{ "cells": [ { "cell_type": "markdown", "id": "83b05792", "metadata": {}, "source": [ "# Shifted Beta Geometric model with individual customer data" ] }, { "cell_type": "markdown", "id": "3913b9b2", "metadata": {}, "source": [ "In this notebook we replicate the main results and figures from \n", "\n", "Fader, P. S., & Hardie, B. G. (2007). How to project customer retention. Journal of Interactive Marketing, 21(1), 76-90. https://journals.sagepub.com/doi/pdf/10.1002/dir.20074\n", "\n", "The authors describe the Shifted Beta Geometric (sBG) model for customer behavior in a discrete contractual setting. It assumes that:\n", " * At the end of each period, a customer has a probability `theta` of renewing the contract\n", " and `1-theta` of cancelling\n", " * The probability `theta` does not change over time for a given customer\n", " * The probability `theta` varies across customers according to a Beta prior distribution\n", " with hyperparameters `alpha` and `beta`." ] }, { "cell_type": "code", "execution_count": 1, "id": "5a4844d3", "metadata": {}, "outputs": [], "source": [ "import arviz as az\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pandas as pd\n", "import xarray as xr" ] }, { "cell_type": "code", "execution_count": 2, "id": "ed08c432", "metadata": {}, "outputs": [], "source": [ "from pymc_marketing import clv" ] }, { "cell_type": "code", "execution_count": 3, "id": "ea81ddb8", "metadata": {}, "outputs": [], "source": [ "az.style.use(\"arviz-darkgrid\")" ] }, { "cell_type": "markdown", "id": "928b7701", "metadata": {}, "source": [ "## Recreating the dataset" ] }, { "cell_type": "markdown", "id": "8b54f141", "metadata": {}, "source": [ "The dataset contains the percentage of customers still enrolled in the service after each time period. There are two distinct groups of users: regular and high-end, believed to have different attrition rates. Each group had 1000 customers at the start.\n", "\n", "As in the original paper, we will fit the data from the first 7 time periods only, and use the following periods for validation." ] }, { "cell_type": "code", "execution_count": 4, "id": "fa6b1dae", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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" ], "text/plain": [ " regular highend\n", "0 100.0 100.0\n", "1 63.1 86.9\n", "2 46.8 74.3\n", "3 38.2 65.3\n", "4 32.6 59.3\n", "5 28.9 55.1\n", "6 26.2 51.7\n", "7 24.1 49.1\n", "8 22.3 46.8\n", "9 20.7 44.5\n", "10 19.4 42.7\n", "11 18.3 40.9\n", "12 17.3 39.4" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df = pd.DataFrame({\n", " \"regular\": [100.0, 63.1, 46.8, 38.2, 32.6, 28.9, 26.2, 24.1, 22.3, 20.7, 19.4, 18.3, 17.3],\n", " \"highend\": [100.0, 86.9, 74.3, 65.3, 59.3, 55.1, 51.7, 49.1, 46.8, 44.5, 42.7, 40.9, 39.4],\n", "})\n", "df" ] }, { "cell_type": "markdown", "id": "4208bfb6", "metadata": {}, "source": [ "The implemented pymc-marketing model fits each individual `theta`, \n", "in contrast to the paper approach where the inidividual parameters are marginalized out.\n", "\n", "For our analysis we wil have to create a synthetic dataset with individual data, following the aggregate group trends." ] }, { "cell_type": "code", "execution_count": 5, "id": "9c8b6292", "metadata": {}, "outputs": [], "source": [ "def individual_data_from_percentage_alive(percentage_alive, initial_customers):\n", " n_alive = np.asarray(percentage_alive / 100 * initial_customers, dtype=int)\n", "\n", " died_at = np.zeros((initial_customers,), dtype=int)\n", " counter = 0\n", " for t, diff in enumerate((n_alive[:-1] - n_alive[1:]), start=1):\n", " died_at[counter:counter+diff] = t\n", " counter += diff\n", "\n", " censoring_t = t+1\n", " died_at[counter:] = censoring_t\n", "\n", " return died_at" ] }, { "cell_type": "code", "execution_count": 6, "id": "ac8a4ec2", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n", " 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2,\n", " 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4,\n", " 4, 4, 5, 5, 5, 5, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8,\n", " 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8])" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "T = 8 # In the paper only the first 7 years are included in the model\n", "\n", "truncated_df = df[:T]\n", "initial_customers = 1000 # Seems to be what F&H use, according to Appendix B\n", "churn_highend = individual_data_from_percentage_alive(truncated_df[\"highend\"], initial_customers)\n", "churn_regular = individual_data_from_percentage_alive(truncated_df[\"regular\"], initial_customers)\n", "churn_regular[::10]" ] }, { "cell_type": "markdown", "id": "df41d457", "metadata": {}, "source": [ "Customers which haven't churned have `t_churn == T == 8`. \n", "The model will handle these differently, as their lifetimes are [censored](https://en.wikipedia.org/wiki/Censoring_(statistics))." ] }, { "cell_type": "markdown", "id": "64f004e9", "metadata": {}, "source": [ "## Fitting the sBG models for high end and regular users" ] }, { "cell_type": "code", "execution_count": 7, "id": "b4465019", "metadata": {}, "outputs": [], "source": [ "dataset_highend = pd.DataFrame({\n", " 'customer_id': np.arange(initial_customers),\n", " 't_churn': churn_highend,\n", " 'T': T,\n", "})" ] }, { "cell_type": "code", "execution_count": 8, "id": "c6b57694", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Shifted-Beta-Geometric Model (Individual Customers)\n", " alpha ~ HalfFlat()\n", " beta ~ HalfFlat()\n", " theta ~ Beta(alpha, beta)\n", "churn_censored ~ Censored(Geometric(theta), -inf, )" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "highend_users = clv.ShiftedBetaGeoModelIndividual(\n", " data = dataset_highend\n", ")\n", "highend_users.build_model()\n", "highend_users" ] }, { "cell_type": "code", "execution_count": 9, "id": "27a69d38", "metadata": {}, "outputs": [], "source": [ "dataset_regular = pd.DataFrame({\n", " 'customer_id': np.arange(initial_customers),\n", " 't_churn': churn_regular,\n", " 'T': T,\n", "})" ] }, { "cell_type": "code", "execution_count": 10, "id": "658b7f32", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Shifted-Beta-Geometric Model (Individual Customers)\n", " alpha ~ HalfFlat()\n", " beta ~ HalfFlat()\n", " theta ~ Beta(alpha, beta)\n", "churn_censored ~ Censored(Geometric(theta), -inf, )" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "regular_users = clv.ShiftedBetaGeoModelIndividual(\n", " data = dataset_regular\n", ")\n", "regular_users.build_model()\n", "regular_users" ] }, { "cell_type": "code", "execution_count": 11, "id": "90456dbd", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Auto-assigning NUTS sampler...\n", "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (4 chains in 4 jobs)\n", "NUTS: [alpha, beta, theta]\n" ] }, { "data": { "text/html": [ "\n", "\n" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "\n", "
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meansdhdi_3%hdi_97%mcse_meanmcse_sdess_bulkess_tailr_hat
alpha0.7400.1310.5290.9900.0120.009122.0166.01.02
beta4.3691.0042.7656.2360.0910.066129.0191.01.02
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" ], "text/plain": [ " mean sd hdi_3% hdi_97% mcse_mean mcse_sd ess_bulk ess_tail \\\n", "alpha 0.740 0.131 0.529 0.990 0.012 0.009 122.0 166.0 \n", "beta 4.369 1.004 2.765 6.236 0.091 0.066 129.0 191.0 \n", "\n", " r_hat \n", "alpha 1.02 \n", "beta 1.02 " ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "highend_users.fit_summary(var_names=[\"alpha\", \"beta\"])" ] }, { "cell_type": "code", "execution_count": 14, "id": "3d8d4a64", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "az.plot_posterior(\n", " highend_users.fit_result,\n", " var_names=[\"alpha\", \"beta\"],\n", " ref_val=ref_val[\"highend\"]\n", ");" ] }, { "cell_type": "code", "execution_count": 15, "id": "da731d08", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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meansdhdi_3%hdi_97%mcse_meanmcse_sdess_bulkess_tailr_hat
alpha0.7290.0710.6050.8680.0050.004171.0555.01.03
beta1.2440.1670.9371.5500.0130.009157.0478.01.03
\n", "
" ], "text/plain": [ " mean sd hdi_3% hdi_97% mcse_mean mcse_sd ess_bulk ess_tail \\\n", "alpha 0.729 0.071 0.605 0.868 0.005 0.004 171.0 555.0 \n", "beta 1.244 0.167 0.937 1.550 0.013 0.009 157.0 478.0 \n", "\n", " r_hat \n", "alpha 1.03 \n", "beta 1.03 " ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "regular_users.fit_summary(var_names=[\"alpha\", \"beta\"])" ] }, { "cell_type": "code", "execution_count": 16, "id": "94b7c6c2", "metadata": {}, "outputs": [ { "data": { "image/png": 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S/z4hYQIAAACKw85dRv943r7evvIK6ZLh5CpFrUF9S9debW+/8ZaRz0d+AwBAUaAYBKDUOXbM6LeZ9vYVl5FcFYRlWbo7c3bQ9z9Khw6RMAEAAABFKTXV6C9PGqWkSB3aSw/eR65SXG652VKVKtLOXdKESeGOBgCAyEAxCECp88NkyeezZ7q0akmCVVBdu0gdO0her/TZFxSDAAAAgKJijNHz/zTavkOqUUN67u+W3G5yleISH2/prjvs7/fDj41OnCC/AQDgXFEMAlCqBAJG3/1gX+gzK6hwLMvSbbfY39l330uHWTsIAAAAKBKffi7NnCW5XHYhqHp1cpXidslwqXkzKTlZGvsZuQ0AAOeKYhCAUmX5CmnfPqlCBWno4HBHU/Z0O09q307yeKRxzA4CAAAAztnSZUbvf2BfW//xYUvt21EIKglOp6W7f2d/1xMnSYcPk98AAHAuKAYBKFV+/Mm+wD9/iBQTQ5JVWDlnB036Tjp6lIQJAAAAOFtHjxr9/VmjQEAafrF02SXkKCWpZw97fSaPR/qE2UEAAJwTikEASo3kZKPfZtrbI4aTZJ2tHt3t9ZYyMqRxX5IwAQAAAGfD7zf6x/NGR45KTRpLf3yIHKWkWZalO2/PbIX9g7T/APkNAABni2IQgFJj2gy7gNGksdSmdbijKbssy9LtmbODJn4rHTtOwgQAAAAU1iefSYuXSDEx0rN/t+hcECbndbXUpbPk9UpjPyW3AQDgbFEMAlBq/DjZvrAfMdySZZFonYtePaXWraT0dOkLZgcBAAAAhbJ+g9FHH9vX0X/6g6XGjchPwilrdtCPk6U9e8lvAAA4GxSDAJQKW7cZrV0nOZ3SsAvCHU3ZZ1mWbs2cHTRhkpR0koQJAAAAKAiPx+j5F438AWnoYOniYRSCwq1TR0s9ukt+v/TlV+Q2AACcDYpBAEqFyT/ZF/R9ektVq5JsFYW+vaVmTaW0NOnb78IdDQAAAFA2fPQ/o23bpapVpT+wTlCpMeqGzNlBP0nHaYUNAEChUQwCEHY+n9HPU+3tEcNJtoqKZVm68Xr7+/x6vFFGBgkTAAAAcDpr1hp9Ns7efuSPlqpUIT8pLbp2kVq2tNeZncRgNwAACo1iEICwmztPOn5cql5N6tUj3NFElqFDpNq1paPHFCy4AQAAAMgrI8PohX8aBQLShedLA/tTCCpNLMvSDSPtczJ+AoPdAAAoLFe4AwCAHzNbxA0bJrlcJFxFyeWyNHTwVn0ydoz+9eIy/fv/UtWgQQNdeumluu666+RwFHxMwD333KNly5addh/LsjRv3rzg/aSkJH366adau3atdu/erWPHjkmS6tatqz59+ujmm29WlSpVzuqzAQAAAEVpzIdGO3bag9QefpC8pCT4/X7NmDFDa9eu1dq1a7V+/Xqlp6dr+PDheuqpp/LsP3ig9M570oED9mC3yy8NfX779u2aNWuW5s+fry1btig5OVmVK1dWhw4ddMMNN6hz584l88EAACiFKAYBCKsjR4zmz7e3R1xEwlXUVq1apS/H3S8TyJCx2qp16wTt2bNcr776qlatWqXnnntOllWw7713795KSEjI97kNGzZoy5YteZKrQ4cOaezYsapUqZKaNm2q9u3bKzU1VevWrdNnn32mqVOn6t1331XdunXP9aMCAAAAZ23deqMvvrK3//yIpUqVyE1KQmpqqp588skC7+9yWRp5jfT6W0ZffGV06QjJ4cg+Vw888IAOHTqkuLg4tWvXTpUqVdL27ds1c+ZMzZo1Sw899JCuv/764vgoAACUehSDAITVL9Mkf0Bq305q1IiEqyj5fD49/fTTysjIUM9eD2rJ8utlHNJXX6Xp4Ycf1rRp09S7d29dcsklBTre6NGjT/nc7bffLkm66KKLQh6vXbu2Pv74Y7Vs2TJkFlJGRob++c9/6qefftIbb7yhF1988Sw+IQAAAHDu/H6jf//HyBi7PVy/PuQlJcXlcuniiy9W69at1bZtW+3YsUPPPffcaV9zyQjpw/9Ju3ZJ8xdIfXpnP9eoUSPde++9GjJkiKKjo4OPT5w4Uf/617/0xhtvqGfPnmrSpElxfSQAAEot1gwCEFZTf8lsEXchCVdR++2337R37161aNFCzzx9g6KipHXrpQ0b4/SnP/1JkjRu3Lhzfp+dO3dq7dq1io6O1tChQ0Oei4+PV+vWrfO0o4uOjtY999wjSVqyZMk5xwAAAACcre9/lNZvkCpUkO67h7ykJMXGxurpp5/WyJEj1aFDh5ACzqnExVkacbG9/e33oesGvfnmm7r44ovzHOfKK69Uz5495ff7NW3atCKLHwCAsoSZQQDCZus2o42bJJdLGjLozPvv3btXV111lbp06aJXXnlF7777rqZPn64TJ06oUaNGuuuuu9S/f39J0rRp0/TZZ59p69atio2N1fnnn6/77rtPMTExIcdMT0/Xl19+qWnTpmnXrl2SpKZNm+qqq67SiBEj8sSwfPly/frrr1q2bJkOHjwoj8ejOnXqaMCAARo9erQqVqwYsv+SJUt03333afjw4XrooYf0zjvvaNasWUpKSlKDBg10ww036NJLL83zPkVh7ty5kqTBgweralVLI4YbTZwkfTbO6N8vtVa9evW0ZcsW7d2795zatE2ZMkWS1K9fP8XHxxf4dU6nU5I9GhAAAAAIh+PHjd593y4o3Hm7perVz60YVJI5y80336xBgwbliaEs5Sxn67JLLH35tdG8+dKBg0a1a535vDVv3lwLFizQ4cOHSyBCAABKH2YGAQibKVPtpKt3L6ly5YInXT6fT/fff7+mTJmi9u3bq127dtq8ebMef/xxLVy4UOPGjdNTTz2luLg49ezZU4FAQF9//bVeeOGFkOMcPXpUd955p/773//qyJEj6tKlizp37qwdO3bo2Wef1csvv5znvd944w19//33io6OVrdu3dStWzelpKTok08+0e9//3ulpqbmG3NycrLuuusuJSYmqnPnzurYsaN27Nih559/Xt9++20hvrWC27RpkySpdevWkqTrr7XkcEgLFkqbtxi1atVKkrR58+Zzep+sYtCwYcMK/Bqfz6cxY8ZIkvr27XtO7w8AAACcrXffNzp5UmreTLry8qI7bknkLI8//niZz1nOVqNGlrp0lgIB6YcfzRn3l+xCnSRVr169GCMDAKD0Yjg2gLAIBIx++dXeHnZB4UbfrVq1St26ddOECRMUGxsrSfrhhx/03HPP6aWXXlJSUpLGjBmjNm3aSJIOHTqk0aNHa+rUqfr973+vevXqSZKee+45bd68WSNHjtR9992nqKgoSdKRI0f0yCOPaPz48erbt696985uQn3HHXeoY8eOITNgPB6PXnnlFU2aNEnjxo3THXfckSfmWbNm6YILLtDf/va34PvMnDlTjz32mD766CNdfnlo5nnPPfdo2bJlhfpennzyyZD1fw4cOCBJqlmzpiSpXj1LgwYaTZ8hfT7OqFatWpKk/fv3F+p9clq1apV2796typUrq0+fPqfd9/nnn5ff79fJkye1fv16HTp0SB07dtT9999/1u8PAAAAnK2Nm4y+/9He/uPDllyuomsRVxI5y2OPPVbmc5ZzcfmllpYtt8/hLTeb056/3bt3a86cOZIUnJkFAEB5QzEIQFgsXyEdPCTFx4cu+FkQDodDjz76aDCpkqThw4frzTff1O7du3XbbbcFkyrJLoYMGzZMX3zxhZYtW6Z69epp3bp1mjt3rtq2bauHHnooZE2b6tWr6/HHH9ctt9yiCRMmhCRW+RU8oqKi9PDDD+v777/XrFmz8k2sKlSooEceeSSYVEnSwIED1axZs3xbtfXu3VsJCQmF+l7q168fcj9rxF/ONhM3Xm9p+gyjadOly0bEhOx3Nn766SdJ0gUXXHDGdm+TJ0+W3+8P3u/atauefPJJVa5c+azfHwAAADhbWe3hzh8qdexQtGsFFUXOsnHjxtPmLM8++6yuvPLKMp2znIsB/aUqVaTDh6V586X+/fLfz+fz6dlnn5XH49H5558f7JwAAEB5QzEIQFj8nNkibshgKSqqcIlXQkKCGjZsGPKYw+FQnTp1dPz4cfXs2TPPa7JG1h05ckSSlJiYKEkaMGBASFKVpVWrVoqLi9PatWvzPHfw4EElJiZqx44dSklJUSAQkCS53e5gD+/cWrdunW/Ro0GDBtqyZYuOHDkSkliNHj063+Ocq9atLJ3X1WjJUmnN2oK1UzgVn88XXHz1oosuOuP+WSPxDh8+rJUrV+rtt9/WTTfdpBdeeEG9evU6p1gAAACAwli6zGjBQsnplO66vWgLQVLR5CwLFiyQdOqcpW3bthGZsxRUVJSl4RcbfT5O+vZ7o/798j+Pr7zyilasWKF69erpz3/+cwlHCQBA6UExCECJy8gw+m2mvV3YFnFSdtuz3LJG3eX3fNZzHo9HkrRnzx5J0jvvvKN33nnnNLFmhNz//PPP9fbbb8vn8xUq5qyWbLnFxcWFxFWU4uLilJSUpPT09JDHb7rR0pKlRps2p4fEUFhz587ViRMn1KBBA7Vv377Ar6tRo4aGDBmiNm3aaNSoUXr22Wc1fvz4kFGTAAAAQHExxuid9+yBUZddardTLmpFkbPs27dPUmTnLOfq8kssfT7OLuztP2BUp3boufzoo480YcIEVatWTa+++ipdCQAA5RrFIAAlLnGOlJoqJdSROhS8hhBkWadP1s70vKTgyLhOnToFR+CdyerVq/X6668rPj5ef/jDH9S1a1dVr1492Ebhkksu0eHDh886ppzGjh2r7du3F+o1l112mTp37hy8X7t2bSUlJenQoUNq0aJF8PFu50ktW0jr1hyUJNWpU6dQ75NlypQpkgo2Kyg/CQkJ6ty5s+bOnas1a9aoW7duZ3UcAAAAoDBmJUpr10kxMdKtNxd9IUgqmpzFGLtgdaqcJTo6Ok8hqKzlLOeqXj1LXbsYLV0m/fKrdPOo7OcmTJigd999V/Hx8Xr11VfVoEGDIntfAADKIopBAErclMwWcRecLzkcxZN8nUlWAWTAgAEaNWrUGfa2/fbbb5Kku+++WyNGjAh5Lj09PdjOoSjMmzev0Iuxdu3aNSSxatGihTZt2qT169eH9A23LEs3Xi89+eQGSVKDBs0LHV9KSkqw1d7ZFoMkqUqVKpKkY8eOnfUxAAAAgILy+43eH2PnI9ddI1WvHp58pCCyZg+dKmepWrVqnuvospazFIVhF1pauszo5ylGN91o5zu//PKLXn75ZcXExOjf//63WrZsWaTvCQBAWUQxCECJOnbcnsIvSRddGL7Eq2/fvnrttdc0c+bMAheDTp48KSn/9gnTp08PjtwrCv/973/P+Rh9+vTR5MmTNWPGDN1+++0hz9VN2CCZvZLVVMtWJKhJk8Ide/r06crIyFDHjh0LPLMqN7/frxUrVkgq2oVkAQAAgFOZOVvavkOqWFG68frSWwiSpB49eui9996L6JylKAwaIL3yqrRjp7Rhg3T06Fz9/e9/l9Pp1L/+9S916tQp3CECAFAq5F2BEACK0bTpkj8gtWktNWwYvuSrU6dO6tGjh1auXKn/+7//U0pKSp59Nm3apHnz5gXvZy0A+91334X03962bZveeuut4g+6kAYNGqS6detq06ZNGjduXPDxtLQ0/ec//5YkOZw36IuvjHy+7KTw/vvv18iRI7VmzZpTHvvnn3+WJF188cWnjeGXX37R5s2b8zx+4sQJ/fOf/9SePXvUrFkztW7dulCfDQAAACgsY4zGfmJf915zlRQfX7qLQe3bt4/4nOVs5cxZKlSw1L+f/fgnn63QE088IWOMnnvuOfXs2TO8gQIAUIowMwhAicpqEXfhBeFPvJ555hk9/PDD+uabbzR16lS1aNFCNWrUUEpKijZv3qwDBw5o5MiR6t27tyS7v/bnn3+uxMREXXfddWrTpo2SkpK0bNkyDRw4UGvWrNH+/fvD/KmyuVwuPfPMM3rggQf02muv6ddff1WdOnW0YsUKHT58WAMHDtaqtcO1d680c5Y0dIj9ut27d2v//v1KT0/P97gHDx7UsmXL5Ha7NXTo0NPGMG/ePP3tb39TvXr11KxZM8XExOjQoUPasGGDUlNTVbNmTT333HOF7k8OAAAAFNb8BdLmLVJsjHTt1WXj+vN0OcvWrVu1b9++Mp2zSNJLL72kDRvsFtYnTpyQJM2dO1d33HFHcJ8PPvgg5DW5c5ZhF1r6dZrR9F//LGMyVLduXc2cOVMzZ87M836dOnXS5ZdfXlwfBwCAUotiEIASs3On0br1ktMhnT8k3NFI1apV0/vvv69vv/1Wv/zyizZu3KhVq1apWrVqqlu3rq677jpdcMEFwf0rV66sjz76SG+++aaWLVumxMREJSQk6He/+51GjRqlq6++OoyfJn8dO3bURx99pPfff19Lly7V5s2bVa9ePY0aNUojR47Ux2Mtffix0WdfGA0ZXLBFY6dMmaJAIKD+/furUqVKp933sssuU2xsrFauXKmVK1fq5MmTiouLU9OmTdWvXz9dc801io+PL6qPCwAAAOTLGKOxn9oD0664XKpUqWwUg06XszRq1EjXXHNNmc9Ztm3blqcrwfHjx3X8+PECH6P7eVK1qtLBfXabvL1792rv3r2n3J9iEACgPLJMARvGhmtx7/wWRAROhd9L6fb+BwH97xOpTy/ppX+Gt0slvxXbiRNGV480Sk+X/vOype7dykZSXNL4vaCg+K2goPitFL+qVaue0+vL6/nhtxmZOK/SsuVGDzxsFOWWvvrCUo3qZf+6l/Ma6o23Avrya2nwIOnZZ8ruqgic18jEeY1MnNfIVRbPbUHyn7L7/44AyhRjjKb+Ym+XhhZxsFWubOmS4fb2518U3WKyAAAAQGnyyWf2te7w4YqIQhDyuuhC+7zOmSMlJ5PbAACQG8UgACVi9Rpp334pNlbq1zfc0SCnkddacjqkRYulDRtJmgAAABBZtm03WrhIcjikUddTCIpUzZtLjRtJHq+UODfc0QAAUPpQDAJQIn751S4yDBwgxcSQgJUmCQmWhmSu4cTsIAAAAESabyba17j9+9nXvohMlmVp8CB7e/oM8hoAAHKjGASg2Pl8RtN/s7cvGEryVRrdmDlCcsZv0t59JE4AAACIDMnJRlOm2NtXX0kuEumGDLbP8cJFUtJJ8hoAAHKiGASg2C1ZKh0/LlWpIp3XNdzRID8tmlvq0V0KBKQvviRpAgAAQGSY/LOUli41aSx16RzuaFDcmjS21LSJ5PNJiYnhjgYAgNKFYhCAYvfLNLu4MGSQ5HIxGq+0uulG+9z8+JN07DgFIQAAAJRtgYDRhMwWcVdfacmyyEXKg6zZQdNoFQcAQAiKQQCKVUaG0cxZ9vYF55N8lWZdOkutW0kZGQomzQAAAEBZtXCRtHuPFF9BuvCCcEeDkjJkkH27eIl04gR5DQAAWSgGAShWc+ZJaWlSQh2pfbtwR4PTsSxLN95gF+y+mSilpZE4AQAAoOzKGuA0/GIpLo6BaeVFw4aWmjeT/H5pNq3iAAAIohgEoFj98qudgJ0/VLRlKAMG9pfq1ZWSkux2cQAAAEBZdPCg0fyF9vYVl5OHlDe0igMAIC+KQQCKzcmTRvMX2NvnDyUBKwucTks3jLTP1RdfGvl8JE8AAAAoeyb/LAUCUudOUsMG5CLlTVaruKVLaRUHAEAWikEAis3M2ZLXKzVtIjVrSgJWVlx8kVS1qrT/gDT9t3BHAwAAABROIGD042S7AHDJCPKQ8qh+fUvNmkr+gDR3frijAQCgdKAYBKDYZLWIu+B8ErCyJDra0jVX2efs83FGxjCSDgAAAGXH0mXSvv1ShQrSoAHhjgbhMqC/fTtrNvkMAAASxSAAxeTwEaOly+ztoUPCGwsK78orpNgYafMWaeGicEcDAAAAFNwPmbOCLhgqxcQwMK28GtDPPvcLF0np6RSEAACgGASgWEyfLhkjdWgv1U0gAStrKlW0dNml9vbnX5A4AQAAoGxISjKaNcvevmQ4eUh51ry5lFBHysiQFjDADQAAikEAiscv0+0CwvlDSMDKquuuteR0SkuWSuvXUxACAABA6Tf1V8njlZo3k1q1Cnc0CCfLsmgVBwBADhSDABS53buN1q2TnA5p8KBwR4OzVbuWpQvOt7c/Y3YQAAAAyoDJP9vXrZeMsGRZDEwr7wb0t38Dc+ZKPh85DQCgfKMYBKDI/Trdvj3vPKlaNRKwsuzGkfb5mzlL2rWb5AkAAACl144dRhs3Sk6ndD7rlkJS+3ZSlSpScrK0bHm4owEAILwoBgEoUsYYTf0lc8HW8ykElXVNm1rq00sKBKRPP6cYBAAAgNLr18xW1T26S1WqkItAcjot9etjb89KJJ8BAJRvFIMAFKlNm6Wdu6SoKGlAv3BHg6Iw+mY7kf55irRvHwkUAAAASh9jjH751d6+YCiFIGTLahWXmGj/TgAAKK8oBgEoUr9Osy+u+/aRKlQgCYsE7dtZ6nae5PdLn40jeQIAAEDps36DtHuPFB0t9esb7mhQmpzXVYqJkQ4dtgcvAgBQXlEMAlBkAgGjX6fZ2+czGi+i3DraPp8//iQdOkRBCAAAAKXLL7/a16j9+kpxceQiyBYdban7efb2nLnhjQUAgHCiGASgyKxcJR08JMVXkHr1CHc0KEqdO1nq3EnyeqXPvqAYBAAAgNLD7zeaNt3eZt1S5KdvH/t3MXceuQwAoPyiGASgyGSNxhs40B59hchyS+baQd99Lx05QhIFAACA0mHZcunIUalSJaln93BHg9KoVy/7dt166TC5DACgnKIYBKBIeL1GM2ba2yzYGpm6nSe1ayt5PNIXX5FAAQAAoHT4JXPd0sEDJbebXAR51ahuqU1re3vevPDGAgBAuFAMAlAkFi2WkpKk6tWkLp3DHQ2Kg2VZwbWDJn0rHT9OQQgAAADhlZFhNDNrUBot4nAatIoDAJR3FIMAFIms0XhDBktOZzEmYcbY/yEsevWUWrWU0tKlL8dzHgAAABBe8xdIySlSrZpSxw7hjqYIkO8Umz697dtFS+wiIgAA5Q3FIADnLCPDKDHR3j6/OFvEGaOoeW8pat5bJEhhYllWcO2gbyZISSc5DwAAAAifrHVLzx8qORxlfGYQ+U6xatHcLhqmp0tLl4U7GgAASh7FIADnbP4Ce6ZIndpS2zbF+EZ+r6xj22Ud2y75vcX4Rjidfn2lZk2l1FTpa2YHAQAAIExSUozmZq7/EhHrlpLvFCvLsoKzg+bMJY8BAJQ/FIMAnLNpM7JbxFlWBCRhOC2Hw9LozNlBX38jJSeTSAEAAKDkzZknebxSwwZS8+bhjgZlQZ/edh4zb4FkmH0FAChnKAYBOCdpadmj8YYMohBUXgwaIDVuJCUnS19+TRIFAACAkjdzln0dOmggg9JQMF27SFFu6cABafuOcEcDAEDJohgE4JzMnW/3XK5bV2rVKtzRoKQ4nZZuv81OuL8aL504QUEIAAAAJSctzWj+Ant70EAKQSiYmBhLnTvb2/PmhzUUAABKHMUgAOdkRlaLuEGMxitvBg2QmjWTUlKkcV9SDAIAAEDJmb9AysiQEhKkFrSIQyH06mnnrQsWksMAAMoXikEAzlpqqtHczNFUQwZTCCpvHA5Ld91un/fxE6Rjx0imAAAAUDJ+y2wRN5gWcSik3r3s2xUr7ZwWAIDygmIQgLM2Z57k8Uj16zMar7zq20dq09puFfjp5yRSAAAAKH4ZGdnrlg4cQCEIhdOgvqV6dSWfT1q8JNzRAABQcigGAThr02kRV+5ZlqU7M2cHTfxWOnSIghAAAACK16LFUlqaVKuW1LZNuKNBWZQ1O2g+reIAAOUIxSAAZyUlxWhB5oKttIgr33p0lzp2sGeJjf2MZAoAAADFa8ZM+5pzYH8GpeHs9MxcN2j+fMkYchgAQPlAMQjAWUmcI3m8UsMGUrOm4Y4G4ZRzdtD3P0j795NMAQAAoHj4fEZz5trbgwZSCMLZ6dpZioqSDh6Stm0LdzQAAJQMikEAzsr03+x/8B86hNF4kLp2sXReV7vv9sdjKQYBAACgeCxfISUnS1WqSO3bhTsalFXR0Za6drG35y0IbywAAJQUikEACu3kSaMFC+3twYMoBMF21x32b+Gnn6XduykIAQAAoOglzrWvM/v2kZxOchGcvV5ZreIWkLsAAMoHikEACi1xjj0DpHFjqWkTEjDY2rez1LuX5A9IH35MQgUAAICiZYxRYqK93a8PeQjOTa8e9u3KVfaauAAARDqKQQAKbdqMzBZxg0nAECpr7aBfpklbt5JQAQAAoOhs2SrtP2Cv9dK9W7ijQVlXv76l+vUlv19avCTc0QAAUPwoBgEolKQko0WL7e3Bg8IZCUqjVi0tDRogGSO9/wHFIAAAABSdxDn2bfduUkwMA9Nw7nr3tG9pFQcAKA8oBgEolFmJ9sipZk2lxo1IwJDXnXdYcjik2XOk1WtIqgAAAFA0EufY15a0iENRyV43yG5DCABAJKMYBKBQfptpXyAPHkQChvw1bmTpomH29ntjDEkVAAAAztmhQ0brN0iWJfXtE+5oECk6d5Kio6VDh+02hAAARDKKQQAK7ORJE+ylPGhgeGNB6Xb7rZbcbmnpMvpvAwAA4NzNmWfftm0jVavGwDQUjehoS+d1sbfnzQ9vLAAAFDeKQQAKbO48yeeTGjeiRRxOr05tS1dcZm+/+z6zgwAAAHBugi3i+pKHoGj1zGwVt2AhOQsAILJRDAJQYL/Nsi+OBw4IcyAoE0bfZCk2Rlq/QZo5K9zRAAAAoKxKTTVastTe7tc3vLEg8vTqad+uWiUlJ1MQAgBELopBAAokLc1owUJ7e9AARuPhzKpWtTTyOnv7/Q+MfD4SKwAAABTeosWS1yvVq2t3KQCKUr26lho2kPwB+7cGAECkohgEoEDmL5A8HikhQWrePNzRoKy4/jpLlSpJO3ZKU34JdzQAAAAoi2YHW8RJlsXANBS9rNlB82kVBwCIYBSDABRIVou4QQNIwFBw8fGWbrrR/r18+LGRx0NyBQAAgILz+YzmzbO3WS8IxaVXcN0gsd4pACBiUQwCcEYZGUZzMxOwgbSIQyFdfaVUs4Z04IA06btwRwMAAICyZM1a6USSVLGi1KF9uKNBpOrUUYqJkQ4flrZsDXc0AAAUD4pBAM5o8RIpLc3+B/22bcIdDcqa6GhLt95iFxHHfmqUmspIOwAAABTM7ET72rFPL8nlYmAaikd0tKWune3t+QvCGgoAAMWGYhCAM5qZ2SJu4ADJ4SABQ+GNuFiqX086flz6any4owEAAEBZYIxR4hx7mxZxKG49e2S1imPwGgAgMlEMAnBaPp/R7MwEbEB/EjCcHZfL0p2327+fcV8aHT9OggUAAIDT27lT2r1Hcrulnj3CHQ0iXa+e9u3KVVJKCvkKACDyUAwCcFrLlksnT0pVqth9lIGzNWSw1KK5lJJit4sDAAAATidrUFqXzlJcHAPTULzq1bNUv57k90uLl4Y7GgAAih7FIACnldUirn8/yekkAcPZczgs3Xu3/RuaMEnas5eCEAAAAE5tztysXIQ8BCUja3YQreIAAJGIYhCAU/L7jWbNtrcHDSABw7nr3s1Sj+6Szye9N4YECwAAAPk7dsxo9Rp7u2/v8MaC8qNnTzvvnb/AXrMKAIBIQjEIwCmtXiMdPSbFx0tdu4Q7GkSKe35nybKkadOl9etJsAAAAJDXnHmSMVLLllKtWgxMQ8no0kmKcksHD0rbtoc7GgAAihbFIACnlNUirm8fye0mAUPRaNHC0oUX2Ntvv2sYcQcAAIA85szJbBHXlzwEJScmxlLnzvb2goVhDQUAgCJHMQhAvowxmkmLOBSTu263FOWWli6T5pNkAQAAIIeMDKOFi+3tfn3CGwvKn17BVnEMWgMARBaKQQDytX6DdOCAFBsj9ege7mgQaerUsXT1Vfb2f98x8vtJtAAAAGBbtETKyJBq15aaNw93NChvevWwb1euklJTyVMAAJGDYhCAfM1KtC96e/WSoqOZGYSid/NNlipWlLZuk36eGu5oAAAAUFpktYjr10eyLHIRlKwGDaSEBMnrlZYuD3c0AAAUHYpBAPKVmGjf9u9H8oXiUamipdE32b+vMR8YZWQw6g4AAKC8CwSM5sy1t/uxXhDCwLIs9eppb9MqDgAQSSgGAchj926jbdslp1Pq3TPc0SCSXXWF3f7j0GHpq/HhjgYAAADhtnaddPSYVKGC1LlTuKNBedWzh12IXLDAXk8XAIBIQDEIQB6z59i3nTtJFSsyGg/FJzra0u/usH9jn35udPw4iRYAAEB5NmduZrvqHpLbTS6C8OjaWXK7pX37pV27wh0NAABFg2IQgDwSM3t00yIOJeGC86UWzaWUFGnspxSDAAAAyrPEzIFpfWkRhzCKi7PUsYO9PX9heGMBAKCoUAwCEOL4caNVq+3tfn3DGwvKB4fD0r1328n+hEnSnr0UhAAAAMqjPXsy21U7FFyzBQiXXj3tHIV1gwAAkYJiEIAQc+dJgYDUsoVUpzaj8VAyunez1KO75PNJ740h2QIAACiPEufat507S5VoV40wyypILl8upaeTowAAyj6KQQBCzE60L3L70ZYBJeye31myLGnadGn9epItAACA8iYrF+nbh1wE4de4kVSrluTxSstWhDsaAADOHcUgAEHp6UYLF9vb/WkRhxLWooWlCy+wt99+18gYCkIAAADlxYkTRqtW2du0q0ZpYFlWcHbQAlrFAQAiAMUgAEGLl0gZGVKd2lLz5uGOBuXRXbdbinJLS5exUCsAAEB5Mn+B5A9IzZpKdROYGYTSoVePzHWDyE0AABGAYhCAoNlzMlvE9bNHQQElrU4dS1dfZW//9x0jv58ReAAAAOVBVi7St0+YAwFyOK+r5HRKu3dLe/aQmwAAyjaKQQAkSX6/0ZzMBVv7s14QwujmmyxVrCht3Sb9PDXc0QAAAKC4eTxGCzJnXrB2KUqTChUsdexgb89fEN5YAAA4VxSDAEiSVq+Rjh+X4uOlTh3DHQ3Ks0oVLY2+yf5HgDEfGGVkMAIPAAAgki1bLqWlSdWrS61bhTsaIFTPYKs48hIAQNlGMQiAJCkxqy1Db8nlYjQewuuqK6TataVDh6Wvxoc7GgAAABSnnC3iHA5yEZQuvXvZt0uWSunpFIQAAGUXxSAAMsZodqK9TVsGlAbR0ZZ+d4f9W/zkM6MjR0i6AAAAIlEgYJQ4x97u14dcBKVP0yb2QDWPxy4IAQBQVlEMAqDtO6TdeyS3W+rZI9zRALYLzpfatJZSU6V3x1AMAgAAiETrN0iHD0uxsdJ5XcMdDZCXZVnq09venjuPvAQAUHa5wh0AgFPwpMi5Y66cuxfJuX+VrJSDslKOSJZDplKCfA16ytt1tEzVxqc8hHPjFLlXfyPngdVSRrJMTGUFEjrJ2/kG+Rv1De6XNRLvvK5SXNzpR+O5Vn4l5+7FchxaLyvtqKz0E5LDLVOhpvx12svX9nL5mwzI8zrHwbWKmvO6nHuXSr50Bao0lrfLKPk6jsz3fWK+ukWu3Qvl6XWfPH3uP/P3VcycG3+We9V4OQ6uk+U5KRNbXf763eTteosCddqf07Ede5fJveprOXcvkpV8SHK6ZGKrK1CrtXxNBsjX/uq8r9mzVO6VX8q5b7n9moBXiqqgQNUm8jUbLG+nG6Xo+Lxv5kmRe8U4ubbMkOPoVsmTLDlc9vlL6CRvh2sVaFDyFcG4MUPlSNqb5/FxLSW1zLzzin3jbXuFMi56Mc++zh1z5V7+uRz7V8hKP2H/3ut0krfzjfI36lPomOJfaRPc9krK59sMyv07da0YJ/fycXIc3y65YuSv21Wevg8pUKtNntdax7YpbuzlkqTU0d/KVG1S6FgBAACK09nmAJLOeP25bcc1krqrV097dnih+DxyL/9Urg0/29ddfq9MxQT5mvSXt/udMhVq5nmJc+d8Rc1/W44Da6SAX4EaLeXpfqf8LS/Me3y/R3FjL5fj2HalD3tBvnZXFi6+IuQ4sEbO7Yly7lsux76VcqQdDV6jnur6uEDSjsm16Rc5962Qc98KWUe3ylJ2wSP5j+tO+3Ln1t/kXjNRjgOr7XzV+GWiKylQvbn8LS6Ut8M1kis69LPsWyHnrgX2byppj/06b6pMbBUFareTt92V8rfI53yUMOvIZkUt/0zOnfP1Vx3Qo8Ol4xnVFDOxmfwNesrb7fbsnX0eOXfNl3PXwswc7aCs1CNSwC8TX1v+el3l7XKTArXbnX08x7YravGHcu6cJyv5oOSOVaB6c3nbXCZfh2skK9d474BP7oXvy712kqykfVJUBfka9Zan3x9lKtfPc3znroWK/foWmZjKSrntJym26lnHCgAonSgGAaWUc3uiYn94ON/nrKNbFXV0q9yrJyj94pfyJi4Bn2J+/JNcm6aGvi71sBxbpsm1ZZo8590mz8BHJUmzE+2L/f79zpx8Rc19Q47Uw3nezzqxU44TO+XeMFmezqPkGfJk8GnH4U2K/eImWb40GWeUTFRFOY9skvPXZ5SRclje3veFHM61/ke5di9UoFI9eXrcdcaYilXAr+ifHpV7w+SQh63k/XKs/0GuDZPlGfSEvF1uKvyxTUBRM15U1PJPQx/3Z8jypMhxYqccB1bnKQa5l3ys6Jn/ynu89BNy7lsu577lcq/6WmkjP5OJr5Udc8phxX55kxzHd+T6jD5ZJ3bJcWKX3Ot/UEa/P8jb43eF/zxhFDXz/xS15MOQx6yUHL/3brfLM+DPJRPL3DcUNf9tSVIgtposT7Jc22bKuXuRUm/8SqZ6s5D9o6e/IMvvlaf7nRSCAABAqXQ2OYBUsOvPkfpBB5o/rPr9Cnf9aaUcVsz42+U8sin08WPbFHVsm9xrJirtyncVqNsl+Jxzx1zFTLhLlgnIuOMkV4ycB1Yp9oeHlH7Ri/K1vSLkWO4lH8txbLv8CZ3zPFfSoub/V64t04r8uM49SxTz69Nn9dqo6c/nzWUkWWlH5di9UK7dC+VaM0Fp142VoioEn48df7ssb2re16UckmPrb3Jt/U3eVsOVcfFLksN5VrGdK/fC9xU15zVZxi/Jbqvjckmxrj3Stj1ybZsVUgxyHN6o2Im/z/dYWX8nrnXfyTPwcXm73lzoeJybpipm8p9l+T3ZD/o9cu5ZIueeJfKt/1HpV/5XcscFn46e+qTca7+VJAUq1JCVdlzuDT/JuXuR0m6eJBNXPftYAZ+ipj8rScro+zCFIACIULSJA8oAE1NZvkZ95K/XTcYZFXzc8mco5ufHZZ08ELJ/VOKrIYWgQIWa8jXqp0Bstex9lnwk18qvdPiI0drMwV59Czh5wjhcClRrJl+jvvI17C0TXSn0/Zd/Jsfe5cH77kXv24Wg6IpKvX2KUu9OlLflRfa+i8ZIORMBT4qiZv2fJClj0ON5RpGVtKh5b4UUggKV68vXZGDwM1smoOgZz8u5c37hjz3zpZDkyTjd8tdsI1+TAfLXbCPjzPvZreSDipr975DH/DVayde4v0xU9twVx4ndipr7euj7zX8rJBE3URXka9xf/pqhs1Wi5rwmK2lPoT/PufA3GSBfiwvz/c8bHzpqLfdoOtfqb0IKQYEKNeRrMlCBHCNBoxZ/KNfqbwoVU84YrLYjQu4HciZOkvxZMXlT5V70gb3Z8iKl3p2o1NunyERXlOVNVdTC90Je59z0i1w7EhWIry1Pr3sKFR8AAEBJKmwOIBX8+vO+Nq+rX9tCXH8ao5gf/hBSCPLXbm/H5bDHvFoZJxU76R4p7ViOeN6WZQIKVG6olN/9ppTfz5I/s1gUNSf02tk6uV9RC96VsRzKGPKkZJWe9YxMdOXiOa4zWsYVU6B9HftW5ikE+et0lK9R35Cc1XlwrdxLx+b/fpbTfk3j/gpUqBXynHvDZLmXfVLIT1A03Es/UXTiK8FCkLEc8ldvoTWeAVpzrJ08VtxpX2/ccfI16Clfw14yOYpglgko6rcX7VlphWAd3aqYyY8EC0HGFWP/HVVvHtzHtXuhon/9e/Zrju0IFoI8592m1N/PVtqNX8lYTjlSDsu97LPQz7zsUzmPbJa/Vlv5Ol5XqPgAAGUHM4OAUsxfo6U8ve+Tv9nQ4Igo6+g2xX05SlZmUmP50uTa+JO8591qv8iTIvey7IvyQJWGSh31jd0yLO2Y4v53qRypRyRJ0XNe1cIGl0tyq01rqUb1Myc4GUP/Jn/9HlJslewHvamKnfA7OfcsCT7k3LtUgbqd7e0Da+3P06CnTMU6kiRfm0vl3vizLF+6HEe2KFCngyR7xJsj+YB8jfrJ3/z8wn5lZ8cE7DYFm36RZ+hT2Y+nHpV78ZjgXX/dLkq79mPJGSXr5H7Fjb1cVkaSHfes/1PaTQUvNjj2rQxJivx1Oir94pdkqjbK3smbLufuhaGv27tcVsCXvUuOlhDW8V2K++ji7NFr+5aHvnZ39vkxllOpo74Jvl/0lL/KvWaCfRwTkGP/Kvkr1Svw58nJOrFbrrXfyt+wtwL1Ctb4PWPoKUYjmoDiPsie+Zbiq6DUJlcoNusBv1dRia8Gnw9UbqjUm8ZL0RWljJOK+/QaOU7slGQXSX1tLpOc7gLFlH7pa8Ht2KpVdfJY5j8kZCSrwnsDc7xnffmb2vcdhzfL8mdIsn/jsiyZinXkb9BTrs2/ynEwR+LnTQ/O8PIM+HPIKD4AAIDS5GxyAKng159OK6CKyavlV97WVflxbp0h557Fwfs5ux44t85Q7KR7JUlW+glFLXxPnoGP2fFk/iO8r9lg+3pRkq/lxXLuXSbHyX1S6lEpzh5AFzXzX7K8qfJ2HHlOrb0Kxe+VdXK/rPTjeZ7ytRwmX+vh8tfpJEmq8EHR5EqmSkNlDHlS/jqdFKjZSrHf3CHn7kVnfF3O8y6Ftk127F6kuK9GZ++7b7m8Od8zKk6ebrfL2/nG7BkovgzF/PSYXJumBPdzrZmYneeeBcfhTXKtnSRvh+tC86zTsE7uCxl8F6jSUOkjXlGgdjut/MHoXy8bdWjj1XuPzM3z2kClevL0ule+1pdILrsgZiUfVOzXt8hxbLt9X0auNZPkKcRvKjrxP7L89jdoHC6lXf+ZArXaSsYo+sc/yr3xZ0mSe9138na7XYGareQ8uDb4el9buyV1oFYbBWq2lPPgupC8xEo5rKh5b8nIyix8Mm4cACIV/wsPlFL+Bj2UdtM3dq/kHFPjTbUm8na8PmTfrAtLyb7QzvrHaEnytbo4e+2Y2Kp2YSmTlXZMJ5bMkiT17VOwkW7+FheGJoGS5I6Tr8Ww0MdyzOgx+R3a5Fx4097BOrpN7mVjZZxuZQz+S4HiORfW0W2KSnxVcWPOV+z42+Ve/0PI8+6NPwUvuiXZreAyR7mZinXs7zaT8+BaWUc2F/i93UvHBntxG1eM0ke8kjdBccfk7b2eq5ARqJ29XpGp0iCY1EqSonKtcpPztdEVQ94vUKtt6L65X3smnhS5Vk9Q7FejFffBhYqe96astKOFO0Y+nFt/kyPHLKXvdl6uT7/JLpo4d8wJaVni7XBN9ncQXdG+n8mReljOHXmTtsJyr5kY0tbC2+nG7ITpVCNGg7/37OejFr0vR9Ie+et3l6/1iHOOCwAAoLicTQ4gqdiuP91rvwu5n7Ndl7/pYAVytN51rfs+32uxbDnyksxrOefOBXJv/FkmprIy+j5U4LjOluPAGkXNeEEVPrhArr1L5Eg5lGcfX5tL5Ws1XKby2Q3YOpVAjZbydh5lr4NawEFTkvLs66+TXdzIfW5NrnObdtMEu1V4zlZkrmhl9P9TyH6OY7naCxZE2jG5l32q2M+uUdzYyxS1+MN8W9KdinvFFyH5dPrFLwWLgb172Y+tXu/WoaqDQl4XqNpYqbf8IF/7q4KFIEky8bXk6X5nyL552iaeTnqSnFtnBu/6G/bO/n4tS96ut4Ts7lpn/22YU+YlWRs58pLZL8vyJMvX9rKQtooAgMjDzCCgtDpNj95AhRoh902OAoCVeizXc6EtBExMaDuH6MMrJA0NXtieFW9aSFs6Yznla5B9wECtdnIe2SLnrgWyTu6Xia8tV2bhxbhiFMhcQyV6xvP22ind7pCpVkxrp6SfkGvDT/Jt/EEVdoWOZjOu2JD7jr0rQu77a7XLdb+tcqZAzr3L5csxVf+UjJFre2L2cep2keVJljvxVVkndktRFeSv00G+1sPzzBbx1+0s444LJjSuNd/I17iv/Z2umRgyitCX2Yov+NpGfYIjxKz043Iv/0zedlfJSj4o15rsWU2BCjXkL8iMHhOQc+d8udZOkmvTr7J8adlPyZJyfZ9nw708u32BkaUvtt2ofRukEcON6iZYcuaa/ZR71Gagdmgi6ty3PDiL56wYI/eKcdl3XbHytr8q+/2qN5Nxxcjypcu17nv5mw6WlXwwOMMrq3hnHd8l96IPZCynMgaH9tYHAAAoE86QA0inv/7UiuzrT19sAa8/M+WcAR+Iry2TKz/y124nx7Ft9r6pR2Sd2CVTpaECtdvKuWeJXFtmyNP7PskVLVfmrIpApbp2DhbwKWpG1topDxXb2ilW8kG51v8g15pJedY9MlZ41skpDF/DXoqyHLJMQJLkXva5AjXbykTH52mN7GsZWjQ0Odo5hz5+6jz3tPxeObfNlHvNJDm3zZIVyB7QZxyukLZ1Z+LcNju4HajSUCauutzz35bj6HbVc7r1UM/W+njpCM1bUFUjLs7xwuhTFzNNXO7PVfDCp/PA6pDPkzu/CdRqKyMrONDQuW9F8PEsrrXfyjPwUTkOrZfj8MbM49h5iWPvMrnWficTFS9P/0cKHBcAoGyiGASUQTkLCZLslg2Zcl8w5x515Di+M+R+QvQu1aghtWxRuBiif3pUli/DHql0YLUsT7L9/g63MgY/IZNZ4JEkb/c75dr0i6yMk4r78CKZqApyZM4a8fS4S3LHyrlpqlw75hTP2ikBn5zbE+Va+61cW6bL8nuCA6KM0y1/4/7ytb5EvqaDQ16W+7sz8aFJS+4kJucMrdOxkvbKyjiR/bojmxT7yZXBC3hJcq/6SoG5ryv90tdDWm0otqrShz2vmJ8ek+X3yHlwnSp8lDMLsc+Bt8tN8nYJXZjU0+P3cuxbKVdmYSJ6+nOKnv5cyD6Bqo2VPuLfp21ZZh3dKveaSXKt+16O5P0hz/lrtLS/y9YjZCrVLdD3cer32SbnjnnZx27URzVaNdGOpdLb/zV67h+WrFyjBXOfExMXet8q4Dk6FeeOucF/WJAyW8HF5Ci4uuPk7Xa7oua/LffGn+XctVCWJ0WWP0PGHRccFRj924uy/BnydLlZgZotzykmAACAklKYHEAq2PXnXk9jVbnp9NefIbxpciRnr5maX2Ehd1HBcWy7/FUaytPrXsVMuEuOEztV4b1BksMdvC739HlQUtbaKVvkr9VGvo4jCxZTQfky5NoyzS4A7ZgbbO8sZa4z03SQrOSDpyyWlCamenN5Bj5mt9MzAbl2JMr1/qDQfVyxdtvzFhfmf5BcnNtnh9z3N+h+2v0d+1fLtXaS3Ot/zNNaz5/Qyc5LWl0sk2u9z1MK+ILFEsledyruo+EhxZjbakvXnP+6xi36p3Tx0PyOkofzNPn7mVi5c9Lcvw1XlBRTSUq3f8dZ+Y6p0lDetpfLvfZbe73g9d/LSjshy/gVqFBD3s43SCag6OnPypJRRu/78vzdAAAiD8UgoIxxbZgs19YZwfv+2u3lb9wv+35CJxmnO9jezLXue/maXyB/vS5y7pgr55YZIceLdyWrdy/JKuSCqK7N0/JMtzfOaGUM+at87a8OeTxQo4XSRn6iqLmvy7lnqSzPSfmrt5C3yyg7wcq9dkpUBTl3LZRr7SRZSXulmMryNR2cZ6bLmTgOrbcLQOt+CGklZiyHHI17Ka3ZMHuUWkzlfF+ftR5Q9ofOtZiqO/R+VjJ8JrnbpzlSDue7nyPlkGIn3a3U0d/JxGcvqOpveZHSKtRU7Lf3599PvMX5dv9tR64RhdHxSr/6fUVP/Zvc677L8zoTU0WeXvcpULN13mDSjsu1YbLca7+Vc//KkKcClerJ12q4fG0uUaBG0RU23Ms/DymQebuM0kNdLN16p9Fvs6Sly4z6ZJwM/Qy5zpHJfY4yCnaOTh1T6EKr3i6j8uzj6fOAAhVqyL18nBzHt0vOaPka9pSn78My1ZvJuW2WXFtnKBBXXZ4+D0g+j9yrvpZz5zzJkyJTtZG8Ha/L2zoFAAAgzAqTA0g64/XnsYwqWlvzXvXK7/rzFKxc1395WtNJea7bs17jb9RH6Vd/oKj5b9vrB/nS5a/dQZ7ud8rf8kJZKYdyrJ3yN8lyyLn5V7k2/Cwr9bBMXA35Wl1U6LVNHXuX2YOpNv4UEr9xuOVv1McuWjQfIlkuRU8p/nbZRcXbdbQC8XUU8/NjsnzpeZ9vf7V87a4o0LGs1CPBnFCyZ/R4c7VXkzJnVK37Tq61k+Q8siXkOX/1ZvK1GiFf60vsFtqFlZ4UUqDLWqc3t4ruZN3i+KPS934hZ902pz2kY88SuVd+GbwfqJggX9vLChxS7t977nzHfixWlk7k2T/jwucUqNJI7rWTZCXtk6Li5G3UR55+f5SJqy7X8s/lPLhO/urN7JboGclyrxhnr8fl9ypQo4W8nUfJVGlY4HgBAKUbxSCgDHFu/lXRPz8evB+Iq6H0S14NXacktoq8nW9W1JIPJUmWN1WxE/JeRGfxBNzq06twhaBTsfwZivnlKfm2/qb0Ef8J6ZUcqN1O6Ve+m+/roha+J0fSXvnrdZOv9Qi5l36i6N9eCNnHtWmqfFumyzjcp16XJWcsSXsU98mVIY/5a7aRr80l8rUaoSoNW8t3LP+L+1MyJrTNeMi6R4Xg9+Z5yNe4vzIueFZyuhQ1/bngIqBW+gm5l46VZ0D2lH33ojGKSvxPsCWDv2Zrmbgacu5fJSvjhNwbfpJr22ylXfG2AvWzR9NZSXsUM/FuOTPXNjLRleSv00FW2lE5D66TlX5cMT/9Wb5NU5V+6ashC4fGfP9QcESnJJnYqvK1HCZv60sUqNu1QOekUDwpcq+dFLwbqNxQ/iYD1dSydMVlRhMmSa+9YdR7eO4X5jonZ3uO8mGd2CPntux+3b4GPU9Z/PJ1ukG+Tjfk84RH0TOelyR5+v1BckYrdvytcu5dlr3PrvlyrZ6g9BH/lr/FBUUWPwAAQHE4XQ5wqutPk3JU7sPrVDX6uM5PelS+73/Jc/15bk59Dehv2EtpDfPvkR01y147xdvGXjslaua/FLXk45B93Bt+lOe82+QZ+GiBInHsWqi4r7PXdTGyFKjXVd7WI+zBbjnb0Pk8BTpmqWACiprxoqKWfxp8yJ/QScYdJ+fe5bJ8aYpa/qlcm6Yq7ZoPZE7TTttKOayYb+6QI2lv8LGMwX/Jd3BU7Bc3hqwpGoivkz0wrdbpCzNnYuWTp/lrt1P68JdlYqsqav7bilo6VpIU7fTo+LT3VOHm/5zyeI69yxQ76d7gzCLjjlP6pa8XfBZcfvLNb07xe3e45O11j7z5dd5IO6boOa9LkjyDn5QyTiruixtDu13snCf3qvFKu3oMawkBQIQoqistAMXMte57xfzwh+AFaiCuutKv+SDfBUQ9/f8gb7sr8zwu5V1vKMlXVecVvD13UMoDS5T8h7VKuTtRaZe/FbpI65bpcq/4vEDHsY7vkntx5topQ/4m6+QBRc36P0mSr+lgJd8zTxl9H7aPu/kXWbnakp1SruthX6N+yjj/GXm73S5TsXbBDhGVq0d17tFuvoyQu7kXRj2lfPbLGPioTMXaMnHV5RkcOhrQuXtR9vaOuYqe/e9gISijz4NKu3mi0q9+Xym3/6RAvP3ZLE+yYqb+TQpkj2yLmfxoMBEPVKil1NsmK/3qMUq7aYIy+v0huJ9r8y/2Qrs55JyhE4iroYyBjytjwKMK1Duv6AtBsvta55xp5e18Q/AfB+64zVLFitKWrdKeI6HfZe4RiVbuc1SI/ty5uVd8Hvze7Zjyzgo64zGWfCjH8Z3y1+koX7ur5F72SbAQlH7RP5Vyd6L8tdvLCngV8+vTkjfvCEsAAIBwKWwOcKrrz8kNvtHrax/Ofm0+15+nkmcdmXxmpOS5Ti/A2jOOPUvlXpe5dsqAR+TYvypYCPJ2ul7J986XN7NtXNSSj+TYv6pA8ea+Uva1uUQZQ5+2Bw4V03pEJcG1anxIISj9on8p7YYvlH7Nh0q9eYJMZsHDkXJQ0dOfP+VxrJP7FPvlTXLmaM+W0f+R/AdWScqZ6AWqNFTG0L/J0+/hcy4ESfnnCp7eD8hUbSzFVJan/59Ccr4Khxbl2T+Lc+c8xX5zZ7DbhHHHKf3ytxWo075wMUXlzncy8uyTMwcq6DpL0bNfkZVxQt6WF8nfsJei5r4hx7HtMpZTadd8pJQ7flWgUl1Z3lRF//JUoWIGAJReFIOAMsC18ktF//y4rIBPkj21PG3kJ6duyeVwKWPYC0q94Ut5evxO3taXyNvuKqWf/3dlXBg64yalUhvFxZ3lP+ZblkxcdfmbDbFnKOWMefO0Ah0i+rcXZPk98na6QYGaLeXcPjs4cspz3q32TKfzbgsu+pmzP/jpmOh4+er3kMlMv1w7EhU3bqTiPhymqDmvyxzadIYj2Ovn5GSlHDzt/dz7n/K4lesF4wrGWzl76r2pUDOYPEn27KAsrvU/hLzOmzNJiq0qX/PsmSSO4ztkndhtHyNpj5x7lwaf87W4MKR3trfDdSHHdW6fE3Lf16BnMBFxpB5WzM+PqcI7/RQ9+VE5t86UMn+bRSXnPyQYd5y87a4K3q9c2dKdt9vf36y1jUJeZyUfCr2f6xyZAp6j3Iw3Xe7V2YscByomyN9sSKGOYZ3cp6gF78lYjsy2I1aw5WOgUj352l4uE1fdbvEnuy2FM8fiyAAAAKVCAXOA011/zk40Gr/j2pDX5r7+PCV3bHAAlGS3DcsTYnIhr9MD/uBaRp7e98lUqCnXlunBpz3d77SLAd3vCj7mytV++5SHjq8tf+3sAoB73feKG3uZYsdeIffC9+222GWQa/2PwW0TVSGk9Zmp2lj+Bj2D9527F0r+vLOerGM7FPvFqOBarcZyKH3oU/J2v+OU7+tv3F/GabcGdBzfqdhv71OFd/sr+pen5di18Nw6A0RVkMlVoAvkbJHmjFKgYkLwbnTghEw+7+fcMkMxE+8OtlQ00ZWVdvUY+Rv2zLPvmeTOX3LnN8pcw+tU++fHsX+1XGsm2Gs6Zc5wy/o9++udJ3/DXjKV68nX1h5g6jyyWdbxXYWOHQBQ+tAmDijl3Is/UvSsl4L3A9WaKu3qD2Qq1jnjawMJHeVJ6BjyWPQvT2c/byxFt+lfJHEG4kMXssy9Lk5+nFtnyrX1NwViq9lrp0iycq7tk7VOjitKJqaKfeGbz0iofMVUVvp1/5OVtEeutd/KvfZbOY7vlOP4TkUt+K98C/6r2FptMhcVHZ7v9xmo20lanz1C0XlgrXw5Rj86D6wJ2d9ft3PBYouqoED15nIeyS5IWRknZFyZ36HfI3nTgs+ZuGrZ++WT7J6OlXZMpmqjs3pdTt7e98nb7Q65Nv9q9+feOU+WN1Xu9d/Lvf77Im0b59w5P6T/t6/NpfaiqDlcfqn07XfSon2dNTpHPchxcK38jftm3899jhI6n1VMZuWEkKKct9MNeddkOoPo3/4ly5cmb4drgyMCrRS7eJVzTaic29Yp1pMCAAAoDU6XA5zq+tPrNZo3X8p9JXWq9Vnyfd+EznJsmiLJXmfTSj4Ycg3lPLg2e9+46jKVT79+jHvlF3IeyrF2ikKvw0wF+9gh12mpBbtOM1UbKW3U17KObLbXDVr3vRwpB+U8vEHOxA2KSvxPdtu4poUbbBROjpCixOmv/S0TkJV+QqZC9u/FcXiTYr65Pbh+qnG4lXHRi/K1HnHaY2Wc/4wy+v9Jrg0/yb12kpx7l9mttVd9Jfeqr3K0jRtxVmtw+hM6ybX1t+zY00+ENJ3ImRMcy6im/dulptkpolzrfwwdyFmhptKvGqNAzbNbW9Vfu72Mwx0cMOk4sDbkecfBtSFdHPwJnU5/QGMUPf1ZWSagjJ6/l8ksbmX9nnP+xgO5fu9ntQ4TAKBUYWYQUIpFzX0zpBDkr91eqSM/PWMhyDq2TY6D60IfNAG5l46Va9XXwYcSDwxQuwGNQ3aL/Wq04l9po/hX2ihuzNCQ51yrv7FHgOVuXeXzKHrOayEPBSrlbV+X5zWZ6wJ5+v0h+x/7c0xrt9KOZx7MH5xeL6f79MfNxVSqJ2+ve5V6+xSljvxM3g7XBqfOOw+uU/Ss/1Pc+0MU++XNcq0aH/Jab8uLZXK8n3vZp8E+3lbSXrky1/WRJH+tNiF9sJ27Fga/x/hX2si1ZmLox29zach915pJObYnhl7QN+iR/XniQ1vcuVd9lX0n7Zhcm3/J9fnr5vs61+ZfpNTsZD3kOFK+7QfljpGvzSVKv3qMUu+crox+f5S/ejNJdvLuXvGF4r68SXFjhipq9r+DhY7Cci//LOS+JzMhD4nfZenhBy3NO9RHRzKyZzi5V30tZS2amp4k9+rscxqIqy5/oz7B+9aJPSHnKGrum6eMyb/w4+C2ccXI2+HaU+6bH+fOeXJtmiITXTmkJZ+Jtn/3wd96ru2CtnkAAAAoLmebA5zq+nPZciklRbq59dchz+e+/owbMzR4nRb71eiQ57w5ZqFIknvJR8Ft55bpIeue+FpfcvqBSmnHFDXnDUmSZ/BfJYc9ZjbrOk2SrPTj9m2OglVhr9NM9ebyDHhEqXdNV9pV78vbaoSMK0aWjJx7lihm2j9U4YPz5dy9UNbJArbGLgDXmokh17zOXQvP/KICCJmd5UkOmSlkHdsh564FwfvGHRcy48axf7VivxqdXQhyxSj9sjfOWAgKiq4oX8frlHb950q57Wd5et4T/O05kvcrasmHivv0asV9PELu+W9LnpQCf67ceVrOdUyd2xNDimCLjvTQ7MTsfV2rxiv6p0ezC0GVGyht5GdnLATlzh0DS7/IfjKmkvxNB+bYd372gDdj8qxp5WsT+reRm2v1N3LuX6lAlYbynndb9hOZv+eQvCQ9e5u8BAAiAzODgFLKuekXRc1/K+QxE1NZMb8+k2dff4MeIeuXOPetUszPjylQMcGe1m455DiyWY4c/zif5KmkT449qf8kFHwGh+PQBkUt+0TGGa1AzVYyFWpInhQ5D60PGSEl6Yz/WO5e/EH22intr87+LPW7Z++zZqIy6naWa+PPwT7IJrZanmMVVKBeV2XU66qMwX9V5X3zlbHoMzl3zJVl/HLuWSzH4Q3ydbgm+wVx1eTtdoeiFrwjSXLuW664/41QoFozewRaVtFBkmfAnwsVi7fLKLlXfhFcJDU68RW7FYXDKcee7HYaJrpiyLn1tbpY7jUTgvejE/8j14afZSrUkHPfSlkZ2efB16BncGSXqVRX/oROcu5bIclut1fho4vlr9NRVtoROXMVD71nSMRMxdry9rhL3h532W0G1k6Se/2PstKPy3Fyn6IWjZE/oZP8zc8v1PdindwnZ46WG76GvU652GzXLpYGDnLrjXUP6ZnOdh9rx4ldivt4uAK128txYHUwwZQyi46FLCZK9sKv2rsyO6bWI6TYKgU/gN8b7JPu6ftASG94f/0ech5YLcexbXLsXaZAQme51n4rSTLOqDOP7AMAAChmZ5sDnOr6s2FGB40bcFRtqhTu+jMnf9PB8tc7T849SyRJUUs+lnP3YpnoiiHrbZqYyvL0+N1pjxU9+9+yMk7I12KY/A17Z79Hg+7Skg8l2QUVb4/fBa/TpNC8pVAcTvkb95O/cT9lZCTLtfEnudd+K+eeJbICPlkph/JdF8Y9/225ts7MfHNvyHOubTPl+Hxk8H7ajV8WPJwDaxQ97R/Z949uCXk+NsdxPb3ukb/pIEl2XuLKUfCJnvxnuZd9KhMVJ+eeZbJ82Z0OfC0vChbZJCl2/G0h64Oaiglyr5kQkudkSb/0tTyP5WSqNpKn74Py9HlAzt2L5Fo7Sa6NU2R5U+U4ulXRc9+Qv+ngAq8p5Gt5kfxL/ifnfvv6373ySzn2rZSJqSzn3iXB/fxy6ePNt8uRbHTLzZb9Pf7yVMigPhNfS9GzX87zHoHqzYOdMQoio+/Dcm6bKcvvlRXwKfbLm+Sv313Wyb0hHRW8bS5ToGarUx8o/YSiEv9jH3PQE5IrKvvz1O8h16Ypcu5ZLOv4Lpn4WnJt+MmON66GTLWmBY4XAFB6UQwCSqmcF8dZXDvy76Odc32ZnBwn98lxcl+ex48H6uj3c9/UeSPqnl1s/ozgxXGeWCyHPL3ulb/FBfk+L9mzaqIWvp+5dsqTISP1AjVaytv2CrnXTpJ71VdybpkmK3MGi79aUwXO0OKhQFzRcnS8QukNBspKPijXuu/lWjsp3/WIPL3vk3V8h9yZF8KOE7vlyFyHJ/h5Bz0RkjgWiDtO6Zf/VzHf3CFH5pT83OvDmOhKSr/09ZB2Cv7G/eQ579aQEWDOQ+ukXJNwApXqKuOCZ0MeSx/2omK/vjU4ms3KSJJrR6Jy8/S8W4FCJLeBOu3lqdNenoH2+kHutd/KuW1WgV+fk3vFF7KMP3jf2znvrKCc7rvH0o2jr1aTzVt1S/OPJUmOlMNy5GjtIEme824PKToWKqZloTOVvPnMVDr96z+R4+gW+Wu2lrfj9aHH6narXOu+kyP1sD3iNSo+OALP2/2uwhWdAAAAitHZ5AD5XX821xypSujrC3v9KctS+iWvKmb8bXIe2SxJch5YHRpTdEWlXfFfKe7Ug8kc+1fJtdpeOyVj0GMhz/mbDJCvQU+5di1QdOJ/5F76SfC63degp/xNBuZ3yMKJjpevw7XydbhW1vGdcq+eIPeysfnHenzXKb9/K+2YnIVosxfyWk/KKY8rKeS5nDOjfO2vkXfnfLkzuyVYMvmud+mv2UYZAx7J9Z6hua7j2DY5jm07m/BzHNSSv0EP+Rv0UMaQJ+Xa9Ivd3rqwM6Esh9IvfU2x428LzjBzHgotXBpnlI73e15bfmilwEZp/wGjep6UkEKQpGCxMjd/Ic+Vqd5M6cNfVszkR+yCkC9dru2zQ49Zv7syzn/6FEewRc15XY60o/I1HRQs6mXx9L7XXr/Xm6q4/10iuWKC3Tk8/f8oWTQWAoBIQDEIiED+hE7ydL7Jnu2SfMBumxVVQYFqzeRpOkTXvnC9DiXF6sHehVvXxdf+GikqXo69S+U4sdtOBvwe+9iVG8pfv5u87a865UyOLNEzM9dOaX+NAnU65Hk+48JnFajaSO7VE2Wd3CcTV02+poOU0ev+fEdWnQsTX0ve7nfI2/0OOQ5tzLuDw6WMEa/I3/wCuVaPl/PAWsmTIhNXTf563eQ979bg+i+FFajZUqm3fK+oxR/KuXW6HCf2SjIylerK17i/vOfdmm9LQM/Ax+RvMsie4r9vhb2WUsAXPMe+poPk7XyjFFUh9LNWa6LUW3+Qe8U4ubbOtEf9ZSRLTrdMhVry1+0kb4frFKjf7aw+j5xR8re4wP5HgLRjwfYIBebzhLTqC1SqJ3+zwad9Sa1alkbfJP1nzJ+1Jr2vnr1knNwHV9q9vWMqK5DQSd7ON8jfqO9pj3MqVsphuTZPDd731ztPgZqtC/765IOKmv+2JNmFz1zrDJkKNZV2wzhFzf63XDvmSZ4Uu1d951HydbrhrGIGAAAoSueSA+S+/jSH7OtPn3HLXa2mAnU7n/X1p6lQQ2mjxsu97FO5Nv5sFxP8PplKCfa1dPc7Q9Y/yXsAo+hpz8qSUUbP3wXXTgmyHEq/4m1FzX1Trg0/yUo9nLkezUXy9HnwnNbIzDecKg3l6XWvrOO7pHwGBpY6DqcyLvmPfJtHyL32OzkOrJaVekQyAfs6vHoL+VpcYHdecEad+XhFyR0nX9vL5Wt7uZ1PRsUX6uWmYh2l3jRB7mWfZP62dkgBn0x8bfkb9pLnvFsVXa2pOrQPaMVKaXaidH2PMx/3XPhbXKjU0d8qatGH9vqtKQclV6wCNVrI2+Yye+DbadY0dRxaL/fKL2WcUfasoFwCNVoqbeSniprzql3E8qXLX7udPN3vkr/lsOL8aACAEmQZY8yZd5OOHTu7USbnqmrVqmF7b5Q9/F7ObOUqo3sfMKpYUfp+oiWXq2iTmGLl8yh6yl8kSRnDXgiZ1l5Y/FYih8djNPo2o917pBuvl+69u+hHrfF7QUHxW0FB8VspflWrVj3zTqdRXs8Pv83IVFrO63/fDeizcdKQwdI/nmamQR6FzHdKy3ktr774yujNt426dpFe/0/R/Z45r5GJ8xqZOK+Rqyye24LkP1x9AeXMvPl2/bdnD5WtQhBwClFRlh683/4tfzVe2rGjQGMcAAAAUIKMMfotc8mbgQPIQ1D2Dehv365YIZ04QQ4CACj9KAYB5cy8+fZt754kYIgcfXpb6tNL8vmk1940KuCkVwAAAJSQzVukPXulqCipd89wRwOcu7oJlpo3k/wBac7ccEcDAMCZUQwCypHDh402b7HbW/co5p7GQEl78H5Lbre0cJHdtxsAAAClx28z7cE6vXpKcXEMTENkGNDf/i3PSmQwGgCg9KMYBJQj8xfat61bSVWrkIAhstSvb+n6kfb2G28ZZWSQkAEAAJQWWS3iBtEiDhGkfz/7duEiKS2N/AMAULpRDALKkfkLskfjAZFo9ChLtWpK+/ZLn40LdzQAAACQpG3bjXbslNxuqU/vcEcDFJ3mzaSEBMnjsQtCAACUZhSDgHLC5zNavNje7tmD0XiITLGxlu67x/59f/q50b59jM4DAAAIt6xZQd27SfHx5CKIHJZlaUB/e3vWbHIPAEDpRjEIKCfWrJWSU6TKlaQ2rcMdDVB8hgyWunS2R+e9+V8SMgAAgHDLWi+IFnGIRAP62b/rOfPsQZgAAJRWFIOAciKrRVz37pLTSRKGyGVZlv7woCWnQ5o5S1q0mIQMAAAgXHbuMtqyVXI6pX59wx0NUPTat5OqVJGSk6Vly8MdDQAAp0YxCCgn5i+wb3v1pBCEyNe0qaUrr7S3X3vDMEIPAAAgTGbOsm/P6ypVqkQugsjjdFrq38/ezpoFBwBAaUQxCCgHDh8x2rTZ3u7ZPbyxACXljlstVa4kbd8hff9juKMBAAAon2ZktYgbSCEIkWvIIPv3PXMWreIAAKUXxSCgHFiw0L5t3UqqWpUkDOVDxYqWbr/N/r1/8KFRcjJJGQAAQEnau89o40bJ4VBw5gQQibp0lqpUlo6foFUcAKD0ohgElANZ6wX16hnmQIASdvmlUqOGdlI29lOKQQAAACXpt5n2bZfOUtUqDEpD5HK5LA0cYG9Pm07eAQAonSgGARHO5zNatNjeZr0glDcul6X77rF/919/I+3ZS2IGAABQUrLWTxk4gDwEkW/okMxWcbMlr5e8AwBQ+lAMAiLcmrVScrJUqZLUpnW4owFKXu9eUvduktcrvfMeSRkAAEBJOHDQaO06ybKkAf3DHQ1Q/Dp1lKpVlU6elBYvCXc0AADkRTEIiHDzF9r/+N29m+R0MiIP5Y9lWbr/XksOhzTjN2nlKgpCAAAAxW3mLPu2YwepRnXyEEQ+p9PSoIH29vQZ5BwAgNKHYhAQ4RYssG9pEYfyrFlTSyOG29tvvGUUCJCcAQAAFKeZs2gRh/Inq1Xc7ETJ4yHnAACULhSDgAh25IjRxk32ds/u4Y0FCLc7b7MUGyutW589UhUAAABF7/ARo5Wr7O2BA8IbC1CSOrSXataQklOkhYvCHQ0AAKEoBgERbMFC+7ZVS6laNUbkoXyrXt3S9dfZ22M+NPL7GakHAABQHGbNloyR2rWVatciD0H54XBYGjzI3p5GqzgAQClDMQiIYFnrBfXqGeZAgFJi5LWWKlWSduyUpv4S7mgAAAAiEy3iUJ4NGWz/7hPnSBkZFIQAAKUHxSAgQvl8JjgtnfWCAFt8vKVRN9h/Dx9+bOT1kpwBAAAUpWPHjZYtt7cHDQxrKEBYtGsr1a4tpaVJ8xeEOxoAALJRDAIi1Np1UnKyVLGi1LZNuKMBSo+rr5SqV5P27Ze+/zHc0QAAAESW2YlSIGC3qq6bwKA0lD+WZWnIIHubVnEAgNKEYhAQoeYvsC86e3STnE6SMCBLTIyl0TfbfxP/+8QoPZ0EDQAAoKj8NtO+tho0kBwE5dfQIdmt4lJSyDcAAKUDxSAgQs1faN/26kUSBuR22SVSndrSkSPShEnhjgYAACAynDhhtGSJvU2LOJRnrVpKjRtJHo8047dwRwMAgI1iEBCBjhwx2rjR3u7ZPbyxAKWR223p9lvtQumnnxtG6wEAABSB2XMkf0Bq3kxqUJ9BaSi/LMvSsAvtv4Gfp5JrAABKB4pBQARauMi+bdVSqlaNJAzIz4UXSA0bSElJ0tffhDsaAACAsm/Gb/Y/eg8eRA4CDLtAsixp+Qpp7z4KQgCA8KMYBESgrPWCevUMcyBAKeZyWbotc3bQ1+ON0tJI0AAAAM5W0kmjxZkt4gYPCmckQOlQq5al87ra21OmhjcWAAAkikFAxPH5jBYutrd79WREHnA6gwdK9epKJ5Kk738IdzQAAABlV2Ki5PdLzZpKDRuQhwCSdNGwzFZxU4yMYfAZACC8KAYBEWbdeunkSaliRaltm3BHA5RuLpelUTfaCdrnXxp5PCRoAAAAZ2PGTFrEAbkN6CfFxkh79kqr14Q7GgBAeUcxCIgwWS3ienSTnE4SMeBMLrpQqlFDOnxY+pn2DQAAAIV28qTRoszuBIMGhjcWoDSJi7OCfxM/TWHgGQAgvCgGARFm/gL7lhZxQMFERVm6YaT99/LZ50Y+H0kaAABAYSTOlXw+qUljqXEj8hAgp4svsv8mfp0m1ikFAIQVxSAgghw9arRho73ds0d4YwHKkssukSpXsts3zJgZ7mgAAADKlhm/0SIOOJXOnaS6daXUVGn6b+GOBgBQnlEMAiLIgkX2bcuWUrVqJGJAQcXGWrr2Gvtv5pNPjQIBRuwBAAAURHIyLeKA03E4LF06ws41vv+BPAMAED4Ug4AIkrVeUC9mBQGFdtWVUlyctHWbNHd+uKMBAAAoG+bMlbxeqXEjqWkTBqQB+bn4IsnpkFavkbZuoyAEAAgPikFAhPD5jBZmzgxivSCg8CpVtHTl5fb2p5+RoAEAABTEbzOzWsSFNQygVKtR3VKfPvb2Dz+SawAAwoNiEBAh1q2XTp6U4uOltm3CHQ1QNl13jSW32x6xt2o1SRoAAMDppKQYLVhobw8ayIA04HSyWsX9PFXKyCDXAACUPIpBQITIahHXo7vkcpGIAWejenVLF15gb3/xFQkaAADA6cyZJ3m8UsMGUtMm4Y4GKN169pBq1ZSSkqRZieGOBgBQHlEMAiLE/AX2ba8eFIKAczHyWvtvaNZsac8eCkIAAACnktUibtBAybLIQ4DTcTotjRhub9MqDgAQDhSDgAhw9KjRho32ds8e4Y0FKOuaNrHUs4dkjPTVeJI0AACA/KSmmuCAtMGDKAQBBTHiYkuWJS1ZysAzAEDJoxgERIAFi+zbli3tNlcAzs3119l/Rz/+JCUlkaQBAADkNnee5PFI9etLzZuFOxqgbKhTx1KP7vb298wOAgCUMIpBQATIWi+oF7OCgCLR7TypWTMpPV369vtwRwMAAFD6ZLWIG0yLOKBQLh1h/71M/kny+SgIAQBKDsUgoIzz+40WLba3e/UkCQOKgmVZwdlBEyYaeb0kaQAAAFnS0ozm0SIOOCv9+krVqkpHj0kzZ4c7GgBAeUIxCCjj1q2XkpKk+HipbZtwRwNEjqGDpapVpUOHpekzPOEOBwAAoNSYt0DKyJDq1ZVaNA93NEDZ4nJZuuxSe/ubCQw6AwCUHIpBQBk3b7598diju31RCaBoREVZuuwSe/uzcenhDQYAAKAUmfGbnYMMokUccFauuMyS0ymtXCVt2kRBCABQMigGAWXc/Mz2DL16kIQBRS0rSVuy1KdNm0nSAAAA0tON5s23t2kRB5ydGjUsDRpgb4+fSJ4BACgZFIOAMuzoUaMNG+3tnj3CGwsQiWrWtDQwM0mbQJIGAACg+Quk9HQpoY7UqmW4owHKrquvsoupv/wqnThBrgEAKH4Ug4AybMEi+7ZlC6l6dUblAcXh6ivtv62pv0pJSSRpAACgfMtqETd4EC3igHPRob2dy3s80vc/hjsaAEB5QDEIKMPmL7ATsZ49wxwIEME6dpBatXIqI0P6YXK4owEAAAifjAyjufPsbVrEAefGsqzg7KCJ3xr5fAw8AwAUL4pBQBnl9xstWmxvs14QUHwsy9Ko62MkSRMnGfn9JGkAAKB8mr9QSkuX6tSWWrcKdzRA2Xf+EKlKZenAAWlWYrijAQBEOopBQBm1br2UlCTFx0vt2oY7GiCyjRgerUqVpH37FVwwGQAAoLyZNdseFDNwAC3igKIQHW3pyivs7S++NDKGgWcAgOJDMQgoo7JaxPXoLrlcJGJAcYqJsXTJCHt7/AQSNAAAUP74fNkt4gb0J/8AisqVl1uKcktr10mr14Q7GgBAJKMYBJRR8xfYt7SIA0rGlZdZcjikxUukHTsoCAEAgPJl+Qrp5EmpShWpfbtwRwNEjmrVLF14gb39xVfkGQCA4kMxCCiDjh41Wr/B3u7ZI7yxAOVFQoKl3r3s7e9+IEkDAADly+xE+/qnXx/J6WRAGlCUrrvW/puaNVvaucsf5mgAAJGKYhBQBi1YZN+2bCFVr04iBpSUKy6z/94m/yxlZFAQAgAA5YMxRrMzF7enRRxQ9Jo2sdSju2SM9Oln6eEOBwAQoSgGAWVQ1npBPXuGORCgnOnRXapT226RMn1GuKMBAAAoGes3SAcPSbGx0nldwx0NEJluGGkXWidMTNfx4ww8AwAUPYpBQBnj9xstWmxvs14QULKcTkuXZ84OmvQdCRoAACgfZmW2iOvVU4qOJgcBikO38+zuH2np0jcTyTUAAEWPYhBQxqxbLyUlSfHxUru24Y4GKH9GXCw5ndKatdKmTSRpAAAg8s2ebd/SIg4oPpZl6aZR9t/Y+AlSaiq5BgCgaFEMAsqYrBZx3btJLhfJGFDSqlWzNHCAvc3sIAAAEOl27jTavkNyuaTetKkGitXA/lLjRg6dPCl9+324owEARBqKQUAZM3+Bfdu7J4UgIFyuyGwVN/VXRuwBAIDINivRvu3aRYqPJwcBipPTaen2W2MlSV98ZeTxkGsAAIoOxSCgDDl2zGj9Bnu7Z4/wxgKUZ106Sw0bSGlp0tRfwh0NAABA8Zk12/7H6AH9KAQBJeHSS6NVs4Z05Ij005RwRwMAiCQUg4AyZMEi+7ZlC6l6dZIxIFwsywrODpr4nZExjNgDAACR5/Bho7Xr7O1+/cIbC1BeRLkt3TDSzjU+H2fk85FrAACKBsUgoAyZN9++COxJr24g7C4aJkVFSVu2SKvXhDsaAACAojd7jn3brq1Ug8FoQIm59BKpciVpz17pt5nhjgYAECkoBgFlhN9vtGixvd2rB4kYEG6VKlk6f4i9/e33jNYDAACRZ3ZiZou4/uQfQEmKjbV0zdX2392nn9OJAABQNCgGAWXEuvVSUpIUH2+PzAMQfpdntoqbPl06cYIEDQCA/2/vvsOjqN42jt8nnSSU0DvSQu8qvQgKCCgWmqKogCCKYu/tZ3ntBbDRRURRQBSQoqj03qT33nsJIf28fwwJRBIIsMmWfD/XlWtnZzaTs+wwM/c+Z87Ad5w+bbVsuTPdpLF72wJkR3ffKeXIIW3ZKs2b7+7WAAB8AcUgwEssXOR80XzD9VJAAD3zAE9QuZJUvpwUF8/NXQEAgG9ZsFBKTJSuu04qUZz8AWS1XLmM7rrDmR42gquDAADXjmIQ4CUWLnIe69UliAGewhijO9o7/yd/nUhAAwAAvmN28hBxjdzcECAbu6ezUY4c0uYt0uy57m4NAMDbUQwCvMDx41YbNjrTdW90b1sApHZLCyk0VNqzRylDqQAAAHiz2FirRec6ozVpRGc0wF3y5DHqeLczPXyEVVISnc8AAFePYhDgBRYudh7Ll5Py5yOMAZ4kNNSo5S3O9K8TCWcAAMD7LV8pnY2RChaQKlRwd2uA7K1LJ6OwMGnrNmnmbHe3BgDgzSgGAV5g/gLnC+YG9d3cEABpuuN2p0g7Z6505CgFIQAA4N0uzB/G0BkNcKdcuYw6dXCmh39rlZhI3gAAXB2KQYCHi4+3WnTuyqAG9QligCcqV9aoWlXnJsuTf3d3awAAAK6etVYLFjjT9euRPwBP0KmDUXi4tGOH9PdMd7cGAOCtKAYBHm7lv1J0tJQ3QqpU0d2tAZCe9ueuDpo4md56AADAe23fLh04KAUFSXVqu7s1ACQpZ06jezo7eWP4t1YJCeQNAMCVoxgEeLjkIRrq15f8/OiZB3iqm5pKuXJJhw5JCxe5uzUAAABXZ/5C57FObSkkhPwBeIqOdzt5Y/duacbf7m4NAMAbUQwCPJi1VvPODdHAEHGAZwsONmrT2pn+dSI99QAAgHc6f78g8gfgSUJDje7t4vy/HMHVQQCAq0AxCPBgO3dJ+/ZJgYHSDXXc3RoAl5M8VNzCRdL+/YQzAADgXU6etFqz1pmuX8+9bQFwsbvukPLkkfbuk6b/6e7WAAC8DcUgwIPNm+881q7l9AIC4NlKFDe6vo5krTTxd4pBAADAuyxaIiUlSWXLSIULkT8ATxMaatT1Huf/5rcjreLjyRwAgIyjGAR4sHnzGaIB8DZ3nLs6aPLvIpwBAACvknK/Uq4KAjzWne2lfHml/QekSb+7uzUAAG9CMQjwUBcO0dCwvnvbAiDjGjWU8uWTjh+XZs12d2sAAAAyJiHBatFiZ5rOaIDnCgkxeqDb+auDzp6lAxoAIGMoBgEeauGic0M0lJUKFyaMAd4iIMDo9nbO9C+/EswAAIB3WLtOOn1aypVLqlLZ3a0BcCm3tZWKFpWOHZfGjnd3awAA3oJiEOCh5i1IHiLOzQ0BcMXa32bk7y+tWi1t3kJBCAAAeL7kIeLq3Sj5+9MZDfBkgYFGPbs7/09H/2h18iSZAwBweRSDAA904RANDRmiAfA6+fMbNW3iTHN1EAAA8AbzFziP9ckfgFe4ubkzksiZM05BCACAy6EYBHigf1c5J3R58kiVK7m7NQCuxt13Ol+k/PGndOo04QwAAHiu/futtu+Q/P2kuje4uzUAMsLPz+iRh53MMe4X6dAhMgcA4NIoBgEeaN78c0PE1XNO8AB4n+rVnJ56sbHSlKnubg0AAED65i90HqtWlXLlIn8A3qJeXalGdSkuThrxHcUgAMClUQwCPIy1VnPnO9MNGxDEAG9ljNFddzj/hyf8apWURDgDAACeacHC5PuVkj8Ab2KMUe9zVwdNmSLt2kXmAACkj2IQ4GG2bZf27ZOCgqQbGaIB8Gotb5bCw6S9+6RFS9zdGgAAgIudPWu1fLkzXb+ee9sC4MpVr2bUsIGUmCQNGU4xCACQPopBgIeZM9d5vOF6KUcOeuYB3ixHDqM2tzrTEyYQzAAAgOdZtkKKi5eKFJZKX+fu1gC4Gr17Ghkj/TNT2rCB3AEASBvFIMDDzJ7rnLg1bkQhCPAFd54bKm7BImnvXoIZAADwLPMXJA8R5ww5BcD7lClj1KqlMz1oKJkDAJA2ikGABzlw0GrTJsnPT2rYwN2tAeAKJYob1b1Rslb65VeCGQAA8BzWWi1Y4EzXr0chCPBmPR40CgiQliyVli4jdwAALkYxCPAgc+c5j9WrSRF5CGOAr+hwt/P/edLvUlQUwQwAAHiGLVukw0ekkBCpVk13twbAtShSxOiO9s70oCFW1pI7AACpUQwCPMgchogDfFLdG6TrrpOio52CEAAAgCeYv9B5vL6OFBxMBgG83QP3GeUIkdZvkGbPcXdrAACehmIQ4CFOnrRaudKZbtTQrU0B4GJ+fkZdOjpfsIwdb5WQQC89AADgfufvF0QhCPAFERFGXTo704OGkDsAAKlRDAI8xPyFUmKSVLasVKwoYQzwNbfcLEVESIcOSX/PdHdrAABAdnf8hNW69c50/brubQsA1+nSySh3LmnXbmnqNHe3BgDgSSgGAR4ieYi4Jo3c3BAAmSI42OjuO51C75ifGcMbAAC418JFkrVSZHmpQAE6owG+IizMqNv9zv/p4d9axcaSOwAADopBgAeIibFatNiZ5n5BgO+643YpOFjatElasdLdrQEAANnZgoXOF8T167m5IQBc7o7bpUKFpMNHpHG/uLs1AABPQTEI8ABLl0mxsc7JWvly7m4NgMySJ4/Rra2d6TE/00MPAAC4R0LC+c5o3C8I8D3BwUY9uzv/t0eNtjp1iuwBAKAYBHiE2eeGiGvcSDKGMAb4ss4djYyR5i+QduwklAEAgKy3arV05oyUJ49UqaK7WwMgM7S8WSpbRoqKkr7/gdwBAKAYBLhdQoLV/PnOdBOGiAN8XoniRo0aONM/jSWUAQCArDd/wbkh4upKfn5kEMAX+fsbPdLL+f89brx08BDZAwCyO4pBgJutWi2dOCnlyiVVr+bu1gDICl06O6Fs2nTpyFFCGQAAyFrzFziP9RkiDvBp9epKNWtIcfHSsBHkDgDI7igGAW72z6zzQ8QFBBDGgOygejWpWlUpPl76iXsHAQCALLRnj9Wu3ZK/v3Tj9e5uDYDMZIxRn97nO6Jt20b2AIDsjGIQ4EZJSVazZzvTzZpSCAKyC2OMut3n/J//9Tfp5ElCGQAAyBrzFzqPNapL4eFkEMDXVals1KyplJQkfTOE3AEA2RnFIMCNVq+Rjh6TwsOk62u7uzUAslK9ulL5ctLZGGncL4QyAACQNRYsdM47GjBEHJBt9Opp5O/nDBG58l+yBwBkVxSDADeaeW6IuEaNpMBAwhiQnRhjdP+5q4PG/SJFRxPKAABA5oqOtlqx0pluUM+tTQGQhUqWMLqtnTP99SAra8keAJAdUQwC3CQpyWoWQ8QB2VrTxlLJEtLp09KvE93dGgAA4OuWLJMSEqTixaQSJdzdGgBZ6cEHjEJCpLXrpNlz3N0aAIA7UAwC3GTdeunQYSlHDumGOu5uDQB38Pc3uu9epxg85ier2Fh66AEAgMwzf4FzrlG/nnOVMoDsI38+o84dnekhw6wSE8keAJDdUAwC3CR5iLiGDaTgYIIYkF21vEUqVEg6dlz6faq7WwMAAHxVUpLVwoXONPcLArKnezob5cwp7dgp/THD3a0BAGQ1ikGAG1hrNXOWM30TQ8QB2VpAgNG9XZz9wA8/WiUk0EMPAAC43qZN0tFjzsgENWu4uzUA3CE8/PzIBMNHWMXHkz0AIDuhGAS4wcZN0oGDUkiIVPdGd7cGgLu1ayPljXD2C9Omu7s1AADAF80/d1XQjTdIgYF0SAOyq7vvlPLllfYfkCb97u7WAACyEsUgwA2Sh4irX08KCSGIAdldcLDRvfc4+4Jvv6OHHgAAcL3z9wsifwDZWUiI0QPdnP3AyO+sYmLIHgCQXVAMArLYhUPENWtCEAPguLO9lC+fc3XQ5Cnubg0AAPAlh48kacNGZ7p+Xfe2BYD73dZWKlLYGTpy/AR3twYAkFUoBgFZbMtWac9eKSjIuTIIACTn6qBuXZ0C8XejrGJj6aEHAABcY86cOElSxQpSvnx0SAOyu8BAo+4POfuC73+wiooiewBAdkAxCMhif890TrLq3iCFhhLEAJx3WzupYEHp8BHpt0nubg0AAPAVs+bES5Ia1Cd/AHC0vFm6rpR0+rQ05meKQQCQHVAMArKQtVZ//e1Mt2hOEAOQWlCQ0QP3n+uhN5rxuwEAwLWLi7Oav8C5MqhBfTc3BoDH8Pc3eriHkz1++lk6fpzsAQC+jmIQkIU2bJT27ZNCQqSGDdzdGgCeqO2tUpEi0rHj0i+/urs1AADA2/27SoqOlvLllSLLu7s1ADxJk8bO8JFnY5zh4gAAvo1iEJCFZvztnFw1bCDlyMGVQQAuFhBg9FA3Z/8w+ger6GhCGQAAuHrzFzjnEvXrSX5+ZBAA5xlj1PthZ78w4Vfp4CGyBwD4MopBQBZJSrL6+9wQcTczRByAS2h5i1SihHTylPTzOHe3BgAAeCtrreYvcKbrc78gAGm4vo5Uq6YUFy99N4piEAD4MopBQBZZvca5KXx4mFT3Rne3BoAnCwgw6v6g84XNjz9ZnTxJKAMAAFdu925p7z4pMFC6oY67WwPAExlj1LO7kz0mT5H27yd7AICvohgEZJE//3JOqJo0dm4SDwCX0uImqVxZ6cwZadRoAhkAALhy8xc6jzfUCVRoKBkEQNpqVDe64XopMVEaydVBAOCzKAYBWSAhwWrmTGe6BUPEAcgAPz+j3r2c/cUvExi/GwAAXLnk+wU1aRLo5pYA8HQ9HnKyx9Rp0t69ZA8A8EUUg4AssHyFdOKklCe3VKe2u1sDwFvUu1GqWcMZv3v4twQyAACQcadPW/27yplu2iTIvY0B4PGqVjGqV1dKTJK+/Y7sAQC+iGIQkAVm/O2cSDVr6twLBAAywhijR3qd76G3YyehDAAAZMzipc6QT9eVkkqW8Hd3cwB4geSrg6b/Ke3aRfYAAF9DMQjIZHFxVrNnO9MMEQfgSlWtYtS4kZSUJA0eSiADAAAZM3++c97QoL6bGwLAa1SqaNSwgZM9RnB1EAD4HIpBQCZbvESKOiPlzy9Vr+bu1gDwRg/3MPLzk2bPkdauI5QBAIBLS0y0WrDImW5Qnw5pADIu+eqgGX9J23eQPQDAl1AMAjLZn385J0/Nm0n+/gQxAFeuTGmj1i2d6W8GW1lLKAMAAOlbu046dUoKD5eqVnF3awB4k8jyRk2bSNZKI0aSOwDAl1AMAjJRdLTV3HnONEPEAbgW3R8yCgyUVqx0rjgEAABIz/wFzhe49epyz1IAV677g85+4+9/pK3bKAgBgK+gGARkollzpNhYqXhxqXIld7cGgDcrXMjorjuc6UFDrJKSCGUAACBt8xc4jwwRB+BqlC1j1PwmZ3r4t+QOAPAVFIOATPTnDOekqdUtRsYQxABcm/u7GoWGSps2O730AAAA/mv/fqtt2yV/P6neje5uDQBv9dADRsZIs2ZLmzZTEAIAX0AxCMgkR45aLV3mTLe82b1twdXZvn27Xn/9dbVt21aNGzfWHXfcoY8//lgnTpzI8Dreffdd1atXT/Xq1dPKlSsvWp6UlKTBgwerXbt2atq0qfr06aPNmzenua6EhAR17dpVDz/88FXdMya5HZcyefJk1atXT2+99Vaa8y/8adasmdq1a6c+ffroiy++0LZt2654vbgyefIY3dvFKSwPGWaVkEAoAwAAqc1f6DxWqyblykWHNE+VZtb49DMdj47P8DpefvllssYl1otrU/o6o5tbONPDRpA7AMAXUAwCMslff0tJSc4NW4sVI4R5m6VLl+qhhx7SH3/8ofDwcDVs2FBBQUEaN26cunXrpkOHDl12HcuWLdOkSZMueVXYqFGjNHz4cIWFhemGG27QmjVr9MQTT+jMmTMXvXbs2LHavn27nn32WbddaVa8eHG1adNGbdq0UZMmTVSmTBlt375d33//ve6991698cYbabYdrtOpgxQRIe3dJ0363d2tAQAAnmbefOdLW4aI81zpZo1fJuieISt08FTsZdexbNkyjR8/nqyBTPVQNyM/P2nefGn9BgpCAODtAtzdAMBXTf/TOVFqeQshzNvExMTo9ddfV0xMjHr06KGHH35YkmSt1RdffKHRo0fr3XffVf/+/dNdR2xsrN5//32VKVNGYWFhWr169UWvSUhI0Pfff6/y5ctr2LBhCgoK0rRp0/Tmm2/q119/VdeuXVNee/ToUQ0dOlR33HGHKlSo4Po3nUHVq1fX66+/nmqetVbz5s3TJ598ounTp+vQoUMaOHCgAgI4xGSG0FCjB++XPhtg9e1Iq9YtpRw52M8AAAApOtpqxUpnukF9tzYF6bhk1hjQX6N/HKP/Tdqszzqmv47krFG+fHmFhISQNZBpSpY0anmL1bTpztVBH39A7gAAb8aVQUAm2L7DatMmyd9fat7M3a3Blfrnn3907NgxlSpVSj169EiZb4xRnz59VKRIES1atCjdIRYkafjw4dqzZ4+ef/75dIPKvn37dPr0ad1yyy0KCgqSJLVs2VLBwcHatGlTqtd++eWXCggIUO/evV3wDl3LGKNGjRpp2LBhKlCggFasWKHx48e7u1k+7fbbpCJFpKPHpLH8UwMAgHOWLpPi46WiRaVSJd3dGqTlklmjdy8VzROsBdtOaPPmLemuIzlrvPnmm2QNZLoH7zfy95MWLpLWrOXqIADwZhSDgEzwxwznBKleXeceH/AuGzdulCTVrFlTfn6pd5MBAQGqXr26JGn27Nlp/v6WLVs0evRotWvXTjVr1kz375w+fVqSlDNnzpR5fn5+CgsLS1kmSatWrdLUqVPVp08f5c6d+6reU1bImzdvSs/GsWPHurk1vi0w0Ojh7s6+ZfSPVidPEsoAAIA0f0HyEHFy21BfuLTLZY2axXNJkmbPnZvm71+YNa6//vp0/w5ZA65SvLhR69bO9NDh5A4A8GYUgwAXS0qy+vNPZ5oh4rzT2bNnJaUOThdKDklpXRmUlJSk999/Xzlz5lTfvn0v+XcKFy4sSdq1a1fKvFOnTunEiRMqVKhQyvo+/vhjVaxYUbfffvuVv5ks1qJFC/n5+WnPnj0Zuq8Srt7NLaSyZaUzZ5yCEAAAyN6SkqwWLHSmG3K/II912awR6lzps3nLxVcGkTXIGu7y4P1G/v7O1Ycr/yV7AIC3ohgEuNjqNdKBg1JoqNSogbtbg6uRJ08eSdKBAwfSXL5v3750l48bN05r1qzR448/ftmedfny5VOFChX0+++/a+XKlTp16pT69++vpKQkNWzYUJL0yy+/aPPmzXr22Wcv6jnoicLCwlS0aFFJ0vbt293cGt/m52f0yMPOFz3jfpEOHSKUAQCQnW3a5AwhmyOHVKO6u1uD9Fwua+w9Hntu+cGLlpE1yBruUqSI0W1tnekhw6ysJXsAgDfijnuAi03/0zkpatZUCg6mR543qlWrlkaOHKn58+frxIkTKYFNkg4dOqQlS5ZIkqKjo1P93qFDh/TNN9+odu3aatOmTYb+1hNPPKEnn3xSjzzySMq8Bg0aqFGjRjp58qQGDx6sdu3aqUqVKinLY2NjFRgYeNWBrV69elf1exmVJ08e7dmzR6dOncrUvwNnKMoa1aV/V0kjRlq98Bz7HAAAsqt554aIq3uDFBTEOYGnumTWOHxYi7afkETWSA9Zw3263Wc0ZarVv6ucK4RuSH+UQgCAh6IYBLhQXJzVPzOd6VYMEee16tatqwoVKmjjxo166qmn9Oyzz6p06dLaunWr3n//fSUkJEi6eBz2jz76SPHx8Xr++ecz/Lfq1KmjkSNHaurUqYqKilKVKlXU+tyAzF999ZUk6bHHHpMkLVmyRJ9++qm2b9+u4OBg3XrrrXrqqacUHBx8Re/vUuFxz549WrVq1RWt77+Se4kxTn3mM8bokV5Sn75Wv0+VunSyKlWKf3cAALKjeQucxwYMEefRLp013lNi0rlzaT+yRlrIGu5TsKBR+9utxo53rg66vg6fAwB4G4pBgAvNnS+dPi0VyC/VrOHu1uBqGWP0/vvv65lnntH69evVo0ePlGV58+ZVz549NWjQIOXKlStl/t9//605c+aoe/fuuu66667o75UpUyYlhCVbv369Jk2apKefflp58uTRoUOH9Oyzz6ps2bJ67733tH37dg0bNkwhISF68sknr+jvvf766+kumzx58jUHtJMnT0pSqn8fZJ5qVY0aNbSaO88JZe+8RSADACC7OXzYatMmyRjnymF4rstljd5NSurLmTuV64J7CpE1ziNruNd99xpN+t1q3Xpp/gKpIUPjA4BXoRgEuNCUqU4vpdatJX9/vpD1ZkWKFNF3332nWbNmafXq1YqNjVXp0qXVqlUrzZw5U5JUunTplNfPnTtXkrR48WKtWLEi1bo2b94sSfr0008VFhamtm3bql27dun+bWutPvroI5UrV0533nmnJGn8+PGKi4vTO++8o6JFi+qmm27Snj17NH78eD3yyCMKCQlx5du/amfOnNHevXslpf73Qebq1cNo3nyrmbOldeutKldi/wMAQHayYJHzWKmilDcv5wGeLt2scXNzzf3qSUkZyxqBgYFkDWSpfPmM7r7TavSP0tDhVvXrOfcyBQB4B4pBgIscPmy12LmVjNq05mTIFwQEBKhFixZq0aJFqvmrV6+WJNWuXfui31mzZk2669u0aVO6v3ehSZMmaf369frmm2/k7+8vSdqxY4fy5MmTcsNUSapcubKmTJmi3bt3q3z58hl7U5lsxowZstaqZMmSKlCggLubk22UKWPUuqXV1OnSN4Ot+n/KkA0AAGQnc+c6ndIYIs57pJk1EuK0ardzL5zatWpe9DtkDbKGJ7i3i9GE36w2b5FmzZZuaubuFgEAMopiEOAi0/6QkpKcm7mXKE4I81VHjx7V33//rdy5c6tZs2Yp819//fV0h0To06ePVqxYoW+++UY1a9a85PpPnz6tr7/+Wrfeeqtq1Eg91mBsbGyq5zExMZJ01Td3dbVjx45pyJAhkqROnTq5uTXZT4+HjGb8bbV8hbRkqXTjDe5uEQAAyArR0VZLlznTTRq5ty24NkePHtWM9UeVJ0eAmjVtmjI/vawRERGhLl26kDWQpXLnNurc0WrESGnYCKsmjRkZBQC8hWcc1QEvZ63V7+eGiGtzKydBvmDr1q0XBaJDhw7pueeeU3R0tJ544olMGS5h0KBBiouLu2hc7zJlyig6OlqzZ8+WJCUkJOjvv/9WUFCQihUr5vJ2XAlrrebPn68ePXroyJEjuv7663XHHXe4tU3ZUeHCRne2d6a/GWKVdO7mwwAAwLctWizFxUvFikqMnOUd0s0aL76sM3GJeuqW0goJDnb53yVrwFU6dzTKmVPasVP68y93twYAkFFcGQS4wOo10p49Uo4Q6aaml389PN/o0aM1a9YsVahQQfnz59exY8e0atUqxcXFqXv37mrbtq3L/+bmzZs1YcIEPf7448qXL1+qZR06dNBPP/2kV199VXXr1tWePXu0fft2devWLUvH8F61apXeeustSU5IPHnypDZu3KgTJ05Ikm699VY9++yzCgjg8OIO999nNHmKcwPpf2ZJLW5yd4sAAEBmmzvP6QDSuBHDxHqLS2WNhxuX0O01Cin28qu5ImQNuFJ4uNG9XaRBQ6yGDrNq3kwKCmL/AwCejiMo4ALJVwXddJMUGsoJkC9o2rSpjh07ps2bN2vVqlXKmTOn6tWrp86dO6tOnTqZ8jc/+eQTXXfdderQocNFy/Lly6fPP/9cAwcO1MKFCxUeHq6uXbuqV69emdKW9OzZs0d79uyRJAUHBytnzpwqXbq0qlSpojZt2qhMmTJZ2h6kFpHH6J7OznANQ4ZaNW0sBQSwTwIAwFclJFjNW+BMN27EMd9bpJs1OtytBofHZsrfJGvA1TreLY2fIB04KP06Uep08aYFAPAwxlqboXFkjh8/ntltSVNERITb/ja8jzu2l+hoq/Z3W509K305wKhGdUJYpkmIU/D0lyVJsa3+TwoIuupVsW/BlfCm7SU62qrTvVYnTkjPPm10x+3sk7KSN20rcC+2lcwXERFxTb+fXT8ftk3vsmy5Vb+nrfLkln77xaR73w4+Vy9xhXmHz9U3edPnOnGy1YcfW+XOJf30g1F4ONkjPd70uSLj+Fx9lzd+thnJP9wzCLhGM2dJZ89KxYtJ1au5uzUAsrvQUKMH7ndC2IiRVjEx3DsIAABfNWeuc5xv2JAbuAPIem1aSyVLSCdPST/+RO4AAE9HMQi4RlOmOSc8bW41jNENwCO0v00qUlg6elQaO97drQEAAJnBWqvZc53pxg3JIQCyXkCAUe9ezv7np7HSkaMUhADAk1EMAq7Bnj1WK/+V/Pyk1i3d3RoAcAQFGfXo7oSy0T9YnTpFKAMAwNds3iIdOiSFhEg3XO/u1gDIrpo0kqpUlmJipG+/I3cAgCejGARcg9/PXRV0fR2pYEF64wHwHLe0kMqWkaLOSN//SCgDAMDXJA8Rd+MNUnAwWQSAexhj9Mi5q4MmTZJ27SZ7AICnohgEXKWEBKspU5zp29sRvgB4Fn9/o149nX3TuPHS4cOEMgAAfMmc5CHiGpFFALhXrZpGDepJiUnS4CHkDgDwVBSDgKs0d5509JiUN0Jq1NDdrQGAizWoL1WvJsXFScNHEsoAAPAV+/Zbbdkq+ftJDeq5uzUAIPXuZeTnJ82cLS1fQfYAAE9EMQi4Sr9Nck5u2rZxbpoIAJ7GGKPeDzv7pylTpF27CGUAAPiCueeuCqpeXcqdmywCwP3KljG6/TZnuv8XVgkJZA8A8DQUg4CrsHev1ZKlkjHSbQwRB8CD1ahu1KD+uSEbhhHIAADwBbPP3S+IIeIAeJKHuxvlzClt3SpN+t3drQEA/BfFIOAqTPrdCV83XC8VLUIAA+DZej9sZIw0c5a0fgMFIQAAvNnx41arVjvTjRmuGoAHyZ3bqOdDznckQ4ZZnTpF9gAAT0IxCLhC8fFWv091ptvfTiEIgOcrW8ao5S3O9DeDCWQAAHiz2XOlpCSpYgWpCB3TAHiY9rdLZUpLp05JQ4aTPQDAk1AMAq7QnHnS8eNSvrxSw/rubg0AZEzPh4wCAqRly6UlSwllAAB4q5mznON40yYUggB4noAAoyefcPZPv/4mrVtP9gAAT0ExCLhCv010TmTatnFOcgDAGxQpYnRHe2f6m8FW1hLKAADwNidPWi1f7kw3a+retgBAemrXMmp1i2St9NEnVgkJZA8A8AQUg4ArsGeP1bLlkjHS7e0oBAHwLg/cZ5Qjh7Rxk/TPLHe3BgAAXKm586XEJKlcWalEcfIIAM/V91GjnDmlzVuk8RPc3RoAgEQxCLgiE393erPUvVEqXJjwBcC7REQYdenkTA8eSg89AAC8TfIQcc2akkUAeLaICKM+vZ191dBhVgcPkT0AwN0oBgEZFBtrNWWKM81VQQC8VZdORnlyS3v2SL9PdXdrAABARkVFWS1Z6kwzRBwAb9CujVStqnQ2RvrkU4aqBgB3oxgEZNDf/0gnTkoFC0oN6ru7NQBwdcLCjLrd7xS0R4y0iokhkAEA4A3mzZcSEqTrSknXlaJzGgDP5+dn9NwzRoGB0vyF0tRp7m4RAGRvFIOADLDWatwvzhemd7Y3CgggfAHwXnfcLhUuJB05Io37xd2tAQAAGXF+iDg3NwQArkCZ0kY9HnK+Q+n/hdUhhosDALehGARkwNp1zg3XgwKl29q6uzUAcG2Cgox6dHcC2fc/WJ06TSADAMCTRUdbLVrsTHO/IADepksnqXIl6cwZ6f2PGC4OANyFYhCQAeMnOCcqN7eQ8uQhfAHwfi1vlkpfJ0VFST/8SBgDAMCTLVgoxcVLxYtJZcu4uzUAcGUCAoxeedEoKEhavET6daK7WwQA2RPFIOAyjh61+memM33XnRSCAPgGf3+j3g87+7Sx46UjRygIAQDgqf65YIg4Y8gkALxPqVLn88fAL6w2byF/AEBWoxgEXMbEyc6NWqtWkSpWIHgB8B0NG0jVqkqxsdKIkYQxAAA8UUyM1cJFznSzJuQRAN6r491Sg3rOlY6v/88qOpoMAgBZiWIQcAkJCVa/TnROTrgqCICvMcbokV7Ovm3y79Ku3YQxAAA8zfyFUkyMVLiQVKGCu1sDAFfPz8/o5ReNCuSXdu+WPvmM+wcBQFaiGARcwqzZ0tGjUt4I6aam7m4NALhejepGDepJiUnS0OEEMQAAPM2Mv5zjc4vmDBEHwPvlyWP05utG/n7S9D+l37h/EABkGYpBwCWMn+AEr/a3S4GBBC8AvqnXw0bGSH//I61bT0EIAABPERVltXChM31zC/IIAN9Qo7rRwz2dfdpnA6xWrCSDAEBWoBgEpGPzZqtVqyV/f6n9bQQvAL6rXFmjVi2d6QFfMFQDAACeYvYc594a15WSypV1d2sAwHW63uNc8ZiYKL36utW+/WQQAMhsFIOAdCRfFdSsiZQ/P8UgAL7tkYeNcoRIa9ZKf/7l7tYAAABJmvG3k0lubmEYIg6ATzHG6KXnjSpESidPSS+9YhUdTUEIADITxSAgDSdPWv0xw5m++y5CFwDflz+/0X1dnf3dN4Oszp4liAEA4E7Hj1stW+ZM39zcvW0BgMwQEmL03jtGeSOkrdukV9+wSkgghwBAZqEYBKRh8hQpLk4qX06qVtXdrQGArNGlk1S4kHTosPTDGEIYAADu9M8sKTFJqlhBKl6cDmoAfFPBgkYfvGcUEiItXiJ98BHDVgNAZqEYBPxHQoJNGSLu7rsYjgFA9hEcbPRoH2ef98MYaT/jdgMA4DYz/jo/RBwA+LJKFY3eesPI30+aOl0aOpwcAgCZgWIQ8B//zJIOHZIiIqRbWri7NQCQtW5qKtWqKcXGSp8NoFceAADucOCg1arVkjFSi5vc3RoAyHwN6hs9+7RT/B45ShrzMzkEAFyNYhBwAWutfjp3wnH3nUbBwfTCA5C9GGP0zFNGAQHS/AXSnLnubhEAANnP3/84jzWqSwUKkEkAZA+3tTPq2d3Z533xldW4XygIAYArUQwCLvDvKmnDRikoSGp/u7tbAwDucV0po3u6ONOfD7CKjiaEAQCQlVKGiGtOIQhA9vJgN6MH7nemPx9g9etvZBEAcBWKQcAFkq8KurWVFJGH4AUg+3rgPqMiRaRDh6Vh3xLAAADIKrt2WW3aLPn7S82aurs1AJD1enY3uvceZ/rjz6wmTSaPAIArUAwCztm9x2rufGe6UwcKQQCyt5AQo6f7OfvCceOkDRsIYAAAZIU/z10VdMP1Uh46qAHIhowx6tPLqFMH5/mHn1hNmUoeAYBrRTEIOOfncVbWSg3qS6VKEboAoH49oxY3SYlJ0nsfWsXHE8AAAMhM1lpN+8OZbnkzmQRA9mWM0eOPGd11h2Stk0cmTyGPAMC1oBgESDp50mrKVGe6SydCFwAke7KfUZ7c0tZt0vc/uLs1AAD4tlWrpf37pRw5pCaN3d0aAHAvY4ye6ne+IPT+hwwZBwDXgmIQIOm3SVJsrBRZXqpV092tAQDPEZHH6MknnCL5yFFW27YRvgAAyCzTpjvH2ZuaOUO2AkB2l1wQ6nCX8/yDj61+m0QmAYCrQTEI2V5srNX4X5wTic4djYwhdAHAhVo0lxo1lBISpHffZ7g4AAAyQ2ys1d8znelbW5FJACCZMUb9HjfqeLfz/KNPrH6dSCYBgCtFMQjZ3tTp0tFjUsECUvOb3N0aAPA8xhg9+5RRzpzSxk3SsBEELwAAXG3OXOnMGalwIalGdXe3BgA8izFGT/Q16tzRef7xp1a//EouAYArQTEI2VpCgtUPY5yThy6djQID6YEHAGnJn9/oxeecfeToH6VlywleAAC40tRzQ8S1biX5+ZFLAOC/jDHq+6hRl07O808/Pz/SCwDg8igGIVv7Z5a0b5+UO5d0W1t3twYAPFvTJka33+bcvPXt/7M6cYLgBQCAKxw5YrVkqTPdqiWFIABIjzFGj/UxureL8/yzAVZjx5NLACAjKAYh27LW6vsfnBOGjh2McuQgdAHA5Tz+qFGpktKRI9L/vW+VlETwAgDgWv0xQ0pKkqpVlUoUJ5cAwKUYY9Snt1HXe5zn/Qda/TyWXAIAl0MxCNnWgoXS1q1SjhzSXXe6uzUA4B1y5DB68zWjoEBp/kLp2+/c3SIAALybtVbTUoaIoxAEABlhjNEjvYzuv895PuBLq58oCAHAJVEMQrZkrdWo0c5Jwp3tpVw5CV0AkFHlyxs9+7Sz3xz+rdXceYQuAACu1uYt0rbtUlCg1LyZu1sDAN7DGKNePYweuN95PvBLqx9/IpsAQHooBiFb+neVtHqNE7g6daQQBABXqs2tRnfd4Uy//X9Wu3YRugAAuBpTpznH0EaNpJx0UgOAK2KMUc/uRg894Dz/8mur0T+STQAgLRSDkC0lXxV0a2spfz4CFwBcjccfM6peTTpzRnr+ZasTJwhdAABcibg4qz9nONOtW5JLAOBqGGPU4yE/dX/Q2Y9+Pej8aDAAgPMoBiHb2bTZatFiyc9PurcLgQsArlZgoNHbbxoVLiTt2SO99KpVbCyhCwCAjJozTzpxUsqfX7rxBne3BgC8W/cHnauEJGnQEApCAPBfFIOQ7Xz/g3My0KK5VKwYxSAAuBb58hl99IFReLgz/Obb71olJRG6AADIiEmTnWNm21ulgACyCQBcqwe7GfXqeb4g9NNYsgkAJKMYhGxl9x6rmbOc6fvuJWwBgCuUvs7ovXeMAgOlmbOl/gOtrCV0AQBwKXv3Wi1dJhkjtWtDNgEAV+l2n0kZMm7gl1a//Eo2AQCJYhCymdE/WCUlSQ3qS2XLELgAwFVq1TR6+UVnvzp+gvTNYApCAABcyuQpznHyhuulIkXIJgDgSg89IN13rzP96ec2ZZ8LANkZxSBkG/v2W02d7kzf35WwBQCudksLo2efcvavo3+URo5yc4MAAPBQCQlWv09xpm9vRzYBAFczxqj3w0adOjjPP/jI6o8/KQgByN4oBiHb+G6UVWKic2PWalUJXACQGe5ob9T3UWcfO3Q4N20FACAt8xZIx45LeSOkRg3d3RoA8E3GGD3+mNEd7SVrpXfes/p7JvkEQPZFMQjZwt69VlOnOdPJ48YCADJHl05GPbufv2nr0OFJDBkHAMAFJk12jou3tpYCAsgnAJBZjDF6up9R2zZSUpL0v7et5swlmwDInigGIVsYOcoqMUmqe6NUtQphCwAy24PdjB7p5exvv/1O+uob7iEEAIAkHThgtWixM31bW7IJAGQ2Pz+j558xanmzlJgovfam1YJFZBMA2Q/FIPi8PXuspv/hTPd4iLAFAFnlvnuNnnzC2e/++JP03odWCQmELgBA9vb7VCtrpTq1peLFyScAkBX8/Y1eftGoWVMpIUF65TWrpcvIJgCyF4pB8HnfnrsqqH49qXIlwhYAZKUOdxm9+JyRn580Zar03ItWZ84QugAA2VNCgtXk351prgoCgKwVEGD05mtGjRpKcXHSi69Y/buKbAIg+6AYBJ+2a7fVH38609wrCADco11bo/ffNQoJkZYslR59wurwYUIXACD7WbhIOnxEyp1LatLY3a0BgOwnIMDorTeM6t4oxcRIz75gtWYt2QRA9kAxCD5t5HdWSUlSg/pSpYoUgwDAXRrUN/ric6O8EdLWrVLvR622bCV0AQCyl/ETnGNf27ZSUBD5BADcISjI6P/eNqpTWzp7Vnr2easNG8kmAHwfxSD4rF27rP78y5nmXkEA4H4VKxoN+sqoVEnp0GGpz2NWM2cRugAA2cPOnVZLlkrGSHfeTj4BAHcKDnZGL6heTYo6Iz39HJ3VAPg+ikHwWSPOXRXUuKFUIZKwBQCeoEgRo6+/PNcLL0Z69Q2rQUOTlJhI8AIA+LYJvznHuoYNnOMhAMC9cuQw+uh9o8qVpFOnpCefsdqxk1wCwHdRDIJP2rHTasa5q4K4VxAAeJZcOY0++dCoSyfn+ajvpRdetjp9muAFAPBN0dFWU6Y503ffST4BAE8RFuZkk8hI6cQJqd/TVrv3kEsA+CaKQfBJw0ZYWevclLV8ecIWAHiagACjvo/66fVXjYKCnBtqP/yI1bbtBC8AgO+Z/qcUHS2VLCHVqe3u1gAALpQzp9FnHxmVLSMdPSr1e8pq335yCQDfQzEIPmfDBqt/ZjpjcXOvIADwbC1vNvrmS6PChaQ9e6Xej1rNmk3wAgD4Dmutxk9wjm133Wnk50dGAQBPkzu30eefnL+/ab+nrA4cJJcA8C0Ug+BzBg11DtYtb5HKliFoAYCniyxvNHSQUe1a0tmz0iuvWw0emqSkJMIXAMD7LV0m7dgh5QiRWrd0d2sAAOmJiDDq/6lR8WLS/gPSY09Y7dpNJgHgOygGwacsXBSvJUulgACpJ1cFAYDXyJPH6NOPjDp1cJ5/9730IvcRAgD4gDE/O8eytm2l8HAyCgB4svz5jfp/ZlSihHTwoFMQ2ryZTALAN1AMgs+w1uqz/mckSXe0l4oUIWgBgDcJCDB6oq+fXnvZuY/Q/IXSw32sduwkfAEAvNO27VaLFkt+flLHu8knAOANChU0+mqAUWR56fhx6fEnrVatJpMA8H4Ug+AzZs2W1qxNVI4Q6YH7CFoA4K1atTT6+gujggWlPXukXn2s5swlfAEAvM9PY53jV5NGUrGiZBQA8BYREUYDPjOqXk2KOiM99azVgkVkEgDejWIQfEJCgtXgc/cK6tLZOWgDALxXhUijYYOMataQoqOll161GjaC+wgBALzHsWNWf/zpTHfuRD4BAG8THu4MZV2vrhQbK734ktWkyeQRAN6LYhB8wrTp0q7dzj0nuhC0AMAnREQYff6JUYe7necjRkovv2Z15gwBDADg+X751So+XqpSWapWlYwCAN4oJMTovXeMWrWUEpOkDz62+mYwndQAeCeKQfB6Z89aDRvhHIR79cyhsDCCFgD4ioAAoycf99MrLxoFBUpz5znDxu3aRfgCAHiumBirCb8603RWAwDvFhho9OpLRt0fdPbn3/8gvfGWVWwsmQSAd6EYBK/340/S4SNS4UJSl04h7m4OACAT3Nra6MuBRgULSDt3SQ/3sZq/gPAFAPBM0/6QTp6SihSWGjdyd2sAANfKGKcY9OrLRgEB0j8zpSeesjp6lEwCwHtQDIJXO3zY6ocxzoG3zyNGwcH0ugMAX1WpotHQQUY1qktnzkgvvGz101grawlgAADPkZTkHJ8kqWMHo4AAMgoA+IrWLY0++9goZ05p7TqpZ2+rtevIIwC8A8UgeLVBQ61iYqRqVaXmzdzdGgBAZsub17mP0G3tJGulgV9affSpVUICAQwA4BnmL5R275bCw6R2bdzdGgCAq9WqaTToK6PrSjkj1fTtZzV5CnkEgOejGASvtX6D1bTpzvQTfY2MoccdAGQHgYFGzz9j1PdRI2OkiZOkZ563OnWaAAYAcC9rrb4f7RyPbr9dCg0lowCALypZwikINW4kxcdL739o9cnnSYqPJ5MA8FwUg+CVrLUa8IVzgG3V0hk6CACQfRhj1KWT0XvvGuUIkZYtl/o8ZrV3L+ELAOA+K1ZKa9ZKQYFS5w5kFADwZWFhRu++ZdSzu7O/n/Cr9PiTVgcPkUkAeCaKQfBK/8ySVq+RQkKk3j0JWQCQXTVqYPTVF0YFC0g7d0m9+litWk34AgC4x8hRzjGoXVspXz5yCgD4Oj8/owe7Gb3/f0bhYU6HgO49rRYuIpMA8DwUg+B1YmOtvv7GOaje28WoYEFCFgBkZ+XLGQ3+xqhiBenkKenJZ6xmzyF8AQCy1pq1VsuWS/7+0r33kFEAIDtp1MBo2BCjyEgnkzz3otWQYUlKTCSXAPAcFIPgdX4YI+0/IBXIL93T2d2tAQB4gvz5jL7ob9SwgRQXJ736htVvkwheAICs893354exLlyIYhAAZDfFihp9PdDojvaStdLIUdJTz1odPUouAeAZKAbBq+zdZzXq3A1ZH+tjlCMHIQsA4AgJccbsbtdGSkqSPvrEavi3VtYSvgAAmWvzFqv5CyQ/P+m+e8koAJBdBQcbPfuUn15/1bm36fIVUveHrRYuind30wCAYhC8h7VW/QdYxcVJdWpLLZq7u0UAAE8TEGD0wnNGD3Zzng//1uqjTy3DMwAAMtXwb53jzE1NpZIlKAYBQHbX8majoYOMSl8nHT0m9ex9SoOGJCkhgVwCwH0oBsFrzJ0nzV8oBQRIT/czMoaQBQC4mDFGPbv76ZmnjIyRJk5yho2LjSV4AQBcb8MGqzlznauCHnqQjAIAcJQqZTTkG6Pb2jnDxo0aLT32hNX+/eQSAO5BMQheISbGqv9A52DZpZNzQAUA4FLubG/0zv+MggKlOXOlJ5+xOnWK4AUAcK2hI5xjyy03S9eRUwAAFwgJMXrhWT998mG4wsOkteukh3pa/T2TXAIg61EMglcY+b3VgYNSwYLSA/cTsAAAGdO0idGnHxuFh0mr1zg98Q4fJngBAFxj9RqrhYskfz+p+wPkFABA2lq3CtaIoUZVKktRZ6TX37T64KMkxcSQTQBkHYpB8Hi7dln9OMaZ7tfXKEcOQhYAIONq1jD6cqBR/vzS9h1Sn75Wu/cQugAA127ocOd40uZWqVgxcgoAIH1Fihh9OcDo/vskY6RJv0s9e1tt2Uo2AZA1KAbBo1lr9cnnVgkJUt0bpSaN3d0iAIA3KlvG6OuBRsWLSwcOOgWhjZsIXQCAq7d0mdWy5VJgoPRANwpBAIDLCwgw6t3TT599bJQvn7Rjp9TrEavxE6ysJZ8AyFwUg+DRfp8qLVsuBQdLT/czMoaQBQC4OkWKOAWhyEjpxAnp8Setlq8gcAEArlxSktVXg5xjSPvbpMKFyCkAgIy7vo7Rt8OM6teT4uKlz/pbvfwa9zgFkLkoBsFjHTlq9cVXzkGwx0OGYRcAANcsIsJo4GdGtWpK0dHSM89bzZpD4AIAXJkZf0ubNklhYVwVBAC4OhF5jD58z+iJx4wCAqQ5c6UHe1it/Jd8AiBzUAyCx/p8gFVUlFQhUurUwd2tAQD4irAwo48/MGrSWIqPl157w2ry7wQuAEDGxMZaDR7iHDfuu9coIg/FIADA1THGqFNHo0FfOUNaHzosPfGU1bARSUpIIKMAcC2KQfBIs+ZYzZwl+ftJLz5nFBBAwAIAuE5wsNFbbxi1ayMlJUnvf2Q1+kfCFgDg8n751bn/XIH8Use73d0aAIAvqBBpNHyw0a2tnHwyYqTU72mrg4fIKABch2IQPM6xY1Yffewc7O69RypfnkIQAMD1AgKMXnjOqOs9zvOvB1l9+XUSN24FAKTr1Cmr7753jhM9exiFhJBVAACuERpq9MpLfnr9FaMcOaR/V0kP9bSaO498AsA1AtzdAHi+mJgYfffdd/rzzz918OBB5cqVS/Xq1VOvXr1UsGDBq1rnvn37NGrUKC1cuFBHjhxRaGioSpQooaZNm2r12q46cVIqV1Z66AGjgwcPas6cOVq3bp3Wrl2rXbt2yVqrL7/8UnXq1HHxuwUAeKNt27Zp6NChWr58uc6ePavixYvrtttuU6dOneTnl37fF2OM+vQ2ypPH6suvrX78STp6NFYli/+sv/+eod27dyshIUH58+fXDTfcoAceeEDFihVLtY633npLU6ZMuWwbf/31VxUuXPia3ysA+CpX5441a9Zo5MiRWrVqlc6ePatChQqpefPmevDBB5UjR44MraNv375aunSpJGnixIn6bnR+nT4tlS0jtW55xU0CAHiBxMRE/fPPP1q3bp3WrVunDRs2KCYmRm3atNHrr79+xetbtmyZHnvssXSXV6lSRcOGDUt53vIWo8qVpDffttqwUXrxFauOd1v16W0UFEQnBABXj2IQLik2NlZ9+/bVmjVrlD9/fjVu3Fj79+/X5MmTNW/ePA0dOvSiL8UuZ/78+Xr55ZcVGxurChUqqGrVqjp58qS2bt2q0T/8qqizXRUUKL3+inOQ++eff/T5559nzhsEAHi91atXq2/fvoqNjVXlypVVpEgRrVy5Up9//rlWr16td955R8ZcOjTd09koT27pvQ9iNOX3vpJdq/DwnKpVq5aCgoK0ceNGTZw4UTNmzNBXX32lihUrpvxujRo1UqaDg4MVGxub8nzXrl1as2aNChcurEKFCrn+zQOAj3B17pg2bZrefvttJSYmqkKFCipcuLA2btyokSNHat68eRo0aJDCwsIuuY7Jkydr6dKlMsbIWqut26x+m+gse/IJI39/vpADAF8UHR2tV1991eXrLV68uKpXr57m/IvnGX39hfTNYKufxkpjx0v/rrZ663VnGQBcDYpBuKQRI0ZozZo1qlatmvr376/Q0FBJ0g8//KABAwbonXfe0ddff53h9e3YsUMvvfSSQkNDNWDAgFQHwR07E/VQjw2SpN69jMqUcQ5uRYsWVZcuXVSpUiVVqlRJn3zyiRYtWuTCdwkA8FYJCQl64403FBsbq379+umee5wx36Kjo9WvXz/99ddfql+/vtq1a3fZdd3a2mjlyon67de1kqmkchX66623cio83CgxMVGfffaZxo0bp/79+6c69rVv317t27eXJEVEROj48eMpy1555RWtWbNGrVu3vmxBCgCyM1fmjkOHDum9995TYmKiXnnlFd12222SpPj4eL399tv6448/NHDgQL344ovpruP48eMaMGCA6tatq507d+rAgQMaMszKWqlFc6lWTfbpAOCrAgICdOutt6pixYqqXLmydu7cqXfeeeea11u9evUrurIoMNDo8ceMateyevd9q02bpO69rJ57RrqlBcchAFeOewYhXfHx8Ro3bpwk6dlnn00JZJJ07733qly5clqxYoU2bNiQ4XX2799fsbGxeu2111IVghISrN593yg+oZLq1E59I9YmTZroySefVKtWrVSyZEm+TAMApJg5c6b27dun8uXLpxSCJCk0NFTPPPOMJOnHH3/M8PpOnVwpScoR1kVr1oarbz+ro0et/P391atXL0nSunXrMrSuM2fOaO7cuZKkW2+9NcNtAIDsxtW5Y/LkyYqNjdWNN96YUgiSpMDAQD3zzDMKDQ3VpEmTdPLkyXTX8dlnnyk2NlbPPfdcyryNm6QcIdJjj5BHAMCX5ciRQ2+88YY6d+6satWqKTg42K3tadjA6NuhRjWqS9HR0v/etnr/wyTFxHAvIQBXhmIQ0rVq1SpFRUWpePHiqlChwkXLmzdvLkmaM2dOhtZ38OBBLVq0SMWKFVODBg1SLRs5ymr9eik8XHr5RSM/PwIWAODy5s+fL0m66aabLlpWsWJFFStWTFu3btW+ffsytL7AwEBJ0kPdjPJGSFu2So/0tdq+43zQyp07d4bW9c8//6QMXVeqVKkM/Q4AZEeuzh0bN26UJNWuXfuiZblz51a5cuWUmJioefPmpfn7CxYs0B9//KEHHnhAxYsXl73gu7YHuhkVLEhWAQBkrYIFjfp/avRgN8kYafIUqecjVtu2UxACkHEME4d0bd68WZLSDGQXzt+yZUuG1rd8+XIlJSWpWrVqSkhI0MyZM7Vq1SodOJioefPLSH4t9MxTuVWIcAUAyKDkY9WF9/C5UIUKFbR3715t2bJFRYsWvez66tatqz/++EMzZ47Rxx/U12tvhmnvPumRRxNUo+pgSUrVy/xSpk2bJklq1apVhl4PANmVq3PH2bNnJUk5c+ZMc3lyUT/57/73dz/88EOVKlVK999/vyTp9GlnWdEiUqcOGWoCAAAX2b17t7766iudPHlSefLkUY0aNVSvXj35+WWsr35AgFHP7ka1alq99Y7Vjh3Sw49Y9Xtcuq2tGEkHwGVRDEK6Dhw4IEkqUKBAmssLFiyY6nWXs337dknO5baPPPKI1qxZk2p5YOAg5c3znqQ6V9liAEB2c/DgQUmuO1a1bt1aCxcu1J9//qnHHrtLlSpV08njQTpxfKNmzz6mevW7qnv37pddz6FDh7R8+XL5+/vrlltuyeC7AYDsydW5I0+ePJd8ffLVomktHzx4sPbv36+vvvpKgYGBWrHSKjraWfboI0ZBQXzRBgC4OqtXr9bq1atTzStbtqzee+89lSxZMsPrqVPb6Nth0tv/Z7V4ifThx1bLlkvPPyOFhXGcApA+holDupJ71IWEhKS5PHl+dHI6uozT57rUTZw4UTt37tQbb/xPNetMk3/QGOXK3Urx8af0wgsv6NChQy5oPQAgO0g+BrnqWOXv768333xT9913n06fPq3Fi+frxPGZkt0vmeu0eGkdfTPYKDHx0sMxTJ8+XUlJSapXr57y5s2b8TcEANmQq3NHrVq1JEl//vmn4uPjUy1bv369tm7dmub6NmzYoJ9//llt2rRR7dq1FRtr9eEn5/f3VSrzBRsA4MqFh4erR48eGjp0qKZPn67p06friy++UNWqVbV161b169dPUVFRV7TOiAijjz8w6tPbyN9f+utvqfvDVhs2MGwcgPRRDEKWSUpKkiQlJibqhRde0PZdt2jN2lwKCy+poUPfVOXKlRUVFaXx48e7uaUAgOzq1KlT6tu3r8aNG6ennnpKEydO1B9//KEPPvhA4WEnlBT/rEb/MEOvvmF19mz6QSt5iLjWrVtnVdMBAOe0atVKBQsW1IEDB/Tcc89p69atOnPmjBYtWqSXXnpJ/v7+klIPp5OYmKj/+7//U3h4uJ544glJ0nffW+3eLfn5u+VtAAB8RIUKFfT888+ratWqyp07t3Lnzq3rr79egwYNUs2aNbV///6r+i7Mz8+o6z1GXw4wKlxIzvDWfa1+HmtlLUUhABejGIR05ciRQ5IUExOT5vLk+aGhoVe0vtDQUCXa5vrhR2f+i88blSxh1LZtW0nSihUrrqXZAIBsJPkY5Kpj1eeff64VK1bokUceUefOnVWwYEHlypVLTZs21cCB78sYK5swULPnJKj3o1a7dl8csjZv3qytW7cqLCxMjRs3vsp3BgDZh6tzR2hoqD755BMVLFhQCxcuVNeuXdWiRQv169dPAQEBuvfeeyVJuXLlSvmdMWPGaNOmTerbt6/y5MmjDRutvv9B5153te8MAID0+fv7p9yfbuHChVe9nqpVjIYPNWraREpIkAZ8afXiK1YnT1IQApAa9wxCugoXLixJOnz4cJrLk4dzS37d5RQpUkSSlCdPIX3wkTPvvnul5s1MquXHjx+/6jYDALKXQoUK6dSpUzp8+LDKly9/0fIrOVYlJibqzz//lCQ1b978ouWVKlVS0aJFtXfvXuXOtVfbtpdSz95WLz0v3dTsfO/y5KuCbrrppnSHPAIAnOfq3CFJ5cuX188//6wZM2Zo48aNSkpKUoUKFXTLLbdo5MiRkqTSpUunvH7u3LkyxmjKlCn6/fcp2rBRio2R8uSRos8ckyS9/PLLCgwMVLdu3VS/fv2reasAAKRSokQJSdLRo0evaT25chq98z9pwm/SF19azZsvPdTT6o3XpBrVGeYUgINiENKV/KXaxo0b01yePL9cuXIZWl9kZKQk6cCB0/ILkhrUlx7ucf6AdOrUKUnnewYCAHA55cuX1+bNm7VhwwY1aNDgouVXcqw6fvx4yr0lwsLC0nxN8vyXX4zSmJ+llf9Kr71p1amDVZ/eRklJSSkFpVtvvfWq3hMAZDeuzh3JQkJC1K5dO7Vr1y7V/OSbd9euXTvVfGvtRaMUnLign9qaNWskKWVEAwAArlXyd2Gu6ERmjNFdd0jVqkivv+UMdfr4k1bdH5Tu7yr5+1MUArI7holDuqpXr67w8HDt2bNHmzZtumj533//LUkZHgKnXLmq8vfPraSkoypaZKfeeNWkOhAlB68KFSq4oPUAgOwguQD0zz//XLRs48aN2rt3r8qWLauiRYtedl25cuVSYGCgJOcm4v915swZ7dq1S5JUsUIRff6J0b33OMt+Hic99oTVxEkLdOjQIRUqVOiiLxkBAGlzde64lM2bN2vFihUqU6aMatSokTL/66+/1sKFC/XFlwsUEDJfASHz9Vn/BVq4cGHKFUkTJ07UwoULLyouAQBwtZJzjCu/Cytf3mjYIKNWLaWkJGnocKunn7M6cpRh44DsjmIQ0hUYGKgOHTpIkj766COdPXs2ZdkPP/ygLVu2qFatWqpYsWKq3xs7dqw6d+6sr776KmVeQoLVW+/6y5oukqxyh38iKTpl+eLFi/X777/LGKM77rgjM98WAMCHNGvWTEWLFtXmzZv1448/psw/e/asPv74Y0nSPffcc9Hv9e3bV507d9batWtT5gUFBalevXqSpP79++vIkSMpy2JjY/Xhhx8qJiZG1atXV/78+RUQYPRobz+9945ReJi0br30yqvOjV9btmyZ6sbkAID0uTJ3JNu0aZMSEhJSzdu+fbteeuklWWv1zDPPXPQ7J05Yvfue80VZ+9uk+nXZjwMAMi6tjCE596Xbv39/qnnWWk2YMEFjxoyRMUZ33323S9sSGmr02st+euVFoxwh0rLl0oM9rBYtpiAEZGcME4dLeuihh7RkyRKtXr1aHTt2VI0aNXTgwAGtXbtWERERevXVVy/6nRMnTmjnzp0pX6JZa/XJZ1YLFkohoV1VqvhyrV69RB07dlTVqlV14sQJrV27VomJiXrkkUdUpUqVVOs7cuSIXnjhhZTnO3fulOQExeTheho2bKju3btn1j8DAMBDBQQE6M0339Tjjz+u/v37a8aMGSpcuLD+/fdfHTlyRM2bN09zOJ89e/bowIEDF92svF+/flq7dq02bdqkTp06qVq1agoODtb69et1+PBh5cqVK9UxSZIaNzL6dpj0znsxWrpopiRp7YbWOnLUKn8+vkgEgIxwRe640GeffaYdO3aoXLlyioiI0MGDB1OGeXvhhRdUp06dVK9PSrJ6612rw0ekkiWkx/qw/waA7OzDDz9MGab05MmTkqT58+erR48eKa8ZNmxYqt9JL2OMGTNGAwcOVIUKFVSkSBHFxcVp69at2rdvn/z8/PT0009f1OHBVW5tbVSlsvTa/6y2bpWeed7q3nusevUwCgjgWAdkNxSDcEnBwcH68ssv9d133+mPP/7Q7NmzlStXLrVt21a9e/dWwYIFL7uOYSOsJv0u+flJb70RqHp1P9OPP/6oqVOnatGiRQoICFCtWrXUpUsXNWrU6KLfj4uLu6hXhSTt2LEjZbpUqVLX9D4BAN6revXqGjFihIYMGaLly5dry5YtKlasmLp27arOnTtf0RU6xYsX16hRozRq1CgtWLBAK1eulLVWBQsWVIcOHdStW7c0j32FCxu1bzdXSxedkfGL1KrVpdXtIavHH5VatxJXCQHAZbgid1yodevWmjZtmrZs2aLTp08rIiJCLVq00H333ZdyL9MLff+DtHiJFBwsvf0/o9BQ9tsAkJ1t3779ou+iTpw4oRMnTlzxuu69916tWLFCGzdu1Pbt25WQkKB8+fKpdevW6tSpkypXruyiVqetZEmjwV9JX35t9cuv0g8/Sv/+a/Xma1KRIhzvgOzEWGszdH3g8ePHL/+iTBAREeG2v41r9/0PVt8MdjaxZ54yurN95h5k2F58XEKcgqe/LEmKbfV/UkDQVa+KbQVXgu0FGRUREaFly4/pnf+z2rTZmVerpvTc00YlSxK0cB77lcwXERFxTb+fXT+f7LhtLl9h9eQzVklJ0ksvGLW91ff219nxc/VKV5h3+Fx9E5+rb/KUz3XWbKv3PrSKipLCw6QXnzdq1tT3jntZxVM+V7ieN362Gck/3DMImWbcL+cLQb0fzvxCEAAAnqBMaaPBXxv16W0UHCytWCk90MNq2IgkxcYyRjcAeJJ9+61e/59TCGrTWj5ZCAIAIFnTJkYjhjhDx0WdkV59w+rjz8gpQHZBMQiZ4tffrD4f4BxIHrhfur8roQoAkH0EBBh1vcdo1LdG9epK8fHSiJHSfQ9a/T3TKoMXZgMAMlFUlNXzL1mdOCFFRkpPP0lmAQD4viJFjL4cYNT1Huf5r79JvR612rmTjAL4OopBcLkxP1t9/JlzAOncSerZnVAFAMieihYx+uh9o7feNMqfX9q/X3r9TatHH7dav4GwBQDukpDgXBG0Y4eUP7/0wbtGISHkFgBA9hAQYNSnt58+/cgoIkLaulXq0dtqylQ6rgG+jGIQXMZaqxEjrb74yjlodL1H6tvHcNNsAEC2ZoxR82ZGP44yeugB5+bkq9dIDz9i9b93krR3L2ELALKStVaf9rdavMTZJ7//rlGBAmQWAED2c+MNRt8ONapTW4qJkf7vA6t3/s8qOpqMAvgiikFwicREq/5fWA0b4RwsenY3eqQXhSAAAJLlyGHU4yE//TjKqHUrZ96fM6R7u1l99EmSDh8mcAFAZrPW6ouvrSZOkoyRXn/FqGIFMgsAIPvKl8/o04+MevU08veTpv8pde9ltWYt+QTwNRSDcM1iYqxee9Nq3Hjn+ROPGT3YjUIQAABpKVjQ6NWX/DRssFHdG6XEROm3SVLne60GfpWko0cJXQCQWYZ/a/XTz870C88aNW1CZgEAwN/fqNt9RgM+NypYUNqzR3r0cSefxMSQTwBfQTEI1+ToUat+T1vNniMFBkr/e8OoU0cCFQAAl1Mh0uiTD/305QCj6tWkuHjpp5+ljvdYfT4gSQcPEboAwFWstRo5ymrESOd5v8eN2rUltwAAcKEa1Z1h41q3kpKSnHzyQHerFSvJJoAvoBiEq7ZmrVWP3lZr10k5c0qff2LU4iYCFQAAV6JGdaMvBxh9/IFR5UpSXJw07hfnSqEPPuaeQgBwrZKHhhsyzNmf9n7YqOPd5BYAANKSK5czksFH7xsVLCDt3Sc9/qTVBx8l6fgJsgngzSgG4YpZa/XrRKu+/ayOHJGuKyUN+sqoRnUCFQAAV8MYo3p1jQZ9ZfT5J0a1akoJCdKkydI991u9/W6Stu8geAHAlUpIsHrvw/NDwz3xmNH9XcktAABcTv16Rt+NMLr9Nuf5pN+le7pa/TzOKiGBbAJ4I4pBuCInT1q99obVx59aJSRIzZpIg782KlmCQAUAwLUyxuj6OkYDP/fTVwON6tV1hmeY/qfU7SGrV19P0sZNBC8AyIjTp62ef8lqylTJz096+QWGtAYA4EqEhxs9/4wztHX5clLUGWnAF1YP9rRavMTKWrIJ4E0oBiHDFi226tbdauZsyd9f6tPb6O3/GYWGEqgAAHC16tWMPv7AT0MHGTVpLFkrzZwt9ehl1e/pJM1fYJWURPgCgLTs2mXV61GrxUuk4GDpnf8ZtbmV3AIAwNWoUd1o6CCj554xyp1L2rFDevo5q0cft1qylKIQ4C0C3N0AeL7YWKuvB1mN+8V5Xqqk9NorRhUrEKYAAMhsFSsY/d/bRtu2WY36wervv6Vly6Vly61KlpA6dZRat5RCQjguA4Ak/TPT6oOPrKLOSAULSu+/axRZnn0kAADXwt/fqP1t0k3NpG9HWv36m7R6jfTUs1ZVq0gPdpPq3uiMdgDAM3FlEC5pyVKr+x86Xwi6+05p2GAKQQAAZLUyZYzeeNVPP/1odE9nKSxM2rVb+vhTq7s7WQ0dnqSjR+mRByD7ioqyevv/kvTam04hqFpVaeg3FIIAAHClXDmNnujrp59/NOp4txQUJK1ZKz37gtUD3Z37jJ89Sy4BPBFXBiFNR45aff2N1fQ/necF8ksvPOfc3BoAALhP4UJGj/UxeugBq8lTpLHjrPYfkL79Thr9o1WzplZ33G5UvRq98gBkD9ZazZsvfTbA6uBB5/5A990rPfSAUWAg+0EAADJD/vxG/R436nqv1Y9jrCZOkrZtdzqrfTNIat7cqnVLo2pVySWAp6AYhFSio61+/Mnqx5+kmBjJGOnuu6RePbg3EAAAniQ01KhTB+muO6S586QxP1utWSv9OUP6c4ZVmdJS+9udIeTCwjiGA/BNe/ZYfT7QauEi53nRotJrLxtVq8p+DwCArJA/n9Hjjxk92M1q6jRp/ASrvfukiZOkiZOsihaVGjeyatLIqGoVZ7g5AO5BMQiSnCLQb5OkH8ZYHT/uzKtSWer3uFHlSuykAQDwVAEBRs2aSs2aGm3YaPXbRKs/Zji98j7r7/TKu/lmp1ceVwsB8BUHDliNGm31+1QpIUEKCJDu6Szd35VObAAAuEPOnEadOkod7pZWrJSmTbeaOVvat0/66Wfpp5+t8uSWGtS3uvEGo9q1pLx5OWYDWYliUDZ3/IRzGefPY61OnnLmFS8m9X7Y+WKJL4wAAPAeFSsYVXzO6NFHrKb9If020WrHTmnSZGnSZKsiRaRWt1i1amlUojjHeADeZ9t2q7HjnZ7HCQnOvLo3Op3YSpZgvwYAgLv5+RnVqS3VqW309JNWixZLc+ZZzV8gnTgpTZkmTZnm3FPouuus6tSSatQwqlJZKliA7yKBzEQxKBuy1mrVamnCb1azZkvx8c78YkWl++8zat3S6WUMAAC8U86czs1cO9zl9MqbOs3plbd/v3NvoW+/s6pcyeqWm42aNJYKFeS4D8BzxcU5XyBN+M1q2fLz8+vUlro/aFSjOvswAAA8UY4c50cxSEhwvo+ct8Bq+XJpy1Zpxw7nZ/wEpziUL59UpbJV5UpOcahiBWcdAFyDYlA2snuP1cxZ0h9/Wm3fcX5+pUpSx7uMmt9EEQgAAF9ijDP8Qu1aRs88ZTV7rjT9D6slS6V166V16636D5QqVrBq0tgpDF1XinMBAO6XkODcB23GX1Z//SOdPu3M9/OTmjSSOnagCAQAgDcJCDifTSTp5Emrlf9Ky5ZbrVknbd0iHT0qzZ4jzZ7jFIf8/KQypa0qV5YqVzKqXFEqVYr7DgFXi2KQD0tMtNq2TZo7X5o522rr1vPLQkKkW1pI7W83qlghe+xAjxw54u4m4Folxil/bKwk6cjRI5J/0FWvKiEhQSdOnHBRw+Dr2F7cJ3/+/O5ugs8ICTFqebPU8majo0edL1dnzXZ6523YKG3YaDV4qFSyhFX9+tINdYxqVKcnHoCsc/as1eKl0ty5zpVAycNYS1KB/FLrVk5+KVzIs/dLnpg7OJfxEleYd/hcfROfa+YjY3iG3LmNmjaRmjZxjusxMVYbN0lr10nr1lmtWy8dOuxcQbRlqzRxklMgyhEiVahgVbmSVKmiUWWGlwMyzFhrbUZeePz48cxuS5oiIiLc9re9TWys1dZt0r+rpJX/Wv27SoqKOr/c398ZSqFpE6MWN0nh4b63k7zU9pI3b94sbg1cLchfGnpbLklSz0mnFJfo5gYByHTHjh1zdxOuiDeetxw7ZjV3vtP7btny88PHSs4N2atWkW643uj6OlKFSK4idhVv3Fa8TURExDX9fnb9fLJy24yNda7+WbHS6Rm8dl3qfVDOnFKjBlLLW5yexN7SC5jcgatF3gGyhjsyBud+V+fwYacotPZccWjjRulszMWvy5fXGfmoUkWjypWkChWkXDkz/7yBz9V3eeNnm5H8w5VBXig21mr/AWnvXmnXbmnLFqvNW6SdO6XEpNSvzZFDqlVTatbEqFFDKVcu7whQAAAga+TNa3R7O+n2dkZnzlgtXCwtXeoMJXfgoLTyX6eTyZBhUnCwM6RclcpSlSrOON7583FuASBjjhy1Wr9eWrfBatUqZ7jKC4s/klSkiNS4odSooVH1ahSgAQDIzgoUMGpa4PzVQ4mJVjt3Sus2SOvXW63fIG3dKh09Js2dJ82dd/6ahyJFrCqUlyIjjSLLS5HlnewDZGcUgzyMtVanT0tHjjg7siNHpIOHpL17rfbtl/buc+alJ3cuqUoVqWYNo1o1pfLlCFAAACBjwsKcq4db3GRkrdXevdKSZdLSZVbLVzj37Ph3lfMjOUGrUCGr8uWksmWksmWNypWRihXznh78ADJHVJQz1Mu69dL6DU4R6HAaOSZ/fql2TalWTSe/FCvGMC8AACBt/v5GZcpIZcpI7dqcH15u8xaldDhZv975/nT/fudn5uzzBaL8+a0iyzsjHpQtY1SypFSiuBQYyLkHsgeKQVnEWquoKOnIUedmaEeOOkWdI0etU/g5N+/oESku/vLrCw2VihV1fsqVMypfzin8FGCMTAAA4ALGGBUvLhUvLt3Z3igpyWr3bmcYpzXrrNaulbZtlw4edH7mzpOSC0TBwVKpUlYliuncOoyKn5vOk5tzFcCXWGt18JDTK3fbdmnrNqvNm6Wduy5+rZ+fdF0pZxiXKpWNatek+AMAAK5NSIhRtapStaqS5JxTnDrlFIg2bpI2bbbatEnavefcd7FHpPkLpOTs4u8nFSlqdV0pqWRJqWhho4IF5fwUcIat5VwFvoJ7Bl2jmBir48el4yek48elEyedx2PH7H+KPtK5+0BmSK5cUv58Tk+5/PmlYkWNip4r/hQtIuXmi5Q0XWp78cQbueIKJcYp/7z3JElHGr502RuqXkqePHm4KScyjO3Ffbzt5q6eft7iatHRTs//rdukrVuttmyTtm279DlPjhCn80qBAk64ch6NIvI6haKIPFKePFJ4uOTn57vnOtltW3EH7hl0ddLbNuPirPbuk3bvdr5M2b3baucuaft2KepM2usqUtgp/FSs4IzfH1leCg313f/XyTwxd3Au4yWuMO/wufomPtfM546Mwbmf+0VHW23ZKm3aLG3aZLV9h9N5JTr60r8Xci6/5MntfF+bK+e5x1xGBQuGyiZFKzhECgl2OsWFhJx/DAyUAgOkwKBzj4HOPd35TtfzeeP/We4ZdAnWWiUmSnFxzjjVZ89KZ6KlM2fO/0SdcXYIZ87YlHmnTiul+HPieNo3LbuU8PBzBZ5zhZ58eaX8+c35wk8+KW9eKTiYnYKredsXikhDQpyCg4MlSfnz5ZcCrr4YFBERoYCAbLsLxBViewHSFhrqDOtUq6aU3AsvMdH5wnjnTmnPXmnPHus87pUOHXLOnXbtdn7Ou7hvkr+flCu3TQld4eFSeJgUFiaFhUs5w43Cws7PCw8//5MzXAoKImQBGWGtVUyMdPKUdOqUFBMTp23brA4esjp0yBmy+uBB5zEpKe11+PtLpUo6Q7aULWNUrqxUsaIUkSd7/h/0xNzBuYyXuMK8w+fqm/hcgcwRGurcj7B6NSk5u1jrjNi0c5fzs2uX1YGD0uHDTnY5cVKKiTnXGWb3f9doJaXTI+YSjJECA61TKEqjWHTRzwXLA/4zLyjQ+Q45OEgKOleMCg6WgoMumE7jeVAQtxXJrrz26PLLr1az51glJTm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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "az.plot_posterior(\n", " regular_users.fit_result,\n", " var_names=[\"alpha\", \"beta\"],\n", " ref_val=ref_val[\"regular\"]\n", ");" ] }, { "cell_type": "markdown", "id": "d25d118c", "metadata": {}, "source": [ "The model fitting agrees with the Maximum Likelihood estimates described in the original paper.\n", "In addition, MCMC sampling, gives us useful information about the uncertainty of the fits." ] }, { "cell_type": "markdown", "id": "61849a13", "metadata": {}, "source": [ "## Recreating main results and figures from the paper" ] }, { "cell_type": "markdown", "id": "edfaee99", "metadata": {}, "source": [ "Figure 6 from the paper shows the group distribution of `theta` churn rates. \n", "\n", "The inferred distributions are relatively wide in both groups, which follows directly from the fact that both `alpha` and `beta` were inferred to be < 10.\n", "\n", "It is still clear that the distribution of `theta` for the highend users has much more mass near lower values,\n", "suggesting highend users have lower attrition rates on average, when compared with regular users." ] }, { "cell_type": "code", "execution_count": 17, "id": "642abe8e", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Sampling: [theta]\n" ] }, { "data": { "text/html": [ "\n", "\n" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "\n", "
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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = az.plot_dist(new_highend_theta, label=\"highend\")\n", "ax = az.plot_dist(new_regular_theta, label=\"regular\", ax=ax, color=\"C1\")\n", "ax.set_xlabel(\"theta\")\n", "plt.ylim([0, 4])\n", "ax.set_title(\"Figure 6\");" ] }, { "cell_type": "markdown", "id": "0434200c", "metadata": {}, "source": [ "Figures 4 and 5 show the predicted average churn and retention trends for the two groups.\n", "We can see that predictions nicely match the observed data (black line), even when extrapolating into the time periods that were held-out when fitting the model.\n", "\n", "The plots also highlight an interesting implication from the model: \n", "the retention rates are expected to increase over time, as the more precarious customers gradually drop out. This is a direct consequence of modelling individual churn rates as being fixed over time." ] }, { "cell_type": "code", "execution_count": 19, "id": "d1df4e07", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Sampling: [churn]\n" ] }, { "data": { "text/html": [ "\n", "\n" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "\n", "
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\n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "churn_highend = highend_users.distribution_customer_churn_time(\n", " customer_id=np.arange(initial_customers)\n", ")\n", "churn_regular = regular_users.distribution_customer_churn_time(\n", " customer_id=np.arange(initial_customers)\n", ")" ] }, { "cell_type": "code", "execution_count": 20, "id": "5ec83e3c", "metadata": {}, "outputs": [], "source": [ "weeks = xr.DataArray(np.arange(1, 14), dims=[\"weeks\"])\n", "\n", "survival_perc_highend = 100-100*(churn_highend < weeks)\n", "survival_perc_regular = 100-100*(churn_regular < weeks)" ] }, { "cell_type": "code", "execution_count": 21, "id": "10031f3e", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "az.plot_hdi(weeks, survival_perc_highend.mean(\"customer_id\"), hdi_prob=.95, color=\"C0\")\n", "az.plot_hdi(weeks, survival_perc_regular.mean(\"customer_id\"), hdi_prob=.95, color=\"C1\")\n", "\n", "plt.plot(weeks, df[\"highend\"], color=\"k\", label=\"observed\")\n", "plt.plot(weeks, df[\"regular\"], color=\"k\")\n", "\n", "plt.axvspan(None, None, color=\"C0\", alpha=0.7, label=\"high end\")\n", "plt.axvspan(None, None, color=\"C1\", alpha=0.7, label=\"regular\")\n", "\n", "plt.axvline(7, ls=':', color=\"k\")\n", "plt.ylim([0, 105])\n", "plt.ylabel(\"% Surviving\")\n", "plt.legend()\n", "plt.title(\"Figure 4\");" ] }, { "cell_type": "code", "execution_count": 22, "id": "c95e138a", "metadata": {}, "outputs": [], "source": [ "retention_rate_highend = (\n", " survival_perc_highend.isel(weeks=slice(1, None, None))\n", " / survival_perc_highend.isel(weeks=slice(None, -1, None))\n", ")\n", "retention_rate_regular = (\n", " survival_perc_regular.isel(weeks=slice(1, None, None))\n", " / survival_perc_regular.isel(weeks=slice(None, -1, None))\n", ")\n", "\n", "retention_rate_highend_obs = df[\"highend\"][1:].values / df[\"highend\"][:-1].values\n", "retention_rate_regular_obs = df[\"regular\"][1:].values / df[\"regular\"][:-1].values" ] }, { "cell_type": "code", "execution_count": 23, "id": "ba4327f6", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "weeks_ = weeks[:-1]\n", "\n", "az.plot_hdi(weeks_, retention_rate_highend.mean(\"customer_id\"), hdi_prob=.95, color=\"C0\")\n", "az.plot_hdi(weeks_, retention_rate_regular.mean(\"customer_id\"), hdi_prob=.95, color=\"C1\")\n", "\n", "plt.plot(weeks_, retention_rate_highend_obs, color=\"k\", label=\"observed\")\n", "plt.plot(weeks_, retention_rate_regular_obs, color=\"k\")\n", "\n", "plt.axvspan(None, None, color=\"C0\", alpha=0.7, label=\"high end\")\n", "plt.axvspan(None, None, color=\"C1\", alpha=0.7, label=\"regular\")\n", "\n", "plt.axvline(7, ls='--', color=\"k\")\n", "plt.ylim([0.5, 1.05])\n", "plt.ylabel(\"Retention Rate\")\n", "plt.legend()\n", "plt.title(\"Figure 5\");" ] } ], "metadata": { "hide_input": false, "interpreter": { "hash": "46a5e415d7f15ea5274a6d839790368c79822281f73ba6e148fa3a0b5163a378" }, "kernelspec": { "display_name": "marketing_env", "language": "python", "name": "marketing_env" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.11.4" }, "toc": { "base_numbering": 1, "nav_menu": {}, "number_sections": true, "sideBar": true, "skip_h1_title": false, "title_cell": "Table of Contents", "title_sidebar": "Contents", "toc_cell": false, "toc_position": {}, "toc_section_display": true, "toc_window_display": false }, "varInspector": { "cols": { "lenName": 16, "lenType": 16, "lenVar": 40 }, "kernels_config": { "python": { "delete_cmd_postfix": "", "delete_cmd_prefix": "del ", "library": "var_list.py", "varRefreshCmd": "print(var_dic_list())" }, "r": { "delete_cmd_postfix": ") ", "delete_cmd_prefix": "rm(", "library": "var_list.r", "varRefreshCmd": "cat(var_dic_list()) " } }, "types_to_exclude": [ "module", "function", "builtin_function_or_method", "instance", "_Feature" ], "window_display": false } }, "nbformat": 4, "nbformat_minor": 5 }