diff --git a/.github/workflows/documentation.yml b/.github/workflows/documentation.yml new file mode 100644 index 0000000..2044074 --- /dev/null +++ b/.github/workflows/documentation.yml @@ -0,0 +1,47 @@ +name: Documentation + +on: + push: + branches: + - 'master' + pull_request: + types: + - closed + branches: + - 'master' + +permissions: + contents: write + +concurrency: + group: ${{ github.ref }} + cancel-in-progress: true + +jobs: + docs: + runs-on: ubuntu-latest + + steps: + - uses: actions/checkout@v4 + - uses: actions/setup-python@v5 + - name: Install dependencies + run: | + pip install sphinx sphinx_rtd_theme myst_parser furo sphinx_subfigure numpydoc + pip install -e . + + - name: Generate documentation figures + run: | + python docs/documentation_figures.py + + - name: Sphinx build + run: | + sphinx-build docs/source _build + + - name: Deploy to GitHub Pages + uses: peaceiris/actions-gh-pages@v3 + if: ${{ github.event_name == 'push' && github.ref == 'refs/heads/master' }} + with: + publish_branch: gh-pages + github_token: ${{ secrets.GITHUB_TOKEN }} + publish_dir: _build/ + force_orphan: true diff --git a/docs/documentation_figures.ipynb b/docs/documentation_figures.ipynb deleted file mode 100644 index 8fe776c..0000000 --- a/docs/documentation_figures.ipynb +++ /dev/null @@ -1,1348 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 1, - "id": "7e49e967-798a-4a86-a15e-d00ace764db5", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "1.6.0\n" - ] - } - ], - "source": [ - "import numpy as np\n", - "import matplotlib.pyplot as plt\n", - "\n", - "import powerlaw\n", - "import os\n", - "\n", - "print(powerlaw.__version__)\n", - "\n", - "# Since we have to save lots of figures\n", - "def savefig(fname):\n", - " plt.savefig(os.path.join('source/images/', fname), bbox_inches='tight')" - ] - }, - { - "cell_type": "markdown", - "id": "0753d16b-05b4-472f-a8c4-4979fdc860fb", - "metadata": { - "jp-MarkdownHeadingCollapsed": true - }, - "source": [ - "## Loading data" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "9bfafdc2-e635-4fc1-a0bb-510dfde6202a", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "powerlaw.plot_test_datasets()\n", - "savefig('test_datasets.png')" - ] - }, - { - "cell_type": "markdown", - "id": "d17a5fd8-a3dc-44ac-a560-cba257629c29", - "metadata": { - "jp-MarkdownHeadingCollapsed": true - }, - "source": [ - "## Visualization" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "id": "e2022dbc-4c90-4467-9729-ccacdac6c54e", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "data = powerlaw.load_test_dataset('words')\n", - "\n", - "# These accept matplotlib plot keywords like 'label'\n", - "powerlaw.plot_pdf(data, label='PDF')\n", - "powerlaw.plot_cdf(data, label='CDF')\n", - "powerlaw.plot_ccdf(data, label='CCDF')\n", - "plt.legend()\n", - "plt.title('words')\n", - "plt.gcf().set_size_inches((4.5,4.5))\n", - "savefig('words_dists.png')\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 25, - "id": "8ce9e9fe-ea37-43ea-9dd9-e242270705eb", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "data = powerlaw.load_test_dataset('blackouts')\n", - "\n", - "powerlaw.plot_pdf(data / 1e3, linear_bins=False, label='PDF')\n", - "plt.legend()\n", - "plt.title('blackouts')\n", - "plt.gcf().set_size_inches((3.5,3.5))\n", - "savefig('blackouts_pdf.png')\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 26, - "id": "b7d412ed-3478-4f02-a8cb-57bb89f9e08e", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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AEuEEAEuEEwAsEU4AsEQ4AcAS4QQAS4QTACwRTgCwRDgBwBLhBABLhBMALBFOALBEOAHAEuEEAEuEEwAsEU4AsNTlwllcXKzJkycrJSVFI0aM0F//+ldfTwkA3IT4egJNhYSE6Pnnn9eoUaNUVlamMWPG6Lvf/a6ioqJ8PTUAkNQFw5mYmKjExERJUnx8vOLi4vTll18STgBdhvWm+vvvv6/p06crKSlJDodDmzZtajbmxRdfVHJyssLDw5WWlqZdu3Zd1eQ+/PBDNTQ0qH///lf1fADwButwVlVVaeTIkXrhhRdafPy1117TggUL9Pjjj+tf//qXbrrpJk2dOlUnTpxwjUlLS1Nqamqzv5KSEteY8vJy3XvvvVq1atVVLBYAeI/1pvrUqVM1derUVh9/7rnndP/99+uBBx6QJD3//PPatm2b8vLytHz5cklSQUGBx/eoqanRzJkz9dhjj2nChAltjq2pqXHdrqysbO+iAMBV6dC96pcvX1ZBQYEyMzPd7s/MzNSePXva9RrGGGVnZ+vmm2/WnDlz2hy/fPlyOZ1O1x+b9QC8rUPDefbsWdXX16tv375u9/ft21elpaXteo3du3frtdde06ZNmzRq1CiNGjVKhw8fbnX8Y489poqKCtdfcXHxNS0DALTFK3vVHQ6H221jTLP7WjNx4kQ1NDS0+73CwsIUFhZmNT8AuBYd+omzT58+Cg4ObvbpsqysrNmnUADorjo0nD169FBaWpry8/Pd7s/Pz29zJ09XMe33/9SgxW/pB3l7ZIzx9XQAdEHWm+pfffWVPv30U9ftY8eO6dChQ4qLi9OAAQO0cOFCzZkzR+np6Ro/frxWrVqlEydOaO7cuR06cW8r+Pycr6cAoIuyDueHH36ojIwM1+2FCxdKku677z6tW7dOd911l8rLy/XUU0/p1KlTSk1N1datWzVw4MCOmzUA+JDD+Nn2aGVlpZxOpyoqKhQbG9vm+EGL32r1sc+e+a6Cgtq3UwtA92bTji53diQA6OoIJwBYIpwe+NV3GAA6jN+EMzc3VykpKRo7dqyvpwLAz/lNOHNyclRUVKQDBw502Gv62X4zAB3Eb8IJAJ2FcAKAJcLpARvqAFpCOAHAEuEEAEuE0wN2qgNoCeEEAEuEEwAsEU4PDPvVAbSAcAKAJb8JJ79VB9BZ/Cac3vmteoe9FAA/4jfhBIDOQjgBwBLhBABLhBMALBFOALBEOD1grzqAlhBOALBEOAHAEuH0gN+qA2gJ4QQAS4QTACwRTg/Yqw6gJYQTACz5TTg5rRyAzuI34fTKaeU67JUA+BO/CScAdBbCCQCWCKcHht3qAFpAOAHAEuEEAEuE0wM21AG0hHACgCXC6QH7hgC0hHACgCXCCQCWCKcnbKoDaAHhBABLhBMALBFOD7jmEICW+E04OR8ngM7iN+H0xvk4AaAlfhNOb+AAeAAtIZwAYIlwAoAlwukBW+oAWkI4AcAS4QQAS4TTA645BKAlhBMALBFOALBEOD1gQx1ASwgnAFginABgiXB6wE51AC0hnABgiXACgCXC6QFngAfQEsIJAJb8JpxcOgNAZ/GbcHrl0hlsqQNogd+EEwA6C+EEAEuE04Oqy/WqqqnTpdp61Tew3Q7gihBfT6Ary/jNDtf/vun6Plp//zjfTQZAl8EnTgCwFPCfOP+x4CZt+b8lOnnuovrHRSqpZ4RSk5wKCpLqG4yMkWIjQtUnuoevpwqgiwj4cA5NiNXQhFhfTwNAN8KmOgBYIpwAYIlwAoAlwgkAlggnAFginABgiXACgCXCCQCW/O4AePP/L01ZWVnp45kA6E4am2HacXlbvwvnhQsXJEn9+/f38UwAdEcXLlyQ0+n0OMZh2pPXbqShoUElJSWKiYmRw+Foc3xlZaX69++v4uJixcYG7k8vWQ9XsB6uCMT1YIzRhQsXlJSUpKAgz99i+t0nzqCgIPXr18/6ebGxsQHzH4gnrIcrWA9XBNp6aOuTZiN2DgGAJcIJAJYCPpxhYWFaunSpwsLCfD0Vn2I9XMF6uIL14Jnf7RwCAG8L+E+cAGCLcAKAJcIJAJYIJwBYIpwAYCngw/niiy8qOTlZ4eHhSktL065du3w9pauyfPlyjR07VjExMYqPj9eMGTN09OhRtzHGGC1btkxJSUmKiIjQ5MmTdeTIEbcxNTU1euihh9SnTx9FRUXpe9/7nr744gu3MefOndOcOXPkdDrldDo1Z84cnT9/3tuLeFWWL18uh8OhBQsWuO4LlPVw8uRJ3XPPPerdu7ciIyM1atQoFRQUuB4PlPXgFSaAbdy40YSGhprVq1eboqIiM3/+fBMVFWU+//xzX0/N2m233WbWrl1rCgsLzaFDh8wdd9xhBgwYYL766ivXmBUrVpiYmBjz+uuvm8OHD5u77rrLJCYmmsrKSteYuXPnmuuuu87k5+ebgwcPmoyMDDNy5EhTV1fnGnP77beb1NRUs2fPHrNnzx6Tmppqpk2b1qnL2x779+83gwYNMiNGjDDz58933R8I6+HLL780AwcONNnZ2eaDDz4wx44dM++884759NNPXWMCYT14S0CH84YbbjBz5851u2/o0KFm8eLFPppRxykrKzOSzM6dO40xxjQ0NJiEhASzYsUK15hLly4Zp9Np/vCHPxhjjDl//rwJDQ01GzdudI05efKkCQoKMv/4xz+MMcYUFRUZSWbfvn2uMXv37jWSzMcff9wZi9YuFy5cMNdff73Jz883kyZNcoUzUNbDokWLzMSJE1t9PFDWg7cE7Kb65cuXVVBQoMzMTLf7MzMztWfPHh/NquNUVFRIkuLi4iRJx44dU2lpqdvyhoWFadKkSa7lLSgoUG1trduYpKQkpaamusbs3btXTqdT48aNc4359re/LafT2aXWW05Oju644w7dcsstbvcHynrYvHmz0tPT9cMf/lDx8fEaPXq0Vq9e7Xo8UNaDtwRsOM+ePav6+nr17dvX7f6+ffuqtLTUR7PqGMYYLVy4UBMnTlRqaqokuZbJ0/KWlpaqR48e6tWrl8cx8fHxzd4zPj6+y6y3jRs36uDBg1q+fHmzxwJlPXz22WfKy8vT9ddfr23btmnu3Ln66U9/qpdeeklS4KwHb/G708rZanrOTmNMu87j2ZXNmzdP//73v/XPf/6z2WNXs7xNx7Q0vqust+LiYs2fP19vv/22wsPDWx3n7+uhoaFB6enpeuaZZyRJo0eP1pEjR5SXl6d7773XNc7f14O3BOwnzj59+ig4OLjZv4plZWXN/hXuTh566CFt3rxZ27dvdzsvaUJCgiR5XN6EhARdvnxZ586d8zjm9OnTzd73zJkzXWK9FRQUqKysTGlpaQoJCVFISIh27typlStXKiQkxDVHf18PiYmJSklJcbvvW9/6lk6cOCEpcP578JaADWePHj2Ulpam/Px8t/vz8/M1YcIEH83q6hljNG/ePL3xxht67733lJyc7PZ4cnKyEhIS3Jb38uXL2rlzp2t509LSFBoa6jbm1KlTKiwsdI0ZP368KioqtH//fteYDz74QBUVFV1ivU2ZMkWHDx/WoUOHXH/p6enKysrSoUOHNHjw4IBYDzfeeGOzw9H+85//aODAgZIC578Hr/HNPqmuofFwpDVr1piioiKzYMECExUVZY4fP+7rqVn7yU9+YpxOp9mxY4c5deqU66+6uto1ZsWKFcbpdJo33njDHD582MyePbvFw0/69etn3nnnHXPw4EFz8803t3j4yYgRI8zevXvN3r17zfDhw7v04Sdf36tuTGCsh/3795uQkBDzq1/9ynzyySdmw4YNJjIy0rz88suuMYGwHrwloMNpjDG5ublm4MCBpkePHmbMmDGuw3e6G0kt/q1du9Y1pqGhwSxdutQkJCSYsLAw853vfMccPnzY7XUuXrxo5s2bZ+Li4kxERISZNm2aOXHihNuY8vJyk5WVZWJiYkxMTIzJysoy586d64SlvDpNwxko62HLli0mNTXVhIWFmaFDh5pVq1a5PR4o68EbOB8nAFgK2O84AeBqEU4AsEQ4AcAS4QQAS4QTACwRTgCwRDgBwBLhBABLhBMALBFOALBEOAHA0v8Dj4iJRmNi69YAAAAASUVORK5CYII=", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "data = powerlaw.load_test_dataset('blackouts')\n", - "\n", - "#powerlaw.plot_pdf(data, linear_bins=False, label='PDF')\n", - "powerlaw.plot_pdf(data / 1e3, linear_bins=True, label='PDF')\n", - "plt.legend()\n", - "plt.title('blackouts')\n", - "plt.gcf().set_size_inches((3.5,3.5))\n", - "savefig('blackouts_pdf_linear.png')\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 27, - "id": "f6e435cc-bdbe-4c6c-b04a-7af5ca8c956c", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "data = powerlaw.load_test_dataset('blackouts')\n", - "\n", - "#powerlaw.plot_pdf(data, linear_bins=False, label='PDF')\n", - "powerlaw.plot_pdf(data / 1e3, linear_bins=True, label='PDF')\n", - "plt.legend()\n", - "plt.title('blackouts')\n", - "plt.xscale('log')\n", - "plt.gcf().set_size_inches((3.5,3.5))\n", - "savefig('blackouts_pdf_linear_log.png')\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 28, - "id": "5d77d725-9756-4b51-aec2-a002cbee3581", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Calculating best minimal value for power law fit\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "Fitting xmin: 100%|███████████████████████████████████████████████| 2824/2824 [00:00<00:00, 4287.79it/s]\n", - "/home/jack/miniconda3/envs/311/lib/python3.11/site-packages/powerlaw/distributions.py:671: UserWarning: Fitted parameters are very close to the edge of parameter ranges; consider changing these ranges.\n", - " warnings.warn('Fitted parameters are very close to the edge of parameter ranges; consider changing these ranges.')\n" - ] - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "data = powerlaw.load_test_dataset('fires')\n", - "\n", - "fit = powerlaw.Fit(data)\n", - "\n", - "# Plot the distributions based on the data\n", - "# No need to pass the data since the Fit already has it\n", - "fit.plot_pdf(label='PDF')\n", - "\n", - "# Plot some fits\n", - "fit.power_law.plot_pdf(linestyle='--', label='Power law fit')\n", - "fit.exponential.plot_pdf(linestyle='--', label='Exponential fit')\n", - "plt.title('fires')\n", - "\n", - "plt.legend()\n", - "plt.gcf().set_size_inches((4.5,4.5))\n", - "\n", - "savefig('fires_pdf_and_fit.png')\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "id": "b7d5c6de-8fc5-4ba2-9249-e67d3961f124", - "metadata": { - "jp-MarkdownHeadingCollapsed": true - }, - "source": [ - "## Identifying the scaling range" - ] - }, - { - "cell_type": "code", - "execution_count": 24, - "id": "e57e2d43-5a11-4cbe-a9f4-6c00e35c4928", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "data = powerlaw.load_test_dataset('fires')\n", - "\n", - "xmin = 10\n", - "xmax = 1e4\n", - "\n", - "fit = powerlaw.Fit(data, xmin=xmin, xmax=xmax)\n", - "\n", - "fit.plot_pdf(label='Cropped PDF')\n", - "fit.plot_pdf(original_data=True, label='Full PDF')\n", - "plt.title('fires')\n", - "plt.legend()\n", - "plt.gcf().set_size_inches((4.5,4.5))\n", - "savefig('fires_pdf_cropped.png')\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 23, - "id": "bdcbb6cc-3105-4e93-8f06-10ba24e90bc8", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "data = powerlaw.load_test_dataset('words')\n", - "\n", - "xmin = 10\n", - "xmax = 1e4\n", - "\n", - "fit = powerlaw.Fit(data, xmin=xmin, xmax=xmax)\n", - "\n", - "fit.plot_pdf(label='Cropped PDF')\n", - "fit.plot_pdf(original_data=True, label='Full PDF')\n", - "plt.title('words')\n", - "plt.legend()\n", - "plt.gcf().set_size_inches((4.5,4.5))\n", - "savefig('words_pdf_cropped.png')\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 29, - "id": "5b5a7a42-e4a7-4b16-ad96-dbfd9e8cbd60", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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8+cTFxfHiiy+SkJDAhAkTTB3lwel00OkV6DVdnd7zX1g7AQrL32WDrWsW6MnCMS1xcTDw2+kUnl1ygNwCOcLRgk6nw9nBTpNHaf8K9/b2pkePHkRFRZGVlVXi9dTU1Hu+v2HDhvz222/F5u3atYuGDRsWm7d79+4S07eflvrfZQoKCjhw4EDRMhERERw7doxatWpRt27dYg8XFxfq1q2Lvb19sXXcuHGDkydP3jP/sGHD2LRpE4cOHSrxWkFBAVlZWQ+8jwA+//xz9Hp9uYuVSZTq6lAZbNmy5Y6tw0aNGlW0TFRUlBIcHKw4ODgoERERyrZt20y2/dJerCqzwysU5Z9easOBZUMUJS/btOu3MbvPpCgN3vhJCf6/9crYhXullVoFsNbWaGfPnlWqV6+uNGrUSFm1apVy8uRJJTY2Vvn888+VBg0aFC3HbQ2OFEVR1qxZo9jb2yuzZs1STp48WdRA4H9bkgGKj4+PMm/ePOXEiRNFLbOOHTumKMpfF8uDgoKU1atXK3FxccozzzyjuLq6FrU2u3jxolKtWjVl4MCByp49e5QzZ84oGzduVJ5++mmloKBAURRFmTBhghIUFKRs2rRJOXr0qNK3b9/7NhDIyclROnTooHh5eSkzZsxQYmJilDNnzigrVqxQIiIiii7gl3YfBQcHK//617+U5ORkJSEhQdm2bZsyfvx4RafTKf/5z3+KlrO51mgVacaMGUrDhg2V0NBQ8xQbRVGUEz8ryru+asGZ11NRbqaafhs2ZOepq0ro6xuU4P9brzyzeJ+SVyAFx5ystdgoitraa+LEiUV/hNasWVPp27dviaJxe7FRlNI1fY6KilIeeeQRxdHRUQkODla+/vrrotdvffEuX75cad26teLg4KA0bNhQ2bx5c7H1nDx5UhkwYIDi6empVKlSRWnQoIEyefLkopZ3GRkZyvDhwxVnZ2fFz89PmT59+n2bPiuKWnCmTZumNGnSRHFyclK8vb2Vdu3aKQsXLlTy8/9q2VmafRQcHFz0B76Dg4MSFBSkDB48uFjrvP/9zBVZbHSKYltXvW9ds0lLS8Pd3d30Gzi/C5YPgdx0qN4Ehq8GV1/Tb8dGbDt5lfGL9pNXaOSxpjX4bEg4dga55mUOOTk5xMfHF3UFJVQ6nY41a9bc9RTSuXPnCAkJ4dChQ4SHh1doNmtxr/9bpf3Old/6sgpuC6N/BJdqcOkozO8JN85rncpiPRxajVnDI7A36Fh/JJl/rDpCodGm/r4RQpSCFJvyqNEUxmwEjyC4fkYtOFfu3KWGgK4N/ZgxLAI7vY41hy4y5dsY8gpk2GIhKhObKTYmvc+mNKrWgbEboVpDyEiCBT3hwoGK2bYV6tG4Op8/2RyDXse6mCTGLNxHRo606hPmpyjKPVth1apVC0VR5BSamdlMsZk4cSKxsbHs27ev4jbq7g9Pb4CaLeDmDVjUB85sqbjtW5lHm9Zg7qgWOP/ZLHronN1ScISoJGym2GjG2RtGroPanSE/C5YPhth1WqeyWJ3r+/LNMw9R1cWBPy6m8/yyg+QXyik1IWydFBtTcHSFYSugUT8ozIOVo+HAIq1TWaymAZ4seLolzg4GdpxK4ZXvjmKURgNC2DQpNqZi5wgDF0DEKFCM8MML8NtnWqeyWE0DPIkaFoFBr+O7gxf4v++klZoQtsxmik2FNxC4E70B+nwO7V9Upze9DdFvSQeed9G5gS+fDG6GQa9j5YELvPDNIXLypWsbIWyRzRQbTRoI3IlOB93+CY+8q07v/Fw9yjHKl+id9AuvSdSw5tgbdPx4JJkhs3dzOT1H61hCCBOzmWJjcdq9AH1ngE4PBxfDylFQkHv/91VCPcNqsPDpVnhUsedwYir9ZuzkYupNrWMJK9GpUycmT55cNF2rVi0+++wzzfKIO5NiY04RI2DwYjA4QNwPsGwQ5GZoncoitavrww+T2lOnmguX0nMYNX8vadnSLLoyGD16NDqdrsTj9OnTZttmeno6r7/+Og0aNMDJyYnq1avTrVs3Vq9ezf/24HX69GmefvppAgICcHR0JCQkhKFDh7J///6iZf43s4uLC/Xq1WP06NEcOFD8vrutW7fe8XO+8cYbZvuclkSKjbk17ANPrQQHV4jfBov6QtY1rVNZpKCqziwZ25rq7k6cvpLJ6IVScCqLnj17kpycXOxx+9grppKamkrbtm1ZvHgxr776KgcPHmT79u0MGTKEqVOnkpaWBsD+/fuJjIzk5MmTfPXVV8TGxrJmzRoaNGjASy+9VGydCxYsIDk5mWPHjhEVFUVmZiatW7dm8eLFJbZ/4sSJYp/zlVdeMcvntDQybm9FqN0JRn0PSwdC0kGY3wNGrAHPQK2TWRx/zyosHNOSwf/9nUMJqQyZ/TuLx7bC1006lrRljo6OVK9evcT80aNHk5qaytq1a4vmTZ48mZiYGLZu3Vqubb322mucO3euaDjnW0JDQxk6dChOTk4oisLo0aOpV68eO3bsKDZ0cnh4OH//+9+LrdPT07Mof61atejevTujRo1i0qRJ9OnTBy8vr6JlfX198fT0LFd2a2YzRzYW0RrtXmpGqv2puQfAtVMwrztcufcIfZVVg+rurHi2DT6ujhy/lMHg//5O4vVsrWNZH0WBvCxtHhbaAtNoNPLNN9/w1FNPFSs0t7i6umJnZ0dMTAzHjh3jpZdeKlZobilNsXjxxRfJyMggOjraFNGtns0c2Zh8WGhzqBYKY3+BpY/D1eNqB57DvoWg1lonszgNa7izakIbhs/bw7lr2Qz87y6Wjm1NPT83raNZj/xseL/kF2qFeC0JHEoO4Xw369evx9XVtWi6V69erFy50uSxUlJSuHHjRolROm93a5jn+y13L7fee+7cuWLzAwICik2fP3+eqlWrlns71sJmio3V8KgJT/+kjolzYS8s7geDF0GoNmPFW7JaPi6smtCWEfP2cOpKJoO++p3ZI1rQKsRb62jCxDp37sysWbOKpl1cSl+oyuLWxf/7DVtd2uXKs44dO3bg5vbXH03/e4rNlkmx0cKt/tRWjoJTv8DXQ6FfFIQP1TqZxanu4cS3z7Zh9MJ9HE5MZfBXvzP8oSD+2aexDMJ2P/bO6hGGVtsuAxcXF+rWrVtivl6v5/bxHfPzy99opFq1anh5eREXd+9T2KGhoQDExcWVuzfoW9u4vaFDSEiIXLMRFcjBGZ5cDs2GglIIayfAzi+0TmWRvFwcWDauNYNbqKcflu5O4MONJzROZQV0OvVUlhaPBzgi+F/VqlUjOTm52LyYmJhyr0+v1zNkyBCWLVtGUlLJQpyVlUVBQQHh4eE0atSIjz/+GKOxZEexqamp993WZ599hru7O926dSt3XlsixUZLBnvoNxPa/k2djn4TfnkD7vCfu7JzdbRj+sBmfDG0OQBfbT/LD4c1+qtdVJguXbqwf/9+Fi9ezKlTp3j77bf5448/Hmid77//PoGBgUVNk2NjYzl16hTz588nPDyczMxMdDodCxYs4OTJk3Ts2JENGzZw9uxZjhw5wnvvvUe/fv2KrTM1NZVLly5x/vx5oqOjGThwIMuXL2fWrFmV8ijmTuQ0mtb0euj+b3WY6ei3YNeXkJUCfb9Ui5Eopm8zf44kpjL3t3heXBGDo52e7o1LNpkVtqFHjx68+eabTJ06lZycHMaMGcPIkSM5evRoudfp5eXF7t27+c9//sO///1vzp8/j5eXF02aNOHDDz8samDUqlUr9u/fz3vvvcf48eNJSUmhRo0atG3btkQPBU8//TQATk5O1KxZk/bt27N3714iIiLKndPW6JTbT4haqaioKKKioigsLOTkyZOkpaXh7u6udayyiVkO6yapp9Xq9YBBC9XTbaKYQqPClG9jWBeThL1Bx3+HR9K1oZ/WsTSXk5NDfHw8ISEhODnJfUnCdO71f+tWC+D7fefazGk0i+mI80GED1Ov49hVgVMb1ZZq2de1TmVxDHodHw9qxmNNa5BfqPDc0oN8d+CC1rGEEPdgM8XGZtTvqbZUc/JUm0Yv6AVpF7VOZXHsDHo+HRLOo01rkFdo5KWVh/n3+lgKZNRPISySFBtLFNQaxvwMbv7qzZ/zusPVk1qnsjj2Bj1fPtmcF7qoTWbn/hbP0wv3SX9qQlggKTaWyreh2ttA1XqQfkE9wkk+onUqi6PX65jSvT4zn4qgir06zPTA/+7iRlae1tGEEP9Dio0l8wxU+1Or0QyyU2DRY5BoxdekzKh3kxp891xb/NwdOXUlk1EL9lbaQdhspM2PsCCm+D8lxcbSuVSFUT9A4EOQk6Y2Gji7TetUFqmRvztLxrbG09meIxfS6Dvjt0rVgafBYAAgL0+O6oRpZWerv0f29uW/HcNmmj7fUtpmeFYnLwu+eQrObgGDIwxZIv2p3cW5lCzGLd7P6SuZ1PV1Zfm41vi6235TYEVRSEhIID8/H39//zv2VixEWSiKQnZ2NleuXMHT05MaNWqUWKa037lSbKxJQS6sfBpO/Ah6O3h8DoQ9rnUqi5ScdpMBUbu4lJ5DTc8qLBrTirq+rvd/o5XLy8sjPj7+jl2sCFFet8bruVPHpJWu2NjETZ2lUZgPa5+DoytBp4c+X6jDT4sSEq5lM2rBXuJTsnB3Uru76Rlm+70NGI1GOZUmTMbe3r7oFO2dVLpic4tNH9ncYiyEH6fAgYXqdM8P4KEJmkayVNcycxm/eD8HE1IB+OCJJgxpGaRtKCFsSKXrQaBS0Rvgsc+gzSR1+uf/g+0fWuzoiFqq6urIN8+0YcRDwQC8svooqw9KbwNCVDQpNtZKp1M78Oz0qjr9679h09tScO7AwU7Pv/o1ZsRDwSgKvLzyMD8eSb7/G4UQJiPFxprpdNDpFbXoAOz8HNZNVK/riGJ0Oh3v9G3MkBaBGBWYuuowSak3tY4lRKUhxcYWtP2bOiSBzgAxy9Qhp3MztU5lcfR6He8/3oQWwV5k5RUyfvF+LtyoPPfhCKElKTa2ImIkDP1aHY73zGZY2BsyLmudyuIY9Dr+80RTvJztOZaUTp8vf2PX6RStYwlh86TY2JLQHjBqPThXheTDMK8bpJzSOpXFqevryg9/a0+Tmh7cyM5n5Py9HEq4oXUsIWyaFBtbExAJY6PBKwRSE9QeoxP3ap3K4gR4ObNyQhu6NfSlwKjwwjeH5BqOEGYkxcYWVa2jFhz/5nDzOizqA8d/1DqVxXGyN/DxoHCCvJ1JvH6T/lE7OShHOEKYhRQbW+VaDUb/CPW6Q0EOrBgO++ZpncrieDjb880zDxHq58qVjFyenL2bA+dldFQhTE2KjS1zcIEnv1YbDyhGtdeBze/KvTi38feswurn29GpfjXyCoyMnLeXb/clah1LCJsixcbWGezU/tNu3fy54yNY+7zci3MbV0c7ooZF0KZ2VbLyCpn63RHmbD+rdSwhbIbNFJuoqCgaNWpEy5YttY5ieW7d/HnrXpzDy/+8FydD62QWxcXRjqXjWhcNM/3+T3H8dFR6GhDCFKQjzsrm5EZYORrys9URQIetBDc/rVNZFEVReGvdMZbsPo+jnZ6Xuocy/KFgnB3stI4mhMWRjjjFnYX2gNHrwdlH7sW5C51Ox9t9GtGtoR+5BUbe33CcgbN+l6bRQjwAKTaVUc1IGPvLX/fizO8JSTFap7IodgY9/x0ewdt9GuHt4kBscjr9o3ay5cQVraMJYZWk2FRWt+7FqdEMslPUe3HO7dQ6lUWxM+h5ul0I309qRz1ftWn00wv2MXHZQS6n52gdTwirIsWmMnOtpnZvE9wOctNh6ePqNR1RTICXM2sntmNc+xAMeh0/Hk2m68fbWLgznkKjTV3yFMJspIGAgPybaqOBkz+D3g76z4Kmg7VOZZGOJaXx2po/OJyYCkB4oCfzR7fE28VB22BCaEQaCIjSs68CQ5ZC0yFgLIDV42HvHK1TWaTG/h6sfq4t7/ZrjJujHTGJqQydvZud0nO0EPckxUaoDPbQ/7/Q6ll1esPLsG269DZwBwa9jhFtarFmYlu8nO05cTmDp+bu4aONJzDKaTUh7kiKjfiLXg+9PoCHX1Gnt7wHG18Do1HbXBaqrq8bP/ytPUNbBQIwY8tppnwbg42dmRbCJKTYiOJ0Ouj8KvT8jzq9e+afQ00XaJvLQgV4OTPt8aZ8NKgZBr2OtTFJzN0Rr3UsISyOFBtxZw89p55Wu9W9zcpRUJCrdSqLNTAygJe6hwLw3oY4Ji4/SHaeFGghbpFiI+4ufCgMWQIGRzi+HlaMgHy5v+Runnu4DlMeUQvOj0eSeXbJAXLyCzVOJYRlkGIj7q3BozBsBdhVgVMb1XFxpODckU6n44Wu9Vg0phXODgZ2nErhzbV/aB1LCIsgxUbcX53OfxWc09HwzTD13hxxRw+HVuOrEZEArDxwgQU746XRgKj0pNiI0qn9MDy1Euyd4cxm+HqoFJx76FCvGsNaBwHwzg+xLN19XuNEQmhLio0ovZAO8NQqsHeBs1vUMXHysrVOZbHe6x/G3/4cG+fd9XF8uPE46TkyaJ2onCyy2AwYMAAvLy8GDhyodRRxu1rtYPh34OAK8dtg+WDIy9I6lUXS6XS82C2UXmHVySs0ErXlDL0/3yGt1ESlZJHF5oUXXmDx4sVaxxB3E9zmz4LjBud2/DnqZ6bWqSySXq9j5lMRzHoqAgc7PRdu3KTHZ9tJTpNTkKJyschi07lzZ9zc3LSOIe4l6CEYsfqvgrNkAGRf1zqVRdLpdPRqUoP3+ocBkHj9Jh0+2MITs3bxSfRJUjLl/iVh+8pcbLZv306fPn3w9/dHp9Oxdu3aEsvMnDmTkJAQnJyciIyMZMeOHabIKixNYCsYuRacPOHCXljQG9KTtE5lsQa1CCT6xY5EBntRYFQ4cP4GX2w+xaNf7OBqhhQcYdvKXGyysrJo1qwZM2bMuOPrK1asYPLkybz++uscOnSIDh060KtXLxISEoqWiYyMJCwsrMQjKUm+qKxOQAsY8zO41YCrcTCvO6Sc1jqVxarn58Z3z7Vlx9TOfPBEE4K8nbmcnss/Vh3mRlae1vGEMJsHGs9Gp9OxZs0a+vfvXzSvdevWREREMGvWrKJ5DRs2pH///kybNq3U6966dSszZsxg1apV91wuNzeX3Ny//ipMT08nMDBQxrOpaKkJ6qm0a6fBtTo8vUEdDVTc07GkNPrN2EmBUcHNyY5pjzfhsab+WscSotQ0Gc8mLy+PAwcO0L1792Lzu3fvzq5du0y5qSLTpk3Dw8Oj6BEYGGiW7Yj78AyCMRvBtzFkXlKHmb4uHVLeT2N/D5aMbU19Pzcycgr429eH5CZQYZNMWmxSUlIoLCzEz8+v2Hw/Pz8uXbpU6vX06NGDQYMGsWHDBgICAti3b99dl3311VdJS0sreiQmJpY7v3hALj4wch341If0i7Cor3rEI+6pTZ2q/PhCe3qFVUdR1JtA31z3B7kF0q+asB1maY2m0+mKTSuKUmLevWzcuJGrV6+SnZ3NhQsXaNmy5V2XdXR0xN3dvdhDaMi1Goz6HqrWhbQE9Qgn7aLWqSyenUHPzKcieKFrPQCW7k5g5Ly9XJOWasJGmLTY+Pj4YDAYShzFXLlypcTRjqlFRUXRqFGjexYmUUHcqsOoH8ArBG6cUwtORumPbCsr9SbQerw3IAwnez174q8zZtF+tp64wvFL6RTKKKDCipm02Dg4OBAZGUl0dHSx+dHR0bRt29aUmyph4sSJxMbG3vOUm6hA7v5qwfEMgutn1IKTeUXrVBZPp9PxVOtgvp/UHncnOw4npjJ6wT56fraDv39zSOt4QpRbmYtNZmYmMTExxMTEABAfH09MTExR0+YpU6Ywd+5c5s+fT1xcHC+++CIJCQlMmDDBpMGFFfAMVAuOe01IOQmL+0HWNa1TWYVQPzeWj3+Irg18qelZBYD1R5KZvf2MxsmEKJ8yN33eunUrnTt3LjF/1KhRLFy4EFBv6pw+fTrJycmEhYXx6aef0rFjR5MEvp/SNsMTFejaGfWGz8xL4NdEvabj7K11KqsSteU0H248AcA7fRszqm0tbQMJ8afSfuc+0H02liQqKoqoqCgKCws5efKkFBtLc/UkLHwUsq6ozaOHr1JPtYlSGzBzJ4cSUgH4cGBTBrWQZv5Ce5Wu2NwiRzYW7Eqceiot8zK4B6gFx7eh1qmsRnLaTd75Ppafj6mNLZoFetKnaQ2ebheCQV/61p5CmJImN3UKcU++DWFsNFStB+kXYEEvSDmldSqrUcOjCjOfiqBXWHUADiem8u8f43hu6QFpqSYsnhQbUbG8gmHsL+DfHG7egKWPQ8ZlrVNZjVtDFuyY2pk3HlWPCn+JvcwL3xwiJ19uAhWWy2aKjdxnY0WcvWHYSvU+nNQEdQC2m6lap7IaOp2OQG9nxnWozbt/Dlvw45FkHv1iBz8dTZajHGGR5JqN0M61MzDvEci+BtWbwog1apc3okx+PX6Zl749zI1sdcjpRxr5MXtEZJl67RCivOSajbB8VevAyO/BpRpcOqI2j5bOO8usSwM/tk3tzN+61MXBTk907GVW7JM+AoVlkWIjtFU9DJ7+Cdz8IeUEzOkMZ7dqncrquDvZ81L3+vyje30A3lz3B3N3nJXOPIXFkGIjtOdTD8ZvhpqRfzYaGAhnt2mdyiqNaR/CQ7W9yS9U+PePcTz2xW+cv5aldSwhbKfYSAMBK+fuD6M3QMM+YMyHFcPh0h9ap7I6Br2OhU+34v0BTXBxMHDqSibD5uyR3qOF5qSBgLAs+Tlqc+jzO9VrOcNXQ42mWqeySicvZzBw1i7ScwoY2iqI9weESaMBYXLSQEBYJ3sneHKZ2jot66raxc3537VOZZVC/dyYPrAZAF/vTWDmVunEU2hHio2wPFW8YPR6CGoLuemwZACc/EXrVFapZ1h1nutUB4APN57g7XVyalJoQ4qNsExOHjBiNdTrAQU34ZuhcHSV1qms0rj2IbQOUXvZXvT7ed5e9wcJ17I1TiUqGyk2wnLZV1FPqTUZBMYC+G4cbPsQCvK0TmZVqro6suLZNgxoXhNQC86Ub2Owscu1wsLZTLGR1mg2ymAPA2ZDy/GAAlv+DbM7QVaK1smszocDm/Juv8YA7D9/g4nLD5KRk69xKlFZSGs0YR0UBY6sgI2vQ3YK1O6ktlTTG7ROZnXm/RbPu+tjAQjxcWHDCx2o4iD7UZSPtEYTtkWng2ZPqsNM2zurvQxsfE0tQqJMxrYPYeZTERj0OuJTshizcJ/0GC3MToqNsC5+jaDvl+rzPf+F6Del4JRD7yY1iBoWgZ1ex+9nr/HKd0e0jiRsnBQbYX2aDIRHP1Gf7/oSNr8jBacceoZVZ86oFuh1sDYmiZjEVK0jCRsmxUZYp5ZjodeH6vPfPoW1z6u9D4gy6Vzfl871fQFY8vt5GQtHmI0UG2G9Wj8Dj34MOj0cXq72NpCerHUqqzOsdRAA3x28wLA5u8nOK9A4kbBFNlNspOlzJdVynNoqzckTLu5Xm0VfOKB1KqvStaEf059oioOdnj3x1xk5b68MTSBMTpo+C9tw/Sx8PQyuxoGDq9rdjX9zrVNZlV2nUxi9cB95BUYigjwZ2742LWp54efupHU0YcGk6bOoXLxrw7hoqNUB8jJhcX84vUnrVFalbV0f5o9qiYuDgYMJqUxcfpDW729m7o6zWkcTNkCKjbAdjm7w5HIIaAk5qbBssBScMmpfz4eNL3bk6Xa1qF3NBYCNxy5pnErYAik2wrY4ucPoHyHsCVAK4dtRMsx0GQV4OfN2n8Z88aR6GvJQQirTNsTJdRzxQKTYCNtj5wj9/6t2aZOXqQ4zfXiF1qmsTmN/dx5rWoMCo8JX288ycdlBjNI0WpSTFBthm+wcYNi30PhxdZjpNc/Ajy9BoTTrLS2dTseXQ5vzSq8GAGyKu8Ki389pG0pYLSk2wnbZOcIT86D9FHV631xYNxGMcjqotHQ6HRMerkPH0GoAvPNDLB//ckKGJxBlJsVG2Da9Hrq9DYMXg84AR76BH/4ORqPWyazKP/s0ol3dqgB8+etpZm07IwVHlInNFBu5qVPcU6N+8MRctbeBQ0vgl9e1TmRValdzZdm4h5jySCgA038+wdvfH9M4lbAmclOnqFyOfAurx6vPR62HkA7a5rEyiqKwYOc53v0xFkVRhyuY3K0ebk72WkcTGpGbOoW4k6aDIXK0+vzrJyF2naZxrI1Op2NM+xCGtAgE1IHY+kXtJDNXGl6Ie5NiIyqfR979q6eBb0fC5n/JEAVl9E6/xrzbPwxnBwNnr2YR9vZG/vPTcenEU9yVFBtR+Ti5w4i10GaSOr3jYzi4WNNI1sbRzsCIh4J587FGGPQ6AP677Qzv/RincTJhqaTYiMrJYAc93oOub6nTG16G4xu0zWSFhrYK4uCbj/D+gCYAfLMvkSW7z5OSmatxMmFppNiIyq3di9CwLxTmwTfD1KMcOaVWJh5V7BnWOohuDf0oNCq8ufYPHp6+hX3nrmsdTVgQKTaictPrYeB8aDEWUNTrNzs/k4JTDl8MDWdqz/q4OdqRlVfIU3P2sC7motaxhIWQYiOEwR4e+wS6/VOd3vRP+HYE5GVpmcrqODvY8Xynuvz6cicig73IKzTy7x/jpD81AUixEeIv7SZDt3dAbw9xP8B346Rrm3Ko5ubI8vGtcXEwcDUjl19iL2sdSVgAKTZC3KLTQfvJMOp7MDjCiQ3w86tySq0cHO0MDG0VBMDcHWelaxshxUaIEoLbwuNfqc/3fgWL+kDyYW0zWaFBLQLR62D/+Rv8/IcMwFbZSbER4k4aD4BHP1Y77zy3A+b3VE+tiVKrX92NcR1qA7AuJknjNEJrNlNspCNOYXItx8HEvVCnC+Rnw4oRsH4K3EzVOpnV6PTn0ATRcZf542KaxmmElmym2EycOJHY2Fj27dundRRhS3zqwrCV0OpZQIH982BGSziyUq7llEKbOlVpV7cqhUaFTXHSUKAys5liI4TZGOyg93S1l+iq9SDrCqweB0v6w7UzWqezaDqdjk6hvgBsOJrMlYwcjRMJrUixEaK0QjrAczuhyxtg5wRnt8KsdnBup9bJLNqjTWtQ1cWBk5cz6Th9C5/ISJ+VkhQbIcrCzhE6/gOe/x2C20PBTVjcDzb8A/KytU5nkfw9q/D1Mw8RHuhJTr6RL349zaa4K1rHEhVMio0Q5eFdG4avUhsPGPNh72xY2BvSpdXVnYT6ubHm+bY82rQGAK98d4TDianSu0AlIsVGiPKyrwLDV8NTq6CKNyQdggW9pJubu9DpdPQKqw7Ataw8+kXtpM1/NrP+iBToykCKjRAPQqeDeo/AM1vAzR9unFN7j86WHo/vpHdYDWYMa86jTWrg4mDgcnouL688TOJ1OQVp66TYCGEKXrVg4Dywd1EbDsxoAclHtE5lcfR6HY819SfqqQgOvPkIrUK8yck3surABa2jCTOTYiOEqQS3hVE/gHtNyL4GSwbA1ZNap7JYTvYGhrQIBGBtzEUOJ6ZKKzUbJsVGCFMKiFRbqtVoBtkpsHIUFBZoncpidWngi5ujHeevZdMvaie9v/iNX45JP2q2SIqNEKbm5KE2GnBwgyuxsLgv3LyhdSqL5OXiwDfPPkS/cH8c7PTEJafzzJIDvPdjrBzl2BgpNkKYg6uv2nO0vQuc3wk/TIbCfK1TWaTG/h58/mRz9r7WlbHtQwCYsyOeb/cnSsGxITrFxv4109PT8fDwIC0tDXd3d63jiMouYQ8s6AmKEarWVXuSrt1J61QW7cONx4naonYD5OPqSMdQHx4OrcbDodXwdHbQOJ24XWm/c6XYCGFuR1fBT1PVRgMAT30H9bppm8mCZeYW8Maao2w8dpmb+X+NlOrlbM/Wf3TGo4q9hunE7aTYSLERliQnDWZ3gutn1TFyHnkHGjymNpnW6bROZ5FyCwo5cO4G205dZeX+C1zPyuPDgU0Z9GcLNmEZSvuda3HXbBITE+nUqRONGjWiadOmrFy5UutIQjw4Jw+1twH/5qAUwi9vwBfh8Hkz9chHlOBoZ6BtXR9e7dWQJ1uqBeZgQqq2oUS5WVyxsbOz47PPPiM2NpZNmzbx4osvkpUl3X8IG+AdAmM3Qe+PIPAh0NtB6nn4bqx6I6i4q9rVXAG4cEN6GrBWFldsatSoQXh4OAC+vr54e3tz/bp0/SFshMEOWo2HsRvh/85D0yHq/O/GwcElYCy89/srKXcnOwCupOdqnESUV5mLzfbt2+nTpw/+/v7odDrWrl1bYpmZM2cSEhKCk5MTkZGR7Nixo1zh9u/fj9FoJDBQztEKG+ToqrZOq9YQsq7C95PUoafzZYCx24UHeuJg0HPicoZ03GmlylxssrKyaNasGTNmzLjj6ytWrGDy5Mm8/vrrHDp0iA4dOtCrVy8SEhKKlomMjCQsLKzEIynpr/9E165dY+TIkcyePbscH0sIK+HoBs9shW7vqNMnfoRFj0HmVU1jWRpfdyeebKX+0Tlp+SHeXvcHOflyFGhNHqg1mk6nY82aNfTv379oXuvWrYmIiGDWrFlF8xo2bEj//v2ZNm1aqdabm5vLI488wvjx4xkxYsR9l83N/evQOj09ncDAQGmNJqzPiZ/U02l5mWoP0kOXqw0KBKC2TvvPT8dZsPMcAKPb1uKffRtrG0po0xotLy+PAwcO0L1792Lzu3fvzq5du0q1DkVRGD16NF26dLlvoQGYNm0aHh4eRQ855SasVv1eMDZaHRsnIwnm9YCTG7VOZTEc7Qy83acxM4apBXj5ngR+OppMoQzAZhVMWmxSUlIoLCzEz8+v2Hw/Pz8uXSpd53o7d+5kxYoVrF27lvDwcMLDwzl69Ohdl3/11VdJS0sreiQmJj7QZxBCU36N4PndUKcrFOaq13C+eUoddjr5sNbpLMKjTWrQtk5V8gqNPLfsIJ0/2srCnfFk5UqHp5bMzhwr1d12k5qiKCXm3U379u0xGo2l3pajoyOOjo5lyieERXPzg2Er4Osn4fQmOL5enX/iZ3h2Gzh7a5tPYzqdjlnDI5mz/SxL95wn4Xo2//whltnbz7JoTCvq+blpHVHcgUmPbHx8fDAYDCWOYq5cuVLiaEcIcQ8Gexi6AoZ+A13fUuelJcDSJ6R5NOBRxZ6Xe9Rn1ytdeLd/GAFeVUhKy2HwV79zKEF62LZEJi02Dg4OREZGEh0dXWx+dHQ0bdu2NeWmSoiKiqJRo0a0bNnSrNsRosIY7NTrOB1eUk+t2TlB0kGY1RZupmqdziI4O9gx4qFgfpjUnmaBntzIzmfQf3/nk19OkFsgRdmSlLnYZGZmEhMTQ0xMDADx8fHExMQUNW2eMmUKc+fOZf78+cTFxfHiiy+SkJDAhAkTTBr8dhMnTiQ2NpZ9+/aZdTtCaMK3IbT9m/r86nFYNgguHJCB2f7k5eLAsnGt6RVWnQKjwhe/nuaxL37jWFKa1tHEn8rc9Hnr1q107ty5xPxRo0axcOFCQL2pc/r06SQnJxMWFsann35Kx44dTRL4fqQjTmHTzu+Cxf2gME+d9q4DgxZCjaaaxrIUiqKw4egl3v7+D1Iy83B3smP5+IcIq+mhdTSbVel6fY6KiiIqKorCwkJOnjwpxUbYrtObYM9stfDkZYCjO4zbBNXqa53MYtzIymPc4v0cOH8DT2d7Vk1oQ11faThgDpWu2NwiRzai0si+DvO6w7VT6oigA2ZBw74yZMGfMnLyGT5vL4cTUxnQvCafDgnXOpJNstohBoQQpeTsDcO/A78mkJ8F345Ui0+iXLcEcHOy5+XuoQDsOyed+WpNio0Q1swrGMZFQ7vJYHCEC3th2UDIKN1N1LaueZAXdnodF27cZNtJ6W9OS1JshLB29lXUkT8nH4EazSAnFdY8K71HA66OdoxoEwzAa6uPSi8DGrKZYiP32YhKz606DPgKDA7qYGxfRsCxtVqn0tzL3etT07MKF1NvsnK/dGelFZspNnKfjRCo9+MM+C+41YD0i7ByFGz9QOtUmnJxtOOxZjUASLxxU+M0lZfNFBshxJ/CnoAXDv01CujW9+HUJm0zaczL2QFQm0QLbUixEcIW2VdRT6k17KtO//ACpCbc+z02rKZnFQDOXM3UOEnlJcVGCFul08Gjn0DVeuoptajWcPmY1qk0ER7oCcCxpHQZ4VMjNlNspIGAEHfgWg0e/Vh9np+tdnWTnqxtJg0EeFWhmpsjBUaFPy5Kf2lasJliIw0EhLiL2g/D0z+pvUZnXYVPGsD2j7ROVaF0Oh3N/zy6OShDEGjCZoqNEOIegtvCiDXgXlOd3vEJJOzRNlMFiwj2AuBQQqq2QSopKTZCVBbBbWHyHxD4kNq9zYKesOtLrVNVmIggtdjsjb+O0WhTXUJaBSk2QlQmej0MWgD+zUExwi9vwOEVWqeqEM2DPHFztONaVh6HL6RqHafSsZliIw0EhCgld38Y9yvU665Or3se4tZrm6kC2Bv0dKxfDYBfj1/ROE3lYzPFRhoICFEGej0MWgQNHgNjAXw/CbKuaZ3K7Lo19AVg8e/nSbiWrXGaysVmio0QoowcnNVRPqvWhZs3IG6d1onM7tEm/jQP8iTtZj7PLNlPdp50zFlRpNgIUZkZ7CFsoPr8lzdt/vqNg52eWU9F4uPqyPFLGby6+ig2Nn6kxZJiI0Rl13YSBLSCvExY8wzs/q/WicyquocTM5+KwE6vY11MEiPn7+XEpQytY9k8KTZCVHaObjDmZwgfrk7//IpacApt9xRTqxBv3hsQhoNBz45TKfT6fDuvrTlKSmau1tFslk6xsWPI0o6HLYS4jaKoHXYeXKxO27tAQCR0fRsCWmibzUwSrmUz7ac4fvpDHdnUzdGOiV3qMrptLZzsDRqnsw6l/c6VYiOE+IuiwO5ZsOMjyP6zdVpoTxhm29dy9sZf5931sRz9s9+0QO8qvNO3MV0a+GmczPKV9jvXZk6jyX02QpiATgdtnoeXT8ET89R5F/bBhf3a5jKzViHerJvYjo8HNcPP3ZHE6zd5ZvEBLqbKYGumIkc2Qog7y82AGa0gI0mdfuwzaPG0ppEqQnZeAcPm7CEmMZVXejVgwsN1tI5k0SrdkY0QwsQc3WD8rxDURp1ePxnid2gaqSI4O9gxqEUAAN/HJGmcxnZIsRFC3J17DRi5Dtz81elFj1WKgtM7rAZ2eh2xyemcviKje5qCFBshxL3ZOaoDsNmpQyuzZACc/13bTGbm5eJAx1C1H7WPfzlBfqFR40TWT4qNEOL+GvSGKbFQtxsY82FxXziyUutUZjWufQh2eh0//XGJZxbv52aeDCf9IKTYCCFKx9kbBi6A0F5QmAerx8HxH9Xm0jaobV0f5oxsgZO9ni0nrjJy/h7SbuZrHctqSbERQpSekzs8uRyC2qrT3wyDlaNttreBzg18WTq2Ne5Oduw7d4MhX/3OlYwcrWNZJSk2Qoiy0eth4DxoMlidjl0LM1vDsTU2eZTTopY3K55tQzU3tfPOgbN+5/y1LK1jWR2bKTZyU6cQFcjdH56YAw9NVKevnVaPcHZ8rGksc2lYw51VE9oQ5O1MwvVsen++g882nSQz1zaP6MxBbuoUQpSf0QgJu+CP72D/fHBwhaFfQ3A70Nte32JX0nOYsPQABxNSAfBxdeCFrvV4smUQDnY287d7mUjfaFJshKg4igJzukDSQXXaMwiGrwGfutrmMgNFUdhw9BIfbjzOuT9H+wyu6szL3evzaJMa6PU6jRNWLCk2UmyEqFhpF+DX9+DwcnXayRMGL4baD2say1zyC418sy+RzzedKhqaoElND17p1YB2dX00TldxpNhIsRFCG1dPwNKBkJagHuH8/YjawaeNysotYN5v8Xy17QxZf96L0zG0Gv/Xsz6N/T00Tmd+Umyk2AihndxM+LAOFOTA8NVQt6vWicwuJTOXGb+eZtme8+QXql+r/cP9ea13Q3zdnTROZz7SEacQQjuOrtBsqPp852eaRqkoPq6O/LNvYzZP6US/cLUvubUxSTy37CA29jd9uUixEUKYx63hCOK3w4mftM1SgYKqOvP5k835YVJ7HO30HDh/g11nrmkdS3NSbIQQ5lGjGbR6Vn1++Gtts2igSYAHQ1sFAfDlr6c0TqM9KTZCCPNp8Kj6M249JMVoGkULz3Ssjb1Bx+6z19l37rrWcTQlxUYIYT4hHSHkYVAKK9WptFv8PaswMFIdiG3Gr6c1TqMtKTZCCPPR6SC0h/r86Eq4dkbbPBp47uG6GPQ6tp28ypELqVrH0YwUGyGEeYUNVEf6vH4GZrSAH/5us71E30lQVWf6NVNbp1XmoxubKTbSEacQFsrND8b8BPV6gGKEAwvVnqIrkec710Gng19iL3PhRrbWcTRhM8Vm4sSJxMbGsm/fPq2jCCFu51ULnvoWIker09+NhZivIatyNAmu6+tGSFUXAC7cuKlxGm3YTLERQliBhn3+er52AnxUF7Z9qF2eCuTpbA9AanblHO1Tio0QouLU7QbPbIOO/wC/JupptS3vQdIhrZOZnaezAwBpN/M0TqINKTZCiIrlHw5d3oDnfoPGAwAFYpZrncrsPKvIkY0QQmij6ZPqz8MrYNt0SE3UNo8Zedw6jXZTio0QQlSsOp3BtxHkpqmn0z5rAusmQl6W1slMzrOKehpNjmyEEKKi2TnCuM0w4Cuo1QFQ4NBSmNMVbqZqnc6kvFxunUaTazZCCFHxHJyh2ZMwej2M3gCufnA1DtZMgOMbICdd64Qm4SHXbIQQwkLUagePfao+P/kTfDMUpofAvB6wd4622R7QrdZoF1NvUlBo1DhNxZNiI4SwLA0ehZHroMVY8K4NxgJI3A0bXobkI1qnK7fG/u44OxhIuJ7NBz8f1zpOhZNiI4SwPLU7wWOfwAuH4O9H1J6jAY6v1zTWg/BxdeSjQc0AmLMjnnUxFzVOVLGk2AghLJtXMIT2VJ9fidM2ywPq3aQGEzvXAWDqqiP8cTFN40QVR4qNEMLyuddQf2alaJvDBKY8Up9O9auRW2Dk2SUHuJaZq3WkCiHFRghh+dzVAchIOgQZl7TN8oAMeh2fP9mcEB8XLqbeZOLyg+RXggYDUmyEEJYvoAXUbAEFN9V7cM5u1TrRA/GoYs/sEZG4OBjYffY672+w7tODpWFxxSYjI4OWLVsSHh5OkyZNmDPHups7CiFMQKeDfjPAKwTSL8DifnBomdapHkg9Pzc+GRIOwIKd51h14IK2gcxMpyiKonWI/1VYWEhubi7Ozs5kZ2cTFhbGvn37qFq1aqnen56ejoeHB2lpabi7u5s5rRCiQuVlwU9T1V4GXKrBuE3qWDlW7JPok3yx+RQOdnpWPtuGZoGeWkcqk9J+51rckY3BYMDZ2RmAnJwcCgsLsbB6KITQioMLPPaZeoSTdRU+D4evh8KZLWCl3xOTu9ajW0Nf8v5sMHA1wzYbDJS52Gzfvp0+ffrg7++PTqdj7dq1JZaZOXMmISEhODk5ERkZyY4dO8q0jdTUVJo1a0ZAQABTp07Fx8enrDGFELbKYA9PLoc6XQAFTmyAJf1hThdIT9Y6XZnp9To+HRJO7WouXErP4fllB8grsL0GA2UuNllZWTRr1owZM2bc8fUVK1YwefJkXn/9dQ4dOkSHDh3o1asXCQkJRctERkYSFhZW4pGUlASAp6cnhw8fJj4+nuXLl3P58uVyfjwhhE3yawQj1sDEfdDqGXBwhaSDMLcbXI7VOl2ZuTnZM2dkC9wc7dh37gbvrre+z3A/D3TNRqfTsWbNGvr37180r3Xr1kRERDBr1qyieQ0bNqR///5MmzatzNt47rnn6NKlC4MGDbrj67m5ueTm/nXYmZ6eTmBgoFyzEaIyuXEOlg6Ea6fA4AgdXoL2k9Vepa3IptjLjFu8H4APnmjCkJZBGie6P02u2eTl5XHgwAG6d+9ebH737t3ZtWtXqdZx+fJl0tPVXl7T09PZvn079evXv+vy06ZNw8PDo+gRGBhY/g8ghLBOXrVg7C9QpysU5sLW92FWW0jcp3WyMunWyI8pj4QC8ObaY1xMvalxItMxabFJSUmhsLAQPz+/YvP9/Py4dKl0N2JduHCBjh070qxZM9q3b8+kSZNo2rTpXZd/9dVXSUtLK3okJtruSH9CiHtw9obh38HA+eowBddOw+K+VndPzqTOdaldzYW8QiMnL2doHcdk7MyxUp1OV2xaUZQS8+4mMjKSmJiYUm/L0dERR0frOlQWQpiJTgdhT0DdbrBqDJzeBMsGq71IB7fROl2p6PU6vJ0dOEsWufmFWscxGZMe2fj4+GAwGEocxVy5cqXE0Y6pRUVF0ahRI1q2bGnW7QghrICTh9piLbSnelrt9zs3aLJUTvYGAG5KsbkzBwcHIiMjiY6OLjY/Ojqatm3bmnJTJUycOJHY2Fj27bOuc7RCCDOxc4QOL6vPz++EQusZIfNWscnJt50m0GU+jZaZmcnp06eLpuPj44mJicHb25ugoCCmTJnCiBEjaNGiBW3atGH27NkkJCQwYcIEkwYXQoj78g8H56qQfQ12fAydXtE6Uak42avHATk2dGRT5mKzf/9+OnfuXDQ9ZcoUAEaNGsXChQsZMmQI165d41//+hfJycmEhYWxYcMGgoODTZdaCCFKw2APvabDd2Nh+4fqKKDVm2id6r5s8TRamYtNp06d7tt9zPPPP8/zzz9f7lDlERUVRVRUFIWFtvOPI4QwgbAn4Mi3cGojxH5vJcXm1pGN7ZxGs7i+0cpLrtkIIe5IpwP/5urzrKvaZimlKn8e2UhrNCGEsCauvurPNOvoxt8WT6NJsRFC2L6aEerPxL1gtPwv8L9ao1l+1tKymWIj99kIIe7Kr4naWWduGlyx/E4ubbHps80UG7lmI4S4K4MdBLZSn5//XdsspWCLTZ9tptgIIcQ9Bf95Y/n5ndrmKAUnO7lmI4QQ1im4nfozfjsUFmib5T6qONxqjSan0YQQwroEtIIq3nDzusUf3RSdRiuQIxuLIw0EhBD3ZLCDBr3V50dXapvlPopOo+VJsbE40kBACHFfTQarPw8tgcMrtM1yD05/nkaTIxshhLBGtR+Gdn9Xn6+bCGe3aZvnLm4d2UjTZyGEsFZd/wmNHwdjPqwYDkdWWtyNnkXXbOQ0mhBCWCm9HvrPgqC2kJsOq8fBzDbwx3dgtIwjiaKbOuU0mhBCWDF7Jxi+Crq8CU6ekHJCHUZ6Vls4tlbzonOrI878QoWCQssogA/KZoqNtEYTQpSJgwt0fBkmH4FOr4GjB1yNg5Wj4KsOcHqzZtFuHdkA5BTYRrHRKfcbnMbKpKen4+HhQVpaGu7u7lrHEUJYi5upsHsm7J6lnl7T28HfDoBXrQqPYjQq1H5tAwD73+iGj6tjhWcordJ+59rMkY0QQjyQKp7Q+TX4+2H1BlBjARxcokkUvV7H95Pa8cuLHfGoYq9JBlOTYiOEEP/L2Rseek59HrNMs65tmgZ4Eurnhr3BNr6mbeNTCCGEKTV4FJyrQkYyHP9B6zQ2QYqNEELczs4Rmg9Xn69+Fg4t0zaPDZBiI4QQd9JxKtTvDYW5sO552PAPKMzXOpXVspliI02fhRAm5egKQ5apzaIB9s6GRX0h84q2uayUNH0WQoj7OfETrH5GbRLt5g8D50NwG61TWQRp+iyEEKZSvxeM/xV8QiEjCRb0hIWPwclfNO9twFpIsRFCiNLwqQfjNqsNB/R2cG4HLB8Es9rAoaVQkKt1Qosmp9GEEKKs0i6oPQ0cWAR5Geo81+rw0ASIfFq9QbSSKO13rhQbIYQor5w0OLBQLTwZyeo8B1eIHA2tJ4BnoJbpKoQUGyk2QoiKUpAHf6yCXV/ClVh1nt5OHTen61s2XXSkgYAQQlQUOwcIHwbP7YKnvoOQjmrfake/hWWD5P4cpNgIIYTp6HRQrxuM+gGe2ap2eXM1DvbN1TqZ5mym2MhNnUIIi+LfHLq+rT7f8n6lvxlUrtkIIYS5GI0wtyskHYTwp6D/TK0TmZxcsxFCCK3p9dD7Q/V5zDJI3KttHg1JsRFCCHMKaPFXD9IbXgZjobZ5NCLFRgghzK3rP9X7b5IPw+U/tE6jCSk2Qghhbq7VoGod9XnGJW2zaESKjRBCVARXP/Vn5mVtc2hEio0QQlQEF1/1ZyVtAi3FRgghKoJrNfWnFBshhBBmc+s0WpYUGyGEEObiIkc2QgghzM0jQP15YR8cW6NtFg1IsRFCiIoQ0AoaPAaFebDyafg9SutEFcpmio10xCmEsGh6PQxeDC3HAQpsfA1+flXtP60SkI44hRCiIikK7PwcNv3ZI3Sj/jDgK7B30jRWeUlHnEIIYYl0Omg/GR6fC3p7iF0LS/pD9nWNg5mXFBshhNBC00EwYjU4ukPC7zC/B9w4r3Uqs5FiI4QQWgnpCGN+BveakHIS5j2idtZpg6TYCCGElvwaw9ho8G2s9pu2oDec3qx1KpOTYiOEEFrzqAljflKPdPIyYflgOLRM61QmJcVGCCEsgZMHPPUdNBkMxgJY9zyknNI6lclIsRFCCEth56A2g/Zrok5fPaFtHhOSYiOEEJZErwe3PzvtzEnTNosJSbERQghL4+Sh/pRiI4QQwmyk2AghhDA7KTZCCCHM7laxyU3XNocJSbERQghLI0c2QgghzE6KjRBCCLMrKjapmsYwJYstNtnZ2QQHB/Pyyy9rHUUIISqWk6f6U45szO+9996jdevWWscQQoiKJ6fRKsapU6c4fvw4vXv31jqKEEJUvKJik24zw0aXudhs376dPn364O/vj06nY+3atSWWmTlzJiEhITg5OREZGcmOHTvKtI2XX36ZadOmlTWaEELYhlvFBgUOL9c0iqmUudhkZWXRrFkzZsyYccfXV6xYweTJk3n99dc5dOgQHTp0oFevXiQkJBQtExkZSVhYWIlHUlIS69atIzQ0lNDQ0PJ/KiGEsGZ2jhD5tPp83UTY/C+rP8LRKYqilPvNOh1r1qyhf//+RfNat25NREQEs2bNKprXsGFD+vfvX6qjlVdffZWlS5diMBjIzMwkPz+fl156ibfeeuuOy+fm5pKbm1s0nZ6eTmBgIGlpabi7u5f3owkhhLaMRtj6Pmz/UJ1u1A/6/xccnLXNdZv09HQ8PDzu+51r0ms2eXl5HDhwgO7duxeb3717d3bt2lWqdUybNo3ExETOnTvHRx99xPjx4+9aaG4t7+HhUfQIDAx8oM8ghBAWQa+HLm+oBUZvD7HrYOGjkHFZ62TlYtJik5KSQmFhIX5+fsXm+/n5cenSJVNuqsirr75KWlpa0SMxMdEs2xFCCE2ED4WR66CKFyQdhLld4fIxrVOVmZ05VqrT6YpNK4pSYl5pjB49+r7LODo64ujoWOZ1CyGE1ajVDsZtVoeLvnYa5nWHgQsgtPv932shTHpk4+Pjg8FgKHEUc+XKlRJHO6YWFRVFo0aNaNmypVm3I4QQmqhaB8ZtglodIC8Tvh4Ce77SOlWpmbTYODg4EBkZSXR0dLH50dHRtG3b1pSbKmHixInExsayb98+s25HCCE0U8ULhq+G5iNAMcJPU+HHl6GwQOtk91Xm02iZmZmcPn26aDo+Pp6YmBi8vb0JCgpiypQpjBgxghYtWtCmTRtmz55NQkICEyZMMGlwIYSolOwcoO+X4FMPot+GfXPgRrx6Ws3Jclvglrnp89atW+ncuXOJ+aNGjWLhwoWAelPn9OnTSU5OJiwsjE8//ZSOHTuaJPD9lLYZnhBCWL24H+C78VBwE3wbwbAV4BlUoRFK+537QPfZWJKoqCiioqIoLCzk5MmTUmyEEJXDxYPw9VDIvAQuvjD0awhoUWGbr3TF5hY5shFCVDppF2H5ELh8FOycoP8sCHu8QjatyU2dQgghNOBRE8b8DKE9oSAHVj0N2z8CCzqWkGIjhBC2wNEVnlwOD01Up399F9Y+DwW5935fBbGZYiP32QghKj29AXq+D49+AjqD2mP04v6QfV3rZHLNRgghbNLpzbByNOSmg3dtGPat2lzaxOSajRBCVGZ1u8LYaLUp9PWzap9q8ds1iyPFRgghbJVvAxj3KwS0UoeYXjIADi7RJIoUGyGEsGWu1WDUDxA2EIwF8P0kiH6rwgdjs5liIw0EhBDiLuyd4Im58PAr6vTOz2HlSMjLrrAI0kBACCEqkyPfqkNNF+aBf3MY+g24VS/36qSBgBBCiJKaDoaR34NzVUg6BHO6wKWjZt+sFBshhKhsgtuog7H5hEL6RZjXA85uNesmpdgIIURl5B2iNo0OeRgcXMC7jlk3Z5ZhoYUQQliBKp4w/DtITQDPQLNuymaObKQ1mhBClIPBXh1y2sykNZoQQohyk9ZoQgghLIYUGyGEEGYnxUYIIYTZSbERQghhdlJshBBCmJ3NFBtp+iyEEJZLmj4LIYQoN2n6LIQQwmJIsRFCCGF2UmyEEEKYnRQbIYQQZmdzvT7fau+Qnp6ucRIhhLB9t75r79fWzOaKTUZGBgCBgebtLlsIIcRfMjIy8PDwuOvrNtf02Wg0kpSUhJubGzqdDoCWLVuyb9++YsvdPu/WdHp6OoGBgSQmJpql6fSdspjqffdb5m6vl2X/3GnaEvdZad9zr+UeZH/dPk/21/3ny+/kvedb6u+koihkZGTg7++PXn/3KzM2d2Sj1+sJCAgoNs9gMJTY4bfPu33a3d3dLP9Id8piqvfdb5m7vV6e/XOn91jSPivte+613IPsr9vnyf66/3z5nbz3fEv+nbzXEc0tlaKBwMSJE+87707LVFQWU73vfsvc7fXy7J+K2l/l3VZp33Ov5R5kf90+T/bX/efL7+S951vK/irvtmzuNNqDkh4Iyk72WdnI/iob2V9lZ4n7rFIc2ZSFo6Mjb7/9No6OjlpHsRqyz8pG9lfZyP4qO0vcZ3JkI4QQwuzkyEYIIYTZSbERQghhdlJshBBCmJ0UGyGEEGYnxaYM1q9fT/369alXrx5z587VOo5VGDBgAF5eXgwcOFDrKBYvMTGRTp060ahRI5o2bcrKlSu1jmTxMjIyaNmyJeHh4TRp0oQ5c+ZoHckqZGdnExwczMsvv1xh25TWaKVUUFBAo0aN2LJlC+7u7kRERLBnzx68vb21jmbRtmzZQmZmJosWLWLVqlVax7FoycnJXL58mfDwcK5cuUJERAQnTpzAxcVF62gWq7CwkNzcXJydncnOziYsLIx9+/ZRtWpVraNZtNdff51Tp04RFBTERx99VCHblCObUtq7dy+NGzemZs2auLm50bt3bzZu3Kh1LIvXuXNn3NzctI5hFWrUqEF4eDgAvr6+eHt7c/36dW1DWTiDwYCzszMAOTk5FBYW3rf34cru1KlTHD9+nN69e1foditNsdm+fTt9+vTB398fnU7H2rVrSywzc+ZMQkJCcHJyIjIykh07dhS9lpSURM2aNYumAwICuHjxYkVE18yD7rPKxpT7a//+/RiNRpvvvdwU+yw1NZVmzZoREBDA1KlT8fHxqaD0Fc8U++vll19m2rRpFZT4L5Wm2GRlZdGsWTNmzJhxx9dXrFjB5MmTef311zl06BAdOnSgV69eJCQkAHceq+FWr9K26kH3WWVjqv117do1Ro4cyezZsysitqZMsc88PT05fPgw8fHxLF++nMuXL1dU/Ar3oPtr3bp1hIaGEhoaWpGxVUolBChr1qwpNq9Vq1bKhAkTis1r0KCB8sorryiKoig7d+5U+vfvX/TaCy+8oCxbtszsWS1FefbZLVu2bFGeeOIJc0e0KOXdXzk5OUqHDh2UxYsXV0RMi/Ig/8dumTBhgvLtt9+aK6JFKc/+euWVV5SAgAAlODhYqVq1quLu7q688847FZK30hzZ3EteXh4HDhyge/fuxeZ3796dXbt2AdCqVSv++OMPLl68SEZGBhs2bKBHjx5axLUIpdln4i+l2V+KojB69Gi6dOnCiBEjtIhpUUqzzy5fvlw0UmR6ejrbt2+nfv36FZ7VEpRmf02bNo3ExETOnTvHRx99xPjx43nrrbcqJJ/NjWdTHikpKRQWFuLn51dsvp+fH5cuXQLAzs6Ojz/+mM6dO2M0Gpk6dWqlbvFSmn0G0KNHDw4ePEhWVhYBAQGsWbOGli1bVnRczZVmf+3cuZMVK1bQtGnTonPxS5YsoUmTJhUd1yKUZp9duHCBsWPHoigKiqIwadIkmjZtqkVczZX2d1IrUmz+x+3XYBRFKTavb9++9O3bt6JjWbT77TNpsVfcvfZX+/btMRqNWsSyaPfaZ5GRkcTExGiQynLd73fyltGjR1dQIpWcRgN8fHwwGAwlqv+VK1dK/JUgVLLPykb2V9nJPisbS99fUmwABwcHIiMjiY6OLjY/Ojqatm3bapTKssk+KxvZX2Un+6xsLH1/VZrTaJmZmZw+fbpoOj4+npiYGLy9vQkKCmLKlCmMGDGCFi1a0KZNG2bPnk1CQgITJkzQMLW2ZJ+VjeyvspN9VjZWvb8qpM2bBdiyZYsClHiMGjWqaJmoqCglODhYcXBwUCIiIpRt27ZpF9gCyD4rG9lfZSf7rGyseX9J32hCCCHMTq7ZCCGEMDspNkIIIcxOio0QQgizk2IjhBDC7KTYCCGEMDspNkIIIcxOio0QQgizk2IjhBDC7KTYCCGEMDspNkIIIcxOio0QQgizk2IjhBDC7KTYCCGEMLv/B0cqmYB859sxAAAAAElFTkSuQmCC", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "data = powerlaw.load_test_dataset('words')\n", - "\n", - "xmin = 10\n", - "xmax = 1e4\n", - "\n", - "fit = powerlaw.Fit(data, xmin=xmin, xmax=xmax)\n", - "\n", - "fit.plot_ccdf(label='Cropped CCDF')\n", - "fit.plot_ccdf(original_data=True, label='Full CCDF')\n", - "plt.title('words')\n", - "plt.legend()\n", - "plt.gcf().set_size_inches((4.5,4.5))\n", - "savefig('words_ccdf_cropped.png')\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "id": "c8f6ff9e-ca29-48f6-86c1-106565569740", - "metadata": {}, - "source": [ - "## Ranges and constraints" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "edded8c8-e9f8-4999-8634-cf4e5ccc4ba3", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Calculating best minimal value for power law fit\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "Fitting xmin: 100%|█████████████████████████| 151/151 [00:00<00:00, 3470.17it/s]\n" - ] - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "data = powerlaw.load_test_dataset('blackouts')\n", - "\n", - "fit = powerlaw.Fit(data / 1e3)\n", - "\n", - "plt.plot(fit.xmin_fitting_results[\"xmins\"], fit.xmin_fitting_results[\"distances\"], label='KS distance')\n", - "plt.plot(fit.xmin_fitting_results[\"xmins\"], fit.xmin_fitting_results[\"valid_fits\"], label='Is valid fit')\n", - "\n", - "plt.axvline(fit.xmin, linestyle='--', c='black', label='Optimal $x_{min}$')\n", - "\n", - "plt.xlabel('$x_{min}$')\n", - "\n", - "plt.legend()\n", - "plt.xscale('log')\n", - "plt.title('blackouts, no constraints')\n", - "plt.gcf().set_size_inches((4.5,4.5))\n", - "savefig('blackouts_xmin.png')\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "id": "1892f35d-90cf-4ad3-8b79-2e4339dfa6ce", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Calculating best minimal value for power law fit\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "Fitting xmin: 100%|█████████████████████████| 151/151 [00:00<00:00, 6786.68it/s]\n" - ] - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "data = powerlaw.load_test_dataset('blackouts')\n", - "\n", - "def constraint(dist):\n", - " N = 100\n", - " return len(dist.data) - N\n", - "\n", - "constraint_dict = {\"type\": 'ineq',\n", - " \"fun\": constraint,\n", - " \"dists\": ['power_law']}\n", - "\n", - "fit = powerlaw.Fit(data / 1e3, parameter_constraints=constraint_dict)\n", - "\n", - "plt.plot(fit.xmin_fitting_results[\"xmins\"], fit.xmin_fitting_results[\"distances\"], label='KS distance')\n", - "plt.plot(fit.xmin_fitting_results[\"xmins\"], fit.xmin_fitting_results[\"valid_fits\"], label='Is valid fit')\n", - "\n", - "plt.axvline(fit.xmin, linestyle='--', c='black', label='Optimal $x_{min}$')\n", - "\n", - "plt.xlabel('$x_{min}$')\n", - "\n", - "plt.legend()\n", - "plt.xscale('log')\n", - "plt.title('blackouts, constraint on $N$')\n", - "plt.gcf().set_size_inches((4.5,4.5))\n", - "savefig('blackouts_xmin_constrained.png')\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 28, - "id": "8d03f380-728b-4463-bf08-e3251da5eede", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "data = powerlaw.load_test_dataset('blackouts')\n", - "\n", - "powerlaw.plot_pdf(data, label='PDF')\n", - "pl = powerlaw.Power_Law(data=data, xmin=100)\n", - "\n", - "pl.plot_pdf(linestyle='--', label='Power law fit')\n", - "\n", - "plt.xlabel('$x_{min}$')\n", - "\n", - "plt.legend()\n", - "plt.xscale('log')\n", - "plt.title('fires, no constraints')\n", - "plt.gcf().set_size_inches((4.5,4.5))\n", - "#savefig('blackouts_xmin.png')\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "id": "50e839b4-935e-4ada-a31f-627ee42ab03d", - "metadata": { - "jp-MarkdownHeadingCollapsed": true - }, - "source": [ - "## Continuous and discrete data" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "id": "c9f4b61b-f3e9-4647-b2dc-edf5b0252bc2", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "data = powerlaw.load_test_dataset('words')\n", - "\n", - "powerlaw.plot_pdf(data[data >= 1], label='Original data')\n", - "\n", - "np.random.seed(0)\n", - "fit = powerlaw.Fit(data, xmin=1, discrete=True, estimate_discrete=True)\n", - "samples = fit.power_law.generate_random(size=(100000))\n", - "samples = samples[samples <= 1e5]\n", - "powerlaw.plot_pdf(samples, label='Sampled data\\n$x_{min} = 1$, estimate_discrete=True')\n", - "\n", - "np.random.seed(0)\n", - "fit = powerlaw.Fit(data, xmin=1, discrete=True, estimate_discrete=False)\n", - "samples = fit.power_law.generate_random(size=(100000))\n", - "samples = samples[samples <= 1e5]\n", - "powerlaw.plot_pdf(samples, label='Sampled data\\n$x_{min} = 1$, estimate_discrete=False')\n", - "\n", - "plt.legend()\n", - "plt.title('words')\n", - "plt.gcf().set_size_inches((4.5,4.5))\n", - "savefig('words_generation_1_xmin.png')\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "id": "923a1f4a-377c-4a33-898b-1fc7141efa73", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "data = powerlaw.load_test_dataset('words')\n", - "\n", - "powerlaw.plot_pdf(data[data >= 10], label='Original data')\n", - "\n", - "np.random.seed(0)\n", - "fit = powerlaw.Fit(data, xmin=10, discrete=True, estimate_discrete=True)\n", - "samples = fit.power_law.generate_random(size=(100000))\n", - "samples = samples[samples <= 1e5]\n", - "powerlaw.plot_pdf(samples, label='Sampled data\\n$x_{min} = 10$, estimate_discrete=True')\n", - "\n", - "np.random.seed(0)\n", - "fit = powerlaw.Fit(data, xmin=10, discrete=True, estimate_discrete=False)\n", - "samples = fit.power_law.generate_random(size=(100000))\n", - "samples = samples[samples <= 1e5]\n", - "powerlaw.plot_pdf(samples, label='Sampled data\\n$x_{min} = 10$, estimate_discrete=False')\n", - "\n", - "plt.legend()\n", - "plt.title('words')\n", - "plt.gcf().set_size_inches((4.5,4.5))\n", - "savefig('words_generation_10_xmin.png')\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "id": "76965afb-7440-4191-93f9-11e652905b42", - "metadata": { - "jp-MarkdownHeadingCollapsed": true - }, - "source": [ - "## Comparing distributions" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "id": "65932673-8a02-490b-8ce8-f1fd18f62ab6", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Calculating best minimal value for power law fit\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "Fitting xmin: 100%|█████████████████████████| 151/151 [00:00<00:00, 7710.40it/s]\n", - "/home/jack/miniconda3/envs/311/lib/python3.11/site-packages/powerlaw/distributions.py:671: UserWarning: Fitted parameters are very close to the edge of parameter ranges; consider changing these ranges.\n", - " warnings.warn('Fitted parameters are very close to the edge of parameter ranges; consider changing these ranges.')\n" - ] - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "(1.4314804849576281, 0.15229255604426545)\n" - ] - } - ], - "source": [ - "data = powerlaw.load_test_dataset('blackouts')\n", - "\n", - "fit = powerlaw.Fit(data)\n", - "\n", - "fit.plot_pdf(label='Data (PDF)')\n", - "fit.power_law.plot_pdf(linestyle='--', label='Power law fit (PDF)')\n", - "fit.exponential.plot_pdf(linestyle='--', label='Exponential fit (PDF)')\n", - "\n", - "plt.title('blackouts')\n", - "plt.legend()\n", - "plt.gcf().set_size_inches((4.5,4.5))\n", - "savefig('blackouts_compare.png')\n", - "\n", - "plt.show()\n", - "\n", - "print(fit.distribution_compare('power_law', 'exponential',\n", - " normalized_ratio=True))" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "id": "2c7abd19-af53-4ed4-88f4-9568a995b0d8", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Calculating best minimal value for power law fit\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "Fitting xmin: 100%|█████████████████████████| 270/270 [00:00<00:00, 7817.85it/s]\n" - ] - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "(9.135914718777004, 6.485614241379349e-20)\n" - ] - } - ], - "source": [ - "data = powerlaw.load_test_dataset('words')\n", - "\n", - "fit = powerlaw.Fit(data, discrete=True)\n", - "\n", - "fit.plot_pdf(label='Data (PDF)')\n", - "fit.power_law.plot_pdf(linestyle='--', label='Power law fit (PDF)')\n", - "fit.exponential.plot_pdf(linestyle='--', label='Exponential fit (PDF)')\n", - "\n", - "plt.title('words')\n", - "plt.legend()\n", - "plt.ylim([1e-10, 1e1])\n", - "plt.gcf().set_size_inches((4.5,4.5))\n", - "savefig('words_compare.png')\n", - "\n", - "plt.show()\n", - "\n", - "print(fit.distribution_compare('power_law', 'exponential',\n", - " normalized_ratio=True))" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "id": "45205fdf-12af-48ba-b395-8edb21d6db38", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Calculating best minimal value for power law fit\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "Fitting xmin: 100%|█████████████████████████| 270/270 [00:00<00:00, 7937.80it/s]\n" - ] - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "(0.0636808247240506, 0.9492243734054262)\n" - ] - } - ], - "source": [ - "data = powerlaw.load_test_dataset('words')\n", - "\n", - "fit = powerlaw.Fit(data, discrete=True)\n", - "\n", - "fit.plot_ccdf(label='Data (CCDF)')\n", - "fit.power_law.plot_ccdf(linestyle='--', label='Power law fit (CCDF)')\n", - "fit.lognormal.plot_ccdf(linestyle='--', label='Lognormal fit (CCDF)')\n", - "\n", - "plt.title('words')\n", - "plt.legend()\n", - "#plt.ylim([1e-10, 1e1])\n", - "plt.gcf().set_size_inches((4.5,4.5))\n", - "savefig('words_compare_lognormal.png')\n", - "\n", - "plt.show()\n", - "\n", - "print(fit.distribution_compare('power_law', 'lognormal',\n", - " normalized_ratio=True))" - ] - }, - { - "cell_type": "markdown", - "id": "0a9d246b-47b9-4fb9-974b-87ab17e78399", - "metadata": { - "jp-MarkdownHeadingCollapsed": true - }, - "source": [ - "## Generating data" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "d5201586-2ad8-4349-a3e1-1ce974cd3575", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "pl = powerlaw.Power_Law(xmin=1, parameters={'alpha': 2.0})\n", - "pl = powerlaw.Power_Law(xmin=1, parameters=[2.0])\n", - "pl = powerlaw.Power_Law(xmin=1, alpha=2.0)\n", - "\n", - "pl.plot_pdf(label='PDF')\n", - "pl.plot_ccdf(label='CCDF')\n", - "plt.legend()\n", - "plt.title('power law, $\\\\alpha = 2$')\n", - "plt.gcf().set_size_inches((4.5,4.5))\n", - "savefig('powerlaw_slope_2.png')\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "49c6717f-5bf7-4920-b583-96dd756faaf5", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "pl = powerlaw.Power_Law(xmin=1, parameters={'alpha': 2.0})\n", - "pl = powerlaw.Power_Law(xmin=1, parameters=[2.0])\n", - "pl = powerlaw.Power_Law(xmin=1, alpha=2.0)\n", - "\n", - "pl.plot_pdf(label='Original PDF', alpha=0.7, linewidth=2)\n", - "samples = pl.generate_random((10000,))\n", - "powerlaw.plot_pdf(samples, label='Sampled PDF', alpha=0.7, linewidth=2)\n", - "\n", - "plt.legend()\n", - "plt.title('power law, $\\\\alpha = 2$')\n", - "plt.gcf().set_size_inches((4.5,4.5))\n", - "savefig('powerlaw_slope_2_sampled.png')\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "e7ddb3df-b9c5-43f1-8bb9-45238b5ff122", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "pl = powerlaw.Power_Law(xmin=1, alpha=2.0)\n", - "\n", - "pl.plot_pdf(label='Original PDF', alpha=0.7, linewidth=2)\n", - "samples = pl.generate_random((10000000,))\n", - "powerlaw.plot_pdf(samples, label='Sampled PDF', alpha=0.7, linewidth=2)\n", - "\n", - "plt.legend()\n", - "plt.title('power law, $\\\\alpha = 2$')\n", - "plt.gcf().set_size_inches((4.5,4.5))\n", - "savefig('powerlaw_slope_2_sampled_large_n.png')\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "id": "868b7337-110a-42ee-9e96-3547bbb433b0", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "pl = powerlaw.Power_Law(xmin=1, xmax=1e5, alpha=2.0)\n", - "\n", - "pl.plot_pdf(label='Original PDF', alpha=0.7, linewidth=2)\n", - "samples = pl.generate_random((10000000,))\n", - "powerlaw.plot_pdf(samples, label='Sampled PDF', alpha=0.7, linewidth=2)\n", - "\n", - "plt.legend()\n", - "plt.title('power law, $\\\\alpha = 2$')\n", - "plt.gcf().set_size_inches((4.5,4.5))\n", - "savefig('powerlaw_slope_2_sampled_bounded.png')\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "id": "e8749132-7cc9-4b2b-82c5-03317c589ae5", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Calculating best minimal value for power law fit\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "Fitting xmin: 100%|███████████████████████| 1325/1325 [00:00<00:00, 2956.02it/s]\n", - "/home/jack/miniconda3/envs/311/lib/python3.11/site-packages/powerlaw/distributions.py:155: UserWarning: discrete=False but data exclusively contains integer values. Consider using discrete=True.\n", - " warnings.warn('discrete=False but data exclusively contains integer values. Consider using discrete=True.')\n" - ] - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "data = powerlaw.load_test_dataset('flares')\n", - "\n", - "fit = powerlaw.Fit(data)\n", - "\n", - "fit.plot_pdf(label='Original PDF', alpha=0.7, linewidth=2)\n", - "samples = fit.power_law.generate_random((10000,))\n", - "powerlaw.plot_pdf(samples, label='Sampled PDF', alpha=0.7, linewidth=2)\n", - "\n", - "plt.legend()\n", - "plt.title('flares')\n", - "plt.gcf().set_size_inches((4.5,4.5))\n", - "savefig('flares_random_samples.png')\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "id": "cccf6d3f-3aae-4a61-88f4-1cc014909d5a", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Calculating best minimal value for power law fit\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "Fitting xmin: 100%|███████████████████████| 1325/1325 [00:00<00:00, 2899.11it/s]\n", - "/home/jack/miniconda3/envs/311/lib/python3.11/site-packages/powerlaw/distributions.py:155: UserWarning: discrete=False but data exclusively contains integer values. Consider using discrete=True.\n", - " warnings.warn('discrete=False but data exclusively contains integer values. Consider using discrete=True.')\n" - ] - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "data = powerlaw.load_test_dataset('flares')\n", - "\n", - "fit = powerlaw.Fit(data, xmax=np.max(data))\n", - "\n", - "fit.plot_pdf(label='Original PDF', alpha=0.7, linewidth=2)\n", - "samples = fit.power_law.generate_random((10000,))\n", - "powerlaw.plot_pdf(samples, label='Sampled PDF', alpha=0.7, linewidth=2)\n", - "\n", - "plt.legend()\n", - "plt.title('flares')\n", - "plt.gcf().set_size_inches((4.5,4.5))\n", - "savefig('flares_random_samples_bounded.png')\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "id": "8cf1a681-b40e-4482-bf95-10be13a7d117", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "100%|█████████████████████████████████████████| 100/100 [00:04<00:00, 20.59it/s]\n" - ] - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "from tqdm import tqdm\n", - "\n", - "np.random.seed(0)\n", - "\n", - "alphaArr = np.linspace(0.5, 2.5, 100)\n", - "numSamples = 30 # per alpha value\n", - "N = 3000\n", - "\n", - "fitAlphaArr = np.zeros((len(alphaArr), numSamples))\n", - "\n", - "for j in tqdm(range(len(alphaArr))):\n", - " for k in range(numSamples):\n", - " theoretical_dist = powerlaw.Power_Law(xmin=1, xmax=1e6, parameters=[alphaArr[j]])\n", - " data = theoretical_dist.generate_random(N)\n", - " \n", - " fit = powerlaw.Fit(data, xmin=1, xmax=np.max(data))\n", - "\n", - " fitAlphaArr[j,k] = fit.power_law.alpha\n", - "\n", - "\n", - "plt.plot(alphaArr, alphaArr, '--', c='tab:orange')\n", - "for i in range(len(alphaArr)):\n", - " plt.scatter(np.repeat(alphaArr[i], numSamples), fitAlphaArr[i], alpha=0.1, c='tab:blue')\n", - "\n", - "plt.xlabel('True alpha')\n", - "plt.ylabel('Fit alpha')\n", - "\n", - "plt.title('Continuous power law validation')\n", - "plt.gcf().set_size_inches((4.5,4.5))\n", - "savefig('random_gen_validation_continuous.png')\n", - "\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "db735537-1dac-4713-9490-ef6d575af2d5", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "100%|███████████████████████████████████████████| 30/30 [00:00<00:00, 71.46it/s]\n", - " 0%| | 0/30 [00:00" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "fig, ax = plt.subplots(1, 2, figsize=(9,4.5))\n", - "\n", - "for i in range(2):\n", - " ax[i].plot(alphaArr, alphaArr, '--', c='tab:orange')\n", - " \n", - " for j in range(len(alphaArr)):\n", - " ax[i].scatter(np.repeat(alphaArr[j], numSamples), fitAlphaArr[i][j], alpha=0.3, c='tab:blue')\n", - "\n", - " ax[i].set_xlabel('True alpha')\n", - " ax[i].set_ylabel('Fit alpha')\n", - "\n", - "ax[0].set_title('Continuous Power Law')\n", - "ax[1].set_title('Discrete Power Law')\n", - "\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "id": "f70cc3df-b6b9-4583-b2c7-fba68aa52358", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "0.9900473187456262\n" - ] - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "text/plain": [ - "1.4941443202861935" - ] - }, - "execution_count": 13, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "theoretical_dist = powerlaw.Power_Law(xmin=1, xmax=1e6, parameters=[1.4], discrete=True, estimate_discrete=False)\n", - "data = theoretical_dist.generate_random(N*2)\n", - "\n", - "powerlaw.plot_pdf(data)\n", - "plt.show()\n", - "\n", - "fit = powerlaw.Fit(data, xmin=1, xmax=np.max(data), fit_method='KS', verbose=1, force_numerical_fit=True, discrete=True)\n", - "fit.power_law.alpha" - ] - }, - { - "cell_type": "markdown", - "id": "05939dd6-d4b3-4ca5-8a43-0cdd9d6d7344", - "metadata": { - "jp-MarkdownHeadingCollapsed": true - }, - "source": [ - "## Advanced topics" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "d4aa8f8f-5557-4245-a99c-07585589acc2", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Calculating best minimal value for power law fit\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "Fitting xmin: 100%|█████████████████████████| 151/151 [00:00<00:00, 2080.54it/s]\n" - ] - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "data = powerlaw.load_test_dataset('blackouts')\n", - "\n", - "fit = powerlaw.Fit(data / 1e3)\n", - "\n", - "plt.plot(fit.xmin_fitting_results[\"xmins\"], fit.xmin_fitting_results[\"distances\"], label='KS distance')\n", - "plt.plot(fit.xmin_fitting_results[\"xmins\"], fit.xmin_fitting_results[\"valid_fits\"], label='Is valid fit')\n", - "plt.plot(fit.xmin_fitting_results[\"xmins\"], fit.xmin_fitting_results[\"alphas\"], label='Alpha value')\n", - "\n", - "plt.xlabel('$x_{min}$')\n", - "plt.ylabel('Distance (KS)')\n", - "\n", - "plt.legend()\n", - "plt.xscale('log')\n", - "plt.title('blackouts')\n", - "plt.gcf().set_size_inches((4.5,4.5))\n", - "savefig('blackouts_multiple_fits.png')\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "7f1034a0-0579-444f-aaa6-b80ebbbad46c", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Calculating best minimal value for power law fit\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "Fitting xmin: 100%|█████████████████████████| 151/151 [00:00<00:00, 2461.01it/s]\n" - ] - }, - { - "data": { - "image/png": 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", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "data = powerlaw.load_test_dataset('blackouts')\n", - "\n", - "fit = powerlaw.Fit(data / 1e3, parameter_ranges={\"alpha\": [2, 3]})\n", - "\n", - "plt.plot(fit.xmin_fitting_results[\"xmins\"], fit.xmin_fitting_results[\"distances\"], label='KS distance')\n", - "plt.plot(fit.xmin_fitting_results[\"xmins\"], fit.xmin_fitting_results[\"valid_fits\"], label='Is valid fit')\n", - "plt.plot(fit.xmin_fitting_results[\"xmins\"], fit.xmin_fitting_results[\"alphas\"], label='Alpha value')\n", - "\n", - "plt.xlabel('$x_{min}$')\n", - "plt.ylabel('Distance (KS)')\n", - "\n", - "plt.legend()\n", - "plt.xscale('log')\n", - "plt.title('blackouts')\n", - "plt.gcf().set_size_inches((4.5,4.5))\n", - "savefig('blackouts_multiple_fits_bounded.png')\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "2ff639a4-c21e-409f-bbbd-5baaea7ad668", - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "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": "3.11.9" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/docs/documentation_figures.py b/docs/documentation_figures.py new file mode 100644 index 0000000..6ec9617 --- /dev/null +++ b/docs/documentation_figures.py @@ -0,0 +1,464 @@ +""" +This script will create all of the figures for the documentation. + +Conventions +----------- + +- All files should be saved in png format. + +- Make sure to close the figures after they are saved using ``plt.close()``; +this script is not meant to display anything. + +- For a typical standalone plot the default size should be 4.5x4.5 inches at +default DPI. Feel free to change this as needed, but if you have no other +constraints, try to stick to this. + +""" + +import numpy as np +import matplotlib +matplotlib.use('agg') +import matplotlib.pyplot as plt + +import powerlaw +import os, pathlib + +from tqdm import tqdm + +# Just for my personal testing and logging +print(powerlaw.__version__) + +# The source file directory, used for saving the images +SOURCE_DIR = os.path.join((pathlib.Path(__file__).parent.resolve()), 'source/') + +# For now this will just be in the source dir, but it might be changed by +# an argument. +SAVE_DIR = os.path.join(SOURCE_DIR, 'images') + +# Since we have to save lots of figures +def savefig(fname): + plt.savefig(os.path.join(SAVE_DIR, fname), bbox_inches='tight') + + +if __name__ == '__main__': + + # Create the save directory if it doesn't exist + if not os.path.exists(SAVE_DIR): + os.makedirs(SAVE_DIR) + print(f'Created save file directory: {SAVE_DIR}') + print() + + + ################################################# + # Test datasets + ################################################# + + powerlaw.plot_test_datasets() + savefig('test_datasets.png') + plt.close() + + + ################################################# + # Visualization + ################################################# + + # 1. Simple plot of PDF, CDF, and CCDF + + data = powerlaw.load_test_dataset('words') + + powerlaw.plot_pdf(data, label='PDF') + powerlaw.plot_cdf(data, label='CDF') + powerlaw.plot_ccdf(data, label='CCDF') + + plt.legend() + plt.title('words') + plt.gcf().set_size_inches((4.5,4.5)) + savefig('words_dists.png') + plt.close() + + # 2. Effects of binning types (log and log) + data = powerlaw.load_test_dataset('blackouts') + + powerlaw.plot_pdf(data / 1e3, linear_bins=False, label='PDF') + plt.legend() + plt.title('blackouts') + plt.gcf().set_size_inches((3.5,3.5)) + savefig('blackouts_pdf.png') + plt.close() + + # 3. Effects of binning types (linear and linear) + + data = powerlaw.load_test_dataset('blackouts') + + powerlaw.plot_pdf(data / 1e3, linear_bins=True, label='PDF') + plt.legend() + plt.title('blackouts') + plt.gcf().set_size_inches((3.5,3.5)) + savefig('blackouts_pdf_linear.png') + plt.close() + + # 4. Effects of binning types (linear and log) + data = powerlaw.load_test_dataset('blackouts') + + powerlaw.plot_pdf(data / 1e3, linear_bins=True, label='PDF') + plt.legend() + plt.title('blackouts') + plt.xscale('log') + plt.gcf().set_size_inches((3.5,3.5)) + savefig('blackouts_pdf_linear_log.png') + plt.close() + + # 5. Plotting different fits + + data = powerlaw.load_test_dataset('fires') + + fit = powerlaw.Fit(data) + + # Plot the distributions based on the data + # No need to pass the data since the Fit already has it + fit.plot_pdf(label='PDF') + + fit.power_law.plot_pdf(linestyle='--', label='Power law fit') + fit.exponential.plot_pdf(linestyle='--', label='Exponential fit') + plt.title('fires') + + plt.legend() + plt.gcf().set_size_inches((4.5,4.5)) + + savefig('fires_pdf_and_fit.png') + plt.close() + + + ################################################# + # Identifying the scaling range + ################################################# + + # 1. Example of cropped PDF (fires) + + data = powerlaw.load_test_dataset('fires') + + xmin = 10 + xmax = 1e4 + + fit = powerlaw.Fit(data, xmin=xmin, xmax=xmax) + + fit.plot_pdf(label='Cropped PDF') + fit.plot_pdf(original_data=True, label='Full PDF') + plt.title('fires') + plt.legend() + plt.gcf().set_size_inches((4.5,4.5)) + savefig('fires_pdf_cropped.png') + plt.close() + + # 2. Example of cropped PDF (words) + + data = powerlaw.load_test_dataset('words') + + xmin = 10 + xmax = 1e4 + + fit = powerlaw.Fit(data, xmin=xmin, xmax=xmax) + + fit.plot_pdf(label='Cropped PDF') + fit.plot_pdf(original_data=True, label='Full PDF') + plt.title('words') + plt.legend() + plt.gcf().set_size_inches((4.5,4.5)) + savefig('words_pdf_cropped.png') + plt.close() + + # 3. Example of cropped CCDF (words) + + data = powerlaw.load_test_dataset('words') + + xmin = 10 + xmax = 1e4 + + fit = powerlaw.Fit(data, xmin=xmin, xmax=xmax) + + fit.plot_ccdf(label='Cropped CCDF') + fit.plot_ccdf(original_data=True, label='Full CCDF') + plt.title('words') + plt.legend() + plt.gcf().set_size_inches((4.5,4.5)) + savefig('words_ccdf_cropped.png') + plt.close() + + + ################################################# + # Ranges and constraints + ################################################# + + # 1. Example xmin fitting without constraints + + data = powerlaw.load_test_dataset('blackouts') + + fit = powerlaw.Fit(data / 1e3) + + plt.plot(fit.xmin_fitting_results["xmins"], fit.xmin_fitting_results["distances"], label='KS distance') + plt.plot(fit.xmin_fitting_results["xmins"], fit.xmin_fitting_results["valid_fits"], label='Is valid fit') + + plt.axvline(fit.xmin, linestyle='--', c='black', label='Optimal $x_{min}$') + + plt.xlabel('$x_{min}$') + + plt.legend() + plt.xscale('log') + plt.title('blackouts, no constraints') + plt.gcf().set_size_inches((4.5,4.5)) + savefig('blackouts_xmin.png') + plt.close() + + # 2. Example xmin fitting with constraint + + data = powerlaw.load_test_dataset('blackouts') + + def constraint(dist): + N = 100 + return len(dist.data) - N + + constraint_dict = {"type": 'ineq', + "fun": constraint, + "dists": ['power_law']} + + fit = powerlaw.Fit(data / 1e3, parameter_constraints=constraint_dict) + + plt.plot(fit.xmin_fitting_results["xmins"], fit.xmin_fitting_results["distances"], label='KS distance') + plt.plot(fit.xmin_fitting_results["xmins"], fit.xmin_fitting_results["valid_fits"], label='Is valid fit') + + plt.axvline(fit.xmin, linestyle='--', c='black', label='Optimal $x_{min}$') + + plt.xlabel('$x_{min}$') + + plt.legend() + plt.xscale('log') + plt.title('blackouts, constraint on $N$') + plt.gcf().set_size_inches((4.5,4.5)) + savefig('blackouts_xmin_constrained.png') + plt.close() + + + ################################################# + # Continuous and discrete data + ################################################# + + # 1. Example with and without estimate discrete for small xmin + + data = powerlaw.load_test_dataset('words') + + powerlaw.plot_pdf(data[data >= 1], label='Original data') + + np.random.seed(0) + fit = powerlaw.Fit(data, xmin=1, discrete=True, estimate_discrete=True) + samples = fit.power_law.generate_random(size=(100000)) + samples = samples[samples <= 1e5] + powerlaw.plot_pdf(samples, label='Sampled data\n$x_{min} = 1$, estimate_discrete=True') + + np.random.seed(0) + fit = powerlaw.Fit(data, xmin=1, discrete=True, estimate_discrete=False) + samples = fit.power_law.generate_random(size=(100000)) + samples = samples[samples <= 1e5] + powerlaw.plot_pdf(samples, label='Sampled data\n$x_{min} = 1$, estimate_discrete=False') + + plt.legend() + plt.title('words') + plt.gcf().set_size_inches((4.5,4.5)) + savefig('words_generation_1_xmin.png') + plt.close() + + # 2. Example with and without estimate discrete for larger xmin + + data = powerlaw.load_test_dataset('words') + + powerlaw.plot_pdf(data[data >= 10], label='Original data') + + np.random.seed(0) + fit = powerlaw.Fit(data, xmin=10, discrete=True, estimate_discrete=True) + samples = fit.power_law.generate_random(size=(100000)) + samples = samples[samples <= 1e5] + powerlaw.plot_pdf(samples, label='Sampled data\n$x_{min} = 10$, estimate_discrete=True') + + np.random.seed(0) + fit = powerlaw.Fit(data, xmin=10, discrete=True, estimate_discrete=False) + samples = fit.power_law.generate_random(size=(100000)) + samples = samples[samples <= 1e5] + powerlaw.plot_pdf(samples, label='Sampled data\n$x_{min} = 10$, estimate_discrete=False') + + plt.legend() + plt.title('words') + plt.gcf().set_size_inches((4.5,4.5)) + savefig('words_generation_10_xmin.png') + plt.close() + + + ################################################# + # Generating data + ################################################# + + # 1. Theoretical distribution + + pl = powerlaw.Power_Law(xmin=1, parameters={'alpha': 2.0}) + pl = powerlaw.Power_Law(xmin=1, parameters=[2.0]) + pl = powerlaw.Power_Law(xmin=1, alpha=2.0) + + pl.plot_pdf(label='PDF') + pl.plot_ccdf(label='CCDF') + plt.legend() + plt.title('power law, $\\alpha = 2$') + plt.gcf().set_size_inches((4.5,4.5)) + savefig('powerlaw_slope_2.png') + plt.close() + + # 2. Generated data from theoretical distribution + + pl = powerlaw.Power_Law(xmin=1, parameters={'alpha': 2.0}) + pl = powerlaw.Power_Law(xmin=1, parameters=[2.0]) + pl = powerlaw.Power_Law(xmin=1, alpha=2.0) + + pl.plot_pdf(label='Original PDF', alpha=0.7, linewidth=2) + samples = pl.generate_random((10000,)) + powerlaw.plot_pdf(samples, label='Sampled PDF', alpha=0.7, linewidth=2) + + plt.legend() + plt.title('power law, $\\alpha = 2$') + plt.gcf().set_size_inches((4.5,4.5)) + savefig('powerlaw_slope_2_sampled.png') + plt.close() + + # 3. Generated data from theoretical distribution, unbounded + + pl = powerlaw.Power_Law(xmin=1, alpha=2.0) + + pl.plot_pdf(label='Original PDF', alpha=0.7, linewidth=2) + samples = pl.generate_random((10000000,)) + powerlaw.plot_pdf(samples, label='Sampled PDF', alpha=0.7, linewidth=2) + + plt.legend() + plt.title('power law, $\\alpha = 2$') + plt.gcf().set_size_inches((4.5,4.5)) + savefig('powerlaw_slope_2_sampled_large_n.png') + plt.close() + + # 4. Generated data from theoretical distribution, bounded + + pl = powerlaw.Power_Law(xmin=1, xmax=1e5, alpha=2.0) + + pl.plot_pdf(label='Original PDF', alpha=0.7, linewidth=2) + samples = pl.generate_random((10000000,)) + powerlaw.plot_pdf(samples, label='Sampled PDF', alpha=0.7, linewidth=2) + + plt.legend() + plt.title('power law, $\\alpha = 2$') + plt.gcf().set_size_inches((4.5,4.5)) + savefig('powerlaw_slope_2_sampled_bounded.png') + plt.close() + + # 5. Generated data from sampled distribution, unbounded + + data = powerlaw.load_test_dataset('flares') + + fit = powerlaw.Fit(data) + + fit.plot_pdf(label='Original PDF', alpha=0.7, linewidth=2) + samples = fit.power_law.generate_random((10000,)) + powerlaw.plot_pdf(samples, label='Sampled PDF', alpha=0.7, linewidth=2) + + plt.legend() + plt.title('flares') + plt.gcf().set_size_inches((4.5,4.5)) + savefig('flares_random_samples.png') + plt.close() + + # 6. Generated data from sampled distribution, unbounded + + data = powerlaw.load_test_dataset('flares') + + fit = powerlaw.Fit(data, xmax=np.max(data)) + + fit.plot_pdf(label='Original PDF', alpha=0.7, linewidth=2) + samples = fit.power_law.generate_random((10000,)) + powerlaw.plot_pdf(samples, label='Sampled PDF', alpha=0.7, linewidth=2) + + plt.legend() + plt.title('flares') + plt.gcf().set_size_inches((4.5,4.5)) + savefig('flares_random_samples_bounded.png') + plt.close() + + # 7. Power law fitting validation with randomly generated data + + np.random.seed(0) + + alphaArr = np.linspace(0.5, 2.5, 100) + numSamples = 30 # per alpha value + N = 3000 + + fitAlphaArr = np.zeros((len(alphaArr), numSamples)) + + for j in tqdm(range(len(alphaArr))): + for k in range(numSamples): + theoretical_dist = powerlaw.Power_Law(xmin=1, xmax=1e6, parameters=[alphaArr[j]]) + data = theoretical_dist.generate_random(N) + + fit = powerlaw.Fit(data, xmin=1, xmax=np.max(data)) + + fitAlphaArr[j,k] = fit.power_law.alpha + + + plt.plot(alphaArr, alphaArr, '--', c='tab:orange') + for i in range(len(alphaArr)): + plt.scatter(np.repeat(alphaArr[i], numSamples), fitAlphaArr[i], alpha=0.1, c='tab:blue') + + plt.xlabel('True alpha') + plt.ylabel('Fit alpha') + + plt.title('Continuous power law validation') + plt.gcf().set_size_inches((4.5,4.5)) + savefig('random_gen_validation_continuous.png') + plt.close() + + + ################################################# + # Advanced topics + ################################################# + + # 1. Multiple fits + + data = powerlaw.load_test_dataset('blackouts') + + fit = powerlaw.Fit(data / 1e3) + + plt.plot(fit.xmin_fitting_results["xmins"], fit.xmin_fitting_results["distances"], label='KS distance') + plt.plot(fit.xmin_fitting_results["xmins"], fit.xmin_fitting_results["valid_fits"], label='Is valid fit') + plt.plot(fit.xmin_fitting_results["xmins"], fit.xmin_fitting_results["alpha"], label='Alpha value') + + plt.xlabel('$x_{min}$') + plt.ylabel('Distance (KS)') + + plt.legend() + plt.xscale('log') + plt.title('blackouts') + plt.gcf().set_size_inches((4.5,4.5)) + savefig('blackouts_multiple_fits.png') + plt.close() + + # 2. Multiple fits, with constraint + + data = powerlaw.load_test_dataset('blackouts') + + fit = powerlaw.Fit(data / 1e3, parameter_ranges={"alpha": [2, 3]}) + + plt.plot(fit.xmin_fitting_results["xmins"], fit.xmin_fitting_results["distances"], label='KS distance') + plt.plot(fit.xmin_fitting_results["xmins"], fit.xmin_fitting_results["valid_fits"], label='Is valid fit') + plt.plot(fit.xmin_fitting_results["xmins"], fit.xmin_fitting_results["alpha"], label='Alpha value') + + plt.xlabel('$x_{min}$') + plt.ylabel('Distance (KS)') + + plt.legend() + plt.xscale('log') + plt.title('blackouts') + plt.gcf().set_size_inches((4.5,4.5)) + savefig('blackouts_multiple_fits_bounded.png') + plt.close() +