From 692d761bce74f7ea3b92b8d2445d1eca972f2c56 Mon Sep 17 00:00:00 2001 From: Tobias Thomas Date: Thu, 21 Sep 2023 15:09:06 +0200 Subject: [PATCH] Upload initial version of the public repository --- .gitignore | 2 + Analysis.ipynb | 440 + NNs.ipynb | 266 + README.md | 26 + data/choices13k.csv | 14569 + data/cpc15.csv | 751 + data/synth15.csv | 488206 ++++++++++++++++++++++++++++ environment.yml | 27 + figure1.pdf | Bin 0 -> 281184 bytes models/choices_bourgin | Bin 0 -> 692481 bytes models/choices_bourgin_prior | Bin 0 -> 692472 bytes models/choices_peterson | Bin 0 -> 7898 bytes models/choices_peterson_prior | Bin 0 -> 7898 bytes models/cpc_bourgin_prior | Bin 0 -> 692476 bytes src/cognitive_prior_network.py | 285 + src/context_dependant_network.py | 87 + 16 files changed, 504659 insertions(+) create mode 100644 .gitignore create mode 100644 Analysis.ipynb create mode 100644 NNs.ipynb create mode 100644 README.md create mode 100644 data/choices13k.csv create mode 100644 data/cpc15.csv create mode 100644 data/synth15.csv create mode 100644 environment.yml create mode 100644 figure1.pdf create mode 100644 models/choices_bourgin create mode 100644 models/choices_bourgin_prior create mode 100644 models/choices_peterson create mode 100644 models/choices_peterson_prior create mode 100644 models/cpc_bourgin_prior create mode 100644 src/cognitive_prior_network.py create mode 100644 src/context_dependant_network.py diff --git a/.gitignore b/.gitignore new file mode 100644 index 0000000..69435bb --- /dev/null +++ b/.gitignore @@ -0,0 +1,2 @@ +*.pyc +.ipynb_checkpoints diff --git a/Analysis.ipynb b/Analysis.ipynb new file mode 100644 index 0000000..a3019ce --- /dev/null +++ b/Analysis.ipynb @@ -0,0 +1,440 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "567fc810", + "metadata": {}, + "source": [ + "# TITLE - Analysis\n", + "This is the notebook needed to reproduce main plots and analysis from the paper.\n", + "\n", + "Model predictions needed for most paper plots are already precomputed and stored in the csv files. The model notebook on the other hand shows how to work with the pretrained model files as well as train your own ones.\n", + "\n", + "## Imports, data loading and initial setup" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "id": "e5d3869e", + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import pandas as pd\n", + "from scipy.stats import pearsonr, norm\n", + "import matplotlib.pyplot as plt\n", + "import seaborn as sns\n", + "\n", + "from sklearn.linear_model import LinearRegression\n", + "from sklearn.preprocessing import MaxAbsScaler\n", + "from sklearn.pipeline import make_pipeline" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "847d6b07", + "metadata": {}, + "outputs": [], + "source": [ + "cpc15_df = pd.read_csv(\"data/cpc15.csv\", index_col=0)\n", + "choices_df = pd.read_csv(\"data/choices13k.csv\", index_col=0)" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "072381f8", + "metadata": {}, + "outputs": [], + "source": [ + "base_features = [\"Ha\", \"pHa\", \"La\", \"Hb\", \"pHb\", \"Lb\", \"LotNumB\",\n", + " \"LotShapeB\", \"Corr\", \"Amb\", \"Block\", \"Feedback\"]\n", + "naive_features = [\"diffEV\", \"diffSDs\", \"diffMins\", \"diffMaxs\"]\n", + "psychological_features = [\"diffUV\", \"RatioMin\", \"SignMax\", \"pBbet_Unbiased1\",\n", + " \"pBbet_UnbiasedFB\", \"pBbet_Uniform\", \"pBbet_Sign1\",\n", + " \"pBbet_SignFB\", \"Dom\", \"diffBEV0\", \"diffBEVfb\", \"diffSignEV\"]\n", + "all_features = base_features + naive_features + psychological_features" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "63284502", + "metadata": {}, + "outputs": [], + "source": [ + "plt.rcParams['svg.fonttype'] = 'none'\n", + "plt.rcParams['font.sans-serif'] = \"Arial\"\n", + "plt.rcParams['font.family'] = \"sans-serif\"\n", + "plt.rcParams.update({'font.size': 8})\n", + "params = {\n", + " 'legend.fontsize': 7,\n", + " 'axes.labelsize': 7,\n", + " 'axes.titlesize': 8,\n", + " 'xtick.labelsize': 6,\n", + " 'ytick.labelsize': 6\n", + "}\n", + "plt.rcParams.update(params)\n", + "# color codes for the three feature categories\n", + "fcolors = [\"#ff7e33\", \"#9e023e\", \"#4751de\"]" + ] + }, + { + "cell_type": "markdown", + "id": "ceb0c68d", + "metadata": {}, + "source": [ + "### Utility functions" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "0228be86", + "metadata": {}, + "outputs": [], + "source": [ + "# Helper functions to calculate confidence intervals for pearson r and R^2 values\n", + "def pearsonr_ci(r, n, alpha):\n", + " rp = np.arctanh(r)\n", + " s = 1 / np.sqrt(n-3)\n", + " ci = norm.ppf(1-(alpha/2)) * s\n", + " l = rp - ci\n", + " h = rp + ci\n", + " return np.tanh(l), np.tanh(h)\n", + "\n", + "def r_squared_ci(rsq, n, k, alpha):\n", + " return norm.ppf(1-(alpha/2)) * np.sqrt((4*rsq*(1-rsq)**2*(n-k-1)**2)/((n**2-1)*(n+3)))" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "ecc99894", + "metadata": {}, + "outputs": [], + "source": [ + "def fit_linreg(X, y):\n", + " linreg = make_pipeline(MaxAbsScaler(), LinearRegression())\n", + " linreg.fit(X, y)\n", + " y_hat = linreg.predict(X)\n", + " r_squared = pearsonr(y, y_hat)[0] ** 2\n", + " mse = np.mean((y - y_hat) ** 2)\n", + " baseline = np.mean((y - np.mean(y)) ** 2)\n", + " return baseline, mse, r_squared" + ] + }, + { + "cell_type": "markdown", + "id": "b6f7323a", + "metadata": {}, + "source": [ + "## Dataset difference\n", + "There are some obvious difference between CPC15 and choices13k, for example that CPC15 contains much more extreme behavior (all people deciding for one gamble)." + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "d6d077ac", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "_, axes = plt.subplots(1, 2, figsize=(5,2))\n", + "sns.histplot(cpc15_df, x=\"Rate\", color='k', bins=np.linspace(0,1,21), ax=axes[0])\n", + "axes[0].set_title(\"CPC15\")\n", + "sns.histplot(choices_df, x=\"Rate\", color='k', bins=np.linspace(0,1,21), ax=axes[1])\n", + "axes[1].set_title(\"choices13k\")\n", + "plt.tight_layout()" + ] + }, + { + "cell_type": "markdown", + "id": "177d0c34", + "metadata": {}, + "source": [ + "## Relating features to NN difference \n", + "First investigation which gamble or handcrafted (naive and psychological) feature can give us an insight into the difference in NN predictions.\n", + "\n", + "This section reproduces Figure 2 and S3 and Table 2." + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "064d59f6", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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HsK1vtgBfBF5R0NikY7gvoeiqGyzBew4mErH9MRPijrvgma+0+3fcBeuebfe0brUKfMnpcGC7CThUYULv6YALr7QKummZCfucF8Ld34OFaxIForLW/h/YCadsShRmH9+c45stkk07U5ktpjIN+y3pqUwdBTQf5Y2RQOUXHZl8raQ8/bOdT0w+3vM3uOD/y+69T2xOmI5Tkak3m0sl2HNwsoz8CmkqGhdNPg4qXM2021oRkWwGz5Rfk/PpVGZS/zi5oeHf45sdo8NQvyAhy0N77DgyaMpxLAJL1kK4Gh7+Daw6xyrZylqTb9My61lW1ScUpF/GF66xRnmoanIc9j9i8RsdsnD7Dtv/HXdB83JTKH79UIz4aesPS/kdjsggHNiRyPeP32dp58vz8fusQVtVD0vW2T2HdsNIP1TWwZF9UB6GbbdBRS0sOjXR21yyFoYXmUz8Rs3+RyAasXf7DR+w456D9gzY88HrQ72JeAW/x+/w+Ofg2M6Hf2+2Q3FZkEmB9gODqrpLRDK6TheEnoOJFoufaAd2WiLue8gy7VCvZVyAvkPwy0/Dqc+EsRF4+FfQuARio3D0CSivhO79UF4Ou++F4W6oONfCqJlnPVNfyCvPSvRCO/eZgg62OCtrE2be6gaLa89BKzy+woeEOTgymFB4yd5qUwkyuXIO4itqPwwoPmUaCyiEkZ6ka0kKNZnRpJ5cLAfl0n8o/fW+DNfbHsleWe++d3KF+ejt6SvQHXdDy5WB5+/Ly7jnrJCcd/0839maqAj9spBccQ31Jsoy2H0jA6aU1j/PzgfNqv7vzn2m2KKB/NBz0Crx6DCsfZYpuJ4Oe6btUWtI774PGhZYY3pNYPtcv14Zi1jFXlEL81eZ9Wqg0+K57wFYuNbqm65WOLLX6pKxEVPMdfOtPtr3kD1XrAoUEvWR3ysMVVm6+fVe32E7fmLIOhUjA5bH118CW34LrVss/corLC0ADj4GjcshVAkDh+3v7Bdbo2bXPTAxDk0rrI7d84D9r22xOEQGTdZ+YwSsV3vSOfZ/4WqTS8uqRPwWrrZ4BevA5IZL0HzsK1e/0xFs6B1HRySTAv0D8BYR+RXefoUzTnebtZL81qXfQnzEGz+LRuDJzRCqNmEMH4XSkGXko23W66ysh76DQAl07gGdgOggNJ1kYQx2mw3fZ99DVgAHj1qYa59l5zv3wfINid9rn2WCDY6TVtQkBDbcl1CwfqFPNvf5AvbPB1t8fk/FDzsodL+175tC0jk9zCajfVNfi2Qws44krRyZLqxjnu1Pfz2TMh7KYR5dsil6xZnp70+OW3k4+3fNFsEGWrDx5+dbv8dYUZPo5fmKseegVXa+Q95wX6KyGx2ySrJ+gfWAQhVWsT4eMKE3LrJ87vcIa1sS5v1tf7TKfPe9Vqn2Hra6YSwCHTtgbNTS11eevV4lveseC6fnAKw4y+7v6YCaJu/+e60XdXCXKZMR75v3PmC/l54JB3fC8jPtHEBZGKobIRYthATyg1/fHNgBq89LWODGRi1twL49XG0Ks6fD7j263/7XNEFfh/W4R/shFoO+MFQ22rNdnjWgqgn++n1YtRGGuqGkzBolPR0WB19RDvVaneorzEf+mFDkOz0ZHdpjytO3HFTW2rmFqxMdmsraRN3rO0V1t1teCzqBJjuUJnc8cnQezKRAL1TVF2YdWiEY7rMC2LHTEv3JLaYw6xdD115oPjkx9rDvIYgMADEYj8JEFBg3pTk+jO2rCuBl8N52q6QXP98E4rc8a+aZcHoOmpnCHwuobjABjgyYQA/sNAH7iq2iZrKS3f9IInMEM8Ajf7TM6wuq73DCaw0SZgpIeAf7v4MK0j8OCryYlCdAeU3i91iy0kq7yAdIxeTjcA5m1YkMvdvhDPPkRoezf5ckuRLsuMuGAKbiSJL5uP3R1PcVC8HGWnIDLejAt2RtoiI8sDPR0vd7oXsesMbkyICdG+o1xQlWbtoesV5KqMrC8Bu1wfHsI/tgzSZTciP9UNtsvUSArv3WQ4xG4NDj0HvQrE8d2+36gW2w5pnQ3Zp4p47D0XazSMQiiTHoiXHraZWFrJfJuN1ztN1rLGyzhvjev9n91c1m5YpFE/EpRjpbra7x68yOgJk8Fg3UoVg+PrTTGguxCOy6E8oq7dkFp8DgEeusjA5Z43ZiGZRWWF07NgLhCkuz8aiVp933Ws+0+SSTVVnYZOHnp533WD45uAuaV5gZ/dBuGOiyRtKTW6BxsdXN4Wqrs6PDVtYev8/q38hgokPjj+/6Jmq/TvU7NZBQqsE8ngOZFOjlIrIGGARQ1VfnFHo+2H0HtD4I0QEzo5SUmWL0K8DOPYnKsuvxxHORIWDcfsd7G2MQm0jc47cqB7pg3lIrMFX19v+kc+Cu75iZZt2FlrGqG6yC8BWjb0Z4+Dc27hoZTIyZ3Pkdu96ywu7xW3xgLSzfNLv/UcsEQ72J8QC/FVZRkzANNy5KCNkXuj/lIRvX8NlCJHCQ5ESUaUGV5PHAXHqgx00OIxZDSabp0Qy936GkCrb/YPbvmm2ClhJ/7NYfmuhuTyjPippE4/fQHqvwQhWWt/3xxr7DZuUZi3i9kppEb/wvP7AKtjxsPaPBblNm85YmTI+tD4MqlHgNmNJSOOA5E0YHAYW2v9txzFPCW3/NMflw6DA21U+9/2IWrcFh4nUIWC+sPGz1SXTUzoUrTan0H4KKehjc6b27CElubIONX3a1Wi9RSmFizOrW/nKsDJRYAyRe9nqAMBx+HOuoBNJyYtzrqABjXhqUhqzuRuDIY1BSCQcetfeUhkx+j90B85abNWC03/LDgNcbPvS4Naoevd0U+0i/5Zmj7dZQqay3uvjvv4WFp1hd7g/ttayyvLLjLjhpYyKefmfFt4r454KNwSw7Ipm8cM8EPgi8Y1aUp0+Z3xMZMyH5mTpcD8ueBoShtMrr7ZRAWTXMWwaU2rV5K4GQPVOzIBFu2Lt/oNOUW22LORjVtlglUFJmLamWFTbGEWTHnVZp9B228ZXudjM373/E7l+42lrC2/5k5qOmZSaw4T5ThkvWJlqDoaqEIHfeY4P0FTUW9lCvmbqS7faQMGf7Lahi9P7zK5qnNEkVcrgu/e1VTZOPT7skv9EpBP4YUVW9lY2WFQnHE9//AOyeJWstX1fVW5mAxD018xK9nvoFplTBylzjYut1HNln5W3ZGQknvqWnWS/E974dG7WGtI5bI218xMpbdASiQ8SrtljEri86E6oXQHUTVDZBzWJoWGnnKhqhYQVUtUDzGqhZCHWLYNEZdl/NYgurss4sX8vPsTg1LoGW1fZt81bYNzQsg7qA00sx4TeyfSeozn12rrTchrrGR61nGaq1c2XVQLkpKcqtjgVgDKoaide7QHytgdIq77dn7Vu50dKvpMLCq2qEtRdZ46iywY7LK022VQ2w8jwvLRdYfqj2GlvhamhabnVtqMKshacHnAQ3vdyUZ1nIlOfaZ1n+jEbsmYWrEwrSb0hU1lqHpe9wYjpUjmOhmXqgXwRqgR+IyEtV9U3ZBCoilwMnA2FVvS75OOvYgSV+yyroLLeM2rjUWiI9ByDSZyaCUMh6ceF5MDZsrc2Bw5iiHfd6minGJcaigJpSPrTHxrIq6sxztLvNwli4Fu79qbV4KmqtUM9baoJ64iGz6T+xGZ7uOSjPW2qZ1HcmWLLOlGrbo2Yejgxa5o0OT3ZKigyaIo9GEu7hPr6zxSmbzFQxOmQt/ZGBYz0f8zARP6/yKw8dV1zmBhOTDwczOChVJCnYJ+4zL/A8klcZBht3a5+VsIY0LjITm39P5z77q21JNABr5pmi7Dtsebu2xRSRb46rbfHGuXZbWSqvSDQE/fJQM8/GLKMjkz08558Kg53mzR0tsYZJqAqGe618RvqgpsV6V30d1hhWtXeM9kNJo5kXpcSulVVYeNGIObhF+swkWe/5IsRGrW6IDCamZHV5nuKlYXvnSI/1rI6TvMoviF9PDB61TsP+R2D+STa2OdhtyqfvEIwOWj1b02T1Y2m5pVVZtaVhbYvdPx6xXuXEqKXZ+CimVhQIWw9y8Ig5F42Pw9hQwgegpNTq64kxk3Vs1MIsKfXq82rPPDxkMj/abr3JyKDFa/e9Jgffo7csZHohFrW6dd9Dpjyf3JLwmoZER2bH3Wb+9X1r/Hzud0iyUKSZeqAxoF1V/0BKDTQlyYsgJx9nz/IzrTXassoK0JpN0LbVEjo2ZN326AAw4Y1FeZXZWGAMTAMV3FhgPCVcBZRbK7Vjp7UuS0pNAGMRawUNdEL/Ea/geCaro+0Wp3C1Ffqlp9n4TqgCjjxhv+efDIvXJhTm/FUmKN8xqLbFhHZgh2XmxkVmqlp9nv3u3Gf3d7fbn99jBWtN+Y4akJgIPdQ72eV7+uRPfr4p5ylN0nSc0orUt/n0HJh8HKpJfd/xkT8Z+nnqnBdO9oQfGTAl2LnPc9xYlXC4iwxa2Yh6Jr1wteXttkdNgZVXWP7e95Apz/IKGB8zZXnkCWt4DvVa2QPrBdUvtLGxg7vMlBodhqaVVnH6yrP/oJWtFWdBpMeU5+iwlcHScigtM2U3Pg6RXoj02/WhbjO9RnpgYsLqAPEUoe9QVrvA6pKWVVZxR/qhvMr+BruszqlsDFjMjov8yS+IP59yyTqTX22L1VtrNtn4bzRi3z4etc5KdACWbfBMtQKxMUu7gU5g1MzXEyN2rW4RUGKmYEqs5z8xbr3M6JDJbNTrIJSFLP0bvLx1aI/VvV17PVkMWSemtNzq3bZHEmPhFTXmwBUZMJ3Qtd/yZVk4YeaPDNp3bPltwmmposaU7pNbEunhz7AITiXz5x9nQSYF+iTwXBH5IdCbVYiGb9OSKY4nkXYR5EOPmzI7tNOE+uQWCIUT4x7+ID5qrRmfkkArMOgVVxLIeyNHgahl+MigtbrKK62wrjwr0cpcvNYyQlnIhBqL2jgpWOsNrHLY95C1jJasMwHsvteUYbjaCrs/Ob+nwzLgyIBVGEvW2VjRmk2mfKvqrTLwK6YDO6z17zsq9RxMOGP4FZpvw88P+ZNfsnIJUlJ5PHEsIpLGS4PjQqkoT0qTUEHSIX8yrG5IDCdU1Vv+A8tzg0dNaR7aY3l15z2Wt/2G4vINdn50yFr8Gy6xCrtpWWL4o7rByvhwr5WTkzZaT2Ogy3pDg0fhvJdY+RvoMiU60GVl8uBjVvECHNltjZHuJ2DnHd5XjybqisigVeCDh63xHI1Y2Z+YsMo34o3vlZWZoigvT4zpgfWkxkag41Ez04eqzesfYP5qU67D3fkaA81JfpDlYvK+D0VlrefNutsU0IEdVr82LbN0LSkzC9zYmHUY8Oo/AEYT4/zxulW8xtI4aAwqvJ6q35ssCVuYdfOtjgzVWNhHdluajg5B126rf3323m9jy8NHPeesw2a9qPQsOL7cY1HrUA163r4HvY3DFq62Bt6hPQlLSUWtNdb2P2LXWjzTu784ROe+Yxd5SMOULRkR+SCwDXgeUKqqGTwjJvGAiLwLGAEuDRx3qeoxtYuq3gDcALYI8qSLJaWmcEb6zR4+NmoZ3nccCjqWBE0nE4HB//HA7/KqxPSI8moz49YvNJdt3zxQUWPKLjJo4xzhagvPF1xZyITW3WYt5FjU61HWmxAP7LAKYSJmCrHC6ynOX2VKr7oh4TI+1Jswp0BiTChcbX++yWVkwITad9ha7sEVWoIm2/x44eZPfpPaaKWTL2XylH2qEpy/CIVyIsqjDLEhAz+/+cqxs9Uq3OoGq5AWrraGX/0CU7LrLrTKq2OnmQYXrrHj5Rvsfr8MRCN2bcwbL/fDikas7BzYbpX4SJ9Zdvw5mWPD5rhztB0qaxLm2vJwwjO6vBKGe4CYjc+NDwPizUmeMEUZrrfyLRWmbMtCVmdMTEDdsslTniob7b0jPdYjLSmx6z091lsK1R6f1BLkJD/IQoZ+A8hfcq9xcWIeZ8ej1vDrbjMzbGzUGgij3rdLOcSGQcJmnS0Le9alMUynxzyF5r12dAQqquxcWch66+NRk4Wfnr4DWGm5vU/CVmeGauyZ+oXmsV7TkjCNd7V691Ta9cigjZ8+enti2lF1oynkUJV1YsDyUdNSOFCfcGLzTboVNQkPcp8snTHTmQKWYisPbQVERDRbR6IUiyBPn669NtbBmHnLtUUTHnVgNnn/eNJKN4FepwZ6CP1tid++e7pP0P18/nxTnhW1dn7xOmu5hCqsIFfUWM/Rd4poXGQVg28q6DtslULjIsusQZZvgKG7TcDLNyQcM7rbLMzu9sQYqO+dC3bfwtWJ6QRBIQcXVDhOJZpX+RF0IhpPupbJADJXyTTakTRmmocxs2TyKsPgai++p7g/FcBfmWfNBXbNH086sCNhfTn78kQZaFmVmAa29lmJqQs188zbs2GBlTl/VbFY1JRmT4c1UgFWnWcLGYz0mqWpqs7Ksq8Ugw3m4S7ilfp4FGvEjZtTy8QYEDPLU6nn/Ts+nOh1jld4JmRPntFh67GODJgV7Og+M/NGo6bAS8M2hlrVcNxJnlf5+XMj7/qONRRGeq2B0bPYeoBlnjfs+DDs2+z5jIwnhl/athDvAPue8bFguVagNNEblTIz3+qEvW90hHjjubzChsr6D1lP1Few1fMSvXm/Z1kWNkfPsrDVlZGBxFjovKVeg25wcr1dWm693PoFgfH4WmtU7bzHOjbham98PWBd6G5PzJqAvIyBxoCvAFd5f6/NGFpBGIfeoNJL8uqsW5j4XRro4QTnDAaX4wrOLaxutv8DnZ65tB7Oe5kVxg2XWMJvuMQK89ioKc+WVbbyyIbLrPUTrk546PZ0JOYi+VR55uBQld3rj1uuuzAxDaa73RyElqyz3qTvHeaPPVXW2vnkScCQGNPwPSSLbR4oQeWQbH1KUiTHkHz/lNar/JM8BzUtST3rTL2QhmWTj2Ojqe8rNlpWTM6TkBjzXOKN91fWWp7ecEli+lVVvTlJrX2WXe87nHDaWL7BHPOiw+YhC2ap2X2flbOKWsvTJ220oZSxUStPS04HSs3cOjJgZba8yvMCDUxtqfR6G6FaIGYOXKVVVsGXV3gep57yFAFCdq6sOjHmKt71sNeonb/a/lfU2zSW6gbrFVXUwPw1ua2YNRP4CwtsuMy8VcurrHfZuNisauEac5RqWGnfjJinsu9hu+wsm+EgFcT7XCGv9xYvkxNeA0XMM7q01OrXcI29P1yZmLYy0GljnGND1pvvOWB1YVmlrWZUFkoo0YlxS9sVZ5oXLtj14b6Ek9M5L7R4D/fZkIA/bu4vtlAetjyz9ln2zQOdVh+vfdbkebF+7zyH9XPTKdAu4K3At4Bven+zQOlkt/+ypPEj380ZoKLB+1HuKUdPCKFa7FPDsHR9IOiQubEvXmctlYWrvbEBr0fYsCAxtuM7EPnehId2m9LrbkuYXdddaP/99TcbFyXGjxautvMtKxLu0kFXat8BKLiGbtBM6ws12bSQanWNoiKN0ss0BlqdNHWoJBellmGd3UxKLnmcMu29Sd+RvLBCMpGksWp/FZdiJZivgot4+Mf+OX8ZNb+x50+/euIhq5i62xMetlX1iakuFTXWMD3jYiuH4WpTwP59/hJuPR3W2Og7bD2J0jKrkKvnmWKMxczsWh5KzD+OjQLldr6qxSppfw/kklKrM+oXWb1S1QjLzrQGTsOSRMM7FAbKoH6J9Z5Ky6FmvlX2JWWw+HQbDopF7dqSDflL+3zgL7hyyiarYy55q1kMznmhKdPTnmvOmGUhq6f8IadwtSnNoaOWZqWlWL+qLNBx8ae7lHjzeKusPhyLWs++psmU7cS4KdiW1WbZq11g48jNJ8Hqp3um/TMtDpX11nh63hvsd+NSW+u8ss4sFYvXmlznLbX8cff3rK6uqveshWstamUhU5IL1ySm7CxcbXnspHMSnY74er19x26Ll4F0JtzfATuBWd4eohQGjmAKsNwy6ugQELPxib5DMO9k6/5XzzMhlVdat3/+qdB3IFEAddzLHCErFEvPsOW+yiusEI8OJcZolqyFR7yeb89BGyOFRMvbX8B6ybrEOUgsbLBkbWK+XP2CyYrPX9IMjl0jFCYL73j2zCsGqgJTNhYlVSyVdeRE86rs7w1aJlJRXpX+erwxlgXx1rjHvJXp769blH3YxUQwfwb34Az+9lfOCq6a5VdW/vMnnTM5XH9iu2+5qaixXuXoUEKR9h223sPKsxK/6xdZuR88YpV9WZmVe99RcChiSjJcBYvPMAV3dD/ULYCWk6B9K6y/1Hq/rVuttzk2mnCWWXWOjaGtOge2327XyyvMhDjfy8snbYStv4dFXqVeWWdxKzaCjezg72deaY6Z5RWmqIZ64aRNNs7ctNKm6ZSFvfHlLph/mlkE55/k9eS8RSQYN2/dbbeaHGqazZRdHjaFGR2y8GqbraOx4257J5jCDa2yobDlG6yhFKqyKXs1TWaRGOw2RehPR/GVJCTG5/0ep+9kefblZrZdvuHYDRyCy6z65Kg8Ib0CbQYqgSVZh1YIKmvNtNO93wSz7tnw8C+htDLh/LPFW4VibNRc4SMD1uXf9Rezw/tzm6rnmUCrG62CDTou+OM2q89LjDn6S/q1rLAFEYKOFCedY5nNN4/4lUjQdn7KpsS8TL9S8dfJ9c8nCyvV7gHJv+cSKzcmfpeFJl+rbiIt85ZPPg5Xp74vFUHLRCp8M9xULFiT/buSxzBz3ZLMN1cVO8mLxievfhXcKQmsgpoq/wb31gx69y4JVIyRwcR0Ld+iMzJgTne+1adukaV/Zb35QIx5puDYqK34VF5tym3+KntuzQUJ/wK/wjy0x3qOC9eYUtj3kA3lHNhhlW902BRIeYXVCWMRazg/ucXCPPP5ifhBwku5mPFl5Dfk/cZL0zKzqp39Yhvfblhq6TXUbT3GiZild828hDNlTQvQYqbT5lXW0Hj8bnvunBfCfbfYPfOWej4kA5Pj4jue+TvprDwrsfReRU1i553gzjH+vcH8snC1ydJvoPV4U5qCC8z4FsBUVpVp1LHpbE2vAi7GvHCfAzwrp5DzRXTExjvKyrxxyCpTgqWhhMm1cbFd23CJDTLXL7Re5zOvhBXnWiKuu8haLwvXWGGrabLCsuyMxOLFq8+bnNjh6sRxuDpROfgLFfvHwT0KkwUQ7Gn69nZ/OyGfqTbq9iuoVNfmIguTlNaiU3N7viKD2TVITQblvOqc9NdzoSlJ0a/amPo+n9Ik83Blfer7iplkU27wnE+qBT38MXv/WnCjBP9/cG3dJs9M51eelbVWXmtbrOEx2GkmyPJKsz6NRaz8L9tgY5TLzzRl6je+GheZYoTEIg/nvQTOeoH3PatMeVbWWn0QHbZ3Na9INKjHRu36yrPsXHKPOlipzwWaPCXpT//wGycDnYmVfRafbj3KxqVwxqWWDiWl1lA9/XmJXWlKy23GxCkXWr093Gf1tV/Wa1sSe4UuWWdpXL9gcl7xV7cK7sRT25IYg/cbQMFtzfxhMd/a4a/BfMqmyb1uONbil7wPcw5joFP2QFX1ShH5HPAhzM3qU1mHmk8al1rLpn6xFZLd98L6y+ya79HXuDixKPWSdVbAmpba2EvDgkRPsH6h/W571Hqpyy9JFMpkE2t1gxU2XykmF4rkCgCmNrcm7wSQfD6dy3SxrW2bK/64MCRM6T41GXqJwS2nwBo72ZLp3uBKT6mYn4O5eN2zJx9nmo/rzx32Se6Zz0Uytd79a8FVs4JmXX/N6OQNE4IbKWz7k5XVUzbZ+cp689Btf8zScMXZiXAP7TFT5ELPklBRk5gq5puFIbH4uL9UZnDJTH+nEH+jaN/StOGSxG9fGVTUTO6JzxX8uPqONKNDiWlWpz/PGhB+p2XNBWZm7dpv55ZtsDLc02HjmI2LrCFyYEdiz1DfibKy1nq04G1TV5PYsaqyNtGo8sdqk61vfkfG313FJ3l3oOSNNoJb501l7UtnBcxAphUtFgNnYJ4g8zPcWxhiUaugtv3RvLWu+E946NemNP2E7KxNLGYNiUXYgz2evsOw6WWWkMvOSCjEVOvHBrcnCxZ2n6Awks8nn0t1fKKS3CNJbrknk0nJpSNTL6AyQ282ubecjuQNtNdsSn9/sAIHM23NVaZqHAZJHtOfqvwkb5zsO3kEh00gMVwSi9qCCme9wMypK8+yemKk33qVO+5OeMUn5z3fGuT/DjZUk8fC1j8vtRNfsO4INqjnUnn3lYu/NCMkNr+IRhLWuYVrLC393XCWnxEY1lqd2LLOtxBEBiePO44MJKbsBXdAgclp6o9NTqUkkxspmfKef2+BZJJJgb4NeDk2ge/t2QToLTP1X17YN6vqLu/8j4G/A79U1R1Zx/D05yUmy4IlsL/RtT+O6G+67W9s7bsiBzO4X/h870CY3DpJJp1gcj0/FUVY0PIuv3Q96Ezfn7wsYS6bFKcypwfJ1LPPZWH+ZAeFTMo5eeNfv2cEeVmdKe8yTMd08nCqZ1L1IlL9Diq7p7/Cyn5kMGHpOO8l9n9kINHzSd5MOfn9yQrTX8otXe/Fv78AjeUZlR9MTtdtfzJr3oZLzILnN2Lje3FekhjD9H1CUo0rBje6Du4YBZMbXcnplapcpus9ZvNtBSStv72qdqvq11T1G6qa1jNCRK72BHwrtjzFp4B/9q75DkkhYGDKQFKxcHVi9xJI2MGD44inbEqYXf2MkCygqcynqdY9LELFVmgKJr8gyQ2VTMtlHY8cMinITGa2XN6dq5k9uXccVNZLcjBTJzEjMiwUUzVYkyvPYMVcVZ9wNPGnhR3ak6gjfNNs0Kw3lSJMNRQzVd1RIGZNfr4Px1Cv9bb9etVfFKNp6eQV0Xx8C0EyqcbFp2oUZcN0038m5Kaqef0DzgL+CagGPuqdq8a8euuBj6R45k3AZmDz8uXLdRJHnlQd7LH/PoM9k+9JPnYEmV35OdnkxuZfJZ+Z/TJYrPh1gp/HgnVE8HwyM58nCy4/zYcMg+nSui11OhVPms4kU8pK1J9UnISIfIf4GlhxZfu6TArZMz98GtuE+yfA6cA9wMeADuC3qvrwVM9v3LhRN2/enDiRyYySfJ8jmZyW78m7/E5EjicvHrspes7LLz1lZZicrpmOi4cZLYNwnDJMVecWb9rOBFPKb0oFGr9BZAHweeBPqnpjniN2DEVbeOcuM7j+nZNfAZhR+YGTYQFwMpzbTCm/tGOgInIFth7uB2ZCeWbNXHITd0wfJ2dHrrg8M/OcwGk+pReuiHwPaAC+BKwWkdWqesdMRSwtJ64p4cTCydmRKy7PzDwncJqnGwN9jfczfoOq3lzwCIl0AhncMwEbUO8qcHSK4Z3H+94uVb0sn5FJRwr5zVaaZWKuxGtG5QezIsNChl8McS8GGWbDTJeJufK+KeWXbh7oysDv9AOleURVW7K5T0Q2q2qGNdPyy2y8czbfOx2S5VescXfxmpqZlmEhw5/LcT8esq1Hg8z0tzwV3pdOgd7k/a/CPMIeyeeLHQ6Hw+GYy6RbC7dVRM7D1sL9hKo+OHPRcjgcDoejuEnnRHQNsB74D2BERE5S1SdmLGaZueEEeedsvjcfFGvcXbyyp9BxKmT4cznuM81Mf8ucf186J6KPeD8VmwejqvrxfEfA4XA4HI65SMaFFBwOh8PhcBxLpt1Yig4RuRw4GQir6nUz8L7XAicBMWzhiWrgg6o6VsB3hoBPAH8FNgIVwGeAVwDlQLuq/rRQ7z8ekuUz0/LKIV6+XPer6jdnK15e3Hx5362qvymiNIvv/gE8jzzmPRGpxFY4OwrcheXzceAJVf3f4w3fe0dB0tGb4rcMWAIsAu7Ddk3pyNc7ZpqZynMzWZ/ORD2adiWiIuUiVf0i0OitGVloNgDdwBBwPfBn4BkFfudCYCtQC/wW84i+HFipqp8Hzi/w+4+HZPnMtLyyjZcv14I1hHLAl7fPrKWZvyOIiNyO5T9/94+85L3AjiM/BL6FrfW6CqtUo95fvihUOt6uqp/AlGgPlkaD6R8pemYqz81kfVrwenTO9UCxlgvM3PqSX/A8kseB783EC1V1v4gcwAroROBSbIpHiolk+cy0vKYiOR6+XD8rIqWqOj5bEQvI299BfNbSTFWvB64XkWps+6wx4J3kKe/54QOIyNOB5wOfBH7vyePzwP/l410ULh2PiMjHgY8Aj2PK/wrgu3l+z0wyU3luxurTmahH59wYqIi8BFgBlKrqZ2fgfe/EMlUVZm5Q4BpVjRT4vRcBS4GnAaPAF4DXeL8P58vMlW8C8qkDHsTMJjMmrxzidQqeXFX1k7MVLx9P3vWYwpr1NBOR+QR2/wCeSx7znoisAm4BfgHcC1yImXPHVfUrxxu+946C1BUi8nWsEj4CLMB6oTeo6v58vWOmmal6dabr00LXo3NOgTocDofDUQzMxTFQh8PhcDhmHadAHQ6Hw+GYBk6BOhwOh8MxDZwCdTgcDodjGjgFmiUi8lERWe39vkhE3jDbcXLkhojc5M9xE5GrROTi2Y6TIzeC5dAx90hRj7bPZXnOxXmgxYKIyA3YSiT/rqqPzXaEHMciIh/FJlKHsQnvydevBDZhLvyvVdXOGY2gY9o42T1l+C8RKQE+PdfqUadAc+MzIjKArXDxG+D7wIuBc4E5JfgTjK9jc/a+DdwoIgqsBj6KrVRyAHgdcBq2rJxjbuBkNzcJ1qMA1wJdwH8Bb5+1WE0Dp0Bz499VdY83Off3wL9gG43P9io7jvQItjhBDHi9qsZE5Crv2vuwhtBjODnONZzs5ibBevT7QAQrm3NhpbVJOAU6fa7FFthuxFa2cRQvH8RMuKMprh3FlpM7CWdFmCt8VkQGgX/E1lV1spvbvBNrAOVlBaqZxK1E5HhK442Bfl9V98x2XBwOx1MLp0AdDofD4ZgGbhqLw+FwOBzTwClQh8PhcDimgVOgDofD4XBMA6dAHQ6Hw+GYBk6BOhwOh8MxDZwCdTgcDodjGjgF6nA4HA7HNHAK1OFwOByOaeCW8kuDt0PADcAAEFbVtyZdXw38VFXPCpx7GvAtVd0oIkuA/8GWi9uuql+dscg7cpafiLwLWAwsBT4NPAvbKKAceKaqrpjB6Ds8RGQDthzjMPAbVf1F4NqVwIVAFfAxoBXYDDwEjKnqG0XkfdjC5QuAj7pVqWaeXGSoqo975z8JDKjqtSLyGmA90AL8QFVvm+lvSIVToMSXezsNuAT4mXf6CHA78ISqfkpEPiYiT1fVv3nPLATeAAwFwlkAvB5bnxPgzcCXVPVvIvI7EblBVcdm5KNOIPIlP+AlQAemQA/7DR4R+QxwxUx8y4nGVLJT1f8I3PZe4D2q2iEitwG/CFx7japeLCKrsAr6e1iDaRy4zyuTzwSexHb82F/AzzkhKYAM3yQir8C2IRzw7rkEW3e8HtuBpyhwJtwE38Z2Bijz/kqxVmubd70d650AoKqHVPUDwCCAiISATwD/AfjrIwaf78GE7ygMxyU/j08CrwA+jjV+EJG1QJmqPlzoDziBSSW7IC2q2uH9Tl571G+Q+vJ9Eni1qr4euBRYC6Cq78B2TnpVviPvAPIoQxE5FzgZ+Hngnu9imwe8HnhPHuN9XLgeaIJeVf234AkReSZmxgPrlWxP8/xzgXnAfwOneSaH/d5zbd613jzH2ZHguOQnIk3A1ap6q4gcBOq8S2/DzPCOwpFKdi8DXgbcBxwQkUWqepBjty2b8P4vxawHa7EhE7BGK0Cf978TM+M68k8+ZfgaIAScD8wXkZ8DH1HVP4rIIaCmgN+RE06BpuevwJUi8kUAzxT7emCbqj4QvFFVbwVuBRCRW1X1u56Z8HPe3pM/V9U5t9/dHCcX+XWLyH4RuQEbi/HNT6ep6pMzGWkHqOotwC0AInIa8D8iEgW+5J37hqq+GbhZRL6FNXjeh1XOnxWRduCgqt4lIv8gIl/17nlritc5CsB0Zaiqrd71i4BNqvq4iPxWRG7GrKafmvGPmQK3G4vD4XA4HNPAjYE6HA6HwzENitqEKyKbgHcDh4B7VfVHInIjFm8FrsemGcwD6lT1vd5UhO+paldSWG/AXKVjQAVmynkaZiK4NsW7b8LGLP8T+DrmWdunqh9Oum8j8N+q+hwRqfDi1A0sw8bUjopIPXAv8FxVPRR49n3ASsy56F2q2hm4Vo8NzP+3qt7njan+s5cWfwZ+TMBdH/gq8DXg3ap6X1YJXGDmoPzOBN7lXboQeJOq3i4ilwFvUNWXJT2bUn4i0gx80fvuZuCNwMuZPN1CgY9i43JlwLcoEvkVg9xU9Z2BcxcDr8bMs9f7ntTetUkyAP6JwNQj4FRSlMkU7005lcK7dh0Q9t7xZlUdFZFy4I/AB7zyOeke4PNAiaq+ZcqELiBzXIbVwH8B/cBRVb3Gu+8y4F9V9fIpvjmXdzQA12Ce2ZtV9SYR+TJWly4FPoB5DqeVYVErUExhfFJVt4rIj0Xkl8AG4EFs4Hk7luHPB7aLyHqgM0UGWA+cp6qv9o6fDpwSuL4BeHvgEd/F+lqsQP5OVX8oIt8RkSWqesB77gzgHzCXebDK8tuqeo+IvAc4V0T+iNns9ybFqQK4UFVfKCLPwSrZoG3/Q9icKZ8LMfftMmxQ/jwC7vqq+nfPPbyYmFPyU9WtwFWeF2CHpzyfg3kETnJcyCC/BcBnVPURr1Cu4lhX/e8CH1TV/V667AKKRX7FILcg7wZejHl2/gR4kff8MTJQ1U951/ypR8eUSeAPKb75mKkUXjgnAfWq+mYReS3wUuCHmKd2W5p7rsMq4dlizsoQWAQ8AawBfuXdtxZ4Oul1Vi7vuA2TczvwMxG5BfiDqv5GRF6KTZvJKMNiN+F+HniHiHwWq8AasUHmt2IOO29X1T97raDvAlcCMRG5TmwRA5/TgbjTiKr+LcmJREi4X5cxOV2CUyE6MOH64Tyqqp/EWmaoartXUM8FzgT+BHwE+AaJuaE+87C5ipA0xcIL6/1MVrrfBq7GWkXXkeSuLyLLKD7mlPwCvB9rneLFL9UCGFPKT1W3e8rz/wETqrqLJFd9Vf2rpzxfhzWARlK8Y7YoBrkFEVWNemkUDpxPKQMJTD2aokymInk6jM9C71z8mohcDdxJonwec88U75hJ5rIMVwO/wxTdh0WkEVOOH8/wzVm/Q1U3A1Hgt1j5G/SU52rMWvTDDO8Cil+BLgc+oarvxQQ1gE3YBVNIocC9bwRuwuZ+fRv4l8C1R7BpJgCIyCUiEr+uqltV9arA368Dz/pTUQCWYJXwlIjIm7GWz+uwTLsJM3lcgFXMPkeAJu+3776djmdgFX0/lhZrScwr7aE4rQlzUX7nYKtGZVJoaeUnIv8FrFGbfwhJrvoiUi4inwdGVPXTGd4108y63ETkaq/n9EogIiIhEakEIoHwp5LB24AvB8KKl0kNeMKLyIe9d1zKsVMpfNqwfBO89lKsd3s5VqZT3TPbzGUZHgL61RadGcB6lTXAV7Apgpcf7zvEVoyLqOqlwDki0igiLwbeAVylqgNkQTFWukHaMZf0XuCXqtovImvFpiU04CkkEVkKzFPVx0SkDfhXbFIvAN75e8XmE/Vjmce342fiZ8ANIvIMYI/aShofwsYKJq1qIiLPBj6MjVHeBHxNVf/Bu3YTcJ0n3E+r6jtF5M8i8jVM0b7Fq7zPUdUbUsSjE7gRa/R8GjjIZHf9fSLJ06tmnTklP48LsbHllGQjP6zwXgk8ICLfx1rOydMtPghcBLSIyAuAfzv2bbPGrMtNVa/Hxunw8vi3sHHNa0SkFPiyqr41WQbe4/GpR8ll0rv3TGxcMN6j8SrQuHy8XtjrVfXjInLU+/Y6bFz8h94zHwVuVdW25HtIKNTZYi7LcDHwaRHpB36iqj8AvuOFc6vXU7wCa3xO9x2nAt8QkQOYubgJ+CZm3r9BRH4KbM30jW4ayxRIioHwPIVbgo3VfCPP4T6NInFCKQac/OYmhZJb0jtegM0FLtiyfl5lPWtORLPJDMnwbKBcVe8v4DsyytApUIfD4XA4pkFaE67Y1IlN2IA5qvqTGYiTw+FwOBxFTyYnovOAHk9xXjwD8XE4HA6HY06QjRfufBH5B2zg2eFwOBwOBxnGQEVkHrb9zwTwI1VNnsvocDgcDscJSaYe6LWYW+8WbNmxrBCRy0XkHSLiu0q/VkSuEZE3Znr2sssuU2ypKfeXn7+ccfIrqr9p4WRYVH/TwsmwaP6mJJMCHVbVXar61wz3JXORqn4RaBSRMmwJqW4Sq31MSVdXV6ZbHIXHyW/u42Q493EyLHIyKdAdYuuH3oyt1Zkt/mof/sz+L6jqF4AzvMmtkxCRN4nIZhHZ3NnZmXw5wVBvDlE4AelszVcaFUZ+M0kwHfzfs5l/Zv7d+ZNhZ2sh4zk3mJ00yI8MnfxyJ8s0y7QS0Y+BxzBFm4sp4gGxlf1HsOWhThERwTx6x5Nv9lbeuQFg48aNU7+nuiGHKCQx1Ht8z88FRgagZUU+QiqM/ApFKtkGj6eSez7yRLZhzHzey58MR7Ja1Sx35lKZzE+5ypX8yLBQ8psNZirPZCnvTAr0a8AdWEtIgbuzCVRVf5506ndZxSYTuSReZ+vxZfrjeT5XIQfvz/XZYDwjg9k/l4aCyS8Tx5MOmcIc6oXu9szKNN17Mynqqe71e58zqCzyKsMdd8HyM44vQsdDMSjamax7PPImw5mS3/5HZzef5JMs5Z3JhLtTVW9U1e+q6s35iFfO7H808Xu4b/K1bVNtrAD0HJx8vPOe3N6brtWWyRzX3Z7+ejJPPJT6dyqC6QGwI9Cm2fyLp465xs+8mczSQfPs/kft/s7WxG8/jOoGa2Dsf9T+hnotPw31JsLobLVz/vVk02+wQPnxSpYHTD7nF8Sd96Q2K88F9uXgAvHQrzPf45Ncno/3vlwpRFyLkVzkdzzsnoEVKGdKDvfdktVtmRToGSJyi4jc7I2Dzi47kjrA0eHU9wG0JVVs+zIopmPeddfU1zIpyKal6a8n07Ez8fvIvvT3potX9bxjGw5ziaDSBFMyIwOJQuMrrKFeePy+hHIKFqqqevurrLXjJx6yMIZ6YXQI+g5bK7m6wc77vdLqhsSzPt3tCaUaVMadrYl4NS1NxKmz1eLVd9jC62yFAzvt2vINiW8Ifmsyc0mxpqI14/rbCYJpnY7kcp+OXBqQtS3Z35ttXAEO7cn+3qcSTz6Q+Z7jZabM0Q0LsrotkwJ9P3ALtrfc+44zStOjM6BQ2pOU4u57p35uMGnKau+B3N7bk+b+J7ekf/b3X8jtXXXzE7+T453uXoAnAq2+w4/n9t7ZwFc0yQR7bX5l5SuoqvpEj7Gy1hTbKZsSvXW/0dC0NGFp2HG3FbaFq+38gZ3W4DrpHOt5+NYLP391tlq43e0m3ycesh5rz0F7/54H7J5DeyzcpqV27S8/sOf9RlXbozB41O7tOQhL1tr5R/5ocTgQaCz56RH8P9umyuNl4HD292ZrFerYkX2Y+x/J/t50jdFkcrFg9RTDbmazwFh+hpDSkovMjodHsrOWZ1KgH8P2oRwGvnicUZoewQSrnjf52kjP1M8dTFK2ExOp75uKWHTqa3v/lltYmdh1Z+J3X4bCt/UXk48jvYnfEyPw6O35ilVhOLAzMT4U7Gk2LU0cd7dP7n0e2GnnfMVaWWvXF642RVhRY/c88ZD1Kg7sNEXUdzgRxkAndO035Rmqsp7+jrug/TELa8fdFu6TW2BsFMLV1mP147z3flOC0WFTuk88ZGEefMzCObDDlGzDAug/YspzoNMq3gM7ofMJi+cpm441ET+VGMmhEs22p9bblvken2gk8z3x9+cwsaBlVfb3tj6c/b2O3BiYIS//0TTWzQCZFGg/MKCqu8hi7lFBGDyU+H0wqSU6mq47n+SkNpFpf+QkRnqnvpb2vWRWgslEAg2B4VwXe0pyeg1X5/h8gUke9xsdmnwuuTcavNZ3eLLSPLDTehg9B01B+j3PLb+F7jZTbo2L7HfvYTON/+V7ptj2PpCwKuy6ByID1kjqP2RKdaAL7vqO995D8Mit9nx3m/UqK2rs/FCvKenBo6Z8S8qgLAwHdyXGVDv3efGJmOl2oBMq661H61+HyU5Nc73nGWc0+1vTNVIncYzD6dT0H8n+Xs1B2R7IoRcceQp5vRYbeXKUzEx26i6TAv0DsF5EfgUke4TNEMGeY3KBy7FXmQvj6VogGd57XKaM4/ymI0Vsxq1ugPXPSxz7Y45+L9PvkfiFpH6B9fR8M+gpm0wBDXTaWOPokN3TuNgqzqFeC6N1i/X4KuvManHkCQjXQKQPRvph/skw0ge1zRCLmPIEMz92tULPflOShx+Htkfg8G7oehyqG2H/VlOobY/A0FFT2rFRKC0383tXq/1v3WJxevg3pmj7Oiy+QRNu576EM1IxzFWdabr25j/MQzsz3zMdauZlvscnbd3hOC4Gi8s8nmkay4Wq+sIZiYkjP4zm2NOeCYK9zEN7TOkN99nvhasTjgHham8css2UzeBRCFWY6XTJOrj3p3DocVh3kV3v6TBTbGzUeoeVdfDEZlhxFmz9dcJJpKbJFGqkBw48Yub82CgMdcNonzU6wnVQXm29h7FBM81GemC4k3g7c/8We3b3XUzqFe37KxCCsnIQAUZhqAv6D0NpqT0zHoEH/xdCtdabHeq1Mf3alsT3D/dZr/qUTYWURvFQiDGzkQIt1/23H0xu/DkcZFagl4vIGmAQQFVfXfgoOXJDkn5naxabIYb7rJe5856EJ6rfwwxXm8KoqLFe3bIzEtcWrjbTq+9p++QWz1t2XsL7eqDLzIBHn4Tl59i5sREYi0Co0nqIJaVwcKf9BygNQcx73h/nGO2zvyCRYSiphPKQKdbBDqhssHCjI4nwhrqhohbmLbf/Pe3QtQ9Ou8SU/rY/wnkvgb/9GM56gZmifbP0ugsne3f6nsAnDOUFCDNcgDCBskxVpeNEJFOuOBM4GTiiqmk8diYjIpd7z4VV9brk49xiWGRjesVGeTB9QuQ0BjUFeZVfz0Hrabasst+774XmFWZ2rV9gc8ciA9aDrKq3scRwNdyzC4Z7YdHaxNSI6ga7ryxkx7GomXMnxs1sWtNkptLKehgfh+GjEKqBsSGoXQCUWM8zXGVjl7GI9dgbVkJ0CMajMP8UaNsCVXVQ02Jx6XoCCJvybFphJt3qefa+J7rtfbXNUF5h8WhYYvHzHeAO7YHxscQkc79RkGrcM09joXmV4ZyiQK4a4brChDsFJ6785haZxkC/CHwIOE9Ebsgh3ORFkJOPsyd2/ArhqUVSq93vCYFnPswL+ZPfod0Jt/59D9lYIZh5dvd9pjTPe4n13o62m8IqC8GKM737PJNcuNrGEkd6THEO9VjPNVRppsDRQTiwDSobbXwToKzSlGRpCIZ7gAnzsB2PwkQM1BtvjkWhpNye7dhOfAnSgcNweCc0n2TPRvqhu9Xe2bXXFL+IKdDqButxVtRY/I88YVOOlm+w3nR1o3kMB1c8KuzCCvmTYcEohLIrkF/EaH9hwp2aOSA/RyYFGgPaVfUP5GYbTF4EOfl4EukXI8+bUnhqUJnUEh6PJX6n2ds1R/Inv8bFprT6DsPitYne49F2KA8npnwM98K8pXa9br4py7KQ9fIWnWo9z7ER83gd6TOF1HfI8+QstTHHULUpx6691uMbGzJFGYsklCVjlk5BL+vBIzB42KZL+I2QiZiFVRpKPFfjjanGotC43P7HhsxU3LrVzLVDPeZINP8ku9c3U/u/p/K6zb8Xbh7LoGNG5jhOJif5gZPhbJBJgT4JPFdEfgj05hBu8iLI/nGXqsaSb1bVG1R1o6pubGlJXh1kdmbPFC0jSS1hXyEBVNbk6y35k1+4GuavsgUMwtXW0wRzAhroMoXY3Wa9OjAle7TdFG90yJTsvs1Qv9CuSwmUV5qiis8LFjO9DnWZspy3ElOUE2aiLQ3ZuCXYkEBpud3jNzhKQ1DdbOGOe85BY6MwNmbjnn3eVKqBw6ZsR3pM4Q8dtfDCNTYuu3C1hV1ebqZosGk1bY/ad1XUTF6asLBTV/JYBh02PDKj5CQ/cDKcDaY0BYjIB4FtwPOAUlXN2oaRYhFkR95IalAE55DmyQMxr/KrqDFl+cRDpmT6DpkyXHOBmXYbF9t9E57i6thpSrar1XqUY6PWSKiotXBGh2ycc2zEFN5EDIjZWOhY1Dxh/d7l2Jh5wepEYmpBLAaxEVOs/jzA8WEYUW+ucMhPBPs72kq80R8dsXMVXkNl+Kh52PYfMiei3sPWYx7ohDMuNvP1yACsCXjVBnfMKeAi6a4M5pmyQjg8TY2T39wgXQ90KfBJ4Hrgq0WxFq4jC47ZJnB2WX6GKc76BTYeWFoOGy5JmDN9j9pQlXnsrjrHxj3D1bZgRWzUeqnghbMI6hebcgUb56TczKnLzoS6hYnVcCprTflGI1BaFYhUqSnWeK9CYGIs4XUL5mgENr45f439bloJNc1m2gXreapar9fn4E4zHUNCOTYttb/K2snrJD9lFk+YLnNoeKbUDTs6jiVdrogBXwFuZE7l9Kc66dz0Q7Bo3YzFJCv2e3MdK2vNG3XpaTY9ZfV5Zt7ccbcp1ic2m+KsqLFeaU8HNCw10yfY8ZoLrJc3f5WtSDQ6ZIo20meKcqDT3jVw2HqfJeX2JyVeL3TEpiOUV3jeuJUQLTFTcKTPxjMrF1ivtzQM8xqsZxwZAEKm/MeGzdnIn2OqT5pirW2248Yl1svubrOGgr9eb9PS2dpTsogpxNaxBZrGUt1cmHAdc5p0CrQLeCtwQeDc6wobnROUYO+obln6e2uaJh+HahO/K6oT5sViYfkZtmpQy4rEggH+XM+RAZsLOTJgJtkNlyV6amBKMjoMa58FB6ptWsjQUS/cDXYtGrFzC0+xHt2+h0zBhaptXHV00HqMNfPt3nANVDclnJBGW82Tuc4bYy0LJxyOqueZ6Tg2mjAx1y4wpb1wtU3Jqaiz39GIOUQtXA1H90PTMlOe9Qvsm0743mYKpCL/YebPD2AyZQVSzI45TToF+jtgJ3B0huJSZKTpdFc05vdV1QGluDTDhrTJi1o3nZT4fdIm6z0VE52ttrJOZ6spku52W5qvu92O/R1XTn2W9UgP7LTrw33W21yzyRZhqG2Bdc9OLLjgr6nrL66w7kLzdt1wmY097vlLYoy0rMIUbFnYpsfUtpgyrl9oirG2xRRyuNrCjwzAxisSqyE1LYPu/XDSRm+1JG+t3RVnwYHtZn6ubbHl3hautu9esjaxpVmmjbpPVHzHsHziO4vlm+YcrAdu7voJQ7ox0GagElgS+Js7TBrzgtxNO2mSpjSDR16uCrYi0Issz9AqX3XO5ON1z078Xrim+Fay8ePj//d7Y/6enGDKsn6B9VIbFyXOb7gk0Vs9ZZNdK/e8dsFMvb4pdcfdpjj9fWClxBTcKRfa9JOBLutJ1rZYL/2sF1jatZxkytPfk7Wq3ip2f51dn6bl9r+7zVY62nCJHa86x8zL/v1V9YlGzlBv4rtPGOU5496qk6mdn/me6bBwTfb3znOm+rlPdvoiXQ/0VdgghWKzk2PALDgSBZ1ikqJbnWbT0/lJGX5ejptc1y2e+lo4g5nonJfk9q5gS3zfZrjg/8v+2aDJtqLGJvMXE0HF4f8O9saCCnb/owknm5YVdty4KNGD9U2+PQftvL8Q/cLVCUXa9qgp1sVn2Dq6Q73mEdvdZnmgu816ij0dcM4L4cmwTbHxTa0VNYnrC1db79Nfm3bJWush+9ucrT7P4hKqsnVS/d5mcJeV5O99qlOTw1jh4izzai6m3hVnZX9veQ7m3sZF2d87VKD1eB0QnqEOQlV2K09N2c1S1SuxcdC3AFcDs7NHT2mgJVCT1LpcfPrUz40nTffIdQwjnSn1aS9I/+xgjlbvZYF3bbwi/b3JBTno1RkZnHxcTKRSIMnzIZPjHhk0pRnsyfnK08fv8S1Za39V9aYQ/Y3Hx0ZNKa4+z46XrLPr6y405ev/r6yd9GpWnmXv9t/l94xP2WTPt6ywv9GhxCLjfhyXJ+WdE0V55so5We5TsfKczPf4hHJQtpV5Horxmbe8MOE6oH6GDKFNK7O6LZNv9mLgDGxAsEC2kQwsD7QoTz5/8rVlaZTcmgsmHz/rytzeu+7Cqa9l2tTVr6yzJdiLzLQTR7KJNlg559JKnk2yXY3H73kGTb2RwUQa+AvVV9Ymxhn9tK+ZZ4quu92u+05MvnLzn03uKfpOTMmm16AHbfCZXHbomKs90XknZ3/vP/xb4eKRDb4lIhtWbcz+3lw8qP1x8GIhF/kdD1UzsHhDcr1eKPyNLzKQSYG+DXg5tnfT27MJ0Fun8b+8sG/2NuNGRH4M/B34papmvzttc6A15487+aRTGMmZeCTHDnTPwakLzdpn5RZWJnLpNSZXwMFKuWXFZIUzDfIuv2yZKs5BGbSsSCi9ztbEtQM7EwrPP1e/YPKC7b5y9EmlPP3j7vaECdmP21TKL3g+U7rPkPLMuwzjKz7NEsFx/kz4e8dmQy57fOZClpXvVMxZ+S04pfDvCM+Qg1aWDeO0S/mpareqfk1Vv6Gqae2SInK1J+BbseVyPgX8s3fNd0gKkcIUnHYNx2BmTK6A0jnMJF9LNqtlIl1PMFNFmKsjT3JFPt1nYdpzDQsmv3ww1JvYUzRV2p+y6djdTYI7n/jPpRqPTXXsPxt0dJpK5kXUoyyYDC96bfaRyCXvZ5t2uZTdXORxUg6m4VzItbHucTzy8+5JLcNc5Hc85NLQmS65NJCOh2zrYVXN6x9wFvBPQDXwUe9cNebVWw98JN3z55xzjk5isCf171w58uT0n03meOJRaI6N2+zKL5/fMlW6D/Ycn0xSPVs8Mp79MpjPsjMdCiWL1m2FCfdYZlR+mizDmZLfrntn5j0zz5TpnG4t3O+QtFSIqmazkMI24F+AdcCPReSlwD3Ax4AO4NdZhJEgXa8hF/K5CkwR9TqO4fjjll/5HQ/Z7lhyvN9cwH05Z4n8ynC2V1AqlCxytUrNHHNTfpn8N56CTKlAVfW1ACKyAPg88KdsAlTbKeB9gVPeBDuunlYM56rjxRwl7/KbaVx+mfsynCmKNK/MWfkVaXoWkrRORCJyBdYSeo+q7p+ZKCVxggnEcZy4/OLIFpdX8ssJmJ6iU2zCLCLfAxqAL2FeuKjqHQWPkEgn4HmM0IzNRS02ijVecGzculT1spl6eZL8UsWnWCnWeM6o/CClDHOhEOlYKNnMVLizLcOZytsz8Z7Z+JYp5ZeuB3q7939GJxeqanwykYhsVtUcJmvNDMUaL5j9uAXlVwzxyZa5Es+ZIFmGuVCIdCyUbOZauLkwG/XoTLyn2L4lnQJdGfhdiH2HHA6Hw+GYs6RToDd5/6uATwOPFDw2DofD4XDMEdJ54baKyHnAh4BPqOqDMxetODfMwjuzoVjjBcUXt2KLz1TMlXgWO4VIx0LJZq6FO11mKj4z8Z6i+pZ0TkTXAOsxBToCoKpP5Ct2DofD4XDMZdKZcGPAFuCl2GLyCnx8JiLlcDgcDkexM2UPdDYQkcuBk4Gwql6XfFxkcXstcBKwX1W/OYvxCgGfAO5W1d8UWZrFF78GngeUA+2q+tPZjFcyxZRmcxUReQ2wDFioqv+a57AvBy5U1ffnMcwXAKcDdar6n3kM93VAE1Clqh/LV7jHEZ8ZydvJ9VCB3lGwPBZ4xz8DjcA8Vf1EpvvTLiY/C1ykql8EGr0dCZKPiyluG4BubNHn2WQhsDVwPKtp5i+ILSK3A7UkFr9eqaqfB85PG8DsUEz5bK5yu1/hiEje6hUR2YRZw/JdVz0fiAC78xyuAPOwxmIxMFN5O7keKgQFyWNBVPVHQDu29nBGik2Bxrz/MsXxbJIcly+o6heAM0SkdHaiBN4KUQcCp2Y1zVT1elV9BfCPwGuALwKvD8SrGCmmfDZXOSIiHwduVNWJPIb7ImAtcLaI1OUx3HpV/RJwVp4r45NU9YNASaEq+RyZkbydoh4qBIXKY3FE5DRV/RVQno38iq21/YCIvAtzWro0cNzlrQ85myTH7RQREaBHVcdnN2oAlIrI/6N40qyayYtfP1dE/g14YBbjNBXFkmZzmS9jlfULRORRVc2LZUZV/wNARJaqan8+wvT4rSfzI3mujDtF5N3AaKEq+Rx5KuXtguSxJM4VkRcB/dnIr6jGQB0Oh8PhmCsUg4nB4XA4HI45h1OgDofD4XBMA6dAHQ6Hw+GYBk6BOhyOokVEFnnOeo45xIkiN6dAc0BEbvLnUonIVSJycfCco7gRkY+KyGrvt5NbkRCUSwo+hXmY3yEiF3v3XyUiF+UQ/m9F5PsicouIvPH4Y+yArOV2hZf2N3lyWykiGRcoyPDO//PC/Np0w8kXrgLJgIh8FFsQIIwtCpCKz4nIPOA9qnp4puLmOG6c3IoMEbkCuBwrbx8CzgZeDBwB/k1ENgfuvQl4A/BMbPvF87FNkE8HHvKevRqbavYqb772LcCsrRz2VCWN3F6EV75E5BXe7ZeKyELgMKZovwxMYIta3A+8C3gY2InJ8T1AKfB/3vPvVdU9niItnc1phE6BZsfXsQL8beBGEVFgNfBRYBz4D2Ad8Ergc7MUR0duOLkVJy9T1Vd6O0G9BFuP+/+wyvg/gM8Cf5ni2UrgOuB93jMdwBnYKjw3YUva/aJwUT+hmUpud2ENnxbgHu/e+1T17SJyM7bAw03AYuAVmAL9jap+U0S+BWzEVowaBS70fn/GMw/HmOW9qp0JNzsEqMAE9npVvQr4lndtAhNujOJebccxGSe34iQ4blZCoIJU1e3ADuBl3qkY1gloCDwzQkK26oXRo6pXqeqzgCtEpFiW2XsqMZXcXq+qH1bVq4ErsJ6kvyDGBPA0bMOS7UA0Kaxy7/4bsM7K/d75f1fVl2A91gvz/SG54Hqg2fFBzDQxmuKaAB/G1r/86AzGyTE9Pisig1iv8xBObsWCL5eHROQbWMX5AeDNmBnW5/OYWRDgd8B3gSHg7jRhN4rI973fhVrB5kQlk9z2icgvMBk9hll+gvQCy4G3AFXeuZeLyEbg51iD6VNYz/PGwDv7sUXfry3Qd2WFW4koA94Y6PdVdc9sx8XhcDieynjOYatV9VsZbi0KnAJ1OBwOh2MauDFQh8PhcDimgVOgDofD4XBMA6dAHQ6Hw+GYBk6BOhwOh8MxDZwCdTgcDodjGjgF6nA4HA7HNHAK1OFwOByOaeAUqMPhcDgc08ApUIfD4XA4poFbCzcNIlKCLWQ8AIRV9a2Ba0uA/wGOAttV9asicg229Vk9tiVPC3ANtsXSZlW9aWa/4MTGye+pgYhswNajHsZ26vhF4NqV2ILiVcDHVPVx7/wngQFVvdY7Xgbco6orZzj6DnKTIbbz1WeBPqBMVd8hIu/DtqyrB96lqp0z+wWpcQqU+Hq3pwGXAD/zTh8BbgeeUNVPicjHROTpqvo37/qbgS+p6t9E5HcicgOwVVVv8YR9NrbrwAeBdi/cm2bso04gnPzmLlPJTlX/I3Dbe7E9JTtE5DYmb0n2GlW9WERWYbJ6k7fvZC3WcEJEqrA9KvcV9GNOUAogw8eBbqAJ+KOIVAAXquoLReQ5wBuxBeZnHadAE3wb2+C11jsuBRYCbd5xO7ZnnU/wWg9Q71W+bwH+GVuA/qDX0/ktcGdho3/C4+Q3d0kluyAtqtrh/U5evNvfWaUdWCwi52L7fv4c2OTtG/kZzJJwI45CkTcZYju23IbtJ3orto/okaR7igKnQBP0quq/BU+IyDOBZ3mHS7E963z2e+fasC2x+kTkQlX9uoj8Dfh3bxPfNlW9VER+JiKNqtpT8C85MXHym7ukkt3LsH0/7wMOiMgiVT3I5H0nwfaUBJNlB/AaIAScD8zHtjxbCfwXcJqIvFtV3ebp+SefMjwE9KuqikgPZkloSrqnKHAKND1/Ba4UkS8CeOa+1wPbsA21PyciVwE/V9UxEfknEfknoA74AlaQvyEiBzBToqt8ZxYnvzmKqt4C3AIgIqcB/yMiUeBL3rlvqOqbgZtF5FuYzN6nqq3e9YuATar6CPBC79ytTnnOHNOVIbbv8hc9Bfygqg6IyJ9F5GvYHqBvmYXPSYnbzszhcDgcjmngprE4HA6HwzENitqEKyKbgHdjNvF7VfVHInIjFm8FrgfOxcaw6lT1vSLyLuB7qtqVFNYbMFfpGFABvBV4GmbmuTbFu28CeoH/BL6OeYX1qeqHA/cc45rteYx9FviLqv5YRD4CrMLcr5tV9VmB51O6Zk81/UJE6oF7gediA+9fx8YDOoEve89sSfU9s4GT39yUXzHITVXfGTh3MfBqbOzs+oAn9TEyAKqx8c5+4KiqXiMi1wFh7543q+poivfm8o41mBlxAHOc+aV3Hu9b3wG8ilmU5RyX4T95cSsHnqmqK0TkM1iHbyHwTlXtTvHelFOavGvH5AERKQf+CHxAVe/z7rsM+FdVvdwzGZeo6pQm46JWoJg35CdVdauI/FhEfglsAB7EBp63Y4l1PrBdRNYDnSkywHrgPFV9tXf8dOCUwPUNwNsDj/gu1tdiwvydqv5QRL4jIktU9YB3PZVr9rtJDIqjqh/z3nFj8B0ZXLMvImn6BTYQ/ylgr3fPhVgl/0UReTuwESsUm7JL2hnByW9uyq8Y5Bbk3cCLMc/OnwAv8p5PJYNFwBOYkvuViJyEeVi/WUReC7wU+GGKb87lHVuBt3ljc7ep6seBq8Q8gDtU9dciMsDsynLOylBVP+Vd+wxwhYhsBJZh87H3pVKeHsnTYd7khTNVHvg4CU98RGQt8HQSevE64ANTvAsofhPu54F3iMhngRpsAPl9Xov+VuDtqvpnrxX0XeBKICYi14lNP/A5HXjAP1DVv6nqA4HrgiWa/xdMl+B0hw6sgPoc45rtCf/h4EeIyD9gcwzbAqfnMbVrdqrpFx8BvoH1pMDzLhSRLwHrgAUUH05+c1N+xSC3IKKqUVUdwXoRPqlksBpL2zcCH8Zk0Z50z3G9Q1V/CwyKyIeAHwTufT82XaYYmMsy9JVZmao+jE1L6lTVt3vXnjvFO5Knw/gckwdE5GpsatpeL8xGTMl/fIqwU1LsCnQ58AlVfS8mqAFswi5YRRQK3PtGbKL7pdicpH8JXHsEM5sBICKXiEj8uqpuVdWrAn+/DjzrT3cAWMJkF+oDIuJXyMmu2UFeh3l9BjnC1K7ZwXcuxUx8mzDTyQVYQW0Gfu9lqsNAa5r3zxZOfnNTfrMuNxG52us5vRKIiEhIRCqBSCD8VDLwp0CMefFuw+QevOe43iEitVh+uE9Vv+uFdQ62otVIqgSdBeayDAHehg1rgCdT73cnAb0lIh/23nEpx06H8UmVB14KXAFcjpXHF2MNja9g050uJwuK3YTbDnxWRHqBX6pqv4isFZuW0IB9OCKyFJinqo+JSBvwr8D3/UC88/eKyM8xQYRI2PEz8TPgBhF5BrDHM/d9CPge8DmSXLOnoFlVh724VgKfVtV3SpJrtlcIzwG+yeTpF3cBd3nP34SZFrqBz4jIFcC4qv5VzHW/mHDyY07Kb9blpqrXYyZtRKQdU1jlwDUiUgp8WVXfmiwDrOfxaRHpB36iqm0ictSLex22UtEVwMhxvOOLmIn4tSLyalV9DWaS35xzSheOuSxDgNNU9Unv993AKz1rTRi43utB3uuZz/He0SiB6TBeT/r1qvrx5Dygqj/0nvkocKvaGOh3vHO3qupvRGRlpm9001imQFIMhOcp3BLMzv+NPIfrt4q3aJE4Ec0mTn5zk0LJLekdZwPlqnp/gcI/oWU5QzJ8AbBNVfcX8B0ZnYjSKlAReQ1meroTQFV/kuc4OhwOh8MxJ8k0Bnoe0OMpzotnID4Oh8PhcMwJsnEimi/mhdhQ4Lg4HA6HwzFnyGTCnYdNCJ4AfqRTz79xOBwOh+OEIlMP9FrgD8AW4KPZBioil4vIO0TE9/R6rYhcIyJvzPTsZZddpticPPeXn7+ccfIrqr9p4WRYVH/TwsmwaP6mJJMCHVbVXar61wz3JXORqn4RaBSRMmwFjG4SE12npKurK9MtjsLj5Df3cTKc+zgZFjmZFOgOseXPbgZ25RBuzPvvT07/gqp+ATjDm/8zCRF5k4hsFpHNnZ2dky92FtP88jlAftLLyW+2yF965U+G+SSf+WGoN39h5ZP8xas4ZXgi8Ph9Wd2WaSGFHwOPYYo2F1PEA2ILE49gq1ucIiKCefSOJ9+sqjdgC2mzcePGye+pqs/htY484eQ398mfDPNJy4qCBX1cDPVCdcNsxyKZ4pThiUBFTVa3ZVKgXwPuwFpCiq0IkRFV/XnSqd9lFZtU3HcLPO8N0378hCMPCsvJbxbJU4MjrzLsbM2f4sunoupuL0all7d45U2G+ZTficKTW2D5GRlvy2TC3amqN6rqd1X15vzELEd23zErr52zPPTrzPfMJE5+uVFs8gP4c/IywMdBPr/vwI78hXXfLfkLa/P/5S+sfJBP+Z0oPPb7rG7LpEDPEJFbRORmbxzUUez0dGS+x1G8FKP8Jo6xFk6frjyOge7+S/7C6tiev7COPJa/sPJBPuXnmEQmE+77sd0jdjF5dXtHsXJw62zHwHE8FKP8eg/mL6wju/MXVmQwf2ENHcl8z1wln/JzTCJTD/RjwDOAYWwHAofDccIxmsewMs7AyJ6JfO4c9lT2ucmn/BxBMinQfmBAVXeR15zvcDgcDsfcJpMC/QOwXkR+BSR7hDkcDofDccKSaQz0QlV94YzExOFwOByOOUQmBXq5iKwBBgFU9dWFj5LD4XA4HMVPJgV6JnAycERVe7INVEQu954Lq+p1ycfTjq1jRnDym/s4Gc5tnPzmBpnGQL8IfAg4T0RuyCHc5EWQk48dxY2T39zHyXBu4+Q3B8ikQGNAu6r+AYjmEG7yIsjJx5NwiyAXHU5+cx8nw7lNTvIDJ8PZIJMCfRJ4roj8EOjNIdzkRZD94y5VjSXfrKo3qOpGVd3Y0tKSw2scBcLJb+7jZDi3yUl+4GQ4G0xpChCRDwLbgOcBparan22gKRZBdswhnPzmPk6Gcxsnv7lBOlv6UuAVwFZARESdF67D4XA4HEY6BRoDvgLcSBq7u8PhcDgcJyLpFGgX8FZsMXmf1xU2Og6Hw+FwzA3SKdDfATuBozMUF4fD4XA45gzpFGgzUAksmaG4OBwOh8MxZ0inQF+F7fGjwAQ2Juo21XY4TjRqFs92DBzHg5NfwZhyHqiqXomNg74FuBoYmKlIOY6DisbZjoHjeChG+bWsyl9YzafkL6wqN9cxK/IpP8ckMi0JtRg4A/PCnV/46DiOm8blsx0Dx/FQjPJbdU7+wqrNo9JbkEdlXLcsf2EVWyMon/JzTCKTAn0b8HJgHHh7NgF66zT+lxf2zd5m3IjIj4G/A79U1R1Zx7BhZda3OoCy0HE97uQ3yxyn/KAAMlyy9rjjFCeflfnZl+cvrI1X5C+sivrjeryo5XeiUFad1W1pl/JT1W5V/ZqqfkNV03rjisjVnoBvBcaATwH/7F3zHZJC5GoKPvtFOd1+wnPeS6b1mJNfkTBN+UEBZVjdMO04HUPjovyFVXV8imoS+YzXC98/rcfmhPxOFM7Krt7KtBZu1qjq9ar6CuB9wONJl0eA12O7u7w++dm0iyCPDuUriicGI9MbqnbyKxKmKT8ooAxPBPKpjA/snNZjxyM/cDLMK0O9Wd0mqpr6gsh3MA/cOKqacSEFz/zwaWwT7p8ApwP3AB8DOoDfqurDUz2/ceNG3bx5c1aRd2RFTqtIOfkVHTmvAuZkWHTMaBkEJ8M8M6X8phwDVdXXAojIAuDzwJ+yeZO3U8D7Aqf85tjV2TzvmF2c/OY+ToZzGye/uUNaE66IXIGth/sBVb1xZqLkOC6yND04ihQnv9nBpbsjSB5MuN8DGoAvYV64qOodeYlcugiJdAKtgVPN2HzUYmOuxKtLVS+bqZc7+R03syo/SCnDfDJX0j2fzLYMT8Q0P16CcZtSfummsdzu/c+je1pmVHXSRDER2ayqG2cyDtng4pUaJ7/joxjilSzDfFIM35eKYo3XdAnKsFi/rVjjBdnHLZ0CXRn4nbqb6nA4HA7HCUo6BXqT978K8wh7pOCxcTgcDodjjpDOC7dVRM4DPgR8QlUfnLloTeKGWXpvJly8sqPY4uPj4jU7FOv3FWu88kGxfluxxguyjFs6J6JrgPWYAh0BUNUn8hU7h8PhcDjmMulMuDFgC/BSbCKpAh+fiUg5HA6Hw1HsTNkDnS1E5HLgZCCsqtclHxdRvF4LnATsV9VvzmK8QsAngLtV9TeznV5OftOKW1HJsBCIyGuAZcBCVf3X2Y5PEC+9L1TV6S1iW2QUaxmcIm5FUQ6nWwbzthZuHrlIVb8INHpLWiUfF0u8NgDd2KLPs8lCYGvgeLbTy8kvd4pNhoXgdlX9BICIFE29IyKbMGtb0cQpDxRrGUwVt2Iph9Mqg8WYaWLef5nieLZIjscXVPULwBkiUjo7UQJV3Q8cCJya7fRy8suRIpRhITgiIh8HblTVidmOTIAXAWuBs0WkbrYjkyeKtQxCkZbD6ZbBYjThvgRYAdQBDwIV3nGpqn62iOJ1Cpa4Var6ydmKlxe3i4B6rBU3q+nl5Dc9ikmGhUBEvo5VSoeAz6jqbPc4JiEin1XV9852PPJBsZbBKeJWNOVwOmWw6BSow+FwOBxzgWI04TocDofDUfQ4BepwOBwOxzRwCtThcDgcjmngFKjD4XA4HNPAKdA0iEiFiHxVRL4lIr8QkVNnO06O3BGRS0Xk3gz3fH+m4uPIDhH5qIj8n4h8X0S+lo2MnBxnHhG5SkRu9+T07SyfuUhE3iAiN2U7N9V7z8XHF9v8MtuTaoudq4FfquptItICvEVETsEaHh8H3o2l4UPAS4CfzPaqNo6U/Atwq4hcCHwE+CvmPv8ocKqqXgmcKyKfB4ZV9UOzF1VHEu9V1T0i8n/AiIjMA74MRIDfYpPfPwTUYLJFRJ4DXOzkOKNcq6q3i0iTiHzNO/cA8BfgPUAp8H9AP/AWbJrIrd59n/Pk+h7gldjKREuB/w/4d6AFW499J1AmIjcCn1bVPTPxYelwCjQ9a4EbAVS1U0ROBl4HNGKFNgy8E3gaEHLKs/gQkSYgBHwH25avV1U/LCI/U9VPeC3gEuDvqvouEfmKiDSpavesRtzh8xkREWwOqQL/DHxFVe8VkR8D5wMfBEaBWmA58BFVvWiW4nui8j4ReRWJeadHgAuA07HGzihwITAfuAq4BFgCjAP/AazDlOfdwHbgXcBiYJGqvk1E1gPnANcBHy4G5QnOhJuJx4BNAF4P9OWBa37aDSb9dxQXrwKasUL6DGx/W/B2GPIowQo5WEU9PmOxc2Ti31X1JcBurAIO1lklQDmmWAEWAQPAnZ61wTFz/LeqXoX1NH+KNWru9I5vAD4K3A/4q1D5ZWwCU64x7+9D3vFeoCEQ/iLv/9exRlRR4Hqg6bkBuN5rWdUAl3nnJrDezH/OYtwc2XEZcLmqRr1VUH42xX3niMgHgS5V7Z2x2Dky8VkR6cesPg8CP8JMfq/0fu/CeiUhbFilB7gW+KmI3FtsKx6dAPwIuB54GXA7pvA+hTVQb/T+vo3pnjuwVYg+DMzDlOz5wD9iPVcBjorIlzG5PgE8DoyLyL+o6g9n7KumwK1E5HA4HA7HNHAmXIfD4XA4poFToA6Hw+FwTAOnQB0Oh8PhmAZOgTocDofDMQ2cAnU4HA6HYxo4BepwOBwOxzRwCtThcDgcjmngFKjD4XA4HNPAKVCHw+FwOKaBU6AOh8PhcEwDtxZuGrxdOm7AFqgOq+pbA9dWAv+Fbc9zVFWvEZFfA/4uHteo6l4RuQx4g6q+bGZj7/ARkQ3Y4tbDwG9U9ReBa1dii5RXAR/D1jm+FjgAPK6qXxWR12A7QdQD16vqfTP8CScsGcrgEuB/gKPAdk9W/i4eS7H1qkeAa4AuYLOq3jSzX+CAnMtgK7AZ2yZyTFXf6G1hVoZtHHC9qt4/w5+QEqdAsY17gdOwLXb8xcaPYIshP6GqnxKRj4nI01X1b97192CLG68BfiUiIWA1VvH2A096+xKejC1E7ygAU8lOVf8jcNt7gfeoaoeI3Ab8InDtNap6sYiswgr4DuB7qvpLEfmct4Xdy7GdeUaxPQkdeWaaZfDNwJdU9W8i8jsRuQHbl7cDU6CHgWWYXNu9cG+aoU86YShAGfwe1mAaB/zG6gZsM4EJbLuzosCZcBN8G/g+1qgow7bhWQi0edfbsZatz2rgd8Absd0EyoCrVPUtwH7g5ar6Z1X96sxE/4QmleyCtKhqh/c7efcEf7cOX77fBZ4vIl8AFmAV8UJsY98fY5uoOwpDrmUweK0HsxB8EngFtjPLm1V1MxDFNt92loPCkc8y+CTwalV9PXCpiCwD3udZH24F3p7/6E8P1wNN0Kuq/xY8ISLPBJ7lHS5lcsvnENCvqmMiMoBtFLsK2/OuG9ts2zEzpJLdy7Atle4DDojIIlU9iG2RFMTfn3Ap1nNZDHxLVTeLyHeAfZiJflxEOnGNzkKSaxnc751rw7bDKgWuVtVbReQgUCciTwPaVPVSEfmZiDSqak+hP+QEJJ9lcC1mlgdrGM3Derh3YnVrqBAfMB2cAk3PX4ErReSLAJ6p6PXANmwPwk97exX+BDPdPl9EzgPqKKJW0omIqt4C3AIgIqcB/yMiUeBL3rlvqOqbgZtF5FuYzN6Hmd+/KSLdwJOqul9Efiki3wRqcT3QmSZdGfwWtjfoVcDPVfWwiOz3TLlV2CbqC4FviMgBzBTslOcMcRxlULB9YNuBg6q6VURe7+WBBuD9M/81qXH7gTocDofDMQ2cOcrhcDgcjmlQ1CZcEdmEmcwOAfeq6o+S3ZmBczEbeZ2qvtdzY/+eqnYlhfUGzFU6BlQAbwWeBmxS1WtTvPsmoBf4T+DrmO29T1U/HLjnbOBqzDtzm6p+wzv/RuBsVb3aO045lUVE3gesxJwf3qWqnd75MszMMex925uBfyEwlQIb94m78GOmrq8B757taRbFIDdVfWfg3MXAqzHT0PUBL05EpBQzCU2o6mdEpAL4LPAXVf2xiLwYeCE2TvOAqn4zxTtrmDqPHOO+LyLXYGPkK4F3As3Be7B892XgYlU9NFU6zwTFIEvSl8FU6fsZrHOwEEvfj2Lm9yXAIVW9MvD8dZgs6jGno1Hv/DEyFZGPAIsw79DPYmOu8SlPwK+BbwDfVdUfZ5vGhaAY5JZDGZxUDwL/5MWtHHimqq5ILpdTfHMu72ggaXqTiHzVS5txbDrNG4Dnquplqd4HRa5AgX8GPunZwH8sIr/kWHfmKuB8YLuIrAc6U2SA9cB5qvpq7/jpwCmB6xuYPGbpu1hfiwnzd6r6QxH5jogsUdUD3vV3AruxqSz3emFdCJyKN1A+1VQWL0NcqKov9O55I/Ap7/KLsQqgCtiCCTR5KsW7CbjwY3PlbssmUWeAYpBbkHdjaVqKjVe/KHDtTV5chgL3TgSuV2AFqQRTbscoUNLnkVTu+68C7sEcz4568Y3f4zm8bE7xntmgGGSZdfqKSBs2daUL2Keq3cC/iU0z+y7wtsA7TwLqVfXNIvJa4KXAD73Lx7wTeI6qXiQi9VgDZwuBKU9Yhf+TaaRxISgGuQVJWQZT1YOq+inv2meAKwLPT5CerN+B1ZXx6U1e+ixW1Su8b3qXqv6XiDw33QuL3YT7eeAdIvJZTAE1kuTO7E0VuRYrHFcCMRG5zsvwPqcDD/gHqvo3VX0gcF1IuF+XMTldgq7yHVgL1OdMTHG9HXMoWokJ/CuBd001lWUeNs8NjnXPPxnY5X3nRqw1ljyVIpULf7FQDHILIqoaVdURkryjVfV64E+B408BDweOf+yF/TnvLxXp8sgk932vx/smr0L6EVZRp3Pxn22KQZZZpy9WdjpV9e0AgQrwtcCPVLU/Kdx273e6KTL+O78m5pn9Nkz5JE95WkDxUAxyCzJVGUxZD4rIWqBMVR/23jupXB7vOzRpepOac9mfxBzQLidLWRa7Al0OfEJV34sJagBzZ4Zj3ZnfiE2SvhSbk/QvgWuPAPGWhIhcIiLx66q6VVWvCvz9OvCs7yoPZgLqCFw76MVpAOsZvhLLqJ8EniUiF6T5tiNAk/fbd9/2OYR5g4K1pHvwplIA/lSKYLzmYaauYmHW5SYiV3st71cCEREJiUglEMnlQ0RkEfAd4Duq+sfA+dO88G8gfR454IWBlxZPwwooWP6pS3FPMTHrsiS39A2WneC0oxdgJtYgbV54cGwZTPXOalV9LdZL7SEx5emdWGW8n+Jh1uWWZRmcqh58G9bLT8t03yE2vSmiqpcC54hIIzCkqm8C/oathpSRYjfhtmPuzL3AL1W1X0TWSpI7s4gsBeap6mOeCedfsUm9AHjn7xWRn2OFK0TCjp+JnwE3iMgzgD2eqehD2GoZn8Qy3BjwFVW9w4vPSuADqnpvcmCecD+tqu8UkT+LyNcwpfsWETkHG+f8HvAtETkLE+rjcuxUigkmu/DHRIqm7p11uXk9y+u997RjUx7KgWu8XuCXNbAsXBp+gFWO7xWRQ9jyjZ/2Ks1XeOFXMnUe+RyT3fcfAZpF5CuY8vxX4I6ke4qJWZcl6ctgcvreDbxSRL6E9UKu9yrHUVWbciC24s3LVfVaETnqfUsd8CYReQFmAkz1zrCIfBsrgx/AzO/BKU/trgwmyLYMJteD3uOnqeqTU4UtIlcAI8fxjlNJmt4kIstF5BuYNe9tKV57bDzUTWNJiaQYCM9TuCWYnf8beQ73aRSJE9FsUii5BcIviPyS3vEcisSJaDYpYBmsBf5RVb+f8ebcwl1OkTgRzSaFLoPeO84GyrWAa+KKyPvJ4ESUVoGKLaK9CVsBAlUtlgFyh8PhcDhmlUxjoOcBPZ7ivHgG4uNwOBwOx5wgGyei+SLyD5jd3OFwOBwOB5lNuPOwOWsTmAt495Q3OxwOh8NxApGpB3ot8AdswvBHCx4bh8PhcDjmCJkU6LCq7lLVv+YSqIhcLiLv8LyYEJHXisg1YkvcpeWyyy5TbEK0+8vPX844+RXV37RwMiyqv2nhZFg0f1OSSYHuEFvG6mZgV4Z7g1ykql8EGsXWdd2ATd4dS/8YdHV1ZbqlaIh09R7X9SLmKSe/bGUxh2WWzFNChjMljyKVe1HI0E+bIk2jWSWTAv0xtlDAjdgE8GyJef/9WcVfUNUvAGd4k1snISJvEpHNIrK5s7Mzh9cUB1NlrIrmhpT3zoGM+JSTX0VzQ8aKINLVO+m+Oc5TToaFpH9vR+abZp6ikKFfj1U0N9C3az99u4ppwaXZJZMT0Q+wVVJigKrqzVkFKvISYAW2useD2OLDAlSp6ifTPbtx40bdvLlY1tHOD0fuf4z555+W8ppfWU+lbFOdz5Gcl0Z5qskvqBD99EyXtulkMgtMa2mbp4oM81QGUoYXlHOw8VQAuc95Gfbt2k+4qQ4gZfo9xZlSfpmW8tupqjfm+jZV/XnSqd/lGsZMMJ3CEixo/Xs7GGzrpGn9qnjmAhjtTqxXPdo7SLihJv5c+20PUrtiAeGmOiqaG+JhHbn/MepOtrWsU/WC+nbtp/7U5Xn5hkzMFfkFSZUOfhqOdvdTf+pynrjlLkJ1VXRv3UNFSwMLLzgdgIHWwwA0n72GiuYG+vd2UHfy4kJVpjPCXJRhKvKZ/r4SOHL/Y4QbbHOk0d5B+vd28MBHb+Rp73oFofrqQirSnCiEDJMbEJkakWAyCDfV0b+3g90/+AOloXLWvfFFDLQeZuml56ZUpOk6DYUi+XtmQsFnMuGeISK3iMjN3jjoCUHQ1Bc0ufoC8k0Yg22d1CxrYaD1MKPd/XQ9vJuK5ga6t+1jtHcQgJ4drRy6dzuj3f307dpP7YoFDLQepuvh3fTt2k+kq5fW39zLYJuZXPr3dnDk/seoaG5gtLs//n5feUa6ek94E0py4yLZ9Oo3SMCUZ7ipjiduuYuRw92033Y/45FRIp297PjmrxjtHSTaP0ztigX07+1g102/J9o3NKkRFEzvVO92FIZshzvSmeR33fT7+LGvBHp2tBJuqqP99s307GjliZ/egZSUsPv7t3Lw7q1Eunonyf+pRLCc+L/9eggmp7nfmDxy/2P07+0g2jfE4IEuju5q49C92+neuof22x6Mh+0/63cGkodMCl1v+d8TjH9ybznfZOqBvh+4AHMgKspBguMhU8vEF8hod3+8Io509cZ7j91bzK+qZlkLo72DhOqrab/tQdp+/1eaz17LcIcN5C969lkAdG/bFw87VFfFQOthBloPU724mdoVC+i4cysATetXJRSA14P1FXf9qcvj4zVT9UqfqviKMp2527cMzD//tHjhHu0dpGZZCwduv5/I0QFi0QPULZ9PtHeQg3dvpenM1XRv28fI4W4qF9imDQOth+neto/FF53JaO/gpAIYbOnOdi/lqUy2aZvO8nDqVc9n102/Z+EFp9N++2bq1yyjenEzHXdujct6tKefkd4BRvoGKasK03HnVkJ1VYz2DsatQrnEZy7h12tAXPEFLWV1Jy+m6+Hd1K5YQM+OVspC5Qy0HaHr4Z00nLqCaP8w/Xs7CDfUxOu3pvWrJnU0fPz6M1mJ54N0CtKvJ/3/+bQuZFKgH8O2wdkCfBFv94mnGqmE6Se23xP0BeCbLZ645S5KK0L07thH2+//Su3KxXRv28v8c08jNhzl6LY9AEyMxdj9/VuZt341ZVVhuh7eSVl1JQANp66grLqSobbDhOqr6d2xj4Z1qxhoteNo31Dc3Bscg/ALtZ8Z/PjNZZLHoKYyx6Q6H5QPQLihJq48u7fuoenM1ez41q+oWjiPSN8go4MjDHV0sWjTaRx58DGObttD/ZplDDzZQe3KxVQvW0BsaITY8ChddVU0n70mXtF03LmVk1727BOu8TKbJJfP5LQPVoxBheCXm8Z1K+jeto+lF2/k0L3b6Xl0L6H6Gvp2txGLRIkORWBsHIAjj7VSXlNF5YImms5cPXk4xgt7LirSYLnyv2m0uz9uKas/dXm8owAQqq+me9s+QnVVRPuH4+k20jsAQN++QwwfOkrVwnk0nLoCgLLqSvp32xaq7bdvpqy6koUXnJ5oiCbVU9NJx6lM0L7CDjfVxa2BSy89N/5tQStePuWXSYH2A4OquktEMrpOFzvJJlgfv1D410e7+xloPUz9qcs5cv9jcfNquKmOgdbDbP3vH1HR0kDn33dTUlpCxbxaxr2CeOi+R4lFolQvaebg5l3MO3kR/Qe6GOkZpGXDyYQb6+jbd5CJ8cTm6hPRMXbc8H/UrlzMyOFuenfsY+ml59HnZcbHb76VU159Wfwb+vd2TMoEfoVRDOM22ZIc1+R4JxcI3/zmm4b8gu43NsDSoevh3QDxcc7enfvo39tG7fIFjA0OMxGbiFeW3TtaiQ5HqJpXT/+dWxgbGGZibJyRzh5CtdWUVoQ4eNcW+na3MdzRxYoXPZOm9atSKvNUij3d8Vxkpr9hqsZhumP/d/ttDxLtH44rgIF9HQzsM8vNyJEeRnv66T/QxdjA8KSwNBLl6K42FtbXcOT+7Ry5fzunXf3iuAnTZ67JMtjrG+0dZKD1sDUMPQV65P7H4t936N7tVC9uJlRXxVBHF4fu2ULz2WspDYeoXdxEpLuf4cNHARju7qc0VM7IkR7mrV8NwNjgMMMdXVQtbqZ72z7GBofjcvQta/PPPy3R4A2U8Wysgsm//XrCryMG2zpZfNGZtN/2YLzxm6rBNdVxLmQaA/0DsF5EfgUkD2jPGZJbsPWnLqf+1OXxRE922gk31dG3u4322x6kZ0dr3Ny69yd3xHs0XQ/vZOBgFyM9A3Tvaqfzkb2MdPYSi0QZHRyh/b7tjI+OMnioxyrmWIyu7fvoeHAnQ119RLyMGxsaIXJ0gEivZd6y6kqifYN0bt5J/ZplRPuHOeXVl8XHWSuaG+IOEP43Jffcih2/4ATjmmp8JFigRrv7CTfUxFvJh+7dTvvtmwnVVzPY1smum37PaHc/3Vv3cOT+7YCXtr1DDBzopnPbXibGYozHxuPhR/uGYGyc4c6j8Yq0d/8Rune0EunuZejAEXp3t1FWXUlpRYhwQ82k3k2wMCePmaVqEMx1UlkECk3QOS/d+LP/+8j9jxHp6qX57DWTlOfI4W5GDncz2HaIWCTK0b0HKSlLXf0N9w5w6IEd9Dz2JA3rVvH3a79P5+adNJ+9Jl7RzjU/BD99uh7eTbRviOaz18Sv7f3fO4j2DdG9dQ/R/mG6Ht7Jwbu20L11D10P72RibJz2Ox5isO1wvJ7yGRuJ0LV9H5XzG+nf20Z0YIihtsMMth2m464tjBzuprzGzOHttz1IuKGGnh22V3W4qS6enr61L9M3JPsj+ENqYPmz9Vd/AcyXJFRfTf/ejngP1CdTgywXMinQC1X1har6IlX9xbTfMgukmrqQXHH7Csk/P9rdz5H7H6Pr4d2c/PLnEqqvpnHdiriTycC+DmpXLWbvT/7I4IEuiE0Q7RsiNjQSb5GNdPYyMTIK0RiMKyOd9q5Idz9DHV1MjIzadeDorv30PHGIWDTG2HCEA3/ZStfDOxkbHKZ+zTL2/uSP9vvU5UT7hycJOvh9vtNR8FuLmeTCEiwEwXNwbEV16N6Eclx68UaifUOE6qom3ROeV0fHXx/h6LY9xCJRKhtrqJpXz9G9B+NpP4mEMYDx4QjRviEOb93D4W1PALDnp3cw8GQH7bdvpuvh3XTcuZVd3/n9JKeJoJNX8BtSOWfMVYIymYl85pfP9tsejPdcfAUZbDBGunrj/gO+tWjb5/+X9ttsq8ho7wBjg8N0bd9HbGiEkR4zQ472DE7x4jFikVH6D3bT+qu7ObLVTPy+Q82u7/w+9XMexShnX161Kxaw9NJz45aawbZO5p9/OtH+YcYjo9Qsa+GMt72UqsXNjBy2pc9jkSg1S5oZ8uqyScQmiHT3c+ihxzn88G4OPrSLtju30L1zP32ttpXtvp/9ma3/8yOi/cO0376Z8pqq+BCLX3f580unSrtgPRC8z/8u3ynz6M5W9v3sz7T+6i/UnbyYwbZO2m97MJ4//Hdm24jPRCYT7uUisgYYBFDVV+f8hhkilTktuVeWPIDsmxR8Jx0gPs5V0dzA3p/cQVl1JUfu22at2CM9tP3+rwx3DzDkOQiVVlUwPhzJOb7jwxHGPetRbHQUYhMg0LltH7GREaJ9w1QvaebQPVvY89M7WPn/LuDI/Y/Rs6OVas80UrOshfnnnzZpmsxcYappJ0GHLf96x51bqVnWEv/2vf97B+F5dXHHrc7NOxnY10FsaIT2Ox+mqqmOuuXzKQ2VoxMTDHf3m4NIeXl2kQuXQ3SMcF0lfQe7qaippL+9k3BjHWXVlVQvbmY8Mhp3Nmk+e03cBFa7YgFdD++OT4nxSR5fD35fsldkscrRj19yYwcK8w1++axdscDG4Ha0svCC0yc59PmVb82ylnh53fuTOwg11HLkwccI1dfQtX0fFXVVlJSVMXioh1g0xkQ0arP7ppgGH4vGmBgZpXf/EZrXLuPgXVsYH42y7o0vYuWLnsFo7+CUpr9ik19waCrcVEf7bQ8Sqq+m6+HdjA0OU7OshaGOLsLz6hhs66T1V3/h0OYdlFVWMD4aJRYZY2wkSnR4lOqWhpTviA2N2I+xccYkar8Vdvz4dkpLSykLl3Hg9vupO3kZobqquNNk0/pVAHGT8lRx9828Qccu3+rTv7cjbqqtaKgmNhylbs0yHrv+/2hYt4po/3DcpOv/7np49zEN+en0RDMp0DOBk4EjqtqTbaAicrn3XFhVr0s+zjmWWZAq0yb3yoIFu2/X/rj93/eyrGhuiLd0H/zQDUQHhqhsaSRydIBo3y5C9VV07WybpDDTKs9QGeXhEDqhxMbGYHycklCIiViMirpqdGKChlWLGDzUQ83CRgYP9dB8+iqqFjfHe7vzN62f1MOqXtxMtH940tzTfDuzzIT8MlW0wZZlzbKWeKHp2dHK/PNPZ9/P/xz3ogSoXbXYxl2a6hg8fJQaIDoUoTQcosJLv8jAMOHGmql7HoBUhNBIFMLljPYPUb2giaGDXUg4xGhPP0/++i9UNFSz7PnP4Mh922g842Si/dYS8j03+3a3MdTRRXlN1THh1yxrAYg7VgSVbT57LoWQYdBZJ5l049nHiz/kApM9Rf14+OXAd2I55dWX8ac3XcfE+DhjI1GGewcYH40yOhRhyXnraL9761SvihOqClPilVGA4UNdhBvr4o41ofrqY6wO+fzufMov2GEA4soGINo/TM+OVo7ct43qJfPt3ICZaX1P9eHufoaP9lFeEaZ75xS9tFAZRGOUVVdSOa+WgY5OKhpqiUXGWHjOKQwd6GLJxefHlafvGe/Lznf4SbbUBGcf+MM4vi9EMC/6Y9Rl1ZUsfNZZ9Dy6l/mb1gPmFex7EoMpXn/+ajZzYtORyYT7ReBDwHkickMO4Sav4Zh8XBCSC7avDH3693bQftuDRLp645Pnww01HLx7K62/uZd73nIdnZt3emMlh6lZtpCBJzsYONzD6OAIh7c/mVtvMxojNhYjNjICYzHCddWoKvVLWqhsqEVKSqg7eRlVTbXM37Se5ZecS9NZp1JWXUnjGSdz8sufG2+h+S7lSy89l6b1q1KaDPNIQeSXHNdUSjToEOWPZQ22ddJx51YG2zrp393Gkfu3M3/Tetp+/1d6d+zjiV/dQ++uVg787VEmxsYJ1VQx3N1PpHeQslAZJeWllFWEmLdyIbFRb3W0shJKqyqOiaNGvNbzxASMK0NHjsbXIencuZ/R/iEGOrpp+/1f6fYqnt4d++jesovd37+VLdf9gPY7HqLn0b20/f6vcTOYT+fmnbTf9gA1y1riyrN/b0chKuG8yzDVFIBU45D5IDje5f8OTs4PWpd881yks5eqxc387d+vp7yiHKIxho/2wegYkd4BNBKlPalOSEVZdSXR4VGGu3spKS+jr/Uww90DlIZDDOzr4Mj924n2DaWcb5jHdChYHRocr+/esovymiqWXHw+3dv2EhseZfBAFyVlZfTsbqf7iQ5GjvbBxMQkx8djGDffgtjQCANtR2BcGR2KUF4V5uiuNsqqLO36drcx2jtIz47WSfOt/fLuW6D8HjNM7iCEm+qYf/5px5STaN8QB+/aQsOpK1hx+QU0nnFyvLHafvvm+LOjvYN0b9s3qcN0PPLKJIgY0K6qfxCRF+YQbvIajsnHkxCRNwFvAli+PHNvaqrWgp/w/jXf08vv/oO1dPwFDR6/+VaqFjfTv7eNipYGymuqGNjXQc+eA0QHhhk42E1ZRZjSslKGDx+13km2KSBAiaCRKCWVFkZJWRlV8yoYG4lSu6SJVS99DqG6KprOXB03RfqmyuAqOaH66klms0K4YyeRV/klK4fgcdClPuhR65uofXp37GM8EmV8NEppRYiuh3dSu3IxpRVh6pa2MHzoKI0nLWToSB86MUHTuhV0btsLwMTYOBPjE5SUlyIi1myMTTAei0B5adwrF6zyjA2NgO9sFLNKo7S0lPLaKka6eqlsbmDwUA8j/UOEjlaYo9jQCJWNtUyMT1BRV8XY4LCZ/+/fzooXXQhYD9Xvvcw//7R4A8/3fsyzPAtSBtM5R+Uz/vEeUt9QfN5zcE4mJOqBmmUtdG/bR0VLA0Nth2lcvYSu7fugrCResUt5OToehdHMkwlikQiMW0kf7RsiFouxaM1SIt2moGtXLaZvd5v1pALTZvLsh5CT/CD7cjjaO0i0b4ho/zCLnn0WQx1ddD28k6b1JxPtHWDe2hXsv2cr5eFyqpsbGOrsARFKSksYPyZUj/HUNeNI3yChyjAAg22HaD57rcWls5fqxc1xUzxwjMKcyufDn4lQd/LieK90sK2TqsXNgA35VC9ujperlo1r6dy8M+5w6HsFA3HHxGCHJBf5ZeqBPgk8V0R+CPSmv3USD4jIu4AR4NLAcZeqxpJvVtUbVHWjqm5saWlJvnwMU02c9lvIfovVH6/xvTYH2zo5cv9jHLp3O0/+ynZoG+7oIto3zFDbYSt0wNjQCFIilHiK0/fQjPdOsqC8pgrKymyRhAWNhGqrKKsIUbOwkfLKEBve9QrGBs05yTcBtmxcS93Ji1lx+QWM9g5S0dzA0kvPnbTEX/B7k3/nkbzKL9ioCY7H+Gb0rod3E26qs4aCVxhCdVUMtnVy8O6tHLz7YaJ9gzSddSpjg8OMdPbE554dus96nQAl5WVUNtbQcPJievYcoG5pC9GhCCXlpYQqw0R6h1BVyiorodTqISmdvCZ3fCyn1CsaoTIoKzGP3oFhUBjpHTDT3ugY/YeOMtTVS1lFmP5DR6lqqqVyfiPVS+ZTs2whK150Id1bdjE2aDL2x3n6du2PmyJTjf3kgbzKMJXTRaEJN9XRfPYawg018Qn9MLnhFenqjZePxnUriPYNEqqvscZqUwOhWmuQ5VJ2UaWkMgxlJVTOq6WkxPJCtG+YygVNdG/ZZfOGWw8z2jtIx51bC7FyUU7ys2hnVw7rTl5M7YoF8cacP3dzpLOHUEMthx/ehU5MUBoqN1+PsXHKw6FjpvxkQiNRECEaiTIxNk6ks4+OO2z1p4qWhriXrG9B8GdFQMJZzM93vjctJDzy/bHRcFMdiy86k9jwqM3fXb8qXqfWLGsh2jdE5YImwg01NK1fxalXPT8+/pk8np9r42fKHqiIfBDYBjwPKFXVrHNIijUcj5ug44VvE/fn+bT+5t5J401+b6Xzkb20bDiZ4UNdNr+vZxApLWFsaITSUDljw6PEYjHzuouOEenut/GRUpmyRTUVlS0NjHT30nL6Kvr2H2HphU/j8EO7CFWGCdVXMXCgm6WXnMtwRxd1Jy9jtHeQ8poqUxzeGJ1foaZaR3KqMcNC9ELzKb/k3mfQWcvvWfhmzHBDTdy0DjafrOnM1fGeRfeWXcxbv5rY8GjcS3k8GqNyVSPdO1ppWn8yA092EO0dpKqplnCjFY7alYs5eN92SsrLjjHBH1OxlmBeuV7Pk2iirhIRtLwUxseJRcagrIRwdQWRwREmYjEalrTYGNCCJsYjo/TvbWM8Yl6/1Yub4+us+jIupCUh3zLM9woumQguWuGb9ZrPXjNpbuium37PissvoKK5gcUXnUlFcwMH795K/942KhtriPQPU15dOWn+Zjr88e/SigrGx8eRsjJikSgVddUMHzpKLBpj38/+TONpK+Nj3EMdXZx61fOPGS46XgpRh0JiHLt/bwdLLz2XI/c/RtNZp3Lg9vs59bWXs/2rPyNcW0V5VQUT4xMs2nQaB+97LDfl6ZehcDmMj1NeWUFZVZjBQz1UVdUSGxqhrLqSnh22aIU/TOX3KiFRF/r13vzzT4v3PH3rTbDn2r1tH70798U9rvt3t9F01qkcuX871csWxB0vm9aviucbP6zjma+dzoS7FFt5aCsgIqKz6YUbnH8VHAwHv+VphWSoo4vSijADT3aw5MKnMR4ZpaS8jLLqSkrKS+nafQARYSI2Yb0Nr6Mx0HYk8bJclKcA5WWUlJdR1TKPibFxwnXV9O1uo3H1EioXNFG7ajFN61fFnZaifUPUnbw43ooK1VdPMk+lUp7+/2L20kxFqrgGe6HJ9wy0HqZpva3G5DeKIp29hOfV0bJxbXyso3vrHpY9/xk2PeHhnax77eX07thH89lrGdjXwdCBLmLDXVQvMbPORCzG2PBo5sbRBJYnSkpgfMK8NAUkHGJifBwmJiivrqKqqY5I3yDh2irE66GUlJcyETUT4fzzTydUfx51Jy+m9Tf3TnIUqmhumPGFto+H2chvyd6RQbOdb/bzFVdFs63ZOtrdz8oXPYND926n6+GdhBpqiHT2kZ36BB0157G6RU0my7FxoiOjcSe0UG0lDWtXUVYVpn93G1WLm2nZuJa+XfvnjDz9utNXSP5Ujw3vegV/v+77lFWFqZzfyNCBLkZ6B6yODJdnZfqO47U9S0pKKCkrY2J8goED3ZRXhiirrozPbz/pZc+etChK8vx2v6z4nSbfA9e33kBidagDt99vdfDiZsprqjjl1Zfx5K/+SsO6VYwc7o6vQe7XwenqpVxIp0BjwFewvUCntR1PPkj+qGSPU78irjt5MXt/cgctG9cyWFNF7arFHLz7YRZdeHZ8ZZn+/UdoWNJCz5MdVC9uYWBkBMotc2Q9HcWvgD3FW798IcPd/fEez3h0jHnrE72mRReeSfttD9C0fhV1Jy+OT/D1v8VvXYGZLTItyzeXlOdUJHsFBs8Hl9/yPS79zN9+2wMsvfQ8Fj37rMTqQw01RDp7qVnWQu+OfVQuaGL0aD+l4RCDbYcZ7emnckETLetP5uDmXZSGw5nlPIE5EYXLQRWiMSpqq9CJCXRigrLKCqoWzrM4z6u1v6YGQg21RHsHqPBc/Xt2tBJuqKHaG5uBxDg9zL21jGc67y2+6MxJJuPkoQwgPoXLHw+rP3W5t770Mzly/3ZCtdVE+oeIDAxnNOPWLp3PwJEeQvVVVDQ1EB0YorGlkZHOHmqWLaSipSE+/3i0d3DOKM0gyfVp18O7WXzRmQA0n702Pk3r4F1baKwIcfihXVTWWVkbHRxJPY86BWXVlYRqKhmPRqmoN8XYtP5khg5YRyVUV8Wum34fXwccEmUejh328Rdd8K0hkCg/R+5/jOol82m7cwvz1q8mVGeWvZUvekbcojXaOxivRxZecPqknXlS5atsSadAu4C3YovJ+7wu5zccJ1N9VDDx/NZUy8a18YnUY4PDNJ+9lpplLVS2NDLwZAdloTLqTlrMUJetGFTVMo/RgWGo8pxLAsSnM5SVJMx5AKWlMB6jemEzkd5BqhbOo6wiRMNaa+nULFtIWVWYFZdfEB+z8ZcCS2WyC/6eiwUyX6SSczA9wk11ceXqz931zfj+vLyll55nZuB9HYTn1VFaEWLgyQ56d9rYdri2imFvLc+pkIoQZeVlxMZilIfLbem/8nIiA8MsOW8dtasWc3TbHmqWLQSIV6xBK4jvpu+vJ1qzrGXSOqN+3p1LyhNseTxfBlD4pf2CwzX++4INEOCYYZ1IVy+h+mp6drRy2tUvpuvh3fTubiNUXcHA4R6zIkRTDiESHRymflETJaFySitC1DTUUtHSQMO6VXHnvvo1y+ac3IIk9+yC4++nv+0l8fW+m846lVBdFZ1/303NwhbrQVaUMzqVAvXm1IYbaxgdHImf1gmlYl4tAKUVYUq8cdWhtsNUL1sQLyu+z4ffCw3mrVR5zFeAfu9/sK2Tkc4eKhc0EaqvjvdMfcXp+8IEl/YL+iEkk23eTqdAfwfsBI5mDGUWCJoi/FaEbxY9dO92GtetiLtKj0eilJSXUVJaSt2aZYQaahlsO0Tv3g4als9n8PBRm/qgaqa53kFKykrQcDljo2NoyQS1C+YRHRymNBSisrGGwcNHaV67jMqWRlZc/kyaz14Tn5bgD4r7TjHB1tRcNMPONsnOU8GpDH6BiPYNWcHxF8desyxu5h3Y10G0d8DGJ3tr6N57wDxvQ2UwFoNym8MmFSHC1RWEa6uYGJ+gftUiAEJeCzraN0jvrlbqTl4G2GYAJ7/8uXHToj+OGxwvDDfkfweI2SKoPCH1/Op8fqdvtgsq0VRWi+B5v6z5DWmA+eeeRkVLA3t+egcVddX0HuhEVY8xS9YtbaFh7aq4BQFs7Lr1N3/hjLe9lBWXXxCPl89cVKapGvBBD91QfXW8t7bpU2+me9s+jty3Le5k6VNWXcn4+DgVtVXEIlFKQ2WMDkVoXL6Q0cER6lctJDY0QvWS+YxHolS0NMRnO5x29YuP8X4N9i7Txd3vkQbjftLLnh2fG9/18O74fNFo31BcKadb0i/ZGpRtHk7nhdsMVAJLAn9FR6Srd9JemuGmOnPO8RKtb3cb46NRJsZihOqrGGo7TEVLA6Whcirqqgk11BCqqSJUXUHN/AbGhiOUhsrQCSVcV03dwnk0nbSY0f4hKuprmHfqMmqWLWD5xedREipn6aXnxc2J/jiX79Aw//zT5sRKJcVKqknVwbQL9kb8ebKDbZ1xD7/aVYvj65+GGsx5IToUoX5JCyWVYcrDIRAoKy+noqmOqnl1VDbUEqqtZOULn0nlgib69h1k4Enr0VYuaKI0VE7TmaupXbWYlo1r48rTl7fv1efv5Zo8xWEuM5UHbqGmstSfujzeIEkOO9Oya/4iFX4+AGhat4LqJc0mZ88sGaRqYTPR3gH6d7dRXlMVd/xqPnttvGHmxws4xoNzLuPn1/nnnzbJH8Pf5g+gsqHWGp0esUiE0tJSqprqKCkrobKhlvmnraDupMVUz6+nZtlCnvb+VzEeiRJqqKVx3QpiQyOc9LJn29Cb1ziC3PJNcn7zlSrYFJall55r3rkNNSy99NxjFGPyXPPjIV0P9FWYC4Xi+SUCRbepdkVzAye97Nnx4/69HfHjgdbDDHV0se6NL+LJX9mk9oZ1q+JjZf8/e28eH9dV3v+/n5nRaGak0WJZimx5i53YjpfEJnFWspFA0rIXCv22BcK+dAFa6A/KUnYoUNaWlJQdCqEFGigJDo0JSUgMsRM7ie3YjlfZshXJ2mbfz++Pc8+dO+PR6pE0su/n9ZrXzNzl3HPPc855nvNsp3XdCg7d9SAqXyB4fiv5TBaP10s6lmT+2vPJZ7IE21vxBupZ+LzLAGzHlmwsgS9UX5IVpcpxYOc8xmtHp03EtL+x55gMRm3rzyc9GKHtkgtIPjuAp87H8OGTBFvDpEfihNrn4fX7CLQ04KnzkUukCXVqm+WC6y5hwXWX2GE1APOf80e2yrDS7hFOL+OzrR+Mpj2ZztV1pRzJgfktpwmm5XUw6d2MFgCKY3fRC67g+K//wEjAX+o8CLRtXEX08ImS1UxdY4jMSHxMX4y5jnImYxhNeiDCANje5elYklSk6JYV7pxn7cJygI4r1hI9fIKmCxeTT2fwheo58ouHWf/uV9nmixWvfp692htNfToRlN9n0vz5m0Ilntpj3VsNeo7KQJVSrxGRL6AzESngU1N6wjSgUjYUZ4ON7Ovm+H3bab9sta1jb7vkAsJLr+HILx7GG6hnwXWXUN/SSPzYs7RcdD7+phADTxygkMmy6JYrSPUP03bJBXaYTOdVa+18jU6vMJdpzhzGC+NxSpPGtnPq8WfouGIt859zIZlIwrZlnXp8L8H2VvIpnTczfuxZFr3gck4++ITtNW32NDTpE7OxhK3GHG8LubO1P8z0uzodrsYSSsqPl+e3Bi30dl61lv3f20w+k6XzynVkYo/ibwzh8Xrwt4Rtocswj/DS80pUf5VCzM5GlOyHbHm/7rn9Ljovv4iRZ47hqfPiqfMRaGth1ev/yFaXBs9rw98Usp2DnG1n2jR69Nkxhc/JwgjRI/u6OfngEyVpAc+07PEwXiaihcA6tIm4Y1pqMAVUanhnOjTQSQnsTEQtjfZvwzgHnjpM//a9LHrB5Rz/9aOseNXz7LiozIjekge0ZGOyApUHvJdnRnExvRjL2F9+zkwATgcCs4rMxZPMf85q2/Fn5JljrHn7y9hz+100LD6P5LMDpBe3296WdsYTRwLzs5VBjoXZtONOdoVQnlnGhL2M7Oum6cLFdsKMQHMjbetXkOwfYsF1Wnth9gI2cL63cVicyVX4bMDZfuadjVNWsn+IYHurHV9p8syanZGc2cSgmCDBLHKma/XevGoJy15Smi/ZvINBtek0HgP9K+DVQB7424kUaOVp/JBV9veUUvus43cCO4GfK6WenmqFDcobwulYYv47JR/ndSP7uln+yuvt/ek6rlhrSzDmfPluGuXPNtefTYMGZo5+1cJY7V+eq9R47TZfqJ2AjABk3OjNSrXS5r5zic7TRcO51AYG5Rqi5lVLbKEocvCEvWLKRBL2bjrl8YijlTnesamilsag076YHojgb25gwXXPsTP8APZKs9yxpzw8ZLr6j/OZ4/mcVLsOYzJQpdQA8LWJFCQibweuRzsf/Rb4LPBe4CMiYhyS/MDYcQQTQCUVrpNITqI7VQjlnnyGSZbHF5V7a5U/r1w1dDZgJuk3Exgty49hlpUYpNmhofy+ubK6ONtoOB1wrqjqWxptJ6VaUM3WKv2cfb++ramEMTpX+KPdM9vjZzqfP14u3AlDKXW7UurP0ATfX3Y6CbwRvbvLG8vvFZG3iMh2Edne399ffvo0TER3Xu5W7yRwJc+vSp1grPLPNswk/WYaTroadZKT3uX9wMSXOY/NZA7YqeJspmG14Ny8wKgTDTOFmbGbjYYzoR9MPw2dixTjtVu+cDEw7TiTzLN8nFYa39WGKFU5rZmIfJuy7WaVUuMmUrDUD59Gb8L9Y2At8BDwUeAEcLdS6vHR7r/sssvU9u3bJ1r/SWO2paFZwKSySNU6/aYTNdo3Jp0F7Fym4WQwg/Se0TEItUHDGh1PU8Go9BvLC/f1ACJyHvBFYMtEnmTtFPBex6G91vfbJ3L/dOMsIei0odbpN504W/rGuUzDyaBW6X220K9W27eaGFOFKyIvR+fDfZ9S6pszU6WpYy6o2VzUBty+4gLcfjATOJvbeCwV7veBFuAraC9clFK/mfYKifQDR6tc7Hx0bt9qYy6Ue0opdWuVyhoXZ0i/6WrPmX5GNZ8zo/SDqozB6WzjuTDmyjEXaTgaZmr81NLzR6XfWF6491nfC6pfn9GhlBp/R+1JQkS2K6UuO9fLnQmcCf1m4r1nqm3PVRrC9L67O+YmhumYR2H222m2n1+OsRjoMsfvye0u7cKFCxcuXJzlGIuBfsf6DqE9wp6c9tq4cOHChQsXcwRjeeEeFZHL0blwP6GU2jZz1ao67nDLnROYifeeqbY9V2kI0/vu7pibXcx2O83280swlhPRx4H1aAaaBFBKHZq5qrlw4cKFCxe1i7FUuDlgB/AK7P3G+dhMVMqFCxcuXLiodYy6Aj0bICIbgA8qpV4pIq9Bh+VklFJfP8NyXwSsAOqVUp8944rqMv3AJ4CHgcuAAPDPSqnZdBmfETiTZAM3AXXAcaXUf1f5OVWnW1n5rweWo4VPD9AAvF8pla32s2oJIhJEJ1sZBB5A79zUAmSAzcAbmGJbjDaGz7TcsmdMa784WzDT7SQirwMWW888jjUnAn/GNM0Rk0XVcuHWCkTk7SJypzUpNwJHrFOXKKW+Clw46s0Txw1KqS8DrVbarWqgE3gCCAN3o524XlSlsmsODjrdh35nkyR7mVLqi8AV0/DY6aCbExcDA0AcuB24H7hmGp5TEzA0BH4IfAOddu58SsfanzLJtpjgGJ50uWNguvvF2YKZbqf7lFKfADYBv6I4J07nHDEpnHWdRSl1O3pgASAiL7N+5qr4GFPWpPOUjgalVLeI9KAlrkK1yq1VGDqJSAN6l4ks8C6qS6dyVJ1uZfiS5XyXB74/Tc+oGTjHmohcDfwR8EngU47L8kyyP09wDE+63DEw3f3ibMFMt1OfiHwM+CaltJ/OOWJSOOsY6Bg4ICJ/w+m7HEwFj4rIu9EZKqpNTAW8CkgDX6py2bWIBopJsv8XeJ5Fp0en4VnTSTeAl4uIAB8G3omm5cen4Tk1BRE5H/gq8D/AjZSOtS1owagabTFd5U53vzhbMNPt9FU0s8yg96VOoefE+dM4R0wKZ7UN1IULFy5cuJgunHU2UBcuXLhw4WIm4DJQFy5cuHDhYgpwGagLFy5cuHAxBbgM1IULFy5cuJgCXAY6BkTkBhH5sIh4ReTHIvJWEdkiIn8vIk+JyA+sz4tE5H9ExOu47x2zXf9zFWPQ7RUi8q8i8h8i8p8iskxEPiIid1l0/J6VFMDFLGKccRcXkSbrundYdPsjEamZLa7OdUyWfrNd3zPBuRTGMmGIyHOBt6EzX1wJ3AusAXahs6z8GmhVSn3Qcc95wPPRGVJeBbx/hqt9zmMCdNuPps2fA4uAhdat71FKHRCRTcCbReRZdDhGE3CbUiozoy9yjmKC4+5FwEuAH6BjpgHOA7Ii8l/WtRcB7wDejc5clFBKvW/GXuQcxVTpJyKXoMO+WtChKzejk8m8DZ2L/ZPofOwPKqX+c8ZeaAJwV6CV8QbgNnQAL8BjwBNKqY+jswVFgReLyHesz3p0FpaXWokBlFJqZBbqfa5jTLoppZ4C/g34F+B9wLNl9z8FrAKWoNPSfR0dsO9iZjCRcfcIcJWILAGOlt3vU0p9DPgNeiOMZcABdKYkF9OPqdJvEPguOq7zOnRc7+fRDHcQnaXtQeB3M/IWk4DLQCvDZDgZa/L8X6XUbdbnKaVUDB3w+xo0M3Ux8xiTbiJyIdCulHoX8CHg/yu75DLgGfTA/RFaAr5kWmrqohImMu4UEAFeD/yk7FzC+s6i57Yvo/cx/pIxr7iYVkyVfq9F57vdgc5y1GBds8Q6/w/oxDKfrHJ9zxiuCrcyvgl8i7Hb56Uissz6/Wul1PfQjPMLSqkrp7l+LipjPLodBt4rIi9HbxT/eeAFwOdFJG5d8zbgxdbxPHBsWmvswomJjDuAu4B/VEqd0omfRsWr0Ll0n1ZKuZqE6cdU6XccuB69AEmgU0G+Hfh7tJr3/UAfUHN7UruZiFy4cOHChYspwFXhunDhwoULF1OAy0BduHDhwoWLKcBloC5cuHDhwsUU4DJQFy5cuHDhYgpwGagLFy5cuHAxBbgM1IULFy5cuJgCXAbqwoULFy5cTAEuA3XhwoULFy6mAJeBunDhwoULF1OAy0BduHDhwoWLKcDNhTsORORidC7GBPBLpdT/OM69Br17QAj4KHrngH8FTgInlVKfFZF/Qu8MEQP+Wyl19wy/wjkLEfEAd6B3gahXSr2j7PwFaJpstP7/GzrZdR74qFJqsPwaFzOLsWgoIl3onXUGgd1KqX+zjm8AvqGUukxElgI/B3aix6S7zeAMYhz6nUYbEfln9MKuE3gXen59MeAFvqSU2jGjLzAOzmkGKiIfQe9X93zgp9bhPqXUPzouew/w90qpEyLya+B/HOdep5S6WUTORzPZzwGfVko9ISL3AJ8FrkZvqVSP3t7HRZUxGh2B+4BDSqlPichHReRqpdQj1j2dwJuAuPW/FViolHq5JTS922Ko9jUupg9ToSHwVuArSqlHROQeEbkDmAe8ERiwrrkO6LV+m/tcVBlTpF8JbaxN0RcDp4DDSqkBEVFoOm8AXo7esaVmcE4zUAvfQu8LGbb+l2971K6UOmH9Ls+8n7W+j6Mn32dEJCgiP6W4192ngQeAtcDHgLdUs/IubFSiYyfF3VSOU9xAG6VUL/A+Edls/R8SkS3WJHwEOK/8GhfTjknRsOzcENAKfAL4O+C/reOPoifxZ4H7RGSzUiqLi+nAZOlXQhv0/rv9Sql3isjHROR5Sqm7ROR69NZ075r+V5gcXAYKw0qpv3EeEJFXAq8Efg/0iMgCpdRJ9F51Tpj97xYBJ6z9JtNKqVeIyBdEZCNwhVLqtyIyAPin91XOaVSi43OBa62/i4Dd45QRV0q9RURu4HRau5h+TJaG3daxY+iV5+XW9+eANSLyOvQ+kluVUgURieH6fUwnJku/jZTSphe9DyhAP+ARkZvQG6RfCmwGfjt91Z88XAZaAUqpn2Bt9ioia4B/EZEM8BXr2NeVUm8Fvici3wCagPeiJa4vikg32i66G/hjEbkdvUnsJ2b8Zc5tPAy8RkS+DGCp+t4IPKWUerTC9UtE5OtAM/BXM1hPF6NjVBoC3wC+ICK3AT9TSv0S+CWAtdL8rohcCnxORPqBe5RS6Vl5i3MXY9HvGRy0AR4E/kJEvoI2ed0O3AZ8F0gCP5j56o8Ndz9QFy5cuHDhYgpw1RkuXLhw4cLFFFBzKlwRuRLtBNCL1o//SES+ia6rQi/rN6FtHU1KqfeIyLuB7yulTpWV9Sa0p1cOCADvQHtzXamU+kyFZ38Hrcd/l+PYzcBr0Tax2x0eZIjIe4FlaJXfu9FqW9stGx3acjvaI3Ax8Hal1GCF55aEwyil9jvOfRatzmgG3qqUSlveap9TSt0oIvVoVdYgkAL+CfgC4FFKvW20dp4p1AI9gQ8C/46mw4hS6sNl1znb8xI0LbGe9Rarri+1vu9WSt3luPc0+ljHLwQ+grbl+JRSf12hv7zKevc64LloddVXgZstB6ZZR63TrzzMDPgVZWMO+FPgSnQo2XeVUtsd95fQRCnVbx0/LfxCRG6lrB9Y3tw/QftM+NGOMN9VSt054UaeZswBGl4PfBIdrfCUUupfRGQrsM+65J1oB6I2oB0dzvIH694Jh8kAd1I2tpVS94lIM7AVeB5wDfAZpdSFE2ja2mOgwP8DPmmFgtwpIj8HLga2oZ12dqMZzRXAbhFZj/bcKif0euBypdRrrf9XAysd5y8G/tZxiwlPKe8Efwe8DG3f/DHwEuv+AHCdUurFInIj8Ga0M4PTZX4+8C2l1EMi8vfoTnpvhXcuD4d5i/WM5UCzUuqtIvJ64BUi8iRwCzpWEbTr+Cml1LtF5CXAX6DDZ95X4TmzgVqg56vQ9q8fisi3RaRLKdVj3bcOR3sqpZ4AbhORTcAJa4D9FHga7QTxuOOZp9EH+KF1ugN4v1KqW0R+LiJByvqLUupTVjn/DLxcKfW4iNiTe42gpunH6WFm2zh9zP0pmsYC/BfwJ9YzK43hT1nl3kBZ+IV13u4HIuJDj9cIgEXrH0++iacdtU7D69AMzoMOZ1kENAIZ4DC6ffcppe60bNqvBP5g3XsDEwyTGWVse9A0PwiglPqpiLx5og1biwz0i8CHRWQQ3YitwHstT9YXAX9rTTz3Wy//GXRn/izwZQdR1qLdpAFtvAYQ7WEJejA53380dbYopTLWvfWO4/PQcU5QdM/+KaVu2bcopY5bBLsE7YpdCSXhMI7jndYxc+4SpdQPgV0iYjzbdgIvFZGvoTtahNpCLdCzE3jI+n0CWAD0WOXsorQ9Df4BrXkAeA7wGqucTziOn0YfR/0etur3BrQ3dyun9xdEZDV6hWoz5hpDTdOPsjAzpdRxoHzMZYFvo8OTnJ7wlcaw85nl4Rcl/cBiJO+0Vlm1jFqn4d1oB8002pnoT4G/UEo9KSKfB66ymOd56HH5d2XlTihMRoohTM6x/U9orYGzzAmjFm2gS9Cd8z1ogkTRqyzQy3/nAHgz8B3gBegYpD93nHsSvSQHQESeLyL2eaXUE0qp2xyf/3Vc+3ZLUvsLICUifmsFkXKU34dWKYAVxoJ2y/YrpQpodZFHRN6KXrW+QSmVczzjw9YzXkBZOIzjGceArlHOGQSBpy3VxV6K8ae1glmnJ8VwB9DtWakdbVhS7m6lVNI6dBRN+4GyS0elj4jUicgXgaRS6tNU7i+gvX2/OlZ9Zhm1Tr8eEVlgirXKLh9zi9Hq8c9SFFZhdJqUP9OcG60f1DpqnYZXAQWlVApNn6XAec76icg1aMb+Vw6GXl5uOQ0rzcf22BaRdrRq/x1WHf6BSaIWV6DHgc+LyDDwc6VURERWi3aDbsF6SWuZP08ptUdEjgF/jcPN2Tq+VUR+hl6V+Snq68eEUup2tF0AETmOtjHWAR8XES/wVcsmcr+18msF3gZcQKlb9pXAh4H7ge9Y116CtkN8zDxPRFrFEQ4jOkXZG5VSHxORQevdm6iQhEEplRCR6ywpMGRds6D8ulnErNMTrRm4wxqEByx13wfQNp7uCtdfBzhVqf+KdqWvAz4hWtX+aqXUZ8rpIyIvRKv7N6DVS+3Wsb9BS/jO/gKwRil1ZALvMFuoafqh7f12mJloe1r5mBu2rq0DPmMJw59WSr2rfAxbE+ylwH9wevhFST+YfFPOGmqdhoeAr4tIAj3vHkInMLkV3dY7gP3AFuBLInI/sAdYhabHhMJklPYfsce20vbuW6x3/w5awJoU3DAWB6SCE9E0POOFaEN5pYm7Ws/4GjXiRDSbmC56ikgYeKlSqqpxaaLtcDXlRDSbmEb6edA26K9Xudwl1KAT0WxiGmm4ENiklPp5lct9BZNwIhqTgYrO5HElVvYHpVQtGshduHDhwoWLGcd4NtDLgSGLcd48A/Vx4cKFCxcu5gQm4kTUISK3oHXlLly4cOHChQvGV+HOA/4S7SX6I6XUXPM+c+HChQsXLqYF461AP4MO/N+BzqriwoULFy5cuGB8BppQSu0zQeEThYi8SETeKSLGPfr1IvJxmUCGh1tvvVWh00u5n+p8Jg2XfjX1mRJcGtbUZ0pwaVgzn1ExHgN9WnTape9RzEs4EdyglPoy0Co63dXF6IDYcTeyPXXq1HiXTAgjkfz4F7kYDdNOP5c+045ZH4PnKqrYt2uahu4YHp+B3onORvFNdBaKicJk3DGbEn9JKfUlYJ2ViKAEIvIWEdkuItv7+/sn8ZjR0dxU+phyYjv/m99uh7AxrfQbieRPo89EMNfoM5X6VvEdq0bDudbus42ek5lqFTXr86gT09UPZrt/ncnzx2OgX0MnC15mfSaKR0Vn80+iU0K93Po/pJQ6rbZKqTuUUpcppS5rb2+fxGMmjuYmb8WGMpN5+aQ+20SdZVSNfnv2JcsvnxLzPJP7pgvj9ZFK9Z3KPVNE1WhYa+1e6+gfyI1/0cRQFRpOdS4rv6+8H1SrX8x0/xqJ5EvebSrj1GC8VH57lVLfnEzlAJRSPys7dM9ky6gGxmOOI5E8kaj+7N6bJBj0cP3VYY71ZGgKeznWk2Fxl7+krPLfYz13vGMTuW82UE36VZpMytsSRtcYTKQ9ptK2k2nr0fpR+TuMVt/R7j/WkyEay7NmVdA+tnnLCLfe1Dyheo2FatJwz75kSR1djI1f/PIU118dPuNyqkXDyfRz5/WV5jszZ5bPi5XGwEgkT8/JzGl9Z6Lz45nMuZXG0WhlnMniabwV6DoR+YmIfM+yg9YMnC95rKeyyqS5yWufMyuhPfuSRKJ59h9M0XMyw+69SQ4dTdM2z8cjv4+wecsIh46miUTzRGN5tu2I22WVP7fSf+dzx5tYy8uoBeZZbdx//xBQ2k77DxZz8jc3eU9jKqZDm4HpFHjM781bRkrabTTtgikzEi09X/6//PmVrt25K3Hau1SinfO523bEaW7y2v3Iec3iLj9dC/yMRPJ2P12yyE+toft41VSSVUWtaomyhfGvqVWUz0Fm7Jixt/9giqbw6UzNjFfnWIxE8/QP5Ox7y8frnn1Ju983N3lLtFXHejIlqvBKzNX5cV57rCfD2tWlTPtYT8Yuo+ekLtt5r3n2sZ4Mm+8bLpmjxsJ4DPQf0JvFfhF474RKnCE4G3Rxl98miLNR9+xL2sQON+rv7uMZevuy9JzIEE8U6DmRBuB3W/UuYCMjOQ4cTNLbl6X7eIaVKwJs3jLCA49EbaLu3JWwn2E6g3PiNZ1irEna+ftMVAi1jsEKbbBpY4P9u9z+vLjLX5EhlrfTVZsaS8owNHG2rbl+cZff7iPm+t6+rP3bec+ho2lbANq2I85IJE9TWNcnFPTY5R7rydiTy/6DKfbsS9rfZjJoCntpCHkYieTZuy9R8rxINM/mLSNEonoAG4n+wYdrbTc6CAZrcdOms1PgnE1Uas9oLG/Poc1Nuj//4p7B01aH5XOg+W5v8xGJnn6twaGjaXv8xRNa8jCaP8N84XRTkNEcOutsrlnc5eexnXF7/Jr3MOha4Kf7eKZEeH/w4Yh97b79Ce6+Z2IpD8YbGR9F79CdYPS9LGcco60Cw41eu2EN83JOUJvvGyaVKoqHT+6K0zavjvvvH6K3N8XgYIa+U1lO9mb47UMjjIzk2LotRjDoIZnU9z21W0+ERuIxK4vFXX4i0byt/jWTdqVOZSZkc18lnG2Tg1PqNN/O4wZmIBoJ0UiCRqVupGFDY/N7w7oQzU1eorHiYP7+nf2MRPL2QHI+68ldRc2CocdIJG/T+bGdcRpCHrZui9naikSyOMANAzbf4UYvnR11hBu9bN4yooWzkxm7T65eFbL7orlnySK//bt8hVpL6O2tzRWoi+mH0T6YsfPYjhhLlgTs89t2xOk5qcdlU9hrM7X9B1NEY/p6OF0Abm7y0n08QzJZsJmbETabwlpjk0wWiETztgnBKeg2hb0cOpq2y3rw4Qjdx0u1R4lkwX7m/gMp+9zWbTF2PBHjWI9eefYP5Og+lrCvjSdy+PwTExrHs4FGgJhSap+IjOs6PVNw2pMMwzK6dvP//ocidC30E270Ek8UuOvuITo7/SSTBZ7cFWdwKIfPJ/T1Z4kn8ygFmTwcPJQkUA+JBMxr9bFvf4JMJo/P6+GZg0kuXBGkvU03W89JvULdfzBFZ0cdvX1Z9u5LcOnGRsBvT87mPBRXpdFYnki0uEKCsVW5E1UH1yoMvSJRr81YNm8ZoW2ej86OOnuFaAZfIlmga4GfhDWIorE88USBzo469h9M0RDy0D+Qo73Nx5pVQX78swFuvbmFrgV+u/zVq0Ls3JWwGcDKFQG7rMYG3YbbdmhGqbURGW68toljPRku3dBANJZnySI/Wx+N8oLntfDYjhh72ny2XTcayzMwmGP741Fe9+cdRGN59h9IsfKCAP0DOQ4dTnH1FWEOHU1z4GCSnnl1pNMFmpt99JzIEAiYQVochkPDVXNAceFiwqg09xzryZBKFfjWD/q45aYWADJZxdBQzhZgN21sYPOWEXuR0TZP9+WVKwL0nMxw+EiKl/zxPHpOZuy5ef/BFD0nMkSjOQ4eTJLaEKZrgZ94osDWbTGWLNLj/sjRFG3zfKxcEdDMe2fcXpQ8tjNO18KiVkmPmxRrVweJRPM8/niEq69useeUZw4muXRDg73wGRjQ32tWBdm8ZYRYEpt5FwoQiUyM3Y3HZu8F1ovIL4Byg/aswrma6Dmp1bGbt4zQFPay+b5hVl4QoOeEtnFu2thAOl1gy5ZBnt6X4JkDWtpvCnvp7dMNmbH4UwFIpCGbhcOHE8TiOTwieLzC4q56ek6k6R/IEU8U6B/I2QTp7cvSENLNGW7UnWTzlhFAS1a9fVmisbytElmzKsjiLr+tHjHvNJqqw2ljmKsw77NmVVCvFEeKjMisSLftiGthxGJ6oaBuO8OQFnf56TmRYf+BFMmkpsGxngzNzT72H0yxdVuMcKPWACSSBUJBD8vPD5BIFti5K8HiLq2+icV1+yasMlauCNC10M/9D0X4wY/7icbyPLU7QTxRIJvVsdSZrCLc6LVVuU/tTtDfr+u5uMvP/gMpAgEPj+2IEQp6aG728cgforYaKxrN0dzso78/Q++zGZ7elyCVKvCrewfpOaHLOdlXe6u9vlM1Izu7mALGMgdVMnmYe4x2JBopCnVt8+o4fDRFb1+W3r4sDzwS5el9Wkg1jA/0nNw/kCOXLdjzczSWtxcTl25o4JlnEiRSedJpfc199w9z1aZG1qwKkkwWOHwkwcBgrsS+afsOLPTz24dG7AVJf3+G7mMJmsJaCzUcL/DotoitpTLCatcCP0sW+cnkS9W6XopzbDoHqQl2+fEY6HVKqRcrpV6ilPqfiRU5MzCSxeIuP2tWBVm5IsDa1UG7E/QP5AgEPASDHr56Ry/NzT7Wrm3E5xP+6Jb5DA6meeZAnDovVEoHnM5BJKFIZWE4XuDUcI6Htw5z8FCchx4e4d77hujuTrH/QIpDh/WK6MGHI8QTBX7y8wHb5vWTn2tdumGuBka1u/9g6jRHGaBEDT1WG8wVW2nPyQz7D6Y4dDTNXXdrx6LmZh8Dg3pwxhN6pdnZUcfuvUk6O/22pPrYjhjJZIH1a0MARKP6nrWrg4SCHprCXh7dFqHnRIb+/gyHjqZ54JEoy5fW0xDycOhwilDQw9BQjm074rTN83HgYFFlOjSUY/N9w3R21BEIeFi+LKBVsp2aWS9bqlVW/jrhsZ1xVq4IkEzqleSSJQEKeWWrYPv7M4TDPhLJAs8cTHKiVzP7kaEsh4+k2P54lHDYx/HjSQ53p9j6h2FODec4fHRiTguzgcVd9bNdhYqoFCLl4nSMJXQ7fQMMjGPNocMpep/NUMgr4okC4UYvA4NZFnb6GRjM0RDy8OSuOE1hrxYMB3K24HvvlmGGhnIkUgXbtrn/gO7jhvmmMgVSWdj5ZIT+gRzZTMF21Pv970dIZuCp3XEe2xFj67YYh4+mbJXu3n0Jwo1eW/uolF70QNHfJdzksxcoi7vqbQZuEG702qtsr9VE23bEqR9PL+vAeJe+SEQuBGIASqnXTrzo6sNpxzKdYs++JF0L9Mph5QXa4Wf5+XrCCwU97N2X4OJ1DTy5K04up+jpSXHkSHJKnnLpnP7EklnqPHBqIEsoqBnwoSMpkvEcS5cFicYUBw8mOXwkRUeH37YbDA3lGBjMcvG6BgYGc7Z6ArDVkk41tHlnY1+Yrjis6cZIJG+r0oeGcqTTBVsN2t+fsdU+j/whSn29h95nNdPq7c0wNKwH6pJFfltAyWQVx3rSdC30s3dfgoaQh1PDutwbrm3mtw+NcOnGRr7+zROsWtlAb1+WWFxPEkaFGk9ZdphuLU2HG738x7dO4vEInQvq+fb3n6V1Xh09PUn8Pg8jIzm27Yzxmld38LVv9NLbl8HngTUXNXBqOEciWeDJp2IMj+TIKVi8sJ6R4QyRhGJkKMtgNI8XEIE/bBtm4cIgmWNJwuE6WrzCczY0jtZ8s45aZe5mYnYxPkYLEwHYfN8wV1+hw26c13QfTxNu9JLO6usOHU2z/5k4LS1+li8LwCI/sVieOp/w9L4Et9zUYo+n52xo5MDBJJk89JzI0Nrq4/DRFOl0gc5OP729GXuVd8GKBpYvrad7WYADB5MkkwWuvLKZe/5vkM6OOpYsCdDe5uOI1Q/DjV6WLAnQ3Z1i564EyWSBPJDP6YWHsY329enr9x/Uzw03etl/QP8GrYHcuStB10I/fr9mnolkgfQkrCjjMdBLgBVAn1JqaKKFisiLrPvqlVKfLf8/8eqVwsk8zXfXAm1rvPHaJnpOavfl3r4siWSBx3fGmG+FpzQ2eunvT+H16kksny4mOvQJ5MbJWOkB/HWQz0Nzk49gyEs6XcDrFS5aFaK11ceTu+I0NmhD+qte2c6DD0dYtjRg2/l6gx5WXqBXNw0hj+1gcuhomlBQ/zcqirHsoc741OnAdNDPqINA2yuWnx8gFNR25b37Evj9HoaGcyxbGqC1xUcqVeDWm1u44zvP0hDysOWBEYYGdRkXr2vg0OEUv31ohBfe0ko8UWDxwnpicR3P296u1bRt8+u54dpm7r5Xd902ywYZDHoI1Ol2DIf1KjIU9HDpxkZ6TmToWujnd1sjXLgiyE3XN/PU7gT19R42bWgkkSywfFmAjvY62ubV0bXQz+CQtsW+8uXz6R/I2Y5IPSd8dC2sJxjUkvqFK4K22rqz08+FK7Sr/chIzlYLX7K26KF8JqgmDYOB2vTCNX4FZyOqSb9tO+Ilnu/O+cPYB1/9J222o48R5i9cEeTw0RRej3DocEr7kGQg3Zfh6iub2PpolHxekUwVOH9pwB5n8USMujqxtTxGY5RKFaiv99De5iMU9PDwo9rj/JUvbQNg9aoQiWSB9jZfiXAUCmofhWVLA/T2ZensqGNoKMdwJM9rrLj9e/5PX3voaJrlS7XGZN68epqbvKxcEWBgMEdT2MvLXtjK5i0jBKyus3xpPb19WQL1PhpCHjo76njetS385qHhCbXteCPjy8AHgMtF5I4JlahRnsOx/P+EUa5eKA/yNdfsP5gi3Oi1Q1SMo09vX5Z8XjEykiOTgUJB2zihmCV4LOZZ74NQvcVofVBfD3V+D0NDupCOdm0TeHqvtmdlMgWCAQ/dxzPU1QmpVMG2b3V21LH/QMp2iDHeuu1tPjZtbLAN7M64Jmc8lLFXOO2m04Sq0c/AqGq7FvppbfHZK0cAv99D36ksF60O0TbPR329h66FfrZui2nJMeyjpclLuEkLIk/uitPZ6WfJonq6jxe9Y7NZRX+/tsX0nEgzf56PaCxPXZ3QNq842Q4N5fB6i85byaSm0ZO7tGPCwGCO+fN8BIMentqdIBbPs/KCAMNWKEtnp7b1DAxqQa2zo46uBVrT8PjOmO38cPG6Bo4c1erjkZEcwaCHTEZL4ENDOZ621PzLzw/YE5y/TqgSqkbDuurVycXEUTX6dXbUlcyjvX1ZW/09EskTi2XZtiNeElLStUDbGUeGsiRTin37EwwN6TGsgO5urU7tG8jS15fiyadiBAIeBgfTdJ6nx0fcUlzEEwWi0RzLlwU4fFSbvcycCMW4zEOHU/T2agdA4yV/8KD2YensqONpa85Y3OWntVWPrwceiZbYMo3PBEB0pCi0O6MvrtrUSCpb9MAfGMzR0eG3VcKXbmjgFS+ZP6G2HY+B5oDjSql7gcl4N5TncCz/X4KxcjhOxCPV2M5MQ668IEA8UWBhp590usCCTj+JRJZQwIPXC3Ue7Sw0EaRzmuEq9OozmYR4TBMmHs/irxPOt2xk4UYvx09kaAh5OHI0ZU+GXQuL4QpdC/Wkfehwyo4bNCvPnpMZm6mY7B2GWfaczNjvVy48TIMdtGr0g2J9DZPKZAqcGsyx5YEROubXkcloZx/jIR2N5myG6/UKgYCHTFaRyykOHU2TSBZ44MFh6us99uot3Ojl0o2NtLdrr9m2eXW0t2vHnq6FWiI1jgQrLwiwdEmIkUieroV+ntodZ+UFAfx1wt592jHohmubeXpvgkymYN/fMb+ORLJAd3fKXjGGgrpuAOGwj+de1URDyEPPCc3YL93YSEPIw7XXNDM0lCMcLs59Czt1X2gIeewJzblSP0NUjYYnazSMxTlxnoWYFP1g/HFo5olDh1OsWRW0nWYSaexV3eIuvz32GkIeUpk82QJcvL6R3md1PzDrjWgkh09g6ZIQHq+uVp3Xw7GetK1pAUimCvitsBCfTxgYzNplgZ43uxb4yWQKLD8/UEJXn9/D9+/sp7cvy/lLA/a82N7m4/GdOkTGmemoIeSx59BsvmBrKldeUAy9iUTzNIWKzXjrTc20tvhsM1lT2GsvwMbDeAz0CPA8EfkhMDyhEjXKczia/6eUUqdpmKuRC9fpTNQ/oG1SnZ1+FnT6yWYV4bAfj0c32lQzhSQz4PVCLKHI5cDrEU4NatvbkaMJsjnFxksaCYd9DA3nuHRjIwODWe1JdkIzwIaQ9tI0DjG2gd0ybpuObQhv1NRdC/yjplObBltoVek3EsmzdrVWB2Wzit6+LD6fXp0PDefswfX0voQOK0oU2PFEjLZ5Pnw+4ZmDSS5YEbQZYMf8OsJNPo71pOns9NMQ8hCN5a24Xi2ZptMFRkZytsAC2iGhvl5rB45267ivnhOaWe4/kCKTVVy6sZFMVhGN5Vm2NIDf7yGVKrD/QIpnDmom197ux18ntirZXyf0nNShL+Z8a6segE/uihNPFGyJemAwS2+vVhMbj9z+gRxdC6xQpuGqMauq0bCQn/KOXNOKs9wGOin6weg0NN6qJuzP+AOUC98mhAuKcZpGW5dOF+g8rziW/H4PXV311NVpBrmgU9tD/QEvA/0Z6uuLrCWXU9TXa81NKlWgscFLa0uRQUVjee5/KILf72FgMEe40Wurf2OxLEuWBGgIeeyxbITNhZ1ae+f0JDa+FgALFwZtR0wTz2pCVRoa60rswrfe3DKleXRUNisi7weeAm4CvEqpCadIqZDDsapwpugrtwX2nMzYOvDHdmoiJFMFolF9fSKtpYapDj0RCFhOifmCXhXF4nkaG+tsY3pT2IvPJ9x97xAXrgiydnWQR/4QtZMwLFmiV8gDgzk75ZRxJnLGtTY3BUvsFU7nImdbVHIQOBNMB/0OHU2Ts3Tl81p9ZLOKC9dqFWdnp5/Hd8ZoCmvpL5Es0NqiPVmTiTxLFtXz+M4Y0Yj28quv93DRqlBJhpzBwbQl3eq5pb7eQzpd4LEd2h6TSBYIBDw2E05bE0PXQr9t3wlYqveuhfVsfTTKVZeH6Q96eHR7lPVrGyjklb3yXLIkwKHDKTIZ7dQUT+hnhcM+0ukCa1fr+M+L1zXomLgTGVZeEGD/Abh0QwOHjqYJBj20t/vtMgHa5lfH47WaNByJVJyvZx09JzIltr2zCdWk3zZrpbZkSYDrrw6z52mdpcfERQN2mF240cuRoyn27POXjK/mZh87nojZ/zOZAn39WbxeiMfzzJ/no7HRS51PL1KWLQ3QcyJNAexx192dIpdTNDcXHYJAC0IrLwiw9dEot97cwv6DKS5Y0cATu+P4vMKGdToJyf4DKTZtbGDNqiAPPBIlFs+ftqgwNlCfaMZt5ssli/wlc+TGS0qd9pxZjZqbvGzddnoO30oYawW6CPgkcDvwb7OZC7eSitLYD5041pOx9dgAra0+Ghu89Pam8Pu8JCyv98kyT6dbcz5vMWEP1Nd5SSbydpzg0e4ECy372JJF9Vy4Ikg6XeDXv9HqRiOVtbfpQPq1q4McOpq2VRbG1hmJ5u0ViRMmzV15TOhoeXprCclkAZ9POH48ybFuPXiMTeP/7hsgbknF2ayipcnLqYEsyWSBeCLHU7uigHZL7zuVJZ0ukEoVuP/+IXtlV+f1sLDTz5GjKfr7dZKCp3Zp+8jJ3gwtTV465tcRDHroOZG27d579yXsOMff/14ndmibp/vNlgdGeHynjisNBj3ksgWbQff2ZjjRm8Hv99gmBLOSXr82RG9f1vK6ztku+KAZthHsnt6bIBj02GVCqa2mVlCruV2NDdnF+Ni1J8bypfV8/85+soWiCcn0xcd2xHhqd4JoLG8n8zA2T9CObj5fUe3Z3u6nsdFLKFTHZc8JEw5rx6Ch4RwXrdbatXprCjOC85IlARqtEBNzDeiMQWtWBXnlS9vYuq3IpAEWLdJMzNg9nflzjfPRSCRPS4OHjrY6li+tpynspaXZx3M2NNpzo5MZGo2Yk6E6s8ONRPITzkk9lqI3B/wrei/QWfUiGC8Ru3NVZjJVRGN5hoZydkhLfb2H1lYfm399inR6fK9bJ9I5zUTr6vTKpSXkIZ0tkCrk8fs8HD6SIFjv5YIVDTQ3++i0bFtDQzn7dyjosb0Gd+9N2pluli+t12kGt4xw1abGkpAVE6LjXGGaFWmlkJ5aDWtpbvLSNk936Md3ajtIa4uPE7v1YLns0ma2PzbCyV5Yurgev9/D/LY67XhT78VjeTrveCLG1Vc28ej2qA5Haa2jY75u03iywKEjKVpbtFdtMlmgbX498+f5yFhq4xuubebJXXEuWBHk4CE9cbzkj+fZsWdt7Xo1GovnaZtXx+KuetLpgm2jDTZox6IDlir3/KXaKWJoQCfsAGzbTmurj0BAM+sXPK+FI0dTtmrJeIyHNjbatnsjAWczNcqtahDlqwgXoyOZ0WFir/mzdrbtjNlCY3OzZgGnBrK0tmjvV8MoAw7v6/IMWTueiLF8WYBYLG+bNsxYHBoqjWsOBnQYWvfxDB3z62ib5ysRGkNBT8lmCmtWBTl0WN/f2lLMpWvSdY5E9Lxpjjc3eQk317He8mBvbvLS0eEvsWM6oxqM34wTzkWIyZg2EYy1Aj0FvAP4BvAf1qcm4GQazoYwK9KmsJdwow5t2bSxwVbnAWy4uIlQUAjVY7syV4Kz+QQIN/rI52H+fD/+gJfOzgChoI8LLwzh9WpjdySat5PRb1gXsu1goaDHttMdOprmqk2NtrOIkXyu2tRIz8lSFe2aVUUdfnnu3NGYZq2uQleu0HFbwYCHm65vpr7ew9JlQft9V61soMFKr1df76G1xUdzsw+PV6jza0bk8wnJZIF0usAtN7cCegIIN3oJN3hptMKDQkGPHVu6elWIxgYv69c2sHdfgqsuD9Pe5mPJYu1EtHVbjKGhHENDOep8QnOzjwtWBOla6LdtrMa93tht/HVC18J6Vl4Q4JabWnjOc5pYssjP8vMDJbYdHeNax6Gj2jNx5Qrtbfujn5zisR0xBgZzRGOl2obzlxWdHWoFDbVXJQCbxi4mhltvbrHth1duCnPrzS22s09Dg5dMpkAiWeDCFUHWrAqyZJHfZhAXrQ4xr7XY3ldf2UQsnqe1xceFK4JcvE7Ps5FonhuvbSIY8CDWsqvzPJ2mb8kiP32nsiUeuIE6bM9apwPdrTe3UOfR4V7OOdHExZdvEHH5ZWGOHE3Zx667pqlkXJXvFDManBtQTARj9cB7gL3A4IRKmkGUL73HWokd68nYoQnd3SnCYR/Pv7mNJ3fFebY3hVKqJHDWaCnq6rTUBtrrLJnK0dkZIJdTtLbomKGFnbpDXLRKOw6ZGM/evixbt8XsAe70EF6+tJ6ekxk6O+pKdjkYiWh9fjmBywk5nr2zVlehgJ2EOp4o0Nrqs1d3Ky8I0H1cx2ReukEnPjD24WcOJrlyU5ieE5oZBYNFVfhFq7QaqLcvS3NrHS1NXtrb/bY92Uix69eGeGp3wrZVNoQ8ZC0VxFWbGrn/oQitrT5aW3222ippTSSgB/jKFToRxoZ1+pntVk7coSHtqNQ/kLNDXJJWLBsEHDFtPnvnFhNv2jbPZ8cCGzo7vXRrBQ0NtRlvWZ7dy0VlNAQgnipdbBw6rFPqmRWo8R43uWFHIlqw83p06J8WSusI1EHOMV8aL/OuBTpzmHGkM8e37YzR2uqzc+NeuCJo581tCOgkCkbLtmljg52hLRLN4/djrzRN3Y2fBJTGs4aCHl54S6udeD4S1SGBZi4onxerFQo41midDwSBrqo8aZow2krMMCXT4PtJcdWmRjbfN0wo6KGlyUsq5ae/P01HWx19A1r6KSituxeBjrY6cpkCDWE90Z0ayHLhiiDr14bY+miU9nYf69eGrFAJLWUZqceZF9eolSs5AI33uzyhQnki/elMqFBNmPqb1XhDqJh82mQl6lrotxO0G+Ejl1M2IwS4/uqwnajAuQKZP08zqtXzfHZyiuXnB1i5IsDWbTGuviJs23tMqi9TJ+PiHk8UaG8L2Ey2a4G/ZFefgcGsVr1agd1DQzlaW7U66qpNjezclbAZq1P6NcKSeV5TWAd3V5KITdB5LcEIErUGd5PvycHJfJqbfSzu8pfshLJmVZA9+5L2uIpE82y4uJFnnknQ2VFHQ8jD44978ASEUNDDBVa/MELgpo0NbNsRt/v3ocMpfILtBAR6a7yQ9Zk3TzvMOee7aEwLkz0nMzQ06A06jKNY+Y5KzrmvIeQpeT/ze7TsbdVaaIwlwv0lcDPaC/dG4NqqPHGaUCke0qkjNxLQ1VeEdTLjjY1cflmYxYuDFPJKZxryQlODh5YWP42NdSQSWeqDXqIjWTrP83PLza10dvp5ardWBRqHj66FetXTEPLYHSXcqNXIpoM6Va/OJPLlW3lVIvhonWCuME9Dm+uvDrNyRcDOq7l2tQ47uv5q3ZaGaS1Z5LdX7Qs7/axfG+LqK8J2Anhj4O85kbHVou3tflvqbQp79UrfUhWtXa1VxUYTEY3laXHYlI3gY3aAsXdnsWJvd+9NsrjLzwuep3d72bSxgU0bG+ha6Of6q8O0zfPR3OS1mWd7m4+ekxl7h4lorLhfqaHZzl0Jew9RJ5xbRdUKzCql1lCr5opaQ0dHsU81N3nxoIVPk2ITsFeBRigx8ZDhsI+ly4Ls3psknigQbPCxYkXQFoDNeAM9lszuST0n9QYPKy8MleQs37AuRGdHHStXBPD5dCiYM6mDsz7XXtNckm2qPBOdE8bcNdpCZLow6shQSr1GRL6AzkSkgE9Ne23OAJUay8lgNCMqzTP71O4EV24K89uHRpjvFea3aWIlUwXrGj8XrAjaYQZm5WTSP73shdoOd6wnw/0PRQhYxnLTCczOAE444zvL613L6tczgbPDNzd57UFh6LBnX5Ibr22ymYlz9WZydEZjeS5e12Ab+MONXtsNv7nJy5JFWo1qVv7RWJ7WVp+9+4PxlDWStln1GmGmuclrhz+ZwG5T73iiUFJ/5+A91pOx1UThRr3LjkmdtmdfsmSl6aS5UQWXl+cMaakVmFCrWkP5hOmiMs5fGrB3VDnWk7HnOTMPnb8kYJsRnP25uUmnK41E87zS2sD+yV363nCjl1tvauZYT4at22LcelOz/TynbTKVKh07To3OLTe10D+QK2GSTrOWcbA0mIzD5Ez1i/FEy4XAOrQfTcf0V2fqmGgspCFIJJrn6ivC9PZlufwyrRYMWjt2tLb6aG/zsf9Ayl5VmGw3Zjsys8EzaKIbz0pnMvhItDROqXyyLK9zteM5awHzwqXMw7kKMyro5qagbQNxJs83MCFLZiVr4mSdAko8UeB6Ky8mFJmwWQEahmjg9NBzqlbNIHcyPaNCMoPfnKsUg+g8blTAzjLNNZV+Q23md50rmg4XlXHjtU08va+4YbRxwDM4f2nAHl/ltF6/NsTy8wP2mOxaWM/ISM6xy4nfdoQsXww0NwVPM5c4GeSefckSJumcH0ci2gwzmb5X7mzkfO50YTwG+lfAq4E88LcTKdDK0/ghq+zvKaX2WcfvBHYCP1dKPT3VCo+GyTaUU0oyDW9WkWZ10D+QK1mNHOvJ2I4+lVeQxfR7lVSvp18/uk10tlBt+l10UcOo7zz6wCu191ba1q2oatL0MCtPp1OZucY5KE3ZY9nPyj2dnfV11rO87pWkZXOdM/RorD5QDWZVbRrWqmBXq4z9TGP+qk2/5iYvf/nqdvt3uVbEOP5UEurMJvamrdeuDtq/K/WL0ZhYed+fiPrdaISc7zHee0702mphTH2RUmpAKfU1pdTXlVJjeuOKyNstAm8GsmiV7/+zzhmHJD8QrUrNqwCjmwdtk7rx2qYSddWGdaESQ7RzEjT3G1SapEdDLdpupot+Jg63EkZTZZfDJJAYq5zyeNlytXE54yrXBIxXh/Lzk/GGnozjwpnscTldNKxF5gm1OY4A2tumpkWYzjnUaUoq74/lZiYnvVeuKM1Na9S85eWM1sedK06g5N6uBf7ThCBnObUqIJVAKVXVD7AReBXQAHzEOtaA9uptBv6pwj1vAbYD25csWaJmA8MjuZJvpZTqPp62jzmPj1fGeMdmGDVDv8m0z1Ta0tBrujATtKzwjHNmDJ4tuPOnp8oPTTv91BnQcLx+XT7/VWucVZpzJ1qnGcaotBKlKqfkEZFvU0y8b5jtG8ZjyJb64dPoTbh/DKwFHgI+CpwA7lZKPT7a/Zdddpnavn37eI+ZNlRaWdSqCmuCmJRGaa7Qr1ZoMgP1mLRGcK7Q8GxFhfCyGR2DMLM0HGsM1Mo4PUOMvgPOaAzUvkDkPOCLwBal1DerXLHT4A7eqmNG0zC69Ks6ZjyNpkvDqsOl4dzGqPQb0wYqIi9H58N930wwz7mEWrW/nEtwaeCiFnGu98tz6f3HUuF+H2gBvoL2wkUp9Ztpr5BIP3B0up9TAfPR+X9nG9Wuxyml1K1VLG9MVKBfrbRrOeZKvWaUfuDSsAqoNRrOlXaqJTjrNir9xgpjuc/6XlDNWo0HpdTUdtQ+Q4jIdqXUZbPx7Fqsx1RRTr9afR+3XqPDpeGZoRbq5aRhLdSnEmq1XjDxuo3FQJc5ftfmlvQuXLhw4cLFLGEsBvod6zuE9gh7ctpr48KFCxcuXMwRjJUL96iIXI7OhfsJpdS2mavWrOCO2a6AhVqpR7VQq+/j1mviqMU6gVuviaLW6mNQq/WCCdZtLCeijwPr0Qw0CaCUOlSt2rlw4cKFCxdzGWOpcHPADuAV6DgYBXxsJirlwoULFy5c1DrGTaTgwoULFy5cuDgdtblT7gxDRF4ErADqlVKfneFn+4FPAA8DlwEB4J+BPwPqgONKqf+eyTqdCcrbcjbbdpx6vR5YDnQrpf5jtupl1c30gQeVUr+slTYzEJENwAeVUq+c7brA7I7X8VBOy9muD9Qe/eDsoWHt7d47O7hBKfVloNXKQzmT6ASeAMLA3Wjv5xcBy5RSXwSumOH6nCnK23I223asel0MDKB3vZhtmD5gMOttZnYGsXYHaQSOzEY9RsGst88YKKflrKDG6QdnCQ1rreKzhZz1PeM5K5VS3SLSAywGChXqNNdQ3paz1rZlKK/HlyxP88+LiFcpNWv5xxx9oNE6NOttppS6Hbjd/BeRl81WXSpg1ttnNFSg5WzVo5bpB2cJDV0GqvGoiLwbnbJpthiXQm9hlAa+BMwXkb8BHp2l+kwVpi2TwAuojbatVK+VIiLA0GwyzzJ4ReSPqZ02q1W47TP3cVbQ0HUicuHChQsXLqYA1wbqwoULFy5cTAEuA3XhwoULFy6mAJeBunDhwoULF1OAy0BdnPUQkWYRaZjterhwcbZDRBbOdh1mEi4DHQMicoOIfFhEvCLyYxF5q4hsEZG/F5FPOK77gYi8RURebP0XK/7KxQxARD4iIj8UkX8XkbtE5KKyS94FLBCRfxQRb9m9y0QkLiJN1v93WPT8IxGpyb0Kz0aIyEoR+ZGI/IcVWvShCdxzg4h0W97UiMhnnePSxZlBRL4jIv9p0eWfrGM/GOP6pcA7Khy/TURutn4vq0Qj5zXW/zeISNcU632DiLzJ+v0XIjJtKWjdMJYKEJHnAm9DZwW6ErgXWAPsAjqAXwOvLrvtTuCLwP8C1wO/man6ugDgw0qpAyJyFfAiy0V+AfD/Ac8F4sBKtHzzVeueQeDb6FChlwA/QMfjApwHZEXkv9B0vwh4h1JqaKZe6BzDTcCPlVJ3ichLgNeJSAs6lnEA6AK+DPwNsA84CTwFHASuEZGHrWsOi8jzgT+lSP/3AJ8BPgm8TimVmMkXm0sQkY+gk7rUA37gtUqpnIj8r3XJJhH5IpAAPgp8DvCiEzWcBK4XkRal1PA4z7kNuAYdVvaAdfivROQv0MlklgBBEfkk0Ao0AG8Cvmnd8yDwB+DvreffBUQoztubrbngAqZxoeiuQCvjDcBtaGIBPAY8oZT6ODpDRaT8BqVUBEiLSBh4JfCjmamqCwv/LCJb0KvNR9DM8BlgEzpN4l3WdWuBE0qpvwHmA/Os668SkSXA0bJyfUqpj6EFovXT/A7nMv4DWCIi/wpsADJoIfXLaJqaueoBpdQ/Apdb/38BvBgtJP3OOnaMUvq/z7ruKy7znBD+Hb0LVz3wTRHZDBy2zu1USr0baEYLKYuAGJoeD6PpM1xWXnmspPn/v2gG+ELr/x3Am62PwT3WZw2aoXeimefvgLcCKbQgfB1l87ZSaivw3Um++6TgMtDKMBmBRguwH0GvUBCRerQEBJpp/iWQV0pFp7WGLsrx/6EFlya0pNqG3gTe7CRkUCi7z2OdjwCvB35Sdt5MuFnc8TKdeDPwXaXUX6Pb/Dz0hKkcHyjSw4zNKHp18nzg/6xjf0Up/VuAfmDptL7B2QNBr+JywBuVUrcC7SKyDM2wsM55gfuUUu9DC6ijJRUYxpov0VqCYet3QinlHFcp9PhMW/8b0Ax2ADhhHfsH6/wnreffAXwEvRodb96uOlwVbmV8E/gWo7SPUmpYRIZE5Pvowfkv1vGHRORzwN/NVEVdFKGUGhK9j+3DaJVtK7ANOISWVgGeBt4iIp9Hq5xOWcfvAv5RKXXKMqm5mFk8BHxPRCLoiXAY+DHwBTTzG+/eqymmh+tFq4Rbge3oxOAvBm4XkXuVUuOVd67j/ejVZxr4rogU0EzuGHCpiLwfPW5+DHxHRNahV6hDwLUislApdcJR3n3oleytaAH3bcAtFZ77euCP0XPv89EM1UtxpRu26taHHte/Aj5lXfdNSuftGTGhuZmIXLhwUZMQkVXA36IZ4/1Kqbtmt0ZnPywb6A+UUgdmuy5zAS4DdeHChQsXVYOIvAPtW2DwbaVUz2zVZzrhMlAXLly4cOFiCnCdIly4cOHChYspwGWgLly4cOHCxRTgMlAXLly4cOFiCnAZqAsXLly4cDEFuAzUhQsXLly4mAJcBurChQsXLlxMAS4DdeHChQsXLqYAN5XfGBARDzrXYhSoV0q9w3FuKfBzYCc6JdydwLut09cBb0Hnffx/6NRi9yulpjWxsYtSjEO/q9EpxaLAs0qpj4nIZ9EpzJqBtyql0iJSh86x+j6l1O9n/CXOcYxFQ+v8BcB/K6U2Wv/fCyxD0/Dd6FSbH0enntuulPrOTNXdxZTo91V03ulF6DF3yNpW8HNKqRtntvbjw2Wg2Omr1qDzL/7UOtyHzuF4SCn1KRH5qIhcrZR6xDp/HZoxAjyilHoCuE1ENqF3+7hPRL4J9KDb2Z18pwlTpF8r8FdKqaiI/FpElgPNSqm3isjrgVcAPwQ+hs4B6mIaMRUaikgneuOAuPU/AFynlHqxiNyITlD/a3T+1ONWud+ZsZc6h1Al+jUC9yqlfikirwCeb21TdwszmCB+MnAZaBHfAp5FJywGncS4k+LkeRxw7rb+KLpzPAvcJyKbrZ0F/gF4raPMbWhp+BvAS6fzBc5xTIp+Sqm7ReMDwH9a1x53XHuJiLwd+C1w1bTX3gVMnoa9wPus7bZAp4/rc16rlNpubcx8N5qWLqYPZ0Q/pVQM+KW1Kn01eieYKLBLRK6dmVeYHFwGWsSwtUekDWtjbUO4RcBux+mNwFalVEFEYoBHRC4FdiulktY11wBb0VtluVt8TC8mRT9r39YvAT9USm0RkcVolbu59gR6f8EDwGXAxcCfTOcLuJj0GCxHH3obM3PtCRHZABxTSr1ARH4qIq3upujThjOlHyLyMvROOrfNhb1bXSeisfEwsExEvgy0KKUeEZE3isjl6M16Pyci/wbco5RKo9W62x3396O32LkD+PQM193F2PT7MrASeL2IfFcpdQwYtK69Dm2XuVkp9Tbgl8BnZ+slznGMRcMSKKVywP0i8jW0D8K/ofcU/bp1/yGXec44Jkw/a+X5H2jzyh0iUvMaOzeZvAsXLly4cDEFuCtQFy5cuHDhYgqoaRuoiFwJ/B3a23WrUupHlmerD1DA7cAmtPNAk1LqPSLybuD7SqlTZWW9Ca2aywEB4B3ABuBKpdRnKjz7O8Aw8EHg34EBYEQp9WHHNdcDn0TbyZ5CqwW/AiSsOr1VKZW17GsPKaWWlT3jtLAJ63g9WhX8GJBVSr3Zeq+FaDvCp9F21Q9Z34PA74CvAjdbxvlZR63Tz7quxEVeRD6Opsky4F1ABzrcJYUOd/m0497XWHUKAR9VSu23jgesdxsAFgNvV0oNisitwJuUUq8UkTarXifQqv6volX9Oyq9z2yh1mkoIhejvWwTwC+VUv9TgYZvBs5Hj7P5SqlrHfeXhL0opfod55rRjjGfU0r93vIa/QnwSqVUr4j8E7AA7SH6ebTt7s1KqSsm2LwzglqnoXVd+TgsmRuBK3HMtUqpf3HcOxkavhx4MdrB6UvWO7/Guvz5wJ8D7wO+q5S6c+yWrXEGio6h/KRS6gkRuVNEfo525tgGFNAG6RBwBbBbRNYD/RWIvh64XCn1Wuv/1Wj7lzl/MXrne4P/sb4/A7wKbeP8oYh8W0S6HJvDXoeOAfUAjwAvs36H0BNhVkRCwAeAw2V1Gi1sAuBydNxUnmL4y5+gJ9tFaE+3DwKHgAuBXyil7hcRp/21FlDT9BORdZzuIv+XwENoxjkI/DFwNdqT8PGy93udUupmETkfPYm/xTo+H/iWUuohEfl7YJOIZIAVQKN1zXXA75RSXxaRv0U7Kt2OnihqCTVNQ+A9wN8rpU6IyK+t+0poqJT6qPWMbzqfIZXDXj7lqMMH0IwZEfGhaRxxnL9RKXWDNUl/VSn1WhF55YRadWZR0zQsH4ejzI0rKJ1rzTMnTEMLCs2QNwAvtxj5Fst5abtS6gFrPE8Ita7C/SLwThH5PHriaQXeq3Qw7mbgb5VS91uSz3fRkkRORD4r2nXdYC067AQApdQjSqlHHecFLUyYj7NdnG7YJ9ASp8Hd6Dimt6CloxXAPqt+l4nICuCf0YHc6bJ3Kw+bcIbIHAFeq5R6I/ACawX7SeDP0HGJbwUuAO5Bd5gSaa6GUNP0U0rtUkp9Ei1NIyJe4C3WBPEj9KB/CrgeLcDcVvZ+Weu73D3/uMU8NwGXAFus9/w3x733oJ0rvgJcBJxXqQFrADVNQ6BdKXXCFDsKDRGRW4AnLGcxg9PCXpwvrpT6B+Cg9TunlHqn43qAr4nIt4G/QjOgWkVN07B8HFJ5biyfaw0mTEPr/11ogfg/gN+ALRy9Du10NinUOgNdAnxCKfUeNHGi6GBd0KoAv+PaN6ODpF+AXrL/uePck8DzzB8Reb6I2OeVUk8opW5zfP7XcW83etUHOszhhOPcVUBBKZVCT6a9FCXUU0ADWrXwIWCNiPyd495jnB42YbAarY4AGEJL0m9XSim0FNZknqV07GmU2kSt068cG4AXWb9NO38A7WyXpjjADQrWdzn9EJG3Ai8B3qC0d2g55gO/Ukr9LVqjcHSMes0map2GPSJiJmOhMg1BhyR9o+zdTgt7qfD+Y6FBKfV6tOaolr17a52G5ag0N5bPtQaToqGI3AQ8CFyKHtug4/N/bs2vk0Ktq3CPA58XkWH0C0ZEZLVYLtHopAWIyCJgnlJqj4gcA/4a+IEpxDq+VUR+hmZwfoq6+/HwU7RL9TXAAUtV9AHg+2gV6tdFJIFWv90LfENENgJxpdSTaH07ohMtfMFSD7xaKfUZETFhE03AW0TkhWjd/JPWex8HTiqlHhORbhG5Ay3p/iOaOX9aRCLAj6fQtjOBmqafUqq77Nongfki8q9omvw1OlzpWyLSh6Y5IvJ1pdRbge+JyDesa99rSetvBB5AawXuB74jIl9TxQxIBn3AP4u2yeSVUg+LyA0TeJ+ZRk3TEPgC8C+WivwrVKYhaNunUccGgU8rpd4lIibspRV4m+hY7kuVUndMoF71IvItdOKA903g+tlCTdOwfBwqpY6Vz43AzTjm2jOg4fnoVXbS8W7XoVekk4YbxjIKxDJ+K6XeVeVyw8BLlVI/GPfiyZV7IzXmRDSbmC76WWW/XSl1e5XLDKNXSDtUDTkRzSamcQx60M4+X69yuW+iBp2IZhNzkIZLgK8zQScil4G6cOHChQsXU8CYKlwReR3aK/C3AEqpWlUVunDhwoULFzOK8ZyILgeGLMZ58wzUx4ULFy5cuJgTmIgXboflAt4yzXVx4cKFCxcu5gzGtIGKyDx0UHIB+JFSamCmKubChQsXLlzUMsZbgX4GHZqxA/jIRAsVkReJyDtFxLhHv15EPi4ibx7v3ltvvVWhs0W4n+p8Jg2XfjX1mRJcGtbUZ0pwaVgzn1ExHgNNKKX2KaUeHue6ctyglPoy0GplebgYHbCbHfs2OHXq1HiXuJh+uPSb+3BpOPfh0rDGMR4DfVp03sLvAfsmUa7JvGI2kf6SUupLwDrRqbZKICJvEZHtIrK9v7+//HRVMBLJj39RjZY72jOm69lUkX579iXLL592TGO71NQzx0HNjcFq4VhPpuR7LNQgXSaDs5qGZwP9xrOBNqOlHg+glFIPTqhQkT8BlqKzSGxDJxwWIGTlPBwVl112mdq+vdZyopdiJJKnuem0/jsjZR7rybC4yz/udQ7I+JeU3VBF+u3Zl2TNquBkq3DOokI/mDT9oLbG4HSMF5hTfWvO03A6sGdfkq4F/mnpG1XGqPQbL5Xf19AJd3NoXfCEGKhS6mdlh+6ZyH0TwWQGo/PayQ7icuI67x+vnKlMGOZ6I5WVM0kjiUVjpSvT6eh81aRf/0ClNLBTQzXfd/OWEa7a1FiV8kYieSLRvE2zseo5ngBUrfebzjE4GVSTZuXj+d4tw6My0ErPNWNoDkzYQO3QsJow/d/Q793vWFDxurlCv/FUuHuVUt9USn1XKfW9GanRGDjWkylpvMku7zdvGSn5P9r9x3oyhBtHJ9KxnkyJanIkki9RR0SieR54ZPT87uXq2T37kvax3r5syTXOspubvHQf16qPkUienpMZtu2I23X6/p21p7a5//6hSd8zGl0i0XzVVNuPPDLM90Zpr/L7K6manNds3RajKTy6oDYSqVzvSvU09JyrqPROY9FjrHPl6v9IVF9r6HG4O2WPBXO9OddzspRmhi6mjKnWycXkUD5PRmN6LOw/mOJwd8qe/8x551gpH3dO4clZZiWMNbdP5LqJYjwGuk5EfiIi37PsoLOKcsm9fJDA6A2y/2DqtGNjSTJjrfSawl7iiUJFxmewfGl9yXlTjinL2bHiiYL9uyHk4bcPjdjMwgx48/xUqsCho2mam7ysWRXk0OGU3SmeeSZRcxNwc2vd5O8ZhS5OmkBxQoVSuo8noe7ZlySeLIx6vrnJWzLQjMS8Z1/yNJoCjIzkSu4tf1bPyaLgF42Nrcn40X/1nXasllEuDDjfySn4ORmdE6OtMpyTqBk3v31IC8CHjhZ3BnSu+rsW+G1adS3wVxR8Rlv9O587npB+tjLf8QTFycDc1308Y//vOZlh/wE9Dyes8ReJalqZ386xUT7ezXFn+ZWY6lj1d/YX5/1j3TMWxmOg/4Degf2LwHsnXOo0Yizpvbzz3/9Qce/bhpCHZw6O79Biyn1sR8w+Vq5ejUTzJJIFuhb4iUTzbN0WoyHkse+/+94horE8/QO50whkmGf/QI5jPRl6TmZ4clfcZvBdC/wMR7Q6sLnJS29ftmR1c6wnzdBQzjbCb388Yl+TTBfo7Jg8w5pO9PWdLrjA6fRz/h/N8Sjc6D1NkDH3jjeQysvJFuDEicrPGYnkaQp7S6Th5iYv/QM51qwK2s8y9RwazpUIaOXah3Cjt+RYpT5sfuemHPQwOxhLWKk0WTkZIlAikBg6lo/j5iZN9/Z2Xd5DD4/Y7W3ujUT1quZYT4ZIVE/WTeGioGrKNXAKXwA7dyXs4+V0dz6n/J3L+1v5c+YSzHhyYjICjvO4QTDoscvpWuAnEPCwc1eCJ3fF7WcaWvT2ZW1G6yynkvAViZZq/XpOZkrqUk7f8rqdiSbTifEY6EeBa9A7en95yk85A2zbET9NPQpFdeZojXKsJ8OTT8XsAdQ/kGNkJDehxlrc5SeeKLBzV8JWoY5YTG0kkueRP0TZsmWQrdtitpRkVKsAy5YG6D6eYfnSepughlke68nQP5AjFPTQFPYSbvRy8FCcgcEce/Yluf+hCEODWe66e4iRSJ6VKwL84p5Bu1McPpyk99mMzTTTOdi0sQGATA4e21lbK9BUBf5ZSc051kRcPpjKj5XbqcejsZko4uPUrXyQ3X//kC24RKJ51qwK2mopI1Hv2Zfk0e1Ru56P7Yhx6Giap/fqvnTvlmF7knaudGvJrjMZjCbJOxmj0RQd68nYq0czjo0QanCsJ8PWbXrcGkF02444I5E8v/+9XoEmEll7AjbMEmDligCgJ+Jwo5eekxlbu7NnX7Kkjmbcmjpef3UY0GPfMGPnOxrBt7wvOmk4VxjnZOvpvN7MYYZmTWFviWrc0MKYRx54cJiRiKZhJKppmEwWGBrUGrv7H9ILgGM9GRpCHpqbvDbN4omCPb6c9Whu8pYIzyMRPRbNoqO5ycvuvcnTBOtyzR+U0nAq9BuPgUaAqFJqHxOIPZoOrFwRsBvLqCfNi6ZShYqSBpSqeQBCliQ0mg3EaT851pMhGssTCnroOal/O5/TfTzNSLxAKlVgywMjtM3z8fS+BLv3auI8+LtBjhzVA3DnrgQ7dyVoCmuG3xT20t2doueEnijuunuQWBJ6TqTpWuBn1544p4ZzdC3UA3nnrgSrVxU3u88pqKsTOjvqSlbGzU1eFPC7R4Yn18DTjErUGU+qLReMDJzCQXOT9zRJ1ZQxng1ytD5TiQE7y6oPekukdNPug4Npui17XPfxDOl0wS5vyZIAj++MkUwVSga+833Lf88lOM0oTmHTYOu2GOFGrUnp7cvS3uYruf4X9wzavyNRPVk++LtB+gdynDyZJtzoZWBQq8hHonoiDtT76FpYD1Ayrsyqs7OjjkNH03Qfz3DocIq77h6yn2Hq9uDDkZK+YvwjjPYhkSxUFNycKx9DSzPuTb+qZC6qZZh5tdKqzLkiHInkCTfqPmyY2rd+0MeefcmiUGoxv+5u3SbDlnnj0OEUj/whSsS6r5DXqpaBQS0MLe7y2+peIwgdOpyiucnLlgdGShjhSEQLOI/8IWozzAceiZbQd8kifwmtDE3MM8r7qaGhKXuiGI+B3gusF5FfAOUeYTMGM0iNetI0ZiDgKbE9Oom+fGk90Zgm3p59SQYGc2RSeZvQZqIcieRtj1ujTjh0NM2zz6bpOZGha4HfdigaieTZfN8wSxbVo4BLNzRw6FCSx3bEiEZyLFmkVUypFBw4mOAHP9ZSmGHEPSfS9JzMsPvpGF0L/bTN85FK6Q7XtbCe/QdTRKPF94nG8vaEYxg5QE9PukQ9tbhL23sEyMzBebh8xRcMekrUpOb3yguKwpTTS7pcbePsB+a4c6Ivt28762Ek5XKHlZ27EvT3Z9h/MMXiLt1XTN+Lp+CJp4qORPX1RbXVli2DLOz0M3AqzbGeDCd7M/Zg3XzfsC0UzNUVaNcCv93OTgEhntDCbTDosVfonR11bHlgxG7bSDTPqcEcTWEvO3clOHRUM8xQqI6hoRx+v15NplIF9h9M4fHoyTXc5CuxO29/PMrWbTF78t69N0lvb4aRkRzLzw+w8oIA/QM5uw841b7mtxF4jR0u5OiDUGTUi7v8tiOM0y8BigKeMefUKsr7mplXnZo+55g0nvTGpHT/QxHb+zke1zZM07Y9JzRjEtFj1OstChaZTAGldHu1Wer4waEcPT16bJh23LkrQSSaZ2hYa+UuXtdga/DMarch5CEWL47zZFJrDE09zJxttIYrVwROix9ubvLa582znWa/iWA8Sl+nlHqxUuolSqn/mVTJVcL+gynb8ByNFR0JAPr7M7bqrHwijMbyBOs9dC3wa1XbSI5EqqjOeeCRqDZqH0zZaqTN9w0TjWliZPLYNtPHdsaJxrStM5MpsOMJ3ciP/CFKW1sd113TBGjppudkhpyCXB58PqG9zWdL0FddHibc6KWxsY6BwRydHXV25zUELFi+LT0ntCdwuFFL1N3HM3ZHDjf52LkrQdcCP0F/0butYU6ExGmUq1Kc/416DrAdDACe2p2wpcM1q4Lc/1BxFWEYm9Nhx3w3hb32RA+UeFg7V6Obt4wwYE3oUNREbN4ywoZ1Ibxe7fywbUec+x+KlPTFlpY6ItE8bfN8nDqVJhrT0m8mVyAWz+MR4ZE/RIlGswQtgaq52cfKC7S0PRdXoE6v+J27EjYNI1E9YUVjWu392I4Yvb0ZHtsZ5+jRJNFY3hY+Bk6liUS1tkcLvXmGh7M8/niERFqPg0DAw6aNDWQLej6Ix/N0dhYdT/oGNJP9/o/7bEGn+3iaJ56KcPc9Azz4cITeXu3AsnNXguYmL319ehLdui3GsZ4MJ3q0R6hRJxraGnVlJJrnqd3anPTgw5GSFdGuPbq/BgJ6Or2zxh3Bysee6e/ljpCg3//R7UX7/a/uHWRgsHhdPJ6l52TGXtm1tvroOZkhldVms3ROlx+L52lv95MHep8tMstjJ9KcGs7x24dG+M1Dw9x19xDXXx2mKezl8JEE/QM5fnXvKXuFaua6eKLAse4U23bE6TmZYfvjUZLJgu1bcudPT9EULqrXjaf89sejNIW9/OTnA/Y7RKJ5nt6n+0Ug4OHQ4RRf/NrJCbXleAz0RSLys9n0wk0kC/YkA7BkSVGSeOYZbfg3k6hzBfLU7gSpjJZcf/yzAQ4dSZHJ6wHojE3s7KizJ+XmZh/7D6Rom6dXfUYVFwh46B/IsXZ1kCVLAjQ368G7/PwAF64I8tTuBJdvaqJtns+e8AvADdc263qkCqxZFSSeKBCN5Vm3poH+/kzJRGLqkrGqtvICPQFFY9r2eutNzWxYFyJUDws7/baE7HFQcMGC2uegTpuF+V9+/qbrm+3/TpVqJlOw1TsjkTytrT571WikfmOXhOLk52Sq5XA6urTN89mxoWaF+diOGG3zfOw/mCKdg/Y2H5s2NnDphgYuv0zbzV7xkvksXVzP4i4/hw6nyOWK8a9XXt7Cyd4MC7sCdHb68Xq1h/aaVUHWrg4Sbpy7TidQpF/SEmR7Tmrm85OfD9A/kGMwmmf1qhCdndqBxGhIEsmCXl2mi15Th46m2X9Aj9NcoYAXPSH39+vxXu/TK9Cli+vp7S2ulhZ0+Ola6McDPL03wfETGU6dSuPzeEik9Gqls9PPjddqQXfbjji5bIGmsJcli7Q2oaAUzU1eux/5fMXY+cVdfg4dTduq4c7ztMZn2444zU1ebrm5VbeFtSoejo/u4T1bcKo3nUIpFDV8e/cV51PzfehommMntDnsWE+GU8M5WzU6EskTT2ltQyqlVd4HDibt8o3ZrOdkhsYGL23zfATqoPO8olZPgKAfXvLH8wBN73//1rNs3RYjndHjzePRTN/My6AFK49XtEai0Ut9vYeeE2na23w0hb3kLG+83r4szU362U5h2WkWXNzl5+YbW2y+sn5tiMPdE1PjjsdALwHeD7xTKfXaCZVIxSTIJf8ng+VL6+3f/QM5enuLgeipTIHu7pTt7ANFqbjvVJZsVqtT1q8N2dJhQ8hjD3bQgzaR1KEhqVSBQMBjrxj7BrJEonmOHE1pSXpnnKGhnD2gf7c1woneDJ2dfvr7M3R21JWoCg8dTtkqpJFI3l5VDgxmWb0qRDxRsAfqwGCWxV1+O3NxuNFrq4+dnoSJdJGRjETyzJtXbzu0XLyugde8umOyTXwaqkm/clRyHjK2FfPfeEA7VW0AR4+l2XzfsH3d0JCm08oVgRK76f6DKfu3WX06nz2ae7wRpsxA6uyo49KNjaep5PbsS9o2ctBeoUuWaMbe3OwjW9AD3zzH6xVODWQJBT3EkqeHUhg7TjUxnTQ0MA43W7fFOHJUC6Y/v3uQ3r6sbaMEPTF3d6d4ardeqRlVa8+JjM1QG0Ie2tt8XLpBO8SFw37bfp7JKo71ZFBKT8aHj6TsFShAa4uPzo46zuvw03men+XLAiilmXBjg48lSwL09mbYuUvXoyHkIZsv2E5GkWiefEHZ/bC3L0vcUg8aTUIo6CGTVfT2ZohGdb8zzntmvrj15hYAvvKZ88+4batNv/H610gkz+EjpzONe/9P59Q1pi2A3t5UiV9IZ0cdXQs1PdrmFRckZtx0LfDTfTxNQ8hDoaAXJklrBdreVsdVV7Swc1eCeRZT6zzPz9rVQcws7fNoTWLPCS0QP7YjRmurj1S6uBAyDDOe0HSNRjO2qnckUnTyK+QVkWiebFZf76Th4i4/V21qZM2q4IRpOB4D/TLwAeByEbljQiVqlCdBLv8/YfT2Ze0B197mI5Mp2M4KoBvM2Al3703aOu2brm8mD+w/kNLL/WPFzhEMeux7li+tZ/nSepLJgr3iNN5+oAfQRatDLF4SoLVV32NCDZrCXp6zoZGhoRynBnM8tjNeEtNZX6+ZcTyhV8JdC7X9JJtVJJIFGkIee6C2zatjz74kjWWLSCcDGInk8QKXbmwEsFUOZkIOBT3Vsr9UjX6VUO6s0Nzk5dDRdFHFGvaV2JiMtLhuTQNXXxG27xsYzNrXXbWp0WZ+K1cESgZ8eQIGo26qhM6OOlsVHI3l6T6u1VNmAHYfz7BmVZD+gRwDg9qr2+sVkpbTiVFNbX00SrjRSzSaY3g4QyKRLQl1AmwNwzRhWmhofAbM70f+ECUY9HDwkA5NSMZz5HKKR7dFeODBYQC9IhzMlajOly+tt1WB0VjemmQzJRoZL3pF6a8TfU2XFlJWrQzZgnU0pifJ3r4s0WiGroV+Ojv9tLfX09paT7jJR29vhqFhPdlmsoquBX4ymaIqf/feJEoVTT8NIQ+RiFblGk3JyhUB+vqz9J3KksmWxhoZmldZCKoq/ZzjqTwE6Ge/0OrMU1YbmfHSczJDzKHt3bBOOzMmreFjxuWvfzNMIqmd5KLRnM2UzLy1/2CKC1doDVxXV4Ch4RznL9W0bGjwcvhoig3rQhQKiuVL6+3FTtCvNUq+Oo+16tXjORz28eSuOPm8bvNH/hAlEPBwsleP0zWrguSsiARTh/Y2n2W/1iYaw8ANpkrD8WbbHHBcKXUvMH7m39L7oJhDsPx/CcZKgvzYjpgtRXQfz+D3e2zjbyoLJ3pSdiMFgx7bi2rLA5oJRqM5EsmCzfSMas3YFB/5Q9R2VOjs9NuOQKBVRv0DOZYvradroVYbOfX/iWSBoaEcN17bxHM2NGr9/4liMx3rSdM2T9tAN21ssO2dRtruH8iRy5SqiXNWS5mJpDwebt3ahpJYRKe6s4rOC1Wjn0G5J6yZiI0Ue/3VYdud3HggG9hxYs9mSryr/XVi32PsboeOptm6Ta9gjZBkXO0rwek44WRmZnJNpbR6yqx2Qat9kkl93AgxzxwsDZPw1+mmymQV+TzEko6Vl6WlMPb5aULVaQil/TESzfOHbRE2//oU6RzEYnla2/y0tuh2D4b0ta0tPoKBonBn7KNGKDEOPsGgh0SygAfYeEkjeeCi1SEyWcX+AymCAQ9P7U7Qdyprjw9Dp0SyQChUx959CXp7M/h8Qjpd4NlnUzQ3+1i2NEB7mw9/nbD5vmF8PmyP3bZ5PhJp7DkGIJ0tOqCYdwXdHw4fLnrcAyUmpipiUvSDsWnoDLcpd8bsG8hWTErjRG9f1m4DD6Ux2Y0NXluAPDVYDBV0ljkwmKWzo06PpeGczSTnz9N9IxLNk0wXeGxnnCNHUyVhKobpLe4qajU65tdR5xOO9WRYvzbEke4UDY56pLLYq2Incjldr2efLV1tV7p2Ihhvxj0CPE9EfggMT6LcR0Xk3UASeIHj/yml1GnJUZVSdyilLlNKXdbe3l5ybs/+hO2c09+f4YmnIiWTnscjtkRl7CINIY8tUZTDrDZTqQLJZIHl5we0qm5DAwcOJnlqdwKfXzeLsXn19mUZGclRX++hbV4xUUGdT2y7CuhrzSoVNJETyQJLFvntHJDhRi83XNtMPFFgw7oQnQt0p2ib52PDuhDt7fq/M0ylPOzCyYicE3C40Vut3LNVo5+BU01p1OzhxtJsIyORvG1HdE5e5lwyVdQ2NDd5bbWpcyW3YV3IFoLiiYId7uKE05bidBiKJwp2MLehFWi7jFHbjYxoYcgEiI9E8kQjOTrm635htBhLlgTYvTdJNqtoCpcuGIyd1jmpTQOqRsN3vu+wbfM61pPhsR0xO9wjr8Dr0XP6yEiGYMDDddc00dVVb7ffsqUBLTS2l+V3tmyGy5fqa9vbfAwN5WgM6fICdUU72ste2MrQcI6rrwjT/2zaZr6Lu/ycGszR3uYjEsly6cZGOjv9+HyC1yvkcvo5PSd0WMtwJM+tN7eQzFCigjRYu1qvlJxrzMVdOsNRNqM9idvm17N2dem4K3mv6ti0J0U/GJ2G73zfYdv5BuCuuwdPE2jLYeIxGyzZwCmcm7Zx9t2rNjUSieY5f2mA/QdTGBOy+W6bV2ePtY72Otvr+fiJDK0t2tyRy+nIhjpL+DQevOmcrs/AYFZrIhb6GRrOEUkoe5wqoKcnxZJFxfzlnR11tle1GXN+a1Vr/FgMyhPQTJSGo6oCROT9wFPATYBXKTVh/94KSZDPCE/tjrPjiRjRqFYp7N6btDtDNJ7n3vuG6OzoIBbXjbVzV464NeHFEwVCQQ8etGPP7r1JgkHNYI8cTTEy4qMh5NE2x4X1BIPa4eCnvzhFoE7f39lRx2M7YixbGiAY9CDoTlRXJ3YGE9CStDPObf3akM0korFiuEwkmj+NYKaDdnbUEY/mShiL02Z28boGyymm6IRj7IiVMolMBdWmXznM+yzu8lfMOnSitxi7dehwivVrQyzu8nOkO8WDD0fsNjS2bONGv/9gSttjrPCWx3bG6eyo494twzYdF3f57ckXimELi7v89PYV1azGAzed1v1n9aoQ23ZqL+xjPZkSOoebfMTimrksPz/Aw49GGBrKkU4XuO6aJu78rz7qfdomDhNP+HAmqCYNzYT51a+f5HV/3sGuPTFuuLaZxV1+vAKJpL7iwgsauHhdA/FEgcYGL7fe3MKHPtUNaLWb8Wq/4zvPMq/VZ8cCRmPa6c+E/2Syiv7+jO3D0LWwns1bRjjZp0OAhuMFO8fynn1JWx2Yz+u+8NiOGCdPJokltRYpFs/TtbCeVKrAhSuCNuM0qmPQyzojbB06nLKXec4Vt8crLFkSoL29YAt4pu9UG9Wm39ZtMR7dFuGPbpnHkSM6vaTT4c7pWOQclw0NdcRT2ZJrfR5sT1jQtt/N9w3bNuCVKwK2xi+niszpa9/o5WRfhqEh7aULmpkODefoWuCngF7pNjboNnf6C4xE8lx1eZg1q4Ic68nYWg6zMGkMaru5M4Xj7r1Jbr2pqKEDzZRBazicmCoNx1qBLgI+CdwO/Nts5sLt60uzaKEfj+hufeRoyiaeUlqPDsUg5/Y2H4mUJnZdnTAwmLMN0mall04XqKsTm8mBllSTyYK9kvV49ACOxvJkc4q1q4N0d6fwWa3WtbDelpDb23S5piP6pNgpw41aAjJqD0Os5iYvL7ylVRPfqsOlGxvx+T2necoZGAZh4Fyd7j+Ysu0UcwFGoABKVmQmvWPv0AAAOkZJREFUjV5nRx319R57lW2EFuMlOzKSs9XA/QM5O+mG0+bZ25e1HbVMuU4440oPHU7Zq1ZzPBYvFXaWLAnYUm93d8qeYI2EbRhw77MZbr25had2J/B4BKWw7bfmfWHqA3cmsWlDow5FiGV55A86pMHEISsFLc16MuvrzzIwqG3D9fUeW7i89aZm0umCvUp/4S2tdC2s5+L1jfhE933jbHfphgZaW/0sWRKgo8Nve8W3zfMR9OuyFnT4ufHGVrt+j27XApKIDqc5NZgjkwG/11LZWbazroV+gkEPh46m8VKqhgxYZFizKsjVV4TxV1hafPC9i1i+tJ5bb2ousSmWo9Ziel/z6g5SqQIZy2MrV9Dv7swoVJ5Xes2qoNaCNRcZldH0eTzY4XXm3vVr9bxz6YYGmpu8NAb1/Bewhk5DyMPGSxoJ1cOqlQ1s2qAZWE9Pmn37dfymB62Kj8VPT8Vn4lFNqBFo4cggFKqjtcVnj906DyVaAlPG29/UBZx+rhwTpeFYDDQH/Ctwm/V5/YRKnAZkc7B6VYh0Ros1113TZBMvp2BoQDsfzJ+nXZgf2xFj8WLdQMZ92qgSzLIe9KTXtUCvPKKxPMvPD9BzIk3GskuajhJuLOrflywJsGxZ0Lrfx8oVAdueacIlWho8BCzVh1H/QGmuSfM7GssTDvttO93+Ayn+5q2jb/Fj3LLLy2lu8tohHnMB23bE7ZWkczJa3OW3JVDQA9Iwm4YAXLCi2PFNIDVoAcbpZbtzV4JAwENnRx25nGLTxgZbjey0Z5p74gltmzH2dpPk+qrLNdMznpYhy84O2Crk517VRMCy4zgFIcCegIzk22SpJ52JIuYCdKymj/VrQ3ascrjRS0eHn2DIi98LF60KEQx6WLJIh5UYRx/nBgeCnliNieWKTdoE0hDSglJT2FsSQmK8cgHOXxZiJJJn4yWNtqAYbvSSTGpvykxe0+c5Gxrx+yFQL+TRK0fzjGRSm24UpXGP8+fruhr1fUdH0d5mjk90L95aC0vatLGBZw4maWisK5kjtF3Rj5ei/d+ZlrAp7KWlSTOjxV1+OjvqqPPA6lWaJtFYnkvW6t9G8CxHwO+x56i1q4Ocd16AFzyvxVbndznsmnm0Ot85/p1taRYrDSEPQ8M5lHLMf5ad28wlixaVzoWjCc6jYaI0HIuBngLeAXwD+A/rMysoYKkFrHnPaXNoCMCLXzS/REd/w7XFZfv6tSFWrgiw8kI94IwTyvq1IVpbfbbzCWjm+oLntdgT40WrGu2sM62tvuJWYyM5W7LafzDFmlVBm4mahg+F9AUmiXi5xGp+dy3w2+oEE9vYczJTsopyZnox4Svl5Yz2v9ZgbGnGU9bkr4Rip11+fuC0lTpodZJTdfrG13RYwo3f1kjsP5iy7ctGynzDX5aG9jgdBswzV64IcN01TfZEYJ5tVsht83x4KaqjnJPv3n0Jlizyl0yuA4M6Xq6/P8OKFUHmz9dJAnKW2tJMVM4VOGD3q1rC0WM6McTF6xut0KqipP+ON3XywltauWS9dqIz9sxEUsc8X7i8uJJpbvbRZqnebry2idZWH0PDOdvT3LTJC29pJRT0cNGqELv3JnUcZ0cdSSt158hIzs4Y0xT2EggUU/E5tQW5vKIhAAss58Bwo5e1q4PcelMzTQ0eeyxFonnbqcVpP3PC1npE8mOuPp1l1BKGhtIsXxawwrX8Jc5411/bwppVQS5crvPJ7j9Y1KyEwz6uvabFvnbZsiCNDV6bZkePaAHQzKGGEV/33HlEonnaz6sv8XcIBrQGwNhAAeocTb24S3tRGwbXczKD32rOlSsCdr0uWh2yvbJHInk65tfZTn2gY+WdTHKyNKnGCvQe4FPAfzo+M44FHcWMIwYmnRboSdW4TRvG19uXte2etiOINXA3rAvZ+vsN60J2LJtJ5be4y8/1V4cJ1GF7lPWczJC0wk66u1Nce00zoYBmZubZpjyApcuCLOjUjMEcc9q8yqUbY/iORPNsWBeymYIzo055dp1KmG67WjXg9Igtzwtrjps2hVIV5/y2OjvBtNPuOxLJ2/cYb2fDBJ27PZjJr9KONc1NpeFCZmI1WLkiQDCo7Sr7D6ZYuSJg03b1qpDtvBWN5Vm8UDuZRGN5/H5tP/X5RNtmm/32ZFwpa5LvjIOEqo8/eUkbgO0g19FRKtiEG7VDlzMh+4Z1ISucQNEU1oyrbZ6Pri6dsjISzZfEeDuFKWOvTqcLBIMeezwYW+fVV4R52Qu1CrfnZIZ4Sjux+L362cuX1hOo97HxkibqvB4aG7z2+AZN3/bz6u3ngvYtcKLc4clgOmJ2ZwLXPXcey8/X7dfY6GX50nr7Pcwq37SB0cI0N3m58domO1ysty9Lx/w6W10bieZZamnjnJsDQDEsZHFXve3AFE8UuGh1iA3rQrzwFk2/g4fidtaiOosbGSG53qfLsyx3JYuOZLLA/HnFNKdXXxEu8YZubvZVpJNTY1cNjMVA5wNBoMvxmXEMD2fwogdGW1udbdw3jHHp4npbZ9/eVlxRvvE1HTSGhN4+7aJdX+/h/CUBek5mSvT3TrWMM/+px6NVc8aDa+3qIF0L/NxwbTO9vRk2bCjGIwL2iqq5STsjmc5oJvrRpFYzYUCpc81YmEvS7/yWUo5QSShwHofR1ZomZaLTO9mUU0k4MW1umKy5diz1zaaNDaftNGHH2YbqWLLIz8oVgZKE0z0nijvvOLFmVZBbb26hIeThlptaALj5xha7LpVCWIzmopZgJkUTavS2N5wHFBPAN4W9tnrNtK1pw+dYti4TMtK1sN525moKe7numqbTVncG9fWeEo3DpRsabGcv00eMnS0S1flXjfPXH90yj0ymwIUXhrRppiwbVXGC15oDU38Do70op2mtC6ijoW2ez57zLl7XcJqXOxQZlzNLWHOTlwtWBG3tV2en3+4Pi7v8dllOxnSsR6df1NoB3a7hRi+bNjawYV2oJEY7m9XxnhvWhcgXsJNZNDd56ejQTH7F8pBdH4Ng0GNri9asCpY4hIEWqCp5Go+2kcRUMRYD/UvgZrQX7o3AtVV98gTR2RkgENAD48IVQdpafLadYn6LzjJSvkNCxNq1oW1+PStXBFizKsjLXthKPJ4fNe7OObE2hb1svKSpRF3qtGPeenMLx3rSpzEAc/+SRf6KKqBKv4ESu0StMcAzxcXrGysen8pEFG70nmbDKV8tVvKKHK1N6zyV6WK0Ek5Eonnmt9URbvTaQpq5/sZrm+zVU/9AroT2RkAye8MODBb3iHWGAZj2WNA5vo1tpuFcnZfDtLWhS3nIkHOlA3piW9zlt9PgOVMZGoHItF86XbB3/4Aivc2YNnVrarLiGpu1I5dxgDEaKSiGDhk6XbgiWFKv8t1Xys0H5vdcHZ9OE5fRFBiYdzVtasLMzLzq1BRsWBcqaYNyvwvTxmA5/vRnSubGnpN6wWKYtdcLwXpLsG3wlIzf9ZZ9NVmW5KC5ycv1V4dZtrT4bGcCG4NK9Kq2096oDFQp9Rq0HfRtwNuBaFWfPEGcvzTABSu0lLN+bYhWRxxmR4dWtxoJyCQYMAZvs4IwQftLF+uOYK43xDRwNvb6taESqdWZOBvgZS+cN6YtZDL693IPuGmMDZxxGFVbOcZqE+fuN06MlgKvEtMsf0al362tp6/2nAKT8x5TvslN7LzWacO9/uowl25sLLmms6Nouy2PQS3fDzRbluWmFjCW9sT5DcVJ2KxwnJ7PThoZ4dQIK04amr1uX/0nbURjpc8210LRC7O5WWeZufaaZvuc2RSity9rP8upqXA6p8HpjP5sGoOgV+pj9Vvnt1MTNto85qR9JZ+Mtnl6oWO2YnSq+43GcM3KEI2NdTS31jESybN2bamwbfZvdqre7XORfIknrTNuHqq/0hwN4yVSWAisAy4GJpRkVUR8IvJREfmkiKxyHL9TRN4nIhdNpoKtrT7bE3LNqqAtOY5E8rzwltaSzuDs9Ea94FSXrV4VKpF2x1qNmuc5y3OeK/eGdZ4rx3irrXImPpuhDdWm31RQSfo3mGobl+OStQ12EvCJlv/CW1pLkiBUcrUfieTt3YNMnaKxondu+eq0nNad55057atNw4msusqvcarMnefNCtWcq+TZajymzUTrfIZT9bhwoWaML3uhTkTe3uazz8UTOoHJW247r4TpGpRnpyq3x1eatGcK0zEGnYyunHFWEoSc95XTp1xzUmmlZ2hYrolzlnXR6hALOv288qXaxr78/FIHyU7Lj8TM/6Np/Ey5lWg13fQbj4H+FbAJ2Aj87VgXisjbReROYDN68+1PAf/POmfsqX4muZJdvrS+JLuOCYw1DejsGOWNWJ7azimljMekyrOLlO+VN1bIiDPVnrm+1jFd9KsmKtk0DCbbxv46mVTqQ+eANc+qZEttbvLaThlmYjHhGRPBaCv2iWA2aDgRejgn7HKhdaxxWD7Rlx9faE2wTo9pc27likDF0Arzv5Lw4/w9FlOZLkw3/cYS+EejY6W2H01rVwnlq97yey5YEbS1PU6zCBTDVsrn4tFQSWM07fRTSlX1g2a2rwIagI9YxxrQTknNwD9VuOctwHZg+5IlS5QTwyM5NRrGOuc8X/5dDVSzrGnGrNKvVjEV+pXfM9EyhkdyZ9IHZ30MzhWYdna2d/fx9CzXSik1A/RTc5SGzvFQTrvpmLeniFFpJUpV1+Zi7RTwaSAG/BhYCzwEfBQ4AdytlHp8tPsvu+wytX379lHLHy8Ga6zrJ3tvteowyxg1+XTFi6eZfmeCarb7TNNwos+rcN2k6Ae1TUMnzpQGZzIXVOP5k8CMjkGYHA1naz5z2qXHen4NzLejJ/AfjYGKyLehJKcySqk3VLdep2OmBu85hElPwGcCl35Vx4zSD1waTgNcGs5tjEq/sbxwX28xzPcDAeDhaajYuJircVcuXBi4fbi24NKjdjDXaTFm3hMReTnw58DfK6W6Z6ZKpZhDqlIXLirC7cO1BZcetYO5TouxVLjfB1qAr6Dz/KKU+s20V0ikHzjqODQfHY9aa5gr9TqllLp1ph7u0u+MMav0A5eGVUCt0XCutFMtwVm3Uek31gr0Puu78tYg0wSlVMluviKyXSl12UzWYSJw61UZLv3ODLVQL5eGZ4ZaqJeThrVQn0qo1XrBxOs2FgNd5vhde+lRXLhw4cKFi1nEWAz0O9Z3CO1S/eS018aFCxcuXLiYIxiVgSqljorI5cAHgE8opbbNXLVKcMcsPXc8uPWaGGqtPgZuvSaOWqwTuPWaKGqtPga1Wi+YYN3GciL6OLAezUCTAEqpQ9WqnQsXLly4cDGXMZYKNwfsAF6BDiRVwMdmolIuXLhw4cJFraPqqfyqDRHZAHxQKfXK2a4LgIi8CFgB1CulPjvb9XFCRPzAJ4AHlVK/nO36QO3RD2qXhrVIP6g9GtYq/aA2aVhr9IOzh4YT345iBmF2JbB2JmgEjsxylZy4QSn1ZaDVyllZS+gEnpjtStQ4/aB2aVgT9IOap2Gt0g9qhIY1Tj84S2hYaxUHQCl1O3C7+S8iL5u92pwGs7fajOe3HA9KqW4R6UEPmNmsRy3TD2qUhrVCP6sutUzDmqQf1A4Na5x+cJbQsCZXoDWOR0Xk3ejsFLlxr3ZRi3BpOLfh0m/u46ygYc3bQF24cOHChYtahLsCdeHChQsXLqYAl4G6cOHChQsXU4DLQF24cOHChYsp4JxnoCKycLbr4GJ64NL27IJLz7mJs5luZxUDFZHviMh/isiPROSfrGM/GOP6pcA7Khy/TURutn4vE5FPjHWN9f8NItI1xXrfICJvEpGPiMhdIvIDEfms9Yz7ROT7VkzX3N599gwww7T9IxG5TEQ+LCJfqeJruLBQRXp2WOXcYX38IvKhCdahVUR+X4NxiDWLGqHbIWuO/IGIXCkij1q/fyEifzzll5sC5nzHEZGPAGGgHvADr1VK5UTkf61LNonIF4EE8FHgc4AXHVh8ErheRFqUUsPjPOc24Bp0XuAHrMN/JSJ/gd65ZgkQFJFPAq1AA/Am4JvWPQ8CfwD+3nr+XUAEeBsQADZbZb5HKXXA8czPKKXuE5F/B84DTkyuheYuZpG2YevzCuCLIvJ24BI0nd4K/BrYB/RZdVsO7ARWA59WSu0645c/CzFN9LwU2KaU+pKIXA+0AatEZ5P5OhAHLgZeC3wL+C3gV0p9EHgn4CzLRQXUIN0eUUr9paN++5VSfykineh0s/dUvxUq42xZgf47Oul9PfBNEdkMHLbO7VRKvRtoBv4UWATEgMuBh4EHKkyw5bE95v//ohngC63/dwBvtj4G91ifNejO1olmnr9DT74pYBC4DngDcBuayRr8syXlvdj6/14rm8hq675zDbNF20F0LugfAM9VSr0NTdc/BoaUUm9BB4N/D7gbeBz4hvVsF6OjqvRUSv0KGBaRr6JpF7FO3Qjcq5T6ayDqKP9jwFLr3o8AvdPwjmcjaoZuwFXWHGnmzQtF5DvAryguRGYEZwsDFfTqIAe8USl1K9AuIsvQDAvrnBe4Tyn1PvQKcLQg2GH0ag+gi6KUmlBKZSm2WwooAGnrfwN6Eh6guFL8B+v8J63n3wF8BL0aLVjX5B3P/v+UUrcppYx09zml1J8BPwL+bMxWODsxW7Qtr4OBBz05GCQp9gE1yv0uiqgqPUXkFcDDSqm/AR4FXmqd8jvuMd8J69s53lxMDLVEt63WHPlG6/8zSqnbgMvQ8++MYc6rcC28Hy0ZpYHvikgBPZEdAy4VkfcDp4AfA98RkXVo6WkIuFZEFiqlnKrR+9BS1q1AE1rNekuF574evSL5FvB8dEfyUpTCwlbd+oBtaAnpU9Z137Q+30LT4TejvNv7ROS1QLtVj3MNs0VbJ35n2UJ96AH68qq93bmHatPz98BXRCSBnnz/Fj0mfw18XUSuQK+MXJwZapluKy07rM+6f8Yw5zMRWfr5Hxi7oYuzBy5tzy7MJD1FpB34J7Sw+oxS6uvT/cyzFS7dRsecZ6DVgIi8A5jnOPRtpVTPbNXHRfXg0vbsgkvPuYmzlW4uA3XhwoULFy6mANfhwYULFy5cuJgCXAbqwoULFy5cTAEuA3XhwoULFy6mAJeBunDhwoULF1OAy0BduHDhwoWLKcBloC5cuHDhwsUU4DJQFy5cuHDhYgo4W1L5TQtExIPOXRsF6pVS73CcuxD4ODp91XallElu7EPncLwdnfbqbeisGs8qpT49w69wTmMs+jmu+U/gf5VSZru4fwAKSql/FpGr0fSLoun3sRmsvgvGHYNLgZ+jd8I5qZR6v4j8M3ph0Am8Syk1ICLNwFbgeUopN3n8DGIc+nUB/4LeuGG3UurfROS9aNqdh84ZHkKnEUwAv1RK/c/MvsHYcBkodqqqNeh8tj+1Dveh86YeUkp9SkQ+KiJXK6Uesc43owl73LrnO+jtd7ahk4vvRid/vxqdL/LxGXmZcxBTpB8i8neUJoZ/C3rAxq3/rcBfKaWiIjKjOTbPNUyRhtdR3E3lERG5DFiMFmoPW8zTg84/fXCGXuWcxBTp91bgK0qpR0TkHhH5CfBc9DZop4Bu9A5Hf6+UOmGNQZeB1ii+BTyLTgAPOil8J5r5gWaU9s7qSqntlgR1N/BbERHgvUqp34rIi9DJkbcA16Olp1+ht75yMT2YFP1E5CXonVi2mmNKqdtF5AbgSuv/3aLxAeA/p7f6LpgkDdG7eNxn3XMfeh/JfqXUO0XkYyLyPPT4+zrwd9Nf/XMek6Wf89wQsAzAot8bgL8E2h1J6GsubZ7LQIsYtrbWsSEizwWutf4uQq8qzbkNwDGl1AtE5KfoDbXXoDd+HUDvMPAB4DalVFpEctP+Buc2JkU/4C/Qg3YVkBOR/1NKDZTdHwa+BPxQKbVluiruwsZkabgRvbVVQURi6NWo2VeyH71J85VodeBVaPW8y0inD5OlX7d17Bg6T24vMGKd60fTrUdEFiilTlK6rWBNwGWgY+Nh4DUi8mUAS9XwRuAp6/zXRaQHraI4KiKrrWtb0IN1A/AtEekDvj/jtXcxKv2UUq8GEJHbgFQ587TwZeBC4PUi8lql1OtmqN4uihhrDD4DfE5E+tGbnT8I/IW19Vw9cLtS6r8BrA2XPzsL9T/XMRb9vgF8wRqDP7Pm0OMi8m/orQbfATwC/IuIZICvzMobjAE3mbwLFy5cuHAxBbhhLC5cuHDhwsUU4DJQFy5cuHDhYgqoaRuoiFyJNvr3op0FflQh1nIT2gDdpJR6j4i8G/i+UupUWVlvQru954AAWr++AbhSKfWZCs/+DtpL84PAv6Mdg0aUUh92XHO1VU4K+G+l1L3W8VuBv1ZKvWi0a6zrXmPVKQR8VCm133HudrT3bgPw12iHpPPR4TPzgZejbXS91v8Pob0Nv6uUunNiLTy9mGv0QzuAfQMdl5YC/glYzSixvGPRzzrv7AcvA16MDnF6VCn1HyKyFdhnXf5PVj1rhn4wJ2h4PfBJ4ADatv0vZe36TrTD2DqgEfiQUuqo4/7Pou2lzcBblVJp63g9sB14DMiiYxI/ad12Kdq57IDz2ejwi88opS4cr11nEnOAhhdTIdbTOX6s/3XA/wHvU0r93nH/WPNoCX2B91E6j96Itq0mrPf/KJMYhzXNQIH/B3xSKfWEiNwpIj/n9FjLEHAFsFtE1qPd2MuJvh64XCn1Wuv/1cBKx/mL0WEnBibW6DPAq4B7lFI/FJFvi0iXYyf1oHWfFx0QfK+IrEbHfvpGu8bxnNcppW4WkfPRHegtVn1C6OD+eyyD+hKl1Eetc9+0yjsP+Gel1JMi8lXrOT+eeNPOCOYa/fqAU0qpd1thLn+B9vwbLZa3Iv2sOpX3gwDwJrTW55ci8iv0hJ5BxyweFZFaox/UPg2vA06i2/UREVlEabuOiEi/UuodIvKnwE3ocAtEZDnQrJR6q4i8HngF8EOr3MvRwf954PfW824TkWXAB5RS3xSRDzmfrZTaKiJvnkojTzNqnYbvoSzWs8L4AfgYxbAXJ0abR0+jb4V59GVo+oWAHZMdh7Wuwv0i8E4R+Tx6ULSiYy3fAWwG/lYpdb8l+XwXeA06JOGzomM0DdaiY8YA7QmmlHrUcV7QhDIfZ7s4Y5VOAAsc5WwBuoBfoJlnK1rS+9ho15S9X9b6Lo8xTVjM8yPAerRLNyJyC/CEUuqYUmq3xTz/GJ05Zx+1hzlFP3RGmxER+Rp68J6HXllcD/wJcFvZ+1Wk3yj94E6rbl+wPkngL5RSbwHarMmoFlHTNETHYb8JPWl+kgrtqpT6bxH5E+DDwO8d93aiaQenxygeAV6rlHoj8AIRWWwd/6BVTqVn1ypqnYYlsZ6Vxo+IvB2tIaqUEKPiOGQU+jrnUWAFsM9qi8tEZEWF8kdFrTPQJcAnlFLvQRMnio61hGKspcGb0dmAXoCWMP/cce5J4Hnmj4g8X0Ts80qpJ5RStzk+/+u418QqgZ5sTzjKeS6wXyl1FXogvQzdQf8VWCMiL6pwjRMF63tRWbktInKZUuojwOeBN1qn3oBWMZrrPgRcqJR6J7WJuUa/IPC0NZj2AkfRqnOxVHvlsbwV6UflfrAA+DbwbaXU/wFL0Qy6UlvUEmqahuj4zoJSKoWeSE9rVxG5WSn1M3SWGyejO2aVB6fTcDVazQc6XtgnIp26qurkKM+uVdQ6DXus8YFVv5dRNn7Q2oGXAy9Chwg6Mdo4HI2+znnUGTt8iknGmta6Cvc48HkRGQZ+rpSKyOmxllhqm3lKqT0icgxtM/yBKcQ6vlVEfoZuLD9F3f14+Clwh4hcAxyw1AwfQMd1tgDfFR2H9iul1LfRkyQislkp9UuL+PY11rmvK6XeCnxPRL6Bjnl6ryXtvRGt8vgb673b0JM4wHylVMIq47VoSfFREfkBDmmthjDX6JcQketEZyMKoVcWpyiL5R2PfkrnzC3vB79BqxXfIyK9wCeA94m289QBD2BlYqkx1DoND6HjsRNoW94hTm/XD1rqWz/w75aq79VKqc+IyKD1Lk3AW0TkhWiV/pPWex9H59k9LCIvB55w1Kv82bWKWqfhF3DEeiqlfknZ+AF+af3/CHrVPKFxWE5fqy72PAr8F/ANEdkIxJVSByzBekJw40BHgVjGb6XUu6ah7Lcrpao64ERkCTXmRDSbcOk39zFdNBSdYeqlSqkfjHvx5Mp9BTXoRDSbONvH4ZgMVEReh06F9VsApVQtOjm4cOHChQsXM47xbKCXA0MW47x5BurjwoULFy5czAlMxImow/Jaapnmurhw4cKFCxdzBuOpcOeht5QpAD9SlRNuu3DhwoULF+ccxluBfgYdH7cDnYljQrDc9t8pIsa76/Ui8nGZQJDxrbfeqtDZMdxPdT6Thku/mvpMCS4Na+ozJbg0rJnPqBiPgSaUUvuUUg+Pc105blBKfRloFREfOuvFABOIlTp16tR4l7iYfrj0m/twaTj34dKwxjEeA31adNql71HMLTkRmIBzE5T6JaXUl4B1IuItv1hE3iIi20Vke39//yQeM3vYsy8521WoiJFIvhrFzHn6jUTy1WqLMZ/h/K4xzHkawvTSsbzcGqTjWUHD0TASydfsPDpRjJdI4U5gD5rRTkYV8ajoZMRJdEaLlSIiaI/e03qpUuoO4A6Ayy67bMoqj5lEPFEY/6JZQHPTaeNqKpjz9KtSO9gYieRHLbO5yWtPvtV+7hlgztMQpq89y+lp/pd/zzLOChqOhuYmLz1WTqcaae9JYzwG+jXgN2hJSKF3fB8XVtosJ+6ZfNVqG0/uirNpY8NsV+M07NmXZM2q4BmVcS7Qb7IYbXAbxrlzV4IN60Ilx8a6r1I51ZxAXBqODdPWx3oyLO4qZrLrOZkhEvWyuMs/KlMtv2e6cC7QcOujUboW+Ge0XauJ8RjoXqXUN2ekJnMMT+yOz3YVKuKxHbEzZqBzHdVYDTrLKC/P/P/enf10zK+j+3iazo46AIaGcqy8IGBPChPFXJS+pxNOgaJawoWZoEcieXpOZugfyNHdnWL1Ki34PLkrTtu8OlpbfURjeeKJAolkgeVL60ueP9cm+VrESCRPJJrnid1xuhbWs2TRxNq01laq4zHQdSLyE/ReaShrGxsXtYs9e2NA+2xXY1ZRjQFWPnkf68mUnNuzL0ko6CGTKTAwkCYQ8HD89xECAQ+trT76B3IsX1rvTrZThJOG1aDnSCRv02L/wRSJZIFQ0IPf72FgMEd/f4ZEskBjusDQUI5kskB/f4Zw2MchoLcvy6aNDTzwSNSl6xRQSTX+24dG9LmRHOHVQbtNx1Kn1xLzhPGdiP4B+Al6O5z3Tn91XJwpkqnZrkFtYSxHn/Jjx3oyp11vBmxTuDhwt+2I07XAz8neDDueiJFIw4kTSSKRDAOn0jy5K057m17FzAFHlTmBcrqM1o7O4+UOSIa+K1cEAOg5keGpXVGeOZjkyV0xjhxJEovn2bUnzpGjeiDt2hPnwMEkA4M5RiJ5NqwL0RT2unScAsyq81hPhv0HixNVc7OPX/9mmJFI3hZUxzKDlNN4NjEeA/0ocA16Bfrl6a/O6XBK/i7GR226Ns0eRpNcK6mCFnf5T7N1QdHjurnJy9ZtMQYGc2y+b5hIJEvOctWIp/Qnk1WkUgUefDhy2nOdErWzX9e4N29NoJyO5e1afp3ztznf25el52SGnpMZensz7NwZJZVWPHMoSToH2YI2zQwOZtmzP8HxExnq6z309WdJpQrs3JWg56SmW8/JzGlz07lIv7HeuZwuzpXnbx8a4eixNAA7nogB8It7BgFjhy6OQef4KB+34/kmTDfGY6ARIKr0Zs21vN+dizmCmerYlSRZJyoNvHLJ1tjLjD1zz74kIyM5RkZy9J3KkqowIlJZ6DmRZtnSAN3HM+zZl2Tbjjh79iWJRE+fAJx1qTX11EQw3fScCJOqxEzNdySat1c7nR11dB/P0H08QyZTYDiaJ1Oh+jml9zM72ZdhYCBNPJbl8NEUT+9N2GVWwlyk35nCKaSMpRUwISuP7Yxz/ESG6EiWvgE9gHw+4eAh7VPyyB+idB8vjt3Hdsbt34AtwDjLHqte043xGOi9wHoR+QVQ7hE2I4jGzj2p7mzGWOqYamEkkrdVruWrkErXmu9ye8uxnowtDR/r0RPv8vMDDA3nOHly9Pi1QD2sXa0dueKJAp0ddXQt8LN7b9KefJ32nrm8chlvoprqu5n7nKrz0Z5XSUtlhJXFXX46O+r0qrMvSzDoYccTMY4eS4+prckDPiv6sqGxjoWdfjrP8xNu9BKN5Qk3Vl4Bn6swK8zR2mLrthjdxzOk0wUaG70Mx4ut33MiTS4HpwZzxOJ5njmYZPfeJD0nM1y6oYGek5mSFWy5P8JEzDPThfEY6HVKqRcrpV6ilPqfGalRGZwd1cXZgelmGuWT7J59yYqDr3y1sm2HlnY3bxmhucnLoaNp+gd0LPuho2n6+zPs3ZcgmSqQTo/+/EQafvLzAfr7MwwM5ojG8mzdFmPJIj+Lu/w88Ei0xMa6/2DKVlXN1cm42mro8Rilec6efUmbyR7rKQo70ZheeW7bEeeRP0Rtj9pHt0fJ5xW5zPjGjpzStDzZl+GJpyIc60nz2M444UbdNxZ3+TnWk2HnrkTFutU6qlHPSj4DZrXZczJjf4NmlCd6MzxzqFT4LKA1N0e7UzxzIM7QoFaZ9w/kbNqZsRlu9NIULppXjvVkxmTc5hrn90Tef6JtMx4DfZGI/ExEvmdlI5px7N47tzNVuKiMmQxWN2E9Tk/M8rpEonkaQh56Tma49aZm9uxL2nGd0Viehx4eIRz22Qk0suPMv8ePpzh+Qg/Y7uMZ1q4Osv9AipFInva2ovO7cWpZ3OW37T5zGZVsvmdanpnMnLQzK/nycKHevqx9vCHkoSHkob7ew6HDKZ7cFWf92gb6B7IMjqKGHQ2xJPT0JDl8NMWvfzNMKOixJ3XjWAS1yTzPxIxRCeXMy5RlhMDmJi/xhGaA+w+keGp3gpGRHMe6U3R3j+7lWABSaUgkczz+eITHd8aIxfMMDOYYGMyxbUecprCXnpMZ20Hv0NG0TQenAGr6jdFGjUTypzn1OVXx5cLrRPvteGEslwArgD6l1NCESkQnQbbuq1dKfbb8/0TLAe3i7GLiuObypjMuo5r0q4SZsPmVM6PxguHNaqK3L8sDj0QJBT385OcDtM2r48DBJM3NPh75/TAej16VjAYBwiFh1coGVq8K0dlRZ0+ul25osOrkP60Nqh1EPt00LEclWlYr/MR8O9XxzrYy55rC+rP/YIpoLM9TuxP0ncoyMpKjudnHs72p01Y/Y2F+i49ctoCvzsPF6xtZeUHAXgFFonpiHs2efaaoJv0mWyfTF0cTcp0rQHM9aOFFa1sy9JxIc/hwAo8IiVQBERDRqvGx4BEI+L00t9aRyykaG7y0zfPRENJrvZ27EixfWm+3/fVXh08rw9T5dNqUxsc7+9BU6TbeCvTLwAeAy0XkjkmUW54Eufz/hFFfP5EtS11UGVWjXzlmS0J3MiynjfRYj/am3LMvaa9eAA4dTuGvEwYGszQ2eBkazOLxQGYcp/BQANrm1+P3e+ixVqA7d2nnk7HsstMQV3hW0bCS7dyERUSieXsVsnNXgoHBnO2I0tLkpb7eQ/+zaaKJiWe38wLRWI6FXQEuXt9I10I/+w+kbBo6Gcw0YdroBxOjoTF9OB3ynPcZRvrYzjjRWJ5NGxvoH8jRcyLNyV59T0EpMnlI56jodFeOnIJ4Ms/AqTTpdIETvRkOHU4RTxToPp4p0d5UqpdTUB7tXY2KuRoYjzvlgONKqXuBycSTlCdBLv9fgrGSIPc+64axTAbLzw9Uo5iq0a8cM62iHE99tbjLT1PYy5pVQTZtbKAh5GHDuhCdnZqhtc3TmYZS6Ry5HHbYSiX4BOrr9Arl6ivCdC30E40VVbZmMnKquqYRZwUNjSahnI5mhWHot3JFgJ6TGUJBj53VJhbPc/RYmr6+NMPxwqSSebe2+Fi9SveHdLrAwKDOMOXENNNwUvSDydOwkk3QtCkU830bRmmEleYmL719WVsFeumGBttO2dubYd/+OA0NXpIpRTShbGesiSKbg3RGUyuVKuhkJYM5UqkCWx+Ncuho2q6XeZdy7VKlDGLmfZubvFXL1jYeAz0CPE9EfggMT6Lc8iTI5v8ppdRpOlml1B1KqcuUUpe1t5dm0Tl0ODGJx7oYGKyKyrtq9JtpVLKXlaN80jMemyZkpedkhmSygN/vIRDwsGRRPYUCFUMenKirgw0bwjQ2aE/NRLLAmlXBEke4aKyy6m8aVjJzhoZjvftoNmsoOn0ZG/aaVUEaQh76B3I8vS/Bvv1xCnmFmgTn9Fqf85dpZtne7qe+3sOtNzXTtcBfYjebZkFiUvSDydHQGaZl/pdj5YpAyXjq7cvS25e17fYGTWEviWSBnhMZOjv9eL0wMpSlrg7qvBAKTo6DFtBMNJHQS9ZMVtFzIk00muOqy8O2b0K5YOVMemIYPhS1TKPNCWcy9kZVBYjI+4GngJsAr1IqMtFCKyRBnjImsux3UV1Uk34zjUo2qUorBXPMJN83/zdv0enFjhzVdrT/v71zD46rOg/479td7Wq11lqWLGFZsg02thNsCCS2wTQQwCVxoYVQnIRmwjSYziSUaZNOcTsp0KY8kjYhQwtJaDqhTZtOSkunL1rStJCGR0mLywBxkoJr4weWTYNtsGU9rNfXP849q6vV7t3Vau/uXen8ZjS7urt7znfPd8/5zuM73zn+g5MMlBHdKSHQ25tm34FhPrCljYHBCfbsNY5ItqF6vW8kl1chqjmiaSQdzvSe/eW088UB1qxq5nvPnGDv3iFO9I9PWWcbfru8DmVCzOxCOg3Ll7UwMDhB/6lxNm8ya2zWs9fvtJQ/wqkmYesvv15YY9N3ZISe7qlrg2YPczxnNE/2j+diBdu1yZZ0jD17R2lujpFqipNKm3XMI0eGZzR1HgPiMUilIBEzaQ8OmZHw2asyU2S3U/h21Okfkdo1aiBX/4o5Cc1Gf0Fz6b3ADcDLgIiIuli4jkYkyMHFNhb2/80bFwDkHBeefOoEhw8PlTSi2QVxLtrYymv7hnnz2BidHQm2XduRm/aya2al5HEUplCDZ09DOnFynGuuauf7O0+x/8Aw+/YPMjFh1t3KJZUCTsOqlRk62pt4z/mZnMdn64J44Eg46hTrQOZ/ZvfcW2NqDZDd+2qvZVvNNh67NGF9B85bn+HZ75/kw9s6OXhohKefPU6ySVBVEgnK6ohOABMTsLg1Se9SU+bJZIxz17XkHLj8+I2kxT9VG2YnB4IN6BjwZeBhAubdHdGi3FMNakWttqpUir/3mm/g3jw2Rks6RlM8RlCQxGQcEl5Q8oULEzkvQWs4LbbHnB80O+pEVU6/XH1HRljem2TXjwZQhUw6zvip8cA1a0sc6OpqZnh4gmST0NwcY1lPMudoUuhos0aiWIfNPo9g7nHni+aIRr/RKTT1+XrfSM77Nd+rfXBogt17hmlujrFpQxuv953m1Klx+vtHSCdheKT0wdLdXUkuvihLZ0cit3/XdnTtiHNhNp6bfSgkR9C9V5MgA3oU+GVgs+/a9lClccyaqB1l1giNjd+g2QrqX+M5sH+IVKL4iKatrYnVq0y52xGsfwrJvy2gWlNHtSSqcvo7PPZg5tWr0izpajJrdWXu9cy0CImEcPFFWVrSZu+oXQ/P71RFtSyCKGb0F2bNlh/7/PvPN/avJ+bjXzu1ZFsnTyg6f32Wl344SEf7pHnp709y9PgYx46eZnBIiccL16cY0NXZRGdHIrfm3H9q+iyOlTc/gEUhecMkyIA+DrwCHK+RLI4q0IiH0kYBf2/c3wN/440ROs9IFd0/eNWV7XS0J6ZMJ9rK7nfACBq5NOKoJirY8u7pTvKPjx+nszPJG/83wYm3R4jFIJ0yQRCK8a51GTZvamVgcII1q5oLenMWyrOR9BUkqz3HttD38++z2EyNfb8wO+lLsHJFCoBMS4zWBXGe+69+zlrRTCIhtGXjvH1yfFqd6u5K0tXZxHnrM5yzNp0zjv4p9EL7ty310EuQF+5iIA30+P5qTqYquzLmD854VoZ/I779H+DcdS20ZeM0T29nAHOSxMYLMvz41aFchS/UQy+Vt2Nm+Ds5VmfXXNWe+7y3N00iAa2tSdK+KmHXopJxctcPHhrJGRL/iKZYXZpL+ppJe1FqHd9/PdtqjF5PtwlfufWn21hzdjPLelJeWqlpdWp83AROsI5JdouS//i4fHkLOQbVcp9y0Aj0Y5jpasUsAI0BNQ/nl8kUabkcBWm03nGUKORoYbegZLNNxE6N5qIQtaSgoyPFDdcv5qnn+nOu9fZ3hbyBHdUjf/RjG82O9gTDw0n6+8e4/H3tPPsfbxGPQ1smRv/ABOPAWcubWdyeYGRUef8VbblRlZ0CdLoyFFrzzR+FBv0W8I6PM9d6upO5adkXXhrg3HUL2PmSOcrMrnvC1GWoUsEq6u2QV3QEqqo3YtZBPwncAvTXSig/G949PVSToziu8leX/lPjJJMxupckaU7GaUmZ0UtHRyo3alm5IjXlxIhix105wsE28if7x3M66exM0nf4NGcsaaazs5lFHUmWLk2xuC3BO9eazk6ySaZNSbr6YyjmvRo0Yi1k6KzRzPfN6FmaJJk05sfOBAwNTdCSjk0LE1iOXuoV4axUSKilwHrMzEdX+OJMZ+uWhfXI1uHwKm1yihv/6KiyqC3BxRe25k7kgKlTf3bKqdhakqO6+Ms22xrn8kuynOwfZ3lvkjePjXHw4DDLl5u1IOsktHXLQna+ODBtdFVqvXq+EHT/paZvC13LN8jZVjNV++ruQRa1Gye8de9ITzPQ+XWpHJlqqb9SBvRW4COYGMC/Wk6CXpzGO720/9w7jBsReQR4CfgHVf2fcgWMqlNMS6reEhRmtg9PtfXX6FhPxSVdTWze1MrBQyNs3riAhdk4P3plKDel5W946z19O191aHVg9WVHP3a/onVG+fGrQwX3Qdp2pt7Gcy7qz++UNRm8IU5Xlzlndd070gWNZSW6iMQULoCqHlPVr6rq11Q10BtXRG7xFPwvwCjwOeAXvM+sQ1KSAlPBQTEco2g8AS67tL30l+pApQ9PWPprZGz0Euth29OdZOuWhVOCLpTjWFEr5qsO842h1ZfVxzlr05yzdnJ0Y6cTN16QqbvO/MxGf953QtFhtaZH89vyZT1Jrv7AIi6/JDttm1d+5KCoUrWjTlT1IVW9AdgB7M77eAi4GXO6y80Ffls0hmNUCzGdnlunxISlv0YmaN+m3T4RpedzvuowvwPj3w+YP4VoG+ZSzin1YDb6834fig6r3ckodDCADXXpvxalzk0xgmLh/il5QSNUtZxACruAjwLvBB4RkeuBZ4DfBQ4Dj81EwKgWYqFz6OYIVdXfXCG/9xzxCj6vdRi0FtcggSzmtP785e6fNo+wPopS1ICq6k0AInIGcD/wZDkJeicF7PBdesV7vaVCGSPJXHU0mC/6C4OoPBNOh8FERU/FmE/6i7ouShHoRCQi12F6Qr+uqgdrI1Jj0MhKd4SDeyYaA6en6NDouhAtclieiHwTaAMewHjhoqrfDV0gkTeBA75LizH7UaNGo8h1VFW31irzAvrLpxblVivd1CKfmuoPytKhn7DLIMz0ayV71HUI9WvP6tmOlpt3Uf0FjUCf8F67ZyrVbFDVKavfIvLfqrqhljKUg5OrMPn6y6cW8tWqDOpd1mFRSod+wi6DMNNvZNlLMRMdQv1krWcZVSPvIAN6pu/9DM50dzgcDodj7hNkQL/hvbYAnwd+ELo0DofD4XA0CEFeuAdEZBNwO3CPqu6snVhT+OM65VsKJ1dl1EK+WpVB1Mu6FoRdBmGm38iyV5t6yVrPMpp13kFORHcD52IM6BCAqr422wwdDofD4ZgLBE3hjgEvAtdjgskrcFcthHI4HA6HI+oUHYFGBRE5H7hDVbfVWxYAEflZYBWQUtUv1FsePyKSBO4BnlbVf6q3PDBVfyJyI2Zr1Agm3ud2IAN8RlVHq5RfLuA2sAVoAg6p6qPVSN+XT2Sfg1oRVlmLSBoTvOU48BSwAbOV7jVV/evZpO3LIxT9icgvAsuAHswOhv/EBIQ/XK08qkEx3QH7gCuBjKreEbIMNatDInITsBIzMIzhtTvAbd7/z6jq0zNNN5IBXW1QZU/JC4D9dRbJz2Wq+ofAIu/UhCixBHi53kIE6O9dqvogsBr4EPAQ8O/AT1UpvyeAViYDbp+pqvcDF84m/SJE+TkIjTDL2hdM/VvA14G/As7CNHwj3l+1CEt/T6jqPRgj+hamfE5VMf2KKVN3HwF+DzgiImeGLFIt69B5wDFggMl251pAVfVe4JpKEo1kxVfVhzA3CYCIfLB+0kxjzHuVukpRAFU9KCJ9GKNVTzmK6W/M97VxYKKa+YlIBnNixSjw6bz8qk1kn4MwCbOs/c+NiFwM/AxwL/Btz6nxfuDvZ5uPR1j6+4mI3AX8DiYg/ErgOuDPqpzPjClTd2OqqiI1eaxrWYf+wHuGxoFvetdm3QZF0oBGnOdF5Ncw0SnCbKDnIntE5FcwDcuTmMqrwN1VSj/D1IDbV3j5PV+l9P3M9+cgtLIWkbOAB4G/Ay4HLhWR48De2abtIyz9PYgxDFdjlijeInreuEG6OyQidwAJVd0fshy1rEPXiekV/DbwKSbbnQtEZAdQ0ZJX5NdAHQ6Hw+GIIpFcA3U4HA6HI+o4A+pwOBwORwU4A+pwOBwORwU4A+pwOBwORwU4L9wAROSzwPmYfVwTwCdUdaieMjmKIyKXAZditj58C/gu8GHgceDjmD2ybcCtwE1M6hbgi8CNqnqbl9YfYcJYPoBx9/9KHeNBzwtC0t/fAN8D+lT16zW4jXlHgN6+ivGiTmEOJbkduAL4jqr2lUjzeYy3Phi9LwL+UlV3icgC4AFV3V71m5khzoCW5jZV3SMiG4HfEJGzMSP3uzDbMI4C64AXgHcDt6jqT+ol7HxERN4LfBJoBi4CvgOcA/wQ6AL+FVikqneIyA1MBm64TVX3+NL5LRGJYSp7DNiG2dD/HKYxcAY0BELU34cwbdxeYLuIvAd4SlUfqc2dzW3K0NtujCH9KNALLAWWA2kRudP7zoXedx7GBDdYi+ks7VbVj/nyOhu4GRM9aBsQCR06A1o+u4DPAh/E9IZux2xG/gKwA7PB+zCwHtMDc9SO7ZhKdyWmIr8AvKyqd4vIWky0lZ8TkeWYsHBXA2uA3xeRfuCEqn4K+Damx9yLqaCbMQ3uaRFprvE9zSfC0t9r3vtDwKOq+pAX6SgSje8cIFBv3mjxK8CXMKPQL3q/awGWqOqt3udgdHiPiNyLCYO4WkS+4X32z6r6qIj0eHs534cxpnXHGdDy2QC81/e/XT8ewkzvnsZsznXryrXHRhMZD/jOY94IZi0mSsx+4Df9IxjgUcw0VAvwCUxveYmI7KO6YeQcUwlLfyt8nw3nvTpmT6DeRGQ10KmqnxaRxRjdHGFq5CEbiGDQex3FtKH/q6ofz0vy34Abgb2qWpUoZrPFGdDS3CciA977azBRRSYwh4yHGmzZUTYPA39C8PN8rYiswKyhfQ3TIbpPROwa2p2quk9ERjEVVEXkb4EvA7+E6UU7wiEs/fl///NehKPHqi79/KWU3vYBO0TkOkyn5j7g/Zh4tMdF5EvAJZgDMPJZIyJ/4b1/XVU/g1nP3gVcVrU7mCUuEpHD4XA4aoqIfB7P8KrqjjqLUzHOgDocDofDUQFuvc7hcDgcjgpwBtThcDgcjgpwBtThcDgcjgpwBtThcDgcjgpwBtThcDgcjgpwBtThcDgcjgr4f6flao7LTQ06AAAAAElFTkSuQmCC\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(6.5,8))\n", + "correlations = []\n", + "for i,f in enumerate(all_features):\n", + " if i < 12:\n", + " c = fcolors[0]\n", + " elif i < 16:\n", + " c = fcolors[1]\n", + " else:\n", + " c = fcolors[2]\n", + " ax = plt.subplot(7, 4, i+1)\n", + " ax.spines['top'].set_visible(False)\n", + " ax.spines['right'].set_visible(False)\n", + " sns.scatterplot(x=choices_df[f], y=choices_df[\"nn_diff\"], color=c, alpha=0.1, s=1, ax=ax, rasterized=True)\n", + " if i%4 == 0:\n", + " ax.set_ylabel(\"NN difference\")\n", + " else:\n", + " ax.set_ylabel(\"\")\n", + " r = pearsonr(choices_df.nn_diff.values, choices_df[f].values)[0]\n", + " rl, rh = pearsonr_ci(r, len(choices_df), 0.05)\n", + " correlations.append(r)\n", + " ax.set_title(f\"r={r:.3f}\\n95% CI=[{rl:.3f},{rh:.3f}]\")\n", + "plt.tight_layout()" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "55f77d53", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(7,2))\n", + "plt.bar(range(len(correlations)), np.array(correlations)**2,\n", + " color=[fcolors[0]]*len(base_features)+[fcolors[1]]*len(naive_features)+\n", + " [fcolors[2]]*len(psychological_features),\n", + " yerr=[r_squared_ci(r**2, len(choices_df), 1, 0.05) for r in correlations])\n", + "plt.xticks(range(len(correlations)), all_features, rotation=45)\n", + "plt.ylabel(r\"$R^2$\")\n", + "plt.tight_layout()" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "id": "e76db73b", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Linear Regression between Base and NN_difference\n", + "Baseline MSE: 0.0249, MSE: 0.0220, R^2: 0.1186\n", + "Linear Regression between Base + Naive and NN_difference\n", + "Baseline MSE: 0.0249, MSE: 0.0126, R^2: 0.4932\n", + "Linear Regression between Base + Naive + Psych. and NN_difference\n", + "Baseline MSE: 0.0249, MSE: 0.0106, R^2: 0.5760\n", + "Linear Regression between Base + Naive + Psych. + HOSD and NN_difference\n", + "Baseline MSE: 0.0249, MSE: 0.0103, R^2: 0.5876\n" + ] + } + ], + "source": [ + "for feature_set, name in zip(\n", + " [base_features, base_features+naive_features, all_features, all_features+[\"SOSD\", \"TOSD\"]],\n", + " [\"Base\", \"Base + Naive\", \"Base + Naive + Psych.\", \"Base + Naive + Psych. + HOSD\"]\n", + "):\n", + " baseline, mse, r_squared = fit_linreg(choices_df[feature_set], choices_df.nn_diff)\n", + " print(f\"Linear Regression between {name} and NN_difference\")\n", + " print(f\"Baseline MSE: {baseline:.4f}, MSE: {mse:.4f}, R^2: {r_squared:.4f}\")" + ] + }, + { + "cell_type": "markdown", + "id": "69ecf771", + "metadata": {}, + "source": [ + "## Stochastic Dominance\n", + "Dominance was one of the higher correlated features with the difference in NN predictions, thus we took a closer look at the data with regard to stochastic dominance.\n", + "\n", + "This section reproduces Figure 3." + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "6b5b70b6", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", 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\n", 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "for df, y, s in zip(\n", + " [cpc15_df, choices_df, choices_df], [\"Cogprior_pred\", \"Cogprior_pred\", \"cpc15_nn_noise_model_pp\"], [35,5,5]\n", + "):\n", + " g = sns.JointGrid(\n", + " data=df, x=\"Rate\", y=y, hue=\"Dom\", palette=\"colorblind\", height=2.3, hue_order=[1.0, -1.0, 0.0]\n", + " )\n", + " g.plot_joint(sns.scatterplot, marker=\".\", s=s, rasterized=True)\n", + " g.plot_marginals(sns.histplot, bins=np.linspace(0, 1, 50))" + ] + }, + { + "cell_type": "markdown", + "id": "7a89d618", + "metadata": {}, + "source": [ + "## Feature Correlation\n", + "Some features are very similar to other ones or are containing the same information, thus we calculate the correlation matrix between them.\n", + "\n", + "This section reproduces Figure S4." + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "b059fcf3", + "metadata": {}, + "outputs": [], + "source": [ + "feature_corr_matrix = np.zeros((len(all_features)+2,len(all_features)+2))\n", + "for i,f1 in enumerate(all_features+[\"SOSD\", \"TOSD\"]):\n", + " for j,f2 in enumerate(all_features+[\"SOSD\", \"TOSD\"]):\n", + " r = pearsonr(choices_df[f1], choices_df[f2])[0]\n", + " feature_corr_matrix[i,j] = r" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "f1b5d1c4", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(3.5,3.5))\n", + "plt.imshow(feature_corr_matrix, vmin=-1, vmax=1, cmap=\"seismic\")\n", + "plt.yticks(range(len(all_features)+2), all_features+[\"SOSD\", \"TOSD\"])\n", + "plt.xticks(range(len(all_features)+2), all_features+[\"SOSD\", \"TOSD\"], rotation=90)\n", + "for x in [11, 15, 27]:\n", + " plt.axhline(x+.5, c=\"k\")\n", + " plt.axvline(x+.5, c=\"k\")\n", + "plt.tight_layout()" + ] + }, + { + "cell_type": "markdown", + "id": "2019bcc0", + "metadata": {}, + "source": [ + "## SHAP analysis" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "58266e16", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.8.10" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/NNs.ipynb b/NNs.ipynb new file mode 100644 index 0000000..8b1d613 --- /dev/null +++ b/NNs.ipynb @@ -0,0 +1,266 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "4438df4a", + "metadata": {}, + "source": [ + "# TITLE - NNs\n", + "This notebook gives small examples how to work with the NN models introduced in this paper." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "d2870fb2", + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import pandas as pd\n", + "\n", + "# add the src folder to the python path to import the classes there\n", + "import sys\n", + "sys.path.append(\"./src/\")\n", + "from cognitive_prior_network import CognitivePriorNetwork\n", + "from context_dependant_network import ContextDependantNetwork" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "3fd2e055", + "metadata": {}, + "outputs": [], + "source": [ + "base_features = [\"Ha\", \"pHa\", \"La\", \"Hb\", \"pHb\", \"Lb\", \"LotNumB\",\n", + " \"LotShapeB\", \"Corr\", \"Amb\", \"Block\", \"Feedback\"]" + ] + }, + { + "cell_type": "markdown", + "id": "a3cd0211", + "metadata": {}, + "source": [ + "## Using pretrained models" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "24d16eab", + "metadata": {}, + "outputs": [], + "source": [ + "# initialize the class and then load the weights from a location\n", + "nn_cpc15 = CognitivePriorNetwork()\n", + "nn_cpc15.load(\"models/cpc_bourgin_prior\")\n", + "\n", + "# load a dataset to use the model on\n", + "choices_df = pd.read_csv(\"data/choices13k.csv\")\n", + "\n", + "# prediction just works with predict, when extracting the right features\n", + "nn_cpc15_predictions = nn_cpc15.predict(choices_df[base_features])" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "93ad9634", + "metadata": {}, + "outputs": [], + "source": [ + "# these are also the values which were precomputed\n", + "np.max(np.abs(choices_df.cpc15_cog_prior_pred - nn_cpc15_predictions.flatten()))" + ] + }, + { + "cell_type": "markdown", + "id": "f42a9504", + "metadata": {}, + "source": [ + "## Training new models\n", + "We show the code now once for training a cognitive prior network model on choices13k, because more models are able to fit the dataset. To fit models on CPC15, more patience and more pretraining is what helped for us. Models without pretraining have not worked at all for us on CPC15.\n", + "\n", + "### Training imports" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "670edc84", + "metadata": {}, + "outputs": [], + "source": [ + "from hyperopt import pyll, hp, STATUS_OK, fmin, tpe, Trials\n", + "import pickle\n", + "import os" + ] + }, + { + "cell_type": "markdown", + "id": "b8f0c35e", + "metadata": {}, + "source": [ + "### Data loading" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "71bd4846", + "metadata": {}, + "outputs": [], + "source": [ + "def split_xy(dataframe):\n", + " y = dataframe[\"Rate\"].values.astype(np.float32)\n", + " X = dataframe[base_features].values.astype(np.float32)\n", + " return X, y" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "a9fdf991", + "metadata": {}, + "outputs": [], + "source": [ + "synth15_df = pd.read_csv(\"data/synth15.csv\")\n", + "X_synth15, y_synth15 = split_xy(synth15_df)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "fd84bc95", + "metadata": {}, + "outputs": [], + "source": [ + "cpc15_df = pd.read_csv(\"data/cpc15.csv\", index_col=0)\n", + "X_cpc15_train, y_cpc15_train = split_xy(cpc15_df.iloc[:450])\n", + "X_cpc15_test, y_cpc15_test = split_xy(cpc15_df.iloc[450:])" + ] + }, + { + "cell_type": "markdown", + "id": "c9736e2c", + "metadata": {}, + "source": [ + "### Pretraining - Hyperparameter Optimization\n", + "Pretrain multiple models in a principled way.\n", + "\n", + "Every set of parameters gets evaluated with 5 different random seeds. All Models and their corresponding validation loss history get saved under `../models/wide_pretraining`, so make sure you have created this folder on your system." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "13f3bf59", + "metadata": {}, + "outputs": [], + "source": [ + "# We optimize pretraining over the batch size during training\n", + "# as well as over two parameters deciding the connectivity and the rate of change of the network\n", + "hyperparams = {\n", + " 'batch_size': hp.uniformint('batch_size', 300, 1500),\n", + " 'epsilon': hp.uniformint('eps', 10, 100),\n", + " 'zeta': hp.uniform('zeta', 0.2, 0.8)\n", + "}\n", + "\n", + "def f(space):\n", + " l = np.inf\n", + " for i in range(5):\n", + " cognitive_model = CognitivePriorNetwork(input_shape=12, batch_size=space['batch_size'],\n", + " epsilon=space['epsilon'], zeta=space['zeta'])\n", + " cognitive_model.X_test = X_cpc15_train\n", + " cognitive_model.y_test = y_cpc15_train\n", + " cognitive_model.fit(X_synth15, y_synth15, verbose=0, epochs=300, patience=300)\n", + " cognitive_model.save('../models/wide_pretraining/bs_%d_eps_%d_zeta_%.4f_iter_%d'%\n", + " (space['batch_size'], space['epsilon'], space['zeta'], i))\n", + " \n", + " loss = np.min(cognitive_model.loss_per_epoch)\n", + " if loss < l:\n", + " l = loss\n", + " print('done searching combination: batch_size: %d, epsilon: %d, zeta %.4f'%\n", + " (space['batch_size'], space['epsilon'], space['zeta']))\n", + " return {'loss': l, 'status': STATUS_OK}\n", + "\n", + "# these optimizations can be interrupted and continue\n", + "# just pickle the trials object if the current run was interrupted\n", + "if os.path.isfile(\"models/cpc15_prior_training.hyperopt\"):\n", + " trials = pickle.load(open(\"models/cpc15_prior_training.hyperopt\", \"rb\"))\n", + "else:\n", + " trials = Trials()\n", + "\n", + "best = fmin(\n", + " fn=f, # \"Loss\" function to minimize\n", + " space=hyperparams, # Hyperparameter space\n", + " algo=tpe.suggest, # Tree-structured Parzen Estimator (TPE)\n", + " max_evals=50, # Amount of trials to perform \n", + " trials=trials\n", + ")" + ] + }, + { + "cell_type": "markdown", + "id": "4275837f", + "metadata": {}, + "source": [ + "### Finetuning\n", + "Finetuning on the other hand is much simpler. We stay with the same batch size, adapt the learning rate to a lower value and do not have to fit the SET parameters anymore. The only thing that we changed between CPC15 and choices13k is the number of episodes. With CPC15, you need much more and somewhere in that training process the random SET procedure can help you to make that last jump to the loss you see in our and Bourgin et al.'s Paper." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "b9ff2296", + "metadata": {}, + "outputs": [], + "source": [ + "# insert name of the pretrained model as well as the batch size\n", + "pre_trained = CognitivePriorNetwork(input_shape=12, batch_size=X)\n", + "pre_trained.load(\"../models/wide_pretraining/...\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "4f65ee06", + "metadata": { + "scrolled": true + }, + "outputs": [], + "source": [ + "pre_trained.X_test = X_cpc15_test\n", + "pre_trained.y_test = y_cpc15_test\n", + "pre_trained.fit(X_cpc15_train,\n", + " y_cpc15_train,\n", + " learning_rate=1e-6, \n", + " verbose=1, \n", + " epochs=3000, # for choices13k, you only need 100 episodes \n", + " patience=3000)" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.8.10" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/README.md b/README.md new file mode 100644 index 0000000..28c59d3 --- /dev/null +++ b/README.md @@ -0,0 +1,26 @@ +# Title +This is the official repository, containing code and data for the paper (title) (currently under review). + +![Explanatory Figure](figure1.pdf) + +## Data +All three ([CPC15](https://economics.agri.huji.ac.il/crc2015/raw-data), [CPC18](https://cpc-18.com/data/) and [choices13k](https://github.com/jcpeterson/choices13k)) datasets used in this study were already publicly available before (click on the names, to see more). +Aggregate versions (containing no individual data anymore), with additional features and some utility columns are stored in the [data folder](./data/). + +## Analysis +The [Analysis notebook](./Analysis.ipynb) shows how to reproduce many of the plots and analysis done in the paper. + +## Models +Pretrained models (under the name that they were shown in Table 1 in the paper) are stored in the [models folder](./models). +The [models notebook](./NNs.ipynb) gives simple examples how to load, save and train the NN models discussed in the paper. +The underlying source code for them is in the [src folder](./src). + +## Usage +To use the notebooks and reproduce our results, install the conda environment, using +``` +conda env create -f environment.yml +conda activate DecisionMaking +``` + +## Citation +The paper is currently under reiew. diff --git a/data/choices13k.csv b/data/choices13k.csv new file mode 100644 index 0000000..bd73ec3 --- /dev/null +++ b/data/choices13k.csv @@ -0,0 +1,14569 @@ 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+42,0.4,0,23,0.1,17,7,3,0,0,1,0,0.782299999999974 +42,0.4,0,23,0.1,17,7,3,0,0,2,1,0.70869999999998 +42,0.4,0,23,0.1,17,7,3,0,0,3,1,0.664399999999986 +42,0.4,0,23,0.1,17,7,3,0,0,4,1,0.656099999999987 +42,0.4,0,23,0.1,17,7,3,0,0,5,1,0.646399999999989 diff --git a/environment.yml b/environment.yml new file mode 100644 index 0000000..b788323 --- /dev/null +++ b/environment.yml @@ -0,0 +1,27 @@ +name: DecisionMaking +dependencies: + - pip + - pip: + - hyperopt==0.2.3 + - lime==0.2.0.1 + - nbval + - nbdime + - python-dotenv>=0.5.1 + - shap==0.37.0 + - tensorflow==2.3.0 + - echoAI==0.1.3 + - keras==2.4.3 + - setuptools + - wheel + - git>=2.5 # for git worktree template updating + - click + - jupyter + - scikit-learn + - joblib==0.15.1 + - nb_conda_kernels<2.2.0 # nb_conda_kernels issue #158 + - pandas + - requests + - pathlib + - python=3.7 + - seaborn==0.11.0 + - plotly==4.14.1 diff --git a/figure1.pdf b/figure1.pdf new file mode 100644 index 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zqxYhWsoMxG{Jx?bR<0wDbPzX!mJ{EfUfeR!6o!V*WnosM zaLBm~eEuYnoD=&V_U@MEe|DY15fb z8w3KYRA&GFF?&+=NyC|EksRdsf23iNb0(;Spc=0pc&O4i1S3_YCv*3h@;l sbyReh6JPTU30oZ~HmMzRw09SuuSi7shI= prob] = 1 + noParameters = np.sum(mask_weights) + return [noParameters, mask_weights] + + +class CognitivePriorNetwork(): + X_test = None + y_test = None + + def __init__(self, input_shape=12, batch_size=100, epsilon=20, zeta=0.3): + self.input_shape = input_shape + # set model parameters + self.batch_size = batch_size # batch size + # self.maxepoches = 50 # max number of epochs + + self.epsilon = epsilon # control the sparsity level as discussed in the paper + self.zeta = zeta # the fraction of the weights removed + + # generate an Erdos Renyi sparse weights mask for each layer + [self.noPar1, self.wm1] = createWeightsMask(self.epsilon, self.input_shape, 200) + [self.noPar2, self.wm2] = createWeightsMask(self.epsilon, 200, 275) + # Original code did not make sense for this one + [self.noPar3, self.wm3] = createWeightsMask(self.epsilon, 275, 100) + + # initialize layers weights + self.w1 = None + self.w2 = None + self.w3 = None + self.w4 = None + + # initialize weights for SReLu activation function + self.wSRelu1 = None + self.wSRelu2 = None + self.wSRelu3 = None + + # create a SET-MLP model + self.create_model() + + def __str__(self): + return 'Cognitive Prior Network' + + def create_model(self): + # create a SET-MLP model + self.model = Sequential() + self.model.add(Input((self.input_shape,))) # Input shape correct? + self.model.add(Dense(200, name="sparse_1", kernel_constraint=MaskWeights(self.wm1), weights=self.w1)) + self.model.add(SReLU(name="srelu1", weights=self.wSRelu1)) + self.model.add(Dropout(0.15)) + self.model.add(Dense(275, name="sparse_2", kernel_constraint=MaskWeights(self.wm2), weights=self.w2)) + self.model.add(SReLU(name="srelu2", weights=self.wSRelu2)) + self.model.add(Dropout(0.15)) + self.model.add(Dense(100, name="sparse_3", kernel_constraint=MaskWeights(self.wm3), weights=self.w3)) + self.model.add(SReLU(name="srelu3", weights=self.wSRelu3)) + self.model.add(Dropout(0.15)) + self.model.add(Dense(1, name="dense_4", weights=self.w4)) + # Please note that there is no need for a sparse output layer as the number of classes is much smaller + # than the number of input hidden neurons + self.model.add(Activation('sigmoid')) + + def fit(self, trainingData, outputData, learning_rate=0.001, verbose=2, patience=10, epochs=50, checkpoint=None, + save_path=None): + + # RMSPRop learning rate + # Train the SET-MLP model + if verbose >= 1: + self.model.summary() + + # training process in a for loop + self.loss_per_epoch = [] + + # best_weights to store the weights at which the minimum loss occurs. + self.best_model = None + # The number of epoch it has waited when loss is no longer minimum. + wait = 0 + # The epoch the training stops at. + best_epoch = 0 + # Initialize the best as infinity. + best = np.inf + + log_dir = f"../logs/{datetime.now().strftime('%Y%m%d-%H%M%S')}-epsilon_{self.epsilon}-zeta_{self.zeta}" + tensorboard_callback = tf.keras.callbacks.TensorBoard( + log_dir=log_dir, + histogram_freq=1) + + for epoch in range(0, epochs): + rmsprop = RMSprop(lr=learning_rate) + self.model.compile(loss='mean_squared_error', optimizer=rmsprop) + + historytemp = self.model.fit(x=trainingData, + y=outputData, + batch_size=self.batch_size, + epochs=epoch, + validation_data=(self.X_test, self.y_test), + initial_epoch=epoch - 1, + verbose=verbose, + callbacks=[tensorboard_callback]) + current_loss = historytemp.history['val_loss'][0] + self.loss_per_epoch.append(current_loss) + + if np.less(current_loss, best): + best = current_loss + wait = 0 + # Record the best weights if current results is better (less). + self.best_model = self.get_model_params() + best_epoch = epoch + + else: + wait += 1 + if wait >= patience: + print("Stopped training at epoch {}.".format(epoch)) + print("Restoring model weights from the end of the best epoch {}.".format(best_epoch)) + self.set_model_params(self.best_model) + break + + # Ugly hack to avoid tensorflow memory increase for multiple fit_generator calls. + # We are not using fit_generator, so we might not need to clear the session. + self.weightsEvolution() + K.clear_session() + self.create_model() + + # also reset to best model after last iteration + print("Restoring model weights from the end of the best epoch {}.".format(best_epoch)) + self.set_model_params(self.best_model) + + self.loss_per_epoch = np.asarray(self.loss_per_epoch) + if save_path: + self.save("%s/best_model" % save_path) + + def weightsEvolution(self): + # this represents the core of the SET procedure. It removes the weights closest to zero in each layer and add new random weights + self.w1 = self.model.get_layer("sparse_1").get_weights() + self.w2 = self.model.get_layer("sparse_2").get_weights() + self.w3 = self.model.get_layer("sparse_3").get_weights() + self.w4 = self.model.get_layer("dense_4").get_weights() + + self.wSRelu1 = self.model.get_layer("srelu1").get_weights() + self.wSRelu2 = self.model.get_layer("srelu2").get_weights() + self.wSRelu3 = self.model.get_layer("srelu3").get_weights() + + [self.wm1, self.wm1Core] = self.rewireMask(self.w1[0], self.noPar1) + [self.wm2, self.wm2Core] = self.rewireMask(self.w2[0], self.noPar2) + [self.wm3, self.wm3Core] = self.rewireMask(self.w3[0], self.noPar3) + + self.w1[0] = self.w1[0] * self.wm1Core + self.w2[0] = self.w2[0] * self.wm2Core + self.w3[0] = self.w3[0] * self.wm3Core + + def rewireMask(self, weights, noWeights): + # rewire weight matrix + + # remove zeta largest negative and smallest positive weights + values = np.sort(weights.ravel()) + firstZeroPos = find_first_pos(values, 0) + lastZeroPos = find_last_pos(values, 0) + largestNegative = values[int((1 - self.zeta) * firstZeroPos)] + smallestPositive = values[ + int(min(values.shape[0] - 1, lastZeroPos + self.zeta * (values.shape[0] - lastZeroPos)))] + rewiredWeights = weights.copy(); + rewiredWeights[rewiredWeights > smallestPositive] = 1; + rewiredWeights[rewiredWeights < largestNegative] = 1; + rewiredWeights[rewiredWeights != 1] = 0; + weightMaskCore = rewiredWeights.copy() + + # add zeta random weights + nrAdd = 0 + noRewires = noWeights - np.sum(rewiredWeights) + while (nrAdd < noRewires): + i = np.random.randint(0, rewiredWeights.shape[0]) + j = np.random.randint(0, rewiredWeights.shape[1]) + if (rewiredWeights[i, j] == 0): + rewiredWeights[i, j] = 1 + nrAdd += 1 + + return [rewiredWeights, weightMaskCore] + + def get_model_params(self, after_pruning=False): + w1 = self.model.get_layer("sparse_1").get_weights() + w2 = self.model.get_layer("sparse_2").get_weights() + w3 = self.model.get_layer("sparse_3").get_weights() + w4 = self.model.get_layer("dense_4").get_weights() + + wSRelu1 = self.model.get_layer("srelu1").get_weights() + wSRelu2 = self.model.get_layer("srelu2").get_weights() + wSRelu3 = self.model.get_layer("srelu3").get_weights() + if after_pruning: + [_, wm1Core] = self.rewireMask(w1[0], self.noPar1) + [_, wm2Core] = self.rewireMask(w2[0], self.noPar2) + [_, wm3Core] = self.rewireMask(w3[0], self.noPar3) + masks = [wm1Core, wm2Core, wm3Core] + else: + masks = [self.wm1, self.wm2, self.wm3] + weights_layers = [w1, w2, w3, w4] + weights_activation = [wSRelu1, wSRelu2, wSRelu3] + parameter_counts = [self.noPar1, self.noPar2, self.noPar3] + model = {"masks": masks, + "weights_layers": weights_layers, + "weights_activation": weights_activation, + "parameter_counts": parameter_counts, + "input_shape": self.input_shape, + "epsilon": self.epsilon, + "zeta": self.zeta} + return model + + def set_model_params(self, model): + [self.wm1, self.wm2, self.wm3] = model['masks'] + [self.w1, self.w2, self.w3, self.w4] = model['weights_layers'] + [self.wSRelu1, self.wSRelu2, self.wSRelu3] = model['weights_activation'] + [self.noPar1, self.noPar2, self.noPar3] = model['parameter_counts'] + self.input_shape = model['input_shape'] + self.epsilon = model['epsilon'] + self.zeta = model['zeta'] + K.clear_session() + self.create_model() + + def save(self, filepath): + model = self.get_model_params() + pickle.dump(model, open(filepath, "wb+")) + + def load(self, filepath): + model = pickle.load(open(filepath, "rb")) + if any(k not in model for k in ("masks", + "weights_layers", + "weights_activation", + "parameter_counts", + "input_shape", + "epsilon", + "zeta")): + raise ValueError("Not valid model pickle") + self.set_model_params(model) + + def predict(self, X, batch_size=2000): + return self.model.predict(X, batch_size=batch_size) + + def evaluate(self, X, y, batch_size=2000): + y_pred = self.model.predict(X, batch_size=batch_size) + loss = tf.keras.losses.mean_squared_error(y_pred, y) + return 100 * np.mean(loss) diff --git a/src/context_dependant_network.py b/src/context_dependant_network.py new file mode 100644 index 0000000..725e5fb --- /dev/null +++ b/src/context_dependant_network.py @@ -0,0 +1,87 @@ +import numpy as np +import pandas as pd +import pickle +from tensorflow.keras.models import Sequential +from tensorflow.keras.layers import Input, Dense + +from src.features.CPC18_getDist import CPC18_getDist + +_lot_shape_dict = { + 0: "-", + 1: "Symm", + 2: "L-skew", + 3: "R-skew", + "-": "-", + "Symm": "Symm", + "L-skew": "L-skew", + "R-skew": "R-skew" +} + +def build_cd_input_format(classic_format): + N = len(classic_format) + gambles = np.zeros((N,24)) + if isinstance(classic_format, pd.DataFrame): + for i in range(N): + g = classic_format.iloc[i] + a_payoff_dist = CPC18_getDist(g.Ha, g.pHa, g.La, "-", 0).ravel() + gambles[i, 0:len(a_payoff_dist)] = a_payoff_dist + b_payoff_dist = CPC18_getDist( + g.Hb, g.pHb, g.Lb, _lot_shape_dict[g.LotShapeB], int(g.LotNumB) + ).ravel() + gambles[i, 4:4+len(b_payoff_dist)] = b_payoff_dist + elif isinstance(classic_format, np.ndarray): + assert classic_format.shape[1] == 12 + for i in range(N): + g = classic_format[i, :] + a_payoff_dist = CPC18_getDist(g[0], g[1], g[2], "-", 0).ravel() + gambles[i, 0:len(a_payoff_dist)] = a_payoff_dist + b_payoff_dist = CPC18_getDist( + g[3], g[4], g[5], _lot_shape_dict[g[7]], int(g[6]) + ).ravel() + gambles[i, 4:4+len(b_payoff_dist)] = b_payoff_dist + else: + raise ValueError("Input can only be a numpy array or pandas DataFrame") + return gambles + +class ContextDependantNetwork: + + def __init__(self): + self.model = Sequential() + self.model.add(Input(24,)) + self.model.add(Dense(32, activation="sigmoid")) + self.model.add(Dense(32, activation="sigmoid")) + self.model.add(Dense(1, activation="sigmoid")) + + def train(self, X_train, y_train, **kwargs): + self.model.compile(loss="mean_squared_error", optimizer="adam") + return self.model.fit( + x=X_train, + y=y_train, + **kwargs + ) + + def save(self, save_path): + weights = dict() + for i,l in enumerate(self.model.layers): + w = l.get_weights() + weights[f"w{i}"] = w + pickle.dump(weights, open(save_path, "wb+")) + + def load(self, path): + weights = pickle.load(open(path, "rb")) + for k,v in weights.items(): + lay_num = int(k[-1]) + self.model.layers[lay_num].set_weights(v) + + def predict(self, gambles): + if gambles.shape[1] == 12: + return self.model.predict(build_cd_input_format(gambles)) + elif gambles.shape[1] == 24: + return self.model.predict(gambles) + else: + raise ValueError("Gambles need to be either in classical format 12 \ + features or in Peterson format 24 features") + + def evaluate(self, gambles, rates): + rates_pred = self.predict(gambles).ravel() + return np.mean((rates_pred - rates.ravel()) ** 2) * 100

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