From 24b88a76d8fcf4a0b487734d0471b9d361f7c9d6 Mon Sep 17 00:00:00 2001 From: davidschulte Date: Tue, 9 Aug 2022 11:35:35 +0200 Subject: [PATCH] Final commit --- .idea/.gitignore | 8 + .../inspectionProfiles/profiles_settings.xml | 6 + .idea/misc.xml | 4 + .idea/modules.xml | 8 + .idea/solar-forecasting.iml | 8 + .idea/vcs.xml | 6 + .../stf_project-checkpoint.ipynb | 1194 +++++++++++++++++ afterlm.png | Bin 0 -> 16492 bytes arma.tex | 32 + armafit1year.png | Bin 0 -> 168747 bytes armafitall.png | Bin 0 -> 241865 bytes data.png | Bin 0 -> 183082 bytes datadistr.png | Bin 0 -> 11509 bytes ols.tex | 35 + pacf.png | Bin 0 -> 8340 bytes seasonality.png | Bin 0 -> 60842 bytes transformeddistr.png | Bin 0 -> 13250 bytes 17 files changed, 1301 insertions(+) create mode 100644 .idea/.gitignore create mode 100644 .idea/inspectionProfiles/profiles_settings.xml create mode 100644 .idea/misc.xml create mode 100644 .idea/modules.xml create mode 100644 .idea/solar-forecasting.iml create mode 100644 .idea/vcs.xml create mode 100644 .ipynb_checkpoints/stf_project-checkpoint.ipynb create mode 100644 afterlm.png create mode 100644 arma.tex create mode 100644 armafit1year.png create mode 100644 armafitall.png create mode 100644 data.png create mode 100644 datadistr.png create mode 100644 ols.tex create mode 100644 pacf.png create mode 100644 seasonality.png create mode 100644 transformeddistr.png diff --git a/.idea/.gitignore b/.idea/.gitignore new file mode 100644 index 0000000..13566b8 --- /dev/null +++ b/.idea/.gitignore @@ -0,0 +1,8 @@ +# Default ignored files +/shelf/ +/workspace.xml +# Editor-based HTTP Client requests +/httpRequests/ +# Datasource local storage ignored files +/dataSources/ +/dataSources.local.xml diff --git a/.idea/inspectionProfiles/profiles_settings.xml b/.idea/inspectionProfiles/profiles_settings.xml new file mode 100644 index 0000000..105ce2d --- /dev/null +++ b/.idea/inspectionProfiles/profiles_settings.xml @@ -0,0 +1,6 @@ + + + + \ No newline at end of file diff --git a/.idea/misc.xml b/.idea/misc.xml new file mode 100644 index 0000000..d1e22ec --- /dev/null +++ b/.idea/misc.xml @@ -0,0 +1,4 @@ + + + + \ No newline at end of file diff --git a/.idea/modules.xml b/.idea/modules.xml new file mode 100644 index 0000000..889ff01 --- /dev/null +++ b/.idea/modules.xml @@ -0,0 +1,8 @@ + + + + + + + + \ No newline at end of file diff --git a/.idea/solar-forecasting.iml b/.idea/solar-forecasting.iml new file mode 100644 index 0000000..d0876a7 --- /dev/null +++ b/.idea/solar-forecasting.iml @@ -0,0 +1,8 @@ + + + + + + + + \ No newline at end of file diff --git a/.idea/vcs.xml b/.idea/vcs.xml new file mode 100644 index 0000000..94a25f7 --- /dev/null +++ b/.idea/vcs.xml @@ -0,0 +1,6 @@ + + + + + + \ No newline at end of file diff --git a/.ipynb_checkpoints/stf_project-checkpoint.ipynb b/.ipynb_checkpoints/stf_project-checkpoint.ipynb new file mode 100644 index 0000000..cadb81b --- /dev/null +++ b/.ipynb_checkpoints/stf_project-checkpoint.ipynb @@ -0,0 +1,1194 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "extra-recommendation", + "metadata": { + "id": "extra-recommendation" + }, + "source": [ + "# Modelling Power Load of Solar Energy\n", + "## David Schulte\n", + "## Course work: Statistical Tools in Finance and Insurance\n", + "## Prof. Dr. López Cabrera" + ] + }, + { + "cell_type": "markdown", + "id": "headed-knight", + "metadata": { + "id": "headed-knight" + }, + "source": [ + "## Imports and helper functions" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "partial-object", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "partial-object", + "outputId": "7be5f772-fe1f-4a02-a6af-25a7c03a4a65" + }, + "outputs": [], + "source": [ + "import os\n", + "import pandas as pd\n", + "from matplotlib import pyplot as plt\n", + "import numpy as np\n", + "from statsmodels.graphics.tsaplots import plot_acf, plot_pacf\n", + "import statsmodels.api as sm\n", + "\n", + "from statsmodels.tsa.arima.model import ARIMA\n", + "from statsmodels.tsa.stattools import acf, pacf\n", + "from statsmodels.api import OLS, add_constant\n", + "from sklearn.linear_model import LinearRegression\n", + "from sklearn.preprocessing import MinMaxScaler\n", + "from sklearn.neighbors import KernelDensity\n", + "import seaborn as sns\n" + ] + }, + { + "cell_type": "markdown", + "id": "respiratory-harris", + "metadata": { + "id": "respiratory-harris" + }, + "source": [ + "## Loading the data" + ] + }, + { + "cell_type": "markdown", + "id": "f42ab829", + "metadata": {}, + "source": [ + "**First we load the data from all four network operators from 2010 until 2020. \n", + "The data can be accessed on https://energy-charts.info/.**" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "e853f72a", + "metadata": { + "scrolled": true + }, + "outputs": [], + "source": [ + "header_list = ['Date', '50Hertz', 'Amprion', 'Tennet', 'Transnet BW']\n", + "for year in range(2010, 2021):\n", + " filename = f\"energy-charts_Electricity_production_in_Germany_in_{year}.csv\"\n", + " filepath = os.path.join('data', filename)\n", + " df_current = pd.read_csv(filepath, sep=',', names=header_list, skiprows=1)\n", + " df_current.fillna(0, inplace=True)\n", + "\n", + "# df_current[\"all\"] = df_current[\"50Hertz\"] + df_current[\"Amprion\"] + df_current[\"Tennet\"] + df_current[\"Transnet BW\"]\n", + " \n", + " if year == 2010:\n", + " df = df_current\n", + " else:\n", + " df = pd.concat([df, df_current])\n" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "2af9e569", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " 50Hertz Amprion Tennet Transnet BW all\n", + "Date \n", + "2010-01-01 0.004458 0.0 0.048333 0.023208 0.076000\n", + "2010-01-02 0.004333 0.0 0.043250 0.020833 0.068417\n", + "2010-01-03 0.002167 0.0 0.031625 0.015167 0.048958\n", + "2010-01-04 0.001417 0.0 0.088750 0.042667 0.132833\n", + "2010-01-05 0.002250 0.0 0.042250 0.020333 0.064833" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df[\"all\"] = df[\"50Hertz\"] + df[\"Amprion\"] + df[\"Tennet\"] + df[\"Transnet BW\"]\n", + "df['Date'] = pd.to_datetime(df['Date'])\n", + "daily_df = df.groupby([df['Date'].dt.date]).mean()[1:]\n", + "daily_df.head()" + ] + }, + { + "cell_type": "markdown", + "id": "c45cfc75", + "metadata": {}, + "source": [ + "**This is how our data looks like.**" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "a781d855", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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3jQn7EyzdFJl3pTPvGZF57Pgrdr6ra7w2z/H25/M9PI5Xe+tWmE62jwJ4TA+3c5i3jWmYq6N38uZbDtOBMu3N/+mK9R/uzb+iZN7HwHQ4HQNzVXGwtBBM58mbUCzD9rGa7Wdzdt+CyW55QOj91IPX2H8NDk9c7mXeclsBLBnU8YMpd2bnux9AIzKfwHR6hko37V+y/pOc+W4tme8hKJaJ/SGAPwzMOwHgPciXxJpDSRkyFMty2XaxESbDwH/NJzCPMnAwpf3c7TUB7DLfdlZzH56YvdfsPrRgghOFfxdMB+/HvLazGSXnIRTLGtpz/e0A/p/flmA+E77gLVNZxmsI/w7bNu6COQdNePMvAfBgb9q/wwT+PwnTkR4swwkTWDwCJjDkvgaPiMz/MJjP+zd7+/jRbHro9qDAeg73ll9R8nosQ7FE4s0AXhyY91EAfuPNuwPAkyqOaajdNAH8J4A9AvMfimIJ1Q/04T1zhrP+lTXm3eK00Z+G2htMEOJK799Qu1x0xT6d7K3/L3v9GlVsfwJmnE53Hy4B8JLI/AfDXHTlzv/xGm2n1uc7ip8Dtk3dCXPOEm/Z/bL9d5c5Aqakr8J8F34vvPLRMMH133rLHVfx75qEOS8cD3Pe2T0yXwPmAhr/++NRCcdnpTP/OnS+938d3jktm/9ZAFZ52/mvkvX75/cDa7QdtxzzGnifybzxxhtvvPE26reh7wBvvPHGG2+88WY6Abwfpit7sM67vXW+IDLfA1Cj8xdmHCQ3cHZhwjLufnyrYl63E+CMkvn+21vvsxL3/xhvuaQxlBLX/UrExz3R7JicABMIeT6ApV1sYz/kO2ibAN5QscxrYYIQ7jLR8a5Qr0N2JwB719j/fWGutLbrXo2K8c0ir+Vf9Oq4Jb4GhycsIzDZHO5yvxvk8QPw5972g51cMFe323m2wmQw2MfvjyyzBPnxoL5Rss8nevvxtwmv35NhOqsrzy0odpZqtuzT+9QeDvS2dWc/21+kbbmdqk2kXbDwMq/tRDv1UQw2KUxwpdD56i33fW+ZaMf+EP8ddyFy4UhkHQ9DJOAcmf8N3vaiHdGR9vuumu3hcG/5FSXzftKb9yYA+5bM34DJMnGXObdif/zXuwXgTQnH1F3moj68b85w1r+yxrz29mWUjFsIkw253pl/Gl2M/VSy/mu8/Xlpr1+jiu1/zNv+j1ER/IApjeu+x7cC2KtG21Ekfr4H3kcK8z2r7P3wQOTHOtsIcx7aAuApJcvthHzAaQcCAWFnfkEkeB6Zf2eYTHO7/m0IBA29ZVYG/v2lFyIBeDzy46vdjfjFNQd46/5q4r/lBd5ynx1ku+WNN9544423Xtw4phkREdH42uA93js0k6rer6pbUleqphzNp5xJB4nIitp7N39Hw/wYt94bm9ESkV1hrvi1LlTVa3q1Q6r6GwAfgekwDHkQzNXPRwA4C8AGETlJRN6WlfVL8ZfIl9g+WlV/UrFfPwfwFWdSA8AHE7dXSlW3qeraGvOvgRk/z3ooiiWoqvxSVb9WPdvgiEgDppTRi7yn/P3s9/FLHdfMnX42THZJ1TLPRr5Ea3A8s6wU3KucSd9T1SMj62xT1SsB/IMz6SAReXbVco5/UdVLa8xfh1/WbmOfthPzR8iX1vq0qh5ftZCq/g4mW8B6g4g8PDZ/wDtU9e6KeQ73Hr+wZN5h/Ts+qKq3pc6sqqs1vaQcsvewW+b3T2rsW99kpWA/4ExSAO/MzsNB2b/7vTCBRus5InJgjU0frarHlc2QHdPznUlPF5GdY/MPwTUAPqKqGptBVe9F/ty8BCabp1eGdt7Jxs90P6tvAfB2rSihqaobYMYOtK+brVKQar6f73+lqitjT2bH7HvOpN1gPlP/SVWvKFluG0xGmrUU5jMxNr+q6qrEfYaqbkX+dVoOc76s4yRV/UzFdq6FCX5aD0JkvFFVvQ6AO4beW0QkZUzIP/MeszQjEREtOAyaERERja8N3uPloZm69HPv8TN7uO4kqnozgNOdSW8WkV0qFnszOuPjAH34Ia+qXwDwUpgrrassg7na/rsAfp+N81Plbc7fTQD/mrhrn4LJcGqvR0QkNnOf/Rbminyrbvv5bA/3JdUeIrLCuz1KRJ4hIh8EcAWAD3nLnIPieHl9PX6qeivM1edWLAB2iPP3qcgHwF4UaRuHeI9j45n9pff4XyLzhXwd5gp769DE5bagGKDspT29x8md1yLyPBHRxNuKyGrc13QrTOA9lRtsmkBxLL2Ys1X1/KqZsgspbnEmPblk9mH8O26FKbHXb+7n4iNF5IED2GaVQ2BKpVq/TTymm2GyuV1vr7Fdf9mYXzt/N9CbsQd75XOaNvbnr73HZe2/rvmcd25OPOccHlnF62ECKtZ/qOqOlG2r6lUwmXtW6nkcmN/ne+p73f/s2oy074P+cr081lDVq2HGPbPqfjfq5n0HlP873M/V3WDGVo0Skd1hxre0zlXVGxL3i4iIaGQwaEZERDS+5vU5L8bOIvJgP1iA/ODeAPC4+WxrHo52/t4F+SyyEPfq1y0wYyz1nKqeBlP+7lAAP0IxgBnycAA/EpHPxWbIXvsHO5POTMgCsfu0FmZ8FGsPmDFZ+kZEdhKRB4rII73281CYklZWnfazESYzatD+BqYzy73dAuAiAF9CsbP3RgCvd7MUBnj83I6954nIEvfJLPvkBc6kU2HGebEdsnsh3InmBuCuza7YD3GDa5dngbwkWafsxc6k5yYuelp2pf6gRLNPek1EppDPxvxdzezgVTDjklmpr+lvU7cBM36NtU9ohiH+O35Vli1Uh4g0RGR3EXlY4HOx6c0+rM9F13O8xz+osawdHzG2rpibarzn/c70YNsZktT2P8h/w8DOO8ifxxXFC0CqnOX8fWCWuVZlvp/vpyS+12/xHp+X+Plxs/e4q2MtIstEZF//u1F2HlnnzFrnHLIN+de8TJ02ezzy39eqqjq8FfmL9L6euE9EREQjZbJ6FiIiIlqgdvceb69aQESeC5ON9SyYcQ9Ss9P8q6EH5acA7kPnB/+fwYxZViAiTwBwkDPph3U6bOvKSlz9GsCvs9J9T4Yp5XMgzNXDB0QW/bCI3BUpsfN07/GFNXfrAuTL5j0dwHU11xGVleV7K0zH+BMB7Jq4aJ32c2WvOsD7ZA7At2DKevnta1DH7zQA78n+Xg7T7s50nj8IJsgMmA66K1S1JSJnAXhNNv3FMNlzAICsbJr7/glmmYnIvgAe40y6rYvyrZudvx+VuMwVNbdR13rvsX9+7aenIl8W844uXtP1AB6Z/Z36ml5fY/1uBsxukXmG9e+4ouY22rKO/kNhxix7KsyYnhOJiw/rc9HV9TlHVdeIyG3ovM5PEZEJVfWDg75u2w0QbzuDtklV76qeDUB//w3rkb/QYpDnHTcofTeAPUWkTpt2s/SWwmQ8VpVIne/ne2pG0ybv8Y1dLpd0rEVkf5jvRi+C+W7kl92MqfN636yqc4nzJrdZVd0hIt+GuXAIAJ4vIo9V1dhr5l6ctgkm6EZERLTgMGhGREQ0vvbwHt8Xm1FE/hCmBMvzu9zWUDq6VHVGRL4J4O+zSc8WkQOycRh8f+49HtgYC1kA7fLsBgDISne9EWbMkP28Rf5NRL4X6LTzrwa+qeau+J0cPbkiXkQeBpNt9bouV1Gn/UTb8RC0YDqF7ocpx3kezPhdd0bmH9TxC41rdqb32DrdGbvpVOSDZv/jzPcC5DNMg+OZAXiY9/j12a1bqZ2L/W4X93uP63ReX4zie9z6IapLcPmv6YdQLAVaR+prWmf8JLeDPPYbc1j/jq7ahogcCuDLAFZ0szxGIwDkniMUxUyZKjeiEzSbgmn3/nvB1227sdsYBcn/BlWd9arZ9vLfcD+6D5q9MLIvfwygdNyrjPt+TQl4VXlAwjrmex5PPW5+cClpOVWdq3OsRWQPmHKT7wHQTTnsOueQfr7vvoZO0Aww2WZ/788kIk8B8DRn0vezseCIiIgWHJZnJCIiGkPZ1cD7epPviMz7NJiBvrsNmAHD/U7xdeRLFhVKx2TZAu54LFerat0sn55S1XtV9csw5Xf+z3t6KfIDwlt7eI/9q56r+J0q886EyDJFzkH3ATOgXvvpW3ZghU+pqni3CVXdU1UfraqvU9X/LgmYAQM6fqp6D/LZHv64Zu7jUyN/vyArpxdapol8EM6VGshIVTVOodXvdnGP9/jBCWMoAgBUdVpVV4ZuAFLGCBrWa9qqnqWWBdM2ROQ9AH6J7gNmwGj81t7D+XurEyBP1c1nRq/bzTCMyr/BP+/8QeqCqnpn5JyztmrZrIRvaqZ4qpT363zP490et54f7+x7+Gkw30m7HT+2zjmkb21WVa+H+Z5nvTNrIz7/4jSWZiQiogVrFL7IExERUe8dhPyP9E3IjwUDAMjGOvoB8h1ha2AyTF4LU6LxAQCW+wGDvu15Tap6M/Kl4t7pj+EEk+nidtgOLMusiqrOwATIzveeeknK4jU314/jdgw65dIA09a+ApNF9yQAe8OUZGt47afQHhehfh4/NwB2kIjsCgAishym/GphPlW9BoAdp2xn5DOg3PFtLlPVDZHtjkqmSE+p6moAbkC0gfwV9f3U69d0WOfvBfHvyEqpfcVb/7UA/hEmePwYmAyQpd457UX92J8e6qbs3ch81i9SF3iPDxzQdvtxHl9sbelImJKu1g4A3wbwjmz6A2E+Zye880jsgpRh+5rz9wPRyUoH0P5u8VZn0uWqetkgdoyIiKgfGDQjIiIaT4d4jy+IjBPxJuSvXD4DwP6q+lFV/YWqXqeq61U1lw1hO+BHyNHO33vDBPxc7hgL0wC+2/c9qiG7+v8ob/L+gVk3eI/rjm/il/rxx2mqRUSeh3xH8TUAHqeqf6mqP1bVq1V1napuD7S/UWtDg7DBe9zP4+cGzSZhyisCZry5pdnfd6iqXyLSDUC/GABEZC8AT4ms2+eXbgtl6NW6lWxr0M72Hs8nO7cO/zV99zxf0xUD2m/fQvl3fByAe+HFZwE8UVU/raqnqeotqro5u+DBNYrntA3O37tk42vW0dPPDKrNP+c8bxAbVdXtyI+De+Z8z+OqesYg9n0UiMjDAfypM+kuAE9R1T9V1e+q6hWqukZVtwWyP0fxPAIAP0b+HO5Xdfhj5DNbR+biNCIiom4waEZERDRmslKE7/EmnxiZ/VDn7xaAP1XVlJJxD+pm3/ropzAZclb7x7yI7Id8YOcEVa0ak2UYrvQeh8pg+eN9PKbmNvzSTvMdP+RQ7/H7VfXuqoVEZBmKpQoXg0EevzOQL9f0Yu8eAE4JLFcImsG8fyQyj+9e73Eo+LtQ+a/Xu8Qb4KZPxuU1XSj/Dve89nsAH49cdOIbtc9FIH+OEACPrrm8e86ZRb1xk2j+zkM+eLV/drHKILjfqUb1vTqqXoX8Z+bfq6o/JmnMKJ5HkF08921n0itE5KHOYzeIth3A9wayY0RERH3CoBkREdH4+QBMtpU1DeD7kXndTvvrVXVV4jaeVT3L4KjqLIBvOpNeKiKPyP72x5MY1TEW/KuNQ8HLS73HzwzMU8Y/bv766nLbzxZVPTdxuWdgcX4PHdjxy8onuqWRDvHugXDGmDvtmSKyk7fMNPJjm/jbXYn8ODwvGlBgaRB+AGCd8/gxAF45gO1eAmDOeeyPUbdQjPy/I2vvbqf1yYFMkJg6n4vdlErsRtfnHBHZB8CjnElXqGqzJ3tFSVR1M4BveZM/NKDNu6UhHyIijxvQdseBf0HMSSkLZRlqD+n97vSMW6JxAsC7AUBEHoNONjsAHK+qDLATEdGCthg7K4iIiMaWiDwVwBHe5K+ramzgd7c8XEqGmfW2Wjs2GF9HpyOyAeDdIjIB4F3OPLfAZOCMosd6jwsZW1lAwp1+sIg8MGXlWYm9lzmTNgC4vt4uFrjtZ3ON5Uax/fTdEI6fmxH2pGyspqdFnrf7eBuA27KHS2BKELrBjQuy0l1l3MDbgwG8vGL+BUFVtwH4X2/y//a7XK2qbgFwoTPpIBE5oJ/b7IcF8u/Yw3uc9LmYBdteV2M7095jfxzOXjnPe/wnNZZ9C/IXnPjjbtJgHIn8RTVvFJE/GsB2C5m1A9jmuPBLL6d+vx7p70aqegPyJUPfk10U82fInytYmpGIiBY8Bs2IiIjGhIgcDOC36IxXBJgO+sNLFtvg/P2YlPFOROSFyHfejwRVvQX5zvp3w5TZcsvH/F9ima3aRGSFiPjjv9Thl9Q8IzKfmzU4AeAfE9f/zwCm3PX04LXY4Py9r4jsUbWAiDwWwDvnud2FbJDHz30/CIBPZdsEgOtKSmm6y/0p8iXaysYzs77qPf4vEVmesNxC8DkAbkbuIwF8Lys52k/uayoAjuxifKpRMOr/jg3eY78kasxHATygxnb8LIx+lWQ7HflA/atE5MCqhURkZwAf8yaP1Figi4Wq3ozimKffEJEn93nTxyE/ht1fZxdeULUN3uPK84iI7A3gI33Zm95ys832g/k94I7fdqOq+mPxERERLTij9AOFiIiIuiAijxaRL8FcFbyv89QOAG9W1XXhJQEAVzt/7wPg7RXbegxMx9molltzf8w/EsCXncdzKJY56qWDAdwmIh+vGzwTkQ8DeLU3+bjI7P8LwC2R9Vci8pqK9b8GwAedSS3kX5tuue1nAhVlo7JyX8cDGJcASjcGefzOATDjPH6z83dZ8MvNQHtzyXNBqnoO8lkKTwLwg6wjPokYrxaRfavnHhxVXQ+TrTPrTH4NgN85JWGTiMgkgF0SZ/8BgBucxy8HcFS2juTtichb6yzTByP978iyCW91Jr26KlAgIq+GCWrXcSvybeiQ2IzzkZUudgOVDQDfzjJXg7Ig5jcAPMyZfIGqXtyPfaQkH0W+1OY+AM4Skdd2sa7QeKkF2fi2/+NM2gnAidk4sclE5Ckpgdoxc7X3+G/LZs4yVX+E/Hf4UfVj5MsUfx35oD+zzIiIaCwwaEZERDSaJrPMJf/2RBF5voj8sYj8l4icDeD3MB3qE87yGwG8VlXPqtjOj73HXxURW9awTUSmROSdAM6F6UiLlXsctp8DuNd5/HDn7xNLMmt65QEw5THvEZHviMirRMQv09MmIgeKyI9hsldcP4tdqauqtwL4T2fSBIDjs2BdLhglIstE5GMwgSr3mH5WVedbmhEATkB+bJ7DROTvRcTNdoSINLJyUhcAeCJMQHdLD7a/4Azy+GUBAHdcGjfY7ZfecrmBMXeZLQAuqtpu5t3IvxdfC+CyLNixNLRA1k6eJCKHwQRWfol62TsDoaoXwJxz3bb/fAA3iciXRORZ/jnUJSIPEpG/BHAdgKcnbrMJUy5vmzP5/QDOE5FDY9vLAkzPEpH/gim7+T0AQwuaLZB/h/u5uBQmIPq8wD7tLiL/BuCn2b4kfy6q6jTy76UXisg3ROTFIrK/97k/3yy0zwC40Xn8hwDOzbLGc7KAyC+RD5bPwIyVSkOiqjMA3ghgtTN5NwA/E5GzReQNZZneIrIk+z7yE5hyj6n+C8CZzuP9AVyefV5Fz80i8ggR+SsRORPA5QAWW9DsN8if494tIkdKoJSviDwf5rv1ITCfKWUXug1ddu76tjPJ/Z496z1HRES0YA3zKkMiIiKKeyg64wrVdTKAD2TlCkup6m9E5Cx0BvBeDuAYAP8pIhfDjFO1N4CD0BnrpQVTSvAXXe5f36jqrIh8E8AnAk8P8urX5TBZe28H0BKRGwDcCdOp2gCwF0zwKDSe1VUw40OU+VcAzwbwkuzxUphg3SdF5PxsO3tl8/idNGehflZEkKpeKyLfBfCObFIDppPtEyJyAYD7Ya5qfzry/9aPwpT+Ss2yGTeDPH6nofP+tprId4TmqOq9InINgCd4T52dZa5UUtXVIvI6ACeiE/j6A5hgx/+JyOUwZeO2w3T+PhDA4wEkZ6MNk6oeLSJbYK6y3ymbvAQmmPZBABtF5HqYY7kBwDKYc+hjke9kdP0cwH0l27xCRN4Kk61lA6zPAPArAFtE5DIAa2CCHLsDeAiAA5Av2Tt0C+Df8VkA74V5DwLACgBnZ+fxa2DePw8F8Ex0SqauhTmvfavGdr4E4LnO4/dmN9+ZMJnMXVHV7SLyFphzwR7Z5McCOENEboH5N03DlFo7EPlAuQL4sKpe0e32qTdU9bYswPJTAE9xnnpedmuKyHUwFyvYAO4uMFn3j0V43LzbUHIBharOicgbYb5X2nKQu8N8Xv1n9jmxEua74k4w5/oDYDLhFi1VXSsi/4P8Z/VHAPx59t3oXpjPvScDcDOU/wfmXFgIaI+YoxEuJfkLVV0z6J0hIiLqBwbNiIiIxsMOAL8G8CVVPaPmsm+CGT/rcc60B8GUHPPNAnifqv5SZFQrNOLrAD6OfMffnTBX/vbTPTCDvfulGRswnUgHJKzjOAB/WVFS03ZkvRrAsTCl4qxdALy0ZNETALwtu2q9V94P4FHId/7uCeCVkfn/WVWPyjKoFqUBH79TURzX8BJV9cdUCi3nB81SxjNrU9ULsrJcxyOfUbUMJiBYZUd2G0mq+n0RuRQm+OEft90BPCtxVRcA+CdVTSl9+XMReS7MueIxzlO7oBgcDdkEc+HDUI3yv0NV7xOR/wcTxHPP549D/nPSuhdm/MxCFknFdn4kIs/EAMYxUtXLReQFMP8mt5P+0dktZAeAv1BVZo6MCFVdKSLPBvBPAP4O+VLHEzAX4zwxYVVrYDLcP5dlDpVt8z4ReQ5M+Wu3hHcDpvTuk6p2G8Ux/BaDT8Fkdf6xM20XdC6W8R0N89218nNg2FT1Bu+CO4ulGYmIaGywPCMREdHC0YLJyrgHwBUwVxv/B0xn3b6q+oYuAmZQ1XthMsm+lK0/ZCbb3jNU9Vt1tzFIWfk7/8rpb2Zlwfq53d/CjEfxGphxq65BvnxbzGYA3wHwAlX9k6qAmbO9aVV9M4BXADivZFsKUwbsNVkb6WkQIisB+CKY7KlYx1gT5kr1F6nqv/dy+wvVAI/fhQC2etNSgl+heWp35qnqbTBXzr8BwNkwYwuW2QoT4P4AgAer6sq62xwkVb1RVV8GEyD7P5RkijmaMOeHzwJ4vKo+OyVg5mzzcpjO2PcAuAzV55kNMAHXdwB4UI+D5l0b5X9HVh73QJggU2y/7gdwFIAnquqlkXmqtvO3MBlrRwG4GKY0W1/+Xap6Nczr/c8A7iqZdQtMQP+xDJiNHlXdoar/DJNB9o8Arkxc9B6Y0qOvA/BQVT2iKmDmbHObqr4D5uKH41FdXrkJczHAYQAerao/SNzHsZF953wTgL+Bee1jzgfwBlX9C1Ud+gUNNXzNe7wKwO+GsSNERET9IKopfTlERES0GGTjLTwf5sr/XWBK/NwJ4DxVXT/MfatDRI5H5+pehem06bbc5Xz2YzeYskiPgSlXtCtM0GATzGt7NYDf96KjRET2hSnR9CCYElwbYTpqzlXVsg6bnsnG5HoOTMfs7jCdyncBuHBQ+7BQjcLxG4TsHPMcmPJ2e8GUt9sM82+9HsCNqSUgR5GYFNz9YTJLH45O9tEGAOthxiS6TFX9QOZ8tmlLeT4I5jVtwJxj7oR5TW9aCJ2xo/rvEJGHwHwuPgymUss9MB3E545KALIbIvIUmKykfWBK990H4FYs8H/XYpSNL/ZUmBKbD4ApZboZ5ryzFsCVqnpHD7c3CXOx1aNh3qs7w1zwsA5m/LzrVHVRjlsaIiJTMK/Xk2Ay8TfBlCe+bBjfTXtBRA6FuajAOlxVPzWs/SEiIuo1Bs2IiIhorGSdR3ejM37HKapaVvKOiIiIiIgSiMiPYTLIAVMJY0UvA7NERETDxvKMRERENG7+FPkB778+rB0hIiIiIhoXWWb8HzmTTmLAjIiIxg2DZkRERDQ2spJBf+1MuhdmLDYiIiIiIpqfD8KUVra+MqwdISIi6hcGzYiIiGicfBhmTA/rqwt5fCQiIiIiolEgIisAfMSZdCuAXw9nb4iIiPpnctg7QERERNQNEdkFwN4ABMCDYcZW+JAzy0YAnx/8nhERERERLWxZkAwAdgVwIIDDAezizPJvqtoc8G4RERH1HYNmREREtFD9MYBvljz/CVXdMKB9ISIiIiIaJ7eVPHc+gG8PakeIiIgGieUZiYiIaBx9XVW/OuydICIiIiIaM7cB+BNVbQ17R4iIiPqBmWZEREQ0DhTAegCXADhaVX8y5P0hIiIiIhoX2wHcBOBnAI5U1Y3D3R0iIqL+EVUd9j4M1N57760rVqwY9m4QERERERERERERERHRgF166aVrVXWf0HOLLtNsxYoVuOSSS4a9G0RERERERERERERERDRgInJ77DmOaUZERERERERERERERESLHoNmREREREREREREREREtOiVBs1E5K9F5ImD2hkiIiIiIiIiIiIiIiKiYaga0+wLAFRE7gdwFoAzAJyhqlf3e8eIiIiIiIiIiIiIiIiIBqUqaAYAAmAvAK/LbmAQjYiIiIiIiIiIiIiIiMZJVdDsiwBeAOBJyJdyZBCNiIiIiIiIiIiIiIiIxkZp0ExVPwwAIrI7TPDshdntKQAmnFkZRCMiIiIiIiIiIiIiIqIFK6U8I1R1I4BfZjeIyK4Ano9OEO1p3roYRCMiIiIiIiIiIiIiIqIFIylo5lPVzQB+nd0gIjsDeC6Ag2GCaAcCmHIWcYNo2u12iYiIiIiIiIiIiIiIiPqhJ8ErVd0K4HfZDSKyHMBz0AmiHQQTRJNebI+IiIiIiIiIiIiIiIiolxp9Wu8OAPdnt/UAtvdpO0RERERERERERERERETz1pNMMxFpwIxrdjBMZtnzAOzmzpLdzwK4pBfbJCIiIiIiIiIiIiIiIuqVroJmIjIBM27ZwTBBsucC2MU+7cy6HcCFAM7KbuerKrPOiIiIiIiIiIiIiIiIaKQkBc1EZBJmXLKDYYJkzwGwk33amXUjgPPQCZJdrKpzvdpZIiIiIiIiIiIiIiIion4oDZqJyD/DBMmeBWC5nezMsgbAOegEya5UVe3DfhIRERERERERERERERH1TVWm2acAKDqBslUAzoYJkJ2tqjf0cd+IiIiIiIiIiIiIiIiIBiJ1TDMF8BsA3wZwlqre079dIiIiIiIiIiIiIiIiIhqslKCZzTJ7ZXaDiNwM4ExkZRlVdVV/do+IiIiIiIiIiIiIiIio/6qCZvsCeAHMuGYvBPBEmCDa/gAeA+C9ACAiq2ACaGfCBNFu7tcOExEREREREREREREREfVaadBMVdcCOCG7QUT2RD6I9mQADQCPBPD27AYRuQdZFhqAM1X1uj7tPxEREREREREREREREdG8pY5pBgBQ1fUAfp7dICK7A3g+OkG0pwKYAPBgAG/KbhCRdQDORqec4+U92n8iIiIiIiIiIiIiIiKieasVNPOp6kYAv8puEJFdATwPnSDa07Nt7A3gddlN57tdIiIiIiIiIiIiIiIiol5q9HJlqrpZVX+jqp9Q1WcD2AvAxwGsyWaR7EZERERERERERERERIvYTy9fjY/86Iph7wZRW0+DZgAgIk8WkQ+JyE8A3ArgCAD7zHOdx4jIGhG5xpn2GRG5QUSuEpGfisge89tzIiIiIiIiIiIiIiIalI/86Er89PI7h70bRG3zCpqJ8TQR+YiI/Cwbu+wyAJ+DKcW4FzrZZQJgDsCFXWzqWwBe4U07GcATVPVJAH4P4B+6+kcQERERERERERERERHRoldrbDERacCMU2bHLHsegN3cWbxFZgFcCuCM7Hauqm6tu5OqepaIrPCm/c55eAGAP667XiIiIiIiIiIiIiIiIiKgImgmIhMAnoFOkOy5AHZxZ/EWmQVwMYAz0QmSbevVzpZ4D4AfDWA7RERERERERERERERENIaqMs02ANjJeewHyWZggmRnwATKzlXV7b3auRQi8k8wZR+/VzLP+wC8DwAe8YhHDGjPiIiIiIiIiIiIiIiIaKGoCprt7D2eBnAROplk56nqjj7sVxIR+VMArwbwYlXV2HyqejSAowHgwAMPjM5HRERERERERERERESD1WopGg0/Z4do8KqCZjMw44WdARMoO09Vp/u9UylE5BUAPg7ghQMqAUlERERERERERERERD3WVEWjUOiOaPCqgma7j0KQTER+AOBgAHuLyGoAhwH4BwBLAZwsIgBwgaq+f2g7SUREREREREREREREtTVbiqmJYe8FUUXQbBQCZgCgqm8JTP6/ge8IERERERERERERERH11FyLoyrRaGgMeweIiIiIiIiIiIiIiGjxajYZNKPRUFWeMYmIvDNhtntV9aRebI+IiIiIiIiIiIiIiMbDbKs17F0gApAQNBORJwD4dvbwBFX998Bs3wJQFQqeE5EnqeqN9XaRiIiIiIiIiIiIiIjGVZPlGWlEpJRnPBzAUwA8DMBXK+aVktsUgH/rcj+JiIiIiIiIiIiIiGgMcUwzGhWlmWYisi+A18FkkX1OVddWrO9HAG4ITH8igNcDeK2I7KWq67rYVyIiIiIiIiIiIiIiGjMc04xGRVV5xtfDZKPtQHWWGQD8QFV/4U8UkV0AvBTALgDeAODomvtJRERERERERERERERjaI5jmtGIqCrP+Nzs/nxVXd/tRlR1C4CTsofP6XY9REREREREREREREQ0HkTMPcc0o1FRFTR7MkxpxrN7sK1LYcY2e2oP1kVERERERERERERERAvYRBY1m2V5RhoRVUGzB2X3q3uwLbuOB/ZgXUREREREREREREREtIBNNEzQrCzTbOXarYPaHaLKoNnu2X1VacZ3AHgngEtK5tme3e9RvVtERERERERERERERDTObNAsNqbZSdfeg4M/ewZ+e809g9wtWsSqgmY7svtdy2ZS1e9lt7tKZtstu59O3TkiIiIiIiIiIiIiIhpPtjxjLNPsxns2AwCuuXPjwPaJFreqoNm67P7BPdiWXce60rmIiIiIiIiIiIiIiGjsNdqZZuGg2eRENuZZJBONqNeqgmYrAQiA5/VgW3YdK3uwLiIiIiIiIiIiIiIiWsCqxjSbapgQxlwzPuYZUS9VBc3OyO4PFpF9u92IiDwQwIsAKIAzu10PERERERERERERERGNh4aUZ5pVBdWIeq0qaHZidr8MwKfmsZ3Ds3UAwK/msR4iIiIiIiIiIiIiIhoDE1mEohkpvzhlyzM2WZ6RBqM0aKaqlwI4DaZE4/tE5G/qbkBE/hrAX8BkmZ2erZOIiIiIiIiIiIiIiAgaSSSbnGB5RhqsqkwzAPh7ANPZ30eKyPEi8oSqhUTkABH5EYDPZ5OmAXysq70kIiIiIiIiIiIiIqKxFKu+aMszxso3EvXaZNUMqnqZiHwAwDEw2WKvB/B6EbkawPkAbgWwIZt9DwCPAvAsAE/Kpkl2/wFVvbxne05ERERERERERERERAueRlLNJttjmrE8Iw1GZdAMAFT1WyKyFcD/Adglm/zE7BZjg2VbALxHVX/c9V4SEREREREREREREdFYiuWR2fKMs8w0owFJKc8IAFDV42Gyx74BYAYmKFZ2mwHwdQBPYsCMiIiIiIiIiIiIiIhckuXexDLNpmymGcc0owFJyjSzVHUlgPeJyMcAvBDAcwE8BMBe2SzrANwF4FwAZ6rqxt7tKhERERERERERERERjZtIzMwZ04zlGWkwagXNrCwY9ovsRkRERERERERERERE1JVYHpmICZrNMtOMBiS5PCMREREREREREREREVGvZDExtCKpZrZsIzPNaFAYNCMiIiIiIiIiIiIioqGJlWe0k+cimWZX3LEBp9+4pj87RYtSV+UZiYiIiIiIiIiIiIiIeiFWfNEG0+Za4Tled9S5AICVRxzah72ixYiZZkRERERERERERERENHBZdcZ2GcairDxjk+UZaTAYNCMiIiIiIiIiIiIioqGJlmesyDQj6jUGzYiIiIiIiIiIiIiIaGg0UqDRTo0mohH1GINmREREREREREREREQ0cCKmQGMrUn2RwTIaNAbNiIiIiIiIiIiIiIho4OxYZvERzcqfJ+o1Bs2IiIiIiIiIiIiIiKjvjj1vJb59/srCdI2klDHTjAZtctg7QERERERERERERERE4++wX1wLAHjns1cA6JRnjAXHGDOjQWOmGRERERERERERERERDY1GwmPt8o1MOaMBYdCMiIiIiIiIiIiIiIbiC6fchHcec9Gwd4OGLJppxlgZDdi8yjOKyIMAvBjAAQD2BLAsYTFV1ffOZ7tEREREREREREREtPB97pTfD3sXaAS0ouUZGTWjweoqaCYiewD4PIC3ApjoYhUMmhERERERERERERERjaGt03O49q5NOGi/ByTNHy/P2Mu9IqpWuzyjiCwHcBqAd8AE3aTmjYiIiIiIiIiIiIiIxtTfHXcl3vS187Fm046k+avKMzJ4RoPSTabZ3wB4CgAFsAHAUTBBtDsBTPdqx4iIiIiIiIiIiIiIaOG58d7NAIDN03PYt2Q+ydJsNBIVY6yMBq2boNkbs/t1AA5S1ZW92x0iIiIiIiIiIiIiIloo/vWX12Gm2cS/v+6J7WmTDRMNm2umhb1ic9lgWjdjm928ZjN2WzaFfXdbVntZWrxql2cEsD9MGz6KATMiIiIiIiIiIiIiosXrmHNvw3cvWJWbNjlhQg+zzVbSOqLlGeexXy858iy84DOnz2MNtBh1EzSzruvZXhARERERERERERHRohUrz0cL09RElmnWKj+utjxjqyJqVrd52Pa0YzYtaEdkdRM0W5nd79LD/SAiIiIiIiIiIiKiRaoquEILy0RWnrHZmm+mWXftYvP0XPvvVeu24Zyb1na1Hlp8ugmanQBAABzc210hIiIiIiIiIiIiosWg1VJMzzXbj1PHvqKFYaphyzOWH1cbLIuPaVb+fMx9m6fbf7/gM6fj7f93Yc010GLVTdDsSwDuAvBmETmwx/tDRERERERERERERGPu739yFR77yd+2H88mZiTRwjBpyzMmBkNj5Tm14vmY9VtnAAC7LpustRxR7aCZqq4D8FoA6wGcJCJvFbGVR4mIiIiIiIiIiIiIyv340tW5x8w0Gy9TE1mmWUUw1EYWouUZu2wWNsPN7gdRqtphVhE5JvvzGgCHAPgOgCNF5BIAawFUXRKgqvreutslIiIiIiIiIiKihWVmrgURdlxTtbkmM80WumZL22OZTWWZZrNziWOaRQow2ul1Y2c2M028acz/oSrd5Ca+C05WZHa/D4BX1lgHg2ZERERERERERERj7gmHnYQH77EMZ37sRcPeFRpxsy1mmi10O2ab2HmpCTlMZmOaNROPa68zzZo2aOYEyZotbZeNJIrp9hIPmceNiIiIiIiIiIiIFoGZZgu3r9s27N2gBYCZZgvfjtlm++8Jm2lWETSTLGQQm63uWGaWDda5iWWzLAFKCbrJNNuv53tBREREREREREREY6Xbzm5aHBqSD5QwoLEwtZyDuN0Jmk1lZRpjwdC5Zgubd8y1H8fLM3bHnn7cLJ6ZZgvLMdHlGmmxqB00U9Xb+7EjREREREREREREND42bp8d9i7QEN1x/zbssnQSe+68JPj8ZKOBGSegMtdiptlC5B5DN/A5mY1jOBcJhv7jT6/GcZesxkN2XwYgoTxjzeiZzTRrOKlms8xmpAQcgZOIiIiIiIiIiIh6bt3WmWHvAg3R8//7dDz/v0+PPj/RyI/kEwuu0GibnusEotzs0qmsPONcpO7iL6+8GwAwkx33WGZq1+UZ1QbNOtMYNKMUDJoRERERERERERFRz7UqxjKi8bdlei76nB80Y0BjYZpxgmbuW36ykWWaRTII7fG3QbFoppl3n6rVHtPMyTSb4zmJqjFoRkRERERERERERD3HmBmVKWSascEsSDuccczc0JY9vm5QzWVjWTYjLHb0bTCtbsZZqDnNMDBLCaJjmonIC+zfqnpWaHq33PURERERERERERHR+NHauSG0mEx6QbMmg2YL0k1rNrf/dg/hrstM6OGGezb7iwDojDVmj3srVp6xy/1ql2d00oZiATwiVzRoBuAMmDap3nx2erf89REREREREREREdGY6XIoIlokGl7QjO1lYXKDYu4xtGURr7lzIwDgglvX4c1HX9B+3h5+GzSLlmesyESLaZdnhFOekZlmlKAqeCU1pxMRERERERERERFFM0eIgGKmGTMTF6Yds+6YZs4x1HwG2ek3rsktZzPN5prdBcWq2O26zYxBM0pRFjT7VM3pRERERERERERERACYOUTl/DHNGDNboJw3ei5mlt3bko3i5eHYTDQ7zlhszLLOmGb1dstmsNngnLstojLRoJmqBoNjselEREREREREREREFoNmi1fK+GTFTDNaiNxDHcoujQXDJhr+fOH1d5uB2N6XXKYZWxlVa1TPQkRERERERERERFQPy+0tXill8PxMMwZZFyb3fR6ozth+1k8sdDPA/PXkpmeTV92/DWffdF/yfrWKMTPMzjHTjKoxaEZEREREREREREQ9xyDI4jWXlGmW75pmkHVhauVKMmrxbxu8qgia2fXccf82fPakG9sZam6r+PwpNyXvV6g8I8c0oxQMmhEREREREREREVHPhUq10eKQktHTYKbZWNBcecbi9Nh5wA+i2dn+4juX4sun34xb7ttSWL+3SCm7XXc7HNOMUjBoRkRERERERERERD3HGMjiNduqDk5MTeRDILet3doOlNDCkS/P6Gaa5e/FC3nFyjPabDAb33LX7wfayrSCmWY8K1G1yWHvABEREREREREREY0fZerQojWXEJxYPjWRe3zYL64FAKw84tC+7BP1R1WmWew04I9xZuezQS6bKZbPNEuPmjXbZSFZnpHqYaYZERERERERERER9RxjZotXStBspyUTlfN01tfClum5+ewS9Uk+OF4c0yxUJhEIlefMz9cJunV3IrGZZu5WGDSjFAyaERERERERERERUc8xZrZ4pYwdtWwqPWj2oR9ejiccdtJ8don6pBXJNIOXaebniBXKM3qZYaFMszqDmgXHNEsYa4+IQTMiIiIiIiIiIiLquVaLYbPFai5hTLM6fn31PQDYpkaRBkoyAoGgufhjmuWfbml4etkRL8tCayrHNKPuMGhGREREREREREREPcfu6cUrpTxjq4uye9tnm93sDvWROu9095hqO1MsfJwLmWbIZ4aFxzTztl3ShGyA1Q3CsTwjpWDQjIiIiIiIiIiIiHrO7UBnhtDikhKcqNMklkyabuytMxzXbNS4gat80MxOs4/LD7i2M80k99gNyvnjopUFXtvtS6QdOGPQjFIwaEZERERERERERES95/RnN7vIKqKFy5bB84McrjpNYnk2/tn2GWaajRqN1GTU9r35a86LkhbHNMvaTPY4nGmWX6Ys8Nps5dcHpI21R8SgGREREREREREREfWc25/dZKbZotIKjCflq8o8ctmg2dZpBs1GjXsU3bd5O1Msu5/zAlYTDb88oyE20yywfl+oHGTwuex+do7nIarGoBkRERERERERERH1nNtpzaDZ4tIJmJSVz0tvEzstMUGzbSzPOHLywaniMbVv/dmmn2mWn8+uxsZZ1Y+6oZi5qIEgnb9fqtp+juUZKcXkfBYWkQcBeDGAAwDsCWBZwmKqqu+dz3aJiIiIiIiIiIhotLmd2H5pNhpvoeBJcZ50y7Og2VaWZxw5+THNnOlerthcKx+w8ku22vmLY5p1lI1p5rcnGx9zpzNoRim6CpqJyB4APg/grQAmulgFg2ZERERERERERERjzO3QbjFotrgEAh6+Ok2inWk2zUyzUZMvyeiWS8zf+9mmc17mmX1avMflY5rlyzPOzCm+e8HteMezHxkcE41jmlGK2uUZRWQ5gNMAvAMm6CY1b7WJyDEiskZErnGmPUBEThaRm7L7PbtZNxERERERERHRYvbba+7BDy9aNezdoDHkdokz02xxUjUBU3VK5f3iyrswM9eqNabZ0kkTNJueY9Bj9BQDZaFn/fKM++29c36+7OlOplnWZkpCr+r9/a3zbsO//uo6/OCiVe1Avbu8vw9EId2MafY3AJ6S/b0BwH/AlGh8HID9Em6P6mKb3wLwCm/aJwCcqqr7Azg1e0xERERERERERDW8/7uX4hMnXD3s3aBx5PRPc0yzxcU92o/6x1/jH7JzzPm3rMOHfnA5Pv2b64MBlpjJCRNImWHQbOTkxhVDPvML6GSDzXlZXsUx7cxjW4IxmGnmj2nmrFIV2LzDZCKu3zrbLv/oLj/L9kMJuinP+Mbsfh2Ag1R1Ze92J0xVzxKRFd7k1wI4OPv7WABnAPh4v/eFiIiIiIiIiIiIquXHG2LQbDHx4yE/vPgOHPGGJ0GyqMc1d27E1ER6Poedd5rl9UZOvgxrZ3p7RDNbntFrE34c3S5rA2OdTLO4XJAOismGaSdzrVY708wN2BcDdURF3WSa7Q/TVo8aRMCsxANV9W4AyO73HeK+EBERERERERERLViqim0zvR0vKpeBwr7qBef0G9bg3JvXJs//we9fhmf+5ykA4kHSXZeZHI41m6drBTCW2KDZbDN5GRoM9zDmxxiz95q77zzvPc7ajC3PGMo0K9u2aicjca6lweWZ8EopugmaWdf1bC/6TETeJyKXiMgl991337B3h4iIiIiIiIiIaKQcf8lqHPAvJ+H2dVtz0z92/JX4k6+d39U6cxkojJotOO/+1sV42zcuTJ7/V1fdjXs3TSfNu2bTNFSBZ+73AJz8kRdUzj9lyzMy02xomi3FV864BVum88F1NxCVH2MsnynmnwH8AJY/plkrEGwTrz6jv87ZrH3MzrU65RkDJSOJynQTNFuZ3e/Sw/3oxr0i8mAAyO7XxGZU1aNV9UBVPXCfffYZ2A4SEREREREREREtBOfdYjKK3nnMRbnpx1+6Ghfedn9X68x1oLOvekFJGYNueq6Jm9dsCT5Xdby3zzahagIk/jhVIbY8I8c0G57TbliD//rtDfiPE/O5NLGglPqZXoXyjOo9Nvft8oyBxfym4m9vaxbQ2zI91y7P6DZlBu8pRTdBsxNg2ufBvd2V2n4B4E+zv/8UwM+HuC9ERERERERERGPr2rs2YuP22WHvBvXRIx6wEwDg9nXberZOlmdcuM6/ZV3lPP/wk6vxkiPPxIZtM4XnUg53SzULkFRHzWwghUGz4bFHqZBNGHmfd8Y0K2Z8AYFMs+x5Kck08/mZbTYLrtnS4PIsz0gpugmafQnAXQDeLCIH9nh/gkTkBwDOB/BYEVktIu8FcASAl4rITQBemj0mIiIiIiIiIqIeO/SL5+DtNcq00cKz1y5Le75OZXnGBeuU6+9t/x0LWlxwqwms+eX6yvhBldRMM7scg2bDs9PSCQDF492KBKXamWbe487zhagZAKAh+cfubH5b8cdQ2zbTbC8aHtOM5yGqNll3AVVdJyKvBXAigJNE5K8B/ED7WBBUVd8SeerF/domERERERERERF1XH3nxmHvAvWR7Uy2Y0f1gkb+ptG3ycks3TbTxM5L63Ujp3QV20yzlBZn18YxzYZn+ZQJmm2byQfNQuOYuc90Mr7y6yuWZ8wyzbzHZeUZc1lu6JQVjQXKGDOjFLWDZiJyTPbnNQAOAfAdAEeKyCUA1gKoOnOpqr637naJiIiIiIiIiGjwWqxntSjYzmZJCmGkcTurr71rI3ZaMoEH7rasZ+un/tngBM0275gLBs1sGb1QICJ21nCDKi0165CEVDPblqZnGTQbtm3TzdzjfICqOH8n48wLknmH0j7b8NpVPtNMgsuY+TS/LS3uEzPNKEXtoBmAd6E4Dt8+AF5ZYx0MmhERERERERERLQBzDJotCu2gWe9iZrnO7g9+/3KIALd9+tDebYD6xh3D0A92JIksovkoBxqJmWZ2fcw0Gx4bcCorz/ihH1yOh+6xHE9/5J6V5Rn9AJZ9aM9BnUyzkjHNIplmTswst50mP88oQTdjmgHmXNbtjYiIiIiIiIiIFghemb842OBoo4dRM7/lsCktHLmgWeS4NRrlz1dpaY0xzbJ7jmk2PDbetG2miaNOvxln33QfAHNsJhqdg3jiVXeb6V7aTdX5oF2e0WaaBebzm4obUFPNl3QMlYXkOYhSdJNptl/P94KIiIiIiIiIiEYSr8xfHPqTaca2s1Bt3D6LhphASSxwbkt5FjOGNJod5E5tqWZZFtWNzralaQbNhsaW6p1ptvCZk24EAKw84lCoKiZE0PTHMKs5ppl9ZFtDyvkjn7nobssp1ejMxItAKEXtoJmq3t6PHSEiIiIiIiIiotHTZCfjotAZ06x32HQWrmZLsWSygR2zrehxtAFW/+lmS6PLuAEMbY9pVlx+y/Qcdl8+1Zk3u2d5xuGx10/441ya49h5bM8lfnlGv6UUAljZw+KYZp35/LbirkOhcKozOuUZS7ZJFNBteUYiIiIiIiIiIloE/A5SGk/tju4erpMd1AtXK8seKhPLCJorCZr522gENvEvP78GT/7U77BjttmeZtc3M9csLkADYY+zP86lar48o1si0V2umGnmP85KxDbyz+dnyzcYv/SiG7Cz62vlMs1C/zKiPAbNiIiIiIiIiIgWqZTyVyzPuDjYjvBeBroYM1u4Wi0tZPz4/LGnLD+o4spV08sylPzY3M+vuAtAPqvMtkuOaTY8scPqB1j9coze0GZtsc8fv+xnbkyzkjhubhwzZ4OtXGCNJyWq1s2YZgUisjeAZwJ4MIBdAWwGcBeAi1R1bS+2QUREREREREREvTXbTAiasZNxUehkZfRunWw5C5cCaDRsUCwW3Mjm9Z5uNmNL5Oc1mWbSDr7F1m/3B+CYZsMUC6i7bQUAWi073Queecv75xr7tF/2M96a/EwzzY1p1tlfZppRPfMKmonIqwB8AsBzS+Y5G8ARqvrb+WyLiIiIiIiIiIjSffzHV+H5f7A3Xv2kh0TnmWtVd0AnzEJjYK7Z6WzuFZZnXLhUgYmJ8kyzTlQrP8Nsq5XUjhRm/Co/ZBZctl2ekSekYQm9n0+9/l6oaq48Y9NPMYM5pv7SsfNDO4PRyTTba+cleOBuywpt0V2rIl9m1s7LMc2orq7KM4rxVQC/hAmYScnt+QBOFJGv9GSPiYiIiIiIiIio0o8uuQMf/P7lpfNUZZpdtmo9Vq7b2svdohHVzKKjPc3EYP/0gmWzwID4YYxmmrVKc4Ny2wiVZ2yv33nCrtEt2UiDFYo3vffYS3DZqg3ttgKEx0dUrR7TzLLxNzf7VUTQaBSDXv6YZu11KnJZZ1XbJHJ1m2n2OQDvcx7fDOBkAL8HsAXALgD2B/DS7B4A3ici06r64S63SUREREREREREPVQ1Xtnr//e8Ae0JDVuz3UHdwzHNGDVbsFSBiSzdojIjyJs+mxjY0iwY4ueahbZmd4GZZsMTawf3b53BA3dbWpgvH6wqng38jEI7hw3AdbKcTXB1QqSwD+5jhaLVDth1tud+znFMM0pRO2gmIk8D8Ncw56/1AP5CVX9SMv/rAXwVwN4APigix6pq+WVORERERERERDQwl95+P1oKPGPFA4a9KzRg7EAkq50doqZdxMaZqoNZHQtXSxUTUl6e0WYEBTPNIsv4Y1A1yjLNAssxaDY8Ze/niapMM4TGNIsFYzvLAFlwFSbA6l/ood6DTsDOHUuteptErm4yzf4cpp1OA3ixql5ZNrOqniAiNwO4EMASmAy1D3SxXSIiIiIiIiLqgzd85XwAwMojDh3yntCgsfuQrLmmm40RD2TUwf7phUsVaLTHqYoEN7Kwlh+ImGtpcJmPHn8lfnHFXe3HzawEZHFMs8D+2PKMDJoNTVnAqeGMaRYKVoUW9YNwdh6/Xdnz0URDimOaudsA0HS23R4TzZm/KruaCOhuTLODYdrat6sCZpaqXgXgWJhg28FdbJOIiIiIiIiIiHqMV92T1XTaQrNH7YLta+FSOGOa1TyMc81wptmPL12dG5Os2VQTHkkI0NpYxzTHNBuasszkiUYx0yy3LIptInZ+8GO1CoVA0JDQuvPB/k6grFOeMVfCkackStBN0Oyh2f05NZc711ueiIiIiIiIiIiGyS1bxSvwFzW3M7pXwS62qIWrpZ1ASOw4SqQ841wrLbA109TImGaBoItTnpFlZYcjuTxjIMNLtXhcC1lj2b1dlZ9p1giMaZbPNNNcmVl3+c6/gW2HqnUTNJvI7udqLmfnnyidi4iIiIiIiIiIBsLtPmRn4uI21yrPxjjxqrtx+o1r6q00oU2pKqbnmvXWS33XysYbA6oPoz132CDbXDMU9iqamWuWjmkWG71qhtlmfbdx2yxWfOJEHHfJHe1p6eUZNXdv/gb8WGo80ywfrFWYZMRg0Mz9WzuBPUWn3brL8NoQStFN0Oye7P5pNZez89/bxTaJiIiIiIiIiKjH2JlIVqsi0+yvvn8Z3v3Ni+utMzQ2lbfuz51yEx77yd9iy3Td6/OpnzSXaRYZ08wr39gOmrVaSWXwZpotiBSrMwbHNHOmcVyz/rtvyw4AwFfOuKU9LTnTzGZ7Oc9rrmBiNi2yvnCmmaDRKO6De666fd02XH/3pvYyzDSjbnUTNDsX5lz2HhF5YMoCIvIgAO+Bea+cWzE7ERERERERERENADsTyZpr9T6AGiqj56/7x1kmy4ZtM73ZKM2bPW424ydWbdGGSey5oz0UVaAUX0irZbYhkVSzXKaSM51Bs/5bMmGKxa133pdlZTHdQ9h+j7ulEzVUjjEcRHODsaqKn1y2Gndu2F4o4+kuAwAf/P5lubV39odjmlE93QTNvpPd7wHgNBE5oGxmEXkcgJMB7JlN+nYX2yQiIiIiIiIioh5jeUayUsc0W71+W/I6UzLNYgETGp7ts6ZcZnWmmblvB81sOcfE7TTVjmmWF1rebTdNpsX2nR2XbMO22fa0svPC5IQU5lMvcOUvHVtdpyyoFo61f/5wH/olZsPlGdl2qFrtoJmqngzgVzAXDzwOwOUi8jMR+UsReYmIPDu7/4CInADgSgAHwJzvfpUtT0REREREREREQ+Z2QF6+agNuuGfTEPeGhsntnNaSRJ63f+PC5HWGuqdj8Q72ZY+GHbNNHPAvJwFwxpaKBjeyTDSbIQQ3Q6h6Wy1VU54xYUwzt92wqfRfM5BeGMs4BCLlGf1j5meaFQ6kzVjstCs7y18f8hiIFI+9G4rzMxM7wbuOuzfuwF99/zJsn+E4ihQ32eVybwHwWwDPBTAF4DXZLcS+Y87JliMiIiIiIiIiohHgdlq+LQuGrDzi0CHtDQ1TaqbZ/VvTyyiGyrmllO274/5tuGr1Rhz6pAcnb4t6Y9opfdholGcBipMR5NJAVlGIqskqKuSahTIUveWov5pOgGy22cLURKOdfRbitpVg0CyxZCeQzzSz61g62SisM7SNzt+dZf1lTrzqbhzy2H3xhqc/LGl/aPHppjwjVHUrgBcC+AcA98IExmK3ewB8HMDBqpqev01ERERERERERH3Fzmey5pw0kl6VMAutptORrbkAnDvva486F3+VG5+IBsWNk020gxfheTtjmmWPnfKMZeNf5bcnCAxVVdhuPouIJ65+c88Hd9xvuvTLjqmbadZpB/kssKom4Y9p1nICbZKNfVe2CvX+LjuPLZnsKixCi0S3mWZQ1RaA/xKRIwE8B8BBAB4MYFcAmwHcDeAiAOep6mx0RURERERERERENBTsfCbLLb1WNmRUnRYTal+2I/sHF92Bf/zp1cHl6mSzUf9UjWmGdnAjPs5UFUGxPGPVeYlDmvVf/nyg2X18/oZzEENlPVWL545YEC4ffHWm+ytFvu3lAquB7bmmJhg0o7iug2ZWFhA7M7sREREREREREdECwc5nsmKdzwU12kyofdlVn3HjGm+1bIyjwD0KVWOadTLNNPe4zrEUKRRnDO5MLOuM+sPNNLMvd1nmVsOJQblBr/Y6ECjjGVlXZ2y8zhx27Dt3mT879hI84gE7tR+755uWamk7WTJZXnqUFjeGVImIiIiIiIiIFqmyTsXr7940wD2hYXM7xHsVTA01r1jWylfPvCWwPIMjw2QzzWLBEomVb9T0bLNGVnYvt3hwTDMtfZ56K3Q+KDsvTDh1PTtBr87zoXHuCuOTZfd2VS2npKNka3WXOeX6e3HMubc5y5dnPLqlR5dMTMT/MbToMWhGREREREREREm+euYt2O8fThz2blAPxfpAZ5stvPILZw90X2i4/CyNmPmWZ9TAX4Ap11i2TzQY7qHvlGcMK2SaSWf+1GyzkiHNooEyBs36b65ZHEOuLIjdCIxp5racViSQesCDd8ODd1+WyxgTcZZpj2mGbEyzknNTRTlIN7DHMc2oDFsHERERERER0SKycu1WXHPnxq6WPeI3N7CzcszEOkF3zDYHvCc0bJrLLCnrmE4/CQQzhlp2G9XLl+0H9Z9UlWfMnv/iqTfhCYed1CnPWOOwNSQ0pllRrnwoS3n2XdM9H9j3bMmbNjSmmUsDR02heOJDd8f5//Bi7L58Knhu6WSaoZBpFpvXrts/f7gZjZMTLM9IcdExzUTk1uxPVdVHB6Z3K7c+IiIiIiIi6t6t923BHeu344V/sM+wd4UWiIM/ewYAYOURhw53R2hoTrr2Hvzv6Tfjp3/53GgH5GyTndKLTcvL0oiplWkWWFGnPGP1mhgzGwI30yyQMRRy8cr1AIBdl01mc2vysWuIIDaqWSy7jO2i/5rOCSFWUtXllj5shMp2qj/BPLRxrECcLZct1h7TrPTclM9M9OedqAjsEVnRoBmAFdm93xRXZNO6bVk8rREREREREfXIK79wNqbnWrjt068qjAniumTl/fiL71yK0z56MHZfPjXAPSSiUfOhH1yO6bkWZpqtaCfNzFxroPtEw9dKzjSrs87A8iXPle0TDV67PGPkMDS8rx2dco012kkg08zyYy6hv6k/moE3aNn7MV+esVjWU1E8bor8sQ+t3QbepZ1rlu1LYP8K5Rm9/XXLM/7NDy/HIY/bF4e95vGBrdJiVxY0W4VwW41NJyIiIiIiogGbzjq2N2ybxZ47L4nO94VTb8K6rTO4fNV6HPzYfQe1e0Q04mKdoAyaLT75Mc16s85Q87JtLqXMI2Nmg+dm64SCH654hlh6AcVgKb9gXc/Onwym9l8o06zsZZdgpll+Hf7y5rGZOdSS3JKOdv328VxFUC9UDtLdx9vXbcM3z13JoBkFRYNmqrqiznQiIiIiIiIavAfsvAT3b53Bqvu3lQbNlkyYIa1Zco2IXLFO0JkmxzRbbNwO7lCWSXu+GtfSh+a1m0kJfDA4MlyTFZlmfqTDzlfnqIXGNOusLzyOGZtF/+WDZva+7IWvyDTT8Pkgl2kWipVqfl7bJkL74m/Pn2fCT40kimgMeweIiIiIiIioe3vuZEot3r9tpnS+qXbQjNkj4+a6uzYFyxTNV6ul2Do9F3wuJUOERl9ozBdrx2z4XHH16o193CMaJreTvOw9Pt/yjMddcgf+/sdXJq2HZ5rBc49LIwsyxIIlfgiinf0TKI0XI8iPaTbRkEiZvtyjpHVT93JZWzXHNOss5/yN0LnDi4gFlrOziOTzGkOB/artcRwzSsWgGRERERER0QImfr2aiKlJ8/OPJdfGy0H/cQpe9cWz8e3zV1bOq6o4/pI7ktf92d/diMcfdhI27ZgNrKvOXtKoUmi0M3w6cq5Ys3lHP3eJhqil2u74Luscr/X2D7Svz5x0I467ZDUzzRYAG2SIHQY/BmEDGaHSePFt5NfjZgO568gHcRJXTl2bq5lpFsoYyx2/Vrg8Y1kYy81OE9hMM/Ncs6oRBC4KYdCMUpWNaRYkIv+S/flDVf19jeUeDeBtAKCq/1p3u0RERERERBRX1bE4NWE6CmaYaTZW1myeBgCsun975bxn37QWH/vxVcnr/tnldwIANm2fxW7LprrbQRppZYGRWICdnY7jSxWYbDQw02yVf6bMM9Ms5bn2pviRNXDuYZloX5cTyzTLnw9sIEMVye3EzyAShINi+QBa2rqpe/lMrvRxCF3+/P7SCi/Ylt2HAnAipr3ZttisKDceuihkgulDlKibpnI4gMMAPK7mco9xliUiIiIiIqIesP0KVf0YSydZnnHcuB1a++62tHL+boMdEliO/ZXjQbV45b81PRce08zvhLzxns344UWrer1rNAQt1XaWT68yvMryjVI64OuMn0a9Z8szxg5DNNOsxmETyX/O+ONSBf9mu+i78JhmqUuHSyeG3vM2ZBr7htIOpKFeplnoaV70QalqZ5oRERERERHR6KnONDNBs9g4RbTwbJ/tBDV2XVb983635b3rAjAdX+x8WugU8XNHLNPM7zR9+efPAgC8+aBH9HLXaAhaCkw2ysvxAfUCFmXrCXXAq2ougMKMosFzAxvt8oyReWMxCJNolnbwGl6mWWyxWDCN+iMXNGvZMc3SXvh2ecaKQGchEy2wfjtNREzQzNun6D4E9pdBM0o1yKTEiew+fKkSERERERERda2qG2OyYX7+bZue6//O0EC4x7LZh55l9kmOP23Fj3NsTLOUTtOn/uvv8K1zbws+d9wld2DFJ07E5sBYeTRcLVVMTFRnmtUJWJSXZyw+OeuVXOOYZoOXL89YMaZZ5OKJsixWnz+mmRtcUSh+culqrPjEiZh2LhSpWveqdduw4hMn4tTr703bCSpwv1e0A1WJx1Tb9/lstcKYZugc+1A8S7WzhnZ5xmwlc1VBs0AbdMfLsy68dV3pemhxGmTQ7JHZ/aYBbpOIiIiIiGhRSB1nItYRTgvPtplOB2IsK8jVbVwt1CXKbuyFze3QjJ07Ym0q5VyzftssDv/ldcHnvn7WrQCAuzfuqN5RGih1Ms16FYcvyzaaC4xJ5F8AwKBZf6kqNm6PB7BtEDU6pllpplkak0HklGf0Fvzvk24AANy/daY9rapdXHPXRgDA8ZesTtwL8rnlD+3rraoIxJ2y58qnmQCYn1lWnbPeHtMs+59dQ+hiIRHgoXssx4GP3DPYBkNBsz85+oKKPaDFaD5Bs6Rzn4jsJCLPA/CRbJkb5rFNIiIiIqJFY8dsE6896lxctXrDsHeFFoCqfsW5lukAZwfk+Ng608k0q7riGkgPrHbm7+45Gg1J40VpPDgSG/+wqqlVbZdNZ3SljmlW5xiWNYfQuHmzLa/dscH01XcvXIUnf+p3uPW+Le1p7jGzmWax931ozEt/HVX8Vaj3wGYfTsaiNQHLp0zBM7eMMdWTC0ppZ1pKiUNtB9k60zbvmCtmmjnlWCU33d20jZpleY3Zw9A5ShV43IN2xfIlE9nnW34eVmekVKVBMxE5TESa7s0+BeBn/nOhG4DNAM4E8Ohs2Z/3759DRERERDQ+rrlzI668YwMO/8W1w94VGmG2A6CqI9t2gFcNnE4Lh5tpNtvHTDN2Oo4f229oOhTDDSPWXKoC76ntjH2Xo6el2i7lWxb8rBOALxt3KJTN2Gwqrrlzo7NPyZuiLpyWlS+8be3W4PM2ThU75vH3cZ3yjPm1+Nuyn29l2Wi+pVN2HFd+fnUrN6aZdu4bCcHL0OF57VHn4qY1WwLPlKzH+YgSmDZg1x27WEjEmc+bZaoxyKJ7tJCltBTxbrHpKbdzAXyhR/tORERERDTWJifM1/WUDBKiqo5se6U2Y2bjIxc0SzpPdHfwX/w/Z+Y6sc2a2JBGXWmmoHMfmy92Tqk6h9TNaKTR0WzByTSLz1fnCJetJ1QueLbVwqu/dI6zvFnBJ392Nf72R1fU2DJ1yz2/2wBJ7DBGyzNq+ueEvwr1/p7OLvpxSwNWfeeZyr5D72BJ6q7lg2bV5Rld9vBUtQH/2WCJx+zejGnWEQvISzsjTQvtZGqSl2tQmsmK51fCZIm5XgjTXq8DsLZi+RaALQBuA3AqgBNVlWcrIiIiIqIEtgxNaMwPIl9VK7GZZmVX/dPCMu1cQR8rpeeqG8twO7uuvnMjnvDQ3bteFw1eUhg1Up5RNZ4l0qtMMxo9qorJbAyrss+KOu//svYSCpr54xTZR9+9YBUA4Mg/eUr6xmnebHnGTSXjnoXUOQ0UM83yz7e/v6iZt6XV4TjbfnfMMNOsW+57UQGce/Na/Pqau5PKM7aXqzpQ2gm8hkp9uhd2ZKGw9oUZscoJJiMtPK6eDaYSVSkNmqnqsQCOdaeJiP1E+ydV/UW/doyIiIiIaLGzHVdz/vgeRAFV2R02+MryjOPD7VueSwiazSeYwWuzx5MJjhUbRkvjnd6VmWZVmQU8B40sU56xOtOs7jpjtjnjMlr+hUJbdszhH064ujc7QwXBMcnUfd7c/80Pr8ADd1uGZz1qr/zykfWqpgdXy2Iw7npaasfTCp+3XDbgsyMwbh6lcb8vtlTxtm9cBADYZWk4nKAAPv36J+IfTrg6l81cRtEJhpnHgXHKsmmm7GJnnbGLChtZplloTDOWZ6RU3bSUs7JbVZYZERERERHNgx1XhJlmlKKqc2qmXd5oADtDA9I5mLMJ54m6wQq2lYUt5XiHrsQHsos1IsvHyzamlYB1S23RaGkpMJEwplm9dcbXs2M2UJ7RuwDgG2ffih9ctKon+0JxKYf7+rs3FaYFg24wgY7UFhRbh6/lZCVVrdsGfDimWfea7vcKN5Aamb8hwFsOegSe8vA9OuePhHK+7Uyz4PNuphnawTAgfm7pjGlWzJhmeUZKVTtopqoHq+qLVPW8fuwQEREREREZdlwRjmlGKapKptlMJL/0FS1c7qFMKc/Yy0PPgNroKztEttvwP399Pd589AWF51ut+PKxdtTuI01uG+y8HDUtVdjqZb06XzRbnXLTafNr6WPqv9grHsowih3ZlltXr0JZ83BDb6Z95kv0xdjvzlunGTTrlvsKv/tbF3ceCHDWx16EF/7BPrn5bcaYGwNNCZ26h79yTLMsGAbEzw1uplkhaMbyjJSILYWIiIiIaETZDoGUsmtEVf2KNhOpKrhGC4d7LFMyUtOv+y/yEwHmsy4aPnv0fn7FXcHn51qt2mOa2ek8xyxcqp0xrHr1Hlcn0JHCz5plSeHhcrPAdl0WCJpFDq0b1Hr8Q3Yr3UbqGFkt1U77rGgWdkyzLdPFEqCUJvYaC4BH7LVT4biGKh+mZh4D1W1JILlMs1jQrF3GUYvB1UmWZ6REpWOaERERERHR8NifebO8yppK+AOjx9hMJDan8eEe8pRMs7p94LnOLGYFLTjziTWY6ozlZRgL0717Wnhaqmg00oISddZZJ2jGTLPBipXEC9k5lGlWEvBKLcVaNaaZ1WppenlGtpu+scfcP27t6XAyjyvWpVpx/N0Si1l9xtXrt+PvjrsSB0SCsWY/JFh+eAnLM1KieQXNRGRnAK8F8EwADwOwG4CJisVUVV88n+0SERERES0G9kciM83G1+3rtuKvvn8Zjn33Qdhrl6XzWlfl1bx2DAh2JC1I59+yDjev2Yx3PHtFe5qb0ZMSXE859GZ8kUCnkp9pxmY08uaTKTTXakXbS1V5xspMM7adkZXL5OnROpst1Aqa+e2WmYuDEXuV3SB5KEsndmTzY1GVH//UMc1UgYmJtKCuGzSba7YwybJ8tVV9hvjHtdEOpnVKKFZd0KXIf+com12cbf7kstX4yWXh+RrtTDMtnD9YnpFSdR00E5EPAfhXALvWWQz8ekRERERElCgrz8ggx9j6wik34Zo7N+GU6+/FnzzjEfNaV1XnBkunLWxv+boZd8oNmllTE4LZuergekoQpaXAhL2Sv2R2tqLxFrpC34qdQzqdpGnbSOwnpwFqKZxMs/IDef4t6/DsR+9VuU5VrdVR7W+WGUODF/usCE2PltSDdsrqVbzXy8c062ipYok02n+Xcct6btw+O+8Lk6jDHk//uNnHuTHKUtbXvi82hFzwVSTpc0OcdXJMM+pWVy1FRP4dwOdgMsuk4tZebF57SkRERES0yHQyzdhhNK5uW7cVAPCwPXea97qq+hVtBxPHhxkf9pgumWhgrlUdNEvpe2ZQdXzMqzyjajRoUpVpVhVsodHVaikmbdCsYt5zb16btk7VwphVkyVRkl9fc3fuMZPtR0igUcSyyNzTQFWHcGr535Z2stLqZJr54+TR/LSPlve+zgXLNH8f4z8fCszaaX6gIaaRBddUi59XDJpRqtotRUSeBOAfs4c3AHgRgOXZYwXwOgC7AHg8gL8DsDp77lgAy1W1qnwjERERERGh0zeR0hlOC9Od67cDqFe6KqayAymxA4MWDnssJycaSZ2CKcGMWNDMb6EMjIy5ssMbHeus9GlaAHLjj1Ucx/XbZhLXWQyS7bnzkuj8Xzvz1sI+Uf+EMndyAa+K1J5oppmmZySXZpo5O9NURad5mukrPnEijjz594Xl8kEzfo/uRuyt545d5mo4Y52VjWnmHm91VxRqi85+iCRmKIsJxGogZ3pqYv7ft2lx6Ca8+v7sfhbAy1X1TFWddmdQ1W2qer2qfg4meHYygHcC+P689paIiIiIaBFpZ5qxNNHY2jHbBDC/TmbbgVDVsWg7ntgBOT7sqWGiIUmdk0nz5GbqPPA7TtmKxpvbUemLZprZ8oz92SUagJaikBUWC5Bv2DabtM6mG4iz26nxvYafWYORciFEaI54eUbnHFIR6fDbXHT7TlsyZfvMBr546k2FeecYNOs7/7B1gmkSzBizcsdb85mGoWCb24xSshLdTLPU8oy8EIh83QTNXgDTXo9T1TuqZlbVLQDeAOAeAK8TkTd0sU0iIiIiokWn7vgwtPDMZB05KWNNVan6wd8uz8gg7Niwx7whktbhmTRPeDqvzV54yg531fE0WSKx8ozlZRsrA/iJ+0CD1TmfZI9hL7QIzz8918IN92zC6TeuqVzvpJfdUScQxs+swavzisfLM2rye70sZuY2FTeoGwqIuNzALC8+607sVYuNQdYIZYypBoJr7jY6z8eaQXtsvMRPjUaWkaYonmv8c5HFJkK+boJmD8vuL4s8XxhZUVW3AvgmTPt/ZxfbJCIiIiJadBgsG38zc1nQrAfHumoVtspnnW0959On4uM/vqrrfaL+sscydYiOlGOf2pnN89PoCwW9rrtrE5qt6jC9GdMs9lxke5p2oUe7AzQxu4QGw81cBarHqFs61cArPn823v3Ni8vX2yqWIG62FPvtvTOWTVWfvBg0Gx3BplCSadaepeKtnnouaKmi0bDrLz+PueO3MtOst+zh8stq5oJhTsaYn0noH+9cjM1bHm7wNbE8o2T/uYFbKzaeYsp5Zv3WGXzs+CuxbWaueidowesmaGZHqL7Tm74tu989stw12f1TutgmEREREdGiw07p8ddqd0r2YF0VP/i7yTS7a+MO/OiSygIjNCS2O8hkmlXPn3LokzNAeH5acG66dzNe9cWz8dnf3Vg5b3EkGOe52JhmFc/TaLPvfTeTx0wPz780MVrfVC10VLcU2GXpJG74t1dit2WTSftF/XH+LesK09z3cNX7OVpaUdPPBanDumoh0yy//jknOJYf00xxzZ0bcf3dm9I2REb0+HXGLnO1xzRDPvhVCK5FNlE2Pl7VPLn9aJiNKIrfjSciK0g5z3zh1Jtw/KWrcdzF/F68GHQTNLNnmClv+vrs/tGR5XbN7vftYptERERE5PntNfdgxSdOxOr126pnpgWpTsm+K+7YgDs3bO/j3lA/9aQ8Y8XztkOAHZDjw/YFNaR8/BArpQPT7V8q66jqRZul/vIP9/1bZwAAl65cH5jbX1ZLyjBGgmY2mzV9F2mE2OPazjTLpsfe67EyZz4zDlW++7HZckqySbgDvr1fTBLqm5vXbMHWmWxs1YT5Q20hWlLPmbdqzLLUMc2ATtCjpZr7vPrZ5XfiMf/0G9y+biuAfNBsrtnCq790Dl75hbOTt0PVChlj7nu5nWmmgUyzzt+K8Hs/P0amm52c0layQo5abNexrMY6341Z7nNx6CZodnN2/1Bv+nUwLfclkeWel92zV4eIiIioB356+WoAwNWrNw55T6hf6sQ2XnfUuXjuEaf1b2eor3qSaVaxjs54Q/PfFo0Gt5M7pQ0lHXoN/pl0dTeNFv94T02aLqDphFJlZeMFRcsztsfA6sxw7V3x7yjMSBst9nA02uUZy8ttph6+lhZLyLZUC13fsQyQJttJ32zcPhOcnr9goruTv3sO6dWYZu68Jhu28+SvrrobAHDjPZsBFDPNqL5onlnkeHXGJuvM4GYHWu5jVc2PVRbYqNuOkjLNxF5MVGw/sQBtVRWGezftwKYdswB48dli0U3Q7BKYdvpUb/rvsvunich73CdE5LUA3gbT9C/vYptERERE5JnKeiBmWKefaMHrxc/vqg5oZpqNn86YZolBs6RMs7T2wWa08CzJvjfMzqUFzWKimWaBcrOHfvGc4nyVW6dhaAfhs07lT/7sGty2dms8aFZjvX5ArKXa7v22T/njnlkc02y48qUaA8/HlquxjTqBuYYTNSs7T+UyzZiu2FP2aBWDYZ2/25ligfKMuaAZ4sE2e2+PpEhanllDBCKm7apqLtC205KJ4DJVTeSZ/3kqTrjMjFTFn96LQzdBs1Oy+5eKiLv8twHYS4i+LiIXisj3ReRCACc42/p6d7tKRERERC7b+TXHqyfHFjulF49eZFyoAttnmrh3047o80CnY/S4i+/ATfdunvd2aXhsu2lIWrArbdyz8EzidVXx9DT6/PPKksn0i20UGh+7LJqBVi8wzzY0WmyQwY4/tmbzND74/cvmfaGFKcUoxWnZ3/Y+FjRjRmL/1H1pQ7OXnSdSy/iWjWnmr6NTPrR83XO5TDNGOboRax+d0qr56Q0nEN4OeqGTvdpe3l+fu83Ace1kmklSppkNrqndvrPQvrstxUdf9geFZepktDYZhF0Uugma/RbA7QDm4JRiVNX7ALwfWZAYwIEA/iS7t63ze6r6o/nsMBEREREZzDQbf70YM2jL9Bym55o92Bvqp/n0CdrOyJYq/uTo8/HM/zw1OJ/t+LQdo3//k6vw0s+d1f2Gaehss7FliKqkJGyUzcPO64XFP1q243AmIdOsVVaeMdJI7NTUZsLmNFraYyQ28tke0UyiGsfZD4i1tNjhzvKMwxUPkJRHKeKZZtoJdlQEOvyLMsrY81irVZERy/KMfWOPVyz4JeJ+HlSMaabh6S77e8gEw6rbisk0Mxn4LdVcUFZEcPBj9y0sU+fiAP70XhxqB81UdYeq7qeqD1bV33nP/QjAIQDOANBEVm4UwE0APqSq75z/LhMREREtTrfctyX3eGrS/ALg1ZPjqxf9RE847CS8+egL5r8i6qsvnXYT1m2Zntc6FMBVJWMc2mAZ+x/Hh+0UnGhIvOfSkRKIz5fi6vwtkg+oMYC2EJljlvK9QTXeWqqCKOlNg21olNj3dLCUYmj+xOPnd1pbnQ5289fERLgznBUVBi8+jl16fcaWW1avItBRmmnmrb/R6GzWts1QsMUNtrINdSf2HneDWC77XvaPt398C4HY3BhnxW3VHdPMzmuXTSn/GbsYJISB/MWhm0yzUqp6lqoeAmBnAA8BsIeqPlZVv9zrbREREREtFj+7/E68+H/OxJm/v689bcmEqcmecsU4LUzzLYl0/1YzwPvlqzb0YG+o19zxNi5btQEf/8nV81pfVXuxT3N8mPHRGedDEgNi6ev0/wbybYytaPQVOh+zxynfGzSwvBUf0ywLzFe0Dnfx6+7ahBvvYZnYUdDJNOtMK2sHqSeBUHlGwO1gN2KZZuyfHjz3PfzHT39Y8rz5J9wUovLtdTOmWSyw/+nf3IDNO2Zz33V4gWFvueUSXbmxyuzngRbHPivEzCLTC9urMaYZshKR/piKseXrBMLqBNho4ep50MxS1VlVvUdVN/VrG0RERESLxeWr1gMAblnTyTazmWYszzi+5vuT7PZ1WwEAU5Grt2m4/IHpd8zOr4xm1e/9uuMN0eiz/TYTjfmNV5Y6DwOuC0zhin0jaUwzjbeFWDPQiuc783U6U1/1xbPx8s+zTOwosMe70PFdcbyrqIYDYv4Uf9wji1kdw3Pkm56MnZZMtB+HjkQ0Kw3IZQiVKYuZ+atvl2fUcObbbWu34nMn38SgWQ/EL5ww98UxzTrT2+UZoYX3tn8+CB1/N+jWCY9KUoDVlnFcvX47ZpuK7c73a5FIZmKN7zdz/C60KNQOmolIS0SaIvLNfuwQERERERXNZGVFpiY7X9+WZGOazc7xi/u4mm8/kR3DwbYVGi3+8a1xoXVkfeUNpuV0QNB4UKeTu1eHNdYXZMcH6Wy73npf8fmz8NmTbux+x2je7DGbd3nGaKYZ8MTDT8LHf3xV2v4kzUWDYj8j/PHH/As8rNQSrS3VXPaaJZK/j45p5p2U1m+dwcq1W5O2TeU08ig/zlR3X07cYEfVKvxMpPJ521uInkPmWq1cu2GQo7c6ZTG9TDNvPER7X1me0VEWmE1tJo1IYKy9/UAYN3KaA1D8zOTFZ4tDN7+eZ7P7M3u5I0RERESLyYlX3Y3H/8tvsW1mLmn+uezL+hInY2jKBs149eQYm9+PMtvR5XeA0Wjwf3TX6TRy2aWq+oTs87xqf3zYQ9kQSerATso0K2lI+fKMNa7KbrZwwz2b8eXTb05ehubPP0b2+M0mjO+jQDQymmsHzt8tVWzeMYeLVt6ftn/e6pstxdUl4zJSf7nnE1csAyP1DNBUDX6+dTquszHNYplm3vaf+m8n4+DPnoEt02nfoal7hXJ4gYNeNv5ZrIxfYTslz/mfbZ3yjPFMNgGYadYDsfd4O2jmTffHKexMryrPWBwLTb370PZiGhJvcbFnyr4f+ZUgmHW/OHQTNLsnu9/Wyx0hIiIiWkw+9MPLsXWmiXVbZpLmtz/23O/oDJqNv/nGNuzA55PMNBtJ/m/u+cY2K8szZhu89Pb12MrOxrHgZoak9OEkjWlWkk1WFXA99fp7ccJlqwvT7964o3rD1JVjz1uJc29eG3wuNqZZSodfrCqf39bcAFzdjyw/qHfkyTfiNV8+B9fexcDZMIQyzVTnn6XT0shFIYXsk/L98s23pDHFua+4e+w27ZjFN8+9LRfIil1AUafV1MncsdlMpvxjOONJJH6eovmz3ycLwS8JB73877fFzLPO36ELgDqZZpKWbVaVaRYqz1gaNMv/1j72vJUJO0EL3WQXy1wB4GEAHtvbXSEiIiJaPGyHVepvRPtjb/tMp4PAjlPFMc3Gl9s8VLV2iRxmmo02v5Oo2xJIsfWVPf+1s26d17ZoeOy5oNlS3L/NXHgxIYK5hC7KpKBZrkRX528BoK3cjAXvPfYSAMDrn/aw3PQ7N2wHACybYgC/1w77xbUAgJVHHFo5b53swJaTJeKaEMmdS9zvIKnl+mKzXZVlmd23eTp5P6l3OmMkijNN45lmic1JVYMXhXSyUsx9LNu6LPuV5qfqGAryQYpP/vQabJ6ewx8+eDc861F7la4jX+KxfDtlh9h/ypbxdM9RzZbilOvv9ZZTTDTMZyUvMOxO2Xh1QGBcQnGmt0uCF8c0K2Se2ftc8MzdXiezrSpr0eyH5OZ7zZMfgl9eeVd7G6H2WHae8QP0LPe5OHTzjfVYmHb6dhHpJuhGRERERJnYOBGx+dyBjO2PiTlePbngzTZb2LxjtjDd/cH4312MBWSDrZMMmo0k9d7+3R6mUAmbkLq/8d0O8Ok5XtE/Kuxh+Y8Tr8fXzjTBz0YDST3YKVfzx2YRyV+JXac58XNqOPxXvU72sjsekavRyK9nOvC9pM42QuZ7AQF1x3YaF8c0q84kqirrGizP6HawI/4ZGMsAYSvpH/+CCWtzlqXuXsQXO/L5TLDy7ZV9NvlPTU445RnLV4vlUxMQAbPre6xdytV709r3uYifaVZRntENlgW25Y5plvLxIN46V+y1U/65wNmjLNMs9B2YgdjxVztopqonAPgZgP0BfEdElvd6p4iIiIgWi9Sa6PZ7vDsGGsclGh/v+/YleOLhvytMdzstvnLGLbXXazuqmWk2mnqVaabO1byp23PHR4xxz0+f/Ok1Xe0b9Z49Kr+55u72tIZIUhBrvvPkx7JKWJm3HINng5Wa+RVcFuFMs4ZILkCSzzSruY1I+Uh+Yg1HuzyjV2KtGbnAyx/PLqbZCn+++R3X0Uwznjb6RivO6WIiDAXu94NejGlm1/f4h+yGXZeW52dMBsozhvZb1dzvsnQSm3cwaNZL9ngVxjTzAuEAAA2VZ6w+y+ey3p31p3w+NLwyjinfr8t+k/vlGc00Xkw27mpnionIIwB8AsBSAG8C8BwROQbA2QDuBLC9ah2quqrudomIiIjGUWp5Bzvf9pkWpueaOOr0W9ipNEZOv/G+4PT59hPZDEVmmo0mv5Ox60wzDa8vNh/QGROxjHt6umzV+m52jfqgpYoJ7xNgoiGJ45XFyqyFSzIWtt1l73U7aMbe74Gab6ZZ6HD5Adoznc+vOuUfQ/PbxykdqtR79ni7n0WqGh0Pyp3aVI12MKoqQh857Q52W54x8iEYO+8wI7G3NPK3G/BqiGkn+Qv3qt/3qZlmJ37o+fj+havwjz+9Orp++/1FVaMBVYFAoRAwaDYfsXN6+/tmYCy59rJq11F8b5eNhRbah3bGItLGNDOb68zoXggQy1Yr+3wMZZXtmG1h12XV+0ILVzflFVcif8Z6OIB/qbG8drldIiIiorFjr2q7a8N2vPzzZ+EnH3gO/uCBuxbmm5mz5RnncOx5K/HFU2/CTksmANTvpKKFw/0Bt2SyfmX1WWaajazPnHQDjjo9nz3YbUexPQdUdYi7V9GmBc0682+d5hW1oyKcDSBJnwUpY8/EukL9IErd8bFo+Oocs1h5RpH88fzECVfnlkldd2j+SD8sDYg9rm4Ht8k0i504nD9Ljr0tz2izf6xOVor5I/ZVJVoekueVnoqdp93340RD0GpqLpBZ9rmSeoTKxj/z4xWdoFn1OU1EsOuyqWAJdOpeLCu4PaaZ853EBM0b3nwlQbLA50P7T0kMlnuZZv65JbSGskyz0IUDzDQbf92OwivOzX+cciMiIiIidDoCTrthDTbvmMM3z70tOJ8tf9RsKbZl4whs55f1sfPp31yP937r4vZjtzNgaRdBs7mmzTTr9ms/9YsfMAO6D5rZ3/nu7/1Lb1+PU6+/15vPCZoltCd3/i0cD2Rk2OPidihNSFrAIjZLtOyi12nVjM1XIXH4TuqxWFAqaVmEe7wbEs9qnG9wlDGQ4bJBqAnvsyg+pllnenl5xixo5k1PLs+YMKYadce/MCL0t3tc7N9um4gdh1iJ1xA3YOG3Aj+Y0R7TLHKOAmx5RvPkLssmsXE7g2ZdicbLs8wv72DtsXzKTIeXaVYyhpn7OBYQs8cydB4JaXhlHPOZbuFstbJM+HCmGX+Hj7tuMr6O7flezIOIfATAn8G8D68G8G5V3THcvSIiIiJKY8eJ2GvnJQCAdVtmgvPNtoNm8Su0aeH72pm35ic4x7hqjIeQ2RYzzRaUrsszZkEUp8G84SvnAQBWHnGoM19nmZSSnW5HFYNmo22iIUnj/sQ6trXkUXuq6rzLM9JgFcsf1lg20h/dkNR2VF+7I3ae66HutMsz5uozxsc0c5VlaaiGSy8WyjNGOsxjY/jyvNJboddTvCCFPUYpr/1//voGfPgl+7fXU8Y9xv6s/rbshWBlmWwC85wIsOuySdyzkd3E3bIlOV32/W7bw147L8FHXvoHePMzHg4gfwxVi+/tsgC6evdQL7MtJdEM/phm4b9dtqpL8LlA0IwXr46/2r+8VfXd/diRbojIQwF8CMABqrpdRI4D8GYA3xrqjhERERElmsvKPeycBUTu31oeNGtpsRAJ+wzGl3ton/WovWovbzPNpibYBbkQdF+eMbuvOBfkMs1SyjMyO2gkxTo2U0qVJZVnrCiz1p6vcmvucjVmpr6pU86upRqcvyESD5rVPM7RTDh+ZA2FPa4TXnnGudiYZs7ksve4Kc+YBU5C56/sPpYUHw3Q8Lwyb/H3bDiIZdtGM1eecf4Hwl2Hn0vkB2SXTNrAXXz/O6U/zZhm67eFf19ROZMlVjzn20Nij9REQ/D2Zz0yv2w700wL329j33djp/72R4MU20dIw5vPz54NbWn7bPzisNlAQG3HLL8kj7txqNMyCWC5iEwC2AnAXUPeHyIiIqJk9oegvcLy/siPutk583xLi78Q2Rk5vtxDXVY2JMZ2dIWu8KbR0+1h6mSflreRVq5Tqhqv4h9NwTHNkpetLrMWO+ot1fyYZjUDMDQEflDK+bvsqno7b2z8vOgQVzWPcyETLns411S84vNn4fxb1tVaH82PvVDC7WBW1WgWmSaeD5oaKc+Y2JEeu4CD33/nzz1uwQsykA8+2O8pKeUZzfo76ymTS+TxxzSLZpopzr91bXB94pSR3XXZFDZsY3nGbpVd0BV/SnIXdPkB8Vh5xvYC7kO47ShcWjG0X/kxzToPJLLfdviDkNCYZsw0G38LOmimqncC+CyAVQDuBrBRVX833L0iIiIiSmd/dDazL+Oxq3ndMc38Obotl0Wjzz3aZaWPYmZbdkwzBs0Wgm6Pku30Kmsi6gU8TrtxTeV6YyWxaLjCmWbzG9MsJZFDtbvzEMCgWa9oJPvLt2nHLN769QuwesN2b/k62wqfUxqS72h/6iP26CyTvvrg/tjPvNvXbcUN92zGYb+4puYaaT7s+7ThZZrNBhqCSPp3lFar2IkNdD7zbPAsVsIv9llU/EZMdfnn+NDf7pcTm2nWymWapa2/TNlFPf7vHLsP1961CR/50ZXB9ZnyjAoRwa7LJjFdcZEAhalqaZDKBlRDQbB26XANlGeMlGv0yzq6+2GfT/mu7JcVjZ17XNtLg2aB8owl89N4WNBBMxHZE8BrAewH4CEAdhaRtwfme5+IXCIil9x3332D3k0iIiKiKNvJYINnsY5Fe0V4INGMnZFjzD20oR9sVWwQlmOaLQzdlme0/Ull5wL/qROvujthvTy3jKLQURFIUgdyUmAtmkWUD5bUaR68tqM3nnj47/DKL5xdOd+JV92N825Zhy+depP3TPqBWL1+G44597bC9IYI7ts8g8N+fg1mm632mKxAepuIZjy2z2WdbdHg2HO+f6FNaEwzQXp5RlXFhEihrJp/eGNfVWIBOZ5X5s/9nA+9nrGMHTeQWZ5plnaQckEz8dtffh1LJk1XdqykvVlJ5y51TOB7Nu4oX+cilZJp5h9mf4liecbweoBie1JnaILUT4SGSK4d5TLNIv+essyx0G+w6TkGzcbdvIJmIvIAEfmEiJwmIneLyA4RKRQBFZFDROStIvKy+Wwv4CUAblPV+1R1FsAJAJ7jz6SqR6vqgap64D777NPjXSAiIiLqXjvTrNW5Gi9kNpdplp+JnQbjyz203ZVnNO2GQbOFIfRDfrbZSiijVn7+ALoLgHFMs9Gk2XFxPwtSM81SxqKKBd8U3Wcf5kqA8UOra1um53DDPZuT5y92PqZvK7adhgCnXH8vjj3/dvz2mnu8wEm9Y1vYv/Z+ZhlPDJoNVDtY6WaaabgKgojkjl/ZsW/ZTJOKbI/iuEPlejGW1mIXK7kbSTRrt418plnZsS/PVLIe+8Bdg9sDQuUZ09qJXWyXZfmg2YpPnIjr795UmP9Znz4VT/u3k5PWvViolpVgjAegivN5jyPhr/zUwEU6gYzVlO0Vg3TFldQtz8gLy8Zf10EzEXkngJUA/gPACwE8EMAShAO/jwfwXQA/FZHdu91mwCoAzxKRncS0+BcDuL6H6yciIiLqKxvUmGvZTLLwF/B20Ey1NNPsxf9zBt7zrYv7sKfUT/6PudXrt+Fff3ldrlOiq0yzimAsjZZ7Nm3HU//1d1i5dmt72kuOPBN/8MnflC6XMqaZbUrv8AZqL8MOgdEUCmo1vA7s6LKRmdxjHRunSFW7DqS6mQIsk9V/KeU2q8Te/25n43yCcmZ+DT62U/1xcKi/2uUZc1kf4THNCiX0qsY0axSX6ZRlRLbdukGzWrNTQOzcbwkkd1xs20gt1fuzy++qDLwAwDMftVdnm968/ufOEx9a3a3slg3cddlU4fmTrr2nch1klB262HPuhTyajWnoP59fT3kDsd97BMWM1ZCGF1xzLx6UyH7XLc8YG1KBxkdXX0FE5H0AvglgF5i2djeA35cs8i0A0wCWAfijbrYZoqoXAvgxgMsAXA3z7zm6V+snIiIi6je/LGPsN6i9ws0tUWG5P3hvuW8rTruheqwiGi1+Jtjf/PAKHHPubbhy9QYA5qrabn6cMWi2sJx78zqs3zaLH158R3va7eu2VS7X7pgomceeJ+pkHe7gIOcjKfg5IWlBzmimmft3SXnGqg7W+HY7f5eVQKL+qjumWUh+zJn8d5LUMabUu7da7U5Wc18384jmxwYt3dddNZzpvtcuS2qVZwwFxOzHkXj36ftbb34qymeXhc/vueBD9mCulfZZcKc3rmKKpZMTucd+ptlTH7Fn5TrMmHvGrsuK5RmZxZqm6i0We++6JaMV1ZleobHMcvca3k50v7zgmru90PiKQP3yjN2O8UoLR+2gmYg8EsAXYYJlqwC8WFUfBuDjsWVUdTOA07OHh3Sxn1GqepiqPk5Vn6Cq71DV6V6un4iIiKif2mOa2aBY5OeJLc/WbBUzzfilfeHzf7x3gqnm8dREo6vjbH/kpXZk0sKk7aB7eYkkAJiaSC1rpDjkf86c/85RT+TKGwaOswD10ohK1p/rOHXngeaDZjU26C7HoNng+E2lF+Xsyjqb62eaeY+9+9TSX9QbofKMQPF75pfe8lTstfNSuGeIsrKrLY11VOcn+Bd1PP2R5cERfreZPzeLKzqmmXOc2uUZ+xixXDaV76p229buy6faAZiyPeiMuSdYOlns+mbV8nRl5+HYU34QrGpMs6pttT8TkPa+j43FV2bbTGG0qbaZUKYZf3+PvW4yzf4apgzjVgCHqOrpFfNbF8G07yd3sU0iIiKisWI7BvwxzULfv1W1/WW9qcUfC7zSduHzx2ewj9QJdMx2URetHYxlGxlr9vCW/X63z01OpP0EZDB+tORLJhaf98cXSllPbnrKPJpvFynnlem5ZnaxR2fmO9dvx81r0sflovrKxqVLXkfkAPudnfkSnqnrLn+infHEnu2BssGJqkyzvXZZUhhHsSyIYjPN/LJq7SyVbLrfsf3/nvrQ8v3lx9S8RUvzemNmWv7vF3/ebvjxjOVTXqaZf6Bt0CzhhCMSPo8wIJ+m6iVOuYhCkVCeMVf2N//b5Rvn3Ia3fePC9nwpnzMi+bON+9XXDwRbZd97Z+eKz/F78vjrJmj2UpjvWt9W1VtrLHdbdv/ILrZJRERENFY6YwLYMc3iwY18CRQtXM3LcYcWPv8Hvf3taI/tksnG/Mozzm/3aMDqdkC1NH7+8OeZSuyETtmDEy5bjS+fdlPS+mh+8kGtcKZZSgditDxjwgFX1O+kfuwnf4v3ffsSuBdpv+lr5+MlR55Vb0XUE70oz9jwAip+NmLNPQpObQaCN9S9S29fj4tX3l85n31/+99J5rwsC4Hkyt8B8Q7k6bkmts00zThChRJu2X2kxNuSQIaQqxeZk4ude9iiWcwO+55s1byAoo5lS/JBM3e/YgEPnzjp1zyPzI8A+JdXH1BvGef8oFocnzIWbKs6Uv55J8Yf0ywWsHeVtePgmGYMmo29boJmj8juz6+5nL2UbNcutklEREQ0VuyPBT/TzO8A+PSvr8f+//Sb9uNmS9vjm7nTQsvS8Mw2W7WOR+xqeruKqYlG4QfbDfdswkW3lXeCtTs12DTGmm0nP7hoVXSe4y9ZDQCY8HsuKtZZ5m+PuxKf/V3Z0NbUK/nyiXZa5/nUjqToPJFMNv/vVmA/qpx6wxpe3DFg8YzC9OMQ6w8s63+u24cYK89ovxuxr7s33vCV8/DGr1Z34dnzjFueUVULncM2cJEvGxte50uPPAvTc61C5oddj8v/LhQqq+din/X8hT5bzPTw/PaYuV9J53t699vFssl40Mzdh/J1mowkE6wNZZrV3MlFyn5mHPzYfYLPxzL23PODohgkK5wL3G06GWrF9aa1t4ZIe99E8huIBV3rBs2aXVQAoYWlm6DZsux+R83ldsvut3axTSIiIqKxYjsG2mOaRTKCvnZWPrG/2dJCXXXbaeAH02g4tkzPYf9/+g2+eOrNycsUMs2y+05JPSl0Wr3i82fjTV8znWCxAF2z/YOVbWOcpXQc/tuvrgPQaRPV62SbGVWxbAB38vRcE0edfjN2eOOHxY5rylhlLS/TuerCgGaNeak//Fe9VqZZpB24n1cK9QKr9Y6zP7dth7adpYxDQ71jPx9y5RlRzCKzWWNVGbAAsOr+bZ3lCh3n0l6fe29NVZYT5nllvtxDOz3bxOuOOjd3QVYssNlM+MxI5beL5Uv88oz5+e15oWyrbvZi6MI0nltqkLLgWHwZKzSmmd+wYtmmhdVKjTHNsr8bfsA+so2y9U7PMdNsMeomaHZfdv/wmss9Kbu/p4ttEhEREY0V2yFhS+7Zq9WqOqpVgdk5P2hmltnudY7ScKzfOgMAOO6SO5KXWepdVWt/nHbGNGuU1s6PNZtOFmLyrtAoqH280heYTjxPsM2MlqoMgIZIrsPnl1fejc+cdCM+f0q+fGbdMc3cdSrqZXZsm5lr/82+pd7qNgjZ6/KMgF+eMXHdsTHXssm2M5JjmvXPV864BT+5dHVuWqc8Y2daaEyzUNZY1QUZhY5ruB3l4THNqo4/zyvz5/7uuG3tVlxxxwb840+vzr3/l0428LA9lwPoHKN+lmcsjGnmZ5olrMO9kCQUe+WpJU3VsS0LcrnfHvzX238cWk142+ljmtmVho513fKM92e/7VxNXqw69roJml0O0/RembqAiEwBeBPMe6ZuWUciIiKisdOIZJr545X5mqqFH4/2B6+fUUDDYQ9PnYtYH73vLsHp7THNJhq4be1W/P7ezcH5Yq2mGclgpPGS0oFgy1ylBteZnTha3GMcvLhCALdS0B7LpwAA1961MWn9d67fnrQTdcozbp3utLWyoD/VF7rq3RV7teuVZ0zINPNmqdt5HlvebpvJIL1lv2Nun2niv357A/7u+Cvzz9vyjLlMMy2UIbNP585LFZXK/BJp7nqshte7vaQi04wXd8yf+z4PjyVoytwd865nmOca+fLyQO+/Yy6byh9397dRaGy8oOxCEoEEs6RSxkUjo+yVakQC3s6QcsFMM3+cOfcYlb2vRdIuGjGnG7PO2abm1h8r2Vm21rVbpgvTmGk2/roJmv08u3+xiLwscZkjADwk+/uELrZJRERENFb8H532arWq3wHNlhbmsd/Zt88waDYKbKdknc4+P1jql2dckgU8Xva5s8LbrCjPeOnt67HiEyfi5jXhoBstbCmlFHdeOgkgfJ5Q1UIbYl/AaMllfAVjZvkTzk5Zeavb123LTY9dmPGaL5/jbCu2D14Zx4o2smXaZJpNNITlPntsejZtLBX/fd2LTDM/aJYbE6lueUZ//7J7Zpr1x+Yd5j15y31bgs/b4+G/7oVMMyALSnRUvcdDR9Ivz+gf7smJqkwznlfmy30J7XFuNKQQYLdHwraN3Gs/z8NQGNPMzzQLZDpWbbdd8lOKARo7ndLFXq5YaVVxzg+KYkA8Xno1Xxo29GzK99OGCK6+c0P0+fTMNmPtlunceXGyIbwYaBHoJmj2HQArYdrYj0XkrbEZReShIvJtAB+Gae+Xq+qvutgmERER0VixX7y3Zp2K7UyzyvKMWpjHdoLumGPQbBS0M81qXMUaG+S8FenAKmwzt/3OI7+D/PJVG5L3iYan7s/wlPltECWUaXboF8/B/v/0m9y00Lloeq6Jlxx5Js65aW3NPaT5yo8bVXzev/ra/uV36qS0FY0ExlTTg6mq2v5822lqghkhPZY6NqGvzlKxrLSysYBS129335/ftj2OadYfG7fPAsifF1q5v819wwuMzjX97yiSlb9zlq0Kmkmgo9rrcfe/61R997ln4w5eMDZPoUyzhsSrJtj3pNsmep2ZvnSykdtuoTxj4mmhU56R55F+8Uustqc7f6sWyzP6AXF38bLWJJJWnrEhwMq1zniK3jrqWrdlBvvssrT9eKJRHGuaxk/toJmqzsKUWtwGYGcA3xGR1QA+aecRkf8TkQtggmtvg2mfmwC8pQf7TERERLTg2a/rK9dtBdD50TqbUJ7Rn8UuyyveRoM9CnV+o8c6m+zkqo7D2A9I/wcdW8h4qirrCgA7L4lnml1396ZiWwmsctW6bbh5zRYc9otruttR6olQB6UAwawP/9SRkpkRm6NVyEiMr0sV2JqNabZ8yQQzQnqs+zHN0peLnVZymWaF9dfdn/DjOafznnpnpmmiYm4QYv22zlg97Qt1JH+Mi2Oahc4tnb+bLcV5t+QvrmhIsUxeKDvFVVWe8d3fuhhv+foFpfNQOfe4zWbtw32Puxlb7n0/z+kikmuDsWoM5evozBv6Cs2AfDoRKQlUZtmiwTHCzHFTFF9vP9PMb2dlW0sJ0ooAG5xzm7veWJsoW+/22SZ2XtrJgDSZZmkZ37RwdZNpBlW9BMBLAdwJ094eAuBp6HxneheAZwCYyJ6/HcDBqnpTYWVEREREi5D9/XfbWhM0sx0S9gdrTLNlfqg+au+dnWnZjxL2SY6ETmd18RdZs6X44UWrMOcdZ/93l81S00AHVkisdFshmMI2MtLcTh4gPRCeMtdjsnHznv3ovdLWGTih2CndXKVL85Mf0yyb5jwvgkJWWNV6qrb1lTNuyY2dZUrxpa2rpdoeZ3PpVKPrzCgKq5vRVXe50LKW/3lUOd5eaN3R6fmLgNix3Vv2dXU/W+7f6gbNzL1fgrPZamHSC6QI8sfeXedRp9+Mt379Qpx3sxM4CwTa7GdJpzxjfobJiqAZAFxxx4bKeSjO/awvf99J7rk6pXqrVAW1iplm1eeFz59yU/vzK5RpxoB8mqoLLezrWHxv58/zhTHN/AOQG9Ms/rvW/64TIyLYWpKFGqwGUrLeZksx2eicjxrMNFsUugqaAYCqng/gAAAfBXAFTPMS73YdgI8DeLyqXjnfnSUiIiIaH+aL9qYd+VI5pnOi7Op9c6W/36FBo6NTnrHoexfejk+ccDWOPf/23PRCR2P7Sl5z7/xOw8xcC5uzduNvE8j/5vM7GpjtMdr8TgU3iD4918SKT5yIb5x9a3HBhMP68AfsBAB47/P2S9qX0GnIL9FFg5MPjBePQ0PyY9B0Apz+etK2BgD/9dsbClND2whpqmJmzswx2Wjwc6rHKl/PaNS01laCU/PfP6ozVK0ds0385uq7c59f/pX9nUwzc+5j0Ky37Ovqfs9c5wTN7PHMv+6KuVb+e6dkWWOx89Kt2Zhp92za0Vkm0E3dyS4xf/lDmFVdMETz575nZ7PPeP9Yh7gBg/me3kMBDHez7vcREWkHaqoyjtZvmylkrbnroTSmtGr49eoEvotZpO0yvFr8LjIVGa+w6qiklr4XACv22snZTwT/doVa047ZJn5/72aogmOaLUJdB80AQFW3qOqRqvo0AA8A8EQAzwPwFAD7qOoTVPUzqrqtbD1EREREi437QwLId0aXZZs1W4pWK9+h0Sq5Io+GIR41s1d0b3RKhgCBMc286e4PtXd98yI88fDfxbceuGrY2zMaotvWbsV/e8EIq9MRZLhZPpt3mFJ3/3vGLYXlUoOhSyYbyR1FocCMbU/sahq8YKZZriMx37HYznj1jlZKeb54lpomf86odj7LGpJWQpTSdTuGUJ3lYpWn/AyBfCA1vv5jz1uJD3zvMhx/yWp34c6f2ll6LtB5T/Nnz+GtuplmTQ1mmrn8wIZdtjMtMO6RtxI/SNpoMCOo3/JjmmWZWYFxo+yh6WQBlV/IMV+5Ma4K35HrNYrQ9x47ac2mHfj5FXfW3r/FourIppRVNGOaeVmkjXB5xvy2i1v3x2+NaYjgmHc9I/p8WTlJ10ePvxIv+9xZmGm2coG+iUaDmWaLwLyCZi5V3aSq16rqeap6laqu69W6iYiIiEadqtbqFPQDXal10c2YZhocILvXA3FTd8rGIWv/HvOeizUdO9ld13m3FL9mu7/z/vir57f/5lWQo+dPj7koGPgCih077jmlLINRgVyHZkjd80Mw0yxynlrxiRNx8nX31lo/1VMd/vY6OaOBL/9xccbr7t6E/zjxusrlq8oz2vYy2WhEz3HUX7FMrm6WtRremGapbWLjdpNhti0b684u7y7bHt81C5oxGaS3bCevm4W+bst0+2873a2KqNly+eyj7DnnALrfN8RZ1mpIYAwz/9474DsvmWS2YZ+552bbPvzxn1x2dvfrwLxP7xXlGQtjmgXaX5lQ8N1Oee+xl+BvfnhFbvwryit7B9pj4b9P3UxURTH4XRjTzHv+K2fcgktWrg9uM+X7hAiw1y5LO4+df0Uo69Xup8/dh0KmGasvjL2eBc2IiIiIFrNP/uwaPOoff508v/81271arbw8o/mxkM806zxHw2ePR+mPzMIysQ6BUKmkIrdz0x3fo5BpxjYydJu80pqulCvqw1fHJpQx03oZYqFgStlVtT+6+I4aa6f5CB0Gc/iLGT9+s0jJSvyXn1+Lr599W2C7mh/HpqSrtKXAbFaesdEQlobtgdx7suLljD1dK2gWmTdXVcubpyxTvnPNSLi8tBvIsQFXZpr1lv1O4J7Ltznj/sS+czRbmhtfTCCFsYVy3ze87zB2GV+7tFu7473z3NHveDpW7L1zLkhLvZfPNOtkePrn904FhOJy/Ti9u0c99tUj5XNFJFzm07a9tVnQuGz8q8WsfcFW5G3oj8Xbnu4si8B3VL88oz0/2Nn+67c3YNX9xaJ1Zqy0tEyz0s+PyHdp39KpznnPPQdOcEyzRYFBMyIiIqIuNFuKOadz6HsXrqq1fKc8o7bXZ5X9CLxt7Vaccv29WO9cEWmvwORX99ESDG5E5o0dc3slb1XHYazJ+OtlNuLw7ZiNd8zYToV2+SPnufIAhaJR8ctOUS9rI7S1OWZ/DI3b+Rw6XzSbirVbZnD0WSaL0Z47YlkCnfXW2Yf0z5mWKmaaNtOMQbNecL8ndPtq1lnOHxPTKpRn1M454V3fvDi+bafzNbTqltPA7LmGWUa9ZV9XN3NnLvD90x+3bq7VKmSaCfKBlVkn9Sg2RpV/OP253OP9ssc/CIAZx5X6R7XYFkJZhc4CAPKBrH6c3UNl6AHTZuxzJTH6zvyBdueuf9nUBABgO4NmUWVlvaUsapZRoBD89j9H8uU4S/bFz6qP7lc+WJoyplnI0kknaOZmmk1IcpUYWrgm57OwiDwIwIsBHABgTwDLEhZTVX3vfLZLRERENGyv/MJZ+P29W7DyiEO7Wr7ldYrnOy2ql797Y2dw9U6pR3ZKjoJ2hkfJZYyF7I/I7y67rrKOw7s3bseuy6aCzzHTbPTsmI3/yPavhg5nlgTKfgaWLcyjWmsckGBghlfVDk0ugKrFqVuzkndHnX4L3veCRwezevLLFtebsg/J5RmdC0smGDTriVbia1/2fJ3vCbH3u/t5pNl/EyKYq1h3ZywkZ5qbHekEZW3GGmNmvWWPqXts3aCU/S6SP8Ym2DblX7zjBT9nA8Etzc+OwudXu7/d/FF18Qf1nvs2b49bGhzTLLuoJ3usqR8GCUJv87Igil+NIcY+HSzPmE2yQREGzcKqLrbzS6zmlnUuEK0qz9hZX/lJ32SaVROR6PlEItsJrXfJZD67zP2bmWbjr6ugmYjsAeDzAN4KYKKLVTBoRkRERAva7+/dEpzeamlaKRmvvEnuCvKaPz7b5RlrLUX90s7wKMk083+sFcozwmYcmceR35YAgGd/+jRcffjLgs8Vgmbx1dAo8NqMe7y2TJugSGzw8gmp7m1M7YD+xZV3YflU8WeeLZlWJ/hGveGeIsoCUH5nYjFJoPuzgFlUvcdhLe2MS2WCZl1vljKppTHL1Mo0ixy0sg7olG2bNlgMoDVb2m6f7YwXRs16oiHmPWnP4c1cppkTNAtmmpn5J5xyaibTLN+e3A7k9mFzZhCRQKaZX56Rx3vQ3PNK+0KHkqyc9ljMufNR77kXfBS/I4en+xTmYqGyMc2WZt913LEWKa/sXWmPU2FMM2cpDTzvj8PrPir7fItlKgPmvNUO/KL88yP2Xdq3dLLzXdgN9E0626LxVTtoJiLLAZwG4MmoVxbfYqsiIiKisdVSRSPhK1Kn88jc1800c38YtMsz8lvWSOiMJRS4ijE7RlXjDNnnbVuoKs8Yy1QrlNdiIxlp9jh3rs7tPPfGr54PoORq3orTTp1D/6EfXB6cXtZBwL7OPku8qN92TLUPVUkg1qwrofG0l9Xk4JdbnnFCTKbZ1IS0A2nWcRffgSc9fHc87kG7pa14EctfXJO2zHw+AqKZZl5AxZRn9EMoRa12lpOzP+7z2mlfs02OadZLk40GZpqtTqaZ0xDc92QsM2eupZhsFMc0u/DW+531uOUZs/U5R9gG2lz+5waDZoPnvs3d8oz+u9k/pv2OF7hN0N9Wuzxjwj7EyjPaacuyTKJtzDQLqhzTDOHnTXCr8/vUv6B0pyUThfnLttPZXvyzZkIETWc813yZUTcSHPkuHZi2ZCJcnnGi0WCm2SLQTfLz3wB4Svb3BgD/AVOi8XEA9ku4PWo+O0xEREQ0yup0KAKdL+jNwJW+ZdwfAp35+eV9FLR/YIaea5duzPPbjZ8tUtWRtDVyhaw/3gN/3402/zi7HY7rtppxDNdsnsZrv3xObr6mauGqXV96aCTOD3jQ4Phl7GLy13YXtbyTQJ0jagMkoX0qbEe1My5Vw2w3FAD5+59chVd8/uwae7F4xcYYC4lnFKavI9Yh6F69b+dIiW3Z1eUy5nJj9XXaVGf8RAZResHGu+bagUs3aFb8/ul+Fm3cPotNO2aDY5q53M+HzneYzvM20Obyjy6DpIOXG9MsMJagf5w1+D6u3k55tlJoWjjTzA2CJZdnDGzA/rvsmGax79FUHsiKZYn6mWP+W/s5j9kbe+w05cyfvxijbHv2J/N7nrtf7jm/HGPtz4/AdpdOOUEzJwWTmWaLQzdBszdm9+sAPE1V/1lVT1fV36vq7Sm3Hu4/ERHR0M2mjEJMi0bquC1+Jkkzl2kW6ahyfnFMNQSfPPQPzbKBcUJo+MKlP8LPxY55p0Oy/IefLd3nK3SQs5GMNL9T4Zyb1gbnu3L1xvbfqgrV6s7GTjZI9zrjncxrNdSFqmBVO7HMjjsTCd7P5wygqsnBu1bLGZcKpjzjZKPBtjMP7vk89TjOJ9PM//yw/HONIi1DyH7OtbJzlk+d6TzX9JbNErNBkVYgUGKmm3v/GN9w9+bchRmh4zKXyzTLzkPO86FAWye7RKLrTbFpx2x3C1KuLcy2Ohme/vdFvwKC+3xKudiyOUIln90mWNwXm1FdvV1BeUnZZVPMNCtT9QqXnfsVwI33bMaO2VZhvqkJwV8e/OjOhORMs85xf+yDdsk9N1ES7JXc3xKuBhL417qZZhON/Phm7AMaf90EzfaHaftHqerK3u4OERHRwnLDPZuw/z/9BqfdcO+wd4VGRHLQrFOgEYAXNIt8B/cHIP6z5z8Kf/TkhwQ7n972jQvaf1++aj3+/VfXMWAyILYN2NIkn/7N9bj+7k0Aih3b7WW8zkn7Yy80vkjIV8+4JTh9zmtMbAGjLt/R+LfHXVm5hG06ZR0Xf3fclTjm3NvmnWlWJ9OFest95csubvY7Nv1zzXyCKKr1sqlth5Ipu6cQybdTfibVkzr26b/96joc/svrgs/VecVj7/f8MTQrTQma2c+j/NhszvZaTtAsMiYfdcd+hbDHwA2UzTZb2DI9h63Tc53vHN7x3D7bzGeaBbLGZgNjmrlNKPQ1xu/Y7rY844H/dkpXy5FXnjGQadYOZrTH2s0Cr26Z1b6cyjv7EItNxH4vWfZioVCAxP4b25lmkYvPFqtr79qI6+7alD0Kv4bmmezezzQT8/q//PNnASi+tyf8tLBEIs5vKfjrjAf2c01aSkqde5Y64/u6Fw40hBerLgbdtVIj/C2MiIhoEbn1vq0AgO9feMeQ94RGRXqHorkPj2lmM8fyKwuVFzGDu2fzO9PPvXld++//97/n4Rvn3MbSfANiD1tDBJun5/C1M2/Fm752fu45X6w8Y0pABABOuPzOpPXSaOumv9C+/8vKM/7kstXd7lKOm0nAgMdg5a7qL8kutq0gduV/sxBITz+OivTjboJmnf3ULLAy4QdcKFkz1wbi8/3fObd15vOOby/GNJsI9CKlnLvs6SPXAe5swt0cM816azI7aO2xcNtlGE1ZxSccdhKe+m8nd6Z7x3jTjtlCplkhaDbXyj0P+GOaSSFw1s40yx53W55xhhkfXctlmmWvYyMwppkv9XyUIvQ+z49pVtxAQ6ov5LHtrzTTbNIERVbdvy1xbxeHQ794Dl71xbOrj633Hu5MlsKYhq7JhuSCXvlyjuUbbO+Tt858YL9c6mfL0snwmGYiUuv7Ey1M3QTNVmb3u5TNREREtBjstfMSAMDKdVuHvCc0KpLrm2ez2R+CofKM/g+VUKd4Qzo11at+2LCTezDc33L+cHPtMc1SyzO2M8262xe/PbIJjLZujk+nkzOhB6BilqpzhJudwAHQhyf40rczy7KH9rE326Yd3V9NXydLbfX67TjmXBO8aami2TJjmkhFRyjF9eLlqtPJFw+aOYHP7L+U1dqAbaysm2YZif48NH/2wpvOmGZm+rKpiXagZGau1c56L5Tg1E7gDTDnFT/LI5/Zni8T254ayEbJ3Sf/i6hX3GNkL3Rwhm5yMony8+ffx71XlZUsUiwhGSKIjGmWTbLfnb557squ9nMczczlg9CxzCygcx4ojieWf+xf/OeOD2bml9z6YkymWTgTuTTTLBKgc4Wa0+7LO+Ou+edAfkyNv25+fp8A0z4O7u2uEBERLTy2P2H91pnh7giNjNSOHvuF387tdka3f5B6y0w4PzDsc42GBH/AhrCPezDaxyFfQyR70j4sL5nmT+/26utC0KyrtdCg1Rt3yNyXZZpZdo4b//0Vweergv6zTqcoB0AfrKp3sv1MsR1TbplY18bt+bF/arU1byyqsgDM+797aW65liomGpI7lzHwWk/oPVc3uNSLTDO/PKNq/twQM+dkOYXW3NLO/rEUbG/Zz4dmO2hmjteyqYlcsKs9plkgyDDhZVkUMs2c77GdTDMUpiE3rdCzTQPmlge3baEhEv9ean+/KHD7uq24ec3mvgS58xdY5J5p/z/1IyTY9tjYou7dtMN5VP4i29NC6PUsK8/qj3GayzQraU/i7JJ//qhT3jW4v4F/qzuXn23Lj6nx103Q7EsA7gLwZhE5sMf7Q0REtKB0OqX4xXuxs00gtSPZL88YyjTzr8KPlWdsZ5pVbpPf7gehPZYQildDtmNo3qH02409p3RKVPUoaMY2MHbqZJpVXclbFcTYNt1sr4cBj8Fy37qhlz6WWeYf6w3bur/IR5H+ObJ9ptn+u6lmn015NgbNupUf0yx/H+M/X+d7QEqmmeVe+FO1vmZkLKSmavsz087Dju3esMesk2lm7pdONnLBrrLPE7/D2DfrHNj2084BDnVo+1lMKcebP7l6y33ntsc08wKkufmdwPYLP3MGXnLkWfPeh9AhddtL6LwlUn0+UzUrLyvPSEX+Z7Mg/nq1v1f68W/Jt61CplnsO2vFcTFlEcOz5o9zOKvVriO0nVBzcl8Kf1xHlmccf7WDZqq6DsBrAawHcJKIvFXYU0hERIuU/dHZZRIIjRHbBJKrM3oliEJX+vpf3nM/BpwMpFg5x+I20/aN5qt4XiiUJPKWiP3wt9NDAdMUvFp/fNlzR7OLNhKb9RdX3oXTb1gTXe4/fn19YfvW6vXbsWO26S9CPZIvYxd43rvy2k14dW3wMs3q7YSXaVZyenE7xFQVqll5RmeeZkKghTrczwk/W70fYkHNXKZZdksJgOYyzQLfW1qtTvtqtS8GYhvpBfv9sZkFtuxbzy3PCDjZ7VWZZih+r5mryjRDuGPdPBfueA+pk01C1dzzih0bzhz/8HvPTm0lfhZY8zlqodOLiODyVRuSthu+6JDtKKbOxRXx0qr5bEU/EO8HMt3DUbZ1UxbRXlCYf849pmVJrKExGWPbdV+LKa9uKX9ijb/JuguIyDHZn9cAOATAdwAcKSKXAFgLoCovX1X1vXW3S0RENIpi5Y9o8ZGsTkNqJk87MJY9dq/o9gdqt8JXSpoxzT796+uxYu+dK7bJb/eD4HZeF8cAigXH8o87QdgsINJlZL5VyDTrajU0YCkdxarZlbzZr6+UNlI1bszf//iqpP0Ldaddf/cmfPiHV+Cr73h60jqoplymWbF9+N9HYuf7jdu6L89oAySBXSpw22NnTLN8SbeUkn7UEco0q6tuOc6Q4nhXaSu1QdJ88C+/b+3vRO2M+7R9pXKTXqZZy8k0m+sq06z4vPt+tkEwt2mEOqr9zLKUbzoNAXh5Rn/MZUGzhhcgBdwxzfIX/fVCqD25Y2QFxzRLWG87I6k0QMKTjC83Xp39TRN5xTvtIx4EA4oXGE95gzWnjmvoZrCVjZPWza8mt5ntmG3i1OvX5F6LiYY3plkX26CFpXbQDMC70Gkb9n4fAK+ssQ4GzYiIaCy0O6lYPmbRsz/ia2f2ZLPP5TrD0q7uBsyX9nVbZ/C1s26t3BSDZoPhHhv/B3ss+8M/Nn65z26viPXbI9vA+PA7l5OCZva+B1d6aCDecfL19857vRTmvnND72O/Eyn2VvezAetk8qjmt/25k3+PY99zUHDeSadDrNUywQ8TNOu0vVxZ4pYmlRhdzELBpqqOa//ZOsc7qTxjjc+UucAFQe7+N51MxnbZaX5k9YR9b9nX1R6LpVMT7ewiwBnTLPBe9DuM/Tlm5wKZZs4BlOw/V7uj3LsvI+yu7qlQ6d9GSRZNJ9PMPR/N73iEDnsj8llRp62oajb+XnFmliuPK1zIV/Jalx+Pzor83zGNRv67aO7cUHJoBNIpg+9t080oLAvihc5f/ob//cTr8N0LVuFxD9q1Pc3NNHMvWqPx1c2YZkCnjXVzIyIiGhvtMRf68An37m9ehC+eelPvV0x9Yb/sp1wV7f5Qsz8682Oa5Z+zQp0YdYIpvKh/MOwV3O54C/YodQJq+eNWCJpl902nA6MbfvkzdhGMujoBjHwHdFqmmZmnFx9ZoU6y1DEdqb7cKUJzd9nz4Uyzwng089iHlpsKBODM398Xndcfj8Z0XubPZbO5znq2nSrBsexqrqPOyxx7P4fKMz5//71x0H4PKF3f/2fvu+MlOaqrT/XMC5ul1a5yRhLKAgkkkgKILBFMNGD82SYZ24BNMiIJMEEGk4zJwZhgTI4CJJCEEMoJ5Syt8mpX2hzeezPT9f3RXd1V1bdC9/TMm1Bnf29npru6qrqqurrq3nvuzdc7NjdY6pooCLbrQYFplrbrdDPK2EXyccqdnR7TTE/SjosxzeTeo5lm+qc/YzqgHlBPmN5vyadqkBEbYhMKLJhodFUvuZupqchn/8O5e70TppgiVMMGe9qciaaCadfq5/U5xts9I5PXO3Z2mw0u47EHN8wAANZLcWBDTLPxQxWm2X611yIgICAgIGBIkbkx6cEO7rxb1uK8W9bizScfWHveAfUhs45n+W/nNVKSjC0SJ/FeYsmS3xbTzOTP3V5uWNz3Azm7jBUE10ammWHciONVGRg60ywMgcFGWVd5QD5Gyrjw7PaVxSxW6L64YtU6nHXDarznlEO7y2hMIAtnSOWJdixX0KvQ3wPl3TPSF7zg8xfir47bO/s92ZDfV0m5EWNG9kCH80rCiXGC6p6xGhOrDqVZw2B6/arj9sZld60z5tcmFGG64ld3Tx3eWfVAPHeifcXn9EQD2yX2qeibiOhjXWBcYJopMc2KjFfGitdUEXqHWFQ1w/CQ6UczRahQfhueY4FuicO64YUOn+zD9FENupElAzM+m/KeR7mGae2vM82I+UDk49qvmhR1TY0Nq+WsVIUqm4rBJr8Hm4ENP3YovS7lnN/di4oEBAQEBAQMI2RGScB4osM5IrBsc+ijmKJ8xXdijolGhNl2nAuLtOuotXqZoReUZv2BzC7TN3YmgbPeNWLz+afbH1auL4t2YP4MJcrFHUo+KWaAjsyavw73jF1e/5IvXQwAePdzD6mlPqMOeUzo84jMas0EjSYFvUG55lsH09i85t4NuObeDdnvRkMVeHIIpkl+XHVLXKIiY4ots+3sO88+XTQA608rZKH4m552AD537u0AgFsf2pLnZxkThfxSSawpNlvM83P3rd+e1jcMjDogZMnimcvcMzYjzLVzCbkgnVHvE8W9GSu+R2TmqIDCWLJVsAQLOsit6wXJNFMYQjRbWd3LFHMppdwktSdyfQilmUf+ccpwpiCyDO+eIsq43hRJ9efSFa9QHx/KGsdSZKKMo+UvkcaG1a9zQS5WzIHyOkV2O12H8VjA4KOqe8aAgICAgIAA5MKnIO8bXwgBTyn3jMr3XIAxmS7GM9cnFveMJss+G4L+pP8wsTpKu0yrMMe0OrEiDEvKSUp6YMN2bJ5pIY45fnHNA14MyYDBQqZwz5gB/XNrJbvH6RZBsVseVoFS+pmzXPVrixf79iUH936PTEgW3yJWFdPq05aYKcG1pxubtrey71UfvzLPrdwnzz9q9+z7Axu2q3kCxrhBMkR/q12tjgF9GIRhUS+EK8Y49W7QiFRWh82Dhs5m1lPMSusNMqYZK+abuf7TD1gQmGb9ACeMudIz2R5FTl1E192kKdSzfLVPaxbc7PIzKOTNoPre1N62+O7686/kGekuGXODQ5uRJ2NMMkjU2Wtqnc2gmXNyfTNDA2mdoruoDSNo9BGUZgEBAQEBAV2gY1koBowH2hrb0EfwR/mK78QcE81IOa/vGZQ4IhUUtiE2SJ+QWV2ag1W7XKbpqCIk2jzTLhwTxTzpjHPxvM/9Cd+97B68+XtX47uX3VM6/4DewvW8CgFD5p6xz4LEumYTip0QUIStvZl0XiOaFVBgmvGicFTHS4/ZE1PNCOD+gsam5p6Ro+iOSY6BFJjQbmyUlGYf/fVNmG133PFmtP4q08ptxd1efvzhLbN5fhKz2jUDUXHKVKYZ78p9aIAZGasm/d3hHI2IFdgSuXvGYm/K6xAqPtmM5OaR2hdFhOS90v4pbLlqBfWMJQxSg+GFWHuo9OcCqroVF5CZrqR7xpLMocK5MLcYUSmmGcHsUpmmagJ9zerLNIuYucxFk2ZnenLSZCoilHxKOcl5eY3a1GOahUE08uhaacYYm2SMncAYewNj7F2MsffXUbGAgICAgIBhQBZvKGzgxhY50yyBzwKa2me24xgTqZCREiwBdMyiMgKHYLHdH8iKspzBlfSTUQihW3XC/tsHgpVgmp9WPbINazcnws+HN8/SiQLmDS4FvM5IlZUUrmu6RSIsqCevVjtMTD4wxYESyOcdMdckv9sdjj/d9rCUrqhEcfWAYIjEHgo2ATm2SKYM0Zgm8hjXY6gEFCEzzc69eQ1+cMV95TMp8bipYyXvN1kwyYFssLmE2MLIqGMYR5wX573ABqkX2XsjTpVmYEoLt2OerUV1qEqzYprtc53CMRkUWyVjmumMMwsC06xeuJ6xnNmlvltkDwVUDmUMeaiUKgOSuMYjf+5wz3jaT67D+beuVY4vWzDhzHfUoa8TWPZfESZXiQx2t9K6EY2yd7IsNBqMKaw0GUulvnPtj2mmmVQOEdOsobtntJYQMAqorDRjjE0zxj4K4CEA5wH4AoCPADidSPvvjLFbGWPnVK5pQEBAQEDAACJ3fxQ2cOOKTGnG/N0zCsguzkRMMzkPfc+gumcsr7ANlvz9gezeSG9yVYUmH9c2qDVMKZtmEgGrLAAIVpHDA1+3hSKZjyCxzjmgLmH2XGCaeYFig3BpDSIzfoC8r29evRl/9fVLcdU96zNWmY/LRh2CkeI7h0xoMc2Q6MyUd1ZLYjKF95MbG7er7OF2Jy6tvC7z3MrCQnnMfOGvjs7z48I9o1tIKfpYnto2SIrAwDTrHTKmWfqlHXM0GFPWoUDCqpAV3jIkeXHa02p/b5eZZporP5Ha5OLR5j3hs3/5GOV3MFSsF0ammSO9a4nS7TpWNqSgY5q583DNH9+77B6s3jSjXRMmHZfrTQXi2dVjmFmYZMl5vUw/dlsjktwzapksXSAxzQrMN2Y6RUKsqeW1uI0dFzCaqKQ0Y4ztAuByAP8KYBlyNr5p7P0IwAEATmKMHVulzICAgICAgEFErjCZ54oEzBv0MVDGPWNDUqq0Y47JpohpxpV0ApRQvMzYCzFj+gM5lpB3TLNC1+ibz/L1EK68ZKWZPgQygVX57AN6ALkfXEoE2bUroLqNMaHOKcBUvXZJJVhwz1geetPLFt0m94yPbJnL0siCH5twtFAGka8JE5KEPY4TZY0e90phmgXpkxObZ1qFYy4lWMFwo0Qzy/0jrz92W7qgkFZXiFLIYprFPFvnnPaT65TyCkyzMC5qhWjNTswRRUyJDwQkimw/pllxXSIzzcRYUJ5rxtDQFHJFdkqx7D13VMcb5XUhoDqoJ0yZVzQ2YGa0IaWhlVolmGZEWirWnnKNR762+dGlFBxn6P1p60tbfHcbQz7S42BaWGkykjiMeZm/etNTsHgqUZYtU5hmKvzGi1o/GxhjYe80BiitNGPJqP45gMOQjLsLALwBwIdM13DOLwdwR/rzueWrGRAQEBAQMJjIg98GjCt094w+gj+RJJIW3J0Ox6TONNOuU5hmBuWLT7kBvQUnvueCbFrR7uqaKu6INqWshKUK00xNExT+gwnOuZNpJsaSLQaNjroUE3ocHBnfv+LeUnkFpZkfnHFF9FmkoLDnCgtWutCZN0MuXPcdQur7KmW4QZ1zZAVrJ7ygnNDnBN39lQ/KJJf7RJldCkzF9LBjChLrJdM8FPOiYj/mwK+ufQAX3LaWvCbAD6JZY00RyqCOiVYnzgy4dERaPB/xa6LB8OzDdtWYZkwpNymvaNyhr2EZAyYbEf7uyftZ0oSFS92YbETYcaG6VjTNLbnitXhMhtzVK5dMWcunutTknlGk9WLXx+bxYlLIBwMOjWlmYJJl50GsK7JzZujKb1mmYlv+JvNQnvbwPZbhwF0WAwCWTktKM8v4YCnLtlBfqe8bxDQor7NYcoG5ogEjgSpMs1cAOBbJKP0I5/xEzvlXAVztuO4cJOPqiRXKDAgICAgIGEjoMUQCxg/t1H+IECbYNlsbt7WwZbatKFJkVzm5e0ZasETFBygz9MJGsD+QXabpivV886lfpP6kYgOUhRibU5IAzGi9GcbGwKHTsfdJO+b4weX3Zu4NvZhmNVLNTGOp7ai3jqA084PS3sR8occE07taZonp3teuWLXOWX4Sv4MbBY3F+qp14TwRqsmCtZYcEydMQaVRpcmqMs3kd5JODhAsQtebSsxVJtY7NbY4gH/636vx6q9f5lvtAAtEC8vxVV3uGYVwO9LGgBgHOy+ZxtIFTYVppq95BHTjDp3tzgDc+pHn4P3POzS/RleaGe8uoApcRnhCWaL3qcIiIh5pud8u/Nenla6XvDQgmWYeA8E23RmZZu5sRx5l9osmowmma+QL3lOK7xJDUgVNwj3j5pnESNAWj055h8HtTphSAurK2zBWRh9VlGYvTz+v4Jy/r8R1gnd/cIUyAwICAgICBhJi4x88hYwHLrnzEcy01EDnQlCZM83M1x/1obPxuA//LnfPGElMs5ij2dAUbwVhQ/49FzD4D76gNOsPxJiImCqYUqC7Z9Q6u9BVFRTzFKukwDQL4qeBhYt5851L7sY7f3wtvnXR3QB8mWa1VM3KcFk01aRPGDDXDvOSD+T2phSWxTnEzDSTheIcHK/82qXWspN4VUkdfMeQYC3svXwhVm+awYbtcwWXbh1J0xfcB7thUipZryn89m9nRWkmvStIV9Fwv6bm2kl/x5yuNzUEgnvGepDHQUx/Q3qupXStDsdEU+1IYbAlG27JQudGxLBwsqkwzcRw0cdbwbiDErTDmqQS8z7ADJ4GnGTKMfNcIY4rMaiItLo7z9L1csa4cmfKOTenMkwtYa9E962pD02t5dpf6EpaOU68bd6XvbSIHGbbydyzYLIhlV8eqjdZR/1hXgcHjA6qKM2OQfJcfL/kdQ+nnysqlBkQEBAQEDCQyATiQfA88lj18Fb85VcuwXt+er1yvK2Z97s2WzOtWHXPyPN8JiIR00zkpV5LxXEoxzTzTxtQHZSLETFHGC1be9A3Ymjq4yYIIQcfHG4lwvqtcwCAh7fMAqCZqDrqFAaZclokCS18EJhmfrD1HAMrzCF6esH2AlRDH58h8ZJj9swEWWVH0KY0Dtcld65Ly5aYZhIrMQgq3ahDqeRK/us3H4/3nnIIANUdpG6lL5dvZFBrmM2UZnQlqDkvDIt6Ibc9Q/I8ysdanViJRwjkBltMUYLk7s0aEcP0RENjmqVrHsc6Vt8/UYJqXUkWDBVrBi8qvbVQdOkX9Rzlwk+Gac6gQJ2XxyU1N3gxzbhN2UNPLmGvRBjYWdpaVnYV8jF8z/I1lGlbDzSiXKkmisz2OxZFrc6WJt0zSrUk5xl5/mSslBFKwHCiitJMKL3uLnmdGE1VygwICAgICBhIZPGswgZu5CEEf7c+tFk5nrMNU5aYx24ri0HE8t8xR2bdK/LUF+N6HBrAvhGlmAYU9n3XmXjL/13trHeAHzILSE0YBZjdM7pGTZUphmSawSB4rZB/QP2Qn1FXTDM9HaVUL+ZfrV50XnRmC0syzYLSrDwoMjKlJNOvkVnOvnjpMXvicfsuz1wR6f0ex7TLRnFo0/ZWdkyPIyILQi+9c50idA8ogmIkl32kXekP3X0pXnHs3gDU9YzJPaN8zGWZP5eyAS6/i3YHSjPpwtupF8iamqnvhVYnN+ASEGsIed6QuzpiwPREhLlOjE7M8Y/fvQpfOv8OslzduMNn/1QUfodNV7d4YMN2nH3D6ux30qTyWrE4uQgFp5gWFDYS8ZiqTLPyfSa/H1RlL0vzd+dRaf4IU466d3HtNwljHKDo+tWF3BDZrrhsSEwzXaGuzFFpjc9/x0n4w9tPKuTj0ImR66S83MA0GxdUUWBtTT8Xlbxuz/TT7TA9ICAgICBgSCCMpMMGbnzR0a3dPBbQYpEtFuRiYyhcZonNistCF7C7qdGvt9Xt539+wFblgBJQNn7CfWfWTbSivWhVaVGY+tZDXKvRSqg4NWHjN3hwKeDFmBBsVx9FiMvlozdYkdkkMFGSBiBctgXYYXVVxeR5hxXSA4nwMNbePclxO8Q4MwmI3v+L68njuWBVqaYyl23YlivU3vbDa/B337zcUZvxBtXOpR9pjwtEH8nzxaQUG1NnB/kyzURMs82z7SwGjQxqytNj9QV0h2x9mcah01mqNveMSkwz5OuHRsQydlon5jjzugezdPo8VGSauVFgmgUz/K7xzh9di9d/+0rcu26bEmc5gzZvq0hOutcotjzcUPQ2FJPNyz2jhWlmqH5gPRfnYi+mmXacQTPsIalm9FrE6p4xYnjvKYfi+ANX4An776TUgVLs77PTIuy7YpEyXhiYU3ZD7bvk/TtjYe80Dqjyurkn/XxsyetOTj9vqVBmQEBAQEDAQIIbFop1woe5FNB7mBbG7cy9lLDA9GCapZ+6YGqiobqz0fNqKJsLN8tRvz7mHNfcuyG45+sxMpeMEtNMdFMuXKSFjiZ0Ew+ioREU5XHxqd/dWj7jgJ6Dcw+mWdqvwsVdv90zmlC2hLnANPOCq11dXSszzdQ4hw7BZyQE5ixVvKnpv3PJPfjDrWu8ahxF6nrp3T+9Tjl/8Z2PWOsy7qjy9BaVp27oxhT7r1iEqWajcF6kydS1jinIpSCnlPqBaVYPMnaqpgzR+4xyzyjSRIpAmkmMH5avZ7X3ltM9o8WFmoCuJAsu8buHeBavuHtdGver2KoF2wxtXlDdMxLzfYmYZpQCQ54PqLWLz7o4Tu+NgmlmCUozPaaZHWJekA0rgPL7lkzewaDGRyRwwM6L8e3XHJfFMOv4eFxwsKUBdb6ilGY7pLFak3JYeDuNAaoozc5FMtxewRhb7HMBY+wYAM9G8rydU6HMgICAgICAgUTmmq+HVo9h8T4YIC0xJYh1uo+SU/f/7ss0i4jNgG1PolflN9c9iBd8/kL8+Kr7nXUMqI68fyUlGVMVomVRRUREskoMypggmBw8dBwUCyEIaqdKJ2p+0FEb0Qzmd1PZMuS4VgFmEN6SMsj9kbOei0YT3BDn0IZGFs9IjYsm4+++eUXhGPUqZGCVWLMBCchny6Uslb6/4iuX4P0/v6FUmdMTEc59+0mYatoXuqYYMQLtTuxk4lNzSlgC1wPxjs8+03aNmNrulNKsISnOBVj2H9BssGye0BWfevc1TTHNNKasjBDTrAdI23CuHWdsLMIDfJJUa39xzrU/VV262juNOmtyz2i7RoethsY1jEe+ow5ZCXrn2i1WZtYJB67EG07YHx/5iyOIfKTvRMvKOcrvh7LrQmq/4xof1Hm5jvI0ePCuS/ClvzoGJx60EkCyXy/rfjJgOFFFxPd1ADGAlQC+yRizOq1njB0C4EdIxuQsgK9VKDMgICAgIGAg0bFs8upCIJoNBkyswlwpknyWc8+YfIrNQbMh2GpqOgGFaaYpYyjoG8IbH9wEALjnka1U8oCaILuqKsQ00wRXSXr3oKkiZ6ZYJbHmnjFgsCD3jIuAJbo1V7r3V5JoGrZlFbAhppkv7HOGfoR2mUgwzRyl5mlZqRhaVB1dipUAOyjWWJnnzZfJp74zkk9ZaaYK1zl016AUfBil1JgJr6t6ka0vkT6PlHvGhtqPWUwzjTkkfjUYQyM1+rrnkW3KtbqLPd24w4tpxvTfYRLpFoJpNtdJZpCEN6MykPXHkUnnANVIkHpMu+0nef2suPll4tMjf17ePSPnQRki22xdc99Ga9pGxHDacw/BisVTynGWstN90U2Lc2Jto7+O9GFAjYvVG2fw77+9GXHMlblqqhnh2Yfvqrpn7KK+AcOD0kozzvmNAD6PZMz9BYBrGGNvAHCASMMY25Mx9mzG2JcBXAVgHyTPwIc55w/VUvOAgICAgIABgK4w6UkZweZtsFCwuFSFRT4xg8Q1QgAhhN7CuleOOSGDYgfYxp5elW1zibuL6ckGkTrAhe1zHWyaaTnTyYyPgtKMUIj67M2rxE0UQgZdQB5cvg4H2k6mmUiXzif9VprVlE+IaeYH2zwhs1qzTy1NzHmBjebKF5BimrEkV1/2O800c2PG4ZZpnEE1vY9bThNMrxX5uHg+5XeQ6t4zvSb7j4bPc05PeeF9VQcK8wMHhEtNea3ZJphmwqBLjVGVM0+iiGVuoJ/7nxeo5err2AJrTGeeFaGvf4LOrHvMps9jS3q+zUwz9VpxTt7vUPNMGaUZldTl/tFHsWVLQZ0T66gx15lVZvbp6V17HXUtUt0QWWTdVJhmDnYjMehWPbINX/zDHbj63g2aAi717CAZqYWYZuOBqs6k3grgZ0ieg4MBfAHAx5GP1bsBnAngtQCEuvlbnPOPVq5pQEBAQEDAAEIoO6oItH0RFmSDAVM3FJlmHps4ocyIxCI82bTmm7XUilPLSrZ6E6dsmwK9LltTpdmCiaA0q4ITP3EejvzA2c50udsjJsU3S89B/dS/14nM8jKSjxncMxoq8YmzbsY//u9VvahegAUc3CBAziHGlIir2E/re5tbmrLvrMB89INtzmBEbA1KYS+OlBkrmdJM5OHZXVSyRDBrL/vhLbPedRs3UEZUvXh6qri1kplHFGZabqVZmXdTQDXI87ZgfsptPNsmYpqJ2GWq1kxlmjVo0aISQ40BDQOLjUtpdBTdMwatWbeYayf7gVYnVhXfKZL3hfrw6W7Gna73SnTTc4/YrXDMxDTLy3QjiWlmADG5RNpafVyht3elR67kNd3M9VlMM2l+KbJYzecoyAp+MS52WDiBPXdcgI/8xeHpumvcR8roo5LSjHPe4Zy/CMC/AFgLweal/x4G8CbO+d/WUuOAgICAgIABQqY062EZQWAwGKA2lYDEKkp/X+9wYyHnJTb+QjguBBXCi5EulKbcr9nIJbrQdNtsG0BQmlXFms1+wlw1ppnK7Mi6RLHQdQsKq2xY9XEGpMqYEpPK58+7A2de+2D5wgO6hptppivde14lBUZDgpL5hLidftAttq+6Zz02bGtJxwxzTYqYy+4ZpbwcPSbSRoyVWo+I+nzm5Y/JjrkUKwCwbuucfyFjhn49Ki6lBFPeKbLxkPm62babQUi5ag3zQz0oLj1yoz9ZQH7z6s0F94yiD3T3jAIJ04zue0XZz4mYZrpgm4xppqUJOrOuIdzCz7VjcCSKJfn5lZ87vbkpw75umGZXv+8ZOP15hxWOy3lWnQc4h3HAUIo4Ybw47vOOyb1y6XwM37M8oe5PqpZDzVHFsvzBmDrviLE80Yjwp399Gp59+G6BaTYm6GprxTn/LBLXiy8E8EkAPwbweyQstM8DeBmAfTnnn++qlgEBAQEBAQOKfvg8H/eF+6DB5KZEbDY/+btbccfaLdY8xMZALMjf9L2EyTPRUDdrBaaZ4hLJvbnQZe6Ze8agNOsp1I1+8ik2hnlMsxxbZ4vCRIpJUhbZJlKTOFHMnjDL9AdX3r3eel4eOy4GVsY0y9wz9k9rprvdkVH2vRhecX7gmvjpRV+4KPvlI7x5+w+vIRXprodfsEuEu9my/fuYvXbI6+mRfja46zSCanlXf1R5vFxCy4IQHTxx12e5xsc9I6U0C9NDvcjWIDy3ctdbWWeaZQxVxfVZPk4ajJljamrjs+ieUU0emGb9wazONCP2NuaYZnIq/VsO3yXJjosmne6lqxLSbUYh1P5ajM9x33sXmGYV8mBgysBwuWfsxumAyLupzVHWulnPq/MdNTwZC++ncUCz2ww457MAfpH+BQQEBAQEjBWEP/deKs9iznH5qnX42gV34ouvOqYQRDtgfkHFtVu3dQ6PWmm+Jos1lfbl5asSQXozUmOa6ctxiklis+zWN33b01gxU80+U1JGEKs3zuB137oCX/+bx2HnJdPKuZxpxoob7/SnOLxxWwtHfcjt8rGa5WXy2dAE5MEd3vzhxV+8iDy+cLKRKbWBZHy4lWYp06wjlGY1VdIbdP0C06w+cM6xba6DRVPubbvejlTswoxpVmIdwaRPDn/BVs5qk9kp7nJbQWlmBBnTrAfluPqJiomXWOabr9vuEauOZpo5LwvwAMUOotwzAoTSzPAsi1+NiBnnFL37dOVIFff2vXSJPy4Qj9pcun6QlaBA0Y2n/CnO1MU084FSnxLX3btue7ZGKuZZPJa5Cx3zeYeOaVauP/V4iS5Wu+65pQyotY0tFqLTMIQxjVlbvICB9cV4OmB+ESQmAQEBAQEBXUBsGHq5ZOIA3vDtK3HWDQ9h/bbgtmj+YOrlIuOLc2DLbBubZ1r0FYQAAsiZZmINrguLGlRMsxLuGbem7hldFp0Bbnz7klW47v6N+P5l9xbOya48XWycR7b6uXys0mOc2ETGnAel2QDiqvc9w4sRKEOkFoLmfjLNgPqE2WE4mvGl8+/EYaefhTWbZwruGWVQcw3VrKKtF042rOkKmSMRGpWKaUYYlHgxzQjFSUACH1e+ZVB1JaC7caP6WodPTDOKjRaEkvVCj0dFxUPU3TPmDNX8mOzOjzGz0YYe06xpiGlmg66QCyvY7iGeK7F+SOJNyuctux7SYJRQstSoNKOUOL5Tw4MbZ8jjNDsuKM2AYntXUm6XTNNNm1OeNboZfu/68bWqC1oqr8A0GwsEpVlAQEBAQEAXEJbcvVxcc0mGEBZn8wdTTDNZ8JAf4zj89LNwxAdoBpG4RndTo/vS18cVJVywWf7pwmjh9krZ5o77zrAicneLRchMs0KcoSwNsjRe5VVimqWbSEXAmTNkZYRhML8QsZ7k57Ht6Z4xC4DeR+t7oUAhUXIsBaaZGWde9wAA4KGNs6rSjEirH6OaVaxZFk02relk6DFHfAPfx9rcB/gJyH3c+I0rin3s3x+9hiteXTsVzu+0aNKYZs7ACAkohy2zbXzkzBuVOHI8++TZJwPL3K7K0JlmJoF0xkJlzGi0oTBNOOVqUU1PrYmCnVf9EH2auGcUDB95HyOnZsp5f6ZZXbXtjYcEav8TYpolqOv2HXpVLW31QjPPGpZBJ49v11Lk5tWblbrT+28EwcwYoBalGWNsb4+/FXWUFRAQEBAQMEgQi/i6hRbywlEEaA6YX+TMLmY4nh9z7e0yq11tcd9sCPeMIh81I4Vp5mHZbdqAKOMrLPgrIVOCEe2XjQnIMc1Eel5IQ0Hvu2oxzZJPeZx1YpppNiiC13GGHmZKVm7anvM8plmPKmaAacyUHUvjKpy69aHNWLOJtoCnYGtXWUEvYLPM93H3mOedfEYRAO7PDCTjpzG3sCoozcwYRCOXOJZGpsc89eJj9jSnId0zDt49Dzo++/tb8dUL7sIPrrgvP6gxzIDcpabTPWOWXhI6I9eaRczfaEOPfaavpahcQgyz+iHm8VYnBkfuqjM/b45fmXvDsD+bdfZbLxjpNkXfuM86BaZZ9p8/9JhfVJtSe+cqw0aMVVtMs7L5yvUllWasyNINGD04V8uMsZUATkt/Xsc5/28i2Sq455V1jLEDOecbStUwICAgICBggBETm9A6IOcXXFcNBlxMszKbQyFi0g3iJkowzfbZaSGZh4yYu905BYFUNWyeSVxdUoLsPJYP8A/fvRJALmzKrL0JFkbdoFwq8eCecSBBKUU7EuuiwRjaBkWqEDT3Ot7lm552AD537u3Zb7Pr0XL5UrG3xgHP/PQfAQCrzjjFmMbkkjFhbKjrg72WL8TNqzdjQep6kWpVMTctmpLdM9rbP2OTIInR+J/n3GZNr9dXd88YlGbVQfaU6/Gp8R1/wTufSroB5TxlLVmkquK9U9aFY1iilIeIH0ev/4rrSz2d7kIxztjM+TH9uTYxPPQq6Iw0fe1MjQ/9WBgS3UO8C+baHM0onZul83Ibs/wlkJ7jhURUn/iwCH0hj9H9Vy4uda2pWOrdF5hmCepYlpWN+dWde8bkU427aE7vY4gojwFyXsJgGrIE1Asfe8R/BfDPAP4RwFWWdMzxtxzAe7uoa0BAQEBAwLwjjjnWbc3jiokFVd0yP3mhNu4L90FDYfOeuTWRjjm29CZFW8Y0MzAYZaHED97wxLRcm3tGE6tITmOtagCBdifGNy9aBcDgAi0TFjNsSpVrAnp6U//p2VZhglEulWLeGzc3Ad0hcXWljgXZPSOllBfdunUuEZDqFvy9hBzHSEdppVkYjqXBwTE9kSu+GIBPvuwoAMDeyxemicwK/YVl3DOy/HPLbNueWKsj4C/EEmiFmGZG2JjN/cBeyxdi79RgJys/oyH5MWJtBkZ3P7K1cCwsgctDPEJUHFw5FrNQYutNPGlgmhVjiyW/I8bMSjPtt86I1hUpPkyzIKjuHqIJ55SYZqo3C1MrU0wzqk/qjWmWfH7l1cfg8686utS1EwbXodTaQzAm+Zi/hgqyBw+WuA7TflnNVp6jeOGYL6j9jj6bKGc8inC6ZyTmzoDRg1VpxhhbAOANSMbC1znn11iScwA3ADif+LsNyRj9O8aY2Yl1QEBAQEDAgOOL59+Bo//td3hgw3YAknvGmjdwijsDg6V5wGCgiuV3xkTShAwi+LqJwSg2A0/Yfzl2WToNwL7wjzkn4yIFpWx3aEkMIKr1KEWq+J4zzdLjhv6rIz6VqIe82TMpUsPOb35BMVjlZ5OS+ehDpJ8urDpxfbGUwhzkB72ZpprSoGDA0ukJ7LvTQkmgSeSRfi6abBRPGiAEWGVHl+6aVs7LhrmgNDPC5nKzCuoQasc8nwlsuXXipF9t77bb1mwh8w8oB1tbqwyilB3I1VhzBfeMhKFXxJikUGeZMmz/FYvIawVWLJ5Sfufu8AQTkTIQ0dlo/XvXjSqymGbtWFJW5JD3tRnRTPRVkWjmxTTrBqK+Tzt4ZyxbMFHqWtNahZpbcq8Q4z3v1CXXKJNLNwZUorqKe8Yux5/cBtRYZghymXGAi2l2CoBFSMb6pz3yew/n/Kn6H4BnAWgDWAbgeV3VOCAgICAgYB7xuxsfAgCsTuOQ9Gozr1vvhf3h/MO0gSCFWK680k99ET6ZCkGFwMPmnlHAJjyIY5pVFBSx3UHeTP/nObfhrd//s3qekiBmwgaaRagj5hx7LV8gXV7F8jL5LDDNQqcPHFhCNVPgYprpz34/mWZLpyfMTDOP60NcxfKQ5wzOc2ayDDnGBjXHiHaXY5q5ml8WjJfpq9wFrSRo9/BzE9wzmkEaabiY7ZZzdaxhefpfwloyz0E508yc10NEjL8wPZSH0DvLhlm5W0bxmaZhquITKLpnpAxw5FcWY7nbRb2/9LXza56yHz72oiOy3z7uGXv1ajv2I7/HKf95QW8yH3BkSrNODM6LMat49l8RYrTEjvd4L2KaKWw4z9mhDCs+7LcT6FtH4T6uDHSlEtkPqqY2OdRFH1jdlDPyqxFydc0xzcIbatThWrY+Lf28hnPu57ycAOd8FYA/pj9PrJpPQEBAQEDAfEOXhZtiT3VdjpSfvHANi7P5Q973ur8JIq2jm4QQQbcCFi6zRDwKXaBFyEitC38T04xraQLKQW+yn1x9v/I7pgRM4lotD3OshWSsffs1x+L3bz2hUj0pdyWcczKGVBgF8wt9fAC58hzwYx6a3GP1Gz4WyrIyP8xBbjCmCZ+gjgkmfVIxiwREsy+ZdoY2L+bNyincY2KO81H+zwalmRmO9QY5t1u6rI5HT1aO2qapPKaZORHFMgyu+MpDzKmUIUXOEsoF1BxqO+vuGXMDnPwYQ/5sRyyfj3RDLf13sxHhFcfunf0uxL0i7qdXzLI1m2dxwwObepL3oEN0y1wnTtabmt2OGs9JZRtnY0hRiBSf0zqVZrniVj5WW/YZRJ3HfdqpZV1Wsv/rcNWtMM306pRU+8lNQM1BgWk2HnApzR6L5B36hxrKuhDJuHp8DXkFBAQEBATMD7TVkZBp1i30U4VjmqQsYH5h0Jlx5ZjD8ltY+GrSgsVTicus7XNxIU8gF0rIC3+Xe0aaaUYLrINwyg+u551yS5aBKx/WPBgDjj9wJQ7YeUnZKqr1YPIxgyI19P28okg045Dlxz6yB6uFbc3g4MbnwGckdZQ5qKZKjRE45zT7guXtT7Wr6LPdd1iAPXdckOVlhSQwLRMPUaQMMc3qg7620LuOUmr22tiK86JBGYVOxjQzp2oRCtPwaioP8Y6nYppxaRHCWM4glZu54J6RcJ2YuXaEGtOsrT2/1HpDga6ksMTvzOoTBkXXEG3Y7oj4pGpMs5lWx9h3uvGXfExGnbpO8e6qokA1jRZa0We/ZlxQYJrV4TKeOCbnesy+O3ZdRiNS5ygTfG5HcZFuWm+N+0AZA7iUZvukn7fXUNad6edeNeQVEBAQEBAwL8j3dKlFZeZqre5yaIGi+H7tfRuw77vOxKqHi0HTA3oDl3uPMu7GcmGienyiEWGyGRmZZpRQ3CaAijnQju1CKG44HmCGSwaUW97nx/TNG2Wpq+fRzRaVc565dpWVrDGn2QgB8wtqc68wzUjGgNqPdcTB80Ucl3N5RF2ffQ8TjxE2oWRECIeYlJBSloh2jxjDm08+sFAGhZxpxkopzTJXS4X87OM0uGc0Q+8rPbJgqf6pCXI8JNsUlCtyzGlagQVdC8S7g1ofxpoxBkM6jqSG1t0zZkwzjd2aM80kpZmDaaZjPplm4wzRLR1pvSq38iV3rsM/fveq5Fx6LIv3RbkZJ7q5VveMcf2uE6mhGWn3OK6g7r/sc6inpt1hJqmWTjfx1EfvnB4rVYyCho1pZtmTUZCrS7pn7GqXFjAscCnNdkg/H3ak+0b6t8qSZrOWZ0BAQEBAwNAhc6mW/hbC57oX14pLRs6zEoVw8aepO7hzbl5Ta7kBZlCBsuXj6jE7KLd5QLIoXzDRwEyqNNOHFbVAt637uYlpJsfGCcLr0qiidDKNG1OTx5wrm7r9ViwqVR7nyV+kucyKY+50scY5x60PbbamCagfugs+2WCfUprpw7Cf7hl1YX1ZKEyzoMT1gr7OcMXYoN0zCraPf3ySLKYZ6mCauUsVSrON21o45H2/xcV3POJd5ijiQ7+8MWsD/R2dzPOykVX/n6VYqYO5f33cM7Y6ccGlYFiXlIdo66bimjn9FPNDepwxpvUhwTQj1qxKN7L8nD5HuJhmYn6wTQ0D4nl4pCCeq6S/ioZeQO4uVX4HAPnYaXWkvQRRRp0MwZjzWpVwAPCp391aOBb0swn0dVmVZtHbklo1ijGyZHqiQglFKIp9S6V9jMxU94zF88maPbyfRh0eoXgBAJO2k5zz13LOX8c5v9aSTEQy9y0zICAgICBg4MC1jUUW06zucgysJfF1eiJx4yeUKwG9hykGFbVedi2iM/eMWmZRlCjNts21rfmoMWLMiHniesVUfpLGvukNKMIlxBOnf3DFfdkx07gxqR7iWO3bpx+6C95/6qGl6hinLtyYdpx22Zl///qf7sIzP/1HXHXPeu/yAtzw2VzL8ahkphklaC7GPOwj04zb7sd9n2pMs5oqNYKQu11uJs5pAXYkKV6p/jG9e6x1QC7ULqPAyNJKRfkMUSGovfre9dje6uBL59/hXeYo4hsX3oVXfPUSAMX1Rsx1Rbt9bu8FhGu/xNWfOZ1QntjGnj6uxbGAcuhkrD5JaaYp0xM2e2pUw9X5RY9pRq1/5Rh2NqaZ7q5RR+YOz7DGFvkH1IfEE0HyvRMn3xn8mTO+z2S9Mc0o4zPfa/0nkYxp5n3FaIJal5XtTZ/xRA8R83WP3XsHa362dTDzTCcgjxuaaRbGyTjAFQH4YQB7AFhRQ1kij/E2FQsICAgIGGrkMqDUopKrx2srR/ouC6mE5dd0MyjN+o3Mn34h8lARruFgElw2GMPCyQa2t+iYZrSlm3nhb1KQqC4/59dKfRjhdM9IjAAxblwxafIyihKCI/Zc5l3HBzfOYMP2liLYSvJ1z1fX3LcRAHDvum3e5QW48Y0LV1nPMzBldMjCR2p/P69MM25mmvm5Zwzzjg8UoxmtmajuZmC5MQ/RrHlcGNnVlr0OsmC8FNOMErR7XCfqOJO+B6eaweZWQG99/dkhvDH3HJk7YjhimnWEy0B7fpONCLOSi84wO5QHpTQTkB9h2T2j3NBF94ym/JLfEcuZG/oc4YpRqK9hy3pUKJMmIIFuOMe5XektG06Y8yTWvXrfdtFJvWCaUYg834ujDv3dUkfTk+4ZS6ji3nfqoXjNU/azplHdM5rz9okBLFfXzDRzZhMw5HApzR5EojQ7toayRB4P1pBXQEBAQEDAvEAXAlV1z9juxGjHPGOMFcqR9piU0Gx6IhEiBaVZ/2CSFZJ97xgORveMUcIi3D6XxjTzcI9h28h0Yk66xlHdOcnH7fUOSODLNLOnSecOSx5615bRiRz/8fMAJHOFGtOMLjF0fe/hw9wzsUYoVzL6/NBrpdlhuy/Nvgv3nxR8xpLsnjG4t/GF1GZQBYjimxDi3Lx6E772p7uMOUTMX1QlpyujNBNJFS9uJVwizbaT9+BkUJplKDDN9PhR8/AscfgxGNsWRY4MXWET5ofyEAZ9DcI9o5gFxE8xZ8itXHDPmH7q/Su77RNlbZltK2lc7hkLarjANOs55HVgJ06cLXcbn4nqZdeS5Ig9luEDz/fzoNDhvLLipswMIsrozgH18INUcJVs/6rKbtN1PktcowtZqOsPH/eMsWK4RjHN2NiPk3GAawV6IZL32MmMMauLRhsYY1MAnoFkvrqwaj4BAQEBAQGDgg/98kZsm2tXds/4d/9zBQ5+32+N5+VFmOo+L2WaZe4ZY1x65yPYuL1VsgYBZWES3ORu9qRjniNC3wBEjGHBpBTTzHCdarlvd3VExzST03AlfYAbTqWZ5ZzoL9Etprw6hFVtFcGRHtMsEY6Fju4V7lu/Dfu+60z8/M/3F865ek93fyc/u5RVrD529FhAdeO4/XbCJaedjKccsCItu/o4Cu4Zy0M3oLEpwN/3s+vJc3lcKTm9Q6gtBOOMlVLKZAwkTbnnmsZECSK22VSTNi4aT2jMMk153Z4HqlkshO7auwYAlkznNto+Mc0AoBGpIqoyitqABMK1r41pJrvkS9hGeTub3DMWlGbIj5uUoW1n3CuV2UPlopdLM1YCfCE3n/xOMD2buXLUvt/Q4Vqzrlg8iWP2WW5NI+dfWWlWYgrphg03SqjDA4BPS+aMd3d5Pnsgq3tG6VTkYYsj14hk9gem2VjANVR+n36uBPDGLsr5e+TuGX/XRT4BAQEBAQHzCrE2umzVOnz9gruyzUbZRdMfb11rPa+wfyDHUEs+BdNsy2wbL//KJfjrb1xWrgIBpWGKt6DHidC/2/MqKkUWTsoxzdTryljkAcmmhxKiKYoyLX2AG073jB4WmnlcEVMZRavaKkoz3WWWcMUT0Bvc/OBmAMDPri4qzVxI3GQl4Fy10He52QJ6b40fMYZdl00nggJYmGYe40tVmoUB6YLOBAHUNhTvEsaYtf1FW8vKdLd7xjRvAA5Pa4U6C/dveV5uQVrONEsKC0yzHAWmGeeqkVVJndmHXnBY13W64LaHce+67WRMpFOP3C373snGnj2/CY1pFpRm5ZG5Z5TeCfmaQ503IjGfS9frbD8Bve9khbpJWD3nimmmPd4008yaRVaHAD8UmGYWhaUvKOMLl2KizKPdP/eM6Zcxn3b0vqnCRPRimpXIz2ceUBj4lvQ+TDP5fUsyzdjYD5OxgGsF+hsAtyAZyx9jjD2hbAGMseMAfAzJeLqVc/7r0rUMCAgICAgYEMibzXbMs41H3UI/lf1TFC4Ky+tNKcPsmns31Fp+QBFyLBgZpHdGx3DI3DMSi/DJRpQJGXTLO0ooYNtEmGKa6fEMsuPWWo8nts62C0xO3SWWDh8mV56GThvz4ia1irwg0gJVmJRmQW9RD3LXPtQ5jw6Un02Haxh9fui5QInl5cTc4rLWY/wHplk5cPCCYYasVGXKp7lBBetDZ6D6gDH33CdDjAOFGe1VaHJdzjQbX6WZ/owXYphp8znFBLTN7TssrOxMKMMtD23OvuvdK7sg76Rjr7x7xi4rOIbIlKdEUxdWHqmiXW5n3T2jQJFpJpT15n6dk+LT2VhkPEtDCacZPvPyx5D5u9CJOf7nolVKPcYd+pzB4ccCtsc0o9LTFxyzz47JNfbiFMSc94VNqI/HcQUl1+jahSeRJ9XeplJ84pBZmWaWdP/9N4/H8kXq+1BuA3os242UAkYD1hUoT0b16enPKQDnMMb+kTHmioUGxliDMfZGAOcAmE4Pv7+bygYEBAQEBMw3FKEVVDcndUKWSyXCc1GOWtBmLXZAQO+Qx2dxC3Rcw0Gc160wOeeYaESZYNOUj1wHq7sU0PEkVHaZ/D2s/nU889N/xFEfPFs5ViWmmX6MYprJezhOMM2qWnqqTDN6XAWXjfWgmyDyjDFlbLUVpVkxvT4OGwZ2QF3IWQXJ+HS5rLVBrnuYd9xI3PCpBg6UQYRwF2SaK8Q1ylzjKFv0e1TSPaNYu6jvK3sZQJFpNjUxzkoz7bd2PubqzF1GqQkAk3XOGURWiyZzsZGYz1yK06bunjHMD6WReRggmi7ft3CFiS6PJJOrX5NAOrIwSGVllZcxiSGjFz52D0MJ1svwv5fejdN/cQO+ceFd1utHDad+7gKc/nPaTa/y/k2ZZpR71TKg+tZkyHPEHsuSa8q8T2I/N53dosderocGRaPN8nn4GMmUydfHMExhtlv2TLoC7sg9l1mNVEzuGYN6dfThVH5xzn/AGDsBwD8gUX79J4D3MMZ+AOBiAHcC2JAm3wHA/gCeAOBlAHZFPm6/wDn/YZ2VDwgICAgImFcYWDy1ZC0twp756T/KRQLIF3KbZ4LSrF+wxY8pHHMqVXJrfz2viWbONPMSJlstPznJ4tA3zHl6d3Hjhvs3bAcAtCUXQ1Ue+1YqxMrceRJ5RZLSpC5FQhTpMc1CJ/cUaVvTVrpu5CwA7mRj6V6vfNzNdAORuxinppHkM8KUewtUMyPyeaLYRgrTTFZoWvITCgjGWCZQcs0JMpukzJonj2km5WUYogyqa1IAmG0nsT2nDKyXcYDe70X3jOpvVwxTHXW6vmQoCt0XTEpMM0JhS0FX2IT5oTxEGDHn+lQioitrEUMnFfRbkkJ9Jn1edcw63DPqJfm9J2mDAQprNs8CQBYreFxw/f2bcP39m/DBFxxeOCf3dTvOXbyalAwlCMIKXM96mXUu55wYHPXPDXmMrdqzHipQ0263S0xSaU4dM5RT1k2rab4CiutlyiBAiStMuWdEGCfjAKfSLMVbkIwJEddsVwBvSv9sECPr8wD+uWzlAgICAgICBg3yRi1hmqUC8NrdM9LHxfpNfG7S3MYF9A6UAFA+Xgai//RFesw5JiKGVuaeUb2OjvVgYZpxgxCNA3c9vBV3rt2CA3deIh0Pq38T7l2/PfvuEhxT7SjYg5nbJDF3QN+U5enqiNERScJxQMSvoMdEWXDO8bUL7sILHrs7dl4y7b5gDGDrMSejB+rYkRkWdz28tZBeFziZ2AF1QYzHKGUzdTNdqEyzbms2+uBcHT+8YLQj+oYZhIsJOukEFDF/AVimkENZpVlxDjMJZSmDgcw9o+Tib9ygt3aBaabN57R7RnOfmdzwVYXcvzssnFDWJ61s7NkHHrUuCigHStHIs/1K+js9nrOj7QJigHqe8+OP3mVJ8QLA6RaxLrfC8tjbPNPCwskmGhHD9rlEWbZgjOcRHZThHCvxTvCFqW/FcVcMxv993XH42dX34wdX3IeY98EFNXLFzLh7X6hj3vWKaVZCSVl2T1RMnh/Q3zNRxKxxY6n4fCGm2XjAa5XEOe9wzv8RwMsB3JweZh5/NwN4Gef8TZzz8TLtCAgICAgYSegxRXIhT+/KkaELlbYE94x9gzl+j/jkhWNm0Ewz8ESI1Wrb2UaK5b6llNikNAPwrE//Ea/5nyvUmGZh9W/EVulZczMJi8dEP+hMM8XoW2aEgbDAriAv0IXjJveMVXDz6s34yK9vwpu/d3VNOQ4/urVSli8rq5z1iffQDWQBaTKO6Pr5KN9l8kEQiruRuMOUfkNlv8qKLduwEZfIY8VHmSsKKaU00+qWfSdjcxbrMxtimhFufdUD3bpnPHjXpRVrVoQudH/z0w5UzmcxzVzuGTWXkUGpXh6CharPGclnrjUTQjtAbWdTH+mvGPG+S/qe4emH7Fy4Zk5ioFG5mvKsinYnxhEfOBvv/VnimnB7yjCTWY/jDi69fzuSRYap5WW2sTHPEuw/0eeud/+THrUCf/vk/bJ69sN1YjcutkcJdcy7tnAGJx+czBV5HOD8pM24xl2mH/S8IlaMT0YZJqllsWBsOgYotQJN3SseBuAUAJ8BcDmA+wHMpH/3p8c+k6Y5jHP+o/qqGxAQEBAQML9QLL0l91l1W6SZhZFqRTbPBKZZv2BaF1OxqXyVKtT6f6IpMc20c3SAdFs5nIxpBs4zF5DtWHY7GBb/Jsjt6IqxQp3ddVnCxNLHi1FpxosxzaqhaLVfVzeL+S+4ic1hs1J2didTx4VLQaGftgVArwO5K65UON/FOJLvLQgd3CgoKdPx8ezDdlUTsqK1tAzBNJNHiqv5VYVcGaaZiJmUl2YUeilzH7Bu6xy+/qe7APR+XA8yKPeMBSMIKYlv/K/JRoRVZ5yClUum6qhmBpsrTvEOdSn3G3pMs6A1K43YsjdR1xy5S025nc3KDpcyrXh+rlMuplm3T7u4jR9ccS8A4LuX3gMAmA5MswzyvNKJUyMtg0GDDGsMZaJzzYzF9BpXRaW0nZj35V3QBzLbUKAY06x8w9i6672nHprkWyI/H2K0alTKjOf0sdRgRQWY630amGbjgdJmWzzBbzjnb+WcH8c534tzvjD92ys99tY0TRhDAQEBAQEjBfnVFnM5oHa95ZhkBDrTLMgS+gfR5sWNg10oQeeVfOrWvBxAM4ok94z6pqWYl83yLmGaFf2fyONmw7YWeTwA+Kf/vSr7rsQ0c7iUofp/0VTiFV239jYJoeOalGYRUzelD26cwVcvuLP7jCWEFX8OsUl3jREfyELMXZYWhdv62Om1rEfcWyNyxDTzGA/BPWM5cN0/IxKBjmDlZCxA5MoqCmIaS4TlfiNG9HvESrpnFNfLxRiKfOWxewNIXPpxcHz5/DvyfML4yMDBlXd+8hzJAnDPxurBZKErSHX4xjSTiWYnHrQyGPNUAO2mM/nM3MqLOFYO5qcMW0yz5LN4zWzL5Z5R1E/Ux5rcDM1gRX8WgtIsh/r+5ek7w/z0+vQJ9ZSannXKJagL7U5cUHSUnRp++g9PcqbJvAWUy3rkQMblLflsFuN2F/OkmH1llfYAcMw+OxaO2eqrj03K/aLrfZqst6xJAkYAQ+/rgDG2A2PsR4yxmxljNzHGnjjfdQoICAgIGF0oTDOeW3POtDqZ3/xayjGswvJNb21FBXjCrNwon5foX30DEHOOyWaEVurGyM/Hu6Uc8CyWll7+9ESyDJSVZuPuw1/Hr659MPsuM81cQjzaulvtU/G5vSW7LpKFoXYBJAVKsRJJluQAcPuaLbjy7vWl8g3wB+VqRj9nvFb6/sMr78P9G/I4eh954RGF9P1+D2SMozT+lJF96zGPdEo8TwFFt6ocHDEvWku7xlgne/fIR93W1MlnOfeMQvFv0pktmc7Dq//DUx+FOz/6XCyeagKFex1P3LF2C776R9XAgXO173R3jHUo66tCd8+oD8WOYd2joylJL6cnojA/VIB4Ts+89kHs+64zsWHbXHZOXoOYyEViXvmnpx6AT73sqOx4gbkh3PaJ30ReMtOMQoFp5qOgIYYEs5xLjodxJCCmjWbEMoMwn5hmLs8WhfQmN3vp+PJ5nYg8OjF3unZ14bF774hTj9zNmqZRQaE3itD7pkrLFyIQUM8tkbGp6W2GPt997XG44r1PV9LoqZW1iJZXg2Dpu9i3jGCnBYwemu4kA4/PAvgt5/wljLFJAAvnu0IBAQEBASMMaW30JckSetNMG4e8/7dYdcYp9RTjEEYGIUL/kblUNByX4doIivO6m6K9ly/ERCN3z6jns3zhJABgvxWLfKpsdPHGASyZnsBMaxbrCWFKQBGy8tGpNLOe5tL/wEu/dHF2RhGGEkwzl7yAEkYmMc3c291uNn5h2OSINeVoN/jdjQ9l3yeIuE66wNzUzd1u6iOmzkUi9kM37yGZCRHeZ2bkynYtpllKMNKF1S7LZ8E8jhhzCpl1MPi7/wOAe9dtT+smCbGk77LCj4Ehiljm7kges+MqlHr5ly/Gw1vmlGOJe0YGZGtBt3tGkjFQa0398hUxzVzuGaMIeO4Ru+IvHrsnfnTlvXDoXAIIiHXf/12euCi8Y+3WPJ6qrDRjtGJDdNHbn/VoAMBbf3BNdvzct52IGx/cpKQXzzW1Bplr+zHNsrwqjk5a+F6BhTkGEO3SbDDFIKN2ppmBouEb00xGh/Na4ra6ihR1HtPXToY61mX63kPO0aZoN5Vt6/7piUaBTVrcQ5kziAhfiz5zxpgPk7HAUDPNGGNLAZwA4OsAwDmf45xvmNdKBQQEBAQEaOCc42sX3IkN2+awbuuc+wKYF+u5O8iwTOs3xCL+/FvX4pbVm7PjFKui7TD3FtfI/tn//P5nYJ+dFmGiEaEd81RIquZ95F7L8M2/fTzec8oh2TGb1TbnIGOaxTy38t+4vaWkD6DRUmK/2dNSp3WWKG1xyZT0RStJh7CRGAtV4hD4ImNVhYGTIY9zWYSrJ2x9NUkEc/h+GrPFv4RqEONKjmnW6dI9o8I0C0JxJxIdGdeO5a76MsYHY1amn1BA6AxUG5jU/1UEz3IxstCroSjTRFpGKwjHEFtni94Lkj7Pf+vP4XwqBhjUMaWPxSymmWPcNaMIX3jVMXjGobuAgQWlegXYxoHcJ3qfZcdNscsihv1XLsapR+6epkuPa+8IGbNOpVl5plnTEtxILk8eOmR83zGFaIqJKEIn5hLrMGn8JdNNvOHE/QvX2bqGekzNMfBKMM3SLDoxR7MGpZlrPqmqtB016M1kUrDboHcXzRAt5mkaF90yDW2gFLJO94y5/UrACGPYmWb7A1gL4L8ZY0cBuBLAWzjnW+e3WgEBAQEBo4oqa6PLV63Hh8+8CZ895zZsnmnjm3/7eOc1tjhHyWeFigR0BbnNT/3cBdl33d0eANIlogLBNJM2ADukLLKJVBjQ6hRFnwwMJz16Z+86379hG9ZL7hfzOnNMNROLPFkwF4RTZnRKMM2onWFu5a1+ypC3bLEwAy8Byqo3irqIEeJAEC4UEVv61wVbP0023W1tZpqVrgqdv4hplrlnpDMurTQL844TujtMjvSdVGBp5AwSCoJpJp93tX5mEQ5WYDf6QHfZl1uYF90oZUwz6fpxdRusu94Ekj6X1w2djjouqGfJ1yXWmW9+CpZMTVSqa56neZ6SWY42KAxEFuaHKqDi4epr1SymGXE9NfYAihWW5598VhQ8l8TLHrcnVm+cwZcl96UMDHc/shUnfuIP2TEldlfYOGUQ7dJsMMx2YnAkfSe6ohGxbI8A1Mv+S/JLUCqmWVwP08ypNAvLWgD1PC+2uT6fM5JP5Z1v6KPyRoDM8qsIvVQfBWuYVUYfQ800Q6L0OxrAFznnjwWwFcC79ESMsdczxq5gjF2xdu3aftcxICAgIGCEUGXzPpPGLNo80wYA3PTgZltyAGYhllhIBiFC/yG3eUtSoFA94RISZO4ZiQ3ARIOlZcSkpZ8OW0n/+uPrcMZvbnbUxX4vAQlk9qBrM0mdFZdzSxp5RxdzXmSaOXZ8tJslW3j3HD/78wP40ZX3OdMF2JH1s4NJWBY+18opFk42jOnKlVv8zhhDHFveU+nnDQ9sVOKyyYgVpVn39Rx16G3EebIeyBlmyXHhOtOEnO2Tzwuu5YQs3CrjnjG/ninfxU+ZLJKx2SDuLT83rssdUj6sKc1anVhRKprcMfvgsN2XYe+duot0Qc0XAr5Ms4LSLEwQtUJ2IWyKY2XqI1P8MZHe9ZZ6xiG7EGXpebrfdZPNCKc99xDlGGPArQ9tUY4pLMxxnUgIiDEw0RBMM67Et2Ogx0DZNYxp7Sny8dnL5gq2ephGTveMWUyzrosaahRimhnmChuKY4gwFiTau4p7Rgpl66sr61zs1MQYYcwHyhhg2JVm9wG4j3N+afr7R0iUaAo451/hnD+Oc/64lStX9rWCAQEBAQGjhSprI/2SZQvclrymBaPu4i2gj5DafEqKL0QtmF2bcyHkopVmgmkWQx89pAytwqBUrG+DJa4X2iWE/FSXFOOJOJhmcfkNH+lmyXBcx8btLbz9h9d0Xd64Qzz7VZ4kW3P6NLUs0Dp2v+XZ926ealOcPM65MWMxtk/5zz/hyWecS6aR58ggdHCDE+4wY4pR5mDmiDm+jABMZpNQSpm3P/Mgv4ygjmNKABoxVnBFOa6vJcoFHYca63JOM64hlWZ9er4YszMLOrF53SNDZzmNa//XDZPBDj3HG5Qd+m8tlpmtb7//+idg12XTxTwrrCN8mU9hfUtDNItQmgEAmNquyvea13qZe8aSrpn1uUHu0Vccu7dXHq5hIIoYV4azQC3GuTammTD4Icumr3G9O4pleFcHQHFudLJkiWsCRg9DrTTjnK8GcC9j7NHpoZMB3DiPVQoICAgICChAF1jssNCtNAsxzQYP8gZi0ZTdw7XLOk1kRVnNCaWZLgwD6tu4hjgP5dEu4Z6R2mznLpHU38Y8CKaZC1T6iPXeiWKYjnIIwZxLKVoWZZlmZYULtjxPf96hmGiwTMkRMZbGUvLreEpYqSqhwwByQTDLst8GgwqXEEe0uyx8vOqe9daycxYYI4VIR++9I44/cIUjD62iUGOIMOlL0RXleI4P6hnmGtNMdwVNK83qrxsN9V2j175NKM1e9rg9C7k0lXFBj7mAclAMcrS1CAWTG7wCK0x8ajHNqBiczUa5PMuCEdeO61rXtUcU71zxHsiSZ6xiRjPNaqof5ZLPlRYglGbSff7DSY/yKtvVNnWtnYYdBRevFZx0+sQ0y9vbreCmXNDbUGDGlrwDH1eeYfk6+hj2mGYA8CYA32WMTQK4E8DfznN9AgICAgJGGFWEN/qCanrCZ9VHl5PHNAurtH5DXsMvmMhdn1Fd0e7YzSf1DauM3D0jNdpoIVpZyJfEQXjthVbHzz3j9fdvpOPIiU8LE0ne4HU4L2ze91qeuM56w4n748vn3wkfVHGpIuA7HsZVqE2hK6ZZjcIaeex0Y2QRMYZXP3FfvPqJ++bHIoaYm+ce/fDm2XaBYa0qoStXbyRx+5rNmGo2sucdSJ5FuU8lcoACxgAem8fSnWuT0N+yMv20n1xnrY/snrFqXwllnnwPuhs+kU4fQOP6WiL0Dmkb5r91N84Uy903zlkdsE1hGdNMuq/FUgy1iQZDq6PFLXIwJwP8wGS3rYp7RkbOFSY3aAWFgjQ3yOcnmxHmtHVwwyDxLmTp8Rqkng3Z9auAi4U5qvD1hiAUme04LigdKaOGOrwfABKbq+Sz3bT45/ONd+ZWhGiKxDFFHY+LjwKSSmJ2z1i/QvPsfzkB1923EUCxz13xyRljYf8zBhh6pRnn/M8AHjff9QgICAgIGA9UWUTriz+fPEyL1eCecf6gMs0a5HEB1+ZcnKU2eYJp1u4h00yucxm3g+OMjmc7nfq5P5HHuSSokj9lyP1LuV5bPNXEqjNOwY0PbCKVZrTwq4p9aALXhtF2L+MKMU7qfpZ8etAWT6hyuUQ+wj2jsd+145tnWoTSLBeohlgzKp7+qT8CAFadcUp2jHMo7SrmEznOHIA0MH0M04j59iV3A0j60Ns9o8YiqQKWmmTLWcjuGfPYbIkQSmHVjen4oNxXck15OqfFNKMMOvr1XmdMs+TX6i/mRjXGXX4+uS9eEIwHpVldKBp0UOwswBw7yqUEEecnCFaZSeGhx5DyWa9MT9AxOwtKM8XN6/iMI3dc5eT8ZLbf4IrSsddcqzIxzeTa2BRjvvGu/N0zjjf0vqny/rcxzWxjzdT2vXDPeNAuS3DQLkvI6+XniCqZIex/xgFDrzQLCAgICAjoJ6opzey/y5QjhEe05TCvlakQoIIrSrOmdLx43mnRmp6mNnkijslcOy5YsNGbi2rsR1Ffua7jKpykoAsfW10y8nL3jFz5NKfnRuGRyUUJlToirK994St4CaMmR5xPCMrxmVYHP7n6fuu1tm7y6UN5vMhzSzf9QyvNEqaZMfamVuKW2XYhTSsToI/nvFP2nmPOlbgKWWwybdQId0Gu8UKxnE0QKY0CK6+xmX4yA2tBEqDp4fLGcHgAoAXEMVeVTu2Oqrym5ux+Kgts466dBjBSlaU5mhHDLDQGItQ1c1jndo98PKTMP6I5TW1cJJqxNA+m/J5sFhcppjmn4J7Ro3unmkWlGXVZrDwb+fcHNmzH9lbHXdCQwvXMi3bJmWY8VaDmBhJyv+jGGb4wpc7cM5acmkzKXMBfoeIqMlfijumLJwW1/C/d/15MsyKzz9T0pZVmJV8V+trV6dKVhf3POKB0TDPG2Lnp3wd6UJ+AgICAgICRg77w9hFgmNLkMc3M5wJ6A7l9F05K7hmJtK6FduaekVjRT6SChQ7B5KA2IFQg7VOO3M1aPlWX5Lv3ZSMPvQ87XTJjMjGVJzuLcxglDmWE193IF1uOATHmMgUSYpjoTbPqka1d5etjfV9kbXQPKp+IJcJ5I9GswDQrKs0E02yqGZFz2Kij7LOju8PM3DPqQmxPIU7Sr35jhBpKf/Okfb2u1fOQxzHpnpEJo4782nF9L1FKBo6ie0YZvq4Ye9GkBat+7bd4zk1zk7hfRanGmHJP4Z3jB2qtqK89hHKdSltWwZUr1pPPJmHZY2aaaXUnU6kg3dyz4ntSNWbLn5UnnXEuTv7k+R4lDSec3i7SdhH91Il5wZV3L3TTugGGz35YrkchppkhnQ0uZVjQySeoQ2moN+WCSULZTTD7zEyzsuWXu0C/Zacrz6A1GwuUVpoBODH9e6jmugQEBAQEBAw8qiwi9b2Lj199c6yYlGlG5DFO/vrnA/LiWRYIUGPCNU4yNzQWYUWbiGnmu/x/3fH7O8o3seLCGBJoa5J8xY0lZc3vKaSwDQ1VUMyN/e0dbwQizkc1KYBvbL5xt8iVIcZBlSaxdVPZLlRjmpWvC5VPdixKBNm++W6eKcb4E8L+yUY0Vm6zBKqo3fX5AaCZHz7PYxT5M1Bl14kCR+yxrHDeLw+pDgTjKHEvyRWL73GNGUIqLjT3jLrSjJqyyeerB02qC91N9VBClknfhWvqpubajxr3AXbY5gDdRZrJBS+FgtIsy0d9vvU+BMyKuFxoTs9pFCj3jEyuUAoT02zU4TLsEu0i3GjmrlNFCqaNgWprSNPac/miSQDAyYfsUio/G0Pa11DINYdkTDP/ao0kCu4ZUX4UyH3y5pMPxNuf9ehCGipP0/zlG7cuy7s00yyBMDx1yVUSI6VxHymjjypKs7XaZ0BAQEBAwNig2tJIverz593uvMLFNKPWcUGY0FvIzUu5PpNb39M7I7kBbEqbWH3jQG0AqKJc+4rYIIQKetccQkn29mceBABoSfG9KCah6/nLx4lZ0cS1vjASykyuk4hjEasen8IV0yzMOUUIYVUv2uYpB6ywnpeHhcLO6GJTT48pls6HdL76UYppJp6nyWZjLOed8u4ZaZeFKxZPAQBef0JiKOHLNLO5udJBxR7Zd8VCHLzrEuW8PRORF800k8vSmWbjOs2QMc2gM80094xEY/XXPWORPajXw/T+yphmmntGNY/u6ziOYMjnhRsf3IRYYgpTvWHqI/2RjTRlmfhNscoo9hldlntCWWCKaaYfcDwbo4oP/PwG63nxLGYxlOMYDEwxbpCNIepmXy1fOInL3nMy/vXZBzvTykXb6uGtNHMoT4ViZoyGC4k65lr5kf+Xpx+IxVJog2zOyNpbXrMa8utyIPpefuDOiwFoMc2IaxnCOBkHVFGa3ZZ+7l5nRQICAgICAoYBVRZHLU3wfMvqzZXLjy0C2SDA7i3k9lUW7kSz+8aCooSGjUhsYot5UBb9lPDVtbGQL5EVI2EI5eik7SIsmmXXPnTcGHt+usKbSq4qXi0xzTzjjYi0VfeZLYd0wXYv44qOgWnm5ybGnIYx4DuvPQ5P3H8nr3rUFa/FxEJIlPr0NWXdM44jU7HsHevvd/F74WQTq844Bf8vdZfI0nhzrme+jDI9Z5NIxxjDa56yHwBg/xWLKuWhumeUmJHQFYTjNz4Ag3tGrrZVq6PGPqUYzzTRrP42ZY5ZTlTN1O9C0dLwULwF2KErovR2/PYld+dxU0u4Z9ST6gqGjGlGKMgaBPsMqBbTjGKaUVCMwsZI4+qKnyrapdnI9xu+7hnrUqDtvGS6VGxNAGi1zX3om5Xb5V4AQLRThb2EGhfP39jP9Hoq656xWJYjg7Rc8S7yY5oFjDqqKM1+iGRsv6jmugQEBAQEBAw8qggadPc5U0SAbB2mRX3u4q14Prhn7C1UlzaygK8C60gTMMiQF+vEnqWYF5G/U2kmXSVb3waBVA6hMBLPq6z8ppVmLnqhqmHySW7qRtPGkdoQdsM0u2LVeuv5cRVm25C5rKxwrY9AwurCUerpGUlp1pV7RmKwRWmcIVO24oxw/bR9rqjAE0YBU80xdc9Y8pYT9lVx3ibjAXm7Z/SbGXQWifj+0sfthVVnnIKdl0575yGXSLpnTFmMCtPMq5ajB0qgHHOuWO+3OrHKNKvybqoJBaE7mFI30j2jdL1QqjSkGwwC7Pogzx/3rd8GIOkvaj1hXGNoc4ZQcOosQtKLgmdMMx9QMc0oV9S/uzGPKCPmTNNe6aYHN+H6+zeWr8wQQgyFCYNygIGen+cDcp/Oavtp077MBtdsmI/HcX3zJOj1a0N36aqUbWj7sq7my7tnTN9RUmxxa/6e7rADhhtVlGZfBnAjgOMZY2+uuT4BAQEBAQEDjSprI93FmY+FpMuCn3TPOEb++ucDKtMsP57pQhyCKxVCeGS28G1rFuSOrMg8TIgNdR1H4bUJol0mGhEaEXO2UxLjydx+PPvkyieZKM3PrDTzZ5p1E9Ps3JvXWM/H+U0FpMiZZpoQqiYLWd+4Z9tb9bwQqOKiqKjYkCGOTzWTd902Qmk2J2KaNSM4vICOJMoa4OhKyo3bkzhxhZhmnpbPZdwcZWNPud77cjUPRgvWc8UcoHPNxvW1ZGKaqTHN1HFBu2fsRe1o2Cz5RT1M76OJiI5ppuYxpoOhZkSMSe4ZacMI03UyUqJSHhMrPU71oW+ePlMLGdOMMBB654+vzb6LOm6dKzKfAeBVX7sUp37uT2QMzlFDzjRTlWY296rZ8S7K7fbpnWur8bR0RQABAABJREFU6xrxHgT811guJUcW02zMpxoqppmM9zz3EPz4jU+y5uGzzhBjTi7N1Pal1x0VWKxAYJoFqCitNOOczwI4FcA1AD7NGPshY+xExthk7bULCAgICAiYR9yyejMe/5HfY83mmexYlcWR7uJssgumWe7ijWCajfsKv8eQ187yRoBqdV9XfVTMErFYbxNMM4r1QQlfqY2FUpTMWJAqG4ZQDqHsbkQMjYgpzzEV6yvm9n7XlatUWvmQ1T1jiZ2jbv1fJ4IAs4gyjN+CwsMjrU0oLec3W5N7RkroEbGk7337f1uLcs+YM83G0VK3GtMs//3l8+8EUBwPzDPvBvNzGJplCnV8lY0tQo1fxQ2fpFSLtXsd13mGUi5x6EozdX1JuaCj2q8XTcpgd+8m6tYwUM3EcZtLr+BQoTrkphOGD3qfZeeNCi7tdySYZup11NW+rvh8jHymm4TSDPa1TifmuG/9Nlx428Pk+XVb55TPUYboL+FGsxPzxMAqPZ8wEM3PoS/qWHvKWejz3UG7LCbT2eCaQyglzjiCaid5HLzuhP1xzD47WvPwUpqlnz5xTKuOQ1+IchvSc5GVTYww3/VWwHCjtNKMMXYngHMB7ILcTeO5ALYwxh5kjN3p+Luj3lsICAgICAjoDb550Sqs3TyLs254yJ3YAl3ALrtnNAkLTWuwPKYZfY5zXhCaXHXPevzhFjtjJMANhWkW0cdtx5Qgx5nFdbGchmThVoyLRNWreIxSqig6M0Ndw+I/h3Af12wwTERMeY5pa367EkF32+dqa1tcIl/XSUBJ4XhJdOOKcJSw77vOxLtSi3Zb3Ekdpdg+hOKikEbq6fpimtGMgY7VPWMC0Qake8ZU+NVsBPeMPumSNipepHfPrQ9twXX3b8Q967ZZ840if4Emo76VZpql5UpsEPk9KivVOFfffeM3OhJQ7uy4xkBO3DOq7yZ9XUnGOauvmhmY9q7Ra0+5Z5Qh1j6qi0c6jwAz1myewYZtquJHd5UZCYaEYX1g6qMC06zgntFcL5PSLMrysJctY4pwzwjYjUo6McfTPnk+3vjdq6x563GoRxEU00xWOjKY41d1o7jodi2qM83+93VPyPP2rNfCSbu3l27jZo0KCkyzCu1ia8tcQetnDCpf4ws9veseRKmCKOs0guuxEi9gMFDFPeO+APYBsCsgsbqBJhJF2r4efwEBAQEBAQOPJdNNAMCWmdxKvsp+vRjTLF+wX3XPemwjXIW43F5RyrZfXfMAXv6VS7D/u3+tHH/RFy7C3/z35SVrHaBDbnN5Y56HqqLZW3o6IN+MUEKECSkwt56L7/qcZofkx2JJKKkwzcZWPFlEJ2WWNaMocWXE5XOE0oxQcsooPrsuxao5M6N7RlPaHm3sbPPRuOH/Lr8XACCmex+FdyEeladCzJhGSlJXTDMTC0GPsaVAUxxS7hlbMcdkI0pYa2PoWrjsXGtyh6kLnO7fsB0AcO+67db8yilsi8qM8kwzpnwCBsttJpwzBmMOiokOqG3f1twzUu+hvjafZVjobKQkef7d5pZRYFzHQhkc+5FzsJWYc2WIscVgdxPuQkNzY5blZWAoU4g0F4/NhltEScWGZoxZ59WY84LSRaAt7dPGIT401/YgnVQZryi9lecU5Pd+QB5Kev+tWDyFv37iPkk6z/w++bKj8LZnHGQ8H9wzJqhjXe+jyKRSmJlmZcvXy7JnkD0XjSLTjMxfuy5gNNGscM09GF+Dr4CAgICAMcKiyVRpNtvCdfdtxCNbZystjNraoku2kHzxFy/Gcw7fFV/8q2OUNEYGmoXZ8YFf3li6bgH+kLtEXohzAFtm28Y4YXI6/TslmMiFEHFhHFALfmqouNwzfv68O/ColYvScvLjYyAr8IawNhbW/rIwRn+mAeGe0dyAa7fMYt93nZn9ppKqDEDzhtNsAWw4bqxVdwhW/0WUYd8lz7NfG+aySHNvymdmJeFSN8pwai7JmQGG91T6KR4TE9Os2WAJA2IMt5ZlHx09pplAVav4RmRmEgDAEXssw3X3bwSgssTycksqzYhjESEbZygqCMdVIEW1T8y50g+znVhpK8rYhmSa9ahNVZdudJkmF45U7Dx94FD3EuAHxfCLsfw3uV40KGy1CUeky2NiGbN0xjRrp9YTEx6TGlU/MXeYQK3bBNZvy2Nj6YaOo4jcPWOuIErsq3IDiToYV/qe5VE7L8Y5N6/B8sXVIvvMEX3zwecfhg887zDMtP3Y9TsvmcabTj4Qn/zdreR5Me+O47pEhm7MVGU4WA3B0nO5klI24DRcU7IWVf1s6AxaY/5p9uL5CRhNlFaacc737UE9AgICAgICBg6LU6bZ1tkOnvdffwIA7LSo/EK/pVnG6Zu9a+/bWLjGtEzLYpoFwUHfITe53IezrQ4OP/0sJS0lkKJYRJQQQYlppp2jFuXUxo624FcF9DOtZFx2pJ2RS5C2dvMsPnn2LfjA8w8jA7GPEhSrZ6YxBYnn7/xb12Dv5YuM+a3dPKv85ryYj85GNO3BXMInJU/wnm3mRPXDbJRDjJuCwpvqg5JWsMQlRnzhVUfjlV+9FEB3ynBTTDNAVbjL0BmIgk09147xm+sfxPOP2h2tDk/mOlZegTQKKHvLRqZZxfL1mDUyrnn/M/Hgpu149mcuyNImZeXpiyxJR00IAoqcX3acsZRplmMMh4cRnKvGNsk7JG+hxK2z2mLi+Wd9eNZso0DMjb4spiQ/NW0YC9WgP56RpBwpM4foXSfIgZl7RkturjhpwgW2D9PMBKuLbKvSLHdnOQ5Mszy+oMqoURlltAK8m/Xk25/5aJxw4EocvfeO3tfI9aCYgoyxdBzXs9DNYpqN/jCwog6jOK+YZtS+tldMM8f1olh5H27NH8KoMmCUUf2NFBAQEBAQMOKYThlhm2X3jBXyaWmLro5mvkXGxDIs1ISCZAz2dAMHuZ/kdTfleoyKeSVDnLYzzXhhwFHrfdplF3FM+525xFEUNXR9Bd790+vwf5ffiz8ZAqmPEoS1cTMqbsUpocq/fP8avPiLF3nnz2GPgWazXDS6ZzQyzboXJlAK1YxVFeajDLnSTD9jVj75QNIpqMcNwqyDd12K055zMIDywo/3nXoonn7Izkq5MgTbwGW8IU6LOfJz596Gt/zfn3HWDQ+h1Ykx0YhKcO1GC2WZPjz9p6NqfJkGY2hSVCYAC6caSjwtyuOaXq7rfrLxK8XKMbGMCjHNwgSTgUNt+7bmjpFiJIojvTaEl5kqSXlqiXlMMzmNer38SSGMheqQW0483gzl5pBCTLOCe8Y0X2oNaixGFVD7uOkkc3EohW3KsHVbc6VZewz8BetMsySmmTQ3w7w+KRPzTe/zyWaEpxy4omRtc1BMM1NZVeGTzfcuuwfrt865Ew4x9MelylrDHtPMlh89xvrF5oq0ec2EnGkW3kujjKA0CwgICAgIMEAslmbbcmyY8gujtrbI19f8Lld+MjKmWVig9R2qaxv5eDEtta9TLedTK0+SaZbGNOsQQlKSaVaEnu2yBRMFYYfYsKhKXPu4unfdNgDAiiVT1nSjAJtVfFlL5EVE4HHOi5tSvb/NTDP6uCl92Y0mzZQ0pxt3NzYyxNzsUpwDxeffx5WNnkR/qqnjZV8XT9x/JyydnkjLpZR9ditcMS7EczKTWoev3jgDANi4fQ7tDk+UZmOqNSt7y6Ypp6oLrYgxI+MnUVzJv3NWStVyxTgyuXjUFSbynBKMhHJwzT0joL6POnHxec+ZZvmFvWhSRohBX3LMnth92XRSZlpoKWMBLW0YCvUgili1/iDyASSmmeE9JZ8r1CU9LsbxhEGZ71M7297oh1feZzwnK0DaJZRCw4pCTLNYeCQQc73qvrcuFlcV2GKa9QKumGa3rN6M035yHf75+3/ueV3mE/1immXtLR0zMs1Ku2e0/9Yhym16GoaJ/DZub1nTBQw3gtIsICAgICDAALFxkgVL1PJpQrKKpITNumDRi2nmimkWlGaVsG7rHO5+ZGula01rZ0phQMcQKX4nmWaNfBOrdzO5YSDGgrxRWTDRwDlvO7EgsIg1wXZyrJi9jPvXbwcAhYUwqpCtnpX4H/BTiMhYOFX0iM5RfM71bM2MMpPWrHic8/IMA2r+oe44TEPFuVg8T7rgjba8L9Mz5rHwx3c8FX94+0kF1pn4rRtuOEtieXFUFTMhpyWmGeWONssfDK14fGOacc5x5AfO9kubscuL7wMAlU2vo4gZGR36uKTdM5YUXhHjSX6NMOmTcygTTphncnAU2159hxeNbbJYYsqx3tRPqRoDdlk6jXPfflJWtyRNUVmq1890LBiMdQGp6SLGUtfN9tiGOvS5QRh+5Ewzc2Yut9KC3T/RrL6+rKpgX7dNZpqN/hgrMM1Sd+A2NvGgo67qiveSaV0y00oMaWWXnqMIfa6t0rw+fZKlkd/5XeSnXlDtemEMIM8F1LViznrtt64oWbGAYULpmGY6GGNPAPBMAIcA2BHABOf8ZC3NCgCTAGY45+u6LTMgICAgIKAfEC46fv7nB7Jjrv16J+YFQZQeVLqoRKMoHHT+YhE7Bnu6nuCJHzsHs+0Yq844pfS1JmEN1RexJjBmjJGW85TSTPalri/SqfQuOeozDt0FKxZPFTY8ooqyDtdlVbd5tq1cO8rI4mtEUaEfyjLNFhqZZppwU0vjsszWURfTjPJOlAhe1YyymGZjMB5M0IeCUCT5uHgqYwVrdr0J7L3TQgDAnWu3SOnzCygXsjZELOeM0DHNUkGbQRmnsygzN55Smu1zHUw2o77EWRo0VHl/c07P9d3YL9iYZuRxA0ssOWevCCPSqUyznOGgq32CoiQH58U+bylMs6JyNYtX1GMZuCmukChXzI0Uw15OaIqlBCBQzWqCzAgrw97Qx17uxkxkLPI3vzdMdZHXXFXAWPW5Yt2W8VKaZd4uGoJVxQGmjgSKCVwW/VS71cWGE2PaNJRiwghhFFH0hFEetnWBzR2vyTC47DisOiaaGoPWhLl0zrrxgU2VygkYDlRmmjHGDmaMXQzgQgCnA3gZEuXZSUTydwK4F8BNjLGuFXUBAQEBAQG9xk0PbsJHf31z4biL4UXttXTGgS5wpwTwRlaTUHQEIVIlzHbh2kPuE2UZTvRFR1GaFZOJcRRRTLNMCBEXsiaVZsRQoDa7JoGFUlcyRRHjwAwRSg+hBJfvuKz7noWTFNOMF5/zQrZ0n8njYNUZp+CAnRcby64i7PBlmoWYZsR83ikyOE0oZeGffuq5UooHkbcQGGyda6MMZJYapVfJheD09TqLktIfXnn3ehy2+7K+xagYVmSB5jkn1x/dCApNjGGzTqO6EDVTijnKiVIlamDT0xBGODJkJimlNMvcM/ZYzMuy/6TfUrliHlBjmpWrUxgV1SG33Tk3PYQLb38EQLlnuRDTjOXzk3yeytKk4J9oJCLJzD1j1ZhmMM8bB++6xHrtpXfldv1lmdmDBN1I0wQqphngZn4OMupaS7jmJMrd7ShCf5aqvJN9jHpI94zp585aKIDS7hkLyf2uF3OSK34fFaczYPRQSWmWsssuB3AshIGKfQT+V/q5AoliLSAgICAgYKDx6q9fRh4nWT3SK5ASNuubGF2YyjmwYdscNs/kPrFNSok8phl5OqCHkPuEWtzLkBlbT/n3c7HqYdUlpDhLCS1lppk+Dqj0tCCV+K5dqscdAvyVseMgz8ytnovbtLLuGamYZuDEXKDHNDOsrovx6czpE/eMyYmVS6bwzb99vLO+pNKMuOUg2C62lbBS97FWL7rBc2+8C01uEHIx5ONh62xZphnNDBKQFfsmKEozTbk62+5gzebZTJA5bqOozHOTu2ekz3cjq9GNMBZPNfHhFx6esr2IsqTvlMGHDfJ7KI+RxgrnWRqXSHnHhnkmAwfBNOuoz9p8GrXQbmiTz8xNJKPTUyNKf/uGoVAd8nN0+ar1AMrPH/raQ5DCxJrIlp3p/TbZTAXUmaFSN0wz+pyJVStw8+pNOGz3pQCGl2l24e0P48D3/AZX3r0euy5N4giuWDxJphXv5CyGcswV1iFjed92gzp0CXIen3/l0eZ03RcFwK3oyRXENRU4oOh1TDOmfcrI4y3qa+Suq+SFqabf4LfFvg4YHZSeChljiwH8FMAiAG0A/wbg0UiYZiQ45/cAENLHoDQLCAgICBgClFgsSmslWmmmCVW13zHneMyHfodjPvz7vHSHWwgqGHyAHS7Xgy7IfUK5HpMhd/EDG2fw/SvupZlmVoF00WKcWpg/76jdcehuS3HEHsuyYyojgJFliawVxY1nEw2nSKEc2tpmSOn/su4ZiZhmsYE5IsP0iOvDxmbdrZ/wsYikWFJCELt640x2bEhlS7VCf/5F23W0eb5b+YNJ4GgeI/mZrbPlmGZyrjQbSMxR9NVci7+VsW3TMSRONaI0ptmYScKr3K3epgLdrAN0N2h7L1+Iv3rCPsb0pnhkPqAYz0pMM0mCljDN8nPjOs9QVvWJe0b1uDxfU+sGKcOegjG1CJ1dKBQrJoUr5a5Ln3+Cl4V6wcDKsSQMaw89plmZLIXSTHTtRBeTmml8uO6xHXMsmEiMm8p6EhgU/OGWNQCAK1atkxR/9H2Ld27mhi51By8/g71mppbFkukmTjlyN+N5ec3z5VcfU7kcl3vGrGVHnF2k20RVeSpKxTQjytL3vKXXHRXqAwDTE0VDR+rSfN4rV6+A4UIV+4E3AtgFQAzgLzjnp3PObwPQsl+GC5GMtcdVKDMgICAgIKCvMFp1E8dOOHCl9To9tk0hplm6Mp+TXAcaBQM8P1/Wsolzjo/++ibc9OB4+t7uVtgSGxhZrphmALBswYTKVEu/0jHNcstPPWuKabbT4in8+i3HY6/lC7JjlPW2SfikMs2K90JhHITcuaugqBCTrqwlMsU0i7m7vb2ZZpmgw61Y8dk0bm8VmUmcA2fdsBpP+Ng5uPD2hwEEASZQVDCamWbutrp/w3bjOdFtBaKZB2tjW0n3jJEkPKNjmiWftv6nmGYCuRVxUs64jaIqj03MaQa6Ltg8/XmHeuepv39c1VKYZqUFhkXFPhnTLK2HwjQbuxGSQL7vjK0FXmh7eY3Z4ebW6rVcjzFmjWUllOxyTDOaXWbGeI6E7vF/l99jXLeUc8+o/hZzSBbnSaxFSoy2SY1Z5mKa7bhwgjyesFTpa1zM2E6HZ8o7n3ikgwhhoDnRiLJ7MK3VxS2KmGYdzhV2Oizfy6AOxZLJ8K+QTvr+rMN2rV6e43w8JooSfd1WxXjFOg9o+xZ5rFKsZOUi3/INXjlc8GWaiTYKTLPRRhWl2fOQrFd+zjn/dYnrRGCYAyqUGRAQEBAQ0FeYhIHU0U+9/Cj89RMT62yKoVGMaaZuyKj9mWltKuoVE9bGLmyaaeMrf7wTL/vyxaWuGxV0K2xRCFlKvJ5izvqxZQsmVOZF+kkpwWSmmS5d9V2YR4T0vMA0S7OWx6yvcHIcBFdC6NCg3DOWFKpMEhuwmHPSVasM04bT9OxTRznUjaPPvLF9jnbnd3ka90MEvRbVHwclqgn6UBBjQxe8UU1UysDfkFYeI/J3uZ/LumdkjOVumgznAXPcNs71eUU/r7ISxm34VFECxQammT4u/vbJ++Edz3q0V576+0cVWhXTU7EyfaGwiAhGkZKOq2uwcRsfNnBebDd5jRnHZgZzP4gRjPiuu2cs4/ZNr/M4v2u6wXcuuQez7RivO34/VSBcklFkimmWx8TKtGbe0AXUTUtMs0vffTLOf+dTyXOMmceHK0xaK46zOEbDyjQToQAaEcOGbQmfwbSXzd0zCqVncjx/79MK8PmEa/9TW0yzLMaWXQ4waO1TNwpDp0cxzUwGYUAeWyxL2yXTzBcU04yC7p4xjjl+eMW9Qx0XMaCIKkqzg9PP35a8bkP6uaxCmQEBAQEBAX1FGfdriyab2G/FIgD0hs0V04yKjyTy2UGzqMxjmpVnmokV6bjKHLpmmimKMnu+eh8vnmoqG4IseLAtplmnuGXz3aSpgita+C3ylsefP9PML90wQwhOJiLVdRBQnmlGKaoSF2T2fMxMM/9yAEl4CXUcLDBsDLcRSjPOKZeVYzAQHPCNaUa1VJkZXDzHepvbLMPFfFE300z0v+k54OC0C1v1I60nHT8roAhaaWZ+h7igryGc70gp+UTJgDf5HEQreeVjHFwZJOPqnlFGJlgkDKYUpllsNmrptbs1namSHWcqGykyTFo+piDhldM9ZEG0qc9MKMY0E0ozcT49UaKf9DlMZ57J2GXpNJZO00wzwDyHufZLnXgUmGZJvX9xzQPZMZNhizjcSOfxxD0jUx431X3u/CmImPZpTNdFHd/2jIOy72L4ucIkjDq5qOAhoEIePrFPqX7LXLVq2u6yTa5nnbMW7ddNT5Rjmol58QdX3It3/OhafOPCu8pVNGCgUUVpJpRe60peN5V+ljN1DAgICAgImAeU2ZhHrOjXX0bBHaP2m9rkiUNvftqB6nERE4arLm58IJQj4yroLnPb7U6MO9du0a6XlUt2RZPep7oFbOaekXJlFDEwljBWqnYVxQgoWmyndZUZId4Fjv4YyphmDVZwIVdGqX7pu08mN3ox54WxQ40bCkbhgDE9nWbxdDHWGmBQmoFnbSI2slmMRbrYsYBu9CDmd871Z6u7cnxddVKg+hMAfv/WE/Bfr3xssSww47yRlJl82p4DG2spd8+YivHH7J1U5nazedrEHiKO+RrU6IwOp7tYqTQbG4S8NlPCKhmS6TjXrfzHa3zYwDkvMLXkuLkmRiLQH6aZCcmapqg0I6tkYTSO2VRROxhjyvzAWDnhv94fYg2buWesQTHrq/TXkbxz6XMuhYqqNBu+QTbb7uAHV9wHAFi3dS47bvT0n54Qa7l2zBWjKsb81hYu1DHluNyP14E9dszd22cMeENa0aaDFvOtbpjcapeB7VEW7SfSqN5YBBNSZ5rV0+auNdJUk4hpRpQtjCtFfuu2Jc/eI9IzGDD8qKI0E8qynUpeJ9wyPlyhzICAgICAgL7CJKCabRd3ZIyxzJrqmA//Hhfdob7qdKZZgYFAKl2ST31dJzPNbBZclPIj83FvvCpA4Izf3IynffJ83Ld+W3ZMcc8opaUUpUXFqBajxeEHvRmxJKZZVQkRK34tLviTvDsW4fY44awbVuP3Nz6U/RbPaSLAUduOYoeawLL/VCRKs+I4Ua8tKZgmjnHOFUGXLAh5z3MPUdIuSZVopphm+QZRWCfn58YVuuJInt/l772Ky6ToIHSmGVEPGQfsvASH7ra0mKc0aClBgThmZJpxkEwzrv1O2HDhnWRCHPNsrok5/a6hCF++SjMb04yMnyYl14VZLmRzGbPPamI8yHPK9y67F/u+68xS5Y0C5DZgkiBXF2YXmCXz9UAx87uAQRY2G9J4CETHNb5dnSgqpfzXGXoXLZxKhMvLFiTsr0wA3kU/dRMfyMg0c4ytmANTQ+yecdXD+V5lz1QBdOSeyyzuGZNPXYEqx5Z02Df0HY5Qd12B8GhvRGb008P6DAL05UaVZ9pnTqdWBLUxzUBf76qXL9NMrM8KcaYH4okJqAtVHvXb0s/jS173AiRLuKsrlBkQEBAQENBXmAwN5wilGaAqt35y1f3KOZd7Rgp57AdNqBXnAjTbxpLaJ8kMiHFEmfu+bFViI/TIltxaTI2xQrPO8mPa75hrVnQJTH3YEEoz/yorUN2qpJ+GOsrj0deF5SiOoTd8+0q89ltXZL87itJMvWefZzgDozdQJiG4fm0Z+MW9ynHCQSuz7y8+es/M7RHlzo8jV5JckT4f3bo8HQXoCtRYUZrlc39dTVXIR3nW8x/yJt6mfKeVYgZmkJa3LfZnTMyRej0E02zchhF1v3c9vBX/de5tyrF2zLPxxHnCJtBBzS2+TA1d8aW8o4g6yrnqTDNXidR7iLqGgYFb2FLjBKoNOC8+s5fdlTsAStYNdOOZGKd1IXGtmUP+zhhTlOX5cSof+jsQXHV2CwZNUSKxin2gC4efuP9O+MDzDsUHX3BYkh/BGildx4psEg7zvOGjiBtmptmtD23Ovgv3m3vuuMD4vOgxzYB0LEhpamH11JBFbkTaO0WEskYWBgpGhSMvXDOK0O+/yjPtMpCRP6myuo1pZqqAS4lOMc0o6DHNBIJxx2ihitLst0iG34sZY/v7XMAYexWAx6Q/f12hzICAgICAgL6irDDY5m5Gt1r0YamYNgmdTGnGrRsIqv6iHuO6mCtz32LTpLCwpPPyRpRSfOjtr1t/Z+4ZDSuxBmPoxOUEh9SmTz6ujxexIZLr71veOIwg4fKqGUXpRi2/61JKM5g2hRwbt7fs15Uqxa98ZpirGAPu37AdazbNYKZVNA7gnGfBrX9y9f3psfTcWIwIGvpYMDLNKCVECQmAScBgZG1IaW3Dlbo+c5sIU0yz5NNkkZ8wzSSlmcFlVpRato/b+KHu95VfvQT/cfatWL9VNdQQfbdxe8vAdC/m3/A0gfeNaZbHAcnT64o5Vw8+uHEGAPDQpplCvmpZKdNszMYEBTLeLbjV5ZVuoFMHTjlyN++0iyZpYSNDPg+ZhM2kElU7OK7uxeuE/uyWWWcUGBWM4W+evF9mcCMzIvsN/b0jw+dVmynNOsMX00xeS4r+jSRFtQ5xXH9XyK4QXcrtfkEYjvRSaSbD5Z6RUv6PIgpMswoPdZk+k9/5mXtGzTin7BgoxjQT+divm2gwr7R6nOdRV6SOK6oozb4MYDOSGGW/ZIztZ0vMGHsNgK8imXceAvCtCmUGBAQEBAT0FWXXhrLVkr5Ia3m4YzTVQF8gzqWbOc651VUFJSRtZdf6lD96KKPnEOt0NS4PrTSh8qXi1skbAj14sA6x2a3SVcfuu1xZ5Is9sV5UYJrZ0Ukl/c1GcRtUxhKZgZGbrpgDp37uT/Zry24QKTcn2m/TBlAcfs5nLyDPc6ixczpx7l5yHMaDCfq9y89Tp1MUAlSFaSyYlaD5L5uSl2R6OIRlbqYZJxVlInV22ZgyzSjMpC5R5aZoxzzruy+dfwcuuK0Y5YAaF/5MMz+lWV5Wfl1VFsJZN6zO8yPLYIk74zAmlP5g2TG74LBTcd1gw+dfebRXOuHe7UWP3aNwLmIsVwLK8wvMa2cKYVh0CZbEaRVox7Eynt7xrEfjvLefZLvcnj2xdu4nTK86L6ZZY3iZZnJ7C3ZOI2KWmGbJp/IOYJL7OvRPSeVCtl/qk3tGKsaWjMw944C0T69QhycJWxtlhlmENw8T06xbmIxIdUSMZWXb6iDW+CM+FMYepUch5/wRAG9BMs4PBnADY+x7AF4o0jDGXs0YO4MxdhOArwCYRrLGeR3nfLaOigcEBAQEBPQUJdeKtgVTFavFfFGuHm+lluadmFvdC1CL3cw9Y+najAZMCjAKuVAYOOkT5+GkT5ynCIFNrhoFSKUZyTQzKM0illqMl++tZxy6i+5kJcnTwDRT49j4YRysvVtagOeq7hmT2FLFfvbZkJbdhxndMxqU+tR3WwDrrZLbxnYcZwKq0R8NZnTFNCtRTibM0jqZcsUq0oufVveMRC0iycrcFtPM9hxQ7hkFeGYUMp7CBhvrUDfOkH9fcucjxeuI/G3xTmUUmGbSO46uY/KpW3+XwenPO6yQn1JGWvg4zykC1OPFud3yveq6oQ6wwhf1pKiX6Zn/y8fvjf1XLsLLH7+XdBm9bgmoBgamuGVtdbiiRFu5ZAr7rVhkvt7x6Mssne+//gn4qyfs7V23f3n6Qdhr+QLv9Do4zOsqUa9HrTTfW840G74xJs8VOUPGzTST53IG9X2v6tOqzfl1MG+y+Gv9Ypo53p+50WM/ajN/KMY0Kw+fLqOSiLK6dc9oSu7qY8byGIeTNqWZYGyO40J2jNCschHn/JuMsWUAPoFEIfYycSr9/KaUnAFoAXgj53z8IvgGBAQEBAwlylpY6TECZFTZgGXuGbWFnWCatTscE03zQo6KISOUAOMqdJDvuhNzNBsMW2bbuPWhzTh67x2VtJnSLOZY9UgSYPvx+y7P83IoUIrsE7V88d0W08zHjScFOR6R+E1BZK+6Z/RkmlWq2XBBjmnGWBdKM9B94JNF6Q2ig0WWpKHnKpdwg3Ng80yuNOtYYueME/TntCNpHtomv4QVkCmxCscN/SkltLpnNCgutqR9fc29GwrnxbRlssj/30vvydxFNaKi4E530zZuryTqdhlxrt2Jlb5rdeLCXERZTFdlmrnn/yT9BGHy7ztVnfTolfjeZfcYr8ncM47ZmKAg90fezdzK8usF06wqlPoD6PD8e3Zc+rHbDtM4920nKXkU3TPWWsWxxI4LJ3BX+r3ViTEl7SXcTDKHsFn6ftz+O2F7q4PvXHKPV73e8vQD8ZanH+iV1gTTHCbmSdvarZkKxzs1vrf7BdWQL/m0K82STyWmmcQ0wwAZtIg+6xezS55rbfWpJebbAKMY06z85GtlmqXnyCQZ00w9Wdr7RsGdrKiX+zphTGAzEtJjmg3O2zegTlTmO3LOPwvgiQB+hWRYM+IPAH4D4Amc8290V9WAgICAgID+oZuYZgDwtQvuxBM+eg5anRi3SAGafZFb4mtKs5RpNteJrdZPYkMk7w+FAHdchQ6K0iP98cbvXIkXfeEibJltK2lFs8sCcVMcM2oPXohpxlXrb/HdyDTr0kWVzjjRjwH5dtDFhqEwDmNI9lWvK5TKzA96bIgsfw8GatktOemekUsKF6bl6aFczTPKFSlA0j4Z02wMxoMJsTYByEYSFLtURhWZiz5lmATQybhLlf8lO4gxhusf2GQ8L6xqW4YxfN/67fjy+XcmaSNWGCcqk5qNnZjBJnyST7VjrszPMYci4AboMeTjioxK51bkJwm2p64kq6AR0fOhAEPSBuNq3CODem5dTLOysVDrRK7YL1aQMTkWkMpuyb+7x61+axu2zeFrF9xpHS/tToxfXPNAGFNI+uGw3ZdlvwtKsy4VARnTTLCDLIN192XTWLlkqqvyZCQxzehzWRxOyyQXsUSJVNVgbT4h31Yer8zcHpSLeAamrQlpI5wyqEOv5GKo1g19DOvI5rH+VGfeUId7Rp8+o2LI5THNtPVO2fINx33WSCLF/isXA6BZqm2DQjfENhstVGKaCXDOrwTwfMbYDgCeDGBfAMsAbAFwP4A/cs7XdlnHgICAgICAvqOsS/tIs9b78Jk3AQB+ec0DXZWvr+uuumc9gJRpZlWaJRnITIeMaVapRiMAeVOZNotgUegKDMoln+I2y+J6TD8vrlU2BEKgYNhRRCx1s1Shtxhj6kY4s6yjFT+y0N9XWDAO1nTtTqzE7pHvuQx7NGGaFftZKMCt15aUEqxYPGmogzweqglCOLiiXG53aDdg+77rTPy/J+6DD77gcP/Mhxj6u0JhbkrHu45pBmGVa7Hc1X+nB0ozzRiwcLLhvMaHcdlgrGixLBmFJMyp0Z9PZJBMs7RNVXZ4XGA9TDUbmGnlxyjZDyUQWjLdVJiiSZlmY4D9CQHRuTevAdBdzB/ZNZzJ9WfgsCaQuz5jZcJuvR/z+XPPaEPE8vhKptob3XVK0Ndb7/np9Tjzugdx+B7L8IT9dyLz/Z+L78a//epGzLVjvOSYPctVfASxx465C8R2h2Oykc/13Yp6s3ks/W1zW3bhu55Ws4LXPPbFnKgbuciIGEMUsaGMaRYTxm+58qfIThXtpLNosnUGdIX2/CHW7qcXoNxSmkaB2C6OOtOs4J6xwmPh02ck0UwwzbS1TG3eNzwyErf7nMN3xWnPORjH7LNjIY147noZby9g/lFL93LON3DOz+Scf55z/lHO+X9yzn8cFGYBAQEBAeMCU1yZSYsLRR2ymwxOWAECwOWr1uPKu9ej1YmtefN0US8LNYViqA7rsWGELIYTyiFxRLcKy2Oa0cqxOKaPU+eBovW3qIvVPWNFi/HiZlcI29V0YmzIijLv8sZgCAkXnkCx7coxzehNoYmlo19bBoftvgx/f+KjrPlUjcPAObBpppUxXNtxLI1ztT3+5+K7qxUyhLDFNONVni0DTO4ZfbK1jVdKeBAx5nDxl5zzES42JaaZAM8n3mCPm0G8c/IjrQ4vtLHONKNakHqv2JSgAnJJ0xMNnHrkbsp5H0W/C7Jwiep7mWl2xB7LiBTjA3JtwblVENmJeWmmzOde8Vj8x0uPKl0/HYX4Y8o56bthvUyOh4KwXz2/OTXksLEf122dBQCs3rjdmGZcoK8P5zoxpiZkRXaX+efafwB2RgdLlVR1wvRKyuJwWp6NRpS892yKtUGFGptYCPKL75QsTXpMNWKQvRKwniqpykC88/bZaWHPyqD2TCYIY9TRj2lGGzuVga2NWOGLXFYC3Ti42zHpcs/4UsmoopMaR040Ijxu3+XkWlmMhUbQmo00Qu8GBAQEBATUAHUhl38XjBSfGCMrFuduSjJLQeK6tZtnnUozsdhtSYwYIXwbU50Z6b4kg9bMFENDvkLeeFNsC4p9Im84ssDWLveM5Fk7GEMpppmJGWPDOAyhVocrAgXdbZovGGh3ZHMebLWyLj4YA47bb7lyjMMsEGAALn33yfjtPx/vnBdinjDNdlg4ASAZN8E9I+GK1eDulG6i8gKAYowfKWd9Hks/bUJAk+LCZ4yLfD/3isca0zQaOdNMzzFnmiW/12yawft/fr2X69Jhhs1Vp/xuaXXiAqtVFnDL18mg1hteru/68CA3o8haFzEeOPrnjmtQYXLPaGqXZsTQict7SnjeUbvXwsCS3QAXz8nvHfoGvKz/tXsTTISO5X0qmFR1KH1HAXIztzRX790+czpLx9dVbB1I3DMamGZCaWZ7F7Ik3VAyzXjxu7hnWvmefBpjmkHbM1Tsxjp6f98Vi/DFVx2NT738MTXk5oam9y2Acm05itDvv5IRp0cbZe0or5fTwvTY7WVb3PSuMTFg//3FR+KWDz8bQL4G9oppNtpDYexRWmnGGPsIY+zpjLEF7tQBAQEBAQHjAdPieetcYgV7wM6LnXkskCzBc/dVxXRTExHmOpywOM8hFvX3r88ta4dxI1gnZIGgy5KUigWkbEodTDN9Y845tA1B8mkaN1GU5Hvf+m3WelJgoK239ZJEFVUhv98YGQclSSeOM4EPg6Y0LfksURu3XjDN0sKs+ehxr3ZZOo2Dd13qzLbVSZiPi6cS7+7tDi9aoo7DwNCgjwWj0oxom2oyF4vCwXCurHvGiDHF4MJ0jbCyfe4RuxnTykyzTHkmxQRhYNn77rSfXIdvXXw3Lrj9YXOFRwGU0iz9lN8tiXtGnWmmMsaodwglqPYZa/1YIihVI+uUxLjjPLAQlf7IBLlmplmzwRBz3jemzCdeciT2W1F045nBoM/X30HUcXOW6r2Jsd6Oze9ToWieHXFlvA8SxUje0JyrHjG6jcUjrrYZ/vUSpiWIqIZt7RYxhkZjBJhmmVKneE5PL78rZAMvfR/RDaYnIiyZ7ioqEJ5zxG5YOj1RT4UIqN4Ykh+m9awwZBlxnRnBNCsPMbwmCK2S7j1BntvFt0Ls9pJtXjQyE8dNe2+WrbHE/U9YWGRy7Gs5/4DRQpXZ6zQA7wLQYoxdDuC89O8izvlsnZULCAgICAgYFpjcM25NXcf4uEaSN3Ni/09ZQ001I7Q6sSOmWfJ5+9ot0rHxXs2RSg9DkzQkAZWAWYFWvL7APjG4uTBZsDUYw8NbZvHTq8sLjxljmiAqVfxoRYk2qCIfGIeIM+2YZ1a4+garlNKM0ZtrL6WZfylJema04ZfS0Pm7+lQIJYWArS25DxVXyoqW825egwc3zuCVx+3tV/khhZVpRggBqiJXtGvHpe+FcWaxNM+SkFrWYpxH7TSA/F5tctFmFGG23VbqmgtUc2YRAMy0O+k1oy2Nop41yro9cc+o9oMuRKJailSaIYnN8ZvrVxvr5ZrX6pj1XZbnIsYdFz/GGCTTDObnbSKKEveMNQn9L3rX07I1LIWXPm4vbG918P6f3wDAbKAD+HWlz3WiSX5z3YO4Y+2WbB1sMwoTBmazraA0A9Q25VBdvnbNNBPCY7HG7SfTDOZ3naiX7dloMDa0TDPKFXQWj5e4HSqmma5QVdeK1fqRMeDa059V6dr5gmgT0ygYF6ZZHUZxYgy63LTqEEXp13Wr1KeUxU5Yki6YSGQ7zcjtASBgeFHVPSMDMAngSQDeA+D3ADYwxv7AGDudMXYCY4yORB4QEBAQEDCCMC3AtswmQsCFk247FdUnfQJqMfnm7/0Zt6/ZUrTAkiAWtw9tnCkcG1fIt6/HNNN3R1lMM0nGIrefvPGmYiRQ7BP5SLYhsFi7rds6R55zweQiqYrrI4F1W+fwnM9eUKk+w4qYc+W5VsZPzLFi8ZT1GRTQ3WUKtDRXUYsmG1i+SF0+l914kck5Nwo/yuQvngUhpOzEcWFTPScpWv72m5fj3T+9zr+AIYXeBrKSQ2Wa1VOeSYgMmOcT29xPM81ype4bTtyfuEawOzgiZp9bGhEr3LuYHjP3jOnxVju17PV4roYZpHvG9LmU3ydz7bhg1KC7ZaaMoE3rEZcC22VYU5fSwTbv5EwVPvZMM9LzKjcLazOmWU2Tze47LMCBuyyxplFqoscfk1Y9Powy0q2jHictzfKN370K/3H2rTnTzOaeMX1m5gLTjHS5Vib2sgsFplmfpMd7L18IzrnRCEzUw+WeMYrYUBoYUu7nbU2fu4inhf26Aq0bTDajWsdYXZDjOMr36hqzQqk66ooR3SC0K6YZsVARbZ65dJXXy9r12TVdMs3ytaf/tbbx8JnUZehhu6veOoZwCgmwoMrsdSSANwP4KYB1EJ41gCkAxwN4PxLm2QbG2DmMsfcyxp7CGOsdnzYgICAgIGCeocSQko5vnW2DscQ9hQuySxDdvYaMh7ckxG55E/LXT9xHzSvNqk2w18YVSkyxtC3yWDvqCpd0zyi1H+UKRYa+6Y4lVo58jcl1TcQYbnhgk3LM12JXpBJjUneBYYOJbfTr6x7ETQ/m9RmHDUEcq8+13DadmKMR+THuTO2uxzQ7/51PxX+98rHateV2iMygwGBaGgquPhXCfJlpprvd0xWB4wBdDmuOEVjPQyPGxCG7FV1q6pt78aus4TyT3DO+4Kg9iDokSJ4D+xhtEEJIRZiOPOaZEGqPstJs+1wHLeJlLLpObqvtrU4hXZFpVmx/3eo5yZ855xPXHCCYgBSqCBCp+iTxPMdDKOkC6fqZm5+5ZiNKY03O7wuaVH4RhhsvOnoPLa2HYY82j/7imgcA2JlmYj4Zh5hm6x3GVglTUW1n2eWrj3GVDTq7yRYPqE5Q86eMLKaZ5dmIGEMzYlYF7KCC8oRhm+9Fen1fke8XmNGDyqhg+SJaPC3axBjTLGPYj2CjSCjsbSs8FqKNGpZ5gByn2RqAXtNWRadE35m8O8jYeek0Fk02JEPnLisYMJAovSPhnF/POf8vzvmLOecrATwGwD8D+DmADciVaNMATgLwQQDnA1jPGDubMXZaLTUPCAgICAiYZzzt4J1x0qNXAlCVH7p7xoS+715JyXt+k2sCGbLS7F+ffbCWF8fW2bYSE8u2WRwH2JhmetNQsQBizrHDwgksmmyorjSJZtWPxVxz1SYECob+pRgjztgQ4rRQlmWHhTVf8rnTIrMzANMQ0QW14zCSYs6zcVBwbWmJK6ODMUZupOY0ATQD8KRHrcAv/unJ0rVlapwvwqk6CKgKfv8COrFQaOSW/bqAysfl5KhBt1yX3XpSLpNklOlenUEqHkm5DFPoBbt7xiIiJrvjJJSw6aF2x/0cNGWlWaZkFeUwgMnuPdMyR1hpdsj7f4tXffVS43nZeGaGUJoV+phofnnd8NJj9syTOgacLiTTR03dSwiTcoXz5G/UhZIuyHOLrBQQ/bt4qokdF+aC34mIpe4Z+1rNDHpvkUw5JPey6oxT8KmXPUa93qFsA8wGAB2bVVh6zewYKM1e+IULrec519uUK/GGun3i9P7ql3tGBqSxEOkB4uWeMWKIGBvKvVJMGOtQLn+z9IRSkzGmrg9rmH/rYqv1AiavC1l8KsNOZ2yYZt3rzLI2ss4DlM7MmF9JQ8ICU9lusErBtQ6p4zkJGGx0F5ERAOf8WgDXAvhPloyYo5Aoy56KhHm2Q5p0IYCnAzgZwMe6LTcgICAgIGC+8aW/OiZTXCkWedIibUuqNPNZU8kbNbFYryo0ijnHi794EW5evTnPcwg3gnVCvn2xwdRjMgmITZPq8gTYbdkCcM4V5QC1CS+4Z+Qq0yxzEWFimhHHyzLNdCF7/mnOxzREJpr0xmOUEXOtrWSla5woC3yaIVFkFdu8pVkzZ7HnKrpPFHkU3PdBVaAqFv/07ZEQQ34ytUpPYprlyufvX37PWFjy66BimjUbSVyUTsyxdvMsVi6Zqk3RnCvNknePnG8h/kMmaLdlSB1i2RxGsb5Evr5MM5PBcqozyyAs/PvFTpgv3LZmS+GYuGO5r0ilmfaAU2sEMqYZc88npnHi0xtVXgm0gj+PTTTao8ANam0hv5cYgJVLprB+WwtAzjSrK6aZFwi3iyYGYZZOvhz0cdMx09rDxjQT52aJ52nUcPcj26znOdTnimvrHBGjpypEP4veoFivvUDuHYI+L15jtmcjYqmL0yGMaaYaXYr9ozl9FtMsUp8/8b7X3xcjORcb7s+1phFjaCTbRIJuBNdNTDNyHkgbMHPPqJRF51dWB08ZPJbNx2cfxjlw/4bt+PhvbylRu4BhQa1vMZ7gz5zzz3DOXwDgKQC+DqCN8TBKDggICAgYI8gLKZNya8tsG9MTDU+hE+Few3Lhlpk8QHtBUM6hKMyAohuxcYPinlFzy6hvBrKYZsrxnHl0x9qthbxk3LNOFVzEekyz9JcpBhFFtPBnNonPXLAm/7aROEyLNV1wPg6LOi7FAhOCXIF2hyOK/NrBJKz225CW2yFSG8EnH7BCm6tKZZlBCAomG8JiO4+3xDnwrz++Du/7+Q3VMh9iFGOa8Sx+wyu+egke/5Hfg2tK826QPceZ8izvUNMcYY1pRowxxnKlrs1VYodz4xwmICvNslkwE1yo0hLxTIwjw0j0qyzU3T7nVppRLaUIQqU5zGX1/6zDdrGef+8ph1jPlwXJLErddRYZMeMHUmkWqwzoU4/cPTvXbCQsmfl2z0hBNdagO9Yr7qrhuM2lnhCUDmK79B2akkxvkWULaZd1x+233Ct7kbN457gUEN0iV9QmrxWXe0abPowxhgZjVgXsoEL3igHICkxK+S76R32/y/1Vh5vKQZ7DTVVrUFocCXNjsk7RjXaqjAahgLYZQuUuXYuGw4W0ZV3Wa7/LuGfU62crg4Pjzd+7ulTdAoYHtSrNGGP7M8Zewxj7DmPsfgDXAfg7JIw2MdrW11lmQEBAQECADzbNtPDX37gMD2zYXlue8jJKdWmRH59pdTDRoN2z6RCLuZM+cR5O+8l1hXxPe47qgnHrnKQ005aGplgY4wzFPaODaSa7HxOIedIf+gLaRxCTMM2KSlGTQIFa0Puu8cVYyJVlUH7bNgsm4XpBcD4GQ4lDigtHPF/eSkwtNoSASTBjYoL5FabGLXrLyQfi7c98tDFujMI0c/SpGOdZTDPCPeM4QhdsxzHP4jc8vCWJL5O4myu2VZn+FZfrz7HsyrCoUMmV/ybZJVWHiDG0LfHFRL7tmDvd3DQbuXtGfb6NWCKQEL/nxtSygxMCT4COaab3lzfTTGKZUl122btPxsdfcpS1nq89fn9MNiPsvXyhs14+IAVgqYFCwogZbaGkC4p7RulZlg1j3vS0A7I0E1GEeB5jmtn7ixHf3GyWokEYfW93rC2yNwU66bwSXlcp81x576uNssMCWmn27dcch+s+8Exn/vp81M+YZpxzM1vWY4JqRIyMwTkMoNz72x7HzD2jZmAh91dbcnk66i7oaPeMNASbaNTbZKatG/aVz0PscyhPKfre1Kuskk2u95FP6AsdzqQsyXfN5hmpXO/sA4YAXSnNGGN7Mcb+mjH234yxVQBuA/AVAK8AsBuSYb0JwK8AvA3A0QBWdlXjgICAgICACvjlNQ/gj7euxSu+ekkWOLxbqHGC6DQJI4V5CX/EJmaV5F5FXtjtseMCJf02yQpdX6BRG8dxcKlng3z3OdMsPac1jWh32d2cSfDs4wrprrVbcYvM/NOZFhqo42WZZpnCJ/0UBqVWpZnheDGm2eiPJb2/5eenHScMG99nqurmurTODOpcsOeOC9DQ5p+qmzmx+RVKlE6cC6iGUchUF/R7l5Wt+nEdVZQCGYM0vVSObWl6DxVcjSp1oMoAWhmz0OxWpxPHTuFDM4qKbZT9ZClDIDkgmGbjML/IkFlVbqWZphglml91uSWvU9R3goydl04rY8mEGz/4LJz39pOc6WywzUEMAHg6RsZc8EQZVsRcMoxhal8Kpllf3TNaINfCZAxiUqDlx2ihp45vXXy3sR6iHQejVeYXXHN7WmCaGZRmk80IS6bpcwqYKCf57Ld7RtOazEdIHjFg3dY5/Pq61Vi9ccaZfpBAxU8V8wQd06zIAGLI3x2MMacbeh8M8hRuWhPlMWnt1/crXt98oNWJ0Yk5XviYnMlcZV0mYk3anj/dpStgbvtulVGH7rYU/++J++ALrzra+xpnTLP0c11qJBcweij9FmOMvZIx9lXG2O0AVgH4bwB/DWBvJGNmK4CzAPwrgGMB7MQ5fz7n/NOp68awXgkICAgI6Du2zSbCp7sf2UZS6L932T14xw+vKZWnvIxqRIw83kpjH/ks9CjBs3ydbvG/dbYNE6i8xlmwDaiBsrO9YMZ8UNtGLJJnO7LSLNlk6V3ps5f87Q2r8Zr/uSL7nQjWzUJuaoPhuz8TyXQrPlnQZoTnRmUchpJgFgIouGeMY144ZkLiFs2NzDjYIFz0gZ6eErCrsWX8C+hoSpRWzLOBMA7jwQSZHMVTRqn+rO7/7l/joU31COH0HpuSFB3GmGaxjWlGK+gzplmzeF4caXdyxqVtLisGlBdGA+qzJZi94zaeZPaHrCiZId0zqr+pZqfYf4zRlt2//KenFFjsNjQbUW0u10xKkoRpNtgC135AXrMwlv/WDWMEkphmfmuSuqAqYNT6yVDi/pZxjaX9rnJruWeBMZtYCOgxzPQmWWpQmvlCdwnYa8UCkz45zPscn2owxvDI1kTw/d1LzUrYQQTtnjH5TbUIxbhhjClKTjnurokF/vGXHIkdDS49Bx3M8MulJNkzNWAdZTbRbGoweujuS/HZv3wMgGrrshWLpwAAL33cXoVz+l5VhoksWbbJ9fRRxPDBFxyOfXZa5J2Ha+5gqQHlVmK9FjAaaFa45jtQ17HbAFwI4Lz07wrOeRgxAQEBAQEDg07M8ZFf32RNI9whfuKldvdEMphBCCB/b7XjTDDoAhV8Wo4Xo1v8b7Ms0Ki84vH0fEWiYDWp/RTNLjPNhDC8wOqrIKFKXCwxC9OMOua3XSgI1Jh63CbwNFkSmpkiowvFDZZ2rsM5JqPIvx1K7PQUVlhp//3qFazwxW3Zb4IYAxNNwTTLY5oNCrNhPiA/G500diH1rOoxJqsiH5PJl8lmQzpHi4HEfEOJz6ghwJAL3kn3jGk5nZhnMRIbEUNMxEDJXB1Jcd0yS3gmmGbJ77kxdaMW89wVofw+oZhmBRecxFiTFanyHBZp7wIAOGLPZThiz2UVa94dSKUZUuUGB1h/SCoDC51pJuYaWVEgYyJimJlH94x6sfJv07tMZZ25X0hV1luBaZZDVtDLeO4Ru+LX163G9ESjeLIEMkWNUMr00T0jYFYYu9wIA+p+yxbLcxBBuWe0re+yWFOSkowhV3J24lhxT794ihYbv+xxe+EPt6zBr69bXa3i8whT+wj2nWk/JNp3lA1RRTyz6YlGrgivcLs7LJzErR9+DiZKzgPCwGH5oknleFmvHXUoNp0xzTwNKAOGF928DTiAi5C4YnwR5/wMzvmlQWEWEBAQEDBouPa+DT3JV15ImRQR7ThOmGYl3DPKkDd6+ibun6RYFj7uGUNMs/y7vtnR20tsEoruGYuswSobJ85RcKVHlS/Dd7NQiGmWMcySz4YlH9Ot6ArXcRhJXItbJrdNu8O92RY6u8sE0S9dM82I602KMoolYIIQoAjlvRzTbJSFBy7I7IXXfusKcO6v4F44VV5Aqeft41Iv5ma9Lc32yb+TsSjSz07qphQwvwMpV0fiax7TLDnSGtuYZnmbywroLbMeTDOi2YV1t3yeSZNDL2KFlcnRVr4QQFExzcaNKSSv2WRFtnCh9/oT9lfSD4p7RtucYnXNadLgS6hyZ3HGNKtw8YghWXvK65qkUT77l4/FtR4xy1wQfSiauudMs4zpnEwcprWIbd0rIHuS7FcstrogP/MZ4zNzz0gYURJMMyBhqwKJolnENDv54J2NbjuT/C0VG2A6lslteSMdCKb7Eu05yvNJpjRrNrruwslmRO5fdVfjFI4/cCW+/Opjst9lp5Nu4s6Z2G6FMiqXEDAsqMI0A/Kx8UQAPwPQZoxdgZxtdiHnfLgcAQcEBAQEjCzu37C952XYYppNTUReqypKqSXnK1tqvexxe+Jlj9sL7/zRtQCKQihq4zhuAicdslIgj2nGC+eAfIM9286FlnGcurjS2pogV3jUBakCjh4Y3bhn1JllBTeNlnxMt6KPzXEYS3GsxgCS77gTc+/NmEtl/sVXHY1WzLFjalFpUmrpOOufT8DCSVXpwqCOTyqGkeKescSGUjwzU80Q00yGfOt/uGUtlk43yWdVb6J3PedgnHLEbjj+4+d5laM/xwvSvrcxL3Lre25U5FGjkzGGvz/xUfjS+XcYhB3JZzvmmWGHSSgp5rKY82yezd1HqUwz4Q5q7GKaIY8zJM+1qzdSaxe1nal+pdgispFGL+SY1XqMes8xcK4qErMyiGOjDF35JZ6b6ckGVp1xSiH9RCNCPJ9Ms8JvVeknf+bH7R1aVJyWr5dgmo3ze0qAgyvPkGiRiUZUC7sqZ6UUmUy9gGr4Yx4ffjHN8jTDFq9KXpOLacPmnjGLaaa4Z8x/xzHHbssSN4TH7rfcUXbFSs8zTGvtzNDHcF2+7u1JtQYCM61EYTo1ERWe6bpBMdnE9ygCnnXYrtnxXhj8uOBjBKc3zXDNHgEuVHmL7QTgRQA+B+CG9NgEEgXaaQDOBrCBMXY+Y+x0xtgJjLFJOquAgICA0cGaTTP4xFk3z7uFZ0AR/egTVRCdH2/FqXtGjzyoBakssJyQXS45cqSEA2NqxJ9BbpKOZnmsN5fY5yvuGUErSqpsJGJBNTOAWqR7u2cUn0Jhkl2ffFrdMxqZZprSzKsmww2Xe0bvGHPMLujdZdk0nn9UHmxbtX41X/joXZdgr+ULC2VRv72q6uhU8cxMSDHNxNgf5/deUVDsp4z8+xMfVeg/E9793IOxy9Lp5EeatXBbs3XOHNsyq5NN2WA4/q7nHEwK5mUk7hlTpZmDabZ5po1L71qXVkgqm+Xzjj4vjwvkOEMyq/fBjUUbVB+mmZYi+5BjNA4CTO4ZY85JRe84DQuuMcYYY9m6zqSgbkYMdz68FZ8/7/a+1DGpl/SDyw+2nq5owKFf7zMuq6y3RDu2q1g4jRgKS88eN0m/lE/5/EnfkM87WVWaDa97xmz/Z/Uqkc4lSv+wjGHXjjmO3W85fvFPT8brjt+fyCHHK47b23huQF41JEx1c+21MqPLEV6oyO4ZRWv06m6p1jYZTvVz7ZLtnR1TgewtIWA0UfptwDlfzzn/Gef8LZzzIwHsAuBlAL4A4GYk42sSwPEA3o+EebaeMfZ7xth7GGNPqq/6AQEBAb3Dhbc/jNvXbPFO/6Ff3YjPn3cH/njb2h7WKqAK+rFRNi2yW21uZRTJoATPcr4T0spNX8RRFtk6xt3KlgqULY7oLSPH7MmvEe7EzPn6otPhVmECFX/BX0nDlPSqey77htB0L+Po2jPp77yt5A2yUBasXDJFXaog0QuY23xCe5i7cs+IovtQOR8GdWyVyV6MAaE0S2KaCQv+cvUcJRQeDe7eZH/m5Y8pVcbrT3hU9l2MpR0XJkqzbYQLPz2tlWlWQQgh8m3HcSZ0axpYCuL4P3//z9iwraWc83VdPOqQBdkK02wTpTTTlA4lysnZPvPb5tYxlypROZFunNYw+pw6PdGQGCQGpVn6rF14+yO9rJoRhalQOuBjwEGzXtXf/3vZPXj2Z/5Yql6CaTbOxh0ylHVNj/IW+frEEqun3GSNJnfxKUfuln33cs8o77eGzD2jPDdmOjPtt4zE20VxvZnHNEsuOnLPHZx9eOJBK/HB5x9WterzB+XeJYWpiGlmeN+Mg4eF2dRgdEpyrVj37eoGnjLyMTx/z2FmAuKYOxiIeJ49qVHAfKGqe8YMnPOHAfwo/QNjbGcAT5X+DgSwQPrN6yg3ICAgoNd41dcuBQCnpbWAcIfzEGEZHDC/6AvTTJIXypaO7RJMM6qaSmDqppmBoufvcs94/f0bcfgeyzxqNTqQW0Sw7rjBYlDsEZU4AZwjiqIi66gCg68d25Vm1H7d3x2gmr4Q48xmfWo4ro/NEd4rZkj6O/2hNZlwz/iTNz4J37p4Fb56wV3GfBijFVkCBQW48r3chpFpc40+Bgr5Sz9cXSrmNRFDK4lpVqp6IwndwjQRRtn77YWP3aNyeWLaWL4oiTHiwzRLxiswPRHhuYfvppyrIpJg0vzoimkmzt/60ObsmHg/sTSvUbbY9gFHrjWT1w8btrUw0WCZ20qAMpih2/2K9z4dEWP4j7NvSdIh77dB8TxGVSOPw1M8N07DpK0FEl001cjWI6bpZUC6tdaYZvqhX137IHntpMW1oJhvWnpw1jEE16hmdc+9WR/26VnVx5W895HHjs+cJw8hkxHIoEJei4k+tT1rwpBG8ZICNabZqMO0vtYVv0WMvrHYrMQ0Ewq0XrGpSHfm6afJe0Y/4VrPMxaUZKOO2t8GnPM1nPPvA3gTgNcD+DoAsZtjGJz1XEBAQECt2DllHKzdPDvPNQnQ0Y/Fv6zc+p+L786+tzrcKTSXobsWka+T4w0UXTSpB6hblo+d+rk/+VVohEC6ZyTOAfkiWbb6z5hHusuoCkKHdhxbN+WUANo1hnKlWPIZaZ953pZMTJaVhQE1ulsE0Z86O0e+4zhO3DPutXwh/uKxe1rzS4TV5s4TblCy9Iz+7gOTMt2UZ5mYZrl7xuQa4UJt3FGwMOWctGqvS+Agst4hZZo9+VErLImTjziVk978b8/BpzSWW5VA6eKKtuye0ZBPIx0v8vtLZsxQV43bsBL9AxTXK3qcIb3FTN23YvFU5sIzSZcLSKv0uQvdKF/1Y5xz0s3pKM03F9y2Fg+SMesS6MZeCyYaBpdq8wt5PNqs7bOxZxkpNmVbNxDeJoJ7xpTBqf2uE26FQ2/AwNKYZpKBgTR4yjLehjmmWcbyE/dv2A/qSjMgn1vKGpuamms+lBy+UNbC0vHsXgxNIJpmlGeTlrTez5qjbqZZpvBOvjx+3x2zc1wyrFKumZeYZq4UDOffErxMjTJqY3wxxhoAjkPOKHsigGk5SV1lBQQEBPQT7U7ifsglZFixOFGarQlKs4FDpw/Wpabx0e74M82AolBIFo5MKkoze450TDNe+D1IwpfeQ95UCoZZfva8m9fgfT+/Hue87UQyMLGIcaW3WBUmY8fBNKPGk3dMM20jou9abfmY7kS/xxGSXQIoul5sNlgiyM4EfVAapy0xbHxCX9h6TrCUqdRln05dQUe5xDL1v9wG/++J+yjKf6AYOL4Tj944qAJ9rk2E/b0vtxkx/OHtJ2HXZdPOtAlrkq5UpaqmF3U6uWLZFdNMdncl5hNxSVElP14DS59/ZMhxNQHC8tqRN9M+fa7JK+absBpId3yiWM5HVnjAOcerv34Zdls2jYtPO5lMo4+DJKZZ8r1OV6t1Qjy3VDUoA47kt/y+q34DtjlD7AFa4x7YF2Ida1Z0dotcwN7fOTxRtuuKWvm7e2zJw0M3Vhh0UO7nc91Pfu7Ku9djzx0XZPsZuY1k94ztss/KfE8+NcIl78ndko/uOiVnK7K+KMJ/85bjseeOC/Ly089BYJq53kuMAfdvMBvABAw/Kr8NGGMRY+zxjLF3MsZ+A2ADgAsAfAiJ0mwBcmbZFgC/BvBOAMd2W+mAgICAfuKA9/wG7/v59c50wmVV2JQNHrphmi2c1AXaNEwCw1aHjmn22qfsR6bXY0cpgakloaMrrom8YaXcliR1G6+xqtw+4W7w9F/cgPvWb8fqjTOK+zEBYZmpL9qrxPtqOWKaUawN75hm6WgQeRQs9Sx5m25Fv8dR2yqqQdTFJ5fiwqlt1om5l+V8cq15o/fCx+yOw3ZfVkhPffeBXlZWN4NFrQlve9ajC8fEPNpIhUmBaUaDc38FdxXIAox9VywilK45RC1iiwKiSlXzmGYS08zknjFTmuXbzuz9xHJhp4xxG1Yyq0p/pvT1iz62yhhTZEkrzCsuVOkyM9MsVz7//q0nZudGZb4R7q4etLhzLxqq8IKyWcd8x6qzdU9mgGKpIu2esft7GrWYZms2z+DTv7uV8ADghuadsXYDBSa9n/oB3f24PEfIc6OPDkxe5zaHLKaZvJ3LXq/ELbz4ixfhGZ86P1unyJ5QGFjmAaOuR2U+56QL3vlU63nFkISopunZEO07ym6lxa1Re966II+NQ3ZbiiXTE1IF0jQV1zt1oopt8XDNHgEulFaaMcbeyhj7JYB1AC4B8DEAzwSwCLmSbCuA3wJ4FxL22Y6c81M55//BOb+yrsoHBAQE1IHb12zBxu0ta5rvXHKPM5/RXToNP7rZKPsu0EyLqlYcFxVcDDhsj6XKsYks8LB6vbzRixjLFC0u6yv5lickIbdStzFTmlGKEQGe/hOg3DPy1DJTR5V9U8JmKueesSzTLFf46PmYyzNtAvXjo7ZXpKx0bcKldhx7xwdijBkFB8cfuNJ5bRmY5gXmoTWTu5SKDyPm0cngnlFB0SUZ7+nG3mQEYUPmWpbKr8L2XjYqEAw2kxGAOC4Mi4B8Xo3SZ2NUmWVz7Rgnf/IPOP9Wu+seHuePpWu9UnTNbK+DPAfkin4/dNMvuy51MyApiPEg5l/5XTgq082mmWTPYYvDRY0D8R42skbnWVJn655cX2s2+KKq73tPtrEh5spRidP0rh9fh8+ecxsuX7Wu9LW9ZkLP1xhkLJk35C6W108+7+TS7KoBAlfWsMlnpsDUhv2mmXbmYhyQXKcyiWlW0kPLMCoJKK8MgMyWpK/LmGbDO1yciLM1mmSo1cfpM2OaacfnY5y59mHDOPYDyqEK0+w/ADwXwFLkSrJtAM4G8G4kbhl35Jw/l3P+cc755ZzzEZ5SAgIChh1P/9T5eNmXLu46Hy4JWgMGB7PtDlY9srXy9b6LIbPLMygu/V53/H6462OnFNIL4ck967ap5WuLeiFAKiri1N+yBepEJITcat3GLb6DLADUhYHyc8vAcr/+UhtllplavlWUsq1O7HDP6HfMhty1oHohzWKzWwfrsoRRE3LLCgjRn3JMMwbdVWf+LPr0i6mrZUWCgEuIaIOunqMUpz7CI8o1Ue6eMTnXiXlt1sjDDGouIZu4trbyF2CIOWB7q2Pc+MuH916+sFRNOpxDGOSbBPmNdLxQMc0YDEyzUrUYXDywYTvuWLsV7/uZ3VsBB/dWhpa1vJZnhEyB1gPJtp7jj//hScrvi097Gi59d+KK8HXH7w8AOGKPZdCRM80SN3Ly+2pUxsWm7Um490VTZpYo5RJ5EN0zymXOtswiH0a8i/Tf3dTfNjbEWndUDMVm20kc1LkK96Mzoeves86HgB3Ix44a0wzSdw+lmeZZYpggvzdy13rpbzJ93iZyO+Xut8s1wEG7LFHKHAaY6uq6B9HUo2w0lq/RJAFGH9/AsntIGfMxvtyGkf2pR8D8oWpMs+0ALgLwBwDnAbicc96uq1IBAQEB/YJ4Kd/y0GbyeLm8aqlSQM14/89uwPevuLd6Bp6LIVuQ6UjSmuUuajSlWTPC1rkOnvWZPxavzaqSMM1m4V7EyfsdU2DnUREg+EJXeijntLQZk0JjIEWMUFBWePhF3CwTumOaMSUPXVhF5eMSdBTcM47YfCdbjMpMM9kCV0feju5+MXXdFKU0o0xePaG4YJMy8FHEcWLOkCGmCzFuOzEfafc0vqAUPr2MFWkThJlw2V1+jITvv+EJaLXdOYu7k+NiuphmckwzmTHDGBHTbMzGVcxz5ZZLWFlVQJMsQ4pCUq9rK9hS68YZuy3L45WccNBKrDrjFJx780NkPTnE/Kve7+qNM/jGhXfhg88/bOhiDskQTLNFU2ZRjBDg/82T9sU5Nz8EDi4xNOlr5ts949ZZTRykuAkvvouKKJ71vSPbOkw8U6NiKCbWHjpz7qLbH/a4WvWYUHeLiLHZN4UCyz84V9dy8lp3glhr6ZCNDYftHRSn82XMJfeMlqdHxDQDxLOZ/Bbru7KszGP3W44/vuOp+Px5tyt77vlUKMhl/+HtJxXPK9+LFXUxzYZrhJRDLClee6UIt40NI9OsnwNKGKk4Fkzz/d4N6D2qKM2OB3AZ59zuyywgICBgCLC91SGP60ILHwFDvoga5WXU8OGyCu5LZPguhWxjRBZWMWmDJ0MwTvRFqWopmS/eXAoUecMn3ADqm8AqVqrDDPn29bbQN/iifWPN8pQRTLMqcSVaHZ4xMCjY2GAucE2wxrLj6W8im8w9oyPP7LdXTYYHinvGOD+mCJf0ZzN7Ft35mzZ6U0Q8KtdG3qM0qdxi+VVdB3bShpHdvY6yexpfFAQJvHobU9hh4YTyOzf69VduWdNIiRZPNbFk2YQ5cXZNcTyZjADE3DLZzMe6GpuJjSzTzN+1XD7XuN0zlrO8Vlmm4ljvhTxe8yKlJGFMYlUxRQH9np9eh0vvWoeTDlqJZx62a32V7TM2pS7hF1uUZmIcHLb7Ujy0aQa3r9mSrTWMng3m+cnZMpcozUimvPjUx6/8nbot73WPeI6K6YUCYFTcMwpDBHntuXrjDF75tUud11LvqzoxX0qSiDHMtmNs2D6XH5OW2DbPDgItZb0/XGMl5okBS9zJ3WbnsYqL98J57lo5j3/MMk8CVW5/750WDhTrRtzDHjsswL4rFhXOG5lmgs3vyHfYFKtloMQ0E8fmofxBgGtID9KYD+gNSptocc4vDAqzgICAUcCXzr8Dh77/LPKcK/A6hUF6wQfk2GnRZFfX+wqXKCWHgBxI1zSWNs/QhO1IE07mzBdK2JR/v+Ph3CWlEDr9x9m3KulbI2J16wvFPaMupDUoK9ua5alu+Q5Uc+PSjmOFeaHD1b8+MLGkaBZb8mnaBBZdRY3W2FHcM1JMMyLuUh0CaCqmTRV3VSYGay6ozNOZ8nT1aMY0y5irwydY6gWKMkjupTDwxa/ffLzy2+VKVYbP+JEVF2XjJgL5fPLWZxxEjucsppk03+XTiRiP4z2O5Lt3PVP62CrDQDYZ7fQCXvOiQbnCOc8UifL7SryH+mpt3gNsnU0M9hZMut0zNiQ2pizIpDAf07FcE51pJlfHZ+x126vP+PQfSVZtxjQbESuPhuQiWWDbnJ/TJ87V56duRaspjlav0NDWuWfdkLNX5fv0YX93OjGedvDOAIZvTy+vV2WWEFDCPSPzUy4+Zq8drPWQMdgzNaO/OvZDWUyzIRsjZZB7A5CZZv27YTEvVX3Vv+Axu3dfCc893mCP8YA6MLx+DQICAgK6xPcuuyf7ri8Sf3HNA8pvFzUbUF16URA+6AP6ixWLp7q6vqzQ2pSHtCch8zXVUx57iZuE9LjFkhcALpcEB6ZN0DAHva4ChWlGibqlQ5SloYhxpVvHV3XPaNvEU56nnAt3AwOBaUIFSuDmEihUids2TKDcM8acZ5bKNveMfkwz+vjUBBXTTHrm3VkDkPz/a2VRLrF82WtCeCQglIky02y0R4UZp/znBXjKv58LgGBhcvpZrdpWu++wQPktsq7CcKWgMpE8FTDSdzF3PO3gXXDrR55TSNtIlWVNyew/lphmiZJEvWbYBJYmFO/LLIQTY+a9jvhn+vPrZJopn2ajm25RJU/qCqEgEuflbDvSPDfMEMob2/PWlpVmYOBccs9okODM93MjlGbUOya7V+2UGreXMBYqUf7ta7bgw2feWDg+au4ZqbhTvnfGwZU2rd3lWr3ZOSHagh5zxXQ2dDjwwecfBmD4FCKCaQbI86f5noW7eUA2Dss9k9jws398cjdVHRhUfQ2OU0wz2ei3n8+Ej4tRGz79ssfglg8/u5a6VDGCG3K7ngANXSvNGGNLGWMvYYx9gjH2HcbYz9PPj6fHl9ZR0YCAgIC6scOC3AWRHlfmnT+6VvltYxH54LaHNuPR7/0tfnXtA+7EAbVimhBKl4Fvz9uUDhTTTF8I/vUT9zFcK9VFYpo53TN61G283TMWz8nuCynBtGyZKaPKxqnViTFhc89oYYP5wjRGrO4ZDbei3+Oo7RVV94yS0ky2yC6wEc3CGh2mvqiLaSaXoyrIiDyNAtfkBv/pqQcAAL7y6mOU8510vhBu+OKYj7TQwIYbHtiE+9ZvB0DHNOuWaUbFuhMQWdfHNCuXXk/nehdlQk0pWW4JT8c0G1XmmfFxkY67GOD6a6MMOzBnx3pdUgpVrNBpJQlLmWZJPeX1d6ZsHXKzXx8jFPGMNKMISJ+R3O0a3YHzbcage0yghoRec+XdRORZdqxS79T2CDHNXvqli/DbG1YDqOZuUjxX2e+6KpbCxEpZtsDt9rcKhFEGNXjkucOHabZi8aSkIBiud1Anltar0l4GoJ9D4W5eTgfUH4+138qD3/3LCbj03Sd7paXWyjJMI8BlJD0KyNZo6J0i3DY2bOEEfBBFDFNNM5PbCw5mt8CwM98D3KgS0wwAwBibAvAhAG8EUHQSm2MrY+wLAE7nnM9WLS8gICCgbiyVFvDTRFwZGT6LSFtg2Osf2AgA+N2ND+HUI2ugjAd4o9vFjO/1tiGSWNOrmxM9212WTtPlK66z8vqQTDPGspWmvOEzWViOs3tGXdagt4RosY6iNOPkDqIKC6sT84yxQ4FapJeNk1TOPaOwUDUxIUoVPXSg3DPKQgWgOEbKCKBNSVxK/bJWlnpd8t+SNb8jj4N2XQIgsTheMNHIYn+K6UIwhjqcVxIa/OGWNTh416XYdRk95w0b9GfGxSL1gW1M7Zi6HLbFQypXlsz08L4q++a6Vyp245/v3QAgfzeOmrtXAb09TYJYDn/BlC0mlCs9xTydT5iUJByCEaPGNBPvoarW54MCn/epYEU1orSduByvlL7/+X5P5+4zi+dMLoTVNMSxkn1NsbdFPM5RWPNevmp99l1hmnneWmLU0bvnh3IJeO0HnunF9KoCsR6h55L8qG29LfD8o3bHgxtnAAyfC/KY5+9i2SjFBOFuHsivY4zVrjTrNw7cZUnhmKkZTCxXm7IRyMf2sClWyyBjKzImuVwd3fu1ocp8OaZNNbKotNtijC0HcA6AI+Fedy8G8A4Az2SMncw5X+9IHxAw8FizeQZ/vmfDUAehDgB2WJjHupq0WHUDflbjeWBY9fi6rXN4aFNiM0BlI8ctCKgPqzfOFNyQ+ODKu9djzx1zd1i+19tceMpMM0po9TdP2hfPObw4n+jxs6h8ZChHpHFoWvC1xpppZmZOUQqUJFGRyQNUU5q1OhzTE0lO7z3lkMJGj1aa2fM0WXDrNba5ZzQt9AsxzUaMCSL3s7hXWahAPW8mpSQFo3tGwhKyG6YZg1pXqo4mQYqrRwXLo1um2d/89+XYZekULn3300tfO4igmoB6xkwCh7978n5YPK1uyY7YY5kiHJXxDycdgJ0WT+FFR+/prJuPwFlOUUU44Fq7UMLSVY9sy8qjihwVgQPFQqQQp/G7fKA3p48wGIDiJtq3n4Vi1rVGrgpaSZIzvxlT56tsvhny5bKPa1Vxr40oAmMMHHlcyUGKaXb4HssAAHsvX4gvaexkec4TNS4Ydijfu+9YG9OsE/NajBoGBZWZZsrvegdNzjTLjy2d7g3LDMjfLy5DM58+l715zLcCuiy45J4x1qZJar0ue1KQ3TOOyKPRFZjUchTGgWmWG2jIMa/rLcM23+cx1eZ/QLqWS4FoNvqoaqL4YwBHpd+3AfgegLMB3ApgCxJF2YEAngngFUiYaEcB+BEAP75sQMAA41VfvRS3rdmCWz/8nJ5tJAN6j5VSDKmVS+xxr/yYZsmnvjg9+t9+Z73uiR87B7PtGNec/kxnGQH+eMLHzgGQWA5S4FIMERkv/uJFWCQFZ/cXZNmsZ2UhdjHflxyzp3GMKQIFh9BLdbnCyeMyxk5pJn3XN8Qbts3h/g3bs3PiNNcUaFQ3VdlIyEyz1x6/f+E8NR7KsiZ1hYnYoFD3kDPNaOhCvlHbLFKuO3V3nPo9NyzCGh2mzSG1hlAsXp0569dq1zDlA0A55at8a1k8ndQaucN5ZcGSMCQZBVBNUEb59P7nHVo49rX/93gc9cGzyfSTzQivfsI+3vm7oBtmlL1momG/JrdiN6fR23DEphe35Tq3t88zD90FZ9/4EIBiH0147kMYWClFPwC879RDse+KRThZi29I5l+T5Iix1D0jknrK78KMyVRLSfOHjscLVChEmhFLFYlcUqSZrur/k3P4Hstw7QeeqShGqP7J4oNa8qIZauXqQxmiyMYdc+0YCya7dNs1ILjy7vU4dt/l2HunhfDtew6u7RXqRb+fTdv7RT7my3QT1wwbi0hWgon9X3bLxK3I61vZTWPdLMT5dF3n6kJm+m5bq0geFoZtjPjiuI/+PlujR4xlhnI+7626kDHd+laiGUFpFlBa2s8YeyGAE5GM5SsAHMo5fx3n/Iec82s453eknz/inL8ewKEALkcy5k9ijL2gxvoHBMwLbluzBQAw0+7Mc00CusFEg2GqGWHv5QuNrvEEfBaRVZkXazbPYuP2VqVrA9wwKYZs7KCtc/Kz7bcacrlnzHPL7G2VNNTGgmvJ5HHo2v/Ja1sz02w0F/wmqBsc9d6FQBJQN0W/v2lNdrzd4WhGUeFJrxrTzKaMp7qsrMFdJkxIf+cb6WJGulsXHfpmadT2ivJ9yxviTMmdnFGuyVmf7vxNaciYZj4Xmksif1HsswIcfSrmzIglsUI6cfmxP4ruXUimWZf2VHXFfyk7fHznGDlZ03GzQlhJhRMSzF0qxuQowSVkizm3Wl1/+IWHZ9/1VC6lpTxPMWU+c2PJ9AT+4aQDKll7+4xh0z1zpIZNYGpMMw+3Y8MAH+WfcCkYRXncP9f9256bf3vBYVWq6gUTk0iuTu6iXKu7oy/L9jRliNKW1rpz7dExFvveZffghE+cV+4ibWNRO3tEU9z0GmL+c62ZmyUYucDwvYMS94zp93SI2+ZJ+V0kr3OHfGolYXbPaL+Oc+Dm1ZsUo0GTV5JRgmzUJitSqzBbq2KQmtYZ04x4S43iczTOqLKle0X6+RCAZ3LO77El5pzfC+DZaXoAeFWFMgMCBhIzraA0G2Z0Yo5mxLB0QdPpKsVHYJC94C1ZDftGfxhh2iD7rv3qYJpFjGXjw8by0ZG4UZFYJ7ICjWIiGTbCRqXZCAkPfECxiSgkTLNiAjFn6KeqWN/dvHqzVdhZT0yz5FO/TFbWPTp1CyniVpluxRUDbthRiF2HYkwzHblLG3e/mPKhWCKKK0Vnzmr+smBcOS6ldQe1psvPlWYMUSSUy+VGQhVXpoMOaq7oZcyYumGK6+F7TdOTaUYJXIT7vY3bW2NtPORimoF4pgUoxbsji56vRb/y6mO8PHEY2SEp21ufz3S3Y8MKH2GrsPdqSIrl2OGe0ZavK3ZznSDdh6eHbNupOoYlNe7k985sZ3j37ra9apmYZr18/PutdIoy4zD7mnnCsY/Px2fy5Uvn34FP/+7WmmrZe8ScZwYGPFOuJ+eorrj7kW3Kmk5gmNYu3cK0vxbfr71/I579mQvwxfPvyM4pppejt5wtIGIsM4zycStcBnbvA9yZpl8os2cKGE1UUZodh2S++AbnfIPPBWkcs68hWeMeV6HMgICBxGxrvATOo4Z26te+wZjTeqbh8UbshQX9Las3Y93WudrzHSecc/Ma8rivhZjvWsiqNIsklg/hSsR3wWVa4EsJMvi4Z2xTpv8jDVkxop6Rm8j0LLdjjkaDFcZO1X1Ew8LQKKNcNSFXmKifcj4LpxJBmutxKLpnHK3dImU9qsY0s7lndOdvSjJNKc1QXYDBtOvFN0XhbsjSZRn+jQvvApDcd8QYOjEn2UM29NO9S79A3RLJHB6hW5fvbsKXaUY0gDy+/983Lsu+j8r8ot+z7bbsOjPznOCKaZZd20fJjrebT/IYS5lmyXMkG3mI99CwC6nEfdhGeSbQjpDGNHO7Z7TlNx9xvOTxLkrXx4arVuXdM5pjmgHDzTSbq8GlOpfc+PUCLlffdUO8X6h+rWIQIup/3/rt+Ow5t9VQw/6A83x/Kdo+Y/0RnXHl3euxetMMANnFJRuZeH+Ae01rZKCls9LqjUn7XHX3+uwc5ZVilMFYPj766p4xM5CZ//E4Qo9EQEVUUZoJp+bXlbzu+vRzZYUyAwIGEtsD02yoIYJBN6KiEFxHuZhmZpR97z7rM3/Esz7zx5JXBfjAW2nm2Wl2V3uE1a1nGSZhNxnTTPruwzSbGzP3jArTzOBqD0iZZkTTdOIYzYgV3TNW1JrZLF9dMet8YGKayb+FwDW3DqbvRWyWXnrMnkm6clUZeCgbYemYLQZQdsxHaaalefdzD8bN//Zsp8ugsn3OGCMV8mUUcapyPv++YVsry7PBREyzciNhFPX0VAuM+iZbHkLdMM0ils8519y3ITs+KvNLxoxi4jd9Z7GDamZTeruUZjK4Vp9ewTt/0jgkZ7EygHbPOACCtG7gs/TKLO0hMc2G2D2lqLO+VqaY0dR1vqCYZnpMs2GFLQ6x75zJ0VumpujefsnXBQumRSwuImItZEKu1K2pYn2GkGkA8jypwrS+z9eJw3v/Nnh5gyCMUoVCtkV4otC/C9y+ZguuWLWualUHDnJMs9pduVrO7bx0CoB7fdlL5Gw3154pYNRRRWkmKA8LSl4n0gfKRMDIILhnHG50OEcjitCImOLvnoLPnq1XG4S1m2fdiQJKw9dNmK9wxh7TTHbPmFv0+ZQhnykT00y+PRMRYOzcM0rfbd0fc9o+sd1JNqXyxtNH6W5CaUVraaUZfYFcrtgUiiNG94wxx1QzwluefmCasFxdBh3yeBD9G2tybP2WRfv6WG3rKRpRZHSXVcU9oyl9HkcmP2ZyN+w7jBP3jAxxzEuzLEeNafadS+7G2TesLhz3Yaf3A70SrsvvLJfSpmFx7WOq3qgME11IabqtxBWzGTYjG++YZuify6Mq7Hn52sRFMszuGQfj8aqMjDFnSyTfK1OVZjaX3ibMd5vp7u/INDWU44ppNjvE69464hA7XcF2iTzv/kziNoF+pOyz7GDE3myYILtnFPNkzvoT3hPoa0W6RsS6vn+bQeKgweXxRRi1tSVltSmm2Vw7xsZtLTz9U+fjJV+6uPa6zheieWIffuP/PR7/8dKjsGLxVN/L1uFUuA/yIA+oBc0K19wL4FAATwXwzRLXPU26PiBgJDAT3DMONTodjkaULBJdgjw/plnu0suI8F4dGNQd08we+6iYn00IZspXtTZ3KVW4Na2aYjygxjQz373pVCuO0WAq06wRMcy1q7WkjWVUh3tGSkGr56PnabqTmHNlQ92vIO/9gmo9mnxyzhUXl/qYaWTn3NAVVda4LvJ3zy4XddMV5FX2cial3WQzwlw7zjbRHc+YZnI7dkaM3fren11PHifdM/a6MgR65eZQYZo51kdCqEkZqjBWZO6OEgqxIA39IRREJtjmbP84dCgY7/QK3u4ZiWTCFaFQJDLGcOy+y3HZqnXZGBr2pbSP8UDmYg25clGMJ5NSvqoBTz8galx4R7ncjmuImH39TrmL7cQ8e3+NLNPMs+tdc023sLkE7AXE/pxqG3Xv5ccWGVb5t+Ke0WBcoM8PrzxubwB5O000I++5+9y3nTjw727XGNSNNr7wqqOxZbadHRVrG1nprirN8u+v+Z/LccFtD3dT3YEEY+41XvW8zfnuvHQaL0k9m8wXUo63h3eOgFFHFabZOUjGxisYY0/2uYAx9iQAr0Dynj6nQpkBAQOJ4J5xuNGOOZop00xsxGfbHZLZtW7rHH5wxb3YPmfucyEMGfRFZEACX2FiHYuhSBIMUi7z/AXojPyep82PKbEkjFbJ4zVabb7o5TaKOSc3W61OEtNMPudilHznNcfhwy88nDznYif6HLOBUtDKx5U06adpSHTipHxx6agNHa4ozXKrXJt7RiGbq8Y083voy1owMjBtbjHXX4erT6dSJW8jQhrTzE9IKycRwuJRiptBgbq9+RBo96NIl4tRIXAhlWaQY1fkGBWlvH4fJmG/a2y4XNhZr5U+TW676obv802lEmOCI1e2v/zxewEYbveEMnw8HeSCb5YqPHnGUBuW6VO+y8w9o5Vp5jIGqxZDth3HWDiZMLvriAs2X6AUfuJZ850zY8576t40WyP2rAQVQknqjmnml1+vDQp6BZlpJlpfX6/rfbL/ikUA8nueiJj33LL/ysV41MrFheP62BoE1r2pCrqB2HOP2A0ve9xe2fFMISu5/jS5ZxxFhRkAJabZuMJ5+5TxT1CljRSqKM2+BKADoAHgN4yx1zPGSMYaY6zBGHsNgF+n6Tvp9QEBI4GZVgcbts3hD7esme+qBFSAYE40ogjrt87ht9c/iL//9pV4/Ed+j6P2XKak3TzTxjt/dC1+fNV9xvzE0sm2oQsv0cGBt3vGLhb8B++6JM2jaOGtZmsRIhhOUYs4Oa18d6YF36gpPlywxjTT0lECiE7Mk5hmmntGG/bZaSEWTdFu+Gybc1f/+sCkMGkogoQ0DeyClyS+l6RcK1eVgYdiPZruj8U9Z2m0a5ihfUmUYId09Z7QLtWL8amraWoSMamSYPHwds8oJ+kMmdC3Kqhnez7mW9/3XDdwuQe0BZGPUlYRoD0TIzLBFMLsGO7L7Z4xP1v22ckNI3LjnV4oneQcfQWlZD1Y0kxymwgDhYxpNuTzh81g6ap71uMTZ92suNJM7N3zZ8jUf4/Zawdjvv3cf5BGJkx86u9C+3Vl6/3Ahu2FY52YY2HqDnnUmGaTqdGC9/uFo6da88wlYJ9eeGJuoJlm9Lz5N0/at7DPZ6yYbpgQc54xzXQ3tqs3zeDw08/CzQ9uJq8V1000/JlmJuh7iEFWuJhvNVXwa0yz316/Gr+5PnfHPcjM3rowX+4ZBwFiLAemWUBppRnn/GYAH0UyPhYB+CKABxhjP2CMfZgxdlr6+X0ADwD4CoClSF7RH02vDwgYCcy0Onjdt67A3/z35di4vTXf1Qkw4K6Ht+KHVxQ9w7bToLkNBtz58Fb8/Xeuwnm3rAUATDVpIbctjp1YPI3DImrYsM9OCwvChD7IEnHUnkmZzgWXlXRCn3TlqSh2jO4Zx2usyvdbeEylJooTrRmJRhQpY8dPCUEnsl5LMQlLbmbFRke/iorz4ArenrlnFMq1ERs6cp/mc7mkeETxnjP3jBWYZlaimUOISF+T11MVsKtKURtc80Gu8GKIWBLLz49pVrTMHXamiAtUHMmziNhnvUavYsip7hldTLM0Lgjx0pXjfSqGC91WcECgPx/mZ4zbn4kKcwKVBdXWvYApbqIOo5KEp3Vl0jFIwuAa6jifsJGdXvSFi/D58+5Q+koYXoljJiHmPz/9oHor2iXkuV/0oT42mOG7Dl+57U+uvh83PrBJOdbhHAsmR0FpRrB1HWs3HdzD3Vg36PerXbxfqLZRx0z+Y6dFk3jeUbtDPZuOzyFdm8Q88QKQfBdMs+RefnfjQ9gy28b/XLxKuUa8c0Q7NRtR7f03nwqXUusIoprimRIK2b//zpV4+w+vyc4PMWm1gC2zbVx65yOF471Umg3LkzakU0JAjajCNAPn/HQA/57+ZABWAHgxgNMAfDj9fEl6nAGIAZzBOf9Al/UNCBgobJvr4PY1WwAAR33wbNxPWLcFzD/+4gsX4h0/uhZbZtvK8TjOmWY6TIImSugjkLk/sOxcfF+8c+0Yh59+ll/iACc++dKj8M2/fbxyrIxys+qCaXoiGVsRK1osKXEcrIXTh0kmkvRdZZrRmfRDcThQUBQj5mS2sdGMmCL4dG0mGLO4BrFdRxzz3bfo8QwyIVX2u5hnHqsswZV3r8PxHz83mzc7cSJoGdXNA+W6M+Y8v1/SXabxVAF6GptgRhUilmtwxnT3jHT59jzouoj3YsRS94yec2hgmiV4cOMMAGDpdJWQ0tUQ92iSl8dl08k0M9eFsdFRkFHQHxGze0bH+0B5psvPCeK6nRZNAgBOPXK3Unn4QL61rtwzSuslMc5yxcBojBYxd9ruJmcFJu3AkRspmJrX1O6vP2H/ijWtBvK9lR6yshCpy8R1JV4adz68Rfnd6XAsnEzm3dkhVprduXZL4VjZV6mL1dotIm0t2WuI9w/ldlNW0OrGSAUjhQprpUECl9wz6tNkLp9Qj2fL2/TbZIPVrjQcBJaSqQYug8Z71m0FYI4l2Kv11XzgfT+7Hi//yiW4b/025TiD2zBq1OGMh0h5lhjple34ofITwDk/DcBTAPwMwCyEcav6NwfgJwCezDl/T7eVDQgYFCyZShbeqx7eqkyJv7rmgfmpUIAVG7YlLECh4BRoxzGaEQMVjsO0QLJZKIq1U8EdTwWs3zZXUPIFVAdjrLA4LqU0q1ju9ESRsZgL4eVj5UsgY5pJx9SYZnQeIyJ/8oZ8u7rwTYkHB/OGvxGpMc3cLEJm7N+y/V6WsSizj0zlFuqQ3ty///YW3LtuO66/f2NyWEs7ahsCKk6BHNMMKI6JyMDko6D3nTWui9I/HpnL1xry8snHNR/ITLNGxFL3jO5xIKeR8xhl2O7vl296Sk/LvvTdJ+OCdz4VQH+YZm73jMkii4xpxvK5WPHOOCLTiz5PmpQ+nNufUUWR3gXVbMdFk7juA8/sOSPJ9/k2eGdMWVW8YNSRKe4HQBDbDYSw1TZ/5udETDPZPWW5+3/3cw+Zd2WAyf5ENdIg1rXpJzWmTHOPPte0Y44F6Xp8tj288cjf+N2rjOd812SuuaYu9GsOFzEzqX27yQAo2RPSGNa1SUdxz5gafAljA3DlU0C/1WYN7hl1zGd7Ctf4R6ZeX3SY5h7x7fc3JeFXTAbTvVpfzQdWp0Zdd67dqhzvKdNsSB411+0PyW0EdIGu1Mac84s55y8CsAzAcQBeCODV6edxAJZxzl/COb+0y3pakcZOu5ox9qtelhMQkCGdHW9evVlZFN6rWWcEDBbu0i0PU+YEZUFz7X0byTxanRjtToxXfe2SAo1dLEZVxkK1BdUgWGYNM3Trr0jaPAiUifVSVUg11ZTcUnFRl6Kg3ddVmww6Zk5R8G9KC4ye4sMFik0koApsufHZbWpKM9fIIIaeF6guKzstZOktCpvcLSO3sj7EeZb9LleXQYcS00xytSuT9PQxIZ4rH6FAUZnll7bs2NGZjSyrf5mcLEpVJALrRsTQ4YmRiEtpQrXtsAqmfGGd03u8xd5l6TT2Wr4QQA+ZZtItuN0zpgoPUmkmu2ccPaW8fsumu4o5t44LU2weH+h2OkumJ3qudPLPnjL+Sdop5vL8lUCMZ/mq9hD6yBLCVnE/rU6MD/7yBjyyZTZP08mVyaJNTO4ZVyye7H2lS4BevyQHbfsb22uBus409+jKyE7MsXRBYvC6bW54lGbb5zrY911n4ht/usuYpuz+hMM+13SLfsc0E+OiRRi1Kq7ItXaq4gFikBHH+btWsAmze+HaZwpxXsxHzQar3QtAcx7lGTsvmcYv/+kp+PhLjiTPq4pUcz5twvUnMFpMs72WLwBQlGWyaH77cBBQJcRGP2OIBvQepZVmjLFpxtiujLGF4hjnfI5zfjnn/Bec8++mn5dzzufqra4RbwFwU5/KCgjIXpIbtDhmD26YmY/qBHjiX75/DTbN5H3WiXmyQCyxGJhrx3hw4wwuvP0RvPUH1yjncpde+TFdSORb0qgLFHuNlkb3o9zKldnPVe2NqdSytd3JRYC65XSSv0WIYDhODdutBmGASaY5Qut9L8h9XrC4lL7H3Dw+GhErLc4to/jM60MJE8uNREpBmxyn80wUQ3RemUufzHJ1tKAqdsRnHvvDpsT06RY9jbXvCaWXLxhUVq1ef1t+vn2auGdExjQr47olZ0p4XzI0eO8ph2TfB+Ud3qs5Xh5jLqWpWGNRVtkmodOoKOV14b2JWSTH76LgYuP4oNdjUs7d2z2jQdjEOVeE+6LuWUyz9Lrb12zGAe/5DX593YNVqz0vEONAPBNn3/AQ/vvCVfjQr27M0ohz4i3OOYzuGc99+0m49N0n97raXUH0mT4OXa7KM/eMJZhmusePDudYnromHaYY5A+nStSvW5RmAt4xzXrMNBN592sKF+sP0j2jMm9K38l5R1wzGO/uspDXqyaFpf7+yRi86cQ62YhqN6iYb1bwEXsuI72+ABbFqXbC6J5xVBYqAHZaPAUg984k0Fum2XA8a65qBgXZ6MNrl8sY24Ex9jHG2G0AtgK4H8BmxtgdjLEzGGM79bSW9rrtCeAUAF+brzoEjB/Epm2uHSuLb2rBFjD/mGzmU935t6zNvrczplkJpZmlj8UiVV6sUoGJfWCz0Jttd4LrRgd0q7CIcMVRjmlWrR5ioa4suAlFhpV1Yjjp2th5uRAcoQW/D+S7td26zXowYZrl552LaWZeUNv7vXisKtOs6A6JFlIxJsVr0xkSXDxHLD8wQlA3v4JpZt/UCWGAH9NMTWO1tleEiOU6XWeaaeHsvPOgvud5pkyzmIPzwDQT2GOHBdl327jp562Xec9VRZPycS1BjEHdRTaAbAyNKgprOZNRAnjhGf39W0/MvquK8JKVKKHc7wYH7bok++7tnpE4lsSAVYX74lN2WQgA19+/CQBw1g2rK9R4/iDWGGJp2E61PPLzmrHqMqMvbnRvu3R6Arssne5tpSuAchNeEKIbjHjy04y+DsCEYe7RFfSdDsfiqQlMNNhQKc3EeBfrhacfskshTdnH2qGf7xrZ2OzTvJ4xzYj9trKWMg875fywLk04z9tCrF31WMV6C4lHSswrzagHMc0GukENeyEt1Ti4ZzQhYoFpVoVpFjBacCrNGGMHArgawDsB7I+c7csA7AvgHQCuZowd3LtqWvGZtG5BWxHQN4iX5E0PblKOm+jbAf3H/Ru2Z4qlCellf9/67dn3xEK+3ALRK6aZtIjS0/sWZZNzveSLF+Pw08/yy2hMoVuFJYJktfHLxTRTr33i/jvhsve4rXqnJ6K0Prm7vzLslKTssicSyEwq0xgfP6aZJJDS3ZRITSR50yyg0Yg0Ia9jMY0iy9HnSlqYWFaBIhS0ZoWNymCgA4Wfee2D+PFV9ykKmVEbOjExNpSYOii2TZn+KCoubYk900mg4kIBRaaZPQ+/shrpezPmCdPMJLgUkNu2Havz4ChBfq4G5f56ZQmtumdUb/Y9zz1E+W17Ttoxz99VUrJRmV983TNS3bRwMreOVxThUnv/5B+e5KyDmP97Ldh52zPyOGn+TDMiHUtYVRwyOyn51Jmqw+rGUyxRC7FVpfYQc6UQuiRMM5GuD5XsArb1i83GgjqVMc0o94yGzPR2baeeRZYtmBgqpZkYA7kyxDzeyzHNejeAMpffPStBxbufewhOPXI3WqGorG9VY6SCu8ZsnjSv2QcZCtMsNcLQb6MwRjSm2UQz6nrt8panH4QnPWon7LYsUeKbntFBgJlppv6mXH8C9cSw7zc45/jCH25XXAHbwNA7ptmgQzwvo2jkF1AO1l0uY6wJ4EcA9hGH9CTp354AfsgYm6i9hhYwxk4FsIZzfqUj3esZY1cwxq5Yu3atLWlAgBUbt7ewcXvLyELoh0VvgBszrQ6efMa5+Jfv/xmAagm0ZTbfLLU7HI2oHNPMRNEH8perrDttV1xR2Zhm192/sVKe4wTd4jBh+6jo5nFdNNXEzkvcVr3TzdQ9ozQOaLd75jyquPYDdKaZKc14zVkql8gifICZ/dCMmCK4EHEyAOBP//rUQnpq7MnnTDAxfMrApKCVx0OuVBGKkGI+//i/V6Edq5vwAoGCc1x0x8NDO6bk+xbv+Jir7aNDtKMX00xL06tNGCNnmOSMfx72q5qa0swlFJFHREcTAo4S5HaoGrfnO685Dt997XG11alX61L5FnSl6eF7LDOmpZDHNJOPDec8okO/DZt7Rn1cmMaQnO7ovXf0rkuvBT/NRpTV2VtpZjmWNBVTjpqGxbDNJpl7RosLd5FGGKtw5HuQSYehgsCnX34Ufv/WE9J8+t9K1Dqr6J5R+m6pIjWmjEwz3T1jnOz3lg6Z0izWjEzI+Tw9528gwfvjnrFPc/iuy6bxX688OoshbYLOoLe1wTAKyWPOM4OKWHufiL4ouGeUrgWAiSjqep7YY4cF+N/XPQFLppO90SC3pTr3mOu52eDdZxjlflfdsx4f/+0teMePrvVKTxkdjxvG++4DADfT7MUAjkCyTnsEwOsB7AFgMv18AwChhToUwEt7U00jngzg+YyxVQD+D8DTGGPf0RNxzr/COX8c5/xxK1eu7HMVA0YJx/zb73DUB8820rHHgaY9DLh81ToAwI0PJExAWW8108p/iE1UGX/bsjJGX0OIRae8UShuiP3KGsJ12EBBV25SMc1KWeAXus3v2qmUaUbGNFPchlgErFrhuuW1CT7uGcdtnFmZZlI7J1budOM0WB7T7JMvPQqLJnOlGSXIYrBZM/rPPc8/ane899RD3AklmGOa5UeO2UcSujK7MlFx96I9Pz++6n688quX4qdX31+qjoOD4tiIJaZZkkK9Z+F2xqcbbX1QSKsIdzyFz1JdVPeM/nX0ndcaUe6eMeZwxjRTnrtYre8oQe5Tu3tG87mnHLgCTz5gRW116tW6VGGaOZSmpvt96qNX4lErF2WjThHydVm/QYG+zjDGjJTidwlEjOFfnn4QvvV3x6pjq4LL1n6hrPtVA9EMQDJvFJhm2Tq7q2rOO8TeQL8fuT2E9xIRp5JznnmvmHQoCAT+4rF74oCdl7gT1gyb0Y9tz2Ub23RMMz/3jO04RjNiWDo9gU1DpDQT9yEUhqSQnisfTmTxaXsE3SVgv+Da0+leFfQ2UNdNtVWrb+BcYnEaGKkGopnENGO13/sgu/YzrU2oeWi2rcYMj9hwyv2EHGvLTBs/vfo+XHzHIwDyd5C+txtkpWevka8/qq1xA0YHrhXXi9LP7QBO5Jx/jXP+IOe8nX5+FcCJALal6f6iVxWlwDk/jXO+J+d8XwB/CeBczvlf9bMOAeMF4SbB9I40+TwO6C82zyQWQSsWJ0GfZZaPvOjp8PJMM5t7RgHKFVVZjFJw2fmAvrFUYjGl8G1jG1PIBaFEaXXiAs3fd4NWmWkmu2c0FDBuo0wNW6UJMxWlibllGlJMs2ZDU8YazeZNGzMz9EX4f77isdht2QJDahqi3wtMs/T4rkunszhMnKcxdTIBTLEN5GdBP3v3I1sBqC5whwnylJFZ5cZccnFZhDhHPYtnvOgILa163kYUcA0pGwrKuah8PkrMO4OgMooYOjxpK5cAV2GaCfZEifoMC2TloW//9hq2+IzdIb8L1xrKdPq1x+8PlrriS3IcvVERa+Pd1Bs6MwBI3jVvefqBOOGglbUIdPsh2BF96c80K6YTx2Kex3kTdR9Gy34KsfSOAfL3rdwa2VzJcqaZiKvsqzSbb1AeD3TllzIuSSVqcpBmmhkMwqRxwnli3NGIGCYb0VCFUtBj2NnGv++ehqO3c8F8zeJOpZke36yEseIwIE5lGuK7bgiYfFGvEWnymGZR7UqSMobJ/Yay1mb0d4H1W1Vle7MR9XB91TvIt/Yv378Gr/jqJcr5ohv63tdp0MEcr9tum+imBzfhOZ+9AJtnhsegY9zgWnEdjWR6/S7n/CYqAef8ZgDfRTJeHltv9QIChgudYXRuPIKQWUZisyQwSzDNyriJmpOUHzryTXDy+55HtmGT9gL0XYsGpVm9oFxxlBG+VN1DCMGGojxlykf6vXwBrjrFhLBCx6i4wPKFfLuFWDPaOaN7xkbONIsYw7X3bczOmQSAxr7q8WYkZ5qpih/ZbaMsPJltx/jyH+9UjANUBYrMAlDLyhkGNd5AHyFvfvOYZrqLG/UaE5MPAP7y2L2V3/oY8GUilW3P5Fqpz6Q4HS7YpgP58kbE0GBJmyVMM4cCX1oa6ULAUYIa08zWv/2oTQKLR+muUIYNaRKa5YokM3ti2JFZb2e/6RuTWVUCSuxJ6XhZOZ0+7/cDFCuIgo1p1om5ZY4d7gGS7Rekdw2gPkvyO4mlaTKmmad7RhnzPeOK8WwjJltd5hHXmVjO8vo+cwmcepwYpv2V2E9mTDOi7ptn21j18NYSMc16654xi6vV52am3nX6+lU5p6dVrqutWn1DR1OaQV6vQ3yqnZLNtcI9Y6NcnHcf+L4L5huuWurPnu6qf9ghuqkY73s4+q8X8I1pRp0uE2/1P866BTc9uAmX3LmuTPUC+gjXiktE1LzIkU6c37m76lQH5/wPnPNT56v8gAAAQ2W9NsqQXSiKzdKpR+4GADj/1rWZ0KLd4Wh2wTQruD1Ii405RyfmOOET5+Hvv62GXPRde4zQOmxe4GMpdX8JRkxVq8NMadaJFUVLmmmef4XsnRsbRWlGp+UcuPa+Dfi3X904Fgo0lWim3q8S08rJNEu+6+1KWX/bmIq9VhyIGA/64j2yCBIA4PY1W8j8hJuoJE8Vov2GdYNF9T+HygzVh4WQW/rcst7XVqWK/L1ke+oGAlFxunHnQXyXBR8NJrtn5Gg6BLgUi3NYlas2yG4K7f3bv5vvlVBHvgPXPGbqa6ZJ9FT3jKPxPirGfqTTxbw4LhSlmdQ4tti6NvTzkXN4bLUiU6ZKRgt6frkrqerlzCcy94wWDybC2EoYt3DOs76fGBKmmQwTM5t631DnKeG7iXFHefxopJ4BhmnMCE8pYp9qYrac9B9/8F7DJ+uaWqpHIp/W+9vQ1P2bFGGUMZtqrDR8C5Q4zt8ZoiWy9bphvhR32ekIpVlUu8Kw4XDfPJ8oc68dTcYn1sCjAlmGJWMU1+pl4WoDUmk2OkMjAG6l2eL0c70j3Yb0c1FXtQkIGCJQC/VRenkOM2SBgrAMOmS3pQCANZtn8T8XrcLnz7sd7ThGI2KlNp82YUUe0yxXyKx6ZJuWym/1EV623aEQ7JgVN0gX3v5wz+shlBZKLLzsk7Yi11GLe0ZD2phzvPiLF+Hrf7orc/szypA31fojpmy4uZkR0JTcM+oL6QUTjUJ6BnP7V+n3Mlg0mdRn25zui98uHDCPOWSVLiodh5tBRCl25JhmJIswU6iVv2dfl6xlsy5YT0tKPxeoEZ8JrTOBZ8IcmmxGmG13EHOzi6wsXynjTiYIHs5xYkNzAJlm/bCEdt2OMW6IZgUvp/r/7H11vOTGlfUpdT8Y5vGYxx4zs+MxY2JPEsebZMPMvGEHv3C8ye4mcRg3G2a0HbNjxpjZY3s8YxgP45v3Xnervj+kK1WVqkrQ6m6pn45/434t6lLpqurWhXP7RQeK0DMa70uTaSYGNwjbk9CEiwjidLooeHnUNJPoGRUpU7uxbOMJqVtigAagZhSS7ISG8LEUmWbfe/Vh0vdudpHueZA8q+wecVmrtnYPGdZvuuDJuuNl0ZTJIR9kyVkyzQhJ78q7ROeEoVeZZjb9BVDWXCw6puw6Z3LwdxkdBZxzqe+l+RR65zwdT2NNvZY/PWORM80ilJ2avwlNhU1qoOb0VV1wHtiwovaTiY64QDfd/iyiUfV0cVGPP6RChQo6TBqoRRauZSwI2o9oCsZ/ldoCAD7z9/uDv/eYPzUVzcl40zUuuEh5cjnHY2v0mRpJ0U8p/72A2nu6mmZp3tesi+zBmue0aLpu6GjRZafYDOiGnXGLOvH2TDrvRJMyOZtI3RdueHS1+f2tOU5o4FI6Vuc80Dlsw33W5mYGyevkIU/NU51mNB56Dj1qi7x41L0etnsJs++yt7uXkHymwlguGhBsGXtxUGXFVuchqUNd/ztqFpD52rZrmLZRVtncqUO4ffl6TBmsY6AWdRaLEHuNIuXbyUQpKkSqMKtTtAttIYjBXFS/MA/YaK/mTRuUjzVcIzTwyY6DfoKqy5l0Cd14K74jYh9nDXDpKj1jOzXNAkNuOqd/mSAGZgCCoVK4T2IvCbKHeTp6xuP2nJdfgzNCFGuS56RZ1ip0NaJNmWa64MmaX6+pTIbuiNPMVtMs4Y25HaZnJHS7m+MCl6OZZeHfP3ztETh0l5nB9zIGf1HdPoLKOuAdo081o3drIGXJiiTI+3p5wrw2i+5Q5avuMGwr02ASA5UyGCjvei5vZBkOstjx+kea+g99uGStUKE70GUUVJlmxcB4KzTAUGSQKdKJMZaqoHaj5YY0ZJHlXbgI3jDi1TIzRUHGoXKatQcdvYAqAmm6OCnFkoqQnjE0lekWY1myEuKiv8Qmmo51OS89zVE6CJlmFnrGL1z4AG58bK32CnWJnlHep42ShuUZWkxEmercKd8p02zrWFPaLjrKtJlmht+2tcgVqKTKCHHMEBePwTPVOBLTlJVRuyXxO5+6Q5ni0Eh+vj67Us4OoGyq+dOGsGrTmEfPGLOyFvuWDJhlNErFQappVhCvGfX3h5+7N675yMm5XVd2zMo3tMf8afjru47V7p87dSi8hr9ZJ3X9Mh+pNc1MywTd9prhPU6daSbka3UL7WSaEcRxQx3Hyq630L2p/k9x7g0yzfysGA7PYTpQY/bxxUca6vm8oftlIz1jTIYHbZo/bSiyb6iuD9gQ3xGiVav564Ayra/U+dLqNEtxW52UjEA2u9zNuueaMDYRp++3nTQ3lTHlw+VcyU6O3kSkXpX/SYEYw4O13B0lRXaaybAHq+lqmvVTsLwY+E3oRz09C7LUNEsz/j21IXm5kAq9QdLlfv+MCBUq5IThgejrU9U0KwZ0mWamBabDWKpMsxbngUKxdayJl//gRjy+Zqv0Wy4PFzZqRHBS/UNVbK95eDV+efMTids50RENposuH5IuMMVnlrb4OmUeNdyokSvpYs7U7riFiGgANx3ZR/p+IuiyiQjqgvux1Vu113CE4s8OY7HUdDoaGHFfJzF5UJ9pZssSoW3G7f7fEUey/1nWRZYuC9F1RXrGKNJlmqnnJjwv8S+E12XK97TQ3Rbday1wmg1jrOli47aGVMtLB1FWgvoyJZUTG9QobxO6WtOMIshr+UaQx2VKH7zzzOBv8T0ZkOq+eZ+6eahfpiY1s8xE+8s5jziGTM8rbaZZSM+Y6rS2kDjTzDLWiBkx6uUiFFKpW9hb0BohQs/IosdQ/SXOORpNN7Eeqs5Px/cg80x8TDTmpx2GmDD3fPD0vaR9psBE8R0Ja5o5YCXLNFPZUmxOszSMGJ2kXOvVuxi3nlGDiWztLOPaSAryUhDejzJuKlSaw/Va7rJRZKdZmltVbXy1GjPO52WELtNM7Z85U2QWgYmCODlpx2f21IZteHDl5rRNqtBlJLX+/YUx1jL9A/An/zhmO87/17T9UIUKRYU6MQ5XmWaFRUNaLMlFlFUwmOk9dGi5oSys3TqOmx5bh/+65CEAImc4D6KPsutT8omv/ckt+MSf7816sQkIdWGgi1RO/3D233F6quPFTDNqEhkykmaDqPtEI6gNcqaZ4RihD7580QPW6/UDuPS3asyUjzU5RGoszDRLUuCagRmtCFZnaQ7rzKk+PaOaaRbQM7IoRZqtXR49o3+80n9hVHxxF8g2iE5T6ouWkkWljhhpnGbqsUkzzdJ2Z4QGMk2mmaUt1A3UHzMnDwAA1o80JFpC/XWFLL6SZyTaINqy86hp9pWXHITPvnD/ttpE6lDezuwkFKLkOIvLlu5nzZmM3kGwgeE4jmg/msbSRspMM0JX6RnbkDc61eWhnHXT0dwNqPSMJBi6AAMKVgkyzRKuWdR1z4xJA/jo8/Zpp9mJcfiuswAAB+00I9hGzYnUNJPGkuhzDp2+0Qw7k5htEXQeuaZZNt2/VwipJUNHsglJb0utd5U3HIOO2GloM80Eh6ukVyF5lmtS2steg3Mu6SD6da98jtoFkwbtVNtZUORAOlF3jdO7VRvfgOP0ld2P5FxaCwodcdPHTsWVHzqp283qKV6/eCGABDKs2Z90nlmzeSxtsyr0AGlqmlkDMqCvYVuhQt9A5VLXOc10fOtpsW28Bcb016+QDAE9IxeoLYyZZumcZpzzKL2BsMCnT5MilXSA7CM9rCdQ+89xNGSaGfo47QQ34K9gxLFBF/VtdZ4o3wPu+Zho4yQyxENfHv7vxifw2bMPiD+pxLBlmqnvrElHdphM+xorR2afmXXVnocyNXnIm0co00x1gNgyykxtCoy/aqZZ4BTO3t6eQsk0c12PutQRHIxcsVWnuVf1UHtdF7sRMe532nG6mUD9QDXNRLqouLGI+vZvdz2NB57ZJJ3fTxDvKQ92xn8/Yuf2GoTQ+Jd3tLcsY/pr/+5tz0GjxbF87Uh4rHgN/zMsQB/uK5Nh24ZITTPDfaWhjKMsmoVzJic6ngWf3XvnktYs1DpJ/E8x00wVsbJLR8uVZZ4cDDpjPY3pnHu0g4kzzTTvfLeG3TP2X4BbP3Ea5gmUitQem+PL1j6HaRxuhhM2jwpOM2EMdJLobAVCi3TNJJlmSZ1m4B2df+kRdXsdaxtD1Qx8GwMEIPelyzmcEpg3W5yjJjqBNMeoPaSKgY5FqV30kiY2DttNF+iihe062VBtfPWal7WqyxIvI/T0jOH+BTOGu9yi3uMTS/bFx87aN1Z/1r5rfjd+/fKHsWD6MF5+1C7ac/txLdSPSOI0S/Ikq6ddoe8xpkR2HrzTDNy5YoO0LQ+e9H0/fTEGaw4e/uKZ0vZla7ZiW6OFfbdPl+kykbB68ximDdcDesamy4MoX2OmWVp6RpdHFi00mXJB4Wg3+qgdWeJcNvZORESzhqKLg6R9TLUkvOvYI+PfesLu+ME1jwXfSe6aLTcSdaku4JLCTeg0E7OLTJefaM5ZuW6VeR9gVmRFep+6wyKycPiuszBYc4KaaLpoz/A3krc9C47abTYA4JVHy8p6kO0IfU0zIDQsrds6HmwVjZjqfYuUlWWEmmlGhjZ6h1kQ6x8izRirdouVvq8Np5dqDGp3MU9n03OtB4ZPb7vnNLP/Br0v7/31HcG2ssqJCUwx6NoybbppYCFdpBtGUhVD9RqG6rYABPN8apqanvOlKzB5sFaaiGd1njGqHRwYa7YMO2WMN13c85kz4p3VCspCzxjMMUJGTMRpVnLdhTJAVYexrv4j6RAc3HOaZayVDHTXYDNPqUFG73vasUh0+qrjqulKW0Ybwd9hTTMv06xUNc2IntG/b5vOnvS+XLfDY0GPpnZb34gsCYDfREs71fcwTZZBr+C6PFJnVw1MUWVElYNJHQjYLjY9Y/K2qX1HDkqXe/USywYTW4j4HvWbnp4WjLFEz1bXTdSNX7/8EQAwOs0meBeXBlati3PudOBflT5ToZRQC2/vo3FeNVPWGTD+luY6J/3XP3HmN67N5fr9iiO/eDne+NNbA3rGRsuVMkL+9/VHRs5hDImpTgC5phlBpTezZpolnBw1JbAiWC8Ys0W86kc3Y/ePX5Tsh/oUUQcViyjHSR1G4rVCY47+5I+fta/0nYwbkwZqgVEkoBtKEKmvHgeE0W5xdYSWrtoSe/1u06f0Glz6W10wyMea1nkOCx2XNSfKaf/HdyzGr9/6nOA7g3ltbot0zWOxMn/aMJadtwTH7jFXe20x08xU5+ztv/hX8LdIl2WqCVfg9bEVak2zwNkg0TMmc6zqkcLBluksOl4+I1NNM82vqjXNxGPqMcZ73TjTbwtFh8kOaOuY3o0G+TjzgAUAgGMWzenYb8RlMJkDEPw/NNOQyf67ctMoHlujrzdZRKjzg8VnFtDpxqHRcjFteCA5I0VGZ0U7SPpb+pCNcKujGW8AgQ49W/N6DpNciGuH8G8/ZIMDY602nWY9HHcDesaEASPqRsexZ6mJEDPNApr+GitdTTNVD2laFodJb6vTer+O8rsbsP2emmkG2Odh8UpJ1uNFAOdysI7nKIweI0Idp/NkOaIxuyyOl7haz2pNMwoWKxtFo1rHjqDLNCvHkysOdpo1Kfg76fAnvh/9wrDQj8g/B7dChT6F6jTTRRGXbeLsR9zw6Fo0fMWm0XIDZddxGHaePSlyvJMy04wou0SomRe8S5lmh37+skAuz/nO9TjiC5cB8PpgokNd5Ih0dAQOjm9e8QiWrkpQgJXTddKpkNOGB/DJJfvil28RnCjBJewKerhP3knRx2nk1gSiliD85LrH275mkSHea5ReMHmmWZCFVItmmumON9IdpjUe5QTx2rr7NP10o+UK453e6VhWmhI5C5FLdVCAkB5LRLqaZtnalSnTLOb5mkCZK7pMN7WmmXjMQMzN6aazshhSkoJBjqjOo6ZZHli8x1wsO28J9tpuWq7XTZMNaQ5A0DtC+gmmjFwVLueYOXkw0TVV5ovE6KLc5ZFpBoiZrnEXSvRzhUFQ99j/rss0awZZogCYd2wjBT2jDr2sDVcLspRtAQX2QCLV4SZ+vfezzw3+1tU0qznkfCzPOBPQ61KmmeXVT5ppxnmH9Uv6nc79hBa6ZXeovyg1zVg0kFIEV/TBMsDlXHq3xLvjyqcJQ2045FXQfJ6UqrdX0M5BmuNMLENlkY/7nt6Ih1ZuNr77QeC3cJ9F0tP/+6UH432n7tnrZmhBvXT6ftsF2zg4PvqHu2PPrUmBmRWKioIPYxUqFAeq00yn9OdR06xC+6BMs2aLhxGGjl5BZkinJLpck6LPZMXJRs/4i5uWY8W6Ee0+EUl1MLq/O5ZvwJotcuZZmRaGeWG00cINj66JZpoFdHQhNm1r4r8vexgv/8FNsdcNlP8MCuSbj98du82dYn2maa5KspWGmsl4faVRn7vg/sghNzy6Bp/7e3R72aG+H3G0JQSHiUaY8Bn85PVHaI/37F0GB1zCtuYNJnzqZNokquK4ZnI6FmmRlQZqDYvQYBl1EhFS1TRL0S8yjVB7/SlSncXhS+cciLedsDuO33NeZF9Azxg41qLZICbofrqkYmIEY6rTzHJs2Sz8GsRFZZuOlbd7n3pnWX/oL9GaZvrjOE+u9x21cHaqNjDlsxtIPg/ECY9/PfWFKrl4BFMppw8yWIbH0HzLGPPGDO6tM+NYBooKGgdU2YgbS5hwnK2mmZipKWeahQEwZatpRm2vJclqSXhfHJ2dg8JMs479hBY250WN3iEfjMVkmgmXapVEYFweDeime6a+Udc96txc1qC3dhDS1QvQdIOa5TkQ0DMWXz4uvPsZLDn/Ojz369cYj6GxRRxiiiQOLz58J7z/9L163QwtQhuT4ADjwG9vW5Hg3PDviWi3Kwsqp1mFCgmhKk06e3WRJpeJgMvufxYLz70QG7c1pO3kNBtvuSFlmBPlwgc8ZSmN82HTaCPqQFUWCC63K9mv/vHNsb+TR8T1tkay+hj9hE/95V688oc3S9SEgJhpFsoAycZYwx61zRDSubTDzU7PNDQAhPuG6jIlxk0fO9V4nSADxmI42X3ulERtOv/KpbFUNa/84c34yfX9kYEmvpYmagqCyRHAGAsi8cRaiVMG9dRajJkN6EnmjMWL5uD3bz8m/sAMYIwFbVOz8HRi0XS5sc1BVm9J50H1/kUKzmC7ck6qmmYp2hK3eI87R87UUI0i5mvMmzYUKXodUux438MabyHiusHVDDL9pi+p9QGtstEH9y7JWyw9o+kaZuNqv9gO1Axc0325nIPDPL6KeNfJe2RqSzcNokmHRn2mmW78kQ8UmR3KiKCWmbL94vtWBn8HTjP4mc7wgjlqbaRu9HLcpTWYtd6jbhs5TpmGntFwnZHxaKaZwxgcpxxGbkJLCPwE7GvLxPfV4dvvlYxpM83ok0UzWG3tFIOgeUnoGV3O5TUqi38WnXxUZQkOso1HIkyZZmVgmXrXr26PPUZHz5hmjTORobPrJIXkoC/JWDMRUTnNKlRICFMdKxHiIQ8/uxmPrt4SOaZCfvjEn+8BAKzaNCptJ97pZssNJiCKMFTBGFLVB9gw0sDbfyErH7R+TZJpBgBbx+KdWXnoYP98aDVO+upVEadiP+Nh31m2SblnXSRZGmMLHUuOqjSOVhPEtgwoDrAkzjkbRc8ucyabfywGl93/LP74ryeTn1AiyBR85n2A3tAPeGOGmIVEpxmdbDCHtCYxYu69YBqOTJlZEAcx81LXBNO70XK5YOjWZ+qVNdNMrmnGpeh0wHuOSSk8dUjTLTp6sqxod81LbSGZCSi2RAdRhmdeFoNKYijO8aLQM3YK6egZxQh/0bHofeqMvcU3QyVD4BwR9EPtcf5nkncprSEreIdTndUekjro6CjZUS9ex/uMu+WyjSckBqF8RI8JM80Q1DRzXW6tCVZk0DO0Ob5scuPRMyr7TUE8kiEy1N+9mmblGV1oPRvSM5rbntxn1tn771W2kk5v3WmWtxaKjJkp2liWTDPOYaRnJCRl1JhICHVcYZum91S7DtkDylLzLg6hjhJuK+t6rtvQ6Vi68ejCu5/BwnMvlOiDZUrmPhGmPkSyisMVKlRIVMtEPOSMr3kp0MvOW5JzO/iETJ/XYdXmMQDAxm0NXP3w6mD7uO8pawj0jBRhqIIxJjnNhupObL2INVvGItcA5NoENqdZEntHGm56E75y8YNYtnYEVzzwLP7tsJ0SXa9foHa/TilO45ikQ0/Ycx722m4a3nL87qnbRM9KNUKrfwPJnGa2TDMTRUcSvOVntwHwqBBEuC4vfdTZt65cGvytGg7Ud8n0DouOMvEZ2LLJjPSMlu6My0zIgkg7mN7AYfrJpljTzJCpV9bpSRxzN482ceQXLwcQGiHap2dUvluPNY8NJoiPQ3JMKPNTWqi/rqtpFtdGbSZR37hFPDCkoWcsPySqq7hjTWOjJdOsX5D43rj3z2FA3hwBRXYohZR94jbhb/9T1Yki9MAlG0+ovcG6QXNMmGnG/Ewzb1u96EWCDHCc6LMG4oNESH4ZdA43vWzrasPVHCdwPpYFQZacf9+2MhBZa5rtOX9q9gZq0LtMs/D+lxy0Pb71ikNxz1MbAZANQJGdhO0sQyYR4Dn35HE0fDtCJ718Dh1xxQdPxLMb5QDkiYIwqFbUu6PH/fF2OZiUgmfL4lSNA70/v75lebCtuJpDsRDMUUKH6aTiG1c8DAB4cv0I9lkwHYA8vpRlrJmIqJxmFSokhBoxoDVqd2isE+kAx1tuhMptouM1P75FoiKkyLyWy4MIoLoT5cIHvMWbmOUzVHcwe8ognkmhPNYC43b4u2KEaBKHq4qkWVC6o+oOQ9PlmD99GMvWjuDhZydOxiP1bDSaTlSK7RHfkWsKz3CgxvDxs/bNpZU2o2oSughbtluUpz5Zy2xocQ6n5Cr0Y2u2Bn/HZZqZjBMOCxdJUnR8hswSmzGznZ5OuoZjEGt2hb9oeje8TDPTb5Y700y84wdXbg7+Fik41V5JQ9eaNdgl7VmUlUDI63nQZWoaw2dcN5TNoJ0FjMkGXXumWTnfERHiLcQFU5j6IqCG9b/b6HPLiqQ1zeg4TzY6c/NFFDtqkilzNcw0U5xmJR9TIkZsjWC0eLiOoEznlsu1AYAirj/3lAgDB6GXYw89Q9u8qafrpM9oppnxdnSZZlTTLHGLe4/A4Zcg0ywpq8hOsyYFfw/UGP7wjsVttDCKXumAIrUZ1TE30bsy2PXvP71zMS65dyW+f81jpaGAdTmPfT9MmWaL5k3Fonn5Ok/LAt14pJOMS+57VntemTJXbWhpbqOIOkMhIcxRBC2DAgWXKrXPCJXTrLgoZ6hShQo9gDqMOYzh0vefIG3rVLSJyM0+GlN/aSJCrd21Yds4AOL/9/qrZqFnFBWmlstT160KawJ5n0TP6DDZ4Koeb0PSeZNzjlHl/qcNe/EQJDcTiZ6RHnGkPhX1udD3WRTddgwO6q8ND5id30kCiQcsB+XAHhlB3ylzEXpBebct00w0whBUyRCzG01Sk/eCZMqQ9+7H0YdywUCrjf/g8Y57dW9YPzJZW4sG0/2K88YdyzdI+9KMB1kfddv9qUb1pz09cKp63+uBbCVzEAH50A0XHQyyQdeaRdqF9nQTcfdjDBpQsmklp1mpTNtmqDXNjPSM3BtTO5HM3Qt6xqRQnfHiNgBGo7cpY6IsCGReyTgT0RKsmEGmmVq3SIMdZ07CobvM0u5LQ0efNwJ6RgsTgm5ODR2rUQM3A3Dnp0/HnZ8+XdouvmdSTTNWLiO3mmlmszN8+A93x17ve68+DF8858Dg+6J5UzFj0kCbrZTRqzdR1OFqit7iMNnhyJh9jj5sl1lY6NeGLkMmEefczyBkWmYVk2++k89qvx28TJqpQ8XO0dD1VxIMBPSMxZePJCjTuFhUiCJk605R1lqauapC8VBS00aFCt1HtKYZsPOsydZj8kJDWDiNNfImbiknxi0Uiqs2efSJLhcNuXqnmcqR3+I89aJSNYZwHi5stRFMCTSzpEoYBzAyLsvEVN9p9uwmoq8cT3StfoKp9pDY81mUk7QOVblN3ic9/smDZqeZSr9z8M4z8dWXHCRtG6hbonURNSy0CxstTBkRyTRTNiS535olsyT00zLjO297LiENYvJ+P/fMffD+0/bCWQdun+h4hvj6nNJ2RA3dBOqusmaaifO3eAs2GtR09IzZ+iWLMVjKAsrpcVA7yFGcJtPsgrueNl6vX+Awtd/N99cPI6l4d3GibeqLcHM0+ztu2GuWpGJ6qBeanSO0nXPekfGzyG+azimmky1T8EBZ36XAWaZxGBPkTLOQ+r0dGTl1n/mZz20XIT1jtvY7LLqmYgyYOXkQMycPAgBuOPcUnHnAAmNNM4eVrKZZQC0JjDZakfVeWjzvgO2D4KpOoVc6oPhYVX3LYUzS6ZPoH2QbKIMhmwv6txwjKuvrNz++Tjqvk5mnX/63A/H7tx8T1JUrKrLaaWjMKYNTNQnKklFZRLDIH3rdRLdNRyVcoXionGYVKiSEOpfUHBYxFCSJzs8CUWGrMs08qHXFRFCtM/CQrsFEz8ggK0ctl2Ow5uCqD52ED52xV6K20HXVTLOaoylaDSX6S5GXKx98FgvPvRAr1m9L9NvcjToQpw15UYOr/X5Ys2UiOs3k77pIsiwLoTwM0HSJKYPmhatqIPrru47FS4/YWdpmp2e0f8+CMiwc00DNZEhqSBENAqJz02YYNmdamH8nyyObNjyA9522Z6xzV7xTnXPO1hd0ZVP/lZV6Tqy/LN6+jr6SkIRGNbyO/D1pP6XtTs5lg1DeBiySrTR11/77sodzbUMR4WVthv1gewfLZLQ1Qri9uOdvpmeUt6fpl7jas0WBquOZ1ghBgFcHxs8i1yIVM0EiGxHKljrWqr1YtmknzDQzgwJ5mKBEeDXNst/sDjMn4coPnpj5/HYQ0jPK2+Oenai/x+k2O8ychF3mTFYMkSHjCGNMmuuLjoAVAAxfvuiBDlw/90v27F0UnRckY+L40hIevPdK2Rsa6sa5NrMjCOcP/X2Z5p1OPqvhgRqOXDi7cz+QE7QsRAnOmzt1CEB518YRthDNuFgG2S8Cwmz+UHJ0fReO59FtQJ+sDfoUldOsQoWEiGSaGTKXkox3G7c1cM53rsdjq5PVmhIVwdFmlWkGAE9anEpbxpo+lUlIz0i0HCqYErnYcjkYY9ht7hQrfZ4IOp30psBpxqKFh6ktBFXX+s0tKwAA9zy5IdFvc/CI00zNlLM5GPsN1LPRzFCKuZOfNQBsHmvi375zfbLrt7XCkNs0ecgsXyq1iA42w0knFkJlXRiYoI7VSe9PdGiaKKW87/rIeemYBEuzTvS6mPWYJuPHo3+RrxG5Zg7t6wVM/UyOUd19pRkPsmapJnauGc/3PneYOYztZwzj0y/YL2M7vE9y1ssF5zNdsq+gdoHNUTHUQ4q0vCBRqsUca+qKwAEf6E7hvrhxrzxOM+8zZCQwH+dl8ubfhmDMzv/SuUGaS4XtQdZEhJ6xyHcTD678obsfijpnCPshC4W8ih1mToo/qAMgvdaUlW8CjTU6mn2dGHj138LvIp02Y+WSHVFXe2RVfvWpOzln90ofcCWnmbzmY0qmmbfPDrpGGdY+AdODw6Qxk56F6R4q1S17oMq8qV6mWZmc8ID5mXczY+7P71yMDz937679XqcRjjPiVkvwqXCcSJrQ1BWWq1AIlH/VVqFCl6DOJeNNV2sISDLp/POhVbhj+Qb816UPJfptkde+URJKmk5jxboR6/7JAzWPnpEyzWpmB5a42eWhgSepsdJxGMabbuCccnm4sI2raaY6d8b95xtXk0hs73irpWyTrzkyJu+/5fF1uOrBVYmuXzaYDFPaTDPhmNuVWkUmtBMFrhrPBi3PuOYwnLbvfPzk9Ucaj7HJp7pPdYy89YTd45obQbNsKwMN9lkwDYN1B4M1J0rPmFBXFfvSRs945MJZ/vEZM806aHmgW2VgWtorY90d8JCeMeE5ZYGp/bahOI3tUqVcTWq4y2If1dEEDtVruPFjp+KUfbbLdC26JM1pSakI+xHaZ8fUPtGf+86TFmGoniwgp8gQ7zV2rDLsdgxjCRD/fqwfKUcGfXReMYytfk2adh0iOgT93IUheslByaiBCWEmiD4Ahf429ktJp52QrpM+o5DoGQXjd1nHW3qESdc3KnSMIbp+c5icCR9SHDJ/X3kg3scsnw6u6CgCPWPIEOB9rzlMogm06eUEkrUy6LauZqwQne2m9U1ZmSHyRGjzCbfFPfGhuhPQnJZBPkSYWtvNYIJDd5mFd528R9d+r9NQ10mAIdPM/zzr/OsEm2F4YBkc9BMVqbUWxthr/X9ndKJBFSoUFerg9/SGbdpFnDp56mpTUUr3ms3JFv2iI043CDdbLlZuHE10rX7BUxvs9IU1h4FzNdMs+rwY00Q9Bov4ZG1xGMN7f30H7lyxAYCneAT0jLGZZuKz5Rjz6TfryqLyhL3mYfaU6ILpixc+gH8+tFrapk66Y0p24r9//0a84ae3Jriz8sKcaRaildAJJJ7Tjj0rdFT4nzFOrx+97kicvHe2+hNxzXzhwTukvmY/KHMDNQfHLpoTZKJy5f1LAlEGbJlmP3rdkbjwvcf577L+iSRZsOa5jtFRMeroBxP9ZoR2zPv85F/ujQ1qKCJMz181vohIY+DOagxPQwFJkDI1DKfPnZrOAEfyQQZPmQIy/vzla2WZKLOtxuAzk+Z2k+Ewbc3UooIZ/tYhrqZZFmPNI89uTn1OL6DqIrZ6kUCH6Bmpn3O/chTffuVhWHbeksTH07giBrXJWYz+fqVb1Hsp23Ci1jLTyUVAz+j/BwAN17XW2UyCXo+9urpkVgSODycSxKIzWHt1y4RjJKdZuWqaiU2dPmmgdw1JgV6J1+fPPiD4u6YE9zgMmDpUx+JFc4LtSVkWyrD0Eel9dVkvJpkv27jZCeiYaOLGiBmTBsJMxBKNJwDQ0GTpjzddXP5AfwZTdwO6wOxI3W+XB5lk400Xf7vTq/UsOc1KJksTCVlWbj8F8L8AnpNvUypUKDbUCfTkvecbeKPl70Qh88m/3IObHlsLIBxUk9LmicZ93Xj6hp/eiud8+Qqtg65fsWlbw7q/7meSkKF/oKavL+awKI1SoHAmbIvDgIvvWxl8d7k38dUcBz947RGR402TKudhppmaoTbgOwFV/PH2J/GFC2Wee9W5odI3TgSofaVzDOiSNl96+E64wlLvob1MszASsB3su/302GMimWY5rIz6wWlGmVJjTRe3P7Feev+SGlLEvhXfU1U2pg7Vsf8OM/xzDNey/k7Y5rxB7Z4xaUDr8IjrCyZEa482Wli1eTQ4Z+O2Bj74u7vybG5XIFHDCfdPBkrds0ozHqiGwl3nTEl0XqZIYOEUUxuv/vDJuPPTpyf4ffmSA9QfCX5DxAlfvSr2mDLgkWc3Y/NYM7KdMdkEZ0yMKf8wCkCWy7jnH+s0y/D7j67emuGs7kPVReLoGTtRfizMNCue8NHtmuhedZloACJCU7w7s4MbPkUE9Iws30yzNJTMeYJkP20ASej0ipcDwJMluaaZ93edapqVSFiorQzArMnlcJr1KtPsuD3n4lPP309qQ+h0j67z45oZnlN8gQneLc8bGCBkXzE4zSqvWaIAeBUDNQeT/BIeKptP0TGmMX78/a6ntccWX/KLBammmdJ7H/r9XVguBJQODXhuGDF+ux/sLP2KLE4zCu1LxitXoUKfQB3GFs7VG7weeGYTRhvhBLqt0YLrcvzipuV4+Q9uAhBy1m5UHD8mp5c4v+km8msfWQPAi0CcKNg6bldSSAlqtIQIQ82Ix1i01hl9T1o8XVfMvtXiqDnAYbvMwtsUKjzxeMlphtDBpf52vcawfqSB+57eGNseVUbKUvsjD1CvRegZlU9A/77pMg/ffuIiaX/bbWzzGr9/+zG49iMnB99fevhOeP3ihfJvdKAN/aDMcR72za3L1ks1DpLeninTzDZcxBmNtfuSNScT9pg/DZ9csi++9apD9cEfhvPEumX09zt+8S8c9cUrpP67Zdm6yPxWdOiMbIDdAJR0jgBkB+vDXzgTC2YMJzqvXSO66fQpQ3XMTEP35F+IsqClmn0TxPLCOcfpX7sGb9JkanuG7YnTJ+LdxRsf9cfaaANNNis6vyzBQOptmBxXIb1W/nJjo8HsNei+xaA2Sbb8T3Ws7UQwSTcR0DMqnyLCTLOwH5qt9mua9WpoCp51pP32BoX0ik4iekbGvJpm1Kct4XzGiuk8NkGU82nD5XCa9XLqE7MKxbZE2pSgjXROGZY+Ij1jCGZcEwdH9Leakgg6GYkzpzkOMIdYo0pWN550pyTjYJnGyl5CzO7cfZ5nH1a77k93PCV9pxId0tqzqmlWWGRxmtETT7bar1ChT5A0C+Gc79wgRdmPNVsRZxbVJVPTcNUiteH28HxbO8piRMgDWzWR3iLIQEl9N1BzjPSMkQw0DZWfDaqRw3W5l2mmIzlGaMDYPNqQZMDlPHiGKnUgGSqXnH9dbHtU50bT5WhOsFp46nsSPCLhWehqdDHIMbjLzluClx+1S/A9TQTle0+R+bp1b+4v3nQ0LnjPcYmvCXgZTDvPDrn5v/rSg/GZF+4vHWMQ6fB7BpeMaXwqEziX+6Llyu9fEpgyzax0mym3+xcE0JnMFMaANx+/O+ZPG9bKNGU9RLYH57PAmHOVTw+rLq6Irrbo+NcT6/Cib18fUOMCslxQLTLd801juxSNfWko+pIaSMXel6kT27OKvH7xbgBCWmnKNBOblanuWlut6g1ILG57Yn1kH4PaJ/o7LP8omh4m6tfQKBntFZ1TxHV5cH5ZKNbU4BxjQAK8MbQzmWb5XzMv0GOU6Bk1TtY4mtoC36IWaoaZTp6bQpoR3X7TdTNR9oroVV+1tIb9BOcJmWLqveuMunTIVQ95dGNippnDypXtK9ZCJhmZPlzP7/odmJF6GTBCMkZ6UzC+BGwj4bGxwYXonA6eN7ivvjpCxrvsBDJlmpVt5MwfOh17+iT7O+Ywhnm+Trx6y1ipnEsNjT3IRPlbnrvqLURz3wXvOQ5DdSe+Lp6fqVjRM5YDWZxml/qfi/NsSIUKRUeacezmx9dJ5wXZQ/6gStlPqhJjyuRoJcyGaEygCIWR8aZ14RVmmrnBdz09I4sojY5O47Qguojznm0toPWS9zMGLF21BQd+5lL83w3Lgu0r1o0E9Iyqg2IghdVDJ0fjGiWpn52s6vtKz1jsRd27pMs0E5HGAP2Ok/RFbkV5OG7PuThgxxmJr5kUaivFAthAcqPFR/9wd/B3X2SaARB7R1cv8nn7L7BeI0ummZGeMYGjrdO9HtS7SVHfjSH6jqljVlkWkZ/48724c8UGLF29JdgmLiopQ1n3pOLGg3998jTc+LFTAEQpd5MirdNLpPKi7+3gTcfthmXnLcE0v+i5vqbZxDC82MZAVZdQa+8EKMl7EYc09Jwm0bedJ1NXc/zXJQ/h4VVhHbPSOM2UZhprmnHPfN2uQ0SHwCFVwC6jd0qUBV3GpsoUEdQCK+JNJYBay0w3tATZIwjHFqqX3A56NV63WqHzSkRcc1pC9lA04zAKur83/vQ2AOFa2yllTTNh/R/Qdbb//HpF0dlpiLW9dN8JDPFyx4Jh07vGfU9vxNqCZhWF96nX/0y6i6kLfvCaw/HHd0wMU6/OoTp5sI6fvuHI4LuOMWjuNI+pYc2WsVJkIxL0tg+D08xwXx953t74xssPya9R/QLGMHmwjrlTh2JV/aF6NNNMDZivUBxkcZp9B8AYgNcwxvbOuT0VKhQWWQ2AHKFzgiLWySCnTlwmekVZ2Zl4mWYPP7sZy9eOSNu2jDUx3UJVQYuyRlOIMNQsNNXocNoGzXYT1ONcztF0w0wzVRdxGMPNj3v17a59ZHWw/ZT/vhqPr/HqdKgp2nWjBS4K0RFw/J5zAUDKoiDEZeuVEcEix8jfLjhMtPSMdp77NLYKk5GnG6D7HKw5+PHrjpAoJr39ya7z29tWBH/3hdOMcznTTHjPSHH9xJJ9rdeIM+7pYDJQJHkOnZYbXduMPxlEPUeP0UUvPrl+BI8JzqiiYcW6ETy40jPEi7KgyzTTIc74OGfqELafMQlA+jouwW+kPM8UMNAu6DLUH+1mmpURNmOrbp7XofyjqAdx3Ig3PoYHiHNzUtFct3Uc37pqKV72/ZuCbWVJnldlxqSbiBkleYOuWUQHk5oZAsiGXNquvk/Rca4jzesY1CehG1tagZMk3NbMwWnWO3pG71PnwLBByjRTnWYakVa7R840K1dNM/H+smbqTSSI9e8AcVyVj/PGRHtHBoFr/jWWnH8dXvDNeLaXXiBwmjkhX4roGDTXNNP3wRn7L8Dhu87KvZ1FhGk4HRDsLqftt520jzEEzpGbHltXqvWxLuvQFKxj0lfeedIeOPuQHXNtV5mhBmYzFk/bSYwjoum3Hxh9+hWpnWac84cBvA1AHcCVjLElubeqQoUCIt04JkeGiXW1gJAWTp1kW4ZMsaSZZv3qNDvja9fghK9eJW0bGW9Z0+eprynDipxOEQcZixozw8kv2cpENWq63FvcBJzqkeNDp5jJIKvKxoAhdV4HcQKe5tN46DLNtvSZ0+wblz+CW5etB5CMv13vNLMvSNMYsCMZiMGPJL5EZtBPOw5w6r7bZTKyXL90jfS9TIsCG8SeMFHfZumvTJlmlusdvNNMAMCJe81N3ZY46CjSxMXza358M+5YviF6XpCrF225zml23H9ehVP+++r2GttBnPG1a4K/xWADceFC62bdM0wjJjbnmw1Jf4MZ/s4LJB/BXMSi+9rBvU9txLaYWqW9hn0M1OsRfQtNNLsJUnauoMvY6K/EbWRkHxkPdZayZIuozTS1moMDPBpskweo/4sYxExGOccwnpAe1YkMvJ5CyezWGTJpHhKN360WTx1IoaJXY5Mp6ycOQU2zGtPWkFah3h9F75NeV5axA5DHC5KREjW/6yA1lMaLXDLNhP5+euNoHs3MHQGTqxD4KdEzmpxmHW5XGeAYbD5iRqy6JiT5On2/7XDPkxsKPaaoji+dHpvGxlTBDPHdu/rh1dZjhzQ1zQosRhMeqUmRGWOf9v/8J4DTAPyNMfYEgOvg1TvbFncNzvnn0v5uhQq9RppMM/XQMNPMG00p+0mdZE0RBpLTzGK00TlG+hVbxpqYMWkAKwxDjkrPSH1fcxhcxTlpomdMnmkWXcS1hGLdugh0ate2ht5IqBqg0xhcRXmZ6lNqUaaZKMcjBTdQpsXXLn84+DvJAkHrNEN+9IymY7uhmpLybzI0JXEIv+pHN0vf+yECKlLTTKK+8T7JkW4ykJsMVlkoj2zGqwN3moH7P/dcTB7Mr36Fvg3RbaOazFQVkXmuhPTA4vjrGubZWjD2RjsqlRM946I0i7G4I9kq/mc9qGkW/kYmui/hnC1jTTz/m9fhjP22ww9ee0Q7zewobPUGovO8/rh+WRRLFFAx84koH4NC9HbIGhjtFHELnd8wZIMWGUF2iP/dTM/ofca9Swumpy8pXgaHE+mqgDzS0hgbyTSjz3KIQQSi+HJuoGcU6PjoHWu4bmaq316D9HJToKIJgdOLRTPNdFBlRc00K5PMBBSdLAzGTGKgd1jaYN988ebjdsPpSnZONxBm4ylOM2UJzViStZgf1FHADF0VEj2jsJ3GjSSBpBMVNF6oz1ms86XOoXTOYI2Bo9j6iDpc0DsibjbVNOv74K8OIQ39rUzPWFw5mujIYon5DOT6tQzArv6/pKicZhVKh6zjmMt5WFerFi56aJ+IZgJ6RrUd4r5+zTTTYXS8FRRh1aGmUGHWHVlxHKw7kVpzhIDaILHTTP7Og0yzaO0X77osWMSZHFfqxGlSaLTnCnI1dcijsBxrtvzPUEb6eXI23ZlEz2goIJ4fPaNi5OniSj3INDM5zTLowf3Atc3BpfdRHlvDxbbNyGiSAVufGjPNYp5Dpx1maRGIMAsXmORgbJR8/jFmmuXkRM9quC7KopWaEdY0C5HJhqtZKF7ziD0ys9fgFhFXu8BMz9gf826a5y92hUh5FNAGajPN7P1UFv1FpdgzGbxd7smGbUy58WOnYMpQ+jnBZBQsAhbNm4oPP3dv/NthIdWT2AWk+kbprpXgt5LlTIjPgkMvF9pMM9cuI0VGWL8u3Xmi08vI4CBA7Z7gdx0Gh5Wn3iqg0DO6nh5B2778bwfia5c9jFWbozRgugDRbuKTz9+vJ78b0jPKa/6gXIJEK2wXRF2mWVEhZtTp2HLMNc3KOZbkCVqrq0tcMVg56uinTwbX5daAql5DnVt0slDg5pcKaeyH1OXi4yhyxuJER1ZrjCoKaUbcShoqlBJZF5uch44KctwQNZ86b4l1rN76s9twwI4z8N5T95QmY7UdYkaSjh6rX9HiPOAD1iHI6lNoEElZGBKcZpHIRVKGMiqTLud+sW7/OpoIdGrHqCHTTM3qSWNwFbMkiJ6RZFD8vX6bnMXIyuyZZlH6F/k32l9gdMMITr9gyoTJ0gK1zl4ZEck00znNEC1UL8IkAzbZMNY06/KCtV3RE3xmwZcaY2iBR+afskmLOOaKtSadlPSMH37u3ti0rRHZnrmmWYbTOiFV9HjJ6SGOLe3ShZGwJMlw7CX6OdPsGy8/BHOmmAORVMj1HO3HimPjUF2TaRbTJzr9uyz6ixs4CshxpQfnPDI/qaD6iGlRZOMvYwzvOnkPZVv4dy2gVrc7S4roELRBfRY6FhExy4juPo+aZr2C6LwSEXc3rcAR4kScp7p+U7tHrInmOCWraSb+7dfkJbk4bo+5WLd1HF+95KHIed74HH+jRRwT2oFaI1EMhhPBWIJgj/yb1zGIzkFqN2MIbsJc06zjTSs8HEMficHK6vwTUDoyP1O4wIOK2jKd7aPAzS8VAmdqgmNJ3ES5K7IcTXRkcZqdnHsrKlQoAdIoluKhXqaZrMSRcTFS00z4fun9z+LS+5/Fe0/dUzLmqe0Q900kekbOZZofFWpfq9RYQ3UHm/3rRJUh7zOpMqnOcYHTLIj2kiHRMxoyzZrKs0yj2IqGPdVpJtIb9dtiabDuBEZXk+JhcpiI+21dXZYFBrXTZFzJlGnWBwLDYXOaeZ+M2Z0ADMAHT98Lf7nzKXm7pU+zZpp1E2mirxkL5znHAdAqf9CGeP/i0GCjxtU5SlUDcHidbA87i4G0E3JFmaZ0H+JPZPq9mKzfIsKW3RSth+HgGy8/BJtGm/jUX+4Nthf1Ttsr6m4XAImesa7JNIuhZ9RS15VEZoJsIb8LxgyBUknpGbOgbJlJ4rsU1DQrqaPIBFF8OedaGQ+yFMEkx2fp6Rk1DgwbAqdXjUXmYx1tuCjvnPOwJprDJKdTGUB6CefwgzFDesaaYw7yiwu0LNmQkBhqDTNdzUTAD5CMeY9smdBFgyvMM5v9euWCz6xymllgqnUoZsWr8w8NQw4rHz2jK4wphCK3v0wgKalr7JNq2QfSe21sYhWKg9ROM8751Z1oSIUKRUcqp5mUGSbWNCPKQP3FTIYjqdaKcoxIiVV2eqw0cLmdsrCuOM3URaZcV0ONeqQIomTapGrwcbn3nByD981hYdbOVqGwvQh1IZikLSJ9C2H6sEfPSM452TDcX7PzQC10mplvLexHnWONwd7X7RifqE22K/z2rc/BsxqqlbQgGTa3N/199INSzblMzygHJIQGKhovpg7VsWVMfkcZY3jPqXviPafuKW23ZpqZnGapWt97iH3EFeNEZF4rmbiY5DvIGNbuS/4Es9Y0y5KZ2okMRnpXAnpGMdOozd8ry1xka6f6mBjzHFFXPvistL0ktxoL8XbTROzL9Izep7ZPFKeCirL46FUD1UZNFirg6ZFeEFf+bSADX1lET8o0M2T6qiJRNpoxrvytW/8FcxKT76/tzN4egd7ZtO0PaR0ZVFukVo8XhGWs6QqZZo6vu6T6+Z5CMmxzLxhTypwzdGVcF8+Y5K0ND991Vh7NLAxCekb/uyEYwcs0i3Ga+Z9lyGLVBV1IgSeG+bJs42YnQONFpCyG8BJFmQRoje0HSmsGFS8ztPf9a6JnVAP8dSgTlW0RQI9bF9hCrCwE6lp1jK9QTBSrWEaFCgVGVqMO5zxCAyhG5IuTqmlyamqiEEYbLXzsT/fgNcfsGuwbK4sVISMaLTcwuHDOtZEchLCvw8WFtF9Ku5fPpUkv6bpO99iaLXOmGWMsqGtnqmkmUuG97IidE6m1jkbxmz1lEACwZcwz1PQzd7LoCE1S9FgXocoYs0be5UPPaN539O5z2r6++BumVyTLbej6q2xQ78CUaUYOeV03ZalplmdtuU4hyeKOeosoSYAwornsmc4mp1noJIruS/P8Op1p9rWXHYJvXvkI9lkwDVvH9PNKO2gFTjMKKgn3mZq4+7wpeGz11thrl2UusmeaKd8L9G53AuL9Ja0NA8iZZnGUhQRtplkJ5qPVm8fwzSuXAvDu8R/3PIO/3/2M9tiWG625mRfUrIsygdoezZyJGv7KBCm4kuvHQLEenuRILOngQvecNtOsKTmJmHafCHE+2jrWDI5xmPevDE4QArWV6Fsdh4H7cVyOw4z6QdxaZbvpw7j4P47HbnOn5NreXiNwzPr3T87BfbafFjk2aTZeGYbNIMNOWPO13NC+ZDLGl3QoyRUhPaO8XcxqVV+zkJ7Ry/zUOSXj6JZ7hUCPFWSiH4JiiwB633Tjcs1hgLA0ox53JV2geg5FReU0q1AhIbI7zaLZTiL13ljTxfBADYA5clZXd+eCu5/Bn+94Cs9uGg32jfd5ptnWsSZmTvacQBx2ekYyepvqltUEY42NqzorxGLd0Qil0ClmUlSaggZ25G6z8ciqzbG/SbcoXnPOVK+/Nm3zVlkSd3Kfzc2iMS5RTTPNMXHRh+0E+HZzoc6MhiZ/f4ZrtgRH7q3L1mHRvKmBU7ZUEB2nrejYyiAsljQdla2mmWl7b1ZU7coig0jPGA0GCQ4qEWjcHKw5kgOQsnV1SONE73RNs70XTMO3XnmY94Xl7zQLDJfkRBT2mfphqF7DQTvNwN1PbrRe2xQFXTTYDAvqniBjXXkRymSwtUG8rzgRFZ1qot4WbNV0idhPuj4rQ0TuJfetDP52Occ7fnm78VjS+TphZCsdPaPQXho3Y7NCynWLEijLUEVL0ElElDbTTGPYT3SeQM+ozqM6XV88YmS8BdenNWTMc7qVae0jBzqGmS2A3olISCIj+yyYnksbiwSVnnGv7abhd287BgfvPAOAEuwTI4eB0yz3VuYP9b4B32nm/20yxpdzJMkXpqASmc1ItRP5W5n3XmozzXJtZXa0k2lWIRlU2dmqMNRMGawZzxHXFZXzsrhIqbZUqDBxkWYYkyeisJ5UkP0kDIpjgqPLNFhK2/0/n1w/AgCYMzUs3F72mjJxaCrOQ1vkPilBTddF3V8sSfuFcyNFqUkZSqhO6iKem65rvI7DWOzEqN5rGuO6qPzM9eVj02gjsq/fIlpEp5mpf0Ux0NMz2ns6D6qFbjhKAtnL0ZIkLgpe+r0b8e/fvzG3a3cNXF76aJ3ILMym0RkkTF2aiZ6xpCtWxkKKo2BeU4M2Sja80JgrjiMAMNWvC6l7b1PRM2Z82FkM3p2QK5ESCpDbZaMfNY1BpvewyLC1M7KLKZ/BgXm2qHeQM82Sn6fPNNMYnLj+b0IZMs3E8SFOxBstveMkD4RGwc5cP2+Iw2rgNFPGWh21UZmgyrdOZw0zzeQ1TFlrmok0iyLidGJyKOtqeDU15Q5EWdk67mWahc7X8sw3gCDn8OkZhZpm9kyzLjWwYKDMuV1mTw62HbXbbAzVZaM1OVBtILn0svyKLTNB0J9wT80Exvgi0Af2GrqAY0B2mpkyzRzGAK7XR4oiM2ozaC0vbjfXvKvkIw2ou9QM6J1nT45oufRdri3XsaZVaBO5ZJoxxmYD2BHAdABRV6oCzvk1efxuhQrdRNbJj4MHUesUoS0aF8caLcCnDzBNWrpMsyfXbwMAzJ8WOs36PdNMKqDJ9YU2CUFNsybXLipsRgRSEpLqCrqn1nI5hur66zAW7+BUlbckbaFTxHNnTvZka/OoF/XSz4VfxVoppih0x7CgIHQ006yL3U3NNC2oszRFlZelq7ZkuEpvwWFeVEo1zXxZ0nWfaRGRRjZmTBrAxm2NQixIKFvwNcfsivP+8aD1WLEuHxm6TTXNyja+BNHbSu0xGz1jmmeePdOs9zICRJ2KMj2jwTHGkvVRWYyY9kwzZc7udGMKhDQyOqipaXbumfvixd+9QaohKfamLQunyBAd5XEy3my5uH35+iDQKU/QO1j8HvMg1e9i4t+hnhsYnEpzVzJUebDSM0IeT7LOJb0G3WPa9lM/1DROIt2YLOpVW8daaPnBk/7OUjlaQ3pGzzAvZsrVHWbMKCurjLSL1x6zK/bbYTqOXDjbehxDgj4Sxs2iq7Nh7bZwm0fPKO9XURD1sqegOUbtowFH1FWiwc/epzeuPbF2JHLdoohMJNPMX6uJ2ytnTT4IHe3RfZFtHHhw5aYgqL3uMMnW/PSGbdh+xnAh7AQV2nCaMcamA3gfgNcAWJTiVN7O71ao0CtkVbJdN3SSkTIjGmqP+tIVuOA9x+GAHWdoF02uy7V1d0bGm9I1gYmXaTZYM08kNV/ZEeugSfsTUKklnah0svHUhlHsvWCqdD2Cw5g2OlKEtJ8nM8BRNJyo+A0P1DB1qK7NNHP9CXvhnCkBRWiZIT5nUxR6XD8yAMySg93OQjRwOHRB/6HfyHPh3A/jC+dckoGWwAsXRmqGTnfdGGCsaWaRLnWMCLNQuwtdGycP1rHsvCUAEOs0Ey4kFB73PhsKx95YyYI4aMxNkxGWZjGTdeGTlsoK6Ixc0btC1KWqMVvbDpZ07mq3dd1BGudeEHyjbC/JrcYi6zy2aP7UyDUO33UWjt5tNh5+Vk9DrdWNS9CRokE7TnT+ce9KrNkyjjVbxnNvR9mMLmJzRR2m5jC4LTlKvgxyoIPqFNY6hg01zYoSSJEWgfMrEkloP68p1KaOOM00HaeraVYTjNyAXE+8yAgzzTxbgHj/DmNmCnZ/+y6zJ2P5uqhBv1/BGIt1mHnHxb9HYnBt0QN7Aoe0cE/imi1JyYKJiiT0jKqOKzIJNV2OV//45sh1iyIyajNczdxpspkUJVuuLGDC/CKC82iADwfH875+bfB9oOYE89ldKzbg7G9fjy+dcyBeefQunW10hUTIRM/IGNsHwJ0APgNgD4RBUEn/VahQOqRZmEm0G+AhL70v/WpkHNX70NJzcI4fX/e40A75GDG7TJc5008QJ3XOQ8eYDmT0Hm+5+kwzizOBnlNSf4NOGV2zZcwSfc8iBmYVTcWYnzTTLFrIlmHacB1b/EwzUca2jDXxvK9fi//4zZ3xFy8BktEz2jsyzsibDz1j50HOkTyDTZuBsaq844yXaRZ+F/2AYlT3QIZMM5uzVUUedRO7iZP3nid910W9q2Ix2si/rlYnQeO4Sbp1zyor5WIaZPmNThgDA8OlJljFNJ8yxFMgAeXJSrQ1U5X/MLGBKceV417TII24vf3EMM5SdrzKwUSyHh1FGegZxdcizuj6iMFhmGc7yiJ7uvkFMIxrJbknFeKzIIeIilAnkcNdykrP+LEz98Xxe87FiRZ9QgdaQ9ccJ0rPaKBZJ4yMN72aZgrldgmGDwChnHBONc3Ce/OciPrzaiXTMbsNTzeJO8aDF4xabIEhk4E4Rno1zVjwtw5lcBx3GjTHRO0nYv1VuZ9EuteigyvmppCekUe2VWgPwZjhf1KpB5dH6bdVM2C95mUR3/joWnzv6kcBePXjKxQDqZ1mjLEhAH8HsBCebFwD4Dx/NwfwWwD/BeD3AFYL2/8I4LMAPtdWiytU6BHSLDalxRAPF/dB2q5iAiBlTKeUcQ7c/8ymyLXpWuOC1Tcue6lseHbTKFYIEXIqlZrDzJk0tEDyMs3M2SI6apfAoJ3QvRHX66pO6rD4ZyXda4q2kLNt59mTsMf8qWDMi8wkhVlUCsnherFQrL4s2DrWxJ0rNkjbhhLQM8Yhjue+LXrGLuYYdCLTjGSrzLo197M2v/LigwCo1Lfep8OY4Bgwjx3R7cn7Wiwi3U3M8+l8J6XMLFXlyBFoJEz33YwJDCga1m4Zt9Y70Y3B3Yj4L4pRg96VwVo008xGWWqjbiQU3SBFsDn31F0kL+rdl+RWY2Gi0LNhl9mTZSeIeD0mZ6uK86XOQVYGR6vYL3HPfbSDmbkmo2BRIWWaCV/EvwPauhx+b/3W8a4bp9RMMys9I5PHWFvQX5GxcO4U/PxNR2PyoEw4FDfHifU0o/SM0fdGzjRroelyoRant70sc45Y08zlXMo819V4IwQ6ZmebVzqIsha3PgqyRlD8eTuocyfcUrOiZ0yEIKDdkmkWteOQU9rcgaIOc8PSNVh47oVYtzX/TPI4RGyObuiIJ5RBnyoDmDK//Oh1R+KsAxdoxxB1Dqo7DK7L8Yof3oR/3OvZ5arXszjIkmn2Rnh0jBzAhznnJ3HOPy7s/zXn/COc85cB2AnA+wGMAXgegJs5559tt9EVKvQCWecTig4DZG5y+ZioQyPYp6bzKtca6+NMs6O/dAWO/8pVwXeZSs1bOJomFFogNVv6mmY1R9CGFQTmcuW0d5xkYKKNqZ+l48KOMyirEddJFVs675VH7YrLP3Bi8Ht0NdGhW2a6vff8+g686NvXB7STgKzgGukZ4yILmf2Ydozkz91/AQBglzmTY45sH9RKU3uzLADHKdMsY5uKAA6PkkeX9UvvJGMhl71uTR1npEiGdI75vPD5Fx2Ar7z4IBy+66xU56n3LNbVMBkeyja8PLZmK1wuvxt/eudi6zlZqBPTIovjuxNSFRgua9EIdmMThXfNhrKoLjbDwrqtY9J3033PnZZ/zapeQLy/JM/4b+8+Fn9517HSNtnxGtV7bChDZLRMzxi2V5cp1EmjVfno/PSG7ZrUn97nncs3eGe0cYuv+OFNeOn3bsx+gSxQMil1j78pOc3C7RZm+lIibor70Bl744S95uG0/baLZF7r9AxR3reONyVaQ1qPkcFy47YGlmvqERUFoly0fJrJg3eeCQBBUKQORQm2KSqS0DOK9Yls083ytSP47a3L82xeaoR06fp7ylqyYCLg42fti4N3moEjlHWROE9HGGX97zYZEmXm+9c8BgC468kNbbU1C9RHT/OKFJhUAn2qDKAxg/p8sOaAwQsyNSVMEOo1p3oOBUaW2mIv9D8f5pz/t+1AznkDwDcYY48B+CuAXzDGDuGcP5nhdytU6Cmy0pq4nEcW9+oERt91i+ZoZIL8XTQyNMtmpUwJtaYZAyks0X6jhcSaLWNSij0h4LDW/I6JnnGw5mCfBdPw4EqZRsckGabJL32mGU+s2NJ1B5QIKVfjmC2z0+yO5esBmPvR1L2xTrMYOrF2jE+vX7wQLzl8J0wbHsh8jaSgBbO5venHM6rNWBaKJx0o04z6RaJBJXoTMK1jgGDq0jSyEfDhd3nFOnWojn8/cufU56n3xiDUUDAYbcqq/IvtnjYkqMkpHKh5IktSQSeaRXqMvqaZwXBnaYsoHmWRFVs7o5lm/qdy/28+brd8G9UjMOnveIE7aKeZ0WuIjje/NogOpnq/RYdo4BebW6+Z7xUADtxxBl56xE75NcQcI1ZISA55YQDcMtaMHPunO55q+/dIp+9mnSs504xr5VlkKRFbNVgvfw1iEXHz6M6zJ+NnbzwKALBZCJQD9Jlm4uXWbB7zM80caR8NKWd941o8tWFbUNe1aBCDbVucw3EYfv6mowIWFiPbiqUubwV5HWA8JpAVOz3jC751HTZua+Alh++cK7tHGgSZZoq5g1pjKglRyQew7/bT8dd3HxfZziw6blqK/V7OveqanWSlIRhKaK75yosPwkf+eHf3GtdnEMcMwCsbwpg+MEb9PiCwQlUoHrLEyB6MkIYx0TU5538HcAGAWQDekeE3K1ToOUzD2F+VyFn12LO/fT2WrdkKQDQs6Ccw3aIpLp1XNPr2W6aZipbkSIKUMaKCIoTuenIjNoxE0+Ftim2oKCmGYqZXME3KNG2ORijZDSZAuBBcMH0YZx2wfXCRd560CN94+SHG84iuU6VACoumi5k15ZUXkgXxMYr9rFtIA/HGvSSZaFnBGOuKw8z7Le8zzwUcOVlLLDbee8DChaU4pgR/My/iC9AvqvPIDjPVO+o1lhy0vXZ7ZCEuZK+aRKwsjpAIhGaLz0d3m91xmqX/jU5kMKoBGUkyzWzR3KJ0lEVWUi1o6R1XnkXdVISmZJDejYziZruG7FSInjvecvGxP90jUXgXDeKjFmVcDeRS7/3v7zkOrz1mYW7tCFYeJXnPxO4w1XTsxJ10U7eRa5rpx0Ax00wUErF+bz8gzfARpWeM9ps45zy6Ziue3TQa6DBBwKR/2lMbtqVqa7cRigUH516m2fThAey/wwwAeTEfTDwwloCe0f9U30/OOf71REjnunGb58jtJSU5BTVF1hT+V1OQbCUmyRClZ5Q/dSjKdKsOkTRmPu7bJoEw0PgwJduuaGvUsoCe/VDd8dbLPDrH6zPNlAtV3V8YZNG6ZvufTyjbqeK7iXfqQniP/vkZfrNChZ7DZNSpJ+DJ+OudciSkKXssCT1jxGkmZZoVZIbuECSnmV/TzLRgqAlGia3jreh+iyJAe1RlSI32DNtivFRwngiHxWd50bP8x/uOx6wpg1LUus2ISnUZRFoBkZ5RcpqVONMsqD8lOQfDv81Fj+3XjYs+LAvNEfWFqfZFGmX+EJ8KhmS2m7XZOgEmvMmi4zhcdHoRX4D+eedR0ywo0p74jO7gvafsqd0epZgNjX7GmmYlnY/EMTLO8JSFnnHHmZNSHV+U+jVkEBqoRalLTQtr63gq9LNoa7r3qY141Y9uwlgzOm/3Cpxz3LViQyrnXrepV7sN8e7ymBYjMiTKh6bfb1u2Hr++ZTne/9s72//xDkG8JzXTTESnjWtlM3zJ9bv0x7z313fgrT+7TTwr0bUfeGaT0XnYTee9KA+URaQi0Ekg352uTnOZkUY+1flEp+uLh1x49zO49pE1Qoa0t70sgRoEzr17Ve/f5PghvaG/JCVPsHjHor9fLLMBAD+/6Qm8+Ls34qoHV0mH91LnjdPHG81sa+IKHkzvXdKaZr3sZnXNrhszXU0gMlCeQJuigOSBem2g5viB6zyWOaxeY5F5qd/XEWVCFqcZrWI3KduJr0wfpgxs8D/T8wJVqFAAiOPY1152cPC3dkCLmWPUQZEmJd2iKVr/TP5d0ejbyyinbkCmZyQHkv7YuGBuNYVahKkWGaVYqzA9blJUohFKLDE9o47GzabkvvOXtwOQnYZgocyJtzteUqM2oL8fOdNMf17sGonZ+7cbNYzyQJBploO+Nei/TEFNs/KKjU+/FPaPmN0bUiHZgyHyiOwNDBoF04eTUk8yFjo6ykbP+KWLHsBBn7nEuF9stVxzSedATfcArz/3FPzjP45PdU5h6Bn95x2+G3Jghr4d5mxwU6bZuX+6G9cvXYuHV25po7X54ne3rcDZ374el973bOJzekXB2i2o1IptX0/5zg1/E7Y1iuNUNUEOzgrvYrjL9HplE0GxvbYAt0vvT/4+AsBNj63Fmd+4Fj+9YZl2fzfnLMmQyfV6VaCTKOPoUJ9lmqWZ41R9Q8eYoROZmhIIVVT9RIW41mm50SCa2CCusr38HYbYHXEBSUFNMz/Lj3DPkxsBAKs2j0rH99JpFtQYVnV1/x7GjZlmlYDEYdbkgUgvxZdAkMf0Xo426lCnc5q1YpyuFZKBeo/GbZGeUYVqfxxwqppmRUYWrWul/zlL2U4VMA8xnLe7/5kuxLZChYKABrLLP3Aizjk0rDWgM6JHnWKwfrfRM7qco+6wgDYr4Df3P2WnWX8Ptm4k08xcf0pXx0yEnZ7R/1S2O0xP+/fdfz5q/a3odVisg3PUNwhRVD9LYKAUIRr9GRDM2KJslrmmWbiQTBcxHBfR2smaZt0EtTIXekbmOc7KLC8EDjn7Ra2TCHgyota/EJHUsWQ7J4hSLNiC1WyAUb8zXLd0DW5fvt5ceLygyv8PrnkMm0ajtXEIYrtVmlsVaceDHWdOwvSUFK02o3E30VIyzRLRM8I85o42Wjj6S5fjqgdXaWWlSBmt9z7lxQk+sTY5FWDUtdi/yCfTzLyvrNHOjkTPGP49ZajLTjMKEilJP4r9lifF9BNrPTqq+59W4349dDPuUDao6msmNYVAHlFX6Dd6xjTZ1Op8mLS2YV35jbIsl0ksSEbUgFAj20pB2QyKAsbidatgt+LUpoCNSYN16XhT3bBuwJQpRPdANalVFES9LCwufO9xuPT9J2rZNoAYvUWzrRfdHXGa6bKaA/mpBKIdhAH53udg3fHYnnRBMRF6xqqmWZGRReu61//cW9l+K7yx4AWMsdniDsbYIIA3+V9XZPjNChUKAx1ln4posUfFiWY4Xpsyzb2FE0UWqjqZ6MQpM91eEkQzzcxR7HELbdqvm8jomro6PqpjMglNSoRinMU7OEkpp+ceOvKSmdmj9Iy+Y1b42TLLC4m9yQZkpGeMua4texEoT52AMMuh/QY7zFPmaNFVFsObDjzIUPX6RVfTjCF0OmtrmhmzapK3IzBoFE6e7AYYgsMYntqwDf/2nRuMY21ZhxdT9qoOYr984+WH4PWLF+benqJQq9GcNaCp92dqom08Xb5uBM9uGsPnL7y/8AbMcX/sS0LHTWDhpN2XkCj0cpBR9QqSU6Hg8kG49L6VuEzIfpLpGcObmDIkG1s7jaIFZ8RBChLLUemiR1CEQA9Vvm3GMpUBYbDWXadrp5ElS5+QNFiUnnnw7EsypojBI65f00yESf/Kcw3QjxCD52zHANGaZhTUOmlAfg+LkGlmet5jLVdrr6jEw479d5iBedOGtIxB3qf5XKluZQ+VmEgtLQs9YyUP7YG6L8g08+kZ9ZSY8ve6o6FnrJ5HYZDFaXYtPJlQ+WV+439OA3A5Y+x5jLG9GGNnArgaXqYZB/CPrI2tUKGXoIFMR1NlOpagDpXGTDPNpErGmsBpphzTEGuaFd3y1CZo0iHlg8G8oBadRmqEIRCXFWLOAlGVDZtzTqXSJNz02FrcsXyD8TzAU8prDkM9yDSLts8GKUOChZOznGlWXnkJMs2EbSYDlYSYrrNlRqi/UWRQO02RlGmePAPDgJBpVhYDpg4c3M8m9L6rjnjAe1/U+hdJkKouR0HrTRjvN4MjuazOVZHGJs4xxAQt+uxDdsRnXrh/7u0pDj2j9zzrGtk10jNazPWieIiyUkSWaZKJgTjeZwElmSpyQR63qsqQaGS66fF1OfxC5/HWn/8LbxHrbBkcf5MHe+P0KM2QLIiCTn/PCnGO1+/Pt4M2jzZwxteuxr1PbbQex2F/NozJ4+hErmmmQpulrOnLMBBKf17SjLVug5pFjlVd2QAdqowROxhjsXT7QX0iLgecUlDr8IB8gV6WyAhrmgEfP2ufYDtJQaPlammByxZQ0Suo71PECd9j3Pf0RvzPZQ9r96kjm85WGDc3VkiHINOs5gBMPzaoGX8DNaeQ658KHrI4zf7ufx7BGNuVNnLOrwBwGbzx+WAAFwJ4AMAFAI7yD1sP4CuZW1uhQg9BA1k02kRzbMzCS404oa9ap5lvrKG6QqojRoxe6GWUUzfQcjm+88+l+PF1jwOAlZ5RdBrpHFu2dTjt0kUWqcpGEoVJPWTNlvHYcxotHjzzuOvpINJTMgiZZoYaeGVLCSdlQ3yXxG7JmmlWi6P1LIlGSc00OXXT2IYY85S5oKZZu43rISjTjPqnpXkHPCdhZxdEYaZZseTJ1J7IglF8TUxR+yUbUwjiu6F7/kftNtu6P29koSfrhCHEnmlmjnY39ZEoHVJtwQJa9seanpEsTWBSoEdMAKNUJ+gZxZ7+1F/uRRkhOYOFv+Pow/OGShlUdCRxyEfOUQ475zvX40sXPSBtC+sMG+asnPvnrhUb8fCzW/DFCx+I7FOzENRxTx33pUyzfqNnbGMA0Y3JOjkPapr5n2p/FzXoNKRn9DPNInIRvwauEAVDfB+FSYlyTbNt454+EKmvV4BMM8dhWLxobmQ/58DQQHTcKNgSpLBQuymsS20JnO5ge1QsOf86nH/FI0GgvQh1LaZbm5lqmhVtjVp0UH9NH/bYBBzHWwPogtTFMaXmMNQcFnGkVb1fHKTWujjnDwF4HYB3AZis7H4pgCvgB+sr/54CsIRz/lQ7Da5QoVegYSyq3GuykZSxMVLTTD3eP2Gzps5KkGnm0wBEapoJUfFFVfrzQsvl+MrFD+EL/gLUYWbnVz3GaRbQM2rOZQaDNmNRpbiTE5qOdxpItsBUM81Cx2x4jHgvOkWryBAXkgSxW4xOs5i+i6PfKkpUWRzIUJsHtRFjwGCNBWNNWevLAH5NMxbKgUghSO8bY4IcdOhxhwuuzlw/K0zN0dU0izvHNH6VCeJ9058H7Tgj2NYNJ3pRFq1BplktKrvmWnjM3H4p0yz6O0USH5ofR8bMtfBUhPRYnWhRsZBWRp+z+2zN1mwdVSAxicBEMdltmaCfK1KdQBtEeRJ12Q+dsRc+dMZeia5xx/IN+ME1j0nbgqBD05CU86AzfZJnOFs/Eg2U48rfqs5aV3SEvq5p1sb70EroqKgrRm51idDLLCE7wvmw5UbpGY06W1CCoBzvfLcg6y0xTjP/U800G/GdZmrX9lKGQqeHUtNcuMchXabZBNBP8kA000z+1KEXr97PblyGt/38NusxurVZWBNPvqFq/EgH6r5fveU5+NTz98O04QE4TG9jE8eUgZrnNKv6u7jIRKrOOf+5YfsmAKczxo4HcBqA7QCMwKt39mfO+WjWhlao0GuYop91Coe6+KFBMHB4aegbr354NT78h7sj14rSM8r7RUeZrkbVz296As9s2IaPPG+fyL6yQXUKisZvFWLGkM6waVOWgwKvynamacNWX3nWIVygZ9NKxUlWcg4lOLfuyEozNVuUY5GGbLzpYlKPKIPagWSIErYb39eY68UuokqywAgyzYz26jQZEwwD9ZCescy+eU8swgxVcfEgRt9RJkCnHjclkRZNnEzyH4k+FP823ERZM81EiGN3GEwh7u98GzJlmnWgXaTXUKZZEuOTmNVpBJfH6yI6W+net47rnWavX7wQe243VdlatLe7c0grbz99w1GRILFIppkvBqWuvWrINOt6FghlTBTv1dJC7B2xr959yp54Yu1W/NelehqqOMTdft5TFvW31mmmOFTV36b7Du5e6BQTC0VZ0U4w2u7z1XFX/5zpN0JHSDkyzcgPs3T1FgzVnQiloFln8z6LEnRTNNiy4MVjAHNNM1u5jG6D2sIYk5lmhFvUZppNID2lLRgCB6291wNx+IImq1mVU11Qseh0rZAd1H0L507Bm47bzdvGZHsbQXwuA44Dh7HSsT5NJHSkEjHn/Fp4tc8qVOgfCKnvIpIo+5t840ArqCsl73c5x9UPrdaeG1fTTKwzohtsidamH5xmf7vraek7Y8ycaSZ4C47cLRrVTM9NZ0RgyjHiOVmoo/LUQRhDLA87ANTESDMAJMBi+8VMs7FWC8BAPo3sIkzOH3Ommf16cfUz8ixK30lQK/MwzhE9Y7AgLLVOx/3FsvetJSiyYqbZxKVnNG03z3umOyii8yMtdO+P2BfdyDzNVNMs/2YEGKhFZdfURvFdUyGO3a7GeV0k6SFH4YghSOYFB2+Pw3eV9YwwQ6T/kfYehwdqGB6Qg3RUOaHnv07jcCg6LrlvJb555SN498l7BNviaF87CSZpgcWHzSFvMvIm6tEYw2De1LCUebJ+pGH9LZX+DRCMshrjbB6ZZowBZx+8Q9vXyQNZX4efv+ko7L/DjPgDEa1BpD7ppBlr3QbNk3et2AAAWLxojrTf1HfhGreY99VrMJZkfRT2odiLY019AGEv6RnpOdcYM9Y8rDLNskMVFeo30SZwwl7zcM3DoS2PpOYblz+Cax9Z0/E2mqAOAbp5jvTuoq1Jy4Kg3zT959Ez2jPN6jUGx2GRMaV6HMVBf4UqVajQQQRRPMr2NOOZyRjkcrPxf7zlGWkGDZlmNBAP1R00+jxC4e+K08xW00zc/s1XHBrZb1OWw8WqvJ2xsL+P3WMO3nHSImt7w/oJ1sMAAC89fKf4g6gdCaRuQPCsOY5AZyiIiEglUTZ6xgAS5VHYL6a1S1zfiXIxa3LoRBxQiogXHaH+pm/wzEmD+Pu7j0t8Pa+mmU/PWBrTWxSce2M2dYsYXSzWiySDbqcUVkeNIi8IzE4z83eTjF3xwKqcWtVd7Lv99OBvHT2jKQuiU8hiYO/kwpeimJ0EMsD8/3SQarUI008RI/7pGWw10DPq7p9Z9vUb8rhHVU7ICLh+a9ThUHS87zd34N6nNmFbI3SyikEEXXea9VAEf/bGo/DHdyxOdY4oC7baXmnhCnO8fn/OTjNfEdUZzCJOG7WWieJ0F9+xPJxmj395Cb7+8ujaqBfI+j4cv+c8zJ4ymOw3HPot7zOSJVRQekZVJNX3wVjXewLMO+0iTn2j/Z6OEg3yidbF64wMfeB3d+Kwz19mPYZ+2mEMdSETVbzFIc24UUlJMpgCB8XtKu00icfXLg8zo3uhDybKNAvoGbvSpL6Dbn0Y7GP6AP1L7l0Z/F2vOXBYMWs6V/BQOc0qVEgIGsaiRTKTX4MGwwg9o2WQHGt4mhDRcfDAeef9MBmYhgZqaBVU6e8UbPQKYsbQlKFoUq31uZkDRgLF4nXHLMRHE2bvJRGRsw7aPtG1TO1SIdU0A9Mq+SKVRC9pJdqB2GqxW7K+C5Sh+L+vPxIXvvf4YPuwH6FXtppmuoXzr958NBbMGMa04WTJ5owxDNbCSKky63QcRBnn9Ytu8cAYAqdZp96LMNOsI5fPDNOCLhplGd/wB1duzqNJXcef3xkaeKX71KyKurHALNqYE2SaCR2RhZ6R3qzH12zFq398c7C9iPQkFChgyjTT3WJAr1asx9cR5PEemPpJ53AoOnRBSqLRVe2vXWarJcI7hB68WifsNQ+H7zor1TmiLORp/Kf1kzHTLGdRswUASHqUjZ5RcZ4BYeZrvyDtHPf91xyOyz9wonG/bk0d1Pk16H5FnHeAqFzYqLKl7RNg3skCsVvimENI/+Oca9c93aL4/NPtT2HdVnvGdUjPKI+ZEj2jzmlWCUoiROs667eLKMqIQu3Ybe4UAHItb8J1S71MuKKtN8oCS6KZ8R2jPgeAAYehlpHNqkJ30F9aV4UKHYRrWGyl4YOmSMJIhKHLMTKmN8ZQdseQb8QNo7O9PyiScajulNbxkRWOxSAXlwFA+3VZM/RM1WfLhAktTYZBEqU0jhZQLiKf4Ho1WWmm00WdvtEqf6aZ3C/h31ntbPRcT95nPnaYOSnYPjwov39FB/WFTk738GvvJFWOmX8dGmvKrNRxzsEMNc0IDMBk/3mPNcw1CwmfP3t/HLDjdOsxu86ZgmN2D2l1nIIa1E3NUQ2XugysfoFIG6cblsV5oRsGh6LRM9I9i+3KUgzdFCxUROMlzSfPbNSXZtaNpRPJ+JBHXRSjc7V44hALarIoy6JBteawYI4BgHPP7Cx9OnVtWbLEZcN2e9dqSRki/vUNwpa3bmN3+HK5ZpIy7oU1c6K6Qh6ZZkVC2jnuufsvwB6aWmYE3VNU6dTUR91Laj0b1Hc24vgw9N1Emn+yIs4hH4ybXKFT9f9Uney9DPCg4cNhzGifGBqo6BmzQtVxwpqT4XZ1TNE777sPasdLj/AYjXRBxRTkWMlDNoQxldEOTNKn9ZoDxljEdlXVHCwOjGHmjLErO/SbnHN+aoeuXaFCanDOsdvHLsJHn7ePlW4vWM9EIu6T/1ZAz6iJTtpioP0hZwZlmpnSrAfrTiGNTZ2EjZ6xbuD0JtiU5bCAcnQ7dX+S2lYB3VsCGUkaTcuQbIEpZZqxkCfZVNOstE4zgxFINUAQ4rrZ9Bwm+YuN0QROlCIgMGzrajJpjDD2a3nyRONLmUcZyjQLa5rpMs1Y+LwTvBevOWYhXnPMQusxAzUHv37rc7Dw3AsBCJlmBVOIzRlDqtNMH8nab5Brt0WdRd1AFgrITjyT4/aYK0VGyhl3yeQmCUwZ+b1EXFtsTrM+fj0C5CFvUXpG7zPOkVEkOQngN8mkkzuM4eS95+PCe54B4DkBbjj3FCw+rzNL7zBjoiOXzx3iuDGmzMFxmasqGi0XNacmHWO6RqfoGXXg3JODlp/Fov52MKZo1iMD7XoSC4ZuZrtQkp6aFVREWmAAEcFWa0GadMgwMLSCDvT+2RA4tTXvJ6ChZyxATTPHUXXG8O/hip4xM1RR0QWPHbvHXHz1koeC7zpp6IWEkJhScLZNTKvMw2wIao9qAy3jUa8x1JyoPls9juLAxs10EvJ/t1kHrlmhQlsY9ekP//PiB41Os1WbRvHoqi0A2qVn9D5V3avRco0RSuRMIyq1SOFZV6hpVkIam3ZhsifGGRpVI8K8aUNYvXnM30fXVp61cHyaKL4kR6bKXEtwRTFzzWt31BA5LsiLLuOmDJCbHd6z6X7iFEKTM/TbrzwM3/nnUuw0a5J2f9FAd6G7HZNT2AZHyLIsqagACGua0furM5QwAJMGO+sktWW69hImmbCNd2VdZJkc6yJ0zsFu325R+vdHrzsCm7aF9aXkjDv9ObaWm3qfHA1FsmHGGdN19z+R6BlzcZop16CxsQyZzWPNluTIoLab9BDHYfjqSw4KnGbinNQJiBlNZYDYFXOnDiU6h3PgsdVbcPvyDXiJUCN4rOEGjgaV3l53jTxhq3HE4eliLXjyEnWaeZ+6CPZ+G1NyD0SxPEczPWMx18+qXKiZZkadzYm+9HMS1n/rZ4j6VJzvmd45Dr1ImewxvQDNNekzzfpsMOkQdEHU3me4Y8H0Yew2dwoeX7O1iy2Lh5iFCNjXPlVNs2xgyqeIJLrdgON4QTRFWvhUkBAXqsRy/lehQuGwadQzAtnGtFP/52r89IZl3nHKvjQKR5CpwaPbTVFuZKSaMWnAP1de9DWFTLOi0kukxebRBt75y3/FHmfLNIvL3FJLAtz6idPw1hN2B2DOxGGMBcaQVHUWTG0UtBMxM25HnxZw0FC3IG2mmXi8qNM3BadZGQxTOojtZtJ9GpxmMdczPdcDd5qB7776cKnAcpFhcvx6+5j0GQeKyAycZqUxvUXBOQdjofnJVNOs05mFZNAomp3G7DRTv8tO+TLi17cujz1GHzXIcM6hO3agRfmB3u3j9pib2zWHB2qYP304+C7TM+qlwGHm8cI05TQDp1lxxpk41UrvNOtMW4qIfOgZ9dfQycG7T96j7d/LC42Wi70/eTG+dNEDwTZqMs0vIhUj4L0XYsYIY511hNClC5mVpwG1d6dZk4K1T7DP2FEcZ51/LT70+7uk+xxrhXN4HPtD/vSM5kAj0kVov6oLBJmqmmCNfqPe6+b90NookiVUUGOl2io108w294o4bo+5+NenTs+xZeUG5wnoGcnvyLk0ptBfEdagHtpgQseIyjQTHqOzKfTXSNI5qO+ZOj4TxO+6cb8X/U06eJBpZnWaVRKRBbagymT0jAyOw0obwD4RYMw045xPoOVehYkMckrZ6C42j4bUidGJM/lvkZKuKusutzjN/N+e7i8cVcN1WNOs1tMopzzx21tX4KJ7VsYeZ6tpFgddJBY9WxIFXeHXkJ4x/jcCKhhLG0h5EeXqkvefgIdWbsKieSFnv2R41FxwoMakmnZioXCxFptEzyjIXFmMKSq4oVvMmWb26/UL642NgjFJAWMRLueoOQxjTUqVzaGBPUJIz+QvHnSc84wFmWadsqOQj7xIjgHAbPxWMzDF96Ssa6zbn9hg3Ocw79lLxgf6ZMB/vfRgfPnfDuxsA9vEPz90ErYTnFx5QzReq5kha7aMRY5JCgp4SJIJ2C1koWcM772kL0gK5EPPKCOkZ4weu2j+lPZ/MCcQfeCvbgmd8NRk0u/O2G87/OXOp4P9UcYK1lmnWclEkN4dnZ5udJnxkDlENAqK1OOm2tTh/gyNtcBmnKRMM/pb1QV0NXMI/ZYNkLehVlurmmTKkGlW1KBTdeoZHkiYaUYO2U40qsQQuyup3HnvZ3R7NNOss73tutzIhhLQMzIWYZohDA1onGZ9NpZ0Cmo3hU4zec8rjtwFX/QDaIoSYEqmwZpvF6qcZp2Aeb5O0qP1moMaY5HxvnocxYGNnrFChQkByjRLSo8XoZBJMSeGDi91u5z1I7XPd+pNDzLN5P3kKBusORLdXpmR1JDMLJlmU4ftw5vOmBf6mQzGLsaCZ5dIsYiJahWj3ET5mzpUx+G7ztafpLnnb77iUDRaLj7wu7uCbWomiK4+SEPKNLPdSPlgUgrjHlseEfM/fcORmDY8EH9gB3DkwllweUymWVCbKeGCkXtOk7AuXi5N7Q38vglqmik3Q10ySUNjkifCaOeO/kxqmKbBSDRlHzgCbI6QnWdPxhNrR6S7DCIJ4T0/qpPTKfzmrc/B5fc/m/n8hXM761gQZUUM0rjuoyfjkvtW4n2/uTOTlJAju0gRl3GUKbqxNKhbWP5XJRZ53GKUntGDznlaK1B0S+D40IhIEBSlBh1Y5uVOojhvlB3UPbpMENP7JPa/OHaITjM1aEZF/plm5jWZ6/Lg/jiP0jOqkevMsF7oB+Q9Rtoeo2PItihqplmUnjGatapDZfyOR1xtciaM7eJzENfT3LCm7gQaroshg97pCk4z07NXqT2B/tDlu4EkpVlmTBrAm4/fDcMDDj711/tSTbgX3fMMhuoOTt13uzZbGkUk08wyQFbDRjbYYuSSBA8OOMyjay7oPFShcppVqBBkctUTO83k49IMcKRPqfMV5+YoN3LqTTfUNKPfr9cYtjX6Y7BNqnc6TL8weN7+C2KN3rrFOG0z1XxiCBXTPBatosy1UyPN0UQpq1QuuqhtUeaKFNWfBuK7JN6BmZ4x2SKpHZy09/z2L5IRv3/7YgDAN694BIBhQc2kj1i4nKPeL/SM8GTAZDihPpk02FmHiCMYy4oEk3LfToZ1UWHr+d++9Rj864n1ejrWLq0qn7P7HDxn9zld+a0sEMdSkTJqeKAWzL+Mpa8T5Br0pF4izpiurx1Jkaf9jzwMtKZr6KZyUXcqipiI8yKN6zS/qPqmrdZoZ0DzTSd/Iz9QV8QZtUWI/S/qtmIwYRw9Y97zsc0R42Wahc+lxYHd507BY349HHX8kAM4+mtUSfOc2wW9i+qYXqSaZo2Wi3f84l9436l7aegZVZ3EpLN1pGkTCqGOw7VU6p7TLPze6WzFRotjyGC5pfZFMs2EsUKlCfb259rEvkVc4OC/HbZjsG6k8SyNNLzzl7cDAJadtyRzG00gGTVl2YowBS9VsMPiM0tFzxhda1QvaFFQnFC9ChV6BMrkqtXMA5MYnaMqomnWWGu2jGH/T18coVHknKNhUNg3bmtg0kANg34b1AG10eIBh3XRDLBZkSbTzDQZxU1S5PQS+4wUHVI4dRzWAT1jglmQFvFJKc+SQnXYMY3zUOpCpqcG7YdMM9lQFW43GSti6Rn7ZAVhyzQLncLyvmmG1ZjLvYhoU03GMsGrI2LLNPN2qHUj8kZRM81M0q9uF2WnQLamVLDNMwtmDGPJQdtr9/XHCNE+mLCCUA15Yc+m7y3Sj4oUcRnXFC0N7gRaYXWSnlGn1xYp08YN2hluoz9JD1Hbq6Ud7KDuUVN026Ij1F80+wxjiviOirqtnGlm18nzHnJMDCJ+Y4L7fHzNVnCfBpsQ0DNOgIzVvMVS9xjpJ2qGgKlGgegZH1u9FZc/sAof+N2dkZtRddM4esYK2WHKNKOHom7vtM7SaOrHk82jDazbOg7AtwcY6BknD0bXeJWYJIM6P9v6jRUsSCVwmlU1zToGXUZ4sC/BOmig5sBhrLA0wRVyyjRjjM0FcDSA7QFMA7AZwNMAbuGcr8njNypU6BRoQWWbRCYN1oK6BZFMM4EjP4m+tHW8hS1CjTTAr2lmGCif2TiKOVMHhUk4uuirO95gWyQ6o3aQdNIwRbEzFj9J6RSDurpI1Vw3PD9REyPniRAXyHGKinifA0r2A4NuopbNlhzAk+tHMDIWFkUfF/q5rA5XudlC5pypppn/WXeY1rHWLwoj0Vfp+kFnhLn1E6fhL3c8FXCxi3C5twgLnGYdaG+34GWaIfi/GsBAXaIrmH3qPvNxxYOrcmkHyVnRapollX/xMFPAR9GRtev7ZIhoG2I3qJRRcRkdNoQ0sMV5N+IysXULZVPNi35ELvcYGB08+SEHh67rdUwBvQLpTpJJ1f/SMjjN9PLSkeYBAA7acQbedsLueO3ihZ37kVyhD1wDktEzjpucZjHjUt5Gb5sjhiOUi9f+5BbsPHsSpghGbZEO2PssjsznjW7o3QHlp6PXvV77k1uwaN5U/ON9x3e8LXEg9bOloe0cGlDpGfV9pwsMrRAiSa8ETjPDfpdzaX7qNAuHif7xmC9fiS1jnl3JFoyrW9dMBP2kE6Be071fodyY93UTNIbUa+mdZpV0JAOTLAvKvgSdWHcYaox1nOK1Qna05TRjjJ0F4FwAx1qOuRbAeZzzi9v5rQoVOgWa78Ya5oFKdOKo+khAj+gkrymmKsEuNytD9zy1Ec/db0GkboI4GTuON9H1y1ib1PnnMF0qswdbBhrnwKRBT3kcFugKSNkkpcGmPKhGkHnThrB685i0LVigG9ovOc0SRqUzhIpPsI0xMEU5E7vF8bOEjvvPq6Rjmn2RaSb8LXwxKoX0bA1ebh0bWxkxECjH0X0kdqJ8z5s2ZF5sce+cgOKzrMIC7x7kTDN5P3WJrmD2t191WG4ZaI7BcNNzJFwhibJT1si4tK1Ok2U8ESD2Q5QyKl0wkQ5FeDfuXLEBO8wYTkDPGJWJIFOkIy3rP1AfDvi6dOB40mWaWZghuo1AvjUiYnKaaVlfOygpjsPwsbP27dj184bq4EgCcU0kOqtkpxkFHeqR95ijBuWI4JzDEdJ1N482MWNSWAu3pnjN+nnayfvebI+RZErVW8abLh54ZlO+DcmIIKjK5ZF7UetS7T5PX7tUpYjrZ/lJgzT9IGYM6Wuayds7vTRSbUzfvmopfnvrisBhBkRtVOL9ajOcc23hxIG6Xhbn79Ch1sUGWUDNSBKsWZJk9MKBWeZpcdN7T9kD51+5NHLMQM2B40Tf8WrcLg4ymQeZh+8B+Ds8hxmz/DsewIWMse/m0uIKFXIGLbRMDi/OObaOhwqJurDdefYk7LXdVHzhRQck/k01+tDl3Egnxzmw69zJwmQXPabGGGpO/0SUJTXKO0xvUGEsPnrq34/YGe87dU+879Q9g220SDU5TsRfUo1kX3nxQcbfMmaaCTvSGGLVaDGVnvHgnWZg0byp0n6dkiTKXBEMlFkgyrx4ByanGfWSiaaoX6LuTHSugDkiynbnNac/Mlk5OBgLC2WrdSyob4ZqneX+V4MgioKkCybxOFvdliIj7XwZGJ/yb0opIb4Pw0qmGYkEA8ss40VIYHzRt6/Hqf99dawxTEsjNwGM3XmC+lA17OnmsCJlmiEwoEbbSXqIjupbBeuTgJ08QL2TysgrdL9IYzamqWlm0rf/7Ts34IK7n07RUjvia5qF312XBwwBgL2mWb8h70AUW8ZPoPsVTfnSoOnyyL2o9bqnDw9o6yBRXEFZ13ZFgJgxpHuVXSUTsNNdrdqOvnrJQ1i+bkTaFg32Db8PaIJNijSVlgmBY0y3j5n39QJBplkCesZ+sYF0GzZ9X3SwHrDjDO35RM+oJlBUT6M4yKqifw3AWxE6xpYC+C6A9wN4i//5HQCPCMe8lTH29TbbW6FC7ogzhow2XEkRUgfEoXoNl77/RBy359zEvxnJKuN27vu6E9bu0inAjsOCbKKyY7TRkhatOiWPwMCMDrY44+9QvYb3n76XxPHtKgtqdbGiZm+JoOyvfRZM07ZTB5me0d5e+bei9Izi+Z87+wCZ09zgNHvcLzgOlHdhJbY6ScRfXARzv2SREIWnzmgT1gth2u0qOLiX1dkXNc3offGjjdX+8ftgsK6hMclRfS0qPWPcgumo3WZ7xwl9UdZgjYqesT2I44eamdkOPSOhKEbNzWPN2PdUNzYUyrFTApjqbsXVNOu1mJBs6JrRUoxVBK3TLPeWlRdhdkxM2LbmHEDO8BJZRNyYcWms6eK+p/PLNrJlYXtZ77Ici8sdtUZKPw8n3dS7A3rGAgRlmEB6qetGnTX7bj9de87rFepVWgO0SsoEUASIGUOScyzYXgx6RhG2d6mmobTpZ9rXjkLpNrHbqU9dl2PhuRd2sVF6RGqapVCaqtEjGcKyLnbdbkBjWwA8G6LnNKt6vKhI7TRjjB0G4D3w3qN1AF7KOd+Lc/4uzvk3OOc/9j/fzTnfG8BLAKyBJzPvZowdmucNVKjQLuKMIWLaO2BeuKRR+tWsNpdz60BZY8yj4GNC/QTh8JrDvJpDvbYe5IAvXfQAlq0NI6fqFt5Czxmk2e7/pz3H/9T5TEgWTDR1oqyoTpdZkwcBAEfvNhu/fstzAAjKhinTTHJsJZcfnQFGPF9tm8P09btElFVyRJHX0TOevt92+PHrjgi203tqdprl38ZegLIRdU7lQFSUezWNYZx7/RUaB8sqLb6cs7AP1EAD6gGt0yxH2QiDIPK7Zh6wyf91Hz0ZP33DkQDkvkji+PvBNY/ij/96st3m5YqsclxFYkYxXK/haN+hCoR9244xtEjO2FinmeY2Q3rGSl6SgGSFApDo+euM22lo+zoN0YCqwkTPqHsv+iVgJw9QX2ozOA3vk9j/483w769f/nAY8OM/LVtPi3SO7aLZilJDAsAvbnoC2xotSWd1OZfWO8H4ETS2f+Uj79f5uD28INZDdp4Z2Ucxh42Wi8/+/b58fzgnkLO1xaP0jIsMdIyn7jtf+k46bFmZALqJU/aZr90uZgzpx/cu0zMKY9P9Bue+jZ5RLe2g7q+QHI4oHCosQe7tqLV3rtiAhedeiGVCwLN3zbiL+sE7CWqaVcgG62sk7NTVFaTtNac/kh/6FVkyzd4C7/GPAziVc/5H28Gc8z8BOA3AmH/eWzP8ZoUKHUPc+DQyLjvNTAvbNIqHGi3kci8y8ujdZmPHmZM01ybjS9hecY6kApIFsjFlxpPrt0nfdUoewVbTzLQIC6M2owfQwtpEnSYqJur1D9hxBn755qPx8SX7Rou+G9ovOr/ixEdsimrQZ0yWP52MxtUdKpKBMh2i0X9AGEn13VcdhlP33S7YTj1jomfsF8MVRTPpFDAyOtkWVyocFjrlS63Tcd+p7t+ralAY8xelneb+L2ymmeUud5o1OcjMFd+TJEr+ly56EB/8/V3tNzBHpO36gj2qnkOUAcdh+PmbjsY9nzkDgDBGMCBrSEava7SKc2JcVoIu0GYiZIjkiSDTzDcqhHVj7JlmvYY104x0yiQ1zYpzSz0HvftpsjXF/hcDEx9cuRnXLV3jHRNkmpmvm6fTrCHMjWJg5JcvesD/rVawzeUq+4T394aRBoD+lo+8A1F2nTMFy85bIjnNwoBJ7687VmzA/16/LNffzQuUKemJsRLYZbJBKLqbjW2iQji/P/j55+GHrz3CcFQYwGGiZ+TicNFhJZFsRys3juKs86/VHmNbw+rWvf08rnQSSeYm3dqoHQm5+N6VABChENbJJtc4cwdqDiYP1rB+63gbraigg03flylS9a6XoQFHf271fhYGWZxmJ8F753/GOU9kAeGc3w3g/+DNPidl+M0KFToGcWL58j8ewCf+fI+0f+tYS/puGr/SDGzqoszlHM0Wxx7zp+KlR+wUOZ4WUg5jQaSkGCXvMObV9+oD5VjtRtMEA8DPvDNcJOZ56DPNaJ+vKBv2A3oj2bF7zMVQvRaRBdMix9EskOPAmD7TTDZgRn8/TjaKTFVig5xpJho5/YhiQ7+ajG79oqAMUkSZjs7Vv0e1b0y3zuE7qH0ZKa+DlWqayYXWkyJPw07omC9WX9K8YoqGI4hdUVajTEXP2B7UfhisO5g2PAAglOt2uqrXDmXRyB3XFt10UiTHThkQZJolqWkm0jN2tlmxoObpRCTINGNRnU1FvwTs5AGTsxGw0EgL/a8GJtKaKxiXLF2dp9NM1C9Eykhd8F6LcylIMLKOyK1VxUOnhkpx7KC+prFjRGGRKRICekaDs0YHtQ+DTLNeR58UDnJHDQ/UYplHONeP71ytaZZbG/WgsWnDNrPTw+o00+j1VSZ8NgSyoclepr91uks7eu2OM4cBAE9tkIPL9b8T/i3W8pw7dQibRos79pUV9Mx1j1ccXkwlZ4bqtYrSveDI4jTb0f+8LuV51yvnV6hQCIgD3Pevfgy/vHm5tD9xplkKxUOlYuTcW+QN1BztdWjA9TKrvL/FCTGgZyyp8VKE2r2mjCDAnmkW9zx0SrIbLKjD6DIR4nfb5BZOnnbDoXiNNAaTCCcykyflqIEGaMR4xXptoMwKk8i3DH1Ph+vo94D+MVwRzY8204yREz6yQ3stzjlqjj2iviyIrWlmQZ6SEWaa5XjRHDBpoIZzDt0RP3/TUdbjxPckLou1qMhMz1gZGQDY34cD/WLXSw7cPvP1e+A2FecAALH8SURBVD0niUbuLDXNKp9ZOpBORp/U47ox0qYXdhu2wAcTPWNF8WoH9alOzzb1nPiOqk6zlqK72PQ8lT6/HYiSIa77dL/ecrkk1+qY088y0ym9W6ff0W+t2jzWkd/MAwE9o8sTB1ap8kHG2bIGNRUBgS0AinNMYN0QAxPTBOFlwYZtDf/3zcewSNBs+HeVaZYf1IAOqaaZ/0U7lbQhIjP8MiDPbByVtutpIKNBXwzAlKF6qt+sxCMZQrZOnc0l/NtkexqsO1q7ZJ5BPBXaQxanWc3/TOumpuNr1qMqVOgy4owhW8eVTDPDDJJmDd/QZZr5Cybd9WlyZgz47j8fxf9c9rCkNDmM6Bnle/mfSx8K/i5aRoMZquIfV9NMM0Eh/nnoFqDqQl3Vf12lz23tEmFyZso1zWytlTGgpJIx5fyIMmdpA6Go6yrOeURpkOpEIKoYeud5n2pf0DNW+5DQL06zoOCv1mjgfaqGXtM7Q5lmdK3SDCUacMDPNPO+pwk0yLemGY0xxepMxhi+9rJDcPTuc/Diw3YStqvHhX8X7R6SIu2YF0SU9scQ0TZsY+Xu86Zi2XlLcOaB2weUp2nRa7lqNMW5xX6sbuyk/qnkJRlozhooGT2jTTSaBqeZTq3tF90jD5Ah2lLSWELNYUYHFRAas0XjoQkdyzTTWFDFdVnL5ZKcqHFu/SwdnZJ9nRODsvme3TQa2VcUUMCG6yYP7VG7cKjumdvIAdfPTtdOQcweMWUNdSPTbNKA9yypfIVNNUpLz1hlt2QD9ZvuWVCPNjXByu3UBKfxTF236tqgyzRjjOGBZ/S18Cq0B1ummWhrMbG4DNUd7Rj9u9uexNotxQ3wmEjI4jRb6X8elvI8Ov7ZDL9ZoULHEFvTTKFwMFLtpVA8xlquZGTh3FNs6zVHuzBSjS/nX/EIRPXMceSaQ4Tzr1wa/F1Up4iKSKaZpaYZEzLvdPu02/1Pnc0lWKgbflJUjpMs5uloU5aXVL8gzggk/Laa3u0wJt2vqgQzxkpb0+yDv78Le33yH9I2kTKVmv2Vix/E9UvXSsfZDGsmZ2yBbHFtgeRJ61Q2GHNtGTSOI2Z1FlNWkoBzLtU0S+c0y084SM6KPC5/7uz9g79VMRL7oqyRzKmHPHLE98kY0S6Svg4b/ejotOg1q5SYceK63PrcdWNDoLf1tbk7P6j0jGRc0g0vRXKa2Zy7LVdfI1O3XqhslyECekZtP0W3TR6oSWqJGpgYZJppgqlU3bdTmWa6eVLdIjnNIplmuTWrcOjUvb34cCHwx/+k9dG6Atf1IflvpaJnlDtx5mSPKllnuK+QDNSlVz+8Gnet2BhsF7Og5RIBnWnH1GEvO2jFuhH/980/FKlVLegfOntKrO2hgha2fiO50b167ciIaa2lr50WzYxkDHjtMbum+s1yru66j5ChSrcv/NtY06xe0wZTAcDdT23U76jQVWRxml0PT/d4I2NsuyQnMMYWAHgjvHfv+pjDK1ToKuKcBWqmmQlplP5Gy40sjpqui4GaPtOMlHxRKRabXWNEz2j+zbJQN6q3b6dn1D8/xlisYVO3GHcjC2pzn9mNNvI+k8NKLvptuZx0Zaah+pHvR703h0XpalQUVTz+dPtTkW2bx0IjLD3+7/zz0chxuj6l2xyo6zvclDpfNtCYYXvvbdlDIjj3rtcKorVzaWJPQJlmvc70WrxoLgBgv+2n9+T3k8A2p4m7Ok1J0zlka3flBPFA7xAZ50zI6jTreaZZS6Zn1NUDIVQ1zdoHda/azzodr1j0jOZ9JEJJnGZVplkIevd175CulyYP1SQjYYSe0aK7qNtyzTTTUGQBEMLS5ePrQjRepOZsH4tHp2T/yIWz8Y2XHyL/li9TWTOgu4Es9IzqqzJjkjcvk3z3sfhkQpJeJV3vr3c+jf+8+MHoNZRMs07pLKRjb0xAz6i+SzI9Y1SHqfSUbKB+pkchrguoz3UO63aWS6a1lp6eUfjb/3QYkxhEKuQHm9VQnMsj5VV8DNUd4zz4xJqtbbauQh7IYh38uf85E8CVjLH9bAczxvYBcBmAWf6mn2X4zQoVOoY4JWebX9PsyIWzrMfFZSEsmjcl+JtzpQC060WT1RymvQ5tEgdUKeuJMdQcuwOw1waopIhkmllSusQab3HXUWGvaeZ9V7tMdECkWeSZHFYSPWOKJU1kMQ3ZSRjtsvh6d2WRD0DJNLNG3EX7lG5TjPb50jkH4vuvORznnrkPDt/V/p6XBSRbtiygyOLK/5wzZTDSDw4Llf0SiUoEkZpmParHteSg7XH7p04vtLzZxqS4CPo8sWFkHB/83V3YOpZv8eq0chwsjisbQ4Dvvfow/ON9x1uP2TCS0WnWQblavXkMP7jmUavOJDvN7I4afaYZ7cvezokECvQIMs38R6PTTYrkYEqUaRYJZErmDJqoIFujtqaZpqMmD9al8VzNFrNlbUUyzXJ0poiXFoczFmyTf1teE8jo52CNTtrt1XeNZGqsmSwgthcgnSpNsKuqh8306x9VkGFa39uOVSHOTd2IGaNM2SS6dhw94xUfPBHvOWUPaVuF9FBjqMRup7E6rtZYWtDzv/aRNbj2kdXBdp1YyHNPaNvql8DgwiEYVzSB/P6nw8xz3dCA2Wm2uqJnLATSVQMEwDm/jDF2AYDnA9gHwB2MsX8AuBTAwwC2ApgCYE8ApwNY4v8OB3AB5/yynNoOxtjO8JxwCwC4AH7AOf9GXtevMDEQp4NQNNr3X3OEdckSt4ZfNG8qHl0dRguIi0Fa4JnSdmkhJS30lN/W0TOKKIuhW10YmjKCvGPNNc1MJgjbcwqoW5QIIkLSmmbq9UyKrigD7eitnkMjvIAuEy1O2S6604xzHhgmR8abwnbzOVqnmf8p1jR75dG75NLGIoFoOKyZZsp36q/hgRpedsTO+NcT68N9DguM2KKjcvnaEewyZ3JOre4ShEzUXmbgzp5SbKNGUrt0u33IOcc/H16Nk/aap3U+fPuqpfjj7U9i7wVT8dYTFrX1W9Lv5naliYvnHbB97DHZM80ynZYI7//tnbhu6RosXjQXB+w4Q3uM6DRrudzXz/SGVt38XdWQSQfqL8oEocevizmyBVN1GzYd5C93Pg0gSuWkU/UrcQnRCox8yTploMak56DWNCMZCupSCtpPJNMsT3pGqc5u+DczrDFEA3bk1vtYPjrpBFfLG9QKnGl271Mb/XINXtuaLk+8NlPn2aHKOK5FHpJGfe1yObinU8volj+ekVzYZCJCzyhmmtUcLJo3FQcKOk+RAlDKhMBOpHkUIf1/dF87IiLa+H59y3Icv+c8vw0a5xyicukws52xQnsgnUKfaeZ91h3HGPwyVK8Z38XRRvHmqomIrG/OKxDSNA4AeAGAbwK4BMB1/ue3AJzt72f+8a9os70qmgA+yDnfF8BzALwrLvOtQoWlqzbj97etCL7HKTmkWE8erGGWxcgZp3ioXNKiY4OyHbzaVOZrm+gZHcY8p5nFymRzqBUJaTLNGGPGaHQnmKSiWVm63wFC4y85s9Rri0qIvb6J/F1XABxQokpj5Mf69JTolWhUc7QNbz5uN/n6BRcPXdRUHLTPyD/X5oztB9BYYRsTImOW/1V95Th8ekalLggA/PymZW22tHsIeN0hZJop9Bl3fvr04O9/ffI03PGp01HBbtBtt2bG3+56Gm/431vxi5uXa/fXfIFUDaFZIBs4sl2vcoakw6efn00t76TOsmnUM3rZgknGm7KsqLVERdhkouhzazu4/AMn4tuvTFviWo8gOIw2+B2nzTQT56gedPB408Vhn78MF93zTKKfV0VHzyhRjSsE0mEnDdYi+3RGJwYm6edqtpir6C5iV6vylWummfg3F/+O6lJA6FzVZQP0s3R0UvTVa1MfjzaiARALpg93riEJ8PxvXocXfOs6aV5KOrypTjPbfFUhGeLk0u0SPSPJQ5ZMM3G8DAOwzUG2FZIhibNRW2usDRER1y/isiuOdjiUS4ZBi9Ps+nNPyd64CY5AHDTPIrDhOpZMs7pjrGm2TTNXVeg+MjnNOOdbAZwI4GMAnoWny5n+rQTwUQAncc5Hcmiz2I5nOOe3+39vBvAAgB3z/I0K/YfT/ucafPgPdwsc9+YZbOtYE1+95CEAsE40QHymkOr8EY8PnDWOfkHoxGSaefSMzDoZFz2TiKDqITbF32F6pUSsWTRpQF50/+T1R+KM/bbTPk+VnlGFVEcuhaJpMvaKjtTENc10Ee2QaT3VqGYGFlG2a0q/FlE+uGExIvr/rJlmlk7t92grkk/bcyWRefVzvEw76q0IJRLnqDksuFYRZSUJdAYzdfwQ6+nMmTpkDZTod8gUVvI+6d1s08a4apNHPWHibac5IA8qzVGBkiltJpPodK2QHG88bjfcnsH53A6NTRySPEMp04zzGKpo83VsFMJlxx7zp2LJQfHZhkkgMirY6PPEY3uF1VvGsG7rOL5wwf2Jnm9N0Td63f6i4+R95uNdJy/C58/eP7pTm9Upz1Eq9V6QJc8pQNH820mcZuu2jmPDyHjscXEGdVV2aK47Y79oyfh+dqp28t7CZ+39EdIzRp9zUcbqVgan2ZIDt8eSA8OxuFagbNyyIjaYlct6ZKekJ6Bn9HUSm0zYmkzji3hINRVlgy2jj5CFntG2X3KmI2ZuEbOc/U+H2QOGd5w5ydq2CmaEPjONTdL/rDuOcfExVHeM440uwKNC95GanpHAOXcB/Cdj7H8ALAZwFIDtAUwDsBnAMwBuAXAD5zwbN0sKMMYWAjgUwM2d/q0K/YG1W8cwf9qwdYK68sFVwd82AzwQzzevZjyJ12v4VkeHMXCmiaqlDBAp00yk+jA7kILjlfXBzY+txaOrtxaOmk7tR5txgTGGRkym2bASqXrcnnNx3J5ztedQl9Jv7uArEFTPSYzyiZMHIFRUTJkY4vNshyLBYVEnqggdPaMqjx/43V245uHV+PrLD83cjrwhyrM+aipDTTP/kwyg/bpgIKfwcD0aqU1gjOHBzz8vOFaX0Qp4feZldfrfi2FXSI0w1o4ZKXoqfv8QSWuotJtpRsEDptqP5OBu93cAYGQ8XHxkvV4f2y47Bl1tojj0kjoViNIzThq0Z71XaA8BjZr/nZ6+Tgx6Xd+JdEHGzHV1RajyHxeEN9FRcxg+/Nx9Eh+vPgd1Xh8PaM2i50YyzRLQMx72ea/SxLLzlliPEy/dcjm+fvnDeNXRuwayrepSwwM1XPuRkzF/+hBe/N0bpH3VCJMN6thMviSdHtvjKSeAXE8zWaOmDNXx7Vcdhp0uegAr1o9EWVYqAVIQ369xXeYq9Jkdo2dUMs1MPyMGDIvbCLTuEf2ple6SDdSXWidJwGSiC5TwsG7rOKYM1TCkrNFbLo8wUxFEG5Q4TekYlyRnrkB33O8Bw72CrVaiSA1spGccqBntnWMVPWMhkNlpRvAdYlf7/3oCxthUAH8E8B+c802a/W8F8FYA2GWXYjkIKvQOqzd7TrO8lOQ4vUMdDMVFNClEDmNwNU6zWmDMDrdF6Bkde00zdd/LfnATgOLVc4pmmtmju3WGVi/NVZ9pZsN7T90TG7c18O9H7AwA2Hn2ZNzyiVPxsxuewLeuWpq4plmwJ4gO8z4/+rx98J8XPxgcJ8pEO04zxuRpWFd0XjVA6oyYf7nz6UI5zUTjhRRVlTAKU6eA0PGDfrRVvyqQ+24/DR88fS+81JdlE4aF94NEgnkvkISao6dLK5MDLVw4ANtNH8bwgIOlq7ZIx/SrPGSBOETYhqd251DK7jMFQNACMo9aMyNjodMsLd1j6HStkBZZgt67YcC0BU2NqzXNsmaalWiM7CVo6CV9hvpNS8/Y45eQ2uQ4yTIi1WlloKo3lBl6tgVANCWrRibKHqNHJdN9Q3tsHhCvffeTG/H1yx/BbcvWB9tUyakxhp1nezViSat/x0leHc/Ktp0NarfZMoY7md2cBuJ6LQkln4iPnbUvAODBlRFzWAWke4/i6RnNjCh5gXMeOs1adraPODsCrW96HXTSDwjqUgaPIuxT+uu+pzdGzqPjD/v8ZVi8aA5+9ZbnSPubLocp1rUlOWj1QcXhAeGfFB9YY0xL/Vuhfdhrmnn76g4z6q4DNfM+yjS7ddk6PLl+BOcculO7za2QAaV/cxhjA/AcZr/knP9Jdwzn/Aec8yM450fMmzevuw2sUFg8tHIzlq8dyU3Jia9pptAzCqPj3U9u9K9hoGcMChkLmWZifS3Hz1Kz3EvRKNUuvW8l9vnUPzAy3pS2q820O83MlJTUVWmcZrOnDOJrLzsEU4bCeIL504aFwvThj9ki59Ui32ScVakmmfFLFOp9vu3E3YO/HSYbkSJrQs21ibqjyApUQ6opE25PSoehU0DoGdLCuV+dJIwxvOfUPbFgRvIaDSTSDpNTFzn35F2tC1I2iE6PmsOw13bTorSlHbbG7jpnckevnyc60RPrto7jkM9dijtXbAi2Dfh9bqr9SM4KlZ7xu/98FPc+FV2U2jDSCOcb0++ZQP2RJMu4ggybodIEU73SXJDAciY6VZsut44N7QS9VPAgZpoxFtao0sqB0N13PbkRr/zhTV1oYQhqkpMw00yVj8Gq3lBmiD13+QdOxBUfPDFCzzjekumMwkyzMFPjrhUb8Oym0ci6KY/gDIJ4bdK1n900qt0PyHMLiczhu8zyvleG7kzQOSaNxxZEtxUDiLaONS1HmhGt510hLeLeOZdz5DhcGH4j/Dsu+16U7dcdsyted8yuckAtyUQlDG3DzoLkfX7l4oci+0Q70g2PrsWjq7fguP+8Mthmc5LL7Dt2Z+2qzaOR/YxVWe6dQpJMM8eRS6mIqDFmXEdQWYGXfu9GvP+3d7Xd1grZ0JE3hzFWY4xtxxib0onrC7/DAPwYwAOc8//p5G9V6A+Ii+8P/O4unPDVqzT0GOFrkWdEkqrA6hT3msO016GFlC3TrKbJJhLRUQNUBvznxQ9itOHiqfXbpO3qgtVKl2bYxRgL6FlUesYsoCZImWaW0VNtFtGA2e4lcU0z//NNx+4WbmN6CgZTe4Awe6PICtRYS6w/JNASGKKtVGjpGf3DyVlmokHoR/zvG44M6pfpQAtEVX44uGfE9KMqTQ74qx5cFSlGXiSoNc2mDw90vQ1/fdexuOz9J3T9d7MgD0fA7vNkNfDGR9diw0gD37/60WAbBZQ0WxzNlostipGoHtQ0k+eG/7z4QTz/m9dJ2255fF3kfBEiPeO9T6eLxFbp4yokR7ZMs87rLLZfaDSVTDPLXFn5zNqHVNNM2J6EnvGGR9d2sGVRBJlmjCEJzVekdmZVbygzRKPTLrMnY9G8qagpTBs/uW6ZdI6aPcY5cPa3r8cp//XPjmaaiUMY6f+bR5uByKhDnG7OpfmvGmOyQdX7bK9eUYJLW4KuY9NnbKhqmrWPuHdOXQ91IlNRvD6V8jD+jtDez559AD579gHSPVAAWjWUZMP/vuFIHLLzTAD2mmY2Z6s63/z4usfxpGAHa1kYMJKUrCCc/rVrMDLexLObRiV9pV8DhXuNwGmmrWnm21aYWTJqDjM6YreNx9c0e2jlZqxYN5KorRWyIdc3hzF2PGPsUgBbADwNYBNjbBlj7POMsU6EVx8L4DUATmGM3en/O6sDv1OhT6At/KtMNvJElPzacQZGdTDUjY2mCIQwOEjINBPaxuA51lSqABEF85kF7Vej9hstF9sL2TE2p4atzymdeXKKTDMTgrRroW/TGJSDTDNLVpfDGL7ykoPwizcdneiacr/J0Stq23RtJXksstNIjPSX3kuD4qjC9oyInnEi1bA6ee/5+MKLDjTuZ7JIBeA8lJeWK6uE9PeaLWN4w09vxTt/+a/c2ps3qOX0rvQiY2jm5EHsud20rv9uFuRhpHvxYTKNhGxs9kAZuA2X4yN/vBsH/L9LpMVhHH0jYf3Wcfz792/Ee351u/EYcfGR1jgayEtlvUyNTDXNemzAFCN+my6PZIqLsM01BbHDFh6RYA2/35LSM/74usel6OpOQqT6TaJbq4XcK3rGfED626SBmkS9u03p70Yk08z73Dreimaa5eQ0u3PFBmwRmDRoPNk8GgYWqaIjyjX9Wa8M3bmA+s+WIWJ6l0/973/i//313vwbZYA492R1mtWVYNtzDqsovdIi7p1zuZrxk38bxOsT24Ipu20oxiFSq5FMVKNJFpy893wsmjcVQNiHejo+8zXU+Ub9bqu1bMo0M+mYNz++Dkd/6Qr85tYVXpud6Pj36efvZ25shRQgO6Fmj9/lNcecTeZY9iWZA5779Wtw/FeuStbUCplgrWnGGBsGcBWAGoCrOecfthz7NgDfgueIE5/6LgA+DuAcxthJnPM1bbfaB+f8OlR6ZAUAZ3/rOpyw1zx88Iy9rceNNaPeelXJEQ3yY4147z4hThBVg4vOYFszpO7WFOUXkCdMxkIuXM71E3ZRIugILY3xFPAWtyJloC0i17T2YQiNo5NyzDQTu5CMgL9+y3MwNCC3cZ/tp+G4Pebi3DO9Qua0YLfXRGFBLbVkbRKdZLA6zUQ6GMCTD2p/kaOOxEh/M2+8Wa5tNc2CTLMqGjNA4EyyjEEtzrWOeZJxtUZYkaA2u8D+4kJAHFNev3g3aV/S6UQVJa7ZXg/oF13880FPRbznqY1BRKeOvlEng0Rhcf8z+gyyx1ZvwRNrs0fi0ZhZiU161ByGVx69C3518/LE5/RaZZGym+MyzSzX0UWeVogizOT0GBeo17SZZpo56vMX3I+L730Gv3/74g620gMZtR2BttiGEWUtUdEzZofYc7SOmjZcx9MbzA5Tmjp0Nc3Ux5cHPeOqzaN40bevl7aRzGwdb2HqkN78IuleVAeFZKUSmVxgcxiY3uVHV2/Fo6u34rNnH9CpZkkQnWZJsgx0ILmZP20YN3381Fza1U9IpF/EvHMu59axJA+I1yS5MLEKDWmDhIUANSGbu0I2qIF/B+04AwBw/B5zg2PiupdbHF6NllfDTme/EJ+7XLLCMG756/Eblq6V2ixicg42sgpipplmn/9ZrzGjcNQYMwbyLl21BRtGxttuY4X2EGctPBHA0QAOB3CD6SDG2GEAvgnPuaY9BMC+8KgUK1TIFZxz3PXkRnzzyqWxx442ooshdbJpuqFRWI0OtSFOCVGpEnQTomMYT8lAINc0k88jg54pOjuOC7vbCBUPZbsr982ZByzAfttP117DlgK/3XQvW+3o3Wa32dJwYS47Kr3PYxbNwWF+zQHCUL2GX7z5aBzgK1PvPnkPHLzTDDx3/wXScTvMnBS5ngmq4U2M3BedpkBUtlZtHpPvh4U0oAOWqMteQzRemHjdbYsUXZ/S4WSoL3KmXbdhisQVHfGcy2NPkDHK6B3pbBvzgBj1VcGOr77kIFzz4ZMxb9pQpvPVMZorC04gfAcbLY5d/Jpva4Qxa0CgbwyvI//OwnMvxGf+dp+1Laf899X4+J/vSXkHIShKtwQiXjgwxvClcw7Exf9xvPU48Z3spM6S5M0Xf7/l8sxZ7712/pUFYr0VBiY4OJJlmgHApm3ZsjJseHDlJtyvULnSWOSwZM93VDF8FzlYqejQvWpThurYOm5+9iRDOge2ugZsubxtqvsV67ZFtrmS3sqlT4JU08z/pIyhqqZZPrDpfUUZq0X50zHkJAHdpy1zZSIizXsUl5GlZpp1IkBGzjRzI9tEDA9E5xVd6YZqLMkO6nvqy4N3nol7PnMGzjxw++AYe6aZUpddeZSf/Mu9WPTxi7TnivY9VT/VgeSXaD11Q992KeqeVzAj6FqtvurttTFueFlo+n0uBx5bs7XNFlZoF3Fa+3H+5xYAF1iO+zy8rDUOYDWAVwCYD2AmgNcBWAtPnp7PGDu8jfZWqBCg5XKMNlrYMBJSXXzsT/dYqTV0TjDdXEPbdE42E0zUioRIppnmeNGZIYIGWsnvJrTbESIUTJNnURYDBFeJ/CS0OJcmlllTBnHR+47X13ozdTkDDtxpBi7/wAl46wm759NgyLIS97xFLJw7BX9993GYMTmsofTtVx6GTyzZN/ielC6BDmOCLDDISrDaL0MKFZDDwt8rMk3QuDHTLDzGJtb6TDPvjIF68TPtuo2g5oMmOyhwyrs88s7e/Nha/OCax7xjizbQCAhqW8CcUVdBxkuP2DlwZGWB2sXv+82dAGQZI9lquq6Wko2cFbITPSpnl9z3bOZ2JgG1s2j1QcuEWBprYb/6jNdsGYtkTbcL23Cl6lJVTbPOItBzGfxMM6//de+6yeiX9TncsXy9kdrxeV+/Fmedf620jSL+GRJmmilOs3qld+SKKUN1bLVQGNEzolfapE8SrOtIDWOJCt04JWYPbfXlQf1tiZ6RdP0gaDL2ZytoIXeyjZK9KPprHu2YM2UIJ+41D+e/4tAcWjQxkSRjyFRnKi/oAkZNc4661lcRUL1WY0lm0DMQ+3BapD62PZtVCvxVxqfLH/DWMboxwETPaJI7MdjV+x5t13C9yjTLA7bA4bCepj3wzuZUy7PWaoVsiNPaD4OnbVzOOW/oDmCMbQfguf7XFoDTOOe/5Zyv4Zxv4pz/HMA5CLWWl+XQ7goV8N7f3IF9PnUxnhUWur++ZTmufHCV8RxtTTON2Z0mpjSZZnFIUtPMMRSJ1NY0E9rtsJAL16RrF42ekRSCpjLDcC6npduiAuMcV3vMn5bKuWVCyF2dXx8uOWh7DAtUCmmbKU6uqrNVvedBRZEWM9PUBWRRFo0A8GmhhoCJisDWXGtNs4CesVo9EAJ6rJT0jC/7wU348XWPe/sL4FAwyXBY08z7XmWaZUfSsdAY16DJmm60XC0lGz3OpMaJNFG0S4To0DjUYgJTKsQj7pUT30nVOXnEFy7H0V+6Ipd2JJlv1edsmytsekYlLckQZL/XHI/2MKCi0hybs8/pnO/cgDO/fm38gT4o4p8lzDRT6Rlt9fEq2KEb36cO1bF51OY08z5bLdl5BujnMpuBKgld3iqN06yVIONH1FnVGbKSmGwIDcb0yfCKo/RU+EWZ2nNgCEXNYfi/Nx6FxYvmxh9cQYs4+4HLuSwzHVg/i+tdyhgy6aDDGnpG8Q4oAK1ymmWHmmmWFpwnc3jptsvONvGa+otEgzLkNh+6y8xKFnJC6KCMPoswW9wMx7HbrBp5TAoV2kLcsmNP//NWyzGn+tfhAP7KOY9USvVrj10BT16OytDOChUiuPDuZwAAKzfKi5PH1phr6uicYLq5hiYmtZh0O1ANLlp6RkcfiaDbJrabMYACV430jAVyhgDhZK4681wuU+bZJhHTrrypB6i2zhG7tk/1aELarBdpcc1i+ilybihTak2vPOo55IXbl28I/lbryxBsTj6bThvUNKsivgNQd0UyzTgPHceuoqwj+v72Ejc8uga7fewiPLRyc2RfmGnmwRb1VSEfGMdoYTu9241W6JDV1TBstKLb2sGhu8zEu07eI/HxYSRhsebSMiE200x0mvW4m1WdKetcUaRAlCKDnv1AzUHNYUYdETAbHx7UjPuEi+55Bhff+4xx/9qtyWtGNAJ6RpbITvqKI3eRvg9WekdmaOkZB+tWGjuSoVYwv4T7dM9vrGVe+yVZF6pOUiAaIKiDrQ5vHgGAExniulDnXADSze0tl+M7/1yKEQstaFZUOkYxEPfGuTw+a7VdcGFYC53+yZ1mIip6xvZB9gdbVpCVnhGqDcP+O6ZtWeROnV5+9sajKknICdSPukchrR0Mz8pW0wyoMs2KgDitnQrwPGk5Rqy4/DfLcRQeuqflmAoVjLjukTVYeO6FEdqLxxWe1zWbzQtf3aJKR7VEHOB0/E/fcGTq9qpQDS5GekbNuTpjnfi3mGlmUqaKZrgJFrFK/7sKPWPNEqHRLXq1YxbNwe2fOh2n77ddx34j7Z0ovi6rkqaLNjI5DkYbLsaaLVzz8OqULeos7npyA474wmVYsW5E4ZA3QycfdCo5zaqI7xC2DCza1OJRekYRvV7s3/3kRgDA/17/eGQftSy4z8oI1XGYFufiuxlkHRtqGJJINWLoGdOi7rBU2cP0DvRaxsuMNE6z7gT6mH8jSs+YMbI401kTD7UgkMfLnKf+f2x1tJaDTY5uX75eu/2dv7wdb//F7Tm0NGyb4yTLuj1wpxnS94oWOl9MHa5b96vZyuIz043nYoCGiiTGKx21f5IMZR1jhKq3VGgfpqzhNFPO3+96Gl+5+CH81yUP59QqsR3VrNFpJOnhuHdOzTTrdE2zhiX7GtDTM4rOdpp3qrEkO+h52xwctu7lnEu6rUlmXM6xZayJ3T92IS6736NsNLFtJF2TqHoTYyw+GKMaihIhmK81/UVBUlZ7laWmGVA5zYqAOK19kv85YjnmCOHvGyzHPeF/zrAcU6GCET+7cRkA4PYn5AXxFQ/IdIy2tWhcTTNSpGliarZczJw8gJP2np+qrcftMRdfefFB1mNMTjOdNkP3JEVHiucJab2meit3rthob3SX4SqL2GC7K9Mz2iiRHAYctsvMyPZOKISzpwzmf1EAv3/7MfjBaw6PzXpRJ2JRfkSnqQ5qHzuCoqT271ijhc9fcD9e+5NbcN/TvZMZtc2f+PO9WLNlHPc9vSkxPaM2atd/c+idqugZRRB1h9wnnMvUdLYFfa/rPW03fQgAsH4kGjxB7SZHTkXPmB1JbTqmYUnsehKZprQgjP5tXDAmkDmdzNYchnlTh2LPFY/32pH4lAoK4t45OdMsfGbNnDs9yZufpqaZDZX9MxkCnaTG/Ewzr+P+eHs0btOm461YZ1uyRiGODUmo91oux/lXPgLA06WyTHn1KlgnV0wdsmdYkCzRHBOXaWYzUCV53rq1ZtPiiCPo6BnVDPl+xt7bTevK75jWW3FOD3GsoGe8ZUxbvaQtFI0Zpp+Qxj4Ql5HFOfCLm56QvucNURbiapqppRgAedwIS31UyApab9hZkMz7OA8zBr0Nht/hHMvWbIXLga9d5jnmdbKg/i3/lmL7UcY9hsqBmjf0mWbkUOOYPqmOFxy8Q+SYGmPW9ZEtk75CdxC3AqTwvjm6nYyxOoCD/a8bOeePWq5F+eudsTxX6HsEfLHK9uuWrpG+myayO1dsMDjNwisevussAOEENN7iEfq6JPjyvx2IFx++k7RNndR0g2PN0atoYQSD3lngCIOtafL80O/vStL0riEszK1mmsmUgXH0jL956zG477PPNR5TdBy5cDbO2H9B/IE+SBbELBmPntF8jtrHIp2jqkQ1XB5Q221RakT8455n8HNhgdBJLF3l0aweudB7J9dsGQMATBmqQSwNoS5y95w/Nfhbp7hSV9BnRc8YgkRBW2/RCccgXRYQoRc+s02jjWBsJNm45L5ncZVS31KN2A5ruAH7LJiGyYNVQeS8YVo8ivMfydDIeCv4O84xvkzIME9iYNItOGoOw/zpw3j0S2fFng+E70CVaZYdcX0nZyCG29eP5G+YVH9DhdrW7JR6lbwkARmj6o6DGmNWWbHphWnfT1Fn/vrlYdbIXSs2YNNoVO7+dtdTuOXxdQC88S1LVsjOsyenPqeCBy0945A90ywMvPDmAa7ZJ8LuNIt/3jrna5JMM1GvXzh3CgCvXhvQ/8bN2z55Gv78rsXxB6aE1ohpWDDFPSLxGYY1bDI2TMDVD6/GWn+Nk6QdFbqEBJlmF9z9tPA9/ybQeDNYcwK2BVOgmC7TTAQzrPsrJEdY08x8jDXTDHKmmWk+8ag//esRy4WBnjHpGKQ+dsYqB2pesNU0GxAyzRhj+MbLDokcU3PsWX//8ds7E7WjykjrHOJWgCv9z8MM+48EMARPDm6JuRYVAzITzleoYEFQUydmctDtvmHpGrzo29fj+9c8pj1nxqQBXPuRk/HCQzzvv5hploWSx6sxxvDwF84MtqlKjrZ2mT7RLFhIiVcQ/2YCF25ZlG0bPaPop7RFXjDGMFh3IgvmTioBO8+eFH9QFyDKiZg5poP6ztSENHBVvLeONQNqGtWh9I5f3o5P/SVStrIjuPcpL8vt4J1mAgjpcjiXjeQrN47ihkdDx/kusydjF98gpVNqufJZ0TOGCBZUCk0sR1jTrMW5NRq32xGyK9aN4KDPXIqf3rAMgLwAecNP5XKs0ffA+3QYw8X/cUKpne9FwUeft4/03fR2ieMVPbNnNmwLtslZ1Vz6XL52BM//5nXBfnUO0Q2FulqNNX+iSZpxSPNwEuNnBT0oEpqCIVSIY7bYz72otak+56SOjtcvXoijdutc/dN+BRkE6zVPn2m52TKX3ZSiIma4jvjOjpbLcfa3r8cb/zda0nvLWOgQcVh6nftfnzwN04cH0p1UIYAutDDeaeZ9BrSLMQbH8aZHU66/VvwD1wVofvGiB2LPE+euz599AH742iOw3w7TaW/s+WXG3KlDmDxof47tQOzbmiEYNu7ZimNFXnWhmi0Xr/vJLXjVj25O3I4K7SNJFyehZ1xy0A6YOlTHYN3pCD0jtXOw7gQ6iWmdNViPBv7p7qG/R5LOgqYQm83FWtOMK84vw3GusNam68lsHPKxSRChZwSLD8aohCURbPOBamfS9bnjsFxKRiSpuVohG+KcZrfBe11ewhjT5cy/XPj7nzHXIkuKrT5ahQpGhJlm9slBZ9B6cr1njNPRzbVcDod5BhEasBoux8h4E02XZ6JRoclUTJVXi0DrLusZq3XOtGiEuxjN4AiZRmVRtklpUNvbcuXsPls0T7dqmom44N3H44oPntj131UhKmwGVs8Aah+LdI6qwfiMr10TvEO9pC6kCO+502T6NJdzSeH8wO/uwit/KC82w4yp+Gj0LJmk/QrqLVUmOFccBhZlvdu1GJ5Y61FxXf7As/7vWw5WFjtqvcRYbvcKAUz9fOq+IZXx7nOnGMclcTPJ0NbxVsRB5u2Xz129Ra5rmmTO00XfpR3fnJhs7grx2H7GJFz1oZPwiSX7afc7GmcqADR6ED2pYwf41VuOjq1x+5kX7o/fve2Y4HtJVLKeQ9Q7ao43l4jO0q++JKQ8t9JRp+xwsVbiZJ/mj2RPVx9N1D+8dqT7vYoWOH9Mi3GaqXUzpQBEzeP7za3LsfcnL47UzAaSjf9ZDVeibEwarEl1lCv1JBt0z9dknOQc+Nzf7zdeSxwrSIlpd3in8erhZ8OYctflGB6o1iadQD1FXa+4Q1qutx7dbvqQt+7sYKbZQI0FFK+mMUiXDa+zKVVjSXbQXGJzcKj2Pul8QMk00x+nCxhyJadZfLbaFy6UAzXUJnvfK2HIA7bM44Da3eJw9egZ22+HKCP/8Zs78KNr9ckiFdIj7vH8wf+cDeA3jLEZtIMxdhaAtwrH/j7mWovhicuDaRtZoQJgL7IoQqdMkAFOt6/p8ogD4T//8SD2+/Ql2LStkamOhW4KSkLP6GUMRc8lu754ibufDB2ADmOxUfDPP2h7e6O7jLCmmbxdrJ8EhBGBuknGnMWQRwv1mDF5AIvmTY0/MGfYxJ4hHV2RmNGoO48Whr007tDiQF0EcG6P7OYQqCe19Iy+s9alhUi1MCVQd+neNXIYjDddfPgPdwfbG0qdjm77E9QgCpsDJYja87/b5KRCNoh9+fu3H2Mco01yQvIkZovQMw0frXzVJEZMndMs7fhGc2xZAlOKit3mTjE6LCWnmfBcm2nTh2IQ6JOWY6I1zRgWL5qL5+yuZaw3opKWZGiQ06zmwGEMLZdjrBE+99P2TeZA0BmbVm0a1RzpQaw1NdXPdAnGHN3xktMs/ZxXBWe0h6T0jEsO2j6g3Kfhg55dnMHxlzcvByA7MghJhn9dplkS2HSRPKLQJzLE7rMFw/7k+seN+8Sxgq7QrjpAsilnjngBfboaVRXaw2desB9ev3ih5JA2IW6sbrY4Wn4ddgY7pXBWkFwM1h00fGEx/U7yQLBqLMkK0gttY/XGbWY6cZdzSbc0BZpK9IwImV7UdtCxSaBrczWt5INgPtBojUnKgDhOPrqhKCPXPrIGy9ZGA38qZEPcU/w7ALKOPQ/AU4yxGxljS/19RM34N1s9M8bYzvCoHAHgxvaaXGGigoaSOOOJ1mnG6VyN06zlSgXIAeBvd3kc1ZtGGxjIkImiG/fU6Ffd5GWqaRZHTckQX29lSJO230vY6BklpxnVHdJcozJ2e2AspFvUQRUJZsk0A/TF0rsNWhyoi0aXc2skOecIhEXXJ3TmjMleec3d5la1RQjM0G9c2HbXkxvwlECj9+tblkvH9ioLR7eoUKHyw4s1zSrkA3E8mTN1yLgIaArREq5mISgbNb1P9fkRVIeY7he1Nc1SPnha91SZZu3DNHeL6pbYzapzPi/Y5jh1LAkDePL7jQohaEwYcDz9pMW5RJEnykzaTLOX/eCm4O/1W8elfQ1hTTHJr2up1j6Vri8c79U0MzZFiyrTrD3oem+qxmn2umMW4o/vWIwdZgwH8wkFhLU0QRlJkaimWWanmXnf1OHOURf2M3RGzCTv4I2PrsWKdSPStobG/tAuJZ9OnlzOwVg7dTQrmDBn6hA+88L9EwVMJso04zwIeO7EXC8GeBK1n8kMpjNXaekZqykoM47dYy4AYKdZ5lIdGy01eL1nKHw3HEeyBejpGcW1VVKGlwg9I0vgPq3010SwZppRTXjL+TWWDz2jGDS2dbzZUcrjiQbrjME5bwF4FYC18N6ryQCOArCbcNhaAO+N+Z03IHwvr8jU0goVfIw27E4zcVL58x1P4qN/uDtidFOPN2XdbB1rZaJn1C3oIzXNDBEf2ppmgYKvH3Kf3TwaUjj63aNOoqaFXrfp1AjUHrVdqtPM5rM0U39NLI2w7uhpPQm6TDPqV93icemqLQDyj+434YXfug6LvyxPDY2mn2kWcZrZZVbMNNMujP1Tj9l9Dn7wmsPx4efuEz1mgoIetzo2ceGdLJrzXRWFuCxEIEpDWTnf08NkKFKVflPXStz8wjDT0jnslYesXjJJvauT/+ufkW21lHN72eqGFhkmo6UoP6Lzo9GhmmY2A3hLcdRRXYK0C9vZU8L6VVXmgBlNoZZqzfGcUaKzW9QFbU9Al2km0uyJtYMAKFHf0W2RdkYyzdINCFXGUHvQBWLoMs1o7cYYg+sbm0nGJKp7229ptkkR/gY52Tae0WlmceZUdfDag7hGinsHOed4xQ9vkmqnAvKzD+SwTX1A5+R3fQacyr/eW8QN1Q3BaeYw1hH/gljTzPtN1xgcmDRTpVrzZMc7TlyEmz52KhbOnWI8ZsO2ceM+DsW2YhAaznmw1qCnJbEvtFz87MZlaLk8cSCfbjypMt/zgY29YsB/d222q5rDrPbOpKCxoeVyjDZcTB4sls2mzIh9PJzz+wAcDeBvAJrw3l16wy4DcCznfIXpfMbYFADv8b8+xjm/p60WV5iwoEl+LCaCj6JAr3l4Nd7/27vw29tWWCewRssNJhI18mhkvJkbPeNOShF5ndGo5jA9NZq/yTQvrt48FkbBc44bHl2D3T52kXSM2Wmmv2anQTpDNNNMphiwRQRWc70HT27M+1W5EWuaAeZ+NMmMyVCQBWPNFu5+ciOe3ijTJzVdF4xFC6hyblcQuVDTTPcuBY4TBpyx/4LKiCmAnnfEaSZsK/oi3upQDaL2ZGdZVTg3PZau0lM+RDjzDec3DJlmAX2qLtPMsLociwmkMcmEznB21MLZxuvoaotWyAaTWiWOPfTcfnbjMjy4MkqTlgesTrNIplk2J/se86fhj+9YjM+8YD9c9N7j0jdygoCyOOo1z1jccuVMM1EXtD2C8RbHK394E25+bK12//3PbJK+r98aRoWTAz6pM5UhfaZZVUY1f8yYFHUoEUuI4wAbRsax+8cvwm1PrAcg67A2nUGnQ4rqp6l2zebRZqJ2q7CNLdMnVRHjeSEu04zo1VSaNS09Y4rfve6RNVh47oVYvjbMYOMa9aXlB6pVWam9RVwAbst1BXrGzuiGdE3KOqQ6ajokFZdKqrLDcRgWzBi2HnPOoTuad3KurG/0z7Il2jr8eUGcbx5ZtQWf/ut9+MO/ViR2mqnz2UQLMO8kgvlA8yjIpml7So4j2+X23m5apnaQLIyMezrIlCrTLDckUt05549zzl8EYB6AI+A50eZzzp/LOX8k5nQXwHEA9gVwYhttrTDBQWPJaExBeLLFPbhyk/U4QrMV1jRTqRC2jrciRvtE0JzyvP0X4I/vWIwlB3q1xbS1ywzpuXHGurrjSMd8/fLwtfzQGXth97lTjJNqr8x/AT2jJtNMjLa0RQSaFpj96Eyz6eL1GrNGqEYzzULnrEjVqMIU3J8ksyMpPvi7u6TvqzeP4cn1I2i0OAYEuSa43B4FTlF/gF12+lBE2kboNIvuo8X7eIdo0vKCzaErOkwBs+G+QjzefuLu0vcF04dx9G6zMW/akHygkZ5RH+nfCpxm4Ta1ppm68FPHI3W/abzQ1X/45VuO1h4LILZuaIXkMNMzCplmfj9/+q/34SNCHcU8EPyK5VGqY8lARnpGADh811l4/bG7YY/52RbCEwFzp3pjx04zJ8FxvPow51+xNNgvB/qYH8JT67fhhkfX4gOCbrG9xch11vnXBn8T1avtFZcyzZx4toZjlBp4VaZZe9D1Xs1hOOvABdI2yjRzGJMopQF53fHIs1tS/ZaOTlhEs+XiibUjke1JYDN6Fy3Lv8yIcy48ud6TF5X2Uwz2Iec35xxPb9iGLWPxjtLf3ebFmN++fH2wTZc11HK94L/KadZbxA3VzRZHi/t6C+sQPSM5zSjTrGUuUZC0ZlU1BXUWNj3vyQ3b8LMbnwi+m2TG5SFltS7TjLBi3TZ892pjhSQJ6niSiJ6xQjIEicfRZ5Qk+aKm2OL+8I5jMjWDEhJG/Gz3yUOV3pAXUpmMOOcbOee3c85v5ZzrQ/ii52zjnD/k/3s6WzMrVAgH9rgCy5RpJtrRbIpM03WDgWpAyToZGWuiniEs1KS4HL7rLIkyRHeejg4yrqaZ4wiONZfjmY3hApExz6Finph7YwAM6Bk1Nc2SZppNRIoBE32nrSdCTnSSvfB9oohuHZqui1uXrZOivYHsRc51uODuZ6TvR37xchz3n1eh0XIxUItmXnLOre+zuE/36vaKjrQMIDGIvFc8NDI0O0ST1i6oyaooc85x6X0r0Wi5QlHlCu3izcfvjls+cWrwffGiOfjt247B8ICsoJv6WqQnEd9Jen5y9pl8rnrNuEwzUzaAbq61LW7IoVM5zdqHaV4XNxOlWidgGi9EmDLNxDmJgqAqtI+XHLYTvvfqw/Cqo3eFwzynGdUXPmnveYn1PTJsizKWtCYenWvTE8SxKQkl18uO3Fn6XhnC24ORll3ZMSA4zdQxW/z+jl/enuq3JIosDYX58nUjiQPLPrlkX+n7RFzTdBq0OhIDMuLe2dWbxwAAs6cMStulmkIIswcWn3clXvydG2LbQnOKOAbo1uCNFrcGNFYoBpou9+jrWefeXRK5ATHTzGQLStiGKsOod/j+1Y/JTjPDaOS6PLJ20TlLv3XVUlz7yJpEv62qHgwJHKiVqCTC/GleYNYcZc4AwnfXZn5SM4t1dVqTgGRk61iVaZY3qjjrCqVBw5884mqa0dpYLNbdtCyYPeXU+1ubaZaBvk03x6h1lnSLcofpjXZ0ji3TjI5pcY4NAt0M8aKbDH29cprRr6pKgevKC4rQUBW9hnnxnEcLy4O6JiNLBHUxOYBFekZbV63dMo6Xfu9GvP4nt0rb497BPNBsuajXnEj77nxyA257Yp3xPDHTTNcnYbbRBBOSBAgyzZQhiCPsy3Eh03fJQfkbjP/1xDr85Y6nEh+vjl7qeHbd0jV468//ha9f/nC4OAkyhtppaQUpY8LwOpnGJTFjUcoqC2qaRelL1ExBgurUBzw6LqJWMs19uyiUyXEgH1tFz9g+jJlmwnbXNUdU5wXbs1R1E52T9duvOgzLzluSe7smIhyH4XkHbA/H8RgXxPf2bScsSuxsIsdXPcYwbTvX5kwVHXDMd+7ZEKGsrXSPjkAdU2gtxVj0XU5OZxXdJo5JuuuMpKhndtBOM6XvSYzeB+80I/H1KwCn77cdXnvMrvh/L9gv2Ka+sj9+3RH4j9P2DL6TvKiPQ1dbk6710LPxFMJE7So5zTQy1Gi5qLGKnrHXiHsfr3xwFa59ZA3Gml45gU7ohqQLk32q2XJx3kUPaI/V20mSZZ9V6A1MU5HLeRCUQc+r3YA9VZ4ZY1oH6l/fdSzefuIi70u13EmE1y9eiG+8/BC89PCdI/uSMJZ5DFDhd/G9PX7PudZzuUYnCTLNqppmuaFyP1YoJB55djNWbxnD4kXhQEHR5JTlsnDOZCzTUGDoMs100YAEr6aZNzgN1jWR5xmUVltdsgFL5lrNYVrKKLqcMdNMiHJyXdm4Q/vEzK6/3x0mffbK/ke/+4xCm+JyLhljbbSD1XrCQ82xF4ymZ0+y5cmEt89mwCGj841KbZDRRgt/vfMpHLP7HMyfbuf2zoqGyzFQi0Zafv/qx6znifKsrWlWZRsZIWaaqX1Hi3fRaDDcAbqgF3/3RgDAi2yc8Baoi9b1I54ML1s7Eij/zHBshXSQ6NIMb5RpeGkaaprp6BmD3YZMyDENZfMhn7sMALDsvCXaTLMfvvYInLLPfH3jDAgCU6pMs7YhzusvPHiHIKNIfLZbxpod72vbGKAaM7OwDlTIBo+eMfw+Mt5MrO9Rlo+O6jMO5BAzycWdKzbg+qVhVLfD4nXoKlskX5h0VnVr3Tcy1xjDNiWwIuncr5vXxFN1c4u6jVlkRL2VuCHm4S+cWTlSUmKw7uBzZx8gbdM9f/GxtYLgHfkYqaYZrctTtEWXaaYLDPHKRlQO9l4jafev3zoOhs7YU0g+iJ6x6XJsNTjmtSxHmuPosJmTo7UgK3QXNnpG0kfoGbarD0cCeDTbAODgnWdi1zmT8b2EtI8VvDH97EP0doskc3bN0ZfnAYAzD9jemk2oK2dATrMpGTPWKkRRrQArFBKnf+0avPKHNwMAnlw/ggP+3yV4wC/eTVHlAzUHixd5tQImCZRQpNSKmWZiZKjqlGq6YaaZLstLF10cB934SIuvmuV6jLFMmWaMhU4Tl/Ngsei1hUlOs0/85V687zd3Bvs7ZTj+8XWP49tXLY097jN/v1/67voFkAnWulTGff230DCl8AM+PWOSTDOiqxGOt/WUiYZx1eYxvO83d+JN/3ebvdFtoNly/Qy6dOdxAPf7Y8U1D6/W7NdHkFYIjcQOY5HIKFqMiWPp0EDvVQg1Y1ddU5AMuy6PZCpVTrP2IBqlTe+p6TWTapppMs0kekZh7PvyRQ/gBd+6TrqWLtNMhG6hefp+26U2Pjox83CF5BDn9U8+P6QoE5/Jpfc/GwnYyBu2J6kmFWTRBStkg8Nkp+W8aUOJDcg0togylpTmkxxupuNf9O3rcc9TG4V2xmea2caZ//eC/fDCg3dI1LYKdqjdPBAEidnpGa3QPLq4mmYtJUgzTW3dOAfrYN2pnGY5IEL5zGRdkvNQDxG36wJw01C+k7xIY5Pm9EbLBTOUa6jQPeh6/4Adp0eP8+0stnV6VpDIBU4zC3NS0rGB5HBBh4JeKwC/stRHFmEaP1ouD54T6T75Z5qJ++RjKwrP/GEbH2w1LONKoolyQX9v820fwwWw0/QLqp6sUGhwznHxvSuxZawZFHKmjLOmyzFn6hAu/8CJ+OI5YRQZLWhkCo1Q0VWV0KaUaRZ9JZIUcFShuw7zN5HTTpdR5jC9YSauppnoaGq5XMqOY/5ATGPqr29Zrpxrv5es+PwF9+OrlzyU+jyXy84wmxJo2pM2g6BM0CkydYdZnUCklJEzVUwDt523zRDNRhloz24aTdDibGi0OAbq9vvSIekCtlIIowjoGRlw1oHb47R9vfeIcx44DMY7nGmWFTRmqAbMj/zh7mB7mGWYbgHyt3cfixvOPSWnlvYPxKE5LVVuI7amGSLbODi+f81jkXlwXJNpJkI1dGXliqc522a0qJAMYkaFuJBXp/ubHo06zfKoSxnUo7FcSzV+J6FYqZAPPJ2VY4/5U7HPgmkRGjsbVEojQJ/NoUOjGU/PKMLl8WZSmx3zDcfuhvNfcWiyH6tghWoQrFvoGdvwmUl6AwVzilDnBxtbRiTTrIrm6gp0b61keCRKaC6vu1VqVu9ayRE4zZLQM1oyDyp0B0kDNTjnPj1j/m2gNU2YaWbWd5OWsVi7dRwAsGBG5TTrFBYvmouhBOVdTCLDOQ+YXWyZZpMGkq/DaX45ca953nUFW1Bk7qmGntyQxN7ENAw/hFpMCroukId02Sw27Ap6VD1ZodAYGW9FDFyjflR5o+ViwGHYY/5UibOVFkfiIklUdFV6xLhMs0xOM805ak2zBTOGJWcf7dNRAAVOM9P0yuUo+GimmdlAnIcByoZNo434gwS4LpeMDEFNM82ko1tgPvLFM3H6ftula2QJsGjeVAAeLakKj57RlmnmPeMw8lbcaz7vB9fqqRA3+U6zTk7G3vvtpKYniRPn7WdMAgAMaKhYJzpEesaBmoNzz9wHgKfU0+K9ITgoihDBpD5uG9WFmmVI78Xuc6dYf+OgnWZih5mT2mlmX0I0/BjpGQ3bm6aaZoGximu26duho2cUodoYjtpttvV4E+IWLhWSQ6b2DKGO9w2NgzJPw5TF/hRxtFTPv3tgjKHFPYf4PgumpTp3vKmhQEubaZZQL3Z5vA5NMr2rRndTcdF7j8e1Hzk50W9XkKGOHQGzAmMSHTCQPPPQRvENeHSdKlRZszs+5H1VFll3oL6ynOvpGV3OpbFAomcMTk7+u3StLWNNbBlrSttENP11sM3hWqHz0PW+2QDOOkLPSNcMappZxi5d23Tbjtl9Dl50yA740jkH5tPIClokqSdl0jVcDjy2eisAoaaZ5tg02Y00nHz/NYfjmg97egbJR7T2auLLVojBrCkeDeqLD9vJelzWTDNXs14m53pFK58fKqLLCoXGuq3jET7W0QbVLOPSoogQKLuCYtG0ZJo1WjzMNNPRM2ZQWuua69BVwuLUDK86eld84s/3BsfoaNHENtgKhgY1zTiXrkGKt21i7iQ2bG1g+nBy3mwjPaPmMegcRf0aVfHSw3fCnvOn4tBdZkX21VhcTTPvU8w0C7JuLOdtHm1qt28MnGad06qaLe/9Tht5G2fs+u6rDsN1S9cEzrMKIYJMs0CYohkgYk2zoSJlmvmfJmOY64qZZh5ornjrCbt3tnF9ismDdey/w3Tc9/Qm8zhiyjQz1TTT0TPGzFFxTjNx/v/I8/bGa49ZaL+gAS84eHvcvnw9Pnj6XpnOrxBCqltqGeMbKkcivOdZc7KNPbcuW+c5YRTHuQ7qT2epb1shG2rMG7PHm66WucEGcnyJuntSJ1gjrdNMmFdMIPn+yzuPxTMb7dn5++0Qpf6qkAzqMELrOceJOt+TZh7GZZrp9A3VqG1ly4hkmiVqVoU2oVMTReMzvf/PbBzF7cs3BNvFDPksRmVyur3n13dgqO7goS+cqXXoU631Sh56C90z1j0THmyPPsvNow00WxyzpgxmakOQaUZOsxbHtOG6dn2eVF6GB2r4+surDOdOY9JADethDxw3BfS0XI5vXPFI7LG6wDITKAhkeKCGXfwgnpB1SBaeioU+P0wbHsCDn39ebOahyd6sBuxxzvHFCx/AJfevxLUfOUVLz0hyUTFk5If+tC5X6Bus2TKGKUOycYRq1DRaPBhIdBGl4sJFjA5THVqecur9raVnTLlgN0HNNNMNYw5jWodbEK1iTjQLjFAtV44scBy5plnk3A7PjOLidKzZ0lJpidtcrtA1pVhw9jMYY1qHGeDXKLNkjNGzJ4expxz5WTcJf180Xm7oVqZZLVtNMxvmTB0yFmud6KCxgPqcPrmQyToujKVFyDRTH7jJGNbi0ZpmJNJVNG92HLfnXAAWekbDeeJ4ItU0C2qJQNjvZ5oZrhXnNBMXFGcdsH1mesaheg1fOudAzJk6lOn8CiHEd06UHfUZ65xmtuwwGzaONPDS792o1HQ1H3/h3U9L36sskO6B6BnHW25scMbnzt5fCngb89cIdz25ETc8ugZ3LF+f2LBEumhStdjLRLEfQ2Iza8pg5RTrINTXkwxQDmORupft1IaRgjw4x8ZtDWkdpVLwmcaNi957fGR+TMusUCEb1PWwV9NM2C/MMf/+/RuDv+VMsxgGGA3k9bDZQX/f05vgONHMpcs/cGLi36rQPrTvoyH7lDG9bvKcL12BQz9/WeY2BEwxPjtK03WN45durKHmThuu8iS6jUkJMs1MdO/iuGArKdBunTOmrPcrdAbDA7XY+d1kU1OdaZwDP7rucaxY55UtEsedSKZZnyYS9AJVT1YoHMTFx/J1I3jgmc3SfnKaNV038KCLThZylokTiUzPKA8+LZcHE5JuwErCSZwE1EQa/LQRTI4+0mDYn3jN2WI8qBFy67J1eGRV2GeMebzopom105lmYpv3/uTFOOv8ayPHiLWzXIEuU7qOpqHV+jIEs4gpPQJK9X/gmU2JMs1EjAjPaMOIx4eeNgI8DRquRzOavqZZZ9ozESDSM4qfHGH25/eufjQ4fjgFl3rqtqQcmELKRf3+lhsWdFfrGVV1RLKD6I5NfWhaJIhBLTK1hHmbKcAjvqZZeF7l+CgGJGpPyWsmP2Ods8NW08OGLeNeZPaDQh2irWNNLF21OXLsmi1j2KREcleLz+6B+TrrWKMVq2f8+xE7S9550Yn+yh/ejHO+c4P2vEbLxdcvfzj4Pm24bjVk6yDOKyZU80t3oPZzEKDIWGQcSfp8tWsR4dynN4zi4M9eiu9fE1KZ03xDjlzdnFN3GPbbYbqkVwNxVI4V8oLundXVNFMh0nwGOmeK6Ui3DtfprJtHm1oj9h7zpyb/sQpdg8s9O5LOgbrVUBs8+bW9z8Gat95qtLiRolGnb5N+nIbxp0I+SOI0M4014jxD7D4tl2OnWfmy5AT0jEoIRzUVdR8qExpB1W1E2bjw7mdw8OcuDb7TFEU6Txa2tAp6VCvACoXC8795rZSO/L7f3ImvXvKQdAzRMzZbPMioEqOWXY3TbFxQdHWZZjQe6Rbnu8XUu0kK+o04o53OcTdcj3GaueGg+tVLHpKUcIchKFB7w9I10XM77GVQjd9LV22JHLN1PDROuZxrF447ahSFyhgRwtYXuoVakHUDhjcdt1vs9bdJTrPOZ5o1/ZqF6WuaVV6zrCA5oT4Xu14nX3kFFOjQSGiJEBepB3/2Upyv0FkQXC7QaFGmGaeI8MzNnPCg+UycO//xvuNxwXuOA2COXhSjK3WZZuK2eHpGu1FCHP9Mi5IK3YU4x4tDizpV6RxkWTPNyOA5UHcC88AHf38XTvufayJ6yjaNoatafHYPNRZmmiUJzhGfTFzmKeE3t67A1y/35ovXHbMrDt5pJrb6dYaSRm+7nAeZ98a2VWLTFagZ4ywI/okem/T56uYe8dTl60YAAJfetzJybZJbne5EmzYqslOVH+kO9DXNhEAdg3w0dJkeBgXl6Q3bgiDf4NgUmSIOY2nKpVXoFgzP22E6udIfe/G9K3HxvSsj23907WNYqVD43v3kBgBhplnL5ZEajWIbVJCOfsyiOdpzKnQOHzpj79hjbPSMhIee3Yylqzaj5XIcuOMMvPDgHXJrY5VpVhwMGBSASKaZ8PeF98iMGAHbWkDPWCkVeaHqyQqFwr1PbQoWsSaQgcyjb/PpLzSZZqICPC4Y1eo1Ji3Cm0JNMx33657z0xUhNyH8De+3DTqP1qhH7TIp0FypA6b+bs1hGBlv4pU/ullzbkzD20SStakYbelyPV3aT15/ZGRbGY0Rr1+8EEfvNjv369prmumiG/0sGwfYe4Es418854DI8SOCYzOvmmY2w0WzxX16xpROs7ZaNLHBFSdSmJFlX4x1AibKChVinTLVACVCNLRTq0n+Kud7dujm4H23n44DdpwBwDxGm2qa0Z+i0SpwpBnaoGaaPbVhm/RdHGeqTLNiwOSQVyO1TTXNssAWeTmu/I4YyEOoHK7dg+N4NY0bLR4bnKGO33FOdMLaLWPB35MG65g0WAt00aSJzg+u3IyP/OHuVO2r0BmYelnX/6b1lwqb7gyEjnhdiQBaZ+psVqRbzZos1zmq6Bm7A21NM27fDwAtbRCHJiiRcyw+70q859d3SNvvXLFBuR43Bq5WslAecHjPi0ThqodWYeG5F+K+pzdpj3/7L/6Ft//iX9K2J9eP4AsXPoC3/Ow2aftn/34/AGDIH0jGm65RPnVj3Q4zJ+HP71ysXddX6CxO2ns+fv/2Y6zHiFmDom5KCQKEFeu2ocU5HIfluo6hK1V6Su9hWmOoz1tH3anuo7VTtW7JD6mdZoyxeLd5hQodBE0kLTd0FInO+aAmijDfiEa1usOk+geNlhucr/PyH7LzzFzaTcMWtdkUyaZrAynPJgeXWgdMhMO83xxr6FeJHa9pliCybkTJNNPdyqJ5UzFbKaRbxkn+My/cH799m12JygJbTTNbtCxjTHJ+DQ84OHWf7SLHi45Nck7U2wyL1RlECeMtF/Wa7a70WDSvoi/JCqY49un14lzvbOjk+2eTDRGtIEgi5jgh04zu0w2chOUbR4oCCnAw9aHpDRYXirpHp6tpZnrGaWqamSL5KnQXEj2jsF2dq8abySP740BR/7rIy4jTbEzjNKtkp2twGMOjPp30s5vCyPv3nrIHfvjaI6Rj1Wko6dyxRaDfHKwxTBacZkn14s2jUTlRUUY9tYywrYFUJGXY0B2mo/6XSwR48kfrTO244R9+zKI5+Mu7jsWxe8yJXKdC57D7PJlBxqtpFk/P2NBkyOuOJRm57P5nscLPRtQFdW0ebRgzp2tOxZxRROieSFh31/v8+11e9scNj0bZfeKwbuu4djvpLWr2ogjTUubQXWbF1gat0BkcuXA2Hv/yWcb9Y8LzFPViVQedPFiD63LUHZZrwDhdS73mZL/8wgfP2Cu/H6tgRVKnmW1aaLkcv7ttBf5651MAqkyzPJGlKuT9jLFrAfwQwB8452NxJ1SokCfGmi1w7nE6E9WilGnWimaaiUa1muNIToJGyw1r+AgD06/efDTWbh1PxEmcBPQbFEliUsqzRAVwcKOy5DDmc/rrNfNu1jQjbFGUAdGp6XJuXDiq9yAedsenTjfyfE8E2JQo3TMI6zvJi/rXPGdXLUWM6DQjJ2e7ipvN2O3VLEyeaTZnyiCef9D2+OBz98af7/CUhe+9+rD2GjjB8JLDd8Jjq7fi/afvGdmnew6mt23TaAM1xjBlKHvhaV0tIx3old80aqfIcli4oFUzzao6ItmhOiJVGDPNmvpMM922uJpmjTQ1zQzz6wXvOQ6rt1TqbLcgvnPiglB9xJc/8Gzk3Kz0jJSBpHWaKTK0ZUxDz1hFbHYNokw8uT7MHP2Ahu7I03HD72qEtgliNuFAzcHkwXrqTLMkqGIyugNTP+vmpjT0myrETeQgE/UjujZlSOr06fnThoK/D9l5ZqCDd5ouv4KH5x+0PXadMxn/c9nD+OdDqwHI77wpqFWXAa+TJVHnOP4rV+G9p+yB5x2wfeS48aZrtAVU9IzlAef+e+4/sMm+3ShJUAWB5jxTJj1lro5aMql1LD0Veg/GGO789Ok45HOXRfaJdpCBmhN8V9kOhgZqaLpe+RLTmvX/3ngUrnzgWfzfjU+kaV3QRhH1moNl5y1JcZ0K7WLQ4OCyOs0UUWhxLrEftMsIVSFEFvcjA3A8gJ8BeIYx9g3GWJXzWyETrl+6BgvPvRBPbdiWOKJqtOEGCumAJsqdFFhRkR1TMs0GpEwzLo05+yyYhs+dvT8W7zEXL8iBN3juVC87Sq1pRsr3gunDwbGcZzPMuIZMEMCnZ2RRo1B4bmfVct311QialisbSE0KQcRpJjy5WVMGMU9YiE402JxLu8yZbNzHGMPOs7397zt1T3z8rH21kbFiNmAYjZ21tR5MMgkQPSNLbHCaM3UQnz37AKnY8ZEL86fB7GcMD9Tw6Rfsh2l+H8bVNDPV+DnoM5di//93Cd79q9sztyVptgCNLxtH7E6zmsMEB4/3GdAzVgvNzKB5LG0wm1izTjeOiPoAOTtNhs44WREplUwye8COM3Dy3vOt16mQH8R3TtTHkugj1z6yOtNvkjOlXotG6qoBHCPaTLNqnOgWxPnm/71gP+ux6lMZs0TiixANmoN1B5MHa9jm6zl56sUVzVpnMEdhnpgzVa//t5Np1nI5vnTRA3h09RZpG4GCNEWVmdanAT2jrkbzTLlGM63fWgmDhSq0B8YYDtppZjB2cC4HsprkQ5chn4RN5fwrl+Ks86/VXq+iZywXTEMHAwue5eRBL2AwjdOMYNJzaTzR1VsV21ChmJhqCCIdl4L6w+enBpe7nMN17fSMJ+41D889YEGqdlU1zYqDelKnmSWcQg34qBgy8kOWnrwQgAtvnTITwLsB3MUYu5Ex9gbGmNk6W6GCgl/fshwAcPsT6xNnCY02WsFChQYY0QDT4hzf+edS/MnPNgHkGgeO4jQba7Yk5fTi/zgBrz1mYfqbMeCv7z4O57/i0OA3qM2koP/tPcdKx2ehj+I2ekbH26fSDxE67zTzPkVF0FYc2cs0019LrXNUTfIhbOur37zlORFKI7EW1CE7z8Tf330c3nvqnmCGKKZt463gN0hpt03cSUAyyRiw3fShyL56zUm8cNQ7dSplIQ+YaibuOmeyVB9SxQV3P4MXffv6TL+ZtKYZjV8bLPXMAE/e6YokKjTsVJlm2RHXh6b3V3y+uqhuKeqbR7eJMM1tut+qqDiLh7TP5MMxNaRMCOgZNfMCGS5WbhzFB357J9aNeBRJnxEcNuqC9vg952ZqR4V40HzOGLCHoa7w+0/bKzhGNBZuSmioFI1Sg3UHUwZrGGl4TBZ56sXVkJM//u+NR+GC9x4nbXv7iYvwpXMOjByrr2mW7PkuXzeCH1zzGN78f2GdIVE2GpZMs8F6dH1K2G2uTA9I52elnq3QPiR6RlOmmVR/NVmmmQ3NFjdmtXFRaa1QGOjWvRw+xaf/fZJPbbcpZl0iQhfwLSLMNDPru9VcU1yYbHSiPUwMzLrpsXXScS2Xo8WJntH8oNM6Tunoihq4d6BssKSBebbpRR0/qkyz/JDaosg5fwGAXQB8GsDj8N43BuAoAD+Cl332XcZYxYtVIRbiq53USNp0uUCz4w0GorK7dNUWfOXih6RzxHpeNQbJ0OvVA0vb8uTYceYkvFDIWAvoGf2Bbf60YeyzwDMKZM004xZKQ4cxONaaZql/LhXoPsVoGor4ftEhXr/QQpH7dYeMhlZlMqgm+RC2vpg/fRin7yfXKQuo6vzTDtxphrZGIGFkvBUYxok2IK9Ms6G6E1ECmi2OgRTc3br7N1GxVUiGoJYi9JlEjRbHq4/e1XqNO1dsyFSXIc4RQtCNLzo0XR5kHNV8Aado71lTBoznVbCDxm4jPaPhvKbLhToQUcj0jOH8oEOammaVI73Y6KQ+ImWaKZJJ48dn/34f/nTHU/jrHV5NEpFiVlzQLjtvCX7+pqM719gJDppvbEaE9522J5adtyRzRoa45pgzdQiTBuvg3JOTrBSgOlSZzPnjxL3mYfsZcrbWYN3BK4/eJXJsO04zmnvEbGZxbmpqa5r5TjNN+QDCa46R9SaSd5MDpUJnwZhM+2vMNGtF9ZIkmWYmNFw3svaZ62dMttzQPfOhM/bC5R84IdE1K+SL4/eciw8/N6QF1tcI92wwtI/oGXV17FRQoM5DKzcDMNvCaDwZtWSaVTaR4sL0aMYMmWYX3fOMdFyj6eLZTWN+ppn5d+gSat1Gc7vCAKUKvcHv374YgLn+mKoXiGth9bGJc08txsFaIR0yWQ84589wzr/AOV8E4AwAvwfQgPfspgF4K4BbGWP/Yoy9jTGmDxOsUMEHYzJdUxwoQjSgtIg5VaZndCKe924qGjTWiUVZxd/PUrTRM2qbI/0dZjYsdtppRoO7mO1Hfw/70Vi0yAyyFhIaGaq5IERau4yYaabCRM9Ixh8yPiZdGJpAhojhgZrvMBWNEfaaZirVgc4WXtFptQex93SKl1cPMv46WWoNJqVnDIqxx/yG6/KAKmWaLzufWLIvvvfqw3D4rhWNZ1aE9Iym+cd8bjju6zPNRsabeGrDtsCrZnrGcQ5TMXq/yjQrJuZMGcThu87qaOY7RfTqKFBIJ3EVfUWcZ/Kqb1shHjTvd0oX/O2ty6Xv288YDgydW8ebVaZZH0EnG0mfLx0mHi5OQ43AaRZua/m6S0DPqAjAbZ88DfvvMEPaRjp3lWnWO4gZRCZ1Us408z51zyzp2qjZ4pFjqRZeSwgs2nn2ZGPGbYXO4udvOhovOXynyPbn7B6uGzj31kskH2TbuOLBVbHXv+aR1fjTHU/h/CseAWBeLwWZZgpTz0E7hWNJFaBRXJicF6JtTHz2kwZq2G3uFJxz6I4AgM9dcD8Ajzrcxo5CV5gxKVkwKF2pcq70HiZ9V51jrJlmwrGVDSxftB1yyzm/nHP+MgA7AvgwgAcRZp8dAuA7AJ5mjP2IMfacdn+vQp8hMNwzNGIMXyK2jsnGjzgFVaZnRKQgb15Os+2mD+GIXWdZj1m1eRQAsGBGSEf3nVcdhtcvXoh9FkyLDHLDA/GvqY3S0GHeQNwrekZ6NqLTjv4mxdJVjKdJx/lqkg+Rti/C+k7R83QOqJseWxfJ9Ejq2DBBzDTjXH6PGy5HveYYZWHasOw00ymRlYE8H3Ae7d/d503B4bvOSrRIS5pFnOWcgNIkZhxrccFp5svO8EBNW5y9QnJQv5veNVtmF40fuumbc45X/vBmHHvelVbnmngdE7I4bSt0F//61On44zsWW3W5uVOHgmhrtd5DEpDeMajJQKa5iERM1VEAYOqgviZFhfxB80qnMkM/+sd7pHXBgunDga491nSrmmZ9BN3ctHLTaKJzaX57asM2/Pi6xwGE81DdYWgG2euaTDOD02yyxvkeBoBWc1U3ceCOnsNh/rRhKfjW9BzU+tuAPjsw6XP8xJ/vwd/vflraRk4ztwr2KQxEuww9lg8/dx9c9v4T/G2e14wHxyR/j4nCcaBmd5yT7rNNcZrtMX8qXr94IYAqQKOMaAhrXdEOumWsialDdbz6OV729IN+JuKm0aZVp6D682J9dxuqmma9R9x4EZlObE4z4eAsSRgVzMitNznnaznn/8053w/ACQB+DmAUnvNsCoA3ALieMXYPY+w9jLGZef12hfJg02gDiz5+Ef75kBd9Q0ph03UTGbZIcdwy5isZ/ne6zgE7Tteep2aa/cepe+KC94R8+HmtaW/++Gn4wzsWW495dhM5zUJqkYVzp+AzL9xfKvBJStCxi+LrZlBxUB0cZk/P7VZNM5EekiKlxIg6sS2m9v77EXK0VzXJZwc9dV0X6hxQF97zjKTcAYh8TwvRMOlyLo0BjZaLgZqZnlFVCHUyU0XZtAfqUo5oTbPfve0YDA/UErGnNzNwXf3uthXYPBpPbUJjRhytUUvMNEu4mKgQD+p303tqC/oICpprM8047lyxAQACY6VpqorNNGtznKrQPdgYB6YM1QL6tRsfXesd33Kx8NwL8X83LIu9dpBp5jgReQ2cZvTdn39EvaqK4u4e0maaZYG4Lpg1ZTBgfxhrtKyRvGlRUWb1Frr+X7FuGwBghxnD1nPF4J0vX/SAV+/OF456jQX7Rf2TdJKAnlGRYS2VuH9MlgCjCtnxvtP2wgXvOQ4H7DhDMlya9Mmm5DQzB2wl1Xlve2I9fnWznPU6WI8GA1drmd5CzE6np0IBybTNEYqapXmNyWmme+4iyAA+qpTacBgTAo4rOSkzxpQAwEkDtaCcAEFXY/ysAxfge6/2qiKpwaFxIKrytLXQKuSHuOFCnY9Eu61q+xL12qqeWb7oiAuSc34d5/x1ALaHl2lGYAD2A/B1AE8yxr7HGFvYiTZUKCYeWrkZLZfjm1cuBSBE9TbcSLS4WHeMQBF6NCmomWbThwe0yqWYzu44niGE6tmYfqtTeN3ihdhx5iScecAC7X7GGJadtwSfeeH++P5rDsc3X3mo8VpH7+bRA+gyQQgOM+8D7Gm+eUClO/L+9jOM/CjuwGnmi4BJ8Tvv3w7CJ5fsG3yvInizI1ggarowqaEqad0p4/liphnkjJFmi/vGTX1bpk+SFULdYZV8tAdSojmPGoxtY4qKJIagVZtHccOja4LvP7/pCXzsT/fEnmczXIjwnGbe4jTpYqJCPKj/TfIwacBMafcNn45GNwfptpmesRp5q6LKNCsPbA7OgVpYs4j0iRHf8fpflzxkPI8w2iSGgqisqvTVj63e2vF6txXMoEeU1Fic5TGJ64KBGgsc/KMNN1MdThPSzJUV8odNhD71/P2s54oBGU2XY2Q8dKgOOE6gs4rPWM00U9czuvUNbavoGbuLmsNwgJ9tJtWqM+gMkvHS/1On37aTMUjBpJyHetD/b+++w9yozv2Bf8+orLZXr3svuBdscMEGY5rBJJQUQie0EGryIwklhJtGwk1yb+4ljQAhkNxACCEhEAKplJgWCGB6tQ3Yxri37Sud3x8zZ3SmSrurXUmr7+d5/OzuaDSatbRnzpz3vO/hWqz5FffJ2IgYIv2+WOUZu5Ip/PzxdWjrzD4Tfo81nqU+c/pn55VNu9PnEPXPNBMYmEkm1P/cEwAT8YinDyThfZ/3H1NvV01RVRiyDpox0yzvgi7704fX4IjpQz3JDfpP7r7ql377ov29Xyl66r1++d8UQiSEEGcAeADAZ2G+v3bZVOtfBYDzALwmhLi0P86Dikd7d9LT8fQrYVFplcdRFwV1MVGDIPUVcdRVeLMI9Jk56ma8TJsBP5AprFOH1eDxK1fYi/2GOWrGMFQElAS69awFuPG0+QDSi9D6EUKEdqRyOTjgx688oxqsUIMUSSnR1pm0Z5kHvR2GIRwdCF7ke08tEjtvjLecaLbBpkwZHhmfr61plkpJRxvQlUwhFhWBn2t3vW7OsMs9/b/U/bcWiaRnWGaSzXqVJ/30KZxy89OObVv2dmR8nrq/zNSMOTPNGDTLFRXnDrrGhK0DtX1fJ4CgNc2y2wZoGWs+pPSuGUKFqyvkvYoawh686nDNts5msFn1A/0CMR2u8oyA2WZw9m1+GK6+fSa9mSDjmJFrGOlMs+7cZpqxa5JfYZ+NTJ8b92TOPe1d9vUkGhH2QLce01CBfzXI7W5v/C6VZyweCwBYOilzZRHqH588YLT9fdAa4L6ZZn0oz+jHzjiS0r5Xrijjepr5pF+HpJbVpd8HCQH85dUP8bX7X8WPH3kn62PvtjLNun0moa66YbX9fdCaZoYQ+PzhU3D6orG+a69R8SqPedd1T6akp0+hlxE/euZwTBtegwsOmRg6adGNk4zzyf968afLluHmMxZgzug6ALCTLfzW1vQ9Km99cyqnkQIhxFwhxI8AfADg5wCWIB0kexjASQAaAZwP4N/W9jIA3xdCHJfLc6Hi8NArmwGYg17umxO/xl51HC++43kA6Y7M4gmNuPLoqfjWCbMylt5Sqc76zKFiTGF1d9iCJqJFhLfE3X5Dq3HSAvMGYaAyzfT3Vw14JaxBiu6kxLRrH8I1v38ZQHgAxFEuqcQv8tVlvR/8nz+2AQ9/YTlOs2buuz111WEZj+HuvPdUl2tNMz240plMIRYyu9IdTOZs7v4j4f3/VT9nKosIZJdptm5bi2dbNkHxbAcnkimJPe1dECI9+YL6bt6YOgDA9BH+pZETATdtteUxNFTGAQStaebdFhR7XbNht/8D1rE5e794hP09x6OGPdlJTbjottfFy/wed1jXK7/mKJ017XxQtUGcoDOwVN+uPzMs9Ek/hiHsz1Z7VyqngfZS76cOtNEN5dhvaLX9c9jfrt9j+tvlrqawu60rvaZZxLA/J/qAowqsqIwhT5a+z4vOGV2H9devwgitAgoNrCUTm/DlY8xKJkH3Nu1dSXznodfR2tltXyn8+hc5CZqlpJ1VVNWHez3qO7+JNkKr4iNdE5dbQyZyuanyjJkqt6jJ3Rt2tjq2GwZQWxHDN46fGdjfpsKg2pdslccinolDXcmU5368TKuW1VAZx4OXLcPYxko8+sXluOWMBaGvoZovJrMOrDvOW4imKvMeONPtS1NVGdZfvwpLJjYCAB55Y6v9WNi9T2+WxqBgfb4KCyGqAZwCM2tM1ZFTf83bAdwO4KdSyre0p90C4BYhxEetx2sBfBHAH/p6PlQ8tmpZBO1dKc/6SH4z1N2DneqGWgiBCw6ZaD4vQ6dBxcqiEcNayFkiHi2+jkbEEOmBa58ax0p5POK5wE4dXo3l+w3BXc++D5lVrkjv+c3GU6WVVAdP/XzfGnNB5NCZof1ylsXpmWsO79OadOObKgMfy6YDlaksmpuUEl1Jad8UqpuEsmgEEs7gipRmUDwoE7LMXVKVH4ycU9l8Fx86KXDgJ5tPXzZBs3jU8GQuZjPYmG2mbFJK7GztRH1FnGsT5dBH5ozA/mPrHeWOdUHX46qyKFqsjHG/a5Df+9qbti6ZkkjyxqFouCdP6fRMM9VWuEs7h1EDoclUyjORSAXUPGOd1n49mbFLfaf6rP1Zbso9MK5nmvmV49Idut8QzB1dj+//7c2Mr8PBqIH1zy+tcPwcOgnPb30xIdBtXWvcfZLdrV148GVzsmdM+2zq91jJlHk/ZpdMc70GZ/QXrqBsHuW2J9ajozuFWMRAc41ZLcZv4lhfSkKrdkjK9HlUMmiWV35/swKiR/dBK//nMdSWx3DXZxY7tqvKSV3d4UdR97zPrN+J6kQUk5ur8Nx7u8Cb3+LR0yon5fGopw/UnfRWlgpaYqa5JoEh1e2hr6Huq1hVYWAtmdiEsY2V2GZVXMmGaoe+cPcae1vYfTGrrORWr7vyQojFQohbAWyCuW7ZPKSzyh4HcDqAUVLKL7gCZjYp5X0Avmv92LPwOxU9vVPa3p30RMT9yjO6t/lliOn7qFnwOv0CpDohxZhpFtHKLkoZfGOYiEU8j+lrRfX3eKI6vjNopsryGY6fldC3Q/tdSn0GbyIWCSzf2VfZzPB2l8jK5LYn1mPKNQ/aAfNO7XOQktITXIlFjMBMSHetZsZBci8Ri2D99atw5pJxnr81ve3JJJvZTn7tfTYDpj3JNNu+r9PObqLcCQqYAc4yyLrqRNQeLPDNKvPdFv5ev/b1lZhlrU+iJFPSnpBz4fKJoc+n/Av7e45GjPSEC+vaYa8D0oPyjH5lF9XruoO1dsYT1wYYUKr70Z9rmrn7nfqaZpkuK7GIYe/vds2qaVg5I71mcan3U/Nt0662wMf8urn6pBp3EH93Wxf+/e5OAM42Qf+YdltBM/XZ1fsxnz98So/OnQaWyuYJCpqpNiMlpd1G5DrTbHR9uX0M1XdhplnhsJcDF+nrk5SZg+Gvb96Lp9ft8GxXn7VMZez1ZURqEjF70jHvfYtHT6telMe8k967UjKr7OVsHgPSAV9+jgqfXxPDuNjA6fFdoBDiMiHEywBWAzgTQCXM+5U9AH4IYJaUcpmU8ldSyswLkgAqXFrX03Oh4rbsOw/b33d0pbIqz1jjWsfIbyBDz1DzH4hNP6fMeo1Ms0oLkWGkg2ZThlY7bsy/efxM+/vyWMRzgY1FhH2B7EumUhB95l3SJ9NMdRLVjDpPhknI1Vt/iBf5/pNNwKIz2bMyRve+YGYSvm+Vl1Dve1ksYgbNXDcNZjDb//juQDcHpvpXUHnGbDJVs5l1W+HT3mczIzvbj18yJbG9pRONDJoNqKAMncqyKFqsxdL9Zmr7r2kW/lrxqOH5PHanUnY7c9aScVmcMeVTWFZqXA+a2eUZrUyzbIJm3SrTzLvvDx9+G1J6WzPVAhXjxKpiFvEJOOSaO2jmXNPMp/3RPjcRQ3hmd5+3bDxuP/tAnLtsAm48fb69nZ+c/Hp/Z3DQzG92/bdPmGV/766AssdaFxVwrnOk9z9V+Sx1H6Pfzxw0qbEHZ04DTbXz7RkmBJZFDTt6kvS5ZvUlaDbJKi2qD7Az06xwqF6CEPrazrLX4xGqlGM2a4SrZkbPZOWtb/HoabNQHjc8faCubm95xrDJRZnWhVV9HY6h5I/+sairiOGQKUN89/N7j7KttkN915tIwfdhZoWprLJnAJwDYISU8lIp5Ss9PF535l1osHllk3MNku6UX3lGbyexocI54Ol3odADZX4Ddvr1I51pVnxBs4ghEIsYuOPchfjF2Qc6Lqz6/0t5POLpzOnZZ/3R3uqdfdWgdzuCZuGZZuHlGUVW+1HfZDtYpUprAsC2fR2ha1ypvz21T7o8o7mmmTu4EjVCMs1cU4T7c3CNnDOy54+ttweCsmk/wkquKQmfCQ7qLZVS+n6upJR4et32zCcA8zO3fV8HGqsYNBtIQWssVJZFsc8agPTPKvPZluGOM2IIz+cxmZL2YERQCRMqHGrixL0XHeR5LBpJl2fssDPNzK/ZtEMqM9oviL9hZxueWrvDcxzVzvXn2lrkFY+Y7UZ/XtfdA9t6f9QvaKZ/bgyfoNnFh072HezgOjP51RayvpDfLcTH5o+yv//98xsdj+221h8C4FhzVw+M/Wz1OrR1JdMlRrXXYMZqYbPLM3aHl56PRw3fTDM1IbQ35RmPmzsCADCmoQKAczDUb1IZ5ZdAOps0JXsfvFJBs0z3ScmUtF8vGkmvVc9gR/HoaYAjaE0zd7coEtI/zbTeu31O/BgNuHGN5hIp+tJDL1x7JG4/+0Df/f3eImaaDZze9t5aANwEYH8p5UIp5c+llMFTucI9CmA8gAm9fD4VIfcsru6UtzRbuU/pk7pKV6aZb9As3fiU+axVpt/cqPrCxTiYpn6NJZOaUF8Zd1xE9Ruz8ljEM/BQHo/Yg+D9kWmmD0aofqB+Y+FZ08xVCiNsnER/zxkn6Z35Y+sz7pNtWSQ1ILFxVxsWfPNv+PEjbwfuG9FuMAAt0ywagZTem4ZY1AgcKM80e4pyS78xu+ezS+zvs7kJyGZNM78JDuo1L/zVczjgur95Hr/72Q348ysfZjw2YF5jdrd1oa6CQbOB5J6QMntULb5/0hxUlUWwZsNuvL1lb9Zrmm1vyVz73d1udaek3a4U43W+1KjmflxjheexWMQsKx2PGHYfImhwsjuZwgvv73JsC8s0A8zrT1CmGa83AysWTQ8OZiUHb4+dadaV9A3C6pnwESE8FSqC2he/ihc0cMLW3u3pxDs9aObMNDO/quvW1GHVWrZk+nORbb+a8iOeoTyjEosY9nutX09+8+z7nm3ZuvSwyVh//Sp7Mm+rFuzlOryFQ7826PdFvV0Tyi7P6HOfpI/dpKS0J+9EDWG3XfxkFI+wdmF/n+VkEj7lGbt9yjOGXVcylme0TonB14H3jeNn4OYzFmD6iJqs9vd7j/Qx3APHNeTs3MirNyMIF8LMKrtASvlCX09AStkupXxXSvluX49Fhe8TNz7pu707mfLUc/Zbq6nStS1TecZoxDsbVL+41FrlHosx08x9s6dfRPXfMREzPA1tIhqxO3j9HTRL+ZSwyJRpFnbx1jsAzDTzOnL60Iz7/Pr8RRn3ybYD9eDLmzHuygfwykYze/TRN7cG7qver6Qr0yxwTTNDhGSaBZdnvPWsBbhmFZfJzKWgjnc2YwO9XdNMveSDL2/G9pZOz9ok72zbl/nFLSkp0daZDCwXSP1nWE3C/v5/TpqLE+aNsidMHP7fjwWsada765K7T6BnmhXjdb5U+QUgVOmssqiRXtNMu2as29Zif/+TR97B8T96HM+/t9PepganNu5sw+q3t3mOL+EN1qprFj87A0sNXmeb4bdkYuayd1cePRU///QBuPWsBb6P62ua+Q1uHXjd3+3vhfB+RoODZiytVqgyZS+77WhJrzrhXNPMbCdUn/bY2cPtezK96WA7UtjSa5plXl/KzjRzlW0FsuvzuqnB8eG1Zn/pkClDcM9nF/NepsCod1uI9Pu9eEJjn8szdmUoz5hMSTtQHzUM+/U4DlI8gi433z9pDu44zzsuUx73Tno/bu4Iz7awwFimPlTKDpqF7kb9oCIexRFZjNnZfN4j/ZblgPGZJ8RT7/W49yalvFFKmf1IFVEWupPS02HwK2nivjDsae/y7KOXMYgahmc2qH6MmoQZNIsX4Sxid1BDn40ScQTNIp59y+OGndqfzS3j7rYufLA7+2RSPatMDX7qM8LVLHE1s/enj611PL8sJCOAM76DvfHNlfjJafMz7pcpXR9wBqXu9OnMKf/91zcBAK9+sAdA+KBAxB000zPN4L3RjGqzOT3n53odvWlYMXUozl3G5OVcMuzBY+dnJ5vght8MSje/9t59M7h9X+ZMoyDdKYn27hSDZnnw1NWH2SWH1OdIb+N7s34ZAFx/4izPNr9Ms85kyrFoOxWGUxeOwZeP8R8Q9FtnVt38x7WgmT5geej3HrGzCt/Zat6mrN2aDqSpgdC1WnBN577W3PbpAxxriNDA6Wlw4X8/NS/jPlFD4ND9mjGhqcr38cp4FLGIwPaWTt82aV9HejUBQwhPPzXoM5LwqZpBhSEoU/Urx0733b5tb7oPoneFVIBMVV4oj0ft642jdD7vXwqaXZ4xQ6ZZSsr0va3Wv1VB2F7EzOy+0djGSjx42TJ87bgZmD+2gfcyBUb1EwTM69RfP38wfnLa/lnXZ9y+Lx14l1LambCdPuUZ9T5JLGLYbUosIlBlrXPX2slVbopF0OSe5uqE7z1weSziCHo1VZXhssMmewJcoZlmGa45qtIHJ3QUvkyZZp4AKUs35hT/QqggqIEtnX/mQbrBqIxHMHNErWefMu0GNWoIzyCvfgOjFtctxouFu+nU/2/0C2hZ1PBcYMsda5plblUP+69Hsfjb/8j63FJ+mWaOoJkz08wtbA0Iri0SrCzqnZXkJ5tSH/o+i7WOnru04w6rZJoaxAxbsyFdnjEdNDOEeQOQktITXDG3BxzLHTTmoGa/ikUELlkxCX+4aKlje1jrcfZB4wFkV6rGvzyj82f3OhM9KYfSYWUPcAAzP1ZMbQZgLnIMOIMi/kGzzJ+ZpZObPNvc1/Jk0uxbqNJ+VDiuO2EWzjvYf0DQ7zqi3ls9aOauUPDejlZ0dqdw7wubAAB7tYlVnRlmcks4P3fL92u2+0kMuA4sNXid7Rog2awbpg5VFnANMAyB5uoEPtzTnjFoLwCUZTkBg+1O4Qrqm5w4b6Tv9m3agLfe51TfqqyRinj6Hkt//2O8fylo6hrjrn7i9taH6bnj+r5t9ppmPY+a6R+NacNr0FydCN6Z8k79WU8eWo2KeDTru5H530yXml+/vdX+3m9NM711mj6ixu4XRQyBc5aa91fb+jCZkAbWtOE1WH/9Ks/2oCz18ljE0S5UJ6IQQngnzYdmmoV/Mqc0V+P8gyfgJ6dmnnBN+eX3TupdZPd4N+UWe29UELpTKc+AhiqdqIsYZmm5P126DK98fSWGVJd59tFLoUR8yjPq1EBtrAjXOnHfh+sXVncJQ/dMkzItaJbNjH79RjEbGdc060pnGPkJG9hmcCQ/Dp/WjJF15fjVuQt9H7dLoIW8PyoQpz4LXckU4lFzMFtK79pXZgkU/w+odx0kfi76kxAClx+5n6f2dtigZlWZ+fedaYFrwFlW135N13va1hk++zeMGszIZnCVcu+aVdPw1FWH2WvK6ddlv4/Q4z7l89z8Zt25Z/LvauvETx9dmzFgQoXh/IAgGpC+IYxHDXuSlXvQe93WFrxklQoGgK/e/yq27GkHkN1AZlBzVowTq4qZ+v/O5SLnqs/gl8WoDKs1g2YZg3XCWdWCCt/KGcMwZagzyzAoaBZUnnyrdS/UUBl3BMPUx0UPmql7Ff1IzDQrbHFrLcVMmWa/fOpdO/NUn/Db1ul/XcoG1xQqDkHvbG+GJr5+/yv2934fGdWufGTOCADp++toxMC8MfX46enz8dWPzOj5C1NeXbpiEiY3p69FKmt9wpBKx36JuDPTTLVL7nGwsOtKpnbFMASuPmYaxvisI0yFxW/OTcqVjUr9J7DQuhDi1n56TSmlPKefjk0FLOwmtCspPYNa9ZVxz34pCSyaEL52QXUi/bE2s1icjUiHVqtcZZoVi1kja+0BIfeAsp55E4sYuPbY6fjDGnO2tXumiZlpZn7f05r+2fArz5jUBqxUxkjQAHZ4phlvLPLhljMPgJQSQgjcce5CvL+zFVfc85L9uAqMhHXeIq7PXEe3mQGi3lJ3cCVqCExs9i+l5MaPRX6EjS2WWxMY3MHQbI/j7iBmGsjwM6ahAofuNwS3P/kuAAbN8iUaMTCsNj1zOqK9uQ+89IFn/w/3ZJ6o4Rs0c31oXt64pyenSXl29THTcHVAyUY70yxi2P04d9uyblsL6iudE65ue2I9vrRyamApNpv0tkOq38LB7oGlSqb3ZvA5yNRh5oSPsAyxIVVleGfrviwyzQTXKisS04bX4LUP9uDG082Z9OOufMB+LCiQLgLGnrbuNa9LV66cit8/v9Heru5zVKm0injUd4If25HCFo+YbcMHu9sz7ruzxZvhk84063m7xQHPYuP8W+5NRvHDb5hrgNckotjTHlxmUbUvKtNMjYMcNWNYj1+T8u//HbkfFk1oxCm3PA0gPYH8gUuWoTOZwpyv/QWAOTFHv46odsmbaRaypIn1/LDJQlQc/KrrOMozut5jVmfMrbAe/1nov/9vBs1KUFi5g+5kylOe0S/TbNvezANpetAM8F4o9PMYUWcO4m3OooNcCH59/iIsuf4f2N3W5c0008szRgTOXjoeZ1vp++6BxPJYxO7g9UPMzFHPXQVI9MEtNfgdVCYnbGA7U31m6j/qM7NkUhN2t3U5gmadSWen3o/6jKrgWGcyhbKoYXcE3G1ALGJgZF05zj5oPG59fJ3jMXfwlBmI+RFWRk9ljGaT4eF3HPV5iRgCSWtNsp6qLY+hQpscwTXNCs+uVu/apNnw+5N3twucZDF4qAHn8ngksAzW2m37MHuUs2z3kOoytHR0OyZM+dnX0Y0n1253bFMlg1lWbWClM8363kGtq4hhzqg6HDxlCIDwNXMTMQMd3amMryuEf3Y0FZ57PrsYLR3+E256mmmmMsniUcMxqSeVMieGqtfRyzPq2I4Utoqy7P+mt/sEzdS9bViwPxYRvuv8clC7OCyf0oy1W9fZpcaVVzf1boJWPGpg6vAa/GvdjsB91KTzqJZpRsVNbyJU5Y3yeATlSLdB5XH/JTfcky+yuc/h0gTFz69b4vgcuT4X88bU9e8JlZhM0+T6Y7SBgc8SFTZg0Z3yZpr5Bc027mrL+DrVZc7nqYuRmsnToa2LM7KuHEB69mChqyyLYnhtwj9opl00axLO/wN3ndtELGI/X3XGUimJ9u5kTmbP6gNZqkHXByFU4DLoJiERULYR4E1noahxBafDyjN+/69vYu22Frvz15mUSKYkXnhvF0bVV9iD3+42QA2cXX3MVHx8/igcc8M/7cfGN1XhSyv3Q9QQ+NafXmdpkzwJG1tUwe/WziRu+edanL54bGBJ1rCgWVQFzXqRadaVTDmycJlpNnj4zex1l1r2lnGlYjNndB3WvL/Lvh6UxyJ2qVb3jP7121rtgW2loTKOGf/x54yv4zd5Sg1+MkNkYIWVVe+pzu4URjeU2z9HDQFD+E8Yi0cNdCUzB80M4b/usu7gKUOwvYelzSn3KuLRwPua4KBZ+DHjUcPR50xKiUlfftA+njnYqY7lnNBIhavRVeFm/fWrcOB1f8MWnzGC7T5rSanrUljQzOy3eB+PRfnZKAZXHzMV5y4bj6Yq5/Igbb24PwHMe2b3Gt1u7n5I2DIIVBz09XiD3n+9KpSu0nU9Cxv/qE5EMXFIJb60cmrvTpQKht89rwzINLv3ooMwKctKTZSdsNHx8QN2FjToPfH2Npz2s6d9HyuLGuhOSk8mmj4o/8dLluLYH6zG6IbMNXeH1zkXz1WdjLqKOPa0d6NdC96tmNaMTy4YhYsOnZT171Iowi6SNa6Ao3tWUkVZxM4A27irDVf97kVUxKP42ep1ePXrR/U5cKZP/lalGvXBLfUeBM2OKY9H8P2T5vguhMyMosIghMB+Q6vxxod7AQD3PLcBgP8MuP/9+1sAgKNnmqUkurpTWPTtv2Pr3g5cuHyiHfB1B83U3240YnjW0opGBC5cPgn3WSVIuaRZfrhv/ddceyROuulJvL55rz2z7Yf/eBtrt7WgOhHFSQeM8T2O3yCD+lOPGgIdADp6cVPanZKONoOz7QYP/VKgriXuwYT2DNlFVPjUe6om/1TEI/baQknXjP0te9vttWaUsADI/RcvxUd+uBoA0NLpLY+ksqLZ7xhYucw06+h2TpwQwlzr2K9tiEUMdGaRaRaLGJ6BK7dfnH1g706YBkxPM82UeMRwtAkpKR3HqknE7JJZ+n4swVfY3BNOgeDPwvYWbyCtLYtMs8bKuG/5R342ikM0YmBEXXnmHbMUixoZg+nq46RX36DipvddgwLmjVVlvoESd5Z72OcnGjHw98uX9+4kqaD4/dnr1xp9THXu6LoBOKPSEtjjl1K+O5AnQoPbNx54LbAMYFnUQHcqFZhpNmtkLWaOrMX9Fy/FlGGZo+YzRtRi8YRGPLl2O6KGgY07zey0OaPr8N6OVkemWVk0gu98fE4vf6v8UPfyYfd07iwgd3BqaE3Czq77yh9edgwevLRhNxZmWDcuE73MnrTXNNMzzZIQIrjjl4gZOGHeKN/HOFOzcHzu8Mn47K+ec2wLu/HTyzOqz5++rqB7TTN3hqROLaKrPl/MNMsP99hibUXMfi/KY+Z7u3ZbCwCgqsw7INHelcTUrzzke2z3DWJPZnLOHV2HF97fhanDqh3tDMszDh7637zqL7ivKe6sIyo+6j1VZaYr4lG0drYC8JZn3LavEy2uoNnfXtsSeOxZWilH9/OAdFlpDmgOLD2rsK+SKemoxACYff/AoFkyhUwVhWMRg+UZBwG923jX+YvsSUB+3cna8hh2t5mlhGOuTDN3P2hMQ4W9hq9+TWK54MLmbieA4KzDHT7lGe9bswmXHzklcE2zhz63DBf88t++j/GzUZrMdb3D33vVvry+2Zyk+t6O1v4+LepnehsxvNYZhP3ByfPQ1pVEgyvzVXFnuTOIWhr81jTTP0e5rNBAXvzfpX7340fexmsfBNd6TsQi6EpKz4D5+KZKfOP4mfjlOeZszVmjagNLe7ktsoI+NYkodlrrpSyZaG4r9pnnqtyUX+OpVHvKMzr/1IdUldkBCXeG30k3PYX11iC357WznPWrD2SpYJkjaNaVQswwAhfODSvPyM5B7/3uwiX4z4/NytnxEj6DRmGBLnVDqv+tl2mDD35rmvn5/klzMGGIGTRTM8IZS80PvzbhWyfOwqIJDZ61hfzezrD1rFT7oLIXv/Wn17Eti3JX4xorcO9FB+HuCxbjOx+f7Wgzaiu8gTsaeO6yiXpn/+4LFtvfq+u/st/Qavt7/fIxb0w9AHOwUtfbkjmUf+r9VV/1dR+CyjPubuuy+3zKAy9+kNXruTPUzOOHZ8VT/4hHVVZh38uFA95JNUHrmmVbnjEeNThAUeQOHN/gmJy3cEKjfe/oN4jdVJUewIy7BrrdmUXxaDoTTe8T8/6l+PgF0gBgT7v3egEAn/75M+hO+o8zxCKGfbyzloxzPBZ0P0yF4c7zFuHmMxbk/LjurFXA256477P8suKpuKi+5TGzhnke+8icEfjkgtH2z2csHut43N0vYv+0NOiXCJUc0Z3UM83YJ+1P/N+lfvedh94IfTwRiyDps6aZEAKnLxqLugr/mRZh9nWYgyZVWsbVDKu8mztIVGxSWWSauW/m3dlZ8ahhryfmNzawp91/INtv8WI/eiP+s9XrMO7KBxz/721dydDgSti6Q1zTrPf2H1MfWB6vN/xmgYddtNVb3ql9PhJazW5PecaAY9VrbcIhU5oxsq4cFyyfmO1pUw75tQhzR9fh1+cvRrUr43Vnaxc+3NOOLXvTpWnckyV06nOh3zB+N8P1BIA9ueKAcQ2oiEcdN6TTh9cEPY3ySJ85OVYLfDVWOteN0Aew9EGm//3UXADAZ5dPdMwM7806eFQY7r94KS47bLLd51EDAxXxiJ1B6FcG6+0t+3r1ent9BkHnj20AAJyzlBXrB5LqC1Qlsg+a3XvRQYGPuQclg/q48YiBrqQMXasT8E4OWjVreHYnSQXj2mOnBwY+9YDYqQvNPnOjtoaRuaZZen89yHqFtXZMut1KvwYDI8XjjvMWAgiuYuG+X1FaO5OBk3XiEcMuFTt9eA0OmtS3qi40cBZPbMQR04cGPq76oD0ViwjP9UkFVMY2mn3ho2Y6Ays5qFpMeab6rpEsxrS+ftxMx8/MNCtN+v3OlUdPAwC8aiWllEWN0HFV6rvcTOEj6oNEzJzZ6c4y6Qs1Y7iqLIYvHrUf1m5tsS8yennGYpQuR+d97JApQ/Dom1s921WgKR417Bs6v7WnlKDSEt2pFOJZxNr193KDVR5zT1t6kGJHS6djYXZdPGoEzgIG2DkoJH5Bs7AxATujrNuZadZqVTl5ccNux/5BHQB9oKOhMo7Hr1yR7SlTjoXNyHcHv6/63Uv29+uvXwUgfBKD+ix1BwTr/T5rI+vK8ZVjpzu2qUGKmSNrOGhVoCrjUTvrsEz73DTXlKEiHsHMEbX41/odjuue/r0q8xqNGHjzm0dj9dvbcNbPn7Ezkr778dn9/0tQTs20SnM//pMnAKT7LHqmmd9EnqfWbgeQLtGaLb9MsyHVZXZbRQNnX4f5/laVZX+bGraGw7vbndUTgipOxCIGkimJvT6fBfd+APCN42Zgxsha7G9lulLxCLuX0B9SLcyQ6nTQrCzqzA7Ru0FHzTAH1tWEIJaULy5xq0SrWt/MPUCdSXk8Ehg0i2lZRYYhcPMZCzD92j/37YSpICyZ2NSr50W1QKqiBsdH1JajrjzmyDoCin/yN6Xva3uTJeZuk5hhVBr0oJl7ffa/fP5ge7yV+kfg3YgQwk5HkFK+57e9t/Tj0eCWClkMV0nEzFnDQbO2esO+4U5EcYo1S/B9qwZ0R5GXZ1Q3636Dvz87cwGSPoPYqpN+2NRme8Z02IyEoEWMg4JpALBhZyvOvf1ZDKtN4MLlkzyPu2dxN1cnfI8zpqEisBwGwBvQgdZUVRb4mN+aHmELYCt6dpGZaWa+p/et2eTYL6g8Y5zryxSMsBmPUUPAEAhczxLwzwT68an740Jtrbwurdyrfm/wr3U7PM/1C6Cq9iSs7Cvll96W6DcDdeUxvPr1lbhvzSb8a/0Ox0Clajfcl4toxLDXOPvlU+byvFwUuXipfkfcuvZXxKLoTKbQnUwhqbUNKgNt4642HDVjKL5/0tweDUjuCyi3RQOvzvr73W9YdYY9sxNWJWFkXXoCV8wqC/n75zeEHk/1TU5fPK7vJ0d5EXYP5Hd/NUTrC+tl9gBnv1dlpKltXA+xuCRiZtBM9Uncgfv/O2chTvvZ04HPL4sagUH5aEQ4+i25Kj9L+deTCR66mE95xvvXbEJzdQJJKR2TDx+4dClW3bA6p+NllB9LJzdBCG+Z1my4J6RyMnlpcI+d6cY2VvpWy6DcCWvh11lfpWu/9fCvyJQt9/FoEAtbT6QyHkFLZxKJaAR727tz2gmYM6oW96/ZhMnNVfa2EXXl+OicEUVfZuenp8/HXc+8jwlNlZ7HohHD949LBZr0+8CwG7nAoFnIwMPS/3wYgLlQ7XnLJnge393mLIfTbM3avPG0+bj0zuft7LSxrjVp3Ng5GDjPXnN4aKlMv0wzfT07NzU7zr2mWZCgACnXEikcYZlmQgh7UoSfZ9fvwA/+8bZn++TmKoyoTWBvezc+9+vnXQMQ5meivSuJf7+7M6tzVINj/NwUjmWThuCnj67F1GHVeH3zXsfMST0orrKL1Da9VJIhBFZfcWhWZWI5cFm8VBujPgvqs9LalXQEQxqr4mjdYc60rK+I+86+FSI40K9nml2zalpOzp1657Bpzbjt0wfg4MlDcnK8lpDMsb9ffoj9vWpnXt64ByPryrFxl3Pm7icXjMJvnt3AiTtFLGIIJFMy69n5qr3Qy4LHo841zVQbtWJqsz1ho9suv8V7lmJSHo9gT3u3/TeusthHN5Rj2eQhWDq5CTNH1uDljf5rtcejBtq7kiiPRdBYFXfM/tcDJPxcDC7uzI9sxX3KM15xj1mVY87oOlRqfWPVtjBoVvyG1iSw7tvZVzEY31Rpr+nsnrDMNc1Kgz4263dPq9oH6h9hLbzQ/oU91pt/VCLCgmbqhqPMKs/YkcPyjGcfNB6PffFQTNPWr4kYAjecPA9zinzG+djGSnxp5dQelRlTHTJ9sKh3QbPs3iO/dYrca0ioUicrZw7DtOHp2cSNVeFr2HFNs4HTVFUWOnvOP9Ms+Hhq8WI9UFIWtn5dwGeUA+CFI9MMmrCg68k3P+VbTrajOwXDEHjw5c2494VNPs8E/vzK5qzPsaHSbFPCrkc0sJZObsLr31iJQ/YzB8X1wJfftU0F1/XBBSGAUfUVjrVmFPdlIsaAadFSk3ViWnlGAGjrTDr6Ffr6d4lYxDeTpCKkPVKzNB/74qE412fiDw0cIQSW79ccWnWgJ1Tfw+1Hp+zvuEbpfYsRdd5qCKoPzbUjipe6lmRftcJ80/U1WuNRA/rT//LqhwCAOaPq7G3qPijGAc2ictrCsQCA2gpzAFKtq/iFI/fDt06YZW7zuS+aamXFxiIG2jqTSMQMT7WduJahGLRWGhUnIQT+/LmDe/y8WMTAjpZO38fe297i6PNWWpmJxb7MCPXcw19YjhtPnw8AqEnEcNunD7Afi7A/UhK6rOvJKQvHwG8YTJUUpv4RlvF1ew+3E3m0BWQY6BKxCLqTEnvbuzG+qRLrtrVkfE4mhiEwpjE8Y6mUCJ9YddhNf1AZxq4sSu8B/hlpe1yZZo4ZEdrNQ6ZsEHYOCodfhkcylcIVv30R7d1JfPfjcxzvp1/GkVm+z/9zFViekQPgBUNmWJE6KJMwmTLLjnQlvYOZzTVlgbNwDQE8s34HLvv1C47tQ2vK8OGeDt/nqFKwYdkGNPASsYg9mzvTuiHqb965pllIGV9PphmvG8VKXR/Ue2hnmnUmsXl3u71fPGKuh9rRnUJZzPANvlaURdES0C9VWUVlvZwxTvl38xkL8Pjb23DbE+sd292lNz8xfxR2tnZi1ezhju36hLGjZgzDM+v9s5kZhC9e5jq6Sbt/edPp87F+e/B9p+ri6O1CPGL4Xn9UeU9AW7OGk7yKysUrJuG8gyfYwfRqK0CmZyL7TdT5r0/OwaobVmNoTRnarEwz9y1zLCLsrBAGzQaf3pQTjkYEVr+9zfexna1djs9JRZn5mcxyKIYGseX7NdvfM9OsNCS1iTj6/c2p1jJE+sQeyr3A/10p5ad7sp3Ij996NTbr7z0eNdCdSuHD3e2Y1FyVk6AZOfn1zcOydc689V9Yf703bTwo08ydmeafaeYctNAbd/16714Q142dg8Lhl0WUTAH3PPc+AHOtkC+tnGo/1how2zsoSBtYnpGDEAXjy6umAwCeWb8T+4+p8zwelGnWlUxhTEMFXtmULnGzdFITbjlzARKxSGA7IASwfZ93Vubf/t8hgZM0VCnYlg7Oziw06m/ZHQj/9fmLHBMt1MCBc02z4OO6g65lEa5nV6zU9UEFQtNBs25s2tXu2LciHkFHd8p3Qof+3DBhJYOpsB0xfSiOmD4UD728GZv3pD8b+1xt/3c/Mcf3+R1a2auF4xs9j6uuCvsgxcvsk3TZ9y1HzhgWuG9tecwOmumTD+NRw85A0umfC7UWazQicMC4+sAALBUWVVZcUVllrVobMsZnGYH6ijhmjaxFR1cKhkgiEY941piJGAK7Ws3+KyfylJ4FY+vxrKus/FNrvWsz6/S+rGpfVs0aHrQ7lSCWei0N6ZLPzkk711kZ0CqLWV+nl3KHIUnqV9mUw4pHDHR2p7B5TzsWTmjAkomNGME/+H7XmxJ3QcENd33tTp+g2e62LpTHImjvTkJKoFpLI77q6Gn45E+fBOBfmkvHoFnh8OuoJbU1zd78cJ+jfFZQ0CKpZSaOqi+31wAIKsXJTLPCMbKuHD8+dX7g40ED0J3JlKcNMoz0YIVhCCsL0fk8AeEbLKlOxBxtiq65xgyaubMKKP9Uxob7s7BognPAWmUbOcszhmWaOR/TMwCouKjBbTXIWG6VKGrrTGLr3nRgJBoRdlZHULA+KJimCyspS8XhkS8ux6NvbsVnfvlvAMCFyydm9Ty9L9tU7S0VrjKr2QcpXt86YRa+/sdX0eSTLaT7xdkHYvLQKvzPX98C4Jx8GI8Y9lpXQVS/NmYY+PX5izNm5VNhumTFZOxo6cSnDhxtbxtd7w2alUXTmc5CmNea3a3OCitCCJwwbyS+95c3sWRSU7+fOw28c5eOxy2r13m2L53UhNMWjfEEzTLRu7JCCDz/lSMytj1UWrJdn5OKW1cyfS8UNLH4wcuW2ROFKbf4V0Y5151M2TeefuXYlFvPOgDHzBqG0Q0V2NPejd1tXRhak8Ad5y3C9wJmgVLf6PdsmWam+N3gdScl3t6yD3+z6vcr7qCZu3QaYJZnjBoCw2rMUml6ptmB4xvw5WOmAchcsoKdg8KmB8rHN1Xgm3981f7ZL4u0qizqCMZO1cpbBM3E5Czv4hG0Zl1nd8qzzqH+dkeE8C1BIoS37cq0TmVFPIo11x6JK7SsRyoMe63PwMQhVaH7qcCJIQTuu/ggfOaQCaHXMPdjXAexeKWDZu5Ms6SjZNaw2oQdLE0EBDXUc6sTUTx11WEAgH9+6VD78aNmDGXQbBBIxCJ2CfBpw2tw9tLxWT1PXytGXyNPufKYqThpwWisnBmcnUSF7dCpzXj4C8szBj4PnjIEw2vLIa01zfQrirmmmff606VNAEvPCheIGIJlGotUbUUM/33SXMekrCNnDPXsVxaLoCxmYPXb2/C317agPBZB0uc++uIVk/HWdUeHrhdNxetj80f5bj9gXENgm9MUspa7e0ykvjLOSRvkwLnkpSGpZa8HvefThtf4lg+mvmOrSzl37A9WY8o1DwJwDqCPbnBmjx0wrgE/PnU+htak/7hVQIXyr8tnXbKuZAoX/eo5nPuLZ/HB7jZ7e9CitHqWSUd3CpGIwLBa8z12z5RSN6aZLv5c06xwTWquwp9fSQdU93Uk8ZtnNwTuP6ahAvPG1DvKe04Zmg6aBQ2Kcz2R4lERUp5xT1sXTj5wjL1NrSkEpMsMuAk4byIPm9qM33xmUcbzqK2IsYRFAVLr0A23rgtBcyZUIKO5OoHZo+pw1dHTQo/rLu3KDOXipfoXqj+hssVaO5OOkqxjGyrt9z0o8KX6HcNrE3ZfZLRWauvsg7ILrlDhU+19T8ptqglgjdbA5B3nLnRkqTVXJ/CfH5+NsigDq6XCLs+oT+oxhO+1Si9hf+L+IwEAK6Y2e3ekouaXpWiuqelsF1IB1Vk4iWfwUv2JG06e59i+avZwJAKuG3ec57yHiUWE3c/hfQsFUdeWTBWaaHBQ47IRI71mM+9tBw6nuVDOvb55r/19uzagccqBY/Hpg8Zh6lcecuw/ROt8qkEMyr/OZAr3vrARdz/7vr2tOyXtMlkvvLcLw2eZgdCObv+1zuoqYvagKGDeKExprsbz7+2yF8lW1I1p0GC5wgtE4XLPvH1mfbpW+8yRNXh54x7H4x+dMwKAs+ynXprV3RFsqirDtn0dzDQrIu6FaavKotjX0W1mmrV129kAgFnOU9Hf4ke+sBzLv/cIAPMzkdJm73551TQOYBYxNXg0prECa/7jSCCggtUB4+px3QkzcdzckVkdVx9ouP/ipbypLGI7Wsw1YIZYJUdU4OuD3W1o7UrihHkjUVcRw3kHj8e9L2wEkLk8o3sdVqWhMnjGNxUXtbZuIpZ9f+GcZePx4obduPF0s+TwkklNjrXRqPQEFVWsq/C2FV1auzJ7VJ3v2tA0OMUiwhGgN7RqCcv3G4JH3tjq+7x/XH4IK6gMIlVlUfvv/tI7nwcA+2f35HEA+OEp81DjKi3fnZKoTkTQ1pXMOCZCpevHp+6P3W1dmXekQUHdnwytKbPvcTkBY+D0KWgmhKgEcByAhQBGAagBkGn0SkopD+vL61JxSKWkI9MsETOQiEXwj8sPcZTdGqLVXh3KTLOC0dGVxJd++6JjW3cyZTfaW/Z24P0drVj2nYdx/YmzfI8xtCbhCJpVl0Xx5WOnYVhtAofuN8Sxb8pnNqcfXiAKl14qC4CdBXDE9KFo7ez27K+yAvQgSGNlHNWJqGcBbQD4w8UH4Ym3t7E0RRFxrzP2tY/OwOV3r8Getm50JlOOoJlOzyarce2jl4OtiHPuTzG76pipmDu6FosnNIYGtoQQOHXh2KyPqw9CTR4aXvqRCpuaXan6iqrE4tfuN0v/NleX4Sq7vLP5nKBASZUVxA+e6MOg2WDR0WW+xz2ZVDG8thy/uWCxY9sYK3NgycRGv6fQIDfCmsxZ72obTl80FqmUxEOvbMa/rXWKun3Wc6bSIISw2wrA7He8vGk3AOAHJ88LXHN3QobS1DR4+F2LDp821HO/K2V6gk/Q2kVEiViE5cRLyGmLxqKuIoaPzB6BNRt2ATArPNHA6PVokxDiUgBfB1CdaV/9aQietEWDwJr3d9nf727rcgTN1EC3u4M4WSvHNqKOQbN8UIsX6zp9bv7ueW4jnl5nZg9t2duOJ97ZBgD4xZPv2vvUJKLYY3UApw2rwYsbdtuPVSWiqEnE8PkjpniOrQInAuEdxIghcNf5i7CztTObX40G0C7Xe6IyBC5cPhE3PbbWs7/KGtSzDqsSUay+YgXe39Hq2X9kXTk+sWC0ZzsVLj3T7MzFY+1B6237zGB6Tbl/N0QPmrmDpHrbVFfhPxBBxaEmEcNJB4zJvGMP6ZlmPSnPRoVLBdjdgfbyeHrQYGhNAu9sbXH0PXWqBPgWbTKPju3J4NPX7MEF4xqYMVTCLl4xGZOGVuOI6c51rOJRA+cdPAGPvLnF3tYdkMFKpeGCQybip9a9zjWrpuO3/zbL0zOTrHSNrHNmlzVVxbFtX/peuSxqoN1n2Qk18YflGYkIMNsCVW1l9qg6fPvEWVg4viHPZ1U6enUVF0J8E8D3YWaWiQz/7Kf16UypKBz3o8ft7z/c2+5YbyIoGFJVFkVNIopJzVXMGugnh0wZgkUTGvCllfv5Pq5n+ymdPjOx7/zXe/b3W/Z02NlhXdogdr02QHH5UVNw3NwR9s9hCx9LFTTLoqVYOKERK2cOz7wj9bt7LzrI/r6l0zlQqQYuy+MRT/kJ/XG1uClgzq6rLY9h5sja/jhdGmA1VpDsUweMxteOm2mX1rzm3petx/0HqfUbRb0cZ3cq5WibOMuO/OhlfFmasbipwWr1PiZiEXz347Ptx8u1NuDqY6ahOhHFgrHmjeQZi53ZiVOH1wDwnxQEMJN9MDl4yhB8/vAp+OpHZuT7VKiIxaMGPjpnROB1RL+v4QSN0vGVY6dj0QTngKW6/22qKkN5PGJnx8e4FndJev0bK/GPLxzi2Hb/JUtx42nz7Z+FEIj69DtUVprB/isRuUQMgZMPHMNM5QHU496dEGI2gKutH18HcCgANY1CAjgeQBWAGQAuB7DBeux2AOVSSo5wlYhXN+2xg2Y/PX0+TpgXvBbJk1cdhj9esnSgTq3kVJZF8evzFwc2rn5Bs6DyRcqe9i47O0yfXamXN2qqLMP/fmoemqrMbWFBM3UITqoqLnNH1+HgKUNC9ymPRXxn8KuSFPrnR88aoOKnSiuq9kRljW3c1eZ43E0vSaIPOHR1y8ABbyKFs3MHj5+eNh9vX3e0Y9shWnnnVm2yxsyRtXjpq0dhtFUm69ylE+zHrjthJo6dZU62WTa5yXG8W85YgEtXTMr5uVP+RAyByw6fjFpmD1I/0jNfL1zONqRUnLN0PH59/mLP9gcuXYoHLjXHM65ZNQ1vfHOlb1CEBr9ELOIpyTi8thwrZw5zbHOv1X7g+Aa8+oG5BvgDL23q35MkIqKMepPWc4H1tQvAUVLK9wHnTF4pZSuA1wC8JoS4GcBvAZwBMzPtY305YSpcm6xBUOWVTXtQFjUQNQSOmjEs4FmmypBgCvWfBWPr8ey7O9FU5Q2atXR415TStXWloJaiWretxd5erw1QqAVsVacxPNPMeg5nVRWd2z99AKQEJlz9J9/Hy2MRHDZtqF22RNlnBc30Nc3KmTk0qKhMMrXenTuTIxVQzkhVs4lHDAgh8O0TZ+Gq372ErlQKXRkC+kRxDlINGoYhYLgqFdSVpyfnbN3nX2oRSK+bCQATmqpgGAJrrj0Sibjz83H49KE43FV+jYhId+9FB2HbXmd7o+5Zrlk1jZO+CDNGpKtkGIZAmcHPBHnd89nFWLvVHDvRg2b/uvowVCdimHbtQ9Zj7MsSEeVbb1rig2FmlP1GBczCSCn3wQyUbQZwvBCCQbNBSEqJJdf/w7Ft+74OtHUlOQhewP7v3IX406XLfEsx7mrrCn1ue2fSEexQ/AJwqmRJVSI4aLZiajMAc1FcKi5CCDtA6icRj+DA8Q246/xFju1q7Tt9TTOWaB1cRtWbieibd7cDcJYv+uicEVg6uck3mD6yzswUUZlpJx84BuMaK9CdTGeazR1d15+nTkXMMAQ+c8gEfGz/Ufk+FeoH+jqHK0MmZelBehVAq62IeWZ/ExFlMnd0nSe4rjJd6yv6tnYeFadmn0otRJnMH9tgr9GtV0Zorkk4gu/3swoTEVHe9WZ0Uo1APBfwuKf3IKVsEUL8HGZZxzMA3NOL16UC0tLRjXjUQCxiYN22FlT7BEN2tHahPB5BgjPvClYiFsH0ETX2wNJZS8bhtifWAwAee3Nr6HPbupLo6PIG24bWeG8g1lqZaBNDau/OGlXLxdaL3B8vWYof/OMt/PmVDxE1hF12UQXOF05odOw/oi4BAEimmGk2WI1tqgSQLseoyqYBwPdPmouIIfDEVSsw+6t/cTxv3pg63PPcBjtDDQCiEQNdyfSaZnd9xhmEJdJddfS0fJ8C9aO7zl+E0Q0VGFFXHriPHpBnyU4iyjUVNKvgvW5JevSLh6I7xeoH1Ht+6yXeeNr+2LCzDeOteygiIsqf3mSaqRGvja7trdbXWvh72fo6txevSQVm0bf/jo//5Anct2YTDv3eI7j5n2bZtc8cnF4/YldrJ1o7mWlWDD53+GRcsXIqrjx6qr3t54+vD31Oa2c3Wjq9JRzHNgZ38I6fG7yuHRW/mSNrMXd0PQBgwpD050Cf7X/T6ekFkK8+xhzU5ppmg9fwGjMweuHyiQCAhsr0bGw1iK1KOOpO3H8kZo2sxYKx9fa2RMzApl1t+N5f3gTAEnxEpWzhhMbQgBngvJ641w0hIuqrzx8xGVOHVWPJpKbMO9OgUx6PoNqnD0vUFytnDse5yyZk3pGIiPpdbzLN9gCoB+DuIewEUA5gYsDzqq2vzb14Tcqjts4k3vxwL+ZYpbC6kynsbe/Gmg27cfXvXgIA3GStVTRHK5e1o6UTlfGoY5CUCtPMkbWYObI2cH0hP9v2deJ//vaWZ/uyycE3jlyQffBT45Ljmyrx5of7PI8faZXSGlVfjoQVUE/E0sGPWIQDm4OJYQhPBun1J87CEJ+SNqMb0gPgFfEo7r9kKaRWArahssyRAes3O5OIyI97PUUior6aMaIWD33u4HyfBhERERH1g97cQb5tfXWnjLwKQAA4POB5qihva8DjVICu/v1LmHbtQzjuR49jm7XYur7ouiqdJaVZBmfa8Br7se37OvHO1n2hJfmosPitSzVzpPmeXrFyqmP7bteaZ9esmoZTFo7B8FrvzG+/NYtocFJxDJUB4Bcc+dfVhzkGGb68arr2fAZCBrtPHTgGh7nWLnz0i8vxx4uXefbVPw9NVZyAQUQ984n5o9BYGcfkZvZFiYiIiIiIKDu9Gcl+FsCBAOa5tv8FwBEA9hdCnC2lvFU9IIQ4DsCpACSA53t5rjTAUimJO55+z/55R0snmqrKsGlXu2O/UxeOwa+efg+xiMD4pkp864RZ2LirFT96+B20dSUxeSgHKorZVz8yA/WVcby3wxvvHllXbq9VdOzsERhWa5Zi+/Ix0zBlWLW93xNXrehRFhsVL8MKcggI/OGigzCq3htEbbZK9im15THced4iPPfezgE5Ryo8YWVdlaYqLrhORD3znY/PRjIlEWWmGREREREREWWpN3eQf7O+HiGE0J//CwC7re9vFkI8LYS4QwjxNIDfaa91c+9O1Z8QYqUQ4g0hxNtCiCtzeexS950/v+H4WWWavbejJb3Px2bjc4dPAZBen+iUhWMwX1uHZqVVjo2KS3N1Ga5ZNQ1zRtdh4pAqxAxvczF3dB1+ec6B+MwhE9CsZRSdd/AEHDJliP1zTSKGugpmiZQClRmUkhJzRtehMctAx+KJjbjo0En9eWpU5FSm2ZiGCjxw6dIMexMRmdckBsyIiIiIiIioJ3qTafYQgHcBJGCWYvwLAEgptwohLgDwK5gBsgXWP8As2wgAv5JS3tWnM9YIISIAfgQzw20DgGeEEPdJKV/N1WuUKiklJJyZQdv3daKjO4nP37UGAPD6N1baaxK9861jENFK+00fXgsAOGBcPcY1Zc4goMLzry87K61GtbWmzlk6Hj9bvQ7jmyqxbPIQLJs8xP10KlEnzhuJh17+AOcfzAWMKbc+Pn80DCHw0bkj0FydyPwEIiIiIiIiIiKiHupx0ExK2Q5gfMBjdwkhPgDwVZhrmKnjvwXgB1LKH/byPIMcCOBtKeVaABBC/BrAcTDXV6M+EELgiqOm4oNd7bhvzSYAwB1Pv4dL7jSra8Yiwg6YAXAEzABgWG0CT1y5AuXaPlQcbjh5HqZppRWVGSNqUFcRw49O2R/zx9ZjRF05jp87Ig9nSIWsvjKOuy9Yku/ToEGooTKOc5cxGEtERERERERERP2nN5lmoaSUjwFYIYSIAWgE0Cql3JPr17GMBPC+9vMGAAv76bVKjmEI3HDyPFx59FR884FX8aeXNtuPPX7FiozPH1HnXcuICt9H5/gHwqoTMbxw7ZH2z+cs9Y2dExEREREREREREREVpZwHzRQpZReAzRl37Bvhs016dhLifADnA8CYMWP6+ZQGnxF15bjhU/OwYuomzB1dh4lDKu11i4iIiIiIiIiIiCh75ywdj5GcbE5EVJD6LWg2QDYAGK39PArAJvdOUsqbANwEAAsWLPAE1SizaMTAx+ePyvdpEBERERERERERFbWvHDs936dAREQBeh00E0JEAEwHMARmGUYJYAeArQBelVImc3KG4Z4BMFkIMR7ARgCfAnDKALwuERERERERERERERERDSI9DpoJIU4CcDaAJQAqAnZrEUI8AeAWKeVv+3B+oaSU3UKIiwH8GUAEwK1Sylf66/WIiIiIiIiIiIiIiIhocMo6aCaEmAbgbgDT1KaQ3asAHAHgCCHEqwA+IaV8vddnGUJK+ScAf+qPYxMREREREREREREREVFpyCpoJoQ4CMAfAdTAGSxrgbmu2E4ABoA6mOuKVWj7zQDwpBDiGCnlk7k5bSIiIiIiIiIiIiIiIqLcyRg0E0LUALgTQK21aReAmwDcAeBlKWXKtb8BYBaAUwGcCzOQVgvgTiHEbCnlnlydPBEREREREREREREREVEuGFns8zWY2WMSwGoA06WUV0opX3QHzABASpmSUq6RUn4JZpbZ49ZDowF8NTenTURERERERERERERERJQ7oUEzIUQCwJkwA2ZvAThGSrk524NLKT8AcDSAN2GWazxTCFHW+9MlIiIiIiIiIiIiIiIiyr1MmWarYJZXBIDPSSn39fQFrOd83vqxDsCxPT0GERERERERERERERERUX/KFDRbaH1dL6V8qLcvIqV8EMA61zGJiIiIiIiIiIiIiIiICkKmoNn+MEszPpaD13oMZonG/XNwLCIiIiIiIiIiIiIiIqKcyRQ0G2t9fSEHr6WOMS4HxyIiIiIiIiIiIiIiIiLKmUxBs1rr684cvNYO62tNDo5FRERERERERERERERElDOZgmYqwLU7B6+113VMIiIiIiIiIiIiIiIiooKQKWgWt77KHLyWOkYsB8ciIiIiIiIiIiIiIiIiyplMQTMiIiIiIiIiIiIiIiKiQS/boFkuMs2IiIiIiIiIiIiIiIiIClI0y/3uFUL064kQERERERERERERERER5Uu2QTMA6GvUjNlqREREREREREREREREVJCyCZrlKsWMqWpERERERERERERERERUkEKDZlLKbNc8IyIiIiIiIiIiIiIiIipaDIoRERERERERERERERFRyWPQjIiIiIiIiIiIiIiIiEoeg2ZERERERERERERERERU8oSUMt/nMKCEEFsBvJvv8ygiTQC25fskiGjQYJtCRLnENoWIcoXtCRHlEtsUIsoltilEuTdWSjnE74GSC5pRzwghnpVSLsj3eRDR4MA2hYhyiW0KEeUK2xMiyiW2KUSUS2xTiAYWyzMSERERERERERERERFRyWPQjIiIiIiIiIiIiIiIiEoeg2aUyU35PgEiGlTYphBRLrFNIaJcYXtCRLnENoWIcoltCtEA4ppmREREREREREREREREVPKYaUZEREREREREREREREQlj0GzEiOEGC2EeFgI8ZoQ4hUhxGXW9gYhxF+FEG9ZX+ut7Y3W/vuEED90HWu+EOIlIcTbQogbhBAiH78TEeVPrtoUIUSFEOIBIcTr1nGuz9fvRET5k8t+inbM+4QQLw/k70FE+Zfj+564EOImIcSbVl/lY/n4nYgof3LcppxsjaW8KIR4SAjRlI/fiYjypxdtyhFCiH9bbce/hRArtGNxfJYoxxg0Kz3dAC6XUk4DsAjARUKI6QCuBPB3KeVkAH+3fgaAdgBfAfAFn2P9BMD5ACZb/1b287kTUeHJZZvyPSnlVADzABwkhDi638+eiApNLtsUCCFOBLCv38+aiApRLtuTLwPYIqWcAmA6gEf7++SJqODkpE0RQkQB/C+AQ6WUswG8CODigfkViKiA9LRN2QbgI1LKWQDOBPBL7VgcnyXKMQbNSoyU8gMp5XPW93sBvAZgJIDjANxu7XY7gOOtfVqklKthdvhsQojhAGqklE9Kc2G8X6jnEFHpyFWbIqVslVI+bH3fCeA5AKMG4ncgosKRqzYFAIQQVQD+H4Bv9v+ZE1GhyWV7AuBsAN+29ktJKbf179kTUaHJYZsirH+VVjZIDYBN/f4LEFFB6UWb8ryUUrUVrwBICCHKOD5L1D8YNCthQohxMDM6ngYwVEr5AWA23ACaMzx9JIAN2s8brG1EVKL62Kbox6kD8BGYs6qIqETloE35BoD/AtDaX+dIRMWhL+2J1S8BgG8IIZ4TQtwthBjaj6dLRAWuL22KlLILwGcBvAQzWDYdwM/683yJqLD1ok35GIDnpZQd4PgsUb9g0KxEWbOv7wHwOSnlnt4cwmeb7NtZEVGxykGboo4TBXAngBuklGtzdX5EVFz62qYIIeYCmCSl/H2uz42IiksO+ihRmNnvj0sp9wfwJIDv5fAUiaiI5KCPEoMZNJsHYATM8oxX5fQkiaho9LRNEULMAPCfAD6jNvnsxvFZoj5i0KwEWZ20ewD8Skr5O2vzh1ZKryq9uCXDYTbAWTptFFhSgKgk5ahNUW4C8JaU8n9yfqJEVBRy1KYsBjBfCLEewGoAU4QQj/TPGRNRocpRe7IdZsaqCsLfDWD/fjhdIipwOWpT5gKAlPIdq5TabwAs6Z8zJqJC1tM2RQgxCmZ/5Awp5TvWZo7PEvUDBs1KjFUz+2cAXpNS/rf20H0wF5KE9fUPYcexUoT3CiEWWcc8I9NziGjwyVWbYh3rmwBqAXwux6dJREUih/2Un0gpR0gpxwFYCuBNKeXy3J8xERWqHLYnEsD9AJZbmw4D8GpOT5aICl4O73s2ApguhBhi/XwEzLWMiKiE9LRNscpFPwDgKinl42pnjs8S9Q9h3gNQqRBCLAXwT5j1s1PW5qth1s39DYAxAN4D8Akp5Q7rOethLk4bB7ALwJFSyleFEAsA3AagHMCDAC6R/EARlZRctSkA9gB4H8DrADqs4/xQSnnLQPweRFQYctlP0Y45DsAfpZQzB+SXIKKCkOP7nrEAfgmgDsBWAJ+WUr43UL8LEeVfjtuUCwBcBqALwLsAzpJSbh+wX4aI8q6nbYoQ4hqYpVzf0g5zpJRyC8dniXKPQTMiIiIiIiIiIiIiIiIqeSzPSERERERERERERERERCWPQTMiIiIiIiIiIiIiIiIqeQyaERERERERERERERERUclj0IyIiIiIiIiIiIiIiIhKHoNmREREREREREREREREVPIYNCMiIiIiIiIiIiIiIqKSx6AZERERERHRABJCGEKI1UIIaf37bA+eO1MI0WE9b7sQYlh/nisREREREVEpEVLKfJ8DERERERFRSRFCTAKwBkAFgH0AZksp12V4ThTAUwDmW5tOlVLe0a8nSkREREREVEKYaUZERERERDTApJRvA7ja+rEKwK1CCJHhaVciHTD7PQNmREREREREucVMMyIiIiIiojywgmSPADjY2nSJlPKHAfvOAvAsgDiAbQBmSCm3DMR5EhERERERlQoGzYiIiIiIiPJECDEBwIsAKgG0wCzTuNa1TxTA0wD2tzadJKX8zYCeKBERERERUQlgeUYiIiIiIqI8sQJkV1g/VgL4uU+ZxquQDpjdrQfMhBCGEOKTQoi7hBDrhBCtQoi9QojXhRA/sTLUQgkhxgghLhZC3C2EeEMIsU8I0SmE2CKEeEQIcYUQojbDMcYJIaT17zZr20ghxHVCiBeFEDutx76a3f8MERERERHRwGOmGRERERERUR5ZQbK/AVhhbbpMSnmD9dhsmGUZYwC2wCzLuM16bCKA3wKYG3L4FIDrpJTXBrz2cgD/AJBpPbWtAE6UUq4OOM44AOusH28HcKf1r96169eklF/N8FpERERERER5Ec33CRAREREREZUyKaUUQpwN4CUA1QC+LYT4E4D1AG6DGTADgM+6AmZPAWiyHnsawB9gBq4iMDPTzgLQAOArQohUQLAqATNg9gqAhwG8BmC7tX00gOMBzAcwBMAfhRBzpZTrM/xKkwD8BkAVgLsA/B3AHgDjAWzM+B9CRERERESUJ8w0IyIiIiIiKgBCiM8AuNH6cTXMYNN/WD/fKaU8xdrPAPAMzMBYEsB5Usqf+xyvGcCfYWaipWCul/aKa5+xAGqklC+FnNfJAP4PZnn/26SUn/bZZxzSmWYAsA/AKinlY+G/NRERERERUeFg0IyIiIiIiKhACCH+AuAI1+bNMMsy7rD2ORHAPdZj10opvxFyvCkAXoWZfXazlPL8Xp7X7QDOANAGoFZK2eV6fBycQTO7xCQREREREVGxMPJ9AkRERERERGQ7B2YpQ91nVMDMcrr1tRPAD8IOJqV8E8C/rB+P7MN5PWF9LQcwO8O+rQB+1ofXIiIiIiIiyguuaUZERERERFQgpJTvCyGuA/Cf1qYHpZT3uXZbZn3dAmC5ECLTYZPW17FCiHIpZZt7ByHEQgCnAVgEYALMtdVi7v0sowD8O+T1npdStmQ6KSIiIiIiokLDoBkREREREVFh2RLwPYQQVQAarR9HAfh9D49dD7PEojpeHMAtSGevZaMmw+Mbe3hOREREREREBYFBMyIiIiIiouJR28fnx10//wjpgFkHgD8BeAZm4KsF6Sy1FQAusb6PZHgNTyYbERERERFRMWDQjIiIiIiIqHjs075/REp5aG8PJIQYB3MNNQDYAOAQKeXagH1H9vZ1iIiIiIiIioWR7xMgIiIiIiKi7EgpdyMdOJsusljQLMQKAOr51wcFzCxj+/A6RERERERERYFBMyIiIiIiouLymPW1GcCSPhxnqPb9Oxn2PaoPr0NERERERFQUGDQjIiIiIiIqLrdr339LCJFpjbEgrdr3E4N2EkIcB2B2L1+DiIiIiIioaDBoRkREREREVFx+C+AZ6/uDAfxKCFEdtLMQIiGEOFMI8SnXQ89o339BCFHv89yFAG7t6wkTEREREREVg2i+T4CIiIiIiIiyJ6VMCSE+BuBJACMBnATgSCHEXQD+DWAXgAoAowHMB3AEgCoAX3Ed6klr//kAxgF4XQhxI4A3AJTDXPPsJJjrnt0B4JT+/L2IiIiIiIjyjUEzIiIiIiKiIiOlfF8IcQCAXwI4DEA9gAtCnpIEsNl1DGlln/0DZoCtGcC1rud1ALgQQAoMmhERERER0SDHoBkREREREVERklJ+AOBwIcQhAE4GsBRm5lk1gBYAGwC8BOARAH+w9ncf420hxDwAlwM4HsB4AN0ANgL4K4CfSClfFUKc1d+/DxERERERUb4JKWW+z4GIiIiIiIiIiIiIiIgor4x8nwARERERERERERERERFRvjFoRkRERERERERERERERCWPQTMiIiIiIiIiIiIiIiIqeQyaERERERERERERERERUclj0IyIiIiIiIiIiIiIiIhKHoNmREREREREREREREREVPIYNCMiIiIiIiIiIiIiIqKSx6AZERERERERERERERERlTwGzYiIiIiIiIiIiIiIiKjkMWhGREREREREREREREREJY9BMyIiIiIiIiIiIiIiIip5DJoRERERERERERERERFRyfv/EZLJLgQE07oAAAAASUVORK5CYII=\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(30,10))\n", + "plt.plot(daily_df['all'])\n", + "plt.xlabel('Year', fontsize=30)\n", + "plt.ylabel('Daily Solar Power Generation in GW', fontsize=30)\n", + "plt.title('Daily Solar Power Generation in Germany', fontsize=40)\n", + "plt.savefig('data.png')" + ] + }, + { + "cell_type": "markdown", + "id": "printable-architecture", + "metadata": { + "id": "printable-architecture" + }, + "source": [ + "## Distribution of the data" + ] + }, + { + "cell_type": "markdown", + "id": "d74afbf7", + "metadata": {}, + "source": [ + "**Let us take a look at the distribution of daily power generation.**" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "dietary-consortium", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 388 + }, + "id": "dietary-consortium", + "outputId": "2e8e19af-d605-44c4-c9cd-32892ef428dd", + "scrolled": false + }, + "outputs": [ + { + "data": { + "image/png": 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DW2c3dy7d6HUpIjIE4baAfxLmsbjU1N6F32ekJsXnLwRHF2Zy7UljeXj5Dt6tqve6HBEJ04BNPjM7GTgFKDSzW/p8KRuI7UUThqCpvYuMZD9m/e0LGh9uPncST79bzTceW8OSG04lKQ5m9IkkusF+SpOBTHqCOqvPrQG4MrKlRU9ze/wNQTtYTloS/zF/KuurG/jpC5u9LkdEwjBg6jjnXgJeMrP7nXPbo1RT1DW1d1GcFf9b/Jx/3Ggun1XGj1/YxInj8zhlQoHXJYnIAML9PTXFzBaZ2bNm9kLvLaKVRYlzrqcLIk7WgRjMd+dP5ejCTG58aLXWiRCJceEG8O+B1cC/AF/vc4t77V1BuoMu7rsgeqUnB1h03Wy6neOz971FbaOGponEqnADuMs5d49zbrlzbmXvLaKVRUm8D0Hrz1GFmfzqM3Oorm9lwaI32NPQ5nVJItKPcAP4KTP7kpmVmFle7y2ilUXJSAxggDnj8lj8dyewu76N+T97jbU7NTxNJNaEG8AL6elyeB1YGbqtiFRR0TRSAxjgxKPy+d3nT8aAy+95nV+8tGXQbYwqxozFzMK6VYwZG51vRGSECit1nHPjI12IV5rb4ncdiHBMLcthyY2ncdsT7/Kff/4bf167m/+6YhqTR2f1e35V5Q7ufHZDWO99y3mTh7NUkYQTVuqY2Wf6O+6c+83wlhN9Te1dpCX58fvidxLGYAoyU/j5tbN5ak01335yLRfe/TKXzSznq+dMpCIv3evyRBJWuM2+uX0epwJnA6uAERHAI7H74WBmxqXTSzl9QgH3vLSF+19/nyXv7OSaE8dyw1kTKMiM/3HQIvEm3C6IG/s+N7Mc4LcRqSjKmtu7Y34r+iNRMWYsVZUf3bzTn1VAzqmf4r7Oc7j3r+/R8NYTNLz1h+gXKJLADrfp1wJMHM5CvNLU3kVxdhy1/sw35DUrBurTPdDcwetb97E55RpKPv4ZqpbciXMurtfFEIkX4fYBPwX0Xj73A8cCj0SqqGjpCgZp7YyzdSBcMOyLZDD4hbLcjGQuPr6E3fVtvLypltYLb+KxVTs565gi8jKSj7RaERlAuMnz330edwHbnXNVEagnqprbuwFGzDTkIzE6J5WrZpfz7a9/hZRPfJX/XbaD0ycWMK08R61hkQgJaxxwaFGev9GzElou0BHJoqJlJI8BPhxmRtOaZ7nupLFU5KXx4sZa/rx2N+1d3V6XJjIihbsjxieB5cBVwCeBZWYW98tRNiuA+5WREuDS6aWcOiGfzbVNPLy8krqWEfF/rkhMCTd5bgPmOudqAMysEHgOeDRShUWDWsCHZmbMGZtHSXYaf3x3F79bUcml00spyUnzujSRESPcqci+3vAN2TeE18aspvYuAj4jJRD330rElOWm8ck5FaQE/Dy2aidbapu8LklkxAg3eZ4xs7+Y2WfN7LPAn4CnI1dWdDS3dZGREtBFpkHkpifzyTnlFGam8Kd3q9mwu9HrkkRGhMH2hJsAFDvnvm5mlwOnAQa8ATwYhfoiKlFmwQ2H9OQAl80sY8k7u/jLut10u4EX9RGRwQ3WAr4LaARwzj3unLvFOXczPa3fuyJbWuQpgIcmOeBj3oxSKvLSWfreHjKnn+91SSJxbbAAHuecW3PwQefcCmBcRCqKEucczR1xNgkjBiT5fXxiWgnj8tPJv+BGFr/+vtclicStwQI4dYCvxfXl8LbOnq2IRvI6EJES8Pu4ZFopLRte59tL1rHo5S1elyQSlwYL4LfM7B8PPmhmn6NnUfa4pSFoR8bvM2qX/BeXTCvhe0//jR8t3YhTv7DIkAyWPl8FnjCza/i/wJ0DJAOXRbCuiPsggDUN+fAFu7l7wUzSkvzc/fwmGtu6+JeLj8U3gtdWFhlOA6aPc24PcIqZfRyYGjr8J+dc3G9J3xvAI3UnjGjx+4z/umIamakB7n1tG/Wtnfzn5ceTrLHVIoMKdz3gvwJ/jXAtUfVBACcrgI+Uz2f82yVTyElL4q7nNlF1oIWfXzubXK2mJjKghG2mNLd3kZ48srciiiYz46vnTOLuBTNYXVnH/P95jY17NGFDZCAJG8AaAxwZ82aU8fD1J9Hc3s0nfvIq97+2jeAgOzGLJCoFsAy7WWNyefqm0zjl6Hy+89R7LLxvOdv3NXtdlkjMSdgA7l0HQiKjKCuVez87l+/On8rK7Qc4586X+Pen1nGgWctaivRKyAC2QDJtXUG1gCPMzLj2pLG8+E9ncuXscu59ZSvT/+VJ8s/7EsmF4zCzAW+BpORBz+l7qxgz1utvWWRIEjKB/Jl5gCZhREtRdir/efk0fnj9JZz9rw+wMe0SsmZdTHF2CkcVZnJ0QQZ5GckfWZXulvMmD+v+dyKxJiETyJ+ZD6BpyFHWua+S86aM5vSJ3azf1cDGmkbe2LKPN7bsIys1wJi8dCpy06nISyNdwwMlASTkv3J/Vk8AqwXsjbQkP7PG5jJrbC5N7V1sq21m+/5mNtc0sW5XAwCFWSmMOuOz7NjfQmlOKgF/QvaWyQiXkAkU6A1gTUP2XGZKgOPLczi+PIdg0FHT2M6O/S3s2N9C9tx5PLF6J36fUToqlTF56YzJS6cwM0WL6MuIELFmhZlVmNlfzWy9ma0zs5tCx/PMbKmZbQrd5/Z5zbfMbLOZbTCziC0268/MJ8lvJKtVFVN8PmN0TionjM/jytnlVN79KS6dXsrxZTm0tHfz2uZ9PLS8kgeW7eDtyjraO7Vbs8S3SDYBu4CvOedWmVkWsNLMlgKfBZ53zt1hZrcCtwLfNLMpwALgOKAUeM7MJjnnhv2nzJ9VoK2I4oDrbGN8QQbjCzKAntmL2/Y2s3ZXPS9trOX1LXuZXj6KWWNzSUtSf77En4gFsHOuGqgOPW40s/VAGTAPODN02mLgReCboeMPO+fagW1mthk4gZ7tj4aVPytf/b9xKCMlwNSyHKaW5VDT0MbKHQdYsf0Aa6rqmTlmFPiTvC5RZEii8ju4mY0DZgLL6NljrjeYq4Gi0GllQGWfl1WFjh38Xteb2QozW1FbW3tY9QQyFcDDwnxDGqc7nIqyU7lwagnXnjiGMXnpLNu2n9LP/YyXNh7evwkRL0Q8hcwsE3gM+KpzrmGAH8T+vvCRRQScc4uARQBz5swZ8iIDwaDDn5mnWXDDwQU9H6ebn5nCxdNK2LG/hUeeq2Lhvcu5YlY5/z7vOP0nKzEvoi1gM0uiJ3wfdM49Hjq8x8xKQl8vAWpCx6uAij4vLwd2DXdN+5o7MH+ALP1wjihj8tLZdd8N3HjWBJ5YXcUlP36FNVV1XpclMqBIjoIw4NfAeufcnX2+tARYGHq8EHiyz/EFZpZiZuOBicDy4a5rT0MboIXYR6TuLr523mQevv5kOrqCXHHP6zy4bLvXVYkcUiRbwKcC1wFnmdnbodtFwB3AuWa2CTg39Bzn3DrgEeA94Bngy5EYAbG7vieA9evpyHXC+Dyevul0Tp1QwG1PrOXbT66lqzvodVkiHxHJURCv0n+/LsDZh3jN7cDtkaoJYHeDAjgRjEpP5tcL53LHn9fzy1e2saW2mXuunUVWqkZKSOxIuJkIexracMFu0pM1bnSk8/uM2y6ewvevnMabW/exYNGb1Da2e12WyAcSLoB317fR3VynnXtHokMMi7t67hh2/u7feHd7DTO+9huSRo3W8pUSExLu9/DdDW10N+7zugyJhEGGxVXXt/Lk27vIvWkxl88q4z/mHx/F4kQ+KuFawHsa2uhuUgAnopKcNK6cXU530PHYqioCuaVelyQJLuECeO64PNp2rPG6DPFIQWYKl88qIxiE4k//J0n55dptQzyTcF0Qt192PN+7/Cngv70uRTxSkJnCFbPKWPzCXiZ9+VdcMauc3IzkAV+j3TYkEhKuBSwCPVOY9zz0zwQdPLqqSpuFiicUwJKwOvdVcsWsMpyDx1ZXUdeiEJboUgBLQsvv0yf82Kqd1Ld2el2SJBAFsCS8gswULptZRld3kMdWVdGgEJYoUQCL0LMJ6GWzyujoCoVwm0JYIk8BLBJSlJXKZTPLaOsK8viqnTQqhCXCFMAifRRnp3LZjDJaO7p5bNVOmtq6vC5JRjAFsMhBRuekMn9maU8Ir66iuV0hLJGhABbpR0lOGvNmlNLc3sVjq6rwpY/yuiQZgRTAIodQOiqNedPLaGzrovhTt2spSxl2CmCRAZTl9rSEA9nFXHHP67y/t9nrkmQEUQCLDKI8N509D/8zjW2dXHHP67xTWed1STJCKIBFwtBRvZHHvngKacl+PvXLN3lxQ83gLxIZhAJYJExHFWby+BdPYVx+Bv+weAUPLd/hdUkS5xTAIkNQlJ3K7z5/EqdMKOBbj7/LbU+8S0eXdlyWw6MAFhmirNQk7vvsXL5wxtE8uGwHn/7lm1TXt3pdlsQhBbDIYfD7jFsvPIaffGom71U3cOHdr/Dsut1elyVxRgEscgQ+Mb2UP954GuW5aVz/25X86x/W0tbZ7XVZEicUwCJHqOfi3Kn84+nj+e2b25n309dYX93gdVkSBxTAIsMgOeDjtounsPjvT2BfcweX/vRV/ufFzXQHndelSQxTAIsMozMmFfLszR/j3CnFfP+ZDXzyF29o9pwckgJYZJjlZSTzs0/P4u4FM9i0p5EL736F3765HefUGpYPUwCLhMN8mFnYtzFjxzFvRhl/ufljzBmXy7/+YS0L73uL3fVtXn8nEkMCXhcgEhdckDuf3RD26becNxnoWdbyN39/Ag8s28H3/rSe8370Ev8xfyqXTi/FzCJVrcQJtYBFIszMuO6ksTx90+lMKMrkpoff5ob/Xc3+5g6vSxOPKYBFomR8QQa//8IpfOOCyTz73m4uuvsVVm4/4HVZ4iEFsEgU+X3Gl86cwBNfOpWkgLFg0Rv85o33qRgzdkh9zBVjxnr9rcgwUB+wSCSELtoNxJeSQf4lX+Pfuh2tU+fzg19+Cb8vvH7h3j5miW8KYJFICPOinXOON7fuZznn8eTbO7n4+BJSkvxRKFBigbogRDxkZpx8dD57/3QnO+taeWRlFY1tnV6XJVGiABaJAc1rX2D+jDKa2rp4dGUV9a0K4USgABaJERV56Vw+q4yOriC/X1mpYWoJQAEsEkOKs1O5YnY5zsGjK6s4oBAe0RTAIjGmIDOFK2eVA/D46p00qDtixFIAi8Sg3IxkLptZRmd3kMdX76SpvcvrkiQCFMAiMaowK4X5M8po6ejiD2/vpL1LO22MNApgkRg2OieVS6aVcqC5g6ff3a0F3kcYBbBIjBuTl85ZxxSxY38Lf91Qo3WFRxDNhBOJA8eV5tDQ2sXy9/eTk5bkdTkyTBTAInHipKPyqG/t5PUt+0g/9mNelyPDQF0QInHCzDhnShGlo1IpuOirrKmq87okOUIKYJE4EvD5uPj4ErqbD/D5366ktrHd65LkCCiAReJMenKAmse/y4GWDr74wEo6uoJelySHSQEsEoc6a7bxgyuns2L7Ab7z1Dqvy5HDpItwInHqE9NLWbergZ+/tIXjSrO55kTtkhFv1AIWiWNfP38yZ04u5NtPruOt9/d7XY4MkQJYJI75fcbdC2ZSkZfOFx9Yya66Vq9LkiGIWACb2b1mVmNma/scyzOzpWa2KXSf2+dr3zKzzWa2wczOj1RdIiNCaM85M2NUejKv3nEdNfvqmH3TL/AlpWgTzzgRyT7g+4GfAr/pc+xW4Hnn3B1mdmvo+TfNbAqwADgOKAWeM7NJzjmtPiLSn372nNta28RTa9I59wdLOX9K8Yc2BdUmnrEpYi1g59zLwMGdUvOAxaHHi4H5fY4/7Jxrd85tAzYDJ0SqNpGR6KjCTE4+Kp8NuxtZvaPO63IkDNHuAy52zlUDhO6LQsfLgMo+51WFjn2EmV1vZivMbEVtbW1EixWJN3PH5TKhKJNXN+9l+75mr8uRQcTKRTjr51i/Sz455xY55+Y45+YUFhZGuCyR+GJmnHtsMXmZyfx57W7qWrSlUSyLdgDvMbMSgNB9Teh4FVDR57xyYFeUaxMZEZIDPj4xrRQDnlpTrZlyMSzaAbwEWBh6vBB4ss/xBWaWYmbjgYnA8ijXJjJi5KQlcdHxJRxo6eAv63bT/y+Z4rVIDkN7CHgDmGxmVWb2OeAO4Fwz2wScG3qOc24d8AjwHvAM8GWNgBA5MhV56XxsYiFb9zaTc9qnvC5H+hGxYWjOuUP9jZ99iPNvB26PVD0iiWh6eQ41jW2sP/XTLHlnF5dOL/W6JOkjVi7CiUgEmBlnHVNEW+Va/un377Byu6YrxxIFsMgIF/D5qH38dkpzUvnH36zU8LQYogAWSQDBtkbu+7sTCDrH393/FvUtnV6XJCiARRLG+IIMfnHtbCr3t/AFLeQeExTAIgnkxKPy+f6V03hj6z5ue+JdbXHvMS3ILpJgLptZzra9Lfz4+U1U5KXzlbMnel1SwlIAiySgm8+ZSNX+Fu5cupGirBQWnDDG65ISkrogRBJBn/WDzQyfz8ePPj2H1i0r+Oajb5M+8SStHewBtYBFEkE/6wcDdHYHeWxVFYGr/o3LZpZRNipNawdHkVrAIgksye9j3vQyslMDPPXOLvY2tXtdUkJRAIskuLRkP/NnlBHwGU++vQt/lpZ5jRYFsIiQnZbEvBlldHQHKb76/6klHCUKYBEBoDArhUunleLPLuS6Xy/XYu5RoAAWkQ+U5aZR+/jtbKlpYuF9b9HYpinLkaQAFpEPaXt/NT+7ZhbrdtbzuftX0NLR5XVJI5YCWEQ+4twpxfzo6hms2L6fz/92JW2d2h8hEhTAItKvT0wv5ftXTueVTXu54X9X0dmtxXuGmwJYRA7pytnl/Mf8qTy3voYvP7hKK6gNMwWwiHzYQdOWP3PyOPYv/TnPvreH8gX/jgWSP/R1TV0+fJqKLCIfdohpy+9W1fMCJ/Cx7/2FS6aVEPD3tN80dfnwqQUsImE5vjyHc44tYvv+Fp58Z5f6hIeBAlhEwnZcaQ7nTylm54FWnli9U6MjjpC6IERkSI4pySbg9/HM2t38fmUV/qx8r0uKW2oBi8iQTSjKZN6MUprauhh97Q/YXNPkdUlxSQEsIoelIi+dK2aXYf4krvr566zaccDrkuKOAlhEDltRViq7H/gGWalJLFj0Jkve2eV1SXFFASwiR6SrrponvnQK08tz+MpDq7nruY3abTlMCmAROWL5mSk88A8ncvmsMu56bhM3Pfy2RkiEQaMgRGRYpAT8/PCq6UwoyuT7z2yg8kALi66bQ2FWitelxSy1gEVk2JgZXzpzAvdcM4v11Q3M++mrvFtV73VZMUsBLCJH5qC1I8yMi6aVsu2XN7KjcgeX3PUCmcefo7Uj+qEuCBE5ModYOwKgpaOLZ9buxi6+mY9f/x3OmFTI1y84JsoFxi4FsIhETHpygPkzynh96z5Wbj9AbWM7/kzNnOulLggRiSifzzhtQgEXTR3NvuZ2ShbexRtb9nldVkxQAItIVEwszuLqORUE25u45ldvcvdzm+gOJvZ4YQWwiERNfmYK1YtvZv6MMn703EY+c+8yahrbvC7LMwpgEYkq19nGDz85ne9fOY2V2w9w0d2v8uqmvV6X5QkFsIhEnZnxyTkVLLnhNHLTk7ju3mX88NkNdCXYIu8KYBHxzKTiLJbccBpXzS7nJy9s5tO/WsbOulavy4oaBbCIeCot2c/3r5zOj66ezrqd9Vzwo5d5bGVVQizoowAWkZhw2cxy/nzTxzi2JJuv/f4dvvDASvY1tXtdVkRpIoaIRFdo6vJAX8+eO49nuj7D08s3wIqHqXzjqejVF0UKYBGJrgGmLve1t6mdZ9ftofaML3Dz797mXy4+lvzMkbWymrogRCQmFWSmcPXcCupee4g/rtnFWT98iYeX7yA4giZvKIBFJGb5fUb9qw/y9FdOZ3JxFrc+/i5XL3qDDbsbvS5tWKgLQkRim/mYNDobgIzjz+HNM/+O87bupWnNs9S9+iDB5roPTi2vGEPlju0eFTp0CmARiW0H9Rm3dnazfOt+1vgvJG/2Rcwek8ussbkk+X3cct5kDwsdOgWwiMSVtCQ/Z0wuZFpFDq9v3seb2/azZmc9M8eMwpLTvC5vSNQHLCJxKTc9mYunlXDV7HIKMlN4bfM+yr5wL3cu3ciB5g6vywuLAlhE4lrpqDQum1nG1XMqaK9cy4+f38TJdzzP1x55hxXv74/pGXXqghCREWF0Tiq1T9zOht0NLH79fZ58exePrapiYlEmV8+t4MLjSygbFVtdFApgERlRJhVncftlx/PPFx3LH9fs4qHllXz3T+v57p/WM7Usm/OnjObc44qZXJw18Iy8KFAAi8iIlJES4Oq5Y7h67hi27W3m2XW7+cu63fxw6UZ+uHQjuelJzBmXx9xxucwZl8cxo7NIT45uJMZcAJvZBcDdgB/4lXPuDo9LEpF4Mdg6E4A/I5fUo2bTVH4c+/dMZ+l7RT0vNRiTl86k4iwmF2cxJi+dstw0ykalUTIqlZSAf9jLjakANjM/8DPgXKAKeMvMljjn3vO2MhGJC2GuM9HrlvMms6ehlVXb69iwu5GNexrZsKeRF/5W85H96vIykpk7LpdfXDdn2MqNqQAGTgA2O+e2ApjZw8A8QAEsIsPPfBRn93NhzhcgkJWPP6eIQHYRgZwiGjPy2LvMwTAGsMXSEA0zuxK4wDn3D6Hn1wEnOudu6HPO9cD1oaeTgfD/u/s/BUC8bUKlmiMv3uoF1RwtR1rzXufcBQcfjLUWcH+dNx/6H8I5twhYdEQfYrbCOTd8/41FgWqOvHirF1RztESq5libiFEFVPR5Xg7s8qgWEZGIirUAfguYaGbjzSwZWAAs8bgmEZGIiKkuCOdcl5ndAPyFnmFo9zrn1kXgo46oC8Mjqjny4q1eUM3REpGaY+oinIhIIom1LggRkYShABYR8UhCBbCZXWBmG8xss5nd6nU9gzGzCjP7q5mtN7N1ZnaT1zWFy8z8ZrbazP7odS3hMLNRZvaomf0t9Od9stc1DcbMbg79u1hrZg+ZWarXNR3MzO41sxozW9vnWJ6ZLTWzTaH7XC9rPNghav5B6N/GGjN7wsxGDcdnJUwA95nmfCEwBfiUmU3xtqpBdQFfc84dC5wEfDkOau51E7De6yKG4G7gGefcMcB0Yrx2MysDvgLMcc5Npeei9QJvq+rX/cDBExBuBZ53zk0Eng89jyX389GalwJTnXPTgI3At4bjgxImgOkzzdk51wH0TnOOWc65aufcqtDjRnpCoczbqgZnZuXAxcCvvK4lHGaWDXwM+DWAc67DOVfnaVHhCQBpZhYA0onBMfPOuZeB/QcdngcsDj1eDMyPZk2D6a9m59yzzrmu0NM36ZmjcMQSKYDLgMo+z6uIgzDrZWbjgJnAMo9LCcddwDeAoMd1hOsooBa4L9Rt8iszy/C6qIE453YC/w3sAKqBeufcs95WFbZi51w19DQygCKP6xmqvwf+PBxvlEgBPOg051hlZpnAY8BXnXMNXtczEDO7BKhxzq30upYhCACzgHucczOBZmLv1+IPCfWbzgPGA6VAhpld621VI5+Z3UZP1+CDw/F+iRTAcTnN2cyS6AnfB51zj3tdTxhOBS41s/fp6eY5y8we8LakQVUBVc653t8uHqUnkGPZOcA251ytc64TeBw4xeOawrXHzEoAQvc1HtcTFjNbCFwCXOOGaQJFIgVw3E1ztp6VpX8NrHfO3el1PeFwzn3LOVfunBtHz5/xC865mG6ZOed2A5VmNjl06GxifwnUHcBJZpYe+ndyNjF+4bCPJcDC0OOFwJMe1hKW0EYR3wQudc61DNf7JkwAhzrQe6c5rwceidA05+F0KnAdPa3It0O3i7wuaoS6EXjQzNYAM4DveVvOwEKt9UeBVcC79Pwsx9wUXzN7CHgDmGxmVWb2OeAO4Fwz20TP5gsxtevNIWr+KZAFLA39HP58WD5LU5FFRLyRMC1gEZFYowAWEfGIAlhExCMKYBERjyiARUQ8ogAWoWeqd9/Vr0LHvmNm/+RVTTLyKYBFRDyiABYR8YgCWETEIwpgkR6HmhKqqaISMQpgkR77gIO3xskD9npQiyQIBbAI4JxrAqrN7Gzo2beMnm1pXvW0MBnRtBiPSEhov72f8X8t4R8454Zl4W2R/iiARUQ8oi4IERGPKIBFRDyiABYR8YgCWETEIwpgERGPKIBFRDyiABYR8cj/B4AJl+tNrBJWAAAAAElFTkSuQmCC\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "sns.displot(daily_df['all'], kde=True)\n", + "plt.xlabel('U')\n", + "plt.savefig('datadistr.png')" + ] + }, + { + "cell_type": "markdown", + "id": "b3b0acf1", + "metadata": {}, + "source": [ + "**We can see that the distribution is skewed to the left. Since we will later apply a linear regression, we would prefer data that is approximately normally distributed. To shift our distribution, we apply the following transformation.**" + ] + }, + { + "cell_type": "markdown", + "id": "28ac5a33", + "metadata": {}, + "source": [ + "**First, we apply Min-Max scaling.**" + ] + }, + { + "cell_type": "markdown", + "id": "b119e701", + "metadata": {}, + "source": [ + "$\\tilde{U_t}=\\frac{U_t-U_{min}}{U_{max}-U_{min}}$" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "60492991", + "metadata": {}, + "outputs": [], + "source": [ + "scaler = MinMaxScaler()\n", + "scaled = scaler.fit_transform(daily_df['all'].to_numpy().reshape(-1, 1))\n", + "epsilon = 0.1\n", + "scaled[scaled==0]=epsilon\n", + "scaled[scaled==1]=1-epsilon" + ] + }, + { + "cell_type": "markdown", + "id": "be07a6cb", + "metadata": {}, + "source": [ + "**Then, we apply a logit normal transformation to the scaled values.**" + ] + }, + { + "cell_type": "markdown", + "id": "5faa3c1c", + "metadata": {}, + "source": [ + "$U^*=\\log{\\left(\\frac{\\tilde{U}_t}{1-\\tilde{U}_t}\\right)}$" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "8cd326e2", + "metadata": { + "scrolled": false + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "transformed = np.log(scaled/(1-scaled))\n", + "daily_df['transformed'] = transformed\n", + "sns.displot(transformed, kde=True, legend=None)\n", + "plt.xlabel('$U^*$')\n", + "plt.savefig('transformeddistr.png')" + ] + }, + { + "cell_type": "markdown", + "id": "b9adb110", + "metadata": {}, + "source": [ + "**Let us take a look at our transformed time series.**" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "ceea06d9", + "metadata": { + "scrolled": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(daily_df['transformed'])" + ] + }, + { + "cell_type": "markdown", + "id": "LZ3jN3qs0m37", + "metadata": { + "id": "LZ3jN3qs0m37" + }, + "source": [ + "## Seasonality" + ] + }, + { + "cell_type": "markdown", + "id": "9ff83741", + "metadata": {}, + "source": [ + "**We can see a strong seasonal component in the data. To get rid of it, we apply a linear regression and continue working with its residuals. \n", + "After thinking about the underlying process behind the data and experimenting with it, we model our data as following:** \n", + "\n", + "\n", + "$U^*_t = \\beta_0 + \\beta_1 \\cdot t + \\beta_2 \\cdot \\sqrt[4]t \\cos \\left(2\\pi \\frac{t-11}{365}\\right)+X_t$ \n", + "\n", + "- $\\beta_0$ **is the intercept.** \n", + "- $\\beta_1$ **is a linear time coefficient. The behind it is that the amount of solar panels increases steadily over time.** \n", + "- $\\beta_2$ **models seasonality. The cosine term describes the yearly seasonality, as power generation heavily depends on natural seasons. The wave is shifted by 11 days. That is because winter solstice is exactly 11 days before New Year. Furthermore, we scale seasonal component by the fourth square-root of time, as a non-linear development of solar energy plants comes into play.**" + ] + }, + { + "cell_type": "markdown", + "id": "7d9db29b", + "metadata": {}, + "source": [ + "**We will use the scikit-learn library for implementation. To get more more information about the regression, we will also conduct it using the statsmodels library and print the model summary.**" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "884ea0c2", + "metadata": {}, + "outputs": [], + "source": [ + "def get_seasonal_component(timeseries):\n", + " time = np.arange(len(timeseries))\n", + " x_vals = np.array((time, (time**0.25*np.cos(2*np.pi*(time+11)/365)))).T\n", + " lm = LinearRegression().fit(x_vals, timeseries)\n", + " print(f'Intercept: {lm.intercept_}')\n", + " print(f'Coefficients: {lm.coef_}')\n", + " print(f'R-squared: {lm.score(x_vals, timeseries)}')\n", + " return lm.predict(x_vals)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "2a6b5aa9", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "
OLS Regression Results
Dep. Variable: y R-squared: 0.724
Model: OLS Adj. R-squared: 0.724
Method: Least Squares F-statistic: 5272.
Date: Fri, 05 Aug 2022 Prob (F-statistic): 0.00
Time: 16:22:05 Log-Likelihood: -4394.5
No. Observations: 4018 AIC: 8795.
Df Residuals: 4015 BIC: 8814.
Df Model: 2
Covariance Type: nonrobust
\n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "
coef std err t P>|t| [0.025 0.975]
const -2.0841 0.023 -91.413 0.000 -2.129 -2.039
x1 0.0005 9.83e-06 46.923 0.000 0.000 0.000
x2 -0.2282 0.002 -92.181 0.000 -0.233 -0.223
\n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "
Omnibus: 507.081 Durbin-Watson: 0.620
Prob(Omnibus): 0.000 Jarque-Bera (JB): 1086.897
Skew: -0.766 Prob(JB): 9.62e-237
Kurtosis: 5.036 Cond. No. 4.64e+03


Notes:
[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.
[2] The condition number is large, 4.64e+03. This might indicate that there are
strong multicollinearity or other numerical problems." + ], + "text/plain": [ + "\n", + "\"\"\"\n", + " OLS Regression Results \n", + "==============================================================================\n", + "Dep. Variable: y R-squared: 0.724\n", + "Model: OLS Adj. R-squared: 0.724\n", + "Method: Least Squares F-statistic: 5272.\n", + "Date: Fri, 05 Aug 2022 Prob (F-statistic): 0.00\n", + "Time: 16:22:05 Log-Likelihood: -4394.5\n", + "No. Observations: 4018 AIC: 8795.\n", + "Df Residuals: 4015 BIC: 8814.\n", + "Df Model: 2 \n", + "Covariance Type: nonrobust \n", + "==============================================================================\n", + " coef std err t P>|t| [0.025 0.975]\n", + "------------------------------------------------------------------------------\n", + "const -2.0841 0.023 -91.413 0.000 -2.129 -2.039\n", + "x1 0.0005 9.83e-06 46.923 0.000 0.000 0.000\n", + "x2 -0.2282 0.002 -92.181 0.000 -0.233 -0.223\n", + "==============================================================================\n", + "Omnibus: 507.081 Durbin-Watson: 0.620\n", + "Prob(Omnibus): 0.000 Jarque-Bera (JB): 1086.897\n", + "Skew: -0.766 Prob(JB): 9.62e-237\n", + "Kurtosis: 5.036 Cond. No. 4.64e+03\n", + "==============================================================================\n", + "\n", + "Notes:\n", + "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n", + "[2] The condition number is large, 4.64e+03. This might indicate that there are\n", + "strong multicollinearity or other numerical problems.\n", + "\"\"\"" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "time = np.arange(len(transformed))\n", + "x_vals = np.array((time, (time**0.25*np.cos(2*np.pi*(time+11)/365)))).T\n", + "\n", + "model = sm.OLS(transformed, sm.add_constant(x_vals))\n", + "\n", + "results = model.fit()\n", + "\n", + "results.summary()" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "63068aa8", + "metadata": {}, + "outputs": [], + "source": [ + "f = open('ols.tex', 'w')\n", + "f.write(results.summary(xname=['beta0', 'beta1', 'beta2']).as_latex())\n", + "f.close()" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "248be21a", + "metadata": { + "scrolled": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Intercept: [-2.08409933]\n", + "Coefficients: [[ 0.00046127 -0.22820751]]\n", + "R-squared: 0.7242120048393265\n" + ] + } + ], + "source": [ + "daily_df['seasonality'] = get_seasonal_component(transformed)\n", + "daily_df['cleaned'] = daily_df['transformed'] - daily_df['seasonality']" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "6bcb1040", + "metadata": { + "scrolled": false + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(15,5))\n", + "plt.plot(daily_df['transformed'])\n", + "plt.plot(daily_df['seasonality'], c='r', linewidth=3)\n", + "plt.legend(['Observed data', 'Regression fit'])\n", + "plt.xlabel('Date', fontsize=12)\n", + "plt.savefig('seasonality.png')" + ] + }, + { + "cell_type": "markdown", + "id": "bdb36ea0", + "metadata": {}, + "source": [ + "### Residuals after regression" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "54c7e938", + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(daily_df['cleaned'])\n", + "plt.title('Residual $X_t$', fontsize=15)\n", + "plt.xlabel('Date', fontsize=12)\n", + "plt.savefig('afterlm.png')" + ] + }, + { + "cell_type": "markdown", + "id": "87c459b6", + "metadata": {}, + "source": [ + "**The residuals look good, except in the very beginning. That is no problem, since we can just drop the first year of our data and work with the remaining 10 years.**" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "283984ee", + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "data": { + "text/html": [ + "
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50HertzAmprionTennetTransnet BWalltransformedseasonalitycleaned
Date
2011-01-010.0110420.0220420.0582500.0099170.101250-4.775061-2.895385-1.879675
2011-01-020.0245420.0729580.0902080.0356670.223375-3.973572-2.892215-1.081357
2011-01-030.0225830.0808750.0660420.0788750.248375-3.865377-2.888749-0.976628
2011-01-040.0191250.0895000.0671670.0679580.243750-3.884564-2.884988-0.999576
2011-01-050.0510420.1910000.2057500.1065000.554292-3.036477-2.880932-0.155545
\n", + "
" + ], + "text/plain": [ + " 50Hertz Amprion Tennet Transnet BW all transformed \\\n", + "Date \n", + "2011-01-01 0.011042 0.022042 0.058250 0.009917 0.101250 -4.775061 \n", + "2011-01-02 0.024542 0.072958 0.090208 0.035667 0.223375 -3.973572 \n", + "2011-01-03 0.022583 0.080875 0.066042 0.078875 0.248375 -3.865377 \n", + "2011-01-04 0.019125 0.089500 0.067167 0.067958 0.243750 -3.884564 \n", + "2011-01-05 0.051042 0.191000 0.205750 0.106500 0.554292 -3.036477 \n", + "\n", + " seasonality cleaned \n", + "Date \n", + "2011-01-01 -2.895385 -1.879675 \n", + "2011-01-02 -2.892215 -1.081357 \n", + "2011-01-03 -2.888749 -0.976628 \n", + "2011-01-04 -2.884988 -0.999576 \n", + "2011-01-05 -2.880932 -0.155545 " + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "daily_df = daily_df[365:]\n", + "daily_df.head()" + ] + }, + { + "cell_type": "markdown", + "id": "95982546", + "metadata": {}, + "source": [ + "**We will print the RMSE of our residuals.**" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "8803af75", + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "ename": "NameError", + "evalue": "name 'daily2' is not defined", + "output_type": "error", + "traceback": [ + "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[1;31mNameError\u001b[0m Traceback (most recent call last)", + "\u001b[1;32m~\\AppData\\Local\\Temp/ipykernel_19972/1857837103.py\u001b[0m in \u001b[0;36m\u001b[1;34m\u001b[0m\n\u001b[1;32m----> 1\u001b[1;33m \u001b[0mrmse\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mnp\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mlinalg\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mnorm\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mdaily_df\u001b[0m\u001b[1;33m[\u001b[0m\u001b[1;34m'cleaned'\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m/\u001b[0m\u001b[0mnp\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0msqrt\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mlen\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mdaily2\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 2\u001b[0m \u001b[0mprint\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;34mf'RMSE of residuals: {rmse.round(4)}'\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n", + "\u001b[1;31mNameError\u001b[0m: name 'daily2' is not defined" + ] + } + ], + "source": [ + "rmse = np.linalg.norm(daily_df['cleaned'])/np.sqrt(len(daily2))\n", + "print(f'RMSE of residuals: {rmse.round(4)}')" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "5cd1791a", + "metadata": { + "scrolled": false + }, + "outputs": [], + "source": [ + "sns.displot(daily_df['cleaned'], kde=True)" + ] + }, + { + "cell_type": "markdown", + "id": "e9ed2431", + "metadata": {}, + "source": [ + "**We can see that our residuals are approximately normally distributed.**" + ] + }, + { + "cell_type": "markdown", + "id": "b849e4f5", + "metadata": {}, + "source": [ + "## Time series modelling" + ] + }, + { + "cell_type": "markdown", + "id": "a7b19bf9", + "metadata": {}, + "source": [ + "**Now it is time to work on the time series. First, we inspect its partial autocorrelation.**" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "FMtXyUL7cyyz", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 600 + }, + "id": "FMtXyUL7cyyz", + "outputId": "f10842c0-73c2-4425-9efe-e67fb675c523", + "scrolled": true + }, + "outputs": [], + "source": [ + "fig = plot_pacf(daily_df['cleaned'])\n", + "plt.xlabel('Lags', fontsize=12)\n", + "plt.title('Partial Autocorrelation', fontsize=15)\n", + "plt.savefig('pacf.png')" + ] + }, + { + "cell_type": "markdown", + "id": "ce19a21f", + "metadata": {}, + "source": [ + "**Based on this result, we apply a ARIMA(1,0,1) model.**" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "ddcf2ca1", + "metadata": { + "scrolled": true + }, + "outputs": [], + "source": [ + "model = ARIMA(daily_df['cleaned'], order=(1,0,1)).fit()" + ] + }, + { + "cell_type": "markdown", + "id": "d75a244d", + "metadata": {}, + "source": [ + "**Again, we give out the residuals after applying the ARIMA model.**" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "53d851e3", + "metadata": { + "scrolled": true + }, + "outputs": [], + "source": [ + "rmse = np.linalg.norm(model.resid)/np.sqrt(len(model.resid))\n", + "print(f'RMSE of residuals after ARIMA: {rmse.round(4)}')" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "8965b972", + "metadata": {}, + "outputs": [], + "source": [ + "model.summary()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "6313ed4b", + "metadata": {}, + "outputs": [], + "source": [ + "f = open('arma.tex', 'w')\n", + "f.write(model.summary().as_latex())\n", + "f.close()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "02a315cb", + "metadata": { + "scrolled": false + }, + "outputs": [], + "source": [ + "plt.figure(figsize=(30,10))\n", + "\n", + "# plt.plot(predictions, c='g')\n", + "plt.plot(daily_df['cleaned'], c='b')\n", + "plt.plot(model.fittedvalues, c='r')\n", + "plt.title('Model fit over the whole timespan', fontsize=25)\n", + "plt.xlabel('Date', fontsize=18)\n", + "plt.legend(['Observed data', 'Model fit'], fontsize=15)\n", + "plt.savefig('armafitall.png')" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "366ee892", + "metadata": { + "scrolled": false + }, + "outputs": [], + "source": [ + "plt.figure(figsize=(30,10))\n", + "\n", + "daily2['arma_fit'] = model.fittedvalues\n", + "# plt.plot(predictions, c='g')\n", + "plt.plot(daily_df['cleaned'].iloc[365:365*2], c='b')\n", + "plt.plot(daily_df['arma_fit'].iloc[365:365*2], c='r')\n", + "plt.title('Model fit in 2012', fontsize=25)\n", + "plt.xlabel('Date', fontsize=18)\n", + "plt.legend(['Observed data', 'Model fit'], fontsize=15)\n", + "plt.savefig('armafit1year.png')" + ] + }, + { + "cell_type": "markdown", + "id": "c6ea3d26", + "metadata": {}, + "source": [ + "**The statsmodels library returns four plots that describe the model fit.**" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "3a5ea7fe", + "metadata": { + "scrolled": true + }, + "outputs": [], + "source": [ + "fig = plt.figure(figsize=(20,20))\n", + "a = model.plot_diagnostics(fig=fig)\n", + "plt.savefig('residplot.png')\n", + "plt.close()" + ] + }, + { + "cell_type": "markdown", + "id": "78bebbed", + "metadata": {}, + "source": [ + "![title](residplot.png)" + ] + } + ], + "metadata": { + "colab": { + "name": "stf_project.ipynb", + "provenance": [] + }, + "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": "3.9.7" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/afterlm.png b/afterlm.png new file mode 100644 index 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Variable:} & cleaned & \textbf{ No. Observations: } & 3653 \\ +\textbf{Model:} & ARIMA(1, 0, 1) & \textbf{ Log Likelihood } & -2738.148 \\ +\textbf{Date:} & Sun, 07 Aug 2022 & \textbf{ AIC } & 5484.296 \\ +\textbf{Time:} & 12:57:23 & \textbf{ BIC } & 5509.109 \\ +\textbf{Sample:} & 01-01-2011 & \textbf{ HQIC } & 5493.132 \\ +\textbf{} & - 12-31-2020 & \textbf{ } & \\ +\bottomrule +\end{tabular} +\begin{tabular}{lcccccc} + & \textbf{coef} & \textbf{std err} & \textbf{z} & \textbf{P$> |$z$|$} & \textbf{[0.025} & \textbf{0.975]} \\ +\midrule +\textbf{const} & 0.0593 & 0.025 & 2.338 & 0.019 & 0.010 & 0.109 \\ +\textbf{ar.L1} & 0.6961 & 0.018 & 38.043 & 0.000 & 0.660 & 0.732 \\ +\textbf{ma.L1} & -0.1208 & 0.024 & -5.031 & 0.000 & -0.168 & -0.074 \\ +\textbf{sigma2} & 0.2621 & 0.006 & 43.612 & 0.000 & 0.250 & 0.274 \\ +\bottomrule +\end{tabular} +\begin{tabular}{lclc} +\textbf{Ljung-Box (L1) (Q):} & 0.14 & \textbf{ Jarque-Bera (JB): } & 95.96 \\ +\textbf{Prob(Q):} & 0.71 & \textbf{ Prob(JB): } & 0.00 \\ +\textbf{Heteroskedasticity (H):} & 1.20 & \textbf{ Skew: } & -0.37 \\ +\textbf{Prob(H) (two-sided):} & 0.00 & \textbf{ Kurtosis: } & 3.30 \\ +\bottomrule +\end{tabular} +%\caption{SARIMAX Results} +\end{center} + +Warnings: \newline + [1] Covariance matrix calculated using the outer product of gradients (complex-step). \ No newline at end of file diff --git a/armafit1year.png b/armafit1year.png new file mode 100644 index 0000000000000000000000000000000000000000..fa60425d98665d138fd18af287f5cfecdcc00c64 GIT binary patch literal 168747 zcmeFZc|6o@8#X>j?g-skT8yRage)=05{a?PR@P*T>}%E`X`x2OzC{`PmL)Q_Db|0o7%-3T!Cb_ob}@NvS4tpWE?q z{KbGbG}O5xT=;1A!R^d<^t7js%ge7iw|H5%Ov<#W*|n4<23^TIjA72PcK^NtPokoc5QhJGLp}QM>Hm2N5xGbU{omL0*P`hD=XD;I zYPtVD*iX~2{Pz_kik2S>7X0tS_|_5Fzc0WO#;5=9;)nM5e`f!WTl_zV`;R654K=6O z8JLkWaz+X1ubH|=VoTh!&3P9Qj`htJ=EjYDhZ!2p9z>pLTz=RwW#sCXNaj%!u3|nM zWkKzq@HBS198J5o_TxlDh}^2Y>Bj3~!FRsdth%AbcsOcN;F9j>`4Z6&o_)`ndFST> 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diff --git a/ols.tex b/ols.tex new file mode 100644 index 0000000..c5d77f9 --- /dev/null +++ b/ols.tex @@ -0,0 +1,35 @@ +\begin{center} +\begin{tabular}{lclc} +\toprule +\textbf{Dep. Variable:} & y & \textbf{ R-squared: } & 0.724 \\ +\textbf{Model:} & OLS & \textbf{ Adj. R-squared: } & 0.724 \\ +\textbf{Method:} & Least Squares & \textbf{ F-statistic: } & 5272. \\ +\textbf{Date:} & Sun, 07 Aug 2022 & \textbf{ Prob (F-statistic):} & 0.00 \\ +\textbf{Time:} & 12:57:19 & \textbf{ Log-Likelihood: } & -4394.5 \\ +\textbf{No. Observations:} & 4018 & \textbf{ AIC: } & 8795. \\ +\textbf{Df Residuals:} & 4015 & \textbf{ BIC: } & 8814. \\ +\textbf{Df Model:} & 2 & \textbf{ } & \\ +\bottomrule +\end{tabular} +\begin{tabular}{lcccccc} + & \textbf{coef} & \textbf{std err} & \textbf{t} & \textbf{P$> |$t$|$} & \textbf{[0.025} & \textbf{0.975]} \\ +\midrule +\textbf{beta0} & -2.0841 & 0.023 & -91.413 & 0.000 & -2.129 & -2.039 \\ +\textbf{beta1} & 0.0005 & 9.83e-06 & 46.923 & 0.000 & 0.000 & 0.000 \\ +\textbf{beta2} & -0.2282 & 0.002 & -92.181 & 0.000 & -0.233 & -0.223 \\ +\bottomrule +\end{tabular} +\begin{tabular}{lclc} +\textbf{Omnibus:} & 507.081 & \textbf{ Durbin-Watson: } & 0.620 \\ +\textbf{Prob(Omnibus):} & 0.000 & \textbf{ Jarque-Bera (JB): } & 1086.897 \\ +\textbf{Skew:} & -0.766 & \textbf{ Prob(JB): } & 9.62e-237 \\ +\textbf{Kurtosis:} & 5.036 & \textbf{ Cond. No. } & 4.64e+03 \\ +\bottomrule +\end{tabular} +%\caption{OLS Regression Results} +\end{center} + +Notes: \newline + [1] Standard Errors assume that the covariance matrix of the errors is correctly specified. \newline + [2] The condition number is large, 4.64e+03. 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