{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Quantile Parameterization Demo\n", "\n", "**Note: This is a legacy notebook that was written for `qp` version < 1. It may not be 100% accurate for `qp` versions >= 1. It is kept available for reference.**" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "This notebook is meant to demonstrate the use of quantile parameterization. Basic usage is covered in the first section. In the second half two different classes of distribution are used to showcase how the various PDF reconstruction algorithms perform." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# Imports and global defaults\n", "import qp\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "# Sets the x axis limits on all plots, rerun notebook to apply changes.\n", "STD_X_LIM = (0,5)" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# Create an Ensemble with a single normal distribution\n", "single_norm = qp.Ensemble(qp.stats.norm, data=dict(loc=3, scale=0.5))\n", "\n", "# Starting with a simple base case. Reasonable quantiles >0, <1.0\n", "single_norm_quantiles = np.linspace(0.001, 0.999, 16)\n", "single_norm_locations = single_norm.ppf(single_norm_quantiles)\n", "\n", "# Create a quantile parameterization ensemble\n", "quant_dist_single_norm = qp.quant(quants=single_norm_quantiles, locs=single_norm_locations)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "piecewise_linear\n" ] } ], "source": [ "# Print out the constructor name\n", "print(quant_dist_single_norm.dist.pdf_constructor_name)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "To specify a pdf constructor algorithm when creating an Ensemble, pass the name as the `pdf_constructor_name` argument.\n", "The available algorithms are defined in the `quant_pdf.py:PDF_CONSTRUCTORS` dictionary.\n", "\n", "If the `pdf_constructor_name` argument unknown or not provided, the default `piecewise_linear` will be used." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "dual_spline_average\n", "cdf_spline_derivative\n" ] } ], "source": [ "quant_dist_single_norm = qp.Ensemble(\n", " qp.quant,\n", " data=dict(\n", " quants=single_norm_quantiles,\n", " locs=single_norm_locations,\n", " check_input=False,\n", " pdf_constructor_name='dual_spline_average' # <-- This is the magic line\n", " )\n", ")\n", "\n", "# You can subsequently verify the reconstruction algorithm being used.\n", "print(quant_dist_single_norm.dist.pdf_constructor_name)\n", "\n", "# The pdf reconstruction algorithm can be redefined after the Ensemble has been created like so:\n", "quant_dist_single_norm.dist.pdf_constructor_name='cdf_spline_derivative'\n", "print(quant_dist_single_norm.dist.pdf_constructor_name)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "# Create an Ensemble with 3 normal distributions\n", "means = np.array([[1], [2.5], [3]])\n", "scales = np.array([[0.25], [0.5], [0.1]])\n", "many_norm = qp.Ensemble(qp.stats.norm, data=dict(loc=means, scale=scales))\n", "\n", "# Starting with a simple base case. Reasonable quantiles >0, <1.0\n", "many_norm_quantiles = np.linspace(0.001, 0.999, 16)\n", "many_norm_locations = many_norm.ppf(many_norm_quantiles)\n", "\n", "# Create a quantile parameterization ensemble\n", "quant_dist_many_norm = qp.quant(quants=many_norm_quantiles, locs=many_norm_locations)\n", "\n", "# The following approach is identical, and is basically syntactical sugar.\n", "quant_dist_many_norm = qp.convert(many_norm, 'quant', quants=many_norm_quantiles)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(3, 100)\n" ] } ], "source": [ "# Create a grid and call `pdf` to return the y values to reconstruct the initial PDF\n", "user_provided_grid = np.linspace(0,4,100)\n", "results = quant_dist_many_norm.pdf(user_provided_grid)\n", "print(results.shape)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(1, 100)\n" ] } ], "source": [ "user_provided_grid = np.linspace(0,4,100)\n", "\n", "# Use the following syntax to retrieve a specific distribution's PDF from the Ensemble\n", "results = quant_dist_many_norm[1].pdf(user_provided_grid)\n", "print(results.shape)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "-0.0013562400032666594\n" ] } ], "source": [ "# Show that we can use different row values, and get different values out.\n", "user_provided_grid = np.linspace(0,4,100)\n", "user_provided_row = [0]\n", "result_1 = quant_dist_many_norm.dist.pdf_constructor.construct_pdf(grid=user_provided_grid, row=user_provided_row)\n", "\n", "user_provided_row = [1]\n", "result_2 = quant_dist_many_norm.dist.pdf_constructor.construct_pdf(grid=user_provided_grid, row=user_provided_row)\n", "\n", "# Expect that this will be non-zero\n", "print(np.sum(result_1 - result_2))" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(200,)\n" ] } ], "source": [ "# Show that you can pass in multiple row index values\n", "user_provided_grid = np.linspace(0,4,100)\n", "user_provided_rows = [[0,1]]\n", "results = quant_dist_many_norm.dist.pdf_constructor.construct_pdf(grid=user_provided_grid, row=user_provided_rows)\n", "\n", "# Expect this to be (2,100), but the `.ravel()` function in the piecewise_*\n", "# constructors convert the results of interpolation into an array with shape = (2*100,)...\n", "print(results.shape)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Single selected distribution from Ensemble of quantile parameterization')" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Show basic plotting\n", "_, ax1 = qp.plotting.plot_native(quant_dist_single_norm, xlim=STD_X_LIM)\n", "qp.plotting.plot_native(single_norm, axes=ax1)\n", "ax1.set_title('Single distribution quantile parameterization')\n", "\n", "plot_index = 0\n", "_, ax2 = qp.plotting.plot_native(quant_dist_many_norm[plot_index], xlim=STD_X_LIM)\n", "qp.plotting.plot_native(many_norm[plot_index], axes=ax2)\n", "ax2.set_title('Single selected distribution from Ensemble of quantile parameterization')" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## Examination of different reconstruction algorithms for various types of distributions" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "### Simple Gaussian" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Original simple Gaussian distribution')" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Same as the single_norm Ensemble created at the beginning of the notebook.\n", "single_norm = qp.Ensemble(qp.stats.norm, data=dict(loc=3, scale=0.5))\n", "fig, ax = qp.plotting.plot_native(single_norm, xlim=STD_X_LIM)\n", "ax.set_title('Original simple Gaussian distribution')" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "# Define the quantiles, extract the locations from the original distribution\n", "single_norm_quantiles = np.linspace(0.001, 0.999, 16)\n", "single_norm_locations = single_norm.ppf(single_norm_quantiles)\n", "\n", "# Create a quantile parameterization ensemble\n", "quant_dist_single_norm = qp.quant(quants=single_norm_quantiles, locs=single_norm_locations)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "WARNING:root:Already using interpolator: 'piecewise_linear'.\n" ] }, { "data": { "text/plain": [ "Text(0.5, 1.0, 'dual_spline_average')" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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bl8lkMqZQKNiwYcPYiRMnTPYx/M0yMzNNthtm08TGxjLGGPv999/Z6NGjma+vL5NIJMzDw4ONGTOGHTt2zOS4LVu2sJCQECYWixkAtmTJEsYYY0lJSeyJJ55gzs7OzMHBgY0aNYpdvXq1Uv4ynPfs2bMmj2vILYcOHTJui4uLY5GRkczBwYEBqJQbbQnHGGMWqYxagKVLl2LZsmXIzMw09gETQloWygOE1A9NMyaEEEKI1aExKMRq6XQ6PKyBj+M4CIVCM0ZECDE3ygMtF3XxEKs1ePDghy7UFBAQgLi4OPMFRAgxO8oDLRcVKMRq3bp1C4WFhdX+XiqV2u7odEJIrVAeaLmoQCGEEEKI1aFBsoQQQgixOjYxSFav1yMlJQUODg60XDghFsAYQ2FhIXx8fExutGbNKG8QYnkNyR02UaCkpKRUe48JQoj5JCYm2sxKuZQ3CLEe9ckdNlGgGG6KlZiYCKVSaeFoCGl5CgoK4O/vb/ws2gLKG4RYXkNyh00UKIbmWaVSSYmGEAuypa4SyhuEWI/65I56dSavWrUKQUFBkMlkCA0NxbFjxx66/+bNm9GtWzfY2dnB29sbM2fORHZ2dn1OTQixUZQ3CCF1UecCZdu2bZg3bx4WL16MCxcuYODAgRg9ejQSEhKq3P/48eOYNm0aZs2ahWvXruHnn3/G2bNnMXv27AYHTwixDZQ3CCF1Vte7C/bp04fNmTPHZFtISAh78803q9z/k08+YcHBwSbbvvzyS+bn51frc+bn5zMALD8/v67hEkIaQUM/g5Q3CGmZGvI5rFMLilqtRnR0NCIjI022R0ZG4uTJk1UeExYWhqSkJOzduxeMMaSnp2PHjh0YO3ZstedRqVQoKCgw+SGkIr2e4c+/0/HM/HN47OXT+HF3Aso0OkuHRapAeYNYk9xiNbacScArP53H8l03sXZRIg4uz4W6RG/p0MgD6jRINisrCzqdDp6enibbPT09kZaWVuUxYWFh2Lx5MyZNmoSysjJotVo88sgj+Oqrr6o9z/Lly7Fs2bK6hEZakFvxhXh29RlkoAyQApACF/7JxseXbmDlpO4Y1sGzxscg5kN5g1iLVYfvYsX+29DqTRdQ979rj5kvtMXUVV6QKW1jnZ+WoF5/iQdH4zLGqh2he/36dbz66qt4++23ER0djX379iE2NhZz5syp9vEXLVqE/Px8409iYmJ9wiTN0LXbBXjyy1PIQBkkGgFCEp0RXuAJXyc5Csu0mLMpGgdvpFs6TFIFyhvEkr48eAcf77sFrZ7Bs1iO3nc9EJjmAIGeQ6J7Eb6zu4VvJyYj9YrK0qGScnVqQXFzc4NQKKx01ZORkVHp6shg+fLlCA8PxxtvvAEA6Nq1KxQKBQYOHIj33nsP3t7elY6RSqWQSqV1CY20ANevFWLyutMolGjgXCjFpCutMfx5N3R9XAFOBszbehF/XEnFS5vOY+Xo7hgzoPJ7i5gf5Q1iaWuO3MOKqNsAgP43vNDznofxd1x/Lb5zvIVUlxJswV2MyHSGN+h9ZA3q1IIikUgQGhqKqKgok+1RUVEICwur8piSkpJKy9sKhUIA/BUUIbWh0+rx2pqLxuLk2di2eOF7P/R61gEShQBioQArJ3fH2C7eUOv0eGPnZaTGl1k6bALKG8SyrqcU4JO/bgEA5nZvg8nBAQAAlyARwl5SYsHqQKyb2AtSnRCpLiXYk5tkyXBJBXXu4lmwYAHWrl2L9evX48aNG5g/fz4SEhKMTa+LFi3CtGnTjPuPHz8eu3btwurVqxETE4MTJ07g1VdfRZ8+feDj49N4z4Q0a998F487igIIdBwmp7bG8xt84RIkNtlHLBTgVf/2cCyWoFiqxaKvr1koWvIgyhvEEvR6hrd+uQKdnmFsF2/83+T2mPC5G9646o9Zv3kj/GVHCEQcBvRxwydTuwAA1l2IRXx2sYUjJ0A9VpKdNGkSsrOz8c477yA1NRWdO3fG3r17ERDAV6WpqakmaxvMmDEDhYWF+N///oeFCxfCyckJQ4cOxUcffdR4z4I0axmpKqy6fQeQAj3vuePpt3zg4Fn1W7dVNxlGfOyHHZ1jcIRLw4G/MjF8pLuZIyYPorxBLOHn6EScT8iDQiLEf8d1fOi+47v7YHt0Eo7fzcLbv17Dhum9kHlbC88OEjNFSx7EMRtoLy0oKICjoyPy8/NpyeoWaOnma9h4JQ7KYgneVXbHhPcfXnBc3lmE+b9exD2ffPgXK3Dos0EQSWhkfkPY4mfQFmMmjaegTIOIjw8ht0SDt8Z2wOyBwTUeE5NZhFErj0Gt0+PJu8HwvGmPF/Z7w9HHJu4KY5Ua8jmkrE2sWmGZBjtv833CL7RtjeELXGo8pstjCjzBAiDUcUhUFGPXtqqnshJCmq+tZxKQW6KBj0iOrLkiRG8qREnOw9dKCna3x3MDggAAx1z5vHHzz5Imj5VUjQoUYtW2nU1EoUqLNh72mPtKEBSuwhqP4QQcHpnvgfZJzgCA9f/E0sBKQloQjU6Pbw/GAgDaR7tCyDj8/WEe/lqSU+OxswYEQSIUIN25BKnOxTj3fSEOf5ZH048tgAoUYrW0Oj02nIgDAMweEASBoPZ3w/TtIcFwMT8V9aYiDyf/zm2KEAkhVmjvlVRkqVSQq0Rol+wEAJAqOfSdXXMXg7uDFI/18AUAXAzOREmOHmc3FGLTlAxk3FI3ZdjkAVSgEKv1/a4EJOeVws1egkfLE0ZtcRyHMVM9EJDuAHDA13/ca6IoCSHWhDGG747FAAC6xLlCKhRgxm5PzD3sC59utVvfZPZAvpsnxqsA+Xb3W05iT9DSBeZEBQqxSjoNw9ojfBNtr1x3SAR1f6u2Gy5HWD6/ENgZYSZirlNfMiHN3T+xObiaXACRjkPnOFd4dJDAva0EIkntW2DbejpgcHt3gANUL93PG2lXqQXFnKhAIVbpwJ5MpNqXQKDnEK7xhEBY++RiIBBxeGy8F9yKZNAKGaJiabAsIc3d9nP8LQ7aJTtDrhHBu0v9pgk/F863ouxPSANnx49hS7tCBYo5UYFCrNLW4/zMnYAMBwya6lzvx+kx2QGzHwsEAPwVn9oYoRFCrFSJWot9V/kLkZBEPm94d61fgRLexg2eSinySzXI61EKAChI1aE4i+6abi5UoBCrk5+mxRl9FgCgR7ErWvWp/30xxHIBHu/tCwEHnE/IQ1wWrRBJSHO1/1o6StQ6uOqk8Mq1AwB4d6lf/hAKODzanR/7FtsuD5FLnDFthyfkTvS1aS70ShOr8/OOZBTLNZCqhRg/yBtcHWbvVMVDKUN4GzcAwO4LyY0RIiHECu0q/3wP9fJE60FyuAaL4ORf89IE1XmsJ1+gnMnJRsBYCTxDJBCIGpaPSO1RgUKsCmMMv11NAQC0TnVE9wkOjfK4j5cnmm3HE1GUqW2UxySEWI+MwjIcv5MJAJg7PRhPrHLHc3u8wXH1LyhCvJQI8XKARsfw+2XqIjY3KlCIVYm9UIrr9nkAgIEKDzi3apwlpoOSHSHWCpCmKsMvO2iwLCHNzZ6LKdAzoEcrJwS5KRrtcQ0XN9T6an5UoBCrsuP3FGhEejiUiDF2tEejPW6rzjIEpfGLNP1xia6ECGlufr/If647ZtZ/UH1VJnT3BccB0fG5OHMwD6e+KUBhGrXCmgMVKMRqMMZwNDEDANA63RHtIxvvKsglUIxQkSsA4Jo4D/kpmkZ7bEKIZaXnl+JiUh4AQPybDKX5jTfTxlMpQ89WfNHzvxWxOP5VPm7+VQqmp9tnNDUqUIjVUKn0iPMoBACEe7hD6tC4b8/IPh4Q6TgUKNQ4uC+rUR+bEGI5f0anAxzgmWsHRZkYyRcad72SyI78go+xXgUAgMOf5OGbyFTEHCtt1PMQU1SgEKtxPikXRTotXBQSzP88sNEfv9NQe/hn8oNu911Mb/THJ4RYxr7L/LiyoDQlOj+qQPBAWaM+fmQnLwBAslsRVCK+daYwTYcjK/Ib9TzEFBUoxGrsv84XDcM7eEAkavy3pnt7MTqWOQEALmiyoSrUN/o5CCHmVVimwbl0/i7FwWlKeHYQ12vl6YcJclOgrYc99BzgMk8PhRufn3JiNdDrqKunqVCBQqwCYwz7r/FXQSPLr1YaG8dxGNHZExwDMh3LcPpgXpOchxBiPkduZ0LLGJyKpHAulsE5sHFm/j3IkJeuifPg051f/E2vBQpSaGXZpkIFCrEKh/7OQkp+GewkQuOiak2hx3AlvHP4wbe/nUppsvMQQsxj/zW+5TW4fJaec4C4Sc4T2Ykfh3L4VgYUre5/debG04D7pkIFCrEKW37j773jm2IPdVbTNZn6hUrRNtcRAHAmLxt6LTXPEmKrtDo9Dt3iZ/4FpSkhFANK7/qvHPswXXwd4aWUoVitQ7JTkXF7bjxNOW4qVKAQi9OU6nG5LA8A0KbQEQ5eTZNgAEAo5jCotTsAIMW5GPlFdPVDiK26kJiHwjItZGohPPLs4NRK1OjjTww4jsOQED53XGN5xu05VKA0GSpQiMVdOV6EdMcSAEBEiFuDlqaujRnv+8DfRQ4tGM6n5jbpuQghTefILX5pe/9MBwjAwSWwabp3DCLa8QXKuewcjH7PBVN/9ED4y8omPWdLRgUKsbg/j/NrGLgWyBA6yLHJzycUCYyJ5sjtzCY/HyGkaRg+v+MivNDveQe0GyFv0vOFtXGDUMAhNqcYjoM4+PaQQu7YdC2+LR0VKMSiGGP4J4VfNK1Vtj0C+jXu+gXVGdSWL1COUoFCiE3KKlLhSjK/DsmUSb4Y+JoTOo5rvNWnq6KUidGzlRMA4Ogdyh1NjQoUYlHZMRrcVfCrM/ZycYVEYZ63ZFgbN4gEHOKySxB9Js8s5ySENJ7jd/gLm47eSng4mOfCBrjfzWPoXiJNhwoUYlGHDmSjRKaFSMthSB93s51XnwP45PFXWz9tTTLbeQkhjcPQvRPR3nx5AwAi2vE3MT1xNwu3jxYjelMhMm417tL6hEcFCrGov6/yUwT9su3RPsLObOd18BQiMJdf9v58QS50GppuTIit0OuZsXu2g84ReYlas63o2slHCVeFBMVqHVa9lYC/P8xD3Mkys5y7paEChViMukSPK2X8LJp2Gke4BDXNCpBV4QQcwgP4BeESnQoRe45u+kWIrbieWoDsYjUUEiGuL1Lju9Gp2DItwyznFgg4DCrv5klw529umptAU42bQr0KlFWrViEoKAgymQyhoaE4duzYQ/dXqVRYvHgxAgICIJVK0bp1a6xfv75eAZPmoyBfizRXfnrxgDZNP734QeHhLpCrhNCKGA4fp/7kpkZ5gzSW43f58Sf+BfYQ6vmvMSd/813gGFa7TnLjF2zLjaMCpSnU+S+6bds2zJs3D6tWrUJ4eDi++eYbjB49GtevX0erVq2qPGbixIlIT0/HunXr0KZNG2RkZECrpT9oS3ezqABaMHgqpZiywNvs5w/sJ4fvdnvc9c3HiZhszEaA2WNoKShvkMa0/yS/vL3bvfvdwl6dJWY7f1hrVwBAplMpVCIdtaA0kToXKCtWrMCsWbMwe/ZsAMDKlSvx119/YfXq1Vi+fHml/fft24cjR44gJiYGLi4uAIDAwMCGRU2ahZP3+Kug8NZuEMvM39to7y5EiMARd5GPW7oCqAr1kDpQr2dToLxBGotaq8fVfH56sV+WPZwDRejyuALdJ9mbLQYfJzmC3BSIzSpGimsRpOmO2D47A+EvO8K3h9RscTR3dcrGarUa0dHRiIyMNNkeGRmJkydPVnnMnj170KtXL3z88cfw9fVFu3bt8Prrr6O0tPo+f5VKhYKCApMf0vycuJcNgJ/yaynhbflzpzmV4PbpEovF0ZxR3iCN6WJiHtTQQ64SwqVQhknr3NH3OSWEYvN2ERtaUQzdPPGnVdgyPQMZN2lGT2OpU4GSlZUFnU4HT09Pk+2enp5IS0ur8piYmBgcP34cV69exe7du7Fy5Urs2LEDL7/8crXnWb58ORwdHY0//v7+dQmT2IDk+FJcScoDAIS3cbVYHKH9HeFQIoZewHDwlHkG2bU0lDdIYzpRPv7EN8seAiEHhZtlVnI1jEPJ61AKRz8+BqYHUi5RgdJY6tWe/eBgRsZYtQMc9Xo9OI7D5s2b0adPH4wZMwYrVqzAxo0bq70aWrRoEfLz840/iYmJ9QmTWLHN65KhZ4CrWgpprvkGtz2oVW8Z/LL5puF/ErMtFkdLQHmDNAZD17Bftj3s3YVNdnPAmvQPdgXHAQllJQh9/f5YmMJ0nUXiaY7q9M3g5uYGoVBY6aonIyOj0tWRgbe3N3x9feHoeP8eKx06dABjDElJSWjbtm2lY6RSKaRS6sdrzs6k5ABugE+aPew9LHcvC5lSgM4yJ9xALhKdi6DTMLM3FTd3lDdIYylWaXEhIQ8AP/7Eoa3lcoezQoKO3kpcSynAbWEB+s5SwsFbCJ+u9B5sLHVqQZFIJAgNDUVUVJTJ9qioKISFhVV5THh4OFJSUlBUVGTcdvv2bQgEAvj5+dUjZGLrClK1iJHw4wM62ztCYmfZgakv/zcQAJAsLEGBWmPRWJojyhuksZyNy4FWz+AhkWHkM+7oMM58iztWxTAO5UJ2LgbNd0KPyQ7w7Gi+2UTNXZ2/GRYsWIC1a9di/fr1uHHjBubPn4+EhATMmTMHAN/MOm3aNOP+U6dOhaurK2bOnInr16/j6NGjeOONN/Dcc89BLm/aO08S63T5RCFylCoAQERn8y5TXZXAQDu087QHY8A/sTmWDqdZorxBGsOpGL4bdnBXNwx81RE9pzhYNB7DAP/TMZQ3mkKdO/8nTZqE7OxsvPPOO0hNTUXnzp2xd+9eBATwa0ikpqYiISHBuL+9vT2ioqLwr3/9C7169YKrqysmTpyI9957r/GeBbEph8/zi6K5FsjQ6UnzTQ18mH7BrridXoTTMdkY1dnL0uE0O5Q3SGMwFAL9W1tuYH1FvQKcIRRwSMgpQXJeKXydqHhuTBxjzOpvQlJQUABHR0fk5+dDqVRaOhzSQI/P+gfn3bPQPcENOzb2gUhi+TEfe6+kYu7m8wjxdMDvcwdCJLV8TNbEFj+DthgzqV5hmQbd34mCTs9w8s2h8LGSYmDC1ydwKTEPnz3RDSP8vFCYpoNnRwnlkHIN+RzSqlTErPKStIiV8fev6OLoZBXFCQD45fN3Nr6ZXoizv+dbOBpCyIPOxedCp2fwU8qhKBZbzQ0++wXzCwnu3JWCb0ak4qdnM5ATR2PZGgMVKMSsrpwsQK4DP/5kQGfraKYFACeJBM6F/Oh7QxcUIcR6nC4ff+KTpcC3I1OxomcSirIsP6W3XzCfx+4KCo3bimiqcaOgAoWY1ZEL/BoGrgUydOpn2QFuFfl0k8Ivlx8PE52Wa+FoCCEPMow/8c3hP6cCIWDnbPmvMMM4lAxdGQpl/CJtBWlUoDQGy/91SYtyU81PL/bPs4dXF+uZjieScuji4AQAiJUUIj+Fbv5FiLUoUmlxNZnvenVP5KcW23tYbpG2ihxkYnT25dfrSXEtBkAtKI2FChRiVhl+/Af4qSk+VjP+xMDQ5ZStLMP1k0U17E0IMZdzcTnQ6Rn8neUQp/OTTx28LLdI24P6BfHjUJJd+bxRkEYXOI2BChRiNllFKtxO5z/Ao4dWvYKoJXXp58CPQ+FoHAoh1sTQvdPDw9m4TelluVtkPMgwDiW5vAWFlrtvHFSgELM5U74IWntPB7gorKd7x8C7qxR+eTQOhRBrYxgg20nhZNxm72k9LSi9Ap0h4IAChRpFMjV18TQSKlCIWTDG8E95kulbPi3P2oikHDor+b7kOGkh8pOpmZYQSyuuMP6kDbs/sF5pRV08DjIxOvmUj0NxKUZhmg42sMSY1aMChZhFXqIOfx5MBwAEa6xn9s6DBnTkm2qzlGW4cYrGoRBiaecTcqHVM/g6yWGXJzZut6YxKADQ1zgOpRiaUgZVARUoDUUFCjGL6ycLkSEvAwB4ZSosHE31uoU5wrFYAnDA6VvZlg6HkBbP0DXcJ8jFZGyHgxWNQQH4+AAg1aUY4GAVa7TYOipQiFkcuZAFcIBTkRRd+ltvC4pXF4nxSqi0h9rC0RBC/ikfINs3yAUho+wQPEgGAHCwojEowP0CJddBhWlH3eHWWlzDEaQmVKCQJscYw4W0PAD8kvJenaxvgKyBSMJhZAQ/w4jubEyIZZVpdLiYmAeALwBa9ZGh3wtKOHgKYediXV9fTnYShHjxF1/RSTTIvjFY11+YNEu58VrEy8vvv+PkBKHYutY/eZBhEO+V5HwUq2igLCGWcjExD2qdHu4OUgS58V3Dvt2lePonD3AC68sjhtbXf2KyodMwq7lfkK2iAoU0uVuni5HpWAoAGNDRzcLR1MzP2Q6+TnLo9AznE+hKiBBLqTj+hOPuFyQOntY1/sSgTxA/yP6f2BycXF2ATVPTkX6DuorriwoU0uSORWeDcYCyWIIe4bZx2/uOCn7K4Mb/JdF0QUIsxFCglO0SYv0jqTi/ubCGIyzLMA7lVlohjv6Yg4wbGvw4OR1HV+ZBq6I8UldUoJAmxRjD+bTym3wVKODZwXrHn1SkvMUPxLteko+8RBqNT4i5aXR6RMfzLZjuyXbIjtFCXWzdX/LuDlIEuyvAABS25+/aznTAP2sL8f2TaUg6r7JsgDaGChTSpHJitYiT8+uJdHG0/vEnBgM68F1R6U4luHu62MLRENLyXE7KR6lGBwehCC6FUgCAnav1f2X1Le/mUUzUI/xlJQTlvVE5sVpsmZ6Bvz/MhV5n3YWWtbD+vzaxaXfPlCDDiR9/El6+CJot6B3mCLsyEfRChuPRNJuHEHMzdO+ESBzBgb+wsXO1rqnFVTEMlD2bkIOwlxwxfYcXvLuWtxwzIHpTEWKOllkwQttBBQppUuoeaugFDC5CCcKHO9d8gJXw7iyFX375fXmSc2gcCiFm9k8sv1BisP7+ukkKG2hBMYxDuZqcj8IyDdzaiDH1Rw+ETrM37pOfRLMDa8P6/9rEpp0rnwUzoLMb3NrYxvgTABCKOXSyN9yXpwi58ZRQCDEXnZ7hXByfO1oV3f9it3Ox/hYUHyc5/F3k0DMYx9AIhByCwuXGfUpy9ZYKz6ZQgUKalOEqyFpvEPgw4SF8l1SaSzFi/im1cDSEtBzXUwpQpNLCQSaCU7bMuN3aFmerTt8K040NKsZekksD72vDNv7axCaptDpcSMgDcL9f1pb0H+AMmUoIrZDh5Dkah0KIuRgubHoHuqAsm29tENtxEMtt4yvL0M1zpkKB4hosxnO/euGV4z6I/K/tdHdbkm38tYlN2romBSqtHs5SMYJdrfcGgdXx6nh/HMo5GodCiNkYWh76BrmgpLxAUdjAAFmDfuUtKJeT8lCq5ltLRFIOrq3FkDsJrXIVXGtEBQppEowxRJ3IBAC4JdkBsL0PpFDMoZND+TgUWRFyYmkcCiFNTa9nOBvHFyi9/F1QVsAXKLYwxdjA30UOL6UMGh3DBVqNut5s5y9ObErWXY3x/judHBwhENpegQIAw/u7AwCyfEpg52mbz4EQW3I7oxB5JRrYSYTo5KPEo1+4InKJM0Kfsd67oD+I4zjjuLvTdNPReqMChTSJ2H9KkepSAuD+ome2aMxETyhlIpRodbiTW2TpcAhp9v6J4b/QQwOcIZMJ0XaYHbo9ZY+QUXYWjqxujANlY7KN2+4dKcU/awtw6JNcupFgLVCBQprEyegcaEV6SNVChA+0vQGyBkIBZ7wB2OkKiYYQ0jQMn7N+wbazsGNV+pW3oFxIzEOZhh+HcnlnMY6uzMe574tQmkdTjWtCBQppdEzPcC6F73f1L7CHZ3vbWf+kKoZEczqGmmoJaUp6PTMOkO1ng0sTVBTkpoCHgxRqrd44m9HOucJU42yaalyTehUoq1atQlBQEGQyGUJDQ3Hs2LFaHXfixAmIRCJ07969PqclNiLztgYJCn78SWelk82OPzEwTJE+fScb907Seij1RXmD1ORORhFyitWQi4Xo4uuE3HgNks6rkBuvgVZtW10i/DgU09ZXecUChRZrq1GdC5Rt27Zh3rx5WLx4MS5cuICBAwdi9OjRSEhIeOhx+fn5mDZtGoYNG1bvYIltiD1zf/zJwA623UwLAG4Fckg0ApTodPhzZ4alw7FJlDdIbRjWP+kV6AyJSICL24uxZVoG1o5NQ+ol27sTsKEVyPC8Kt5LqCSHWlBqUucCZcWKFZg1axZmz56NDh06YOXKlfD398fq1asfetyLL76IqVOnon///jWeQ6VSoaCgwOSH2I5T53OhMYw/GWDbzbQA4NleAr8Cfj2Us0k5YHrbupKzBpQ3SG0YWhoMrZYVv8Rt4UaBDzKMozmfwI9DqdjFU5pDLSg1qVOBolarER0djcjISJPtkZGROHnyZLXHbdiwAffu3cOSJUtqdZ7ly5fD0dHR+OPv71+XMIkFMT1DdArfh9wcxp8A/H00OpfflyferhBZ9zQWjsi2UN4gtcEYM87gMXyxGxZpA2xrHRSDYDcF3MvHoVxMzIPcmVpQ6qJOf/GsrCzodDp4enqabPf09ERaWlqVx9y5cwdvvvkmNm/eDJFIVKvzLFq0CPn5+cafxMTEuoRJLEivA0q6802xPb2dm82KieEh/FTpFJdixP1Dt0qvC8obpDbuZhQhu1gNmViArn5OAO5/iQtEgExpewUKx3HG1qB/YnJMiiwag1Kzev3FOc70S4cxVmkbAOh0OkydOhXLli1Du3btav34UqkUSqXS5IfYBiZguFmWDwCYNsfPwtE0noEDXSHRCKAW63E6mlaGrA/KG+RhTpV374QG8ONPAKCkvBvEzkVY5XvFFhhag07FZJnO4qEunhrV7tKknJubG4RCYaWrnoyMjEpXRwBQWFiIc+fO4cKFC3jllVcAAHq9HowxiEQi7N+/H0OHDm1A+MTaXE7OR7FaB0e5GB29m88XhHcIPw4lxrUAZ5NzwPStmk3rUFOjvEFq49Q9vkDpX/6FzvTM2IJii907Bv1b3x+HIqiwGC518dSsTn91iUSC0NBQREVFmWyPiopCWFhYpf2VSiWuXLmCixcvGn/mzJmD9u3b4+LFi+jbt2/DoidWp2KSETSjL3BOwKGLgxMAIM6+EJm3aRxKbVHeIDXR65mxBaV/a747taxQD3357a/sXGxvgKxBsJsCnkp+HMqllDx4dhTDt4cEnh1sf3xeU6tTCwoALFiwAM8++yx69eqF/v3749tvv0VCQgLmzJkDgO8HTk5Oxg8//ACBQIDOnTubHO/h4QGZTFZpO7F9BalaHIzmp+GGt7H96cUPGtTBDb/eS0CKSzHu/VMKjxBKMLVFeYM8zPXUAuSVaGAvFaGbHz8gvTjzfheIwoZbUDiOQ3hrN+y6kIyT97Lx+vb2lg7JZtS5QJk0aRKys7PxzjvvIDU1FZ07d8bevXsREBAAAEhNTa1xbQPSPF35swiX0vMAIeCVqrB0OI0ufKALZNeFKJPqcPJCDvpPd7R0SDaD8gZ5GEPLa58gF4iEfDFy9ddi4+9tuQUF4Lt5+AIlCwAVKLXFMcasflGHgoICODo6Ij8/nwa+WbGP/nUPqxU3YVcmwpFXhsC9TfNqYWB6htEvncRN5zxM8QrA8nkt52reFj+DthhzSzVzwxkcupWJt8Z2wOyBwQAAdYkeGx9PQ36yDk99647A/jILR1l/SbklGPDRIQgFHC4tiYS9tM5tAzarIZ9D2203I1ZFr2U4n8nPbgkodIBba7GFI2p8nIDDMzN9AQCxdoUWjoaQ5kGj0+NM+f13DANKAUBiJ8CYD1wxeYNtFycA4OdshwBXO+j0DGdj6Z5etdVyyjjSpNJvqJGg5L+0e7g42eyUwJqElQ/gOx/PrwwpE9t20zMhlnYhJhfFah1kGiG8NHYmv/PrKbVQVI0vrLUr4rNLsGd/KpLfZSjN0WPkMme06mPbxVdTohYU0ihunSxBuhN//52ILh4WjqbpBLkp4KWUQa3TIzqe1kMhpKHWruQX1PPNsseBZbmwgVEH9WKYnXQxJw+pl9TIS9SiKIOmGj8MFSikwfQ6hj8PpkMvABxKxOgzuPkOHuU4DmHlzdC//JmKglSthSMixHaVFehxTZUHAPDLVaBVXxlYM/3ONqzvEldWhFIxnzdoNdmHowKFNNi9w6W4CX712I6cE5xbNb/xJxV1FDsBAA5fy0T0JhqLQkh95WSojHc+j+jgjv4vKiEQNc/uYXcHKUK8HMAAJLkVAQBKsptpNdZIqEAhDXbuhyIkuPNf1KPCK68M2tyM6OUOAMh0LMXpX/OhKqKrIELq48StHOgFDA4lYgQ42dV8gI0b2Jbv5kksz5e3o0pRkktFSnWoQCENknpFhZvXCpHroALHgEfHeFk6pCYX0EoBX84O4PjZPFd2Fdd8ECGkkpPxWQAA/0wH2Lk0/zkbA9vyFzfJ3kVgYMiN12LXy1lQl9BFTlWoQCEN4hoshsMM/sPV1t4BzvbNZ9T9wwzpzCeaRLdCRG8qhF7bPAf2EdKUzmXwU279s+xh59L8v476BLlAIhKgQKyByp+/XUbqZTX2LMyGTkM55EHN/x1BmpREIUCCK9+fOqJX8+/eMRjRm3+uie5FyE/R4vaBUgtHRIhtSc0vRWJZCcAAvyx7yJ2b/9eRTCxEn0AXAIDTCwxSB368TeyxMux7O6fZzmCqr+b/jiBNSq9nOH6Xb6aNCHG3cDTm0yfQBWKBAEVyDXLtVTj3fSElF0Lq4NgdPm945Mkh04hsfjn72jKMQ7mQn4vHvnSDsHzBbZGUA6OeHhNUoJAGuZ5agJxiNRQSIXq0crJ0OGYjlwjRJ9gZAJDoVoTUK2okX1BbOCpCbMfx8gKlVaYDAMCuBbSgAPfHoZyOyYZnDwnGfeyK/nOUiFziDIGwec5gqq/mPyqJNIkLWwuRcVODK134JNO/tSvEwpaRYAwGtnXHibvZSHQvRLc4N5z7vrBZrXxJSFOp2PI6790gdHJwgtK7ZbSghHg5wM1egqwiNaLjc9F/uCvaDbd0VNapZX2jkEah1zKcWV+IyzuKsXNfCgAgol3L6d4xMDznZLciaAV63DtSimJa14CQGl1KykNOsRoOUhH6hrjAuZUIQnHLaD0QCDgMKm9FOXwro8p9Mm6qEX+6zJxhWSUqUEid3T5QioIUHcrEWqS78FNsB7dvvsvbVyfEywHejjJohQzyiTrM/sMbCteWcRVISEMcupUJABjYzq3FtbwCwJAQPl/+fbNygZJwpgxbZmRg97+ykHpFZe7QrErLe2eQBmGM4dz3/CJDiW5F0HNAWw97+Ls0/0WWHsRxnLEwy+lSAkdf6jElpDYOlX8xt8QLGwAY1NYdQgGHOxlFSMwpMfnd5R3FUBcxaEoZds7NQm68xkJRWh4VKKROki+okXqFHwya1pafXjw0pGUmGeD+c//7ZgbN4iGkFjIKy3Almb81hmifBCfX5OPu4ZY1Td/RTozQVvwg+we7eUa96wK/XvxYttJcPX5+MRNFmS2z65gKFFInZzfyrSd6MMS58P8/pAUXKOFtXCERCpCUW4p7mXzBptMwWnSJkGocLu/e6eShxL2tapz4XwGu7Wl5qzFX180jknJ47Es3uLXl72mWn6TDjjmZUBW2vDnIVKCQWsuN1+DuIf5KpyhIhQKtBg4yEUIDnC0cmeXYSUToG8wvvLT/YgZOf1eAbyJTcGNvSQ1HEtIyGVoM+nq6Gre1lCnGFQ0pXzfq5L1slGlMW0hkSgGe+sYdSh9+TFvmLQ12v5oFraplXfi0vHcFqbfoTUVA+eejZCBfqAxq694iB7lVZOjmOXA1Hce+yEdxpp4WbiOkChqdHsdu89OLQx3uFyhy55Y3uLy9pwN8HGVQafU4dS+70u/tPYR46ht3yJ34/Jp4VoU/FmVDr2s5eaVlf7OQWivN1+HqL3wzrFjO4bo4D0DL7t4xMBQol7Py4NSN/0hl3tYg/nTLHoFPyIPOxOagUKWFq0ICf73CuL0l3IfnQRzHGfPngRvpVe7jEiTGE6vdIJbzU7Bv7y/F3x/mmStEi2t57wpSL/mJOti58m8XrwlC3EgvhIBr2QNkDQJcFWjnaQ+tnkETeb8oMcx2IoTw/rqWBgAY3sETZbn3x1TYtcAWFAAY0ZG/p1fU9XTo9VW3jHh3kWLC564QiABwgFsbsRkjtCwqUEiteHWWYPYf3pjwuSuyuvMtKX2CXOCikFg4MuswspMXAOASl2PsN449Xoasuy13iiAhFen1DPuv8S0FIzt7orRCgSJvgS0oABDW2g0OUhEyClW4kJhX7X5BA+QY9a4LHlnhiu6T7M0XoIW1zHcFqReBkEO7EXY4msSPwjd8KZP7r8XRO1no/PT9NWGoFYUQ3uXkfKQVlEEhESKstZtJgdISB8kCgEQkMHbz7C9vXapOp/EKtB/RstabapnvClJvWUUqnI3PAQBEUoFi1MlHCV8nOUo1OuR3KTXeRv3678UozmqZaxgQUpGhe2dwiAdkYiFKcu9/LuQt5E7GVTFc3Px1La3OA+tvRZUgKbr5jnWjAoU8VOZtNbLu3e+mOHA9HYwBXXwd4eskt2Bk1oXjOER24vuTD97NQNcn+WZYnQa4sLXIkqERYhUMBYrhC7mkYhePY8v9Khrc3h0SkQBx2SW4nV77XHFhayH2LMjGrn9lIie2eXYlt9x3BamVw5/mY8OENOx4KRPF2boKScbTwpFZH0PiPXgzHd2m2PGD2gBc3FoETWnLW2SJEIO7GYWIySyGRCjAkPb8+h/enSXw7y2FTzdJi7lRYFUUUhEGtnEDcL+IqwnTM9w9VAYwQFXAcPaH5tmVTAUKqVbmbTXiTvJ31MyJ1UAj1eHEXX6+Po0/qax3ID9oOK9Eg6vF+Wg/0g4SBYeOj9hBp7Z0dIRYzp9X+C/esDaucJDxs1CGLXLG5A0eeHozXewY8uneK6m12p8TcBi73MX47/wkbZPEZWn1KlBWrVqFoKAgyGQyhIaG4tixY9Xuu2vXLowYMQLu7u5QKpXo378//vrrr3oHTMzn3A/3mxtDn3HA/pvpUOv0aOdpj7aeDhaMzDoJBRxGdeYTzZ6LKRi80AlzDvhg6P85Q9aCm7ANKG+0TIwx/HopBQAwtou3haOxTpGdPCEWcriZVog76bVrDZE7C4yttCU5zbOFts5Zc9u2bZg3bx4WL16MCxcuYODAgRg9ejQSEhKq3P/o0aMYMWIE9u7di+joaAwZMgTjx4/HhQsXGhw8aTpFWTrc+IOfTix14NDlcQX2XOSTzITuvpYMzapN6OYDANh3LQ0iZ0DqQIUJQHmjJbuRWoi7GUWQiAQY2ZlaXqviZCdBRDu+62tPeTFXE47jIC+f/VRxRlRzUufsuWLFCsyaNQuzZ89Ghw4dsHLlSvj7+2P16tVV7r9y5Ur83//9H3r37o22bdvigw8+QNu2bfHbb781OHjSdC78VARd+birbhPtkadT4+Q9fonq8V19LBiZdesd6AJvRxkKy7TGm6IRyhst2a+XkgEAQ9t7QFnevcMYo1tBPGB8+cXNnksptX5tDAvcleTomuXrWacCRa1WIzo6GpGRkSbbIyMjcfLkyVo9hl6vR2FhIVxcXKrdR6VSoaCgwOSHmI+6RI+L2/juHYEI6DnFHnsvp0LPgO7+Tmjl2rLm4teFQMBhXFe+Gfu3CldCpfk6nP62AOk3W95gFMobLZdez/D7JX5cxSPd71/YHFmRj28jU/HDxDTjLTRauhEdPSEXCxGfXYLLSfm1OsawwJ1eC6iLWniBkpWVBZ1OB09P00FNnp6eSEur3ejjzz77DMXFxZg4cWK1+yxfvhyOjo7GH39//7qESRro2p4SlOXzTYYho+zg4CUy9iFP6E6tJzUxdIEduJGOwjINks6r8M3wVBz7Mh9nNzTP0fYPQ3mj5YpOyEVyXinspSLjbTGu/lKMsxsKUZCqQ/p1DRz9Wu4aKBXZSUTGpe9/vVi7bp6KtwiouK5Mc1GvDnKOM50SxhirtK0qW7ZswdKlS7Ft2zZ4eFR/D5dFixYhPz/f+JOYmFifMEk9MD1D9I/3v0R7zXBAQnYJLiTkQcABY7vSILeadPJRIthNAZVWj/3X0uHZUQyRjP983NxXgoLU5jniviaUN1qeXy/y3TuRnTwhEwtx70gp9i3JMf5+4KuO8O8ls1R4VueR8m6e3y+nQFfNvXkqqrgCb3McKFunAsXNzQ1CobDSVU9GRkalq6MHbdu2DbNmzcL27dsxfPjwh+4rlUqhVCpNfoh5xJ4oQ248/wXaqo8UniES7IjmE314Gzd4OFAyqQnHccZWlJ+jEyGWCYz3z2A64PzmlrVwG+WNlqlMozMOrH+0uy+SL6qwZ2E2WPmFfs+p9uj7PM0GrGhQO3c424mRUajC0ds1j2GzcxVAJOXg4CWETt3Cu3gkEglCQ0MRFRVlsj0qKgphYWHVHrdlyxbMmDEDP/30E8aOHVu/SIlZBIbJMGGlK3x7StBrugN0eobt55IAABN7UZN5bT3Zyw8cB5yOyUFcVjF6TLGHsPy+ipd2FEFV1PyudqpDeaNl2nc1DQVlWvg6ydFB4IhdL2dBW8Z/ibYfKcfQN51q1YLWkkhEAjzWww8AsPVs1TPcKuo7W4l553wx54APWvVpfhePde7iWbBgAdauXYv169fjxo0bmD9/PhISEjBnzhwAfDPrtGnTjPtv2bIF06ZNw2effYZ+/fohLS0NaWlpyM+v3SAgYl4CIYd2w+0w9QdPBA+S4ejtTKQVlMHJTmxcyp3UzNdJjkFt+WmD288lQuEqRKfxCgD8YLYru1vWwEDKGy3PtrN8y+uEEB/snJNlHNfWqp8UY5a7ghNQcVKVSb35C8GDNzKQUVj20H0FQq5ZF3l1LlAmTZqElStX4p133kH37t1x9OhR7N27FwEBAQCA1NRUk7UNvvnmG2i1Wrz88svw9vY2/rz22muN9yxIk+A4zljFP97DD1IRDWari8nliebn6CRodXr0mna/OTv6x0Lotc2vSbY6lDdalrisYpyKyQYHQLJJjsI0vl/Ho4MYj650g0jSfL9UG6q9lwN6tHKCVs+w63yypcOxKI7ZwOTpgoICODo6Ij8/n/qVmwjTs0pXNBmFZQhb/je0eoa/5g1Cey/qL64LtVaP/ssPIrtYje+m9cKIjp7Y+VImYo7xV0XjP3VFyCjbmLJti59BW4y5ufh4302sOnwPA4LcMPJQINKuquHkL8LUHz2gcKMLnZpsO5uAf++8giA3Bf5eGGHTrSQN+RzSMpcEAHD4s3zseCkTcafKjAv+7IhOglbP0KOVExUn9SARCfBEKN+f/NM/8QCAXtPvv47nvi9slosrkZZNrdXj52h+3NrTYa0wab07Oo6zw5PfuFNxUkvjuvpAIREitrwlqjpaFcOB93OxZ2EWjn6eZ74AzYQKFAJVkR6XdxQh9lgZdr2cidI8PTQ6PX44yX+pTu3TysIR2q4p5a/doVuZiMksQqu+Uri351fTzI7RGJu+CWku/riSgsxCFTwcpBjWwRMSOwHGfugK51YiS4dmMxRSER7twc8E3HAirtr9hGLg4vYi3PqrFHGnHj5exRZRgUJweWcx1MX8lXynRxSwcxZi75VUpBWUwc1earICJKmbIDcFhpUvULXhRBw4jkP4y44Y/IYT5hz0gdKbkjZpPhhj+N9v9wAA0/oHQCKir5j6mhkeBIBf8DEuq+pB9ZyAg9yx+d6Ph949LZxey3B+U4WF2Z51AGMM64/HAgCe7RdAg2MbaNZAPtHsiE5CXokabYfK0Xu6A6T29PEjzcum75Jwr6QIIj2HR4LopqIN0cbDHoPbu4MxYOPJuGr3sytf7r6EChTS3NyOKkVBKt/NEDxQBtfWYkTH5+JSUj4kIgGe7kfdOw3VP9gVHbyVKNXo8NOZmtc2IMQW3dpfgvXlX6TtE52RF938vjDNbdYA/uJm+7lE5JdqqtxHXr7cvbaMQV3SvF5zKlBaMMYYzn5vuqw9AHx3LAYA8Fh3X7jZSy0SW3PCcZwx0Xx/Mg4qrem4k9I8XYtauI00PwlnyrB5WQpiPfkbND4bGoCuT9pbOCrbN6CNG9p7OqBErcNP/1R9cWNoQQGaXzcPFSgtWPJ5NdKu8nfX9QgRo1UfKa6l5OOva+ngOGB2edcEabjx3bzhpZQhvUCF7eULWBWmaxH1Xi7WDE/FhZ9a1vL3pPlIv6nG7n9l4Z+gdIADunDOmLSQ7tnVGDiOw/ODggHwF47Fqsr38ZJXvGFgTvMadE8FSgtm0noy3QEcx+GLA3cA8NPc2nrS1OLGIhUJ8fKQ1gCA/x26izKNDjo1cHFbEbRlDOd/KoS2Gd5LgzRveYla7HgxE+koxW3fPADAe3M62vS6Hdbm0e4+CHS1Q06xGt+fiqv0+4o3DKQWFNIs5MZrcPdQKQDA3kOIkFF2uJKUj/3X0yHggNeGtbVwhM3PxN7+8HHkW1G2nEmAk78IbYfJAQDFWXrc3Fti4QgJqb3ibB1+fjETJdl6nG2XAcYBw9t7oFuAk6VDa1ZEQgFeLc/H3x6NQWGZ6VgUeYUunuY2UJYKlBZKXcLg15MfX9LzaXsIxRw+P3AbADChuy/aeFD/cWOTioR4ZSifaFYdvodStQ69KyzcdpYWbiM2Ql2ix86XMpGXoEW2fRnu+OQBAOaPbGfZwJqpR7r5INhdgbwSTaV1Ueyoi4c0N54dJJjyvQee2eKBbk/Z48TdLPx9MwMCDvjX0DaWDq/ZejLUD37OcmQWqvDN0Xvw7SGFdzf+NsdZdzSIOdr8FlsizY9QzME1WAwGhjPdUwEOGNXJC518HC0dWrMkEgqMrdrfHLmHjIL7ecI5UISQUXL0mGoPjxCJpUJsElSgtHDeXaQQKoCle64B4Nc9CXan1pOmIhEJ8OboEADA6sP3kJRbgr7P3W9FOfVNAbWiEKsnFHMY84ELZNO1iHEqhFjI4d/l72vSNMZ39UE3fycUq3X4cN9N43bPEAnGf+qG4f9xRmB/mQUjbHxUoBD8cCoedzKK4GwnxoIR7S0dTrM3tos3+gW7QKXV4/0/bqDNEDnc2vLL36deViP+tMrCERJSM5VOjx2Mvx3GrAHBCHJTWDii5k0g4LDskU4AgF3nkxEdn2PhiJoerbNtI0rzdUi+oAarMAZKLOMQGGZaMadcVqE4q/qBUtd/K0bH8Qq0GSIDx3HIKCzDyih+7MkbI0PgaCdukvjJfRzHYekjnTDmi2P482oajt/LQv8XlPjtDf6mYAc/yMWs3+5P09RrGe7VsuvHr6cEcida+ZfwGGNIv65BYbrp2AT3tmI4+d9P/+oS/cMLY8ZwY28J+r2ghEd7vhvhu6MxSMgpgadSSt3CZtLd3wkTe/lh+7kkLNlzDb/MDYdIyLczFGXqkHpFXeNjyJ0ExvGHBglnyqAq4ltuRVIO/r2kEEktPxOLChQboCnVY8OjaSjONC08HH2FeOEv0/vk/LO2EHf/Ln3o492OKoVPNwkmf++ON3deQaFKiy6+jpjU27/RYydVC/FSYlr/QGw8GYd/77iMva8OhEuQCDmxWvj1lEJTqodYzicenYbhl1ezavW4U773gF8oFSiEd2VnMf5amltp+7DFTug55X7XYnGWrlbvsfjTKkxc645sxzJ8+Te/JMGi0R2gkNJXibm8MTIEf15Nw9XkAqw+fA//Kh+bYuciwO39Jbj++8NnA/r3kmLyRg+TbYc+zkPGzfuzgwLDZXjqG/fGD76OqIvHBqTf0FQqThrKI0SM7eeT8PfNDEiEAnz6VDcIBZavmFuSN0a2RysXO6Tkl+GdP64j7CUlAMDOVWgsTghpiHtHHn6xUldlBXqk3VNjwfaL0OgYhnfwxAS6mahZuTtIjV09Xxy8gytJ+fjzrRys7J1UY3FSW3Eny6xiXSYqe21AXsL91QPbDpPDuwvfxCqp4mZzHcfbwafrw0dyy5wEsA8HXlt9HQDw+sh2aO9Fi7KZm0IqwoqJ3TDxm1PYdT4ZI572xKNfuELmaPp3FYg4DJpXu9kRSh8h9DqG3DgtchO1EIo5BIU3r4FzpPZyy3OHUAyEv3z/PeTT1bSJX+4orPk9xgFBA2RYd+8ebqYVwlUhwYdPdKFF2SzgsR6+iLqejj+vpmH+9ovY/q/+8Owkhqa45qLCwbtyC2vPqfYoydHj1v4SpF/XAAzIT9LCNdiyXf5UoNiA3AoFStcnFQgeKK923/Yj7Gp8vCKVFk+uPokStQ59g1wwa0Bwo8RJ6q5XoAvmRLTGqsP38H87LmP3y2Hw9zD9GwrFHPrOVtb6MVVFeqyfkAYA8OslpQKlhWJ6hrxEPnc4tRI99D0kcxTU6j3255VUfHOUv1fX8se70L26LITjOLz/WBeci8/F3YwiLP37Gr6Y3L3exWKXx/mZm5oyfswSwF8YW7pAoXZkG5CXcL9v0LlVw2pKvZ5h/raLuJlWCDd7KVZO7k5dOxY2b3g79AlyQaFKi1nfn0NeSc0D3R5Gai8w3kCsYusbaVkK0/nbKQANzxsAcC0lHwu2XwIAPBcehMhOXg1+TFJ/LgoJvpzcAyIBhz2XUrDq8L0GP2bF90muFeQOKlBsgOGNwgkBpU/9Ew1jDB/9dRNR19MhEQrw7bRQeDtW3xpDzEMiEmD10z3h5yxHfHYJXtp0HmWahq0I6VSeaIoydM3uFuykdip+wTg1sEBJzS/F89+fQ6lGh0Ht3PGfMbTmiTXo39oVS8rHo3y6/xb2Xklt0OM5UYFC6qrtMDu0i5QjKFwGobj+rR2fH7iDb47cb57t2cq5sUIkDeRqL8Xa6b2gkAhxKiYbL/4Y3aAipeKVkKGZn7QscicBuk1UIKCfFJ4d67/CaFp+GSZ/exop+WUIdlPgqyk9jFNbieU92y8Az/YLAGPAq1suYP+1tHo/lkneoAKF1Eb/F5WYsMINT6yq37QvxhhW7L+FLw/y0wLfGtsBT4T6NWaIpBGEeCmxbkZvyMVCHLmdiTmbolGqrl+R4hxgXYmGmJ9Hewki33bBxLUe6Di2fouopeSVYsp3pxGfXQJ/Fzl+nN0XjnJaK8naLH2kEyZ094FWz/DyT+fxVz2LFLmzABJ7DjKlAGI7y3f9U4HSzJVpdFiw/RK+/PsuAL44mT2QBsVaq37Brlg3oxdkYgEO38rExG9OIS2/7vfncfK//yWSSy0opB7OJ+Tikf+dQGxWMfyc5djyfD/4OlGXsDUSCjh89lQ3jO/mA42OYc6maHxz5F6db5vBcRzmHPDBv0764tGVbk0Ube1RgdKMJWSXYPK3p7H7QjKEAg7vPtqZihMbENbaDT/O6gsXhQRXkvMx/n/Hcepedp0ew9qaaontYIxhy5kETP72NLKKVAjxcsDWF/rBz7nmGYLEckRCAT6f2A1T+7YCY8DyP29i/raLKCjT1HxwBdIqlq+wFJpmbOVURXroNAxrx/CDn174ywcy5cPfQHo9w+Z/4rH8z5soUevgKBdj9dM9EdamcSpirYphx5xMAMCTa9yrXBK5un2q2v7gNgBm/XdVMTws3vq8HnXVO9AFv74cjtnfn8Ot9EJM+e40pvcPwL9Hh8BO8vCPbVmBHttmpxv/TQVKy8MYQ3G2Hr8tzELmbQ3c20nw1Lc1vzdT80vx5s4rOHKbfz9HdvTE55O6N9pKsdacOx79wg2/vJZV7b7V5Yn65o6myBsioQDvP9oZIV4OWPbbdfxyMQVnYnPw4RNdMajdw4cIaFUMP7+QUaf3S1OjAsXKRb2bi1t/lYDpAHEtLmCO38nCh/tu4GpyAQCgb5ALPn2qG/xd6OrH1vi72GHX3DC8v/cGfvonAd+fise+a2mYN7wdngr1e+hARY7jAI4BDMiNpwKlpSnO1GP10BQIhABXiwviwjINvj0ag7XHYlGq0UEiEuD1yHaYPSAYAlqGwKZwHIdp/QPRwVuJ13++hPjsEkxbfwYjOnri/0a2R1tP21mUkwoUK5cbr4Xe8P1STZ7Q6PTYdzUN35+Mw7l4/r4b9lIRXo9sh2n9AynB2DCFVIQPHuuC0Z298J/dV5CYU4pFu65g9eF7mNY/AE/18q920CLHAWI7Dgo3AfRaBoGI3gctRW4836yv1wEPm3CTlFuCH0/HY9vZROSV8MeEBjjjoye6oo2HvTlCJU2kd6AL/nxtID7edws/nIpD1PV0HLyRjpGdvDA9LBB9g1yqXNiN6RlyEzTYOTcT/r2lCJtTu1Wsm0K9OptWrVqFoKAgyGQyhIaG4tixYw/d/8iRIwgNDYVMJkNwcDDWrFlTr2BbImPzPAeTN1OZRodjdzLxn91X0O+Dg/jXlgs4F58LiVCA58KDcOSNwZgRHkTFSTMxsK07DiyIwJLxHeGikCAhpwTv/XEDfd4/gJc2ReO3SymVFngT2wEv7PfGs9u8rKI4obxhPhXXsHiwBSUlrxQ/no7H5G9PYdDHh/DNkRjklWjQ2l2Bb54NxY45/ak4aSbsJCIsfaQT9s+PwKhOXtAz4M+raZj87WkM+fQwPt53E5cS86DTmw6mLc7UI+EfFVIuNWzRyIaqcwvKtm3bMG/ePKxatQrh4eH45ptvMHr0aFy/fh2tWrWqtH9sbCzGjBmD559/Hps2bcKJEycwd+5cuLu744knnmiUJ9FclebrUFagh47To9BBjXxXFT47VIir6fmITsiFWnt/AS43eyme7tsKU/u2gqeSljZvjqQiIWaGB2FSb3/8ciEF35+Mw630Qvx5NQ1/Xk0DxwGdfJTo5uWMLE893ItlKNHoIIfl725MecO8DBc2ZWItCp1ViLXLQ/QvqTiXkIO4bNMbyg1o44Zp/QMwrIMnrSrdTLXxsMeaZ0NxK60Q35+Kw+7zyYjLLsGqw/ew6vA9KGUi9A5wgcBeBIWrBEomg32J2OLj1+pcoKxYsQKzZs3C7NmzAQArV67EX3/9hdWrV2P58uWV9l+zZg1atWqFlStXAgA6dOiAc+fO4dNPP61zorm1vxj2dg9Ptq0HyyGxu3/JkBOrQfqNmqtAiZ0ArQfLTaZlJZ4tQ1GmDoYt939T4f8Y4NRKDI+OYjDG/5uB4ca+Euihh54BesagK//RMj00egYN00Oj18OhtRDMjqFErUNBmQaZWWokxJYgT6NBemEZkoeWokiuATPkjVP3Y/ZwkGJoiAfGdPFG/9auENPiSS2CnUSEqX1bYUoff1xLKcAfV1IRdT0ddzOKcDW5gB9/VL7Q56ZP78BVLoGbSAo3qRROYgmcxGI4iMWwE4pgJxJCJhBCJhTC3l6I4D52EAsFEAk4iIUCpF5UQZWnR2lpYYNitva84eAlgl9P0/vK3Pm7FNqymlfh9eosgXMrsTF3qAr1iDlWiorXpA/mDj5PAMGDZBCV37maMSArVo30W2roGYMe9/OGTs+gZXzeUOv1YBIGp44ilKp1KCrToqBMg/i7pcjMVyFHrUZiWglyItVQSSqso3OB/4+AA7r5O2F0Zy+M7uxN49NakPZeDvjgsS5YPKYDDt7MwN7LqThxNwsFZVocvJUBOADoyu8r1HFwKBPj9w9j4CqRwlEihqNIDL9gOdw9pVBIhJBLhOBKOeRc10Is4CDkBBBzHIQcB0H5fzWsuN7x1qlAUavViI6OxptvvmmyPTIyEidPnqzymFOnTiEyMtJk28iRI7Fu3TpoNBqIxZX7z1UqFVQqlfHfBQX8gM8nThyHQFrDh+lobZ5JNfY14Nj6uljD78ufrlgrgEuJFBGD3NAtyBF9g1zR2l1BdxJtwTiOQ2dfR3T2dcS/R4Ugo6AMp2KycSEmDwf2ZyLbToVSiRbZpWpkQ41bhbUoMk5UvVmvqv9t3G0ibwDA9pp3qVJDcs7xBhz7z0N+V2HhWPsyMXxhhxEj3dEj0Am9g1yglNFiay2ZQirCI9188Eg3H2h1elxNKcA/d7Px5y8ZSNQXI0+uhk7IkKdQ42LeAxf4cXU7V0NyR50KlKysLOh0Onh6epps9/T0RFpa1SvXpaWlVbm/VqtFVlYWvL29Kx2zfPlyLFu2rC6hWT1OD3CMg5BxEOg5iPQchDoBXD3FcHQWw14qgoNMBK5AgLS/NZCrRFCUiWFfJoayRAJHoQhCoQAvfFjzNGPSMnkoZZjQ3Rcjg73h8gk/sG3SL+44uDMLx3bmokiuQalEi1KpFiqRDmqxDmqRHhqhHloRf1UudAS0OgaVTg+9nkGrr9tCT1WhvNEwAkPu0Jf/6ASQCgXwCpLCTiKEg0wMB5kIWae10MRzkKtEsC8Tw6FUDHeBDGK9gJ82OtTy00aJ9REJBeju74TOHo5QbrRH5m0NpM4CJGaVoFCuQZFMgxIZnzvKJDq49BBCr9SjVK1DsVqH4mIt8rO10AkYdAIGvYCBcex+q39DYqvPQQ9etTPGHnolX9X+VW03WLRoERYsWGD8d0FBAfz9/fF1u95QyB8+RarDaDtIFPe/wDPvapByUfWQI3hSewFCRpleZcWeKENhqulS4w9GzHGAexsx/EJl4Mqfk4ADLm0rAsf4Zi7BQ55r68FyOPnd/zMUpGpxR1lqso9zoAi/v1G3hboIAQBHuRhDI9zRXqmscV+5kwAdx5kuiX5rfzHy03UoLMnH8AbGYs15w8lXhID+pmO3bvxRDHVpzQWaX0+pyW3pywr0uL2/tNJ+FaPmOIADh07j7ucrjuOQfVuDlAtqCMp/X13ukDkK0Gm86d/qjnsJCirkK6GYw9U9RciJoWnmpG4c3IR49jUfFGVWvtVG8EAZnAPuv9+LMnW49VflVhJDN6VKUIiIesZRpwLFzc0NQqGw0lVPRkZGpasdAy8vryr3F4lEcHV1rfIYqVQKqVRaaXvE0y5Q1iLRVuTaXYqQ7vUbke46snIMtdX/Wad6Haf0FiH0GdNkWlZAd6Ml9efVSQKvTvW7WVz7SP5LsKAAwJz6nd8W8wYADJhUz8+/PeA7o35Lwtt3ESGgS/2ObTvM9AJLq2K4sbf+/f+k5eI4Dq0Hy2vV4mbvLqz0nVVRQUH9m1Lq1FcgkUgQGhqKqKgok+1RUVEICwur8pj+/ftX2n///v3o1atXlf3IhJDmhfIGIaQ+6jyYYcGCBVi7di3Wr1+PGzduYP78+UhISMCcOfzl1aJFizBt2jTj/nPmzEF8fDwWLFiAGzduYP369Vi3bh1ef/31xnsWhBCrRnmDEFJXdR6DMmnSJGRnZ+Odd95BamoqOnfujL179yIgIAAAkJqaioSEBOP+QUFB2Lt3L+bPn4+vv/4aPj4++PLLL2ktA0JaEMobhJC6qtcg2blz52Lu3LlV/m7jxo2VtkVEROD8+fP1ORUhpJmgvEEIqQuOVVyZzErl5+fDyckJiYmJ9RrsRghpGMOMmLy8PDg6Wu7eHHVBeYMQy2tI7rCJmwVmZ/NTbP39/S0cCSEtW3Z2ts0UKJQ3CLEe9ckdNlGguLi4AAASEhJsJjkaqkZbunqjmM3DFmPOz89Hq1atjJ9FW0B5w3xsMW6K2TwakjtsokARCPjJRo6OjjbzRzFQKpUUsxlQzOZh+CzaAsob5meLcVPM5lGf3GE72YYQQgghLQYVKIQQQgixOjZRoEilUixZsqTKZaytFcVsHhSzeVDM5mGLMQO2GTfFbB4NidkmphkTQgghpGWxiRYUQgghhLQsVKAQQgghxOpQgUIIIYQQq0MFCiGEEEKsjtUXKKtWrUJQUBBkMhlCQ0Nx7NgxS4f0UEePHsX48ePh4+MDjuPwyy+/WDqkGi1fvhy9e/eGg4MDPDw88Oijj+LWrVuWDuuhVq9eja5duxoXLOrfvz/+/PNPS4dVa8uXLwfHcZg3b56lQ3mopUuXguM4kx8vLy9Lh1UrlDuaFuUNy7CF3NFYecOqC5Rt27Zh3rx5WLx4MS5cuICBAwdi9OjRJrdltzbFxcXo1q0b/ve//1k6lFo7cuQIXn75ZZw+fRpRUVHQarWIjIxEcXGxpUOrlp+fHz788EOcO3cO586dw9ChQzFhwgRcu3bN0qHV6OzZs/j222/RtWtXS4dSK506dUJqaqrx58qVK5YOqUaUO5oe5Q3zs6Xc0Sh5g1mxPn36sDlz5phsCwkJYW+++aaFIqobAGz37t2WDqPOMjIyGAB25MgRS4dSJ87Ozmzt2rWWDuOhCgsLWdu2bVlUVBSLiIhgr732mqVDeqglS5awbt26WTqMOqPcYX6UN5qWLeWOxsobVtuColarER0djcjISJPtkZGROHnypIWieriNGzeC4zjExcUZt2k0GsyZMwfe3t4QCoXo3r272eOKi4sDx3HYuHHjQ2M1yM/PBwCL3hhuxowZCAwMrNW+Op0OW7duRXFxMfr37//QfQMDAzFjxoyGB1iNkpISLF26FIcPH670u40bN8LBwQEDBgzA8OHDmyyGxnbnzh34+PggKCgIkydPRkxMjKVDeihrzh2Gpu+mUtVn3VwMeeOzzz6r9Nlt6s9dfdQlb1iDl19+GWPHjrWZ3NEYecNqbxaYlZUFnU4HT09Pk+2enp5IS0uzUFR1t2/fPqxfvx5fffUVQkNDYW9vb+mQAABjx47FqVOn4O3tbbKdMYYFCxZgwIAB6Ny5s4Wiq50rV66gf//+KCsrg729PXbv3o2OHTs+9Jjdu3c36U22SkpKsGzZMgDA4MGDTX6nVqsRHByMzz//vMnO39j69u2LH374Ae3atUN6ejree+89hIWF4dq1a3B1dbV0eFVqLrnDllTMG87OzpV+39Sfu7qoT96wtK1bt+L8+fM4e/aspUOplcbKG1ZboBg8eLXBGGvSK5DGlpCQALlcjldeecXSoZhwd3eHu7t7pe2vvPIKLl++jOPHj1sgqrpp3749Ll68iLy8POzcuRPTp0/HkSNHqkw2paWlkMvl6NGjhwUiBRITE/Hf//4X+/fvh6Ojo0ViqI/Ro0cb/79Lly7o378/Wrduje+//x4LFiywYGQ1s/XcYUsq5o233nqr0u8t9bmrSl3yRlMqKSmBnZ1djfslJibitddew/79+yGTycwQWcM1Vt6w2i4eNzc3CIXCSlc8GRkZla6MmsLNmzcxZcoUeHp6QiqVolWrVpg2bRpUKhUA4PTp0wgPD4dMJoOPjw8WLVoEjUZT6XEOHDiA0tJS40jm2ja9xsTEYPLkyfDx8YFUKoWnpyeGDRuGixcvGvcJDAzEuHHjsHv3bnTt2hUymQzBwcH48ssva3z8qrp4fH198e2332LlypWYMmUK7OzsEBwcjA8//BB6vd7k+IKCArz++usICgqCRCKBr68v5s2bV68Bchs3bkT79u0hlUrRoUMH/PDDD1Xup1ar8d577yEkJARSqRS+vr54//33ERAQgOXLl6Nbt2744osvjK/Lrl270KNHD8hkMmOrRsWm5szMTEgkEvz3v/+tdK6bN2+C4zjja5mZmYm5c+eiY8eOsLe3h4eHB4YOHWoyMyQuLs5Y9C1btsz4N58xYwaio6ORkZGB7t27QygUQiQS4ciRI/jiiy8gFAqh0+lMzj9p0iR4enqavKe2bduG/v37Q6FQwN7eHiNHjsSFCxfq/Ho3hEKhQJcuXXDnzh2znrcuLJ07DP744w90794dUqkUQUFB+PTTT01+X1N3zNatW43/f/fuXcycORNt27aFnZ0dfH19MX78+EYbsLx69Wp069YN9vb2cHBwQEhICP7zn/8Yf2/IF1FRUZg5cyZcXFygUCgwfvx4TJs2DXv27MGhQ4fg5+dX5eM/2MVz+PBhcByHLVu2YPHixfDx8YFSqcTw4cOrnAl04MABDBs2DEqlEnZ2dggPD8fBgwfr/DyXLVuGgQMHok+fPhg6dCj++usvuLu7Y+XKlcZ9Hn30UQQEBFTKeQDfMtCzZ0/jvxljWLVqFbp37w65XA5nZ2c8+eSTlbozBg8ejM6dO+Po0aMICwuDnZ0dnnvuOQD85zoyMhLe3t6Qy+Xo0KED3nzzTWMuNeSO0NBQCAQCcBxnzB0CgQDTp0+v1KX2YK50d3fHzJkzkZmZWefXrDHUO280eBRLE+rTpw976aWXTLZ16NChyQe6Xbx4kdnb27PAwEC2Zs0advDgQbZp0yY2ceJEVlBQwK5du8bs7OxYx44d2ZYtW9ivv/7KRo4cyVq1asUAsNjYWMYYP9AtNDSUyeVydurUKXbq1CmWkZFRqxjat2/P2rRpw3788Ud25MgRtnPnTrZw4UJ26NAh4z4BAQHM19eXtWrViq1fv57t3buXPf300wwA++STT4z7xcbGMgBsw4YNxm0bNmwwxqrX69nLL7/MJBIJc3JyYm3btmVr1qxhUVFRbO7cuQwA+/77743HFhcXs+7duzM3Nze2YsUKduDAAfbFF18wR0dHNnToUKbX62v9WhvimDBhAvvtt9/Ypk2bWJs2bZi/vz8LCAgw7qfT6dioUaOYQqFgy5YtY1FRUWzt2rXM19eXdezYkZWUlLChQ4ey6dOns4CAAObt7c2Cg4PZ+vXr2aFDh9iZM2eMr9n06dONj/vYY48xf39/ptPpTOL6v//7PyaRSFhWVhZjjLGbN2+yl156iW3dupUdPnyY/f7772zWrFlMIBAY/yZlZWVs3759DACbNWuW8W9+9+5dVlBQwN59910GgO3bt49duXKFdezYkQFgS5cuNTl3bm4uk0qlbMGCBcZt77//PuM4jj333HPs999/Z7t27WL9+/dnCoWCXbt2rdavd0OVlZUxX19ftmzZMrOdsz4slTsMDhw4wIRCIRswYADbtWsX+/nnn1nv3r2NOYKxqj+XBgDYpEmTjP8+cuQIW7hwIduxYwc7cuQI2717N3v00UeZXC5nN2/eNO73sMeszpYtWxgA9q9//Yvt37+fHThwgK1Zs4a9+uqrxn0Mn1N/f3/23HPPsT///JN98803TC6XM6FQyM6dO2fc1/AZrOjBz92hQ4cYABYYGMiefvpp9scff7AtW7awVq1asbZt2zKtVmvc98cff2Qcx7FHH32U7dq1i/32229s3LhxTCgUsgMHDtT6eTLG2IwZM9i6detYVFQUi4qKYu+++y4TCASse/fuxn1+/fVXBoBFRUWZHHvjxg0GgH355ZfGbc8//zwTi8Vs4cKFbN++feynn35iISEhzNPTk6WlpRn3i4iIYC4uLszf35999dVX7NChQ8bBxO+++y77/PPP2R9//MEOHz7M1qxZw4KCgtiQIUMYY4wVFBSwK1eusLfffpsBYCNGjGBt2rRh4eHhLDAwkAUEBNQ5V5pbffOGVRcoW7duZWKxmK1bt45dv36dzZs3jykUChYXF9ek5x06dChzcnKqtpiYNGkSk8vlJm9ArVbLQkJCGAD2xx9/sAsXLjAArHfv3kwul7P4+Phanz8rK4sBYCtXrnzofgEBAYzjOHbx4kWT7SNGjGBKpZIVFxczxmouUF566SXm6OjIunXrxgCwvXv3stTUVOMbuWPHjmzkyJHGY5cvX84EAgE7e/asyXl37NhhPL42dDod8/HxYT179jQpauLi4phYLDb50BmS6M6dOxljjC1atIgdPXrUmExGjhzJBAIB279/PwsICGBCoZDdunWrytesYqLcs2cPA8D2799v3KbVapmPjw974oknqo1dq9UyjUbDhg0bxh577DHj9szMTAaALVmypNIxFV9zxvik5eHhwcLCwkz2W7VqFQPArly5whhjLCEhgYlEIvavf/3LZL/CwkLm5eXFJk6cWG2cDbVw4UJ2+PBhFhMTw06fPs3GjRvHHBwcmvwz2FCWyh0Gffv2ZT4+Pqy0tNS4raCggLm4uFRboBQWFrILFy4Yc0dkZCS7cOFClblDq9UytVrN2rZty+bPn2/cXp8C5ZVXXmFOTk4P3cfw3q34Xn/ppZeYQqFgANi///1vlpqaylJTU9kzzzxT6wJlzJgxJvtt376dAWCnTp1ijPEXQy4uLmz8+PEm++l0OtatWzfWp0+fWj9Pxu7njdjYWHbx4kX25ptvMo7jmFKpNOYgjUbDPD092dSpU02OffCi5dSpUwwA++yzz0z2S0xMZHK5nP3f//2fcVtERAQDwA4ePPjQ+PR6PdNoNOzIkSMMALt06ZLx+Xp5ebG+ffsaH++1115j8fHxNeZKg7NnzzIAbNWqVXV4xeqnsfKGVRcojDH29ddfs4CAACaRSFjPnj2bfApbcXExEwqF7IUXXqh2Hw8PDzZu3LhK25csWcIAVPlT8cNZE71ez1q3bs18fX3ZZ599xs6fP1/pCp8x/kPfuXPnStsNyeTYsWOMsZoLlOpiNuw/efJkFhISYjw2PDycde3alWk0GpOfwsJCxnGcyQfzYa5fv84AsE8//bTS7yIiIkw+dE8//TRzcnJiarWaaTQaNmPGDNaqVSsmFouZQCBgHh4exiIjICCA9ejRo8pzPpgoNRoN8/LyYlOmTDFu++OPP4yFZkWrV69mPXr0YFKp1OR1qvja1LVAGTx4MANgchXcu3dv1rt3b+O/v/vuOwaAnT17ttJrPmnSJObh4VHlc20MkyZNYt7e3kwsFjMfHx/2+OOPm7XFpiHMnTsMioqKmEAgYK+88kql302fPr3aAsXwpV1V7tBoNOz9999nHTp0YGKx2OT3o0aNMj5+fQqUH374gQFgkydPZr/88gvLzMystI/hvbtjxw7jturyRnh4eK0LlDVr1pjsd/PmTQaAbd26lTHGWFRUlPG8D773//3vfzOO41hRUVGtn+uoUaOYTCarMu6KF5wLFy5kMpmM5eXlMcb4gtDb25s99dRTxn0WL17MOI5j6enplWLr16+fSfEUERHBnJ2dq4zp3r17bMqUKczT05NxHGcSk+F1MORKQzFUcZrx4MGDH5orK/409QWNQWPlDasfJDt37lzMnTvXbOfLzc2FTqerti8VALKzs6tcFc+wLTY21tgnOGPGDOzYsaNO0/44jsPBgwfxzjvv4OOPP8bChQvh4uKCp59+Gu+//z4cHBwqnbOqOLKzs2t1PsYYAL6fNCsrC1evXjX5vVQqRWlpqfHf6enpuHv3LsRicZWPl5WVVavzGuKr7jlUHB+Tnp6OvLw8SCSSKh+rc+fOGDFihPHfD85Oqo5IJMKzzz6Lr776Cnl5eXBycsLGjRvh7e2NkSNHGvdbsWIFFi5ciDlz5uDdd981jnP473//ixs3btTqXA86fPgwcnNz4e3tjY0bN2L58uW4fv06zp49i1WrVpk8dwDo3bt3lY8jEDTdULKK4yBsjblzh0Fubi70ev1DP5tVGTx4sPGzyHEclixZgqVLlwIAXn31VXz99df497//jYiICDg7O0MgEGD27Nkmn836ePbZZ6HVavHdd9/hiSeegF6vR+/evfHee++ZfKYejN8Qa79+/aBSqYzjoWbMmIGkpKRanfvBGR1SqRQAjM/J8N5/8sknq32MnJwcKBSKGs915swZREVFYfDgwXjhhRfg5+cHiUSCX375Be+//77J6/jcc8/hs88+w9atW/Hiiy/ir7/+QmpqKmbOnGncJz09HYyxasc1BQcHm/y7qpxUVFSEgQMHQiaT4b333kO7du1gZ2eHxMREPP7448aYDLnScK6Kyxh4enoiNjbWJK6H5cra5ueGaKy8YfUFirm5uLhAKBQ+9APm6upa5XTFxpzCGBAQgHXr1gEAbt++je3bt2Pp0qVQq9VYs2bNQ89p2NZU00Dd3Nwgl8uxfv36an9fG4b4avNaurm5wdXVFfv27avysSoWbUDlGRwPM3PmTHzyySfYunUrJk2ahD179mDevHkQCoXGfTZt2oTBgwdj9erVJscWFhbW+jxVcXZ2xoQJE/DDDz/gvffew4YNGyCTyTBlyhTjPobXc8eOHQgICGjQ+UjTc3Z2BsdxNb6vDTMyDAPvDaq6sNi0aROmTZuGDz74wGR7VlYWnJycGhzzzJkzMXPmTBQXF+Po0aNYsmQJxo0bh9u3b5u856p7Tm3atGlwDFUxvPe/+uor9OvXr8p9ajvweevWrRCLxfj9999NZsNUdUuBjh07ok+fPtiwYQNefPFFbNiwAT4+PiZr67i5uYHjOBw7dsxYWFX04LaqctLff/+NlJQUHD58GBEREcbteXl5JvsZcqWhYKuoobnSmlGB8gC5XI6IiAj8/PPPeP/996v8sh0yZAj27NmD9PR044dDp9Nh27ZtTRJTu3bt8NZbb2Hnzp04f/68ye+uXbuGS5cuoVu3bsZtP/30ExwcHExGmzemcePG4YMPPoCrqyuCgoLq/Tjt27eHt7c3tmzZggULFhg/wPHx8Th58iR8fHxMzrl161bodDr07du3wc+hog4dOqBv377YsGEDdDodVCqVyZUSwCeXBxPO5cuXcerUKfj7+xu3PXgFWBszZ87E9u3bsXfvXmzatAmPPfaYyZfOyJEjIRKJcO/ePTzxxBP1eIbEnBQKBfr06YNdu3bhk08+MX4ZFhYW4rfffjPu5+npCZlMhsuXL5sc/+uvv1Z6zKref3/88QeSk5MbtThQKBQYPXo01Go1Hn30UVy7ds2kQNm8ebPJe/DkyZOIj4/H7NmzGy2GisLDw+Hk5ITr1683eKkGjuMgEolMLjxKS0vx448/Vrn/zJkz8dJLL+H48eP47bffsGDBApNjx40bhw8//BDJycmYOHFivWMCKhcz33zzjcm/27dvDy8vL2zfvt1kmm5CQoJZc6W5UYFShRUrVmDAgAHo27cv3nzzTbRp0wbp6enYs2cPvvnmG7z11lvYs2cPhg4dirfffht2dnb4+uuvG+0eFJcvX8Yrr7yCp556Cm3btoVEIsHff/+Ny5cv48033zTZ18fHB4888giWLl0Kb29vbNq0CVFRUfjoo49qNce+PubNm4edO3di0KBBmD9/Prp27Qq9Xo+EhATs378fCxcurNUHQyAQ4N1338Xs2bPx2GOP4fnnn0deXh6WLl1aqSl88uTJ2Lx5M8aMGYPXXnsNffr0gVgsRlJSEg4dOoQJEybgscceq/dzeu655/Diiy8iJSUFYWFhaN++vcnvx40bh3fffRdLlixBREQEbt26hXfeeQdBQUHQarXG/RwcHBAQEIBff/0Vw4YNg4uLC9zc3B66Km5kZCT8/Pwwd+5cpKWlVSqOAgMD8c4772Dx4sWIiYnBqFGj4OzsjPT0dJw5cwYKhcI4jZpYh3fffRejRo3CiBEjsHDhQuh0Onz00UdQKBTIyckBwH85PfPMM1i/fj1at26Nbt264cyZM/jpp58qPd64ceOwceNGhISEoGvXroiOjsYnn3zy0K7o2nr++echl8sRHh4Ob29vpKWlYfny5XB0dKzUrXju3DnMnj0bTz31FBITE7F48WL4+vo2WVeavb09vvrqK0yfPh05OTl48skn4eHhgczMTFy6dAmZmZmVWjWrM3bsWKxYsQJTp07FCy+8gOzsbHz66adVtn4AwJQpU7BgwQJMmTIFKpWq0kq44eHheOGFFzBz5kycO3cOgwYNgkKhQGpqKo4fP44uXbrgpZdeemhMYWFhcHZ2xpw5c7BkyRKIxWJs3rwZly5dMtlPIBBg2bJlePHFF/Hkk0/iueeeQ15eHpYtWwZvb2+Tbt6mzpVm1chjY5qN69evs6eeeoq5uroyiUTCWrVqxWbMmMHKysoYY4ydOHGC9evXj0mlUubl5cXeeOMN9u2335oMgmSMHxSnUCjqdO709HQ2Y8YMFhISwhQKBbO3t2ddu3Zln3/+ucn0u4CAADZ27Fi2Y8cO1qlTJyaRSFhgYCBbsWKFyePVNEjWICIignXq1KlSPFVNGywqKmJvvfUWa9++PZNIJMzR0ZF16dKFzZ8/32SwWW2sXbuWtW3blkkkEtauXTu2fv36Ks+p0WjYp59+yrp168ZkMhmzt7dnISEh7MUXX2R37typ9LpU5cHBegb5+flMLpczAOy7776r9HuVSsVef/115uvry2QyGevZsyf75ZdfqozzwIEDJoNpDeer6jU3+M9//mOcxlnVgGjGGPvll1/YkCFDmFKpZFKplAUEBLAnn3yyzlMtiXns2bOHde3a1Zg/PvzwQ+NAeoP8/Hw2e/Zs5unpyRQKBRs/fjyLi4urNNA6NzeXzZo1i3l4eDA7Ozs2YMAAduzYMRYREcEiIiKM+9VnkOz333/PhgwZwjw9PZlEImE+Pj5s4sSJ7PLly8Z9DO/d/fv3s2effZY5OTkxuVzOxowZY/LZY6xu04x//vlnk/2qi//IkSNs7NixzMXFhYnFYubr68vGjh1b6fiarF+/nrVv355JpVIWHBzMli9fztatW1ft53Lq1KnGgb8Pe8y+ffsyhULB5HI5a926NZs2bZrJ1OvqcitjjJ08eZL179+f2dnZMXd3dzZ79mx2/vz5Kl+Hb7/9lrVp08YkV06YMKHSpIDa5kprxzFWPtKJ2JzAwEB07twZv//+u6VDIYQ0Yxs3bsTMmTNx9uxZ9OrVy9LhkHJ5eXlo164dHn30UXz77beWDqfRURcPIYQQYuXS0tLw/vvvY8iQIXB1dUV8fDw+//xzFBYW4rXXXrN0eE2CChQz0+v1VS6hXJFIZPt/lpbyPAmxZhXHR1VFIBA06TR1c2kJz1MqlSIuLg5z585FTk4O7Ozs0K9fP6xZswadOnWydHhNgrp4zGzGjBn4/vvvH7pPc/iTtJTnSYi1iouLq3GWXcW1VmxVS3meLREVKGYWFxdX40I5zaGPt6U8T0KslVqtrjSF+UE+Pj4mU1RtUUt5ni0RFSiEEEIIsTo2MQhAr9cjJSUFDg4OdVohlBDSOBhjKCwshI+Pj8305VPeIMTyGpI7bKJASUlJMVmtkxBiGYmJiY2yOJg5UN4gxHrUJ3fYRIFiuHdAYmIilEqlhaMhpOUpKCiAv7+/Td3Hg/IGIZbXkNxhEwWKoXlWqVRSoiHEgmypq4TyBiHWoz65wzY6kwkhhBDSotSrQFm1ahWCgoIgk8kQGhqKY8eOPXT/zZs3o1u3brCzs4O3tzdmzpxZ5S3FCSHNF+UNQkhd1LlA2bZtG+bNm4fFixfjwoULGDhwIEaPHo2EhIQq9z9+/DimTZuGWbNm4dq1a/j5559x9uzZJrs9NyHE+lDeIITUWV3vLtinTx82Z84ck20hISHszTffrHL/Tz75hAUHB5ts+/LLL5mfn1+tz5mfn88AsPz8/LqGS5oxVbGOXfmzkJ3dmc8KM7U1H0DqraGfQcobxFro9XqWflPFLmwrZDHHSphWrbd0SM1aQz6HdWpBUavViI6ORmRkpMn2yMhInDx5sspjwsLCkJSUhL1794IxhvT0dOzYsQNjx46t9jwqlQoFBQUmP4QYFGfr8Nm/YzD+pVN4LOoYnjp9DE98eAo7opOg1T38/j/E/ChvEGtx9ZdifPBoDP7178t45a9ovLr6Io7czICG8oZVqlOBkpWVBZ1OB09PT5Ptnp6eSEtLq/KYsLAwbN68GZMmTYJEIoGXlxecnJzw1VdfVXue5cuXw9HR0fhDaxkQg+IsHRYsvIqvuBu45Z0HjVgPJgBuifLx+s+XMG/bRSpSrAzlDWJpjDGcWJOH/9t2Gd91uIl/QtKR5F6EK/45eG7zOYz54hhS8kotHSZ5QL0GyT44XYgxVu0UouvXr+PVV1/F22+/jejoaOzbtw+xsbGYM2dOtY+/aNEi5OfnG38SExPrEyZpZoqzdFjw+lX85ZUEAOiU5oz/E3XG+w498K9BbSAWcvj9cioVKVaK8gaxBMYY/l6Ri7dPXsX1gBxwDAhROWKaYzDGB/rAyU6MOxlFeGrNKcRlFVs6XFJBndZBcXNzg1AorHTVk5GRUenqyGD58uUIDw/HG2+8AQDo2rUrFAoFBg4ciPfeew/e3t6VjpFKpZBKpXUJjTRzjDF88NYdY3ESluqJr9/tBudWYuM+XQIc8fJP5/H75VSIc4X44JnOkDsKLRUyKUd5g1jSzX0leP/yNcT4FECg5zDfLwT/ejXY+PvkvFI8s/YfxGYV4/GvTuI/kq54cnHV70tiXnVqQZFIJAgNDUVUVJTJ9qioKISFhVV5TElJSaX194VC/kuD0X0KSS2d+6UAu2XxAIBeae6VihMAiOzkhY9GdQMA7E5Iwo8rks0eJ6mM8gaxlNI8Hb5aG4MY7wIIdBz+26aTSXECAL5Ocmx/sT98BXbIUanxvzu3cSuKWlKsQZ27eBYsWIC1a9di/fr1uHHjBubPn4+EhARj0+uiRYswbdo04/7jx4/Hrl27sHr1asTExODEiRN49dVX0adPH7r9NamVsgI9Ptx9EyUyLRyLJHhvRsdKxYlBZHsvhKQ5ARywNv0uEi+WmTdYUiXKG8QSfv0oAwcD+AuV0XpfzHwhoMr93B2keKtHRwj0HOK8CvD1mliUFVA3saXVean7SZMmITs7G++88w5SU1PRuXNn7N27FwEB/B8+NTXVZG2DGTNmoLCwEP/73/+wcOFCODk5YejQofjoo48a71mQZu1mZgHO+2QBAKZIghAy2L7afe09hFg4KAQvXzuDDKdSfPjVHXz1bWcIhLazRHtzRHmDWMJvzolQ5ejgXijDe//t+NB9Rz3pgREnffCXNBlRrZLwxwp3PLGUunosiWM20F5aUFAAR0dH5Ofn0z01WqBn1/2DY3eyMDzQEysmdIfS++F1tV7L8PILV/CnRyKkaiG2DglHj/G2c5M7a2SLn0FbjJk0nrNxOXhqzSkIOQ5rBvXGiNHuNR6Tk6zGiOXHkG1fhu5xbvjh89Aa8w15uIZ8DulePMSq3UgtwLE7WRBwwJKJHWuVLAQiDm883xbKYglUEh3W/RpL4xYIaWG+PnQXADCxt1+tihMAcPGVYHZgawDAVf9s/L0+p8niIzWjAoVYtbXHYgEAo7t4w9/FrtbHBfWTIbyEb549Jk9H/Dkai0JIS3E1OR+Hb2VCwAFzIlrX6dhpz/nBs0AOrZBh8+V4FGfrmihKUhMqUIjVOvJzDn69wA9we35gcA17m+I4DrMfCYBULUS+Qo0fNtOaGIS0BOk31Vj6zQ0AwPhuPghwVdTpeIWLCE96twIAXPLLwvEfchs9RlI7VKAQq6TTMKz+LQZaxuBboEAHp7qPIeg+Roke2W4AgD9LkpETq2nsMAkhVua3DRk4p+Lvev24W/1WE35hdgBcCqVQi/X44XQ81CU0o8cSqEAhVun638W44MbP3IkU+0DqUPe3qlDMYUZ4AAR6DqkuJfhzV0Zjh0kIsSKl+Tr8lpAEcEDrHCXCBrjU63EcvcV4xNEPAHC1VTYKMrSNGSapJSpQiFXatS8FKokOijIRnn7Kr96PM3iSK7qLnAEAMe3yGik6Qog1uvxbEW565wEAxrfyhVhW/6+4l54PglIqQr5Qg6uqvMYJkNQJFSjE6pTm6XAkNx0A0CnHBcH95fV+LJmjAC89w49f+fVSKt2jh5BmbMeBZKgkOtiXijH5Kd8GPZZnkBSPh/IXR9vP0Rg2S6AChVids7/nI86jEAAwroNPgxdZi2jnDmc7MbKKVDh+N6sxQiSEWJn0G2qcFmYCAHqp3ODVvuH3ZZrYix/DEnU9HdlFqgY/HqkbKlCI1dlxNBl6AYNrvgyjHqvd+gUPIxEJML4bvzz67gt0fx5CmqPDO7KR6FYEAJgyoH6DYx/U0UeJLr6O0OgYNuyJh15L6ymZExUoxKrkJmhwBnwrR0+VKzxCJI3yuONC+AJl74U0nNmV3yiPSQixDjoNwy/XkwEO8M+2x+AJro322IPt+fWUfjqegLhTpY32uKRmVKAQq3L4lxykuZSAY8AT/RrWh1yRb6kdHIsk0HB67DxIrSiENCdxJ0txw5Vfr2SIi2e9Zv1VZ6i3J4Q6DjlKFf7el91oj0tqRgUKsSr7LqcBAHyyFQgb79xoj+vTTYouRfyUw7PF2SjLp8GyhDQXf+/PRp69GkIdhyeGNd6FDQB0HmyPgBz+Xl4HYtKh01A3j7lQgUKsSkYXvg95gJd7o96ki+M4jGjPN9UmuBfi+uGiRntsQohlZfctBgB0YE7oFFH93c7rQywTYIArPxbupmse4v+hbh5zoQKFWI2sIhUupeUBAF59vW5L29fG0BFucCgRQytk2Hs0vdEfnxBifowx7L/Nt7w+/0wARNKGzfqrymNDfCDUccizV+EQdfOYDRUoxGr8fSMDegZ09lXC16n+a59Ux7eHFG3zHAEAJzMzoSmjbh5CbN3NtELEZBVDIhJgWAfPJjlH5yH3u3miqJvHbKhAIVZj/3X+Kiiyo1eTPL5AyCHC3wMAEONWgJiT1FRLiK3beyUVAL/ekb208bqFKxLLBBjgUt7N45KHhDN0d3RzoAKFWIUrBwpx5Aa/yFJkx6a5CgKAUcM8IFULUSbRYf/BzCY7DyGk6SWeLcP2Q0kAgDGdmubCxuDRCt08h/dTN485UIFCrMKuP1KhAYOyWAKH9MZZ+6QqwWFyBGfxd0Y+nJgBvY6aagmxVUf25SCdlUGg5xCQUfc7ntdF58H28M/hB+AeupcBxih3NDUqUIjFadUMZ7L5K5K2+Y7w6drwJaqrI5YJ0M/VDQBwT5mPzFuaJjsXIaTpMMZw6BZ/h3LfHAU6DWzc2TsPktgJ0MueXwAu0bcQ6mIqUJoaFSjE4pLOlyHOmb/3Tn8fV3CCxh+FX9ETj/pACA559mqoveg26oTYoqw7GtyU5QEAesidIbVv+q+zl+YFAgDiBEUoBF3cNDUqUIjFnTiag2K5BiIdh+HhDb/3Tk06R9gjNJBfBO7IbRqHQogtunSwECku/Pono3o27fgTg9ZBCnTyUYIx4NDNDLOcsyWjAoVY3OFbfJHgk22PduEKs5wzoj1fCFGBQoht2h+dASYAnAulCBvhYrbzDgvhZwL+TQVKk6MChVhUUYYON8DfvK+z0Al2LkKznDeiHV+gnLybBbWW1kMhxJYUZ+twQZUDAOiodoKTX9NML66KYa2Vo7czkZWoNtt5WyIqUIhFXT9aZGymHdLRw2znDXF3gLNUjGK1Dj98lWi28xJCGu7u0RIkuPPj1ga3MV/eAIA29vZw0PO5Y+2nCWY9d0tDBQqxqAOnM6AX8tOL+0c4me/EjINnHD/qP+oCTRkkxJb8fSILKokOUrUQkcPMW6DYOQoRmMmvKns6MxtaNeWOpkIFCrEYvY7hTDrfTBuU59Ck04sfJJJy6OnID5S9a1+ArDs0Ir+prVq1CkFBQZDJZAgNDcWxY8ceur9KpcLixYsREBAAqVSK1q1bY/369WaKllgrvZbhdHIWACAwzwH+3c2XNwCAE3Do68VPN453LkTyBZVZz9+SUIFCLIbpgcw2fPfOgDZuEIiadnrxg4b34K+8spVluHy80Kznbmm2bduGefPmYfHixbhw4QIGDhyI0aNHIyGh+ibyiRMn4uDBg1i3bh1u3bqFLVu2ICQkxIxRE6vEAfnd+KXmB7Y2f94AgMh+HuAYkOugwrkj+WY/f0tRrwKFroRIY8goKUNyaSkEHPDC/wWY/fxdBjjAtUAGADh0kWbzNKUVK1Zg1qxZmD17Njp06ICVK1fC398fq1evrnL/ffv24ciRI9i7dy+GDx+OwMBA9OnTB2FhYWaOnFibvDINbuUXAABe+Jf58wYAdB7kAM9cOwDA4Rs0m6ep1LlAoSsh0lhO3uVXj+3i6whHudjs53drI0ZgEd+XfDE3l+5Q2kTUajWio6MRGRlpsj0yMhInT56s8pg9e/agV69e+Pjjj+Hr64t27drh9ddfR2lp9Td4VKlUKCgoMPkhzc+xO5lgDAjxcoCHUmaRGOychejIOQEArunzUJShs0gczV2dCxS6EiKN5cQ9vh85rI2bRc7PcRx6e/HrJyQ4FSHtGk0ZbApZWVnQ6XTw9DS9CaSnpyfS0tKqPCYmJgbHjx/H1atXsXv3bqxcuRI7duzAyy+/XO15li9fDkdHR+OPv79/oz4PYh2O3ubzhmGpAEsZVH7+JLci3D1eYtFYmqs6FSh0JUQaS3aMGkev8YkmvLVlChQAGNzLDQI9UKBQI/p4nsXiaAk4znSsAGOs0jYDvV4PjuOwefNm9OnTB2PGjMGKFSuwcePGanPHokWLkJ+fb/xJTKTp481N4rky/H2F71IZZOECZehgN0jVQqjFehw+mWXRWJqrOhUodCVEGsvBX7ORpVJBoOPgnGCZZloACAmzh0ce35d85Bolmabg5uYGoVBYKUdkZGRUyiUG3t7e8PX1haOjo3Fbhw4dwBhDUlJSlcdIpVIolUqTH9K8/LkrA7kaNURaDt655ll1ujp+3aQIzCufbpycTXdGbwL1GiRLV0KkoY7d5IsB71w7tOpsuQLFyU+E1mr+i+xKSR40pbSqbGOTSCQIDQ1FVFSUyfaoqKhqu3rDw8ORkpKCoqIi47bbt29DIBDAz8+vSeMl1okxhpOx/Lg1vzx7tOpmubwBAAIRh57O5V3EHoU0DqUJ1KlAoSsh0hjUxXpcV/FT89rqlHDwNN8y1VUZ2p1vKs4MKKGJ901kwYIFWLt2LdavX48bN25g/vz5SEhIwJw5cwDwFyXTpk0z7j916lS4urpi5syZuH79Oo4ePYo33ngDzz33HORyuaWeBrGg7BgtYuR8d383hTNEEvNPL37QszP5YjnNrgTMiVpQGlud0jFdCZHGkHCuDEku/PuhX6Dlxp8YPPOKL2RiAXLVasTmFVs6nGZp0qRJWLlyJd555x10794dR48exd69exEQwE8TTU1NNZkJaG9vj6ioKOTl5aFXr154+umnMX78eHz55ZeWegrEwu4eL0GKK//5jOhk2fEnBh07OyDYXQE9A07HZFs6nGanzpeuCxYswLPPPotevXqhf//++PbbbytdCSUnJ+OHH34AwF8Jvfvuu5g5cyaWLVuGrKwsuhJq4U6ezoVKooNYK8DAvua7C2l1pCIhege64NidLJyOyUY7TwdLh9QszZ07F3Pnzq3ydxs3bqy0LSQkpNLFEGm5jkRnQWvHYFcmQvggZ0uHYzSgjRtiMotx/E4WRnbysnQ4zUqdG7TpSog01Ol7/JWGd44CQX2so0jtG8QXSnQVRIj10WkYzmXwt8UILHCAR3uJhSO6L7x8mYQTd7NooGwjq1fnP10JkfpSF+txU82PP2kDB9i5CC0cEa9fMH9vjRM3s5FxWwWPdua9vwchpHqpV9SId+RvR9HT3aXaSRmW0EXpBA5ATFYxdn2SgSffrHo8Jqk7GhJIzCrxfBmSXfh+5D6tLN+9YyC/LYFIxyFfo8Hfv+VYOhxCSAXXjhch04mf9Tm8p3WMPzFwVorhUb7s/dEbdMuMxkQFCjGrU6f48ScirQADertaOhyjgO5yeOXw6yqcvEProRBiTY5czgTjAOdCKUIjHGs+wIzkjkKEgJ9pekOfj6Ismm7cWKhAIWYVK+ebaX1y7RDY1zrGnwCAvYcQrXX84NjrZfm0HgohViSnLb+UfDu9Eg5ell2WoCqG1bCT3IoQd7L6VdJJ3VCBQswqyYmfXvzUJB/Yu1nH+BODPv58l1OycxGSL6ksHA0hxOC2iF//5LmXrXNV8SED3CHScSiVanH6nzxLh9NsUIFCzEavZ/gnlh/fER5i+fVPHhTey7U8yejwz6k8S4dDCAGQll+GmMxiCDignwXv2/UwQaFy+JQvvX86LguM0WyexkAFCjGbW+mFyCvRwE4iRBdf6+pHBoDgPhXGodym6caEWIOT5Xc97+zrCEe52MLRVE0k5dBJ7gQAuCsuRF6i1rIBNRNUoBCzOXqZTzShAc4QC63vraf0FiFYWz4OpTQPWhVdBRFiSapCPQ6c5e9eHGalrScGA9rx8aW4FiHmVJmFo2kerO9bgjRLmlI9ft6SAgDwSLGzcDTVC/XjV6hMdipGyiVKMoRYUszxUhy9zl/Y+KRZb94AgIhBrpCqhVCL9Th5llpgGwMVKMQski+pkOzMr38SpLLepeQH9nKFQMehRKbF2dP5lg6HkBbt3Ok8FMk1EOg49A62nnWTquLTWQq/Ar6L+GxqDo1DaQRUoBCzOHMqD6VSLYQ6DgN6Wc/6Jw9q3ccOXgX8lVp8+ZRoQohlnDTcFiPfDq17W3cLikDIYXgvDwCANkJtVavd2ioqUIhZnCofdOqVa4dgK1r/5EGOviI89qg3ACBJSXc2JsRSClK1uC3gpxd3EDtBYmf9X1dPPe4DAIhOyEWZhhZsayjr/4sTm6dVMVwv4btLgrQOUHpb30JLFfVrwzclG6ZEE0LML+6fMiS78usmhQVbb6trRa3d7eHhIIVKq8f5hFxLh2PzqEAhTS7lchmSnPjWiFAf67lNenVCA5whEnBIzitFUm6JpcMhpEU6fSYHZVIdxFoBhgywjQKF4ziEteZjPXWPBso2FBUopMlFny5AsVwDgZ7DwFDrnioIAHYSEbr48eu0HDpHN/8ixNwYYzgdz7dg+uYq4N/DeruFH9TTnb8I+/1gGtKuqi0cjW2jAoU0uZM3+CsJjzw52vaz7oFuBoap0Ft/TIFOQ6PxCTGnvEQd7kn48Sed5E4QSWxnwKlPuj0AII4V4dqxIgtHY9uoQCFNSqdhuFqUB4CfXuzoa93jTwyCNfxU6CTHIqRdo6sgQswp9nQJUlz5bmHDAmi2otcgJyiLJWAC4NhlujN6Q1CBQppUboIWKeXrn/Twtv7xJwYDe7iBY0C+Qo3LpwssHQ4hLcrtokJoRHrI1EIMGGDd6588yMlPhOBS/gLnYm4urUjdAFSgkCalcdMiX66GgAOeesbb0uHUWkg/Bdzy+X7v49dosBsh5pQZwA9OH9DBDT5dpBaOpu56efJFVaJzEVLozuj1RgUKaVJnyqfqdvZ1RFBn2xh/AgDOASK0KuX7kq/k5kGvpasgQszlRPkNAgd3cYdQbDvjTwyGhroDALIdy3D1JI1DqS8qUEiTOh3DFyh9Am2rmZbjOPTw4LukEh2LkH6DxqEQYg6lah3Ox+cBAMLb2Nb4E4OuA5RwLZABAI5epZmA9UUFCmlSZ2L57pG+/9/encdHVZ+LH/+c2bPMZE8gkIQECPsiQSBBQEFjcWurrbRaV+yValuR62213vsTvd7Se1sttRWXutcFat0tCrHsgiyBCAaQnQRICFkn60xm5vz+OEkgJIHsZyZ53q/XvDSHmfAEhu885/t9vs83QBotnWvmRG1wLLO7yN0ibe+F6A3bDpfg9voYGGZjSFTgzLqeKzTWyLB6BwB7astxV/t0jigwSYIiesya10o4fKYaBRhtd+gdToeNSQ8lsuEuaOMeqUMRoqepqsqyJccBSPU6Avo8mymDGupQIqs4sVPqUDpDEhTRY9bu0NaRI502gn2Bsb34XJHJJpJqtDqU3WXl+LxShyJETyo54uFIsDZbOfhMqM7RdM3sKTEYfOAMcZO9WU5G7wxJUESP8HlUdpdpZ1Ek1YQSnhh4CYqiKEyIDgfgZHg1zgI5/Ksrli1bRnJyMjabjbS0NDZu3Niu13355ZeYTCYmTpzYswEK3eVuruRMWC0As8bF6BxN14xIDyHJpyVZFWNrdY4mMEmCInpE4V43J8K0/icTYyICdqp23m3a6aRn7LUokTKD0lkrVqxg4cKFPProo+zatYsZM2Ywd+5c8vLyLvi6iooKbr/9dubMmdNLkQo9rcs5A4o26zohI/CWhc8VHGHkhqu11go5FXJwYGdIgiJ6RO5XVZQ46gCYdUlgVuIDjJpgJyUmBFWFbcfkdOPOevrpp5k/fz733HMPo0aNYunSpSQkJPDcc89d8HX33nsvt9xyC+np6b0UqdCL6lPZWax9kA9xhhIzwqxzRF132XBt7Nt8uASfT25wOkoSFNEjNu3R6k8iKq2My7DrHE3XTGvYgbT1iBTKdobb7SY7O5vMzMxm1zMzM9m8eXObr3v11Vc5fPgwjz32WLt+H5fLhdPpbPYQgaP4UD1HHVr9yaToCAzGwJx1PdfEhHBCLEZKq93sK5T3Y0d1KkGRtWRxId56la9LywEYUmMnIinw6k/O1ZigfHVUEpTOKC4uxuv1EhcX1+x6XFwchYWFrb7m4MGDPPzww7z11luYTO17/yxZsoSwsLCmR0JCQpdjF71n+6ZynCFuFB/MmhjY9SeNzEZDUw+ov//jlM7RBJ4OJyiyliwu5vQ+N/lhWvfESwK4/qTR2NAwAHJPONn4hqwld9b57wNVVVt9b3i9Xm655RYef/xxUlNT2/39H3nkESoqKpoe+fn5XY5Z9J51DbOuA8qDGTEtROdouk/IDq1VwZqcIqqLpdC+IzqcoMhasriYvX2k/qRRGBbCqyyoCqzdIV0hOyo6Ohqj0dhitqSoqKjFrApAZWUlO3bs4Oc//zkmkwmTycQTTzzB119/jclkYs2aNa3+PlarFYfD0ewhAoPqU8lxajVeQyrtxKQGfv1Jo4xkbQw8FVXNwS01OkcTWDqUoMhasmiPTQ1NzSIqrYwP8PoTgMgUE4lV2s/xdYmcy9NRFouFtLQ0srKyml3PysoiIyOjxfMdDgd79uwhJyen6bFgwQJGjBhBTk4OU6dO7a3QRS85c6Se4+HarOuUAVEohsCedT1XekYEIbVmvEaVtdvkBqcjOlQc0JW15I0bN3ZoLfnxxx/vSGjCj7jTXbAbJkSEB2T/k/MpisLE6HB2U0KevYqi/fUMGGvRO6yAsmjRIm677TYmT55Meno6L774Inl5eSxYsADQlmdOnjzJG2+8gcFgYOzYsc1eHxsbi81ma3Fd9A0nLdW4zF5CTSa+d2PLWbVANniSlcTnQtk3uIytJ0uAFL1DChidKpKVtWRxIbvOlAPwg5vjA77+pNHM8VrRXnFYLfu2yOmkHTVv3jyWLl3KE088wcSJE9mwYQMrV64kKSkJgIKCgovWsYm+a8MBrf5kxshokqcE5vk7bTEHGZgQqh08etDmpOKUR+eIAkeHEhRZSxYXU1btZn/DdropyYF1gvGFXDLdQVhDHcqG3cV6hxOQ7rvvPo4dO4bL5SI7O5uZM2c2/dprr73GunXr2nzt4sWLycnJ6fkghS42HtSWPmam9o3dO+e7fEwMqFDiqOPrTVKy0F4dSlBkLVlczNajJagqpMaFEmu36R1Ot4lMMTGkWqtDySkpw1svdShCdAdnXT278ssBuGxY4BfVt2Zshp3YiiAAvthZpHM0gaPDBQKyliza4nGrvPuettd/alKUztF0L0VRSIuN5GtKyAuvojDXzaCJVr3DEiLgLX/zJF6fyiBbELHmvnNTc66B4y0kldkpCq9lR3Fpm2URorkO16DIWrJoS8FuFzuLtD4hQTv63of35RO1u7sSRx3fbK7UORoh+oa1udryTuS+YKrO9M0+IUazwuRobcn7qN1JydF6nSMKDJ0qkpW1ZNGarzc7KbO7QIXZaX1vLXn8ZQ6inNod3oY9UociRFd53D6+8Wk3NakuB5HJgb/rry2XTYrC4jVQa/Wyr1jqUNpDzuIR3WZDrtb/JKYiiNEZoTpH0/3CBhtJi9Oq8T0z3TpHI0Tg++qrMiqD6jF6FTKGR/fpZY9pt4cxu2E3YLZTDh5tD0lQRLdw1/j4plq7ExrqtuMY2PfuhBRF4Yc/HATA9pMywAjRVZ99dRqAQSWhDJ/at7YXn89oVpg9UtvtuvZbadjWHpKgiG5xcpeb/EitP8ilg/rO9uLzTUmOxKDAkeJqCipq9Q5HiIC2pVBbKk0qspM4tW8WyJ5r1ghtBmX3iXKKq1w6R+P/JEER3SJ7SzmVwfUYfHDFlL5Xf9IoLMjMuEHa4YFfHpLTjYXorLIKN8dMWrH5GMIJG2zUOaKeF+ewMSbegarCZ5tb774uzpIERXSLDfu1Kcu48mBGpPedk0hbM2WwNkP07vsncdf4dI5GiMD0yZoCfAbtzK4JEx19uv6kUV2Fj+i92lLWPz47pXM0/k8SFNFldRU+cusrABjhCyckum/fCTlytIZLu6vLyd9ep3M0QgSmL/ZoDcsSi+wkTun7yzsAVodCQoHW8HG/oYK62r65rbq7SIIiuuzotlpORGn1J9OT+1aDttZcnh6DyaNQa/Pw5WYplhWio3w+lZ2V2r+dIUUOEqf0vb5JrVEUhWljIrG6jbjMXlavla6yFyIJiuiywqAaXBYvNq+RWRl9P0EZNi2I+FJtG/XGQ9IPRYiOyjlRTpXRQ5BiZHZ6NPYBfW/XX1uSpwWRVKTNonyWfVrnaPybJCiiy75xlQNw+fgYUq/o2/UnAEFhRkYbtULZ/WoF1SUyTStER6zO1T6Yrxwfx3d/13eL6luTNM1GSqE2fmwtL0ZV5VyvtkiCIrps48GGo9JT++ZBX62ZMVwbVE9FVXP4qxqdoxEisGTt1XawZI6O0zmS3hcaa+QSezhGr0Kp2cU3h6WrbFskQRFdUuXysDNPa9A2c3j/uRNKz4ggpM6E16iy5itpuiREex0+U8XhM9WYjQqXj+g/Y8a5hk8LYXCxtkz83pqTOkfjvyRBEV3yaVYhHp9KUlQwCZF9uxPkuRLSrCSWaOvIX52QfihCtNfK7AIAJsVFEmrpP7Un5xqSbiP5tAOAdUelULYtkqCITlNVlRXvadl/7JGQfrWWag4yMCFEO5fnQJCT8nyPzhEJERhW7tSWd2yrbHz5bP9c3hg82UpKsQNUOKZKV+q2SIIiOq34cD2H7Fr/k3HG8H7RaOlcs8fHoqhQ6qhj+/pyvcMRwu8VVdax36klJUNOOxg0yaJzRPqwBBtIHRPKgHJt1vmzXdJVtjWSoIhO27S2lMpg7STS2ZP631ry+Jl2EtzarqUjYf3zTlCIjvj8m0JUILYsiDCvmUGX9I/+J63JfCyC225MACDrgGw3bo0kKKLT/pWrrZ0OKgkldXrf3158vgFjLdx8fcPpxqVShyLExXy0XWvvPqwgnPgJVizB/fcjKHKImRsujQdg69ESiiqlK/X5+u+7Q3SJt15lV63WCXJ4tYOYVLPOEenjipGxgHZwYF299EMRoi2nnXXsPKXt+Bt2Koyk9P47e9IoITKYiQnh+FRtdkk0JwmK6JQDO6o5FVYNwIwhMf2u/qTR6IEO4hxWauu9bD0qbe+FaMvKPQWowIDSYOx1FhKn9o/zdy7muvEDAfgkp0DnSPyPJCiiU1ZuPI3acBLp5IxwvcPRjaIoXD5Cm0X5YLWcTipEWz7drX0ADysIx2pXGDi2fxbInqvipIfgVdrhozuOl3LaKcs855IERXTKpnytOVlSkZ2kaf17qta8Shto135bhKtalnmEON+p8lqyj5eBCkMLwkicasNg6p+zrucymhVOfuhhQGkwKtoskzhLEhTRYVXlHvaZywEYZ4rAHtc/my01mhIfhdGrUBHiZtM6WeYR4nz/bJg9GVgaQmidmSEZsrwDWtv7mFQzw06FA/BhtnSVPZckKKLDNu8roc7ixeY2MnNC/zl/py0jp59tW/3xNrkDasuyZctITk7GZrORlpbGxo0b23zu+++/z1VXXUVMTAwOh4P09HRWrVrVi9GK7qKqKu/tPAHAzIhYgsINkqCcI/kyG8MKwlB88PWpCo6cqdI7JL8hCYrosM1ntMMBr5kygOn3hukcjf6S0m0MLdL+HL4qK9Y5Gv+0YsUKFi5cyKOPPsquXbuYMWMGc+fOJS8vr9Xnb9iwgauuuoqVK1eSnZ3NFVdcwfXXX8+uXbt6OXLRVbmnnOwvrMRiMvCbxcO5f0M84YP796zruZIvsxHiMpN4Rjs64/2dMovSSBIU0SGqqrI6V9sON3f8QIIjjDpHpD9rqIGMuGgUFU4H15K7R5q2ne/pp59m/vz53HPPPYwaNYqlS5eSkJDAc8891+rzly5dyq9+9SsuvfRShg8fzm9/+1uGDx/OJ5980suRi65qnD25alQcYcFmFIPUnpxr0CVWzEEKI05oR2e8v/MEPl//OTbkQiRBER2y52QFpyrqCLYYmTFclncajbvMzsBSrVndP/4ld0DncrvdZGdnk5mZ2ex6ZmYmmzdvbtf38Pl8VFZWEhkZ2eZzXC4XTqez2UPoy+3x8VGOtrvtprRBOkfjn4xmhaRpVpJPO7C6jZyqqGPLEWn8CJKgiA76pKHGYlZqDDazzJ40SplhI6VQO510fcMOJ6EpLi7G6/USFxfX7HpcXByFhe1rTvXUU09RXV3NzTff3OZzlixZQlhYWNMjISGhS3GLrlv3bRGl1W4irBamDY7SOxy/lTwjCJPPwLBT2lLxe9kndI7IP0iCIjrkwy+1u6HonBA8bpmGbBQ9zMxYjzZFe9RUSWGxnE56vvOb+amq2q4Gf++88w6LFy9mxYoVxMbGtvm8Rx55hIqKiqZHfn5+l2MWXfNuwwdt0l4Hz88sYP3T5foG5KeGztSKhkc2LPN89k0hzrp6PUPyC5KgiHb7+lA5Z8x1GHwKAw+HYLLIWnIjRVG4ZFoYMeVBqAos/0yWeRpFR0djNBpbzJYUFRW1mFU534oVK5g/fz5///vfufLKKy/4XKvVisPhaPYQ+jlVXsu/9mmH4I3Kj8TrBlu4fOS0xj7AROxIM3HlwUTV2Kit9/K+zKJ0LkGR7YL909urtDvSpCI7ozLsOkfjf1IuszHyTDgA64rkdNJGFouFtLQ0srKyml3PysoiIyOjzde988473Hnnnbz99ttce+21PR2m6GZvb83Dp8LQejuRVdoMQcoM2V7cllmLwrn1zTh+MS8FgL99dRxV7d+z1B1OUGS7YP+kqipf5GkfusNPhjN0lgw050uZGcT/PDcSgJwz5Zwql2WeRosWLeKll17ilVdeYd++fTz44IPk5eWxYMECQFueuf3225ue/84773D77bfz1FNPMW3aNAoLCyksLKSiokKvH0F0gNvjY/l27TMhda+2bGEfYCR6WP88VLQ9hmTYGDTRyk1pgwmxGDl8ppoth/t3sWyHE5Te2C4o1fj+Z/uhUkoUFyaPgVHucAan9e/29q0xmhUSY4OZkqztNPl0t5zN02jevHksXbqUJ554gokTJ7JhwwZWrlxJUlISAAUFBc1ucl544QU8Hg/3338/AwcObHo88MADev0IogM+zy2kuMpNlNVC0gmt8DNlhq3fHiraEXabme9P0nY8/e2r4zpHo68OJSi9tV1QqvH9zztZ2npoSqGDUbNCMBhloGnLDRPiAZq2VwrNfffdx7Fjx3C5XGRnZzNz5symX3vttddYt25d09fr1q1DVdUWj9dee633Axcd9rctxwDIUOMwqtpYkTwjSMeIAstt04YAsHrvaQoq+u9MbIcSlN7aLijV+P7F61P5V+Pyzqlwhs+RgeZCrhk3EJNBIfeUk0OnK/UOR4hetTOvjO3HyjAbFYZka7MnBhP9/lDR9nDX+Nj5ViU5v6kl1ejA61N59ctjeoelm04Vyfb0dkGpxvcvG/afwUk9VreRlGoHSdOk/uRC9r9Ry+Ai7Wyet/4lybXoX55bdxiAuUMH4juufcQMnmzFEiw7eNpj3VPl5G1zMS5Xa4T51lfHqajpn1uOO/SO6a3tgsK/vP6Ftg6aejKc1BlBmKyyvHMhtnADqce1wsAPc0/i8fp0jkiI3nHgdCVZe0+jKDCremDT9WGXy6xre1iCzx6kGHcohGHhoVS7vbzesGTW33QoQZHtgv1PSZWLTQVaZ9TReZEMnxOsc0T+b/jsIFJOO7C5jZR53Ww4KJ1lRf/w/Hpt9uQ7YwYwfGAoManarp1hsyVBaa/UK7UxVkHhSq9Wz/bql0epcXv0DEsXHZ5zk+2C/csHu07iUVXGDwrjl88lkSLbiy/KHmciYbyt6fCvN9a0vgVfiL4kv7SGjxsKw392+VDG/yCUO98fwIIvBhIWL6cXt9fQy20oDaeIRGwKITEymLKaet7Z1v+WizucoMh2wf5DVVWWb9f+UcybksCgibKO3F6jrwtmVL62U21j3hmKKut0jkiInvXU6m/x+FRmDI9m/ODwpuv2AZKcdERQuJGEhjYOznwvPxmlfbY+u/YQlf2s/X2nPm1ku2D/sDOvjENFVQSZjU1bZ0X7jLg6mJhaG3FlwXhR5fAv0ad9c7KCDxtmT379nZE6RxP4zt0pOSIvgpToEEqr3fx1wxEdo+p9cjss2vTaxmOAtm3WbpMOkB0RHGFkSIaN0XnaLMobG47j9fXvttWi7/q/Vd8CWg+g1Ag7pcf6151+dzs3QTm8uo6Hrk4F4K8bj/ar2VhJUESrCivqWJmr7daKXWknf3v/+UfRXUZfF8Lwk+FY3UYKaurI2tu+XkFCBJJNB4vZcOAMZqPCQ5kjOLKhjpevK+Tl6ws4uKb/NhnrCvsAE4MusQBQctjDZEsUExPCqa33svSLgzpH13skQRGtemPLMbyqysCSEAw7zBjMsrW4o4ZdYSPYZmTs8SgAXtpwVOeIhOhedfVe/t9H3wBw69QkEqOC+XZVDQClRz1YgmXc6KyR1zTsmFSgYE89j8zVls7e2ZbHrrwyHSPrPZKgiBZq3V7e2qIVOk88Gk14gon4CRadowo85iADqVcFkeGKxYjCjrwydp8o1zssIbrNsnWHOVJcTYzdyqLMVNw1Po5s0GZbgyMNJEyW7rGdNSIzmNkPh/OzNfFM+EEoU1OiuPGSQagqPPL+Hur7QX8lSVBEC+/tPEGFqx5HtYUhhQ7G/zBEDvnqpNm/jmDRx4nccIlWZPzyJplFEX3DoaJKnlt3CIDF14/BYTNzeF0dHpdWa5V6VRAGk4wbnRUSZSTtJ3ZCY4xN1x69dhThwWb2F1bySj8YSyRBEc3Ue3282FApPv5YNCaTwrjvhegcVeCyOQwoBoX5lyUD8OnuAvJKanSOSoiuqff6eOjd3dR7VWaPjOWacQMAmpZ3QNvJJrpXVKiV31wzCoA/fnGAg9181lfpsXrWPVVOYa67W79vZ0mCIpr5YOdJ8kprCHIZGZ0XyYjMYIIjjRd/obigsYPCmJkag9en8uc1/afITfRNf1j9LTn55dhtJv77e2NRFAV3tY8jG7Wi2OAoA4PTZHmnO3nrVXxelR+mDWbG8Gjq6n38/O1d1NV7u+33+PRXJWx/tZKP/724275nV0iCIpq4PT6eafjwvORwLGavgYnzQnWOqu+YP0abRXl/50mOFlfrHI0QnbP+wBleWK/Nsv7+B+MZFK5tiT20rhZvw433iMxgDEZZ3ukO5fke1v6+jOfnnOLIhjoUReHpmycSHWrl29OVPP7J3m75fUqP1nN6r7Y9vOKEl9ry7kt8OksSFNHkvZ0nOFFWS1CdibHHoogaamLQJCmO7Q7bX69k2/w6kk7b8aoqf/6XzKKIwHOsuJqFy3cBcNu0JL4z9uyBgHs/PWd5J1PO3ukupUfr2fF6FTWlPva8XwVAjN3K0nkTURRtV8/ybV0/TuNAVvMt4V4/OPpHEhQBaNsFGz800w7HYPYZmHSLXYpju8mQDG26e8oB7dTvD3NOdvv6sRA9qaTKxR2vbqOspp5xg8J49NpRTb9WdcbLsS+13TuOgUZZ3ulGQ6bbCI3TltkPb6ij6ow2s3HZ8GgemDMcgEc//IZ13xZ16fc58MXZBPPfVg0kNFr/pX1JUASgnUJ6qqKO2CAr1w4aREi0gbFSHNttYoZbGHq5jdiKYFIKHPhUePyTvaiqdJcV/q/K5eGeN3ZwvKSGwRFBvHznZGzmsx9gnjqVkd8JxmRVGHNDCIpBbmy6i8GoMPa72liseiH347PLww/MGc6NlwzC61O5/62dnW5jUJ7vaVreiRttJmyQf5yfJAmK4ERZDc+t045J/6/vjebHz8dx10cDMFllkOlOU+9xAJCxbyBGn8KmQ8Wsyj2tc1RCXFhFTT0/eWkru/LKCQsy89pdU4i1Nz/VPDzBxHX/F8XP1saTdrvUrXW3c28W93xQ3XRjoygKv7tpPNOHRVHt9nLrX7ey/Vhph7//gaxzl+f8Z/eVJCiC//nnPlweH9NSIrluvLamHBSm//ReXzNoopWEyVbCaqxccigGgCf/ubdbq/CF6E5FzjrmvbiFnHwtOXnj7ikMi207AbE5DDJ29ICIRBMJl2rLZmXHPBz/ytX0axaTged/ksaU5EgqXR5ue3krazu43HPgi7P1J6lXafVDdU79G8FJghIgDmTVsOnPFbiquvdNs2b/aT77phCjQWHxDWOk5qSHTf2pHYBJh2NxuM2cKKvlT1IwK/zQ1iMlXPPMJvYXVhIdamXFvdOYkBCud1j91iU/OpsY7nijef2a3Wbm9bumMCs1hrp6H3e/tp2/rDmIrx0HlJbneyjYrW2/ikk1s/l5J3+efpJnZ57E59F3CVoSlABQdcbLxw+VsOUFJyt/0/Hpu7aUVrv51T/2ADC5KAbjXrPURPSwIRk2BqdZMXsNTN+tdZd9Yf1hso9339+rEF3h9vh45l8HueWlrRRXuRgRZ+e9n6UzcoCj5XOrfeT8vQp3jf53233d8DlBOOK12amjG+soPtz8xOggi5G/3j6ZeZMTUFX4w+oD3P36dgoqLnxgoylIYdpP7YTGGRl1TTD1tSp1FT58Hqg4pe9WHklQAsCZA27UhlWAQ2tqObKh6yeEqqrKox/sobjKRWy9jYnbYvnwl8V8u0pOH+1JiqJwxX+EA5BSGMbo0xH4VHhwxddUu7o+GLirfajtuGsSfZ/HpfLOHad5Jv0Eb99+mmNb6li1uJTVT7SdDG87Wsp1f97I01kH8PpUvjcxng/uzyApqvWC+W8+rCbriTKev/IU32ZdvEOyx6Wy/K4ilt9V1NQSv73Pae36+de68nWd03fB57Y3hvb+rO35sziXwaSQ9hN709fZf2u5C9BiMvC/PxjP/940DovJwLpvz3DlU+t59cujbZ7dExptZMYD4cz/ZACH19c0+3wpPSoJiriIsuPN3yT/WlLerjf0hby744S2tKMoXL4lAZPPQMQQE8PnSP+CnjZgrIUxN2iFaNc7kxgQaiOvtIbFH+d2eQZr1WOlvHVrEYXfaFO2MiMmAFDhk4dK2P2PanI/qmm2VKyqKtnHS7nt5a3c/MIWDpyuIirEwtJ5E/njvIkEW1rf0aH6VHa+rfXlcDlVIpP8Y+dHXzbuxhAsIQoh0QYih7T95z3v0kQ+/cVlTEoMp9rt5fFP9nLFH9axYnsebk/riYrBqKAYFJRzsoLSY/omKPKOCgDlec3fJOX5Hra+5GT6/WGd+n7Zx0v5zw+1I9LTjw0gxqklJZc/FI7RLDUovWHGA2EMusTKuBtDmHjMxq0vfcW72ScYHe/grunJnfqex7bUsf9z7e7nbz86TdhgIyHRRm59M647QxcBSDEojMgM4ut3q/G4VA5+UUv8VWZW7ingnW155J5yAmAyKNx8aQL/kTmCiJALN2k8uqmu6eYpcaqVmFRp6tjTrKEGbn4phpgRFkyWC4/VqXF2/rEgg3e25/HHrIOcKKvl1+/t4f8+/5YfTB7MTZMGMzw2tEXdYfMEpR49yQxKAGg2g6KAPc7IkOm2tl9wAafKa7n3bztxe32MrY9g/J5oAIbNDmLorM59T9Fx9jgTE34YisGokD40ikfmak2v/vvTvWw8eKbD36+62MvK35Q0u1ZxwkvxwXq/mUVZtmwZycnJ2Gw20tLS2Lhx4wWfv379etLS0rDZbKSkpPD888/3UqR9i8+j4q7xkXK1jYKIarKHFvHLDdlMfjKL//zwG3JPObGYDNw8eTBrH7qc335/3EWTE4Dst6qa/v/cpQfRswaOs140OWlkMCjcOjWJjb+6gv+8dhRxDisl1W5eWH+EzD9uIP2/1vCfy79hVW4hpdXarOu5CUqZzks8MoMSAMrytTeJOUgh87EIhky3ERzR8a18xVUu7nx1G8VVLpJsIaR/Fo+CNl149eMRsoNHR/fMSCb3uJMPc09y35s7+ds9U5nYzh0TPq/Kpw+XUH1Gm7pNnGpFUeD4Vy7c1So1pT5CovTd+rlixQoWLlzIsmXLmD59Oi+88AJz585l7969JCYmtnj+0aNHueaaa/jpT3/Km2++yZdffsl9991HTEwMN910kw4/gf9TVZVKl4fiSheFzjpOltSRFVpE/qhaSkLrePz9OnzTz30BjB7o4MZJg7hp0uB2JSWNCnPdTZ1jwwYbSZkpNzf+LMhi5J4ZKdyZMYQ1+4v4+4581u07Q6GnjjdzjvNmznEAwmLNRFpshDutOCqtFJZbGX/KRqzDSniQGZOxd+c0JEEJAD98MYayYx5qy32MuqZzTXRKqlzc+tet2vqy1cKszxOweLUPre/8d2SnEh7RfYr215P8UhQjZ1Wy3+Xktpe38ub8qRfd1qmqKhufqSCvoS9CSLSB6/43is3PO5t6JZTneXRPUJ5++mnmz5/PPffcA8DSpUtZtWoVzz33HEuWLGnx/Oeff57ExESWLl0KwKhRo9ixYwd/+MMfOpyg/Nt9OVgsF24eFp5gImVG8w/Zbz6sxl1z8dmnpClWooaZm76uLfeyb2XzgtHzv4vacC8w6rpgzEEKKqCqUHTQzandLlQFVFR8gE9R8SkqXkXFq/jwKCpKMDiGGahxe6l2eahyeSitqsd3/u9kb3g0cBjMxJwIJr40hJuvHcT1P4u96M/Xmk1/rmj6/0vvtMvBgDqpOOXhy2crmHK3g+ih5os+32Q0kDlmADMHx/KXv+ZzMMjJyZgqaia4OFJWTYWxnoqoeog6W4D73jPawZCKAnarCbvNTH2hisVnxOwzYFIVTD4DRlVpeBhQAIOqkDLdhiWkrtM/nyQoASAs3kRYfOt/VfV1Prb+tZKpP7VjtrWe3eaX1jD/9e1acmKzcO2/UrBXaXdLk+8IJWWGFMbqqbbCy4r5RbidMOOjBLgxn/21Tn7y8lZeuC2NjKHRrb5OVVU2PVPBtpe1wUQxwPW/jyIk2khE4tn3S1meh0GX6Hc2itvtJjs7m4cffrjZ9czMTDZv3tzqa7Zs2UJmZmaza1dffTUvv/wy9fX1mM0tB2OXy4XLdbaBldOp1VVsjjmNwXqRc49cwBfnXQtteFzMsYbHudr5ub9paysXW//rbv33bYXZYyCkzkxInYmwGith1RYiK21cdV00M2+K5OVrCwE48a4Hz91qhztGn8h2cXRTw+zJICPjb5LOsXo4/lUd7/3sDN56cJ70Mu+VmHYfMbDtVSdquYFh5eF8P30Q3/l1JGUVbp7/9zwOllVREeqmxFBHpa0eV7iHKtWDqoKzzoOzzgPtnDDbvh98rovv7mqLJCgBzONW+WhhCUc31XFyl4vr/k/7cDrXtqOlLHgzm9JqN7F2K89elcb2dTVUo83GXP7v4foEL5oEhRmZ8cswvniyHIvXyIz3E/Ben8fBukpuf3kbi28Yw0+mJTV7jcelsv7pcnaeUwcw+9fhJFyqjRznJijnF1n3tuLiYrxeL3FxzYt14+LiKCwsbPU1hYWFrT7f4/FQXFzMwIEDW7xmyZIlPP744y2ujymIxGy58LlSjngjSVObj7r7P6+hvvbiMyiDLrESlXz2z7vO6eNgVtvb9Zs+QlSFMdcFYwkxNFxXKDlQz8mdLhRVQVG1u9DGu1GjT8HQcLcaFmlizgORBFmMhFpN2G0mtvyuktLtXsw+7fvV16j4zmlSPOXKcCKTzAybHcShNbVUFXnZ80F1swZgF9M4Y9co42dhUlivk/gJFkJijDhPecnf4WLHG5VcemfLXjXnqyr2No0bRjNk/Ex7jd1mZki9nZBTNsITTHjrobLQw+Q77Ez5qZ2K2nrKauopc7p555en8Rh81Bt9eAw+vAZVezTM9vkUFVVRGX51MMbQGp5Y2rmfURKUAFZ6tJ6Tu7Q7xrxtLl6+oYBZi8IZfV0wmOG5dYf585qD1HtVxg5y8OJtk4kPD2LYG3a2v+pkzm8i5FAvP3HJj+zUlPrYvMyJxWtk9sdJBM08xe5QbcfV9mOlLL5+TFOdQOVpL7v/cfbQsDmPhjPpx2fn8sPPm0HxB+fXOKmqesG6p9ae39r1Ro888giLFi1q+trpdJKQkMCKFy/F4bj4wN3C9zv+kia3d+G1nTRyafOfsbrYy9u3n8Z5yotjoInYEdp7J2OBg0NrtARq60tOxt0Y0u6iy5pSH+UNNXGRySZtrBG6MAcZmPtkJCvmnwEVNv6pgiHTbcQMb7uWSFVV1iwpa0q8J9wcimNgyzTAHGTglr/FNJtdiwq1EhVqhVi4dGVku+N0Op080YGf61yyi8fPHV5XS/ZblSy9NJ8/Tctvdj5C7AgLP/xrDEHh2l+jy6myenEZ/3nNIS7/9XqezjpAvVdlVkws796bQXy4tpQTkWgi87HITt/5+HOzpc583dF4O/Pn0R4ZP3Mw59FwjGYw+Qxctm4Q0/YNQFHho5xTzPn9ej75+hQ+n0pEoon0ex0YTHD14ohmyUmd08ebt5ydmSg7ru9WwejoaIxGY4vZkqKiohazJI0GDBjQ6vNNJhNRUVGtvsZqteJwOJo9+jOr3UBojBFzkEJo7NmZ1bjRlqYde8GRBqrPtP8sqJAoI3d9MIAx3w3msl+EYTDJDY6eEqfYmHy79m/fWw8fLSyh8nTbNyTbX6tsasZpCVWY+lP//jciCYqf+/rdKtYsKae+lpaVdkD8eCt3fzyA0dcHU2Kv4/NJx1kx5SAnTTVY3Uau3JXA3L2JBFmkCNbfKYrCpB/bufXtOCKGmFBQSDscy41fDiOi0kppnZtfvLOL7z77Jeu+LWLynaHc8d4Axv+g5RS9oihNawnl+R5dtxpbLBbS0tLIyspqdj0rK4uMjIxWX5Oent7i+atXr2by5Mmt1p+Ijrnsl2Hc+Gw0t62II2xQxybSbWEGrvmfKL869bY/m/HLMKKHa/8myo57WH7nGZwFLZOUQ+tq2fDHs8tz1/w2itBo//5ckATFzzWbnm/lZqXW7WXtiSLeSjnI8lkHOBxfASqMzI/gx+tTGXEyAnelSn2dnJURKOJGWbjrgwF8d2kUQ6bbGFgZzM0bh3PP+BRCLEb2nKzgzle3c/WfN/DP0ycprnK1+n0a+xm4KlVqy/T9+1+0aBEvvfQSr7zyCvv27ePBBx8kLy+PBQsWANryzO23n10XWbBgAcePH2fRokXs27ePV155hZdffpmHHnpIrx+hT4kdYWHorKB2txboaudq0XNMVoUbn40mbLCWbJTne/jbvNNsfcXZ9PemqirbXnGiNgwD6fc6GD7b/zdHdKoGZdmyZfz+97+noKCAMWPGsHTpUmbMmNHm89evX8+iRYvIzc0lPj6eX/3qV00Dk2ibz6s2rfcqBu2uWFVVjhVXs+VICRsPnmHt/jPU1mtTtAYFrh4zgF/OGUaCMRSjBSwhBiliC0BGs0LqlcGkXhmMz6tSX6NisikscKWwbO1hVmzP4/CZah77OJfHP8llWkoUs1JjyBgaTXJoSMP3gBn/Hk5MqrmpEFMv8+bNo6SkhCeeeIKCggLGjh3LypUrSUrSin8LCgrIy8tren5ycjIrV67kwQcf5NlnnyU+Pp5nnnlGeqD0IHeND0twy/fJNx9Ws+VFJ/Nejmm1XkHoLyzexI9fi2X53Wcoz/NQU+pj19tVTL5NW/5RFIXMxyJ54weFJM8IIuM+/17aadThd5s0XOp5qqpS7fZy6EAVx8MrqQh2U+FwUeao45WleymvbV5TMCg8iO9OjOfWaUkMCvf/rFh0jMGoYLVrSWa02cr/u340D141nPeyT/D+rpPsPlHB5sMlbD6sdZK1mQxETLQRUx1EULybYY5QqkuCGBhmIzzYrFtDvvvuu4/77ruv1V977bXXWlybNWsWO3fu7OGoBMDRL2tZ+Ugpw2YHccV/hGMJMVDn9LHjjUq2vOAEFZbfVcRty+MICvfvZYH+yj7AxI9fj2XN78r4dnUtU+6yN7s5jR5q5sdvxBI32hIwfWs6nKDo2XDp4UV7sV6k4dL4m0Kxhp69Czi9z03etos3irE6DIz7fvOtiAe/qKXipKdlk6XzvooZYWbwZCsq4FO1BGPnikpUFXyo+JSG/9LQbAkVT0PDpfARRnxBPqpdXpx19ZQ56ympduFRGn6Xaef95rVgNipckhBB+tAoZo+MZfzgMOkC28/YbWbunJ7MndOTySupIWvfabYcLmbrkVIqXR4KwmooCKth9xfN298bVIUQn4kg1YjNZ8SmGrGoRiyqAZNqIDzWxJBJQZgMCiajAZNB4cDnNdSWV7URifBXJqvCj1+/+DlMedvq+Me9xQDs/kc1366qwT7AhLPAg7vq7Gg37PIgbGFdm4kzWRV+9OqFm8S09ZzWrrd2rStfX+y57Y3hQtfb++udERpj5Ianoik5Uo8jvmUiOXBc2/2Q2vt+6U0dSlD0brj0qT0fg/XChVkfZLVysZ2zWcs/6ORrC4BPzrvW3tYCea1ca8g1LPUGQmvN2GstRNZZiaqzseB3iYwb6sBqkrsYoUmMCmb+ZcnMvywZn09l//FK/rzwOKXBdYRfbeCEs4bjp2qowoNPUak01lNJGzt7qoAN510zgi+0882WhH9LuNRK5uII1v5vOfW1Kq5KFVfl2feHYoQpd9qZsVBuhAJFVErfKCTvUIKid8OlpNN2TBdpuDQkw4bZdvYfUXm+hzMHL77N0hKsMCS9eaOmUzluqoubb8FTGrOHc6ZRIhJN2rSZ0tBUSYF9/6xB8WnNlhRVa7CkqJxttuQ1YPQppN1oJ3F0ECFWE44gE9UHVb58rBKb29jUij4y2UTVGQ+KojB2YBhWk9Q2i9YZDAopUaGMKooA4N9ujMfmMLBqcSm73q+k1uKh1uLFZdYe9SYv9Uat4ZLXqBI21EjKbBsujw+fquLxqXzzaTU1lRbydf7ZRM9QFIUJPwglaaqNdX8op+AbN7WlXgwmhVHXBjPlbkezxn9C9JZOvev0arj00Z/SL9rbwGhp/n19nubdFNsOkhbNirw/Upuqni/4UgMtClE9329f1bvBRLP1QF+KypVzYpo9p77Ox1+/U9Cu7ydEa658NII5j0Rc9HmtvpevUXE6nUS921PRCX8QnmDie3/S+uyrqgoq0shR6KpDCUpvNlyyWluulZmsSofPjTCYFAydTP67svulo3E2MhgVDOet3nhcMkiIrunqe7mz72cRmM7toyOEXjq0ViANl4QQQgjRGzpczCANl4QQQgjR0zq8+CENl4QQQgjR0zpVndHbDZcai2obtxv3N3VOH3WeSkD7M3DrfEKBx6VS426Mx9pqfUJbz2nt+vnXgF79urUYLhRvZ/48elNPvF8a/+3peaZPR/X3cUMIf9CVsUNRA2DEOXLkCEOHDtU7DCH6vcOHD5OSkqJ3GO0i44YQ/qMzY0dAbG6PjIwEIC8vj7CwMJ2jaZ/GrdH5+fkBc+y7xNw7AjHmiooKEhMTm/4tBgIZN3pPIMYtMfeOrowdAZGgGAzaFHVYWFjA/KU0cjgcEnMvkJh7R+O/xUAg40bvC8S4Jebe0ZmxI3BGGyGEEEL0G5KgCCGEEMLvBESCYrVaeeyxx1rtLuuvJObeITH3Dom5dwRizBCYcUvMvaMrMQfELh4hhBBC9C8BMYMihBBCiP5FEhQhhBBC+B1JUIQQQgjhdyRBEUIIIYTfkQRFCCGEEH7H7xOUZcuWkZycjM1mIy0tjY0bN+od0gVt2LCB66+/nvj4eBRF4cMPP9Q7pItasmQJl156KXa7ndjYWL73ve/x7bff6h3WBT333HOMHz++qaNieno6n332md5htduSJUtQFIWFCxfqHcoFLV68GEVRmj0GDBigd1jtImNHz5JxQx+BMHZ017jh1wnKihUrWLhwIY8++ii7du1ixowZzJ07l7y8PL1Da1N1dTUTJkzgL3/5i96htNv69eu5//77+eqrr8jKysLj8ZCZmUl1dbXeobVp8ODB/O53v2PHjh3s2LGD2bNn893vfpfc3Fy9Q7uo7du38+KLLzJ+/Hi9Q2mXMWPGUFBQ0PTYs2eP3iFdlIwdPU/Gjd4XSGNHt4wbqh+bMmWKumDBgmbXRo4cqT788MM6RdQxgPrBBx/oHUaHFRUVqYC6fv16vUPpkIiICPWll17SO4wLqqysVIcPH65mZWWps2bNUh944AG9Q7qgxx57TJ0wYYLeYXSYjB29T8aNnhVIY0d3jRt+O4PidrvJzs4mMzOz2fXMzEw2b96sU1T9Q0VFBUDAnFzr9XpZvnw51dXVpKen6x3OBd1///1ce+21XHnllXqH0m4HDx4kPj6e5ORkfvSjH3HkyBG9Q7ogGTv0IeNGzwq0saM7xg2/Pc24uLgYr9dLXFxcs+txcXEUFhbqFFXfp6oqixYt4rLLLmPs2LF6h3NBe/bsIT09nbq6OkJDQ/nggw8YPXq03mG1afny5ezcuZPt27frHUq7TZ06lTfeeIPU1FROnz7Nk08+SUZGBrm5uURFRekdXqtk7Oh9Mm70rEAbO7pr3PDbBKWRoijNvlZVtcU10X1+/vOfs3v3bjZt2qR3KBc1YsQIcnJyKC8v57333uOOO+5g/fr1fjnY5Ofn88ADD7B69WpsNpve4bTb3Llzm/5/3LhxpKenM3ToUF5//XUWLVqkY2QXJ2NH75Fxo+cE4tjRXeOG3yYo0dHRGI3GFnc8RUVFLe6MRPf4xS9+wccff8yGDRsYPHiw3uFclMViYdiwYQBMnjyZ7du386c//YkXXnhB58hays7OpqioiLS0tKZrXq+XDRs28Je//AWXy4XRaNQxwvYJCQlh3LhxHDx4UO9Q2iRjR++ScaNn9YWxo7Pjht/WoFgsFtLS0sjKymp2PSsri4yMDJ2i6ptUVeXnP/8577//PmvWrCE5OVnvkDpFVVVcLpfeYbRqzpw57Nmzh5ycnKbH5MmTufXWW8nJyfH7AaaRy+Vi3759DBw4UO9Q2iRjR++QcaN39IWxo7Pjht/OoAAsWrSI2267jcmTJ5Oens6LL75IXl4eCxYs0Du0NlVVVXHo0KGmr48ePUpOTg6RkZEkJibqGFnb7r//ft5++20++ugj7HZ7051nWFgYQUFBOkfXut/85jfMnTuXhIQEKisrWb58OevWrePzzz/XO7RW2e32FmvzISEhREVF+fWa/UMPPcT1119PYmIiRUVFPPnkkzidTu644w69Q7sgGTt6nowbvSMQx45uGze6vA+ohz377LNqUlKSarFY1EmTJvn9Fra1a9eqQIvHHXfcoXdobWotXkB99dVX9Q6tTXfffXfT+yImJkadM2eOunr1ar3D6hB/3yqoqqo6b948deDAgarZbFbj4+PVG2+8Uc3NzdU7rHaRsaNnybihH38fO7pr3FBUVVW7mi0JIYQQQnQnv61BEUIIIUT/JQmKEEIIIfyOJChCCCGE8DuSoAghhBDC70iCIoQQQgi/IwmKEEIIIfyOJChCCCGE8DuSoAghhBDC70iCIoQQQgi/IwmKEEIIIfyOJChCCCGE8Dv/H+Z0XOPd/33sAAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(2,2)\n", "plt.setp(ax, xlim=STD_X_LIM)\n", "\n", "quant_dist_single_norm.dist.pdf_constructor_name = 'piecewise_linear' # Will emit a logger warning that this constructor is already selected\n", "qp.plotting.plot_native(quant_dist_single_norm, axes=ax[0,0])\n", "qp.plotting.plot_native(single_norm, axes=ax[0,0])\n", "\n", "\n", "quant_dist_single_norm.dist.pdf_constructor_name = 'piecewise_constant'\n", "qp.plotting.plot_native(quant_dist_single_norm, axes=ax[0,1])\n", "qp.plotting.plot_native(single_norm, axes=ax[0,1])\n", "\n", "\n", "quant_dist_single_norm.dist.pdf_constructor_name = 'cdf_spline_derivative'\n", "qp.plotting.plot_native(quant_dist_single_norm, axes=ax[1,0])\n", "qp.plotting.plot_native(single_norm, axes=ax[1,0])\n", "\n", "\n", "quant_dist_single_norm.dist.pdf_constructor_name = 'dual_spline_average'\n", "qp.plotting.plot_native(quant_dist_single_norm, axes=ax[1,1])\n", "qp.plotting.plot_native(single_norm, axes=ax[1,1])\n", "\n", "ax[0,0].set_title('piecewise_linear')\n", "ax[0,1].set_title('piecewise_constant')\n", "ax[1,0].set_title('cdf_spline_derivative')\n", "ax[1,1].set_title('dual_spline_average')" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "### Simple Rayleigh" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/jscora/software/anaconda3/envs/qp/lib/python3.12/site-packages/scipy/stats/_continuous_distns.py:8778: RuntimeWarning: divide by zero encountered in log\n", " return np.log(r) - 0.5 * r * r\n" ] }, { "data": { "text/plain": [ "Text(0.5, 1.0, 'Original simple Rayleigh distribution')" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Same as the single_norm Ensemble created at the beginning of the notebook.\n", "single_rayleigh = qp.Ensemble(qp.stats.rayleigh, data=dict(loc=0, scale=1))\n", "fig, ax = qp.plotting.plot_native(single_rayleigh, xlim=STD_X_LIM)\n", "ax.set_title('Original simple Rayleigh distribution')" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "# Define the quantiles, extract the locations from the original distribution\n", "single_rayleigh_quantiles = np.linspace(0.001, 0.999, 16)\n", "single_rayleigh_locations = single_rayleigh.ppf(single_rayleigh_quantiles)\n", "\n", "# Create a quantile parameterization ensemble\n", "quant_dist_single_rayleigh = qp.quant(quants=single_rayleigh_quantiles, locs=single_rayleigh_locations)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "WARNING:root:Already using interpolator: 'piecewise_linear'.\n" ] }, { "data": { "text/plain": [ "Text(0.5, 1.0, 'dual_spline_average')" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(2,2)\n", "plt.setp(ax, xlim=STD_X_LIM)\n", "\n", "quant_dist_single_rayleigh.dist.pdf_constructor_name = 'piecewise_linear' # Will emit a logger warning that this constructor is already selected\n", "qp.plotting.plot_native(quant_dist_single_rayleigh, axes=ax[0,0])\n", "qp.plotting.plot_native(single_rayleigh, axes=ax[0,0])\n", "\n", "\n", "quant_dist_single_rayleigh.dist.pdf_constructor_name = 'piecewise_constant'\n", "qp.plotting.plot_native(quant_dist_single_rayleigh, axes=ax[0,1])\n", "qp.plotting.plot_native(single_rayleigh, axes=ax[0,1])\n", "\n", "\n", "quant_dist_single_rayleigh.dist.pdf_constructor_name = 'cdf_spline_derivative'\n", "qp.plotting.plot_native(quant_dist_single_rayleigh, axes=ax[1,0])\n", "qp.plotting.plot_native(single_rayleigh, axes=ax[1,0])\n", "\n", "\n", "quant_dist_single_rayleigh.dist.pdf_constructor_name = 'dual_spline_average'\n", "qp.plotting.plot_native(quant_dist_single_rayleigh, axes=ax[1,1])\n", "qp.plotting.plot_native(single_rayleigh, axes=ax[1,1])\n", "\n", "ax[0,0].set_title('piecewise_linear')\n", "ax[0,1].set_title('piecewise_constant')\n", "ax[1,0].set_title('cdf_spline_derivative')\n", "ax[1,1].set_title('dual_spline_average')" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "### Merged Gaussian distributions" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Original merged Gaussian distribution')" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Create a multi-modal distribution where two Gaussian distributions are merged\n", "mu = np.array([1.7, 2.9])\n", "sig = np.array([0.3, 0.4])\n", "wt = np.array([0.4, 0.6])\n", "\n", "merged_norms = qp.Ensemble(qp.mixmod, data=dict(means=mu, stds=sig, weights=wt))\n", "fig, ax = qp.plotting.plot_native(merged_norms, xlim=STD_X_LIM)\n", "ax.set_title('Original merged Gaussian distribution')" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "# Define the quantiles, extract the locations from the original distribution\n", "merged_norm_quantiles = np.linspace(0.001, 0.999, 30)\n", "merged_norm_locations = merged_norms.ppf(merged_norm_quantiles)\n", "\n", "# Create a quantile parameterization Ensemble\n", "quant_dist_merged_norm = qp.quant(quants=merged_norm_quantiles, locs=merged_norm_locations)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "The following plots show how each of the different pdf reconstruction algorithms perform in the case of a merged distribution." ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "WARNING:root:Already using interpolator: 'piecewise_linear'.\n" ] }, { "data": { "text/plain": [ "Text(0.5, 1.0, 'dual_spline_average')" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(2,2)\n", "plt.setp(ax, xlim=STD_X_LIM)\n", "\n", "quant_dist_merged_norm.dist.pdf_constructor_name = 'piecewise_linear' # Will emit a logger warning that this constructor is already selected\n", "qp.plotting.plot_native(quant_dist_merged_norm, axes=ax[0,0])\n", "qp.plotting.plot_native(merged_norms, axes=ax[0,0])\n", "\n", "\n", "quant_dist_merged_norm.dist.pdf_constructor_name = 'piecewise_constant'\n", "qp.plotting.plot_native(quant_dist_merged_norm, axes=ax[0,1])\n", "qp.plotting.plot_native(merged_norms, axes=ax[0,1])\n", "\n", "\n", "quant_dist_merged_norm.dist.pdf_constructor_name = 'cdf_spline_derivative'\n", "qp.plotting.plot_native(quant_dist_merged_norm, axes=ax[1,0])\n", "qp.plotting.plot_native(merged_norms, axes=ax[1,0])\n", "\n", "\n", "quant_dist_merged_norm.dist.pdf_constructor_name = 'dual_spline_average'\n", "qp.plotting.plot_native(quant_dist_merged_norm, axes=ax[1,1])\n", "qp.plotting.plot_native(merged_norms, axes=ax[1,1])\n", "\n", "ax[0,0].set_title('piecewise_linear')\n", "ax[0,1].set_title('piecewise_constant')\n", "ax[1,0].set_title('cdf_spline_derivative')\n", "ax[1,1].set_title('dual_spline_average')" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "### Distinct Gaussian distributions" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Original distinct Gaussian distribution')" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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w6torV67ETTfdhBtvvBFTp07FTTfdhOTkZBQUFOCHH37Al19+6fJ98eT5uPvuu/GXv/wFTz31FIYNG4YjR47g1VdfrVGT1K9fP/zmN79Bjx49kJCQgMzMTLz33nsYMGAAoqKiGvx9v5qvf3Zqc8899+Dll1/GPffcg7/+9a+45ppr8Pnnn+M///lPvfd9/fXXsXnzZtx8881o3bo1ysrKnDMLb7zxRgBAbGws2rRpg/Xr12PkyJFITExE06ZN61xSoS4tWrTALbfcgnnz5iE1NRUrV67Epk2b8NxzzyEqKgoA0LdvX3Tu3BmzZs2CzWZDQkIC1q1bh6+//rrG41133XX4+OOPsWTJEqSnp0On09XaE/f000/jX//6F0aMGIGnnnoKiYmJeP/997FhwwY8//zzNX42KMipXNRN5GLnzp1i4sSJIiUlRRgMBpGcnCxuu+02sWPHjhrnylkpFy9erPW26srKykRGRoZITk4WZrNZ9O/fX+zcuVPEx8e7zOKqbZZZdHR0g66zbNky0blzZ2EymUT79u3FggULxNKlS2vMgmnoStUWi0U89thjNdp99eynq9t94cIFMXXqVHHttdeK6OhoERMTI3r06CFefvlll5lYJ0+eFKNHjxaxsbECgHMGTl2zzK7+nrub5WO328XLL78sunfvLoxGo4iPjxcDBgwQn332Wb3XrktZWZn4xz/+IQYPHiyaNGkiDAaDSExMFEOGDBHPPfecyMvLczm/oc+HxWIRs2fPFmlpaSIyMlIMGzZMHDhwoMb3+YknnhB9+vQRCQkJzsd89NFHRW5urkffd3fPf0PbWtsKzg39mTp79qyYMGGCiImJEbGxsWLChAlix44d9c4y27lzp7j11ltFmzZthMlkEklJSWLYsGHi008/dXn8L7/8UvTq1UuYTCaX2ZCevmbl1/nPf/5TdOvWTRiNRtG2bVvx0ksv1bj/Tz/9JEaPHi3i4uJEs2bNxIwZM8SGDRtqvJYvXbokJk6cKJo0aSIURXG5JtzMjjt48KAYN26ciI+PF0ajUVx//fUu3yMhql57H330kctxd68h0i5FCC9XiyMKATt27MCgQYPw/vvvN2iWDRERhSYGIgobmzZtws6dO5Geno7IyEh8//33+Nvf/ob4+Hj88MMPNWaQERFR+GANEYWNuLg4bNy4EQsXLkRhYSGaNm2KMWPGYMGCBQxDRERhjj1EREREFPY47Z6IiIjCHgMRERERhT3NB6IFCxagb9++iI2NRXJyMsaPH4+jR4/WeZ+tW7dCUZQaHz/++GOAWk1ERETBRPNF1du2bcP06dPRt29f2Gw2zJ07F6NHj8aRI0cQHR1d532PHj3qskhbs2bNGnRNh8OB8+fPIzY21qMl5omIiEg9QggUFhaiRYsWHi+4G3RF1RcvXkRycjK2bdvm3I7halu3bsWIESNw+fJlNGnSxONrnD17tsbuxkRERBQczpw5g1atWnl0H833EF0tPz8fAGrseO5Or169UFZWhq5du+LPf/4zRowY4fY8i8XisimgzIhnzpypd3sEIiIi0oaCggKkpaUhNjbW4/sGVSASQiAjIwODBw9G9+7daz0vNTUVb775JtLT02GxWPDee+9h5MiR2Lp1q9tepQULFmD+/Pk1jsfFxTEQERERBRlvyl2Cashs+vTp2LBhA77++muPu8LGjRsHRVHc7n58dQ+RTJj5+fkMREREREGioKAA8fHxXv391vwsM2nGjBn49NNPsWXLFo/DEAD0798fx44dc3ubyWRy9gaxV4iIiCj8aH7ITAiBGTNmYN26ddi6dSvatWvn1ePs378fqampPm4dERERhQLNB6Lp06dj1apVWL9+PWJjY5GdnQ0AiI+PR2RkJABgzpw5OHfuHFasWAEAWLhwIdq2bYtu3brBarVi5cqVWLt2LdauXava10FERETapflAtGTJEgDA8OHDXY6/8847mDp1KgAgKysLp0+fdt5mtVoxa9YsnDt3DpGRkejWrRs2bNiAsWPHBqrZREREFESCqqg6UBpTlEVERETqCIuiaiIiIiJ/YSAiIiKisMdARERERGGPgYiIiIjCHgMRERERhT0GIiIiIgp7DEREREGo3O6A1eZQuxlEIYOBiIgoyNgdAr9euB2/fmU77A4uJUfkC5pfqZqIiFxl5Zfil4vFzv+3SohSuUVEwY89REREQebs5VK3/yci7zEQEREFmTOXStz+n4i8x0BERBRk2ENE5HsMREREQYaBiMj3GIiIiILM2cslbv9PRN5jICIiCjLsISLyPQYiIqIgYrM7kF1Q5vw8u6AMNjsXaCRqLAYiIqIgkpVfBrtDwKjXwWTQwe4QyMovq/+ORFQnBiIioiByprJmqFVCJFomRLocIyLvMRAREQURWTPUMiHSuUI164iIGo9bdxARBREZflolREFRXI8RkfcYiIiIgsjZakNmVYGIQ2ZEjcVAREQURKp6iCKhVCYi9hARNR4DERFREDlbuXdZWmIUlKuOEZH3GIiIiIKE1Va1BlGrhEgolZEou6AMVpsDRgPnyRB5i68eIqIgkZ1fBocATAYdmsWY0DTGCJNBB4eouI2IvMdAREQUJGTxdMvK+iFFUdCqci0iFlYTNQ4DERFRkKg+5V7iWkREvsFAREQUJKpPuZfYQ0TkGwxERERB4kxlL1BatR6itMQol9uIyDsMREREQYI9RET+w0BERBQkqi/KKLGGiMg3GIiIiIKA6xpE1YuqK8KRXIuIiLzDQEREFASy8kshKtcgahpjdB5PijbCHKGDEBXnEJF3GIiIiIKAuz3MAFSuRcRhM6LGYiAiIgoCZy7JguqoGrfJYbMz3NOMyGsMREREQUD2/qQlRta4LY09RESNxkBERBQEqqbc195DxKn3RN5jICIiCgLuptxLrCEiajwGIiKiIOBuHzOpqoeIgYjIWwxEREQaZ7HZcaFQrkHkroeo4tiFwjJYbPaAto0oVDAQERFp3PkrZRACiIzQIynaWOP2xGgjIiP0EKLiXCLyHAMREZHGVd/DrPoaRJKiKM7ZZyysJvIOAxERkcbVVVAtsbCaqHEYiIiINK6uKfcSp94TNQ4DERGRxjWsh4gzzYgag4GIiEjj6ppyL3HIjKhxGIiIiDSuah+z+nuIuJ8ZkXcYiIiINMzuEMgptAAAWjSpPRDJ23IKLbDZHQFpG1EoYSAiItKwIovN+f+4SEOt58Waq24rtnJxRiJPMRAREWmYDERGvQ4mg77W80wGPYwGnct9iKjhGIiIiDSsuDLcxJhr7x2SYkwGl/sQUcMxEBERaVhhWUW4iTbV3jskyUAk70NEDcdARESkYXL4K8YUUe+5MhBxyIzIcwxEREQaJoe/Yk0NGDIzc8iMyFsMREREGlbkxZBZEYfMiDzGQEREpGGFzqLqhg+ZFbKHiMhjDERERBrmnGXmwZAZe4iIPMdARESkYVVF1Q0fMiu2MhAReYqBiIhIw+QUek9mmXHaPZHnNB+IFixYgL59+yI2NhbJyckYP348jh49Wu/9tm3bhvT0dJjNZrRv3x6vv/56AFpLRORbRV4szMhp90Se03wg2rZtG6ZPn45du3Zh06ZNsNlsGD16NIqLi2u9z4kTJzB27FgMGTIE+/fvx5NPPolHHnkEa9euDWDLiYgaz6Np91ypmshr9b/CVPbFF1+4fP7OO+8gOTkZe/fuxdChQ93e5/XXX0fr1q2xcOFCAECXLl2wZ88evPDCC5gwYYK/m0xE5DNV0+5ZVE3kT5rvIbpafn4+ACAxMbHWc3bu3InRo0e7HLvpppuwZ88elJeX1zjfYrGgoKDA5YOISAsKvRgy47R7Is8FVSASQiAjIwODBw9G9+7daz0vOzsbKSkpLsdSUlJgs9mQm5tb4/wFCxYgPj7e+ZGWlubzthMRecOTaffRHDIj8lpQBaKHH34YP/zwAz744IN6z1UUxeVzIYTb4wAwZ84c5OfnOz/OnDnjmwYTETVSkQeBKNbMomoib2m+hkiaMWMGPv30U2zfvh2tWrWq89zmzZsjOzvb5VhOTg4MBgOSkpJqnG8ymWAymXzaXiIiX5D1QB7NMmMNEZHHNN9DJITAww8/jI8//hibN29Gu3bt6r3PgAEDsGnTJpdjGzduRJ8+fRARUf9aHkREWmCx2WG1OwB4tlK11e6AxWb3a9uIQo3mA9H06dOxcuVKrFq1CrGxscjOzkZ2djZKS0ud58yZMwf33HOP8/Np06bh1KlTyMjIQGZmJpYtW4alS5di1qxZanwJREReKbZUhZpoY/0rVUcbq0JT9fsSUf00H4iWLFmC/Px8DB8+HKmpqc6PNWvWOM/JysrC6dOnnZ+3a9cOn3/+ObZu3YqePXvif//3f7Fo0SJOuSeioCKHviIj9DDo6/91rdcpiKoMThw2I/KM5muIZDF0XZYvX17j2LBhw7Bv3z4/tIiIKDA8WaVaijEZUGK1o9BSc4kRIqqd5nuIiIjCVZEHq1RLVatVc8iMyBMMREREGlVU2cvTkFWqJedq1ewhIvIIAxERkUZV7XTveQ8Rd7wn8gwDERGRRslhL09qiKK54z2RVxiIiIg0Sg57edJDFMvtO4i8wkBERKRRRd4MmXHHeyKvMBAREWlUUSOGzLjjPZFnGIiIiDTKmyGzGA6ZEXmFgYiISKM82ele4o73RN5hICIi0ijnkBmn3RP5HQMREZFGFZVVDpl5UUPEITMizzAQERFplFdDZlyHiMgrDERERBpV7M2QGafdE3mFgYiISKMKGzFkxmn3RJ5hICIi0iAhRKOGzIotNggh/NI2olDEQEREpEGl5XY4KvOMN0NmDlHxGETUMAxEREQaJHuHFAWIMuobfL/ICD10SuVjsI6IqMEYiIiINMi5j5nRAEVRGnw/RVG44z2RFxiIiIg0yFk/5EFBtcSp90SeYyAiItIgbwqqJWcPEYfMiBqMgYiISIOcQ2Ze9BDFcD8zIo8xEBERaVBjeohiOGRG5DEGIiIiDSpuRCDijvdEnmMgIiLSoMLG1BAZueM9kacYiIiINEjWEEV7M2Rm5o73RJ5iICIi0iAZZmI57Z4oIBiIiIg0qFFDZpx2T+QxBiIiIg3itHuiwGIgIiLSoGIrp90TBRIDERGRBjl7iBiIiAKCgYiISIMaU0PEQETkOQYiIiIN8sW0exZVEzUcAxERkQY1Zto9e4iIPMdARESkMXaHQLHVDqBxQ2YlVjvsDuHTthGFKgYiIiKNkTPMgMYNmV39WERUOwYiIiKNkcNlEXoFJoPnv6ZNBj0i9AoA1hERNRQDERGRxlSfcq8oilePwToiIs8wEBERaYxzyr0XBdUSV6sm8gwDERGRxsghs2hjIwKRKQIAh8yIGoqBiIhIY2SI8WbKvRRj0lc8FnuIiBqEgYiISGMas0q1xBoiIs8wEBERaYxzyKwxgcjMITMiTzAQERFpDIfMiAKPgYiISGOKOGRGFHAMREREGlPoiyEzOcuMgYioQRiIiIg0ptgHPUTRcsiMNUREDcJARESkMb6oIYrlwoxEHmEgIiLSmKpp9xFePwaHzIg8w0BEmmd3CAgh1G4GUcBUTbvXe/0YHDIj8gwDEWnat8fz0HHu53jnm5NqN4UoYGSvDofMiAKHgYg07d+HsiEEsOFgltpNIQqYqt3uGz9kVsxARNQgDESkaUfOFwAAMrMK4HBw2IzCQ5EPhszkbveFDEREDcJARJrlcAgcyaoIRCVWO05dKlG5RUT+Z7U5YLE5AACxjekhMhqqPZ7dJ20jCmUMRKRZZy6XuNQ/HD6fr2JriAKj+hCXL4qqKx6TgYioPgxEpFlyuKy2z4lCkXwTYI7QwaD3/le0Qa9DZERFKGIdEVH9GIhIs+Rwmcmgc/mcKJQV+WANIklu/VHIqfdE9WIgIs2SPUJjujd3+ZwolPliyr3EqfdEDcdARJp1uDIA3da7FRQFyCm04GKhReVWEflX1ZT7xgci+RgcMiOqHwMRaVJekQXZBWUAgN5tEtCuaTQADptR6PPFlHtJPgan3hPVT/OBaPv27Rg3bhxatGgBRVHwySef1Hn+1q1boShKjY8ff/wxMA0mn8jMKgQAtE2KQozJgK6pcQA4bEahz5c1RM79zFhDRFQvzQei4uJiXH/99Xj11Vc9ut/Ro0eRlZXl/Ljmmmv81ELyhyNZFVPsu7aIc/mXPUQU6nyx070kH4NDZkT1a/wrzs/GjBmDMWPGeHy/5ORkNGnSxPcNooCQ9UPdWsS7/Mu1iCjUcciMSB2a7yHyVq9evZCamoqRI0diy5YtdZ5rsVhQUFDg8kHqkkNjcqhM/nsitxglVv5yp9DFITMidYRcIEpNTcWbb76JtWvX4uOPP0bnzp0xcuRIbN++vdb7LFiwAPHx8c6PtLS0ALaYrlZWbscvF4sAVA2VNYs1oVmsCUIAP2YXqtk8Ir/yx5BZkaW80Y9FFOo0P2Tmqc6dO6Nz587OzwcMGIAzZ87ghRdewNChQ93eZ86cOcjIyHB+XlBQwFCkoqPZhXAIICnaiORYk/N419Q4bCu8iCPnC9C7dYKKLSTyn6LKHtBoY+OHzKqm3XPrDqL6hFwPkTv9+/fHsWPHar3dZDIhLi7O5YPUI+uHuraIg6IozuOyt+gwZ5pRCHOuQ2T24UrVrCEiqldYBKL9+/cjNTVV7WZQA109w0zqxplmFAaqaoh8tzBjURmHzIjqo/khs6KiIvz888/Oz0+cOIEDBw4gMTERrVu3xpw5c3Du3DmsWLECALBw4UK0bdsW3bp1g9VqxcqVK7F27VqsXbtWrS+BPHR1QbUkP/8xqwA2u6NRG18SaVWxH7bu4JAZUf00H4j27NmDESNGOD+XtT5TpkzB8uXLkZWVhdOnTztvt1qtmDVrFs6dO4fIyEh069YNGzZswNixYwPedvKc3SGcRdPdruohapMUjSijHiVWO07mFaNjcqwaTSTyK7kRa7QPeojkY3AvM6L6aT4QDR8+HEKIWm9fvny5y+ezZ8/G7Nmz/dwq8peTecUosdphjtChXdMYl9v0OgXXNo/FvtNXcPh8AQMRhSR/DJkVcsiMqF4ccyBNkcNl1zaPg16n1LhdLtDILTwoFAkhnENmPq0hstjqfGNJRAxEpDGyYPrqgmqJW3hQKLPYHLA5KoJLjA9qiORjOARQVu5o9OMRhTIGItKU2gqqpeqbvPIdL4Wa6rU+URGNX4eo+mOwjoiobgxEpCnV1yByp3PzWOh1CvKKrbhQYAlk04j8zrkGkckAnZshY0/pdIrLsBkR1Y6BiDQjp7AMuUUW6BSgS3P3gcgcoUeHZtEAqtYrIgoVvtzYVZKPxR3vierGQESaIYfL2jWNRmQd2xZUHzYjCiVVgch3E4Cdq1Vzg1eiOjEQkWaczC0GAFxTz3T6a1Iqbj9eeT5RqHAuyujDQBTr3M+MgYioLgxEpBmXSirWSmkaa6zzvKYxFbdfLrb6vU1EgeTPHqJiKwMRUV0YiEgzLhVXFEknRpvqPE/efomBiEKMLxdllGI4ZEbUIAxEpBmXiyt6iBKj6t7lOzG64vZLJQxEFFp8uSijFMMhM6IGYSAizciTPUQxDewhKmIgotBS5MN9zCS5OCOn3RPVjYGINKOqh6juGiJ5e7HVjrJy7uJNoaOocld6X6xSLXGDV6KGYSAizcirrAlKjK47EMVFGpz7nF3msBmFEA6ZEamHgYg0weEQznBTXyBSFAUJlb1EeRw2oxDiz6Jq9hAR1Y2BiDShsMwGe+WmlgnRdRdVA0BSZWhiDxGFEn9Ou5fDcUTkHgMRaYIsqI4xGWAy1L9tgexF4tR7CiVVPUS+27rD2UNUVu6zxyQKRQxEpAkNHS6TGIgoFFXVENXfS9pQVTVE7CEiqgsDEWmCrAVKYCCiMObPzV1ZQ0RUNwYi0gTZQ5TUwECUwEBEIUiGllgfTruP5TpERA3is1edEAK5ubm4ePEiSktL0bRpUzRr1gxRUVG+ugSFsIZOuZeSGIgoxAghnENmftnLzGKDEAKKovjssYlCSaNedceOHcOaNWuwfft27Ny5EyUlJTXOueaaazBkyBCMHj0a48ePR0SE78bGKXRc9jAQsYeIQo3F5kC5vWKmpU9Xqq58LJtDwGJzwBzhu+E4olDi1avuo48+wquvvoqvv/4aQMU7GwDQ6XSIj49HZGQkLl26hLKyMvz000/46aefsGzZMiQmJuKee+5BRkYGWrZs6buvgoIee4go3FVfODHa6MMeomqPVWSxMRAR1cKjGqL//ve/6Nu3LyZPnoyvvvoKPXr0wJNPPon169fj/PnzKC8vR15eHs6ePYuSkhKUlpZiz549WLx4Me644w5YrVa8/PLL6NSpE+bMmYP8/Hx/fV0UZJw9RPVs2yHJhRm5DhGFClnjE2XUO1di9wWdTkGUsSIEcbVqotp59DZk1KhRiI+Px+OPP44pU6agc+fOdZ5vMpnQu3dv9O7dG9OmTYPFYsFnn32Gf/zjH3juuecQGRmJp556qlFfAIWGS572EMXIQFQOh0NA58M/IERq8Mcq1VKMyYASqx2FZQxERLXx6JU3f/58PPLII4iPj/fqYiaTCRMnTsTEiRPx1Vdf4cqVK149DoUeOWTW0Gn3TaIqatHsDoH80vIG349Iq+Q6Qf4KRDmFFvYQEdXBo1feX/7yF59deMiQIT57LAp+csisodPuTQY9Yk0GFFpsuFRiZSCioFdkqVhJ2pcF1VIMp94T1YvrEJHqysrtKLZWvDv2JNgkxrCwmkJHkR97iGRhNQMRUe0aHYieeeYZPPPMMzh27Fi95y5fvhzPPPNMYy9JIUYWRht0CuI8WJBOFlYzEFEoKCrz/RpEUjS37yCqV6MD0bx58zB//nz069cPGzdurPPcpUuXYv78+Y29JIWY6tt2eLJoHKfeUygp9sMq1VLVatXc4JWoNj4ZMjObzbhy5QpuvvlmvPjii754SAojnm7bIXFxRgol/tjHTKraz4w9RES18UkgSk9Px6pVqxAREYHZs2fj7rvvhsVi8cVDUxiQgSahgWsQSewholBS5IdtO6QYU8WszCJOuyeqlc+KqidPnoyvv/4aLVu2xKpVqzB06FCcP3/eVw9PIcy5BlGMdz1ElxmIKAQ4h8z8Eoi4MCNRfXw6y6x3797Yu3cvBg0ahN27d6Nv377YtWuXLy9BIeiSh6tUS3IRxzwGIgoBhX7sIZKPWWRlICKqjc+n3Tdr1gybN2/GAw88gKysLIwYMQLLli3z9WUohHi6SrWUyO07KIQU+3mlaoBDZkR18f0rD4DBYMDrr7+O66+/HjNnzsT999+PAwcOwGbji5FqkoEoycMhMznEJmepEQWzQAQiDpkR1c4vgUj6wx/+gO7du2PixIl47bXX/HkpCmJ5LKomcu4zxpWqidTh95WqhwwZgt27d+P666+HEMLfl6Mg5Om2HZIsqi4tt6PUyunEFNyKK+t7YvywDpGzhoiBiKhWjX7lORyOes9p3bo1duzYgW+//baxl6MQdMnDjV2lWJMBEXoF5XaBSyVWtDRG+qN5RAEh63v8MWQWyyEzonr5dcisOrPZjGHDhgXqchQkHA7h9cKMiqIgIcqInEILLhdb0bIJAxEFL3/uds8eIqL6cXNXUlV+aTkclSOpTTysIQI49Z5Cg8Vmh9Ve0dvuz2n35XYBi43Dy0TueBSIxo4d65Nhr+LiYvztb3/D4sWLG/1YFNwuVfYOxZoNMBo8z+eJXJyRQkD1TVejjb7fuqN6rxOn3hO559FfoK+++goDBw7EjTfeiPfeew+FhYUeXWz//v2YNWsW2rRpg7lz53J7D/J6DSKJPUQUCmRtT2SEHga97zvu9ToFkRFytWr2EBG541Hf7PHjxzFv3jy8/fbb2LJlC0wmEwYPHoxf/epXSE9PR2pqKhITE2EymXDlyhVcunQJmZmZ2LNnD77++mv88ssvEEKgS5cuWLZsGW655RZ/fV0UJHwViNhDRMHMn1PupRizAaXldtYREdXCo1dfs2bN8Nprr2HWrFl4/fXX8e677+LLL7/El19+CUVRar2fEAKKouCGG27AAw88gAkTJkCnY/kSeb9th8QeIgoFcsp9rB+m3EsxJgMuFloYiIhq4dWrr127dnjuuefw17/+FVu2bMH27duxY8cOnDp1Crm5uSgrK0NiYiKSk5PRs2dPDB48GKNGjUKbNm183X4KcuwhIqqq64k2+b5+SIrmBq9EdWrU2xGDwYBRo0Zh1KhRvmoPhRlfBSKuVk3BTPbaRBv920MEVG0iS0SuOG5FqvJdUTUL9Cl4yV4bfw+ZVb8WEbliICJVebtKteQcMisp91mbiALN2UPkz6JqBiKiOvns1WexWLB69Wr85z//wU8//YTCwkLExsaiU6dOGD16NCZPngyz2eyry1GIuOTlPmZSVSCywu4Q0OtqL+4n0qpABCL52IVch4jILZ+8+nbs2IG77roLp06dqrGB6759+7BmzRrMnz8fK1euxKBBg3xxSQoRjR0yS6icnSZExarX3j4OkZpkUXUse4iIVNPoV9/hw4cxatQolJaWonnz5rjvvvvQpUsXpKSkICcnB5mZmVi6dClOnTqF0aNH49tvv0X37t190XYKAY0NRBF6HeLMBhSU2XCp2MJAREFJTrsPxJAZp90TudfoV9+f//xnlJaW4q677sLSpUsRERHh9pz77rsP7733Hp566il8/PHHjb0shYBSqx2l5RWr5jYmyCRGGysDEeuIKDgV+XFjV4kbvBLVrdFF1du3b0dcXBzefPNNt2EIACIiIvDGG28gLi4OW7dubewlKUTIfcwi9Eqj/hBUTb3nTDMKTkVlFWHen4EoxswhM6K6NDoQWa1WdO7cud6CabPZjM6dO6O8nO/iqcLlasNlda10Xp+qQMSfLQpOcn8xDpkRqafRgahLly44e/Zsg849c+YMunXr1thLUoiQ220keLlth8QeIgp2crHEGD+uQ1Q1ZMbNXYncaXQgmjlzJrKysvDKK6/Ued6iRYuQnZ2NmTNnNvaSFCJkD1FSTOMCUQJ7iCjIyWGsGD9u3VHVQ8TXCZE7jX47cuedd+LcuXN4/PHHsW3bNjz00EPo0qULkpOTcfHiRWRmZmLx4sXYsGEDnn/+eUyePNkX7aYQ4KseoiT2EFGQK3IGIvd1mL5QNe2ePURE7jQ6EOn1Ve9o1q9fj/Xr19d67uOPP47HH3+8xnFFUWCzcVw73MgA4+2ijFJitAkAd7yn4FW1MKMfe4jMrCEiqkujA9HVCzGq9RgUfOQQl7fbdkiJ0RXvqi+XMBBR8LHaHLDaHAD8PMuscuNYeT2jgTs3EVXX6FeEw+HwyUdttm/fjnHjxqFFixZQFAWffPJJvW3atm0b0tPTYTab0b59e7z++uuN/TLJD3zdQ3SpiIGIgk/1afD+3bqjqveJU++JatL8W4Ti4mJcf/31ePXVVxt0/okTJzB27FgMGTIE+/fvx5NPPolHHnkEa9eu9XNLyVOXfdVDVFmDdIk9RBSE5BCWyaBDhN5/v5INeh3METqXaxJRFf+9HfGRMWPGYMyYMQ0+//XXX0fr1q2xcOFCABXLAuzZswcvvPACJkyY4KdWkjfyKnuIGrvdRmLlLLWycgdKrDZEGTX/Y03kJMNJrB+n3EsxJgPKyq0MRERuaL6HyFM7d+7E6NGjXY7ddNNN2LNnDxeF1JjLJRXPR2MDUbRRD2PlO+tLLKymIFMcgJ3uJW7wSlS7kAtE2dnZSElJcTmWkpICm82G3Nxct/exWCwoKChw+SD/sjuEswi6sYFIUZRqizMyEFFwcc4wC0DPpgxdhQxERDWEXCACUGMbCDmLrbbtIRYsWID4+HjnR1pamt/bGO7yS8shJxc2dh0ioPrijAxEFFyKArBKtcQeIqLahVwgat68ObKzs12O5eTkwGAwICkpye195syZg/z8fOfHmTNnAtHUsCZnmMWZDT4pJE1iIKIgVbVKdeACUVEZAxHR1UKu+nTAgAH47LPPXI5t3LgRffr0QUSE+1VgTSYTTCZTIJpHleQaREkxvvm+c8iMglVhWeACUTQ3eCWqleZ7iIqKinDgwAEcOHAAQMW0+gMHDuD06dMAKnp37rnnHuf506ZNw6lTp5CRkYHMzEwsW7YMS5cuxaxZs9RoPtVC9hAlRPlmqwIGIgpWgdjpXpLDcty+g6gmzfcQ7dmzByNGjHB+npGRAQCYMmUKli9fjqysLGc4AoB27drh888/x6OPPorXXnsNLVq0wKJFizjlXmNkD1FjC6ol+ThcrZqCTbHV/xu7Stzglah2mg9Ew4cPr3Nrj+XLl9c4NmzYMOzbt8+PraLG8tUMM4lF1RSsqobM/Lexq1QViNhDRHQ1zQ+ZUWiSwaWxq1RLcrVqufo1UbAoDsDGrhJriIhqx0BEqrhcGYgSfTDlHgASKjd45fYdFGwCu1J1RejitHuimhiISBUyuPish0jWEHHIjIJMUUBXqo5wuSYRVWEgIlVc8nEPkXPIrMQKh6P2mjMirZFrAgUiEMlhOa5DRFQTAxGpwtc1RE0qA5FDVKyCTRQs5Cyz2AAEIjksJ69JRFUYiEgVcmgryUeByGjQOf+gsI6IgkkgN3eN5krVRLViIKKAKyu3o9haMe3XVz1EAJAYwzoiCj4BXanayFlmRLVhIKKAu1JSMaSl1ymI8+HMGrlJLNciomBRbnfAYnMACEwgkkNmFpsD5XaH369HFEwYiCjgnPVDUUYoiuKzx+Vq1RRsqk9/D+SQ2dXXJiIGIlJB1SrVvl2Zt6qHiEXVFBzk0JXRoIPR4P9fxxF6HUyV1+GwGZErBiIKuOo9RL4kAxZ7iChYyE1WAzFcJsVwtWoitxiIKOB8vY+ZxP3MKNjITVYDGYjksBmHzIhcMRBRwOUV+XYNIimRRdUUZOQmq4GoH5K4wSuRewxEFHCyh8hXaxBJ7CGiYFPknHLv/41dpRiuRUTkFgMRBZz/aog4y4yCixy2CmgNkZlDZkTuMBBRwPmrhiiRPUQUZAK5saskr1XIQETkgoGIAk5Oi/dXDVFhmY2LzlFQkIEo1ocLlNZHDs+xh4jIFQMRBdxlH+90L8VFRkBXuc4jh80oGDj3MTMGvqiagYjIFQMRBZQQwrn5aoKPF2bU6xTnrveXuTgjBYFCDpkRaQYDEQVUidUOa+XeTb6uIQKAhKiKkMU6IgoGxaoMmbGHiMgdBiIKKBlUTAYdIiN8P9WYM80omMip76qsQ8Rp90QuGIgooKqvQeTLjV0l7nhPwaRIxWn33LqDyBUDEQVUXrF/VqmWOPWegkmxNfCByLl1h5WBiKg6BiIKKOcMMz8FIq5WTcGEQ2ZE2sFARAHlr1WqJTmVnzVEFAyq9jJTYesODpkRuWAgooDy1yrVEofMKFgIIZBfWvFz2sRPbxDciY+smImZX1oOIUTArkukdQxEFFDOVar91UPEWWYUJIosNpTbKwKJrxcprYt87ZXbBXuJiKphIKKAqqoh8u2ijJKsIeLCjKR18mfUHKFDpDFwQ2aRRr1zyQu+ToiqMBBRQFWtUu3fGiIOmZHWyddCIHuHJOfQMntSiZwYiCig/LWPmSS3Ayktt6PUavfLNYh84bKfl6Coi3ydXOYbByInBiIKKGdRdYx//gjEmAyI0Csu1yLSokt+XoKiLlzAlKgmBiIKGIdD4HJJRc2Cv3qIFEXhL3sKCjKw+2uCQV04+YCoJgYiCpiCsnLYHRWzavw5zZhT7ykYsIeISFsYiChg5C/fWJMBRoP/fvQSuDgjBQH2EBFpCwMRBcxlP88wk2R9Et/9kpZd8vMSFHXhFjdENTEQUcA4F2X0dyCSPUT8ZU8adjlArwd3ql4jXIeISGIgooCpmnLv33fECVxjhYKAmusQyWn3fI0QVWEgooDx96KMkgxcfPdLWqbmOkTOGiL2ohI5MRBRwMhfvkl+/gPA+gjSOodD4Epp5RIUag6ZlVjhcHCDVyKAgYgC6FKA3hFzBg1pXWGZrdoSFIEvqpbLXjhExXIYRMRARAF0OUA1E1xjhbRODh/HmAwwGQK3satkNOgQazJUtIWvEyIADEQUQHkq9BAJweEA0p6q3tLA9w5JCexJJXLBQEQBczlAK/PKxy+3CxRabH69FpE3/L3JcUNU1dpxyIwIYCCiAHK+K/bzHwFzhB5RxophCM6iIS0K1IzLulTNxuRrhAhgIKIAKbc7UFBW0VsTiFk1rCMiLdNSDxGHzIgqMBBRQFyp3OVeUYD4SP/XTXCmGWmZNnqIuIApUXUMRBQQ1Tey1OsUv1+P9RGkZYGqp6tLAhdnJHLBQEQBUVU/FJhZNayPIC1z7uun4pBZIt80ELlgIKKACPQ7Yu5nRlpW1WOq4rR7+aaBrxEiAAxEFCCXSgIzw0zijvekZWruYyYl8DVC5IKBiAJCtR4i/rInDXLudK9mUTV7UYlcMBBRQARqlWopkYGINMpmdyC/VP0aIvlazC8th83uUK0dRFrBQEQBEeh1VxI4pZg0Kr+0HHJHGTU2dpWaVC5/IQScAY0onDEQUUBcqlyHKFA9REkxrI8gbZJFzHFmAyL06v0KNuh1zjXBWFhNxEBEASKDSVKgaogqe4iulJbD7uAGr6Qdcpq7mvVDEqfeE1VhIKKAuBTgGiI5FMHhANKaQL8W6iKn3rPWjoiBiAJEdskHqoYoQq9DnNkAgL/sSVsC/VqoC7e4IarCQER+V1ZuR4nVDgBIiA5cESl/2ZMWaauHiLMxiSQGIvI7GUgi9ApiTIaAXZdrEZEWXdHAGkRSIvczI3IKikC0ePFitGvXDmazGenp6fjqq69qPXfr1q1QFKXGx48//hjAFlN1VfuYGaEo/t/YVeJq1aRFWtjHTOIWN0RVNB+I1qxZg5kzZ2Lu3LnYv38/hgwZgjFjxuD06dN13u/o0aPIyspyflxzzTUBajFd7ZJKO3vLX/Z5DESkIc4aogAOH9eGbxqIqmg+EL300ku49957cd9996FLly5YuHAh0tLSsGTJkjrvl5ycjObNmzs/9Hp9gFpMV7tYaAFQtTZQoMjryesTaUH1HlO1VfUQcSYmkaYDkdVqxd69ezF69GiX46NHj8aOHTvqvG+vXr2QmpqKkSNHYsuWLf5sJtXj/JVSAECL+MiAXrdlk0iX6xNpwWVN1RBVLszIHiIiBK7C1Qu5ubmw2+1ISUlxOZ6SkoLs7Gy390lNTcWbb76J9PR0WCwWvPfeexg5ciS2bt2KoUOHur2PxWKBxVLVi1BQUOC7L4JwPr8MANCiSWADkQxgWZXXJ9ICLc4yYyAi0nggkq4uxBVC1Fqc27lzZ3Tu3Nn5+YABA3DmzBm88MILtQaiBQsWYP78+b5rMLmQPTQtAx2I2ENEGlNud6CwzAZAW+sQFVpssNocMBo0PWhA5Fea/ulv2rQp9Hp9jd6gnJycGr1Gdenfvz+OHTtW6+1z5sxBfn6+8+PMmTNet5lqcg6ZBTgQyQCWV2xFWbk9oNcmckcOl+kUIC5S/aLqOHMEdJXvLa9wphmFOU0HIqPRiPT0dGzatMnl+KZNmzBw4MAGP87+/fuRmppa6+0mkwlxcXEuH+QbQgicuywDkTmg146LNCDaWFFMz14i0oLLlVPum0QZodcFbgmK2uh0StXijAxEFOY0P2SWkZGBu+++G3369MGAAQPw5ptv4vTp05g2bRqAit6dc+fOYcWKFQCAhQsXom3btujWrRusVitWrlyJtWvXYu3atWp+GWGroMyG4spVqgPdQ6QoClo0icSxnCKcv1KG9s1iAnp9oqtVzTBTv3dISog2Iq/YygVMKexpPhBNmjQJeXl5eOaZZ5CVlYXu3bvj888/R5s2bQAAWVlZLmsSWa1WzJo1C+fOnUNkZCS6deuGDRs2YOzYsWp9CWFN9swkRRthjgj80gdVgYg9RKQ+Lc0wk6rWIuLUewpvmg9EAPDQQw/hoYcecnvb8uXLXT6fPXs2Zs+eHYBWUUOoVT8kyeueYyAiDdDSGkSS3F+QQ2YU7jRdQ0TBryoQBbZ+SGpZeV32EJEWXFZp1fa6cD8zogoMRORX566oswaR5Jx6n89AROqTvTBaWINI4o73RBUYiMiv1FqDSKpai4iLM5L6nD1EGhoyc/YQcciMwhwDEfmV2jVELavVEAkhVGkDkST3DGMPEZH2MBCRX6kdiFLizFAUwGpzcNd7Ul1VDZF2pt3LHqIr3OCVwhwDEfmNze5AdoGsIVKnqNpo0CE51gSAhdWkPtkL00RDQ2ZNKtdEYg8RhTsGIvKbC4UWOAQQoVfQNNqkWjtS47mnGWmDcx0iDQUi1hARVWAgIr+RASQ1PhI6FbcpqKojYmE1qaes3I6SylXbNVVDVNmWEqude/5RWGMgIr9Rew0iSV4/iz1EpCLZA6PXKYgza2dN3FiTAYbKNyzsJaJwxkBEfnNO5YJqiWsRkRbIrTESooxQFPU3dpUURXH2ErGOiMIZAxH5jdprEEktOGRGGlC1j5l2ZphJ3M+MiIGI/Oi8yqtUSy2bsKia1KfFfcwk7mdGxEBEfqT2GkSSvP7FQgssNhaNkjq0uNO9xP3MiBiIyI/OOYfM1C2qToiKgDmi4kc9O5/DZqQOZw+RBgMRV6smYiAiPykoK0dhmQ1A1TpAalEUpVodEYfNSB1a3MdM4lpERAxE5CdZlfVDTaIiEG1Sf4pxS27ySirT4j5mEnuIiBiIyE+c9UMq9w5JLbhaNalMi/uYSewhImIgIj/RyhpEUgvONCOVaXuWmewh4rR7Cl8MROQXWfnaKKiW5GrVrCEiteQUWgAASSru61ebpMpAdLGQQ8oUvhiIyC+0sgaRxLWISE35JeXILaoIRG2bRqncmpraNo0GAOQWWXGFw2YUphiIyC+0O2RWBiGEyq2hcPPzxUIAQGq8GbFm7dUQxZgMaBFf0Yv6c06Ryq0hUgcDEfmFVjZ2lZpX/rIvLbfjSgnrJCiwZMjomByjcktq16GybQxEFK4YiMjn7A7hXABRKz1E5gg9msZU1EmwjogC7dgF7QeijgxEFOYYiMjnLhZaYHMI6HUKkmO10UMEcKYZqefni9oPRNckxwIAjjEQUZhiICKfkz0wzePM0OsUlVtTRa5FlMXtOyjAnENmzbQbiNhDROGOgYh87rxzDzNtDJdJ7CEiNZRYbTh7ueJn7pqUWJVbUzsZiM5dKUWJ1aZya4gCj4GIfE5rBdUS1yIiNRy/WAygYjVoLe50LyVGG53rEf2SU6xya4gCj4GIfO68xqbcS1yLiNQQDMNlknOmWeUyAUThhIGIfO6cxhZllFpwg1dSwbGcinDRMUX7gYh1RBTOGIjI57ReQ3ShsAzldofKraFwEUw9RNdUBiK5TABROGEgIp87n6/NIbOkaCOMBh2EgHOdJCJ/k4HommDqIbrIQEThh4GIfKrYYnOuBK21omqdTnFuT8A6IgoEq82Bk3klALS9BpEk23gqrwRWG3tRKbwwEJFPyV3uY80GTe7Z5KwjymcgIv87lVcMu0MgxmRA8zhtvUFwp3mcGTEmA+wOgZN5nGlG4YWBiHzqVOW7Ya3VD0kyEJ3MLVG5JRQO5KrPHZJjoCjaWaS0NoqicE8zClsMRORTe05dBgD0aBWvckvcu76yXftOX1a5JRQOgqmgWpJtZSCicMNARD713YlLAIBftUtSuSXuyXbtPXWZM83I74Jhl/uryeJv7mlG4YaBiHym1GrHD2evAAD6tUtUtzG1uCY5Bk2iIlBitePw+QK1m0MhToaKa4IoELGHiMIVAxH5zP4zl1FuF0iNN6NVgjZriHQ6BX3bVoS1b4/nqdwaCmV2h8DxINjl/mqyrccvFsHuECq3hihwGIjIZ6qGyxI1XUAqe69ke4n84dzlUlhsDhgNOqQlRqndnAZLS4yC0aCDxebA2cucfEDhg4GIfKZ6INIy2b7vTl7iO2DyG7llR/um0dDrtPsG4Wp6nYL2TaMBcNiMwgsDEfmE1eZwztzSav2Q1DU1DtFGPQrLbDiazU0syT+CsaBa4p5mFI4YiMgnDp7LR1m5A4nRRnTQ+BRjg16H9LZy2Ix1ROQfzi07kmNVbonnZJs504zCCQMR+YRzuKyttuuHpH7Vhs2I/OEYe4iIggoDEfmE7GnRev2Q9KtqhdVCsI6IfEsIgV9CIBD9klPE1weFDQYiajS7Q2DPyYr6oWAJRD1axcNo0CG3yIrjudyziXzrQoEFhRYb9DoFbZsGzwwzqW3TKOh1CgotNlwosKjdHKKAYCCiRsvMKkChxYZYkwFdUuPUbk6DmAx69EprAoDT78n35FBTm8QomAx6lVvjOZNBjzaVSwVw2IzCBQMRNZoMFH3aJgTV9GKuR0T+8nPllPsOQThcJlVt8sqZmBQeGIio0WSg6Bskw2WS3NeMgYh8LRi37LiabDtnmlG4YCCiRhFCOGdqaX39oav1btMEBp2Cc1dKuSIv+VQwzzCTOjIQUZhhIKJG+eViES4VW2Ey6HBdyyZqN8cjUUYDureMB8BeIvKdc1dKsfdUxSSDHq3iVW6N93q0agIA2HvqMs5dKVW3MUQBwEBEjfJtZZDo3ToBRkPw/Tixjoh8bfk3J2B3CAxon4SOQbgoo9QxOQYD2ifB7hBY/s0JtZtD5HfB9xeMNCVY9i+rza8YiMiHCsvKsfq7MwCA+4e2U7k1jSe/htXfnUFhWbnKrSHyLwYi8poQAt8eD876IalPm0QoCnA8txg5hWVqN4eC3JrdZ1BosaFjcgyGd0pWuzmNNrxTMjomx6DQYsOa3WfUbg6RXzEQkdd+uViM7IIyGHQKerVOULs5XomPisC1zSvWTvr6WK7KraFgZrM78M43JwEA9w1uB10QLUFRG51OwX2DK3qJ3vnmJGx2h8otIvIfBiLyisMh8NT6QwCAgR2bItIYfIvPSTd2qXgn//f/HEUBhwXIS58fysa5K6VoGmPE+F4t1W6Oz4zv1RJNY4w4d6UUnx/KVrs5RH7DQEReef/bU9jxSx7METrMv6Wb2s1plD8M74A2SVHIyi/D/352RO3mUBASQuCt7ccBAHf3bwtzRPC+QbiaOUKPu/u3BQC8tf049zajkMVARB47lVeM//v8RwDA47++Fu2aRqvcosaJMhrwwu+uh6IAH+09i80/XlC7SRRkvj1xCQfP5cNk0OGu/q3Vbo7P3dW/NUwGHQ6ey3fOLCUKNQxE5BGHQ+BPH/2A0nI7+rdPxJQBbdVukk/0bZuIewdV1Eo8sfYgrpRYVW4RBZO3v6roHZqQ3gpJMSaVW+N7STEmTEhvBaDqayUKNQxE5JF3dpzEdycvIdqox98nXh8ShaPSrJs6o0OzaOQUWjDv08NqN4eCxC8Xi/BlZg4A4N7BwT/Vvjbya/syMwe/XOTq1RR6GIiowX65WITnv6gYKnvy5i5Iq9wNO1SYI/R44XfXQ6cAnxw4jy9YQEr1yC8px183ZAKoKM7v0Cx4t+qoT4dmMc4JCH/dkIn8Ek5AoNASFIFo8eLFaNeuHcxmM9LT0/HVV1/Vef62bduQnp4Os9mM9u3b4/XXXw9QS0PXzzlFyFhzABabA0OuaYo7fxV6dRIA0Kt1Ah4c1gEA8OdPDmL3yUssIqUaHA6Bj/acwQ0vbsXmH3OgUyqK80PdH4Z3hE4BNv+Ygxte3IqP9pyBw8HXB4UGRWj8t/2aNWtw9913Y/HixRg0aBDeeOMNvP322zhy5Ahat675R/nEiRPo3r077r//fjz44IP45ptv8NBDD+GDDz7AhAkTGnTNgoICxMfHIz8/H3Fxcb7+koKGxWbHF4eyserb085CyliTAf95dChaNIlUuXX+Y7HZccs/vsHRC4UAKnb9vrNfa9zWqxXioyJUbh2p7cj5Ajy1/hD2VO5X1jE5Bs/8thsGdmiqcssCY+cvefjL+kP4uXLT1z5tEvDMb7uja4vw/V1J2tGYv9+aD0T9+vVD7969sWTJEuexLl26YPz48ViwYEGN8x9//HF8+umnyMzMdB6bNm0avv/+e+zcubNB15Tf0CMnsxAb5IHo6mdXCMAhBOxCwO6o+igssyGv2IJLxVbkFVlxoaAMG49cwKXiiuJinQLccG0KHhnZ0bnpYyjLyi/Fwk3H8On351FabgcAmCN0GNW1OVonRiIp2oSkGCMSo41oEmmEXqfAoFegUxQYdBX/Km7Kq9wdo8Cr/rqQ/3cIAZvDgXK7gM0uUO5woNhiw7nLpTh7uRRnL5fgzOVSHDhzBXaHQJRRjz+OvAb/M6hdUO7j1xhWmwPvfHMCr/z3GEqsduh1CnqmNUGrhEikJUShVUIkWiZEItpkQIROB4NeQYRegUGng67yRVD9tcDXBflKYUEBurZNDb1AZLVaERUVhY8++gi33nqr8/gf//hHHDhwANu2batxn6FDh6JXr1545ZVXnMfWrVuH22+/HSUlJYiIqPkO32KxwGKxOD8vKChAWloa0mZ+CJ0ptOpkPNU8zoxJfdMwqW9aSPcK1aagrByf7D+HVd+exo/ZhWo3hzRi7HXN8eebu4bla6K681dK8eyGI/j8IOvtSBsclhKcWXi7V4HI4Kc2+URubi7sdjtSUlJcjqekpCA72/0LMDs72+35NpsNubm5SE1NrXGfBQsWYP78+TWOGw066EPgnZ+iAAqq3pXpFAU6BTDoK96t6XVAjMmApGgTEqONSIoxIinaiB6tmmB452Yw6IP/e+CtOHME7hnQFnf3b4N9py/jm5/zkFdkQV5lT9qlYivyS8tdetwcjooeOPlWQ6DiP9p96xH63PbWVXtNKAAUpaKXz6DTVfRm6BWYDXq0TIhEq4RItKrs+bgmORadmwfvLva+1KJJJBb/Ph0/XSjETxcKnT1pZy+X4vyVUpSW2yt62+wVvW82u4AQFa+Iq18f1fG1Qt6y273/e6XpQCQpV/02E0LUOFbf+e6OS3PmzEFGRobzc9lDtO8vo8K6hoiqKIqC9DaJSG8TnJvYEvlTp5RYdEphSCT1FRQUIP4F7+6r6UDUtGlT6PX6Gr1BOTk5NXqBpObNm7s932AwICkpye19TCYTTKbQW0yNiIiIGkbTYyFGoxHp6enYtGmTy/FNmzZh4MCBbu8zYMCAGudv3LgRffr0cVs/RERERKTpQAQAGRkZePvtt7Fs2TJkZmbi0UcfxenTpzFt2jQAFcNd99xzj/P8adOm4dSpU8jIyEBmZiaWLVuGpUuXYtasWWp9CURERKRxmh4yA4BJkyYhLy8PzzzzDLKystC9e3d8/vnnaNOmDQAgKysLp0+fdp7frl07fP7553j00Ufx2muvoUWLFli0aFGD1yAiIiKi8KPpafdq4cKMREREwacxf781P2RGRERE5G8MRERERBT2GIiIiIgo7DEQERERUdhjICIiIqKwx0BEREREYY+BiIiIiMIeAxERERGFPQYiIiIiCnua37pDDXLx7oKCApVbQkRERA0l/257swkHA5EbeXl5AIC0tDSVW0JERESeysvLQ3x8vEf3YSByIzExEQBw+vRpj7+h5HsFBQVIS0vDmTNnuLecyvhcaAefC+3gc6Ed+fn5aN26tfPvuCcYiNzQ6SpKq+Lj4/nDrSFxcXF8PjSCz4V28LnQDj4X2iH/jnt0Hz+0g4iIiCioMBARERFR2GMgcsNkMuHpp5+GyWRSuykEPh9awudCO/hcaAefC+1ozHOhCG/mphERERGFEPYQERERUdhjICIiIqKwx0BEREREYY+BiIiIiMIeA5EbixcvRrt27WA2m5Geno6vvvpK7SaFpe3bt2PcuHFo0aIFFEXBJ598onaTwtKCBQvQt29fxMbGIjk5GePHj8fRo0fVblbYWrJkCXr06OFcBHDAgAH497//rXazwt6CBQugKApmzpypdlPC0rx586AoistH8+bNPXoMBqKrrFmzBjNnzsTcuXOxf/9+DBkyBGPGjMHp06fVblrYKS4uxvXXX49XX31V7aaEtW3btmH69OnYtWsXNm3aBJvNhtGjR6O4uFjtpoWlVq1a4W9/+xv27NmDPXv24IYbbsBvf/tbHD58WO2mha3du3fjzTffRI8ePdRuSljr1q0bsrKynB8HDx706P6cdn+Vfv36oXfv3liyZInzWJcuXTB+/HgsWLBAxZaFN0VRsG7dOowfP17tpoS9ixcvIjk5Gdu2bcPQoUPVbg6hYv/Fv//977j33nvVbkrYKSoqQu/evbF48WI8++yz6NmzJxYuXKh2s8LOvHnz8Mknn+DAgQNePwZ7iKqxWq3Yu3cvRo8e7XJ89OjR2LFjh0qtItKW/Px8APBq80TyLbvdjtWrV6O4uBgDBgxQuzlhafr06bj55ptx4403qt2UsHfs2DG0aNEC7dq1w+TJk3H8+HGP7s/NXavJzc2F3W5HSkqKy/GUlBRkZ2er1Coi7RBCICMjA4MHD0b37t3Vbk7YOnjwIAYMGICysjLExMRg3bp16Nq1q9rNCjurV6/Gvn37sHv3brWbEvb69euHFStWoFOnTrhw4QKeffZZDBw4EIcPH0ZSUlKDHoOByA1FUVw+F0LUOEYUjh5++GH88MMP+Prrr9VuSljr3LkzDhw4gCtXrmDt2rWYMmUKtm3bxlAUQGfOnMEf//hHbNy4EWazWe3mhL0xY8Y4/3/ddddhwIAB6NChA959911kZGQ06DEYiKpp2rQp9Hp9jd6gnJycGr1GROFmxowZ+PTTT7F9+3a0atVK7eaENaPRiI4dOwIA+vTpg927d+OVV17BG2+8oXLLwsfevXuRk5OD9PR05zG73Y7t27fj1VdfhcVigV6vV7GF4S06OhrXXXcdjh071uD7sIaoGqPRiPT0dGzatMnl+KZNmzBw4ECVWkWkLiEEHn74YXz88cfYvHkz2rVrp3aT6CpCCFgsFrWbEVZGjhyJgwcP4sCBA86PPn364Pe//z0OHDjAMKQyi8WCzMxMpKamNvg+7CG6SkZGBu6++2706dMHAwYMwJtvvonTp09j2rRpajct7BQVFeHnn392fn7ixAkcOHAAiYmJaN26tYotCy/Tp0/HqlWrsH79esTGxjp7UOPj4xEZGaly68LPk08+iTFjxiAtLQ2FhYVYvXo1tm7dii+++ELtpoWV2NjYGnV00dHRSEpKYn2dCmbNmoVx48ahdevWyMnJwbPPPouCggJMmTKlwY/BQHSVSZMmIS8vD8888wyysrLQvXt3fP7552jTpo3aTQs7e/bswYgRI5yfy3HgKVOmYPny5Sq1KvzIJSiGDx/ucvydd97B1KlTA9+gMHfhwgXcfffdyMrKQnx8PHr06IEvvvgCo0aNUrtpRKo5e/Ys7rjjDuTm5qJZs2bo378/du3a5dHfbq5DRERERGGPNUREREQU9hiIiIiIKOwxEBEREVHYYyAiIiKisMdARERERGGPgYiIiIjCHgMRERERhT0GIiIKGfPmzYOiKJg3b16jHqdt27ZQFAUnT5706H7Dhw+HoijYunVrjdtKSkowa9YstGvXDhEREVAUhQtbEmkIV6omIgqA+++/H6tWrUJUVBR69uwJk8mETp06AYAzwDU2yBGR9xiIiIh8pHXr1ujcuTOioqJcjl++fBmrV69GVFQUfvzxR6SlpbncPn/+fAAMRERqYiAiIvKRFStWuD1+7NgxOBwOdO/evUYYIiJtYA0REZGflZaWAgAiIyNVbgkR1YaBiIh8TlEUKIoCAFi7di2GDh2KJk2a1ChUvnTpEubOnYvu3bsjOjoasbGx6N+/P9566y04HA63j22z2fD888/j2muvhdlsRsuWLXH//ffjwoULtbZHCIEVK1Y422E0GtG8eXOkp6dj9uzZOHv2bK333bVrF8aMGYOEhARER0djyJAh2Lx5s9tzry6qPnnyJBRFwfDhwwEA27Ztc35vZFG1/D5V/77JD0+LuonIexwyIyK/ee655/DEE08gJSUFnTp1cvkDf/jwYdx00004d+4cjEYjOnbsCIvFgu+++w7ffvstNm7ciA8//NAlMNjtdtx222347LPPAACdOnVCZGQk3nnnHWzcuBG33HKL23b86U9/wosvvgigos6nU6dOyM3NxaFDh7Bv3z4MHDgQrVq1qnG/f/3rX8jIyEBcXBw6dOiAn3/+GV9//TVuuukmbNq0yRl0amM2mzFo0CDk5+fj0KFDiIuLw3XXXee8vVOnThg0aBC++eYbAMCgQYNq3J+IAkQQEfkYAAFAGI1G8eabbwqHwyGEEKK8vFyUl5eLoqIi0aFDBwFAPPLIIyI/P99538OHD4tu3boJAOLVV191edxXXnlFABAJCQniq6++ch4/ceKE6N69u4iIiBAAxNNPP+28LScnR+h0OhEfHy++/vprl8crLS0VH3zwgfj+++9djrdp00YAEBEREWLBggXCZrMJIYSwWq3i97//vQAg+vXrV+PrHjZsmAAgtmzZ4nJ8y5YtAoAYNmxYnd8vIlIPh8yIyG8efPBB3H///c5eHoPBAIPBgGXLluGXX37BrbfeildeeQVxcXHO+3Tt2hWrVq2Coih46aWXnMeFEM5enmeffRaDBw923ta2bVu8++67KC8vr9GGX375BQ6HAzfccIPbHpjJkyejR48ebtv/61//Gk888QT0ej0AICIiAgsXLoTJZMK3336Ly5cve/mdISKtYSAiIr+555573B7/+OOPAQD33Xef29t79OiBtm3b4vjx4876nszMTJw+fRpms9ntgoa9e/dG//79axyXs7q+/fZbnD592qP2u2tf06ZN0bZtWwDA8ePHPXo8ItIu1hARkd906dLF7fGDBw8CAJ566in83//9n9tzcnNzAQDnzp1Dq1at8NNPPwEA2rRpU2Odn+rX27Vrl8uxli1b4ne/+x0++ugjdOzYESNGjMDw4cMxZMgQ9O/fHwZD7b8GO3To4PZ4cnIyjh49iqKiolrvS0TBhYGIiPwmOjra7fH8/HwAwN69e+t9DDllXYaPZs2a1XpuSkqK2+MrVqxA165d8fbbb2Pjxo3YuHGj87Fmz56NjIwM6HQ1O8xra788VwhRb/uJKDhwyIyIAi4mJgZAxYKFQog6P+RMLnmfixcv1vq4OTk5bo+bzWbMmzcPZ8+eRWZmJt544w2MGzcOeXl5+NOf/uRSq0RE4YmBiIgCrmvXrgCAQ4cONfg+ct+v06dPo6SkxO05mZmZ9T7OtddeiwceeACffvopFi9eDAB46623GtwOIgpNDEREFHC33XYbAGDRokUNHna69tprkZaWhtLSUrdbZBw4cAA7d+70qB2yCPv8+fMe3c/X5ArWcniQiAKPgYiIAu7BBx9E+/btsWXLFvz+979HVlaWy+1FRUX48MMPkZGR4Tym0+mcn8+dOxc7duxw3nbq1ClMmTIFERERNa713//+F3/6059w5MiRGtf4+9//DqBihpqa2rdvD6BiJWsiUgcDEREFXExMDDZs2IB27drhgw8+QKtWrdC1a1f0798fnTt3RpMmTTBp0iSX0AMAM2bMwNixY3Hp0iUMGjQIXbp0Qa9evdCxY0dcuXIFDz74YI1rFRYW4oUXXkC3bt2QnJyMvn37omfPnkhJScH777+P+Ph4vPzyy4H60t2aNGkSAOA3v/kNevfujeHDh2P48OHIzs5WtV1E4YSzzIhIFddeey2+//57LF68GOvWrUNmZiaOHz+O1NRUDBs2DGPHjsWECRNc7qPX6/HJJ5/gxRdfxDvvvIPjx48jKSkJU6ZMwV//+lcsWbKkxnWGDBmCRYsWYdOmTTh06BCOHDmCiIgIdOzYEb/+9a/x6KOPonnz5oH6st164oknYLfbsXr1ahw5cgQWiwUAUFZWpmq7iMKJIjhvlIiIiMIch8yIiIgo7DEQERERUdhjICIiIqKwx0BEREREYY+BiIiIiMIeAxERERGFPQYiIiIiCnsMRERERBT2GIiIiIgo7DEQERERUdhjICIiIqKwx0BEREREYY+BiIiIiMIeAxERERGFvf8Pyt0tQEKxr74AAAAASUVORK5CYII=", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Create a multi-modal distribution with two distinct Gaussian distributions\n", "mu = np.array([1, 3])\n", "sig = np.array([0.1, 0.1])\n", "wt = np.array([0.4, 0.6])\n", "\n", "distinct_norms = qp.Ensemble(qp.mixmod, data=dict(means=mu, stds=sig, weights=wt))\n", "fig, ax = qp.plotting.plot_native(distinct_norms, xlim=STD_X_LIM)\n", "ax.set_title('Original distinct Gaussian distribution')" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [], "source": [ "# Define the quantiles, extract the locations from the original distribution\n", "distinct_norm_quantiles = np.linspace(0.001, 0.999, 30)\n", "distinct_norm_locations = distinct_norms.ppf(distinct_norm_quantiles)\n", "\n", "# Create a quantile parameterization Ensemble\n", "quant_dist_distinct_norm = qp.quant(quants=distinct_norm_quantiles, locs=distinct_norm_locations)" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "WARNING:root:Already using interpolator: 'piecewise_linear'.\n" ] }, { "data": { "text/plain": [ "Text(0.5, 1.0, 'dual_spline_average')" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(2,2)\n", "plt.setp(ax, xlim=STD_X_LIM)\n", "\n", "quant_dist_distinct_norm.dist.pdf_constructor_name = 'piecewise_linear' # Will emit a logger warning that this constructor is already selected\n", "qp.plotting.plot_native(quant_dist_distinct_norm, axes=ax[0,0])\n", "qp.plotting.plot_native(distinct_norms, axes=ax[0,0])\n", "\n", "quant_dist_distinct_norm.dist.pdf_constructor_name = 'piecewise_constant'\n", "qp.plotting.plot_native(quant_dist_distinct_norm, axes=ax[0,1])\n", "qp.plotting.plot_native(distinct_norms, axes=ax[0,1])\n", "\n", "quant_dist_distinct_norm.dist.pdf_constructor_name = 'cdf_spline_derivative'\n", "qp.plotting.plot_native(quant_dist_distinct_norm, axes=ax[1,0])\n", "qp.plotting.plot_native(distinct_norms, axes=ax[1,0])\n", "\n", "quant_dist_distinct_norm.dist.pdf_constructor_name = 'dual_spline_average'\n", "qp.plotting.plot_native(quant_dist_distinct_norm, axes=ax[1,1])\n", "qp.plotting.plot_native(distinct_norms, axes=ax[1,1])\n", "\n", "ax[0,0].set_title('piecewise_linear')\n", "ax[0,1].set_title('piecewise_constant')\n", "ax[1,0].set_title('cdf_spline_derivative')\n", "ax[1,1].set_title('dual_spline_average')" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## PDF Reconstruction algorithm `debug` method\n", "Each PDF reconstruction class has a `debug` method which will generally return a tuple of the primary and intermediate calculations used to reconstruct the original PDF. " ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Original merged Gaussian distribution')" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Create a multi-modal distribution where two Gaussian distributions are merged - same as the section above, \"Merged Gaussian distributions\".\n", "mu = np.array([1.7, 2.9])\n", "sig = np.array([0.3, 0.4])\n", "wt = np.array([0.4, 0.6])\n", "\n", "merged_norms = qp.Ensemble(qp.mixmod, data=dict(means=mu, stds=sig, weights=wt))\n", "fig, ax = qp.plotting.plot_native(merged_norms, xlim=STD_X_LIM)\n", "ax.set_title('Original merged Gaussian distribution')\n", "\n" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "In the following diagram, we've used the `debug` method to retrieve the intermediate calculations from the dual spline average PDF reconstructor. \n", "\n", "The plot shows the original PDF in blue, and the reconstructed points as orange stars. Shown as a green dotted line, the trapezoid reconstruction of the original PDF uses an iterative approach to calculate the unknown corner of the trapezoid approximation of the curve.\n", "\n", "Noting that the trapezoid reconstruction oscillates around the true PDF at every point leads to fitting two splines (the purple and red dashed lines) on the even and odd points of the trapezoid reconstruction. The final output is the average of the two splines at a given x location." ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(0.0, 5.0)" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Define the quantiles, extract the locations from the original distribution\n", "merged_norm_quantiles = np.linspace(0.001, 0.999, 30)\n", "merged_norm_locations = merged_norms.ppf(merged_norm_quantiles)\n", "\n", "# Create a quantile parameterization Ensemble\n", "quant_dist_merged_norm = qp.quant(quants=merged_norm_quantiles, locs=merged_norm_locations)\n", "\n", "# Set the PDF reconstruction algorithm to use\n", "quant_dist_merged_norm.dist.pdf_constructor_name = 'dual_spline_average'\n", "\n", "# Retrieve the reconstructed PDF manually by passing in a \"grid\".\n", "x_values = np.linspace(0,5,100)\n", "original_y_values = merged_norms.pdf(x_values)\n", "y_values = quant_dist_merged_norm.pdf(x_values)\n", "\n", "# Retrieve the primary data and intermediate calculations for the algorithm.\n", "# Here `quantiles`` and `locations`` are the primary data. `p_of_zs`, `y1`, and `y2` are intermediate results.\n", "# `p_of_zs` represents the intermediate stepwise calculation of area under the PDF based on the the difference between adjacent quantiles\n", "# `y1` and `y2` are splines fit to the odd and even `p_of_zs` values (respectively)\n", "quantiles, locations, p_of_zs, y1, y2 = quant_dist_merged_norm.dist.pdf_constructor.debug()\n", "\n", "plt.plot(x_values, original_y_values, linewidth=5, label='Original PDF')\n", "plt.plot(x_values, y_values, marker='*', linestyle='none', label='Reconstructed PDF')\n", "plt.plot(np.squeeze(locations), np.squeeze(p_of_zs), linestyle=':', label='Intermediate trapezoid')\n", "plt.plot(x_values, np.squeeze(y1), linestyle='--', label='Lower spline fit')\n", "plt.plot(x_values, np.squeeze(y2), linestyle='--', label='Upper spline fit')\n", "plt.legend(loc='center left', bbox_to_anchor=(1, 0.5))\n", "plt.xlim(0,5)\n" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## Reference material\n", "The following code was extracted from the original implementation of `qp` [github link](https://github.com/aimalz/qp). It was originally written using Python 2 and was updated to run on Python 3, and is kept here as a reference.\n", "\n", "Note: The PDF constructor `cdf_spline_derivative` is a reproduction of this original code." ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [], "source": [ "#The following methods were extracted from https://github.com/aimalz/qp/blob/master/qp/pdf.py and modified only so that they would run within this notebook. The math has not changed.\n", "from scipy.interpolate import interp1d, InterpolatedUnivariateSpline\n", "import sys\n", "\n", "epsilon = sys.float_info.epsilon\n", "infty = sys.float_info.max * epsilon\n", "\n", "def sandwich(in_arr, ends):\n", " \"\"\"\n", " Adds given values to the ends of a 1D array\n", "\n", " Parameters\n", " ----------\n", " in_arr: numpy.ndarray, float\n", " original array\n", " ends: numpy.ndarray or tuple or list, float or numpy.ndarray, float\n", " values to be added to the beginning and end\n", "\n", " Returns\n", " -------\n", " out_arr: numpy.ndarray, float\n", " array with front and back concatenations\n", " \"\"\"\n", " if type(ends[0]) == np.ndarray:\n", " prepend = len(ends[0])\n", " else:\n", " prepend = 1\n", " if type(ends[-1]) == np.ndarray:\n", " append = -1 * len(ends[-1])\n", " else:\n", " append = -1\n", " out_arr = np.zeros(prepend + len(in_arr) - append)\n", " out_arr[:prepend] = ends[0]\n", " out_arr[prepend:append] = in_arr\n", " out_arr[append:] = ends[-1]\n", " return out_arr\n", "\n", "def evaluate_histogram(in_data, threshold=epsilon):\n", " \"\"\"\n", " Produces PDF values given samples\n", "\n", " Parameters\n", " ----------\n", " in_data: None or tuple, numpy.ndarray, float\n", " tuple of (n+1) bin endpoints x and (n) CDF y between endpoints\n", " threshold: float, optional\n", "\n", " vb: boolean, optional\n", " be careful and print progress to stdout?\n", "\n", " Returns\n", " -------\n", " out_data: tuple, float\n", " sorted samples x and corresponding PDF values y\n", " \"\"\"\n", " # x = locs (or in our case redshift values)\n", " # y = first derivatives of delta_quant/delta_loc or in our case p(z)\n", " (x, y) = in_data\n", " dx = threshold\n", " xs = np.zeros(2 * len(y))\n", " ys = xs\n", " # ! xs defines the bin edges.\n", " # ! This is creating the bin edges. xs[0] and xs[1] are the edges of the first bin. \n", " # ! xs[2] = xs[1]+epsilon becomes the beginning of the second bin, etc.\n", " # ! Then we \"repeat\" the y values so that you end up with histogram steps.\n", " xs[::2] = x[:-1] + dx\n", " xs[1::2] = x[1:] - dx\n", " ys = np.repeat(y, 2)\n", " xs = sandwich(xs, (x[0] - dx, x[-1] + dx))\n", " ys = sandwich(ys, (threshold, threshold))\n", " out_data = (xs, ys)\n", " return out_data\n", "\n", "def evaluate_quantiles(in_data, threshold=epsilon):\n", " \"\"\"\n", " Estimates PDF values given quantile information\n", "\n", " Parameters\n", " ----------\n", " in_data: tuple, numpy.ndarray, float\n", " tuple of CDF values iy and values x at which those CDFs are achieved\n", " threshold: float, optional\n", " optional minimum threshold for CDF difference\n", " vb: boolean, optional\n", " be careful and print progress to stdout?\n", "\n", " Returns\n", " -------\n", " out_data: tuple, numpy.ndarray, float\n", " values xs and corresponding PDF values ys\n", " \"\"\"\n", "\n", " # iy = quants\n", " # x = locs\n", " (iy, x) = in_data\n", "\n", " # This is the same as np.diff(x)\n", " dx = x[1:] - x[:-1]\n", " \n", " # This is the same as np.diff(iy)\n", " diy = iy[1:] - iy[:-1]\n", "\n", " # this is the numerical first derivative i.e. p(z)\n", " y = diy / dx\n", "\n", " # evaluate_histogram(locs, first_derivs)\n", " (xs, ys) = evaluate_histogram((x, y), threshold=threshold)\n", " out_data = (xs[1:-1], ys[1:-1])\n", " return out_data\n", "\n", "def normalize_quantiles(in_data, threshold=epsilon):\n", " \"\"\"\n", " Evaluates PDF from quantiles including endpoints from linear extrapolation\n", "\n", " Parameters\n", " ----------\n", " in_data: tuple, numpy.ndarray, float\n", " tuple of CDF values iy corresponding to quantiles and the points x at\n", " which those CDF values are achieved\n", " threshold: float, optional\n", " optional minimum threshold for PDF\n", " vb: boolean, optional\n", " be careful and print progress to stdout?\n", "\n", " Returns\n", " -------\n", " out_data: tuple, ndarray, float\n", " tuple of values x at which CDF is achieved, including extrema, and\n", " normalized PDF values y at x\n", " \"\"\"\n", "\n", " # iy = quants\n", " # x = locs\n", " (iy, x) = in_data\n", " (xs, ys) = evaluate_quantiles((iy, x))\n", " # xs = xs[1:-1]\n", " # ys = ys[1:-1]\n", "\n", " # ! I believe that this is just using the slope to add end points to the list of x values.\n", " x_min = xs[0] - 2 * iy[0] / ys[0]\n", " x_max = xs[-1] + 2 * (1. - iy[-1]) / ys[-1]\n", " xs = sandwich(xs, (x_min, x_max))\n", " ys = sandwich(ys, (threshold, threshold))\n", " out_data = (xs, ys)\n", " return out_data\n", "\n", "def normalize_gridded(in_data, thresholds=(epsilon, infty)):\n", " \"\"\"\n", " Removes extreme values from gridded parametrizations\n", "\n", " Parameters\n", " ----------\n", " in_data: None or tuple, numpy.ndarray, float\n", " tuple of points x at which function is evaluated and the PDF y at those\n", " points\n", " thresholds: tuple, float, optional\n", " optional min/max thresholds for normalization\n", "\n", " Returns\n", " -------\n", " out_data: tuple, numpy.ndarray, float\n", " tuple of input x and normalized y\n", " \"\"\"\n", " if in_data is None:\n", " return in_data\n", " (x, y) = in_data\n", " y[y < thresholds[0]] = thresholds[0]\n", " y[y > thresholds[-1]] = thresholds[-1]\n", " out_data = (x, y)\n", " return out_data\n", "\n", "def original_qp_interpolation(quants, locs):\n", "\n", " # ! These are the variable name substitutions I've made\n", " # quants_and_locs = self.quantiles # A 2d array of quantiles and locations\n", " # scheme = scheme # using 'linear', used to determine the type of interpolation with interp1d\n", "\n", " scheme = 'linear'\n", " quants_and_locs = np.array([quants, locs])\n", "\n", " if type(scheme) != int:\n", " order = min(5, len(quants_and_locs[0]))\n", " else:\n", " order = scheme\n", "\n", " # ! Looks like only min(x) and max(x) are used after this in this function, but x,y are used in `quantile_interpolator` later.\n", " (x, y) = normalize_quantiles(quants_and_locs)\n", " z = np.insert(quants_and_locs[1], 0, min(x))\n", " z = np.append(z, max(x))\n", " q = np.insert(quants_and_locs[0], 0, 0.)\n", " q = np.append(q, 1.)\n", "\n", " [x_crit_lo, x_crit_hi] = [quants_and_locs[1][0], quants_and_locs[1][-1]]\n", " [y_crit_lo, y_crit_hi] = [-1., -1.]\n", "\n", " try:\n", " while (order>0) and ((y_crit_lo <= 0.) or (y_crit_hi <= 0.)):\n", " inside = InterpolatedUnivariateSpline(z, q, k=order, ext=1).derivative()\n", " [y_crit_lo, y_crit_hi] = inside([x_crit_lo, x_crit_hi])\n", " order -= 1\n", " assert((y_crit_lo > 0.) and (y_crit_hi > 0.))\n", " except AssertionError:\n", " print('ERROR: spline tangents '+str((y_crit_lo, y_crit_hi))+'<0')\n", " if type(scheme) == str:\n", " this_scheme = scheme\n", " else:\n", " this_scheme = 'linear'\n", " inside_int = interp1d(z, q, kind=this_scheme, bounds_error=False, fill_value=epsilon)\n", " derivative = (q[1:] - q[:-1]) / (z[1:] - z[:-1])\n", " derivative = np.insert(derivative, 0, epsilon)\n", " derivative = np.append(derivative, epsilon)\n", " def inside(xf):\n", " nx = len(xf)\n", " yf = np.ones(nx) * epsilon\n", " for n in range(nx):\n", " i = bisect.bisect_left(z, xf[n])\n", " yf[n] = derivative[i]\n", " return(yf)\n", " [y_crit_lo, y_crit_hi] = inside([x_crit_lo, x_crit_hi])\n", " assert((y_crit_lo > 0.) and (y_crit_hi > 0.))\n", " return quants_and_locs, x_crit_lo, x_crit_hi, y_crit_lo, y_crit_hi, x, y, z, inside\n", "\n", "def quantile_interpolator(quants_and_locs, x_crit_lo, x_crit_hi, y_crit_lo, y_crit_hi, x, y, z, inside, xf):\n", " yf = np.ones(np.shape(xf)) * epsilon\n", " in_inds = ((xf >= quants_and_locs[1][0]) & (xf <= quants_and_locs[1][-1])).nonzero()[0]\n", " lo_inds = ((xf < quants_and_locs[1][0]) & (xf >= z[0])).nonzero()[0]\n", " hi_inds = ((xf > quants_and_locs[1][-1]) & (xf <= z[-1])).nonzero()[0]\n", "\n", " try:\n", " yf[in_inds] = inside(xf[in_inds])\n", " assert(np.all(yf >= epsilon))\n", "\n", " except AssertionError:\n", " print('ERROR: spline interpolation failed with '+str((xf[in_inds], yf[in_inds])))\n", " try:\n", " alternate = interp1d(x, y, kind='linear', bounds_error=False, fill_value=epsilon)\n", " yf[in_inds] = alternate(xf[in_inds])\n", " assert(np.all(yf >= epsilon))\n", "\n", " except AssertionError:\n", " print('ERROR: linear interpolation failed for the '+using+' parametrization with '+str((xf[in_inds], yf[in_inds])))\n", " backup = qp.utils.make_kludge_interpolator((x, y), threshold=epsilon)\n", " yf[in_inds] = backup(xf[in_inds])\n", "\n", " assert(np.all(yf >= epsilon))\n", "\n", " try:\n", " tan_lo = y_crit_lo / (x_crit_lo - z[0])\n", " yf[lo_inds] = tan_lo * (xf[lo_inds] - z[0])# yf[in_inds[0]] / (xf[in_inds[0]] - z[0])\n", " assert(np.all(yf >= epsilon))\n", " except AssertionError:\n", " print('ERROR: linear extrapolation below failed with '+str((xf[lo_inds], yf[lo_inds]))+' via '+str((tan_lo, x_crit_lo, z[0])))\n", "\n", " try:\n", " tan_hi = y_crit_hi / (z[-1] - x_crit_hi)\n", " yf[hi_inds] = tan_hi * (z[-1] - xf[hi_inds])# yf[in_inds[-1]] * (xf[hi_inds] - z[-1]) / (xf[in_inds[-1]] - z[-1])\n", " assert(np.all(yf >= epsilon))\n", " except AssertionError:\n", " print('ERROR: linear extrapolation above failed with '+str((xf[hi_inds], yf[hi_inds]))+' via '+str((tan_hi, z[-1], x_crit_hi)))\n", "\n", " return(yf)\n", "\n", "def approximate(quants, locs, grid=None):\n", " \"\"\"\n", " Interpolates the parametrization to get an approximation to the density.\n", "\n", " Parameters\n", " ----------\n", " points: ndarray\n", " the value(s) at which to evaluate the interpolated function\n", " \n", "\n", " Returns\n", " -------\n", " points: ndarray, float\n", " the input grid upon which to interpolate\n", " interpolated: ndarray, float\n", " the interpolated points.\n", "\n", " Notes\n", " -----\n", " Extrapolation is via the `scheme` while values are positive;\n", " otherwise, extrapolation returns 0.\n", "\n", " Example:\n", " x, y = p.approximate(np.linspace(-1., 1., 100))\n", " \"\"\"\n", " if grid is None:\n", " grid = locs\n", "\n", " quants_and_locs, x_crit_lo, x_crit_hi, y_crit_lo, y_crit_hi, x, y, z, inside = original_qp_interpolation(quants, locs)\n", "\n", " interpolated = quantile_interpolator(quants_and_locs, x_crit_lo, x_crit_hi, y_crit_lo, y_crit_hi, x, y, z, inside, grid)\n", " \n", " interpolated = normalize_gridded((grid, interpolated))\n", "\n", " return interpolated" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Example of a single distribution made up of two merged gaussian distributions" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [], "source": [ "# Experimenting with well separated multi-modal Gaussians.\n", "mu = np.array([1.7, 2.9])\n", "sig = np.array([0.3,0.4])\n", "wt = np.array([0.4, 0.6])\n", "\n", "merged_norms = qp.Ensemble(qp.mixmod, data=dict(means=mu, stds=sig, weights=wt))\n", "\n", "new_quants = np.linspace(0.001, 0.999, 11)\n", "new_locs = merged_norms.ppf(new_quants)" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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v9ft8Ap2tDaS17wUg4ZxLbE5z+pqTrNunIWVrbE4i4p1UEIl4CdM0adj6dwAOjZoM4Z7ZCmLU9KvpMh1EthbC4QKPnNOXFWz5ED/DTSkxjBvn/f1DPaImWX1EY1u20tXRbnMaEe8zJAqipUuXkpGRQVBQELm5uaxefeIVV1esWIFhGMc9du/ePYiJRc5cYW0L57atAyBsypc9dt7zc8byqZkJQO3Wf3nsvL6qPq+7fyh0Kg6HYXOa05eRM5sGQgg1Wjm4S31EIsfy+oLo1Vdf5a677uL+++9n8+bNzJs3jwULFlBUdPKdvPfs2UN5eXnvY9y4cYOUWOTsbNxTwGzHTgD8J37JY+eNGOHPwZGzAGjc8Y7HzuurQius7TrMtNk2JzkzTqeTguCJAFTvXGlzGhHv4/UF0SOPPMLNN9/MLbfcQnZ2NkuWLCElJYUnnjj5NOLY2Fji4+N7H06n84TPbW9vp6Gh4aiHyGBr3rGMAMNFbXAGRI/16LlHTPg8AHG1H0OXtvI4W+1tzYxut0abk4ZQ/1CP9oTpAPiVaV0qkWN5dUHU0dHBpk2bmD9//lHH58+fz9q1a0/62qlTp5KQkMAll1zChx9+eNLnLl68mIiIiN5HSkpKv7OLnAnTNEmqsNYeah2zwOPnz515PtVmOMFmK/V7tTjf2dq3eRUBRhc1jCR17CS745yxUVnWIp+pzdtxuU2b04h4F68uiGpqanC5XMTFxR11PC4ujoqKij5fk5CQwFNPPcVrr73G66+/TlZWFpdccgmrVq064XXuu+8+6uvrex/FxcUe/TpETuVAeS2z3Z8CEDPjao+fP3FUCNsDrdGBsk3/9Pj5fUVdnvXHVWHYVAyHV//47FP65Hl0mQ7iqWXfPvVVihzJz+4Ap8Mwjm5cNE3zuGM9srKyyMrK6v149uzZFBcX89BDD3H++X0vchcYGEhgYKDnAoucocKNyxhjtFPriCYqNXdArtGZcTHs+YCQ4hUDcn5fENa9/pB7iKw/dCy/4DAOBo4hoyOfsm0ryMocOrPkRAaaV/+JEx0djdPpPG40qKqq6rhRo5OZNWsW+fn5no4n4jFB+6yd00viLoYTFPv9NXrWF3GbBqkd+2mp0SjomWpvb2Ns+y4A4iddbHOas9cYYxXc7qKPbU4i4l28uiAKCAggNzeX5cuPXll1+fLlzJlz+n+hbd68mYSEBE/HE/EI09VFdoO1WF7g5P4vxngiY9PT2eO0mrX3r//HgF1nuDqwfS0jjHbqCCU5c6rdcc5a6FhrgcaEhi2YpvqIRHp4/S2zhQsXcsMNNzB9+nRmz57NU089RVFREbfffjtg9f+UlpbywgsvALBkyRLS09OZOHEiHR0d/PnPf+a1117jtddes/PLEDmh4q0fkkoDdWYIo3Pnn/oFZ8kwDGrizoPyfLr2vg/cOWDXGo7q81YAcHDEZKY6Tjxr1dsln3MRrIRMs5Ci8mrSEmPtjiTiFby+ILrmmmuora1l0aJFlJeXk5OTw7Jly0hLSwOgvLz8qDWJOjo6uOeeeygtLSU4OJiJEyfy9ttvc/nll9v1JYicVOOWNwDYHjKbeQEBA3qtqClfgPJnGd3wMa6uLpx+Xv8jwGsEl1u3mFoTZ9mcpH8CIlOodsQQ466maMcq0hK/anckEa9gmBozPU5DQwMRERHU19cTHh5udxwZzkyTmp9nEd1VybKJD3H5124d0Mt1dXbQ/LN0IoxmDl75dzKmXjig1xsuTFcXTf+bQhgt5F3xFtm5fU/QGCp2PPpVcg4v598Jt3LJbQ/ZHUfEY/rz+9ure4hEhjt3+TaiuyppNQNIyP3CgF/Pzz+A3SFWU2399mUDfr3honTPRsJoockMZvSkmXbH6Tcz5VwARtZ8anMSEe+hgkjERlVb3wXgY3LISYsflGs2J18IQETpidfmkqNV77TWH8oPnEhgwNBfoiN2ojXCNa4jj7aOTpvTiHgHFUQiNmrfb60aXRE5HX/n4PxzjDrHWgk7rX03ZnPtoFxzqHMWW5vu1sfOsDmJZ8SOzaWFIMKNFvbt3Gh3HBGvoIJIxC5uN9GHrFsWAaPPG7TLjs/KYo+ZigOTyi3a7PWUTJOUxi0AhGZdYG8WDzGc/hQGWYsyHt6trVxEQAWRiG1cVXmEuBtpNgMZe87grXwc6Odkb6jVB9O8SwXRqdSV5DHKrKfN9GfslHl2x/GY5rhpAPiXfWJzEhHvoIJIxCYV26zNXLcZmUxMjh7Ua7enXwhAZOW6Qb3uUFS6bQUAe/3GMTIs1N4wHhQyxhqVTGrabnMSEe+ggkjEJq37rFsVlSOn4XQMzHYdJ5KcY23yOaqrGrNO23icTEfBegAOjZpibxAPSz3nAtymQYpZTlVZ0alfIDLMqSASsYNpElVrNbP6D2L/UI9zxiSzG2tx09rdawb9+kNJ5OGtAASkD+0FGY8VEhFFoTMVgJLtK21OI2I/FUQiNjAPFzDKVUuH6ST9nMFv1A0OcFI0IgeAQ3vUVHsibY2HSeksBCB58vBoqD5S9chzAOg4qFunIiqIRGxQ272uzXbGkJkcY0uGriRrCnlQhaZdn0jRtpU4DJMS4khJSbM7jseZqVZz/cjazTYnEbGfCiIRG7TsWw1AwYhzBm39oWPFZlszphJb90Jnqy0ZvF19/loASkNzMIzB7fMaDPHdCzSO7thLZ3uLzWlE7KWCSMQGoRUbAGiOt2+hv4kTcqg0R+KHi5q9623L4c2CKzcB0JU4PBZkPFbK6BwOEUaA0UXRLk2/F9+mgkhksDVWEtlejNs0CB0317YYYcEB7AucCEDlTm3jcSzT7SKtdRcAUeMHv/F9MDicDoq6F2isVVEsPk4FkcggMwut2zC7zVSy0lNszdISa230apRodOBYxXu3EEYLLWYgo3OG/oauJ9ISMwUAo2yTvUFEbKaCSGSQNe6xpjhvJJvMuDBbs4RnWiNUiY3bwDRtzeJtekbNDgRmERAQYHOagRMy2rodGNuwy+YkIvZSQSQyyMwia4pz+ciptjVU98g8Zy7tpj8jzQYOley2NYu3cRdbo2ZNMVNtTjKw0nKs24FpZgl1h2tsTiNiHxVEIoOptY7w+j0AmCn2L/Q3KiKMfX5jASjeusLeMF4mrmEbAMGjZ9ucZGCNjEmk3IgFoGCb1qQS36WCSGQwFX+MgckBdzwZ6aPtTgPA4ShrBKSzQE21PeoPVZHuLgEgbfKF9oYZBBWhVnN90wH1konvUkEkMoh6Gqo3uMeTkxRhcxpLUIY1UhV1aIu9QbxIwVarz6vYSGRkTILNaQaeO8EqioOqttgbRMRGKohEBlH7fmtBxk8N+xuqe6RPuQiANFchTfWHbE7jHVr3W31eFeGTbE4yOEaOs24LJrfuxlRzvfgoFUQig6WjhYBKqy/lcMx02xuqe0QnpFJqxOEwTAq3apNPgJDqTwFwJw3PBRmPlTJxFi7TIJ5ayooO2h1HxBbe8RNZxBeUbsRhdlJuRhKbkml3mqOUhk4GoHn/WpuT2M/V1UVGmzXjLjr7fJvTDI6AEeEU+6UCUJa3xuY0IvZQQSQyWEqthe8+dY9lUvJIe7McozNxOgAhlVqcr3jPJkKNVprMYNLGT7M7zqCpjcgBoKNIm/2Kb1JBJDJIzLItAGxzj/Gahuoeo7q3pkhry8N0ddmcxl5VeVaf18HALPz8/W1OM3jMRKv4C6vdZnMSEXuoIBIZJF0lVl/Kbsdor2mo7jF6wrk0mUGE0kLl/q12x7GVo8TaeLcxxndGhwAiM63G6vS2PbhdbpvTiAw+FUQig6HlEP4NRQB0xk72mobqHkGBAewLyAKgapdvb/Qa17AdGP4LMh4rZfx02k1/wo1mSg/utDuOyKDzrp/KIsNV+RYACtxxjE5JsjfLCdR1L9BoFn1scxL7NNRWkuIuBSDtnAtsTjO4/AMCKfAfA0CVGqvFB6kgEhkM3f1D280MJnlZ/1AP/3RrgcaYet+9ZVa4zRodKzKSiIyOsznN4Ds8ylp3qatYzfXie1QQiQwCs2wzANvdGV7XUN0jJWceAImuMtobfXOTz2YfW5DxWI7kXABGHt5ucxKRwaeCSGQQdJVYBVGeY6zXNVT3SElKoghrVKRkh2+uRxRSbX2f3EnTbU5ij+isOQCkdezD1dlhcxqRwaWCSGSgtRzCv7EYgC4vbKjuYRgGZSMmAFC/z/c2enW7XKS35wEQ3b0Mga9JHTuRejOEIKOT0r26bSa+xTt/MosMJ923yw644xmT4t0bhXbEW43V/pVb7A1ig+K9WwijlRYzkPTsXLvj2MLPz4+CQGsV9dq962xOIzK4VBCJDLTugmiHFzdU9wgfYzVWJzbvAh/b5LMy7yMADgZm4ucfYHMa+zREWv1TZve6WSK+QgWRyAAzu6fcb3OPZmKidxdEGZNm0WU6iDIPc7iiwO44g8os7l6QMXqqzUns5Z9q9U9F1auxWnyLCiKRAebubqjexWjGxobanObkIsIjKHCmAVC8Y7XNaQZXTL21ZUVQxkybk9grLnsuAMmdhXS1NtqcRmTwqCASGUjNNTgbSwBoHDWBIH+nzYFOrbp7k8+2gg02Jxk8DfWHSHdZK4mnTPKNHe5PJC1tDFXmKJyGSdlu3/n/gIgKIpGB1L0g4353AqkJ8fZmOU1GktVQHFLjOws0Fmz7CIdhUm7EEBWfanccWzkcBsVB3Y3V+3x31XLxPSqIRAZSefeCjGaG164/dKzoLGsPr7S2vbhdLpvTDI6mfdaMqvLQHJuTeIfmSOu/g9Hd/ybiC1QQiQykni073BlkxQ+Ngih9/DRazEBCjVaK8n1jlCioyipcuxJ9c0HGYwWkTgMgsj7P5iQig0cFkcgAMnsLotGMHyIFkZ9/AIWB4wCozBv+K1a7XW7SWncBEJU5x+Y03iEx2xolTOoqolON1eIjVBCJDJSmaoyGEtymwX6/0aRGjrA70WnrWYvGXbLR5iQDr+hgHlHU02E6Sc2ZZXccr5CcOpoqrMbqkrxP7I4jMihUEIkMlO7+iwNmAklxsTgchr15zkBg2rkARNbtsDnJwCvvXl6gMGAs/oFDp2gdSA6HQUl3Y/XhfSqIxDeoIBIZKGWfNVRnDZGG6h5JOdZaNBldB2hubrY5zcBydS/IWB91js1JvEtPYzVqrBYfoYJIZKAc0T80VBqqe8QkZ3KYcAIMFwd2Du+p11GHrQUZA9N1u+xIgWnW8gtRDWqsFt+ggkhkoPSMELkzGB8fbnOYM2QYlI4YD0B9/vDd5LO+sZExrv0AJOXMszmNd0kcbxWIyWqsFh8xJAqipUuXkpGRQVBQELm5uaxefXpbCqxZswY/Pz+mTJkysAFFjtVYCY1luE2DnWb6kBshAmiLnQKAX8UWW3MMpP3b1hJguDhEBJFJ4+yO41WSUkdTzcjuxmqtWC3Dn9cXRK+++ip33XUX999/P5s3b2bevHksWLCAoqKik76uvr6eG2+8kUsuuWSQkoocodxav2e/mUhQSDjRoUNv9/TQ0daeXvFNO21OMnAauke/ykJzwBg6Te+DwTAMigO7G6v3q7Fahj+vL4geeeQRbr75Zm655Rays7NZsmQJKSkpPPHEEyd93W233cZ1113H7NmzT3mN9vZ2GhoajnqI9EultVP4TjONrLgwjCH4yzZl0nkApJulVFVX2ZxmYARVfgpAZ8I0m5N4p+YorVgtvsOrC6KOjg42bdrE/Pnzjzo+f/581q498YJxzz77LPv37+enP/3paV1n8eLFRERE9D5SUlL6lVuESmtUZbc7dUjeLgMIGRVPhSMWgIJta2xO43lut0lqi/V9GqUFGfsUkNK9YrUaq8UHeHVBVFNTg8vlIi4u7qjjcXFxVFRU9Pma/Px87r33Xl588UX8/PxO6zr33Xcf9fX1vY/i4uJ+Zxcf11MQmalDZoXqvlSGWSMELQXD75bJgYP7STRqcJsGyRPn2h3HK8VmdTdWdxbiah/eyy+IeHVB1OPY2w2mafZ5C8LlcnHdddfx4IMPkpmZedrnDwwMJDw8/KiHyFnrbIOafADy3KlkDuGCyN19K2lE9fDb06x8x0oASvzT8RsRYXMa75SaNoYaMwKnYVK2W43VMrx5dUEUHR2N0+k8bjSoqqrquFEjgMbGRjZu3Mh3v/td/Pz88PPzY9GiRWzduhU/Pz8++OCDwYouvqxmD5guDpuhVDJqyOxy35fITKuxOq11Fy63aXMaz3IXrQfgUNRUm5N4L6fTQWF3Y/WhfcN7PSoRry6IAgICyM3NZfny5UcdX758OXPmHH/PPzw8nO3bt7Nly5bex+23305WVhZbtmxh5syZgxVdfNkR/UMpkSMIDTy9W7feKHnCHLpMB3HGYQoO7LU7jkdFH7ZGvQK0IONJNXWvWG2WDb9RQpEjef1P6oULF3LDDTcwffp0Zs+ezVNPPUVRURG33347YPX/lJaW8sILL+BwOMjJyTnq9bGxsQQFBR13XGTA9PYPpZAVN7RvvzqDQjnon0FG134qdq1mzNgsuyN5xOH6Bsa59oEBSZMvsjuOV/NLmQYVzzKqfvguvyACQ6Aguuaaa6itrWXRokWUl5eTk5PDsmXLSEtLA6C8vPyUaxKJDKpKa0PUvCHeUN3jcORkMqr24yraCNxidxyPOLDtI3INF4eMkUQmakHGk4nLmgkbIKmzCHd7Cw5tgCvDlFffMutxxx13UFBQQHt7O5s2beL888/v/dxzzz3HihUrTvjaBx54gC1btgx8SJEeR9wyG8oN1T38U2cAEFk3fG6ZNOVby3aUhk7SgoynkJ4+lmozAj/DTWX+RrvjiAyYIVEQiQwZTVXQXI3bNNhrJg+LEaL4idYfIGM699HS2mpzGs8YUbUJgM7Ec21O4v38/Jy9jdU1+WqsluFLBZGIJ3XfLjtoxuNyBpERHWJzoP6LSZtIAyEEGx3s3zH01yPq6nIxutX6PkVln2dzmqGhYdREAMzSzTYnERk4KohEPOmIhuoxMaH4O4fBPzGHg+LgbADquvf+GsoO5u8gymigw/QjeYJWqD4dfsnW0gQj63fZnERk4AyDn9YiXmQYbNnRl9ZY6xeif/kmm5P0X9WuVQAUBGbiDAiyOc3QEJtpLU2Q2FmI2dFicxqRgaGCSMSTum+Z7TaHV0EUMsb6hZjQtMPmJP1nFFu3/RqitaHr6coYPZYaMxw/3FTv/9TuOCIDQgWRiKe4OqF6D2BNuc8awitUHytlktVYnWaWUV1ZbnOa/omtt2bLBY/R7bLTFejvR0GAtTxB9d6h30cm0hcVRCKeUrsPXB00mcGUmtFDesuOY4WOiqXEkQhA0Y7VNqc5e+WVlYx2W+uWpU+50N4wQ0zDyAkAuEq32BtEZICoIBLxlCMaqoP8/UkaGWxzIM+qCrNWe289OHRHCA5uXYnDMCl3xBMSlWR3nCHFmTgFgPA6NVbL8KSCSMRTehuqUxgbG4rDMbwW/HMnTQcgtHroTr1u3W8tyFg9aoq9QYagqExrzaakjoOYXe02pxHxPBVEIp7SO0KUyri4UJvDeF70eKvnJqMtj64ul81pzs6oWqsh2JmqDV3P1NhxE6gzQ/Cni0MF2+yOI+JxKohEPKW7IMpzpzIudvj0D/VIyT6XNtOfCKOZA3uG3i/Ew42tZHZaTe9Jky+wOc3QExTgx0G/sQBU7tGK1TL8qCAS8YTWw9BQAsBeM4VxscNvhMjpH0hRoDXTqGLXRzanOXN52z4m1GijmWBGpp1jd5wh6fBIa4HOzpIt9gYRGQAqiEQ8odJqNC02Y2hkxLC8ZQbQFGMt0EjJBnuDnIX6vVYRVxaaAw6nzWmGJiNhCgChh4b+elQix1JBJOIJR6xQHeTvIHnUCJsDDYyQ0VbvTUzD0PuFGFRh7dTelaQNXc9W1NgZACS17wdXl81pRDxLBZGIJ3SvUJ3XvYeZc5jNMOuROtlaoHGsu4DSmkM2pzl9ze1djGmzitbo7Hk2pxm6Ro+fTJMZRBAd1BXvtDuOiEepIBLxhCNGiIZj/1CP4Og0ah2R+BsuDmxdY3ec07ZjTz6pRhVuDGLGz7U7zpAVGhTAAedoACrUWC3DjAoikf5yu6HK6iHaY6YwbhitUH0cw6Aq3FqgsXn/epvDnL6aHf8GoCxwDASF25xmaKuNsBqr24qG7npUIn1RQSTSX4cPQmcL7QRQYMYP6xEiAJKsPpKQ6i325jgDgSXWaFZj/Gybkwx9Zrw1Qy9EjdUyzKggEumv7ttl+8wkXDiH9wgREDfhPADGdeykqa3T5jSn1tHlZmyztSBjxISLbU4z9I0aY61Yntiab42OigwTKohE+qsqD4A8dwoBfg5SRg2vPcyOFZk5mw78iDcOk7dri91xTmlP/h7SjQpcGCRMVkHUX6PHT6PN9CeEVhrL9todR8RjVBCJ9Fe1VRDtdScxOjoEP+cw/2flH0xxsNVHcnjXCnuznIbqbcsBKArMxAgeaW+YYSAiNJj9zgwAyvYMnT4ykVMZ5j+5RQZB1W4A9prJZA7z22U9WhKs9YiCy7z/F2JAsbUgY0Oc+oc8pSZ0PABthWqsluFDBZFIf7g6oXYfAPnu5OHfUN0tIvtCAMY0b6HL5b19JG63SUaT1T8Umn2RzWmGD1f8ZACCarbbnETEc1QQifTHoQPg7qTFCKaU6GG7ZcexkiZdSKfpJNGoYX/+LrvjnNDBfbtIoppO00nqFPUPeUp4htVYndCyB0zT5jQinqGCSKQ/uhuq97mTAIOxw3CX+744g0IpCMwCoHr7BzanObHK7v6hg4FZ+Adr/SFPSRufS4fpJJwmmqsO2h1HxCNUEIn0R7XVP7TblYS/0yA9anjuYdaX+lhrTzBn8Vqbk5yYs9DqH6qLnWlzkuElZlQ4Bx2pAJTv9v4+MpHToYJIpD+6R4j2msmMjg4d/jPMjjAi09rXLLXhU5uT9M3lcpPWaGUbOfESm9MMP1UhVmN1c8Emm5OIeIbv/PQWGQjdI0T5ZjJjfaR/qEf61IvpMh0kUUlF8T674xxnz+5txFNLJ05GT1VDtad1xFqN1QHVaqyW4UEFkcjZ6uronWG214dmmPUYETaKA35jASjb8r7NaY5Xvvk9AAqCJuAX5Fvfm8EQ2t1YHd+sxmoZHlQQiZytQ/vB3UWzMYJyIhnnIw3VR6qOsn4pmgUf2ZzkeD37l7Umz7E5yfCUOmE6XaaDUWYdbYdK7I4j0m8qiETOVnf/UH73DLNMH7tlBhAwZh4AcYe9q4+ksbWDzNYtAMRPnm9vmGEqPnIUBUYyAGW7P7E5jUj/qSASOVtHzDDzcxikRYXYHGjwjcn9HG7TINldRm15od1xem3dsoFYo44O/InNPs/uOMOSYRhUhFhLLzQe3GBzGpH+81hBZJom1dXV7Nq1i02bNlFYWEhLS4unTi/ifXpGiMxk0qNDCPDzvb8vIqNjOeA3GoADG9+xOc1nDu201kYqCZ0E/kE2pxm+2qInAeBfqcZqGfr8+vPi/Px8Xn31VVatWsW6dev6LIDGjRvHvHnzmD9/PldddRX+/v79uaSI96j+bA8zX2uoPtLhmHOhYj+d+z8CbrM7DgDh5dbaSO60eTYnGd5C03OhEGKb8+yOItJvZ1UQ/fWvf+V3v/sdH31kNVKa3TMMHA4HERERBAcHc+jQIdra2ti7dy979+7lmWeeITIykhtvvJGFCxeSlJTkua9CZLB1tUPtfsCaYXaNj2zq2pfQ8RdAxcsk1G3CNE0Mw7A1T1FNE5O6toMBiVMutTXLcJecPRP3CoNody0ddRUEjIy3O5LIWTujMf5///vfzJgxg2uvvZbVq1czefJk/vu//5u///3vlJWV0dnZSW1tLSUlJbS0tNDa2srGjRtZunQp3/jGN+jo6OC3v/0tmZmZ3HfffdTX1w/U1yUysGr3gemi2QihklGM9eERotG5l+I2DTIoJf/AAbvjsGPzGqKMRtqMQEZkaIXqgZQUF02BkQhAmVasliHujEaILr30UiIiIviv//ovbrrpJrKysk76/MDAQKZNm8a0adO4/fbbaW9v56233uL//u//+NWvfkVwcDA/+clP+vUFiNjiiBWqfXWGWY/AsGiKAjJI7TxA4eblZI4ZY2se1663ASiLnMlovwBbswx3hmFQHpzJ6NZSGg5shFlX2R1J5Kyd0QjRgw8+SEFBAb/4xS9OWQz1JTAwkK9+9ausXLmSlStXMnXq1DM+h4hX6O4fyutKxOkwyIj2vRlmR2qK7x6JKVhja44ul5sxh1YB4DfhCluz+IrW7sZqZ+U2m5OI9M8ZjRD9z//8j8cuPG+emh1lCDtihlla1AgC/Zw2B7LXqAkXQfHLZDRuorXDRXCAPf89du3eyWTjIC4Mks79si0ZfE1Q6jQohphGNVbL0OZ784RFPOGIPcx8eYZZj/hz5tOFk7FGKdu227fZa+3GNwE4GJyDMyzGthy+JCnbGh2MdVfR2VhjcxqRs9fvgmjRokUsWrSI/Pz8Uz73ueeeY9GiRf29pIi9OtvgkNU8bO1h5rszzHoYI0ZxMGQKAA2b/25bjsgSa0+1pvTLbMvga9ISEyg0rdllZXlqrJahq98F0QMPPMCDDz7IzJkzee+990763D/+8Y88+OCD/b2kiL1q88F002SEUsVIxvlwQ/WR2scuACCh/N+2XL/+cA0TOqwFAhNmXm1LBl/kcBiUBWcCUHdAK1bL0OWRW2ZBQUHU1dXxhS98gYcfftgTpxTxXlU9t8usPcw0QmRJnvVVACZ05VFVUTzo1y9Y9zr+hosCRwpx6RMG/fq+rDXGaqx2VGy1OYnI2fNIQZSbm8tLL72Ev78/P/rRj7jhhhtob2/3xKlFvE+11Tya15WEw4DRMb49w6zHyIQM9vmNxWGYFK17ffAD7F4GQHHsRYN/bR8XnDoNgOiG3TYnETl7Hmuqvvbaa/noo49ISkripZde4vzzz6esrMxTpxfxHlWfbdmRGjmCIH/fnmF2pIqESwAI2vevQb1ue1sLYxvWATBqmmaXDbak7FkAJLjL6Wg6bHMakbPj0Vlm06ZNY9OmTcydO5cNGzYwY8YM1q/vf5Pd0qVLycjIICgoiNzcXFavXn3C53700UfMnTuXqKgogoODGT9+PL/97W/7nUGkV/VnizKO8+EtO/oSMdUqRsY1b8Td1jho192x5p+E0EY1o5iQe8GgXVcsKUlJlGDN6itVY7UMUR6fdh8TE8MHH3zAd77zHcrLy7nooot45plnzvp8r776KnfddRf3338/mzdvZt68eSxYsICioqI+nx8SEsJ3v/tdVq1aRV5eHj/+8Y/58Y9/zFNPPXXWGUR6dbbCoYMA5Ls15f5Y4yefS5EZRyCdlGz856Bdt3XbPwAoirkQh1MjdoPNMAzKgrobq/dvtDmNyNkZkHWI/Pz8+P3vf8/jjz+O2+3m1ltv5fvf/z5dXV1nfK5HHnmEm2++mVtuuYXs7GyWLFlCSkoKTzzxRJ/Pnzp1Kt/4xjeYOHEi6enpfPOb3+Syyy476aiSyGmr2QuYNBphVBOhGWbH8PdzkhdxPgCt2/8xKNdsae8gs87aaHrUtKsG5ZpyvJbonsbqLfYGETlLA7ow43/+53/y/vvvEx0dzeOPP84nn3xyRq/v6Ohg06ZNzJ8//6jj8+fPZ+3atad1js2bN7N27VouuODEw+jt7e00NDQc9RDpU/UewFqQUTPM+maOvxyApKpV4Ooc8OttWPtvYo3DNBNMxvTPD/j1pG8jUnMBiFJjtQxRA75S9bx589iwYQPnnHMOpmme0WtrampwuVzExcUddTwuLo6KioqTvjY5OZnAwECmT5/OnXfeyS233HLC5y5evJiIiIjeR0pKyhnlFB/SvUL1rq5EDAPGxGiE6FjnzJ5PjRlOqNlE1Y4PB/x6TVuskaiSqLkY/kEDfj3pW2J3Y3Wiq5T25jp7w4ichX4XRG63m1WrVp30Oampqaxdu5YPP/yQDz744IyvYRjGUR+bpnncsWOtXr2ajRs38vvf/54lS5bw8ssvn/C59913H/X19b2P4uLBX0NFhogjRohSRo2wbc8ub5YwKpQdIbMBKF3/twG9Vn1LJ5l1KwEIn3LlgF5LTi4pOYUKonAYJiV5Z3Y3QMQbnNHmrv0RFBR00ttWfYmOjsbpdB43GlRVVXXcqNGxMjIyAJg0aRKVlZU88MADfOMb3+jzuYGBgQQGBp5RNvFR3SNE+8xENVSfROCkK+Djd0ms+Dem243hGJjB6LXrP2KBUUoXThKmf2lAriGnxzAMSoMyiW9bZzVWT59/6heJeBGv3tw1ICCA3Nxcli9fftTx5cuXM2fOnNM+j2maWihS+q+rvXcPs3x3MmPVUH1C55x/FS1mIHFmDTs//WjAruO36Y8AFEWdB8EjB+w6cnpaonMAMMq32BtE5CycUUF0+eWX8/HHH/f7os3Nzfzyl79k6dKlp3zuwoULefrpp3nmmWfIy8vj7rvvpqioiNtvvx2wbnfdeOONvc9//PHHeeutt8jPzyc/P59nn32Whx56iG9+85v9zi0+rnY/mG6ajRCqGEmmGqpPaERIGPsjrF3QKz4emNtm1dWVzGmy9k8MmffdAbmGnJmeFasjG/NsTiJy5s7oltnq1auZM2cOF110ETfddBNXXXUVYWGn/0th8+bNvPjiizz33HMcPnyYhx566JSvueaaa6itrWXRokWUl5eTk5PDsmXLSEtLA6C8vPyoNYncbjf33XcfBw8exM/PjzFjxvDLX/6S22677Uy+VJHj9d4u697DTCNEJzVi0pWwZhWjq5bT2t5JcKC/R89f8P5TzDDaKXSmkXbOpR49t5ydxAmzYS2kdBXT1txAUEi43ZFETpthnsHUr+rqah544AGefvppurq6CAwM5LzzzuPcc88lNzeXhIQEIiMjCQwMpK6ujkOHDpGXl8fGjRv56KOP2L9/P6Zpkp2dzeLFi/nSl7zznn9DQwMRERHU19cTHq5/0NLtw8Ww8pe80nUh93Z9h50PXkZI4KC14Q057pY6Wn89nhBaWTdzKbMXXO/Bk7uo+PkE4l0VfDT+x5x37Q89d245a6ZpUvNgBjEcJv+LrzFu+ufsjiQ+pj+/v8/op3lMTAyPP/4499xzD7///e95/vnnef/993n//fdPOuurZ1bYxRdfzHe+8x2uvvpqHAPUZCkyYKo/2+U+aWSwiqFTcIwYSV7SV5le+idGbVkKHiyIaja/RbyrgjozhHGXfttj55X+MQyD4uAsYlrXU7fvE1BBJEPIWf1Ez8jI4Fe/+hU///nP+fDDD1m1ahVr166lsLCQmpoa2traiIyMJDY2lilTpnDeeedx6aWX9t7mEhmSuqfc7zeTyNTtstOSMH8hHc+8xPj2HdTkrSY6e55Hztuy2uo/XBW6gC9FRXnknOIZLVGToGS9VqyWIadff+L6+flx6aWXcumlun8vw5yrC2r3AZDvTuIL2tT1tCSljeaDEZdwcet7NLz/G48URE0lO0it+xiXaRA0R72B3iY4bTqU/IGYhl12RxE5I7pvJXI6Dh8EdydtRhBlRDFWaxCdtrZz78RtGoyuXYlZ1f9tHfb98xEA1vrP5JLZM/p9PvGspAnWopzJrhLamursDSNyBlQQiZyO7v6hAyRh4tCijGdg3uy5/JvpABx6/+F+netwbTWZ5f8EwH/Of+J0nHzFehl8cYmpvStWF+1ab3cckdPmsYKovb2d559/nuuuu47p06eTlZXF9OnTue6663juuedoa2vz1KVEBl93QZTXlQjAON0yO21hQf7sSP8WABH5r0ND2Vmfa9PfH2OE0c5BZzrnXuCds1R9nWEYlAaPB6Bh/wab04icPo8URGvXriU7O5tvf/vbvPLKK3z66afk5+fz6aef8sorr3DzzTeTnZ3NmjVrPHE5kcHXs4eZO4nEiCBCNcPsjMy5YAEfu8fjZ3ZRtfy3Z3WOqvpmsgpfAaBt2i04nBrg9latMZMA1FgtQ0q/f6Ls3LmTSy+9lIKCAuLi4vjxj3/Miy++yPvvv89LL73E//zP/5CQkEBhYSHz589nx44dnsgtMriOWJRxrEaHztjM0VFsSb0JgJDtf6Kz+fAZn2P3S/eSYlTRaIQxXlPtvdqIdKu3K0YrVssQ0u+C6Mc//jGtra1885vfpLCwkEWLFvGNb3yDiy++mGuvvZYHH3yQgwcPcsMNN9Da2spPfvITT+QWGTxuF9TkA9YaROofOjtfveY/2EcKIbSy6W+/OaPX1m56k/MrXwCgbO7/YgSEDERE8ZCUiVZjdYq7lKb6QzanETk9/S6IVq1aRXh4OE899RT+/n0vze/v78+TTz5JeHg4K1as6O8lRQZXXSF0tdGBP8VmrAqisxQVFkzd1P8EYPKBpynf+u/Te2Htfka8fScA/wq5ksxLvjVACcVTYuKSKDNiASjcsdbmNCKnp98FUUdHB1lZWQQFBZ30eUFBQWRlZdHZ2dnfS4oMruq9ABSQhBsHWfG6ZXa2cr/4HbYFTWeE0c6oN6/DLDhFX2FHC+0vXU+wu4mN7kxivvLrk66KL96jIqSnsfoTm5OInJ5+F0TZ2dmUlJSc1nOLi4uZOHFify8pMrh6Zpi5NMOsvwynP5Hf/gtrzMkEmW10/elqKFzX95NNk0N/+S6BtXlUm+H8OflBpo+JH9zActY646YA4F+51d4gIqep3wXRXXfdRXl5OY8++uhJn/fYY49RUVHBXXfd1d9LigyuI2aYpUQGa4ZZPyXHRrH3oidZ7crB39WK+89XQ9HHRz/J7WLbGw8Rue81XKbBr0Pv5Udfv8iewHJWwkdbjdXxzWqslqGh3z/Zr7vuOkpLS/mv//ovVq5cyR133EF2djaxsbFUV1eTl5fH0qVLefvtt/n1r3/Ntdde64ncIoPniE1dszQ65BE3zBvPtdsfxFH1E+ayk7bnrqIm+0YSzUqMmj24qvcx2ewA4I3IW/jp7bepEB1i0nLmwHJIppLKynLi4hLsjiRyUoZpmmZ/TuB0OvsfwjDo6urq93k8paGhgYiICOrr6wkPD7c7jtjJNOEXSdDZzCXtv+HzF57PDy8bb3eqYSG/spE7n1/DA40PMsd5/L5X7aY/2+OuZOptf8CpNYeGpNJF40lyl7Nh3jPMuORqu+OID+jP7+9+/8nVz3rKY+cQGRD1JdDZTBdOCs04MjVC5DHj4sJ4557L2JQ/kbXv/ZSK2kPkdSawz0yiyEji9qsu4msz0u2OKf1QEzaBpPpymg9uAFQQiXfrd0Hkdrs9kUPEO9VY/UMFZgJd+DE+XiOGnuRwGMzISoGsZ2jvcjFidzWt+6r57tRkctNG2R1P+smdMBXq/01wzTa7o4ickm7Ki5xMd0P1Hnci/k6DjGgtCDhQAv2cfD4nns/naCbZcBGZeS7shpTWPbjcpjbjFa+mG/MiJ9O7ZUcyo6NDCfDTPxmR05WcPQu3aZBo1FBQWGB3HJGT0k93kZM5Ysq9FmQUOTPO4AjK/ZIBKN11gvWmRLyECiKREzHNozZ1VUEkcuYOj5wAQHvRJpuTiJycCiKRE2mqhLZ6XDg4aMZrDSKRs+BMmgZA6KHtNicROTkVRCIn0n27rMiMpZ0AjRCJnIWY8bMAyOjYS2uHy+Y0IiemgkjkRHpul7mTCAlwkjQy2OZAIkNP1JjpuHAQbxxmz758u+OInJAKIpET6S6I9ppJZMaH4dCUYZEzZgSGUuGfBkBV3hqb04icmAoikRPpnWGWrP4hkX6oj5oMgFm60eYkIiemgkikL6YJVdYu3flmsvqHRPohIO1cAKLq1Fgt3ksFkUhfmmug9RBuDPabCRohEumHhInnAZDl2kd1fYvNaUT6poJIpC/d/UPFZgxtBGqESKQfQpJyaCWQMKOVfbs+tTuOSJ9UEIn0paeh2p1MdGgAUaGBNgcSGcKcfpSNGA9A/b71NocR6ZsKIpG+aIVqEY9qi5sKgH+FVqwW76SCSKQvR+5hFhducxiRoS9i7GwAEpt20eVy25xG5HgqiET60j3DbK+ZTFZ8qM1hRIa+nsbqcRSxp6TK5jQix1NBJHKs5hpoqQFgv5lIVrxGiET6yxmRxGFnJH6Gm8LtWqBRvI8KIpFjdd8uK3bH0EoQ42I1QiTSb4bBoZHWAo1tBRtsDiNyPBVEIseq/ux2WWrkCEIC/WwOJDI8+KXOACD80FZM07Q5jcjRVBCJHKunodpMIlMLMop4TFz2XADGu/ZSWtdqcxqRo6kgEjnWEVPux2vKvYjHBKXm4sYg2ahhx569dscROYoKIpFjVX22KOP4BBVEIh4TFE5NUDoAtXvW2ZtF5BgqiESO1HIImq0pwfvNRCYmRtgcSGR4aY+fBoCzXFt4iHdRQSRypO7+oRIzGiMwjLTIETYHEhleIsbOAiClZSeNbZ02pxH5jAoikSN1zzDLdyeRnRCGw2HYHEhkeAnvXrF6knGAzYWHbE4j8hkVRCJH6p1hlqzbZSIDISabdiOIcKOVA7s3251GpJcKIpEjdc8wyzeTmJCoFapFPM7pR93ICQC0H/zY5jAin1FBJHIEs3uEaJ87iYkqiEQGRM8CjRGHt2ujV/EaQ6IgWrp0KRkZGQQFBZGbm8vq1atP+NzXX3+dSy+9lJiYGMLDw5k9ezbvvvvuIKaVIau1DqOxHIACRzLjYjXlXmQgjBo3B4AcM5+88kab04hYvL4gevXVV7nrrru4//772bx5M/PmzWPBggUUFRX1+fxVq1Zx6aWXsmzZMjZt2sRFF13EFVdcwebNulctp9A9OlRmRpIYF0eAn9f/8xAZkhzJuQCMN4rYfKDU5jQiFq//if/II49w8803c8stt5Cdnc2SJUtISUnhiSee6PP5S5Ys4Uc/+hEzZsxg3Lhx/OIXv2DcuHG89dZbg5xchpyeFap1u0xkYEUk0xwQjZ/hpnav+ojEO3h1QdTR0cGmTZuYP3/+Ucfnz5/P2rVrT+scbrebxsZGIiMjT/ic9vZ2GhoajnqID+ouiPaayeQkaYaZyIAxDNrirT6iwPIN2uhVvIJXF0Q1NTW4XC7i4uKOOh4XF0dFRcVpnePhhx+mubmZr3/96yd8zuLFi4mIiOh9pKSk9Cu3DFG9M8ySNUIkMsDCMs8DYHzHTm30Kl7BqwuiHoZx9OJ4pmked6wvL7/8Mg888ACvvvoqsbGxJ3zefffdR319fe+juLi435ll6HFVHbmpqwoikYEUkGEt0Jjr2Mumglqb04iAn90BTiY6Ohqn03ncaFBVVdVxo0bHevXVV7n55pv561//yuc+97mTPjcwMJDAwMB+55UhrK0eZ2MZAB2R4wgJ9Op/GiJDX/xkOhxBRLhbKNz9KUzVyLzYy6tHiAICAsjNzWX58uVHHV++fDlz5sw54etefvllvvWtb/HSSy/xhS98YaBjynBQvReACnMU6UlJNocR8QFOfxqjzgHAVbje5jAiXl4QASxcuJCnn36aZ555hry8PO6++26Kioq4/fbbAet214033tj7/Jdffpkbb7yRhx9+mFmzZlFRUUFFRQX19fV2fQkyFByxh5n6h0QGR8jYuQCkNm+nqqHN5jTi67y+ILrmmmtYsmQJixYtYsqUKaxatYply5aRlpYGQHl5+VFrEj355JN0dXVx5513kpCQ0Pv4wQ9+YNeXIENB5S4A9popKohEBknQaKsgmm7sYd0B9RGJvYZEo8Qdd9zBHXfc0efnnnvuuaM+XrFixcAHkmGnq2InfsBuM4Uva1NXkcGRMgMTgzRHFX/avZcrp+h2tdjH60eIRAaDWbkTgNoRY4gMCbA5jYiPCIqgeWQWAO0HTm9tOZGBooJIpKka/7Za3KZBUOJEu9OI+JTA7un3aS3bKTncYnMa8WUqiESqrP6hIjOWccknX85BRDzLP8OaMTzdsZd1+9VHJPZRQSTSXRDtUUO1yOBLmQnARKOAjfna6FXso4JIfJ6rYgdgNVRP1B5mIoNrZCrtwXH4Gy4aD3ysfc3ENiqIxOe1l1oFUal/OokRQTanEfExhoFfutVHlNGyg4Ja9RGJPVQQiW9zu/E/tAcAM3bCae2RJyKe5UyzCqLpjj3qIxLbqCAS31ZXiL+rlXbTn8jUbLvTiPimVKuPKNeRz7p9VTaHEV+lgkh8W3dD9T4zkZzkKJvDiPiouEm4/EYQbrRQdWCL+ojEFiqIxKd1llsLMu4xU5iWNsrmNCI+yumHkTwDgLFtO8mvarI5kPgiFUTi0xoKtwJQ6p+hhmoRGznSZgGQ69jL2n01NqcRX6SCSHyaUW3dMjNjs9VQLWKn7vWIpht7WKvGarGBCiLxXV3tRDQXABCZMdXeLCK+LnkGpuEg1VHNgQP7cLnVRySDSwWR+CyzZi9O3DSYI8gcl2V3HBHfFhQOcZMAmNCxjbzyBpsDia9RQSQ+63CB1T+0x0xhUvJIe8OICMbo8wGY49jJ2v3qI5LBpYJIfNahA5sBqA4eQ3CA0+Y0IkLGBYBVEK3OV0Ekg0sFkfgsd6XVUO2KmWBzEhEBIHUWpsOPVEc1JQd209zeZXci8SEqiMRnjWzMt96mT7Y5iYgAEBgGidMAmM4O1mj6vQwiFUTik9qbDhPrrgYgPXu6zWlEpIeRYfURzXbs4sM91TanEV+igkh8UkHeRgAqiCI5MdHmNCLSK+OzxuoVuyu1jYcMGhVE4pOq92+x3gaP0YKMIt4k5VxMZwDxxmGCGgvYXdFodyLxESqIxCe5yncA0Bk13uYkInIU/2CM7lWr5zh28sHuKpsDia9QQSQ+KbxhLwBhqWqoFvE6vX1EO1mxRwWRDA4VROJzKutbyXAXApA0Xg3VIl6nuyCa5cjj08Ja6ls6bQ4kvkAFkficXXv3MNJoxoWDEQnZdscRkWMlTgP/EUQbDYylhJX5mm0mA08FkficynxrherawBTwD7I5jYgcxy8AUmcDPbPNdNtMBp4KIvE5nWXbAGiPVEO1iNfqnX6/ixV7q3G5Nf1eBpYKIvEpnS43oxp2AxCcNs3mNCJyQhnzAJjpzKOuuY1tJXX25pFhTwWR+JS88gayOQhA5JgZNqcRkROKPwcCIwinhYlGAR/qtpkMMBVE4lO2HyhljKMcAEfiOTanEZETcvpB+lzA6iPSNh4y0FQQiU+pzLe27GgMiIWQaJvTiMhJHbGv2fbSeqoa22wOJMOZCiLxGW63iavEmmHWFacFGUW8XnpPH9Ee/OlihUaJZACpIBKfsbuikYyu/QCEZWhBRhGvFzsBRkQTTBvTjHze21lpdyIZxlQQic9Yu7+GiYbVUO2XNMXeMCJyag4HjP0cABc5N7NqbzX1rVq1WgaGCiLxGZ/sLWWcUWp9EK9bZiJDQuZ8AD4fsJUOl5v3d2mUSAaGCiLxCR1dbuoKt+JnuOkKioLwRLsjicjpGHMJGE7S3cUkG1W8vb3c7kQyTKkgEp+wtaSOsa4DADiTpoBh2BtIRE5P8EhInQXAxY7NrM6v1mavMiBUEIlPWLOvhpzu/iEjQesPiQwpmZcBcEXwdjpdJu/uqrA5kAxHKojEJ6zZV8NER4H1gQoikaFlnFUQTXXtIJg23t6m22bieSqIZNhrbu9ie1EN441i60CCGqpFhpSYLBiZip/ZwVzHTtbsq+Fwc4fdqWSYUUEkw94nBYdIN0sJNDoxA8NhVIbdkUTkTBhG7yjRV0J30uU2eU+3zcTDVBDJsLcmv4YcxxH9Q2qoFhl6uvuI5hmbAZN/6raZeJgKIhn21uyvZaJRYH2g/iGRoSl9HviPIKy9kmyjiLX7a6ltarc7lQwjKohkWKttaievvOGzhmotyCgyNPkHQcYFAFw7Mg+X2+RdbeUhHqSCSIa1tftrMXAzyVFoHdAIkcjQ1b1q9WX+WwB4e3uZjWFkuBkSBdHSpUvJyMggKCiI3NxcVq9efcLnlpeXc91115GVlYXD4eCuu+4avKDiddburyHDqCCYNvALhuhxdkcSkbM1ziqI4hq2M4oG1u2vpbpRt83EM7y+IHr11Ve56667uP/++9m8eTPz5s1jwYIFFBUV9fn89vZ2YmJiuP/++znnHI0G+Lo1+2rJ6ekfip8EDqeteUSkHyKSIS4HA5MbovNxm/DODjVXi2d4fUH0yCOPcPPNN3PLLbeQnZ3NkiVLSElJ4Yknnujz+enp6Tz66KPceOONREREDHJa8SbFh1ooOtRCjrPAOqD1h0SGvu7ZZleG7ADgLxtL7Ewjw4hXF0QdHR1s2rSJ+fPnH3V8/vz5rF271mPXaW9vp6Gh4aiHDH1r9tUAMCu4+wem+odEhr7u9Ygy6tYT7DTZXlrP9pJ6m0PJcODVBVFNTQ0ul4u4uLijjsfFxVFR4blFuRYvXkxERETvIyUlxWPnFvt8sLsKMMl0W5u6qiASGQaSp0NwJI72eu7MsG6Xvbyh7xYKkTPh1QVRD+OYhfRM0zzuWH/cd9991NfX9z6Ki4s9dm6xR3N7Fyv3VpNs1BDU1QAOf4jJtjuWiPSXwwkTrgTg64EfA/D3zaU0t3fZmUqGAa8uiKKjo3E6nceNBlVVVR03atQfgYGBhIeHH/WQoe3DPVW0d7m5KLx7Wm7cBPALsDeUiHjGpK8BEFPyLplR/jR3uHhrq6bgS/94dUEUEBBAbm4uy5cvP+r48uXLmTNnjk2pZCj413ariP5CZKl1IGGKfWFExLNSZ0N4EkZ7A/eMttYYe/kT3TaT/vHqgghg4cKFPP300zzzzDPk5eVx9913U1RUxO233w5Yt7tuvPHGo16zZcsWtmzZQlNTE9XV1WzZsoVdu3bZEV9s0Nrh4sM9VQBMcuVZB1Nn25hIRDzK4YCcrwBwQfsq/J0GW0vq2VGq5mo5e352BziVa665htraWhYtWkR5eTk5OTksW7aMtLQ0wFqI8dg1iaZOndr7/qZNm3jppZdIS0ujoKBgMKOLTVburaalw0VGhIMRNdusg6mz7A0lIp416Wuw9v8IPPAeV47/Dn/b2cArG4r4WdIku5PJEOX1I0QAd9xxBwUFBbS3t7Np0ybOP//83s8999xzrFix4qjnm6Z53EPFkO/oWajtW+mHMdydEBoHo9LtDSUinhU/GaIzoauN2+KskeA3N5fR0qHmajk7Q6IgEjld7V0u/p1n3S67JPSgdTB1FnhwVqKIeAHDgJyvAjC28h3So0bQ1N7FP7dq5Wo5OyqIZFhZs6+GxvYu4sIDSWrYah1M0e0ykWFpklUQGQdW8K0poQC8pOZqOUsqiGRY6ZldtmBCLEaxtUaJ+odEhqmoMZA4DUwXXw3agL/TYEtxHbvKtNuAnDkVRDJsdLrcvLerEoAvpzZDWx34h1i9BiIyPHWvSRS6903mT4gH4Nk1B+1MJEOUCiIZNtYfqKW+tZPo0IDPptsn54LT6ydTisjZmvhlwIDij/nPKda/9Tc2l1JyuMXeXDLkqCCSYWNZ9+2ySyfE4+i9Xab1h0SGtfAEyJgHQM6h95kzJoout8lTqw7YHEyGGhVEMiy43Cbv7bQKossnxUPROusT6h8SGf66b5ux/W9896KxALyyoZiqxjYbQ8lQo4JIhoVPDh6itrmDiGB/ZsV0QF0hGA5InmF3NBEZaNlXgDMAqnYye0QxU1NH0tHl5o+r1Uskp08FkQwLb2629iy7dEIc/qWfWAfjciAwzMZUIjIogkdB9pcAMD5+sneU6M/rC6lr6bAzmQwhKohkcJRshF+Pge1/8/ip61s6+ftWqyC6ZkYKFK23PqHbZSK+Y/Yd1tvtf+PiJDfZCeE0d7h4bm2BrbFk6FBBJINj19+hpQY2PuvxU/91UzFtnW7Gx4cxPW2UCiIRX5SUay3C6u7E2PhH7rxoDADPrimgqV3becipqSCSwVFXaL0t3QSuTo+d1u02+dN669w3zk7H6GiCiu4NXbVCtYhv6Rkl2vBHFmSNZHRMCPWtnbzY/TNC5GRUEMngONz9A6mr9bOCxQNW5VdTWNtCWJAfV01NtG7NmW6ISIWIJI9dR0SGgPFfhJGp0HoI5/ZX+c8LrFGiP6w+SFuny+Zw4u1UEMngqDviL7TiTzx22j+ts877tdwURgT4gbbrEPFdDifMvN16f/0TXDUlkaSRwdQ0tfNnjRLJKaggkoHX1gCthz/7uKdo6afiQy18sMfa2f6G2WnWwd71h2Z65BoiMsRMvQECwqBmD/4HP+T7l1gzzh59P5/qxnabw4k3U0EkA6/umL/Mij4G0+z3af/8cSGmCfPGRZMRHQKuLuuWGWiFahFfFRQO02603l//OF/NTWFycgSN7V386p3d9mYTr6aCSAZeT/9QTDYYTmgsg/qSfp2yrdPFXzYUA1YzNQCVO6CjCQIjrGuJiG+aeZu1MOv+D3DW7ObBL00E4G+bSvi06PApXiy+SgWRDLyeEaLY8ZDQvfN8P2+b/XNbOYdbOkkaGczF42OtgwWrrbcp54JD/9cW8Vmj0qwGa4D1S5maOoqv5iYD8MA/duJ293+EWoYf/daQgdczQjQyDVK6e3v62Vj9p3UFAFw/KxWnw7AO7n7bejtufr/OLSLDwOw7rbdbX4XGCv7r8+MJC/RjW0k9f9lYbG828UoqiGTg9YwQjTqyIFp/1qfbWlzH1pJ6ApwOrpmeYh1sqvpsQcbxl/cjrIgMCykzrYerHd77MTFhgfzgc+MA+PW7e6hv8dx6aDI8qCCSgdfXCFHFDmhvOqvTLXl/LwBfnJxAVGigdXDPMsCExKkQkdzPwCIy5BkGLPgVYMD2v8LBVdw0J51xsaEcau7gt90/RwZE8Qb4+CmPTB6RwaOCSAaWaR4xQpRuLZYYngymC8o+PePTfZRfw4d7qvFzGHzvknGffSLvn9bbnr4BEZHEqTDjFuv9t/8f/mYXD3Q3WL+wroAdpfWev+ahg/Cnq+BfP/ysr1GGBBVEMrCaa6CzBTA+G7lJOdd6e4aN1S63yc+X5QHWukMZ0SHWJ9oa4OBK6/3sKzwQWkSGjYt/DCExULMX1v2OuWOjuXxSPG4TfvDKZlo6PLjPmasL3rjNmu0KULbFc+eWAaeCSAZWz+hQeCL4dd/e6llFuujMCqI3NpeSV95AWJAf37/4iNGh/PfA1QFR4yAmywOhRWTYCB4J839mvb/qN1BXxP9emUNceCD7q5v5yd93eu5aa3579B96lTs8d24ZcCqIZGAdLrDejkz77FjPCFHJJ+B2n9ZpWjtcPPTuHgC+d/FYRoUEfPbJ3d23y7J1u0xE+jD5Gkiba41Wv3MfUaGBPHrtVByGtTbR65/2b100AEo/hRW/tN6f+GXrbYUKoqFEBZEMrJ4RopGpnx2LywH/EdBWbw1jn4anVx+goqGN5FHBny3ECNDZBvnLrffH63aZiPTBMOALD4PDz/oDau+7zBodxfe7+xB//OYO9lef3SQPADpa4PXvgLsLJlwJly6yjtfsgS5tFzJUqCCSgXX4iCn3PZz+kJRrvX8afURVjW08sXI/AD/6/HiC/J2fffLgSut+fVii1UApItKX2GyYdYf1/rIfQls937t4HLNGR9LS4eK7L22mrdN1dude/hOozYfQePjiEohIgaAIq0A6zT/6xH4qiGRg1R0x5f5IvesRnbogWvJ+Pi0dLqakjOSKyQlHfzLvLevt+Mu1OrWInNwF/2XNcq0rhD99BWdHI49eO5XIkADyyhv4RfekjTOS/z5s+IP1/lVLYUSkNSIVl2Md022zIUO/QWRg9TVCBKddEO2paOSVT4oAuP8L2RiG8dkn3S7Y8y/rfU23F5FTCQyF616B4FFQuhH+fDVxgZ08/PVzAHhhXeGZrWK99z34603W++feBmMv+exzPQWRGquHDBVEMnDcrs82cT12hCh5uvW2dh801/b58paOLr738qe4Tfj8xHhmpEce/YSi9dBSA0EjIf08z2YXkeEpfhLc+Hfr50bJJ/Dnr3JRejB3XjQGgHtf28ay7eWnPs8nf4CXr7Fu2WecD5c+eMx1ekaItns2vwwYFUQycBrKwN0JDn9r2v2RRkRCdPcU+ZLj9zUzTZMfv7mDvZVNxIQFsuiqicefv2d2Webnrb4kEZHTkXAO3Pim1edTvB5e/Dr3XJjEtTNSetcnWrGnqu/Xul3w7v2w7B4w3TDlm3D9a+AffPTz4rp/ZlXu0IrVQ4QKIhk4Pf1DEcngcB7/+dTu22aFa4771Ksbinn901IcBvzfN6YSGxZ09BNM87PVqTXdXkTOVOJUuOENCIyAorUYf/oKPz+nlismxdHpMrn9z5v4+MAxo9cdzfCXG2Hd76yPL/4fuPJ34Bdw/PljJ4DhgJZaaKoc+K9H+k0FkQycE/UP9RhzsfV285+hvbH38I7Sen7yD2uxtHsuy2LW6KjjX1uxHeqLwC8Yxlxy/OdFRE4lKbe7KAqHkk9w/vkqHqu8kf+L+yfxXaXc8vwn7N26BtY9Di9dCw9nWyPTzkC4+o9w/j1WA3Vf/IMhaqz1vhqrhwQ/uwPIMHaiGWY9sr9k/cCo3Qcbnobz7qahrZM7X/qUji43l4yP5fbzx/T92nWPW2/HXgIBIzyfXUR8Q3Iu3PoBrH8CdvwNo6GUK3iJKwJfotEMJuyN1qOfH5YAX3vusxX3TyYux5p2X7kdxn1uQOKL52iESAbOqUaIHE6Yd4/1/tr/w2xv4od/3UphbQtJI4N5+Ovn4HD08ddX8QbY9or1/ryFns8tIr4lehx88RH4f3vhq8/C2EsxDQdhRitNZhAr3VPYlv3/4NYP4e6dp1cMwRF9RB7cHkQGjEaIZOCcaoQIYNLXYOUv4XABy19YzLv75+DvNHj8+mmMHNHHfXm3G96513p/yvWfLfAoItJf/kGQ8xXI+QpGYyUth0r54YoO/pVXC5vh2yOC+O/LjdP/xRk/yXqrW2ZDgkaIZOD0jhCln/g5Tj+6zvt/AEwteYEg2vnfK3OYkjKy7+dv/6u1fkhAKFzyE4/GFRHpFRbHiLRpPH7DzN4tPp5Zc5D/eG4DdS0dp3eOnrWIavZa2wyJV1NBJAOjqx0au9fyOMkIUVunizu3j6PYHUOM0cBfpu/m2nNT+35yRzO8/4D1/ryFEBbv2cwiIsdwOAwWXprJE9dPI9jfyer8Gq58fA3rj52B1pfwRGu9I9MF1bsHPKv0jwoiGRh1xYBpbeIaEt3nUxraOrnxmU94d/chnjSvAmBywXPQ2drn8/loCTSWWQXWrDsHIrWISJ8WTErg9TvmkDwqmMLaFq59aj3/7y9bqW06yeathvHZbTP1EXk9FUQyMOoKrLcj0/qcllpY28w3nlrPJwcPERbox5du/H/WHkNNlfDpn/o4XxGsfcx6f/7/Wvf6RUQGUXZCOG9/bx7Xz0zFMOC1T0u4+OGVvPxJEW73CRZf1BYeQ4YKIhkYJ5hh1uly88SK/cz/7Sp2ljUQHRrAy9+ZxbnjEmDe3daTPvqtdcvtSMt/Al1tkD7Pmq4vImKDiBH+/PzLk3jtP+eQnRBOfWsn972+na88sZYPd1dhHrsqtbbwGDI0y0wGRh8zzLYU13Hva9vYXWEtwjhnTBS/unoyKZHd6whNvQFWPWzdFntsmjUt33RbS+U3llmrvn5+8YkXQhMRGSTTUkfx1nfn8vy6Qh55bw9biuv4j+c2kBkXyq3zRnPllCQC/BzHb+Ghn19eSwWRDIwjRojK61v5/Yr9vLC+ENOEkSP8+fEXJnD1tKSjd6/3C4QLfgT/vAsaSo4/54xbPrsfLyJiMz+ng5vPy+CLkxN4evUBXv6kmL2VTfzwb9t46L093Dg7nStz0kg2nNB62Jpocuy+juI1DPO48T1paGggIiKC+vp6wsPD7Y4zJJlPXYhRtpkn4hfxm8Kx9Nxev2JyAg98aSJRoYEneKEJFdusxmrDCQ4HOPzALwiixlkfDzEtHV1M+Mm7AOxadBkjAvr3d4gnz+fpbN56zcHI4Ilzess5BuOcw1FDWycvfVzEs2sOUtlwfLP16q+4STn3ChuS+Y7+/P7W/6vFowprm/lgdxVfKd9HBPCPQn+O7DX81Vcnn/yHqWFYO1GLiAwx4UH+3H7BGL49N4O/bynltU9L+PjAIXp+BL7w5jLWfTySmRlRzEiPZEb6qBP/cSiDbkj8ub106VIyMjIICgoiNzeX1atXn/T5K1euJDc3l6CgIEaPHs3vf//7QUrqe2qb2nl7Wzn3vb6Neb/+gAt+s4KH3tpEhNndJzR9Gn+/c67NKUVEBk+An4OvTU/hle/MZsUPL+w9nuUoYkdpA3/86CC3/3kTuT97n889spIf/W0rT68+wKq91VTUtx3fmC2DwutHiF599VXuuusuli5dyty5c3nyySdZsGABu3btIjX1+AX8Dh48yOWXX86tt97Kn//8Z9asWcMdd9xBTEwMV199tQ1fwdDX3N5FVWM7FfVtHKhpIr+yib2VjeytbKLmmDU4/J0Glye0Qw24g0bxP1fPoqWjy6bkIiL2ign7bARofvRhHr1wCp8cPMSGgkPsrWxiX5X1OFJ4kB8ZMaEkjwwmcWQQCRHBJI4MJi48kKiQQEaF+BMa6Hd0D6b0m9cXRI888gg333wzt9xyCwBLlizh3Xff5YknnmDx4sXHPf/3v/89qampLFmyBIDs7Gw2btzIQw89dMYFUUVRPs1hof3+Gk7kZH8EHPk5s4/nmqaJu/uzbtP6vNs0reNu6303Jm63SacLXG43XW6TLpebTrebjk6TdpeL9k437S43bR0uGtu7aG7voqmti6b2Lg63dFDT1EFLe98FTSCQBKRHh3BueiQzMiKZkjKSESUfwT/AcaJNXUVEfJBf3QGuTGnjyvQIIIL6lk62ltSxp7KJgpomDtQ0U3K4FXebSU0x1BTDlhOcy9/pIGKEH2FB/owIcDIiwI+Q7rfBAU4C/RwE+DkJ9HcQ6HQQ6O/Az3Dg52fg7zRwGg78nQYOh4Gf4cDhAKfDwOkAwzAwMHAaBoZB96P7fQwcRs9kOasgM3oeRxRoPe/2VbKdbh13NvVeY2PTqZ90Al5dEHV0dLBp0ybuvffeo47Pnz+ftWvX9vmadevWMX/+/KOOXXbZZfzxj3+ks7MTf3//417T3t5Oe/tnIx0NDQ0AxL94EeGBPl6BG8Cp1kBsAnZ0P46kgkhE5DOmG/5vWu+HEcD53Y9efexpfUKd3Q/pFdJ+9rcbvXqWWVlZGUlJSaxZs4Y5c+b0Hv/FL37B888/z549e457TWZmJt/61rf47//+795ja9euZe7cuZSVlZGQkHDcax544AEefPDB445X/tcowgO9sM2qzxrNOPmnj32mcczHAIbR+37Pcwx6/io4Q35B8KXHYMKVZ/pKEZHh54OfwbrHraKon8zu/zExe98/4k33HQXz6Ocfc4LT/cXf9/P6OOollURDu5u4Xx0evrPMjr1PaprmSe+d9vX8vo73uO+++1i4cGHvxw0NDaSkpBD03wUEadq9iIj018U/th4eYBzzVj7T0dAAv4o4q9d6dUEUHR2N0+mkoqLiqONVVVXExcX1+Zr4+Pg+n+/n50dUVFSfrwkMDCQwUFMfRUREfJUX3g/6TEBAALm5uSxfvvyo48uXLz/qFtqRZs+efdzz33vvPaZPn95n/5CIiIiIVxdEAAsXLuTpp5/mmWeeIS8vj7vvvpuioiJuv/12wLrddeONN/Y+//bbb6ewsJCFCxeSl5fHM888wx//+Efuueceu74EERER8XJefcsM4JprrqG2tpZFixZRXl5OTk4Oy5YtIy3NmsFUXl5OUVFR7/MzMjJYtmwZd999N48//jiJiYk89thjWoNIRERETsirZ5nZRXuZiYiIDD39+f3t9bfMRERERAaaCiIRERHxeSqIRERExOepIBIRERGfp4JIREREfJ4KIhEREfF5KohERETE56kgEhEREZ+ngkhERER8ntdv3WGHnsW7GxoabE4iIiIip6vn9/bZbMKhgqgPtbW1AKSkpNicRERERM5UbW0tERERZ/QaFUR9iIyMBKCoqOiM/4OK5zU0NJCSkkJxcbH2lrOZvhfeQ98L76Hvhfeor68nNTW19/f4mVBB1AeHw2qtioiI0P+5vUh4eLi+H15C3wvvoe+F99D3wnv0/B4/o9cMQA4RERGRIUUFkYiIiPg8FUR9CAwM5Kc//SmBgYF2RxH0/fAm+l54D30vvIe+F96jP98LwzybuWkiIiIiw4hGiERERMTnqSASERERn6eCSERERHyeCiIRERHxeSqI+rB06VIyMjIICgoiNzeX1atX2x3JJ61atYorrriCxMREDMPgzTfftDuST1q8eDEzZswgLCyM2NhYrrrqKvbs2WN3LJ/1xBNPMHny5N5FAGfPns2//vUvu2P5vMWLF2MYBnfddZfdUXzSAw88gGEYRz3i4+PP6BwqiI7x6quvctddd3H//fezefNm5s2bx4IFCygqKrI7ms9pbm7mnHPO4Xe/+53dUXzaypUrufPOO1m/fj3Lly+nq6uL+fPn09zcbHc0n5ScnMwvf/lLNm7cyMaNG7n44ou58sor2blzp93RfNaGDRt46qmnmDx5st1RfNrEiRMpLy/vfWzfvv2MXq9p98eYOXMm06ZN44knnug9lp2dzVVXXcXixYttTObbDMPgjTfe4KqrrrI7is+rrq4mNjaWlStXcv7559sdR7D2X/zNb37DzTffbHcUn9PU1MS0adNYunQpP/vZz5gyZQpLliyxO5bPeeCBB3jzzTfZsmXLWZ9DI0RH6OjoYNOmTcyfP/+o4/Pnz2ft2rU2pRLxLvX19QBntXmieJbL5eKVV16hubmZ2bNn2x3HJ91555184Qtf4HOf+5zdUXxefn4+iYmJZGRkcO2113LgwIEzer02dz1CTU0NLpeLuLi4o47HxcVRUVFhUyoR72GaJgsXLuS8884jJyfH7jg+a/v27cyePZu2tjZCQ0N54403mDBhgt2xfM4rr7zCp59+yoYNG+yO4vNmzpzJCy+8QGZmJpWVlfzsZz9jzpw57Ny5k6ioqNM6hwqiPhiGcdTHpmked0zEF333u99l27ZtfPTRR3ZH8WlZWVls2bKFuro6XnvtNW666SZWrlypomgQFRcX84Mf/ID33nuPoKAgu+P4vAULFvS+P2nSJGbPns2YMWN4/vnnWbhw4WmdQwXREaKjo3E6nceNBlVVVR03aiTia773ve/xj3/8g1WrVpGcnGx3HJ8WEBDA2LFjAZg+fTobNmzg0Ucf5cknn7Q5me/YtGkTVVVV5Obm9h5zuVysWrWK3/3ud7S3t+N0Om1M6NtCQkKYNGkS+fn5p/0a9RAdISAggNzcXJYvX37U8eXLlzNnzhybUonYyzRNvvvd7/L666/zwQcfkJGRYXckOYZpmrS3t9sdw6dccsklbN++nS1btvQ+pk+fzvXXX8+WLVtUDNmsvb2dvLw8EhISTvs1GiE6xsKFC7nhhhuYPn06s2fP5qmnnqKoqIjbb7/d7mg+p6mpiX379vV+fPDgQbZs2UJkZCSpqak2JvMtd955Jy+99BJ///vfCQsL6x1BjYiIIDg42OZ0vue///u/WbBgASkpKTQ2NvLKK6+wYsUK3nnnHbuj+ZSwsLDj+uhCQkKIiopSf50N7rnnHq644gpSU1OpqqriZz/7GQ0NDdx0002nfQ4VRMe45pprqK2tZdGiRZSXl5OTk8OyZctIS0uzO5rP2bhxIxdddFHvxz33gW+66Saee+45m1L5np4lKC688MKjjj/77LN861vfGvxAPq6yspIbbriB8vJyIiIimDx5Mu+88w6XXnqp3dFEbFNSUsI3vvENampqiImJYdasWaxfv/6MfndrHSIRERHxeeohEhEREZ+ngkhERER8ngoiERER8XkqiERERMTnqSASERERn6eCSERERHyeCiIRERHxeSqIRERExOepIBKRYeOBBx7AMAweeOCBfp0nPT0dwzAoKCg4o9ddeOGFGIbBihUrjvtcS0sL99xzDxkZGfj7+2MYhlb6FvEi2rpDRGQQ3Hrrrbz00kuMGDGCKVOmEBgYSGZmJkBvAdffQk5Ezp4KIhERD0lNTSUrK4sRI0Ycdfzw4cO88sorjBgxgt27d5OSknLU5x988EFABZGInVQQiYh4yAsvvNDn8fz8fNxuNzk5OccVQyLiHdRDJCIywFpbWwEIDg62OYmInIgKIhHxOMMwMAwDgNdee43zzz+fkSNHHteofOjQIe6//35ycnIICQkhLCyMWbNm8Yc//AG3293nubu6uvj1r3/N+PHjCQoKIikpiVtvvZXKysoT5jFNkxdeeKE3R0BAAPHx8eTm5vKjH/2IkpKSE752/fr1LFiwgFGjRhESEsK8efP44IMP+nzusU3VBQUFGIbBhRdeCMDKlSt7/9v0NFX3/Hc68r9bz+NMm7pF5OzplpmIDJhf/epX3HvvvcTFxZGZmXnUL/idO3dy2WWXUVpaSkBAAGPHjqW9vZ1PPvmEjz/+mPfee4+//OUvRxUMLpeLr3zlK7z11lsAZGZmEhwczLPPPst7773Hl770pT5z/PCHP+Thhx8GrD6fzMxMampq2LFjB59++ilz5swhOTn5uNf985//ZOHChYSHhzNmzBj27dvHRx99xGWXXcby5ct7C50TCQoKYu7cudTX17Njxw7Cw8OZNGlS7+czMzOZO3cua9asAWDu3LnHvV5EBokpIuJhgAmYAQEB5lNPPWW63W7TNE2zs7PT7OzsNJuamswxY8aYgPn973/frK+v733tzp07zYkTJ5qA+bvf/e6o8z766KMmYI4aNcpcvXp17/GDBw+aOTk5pr+/vwmYP/3pT3s/V1VVZTocDjMiIsL86KOPjjpfa2ur+fLLL5tbt2496nhaWpoJmP7+/ubixYvNrq4u0zRNs6Ojw7z++utNwJw5c+ZxX/cFF1xgAuaHH3541PEPP/zQBMwLLrjgpP+9RMQ+umUmIgPmtttu49Zbb+0d5fHz88PPz49nnnmG/fv38+Uvf5lHH32U8PDw3tdMmDCBl156CcMweOSRR3qPm6bZO8rzs5/9jPPOO6/3c+np6Tz//PN0dnYel2H//v243W4uvvjiPkdgrr32WiZPntxn/s9//vPce++9OJ1OAPz9/VmyZAmBgYF8/PHHHD58+Cz/y4iIt1FBJCID5sYbb+zz+Ouvvw7ALbfc0ufnJ0+eTHp6OgcOHOjt78nLy6OoqIigoKA+FzScNm0as2bNOu54z6yujz/+mKKiojPK31e+6Oho0tPTAThw4MAZnU9EvJd6iERkwGRnZ/d5fPv27QD85Cc/4Re/+EWfz6mpqQGgtLSU5ORk9u7dC0BaWtpx6/wceb3169cfdSwpKYmvfe1r/PWvf2Xs2LFcdNFFXHjhhcybN49Zs2bh53fiH4Njxozp83hsbCx79uyhqanphK8VkaFFBZGIDJiQkJA+j9fX1wOwadOmU56jZ8p6T/ERExNzwufGxcX1efyFF15gwoQJPP3007z33nu89957vef60Y9+xMKFC3E4jh8wP1H+nueapnnK/CIyNOiWmYgMutDQUMBasNA0zZM+emZy9bymurr6hOetqqrq83hQUBAPPPAAJSUl5OXl8eSTT3LFFVdQW1vLD3/4w6N6lUTEN6kgEpFBN2HCBAB27Nhx2q/p2ferqKiIlpaWPp+Tl5d3yvOMHz+e73znO/zjH/9g6dKlAPzhD3847RwiMjypIBKRQfeVr3wFgMcee+y0bzuNHz+elJQUWltb+9wiY8uWLaxbt+6McvQ0YZeVlZ3R6zytZwXrntuDIjL4VBCJyKC77bbbGD16NB9++CHXX3895eXlR32+qamJv/zlLyxcuLD3mMPh6P34/vvvZ+3atb2fKyws5KabbsLf3/+4a/373//mhz/8Ibt27TruGr/5zW8Aa4aanUaPHg1YK1mLiD1UEInIoAsNDeXtt98mIyODl19+meTkZCZMmMCsWbPIyspi5MiRXHPNNUcVPQDf+973uPzyyzl06BBz584lOzubqVOnMnbsWOrq6rjtttuOu1ZjYyMPPfQQEydOJDY2lhkzZjBlyhTi4uJ48cUXiYiI4Le//e1gfel9uuaaawD44he/yLRp07jwwgu58MILqaiosDWXiC/RLDMRscX48ePZunUrS5cu5Y033iAvL48DBw6QkJDABRdcwOWXX87VV1991GucTidvvvkmDz/8MM8++ywHDhwgKiqKm266iZ///Oc88cQTx11n3rx5PPbYYyxfvpwdO3awa9cu/P39GTt2LJ///Oe5++67iY+PH6wvu0/33nsvLpeLV155hV27dtHe3g5AW1ubrblEfIlhat6oiIiI+DjdMhMRERGfp4JIREREfJ4KIhEREfF5KohERETE56kgEhEREZ+ngkhERER8ngoiERER8XkqiERERMTnqSASERERn6eCSERERHyeCiIRERHxeSqIRERExOepIBIRERGf9/8B4NA7DVsIDs8AAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# ! When this runs it uses 4th degree spline interpolator as `inside` in quantile_interpolator\n", "test = approximate(new_quants, new_locs, np.linspace(0,5,100))\n", "fig, axes = qp.plotting.plot_native(merged_norms, xlim=(0, 5))\n", "axes.plot(test[0], test[1])\n", "axes.vlines(new_locs, 0, 0.01)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Example of a single distribution made up of two well separated gaussian distributions" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [], "source": [ "# Experimenting with well separated multi-modal Gaussians.\n", "mu = np.array([0.5,2.9])\n", "sig = np.array([0.05,0.04])\n", "wt = np.array([.4,.6])\n", "\n", "distinct_norms = qp.Ensemble(qp.mixmod, data=dict(means=mu, stds=sig, weights=wt))\n", "\n", "new_quants = np.linspace(0.001, 0.999, 15)\n", "new_locs = distinct_norms.ppf(new_quants)\n" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "When running `approximate` here, the spline fit fails, and we fall back to a linear interpolation over the numerical derivative." ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "ERROR: spline interpolation failed with (array([0.4040404 , 0.45454545, 0.50505051, 0.55555556, 0.60606061,\n", " 0.65656566, 0.70707071, 0.75757576, 0.80808081, 0.85858586,\n", " 0.90909091, 0.95959596, 1.01010101, 1.06060606, 1.11111111,\n", " 1.16161616, 1.21212121, 1.26262626, 1.31313131, 1.36363636,\n", " 1.41414141, 1.46464646, 1.51515152, 1.56565657, 1.61616162,\n", " 1.66666667, 1.71717172, 1.76767677, 1.81818182, 1.86868687,\n", " 1.91919192, 1.96969697, 2.02020202, 2.07070707, 2.12121212,\n", " 2.17171717, 2.22222222, 2.27272727, 2.32323232, 2.37373737,\n", " 2.42424242, 2.47474747, 2.52525253, 2.57575758, 2.62626263,\n", " 2.67676768, 2.72727273, 2.77777778, 2.82828283, 2.87878788,\n", " 2.92929293, 2.97979798]), array([ 0.45237585, 2.09493306, 3.15589098, 1.75145882,\n", " 0.32953306, -0.56511098, -1.005467 , -1.06081189,\n", " -0.79653633, -0.27414479, 0.4487445 , 1.31839951,\n", " 2.28497444, 3.30250969, 4.32893191, 5.32605393,\n", " 6.25957483, 7.09907989, 7.81804062, 8.39381474,\n", " 8.80764619, 9.04466514, 9.09388795, 8.94821723,\n", " 8.6044418 , 8.06323667, 7.32916312, 6.4106686 ,\n", " 5.32008681, 4.07363765, 2.69142725, 1.19744795,\n", " -0.38042169, -2.01041688, -3.65688664, -5.28029373,\n", " -6.83721472, -8.28033997, -9.5584736 , -10.61653351,\n", " -11.39555141, -11.83267275, -11.8611568 , -11.41037659,\n", " -10.40581894, -8.76908445, -6.4178875 , -3.26605624,\n", " 0.77646737, 5.13744884, 4.57511727, 0.73013056]))\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# ! When this runs it uses linear interpolation of x,y in the first `except` clause in quantile_interpolator\n", "test = approximate(new_quants, new_locs, np.linspace(0,5,100))\n", "fig, axes = qp.plotting.plot_native(distinct_norms, xlim=(0, 5))\n", "axes.plot(test[0], test[1])\n", "axes.vlines(new_locs, 0, 0.01)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "qp", "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": "3.12.7" }, "orig_nbformat": 4, "vscode": { "interpreter": { "hash": "5c3e9e8e8c57812b479c84246ef042cffef7a98b6ccc136408e9cfe0d107d268" } } }, "nbformat": 4, "nbformat_minor": 2 }