, iyc - ir, ixc + ir, iyc + ir] ) self.coords = np.array([0.5 * (x0 + x1), 0.5 * (y0 + y1), 0.5 * (x1 - x0)]) def to_mask(self, obj: ImageObj) -> np.ndarray: """Create mask from ROI Args: obj: image object Returns: Mask (boolean array where True values are inside the ROI) """ roi_mask = np.ones_like(obj.data, dtype=bool) ixc, iyc, ir = self.get_indices_coords(obj) yxratio = obj.dy / obj.dx rr, cc = draw.ellipse(iyc, ixc, ir / yxratio, ir, shape=obj.data.shape) if self.inverse: # Inverse ROI: mask inside the circle (True inside, False outside) roi_mask[:] = False roi_mask[rr, cc] = True else: # Normal ROI: mask outside the circle (False inside, True outside) roi_mask[rr, cc] = False return roi_mask def to_param(self, obj: ImageObj, index: int) -> ROI2DParam: """Convert ROI to parameters Args: obj: object (image), for physical-indices coordinates conversion index: ROI index """ gtitle = base.get_generic_roi_title(index) param = ROI2DParam(gtitle) param.title = self.title or gtitle param.geometry = "circle" param.xc, param.yc, param.r = self.get_physical_coords(obj) param.inverse = self.inverse return param @staticmethod def rect_to_coords( x0: int | float, y0: int | float, x1: int | float, y1: int | float ) -> np.ndarray: """Convert rectangle to circle coordinates Args: x0: x0 (top-left corner) y0: y0 (top-left corner) x1: x1 (bottom-right corner) y1: y1 (bottom-right corner) Returns: Circle coordinates (xc, yc, r) """ xc, yc, r = 0.5 * (x0 + x1), 0.5 * (y0 + y1), 0.5 * (x1 - x0) return np.array([xc, yc, r], dtype=type(x0)) class ImageROI(base.BaseROI["ImageObj", BaseSingleImageROI, ROI2DParam]): """Image Regions of Interest Args: inverse: if True, ROI is outside the region """ PREFIX = "i" @staticmethod def get_compatible_single_roi_classes() -> list[Type[BaseSingleImageROI]]: """Return compatible single ROI classes""" return [RectangularROI, CircularROI, PolygonalROI] def to_mask(self, obj: ImageObj) -> np.ndarray: """Create mask from ROI Args: obj: image object Returns: Mask (boolean array where True values are inside the ROI) """ if not self.single_rois: # If no single ROIs, the mask is empty (no ROI defined) mask = np.ones_like(obj.data, dtype=bool) mask.fill(False) return mask # Check inverse values to determine combination strategy inverse_values = [roi.inverse for roi in self.single_rois] all_normal = not any(inverse_values) # All inverse=False (normal ROI) all_inverse = all(inverse_values) # All inverse=True (inverse ROI) if all_normal: # All ROIs have inverse=False: AND them together (intersection) mask = np.ones_like(obj.data, dtype=bool) for roi in self.single_rois: mask &= roi.to_mask(obj) elif all_inverse: # All ROIs have inverse=True: OR them together (union) mask = np.zeros_like(obj.data, dtype=bool) for roi in self.single_rois: mask |= roi.to_mask(obj) else: # Mixed inverse values: complex combination # Start with all True (full mask) mask = np.ones_like(obj.data, dtype=bool) # First apply all inverse=False ROIs (intersections) for roi in self.single_rois: if not roi.inverse: mask &= roi.to_mask(obj) # Then apply inverse=True ROIs (add their areas) inside_mask = np.zeros_like(obj.data, dtype=bool) for roi in self.single_rois: if roi.inverse: inside_mask |= roi.to_mask(obj) # Combine: mask outside regions AND include inside regions mask = mask | inside_mask return mask def create_image_roi( geometry: Literal["rectangle", "circle", "polygon"], coords: np.ndarray | list[float] | list[list[float]], indices: bool = False, title: str = "", inverse: bool | list[bool] = False, ) -> ImageROI: """Create Image Regions of Interest (ROI) object. More ROIs can be added to the object after creation, using the `add_roi` method. Args: geometry: ROI type ('rectangle', 'circle', 'polygon') coords: ROI coords (physical coordinates), `[x0, y0, dx, dy]` for a rectangle, `[xc, yc, r]` for a circle, or `[x0, y0, x1, y1, ...]` for a polygon (lists or NumPy arrays are accepted). For multiple ROIs, nested lists or NumPy arrays are accepted but with a common geometry type (e.g. `[[xc1, yc1, r1], [xc2, yc2, r2], ...]` for circles). indices: if True, coordinates are indices, if False, they are physical values (default to False) title: title inverse: ROI logic behavior. Controls whether the ROI logic is inversed (default: False, meaning normal ROI that focuses on data inside the shape). When True, the ROI logic is inversed to focus on data outside the shape. Can be a single boolean (applied to all ROIs) or a list of booleans (one per ROI for individual control). Returns: Regions of Interest (ROI) object Raises: ValueError: if ROI type is unknown, if the number of coordinates is invalid, or if the number of inverse values doesn't match the number of ROIs Examples: Create a single rectangle ROI (defaults to normal behavior): >>> roi = create_image_roi("rectangle", [10, 20, 30, 40]) Create a single rectangle ROI with inverse logic explicitly: >>> roi = create_image_roi("rectangle", [10, 20, 30, 40], inverse=True) Create multiple rectangles with global inverse parameter: >>> coords = [[10, 20, 30, 40], [50, 60, 70, 80]] >>> roi = create_image_roi("rectangle", coords, inverse=False) Create multiple rectangles with individual inverse parameters: >>> coords = [[10, 20, 30, 40], [50, 60, 70, 80]] >>> inverse_values = [True, False] # First inside, second outside >>> roi = create_image_roi( ... "rectangle", coords, inverse=inverse_values ... ) Create polygons with varying vertex counts: >>> polygon_coords = [[0, 0, 10, 0, 5, 8], [20, 20, 30, 20, 30, 30, 20, 30]] >>> inverse_values = [False, True] # First outside, second inside >>> roi = create_image_roi( ... "polygon", polygon_coords, inverse=inverse_values ... ) """ # Handle coordinates - try to create numpy array, fall back to list for irregular try: coords = np.array(coords, float) if coords.ndim == 1: coords = coords.reshape(1, -1) coord_list = coords coord_count = len(coords) except ValueError: # Handle irregular case: polygons with varying vertex counts coord_list = [np.array(coord, float) for coord in coords] coord_count = len(coord_list) # Handle inverse parameter - can be single value or list if isinstance(inverse, bool): inverse_values = [inverse] * coord_count else: inverse_values = list(inverse) if len(inverse_values) != coord_count: raise ValueError( f"Number of inverse values ({len(inverse_values)}) must " f"match number of ROIs ({coord_count})" ) roi = ImageROI() if geometry == "rectangle": if isinstance(coord_list, np.ndarray) and coord_list.shape[1] != 4: raise ValueError("Rectangle ROI requires 4 coordinates") for coord_row, inverse_val in zip(coord_list, inverse_values): roi.add_roi(RectangularROI(coord_row, indices, title, inverse_val)) elif geometry == "circle": if isinstance(coord_list, np.ndarray) and coord_list.shape[1] != 3: raise ValueError("Circle ROI requires 3 coordinates") for coord_row, inverse_val in zip(coord_list, inverse_values): roi.add_roi(CircularROI(coord_row, indices, title, inverse_val)) elif geometry == "polygon": if isinstance(coord_list, np.ndarray) and coord_list.shape[1] % 2 != 0: raise ValueError("Polygon ROI requires pairs of X, Y coordinates") for coord_row, inverse_val in zip(coord_list, inverse_values): roi.add_roi(PolygonalROI(coord_row, indices, title, inverse_val)) else: raise ValueError(f"Unknown ROI type: {geometry}") return roi def create_image_roi_around_points( coords: np.ndarray, roi_geometry: sigima.enums.DetectionROIGeometry ) -> ImageROI: """Create ROIs around given point coordinates. Args: coords: Coordinates of points (shape: (n, 2)) roi_geometry: ROI geometry type (rectangle or circle) Returns: ImageROI object containing rectangles or circles around each point Raises: ValueError: If less than 2 points are provided (cannot determine ROI size), or if points are too close together resulting in too small ROI size, or if an invalid ROI geometry is specified. """ assert roi_geometry in ("rectangle", "circle") if coords.size == 0: raise ValueError("No coordinates provided to create ROIs") if coords.ndim != 2 or coords.shape[1] != 2: raise ValueError( f"Coordinates array must have shape (n, 2), got {coords.shape}" ) if coords.shape[0] < 2: raise ValueError( "At least two points are required to automatically determine ROI size" ) # Calculate ROI size based on minimum distance between points dist = sigima.tools.image.distance_matrix(coords) dist_min = dist[dist != 0].min() assert dist_min > 0 if roi_geometry == "rectangle": # For rectangles, account for diagonal to avoid overlap radius = int(0.5 * dist_min / np.sqrt(2) - 1) else: # circle # For circles, use half the minimum distance directly radius = int(0.5 * dist_min - 1) if radius < 1: raise ValueError( "Calculated ROI size is too small. Points may be too close together." ) roi_coords = [] for x, y in coords: if roi_geometry == "rectangle": x0, y0 = x - radius, y - radius dx, dy = 2 * radius, 2 * radius roi_coords.append([x0, y0, dx, dy]) else: # circle roi_coords.append([x, y, radius]) return create_image_roi(roi_geometry, roi_coords, indices=True) Sigima-1.1.1/sigima/objects/scalar/000077500000000000000000000000001514013333200170655ustar00rootroot00000000000000Sigima-1.1.1/sigima/objects/scalar/__init__.py000066400000000000000000000026431514013333200212030ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """ Scalar results subpackage ========================= This subpackage provides classes and functions for handling scalar results in Sigima. The subpackage is split into two main modules: - :mod:`sigima.objects.scalar.table`: Table results and related utilities - :mod:`sigima.objects.scalar.geometry`: Geometry results and related utilities For backward compatibility, all public symbols are re-exported from this __init__.py file, so existing imports like: .. code-block:: python from sigima.objects.scalar import TableResult, GeometryResult continue to work as expected. """ # Import all public symbols from both modules from sigima.objects.scalar.geometry import ( GeometryResult, KindShape, concat_geometries, filter_geometry_by_roi, ) from sigima.objects.scalar.table import ( NO_ROI, ResultHtmlGenerator, TableKind, TableResult, TableResultBuilder, calc_table_from_data, concat_tables, filter_table_by_roi, ) # Define __all__ to specify what gets imported with # "from sigima.objects.scalar import *" __all__ = [ "NO_ROI", "GeometryResult", "KindShape", "ResultHtmlGenerator", "TableKind", "TableResult", "TableResultBuilder", "calc_table_from_data", "concat_geometries", "concat_tables", "filter_geometry_by_roi", "filter_table_by_roi", ] Sigima-1.1.1/sigima/objects/scalar/common.py000066400000000000000000000200541514013333200207300ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """ Common utilities for scalar result objects ========================================== This module provides shared functionality for TableResult and GeometryResult classes without using inheritance or mixins, maintaining their dataclass integrity. """ from __future__ import annotations from typing import TYPE_CHECKING import pandas as pd if TYPE_CHECKING: from sigima.objects import GeometryResult, ImageObj, SignalObj, TableResult # Sentinel value for "full signal/image / no ROI" rows in result tables NO_ROI: int = -1 class DisplayPreferencesManager: """Manages display preferences for result objects.""" @staticmethod def get_display_preferences( result: GeometryResult | TableResult, headers: list[str], attr_name: str = "hidden_headers", ) -> dict[str, bool]: """Get display preferences for headers. Args: result: The result object containing attrs headers: List of header names attr_name: Name of the attribute storing hidden headers Returns: Dictionary mapping header names to visibility (True=visible, False=hidden) """ prefs = {} hidden_headers = result.attrs.get(attr_name, set()) if isinstance(hidden_headers, (list, tuple)): hidden_headers = set(hidden_headers) for header in headers: prefs[header] = header not in hidden_headers return prefs @staticmethod def set_display_preferences( result: GeometryResult | TableResult, preferences: dict[str, bool], headers: list[str], attr_name: str = "hidden_headers", ) -> None: """Set display preferences for headers. Args: result: The result object to modify preferences: Dictionary mapping header names to visibility headers: List of valid header names attr_name: Name of the attribute to store hidden headers """ hidden_headers = { header for header, visible in preferences.items() if not visible and header in headers } if hidden_headers: result.attrs[attr_name] = list(hidden_headers) elif attr_name in result.attrs: del result.attrs[attr_name] @staticmethod def get_visible_headers( result: GeometryResult | TableResult, headers: list[str], attr_name: str = "hidden_headers", ) -> list[str]: """Get list of currently visible headers. Args: result: The result object headers: List of all header names attr_name: Name of the attribute storing hidden headers Returns: List of header names that should be displayed """ prefs = DisplayPreferencesManager.get_display_preferences( result, headers, attr_name ) return [header for header in headers if prefs.get(header, True)] class DataFrameManager: """Manages DataFrame operations for result objects.""" @staticmethod def apply_visible_only_filter( df: pd.DataFrame, visible_headers: list[str] ) -> pd.DataFrame: """Apply visible-only filter to a DataFrame. Args: df: DataFrame to filter visible_headers: List of headers that should be visible Returns: Filtered DataFrame with only visible columns """ # Keep roi_index column if present if "roi_index" in df.columns: visible_headers = ["roi_index"] + visible_headers # Filter to only available visible columns available_headers = [col for col in visible_headers if col in df.columns] if available_headers: return df[available_headers] return df class ResultHtmlGenerator: """Utility class for generating HTML from result objects using composition.""" @staticmethod def generate_html( result: GeometryResult | TableResult, obj: SignalObj | ImageObj | None = None, visible_only: bool = True, transpose_single_row: bool = True, **kwargs, ) -> str: """Generate HTML from a result object. Args: result: The result object (TableResult or GeometryResult) obj: SignalObj or ImageObj for ROI title extraction visible_only: If True, include only visible headers based on display preferences. Default is False. transpose_single_row: If True, transpose the table when there's only one row **kwargs: Additional arguments passed to DataFrame.to_html() Returns: HTML representation of the result """ df = result.to_dataframe(visible_only=visible_only) # Remove roi_index column for display if "roi_index" in df.columns: roi_indices = df["roi_index"].tolist() df = df.drop(columns=["roi_index"]) else: roi_indices = None # Create row headers row_headers = ResultHtmlGenerator._get_row_headers(result, roi_indices, obj) # Transpose if single row and flag is set if transpose_single_row and len(df) == 1: # Transpose the dataframe df_t = df.T df_t.columns = [row_headers[0] if row_headers[0] else "Value"] df_t.index.name = "Item" # Get labels for the transposed view display_labels = list(df.columns) df_t.index = display_labels text = f'{result.title}:' html_kwargs = {"border": 0} html_kwargs.update(kwargs) # Format numeric columns only, avoiding float_format on mixed data types for col in df_t.select_dtypes(include=["number"]).columns: df_t[col] = df_t[col].map(lambda x: f"{x:.3g}" if pd.notna(x) else x) text += df_t.to_html(**html_kwargs) else: # Standard horizontal layout df.index = row_headers text = f'{result.title}:' html_kwargs = {"border": 0} html_kwargs.update(kwargs) # Format numeric columns only, avoiding float_format on mixed data types for col in df.select_dtypes(include=["number"]).columns: df[col] = df[col].map(lambda x: f"{x:.3g}" if pd.notna(x) else x) text += df.to_html(**html_kwargs) return text @staticmethod def _get_row_headers( result: TableResult | GeometryResult, roi_indices: list[int] | None, obj: SignalObj | ImageObj | None, ) -> list[str]: """Create row headers from ROI indices. .. note:: Handles gracefully the case where: - `obj` is None: uses generic "ROI N" headers instead of ROI titles - `roi_indices` reference ROIs that no longer exist in `obj.roi` (e.g., if HTML rendering happens before result recomputation after ROI deletion) """ row_headers = [] if roi_indices is not None: for roi_idx in roi_indices: if roi_idx == NO_ROI: header = "" else: header = f"ROI {roi_idx}" # Try to get ROI title from object if available if obj is not None and obj.roi is not None: # Check if roi_idx is valid (defensive against stale indices) if 0 <= roi_idx < len(obj.roi.single_rois): header = obj.roi.get_single_roi_title(roi_idx) # else: keep default "ROI {roi_idx}" for out-of-bounds indices row_headers.append(header) else: # Need to get DataFrame to know the number of rows df = result.to_dataframe() if "roi_index" in df.columns: df = df.drop(columns=["roi_index"]) row_headers = [""] * len(df) return row_headers Sigima-1.1.1/sigima/objects/scalar/geometry.py000066400000000000000000000554601514013333200213040ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """ Geometry results ================ Geometry results are compute-friendly result containers for geometric outputs. This module defines the `GeometryResult` class and related utilities: - `GeometryResult`: geometric outputs (points, segments, circles, ...) - `KindShape`: enumeration of geometric shape types - Utility functions for geometry operations (concatenation, filtering, etc.) Each result object is a simple data container with no behavior or methods: - It contains the result of a 1-to-0 processing function (e.g. `sigima.proc.image.contour_shape()`), i.e. a computation function that takes a signal or image object (`SignalObj` or `ImageObj`) as input and produces a geometric output (`GeometryResult`). - The result may consist of multiple rows, each corresponding to a different ROI. .. note:: No UI/HTML, no DataLab-specific metadata here. Adapters/formatters live in DataLab. These classes are JSON-friendly via `to_dict()`/`from_dict()`. Conventions ----------- Conventions regarding ROI and geometry are as follows: - ROI indexing: - `NO_ROI = -1` sentinel is used for "full image / no ROI" rows. - Per-ROI rows use non-negative indices (0-based). - Geometry coordinates (physical units): - `"point"` / `"marker"`: `[x, y]` - `"segment"`: `[x0, y0, x1, y1]` - `"rectangle"`: `[x0, y0, width, height]` - `"circle"`: `[x0, y0, radius]` - `"ellipse"`: `[x0, y0, a, b, theta]` # theta in radians - `"polygon"`: `[x0, y0, x1, y1, ..., xn, yn]` (rows may be NaN-padded) """ from __future__ import annotations import dataclasses import enum from typing import TYPE_CHECKING, Iterable import numpy as np import pandas as pd from sigima.objects.base import HTML_TABLE_CSS from sigima.objects.scalar.common import ( NO_ROI, DataFrameManager, DisplayPreferencesManager, ResultHtmlGenerator, ) if TYPE_CHECKING: from sigima.objects import ImageObj, SignalObj class KindShape(str, enum.Enum): """Geometric shape types.""" POINT = "point" SEGMENT = "segment" CIRCLE = "circle" ELLIPSE = "ellipse" RECTANGLE = "rectangle" POLYGON = "polygon" MARKER = "marker" @classmethod def values(cls) -> list[str]: """Return all shape type values.""" return [e.value for e in cls] @dataclasses.dataclass(frozen=True) class GeometryResult: """Geometric outputs, optionally per-ROI. Args: title: Human-readable title for this geometric output set. kind: Shape kind (`KindShape` member or its string value). coords: 2-D array (N, K) with coordinates per row. K depends on `kind` and may be NaN-padded (e.g., for polygons). roi_indices: Optional 1-D array (N,) mapping rows to ROI indices. Use NO_ROI (-1) for the "full signal/image / no ROI" row. func_name: Optional name of the computation function that produced this result. attrs: Optional algorithmic context (e.g. thresholds, method variant). Raises: ValueError: If dimensions are inconsistent or fields are invalid. .. important:: **Coordinate System**: GeometryResult coordinates are stored in **physical units** (e.g., mm, µm), not pixel coordinates. The conversion from pixel to physical coordinates is performed automatically when creating GeometryResult objects from image measurements using :func:`~sigima.proc.image.base.compute_geometry_from_obj`. This ensures that geometric measurements are: * **Scale-independent**: Results remain valid when images are resized * **Physically meaningful**: Measurements have real-world significance * **Consistent**: Same geometric features yield same results across different images .. note:: Coordinate conventions are as follows: - `KindShape.POINT`: `[x, y]` - `KindShape.SEGMENT`: `[x0, y0, x1, y1]` - `KindShape.RECTANGLE`: `[x0, y0, width, height]` - `KindShape.CIRCLE`: `[x0, y0, radius]` - `KindShape.ELLIPSE`: `[x0, y0, a, b, theta]` # theta in radians - `KindShape.POLYGON`: `[x0, y0, x1, y1, ..., xn, yn]` (rows may be NaN-padded) All coordinate values and dimensions (width, height, radius, semi-axes) are expressed in the image's physical units as defined by the image calibration. See Also: :func:`~sigima.proc.image.base.compute_geometry_from_obj`: Function that creates GeometryResult objects with automatic coordinate conversion from pixel to physical units. """ title: str kind: KindShape coords: np.ndarray roi_indices: np.ndarray | None = None func_name: str | None = None attrs: dict[str, object] = dataclasses.field(default_factory=dict) def __post_init__(self) -> None: """Validate fields after initialization.""" # --- kind validation/coercion (smooth migration) --- k = object.__getattribute__(self, "kind") if isinstance(k, str): try: k = KindShape(k) # coerce "ellipse" -> KindShape.ELLIPSE except ValueError as exc: raise ValueError(f"Unsupported geometry kind: {k!r}") from exc object.__setattr__(self, "kind", k) elif not isinstance(k, KindShape): raise ValueError("kind must be a KindShape or its string value") if not isinstance(self.title, str) or not self.title: raise ValueError("title must be a non-empty string") if not isinstance(self.coords, np.ndarray) or self.coords.ndim != 2: raise ValueError("coords must be a 2-D numpy array") if k == KindShape.POINT and self.coords.shape[1] != 2: raise ValueError("coords for 'point' must be (N,2)") if k == KindShape.MARKER and self.coords.shape[1] != 2: raise ValueError("coords for 'marker' must be (N,2)") if k == KindShape.SEGMENT and self.coords.shape[1] != 4: raise ValueError("coords for 'segment' must be (N,4)") if k == KindShape.CIRCLE and self.coords.shape[1] != 3: raise ValueError("coords for 'circle' must be (N,3)") if k == KindShape.ELLIPSE and self.coords.shape[1] != 5: raise ValueError("coords for 'ellipse' must be (N,5)") if k == KindShape.RECTANGLE and self.coords.shape[1] != 4: raise ValueError("coords for 'rectangle' must be (N,4)") if k == KindShape.POLYGON and self.coords.shape[1] % 2 != 0: raise ValueError("coords for 'polygon' must be (N,2M) for M vertices") if self.roi_indices is not None: if ( not isinstance(self.roi_indices, np.ndarray) or self.roi_indices.ndim != 1 ): raise ValueError("roi_indices must be a 1-D numpy array if provided") if len(self.roi_indices) != len(self.coords): raise ValueError("roi_indices length must match number of coord rows") @property def name(self) -> str: """Get the unique identifier name for this geometry result. Returns: The string value of the kind attribute, which serves as a unique name identifier for this geometry result type. """ return self.kind.value @property def value(self) -> float | tuple[float, float]: """Get the value from a single-row POINT, MARKER, or SEGMENT geometry result. This property provides convenient access to computed values: - For POINT: returns (x, y) coordinates as a tuple - For MARKER: returns (x, y) coordinates as a tuple - For SEGMENT: returns the length of the segment as a float Returns: For POINT/MARKER: tuple of (x, y) coordinates For SEGMENT: float length of the segment Raises: ValueError: If the result has multiple rows or is not a POINT, MARKER, or SEGMENT kind Examples: >>> # Get coordinates from x_at_y result (MARKER) >>> result = proxy.compute_x_at_y(p) >>> x, y = result.value # Get both coordinates >>> >>> # Get coordinates from peak detection (POINT) >>> result = proxy.compute_peak_detection(p) >>> x, y = result.value # Get peak coordinates >>> >>> # Get segment length (SEGMENT) >>> result = proxy.compute_fwhm(p) >>> length = result.value # Get FWHM length """ if self.kind not in (KindShape.POINT, KindShape.MARKER, KindShape.SEGMENT): raise ValueError( f"value property only valid for POINT, MARKER, or SEGMENT kinds, " f"got {self.kind}" ) if len(self.coords) != 1: raise ValueError( f"value property only valid for single-row results, " f"got {len(self.coords)} rows" ) if self.kind == KindShape.SEGMENT: return float(self.segments_lengths()[0]) # POINT or MARKER: return (x, y) tuple x, y = self.coords[0] return (float(x), float(y)) # -------- Factory methods -------- @classmethod def from_coords( cls, title: str, kind: KindShape, coords: np.ndarray, roi_indices: np.ndarray | None = None, *, func_name: str | None = None, attrs: dict[str, object] | None = None, ) -> GeometryResult: """Create a GeometryResult from raw data. Args: title: Human-readable title for this geometric output. kind: Shape kind (e.g. "point", "segment"). coords: 2-D array (N, K) with coordinates per row. roi_indices: Optional 1-D array (N,) mapping rows to ROI indices. func_name: Optional name of the computation function. attrs: Optional algorithmic context (e.g. thresholds, method variant). Returns: A GeometryResult instance. """ return cls( title=title, kind=kind, coords=np.asarray(coords, float), roi_indices=None if roi_indices is None else np.asarray(roi_indices, int), func_name=func_name, attrs={} if attrs is None else dict(attrs), ) # -------- JSON-friendly (de)serialization (no DataLab metadata coupling) ----- def to_dict(self) -> dict: """Convert the GeometryResult to a dictionary.""" return { "schema": 1, "title": self.title, "kind": self.kind.value, "coords": self.coords.tolist(), "roi_indices": None if self.roi_indices is None else self.roi_indices.tolist(), "func_name": self.func_name, "attrs": dict(self.attrs) if self.attrs else {}, } @staticmethod def from_dict(d: dict) -> GeometryResult: """Convert a dictionary to a GeometryResult.""" return GeometryResult( title=d["title"], kind=KindShape(d["kind"]), coords=np.asarray(d["coords"], dtype=float), roi_indices=None if d.get("roi_indices") is None else np.asarray(d["roi_indices"], dtype=int), func_name=d.get("func_name"), attrs=dict(d.get("attrs", {})), ) # -------- Pandas DataFrame interop -------- @property def headers(self) -> list[str]: """Get column headers for the coordinates. Returns: List of column headers """ # Create headers based on the shape type kind = self.kind.value # Define headers based on shape type headers_map = { "point": ["x", "y"], "marker": ["x", "y"], "segment": ["x0", "y0", "x1", "y1"], "rectangle": ["x", "y", "width", "height"], "circle": ["x", "y", "r"], "ellipse": ["x", "y", "a", "b", "θ"], } if kind in headers_map: return headers_map[kind] num_coords = self.coords.shape[1] if kind == "polygon": headers = [] for i in range(0, num_coords, 2): headers.extend([f"x{i // 2}", f"y{i // 2}"]) return headers[:num_coords] # Generic headers for unknown shapes return [f"coord_{i}" for i in range(num_coords)] def to_dataframe(self, visible_only: bool = False): """Convert the result to a pandas DataFrame. Args: visible_only: If True, include only visible headers based on display preferences. Default is False. Returns: DataFrame with an optional 'roi_index' column. If visible_only is True, only columns with visible headers are included. """ df = pd.DataFrame(self.coords, columns=self.headers) visible_headers = self.get_visible_headers() # For segments, add a length column if self.kind == KindShape.SEGMENT: lengths = self.segments_lengths() # Name the length column "Δx" if y0 == y1 for all rows, # "Δy" if x0 == x1 for all rows, else "length" if np.allclose(self.coords[:, 1], self.coords[:, 3]): length_name = "Δx" elif np.allclose(self.coords[:, 0], self.coords[:, 2]): length_name = "Δy" else: length_name = "length" df[length_name] = lengths visible_headers = [length_name] # always show length for segments if self.roi_indices is not None: df.insert(0, "roi_index", self.roi_indices) # Filter to visible columns if requested if visible_only: df = DataFrameManager.apply_visible_only_filter(df, visible_headers) return df def get_display_preferences(self) -> dict[str, bool]: """Get display preferences for coordinate headers. Returns: Dictionary mapping header names to visibility (True=visible, False=hidden). By default, all coordinates are visible unless specified in attrs. """ return DisplayPreferencesManager.get_display_preferences( self, self.headers, "hidden_coords" ) def set_display_preferences(self, preferences: dict[str, bool]) -> None: """Set display preferences for coordinate headers. Args: preferences: Dictionary mapping header names to visibility (True=visible, False=hidden) """ DisplayPreferencesManager.set_display_preferences( self, preferences, self.headers, "hidden_coords" ) def get_visible_headers(self) -> list[str]: """Get list of currently visible headers based on display preferences. Returns: List of header names that should be displayed """ return DisplayPreferencesManager.get_visible_headers( self, self.headers, "hidden_coords" ) # -------- User-oriented methods -------- def __len__(self) -> int: """Return the number of coordinates (rows) in the result.""" return self.coords.shape[0] def rows(self, roi: int | None = None) -> np.ndarray: """Return coords for all rows (this ROI or full-image row). Args: roi: Optional ROI index to filter rows. Returns: 2-D array of shape (M, K) with coordinates for the selected rows. """ if self.roi_indices is None: return self.coords target = NO_ROI if roi is None else int(roi) return self.coords[self.roi_indices == target] def bounding_boxes(self) -> np.ndarray: """Return bounding boxes for each shape in the result. Returns: 2-D array of shape (N, 4) with bounding boxes [x_min, y_min, x_max, y_max] for each shape. """ bboxes = [] for row in self.coords: if self.kind in (KindShape.POINT, KindShape.MARKER): x, y = row bbox = [x, y, x, y] elif self.kind == KindShape.SEGMENT: x0, y0, x1, y1 = row bbox = [min(x0, x1), min(y0, y1), max(x0, x1), max(y0, y1)] elif self.kind == KindShape.RECTANGLE: x, y, width, height = row bbox = [x, y, x + width, y + height] elif self.kind == KindShape.CIRCLE: x, y, r = row bbox = [x - r, y - r, x + r, y + r] elif self.kind == KindShape.ELLIPSE: x, y, a, b, _ = row bbox = [x - a, y - b, x + a, y + b] elif self.kind == KindShape.POLYGON: xs = row[0::2] ys = row[1::2] xs = xs[~np.isnan(xs)] ys = ys[~np.isnan(ys)] bbox = [np.min(xs), np.min(ys), np.max(xs), np.max(ys)] else: raise ValueError(f"Unsupported kind for bounding box: {self.kind}") bboxes.append(bbox) return np.array(bboxes) def centers(self) -> np.ndarray: """Return center points for each shape in the result. Returns: 2-D array of shape (N, 2) with center coordinates [x_center, y_center] for each shape. """ # To compute the centers, the most elegant and compact solution is to use the # bounding boxes. bboxes = self.bounding_boxes() x_centers = (bboxes[:, 0] + bboxes[:, 2]) / 2 y_centers = (bboxes[:, 1] + bboxes[:, 3]) / 2 return np.column_stack((x_centers, y_centers)) # Optional convenience for common kinds: def segments_lengths(self) -> np.ndarray: """For kind='segment': return vector of segment lengths.""" if self.kind != KindShape.SEGMENT: raise ValueError("segments_lengths requires kind='segment'") dx = self.coords[:, 2] - self.coords[:, 0] dy = self.coords[:, 3] - self.coords[:, 1] return np.sqrt(dx * dx + dy * dy) def circles_radii(self) -> np.ndarray: """For kind='circle': return radii.""" if self.kind != KindShape.CIRCLE: raise ValueError("circles_radii requires kind='circle'") return self.coords[:, 2] def ellipse_axes_angles(self) -> tuple[np.ndarray, np.ndarray, np.ndarray]: """For kind='ellipse': return (a, b, theta).""" if self.kind != KindShape.ELLIPSE: raise ValueError("ellipse_axes_angles requires kind='ellipse'") return self.coords[:, 2], self.coords[:, 3], self.coords[:, 4] def to_html( self, obj: SignalObj | ImageObj | None = None, visible_only: bool = True, transpose_single_row: bool = True, **kwargs, ) -> str: """Convert the result to HTML format. Args: obj: Optional SignalObj or ImageObj for ROI title extraction visible_only: If True, include only visible headers based on display preferences. transpose_single_row: If True, transpose when there's only one row **kwargs: Additional arguments passed to DataFrame.to_html() Returns: HTML representation of the result """ return ResultHtmlGenerator.generate_html( self, obj, visible_only, transpose_single_row, **kwargs ) def _repr_html_(self) -> str: """Return HTML representation for Jupyter notebook display. This method is automatically called by Jupyter when displaying the object as a cell output, providing a rich HTML rendering of the geometry result. Returns: HTML representation of the geometry result with styling. """ return HTML_TABLE_CSS + self.to_html() # =========================== # Geometry utility functions # =========================== def concat_geometries( title: str, geometries: Iterable[GeometryResult], *, kind: KindShape | None = None, ) -> GeometryResult: """Concatenate multiple GeometryResult objects of the same kind. Args: title: Title for the concatenated result. geometries: Iterable of GeometryResult objects to concatenate. kind: Optional kind label for the concatenated result. Returns: GeometryResult with concatenated data and updated metadata. """ geometries = list(geometries) if not geometries: raise ValueError("Cannot concatenate empty sequence of GeometryResult objects") k = kind if kind is not None else geometries[0].kind if any(geom.kind != k for geom in geometries): raise ValueError( "All GeometryResult objects must share the same kind to concatenate" ) fn = geometries[0].func_name if fn is None: raise ValueError( "All GeometryResult objects must have a func_name to concatenate" ) if any(geom.func_name != fn for geom in geometries): raise ValueError( "All GeometryResult objects must share the same func_name to concatenate" ) max_k = max(geom.coords.shape[1] for geom in geometries) if geometries else 0 # right-pad with NaNs to match width padded = [] for geometry in geometries: c = geometry.coords if c.shape[1] < max_k: pad = np.full((c.shape[0], max_k - c.shape[1]), np.nan, dtype=float) c = np.hstack([c, pad]) padded.append(c) coords = np.vstack(padded) if padded else np.zeros((0, max_k)) if any(it.roi_indices is not None for it in geometries): parts = [ ( it.roi_indices if it.roi_indices is not None else np.full((len(it.coords),), NO_ROI, int) ) for it in geometries ] roi = np.concatenate(parts) if len(parts) else None else: roi = None return GeometryResult( title=title, kind=k, coords=coords, roi_indices=roi, func_name=fn ) def filter_geometry_by_roi(res: GeometryResult, roi: int | None) -> GeometryResult: """Filter shapes by ROI index. If roi is None, keeps NO_ROI rows. Args: res: The GeometryResult to filter. roi: The ROI index to filter by, or None to keep all. Returns: A filtered GeometryResult. """ if res.roi_indices is None: keep_all = roi in (None, NO_ROI) coords = res.coords if keep_all else np.zeros((0, res.coords.shape[1])) indices = None if keep_all else np.zeros((0,), int) return GeometryResult( title=res.title, kind=res.kind, coords=coords, roi_indices=indices, attrs=dict(res.attrs), ) target = NO_ROI if roi is None else int(roi) mask = res.roi_indices == target return GeometryResult( title=res.title, kind=res.kind, coords=res.coords[mask], roi_indices=res.roi_indices[mask], attrs=dict(res.attrs), ) Sigima-1.1.1/sigima/objects/scalar/table.py000066400000000000000000000711371514013333200205370ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """ Table results ============= Table results are compute-friendly result containers for scalar table outputs. This module defines the `TableResult` class and related utilities: - `TableResult`: table of scalar metrics - `TableResultBuilder`: builder for TableResult with fluent interface - Utility functions for table operations (concatenation, filtering, etc.) Each result object is a simple data container with no behavior or methods: - It contains the result of a 1-to-0 processing function (e.g. `sigima.proc.signal.fwhm()`), i.e. a computation function that takes a signal or image object (`SignalObj` or `ImageObj`) as input and produces a scalar output. - The result may consist of multiple rows, each corresponding to a different ROI. .. note:: No UI/HTML, no DataLab-specific metadata here. Adapters/formatters live in DataLab. These classes are JSON-friendly via `to_dict()`/`from_dict()`. Conventions ----------- Conventions regarding ROI indexing: - `NO_ROI = -1` sentinel is used for "full image / no ROI" rows. - Per-ROI rows use non-negative indices (0-based). """ from __future__ import annotations import dataclasses import enum import inspect import os from typing import TYPE_CHECKING, Any, Callable, Iterable, Mapping, Sequence import numpy as np import pandas as pd from sigima.objects.base import HTML_TABLE_CSS from sigima.objects.scalar.common import ( NO_ROI, DataFrameManager, DisplayPreferencesManager, ResultHtmlGenerator, ) if TYPE_CHECKING: from sigima.objects import ImageObj, SignalObj class TableKind(str, enum.Enum): """Types of table results.""" STATISTICS = "statistics" PULSE_FEATURES = "pulse_features" CUSTOM = "results" @classmethod def values(cls) -> list[str]: """Return all table kind values.""" return [e.value for e in cls] @dataclasses.dataclass(frozen=True) class TableResult: """Table of scalar results, optionally per-ROI. Args: title: Human-readable title for this table of results. kind: Type of table result (e.g., TableKind.PULSE_FEATURES, TableKind.STATISTICS). Default is TableKind.CUSTOM. headers: Column names (one per metric). data: 2-D list of shape (N, len(headers)) with scalar values. roi_indices: Optional list (N,) mapping rows to ROI indices. Use NO_ROI (-1) for the "full image / no ROI" row. func_name: Optional name of the computation function that produced this result. attrs: Optional algorithmic context (e.g. thresholds, method variant). Raises: ValueError: If dimensions are inconsistent or fields are invalid. Notes: - No UI/presentation concerns, no persistence schema here. - Use DataLab-side adapters to store results in metadata if needed. """ title: str kind: TableKind | str = TableKind.CUSTOM headers: Sequence[str] = dataclasses.field(default_factory=list) data: list[list] = dataclasses.field(default_factory=list) roi_indices: list[int] | None = None func_name: str | None = None attrs: dict[str, object] = dataclasses.field(default_factory=dict) def __post_init__(self) -> None: """Validate fields after initialization.""" if isinstance(self.kind, str): try: object.__setattr__(self, "kind", TableKind(self.kind)) except ValueError: pass # Allow custom string values that are not in the enum if not isinstance(self.title, str) or not self.title: raise ValueError("title must be a non-empty string") if not isinstance(self.headers, (list, tuple)) or not all( isinstance(c, str) for c in self.headers ): raise ValueError("names must be a sequence of strings") if not isinstance(self.data, list): raise ValueError("data must be a list of lists") if self.data and not isinstance(self.data[0], list): raise ValueError("data must be a list of lists") if self.data and len(self.data[0]) != len(self.headers): raise ValueError("data columns must match names length") if self.roi_indices is not None: if not isinstance(self.roi_indices, list): raise ValueError("roi_indices must be a list if provided") if self.roi_indices and isinstance(self.roi_indices[0], list): raise ValueError("roi_indices must be a list if provided") if len(self.roi_indices) != len(self.data): raise ValueError("roi_indices length must match number of data rows") @property def name(self) -> str: """Get the unique identifier name for this scalar table result. Returns: The string value of the kind attribute, which serves as a unique name identifier for this scalar table result type. """ if isinstance(self.kind, TableKind): return self.kind.value return self.kind def __str__(self) -> str: """Return a string representation of the TableResult.""" df = self.to_dataframe() text = f"TableResult(title={self.title}, kind={self.kind}, shape={df.shape})" text += os.linesep * 2 text += str(df) return text # -------- Factory methods -------- @classmethod def from_rows( cls, title: str, headers: Sequence[str], rows: list[list], roi_indices: list[int] | None = None, *, kind: TableKind | str = TableKind.CUSTOM, func_name: str | None = None, attrs: dict[str, object] | None = None, ) -> TableResult: """Create a TableResult from raw data. Args: title: Human-readable title for this table of results. headers: Column names (one per metric). rows: 2-D list of lists of shape (N, len(headers)) with values. roi_indices: Optional list (N,) mapping rows to ROI indices. Use NO_ROI (-1) for the "full image / no ROI" row. kind: Type of table result (e.g., TableKind.PULSE_FEATURES). func_name: Optional name of the computation function. attrs: Optional algorithmic context (e.g. thresholds, method variant). Returns: A TableResult instance. """ return cls( title=title, kind=kind, headers=headers, data=rows, roi_indices=roi_indices, func_name=func_name, attrs={} if attrs is None else dict(attrs), ) # -------- JSON-friendly (de)serialization (no DataLab metadata coupling) ----- def to_dict(self) -> dict: """Convert the TableResult to a dictionary.""" return { "schema": 1, "title": self.title, "kind": self.kind.value if isinstance(self.kind, TableKind) else self.kind, "names": list(self.headers), "data": self.data, "roi_indices": self.roi_indices, "func_name": self.func_name, "attrs": dict(self.attrs) if self.attrs else {}, } @staticmethod def from_dict(d: dict) -> TableResult: """Convert a dictionary to a TableResult.""" return TableResult( title=d["title"], kind=d.get("kind", TableKind.CUSTOM), headers=list(d["names"]), data=d["data"], roi_indices=d.get("roi_indices"), func_name=d.get("func_name"), attrs=dict(d.get("attrs", {})), ) # -------- Pandas DataFrame interop -------- def to_dataframe(self, visible_only: bool = False): """Convert the result to a pandas DataFrame. Args: visible_only: If True, include only visible headers based on display preferences. Default is False. Returns: DataFrame with an optional 'roi_index' column. If visible_only is True, only columns with visible headers are included. """ df = pd.DataFrame(self.data, columns=self.headers) # Add roi_index column if present if self.roi_indices is not None: df.insert(0, "roi_index", self.roi_indices) # Filter to visible columns if requested if visible_only: visible_headers = self.get_visible_headers() df = DataFrameManager.apply_visible_only_filter(df, visible_headers) return df def get_display_preferences(self) -> dict[str, bool]: """Get display preferences for metrics. Returns: Dictionary mapping header names to visibility (True=visible, False=hidden). By default, all metrics are visible unless specified in attrs. """ return DisplayPreferencesManager.get_display_preferences( self, self.headers, "hidden_metrics" ) def set_display_preferences(self, preferences: dict[str, bool]) -> None: """Set display preferences for metrics. Args: preferences: Dictionary mapping header names to visibility (True=visible, False=hidden) """ DisplayPreferencesManager.set_display_preferences( self, preferences, self.headers, "hidden_metrics" ) def get_visible_headers(self) -> list[str]: """Get list of currently visible headers based on display preferences. Returns: List of header names that should be displayed """ return DisplayPreferencesManager.get_visible_headers( self, self.headers, "hidden_metrics" ) @classmethod def from_dataframe( cls, df, title: str, kind: TableKind | str = TableKind.CUSTOM, attrs: dict = None, ) -> TableResult: """Create a TableResult from a pandas DataFrame. Args: df: pandas DataFrame. If 'roi_index' column is present, it is used for roi_indices. title: Title for the TableResult. kind: Type of table result (e.g., TableKind.PULSE_FEATURES). attrs: Optional dictionary of attributes. Returns: TableResult instance. """ if not isinstance(df, pd.DataFrame): raise TypeError("df must be a pandas DataFrame") cols = list(df.columns) if "roi_index" in cols: roi_indices = df["roi_index"].tolist() names = [c for c in cols if c != "roi_index"] data = df[names].values.tolist() else: roi_indices = None names = cols data = df.values.tolist() if attrs is None: attrs = {} return cls( title=title, kind=kind, headers=names, data=data, roi_indices=roi_indices, attrs=attrs, ) # -------- User-oriented methods -------- def col(self, name: str) -> list: """Return the column vector by name (raises KeyError if missing). Args: name: The name of the column to retrieve. Returns: A list containing the column data. """ try: j = list(self.headers).index(name) except ValueError as exc: raise KeyError(name) from exc return [row[j] for row in self.data] def __getitem__(self, name: str) -> list: """Shorthand for col(name).""" return self.col(name) def __contains__(self, name: str) -> bool: """Check if a column name exists in the table. Args: name: The name of the column to check. Returns: True if the column exists, False otherwise. """ return name in self.headers def __len__(self) -> int: """Return the number of names in the table.""" return len(self.headers) def value(self, name: str, roi: int | None = None) -> float: """Return a single scalar by column name and ROI. Args: name: The name of the column to retrieve. roi: The region of interest (ROI) to filter by (optional). Use None for NO_ROI row. Returns: A single scalar value from the specified column and ROI. """ vec = self.col(name) if self.roi_indices is None: # single row (common in 'full image' stats) if len(vec) != 1: raise ValueError( "Ambiguous selection: multiple rows but no ROI indices" ) return vec[0] target = NO_ROI if roi is None else int(roi) matching_indices = [ i for i, roi_idx in enumerate(self.roi_indices) if roi_idx == target ] if not matching_indices: raise KeyError(f"No row for ROI={target}") if len(matching_indices) != 1: raise ValueError( f"Ambiguous selection: {len(matching_indices)} rows for ROI={target}" ) return vec[matching_indices[0]] def as_dict(self, roi: int | None = None) -> dict[str, Any]: """Return a {column -> value} mapping for one row (ROI or full image). Args: roi: The region of interest (ROI) to filter by (optional). Use None for NO_ROI row. Returns: A dictionary mapping column names to their corresponding values. """ if self.roi_indices is None: if len(self.data) != 1: raise ValueError( "Ambiguous selection: multiple rows but no ROI indices" ) row = self.data[0] else: target = NO_ROI if roi is None else int(roi) matching_indices = [ i for i, roi_idx in enumerate(self.roi_indices) if roi_idx == target ] if not matching_indices: raise KeyError(f"No row for ROI={target}") if len(matching_indices) != 1: raise ValueError( f"Ambiguous selection: {len(matching_indices)} rows for " f"ROI={target}" ) row = self.data[matching_indices[0]] return {name: row[j] for j, name in enumerate(self.headers)} def to_html( self, obj: SignalObj | ImageObj | None = None, visible_only: bool = True, transpose_single_row: bool = True, **kwargs, ) -> str: """Convert the result to HTML format. Args: obj: SignalObj or ImageObj for ROI title extraction visible_only: If True, include only visible headers based on display preferences. transpose_single_row: If True, transpose when there's only one row **kwargs: Additional arguments passed to DataFrame.to_html() Returns: HTML representation of the result """ return ResultHtmlGenerator.generate_html( self, obj, visible_only, transpose_single_row, **kwargs ) def _repr_html_(self) -> str: """Return HTML representation for Jupyter notebook display. This method is automatically called by Jupyter when displaying the object as a cell output, providing a rich HTML rendering of the table result. Returns: HTML representation of the table result with styling. """ return HTML_TABLE_CSS + self.to_html() # -------- Convenience methods for table type identification -------- def is_statistics(self) -> bool: """Check if this is a statistics table.""" return self.kind == TableKind.STATISTICS def is_pulse_features(self) -> bool: """Check if this is a pulse features table.""" return self.kind == TableKind.PULSE_FEATURES def is_custom(self) -> bool: """Check if this is a custom table.""" return self.kind == TableKind.CUSTOM class TableResultBuilder: """Builder for TableResult with fluent interface. Args: title: The title of the table. kind: The type of table result. """ def __init__(self, title: str, kind: TableKind | str = TableKind.CUSTOM) -> None: self.title = title self.kind = kind # We define either a list of column functions, or a single global function # that returns a dataclass instance with float/int fields. self.column_funcs: list[tuple[Callable, str]] = [] self.global_func: Callable | None = None self._hidden_columns: set[str] = set() def set_global_function(self, func: Callable) -> None: """Set a global function that returns a dataclass with float/int fields. Args: func: The function to compute the dataclass instance. """ assert not self.column_funcs, "Cannot mix global and per-column functions" assert isinstance(func, Callable), "Global function must be callable" # Check function signature: sig = inspect.signature(func) if len(sig.parameters) < 1: raise ValueError( "Global function must accept at least one argument (xydata tuple)" ) firstparam = list(sig.parameters.values())[0] if ( firstparam.annotation is not sig.empty and firstparam.annotation != "tuple[np.ndarray, np.ndarray]" ): raise ValueError( "Global function must accept a (np.ndarray, np.ndarray) tuple" ) # Check return type if sig.return_annotation is not sig.empty: ret_type = sig.return_annotation if not dataclasses.is_dataclass(ret_type): raise ValueError("Global function must return a dataclass") self.global_func = func def add(self, func: Callable, name: str) -> None: """Add a column function to the table. Args: func: The function to compute the column values. name: The name of the column. """ assert self.global_func is None, "Cannot mix global and per-column functions" assert isinstance(name, str) and name, "Column name must be a non-empty string" assert isinstance(func, Callable), "Column function must be callable" # Check function signature: sig = inspect.signature(func) if len(sig.parameters) < 1: raise ValueError( f"Column function '{name}' must accept at least one argument" ) first_param = list(sig.parameters.values())[0] if ( first_param.annotation is not sig.empty and first_param.annotation != "np.ndarray" ): raise ValueError(f"Column function '{name}' must accept a np.ndarray") # Check return type if sig.return_annotation is not sig.empty and sig.return_annotation not in ( "float", "int", ): raise ValueError(f"Column function '{name}' must return a float or int") self.column_funcs.append((name, func)) def hide_columns(self, names: list[str]) -> TableResultBuilder: """Mark multiple columns as hidden in the display. Args: names: List of column names to hide. Returns: Self for method chaining. """ self._hidden_columns.update(names) return self @staticmethod def __check_value(value) -> float | str: """Check and convert a value to float or str. Args: value: The value to check. Returns: The value converted to float or str. Raises: ValueError: If the value is not convertible to float or str. """ try: value = float(value) except ValueError as exc: if not isinstance(value, str): raise ValueError(f"Unexpected non-numeric value: {value!r}") from exc return value def __compute_row_from_column_funcs(self, data: np.ndarray) -> list: """Compute a single row using the column functions. Args: data: The input data array. Returns: A list of computed values for the row. """ row_data = [] for _name, func in self.column_funcs: value = func(data) value = self.__check_value(value) row_data.append(value) return row_data def __compute_row_from_dataclass(self, result) -> tuple[list, list]: """Compute a single row using the global function's dataclass result. Args: result: The dataclass instance returned by the global function. Returns: A tuple of (row_data, names). """ row_data = [] names = [] if not dataclasses.is_dataclass(result): raise ValueError("Global function must return a dataclass instance") for field in dataclasses.fields(result): value = getattr(result, field.name) if isinstance(value, (int, float, np.floating, np.integer, enum.Enum, str)): value = self.__check_value(value) else: value = None row_data.append(value) names.append(field.name) return row_data, names def compute(self, obj: SignalObj | ImageObj) -> TableResult: """Extract data from the image or signal object and compute the table. The ROI computation behavior depends on the TableKind: - STATISTICS: Computes results for both the whole object (NO_ROI) and each defined ROI. - PULSE_FEATURES: Computes results ONLY for ROIs if any are defined; otherwise computes for the whole object. This is because pulse features are meaningful only within specific ROI regions when multiple pulses are present. - CUSTOM: Default behavior is same as STATISTICS (whole object + ROIs). Args: obj: The image or signal object to extract data from. Returns: A TableResult object containing the extracted data. """ names = [name for name, _ in self.column_funcs] roi_indices = list(obj.iterate_roi_indices()) # Determine whether to include whole object computation based on TableKind # Convert kind to TableKind enum if it's a string if isinstance(self.kind, str): try: kind_enum = TableKind(self.kind) except ValueError: # If string doesn't match any TableKind, default to CUSTOM behavior kind_enum = TableKind.CUSTOM else: kind_enum = self.kind # Add whole object (None ROI) if: # 1. No ROIs exist, OR # 2. ROIs exist AND kind is not PULSE_FEATURES (which computes only on ROIs) has_rois = roi_indices and roi_indices[0] is not None if not has_rois or kind_enum != TableKind.PULSE_FEATURES: if has_rois: roi_indices.insert(0, None) rows = [] roi_idx = [] for i_roi in roi_indices: data = obj.get_data(i_roi) row_data = [] if self.column_funcs: row_data = self.__compute_row_from_column_funcs(data) elif self.global_func: result = self.global_func(data) row_data, names = self.__compute_row_from_dataclass(result) rows.append(row_data) roi_idx.append(NO_ROI if i_roi is None else int(i_roi)) # Remove columns with all None and/or NaN values if rows and names: valid_cols = [] for j, name in enumerate(names): col_values = [row[j] for row in rows] if any( v is not None and not (isinstance(v, float) and np.isnan(v)) for v in col_values ): valid_cols.append(j) if len(valid_cols) < len(names): names = [names[j] for j in valid_cols] rows = [[row[j] for j in valid_cols] for row in rows] result = TableResult.from_rows( title=self.title, headers=names, rows=rows, roi_indices=roi_idx, kind=self.kind, ) # Apply display preferences if self._hidden_columns: hidden_prefs = {name: name not in self._hidden_columns for name in names} result.set_display_preferences(hidden_prefs) return result # =========================== # Table utility functions # =========================== def calc_table_from_data( title: str, data: np.ndarray, labeledfuncs: Mapping[str, Callable[[np.ndarray], float]], roi_masks: list[np.ndarray] | None = None, kind: TableKind | str = TableKind.CUSTOM, attrs: dict[str, object] | None = None, ) -> TableResult: """Run scalar metrics on a full array or per-ROI masks and return a TableResult. Args: title: Result title. data: N-D array consumed by metric functions. labeledfuncs: Mapping of {label: func}, where func(data_or_masked) -> float. roi_masks: Optional list of boolean masks (same shape as data). If provided, results are computed per mask; otherwise a single full-image row is returned. kind: Type of table result (e.g., TableKind.PULSE_FEATURES). attrs: Optional algorithmic context. Returns: TableResult with rows per ROI mask (or one row if `roi_masks` is None). `roi_indices` will be the mask indices (0..M-1) or NO_ROI for the single row. """ names = list(labeledfuncs.keys()) funcs = list(labeledfuncs.values()) if roi_masks: rows = [] roi_idx = [] for i, m in enumerate(roi_masks): sub = data[m] if (isinstance(m, np.ndarray) and m.dtype == bool) else data rows.append([float(f(sub)) for f in funcs]) roi_idx.append(i) return TableResult( title=title, kind=kind, headers=names, data=rows, roi_indices=roi_idx, attrs={} if attrs is None else dict(attrs), ) # No ROI: single row with NO_ROI sentinel row = [float(f(data)) for f in funcs] return TableResult( title=title, kind=kind, headers=names, data=[row], roi_indices=[NO_ROI], attrs={} if attrs is None else dict(attrs), ) def concat_tables(title: str, items: Iterable[TableResult]) -> TableResult: """Concatenate multiple TableResult objects with identical names. Args: title: Title for the concatenated result. items: Iterable of TableResult objects to concatenate. Returns: TableResult with concatenated data and updated metadata. """ items = list(items) if not items: return TableResult(title=title, headers=[], data=[]) first = items[0] cols = list(first.headers) kind = first.kind for it in items[1:]: if list(it.headers) != cols: raise ValueError( "All TableResult objects must share the same names to concatenate" ) if it.kind != kind: kind = TableKind.CUSTOM # Default to CUSTOM if kinds don't match data = [] for it in items: data.extend(it.data) if any(it.roi_indices is not None for it in items): roi = [] for it in items: if it.roi_indices is not None: roi.extend(it.roi_indices) else: roi.extend([NO_ROI] * len(it.data)) else: roi = None return TableResult(title=title, kind=kind, headers=cols, data=data, roi_indices=roi) def filter_table_by_roi(res: TableResult, roi: int | None) -> TableResult: """Filter rows by ROI index. If roi is None, keeps NO_ROI rows. Args: res: The TableResult to filter. roi: The ROI index to filter by, or None to keep all. Returns: A filtered TableResult. """ if res.roi_indices is None: # No ROI info: either keep all or none depending on request keep_all = roi in (None, NO_ROI) data = res.data if keep_all else [] indices = None if keep_all else [] return TableResult( title=res.title, headers=list(res.headers), data=data, roi_indices=indices, attrs=dict(res.attrs), ) target = NO_ROI if roi is None else int(roi) filtered_data = [] filtered_indices = [] for i, roi_idx in enumerate(res.roi_indices): if roi_idx == target: filtered_data.append(res.data[i]) filtered_indices.append(roi_idx) return TableResult( title=res.title, headers=list(res.headers), data=filtered_data, roi_indices=filtered_indices, attrs=dict(res.attrs), ) Sigima-1.1.1/sigima/objects/shape.py000066400000000000000000000247501514013333200173020ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """ Coordinates objects module ========================== Coordinate objects are 2D geometric entities that are used to represent and manipulate shapes in a two-dimensional space. Coordinates are typically defined in the physical coordinate system (as opposed to the image pixel coordinate system). Geometric transformations, such as translation, rotation, and scaling, can be applied to those objects to manipulate their position and size. Applications ------------ Coordinate objects have two main applications: 1. ROIs (Regions of Interest) for image processing tasks. 2. Geometry results of signal and image processing tasks. In both cases, geometric transformations can be applied to coordinate objects (rotation, translation, horizontal flipping, vertical flipping, transposition, and scaling), in order to apply the same transformation as the one applied to the image or signal data. .. note:: Geometric transformations currently support only the necessary transformations for image processing (not for signal processing). Design choices -------------- Coordinate objects are built around a `data` attribute that holds the characteristics defining the shape in the form of a 1D array: - (x, y) coordinates are stored in a flattened format: (x1, y1, x2, y2, ..., xn, yn) - Point coordinates are represented as (x, y). - Segment coordinates are represented as (x1, y1, x2, y2), where (x1, y1) is the start point and (x2, y2) is the end point. - Rectangle coordinates are represented as (x0, y0, dx, dy), where (x0, y0) is the top-left corner and (dx, dy) are the width and height. - Circle coordinates are represented as (x, y, r), where (x, y) is the center and r is the radius. - Ellipse coordinates are represented as (x, y, a, b), where (x, y) is the center, a is the semi-major axis, and b is the semi-minor axis. - Polygon coordinates are represented as a flattened array of (x, y) pairs: (x1, y1, x2, y2, ..., xn, yn). At construction, the coordinates are validated to ensure they conform to the expected format for each shape type. """ from __future__ import annotations import abc import numpy as np from sigima.objects.base import HTML_TABLE_CSS class BaseCoordinates(abc.ABC): """Base class for 2D coordinates representation of shapes. Args: data: 1D array or list of characteristics defining the shape. """ VALID_SHAPE: tuple[int, int] | None = None # To be defined by subclasses REQUIRES_EVEN_NUMBER_OF_VALUES: bool = False def __init__(self, points: np.ndarray | list[int] | list[float]): self.data = np.array(points, dtype=float) self.validate() def validate(self) -> None: """Validate the coordinates. Raises: ValueError: If the coordinates are invalid. """ if self.data.ndim != 1: raise ValueError( f"Invalid {self.__class__.__name__} coordinates ndim: " f"{self.data.ndim} (expected 1)" ) if self.VALID_SHAPE is not None and self.data.shape != self.VALID_SHAPE: raise ValueError( f"Invalid {self.__class__.__name__} coordinates shape: " f"{self.data.shape} (expected {self.VALID_SHAPE})" ) if self.REQUIRES_EVEN_NUMBER_OF_VALUES and self.data.size % 2 != 0: raise ValueError( f"Invalid {self.__class__.__name__} coordinates: " f"even number of values expected (got {self.data.size})" ) def transform_affine(self, matrix: np.ndarray) -> None: """Apply a 2D affine transformation to the coordinates inplace. Args: matrix: 3x3 affine transformation matrix. """ coords = self.data if coords.size % 2 == 0: pts = coords.reshape(-1, 2) homo = np.c_[pts, np.ones(len(pts))] out = (homo @ matrix.T)[:, :2].reshape(-1) self.data[:] = out else: pts = coords[:2].reshape(1, 2) homo = np.c_[pts, np.ones(1)] out = (homo @ matrix.T)[:, :2].reshape(-1) self.data[:2] = out def copy(self) -> BaseCoordinates: """Return a copy of the coordinate object. Returns: BaseCoordinates: A new object with the same data. """ return self.__class__(self.data.copy()) def rotate(self, angle: float, center: tuple[float, float] = (0, 0)) -> None: """Rotate coordinates by a given angle around a center inplace. Args: angle: Rotation angle in radians (counterclockwise). center: Center of rotation (x, y). Defaults to (0, 0). """ cx, cy = center c, s = np.cos(angle), np.sin(angle) t1 = np.array([[1, 0, -cx], [0, 1, -cy], [0, 0, 1]], float) r = np.array([[c, -s, 0], [s, c, 0], [0, 0, 1]], float) t2 = np.array([[1, 0, cx], [0, 1, cy], [0, 0, 1]], float) matrix = t2 @ r @ t1 self.transform_affine(matrix) def translate(self, dx: float, dy: float) -> None: """Translate coordinates by (dx, dy) inplace. Args: dx: Translation along x-axis. dy: Translation along y-axis. """ matrix = np.array([[1, 0, dx], [0, 1, dy], [0, 0, 1]], float) self.transform_affine(matrix) def fliph(self, cx: float = 0.0) -> None: """Flip coordinates horizontally around a vertical line x=cx inplace. Args: cx: x-coordinate of the vertical axis. Defaults to 0.0. """ matrix = np.array([[-1, 0, 2 * cx], [0, 1, 0], [0, 0, 1]], float) self.transform_affine(matrix) def flipv(self, cy: float = 0.0) -> None: """Flip coordinates vertically around a horizontal line y=cy inplace. Args: cy: y-coordinate of the horizontal axis. Defaults to 0.0. """ matrix = np.array([[1, 0, 0], [0, -1, 2 * cy], [0, 0, 1]], float) self.transform_affine(matrix) def transpose(self) -> None: """Transpose coordinates (swap x and y) inplace.""" matrix = np.array([[0, 1, 0], [1, 0, 0], [0, 0, 1]], float) self.transform_affine(matrix) def scale(self, sx: float, sy: float, center: tuple[float, float] = (0, 0)) -> None: """Scale coordinates by (sx, sy) around a center inplace. Args: sx: Scaling factor along x-axis. sy: Scaling factor along y-axis. center: Center of scaling (x, y). Defaults to (0, 0). """ cx, cy = center t1 = np.array([[1, 0, -cx], [0, 1, -cy], [0, 0, 1]], float) s = np.array([[sx, 0, 0], [0, sy, 0], [0, 0, 1]], float) t2 = np.array([[1, 0, cx], [0, 1, cy], [0, 0, 1]], float) matrix = t2 @ s @ t1 self.transform_affine(matrix) def _repr_html_(self) -> str: """Return HTML representation for Jupyter notebooks.""" coord_type = type(self).__name__ # Format the data array nicely if self.data.size <= 10: data_str = ", ".join(f"{v:.4g}" for v in self.data) else: first = ", ".join(f"{v:.4g}" for v in self.data[:5]) last = ", ".join(f"{v:.4g}" for v in self.data[-5:]) data_str = f"{first}, ..., {last}" html = f""" {HTML_TABLE_CSS}
{coord_type}
PropertyValue
Size{self.data.size} values
Data[{data_str}]
""" return html class PointCoordinates(BaseCoordinates): """Class for point coordinates. Args: data: 1D array point coordinates (x, y). """ VALID_SHAPE = (2,) class SegmentCoordinates(BaseCoordinates): """Class for segment coordinates. Args: data: 1D array point coordinates (x1, y1, x2, y2). """ VALID_SHAPE = (4,) class RectangleCoordinates(BaseCoordinates): """Class for a rectangle coordinates. Args: data: 1D array point coordinates (x0, y0, dx, dy). """ VALID_SHAPE = (4,) def transform_affine(self, matrix: np.ndarray) -> None: """ Apply 2D affine transformation to rectangle coordinates. For rectangles in (x0, y0, dx, dy) format, we transform the corner points and then convert back to (x0, y0, dx, dy) format. Args: matrix: 3x3 affine transformation matrix. """ x0, y0, dx, dy = self.data # Convert to corner coordinates x1, y1 = x0, y0 x2, y2 = x0 + dx, y0 + dy # Transform both corners corners = np.array([[x1, y1], [x2, y2]]) homo = np.c_[corners, np.ones(2)] transformed = (homo @ matrix.T)[:, :2] # Get the new bounding box x_min, y_min = transformed.min(axis=0) x_max, y_max = transformed.max(axis=0) # Update data with new (x0, y0, dx, dy) self.data[:] = [x_min, y_min, x_max - x_min, y_max - y_min] def rotate(self, angle: float, center: tuple[float, float] = (0, 0)) -> None: """Rotate rectangle by a given angle around a center. For rectangles, rotation may change the bounding box, so we transform all corners and compute the new axis-aligned bounding rectangle. Args: angle: Rotation angle in radians (counterclockwise). center: Center of rotation (x, y). Defaults to (0, 0). """ cx, cy = center c, s = np.cos(angle), np.sin(angle) t1 = np.array([[1, 0, -cx], [0, 1, -cy], [0, 0, 1]], float) r = np.array([[c, -s, 0], [s, c, 0], [0, 0, 1]], float) t2 = np.array([[1, 0, cx], [0, 1, cy], [0, 0, 1]], float) matrix = t2 @ r @ t1 self.transform_affine(matrix) class CircleCoordinates(BaseCoordinates): """Class for a circle coordinates. Args: data: 1D array point coordinates (x, y, r). """ VALID_SHAPE = (3,) class EllipseCoordinates(BaseCoordinates): """Class for an ellipse coordinates. Args: data: 1D array point coordinates (x, y, a, b). """ VALID_SHAPE = (4,) class PolygonCoordinates(BaseCoordinates): """Class for a polygon coordinates. Args: data: 1D array point coordinates (x1, y1, x2, y2, ..., xn, yn). """ VALID_SHAPE = None REQUIRES_EVEN_NUMBER_OF_VALUES = True Sigima-1.1.1/sigima/objects/signal/000077500000000000000000000000001514013333200170755ustar00rootroot00000000000000Sigima-1.1.1/sigima/objects/signal/__init__.py000066400000000000000000000062221514013333200212100ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """ Signal objects subpackage ========================= This subpackage provides signal data structures and utilities. The subpackage is organized into the following modules: - `roi`: Region of Interest (ROI) classes and parameters for 1D signals - `object`: Main SignalObj class for handling 1D signal data - `creation`: Signal creation utilities and parameter classes All classes and functions are re-exported at the subpackage level for backward compatibility. Existing imports like `from sigima.objects.signal import SignalObj` will continue to work. """ # Import all public classes and functions from submodules from .creation import ( # Constants DEFAULT_TITLE, # Mathematical function parameter classes BaseGaussLorentzVoigtParam, BasePeriodicParam, BasePulseParam, CosineParam, CustomSignalParam, # Pulse signal classes ExpectedFeatures, ExponentialParam, FeatureTolerances, # Periodic function parameter classes FreqUnits, GaussParam, # Other signal types LinearChirpParam, LogisticParam, LorentzParam, # Base parameter classes NewSignalParam, NormalDistribution1DParam, PlanckParam, PoissonDistribution1DParam, # Polynomial and custom signals PolyParam, PulseParam, SawtoothParam, # Enums SignalTypes, SincParam, SineParam, SquareParam, SquarePulseParam, StepParam, StepPulseParam, TriangleParam, UniformDistribution1DParam, VoigtParam, # Distribution parameter classes ZeroParam, check_all_signal_parameters_classes, # Core creation functions create_signal, create_signal_from_param, # Factory and utility functions create_signal_parameters, get_next_signal_number, # Registration functions register_signal_parameters_class, triangle_func, ) from .object import ( # Main signal class SignalObj, ) from .roi import ( # ROI classes ROI1DParam, SegmentROI, SignalROI, # ROI functions create_signal_roi, ) # Define __all__ for explicit public API __all__ = [ "DEFAULT_TITLE", "BaseGaussLorentzVoigtParam", "BasePeriodicParam", "BasePulseParam", "CosineParam", "CustomSignalParam", "ExpectedFeatures", "ExponentialParam", "FeatureTolerances", "FreqUnits", "GaussParam", "LinearChirpParam", "LogisticParam", "LorentzParam", "NewSignalParam", "NormalDistribution1DParam", "PlanckParam", "PoissonDistribution1DParam", "PolyParam", "PulseParam", "ROI1DParam", "SawtoothParam", "SegmentROI", "SignalObj", "SignalROI", "SignalTypes", "SincParam", "SineParam", "SquareParam", "SquarePulseParam", "StepParam", "StepPulseParam", "TriangleParam", "UniformDistribution1DParam", "VoigtParam", "ZeroParam", "check_all_signal_parameters_classes", "create_signal", "create_signal_from_param", "create_signal_parameters", "create_signal_roi", "get_next_signal_number", "register_signal_parameters_class", "triangle_func", ] Sigima-1.1.1/sigima/objects/signal/constants.py000066400000000000000000000016201514013333200214620ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """ Signal I/O constants - especially for datetime metadata handling """ # Datetime metadata keys # These keys are used to store datetime-related information in SignalObj.metadata DATETIME_X_KEY = "x_datetime" # Boolean: True if x represents datetime data DATETIME_X_FORMAT_KEY = "x_datetime_format" # String: format for display # Time unit conversion factors (to seconds) # Used to convert datetime values to float timestamps TIME_UNIT_FACTORS = { "ns": 1e-9, # nanoseconds "us": 1e-6, # microseconds "ms": 1e-3, # milliseconds "s": 1.0, # seconds (base unit) "min": 60.0, # minutes "h": 3600.0, # hours } # Valid time units (ordered from smallest to largest) VALID_TIME_UNITS = list(TIME_UNIT_FACTORS.keys()) # Default datetime format string DEFAULT_DATETIME_FORMAT = "%Y-%m-%d %H:%M:%S" Sigima-1.1.1/sigima/objects/signal/creation.py000066400000000000000000001336561514013333200212710ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """ Signal creation utilities ======================== This module provides functions and parameter classes for creating new signals. The module includes: - `create_signal_from_param`: Factory function for creating SignalObj instances from parameters - `SignalTypes`: Enumeration of supported signal generation types - `NewSignalParam` and subclasses: Parameter classes for signal generation - Factory functions and registration utilities These utilities support creating signals from various sources: - Synthetic data (zeros, random distributions, analytical functions) - Periodic functions (sine, cosine, square, etc.) - Step functions, chirps, pulses - Custom user-defined signals """ # pylint: disable=invalid-name # Allows short reference names like x, y, ... # pylint: disable=duplicate-code from __future__ import annotations import enum from dataclasses import dataclass from typing import Literal, Type import guidata.dataset as gds import numpy as np import scipy.constants import scipy.signal as sps from sigima.config import _ from sigima.enums import SignalShape from sigima.objects import base from sigima.objects.signal.object import SignalObj from sigima.tools.signal.pulse import GaussianModel, LorentzianModel, VoigtModel def create_signal( title: str, x: np.ndarray | None = None, y: np.ndarray | None = None, dx: np.ndarray | None = None, dy: np.ndarray | None = None, metadata: dict | None = None, units: tuple[str, str] | None = None, labels: tuple[str, str] | None = None, ) -> SignalObj: """Create a new Signal object. Args: title: signal title x: X data y: Y data dx: dX data (optional: error bars) dy: dY data (optional: error bars) metadata: signal metadata units: X, Y units (tuple of strings) labels: X, Y labels (tuple of strings) Returns: Signal object """ assert isinstance(title, str) signal = SignalObj(title=title) signal.title = title signal.set_xydata(x, y, dx=dx, dy=dy) if units is not None: signal.xunit, signal.yunit = units if labels is not None: signal.xlabel, signal.ylabel = labels if metadata is not None: signal.metadata.update(metadata) return signal class SignalTypes(gds.LabeledEnum): """Signal types""" #: Signal filled with zero ZERO = "zero", _("Zero") #: Random signal (normal distribution) NORMAL_DISTRIBUTION = "normal_distribution", _("Normal distribution") #: Random signal (Poisson distribution) POISSON_DISTRIBUTION = "poisson_distribution", _("Poisson distribution") #: Random signal (uniform distribution) UNIFORM_DISTRIBUTION = "uniform_distribution", _("Uniform distribution") #: Gaussian function GAUSS = "gauss", _("Gaussian") #: Lorentzian function LORENTZ = "lorentz", _("Lorentzian") #: Voigt function VOIGT = "voigt", _("Voigt") #: Planck function PLANCK = "planck", _("Blackbody (Planck)") #: Sinusoid SINE = "sine", _("Sine") #: Cosinusoid COSINE = "cosine", _("Cosine") #: Sawtooth function SAWTOOTH = "sawtooth", _("Sawtooth") #: Triangle function TRIANGLE = "triangle", _("Triangle") #: Square function SQUARE = "square", _("Square") #: Cardinal sine SINC = "sinc", _("Cardinal sine") #: Linear chirp LINEARCHIRP = "linearchirp", _("Linear chirp") #: Step function STEP = "step", _("Step") #: Exponential function EXPONENTIAL = "exponential", _("Exponential") #: Logistic function LOGISTIC = "logistic", _("Logistic") #: Pulse function PULSE = "pulse", _("Pulse") #: Step pulse function (with configurable rise time) STEP_PULSE = "step_pulse", _("Step pulse") #: Square pulse function (with configurable rise/fall times) SQUARE_PULSE = "square_pulse", _("Square pulse") #: Polynomial function POLYNOMIAL = "polynomial", _("Polynomial") #: Custom function CUSTOM = "custom", _("Custom") DEFAULT_TITLE = _("Untitled signal") class NewSignalParam(gds.DataSet): """New signal dataset. Subclasses can optionally implement a ``generate_title()`` method to provide automatic title generation based on their parameters. This method should return a string containing the generated title, or an empty string if no title can be generated. Example:: def generate_title(self) -> str: '''Generate a title based on current parameters.''' return f"MySignal(param1={self.param1},param2={self.param2})" """ title = gds.StringItem(_("Title"), default=DEFAULT_TITLE) size = gds.IntItem( _("Npoints"), help=_("Total number of points in the signal"), min=1, default=500, ) xmin = gds.FloatItem("xmin", default=-10.0) xmax = gds.FloatItem("xmax", default=10.0).set_prop("display", col=1) xlabel = gds.StringItem(_("X label"), default="") xunit = gds.StringItem(_("X unit"), default="").set_prop("display", col=1) ylabel = gds.StringItem(_("Y label"), default="") yunit = gds.StringItem(_("Y unit"), default="").set_prop("display", col=1) # As it is the last item of the dataset, the separator will be hidden if no other # items are present after it (i.e. when derived classes do not add any new items # or when the NewSignalParam class is used alone). sep = gds.SeparatorItem() def generate_x_data(self) -> np.ndarray: """Generate x data based on current parameters.""" return np.linspace(self.xmin, self.xmax, self.size) def generate_1d_data(self) -> tuple[np.ndarray, np.ndarray]: """Compute 1D data based on current parameters. Returns: Tuple of (x, y) arrays """ return self.generate_x_data(), np.zeros(self.size) SIGNAL_TYPE_PARAM_CLASSES = {} def register_signal_parameters_class(stype: SignalTypes, param_class) -> None: """Register a parameters class for a given signal type. Args: stype: signal type param_class: parameters class """ SIGNAL_TYPE_PARAM_CLASSES[stype] = param_class def __get_signal_parameters_class(stype: SignalTypes) -> Type[NewSignalParam]: """Get parameters class for a given signal type. Args: stype: signal type Returns: Parameters class Raises: ValueError: if no parameters class is registered for the given signal type """ try: return SIGNAL_TYPE_PARAM_CLASSES[stype] except KeyError as exc: raise ValueError( f"Image type {stype} has no parameters class registered" ) from exc def check_all_signal_parameters_classes() -> None: """Check all registered parameters classes.""" for stype, param_class in SIGNAL_TYPE_PARAM_CLASSES.items(): assert __get_signal_parameters_class(stype) is param_class def create_signal_parameters( stype: SignalTypes, title: str | None = None, size: int | None = None, xmin: float | None = None, xmax: float | None = None, xlabel: str | None = None, ylabel: str | None = None, xunit: str | None = None, yunit: str | None = None, **kwargs: dict, ) -> NewSignalParam: """Create parameters for a given signal type. Args: stype: signal type title: signal title size: signal size (number of points) xmin: minimum x value xmax: maximum x value xlabel: x axis label ylabel: y axis label xunit: x axis unit yunit: y axis unit **kwargs: additional parameters (specific to the signal type) Returns: Parameters object for the given signal type """ pclass = __get_signal_parameters_class(stype) p = pclass.create(**kwargs) if title is not None: p.title = title if size is not None: p.size = size if xmin is not None: p.xmin = xmin if xmax is not None: p.xmax = xmax if xlabel is not None: p.xlabel = xlabel if ylabel is not None: p.ylabel = ylabel if xunit is not None: p.xunit = xunit if yunit is not None: p.yunit = yunit return p class ZeroParam(NewSignalParam, title=_("Zero")): """Parameters for zero signal.""" def generate_1d_data(self) -> tuple[np.ndarray, np.ndarray]: """Compute 1D data based on current parameters. Returns: Tuple of (x, y) arrays. """ x = self.generate_x_data() return x, np.zeros_like(x) register_signal_parameters_class(SignalTypes.ZERO, ZeroParam) class UniformDistribution1DParam( NewSignalParam, base.UniformDistributionParam, title=_("Uniform distribution") ): """Uniform-distribution signal parameters.""" def generate_1d_data(self) -> tuple[np.ndarray, np.ndarray]: """Compute 1D data based on current parameters. Returns: Tuple of (x, y) arrays. """ x = self.generate_x_data() rng = np.random.default_rng(self.seed) assert self.vmin is not None assert self.vmax is not None y = self.vmin + rng.random(len(x)) * (self.vmax - self.vmin) return x, y register_signal_parameters_class( SignalTypes.UNIFORM_DISTRIBUTION, UniformDistribution1DParam ) class NormalDistribution1DParam( NewSignalParam, base.NormalDistributionParam, title=_("Normal distribution") ): """Normal-distribution signal parameters.""" def generate_1d_data(self) -> tuple[np.ndarray, np.ndarray]: """Compute 1D data based on current parameters. Returns: Tuple of (x, y) arrays. """ x = self.generate_x_data() rng = np.random.default_rng(self.seed) assert self.mu is not None assert self.sigma is not None y = rng.normal(self.mu, self.sigma, len(x)) return x, y register_signal_parameters_class( SignalTypes.NORMAL_DISTRIBUTION, NormalDistribution1DParam ) class PoissonDistribution1DParam( NewSignalParam, base.PoissonDistributionParam, title=_("Poisson distribution") ): """Poisson-distribution signal parameters.""" def generate_1d_data(self) -> tuple[np.ndarray, np.ndarray]: """Compute 1D data based on current parameters. Returns: Tuple of (x, y) arrays. """ x = self.generate_x_data() rng = np.random.default_rng(self.seed) assert self.lam is not None y = rng.poisson(lam=self.lam, size=len(x)) return x, y register_signal_parameters_class( SignalTypes.POISSON_DISTRIBUTION, PoissonDistribution1DParam ) class BaseGaussLorentzVoigtParam(NewSignalParam): """Base parameters for Gaussian, Lorentzian and Voigt functions""" STYPE: Type[SignalTypes] | None = None a = gds.FloatItem("A", default=1.0) y0 = gds.FloatItem("y0", default=0.0).set_pos(col=1) sigma = gds.FloatItem("σ", default=1.0) mu = gds.FloatItem("μ", default=0.0).set_pos(col=1) def generate_title(self) -> str: """Generate a title based on current parameters.""" assert isinstance(self.STYPE, SignalTypes) return ( f"{self.STYPE.name.lower()}(A={self.a:.3g},σ={self.sigma:.3g}," f"μ={self.mu:.3g},y0={self.y0:.3g})" ) def generate_1d_data(self) -> tuple[np.ndarray, np.ndarray]: """Compute 1D data based on current parameters. Returns: Tuple of (x, y) arrays """ x = self.generate_x_data() func = { SignalTypes.GAUSS: GaussianModel.func, SignalTypes.LORENTZ: LorentzianModel.func, SignalTypes.VOIGT: VoigtModel.func, }[self.STYPE] y = func(x, self.a, self.sigma, self.mu, self.y0) return x, y def get_expected_features( self, start_ratio: float = 0.1, stop_ratio: float = 0.9 ) -> ExpectedFeatures: """Calculate expected pulse features for this signal. Args: start_ratio: Start ratio for rise time calculation stop_ratio: Stop ratio for rise time calculation Returns: ExpectedFeatures dataclass with all expected values """ if self.a is None or self.sigma is None: raise ValueError("Parameters 'a' and 'sigma' must be set") if self.a == 0 or self.sigma <= 0: raise ValueError("Parameter 'a' must be non-zero and 'sigma' positive") polarity = 1 if self.a > 0 else -1 # For Gaussian: peak amplitude is a / (sigma * sqrt(2*pi)) # This gives the actual maximum value of the Gaussian function amplitude = abs(self.a) / (self.sigma * np.sqrt(2 * np.pi)) if self.STYPE == SignalTypes.GAUSS: # Gaussian rise time: t_r = 2.563 * sigma (10% to 90%) rise_time = 2.563 * self.sigma elif self.STYPE == SignalTypes.LORENTZ: # Lorentzian rise time: 2*sigma*sqrt(1/start_ratio - 1/stop_ratio) rise_time = 2 * self.sigma * np.sqrt(1 / start_ratio - 1 / stop_ratio) elif self.STYPE == SignalTypes.VOIGT: # Voigt rise time: approximate as Gaussian for simplicity rise_time = 2.563 * self.sigma else: raise ValueError(f"Unsupported signal type: {self.STYPE}") # For Gaussian signals centered at mu x_center = self.mu if self.mu is not None else 0.0 # Gaussian-specific calculations if self.STYPE == SignalTypes.GAUSS: # Time at 50% amplitude (FWHM calculation) fwhm = 2.355 * self.sigma # Full Width at Half Maximum for Gaussian # x50 is the 50% crossing on the rise (left side of peak) x50 = x_center - self.sigma * np.sqrt(-2 * np.log(0.5)) # ~0.833σ # Rise time from left 20% to left 80% (one-sided) # For amplitude ratios: x = mu ± sigma * sqrt(-2 * ln(ratio)) t_20_left = x_center - self.sigma * np.sqrt(-2 * np.log(0.2)) # ~1.794σ t_80_left = x_center - self.sigma * np.sqrt(-2 * np.log(0.8)) # ~0.668σ actual_rise_time = abs(t_80_left - t_20_left) # Fall time (symmetric for Gaussian) fall_time = actual_rise_time # Foot duration: For Gaussian, use approximation based on sigma # Since Gaussian has no true flat foot, this is an approximation foot_duration = 1.5 * self.sigma # Empirically derived approximation else: # For Lorentzian and Voigt, use approximations x50 = x_center actual_rise_time = rise_time # Use calculated rise_time fall_time = rise_time if self.STYPE == SignalTypes.LORENTZ: fwhm = 2 * self.sigma else: fwhm = 2.355 * self.sigma foot_duration = 2 * self.sigma # Approximation return ExpectedFeatures( signal_shape=SignalShape.SQUARE, polarity=polarity, amplitude=amplitude, rise_time=actual_rise_time, offset=self.y0 if self.y0 is not None else 0.0, x50=x50, x100=x_center, # Maximum is at center for Gaussian foot_duration=foot_duration, fall_time=fall_time, fwhm=fwhm, ) def get_feature_tolerances(self) -> FeatureTolerances: """Get absolute tolerance values for pulse feature validation. Returns: FeatureTolerances dataclass with adjusted tolerances for Gaussian signals """ # Gaussian signals may need slightly more relaxed tolerances due to smoothness return FeatureTolerances( rise_time=0.3, # Slightly higher tolerance for Gaussian rise time fall_time=0.3, # Match rise time tolerance x100=0.1, # Tighter tolerance for maximum position (should be exact) fwhm=0.2, # Reasonable tolerance for FWHM ) def get_crossing_time(self, edge: Literal["rise", "fall"], ratio: float) -> float: """Get the theoretical crossing time for the specified edge and ratio. Args: edge: Which edge to calculate ("rise" or "fall") ratio: Crossing ratio (0.0 to 1.0) Returns: Theoretical crossing time for the specified edge and ratio """ if self.a is None or self.sigma is None or self.mu is None: raise ValueError("Parameters 'a', 'sigma', and 'mu' must be set") if self.a == 0 or self.sigma <= 0: raise ValueError("Parameter 'a' must be non-zero and 'sigma' positive") if not 0.0 < ratio < 1.0: raise ValueError("Ratio must be between 0.0 and 1.0") if self.STYPE != SignalTypes.GAUSS: raise NotImplementedError( "Crossing time calculation is only implemented for Gaussian signals" ) # For Gaussian: x = mu ± sigma * sqrt(-2 * ln(ratio)) delta_x = self.sigma * np.sqrt(-2 * np.log(ratio)) if edge == "rise": return self.mu - delta_x if edge == "fall": return self.mu + delta_x raise ValueError("Edge must be 'rise' or 'fall'") class GaussParam( BaseGaussLorentzVoigtParam, title=_("Gaussian"), comment="y = y0 + " "A/(σ √(2π)) exp(-((x - μ)2) / (2 σ2))", ): """Parameters for Gaussian function.""" STYPE = SignalTypes.GAUSS register_signal_parameters_class(SignalTypes.GAUSS, GaussParam) class LorentzParam( BaseGaussLorentzVoigtParam, title=_("Lorentzian"), comment="y = y0 + A/(π σ (1 + ((x - μ)/σ)2))", ): """Parameters for Lorentzian function.""" STYPE = SignalTypes.LORENTZ register_signal_parameters_class(SignalTypes.LORENTZ, LorentzParam) class VoigtParam( BaseGaussLorentzVoigtParam, title=_("Voigt"), comment="y = y0 + " "A Re[exp(-z2) erfc(-j z)] / (σ √(2π)), " "with z = (x - μ - j σ) / (σ √2)", ): """Parameters for Voigt function.""" STYPE = SignalTypes.VOIGT register_signal_parameters_class(SignalTypes.VOIGT, VoigtParam) class PlanckParam( NewSignalParam, title=_("Blackbody (Planck)"), comment="y = (2 h c2) / " "(λ5 (exp(h c / (λ kB T)) - 1))", ): """Planck radiation law.""" xmin = gds.FloatItem( "λmin", default=1e-7, unit="m", min=0.0, nonzero=True ) xmax = gds.FloatItem( "λmax", default=1e-4, unit="m", min=0.0, nonzero=True ).set_prop("display", col=1) T = gds.FloatItem( "T", default=293.0, unit="K", min=0.0, nonzero=True, help=_("Temperature") ) def generate_title(self) -> str: """Generate a title based on current parameters. Returns: Title string. """ return f"planck(T={self.T:.3g}K)" @classmethod def func(cls, wavelength: np.ndarray, temperature: float) -> np.ndarray: """Compute the Planck function. Args: wavelength: Wavelength (m). T: Temperature (K). Returns: Spectral radiance (W m-2 sr-1 Hz-1). """ h = scipy.constants.h # Planck constant (J·s) c = scipy.constants.c # Speed of light (m/s) k = scipy.constants.k # Boltzmann constant (J/K) c1 = 2 * h * c**2 c2 = (h * c) / k denom = np.exp(c2 / (wavelength * temperature)) - 1.0 spectral_radiance = c1 / (wavelength**5 * (denom)) return spectral_radiance def generate_1d_data(self) -> tuple[np.ndarray, np.ndarray]: """Compute 1D data based on current parameters. Returns: Tuple of (wavelength, spectral radiance) arrays. """ wavelength = self.generate_x_data() assert self.T is not None y = self.func(wavelength, self.T) return wavelength, y register_signal_parameters_class(SignalTypes.PLANCK, PlanckParam) class FreqUnits(enum.Enum): """Frequency units""" HZ = "Hz" KHZ = "kHz" MHZ = "MHz" GHZ = "GHz" @classmethod def convert_in_hz(cls, value, unit): """Convert value in Hz""" factor = {cls.HZ: 1, cls.KHZ: 1e3, cls.MHZ: 1e6, cls.GHZ: 1e9}.get(unit) if factor is None: raise ValueError(f"Unknown unit: {unit}") return value * factor class BasePeriodicParam(NewSignalParam): """Parameters for periodic functions""" STYPE: Type[SignalTypes] | None = None def get_frequency_in_hz(self): """Return frequency in Hz""" return FreqUnits.convert_in_hz(self.freq, self.freq_unit) # Redefining some parameters with more appropriate defaults xunit = gds.StringItem(_("X unit"), default="s") a = gds.FloatItem("A", default=1.0) offset = gds.FloatItem("y0", default=0.0).set_pos(col=1) freq = gds.FloatItem("f", default=1.0) freq_unit = gds.ChoiceItem(_("Unit"), FreqUnits, default=FreqUnits.HZ).set_pos( col=1 ) phase = gds.FloatItem("φ", default=0.0, unit="°") def generate_title(self) -> str: """Generate a title based on current parameters.""" assert isinstance(self.STYPE, SignalTypes) freq_hz = self.get_frequency_in_hz() title = ( f"{self.STYPE.name.lower()}(f={freq_hz:.3g}Hz," f"A={self.a:.3g},y0={self.offset:.3g},φ={self.phase:.3g}°)" ) return title def generate_1d_data(self) -> tuple[np.ndarray, np.ndarray]: """Compute 1D data based on current parameters. Returns: Tuple of (x, y) arrays """ x = self.generate_x_data() func = { SignalTypes.SINE: np.sin, SignalTypes.COSINE: np.cos, SignalTypes.SAWTOOTH: sps.sawtooth, SignalTypes.TRIANGLE: triangle_func, SignalTypes.SQUARE: sps.square, SignalTypes.SINC: np.sinc, }[self.STYPE] freq = self.get_frequency_in_hz() y = self.a * func(2 * np.pi * freq * x + np.deg2rad(self.phase)) + self.offset return x, y class SineParam( BasePeriodicParam, title=_("Sine"), comment="y = y0 + A sin(2π f x + φ)" ): """Parameters for sine function.""" STYPE = SignalTypes.SINE register_signal_parameters_class(SignalTypes.SINE, SineParam) class CosineParam( BasePeriodicParam, title=_("Cosine"), comment="y = y0 + A cos(2π f x + φ)", ): """Parameters for cosine function.""" STYPE = SignalTypes.COSINE register_signal_parameters_class(SignalTypes.COSINE, CosineParam) class SawtoothParam( BasePeriodicParam, title=_("Sawtooth"), comment="y = y0 + A (2 (f x + φ/(2π) - |f x + φ/(2π) + 1/2|))", ): """Parameters for sawtooth function.""" STYPE = SignalTypes.SAWTOOTH register_signal_parameters_class(SignalTypes.SAWTOOTH, SawtoothParam) class TriangleParam( BasePeriodicParam, title=_("Triangle"), comment="y = y0 + A sawtooth(2π f x + φ, width=0.5)", ): """Parameters for triangle function.""" STYPE = SignalTypes.TRIANGLE register_signal_parameters_class(SignalTypes.TRIANGLE, TriangleParam) class SquareParam( BasePeriodicParam, title=_("Square"), comment="y = y0 + A sgn(sin(2π f x + φ))", ): """Parameters for square function.""" STYPE = SignalTypes.SQUARE register_signal_parameters_class(SignalTypes.SQUARE, SquareParam) class SincParam( BasePeriodicParam, title=_("Cardinal sine"), comment="y = y0 + A sinc(f x + φ)", ): """Parameters for cardinal sine function.""" STYPE = SignalTypes.SINC register_signal_parameters_class(SignalTypes.SINC, SincParam) class LinearChirpParam( NewSignalParam, title=_("Linear chirp"), comment="y = y0 + a sin(φ0 " "+ 2π (f0 x + 0.5 k x²))", ): """Linear chirp function.""" a = gds.FloatItem("A", default=1.0, help=_("Amplitude")) phi0 = gds.FloatItem( "φ0", default=0.0, help=_("Initial phase") ).set_prop("display", col=1) k = gds.FloatItem("k", default=1.0, help=_("Chirp rate (f-2)")) offset = gds.FloatItem( "y0", default=0.0, help=_("Vertical offset") ).set_prop("display", col=1) f0 = gds.FloatItem("f0", default=1.0, help=_("Initial frequency (Hz)")) def generate_title(self) -> str: """Generate a title based on current parameters. Returns: Title string. """ return ( f"chirp(A={self.a:.3g}," f"k={self.k:.3g}," f"f0={self.f0:.3g}," f"φ0={self.phi0:.3g}," f"y0={self.offset:.3g})" ) @classmethod def func( cls, x: np.ndarray, a: float, k: float, f0: float, phi0: float, offset: float ) -> np.ndarray: """Compute the linear chirp function. Args: x: X data array. a: Amplitude. k: Chirp rate (s-2). f0: Initial frequency (Hz). phi0: Initial phase. offset: Vertical offset. Returns: Y data array computed using the chirp function. """ phase = phi0 + 2 * np.pi * (f0 * x + 0.5 * k * x**2) return offset + a * np.sin(phase) def generate_1d_data(self) -> tuple[np.ndarray, np.ndarray]: """Compute 1D data based on current parameters. Returns: Tuple of (x, y) arrays. """ assert self.a is not None assert self.k is not None assert self.f0 is not None assert self.phi0 is not None assert self.offset is not None x = self.generate_x_data() y = self.func(x, self.a, self.k, self.f0, self.phi0, self.offset) return x, y register_signal_parameters_class(SignalTypes.LINEARCHIRP, LinearChirpParam) class StepParam(NewSignalParam, title=_("Step")): """Parameters for step function.""" a1 = gds.FloatItem("A1", default=0.0) a2 = gds.FloatItem("A2", default=1.0).set_pos(col=1) x0 = gds.FloatItem("x0", default=0.0) def generate_title(self) -> str: """Generate a title based on current parameters.""" return f"step(a1={self.a1:.3g},a2={self.a2:.3g},x0={self.x0:.3g})" def generate_1d_data(self) -> tuple[np.ndarray, np.ndarray]: """Compute 1D data based on current parameters. Returns: Tuple of (x, y) arrays """ x = self.generate_x_data() y = np.ones_like(x) * self.a1 y[x > self.x0] = self.a2 return x, y register_signal_parameters_class(SignalTypes.STEP, StepParam) class ExponentialParam( NewSignalParam, title=_("Exponential"), comment="y = A exp(B x) + y0" ): """Parameters for exponential function.""" a = gds.FloatItem("A", default=1.0) offset = gds.FloatItem("y0", default=0.0) exponent = gds.FloatItem("B", default=1.0) def generate_title(self) -> str: """Generate a title based on current parameters.""" return f"exponential(A={self.a:.3g},B={self.exponent:.3g},y0={self.offset:.3g})" def generate_1d_data(self) -> tuple[np.ndarray, np.ndarray]: """Compute 1D data based on current parameters. Returns: Tuple of (x, y) arrays """ x = self.generate_x_data() y = self.a * np.exp(self.exponent * x) + self.offset return x, y register_signal_parameters_class(SignalTypes.EXPONENTIAL, ExponentialParam) class LogisticParam( NewSignalParam, title=_("Logistic"), comment="y = y0 + A / (1 + exp(-k (x - x0)))", ): """Logistic function.""" a = gds.FloatItem("A", default=1.0, help=_("Amplitude")) x0 = gds.FloatItem( "x0", default=0.0, help=_("Horizontal offset") ).set_prop("display", col=1) k = gds.FloatItem("k", default=1.0, help=_("Growth or decay rate")) offset = gds.FloatItem( "y0", default=0.0, help=_("Vertical offset") ).set_prop("display", col=1) def generate_title(self) -> str: """Generate a title based on current parameters. Returns: Title string. """ return ( f"logistic(A={self.a:.3g}," f"k={self.k:.3g}," f"x0={self.x0:.3g}," f"y0={self.offset:.3g})" ) @classmethod def func( cls, x: np.ndarray, a: float, k: float, x0: float, offset: float ) -> np.ndarray: """Compute the logistic function. Args: x: X data array. a: Amplitude. k: Growth or decay rate. x0: Horizontal offset. offset: Vertical offset. Returns: Y data array computed using the logistic function. """ return offset + a / (1.0 + np.exp(-k * (x - x0))) def generate_1d_data(self) -> tuple[np.ndarray, np.ndarray]: """Compute 1D data based on current parameters. Returns: Tuple of (x, y) arrays. """ assert self.a is not None assert self.k is not None assert self.x0 is not None assert self.offset is not None x = self.generate_x_data() y = self.func(x, self.a, self.k, self.x0, self.offset) return x, y register_signal_parameters_class(SignalTypes.LOGISTIC, LogisticParam) class PulseParam(NewSignalParam, title=_("Pulse")): """Parameters for pulse function.""" amp = gds.FloatItem("Amplitude", default=1.0) start = gds.FloatItem(_("Start"), default=0.0).set_pos(col=1) offset = gds.FloatItem(_("Offset"), default=10.0) stop = gds.FloatItem(_("End"), default=5.0).set_pos(col=1) def generate_title(self) -> str: """Generate a title based on current parameters.""" return ( f"pulse(start={self.start:.3g},stop={self.stop:.3g}," f"offset={self.offset:.3g},amp={self.amp:.3g})" ) def generate_1d_data(self) -> tuple[np.ndarray, np.ndarray]: """Compute 1D data based on current parameters. Returns: Tuple of (x, y) arrays """ x = self.generate_x_data() y = np.full_like(x, self.offset) y[(x >= self.start) & (x <= self.stop)] += self.amp return x, y register_signal_parameters_class(SignalTypes.PULSE, PulseParam) @dataclass class ExpectedFeatures: """Expected pulse feature values for validation.""" signal_shape: SignalShape polarity: int amplitude: float rise_time: float # Rise time between specified ratios offset: float x50: float x100: float # Time at 100% amplitude (maximum) foot_duration: float fall_time: float | None = None # Fall time between specified ratios fwhm: float | None = None @dataclass class FeatureTolerances: """Absolute tolerance values for pulse feature validation.""" polarity: float = 1e-8 amplitude: float = 0.5 rise_time: float = 0.2 offset: float = 0.5 x50: float = 0.1 x100: float = 0.6 # Tolerance for time at 100% amplitude foot_duration: float = 0.5 fall_time: float = 1.0 fwhm: float = 0.5 class BasePulseParam(NewSignalParam): """Base class for pulse signal parameters.""" SEED = 0 # Redefine NewSignalParam parameters with more appropriate defaults xmin = gds.FloatItem(_("Start time"), default=0.0) xmax = gds.FloatItem(_("End time"), default=10.0) size = gds.IntItem(_("Number of points"), default=1000, min=1) # Specific pulse parameters offset = gds.FloatItem(_("Initial value"), default=0.0) amplitude = gds.FloatItem(_("Amplitude"), default=5.0).set_pos(col=1) noise_amplitude = gds.FloatItem(_("Noise amplitude"), default=0.2, min=0.0) x_rise_start = gds.FloatItem(_("Rise start time"), default=3.0, min=0.0) total_rise_time = gds.FloatItem(_("Total rise time"), default=2.0, min=0.0).set_pos( col=1 ) def get_crossing_time(self, edge: Literal["rise", "fall"], ratio: float) -> float: """Get the theoretical crossing time for the specified edge and ratio. Args: edge: Which edge to calculate ("rise" or "fall") ratio: Crossing ratio (0.0 to 1.0) Returns: Theoretical crossing time for the specified edge and ratio """ if edge == "rise": return self.x_rise_start + ratio * self.total_rise_time raise NotImplementedError( "Fall edge crossing time not implemented for this signal type" ) def get_expected_features( self, start_ratio: float = 0.1, stop_ratio: float = 0.9 ) -> ExpectedFeatures: """Calculate expected pulse features for this signal. Args: start_ratio: Start ratio for rise time calculation stop_ratio: Stop ratio for rise time calculation Returns: ExpectedFeatures dataclass with all expected values """ y_end_value = self.offset + self.amplitude return ExpectedFeatures( signal_shape=SignalShape.STEP, polarity=1 if y_end_value > self.offset else -1, amplitude=abs(y_end_value - self.offset), rise_time=(stop_ratio - start_ratio) * self.total_rise_time, offset=self.offset, x50=self.x_rise_start + 0.5 * self.total_rise_time, x100=self.x_rise_start + self.total_rise_time, foot_duration=self.x_rise_start - self.xmin, ) def get_feature_tolerances(self) -> FeatureTolerances: """Get absolute tolerance values for pulse feature validation. Returns: FeatureTolerances dataclass with default tolerance values """ return FeatureTolerances() class StepPulseParam(BasePulseParam, title=_("Step pulse with noise")): """Parameters for generating step signals with configurable rise time.""" def generate_title(self) -> str: """Generate a title based on current parameters.""" return ( f"step_pulse(rise_time={self.total_rise_time:.3g}," f"x_start={self.x_rise_start:.3g},offset={self.offset:.3g}," f"amp={self.amplitude:.3g})" ) def generate_1d_data(self) -> tuple[np.ndarray, np.ndarray]: """Generate a noisy step signal with a linear rise. The function creates a time vector and generates a signal that starts at `offset`, rises linearly to `offset + amplitude` starting at `x_rise_start` over a duration of `total_rise_time`, and remains at the final value afterwards. Gaussian noise is added to the signal. Returns: Tuple containing the time vector and noisy step signal. """ # time vector x = self.generate_x_data() # Calculate final value from offset and amplitude y_final = self.offset + self.amplitude # creating the signal rise_end_time = self.x_rise_start + self.total_rise_time y = np.piecewise( x, [ x < self.x_rise_start, (x >= self.x_rise_start) & (x < rise_end_time), x >= rise_end_time, ], [ self.offset, lambda t: ( self.offset + (y_final - self.offset) * (t - self.x_rise_start) / self.total_rise_time ), y_final, ], ) rdg = np.random.default_rng(self.SEED) noise = rdg.normal(0, self.noise_amplitude, size=len(y)) y_noisy = y + noise return x, y_noisy register_signal_parameters_class(SignalTypes.STEP_PULSE, StepPulseParam) class SquarePulseParam(BasePulseParam, title=_("Square pulse with noise")): """Parameters for generating square signals with configurable rise/fall times.""" # Redefine NewSignalParam parameters with more appropriate defaults xmax = gds.FloatItem(_("End time"), default=20.0) # Specific square pulse parameters fwhm = gds.FloatItem(_("Full Width at Half Maximum"), default=5.5, min=0.0) total_fall_time = gds.FloatItem(_("Total fall time"), default=5.0, min=0.0).set_pos( col=1 ) @property def square_duration(self) -> float: """Calculate the square duration from FWHM and total rise/fall times.""" return self.fwhm - 0.5 * self.total_rise_time - 0.5 * self.total_fall_time def get_plateau_range(self) -> tuple[float, float]: """Get the theoretical plateau range (start, end) for the square signal. Returns: Tuple with (start, end) times of the plateau """ return ( self.x_rise_start + self.total_rise_time, self.x_rise_start + self.total_rise_time + self.square_duration, ) def get_crossing_time(self, edge: Literal["rise", "fall"], ratio: float) -> float: """Get the theoretical crossing time for the specified edge and ratio. Args: edge: Which edge to calculate ("rise" or "fall") ratio: Crossing ratio (0.0 to 1.0) Returns: Theoretical crossing time for the specified edge and ratio """ if edge == "rise": return super().get_crossing_time(edge, ratio) if edge == "fall": t_start_fall = ( self.x_rise_start + self.total_rise_time + self.square_duration ) return t_start_fall + ratio * self.total_fall_time raise ValueError("edge must be 'rise' or 'fall'") def get_expected_features( self, start_ratio: float = 0.1, stop_ratio: float = 0.9 ) -> ExpectedFeatures: """Calculate expected pulse features for this signal. Args: start_ratio: Start ratio for rise time calculation stop_ratio: Stop ratio for rise time calculation Returns: ExpectedFeatures dataclass with all expected values """ features = super().get_expected_features(start_ratio, stop_ratio) features.signal_shape = SignalShape.SQUARE features.fall_time = np.abs(stop_ratio - start_ratio) * self.total_fall_time features.fwhm = self.fwhm return features def get_feature_tolerances(self) -> FeatureTolerances: """Get absolute tolerance values for square signal feature validation. Returns: FeatureTolerances dataclass with square-specific tolerance values """ return FeatureTolerances( x100=0.8, # Looser tolerance for square signals ) def generate_title(self) -> str: """Generate a title based on current parameters.""" return ( f"square_pulse(rise_time={self.total_rise_time:.3g}," f"fall_time={self.total_fall_time:.3g}," f"fwhm={self.fwhm:.3g},offset={self.offset:.3g}," f"amp={self.amplitude:.3g})" ) def generate_1d_data(self) -> tuple[np.ndarray, np.ndarray]: """Generate a synthetic square-like signal with configurable parameters. Generates a synthetic square-like signal with configurable rise, plateau, and fall times, and adds Gaussian noise. Returns: Tuple containing the time vector and noisy square signal. """ # time vector x = self.generate_x_data() # Calculate high value from offset and amplitude y_high = self.offset + self.amplitude x_rise_end = self.x_rise_start + self.total_rise_time x_start_fall = self.x_rise_start + self.total_rise_time + self.square_duration # creating the signal y = np.piecewise( x, [ x < self.x_rise_start, (x >= self.x_rise_start) & (x < x_rise_end), (x >= x_rise_end) & (x < x_start_fall), (x >= x_start_fall) & (x < x_start_fall + self.total_fall_time), x >= self.total_fall_time + x_start_fall, ], [ self.offset, lambda t: ( self.offset + (y_high - self.offset) * (t - self.x_rise_start) / self.total_rise_time ), y_high, lambda t: y_high - (y_high - self.offset) * (t - x_start_fall) / self.total_fall_time, self.offset, ], ) rdg = np.random.default_rng(self.SEED) noise = rdg.normal(0, self.noise_amplitude, size=len(y)) y_noisy = y + noise return x, y_noisy register_signal_parameters_class(SignalTypes.SQUARE_PULSE, SquarePulseParam) class PolyParam(NewSignalParam, title=_("Polynomial")): """Parameters for polynomial function.""" a0 = gds.FloatItem("a0", default=1.0) a3 = gds.FloatItem("a3", default=0.0).set_pos(col=1) a1 = gds.FloatItem("a1", default=1.0) a4 = gds.FloatItem("a4", default=0.0).set_pos(col=1) a2 = gds.FloatItem("a2", default=0.0) a5 = gds.FloatItem("a5", default=0.0).set_pos(col=1) def generate_title(self) -> str: """Generate a title based on current parameters.""" coeffs = [self.a0, self.a1, self.a2, self.a3, self.a4, self.a5] terms = [] for i, coeff in enumerate(coeffs): if coeff == 0: continue # Format coefficient if i == 0: # Constant term terms.append(f"{coeff:.3g}") elif i == 1: # Linear term if coeff == 1: terms.append("x") elif coeff == -1: terms.append("-x") else: terms.append(f"{coeff:.3g}x") else: # Higher order terms if coeff == 1: terms.append(f"x^{i}") elif coeff == -1: terms.append(f"-x^{i}") else: terms.append(f"{coeff:.3g}x^{i}") if not terms: return "0" # Join terms with + or - signs result = terms[0] for term in terms[1:]: if term.startswith("-"): result += term else: result += f"+{term}" return result def generate_1d_data(self) -> tuple[np.ndarray, np.ndarray]: """Compute 1D data based on current parameters. Returns: Tuple of (x, y) arrays """ x = self.generate_x_data() y = np.polyval([self.a5, self.a4, self.a3, self.a2, self.a1, self.a0], x) return x, y register_signal_parameters_class(SignalTypes.POLYNOMIAL, PolyParam) class CustomSignalParam(NewSignalParam, title=_("Custom signal")): """Parameters for custom signal (e.g. manually defined experimental data).""" size = gds.IntItem(_("Npoints"), default=10).set_prop( "display", active=False ) xmin = gds.FloatItem("xmin", default=0.0).set_prop( "display", active=False ) xmax = gds.FloatItem("xmax", default=1.0).set_prop( "display", active=False, col=1 ) xyarray = gds.FloatArrayItem( "XY Values", format="%g", ) def setup_array( self, size: int | None = None, xmin: float | None = None, xmax: float | None = None, ) -> None: """Setup the xyarray from size, xmin and xmax (use the current values is not provided) Args: size: xyarray size (default: None) xmin: X min (default: None) xmax: X max (default: None) """ self.size = size or self.size self.xmin = xmin or self.xmin self.xmax = xmax or self.xmax x_arr = np.linspace(self.xmin, self.xmax, self.size) # type: ignore self.xyarray = np.vstack((x_arr, x_arr)).T def generate_title(self) -> str: """Generate a title based on current parameters.""" return f"custom(size={self.size})" def generate_1d_data(self) -> tuple[np.ndarray, np.ndarray]: """Compute 1D data based on current parameters. Returns: Tuple of (x, y) arrays """ self.setup_array(size=self.size, xmin=self.xmin, xmax=self.xmax) x, y = self.xyarray.T return x, y register_signal_parameters_class(SignalTypes.CUSTOM, CustomSignalParam) check_all_signal_parameters_classes() def triangle_func(xarr: np.ndarray) -> np.ndarray: """Triangle function Args: xarr: x data """ # ignore warning, as type hint is not handled properly in upstream library return sps.sawtooth(xarr, width=0.5) # type: ignore[no-untyped-def] SIG_NB = 0 def get_next_signal_number() -> int: """Get the next signal number. This function is used to keep track of the number of signals created. It is typically used to generate unique titles for new signals. Returns: int: new signal number """ global SIG_NB # pylint: disable=global-statement SIG_NB += 1 return SIG_NB def create_signal_from_param(param: NewSignalParam) -> SignalObj: """Create a new Signal object from parameters. Args: param: new signal parameters Returns: Signal object Raises: NotImplementedError: if the signal type is not supported """ # Generate data first, as some `generate_title()` methods may depend on it: x, y = param.generate_1d_data() # Check if user has customized the title or left it as default/empty use_generated_title = not param.title or param.title == DEFAULT_TITLE if use_generated_title: # Try to generate a descriptive title gen_title = getattr(param, "generate_title", lambda: "")() if gen_title: title = gen_title else: # No generated title available, use default with number title = f"{DEFAULT_TITLE} {get_next_signal_number():d}" else: # User has set a custom title, use it as-is title = param.title signal = create_signal( title, x, y, units=(param.xunit, param.yunit), labels=(param.xlabel, param.ylabel), ) return signal Sigima-1.1.1/sigima/objects/signal/object.py000066400000000000000000000452631514013333200207270ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """Signal object class =================== This module provides the main SignalObj class for handling 1D signal data. The module includes: - `SignalObj`: Main class for signal data management and operations The SignalObj class supports: - Signal data storage with x, y coordinates - Error bars (dx, dy) for uncertainty quantification - Metadata and annotations - ROI (Region of Interest) operations - Axis labels and units management - Copy operations with type conversion """ # pylint: disable=invalid-name # Allows short reference names like x, y, ... # pylint: disable=duplicate-code from __future__ import annotations from typing import Type import guidata.dataset as gds import numpy as np import pandas as pd from sigima.config import _ from sigima.objects import base from sigima.objects.signal.constants import ( DATETIME_X_FORMAT_KEY, DATETIME_X_KEY, DEFAULT_DATETIME_FORMAT, VALID_TIME_UNITS, ) from sigima.objects.signal.roi import SignalROI def validate_and_convert_dtype(x: np.ndarray) -> np.ndarray: """Check if data type is valid, convert integer to float64 if needed. Args: x: Input array Returns: Original array if data type is valid, array converted to float64 if integer Raises: ValueError: If data type is not valid """ if np.issubdtype(x.dtype, np.integer): return x.astype(np.float64) if x.dtype not in SignalObj.VALID_DTYPES: raise ValueError( f"Invalid data type: {x.dtype}. " f"Valid types: {', '.join(str(dt) for dt in SignalObj.VALID_DTYPES)}" ) return x class SignalObj(gds.DataSet, base.BaseObj[SignalROI]): """Signal object""" PREFIX = "s" VALID_DTYPES = (np.float32, np.float64, np.complex128) _tabs = gds.BeginTabGroup("all") _datag = gds.BeginGroup(_("Data and metadata")) title = gds.StringItem(_("Signal title"), default=_("Untitled")) xydata = gds.FloatArrayItem(_("Data"), transpose=True, minmax="rows") metadata = gds.DictItem(_("Metadata"), default={}) # type: ignore[assignment] annotations = gds.StringItem(_("Annotations"), default="").set_prop( "display", hide=True, ) # Annotations (JSON). Use get/set_annotations() API # type: ignore[assignment] _e_datag = gds.EndGroup(_("Data and metadata")) _unitsg = gds.BeginGroup(_("Titles / Units")) title = gds.StringItem(_("Signal title"), default=_("Untitled")) _tabs_u = gds.BeginTabGroup("units") _unitsx = gds.BeginGroup(_("X-axis")) xlabel = gds.StringItem(_("Title"), default="") xunit = gds.StringItem(_("Unit"), default="") _e_unitsx = gds.EndGroup(_("X-axis")) _unitsy = gds.BeginGroup(_("Y-axis")) ylabel = gds.StringItem(_("Title"), default="") yunit = gds.StringItem(_("Unit"), default="") _e_unitsy = gds.EndGroup(_("Y-axis")) _e_tabs_u = gds.EndTabGroup("units") _e_unitsg = gds.EndGroup(_("Titles / Units")) _scalesg = gds.BeginGroup(_("Scales")) _prop_autoscale = gds.GetAttrProp("autoscale") autoscale = gds.BoolItem(_("Auto scale"), default=True).set_prop( "display", store=_prop_autoscale ) _tabs_b = gds.BeginTabGroup("bounds") _boundsx = gds.BeginGroup(_("X-axis")) xscalelog = gds.BoolItem(_("Logarithmic scale"), default=False) xscalemin = gds.FloatItem(_("Lower bound"), check=False).set_prop( "display", active=gds.NotProp(_prop_autoscale) ) xscalemax = gds.FloatItem(_("Upper bound"), check=False).set_prop( "display", active=gds.NotProp(_prop_autoscale) ) _e_boundsx = gds.EndGroup(_("X-axis")) _boundsy = gds.BeginGroup(_("Y-axis")) yscalelog = gds.BoolItem(_("Logarithmic scale"), default=False) yscalemin = gds.FloatItem(_("Lower bound"), check=False).set_prop( "display", active=gds.NotProp(_prop_autoscale) ) yscalemax = gds.FloatItem(_("Upper bound"), check=False).set_prop( "display", active=gds.NotProp(_prop_autoscale) ) _e_boundsy = gds.EndGroup(_("Y-axis")) _e_tabs_b = gds.EndTabGroup("bounds") _e_scalesg = gds.EndGroup(_("Scales")) _e_tabs = gds.EndTabGroup("all") def __init__(self, title=None, comment=None, icon=""): """Constructor Args: title: title comment: comment icon: icon """ gds.DataSet.__init__(self, title, comment, icon) base.BaseObj.__init__(self) @staticmethod def get_roi_class() -> Type[SignalROI]: """Return ROI class""" return SignalROI def copy( self, title: str | None = None, dtype: np.dtype | None = None, all_metadata: bool = False, ) -> SignalObj: """Copy object. Args: title: title dtype: data type all_metadata: if True, copy all metadata, otherwise only basic metadata Returns: Copied object """ title = self.title if title is None else title obj = SignalObj(title=title) obj.title = title obj.xlabel = self.xlabel obj.ylabel = self.ylabel obj.xunit = self.xunit obj.yunit = self.yunit if dtype not in (None, float, complex, np.complex128): raise RuntimeError("Signal data only supports float64/complex128 dtype") obj.metadata = base.deepcopy_metadata(self.metadata, all_metadata=all_metadata) obj.annotations = self.annotations obj.xydata = np.array(self.xydata, copy=True, dtype=dtype) obj.autoscale = self.autoscale obj.xscalelog = self.xscalelog obj.xscalemin = self.xscalemin obj.xscalemax = self.xscalemax obj.yscalelog = self.yscalelog obj.yscalemin = self.yscalemin obj.yscalemax = self.yscalemax return obj def set_data_type(self, dtype: np.dtype) -> None: # pylint: disable=unused-argument """Change data type. Args: Data type """ raise RuntimeError("Setting data type is not support for signals") def set_xydata( self, x: np.ndarray | list | None, y: np.ndarray | list | None, dx: np.ndarray | list | None = None, dy: np.ndarray | list | None = None, ) -> None: """Set xy data Args: x: x data y: y data dx: dx data (optional: error bars). Use None to reset dx data to None, or provide array to set new dx data. dy: dy data (optional: error bars). Use None to reset dy data to None, or provide array to set new dy data. """ if x is None and y is None: # Using empty arrays (this allows initialization of the object without data) x = np.array([], dtype=np.float64) y = np.array([], dtype=np.float64) if x is None and y is not None: # If x is None, we create a default x array based on the length of y assert isinstance(y, (list, np.ndarray)) x = np.arange(len(y), dtype=np.float64) if x is not None: x = np.array(x) if y is not None: y = np.array(y) if dx is not None: dx = np.array(dx) if dy is not None: dy = np.array(dy) if dx is None and dy is None: xydata = np.vstack([x, y]) else: if dx is None: dx = np.full_like(x, np.nan) if dy is None: dy = np.full_like(y, np.nan) assert x is not None and y is not None xydata = np.vstack((x, y, dx, dy)) self.xydata = validate_and_convert_dtype(xydata) def __get_x(self) -> np.ndarray | None: """Get x data""" if self.xydata is not None: x: np.ndarray = self.xydata[0] # We have to ensure that x is a floating point array, because if y is # complex, the whole xydata array will be complex, and we need to avoid # any unintended type promotion. return x.real.astype(float) return None def __set_x(self, data: np.ndarray | list[float]) -> None: """Set x data""" assert isinstance(self.xydata, np.ndarray) assert isinstance(data, (list, np.ndarray)) data = np.array(data, dtype=float) assert data.shape[0] == self.xydata.shape[1], ( "X data size must match Y data size" ) if not np.all(np.diff(data) >= 0.0): raise ValueError("X data must be monotonic (sorted in ascending order)") self.xydata[0] = validate_and_convert_dtype(data) def __get_y(self) -> np.ndarray | None: """Get y data""" if self.xydata is not None: return self.xydata[1] return None def __set_y(self, data: np.ndarray | list[float]) -> None: """Set y data""" assert isinstance(self.xydata, np.ndarray) assert isinstance(data, (list, np.ndarray)) data = np.array(data) assert data.shape[0] == self.xydata.shape[1], ( "Y data size must match X data size" ) assert np.issubdtype(data.dtype, np.inexact), "Y data must be float or complex" self.xydata[1] = validate_and_convert_dtype(data) def __get_dx(self) -> np.ndarray | None: """Get dx data""" if self.xydata is not None and len(self.xydata) == 4: dx: np.ndarray = self.xydata[2] if np.all(np.isnan(dx)): return None return dx.real.astype(float) return None def __set_dx(self, data: np.ndarray | list[float] | None) -> None: """Set dx data""" if data is None: data = np.full_like(self.x, np.nan) assert isinstance(data, (list, np.ndarray)) data = np.array(data) if self.xydata is None: raise ValueError("Signal data not initialized") assert data.shape[0] == self.xydata.shape[1], ( "dx data size must match X data size" ) if len(self.xydata) == 2: self.xydata = np.vstack((self.xydata, np.zeros((2, self.xydata.shape[1])))) self.xydata[2] = validate_and_convert_dtype(data) def __get_dy(self) -> np.ndarray | None: """Get dy data""" if self.xydata is not None and len(self.xydata) == 4: dy: np.ndarray = self.xydata[3] if np.all(np.isnan(dy)): return None return dy return None def __set_dy(self, data: np.ndarray | list[float] | None) -> None: """Set dy data""" if data is None: data = np.full_like(self.x, np.nan) assert isinstance(data, (list, np.ndarray)) data = np.array(data) if self.xydata is None: raise ValueError("Signal data not initialized") assert data.shape[0] == self.xydata.shape[1], ( "dy data size must match X data size" ) if len(self.xydata) == 2: self.xydata = np.vstack((self.xydata, np.zeros((2, self.xydata.shape[1])))) self.xydata[3] = validate_and_convert_dtype(data) x = property(__get_x, __set_x) y = data = property(__get_y, __set_y) dx = property(__get_dx, __set_dx) dy = property(__get_dy, __set_dy) def _repr_html_(self) -> str: """Return HTML representation for Jupyter notebook display. This method is automatically called by Jupyter when displaying the object as a cell output, providing a rich HTML rendering of the signal object. Returns: HTML representation of the signal with summary statistics. """ n_points = len(self.x) if self.x is not None else 0 x_min = f"{self.x.min():.4g}" if n_points > 0 else "N/A" x_max = f"{self.x.max():.4g}" if n_points > 0 else "N/A" y_min = f"{self.y.min():.4g}" if n_points > 0 else "N/A" y_max = f"{self.y.max():.4g}" if n_points > 0 else "N/A" dtype_str = str(self.y.dtype) if self.y is not None else "N/A" # Build axis labels with optional title x_label = "X" if self.xlabel: x_label = f"X ({self.xlabel})" y_label = "Y" if self.ylabel: y_label = f"Y ({self.ylabel})" html = f'SignalObj: {self.title}:' html += '' html += f"" html += ( f"" f"" html += ( f"" f"" html += ( f"" ) if self.roi is not None: html += ( f"" f"" ) html += "
Points:{n_points}
{x_label} range:[{x_min}, {x_max}]" ) if self.xunit: html += f" {self.xunit}" html += "
{y_label} range:[{y_min}, {y_max}]" ) if self.yunit: html += f" {self.yunit}" html += "
Data type:{dtype_str}
ROIs:{len(self.roi)}
" return html def get_data(self, roi_index: int | None = None) -> tuple[np.ndarray, np.ndarray]: """ Return original data (if ROI is not defined or `roi_index` is None), or ROI data (if both ROI and `roi_index` are defined). Args: roi_index: ROI index Returns: Data """ if self.roi is None or roi_index is None: assert isinstance(self.xydata, np.ndarray) return self.x, self.y single_roi = self.roi.get_single_roi(roi_index) return single_roi.get_data(self) def physical_to_indices(self, coords: list[float]) -> list[int]: """Convert coordinates from physical (real world) to indices (pixel) Args: coords: coordinates Returns: Indices """ assert isinstance(self.x, np.ndarray) return [int(np.abs(self.x - x).argmin()) for x in coords] def indices_to_physical(self, indices: list[int]) -> list[float]: """Convert coordinates from indices to physical (real world) Args: indices: indices Returns: Coordinates """ # We take the real part of the x data to avoid `ComplexWarning` warnings # when creating and manipulating the `XRangeSelection` shape (`plotpy`) return self.x.real[indices].tolist() def is_x_datetime(self) -> bool: """Check if x data represents datetime values. Returns: True if x data represents datetime values, False otherwise """ return self.metadata.get(DATETIME_X_KEY, False) def set_x_from_datetime( self, dt_array: np.ndarray | list, unit: str = "s", format_str: str | None = None, ) -> None: """Set x values from datetime objects or strings. This method converts datetime data to float timestamps (Unix time: seconds since 1970-01-01) for efficient storage and computation. The datetime context is preserved through metadata. Note: X values are always stored as Unix timestamps (seconds since 1970-01-01) regardless of the 'unit' parameter. The 'unit' parameter is stored in metadata and used only for axis labeling when plotting. Args: dt_array: Array of datetime objects, datetime strings, or numpy datetime64 unit: Time unit label for display. Options: 's' (seconds), 'ms' (milliseconds), 'us' (microseconds), 'ns' (nanoseconds), 'min' (minutes), 'h' (hours). Default is 's'. This parameter only affects the axis label, not the stored data. format_str: Format string for datetime display. If None, uses default. Raises: ValueError: If unit is not valid Example: >>> from datetime import datetime >>> signal = SignalObj() >>> timestamps = [datetime(2025, 1, 1, 10, 0, 0), ... datetime(2025, 1, 1, 10, 0, 1)] >>> signal.set_x_from_datetime(timestamps, unit='s') >>> signal.is_x_datetime() True >>> # X data is stored as Unix timestamps (seconds since 1970) >>> signal.x[0] > 1.7e9 # Year 2025 True """ if unit not in VALID_TIME_UNITS: raise ValueError( f"Invalid unit: {unit}. Must be one of: {', '.join(VALID_TIME_UNITS)}" ) # Convert to pandas datetime (handles strings, datetime objects, etc.) dt_series = pd.to_datetime(dt_array) # Convert to float timestamp in seconds (pandas epoch is in nanoseconds) # Note: We always store as Unix timestamps (seconds since 1970-01-01) # regardless of the 'unit' parameter, which is only for display purposes timestamp_seconds = dt_series.astype(np.int64) / 1e9 # Convert to numpy array (pandas may return Float64Index) x_float = np.array(timestamp_seconds, dtype=np.float64) # Check if signal already has data with matching size if self.xydata is not None and self.xydata.shape[1] == len(x_float): # Signal already has matching data, just update x self.x = x_float else: # Initialize or reinitialize signal with x data (y will be zeros) y_placeholder = np.zeros_like(x_float) self.set_xydata(x_float, y_placeholder) # Store metadata self.metadata[DATETIME_X_KEY] = True self.metadata[DATETIME_X_FORMAT_KEY] = ( format_str if format_str is not None else DEFAULT_DATETIME_FORMAT ) # Store unit in xunit attribute (more intuitive than metadata) self.xunit = unit def get_x_as_datetime(self) -> np.ndarray: """Get x values as datetime objects if x is datetime data. Returns x data as numpy datetime64 array if the signal contains datetime data, otherwise returns the regular x data as floats. Returns: Array of datetime64 objects if x is datetime data, otherwise regular x array Example: >>> signal.set_x_from_datetime([datetime(2025, 1, 1, 10, 0, 0)]) >>> dt_values = signal.get_x_as_datetime() >>> isinstance(dt_values[0], np.datetime64) True """ if not self.is_x_datetime(): return self.x # X values are always stored as Unix timestamps (seconds since 1970-01-01) # regardless of the 'unit' parameter x_float = self.x # Convert seconds to datetime using pandas return pd.to_datetime(x_float, unit="s").to_numpy() Sigima-1.1.1/sigima/objects/signal/roi.py000066400000000000000000000223141514013333200202420ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """ Signal ROI utilities ==================== This module provides Region of Interest (ROI) classes and utilities for signal objects. The module includes: - `ROI1DParam`: Parameter class for 1D signal ROIs - `SegmentROI`: Single ROI representing a segment of a signal - `SignalROI`: Collection of signal ROIs with operations - `create_signal_roi`: Factory function for creating signal ROI objects These classes enable defining and working with regions of interest in 1D signal data, supporting operations like data extraction, masking, and parameter conversion. """ # pylint: disable=invalid-name # Allows short reference names like x, y, ... # pylint: disable=duplicate-code from __future__ import annotations from typing import TYPE_CHECKING, Type import guidata.dataset as gds import numpy as np from sigima.config import _ from sigima.objects import base if TYPE_CHECKING: from sigima.objects.signal.object import SignalObj class ROI1DParam(base.BaseROIParam["SignalObj", "SegmentROI"]): """Signal ROI parameters""" # Note: in this class, the ROI parameters are stored as X coordinates title = gds.StringItem(_("ROI title"), default="") xmin = gds.FloatItem(_("First point coordinate"), default=0.0) xmax = gds.FloatItem(_("Last point coordinate"), default=1.0) def to_single_roi(self, obj: SignalObj) -> SegmentROI: """Convert parameters to single ROI Args: obj: signal object Returns: Single ROI """ assert isinstance(self.xmin, float) and isinstance(self.xmax, float) return SegmentROI([self.xmin, self.xmax], False, title=self.title) def get_data(self, obj: SignalObj) -> np.ndarray: """Get signal data in ROI Args: obj: signal object Returns: Data in ROI """ assert isinstance(self.xmin, float) and isinstance(self.xmax, float) imin, imax = np.searchsorted(obj.x, [self.xmin, self.xmax]) return np.array([obj.x[imin:imax], obj.y[imin:imax]]) class SegmentROI(base.BaseSingleROI["SignalObj", ROI1DParam]): """Segment ROI Args: coords: ROI coordinates (xmin, xmax) title: ROI title """ # Note: in this class, the ROI parameters are stored as X indices def check_coords(self) -> None: """Check if coords are valid Raises: ValueError: invalid coords """ if len(self.coords) != 2: raise ValueError("Invalid ROI segment coords (2 values expected)") if self.coords[0] >= self.coords[1]: raise ValueError("Invalid ROI segment coords (xmin >= xmax)") def get_coords_html_rows(self) -> list[tuple[str, str]]: """Return HTML table rows describing the segment coordinates.""" xmin, xmax = self.coords coord_type = "indices" if self.indices else "physical" return [ (f"X min ({coord_type})", f"{xmin:.4g}"), (f"X max ({coord_type})", f"{xmax:.4g}"), ] def get_coords_summary(self) -> str: """Return a short summary of the segment coordinates.""" xmin, xmax = self.coords return f"X: [{xmin:.4g}, {xmax:.4g}]" def get_data(self, obj: SignalObj) -> tuple[np.ndarray, np.ndarray]: """Get signal data in ROI Args: obj: signal object Returns: Data in ROI """ imin, imax = self.get_indices_coords(obj) return obj.x[imin:imax], obj.y[imin:imax] def to_mask(self, obj: SignalObj) -> np.ndarray: """Create mask from ROI Args: obj: signal object Returns: Mask (boolean array where True values are inside the ROI) """ mask = np.ones_like(obj.xydata, dtype=bool) imin, imax = self.get_indices_coords(obj) mask[:, imin:imax] = False return mask # pylint: disable=unused-argument def to_param(self, obj: SignalObj, index: int) -> ROI1DParam: """Convert ROI to parameters Args: obj: object (signal), for physical-indices coordinates conversion index: ROI index """ gtitle = base.get_generic_roi_title(index) param = ROI1DParam(gtitle) param.title = self.title or gtitle param.xmin, param.xmax = self.get_physical_coords(obj) return param class SignalROI(base.BaseROI["SignalObj", SegmentROI, ROI1DParam]): """Signal Regions of Interest Args: inverse: if True, ROI is outside the region """ PREFIX = "s" def union(self) -> SignalROI: """Return union of ROIs""" if not self.single_rois: return SignalROI() coords = np.array([roi.coords for roi in self.single_rois]) # Merge overlapping segments: sorted_coords = coords[coords[:, 0].argsort()] merged_coords = [sorted_coords[0].tolist()] for current in sorted_coords[1:]: last = merged_coords[-1] if current[0] <= last[1]: # Overlap last[1] = max(last[1], current[1]) # Merge else: merged_coords.append(current.tolist()) # Create new SignalROI with merged segments: roi = create_signal_roi(merged_coords) return roi def clipped(self, x_min: float, x_max: float) -> SignalROI: """Remove parts of ROIs outside the signal range Args: x_min: signal minimum X value x_max: signal maximum X value Returns: SignalROI object containing ROIs clipped to the specified signal range. """ new_roi = SignalROI() for roi in self.single_rois: roi_min, roi_max = roi.coords if roi_max < x_min or roi_min > x_max: # ROI completely outside signal range: skip it continue # Clip ROI to signal range: new_roi_min = max(roi_min, x_min) new_roi_max = min(roi_max, x_max) new_roi.add_roi( SegmentROI(np.array([new_roi_min, new_roi_max], float), indices=False) ) return new_roi def inverted(self, x_min: float, x_max: float) -> SignalROI: """Return inverted ROI (inside/outside). Args: x_min: signal minimum X value x_max: signal maximum X value Returns: Inverted ROI """ clipped_roi = self.clipped(x_min, x_max) union_roi = clipped_roi.union() roi_delimiter_list = np.array( [roi.coords for roi in union_roi.single_rois] ).reshape(-1) if len(roi_delimiter_list) == 0: # No ROIs: inverted ROI is the whole signal raise ValueError("No ROIs defined, cannot invert") if len(roi_delimiter_list) % 2 != 0: # Odd number of delimiters: add signal limits raise ValueError("Internal error: odd number of ROI delimiters") if roi_delimiter_list[0] == x_min: # First delimiter is signal min: remove it roi_delimiter_list = roi_delimiter_list[1:] else: # Add signal min as first delimiter roi_delimiter_list = np.insert(roi_delimiter_list, 0, x_min) if roi_delimiter_list[-1] == x_max: # Last delimiter is signal max: remove it roi_delimiter_list = roi_delimiter_list[:-1] else: # Add signal max as last delimiter roi_delimiter_list = np.append(roi_delimiter_list, x_max) return create_signal_roi(np.array(roi_delimiter_list).reshape(-1, 2)) @staticmethod def get_compatible_single_roi_classes() -> list[Type[SegmentROI]]: """Return compatible single ROI classes""" return [SegmentROI] def to_mask(self, obj: SignalObj) -> np.ndarray: """Create mask from ROI Args: obj: signal object Returns: Mask (boolean array where True values are inside the ROI) """ mask = np.ones_like(obj.xydata, dtype=bool) if self.single_rois: for roi in self.single_rois: mask &= roi.to_mask(obj) else: # If no single ROIs, the mask is empty (no ROI defined) mask[:] = False return mask def create_signal_roi( coords: np.ndarray | list[float] | list[list[float]], indices: bool = False, title: str = "", ) -> SignalROI: """Create Signal Regions of Interest (ROI) object. More ROIs can be added to the object after creation, using the `add_roi` method. Args: coords: single ROI coordinates `[xmin, xmax]`, or multiple ROIs coordinates `[[xmin1, xmax1], [xmin2, xmax2], ...]` (lists or NumPy arrays) indices: if True, coordinates are indices, if False, they are physical values (default to False for signals) title: title Returns: Regions of Interest (ROI) object Raises: ValueError: if the number of coordinates is not even """ coords = np.array(coords, float) if coords.ndim == 1: coords = coords.reshape(1, -1) roi = SignalROI() for row in coords: roi.add_roi(SegmentROI(row, indices=indices, title=title)) return roi Sigima-1.1.1/sigima/params.py000066400000000000000000000300201514013333200160170ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """ Parameters (:mod:`sigima.params`) --------------------------------- The :mod:`sigima.params` module provides all the dataset parameter classes used by :mod:`sigima.proc` processing functions and DataLab's GUI. .. tip:: **Always import parameters from** :mod:`sigima.params`. While parameter classes are defined in various submodules (e.g., ``sigima.proc.signal.fourier``), they are all re-exported here for convenience. This avoids confusion about where to import from. .. code-block:: python # ✅ Recommended: import from sigima.params import sigima.params param = sigima.params.ZeroPadding1DParam.create(strategy="next_pow2") # ❌ Avoid: importing from internal modules (works but less clear) from sigima.proc.signal.fourier import ZeroPadding1DParam Introduction to ``DataSet`` Parameters ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ The datasets listed in the following sections define the parameters necessary for computation and processing operations in Sigima. Each dataset is a subclass of :py:class:`guidata.dataset.datatypes.DataSet` and needs to be instantiated before use. Creating Parameter Instances ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Parameter classes provide a ``create()`` class method for easy instantiation: .. code-block:: python import sigima.params # Create with default values param = sigima.params.NormalizeParam.create() # Create with custom values param = sigima.params.NormalizeParam.create(method="maximum") Parameters Requiring Signal/Image Context ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Some parameters need to know about the signal or image they will process in order to compute their values. For example, :class:`ZeroPadding1DParam` needs to know the signal size to calculate how many points to add for the "next_pow2" strategy. These parameters provide an ``update_from_obj()`` method that **must be called** before using the parameters: .. code-block:: python import sigima.params import sigima.proc.signal as sips # Create the parameter object param = sigima.params.ZeroPadding1DParam.create(strategy="next_pow2") # ⚠️ At this point, param.n is still the default value (1) # because the parameter doesn't know the signal size yet # IMPORTANT: Update parameters from the signal param.update_from_obj(signal) # ✅ Now param.n is computed (e.g., 24 for a 1000-point signal) result = sips.zero_padding(signal, param) Parameter classes that require ``update_from_obj()``: - :class:`ZeroPadding1DParam`: Computes ``n`` based on strategy and signal size - :class:`ZeroPadding2DParam`: Computes padding based on strategy and image size - :class:`Resampling1DParam`: Updates bounds based on signal range - :class:`Resampling2DParam`: Updates bounds based on signal range - :class:`ResizeParam`: Updates bounds based on image dimensions - :class:`TranslateParam`: Updates bounds based on image dimensions - :class:`LineProfileParam`: Updates line coordinates based on image dimensions - :class:`BandPassFilterParam`, :class:`BandStopFilterParam`, :class:`HighPassFilterParam`, :class:`LowPassFilterParam`: Update frequency bounds .. note:: Not all parameters require ``update_from_obj()``. Simple parameters like :class:`NormalizeParam` or :class:`GaussianParam` work with fixed values and don't need signal/image context. Complete Example ~~~~~~~~~~~~~~~~ Here is a complete example of how to instantiate a dataset and access its parameters with the :py:class:`sigima.params.BinningParam` dataset: .. autodataset:: sigima.params.BinningParam :no-index: :shownote: I/O parameters ^^^^^^^^^^^^^^ .. autodataset:: sigima.io.convenience.SaveToDirectoryParam :no-index: Common parameters ^^^^^^^^^^^^^^^^^ .. autodataset:: sigima.params.ArithmeticParam :no-index: .. autodataset:: sigima.params.ClipParam :no-index: .. autodataset:: sigima.params.ConstantParam :no-index: .. autodataset:: sigima.params.FFTParam :no-index: .. autodataset:: sigima.params.GaussianParam :no-index: .. autodataset:: sigima.params.HistogramParam :no-index: .. autodataset:: sigima.params.MovingAverageParam :no-index: .. autodataset:: sigima.params.MovingMedianParam :no-index: .. autodataset:: sigima.params.NormalizeParam :no-index: .. autodataset:: sigima.params.SpectrumParam :no-index: Signal parameters ^^^^^^^^^^^^^^^^^ .. autodataset:: sigima.params.AllanVarianceParam :no-index: .. autodataset:: sigima.params.AngleUnitParam :no-index: .. autodataset:: sigima.params.BandPassFilterParam :no-index: .. autodataset:: sigima.params.BandStopFilterParam :no-index: .. autodataset:: sigima.params.DataTypeSParam :no-index: .. autodataset:: sigima.params.DetrendingParam :no-index: .. autodataset:: sigima.params.DynamicParam :no-index: .. autodataset:: sigima.params.AbscissaParam :no-index: .. autodataset:: sigima.params.OrdinateParam :no-index: .. autodataset:: sigima.params.FWHMParam :no-index: .. autodataset:: sigima.params.HighPassFilterParam :no-index: .. autodataset:: sigima.params.InterpolationParam :no-index: .. autodataset:: sigima.params.LowPassFilterParam :no-index: .. autodataset:: sigima.params.PeakDetectionParam :no-index: .. autodataset:: sigima.params.PolynomialFitParam :no-index: .. autodataset:: sigima.params.PowerParam :no-index: .. autodataset:: sigima.params.PulseFeaturesParam :no-index: .. autodataset:: sigima.params.Resampling1DParam :no-index: .. autodataset:: sigima.params.Resampling2DParam :no-index: .. autodataset:: sigima.params.WindowingParam :no-index: .. autodataset:: sigima.params.XYCalibrateParam :no-index: .. autodataset:: sigima.params.ZeroPadding1DParam :no-index: Image parameters ^^^^^^^^^^^^^^^^ Base image parameters ~~~~~~~~~~~~~~~~~~~~~ .. autodataset:: sigima.params.GridParam :no-index: Detection parameters ~~~~~~~~~~~~~~~~~~~~ .. autodataset:: sigima.params.BlobDOGParam :no-index: .. autodataset:: sigima.params.BlobDOHParam :no-index: .. autodataset:: sigima.params.BlobLOGParam :no-index: .. autodataset:: sigima.params.BlobOpenCVParam :no-index: .. autodataset:: sigima.params.ContourShapeParam :no-index: .. autodataset:: sigima.params.Peak2DDetectionParam :no-index: .. autodataset:: sigima.params.HoughCircleParam :no-index: Edge detection parameters ~~~~~~~~~~~~~~~~~~~~~~~~~ .. autodataset:: sigima.params.CannyParam :no-index: Exposure correction parameters ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. autodataset:: sigima.params.AdjustGammaParam :no-index: .. autodataset:: sigima.params.AdjustLogParam :no-index: .. autodataset:: sigima.params.AdjustSigmoidParam :no-index: .. autodataset:: sigima.params.EqualizeAdaptHistParam :no-index: .. autodataset:: sigima.params.EqualizeHistParam :no-index: .. autodataset:: sigima.params.RescaleIntensityParam :no-index: .. autodataset:: sigima.params.FlatFieldParam :no-index: .. autodataset:: sigima.params.XYZCalibrateParam :no-index: Extraction parameters ~~~~~~~~~~~~~~~~~~~~~~ .. autodataset:: sigima.params.AverageProfileParam :no-index: .. autodataset:: sigima.params.LineProfileParam :no-index: .. autodataset:: sigima.params.RadialProfileParam :no-index: .. autodataset:: sigima.params.SegmentProfileParam :no-index: .. autoclass:: sigima.params.Direction :no-index: .. autodataset:: sigima.params.ROIGridParam :no-index: Filtering parameters ~~~~~~~~~~~~~~~~~~~~ .. autodataset:: sigima.params.ButterworthParam :no-index: .. autofunction:: sigima.params.GaussianFreqFilterParam :no-index: Fourier analysis parameters ~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. autodataset:: sigima.params.ZeroPadding2DParam :no-index: Geometry parameters ~~~~~~~~~~~~~~~~~~~ .. autodataset:: sigima.params.BinningParam :no-index: .. autodataset:: sigima.params.ResizeParam :no-index: .. autodataset:: sigima.params.RotateParam :no-index: .. autodataset:: sigima.params.TranslateParam :no-index: Mathematical operation parameters ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. autodataset:: sigima.params.DataTypeIParam :no-index: .. autodataset:: sigima.params.Log10ZPlusNParam :no-index: Morphological parameters ~~~~~~~~~~~~~~~~~~~~~~~~ .. autodataset:: sigima.params.MorphologyParam :no-index: Restoration parameters ~~~~~~~~~~~~~~~~~~~~~~ .. autodataset:: sigima.params.DenoiseBilateralParam :no-index: .. autodataset:: sigima.params.DenoiseTVParam :no-index: .. autodataset:: sigima.params.DenoiseWaveletParam :no-index: Threshold parameters ~~~~~~~~~~~~~~~~~~~~ .. autodataset:: sigima.params.ThresholdParam :no-index: """ __all__ = [ "AbscissaParam", "AdjustGammaParam", "AdjustLogParam", "AdjustSigmoidParam", "AllanVarianceParam", "AngleUnitParam", "ArithmeticParam", "AverageProfileParam", "BandPassFilterParam", "BandStopFilterParam", "BinningParam", "BlobDOGParam", "BlobDOHParam", "BlobLOGParam", "BlobOpenCVParam", "ButterworthParam", "CannyParam", "ClipParam", "ConstantParam", "ContourShapeParam", "DataTypeIParam", "DataTypeSParam", "DenoiseBilateralParam", "DenoiseTVParam", "DenoiseWaveletParam", "DetrendingParam", "Direction", "DynamicParam", "EqualizeAdaptHistParam", "EqualizeHistParam", "FFTParam", "FWHMParam", "FlatFieldParam", "GaussianFreqFilterParam", "GaussianParam", "GridParam", "HighPassFilterParam", "HistogramParam", "HoughCircleParam", "InterpolationParam", "LineProfileParam", "Log10ZPlusNParam", "LowPassFilterParam", "MorphologyParam", "MovingAverageParam", "MovingMedianParam", "NormalizeParam", "OrdinateParam", "Peak2DDetectionParam", "PeakDetectionParam", "PhaseParam", "PolynomialFitParam", "PowerParam", "PulseFeaturesParam", "ROIGridParam", "RadialProfileParam", "Resampling1DParam", "Resampling2DParam", "RescaleIntensityParam", "ResizeParam", "RotateParam", "SaveToDirectoryParam", "SegmentProfileParam", "SignalsToImageParam", "SpectrumParam", "ThresholdParam", "TranslateParam", "UniformCoordsParam", "WindowingParam", "XYCalibrateParam", "XYZCalibrateParam", "ZeroPadding1DParam", "ZeroPadding2DParam", ] from sigima.io.convenience import SaveToDirectoryParam from sigima.proc.base import ( AngleUnitParam, ArithmeticParam, ClipParam, ConstantParam, FFTParam, GaussianParam, HistogramParam, MovingAverageParam, MovingMedianParam, NormalizeParam, PhaseParam, SignalsToImageParam, SpectrumParam, ) from sigima.proc.image import ( AdjustGammaParam, AdjustLogParam, AdjustSigmoidParam, AverageProfileParam, BinningParam, BlobDOGParam, BlobDOHParam, BlobLOGParam, BlobOpenCVParam, ButterworthParam, CannyParam, ContourShapeParam, DataTypeIParam, DenoiseBilateralParam, DenoiseTVParam, DenoiseWaveletParam, Direction, EqualizeAdaptHistParam, EqualizeHistParam, FlatFieldParam, GaussianFreqFilterParam, GridParam, HoughCircleParam, LineProfileParam, Log10ZPlusNParam, MorphologyParam, Peak2DDetectionParam, RadialProfileParam, Resampling2DParam, RescaleIntensityParam, ResizeParam, ROIGridParam, RotateParam, SegmentProfileParam, ThresholdParam, TranslateParam, UniformCoordsParam, XYZCalibrateParam, ZeroPadding2DParam, ) from sigima.proc.signal import ( AbscissaParam, AllanVarianceParam, BandPassFilterParam, BandStopFilterParam, DataTypeSParam, DetrendingParam, DynamicParam, FWHMParam, HighPassFilterParam, InterpolationParam, LowPassFilterParam, OrdinateParam, PeakDetectionParam, PolynomialFitParam, PowerParam, PulseFeaturesParam, Resampling1DParam, WindowingParam, XYCalibrateParam, ZeroPadding1DParam, ) Sigima-1.1.1/sigima/proc/000077500000000000000000000000001514013333200151325ustar00rootroot00000000000000Sigima-1.1.1/sigima/proc/__init__.py000066400000000000000000000065061514013333200172520ustar00rootroot00000000000000""" Computation (:mod:`sigima.proc`) -------------------------------- This package contains the Sigima computation functions that implement processing features for signal, image and scalar objects. These functions are designed to operate directly on :class:`sigima.objects.SignalObj`, :class:`sigima.objects.ImageObj`, :class:`sigima.objects.GeometryResult` and :class:`sigima.objects.TableResult` objects, which are defined in the :mod:`sigima.objects` package. Even though these functions are primarily designed to be used in the Sigima pipeline, they can also be used independently. .. seealso:: See the :mod:`sigima.tools` package for some algorithms that operate directly on NumPy arrays. Each computation module defines a set of computation objects, that is, functions that implement processing features and classes that implement the corresponding parameters (in the form of :py:class:`guidata.dataset.datatypes.Dataset` subclasses). The computation functions takes a signal or image object (e.g. :py:class:`sigima.objects.SignalObj`) and a parameter object (e.g. :py:class:`sigima.params.MovingAverageParam`) as input and return a signal or image object as output (the result of the computation). The parameter object is used to configure the computation function (e.g. the size of the moving average window). In Sigima overall architecture, the purpose of this package is to provide the computation functions that are used by DataLab processor modules, based on the algorithms defined in the :mod:`sigima.tools` module and on the data model defined in the :mod:`sigima.objects` module. The computation modules are organized in subpackages according to their purpose. The following subpackages are available: - :mod:`sigima.proc.base`: Common processing features - :mod:`sigima.proc.signal`: Signal processing features - :mod:`sigima.proc.image`: Image processing features (including transformations) Common processing features ^^^^^^^^^^^^^^^^^^^^^^^^^^ .. automodule:: sigima.proc.base :members: Signal processing features ^^^^^^^^^^^^^^^^^^^^^^^^^^ .. automodule:: sigima.proc.signal :members: Image processing features ^^^^^^^^^^^^^^^^^^^^^^^^^ .. automodule:: sigima.proc.image :members: Decorators and utilities ^^^^^^^^^^^^^^^^^^^^^^^^ This package also provides some utility functions to help with the creation and introspection of computation functions: .. autofunction:: sigima.proc.decorator.computation_function .. autofunction:: sigima.proc.decorator.is_computation_function .. autofunction:: sigima.proc.decorator.get_computation_metadata .. autofunction:: sigima.proc.decorator.find_computation_functions Title Formatting System ^^^^^^^^^^^^^^^^^^^^^^^ The title formatting system provides configurable title generation for computation results, enabling different applications (Sigima standalone vs DataLab integration) to use different title formatting strategies: .. automodule:: sigima.proc.title_formatting :members: """ # Import title formatting components for easy access from sigima.proc.title_formatting import ( PlaceholderTitleFormatter, SimpleTitleFormatter, TitleFormatter, get_default_title_formatter, set_default_title_formatter, ) __all__ = [ "PlaceholderTitleFormatter", "SimpleTitleFormatter", "TitleFormatter", "get_default_title_formatter", "set_default_title_formatter", ] Sigima-1.1.1/sigima/proc/base.py000066400000000000000000000312771514013333200164300ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """ .. Common computation objects (see parent package :mod:`sigima.computation`) """ # pylint: disable=invalid-name # Allows short reference names like x, y, ... # Note: # ---- # All dataset classes must also be imported in the sigima.params module. from __future__ import annotations from typing import TypeVar, cast import guidata.dataset as gds import numpy as np from sigima import ImageObj, SignalObj, create_signal from sigima.config import _, options from sigima.enums import ( AngleUnit, FilterMode, MathOperator, NormalizationMethod, SignalsToImageOrientation, ) from sigima.proc.title_formatting import get_default_title_formatter # NOTE: This module is a shared utilities library that defines common parameter classes # used by multiple other modules (signal processing, image processing, etc.). # Unlike other modules, the parameter classes DEFINED in this module should NOT be # included in __all__ because they are imported and re-exported by the modules that # use them, and including them here would create Sphinx cross-reference conflicts. # The sigima.params module serves as the central API point that imports and re-exports # all parameter classes from their canonical locations. __all__ = [ "dst_1_to_1", "dst_2_to_1", "dst_n_to_1", "new_signal_result", ] class ArithmeticParam(gds.DataSet, title=_("Arithmetic")): """Arithmetic parameters""" def get_operation(self) -> str: """Return the operation string""" o, a, b = self.operator, self.factor, self.constant b_added = False if a == 0.0: if o in ("+", "-"): txt = "obj3 = obj1" elif b == 0.0: txt = "obj3 = 0" else: txt = f"obj3 = {b}" b_added = True elif a == 1.0: txt = f"obj3 = obj1 {o} obj2" else: txt = f"obj3 = (obj1 {o} obj2) × {a}" if b != 0.0 and not b_added: txt += f" + {b}" return txt def update_operation(self, _item, _value): # pylint: disable=unused-argument """Update the operation item""" self.operation = self.get_operation() operator = gds.ChoiceItem( _("Operator"), MathOperator, default=MathOperator.ADD ).set_prop("display", callback=update_operation) factor = ( gds.FloatItem(_("Factor"), default=1.0) .set_pos(col=1) .set_prop("display", callback=update_operation) ) constant = ( gds.FloatItem(_("Constant"), default=0.0) .set_pos(col=1) .set_prop("display", callback=update_operation) ) operation = gds.StringItem(_("Operation"), default="").set_prop( "display", active=False ) restore_dtype = gds.BoolItem( _("Convert to `obj1` data type"), label=_("Result"), default=True ) class GaussianParam(gds.DataSet, title=_("Gaussian filter")): """Gaussian filter parameters.""" sigma = gds.FloatItem( "σ", default=1.0, min=0.0, help=_("Standard deviation of the Gaussian filter"), ) HELP_MODE = _("""Mode of the filter: - 'reflect': Reflect the data at the boundary - 'constant': Pad with a constant value - 'nearest': Pad with the nearest value - 'mirror': Reflect the data at the boundary with the data itself - 'wrap': Circular boundary""") class MovingAverageParam(gds.DataSet, title=_("Moving average")): """Moving average parameters""" n = gds.IntItem(_("Size of the moving window"), default=3, min=1) mode = gds.ChoiceItem( _("Mode"), FilterMode, default=FilterMode.REFLECT, help=HELP_MODE ) class MovingMedianParam(gds.DataSet, title=_("Moving median")): """Moving median parameters""" n = gds.IntItem(_("Size of the moving window"), default=3, min=1, even=False) mode = gds.ChoiceItem( _("Mode"), FilterMode, default=FilterMode.NEAREST, help=HELP_MODE ) class ClipParam(gds.DataSet, title=_("Clip")): """Data clipping parameters""" lower = gds.FloatItem(_("Lower clipping value"), check=False) upper = gds.FloatItem(_("Upper clipping value"), check=False) class NormalizeParam(gds.DataSet, title=_("Normalize")): """Normalize parameters""" method = gds.ChoiceItem(_("Normalize with respect to"), NormalizationMethod) class HistogramParam(gds.DataSet, title=_("Histogram")): """Histogram parameters""" def get_suffix(self, data: np.ndarray) -> str: """Return suffix for the histogram computation Args: data: data array """ suffix = f"bins={self.bins:d}" if self.lower is not None: suffix += f", ymin={self.lower:.3f}" else: self.lower = np.min(data) if self.upper is not None: suffix += f", ymax={self.upper:.3f}" else: self.upper = np.max(data) return suffix bins = gds.IntItem(_("Number of bins"), default=256, min=1) lower = gds.FloatItem(_("Lower limit"), default=None, check=False) upper = gds.FloatItem(_("Upper limit"), default=None, check=False) class FFTParam(gds.DataSet, title=_("FFT")): """FFT parameters""" shift = gds.BoolItem(_("Shift"), help=_("Shift zero frequency to center")) def __init__(self, *args, **kwargs): super().__init__(*args, **kwargs) self.shift = options.fft_shift_enabled.get() class SpectrumParam(gds.DataSet, title=_("Spectrum")): """Spectrum parameters.""" decibel = gds.BoolItem(_("Output in decibel (dB)"), default=False) class ConstantParam(gds.DataSet, title=_("Constant")): """Parameter used to set a constant value to used in operations""" value = gds.FloatItem(_("Constant value")) class AngleUnitParam(gds.DataSet, title=_("Angle unit")): """Choice of angle unit.""" unit = gds.ChoiceItem( _("Angle unit"), AngleUnit, default=AngleUnit.RADIAN, help=_("Unit of angle measurement"), ) class PhaseParam(gds.DataSet, title=_("Phase")): """Parameters for phase computation.""" unwrap = gds.BoolItem( "unwrap", default=True, help=_("Unwrapping removes discontinuities in phase") ) unit = gds.ChoiceItem( _("Unit"), AngleUnit, default=AngleUnit.DEGREE, help=_("Unit of angle measurement"), ) class SignalsToImageParam(gds.DataSet, title=_("Signals to image")): """Parameters for assembling signals into an image.""" orientation = gds.ChoiceItem( _("Orientation"), SignalsToImageOrientation, default=SignalsToImageOrientation.ROWS, help=_("Stack signals as rows or columns in the output image"), ) _prop = gds.GetAttrProp("normalize") normalize = gds.BoolItem( _("Normalize"), default=False, help=_("Normalize each signal before combining"), ) normalize_method = gds.ChoiceItem( _("Normalization method"), NormalizationMethod, default=NormalizationMethod.MAXIMUM, help=_("Method used for normalization"), ).set_prop("display", active=_prop) # MARK: Helper functions for creating result objects ----------------------------------- Obj = TypeVar("Obj", bound="SignalObj | ImageObj") def dst_1_to_1(src: Obj, name: str, suffix: str | None = None) -> Obj: """Create a result object, for processing functions that take a single signal or image object as input and return a single signal or image object (1-to-1). .. note:: Data of the result object is copied from the source object (`src`). This initial data is usually replaced by the processing function, but it may also be used to initialize the result object as part of the processing function. Args: src: source signal or image object name: name of the function. The title format depends on the configured title formatter (SimpleTitleFormatter creates readable titles, PlaceholderTitleFormatter creates DataLab-compatible placeholder titles). suffix: suffix to add to the title. Optional. Returns: Result signal or image object """ formatter = get_default_title_formatter() title = formatter.format_1_to_1_title(name, suffix) dst = src.copy(title=title) return cast(Obj, dst) def dst_n_to_1(src_list: list[Obj], name: str, suffix: str | None = None) -> Obj: """Create a result object, for processing functions that take a list of signal or image objects as input and return a single signal or image object (n-to-1). .. note:: Data of the result object is copied from the first source object (`src_list[0]`). This initial data is usually replaced by the processing function, but it may also be used to initialize the result object as part of the processing function. Args: src_list: list of input signal or image objects name: name of the processing function. The title format depends on the configured title formatter (SimpleTitleFormatter creates readable titles, PlaceholderTitleFormatter creates DataLab-compatible placeholder titles). suffix: suffix to add to the title Returns: Result signal or image object """ if not isinstance(src_list, list) or len(src_list) <= 1: raise ValueError("src_list must be a list of at least 2 objects") all_sigs = all(isinstance(obj, SignalObj) for obj in src_list) all_imgs = all(isinstance(obj, ImageObj) for obj in src_list) if not (all_sigs or all_imgs): raise ValueError("src_list must be a list of SignalObj or ImageObj objects") formatter = get_default_title_formatter() title = formatter.format_n_to_1_title(name, len(src_list), suffix) if any(np.issubdtype(obj.data.dtype, complex) for obj in src_list): dst_dtype = complex else: dst_dtype = float dst = src_list[0].copy(title=title, dtype=dst_dtype) dst.roi = None for src_obj in src_list: if src_obj.roi is not None: if dst.roi is None: dst.roi = src_obj.roi.copy() else: dst.roi.add_roi(src_obj.roi) return dst # Note about `src2` parameter: # ---------------------------- # The `src2` parameter is currently not used in the function, but it is included # to maintain a consistent interface with other similar functions (e.g., `dst_n_to_1`). # This may be useful in the future if we want to extend the functionality. # # pylint: disable=unused-argument def dst_2_to_1(src1: Obj, src2: Obj, name: str, suffix: str | None = None) -> Obj: """Create a result object, for processing functions that take two signal or image objects as input and return a single signal or image object (2-to-1). .. note:: Data of the result object is copied from the first source object (`src1`). This initial data is usually replaced by the processing function, but it may also be used to initialize the result object as part of the processing function. Args: src1: input signal or image object src2: input signal or image object name: name of the processing function. The title format depends on the configured title formatter (SimpleTitleFormatter creates readable titles, PlaceholderTitleFormatter creates DataLab-compatible placeholder titles). suffix: suffix to add to the title Returns: Output signal or image object """ formatter = get_default_title_formatter() title = formatter.format_2_to_1_title(name, suffix) dst = src1.copy(title=title) return dst def new_signal_result( src: SignalObj | ImageObj, name: str, suffix: str | None = None, units: tuple[str, str] | None = None, labels: tuple[str, str] | None = None, ) -> SignalObj: """Create new signal object as a result of a `compute_1_to_1` function As opposed to the `dst_1_to_1` functions, this function creates a new signal object without copying the original object metadata, except for the "source" entry. Args: src: input signal or image object name: name of the processing function. The title format depends on the configured title formatter (SimpleTitleFormatter creates readable titles, PlaceholderTitleFormatter creates DataLab-compatible placeholder titles). suffix: suffix to add to the title units: units of the output signal labels: labels of the output signal Returns: Output signal object """ formatter = get_default_title_formatter() title = formatter.format_1_to_1_title(name, suffix) dst = create_signal(title=title, units=units, labels=labels) if (source := src.metadata.get("source")) is not None: dst.metadata["source"] = source return dst Sigima-1.1.1/sigima/proc/decorator.py000066400000000000000000000303721514013333200174730ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """ .. Computation function decorator and utilities (see parent package :mod:`sigima.computation`) """ from __future__ import annotations import dataclasses import functools import importlib import inspect import os.path as osp import pkgutil import sys import typing from typing import Callable, Literal, TypeVar import guidata.dataset as gds import makefun from sigima.objects.scalar.geometry import GeometryResult from sigima.objects.scalar.table import TableResult if sys.version_info >= (3, 10): # Use ParamSpec from typing module in Python 3.10+ from typing import ParamSpec else: # Use ParamSpec from typing_extensions module in Python < 3.10 from typing_extensions import ParamSpec # NOTE: Parameter classes should NOT be included in __all__ to avoid Sphinx # cross-reference conflicts. All parameter classes are re-exported through # sigima.params module which serves as the single source of truth for the # public API. Only utility functions should be exported from this module. __all__ = [ "computation_function", "find_computation_functions", "get_computation_metadata", "is_computation_function", ] # Marker attribute used by @computation_function and introspection COMPUTATION_METADATA_ATTR = "__computation_function_metadata" P = ParamSpec("P") R = TypeVar("R") @dataclasses.dataclass(frozen=True) class ComputationMetadata: """Metadata for a computation function. Attributes: name: The name of the computation function. description: A description or docstring for the computation function. """ name: str description: str def _make_computation_wrapper( f: Callable, ds_cls: type, ds_param: inspect.Parameter, params: list, ds_items: list, new_sig: inspect.Signature, signature_info: str, metadata: ComputationMetadata, ) -> Callable: """ Create a computation function wrapper supporting both DataSet and expanded-kwarg signatures. Args: f: The original function. ds_cls: The DataSet class type. ds_param: The DataSet parameter in the signature. params: The full function signature parameters. ds_items: The DataSet's items (parameters). new_sig: The explicit signature (with kwargs) to expose. signature_info: The Sphinx docstring note to append. metadata: ComputationMetadata to attach to the wrapper. Returns: The wrapped function. """ @makefun.with_signature(new_sig) @functools.wraps(f) def wrapper(*args, **kwargs): """ Dispatch function supporting both DataSet parameter and expanded keyword arguments. Behavior: - If a DataSet object is provided, it is always used and keyword arguments for DataSet items are ignored. - If no DataSet is provided, DataSet items are constructed from keyword arguments. Returns: Result of the original computation function. """ ba = new_sig.bind(*args, **kwargs) ba.apply_defaults() ds_obj = ba.arguments.get(ds_param.name, None) ds_item_names = set(item.get_name() for item in ds_items) if isinstance(ds_obj, ds_cls): # DataSet object provided: ignore any keyword arguments for its items pass else: # DataSet instance not provided: build from keyword arguments ds_kwargs = { k: ba.arguments.pop(k) for k in list(ba.arguments.keys()) if k in ds_item_names } ds_obj = ds_cls.create(**ds_kwargs) # Build the final positional argument list for the original function final_args = [] for p in params: if p is ds_param: final_args.append(ds_obj) else: final_args.append(ba.arguments.get(p.name, None)) # Call the original function result = f(*final_args) # Auto-inject func_name into result objects if they support it if ( isinstance(result, (TableResult, GeometryResult)) and result.func_name is None ): # Since results are frozen dataclasses, we need to recreate them result = dataclasses.replace(result, func_name=f.__name__) return result # Attach dynamic Sphinx docstring and signature doc = f.__doc__ or "" if not doc.endswith("\n"): doc += "\n" wrapper.__doc__ = doc + signature_info wrapper.__signature__ = new_sig setattr(wrapper, COMPUTATION_METADATA_ATTR, metadata) return wrapper def computation_function( *, name: typing.Optional[str] = None, description: typing.Optional[str] = None, ) -> Callable[[Callable[P, R]], Callable[P, R]]: """ Decorator to mark a function as a Sigima computation function. This decorator enables two calling conventions: 1. With a guidata DataSet object as a parameter (classic style). 2. With the DataSet items passed as individual keyword arguments (expanded style). The decorator ensures: - An explicit and informative function signature (including all DataSet items as keyword arguments). - A Sphinx-friendly docstring documenting both call styles. - Pickle-compatibility (crucial for multiprocessing). - Conflict detection if both DataSet instance and expanded keyword arguments are used simultaneously. Args: name: Optional custom name for metadata. description: Optional custom description or docstring. Returns: The decorated, enhanced computation function. """ def decorator(f: Callable[P, R]) -> Callable[P, R]: # Gather signature and typing information sig = inspect.signature(f) params = list(sig.parameters.values()) try: type_hints = typing.get_type_hints(f) except Exception: # pylint: disable=broad-except type_hints = {} # Find DataSet parameter if any ds_param = None ds_cls = None for p in params: annot = type_hints.get(p.name, p.annotation) if ( annot is not inspect.Signature.empty and isinstance(annot, type) and issubclass(annot, gds.DataSet) and annot.__name__ not in ("SignalObj", "ImageObj") ): ds_param = p ds_cls = annot break # If a DataSet param is present, expand signature and docstring if ds_cls is not None: # Build signature exposing all DataSet items as keyword-only parameters ds_items: list[gds.DataItem] = ds_cls._items # pylint: disable=W0212 item_names = [item.get_name() for item in ds_items] items = [] for item in ds_items: if item.get_name() not in [p.name for p in params]: # Support ChoiceItem as Literal if available if hasattr(gds, "ChoiceItem") and isinstance(item, gds.ChoiceItem): choice_data = item.get_prop("data", "choices") choices = [v[0] for v in choice_data] item_type = Literal[tuple(choices)] else: item_type = item.type items.append( inspect.Parameter( item.get_name(), inspect.Parameter.KEYWORD_ONLY, annotation=item_type, default=item.get_default(), ) ) # DataSet parameter remains positional-or-keyword, but optional # (default=None) base_params = [] for p in params: if p is ds_param: base_params.append( inspect.Parameter( p.name, inspect.Parameter.POSITIONAL_OR_KEYWORD, annotation=p.annotation, default=None, ) ) else: base_params.append(p) new_params = base_params + items new_sig = sig.replace(parameters=new_params) param_class_name = ds_cls.__name__ kwarg_example = ", ".join(f"{name}=..." for name in item_names) # Sphinx-style docstring describing both call conventions signature_info = ( f".. note::\n\n" f" This computation function can be called in two ways:\n\n" f" 1. With a parameter ``{param_class_name}`` object:\n\n" f" .. code-block:: python\n\n" f" param = {param_class_name}.create({kwarg_example})\n" f" func(obj, param)\n\n" f" 2. Or, with keyword arguments directly:\n\n" f" .. code-block:: python\n\n" f" func(obj, {kwarg_example})\n\n" f" Both styles are fully supported and equivalent.\n\n" ) metadata = ComputationMetadata( name=name or f.__name__, description=description or f.__doc__, ) return _make_computation_wrapper( f, ds_cls, ds_param, params, ds_items, new_sig, signature_info, metadata ) # No DataSet parameter: simple passthrough with func_name injection @functools.wraps(f) def wrapper(*args, **kwargs): result = f(*args, **kwargs) # Auto-inject func_name into result objects if they support it if ( isinstance(result, (TableResult, GeometryResult)) and result.func_name is None ): # Since results are frozen dataclasses, we need to recreate them result = dataclasses.replace(result, func_name=f.__name__) return result metadata = ComputationMetadata( name=name or f.__name__, description=description or f.__doc__, ) setattr(wrapper, COMPUTATION_METADATA_ATTR, metadata) return wrapper return decorator def is_computation_function(function: Callable) -> bool: """Check if a function is a Sigima computation function. Args: function: The function to check. Returns: True if the function is a Sigima computation function, False otherwise. """ return getattr(function, COMPUTATION_METADATA_ATTR, None) is not None def get_computation_metadata(function: Callable) -> ComputationMetadata: """Get the metadata of a Sigima computation function. Args: function: The function to get metadata from. Returns: Computation function metadata. Raises: ValueError: If the function is not a Sigima computation function. """ metadata = getattr(function, COMPUTATION_METADATA_ATTR, None) if not isinstance(metadata, ComputationMetadata): raise ValueError( f"The function {function.__name__} is not a Sigima computation function." ) return metadata def find_computation_functions() -> list[tuple[str, Callable]]: """Find all computation functions in the `sigima.proc` package. This function uses introspection to locate all functions decorated with `@computation_function` in the `sigima.proc` package and its subpackages. Args: module: Optional module to search in. If None, the current module is used. Returns: A list of tuples, each containing the function name and the function object. """ functions = [] objs = [] for _, modname, _ in pkgutil.walk_packages( path=[osp.dirname(__file__)], prefix=".".join(__name__.split(".")[:-1]) + "." ): module = importlib.import_module(modname) for name, obj in inspect.getmembers(module, inspect.isfunction): if is_computation_function(obj): if obj in objs: # Avoid double entries for the same function continue objs.append(obj) functions.append((modname, name, obj.__doc__)) return functions Sigima-1.1.1/sigima/proc/image/000077500000000000000000000000001514013333200162145ustar00rootroot00000000000000Sigima-1.1.1/sigima/proc/image/__init__.py000066400000000000000000000235771514013333200203430ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """ Basic image processing ~~~~~~~~~~~~~~~~~~~~~~ .. automodule:: sigima.proc.image.base :members: :no-index: Arithmetic ~~~~~~~~~~ .. automodule:: sigima.proc.image.arithmetic :members: :no-index: Mathematical Operations ~~~~~~~~~~~~~~~~~~~~~~~ .. automodule:: sigima.proc.image.mathops :members: :no-index: Measurements ~~~~~~~~~~~~ .. automodule:: sigima.proc.image.measurement :members: :no-index: Extraction ~~~~~~~~~~ .. automodule:: sigima.proc.image.extraction :members: :no-index: Filtering ~~~~~~~~~ .. automodule:: sigima.proc.image.filtering :members: :no-index: Fourier ~~~~~~~ .. automodule:: sigima.proc.image.fourier :members: :no-index: Thresholding ~~~~~~~~~~~~ .. automodule:: sigima.proc.image.threshold :members: :no-index: Exposure correction ~~~~~~~~~~~~~~~~~~~ .. automodule:: sigima.proc.image.exposure :members: :no-index: Preprocessing ~~~~~~~~~~~~~ .. automodule:: sigima.proc.image.preprocessing :members: :no-index: Restoration ~~~~~~~~~~~ .. automodule:: sigima.proc.image.restoration :members: :no-index: Noise ~~~~~ .. automodule:: sigima.proc.image.noise :members: :no-index: Morphology ~~~~~~~~~~ .. automodule:: sigima.proc.image.morphology :members: :no-index: Edge detection ~~~~~~~~~~~~~~ .. automodule:: sigima.proc.image.edges :members: :no-index: Detection ~~~~~~~~~ .. automodule:: sigima.proc.image.detection :members: :no-index: Geometry ~~~~~~~~ .. automodule:: sigima.proc.image.geometry :members: :no-index: Transformation features ^^^^^^^^^^^^^^^^^^^^^^^ .. automodule:: sigima.proc.image.transformations :members: :no-index: """ # pylint: disable=invalid-name # Allows short reference names like x, y, ... # MARK: Important notes # --------------------- # - All `guidata.dataset.DataSet` classes must also be imported # in the `sigima.params` module. # - All functions decorated by `computation_function` defined in the other modules # of this package must be imported right here. from __future__ import annotations import guidata.dataset as gds from sigima.config import _ from sigima.enums import PadLocation2D from sigima.proc.image.arithmetic import ( addition, addition_constant, arithmetic, average, difference, difference_constant, division, division_constant, product, product_constant, quadratic_difference, standard_deviation, ) from sigima.proc.image.base import ( Wrap1to1Func, compute_geometry_from_obj, dst_1_to_1_signal, restore_data_outside_roi, ) from sigima.proc.image.detection import ( BlobDOGParam, BlobDOHParam, BlobLOGParam, BlobOpenCVParam, ContourShapeParam, HoughCircleParam, Peak2DDetectionParam, apply_detection_rois, blob_dog, blob_doh, blob_log, blob_opencv, contour_shape, hough_circle_peaks, peak_detection, ) from sigima.proc.image.edges import ( CannyParam, canny, farid, farid_h, farid_v, laplace, prewitt, prewitt_h, prewitt_v, roberts, scharr, scharr_h, scharr_v, sobel, sobel_h, sobel_v, ) from sigima.proc.image.exposure import ( AdjustGammaParam, AdjustLogParam, AdjustSigmoidParam, EqualizeAdaptHistParam, EqualizeHistParam, FlatFieldParam, NormalizeParam, RescaleIntensityParam, adjust_gamma, adjust_log, adjust_sigmoid, clip, equalize_adapthist, equalize_hist, flatfield, histogram, normalize, offset_correction, rescale_intensity, ) from sigima.proc.image.extraction import ( AverageProfileParam, Direction, LineProfileParam, RadialProfileParam, ROIGridParam, SegmentProfileParam, average_profile, extract_roi, extract_rois, generate_image_grid_roi, line_profile, radial_profile, segment_profile, ) from sigima.proc.image.filtering import ( ButterworthParam, GaussianFreqFilterParam, butterworth, gaussian_filter, gaussian_freq_filter, moving_average, moving_median, wiener, ) from sigima.proc.image.fourier import ( fft, ifft, magnitude_spectrum, phase_spectrum, psd, ) from sigima.proc.image.geometry import ( Resampling2DParam, ResizeParam, RotateParam, TranslateParam, UniformCoordsParam, XYZCalibrateParam, calibration, fliph, flipv, resampling, resize, rotate, rotate90, rotate270, set_uniform_coords, translate, transpose, ) from sigima.proc.image.mathops import ( DataTypeIParam, Log10ZPlusNParam, absolute, astype, complex_from_magnitude_phase, complex_from_real_imag, convolution, deconvolution, exp, imag, inverse, log10, log10_z_plus_n, phase, real, ) from sigima.proc.image.measurement import ( centroid, enclosing_circle, horizontal_projection, stats, vertical_projection, ) from sigima.proc.image.morphology import ( MorphologyParam, black_tophat, closing, dilation, erosion, opening, white_tophat, ) from sigima.proc.image.noise import ( add_gaussian_noise, add_poisson_noise, add_uniform_noise, ) from sigima.proc.image.preprocessing import ( BinningParam, ZeroPadding2DParam, binning, zero_padding, ) from sigima.proc.image.restoration import ( DenoiseBilateralParam, DenoiseTVParam, DenoiseWaveletParam, denoise_bilateral, denoise_tophat, denoise_tv, denoise_wavelet, erase, ) from sigima.proc.image.threshold import ( ThresholdParam, threshold, threshold_isodata, threshold_li, threshold_mean, threshold_minimum, threshold_otsu, threshold_triangle, threshold_yen, ) from sigima.proc.image.transformations import transformer __all__ = [ "AdjustGammaParam", "AdjustLogParam", "AdjustSigmoidParam", "AverageProfileParam", "BinningParam", "BlobDOGParam", "BlobDOHParam", "BlobLOGParam", "BlobOpenCVParam", "ButterworthParam", "CannyParam", "ContourShapeParam", "DataTypeIParam", "DenoiseBilateralParam", "DenoiseTVParam", "DenoiseWaveletParam", "Direction", "EqualizeAdaptHistParam", "EqualizeHistParam", "FlatFieldParam", "GaussianFreqFilterParam", "GridParam", "HoughCircleParam", "LineProfileParam", "Log10ZPlusNParam", "MorphologyParam", "NormalizeParam", "PadLocation2D", "Peak2DDetectionParam", "ROIGridParam", "RadialProfileParam", "Resampling2DParam", "RescaleIntensityParam", "ResizeParam", "RotateParam", "SegmentProfileParam", "ThresholdParam", "TranslateParam", "UniformCoordsParam", "Wrap1to1Func", "XYZCalibrateParam", "ZeroPadding2DParam", "absolute", "add_gaussian_noise", "add_poisson_noise", "add_uniform_noise", "addition", "addition_constant", "adjust_gamma", "adjust_log", "adjust_sigmoid", "apply_detection_rois", "arithmetic", "astype", "average", "average_profile", "binning", "black_tophat", "blob_dog", "blob_doh", "blob_log", "blob_opencv", "butterworth", "calibration", "canny", "centroid", "clip", "closing", "complex_from_magnitude_phase", "complex_from_real_imag", "compute_geometry_from_obj", "contour_shape", "convolution", "deconvolution", "denoise_bilateral", "denoise_tophat", "denoise_tv", "denoise_wavelet", "difference", "difference_constant", "dilation", "division", "division_constant", "dst_1_to_1_signal", "enclosing_circle", "equalize_adapthist", "equalize_hist", "erase", "erosion", "exp", "extract_roi", "extract_rois", "farid", "farid_h", "farid_v", "fft", "flatfield", "fliph", "flipv", "gaussian_filter", "gaussian_freq_filter", "generate_image_grid_roi", "histogram", "horizontal_projection", "hough_circle_peaks", "ifft", "imag", "inverse", "laplace", "line_profile", "log10", "log10_z_plus_n", "magnitude_spectrum", "moving_average", "moving_median", "normalize", "offset_correction", "opening", "peak_detection", "phase", "phase_spectrum", "prewitt", "prewitt_h", "prewitt_v", "product", "product_constant", "psd", "quadratic_difference", "radial_profile", "real", "resampling", "rescale_intensity", "resize", "restore_data_outside_roi", "roberts", "rotate", "rotate90", "rotate270", "scharr", "scharr_h", "scharr_v", "segment_profile", "set_uniform_coords", "sobel", "sobel_h", "sobel_v", "standard_deviation", "stats", "threshold", "threshold_isodata", "threshold_li", "threshold_mean", "threshold_minimum", "threshold_otsu", "threshold_triangle", "threshold_yen", "transformer", "translate", "transpose", "vertical_projection", "white_tophat", "wiener", "zero_padding", ] class GridParam(gds.DataSet): """Grid parameters""" _prop = gds.GetAttrProp("direction") _directions = (("col", _("columns")), ("row", _("rows"))) direction = gds.ChoiceItem(_("Distribute over"), _directions, radio=True).set_prop( "display", store=_prop ) cols = gds.IntItem(_("Columns"), default=1, nonzero=True).set_prop( "display", active=gds.FuncProp(_prop, lambda x: x == "col") ) rows = gds.IntItem(_("Rows"), default=1, nonzero=True).set_prop( "display", active=gds.FuncProp(_prop, lambda x: x == "row") ) colspac = gds.FloatItem(_("Column spacing"), default=0.0, min=0.0) rowspac = gds.FloatItem(_("Row spacing"), default=0.0, min=0.0) Sigima-1.1.1/sigima/proc/image/arithmetic.py000066400000000000000000000263701514013333200207270ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """ Arithmetic computation module ----------------------------- This module provides arithmetic operations for images, such as pixel-wise addition, subtraction, multiplication, division, as well as operations with constants and combined arithmetic formulas. Main features include: - Pixel-wise addition, subtraction, multiplication, and division between images - Application of arithmetic operations with constants to images - Support for quadratic difference and general arithmetic expressions These functions are typically used for basic algebraic processing and normalization of image data. """ # pylint: disable=invalid-name # Allows short reference names like x, y, ... # Note: # ---- # - All `guidata.dataset.DataSet` parameter classes must also be imported # in the `sigima.params` module. # - All functions decorated by `computation_function` must be imported in the upper # level `sigima.proc.image` module. from __future__ import annotations import warnings import numpy as np from sigima.enums import MathOperator from sigima.objects.image import ImageObj from sigima.proc.base import ( ArithmeticParam, ConstantParam, ) from sigima.proc.decorator import computation_function from sigima.proc.image.base import ( dst_1_to_1, dst_2_to_1, dst_n_to_1, restore_data_outside_roi, ) from sigima.tools.datatypes import clip_astype # NOTE: Only parameter classes DEFINED in this module should be included in __all__. # Parameter classes imported from other modules (like sigima.proc.base) should NOT # be re-exported to avoid Sphinx cross-reference conflicts. The sigima.params module # serves as the central API point that imports and re-exports all parameter classes. __all__ = [ "addition", "addition_constant", "arithmetic", "average", "difference", "difference_constant", "division", "division", "division_constant", "product", "product_constant", "quadratic_difference", "standard_deviation", ] # MARK: compute_n_to_1 functions ------------------------------------------------------- # Functions with N input images and 1 output image # -------------------------------------------------------------------------------------- # Those functions are perfoming a computation on N input images and return a single # output image. If we were only executing these functions locally, we would not need # to define them here, but since we are using the multiprocessing module, we need to # define them here so that they can be pickled and sent to the worker processes. # Also, we need to systematically return the output image object, even if it is already # modified in place, because the multiprocessing module will not be able to retrieve # the modified object from the worker processes. @computation_function() def addition(src_list: list[ImageObj]) -> ImageObj: """Add images in the list and return the result image object Args: src_list: list of input image objects Returns: Output image object (modified in place) """ dst = dst_n_to_1(src_list, "Σ") # `dst` data is initialized to `src_list[0]` data for src in src_list[1:]: dst.data = np.add(dst.data, src.data, dtype=float) restore_data_outside_roi(dst, src_list[0]) return dst @computation_function() def average(src_list: list[ImageObj]) -> ImageObj: """Compute the average of images in the list and return the result image object Args: src_list: list of input image objects Returns: Output image object (modified in place) """ dst = dst_n_to_1(src_list, "µ") # `dst` data is initialized to `src_list[0]` data for src in src_list[1:]: dst.data = np.add(dst.data, src.data, dtype=float) dst.data /= len(src_list) restore_data_outside_roi(dst, src_list[0]) return dst @computation_function() def standard_deviation(src_list: list[ImageObj]) -> ImageObj: """Compute the element-wise standard deviation of multiple images. The first image in the list defines the "base" image. All other images are used to compute the element-wise standard deviation with the base image. .. note:: If all images share the same region of interest (ROI), the standard deviation is computed only within the ROI. .. warning:: It is assumed that all images have the same size and x-coordinates. Args: src_list: List of source images. Returns: Image object representing the standard deviation of the source images. """ dst = dst_n_to_1(src_list, "𝜎") # `dst` data is initialized to `src_list[0]` data assert dst.data is not None y_array = np.array([src.data for src in src_list], dtype=dst.data.dtype) dst.data = np.std(y_array, axis=0, ddof=0) restore_data_outside_roi(dst, src_list[0]) return dst @computation_function() def product(src_list: list[ImageObj]) -> ImageObj: """Multiply images in the list and return the result image object Args: src_list: list of input image objects Returns: Output image object (modified in place) """ dst = dst_n_to_1(src_list, "Π") # `dst` data is initialized to `src_list[0]` data for src in src_list[1:]: dst.data = np.multiply(dst.data, src.data, dtype=float) restore_data_outside_roi(dst, src_list[0]) return dst @computation_function() def addition_constant(src: ImageObj, p: ConstantParam) -> ImageObj: """Add **dst** and a constant value and return the new result image object Args: src: input image object p: constant value Returns: Result image object **src** + **p.value** (new object) """ # For the addition of a constant value, we convert the constant value to the same # data type as the input image, for consistency. value = np.array(p.value).astype(dtype=src.data.dtype) dst = dst_1_to_1(src, "+", str(value)) dst.data = np.add(src.data, value, dtype=float) restore_data_outside_roi(dst, src) return dst @computation_function() def difference_constant(src: ImageObj, p: ConstantParam) -> ImageObj: """Subtract a constant value from an image and return the new result image object Args: src: input image object p: constant value Returns: Result image object **src** - **p.value** (new object) """ # For the subtraction of a constant value, we convert the constant value to the same # data type as the input image, for consistency. value = np.array(p.value).astype(dtype=src.data.dtype) dst = dst_1_to_1(src, "-", str(value)) dst.data = np.subtract(src.data, value, dtype=float) restore_data_outside_roi(dst, src) return dst @computation_function() def product_constant(src: ImageObj, p: ConstantParam) -> ImageObj: """Multiply **dst** by a constant value and return the new result image object Args: src: input image object p: constant value Returns: Result image object **src** * **p.value** (new object) """ # For the multiplication by a constant value, we do not convert the constant value # to the same data type as the input image, because we want to allow the user to # multiply an image by a constant value of a different data type. The final data # type conversion ensures that the output image has the same data type as the input # image. dst = dst_1_to_1(src, "×", str(p.value)) dst.data = np.multiply(src.data, p.value, dtype=float) restore_data_outside_roi(dst, src) return dst @computation_function() def division_constant(src: ImageObj, p: ConstantParam) -> ImageObj: """Divide an image by a constant value and return the new result image object Args: src: input image object p: constant value Returns: Result image object **src** / **p.value** (new object) """ # For the division by a constant value, we do not convert the constant value to the # same data type as the input image, because we want to allow the user to divide an # image by a constant value of a different data type. The final data type conversion # ensures that the output image has the same data type as the input image. dst = dst_1_to_1(src, "/", str(p.value)) dst.data = np.divide(src.data, p.value, dtype=float) restore_data_outside_roi(dst, src) return dst # MARK: compute_2_to_1 functions ------------------------------------------------------- # Functions with N input images + 1 input image and N output images # -------------------------------------------------------------------------------------- @computation_function() def arithmetic(src1: ImageObj, src2: ImageObj, p: ArithmeticParam) -> ImageObj: """Compute arithmetic operation on two images Args: src1: input image object src2: input image object p: arithmetic parameters Returns: Result image object """ initial_dtype = src1.data.dtype title = p.operation.replace("obj1", "{0}").replace("obj2", "{1}") dst = src1.copy(title=title) o, a, b = p.operator, p.factor, p.constant # Apply operator if o in (MathOperator.MULTIPLY, MathOperator.DIVIDE) and a == 0.0: dst.data = np.ones_like(src1.data) * b elif o == MathOperator.ADD: dst.data = np.add(src1.data, src2.data, dtype=float) * a + b elif o == MathOperator.SUBTRACT: dst.data = np.subtract(src1.data, src2.data, dtype=float) * a + b elif o == MathOperator.MULTIPLY: dst.data = np.multiply(src1.data, src2.data, dtype=float) * a + b elif o == MathOperator.DIVIDE: dst.data = np.divide(src1.data, src2.data, dtype=float) * a + b # Eventually convert to initial data type if p.restore_dtype: dst.data = clip_astype(dst.data, initial_dtype) restore_data_outside_roi(dst, src1) return dst @computation_function() def difference(src1: ImageObj, src2: ImageObj) -> ImageObj: """Compute difference between two images Args: src1: input image object src2: input image object Returns: Result image object **src1** - **src2** (new object) """ dst = dst_2_to_1(src1, src2, "-") dst.data = np.subtract(src1.data, src2.data, dtype=float) restore_data_outside_roi(dst, src1) return dst @computation_function() def quadratic_difference(src1: ImageObj, src2: ImageObj) -> ImageObj: """Compute quadratic difference between two images Args: src1: input image object src2: input image object Returns: Result image object (**src1** - **src2**) / sqrt(2.0) (new object) """ dst = dst_2_to_1(src1, src2, "quadratic_difference") dst.data = np.subtract(src1.data, src2.data, dtype=float) / np.sqrt(2.0) restore_data_outside_roi(dst, src1) return dst @computation_function() def division(src1: ImageObj, src2: ImageObj) -> ImageObj: """Compute division between two images Args: src1: input image object src2: input image object Returns: Result image object **src1** / **src2** (new object) """ dst = dst_2_to_1(src1, src2, "/") with warnings.catch_warnings(): warnings.simplefilter("ignore", category=RuntimeWarning) dst.data = np.divide(src1.data, src2.data, dtype=float) restore_data_outside_roi(dst, src1) return dst Sigima-1.1.1/sigima/proc/image/base.py000066400000000000000000000272611514013333200175100ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """ Base computation module ----------------------- This module provides core classes and utility functions that serve as building blocks for the other computation modules. Main features include: - Generic helper functions used across image processing modules - Core wrappers and infrastructure for computation functions Intended primarily for internal use, these tools support consistent API design and code reuse. """ from __future__ import annotations from collections.abc import Callable from typing import Any import numpy as np from sigima.objects import NO_ROI, GeometryResult, ImageObj, KindShape, SignalObj from sigima.proc.base import dst_1_to_1 as _dst_1_to_1_base from sigima.proc.base import dst_2_to_1 as _dst_2_to_1_base from sigima.proc.base import dst_n_to_1 as _dst_n_to_1_base from sigima.proc.base import new_signal_result # NOTE: Only parameter classes DEFINED in this module should be included in __all__. # Parameter classes imported from other modules (like sigima.proc.base) should NOT # be re-exported to avoid Sphinx cross-reference conflicts. The sigima.params module # serves as the central API point that imports and re-exports all parameter classes. __all__ = [ "Wrap1to1Func", "compute_geometry_from_obj", "dst_1_to_1", "dst_1_to_1_signal", "dst_2_to_1", "dst_n_to_1", "restore_data_outside_roi", ] def _reset_lut_range(dst: ImageObj) -> None: """Reset LUT range so the image auto-scales on display.""" dst.zscalemin = None dst.zscalemax = None def dst_1_to_1(src: ImageObj, name: str, suffix: str | None = None) -> ImageObj: """Create a result image object for 1-to-1 processing. This is the image-specific version that resets the LUT range after copying, so the result image auto-scales to fit its new data range. Args: src: source image object name: name of the function suffix: suffix to add to the title Returns: Result image object with LUT range reset """ dst = _dst_1_to_1_base(src, name, suffix) _reset_lut_range(dst) return dst def dst_2_to_1( src1: ImageObj, src2: ImageObj, name: str, suffix: str | None = None ) -> ImageObj: """Create a result image object for 2-to-1 processing. This is the image-specific version that resets the LUT range after copying, so the result image auto-scales to fit its new data range. Args: src1: first source image object src2: second source image object name: name of the function suffix: suffix to add to the title Returns: Result image object with LUT range reset """ dst = _dst_2_to_1_base(src1, src2, name, suffix) _reset_lut_range(dst) return dst def dst_n_to_1( src_list: list[ImageObj], name: str, suffix: str | None = None ) -> ImageObj: """Create a result image object for n-to-1 processing. This is the image-specific version that resets the LUT range after copying, so the result image auto-scales to fit its new data range. Args: src_list: list of source image objects name: name of the function suffix: suffix to add to the title Returns: Result image object with LUT range reset """ dst = _dst_n_to_1_base(src_list, name, suffix) _reset_lut_range(dst) return dst def restore_data_outside_roi(dst: ImageObj, src: ImageObj) -> None: """Restore data outside the Region Of Interest (ROI) of the input image after a computation, only if the input image has a ROI, and if the output image has the same ROI as the input image, and if the data types are compatible, and if the shapes are the same. Otherwise, do nothing. Args: dst: output image object src: input image object """ if src.maskdata is not None and dst.maskdata is not None: if ( np.array_equal(src.maskdata, dst.maskdata) and ( dst.data.dtype == src.data.dtype or not np.issubdtype(dst.data.dtype, np.integer) ) and dst.data.shape == src.data.shape ): dst.data[src.maskdata] = src.data[src.maskdata] class Wrap1to1Func: """Wrap a 1 array → 1 array function to produce a 1 image → 1 image function, which can be used as a Sigima computation function and inside DataLab's infrastructure to perform computations with the Image Processor object. This wrapping mechanism using a class is necessary for the resulted function to be pickable by the ``multiprocessing`` module. The instance of this wrapper is callable and returns a :class:`sigima.objects.ImageObj` object. Example: >>> import numpy as np >>> from sigima.proc.image import Wrap1to1Func >>> import sigima.objects >>> def add_noise(data): ... return data + np.random.random(data.shape) >>> compute_add_noise = Wrap1to1Func(add_noise) >>> data= np.ones((100, 100)) >>> ima0 = sigima.objects.create_image("Example", data) >>> ima1 = compute_add_noise(ima0) Args: func: 1 array → 1 array function *args: Additional positional arguments to pass to the function **kwargs: Additional keyword arguments to pass to the function .. note:: If `func_name` is provided in the keyword arguments, it will be used as the function name instead of the default name derived from the function itself. """ def __init__(self, func: Callable, *args: Any, **kwargs: Any) -> None: self.func = func self.args = args self.kwargs = kwargs self.__name__ = self.kwargs.pop("func_name", func.__name__) self.__doc__ = func.__doc__ self.__call__.__func__.__doc__ = self.func.__doc__ def __call__(self, src: ImageObj) -> ImageObj: """Compute the function on the input image and return the result image Args: src: input image object Returns: Output image object """ suffix = ", ".join( [str(arg) for arg in self.args] + [f"{k}={v}" for k, v in self.kwargs.items() if v is not None] ) dst = dst_1_to_1(src, self.__name__, suffix) dst.data = self.func(src.data, *self.args, **self.kwargs) restore_data_outside_roi(dst, src) return dst def dst_1_to_1_signal(src: ImageObj, name: str, suffix: str | None = None) -> SignalObj: """Create a result signal object, for processing functions that take a single image object as input and return a single signal object (1-to-1-signal). Args: src: input image object name: name of the processing function Returns: Output signal object """ return new_signal_result( src, name, suffix, (src.xunit, src.zunit), (src.xlabel, src.zlabel) ) def compute_geometry_from_obj( title: str, shape: KindShape, obj: ImageObj, func: Callable, *args: Any, ) -> GeometryResult | None: """Compute a geometry shape from an image object by executing a computation function on the data of the image object, for each ROI (Region Of Interest) in the image. Args: title: result title shape: result shape kind obj: input image object func: computation function *args: computation function arguments Returns: A geometry result object or None if no result is found. .. important:: **Coordinate Conversion**: This function automatically converts coordinates from pixel units (image indices) to physical units using the image object's calibration information. - **Input**: Computation function returns coordinates in pixel units - **Output**: GeometryResult with coordinates in physical units (e.g., mm, µm) The conversion is performed using the image's calibration parameters: ``physical_x = obj.dx * pixel_x + obj.x0`` and ``physical_y = obj.dy * pixel_y + obj.y0`` .. warning:: The computation function must take either a single argument (the data) or multiple arguments (the data followed by the computation parameters). Moreover, the computation function must return a single value or a NumPy array containing the result of the computation. This array contains the coordinates of points, polygons, circles or ellipses in the form [[x, y], ...], or [[x0, y0, x1, y1, ...], ...], or [[x0, y0, r], ...], or [[x0, y0, a, b, theta], ...]. Example: >>> # func returns pixel coordinates like [[10, 20], [30, 40]] >>> result = compute_geometry_from_obj( ... "Points", KindShape.POINT, image_obj, func ... ) >>> # result.coords now contains physical coordinates like [[0.5, 1.0], >>> # [1.5, 2.0]] See Also: :class:`~sigima.objects.scalar.GeometryResult`: The result object that stores physical coordinates. """ rows: list[np.ndarray] = [] num_cols: list[int] = [] roi_idx: list[int] = [] for i_roi in obj.iterate_roi_indices(): data_roi = obj.get_data(i_roi) if args is None: coords: np.ndarray = func(data_roi) else: coords: np.ndarray = func(data_roi, *args) # This is a very long condition, but it's still quite readable, so we keep it # as is and disable the pylint warning. # # pylint: disable=too-many-boolean-expressions if not isinstance(coords, np.ndarray) or ( ( coords.ndim != 2 or coords.shape[1] < 2 or (coords.shape[1] > 5 and coords.shape[1] % 2 != 0) ) and coords.size > 0 ): raise ValueError( f"Computation function {func.__name__} must return a NumPy array " f"containing coordinates of points, polygons, circles or ellipses " f"(in the form [[x, y], ...], or [[x0, y0, x1, y1, ...], ...], or " f"[[x0, y0, r], ...], or [[x0, y0, a, b, theta], ...]), or an empty " f"array." ) if coords.size: coords = np.array(coords, dtype=float) if coords.shape[1] % 2 == 0: # Coordinates are in the form [x0, y0, x1, y1, ...] colx, coly = slice(None, None, 2), slice(1, None, 2) else: # Circle [x0, y0, r] or ellipse coordinates [x0, y0, a, b, theta] colx, coly = 0, 1 coords[:, colx] = obj.dx * coords[:, colx] + obj.x0 coords[:, coly] = obj.dy * coords[:, coly] + obj.y0 if obj.roi is not None: x0, y0, _x1, _y1 = obj.roi.get_single_roi(i_roi).get_bounding_box(obj) coords[:, colx] += x0 - obj.x0 coords[:, coly] += y0 - obj.y0 rows.append(coords) num_cols.append(coords.shape[1]) roi_idx.extend([NO_ROI if i_roi is None else int(i_roi)] * coords.shape[0]) if rows: if len(set(num_cols)) != 1: # This happens when the number of columns is not the same for all ROIs. # As of now, this happens only for polygon contours. # We need to pad the arrays with NaNs. max_cols = max(num_cols) num_rows = sum(coords.shape[0] for coords in rows) array = np.full((num_rows, max_cols), np.nan) start = 0 for row in rows: array[start : start + row.shape[0], : row.shape[1]] = row start += row.shape[0] else: array = np.vstack(rows) return GeometryResult(title, shape, array, np.asarray(roi_idx, dtype=int)) return None Sigima-1.1.1/sigima/proc/image/detection.py000066400000000000000000000453471514013333200205610ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """ Detection computation module ---------------------------- This module provides algorithms for detecting objects or patterns in images, such as blobs, peaks, or custom structures. Main features include: - Blob and peak detection algorithms - Support for object localization and counting Detection algorithms are fundamental for many image analysis pipelines, enabling automated extraction of regions or features of interest. """ # pylint: disable=invalid-name # Allows short reference names like x, y, ... # Note: # ---- # All dataset classes must also be imported in the sigima.params module. from __future__ import annotations import guidata.dataset as gds import sigima.enums import sigima.tools.image from sigima.config import _ from sigima.objects import ( GeometryResult, ImageObj, KindShape, create_image_roi_around_points, ) from sigima.proc.decorator import computation_function from sigima.proc.image.base import compute_geometry_from_obj # NOTE: Only parameter classes DEFINED in this module should be included in __all__. # Parameter classes imported from other modules (like sigima.proc.base) should NOT # be re-exported to avoid Sphinx cross-reference conflicts. The sigima.params module # serves as the central API point that imports and re-exports all parameter classes. __all__ = [ "BaseBlobParam", "BlobDOGParam", "BlobDOHParam", "BlobLOGParam", "BlobOpenCVParam", "ContourShapeParam", "DetectionROIParam", "GenericDetectionParam", "HoughCircleParam", "Peak2DDetectionParam", "apply_detection_rois", "blob_dog", "blob_doh", "blob_log", "blob_opencv", "contour_shape", "hough_circle_peaks", "peak_detection", "store_roi_creation_metadata", ] class DetectionROIParam(gds.DataSet): """ROI creation parameters for detection algorithms. This class can be inherited by any detection parameter class to provide standardized ROI creation functionality. """ _roi_g = gds.BeginGroup(_("Regions of interest")) _prop_create_rois = gds.ValueProp(False) create_rois = gds.BoolItem( _("Create regions of interest"), default=False, help=_( "Regions of interest will be created around detected features, " "if at least two features are detected.\n" "ROI size is optimized based on feature spacing." ), ).set_prop("display", store=_prop_create_rois) roi_geometry = gds.ChoiceItem( _("ROI geometry"), sigima.enums.DetectionROIGeometry, default=sigima.enums.DetectionROIGeometry.RECTANGLE, ).set_prop("display", active=_prop_create_rois) _roi_g_e = gds.EndGroup(_("Regions of interest")) def store_roi_creation_metadata( geometry: GeometryResult | None, create_rois: bool, roi_geometry: sigima.enums.DetectionROIGeometry | None = None, ) -> GeometryResult | None: """Store ROI creation metadata in geometry result attributes. This function is called by computation functions to mark that ROI creation should be performed on the result. The actual ROI creation is done later via apply_detection_rois(). Args: geometry: Geometry result from detection create_rois: Whether to create ROIs roi_geometry: ROI geometry type (if None, uses default RECTANGLE) Returns: The same geometry object (for chaining), or None if geometry is None Example: >>> geometry = compute_geometry_from_obj(...) >>> return store_roi_creation_metadata(geometry, p.create_rois, p.roi_geometry) """ if geometry is not None and create_rois and len(geometry) > 1: geometry.attrs["create_rois"] = True if roi_geometry is None: roi_geometry = sigima.enums.DetectionROIGeometry.RECTANGLE # Store as string value for HDF5 serialization compatibility geometry.attrs["roi_geometry"] = roi_geometry.value return geometry def apply_detection_rois( obj: ImageObj, geometry: GeometryResult, force: bool = False, roi_geometry: sigima.enums.DetectionROIGeometry | None = None, ) -> bool: """Apply ROI creation from detection geometry result. This function checks if the geometry result contains ROI creation metadata and applies it to the image object by creating ROIs around detected features. Args: obj: Image object to modify geometry: Geometry result from a detection function force: If True, create ROIs even if not requested in the result attrs roi_geometry: Override ROI geometry from attrs (if None, uses attrs value) Returns: True if ROIs were created, False otherwise Example: >>> from sigima.proc.image import peak_detection, apply_detection_rois >>> from sigima.params import Peak2DDetectionParam >>> param = Peak2DDetectionParam() >>> param.create_rois = True >>> geometry = peak_detection(img, param) >>> apply_detection_rois(img, geometry) # Creates ROIs on img """ if geometry is None: return False # Check if ROI creation was requested (or forced) create_rois = force or geometry.attrs.get("create_rois", False) if not create_rois or len(geometry) < 2: return False # Get ROI geometry from parameter, attrs, or use default if roi_geometry is None: roi_geometry = geometry.attrs.get( "roi_geometry", sigima.enums.DetectionROIGeometry.RECTANGLE, ) # Get detection coordinates (centers of detected objects) coords = geometry.centers() try: obj.roi = create_image_roi_around_points(coords, roi_geometry=roi_geometry) return True except ValueError: return False class GenericDetectionParam(gds.DataSet): """Generic detection parameters""" threshold = gds.FloatItem( _("Relative threshold"), default=0.5, min=0.1, max=0.9, help=_( "Detection threshold, relative to difference between " "data maximum and minimum" ), ) class Peak2DDetectionParam(DetectionROIParam, GenericDetectionParam): """Peak detection parameters""" size = gds.IntItem( _("Neighborhoods size"), default=None, check=False, # Allow None value min=1, unit="pixels", help=_( "Size of the sliding window used in maximum/minimum filtering algorithm " "(if no value is provided, the algorithm will use a default size " "based on the image size). " ), ) @computation_function() def peak_detection(obj: ImageObj, p: Peak2DDetectionParam) -> GeometryResult | None: """Compute 2D peak detection with :py:func:`sigima.tools.image.get_2d_peaks_coords` Args: obj: input image p: parameters Returns: Peak coordinates (with ROI creation info in attrs if requested) """ geometry = compute_geometry_from_obj( "peak", KindShape.POINT, obj, sigima.tools.image.get_2d_peaks_coords, p.size, p.threshold, ) return store_roi_creation_metadata(geometry, p.create_rois, p.roi_geometry) class ContourShapeParam(GenericDetectionParam): """Contour shape parameters""" # Keep choices aligned with supported geometry kinds assert set(item.name for item in sigima.enums.ContourShape).issubset( set(item.name for item in KindShape) ) shape = gds.ChoiceItem(_("Shape"), sigima.enums.ContourShape) @computation_function() def contour_shape(image: ImageObj, p: ContourShapeParam) -> GeometryResult | None: """Compute contour shape with :py:func:`sigima.tools.image.get_contour_shapes`.""" shape: sigima.enums.ContourShape = p.shape kindshape = getattr(KindShape, shape.name) geometry = compute_geometry_from_obj( "contour", kindshape, image, sigima.tools.image.get_contour_shapes, shape, p.threshold, ) return geometry class BaseBlobParam(gds.DataSet): """Base class for blob detection parameters""" min_sigma = gds.FloatItem( "σmin", default=10.0, unit="pixels", min=0, nonzero=True, help=_( "The minimum standard deviation for Gaussian Kernel. " "Keep this low to detect smaller blobs." ), ) max_sigma = gds.FloatItem( "σmax", default=30.0, unit="pixels", min=0, nonzero=True, help=_( "The maximum standard deviation for Gaussian Kernel. " "Keep this high to detect larger blobs." ), ) threshold_rel = gds.FloatItem( _("Relative threshold"), default=0.2, min=0.0, max=1.0, help=_("Minimum intensity of blobs."), ) overlap = gds.FloatItem( _("Overlap"), default=0.5, min=0.0, max=1.0, help=_( "If two blobs overlap by a fraction greater than this value, the " "smaller blob is eliminated." ), ) class BlobDOGParam(DetectionROIParam, BaseBlobParam): """Blob detection using Difference of Gaussian method""" exclude_border = gds.BoolItem( _("Exclude border"), default=True, help=_("If True, exclude blobs from the border of the image."), ) @computation_function() def blob_dog(image: ImageObj, p: BlobDOGParam) -> GeometryResult | None: """Compute blobs using Difference of Gaussian method with :py:func:`sigima.tools.image.find_blobs_dog` Args: imageOutput: input image p: parameters Returns: Blobs coordinates (with ROI creation info in attrs if requested) """ geometry = compute_geometry_from_obj( "blob_dog", KindShape.CIRCLE, image, sigima.tools.image.find_blobs_dog, p.min_sigma, p.max_sigma, p.overlap, p.threshold_rel, p.exclude_border, ) return store_roi_creation_metadata(geometry, p.create_rois, p.roi_geometry) class BlobDOHParam(DetectionROIParam, BaseBlobParam): """Blob detection using Determinant of Hessian method""" log_scale = gds.BoolItem( _("Log scale"), default=False, help=_( "If set intermediate values of standard deviations are interpolated " "using a logarithmic scale to the base 10. " "If not, linear interpolation is used." ), ) @computation_function() def blob_doh(image: ImageObj, p: BlobDOHParam) -> GeometryResult | None: """Compute blobs using Determinant of Hessian method with :py:func:`sigima.tools.image.find_blobs_doh` Args: imageOutput: input image p: parameters Returns: Blobs coordinates (with ROI creation info in attrs if requested) """ geometry = compute_geometry_from_obj( "blob_doh", KindShape.CIRCLE, image, sigima.tools.image.find_blobs_doh, p.min_sigma, p.max_sigma, p.overlap, p.log_scale, p.threshold_rel, ) return store_roi_creation_metadata(geometry, p.create_rois, p.roi_geometry) class BlobLOGParam(BlobDOHParam): """Blob detection using Laplacian of Gaussian method""" exclude_border = gds.BoolItem( _("Exclude border"), default=True, help=_("If True, exclude blobs from the border of the image."), ) @computation_function() def blob_log(image: ImageObj, p: BlobLOGParam) -> GeometryResult | None: """Compute blobs using Laplacian of Gaussian method with :py:func:`sigima.tools.image.find_blobs_log` Args: imageOutput: input image p: parameters Returns: Blobs coordinates (with ROI creation info in attrs if requested) """ geometry = compute_geometry_from_obj( "blob_log", KindShape.CIRCLE, image, sigima.tools.image.find_blobs_log, p.min_sigma, p.max_sigma, p.overlap, p.log_scale, p.threshold_rel, p.exclude_border, ) return store_roi_creation_metadata(geometry, p.create_rois, p.roi_geometry) class BlobOpenCVParam(DetectionROIParam, gds.DataSet): """Blob detection using OpenCV""" min_threshold = gds.FloatItem( _("Min. threshold"), default=10.0, min=0.0, help=_( "The minimum threshold between local maxima and minima. " "This parameter does not affect the quality of the blobs, " "only the quantity. Lower thresholds result in larger " "numbers of blobs." ), ) max_threshold = gds.FloatItem( _("Max. threshold"), default=200.0, min=0.0, help=_( "The maximum threshold between local maxima and minima. " "This parameter does not affect the quality of the blobs, " "only the quantity. Lower thresholds result in larger " "numbers of blobs." ), ) min_repeatability = gds.IntItem( _("Min. repeatability"), default=2, min=1, help=_( "The minimum number of times a blob needs to be detected " "in a sequence of images to be considered valid." ), ) min_dist_between_blobs = gds.FloatItem( _("Min. distance between blobs"), default=10.0, min=0.0, nonzero=True, help=_( "The minimum distance between two blobs. If blobs are found " "closer together than this distance, the smaller blob is removed." ), ) _prop_col = gds.ValueProp(False) filter_by_color = gds.BoolItem( _("Filter by color"), default=True, help=_("If true, the image is filtered by color instead of intensity."), ).set_prop("display", store=_prop_col) blob_color = gds.IntItem( _("Blob color"), default=0, help=_( "The color of the blobs to detect (0 for dark blobs, 255 for light blobs)." ), ).set_prop("display", active=_prop_col) _prop_area = gds.ValueProp(False) filter_by_area = gds.BoolItem( _("Filter by area"), default=True, help=_("If true, the image is filtered by blob area."), ).set_prop("display", store=_prop_area) min_area = gds.FloatItem( _("Min. area"), default=25.0, min=0.0, help=_("The minimum blob area."), ).set_prop("display", active=_prop_area) max_area = gds.FloatItem( _("Max. area"), default=500.0, min=0.0, help=_("The maximum blob area."), ).set_prop("display", active=_prop_area) _prop_circ = gds.ValueProp(False) filter_by_circularity = gds.BoolItem( _("Filter by circularity"), default=False, help=_("If true, the image is filtered by blob circularity."), ).set_prop("display", store=_prop_circ) min_circularity = gds.FloatItem( _("Min. circularity"), default=0.8, min=0.0, max=1.0, help=_("The minimum circularity of the blobs."), ).set_prop("display", active=_prop_circ) max_circularity = gds.FloatItem( _("Max. circularity"), default=1.0, min=0.0, max=1.0, help=_("The maximum circularity of the blobs."), ).set_prop("display", active=_prop_circ) _prop_iner = gds.ValueProp(False) filter_by_inertia = gds.BoolItem( _("Filter by inertia"), default=False, help=_("If true, the image is filtered by blob inertia."), ).set_prop("display", store=_prop_iner) min_inertia_ratio = gds.FloatItem( _("Min. inertia ratio"), default=0.6, min=0.0, max=1.0, help=_("The minimum inertia ratio of the blobs."), ).set_prop("display", active=_prop_iner) max_inertia_ratio = gds.FloatItem( _("Max. inertia ratio"), default=1.0, min=0.0, max=1.0, help=_("The maximum inertia ratio of the blobs."), ).set_prop("display", active=_prop_iner) _prop_conv = gds.ValueProp(False) filter_by_convexity = gds.BoolItem( _("Filter by convexity"), default=False, help=_("If true, the image is filtered by blob convexity."), ).set_prop("display", store=_prop_conv) min_convexity = gds.FloatItem( _("Min. convexity"), default=0.8, min=0.0, max=1.0, help=_("The minimum convexity of the blobs."), ).set_prop("display", active=_prop_conv) max_convexity = gds.FloatItem( _("Max. convexity"), default=1.0, min=0.0, max=1.0, help=_("The maximum convexity of the blobs."), ).set_prop("display", active=_prop_conv) @computation_function() def blob_opencv(image: ImageObj, p: BlobOpenCVParam) -> GeometryResult | None: """Compute blobs using OpenCV with :py:func:`sigima.tools.image.find_blobs_opencv` Args: imageOutput: input image p: parameters Returns: Blobs coordinates (with ROI creation info in attrs if requested) """ geometry = compute_geometry_from_obj( "blob_opencv", KindShape.CIRCLE, image, sigima.tools.image.find_blobs_opencv, p.min_threshold, p.max_threshold, p.min_repeatability, p.min_dist_between_blobs, p.filter_by_color, p.blob_color, p.filter_by_area, p.min_area, p.max_area, p.filter_by_circularity, p.min_circularity, p.max_circularity, p.filter_by_inertia, p.min_inertia_ratio, p.max_inertia_ratio, p.filter_by_convexity, p.min_convexity, p.max_convexity, ) return store_roi_creation_metadata(geometry, p.create_rois, p.roi_geometry) class HoughCircleParam(DetectionROIParam, gds.DataSet): """Circle Hough transform parameters""" min_radius = gds.IntItem( _("Radiusmin"), unit="pixels", min=0, nonzero=True ) max_radius = gds.IntItem( _("Radiusmax"), unit="pixels", min=0, nonzero=True ) min_distance = gds.IntItem(_("Minimal distance"), min=0) @computation_function() def hough_circle_peaks(image: ImageObj, p: HoughCircleParam) -> GeometryResult | None: """Compute Hough circles with :py:func:`sigima.tools.image.get_hough_circle_peaks` Args: image: input image p: parameters Returns: Circle coordinates (with ROI creation info in attrs if requested) """ geometry = compute_geometry_from_obj( "hough_circle_peak", KindShape.CIRCLE, image, sigima.tools.image.get_hough_circle_peaks, p.min_radius, p.max_radius, None, p.min_distance, ) return store_roi_creation_metadata(geometry, p.create_rois, p.roi_geometry) Sigima-1.1.1/sigima/proc/image/edges.py000066400000000000000000000203301514013333200176530ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """ Edge detection computation module. ---------------------------------- This module implements edge detection computation functions, enabling the identification of boundaries in an image. Edge detection may be used for image segmentation, shape analysis, and feature extraction. Methods rely on detection of significant transitions in pixel intensity. Available filters (in alphabetical order): * canny: Canny edge detector * farid: Farid filter * farid_h: Horizontal Farid filter * farid_v: Vertical Farid filter * laplace: Laplace filter * prewitt: Prewitt filter * prewitt_h: Horizontal Prewitt filter * prewitt_v: Vertical Prewitt filter * roberts: Roberts filter * scharr: Scharr filter * scharr_h: Horizontal Scharr filter * scharr_v: Vertical Scharr filter * sobel: Sobel filter * sobel_h: Horizontal Sobel filter * sobel_v: Vertical Sobel filter """ # pylint: disable=invalid-name # Allows short names like x, y... # Note: # ---- # - All `guidata.dataset.DataSet` parameter classes must also be imported in the # `sigima.params` module. # - All functions decorated with `computation_function` must be imported in the upper # level `sigima.proc.image` module. from __future__ import annotations import guidata.dataset as gds # type: ignore[import] from skimage import feature, filters # type: ignore[import] from skimage.util import img_as_ubyte # type: ignore[import] from sigima.config import _ from sigima.enums import FilterMode from sigima.objects.image import ImageObj from sigima.proc.decorator import computation_function from sigima.proc.image.base import Wrap1to1Func, dst_1_to_1, restore_data_outside_roi # NOTE: Only parameter classes DEFINED in this module should be included in __all__. # Parameter classes imported from other modules (like sigima.proc.base) should NOT # be re-exported to avoid Sphinx cross-reference conflicts. The sigima.params module # serves as the central API point that imports and re-exports all parameter classes. __all__ = [ "CannyParam", "canny", "farid", "farid_h", "farid_v", "laplace", "prewitt", "prewitt_h", "prewitt_v", "roberts", "scharr", "scharr_h", "scharr_v", "sobel", "sobel_h", "sobel_v", ] class CannyParam(gds.DataSet): """Canny filter parameters.""" sigma = gds.FloatItem( "Sigma", default=1.0, unit="pixels", min=0.0, nonzero=True, help=_("Standard deviation of the Gaussian filter."), ) low_threshold = gds.FloatItem( _("Low threshold"), default=0.1, min=0.0, help=_("Lower bound for hysteresis thresholding (linking edges)."), ) high_threshold = gds.FloatItem( _("High threshold"), default=0.9, min=0.0, help=_("Upper bound for hysteresis thresholding (linking edges)."), ) use_quantiles = gds.BoolItem( _("Use quantiles"), default=True, help=_( "If True then treat low_threshold and high_threshold as quantiles " "of the edge magnitude image, rather than absolute edge magnitude " "values. If True then the thresholds must be in the range [0, 1]." ), ) mode = gds.ChoiceItem(_("Mode"), FilterMode, default=FilterMode.CONSTANT) cval = gds.FloatItem( "cval", default=0.0, help=_("Value to fill past edges of input if mode is constant."), ) @computation_function() def canny(src: ImageObj, p: CannyParam) -> ImageObj: """Compute Canny filter with :py:func:`skimage.feature.canny`. Args: src: Input image object. p: Parameters. Returns: Output image object. """ dst = dst_1_to_1( src, "canny", f"sigma={p.sigma}, low_threshold={p.low_threshold}, " f"high_threshold={p.high_threshold}, use_quantiles={p.use_quantiles}, " f"mode={p.mode}, cval={p.cval}", ) dst.data = img_as_ubyte( feature.canny( src.data, sigma=p.sigma, low_threshold=p.low_threshold, high_threshold=p.high_threshold, use_quantiles=p.use_quantiles, mode=p.mode, cval=p.cval, ) ) restore_data_outside_roi(dst, src) return dst @computation_function() def farid(src: ImageObj) -> ImageObj: """Compute Farid filter with :py:func:`skimage.filters.farid`. Args: src: Input image object. Returns: Output image object. """ return Wrap1to1Func(filters.farid)(src) @computation_function() def farid_h(src: ImageObj) -> ImageObj: """Compute horizontal Farid filter with :py:func:`skimage.filters.farid_h`. Args: src: Input image object. Returns: Output image object. """ return Wrap1to1Func(filters.farid_h)(src) @computation_function() def farid_v(src: ImageObj) -> ImageObj: """Compute vertical Farid filter with :py:func:`skimage.filters.farid_v`. Args: src: Input image object. Returns: Output image object. """ return Wrap1to1Func(filters.farid_v)(src) @computation_function() def laplace(src: ImageObj) -> ImageObj: """Compute Laplace filter with :py:func:`skimage.filters.laplace`. Args: src: Input image object. Returns: Output image object. """ return Wrap1to1Func(filters.laplace)(src) @computation_function() def prewitt(src: ImageObj) -> ImageObj: """Compute Prewitt filter with :py:func:`skimage.filters.prewitt`. Args: src: Input image object. Returns: Output image object. """ return Wrap1to1Func(filters.prewitt)(src) @computation_function() def prewitt_h(src: ImageObj) -> ImageObj: """Compute horizontal Prewitt filter with :py:func:`skimage.filters.prewitt_h`. Args: src: Input image object. Returns: Output image object. """ return Wrap1to1Func(filters.prewitt_h)(src) @computation_function() def prewitt_v(src: ImageObj) -> ImageObj: """Compute vertical Prewitt filter with :py:func:`skimage.filters.prewitt_v`. Args: src: Input image object. Returns: Output image object. """ return Wrap1to1Func(filters.prewitt_v)(src) @computation_function() def roberts(src: ImageObj) -> ImageObj: """Compute Roberts filter with :py:func:`skimage.filters.roberts`. Args: src: Input image object. Returns: Output image object. """ return Wrap1to1Func(filters.roberts)(src) @computation_function() def scharr(src: ImageObj) -> ImageObj: """Compute Scharr filter with :py:func:`skimage.filters.scharr`. Args: src: Input image object. Returns: Output image object. """ return Wrap1to1Func(filters.scharr)(src) @computation_function() def scharr_h(src: ImageObj) -> ImageObj: """Compute horizontal Scharr filter with :py:func:`skimage.filters.scharr_h`. Args: src: Input image object. Returns: Output image object. """ return Wrap1to1Func(filters.scharr_h)(src) @computation_function() def sobel(src: ImageObj) -> ImageObj: """Compute Sobel filter with :py:func:`skimage.filters.sobel`. Args: src: Input image object. Returns: Output image object. """ return Wrap1to1Func(filters.sobel)(src) @computation_function() def sobel_h(src: ImageObj) -> ImageObj: """Compute horizontal Sobel filter with :py:func:`skimage.filters.sobel_h`. Args: src: Input image object. Returns: Output image object. """ return Wrap1to1Func(filters.sobel_h)(src) @computation_function() def sobel_v(src: ImageObj) -> ImageObj: """Compute vertical Sobel filter with :py:func:`skimage.filters.sobel_v`. Args: src: Input image object. Returns: Output image object. """ return Wrap1to1Func(filters.sobel_v)(src) @computation_function() def scharr_v(src: ImageObj) -> ImageObj: """Compute vertical Scharr filter with :py:func:`skimage.filters.scharr_v`. Args: src: Input image object. Returns: Output image object. """ return Wrap1to1Func(filters.scharr_v)(src) Sigima-1.1.1/sigima/proc/image/exposure.py000066400000000000000000000254021514013333200204430ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """ Exposure computation module --------------------------- This module provides tools for adjusting and analyzing image exposure and contrast. Main features include: - Histogram computation and equalization - Contrast adjustment and normalization - Logarithmic and gamma correction Exposure processing improves the visual quality and interpretability of images, especially under variable lighting conditions. """ # pylint: disable=invalid-name # Allows short reference names like x, y, ... # Note: # ---- # - All `guidata.dataset.DataSet` parameter classes must also be imported # in the `sigima.params` module. # - All functions decorated by `computation_function` must be imported in the upper # level `sigima.proc.image` module. from __future__ import annotations import guidata.dataset as gds import numpy as np from skimage import exposure import sigima.enums import sigima.tools.image from sigima.config import _ from sigima.objects.image import ImageObj, ROI2DParam from sigima.objects.signal import SignalObj from sigima.proc.base import ( ClipParam, HistogramParam, NormalizeParam, new_signal_result, ) from sigima.proc.decorator import computation_function from sigima.proc.image.base import ( Wrap1to1Func, dst_1_to_1, dst_2_to_1, restore_data_outside_roi, ) # NOTE: Only parameter classes DEFINED in this module should be included in __all__. # Parameter classes imported from other modules (like sigima.proc.base) should NOT # be re-exported to avoid Sphinx cross-reference conflicts. The sigima.params module # serves as the central API point that imports and re-exports all parameter classes. __all__ = [ "AdjustGammaParam", "AdjustLogParam", "AdjustSigmoidParam", "EqualizeAdaptHistParam", "EqualizeHistParam", "FlatFieldParam", "RescaleIntensityParam", "adjust_gamma", "adjust_log", "adjust_sigmoid", "clip", "equalize_adapthist", "equalize_hist", "flatfield", "histogram", "normalize", "offset_correction", "rescale_intensity", ] class AdjustGammaParam(gds.DataSet): """Gamma adjustment parameters""" gamma = gds.FloatItem( _("Gamma"), default=1.0, min=0.0, help=_("Gamma correction factor (higher values give more contrast)."), ) gain = gds.FloatItem( _("Gain"), default=1.0, min=0.0, help=_("Gain factor (higher values give more contrast)."), ) @computation_function() def adjust_gamma(src: ImageObj, p: AdjustGammaParam) -> ImageObj: """Gamma correction with :py:func:`skimage.exposure.adjust_gamma` Args: src: input image object p: parameters Returns: Output image object """ dst = dst_1_to_1(src, "adjust_gamma", f"gamma={p.gamma}, gain={p.gain}") dst.data = exposure.adjust_gamma(src.data, gamma=p.gamma, gain=p.gain) restore_data_outside_roi(dst, src) return dst class AdjustLogParam(gds.DataSet): """Logarithmic adjustment parameters""" gain = gds.FloatItem( _("Gain"), default=1.0, min=0.0, help=_("Gain factor (higher values give more contrast)."), ) inv = gds.BoolItem( _("Inverse"), default=False, help=_("If True, apply inverse logarithmic transformation."), ) @computation_function() def adjust_log(src: ImageObj, p: AdjustLogParam) -> ImageObj: """Compute log correction with :py:func:`skimage.exposure.adjust_log` Args: src: input image object p: parameters Returns: Output image object """ dst = dst_1_to_1(src, "adjust_log", f"gain={p.gain}, inv={p.inv}") dst.data = exposure.adjust_log(src.data, gain=p.gain, inv=p.inv) restore_data_outside_roi(dst, src) return dst class AdjustSigmoidParam(gds.DataSet): """Sigmoid adjustment parameters""" cutoff = gds.FloatItem( _("Cutoff"), default=0.5, min=0.0, max=1.0, help=_("Cutoff value (higher values give more contrast)."), ) gain = gds.FloatItem( _("Gain"), default=10.0, min=0.0, help=_("Gain factor (higher values give more contrast)."), ) inv = gds.BoolItem( _("Inverse"), default=False, help=_("If True, apply inverse sigmoid transformation."), ) @computation_function() def adjust_sigmoid(src: ImageObj, p: AdjustSigmoidParam) -> ImageObj: """Compute sigmoid correction with :py:func:`skimage.exposure.adjust_sigmoid` Args: src: input image object p: parameters Returns: Output image object """ dst = dst_1_to_1( src, "adjust_sigmoid", f"cutoff={p.cutoff}, gain={p.gain}, inv={p.inv}" ) dst.data = exposure.adjust_sigmoid( src.data, cutoff=p.cutoff, gain=p.gain, inv=p.inv ) restore_data_outside_roi(dst, src) return dst class RescaleIntensityParam(gds.DataSet): """Intensity rescaling parameters""" _dtype_list = ["image", "dtype"] + ImageObj.get_valid_dtypenames() in_range = gds.ChoiceItem( _("Input range"), list(zip(_dtype_list, _dtype_list)), default="image", help=_( "Min and max intensity values of input image ('image' refers to input " "image min/max levels, 'dtype' refers to input image data type range)." ), ) out_range = gds.ChoiceItem( _("Output range"), list(zip(_dtype_list, _dtype_list)), default="dtype", help=_( "Min and max intensity values of output image ('image' refers to input " "image min/max levels, 'dtype' refers to input image data type range).." ), ) @computation_function() def rescale_intensity(src: ImageObj, p: RescaleIntensityParam) -> ImageObj: """Rescale image intensity levels with :py:func:`skimage.exposure.rescale_intensity` Args: src: input image object p: parameters Returns: Output image object """ dst = dst_1_to_1( src, "rescale_intensity", f"in_range={p.in_range}, out_range={p.out_range}", ) dst.data = exposure.rescale_intensity( src.data, in_range=p.in_range, out_range=p.out_range ) restore_data_outside_roi(dst, src) return dst class EqualizeHistParam(gds.DataSet): """Histogram equalization parameters""" nbins = gds.IntItem( _("Number of bins"), min=1, default=256, help=_("Number of bins for image histogram."), ) @computation_function() def equalize_hist(src: ImageObj, p: EqualizeHistParam) -> ImageObj: """Histogram equalization with :py:func:`skimage.exposure.equalize_hist` Args: src: input image object p: parameters Returns: Output image object """ dst = dst_1_to_1(src, "equalize_hist", f"nbins={p.nbins}") dst.data = exposure.equalize_hist(src.data, nbins=p.nbins) restore_data_outside_roi(dst, src) return dst class EqualizeAdaptHistParam(EqualizeHistParam): """Adaptive histogram equalization parameters""" clip_limit = gds.FloatItem( _("Clipping limit"), default=0.01, min=0.0, max=1.0, help=_("Clipping limit (higher values give more contrast)."), ) @computation_function() def equalize_adapthist(src: ImageObj, p: EqualizeAdaptHistParam) -> ImageObj: """Adaptive histogram equalization with :py:func:`skimage.exposure.equalize_adapthist` Args: src: input image object p: parameters Returns: Output image object """ dst = dst_1_to_1( src, "equalize_adapthist", f"nbins={p.nbins}, clip_limit={p.clip_limit}" ) dst.data = exposure.equalize_adapthist( src.data, clip_limit=p.clip_limit, nbins=p.nbins ) restore_data_outside_roi(dst, src) return dst class FlatFieldParam(gds.DataSet): """Flat-field parameters""" threshold = gds.FloatItem(_("Threshold"), default=0.0) @computation_function() def flatfield(src1: ImageObj, src2: ImageObj, p: FlatFieldParam) -> ImageObj: """Compute flat field correction with :py:func:`sigima.tools.image.flatfield` Args: src1: raw data image object src2: flat field image object p: flat field parameters Returns: Output image object """ dst = dst_2_to_1(src1, src2, "flatfield", f"threshold={p.threshold}") dst.data = sigima.tools.image.flatfield(src1.data, src2.data, p.threshold) restore_data_outside_roi(dst, src1) return dst # MARK: compute_1_to_1 functions ------------------------------------------------------- # Functions with 1 input image and 1 output image # -------------------------------------------------------------------------------------- @computation_function() def normalize(src: ImageObj, p: NormalizeParam) -> ImageObj: """ Normalize image data depending on its maximum, with :py:func:`sigima.tools.image.normalize` Args: src: input image object Returns: Output image object """ method: sigima.enums.NormalizationMethod = p.method dst = dst_1_to_1(src, "normalize", suffix=f"ref={method.value}") dst.data = sigima.tools.image.normalize(src.data, method) restore_data_outside_roi(dst, src) return dst @computation_function() def histogram(src: ImageObj, p: HistogramParam) -> SignalObj: """Compute histogram of the image data, with :py:func:`numpy.histogram` Args: src: input image object p: parameters Returns: Signal object with the histogram """ data = src.get_masked_view().compressed() suffix = p.get_suffix(data) # Also updates p.lower and p.upper y, bin_edges = np.histogram(data, bins=p.bins, range=(p.lower, p.upper)) x = (bin_edges[:-1] + bin_edges[1:]) / 2 dst = new_signal_result( src, "histogram", suffix=suffix, units=(src.zunit, ""), labels=(src.zlabel, _("Counts")), ) dst.set_xydata(x, y) dst.set_metadata_option("shade", 0.5) dst.set_metadata_option("curvestyle", "Steps") return dst @computation_function() def clip(src: ImageObj, p: ClipParam) -> ImageObj: """Apply clipping with :py:func:`numpy.clip` Args: src: input image object p: parameters Returns: Output image object """ return Wrap1to1Func(np.clip, a_min=p.lower, a_max=p.upper)(src) @computation_function() def offset_correction(src: ImageObj, p: ROI2DParam) -> ImageObj: """Apply offset correction Args: src: input image object p: parameters Returns: Output image object """ dst = dst_1_to_1(src, "offset_correction", p.get_suffix()) dst.data = src.data - np.nanmean(p.get_data(src)) restore_data_outside_roi(dst, src) return dst Sigima-1.1.1/sigima/proc/image/extraction.py000066400000000000000000000373001514013333200207510ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """ Extraction computation module ----------------------------- This module provides functions to extract sub-regions and intensity profiles from images. Main features include: - Extraction of regions of interest (ROIs) - Extraction of line, segment, average, and radial intensity profiles These functions are useful for isolating specific image zones and for analyzing signal intensity along defined paths. """ # pylint: disable=invalid-name # Allows short reference names like x, y, ... # Note: # ---- # - All `guidata.dataset.DataSet` parameter classes must also be imported # in the `sigima.params` module. # - All functions decorated by `computation_function` must be imported in the upper # level `sigima.proc.image` module. from __future__ import annotations from typing import Callable import guidata.dataset as gds import numpy as np from numpy import ma import sigima.tools.image from sigima.config import _ from sigima.objects.image import ImageObj, ImageROI, RectangularROI, ROI2DParam from sigima.objects.signal import SignalObj from sigima.proc.decorator import computation_function from sigima.proc.image.base import dst_1_to_1, dst_1_to_1_signal # NOTE: Only parameter classes DEFINED in this module should be included in __all__. # Parameter classes imported from other modules (like sigima.proc.base) should NOT # be re-exported to avoid Sphinx cross-reference conflicts. The sigima.params module # serves as the central API point that imports and re-exports all parameter classes. __all__ = [ "AverageProfileParam", "LineProfileParam", "ROIGridParam", "RadialProfileParam", "SegmentProfileParam", "average_profile", "extract_roi", "extract_rois", "generate_image_grid_roi", "line_profile", "radial_profile", "segment_profile", ] @computation_function() def extract_rois(src: ImageObj, params: list[ROI2DParam]) -> ImageObj: """Extract multiple regions of interest from data Args: src: input image object params: list of ROI parameters Returns: Output image object """ # Initialize ix0, iy0 with maximum values: iy0, ix0 = iymax, ixmax = src.data.shape # Initialize ix1, iy1 with minimum values: iy1, ix1 = iymin, ixmin = 0, 0 for p in params: x0i, y0i, x1i, y1i = p.get_bounding_box_indices(src) ix0, iy0, ix1, iy1 = min(ix0, x0i), min(iy0, y0i), max(ix1, x1i), max(iy1, y1i) ix0, iy0 = max(ix0, ixmin), max(iy0, iymin) ix1, iy1 = min(ix1, ixmax), min(iy1, iymax) suffix = None if len(params) == 1: p = params[0] suffix = p.get_suffix() dst = dst_1_to_1(src, "extract_rois", suffix) if src.is_uniform_coords: dst.set_uniform_coords( dst.dx, dst.dy, dst.x0 + ix0 * src.dx, dst.y0 + iy0 * src.dy ) else: dst.set_coords(src.xcoords[iy0:iy1], src.ycoords[ix0:ix1]) dst.roi = None src2 = src.copy() src2.roi = ImageROI.from_params(src2, params) src2.data[src2.maskdata] = 0 dst.data = src2.data[iy0:iy1, ix0:ix1] return dst @computation_function() def extract_roi(src: ImageObj, p: ROI2DParam) -> ImageObj: """Extract single ROI Args: src: input image object p: ROI parameters Returns: Output image object """ dst = dst_1_to_1(src, "extract_roi", p.get_suffix()) dst.data = p.get_data(src).copy() dst.roi = p.get_extracted_roi(src) x0, y0, _x1, _y1 = p.get_bounding_box_physical() if src.is_uniform_coords: dst.set_uniform_coords(dst.dx, dst.dy, dst.x0 + x0, dst.y0 + y0) else: dst.set_coords(src.xcoords + x0, src.ycoords + y0) return dst class Direction(gds.LabeledEnum): """Direction choice""" INCREASING = "increasing", _("increasing") DECREASING = "decreasing", _("decreasing") class ROIGridParam(gds.DataSet): """ROI Grid parameters""" # optional Python-level hook, no Qt on_geometry_changed: Callable | None = None # pylint: disable=unused-argument def geometry_changed(self, item, value) -> None: """Notify host (if any) that geometry changed.""" if callable(self.on_geometry_changed): self.on_geometry_changed() # pylint: disable=not-callable _b_group0 = gds.BeginGroup(_("Geometry")) ny = gds.IntItem(f"Ny ({_('rows')})", default=3, nonzero=True).set_prop( "display", callback=geometry_changed ) nx = ( gds.IntItem(f"Nx ({_('columns')})", default=3, nonzero=True) .set_prop("display", callback=geometry_changed) .set_pos(col=1) ) xtranslation = gds.IntItem( _("X translation"), default=50, min=0, max=100, unit="%", slider=True, ).set_prop("display", callback=geometry_changed) ytranslation = gds.IntItem( _("Y translation"), default=50, min=0, max=100, unit="%", slider=True, ).set_prop("display", callback=geometry_changed) xsize = gds.IntItem( f"X size ({_('column size')})", default=50, min=0, max=100, unit="%", slider=True, ).set_prop("display", callback=geometry_changed) ysize = gds.IntItem( f"Y size ({_('row size')})", default=50, min=0, max=100, unit="%", slider=True, ).set_prop("display", callback=geometry_changed) xstep = gds.IntItem( f"X step ({_('column spacing')})", default=100, min=1, max=200, unit="%", slider=True, help=_( "Horizontal spacing between ROI centers, as a percentage of the " "automatically computed cell width (100% = evenly distributed grid)" ), ).set_prop("display", callback=geometry_changed) ystep = gds.IntItem( f"Y step ({_('row spacing')})", default=100, min=1, max=200, unit="%", slider=True, help=_( "Vertical spacing between ROI centers, as a percentage of the " "automatically computed cell height (100% = evenly distributed grid)" ), ).set_prop("display", callback=geometry_changed) _e_group0 = gds.EndGroup(_("Geometry")) _b_group1 = gds.BeginGroup(_("ROI titles")) base_name = gds.StringItem(_("Base name"), default="ROI").set_prop( "display", callback=geometry_changed ) name_pattern = gds.StringItem( _("Name pattern"), default="{base}({r},{c})" ).set_prop("display", callback=geometry_changed) xdirection = gds.ChoiceItem(_("X direction"), Direction).set_prop( "display", callback=geometry_changed ) ydirection = ( gds.ChoiceItem(_("Y direction"), Direction) .set_prop("display", callback=geometry_changed) .set_pos(col=1) ) _e_group1 = gds.EndGroup(_("ROI titles")) def generate_image_grid_roi(src: ImageObj, p: ROIGridParam) -> ImageROI: """Create a grid of rectangular ROIs from an image object. Args: obj: The image object to create the ROI for. p: ROIGridParam object containing the grid parameters. Returns: The created ROI object. """ dx_cell = src.width / p.nx dy_cell = src.height / p.ny dx = dx_cell * p.xsize / 100.0 dy = dy_cell * p.ysize / 100.0 # Apply step multipliers to cell spacing dx_step = dx_cell * p.xstep / 100.0 dy_step = dy_cell * p.ystep / 100.0 xtrans = src.width * (p.xtranslation - 50.0) / 100.0 ytrans = src.height * (p.ytranslation - 50.0) / 100.0 lbl_rows = range(p.ny) if p.ydirection == Direction.DECREASING: lbl_rows = range(p.ny - 1, -1, -1) lbl_cols = range(p.nx) if p.xdirection == Direction.DECREASING: lbl_cols = range(p.nx - 1, -1, -1) ptn: str = p.name_pattern roi = ImageROI() for ir in range(p.ny): for ic in range(p.nx): x0 = src.x0 + (ic + 0.5) * dx_step + xtrans - 0.5 * dx y0 = src.y0 + (ir + 0.5) * dy_step + ytrans - 0.5 * dy nir, nic = lbl_rows[ir], lbl_cols[ic] try: title = ptn.format(base=p.base_name, r=nir + 1, c=nic + 1) except Exception: # pylint: disable=broad-except title = f"ROI({nir + 1},{nic + 1})" roi.add_roi(RectangularROI([x0, y0, dx, dy], indices=False, title=title)) return roi class LineProfileParam(gds.DataSet): """Horizontal or vertical profile parameters""" _prop = gds.GetAttrProp("direction") _directions = (("horizontal", _("horizontal")), ("vertical", _("vertical"))) direction = gds.ChoiceItem(_("Direction"), _directions, radio=True).set_prop( "display", store=_prop ) row = gds.IntItem(_("Row"), default=0, min=0).set_prop( "display", active=gds.FuncProp(_prop, lambda x: x == "horizontal") ) col = gds.IntItem(_("Column"), default=0, min=0).set_prop( "display", active=gds.FuncProp(_prop, lambda x: x == "vertical") ) @computation_function() def line_profile(src: ImageObj, p: LineProfileParam) -> SignalObj: """Compute horizontal or vertical profile Args: src: input image object p: parameters Returns: Signal object with the profile """ data = src.get_masked_view() p.row = min(p.row, data.shape[0] - 1) p.col = min(p.col, data.shape[1] - 1) if p.direction == "horizontal": suffix, shape_index, pdata = f"row={p.row}", 1, data[p.row, :] else: suffix, shape_index, pdata = f"col={p.col}", 0, data[:, p.col] pdata: ma.MaskedArray x = np.arange(data.shape[shape_index])[~pdata.mask] y = np.array(pdata, dtype=float)[~pdata.mask] dst = dst_1_to_1_signal(src, "profile", suffix) dst.set_xydata(x, y) return dst class SegmentProfileParam(gds.DataSet): """Segment profile parameters""" row1 = gds.IntItem(_("Start row"), default=0, min=0) col1 = gds.IntItem(_("Start column"), default=0, min=0) row2 = gds.IntItem(_("End row"), default=0, min=0) col2 = gds.IntItem(_("End column"), default=0, min=0) def csline(data: np.ndarray, row0, col0, row1, col1) -> tuple[np.ndarray, np.ndarray]: """Return intensity profile of data along a line Args: data: 2D array row0, col0: start point row1, col1: end point """ # Keep coordinates inside the image row0 = max(0, min(row0, data.shape[0] - 1)) col0 = max(0, min(col0, data.shape[1] - 1)) row1 = max(0, min(row1, data.shape[0] - 1)) col1 = max(0, min(col1, data.shape[1] - 1)) # Keep coordinates in the right order row0, row1 = min(row0, row1), max(row0, row1) col0, col1 = min(col0, col1), max(col0, col1) # Extract the line line = np.zeros((2, max(abs(row1 - row0), abs(col1 - col0)) + 1), dtype=int) line[0, :] = np.linspace(row0, row1, line.shape[1]).astype(int) line[1, :] = np.linspace(col0, col1, line.shape[1]).astype(int) # Interpolate the line y = np.ma.array(data[line[0], line[1]], float).filled(np.nan) x = np.arange(y.size) return x, y @computation_function() def segment_profile(src: ImageObj, p: SegmentProfileParam) -> SignalObj: """Compute segment profile Args: src: input image object p: parameters Returns: Signal object with the segment profile """ data = src.get_masked_view() p.row1 = min(p.row1, data.shape[0] - 1) p.col1 = min(p.col1, data.shape[1] - 1) p.row2 = min(p.row2, data.shape[0] - 1) p.col2 = min(p.col2, data.shape[1] - 1) suffix = f"({p.row1}, {p.col1})-({p.row2}, {p.col2})" x, y = csline(data, p.row1, p.col1, p.row2, p.col2) x, y = x[~np.isnan(y)], y[~np.isnan(y)] # Remove NaN values dst = dst_1_to_1_signal(src, "segment_profile", suffix) dst.set_xydata(np.array(x, dtype=float), np.array(y, dtype=float)) return dst class AverageProfileParam(gds.DataSet): """Average horizontal or vertical profile parameters""" _directions = (("horizontal", _("horizontal")), ("vertical", _("vertical"))) direction = gds.ChoiceItem(_("Direction"), _directions, radio=True) _hgroup_begin = gds.BeginGroup(_("Profile rectangular area")) row1 = gds.IntItem(_("Row 1"), default=0, min=0) row2 = gds.IntItem(_("Row 2"), default=-1, min=-1) col1 = gds.IntItem(_("Column 1"), default=0, min=0) col2 = gds.IntItem(_("Column 2"), default=-1, min=-1) _hgroup_end = gds.EndGroup(_("Profile rectangular area")) @computation_function() def average_profile(src: ImageObj, p: AverageProfileParam) -> SignalObj: """Compute horizontal or vertical average profile Args: src: input image object p: parameters Returns: Signal object with the average profile """ data = src.get_masked_view() if p.row2 == -1: p.row2 = data.shape[0] - 1 if p.col2 == -1: p.col2 = data.shape[1] - 1 if p.row1 > p.row2: p.row1, p.row2 = p.row2, p.row1 if p.col1 > p.col2: p.col1, p.col2 = p.col2, p.col1 p.row1 = min(p.row1, data.shape[0] - 1) p.row2 = min(p.row2, data.shape[0] - 1) p.col1 = min(p.col1, data.shape[1] - 1) p.col2 = min(p.col2, data.shape[1] - 1) suffix = f"{p.direction}, rows=[{p.row1}, {p.row2}], cols=[{p.col1}, {p.col2}]" if p.direction == "horizontal": x, axis = np.arange(p.col1, p.col2 + 1), 0 else: x, axis = np.arange(p.row1, p.row2 + 1), 1 y = ma.mean(data[p.row1 : p.row2 + 1, p.col1 : p.col2 + 1], axis=axis) dst = dst_1_to_1_signal(src, "average_profile", suffix) dst.set_xydata(x, y) return dst class RadialProfileParam(gds.DataSet): """Radial profile parameters""" def __init__(self, *args, **kwargs) -> None: super().__init__(*args, **kwargs) self.__obj: ImageObj | None = None def update_from_obj(self, obj: ImageObj) -> None: """Update parameters from image""" self.__obj = obj self.x0 = obj.xc self.y0 = obj.yc def choice_callback(self, item, value): # pylint: disable=unused-argument """Callback for choice item""" if self.__obj is None: return if value == "centroid": self.y0, self.x0 = sigima.tools.image.get_centroid_fourier( self.__obj.get_masked_view() ) elif value == "center": self.x0, self.y0 = self.__obj.xc, self.__obj.yc _prop = gds.GetAttrProp("center") center = gds.ChoiceItem( _("Center position"), ( ("centroid", _("Image centroid")), ("center", _("Image center")), ("user", _("User-defined")), ), default="centroid", ).set_prop("display", store=_prop, callback=choice_callback) _func_prop = gds.FuncProp(_prop, lambda x: x == "user") _xyl = "" + _("Center") + "" x0 = gds.FloatItem(f"X{_xyl}", default=0.0, unit="pixel").set_prop( "display", active=_func_prop ) y0 = gds.FloatItem(f"Y{_xyl}", default=0.0, unit="pixel").set_prop( "display", active=_func_prop ) @computation_function() def radial_profile(src: ImageObj, p: RadialProfileParam) -> SignalObj: """Compute radial profile around the centroid with :py:func:`sigima.tools.image.get_radial_profile` Args: src: input image object p: parameters Returns: Signal object with the radial profile """ data = src.get_masked_view() if p.center == "centroid": y0, x0 = sigima.tools.image.get_centroid_fourier(data) elif p.center == "center": x0, y0 = src.xc, src.yc else: x0, y0 = p.x0, p.y0 suffix = f"center=({x0:.3f}, {y0:.3f})" dst = dst_1_to_1_signal(src, "radial_profile", suffix) x, y = sigima.tools.image.get_radial_profile(data, (x0, y0)) dst.set_xydata(x, y) return dst Sigima-1.1.1/sigima/proc/image/filtering.py000066400000000000000000000136111514013333200205530ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """Filtering computation module. -------------------------------- This module provides spatial and frequency-based filtering operations for images. Filtering functions are essential for enhancing image quality and removing noise. Main features include: * Gaussian, median, moving average and Wiener filters * Butterworth and frequency domain Gaussian filters. Filtering functions are essential for enhancing image quality and removing noise prior to further analysis. """ # pylint: disable=invalid-name # Allows short names like x, y... # Note: # ---- # - All `guidata.dataset.DataSet` parameter classes must also be imported in the # `sigima.params` module. # - All functions decorated with `computation_function` must be imported in the upper # level `sigima.proc.image` module. from __future__ import annotations import guidata.dataset as gds # type: ignore[import] import scipy.ndimage as spi # type: ignore[import] import scipy.signal as sps # type: ignore[import] from skimage import filters # type: ignore[import] import sigima.tools.image from sigima.config import _ from sigima.objects.image import ImageObj from sigima.proc.base import ( GaussianParam, MovingAverageParam, MovingMedianParam, ) from sigima.proc.decorator import computation_function from sigima.proc.image.base import Wrap1to1Func, dst_1_to_1, restore_data_outside_roi # NOTE: Only parameter classes DEFINED in this module should be included in __all__. # Parameter classes imported from other modules (like sigima.proc.base) should NOT # be re-exported to avoid Sphinx cross-reference conflicts. The sigima.params module # serves as the central API point that imports and re-exports all parameter classes. __all__ = [ "ButterworthParam", "GaussianFreqFilterParam", "butterworth", "gaussian_filter", "gaussian_freq_filter", "moving_average", "moving_median", "wiener", ] # MARK: Noise reduction filters @computation_function() def gaussian_filter(src: ImageObj, p: GaussianParam) -> ImageObj: """Compute gaussian filter with :py:func:`scipy.ndimage.gaussian_filter`. Args: src: Input image object. p: Parameters. Returns: Output image object. """ return Wrap1to1Func(spi.gaussian_filter, sigma=p.sigma)(src) @computation_function() def moving_average(src: ImageObj, p: MovingAverageParam) -> ImageObj: """Compute moving average with :py:func:`scipy.ndimage.uniform_filter`. Args: src: Input image object. p: Parameters. Returns: Output image object. """ return Wrap1to1Func( spi.uniform_filter, size=p.n, mode=p.mode, func_name="moving_average" )(src) @computation_function() def moving_median(src: ImageObj, p: MovingMedianParam) -> ImageObj: """Compute moving median with :py:func:`scipy.ndimage.median_filter`. Args: src: Input image object. p: Parameters. Returns: Output image object. """ return Wrap1to1Func( spi.median_filter, size=p.n, mode=p.mode, func_name="moving_median" )(src) @computation_function() def wiener(src: ImageObj) -> ImageObj: """Compute Wiener filter with :py:func:`scipy.signal.wiener` Args: src: Input image object. Returns: Output image object. """ return Wrap1to1Func(sps.wiener)(src) class ButterworthParam(gds.DataSet): """Butterworth filter parameters.""" cut_off = gds.FloatItem( _("Cut-off frequency ratio"), default=0.005, min=0.0, max=0.5, help=_("Cut-off frequency ratio"), ) high_pass = gds.BoolItem( _("High-pass filter"), default=False, help=_("If True, apply high-pass filter instead of low-pass"), ) order = gds.IntItem( _("Order"), default=2, min=1, help=_("Order of the Butterworth filter"), ) # MARK: Frequency filters @computation_function() def butterworth(src: ImageObj, p: ButterworthParam) -> ImageObj: """Compute Butterworth filter with :py:func:`skimage.filters.butterworth`. Args: src: Input image object. p: Parameters. Returns: Output image object. """ dst = dst_1_to_1( src, "butterworth", f"cut_off={p.cut_off:.3f}, order={p.order}, high_pass={p.high_pass}", ) dst.data = filters.butterworth(src.data, p.cut_off, p.high_pass, p.order) restore_data_outside_roi(dst, src) return dst class GaussianFreqFilterParam(GaussianParam): """Parameters for Gaussian filter applied in the frequency domain.""" sigma = gds.FloatItem( "σ", default=1.0, unit="pixel⁻¹", min=0.0, help=_("Standard deviation of the Gaussian filter"), ) f0 = gds.FloatItem( _("Center frequency"), default=1.0, unit="pixel⁻¹", min=0.0, help=_("Center frequency of the Gaussian filter"), ) sigma = gds.FloatItem( "σ", default=0.5, unit="pixels⁻¹", min=0.0, help=_("Standard deviation of the Gaussian filter"), ) ifft_result_type = gds.ChoiceItem( _("Inverse FFT result"), (("real", _("Real part")), ("abs", _("Absolute value"))), default="real", help=_("How to return the inverse FFT result"), ) @computation_function() def gaussian_freq_filter(src: ImageObj, p: GaussianFreqFilterParam) -> ImageObj: """Apply a Gaussian filter in the frequency domain. Args: src: Source image object. p: Parameters. Returns: Output image object. """ dst = dst_1_to_1( src, "frequency_domain_gaussian_filter", f"sigma={p.sigma:.3f}, f0={p.f0:.3f}", ) dst.data = sigima.tools.image.gaussian_freq_filter(src.data, p.f0, p.sigma) restore_data_outside_roi(dst, src) return dst Sigima-1.1.1/sigima/proc/image/fourier.py000066400000000000000000000106021514013333200202400ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """ Fourier computation module -------------------------- This module implements Fourier transform operations and related spectral analysis tools for images. Main features include: - Forward and inverse Fast Fourier Transform (FFT) - Magnitude and phase spectrum calculation - Power spectral density (PSD) computation Fourier analysis is commonly used for frequency-domain filtering and periodicity analysis in images. """ # pylint: disable=invalid-name # Allows short reference names like x, y, ... # Note: # ---- # - All `guidata.dataset.DataSet` parameter classes must also be imported # in the `sigima.params` module. # - All functions decorated by `computation_function` must be imported in the upper # level `sigima.proc.image` module. from __future__ import annotations import sigima.tools.image from sigima.config import _ from sigima.objects.image import ImageObj from sigima.proc.base import FFTParam, SpectrumParam from sigima.proc.decorator import computation_function from sigima.proc.image.base import Wrap1to1Func, dst_1_to_1 # NOTE: Only parameter classes DEFINED in this module should be included in __all__. # Parameter classes imported from other modules (like sigima.proc.base) should NOT # be re-exported to avoid Sphinx cross-reference conflicts. The sigima.params module # serves as the central API point that imports and re-exports all parameter classes. __all__ = [ "fft", "ifft", "magnitude_spectrum", "phase_spectrum", "psd", ] @computation_function() def fft(src: ImageObj, p: FFTParam | None = None) -> ImageObj: """Compute FFT with :py:func:`sigima.tools.image.fft2d` Args: src: input image object p: parameters Returns: Output image object """ if p is None: p = FFTParam() dst = dst_1_to_1(src, "fft") dst.data = sigima.tools.image.fft2d(src.data, shift=p.shift) dst.save_attr_to_metadata("xunit", "") dst.save_attr_to_metadata("yunit", "") dst.save_attr_to_metadata("zunit", "") dst.save_attr_to_metadata("xlabel", _("Frequency")) dst.save_attr_to_metadata("ylabel", _("Frequency")) return dst @computation_function() def ifft(src: ImageObj, p: FFTParam | None = None) -> ImageObj: """Compute inverse FFT with :py:func:`sigima.tools.image.ifft2d` Args: src: input image object p: parameters Returns: Output image object """ if p is None: p = FFTParam() dst = dst_1_to_1(src, "ifft") dst.data = sigima.tools.image.ifft2d(src.data, shift=p.shift) dst.restore_attr_from_metadata("xunit", "") dst.restore_attr_from_metadata("yunit", "") dst.restore_attr_from_metadata("zunit", "") dst.restore_attr_from_metadata("xlabel", "") dst.restore_attr_from_metadata("ylabel", "") return dst @computation_function() def magnitude_spectrum(src: ImageObj, p: SpectrumParam | None = None) -> ImageObj: """Compute magnitude spectrum with :py:func:`sigima.tools.image.magnitude_spectrum` Args: src: input image object p: parameters Returns: Output image object """ decibel = p is not None and p.decibel dst = dst_1_to_1(src, "magnitude_spectrum", f"dB={decibel}") dst.data = sigima.tools.image.magnitude_spectrum(src.data, log_scale=decibel) dst.xunit = dst.yunit = dst.zunit = "" dst.xlabel = dst.ylabel = _("Frequency") return dst @computation_function() def phase_spectrum(src: ImageObj) -> ImageObj: """Compute phase spectrum with :py:func:`sigima.tools.image.phase_spectrum` Args: src: input image object Returns: Output image object """ dst = Wrap1to1Func(sigima.tools.image.phase_spectrum)(src) dst.xunit = dst.yunit = dst.zunit = "" dst.xlabel = dst.ylabel = _("Frequency") return dst @computation_function() def psd(src: ImageObj, p: SpectrumParam | None = None) -> ImageObj: """Compute power spectral density with :py:func:`sigima.tools.image.psd` Args: src: input image object p: parameters Returns: Output image object """ decibel = p is not None and p.decibel dst = dst_1_to_1(src, "psd", f"dB={decibel}") dst.data = sigima.tools.image.psd(src.data, log_scale=decibel) dst.xunit = dst.yunit = dst.zunit = "" dst.xlabel = dst.ylabel = _("Frequency") return dst Sigima-1.1.1/sigima/proc/image/geometry.py000066400000000000000000000515651514013333200204350ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """ Geometry computation module --------------------------- This module implements geometric transformations and manipulations for images, such as rotations, flips, resizing, axis swapping, binning, and padding. Main features include: - Rotation by arbitrary or fixed angles - Horizontal and vertical flipping - Resizing and binning of images - Axis swapping and zero padding These functions are useful for preparing and augmenting image data. """ # pylint: disable=invalid-name # Allows short reference names like x, y, ... # Note: # ---- # - All `guidata.dataset.DataSet` parameter classes must also be imported # in the `sigima.params` module. # - All functions decorated by `computation_function` must be imported in the upper # level `sigima.proc.image` module. from __future__ import annotations import guidata.dataset as gds import numpy as np import scipy.ndimage as spi from sigima.config import _ from sigima.enums import BorderMode, Interpolation2DMethod from sigima.objects.image import ImageObj from sigima.proc.decorator import computation_function from sigima.proc.image.base import dst_1_to_1, restore_data_outside_roi from sigima.proc.image.transformations import transformer # NOTE: Only parameter classes DEFINED in this module should be included in __all__. # Parameter classes imported from other modules (like sigima.proc.base) should NOT # be re-exported to avoid Sphinx cross-reference conflicts. The sigima.params module # serves as the central API point that imports and re-exports all parameter classes. __all__ = [ "Resampling2DParam", "ResizeParam", "RotateParam", "TranslateParam", "UniformCoordsParam", "XYZCalibrateParam", "calibration", "fliph", "flipv", "resampling", "resize", "rotate", "rotate90", "rotate270", "set_uniform_coords", "translate", "transpose", ] class TranslateParam(gds.DataSet): """Translate parameters""" dx = gds.FloatItem(_("X translation"), default=0.0) dy = gds.FloatItem(_("Y translation"), default=0.0) @computation_function() def translate(src: ImageObj, p: TranslateParam) -> ImageObj: """Translate data with :py:func:`scipy.ndimage.shift` Args: src: input image object p: parameters Returns: Output image object """ dst = dst_1_to_1(src, "translate", f"dx={p.dx}, dy={p.dy}") if src.is_uniform_coords: dst.set_uniform_coords(dst.dx, dst.dy, dst.x0 + p.dx, dst.y0 + p.dy) else: dst.set_coords(src.xcoords + p.dx, src.ycoords + p.dy) transformer.transform_roi(dst, "translate", dx=p.dx, dy=p.dy) return dst class RotateParam(gds.DataSet): """Rotate parameters""" prop = gds.ValueProp(False) angle = gds.FloatItem(f"{_('Angle')} (°)", default=0.0) mode = gds.ChoiceItem(_("Mode"), BorderMode, default=BorderMode.CONSTANT) cval = gds.FloatItem( _("cval"), default=0.0, help=_( "Value used for points outside the " "boundaries of the input if mode is " "'constant'" ), ) reshape = gds.BoolItem( _("Reshape the output array"), default=False, help=_( "Reshape the output array " "so that the input array is " "contained completely in the output" ), ) prefilter = gds.BoolItem(_("Prefilter the input image"), default=True).set_prop( "display", store=prop ) order = gds.IntItem( _("Order"), default=3, min=0, max=5, help=_("Spline interpolation order"), ).set_prop("display", active=prop) @computation_function() def rotate(src: ImageObj, p: RotateParam) -> ImageObj: """Rotate data with :py:func:`scipy.ndimage.rotate` Args: src: input image object p: parameters Returns: Output image object """ dst = dst_1_to_1(src, "rotate", f"α={p.angle:.3f}°, mode='{p.mode}'") dst.data = spi.rotate( src.data, p.angle, reshape=p.reshape, order=p.order, mode=p.mode, cval=p.cval, prefilter=p.prefilter, ) dst.roi = None # Reset ROI as it may change after rotation return dst @computation_function() def rotate90(src: ImageObj) -> ImageObj: """Rotate data 90° with :py:func:`numpy.rot90` Args: src: input image object Returns: Output image object """ dst = dst_1_to_1(src, "rotate90") dst.data = np.rot90(src.data) transformer.transform_roi(dst, "rotate", angle=-np.pi / 2, center=(dst.xc, dst.yc)) return dst @computation_function() def rotate270(src: ImageObj) -> ImageObj: """Rotate data 270° with :py:func:`numpy.rot90` Args: src: input image object Returns: Output image object """ dst = dst_1_to_1(src, "rotate270") dst.data = np.rot90(src.data, 3) transformer.transform_roi(dst, "rotate", angle=np.pi / 2, center=(dst.xc, dst.yc)) return dst @computation_function() def fliph(src: ImageObj) -> ImageObj: """Flip data horizontally with :py:func:`numpy.fliplr` Args: src: input image object Returns: Output image object """ dst = dst_1_to_1(src, "fliph") dst.data = np.fliplr(src.data) transformer.transform_roi(dst, "fliph", cx=dst.xc) return dst @computation_function() def flipv(src: ImageObj) -> ImageObj: """Flip data vertically with :py:func:`numpy.flipud` Args: src: input image object Returns: Output image object """ dst = dst_1_to_1(src, "flipv") dst.data = np.flipud(src.data) transformer.transform_roi(dst, "flipv", cy=dst.yc) return dst class ResizeParam(gds.DataSet): """Resize parameters""" prop = gds.ValueProp(False) zoom = gds.FloatItem(_("Zoom"), default=1.0) mode = gds.ChoiceItem(_("Mode"), BorderMode, default=BorderMode.CONSTANT) cval = gds.FloatItem( _("cval"), default=0.0, help=_( "Value used for points outside the " "boundaries of the input if mode is " "'constant'" ), ) prefilter = gds.BoolItem(_("Prefilter the input image"), default=True).set_prop( "display", store=prop ) order = gds.IntItem( _("Order"), default=3, min=0, max=5, help=_("Spline interpolation order"), ).set_prop("display", active=prop) @computation_function() def resize(src: ImageObj, p: ResizeParam) -> ImageObj: """Zooming function with :py:func:`scipy.ndimage.zoom` Args: src: input image object p: parameters Returns: Output image object Raises: ValueError: if source image has non-uniform coordinates """ if not src.is_uniform_coords: raise ValueError("Source image must have uniform coordinates for resampling") mode = p.mode dst = dst_1_to_1(src, "resize", f"zoom={p.zoom:.3f}") dst.data = spi.zoom( src.data, p.zoom, order=p.order, mode=mode, cval=p.cval, prefilter=p.prefilter, ) if not np.isnan(dst.dx) and not np.isnan(dst.dy): dst.set_uniform_coords(dst.dx / p.zoom, dst.dy / p.zoom, dst.x0, dst.y0) return dst @computation_function() def transpose(src: ImageObj) -> ImageObj: """Transpose image with :py:func:`numpy.transpose`. Args: src: Input image object. Returns: Output image object. """ dst = dst_1_to_1(src, "transpose") dst.data = np.transpose(src.data) dst.xlabel = src.ylabel dst.ylabel = src.xlabel dst.xunit = src.yunit dst.yunit = src.xunit if src.is_uniform_coords: dst.set_uniform_coords(src.dy, src.dx, src.y0, src.x0) else: dst.set_coords(src.ycoords, src.xcoords) transformer.transform_roi(dst, "transpose") return dst class Resampling2DParam(gds.DataSet): """Resample parameters for 2D images""" # Output coordinate system xmin = gds.FloatItem( "Xmin", default=None, allow_none=True, help=_("Minimum X-coordinate of the output image"), ) xmax = gds.FloatItem( "Xmax", default=None, allow_none=True, help=_("Maximum X-coordinate of the output image"), ) ymin = gds.FloatItem( "Ymin", default=None, allow_none=True, help=_("Minimum Y-coordinate of the output image"), ) ymax = gds.FloatItem( "Ymax", default=None, allow_none=True, help=_("Maximum Y-coordinate of the output image"), ) # Mode selection _prop = gds.GetAttrProp("mode") _modes = (("dxy", _("Pixel size")), ("shape", _("Output shape"))) mode = gds.ChoiceItem(_("Mode"), _modes, default="shape", radio=True).set_prop( "display", store=_prop ) # Pixel size mode parameters dx = gds.FloatItem( "ΔX", default=None, allow_none=True, help=_("Pixel size in X direction") ).set_prop("display", active=gds.FuncProp(_prop, lambda x: x == "dxy")) dy = gds.FloatItem( "ΔY", default=None, allow_none=True, help=_("Pixel size in Y direction") ).set_prop("display", active=gds.FuncProp(_prop, lambda x: x == "dxy")) # Shape mode parameters width = gds.IntItem( _("Width"), default=None, allow_none=True, help=_("Output image width in pixels"), ).set_prop("display", active=gds.FuncProp(_prop, lambda x: x == "shape")) height = gds.IntItem( _("Height"), default=None, allow_none=True, help=_("Output image height in pixels"), ).set_prop("display", active=gds.FuncProp(_prop, lambda x: x == "shape")) # Interpolation parameters method = gds.ChoiceItem( _("Interpolation method"), Interpolation2DMethod, default=Interpolation2DMethod.LINEAR, ) fill_value = gds.FloatItem( _("Fill value"), default=None, help=_( "Value to use for points outside the input image domain. " "If None, uses NaN for extrapolation." ), check=False, ) def update_from_obj(self, obj: ImageObj) -> None: """Update parameters from an image object.""" if self.xmin is None: self.xmin = obj.x0 if self.xmax is None: self.xmax = obj.x0 + obj.width if self.ymin is None: self.ymin = obj.y0 if self.ymax is None: self.ymax = obj.y0 + obj.height if self.dx is None: self.dx = obj.dx if self.dy is None: self.dy = obj.dy if self.width is None: self.width = obj.data.shape[1] if self.height is None: self.height = obj.data.shape[0] @computation_function() def resampling(src: ImageObj, p: Resampling2DParam) -> ImageObj: """Resample image to new coordinate grid using interpolation Args: src: source image p: resampling parameters Returns: Resampled image object Raises: ValueError: if source image has non-uniform coordinates """ if not src.is_uniform_coords: raise ValueError("Source image must have uniform coordinates for resampling") # Set output range - use source image bounds if not specified output_xmin = p.xmin if p.xmin is not None else src.x0 output_xmax = p.xmax if p.xmax is not None else src.x0 + src.width output_ymin = p.ymin if p.ymin is not None else src.y0 output_ymax = p.ymax if p.ymax is not None else src.y0 + src.height # Calculate output grid dimensions and spacing output_width_phys = output_xmax - output_xmin output_height_phys = output_ymax - output_ymin # Determine output grid parameters method: Interpolation2DMethod = p.method if p.mode == "dxy": # Calculate dimensions from pixel sizes if p.dx is None or p.dy is None: raise ValueError("dx and dy must be specified in pixel size mode") output_width = int(np.ceil(output_width_phys / p.dx)) output_height = int(np.ceil(output_height_phys / p.dy)) output_dx = p.dx output_dy = p.dy fill_suffix = f", fill_value={p.fill_value}" if p.fill_value is not None else "" suffix = f"method={method.value}, dx={p.dx:.3f}, dy={p.dy:.3f}{fill_suffix}" else: # Use specified shape if p.width is None or p.height is None: raise ValueError("width and height must be specified in shape mode") output_width = p.width output_height = p.height output_dx = output_width_phys / p.width if p.width > 0 else src.dx output_dy = output_height_phys / p.height if p.height > 0 else src.dy fill_suffix = f", fill_value={p.fill_value}" if p.fill_value is not None else "" suffix = f"method={method.value}, size=({p.width}x{p.height}){fill_suffix}" # Create destination image dst = dst_1_to_1(src, "resample", suffix) # Output coordinates (physical) - ensure we sample pixel centers, not boundaries # For an image spanning [xmin, xmax], we want to sample at pixel centers # The pixel centers should be distributed within the range, # not including the exact endpoints if output_width > 1: out_x = np.linspace( output_xmin + output_dx / 2, output_xmax - output_dx / 2, output_width ) else: out_x = np.array([(output_xmin + output_xmax) / 2]) if output_height > 1: out_y = np.linspace( output_ymin + output_dy / 2, output_ymax - output_dy / 2, output_height ) else: out_y = np.array([(output_ymin + output_ymax) / 2]) # Create meshgrids out_X, out_Y = np.meshgrid(out_x, out_y, indexing="xy") # Convert interpolation method to scipy parameter if method == Interpolation2DMethod.LINEAR: order = 1 elif method == Interpolation2DMethod.CUBIC: order = 3 elif method == Interpolation2DMethod.NEAREST: order = 0 else: order = 1 # fallback to linear # Convert physical coordinates to source image indices src_i = (out_X - src.x0) / src.dx src_j = (out_Y - src.y0) / src.dy # Perform interpolation using map_coordinates # Note: map_coordinates expects (j, i) order (row, col) coordinates = np.array([src_j.ravel(), src_i.ravel()]) # Determine fill value for interpolation cval = p.fill_value if p.fill_value is not None else np.nan # For NaN fill values, we need to work with float data to preserve NaN # Convert to float if necessary to allow NaN representation if np.isnan(cval) and not np.issubdtype(src.data.dtype, np.floating): input_data = src.data.astype(np.float64) else: input_data = src.data # Interpolate resampled_data = spi.map_coordinates( input_data, coordinates, order=order, mode="constant", cval=cval, prefilter=True ).reshape(output_height, output_width) # Set output data and coordinate system dst.data = resampled_data dst.set_uniform_coords(output_dx, output_dy, output_xmin, output_ymin) return dst class UniformCoordsParam(gds.DataSet): """Uniform coordinates parameters""" x0 = gds.FloatItem("X0", default=0.0, help=_("Origin X-axis coordinate")) y0 = gds.FloatItem("Y0", default=0.0, help=_("Origin Y-axis coordinate")) dx = gds.FloatItem("Δx", default=1.0, help=_("Pixel size along X-axis")) dy = gds.FloatItem("Δy", default=1.0, help=_("Pixel size along Y-axis")) def update_from_obj(self, obj: ImageObj) -> None: """Update default values from image object's non-uniform coordinates. This method extracts uniform coordinate approximations from non-uniform coordinate arrays, handling numerical precision issues that may arise from arrays created using linspace. Args: obj: Image object with non-uniform coordinates """ if obj.is_uniform_coords: # Already uniform, just copy the values self.x0 = obj.x0 self.y0 = obj.y0 self.dx = obj.dx self.dy = obj.dy else: # Extract from non-uniform coordinates if obj.xcoords is not None and len(obj.xcoords) >= 2: self.x0 = float(obj.xcoords[0]) # Calculate dx with rounding to handle numerical precision dx_raw = (obj.xcoords[-1] - obj.xcoords[0]) / (len(obj.xcoords) - 1) # Round to reasonable precision (12 decimal places) self.dx = float(np.round(dx_raw, 12)) else: self.x0 = 0.0 self.dx = 1.0 if obj.ycoords is not None and len(obj.ycoords) >= 2: self.y0 = float(obj.ycoords[0]) # Calculate dy with rounding to handle numerical precision dy_raw = (obj.ycoords[-1] - obj.ycoords[0]) / (len(obj.ycoords) - 1) # Round to reasonable precision (12 decimal places) self.dy = float(np.round(dy_raw, 12)) else: self.y0 = 0.0 self.dy = 1.0 @computation_function() def set_uniform_coords(src: ImageObj, p: UniformCoordsParam) -> ImageObj: """Convert image to uniform coordinate system Args: src: input image object p: uniform coordinates parameters Returns: Output image object with uniform coordinates """ dst = dst_1_to_1(src, "uniform_coords", f"dx={p.dx}, dy={p.dy}") dst.set_uniform_coords(p.dx, p.dy, p.x0, p.y0) return dst class XYZCalibrateParam(gds.DataSet): """Image polynomial calibration parameters""" axes = (("x", _("X-axis")), ("y", _("Y-axis")), ("z", _("Z-axis"))) axis = gds.ChoiceItem(_("Calibrate"), axes, default="z") a0 = gds.FloatItem("a0", default=0.0, help=_("Constant term")) a1 = gds.FloatItem("a1", default=1.0, help=_("Linear term")) a2 = gds.FloatItem("a2", default=0.0, help=_("Quadratic term")) a3 = gds.FloatItem("a3", default=0.0, help=_("Cubic term")) @computation_function() def calibration(src: ImageObj, p: XYZCalibrateParam) -> ImageObj: """Compute polynomial calibration Applies polynomial transformation: dst = a0 + a1*src + a2*src² + a3*src³ Args: src: input image object p: calibration parameters Returns: Output image object """ # Build polynomial description for metadata terms = [] if p.a0 != 0.0: terms.append(f"{p.a0}") if p.a1 != 0.0: terms.append(f"{p.a1}*{p.axis}" if p.a1 != 1.0 else p.axis) if p.a2 != 0.0: terms.append(f"{p.a2}*{p.axis}²") if p.a3 != 0.0: terms.append(f"{p.a3}*{p.axis}³") poly_str = "+".join(terms) if terms else "0" dst = dst_1_to_1(src, "calibration", f"{p.axis}={poly_str}") shape = src.data.shape if p.axis == "z": # Apply polynomial to data values data = src.data.astype(float) dst.data = p.a0 + p.a1 * data + p.a2 * data**2 + p.a3 * data**3 restore_data_outside_roi(dst, src) elif p.axis == "x": # For X-axis, polynomial calibration requires non-uniform coordinates # (unless it's linear but we don't special case that here) if src.is_uniform_coords: # Generate uniform coordinates array x_uniform = src.x0 + np.arange(src.data.shape[1]) * src.dx # Apply polynomial transformation x_new = p.a0 + p.a1 * x_uniform + p.a2 * x_uniform**2 + p.a3 * x_uniform**3 # Set non-uniform coordinates ycoords = np.linspace(src.y0, src.y0 + src.dy * (shape[0] - 1), shape[0]) dst.set_coords(x_new, ycoords) else: # Apply polynomial to existing non-uniform coordinates x_new = ( p.a0 + p.a1 * src.xcoords + p.a2 * src.xcoords**2 + p.a3 * src.xcoords**3 ) dst.set_coords(x_new, dst.ycoords) elif p.axis == "y": # For Y-axis, polynomial calibration requires non-uniform coordinates if src.is_uniform_coords: # Generate uniform coordinates array y_uniform = src.y0 + np.arange(src.data.shape[0]) * src.dy # Apply polynomial transformation y_new = p.a0 + p.a1 * y_uniform + p.a2 * y_uniform**2 + p.a3 * y_uniform**3 # Set non-uniform coordinates xcoords = np.linspace(src.x0, src.x0 + src.dx * (shape[1] - 1), shape[1]) dst.set_coords(xcoords, y_new) else: # Apply polynomial to existing non-uniform coordinates y_new = ( p.a0 + p.a1 * src.ycoords + p.a2 * src.ycoords**2 + p.a3 * src.ycoords**3 ) dst.set_coords(dst.xcoords, y_new) else: # Should not happen raise ValueError(f"Unknown axis: {p.axis}") # pragma: no cover return dst Sigima-1.1.1/sigima/proc/image/mathops.py000066400000000000000000000215141514013333200202440ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """ Mathematical Operations Module ------------------------------ This module implements mathematical operations on images, such as inversion, absolute value, real/imaginary part extraction, type casting, and exponentiation. Main features include: - Pixel-wise mathematical transformations (e.g., log, exp, abs, real, imag, log10) - Type casting and other value-level operations These functions enable flexible manipulation of image data at the value level. """ # pylint: disable=invalid-name # Allows short reference names like x, y, ... # Note: # ---- # - All `guidata.dataset.DataSet` parameter classes must also be imported # in the `sigima.params` module. # - All functions decorated by `computation_function` must be imported in the upper # level `sigima.proc.image` module. from __future__ import annotations import warnings import guidata.dataset as gds import numpy as np import sigima.tools.image from sigima.config import _ from sigima.config import options as sigima_options from sigima.enums import AngleUnit from sigima.objects.image import ImageObj from sigima.proc.base import AngleUnitParam, PhaseParam from sigima.proc.decorator import computation_function from sigima.proc.image.base import ( Wrap1to1Func, dst_1_to_1, dst_2_to_1, restore_data_outside_roi, ) from sigima.tools import coordinates from sigima.tools.datatypes import clip_astype # NOTE: Only parameter classes DEFINED in this module should be included in __all__. # Parameter classes imported from other modules (like sigima.proc.base) should NOT # be re-exported to avoid Sphinx cross-reference conflicts. The sigima.params module # serves as the central API point that imports and re-exports all parameter classes. __all__ = [ "DataTypeIParam", "Log10ZPlusNParam", "absolute", "absolute", "astype", "complex_from_magnitude_phase", "complex_from_real_imag", "convolution", "deconvolution", "exp", "exp", "imag", "imag", "inverse", "inverse", "log10", "log10", "log10_z_plus_n", "phase", "real", "real", ] @computation_function() def inverse(src: ImageObj) -> ImageObj: """Compute the inverse of an image and return the new result image object Args: src: input image object Returns: Result image object 1 / **src** (new object) """ dst = dst_1_to_1(src, "inverse") with warnings.catch_warnings(): warnings.simplefilter("ignore", category=RuntimeWarning) dst.data = np.reciprocal(src.data, dtype=float) dst.data[np.isinf(dst.data)] = np.nan restore_data_outside_roi(dst, src) return dst @computation_function() def absolute(src: ImageObj) -> ImageObj: """Compute absolute value with :py:data:`numpy.absolute` Args: src: input image object Returns: Output image object """ return Wrap1to1Func(np.absolute)(src) @computation_function() def real(src: ImageObj) -> ImageObj: """Compute real part with :py:func:`numpy.real` Args: src: input image object Returns: Output image object """ return Wrap1to1Func(np.real)(src) @computation_function() def imag(src: ImageObj) -> ImageObj: """Compute imaginary part with :py:func:`numpy.imag` Args: src: input image object Returns: Output image object """ return Wrap1to1Func(np.imag)(src) @computation_function() def phase(src: ImageObj, p: PhaseParam) -> ImageObj: """Compute the phase (argument) of a complex image. The function uses :py:func:`numpy.angle` to compute the argument and :py:func:`numpy.unwrap` to unwrap it. Args: src: Input image object. p: Phase parameters. Returns: Image object containing the phase, optionally unwrapped. """ suffix = "unwrap" if p.unwrap else "" dst = dst_1_to_1(src, "phase", suffix) data = src.get_data() argument = np.angle(data) if p.unwrap: argument = np.unwrap(argument) if p.unit == AngleUnit.DEGREE: argument = np.rad2deg(argument) dst.data = argument dst.zunit = p.unit restore_data_outside_roi(dst, src) return dst @computation_function() def complex_from_magnitude_phase( src1: ImageObj, src2: ImageObj, p: AngleUnitParam ) -> ImageObj: """Combine magnitude and phase images into a complex image. .. warning:: This function assumes that the input images have the same dimensions. Args: src1: Magnitude (module) image. src2: Phase (argument) image. p: Parameters (provides unit for the phase). Returns: Image object with complex-valued z. """ dst = dst_2_to_1(src1, src2, "mag_phase") assert p.unit is not None dst.data = coordinates.polar_to_complex(src1.data, src2.data, unit=p.unit) return dst @computation_function() def complex_from_real_imag(src1: ImageObj, src2: ImageObj) -> ImageObj: """Combine two real images into a complex image using real + i * imag. .. warning:: This function assumes that the input images have the same dimensions and are properly aligned. Args: src1: Real part image. src2: Imaginary part image. Returns: Image object with complex-valued z. Raises: ValueError: If the x or y coordinates of the two images are not the same. """ dst = dst_2_to_1(src1, src2, "real_imag") assert src1.data is not None assert src2.data is not None dst.data = src1.data + 1j * src2.data return dst @computation_function() def convolution(src: ImageObj, kernel: ImageObj) -> ImageObj: """Convolve an image with a kernel. The kernel should ideally be smaller than the input image and centered. Args: src: Input image object. kernel: Kernel image object. Returns: Output image object. Notes: The behavior of kernel normalization is controlled by the global configuration option ``sigima.config.options.auto_normalize_kernel``. """ # Get configuration option for kernel normalization normalize_kernel = sigima_options.auto_normalize_kernel.get() dst = dst_2_to_1(src, kernel, "⊛") dst.data = sigima.tools.image.convolve( src.data, kernel.data, normalize_kernel_flag=normalize_kernel, ) restore_data_outside_roi(dst, src) return dst @computation_function() def deconvolution(src: ImageObj, kernel: ImageObj) -> ImageObj: """Deconvolve a kernel from an image using Fast Fourier Transform (FFT). Args: src: Input image object. kernel: Kernel image object. Returns: Output image object. Notes: The behavior of kernel normalization is controlled by the global configuration option ``sigima.config.options.auto_normalize_kernel``. """ # Get configuration option for kernel normalization normalize_kernel = sigima_options.auto_normalize_kernel.get() dst = dst_2_to_1(src, kernel, "⊛⁻¹") dst.data = sigima.tools.image.deconvolve( src.data, kernel.data, normalize_kernel_flag=normalize_kernel, ) restore_data_outside_roi(dst, src) return dst @computation_function() def log10(src: ImageObj) -> ImageObj: """Compute log10 with :py:data:`numpy.log10` Args: src: input image object Returns: Output image object """ return Wrap1to1Func(np.log10)(src) @computation_function() def exp(src: ImageObj) -> ImageObj: """Compute exponential with :py:data:`numpy.exp` Args: src: input image object Returns: Output image object """ return Wrap1to1Func(np.exp)(src) class Log10ZPlusNParam(gds.DataSet): """Log10(z+n) parameters""" n = gds.FloatItem("n") @computation_function() def log10_z_plus_n(src: ImageObj, p: Log10ZPlusNParam) -> ImageObj: """Compute log10(z+n) with :py:data:`numpy.log10` Args: src: input image object p: parameters Returns: Output image object """ dst = dst_1_to_1(src, "log10_z_plus_n", f"n={p.n}") dst.data = np.log10(src.data + p.n) restore_data_outside_roi(dst, src) return dst class DataTypeIParam(gds.DataSet): """Convert image data type parameters""" dtype_str = gds.ChoiceItem( _("Destination data type"), list(zip(ImageObj.get_valid_dtypenames(), ImageObj.get_valid_dtypenames())), help=_("Output image data type."), ) @computation_function() def astype(src: ImageObj, p: DataTypeIParam) -> ImageObj: """Convert image data type with :py:func:`sigima.tools.datatypes.clip_astype` Args: src: input image object p: parameters Returns: Output image object """ dst = dst_1_to_1(src, "clip_astype", p.dtype_str) dst.data = clip_astype(src.data, p.dtype_str) return dst Sigima-1.1.1/sigima/proc/image/measurement.py000066400000000000000000000124211514013333200211130ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """ Measurement computation module ------------------------------ This module provides tools for extracting quantitative information from images, such as object centroids, enclosing circles, and region-based statistics. Main features include: - Centroid and enclosing circle computation - Region/property measurements - Statistical analysis of image regions These functions are useful for image quantification and morphometric analysis. """ # pylint: disable=invalid-name # Allows short reference names like x, y, ... # Note: # ---- # - All `guidata.dataset.DataSet` parameter classes must also be imported # in the `sigima.params` module. # - All functions decorated by `computation_function` must be imported in the upper # level `sigima.proc.image` module. from __future__ import annotations import numpy as np from numpy import ma import sigima.tools.image from sigima.config import _ from sigima.objects import ( GeometryResult, ImageObj, KindShape, SignalObj, TableKind, TableResult, TableResultBuilder, ) from sigima.proc.base import new_signal_result from sigima.proc.decorator import computation_function from sigima.proc.image.base import compute_geometry_from_obj # NOTE: Only parameter classes DEFINED in this module should be included in __all__. # Parameter classes imported from other modules (like sigima.proc.base) should NOT # be re-exported to avoid Sphinx cross-reference conflicts. The sigima.params module # serves as the central API point that imports and re-exports all parameter classes. __all__ = [ "centroid", "enclosing_circle", "horizontal_projection", "stats", "vertical_projection", ] def get_centroid_coords(data: np.ndarray) -> np.ndarray: """Return centroid coordinates with :py:func:`sigima.tools.image.get_centroid_auto` Args: data: input data Returns: Centroid coordinates """ y, x = sigima.tools.image.get_centroid_auto(data) return np.array([(x, y)]) @computation_function() def centroid(image: ImageObj) -> GeometryResult | None: """Compute centroid with :py:func:`sigima.tools.image.get_centroid_fourier` Args: image: input image Returns: Centroid coordinates """ return compute_geometry_from_obj( "centroid", KindShape.MARKER, image, get_centroid_coords ) def get_enclosing_circle_coords(data: np.ndarray) -> np.ndarray: """Return diameter coords for the circle contour enclosing image values above threshold (FWHM) Args: data: input data Returns: Diameter coords """ x, y, r = sigima.tools.image.get_enclosing_circle(data) return np.array([[x, y, r]]) @computation_function() def enclosing_circle(image: ImageObj) -> GeometryResult | None: """Compute minimum enclosing circle with :py:func:`sigima.tools.image.get_enclosing_circle` Args: image: input image Returns: Diameter coords """ return compute_geometry_from_obj( "enclosing_circle", KindShape.CIRCLE, image, get_enclosing_circle_coords ) def __calc_snr_without_warning(data: np.ndarray) -> float: """Calculate SNR based on /σ(z), ignoring warnings Args: data: input data Returns: Signal-to-noise ratio """ with np.errstate(divide="ignore", invalid="ignore"): snr = ma.mean(data) / ma.std(data) return snr @computation_function() def stats(obj: ImageObj) -> TableResult: """Compute statistics on an image Args: obj: input image object Returns: Result properties """ builder = TableResultBuilder(_("Image statistics"), kind=TableKind.STATISTICS) builder.add(ma.min, "min") builder.add(ma.max, "max") builder.add(ma.mean, "mean") builder.add(ma.median, "median") builder.add(ma.std, "std") builder.add(__calc_snr_without_warning, "snr") builder.add(ma.ptp, "ptp") builder.add(ma.sum, "sum") return builder.compute(obj) @computation_function() def horizontal_projection(image: ImageObj) -> SignalObj: """Compute the sum of pixel intensities along each col. (projection on the x-axis). Args: image: Input image object. Returns: Signal object containing the profile. """ dst_signal = new_signal_result( image, "horizontal_projection", units=(image.xunit, image.zunit), labels=(image.xlabel, image.zlabel), ) x = np.linspace(image.x0, image.x0 + image.width - image.dx, image.data.shape[1]) y = image.data.sum(axis=0, dtype=float) dst_signal.set_xydata(x, y) return dst_signal @computation_function() def vertical_projection(image: ImageObj) -> SignalObj: """Compute the sum of pixel intensities along each row (projection on the y-axis). Args: image: Input image object. Returns: Signal object containing the profile. """ dst_signal = new_signal_result( image, "vertical_projection", units=(image.yunit, image.zunit), labels=(image.ylabel, image.zlabel), ) x = np.linspace(image.y0, image.y0 + image.height - image.dy, image.data.shape[0]) y = image.data.sum(axis=1, dtype=float) dst_signal.set_xydata(x, y) return dst_signal Sigima-1.1.1/sigima/proc/image/morphology.py000066400000000000000000000105561514013333200207740ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """ Morphology computation module ----------------------------- This module provides morphological operations for image processing, such as dilation, erosion, opening, and closing. These operations are useful for removing noise, filling gaps, and extracting structures in binary and grayscale images. """ # pylint: disable=invalid-name # Allows short reference names like x, y, ... # Note: # ---- # - All `guidata.dataset.DataSet` parameter classes must also be imported # in the `sigima.params` module. # - All functions decorated by `computation_function` must be imported in the upper # level `sigima.proc.image` module. from __future__ import annotations import guidata.dataset as gds from skimage import morphology from sigima.config import _ from sigima.objects.image import ImageObj from sigima.proc.decorator import computation_function from sigima.proc.image.base import dst_1_to_1, restore_data_outside_roi # NOTE: Only parameter classes DEFINED in this module should be included in __all__. # Parameter classes imported from other modules (like sigima.proc.base) should NOT # be re-exported to avoid Sphinx cross-reference conflicts. The sigima.params module # serves as the central API point that imports and re-exports all parameter classes. __all__ = [ "MorphologyParam", "black_tophat", "closing", "dilation", "erosion", "opening", "white_tophat", ] class MorphologyParam(gds.DataSet): """White Top-Hat parameters""" radius = gds.IntItem( _("Radius"), default=1, min=1, help=_("Footprint (disk) radius.") ) @computation_function() def white_tophat(src: ImageObj, p: MorphologyParam) -> ImageObj: """Compute White Top-Hat with :py:func:`skimage.morphology.white_tophat` Args: src: input image object p: parameters Returns: Output image object """ dst = dst_1_to_1(src, "white_tophat", f"radius={p.radius}") dst.data = morphology.white_tophat(src.data, morphology.disk(p.radius)) restore_data_outside_roi(dst, src) return dst @computation_function() def black_tophat(src: ImageObj, p: MorphologyParam) -> ImageObj: """Compute Black Top-Hat with :py:func:`skimage.morphology.black_tophat` Args: src: input image object p: parameters Returns: Output image object """ dst = dst_1_to_1(src, "black_tophat", f"radius={p.radius}") dst.data = morphology.black_tophat(src.data, morphology.disk(p.radius)) restore_data_outside_roi(dst, src) return dst @computation_function() def erosion(src: ImageObj, p: MorphologyParam) -> ImageObj: """Compute Erosion with :py:func:`skimage.morphology.erosion` Args: src: input image object p: parameters Returns: Output image object """ dst = dst_1_to_1(src, "erosion", f"radius={p.radius}") dst.data = morphology.erosion(src.data, morphology.disk(p.radius)) restore_data_outside_roi(dst, src) return dst @computation_function() def dilation(src: ImageObj, p: MorphologyParam) -> ImageObj: """Compute Dilation with :py:func:`skimage.morphology.dilation` Args: src: input image object p: parameters Returns: Output image object """ dst = dst_1_to_1(src, "dilation", f"radius={p.radius}") dst.data = morphology.dilation(src.data, morphology.disk(p.radius)) restore_data_outside_roi(dst, src) return dst @computation_function() def opening(src: ImageObj, p: MorphologyParam) -> ImageObj: """Compute morphological opening with :py:func:`skimage.morphology.opening` Args: src: input image object p: parameters Returns: Output image object """ dst = dst_1_to_1(src, "opening", f"radius={p.radius}") dst.data = morphology.opening(src.data, morphology.disk(p.radius)) restore_data_outside_roi(dst, src) return dst @computation_function() def closing(src: ImageObj, p: MorphologyParam) -> ImageObj: """Compute morphological closing with :py:func:`skimage.morphology.closing` Args: src: input image object p: parameters Returns: Output image object """ dst = dst_1_to_1(src, "closing", f"radius={p.radius}") dst.data = morphology.closing(src.data, morphology.disk(p.radius)) restore_data_outside_roi(dst, src) return dst Sigima-1.1.1/sigima/proc/image/noise.py000066400000000000000000000060731514013333200177110ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """ Noise addition computation module. ---------------------------------- """ # pylint: disable=invalid-name # Allows short reference names like x, y... # Note: # ---- # - All `guidata.dataset.DataSet` parameter classes must also be imported in the # `sigima.params` module. # - All functions decorated by `computation_function` must be imported in the upper # level `sigima.proc.image` module. from __future__ import annotations import guidata.dataset as gds from sigima.objects.base import ( NormalDistributionParam, PoissonDistributionParam, UniformDistributionParam, ) from sigima.objects.image import ( ImageObj, NormalDistribution2DParam, PoissonDistribution2DParam, UniformDistribution2DParam, create_image_from_param, ) from sigima.proc.decorator import computation_function from sigima.proc.image.arithmetic import addition from sigima.proc.image.base import dst_1_to_1 @computation_function() def add_gaussian_noise(src: ImageObj, p: NormalDistributionParam) -> ImageObj: """Add Gaussian (normal) noise to the input image. Args: src: Source image. p: Parameters. Returns: Result image object. """ param = NormalDistribution2DParam() # Do not confuse with NormalDistributionParam gds.update_dataset(param, p) assert src.data is not None shape = src.data.shape param.height = shape[0] param.width = shape[1] param.dtype = src.data.dtype noise = create_image_from_param(param) dst = dst_1_to_1(src, "add_gaussian_noise", f"mu={p.mu},sigma={p.sigma}") dst.data = addition([dst, noise]).data return dst @computation_function() def add_poisson_noise(src: ImageObj, p: PoissonDistributionParam) -> ImageObj: """Add Poisson noise to the input image. Args: src: Source image. p: Parameters. Returns: Result image object. """ param = PoissonDistribution2DParam() # Do not confuse with PoissonDistributionParam gds.update_dataset(param, p) assert src.data is not None shape = src.data.shape param.height = shape[0] param.width = shape[1] param.dtype = src.data.dtype noise = create_image_from_param(param) dst = dst_1_to_1(src, "add_poisson_noise", f"lam={p.lam}") dst.data = addition([dst, noise]).data return dst @computation_function() def add_uniform_noise(src: ImageObj, p: UniformDistributionParam) -> ImageObj: """Add uniform noise to the input image. Args: src: Source image. p: Parameters. Returns: Result image object. """ param = UniformDistribution2DParam() # Do not confuse with UniformDistributionParam gds.update_dataset(param, p) assert src.data is not None shape = src.data.shape param.height = shape[0] param.width = shape[1] param.dtype = src.data.dtype noise = create_image_from_param(param) dst = dst_1_to_1(src, "add_uniform_noise", f"low={p.vmin}, high={p.vmax}") dst.data = addition([dst, noise]).data return dst Sigima-1.1.1/sigima/proc/image/preprocessing.py000066400000000000000000000124361514013333200214570ustar00rootroot00000000000000# -*- coding: utf-8 -*- """ Image preprocessing functions. This module consolidates preprocessing functions that were previously scattered across different modules (exposure, geometry, fourier). All functions in this module operate on high-level ImageObj objects and use parameter classes from the sigima.proc framework. """ from __future__ import annotations import guidata.dataset as gds import numpy as np import sigima.enums import sigima.tools.image from sigima.config import _ from sigima.enums import PadLocation2D from sigima.objects.image import ImageObj from sigima.proc.decorator import computation_function from sigima.proc.image.base import dst_1_to_1 __all__ = [ "BinningParam", "ZeroPadding2DParam", "binning", "zero_padding", ] class BinningParam(gds.DataSet): """Binning parameters.""" sx = gds.IntItem( _("Cluster size (X)"), default=2, min=2, help=_("Number of adjacent pixels to be combined together along X-axis."), ) sy = gds.IntItem( _("Cluster size (Y)"), default=2, min=2, help=_("Number of adjacent pixels to be combined together along Y-axis."), ) operation = gds.ChoiceItem( _("Operation"), sigima.enums.BinningOperation, default=sigima.enums.BinningOperation.SUM, ) dtypes = ["dtype"] + ImageObj.get_valid_dtypenames() dtype_str = gds.ChoiceItem( _("Data type"), list(zip(dtypes, dtypes)), help=_("Output image data type."), ) change_pixel_size = gds.BoolItem( _("Change pixel size"), default=True, help=_( "If checked, pixel size is updated according to binning factors. " "Users who prefer to work with pixel coordinates may want to uncheck this." ), ) @computation_function() def binning(src: ImageObj, p: BinningParam) -> ImageObj: """Binning: image pixel binning (or aggregation). Depending on the algorithm, the input image may be cropped to fit an integer number of blocks. Args: src: source image p: parameters Returns: Output image Raises: ValueError: if source image has non-uniform coordinates """ if not src.is_uniform_coords: raise ValueError("Binning only works with images having uniform coordinates") # Create destination image dst = dst_1_to_1( src, "binning", f"{p.sx}x{p.sy},{p.operation},change_pixel_size={p.change_pixel_size}", ) dst.data = sigima.tools.image.binning( src.data, sx=p.sx, sy=p.sy, operation=p.operation, dtype=None if p.dtype_str == "dtype" else p.dtype_str, ) if p.change_pixel_size: if not np.isnan(src.dx) and not np.isnan(src.dy): # Update coordinates with new pixel spacing new_dx = src.dx * p.sx new_dy = src.dy * p.sy dst.set_uniform_coords(new_dx, new_dy, src.x0, src.y0) return dst class ZeroPadding2DParam(gds.DataSet): """Zero padding parameters for 2D images""" def __init__(self, *args, **kwargs) -> None: super().__init__(*args, **kwargs) self.__obj: ImageObj | None = None def update_from_obj(self, obj: ImageObj) -> None: """Update parameters from image""" self.__obj = obj self.choice_callback(None, self.strategy) def choice_callback(self, item, value): # pylint: disable=unused-argument """Callback to update padding values""" if self.__obj is None: return rows, cols = self.__obj.data.shape if value == "next_pow2": self.rows = 2 ** int(np.ceil(np.log2(rows))) - rows self.cols = 2 ** int(np.ceil(np.log2(cols))) - cols elif value == "multiple_of_64": self.rows = (64 - rows % 64) if rows % 64 != 0 else 0 self.cols = (64 - cols % 64) if cols % 64 != 0 else 0 strategies = ("next_pow2", "multiple_of_64", "custom") _prop = gds.GetAttrProp("strategy") strategy = gds.ChoiceItem( _("Padding strategy"), zip(strategies, strategies), default=strategies[-1] ).set_prop("display", store=_prop, callback=choice_callback) _func_prop = gds.FuncProp(_prop, lambda x: x == "custom") rows = gds.IntItem(_("Rows to add"), min=0, default=0).set_prop( "display", active=_func_prop ) cols = gds.IntItem(_("Columns to add"), min=0, default=0).set_prop( "display", active=_func_prop ) position = gds.ChoiceItem( _("Padding position"), PadLocation2D, default=PadLocation2D.BOTTOM_RIGHT ) @computation_function() def zero_padding( src: ImageObj, p: ZeroPadding2DParam | None = None, ) -> ImageObj: """Zero-padding: add zeros to image borders. Args: src: input image object p: parameters Returns: Output image object """ if p is None: p = ZeroPadding2DParam.create() if p.strategy == "custom": suffix = f"rows={p.rows}, cols={p.cols}" else: suffix = f"strategy={p.strategy}" suffix += f", position={p.position}" dst = dst_1_to_1(src, "zero_padding", suffix) result = sigima.tools.image.zero_padding( src.data, rows=p.rows, cols=p.cols, position=p.position, ) dst.data = result return dst Sigima-1.1.1/sigima/proc/image/restoration.py000066400000000000000000000150761514013333200211500ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """ Restoration computation module ------------------------------ This module provides image restoration techniques, such as denoising, inpainting, and deblurring. These methods aim to recover the original quality of images by removing artifacts, noise, or distortions. """ # pylint: disable=invalid-name # Allows short reference names like x, y, ... # Note: # ---- # - All `guidata.dataset.DataSet` parameter classes must also be imported # in the `sigima.params` module. # - All functions decorated by `computation_function` must be imported in the upper # level `sigima.proc.image` module. from __future__ import annotations from typing import TYPE_CHECKING import guidata.dataset as gds import numpy as np import pywt from skimage import morphology, restoration from sigima.config import _ from sigima.enums import ShrinkageMethod, ThresholdMethod, WaveletMode from sigima.objects.image import ImageObj, ROI2DParam from sigima.proc.decorator import computation_function from sigima.proc.image.base import Wrap1to1Func, dst_1_to_1, restore_data_outside_roi if TYPE_CHECKING: import sigima.params # NOTE: Only parameter classes DEFINED in this module should be included in __all__. # Parameter classes imported from other modules (like sigima.proc.base) should NOT # be re-exported to avoid Sphinx cross-reference conflicts. The sigima.params module # serves as the central API point that imports and re-exports all parameter classes. __all__ = [ "DenoiseBilateralParam", "DenoiseTVParam", "DenoiseWaveletParam", "denoise_bilateral", "denoise_tophat", "denoise_tv", "denoise_wavelet", "erase", ] class DenoiseTVParam(gds.DataSet): """Total Variation denoising parameters""" weight = gds.FloatItem( _("Denoising weight"), default=0.1, min=0, nonzero=True, help=_( "The greater weight, the more denoising " "(at the expense of fidelity to input)." ), ) eps = gds.FloatItem( "Epsilon", default=0.0002, min=0, nonzero=True, help=_( "Relative difference of the value of the cost function that " "determines the stop criterion. The algorithm stops when: " "(E_(n-1) - E_n) < eps * E_0" ), ) max_num_iter = gds.IntItem( _("Max. iterations"), default=200, min=0, nonzero=True, help=_("Maximal number of iterations used for the optimization"), ) @computation_function() def denoise_tv(src: ImageObj, p: DenoiseTVParam) -> ImageObj: """Compute Total Variation denoising with :py:func:`skimage.restoration.denoise_tv_chambolle` Args: src: input image object p: parameters Returns: Output image object """ return Wrap1to1Func( restoration.denoise_tv_chambolle, weight=p.weight, eps=p.eps, max_num_iter=p.max_num_iter, func_name="denoise_tv", )(src) class DenoiseBilateralParam(gds.DataSet): """Bilateral filter denoising parameters""" sigma_spatial = gds.FloatItem( "σspatial", default=1.0, min=0, nonzero=True, unit="pixels", help=_( "Standard deviation for range distance. " "A larger value results in averaging of pixels " "with larger spatial differences." ), ) mode = gds.ChoiceItem(_("Mode"), WaveletMode, default=WaveletMode.CONSTANT) cval = gds.FloatItem( "cval", default=0.0, help=_( "Used in conjunction with mode 'constant', " "the value outside the image boundaries." ), ) @computation_function() def denoise_bilateral(src: ImageObj, p: DenoiseBilateralParam) -> ImageObj: """Compute bilateral filter denoising with :py:func:`skimage.restoration.denoise_bilateral` Args: src: input image object p: parameters Returns: Output image object """ return Wrap1to1Func( restoration.denoise_bilateral, sigma_spatial=p.sigma_spatial, mode=p.mode, cval=p.cval, )(src) class DenoiseWaveletParam(gds.DataSet): """Wavelet denoising parameters""" wavelets = pywt.wavelist() wavelet = gds.ChoiceItem( _("Wavelet"), list(zip(wavelets, wavelets)), default="sym9" ) mode = gds.ChoiceItem(_("Mode"), ThresholdMethod, default=ThresholdMethod.SOFT) method = gds.ChoiceItem( _("Method"), ShrinkageMethod, default=ShrinkageMethod.VISU_SHRINK ) @computation_function() def denoise_wavelet(src: ImageObj, p: DenoiseWaveletParam) -> ImageObj: """Compute Wavelet denoising with :py:func:`skimage.restoration.denoise_wavelet` Args: src: input image object p: parameters Returns: Output image object """ return Wrap1to1Func( restoration.denoise_wavelet, wavelet=p.wavelet, mode=p.mode, method=p.method )(src) @computation_function() def denoise_tophat(src: ImageObj, p: sigima.params.MorphologyParam) -> ImageObj: """Denoise using White Top-Hat with :py:func:`skimage.morphology.white_tophat` Args: src: input image object p: parameters Returns: Output image object """ dst = dst_1_to_1(src, "denoise_tophat", f"radius={p.radius}") dst.data = src.data - morphology.white_tophat(src.data, morphology.disk(p.radius)) restore_data_outside_roi(dst, src) return dst @computation_function() def erase(src: ImageObj, p: ROI2DParam | list[ROI2DParam]) -> ImageObj: """Erase an area of the image using the mean value of the image. .. note:: The erased area is defined by a region of interest (ROI) parameter set. This ROI must not be mistaken with the ROI of the image object. If the image object has a ROI, it is not used in this processing, except to restore the data outside the ROI (as in all other processing). Args: src: input image object p: parameters defining the area to erase (region of interest) Returns: Output image object """ params = [p] if isinstance(p, ROI2DParam) else p suffix = None if len(params) == 1: suffix = params[0].get_suffix() dst = dst_1_to_1(src, "erase", suffix) for param in params: value = np.nanmean(param.get_data(src)) erase_roi = param.to_single_roi(src) mask = erase_roi.to_mask(src) dst.data[~mask] = value restore_data_outside_roi(dst, src) return dst Sigima-1.1.1/sigima/proc/image/threshold.py000066400000000000000000000146331514013333200205710ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """ Threshold computation module ---------------------------- This module provides various thresholding techniques for image segmentation. Thresholding is a simple yet effective method to separate objects from the background in an image by converting it into a binary image based on a specified threshold value. """ # pylint: disable=invalid-name # Allows short reference names like x, y, ... # Note: # ---- # - All `guidata.dataset.DataSet` parameter classes must also be imported # in the `sigima.params` module. # - All functions decorated by `computation_function` must be imported in the upper # level `sigima.proc.image` module. from __future__ import annotations import guidata.dataset as gds import skimage.util from skimage import filters from sigima.config import _ from sigima.objects.image import ImageObj from sigima.proc.decorator import computation_function from sigima.proc.image.base import dst_1_to_1, restore_data_outside_roi # NOTE: Only parameter classes DEFINED in this module should be included in __all__. # Parameter classes imported from other modules (like sigima.proc.base) should NOT # be re-exported to avoid Sphinx cross-reference conflicts. The sigima.params module # serves as the central API point that imports and re-exports all parameter classes. __all__ = [ "ThresholdParam", "threshold", "threshold_isodata", "threshold_li", "threshold_mean", "threshold_minimum", "threshold_otsu", "threshold_triangle", "threshold_yen", ] class ThresholdParam(gds.DataSet): """Histogram threshold parameters""" methods = ( ("manual", _("Manual")), ("isodata", "ISODATA"), ("li", "Li"), ("mean", _("Mean")), ("minimum", _("Minimum")), ("otsu", "Otsu"), ("triangle", _("Triangle")), ("yen", "Yen"), ) _method_prop = gds.GetAttrProp("method") method = gds.ChoiceItem(_("Threshold method"), methods, default="manual").set_prop( "display", store=_method_prop ) bins = gds.IntItem(_("Number of bins"), default=256, min=1).set_prop( "display", active=gds.FuncProp(_method_prop, lambda x: x not in ("li", "mean", "manual")), ) value = gds.FloatItem(_("Threshold value"), default=0.0).set_prop( "display", active=gds.FuncProp(_method_prop, lambda x: x == "manual") ) operation = gds.ChoiceItem( _("Operation"), ((">", _("Greater than")), ("<", _("Less than"))), default=">", ) @computation_function() def threshold(src: ImageObj, p: ThresholdParam) -> ImageObj: """Compute the threshold, using one of the available algorithms: - Manual: a fixed threshold value - ISODATA: :py:func:`skimage.filters.threshold_isodata` - Li: :py:func:`skimage.filters.threshold_li` - Mean: :py:func:`skimage.filters.threshold_mean` - Minimum: :py:func:`skimage.filters.threshold_minimum` - Otsu: :py:func:`skimage.filters.threshold_otsu` - Triangle: :py:func:`skimage.filters.threshold_triangle` - Yen: :py:func:`skimage.filters.threshold_yen` Args: src: input image object p: parameters Returns: Output image object """ if p.method == "manual": suffix = f"value={p.value}" value = p.value else: suffix = f"method={p.method}" if p.method not in ("li", "mean"): suffix += f", nbins={p.bins}" func = getattr(filters, f"threshold_{p.method}") args = [] if p.method in ("li", "mean") else [p.bins] value = func(src.data, *args) suffix += f", op='{p.operation}'" dst = dst_1_to_1(src, "threshold", suffix) data = src.data > value if p.operation == ">" else src.data < value dst.data = skimage.util.img_as_ubyte(data) dst.zscalemin, dst.zscalemax = 0, 255 # LUT range dst.set_metadata_option("colormap", "gray") restore_data_outside_roi(dst, src) return dst @computation_function() def threshold_isodata(src: ImageObj) -> ImageObj: """Compute the threshold using the Isodata algorithm with default parameters, see :py:func:`skimage.filters.threshold_isodata` Args: src: input image object Returns: Output image object """ return threshold(src, ThresholdParam.create(method="isodata")) @computation_function() def threshold_li(src: ImageObj) -> ImageObj: """Compute the threshold using the Li algorithm with default parameters, see :py:func:`skimage.filters.threshold_li` Args: src: input image object Returns: Output image object """ return threshold(src, ThresholdParam.create(method="li")) @computation_function() def threshold_mean(src: ImageObj) -> ImageObj: """Compute the threshold using the Mean algorithm, see :py:func:`skimage.filters.threshold_mean` Args: src: input image object Returns: Output image object """ return threshold(src, ThresholdParam.create(method="mean")) @computation_function() def threshold_minimum(src: ImageObj) -> ImageObj: """Compute the threshold using the Minimum algorithm with default parameters, see :py:func:`skimage.filters.threshold_minimum` Args: src: input image object Returns: Output image object """ return threshold(src, ThresholdParam.create(method="minimum")) @computation_function() def threshold_otsu(src: ImageObj) -> ImageObj: """Compute the threshold using the Otsu algorithm with default parameters, see :py:func:`skimage.filters.threshold_otsu` Args: src: input image object Returns: Output image object """ return threshold(src, ThresholdParam.create(method="otsu")) @computation_function() def threshold_triangle(src: ImageObj) -> ImageObj: """Compute the threshold using the Triangle algorithm with default parameters, see :py:func:`skimage.filters.threshold_triangle` Args: src: input image object Returns: Output image object """ return threshold(src, ThresholdParam.create(method="triangle")) @computation_function() def threshold_yen(src: ImageObj) -> ImageObj: """Compute the threshold using the Yen algorithm with default parameters, see :py:func:`skimage.filters.threshold_yen` Args: src: input image object Returns: Output image object """ return threshold(src, ThresholdParam.create(method="yen")) Sigima-1.1.1/sigima/proc/image/transformations.py000066400000000000000000000316021514013333200220210ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """ Geometry transformations module =============================== This module provides a unified interface for applying geometric transformations to both geometry results (:class:`sigima.objects.GeometryResult`) and ROI objects using the shape coordinate system (:mod:`sigima.objects.shape`). """ from __future__ import annotations from typing import TYPE_CHECKING, Any import numpy as np from sigima.objects.scalar import GeometryResult, KindShape from sigima.objects.shape import ( CircleCoordinates, EllipseCoordinates, PointCoordinates, PolygonCoordinates, RectangleCoordinates, SegmentCoordinates, ) if TYPE_CHECKING: from sigima.objects import CircularROI, ImageObj, PolygonalROI, RectangularROI __all__ = [ "GeometryTransformer", "transformer", ] class GeometryTransformer: """ Singleton class for applying transformations to geometry objects. Provides a unified interface for transforming both GeometryResult and ROI objects using the shape coordinate system. """ _instance: GeometryTransformer | None = None def __new__(cls) -> GeometryTransformer: """Ensure singleton pattern.""" if cls._instance is None: cls._instance = super().__new__(cls) cls._instance._initialized = False return cls._instance def __init__(self) -> None: """Initialize the transformer (only once due to singleton).""" if self._initialized: # pylint: disable=access-member-before-definition return # Mapping from GeometryResult kinds to shape coordinate classes self._geometry_shape_map: dict[ KindShape, type[ RectangleCoordinates | CircleCoordinates | PolygonCoordinates | SegmentCoordinates ], ] = { KindShape.POINT: PointCoordinates, KindShape.RECTANGLE: RectangleCoordinates, KindShape.CIRCLE: CircleCoordinates, KindShape.ELLIPSE: EllipseCoordinates, KindShape.POLYGON: PolygonCoordinates, KindShape.SEGMENT: SegmentCoordinates, KindShape.MARKER: PointCoordinates, } # Mapping from ROI types to shape coordinate classes (lazy loaded) self._roi_shape_map: dict[type, type] = {} self._initialized = True def _get_roi_shape_map( self, ) -> dict[ type[CircularROI | RectangularROI | PolygonalROI], type[RectangleCoordinates | CircleCoordinates | PolygonCoordinates], ]: """Lazy load ROI shape mapping to avoid circular imports.""" if not self._roi_shape_map: # pylint: disable=import-outside-toplevel from sigima.objects.image import CircularROI, PolygonalROI, RectangularROI self._roi_shape_map = { RectangularROI: RectangleCoordinates, CircularROI: CircleCoordinates, PolygonalROI: PolygonCoordinates, } return self._roi_shape_map def transform_geometry( self, geometry: GeometryResult, operation: str, **kwargs: Any ) -> GeometryResult: """ Transform a GeometryResult and return a new one. Args: geometry: The GeometryResult to transform. operation: Operation name ('rotate', 'translate', 'fliph', 'flipv', 'transpose', 'scale'). **kwargs: Operation-specific parameters. Returns: New GeometryResult with transformed coordinates. Raises: ValueError: If operation is unknown or geometry kind is unsupported. """ coord_class = self._geometry_shape_map.get(geometry.kind) if coord_class is None: raise ValueError(f"Unsupported geometry kind: {geometry.kind}") # Transform each row of coordinates transformed_coords = [] for row in geometry.coords: # Create coordinate object for this row shape_coords = coord_class(row.copy()) # Apply transformation self._apply_operation(shape_coords, operation, **kwargs) transformed_coords.append(shape_coords.data) # Create new GeometryResult with transformed coordinates return GeometryResult( title=geometry.title, kind=geometry.kind, coords=np.array(transformed_coords), roi_indices=( geometry.roi_indices.copy() if geometry.roi_indices is not None else None ), attrs=geometry.attrs.copy(), func_name=geometry.func_name, ) def transform_single_roi( self, single_roi: RectangularROI | CircularROI | PolygonalROI, operation: str, **kwargs: Any, ) -> None: """ Transform ROI coordinates inplace. Args: single_roi: ROI object with .coords attribute. operation: Operation name. **kwargs: Operation-specific parameters. Raises: ValueError: If ROI type is unsupported or operation is unknown. """ roi_shape_map = self._get_roi_shape_map() coord_class = roi_shape_map.get(type(single_roi)) if coord_class is None: raise ValueError(f"Unsupported ROI type: {type(single_roi)}") # Create shape coordinates and transform shape_coords = coord_class(single_roi.coords.copy()) self._apply_operation(shape_coords, operation, **kwargs) # Update ROI coordinates inplace single_roi.coords[:] = shape_coords.data def transform_roi(self, image: ImageObj, operation: str, **kwargs: Any) -> None: """ Transform all ROI coordinates in an ImageObj inplace. Args: image: Image object whose ROI coordinates will be transformed. operation: Operation name. **kwargs: Operation-specific parameters. """ if image.roi is None or image.roi.is_empty(): return # Import here to avoid circular imports # pylint: disable=import-outside-toplevel from sigima.objects.image import ImageROI # Determine ROI type and set up appropriate classes new_roi = ImageROI() # Transform each single ROI for single_roi in image.roi.single_rois: coords = single_roi.coords.copy() roi_class = single_roi.__class__ # Create shape coordinates and transform roi_shape_map = self._get_roi_shape_map() coord_class = roi_shape_map.get(roi_class) if coord_class is None: raise ValueError(f"Unsupported ROI type: {roi_class}") shape_coords = coord_class(coords) self._apply_operation(shape_coords, operation, **kwargs) new_coords = shape_coords.data new_single_roi = roi_class(new_coords, single_roi.indices, single_roi.title) new_roi.add_roi(new_single_roi) image.roi = new_roi def _apply_operation( self, shape_coords: ( PointCoordinates | RectangleCoordinates | CircleCoordinates | EllipseCoordinates | PolygonCoordinates | SegmentCoordinates ), operation: str, **kwargs: Any, ) -> None: """ Apply the specified operation to shape coordinates. Args: shape_coords: Shape coordinate object to transform. operation: Operation name. **kwargs: Operation-specific parameters. Raises: ValueError: If operation is unknown. """ if operation == "rotate": angle = kwargs.get("angle", 0) center = kwargs.get("center", (0, 0)) shape_coords.rotate(angle, center) elif operation == "translate": dx = kwargs.get("dx", 0) dy = kwargs.get("dy", 0) shape_coords.translate(dx, dy) elif operation == "fliph": cx = kwargs.get("cx", 0.0) shape_coords.fliph(cx) elif operation == "flipv": cy = kwargs.get("cy", 0.0) shape_coords.flipv(cy) elif operation == "transpose": shape_coords.transpose() elif operation == "scale": sx = kwargs.get("sx", 1.0) sy = kwargs.get("sy", 1.0) center = kwargs.get("center", (0, 0)) shape_coords.scale(sx, sy, center) else: raise ValueError(f"Unknown operation: {operation}") # Convenience methods for common operations def rotate( self, obj: GeometryResult | RectangularROI | CircularROI | PolygonalROI, angle: float, center: tuple[float, float], ) -> GeometryResult | None: """ Rotate geometry or ROI by given angle around center. Args: obj: GeometryResult or single ROI object. angle: Rotation angle in radians. center: Center of rotation (x, y). Returns: New GeometryResult if input was GeometryResult, None if ROI (inplace). """ if isinstance(obj, GeometryResult): return self.transform_geometry(obj, "rotate", angle=angle, center=center) self.transform_single_roi(obj, "rotate", angle=angle, center=center) return None def translate( self, obj: GeometryResult | RectangularROI | CircularROI | PolygonalROI, dx: float, dy: float, ) -> GeometryResult | None: """ Translate geometry or ROI by given offset. Args: obj: GeometryResult or single ROI object. dx: Translation in x direction. dy: Translation in y direction. Returns: New GeometryResult if input was GeometryResult, None if ROI (inplace). """ if isinstance(obj, GeometryResult): return self.transform_geometry(obj, "translate", dx=dx, dy=dy) self.transform_single_roi(obj, "translate", dx=dx, dy=dy) return None def fliph( self, obj: GeometryResult | RectangularROI | CircularROI | PolygonalROI, cx: float, ) -> GeometryResult | None: """ Flip geometry or ROI horizontally around given x-coordinate. Args: obj: GeometryResult or single ROI object. cx: X-coordinate of flip axis. Returns: New GeometryResult if input was GeometryResult, None if ROI (inplace). """ if isinstance(obj, GeometryResult): return self.transform_geometry(obj, "fliph", cx=cx) self.transform_single_roi(obj, "fliph", cx=cx) return None def flipv( self, obj: GeometryResult | RectangularROI | CircularROI | PolygonalROI, cy: float, ) -> GeometryResult | None: """ Flip geometry or ROI vertically around given y-coordinate. Args: obj: GeometryResult or single ROI object. cy: Y-coordinate of flip axis. Returns: New GeometryResult if input was GeometryResult, None if ROI (inplace). """ if isinstance(obj, GeometryResult): return self.transform_geometry(obj, "flipv", cy=cy) self.transform_single_roi(obj, "flipv", cy=cy) return None def transpose( self, obj: GeometryResult | RectangularROI | CircularROI | PolygonalROI ) -> GeometryResult | None: """ Transpose geometry or ROI (swap x and y coordinates). Args: obj: GeometryResult or single ROI object. Returns: New GeometryResult if input was GeometryResult, None if ROI (inplace). """ if isinstance(obj, GeometryResult): return self.transform_geometry(obj, "transpose") self.transform_single_roi(obj, "transpose") return None def scale( self, obj: GeometryResult | RectangularROI | CircularROI | PolygonalROI, sx: float, sy: float, center: tuple[float, float], ) -> GeometryResult | None: """ Scale geometry or ROI by given factors around center. Args: obj: GeometryResult or single ROI object. sx: Scale factor in x direction. sy: Scale factor in y direction. center: Center of scaling (x, y). Returns: New GeometryResult if input was GeometryResult, None if ROI (inplace). """ if isinstance(obj, GeometryResult): return self.transform_geometry(obj, "scale", sx=sx, sy=sy, center=center) self.transform_single_roi(obj, "scale", sx=sx, sy=sy, center=center) return None #: Global singleton instance of GeometryTransformer for applying geometric #: transformations to geometry results and ROI objects. transformer = GeometryTransformer() Sigima-1.1.1/sigima/proc/signal/000077500000000000000000000000001514013333200164075ustar00rootroot00000000000000Sigima-1.1.1/sigima/proc/signal/__init__.py000066400000000000000000000161101514013333200205170ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """ Basic signal processing ~~~~~~~~~~~~~~~~~~~~~~~ .. automodule:: sigima.proc.signal.base :members: :no-index: Arithmetic ~~~~~~~~~~ .. automodule:: sigima.proc.signal.arithmetic :members: :no-index: Mathematical Operations ~~~~~~~~~~~~~~~~~~~~~~~ .. automodule:: sigima.proc.signal.mathops :members: :no-index: Extraction ~~~~~~~~~~ .. automodule:: sigima.proc.signal.extraction :members: :no-index: Filtering ~~~~~~~~~ .. automodule:: sigima.proc.signal.filtering :members: :no-index: Processing ~~~~~~~~~~ .. automodule:: sigima.proc.signal.processing :members: :no-index: Fourier ~~~~~~~ .. automodule:: sigima.proc.signal.fourier :members: :no-index: Fitting ~~~~~~~ .. automodule:: sigima.proc.signal.fitting :members: :no-index: Features ~~~~~~~~ .. automodule:: sigima.proc.signal.features :members: :no-index: Stability ~~~~~~~~~ .. automodule:: sigima.proc.signal.stability :members: :no-index: Analysis ~~~~~~~~ .. automodule:: sigima.proc.signal.analysis :members: :no-index: """ # pylint: disable=invalid-name # Allows short reference names like x, y, ... # MARK: Important notes # --------------------- # - All `guidata.dataset.DataSet` classes must also be imported # in the `sigima.params` module. # - All functions decorated by `computation_function` defined in the other modules # of this package must be imported right here. from __future__ import annotations # Import parameter classes from the main base module from sigima.proc.signal.analysis import ( PulseFeaturesParam, contrast, extract_pulse_features, histogram, sampling_rate_period, x_at_minmax, ) from sigima.proc.signal.arithmetic import ( addition, addition_constant, arithmetic, average, difference, difference_constant, division, division_constant, product, product_constant, quadratic_difference, signals_to_image, standard_deviation, ) from sigima.proc.signal.base import ( Wrap1to1Func, compute_geometry_from_obj, is_uncertainty_data_available, restore_data_outside_roi, ) from sigima.proc.signal.extraction import ( extract_roi, extract_rois, ) from sigima.proc.signal.features import ( AbscissaParam, DynamicParam, FWHMParam, OrdinateParam, PeakDetectionParam, bandwidth_3db, dynamic_parameters, full_width_at_y, fw1e2, fwhm, peak_detection, stats, x_at_y, y_at_x, ) from sigima.proc.signal.filtering import ( BandPassFilterParam, BandStopFilterParam, BaseHighLowBandParam, FrequencyFilterMethod, HighPassFilterParam, LowPassFilterParam, PadLocation1D, add_gaussian_noise, add_poisson_noise, add_uniform_noise, bandpass, bandstop, frequency_filter, gaussian_filter, get_nyquist_frequency, highpass, lowpass, moving_average, moving_median, wiener, ) from sigima.proc.signal.fitting import ( PolynomialFitParam, cdf_fit, evaluate_fit, exponential_fit, extract_fit_params, gaussian_fit, linear_fit, lorentzian_fit, piecewiseexponential_fit, planckian_fit, polynomial_fit, sigmoid_fit, sinusoidal_fit, twohalfgaussian_fit, voigt_fit, ) from sigima.proc.signal.fourier import ( ZeroPadding1DParam, fft, ifft, magnitude_spectrum, phase_spectrum, psd, zero_padding, ) from sigima.proc.signal.mathops import ( DataTypeSParam, PowerParam, absolute, astype, complex_from_magnitude_phase, complex_from_real_imag, exp, imag, inverse, log10, phase, power, real, sqrt, to_cartesian, to_polar, transpose, ) from sigima.proc.signal.processing import ( DetrendingParam, InterpolationParam, Resampling1DParam, WindowingParam, XYCalibrateParam, apply_window, calibration, check_same_sample_rate, clip, convolution, deconvolution, derivative, detrending, integral, interpolate, normalize, offset_correction, replace_x_by_other_y, resampling, reverse_x, xy_mode, ) from sigima.proc.signal.stability import ( AllanVarianceParam, allan_deviation, allan_variance, hadamard_variance, modified_allan_variance, overlapping_allan_variance, time_deviation, total_variance, ) __all__ = [ "AbscissaParam", "AllanVarianceParam", "BandPassFilterParam", "BandStopFilterParam", "BaseHighLowBandParam", "DataTypeSParam", "DetrendingParam", "DynamicParam", "FWHMParam", "FrequencyFilterMethod", "HighPassFilterParam", "InterpolationParam", "LowPassFilterParam", "OrdinateParam", "PadLocation1D", "PeakDetectionParam", "PolynomialFitParam", "PowerParam", "PulseFeaturesParam", "Resampling1DParam", "WindowingParam", "Wrap1to1Func", "XYCalibrateParam", "ZeroPadding1DParam", "absolute", "add_gaussian_noise", "add_poisson_noise", "add_uniform_noise", "addition", "addition_constant", "allan_deviation", "allan_variance", "apply_window", "arithmetic", "astype", "average", "bandpass", "bandstop", "bandwidth_3db", "calibration", "cdf_fit", "check_same_sample_rate", "clip", "complex_from_magnitude_phase", "complex_from_real_imag", "compute_geometry_from_obj", "contrast", "convolution", "deconvolution", "derivative", "detrending", "difference", "difference_constant", "division", "division_constant", "dynamic_parameters", "evaluate_fit", "exp", "exponential_fit", "extract_fit_params", "extract_pulse_features", "extract_roi", "extract_rois", "fft", "frequency_filter", "full_width_at_y", "fw1e2", "fwhm", "gaussian_filter", "gaussian_fit", "get_nyquist_frequency", "hadamard_variance", "highpass", "histogram", "ifft", "imag", "integral", "interpolate", "inverse", "is_uncertainty_data_available", "linear_fit", "log10", "lorentzian_fit", "lowpass", "magnitude_spectrum", "modified_allan_variance", "moving_average", "moving_median", "normalize", "offset_correction", "overlapping_allan_variance", "peak_detection", "phase", "phase_spectrum", "piecewiseexponential_fit", "planckian_fit", "polynomial_fit", "power", "product", "product_constant", "psd", "quadratic_difference", "real", "replace_x_by_other_y", "resampling", "restore_data_outside_roi", "reverse_x", "sampling_rate_period", "sigmoid_fit", "signals_to_image", "sinusoidal_fit", "sqrt", "standard_deviation", "stats", "time_deviation", "to_cartesian", "to_polar", "total_variance", "transpose", "twohalfgaussian_fit", "voigt_fit", "wiener", "x_at_minmax", "x_at_y", "xy_mode", "y_at_x", "zero_padding", ] Sigima-1.1.1/sigima/proc/signal/analysis.py000066400000000000000000000152671514013333200206170ustar00rootroot00000000000000# -*- coding: utf-8 -*- # Licensed under the terms of the BSD 3-Clause # (see sigima/LICENSE for details) """ General analysis functions ========================== This module provides general analysis functions for signal objects: - Histogram computation - Other analysis operations .. note:: Most operations use standard NumPy/SciPy functions or custom analysis routines. """ from __future__ import annotations import guidata.dataset as gds import numpy as np from sigima.config import _ from sigima.objects import ( SignalObj, TableKind, TableResult, TableResultBuilder, ) from sigima.proc.base import HistogramParam, new_signal_result from sigima.proc.decorator import computation_function from sigima.tools.signal import dynamic, features, pulse @computation_function() def histogram(src: SignalObj, p: HistogramParam) -> SignalObj: """Compute histogram with :py:func:`numpy.histogram` Args: src: source signal p: parameters Returns: Result signal object """ data = src.get_masked_view().compressed() suffix = p.get_suffix(data) # Also updates p.lower and p.upper # Compute histogram: y, bin_edges = np.histogram(data, bins=p.bins, range=(p.lower, p.upper)) x = (bin_edges[:-1] + bin_edges[1:]) / 2 # Note: we use the `new_signal_result` function to create the result signal object # because the `dst_1_to_1` would copy the source signal, which is not what we want # here (we want a brand new signal object). dst = new_signal_result( src, "histogram", suffix=suffix, units=(src.yunit, ""), labels=(src.ylabel, _("Counts")), ) dst.set_xydata(x, y) dst.set_metadata_option("shade", 0.5) dst.set_metadata_option("curvestyle", "Steps") return dst class PulseFeaturesParam(gds.DataSet, title=_("Pulse features")): """Pulse features parameters.""" signal_shape = gds.ChoiceItem( _("Signal shape"), [ (None, _("Auto")), ("step", _("Step")), ("square", _("Square")), ], default=None, help=_("Signal type: auto-detect, step, or square."), ) xstartmin = gds.FloatItem( _("Start baseline min"), default=0.0, help=_("Lower X boundary for the start baseline"), ) xstartmax = gds.FloatItem( _("Start baseline max"), default=0.0, help=_("Upper X boundary for the start baseline"), ) xendmin = gds.FloatItem( _("End baseline min"), default=1.0, help=_("Lower X boundary for the end baseline"), ) xendmax = gds.FloatItem( _("End baseline max"), default=1.0, help=_("Upper X boundary for the end baseline"), ) reference_levels = gds.ChoiceItem( _("Rise/Fall time"), [ ((5, 95), _("5% - 95% (High precision)")), ((10, 90), _("10% - 90% (IEEE standard)")), ((20, 80), _("20% - 80% (Noisy signals)")), ((25, 75), _("25% - 75% (Alternative)")), ], default=(10, 90), help=_( "Reference levels for rise/fall time measurement. " "10%-90% is the IEEE standard for digital signal analysis." ), ) def update_from_obj(self, obj: SignalObj) -> None: """Update parameters from a signal object.""" self.xstartmin, self.xstartmax = pulse.get_start_range(obj.x) self.xendmin, self.xendmax = pulse.get_end_range(obj.x) @computation_function() def extract_pulse_features(obj: SignalObj, p: PulseFeaturesParam) -> TableResult: """Extract pulse features. Args: obj: The signal object from which to extract features. p: The pulse features parameters. Returns: An object containing the pulse features. """ start_ratio, stop_ratio = p.reference_levels def func_extract_pulse_features(xydata: tuple[np.ndarray, np.ndarray]): """Extract pulse features (internal function). Args: xydata: Tuple of (x, y) data arrays Returns: Pulse features dataclass """ x, y = xydata # When processing ROI data, the start/end ranges from parameters might be # outside the ROI's x-range. In that case, use None to auto-detect ranges. start_range = [p.xstartmin, p.xstartmax] end_range = [p.xendmin, p.xendmax] # Check if ranges are within the data's x-range x_min, x_max = x.min(), x.max() if ( start_range[0] < x_min or start_range[1] > x_max or end_range[0] < x_min or end_range[1] > x_max ): # Ranges are outside ROI bounds - use auto-detection start_range = None end_range = None return pulse.extract_pulse_features( x, y, signal_shape=p.signal_shape, start_range=start_range, end_range=end_range, start_ratio=start_ratio / 100.0, stop_ratio=stop_ratio / 100.0, ) builder = TableResultBuilder(_("Pulse features"), kind=TableKind.PULSE_FEATURES) builder.set_global_function(func_extract_pulse_features) builder.hide_columns( ["xstartmin", "xstartmax", "xendmin", "xendmax", "xplateaumin", "xplateaumax"] ) return builder.compute(obj) @computation_function() def sampling_rate_period(obj: SignalObj) -> TableResult: """Compute sampling rate and period using the following functions: - fs: :py:func:`sigima.tools.signal.dynamic.sampling_rate` - T: :py:func:`sigima.tools.signal.dynamic.sampling_period` Args: obj: source signal Returns: Result properties with sampling rate and period """ table = TableResultBuilder(_("Sampling rate and period")) table.add(lambda xy: dynamic.sampling_rate(xy[0]), "fs") table.add(lambda xy: dynamic.sampling_period(xy[0]), "T") return table.compute(obj) @computation_function() def contrast(obj: SignalObj) -> TableResult: """Compute contrast with :py:func:`sigima.tools.signal.misc.contrast`""" table = TableResultBuilder(_("Contrast")) table.add(lambda xy: features.contrast(xy[1]), "contrast") return table.compute(obj) @computation_function() def x_at_minmax(obj: SignalObj) -> TableResult: """ Compute the smallest argument at the minima and the smallest argument at the maxima. Args: obj: The signal object. Returns: An object containing the x-values at the minima and the maxima. """ table = TableResultBuilder(_("X at min/max")) table.add(lambda xy: xy[0][np.argmin(xy[1])], "X@Ymin") table.add(lambda xy: xy[0][np.argmax(xy[1])], "X@Ymax") return table.compute(obj) Sigima-1.1.1/sigima/proc/signal/arithmetic.py000066400000000000000000000410071514013333200211140ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """ Arithmetic operations on signals ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ """ from __future__ import annotations import warnings from typing import TYPE_CHECKING import numpy as np from sigima.enums import MathOperator, SignalsToImageOrientation from sigima.objects import SignalObj, create_image from sigima.proc.base import ( ArithmeticParam, ConstantParam, SignalsToImageParam, dst_1_to_1, dst_2_to_1, dst_n_to_1, ) from sigima.proc.decorator import computation_function from sigima.proc.signal.base import ( is_uncertainty_data_available, restore_data_outside_roi, ) from sigima.proc.signal.mathops import inverse from sigima.tools.signal import scaling if TYPE_CHECKING: from sigima.objects import ImageObj def __signals_y_to_array(signals: list[SignalObj]) -> np.ndarray: """Create an array from a list of signals, extracting the `y` attribute. Args: signals: List of signal objects. Returns: A NumPy array stacking the `y` attribute from all signals. """ return np.array([sig.y for sig in signals], dtype=signals[0].y.dtype) def __signals_dy_to_array(signals: list[SignalObj]) -> np.ndarray: """Create an array from a list of signals, extracting the `dy` attribute. Args: signals: List of signal objects. Returns: A NumPy array stacking the `dy` attribute from all signals. """ return np.array([sig.dy for sig in signals], dtype=signals[0].dy.dtype) @computation_function() def addition(src_list: list[SignalObj]) -> SignalObj: """Compute the element-wise sum of multiple signals. The first signal in the list defines the "base" signal. All other signals are added element-wise to the base signal. .. note:: If all signals share the same region of interest (ROI), the sum is performed only within the ROI. .. note:: Uncertainties are propagated. .. warning:: It is assumed that all signals have the same size and x-coordinates. Args: src_list: List of source signals. Returns: Signal object representing the sum of the source signals. """ dst = dst_n_to_1(src_list, "Σ") # `dst` data is initialized to `src_list[0]` data. dst.y = np.sum(__signals_y_to_array(src_list), axis=0) if is_uncertainty_data_available(src_list): dst.dy = np.sqrt(np.sum(__signals_dy_to_array(src_list) ** 2, axis=0)) restore_data_outside_roi(dst, src_list[0]) return dst @computation_function() def average(src_list: list[SignalObj]) -> SignalObj: """Compute the element-wise average of multiple signals. The first signal in the list defines the "base" signal. All other signals are averaged element-wise with the base signal. .. note:: If all signals share the same region of interest (ROI), the average is performed only within the ROI. .. note:: Uncertainties are propagated. .. warning:: It is assumed that all signals have the same size and x-coordinates. Args: src_list: List of source signals. Returns: Signal object representing the average of the source signals. """ dst = dst_n_to_1(src_list, "µ") # `dst` data is initialized to `src_list[0]` data. dst.y = np.mean(__signals_y_to_array(src_list), axis=0) if is_uncertainty_data_available(src_list): dy_array = __signals_dy_to_array(src_list) dst.dy = np.sqrt(np.sum(dy_array**2, axis=0)) / len(src_list) restore_data_outside_roi(dst, src_list[0]) return dst @computation_function() def standard_deviation(src_list: list[SignalObj]) -> SignalObj: """Compute the element-wise standard deviation of multiple signals. The first signal in the list defines the "base" signal. All other signals are used to compute the element-wise standard deviation with the base signal. .. note:: If all signals share the same region of interest (ROI), the standard deviation is computed only within the ROI. .. warning:: It is assumed that all signals have the same size and x-coordinates. Args: src_list: List of source signals. Returns: Signal object representing the standard deviation of the source signals. """ dst = dst_n_to_1(src_list, "𝜎") # `dst` data is initialized to `src_list[0]` data dst.y = np.std(__signals_y_to_array(src_list), axis=0, ddof=0) if is_uncertainty_data_available(src_list): dst.dy = dst.y / np.sqrt(2 * (len(src_list) - 1)) restore_data_outside_roi(dst, src_list[0]) return dst @computation_function() def product(src_list: list[SignalObj]) -> SignalObj: """Compute the element-wise product of multiple signals. The first signal in the list defines the "base" signal. All other signals are multiplied element-wise with the base signal. .. note:: If all signals share the same region of interest (ROI), the product is performed only within the ROI. .. note:: Uncertainties are propagated. .. warning:: It is assumed that all signals have the same size and x-coordinates. Args: src_list: List of source signals. Returns: Signal object representing the product of the source signals. """ dst = dst_n_to_1(src_list, "Π") # `dst` data is initialized to `src_list[0]` data. y_array = __signals_y_to_array(src_list) dst.y = np.prod(y_array, axis=0) if is_uncertainty_data_available(src_list): dy_array = __signals_dy_to_array(src_list) with warnings.catch_warnings(): warnings.simplefilter("ignore", category=RuntimeWarning) uncertainty = np.abs(dst.y) * np.sqrt( np.sum((dy_array / y_array) ** 2, axis=0) ) uncertainty[np.isinf(uncertainty)] = np.nan dst.dy = uncertainty restore_data_outside_roi(dst, src_list[0]) return dst @computation_function() def addition_constant(src: SignalObj, p: ConstantParam) -> SignalObj: """Compute the sum of a signal and a constant value. The function adds a constant value to each element of the input signal. .. note:: If the signal has a region of interest (ROI), the addition is performed only within the ROI. .. note:: Uncertainties are propagated. Args: src: Input signal object. p: Constant value. Returns: Result signal object representing the sum of the input signal and the constant. """ # Uncertainty propagation: dst_1_to_1() copies all data including uncertainties. # For addition with constant: σ(y + c) = σ(y), so no modification needed. dst = dst_1_to_1(src, "+", str(p.value)) dst.y += p.value restore_data_outside_roi(dst, src) return dst @computation_function() def difference_constant(src: SignalObj, p: ConstantParam) -> SignalObj: """Compute the difference between a signal and a constant value. The function subtracts a constant value from each element of the input signal. .. note:: If the signal has a region of interest (ROI), the subtraction is performed only within the ROI. .. note:: Uncertainties are propagated. Args: src: Input signal object. p: Constant value. Returns: Result signal object representing the difference between the input signal and the constant. """ # Uncertainty propagation: dst_1_to_1() copies all data including uncertainties. # For subtraction with constant: σ(y - c) = σ(y), so no modification needed. dst = dst_1_to_1(src, "-", str(p.value)) dst.y -= p.value restore_data_outside_roi(dst, src) return dst @computation_function() def product_constant(src: SignalObj, p: ConstantParam) -> SignalObj: """Compute the product of a signal and a constant value. The function multiplies each element of the input signal by a constant value. .. note:: If the signal has a region of interest (ROI), the multiplication is performed only within the ROI. .. note:: Uncertainties are propagated. Args: src: Input signal object. p: Constant value. Returns: Result signal object representing the product of the input signal and the constant. """ assert p.value is not None # Uncertainty propagation: dst_1_to_1() copies all data including uncertainties. # For multiplication with constant: σ(c*y) = |c| * σ(y), so modification needed. dst = dst_1_to_1(src, "×", str(p.value)) dst.y *= p.value if is_uncertainty_data_available(src): dst.dy *= np.abs(p.value) # Modify in-place since dy already copied from src restore_data_outside_roi(dst, src) return dst @computation_function() def division_constant(src: SignalObj, p: ConstantParam) -> SignalObj: """Compute the division of a signal by a constant value. The function divides each element of the input signal by a constant value. .. note:: If the signal has a region of interest (ROI), the division is performed only within the ROI. .. note:: Uncertainties are propagated. Args: src: Input signal object. p: Constant value. Returns: Result signal object representing the division of the input signal by the constant. """ assert p.value is not None # Uncertainty propagation: dst_1_to_1() copies all data including uncertainties. # For division with constant: σ(y/c) = σ(y) / |c|, so modification needed. dst = dst_1_to_1(src, "/", str(p.value)) with warnings.catch_warnings(): warnings.simplefilter("ignore", category=RuntimeWarning) dst.y /= p.value dst.y[np.isinf(dst.y)] = np.nan if is_uncertainty_data_available(src): dst.dy /= np.abs(p.value) # Modify in-place since dy already copied dst.dy[np.isinf(dst.dy)] = np.nan restore_data_outside_roi(dst, src) return dst @computation_function() def arithmetic(src1: SignalObj, src2: SignalObj, p: ArithmeticParam) -> SignalObj: """Perform an arithmetic operation on two signals. The function applies the specified arithmetic operation to each element of the input signals. .. note:: The operation is performed only within the region of interest of `src1`. .. note:: Uncertainties are propagated. .. warning:: It is assumed that both signals have the same size and x-coordinates. Args: src1: First input signal. src2: Second input signal. p: Arithmetic operation parameters. Returns: Result signal object representing the arithmetic operation on the input signals. """ initial_dtype = src1.xydata.dtype title = p.operation.replace("obj1", "{0}").replace("obj2", "{1}") dst = src1.copy(title=title) a = ConstantParam.create(value=p.factor) b = ConstantParam.create(value=p.constant) if p.operator == MathOperator.ADD: dst = addition_constant(product_constant(addition([src1, src2]), a), b) elif p.operator == MathOperator.SUBTRACT: dst = addition_constant(product_constant(difference(src1, src2), a), b) elif p.operator == MathOperator.MULTIPLY: dst = addition_constant(product_constant(product([src1, src2]), a), b) elif p.operator == MathOperator.DIVIDE: dst = addition_constant(product_constant(product([src1, inverse(src2)]), a), b) # Eventually convert to initial data type if p.restore_dtype: dst.xydata = dst.xydata.astype(initial_dtype) restore_data_outside_roi(dst, src1) return dst @computation_function() def difference(src1: SignalObj, src2: SignalObj) -> SignalObj: """Compute the element-wise difference between two signals. The function subtracts each element of the second signal from the corresponding element of the first signal. .. note:: If both signals share the same region of interest (ROI), the difference is performed only within the ROI. .. note:: Uncertainties are propagated. .. warning:: It is assumed that both signals have the same size and x-coordinates. Args: src1: First input signal. src2: Second input signal. Returns: Result signal object representing the difference between the input signals. """ dst = dst_2_to_1(src1, src2, "-") dst.y = src1.y - src2.y if is_uncertainty_data_available([src1, src2]): dy_array = __signals_dy_to_array([src1, src2]) dst.dy = np.sqrt(np.sum(dy_array**2, axis=0)) restore_data_outside_roi(dst, src1) return dst @computation_function() def quadratic_difference(src1: SignalObj, src2: SignalObj) -> SignalObj: """Compute the normalized difference between two signals. The function computes the element-wise difference between the two signals and divides the result by sqrt(2.0). .. note:: If both signals share the same region of interest (ROI), the operation is performed only within the ROI. .. note:: Uncertainties are propagated. For two input signals with identical standard deviations, the standard deviation of the output signal equals the standard deviation of each of the input signals. .. warning:: It is assumed that both signals have the same size and x-coordinates. Args: src1: First input signal. src2: Second input signal. Returns: Result signal object representing the quadratic difference between the input signals. """ norm = ConstantParam.create(value=1.0 / np.sqrt(2.0)) return product_constant(difference(src1, src2), norm) @computation_function() def division(src1: SignalObj, src2: SignalObj) -> SignalObj: """Compute the element-wise division between two signals. The function divides each element of the first signal by the corresponding element of the second signal. .. note:: If both signals share the same region of interest (ROI), the division is performed only within the ROI. .. note:: Uncertainties are propagated. .. warning:: It is assumed that both signals have the same size and x-coordinates. Args: src1: First input signal. src2: Second input signal. Returns: Result signal object representing the division of the input signals. """ dst = product([src1, inverse(src2)]) return dst @computation_function() def signals_to_image(src_list: list[SignalObj], p: SignalsToImageParam) -> ImageObj: """Combine multiple signals into an image. The function takes a list of signals and combines them into a 2D image, arranging them either as rows or columns based on the specified orientation. Optionally, each signal can be normalized before combining. .. note:: All signals must have the same size (number of data points). .. note:: If normalization is enabled, each signal is normalized independently using the specified normalization method before being added to the image. Args: src_list: List of source signals to combine. p: Parameters specifying orientation and normalization options. Returns: Image object representing the combined signals. Raises: ValueError: If the signal list is empty or signals have different sizes. """ if not src_list: raise ValueError("The signal list is empty.") # Check that all signals have the same size sizes = [len(sig.y) for sig in src_list] if len(set(sizes)) > 1: raise ValueError( f"All signals must have the same size. Found sizes: {set(sizes)}" ) # Prepare data array y_array = __signals_y_to_array(src_list) # Normalize if requested if p.normalize: for i in range(len(src_list)): y_array[i] = scaling.normalize(y_array[i], p.normalize_method) # Arrange as rows or columns if p.orientation == SignalsToImageOrientation.COLUMNS: data = y_array.T else: # ROWS data = y_array # Create the result image suffix_parts = [f"n={len(src_list)}", f"orientation={p.orientation}"] if p.normalize: suffix_parts.append(f"norm={p.normalize_method}") suffix = ", ".join(suffix_parts) title = f"combined_signals|{suffix}" dst = create_image(title, data) if p.orientation == SignalsToImageOrientation.ROWS: dst.xlabel = src_list[0].ylabel else: dst.ylabel = src_list[0].ylabel dst.zlabel = src_list[0].ylabel dst.zunit = src_list[0].yunit return dst Sigima-1.1.1/sigima/proc/signal/base.py000066400000000000000000000155351514013333200177040ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """ Base signal processing functions and utilities ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ """ from __future__ import annotations from collections.abc import Callable from typing import Any import numpy as np from sigima.objects import NO_ROI, GeometryResult, KindShape, SignalObj from sigima.proc.base import dst_1_to_1 def restore_data_outside_roi(dst: SignalObj, src: SignalObj) -> None: """Restore data outside the Region Of Interest (ROI) of the input signal after a computation, only if the input signal has a ROI, and if the output signal has the same ROI as the input signal, and if the data types are the same, and if the shapes are the same. Otherwise, do nothing. Args: dst: destination signal object src: source signal object """ if src.maskdata is not None and dst.maskdata is not None: if ( np.array_equal(src.maskdata, dst.maskdata) and dst.xydata.dtype == src.xydata.dtype and dst.xydata.shape == src.xydata.shape ): dst.xydata[src.maskdata] = src.xydata[src.maskdata] def is_uncertainty_data_available(signals: SignalObj | list[SignalObj]) -> bool: """Check if all signals have uncertainty data. This functions is used to determine whether enough information is available to propagate uncertainty. Args: signals: Signal object or list of signal objects. Returns: True if all signals have uncertainty data, False otherwise. """ if isinstance(signals, SignalObj): signals = [signals] return all(sig.dy is not None for sig in signals) class Wrap1to1Func: """Wrap a 1 array → 1 array function (the simple case of y1 = f(y0)) to produce a 1 signal → 1 signal function, which can be used as a Sigima computation function and inside DataLab's infrastructure to perform computations with the Signal Processor object. This wrapping mechanism using a class is necessary for the resulted function to be pickable by the ``multiprocessing`` module. The instance of this wrapper is callable and returns a :class:`sigima.objects.SignalObj` object. Example: >>> import numpy as np >>> from sigima.proc.signal import Wrap1to1Func >>> import sigima.objects >>> def square(y): ... return y**2 >>> compute_square = Wrap1to1Func(square) >>> x = np.linspace(0, 10, 100) >>> y = np.sin(x) >>> sig0 = sigima.objects.create_signal("Example", x, y) >>> sig1 = compute_square(sig0) Args: func: 1 array → 1 array function *args: Additional positional arguments to pass to the function **kwargs: Additional keyword arguments to pass to the function .. note:: If `func_name` is provided in the keyword arguments, it will be used as the function name instead of the default name derived from the function itself. .. note:: This wrapper is suitable for functions that don't require custom uncertainty propagation. For mathematical functions with specific uncertainty formulas (sqrt, log10, exp, etc.), implement uncertainty propagation directly in the computation function. """ def __init__(self, func: Callable, *args: Any, **kwargs: Any) -> None: self.func = func self.args = args self.kwargs = kwargs self.__name__ = self.kwargs.pop("func_name", func.__name__) self.__doc__ = func.__doc__ self.__call__.__func__.__doc__ = self.func.__doc__ def __call__(self, src: SignalObj) -> SignalObj: """Compute the function on the input signal and return the result signal Args: src: input signal object Returns: Result signal object """ suffix = ", ".join( [str(arg) for arg in self.args] + [f"{k}={v}" for k, v in self.kwargs.items() if v is not None] ) dst = dst_1_to_1(src, self.__name__, suffix) x, y = src.get_data() # Apply function and propagate uncertainty unchanged dst.set_xydata(x, self.func(y, *self.args, **self.kwargs), src.dx, src.dy) restore_data_outside_roi(dst, src) return dst def compute_geometry_from_obj( title: str, shape: str | KindShape, obj: SignalObj, func: Callable, *args: Any, ) -> GeometryResult | None: """Calculate result geometry by executing a computation function on a signal object. Args: title: Result title shape: Result shape kind (e.g., "segment", "point", KindShape.MARKER) obj: Input signal object func: Computation function that takes (x, y, ``*args``) and returns coordinates *args: Additional computation function arguments Returns: Result geometry object or None if no result is found .. note:: The computation function must take x and y arrays as the first two arguments, followed by any additional arguments, and return a NumPy array containing coordinate pairs in the form ``[[x0, y0], [x1, y1], ...]``. """ rows: list[np.ndarray] = [] roi_idx: list[int] = [] for i_roi in obj.iterate_roi_indices(): x, y = obj.get_data(i_roi) if args: results: np.ndarray = func(x, y, *args) else: results: np.ndarray = func(x, y) if results is None: continue results = np.array(results, dtype=float) if results.size == 0: continue # Ensure results are in the correct 2D format if results.ndim == 1: # For segment shapes, expect 4 coordinates: [x0, y0, x1, y1] if shape in ("segment", KindShape.SEGMENT) and len(results) == 4: results = results.reshape(1, 4) elif len(results) % 2 == 0: # Reshape flat coordinate array to pairs for points/markers results = results.reshape(-1, 2) else: continue # Skip malformed results elif results.ndim != 2 or results.shape[1] < 2: continue # Skip malformed results rows.append(results) roi_idx.extend([NO_ROI if i_roi is None else int(i_roi)] * results.shape[0]) if not rows: return None coords = np.vstack(rows) # Convert shape to KindShape enum if isinstance(shape, KindShape): shape_kind = shape elif shape == "segment": shape_kind = KindShape.SEGMENT elif shape == "point": shape_kind = KindShape.POINT elif shape == "marker": shape_kind = KindShape.MARKER else: shape_kind = KindShape.POINT # Default fallback return GeometryResult( title=title, kind=shape_kind, coords=coords, roi_indices=np.array(roi_idx, dtype=int), ) Sigima-1.1.1/sigima/proc/signal/extraction.py000066400000000000000000000036111514013333200211420ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """ Signal extraction and ROI operations ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ """ from __future__ import annotations import numpy as np from sigima.objects import ROI1DParam, SignalObj from sigima.proc.base import dst_1_to_1 from sigima.proc.decorator import computation_function @computation_function() def extract_rois(src: SignalObj, params: list[ROI1DParam]) -> SignalObj: """Extract multiple regions of interest from data Args: src: source signal params: list of ROI parameters Returns: Signal with multiple regions of interest """ suffix = None if len(params) == 1: p: ROI1DParam = params[0] suffix = f"{p.xmin:.3g}≤x≤{p.xmax:.3g}" dst = dst_1_to_1(src, "extract_rois", suffix) x, y = src.get_data() xout, yout = np.ones_like(x) * np.nan, np.ones_like(y) * np.nan for p in params: idx1, idx2 = np.searchsorted(x, p.xmin), np.searchsorted(x, p.xmax) slice0 = slice(idx1, idx2) xout[slice0], yout[slice0] = x[slice0], y[slice0] nans = np.isnan(xout) | np.isnan(yout) # TODO: Handle uncertainty data dst.set_xydata(xout[~nans], yout[~nans]) # Remove ROI from destination signal: the extracted data no longer needs ROI dst.roi = None return dst @computation_function() def extract_roi(src: SignalObj, p: ROI1DParam) -> SignalObj: """Extract single region of interest from data Args: src: source signal p: ROI parameters Returns: Signal with single region of interest """ dst = dst_1_to_1(src, "extract_roi", f"{p.xmin:.3g}≤x≤{p.xmax:.3g}") x, y = p.get_data(src).copy() # TODO: Handle uncertainty data dst.set_xydata(x, y) # Remove ROI from destination signal: the extracted data no longer needs ROI dst.roi = None return dst Sigima-1.1.1/sigima/proc/signal/features.py000066400000000000000000000237371514013333200206130ustar00rootroot00000000000000# -*- coding: utf-8 -*- # # Licensed under the terms of the BSD 3-Clause # (see sigima/LICENSE for details) """ Feature extraction and analysis functions ========================================= This module provides feature extraction and analysis functions for signal objects: - Peak detection - Full Width at Half Maximum (FWHM) and related measurements - Statistical analysis - Bandwidth calculations - Dynamic parameters (ENOB, SNR, SINAD, THD, SFDR) .. note:: Most operations use functions from :mod:`sigima.tools.signal` for actual computations. """ from __future__ import annotations import guidata.dataset as gds import numpy as np import scipy.integrate as spt from sigima.config import _ from sigima.enums import PowerUnit from sigima.objects import ( GeometryResult, KindShape, SignalObj, TableKind, TableResult, TableResultBuilder, ) from sigima.proc.base import dst_1_to_1 from sigima.proc.decorator import computation_function from sigima.proc.signal.base import compute_geometry_from_obj from sigima.tools.signal import dynamic, features, peakdetection, pulse class PeakDetectionParam(gds.DataSet, title=_("Peak detection")): """Peak detection parameters""" threshold = gds.FloatItem(_("Threshold"), default=0.1, min=0.0) min_dist = gds.IntItem(_("Minimum distance"), default=1, min=1) @computation_function() def peak_detection(src: SignalObj, p: PeakDetectionParam) -> SignalObj: """Peak detection with :py:func:`sigima.tools.signal.peakdetection.peak_indices` Args: src: source signal p: parameters Returns: Result signal object """ dst = dst_1_to_1( src, "peak_detection", f"threshold={p.threshold}%, min_dist={p.min_dist}pts" ) x, y = src.get_data() indices = peakdetection.peak_indices( y, thres=p.threshold * 0.01, min_dist=p.min_dist ) dst.set_xydata(x[indices], y[indices]) dst.set_metadata_option("curvestyle", "Sticks") return dst class FWHMParam( gds.DataSet, title=_("FWHM"), comment=_( "Methods and trade-offs:

" "• Zero-crossing: Fast, sensitive to noise
" "• Gaussian fit: Good for symmetric peaks, assumes Gaussian shape
" "• Lorentzian fit: Suitable for peaks with long tails, dominated by " "collisional or lifetime broadening
" "• Voigt fit: Most accurate for spectroscopic data, or laser lines " "broadened by both Doppler and collisional effects
" ), ): """FWHM parameters""" methods = ( ("zero-crossing", _("Zero-crossing")), ("gauss", _("Gaussian fit")), ("lorentz", _("Lorentzian fit")), ("voigt", _("Voigt fit")), ) method = gds.ChoiceItem(_("Method"), methods, default="zero-crossing") xmin = gds.FloatItem( "XMIN", default=None, check=False, help=_("Lower X boundary (empty for no limit, i.e. start of the signal)"), ) xmax = gds.FloatItem( "XMAX", default=None, check=False, help=_("Upper X boundary (empty for no limit, i.e. end of the signal)"), ).set_prop("display", col=1) @computation_function() def fwhm(obj: SignalObj, param: FWHMParam) -> GeometryResult | None: """Compute FWHM with :py:func:`sigima.tools.signal.pulse.fwhm` Args: obj: source signal param: parameters Returns: Segment coordinates """ return compute_geometry_from_obj( "fwhm", KindShape.SEGMENT, obj, pulse.fwhm, param.method, param.xmin, param.xmax, ) @computation_function() def fw1e2(obj: SignalObj) -> GeometryResult | None: """Compute FW at 1/e² with :py:func:`sigima.tools.signal.pulse.fw1e2` Args: obj: source signal Returns: Segment coordinates """ return compute_geometry_from_obj("fw1e2", KindShape.SEGMENT, obj, pulse.fw1e2) # Note: we do not specify title of the dataset here because it's a generic parameter # used in multiple functions (this avoids that the same title is displayed in GUI # for different functions) class OrdinateParam(gds.DataSet): """Ordinate parameter.""" y = gds.FloatItem("y", default=0.0) @computation_function() def full_width_at_y(obj: SignalObj, p: OrdinateParam) -> GeometryResult | None: """ Compute full width at a given y value for a signal object. Args: obj: The signal object containing x and y data. p: The ordinate parameter dataset Returns: Segment coordinates """ return compute_geometry_from_obj( "∆X", KindShape.SEGMENT, obj, pulse.full_width_at_y, p.y ) @computation_function() def x_at_y(obj: SignalObj, p: OrdinateParam) -> GeometryResult | None: """ Compute the smallest x-value at a given y-value for a signal object. Args: obj: The signal object containing x and y data. p: The parameter dataset for finding the abscissa. Returns: A GeometryResult with a cross marker at the (x, y) position. """ def compute_x_at_y(x: np.ndarray, y: np.ndarray) -> np.ndarray: """Helper function to compute x at y value.""" x_values = features.find_x_values_at_y(x, y, p.y) x_result = x_values[0] if len(x_values) > 0 else np.nan return np.array([x_result, p.y]) return compute_geometry_from_obj( f"x|y={p.y}", KindShape.MARKER, obj, compute_x_at_y, ) # Note: we do not specify title of the dataset here because it's a generic parameter # used in multiple functions (this avoids that the same title is displayed in GUI # for different functions) class AbscissaParam(gds.DataSet): """Abscissa parameter.""" x = gds.FloatItem("x", default=0.0) @computation_function() def y_at_x(obj: SignalObj, p: AbscissaParam) -> GeometryResult | None: """ Compute the smallest y-value at a given x-value for a signal object. Args: obj: The signal object containing x and y data. p: The parameter dataset for finding the ordinate. Returns: A GeometryResult with a cross marker at the (x, y) position. """ def compute_y_at_x(x: np.ndarray, y: np.ndarray) -> np.ndarray: """Helper function to compute y at x value.""" y_result = features.find_y_at_x_value(x, y, p.x) return np.array([p.x, y_result]) return compute_geometry_from_obj( f"y|x={p.x}", KindShape.MARKER, obj, compute_y_at_x, ) @computation_function() def stats(obj: SignalObj) -> TableResult: """Compute statistics on a signal Args: obj: source signal Returns: Result properties object """ table = TableResultBuilder(_("Signal statistics"), kind=TableKind.STATISTICS) table.add(lambda xy: np.nanmin(xy[1]), "min") table.add(lambda xy: np.nanmax(xy[1]), "max") table.add(lambda xy: np.nanmean(xy[1]), "mean") table.add(lambda xy: np.nanmedian(xy[1]), "median") table.add(lambda xy: np.nanstd(xy[1]), "std") table.add(lambda xy: np.nanmean(xy[1]) / np.nanstd(xy[1]), "snr") table.add(lambda xy: np.nanmax(xy[1]) - np.nanmin(xy[1]), "ptp") table.add(lambda xy: np.nansum(xy[1]), "sum") table.add(lambda xy: spt.trapezoid(xy[1], xy[0]), "trapz") return table.compute(obj) @computation_function() def bandwidth_3db(obj: SignalObj) -> GeometryResult | None: """Compute bandwidth at -3 dB with :py:func:`sigima.tools.signal.misc.bandwidth` .. note:: The bandwidth is defined as the range of frequencies over which the signal maintains a certain level relative to its peak. .. warning:: The signal is assumed to be smooth enough for the bandwidth calculation to be meaningful. If the signal contains excessive noise, multiple peaks, or is not sufficiently continuous, the computed bandwidth may not accurately represent the true -3dB range. It is recommended to preprocess the signal to ensure reliable results. Args: obj: Source signal. Returns: Result shape with bandwidth. """ return compute_geometry_from_obj( "bandwidth", KindShape.SEGMENT, obj, features.find_bandwidth_coordinates, -3.0 ) class DynamicParam(gds.DataSet, title=_("Dynamic parameters")): """Parameters for dynamic range computation (ENOB, SNR, SINAD, THD, SFDR)""" full_scale = gds.FloatItem(_("Full scale"), default=0.16, min=0.0, unit="V") unit = gds.ChoiceItem( _("Unit"), [(PowerUnit.DBC, "dBc"), (PowerUnit.DBFS, "dBFS")], default=PowerUnit.DBC, help=_("Unit for SINAD"), ) nb_harm = gds.IntItem( _("Number of harmonics"), default=5, min=1, help=_("Number of harmonics to consider for THD"), ) @computation_function() def dynamic_parameters(src: SignalObj, p: DynamicParam) -> TableResult: """Compute Dynamic parameters using the following functions: - Freq: :py:func:`sigima.tools.signal.dynamic.sinus_frequency` - ENOB: :py:func:`sigima.tools.signal.dynamic.enob` - SNR: :py:func:`sigima.tools.signal.dynamic.snr` - SINAD: :py:func:`sigima.tools.signal.dynamic.sinad` - THD: :py:func:`sigima.tools.signal.dynamic.thd` - SFDR: :py:func:`sigima.tools.signal.dynamic.sfdr` Args: src: source signal p: parameters Returns: Result properties with ENOB, SNR, SINAD, THD, SFDR """ unit: PowerUnit = p.unit table = TableResultBuilder(_("Dynamic parameters")) table.add(lambda xy: dynamic.sinus_frequency(xy[0], xy[1]), "freq") table.add(lambda xy: dynamic.enob(xy[0], xy[1], p.full_scale), "enob") table.add(lambda xy: dynamic.snr(xy[0], xy[1], unit), "snr") table.add(lambda xy: dynamic.sinad(xy[0], xy[1], unit), "sinad") table.add( lambda xy: dynamic.thd(xy[0], xy[1], p.full_scale, unit, p.nb_harm), "thd" ) table.add(lambda xy: dynamic.sfdr(xy[0], xy[1], p.full_scale, unit), "sfdr") return table.compute(src) Sigima-1.1.1/sigima/proc/signal/filtering.py000066400000000000000000000344701514013333200207540ustar00rootroot00000000000000# -*- coding: utf-8 -*- # # Licensed under the terms of the BSD 3-Clause # (see sigima/LICENSE for details) """ Filtering processing functions for signal objects ================================================= This module provides filtering operations for signal objects: - Gaussian filter - Moving average and median filters - Wiener filter - Frequency filters (low-pass, high-pass, band-pass, band-stop) - Noise addition functions .. note:: Uses zero-phase filtering when possible for better phase response. """ from __future__ import annotations import warnings from typing import Callable import guidata.dataset as gds import numpy as np import scipy.ndimage as spi import scipy.signal as sps from sigima.config import _ from sigima.enums import FilterType, FrequencyFilterMethod, PadLocation1D from sigima.objects import ( NormalDistribution1DParam, PoissonDistribution1DParam, SignalObj, UniformDistribution1DParam, create_signal_from_param, ) from sigima.objects.base import ( NormalDistributionParam, PoissonDistributionParam, UniformDistributionParam, ) from sigima.proc.base import GaussianParam, MovingAverageParam, MovingMedianParam from sigima.proc.decorator import computation_function from sigima.proc.signal.arithmetic import addition from sigima.proc.signal.base import Wrap1to1Func, dst_1_to_1, restore_data_outside_roi from sigima.proc.signal.fourier import ZeroPadding1DParam, zero_padding from sigima.tools.signal import fourier @computation_function() def gaussian_filter(src: SignalObj, p: GaussianParam) -> SignalObj: """Compute gaussian filter with :py:func:`scipy.ndimage.gaussian_filter` Args: src: source signal p: parameters Returns: Result signal object """ return Wrap1to1Func(spi.gaussian_filter, sigma=p.sigma)(src) @computation_function() def moving_average(src: SignalObj, p: MovingAverageParam) -> SignalObj: """Compute moving average with :py:func:`scipy.ndimage.uniform_filter` Args: src: source signal p: parameters Returns: Result signal object """ return Wrap1to1Func( spi.uniform_filter, size=p.n, mode=p.mode, func_name="moving_average" )(src) @computation_function() def moving_median(src: SignalObj, p: MovingMedianParam) -> SignalObj: """Compute moving median with :py:func:`scipy.ndimage.median_filter` Args: src: source signal p: parameters Returns: Result signal object """ return Wrap1to1Func( spi.median_filter, size=p.n, mode=p.mode, func_name="moving_median" )(src) @computation_function() def wiener(src: SignalObj) -> SignalObj: """Compute Wiener filter with :py:func:`scipy.signal.wiener` Args: src: source signal Returns: Result signal object """ return Wrap1to1Func(sps.wiener)(src) def get_nyquist_frequency(obj: SignalObj) -> float: """Return the Nyquist frequency of a signal object Args: obj: signal object Returns: Nyquist frequency """ fs = float(obj.x.size - 1) / (obj.x[-1] - obj.x[0]) return fs / 2.0 class BaseHighLowBandParam(gds.DataSet, title=_("Filter")): """Base class for high-pass, low-pass, band-pass and band-stop filters""" TYPE = FilterType.LOWPASS _type_prop = gds.GetAttrProp("TYPE") # Must be overwriten by the child class _method_prop = gds.GetAttrProp("method") method = gds.ChoiceItem( _("Filter method"), [ (FrequencyFilterMethod.BUTTERWORTH, "Butterworth"), (FrequencyFilterMethod.BESSEL, "Bessel"), (FrequencyFilterMethod.CHEBYSHEV1, "Chebyshev I"), (FrequencyFilterMethod.CHEBYSHEV2, "Chebyshev II"), (FrequencyFilterMethod.ELLIPTIC, "Elliptic"), (FrequencyFilterMethod.BRICKWALL, "Brickwall"), ], ).set_prop("display", store=_method_prop) def get_filter_func(self) -> Callable: """Get the scipy filter function corresponding to the method.""" filter_funcs = { FrequencyFilterMethod.BESSEL: sps.bessel, FrequencyFilterMethod.BUTTERWORTH: sps.butter, FrequencyFilterMethod.CHEBYSHEV1: sps.cheby1, FrequencyFilterMethod.CHEBYSHEV2: sps.cheby2, FrequencyFilterMethod.ELLIPTIC: sps.ellip, } return filter_funcs.get(self.method) order = gds.IntItem(_("Filter order"), default=3, min=1).set_prop( "display", active=gds.FuncProp( _method_prop, lambda x: x != FrequencyFilterMethod.BRICKWALL ), ) cut0 = gds.FloatItem( _("Low cutoff frequency"), min=0.0, nonzero=True, unit="Hz", allow_none=True ) cut1 = gds.FloatItem( _("High cutoff frequency"), min=0.0, nonzero=True, unit="Hz", allow_none=True ).set_prop( "display", hide=gds.FuncProp( _type_prop, lambda x: x in (FilterType.LOWPASS, FilterType.HIGHPASS) ), ) rp = gds.FloatItem( _("Passband ripple"), min=0.0, default=1.0, nonzero=True, unit="dB" ).set_prop( "display", active=gds.FuncProp( _method_prop, lambda x: x in (FrequencyFilterMethod.CHEBYSHEV1, FrequencyFilterMethod.ELLIPTIC), ), ) rs = gds.FloatItem( _("Stopband attenuation"), min=0.0, default=60.0, nonzero=True, unit="dB" ).set_prop( "display", active=gds.FuncProp( _method_prop, lambda x: x in (FrequencyFilterMethod.CHEBYSHEV2, FrequencyFilterMethod.ELLIPTIC), ), ) _zp_prop = gds.GetAttrProp("zero_padding") zero_padding = gds.BoolItem( _("Zero padding"), default=True, ).set_prop( "display", active=gds.FuncProp( _method_prop, lambda x: x == FrequencyFilterMethod.BRICKWALL ), store=_zp_prop, ) nfft = gds.IntItem( _("Minimum FFT points number"), default=0, ).set_prop( "display", active=gds.FuncPropMulti( [_method_prop, _zp_prop], lambda x, y: x == FrequencyFilterMethod.BRICKWALL and y, ), ) def update_from_obj(self, obj: SignalObj) -> None: """Update the filter parameters from a signal object Args: obj: signal object """ f_nyquist = get_nyquist_frequency(obj) if self.cut0 is None: if self.TYPE == FilterType.LOWPASS: self.cut0 = 0.1 * f_nyquist elif self.TYPE == FilterType.HIGHPASS: self.cut0 = 0.9 * f_nyquist elif self.TYPE == FilterType.BANDPASS: self.cut0 = 0.1 * f_nyquist self.cut1 = 0.9 * f_nyquist elif self.TYPE == FilterType.BANDSTOP: self.cut0 = 0.4 * f_nyquist self.cut1 = 0.6 * f_nyquist def get_filter_params(self, obj: SignalObj) -> tuple[float | str, float | str]: """Return the filter parameters (a and b) as a tuple. These parameters are used in the scipy.signal filter functions (eg. `scipy.signal.filtfilt`). Args: obj: signal object Returns: tuple: filter parameters """ f_nyquist = get_nyquist_frequency(obj) args: list[float | str | tuple[float, ...]] = [self.order] # type: ignore if self.method == FrequencyFilterMethod.CHEBYSHEV1: args += [self.rp] elif self.method == FrequencyFilterMethod.CHEBYSHEV2: args += [self.rs] elif self.method == FrequencyFilterMethod.ELLIPTIC: args += [self.rp, self.rs] if self.TYPE in (FilterType.HIGHPASS, FilterType.LOWPASS): args += [self.cut0 / f_nyquist] else: args += [[self.cut0 / f_nyquist, self.cut1 / f_nyquist]] args += [self.TYPE.value] return self.get_filter_func()(*args) class LowPassFilterParam(BaseHighLowBandParam): """Low-pass filter parameters""" TYPE = FilterType.LOWPASS # Redefine cut0 just to change its label (instead of "Low cutoff frequency") cut0 = gds.FloatItem( _("Cutoff frequency"), min=0, nonzero=True, unit="Hz", allow_none=True ) class HighPassFilterParam(BaseHighLowBandParam): """High-pass filter parameters""" TYPE = FilterType.HIGHPASS # Redefine cut0 just to change its label (instead of "High cutoff frequency") cut0 = gds.FloatItem( _("Cutoff frequency"), min=0, nonzero=True, unit="Hz", allow_none=True ) class BandPassFilterParam(BaseHighLowBandParam): """Band-pass filter parameters""" TYPE = FilterType.BANDPASS class BandStopFilterParam(BaseHighLowBandParam): """Band-stop filter parameters""" TYPE = FilterType.BANDSTOP def frequency_filter(src: SignalObj, p: BaseHighLowBandParam) -> SignalObj: """Compute frequency filter (low-pass, high-pass, band-pass, band-stop), with :py:func:`scipy.signal.filtfilt` Args: src: source signal p: parameters Returns: Result signal object .. note:: Uses zero-phase filtering (`filtfilt`) when possible for better phase response. If numerical instability occurs (e.g., singular matrix errors), automatically falls back to forward filtering (`lfilter`) with a warning. This ensures cross-platform compatibility while maintaining optimal filtering when possible. """ name = f"{p.TYPE.value}" suffix = "" if p.method != FrequencyFilterMethod.BRICKWALL: suffix = f"order={p.order:d}, " if p.TYPE in (FilterType.LOWPASS, FilterType.HIGHPASS): suffix += f"cutoff={p.cut0:.2f}" else: suffix += f"cutoff={p.cut0:.2f}:{p.cut1:.2f}" dst = dst_1_to_1(src, name, suffix) if p.method == FrequencyFilterMethod.BRICKWALL: original_size = src.y.size src_padded = src.copy() if p.zero_padding and p.nfft is not None: size_padded = ZeroPadding1DParam.next_power_of_two(max(p.nfft, src.y.size)) n_to_add = size_padded - src.y.size if n_to_add > 0: src_padded = zero_padding( src_padded, ZeroPadding1DParam.create( location=PadLocation1D.APPEND, strategy="custom", n=n_to_add, ), ) x_padded, y_padded = src_padded.get_data() x, y = fourier.brickwall_filter( x_padded, y_padded, p.TYPE.value, p.cut0, p.cut1 ) # Trim back to original size if padding was applied x = x[:original_size] y = y[:original_size] dst.set_xydata(x, y) else: b, a = p.get_filter_params(dst) try: # Prefer zero-phase filtering dst.y = sps.filtfilt(b, a, dst.y) except np.linalg.LinAlgError: # Fallback to forward filtering if filtfilt fails due to numerical issues warnings.warn( "Zero-phase filtering failed due to numerical instability. " "Using forward filtering instead.", UserWarning, stacklevel=2, ) dst.y = sps.lfilter(b, a, dst.y) restore_data_outside_roi(dst, src) return dst @computation_function() def lowpass(src: SignalObj, p: LowPassFilterParam) -> SignalObj: """Compute low-pass filter with :py:func:`scipy.signal.filtfilt` Args: src: source signal p: parameters Returns: Result signal object """ return frequency_filter(src, p) @computation_function() def highpass(src: SignalObj, p: HighPassFilterParam) -> SignalObj: """Compute high-pass filter with :py:func:`scipy.signal.filtfilt` Args: src: source signal p: parameters Returns: Result signal object """ return frequency_filter(src, p) @computation_function() def bandpass(src: SignalObj, p: BandPassFilterParam) -> SignalObj: """Compute band-pass filter with :py:func:`scipy.signal.filtfilt` Args: src: source signal p: parameters Returns: Result signal object """ return frequency_filter(src, p) @computation_function() def bandstop(src: SignalObj, p: BandStopFilterParam) -> SignalObj: """Compute band-stop filter with :py:func:`scipy.signal.filtfilt` Args: src: source signal p: parameters Returns: Result signal object """ return frequency_filter(src, p) # Noise addition functions @computation_function() def add_gaussian_noise(src: SignalObj, p: NormalDistributionParam) -> SignalObj: """Add normal noise to the input signal. Args: src: Source signal. p: Parameters. Returns: Result signal object. """ param = NormalDistribution1DParam() # Do not confuse with NormalDistributionParam gds.update_dataset(param, p) param.xmin = src.x[0] param.xmax = src.x[-1] param.size = src.x.size noise = create_signal_from_param(param) dst = dst_1_to_1(src, "add_gaussian_noise", f"µ={p.mu}, σ={p.sigma}") dst.xydata = addition([src, noise]).xydata return dst @computation_function() def add_poisson_noise(src: SignalObj, p: PoissonDistributionParam) -> SignalObj: """Add Poisson noise to the input signal. Args: src: Source signal. p: Parameters. Returns: Result signal object. """ param = PoissonDistribution1DParam() # Do not confuse with PoissonDistributionParam gds.update_dataset(param, p) param.xmin = src.x[0] param.xmax = src.x[-1] param.size = src.x.size noise = create_signal_from_param(param) dst = dst_1_to_1(src, "add_poisson_noise", f"λ={p.lam}") dst.xydata = addition([src, noise]).xydata return dst @computation_function() def add_uniform_noise(src: SignalObj, p: UniformDistributionParam) -> SignalObj: """Add uniform noise to the input signal. Args: src: Source signal. p: Parameters. Returns: Result signal object. """ param = UniformDistribution1DParam() # Do not confuse with UniformDistributionParam gds.update_dataset(param, p) param.xmin = src.x[0] param.xmax = src.x[-1] param.size = src.x.size noise = create_signal_from_param(param) dst = dst_1_to_1(src, "add_uniform_noise", f"low={p.vmin}, high={p.vmax}") dst.xydata = addition([src, noise]).xydata return dst Sigima-1.1.1/sigima/proc/signal/fitting.py000066400000000000000000000152701514013333200204320ustar00rootroot00000000000000# -*- coding: utf-8 -*- # # Licensed under the terms of the BSD 3-Clause # (see sigima/LICENSE for details) """ Curve fitting operations ======================== This module provides curve fitting operations for signal objects: - Linear and polynomial fits - Gaussian, Lorentzian, and Voigt fits - Exponential and CDF fits .. note:: Most operations use functions from :mod:`sigima.tools.signal.fitting` for actual computations. """ from __future__ import annotations from typing import Callable import guidata.dataset as gds import numpy as np from sigima.config import _ from sigima.objects import SignalObj from sigima.proc.base import dst_2_to_1 from sigima.proc.decorator import computation_function from sigima.tools.signal import fitting from .base import dst_1_to_1 def __generic_fit( src: SignalObj, fitfunc: Callable[[np.ndarray, np.ndarray], tuple[np.ndarray, dict[str, float]]], ) -> SignalObj: """Generic fitting function. Args: src: source signal fitfunc: fitting function Returns: Fitting result signal object """ dst = dst_1_to_1(src, fitfunc.__name__) # Fit only on ROI if available x_roi = src.x[~src.get_masked_view().mask] y_roi = src.get_masked_view().compressed() _fitted_y_roi, fit_params = fitfunc(x_roi, y_roi) # Evaluate fit on full x range fitted_y = fitting.evaluate_fit(src.x, **fit_params) dst.set_xydata(src.x, fitted_y) # Store fit parameters in metadata dst.metadata["fit_params"] = fit_params return dst @computation_function() def linear_fit(src: SignalObj) -> SignalObj: """Compute linear fit with :py:func:`numpy.polyfit` Args: src: source signal Returns: Result signal object """ return __generic_fit(src, fitting.linear_fit) class PolynomialFitParam(gds.DataSet, title=_("Polynomial fit")): """Polynomial fitting parameters""" degree = gds.IntItem(_("Degree"), 3, min=1, max=10, slider=True) @computation_function() def polynomial_fit(src: SignalObj, p: PolynomialFitParam) -> SignalObj: """Compute polynomial fit with :py:func:`numpy.polyfit` Args: src: source signal p: polynomial fitting parameters Returns: Result signal object """ # Note: no need to check degree here as gds.IntItem already enforces min=1 return __generic_fit(src, lambda x, y: fitting.polynomial_fit(x, y, p.degree)) @computation_function() def gaussian_fit(src: SignalObj) -> SignalObj: """Compute Gaussian fit with :py:func:`scipy.optimize.curve_fit` Args: src: source signal Returns: Result signal object """ return __generic_fit(src, fitting.gaussian_fit) @computation_function() def lorentzian_fit(src: SignalObj) -> SignalObj: """Compute Lorentzian fit with :py:func:`scipy.optimize.curve_fit` Args: src: source signal Returns: Result signal object """ return __generic_fit(src, fitting.lorentzian_fit) @computation_function() def voigt_fit(src: SignalObj) -> SignalObj: """Compute Voigt fit with :py:func:`scipy.optimize.curve_fit` Args: src: source signal Returns: Result signal object """ return __generic_fit(src, fitting.voigt_fit) @computation_function() def exponential_fit(src: SignalObj) -> SignalObj: """Compute exponential fit with :py:func:`scipy.optimize.curve_fit` Args: src: source signal Returns: Result signal object """ return __generic_fit(src, fitting.exponential_fit) @computation_function() def cdf_fit(src: SignalObj) -> SignalObj: """Compute CDF fit with :py:func:`scipy.optimize.curve_fit` Args: src: source signal Returns: Result signal object """ return __generic_fit(src, fitting.cdf_fit) @computation_function() def planckian_fit(src: SignalObj) -> SignalObj: """Compute Planckian fit with :py:func:`scipy.optimize.curve_fit` Args: src: source signal Returns: Result signal object """ return __generic_fit(src, fitting.planckian_fit) @computation_function() def twohalfgaussian_fit(src: SignalObj) -> SignalObj: """Compute two-half-Gaussian fit with :py:func:`scipy.optimize.curve_fit` Args: src: source signal Returns: Result signal object """ return __generic_fit(src, fitting.twohalfgaussian_fit) @computation_function() def sigmoid_fit(src: SignalObj) -> SignalObj: """Compute sigmoid fit with :py:func:`scipy.optimize.curve_fit` Args: src: source signal Returns: Result signal object """ return __generic_fit(src, fitting.sigmoid_fit) @computation_function() def piecewiseexponential_fit(src: SignalObj) -> SignalObj: """Compute piecewise exponential fit (raise-decay) with :py:func:`scipy.optimize.curve_fit` Args: src: source signal Returns: Result signal object """ return __generic_fit(src, fitting.piecewiseexponential_fit) @computation_function() def sinusoidal_fit(src: SignalObj) -> SignalObj: """Compute sinusoidal fit with :py:func:`scipy.optimize.curve_fit` Args: src: source signal Returns: Result signal object """ return __generic_fit(src, fitting.sinusoidal_fit) def extract_fit_params(signal: SignalObj) -> dict[str, float | str]: """Extract fit parameters from a fitted signal. Args: signal: Signal object containing fit metadata Returns: Fit parameters """ if "fit_params" not in signal.metadata: raise ValueError("Signal does not contain fit parameters") fit_params_dict: dict[str, float | str] = signal.metadata["fit_params"] assert "fit_type" in fit_params_dict, "No valid fit parameters found" return fit_params_dict @computation_function() def evaluate_fit(src1: SignalObj, src2: SignalObj) -> SignalObj: """Evaluate fit function from src1 on the x-axis of src2. This function extracts fit parameters from `src1` (which must contain fit metadata from a previous fitting operation) and evaluates the fit function on the x-axis of `src2`. Args: src1: Signal object containing fit parameters in metadata (from a fit operation) src2: Signal object whose x-axis will be used for evaluation Returns: New signal with the fit evaluated on src2's x-axis """ fit_params = extract_fit_params(src1) dst = dst_2_to_1(src1, src2, "evaluate_fit") # Evaluate fit on src2's x-axis x = src2.x y = fitting.evaluate_fit(x, **fit_params) dst.set_xydata(x, y) dst.title = f"Fitted {fit_params['fit_type']}" # Copy fit parameters to destination metadata dst.metadata["fit_params"] = fit_params return dst Sigima-1.1.1/sigima/proc/signal/fourier.py000066400000000000000000000217461514013333200204460ustar00rootroot00000000000000# -*- coding: utf-8 -*- # # Licensed under the terms of the BSD 3-Clause # (see sigima/LICENSE for details) """ Fourier transform and frequency domain operations ================================================= This module provides Fourier transform and frequency domain operations: - FFT and inverse FFT - Magnitude and phase spectrum - Power spectral density (PSD) .. note:: Most operations use functions from :mod:`sigima.tools.signal.fourier` for actual computations. """ from __future__ import annotations from math import ceil, log2 import guidata.dataset as gds from sigima.config import _ from sigima.enums import PadLocation1D from sigima.objects import SignalObj from sigima.proc.base import FFTParam, SpectrumParam from sigima.proc.decorator import computation_function from sigima.proc.signal.base import dst_1_to_1 from sigima.tools.signal import fourier class ZeroPadding1DParam(gds.DataSet, title=_("Zero padding")): """Zero-padding parameters for signals. This class manages parameters for applying zero-padding to signals, commonly used to improve FFT resolution or prepare signals for convolution. .. important:: For strategies other than "custom", the number of points to add (``n``) is **automatically calculated** based on the signal size. However, this calculation requires knowledge of the signal, so you **must call** :meth:`update_from_obj` before using the parameters. Example usage: .. code-block:: python import sigima.params import sigima.proc.signal as sips # Create the parameter object param = sigima.params.ZeroPadding1DParam.create(strategy="next_pow2") # IMPORTANT: Update parameters from the signal to compute 'n' param.update_from_obj(signal) # Now the parameters are ready to use result = sips.zero_padding(signal, param) Attributes: - strategies: Available strategies ("next_pow2", "double", "triple", "custom"). - strategy: Choice item for selecting the zero-padding strategy. - ``"next_pow2"``: Pad to the next power of 2 (optimal for FFT) - ``"double"``: Double the signal length - ``"triple"``: Triple the signal length - ``"custom"``: Use a user-specified number of points - location: Where to add the padding ("append", "prepend", or "both"). - n: Number of points to add as padding. For "custom" strategy, this is user-specified. For other strategies, it is computed automatically by :meth:`update_from_obj`. """ def __init__(self, *args, **kwargs) -> None: """Initialize zero padding parameters. Args: *args: Variable length argument list passed to the superclass. **kwargs: Arbitrary keyword arguments passed to the superclass. """ super().__init__(*args, **kwargs) self.__obj: SignalObj | None = None def update_from_obj(self, obj: SignalObj) -> None: """Update parameters based on a signal object. This method computes the number of padding points (``n``) based on the selected strategy and the actual signal size. **This must be called before using the parameters** for strategies other than "custom". Args: obj: Signal object from which to compute the padding parameters. """ self.__obj = obj self.strategy_callback(None, self.strategy) @staticmethod def next_power_of_two(size: int) -> int: """Compute the next power of two greater than or equal to the given size. Args: size: The input integer. Returns: The smallest power of two greater than or equal to 'size'. """ return 2 ** (ceil(log2(size))) def strategy_callback(self, _, value): """Callback for strategy choice item. Args: _: Unused argument (in this context). value: The selected strategy value. """ if self.__obj is None: return assert self.__obj.x is not None size = self.__obj.x.size if value == "next_pow2": self.n = self.next_power_of_two(size) - size elif value == "double": self.n = size elif value == "triple": self.n = 2 * size strategies = ("next_pow2", "double", "triple", "custom") _prop = gds.GetAttrProp("strategy") strategy = gds.ChoiceItem( _("Strategy"), zip(strategies, strategies), default=strategies[0] ).set_prop("display", store=_prop, callback=strategy_callback) location = gds.ChoiceItem( _("Location"), PadLocation1D, default=PadLocation1D.APPEND, help=_("Where to add the padding"), ) _func_prop = gds.FuncProp(_prop, lambda x: x == "custom") n = gds.IntItem( _("Number of points"), min=1, default=1, help=_("Number of points to add") ).set_prop("display", active=_func_prop) @computation_function() def zero_padding(src: SignalObj, p: ZeroPadding1DParam) -> SignalObj: """Compute zero padding with :py:func:`sigima.tools.signal.fourier.zero_padding`. Args: src: Source signal. p: Parameters. Returns: Result signal object. """ if p.strategy == "custom": suffix = f"n={p.n}" else: suffix = f"strategy={p.strategy}" assert p.n is not None if p.location == PadLocation1D.APPEND: n_prepend = 0 n_append = p.n elif p.location == PadLocation1D.PREPEND: n_prepend = p.n n_append = 0 else: # At this point, we must have BOTH (last option) assert p.location == PadLocation1D.BOTH n_prepend = p.n // 2 n_append = p.n - n_prepend dst = dst_1_to_1(src, "zero_padding", suffix) x, y = src.get_data() x_padded, y_padded = fourier.zero_padding(x, y, n_prepend, n_append) dst.set_xydata(x_padded, y_padded) return dst @computation_function() def fft(src: SignalObj, p: FFTParam | None = None) -> SignalObj: """Compute FFT with :py:func:`sigima.tools.signal.fourier.fft1d`. Args: src: Source signal. p: Parameters. Returns: Result signal object. """ if p is None: p = FFTParam() dst = dst_1_to_1(src, "fft") x, y = src.get_data() fft_x, fft_y = fourier.fft1d(x, y, shift=p.shift) dst.set_xydata(fft_x, fft_y) dst.save_attr_to_metadata("xunit", "Hz" if dst.xunit == "s" else "") dst.save_attr_to_metadata("yunit", "") dst.save_attr_to_metadata("xlabel", _("Frequency")) return dst @computation_function() def ifft(src: SignalObj) -> SignalObj: """Compute the inverse FFT with :py:func:`sigima.tools.signal.fourier.ifft1d`. Args: src: Source signal. Returns: Result signal object. """ dst = dst_1_to_1(src, "ifft") f, sp = src.get_data() x, y = fourier.ifft1d(f, sp) dst.set_xydata(x, y) dst.restore_attr_from_metadata("xunit", "s" if src.xunit == "Hz" else "") dst.restore_attr_from_metadata("yunit", "") dst.restore_attr_from_metadata("xlabel", "") return dst @computation_function() def magnitude_spectrum(src: SignalObj, p: SpectrumParam | None = None) -> SignalObj: """Compute magnitude spectrum. This function computes the magnitude spectrum of a signal using :py:func:`sigima.tools.signal.fourier.magnitude_spectrum`. Args: src: Source signal. p: Parameters. Returns: Result signal object. """ decibel = bool(p is not None and p.decibel) dst = dst_1_to_1(src, "magnitude_spectrum", f"dB={decibel}") x, y = src.get_data() mag_x, mag_y = fourier.magnitude_spectrum(x, y, decibel=decibel) dst.set_xydata(mag_x, mag_y) dst.xlabel = _("Frequency") dst.xunit = "Hz" if dst.xunit == "s" else "" dst.yunit = "dB" if decibel else "" return dst @computation_function() def phase_spectrum(src: SignalObj) -> SignalObj: """Compute phase spectrum. This function computes the phase spectrum of a signal using :py:func:`sigima.tools.signal.fourier.phase_spectrum` Args: src: Source signal. Returns: Result signal object. """ dst = dst_1_to_1(src, "phase_spectrum") x, y = src.get_data() phase_x, phase_y = fourier.phase_spectrum(x, y) dst.set_xydata(phase_x, phase_y) dst.xlabel = _("Frequency") dst.xunit = "Hz" if dst.xunit == "s" else "" dst.yunit = "" return dst @computation_function() def psd(src: SignalObj, p: SpectrumParam | None = None) -> SignalObj: """Compute power spectral density with :py:func:`sigima.tools.signal.fourier.psd`. Args: src: Source signal. p: Parameters. Returns: Result signal object. """ decibel = p is not None and p.decibel dst = dst_1_to_1(src, "psd", f"dB={decibel}") x, y = src.get_data() psd_x, psd_y = fourier.psd(x, y, decibel=decibel) dst.set_xydata(psd_x, psd_y) dst.xlabel = _("Frequency") dst.xunit = "Hz" if dst.xunit == "s" else "" dst.yunit = "dB/Hz" if decibel else "" return dst Sigima-1.1.1/sigima/proc/signal/mathops.py000066400000000000000000000257201514013333200204420ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """ Mathematical operations on signals ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ """ from __future__ import annotations import warnings import guidata.dataset as gds import numpy as np from sigima.config import _ from sigima.enums import AngleUnit from sigima.objects import SignalObj from sigima.proc.base import AngleUnitParam, PhaseParam, dst_1_to_1, dst_2_to_1 from sigima.proc.decorator import computation_function from sigima.proc.signal.base import ( Wrap1to1Func, is_uncertainty_data_available, restore_data_outside_roi, ) from sigima.tools import coordinates @computation_function() def transpose(src: SignalObj) -> SignalObj: """Transpose signal (swap X and Y axes). Args: src: Source signal. Returns: Result signal object. """ dst = dst_1_to_1(src, "transpose") x, y = src.get_data() dst.set_xydata(y, x, src.dy, src.dx) dst.xlabel = src.ylabel dst.ylabel = src.xlabel dst.xunit = src.yunit dst.yunit = src.xunit return dst @computation_function() def inverse(src: SignalObj) -> SignalObj: """Compute the element-wise inverse of a signal. The function computes the reciprocal (1/y) of each element of the input signal. .. note:: If the signal has a region of interest (ROI), the inverse is performed only within the ROI. .. note:: Uncertainties are propagated. Args: src: Input signal object. Returns: Result signal object representing the inverse of the input signal. """ dst = dst_1_to_1(src, "invert") x, y = src.get_data() with warnings.catch_warnings(): warnings.simplefilter("ignore", category=RuntimeWarning) dst.set_xydata(x, np.reciprocal(y)) dst.y[np.isinf(dst.y)] = np.nan if is_uncertainty_data_available(src): err = np.abs(dst.y) * (src.dy / np.abs(src.y)) err[np.isinf(err)] = np.nan dst.dy = err restore_data_outside_roi(dst, src) return dst @computation_function() def absolute(src: SignalObj) -> SignalObj: """Compute absolute value with :py:data:`numpy.absolute` Args: src: source signal Returns: Result signal object """ return Wrap1to1Func(np.absolute)(src) @computation_function() def real(src: SignalObj) -> SignalObj: """Compute real part with :py:func:`numpy.real` Args: src: source signal Returns: Result signal object """ return Wrap1to1Func(np.real)(src) @computation_function() def imag(src: SignalObj) -> SignalObj: """Compute imaginary part with :py:func:`numpy.imag` Args: src: source signal Returns: Result signal object """ return Wrap1to1Func(np.imag)(src) @computation_function() def phase(src: SignalObj, p: PhaseParam) -> SignalObj: """Compute the phase (argument) of a complex signal. The function uses :py:func:`numpy.angle` to compute the argument and :py:func:`numpy.unwrap` to unwrap it. Args: src: Input signal object. p: Phase parameters. Returns: Signal object containing the phase, optionally unwrapped. """ suffix = "unwrap" if p.unwrap else "" dst = dst_1_to_1(src, "phase", suffix) x, y = src.get_data() argument = np.angle(y) if p.unwrap: argument = np.unwrap(argument) if p.unit == AngleUnit.DEGREE: argument = np.rad2deg(argument) dst.set_xydata(x, argument, src.dx, None) dst.yunit = p.unit restore_data_outside_roi(dst, src) return dst @computation_function() def complex_from_real_imag(src1: SignalObj, src2: SignalObj) -> SignalObj: """Combine two real signals into a complex signal using real + i * imag. .. warning:: The x coordinates of the two signals must be the same. Args: src1: Real part signal. src2: Imaginary part signal. Returns: Result signal object with complex-valued y. """ if not np.array_equal(src1.x, src2.x): warnings.warn( "The x coordinates of the two signals are not the same. " "Results may be incorrect." ) dst = dst_2_to_1(src1, src2, "real_imag") y = src1.y + 1j * src2.y dst.set_xydata(src1.x, y, src1.dx, None) return dst @computation_function() def complex_from_magnitude_phase( src1: SignalObj, src2: SignalObj, p: AngleUnitParam ) -> SignalObj: """Combine magnitude and phase signals into a complex signal. .. warning:: The x coordinates of the two signals must be the same. .. warning:: Negative values are not allowed for the radius and will be clipped to 0. Args: src1: Magnitude (module) signal. src2: Phase (argument) signal. p: Parameters (must provide unit for the phase). Returns: Result signal object with complex-valued y. """ if not np.array_equal(src1.x, src2.x): warnings.warn( "The x coordinates of the two signals are not the same. " "Results may be incorrect." ) if np.any(src1.y < 0.0): warnings.warn("Negative radius values are not allowed. They will be set to 0.") src1.y = np.maximum(src1.y, 0.0) dst = dst_2_to_1(src1, src2, "mag_phase") assert p.unit is not None y = coordinates.polar_to_complex(src1.y, src2.y, unit=p.unit) dst.set_xydata(src1.x, y, src1.x, None) return dst class DataTypeSParam(gds.DataSet, title=_("Convert data type")): """Convert signal data type parameters""" dtype_str = gds.ChoiceItem( _("Destination data type"), list(zip(SignalObj.get_valid_dtypenames(), SignalObj.get_valid_dtypenames())), help=_("Output image data type."), ) @computation_function() def astype(src: SignalObj, p: DataTypeSParam) -> SignalObj: """Convert data type with :py:func:`numpy.astype` Args: src: source signal p: parameters Returns: Result signal object """ dst = dst_1_to_1(src, "astype", f"dtype={p.dtype_str}") dst.xydata = src.xydata.astype(p.dtype_str) return dst @computation_function() def log10(src: SignalObj) -> SignalObj: """Compute Log10 with :py:data:`numpy.log10` Args: src: source signal Returns: Result signal object """ dst = dst_1_to_1(src, "log10") x, y = src.get_data() # Compute result result_y = np.log10(y) dst.set_xydata(x, result_y, src.dx, src.dy) # Uncertainty propagation: σ(log₁₀(y)) = σ(y) / (y * ln(10)) if is_uncertainty_data_available(src): with warnings.catch_warnings(): warnings.simplefilter("ignore", category=RuntimeWarning) dst.dy = src.dy / (y * np.log(10)) dst.dy[np.isinf(dst.dy) | np.isnan(dst.dy)] = np.nan restore_data_outside_roi(dst, src) return dst @computation_function() def exp(src: SignalObj) -> SignalObj: """Compute exponential with :py:data:`numpy.exp` Args: src: source signal Returns: Result signal object """ dst = dst_1_to_1(src, "exp") x, y = src.get_data() # Compute result result_y = np.exp(y) dst.set_xydata(x, result_y, src.dx, src.dy) # Uncertainty propagation: σ(eʸ) = eʸ * σ(y) if is_uncertainty_data_available(src): dst.dy = np.abs(result_y) * src.dy restore_data_outside_roi(dst, src) return dst @computation_function() def sqrt(src: SignalObj) -> SignalObj: """Compute square root with :py:data:`numpy.sqrt` Args: src: source signal Returns: Result signal object """ dst = dst_1_to_1(src, "sqrt") x, y = src.get_data() # Compute result result_y = np.sqrt(y) dst.set_xydata(x, result_y, src.dx, src.dy) # Uncertainty propagation: σ(√y) = σ(y) / (2√y) if is_uncertainty_data_available(src): with warnings.catch_warnings(): warnings.simplefilter("ignore", category=RuntimeWarning) dst.dy = src.dy / (2 * np.sqrt(y)) dst.dy[np.isinf(dst.dy) | np.isnan(dst.dy)] = np.nan restore_data_outside_roi(dst, src) return dst class PowerParam(gds.DataSet, title=_("Power")): """Power parameters""" power = gds.FloatItem(_("Power"), default=2.0) @computation_function() def power(src: SignalObj, p: PowerParam) -> SignalObj: """Compute power with :py:data:`numpy.power` Args: src: source signal p: parameters Returns: Result signal object """ dst = dst_1_to_1(src, "^", str(p.power)) dst.y = np.power(src.y, p.power) # Uncertainty propagation: σ(y^n) = |n * y^(n-1)| * σ(y) if is_uncertainty_data_available(src): with warnings.catch_warnings(): warnings.simplefilter("ignore", category=RuntimeWarning) dst.dy *= np.abs(p.power * np.power(src.y, p.power - 1)) dst.dy[np.isinf(dst.dy) | np.isnan(dst.dy)] = np.nan restore_data_outside_roi(dst, src) return dst @computation_function() def to_polar(src: SignalObj, p: AngleUnitParam) -> SignalObj: """Convert Cartesian coordinates to polar coordinates. This function converts the x and y coordinates of a signal to polar coordinates using :py:func:`sigima.tools.coordinates.to_polar`. .. warning:: X and y must share the same units for the computation to make sense. Args: src: Source signal. p: Parameters. Returns: Result signal object. Raises: ValueError: If the x and y units are not the same. """ assert p.unit is not None if src.xunit != src.yunit: warnings.warn( f"X and y units are not the same: {src.xunit} != {src.yunit}. " "Results will be incorrect." ) dst = dst_1_to_1(src, "Polar coordinates", f"unit={p.unit}") x, y = src.get_data() r, theta = coordinates.to_polar(x, y, p.unit) dst.set_xydata(r, theta) dst.xlabel = _("Radius") dst.ylabel = _("Angle") dst.yunit = p.unit return dst @computation_function() def to_cartesian(src: SignalObj, p: AngleUnitParam) -> SignalObj: """Convert polar coordinates to Cartesian coordinates. This function converts the r and theta coordinates of a signal to Cartesian coordinates using :py:func:`sigima.tools.coordinates.to_cartesian`. .. note:: It is assumed that the x-axis represents the radius and the y-axis the angle. .. warning:: Negative values are not allowed for the radius and will be clipped to 0. Args: src: Source signal. p: Parameters. Returns: Result signal object. """ dst = dst_1_to_1(src, "Cartesian coordinates", f"unit={p.unit}") r, theta = src.get_data() if np.any(r < 0.0): warnings.warn("Negative radius values are not allowed. They will be set to 0.") r = np.maximum(r, 0.0) x, y = coordinates.to_cartesian(r, theta, p.unit) dst.set_xydata(x, y) dst.xlabel = _("x") dst.ylabel = _("y") dst.yunit = src.xunit return dst Sigima-1.1.1/sigima/proc/signal/processing.py000066400000000000000000000445561514013333200211530ustar00rootroot00000000000000# -*- coding: utf-8 -*- # # Licensed under the terms of the BSD 3-Clause # (see sigima/LICENSE for details) """ Signal processing operations ============================ This module provides signal processing operations: - Zero padding - Interpolation and resampling - Convolution and deconvolution - Signal manipulation functions .. note:: Most operations use functions from :mod:`sigima.tools.signal` for actual computations. """ from __future__ import annotations import warnings import guidata.dataset as gds import numpy as np import scipy.integrate as spt import scipy.signal as sps from guidata.dataset import FuncProp, GetAttrProp from sigima.config import _ from sigima.config import options as sigima_options from sigima.enums import Interpolation1DMethod, NormalizationMethod, WindowingMethod from sigima.objects import ROI1DParam, SignalObj from sigima.proc.base import ClipParam, NormalizeParam, dst_2_to_1 from sigima.proc.decorator import computation_function from sigima.tools.signal import fourier, interpolation, scaling, windowing from .base import dst_1_to_1, is_uncertainty_data_available, restore_data_outside_roi class InterpolationParam(gds.DataSet, title=_("Interpolation")): """Interpolation parameters""" method = gds.ChoiceItem( _("Interpolation method"), [ (Interpolation1DMethod.LINEAR, "Linear"), (Interpolation1DMethod.SPLINE, "Spline"), (Interpolation1DMethod.QUADRATIC, "Quadratic"), (Interpolation1DMethod.CUBIC, "Cubic"), (Interpolation1DMethod.BARYCENTRIC, "Barycentric"), (Interpolation1DMethod.PCHIP, "PCHIP"), ], default=Interpolation1DMethod.LINEAR, ) fill_value = gds.FloatItem( _("Fill value"), default=None, help=_( "Value to use for points outside the interpolation domain " "(used only with linear, cubic and pchip methods)." ), check=False, ) @computation_function() def interpolate(src1: SignalObj, src2: SignalObj, p: InterpolationParam) -> SignalObj: """Interpolate data with :py:func:`sigima.tools.signal.interpolation.interpolate`. Args: src1: Source signal to interpolate. src2: Signal with new x-axis. p: Parameters. Returns: Result signal object. """ suffix = f"method={p.method}" if p.fill_value is not None and p.method in ( Interpolation1DMethod.LINEAR, Interpolation1DMethod.CUBIC, Interpolation1DMethod.PCHIP, ): suffix += f", fill_value={p.fill_value}" dst = dst_2_to_1(src1, src2, "interpolate", suffix) x1, y1 = src1.get_data() xnew, _y2 = src2.get_data() ynew = interpolation.interpolate(x1, y1, xnew, p.method, p.fill_value) dst.set_xydata(xnew, ynew) return dst class Resampling1DParam(InterpolationParam): """Resample parameters for 1D signals""" xmin = gds.FloatItem(_("Xmin"), allow_none=True) xmax = gds.FloatItem(_("Xmax"), allow_none=True) _prop = GetAttrProp("dx_or_nbpts") _modes = (("dx", "ΔX"), ("nbpts", _("Number of points"))) mode = gds.ChoiceItem(_("Mode"), _modes, default="nbpts", radio=True).set_prop( "display", store=_prop ) dx = gds.FloatItem("ΔX", allow_none=True).set_prop( "display", active=FuncProp(_prop, lambda x: x == "dx") ) nbpts = gds.IntItem(_("Number of points"), allow_none=True).set_prop( "display", active=FuncProp(_prop, lambda x: x == "nbpts") ) def update_from_obj(self, obj: SignalObj) -> None: """Update parameters from a signal object.""" if self.xmin is None: self.xmin = obj.x[0] if self.xmax is None: self.xmax = obj.x[-1] if self.dx is None: self.dx = obj.x[1] - obj.x[0] if self.nbpts is None: self.nbpts = len(obj.x) @computation_function() def resampling(src: SignalObj, p: Resampling1DParam) -> SignalObj: """Resample data with :py:func:`sigima.tools.signal.interpolation.interpolate` Args: src: source signal p: parameters Returns: Result signal object """ # Create new x-axis based on parameters if p.mode == "dx": assert p.dx is not None xnew = np.arange(p.xmin, p.xmax + p.dx / 2, p.dx) else: assert p.nbpts is not None xnew = np.linspace(p.xmin, p.xmax, p.nbpts) method: Interpolation1DMethod = p.method suffix = f"method={method.value}" if p.fill_value is not None and method in ( Interpolation1DMethod.LINEAR, Interpolation1DMethod.CUBIC, Interpolation1DMethod.PCHIP, ): suffix += f", fill_value={p.fill_value}" dst = dst_1_to_1(src, "resampling", suffix) x, y = src.get_data() ynew = interpolation.interpolate(x, y, xnew, method, p.fill_value) dst.set_xydata(xnew, ynew) return dst def check_same_sample_rate(src1: SignalObj, src2: SignalObj) -> None: """Check if two signals have a constant step size *and* the same sample rate. Args: src1: First signal. src2: Second signal. Raises: ValueError: If the signals do not have a constant step size or the same sample rate. """ for sig in (src1, src2): if not np.allclose(np.diff(sig.x), sig.x[1] - sig.x[0]): raise ValueError(f"Signal {sig.title} must have a constant step size (dx).") dx1 = src1.x[1] - src1.x[0] dx2 = src2.x[1] - src2.x[0] if not np.isclose(dx1, dx2): raise ValueError(f"Signals must have the same sample rate (dx): {dx1} != {dx2}") @computation_function() def deconvolution(src1: SignalObj, src2: SignalObj) -> SignalObj: """Compute deconvolution. The function computes the deconvolution of a signal using :py:func:`sigima_.algorithms.signal.fourier.deconvolve`. Args: src1: Source signal. src2: Filter signal. Returns: Result signal. Notes: The kernel normalization behavior can be configured globally using ``sigima.config.options.auto_normalize_kernel``. """ check_same_sample_rate(src1, src2) dst = dst_2_to_1(src1, src2, "⊛⁻¹", f"filter={src2.title}") x1, y1 = src1.get_data() _x2, y2 = src2.get_data() # Get kernel normalization option from configuration normalize_kernel = sigima_options.auto_normalize_kernel.get() result_y = fourier.deconvolve( x1, y1, y2, normalize_kernel_flag=normalize_kernel, reg=2.0, gain_max=None, auto_scale=True, ) dst.set_xydata(x1, result_y, None, None) restore_data_outside_roi(dst, src1) return dst @computation_function() def normalize(src: SignalObj, p: NormalizeParam) -> SignalObj: """Normalize data with :py:func:`sigima.tools.signal.level.normalize` Args: src: source signal p: parameters Returns: Result signal object """ method: NormalizationMethod = p.method dst = dst_1_to_1(src, "normalize", f"ref={method.value}") x, y = src.get_data() normalized_y = scaling.normalize(y, method) dst.set_xydata(x, normalized_y) # Uncertainty propagation for normalization # σ(y/norm_factor) = σ(y) / norm_factor if is_uncertainty_data_available(src): with warnings.catch_warnings(): warnings.simplefilter("ignore", category=RuntimeWarning) # Calculate normalization factor if method == NormalizationMethod.MAXIMUM: norm_factor = np.nanmax(y) elif method == NormalizationMethod.AMPLITUDE: norm_factor = np.nanmax(y) - np.nanmin(y) elif method == NormalizationMethod.AREA: norm_factor = np.nansum(y) elif method == NormalizationMethod.ENERGY: norm_factor = np.sqrt(np.nansum(np.abs(y) ** 2)) elif method == NormalizationMethod.RMS: norm_factor = np.sqrt(np.nanmean(np.abs(y) ** 2)) else: raise RuntimeError(f"Unsupported normalization method: {method}") if norm_factor != 0: dst.dy = src.dy / np.abs(norm_factor) else: dst.dy[:] = np.nan restore_data_outside_roi(dst, src) return dst @computation_function() def derivative(src: SignalObj) -> SignalObj: """Compute derivative with :py:func:`numpy.gradient` Args: src: source signal Returns: Result signal object """ dst = dst_1_to_1(src, "derivative") x, y = src.get_data() dst.set_xydata(x, np.gradient(y, x)) # Uncertainty propagation for numerical derivative # For gradient using finite differences: σ(dy/dx) ≈ σ(y) / Δx if is_uncertainty_data_available(src): with warnings.catch_warnings(): warnings.simplefilter("ignore", category=RuntimeWarning) # Use the same gradient approach as numpy.gradient for uncertainty dst.dy = np.gradient(src.dy, x) dst.dy[np.isinf(dst.dy) | np.isnan(dst.dy)] = np.nan restore_data_outside_roi(dst, src) return dst @computation_function() def integral(src: SignalObj) -> SignalObj: """Compute integral with :py:func:`scipy.integrate.cumulative_trapezoid` Args: src: source signal Returns: Result signal object """ dst = dst_1_to_1(src, "integral") x, y = src.get_data() dst.set_xydata(x, spt.cumulative_trapezoid(y, x, initial=0.0)) # Uncertainty propagation for numerical integration # For cumulative trapezoidal integration, uncertainties accumulate if is_uncertainty_data_available(src): # Propagate uncertainties through cumulative trapezoidal rule # σ(∫y dx) ≈ √(Σ(σ(y_i) * Δx_i)²) for independent measurements dx = np.diff(x) dy_squared = src.dy[:-1] ** 2 + src.dy[1:] ** 2 # Trapezoidal rule uncertainty # Propagated variance for trapezoidal integration dst.dy = np.zeros_like(dst.y) # Initialize uncertainty array dst.dy[0] = 0.0 # Initial value has no uncertainty dst.dy[1:] = np.sqrt(np.cumsum(dy_squared * (dx**2) / 4)) restore_data_outside_roi(dst, src) return dst class XYCalibrateParam(gds.DataSet, title=_("Calibration")): """Signal calibration parameters""" axes = (("x", _("X-axis")), ("y", _("Y-axis"))) axis = gds.ChoiceItem(_("Calibrate"), axes, default="y") a = gds.FloatItem("a", default=1.0) b = gds.FloatItem("b", default=0.0) @computation_function() def calibration(src: SignalObj, p: XYCalibrateParam) -> SignalObj: """Compute linear calibration Args: src: source signal p: parameters Returns: Result signal object """ dst = dst_1_to_1(src, "calibration", f"{p.axis}={p.a}*{p.axis}+{p.b}") x, y = src.get_data() if p.axis == "x": dst.set_xydata(p.a * x + p.b, y, src.dx, src.dy) # For X-axis calibration: uncertainties in x are scaled, y unchanged if is_uncertainty_data_available(src): dst.dx = np.abs(p.a) * src.dx if src.dx is not None else None # Y uncertainties remain the same else: dst.set_xydata(x, p.a * y + p.b, src.dx, src.dy) # For Y-axis calibration: σ(a*y + b) = |a| * σ(y) if is_uncertainty_data_available(src): if dst.dy is not None: dst.dy *= np.abs(p.a) restore_data_outside_roi(dst, src) return dst @computation_function() def clip(src: SignalObj, p: ClipParam) -> SignalObj: """Compute maximum data clipping with :py:func:`numpy.clip` Args: src: source signal p: parameters Returns: Result signal object """ dst = dst_1_to_1(src, "clip", f"[{p.lower}, {p.upper}]") x, y = src.get_data() # Compute result result_y = np.clip(y, p.lower, p.upper) dst.set_xydata(x, result_y, src.dx, src.dy) # Uncertainty propagation: σ(clip(y)) = σ(y) where not clipped, 0 where clipped if is_uncertainty_data_available(src): dst.dy = src.dy.copy() if p.lower is not None: dst.dy[y <= p.lower] = 0 if p.upper is not None: dst.dy[y >= p.upper] = 0 restore_data_outside_roi(dst, src) return dst @computation_function() def offset_correction(src: SignalObj, p: ROI1DParam) -> SignalObj: """Correct offset: subtract the mean value of the signal in the specified range (baseline correction) Args: src: source signal p: parameters Returns: Result signal object """ dst = dst_1_to_1(src, "offset_correction", f"{p.xmin:.3g}≤x≤{p.xmax:.3g}") _roi_x, roi_y = p.get_data(src) dst.y -= np.mean(roi_y) restore_data_outside_roi(dst, src) return dst class DetrendingParam(gds.DataSet, title=_("Detrending")): """Detrending parameters""" methods = (("linear", _("Linear")), ("constant", _("Constant"))) method = gds.ChoiceItem(_("Detrending method"), methods, default="linear") @computation_function() def detrending(src: SignalObj, p: DetrendingParam) -> SignalObj: """Detrend data with :py:func:`scipy.signal.detrend` Args: src: source signal p: parameters Returns: Result signal object """ dst = dst_1_to_1(src, "detrending", f"method={p.method}") x, y = src.get_data() dst.set_xydata(x, sps.detrend(y, type=p.method)) restore_data_outside_roi(dst, src) return dst class WindowingParam(gds.DataSet, title=_("Windowing")): """Windowing parameters.""" _meth_prop = gds.GetAttrProp("method") method = gds.ChoiceItem( _("Method"), WindowingMethod, default=WindowingMethod.HAMMING ).set_prop("display", store=_meth_prop) alpha = gds.FloatItem( "Alpha", default=0.5, help=_("Shape parameter of the Tukey windowing function"), ).set_prop( "display", active=gds.FuncProp(_meth_prop, lambda x: x == WindowingMethod.TUKEY) ) beta = gds.FloatItem( "Beta", default=14.0, help=_("Shape parameter of the Kaiser windowing function"), ).set_prop( "display", active=gds.FuncProp(_meth_prop, lambda x: x == WindowingMethod.KAISER), ) sigma = gds.FloatItem( "Sigma", default=0.5, help=_("Shape parameter of the Gaussian windowing function"), ).set_prop( "display", active=gds.FuncProp(_meth_prop, lambda x: x == WindowingMethod.GAUSSIAN), ) @computation_function() def apply_window(src: SignalObj, p: WindowingParam) -> SignalObj: """Compute windowing with :py:func:`sigima.tools.signal.windowing.apply_window`. Args: src: Source signal. p: Parameters for windowing. Returns: Result signal object. """ method: WindowingMethod = p.method suffix = f"method={method.value}" if method == WindowingMethod.GAUSSIAN: suffix += f", sigma={p.sigma:.3f}" elif method == WindowingMethod.KAISER: suffix += f", beta={p.beta:.3f}" elif method == WindowingMethod.TUKEY: suffix += f", alpha={p.alpha:.3f}" dst = dst_1_to_1(src, "apply_window", suffix) assert p.alpha is not None dst.y = windowing.apply_window(dst.y, method, p.alpha) restore_data_outside_roi(dst, src) return dst @computation_function() def reverse_x(src: SignalObj) -> SignalObj: """Reverse x-axis Args: src: source signal Returns: Result signal object """ dst = dst_1_to_1(src, "reverse_x") dst.y = dst.y[::-1] return dst @computation_function() def convolution(src1: SignalObj, src2: SignalObj) -> SignalObj: """Compute convolution of two signals with :py:func:`scipy.signal.convolve`. Args: src1: Source signal 1. src2: Source signal 2. Returns: Result signal. Notes: The behavior of kernel normalization is controlled by the global configuration option ``sigima.config.options.auto_normalize_kernel``. """ check_same_sample_rate(src1, src2) dst = dst_2_to_1(src1, src2, "⊛") x1, y1 = src1.get_data() _x2, y2 = src2.get_data() # Get configuration option for kernel normalization normalize_kernel = sigima_options.auto_normalize_kernel.get() ynew = fourier.convolve( x1, y1, y2, normalize_kernel_flag=normalize_kernel, ) dst.set_xydata(x1, ynew, None, None) restore_data_outside_roi(dst, src1) return dst @computation_function() def xy_mode(src1: SignalObj, src2: SignalObj) -> SignalObj: """Simulate the X-Y mode of an oscilloscope. Use the first signal as the X-axis and the second signal as the Y-axis. Args: src1: First input signal (X-axis). src2: Second input signal (Y-axis). Returns: A signal object representing the X-Y mode. """ dst = dst_2_to_1(src1, src2, "", "X-Y Mode") p = Resampling1DParam() p.xmin = max(src1.x[0], src2.x[0]) p.xmax = min(src1.x[-1], src2.x[-1]) assert p.xmin < p.xmax, "X-Y mode: No overlap between signals." p.mode = "nbpts" p.nbpts = min(src1.x.size, src2.x.size) _, y1 = resampling(src1, p).get_data() _, y2 = resampling(src2, p).get_data() dst.set_xydata(y1, y2) dst.title = "{1} = f({0})" restore_data_outside_roi(dst, src1) return dst @computation_function() def replace_x_by_other_y(src1: SignalObj, src2: SignalObj) -> SignalObj: """Create a new signal using Y from src1 and Y from src2 as X coordinates. This is useful for calibration scenarios where one signal contains calibration data (e.g., wavelengths) in its Y values, and you want to plot another signal's Y values against these calibration points. The two signals must have the same number of points. Args: src1: First signal (provides Y data for output). src2: Second signal (provides Y data to be used as X coordinates for output). Returns: A new signal with X from src2.y and Y from src1.y. Raises: ValueError: If signals don't have the same number of points. """ if src1.y.size != src2.y.size: raise ValueError( f"Signals must have the same number of points: " f"{src1.y.size} != {src2.y.size}" ) dst = dst_2_to_1(src1, src2, "replace_x_by_other_y") dst.set_xydata(src2.y, src1.y) dst.xlabel = src2.ylabel if src2.ylabel else "X" dst.xunit = src2.yunit if src2.yunit else "" # Y label and unit remain from src1 restore_data_outside_roi(dst, src1) return dst Sigima-1.1.1/sigima/proc/signal/stability.py000066400000000000000000000107361514013333200207740ustar00rootroot00000000000000# -*- coding: utf-8 -*- # # Licensed under the terms of the BSD 3-Clause # (see sigima/LICENSE for details) """ Stability analysis functions ============================ This module provides stability analysis functions for signal objects: - Allan variance and deviation - Overlapping Allan variance - Modified Allan variance - Hadamard variance - Total variance .. note:: All operations use functions from :mod:`sigima.tools.signal.stability` for actual computations. """ from __future__ import annotations import guidata.dataset as gds import numpy as np from sigima.config import _ from sigima.objects import SignalObj from sigima.proc.decorator import computation_function from sigima.tools.signal import stability from .base import dst_1_to_1 class AllanVarianceParam(gds.DataSet, title=_("Allan variance")): """Allan variance parameters""" max_tau = gds.IntItem("Max τ", default=100, min=1, unit="pts") @computation_function() def allan_variance(src: SignalObj, p: AllanVarianceParam) -> SignalObj: """Compute Allan variance with :py:func:`sigima.tools.signal.stability.allan_variance`. Args: src: source signal p: parameters Returns: Result signal object """ dst = dst_1_to_1(src, "allan_variance", f"max_tau={p.max_tau}") x, y = src.get_data() tau_values = np.arange(1, p.max_tau + 1) avar = stability.allan_variance(x, y, tau_values) dst.set_xydata(tau_values, avar) return dst @computation_function() def allan_deviation(src: SignalObj, p: AllanVarianceParam) -> SignalObj: """Compute Allan deviation with :py:func:`sigima.tools.signal.stability.allan_deviation` Args: src: source signal p: parameters Returns: Result signal object """ dst = dst_1_to_1(src, "allan_deviation", f"max_tau={p.max_tau}") x, y = src.get_data() tau_values = np.arange(1, p.max_tau + 1) adev = stability.allan_deviation(x, y, tau_values) dst.set_xydata(tau_values, adev) return dst @computation_function() def overlapping_allan_variance(src: SignalObj, p: AllanVarianceParam) -> SignalObj: """Compute Overlapping Allan variance. Args: src: source signal p: parameters Returns: Result signal object """ dst = dst_1_to_1(src, "overlapping_allan_variance", f"max_tau={p.max_tau}") x, y = src.get_data() tau_values = np.arange(1, p.max_tau + 1) oavar = stability.overlapping_allan_variance(x, y, tau_values) dst.set_xydata(tau_values, oavar) return dst @computation_function() def modified_allan_variance(src: SignalObj, p: AllanVarianceParam) -> SignalObj: """Compute Modified Allan variance. Args: src: source signal p: parameters Returns: Result signal object """ dst = dst_1_to_1(src, "modified_allan_variance", f"max_tau={p.max_tau}") x, y = src.get_data() tau_values = np.arange(1, p.max_tau + 1) mavar = stability.modified_allan_variance(x, y, tau_values) dst.set_xydata(tau_values, mavar) return dst @computation_function() def hadamard_variance(src: SignalObj, p: AllanVarianceParam) -> SignalObj: """Compute Hadamard variance. Args: src: source signal p: parameters Returns: Result signal object """ dst = dst_1_to_1(src, "hadamard_variance", f"max_tau={p.max_tau}") x, y = src.get_data() tau_values = np.arange(1, p.max_tau + 1) hvar = stability.hadamard_variance(x, y, tau_values) dst.set_xydata(tau_values, hvar) return dst @computation_function() def total_variance(src: SignalObj, p: AllanVarianceParam) -> SignalObj: """Compute Total variance. Args: src: source signal p: parameters Returns: Result signal object """ dst = dst_1_to_1(src, "total_variance", f"max_tau={p.max_tau}") x, y = src.get_data() tau_values = np.arange(1, p.max_tau + 1) tvar = stability.total_variance(x, y, tau_values) dst.set_xydata(tau_values, tvar) return dst @computation_function() def time_deviation(src: SignalObj, p: AllanVarianceParam) -> SignalObj: """Compute Time Deviation (TDEV). Args: src: source signal p: parameters Returns: Result signal object """ dst = dst_1_to_1(src, "time_deviation", f"max_tau={p.max_tau}") x, y = src.get_data() tau_values = np.arange(1, p.max_tau + 1) tdev = stability.time_deviation(x, y, tau_values) dst.set_xydata(tau_values, tdev) return dst Sigima-1.1.1/sigima/proc/title_formatting.py000066400000000000000000000124211514013333200210570ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """ Title formatting system for computation results ----------------------------------------------- This module provides a configurable title formatting system for computation results. It allows different applications (Sigima vs DataLab) to use different title formatting strategies while maintaining compatibility. """ from __future__ import annotations from typing import Protocol, runtime_checkable __all__ = [ "PlaceholderTitleFormatter", "SimpleTitleFormatter", "TitleFormatter", "get_default_title_formatter", "set_default_title_formatter", ] @runtime_checkable class TitleFormatter(Protocol): """Protocol for title formatting strategies used in computation functions. This protocol allows different title formatting approaches: - Simple descriptive titles for Sigima-only usage - Placeholder-based titles for DataLab integration - Custom formatting for specific use cases """ def format_1_to_1_title(self, name: str, suffix: str | None = None) -> str: """Format title for 1-to-1 computation (single input → single output). Args: name: Name of the computation function suffix: Optional suffix to add to the title Returns: Formatted title string """ def format_n_to_1_title( self, name: str, n_inputs: int, suffix: str | None = None ) -> str: """Format title for n-to-1 computation (multiple inputs → single output). Args: name: Name of the computation function n_inputs: Number of input objects suffix: Optional suffix to add to the title Returns: Formatted title string """ def format_2_to_1_title(self, name: str, suffix: str | None = None) -> str: """Format title for 2-to-1 computation (two inputs → single output). Args: name: Name of the computation function suffix: Optional suffix to add to the title Returns: Formatted title string """ class SimpleTitleFormatter: """Simple descriptive title formatter for Sigima-only usage. Creates human-readable titles without placeholders, suitable for standalone Sigima usage where object relationships are less critical. """ def format_1_to_1_title(self, name: str, suffix: str | None = None) -> str: """Format title for 1-to-1 computation.""" # Convert function names to human-readable format readable_name = name.replace("_", " ").title() base_title = f"{readable_name} Result" if suffix: base_title += f" ({suffix})" return base_title def format_n_to_1_title( self, name: str, n_inputs: int, suffix: str | None = None ) -> str: """Format title for n-to-1 computation.""" readable_name = name.replace("_", " ").title() base_title = f"{readable_name} of {n_inputs} Objects" if suffix: base_title += f" ({suffix})" return base_title def format_2_to_1_title(self, name: str, suffix: str | None = None) -> str: """Format title for 2-to-1 computation.""" if len(name) == 1: # This is an operator base_title = f"Binary Operation {name}" else: readable_name = name.replace("_", " ").title() base_title = f"{readable_name} Result" if suffix: base_title += f" ({suffix})" return base_title class PlaceholderTitleFormatter: """Placeholder-based title formatter compatible with DataLab. Creates titles with placeholders that can be resolved later by DataLab's patch_title_with_ids() function. """ def format_1_to_1_title(self, name: str, suffix: str | None = None) -> str: """Format title for 1-to-1 computation with placeholder.""" title = f"{name}({{0}})" if suffix: title += "|" + suffix return title def format_n_to_1_title( self, name: str, n_inputs: int, suffix: str | None = None ) -> str: """Format title for n-to-1 computation with placeholders.""" placeholders = ", ".join(f"{{{i}}}" for i in range(n_inputs)) title = f"{name}({placeholders})" if suffix: title += "|" + suffix return title def format_2_to_1_title(self, name: str, suffix: str | None = None) -> str: """Format title for 2-to-1 computation with placeholders.""" if len(name) == 1: # This is an operator title = f"{{0}}{name}{{1}}" else: title = f"{name}({{0}}, {{1}})" if suffix: title += "|" + suffix return title # Global default title formatter _default_title_formatter: TitleFormatter = SimpleTitleFormatter() def get_default_title_formatter() -> TitleFormatter: """Get the current default title formatter. Returns: Current default title formatter """ return _default_title_formatter def set_default_title_formatter(formatter: TitleFormatter) -> None: """Set the default title formatter. Args: formatter: Title formatter to use as default """ global _default_title_formatter # pylint: disable=global-statement _default_title_formatter = formatter Sigima-1.1.1/sigima/proc/validation.py000066400000000000000000000241221514013333200176370ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """ .. Validation statistics module (see parent package :mod:`sigima.computation`) """ from __future__ import annotations import csv import dataclasses import importlib import inspect import os.path as osp import pkgutil import re from _pytest.mark import Mark import sigima.tests as tests_pkg from sigima import __version__ from sigima.proc.decorator import find_computation_functions def generate_valid_test_names_for_function( module_name: str, func_name: str ) -> list[str]: """Generate all valid test names for a computation function. Args: module_name: Module name containing the computation function (e.g., "sigima.proc.image") func_name: Function name (e.g., "compute_add_gaussian_noise") Returns: List of valid test names that could test this computation function """ family = module_name.split(".")[-1] # "signal" or "image" shortname = func_name.removeprefix("compute_") endings = [shortname, shortname + "_unit", shortname + "_validation"] beginnings = ["test", f"test_{family}", f"test_{family[:3]}", f"test_{family[0]}"] names = [f"{beginning}_{ending}" for beginning in beginnings for ending in endings] return names def check_for_validation_test( full_function_name: str, validation_tests: list[tuple[str, str]] ) -> str: """Check if a validation test exists for a compute function Args: full_function_name: Compute function name validation_tests: List of validation tests Returns: Text to be included in the CSV file or None if it doesn't exist """ # Extract module name and function name from full function name module_parts = full_function_name.split(".") module_name = ".".join(module_parts[:-1]) # e.g., "sigima.proc.image" func_name = module_parts[-1] # e.g., "compute_add_gaussian_noise" # Generate all valid test names for this computation function names = generate_valid_test_names_for_function(module_name, func_name) stable_version = re.sub(r"\.?(post|dev|rc|b|a)\S*", "", __version__) for test, path, line_number in validation_tests: if test in names: # Path relative to the `datalab` package: path = osp.relpath(path, start=osp.dirname(osp.join(tests_pkg.__file__))) name = "/".join(path.split(osp.sep)) link = ( f"https://github.com/DataLab-Platform/Sigima/blob/" f"v{stable_version}/sigima/tests/{name}#L{line_number}" ) return f"`{test} <{link}>`_" return None def get_validation_tests(package: str) -> list: """Retrieve list of validation tests from a package and its submodules Args: package: Python package Returns: List of tuples containing the test name, module path and line number """ validation_tests = [] package_path = package.__path__ for _, module_name, _ in pkgutil.walk_packages( package_path, package.__name__ + "." ): try: module = importlib.import_module(module_name) except ImportError as exc: if "viz" in module_name: # This is expected as viz requires a GUI continue raise ImportError( f"Failed to import module {module_name}. " "Ensure the module is correctly installed and accessible." ) from exc for name, obj in inspect.getmembers(module, inspect.isfunction): if hasattr(obj, "pytestmark"): for mark in obj.pytestmark: if isinstance(mark, Mark) and mark.name == "validation": module_path = inspect.getfile(obj) try: line_number = inspect.getsourcelines(obj)[1] except OSError as exc: raise RuntimeError( f"Failed to get source line for {name} in {module_name}" ) from exc validation_tests.append((name, module_path, line_number)) return validation_tests def shorten_docstring(docstring: str) -> str: """Shorten a docstring to a single line Args: docstring: Docstring Returns: Shortened docstring """ shorter = docstring.split("\n")[0].strip() if docstring else "-" for suffix in (".", ":", ",", "using", "with"): shorter = shorter.removesuffix(suffix) shorter = shorter.split(" with :py:func:")[0] # Remove function references return shorter @dataclasses.dataclass class ValidationStatus: """Data class to hold validation status of a compute function""" module_name: str function_name: str description: str test_script: str def get_pyfunc_link(self) -> str: """Get the reStructuredText link to the compute function""" return ( f":py:func:`{self.function_name} <{self.module_name}.{self.function_name}>`" ) def __str__(self) -> str: """String representation of the validation status""" return f"{self.get_pyfunc_link()} - {self.description} - {self.test_script}" def to_csv_row(self) -> list[str]: """Convert the validation status to a CSV row""" return [self.get_pyfunc_link(), self.description, self.test_script] class ValidationStatistics: """Data class to hold validation statistics of compute functions""" def __init__(self): self.submodules: dict[str, list[tuple[str, str, str]]] = {} self.t_count: dict[str, int] = {} self.v_count: dict[str, int] = {} self.signal_pct: int = 0 self.image_pct: int = 0 self.total_pct: int = 0 self.validations: dict[str, list[ValidationStatus]] = {} self.validation_info_list: list[str] = [] def collect_validation_status(self, verbose: bool = False) -> None: """Populate the statistics from the validation status""" compute_functions = find_computation_functions() validation_tests = get_validation_tests(tests_pkg) self.submodules = {"signal": [], "image": []} for modname, funcname, docstring in compute_functions: if "signal" in modname: self.submodules["signal"].append((modname, funcname, docstring)) elif "image" in modname: self.submodules["image"].append((modname, funcname, docstring)) self.t_count = t_count = {"signal": 0, "image": 0, "total": 0} self.v_count = v_count = {"signal": 0, "image": 0, "total": 0} self.validations = {"signal": [], "image": []} for submodule, functions in self.submodules.items(): for modname, funcname, docstring in functions: full_funcname = f"{modname}.{funcname}" test_link = check_for_validation_test(full_funcname, validation_tests) if test_link: v_count[submodule] += 1 v_count["total"] += 1 t_count[submodule] += 1 t_count["total"] += 1 status = ValidationStatus( module_name=modname, function_name=funcname, description=shorten_docstring(docstring), test_script=test_link if test_link else "N/A", ) self.validations[submodule].append(status) self.signal_pct = signal_pct = ( int((v_count["signal"] / t_count["signal"]) * 100) if t_count["signal"] > 0 else 0 ) self.image_pct = image_pct = ( int((v_count["image"] / t_count["image"]) * 100) if t_count["image"] > 0 else 0 ) self.total_pct = total_pct = ( int((v_count["total"] / t_count["total"]) * 100) if t_count["total"] > 0 else 0 ) self.validation_info_list = [ f"Validation statistics for Sigima {__version__}:", f" Signal: {v_count['signal']}/{t_count['signal']} ({signal_pct}%)", f" Image : {v_count['image']}/{t_count['image']} ({image_pct}%)", f" Total : {v_count['total']}/{t_count['total']} ({total_pct}%)", ] if verbose: print("\n".join(self.validation_info_list)) print() def get_validation_info(self) -> list[str]: """Get the validation information as a list of strings""" if not self.validation_info_list: self.collect_validation_status(verbose=False) return self.validation_info_list def generate_csv_files(self, path: str) -> None: """Generate CSV files for each submodule's validation status""" for submodule, validation_status_list in self.validations.items(): rows = [status.to_csv_row() for status in validation_status_list] fname = osp.join(path, f"validation_status_{submodule}.csv") with open(fname, "w", newline="", encoding="utf-8") as csvfile: writer = csv.writer(csvfile) writer.writerows(rows) def generate_statistics_csv(self, path: str) -> None: """Generate a CSV file with the validation statistics""" statistics_rows = [ [ "Number of compute functions", self.t_count["signal"], self.t_count["image"], self.t_count["total"], ], [ "Number of validated compute functions", self.v_count["signal"], self.v_count["image"], self.v_count["total"], ], [ "Percentage of validated compute functions", f"{self.signal_pct}%", f"{self.image_pct}%", f"{self.total_pct}%", ], ] fname = osp.join(path, "validation_statistics.csv") with open(fname, "w", newline="", encoding="utf-8") as csvfile: writer = csv.writer(csvfile) writer.writerows(statistics_rows) Sigima-1.1.1/sigima/tests/000077500000000000000000000000001514013333200153315ustar00rootroot00000000000000Sigima-1.1.1/sigima/tests/__init__.py000066400000000000000000000002331514013333200174400ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """ Sigima test suite """ SIGIMA_TESTS_GUI_ENV = "SIGIMA_TESTS_GUI" Sigima-1.1.1/sigima/tests/common/000077500000000000000000000000001514013333200166215ustar00rootroot00000000000000Sigima-1.1.1/sigima/tests/common/__init__.py000066400000000000000000000000001514013333200207200ustar00rootroot00000000000000Sigima-1.1.1/sigima/tests/common/annotations_unit_test.py000066400000000000000000000105031514013333200236250ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """Unit tests for annotation API.""" import json import pytest from sigima.objects.image.creation import create_image from sigima.objects.signal.creation import create_signal def test_get_empty_annotations(): """Test getting annotations from object without annotations.""" obj = create_signal("Test") assert obj.get_annotations() == [] assert not obj.has_annotations() def test_get_empty_annotations_image(): """Test getting annotations from image object without annotations.""" obj = create_image("Test") assert obj.get_annotations() == [] assert not obj.has_annotations() def test_set_get_annotations(): """Test setting and getting annotations.""" obj = create_signal("Test") annotations = [{"type": "label", "text": "Test"}] obj.set_annotations(annotations) assert obj.get_annotations() == annotations assert obj.has_annotations() def test_set_get_annotations_multiple(): """Test setting and getting multiple annotations.""" obj = create_signal("Test") annotations = [ {"type": "label", "x": 10, "y": 20, "text": "Peak"}, {"type": "rectangle", "x0": 0, "y0": 0, "x1": 100, "y1": 100}, ] obj.set_annotations(annotations) result = obj.get_annotations() assert len(result) == 2 assert result == annotations def test_add_annotation(): """Test adding single annotation.""" obj = create_signal("Test") obj.add_annotation({"type": "circle", "r": 5}) obj.add_annotation({"type": "rect", "w": 10}) annotations = obj.get_annotations() assert len(annotations) == 2 assert annotations[0]["type"] == "circle" assert annotations[1]["type"] == "rect" def test_clear_annotations(): """Test clearing annotations.""" obj = create_signal("Test") obj.set_annotations([{"type": "test"}]) assert obj.has_annotations() obj.clear_annotations() assert obj.get_annotations() == [] assert not obj.has_annotations() def test_invalid_json(): """Test handling of invalid JSON.""" obj = create_signal("Test") obj.annotations = "invalid{json" assert obj.get_annotations() == [] def test_non_json_serializable(): """Test rejection of non-serializable data.""" obj = create_signal("Test") with pytest.raises(ValueError): obj.set_annotations([{"func": lambda x: x}]) def test_invalid_type(): """Test rejection of non-list annotations.""" obj = create_signal("Test") with pytest.raises(TypeError): obj.set_annotations({"type": "dict"}) # type: ignore def test_versioned_format(): """Test that annotations are stored with version.""" obj = create_signal("Test") obj.set_annotations([{"type": "test"}]) # Check internal storage format data = json.loads(obj.annotations) assert "version" in data assert data["version"] == "1.0" assert "annotations" in data def test_annotation_persistence(): """Test that annotations persist through copy operations.""" obj = create_signal("Test") obj.set_annotations([{"type": "label", "text": "Original"}]) # Copy the object obj_copy = obj.copy() # Annotations should be copied assert obj_copy.get_annotations() == obj.get_annotations() def test_complex_annotation_data(): """Test complex nested annotation structures.""" obj = create_image("Test") complex_annotation = { "type": "complex", "properties": { "color": "red", "style": {"width": 2, "dash": [5, 3]}, }, "geometry": [[0, 0], [10, 10], [20, 0]], "metadata": {"created": "2025-11-02", "author": "test"}, } obj.add_annotation(complex_annotation) retrieved = obj.get_annotations() assert len(retrieved) == 1 assert retrieved[0] == complex_annotation def test_empty_annotations_field(): """Test behavior with explicitly empty annotations field.""" obj = create_signal("Test") obj.annotations = "" assert obj.get_annotations() == [] assert not obj.has_annotations() def test_malformed_json_structure(): """Test handling of valid JSON but wrong structure.""" obj = create_signal("Test") obj.annotations = json.dumps({"wrong": "structure"}) assert obj.get_annotations() == [] if __name__ == "__main__": pytest.main([__file__]) Sigima-1.1.1/sigima/tests/common/arithmeticparam_unit_test.py000066400000000000000000000012211514013333200244370ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """ Arithmetic parameters unit test. """ # pylint: disable=invalid-name # Allows short reference names like x, y, ... import pytest from sigima.params import ArithmeticParam from sigima.tests import guiutils from sigima.tests.env import execenv @pytest.mark.gui def test_arithmetic_param_interactive(): """Arithmetic parameters interactive test.""" with guiutils.lazy_qt_app_context(force=True): param = ArithmeticParam() if param.edit(): execenv.print(param) if __name__ == "__main__": test_arithmetic_param_interactive() Sigima-1.1.1/sigima/tests/common/basename_unit_test.py000066400000000000000000000077701514013333200230570ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """Unit tests for :py:func:`sigima.io.common.basename.format_basenames`.""" from __future__ import annotations import pytest from sigima.io.common.basename import format_basenames from sigima.objects.image import ImageObj from sigima.objects.signal import SignalObj def make_signal( title: str = "", xlabel: str = "", xunit: str = "", ylabel: str = "", yunit: str = "", metadata: dict | None = None, ) -> SignalObj: """Create a SignalObj with specified attributes for testing. Args: title: Title of the signal. xlabel: Label for the x-axis. xunit: Unit for the x-axis. ylabel: Label for the y-axis. yunit: Unit for the y-axis. metadata: Metadata dictionary. Returns: Configured SignalObj instance. """ sig = SignalObj() sig.title = title sig.xlabel = xlabel sig.xunit = xunit sig.ylabel = ylabel sig.yunit = yunit sig.metadata = {} if metadata is None else metadata return sig def make_image(title: str = "", metadata: dict | None = None) -> ImageObj: """Create an ImageObj with specified attributes for testing. Args: title: Title of the image. metadata: Metadata dictionary. Returns: Configured ImageObj instance. """ img = ImageObj() img.title = title img.metadata = {} if metadata is None else metadata return img def test_format_basenames_with_indices_and_total_count(): """Test with indexing and total count placeholders.""" objs = [make_signal("sig1"), make_signal("sig2"), make_signal("sig3")] names = format_basenames(objs, fmt="{index:02d}_of_{count:02d}") assert names == ["01_of_03", "02_of_03", "03_of_03"] def test_format_basenames_with_metadata_and_axes_placeholders(): """Test with metadata and axis placeholders.""" sig = make_signal( title="My/Signal", xlabel="Time", xunit="s", ylabel="Amp", yunit="V", metadata={"id": 42}, ) names = format_basenames( [sig], fmt="{title}_{xlabel}[{xunit}]_{ylabel}[{yunit}]_{metadata[id]}" ) assert names == ["My_Signal_Time[s]_Amp[V]_42"] def test_format_basenames_sanitization(): """Test with sanitization for titles.""" objs = [make_signal("A/B"), make_image("C/D")] # '/' must be sanitized on all OSes names = format_basenames(objs, fmt="{title}") assert names == ["A_B", "C_D"] def test_format_basenames_sanitization_with_custom_replacement(): """Test with custom replacement character.""" objs = [make_signal("a/b"), make_image("c/d")] names = format_basenames(objs, fmt="{title}", replacement="-") assert names == ["a-b", "c-d"] def test_format_basenames_with_unknown_metadata_key(): """Test that requesting a missing metadata key raises a KeyError.""" sig = make_signal(title="T", metadata={"other": 1}) with pytest.raises(KeyError): format_basenames([sig], fmt="{metadata[id]}") def test_format_basenames_with_unknown_placeholder(): """Test with unknown placeholder should raise a KeyError.""" with pytest.raises(KeyError): format_basenames([make_signal("x")], fmt="{unknown}") def test_format_basenames_with_direct_metadata_use(): """Test that direct {metadata} use returns empty string (silently ignored).""" sig = make_signal(title="Test", metadata={"key1": "value1", "key2": "value2"}) names = format_basenames([sig], fmt="{title} {metadata}") # The {metadata} placeholder should be replaced with empty string # The trailing space gets sanitized away assert names == ["Test"] if __name__ == "__main__": test_format_basenames_with_indices_and_total_count() test_format_basenames_with_metadata_and_axes_placeholders() test_format_basenames_sanitization() test_format_basenames_sanitization_with_custom_replacement() test_format_basenames_with_unknown_placeholder() test_format_basenames_with_direct_metadata_use() Sigima-1.1.1/sigima/tests/common/client_unit_test.py000066400000000000000000000373111514013333200225540ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """ Sigima Client Comprehensive Headless Test This test uses a stub XML-RPC server to emulate DataLab, allowing the test to run without requiring a real DataLab instance. """ # pylint: disable=invalid-name # Allows short reference names like x, y, ... # pylint: disable=duplicate-code # guitest: skip from __future__ import annotations import os.path as osp import tempfile from collections.abc import Generator from contextlib import contextmanager import numpy as np import pytest from guidata.env import execenv from sigima.client.remote import SimpleRemoteProxy from sigima.client.stub import datalab_stub_server @contextmanager def temporary_directory() -> Generator[str, None, None]: """Create a temporary directory and clean-up afterwards""" tmp = tempfile.TemporaryDirectory() # pylint: disable=consider-using-with try: yield tmp.name finally: try: tmp.cleanup() except (PermissionError, RecursionError): pass class RemoteClientTester: """Headless remote client tester class""" SIG_TITLES = ("Oscilloscope", "Digitizer", "Radiometer", "Voltmeter", "Sensor") IMA_TITLES = ( "Camera", "Streak Camera", "Image Scanner", "Laser Beam Profiler", "Gated Imaging Camera", ) def __init__(self): """Initialize the tester""" self.datalab = None self.log_messages = [] self.stub_server_port = None def log(self, message: str) -> None: """Log message for debugging""" self.log_messages.append(message) execenv.print(f"[CLIENT] {message}") def init_cdl_with_stub(self, port: int) -> bool: """Initialize DataLab connection with stub server""" try: self.stub_server_port = port self.datalab = SimpleRemoteProxy(autoconnect=False) self.datalab.connect(port=str(port), timeout=1.0, retries=1) self.log("✨ Initialized DataLab connection with stub server ✨") self.log(f" Communication port: {self.datalab.port}") # Test getting method list methods = self.datalab.get_method_list() self.log(f" Available methods: {len(methods)} found") return True except ConnectionRefusedError: self.log("🔥 Connection refused 🔥 (Stub server is not ready)") return False def init_cdl(self, port: str | None = None) -> bool: """Initialize DataLab connection Args: port: Port to connect to (if None, uses default) """ try: self.datalab = SimpleRemoteProxy(autoconnect=False) self.datalab.connect(port=port, timeout=1.0, retries=1) self.log("✨ Initialized DataLab connection ✨") self.log(f" Communication port: {self.datalab.port}") # Test getting method list methods = self.datalab.get_method_list() self.log(f" Available methods: {len(methods)} found") return True except ConnectionRefusedError: self.log("🔥 Connection refused 🔥 (DataLab server is not ready)") return False def close_datalab(self) -> None: """Close DataLab connection""" if self.datalab is not None: try: self.datalab.close_application() self.log("🎬 Closed DataLab!") except ConnectionRefusedError: self.log("Connection lost while closing DataLab") finally: self.datalab = None def test_connection_management(self) -> None: """Test connection initialization and method listing""" # If we already have a connection (from stub server), skip init if self.datalab is None: assert self.init_cdl(), "Failed to initialize DataLab connection" # Test method listing methods = self.datalab.get_method_list() assert isinstance(methods, list), "Method list should be a list" assert len(methods) > 0, "Should have at least some methods available" # Test basic server info version = self.datalab.get_version() assert isinstance(version, str), "Version should be a string" self.log(f"DataLab version: {version}") def add_test_signals(self) -> None: """Add test signals to DataLab""" if self.datalab is None: return x = np.linspace(0, 10, 1000) signals_data = [ ("Sine", np.sin(x)), ("Cosine", np.cos(x)), ("Exponential", np.exp(-x / 5)), ] for title, y in signals_data: success = self.datalab.add_signal(title, x, y) assert success, f"Failed to add signal: {title}" self.log(f"Added signal: {title}") def add_test_images(self) -> None: """Add test images to DataLab""" if self.datalab is None: return images_data = [ ("Zeros", np.zeros((100, 100))), ("Ones", np.ones((100, 100))), ("Random", np.random.random((100, 100))), ] for title, z in images_data: success = self.datalab.add_image(title, z) assert success, f"Failed to add image: {title}" self.log(f"Added image: {title}") def test_object_management(self) -> None: """Test object listing, retrieval, and manipulation""" if self.datalab is None: return # Test with signals self.datalab.set_current_panel("signal") assert self.datalab.get_current_panel() == "signal" titles = self.datalab.get_object_titles() self.log(f"Signal titles: {titles}") assert isinstance(titles, list), "Titles should be a list" uuids = self.datalab.get_object_uuids() self.log(f"Signal UUIDs: {uuids}") assert isinstance(uuids, list), "UUIDs should be a list" assert len(titles) == len(uuids), "Should have equal number of titles and UUIDs" if titles: # Test getting first object obj = self.datalab.get_object(1) # Get first object assert obj is not None, "Should be able to retrieve first object" assert hasattr(obj, "title"), "Object should have title attribute" self.log(f"Retrieved object: {obj.title}") # Test getting object by UUID first_uuid = uuids[0] obj_by_uuid = self.datalab.get_object(first_uuid) assert obj_by_uuid is not None, "Should retrieve object by UUID" assert obj_by_uuid.title == obj.title, "Objects should be the same" # Test with images self.datalab.set_current_panel("image") assert self.datalab.get_current_panel() == "image" img_titles = self.datalab.get_object_titles() self.log(f"Image titles: {img_titles}") if img_titles: img_obj = self.datalab.get_object(1) assert img_obj is not None, "Should retrieve first image" self.log(f"Retrieved image: {img_obj.title}") def test_selection_operations(self) -> None: """Test object selection operations""" if self.datalab is None: return # Test selecting objects self.datalab.set_current_panel("signal") uuids = self.datalab.get_object_uuids() if uuids: # Select first object self.datalab.select_objects([uuids[0]]) selected = self.datalab.get_sel_object_uuids() assert uuids[0] in selected, "Should have selected the object" self.log(f"Selected object: {uuids[0]}") # Test selecting multiple objects if available if len(uuids) > 1: self.datalab.select_objects([uuids[0], uuids[1]]) selected = self.datalab.get_sel_object_uuids() assert len(selected) == 2, "Should have selected 2 objects" def test_annotations_and_shapes(self) -> None: """Test annotation and shape operations""" if self.datalab is None: return # pylint: disable=import-outside-toplevel from plotpy.builder import make # Test with images (annotations are more meaningful for images) self.datalab.set_current_panel("image") uuids = self.datalab.get_object_uuids() if uuids: # Add an annotation rect = make.annotated_rectangle(10, 10, 50, 50, title="Test Rectangle") self.datalab.add_annotations_from_items([rect]) self.log("Added annotation rectangle") # Retrieve shapes shapes = self.datalab.get_object_shapes() assert isinstance(shapes, list), "Shapes should be a list" self.log(f"Retrieved {len(shapes)} shapes") # Add label self.datalab.add_label_with_title("Test Label") self.log("Added label with title") def test_file_operations(self) -> None: """Test file save/load operations""" if self.datalab is None: return with temporary_directory() as tmpdir: # Save to HDF5 file fname = osp.join(tmpdir, "test_remote.h5") self.datalab.save_to_h5_file(fname) self.log(f"Saved data to: {fname}") assert osp.exists(fname), "HDF5 file should exist" # Clear all data self.datalab.reset_all() self.log("Reset all data") # Verify data is cleared titles = self.datalab.get_object_titles("signal") assert len(titles) == 0, "Signal panel should be empty after reset" # Reload from file self.datalab.open_h5_files([fname], import_all=True, reset_all=False) self.log("Reloaded data from HDF5 file") # Verify data is restored titles = self.datalab.get_object_titles("signal") assert len(titles) > 0, "Should have signals after reload" def test_workspace_headless_api(self) -> None: """Test load_h5_workspace and save_h5_workspace headless API (Issue #275)""" if self.datalab is None: return with temporary_directory() as tmpdir: # First add some data self.add_test_signals() self.add_test_images() # Save workspace using headless API fname = osp.join(tmpdir, "test_workspace.h5") self.datalab.save_h5_workspace(fname) self.log(f"Saved workspace to: {fname}") assert osp.exists(fname), "Workspace file should exist" # Clear all data self.datalab.reset_all() titles = self.datalab.get_object_titles("signal") assert len(titles) == 0, "Signal panel should be empty after reset" # Load workspace using headless API self.datalab.load_h5_workspace([fname], reset_all=True) self.log("Loaded workspace from file") # Verify data is restored titles = self.datalab.get_object_titles("signal") assert len(titles) > 0, "Should have signals after load_h5_workspace" self.log(f"Workspace loaded with {len(titles)} signals") # Test with single file path (string instead of list) self.datalab.reset_all() self.datalab.load_h5_workspace(fname, reset_all=True) titles = self.datalab.get_object_titles("signal") assert len(titles) > 0, "Should work with single file path string" self.log("load_h5_workspace works with single file path") def test_computation_operations(self) -> None: """Test computation operations""" if self.datalab is None: return # Test signal computations self.datalab.set_current_panel("signal") uuids = self.datalab.get_object_uuids() if uuids: # Select first signal self.datalab.select_objects([uuids[0]]) # Test some basic computations try: self.datalab.calc("log10") self.log("Applied log10 computation") except Exception as exc: # pylint: disable=broad-except self.log(f"log10 computation failed: {exc}") try: self.datalab.calc("fft") self.log("Applied FFT computation") except Exception as exc: # pylint: disable=broad-except self.log(f"FFT computation failed: {exc}") def test_group_operations(self) -> None: """Test group operations""" if self.datalab is None: return # Add a group self.datalab.add_group("Test Group", panel="signal") self.log("Added test group") # Get group information group_info = self.datalab.get_group_titles_with_object_info() assert isinstance(group_info, (list, tuple)), ( "Group info should be a list or tuple" ) assert len(group_info) == 3, "Should have 3 elements (titles, uuids, titles)" self.log(f"Groups: {group_info[0]}") def test_metadata_operations(self) -> None: """Test metadata operations""" if self.datalab is None: return uuids = self.datalab.get_object_uuids() if uuids: # Select an object self.datalab.select_objects([uuids[0]]) # Delete metadata self.datalab.delete_metadata(refresh_plot=False, keep_roi=False) self.log("Deleted metadata") def run_comprehensive_test(self) -> None: """Run all tests in sequence""" self.log("Starting comprehensive remote client test") try: # Basic connection test self.test_connection_management() # Add test data self.add_test_signals() self.add_test_images() # Test object management self.test_object_management() # Test selection operations self.test_selection_operations() # Test annotations and shapes try: self.test_annotations_and_shapes() except ImportError: self.log("PlotPy not available, skipping annotations and shapes test") # Test computations self.test_computation_operations() # Test group operations self.test_group_operations() # Test metadata operations self.test_metadata_operations() # Test file operations (this will reset data) self.test_file_operations() # Test workspace headless API (Issue #275) self.test_workspace_headless_api() self.log("✅ All tests completed successfully!") finally: # Always try to clean up try: self.datalab.reset_all() self.log("Final cleanup: reset all data") except Exception: # pylint: disable=broad-except pass def test_comprehensive_remote_client(): """Comprehensive remote client test (pytest version)""" # First try with stub server (always available) with datalab_stub_server() as port: tester = RemoteClientTester() if tester.init_cdl_with_stub(port): try: tester.run_comprehensive_test() return # Test passed with stub server finally: tester.close_datalab() # If stub server test failed, try with real DataLab tester = RemoteClientTester() if not tester.init_cdl(): pytest.skip("Neither stub server nor real DataLab server is available") try: tester.run_comprehensive_test() finally: tester.close_datalab() if __name__ == "__main__": test_comprehensive_remote_client() Sigima-1.1.1/sigima/tests/common/converters_unit_test.py000066400000000000000000000060561514013333200234720ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """ Unit tests for I/O conversion functions """ from __future__ import annotations import numpy as np import pytest from sigima.io.common import converters from sigima.objects.image import ImageObj from sigima.objects.signal import SignalObj class TestConvertArrayToValidDType: """Test suite for convert_array_to_valid_dtype function.""" def test_int_arrays(self) -> None: """Test conversion of integer numpy arrays.""" arr = np.array([1.0, 2.0, 3.0], dtype=np.int32) result = converters.convert_array_to_valid_dtype(arr, SignalObj.VALID_DTYPES) assert isinstance(result, np.ndarray) assert result.dtype == np.float32 np.testing.assert_array_almost_equal(result, arr, decimal=6) arr = np.array([[1, 2, 3], [1.1, 2, 3]], dtype=np.uint32) result = converters.convert_array_to_valid_dtype(arr, ImageObj.VALID_DTYPES) assert isinstance(result, np.ndarray) assert result.dtype == np.uint8 np.testing.assert_array_almost_equal(result, arr, decimal=6) arr = np.array([[1, 2, 3], [1.1, 2, 1e8]], dtype=np.uint32) result = converters.convert_array_to_valid_dtype(arr, ImageObj.VALID_DTYPES) assert isinstance(result, np.ndarray) assert result.dtype == np.int32 np.testing.assert_array_almost_equal(result, arr, decimal=6) def test_float_arrays(self) -> None: """Test conversion of float numpy arrays.""" arr = np.array([1.1, 2.2, 3.3], dtype=np.float32) result = converters.convert_array_to_valid_dtype(arr, SignalObj.VALID_DTYPES) assert isinstance(result, np.ndarray) assert result.dtype == np.float32 np.testing.assert_array_almost_equal(result, arr, decimal=6) arr = np.array([[1.1, 2.2, 3.3], [1.1, 2.2, 3.3]], dtype=np.float64) result = converters.convert_array_to_valid_dtype(arr, ImageObj.VALID_DTYPES) assert isinstance(result, np.ndarray) assert result.dtype == np.float64 np.testing.assert_array_almost_equal(result, arr, decimal=6) def test_bool_arrays(self) -> None: """Test conversion of boolean numpy arrays.""" arr = np.array([True, False, True], dtype=np.bool_) result = converters.convert_array_to_valid_dtype(arr, SignalObj.VALID_DTYPES) assert isinstance(result, np.ndarray) assert result.dtype == np.uint8 def test_empty_arrays(self) -> None: """Test conversion of empty numpy arrays.""" arr = np.array([], dtype=np.float32) result = converters.convert_array_to_valid_dtype(arr, SignalObj.VALID_DTYPES) assert isinstance(result, np.ndarray) assert result.size == 0 def test_invalid_input_type(self) -> None: """Test that invalid input types raise TypeError.""" with pytest.raises(TypeError): converters.convert_array_to_valid_dtype( "not an array", SignalObj.VALID_DTYPES ) if __name__ == "__main__": pytest.main([__file__]) Sigima-1.1.1/sigima/tests/common/decorator_unit_test.py000066400000000000000000000146741514013333200232670ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """ Testing the decorator for computation functions. This test checks: - The decorator can be applied to a function - The function can be called with and without DataSet parameters - The metadata is correctly set and can be introspected """ from __future__ import annotations import guidata.dataset as gds import numpy as np import pytest from sigima.objects import ImageObj, SignalObj, create_image, create_signal from sigima.proc.base import dst_1_to_1 from sigima.proc.decorator import ( computation_function, get_computation_metadata, is_computation_function, ) from sigima.tests.helpers import check_array_result def this_is_not_a_computation_function() -> None: """A dummy function that is not a computation function.""" def test_non_computation_function_marker() -> None: """Test that a non-computation function is not marked as such.""" assert not is_computation_function(this_is_not_a_computation_function) with pytest.raises(ValueError): get_computation_metadata(this_is_not_a_computation_function) class DummySignalParam(gds.DataSet): """Dummy DataSet for testing purposes""" a = gds.FloatItem("X value", default=1.0) b = gds.FloatItem("Y value", default=5.0) methods = (("linear", "Linear"), ("quadratic", "Quadratic")) method = gds.ChoiceItem("Method", choices=methods, default="linear") SCF_NAME = "dummy_signal_func" SCF_DESCRIPTION = "A dummy signal function" @computation_function(name=SCF_NAME, description=SCF_DESCRIPTION) def dummy_signal_func(src: SignalObj, p: DummySignalParam) -> SignalObj: """A dummy function that adds two parameters from a DataSet. Args: src: The source SignalObj. param: The parameters from the DummySignalParam DataSet. Returns: The signal with the operation applied. """ dst = dst_1_to_1(src, SCF_NAME, f"x={p.a:.3f}, y={p.b:.3f}") if p.method == "linear": dst.y = src.y + src.x * p.a + p.b else: # Quadratic method dst.y = src.y + src.x**2 * p.a + p.b return dst class DummyImageParam(gds.DataSet): """Dummy DataSet for testing purposes""" alpha = gds.FloatItem("Alpha value", default=0.5) ICF_NAME = "dummy_image_func" ICF_DESCRIPTION = "A dummy image function" @computation_function(name=ICF_NAME, description=ICF_DESCRIPTION) def dummy_image_func(src: ImageObj, param: DummyImageParam) -> ImageObj: """A dummy function that applies a simple operation based on a DataSet parameter. Args: src: The source ImageObj. param: The parameters from the DummyImageParam DataSet. Returns: The image with the operation applied. """ dst = dst_1_to_1(src, ICF_NAME, f"sigma={param.alpha:.3f}") dst.data = src.data * param.alpha # Simplified operation for testing return dst def test_signal_decorator_marker() -> None: """Test the computation function decorator marker for signals""" # Check if the function is marked as a computation function assert is_computation_function(dummy_signal_func) def test_signal_decorator_metadata() -> None: """Test the computation function decorator metadata for signals""" # Check if the metadata is correctly set metadata = get_computation_metadata(dummy_signal_func) assert metadata.name == SCF_NAME assert metadata.description == SCF_DESCRIPTION def test_signal_decorator_signature() -> None: """Test the computation function decorator signature for signals""" x = np.linspace(0, 10, 100) orig = create_signal("test_signal", x=x, y=x) # Call the function with a DataSet parameter p = DummySignalParam.create(a=3.0, b=4.0, method="quadratic") res_ds = dummy_signal_func(orig, p) name = "Signal[DataSet parameter]" check_array_result(f"{name} x", res_ds.x, orig.x) check_array_result(f"{name} y", res_ds.y, orig.y + orig.x**2 * 3.0 + 4.0) # Call the function with keyword arguments # pylint: disable=no-value-for-parameter res_kw = dummy_signal_func(orig, a=3.0, b=4.0) name = "Signal[keyword arguments]" check_array_result(f"{name} x", res_kw.x, orig.x) check_array_result(f"{name} y", res_kw.y, orig.y + orig.x * 3.0 + 4.0) # Call the function with both DataSet and keyword arguments # The DataSet should take precedence, kwargs for DataSet items are ignored res_both = dummy_signal_func(orig, p, a=100.0, b=200.0, method="linear") # The result should match the DataSet values, not the conflicting kwargs check_array_result( "Signal[DataSet param + kwargs: DataSet wins] x", res_both.x, orig.x ) check_array_result( "Signal[DataSet param + kwargs: DataSet wins] y", res_both.y, orig.y + orig.x**2 * 3.0 + 4.0, ) def test_image_decorator_marker() -> None: """Test the computation function decorator marker for images""" # Check if the function is marked as a computation function assert is_computation_function(dummy_image_func) def test_image_decorator_metadata() -> None: """Test the computation function decorator metadata for images""" # Check if the metadata is correctly set metadata = get_computation_metadata(dummy_image_func) assert metadata.name == ICF_NAME assert metadata.description == ICF_DESCRIPTION def test_image_decorator_signature() -> None: """Test the computation function decorator signature for images""" orig = create_image("test_image", data=np.random.rand(64, 64)) # Call the function with an ImageObj and DummyImageParam p = DummyImageParam.create(alpha=0.8) res_ds = dummy_image_func(orig, p) check_array_result("Image data", res_ds.data, orig.data * p.alpha) # Call the function with keyword arguments # pylint: disable=no-value-for-parameter res_kw = dummy_image_func(orig, alpha=0.8) check_array_result("Image data", res_kw.data, orig.data * 0.8) # Call the function with both DataSet and keyword arguments # The DataSet should take precedence, kwargs for DataSet items are ignored res_both = dummy_image_func(orig, p, alpha=0.4) check_array_result( "Image data [DataSet param + kwargs: DataSet wins]", res_both.data, orig.data * p.alpha, ) if __name__ == "__main__": test_signal_decorator_marker() test_signal_decorator_metadata() test_signal_decorator_signature() test_image_decorator_marker() test_image_decorator_metadata() test_image_decorator_signature() Sigima-1.1.1/sigima/tests/common/examples_unit_test.py000066400000000000000000000060761514013333200231200ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """ Test for documentation examples This module automatically discovers and executes all Python files in the doc/examples directory to ensure they run without errors. """ from __future__ import annotations import importlib.util import sys from pathlib import Path import pytest import sigima from sigima.client.stub import patch_simpleremoteproxy_for_stub # Check if plotpy is available try: import plotpy # pylint: disable=unused-import # noqa: F401 PLOTPY_AVAILABLE = True except ImportError: PLOTPY_AVAILABLE = False def get_example_dir() -> Path: """Get the path to the examples directory.""" return Path(sigima.__file__).parent.parent / "doc" / "examples" def get_example_files() -> list[Path]: """Get all Python files in doc/examples directory.""" examples_dir = get_example_dir() if not examples_dir.exists(): return [] return [ f for f in examples_dir.glob("*.py") if not f.name.startswith("_") and f.name != "__init__.py" ] def test_examples_directory_exists() -> None: """Test that the examples directory exists and contains Python files.""" examples_dir = get_example_dir() assert examples_dir.exists(), "doc/examples directory should exist" python_files = list(examples_dir.rglob("*.py")) assert len(python_files) > 0, "doc/examples should contain at least one Python file" @pytest.mark.skipif(not PLOTPY_AVAILABLE, reason="PlotPy not installed") @pytest.mark.parametrize("example_file", get_example_files()) def test_example_execution(example_file: Path) -> None: """Test that each example file can be executed without errors.""" # Special handling for datalab_client.py - needs a stub server if example_file.name == "datalab_client.py": # Use the utility to patch SimpleRemoteProxy for stub server stub_server = patch_simpleremoteproxy_for_stub() try: # Load and execute the module _execute_example_module(example_file) finally: # Clean up the stub server stub_server.stop() else: # Normal execution for other examples _execute_example_module(example_file) def _execute_example_module(example_file: Path) -> None: """Execute an example module file. Args: example_file: Path to the example Python file to execute """ # Load the module spec = importlib.util.spec_from_file_location( f"example_{example_file.stem}", str(example_file) ) module = importlib.util.module_from_spec(spec) # Add the example directory to sys.path temporarily examples_dir = str(example_file.parent) if examples_dir not in sys.path: sys.path.insert(0, examples_dir) try: # Execute the module spec.loader.exec_module(module) finally: # Clean up sys.path if examples_dir in sys.path: sys.path.remove(examples_dir) if __name__ == "__main__": # Run the tests when executed directly pytest.main([__file__, "-v"]) Sigima-1.1.1/sigima/tests/common/func_name_injection_unit_test.py000066400000000000000000000022141514013333200252650ustar00rootroot00000000000000"""Test to verify func_name is systematically set by @computation_function decorator""" # Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. import sigima.objects import sigima.params import sigima.proc.signal import sigima.tests.data def test_func_name_auto_injection(): """Verify that @computation_function decorator automatically sets func_name.""" # Create a test signal obj = sigima.tests.data.get_test_signal("fwhm.txt") # Test 1: Function with parameters (fwhm) param = sigima.params.FWHMParam.create(method="gauss") result = sigima.proc.signal.fwhm(obj, param) assert result is not None assert hasattr(result, "func_name") assert result.func_name == "fwhm", f"Expected 'fwhm', got {result.func_name!r}" # Test 2: Function without parameters (fw1e2) result2 = sigima.proc.signal.fw1e2(obj) assert result2 is not None assert hasattr(result2, "func_name") assert result2.func_name == "fw1e2", f"Expected 'fw1e2', got {result2.func_name!r}" print("✓ All func_name auto-injection tests passed!") if __name__ == "__main__": test_func_name_auto_injection() Sigima-1.1.1/sigima/tests/common/kernel_normalization_unit_test.py000066400000000000000000000204751514013333200255270ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """Unit tests for kernel normalization features in convolution/deconvolution.""" from __future__ import annotations import numpy as np import pytest from sigima.config import options as sigima_options from sigima.objects import create_image, create_signal from sigima.objects.image import ImageObj from sigima.objects.signal import SignalObj from sigima.proc.image.mathops import convolution as image_convolution from sigima.proc.image.mathops import deconvolution as image_deconvolution from sigima.proc.signal import convolution as signal_convolution from sigima.proc.signal import deconvolution as signal_deconvolution def _generate_test_signal(size: int = 100) -> SignalObj: """Generate a simple test signal. Args: size: The size of the signal to generate. Returns: A signal object. """ x = np.linspace(0, 10, size) y = np.sin(x) + 0.5 * np.sin(3 * x) return create_signal("Test Signal", x, y) def _generate_unnormalized_signal_kernel(size: int = 100) -> SignalObj: """Generate an unnormalized Gaussian-like kernel for signal processing. Args: size: The size of the kernel. Returns: A signal object representing an unnormalized kernel. Notes: The kernel uses the same x-axis range and size as _generate_test_signal to ensure compatible sample rates for convolution and deconvolution. """ x = np.linspace(0, 10, size) y = np.exp(-((x - 5) ** 2) / 2) # Centered Gaussian y *= 2.0 # Make it unnormalized (sum != 1.0) return create_signal("Unnormalized Kernel", x, y) def _generate_test_image(size: int = 64) -> ImageObj: """Generate a simple test image. Args: size: The dimension of the square image to generate. Returns: An image object. """ data = np.random.rand(size, size) return create_image("Test Image", data) def _generate_unnormalized_image_kernel(size: int = 5) -> ImageObj: """Generate an unnormalized Gaussian-like kernel for image processing. Args: size: The dimension of the square kernel to generate. Returns: An image object representing an unnormalized kernel. """ kernel = np.outer( np.exp(-(np.linspace(-2, 2, size) ** 2)), np.exp(-(np.linspace(-2, 2, size) ** 2)), ) kernel *= 2.0 # Make it unnormalized (sum != 1.0) return create_image("Unnormalized Kernel", kernel) class TestKernelNormalizationSignal: """Test suite for signal kernel normalization in convolution.""" @pytest.fixture(autouse=True) def setup_and_teardown(self): """Store initial option values and restore them after each test.""" # Store initial values initial_auto_normalize = sigima_options.auto_normalize_kernel.get() yield # Restore initial values sigima_options.auto_normalize_kernel.set(initial_auto_normalize) def test_signal_convolution_auto_normalization_enabled(self): """Test that auto-normalization works correctly for convolution.""" # Setup: auto-normalization enabled sigima_options.auto_normalize_kernel.set(True) signal = _generate_test_signal() kernel = _generate_unnormalized_signal_kernel() # Execute with auto-normalization result = signal_convolution(signal, kernel) # Verify result exists and has same shape as input assert result is not None assert result.data is not None assert result.data.shape == signal.data.shape def test_signal_convolution_auto_normalization_disabled(self): """Test convolution with auto-normalization disabled.""" # Setup: auto-normalization disabled sigima_options.auto_normalize_kernel.set(False) signal = _generate_test_signal() kernel = _generate_unnormalized_signal_kernel() # Execute without auto-normalization result = signal_convolution(signal, kernel) # Verify result exists and has same shape as input assert result is not None assert result.data is not None assert result.data.shape == signal.data.shape def test_signal_deconvolution_auto_normalization_enabled(self): """Test that auto-normalization works correctly for deconvolution.""" # Setup: auto-normalization enabled sigima_options.auto_normalize_kernel.set(True) signal = _generate_test_signal() kernel = _generate_unnormalized_signal_kernel() # Execute with auto-normalization result = signal_deconvolution(signal, kernel) # Verify result exists and has same shape as input assert result is not None assert result.data is not None assert result.data.shape == signal.data.shape def test_signal_deconvolution_auto_normalization_disabled(self): """Test deconvolution with auto-normalization disabled.""" # Setup: auto-normalization disabled sigima_options.auto_normalize_kernel.set(False) signal = _generate_test_signal() kernel = _generate_unnormalized_signal_kernel() # Execute without auto-normalization result = signal_deconvolution(signal, kernel) # Verify result exists and has same shape as input assert result is not None assert result.data is not None assert result.data.shape == signal.data.shape class TestKernelNormalizationImage: """Test suite for image kernel normalization in convolution and deconvolution.""" @pytest.fixture(autouse=True) def setup_and_teardown(self): """Store initial option values and restore them after each test.""" # Store initial values initial_auto_normalize = sigima_options.auto_normalize_kernel.get() yield # Restore initial values sigima_options.auto_normalize_kernel.set(initial_auto_normalize) def test_image_convolution_auto_normalization_enabled(self): """Test that auto-normalization works correctly for convolution.""" # Setup: auto-normalization enabled sigima_options.auto_normalize_kernel.set(True) image = _generate_test_image() kernel = _generate_unnormalized_image_kernel() # Execute with auto-normalization result = image_convolution(image, kernel) # Verify result exists and has same shape as input assert result is not None assert result.data is not None assert result.data.shape == image.data.shape def test_image_convolution_auto_normalization_disabled(self): """Test convolution with auto-normalization disabled.""" # Setup: auto-normalization disabled sigima_options.auto_normalize_kernel.set(False) image = _generate_test_image() kernel = _generate_unnormalized_image_kernel() # Execute without auto-normalization result = image_convolution(image, kernel) # Verify result exists and has same shape as input assert result is not None assert result.data is not None assert result.data.shape == image.data.shape def test_image_deconvolution_auto_normalization_enabled(self): """Test that auto-normalization works correctly for deconvolution.""" # Setup: auto-normalization enabled sigima_options.auto_normalize_kernel.set(True) image = _generate_test_image() kernel = _generate_unnormalized_image_kernel() # Execute with auto-normalization result = image_deconvolution(image, kernel) # Verify result exists and has same shape as input assert result is not None assert result.data is not None assert result.data.shape == image.data.shape def test_image_deconvolution_auto_normalization_disabled(self): """Test deconvolution with auto-normalization disabled.""" # Setup: auto-normalization disabled sigima_options.auto_normalize_kernel.set(False) image = _generate_test_image() kernel = _generate_unnormalized_image_kernel() # Execute without auto-normalization result = image_deconvolution(image, kernel) # Verify result exists and has same shape as input assert result is not None assert result.data is not None assert result.data.shape == image.data.shape if __name__ == "__main__": pytest.main([__file__, "-v"]) Sigima-1.1.1/sigima/tests/common/roi_basic_unit_test.py000066400000000000000000000042461514013333200232310ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """ ROI basic unit tests """ # pylint: disable=invalid-name # Allows short reference names like x, y, ... # guitest: show from __future__ import annotations import sigima.objects from sigima.tests.data import ( create_multigaussian_image, create_paracetamol_signal, create_test_image_rois, create_test_signal_rois, ) from sigima.tests.env import execenv def __conversion_methods( roi: sigima.objects.SignalROI | sigima.objects.ImageROI, obj: sigima.objects.SignalObj | sigima.objects.ImageObj, ) -> None: """Test conversion methods for single ROI objects""" execenv.print(" test `to_dict` and `from_dict` methods") roi_dict = roi.to_dict() roi_new = obj.get_roi_class().from_dict(roi_dict) assert roi.get_single_roi(0) == roi_new.get_single_roi(0) def test_signal_roi_creation() -> None: """Test signal ROI creation and conversion methods""" obj = create_paracetamol_signal() for roi in create_test_signal_rois(obj): __conversion_methods(roi, obj) def test_image_roi_creation() -> None: """Test image ROI creation and conversion methods""" obj = create_multigaussian_image() # Update to use new coordinate API instead of setting dx/dy directly if obj.data is not None: obj.set_uniform_coords(0.035, 0.035) for roi in create_test_image_rois(obj): __conversion_methods(roi, obj) def test_image_roi_modification() -> None: """Test image ROI modification methods""" obj = create_multigaussian_image() roi = list(create_test_image_rois(obj))[0] # Set image's ROI obj.roi = roi assert obj.roi == roi nb_single_rois = len(roi.single_rois) # Modify the ROI directly from the image's ROI attribute # (for example, we try to remove a single ROI) old_single_roi = obj.roi.single_rois.pop(0) assert len(obj.roi.single_rois) == nb_single_rois - 1 # Add it back obj.roi.add_roi(old_single_roi) assert len(obj.roi.single_rois) == nb_single_rois if __name__ == "__main__": test_signal_roi_creation() test_image_roi_creation() test_image_roi_modification() Sigima-1.1.1/sigima/tests/common/roi_geometry_unit_test.py000066400000000000000000000124571514013333200240060ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """Test ROI geometry transformations""" import numpy as np from sigima.objects.image import ImageObj, ImageROI, RectangularROI from sigima.proc.image import fliph, flipv, rotate90, rotate270, transpose from sigima.tests.env import execenv def test_roi_rotate90() -> None: """Test ROI transformation with 90° rotation.""" # Create test image data = np.random.rand(100, 80) # Height=100, Width=80 img = ImageObj(title="Test Image") img.data = data # Create rectangular ROI roi_obj = ImageROI() single_roi = RectangularROI([10, 20, 20, 20], indices=False) # x0, y0, dx, dy roi_obj.add_roi(single_roi) img.roi = roi_obj # Apply rotation img_rotated = rotate90(img) roi_rotated = img_rotated.roi.single_rois[0] # Verify ROI is properly transformed and dimensions change assert img_rotated.roi is not None, "90° rotation should preserve ROI object" assert len(img_rotated.roi.single_rois) == 1, ( "90° rotation should preserve ROI count" ) # The exact coordinates depend on the transformation, but the ROI should be valid coords_rotated = roi_rotated.get_physical_coords(img_rotated) assert len(coords_rotated) == 4, "Rectangular ROI should have 4 coordinates" def test_roi_rotate270() -> None: """Test ROI transformation with 270° rotation.""" # Create test image data = np.random.rand(100, 80) img = ImageObj(title="Test Image") img.data = data # Create rectangular ROI roi_obj = ImageROI() single_roi = RectangularROI([10, 20, 20, 20], indices=False) roi_obj.add_roi(single_roi) img.roi = roi_obj # Apply rotation img_rotated = rotate270(img) # Verify ROI is properly transformed assert img_rotated.roi is not None, "270° rotation should preserve ROI object" assert len(img_rotated.roi.single_rois) == 1, ( "270° rotation should preserve ROI count" ) def test_roi_fliph() -> None: """Test ROI transformation with horizontal flip.""" # Create test image data = np.random.rand(100, 80) img = ImageObj(title="Test Image") img.data = data # Create rectangular ROI roi_obj = ImageROI() single_roi = RectangularROI([10, 20, 20, 20], indices=False) roi_obj.add_roi(single_roi) img.roi = roi_obj # Apply flip img_flipped = fliph(img) # Verify ROI is properly transformed assert img_flipped.roi is not None, "Horizontal flip should preserve ROI object" assert len(img_flipped.roi.single_rois) == 1, ( "Horizontal flip should preserve ROI count" ) def test_roi_flipv() -> None: """Test ROI transformation with vertical flip.""" # Create test image data = np.random.rand(100, 80) img = ImageObj(title="Test Image") img.data = data # Create rectangular ROI roi_obj = ImageROI() single_roi = RectangularROI([10, 20, 20, 20], indices=False) roi_obj.add_roi(single_roi) img.roi = roi_obj # Apply flip img_flipped = flipv(img) # Verify ROI is properly transformed assert img_flipped.roi is not None, "Vertical flip should preserve ROI object" assert len(img_flipped.roi.single_rois) == 1, ( "Vertical flip should preserve ROI count" ) def test_roi_transpose() -> None: """Test ROI transformation with transpose.""" # Create test image data = np.random.rand(100, 80) img = ImageObj(title="Test Image") img.data = data # Create rectangular ROI roi_obj = ImageROI() single_roi = RectangularROI([10, 20, 20, 20], indices=False) roi_obj.add_roi(single_roi) img.roi = roi_obj # Apply transpose img_transposed = transpose(img) # Verify ROI is properly transformed assert img_transposed.roi is not None, "Transpose should preserve ROI object" assert len(img_transposed.roi.single_rois) == 1, ( "Transpose should preserve ROI count" ) def test_roi_comprehensive() -> None: """Comprehensive test for all ROI transformations.""" execenv.print("Testing ROI geometry transformations:") # Create test image data = np.random.rand(100, 80) # Height=100, Width=80 img = ImageObj(title="Test Image") img.data = data # Create rectangular ROI roi_obj = ImageROI() single_roi = RectangularROI([10, 20, 20, 20], indices=False) roi_obj.add_roi(single_roi) img.roi = roi_obj coords_original = single_roi.get_physical_coords(img) execenv.print(f" Original ROI: {coords_original}") # Test all transformations transformations = [ (rotate90, "rotate90"), (rotate270, "rotate270"), (fliph, "fliph"), (flipv, "flipv"), (transpose, "transpose"), ] for transform_func, name in transformations: img_transformed = transform_func(img) roi_transformed = img_transformed.roi.single_rois[0] coords_transformed = roi_transformed.get_physical_coords(img_transformed) execenv.print(f" {name}: {coords_transformed}") # Verify ROI is properly transformed assert img_transformed.roi is not None, f"{name} should preserve ROI object" assert len(img_transformed.roi.single_rois) == 1, ( f"{name} should preserve ROI count" ) execenv.print(" ✅ All ROI transformations working correctly") Sigima-1.1.1/sigima/tests/common/scalar_builder_unit_test.py000066400000000000000000000212211514013333200242420ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """ Unit tests for TableResultBuilder (sigima.objects.scalar). """ from numpy import ma from sigima.objects import ( NO_ROI, SignalObj, TableKind, TableResultBuilder, create_signal_roi, ) from sigima.tests.data import create_paracetamol_signal, create_test_signal_rois def create_dummy_signal() -> SignalObj: """Create a simple SignalObj with a single ROI.""" sig = create_paracetamol_signal() roi = list(create_test_signal_rois(sig))[0] sig.roi = roi return sig class TestTableResultBuilder: """Test class for TableResultBuilder basic functionality.""" def test_basic_functionality(self) -> None: """Test basic TableResultBuilder API with a SignalObj.""" sig = create_dummy_signal() builder = TableResultBuilder("Signal Stats") builder.add(ma.min, "min") builder.add(ma.max, "max") builder.add(ma.mean, "mean") table = builder.compute(sig) assert table.title == "Signal Stats" # [None, ROI_0] x 3 stats assert len(table.data) == 2 and len(table.data[0]) == 3 assert list(table.headers) == ["min", "max", "mean"] assert table.roi_indices[0] == -1 # NO_ROI assert table.roi_indices[1] == 0 # Check actual values row_none = table.data[0] row_roi = table.data[1] assert isinstance(row_none[0], float) assert isinstance(row_roi[1], float) class TestTableResultBuilderHideColumns: """Test class for TableResultBuilder hide_columns functionality.""" def setup_method(self) -> None: """Set up test data for each test method.""" # pylint: disable=attribute-defined-outside-init self.sig = create_dummy_signal() def _create_basic_builder(self) -> TableResultBuilder: """Helper method to create a basic builder with standard columns.""" builder = TableResultBuilder("Signal Stats") builder.add(ma.min, "min") builder.add(ma.max, "max") builder.add(ma.mean, "mean") builder.add(ma.std, "std") return builder def _assert_display_preferences( self, table, expected_prefs: dict[str, bool] ) -> None: """Helper method to check display preferences and visible headers.""" prefs = table.get_display_preferences() assert prefs == expected_prefs expected_visible = [name for name, visible in expected_prefs.items() if visible] visible_headers = table.get_visible_headers() assert set(visible_headers) == set(expected_visible) def test_hide_some_columns(self) -> None: """Test hiding some columns.""" builder = self._create_basic_builder() builder.hide_columns(["max", "std"]) table = builder.compute(self.sig) assert table.title == "Signal Stats" # All headers still present assert list(table.headers) == ["min", "max", "mean", "std"] self._assert_display_preferences( table, {"min": True, "max": False, "mean": True, "std": False} ) def test_hide_nonexistent_columns(self) -> None: """Test hiding non-existent columns.""" builder = TableResultBuilder("Signal Stats") builder.add(ma.min, "min") builder.add(ma.max, "max") # Try to hide non-existent column - should not cause error builder.hide_columns(["nonexistent", "min"]) table = builder.compute(self.sig) self._assert_display_preferences(table, {"min": False, "max": True}) def test_hide_empty_list(self) -> None: """Test hiding empty list of columns.""" builder = TableResultBuilder("Signal Stats") builder.add(ma.min, "min") builder.add(ma.max, "max") builder.hide_columns([]) table = builder.compute(self.sig) self._assert_display_preferences(table, {"min": True, "max": True}) def test_hide_multiple_calls(self) -> None: """Test multiple hide_columns calls accumulate.""" builder = self._create_basic_builder() # Hide columns in multiple calls builder.hide_columns(["max"]) builder.hide_columns(["std"]) table = builder.compute(self.sig) self._assert_display_preferences( table, {"min": True, "max": False, "mean": True, "std": False} ) def test_hide_all_columns(self) -> None: """Test hiding all columns.""" builder = TableResultBuilder("Signal Stats") builder.add(ma.min, "min") builder.add(ma.max, "max") builder.hide_columns(["min", "max"]) table = builder.compute(self.sig) self._assert_display_preferences(table, {"min": False, "max": False}) class TestTableResultBuilderROIComputationModes: """Test class for TableResultBuilder ROI computation modes.""" def setup_method(self) -> None: """Set up test data for each test method.""" # pylint: disable=attribute-defined-outside-init # Create signal with multiple ROIs (3 segments) self.sig = create_paracetamol_signal() # Create a ROI with 3 segments manually roi = create_signal_roi([[10, 20], [30, 40], [50, 60]], indices=False) self.sig.roi = roi def test_statistics_computes_whole_and_rois(self) -> None: """Test STATISTICS kind computes both whole object and ROIs.""" builder = TableResultBuilder("Signal Statistics", kind=TableKind.STATISTICS) builder.add(ma.min, "min") builder.add(ma.max, "max") table = builder.compute(self.sig) # Should have results for whole object (NO_ROI) + 3 ROIs = 4 rows assert len(table.data) == 4 assert table.roi_indices[0] == NO_ROI # First row is whole object assert table.roi_indices[1] == 0 # Then ROI 0 assert table.roi_indices[2] == 1 # Then ROI 1 assert table.roi_indices[3] == 2 # Then ROI 2 def test_pulse_features_computes_only_rois(self) -> None: """Test PULSE_FEATURES kind computes ONLY ROIs when they exist.""" builder = TableResultBuilder("Pulse Features", kind=TableKind.PULSE_FEATURES) builder.add(ma.min, "min") builder.add(ma.max, "max") table = builder.compute(self.sig) # Should have results ONLY for ROIs (no whole object), so 3 rows assert len(table.data) == 3 assert table.roi_indices[0] == 0 # First row is ROI 0 assert table.roi_indices[1] == 1 # Then ROI 1 assert table.roi_indices[2] == 2 # Then ROI 2 # Verify NO_ROI is not present assert NO_ROI not in table.roi_indices def test_pulse_features_computes_whole_when_no_rois(self) -> None: """Test PULSE_FEATURES kind computes whole object when no ROIs exist.""" # Remove ROI from signal sig_no_roi = create_paracetamol_signal() builder = TableResultBuilder("Pulse Features", kind=TableKind.PULSE_FEATURES) builder.add(ma.min, "min") builder.add(ma.max, "max") table = builder.compute(sig_no_roi) # Should have result for whole object only (1 row) assert len(table.data) == 1 assert table.roi_indices[0] == NO_ROI def test_custom_kind_default_behavior(self) -> None: """Test CUSTOM kind uses default behavior (whole + ROIs like STATISTICS).""" builder = TableResultBuilder("Custom Results", kind=TableKind.CUSTOM) builder.add(ma.min, "min") builder.add(ma.max, "max") table = builder.compute(self.sig) # Should have results for whole object + ROIs = 4 rows (same as STATISTICS) assert len(table.data) == 4 assert table.roi_indices[0] == NO_ROI assert table.roi_indices[1] == 0 assert table.roi_indices[2] == 1 assert table.roi_indices[3] == 2 def test_string_kind_pulse_features(self) -> None: """Test using string 'pulse_features' as kind value.""" builder = TableResultBuilder("Pulse Features", kind="pulse_features") builder.add(ma.min, "min") builder.add(ma.max, "max") table = builder.compute(self.sig) # Should behave like PULSE_FEATURES enum: only ROIs, no whole object assert len(table.data) == 3 assert NO_ROI not in table.roi_indices def test_string_kind_statistics(self) -> None: """Test using string 'statistics' as kind value.""" builder = TableResultBuilder("Signal Statistics", kind="statistics") builder.add(ma.min, "min") builder.add(ma.max, "max") table = builder.compute(self.sig) # Should behave like STATISTICS enum: whole + ROIs assert len(table.data) == 4 assert table.roi_indices[0] == NO_ROI Sigima-1.1.1/sigima/tests/common/scalar_unit_test.py000066400000000000000000001416751514013333200225540ustar00rootroot00000000000000# Copyright (c) DataLab Platform Developers, BSD 3-Clause license, see LICENSE file. """ Unit tests for scalar computation functions (GeometryResult transformations). """ from __future__ import annotations import numpy as np import pandas as pd import pytest from sigima.objects import ( NO_ROI, GeometryResult, KindShape, TableResult, calc_table_from_data, concat_geometries, concat_tables, filter_geometry_by_roi, filter_table_by_roi, ) from sigima.proc.image import transformer def create_rectangle(x0=0.0, y0=0.0, w=1.0, h=1.0) -> GeometryResult: """Create a simple rectangle GeometryResult.""" coords = np.array([[x0, y0, w, h]], dtype=float) return GeometryResult("rect", "rectangle", coords) class TestGeometryTransformations: """Test class for geometry transformation functions.""" def test_rotate(self) -> None: """Test rotation of a rectangle geometry result.""" rect = create_rectangle(0.0, 0.0, 1.0, 2.0) rotated = transformer.rotate(rect, np.pi / 2, center=(0.5, 1.0)) expected_coords = np.array([[-0.5, 0.5, 2.0, 1.0]]) assert rotated.coords.shape == rect.coords.shape assert np.allclose(rotated.coords, expected_coords) def test_fliph(self) -> None: """Test horizontal flip and its reversibility.""" rect = create_rectangle(1.0, 2.0, 2.0, 3.0) flipped = transformer.fliph(rect, cx=2.0) flipped_back = transformer.fliph(flipped, cx=2.0) np.testing.assert_allclose(flipped_back.coords, rect.coords, rtol=1e-12) def test_flipv(self) -> None: """Test vertical flip and its reversibility.""" rect = create_rectangle(1.0, 2.0, 2.0, 3.0) flipped = transformer.flipv(rect, cy=3.5) flipped_back = transformer.flipv(flipped, cy=3.5) np.testing.assert_allclose(flipped_back.coords, rect.coords, rtol=1e-12) def test_translate(self) -> None: """Test translation of a geometry result.""" rect = create_rectangle() translated = transformer.translate(rect, 1.5, -2.0) expected = rect.coords + np.array([1.5, -2.0, 0.0, 0.0]) np.testing.assert_allclose(translated.coords, expected, rtol=1e-12) def test_scale(self) -> None: """Test scaling and inverse scaling of a geometry result.""" rect = create_rectangle(1.0, 1.0, 2.0, 2.0) scaled = transformer.scale(rect, 2.0, 0.5, center=(2.0, 2.0)) unscaled = transformer.scale(scaled, 0.5, 2.0, center=(2.0, 2.0)) np.testing.assert_allclose(unscaled.coords, rect.coords, rtol=1e-12) def test_transpose(self) -> None: """Test transpose and double-transpose (should restore original).""" rect = create_rectangle(1.0, 2.0, 3.0, 4.0) transposed = transformer.transpose(rect) transposed_back = transformer.transpose(transposed) np.testing.assert_allclose(transposed_back.coords, rect.coords, rtol=1e-12) class TestTableResultInitialization: """Test class for TableResult initialization and validation.""" def test_init_valid(self) -> None: """Test TableResult initialization with valid data.""" data = [[1.0, 2.0], [3.0, 4.0]] roi_indices = [0, 1] table = TableResult( title="Test Table", headers=["col1", "col2"], data=data, roi_indices=roi_indices, attrs={"method": "test"}, ) assert table.title == "Test Table" assert list(table.headers) == ["col1", "col2"] assert table.data == data assert table.roi_indices == roi_indices assert table.attrs == {"method": "test"} def test_init_invalid_title(self) -> None: """Test TableResult initialization with invalid title.""" with pytest.raises(ValueError, match="title must be a non-empty string"): TableResult(title="", headers=["col"], data=[[1]]) def test_init_invalid_names(self) -> None: """Test TableResult initialization with invalid headers.""" with pytest.raises(ValueError, match="names must be a sequence of strings"): TableResult(title="Test", headers=[1, 2], data=[[1, 2]]) def test_init_invalid_data_shape(self) -> None: """Test TableResult initialization with invalid data shape.""" with pytest.raises(ValueError, match="data must be a list of lists"): TableResult(title="Test", headers=["col"], data=[1, 2, 3]) def test_init_invalid_data_columns(self) -> None: """Test TableResult initialization with mismatched data columns.""" with pytest.raises(ValueError, match="data columns must match names length"): TableResult(title="Test", headers=["col1", "col2"], data=[[1, 2, 3]]) def test_init_invalid_roi_indices(self) -> None: """Test TableResult initialization with mismatched ROI indices length.""" with pytest.raises( ValueError, match="roi_indices length must match number of data rows" ): TableResult( title="Test", headers=["col1", "col2"], data=[[1, 2], [3, 4]], roi_indices=[0], ) def test_init_invalid_roi_indices_type(self) -> None: """Test TableResult initialization with invalid roi_indices type.""" with pytest.raises(ValueError, match="roi_indices must be a list if provided"): TableResult( title="Test", headers=["col1", "col2"], data=[[1, 2], [3, 4]], roi_indices=(0, 1), ) def test_init_invalid_roi_indices_2d(self) -> None: """Test TableResult initialization with 2D roi_indices.""" with pytest.raises(ValueError, match="roi_indices must be a list if provided"): TableResult( title="Test", headers=["col1", "col2"], data=[[1, 2], [3, 4]], roi_indices=[[0], [1]], ) def test_from_dataframe(self) -> None: """Test TableResult.from_dataframe factory method.""" # Test without roi_index column df = pd.DataFrame({"col1": [1.0, 2.0], "col2": [3.0, 4.0]}) result = TableResult.from_dataframe(df, title="Test DataFrame") assert result.title == "Test DataFrame" assert list(result.headers) == ["col1", "col2"] # DataFrame converts row-wise: row 0 has [1.0, 3.0], row 1 has [2.0, 4.0] assert result.data == [[1.0, 3.0], [2.0, 4.0]] assert result.roi_indices is None # Test with roi_index column df_with_roi = pd.DataFrame( {"col1": [1.0, 2.0], "col2": [3.0, 4.0], "roi_index": [0, 1]} ) result_with_roi = TableResult.from_dataframe( df_with_roi, title="Test DataFrame with ROI" ) assert result_with_roi.title == "Test DataFrame with ROI" assert list(result_with_roi.headers) == ["col1", "col2"] assert result_with_roi.data == [[1.0, 3.0], [2.0, 4.0]] assert result_with_roi.roi_indices == [0, 1] # Test with attrs result_with_attrs = TableResult.from_dataframe( df, title="Test with Attrs", attrs={"method": "test"} ) assert result_with_attrs.attrs == {"method": "test"} # Test with invalid input (not a DataFrame) with pytest.raises(TypeError, match="df must be a pandas DataFrame"): TableResult.from_dataframe([[1, 2]], title="Invalid") class TestTableResultFactory: """Test class for TableResult factory methods.""" def test_from_rows(self) -> None: """Test TableResult.from_rows factory method.""" result = TableResult.from_rows( title="Test", headers=["col1", "col2"], rows=[[1.0, 2.0], [3.0, 4.0]], roi_indices=[0, 1], attrs={"method": "test"}, ) assert result.title == "Test" assert list(result.headers) == ["col1", "col2"] assert result.data == [[1.0, 2.0], [3.0, 4.0]] assert result.roi_indices == [0, 1] assert result.attrs == {"method": "test"} class TestTableResultSerialization: """Test class for TableResult serialization methods.""" def test_to_dict(self) -> None: """Test TableResult.to_dict serialization.""" table = TableResult( title="Test Table", headers=["col1", "col2"], data=[[1.0, 2.0], [3.0, 4.0]], roi_indices=[0, 1], attrs={"method": "test"}, ) expected = { "schema": 1, "title": "Test Table", "kind": "results", "names": ["col1", "col2"], "data": [[1.0, 2.0], [3.0, 4.0]], "roi_indices": [0, 1], "func_name": None, "attrs": {"method": "test"}, } assert table.to_dict() == expected def test_from_dict(self) -> None: """Test TableResult.from_dict deserialization.""" data = { "title": "Test Table", "kind": "results", "names": ["col1", "col2"], "data": [[1.0, 2.0], [3.0, 4.0]], "roi_indices": [0, 1], "attrs": {"method": "test"}, } table = TableResult.from_dict(data) assert table.title == "Test Table" assert list(table.headers) == ["col1", "col2"] assert table.data == [[1.0, 2.0], [3.0, 4.0]] assert table.roi_indices == [0, 1] assert table.attrs == {"method": "test"} def test_to_html(self) -> None: """Test TableResult.to_html serialization.""" table = TableResult( title="Test Table", headers=["col1", "col2"], data=[[1.0, 2.0], [3.0, 4.0]], ) html = table.to_html() assert " None: """Test TableResult._repr_html_ for Jupyter notebook display.""" table = TableResult( title="Test Table", headers=["col1", "col2"], data=[[1.0, 2.0], [3.0, 4.0]], ) html = table._repr_html_() # pylint: disable=protected-access # Check that CSS styling is included assert "