{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Logistic regression: reviewing bootstrap techniques\n", "\n", "The three bootstrap schemes are: \n", "* ordinary non-parametric, \n", "* stratified non-parametric, and \n", "* parametric (Bernoulli outcomes conditional on the fitted model)." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from pathlib import Path\n", "import sys\n", "\n", "# Assumes this notebook is in /notebooks/.\n", "project_root = Path.cwd().parent\n", "src_dir = project_root / 'src'\n", "if str(src_dir) not in sys.path:\n", " sys.path.insert(0, str(src_dir))\n", "\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pandas as pd\n", "import seaborn as sns\n", "from scipy.stats import norm\n", "\n", "\n", "from irae_risk import data, logistic" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Data" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "application/vnd.microsoft.datawrangler.viewer.v0+json": { "columns": [ { "name": "index", "rawType": "int64", "type": "integer" }, { "name": "patient_id", "rawType": "int64", "type": "integer" }, { "name": "x", "rawType": "float64", "type": "float" }, { "name": "y", "rawType": "uint16", "type": "integer" } ], "ref": "60c072e3-2d98-40c6-80d2-643b56a43a26", "rows": [ [ "0", "1", "2.105301856994629", "1" ], [ "1", "2", "1.5363825559616089", "0" ], [ "2", "3", "1.2744046449661255", "0" ], [ "3", "4", "1.1879351139068604", "0" ], [ "4", "5", "1.674635887145996", "1" ], [ "5", "6", "0.9956096410751343", "0" ], [ "6", "7", "1.299513339996338", "0" ], [ "7", "8", "1.4487504959106445", "0" ], [ "8", "9", "1.413230061531067", "0" ], [ "9", "10", "0.9771649837493896", "0" ], [ "10", "11", "4.151835918426514", "1" ], [ "11", "12", "1.2182496786117554", "0" ], [ "12", "13", "1.4161512851715088", "0" ], [ "13", "14", "1.0392482280731201", "0" ], [ "14", "15", "0.9517614245414734", "0" ], [ "15", "16", "1.1691256761550903", "0" ], [ "16", "17", "1.2764477729797363", "0" ], [ "17", "18", "2.093014717102051", "1" ], [ "18", "19", "1.4033281803131104", "0" ], [ "19", "20", "1.3139079809188843", "0" ], [ "20", "21", "1.2648413181304932", "0" ], [ "21", "22", "1.0153511762619019", "0" ], [ "22", "23", "0.8774824142456055", "0" ], [ "23", "24", "1.4715447425842285", "0" ], [ "24", "25", "1.3867568969726562", "0" ], [ "25", "26", "1.485943078994751", "0" ], [ "26", "27", "1.1236064434051514", "0" ], [ "27", "28", "1.4543627500534058", "0" ], [ "28", "29", "1.4773426055908203", "0" ], [ "29", "30", "0.9777777791023254", "0" ], [ "30", "31", "1.3661614656448364", "0" ], [ "31", "32", "1.1513208150863647", "0" ], [ "32", "33", "1.5016859769821167", "0" ], [ "33", "34", "1.1443067789077759", "0" ], [ "34", "35", "1.1909537315368652", "0" ], [ "35", "36", "2.2312088012695312", "1" ], [ "36", "37", "1.4084224700927734", "0" ], [ "37", "38", "0.7728464007377625", "0" ], [ "38", "39", "1.2335227727890015", "0" ], [ "39", "40", "1.200500249862671", "0" ], [ "40", "41", "1.5441060066223145", "0" ], [ "41", "42", "1.4373862743377686", "0" ], [ "42", "43", "1.4075382947921753", "0" ], [ "43", "44", "1.3086644411087036", "0" ], [ "44", "45", "1.4602000713348389", "0" ], [ "45", "46", "1.299428939819336", "0" ], [ "46", "47", "1.2612273693084717", "0" ], [ "47", "48", "1.1733968257904053", "0" ], [ "48", "49", "1.786200761795044", "0" ], [ "49", "50", "1.2313168048858643", "0" ] ], "shape": { "columns": 3, "rows": 58 } }, "text/html": [ "
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" ], "text/plain": [ " patient_id x y\n", "0 1 2.105302 1\n", "1 2 1.536383 0\n", "2 3 1.274405 0\n", "3 4 1.187935 0\n", "4 5 1.674636 1\n", "5 6 0.995610 0\n", "6 7 1.299513 0\n", "7 8 1.448750 0\n", "8 9 1.413230 0\n", "9 10 0.977165 0\n", "10 11 4.151836 1\n", "11 12 1.218250 0\n", "12 13 1.416151 0\n", "13 14 1.039248 0\n", "14 15 0.951761 0\n", "15 16 1.169126 0\n", "16 17 1.276448 0\n", "17 18 2.093015 1\n", "18 19 1.403328 0\n", "19 20 1.313908 0\n", "20 21 1.264841 0\n", "21 22 1.015351 0\n", "22 23 0.877482 0\n", "23 24 1.471545 0\n", "24 25 1.386757 0\n", "25 26 1.485943 0\n", "26 27 1.123606 0\n", "27 28 1.454363 0\n", "28 29 1.477343 0\n", "29 30 0.977778 0\n", "30 31 1.366161 0\n", "31 32 1.151321 0\n", "32 33 1.501686 0\n", "33 34 1.144307 0\n", "34 35 1.190954 0\n", "35 36 2.231209 1\n", "36 37 1.408422 0\n", "37 38 0.772846 0\n", "38 39 1.233523 0\n", "39 40 1.200500 0\n", "40 41 1.544106 0\n", "41 42 1.437386 0\n", "42 43 1.407538 0\n", "43 44 1.308664 0\n", "44 45 1.460200 0\n", "45 46 1.299429 0\n", "46 47 1.261227 0\n", "47 48 1.173397 0\n", "48 49 1.786201 0\n", "49 50 1.231317 0\n", "50 51 0.976332 0\n", "51 52 1.222687 0\n", "52 53 1.534264 0\n", "53 54 2.481226 0\n", "54 55 1.519567 0\n", "55 56 1.559839 0\n", "56 57 1.234624 0\n", "57 58 1.439417 0" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data_path = project_root / 'data' / 'raw'\n", "results_path = project_root / 'results' / 'logit_review_boots'\n", "results_path.mkdir(parents=True, exist_ok=True)\n", "\n", "df = data.load_mat_data_to_dataframe(\n", " suv_filename=data_path / 'suv_percentilesSLOthenUWM.mat',\n", " flags_filename=data_path / 'flags_combined.mat',\n", " nr_patients=58,\n", ")\n", "\n", "perc = 95\n", "organ = 'lung'\n", "\n", "# The current data API returns long-format data. The predictor is the\n", "# maximum SUV percentile across visits for each patient.\n", "df_xy = (\n", " df.loc[(df['organ'] == organ) & (df['percentile'] == perc)]\n", " .groupby('patient_id', as_index=False)\n", " .agg(x=('suv', 'max'), y=('y', 'first'))\n", " .sort_values('patient_id')\n", ")\n", "x = df_xy['x'].to_numpy(dtype=float)\n", "y = df_xy['y'].to_numpy(dtype=int)\n", "\n", "n_boots = 10_000\n", "df_xy" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Predictor (x) statistics:\n", " Mean: 1.3076\n", " Std: 0.2609\n", " Min: 0.7728\n", " Max: 2.4812\n", "\n", "Predictor (x) statistics:\n", " Mean: 2.4512\n", " Std: 0.9736\n", " Min: 1.6746\n", " Max: 4.1518\n", "\n", "Response (y) statistics:\n", " Class 0: 53 samples (91.38%)\n", " Class 1: 5 samples (8.62%)\n" ] } ], "source": [ "# basic sanity checks on the data\n", "for cls in np.unique(y):\n", " if cls not in (0, 1):\n", " raise ValueError(\"y must contain only binary values (0 and 1)\")\n", " \n", " print(\"Predictor (x) statistics:\")\n", " print(f\" Mean: {np.mean(x[y==cls]):.4f}\")\n", " print(f\" Std: {np.std(x[y==cls], ddof=1):.4f}\")\n", " print(f\" Min: {np.min(x[y==cls]):.4f}\")\n", " print(f\" Max: {np.max(x[y==cls]):.4f}\")\n", " print()\n", " \n", "print(\"Response (y) statistics:\")\n", "unique, counts = np.unique(y, return_counts=True)\n", "for cls, count in zip(unique, counts):\n", " print(f\" Class {cls}: {count} samples ({100 * count / len(y):.2f}%)\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Fit and asymptotic uncertainty" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "{'pars': array([-11.68387205, 5.68696545]), 'cost': np.float64(7.394195051363892), 'success': True, 'message': 'CONVERGENCE: NORM OF PROJECTED GRADIENT <= PGTOL', 'nit': 4}\n", "covariance matrix:\n", " [[12.32303702 -6.71291913]\n", " [-6.71291913 3.81878393]]\n" ] }, { "data": { "application/vnd.microsoft.datawrangler.viewer.v0+json": { "columns": [ { "name": "index", "rawType": "object", "type": "string" }, { "name": "estimate", "rawType": "float64", "type": "float" }, { "name": "LCL", "rawType": "float64", "type": "float" }, { "name": "UCL", "rawType": "float64", "type": "float" } ], "ref": "9a26be77-8ece-495e-b19d-aa26391bdd50", "rows": [ [ "b0", "-11.683872048612786", "-18.564165593323825", "-4.803578503901749" ], [ "b1", "5.686965445003518", "1.8568608508060875", "9.517070039200949" ] ], "shape": { "columns": 3, "rows": 2 } }, "text/html": [ "
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estimateLCLUCL
b0-11.683872-18.564166-4.803579
b15.6869651.8568619.517070
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" ], "text/plain": [ " estimate LCL UCL\n", "b0 -11.683872 -18.564166 -4.803579\n", "b1 5.686965 1.856861 9.517070" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "logit = logistic.LogisticPolyRegression(degree=1)\n", "res_fit = logit.fit(x, y, method='diff_evol')\n", "if not res_fit['success']:\n", " raise RuntimeError(f\"Logistic fit failed: {res_fit}\")\n", "\n", "pars = res_fit['pars']\n", "cov_pars = logit.get_cov(x, y, pars)\n", "alpha = 0.05\n", "probs = [alpha / 2, 1 - alpha / 2]\n", "\n", "print(res_fit)\n", "print('covariance matrix:\\n', cov_pars)\n", "pd.DataFrame(\n", " {'estimate': pars, 'LCL': logit.get_pars_quantiles_normal(probs, pars, cov_pars)[0],\n", " 'UCL': logit.get_pars_quantiles_normal(probs, pars, cov_pars)[1]},\n", " index=[f'b{i}' for i in range(len(pars))],\n", ")" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "application/vnd.microsoft.datawrangler.viewer.v0+json": { "columns": [ { "name": "index", "rawType": "int64", "type": "integer" }, { "name": "LLF", "rawType": "float64", "type": "float" }, { "name": "AIC", "rawType": "float64", "type": "float" }, { "name": "BIC", "rawType": "float64", "type": "float" }, { "name": "A", "rawType": "float64", "type": "float" }, { "name": "chi2", "rawType": "float64", "type": "float" }, { "name": "p-value(chi2)", "rawType": "float64", "type": "float" }, { "name": "n", "rawType": "int64", "type": "integer" }, { "name": "k", "rawType": "int64", "type": "integer" }, { "name": "dof", "rawType": "int64", "type": "integer" } ], "ref": "6a60656c-a27d-4a81-a68a-d1725d9c323e", "rows": [ [ "0", "-7.394195051363892", "18.78839010272778", "22.90927612382062", "0.9655172413793104", "23.103221367618744", "0.9999706242978951", "58", "2", "56" ] ], "shape": { "columns": 9, "rows": 1 } }, "text/html": [ "
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LLFAICBICAchi2p-value(chi2)nkdof
0-7.39419518.7883922.9092760.96551723.1032210.99997158256
\n", "
" ], "text/plain": [ " LLF AIC BIC A chi2 p-value(chi2) n k \\\n", "0 -7.394195 18.78839 22.909276 0.965517 23.103221 0.999971 58 2 \n", "\n", " dof \n", "0 56 " ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pd.DataFrame([logit.goodness_of_fit(x, y, pars)])" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "xp = np.linspace(x.min(), x.max(), 250)\n", "\n", "fig, ax = plt.subplots(figsize=(7, 5))\n", "for cls, label in [(0, 'NC'), (1, 'AE')]:\n", " ax.scatter(x[y == cls], y[y == cls], label=label, zorder=3)\n", "\n", "ax.plot(xp, logit.model(xp, pars), color='black', label='logistic fit', zorder=4)\n", "\n", "for label, method, color in [('normal', logit.get_model_quantiles_normal, 'tab:red'),\n", " ('delta', logit.get_model_quantiles_delta, 'tab:green')]:\n", " lo, hi = method(xp, probs, pars, cov_pars)\n", " ax.fill_between(xp, lo, hi, color=color, alpha=0.18, label=f'95% CI ({label})')\n", "\n", "ax.set(xlabel='maximum SUV percentile across visits', \n", " ylabel=r'$P(\\mathrm{AE}\\mid X=x)$',\n", " title='Conditional probability of AE')\n", "\n", "ax.legend()\n", "fig.tight_layout()\n", "fig.savefig(results_path / 'logit_asymptotic_ci.pdf', bbox_inches='tight')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Bootstrap parameter samples" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(10000, 2) (10000, 2) (10000, 2)\n" ] } ], "source": [ "# Each current API method includes the original-data MLE as its first row.\n", "bpars_nonpar = logit.get_nonparam_boots_pars(x, y, n_boots, seed=1977)\n", "bpars_nonpar_strat = logit.get_nonparam_stratified_boots_pars(x, y, n_boots, seed=1978)\n", "bpars_param = logit.get_parametric_boots_pars(x, y, n_boots, seed=1979)\n", "\n", "print(bpars_nonpar.shape, bpars_nonpar_strat.shape, bpars_param.shape)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "== nonparametric bootstrap ==\n", "mean: [-113.99898233 65.34012931]\n", "sample covariance:\n", " [[ 47412.25651434 -28742.33531351]\n", " [-28742.33531351 17520.85154008]]\n", "== stratified bootstrap ==\n", "mean: [-114.20373833 65.94946719]\n", "sample covariance:\n", " [[ 48740.88124163 -29576.96638563]\n", " [-29576.96638563 18035.28911158]]\n", "== parametric bootstrap ==\n", "mean: [-133.19935532 64.95571091]\n", "sample covariance:\n", " [[ 84065.85716915 -40643.73415857]\n", " [-40643.73415857 19802.77197453]]\n" ] } ], "source": [ "def mean_and_cov(samples):\n", " samples = np.asarray(samples)\n", " return samples.mean(axis=0), np.cov(samples, rowvar=False, ddof=1)\n", "\n", "bootstrap_results = {\n", " \"nonparametric\": bpars_nonpar,\n", " \"stratified\": bpars_nonpar_strat,\n", " \"parametric\": bpars_param,\n", "}\n", "\n", "for name, samples in bootstrap_results.items():\n", " mean, cov = mean_and_cov(samples)\n", " print(f'== {name} bootstrap ==')\n", " print('mean:', mean)\n", " print('sample covariance:\\n', cov)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", 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VxbyBw4cPA7bOWNu2bX1QvYh4zd69MG4c3Hor5OfbtnXqBL/+ahsurGLx0apYLFZe+nwdJmMI55zeyYsFNx4hIQZO+scNPDXtbdZ1cbhf5H//C/36wW+/+a84kRpolEGrR48eREVFYbFYWL9+fYV97du355xzzgFg+vTprFu3rmxfVlYW06dP58iRIyQmJjJhwgQq+/132xow/fr1w6Cri0TKWK1Wl3+c+IX9Fjq9esHPP5dv//vfbRPhXVxRXBOzFu1g3bZjXDCiC5HhGjKsrVCTkfMvOZ2Xr3qcD8+7Hat97uyOHXDaaXD//VBY6N8iRarRKH8ChIaGMmTIEH755RfWrl3L0KFDK+x/6KGHOHToEKtWreLSSy8lOTmZqKgodu/eTWFhIU2bNuWll15yOQdr7dq1gOsV50Uam5JSM/NXpLJ64xG278/EbLaQmBBN784tOH9EZ+LjnC9I8bmDB+HGG2Hu3PJt7dvbgtfYsXV++j+2H+ODeZsY2b8d3ZKb1fn5GruoiFCuPrsn/y0xs/ekQdz/yyuErFxpG/J9+mn4+mvbkhunnebvUkVcapQdLYDzTiw0uMR+Q1gH0dHRvPvuuzz++OMMGDCAjIwMduzYQYsWLbjqqqv49ttv6dWrl9PjcnNzWbduHSaTiYkTJzrtF2lMVm08zE3//oW3Z2+koLiUob3aMLJ/O+KahPPDb3u4/omfeHP2BgqLS+unIIvFNux00kkVQ9a119quMPRCyDqUlsczH66hc2KcrjL0ouaxEVw94STWWZvy6JRnMD/2OJxY5JStW20dyDvu0NwtaZAaZUcL4IwzziA5OZn169ezfft2unbtWmG/yWRi8uTJTJ482ePnnD17NoWFhUyaNMntOlsiwc5qtfLZT9v45IctpCQ14/Jx3UhoVnG5lMKiUlb8dYj5y1P5fctR7rlyIJ0SfXiT5c2bbV2spUvLt7VuDW++CWef7ZVTpGcV8H//XU54qJFLxnYjJERTB7ypbctorhzfnffnbuK53uOZtvZ8jNdfB6tW2YaCX3rJdg/KN9/0SmgW8ZZG29EyGo3cdNNNAGW33KmrL774AqPRyM033+yV5xMJNGazhec/+Z1PftjCGackcfWEHk4hCyAi3MSoAe255aK+WCxW/vHSYhas2uv9goqK4JFHbFcUOoasa6+13ULHSyHreHYhD/53BUXFpVx7ds/GfS9DH+qc2JTJY1JY+scB/rvVjHXZMtuisvZpHKmpcMYZcOWVtqsURRqARhu0AM4991w6derErFmz6ny7nOXLl7N582YmTZpEUpKGDKTxsVisvPj5OhavO8ClZ6QwakD7ai8ISWgWxU2T+tC3a0te/Hwdr331B8UlXrpH6M8/265Oe/TR8nWxunSxbX/nHfDS8it7Dmcz7cXFZOUWce3ZPWkaU7srFcUzvTq34IIRXZi/IpUPftiG9e67bUO/jvNiP/4YunWDF1+E0noamhZxo1EHLZPJxNNPP01BQQGvvvpqrZ/HYrHw73//m9atWzN9+nQvVigSGOwroC/6fT8Xj+lKny6eD52bjCFMGtmF80d05qeVe5n24mL2HcmpfTG7d8OkSbbho82bT5zEZLtC7c8/YfTo2j93JUv/OMD0l5dgMoZw86Q+Lrt34n0De7Riwqkd+PKX7Xy+YJstQP/yi20OXrMTFyBkZ8Odd8LAgeXro4n4QaMOWgB9+/blhhtu4PPPPyfVfuPYGvr666/ZunUrTz31VIV7HYo0FjN/3sb8FalcMKILfbvWbn7iKSe15uZJfcgvLOGO5xfx3pyN5BaUeP4EeXnwf/8HPXrYrkSzGzwY1q6FJ58EF7fdqo3MnCKe/WgN//5gDZ0S47jh/F7ERauTVZ9O75vIuFOS+Pj7LXz1y3YICbHNw9u2Da67rvzAP/6wXZF4zTVw4IDf6pXGy2BtMAvbSEOXn5/P5s2by9Yhk8bH1Wtg0dp9PPfJ74wZ1J4xA+s+bF5cYmbx+gMsXX8AozGEwb1aM6hHK1o1jyKmSRhFxWbyCkrIyC4kPauQ3Lwi2v70LUM+epEm6UfKnsfaujWGp5+Gq66y/RL2goKiUr5bsosvf7HdOeKc0zvSt2vLRrVmXmFRIXv27CE5OZmIcP/fZuynVXtYuHY/Uyb04OIxKeU7VqywrYvmuFZiZCT84x9wzz0QE1PvtUrj1GivOhSRutu4K50XP19H/24JjB7Q3ivPGRZqZOygJE45qRWrNh5hU2o6i9budz7QamXIvvVcueRDko/sKttcEmJidv9zWHDGlfSN7sxpu9Lp1alFna4CPHa8gPkrdjNveSqFRaUM6dWaUQPaExWhSe/+NnZQEiEGAx/M24zZYuWSsSm24Dt0KKxZA6+/Dg8+CJmZUFAAjz8O//uf7SKJ664rXyZCxEfU0RKPqaMljq+BrHwr0178lZbNorhm4kmYjL6biZBbUEJOXjH5hSWEhRpptel3Ut54hpjfV1U4LnvUOHbe/RA7IxPYtu84W/ZkcDy7iPi4CIb3a8fwkxPp3C7Oow5UTn4xqzcdZtHa/azfdoywUCMDe7TitD5tG/WE94bW0bJbtHYfP67ay3nDOzP1nJ4Vg3V6OvzrX7Z7WpY4DEd36gQPPQRXXGGbxyfiAwpa4jEFLbG/Btp36MLDb62hsNjMTRf0rp/OjtVKk5XLSHjteaJXVFxoOL9XX45M+z9yTx9Z6SFW9h3JZd22o2zclU5uQQnxcRH07dqSbsnNaNuiSdncqvzCUo5k5LPnUDYbd6ezY18mZouV5NYx9O+WQJ8uLQgP0y/jhhq0AH776xDfLdnFyAHtuG1yP0JNlcL/jh22iyK+/LLi9q5d4eGH4ZJLFLjE6xS0xGMKWpKfn8+GvzYxa1U+qQdzuGlSH1o09fFtdKxWYn5dQMvX/kOTdasr7Crs1IUjdz1A9plnQzVdKrPFyu6DWWzbe5ydB7I4kp6PxcWPv7joMJJbx9KxbSw9OjQntknj7V650pCDFthugfTVwu306BDPA9cMIjoqzPmg336zdbJ++qni9k6d4O67beus6WeceImClnhMQUvy8vJ4+t3lbNhTwNRzetKxre9WczcU5NPsmy+I/+BNInZsrbCvKLkjx266k+PnT651B8JstpCZW0RBUSlWq21uWLOYcMJCjd4oP2g19KAFsPtgFh//sIVmMeH889rBtG/lZuL7kiW2TtbChRW3x8fDrbfaJtMnJPi+YAlqClriMQUteWf2n3y9eDcXjOjAoJMSfXKO0P17if/kPZrN/BBTVmaFfYVdu3P05rvIOutcDfH4SSAELYC0zAI++n4zOfkl3HVZP4b2buv+4EWL4Kmn4McfK24PC4MLL4Sbb4bTT6+2ayriioKWeExBq3GbvXgnb83+i4FdopgwvIdXf8kaCguI/Wk+zb78hOgVizFU+rGUN3AwaVP/TvaY8V5bqkFqJ1CCFkBRcSlfLtzBxl3pnDusE9ecfRKhpio6luvX227p89lnYK50h4JevWzrdF12GbRo4dO6JbgoaInHFLQar/krUnntyz84tXcruiaYvfNL1mymyZrfiJv7DU3nfo0xO6vCbktoGFlnX0Da1TdQ2LNv3c4lXhNIQQtsF0Ss+OsQ369IpV1CDHdf3r/6Ie89e2xXKL7zju2KRUcmE5x1lu1+iuec47VFcCV4KWiJxxS0Gqd5y3fz+ld/MrR3G8YObMPevXtr/0vWbCbq91XEzf+WuB++I/ToEadDipI6cPyiyzl+8RWUttD8mIYm0IKW3aG0PGb+vI20rAIuGZPCRWNSnK9KrKyw0HaF4uuvu76NT2wsTJwIF1xgC1/R0b4pXgKagpZ4TEGrcbFarcxcsI2Pvt/Cqb3bMPG0jhQVF9X4l6zxeAbRSxYSu+gnopf8ginzuNMxlohIss46h+MXXk7eKadqLkwDFqhBC6DUbGHh2n38+vsB2rSw3dD85BQPw/yGDfDhh7YbVh886Lw/PNx2f82JE2HcOOjc2bvFS8BS0BKPKWg1HiWlZl798g9+Xr2PMYPaM3pAewwGg0e/ZENycmiy9jearFxOk1XLiPzrDwwWi9NxltAwckaMIeus88gZfSYWdQMCQiAHLbvD6Xl8u2QXqYeyGXRSK649u6f7KxMrM5ttk+c//BBmz7atOO9Kx462wDVqlO1ei+3aeat8CTAKWuIxBa3GYf/RHGZ8uIY9h3OYNKoL/Rz+4nf6JVtaSsT2LURuWEfkn+uJ2rCOiC0bXQYrAHN0DLmnjyR7zHiyx4zHEqObsAeaYAhaYOvY/rkjjZ9W7eV4TiEj+7fjkjO6kdiyBoG/pAR+/dV2E/NvvnHd6bJr3x5OPdX2NnQo9O4NEYH79RPPKWiJxxS0gltJqZnvluzikx+3EhsVxuSxKeW/dKxWTEePELJ5AwVrVtL2eDpNdmwlctNfhBQWVPm8hV27kzN8NDkjzyBvwGDdWy7ABUvQsis1W1i16TCL1x0gJ7+YIb3acO6wTvTsFF+zm4VbLLBunW0R1B9/hGXLoLjY/fFGI3TrBn36lL/16mULZLqyNqgoaInHFLSCU3GJmcXr9vP1/A1Y9uxjePMShsYUE3VoH2H79xG2fy/hu7ZjzMmu9rmsBgNFXbuTd8pQck85jbxTTsUcr0vhg0mwBS27klILv289yooNBzl6vIB2CdGccUoSw/u1q93dD/LybAuiLltmm0i/cqVtW3XCw20r1HfpYpvn1aULdOgAiYnQtq1taQkFsYCioCUeC8SgVVJqZv/RXPYfyeVgWi7HMgtIzyokv7CEwmIzIQYDoaYQYpuE0Sw2glbNo2jTogntE6Jp2zLapzdK9qmiItvckcxMyMoqfz8zE44dw3zwEDm791GwZz8cPkxsbiZNivNrfpr2HSjoczIFvfuR3/tkCnv2wdJEc62CWbAGLTur1crOA1ms2XyETbvTKTVb6ZbUjFN6tqZft5Z0SmyKMaQWF2uUltom1NtD14YNsGlT1V0vV0JDoU2b8uDVurVtJfvmzZ3/7dq15nWK1ylo1cbOnc6L2bn6MtZlmy+es47nKcjPZ3dqKh07dCDSvnZMA/kci0pKycgqIu14HkeO53M4PZ9DaXmkZRZgsYLBaiUi3ERMZChRkSbCTEZCjQasVjBbLBQWmykoKiU7r4jiYtv31mg00LJpJG2aNyGheSQtm0URHxtBs9gIIsNcLHro7nO0WGw/ZO1vZnPFj129OR5TWAgFBe7fHPZb8/IgMxNDUZHrWmqpOLE9RZ27ktexM/vj4ok6ZQjWHr2wxPruFjzSMAV70HJUUFTKlj0ZbNyVzs4DWRQVm4kMN9EtuRndkprRsW0cSa1jaNOiSe3+KCspgW3b4M8/4Y8/YMsW242vd+60/b+uK/16bxAUtGpo69atFG/Z4u8yRLwnJASr0QhGI9YQI1aTCUwmrEYTVpPtDWx/wVuxUlpSgik0FANagqExaryvASulZiulZsuJNyuOvz6NIQaMIQZCQkJO/AshBgOGEAMGg4EQA7avl8G2eon9a+d2GpjZbAtiJSUV//hy/LcaYd27061bN2988lIHullYbXTqVO0hRzPyUYKVgGU58VZiBlz8QC/0bsdMApBeAxWYLVbMFiu2/zjeZLS9hQBhFffERYcREaZf4w2dOloiIiIiPhKgM31FREREGj4FLREREREfUdASERER8REFLREREREfUdASERER8REFLREREREfUdASERER8REFLREREREfUdASERER8REFLREREREfUdCqoa1bt7J161Z/lyEiIuIT+j3nXQpaNVRcXExxcbG/y/CLoqIi1q5dS1GRbibbWOk1IHoNBL/i4mKKt2yBb77xdylBQUFLPGY2myv8K42PXgOi14BIzShoiYiIiPiIgpaIiIiIjyhoiYiIiPiIgpaIiIiIjyhoiYiIiBOLxervEoKCgpaIiIg4OZiW6+8SgoKCloiIiDgxq6PlFQpaIiIiIj5i8ncBIiJSN1arlZKSEiwWi8/PZV8RvqioiJAQ/a1eH4xGI6Ghof4uQ2pJQUtEJEAVFxdz9OhR8vPz622ldovFgslk4uDBgwpa9Sg8PJwWLVoQGxvr71KkhhS0REQCUH5+Pvv27cNoNNKsWTMiIyMxGo0YDAafntdsNlNUVER4eDhGo9Gn55LybmVWVhYHDhwAUNgKMApaIiIBKC0tjdDQUJKTk+s18Ng7ZxEREQpa9SQyMpKYmBj2799PWlqaglaAUd9XRCTAlJaWkpeXR/PmzRV2GgmDwUBcXBxFRUWUlJT4uxypAQUtEZEAU1paCtjm7UjjYZ8QX1/z8dDqDl4RMEOHFouFL774glmzZrF9+3ZKSkpo27YtY8eO5W9/+5tTK3Xfvn28/PLLrF69mvT0dBITEzn//POZOnWqrt4QkaDg6/lY0rDU9/fbqqTlFQHR0bJYLNx+++089NBDbN26lZ49e3LqqaeSnZ3NW2+9xUUXXURaWlrZ8du3b+fCCy9k9uzZtGzZkhEjRpCZmcnzzz/PDTfcUPbXoIiIiLhmVc7yioDoaH311Vf89NNPdOzYkbfeeot27doBkJubyz/+8Q8WLlzI448/zosvvgjAvffeS1ZWFo8//jiTJ08uO/amm25ixYoVfPTRR1xzzTX++nRERESkkQiIjtasWbMAuO+++8pCFkB0dDRPPvkkBoOBn3/+mcLCQlasWMHGjRvp169fWciqfOz777+PVVFdREREfCwgglZcXBydOnWib9++TvuaN29OXFwcJSUlHD9+nF9//RWA0aNHOx2blJREt27dOHjwIFu3bvV53SIi4j+zZs2iW7dudOvWjcGDB1c7bWT9+vVlx1922WVl20ePHk23bt1YuXJljc/rydv+/fvr9Hn6jhoS3hAQQ4dvvPGG23179+4lMzOT0NBQmjdvzvbt2wFISUlxeXyXLl3YsmUL27Zto3v37j6pV0REGpbMzEx+++03Tj/9dLfHzJ0716vnjI+P59RTT632uKioKK+e11t0T2nvCIigVZXnn38egFGjRhEeHs7Ro0cBaNmypcvj7dvT09Prp0ARkSBgKS4mbdly0n9bSXFWNmFxscQPGUyL004lJCzM3+VVKTY2luzsbL7//nu3QctisfD9998TGhrqtXWqOnfuzLPPPuuV5/ILBS2vCOig9d577zF//nwiIyO58847ASgoKABsqxa7Yl93Ji8vr9bntVqt5Ofn1/rxgcr+tbX/K42PXgMNQ1FRERaLBbPZXC9rKmWsWsPOl1/FnJcHBoPtcjSDgYzfVrHrzXfocvstNBs00Od11JT9JttDhgxh2bJlLFiwgAcffBCTyflX3+rVqzl69CijRo1i4cKFQPl6VfY5vfavuafntVqtXv3+mM1mLBYLBQUFHt1AvK6dspKSkkb5u64mPPkaB2zQeu+993jqqacwGAw88cQTdO7cGaBsleTq1hupy2T4kpISNm/eXOvHB7rU1FR/lyB+pteA/5lMJoqKinx+nqy1v7P7+RfLr/Wv9K85L4+tT8+g4913EDegv8/rqQl7Z8poNDJ8+HDmz5/PsmXLGDx4sNOx3333HSEhIYwdO5aFCxdisVgoLCwEyn9fFBcXl23z5LyOz+ENRUVFlJaWsmvXLo+OHzBgQJ3OdywtjbxG/LvOE558jQMuaFmtVmbMmMHbb7+N0WjkiSeeYOLEiWX77enS3Q8g+/a6JP3Q0FC6dOlS68cHqoKCAlJTU+nQoQORkZH+Lkf8QK+BhqGoqIiDBw8SHh7utnvvDZbiYva+8SbVjyFZ2fvGmwx4+78NahjRvji10WjkzDPPZP78+fzyyy+MGDGiwnFms5lffvmFAQMGkJiYCEBISEjZ19b+h3tYWJhHX2/7eR2fw1tMJhNJSUn1cleAli1akNSjh8/PE+wCKmgVFhZyzz338OOPPxIREcFzzz3H2LFjKxzTqlUrNm3axLFjx+jh4gVy7NgxwP0cLk8YDIYGO3mxPkRGRjbqz1/0GvC3kJAQQkJCMBqNPr3XYfpvK23DhdWx2jpbx1euImHkiOqPrychIbYL6w0GAyNHjiQ6Opqff/6ZRx99tMLXbcWKFWRkZHDHHXeUPQacR0jsX/OanNeb3x+j0UhISAiRkZE+Ddh2JlOo/p97QUAs7wC2BUevueYafvzxR5o3b84HH3zgFLIAunbtCsDOnTtdPk91VyWKiIhNxspVtjlZnjAYyPjNs+UP/CEsLIwxY8aQkZHBqlWrKuybN28eJpOJM88806vnXLVqVbVLOzzxxBNePac0PAHR0SopKeHGG29k3bp1JCUl8fbbb5OUlOTy2OHDh/O///2PBQsWcO2111bYt3fvXrZt20abNm3o1q1bfZQuIhKwSnJyPb8Pi9VqO74BO+uss5g9ezbff/89Q4cOBWzzrhYsWMCpp55Ks2bNvHo+T5Z36NWrl1fPKQ1PQAStV155hbVr19KyZUs++ugjWrVq5fbYgQMH0qNHD9asWcMHH3zAlClTAFtH7IEHHsBqtTJ16lTdjFVEpBqhMdHlVxlWx2CwHd+AnXbaacTGxvLTTz/x0EMPYTQaWbp0KVlZWRXm+npLwC/vIF7R4IPW8ePHef/99wHbXwczZsxwe+x9991HixYteOqpp7jyyit54okn+Oabb2jXrh1r1qwhPT2dkSNHcvnll9dX+SIiAav54FNIX+HhcKDVSvMhzlfzNSRhYWGMHTuWWbNmsXr1aoYMGcK8efMIDw93ORVFxBsafNBavXp12Zo9W7ZsYcuWLW6Pve2222jRogU9evTgyy+/5KWXXmLFihXs3LmTpKQkrrvuOq666iqXa6iIiEhFLU47lV1vvoM5P7/qrpbBgDEqihanDq2/4mpp/PjxzJo1i++//55+/fqVXYUYHd2wu3ESuBp84hg3blyt7kvYsWNH/vOf//igIhGRxiEkLIyUO29j85P/dj+EeGIaRsqdtzWopR3cOfXUU2natCkLFixg6NCh5OXlMWHCBH+X1SBZtTS8VwTMVYciIlL/mp8yiO7334vRfpm/fX7riX+NUVH0eOBemp8yyE8V1kxoaChjx47l2LFjvPDCC0RFRTFq1Ch/l9Ug1WFdb3HQ4DtaIiLiX/GDB9HsvbdIW76C9BW/ld/rcOgQWpw6NCA6WY7OOussvvzyS3bt2sU555zj8ZpUt912W9lipK788MMPFYYgd+7cyT/+8Y9qn3fcuHGMGzfOoxrqlZKWVyhoiYhItULCwkgYOYL4YadTWFhIRESETxdL9aUhQ4bQrFkzjh8/XqOrDbOysqrcX/n+g+np6Xz33XfVPm9ycnKDDFoW5SyvUNASEZGgNGnSJCZNmuS03WQy8dtvv7l8zODBg53mBf/yyy9eOW+gsaij5RWaoyUiIiJOLGppeYWCloiIiDhRR8s7FLRERETEiVkdLa9Q0BIREREnGjr0DgUtERERcaKg5R0KWiIiIuJEQ4feoaAlIiIiTtTR8g4FLRGRAGXVVWGNSn1/v5WzvENBS0QkwISE2H50m81mP1ci9cn+/bZ//31NQd47FLRERAJMaGgooaGh5Obm+rsUqUcFBQUYjcYq77coDY+ClohIgDEYDMTExJCVlUVBQYG/y5F6YDabycrKIioqCoPBUC/nVD/LO3SvQxGRANSiRQsKCgrYu3cvsbGxxMTEYDQaff5L2Gw2U1RUBBCwN5UOJFarlaKiIjIyMrBYLCQkJNTbuUPqJ88FPQUtEZEAZDQaad++PWlpaeTk5JCZmVkv57VYLJSWlmIymeptrpBAkyZNaN26NWFhYfV2zvrqnAU7BS0RkQBlNBpp1aoVCQkJlJSUYLFYfH7OgoICdu3aRVJSEpGRkT4/n4DJZMJkqv9f1+poeYeClohIgDMYDPXW6bCHufDwcCIiIurlnOIfIQZ1LL1BX0URERFxopFh79CXUURERJyEaOzQKxS0RERExEmIJsN7hYKWiIiIOAkxaCUtb1DQEhEREScG1NHyBgUtERERcaahQ69Q0BIREREXNHToDQpaIiIi4sSqnOUVCloiIiLixGJR0vIGBS0RERFxYlbQ8goFLREREXGijpZ3KGiJiIiIkxKz729S3hgoaImIiIiT0lIFLW9Q0BIREREnJQpaXqGgJSIiIk6KFbS8QkFLREREnBSXmP1dQlBQ0BIREREnRSWl/i4hKChoiYiIiJPiEg0deoOCloiIiDgpLFJHyxsUtERERMRJkeZoeYWCloiIiDgpKlbQ8gYFLREREXFSXKqg5Q0KWiIiIuLEornwXqGgJSIiIuIjCloiIiIiPqKgJSIiIuIjCloiIiIiPqKgJSIiIuIjCloiIiIiPqKgJSIiIuIjCloiIiLixGDwdwXBQUFLREREnISHGv1dQlBQ0BIREREnYaGKCN6gr6KIiIg4CQ81+buEoKCgJSIiIk7U0fIOfRVFRETESaiCllfoqygiIiJOQo2aDO8NCloiIiLixGTU+g7eoKAlIiIiTowKWl6hoCUiIiJOQrRiqVcoaImIiIiTEOUsr1DQEhEREScGlLS8QUFLREREnFix+ruEoKCgJSIiIk6sylleoaAlIiIiTixKWl6hoCUiIiJOzGYFLW9Q0BIREREnxaUWf5cQFBS0RERExElxidnfJQQFBS0JWHOX7PN3CSIiQSuvoMTfJQQFk78LqK1Vq1YxZcoUHn/8cS6++GKn/eeeey5bt251+/h58+bRuXNnX5YoPmQPWY5ha+Kw9v4qR0Qk6OTkF/u7hKAQkEFr165d3H333VjdXBFRXFzMzp07iYuLY/jw4S6PiYmJ8WWJ4gdzl+xT2BIR8ZKSUgtmixWjloivk4ALWitWrGDatGmkp6e7PWbr1q2UlpYyZMgQnn322XqsTurLxGHtXQ4d2rcpcImI1N3h9DwSW0b7u4yAFjBztNLT03nkkUeYOnUqWVlZtG3b1u2xmzZtAqBXr171VZ74QVVhau6SfZrDJSJSR9v2Hvd3CQEvYILWG2+8waeffkpSUhLvv/8+gwcPdnusPWj17NmzvsoTP6muc6WwJSJSO0ajgY273I8eiWcCJmi1b9+ehx9+mDlz5jBw4MAqj7UHraNHj3LNNdcwePBg+vXrx5QpU1iyZEl9lCv1yJOwpcAlIlIzrZs3Yf22Y/4uI+AFzBytKVOmeHSc2Wxm27ZtANx33310796dQYMGsXv3blauXMnKlSu59957mTp1aq1rsVqt5Ofn1/rxgaqgoKDCvw3JqAHxLFxb9V9ec5fsY9SA+HqqKDg15NeA1A+9BgJHVFRUnR6f0CyCIxn57Nh7jLYtmnipquDiydc4YIKWp3bu3ElhYSHh4eG88MILjB49umzfvHnzuOeee5gxYwYDBw6kT58+tTpHSUkJmzdv9lbJASc1NdXfJbjUOgoO5ydUeczCtem0jjpaTxUFr4b6GpD6o9dAwzdgwIA6PT7UWoAxBL5fspGh3XWlviuefI2DLmilpKSwbNkyCgoKaN++4pDShAkTWL9+Pe+//z6ffvpprYNWaGgoXbp08Ua5AaWgoIDU1FQ6dOhAZGSkv8txqQdU29myhzF1t2ouEF4D4lt6DTQeLVvG0yEslkNZRnr06OHvcgJW0AUtgBYtWrjdN2rUKN5//33++uuvWj+/wWCoc0s2kEVGRjboz3/isCiP5mQtXJuuZSBqqaG/BsT39BoIfiZTKN2Sm/PTqr2EhoUTajL6u6SAFDCT4b2lZcuWgOYXBDtPA5QmyouIuNehTSwlpRZ27s/ydykBK+iC1g8//MC0adP44osvXO7ft8/2S7V169b1WZb4QU26VQpbIiLO2sQ3IcRgYPdBBa3aCrqglZWVxZw5c/j4449d3qLn66+/BuD000+v79LEDyYOa1+j7paIiJQzGkNoHhvOwbQ8f5cSsIIuaI0fP56mTZuyefNmXn311Qpha+bMmfzwww/Ex8dz6aWX+rFKqW8KWyIitRMZEUpeQYm/ywhYQTcZPjY2lmeeeYZbb72Vl19+me+++45u3bqRmprK1q1biYqK4uWXX6Zp06b+LlXqmbv7I1am+yWKiJQzhhgoNVv8XUbACrqOFsCIESP46quvmDhxIrm5ufzyyy9kZmZy4YUX8u2339Z5bREJXJq3JSJSM4XFpTSJDPV3GQErYDtaTz/9NE8//bTb/SkpKTz//PP1WJEECnvY8rS7pc6WiDRWVquV7LximsVE+LuUgBWUHS0RT2jelohI1XILSsgvLKV9q2h/lxKwFLSkUVPYEhFx79CJqw2T28T6uZLApaAljZ6nS0AobIlIY7PvSA7RkaG0iddNpWtLQUvkBIUtEZGK9h7JoVtyMwwGg79LCVgKWiIOPOluKWyJSGOx/2gu3Ts093cZAU1BS8QFhS0Raexy84spKCqla/um/i4loCloibhRXXdLYUtEgtnxnCIAOic29W8hAU5BS6QaClsi0hhl5RYRExVK05hwf5cS0BS0RDxQk5tTi4gEg9z8Ytq21PpZdRWwK8OL+INj2FI3S0SCWX5BMa2aRfm7jICnoCVSS+pwiUgwKywqpXmcbr1TVxo6FBEREScWs4XYJmH+LiPgKWiJ+JmGIEWkoVLQqjsFLRE/0xCkiDREBquVqPBQf5cR8BS0RBoIdbZEpCExYCUyQlO560pBS6SBUGdLRBoSg9VKZLiCVl0paIk0MOpsiUhDER5m9HcJAU9BS6SBUWdLRBoCg9VKeKiCVl0paIk0UOpsiYg/GVDQ8gYFLZEGyt7ZUuASEX8wWK2YTIoJdaWvoEgDp6FEEfEHA1aMIQZ/lxHwFLREAsTcJfvU3RKR+mMFg0FBq6503aZIgFBnS0TqkwGrv0sICupoiQQYdbZEpD4YrFYsFoWtulLQEgkwE4e110R5EfE5A2C2WPxdRsBT0BIJUPaQpbAlIj5htVJSqqBVVwpaIgGqcmdLgUtEvMmAgpY3KGiJBBGFLRHxFgNQVGL2dxkBT0FLJMBVvhpR3S0R8YYQi5liBa06U9ASCQKuln5Q2BKRujBaLBQVK2jVlYKWSJBwF7YUuESkNoyWUnW0vEBBSySIuFvUVGFLRGrKaLFQYtZk+LpS0BIJMgpbIuIN6mh5h4KWSBCqKmwpcImIJ0wWs5Z38AIFLZEg5bjOVmUKWyJSHVtHS0GrrhS0RIKcwpaI1IZRHS2vUNASaQQUtkSkpkwWM8WlmqNVVwpaIo2E5m2JSE2YLGato+UFCloijYi7sAXqbolIRaFYdAseL1DQEmlkFLZExBPhlhIKi0r9XUbAU9ASaYSqC1sKXCISaS4mv1BBq64UtEQaqarCFqi7JdLYRZYWkVdQ4u8yAp6ClkgjVtVaW6CwJdKYRZQWk1eooFVXCloiorAlIk4iSovIzVfQqisFLREBNG9LRCoKLykiV0OHdaagJSJlqpu3tXBtej1VIiL+FlZcSH5hCVar1d+lBDQFLRGpoLqwdTg/oZ4qERF/Ci/Kx2yxUqhFS+tEQUtEnFQ3SX7h2nQNJYoEufC8bAxWi648rCMFLRFxS0tAiDReIRYLUUX55OQX+7uUgKagJSJVUtgSabyiC3M1Ib6OFLREBCi/stBVcFLYEmmcYgpzyc5VR6suFLRExImr0DVxWHtGDYiv8jEiElziinM5nlPo7zICmoKWiFSpcoBqHXW0ymMVuESCRxtLHseOF/i7jIBW70Hr4MGDfPPNN/V9WhGpRk0WLK2qs2U/XkQCX9uiLA6l5/m7jIBW70Frw4YN3H///fV9WhHxgCcLltrX0dK8LZHg17ookz2Hsv1dRkDT0KGIVFBdgILyFeJ1U2qR4JaQl8GhtDxytcRDrZm89URjxozx6LjCQk2qEwkG9hBlD1vuQtXcJfs8Cm8i0pAYAGiWnYYV2LAznaG92/i3pADltaB15MgRUlJS6N27d5XH7d+/n+XLl3vrtCLiA/Zg5ElHyh6kFLZEgoclxDbgFXVoPy2aRrJ602EFrVryWtBKSUmhXbt2PProo1Ue98MPPyhoiQQZx+6WwpZI4CsNMQJgykhjQKtQlm44xM0X9iHUZPRzZYHHa3O0evXqxZ9//unRsboTuEhgcDcHKyffWuHNzrG75YrmbIkEBrOxvA8z2JRFXkEJy/485MeKApfXgtb111/Pgw8+WO1xI0aM4Oeff/bWaUWkHlTXiaoctqrqXmmtLZGGz97RAmidtp9OiXHMWbJLjZJa8FrQSkpK8mhCfEREBImJid46rYjUE8fgFBNlcNrvrrvljsKWSMNVGlLe0QrftZ3T+7Rl697jbNqd4ceqAlOt5mitWLGCRYsWsX//fqxWK02bNqVjx4706dOH/v37Exoa6u06RaQBGDUgvmxph5goQ4VgZZeTby0LYtWFKc3bEmmYSh2GDiO3bCQluRmtm0fx+U9beexvp/qxssBTo6BVXFzMbbfdxuLFiyu0Dw2G8r9uIyIiGDduHFdccQV9+vTxXqUi0iC0jjpatmhp5bCVU2glJqJ8m6vOV2UKWyINj8VgpCSuKaFZmURu+IMQYET/dny+YBvb9h4nJamZv0sMGDUaOnzppZf49ddfadWqFTfffDMPPvgg99xzDykpKVitVkJDQykoKGD27Nlccskl3HXXXWRlZfmqdhHxE8db8DiGqZgI2/s5hVbbW6XhRHc0jCjSwBggp4etWWLKSCP00AF6d25By6aRzFywzc/FBZYaBa158+bRtGlTZs2axR133MEVV1zBddddx0knnYTBYGD16tW8+eabXHjhhURERDB//nwmTZrEwYMHfVW/iPiJuzlbOYVWp/cVtkQCT+5J5aNSkX+sJSTEwPB+iazceJg9h3VbHk/VKGilpaUxZMgQmjdv7nJ/eHg4w4YN44knnmDhwoVcdNFFHDhwgOuvv57iYi3fLxJsqpsgDxW7W9XRFYkiDUd234Fl70evsq1/eXLXlsQ2CWPust3+Kivg1ChoNW/enPz8fI+Obdq0Kf/617+444472LVrFx9++GGtCnRn1apVdO/enS+++MLl/tzcXP7zn/8wfvx4+vTpw/Dhw3n44YdJT0/3ah0ijZ3julkxUYay4cPKNJQoEliy+p2C1Whb5qHJiqUAGI0hDOzRil/W7KOwuNSf5QWMGgWtoUOHsnr1atLS0jx+zM0330yHDh2YO3dujYtzZ9euXdx9991u1/PIzc1lypQpvPHGG5jNZkaOHElUVBSfffYZF1xwAYcPH/ZaLSJi43HYqkF3S0T8xxwdQ0GvkwGI2LkN07EjAPRLaUlRsZm1m4/6sbrAUaOgdcMNN1BSUsKdd95Jbm6ux4876aST2L3bO23GFStWcOWVV3Ls2DG3x7z88sts3LiR888/n/nz5/PSSy8xb948rrnmGo4cOVLtbYJEpHYqhy3HwJVdUHHuloYSRRq+3KGnl70fvfgXAOLjImkT34RVm9S08ESNglanTp146KGHWLNmDeeffz7z5s2rdpVYq9XKli1bCAsLq1Oh6enpPPLII0ydOpWsrCzatm3r8rjc3FxmzpxJZGQkDzzwACaTbQWLkJAQpk+fTvv27fnll1/Yu3dvneoREdccwxaUX4kYG2kgu8BaFrg0lCjS8OWMPrPs/bif5pW936FtLBt3aSqOJ2q8MvzkyZN59tlnycjIYNq0aYwcOZLVq1cDsHv37rI5XCUlJfz111/ccsst7N69m/79+9ep0DfeeINPP/2UpKQk3n//fQYPHuzyuFWrVpGfn8/AgQOJi4ursM9oNDJq1CgAFi1aVKd6RMS9Cp0th6HE2MiKQ4qaKC/SsOX3HUBJS9u6edFLF2HIzwOgfUIMRzLyyS0o8Wd5AaFWK8OfffbZDBo0iFdeeYXvvvuOwsJCACZMmOB0rNVqJSoqirvvvrtOhbZv356HH36Yiy++mNDQUL788kuXx+3YsQOArl27utzfpUsXALZt0zogIq7Yw0xdFxG1P37ukn1l3a2cQmtZZ8suNtJQtgyEpwuceqM+EfFASAjZY84i/rP3CSkqJObXBWSfdR6t4qMA2HMom56d4qt5ksat1vc6bNWqFY8//jhLly7l6aef5txzz6VDhw4YjUasVitWq5WYmBjOOeccvvnmG7fBx1NTpkzh8ssvr/b2PkeP2ibnJSQkuNzfsmVLgBpN6BdpjOwdpLp2kVxNkrd3thyHE2sylGivT0R8L2v8OWXvN/vqMwBaNo3EYID9R3P8VVbAqFVHy1F0dDTnn38+559/PgBms5m8vDwMBgMxMTF1ffoasw9dRkREuNxv3+7pMhWuWK3WOj0+UBUUFFT4Vxo++30JoeJq7jVlDzVDTrL9FVvT14D9HolVdbYc3wfPu1t1+byk5vRzIHBERUXV6fFFxUUUFkFhv4Ektkkk/NABYpb8gnnvbkpbtaF5bATb92YwrI/rxkZj4MnXuM5BqzKj0UhsbKy3n7ZG54eK9190pbpJ/FUpKSlh8+bNtX58oEtNTfV3CeKx8h+AjqGrdVRVl2W7/6H526Z8WkfV7jXQOgoO5yc4BajsAqvTRHk7T8KW/fOq+nMSb9PPgYZvwIABdXr8gf0HyIo8sY7WyHGc9Om7GCwWTO+/xY5LptAsysq6LYfY3Ln2v08DnSdfY68HLX+zp0v7vLHK7NvrkvRDQ0PL5no1JgUFBaSmptKhQwciIyP9XY544PBa11cF2W8K7aob1IOKoawmj62O/bmrC1COgcuTsGWvS90t39PPgcYjsV0iTaPDASi55gb49F0Auv44h8K77iPXnMNXi3bTpHl7klpF+7PUBi3oglarVq0A93Ow7Otv2edq1YbBYKhzSzaQRUZGNurPP5BMHBZV5VymhWvTXU4qr+5x9sfajq1+UrrjBHbH53YcSqzMcRmImAhDjbpbmijve/o5EPzCw8KJCD8xDadTV7JHnkHsop8IP3yQVgvmYzznIn5ec5Dvlu3lnisHVv1kjVitJ8M3VPZJ9/arDyvbvn07ACkpKfVWk0hD5m7Cu6dhpSaT0l2dyz5JPjbS4LT8Q+WJ8jU5j4h417Ebbi17v+Wbr2AKMTBmUHsWrzvATyv3+LGyhi3ogtbAgQOJiopi1apV5ORUvBrCbDazcOFCDAYDw4YN81OFIvWrJoGpckBx9Vj7lYGOwaeuVyc6riRfOWwBtb4qUYFLxHvyBw0l/2Rb5ypi22ZifvmR/t0SGHRSK1796g+WrDvg5wobpqALWpGRkVx44YXk5eXx0EMPUVxcDNgmv8+YMYP9+/czduxYOnbs6OdKRepPTYbSKgeUqh7rKnDVluPiplWFLft5PaWwJeIlBgNH/3Z72Yetn38Cg8XCOad3oleneJ75aA1vzf6LUrPFj0U2PEEXtADuvPNOUlJSmDdvHuPHj+f2229nwoQJvPvuuyQmJvLQQw/5u0SReucuMLnqUAEehy3H57A/zpPOmDvVha0Dxy0aShTxk5wx48nv0w+wdbWazfoMkzGEyWNSOPv0jny3dBe3PbuQVRsP1+nq/mASlEErOjqajz/+mKlTpwKwcOFCSkpKuPzyy/n888/dLmYqEuxqEpjAdUBxNSndsdPkGLhqcu7K53AXtkBDiSJ+YzBw6N5Hyj5s9eLTGPJta2ee2rstf5/Uh/BQI4+/s5L7X1vGpt3pjT5wGayN/StQQxs2bACgd+/efq6k/uXn57N582Z69Oihq40CnGPgqCqoOIaqicPau3ycqysGK18l6BiyahJ2cvJtgary+lp2sZHlq817ugxE5XqkZvRzIPht2LCBIxn5hMUm0izG9eLfyTddRezP3wNw9OY7OXL3P8v2Wa1Wtu09zve/7eFIRj6dEuM45/RODO+XSFiosV4+h4YkKDtaIlI1x6BRVUBx1aGyLwxqf5w96FR4XKVukyfDkK4Cn72zldgsREOJIg3I4XsewnLilngt33yFiC0by/YZDAa6JTfntsknc/WEHpiMBl78fB3XPPYj783ZyJ7D2f4q2y8UtEQaKXdhK6fQ6vzmEGLsC5Y6Ps5t2CqsediqPBxY3SR5oNZLQChwidROUeeuHLvRNjHeUFpK4j/vArO5wjEhJwLXNRN7cvdl/enVOZ75K1K5dcZCbn9uId/8upPj2a4XFw8mCloijZhtAdHymz6DZx0qR646Yvb1ryoHoNpOsLefx9vztirXJCKeO3bzXRR2tq1JGfXnOlq891+3x7ZoGsk5p3fivimDuHJ8d6IiQnlvzkaueexHHvzvchas2kNuQUl9lV6vNEerhjRHS3MzgpU9cNjnRbnjbk6U4+Nczamyz6eyP84etGo6X8yTeVv2OjVvy/v0cyD4eTJHyy7q91V0uvRsDFYrltAwdn4xn8KefTw6T35hCRt2pvHnjjRSD2YTYjTQv1sCw09O5JSerYmKCPXGp+N3Clo1pKClH7DBzF3Ycgw1VQUZxwny3ghb9tvv2DmGrarO4+pcnlLgqpp+DgS/mgQtgNZPPUTLd14HoKhDJ3Z8/TOW6Jrd+zA7r4gNO9PZsDONvYdzCAsNYWivNowc0J5+KS0xGgN3AC7o7nUoIrVnv7LQk3sQ2jkGmZgoAzn55eGo8rGVP3a8B6Lj/Q8rd7Yq11E5PNmf92iObY5IQoyxyjqrMnfJPoUtkRo4Mu3/aLJ6BVEb1hOeuou2D9/D/mdfA4Pnf+TENgnntD5tOa1PW47nFPLH9jTWbzvKr+sOEBcdzoj+iYwbnExy61gffia+oY5WDamjpb9kGwPHzhZU3aEC992tmnScKne3PF0+wtV5HAOXloDwLv0cCH417WgBhO3ZTZfzRmPMywXgwKMzyLj8mjrVYbVaOZiWx/ptR/lzRxo5+SX0S2nJ+SO70C+lJYYaBDl/CtxenIj4jKsJ8u6WV3B3xV9NrxR07G45ntsVx0nvHp9HS0CI+ExxckcOPPF82cdtH7+fJiuW1Ok5DQYDiS2jmXhaJ+65ciCTx3TlyPF8Hv7fCm6ZsZC1W47Utex6oaFDEXHJ1fwpcD9Ml11gJbawYpfKMSy56mw5bouJMjgNJVY1hOm4zTEQHjhuISHGWKFGqLhIYk2GEe31iEjVsiZewLE/19HyndcxlJaSdNtUdn7xPcUdO9f5uU3GEE5OSaBv15bsPpjNwrX7eOTN3zh3eCeumXgSoaaGuxCqOloiUiXHDpNj58geZqA80LjqbjkuOuqK/TEHMywVuluVz+uO4/lioioubpoQY6xQp5aAEPGtw9MfJnvEWABMWZl0+NsVhGRleu35DQYDnRLjuPacnkw8tSPzlu3mwTeWN+jb/ChoiUi1qgpb9pBVbdiKqnqFd1dDiZXP6xi47I+BivdadDeU6FRfLe6VKCLVMBrZ95//Udi1OwDhu3fS4cbLMeTnefU0IQYDp/Vty+QxKWzcnUHqoYa72ryCloh4pLrOlj10Hc0xl90ax7FL5eqxlVUbthy6W47PUTk8uTpP5c4WVAxontBq8iLVs8TEkPrfjyiJbwlAk99Xk3zrtRiKi71+rrYtbctIbE7N8Ppze4uCloh4bNSAeFpHHSUmykDb5iFlHSrHzhZ4NpToLmwBLsOWq6HE2EhDWWhyDE/2xzrWWJljFw0q3v6nuuClsCVStZL2yaS+/Rnm6BgAYpYspN09f3e6TU+dzlFq5quF22keG8Fpfdp67Xm9TUFLRGps1IB4oGJoss+HcpyIbu9uuQpb7kKQu2FEd/O2Kne2POluVT6fy8n21QQuhS2RqhX27EPq/z7GEm5bIqLpvNkkPjgNLJY6P/fm1Axe/Hw9+47kcM+VA4iLDq/zc/qKgpaI1Iq7oURX3E1Cd3ysq8dXDmiehC1Xj6/uPO7CFlQ9rKiwJVK1/EFD2fvKO1hNtkUOmn/xMYkP3FmrzpbVamXv4Wzen7eJD+dvpn2rGF65ZzS9OrfwctXepeUdRKTWHJdhiIkyEFN2656KVyRWWAIisuLSD/bHugs09gBkP94ethzPa39s5WHEyipPpndUYamJSlc5Ol7VWJmWgBCpWs7IM9j33Ou0v/smDGYzzb/6FIPZzP6nXwJj9csymM0W/tqVzvI/D7LvaC5tWjThvqsHcWrvNgGxaKmClojUieN6W67WzXKchO64HZxv3wNVr5lVOWy5Om/lc1R4vH2F+CpuERQbaXC6x2LZ85zojrmiW/eIuJc14XyshhCS7v4bhtJSmn0zE4PZzL5nXgGT6yhyPKeQtZuPsnbrEbJyi+nTpQXXntOTAd1bERLS8AOWnYKWiHhF5UVGYyIMbm/BU13YAjeByyHoOE6Sr7y4qb1r5rgEROUAVTlIOXbDFLZEvC/7rHPZazLR/o7rCSkpoel3X2EoLGDff/6L9cQ8LrPZwuY9x1mz+TDb92YSEW5iRP92TDytIx3aBN59DkFztETEi1wtxeBqTpR9m9tb97hYN8uu8pwtp/O6eJzj1YkVVpR3c2zZuaqYt+VuqFPztkTcyz5jAntfeQ9LaBgAcT/No8PUS8g7fIwFq/cy4+O1fPLDFgBunXwy7z98Jrdc1DdgQxYoaImIl7laiqHy1YWVFxt1FVqqClzVhi03k98rnLNS4LIf61ib/Vh3qgpbClwiruWMHkfqm59gPnFT8uhVy0mYNJGNyzYytHcbXpo2kufuGMG4wclEhgf+wJuCloj4RFXBp3IAquqGz57cl9AxbLnrbrm64rBy2KrqOHW3RLxnU+d+vHjjc2RH2NbZ6nRsN/+b9wi39oumY9s4P1fnXQpaIuIzVQWfylwt/+AU1qoIXY6hxt1q8u7Oa1dVfZWPddqnsCVSrfSsAt6ds5H/fr2BnW1T2PHpHKxJSQCE7N4FgwfD4sV+rtK7FLRExOdcBZ+qAo2dq8nlVQUuV2Gr7DHVhTwX3S13x7rdp6FEEZesVitrtxzh5S/Wk51XzL1TBvLytFH0P384hmXLoGdP24EZGTB2LLz3nl/r9SYFLRGpF07dLRfhx9W9Byvfgqc6VYUtcH+1of38lZeCcKW6sKXulkg5q9XKt0t28dXCHQw7OZGXpo3k9L6J5Us0tGsHy5bBmWfaPi4pgWuvhfvv98oq8v6moCUi9cpd+HEKXW4mvHsSuCqHraqGEl0tBeEYtqrqglVFYUvE5reNh1m58TC3XtyXOy/tT1REqPNBcXEwZw7cckv5tqefhosvhvz8+ivWBxS0RKTeuQo/1XHXqarJOe08Gb70pLtV1SR5cN/dUtiSxiKvoIR5y3Zz9ukdOXNIh6oPNpnglVfg5Zch5EQ8mTULhg+Hgwd9XquvKGiJiN84hZ8o98s4gPtOlSuuwoyr81W+2tDe2XLV3XKnNt0tzduSxmD3wSzMFiuTRnb1/EG33gpz50KM7YpE1q6FU06Bdet8U6SPKWiJiF9VDkyOVxhWdW9Bd4/35HyOqroq0R647J0rTztgLvdrKFEaoeM5RYSFhtCiaUTNHjh+PCxfDsnJto8PHIDTT4fZs71fpI8paIlIg1DbCe+VH+/45inHoURX62g5Bq7qaChRpFxCsyiKSywcSs+r+YN79YKVK2HIENvH+flwwQXw7LNgrf7/YkOhoCUiDUpdwlZdzuFqKLGyyqvGu1Ob7paGEiUYJbWOITzMyLxlqbV7glatYOFCuOwy28dWK9xzD9x4IxQXe61OX1LQEpEGpzZXF9bmHK5UF7YAt2HL1e17Kr+V7dNQojQCkeEmTu/blrnLdrH3cHbtniQiAj7+GB59tHzbW2/ZhhczMrxTqA8paIlIg1XTIcDaPL8rlYcSKzuaY3bZ3XJ3v0RHlcOWhhIl2A3rm0h8XCT/encVuQUltXsSgwEeegg+/RTCw23bFi6EoUNh+3bvFesDCloi0uBVFbjqGkqqCluAU9g6mmMu+9dV4HL3viNPulsKWxIswkKNXDm+O5k5RTz21gryahu2AC69FBYtgoQE28fbttlu27NokTdK9QkFLREJGK4Cly87Xq7CVkKMscIxlQOXu4n0rngSthS4JBjEx0Vy9YSTSD2UwwOvLyMzp6j2TzZkiG2SfK9eto+PH4dx4+CDD7xTrJcpaIlIwKnNlYWePJ8rjpPk3YUtqBi4XHEXuDSUKI1FUusYrj+vF8eO53P7cwvZsDOt9k/WoYPttj1nnWX7uKQErr4aHn64wV2RqKAlInJCVcHNHrYSm9l+bLoKW1AeuNxxF7Y0lCiNQZv4JtxyUV+axUbwz9eX8dH3mykucf//pUqxsfDtt/D3v5dve+wxuOoqKKpDx8zLFLRERBx40iVLbBZCbKTBbdiCqgOXp92tyhS2JBjENgln6tk9GT2gPV/+vJ1bn13Iuq1Ha/dk9tv2PP+8bcI82K5QPOMMSE/3XtF1oKAlIlKJq7BVOfjYhxIdw9ahzIIKb1AxcNnft3/sKnBVN5SoeVsSDEJCDIwZlMStF59MZLiJh/63gn+9s5I9tVkCwmCAu+6y3RcxMtK2bckS2xWJO3d6t/BaUNASEXHB1a16KnMVthxVDlyOKgcuRxpKlMaiVfMorjunJ5PHdGX7vkxum7GQ5z5ey6G0Wqwkf/75sHgxtG5t+3j7dttte/7806s115SCloiIG54MIzqGrTZNI10e4xi4KqtJd6syhS0JBgaDgZNTErjz0n6cM6wTv289yk1P/8yzH68h9VANO1wDB8Jvv8FJJ9k+PnwYhg+HpUu9X7iHFLRERKpQ+YbXrngStooyD1QZtjzpbrkbShQJBiZjCEN6teHuy/oz4bQO/LE9jdueXcgjb67gr51pWD29mjA52TZ0aL9HYlaWbfmHefN8V3wVFLRERKpRm7BlD1xFmQcoyjxQ9n5q6o5qA1dNu1uatyXBJCzUyKm92zLtsv5cPLor+4/mcv9ry7jrP7+y6Pf9lJot1T9J8+awYIEtYAEUFMB558FXX/m2eBcUtEREPOBJ2ALKwpY9cIU3TXQ6xt7dqulwooYSpTExGkPo1y2B2yafzDUTT8JgMPDcx2u5/omf+OqX7dXfzqdJE/juO5g82fZxaaltZfnZs31fvAMFLRERD9UkbDl2txzDVmnuUUpzj5Z1utwFLnfDiQpb0tiEGAykJDVj6jk9uX3yySS3juWj7zdz7WM/8OY3GzicXsXE+bAw+OQTuOYa28elpXDxxTB3br3UDgpaIiI1UjlsedLdcgxbpmjbPdry9q8ib/+qCoHLFVfdLc3bksaqdXwTLhrdlXuuHMiQXm1YsHovNz61gGc+XM3ug1muH2Q0wltvwZVX2j4uKYFJk+CHH+qlZgUtEZEacrf0Q0yEc+hy19myc+xwVV6Dy6423S3N25JgFhMVxrjByUy/ciDnnN6Jv3alc/tzi3jsrd/Ykprh/ACjEd591zZ0CFBcbAtba9b4vFYFLRGRWqhL2DJFJxDetAPhTTtQlJlKUWbqiQ7XurKJ8+4CFzh3t+w0lCiNTVio0Xal4qX9uXhMV/YeyeGel5fwyJsrnDtcJhN8+CFceKHt4/x8OPtsSE31aY0KWiIitVTXsFVZUWZqWXfLrnLgctXdqjyUWJnClgQ7ozGEfim2ifOXntGNPYdzuOO5RTz38VqOHs8vP9Bkst2iZ9gw28dHjsDEiZCT47PaFLREROqgNmGrb/toOnToUtbZcuSquwWuAxe47m5p3pY0ViEGA326tOCOySdz7vDOrN1ylL8/8wuzF+/EbF8WIjwcvvkGunWzfbxpE9xwA3i6TldNa/LJs4qINCKuwlZMlMFl2LJLiDHSoUMXmrTr5xS2oDxwOYYtcL6tj6vulp3CljRWRmMIg3u25q7L+tEvJYG3Z//FtBcXs+/Iic5V8+YwZw7Exto+/vxz282pfUBBS0TEC1zdrscettwFLvtQYpN2/WjS7hSXx7jqbgFVdreqGkrUJHlpTCLCTJw7rBM3TepDTn4xd73wK4vX7bft7NIF3nuv/OB77oGtW71eg4KWiIiXuAtbUD6UGBtZMXQ5zttyF7Ycu1vuhhOr6m5p3pY0du1bxXDzhX3pntyMGR+t5b05G2239LngArjjDttBRUVw/fVg8WDl+RpQ0BIR8SJvhC1XQ4lg624BLgOXXVVhS0OJ0piFhxqZPCaFCad24KuFO3j9qz+xWKzw5JPQubPtoKVL4c03vXpeBS0RES+ra9hyNUneLm//KkpzjwJU293ydChRpLEwGAyc3jeRSSO78P2KVN7+9i+IirItaGr36KO2pR+8REFLRMQH3M7Zcpi3VTlsAbRpGlk2Sb66oUTb+7XrbjlS2JLGZmCPVpwzrBPfLtnFd0t2wciRtmFEgEOH4OWXvXYuBS0RER9xFbagYnfLMWwlxBjL3q9u3hY4d7dc3T/RsbsFVYctBS5pTIb0asNpfdry1uy/+GtnGvzrX2A48f/xhRdst+rxAgUtEREf8jRs2QOXu7DlbijRvshpxW3lq8vbVR5KBM3bEhk/tAPJbWJ45sM1ZLbvDOefb9tx+DDMm+eVcyhoiYj4mCdhy7G75TpsuV5vC8qHEktzj2K0lNL9+DbG/PkuE39/g14r3iV622+EmEsqDCVq3pYIGEMMXDK2GyWlFp77ZC2W664v3/nuu145h4KWiEg9cBe2HFUVtoAq520BtD/2B9dt+ZBxBxbRKTuVdvmH6JC+mdHbZnHGT4/T6simGg0lijQGsU3CmDw2hT+2HeNLYwdIOHF7rF9+gdLSOj+/gpaIiJdUN8+pJmHLfrseO3vYcjdvq0tJFhfl7SbcYptXYv/hbv83rLSQU1a/R9jOdYD7ocTKn49IY9ClXVNGD2zPRz9tJ2PAUNvGnBz4/fc6P7eCloiIl0wc1p6Jw9pXGbjc3RuxwjaHJSCqClv2oUSj1cLZ+XsBcHfTH/v2Udu/5mhGNlBxorx9KFFhSxqrUQPb0y25GbMsieUb16yp8/MqaImI+Ii7wOVp2LJ3t9yFLft6Wz1KMom0mt2GLDsDEF5aSPu9y5yuTHQcSqw8SV5XJEpjEGIwMHlMCtmt25Vv3L+/7s9b52cQEZEquQoqnoQtoNqw1aRdP3qYQvD0piEWoHP2bqcrEzWUKAIR4SaGnz247GPzPgUtEZEGx91cLFdhy/HY6sJWlwRTWeCyhy2AKDz/YR4ChBflUpp7tMK6W+A8lAjOYWvh2nQPzyQSmGLimpS9v3Fnmu02PXWgoCUi4gOehq3Kx1YVtip3t+xhqzA0skYdrUJjKECFxU5dDSW6m7d1OD/Bw7OJBJ6QwvL15w7mmvlg3qa6PV9dCxIREdcqd6zsqhtKdBe2wHkosU3TSFLje9Soo7WZ0LKPS3OPuu1uVTVvS50tCVamY0fK3m/VqS1fLdzBot9rP4SooCUi4mM1GUq0q0nYyu88gCJTBNUNcFiBAoORLaFNKcpMrbCvcncLqp+3pUnyEowiNm8sez/+tIGc3LUlr36xnkNpebV6vqAOWj/99BPdunVz+3bXXXf5u0QRaSRqG7aqGkpMbBZClwQTLZpGsL7fpQBuw5Z9+5yoJMwG249+V2HL3t2yDyV6Mm9LYUuCSdQf5WtnFXXvybnDO9EkMpSXZ67Haq35fC2TN4traDZutKXSU045hVatWjnt79evX32XJCKNmH2NrcrmLtlXIWDZ37cfGxNlcAo3dvY1t7K79GaV9WpOXv854aWFWLD9JW3/tygklO8i27EjNK7C4+1hy/H2Po73TjxEIm2aRp64fY+xwmMdQ2Dlz0EkEBkK8olZuhCA0mbxFHbtToTJxMRTO/LB/M38vvUoA7o754mqBHXQ2rx5MwAPPfQQXbt29XM1IiLOIcrO/nHlwFWjsNW1Dz+1TCFq51qSDv9ORGkRhaZwdsZ2ZEtINOYQI1TqYtk5drfCm3agNPcopugEW3erUtiKjTSUdbcUtiSYxCxaQEhBPgDZZ5wFJltM6pbcjPatYvhuyS4FLUcbN24kMjKSTp06+bsUEZEKatLdcgxb4Dx0B+VXJUIER1OGsCllCIcyC8rWyzKf6FLZO1eVhw0dudp3CPtq2ZEczal4L0bH2hS2JJC1eP+/Ze9nnXVe2fsGg4E+nVvw46o9FBSVEhnueXwK2jlaaWlpHDt2jO7du2M0Gqt/gIhIPavNvC2oeqK8fd5WQoyRNk0jCW9qC0im6ARM0eXLMjgOFbpjD1z2eVvgvMCpu0nyIoEmau1KmqxdBUBhSg9yTxtRYX/7VtGUlFo4mpFfo+cN2qBln5/VunVr/v3vf3PmmWfSu3dvRo8ezb///W+ysrL8XKGIiPslIFwd56i6ifL2qxIdw1Zl4U07VBu4KoctV1clulpvS1ckSkCxWmn9zKNlHx677u9gqPj/K9Rka9oUFpfW6KmDNmht2mRbYGz+/PnMnDmTjh070r9/f7KysnjnnXeYPHkyx44d83OVIiI29sBVVehytd9d4HIXthy7WnY1CVu2j6teb8uRwpYEgqazv6DJ76sBKOzUhayzJzkdc+zEaz6hWVSNnjto52jZJ8KPGDGC5557jpiYGAAyMjK46667+O2333jwwQd54403avzcVquV/PyatQ6DQUFBQYV/pfHRa6B+jBoQX+XPmFED4p0WDHU1Wd4+ST420gREOsyzqnhlIVQ/d6soM7VskrxdVfO2Kk+SHzUg3u3nI74RFVWzQFBZUXERhUVeKqYBM6Wn0fqph8s+3nPvIxRYLVBUWOG4LalpJDSLINxkKfv/6cnX2GCtzaIQAaC4uJh9+/bRtm1bIiMjK+w7cuQI48ePJz8/n59//pl27dq5eRZnGzZsoLi42NvliojUmLtb4biaLJ9TaFt49GiOuWySfOWwZVfVRHnH7pcpOqGsU2a/HVBCjO2qRHvIcwxcraNcn098Y8CAAbV63IYNGziSkc/+tCKiI4N8jrPVyqmP3UvbVcsBODB0OCv+70mnw3ILzXy9/Dhj+sZx2kkxZds9+RoHbUcrLCyMzp07u9zXqlUrTjrpJNasWcPGjRtrFLQAQkND6dKlizfKDCgFBQWkpqbSoUMHp/AqjYNeAw3LYTe3wXF1daI9+NjWwirvbrkKW1V1t+ydrcqPdbXeVkyErctmr+dwfoI6WwEksV0iTaPD/V2GTyV8/G5ZyCpp3oKjT71AcouWFY6xWq18+tMOoqNCufLs/kTU4IpDCOKgVZ0WLVoAtRsCMRgMdW7JBrLIyMhG/fmLXgMNxcRhUVXOgaocuGoylAi2wOVJ2HK33pb9nI5ha+HadC3/ECDCw8KJCI/wdxk+0+S3pSTNeKzs4wP/fglTYnunYPTr7/vZsT+bR24YQvNmsTU+T1BOhi8qKuLBBx/klltuobCw0OUx+/bZfji1bt26PksTEal3jsN39rDVJcFE3/bRdOjQhfCmiS4nyYP7KxMdA1jlSfL2W/foikRpqEL3ppJ0+3UYSm1XEB677hZyRp7hdNyazUf4YeUeLhmbUuOFSu2CMmiFh4ezaNEiFixYwNKlS532b9myhS1bthATE8PJJ59c/wWKiHiJp90hx6sT7YubVr4q0V3YguqXgnAMW0BZ2NpxtLQ8cOmKRGkAjOnH6HjdJZiOZwCQM3w0h+950Om4NZuP8PWiHZw1tANXjO9e6/MFZdACuPRS2w1Wn3zyybLuFdgWMn3ggQcwm81cd911REQEb1tURBqHmgzFVe5uVQ5bTdr1q3XgchW2oNJ6W/nO3S2R+hKSk0PH6y4lPHUXYFvKYe9//gcOC5tbrVZ+XrOXWYt2cObQZG6a1AeDwf0iwdUJ2jlaN9xwA2vWrGH58uWcffbZDBgwgLCwMFauXEl+fj5nnnkmN954o7/LFBHxCne39HHFce5W5XlbQLVzt6DihPnKN6S2z9kKb5rIocyCaudt6bY9Uh9C8nJJ/tsVRG78E4CSVm1IffcLLLHlN1ovLjHzza87Wb/9GFee1Z3JY1LqFLIgiINWWFgYb775Jh999BGzZ89m7dq1hISE0LVrVy6++GIuuuiiOn/xREQakpqELShfeysmwnaT6C4JphOLj9omyhdlHnDZ3XIMX666Wwpb0tCE5ObS4fpLym6xU9q0Gbvf/YKStuWrDhzPLuTjH7aQllXAPVcOYHi/mq1I4E7QBi0Ak8nENddcwzXXXOPvUkRE6kVdwlY52xIQNO1S4cbU9gBlD1/uul2Ox5YNI7q4ItGxBlDYEt8Iycmm49RLiFq/BgBzbBypb39OUdduZcds3JXOrEU7iGkSxrO3D6dj2zh3T1fz83vtmUREpEGoaVipPFHePm+rutv3VDWXCyoGMU9v26MrEsWbQrIy6XjNRWUhq7RpM3Z9MIuCPv0AKCk18+2SXXz8wxZO7tqSF+8e6dWQBUHe0RIRaazsYctb3S37vC17h8quuu6WvbNlf6wnnS173epuSV2YDh2k43WXELF9CwClzeLZ/f6XFPboBcDBY7l88ct2MrILuemC3kw4raNPphQpaImIBLG6ztuKjTRQNpQItQpcrsKWjf3uAu7vkaiwJbURvn0rHaZOJuzwQQBK4luy+4OvKErpgdlsYfH6A/yyZh9JrWN46LoRJLWu+UKkntLQoYhIkPMkrDge4269LftQIlA2nFhZdcOJoOUfxLei1q6k02Vnl4WsoqQO7Pp8DkUpPTicnscbX//Jz6v3MWlUF567w7chCxS0REQahYnD2lcZuCp3j1zN23Jcc8s+d8tV4HKcMG9XudNVVdgCFLakVmJ/mEPHqy/ClJUJQEHPPuz6fC55icn88NseXvnyD0JCQnj2jmFMmXASoSbfxyANHYqINCJVDSU6hi37Me6HEsHVuluOQ4rVdbe0/IN4jdVKy/++SOvnnijblHPaSPa+8i5bMkr49of1ZOcVcekZ3bhodBdCTcYqnsy71NESEWlkqutsVT7GsbMFVOhuAWXDiYDbLld11NmS2jIUFdHu3lsrhKzj513Muufe5v2l+3hv7iYSE6J55Z7RXDauW72GLFBHS0SkUfLkqkTHYxwnqQPuu1snApM9bFWeNF+Zvatlf6wna2051iaNmzE9jeRbr6HJmpVl2/bffi+fD7qIpV9tpGl0GPdOGchpfdr6bZFydbRERBoxV3O3Koev2na3wLMOl2MY82StLVc1SuMTvn0rXS4aXxayLBGRLLjnWe6JGc6yDYe4cFQXXr93DKf3TfTrnWDU0RIRkWo7RI5zuyrP2wKq7G5B9R2uqjpbsZHl59HyDwIQveQXkm6/HmNuDgD5zVvy7OSHWGNuz6ierbnqrB60qBT6/UUdLRER8cjEYe0ZNSAeKL8q0b4EBNjDFhW6W646XJ5QZ0vcif/wLTpcf1lZyNrbtgt/v/ApzP0G8MLdI7nrsv4NJmSBOloiIlJDraOOcjjfdkWh66sSwd7dOppjLgtb1c3fcuxqOXLV2bKfG9TZajRKS2n7xD+J/+idsk0rOg/m2xsfYdqkgfTu0sKPxbmnjpaIiNTYqAHxZeHGsbtlV7m7Bc4drurmbzkOPVbubIGuSGxMQnKy6XDDZRVC1g8jL4OvvuTJe85ssCELFLRERKQOnBY5rTSU6LiqvJ27wOUqdClsSejeVDpcOJ6YpYsAKDWa2Pzwc4z9+WOG9m3n14nunlDQEhGROqnqqkTwPHC5U9OwpcAVRJYvo/15Z9Bk93YAiuOawU8/0eORuzGGNOyAZaegJSIidea4TISrifLgejgRPA9cdtWFLVB3K9AVl5jZ/+KbdJt6MU1yMwGwdOtO2NrVmEaN9GdpNaagJSIiXlPb7hZUHbgcu1qgsBWsLFYrazcfJvWmaZz1ygOEmUtsO0aPJmTFcujc2b8F1oKCloiIeJW7sOWNwOVIYSu47DmUzVufr6HD9Fu4cPHH5TtuuAG+/x6aNfNfcXWg5R1ERMTrXN2+p/Iip2ALXNkFVhJijCeWcSjn6XBidoG1bOmHyjejtteg5R8artz8YuavSGXn+h08/v0zdErdaNthMMCMGXD33bb3A5Q6WiIi4jN17W5Vxx7O1NkKPBarlZUbD/Ofz9aR9edm/jfn4fKQFRUFs2bBtGkBHbJAQUtERHzMaQkILwcuha3Ak55VwNvf/sXsxTs5Ly6H/3z5T5rsT7XtbNsWliyB88/3Z4leo6AlIiI+V/nm1Y5De1VdnVjTDpfCVsNmsVpZ9udBXpq5nrzCUv5zsoUrnriRkKNHbAf06AErVkD//v4t1IsUtEREpN64624BLhc7Bc8Cl+P8LoWthik7r4j35mxi7rLdnDkkmdc7ZdDl+kshx3bPQoYOhaVLISnJv4V6mYKWiIjUq6q6W1C3wFWZwlbDsHVPBi/NXE96VgGP3jiUvx1eRtgVl0Fxse2As8+GBQugeXP/FuoDCloiIuIXVXW3oPrAVfnNkb2r5Uhhq/6ZLVZ+XLmH9+dtpmfHeF7+xyj6z/kQ/v53sJ74flx7LXz9tW0CfBBS0BIREb+prrsFzgueeqryECIobNWngqJS3p+7icXrDnD1xJP4v6mDiXvlP/CPf5QfdO+98PbbYAre1aYUtERExO9q293ylMJW/Tp2PJ/XZ/3J4fQ8HvvbUC4a3ZWQJ5+A++8vP+jxx+HppwN++YbqKGiJiEiDUHlRUU8Dl6ehyzFsVaaw5T17DmXz3282EBlm5Pk7R9C3a0tbqHrwwfKDnnoK/u///FdkPVLQEhGRBqPyUCK4H050tQZX5Td3Kne1QGHLGzbvTuedORvp2DaOZ24fTpsWTeCll+Chh8oPevZZuO8+/xVZzxS0RESkwfGkuwXOgas6VQ0hgsJWXfy5I42Pf9zKwB6teOzGoURHhsKHH8Idd5Qf9OyzttXeGxEFLRERaZDcdbe8EbjsFLa844/tx/h8wVaGn5zIvVcNJCzUCN9+a7ui0O7BBxtdyAIFLRERaeBc3RDam4FLYatuNu1O54uftzOyfzvuvKw/RmMI/PYbTJ4M5hMLyd5yCzz6qH8L9RMFLRERafBcdbegPHC5mzRfOXTVJIQpbFVv98EsPvtpK0N7t+GOS/phDDHA3r22+xQWFdkOuvxy2zytIL+60B0FLRERCRiuwpadqw4XuA9djlx1tUBhqypHj+fz8fdb6NEhnmlXDLB1snJz4dxz4ciJexeOHAnvvgshjTduNN7PXEREApK77ha473B5QmHLcwVFpXw0fzPxTSN54NpTCDWFgMUCV10Ff/xhO6hLF/jySwgL82+xfqagJSIiAamq7ha4n8dVGwpb5SxWK58v2EZBsZkHpw62XV0IMGMGfPON7f24OPjuO4iP91udDYWCloiIBKzqwhZ4L3ApbNksXneA7XuPM/3KgbZ1sgCWL4d//tP2vsEAn38O3bv7r8gGREFLREQCWlVDiY6qC1ze6n4Fs31Hcliwai8XjelK/+4Jto0ZGXDZZeVXGP7zn3Dmmf4rsoFR0BIRkaBQ08BV+c0TjbmrVVJq5stfttO5XRxXnHmiW2W1wo032q40BBg2DB5+2H9FNkAKWiIiElQ8CVt10VjD1i9r9pGZW8Rd9rWyAL76yvYG0Lw5fPIJmEz+K7IBUtASEZGg42l3q7YaW9g6ejyfJX8cZPLYFNq3irFtzMiAW28tP+j116FdO/8U2IApaImISNBS2PKOectTSWgWyaSRXco33nNP+XpZ554LF1/sn+IaOAUtEREJar7ubgW7nQcy2bb3ONdM7Gm7hyHA0qXwzju292Nj4bXXGu3K79VR0BIRkUbBF4GrMXS1Fq7dT+fEOE7t08a2wWqFf/yj/ICnn4bERP8UFwAUtEREpFHxduAK5rC170gOuw5kcckZKRjsHasvvoCVK23v9+xpu+pQ3FLQEhGRRknDidX77a9DJDSPYnDPE92s4mK4//7yA555BoxG/xQXIBS0RESk0bJ3t+oauoKxq1VUbOavXemMH5JMSMiJbtaHH8KuXbb3R4+Gs87yX4EBQotdiIiIULHDFYzBqaa2pGZQUmphRP8TSzZYLLb7Gdo9+aQmwHtAQUtERKSSyh2uxhi8NqVm0LV9UxKaRdk2zJ4NW7fa3h8xAgYP9l9xAURBS0REpBqNcT7X/qO5XHpGt/INjt2se++t/4IClOZoiYiIiEu9u8Tb3vnzT1ix4sTG3jB+vP+KCjAKWiIiIuJSl3ZNbe+8/Xb5xptu0tysGlDQEhERESfGEANREaFQVAQffWTbGBEBl1/u38ICjIKWiIiIOGmXEG17Z84c2w2kAS68EJo29VtNgUhBS0RERJwkND9xteFXX5VvnDLFP8UEMAUtERERcRIfF2lbCX7uXNuGpk1h1Ci/1hSIFLRERETESVx0GCxcCNnZtg1nnw2hof4tKgApaImIiIiT6MjQ8m4WwPnn+62WQKagJSIiIk4iw0NtHS2AkBAYO9a/BQUoBS0RERFxEp2XCX/9ZftgwACIi/NrPYFKQUtERESctFj3W/kHmgRfawpaIiIi4iT2r3XlH4wY4b9CApyCloiIiDiJ3vhH+QeDBvmvkACnoCUiIiIVWa1Ebdpgez85GVq29G89AUxBS0RERCowWswY8/NsHwwY4N9iApyCloiIiFRgspSWf9C7t/8KCQIKWiIiIlKByWwu/6BbN/8VEgRM/i7A11atWsUbb7zB5s2bKSwspFu3bkyZMoUJEyb4uzQREZEGyejY0VLQqpOgDlrffvst06dPx2QyMXjwYIxGIytWrOCuu+5ix44d3H777f4uUUREpMExWRw6Wikp/iskCARt0EpLS+PBBx8kMjKSjz76iJ49ewKwc+dOpkyZwmuvvcaYMWPKtouIiIhN2RytxESIjvZvMQEuaOdoffzxxxQWFnLllVdWCFOdO3fm7rvvxmq18v777/uxQhERkYbJYLHY3klO9m8hQSBog9avv/4KwFgXN8EcO3YsBoOBRYsW1XNVIiIiAaRtW39XEPCCMmhZrVZ27NgBQNeuXZ32x8XF0aJFC7Kysjhy5Eh9lyciIhIYEhP9XUHAC8qglZWVRVFREU2aNCEqKsrlMQkJCYBtLpeIiIi4oI5WnQXlZPiCggIAIiMj3R4THh4OQH5+fo2f32q11upxgc7+dbX/K42PXgOi10DgcNdoqImiFi0wN8Lfd57y5GsclEErJMTWqDMYDNUea7FP+PNQSUkJVquVzZs316q2YJCamurvEsTP9BoQvQYavujoaLrVcQ2s1NJSchvx77vqDPDg9kRBGbSaNGkCQGFhodtjioqKgJonfnt4Cw0NrWV1IiIiDVdYWBh07w5WK1qqtO6CNmg1adKEnJwcCgsLiYiIcDrm6NGjQPlcLU/169fPKzWKiIg0RHXtgklFQTkZ3mAwlF1tuHPnTqf9mZmZpKWlERcXR6tWreq7PBEREWkkgjJoAQwbNgyABQsWOO1bsGABVquV4cOH13dZIiIi0ogEbdC66KKLiIyM5L333uP3338v275r1y5eeOEFAK6//no/VSciIiKNgcFqtVr9XYSvfPHFFzz44IOEhIQwePBgwsLCWLFiBUVFRUybNo0bb7zR3yWKiIhIEAvqoAWwZMkS/ve///HXX39hNBrp0qULU6dOZdy4cf4uTURERIJc0ActEREREX8J2jlaIiIiIv6moCUiIiLiIwpaIiIiIj6ioCUiIiLiIwpaIiIiIj6ioCVVslqtzJw5k0mTJtGnTx8GDBjA5ZdfzjfffOP2MWlpaTz22GOcccYZ9OnThzFjxjBjxgxyc3Prr3DxGovFwueff84ll1xC//796d27N2eeeSYzZswgOzvb5WP27dvH9OnTGTVqFH369OGss87iv//9LyUlJfVcvXjbqlWr6N69O1988YXbY3Jzc/nPf/7D+PHj6dOnD8OHD+fhhx8mPT29HisVaRi0vINU6bHHHuPjjz8mMjKSAQMGYDAYWLt2Lfn5+UyaNImnnnqqwvFHjx7l0ksv5cCBA6SkpNCxY0c2bNjAwYMHSUlJ4dNPPyU6OtpPn43UlMVi4fbbb+enn34iMjKS3r17ExUVxZ9//klGRgbJycl88skntGjRouwx27dv54orriArK4u+ffvSqlUr1qxZQ0ZGBkOHDuWtt97CZArK+9kHvV27djFlyhSOHTvGv/71Ly6++GKnY3Jzc5kyZQobN24kKSmJHj16sG3bNnbv3k2rVq2YOXMmrVu39kP1In5iFXFj0aJF1pSUFOuIESOsBw8eLNt+8OBB64gRI6wpKSnWRYsWVXjMLbfcYk1JSbE+//zzZduKioqsd9xxhzUlJcX6+OOP11v9UnczZ860pqSkWM8880zrvn37yrbn5ORY//a3v1lTUlKst99+e4XHXHDBBdaUlBTr559/XuH4K664wpqSkmJ9991366t88aLly5dbhw4dak1JSbGmpKRYZ86c6fK4J5980pqSkmKdPn26taSkxGq1Wq1ms7ls+0033VSfZYv4nYYOxa1vv/0WgNtvv502bdqUbW/Tpg1XXHEFYFt5327Pnj0sWLCANm3acNttt5VtDwsL4/HHHyc6OpovvviCvLy8evoMpK5mzZoFwH333Ue7du3KtkdHR/Pkk09iMBj4+eefKSwsBGDFihVs3LiRfv36MXnyZJfHv//++1jVSA8Y6enpPPLII0ydOpWsrCzatm3r9tjc3FxmzpxJZGQkDzzwQFnnMiQkhOnTp9O+fXt++eUX9u7dW1/li/idgpa49fTTTzN37lzGjx/vtC8/Px8Ao9FYtm3x4sVYrVZGjBjhNDQUExPD4MGDKSws5LfffvNt4eI1cXFxdOrUib59+zrta968OXFxcZSUlHD8+HEAfv31VwBGjx7tdHxSUhLdunXj4MGDbN261beFi9e88cYbfPrppyQlJfH+++8zePBgt8euWrWK/Px8Bg4cSFxcXIV9RqORUaNGAbBo0SJflizSoChoiVuhoaF06dKFqKioCtvXrVvHJ598gtFo5Jxzzinbvn37dgBSUlJcPl+XLl0A2LZtm48qFm974403mD9/Ps2aNXPat3fvXjIzMwkNDaV58+aAXgPBqH379jz88MPMmTOHgQMHVnnsjh07AOjatavL/fr+S2OkGanisWnTprFz5042b95M06ZNee655+jVq1fZ/qNHjwLQsmVLl4+3b9eVR8Hh+eefB2DUqFGEh4cDeg0EoylTpnh8rP37n5CQ4HK//fuflpZW98JEAoSCViMybdo0Nm7cWO1xffr04Zlnnqmw7fjx48yZM6fsY4PBwLZt2xg3blzZ8GFBQQEAERERLp/Xvl1ztPynLq8BR++99x7z588nMjKSO++8s2x7da8BeyDTa8A/vPX9d8c+paC6nwH240QaAwWtRuTgwYPs3r272uNcdSOaNGnC8uXLCQ8PZ+3atTzxxBO89tprZZd5Q/l8LYPBUOXzayK0/9TlNWD33nvv8dRTT2EwGHjiiSfo3Llz2T69Bho2b3z/q6Lvv4gzBa1G5NNPP631Y8PCwoiPjwdgxIgRdOzYkXPPPZevvvqKv/3tb7Rv375sLldRUZHL57BfmVZ5zpfUn7q8BqxWKzNmzODtt9/GaDTyxBNPMHHixArHVPcasG/Xa8A/6vL994T9+2r/v16ZfgZIY6TJ8FIrSUlJ9OvXD4vFwubNmwFo1aoVAMeOHXP5GPv22v61LP5TWFjI7bffzttvv01ERAQvvfQSF1xwgdNxeg00bvbvv7s5WPr+S2OkoCVuPf/889xxxx1u51OEhYUBUFpaCpRfabRz506Xx1d3RZo0TLm5uVxzzTX8+OOPNG/enA8++ICxY8e6PFavgcbN/v23X31Ymb7/0hgpaIlbv/76K99//z0LFixw2pednc369esB6NmzJwDDhg3DYDCwcOFCzGZzheNzcnJYuXIlkZGRnHLKKT6vXbyjpKSEG2+8kXXr1pGUlMTnn3/uck0tu+HDhwO4fM3s3buXbdu20aZNG7p16+azmsV/Bg4cSFRUFKtWrSInJ6fCPrPZzMKFCzEYDAwbNsxPFYrUPwUtcevSSy8F4JlnniE1NbVse1ZWFvfccw+ZmZmMHTuW5ORkABITExk1ahT79+9nxowZZRNei4uLeeihh8jLy+OSSy4hJiam3j8XqZ1XXnmFtWvX0rJlSz766COSkpKqPH7gwIH06NGDNWvW8MEHH5Rtz83N5YEHHsBqtTJ16tRqJ0tLYIqMjOTCCy8kLy+Phx56iOLiYqB8ft/+/fsZO3YsHTt29HOlIvVHN5UWtywWC3fffTfz588nLCyMAQMGYDKZ+PPPP8nKyqJnz568++67FVaAPnToEJdccglHjhyhU6dOdO3ateym0j179uTDDz+kSZMmfvysxFPHjx9n1KhRFBQU0L17d7eLUILtFj32G0tv3ryZK6+8ktzcXHr27Em7du1Ys2YN6enpjBw5kldffVU3lQ5g9913H19//XWVN5W+7LLL2LZtG4mJifTq1Yvt27eza9cuEhMT+eyzz9yusyUSjBS0pEpWq5Uvv/ySmTNnlq3m3KFDByZOnMjVV19dti6SoyNHjvDyyy+zaNGisnujjR8/nhtuuIHo6Oj6/hSkln788ccK96ys7lh7ZxNg9+7dvPTSS6xYsYKCggKSkpI4//zzueqqq8rm9klgqi5ogW1qweuvv84PP/zAsWPHaNWqFcOGDePvf/+7JsJLo6OgJSIiIuIjmqMlIiIi4iMKWiIiIiI+oqAlIiIi4iMKWiIiIiI+oqAlIiIi4iMKWiIiIiI+oqAlIiIi4iMKWiIiIiI+oqAlIiIi4iMKWiIiIiI+oju7iki92rlzJ2+99RbLly8nIyODli1bctZZZ3H77be7vHemiEgg070ORaTezJw5k8ceewyj0cigQYOIiopi5cqVZGZmMnz4cN58801/lygi4lUKWiJSL+bMmcO0adPo378/L7zwAq1atQIgPT2dSZMmcfjwYd59911OPfVUP1cqIuI9mqMlIj535MgRHnzwQRITE/nf//5XFrIA4uPjueCCCwBYuHChv0oUEfEJBS0R8blXXnmF/Px87rrrLmJiYpz2t2jRAoD9+/fXd2kiIj6loCUiPpWTk8O3335LQkICEyZMcHlMYWEhAJrJICLBRlcdiohPLViwgMLCQuLj4/nnP//p8phNmzYB0KxZs/osTUTE5xS0RMSnli9fDsCBAwf4+uuvqzy2Y8eOZe/v2bOHf/3rX6xZs4awsDDOOusspk+fTlRUlE/rFRHxJgUtEfGpDRs2ADBv3jw6d+7stL+wsJBBgwZRXFxM7969Adtw49VXX01CQgIvvPACWVlZPP3006Snp/Pyyy/Xa/0iInWhoCUiPlNaWsq+ffsAKlxp6Gj16tUUFxcTERHBgAEDAPjss8/IyMjgq6++Ij4+HoCIiAhuu+02/vrrL3r16lU/n4CISB1pMryI+ExeXh6lpaUANGnSxOUx33//PQBnnHEGYWFhACxevJghQ4aUhSyA0aNHExUVxaJFi3xbtIiIFyloiYjPGAyGsvdLSkqc9h8/fpy5c+cCcOWVV5Zt37Fjh9Mwo8lkomPHjuzcudNH1YqIeJ+Cloj4TGxsLLGxsQBs2bLFaf9zzz1HQUEBZ555JieffHLZ9uzsbJfrbcXGxpKVleWzekVEvE1BS0R8asSIEQC89tprWCwWwLZe1uuvv84XX3xB27ZtefTRR/1ZooiIz2gyvIj41G233cbPP//MwoULmThxIt27d2fTpk2kpqbSoUMH3nrrLaf1s2JjY8nJyXF6ruzsbJKTk+urdBGROlNHS0R8Kjk5mc8++4xRo0aRlpbGwoULiYyMZNq0aXz77be0b9/e6TGdO3d2motlNpvZvXu3yyUiREQaKnW0RMTnunXrxhtvvOHx8cOHD+fVV18lIyOD5s2bA7YbTufn55cNRYqIBAKDVTcXE5EGJjs7m7PPPpu2bdty8803k52dzdNPP03fvn157bXX/F2eiIjHFLREpEHavXs3//rXv1i7di3h4eGceeaZ3HvvvW7X4xIRaYgUtERERER8RJPhRURERHxEQUtERETERxS0RERERHxEQUtERETERxS0RERERHxEQUtERETERxS0RERERHxEQUtERETERxS0RERERHxEQUtERETERxS0RERERHxEQUtERETER/4fOlOMOm69VhwAAAAASUVORK5CYII=", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def plot_bootstrap_parameters(\n", " samples,\n", " pars,\n", " cov_pars,\n", " title = None,\n", " pars_labels=(r\"$\\beta_0$\", r\"$\\beta_1$\"),\n", " kind=\"kde\",\n", " fill=True,\n", " fontsize=None,\n", " figsize=(6, 5),\n", " plot_label=None,\n", " plot_label_loc=(0.1, 0.9)\n", "):\n", " \"\"\"Plot a joint bootstrap distribution with marginal normal approximations.\"\"\"\n", "\n", " fontsize = fontsize or {\"ticks\": 16, \"axes_labels\": 16, \"plot_label\": 18, \"plot_title\": 20}\n", "\n", " samples = np.asarray(samples, dtype=float)\n", " pars = np.asarray(pars, dtype=float)\n", " cov_pars = np.asarray(cov_pars, dtype=float)\n", "\n", " if samples.ndim != 2 or samples.shape[1] != 2:\n", " raise ValueError(\"samples must have shape (n_samples, 2)\")\n", " if pars.shape != (2,):\n", " raise ValueError(\"pars must have shape (2,)\")\n", " if cov_pars.shape != (2, 2):\n", " raise ValueError(\"cov_pars must have shape (2, 2)\")\n", " if np.any(np.diag(cov_pars) <= 0):\n", " raise ValueError(\"cov_pars must have positive diagonal elements\")\n", " if kind not in {\"kde\", \"scatter\"}:\n", " raise ValueError(\"kind must be 'kde' or 'scatter'\")\n", "\n", " # Remove samples containing NaN or infinite values.\n", " samples = samples[np.all(np.isfinite(samples), axis=1)]\n", "\n", " if len(samples) < 2:\n", " raise ValueError(\"At least two finite samples are required\")\n", "\n", " sns.set_theme(style=\"whitegrid\")\n", "\n", " plot_options = (\n", " {\"fill\": fill} if kind == \"kde\" else {\n", " \"alpha\": 0.25,\n", " \"marginal_kws\": {\"stat\": \"density\"},\n", " }\n", " )\n", "\n", " g = sns.jointplot(x = samples[:, 0], y = samples[:, 1],\n", " kind=kind, height=figsize[1], **plot_options,)\n", "\n", " g.figure.set_size_inches(*figsize)\n", " g.set_axis_labels(*pars_labels, fontsize=fontsize[\"axes_labels\"],)\n", " g.ax_joint.tick_params(labelsize=fontsize[\"ticks\"])\n", "\n", " # MLE point\n", " g.ax_joint.plot(*pars, \"ro\", markersize=8, label=\"MLE\", zorder=10,)\n", " g.ax_joint.legend(fontsize=fontsize[\"ticks\"])\n", "\n", " # Marginal normal approximations\n", " x = np.linspace(*g.ax_joint.get_xlim(), 300)\n", " y = np.linspace(*g.ax_joint.get_ylim(), 300)\n", "\n", " g.ax_marg_x.plot(x, norm.pdf(x, pars[0], np.sqrt(cov_pars[0, 0])), \n", " color=\"red\", linewidth=2,)\n", " g.ax_marg_y.plot(norm.pdf(y, pars[1], np.sqrt(cov_pars[1, 1])), y,\n", " color=\"red\", linewidth=2,)\n", "\n", " if plot_label is not None:\n", " g.figure.text(*plot_label_loc, plot_label, fontsize=fontsize[\"plot_label\"], ha=\"center\", va=\"center\")\n", "\n", " if title is not None:\n", " g.figure.suptitle(title, fontsize=fontsize[\"plot_title\"], y=1.02,)\n", "\n", " return g\n", "\n", "\n", "# Manually selected window around the principal distribution peak:\n", "# beta_0 in [-50, 0] and beta_1 in [0, 20]\n", "window = np.array([ [-50, 0],[0, 20],])\n", "\n", "lower = window[:, 0]\n", "upper = window[:, 1]\n", "\n", "plot_labels = {\n", " \"nonparametric\": \"(a)\",\n", " \"stratified\": \"(b)\",\n", " \"parametric\": \"(c)\",\n", "}\n", "\n", "for name, samples in bootstrap_results.items():\n", " samples = np.asarray(samples)\n", "\n", " mask_sel = np.all((samples >= lower) & (samples <= upper), axis=1, )\n", " samples_sel = samples[mask_sel]\n", "\n", " if len(samples_sel) < 2:\n", " raise ValueError( f\"Too few samples remain inside the selected window for {name!r}.\")\n", "\n", " g = plot_bootstrap_parameters(samples_sel, pars, cov_pars,\n", " pars_labels = [r\"$\\theta_{0}$\", r\"$\\theta_{1}$\"], \n", " plot_label=plot_labels.get(name))\n", "\n", " safe_name = name.lower().replace(\" \", \"_\")\n", " filename = f\"logit_{safe_name}_bootstrap.pdf\"\n", "\n", " g.figure.savefig(results_path / filename, bbox_inches=\"tight\",)\n", "\n", " plt.show()\n", " plt.close(g.figure)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Comparison of confidence bands" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def bootstrap_band(xgrid, bootstrap_pars, quantiles):\n", " values = np.vstack([logit.model(xgrid, sample) for sample in bootstrap_pars])\n", " return np.quantile(values, quantiles, axis=0)\n", "\n", "fig, ax = plt.subplots(figsize=(8, 5))\n", "for cls, label in [(0, 'NC'), (1, 'AE')]:\n", " ax.scatter(x[y == cls], y[y == cls], label=label, zorder=4)\n", "\n", "ax.plot(xp, logit.model(xp, pars), color='black', lw=2, label='logistic fit', zorder=5)\n", "\n", "bands = [\n", " ('normal', logit.get_model_quantiles_normal(xp, probs, pars, cov_pars), 'tab:red'),\n", " ('delta', logit.get_model_quantiles_delta(xp, probs, pars, cov_pars), 'tab:green'),\n", " ('non-parametric bootstrap', bootstrap_band(xp, bpars_nonpar, probs), 'tab:blue'),\n", " ('stratified bootstrap', bootstrap_band(xp, bpars_nonpar_strat, probs), 'tab:purple'),\n", " ('parametric bootstrap', bootstrap_band(xp, bpars_param, probs), 'tab:orange'),\n", "]\n", "\n", "for label, (lo, hi), color in bands:\n", " ax.fill_between(xp, lo, hi, color=color, alpha=0.12, label=f'95% CI: {label}')\n", "\n", "ax.set(xlabel='maximum SUV percentile across visits', \n", " ylabel=r'$P(\\mathrm{AE}\\mid X=x)$',\n", " title='Comparison of logistic-regression confidence bands')\n", "\n", "ax.legend(loc='best', fontsize=8)\n", "fig.tight_layout()\n", "fig.savefig(results_path / 'logit_ci_comparison.pdf', bbox_inches='tight')\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": "base (3.12.3)", "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": "3.12.3" } }, "nbformat": 4, "nbformat_minor": 5 }