{ "cells": [ { "cell_type": "markdown", "id": "20dae2e7-1538-4dad-889c-9e3b21497ce6", "metadata": {}, "source": [ "Implement Boston housing price prediction problem by Linear\n", "regression using Deep Neural network. Use Boston House price\n", "prediction dataset." ] }, { "cell_type": "code", "execution_count": 1, "id": "d7f99aeb-7f4e-4322-b058-49189e035004", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "2026-05-13 13:37:42.546895: I tensorflow/core/util/port.cc:153] oneDNN custom operations are on. You may see slightly different numerical results due to floating-point round-off errors from different computation orders. To turn them off, set the environment variable `TF_ENABLE_ONEDNN_OPTS=0`.\n", "2026-05-13 13:37:42.583781: I tensorflow/core/platform/cpu_feature_guard.cc:210] This TensorFlow binary is optimized to use available CPU instructions in performance-critical operations.\n", "To enable the following instructions: AVX2 AVX_VNNI FMA, in other operations, rebuild TensorFlow with the appropriate compiler flags.\n", "2026-05-13 13:37:43.704972: I tensorflow/core/util/port.cc:153] oneDNN custom operations are on. You may see slightly different numerical results due to floating-point round-off errors from different computation orders. To turn them off, set the environment variable `TF_ENABLE_ONEDNN_OPTS=0`.\n" ] } ], "source": [ "# import os\n", "# os.environ[\"CUDA_VISIBLE_DEVICES\"] = \"-1\" # Must be before any TF import\n", "\n", "import tensorflow as tf\n", "tf.config.set_visible_devices([], 'GPU')\n", "import pandas as pd" ] }, { "cell_type": "code", "execution_count": 2, "id": "bb40346f-2450-42dc-8aef-057d10c48081", "metadata": {}, "outputs": [], "source": [ "df = pd.read_csv('BostonHousing.csv')" ] }, { "cell_type": "markdown", "id": "767e4a5b-4fff-4f74-90a4-adde40337f6c", "metadata": {}, "source": [ "## Boston Housing Dataset\n", "\n", "It's a dataset of **506 suburbs/towns around Boston, Massachusetts (USA)** collected in **1978**. Each row is one town/neighborhood. The goal is to predict **MEDV** — the median house price — based on various socioeconomic and geographic features of that area.\n", "\n", "---\n", "\n", "### Column Meanings\n", "\n", "| Column | Full Name | What it means |\n", "|--------|-----------|---------------|\n", "| **CRIM** | Crime Rate | Per capita crime rate in that town. Higher = more crime. |\n", "| **ZN** | Zoning | % of residential land zoned for large plots (>25,000 sq ft). Higher = more suburban/spacious. |\n", "| **INDUS** | Industry | % of land used for non-retail business (factories, warehouses). Higher = more industrial area. |\n", "| **CHAS** | Charles River | **Binary.** 1 = the town borders the Charles River, 0 = it doesn't. |\n", "| **NOX** | Nitric Oxide | Air pollution level (nitric oxide concentration). Higher = more polluted. |\n", "| **RM** | Rooms | Average number of rooms per house in that town. Higher = bigger houses. |\n", "| **AGE** | Age | % of houses built before 1940. Higher = older neighborhood. |\n", "| **DIS** | Distance | Weighted distance to 5 major Boston employment centres. Higher = farther from jobs. |\n", "| **RAD** | Highway Access | Index of how accessible radial highways are. Higher = better highway access. |\n", "| **PTRATIO** | Pupil-Teacher Ratio | Number of students per teacher in that town. Higher = more overcrowded schools. |\n", "| **LSTAT** | Lower Status | % of population that is \"lower status\" (low income / less educated). Higher = poorer area. |\n", "| **MEDV** | Median Value | **Target variable.** Median house price in $1,000s. So 24.0 means $24,000. |\n", "| **CAT_MEDV** | Category | A derived column — 1 if MEDV > 25 (expensive), 0 if ≤ 25 (cheap). Used for classification tasks. |\n", "| **TAX** | Tax Rate | Property tax rate per $10,000 of property value. |\n", "\n" ] }, { "cell_type": "code", "execution_count": 3, "id": "a2f6833a-816b-4e1a-858c-439c09df3096", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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CRIMZNINDUSCHASNOXRMAGEDISRADTAXPTRATIOLSTATMEDVCAT_MEDV
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" ], "text/plain": [ " CRIM ZN INDUS CHAS NOX RM AGE DIS RAD TAX PTRATIO \\\n", "0 0.00632 18.0 2.31 0 0.538 6.575 65.2 4.0900 1 296 15.3 \n", "1 0.02731 0.0 7.07 0 0.469 6.421 78.9 4.9671 2 242 17.8 \n", "2 0.02729 0.0 7.07 0 0.469 7.185 61.1 4.9671 2 242 17.8 \n", "3 0.03237 0.0 2.18 0 0.458 6.998 45.8 6.0622 3 222 18.7 \n", "4 0.06905 0.0 2.18 0 0.458 7.147 54.2 6.0622 3 222 18.7 \n", "\n", " LSTAT MEDV CAT_MEDV \n", "0 4.98 24.0 0 \n", "1 9.14 21.6 0 \n", "2 4.03 34.7 1 \n", "3 2.94 33.4 1 \n", "4 5.33 36.2 1 " ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df.head()" ] }, { "cell_type": "code", "execution_count": 4, "id": "1fa6dcbd-7b2a-4e58-9654-2b233037c5c9", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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CRIMZNINDUSCHASNOXRMAGEDISRADTAXPTRATIOLSTATMEDVCAT_MEDV
count506.000000506.000000506.000000506.000000506.000000506.000000506.000000506.000000506.000000506.000000506.000000506.000000506.000000506.000000
mean3.61352411.36363611.1367790.0691700.5546956.28463468.5749013.7950439.549407408.23715418.45553412.65306322.5328060.166008
std8.60154523.3224536.8603530.2539940.1158780.70261728.1488612.1057108.707259168.5371162.1649467.1410629.1971040.372456
min0.0063200.0000000.4600000.0000000.3850003.5610002.9000001.1296001.000000187.00000012.6000001.7300005.0000000.000000
25%0.0820450.0000005.1900000.0000000.4490005.88550045.0250002.1001754.000000279.00000017.4000006.95000017.0250000.000000
50%0.2565100.0000009.6900000.0000000.5380006.20850077.5000003.2074505.000000330.00000019.05000011.36000021.2000000.000000
75%3.67708312.50000018.1000000.0000000.6240006.62350094.0750005.18842524.000000666.00000020.20000016.95500025.0000000.000000
max88.976200100.00000027.7400001.0000000.8710008.780000100.00000012.12650024.000000711.00000022.00000037.97000050.0000001.000000
\n", "
" ], "text/plain": [ " CRIM ZN INDUS CHAS NOX RM \\\n", "count 506.000000 506.000000 506.000000 506.000000 506.000000 506.000000 \n", "mean 3.613524 11.363636 11.136779 0.069170 0.554695 6.284634 \n", "std 8.601545 23.322453 6.860353 0.253994 0.115878 0.702617 \n", "min 0.006320 0.000000 0.460000 0.000000 0.385000 3.561000 \n", "25% 0.082045 0.000000 5.190000 0.000000 0.449000 5.885500 \n", "50% 0.256510 0.000000 9.690000 0.000000 0.538000 6.208500 \n", "75% 3.677083 12.500000 18.100000 0.000000 0.624000 6.623500 \n", "max 88.976200 100.000000 27.740000 1.000000 0.871000 8.780000 \n", "\n", " AGE DIS RAD TAX PTRATIO LSTAT \\\n", "count 506.000000 506.000000 506.000000 506.000000 506.000000 506.000000 \n", "mean 68.574901 3.795043 9.549407 408.237154 18.455534 12.653063 \n", "std 28.148861 2.105710 8.707259 168.537116 2.164946 7.141062 \n", "min 2.900000 1.129600 1.000000 187.000000 12.600000 1.730000 \n", "25% 45.025000 2.100175 4.000000 279.000000 17.400000 6.950000 \n", "50% 77.500000 3.207450 5.000000 330.000000 19.050000 11.360000 \n", "75% 94.075000 5.188425 24.000000 666.000000 20.200000 16.955000 \n", "max 100.000000 12.126500 24.000000 711.000000 22.000000 37.970000 \n", "\n", " MEDV CAT_MEDV \n", "count 506.000000 506.000000 \n", "mean 22.532806 0.166008 \n", "std 9.197104 0.372456 \n", "min 5.000000 0.000000 \n", "25% 17.025000 0.000000 \n", "50% 21.200000 0.000000 \n", "75% 25.000000 0.000000 \n", "max 50.000000 1.000000 " ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df.describe()" ] }, { "cell_type": "code", "execution_count": 5, "id": "5b09d469-e69f-4e17-97ae-eacedc91c661", "metadata": {}, "outputs": [], "source": [ "# # Filter to only non-dunder methods (actual usable stuff)\n", "# [m for m in dir(df) if not m.startswith('_')]" ] }, { "cell_type": "code", "execution_count": 6, "id": "b9ec79cd-4adf-4fc2-8ace-c76b3a65590f", "metadata": {}, "outputs": [], "source": [ "# help(df.drop)" ] }, { "cell_type": "code", "execution_count": 7, "id": "ca648893-ecf8-4b9e-bd12-36b85f0815d5", "metadata": {}, "outputs": [], "source": [ "df = df.drop(columns = ['CAT_MEDV'])" ] }, { "cell_type": "code", "execution_count": 8, "id": "ab536b35-9055-4cdc-9028-3eafab033106", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "RangeIndex: 506 entries, 0 to 505\n", "Data columns (total 13 columns):\n", " # Column Non-Null Count Dtype \n", "--- ------ -------------- ----- \n", " 0 CRIM 506 non-null float64\n", " 1 ZN 506 non-null float64\n", " 2 INDUS 506 non-null float64\n", " 3 CHAS 506 non-null int64 \n", " 4 NOX 506 non-null float64\n", " 5 RM 506 non-null float64\n", " 6 AGE 506 non-null float64\n", " 7 DIS 506 non-null float64\n", " 8 RAD 506 non-null int64 \n", " 9 TAX 506 non-null int64 \n", " 10 PTRATIO 506 non-null float64\n", " 11 LSTAT 506 non-null float64\n", " 12 MEDV 506 non-null float64\n", "dtypes: float64(10), int64(3)\n", "memory usage: 51.5 KB\n" ] } ], "source": [ "# Check column names, dtypes, nulls\n", "df.info()" ] }, { "cell_type": "code", "execution_count": 9, "id": "81302afb-9289-4b49-82a5-6bb513a1c21b", "metadata": {}, "outputs": [], "source": [ "# [m for m in dir(df) if not m.startswith('_')]" ] }, { "cell_type": "code", "execution_count": 10, "id": "efdcb9b7-eb71-4f9d-8f0f-259d138dfd79", "metadata": {}, "outputs": [], "source": [ "# help(df.isna)" ] }, { "cell_type": "code", "execution_count": 11, "id": "a39109f0-b7c8-4415-9e83-b755c4e59f1d", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Missing values per column:\n", "CRIM 0\n", "ZN 0\n", "INDUS 0\n", "CHAS 0\n", "NOX 0\n", "RM 0\n", "AGE 0\n", "DIS 0\n", "RAD 0\n", "TAX 0\n", "PTRATIO 0\n", "LSTAT 0\n", "MEDV 0\n", "dtype: int64\n" ] } ], "source": [ "# Check for missing values\n", "print('Missing values per column:')\n", "print(df.isnull().sum())" ] }, { "cell_type": "code", "execution_count": 12, "id": "195d02bd-8a35-449f-b0cb-8fc440880ff9", "metadata": {}, "outputs": [], "source": [ "import seaborn as sns\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 13, "id": "f6fc7c14-ac3b-4034-ba75-7abba5c68783", "metadata": {}, "outputs": [], "source": [ "# help(sns.histplot)" ] }, { "cell_type": "code", "execution_count": 14, "id": "7a6e4555-a2a6-4fba-9dff-28a42ac1a5f0", "metadata": {}, "outputs": [], "source": [ "# help(plt.figure)" ] }, { "cell_type": "code", "execution_count": 15, "id": "476d543b-98eb-44e2-b027-fef41699d057", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8, 4))\n", "sns.histplot(df.MEDV)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 16, "id": "637e64dd-ce05-49e5-95d8-81e01beff6c6", "metadata": {}, "outputs": [ { "data": { "image/png": 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mqKGhQePHj1d+fr66devW6ecDAAAAc5lablNTU2UYRqvHbTabsrKylJWV1eqcHj16aN26dVq3bl0HJAQAAEBXErL33AIAAABtRbkFAACAZVBuAQAAYBmUWwAAAFgG5RYAAACWQbkFAACAZVBuAQAAYBmUWwAAAFgG5RYAAACWQbkFAACAZVBuAQAAYBmUWwAAAFhGu8rtddddp6+//rrF+DfffKPrrrvuskMBAAAA7dGucnv8+HGdO3euxbjP59PJkycvOxQAAADQHmFtmbxr1y7/f7/99ttyOBz+/XPnzumdd95RYmJi0MIBAAAAbdGmcnvnnXdKkmw2m9LT0wOOhYeHKzExUU8//XTQwgEAAABt0aZy29zcLElKSkrS/v37FRsb2yGhAAAAgPZoU7k9r6ysLNg5AAAAgMvWrnIrSe+8847eeecdVVVV+a/onrdp06bLDgYAAAC0VbvK7erVq/X4449r1KhRiouLk81mC3YuAAAAoM3aVW5feOEF5efna/bs2cHOAwAAALRbu55z29jYqJSUlGBnAQAAAC5Lu8rtz3/+c23bti3YWQAAAIDL0q7bEs6cOaONGzdqz549uvHGGxUeHh5wPDc3NyjhAKCjlZaWmh2hw8TGxiohIcHsGADQqdpVbj/55BONGDFCknT48OGAY3y5DEBX0OD9WpJNs2bNMjtKh4mI6KlPPy2l4AK4orSr3L733nvBzgEAnarpdJ0kQyNmrlDfpIFmxwm62srj+mjTalVXV1NuAVxR2v2cWwCwgqv7JSg6YYDZMQAAQdKucjtu3LhL3n7w7rvvtjvQhc6ePausrCz913/9lzwej+Li4nTvvffqF7/4ha666tvvwhmGodWrV2vjxo2qqanRmDFj9Nxzz2nIkCFByQC0pry8XNXV1WbH6BBWvg8VAGBt7Sq35++3Pa+pqUklJSU6fPiw0tPTg5FLkvTUU0/phRde0JYtWzRkyBAdOHBA9913nxwOhxYvXixJWrt2rXJzc5Wfn6/+/ftrzZo1mjhxoo4eParIyMigZQEuVF5eroEDB6mh4bTZUTpUk6/R7AgAALRJu8rtM888c9HxrKws1dfXX1agC3344Ye64447NGXKFElSYmKiXn31VR04cEDSt1dt8/LytHLlSk2fPl2StGXLFjmdTm3btk3z5s0LWhbgQtXV1WpoOK0xc1YpKi7R7DhBV3noQx3etVFnz541OwoAAG0S1HtuZ82apR/+8If6j//4j6C83y233KIXXnhBn332mfr3768//OEP2rdvn/Ly8iRJZWVl8ng8SktL87/Gbrdr7NixKioqarXc+nw++Xw+/35tbW1Q8uLKExWXaMn7NWsrj5sdAQCAdglquf3www/Vo0ePoL3fihUr5PV6NXDgQHXr1k3nzp3TE088oX/5l3+RJHk8HkmS0+kMeJ3T6dSJEydafd+cnBytXr06aDkBAAAQGtpVbs/fAnCeYRiqrKzUgQMH9OijjwYlmCT9+te/1tatW7Vt2zYNGTJEJSUlysjIkNvtDri392+/3GYYxiW/8JaZmaklS5b492traxUfHx+03AAAADBHu8qtw+EI2L/qqqs0YMAAPf744wG3CFyuhx9+WI888ojuvvtuSdKwYcN04sQJ5eTkKD09XS6XS5L8T1I4r6qqqsXV3AvZ7XbZ7fag5QQAAEBoaFe53bx5c7BzXNTp06f9j/w6r1u3bmpubpYkJSUlyeVyqaCgQDfddJMkqbGxUYWFhXrqqac6JSMAAABCx2Xdc1tcXKzS0lLZbDYNHjzYXzCDZdq0aXriiSeUkJCgIUOG6OOPP1Zubq7mzJkj6dvbETIyMpSdna3k5GQlJycrOztbPXv21MyZM4OaBQAAAKGvXeW2qqpKd999t95//3317t1bhmHI6/Vq3Lhx2r59u/r27RuUcOvWrdOjjz6q+fPnq6qqSm63W/PmzdNjjz3mn7N8+XI1NDRo/vz5/l/isHv3bp5xCwAAcAW66runtLRo0SLV1tbqyJEj+utf/6qamhodPnxYtbW1evDBB4MWLjIyUnl5eTpx4oQaGhr0pz/9SWvWrFH37t39c2w2m7KyslRZWakzZ86osLBQQ4cODVoGAAAAdB3tunL71ltvac+ePRo0aJB/bPDgwXruueeC+oUyAAAAoC3adeW2ublZ4eHhLcbDw8P9X/YCAAAAOlu7yu2Pf/xjLV68WF999ZV/7OTJk3rooYc0fvz4oIUDAAAA2qJd5Xb9+vWqq6tTYmKirr/+et1www1KSkpSXV2d1q1bF+yMAAAAwPfSrntu4+PjdfDgQRUUFOjTTz+VYRgaPHiwJkyYEOx8AAAAwPfWpiu37777rgYPHqza2lpJ0sSJE7Vo0SI9+OCDGj16tIYMGaIPPvigQ4ICAAAA36VN5TYvL0/333+/oqKiWhxzOByaN2+ecnNzgxYOAAAAaIs2lds//OEPuu2221o9npaWpuLi4ssOBQAAALRHm8rtn//854s+Auy8sLAw/eUvf7nsUAAAAEB7tKnc/t3f/Z0OHTrU6vFPPvlEcXFxlx0KAAAAaI82ldt//Md/1GOPPaYzZ860ONbQ0KBVq1Zp6tSpQQsHAAAAtEWbHgX2i1/8Qjt27FD//v21cOFCDRgwQDabTaWlpXruued07tw5rVy5sqOyAgAAAJfUpnLrdDpVVFSkf/3Xf1VmZqYMw5Ak2Ww2TZo0Sc8//7ycTmeHBAUAAAC+S5t/icO1116rN998UzU1NTp27JgMw1BycrL69OnTEfkAAACA761dv6FMkvr06aPRo0cHMwsAAABwWdr0hTIAAAAglFFuAQAAYBmUWwAAAFgG5RYAAACWQbkFAACAZVBuAQAAYBmUWwAAAFgG5RYAAACWQbkFAACAZVBuAQAAYBmUWwAAAFgG5RYAAACWEfLl9uTJk5o1a5ZiYmLUs2dPjRgxQsXFxf7jhmEoKytLbrdbERERSk1N1ZEjR0xMDAAAALOEdLmtqanRj370I4WHh+t3v/ud/vjHP+rpp59W7969/XPWrl2r3NxcrV+/Xvv375fL5dLEiRNVV1dnXnAAAACYIszsAJfy1FNPKT4+Xps3b/aPJSYm+v/bMAzl5eVp5cqVmj59uiRpy5Ytcjqd2rZtm+bNm9fZkQEAAGCikL5yu2vXLo0aNUr//M//rH79+ummm27Sr371K//xsrIyeTwepaWl+cfsdrvGjh2roqKiVt/X5/OptrY2YAMAAEDXF9Ll9osvvtCGDRuUnJyst99+Ww888IAefPBBvfzyy5Ikj8cjSXI6nQGvczqd/mMXk5OTI4fD4d/i4+M77iQAAADQaUK63DY3N+sHP/iBsrOzddNNN2nevHm6//77tWHDhoB5NpstYN8wjBZjF8rMzJTX6/VvFRUVHZIfAAAAnSuky21cXJwGDx4cMDZo0CCVl5dLklwulyS1uEpbVVXV4mruhex2u6KiogI2AAAAdH0hXW5/9KMf6ejRowFjn332ma699lpJUlJSklwulwoKCvzHGxsbVVhYqJSUlE7NCgAAAPOF9NMSHnroIaWkpCg7O1szZszQ//3f/2njxo3auHGjpG9vR8jIyFB2draSk5OVnJys7Oxs9ezZUzNnzjQ5PQAAADpbSJfb0aNHa+fOncrMzNTjjz+upKQk5eXl6Z577vHPWb58uRoaGjR//nzV1NRozJgx2r17tyIjI01MDgAAADOEdLmVpKlTp2rq1KmtHrfZbMrKylJWVlbnhQIAAEBICul7bgEAAIC2oNwCAADAMkL+tgR0TeXl5aqurjY7RocpLS01OwIAALgIyi2Crry8XAMHDlJDw2mzo3S4Jl+j2REAAMAFKLcIuurqajU0nNaYOasUFZdodpwOUXnoQx3etVFnz541OwoAALgA5RYdJiouUdEJA8yO0SFqK4+bHQEAAFwEXygDAACAZVBuAQAAYBmUWwAAAFgG5RYAAACWQbkFAACAZVBuAQAAYBmUWwAAAFgG5RYAAACWQbkFAACAZVBuAQAAYBmUWwAAAFgG5RYAAACWQbkFAACAZVBuAQAAYBmUWwAAAFgG5RYAAACWQbkFAACAZVBuAQAAYBmUWwAAAFgG5RYAAACWQbkFAACAZVBuAQAAYBldqtzm5OTIZrMpIyPDP2YYhrKysuR2uxUREaHU1FQdOXLEvJAAAAAwTZjZAb6v/fv3a+PGjbrxxhsDxteuXavc3Fzl5+erf//+WrNmjSZOnKijR48qMjLSpLQAEBpKS0vNjtBhYmNjlZCQYHYMACGmS5Tb+vp63XPPPfrVr36lNWvW+McNw1BeXp5Wrlyp6dOnS5K2bNkip9Opbdu2ad68eWZFBgBTNXi/lmTTrFmzzI7SYSIieurTT0spuAACdIlyu2DBAk2ZMkUTJkwIKLdlZWXyeDxKS0vzj9ntdo0dO1ZFRUWtllufzyefz+ffr62t7bjwAGCCptN1kgyNmLlCfZMGmh0n6Gorj+ujTatVXV1NuQUQIOTL7fbt23Xw4EHt37+/xTGPxyNJcjqdAeNOp1MnTpxo9T1zcnK0evXq4AYFgBB0db8ERScMMDsGAHSakP5CWUVFhRYvXqytW7eqR48erc6z2WwB+4ZhtBi7UGZmprxer3+rqKgIWmYAAACYJ6Sv3BYXF6uqqkojR470j507d0579+7V+vXrdfToUUnfXsGNi4vzz6mqqmpxNfdCdrtddru944IDAADAFCF95Xb8+PE6dOiQSkpK/NuoUaN0zz33qKSkRNddd51cLpcKCgr8r2lsbFRhYaFSUlJMTA4AAAAzhPSV28jISA0dOjRgrFevXoqJifGPZ2RkKDs7W8nJyUpOTlZ2drZ69uypmTNnmhEZAAAAJgrpcvt9LF++XA0NDZo/f75qamo0ZswY7d69m2fcAgAAXIG6XLl9//33A/ZtNpuysrKUlZVlSh4AAACEjpC+5xYAAABoC8otAAAALINyCwAAAMug3AIAAMAyKLcAAACwDMotAAAALINyCwAAAMug3AIAAMAyKLcAAACwDMotAAAALINyCwAAAMsIMzsAAADtVVpaanaEDhUbG6uEhASzYwBdCuUWANDlNHi/lmTTrFmzzI7SoSIieurTT0spuEAbUG4BAF1O0+k6SYZGzFyhvkkDzY7TIWorj+ujTatVXV1NuQXagHILAOiyru6XoOiEAWbHABBC+EIZAAAALINyCwAAAMug3AIAAMAyKLcAAACwDMotAAAALINyCwAAAMug3AIAAMAyKLcAAACwDMotAAAALINyCwAAAMug3AIAAMAyKLcAAACwjJAutzk5ORo9erQiIyPVr18/3XnnnTp69GjAHMMwlJWVJbfbrYiICKWmpurIkSMmJQYAAICZwswOcCmFhYVasGCBRo8erbNnz2rlypVKS0vTH//4R/Xq1UuStHbtWuXm5io/P1/9+/fXmjVrNHHiRB09elSRkZEmn0HrysvLVV1dbXaMDlFaWmp2BAAATGfln/XnxcbGKiEhwewYAUK63L711lsB+5s3b1a/fv1UXFysW2+9VYZhKC8vTytXrtT06dMlSVu2bJHT6dS2bds0b948M2J/p/Lycg0cOEgNDafNjtKhmnyNZkcAAMAUV8rP+oiInvr009KQKrghXW7/ltfrlSRFR0dLksrKyuTxeJSWluafY7fbNXbsWBUVFbVabn0+n3w+n3+/tra2A1O3VF1drYaG0xozZ5Wi4hI79bM7Q+WhD3V410adPXvW7CgAAJjC6j/rJam28rg+2rRa1dXVlNv2MAxDS5Ys0S233KKhQ4dKkjwejyTJ6XQGzHU6nTpx4kSr75WTk6PVq1d3XNjvKSouUdEJA8yOEXS1lcfNjgAAQEiw6s/6UBbSXyi70MKFC/XJJ5/o1VdfbXHMZrMF7BuG0WLsQpmZmfJ6vf6toqIi6HkBAADQ+brEldtFixZp165d2rt3r6655hr/uMvlkvTtFdy4uDj/eFVVVYuruRey2+2y2+0dFxgAAACmCOkrt4ZhaOHChdqxY4feffddJSUlBRxPSkqSy+VSQUGBf6yxsVGFhYVKSUnp7LgAAAAwWUhfuV2wYIG2bdumN954Q5GRkf57bB0OhyIiImSz2ZSRkaHs7GwlJycrOTlZ2dnZ6tmzp2bOnGlyegAAAHS2kC63GzZskCSlpqYGjG/evFn33nuvJGn58uVqaGjQ/PnzVVNTozFjxmj37t0h/YxbAAAAdIyQLreGYXznHJvNpqysLGVlZXV8IAAAAIS0kL7nFgAAAGgLyi0AAAAsg3ILAAAAy6DcAgAAwDIotwAAALAMyi0AAAAsg3ILAAAAy6DcAgAAwDIotwAAALAMyi0AAAAsg3ILAAAAywgzOwAAALgylZeXq7q62uwYHaK0tNTsCFcsyi0AAOh05eXlGjhwkBoaTpsdpUM1+RrNjnDFodwCAIBOV11drYaG0xozZ5Wi4hLNjhN0lYc+1OFdG3X27Fmzo1xxKLcAAIQwq/7z9vnziopLVHTCAJPTBF9t5XGzI1yxKLcAAISgBu/XkmyaNWuW2VE6FP9sj2Cj3AIAEIKaTtdJMjRi5gr1TRpodpyg45/t0VEotwAAhLCr+yXwz/ZAG/CcWwAAAFgG5RYAAACWQbkFAACAZVBuAQAAYBmUWwAAAFgG5RYAAACWQbkFAACAZVBuAQAAYBmUWwAAAFiGZcrt888/r6SkJPXo0UMjR47UBx98YHYkAAAAdDJLlNtf//rXysjI0MqVK/Xxxx/rH/7hHzR58mSVl5ebHQ0AAACdyBLlNjc3V3PnztXPf/5zDRo0SHl5eYqPj9eGDRvMjgYAAIBOFGZ2gMvV2Nio4uJiPfLIIwHjaWlpKioquuhrfD6ffD6ff9/r9UqSamtrOy7oBerr6yVJfz1xVGd9DZ3ymZ2ptvKEJMl78nOFh9lMTtMxrH6OVj8/yfrnyPl1fVY/R86v66v1fPsv5PX19Z3Soc5/hmEYl55odHEnT540JBm///3vA8afeOIJo3///hd9zapVqwxJbGxsbGxsbGxsXWyrqKi4ZDfs8lduz7PZAv9WZBhGi7HzMjMztWTJEv9+c3Oz/vrXvyomJqbV1yA4amtrFR8fr4qKCkVFRZkdB52ANb/ysOZXHtb8ytTZ624Yhurq6uR2uy85r8uX29jYWHXr1k0ejydgvKqqSk6n86KvsdvtstvtAWO9e/fuqIi4iKioKP4HeIVhza88rPmVhzW/MnXmujscju+c0+W/UNa9e3eNHDlSBQUFAeMFBQVKSUkxKRUAAADM0OWv3ErSkiVLNHv2bI0aNUo333yzNm7cqPLycj3wwANmRwMAAEAnskS5veuuu/T111/r8ccfV2VlpYYOHao333xT1157rdnR8DfsdrtWrVrV4rYQWBdrfuVhza88rPmVKVTX3WYY3/U8BQAAAKBr6PL33AIAAADnUW4BAABgGZRbAAAAWAblFgAAAJZBuUXQ7d27V9OmTZPb7ZbNZtPrr78ecNwwDGVlZcntdisiIkKpqak6cuSIOWERFDk5ORo9erQiIyPVr18/3XnnnTp69GjAHNbdWjZs2KAbb7zR//D2m2++Wb/73e/8x1lv68vJyZHNZlNGRoZ/jHW3nqysLNlstoDN5XL5j4fimlNuEXSnTp3S8OHDtX79+oseX7t2rXJzc7V+/Xrt379fLpdLEydOVF1dXScnRbAUFhZqwYIF+t///V8VFBTo7NmzSktL06lTp/xzWHdrueaaa/Tkk0/qwIEDOnDggH784x/rjjvu8P9QY72tbf/+/dq4caNuvPHGgHHW3ZqGDBmiyspK/3bo0CH/sZBccwPoQJKMnTt3+vebm5sNl8tlPPnkk/6xM2fOGA6Hw3jhhRdMSIiOUFVVZUgyCgsLDcNg3a8Uffr0MV588UXW2+Lq6uqM5ORko6CgwBg7dqyxePFiwzD4c25Vq1atMoYPH37RY6G65ly5RacqKyuTx+NRWlqaf8xut2vs2LEqKioyMRmCyev1SpKio6Mlse5Wd+7cOW3fvl2nTp3SzTffzHpb3IIFCzRlyhRNmDAhYJx1t67PP/9cbrdbSUlJuvvuu/XFF19ICt01t8RvKEPX4fF4JElOpzNg3Ol06sSJE2ZEQpAZhqElS5bolltu0dChQyWx7lZ16NAh3XzzzTpz5oyuvvpq7dy5U4MHD/b/UGO9rWf79u06ePCg9u/f3+IYf86tacyYMXr55ZfVv39//fnPf9aaNWuUkpKiI0eOhOyaU25hCpvNFrBvGEaLMXRNCxcu1CeffKJ9+/a1OMa6W8uAAQNUUlKib775Rq+99prS09NVWFjoP856W0tFRYUWL16s3bt3q0ePHq3OY92tZfLkyf7/HjZsmG6++WZdf/312rJli/7+7/9eUuitObcloFOd/4bl+b/tnVdVVdXib37oehYtWqRdu3bpvffe0zXXXOMfZ92tqXv37rrhhhs0atQo5eTkaPjw4Xr22WdZb4sqLi5WVVWVRo4cqbCwMIWFhamwsFD/+Z//qbCwMP/asu7W1qtXLw0bNkyff/55yP5Zp9yiUyUlJcnlcqmgoMA/1tjYqMLCQqWkpJiYDJfDMAwtXLhQO3bs0LvvvqukpKSA46z7lcEwDPl8PtbbosaPH69Dhw6ppKTEv40aNUr33HOPSkpKdN1117HuVwCfz6fS0lLFxcWF7J91bktA0NXX1+vYsWP+/bKyMpWUlCg6OloJCQnKyMhQdna2kpOTlZycrOzsbPXs2VMzZ840MTUux4IFC7Rt2za98cYbioyM9P8t3uFwKCIiwv8sTNbdOv7t3/5NkydPVnx8vOrq6rR9+3a9//77euutt1hvi4qMjPTfR39er169FBMT4x9n3a1n2bJlmjZtmhISElRVVaU1a9aotrZW6enpoftn3bTnNMCy3nvvPUNSiy09Pd0wjG8fHbJq1SrD5XIZdrvduPXWW41Dhw6ZGxqX5WLrLcnYvHmzfw7rbi1z5swxrr32WqN79+5G3759jfHjxxu7d+/2H2e9rwwXPgrMMFh3K7rrrruMuLg4Izw83HC73cb06dONI0eO+I+H4prbDMMwTOrVAAAAQFBxzy0AAAAsg3ILAAAAy6DcAgAAwDIotwAAALAMyi0AAAAsg3ILAAAAy6DcAgAAwDIotwAAALAMyi0AAAAsg3ILACHk3nvvlc1m0wMPPNDi2Pz582Wz2XTvvfcGzP3b7bbbbvO/JjEx0T8eERGhxMREzZgxQ++++65/ztNPPy2Hw6HTp0+3+MwzZ86od+/eys3NDf7JAkAHoNwCQIiJj4/X9u3b1dDQ4B87c+aMXn31VSUkJATMve2221RZWRmwvfrqqwFzHn/8cVVWVuro0aN6+eWX1bt3b02YMEFPPPGEJOlnP/uZGhoa9Nprr7XI8tprr+n06dOaPXt2B5wpAARfmNkBAACBfvCDH+iLL77Qjh07dM8990iSduzYofj4eF133XUBc+12u1wu1yXfLzIy0j8nISFBt956q+Li4vTYY4/ppz/9qQYMGKBp06Zp06ZNLUrspk2bdPvtt6tv375BPEMA6DhcuQWAEHTfffdp8+bN/v1NmzZpzpw5QXv/xYsXyzAMvfHGG5KkuXPnqrCwUGVlZf45x48f13vvvae5c+cG7XMBoKNRbgEgBM2ePVv79u3T8ePHdeLECf3+97/XrFmzWsz77W9/q6uvvjpg++Uvf/md7x8dHa1+/frp+PHjkqRJkybJ7XYrPz/fP2fz5s1yu91KS0sL1mkBQIfjtgQACEGxsbGaMmWKtmzZIsMwNGXKFMXGxraYN27cOG3YsCFgLDo6+nt9hmEYstlskqRu3bopPT1d+fn5WrVqlWw2m7Zs2aJ7771X3bp1u/wTAoBOQrkFgBA1Z84cLVy4UJL03HPPXXROr169dMMNN7T5vb/++mv95S9/UVJSUsDn5eTk+J+kUF5ervvuu68dyQHAPJRbAAhRt912mxobGyV9e9tAMD377LO66qqrdOedd/rHrr/+eo0dO1abN2+WYRhKTU3V9ddfH9TPBYCORrkFgBDVrVs3lZaW+v/7Ynw+nzweT8BYWFhYwC0MdXV18ng8ampqUllZmbZu3aoXX3xROTk5La76zp07V/fff78k6cUXXwzm6QBAp+ALZQAQwqKiohQVFdXq8bfeektxcXEB2y233BIw57HHHlNcXJxuuOEGzZ49W16vV++8845WrFjR4v1+8pOfyG63y263a/r06UE/HwDoaDbDMAyzQwAAAADBwJVbAAAAWAblFgAAAJZBuQUAAIBlUG4BAABgGZRbAAAAWAblFgAAAJZBuQUAAIBlUG4BAABgGZRbAAAAWAblFgAAAJZBuQUAAIBl/D/7IqY6fmYypwAAAABJRU5ErkJggg==", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8, 4))\n", "sns.histplot(df.MEDV, bins = 10)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 17, "id": "30cc3fe7-7431-4b73-9354-3cb9a669d44e", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8, 4))\n", "sns.histplot(df.MEDV, bins = 100, kde=True)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 18, "id": "bcbbaf63-a7fe-430c-a99e-648990786c5d", "metadata": {}, "outputs": [], "source": [ "# help(sns.boxplot)" ] }, { "cell_type": "code", "execution_count": 19, "id": "03829080-d728-451e-b259-9fd9c893ac76", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1, 3, figsize=(15, 4))\n", "axes[0].scatter(df['RM'], df['MEDV'], color='red')\n", "axes[0].set_xlabel(\"RM\")\n", "axes[0].scatter(df['RM'], df['MEDV'], color='red')" ] }, { "cell_type": "code", "execution_count": 20, "id": "8ac5e916-1e41-4da9-af22-fd669ee56fcd", "metadata": {}, "outputs": [ { "data": { "image/png": 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XXXQR991338SyrVu3smXLlikf81q/fj2/+c1vuPPOO48pa+9v/uZvCIfDRKNRLrroInp7e/n0pz/Ny1/+8inbHSkzAWDz5s3k83nuvPNONE2bdpuenh6ee+45br31VgBc1534evnLX86+ffsOufdCCCGWBk3T+NSnPsWOHTu45557uO2223Ach3/+53/mrLPO4uGHHz6q4wVBMFHC5brrrgNg5cqVXHXVVdN+2utYNDU1ccMNN/D5z39+4uPbY2NjfOtb3+KNb3zjxHuUY30/UHPPPfcQDocxTZMzzjiDzZs384EPfIA777xzynazma+ff/55XnjhBd785jcTjUan3cayLH7605/yR3/0R8Tj8UPma8uyePzxx4/qGoQQQiwc55577pQs7iM5mr+HR0dHJ0q6fPe730XTNP74j/94ylzS1tbGeeedd0ipsZkcKRZQ8/Wvf53LL7+cZDKJYRiEw2Huvfdetm7dOqvzfPe73+Xqq6+mo6Njynivv/56gMO+FzEMgz/+4z/mG9/4BrlcDlCfFPjiF7/Iq1/9apqamgC4+OKLAbjpppv42te+xt69e2c1tprvf//7hMNhwuEwK1eu5Gtf+xp/8Rd/wQc/+MEp273qVa+a8RPkNeVymYcffpibbrrpsP3Ojue+CDEbEkQX4gT7whe+wBNPPMGDDz7IHXfcwdatW7n55psn1o+MjACq4/TBOjo68H2fsbExxsbGCIJgxu0mH6umsbFxys+mac643LKsiZ/f8IY38B//8R/s3r2b1772tbS0tHDJJZfwk5/85IjXe/vtt/PYY4/x3HPPAaojeSQSmXLN733ve/n4xz/O448/zvXXX09TUxPXXHMNTz755BGPD/CXf/mXPPHEE/zqV7/ihRdeYN++ffzZn/3ZIdtNd68ONjw8DEBnZ+eM29Q+rvfud797YuKvfdUCAUcbWBBCCHFqWb58OW9961u599572b59O1/96lexLIu//uu/PqrjPPjgg+zcuZP/8T/+B/l8nvHxccbHx7npppsol8s88MADJ2S8t99+O3v37p2Y2x944AGq1eqUmrLH834A1B/aTzzxBE8++STbtm1jZGSE//W//tch252o+XpkZATXdfm///f/HjJf1x60y3wthBDzL5PJEI/HJ8qbzNZs5ovJjubvYWDib+LBwUGCIKC1tfWQ+eTxxx+f9VxypFgAwDe+8Q1uuukmli1bxpe+9CUee+wxnnjiCW6//fYpf6MfzuDgIN/5zncOGetZZ50FHHnuq53rK1/5CqDKp+3bt29K89OXvOQlbNq0Cdd1eeMb30hnZydnn332rN+XXHHFFRPvCX7/+98zPj7O//k//2fi3tfM5r/x2NgYnucd9j0BHP99EeJIjCNvIoQ4GmecccZEA5Grr74az/P493//d/7zP/+TG2+8ceLJ7r59+w7Zt7+/H13XaWhoIAgCdF2fcTtQb0ZOlNtuu43bbruNUqnEz3/+c/7hH/6BV77ylTz//PMsX758xv1uvvlm3vnOd/K5z32OD33oQ3zxi19k48aNNDQ0TGxjGAbvfOc7eec738n4+Dj//d//zfve9z5e9rKX0dfXRzweP+zYOjs7J+7p4cyUWT5Z7cn15PrnB6vd1/e+971Tmq1Ntm7duiOeSwghxNJx0003cdddd/HMM88c1X733nsvAHfffTd33333tOvvuOOO4x7fy172Mjo6Orjvvvt42ctexn333ccll1zCmWeeOWW7Y30/AGqOncv5uqGhYeITem9729um3WblypVHPJcQQoiTKxQKcc011/CDH/yAPXv2HDEYWjOb+eJEyGQyaJrGL37xi2mbnk63bDpHigUAfOlLX2LlypV89atfnXJ9k5tjzma85557Lh/60IemXV9LupvJmWeeyfr167nvvvu44447uO++++jo6OAP/uAPpmz36le/mle/+tVUq1Uef/xx7rrrLm655RZWrFjBZZdddthzpNPpE/aeoLGxkVAodNj3BHD890WII5FMdCFOso9+9KM0NDTw93//9/i+z7p161i2bBn3338/QRBMbFcqlfiv//ovLrvsMuLxOIlEgksuuYRvfOMbVCqVie183+dLX/oSnZ2dR/XRttlKJBJcf/31/O3f/i22bfPss88edvuGhgY2btzIF77wBb773e8yMDBw2I7d9fX13HjjjbztbW9jdHSUXbt2neArOLwNGzaQTqf51Kc+NeX+T7Zu3TrWrl3Lb37zG170ohdN+5VKpeZ03EIIIRaG6R5uAxSLRfr6+o7qD7SxsTG++c1vcvnll/PQQw8d8nXrrbfyxBNPHHVgfjq1YPOmTZv4xS9+wZNPPnnY+fpo3w+caKeddhqrV6/mP/7jP2YMLMTjca6++mqefvppzj333Gnn61ryghBCiPn13ve+lyAIeMtb3jLRCHIyx3H4zne+Mw8jU2VggiBg7969084l55xzzjEd9+BYAKigsWmaU4LHAwMDfOtb3zpk/0gkMiUWMHm8zzzzDKtXr552vLN5L3Lbbbfxy1/+kkceeYTvfOc7vOlNbyIUCk27bSQS4corr+QjH/kIAE8//fSsrv9EicViXHnllXz9618/bDb5ibgvQhyOZKILcZI1NDTw3ve+l/e85z3cf//9/PEf/zEf/ehHufXWW3nlK1/JHXfcQbVa5WMf+xjj4+P87//9vyf2veuuu7juuuu4+uqrefe7341pmtxzzz0888wzPPDAAyfsyfxb3vIWYrEYl19+Oe3t7QwMDHDXXXeRTqcnaqEdzu23385Xv/pV/vzP/5zOzk6uvfbaKetvuOEGzj77bF70ohfR3NzM7t27+Zd/+ReWL1/O2rVrT8g1zFYymeQTn/gEf/qnf8q1117LW97yFlpbW+np6eE3v/kN//Zv/wbApz/9aa6//npe9rKX8Sd/8icsW7aM0dFRtm7dylNPPcXXv/71OR23EEKIufPggw9O+5D35S9/OR/60Id49NFHed3rXsf5559PLBZj586d/Nu//RsjIyN87GMfm/V5vvzlL2NZFm9/+9u56qqrDlnf1NTEl7/8Ze69917++Z//+TiuSLn99tv5yEc+wi233EIsFuN1r3vdlPXH+37gRPvkJz/JDTfcwKWXXspf/dVf0d3dTW9vLz/60Y/48pe/DMC//uu/csUVV/DiF7+Yt771raxYsYJCoUBPTw/f+c53ePDBB+d83EIIIQ512WWX8f/+3//jzjvv5KKLLuKtb30rZ511Fo7j8PTTT/OZz3yGs88+mxtuuGHOx3b55ZfzZ3/2Z9x22208+eSTvOQlLyGRSLBv3z4eeeQRzjnnHN761rce9XGniwW88pWv5Bvf+AZ33nknN954I319ffzTP/0T7e3tbN++fcr+55xzDj/72c/4zne+Q3t7O6lUinXr1vGBD3yAn/zkJ2zYsIG3v/3trFu3Dsuy2LVrF9///vf51Kc+dcRs/9onym+++eZDyrsB/P3f/z179uzhmmuuobOzk/Hxcf71X/+VcDjMlVdeedT34njdfffdXHHFFVxyySX8z//5P1mzZg2Dg4N8+9vf5tOf/jSpVOqE3BchDkeC6ELMgb/4i7/g3/7t3/jABz7AzTffzC233EIikeCuu+7ida97HaFQiEsvvZSHHnqIDRs2TOx35ZVX8uCDD/IP//AP/Mmf/Am+73Peeefx7W9/+5CmKcfjxS9+MZ/73Of42te+xtjYGJlMhiuuuIIvfOELh23cUXPttdfS1dVFX18ff/u3fzulYSqoj7L913/9F//+7/9OPp+nra2N6667jv/1v/7XEZuInAxvfvOb6ejo4CMf+Qh/+qd/ShAErFixgje96U1TxrxlyxY+9KEP8Y53vIOxsTGampo488wzuemmm+Z8zEIIIebO3/zN30y7fOfOnbzhDW8A4Ctf+Qof+9jHyOVyNDY2ctFFF/H9739/onnVbNx77720tLSwcePGadefc845XHrppXzpS1/iIx/5yCF1RI/WaaedxoYNG9i8eTO33nor6XR6yvrjfT9wor3sZS/j5z//OR/4wAd4+9vfjmVZdHZ28qpXvWpimzPPPJOnnnqKf/qnf+Lv/u7vGBoaor6+nrVr1x7SgFwIIcT8estb3sL69ev553/+Zz7ykY8wMDBAOBzmtNNO45ZbbuHP//zP521sn/70p7n00kv59Kc/zT333IPv+3R0dHD55Zezfv36Yz7uwbGA2267jaGhIT71qU/xH//xH6xatYr/+T//J3v27OH973//lH3/9V//lbe97W28/vWvp1wuc+WVV/Kzn/2M9vZ2nnzySf7pn/6Jj33sY+zZs4dUKsXKlSsnGpoeSTqd5o/+6I+4//77ufzyyw/5lPsll1zCk08+yd/8zd8wPDxMfX09L3rRi3jwwQcnaozPpfPOO48tW7bwD//wD7z3ve+lUCjQ1tbGS1/60on3RyfivghxOFowUz0DIYQQQgghhBBCCCGEEGKJk5roQgghhBBCCCGEEEIIIcQMJIguhBBCCCGEEEIIIYQQQsxAguhCCCGEEEIIIYQQQgghxAwkiC6EEEIIIYQQQgghhBBCzECC6EIIIYQQQgghhBBCCCHEDCSILoQQQgghhBBCCCGEEELMwJjvAZxsvu/T399PKpVC07T5Ho4QQggxK0EQUCgU6OjoQNeX3jNvmb+FEEIsNjJ3y9wthBBi8Znt/H3KB9H7+/vp6uqa72EIIYQQx6Svr4/Ozs75Hsack/lbCCHEYiVztxBCCLH4HGn+PuWD6KlUClA3oq6ubp5HI4QQQsxOPp+nq6trYh5bamT+FkIIsdjI3C1ztxBCiMVntvP3KR9Er32MrK6uTiZyIYQQi85S/Ti0zN9CCCEWK5m7Ze4WQgix+Bxp/l56hdqEEEIIIYQQQgghhBBCiFmSILoQQgghhBBCCCGEEEIIMQMJogshhBBCCCGEEEIIIYQQM5AguhBCCCGEEEIIIYQQQggxAwmiCyGEEEIIIYQQQgghhBAzkCC6EEIIIYQQQgghhBBCCDEDY74HIMSJ5gcBQ7kKlapLLGLQko6ha9p8D2vezMX9WEj3fKld71yMp3b8kuVQtl3iEYOYaaABlu0Rixg0piJs2ztOrmSTTpic0dmAoeuHHONEjXGm483Zvag6lKsucdMgEQ3P+78BcRi+D6NDUC6BVYZoHOIJaGwBfYZcAt+HoX3wwrNQrUIiAZEYlAqQqoe2TqjPwK5tUMhBKg2rzgDDmN15Qa2zKhCNHX4sx3vdx3qOw+1/vMcWQgghjsByLTb99mH25oaIG1Fa6hpwA59VjcvIJNPsGR8iW8qhAU2JNCsbl9GRbkbXDj8f+YHPvnyWsm0RDZtoaFScKnEzSmuqkcHCKGXbIm5Gaa/LTBxv8n61dcAhy450fiGEEIvXvAbR//Ef/5H3v//9U5a1trYyMDAAQBAEvP/97+czn/kMY2NjXHLJJXzyk5/krLPOmo/hikWgd7jAo9sG6csWsV0P0wjRlUly+bpWuptT8z28OTcX92Mh3fOldr1zMZ7a8Z/bM8a+8TJVx0PXNEK6RtjQaUhEcD2foZyF43kEQDik096Q4I/Wr+CS01pP+BhnOt6qlhQ7hgpzei8i4RDt9XFO72xYMr9nFtXc3d8LT2+GHc/B8D6wq2BGoLkdVp0OF2yAju5D9/n+V2HrU1AugutBEIAG6AaYYYjEQdPUcgIwwtDSDtdshPMuOfx5M23qPOUC2DaYJrR1TT+W473ugb5jO8fh9ofjO7YQQoh5sZjm708+8nW++vQPKVTL+AQTy3U0QnoITdOAAM/3AYgYJq3JRjasPI8bz7uWVU3Lpj3ujpG9PLh9CztH+xkp5Rgt5wAVhA+HwlRdm6hhEg4ZRAyTlY0dvHTteoCJ/aquTcQwSUeTAOSs4sSy2vYznV8IIcTiNu+Z6GeddRb//d//PfFzKBSa+P6jH/0od999N5/73Oc47bTT+OAHP8h1113Htm3bSKVO/UCFODq9wwU2bdlFrmLTXBclGo5hOS49AzmGcxU2rl+xJAJcNXNxPxbSPV9q1zsX46kdf994mdGihe8HhA2N0YJNEAQkomHKlku+4uB4HtFwiJZ0DDTozRb4958+x3C+wo7Bwgkb40zX/NtdIzz4u71k6qIsb06evHsxpu6F5/skoga24zOQK2N7/pL6PbMo5u7+XvjpJhgegNwo+B7EEuBUITsAjq2yqa/ZeCD4298LX/2MykD3PPADCNQf6ASA54IDWCNqWSSmAuO1ff/zXhgdhj07pj/vvl7o7YGQAWvOgrZlKtO9t+fQsRzvdRfz0NAMjZGjO8fh9u/bsf9e+Md2bCGEEPNqMczfn3zk69y35Vu4vkcwKYAO4BPg++6B8aOj6xq26zBQGOEnz/+SbGmc/2/DjYcEsneM7OXLT/2A8XKBmGEyXslTdixAw85n8YOAim1RF0tyfsc6okaYrYO72DbciwZ4vk9bqpFYOMpAYYSf9fwKNLiwYx0rGjqoOBZbB3exrzDCrRdeL4F0IYQ4Bc37Z40Mw6CtrW3iq7m5GVBPwv/lX/6Fv/3bv+U1r3kNZ599Np///Ocpl8vcf//98zxqsdD4QcCj2wbJVWyWZ5IkImFCukYiEmZ5JkmuYrN52yB+EBz5YKeAubgfC+meL7XrnYvx1I4/Xq7ieT6eH1AXC2M7PiFdZaITBIyVqtieRzoWRtM0ipYqcdJeH6NYdfivx3YyVqqekDHOdM1x08D1fUpVB8/ziZvGSboXNq7v4wUBDYkIcTNMOm7i+QGe5zNeri6Z3zMLfu72fZUtXcjtD4Z7qgxLLK5efU8FxAs5tZ3vq69f/QJ6t6sMcz20P9N8cpmeAFznwHLPVRnl0ZjKMK8U4Sf/BbmxQ8+bTKvSLo6tgujjWdB0ta69WwWta2M53usu5tUxY3F1HbM9x+H2b+uC/t3qq63r6I8thBBi3i30+dtyLb769A9xfW9WgYqAgLBuENJ1fAJs16Yn28eD27fgBwfmIz/weXD7FsbLBVY1djBYHMVyHZoTDTTH04yVi+StIsvSLXi+T+/4PhKRGKsaO3gh20dPto9VTR0kI3F0XWOwMEI4ZGCGDAaLo+iaRjISZ3XTMsbLBR7qeWLK+YUQQpwa5j2Ivn37djo6Oli5ciWvf/3r2bFDZTnt3LmTgYEB/uAP/mBi20gkwpVXXsnmzZtnPF61WiWfz0/5Eqe+oVyFvmyR5rro/o/3HaBpGs2pKL3ZIkO5yjyNcG7Nxf1YSPd8qV3vXIyndvxE1CBfcUiYYVw/oOr4hEM6phGibHu4vo/6QK1GOKRTdTxs10fTdJIRg9GShaFrJ2SMM11zqepSqDjUx03yFYdS9UCG0om8F8moQaHikIgY1AKrmqaC+Pn9y5fK75kTPXfDCZ6/R4dUuZFYQgV3owlVfgXUazSu6pvHEmq70SH1tf1ZcBwwTBUAr5Vr0bQD+9doqPVWRQXWdR1iSRgfA9c99LyeqzK4A1QJlGIeKqUDY2rIHBjL8V53Q/M0453FOQ63v1U+8LDBKh/9sYUQQsy7hf6396bfPkyhWsHQQswmJcEnwCcgtP/Btxf4VF2HZwd2sC+fndhuXz7LztF+2lKNFO0KY5UCSTOGpmnYvquOFAQ4vkvSjDFWLlColinaFXzfx/N9irZ6f1eolhmrFEhF4iTNOGMVtS2o94VtqUZ2jOydcn4hhBCnhnkNol9yySV84Qtf4Ec/+hGf/exnGRgYYMOGDYyMjEzUZmttbZ2yz+S6bdO56667SKfTE19dXV0n9RrEwlCputiuRzQ8fYWiqBnCdj0qk4Jrp7K5uB8L6Z4vteudi/HUjh/SdDzfJxTS8P0APwjQNdB19XPtL5yAQC0LgolM7HBIw/MDtd0JGONM1+y46o+bSDiE5/s43tTMnxN1L3Q0PN+f0jAVwAjtv0e6tiR+z5yMuRtO8PxtVVS9bl1XwXAjNHV9yFCZ4rquMsOtyoGvIFDLD/uJAm3i3/5EYLl23FqW+8HnncjQ3h+U9zwVbK8xowfGcrzXHYlMv/5I5zjc/pPH6jpHf2whhBDzajH87d2fH554Tznbz/UFQXAguSKAIPCpOFXKtjWxTdm2qLo2sXAUx3PxfA8jpN5P1jLGg0B9Hw6F8HwPx3NxPDX3aTDxfW3/cMjAmLRtTSwcwXadKecXQghxapjXIPr111/Pa1/7Ws455xyuvfZavve97wHw+c9/fmKbg7MXp0yS03jve99LLpeb+Orr6zs5gxcLSixiYBohLGf64JVlqyaDsci8twGYE3NxPxbSPV9q1zsX46kd3wt8QrqO56k/aHRNww/A99XPtUoXGiqormtqGwDHCwjpmtruBIxxpmsOGzohXWXBh3SdcGjq1Hai7oXKdNJxDypX4Xr775EfLInfMydj7oYTPH9HYyrb2/dVyRHXm7recyEUUuvDptq+9qVpavlhxxscqPKi6+qrdlw9pILpB5934uHL/oakoRAYk/6t2NaBsRzvdVer068/0jkOt//ksRrhoz+2EEKIebUY/vbuqGueeE95+HcNB2iaRlB78K2BpunEwhHiZnRim7gZJWKYVByLcMggpIdw9we+dU3ffxz1veN5hPQQ4ZBBeH+gPYCJ72v7O56LO2nbmopTxTTCU84vhBDi1DDv5VwmSyQSnHPOOWzfvp22tjaAQ558Dw0NHfKEfLJIJEJdXd2UL3Hqa0nH6MokGc5bB95E7RcEAcMFi+5MUjU9XALm4n4spHu+1K53LsZTO37JcqmLhSnZDoauEQnrOJ6P7XrEzRCGrqOqQwc4nsoGNw2dIPApVl0aE1FcPzghY5zpmhMRg1QszHjZpi4W3l9u5cTfi6LlkoqF95eLCSaOX7b336Oqu6R+z9SciLkbTvD83dii6nZXSpCsA6t0ILM8CFQ5kkRKrW/rUts3tsDasyAcBtdWQXBNYyLofXBmesD+0jAxFVT2fVUTvb5BBZwPPm/IUDXQNVS2d7JOlZOpjWkse2Asx3vdY8PTjHcW5zjc/tH4gQcG0fjRH1sIIcSCshD/9t547pWkIjHcwJtVEF1H2/9JQQ80jZCmEzHCnNW2iva6zMR27XUZVjZ2MFAYJWnGaIilKNoVgiDA1A11JE0jrBsU7QoN8dT+ci0xdF0layRN9f4uFYnTEEvtL/dSpiGmtgX1vnCgMMqqpmVTzi+EEOLUsKCC6NVqla1bt9Le3s7KlStpa2vjJz/5ycR627Z5+OGH2bBhwzyOUixEuqZx+bpW0jGT3dkiJcvB831KlsPubJF0zGTDutaJDNlT3Vzcj4V0z5fa9c7FeGrHr49HCIV0QppGvuJgGirj2vNVJm5jIoIZCpGrOBBAMmpQrrrsG6+QjIR57WUraUhETsgYZ7rmctXF0HXVaDSkU7IccuUq/aMltvWPUxcNn6B7YWLo6l6MlaqUqw65sq2WhXTq45El9XumZkHO3boOF2yAVFplfOshKIyroHlh/EC2eKpebVcLDl/0Yuheuz8b3dsfRJ8cTNZUgLy2PGRAPKWC8tkBVRP9utdCuuHQ8xZzEE+obG3PhfrM/sB7Cfb1qsajtbGAWpcdgD071etsGnbWrjtZp45ZKamyMTOd42j2H+iDZcuhY7n6/miPLYQQYkFZiPN31Ijyugv+EEMPMZu2nBoaju/i+T46GqZhsibTxUvXrp/IMAeVYf7Steupj6fYMdpPa7KRqBFmuDTGcGmchniSumiSvbkhDF2nu76dUrXCjtF+1mS6WJPpYsdIP8VqGd/3aU014XgutufSmmzED3yK1TIvjOylIZ7i6jUXTzm/EEKIU4MWHJweOIfe/e53c8MNN9Dd3c3Q0BAf/OAHefjhh/nd737H8uXL+chHPsJdd93Ffffdx9q1a/nwhz/Mz372M7Zt20YqlZrVOfL5POl0mlwuJ1npS0DvcIFHtw3Sly1iu6qEQ3cmyYZ1rXQ3z+7fzKlkLu7HQrrnS+1652I8teM/t2eMfeNlqo6HrmmEdA3T0KlPRHA9n6GcheOp0hVGSKejIcHG9Su45LTWEz7GmY63siXFUzuz/Hb3KIWKDUBdLMw5y5t4xYXdx30/prsXkXCI9vo4Z3Q2nPB/Awt1/pqLuRtO0PX398LTm2HHczC8D+wqmBFobodVp6ugb0f3oft8/6uw9Skol1Qt8GB/+RbdADMMkbgKpNeWhwxo6YBrXg3nXXL482ZUth/lgqohHjZVBvfksdT2H+hTWevmNNvM5roH+mY+x7HuD8d3bCGEOIUt1LkbFtff3p985Ot89ekfkq+WDqmNrqMR0nU0TVcZ6GhEjDCtqUYuX3E+rz3vGlY1LZv2uDtG9vLg9i3sHO1ntJRnpDyOBjQm6gmHDGzXIWKEMUNhTCPMqqZlXL3mYoCJ/WzXwTTC1EdTBATkrOLEstr2M51fCCHEwjTb+WteC7fu2bOHm2++mWw2S3NzM5deeimPP/44y5cvB+A973kPlUqFO++8k7GxMS655BJ+/OMfH9Uf4WJp6W5O0ZlJMpSrUKm6xCIGLenYkssMrZmL+7GQ7vlSu965GM/k45csh2LVoep4BAHEzBCJSJhENExjKsK2vePkSjbphMkZnQ0TDThP9BhnOt6ebBF7u09j0mRFc5JkNExI1xguWGzasouN61ccV5B7yr2oOpSrLnHTIBENL6nfM4tq7u7ohrZOGB1SAXGrrEqRxBOq7Mh0WdMd3XD7u2BoH7zwrKoPnkhAJAalgspeb+tUmeQ7n1MBZ9OE1WdBS/vszgtqnVVR5WAmj6W/F366CYp5aGiGxogaQ2+P2ueajUcOVk8+/3TnOJr7Nt3+x3NsIYQQ82Ixzd9vu+J/cNXaC/jgj/6D0UqOukiC5mQ9tqeyzpuT9VzcdRZGyEADmhJpVjYuoyPdfNgM8FVNy1jR+Gr25bOUbYto2ERDo+JUiZtRWlONDBZGKdsWcTNKe11m4niT96utAw5ZJhnoQghx6prXTPS5sJCzAYQQYjGZLgO8K5Pk8jnIwveD4LBBeD8I+OqjL9AzkGN5JjmlCVYQBOzOFlnbluamy1cvmmD3Up+/Fvz117K19/VCsaCCyG2dsOE66FxxbMf0ffjB11TAvL17anPTIFDn6l4D198kQWshhFiAFvzcdZKdqOvvyfbxsYe+wK7Rfgw9hK7pNMRSrGtZQUMsxQsjezmzbSW3rX+VBK2FEEIct0WRiS6EEGJx6B0usGnLLnIVm+a6KNFwDMtx6RnIMZyrHHeW95HOfaTg/VCuQl+2SHNddEoAHUDTNJpTUXqzRYZyFdrq49OdRojZq2WLDw9A1VINRB0H9uyA538HN9yqyrocrdEhVSaloXlqAB3Uzw0ZtX506EBZGCGEEOIUsmNkL//+y030DPcBUHUdPN9jpJyjP5/loq4zaEs1smNkL/vyWZalpaG1EEKIuSGPbYUQQhyWHwQ8um2QXMVmeSapGnjqGolImOWZJLmKzeZtg/gn4YNNteB9z0COuniYzqYkdfEwPQM5Nm3ZRe9wAYBK1cV2PaLh6Z8NR80QtutRqbonfIxiifF9lYE+PKBKrpQLYMZUM9G6Rhgfge98GfbuOvpjWxVVAz0SmX69GVV1yK3KcV2CEEIIsRD5gc+D27ewd3yIqmvjeC5hPUTcjJIIRynZFX7Vt5WKY2O7DmXbmu8hCyGEWEIkiC6EEOKwjibL+0Q6muB9LGJgGiEsZ/oguWWrDPZYRD6AJY7T6JAqq1K1wKlCMg3hMGi6qo1e3wT5Mdj83yrgfjSiMXWManX69balGnlGY8d/HUIIIcQCsy+fZcfIXhzXxSfANAxCeggNjZAeImHGKDsWvx96gXDIIG5G53vIQgghlhAJogshhDis+cryPprgfUs6RlcmyXDe4uBWH0EQMFyw6M4kaUlL8FEcJ6uiaqBbJYgmDi27YoTV1779ZVeORmMLtHXB2LCqgT5ZEMBYVq1vlI+uCyGEOPWUbYucVcT2HJJmDMf3pryvC+k6OhrDxXEyyfqJ5p5CCCHEXJAguhBCiMOaryzvowne65rG5etaScdMdmeLlCwHz/cpWQ67s0XSMZMN61oXTVNRsYBFY6qpp+OAETp0veeqbPHAP/qyK7oOF2yAZJ3Kdq+UwPPU675elfV+wQZpKiqEEOKUFDej6JqO4zs0xtMYegjLs/H2B9Md18UPAgw9xAUd66SpqBBCiDkls44QQojDmq8s76MN3nc3p9i4fgVr2tLkKw57RkrkKw5r29IntfGpWGIaW6CtE1wHDv63GQRglVWgPZE6trIrHd1wzUboXgOlAgztVa/da+CaV6v1QgghxCmovS7DysYObM/F0HVako3Ew1Fc38Nyq1ieTSoa57Tm5ZzWsny+hyuEEGKJkeKwQgghDquW5T2cq7A7W6Q5FSVqhrBsj+GCddKyvGvB+56BHPGMMaWkSy14v7YtPSV4392cojOTZChXoVJ1iUUMWtIxyUAXJ46uw4br4PnfwXhW1UA3wioD3SpDOAKRGLR3H3vZlY5uFagfHVLZ7NGYOpZkoAshhDiF6ZrOq86+kif3bGWwMEpLspHWZANlu0rRrhANh2lONHL+stOklIsQQog5J3+NCSGEOKL5yPI+1hItuqbRVh9nZWsdbfVxCaCLE69zBdxw64EmovkxsKsQT6pSLM3tx192Rdch0wadK9WrBNCFEEIsAWsyXdxx2WtpSTWSLY8zUsrhBj6ZZD0tySa6Glq5es3FUspFCCHEnJNMdCGEELMyH1neteD9o9sG6csWyRYsTCPE2rY0G9a1SokWMX/OuwQyrfDoT2Bgj6qBnkipDPQLNkjZFSGEEOIYXbn6Qpalm/nWMw+za7QfP/BJR5OsznRy9ZqLWdW0bL6HKIQQYgmSILoQQixhfhAcVVC8luU9l6REi1iwlq2A19wGO7ZCIQepNKw6Awx5eyWEEEIcjzWZLv7yJa/nt/3bGS3naYzXcW7HWgxd5lghhBDzQ2YgIYRYonqHCxMZ3rarmnR2ZZJcvgAzvOcjeC/EEfX3wtObYaAPbBtME7Y/K5noQgghxHHaMbKXB7dvYedoP1XXJmKYPLXnOV66dr1kogshhJgXEkQXQoglqHe4wKYtu8hVbJrrokTDMSzHpWcgx3CuctLqnAtxyujvhZ9ugmIeGpqhMQLVKvT2qIag12yUQLoQQghxDHaM7OXLT/2A8XKBtlQjsXCUimOxdXAX+woj3Hrh9RJIF0IIMeekG4cQQiwxfhDw6LZBchWb5ZkkiUiYkK6RiIRZnkmSq9hs3jaIHwTzPVQhFibfVxnoxbyqgR6Lgx5Sr+3davnTm9V2QgghhJg1P/B5cPsWxssFVjctIxmJE9J1kpE4q5uWMV4u8FDPE/iBzLFCCCHmlgTRhRBiiRkYL/N8/zimoVOqugSTguWaptGcitKbLTKUq8zjKIWYZ74P2QHYs1O9Tg6Ijw6pEi4NzXBwbX5Ng4aMWj86NLdjFkIIIRa5ffksO0f7aU02UKiWGSnlyFslgiBA0zTaUo3sGNnLvnx2vocqhBBiiZFyLkIIsYT0Dhf47q92s31fjmg4hBHSqYubdGeSpOMmAFEzRLZgUam68zxaIebJdLXO27oO1Dq3Kmp5Y2T6/c0ojI+o7YQQQggxa2XbYqSUYyA/Qs4q4vkeIT1EQyzFysYO6qIJhopjlG1rvocqhBBiiZEguhBCLBG1OuiDuTLRcIh4JISGzmjRolx1OX1ZPem4iWWrJqOxiEwRYgmaTa3zaEwF1qtVVcLlYLYFYVNtJ4QQQohZy5bG2ZsfIggC6qMpjJCB67kMl8Yp2mVWN3ZiGmHiZnS+hyqEEGKJkXIuQgixBEyug35ae5rGVJSy7RE2NNIxE8tx6csW8X2f4YJFdyZJS1oCgGKJmW2t8/qMykwfG4aDewcEAYxl1frGlvm5DiGEEGIR8gOfZwZ6COsGIS2EGTLQNQ3TCNMQS1Fxqvx+aCcrGztor8vM93CFEEIsMRJEF0KIJWAoV6EvW6S5Loqu63Q3JYgaIcbLNq7nEwsbjBQsnt+XIx0z2bCuFX1SrWc/CBgYL7NzMM/AeFmajopT02xrnY9n4bxLwTBgx1a1n+tCpQT7eiGZVqVfdHmbJYQQQszWvnyWXaP7OLN1FbFwhKHiGHmriOVUcTwH1/NwPJez29agazLHCiGEmFvyWX0hhFgCKlUX2/WIhlV2eToR4fRl9fSOlMiXbVzPo+r4LGtM8sqLuuluTk3s2ztc4NFtg/Rli9iuKvXSlUly+brWKdsJsejNttZ53w5V9sWyYHwUhvaBGYHmdlh1+oHa6UIIIYSYtbJtUXVt0tEUhh6i7FiMVvJoQMQwaavLkI4maUqk53uoQgghliAJogshxBIQixiYRgjLcUlEwoAKpJ8dNylVXfJlG8vx+KNLVtDekJjYr1ZHPVexaa6LEg3HsByXnoEcw7kKG9evkEC6OHXMpta548CTP1eZ583tsGw55MZgdBiiUTj/UgmgCyGEEMcgbkZxPJdf92/D83066jL4QYDtOViuTdWxMROG1EMXQggxL+QzUEIIsQS0pGN0ZZIM5y2CSaVYNE0jETGwPZ91HfW01h8IHE6uo748kyQRCRPSNRKRMMszSXIVm83bBuestIuUlBEnXWPL4Wudjw6DY6tAeq1mesiAxmaVgV4qws9/AEP9qr66EEIIIWatNdWI5drkK0UaoklMI4ymaYRDBnWRBDmrSNV1aE01zvdQhRBCLEGSiS6EEEuArmlcvq6V4VyF3dkizakoUTOEZXsMF6xp66BPrqOuHVQfWtM0mlNRerNFhnIV2uqnydo9gaSkjJgTuq5KsYwOqdrmDRlVwsW2VLPQsAmep4Ltk/8/Ucjtr5U+Cv27VbB9xWlS1kUIIYQ4CoOFUSKGSTqWZKg0huO52K6DF/h4gU/UMHF9l8HCKMvS0rxbCCHE3JJMdCGEWCK6m1NsXL+CNW1p8hWHPSMl8hWHtW3pacuyHKijPv3z1qgZwnY9KlX3pI67VlKmZyBHXTxMZ1OSuniYnoEcm7bsone4cFLPL5aYjm64ZiN0r4FSAYb2qtfuNfCiF4MRhsikmumFHOx8DnKj+8vBRCEShd4e+OkmVTtdCCGEEEdUti3MkMHKxk6qrk3RruAFPiE9RNKMETFM+vNZnh+SuVUIIcTck0x0IYRYQrqbU3RmkgzlKlSqLrGIQUs6NiUDvWa6OuqTWbbKCI9FTt5UcnBJmVpGfCISJp4x2J0tsnnbIJ2Z5LTXIMQx6eiGtk6VkW5VVHC8sUX9/NSjB2qmB4HKQLerkEyD66jyLokUxBIqm/3pzepYuuQtCCGEEIcTN6OYoTB7x4dImHFak434BOiajhkK47gOw+Vxft3/HFeuuRBdk7lVCCHE3JFZRwghlhhd02irj7OytY62+viMweeZ6qgDBEHAcMGiO5OkJR07aWM9mpIyQpxQug6ZNuhcqV51/dCa6ZUSFPMQ3d+M1ypDqk4F0DVNlYMZ6FPBdyGEEEIcVntdhqZEPQPFEZV5Ho4QC0eJGCYARceiLdXEcHGcffnsPI9WCCHEUiNBdCGEWITmoslmrY56OmayO1ukZDl4vk/JctidLU5bR/1EWyglZcQS5fuQHYA9O9UrqDrnyTqVZV4sgOtC4EMxp0q5tHUdqJduRlUjUkse8gghhBBHoms6Fy5bh6GHKNoVCtUypap6HavkiYVN1mS6cDyXsm3N93CFEEIsMVLORQghFpm5bLJZq6NeO1+2YGEaIda2pdkwB009F0JJGbFE9e8vxTLQB7YNpqkC5BdsUDXTn94Mu55XpVwA6hvV+lT6wDFsSzUjjZ68T2sIIYQQp5LTWpbTVpdhz9ggI6VxVRNd00nHkpzevJyoYWIZNnEzOt9DFUIIscRI1EEIIRaRWpPNXMWmuS5KNBzDclx6BnIM5yrTNgg9Xt3NKTqaEmzdM0auZJNOmJzR2YAxBzWeayVlegZyxDPGlJIutZIya9vSJ7WkjFiC+ntVU9BiHhqaoTGi6qD39sDIoGowes7FsOZMePIXMLwPlq+dWvc8CGAsqxqSNrbM26UIIYQQi0nFqWI5VVzfoznZQECAhoYf+OwaG2DcKnFx95m012Xme6hCCCGWGAmiCyHEIjFdk80gCAgCqIuFGcyVefS5gRPeZHO6zPdnesdOSub7wWolZYZzFXZnizSnokTNEJbtMVyw5qSkjFhifF9lmRfz0N6tllVKqmmoEYbtz8LO56G5HSIRiKcgGlcZ6w0ZVcLFtlQAPZlWmevSVFQIIYQ4Ij/w+VnPk4T0EACDxVF0NDRNx9B1xsoFdE3jytUXSVNRIYQQc06C6EIIsUgc3GQzV7bpzRbJl2083ycIYLQ4wLpl9Vy4qvmEnHM+Mt8PNt8lZcQSMzq0PyDerALp+/rUa7UC5SJoQCwJ6XoIhVWTUU2H+gyUCjA+okq4dK9RAfSO7vm+IiGEEGJR2JfP8rt9PZTsCtGwSUBAybZw/SpBEBDSQoxbRYaLY6zJdM33cIUQQiwxEkQXQohF4kCTzRi5ss1ze8dVrXAzTChk4Lo+2aLF95/qJZOKHndwebrMd4BEJEw8Y7A7W2TztsETnvk+ne7mFJ2ZJEO5CpWqSyxi0JKOSQa6OPGsiqqBHrZg93ZV8zwSV9noAGgqmF7IQ3sXRLtVk9FUGq55tcpCj8ZUCRfJQBdCCCFmrVgts2d8ENf3qYsksBwbM2QQMyKEdJ2qazNeKfBfv/0prakmVjUtm+8hCyGEWELkrzshhFgkak02K7ZDb7aI5bikYyZhQ1fBZA2i4RAjRYsf/aYP1/eP63wHZ75PpmkazakovdkiQ7nKcZ1ntnRNo60+zsrWOtrq4xJAFydHNAbhMOzdrQLoybTKPndsMCOqpIvvqwz0IABNU2VcBveArkHnSsi0zV8A3fchOwB7dqrX4/w9IIQQQsyVkl2h4lSJhMKMW0XcwCMWjmCEQqChyrwEAWPlPA/1PIEfyBwnhBBi7kgmuhBCLBK1JpvP9I6QL1VJmOGJ4LbluAzlKuiahh8EPLJ1gCDQ+MPzO485I31y5vt0omaIbMGiUnWP+ZqEWHAaW6CuAZ7/HdQ1qiC570Pgg2ao2ujRuMpYr5QgnlR10MdH1LL51N+r6rkP9KlsetOEti4pKyOEEGJRSJgxouHIRDBdQ9tfzsUlCAL8ICCkh4iHo+wY2cu+fJZlaWneLYQQYm5IJroQQiwStSabMdMgbzkEgU8QBBQtm/7RMq4XUJ8waUhE0HWNHYM5Nm3ZRe9w4ZjOV8t8t5zpg+SWrZqMxiJz8zzWDwIGxsvsHMwzMF7GD4I5Oa9YYnQd1p4FegiskspA14AAqFoQCkE8ob4v5lU2um2pOujR6R84zYn+XvjpJujtgUQdtC1Tr709anl/7/yNTQghhJiFZCROZ30ruq5RcSzKdgXHcwgC9T5Q09Sz7b35YUbLecq2Nd9DFkIIsYRIJroQQiwi3c0pXn5BN3tHS5RtD2yPguVg6Bot6RhR08B2PSJGiO5MkpFi9Zjrltcy33sGcsQzxpSSLkEQMFywWNuWpiV98gOHvcOFicaitquC912ZJJdLY1FxMnStgmUroJhTwXLPhZAOrg/okBtTy3Zth/FRFVhfd67KYp8Pvq8y0It5aO9WEQaAWPxAzfanN0Nbp9RpF0IIsWC112U4t30NuUqR4dI4jqcSOYIgQNM0tEAjEgpRtCuES+PEwpF5HrEQQoilRP6SEkKIReb8VRlefEY7rfUxVrfVkYyGaW+IEzUNgiCgbLuk4ybJaPi46pbXMt/TMZPd2SIly8HzfUqWw+5skXTMZMO61pNem7x3uMCmLbvoGchRFw/T2ZSkLh6mZ+D4Mu2FmFFjC6w6HdKNcNo5cNq5sHIdaLoq4eJ7Khs9HFa10Meyqhb6fAWoR4dUCZeG5gMB9JpazfaBPrWdEEIIsUDpms5L166nra4JNZtp6GiEQ2EMPYQRChEQUKyWqXoOAfKpRCGEEHNHguhCCLHI6JrGFae30ZqOky/b+L6PrmvYrkeuYhMNG3RlkmiaRtQMYbsepapzTKVQuptTbFy/gjVtafIVhz0jJfIVh7VtaTauX3HSs8D9IODRbYPkKjbLM0kSkTAhXSMRCbM8kyRXsdm8bVBKu4gTS9dVHfFkHQz1Q6UM+XHVWNQ01Xp9/4f5WpepIPWenfPXxNOqqBrokRky8syoKksz3zXbhRBCiCNY1bSMP1h3KWHdAAJ8IAh8DN0gHo5i6AY6Gp7vSzkXIYQQc0rKuQghxCJUC27/6Nd99I+VGS/bRIwQTckoXZkk6bgJqLrljuvz09/2M16qHlMplO7mFJ2ZJEO5CpWqSyxi0JKOnfQMdIChXIW+bJHmuuiUcjIAmqZNybRvq4+f9PGIJSYcgdwo9O2ESlEF0ZvbVeA8EgPDgFgCrPKBTO9M29yPMxpTwf1qVZVwOdhCqNkuhBBCzFLFruITYBphPN8nCHy8wMPzQyQiMcxQGMdzKNnycFgIIcTckSC6EEIsUt3NKW675nQCVBPR7kySZDQ8EWwOgoDdw0VKVYdQaH/N9HAMy3HpGcgxnKvMOptc17R5CVJXqi626xENTx/8i5ohsgWLSnX65qdCHJNak85iXpVyyY/CC1tVs1HPhWgcUukD25tRGB+Zv0zvxhZo61JNRKPdU0u6BIEqN9O9Zv5qtgshhBCztGNkLw/1PInvq+zzlGni+R6256LrGulIAsu1iYWjJEx5OCyEEGLuSDkXIYRYxAxd5w/P76SjIcFIsUq56k7ULd+1P4CeiIZZ0ZxalKVQYhED0whhOdMHyS1bZdbHIvJMWJwgBzfpjCegrgFiSUimVVmUgT4VnK6Z70zvyeVn9vWquu2ep1739apxX7BBmooKIYRY0PzA58HtW6g4VTKJesJ6CNt3CekhEmYUz/cZKI5ghEIsq28hGZFPIQohhJg78teUEEIscjPVLW9viNGQiLC8OXnEUigLVUs6RlcmyXDeIjgo2B8EAcMFi65MEj8IjrreuxCACppnB1RN8+yA+jq4SWcsoQLU1bIq41LMqwA1HMj0buua30zvjm64ZqPKOC8VYGiveu1eA9e8Wq0XQgghFrB9+Sw7R/tZ0dBGa6qJmBklZkSoeg4l2yIgQEMjGYlzXsda2usy8z1kIYQQS4ik7gkhxClgurrlJcvhgUd6iIan/1W/GEqh6JrG5etaGc5V2J0t0pyKEjVDWLbHcMEipGmMl6p86eHtx1TvXSxx/b0q63ygTzXmNE0VMM+NQ2Pzge00Ddq7wCqp+ue+D3ZVLR/LLpxM745uaOtUtdmtisqMb2yZ/3EJIYQQs1C2LaquTTyVYWVjByPlHCOlcXzfJwhUAN1ybGLhCFevuRhdk/lNCCHE3JEguhBCHIYfBPPSUPNYHFy3fGC8PFEKJREJH7L9YimFUsu0f3TbIH3ZItmChWmEaE5FGSlUyRYsmuuix1zvXSxRk+ueNzRDY0Q15hzog5EBSNdPbRKaSsPK06HvBciNqRroyTqV6X3BhukzvX1/7gPauj4/zU2FEEKI4xQ3o0QMk4pj7V8SADqh/VOnH/igBViOzWBhhBWN7RJIF0IIMWcWduRECCHmUe9wYSJwuxiznGulUHoGcsQzxpSSLrVSKGvb0rSkF35TpoMz7aNmiIee6We4YLE8c6BcTSISJp4x2J0tsnnbIJ2Z5IJ96CHm0cF1zyfKtsRh+VoYHYbdPYcGvZN1kG6E1WfCpS9V9dJnCoxPl+Xe1jVzwF0IIYRY4trrVAb67wd2kq8W8QNY2diO47uU7SrZ0hiRkMme8UH++edf5rq1l3DNaZewqmnZfA9dCCHEEiCPbYUQYhq9wwU2bdlFz0COuniYzqYkdfEwPQM5Nm3ZRe9wYb6HeES1UijpmMnubJGS5Uw0Hd2dLZKOmWxY17pogsy1TPuVrXVomsaekRLNddFFW+9dzKPRoUPrntfousoudx3Yvf3QJp2perjiZdC9WmV8zxRA/+km6O2BRB20LVOvvT1qeX/vHFykEEIIsbjoms5L167HDIfpGx8kEgqjaWC7DsPFUQICmpMNtCQbsR2Hp/c+z5ef+gE7RvbO99CFEEIsARJEF0KIg/hBwKPbBslVbJZnkiQiYUK6RiISZnkmSa5is3nb4KJoYDlT09G1belFXe6kUnWxXe+w9d5t11vQ9d7FPLIqKjs8Epl+fWMzNLdDy7Kjb9J5cJZ7LA56SL22d6vlT29W2wkhhBBiilVNy3jZaZeRNGO4vsd4pchIOYcRCtFV30oqmiBsqE9Yttc1MV4u8FDPE6rUixBCCHESSTkXIYQ4yFCuQl+2OKss58k1yBeq6ZqOLuTa7rMRixinRL13MU+iMVVepVpVwe2D2RbU1cO1G0HXjq6m+eGy3DUNGjJq/eiQ1C4XQgghpnFaSzfrWlYQDhnYnsPvB3aSisQwDRMA1/MI6SHMUJi2VCM7RvayL59lWbplnkcuhBDiVCaZ6EIIcZBTMct5cimUtvr4og6gw4F678N5i+CgTwTU6r13Z5KLot67mAeNLao++dgwHPyJkiCAsaxan2lVge7OlTOXbjnYkbLczSg4ttpOCCGEEIdor8uwqmkZxWqFeDiKrmmEQyppIggCinaFhliKVCROLBzBdh3KtnWEowohhBDHR4LoQghxkMlZztORLOf5d6rVexdzTNdVg89knapzfnDd82RarZ9N0Pxgk7Pcp2NbEDbVdkIIIYQ4RK02en08xb5CFj8IqLoOtuswVikQC5usbOxA0zQqThXTCBM3o/M9bCGEEKc4CaILIcRBJMt5cThV672LOdLRDddsVHXOj7bu+eHMNsu9UT5yLoQQQsxkVdMybr3wei5Yto6IEWa4OIblVmlO1HNO2xoa4nUEQcBAYZRVTctor8vM95CFEEKc4iSNUgghDlLLch7OVdidLdKcihI1Q1i2x3DBkiznBeRUrPcu5lBHN7R1qvrkR1P3/HBqWe6jQyqrvSGjSrjYlgqgH0+WuxBCCLGErGpaxorGjZzTtpb//O1PKdsWKxraiJtRitUyA4VRGuIprl5zMbom86oQQoiTa8HMNHfddReapvGOd7xjYlkQBPzjP/4jHR0dxGIxrrrqKp599tn5G6QQYslY6lnOfhAwMF5m52CegfEy/sEZtQvIqVbvfbFZ9PO3rh993fMjOVlZ7kfL9yE7AHt2qlffn5vzCiGEWPAW+vztBz57c0O8kN1DV0Mr/9+G13Jh5zpy1RK7xwYYt4qc2baSWy68nlVNy+ZljEIIIZaWBZGJ/sQTT/CZz3yGc889d8ryj370o9x999187nOf47TTTuODH/wg1113Hdu2bSOVOrUDWEKI+bdUs5x7hws8um2QvmwR21X137sySS5f13rKPzwQR0fm78M4GVnuR6O/F57eDAN9qtGpaaoyMhdsmLsgvhBCiAVpoc/fO0b28uD2Lewc7afq2kQMVQP9qjUv4vpwhLJtETejtNdlJANdCCHEnJn3GadYLHLrrbfy2c9+loaGhonlQRDwL//yL/zt3/4tr3nNazj77LP5/Oc/T7lc5v7775/HEQshlpKlluXcO1xg05Zd9AzkqIuH6WxKUhcP0zOQY9OWXfQOF+Z7iGKBkPl7Fk5Glvts9PfCTzdBbw8k6qBtmXrt7VHL+3vnZhxCCCEWnIU+f+8Y2cuXn/oBWwd3UR9NsqKhg/pokq2Du3jg6R9RdR3WNnezLN0iAXQhhBBzat5nnbe97W284hWv4Nprr52yfOfOnQwMDPAHf/AHE8sikQhXXnklmzdvnvF41WqVfD4/5UsIIcSR+UHAo9sGyVVslmeSJCJhQrpGIhJmeSZJrmKzedvggi7tIuaOzN8LlO+rDPRiHtq7IRYHPaRe27vV8qc3S2kXIYRYok7k/H2i524/8Hlw+xbGywVWNy0jGYkT0nWSkTirm5YxXi7wUM8T+IHMYUIIIebevAbRv/KVr/DUU09x1113HbJuYGAAgNbW1inLW1tbJ9ZN56677iKdTk98dXV1ndhBCyHEKWooV6EvW6S5Lop2UMa9pmk0p6L0ZosM5SrzNEKxUMj8vYCNDqkSLg3NcPAnZzRNNTod6FPbCSGEWFJO9Px9oufuffksO0f7aUs1TvtetC3VyI6RvezLZ4/rPEIIIcSxmLcgel9fH3/5l3/Jl770JaLR6IzbHTx5BkFwyLLJ3vve95LL5Sa++vr6TtiYhRDiVFaputiuRzQ8fbuMqBnCdj0qVXeORyYWEpm/FziromqgRyLTrzej4NhqOyGEEEvGyZi/T/TcXbYtqq5NLDz9+GLhCLbrULat4zqPEEIIcSzmrbHor371K4aGhrjooosmlnmex89//nP+7d/+jW3btgHqiXh7e/vENkNDQ4c8HZ8sEokQmekPRyGEEDOKRQxMI4TluCQi4UPWW7ZqMhqLLIie1GKeyPy9wEVjqolotapKuBzMtiBsqu2EEEIsGSdj/j7Rc3fcjBIxTCqORTJy6BxWcaqYRpi4OfNDACGEEOJkmbdM9GuuuYbf/e53/PrXv574etGLXsStt97Kr3/9a1atWkVbWxs/+clPJvaxbZuHH36YDRs2zNewhRDilNWSjtGVSTKctwgOqnseBAHDBYvuTJKW9PEF3/wgYGC8zM7BPAPjZamxvsjI/H0Yvg/ZAdizU73OR93xxhZo64KxYTj4/1tBAGNZtb6xZe7HJoQQYt4shvm7vS7DysYOBgqj+IFPvlpipJwjXy3hBz4DhVFWNS2jvS4zJ+MRQgghJpu3dMJUKsXZZ589ZVkikaCpqWli+Tve8Q4+/OEPs3btWtauXcuHP/xh4vE4t9xyy3wMWQghTmm6pnH5ulaGcxV2Z4s0p6JEzRCW7TFcsEjHTDasa0U/TEmOI+kdLvDotkH6skVsV2W2d2WSXL6ule7m1Am8GnGyyPw9g/5e1bBzoE+VUzFNFay+YAN0dM/dOHRdnXN0CPb1qhroZlRloI9lIZlW6/V57y0vhBBiDi2G+VvXdF66dj3PD/fy0+1P4Pk+GhAAIV1nTaaLq9dcjK7JHCaEEGLuLejP5L/nPe+hUqlw5513MjY2xiWXXMKPf/xjUikJtAghxMnQ3Zxi4/oVE4HubMHCNEKsbUuz4TgD3b3DBTZt2UWuYtNcFyUajmE5Lj0DOYZzFTauXyGB9FPEkpu/+3vhp5ugmFcNPRsjqpxKb48KZl+zcW4D6R3d6py1oP74iCrh0r1m7oP6QgghFo2FMn/XPkel7f8fLZi6XAghhJgPWnDwZ/ZPMfl8nnQ6TS6Xo66ubr6HI4QQi4IfBAzlKlSqLrGIQUs6dlwZ6H4Q8NVHX6BnIMfyTHJKg6ogCNidLbK2Lc1Nl68+rvOcSpb6/LVort/34QdfUwHz9m6Y/O83CFQ2ePcauP6muc/+9n0VxLcqqgZ6Y4tkoAshxEm0aOauk+R4r98PfP7jl99i6+AuVjV2ULQrOJ5LOGSQNGPsGO3nzLaV3Lb+VZKNLoQQ4oSZ7fy1oDPRhRBCzA9d02irn6Yp4TEaylXoyxZprotOCaADaJpGcypKb7bIUK5yQs8rxEk3OqSyvRuapwbQQf3ckFHrR4cg0za3Y9P1uT+nEEIIcYz25bPsHO2nLdWIruvURRNT1relGtkxspd9+SzL0tLbQwghxNySx7dCCHESSRNNpVJ1sV2PaHj6Z7dRM4TtelSq7hyPTIjjZFVUDfRIZPr1ZhQcG8ql+W86KoQQQixgZdui6trEwlGCICBvlRgp5chbJYIgIBaOYLsOZdua76EKIYRYgiQTXQghThJponlALGJgGiEsxyURCR+y3rLV/YlFZFoSi0w0ppqIVqsQm+ZTFLYFjgOPPwiF8fltOiqEEEIsYHEzSsQwGchnGSyOMlYp4PkeIT1EQyxFa7IR0wgTN6PzPVQhhBBLkGSiCyHESVBrotkzkKMuHqazKUldPEzPQI5NW3bRO1yY7yHOqUxdlPpEhF1DBQoVm8ntOIIgYLhg0Z1J0pKOzeMohTiI7x85e7yxRQXEx4ZVDfTJgkA1Hc2Nqv0TddC2TL329qhmpP29c3IpQgghxELXXpchHU3yVP82hktjRA2TumgSHY29uSG27Pk96WiC9rrMfA9VCCHEEiQpf0IIcYL5QcCj2wbJVewpTTQTkTDxjMHubJHN2wbpzCSXRBPNWkb+3pEi+8bK7Bkp0VwXZUVLiogRYrhgkY6ZbFjXuiTuh1gk+nvh6c2qnvnhssd1XS0bHVJNRBsyqoSLbcHosCrjEk9Cx/IDNdNjcYh2q+2f3gxtndLwUwghhKgJ1HNoy7Up2mUqtoXtuQRBwDP7drBjZC9rMl3zPUohhBBLjATRhRBilvwgYChXoVJ1iUUMWtKxaYO+tSaamVSEUtXF8XzCIZ1ExFhyTTRrGfm5ik17Y5ymZIQdwwWG8xajxSormlOc0dnAhiVY4kYsYP29Kku8mFcNQxsjqlxLbw+MDMJFL4Z0gyrl0tiigurXbDwQdB8fgbCpmnp6HjS3HwigBwFUSuC6EI2rQPp8NB0VQgghFph9+Sw5q8iFnaezY2QPO0f78XwPIxSiLpIgFo4wWBzh33+5iT+79DWsalo230MWQgixhEgQXQghZuFo6ptXqi7jpSrD+QqFioPn+4R0nbq4SXcmSTJqkC1Yp3wTzeky8hORMBcmIxQth75skc5Mghs3rMKQLFyxUPi+CoYX89DePTV73EnD9mdg5zZo6QAzMjU7va1TBcStigqwl0vwva8caDpayKkgezGvguu6roLqfTskiC6EEGLJqzUWJdDoGx9Q3wN+4FPSKsTNKDEjwlg5x0M9T7CisR1dk/eQQggh5oYE0YUQ4gh2DeX5yiMvMF6u0pyOsqwuQdX16BnIMZyrsHH9iimB9LFSlYHxMkEAdTGTUMjA8wJGixblqkt3JrEkmmjWMvKb66ITJW0ANE0jFTNZ3pxirGiTzVunfEa+WERGh1Sgu6H5QAAdVAB81zZwHRVor2uAkKGy00eHVCZ6R/fUYHh24EDTUdeBnc+BXYVIHAwfKhWwyvDEw9DaKU1GhRBCLGlxM8p4pcDWwV1UHIuQFpr41GfFqbInN0QmkaY11cSOkb3sy2dZlm6Z51ELIYRYKuSxrRBCHMau4QKf+vFWnukbZSRvsb0/z9a947hewPJMklzFZvO2Qfz9DQX9IOC5veMYuo6uQ9jQ0DWNsKGTjplYtkvPQJ6upsQp30SzUnWxXY9oePqHBVEzhO16p3xGvlhkrIqqgV7LHgeVLb6vTwXAU/UquO77Kju9vVtllj+9+dDGo7Wmo7V66XZVZa8XxmFkSJV98X3o2wkPf3/6xqVCCCHEEtGcrGcgP4LlVAmCAC/wcHwXx3chANd3KVYrNMXqsF2Hsm3N95CFEEIsIRJEF0KIGfQOF/jKIz3sGSlSFw+TiptEjBCjRYvn9o6TrzhT6puDyr7eM1JibXsdsbDBeNnGcT2CIMD1fFzfx3V91nXUn/JNNGMRA9MIYTnTB8kt21sSGflikYnGDmSP11RKKlAeTYDvQSgExv5/t5qmmokO9Klg+WS1pqPhMAzvgwAYG1HH8zyIRKGuHjwXnnkCnvv1HF2kEEIIsfA8s+8FSk4FDQhQCSq6pqGh4QU+BGB7Dn25IUwjTNyMzu+AhRBCLCkSRBdCiGlM1PMuVYmGdWJhY2pGuePSly0SCetTsqlr2dfN6TinL6unMRml6vrkyjbFqksiEiYZDVO0HQbGyxMZ7KeilnSMrkyS4bxFcNB1BkHAcMGiO5M85TPyxSLT2AKty1RQPDcG5SI4zv7gua7KryTrIJY4sI8ZBcdWWewH6+iGF70EIjEo56FqgR5S+zdkIJFS2e1VC37zy7nJRvd9VWpmz071KhnwQgghFoCRUo6qY2MaYQzdwA8CXN/DD3xCmo6uabiex2B+hFVNy2ivy8z3kIUQQiwhkv4nhBDTmKjnnY4xVrJxfZ9wKASomt5x0yBXthktVqdkU0/Ovk4nIpwdNxkYL7NnpMR4ySZXquJ4Pp97cBtdTUlO72yYtjnpqUDXNC5f18pwrsLubJHmVJSoGcKyPYYLFumYyYZ1rad8Rr5YZAb2QCGvMsf37IRofH9TURvyYxBLqhItk//d2haETZXFPp2uVSowv9eBVIMq6WKEDxzD99R5RodVNvvJbDLa36tKzwz0qbI1pjm1OaoQQggxT4IgwA8CwqEQYUJ4voePykoPAo+JlAwNrl5zsTQVFUIIMadk1hFCHBU/CBgYL7NzMH9KZ1LXMsobEhHq4ialqgsH3rpjhHQ832c4PzWbenL2te/7DIyX2b4vx2jRomI7uF5APGIQBD59I0V++fwg9/+ih11D+Xm60pOruznFxvUrWNOWJl9x2DNSIl9xWNuWPqQhqxDzrr8XfroJxrOw6nQV+AYV3K6UAA1WnAap9IF9ggDGsioQ3ThDc7PGFvXl2CogHzZVAD0IVJ30Qg7icdD06bPZj2S2meW16+vtgUQdtC1Tr709anl/74k7lxBCCHGUuhpaMUMGJbuK7TgTJV3gwLtwDY14WD7FKIQQYu5JJroQYtZ6hws8um2QvmwR21X1rLsyyVMyk7qWUV51PbqbEpQth/GyTcI0MEI6lu1SsT3q45Ep2dS17Osdg3kefW6QsVKVquMSBOADCdMgFVXlYAqVKsWKQ7Zg8ekf29zxsjNZ0ZzCDwKGchUqVZdYxKAlHVvU2drdzSk6M8lT6prEKcj3VYZ2Ma+ahWoaNLWq4LnjQP9ucB3VFDQcViVcbEsF0JNplcmtz5CboOtw3iWq7nl+TAWuPU8dq1Len5EeqPPkxqBz5ezHPdvMcteFR34EQ/ugvUtlzWuaCupHu1Xj06c3Q1vnzNchWexCCCFOomQkTjISJ18tTwmgTxYzTHRd46GeJ1jR2C7Z6EIIIeaMBNGFELPSO1xg05Zd5Co2zXVRouEYluPSM5BjOFc55bKKaxnlPQM5lmeSnL6snt6REvmyTanqYDk+XU1JXn/F6umvOwDH83E9n5CuY7s+ugaeHzBerhIEYBohgiAgZoboGynylUd6uPqsDnYMFU65BxW6ptFWH5/vYQgxs9EhFRxuaD5QZkXTIJ5U35smDA+oUiuFcRgfURnl3WtmF0Q+43w4Zz1sfRpKBZV9HgQqiJ1MQ7WiAuu/+oWqlT6boHQts7yYV+NujKiGqL096nqu2aiO09+rAuhPPaoC5IVxVde9rUtl1R/cHHW6cjKzPZcQQghxjDQ0HM+dMYAOUHUdRst5ftu/nX35LMvSM3wKTAghhDjBJIguhDiiiSabFZvlmSTa/gBTIhImnjHYnS2yedsgnZnkKZNdPF097zOW1TNarJLNV0gnIrz+ijWsOCiwXbtXPgHnrWjkN7tG0DWd8VKViKFRrHo4HtTFVD3kquMRDoUIwqpMzpd/sZ1MXZSWdOyUf1AhxIJiVVR2dWNk+vVmVGWgX/pSiCfU9tGYKtMyU+b2ZLoOV75clW/Z9ltVA70urUq4VCuq0eiK06CYO3JGOEyfOQ+HZpb7Pjz0bVXjXdfVOb0AcqMqy37l6SqQbkbVg4HpysnM9lxHGrMQQghxGDmrSM4qHnYbD59cuUChWub5oV4JogshhJgz8peOEOKIJpps1kUnAug1mqbRnIrSmy0ylDuGWr4L2MH1vPeOlvD8gPNWZLhlmgA6TL1XkbBBJGxgGrqqoR5oBEGtaRL4foCuaQQEhEI6juMzWqySSUVJRMKEdI1EJMzyTJJcxWbztsFTtga9EPMuGlPZ5tXq9OtrzUPjCZWp3blSvR5N0LijGy5+MUQiEImqoL3jQLoRVq6DuvqpGeGHM13mfE0ts3xfL2z+iQp+t3VBOKIC6OGwyn63q+oYQXD45qizOddsxiyEEEIcxu/6e3A8D0PTOWxajqbh+R6/7n8OP5DeHEIIIeaGZKILIY6o1mQzOkMTn6gZIluwqFTdOR7ZyVer5z0wXmbvSAmAzqYErTOUJpl8r3QN6uImI4UKkbBO0VLNSQNUxrrnB4QNnXLVJRkN47geYUPH9acGyg9+UCFlUYQ4CRpbVKC5t0dlV08OFteah3avmbl56HR8XwWWrYrK9CZQNdDrGqG5DQIfjLDKQq+d73AZ4ZPNJnO+tBfKJWjpUMHxZB3kR8HYX8IlGlcB9nJRZabPdH2zOddsxiyEEEIcRtVz0DTQNJ0Q4E4KkO/vHqK2c226G9oYLo5LSRchhBBzRoLoQogjqjXZtByXRCR8yHrLVrW7Y5HF8yvlaJp37skWZ91Q9eB71Z1JUq66uJ6Nrml4QYAGWI6H7wfYrk9I1/CDgErVpS5mEg4dmtl6sh5UnGpNTIU4ZrquapuPDqkM7obM0TUPPdjkJpz5cdVQ1HVVtnt+XJVS6V59oOZ6zeEywmt8XwW+HRvGR9VYD/7/rW2pUjG+rzLfNU01FLVKqmRMNK6uxa7Cvj4VaJ/p+iZn6cemeYg3mzELIYQQR9CeasLQQ7i+h3dQhvnkFJNYOMKaTBd5q0TZtuZ2kEIIIZasxRPxEkLMm8lNNuMZY0pJlyAIGC5YrG1L05JeHAGU3uHCrIPiR9tQ9eB7lY6bqilptsjweJmK7RIEAY7rYYR0klGD+kQEz/cZL9mUqi6u6wFTH1acjAcVR3MfhFgSOrpVg8xa8Ptom4fWTG7CGY7AyJAKnHuuClJrwN5dKpC+7lxVkxxml/FeC87v64XsAOzZAc3tqlb5wcdp71IZ5rXgdyqtaqDv61Njc6oqyN69Gi7/g5mv72Rk6QshhBAHuWrtRaQejJMt52bcRtc0LltxDlHDxDJs4mZ0DkcohBBiKZMguhDiiKZrshk1Q1i2x3DBIh0z2bCudVFkMB9NUHxyQ9XupgRl2yNftgkbOl1NCbbvy/HdX+1m4yUraauPo2vatPcqGTVYkUng+z518TAjRZuq65FJRYmZIVwvoOoEpKJhXN+nb6REOhGZeFhxMh5UHO3DASFOCZPLq8zUFLSjWzXIPNJ2hztHrQlnayf8dguMZ0EPQSQGngOhEPg2jAxCz7Ow+iyolqBYUOeaKSN8cnC+oRnWnAkvbIXBvSq7fPWZYEYOZM5vuBZ+/fjU4Hcqrcq6lIvqQUHnKvijPwHjMG8JT3SWvhBCCDENXdNJRhKHDaIHQUDeKjEelDizbSXtdZk5HKEQQoilTILoQohZqTXZrGUuZwsWphFibVuaDYskc3lyUHx5JjkRpE5EwsQzBruzRTZvG6Qzk0TXtIkmoVFD59k94+TLNp7v4/mqnnkQBOweLjKctzito34ig/vge9WbLTJWquJ6PqYRwnE9IoZO1fFwPZ+QrtOUirK6LcKuoTz9Y2Va6+M0pSIn5UHF0d4HIU4Jk8ur2LYqT9LWNX2Gua6rpqGzNTk4Xy6qQHM4As/9en/jTh90Q2VtG4b6THpjswpAD+6FQk4F1hMpFXif6Ry14Hz7/oB4LA5rz1aZ5cP90PN7lVU+OXNe06cPfudGobkDrnjZ4QPoNScqS18IIYSYwW/7t2N7Dhra/i5ChwqAx3b9jj9YdylXr7kYXZMHuEIIIeaGBNGFELNWa7K5WGto14LizXXRKSVpYPrmnZWqy3ipSq5Uper5JCIGnqcxlK9guz7hkEY8EiZqhg7J4K7dq1/vzPKfj+2g6vhoBBQqNpbj4fkBZijEypY66hMmAK4fsKIlxc7BPLlylYrtnpQHFUd7H4RY9A7O4G6MqBInvT0qwHzNxmMPAh8cnHdsFdQOhaBa2R84DwMauI4q6RLaH1APGWr79i4VGNdDKmv9p5sOHdPokDpHQ7P6uVxUNdYNQ2WkZ1qgkIeXXA9rzjqQFX4ig9/Hm6UvhBBCHMZoOc9YOT9jAL3G9T0u7DyDVU3L5mhkQgghhATRhRBHSde0RRtYrVRdbNcjGp6+JMrBzTujZoixkgpmZ1Kq3uJY0SIIIBk1qFQ9qo5HKhomGQ1Pm8H9y+1D7B0tYYQ0ktEwvg8V21M10Ms2vcMFxksm+YqD5/sq3hbSufLMDla11p2UBxVHex+EWNSmy+AGlcUd7VYZ2k9vVsHhow0GTxecHxuB4rgKktc1HNhW01TQ3HUAF8olFVA3wpBuVCVWauOabkxWRQXpw1VVB72YB89TwfpknWoMapqqUemJLlEz2dFm6QshhBCzlIrEqbjVI24XMUyiYXMORiSEEEIcIKlDQoglIxYxMI0QljN9cPjg5p0qB0ZTHykNwHZ9qo5H2NDVSo2JPJmDM7gBBsfL/Hb3CJoGDYkI4VCISFgnZhqEdB3f99k7VmY4VyFihEjFVE103w94pm+MkK5N1Fqfz/sgxKI2OYP74P8vaZoqcTLQp7Y7GgcH52NxlUkejalM78BX2e6hkAp2gwqsa/tfnap6NU1VxuVIY4rGVAD+hd+rUizhCCRT6jU3qpY7jtpuOrXgd+dK9SrZ40IIIRaYbGnmWuhTBTTG607qWIQQQoiDyV9QQogloyUdoyuTZDhvEQRTPyZaa97ZnUlONO+s2h4NCZN4xCBXsak63kS2eNX1CYd0YuEQrq+OFTVD2K43kcG9Z6REoeJQF9tfygEAjXTcJKRruH6A6/kYIR0IyFcckpEw53Q3kK/YbN42iB8c/uOsc3EfhFjUahnckcj0682oKqliVY7uuDMF5z0XzBiEo6qcixlRwXLXAd8FLaTqlDu22q+pVWWPH2lM9RkVeC8VIFEH4bA6Tjisfi4V1T710mBNCCHE4vTCSN+stkuYMc7tWHuSRyOEEEJMJUF0IcSSoWsal69rJR0z2Z0tUrJUCZWS5bA7WzykeWcsYlCfiLC8JUljMjrRUNT1fGKmQTpuEjUNwiH1q3TGDO5gavZrJByiPh5R9cgDVd6l6vo0JaOcvqye+mT0kKz2+bwPQixq0ZjK9q7O8PFw21KZ4zNlcM9kpuC8EYZIFOrq1fdmdH9N9ADQVeBcC1TWeqoelq89NEN+ujGNZ1XWeSIFpbwKmPu+ei3l1fKwqbYTQgghFqNZJo+c2boSQ5dPTAohhJhbMvMIIZaU7uYUG9ev4NFtg/Rli2QL1ozNO2sZ2z0DOc7qrKdUddm6d5xCxaYxYZK3XJoSERIRYyKDe21beiKDe1lTglTMpGA5NBoq0O54qlyLHwRoQUAianBWdwP1+49Ta/R5suuSH819EGJRa2yBti7VRDTaPTVgHQQwllVNNhtbju64k4PzsUl9ImIJVaN8bFgF0lecBnYVRodV6ZdKSa2vb1SZ5MmDPo4+05isigrGrz4DBvvVsfyKCsanG1VN9HLx6DPqj4XvS3NRIYQQJ9w5HWvR0fAJVPWzGbZ7xVkvnsthCSGEEIAE0YUQS1B3c4rOTJKhXIVK1Z2xeWctY3s4V6F3pERzKsqa1jp+v2eMgZxFXcykozFOueoyXLAOyeBuq49z7vJGHn9+kGzewvV9HM+fyGZ3g4CWhMmyxsRE8LxmLuqSz/Y+CLGo6TpcsEEFfff1qnrjZlRle49lIZlW6482CDxTcF7TVBPPkUH1cywO9U2QboDBvRCJwUuuV4Hvh749+zHVgvZmFNaepYLxrqMC67EEWGWVlX60GfVHq39/09OBPpWJb5rqPlywQTUwFUIIIY7R2kw3mUQ9w6WxGbdJhKNEQtJUVAghxNyTILoQYknSNdW080gOzti2XY+GZISYGSISNihUHKqGP20Gt65pvOLCbvZkizzXP47nBYRCGhpghHR0TaNi++TKNvWJAyUhpstqr/GD4IQGvWd7H4RY1Dq64ZqNB4K/4yOq9En3mumDv7PJtD5ccL6YUxno6UYoF/Y3AjVh7dlTz3c0Y6oF7XdvV0F5zz0QQIdjz6g/Gv298NNNKgu+oRkaIyoTv7dH3YdrNkogXQghxDHrSDdz3bpL+e7vf07eKh2y3tQNGhP1/HT7FtrqMqxqWjYPoxRCCLFUSRBdCCGOoJax/esdWR7fPoTnB8TNEAEajckol65t4fxVmWmD2Z2ZJJ37m3i6vspCN0I6TckI9QmT5/aO8/TOLKe116HrIXzfp2A5tKTjh9Ql3zVc4Ce/7qNvpIgfQCoWpjuT4nIpvyLEkXV0qwzxIwXHjybTenJwfl8vlPaqEi1tnbDhOrX+cOc70phqwfxySWWaR6Iw1A87n1cNRY2wynSPxKC5/dgy6mfL99V1FvPQPinzPhZXmfj79t+3tk4p7SKEEOKY6JrOjeddy7MDL/Db/h4C/APr0GhMpLls+TmMlvM81PMEKxrb0TWZc4QQQswNCaILIZaso8nq3pMt8out+xjKV6iLmyQiYUI6ZAsWjzw3QKYuSndz6pBjBkFAoeJw4aoMAeC4PmFDJxExyFccktEw+8bKPL59GN9XmepNySidTckp5//l84N86RfbGStWCYc0TCNE0XIYL9oM5ypsXL9CAulCHImuQ6Zt5vXHkmnd0Q2BD6UClIpQragA/OafqEB65wq13UzZ7TONqRbM3/EcDO9TgXTbUtuH939yxXVUBnpdA5y7fvZZ4MdS03x0SF1XQ/OhjVA1TWXiD/Sp7Q53j4UQQojD6Bsf5IWRvfiTAugAPgFjlQKFaom2VCM7RvayL59lWfokfgJLCCGEmESC6EKIJal3uDClRItphOjKJKfN6vaDgO891cuze8bQgaFchZCuUxc36WpKMF622bxtEB94bP8xq46LH0DECDGcr9Bc14gROhCkypVtnts7TslyCYC4qeqfe15ASNfozRbZtGUXG9evwA8Cvvzz7YwULTKpCOFQCNf3KVoOjuMBsHnbIJ2ZpNQzF+JYHWumdX8vPPhtGB6AqgVWSQW2+3bC75+CF/8htHepYPjg3tnVEa8F84cHVCkYz4XAA89T5w6FVCZ6x3JI1atSMHt2wjkXHzkYfqw1za2K2r4xMv16M6rGMReNTYUQQpySXN/l7p99iUL10FIuAFXXZvPO33HjeVdjuw5l25rjEQohhFjKJIguhFhyeocLbNqyi1zFprkuSjQcw3JcegZy02Z1/3pnlid6hggCqIuZhEIanhcwWrQoV126Mwm27hlj13ABx/OJhHXyFYexYpWC5VC1Pcq2y1mdDaQTEYIgYPdwgWLFpmI7BEFAUypKJKwy13MVG8/zGS9XeXTbIIWyzWipSnMqStgIARAOhaiP64yXbSzHZXe2wFCuIvXNhThWx5JpXQu8Dw+o4LtThWgCQmGwx1XQ/Jufh0RSlVzpXgNtyw7Nbp9c0sWMwlOPQiGngue+p+qel0sQi4HrQhCA56ttWvcH9WeTBX48Nc1rjU2rVfVg4WC2pWq6n+zGpkIIIU5ZT/b9nl1j/YfdJlctsHN0H3EzStyMztHIhBBCCAmiCyGWGD8IeHTbILmKzfJMEm1/sCwRCRPPGOzOFqdkdftBwOPPD2I5Hm3pGPr+LE/d0EiHTHIVm+F8hfGSTSYVpaMxwbb+HJbjkoiEScUMerMl9o2V0YAzOxso2y692SKu61O2XYyQTq5sUxfXiIZDxE1V6qW1Psbz/eOUqg7hkE4odHCGqUbCNChXXQoVh0rVndubKcSp5FgyrWtNRauWCqAn02BXITeissYjUahUVADcMGHfbhVkTqUPZLc//H1I1R3IUvc9yA6oYHipoILyvqdKxmhhMDR1jnhCBcMrJRWgP1IW+PHWNK81Nu3tUdtPftAQBHPT2FQIIcQp7eGep2a13fNDu3jNedfQXpc5ySMSQgghDpAguhBi0TiaGuYz7duXLfJ8/zit6dhEAL1G0zSaU1F6s8WJrO6hXIXhvEXcNPCCAP2g7eOmwXDOwvF8Msui9I2UsByXdMycOH5zKspwwWKkWOX3e8awXR/L9tC0AF2DWDhExfZwPIumVBTT0KnYLiFdw7I9XNfHNHQ8L0A3po7ZCOnYFVsdJyK/0oU4ZrPNtDYjKshtVWBsBAp5VcIlmlDbFfMqgG5GwPUAHwLUMWv10pN1KghtRuCZJ1RT0LYuaDBVtvj4qDp+EKj93EA1LA38/a8OoKlMddcFbRZZ4Mdb01zXVcmX2oODhox6sGBbKoCeTJ/cxqZCCCFOeTtH9s5qO9tzuXrNxdJUVAghxJySiIsQYlE4mhrmh9t3rGjRN1KiYDmsyCRJJ6ZmnUbNENmCNZHVXam66LpGfTLCeKlKfVwHDgSgjJBGxXaJRwzCIZ2RgoWh6zieTziko2kaiWgYy/GImiEGxyvouoauQSRsYOg+hqGjA1XXJ1+2ScfDhHQdzw+ImiEiYZ0AKFgO6ZA5JfjvuB6OF9CVSdKSljIKQhyz2WRa12dgy88OzRp3qhBPqkafdhWMMKCpOuZo6ldG4EM0fiB7PJaAkWGVxd7Yovbds0NllNtVFXDXUNns8aQKuFcrEDJUIJ1A1UYPhWaXBW5V1AOCqAP5MTXGWOLAdc6mpnlHtyr5UqupPj6igvfda45cU10IIYQ4AtMIz2q75Q1trGpadpJHI4QQQkwlQXQhxIJ3tDXMD7dvPGIwnLfI5itYVZfTl9VPCaRbtgrQ17K6YxGDiBGitS6KVXUZL9skTAMjpON6PrmKTSRskI6bbN07zmjBIhTSCWkakbBOXTxCSIOoabCyJUW+bLO6LU2h4lC0HKquh2V7RMMhwiEdy3HRLWipi1GqupzWUU8QBPyudxTbVeeLTzp/tlglk4py3Xld0lRUiONxpExrTVdNPsezB+qJWxbs3Q3FggpIG4YKluthIDjQCFTXQQ+pALhVUdnjlZIKZkfj6hz7elXwPJYAx4ZSUb1mB6EtrLLXXVvtH0uoIH4ypQLZqfojZ4Hnx2C4H/p3q8C5HlLHbO9S5WVmW9O8o3tqDfdoTAXvJQNdCCHEcVrR2MHDO45c0uXMttVzMBohhBBiKvmLRwixoB1cwzwRCRPSNRKRMMszSXIVm83bBvGDYFb7pqIGyViYwIeCZdM7UsIPAoqWw2jBom+kOCWruyUdoyuTxHJ91nWkaUxGVcZ4xcZyPMxQiLO7G3D9gNFiFUPXCOsaIV2jYnuMFCqMl23ScZOAAF3XaauPs6atjmg4hK5paBpUHBfP97EdH13TCIV06uMRLl/XyhWnt9FeH6cubpKKhqk6HmPFKqP7A+i3vngtK46QjS+EmIVapnX3GpUx3vcCDO2Dxlaoa1AB8vZuVWJFD6m65Kefp4LnI4MqOI52ICM9ZKjAtK6p7z1XZY4bBjgOWGWoq1dlYez9NdXDpno1TbWt76tAuu+pdZGI+t5zVXZ6QwYuulwFtmfS3wtP/kIF9X1XNTo1I5AfhZ3PQX5cPSho65pdTXNdVyVfOleqVwmgCyGEOAHOW7bmhG4nhBBCnEiSiS6EWNBqdcyb66KzqmF+uH1zpSq9IyXyZZti1cHzAgqVcfLlKq4XULZdomGDzqYqe7JFuptT6JrG5etaGc5VGK/YrGxJ4vlQshzyFZvmdIyIESIVNfH9gGzBwvZ8YuEQxv5AuobGsoYYg3mLutj+hwBRk9OX1dM7UiKbr+zPSvfRdGiui3He8iY2TCpVs3H9Ch7dNkjvcIFCxUbXdbqaklx33jJWtNTN2X8PIU55Hd0qWF4qqIaggQ/D+2BkQAWND/7ER7oB1p4NPc+qwLvvg+OqQLsRVsHqINi/zlUlYUBlcptRSKTU8aOTSqtEoiq7PEAF3K2y2j+egI4VKoPcc1XgfWwEHvsp7Hx++pIqtYaipYIa565t+xuWxiGegsI4bH8G1pwlNc2FEELMq6rrntDthBBCiBNJguhCiAWtUnWxXY9oePoSAwfXMJ9p31ypynN7x7Fcj1QsTMw0GBqvULAc+kZKZFJRljUmaE5HyRYsNm3ZNVEmprs5NRHEnlyT/ZzuJk7rSPPfv93L8pYkrhvn+X05+kdLFKsu4ZBO3DTQNdg5XKSlLsayxgTDBYt4xCCdiHB23KRUTVF1XPaMllnVkmLjJStpq49PKc/S3ZyioynB1j1j5Eo26YTJGZ0NGBLwEuLE6u+FB7+tgtYtHSrze2QICjnYuwsiMVX+pCYIoDGjMsHTjWq/7IAKgKcbYNkKVZZldw/4usomLxdh9Zlq+329qixMND71mL4HHcvVcYf74ZIrIdWoMsa3/UZlvTe1qvFVq6qW++iQyqSfHEif3FA0FoeVp6ufaw1Q9f111S+6QmqaCyGEmFcFq4SGRsChnzCt0fZvJ4QQQsw1CaILIRa0WMTANEJYjkvcNChV3YmmnYmIcUgN82n3tV16R0pYrkd93KTqeOTLNpbtogEaAa7n09WUoCEZJQgCdmeLbN42SGcmia5pdDen6MwkGcpVqFRdYhGDlnSM3UOFiUB9KKLxotXNDDQl2DNSYrxkU7Edqo5P2NCpi5nUaxq6prE7W6Q5FSVqhvb/MeDS3ZTklRctp6MhAahyNLXzjRWrPNc/zp6R0kQQ/5nesVk1VhVCzFIta7uYV2Vbag+yEin1ZVVUADq5/9Mf2QEY2AulHLieyh5fcRpc9GJV3iU/pgLmRhjOukgFxJuaIdBg93Z1nvER9epYKqge2p95bkZVvXLDgHAE9vZB/rfQ+4Ja39yhSszE4uor2q0C8k9vVuepPWCzKqp+euP+3g+ptBp/paQC8bqmyrmkG+b6bgshhBBThEPhwwbQQT2j3jmyd24GJIQQQkwiQXQhxIJWq0n+290jeJ5PvuLg+T4hXVelUUI65y1vmqhhPt2+z/SOkCtVSUQMqo5HNm9RdTx8AiKmTsQIUa66PNs3xjndjaQTkWnLxOiadkjJmMlB/kQkjKZptDckiJkGz/SO4gc+iWiYC1c1EzZ0hvMWOhqZVJR8xSFbsDCNEGvb0lPKt/QOFyYy38dLVQbGyhiGzpr2OjqbkrNurCqEOAqTs7Ynl22JJVTweXR/RvrwAAzthcG9KhCtaZCqU002RwahWoGrXwXRKPTtgO3PqoD66LCql54bhXhSZZqnG+B3T0Ixp4LddfWqznlblwp273hOBeJDITUOTYNEnapnbpVUZnkqrZY3ZNT4R4dUrXJQYzJNla0e2//7S9PU+UEF083IkRuKCiGEECdZLBxBgyOE0eG7v3+Ey1aez5WrL5yLYQkhhBCANBYVQixwuqaxqiVFNm+xZ7SErkEyGkbXYM9oiWzeYmVLakrpk8n7Xr6ulZhpULAcfB/GSzZV18MHQCMc0jH2f1Vsl56BPKNFC9f3qTrutGViJqsF6ofzFsH+5qZBENA3UsL1faJhg9Z0nHTcnGiG6hNQHzd5w5VrufXFa3njVadx0+WrpwTQN23ZRc9AjrpYGNvz8Qnw/YDe4RJFy5lVY1UhxFGqZW1HIlOXa5oKakfjKmt7x1bVcNT3Iby/7jmaygRPplVm+W8eh0oZnvw57NmhMsxb2lUN8tEhVZalmFPZ5Oeuh+Y2lXUeicKKder7/t2qLnst4G6E1TmjUXUeu6qC5rX//5tRVTrGqhwYe2OLGvvY8IHtaoLg6BqKCiGEECeRruno2pFDFAW7zD2PfBXXl9roQggh5o5kogshFjQ/CNgxVCCTilKfMClUHIqWQ0jX6WxMENJ1dg4VuHhty7SB9O7mFC+/sJu9o2UKlk2+YuMHAAEBAZbt4XgBGmC7Gr3ZIrmyTUjXCBshxkpVVh5mfJMbj9ZKtLh+wGjBwvchETXoyiQnmqLWmqH2jZTQNI2VrVObgvpBwCPPDTCYK9OSjlGsOhTKNum4iaHr5Co2fdkidV0NR2ysKoQ4StNlbdek0iqQPT6qyql4rgqMR2MqY9yMqKD44B5VB33HVvjdEwcaiObGVemU0WGVYjc6DKX9ZWPau+G0c6HvBciNwd6d6piZNlW3vLldBfINQ2Wku54K3kfjUMirbPJ4EmxL1VyfnFWu66ph6OiQCvI3ZNR4bEsF0JPp+Wso6vtqXFZFjbmxRRqbCiHEEqYBhh7C9/wjZqO/MLKXp/Y8x/rus+diaEIIIYQE0YUQC9tQrkJftsjyluSBmuiujxFSQelCxWFb/ziD42Xa99cSP9j5KzO8+Iw2Htm6j3FszJBGOKRRdX0cz6dqe2i6hqapIHfMDFG2XXRP4xdbB8ikooctl3Jw49GxYhXL8WhviLO8OUU6bk7Z/nDNUH+9M8svtg7guB5DuQqeF1CsOjSHYoRDGnHTIFe2KVVdktHwYY8lhDhKtazt3h5VY3zyg7kgUBnm6Qa13d5dkEypeuW17aJxVe4lOwA7n4fAg/qMChCXSzA0oDLF40kIx1QpmNFhFZRfeboKpO/ZAVe8DJavUft87ysHMuNjCRVcz42CkVZBfL+iSsTUssq71xyaVd7RrRqOPr1ZZa6Pj6hge/caFUCfj4ai/b0HxmPb6uFFW9f8jUcIIcS862poJawbVD3niNs6vsuD25+QILoQQog5I0F0IcSCVqm6E407NU0jGQ2TK1XZNVwkX7ZxPY+q4/PNX+7ilRd1Txvs1jWNDeta+fnWfXhBQCSkYxghfMB2fZX2EgR4nk/YUAH0ZCTMuo404/vLpdQajMLUhp+1BqOTG4/2ZYt8/6leWtJRklHzkPHM1Ay1d7jA95/qJVeukklGMQxVYmasXCWbt2hOxzD3L3M8/7DHEkIcgyNlbUdj4DdAY7Oqfa6FpgbaPVdlqo8Oq2C5rqt65npIZVvrutrescFIqN89scSBsizLVqgg+fI1Kgs9OzA1M75WVqZSUlnvRlgtc50DpWRmyirv6FYNRxdC5nd/L/x0k3oo0dCsmp5Wq+rhxf/P3p8H2ZHd953oJ/e8e+0LlsLSQHezu7m12U2ym6soyqY8Mjl6XmjRtvQiPLbDGnssTlgTGs0f0rOG8hJWaGZiLI9fOCjNWHyyZIu0bInUwtVki5uaZLOb3WigsRRQqH25e+7n/fHLW3WrUFWoAgpAoXE+EYi692bmyZN5L/Lc+z3f/P5WFkTwv9dCunbJazQazV2n6PoY5o13lu7EC9fPc3F5htPDR+9grzQajUajEbTqotFoDjVbC3fW2yGvzKwRJCklz8axTCBhZqXFZ755edsim5lSNIOYsudQ8hyCOCFTIq6XfYdOmKBQRKnCdQzGakWmhkvUSh6ObW2KS+kv+BklImAfHynzbF4UdGKgyFitwIW5Bhfm6uvFRnsopVhsBpydqG0qhpopxdfOzdONEiq+g2FK/0qeTdlzaAYxjU5IrehimSaOZe7YlkajuQ12c22fehj+9PMiivc7wg0Dwlxoj0Npp1iCNJNc9KArsSyOK+JsEkMag2FKPIuVO9jnZ+DsExtO8u2c8ZWauNZnp2FxVsT1NN2bq9w0NwqO3iuyTM5tK4+y6V0fC0U5xtncoT5x7N6J1tolr9FoNPeEpdYaWbb3Oj++4/HFC9/i5NDknrLUNRqNRqO5HbSIrtFoDjW9wp0X5uoUhi2ml9sEScpA0UUpqIcRwxWfhydrTC+3b3CN90Tvl6+tcn21TcE1UcrCtgyqRRcDSNKMTGXYlskbjg5wZrK2Lnz3x6X0Cn7WuxGjVR/fKRDECRfm6izWu3zk6ZPrbvQTI2WuLDa5vNhirOrjuxZBlLLYDKgVXJ55ZHxThnvPwX58uEycKlZaAQNFEzAYKLmEcUqjG6MUTAwWQSmuLLW2bUuj0dwmO7m2QWJapi/A+LENR3iv4GgUgOUASmJcGqvQborIrTL5axiyPAigVBFBPklkvcnjm53kOznjbVu2HRiGt70bjp8+GKf03XBfryyIOD04utnFD/J8cESWryzcG8H/fnDJazQazeuUlU6DTGWYGNwsFd2zXSYqQ1xcnmG2scTRmi6QrdFoNJo7ixbRNRrNoaa/cOers3VWmgEFzyJKMjphgmWZVIsunShlpOzd4Br/9DcusdDo4tgmvmPhOSaZkhiXME7JsoxUKRzLouDaTAwWNznHe3EpvmvxpZdmqXcjTvQVCi15DsURmyt5hEu16HJtuU2UpMRJRphkzK52cGwT17Y4O1Hjmdy13s96bI1bYGq4RCeIWetElFxx4g+WXebrAWDgWCbNINmxLY1GcwDs5NruidqtOkyekMeriyK62jYMj4kbPYklpiWT6CWUAlQuqCtxN7uexL0oBZUBeM+HbhRod3LGnzgrfemJ/devbC9871UYv1vu66Ar7Q952y93fTnGoHtw+9wr94NLXqPRaF7HKKXIlJLv2WpnEd0ABgplFporDBSqdKLg7nVSo9FoNA8sWkTXaDSHnl7hzv/yZ1e4stgCJP4kzeSL9uWFBleXTCoFG8ey6IYJmVL8/vPTvHRtFRNIM0U7TGgFitGqTxhnOLaJZdi0w5RulGAacHmhydRImVrJ2xSXooCrSy1Gq/4mkR2kGKlvm3zz/AKTQ0WOj5TXXeoL9S6uZfGexyY5PVFlrFbY1jXeH1tTK3k8enSA6eU2jU5EJ0pQCiYHi/zld5zm9Hh1PYtdO9A1mrvMVlG7UhM3uWHCybMwegReeh6uX95wnveEgDiW+BbbEYH+oTfkxUUX4Mzj8Ohbdt7nds74uWvw2d/eWfjeqzB+N93XfmFzzvtWokAmCfx7EFF12F3yGo1G8zrn6MAooEhVtut6jmnjWy5L7ToVv0zR9e9OBzUajUbzQHNPbTS/9mu/xpve9Caq1SrVapV3vvOdfPazn11frpTiF37hFzhy5AiFQoH3ve99vPTSS/ewxxqN5l4xNVrhLz19kuMjZQZKUqzTNg0qvkul4OLZFkuNkLm1DqvtkO9eWuJbFxaIkwzPsakUXQZLHkmqmF3rEicpC/Uu9U6M65gUXBvTMrm+2uaFK8vMrrY3xaWEUUoYJySpYrUd0gpiVC6MKaWYbwQEScpYrUDJc7BMg5LncHK0QpxlTC+1dhW9e7E1i40ApRS1kscTxwd588lhnjg+xPhAgfc8doT3v/Eop8arTAwUtYCuuSfosRsRlD/0V+HDfxN+7GPwlz4Gpx+F6pDEsnSaUmQURHztFRQ1DbBsEWOTWHLU2w0YHocnn93d3dxzxh87JX/nronwPX0BihWoDohYf/5F+JNPw/e+sbG8VIWJo/J3+oK8fn1a2t3qvi4UZVKgUJTnrYYsz3YXNPZML+d9dfFGl6FSUpS1MgCdthRWPaj97oWeS97bxSUfR/fGJa/RaDS3yf0wfnfjaE/rpSpjtrHESrfBRHWYyerITbfJVMZMfYHzi9PM1BfIbiLUazQajUazlXvqRD927Bj/9J/+U86cOQPAb/zGb/DhD3+Y73znOzz++OP883/+z/mVX/kVfv3Xf52HH36YX/qlX+KDH/wg586do1LR8QUazYPE9GKTr74yx2orYG6tiwGUfYdMKRzDxLRFY7IMk1dm1lhthQRxykStgJkLU2XfwTYN5utdVjsRWZpRLThUCz5BnLLWiQjilHonptGNee/jk/zFJ08wNVrh+YuLXF/tcmWxhWGAZUqMzNRIGcs0WGuFFPPolX4Mw2C04m+KmdmO/tiaK0stRiuSo24AjSBmvFbkWZ19rjkE6LE7pz/uJcvg/Etw5Ty0W/LccsSJniSSh44BtgW+LyJ1pyXFRB96w/4jU/qF73INZi7J4zSVfq0swsxlqA3BkRO7x5Lcbff1TjnvUSDCfqctx/H7v3X3C3oeZpe8RqPR3Cb3w/jdjroopTAwULtkopuGSZKlBHHEu069+aZFRS8uz/CF89/k0sp1wiTCs11ODR3hh84+zenhowd9GBqNRqN5nXJPneg/9mM/xo/+6I/y8MMP8/DDD/O//q//K+Vyma9//esopfjVX/1Vfv7nf54f//Ef54knnuA3fuM36HQ6fOpTn7qX3dZoHngypZhb63BpvsHcWodsl8zCg6BX0PO1+QZHBotYhgEGdKKExUaXVhCx1okoODZnJ6ucn60zs9Km6NqkW/rmuzYjVR8DqJVcTo5WSTJFqhTjNZ9jwyXGqj6GAWstccNcXmzyh9+9ShDGhElK2XfwbIuVVsArM2usNAM6UcJg2aPk3Tg36bsWUZLSDZNdj7MXW3NmokajG3NtuU2jG3N2osZHnj6ps881h4IHfuzOMnFIX7u04ZTuCcOOA4vXJaw1SwElyxwXSmWwXRHVB0bg+EPwF/6yONr3KxD3hG/Hg8vnoL4ij8sVEaSDLly7DJm6uTB+L9zXvUicqTPi3F+YgcU5mVgolmB0cmfn/M3Y7v3ZKzdzya8uyfJekVmNRqO5j7gfxu+1bhOpILL7b4s0S7EtC9s08ewdxq+ci8sz/Obzn+Xl+csM+GVODh5hwC/z8vxlfvP5z3JxeeYAj0Cj0Wg0r2cOTSZ6mqb8zu/8Du12m3e+851cunSJubk5fuRHfmR9Hc/zeO9738tzzz3H3/27f3fbdsIwJAzD9eeNRuOO912jeZCYXmzytXPzXF1qESVSdPP4SJln71CBy0wpvnZunrVOxEjFY6UVUvBsDBRhkomDvB0xNVJmaqRMueBwbmYNBQyUPdbaIQNFE1G1BAPJSB8s+7RzYXyg6K6v49gWpmlQ70b8/p9d4cpSi2vLbSxDCoDORG2GKh5V32G1HfHafIxnW4zWbsxLh43ipIVtBPatTI1WODZSZqHepRsmOvtcc6g5qLEb7pPx+2YZ4297D1y9BI21DRHWccHzJcZFZSIUL83Csz8Cp9+wt6KfWwm6UrS0VZe/5dqGWO6YUKpAYxXWFuHYyRuF9P7inffKfd2f895pw9e/IHnxN3PO73Z+brc46m4u+dUlOc9vfUYXFdVoNPc9h/W392Chwl6+8ZqmSdkrYmCw1m3uuF6mMr5w/pusdZo8NHx0/Xt62SvykFvgteUZvnjhW5wcmrypm12j0Wg0mnsuon//+9/nne98J0EQUC6X+fSnP81jjz3Gc889B8D4+Pim9cfHx7ly5cqO7f3yL/8yv/iLv3hH+6zRPKj0HOH1bsRo1V8vnnlhrs5ivXtH3NIL9S6vXFul3o24vtImjBM6YULBtRgqeygFSaY4OVahUnBpBzG+K5e2omsRhAlrnYiSa2NbJkma0QwibNOkWnBZaYW5e3zjK3uSZlimScG1+NNX54nTjMGyR8GxKYQxK62QpUYg8TCWiWObPDRRpRulcgtqn2DVX5x0rLY3Eco0jB1jXzSaw8BBj91wH4zfeym+efw0jB2FOBTneae14QZXKs9JN0RMrw7CH/6HWxN8/YI4rOtrUCjdKJKjpHhpqwXdNhTLmxf3C+M99/X0BRGs+9vqua+nztwZ93UvEmdpDpprso9bjZQ5qOKoWwvHri3LuZo6c/diZTQajeYOcdh/exddf5sx7UZMTIqOj1KKoWJ1x/VmG0tcWrnORGXoBqOLYRhMVIa4uDzDbGOJozV9l5FGo9Fodueei+iPPPII3/3ud1lbW+M//sf/yE/+5E/y5S9/eX351sFuq0C1lZ/7uZ/j4x//+PrzRqPB8ePHD77jGs0DRs8RXu9GnBgpr/8/LHkOxRGbK0stnjs3z7GR8m27pjOl1p3YL19b5dJCA8c2KfsORdcjSjPa3YQoTqmVPLIsI06zdcH64ckaCnhtvsHDR2pcnG/S6EYopXAsk4LjMDxeIMsykjTdFMGilKITJQyVPJpdyUgvODa+Y2MYBmXfpeQ5LLcCKr7L8eESq+2Qx44Ocn62vinPPIhSFpvBenFS7SbXvF446LEbDvn4vbX45k5O6T//l2FoRCJWamXJPu92pIhomkjES7EsAvpL35Y2bkXwHRoTYfnSOYlw6aGURK902uAXRSyP483b9op3jkzIeizAm99xb93XvUiZoV0iZXrO+e3Y6/tzMyd7j36X/H7vEtBoNJpDzGH/7V1wPNQeCn5ahkEnCnhk7CRvOnJ2x/U6UUCYRBQcf8f9LbRW6UTBLfdZo9FoNA8OtyWiX7hwgddee433vOc9FAqFPf1I3orruuvFTd72trfxrW99i//tf/vf+J/+p/8JgLm5OSYnJ9fXX1hYuGGGvB/P8/B2yvXUaDS3zEK9y9WlFqPVGyNL9lo8cy/0x8WEScr0YotmEDNeLeBYUrSz5Dq0g4R2mNCNEhzb4tWZOtWiy+RgkWcfFafipYUmL06vkqqMLFNkSmEYiocmqvzwG4/yxZeuc22lgxsl+K5NkmZ0ogTfkdz0V6/XKeYO9jRVmLaxfry+Y7HQ6NLoRqSZ4luvLTJWKzDiWDS6MUvNANe2ODtR45k7FHWj0dwqtzt+H/TYDYd8/N5r8c21JXGjf+OLMDcj8SRKQZZAhjw3LViel7+PvvnWBF/ThLe8A176M4mOKVWkGGdjDYKOtOkV5LXrV8TlfrPinW96u+SI3wv39e1GytyJ4qj9hWM1Go3mkHDYxu+DHruvrS2Q7qGWRZQljHpF/vqTfwHb3FnSKLo+nu3SjQPK3o3jSzcOcW1HHPAajUaj0dyEW7LULC8v88M//MM8/PDD/OiP/iizs7MA/O2//bf5H//H//G2OqSUIgxDTp06xcTEBH/8x3+8viyKIr785S/zzDPP3NY+NBrN/umGCVGS4jvbf1Hda/HM7egVKn3ulTk+9dULnJ+tUy06DOUuc8s0WWgGdKOEIE5pBjGmYWDbJmmelLDSDlhuiQv92EgeXaAAAwwMbMvEtS1sywQFk4NFPvquMxwbLtPoxjS7EVGSMVz2efToAJ5j0YkSRqo+Q2WPdhSj8ozjMM9hD6KENFNMDhYZq/pcW26x1Ax48vQIf/3dZ/hb73uYv/rsQ1pA1xwa7tT4/bofu/dafPPqRXGHFytgy6QfUShucAMRc5WStjptiTFprEnsSy9D3S/Cay/DhZd2L4r56FvgiacktqXdlLaCjmw/OgmuI673JJainTcr3vnCN0SY//DfhP/mJ+TvzYqe3k4Rz35ut6DnvSiOqtFoNHeRB2X8Xu02yW5SVBTAMkw+9uc+xHsfenLX9SarI5waOsJcc2X9e3wPpRRzzRVODx9lsjpyW/3WaDQazYPBLTnRf+ZnfgbbtpmenuYNb3jD+ut/7a/9NX7mZ36Gf/kv/+We2vmf/+f/mQ996EMcP36cZrPJb/3Wb/GlL32Jz33ucxiGwT/6R/+IT3ziE5w9e5azZ8/yiU98gmKxyE/8xE/cSrc1Gs1tUPBsXNsiiBNKnnPD8v0Uz+yn5zyfXmzy2nyDTpgwOVhkqOSSKTBNg7Gqz9xal4V6F8cyiFOFZ5uYKaCgVnQxDYNmN+I/fesSV5aarLYjOlHMMw+P0Y0l7sWxTIquxfRym+fOzfNXn32Iv/cjb+C3vvoaq+2ASsGh5DmEccJyM8C3LcZrBQqeQydKqXcjiq7NWjskTFJMw6Dki9h/abFFvR3SDGJmVzq86w0TvOvRCR3hojlUHMT4/UCO3X4BHAfWVsC2RbjuzyKPAnnt/EsiaD/2Vrj4MiwvynaOJ2J2sw6VqsS6NFbgB2u54G6L0xpEdG+34HP/AR56SZzgO0WLvPdHZd+vvgC+D+UBcbsHHSiU4eTDkjU+OglPvxe+8aXdi3d+9+sinO8ltuR2i3j2c7sFPe9VcVSNRqO5Szwo47dj3vgbYzsmKyO0oy6ZynYtCGoaJj909mlmm8u8tjzDRGWIguPRjUPmmisMFiu8/8xTuqioRqPRaPbELYnof/RHf8Qf/uEfcuzYsU2vnz179qaFw/qZn5/nb/7Nv8ns7Cy1Wo03velNfO5zn+ODH/wgAD/7sz9Lt9vl7//9v8/q6ipvf/vb+aM/+iMqFe3q1GjuNmO1AsdHylyYq1McsW+7eCZsLlRa9CwMoFp0WG2HdMOEqZEylimFO8dqBZabAZ0oxTINMmVgGmCYBkGUUvBsfMdiqRnyhe/PEMQpAyWPOFVMjZQZLG04FPujZ06OVXn/E0f49Dcvc362sS62Tw4WefTYAEGSMT7g8OjRAaaXWqw0A1pBTKYUAyWPEyNlZlbaBIlkq7u2RTdKeOnqCkuN4I4UW9VobpWDGL8fyLE7DKCxCnPXRNy1bChXYfK4/F1dkuiP+opEihSKcOSkPE/zQqKmBaYBtWGor4pr27JF/E4SaRugOgSlElRq4hC/ehFqQ9Bpbhar3/IO8HwRyi/8AFxT3NaZJetPHJc2HEf6Hgb7K96ZZTtngh9UEc9+bqeg570sjqrRaDR3gQdl/A6SvWWTj5QH9lwQ9PTwUT725If4wvlvcmnlOgutVVzb4bGJU7z/zFOcHj56EF3XaDQazQPALYno7XabYvFGp8/S0tK+MtH+7b/9t7suNwyDX/iFX+AXfuEX9ttFjUZzwJiGwbOPjLNY7x5I8cythUrXOhGZUpQch6ILa52IpWZAteCw0g6pFhy6kU2aKWpFhzjJmF3tkGSKJBGXuMqjXYbLPkGcEqcZK82ATpjw6NEBakVxevquxVIzoBsmTC82+fqr85gGnB6v4pgmnmvSDlPiVGFirB/vG47WuLJo0ehGDBRdnpga4tpKhyBJGSi6gEFmKoJYJh3q3ejAiq1qNAfBQYzfD9zYfX0avvB7gCHu8zQRMby+DK26CNajk3DmMfj6FzciRXxfXOZ+QYRcAwgCcYmblrQHkCkpPmpaIrZ36nDklIjazbrknrsevOGtMOSLWH3uBRGba0MinIddEedHxqRoac8lr5QI9PVVmLki2+6leOduLvOJYwdbxLOfWy3oebtOdo1GoznkPCjjd5hEe14vSuI9FwQ9PXyUk0MfZraxRCcKKLo+k9UR7UDXaDQazb64pVHjPe95D//3//1/rz83DIMsy/gX/+Jf8P73v//AOqfRaA4XU6MVPvL0Sc5M1Gh0Y64tt2l0Y85O1PbluM6U4qWrK7x8bZWiJ7nBjmVimVLAEwxKrk2jGzNS9fFti5VWiAG4tkkYp8zXu8SpwgAsU0QcpcQ82QpiLNMkTjIKrkU7iHn1+hrNboRSaj16xnMtfv/5aV66tspKM+Dacovp5Rbz9YDBkkumFMMVj4fGqzS6MTMrHQzDYKTic3ayhmNbNDoRJc+mJ4glqWS4u7a1yfGu0RwG9Pi9T7JsQzA+/SicfQIGhvPcbgO6bVnv/T8mBUV7kSIg8S6WDYYpjnHDBJSI6ANDYJkiyHc6klPem2fLFAwOy+O5ayL8GoZsa1oSC9Oqi+DdasDYpAjG7TosXJeCoYYhAvz5l+CV74kY/t3nYPE6rCxuf6y9yJPGqrjMpy9IXnp/bvqffBq+8QXJbPe3iU3Z6mi/FXoFPY+dkr97Fb57TvapMxKpszAjf6fOwAc+fOeLo2o0Gs0d5EEZvxeba3tab66xjGPZ+yoIahomR2tjnB2d4mhtTAvoGo1Go9k3t+RE/xf/4l/wvve9j29/+9tEUcTP/uzP8tJLL7GyssLXvva1g+6jRvNAkSnFQr1LN0woeDZjtcKhcjFPjVY4NlK+5T72MtBfvrbChbkGFd9hvhRwfLhEteiy0gqoWS62ZdKJEnzH5pEjNb4/vYplGcRJynIrJM3UuqieKYmUUYBliJBtWwZhAkvNgCRRrLVD2mHCUNnDNk3efHKY2ZU237qwgFJQLbhYlkGaKlZa4l6fGinR6MZ8+OmTGIZBN0zwXIsvvXid1+YbuHFKmmXYplxKlVJ0ooThsk/Js8mUWne8azSHAT1+75OVBRGEB0dFIK7UJL6l2xaHdxKLEO77N0aKFEqybn0FMl8EXb8o2/gFaDkieDdWxE1uWiLCez54BdlHqyHFQcNA9qeU9CeORMwPurJdbUj2EwayXCm4fE4E/SyB0QkYPw6ryyKsuz5UBzaOsxd5cvwhuPjK9i7zuAbnX4Rz35eJgHIVluc3YmN69DvaD4rdomX6uVUnu0aj0RxyHpTx27H2Jk+0oi6j5YH7riBopjLthtdoNJr7mFsS0R977DFeeOEFfu3Xfg3Lsmi32/z4j/84P/3TP83k5ORB91GjeWDoCcxXl1pEibilj4+UefaR8UOVq20aBhMD27gQb0J/BvpAyaPiO1iWsS5aHx0q0QkT6t0I1zIxDYM4zehECY9PDfHuN0wwt9rhN//reZpphDINolSRZSKg91BAminSDNphQsGxsJBog5mVNiXP4cRomW+cXyCIUyZqBcxcZDFtg5rlUu9GLDYkTiaIUk6NV9fbf9ejEyw1AubrHZSCKE0xMNZF/+MjZQzDIAiTWyq2qtHcKfT4vU+CrsSZ9EegGIYI2yAi+MJMLmZvEylSqcLsFRGbe3EtYQCdtojbxRLYufvbNCDNpLBo2AV8KUCKI8VAbXtDWPdL8loYiIg/eRyCtsTCrC7L692O9KlQhskTUCqLk/6lPxMx/A1vEbG+P/Lk1CPw9c9vTBr0aNZFlE8iucD6BTme+or06dSjG0L6QRfx3G8B056TXaPRaF5HPCjjdyfeWzyLQvGWI4/eVwL0xeWZ9Vz2MInwbJdTQ0f4obNP61x2jUajuU+4ZWVnYmKCX/zFXzzIvmg0DzT9AvNo1cd3CgRxwoW5Oov17n1foHJrBjrAXMkT53nBod6NWWuHPHKkxtWlFtdXO5Q8myTLODtR45l8IuHSfIOxWoFumBCnKZnayKUyDElCUJkiBTzHkiz1MCXNJDD92FAJyzJ5cXqVxUZA0bVJldqUbWUYBkXXZrUVUvadG0TwXqzNV1+ZY6U1y3IzpOo7DJd9jo+UqRXdWy62qtHcafT4vQ/8wkZES2GbicOtgnF/ccyLr8D1y3JhKucFPkFE7zCQiJTBUXktjkSINwyJfVldhqMnRBDuNMVNXSiJmJ2mULDEmW5aEhtTLIuQfX0a5q+JsF0sS2xMv1O8OgBnHoeZSxLrYlmbi3dm6Y2TBj33exRCZVD64xVE6C9Vod2Q5eV8ovEgi3jeiQKmGo1Gc5/yIIzfQ8W9/dbxbY+zo8fvcG8OjovLM/zm859lrdNkojJEwfHpxgEvz19mtrnMx578kBbSNRqN5j7glkT0T37yk5TLZf7KX/krm17/nd/5HTqdDj/5kz95IJ07bBz2mA3N/ctWgdnIP1clz6E4YnNlqXXfF6hcqHe5utRitOqvH9/UcIlOEFPvxriWyVo7ZKzmUy44PFEe4j2PTXJ6orrp/1rBsxkoeVyz2rhAlmYo8jx0JREvWW5LH6541Aouiyqg4HucnagyVi3QjVKuLrdIs4yBssdqK6DkKbJMHOymAYZp0AkTRquFbUXwqdEKHx0p8+iRAf7gO9N0o4RjQyUKnk07iG+p2KpGc6d5UMfvW2ZrREv//+VeBMpWwfjIFIwdgd/9pAjPk8dFAA86EuVSX4EffAfiUMRz2xERvtsSl3epKpnnQbd3YYPxY7Jv2xbhO04g7EiMS6Ek+63U4NhJ2UcSwZGTMLxNlMnQqOz73X8eBkY2R54szd04adDvfs9SEe4HhmF+RgqW+j401mD2qhxDZQDe/I7bj1Dpz6M/6AKmDzJ7jcbRaDSHigdl/PadvWWc26bF5vtQb869ilLJVMYXzn+TtU6Th4aPrv8OKntFHnILvLY8wxcvfIuTQ5Ob+qOjXzQajebwcUsi+j/9p/+Uf/2v//UNr4+NjfF3/s7fed0M4v3cLzEbmvuT7QTmHoZhbCpQeSsxKoeBbpgQJSm+syFI10oejx4dYHq5Tb0d0gpi6p2Yx44NrjvPtzJWKzA5WOR7l5ewDCgWHMI4I04ycZsj9fkMJDnh6koblUnx0dfmmiw2Qo4OFcmyDMs0KLsW18OUpUawHgtj5I14js3p8cqOIrhpGDz50CgjVX/9+rDcCnFta5N7XqM5LDyI4/dtsV1Ei+tvjkB56zM3ipBrS9Bcg6MnN8ToXgQMuTM9jkRYN0wRxsePyeIwkEKjrQa84a0iurfq4mR3fclMX16A2qAI/L3rU2NNYlqUEpf45Velj5NbMsujAFxPtt0ae7LdpEGSiPvdN2FtRdZbnIU4hqgrWe9pJH0ulsHx4Htfl3NyOy7xrXn0/WwtYKrjW/bGfqNxNBrNoeFBGb8HCnv73pxmGRcWr3J8YG/X/3sZpTLbWOLSynUmKkPb/s6bqAxxcXmG2cYSR2tj97y/Go1Go9mZWxLRr1y5wqlTp254/cSJE0xPT992pw4br/eYDc29ZzuBuR/ftQ5dgcr93plR8Gxc2yKIE0qes/56reTxRNFlsRFQ74T8lWdO8/jxoRva6t/f0aESBdemGyVEcYZnm9iWgRkbJFmGbRokqWKlHeDaFsMVn6JvrxcNrbdDxmsFakWXF66siD6jxIVuGKAwMDDwHYtzM2s8dmxw1//jt1tsVaO5Wzxo4/eB0B/RMndVimb2R6BsJz5ul6Xew7ZFWLdtOHFWio3a9oajfHURmg34C39Zolfmrm3sO14WAT7N8jx1WwTu1UUpGApw5jF5vrIkAnNjFU6c2RCad4tb2W7SwJR6EqwsirPeL4qYXyxBuw3Lc+KWP3ISTp6R4z6IuJXdziHcmQKmrxe2c5vPXdPROBrNfcyDMn6PlAfxLIcwjXddL1Upf/jq1zkxdOSmovK9jlLpRAFhElHYwWVfcDwWWqt0ouBQ9Fej0Wg0O3NLIvrY2BgvvPACJ0+e3PT69773PYaHhw+iX4eGByFmQ3Pv2Ulg7hFE6aEqULnbnRk7icljtQLHR8pcmKtTHLFvcGJ0ooTHjg1tK6Bv3V+aKXzXpuBaNIOEIE4BmWwYr5UZqni8NL2CwuDYUBHTtIBe0VCH2bUugyUP35XzGcUptmWK0J4pkjQDDIbKHvVutKf/47dabFWjuZs8SOP3gXJkSmJD9hqDsVuWeqGUx7e0oVSRf0rJ8ziWiJQzj8u/npt7676DQNzec1dFFF+4Lu7ys09I7nmWwVxe8BQlueUjEyKAj05u757vP9b+SYMoFBd8uyH7HhwRJ3jP8Y4hgnaaZ7QfVNzKfvPoNcJ2bvPxY5Knr6NxNJr7lgdl/D49dISJygjTa7O7hrV4tsNKe43PvPhF/uG7P4ptbv8b6VajVA6Souvj2S7dOKDs3TiedeMQ13Youv6h6K9Go9FoduaWFLmPfvSj/MN/+A+pVCq85z3vAeDLX/4y/8P/8D/w0Y9+9EA7eK95EGI2NPee3QTmw1agcrc7My7ONRiqeDS78baxR88+Ms5ivcuVpRajFR/ftQiidNf88G33FyXMLLcJ4pS3nhzOBR2oFh1Kns2rs3VqRQ/TgEaQUHLBtkySNKMdJVR8BwUsNQIemqjy0tVVyBRJqjANg7LvUvRsoiSj5NlcWWry0tUVyp6jXeaa+5oHafw+cExz77Ehu2WpgxTmrA6Jk7rbhuVFcYwHHRGkx4+Jc7jnDN5u30emcsf4NfjKH8g+i3nx0flrIjCbpojgYSgRMIOj8Kanb+443ircX70I//k3ZVkSg2XL6+2GuOFLFagvS6RLqXIwcSu3kkf/oLNTIdYLL8lEy+k36GgcjeY+5UEZv4/URnlo5BjTa3Owi4zeCrtMr81zbW0BFHzkje/f1p19K1EqB81kdYRTQ0d4ef4yD7mFG37nzTVXeGziFJPVkUPRX41Go9HszC2J6L/0S7/ElStX+MAHPoBtSxNZlvG3/tbf4hOf+MSBdvBecz/GbGjuP0zDuCWB+W6z250ZcTHj268t4i1aPHl6BN/dPvboI0+fXHeVLzWDXfPDd9yf7/DGqUG+fXGJi/NNHj5SwzJNulHKUjOk6IrQPVErcG21Q6MT0YkSTNOg7DuMlH1W2iHdKGGiVqTiOxRcG4WI6K5tkilodiM6QcKlxSaL9QDfMakU3PUJAR3jpLnfeJDG73vKdrEojidC+cqiuMV/6Mfg5e/Bi9+SHHS/CONHYHBM4lh+/1PwtvfA8dObXe9bozpqg+IA930Rl3vu8cERWT8OodWE04+KAH7tErzxqZs7jrcK9yOTkMbSVtaVPmcZmCrPRU/g4itw8mHJYL/duJVbzaN/UNmtEOvQmLzvqwswMn6jkK6jcTSaQ8+DNH77totpGKRqZxE9yVIqbokgCTm3cIXffP6z28ac7DdK5U5gGiY/dPZpZpvLvLY8k0e0eHTjkLnmCoPFCu8/8xSmYR6K/mo0Go1mZ25JRHddl3//7/89/+Sf/BO+973vUSgUeOMb38iJEycOun/3nPstZkNz/zI1WuEvPX2SP/7uVa4ut8gUVArOoSpQudOdGUopri63MQ2jZwrHMo1tY4/2mh+eKcVLV1d4+doqtdKN//cGyj4nxyqcm1njO5eWAHGbHxks8d7HJnlhegXXtXji+CDtMGG1FbJQ79IJYs41ukSpoujaFFwb2zIxTXCsjf/HSZoSRinfu7JClKTEaUbRtWmHCWudSNdD0NyXPEjj9z2nPxbl4itSjDMKJXbF9eDaZRG9RydF5HQciXppNUQkXrwOVy/B1EMiir71GWl3a1RHZUDE8TCUasqtBvilDaHUMKUYqe3I48uvwtI8jE3e2OftsrRNMxfrB6BYAZREzlx9TcR725Z2QcT0S6/AqUfl9duNW7mVPPq9sNNx3s/sVojVcWSSpr4mdz6sF7nN0dE4Gs2h50EZv2cbS6x1m5iGRaqyHddLVUon7lJwfE4PHWGhvbZtzMl+olTuJKeHj/KxJz+0Xix0obWKazs8NnGK9595al38Pyz91Wg0Gs323Jby+/DDD/Pwww8fVF8OJfdTzIbm/mZ6scmfnptnpRWSZQrTNBks+bzj4bFDI9TudGdGO0xodCIqvkM3ToiTjS+928Ue3Sw/vJeB/vK1FS7MNaj4DvOlgKmRMrWiC0C9HbJY72IaBmeP1BgoeqQqox0knLu+RqXgsNgIODFSJk0zrq+0aQYxSZrRCRNMA9aSlBcuR4xUPdphxkDRBAyUUtQ7EY0gJk5SBkoeo1WfNIVmEBPlx6frIWjuVx6E8ftQcGRKBNvrl2FgSATO2qAI4P0RG7VBWb9ZFxE6CiUWJcskOmX6gkSqgAjl/VEdS3NQX4E4Eud4mkLBytdV0ibAlfOyLArhTz4D7/uLm0Xo7bK0J46LWD1xbCNaZeK4TAAYhvQx6AKpiLQDw9Cqi3O8VJHCqbcbt7LfPPqbsdtx3s+FNXcrxFooQXUQFmYkd78fHY2j0dxXvN7H704UsNyuE2e7FxZVQCNoc6Q6QsUvYZrmtjEn+4lSudOcHj7KyaEPM9tYohMFFF2fyerIJtH/MPVXo9FoNDeyZxH94x//OP/kn/wTSqUSH//4x3dd91d+5Vduu2OHhfslZkNzf7M193t8oEgQJ8zXO/zet64cGsfzTndmxGlGmmVgGVimiWNvFjf2E3vUfy4GSh4V38GyDFZaAZ0w4dGjA1QLDtPLbTpRQrXgMF4rUvalP6qi5P+qY1HxHV6ZWWOlHdLshESJIk4zPNtitOqTpBnX1zos1AMGSh6r7RDPtghjEdqTNKPkOQyVfUzDxLShZrnUuxFBlHBlsanrIWgOPQ/q+H0oyDIpAJokm/OoC/aNERsAs3kUS7km4ma7KQ7yieMi/IKIvYYhjuIkFuG625E88uUF2S6OZZ1mXXLW/aJEdvRcfQszkp39gY+IcLxTlvb0BRGvP/CRjWiVK+dFtPeLYEXQbYma4Rdk37YjrvuB4YOLW9lPHv1u7OU471chfbdCrIYBw6OSW7+yIOvpaByN5tDzII7fnu0wXZ/b07pKKUbLkh2+U8zJfqJU7gamYe6aZX7Y+qvRaDSazexZRP/Od75DnLtXnn/++RsKXfTY6fX7mf3mOGs0+2G3nPGtUSj3erJmpzszHMvEMgwaQcx4rUhpS7zRXmOPtp4LgLmSx0oroFZwqHdjri61ODFapt4OMTColbxN++s532dXO1SLLouNLvNrXdJMYRhQ8R1GqgU8R5yak0qx0AxQSmGZFu0wwTIllsZ3LEZrG+v22i+6Np0wodmNdD0EzaHnQR6/7zn7idiAzVEsSQxWHpcSdESQB4liWVuWdbN0Iw/dK8DRKWisyPJS/t3EL27ko7fq4og/cVb69Z3nYOzIzlna/pS4yr/zHHzor4rI/KXfh+tXZB3bliKoIC7odlO2LxThbe8+XIL0bpnh/cc5cez+FJNvVog1CuGJp6BShfmZg4vG0Wg0d4wHcfyeqc/TjcM9rVvyChTz7PDdYk72GqVyWLjf+qvRaDQPEnsW0b/4xS+uP/7Sl750J/pyqNlrjrNGs192yhmH7aNQ7iU73ZmBUmTI7/RjQ8Vbjj3a7lxMDZfoBDH1boxrmay1QwquRTOIGSx5HO+beOgRJimXF5scGSzy0ESVbpjQjhIMgDyzvUe54BImKeMDBX78HacpejZrrZDf+/YV6u0Q27rx/7htmTS7MaZp6noImkPPgz5+31P2E7FhIKK4LddUgg7UhmS9XiRLEsP0eXnsl2TdJN0o7PmBvwSPvw2+8geyTZKISJzE0p7ri9BqmiKsz12Fiy/vLPQbxsZ6KwsitP7wR6TwqeeLUF8oybo9Z3wSS2zM8dN36qzeGrtNaGw9zoNwvd9t9lKI9b0/erDROBqN5o7yII7fX7v0wp7WszBwLQfHsvcUc7KXKJXDxP3WX41Go3lQ2PdVOEkSbNvmxRdfvBP9OdT0cpxPjVfXc501mttlI2d8ezHWdy2iJD00jufenRlnJmo0ujHXlts0g4QnT43w8JEB1rox7SAmzTLaQcyVpdaeY4+2Oxe1ksejRwcYKvukmaIVxHSihIGix4mxjYz0HkopLi80STPF8ZEytaKH61iYhkHBtUlSRaMToZRI6Uma4Tk2jm0xVi3wxqlhzh4ZYKTqU/Qd2mHCZtldtonTjOPDZV0PQXPf8CCP3/eM/oiNrfQiNjxfRM0kj2AJuuIY7wnehiGO756wniQiiDp5odCeoz1N4bWX4Q1vgQ//LTh2CuJwQ8ivDcGpR6BSk/27vuSoN+uy3NtG6O9fL+jK85FxOPmwvFbIXfOGIcUqKwOy3uTU4cvX7p2HvR7n/UivEOvUGZlYWZiRv1Nn4AMfluW9aJxjp+SvFtA1mkPPgzR+R+nuWeg9UhRVr4QBvLY8s6eYk16UytnRKY7Wxg69IH2/9Vej0WgeBPZtobRtmxMnTpCm6Z3oj0bzwLFTzniPvUah3E12ujPj2lLrtmKPdjoXtZLHE0WXxUZAvRPyl995mhenV3ltvoFSapMTvRXELDYCRqv+ek56teCy2gpRSqJnwjglTjNc26QdJVR8h0rBWT/HY7UCUyMV1loRcZyy1okouTa2ZRInKUutkJGKzwfffFRPpmnuG/T4fQ/YT8TG3DV5vd2E0UkRonuCt1+U9dMEipUb2wm74jyur2xxjC9tdoz3bxcFEudRqe2cpd2/np9PGO7F8XwY87V3ywyHG4/zfuWgC7FqNJp7zoM0fr/16KP89nf/eIt95UYMwLEd6mFbx5xoNBqN5q5xS6rc//K//C/83M/9HP/u3/07hoaGDrpPGs0DxU4547C/KJTDwO3GHu12LgA6UcJjx4Z4YmqYgaLHUiO4oeDv9FILyzQ4NVpZ3/6hiSoL9S6dKKHgmGQKwjilEyV4lonv2JwYqayf4/7YGoBunIhLvhsRp4qRis/H3n2Wk2PVAzx7Gs2dR4/fd5n9RmxcvQjf+gq0W1Is1EAyz9eWYXRCRPewA6YBli2iei+m5ehJKS667hifEMf49IUbBXSlZP9TZ6Tg6fmXdhb6e+v1O8t7jufvPCcRKPdDvvbNJjS2O877lYMqxKrRaA4ND8r4/YGHn6L6+TL1oLXreo+MnuRv/LkP8YbxUzrmRKPRaDR3jVsS0f/3//1/58KFCxw5coQTJ05QKpU2LX/++ecPpHMazYPATjnjQZSy2Az2HIVyN5lebK47zqNEnPLHR8q88+ExfNe+5boB+zkXvViZr74yx/nZOkGU4Ls2p8eqeLaF624UAx0oebzxxBAvXFmhE8YYQJxm1IouvmMzOVi84Rz3FxSeXmpKBroBx0fKfPDNxzmpCwpr7kP0+H0P2KvgPDIhcSOVARHcZ68ABpTK8Mib4E1Pw+d/T6Jegi5ETRHTS1XJH3cciSPZr2PctvfvLM8ycXW/8Sk4+7g45Yulw+14vl8d9BqNRsODM367lsvHnvxR/vWf/g6Z2t6Pfmb4OGdGj/OG8VMcrb0OJj41Go1Gc99wSyL6Rz7yEQzDWM8U1mg0t0e/YHurUSh3kkypdXf5aivkv748SyOIGal4pJlNK4j42iuzfPH71xgq+5QKDl4urD+7S/8zpZhf63BtuQ3A0eESx0bKm8TrayubxeubnYuSbzMxWGSxEWxysx8dktzEl66uYpoGkwNFqiWXEyOVHc/xXp31/edHFx3WHGb0+H2P2CliA2BpTl6rr8Kf/VeJc3n4TZAl4kZv1iWmZeG65I63GuB6Uow0y6NcZq9KUdKpM/JalokY3C/gz05De0Zy1CeOwTMf3BDw9+Msv3oJvvCfYH5G3Ny1YRgYEjEdDreQfj866DUajYYHa/z+7975Eb45/SJ/du0H28a6XG8s8ej49kVEM5XtWIxzu2WALt6p0Wg0mj2zLxG90+nwj//xP+Yzn/kMcRzzgQ98gP/j//g/GBnZvgq2RqPZO7cbhXKn6Hedh0nK9ZU2aaY4OVrh0kKLpUaXeiciiFIypVhuBZwaqzJeK3Bhrs5Cvcu73zDBYMnbdEzTi01+//lpXriyTLMrRYQKrsWZiRoffPMx3n52lGY3ph0kZFnGSjPkT8/Ng1L4rs3FuQZf+cEsUZoyPlDAd2yCOOHiQhMTA9Mw1t3sYZxyabHJUiPAMqVA8NHhMu84O8ZbTo+sn+OdxPCJgW3yc7c5P/2u/N0mDzSau40evw+QLLu1vOmtERvXpzfE3CgUkTxN4ewT4uoGEcSvXYILL8EL3xK3edCVtoZGwSuI6L40C4YFKPjP/05iS3qi8JEpUJms12nL48YqfO/rG0I77C1L+4v/Bf7g/wetpjxX+XE5Djz/NYmUOf3o4RakdWa4RqO5j3iQx++dpgu6cZcXrr/KxeUZzowcX3/94vIMXzj/TS6tXCdMIjzb5dTQEX7o7NMANyyr+WUA6kHrhvV1vrpGo9FotsNQ+5jO/sf/+B/zr/7Vv+JjH/sYhUKBT33qU7zvfe/jd37nd+5kH2+LRqNBrVajXq9Trer8Yo2mx17c09OLTT7zzcvUuxGjVZ80VXzn0hJBnBIlGU5eaLMbJWSK9SKfg2WXgaLHkaEilxdaWJbBUMnFsiyODZd549QgX3jxOj+4tooBuLZBO0joRikKKHkWtYLHUNXnxGh5XSC/stii3Y0ZKLvMrXXphAlHBotMjVaoFV1A+tATz6tFl3Mza1xebJJmitGqz8mxKp5jstiQeJiPPH2SqdHKLYnhW89Pr59b29ZoboWDHL/0+H1AbBK+I4k06Res98q1y/DZ3xKX+eCouKFf+Z64yf0CTJ4Qx/nlc5J5nilxfdu2CO1KiaPcNETUxxAhe+IYPPQYrC1JMdG3vRvCAL79FXGuD42B50lxzdVFKFfFmb2Xvn/3T+HXfxWCtuS0Z5lksqu8b+UajE1KtItfhPd+CB59ixanNRrNA8VBj1332/h9EMf/H7/3ef4/f/z/3XUdx3L462/9EX7mvR/DNEwuLs/wm89/lrVOk4nKEAXHpxsHzDVXME0TA0izbH3ZXGOJ56+fAwVPHnuUicrw+voDxQofe/JDWkjXaDSaB4i9jl/7cqL/7u/+Lv/23/5bPvrRjwLwsY99jGeffZY0TbEs6yZbazSae01POL841+DFq6ustgLiNNtWMM6U4mvn5ql3I06MlDEMg9VWCCgMFFGcEicpCkWaKZQCDMgyRStIUApWWiGmCWGcEcYpSsFrc3X+5IWrJGlGlskcXphkoDbqvNU7Ge0wwbIMkqESlmeQpIpGJ2K1HZIqBSiqRYeVdkg7TDgxWsF3LRzLZKTs0ejG/NhTJ2gFCWGSMjVSpuw76/EuxRGbK0stnjs3Twb83iYxvEAQJ1yYq7NY724rhm93fgBKnrOp7WMj5Xt+N4FGo8fvA+D6NHz+MyJuD47CUC5GT18QV/NexeiZy/Db/xfMXZNM7vqaiOhJAsUirCzB0ryI32ki21iOPI7CvBEDSMF0JdrF9SQPfeG6COnlGpx/ES6dk3bDLoxOQnUQCkX5509JxMt3npNtdhO7kwQ+9zsi6JuWCOdZtiHmqwzaDZhNoVKVvi9chz/3Lnjy2XvvSr/Vuwc0Go3mHvOgjd9JlvCvvvrbN10vTmN+MPsas40lJqsjfOH8N1nrNHlo+Oj6d/KyV+S04/P5C98C4ANnn8I0TJRSzLdWcC0bpWC+tcyR2ghlr8hDboHXlmf44oVvcXJoUke7aDQajWYT+xLRr169yrvf/e71508//TS2bXP9+nWOHz++y5YajeZe03Nav3JtdZMz+8RohVRlfO/yElcWmnz0XQ9xcqzK7GqbF64sY5sG8/UORdemEyXEqaIbpTi2SScUgSdTYog0DMiAKElJUwUG+I5JnCoc08RxTJJ2SqMTrzvOgzhDqfyWzb77YuJEsdQMePX6Gg9PVjk/16AVxFQLzvp+K76NQcpio8tyM6DiO1iWSaVg41gW11c6rLVDTo5VKHnOpvNhGAajFZ8ri02a3WjfYvhCvcvVpRajVX99m61tTy+1WKh3d42D0WjuBnr8vk2yTMTmVgMmpzZm/PYrRl+fhj/4LRHQS1XwfUhSabddh05LBOko3BDQAdJ4S0P5xTKOREC3bNlvpw1XL8rzJIIYeb1UgZVFiXE5cVZiZQxDimvOXRWBuT9qZiuvvQRzMyKap6n0McvyrqiNcxS0JR99YFgE6wsvieO9f4LhZoL2QQve+717QAvuGo3mEPGgjd/fvvoyS936ntadaSxxaeU6SikurVxnojJ0w3fyVtQlyzJU/rjqlWiGHVa7TcqufD9f7TRphh2qXgnDMJioDHFxeYbZxpIuXKrRaDSaTexLRE/TFNd1Nzdg2yRJssMWGo3mMNCLHVnriFhsWwYDRZfVVsj8WhfftbAMg2vLbf6vP4p456PjfP6FGS7NNwBFpsAyDcq+Q5hkdKOUgmuSZgrTEAEdemK6gWFAkgsssWlgmQatMCLpKNphsq6Vd6N0Q0DfggIanZhOWGdmuU2YpDiWSTcyyTJFwbNphzH1TixOeMB3LUzDZKkRYhgidEdJiu8Utj0vvmtxbTmiHcYcGSrtSwzvhslN215qBnRDfX3U3Hv0+H2brCyICDs4uiGg99irGN0T4ht1caD7vri4HRNqg1BfhjQSV3q6j/cl6IKdTxLathQhLZTEdV5fEVd4HEMciojcbspEwOSUFCpdW5Y2duL6NHzls9Btb9OvLedCIU512wEjEAG61diYYJi7trugfVBxOf1938/dAwe9f41Go7lNHrTx+8sX/mzP66526vzH732e8coQK506k5Ubc+LjfNwy+h7HaUKapdiWjYGiHaXrywAKjsdCa5VOFNzewWg0Go3mdce+RHSlFD/1Uz+F53nrrwVBwN/7e3+PUqm0/trv/u7vHlwPNRrNbdEfOzJS8bi+0qbsO2IajFOCOMUwYKxWwLFNLszVeWVmDcsyMA1IM4NMKdIko94OqZY8OgG0Q8kvNwBl5JG9iNiulMqjXSBNMzJl5MtMUEq2QbbZDYWYNC0jkz5kGbYyiJKMNItodCJs08TL3e4KcGwD0wTLMJlZaeNYJkGc3OBEBwiiFNM0yZTCd7a/HO4khhc8G9e2dm3btS0K3r4usxrNHUGP37dJ0BVRdcjbfrnr31yM7hfiVxfFNe56IjgnsQjqWSSRKfshTSRb3bLEOR3H0m6ayL9OW5zUXgF8S6JZVhZlP5MnRLT3t58MXBehV5eljXSbdXoX9PXnhuzXtCSnvTfB8Mp34dv/VfZdrkK1Bqa9IWi/6e3wwjduPy6nx37vHjiouB6NRqM5QB608ft6Y3HP61qGxWRlmMurc1xbW2C4OMDR2uimdRxLvoervseOZWOZFkkunFumtb4MoBuHuLZD0fVv82g0Go1G83pjX+rOT/7kT97w2t/4G3/jwDqj0WgOnvm1Dq9eX8N3LBrdmCTNKHo2q62ANFMUXJsklVxz37EIInGKe7ZFkCmSVNQR04A4g2YnwjIhysWURIGpwDRFdM9ykbx3p3+SKoyecJ67zk0D0j2WNJYvvSYKKQjU7CYYBvQ0bYOMKDGwLZMwTgmiFN+xGa8WuLrcYqjks1DvcnLU3uQ0V0qx2Aw4PlxmpR3cVAz3XIu5tc56IdaRqs/xkTIX5uoUR7Zv++xEjbHaDuKURnMX0eP3beIXxJUchiLCbiUKdhejQQT2xppEsHRa0pbripCcJiKk773W+2ayVC66WSZicasB3Y5Er2TpRhyJ64noXSiJQ336Ajz9PnGMb40xGRjZEKHPPA6zV6Xvm9hyK1Gv0GnQgdqQ7CfLYHUJvvbHEjVjGLC8kAv7vux7aR7+5DNybo+cuFHwvn4FvvZH8Pb3Q7G0t4iV/dw9MDR2MHE9Go1Gc8A8aON31S3dfKUcA0WmFBPlQS4tX+M7116h7PpU/Y14xrJbwMyv22VXxuiKV2SwUGGxvYpSMFYZpOLJ2K6UYq65wmMTp5is3uhs12g0Gs2Dzb5E9E9+8pN3qh8azeuKXgHPnuA6Vivck+KS04tN/sufTXN+to7vmCgMWkGMQhHGEo9iGpAoRZYpmlFCqhSeZdEKU7JMxG+MDW0n2qJ+95abuS9dKfLCn/ny3KUYxhkhoqzvVyYyTSCDJBfm+xtQeZ/iNGWx3qXkO9iWwcxqm1YQEwymBFHCWjtivFag5NtYhsFSK6RWcPngm4/yp68u7CqGj1Z8vvTida4tt4mSdL0Q6+mxCov1LleWWoxWfHzXIohSFpsBtYLLM4+M66KimkOBHr9vk6ExifWYviCiav//a6VEJJ46I+vtRH0VFmcBJVErjVURspOWLE+znbfdC6a5EbdSX9l4vXcRjkLJSbfdDdFdKTj9yPYxK5UBmJ+RgqSdlgjKzbWbdUJy0cs1OV+GIRMMnRYszIpbvlSVfjbWcqE7L7AaBfDIm24UvFsNOZ7p12DmihQu3UvEyn7uHjiIuB6N5iDR2fyanAdt/D4+PLnndTtJyFdee55OHBIkIXGW8Llzf8rUwCRnR4/j2y5zzRXOjEh2/MVlyU0vOB7j5SFmGougFBW3xGJrjVSltMIuQ8Uq7z/zlC4qqtFoNJob0DkDGs0B0yvgeXWptUlwffaRcaZGK3e1H5/55mXm6x18x6Lo2hiGOMmXmyGmYeDYNlmmMA2JQGmHiRgLDbXxumWQZtkm57gJFH2LdpjmMS0SzWIZ5MK8gWVCO0pIcse6lQvxtyITdaOUdEv2S66rbzw3DBzbohMmdKOUobJL2XcoF20WGwGtepfZlXZeeNTlzSeG+NEnp5garWAaxo5iuInBcisUMb3q4zsFgijhxellXpur87aHRllphVxbbrPUDHBti7MTNZ65y++3RqO5g5imiLYrC+JKHhzZEH5Xl0Q0fusz24tcWSZO6+9+XWYdDVuiTgxToleyjBumFg1j7650w8wLfW6XtcJGMVDDlHysNBMBf2hMCo6GwfYxJlcviuifpdL/JBEnexRu1wk5BpVCoQynHoFKTfa9sij7SBMYHJZjri9Ln1xfHPhpLOvMTouDvVKTZpt1uPSKLDNN2d4r7C1iZT93DxxEXI9Gc1DobH7NA8zAbnd0bSEDmlEHwzApOB5ZlJGpjJnGAsudNR4aOc6bj5zl/WeeAuAL57/JpZXrLLRWcW2HJ48+wvTqPK8sXCLOUhzTYmpwgg8/8T5ODx+9Q0eo0Wg0mvsZLaJrNAdIT7iud6MNwTVOuDBXZ7He5SNPn7wrwmp/DvrDkzXiVLHSEnf0WK3AtRUp1Glb4hx3bZN6J8IyDCzLIEmkYKiROxgNDDA2btu3LAPbsii54g63TINqwSZJM9JMol0cyyRJWc8b3Gt8y1ZcS9qL083u9n5NXaJiFEGc4lomGIpGN2ZioMjCWoBtGZQ9m1rJZXKwSLMbEyYbEvzUaIWPPH1yffKjJ4afGa+y1olYagacGJFbQ+vtkOnlNvV2SDOIub7S4dlHx/nhNx5lsOzd0zsPNBrNHeTIlIi2PXFrbVlE2KkzO4tbPTHs8qtw5byI50FbYlEMQ55jQLalQJxSG+L4rbJViFcZWLYUH7Vd6YNtw/mXRKweGJbXVJYXJh2AS+fg3At5AVRHtrfyiJhe244rsSxhKBdjx5Htu22ZYOgt94sinLcauYDukc8qiDBvOyIYzl2VzHTIRcRQtu1lve81YmU/dw+sLNx+XI9GcxDobH7NA85L1y/ta/1MKcqOS6Yyim6BsuszWKxSdHxODk3yk0/9N9imSB4nhz7MbGOJThSw1F7jT179BiOlAU4NTWKZFmmW0gy7fOXi8xwfGNdCukaj0WhuQIvoGs0B0S9c9wRXgJLnUByxubLU4rlz8xwbKd9xgXWh3uXqUovRqo9pmhwfLlFvhyw1A4qezVjVY26tSydMsNfzxg1c2yTLFEkGtiF33qepPDcM1guJAoRxSsmzKfsOa+2IKMloBDEqU9KOgiTNcEyDVKn1PHS4sQ7dTpgGmJaJhbG+vmWAbZlESYZhSFtZ7nBP0gzPNgGDNFXEaUacZtSKLkmaEcYZtaLHkcHSDe/H1GiFYyPlTTE8Sin+ny+fZ7Tqrwvor8ysESRy7K5t0Y0SfnBtleVmyEeePsnEwDYCjEajeX1wZEpE273ELPSLYZ4vbmbPl2iTNBEBO0s3O8j7he+egN7/mmHmAnv+uDeWKCNvp+/qup2T3TRFCC9VJJqlUJKs804TFq6LuG1ZIhgHXWkviWV9y5bHWZaL/8hf2xaRuzoo7a8tw4UXxZ1/4iwcPQFf/4L0b2VJBGnbYX00MfNJhEJJ9tGsiwAP+bkrQtiXsd47JzeLWOndPbA8L5MYpSoUi9LnteXNdw8MjEh8zbWLIrwXy33ndo9xPfcSHf3x+mC/xXA1mtchLy/sT0Q3MWUuNkkouj4DhQrdOOLU8FGWWmu8cP08Fa9E0fWZrI5wtDZGpjK+9Nq3mW0uMVkZwbUdKl4RA4NxpXhteYYvXvgWJ4cmdaSLRqPRaDahRfRDwGHJz9bcHv3CtbHl/TMMg9GKz/RSi4V69wahdbfPwK18PrphQpSk+E6Beifi6nKbOM3oRgnNboRhiFPcc8U97jkmRdemGSTr+kuiII2zdfG6X49JUoVSGaEpuelRInErWaqwTIM0A4UI5xjymsqF9FTtTUDvEccZ4ZYNsrwzPW1Jrb8OWaYoFxyyTBFGKZWCi2FI4dFOlBAnGYa//fthGsam9+bSfGP9PCqlmF5uEyQpA0UXMMhMRRDDWK1AvRvdtUkSjUZzDzHNm+dibxXDum0Rm/tFatuR57BxgbVtiU0xDYld6V1KDAMMC3xPLnRhsCXGpbfiTa6uSSJ9azdEGE9iEY49X2JYCpasszgnQn+pLKJ3HIvA7friDFdKzoNty+NyVbLT6yu50zzPW283YGYa2i3wS6CWIAjA9/PzlIrL1rTg+EMS89JYg1ZTnOFRKH30ChsZ6z1uFrHSK2gahlLIdOaKbF8qS/b6e35UJkV6dwvMz0hu+9w1ceWPjMs5bzdElN4prueg2a8grqM/Xj/obH6N5ob4xpvRibtEWUTB8RgsVHAsm3YU0A4DLq9c55Pf/M94toNnu5waOsIPnX2aheYKf3zuG4RJzGx9Ccs0KTo+E9URhks1xiuDXFyeYbaxxNHa3Zs8zVS27pTvif5axNdoNJrDhRbR7zGHJT9bc/v0C9fb4bsWS82Abrj5tv3dPgPALX0+CrlLeqHRYXqxTRAnVHyXgmOy3IrohAkKhadAqoYaLDZCkjTDNE2sPAN9u6+xCrBNg0rBIcky6p2IVIlz3XctoiQTl3jfBoYhLe3zezGZutG1niowcsFJKRG+MyUFUI08gqbgWsSpiPaWJT1J0gzLNHFs+TK60/ux3XkM4gSloNGJKHk2PcGq16ZrW4xWrB0nSTQazQPGVjGsUBKheWlOLmyuJ9EpkOdTZSKuW1Z+YbOAWNZVmQjmlikiaZbJa5sKke7x4qoywJT2Tz0Cr3xX2ixVRBDvCXe9C2oUieDveiL4p4n0xTRF3LUteX38qBxvtyOu9JFxcc2e+54sV0i/bVtc5+3WRp8MQ7aJAjlfSuXFSJuyTWUAjp/eyElXSiYlWs2NXPWtXJ+GL/8BfP+bIsR7BclTL9dEuO/luvffLTA6KW73S6+IO3/msojY1SEYP7a383u77FcQ19Efry90Nr9Gw2ChvK/1U5Viqg2hOU5T0izjwtI0QRIxVKwyWhqkGwe8PH+ZVxenaYRtVjsNRstDZCpjpVPnemOJiyszDBVrjJYGcG2XThQc9OHtyMXlmfXM9jCJNon+OlZGo9FoDg9aRL+HHJb8bM3B0C+4ljznhuVBJCJ4wdv4bze92OTT37jEQqNLtegyUPKwTLgwV+fiXEOicpXa9+djrFbg6FCRP3lhhixTVIsOqcpYaUUkWYZtGZiGSZxm+I6RF+7MUEqR5sK0eMnFELkemaLkuWVCJ4yJErUu3SQKHAWeYxGnySZJRymwTeAWC4vaxkZkC0gOu5G3m+YCumOZ+K5FmKQsN0OODZfoRindKME0DNphzFitmIvg278f253H4yNlLszVqfoOaZat5yoqpehECcNln5Jnkyl1U1Feo9E8IPTEsEFX4luSGGrDUtCz1RQRupd7Tp6XhRIXOMiFVlmQ5kI7StZ3nDx7fB+FR7fierL/i6+I69uypXBosZwL1fm+bEfE7GI5zzQviKjdWBUR2/UgieS4VpdzR7kpgvjlV6G+ujELqlLZNkr6st6NjfUHhkUcjK7D2SfgLe+Q5S9/RwTiXkZ6sy4Cc7MO7aYI7N/8Ejz57IZYfH0a/uTTcOEHsvORcZlw6LZlEuDkI9Cqw/Nfk+X90RlJLP0rVURsrw3BqUdhbUnE6jspSu9XENfRH68/9lMMV6N5nTJZGQVe3vP6BgYmBlGasNBawbNcFIooTTg5NMl4ZQgDg7JX5LTr8/nz3yJOE6p+mXbUYS1okWUZRccnSmOCOGS+uYJhGCy365wdvXPH2uPi8gy/+fxnWes0magMUXD8ddF/trnMx578kBbSNRqN5pCgRfR7xGHKz9YcDP2Ca3HE3hTpopRisRlwdqLGWE1+/GRK8fvPT/PStVVMJA7GMk2qRZdjQ0VevLoKCp59dBwz/wG80+dja+RLECXMrnZYbgWoTNEMIrJM5S5ycU4XXJu1dojjuyxH3dx4aGCbueaRbIjW/ZEppskm8byfNM3wbBvHMiTypX/hLQroBmBaBioFE7XeTn/bpgG2ZZCkmRQ3TRWZUnSjhEYnRqFwLItqIaHRiagW3Rvej+0wDYNnHxlnsd5lvt4Rg2SaYmDQiRJ8x+Z4/v83CJObivIajeYBwS+IIHvu+yKoZ6m4v11fRLJuF8gjUfyCCO5JDCqW7bNeHrq5IZj3nOGmCZiy/r4xJAomSaQfjgtDI7C2KqJ0HIowrdSGW3t0Qo4h7IrgXazI87VliUaxHVi4Jm1btgjOveKhsJHtvl5ENX/dMPKLty3rtFuyj5f+DC6+LOeqMiCvhYFkrl+/DEFH2qkOwJETcOEluPoavPmdcHQKvvElWF7Mo1tqsl/TArsm4vn8NTh6Ugq9AgyPb5zjuatyDgZH5PxGkQxCk3dYlL6ZIH79Cnztj+Dt74diaaMYqo7+eH2xn2K4Gs3rlLWwse9twjSGNKYbBbi2g2kYjJYGOT18DCO/e1ShmG+u0I1D0jQlTEJWuk1UbpDJlMK1bKIkxrVsHMvhxbkLPH3i8TsaqZKpjC+c/yZrnSYPDR9d//1Y9oo85BZ0PrtGo9EcMrTac4+4nfxszeGkX3C9stRitOLjuxZBlLLYDKgVXJ55ZHx9UuS7l5b41oUFlIJqwcWypBjmSiug3o4I4xTHMulEKWV/40vT1s9HFKfrkS9hnNAKEhbqHYJIbqHPlKITpuuis2uLW9y1pR+NboxSvaiVPCal77gs0yDLxKEOEOf6R24sl5pwvTp2QJxmuaAtDvHe8nQ71X0PZMj2tmXIZIJSdONsPT4mTDMMpTAMmSBwbJNulHJlsYVjWZimgWWa1IoO7TDm+9MrDJV9JgeLm96PnZgarfCRp0/y1VfmWGnNstwMqfoOw2Wf4yNlakV320kSjUbzABMGkg++tixFKx0bOm2Jc0kSEY0tCxxPxGrLyh3auWM7S0U0c71ehWf5l6W5gLseli63BvWep7vdCZOv02t7aESe2x4MjYqA225Kn5NY9mda4jwvlMAqSl87zQ1neLsNjVckmqZQBjsRx3dP9Fd9U6e92Jr1fueieqeVu9hzET5J5LxkqYjefkHWWVkUAb1UEcd8ZUAc8KtL0FiBl78rcS1RKP2LQhGc+/fvF6GZC/xhfpu+l0dndNtyDvySrGvZkHVzd/oeRelbLfC5myDeashnafo1yXWvVEVoPTKloz9eb/SK4a4syKTN4EhehyCQz3l/MVyN5nVK3F9sew9kqPUR0TQsio5PmESYvQLYwGq3yaXlGeaayyy310iyFM+287lsCwyDKImJU7l7dbBU5bGxU1xauX7Hc9FnG0tcWrnORGVoW01gojJ0T/LZNRqNRrM9WkS/R9xqfrbmcNMTXHui9lIzwLUtzk7UeKYvxzxTiq+/Ok8Qp0zUCutOc9M2qFniku6GCdWCQ5zc6N/ufT4uzjX49muL1LsRnmPS6ERcnG/SjpJcwDYwDAPLhCTLc8MRoXu1FWEaxnret0KE8a17i7dRvy3TkGKhmRQe7aUKmKaI56690dJ6YdLbOK+WaVDyHAwgjBMcCyzLRGFgGQaObeHaFpWCg+dYzK62URhMDhQ4NlxmuRnQ6MakWUY7TBgqw1/aR1zS1GiFj46UefTIAH/wnWm6UcKxoRIFz6YdxNtOkmg0mgeULIPvfl1iULIUwg4ktkSQpKkI5X5RokKW5iQSxXZlfb8gwnAaiyDuSBFjHC93ZOeFQXtutJ6gbiBFMHcV0fuuwrYNJx4W8bm+IuJcL8ql1QQvzyh3HOlDty37KlYkviWOROA2DEjyYqTdFusRLVmeudWbGIANZzqyGn4xd3uH4mbvRdxYlkweuJ7sw3bBs0T0fuRNIpAnCVw+J+71nkicpSKy9xz0USACZKkvX7cnjAdtiaiBjeiMJJE+FnLhJU1yB3sez3YzUfp2CnzulIXdrEtGexjI+Rkclnz36Qviyk9iHf3xeuPIlET39D5La8vyPk6d0cViNQ8EzbC9723KToFEpZTcAg+NHGe+uUySJlxamUENHuH7cxcI4oiC425spEwgxTYtqa1k5Pnqps0bxk4xUR3myurcHc9F70QBYRJRcLap7wEUHI+F1updzWfXaDQazc5oEf0ecSv52Zr7g6nRCsdGypviVcZqhU3i6kK9y2IjoOjapErR7ykyDIOSa9PsRCSZWi+E2U8QpTi2yYtXV6l3IwaKLueu12l3I6I0xeqZEnOLuGMZWIZIKEmWUTQtgjjDtS2ysH/n7EntzjLJzDUMA5Ur6Cag8siY3l36Gw73W8cACo6Fbcq+4lRhGCZpqrBsRdGV6Jw4zWh0I8xQnOeDZY84VVSLLpODRdphQpxmxElKkip8x7rpvvsxDYMnHxplpOqvT5Ist8JtJ0k0Gs0DTM9VfOSEiJyzV2H2ioidrgtWQdzPUw+JgN7tiLhrOZIjHod5jIsp4qrtiNvcL+YifJ5XHuYxMRi563sf7r1CWYTXYkn2OXtVXONhmIvHpji9K9U80sSQvtSGoVqTvHHbEfHdMmWbVlPaznrxM1vHrjy+JstnbVUm22WpiPQgyy1bzpvnyzG3GhIpE3alv4USnH9J+hpFuaNc5QVXDTmnjitt1Vdkm9742zu2VhPOPC7bXb0o0Rm2LQJ+kkohjqAjEx2F3M2+myh9uwU+t8vC7sXLRKGchziWiYX+iJc4lPaPnNDRH68njkxJbNCt3NWg0dzn2Gp/388BMJBIR5Wx0FyhGXaI84nbII4I4oihQoUgichQ2KZFwXGJQzESVbwimVKESYRrOVT9Et04xLUditsVrz5Aiq6PZ7t044Cyd+OE6N3qh0aj0Wj2hlZo7xH7zc/W7I2t2eBbxeu7hWkYu8bwdMME0zQYKHustUMGiv2354Pvmrkz3KDobv4y2ft8TAwUWGkGjFQ8Li20COIExzbJMnAscVUkWSbO81y06CW2hLmA7lgGtm2Sphlqy533u6HI41nUhrvdsU0MFEkm7VumBL5Et5rj0rcvpWRCIIgSlFL5vgyiNMOxTDkOJQVSXduk4Fj4jkUriInTDMMwKPsyWZVmGVeXWlxdam37ObnZZ2gvkySaB4/Dcu3RHAL6XcWForiZ68siSruePO+0RBw1crG62wIyEdelEMRGIcwszYXhvCBoHIsTfB0l6+/qQu+RZ5DHoQjMabJR+FQpeW4Y0i/HERHWzkXtJBbx+fJ5EaxdV/ZtmFCqiitc5WI2Svpt9EaIvsyv3oOgu9mdTh73omJYWxGR3nHFOe44srzbkWNtNaSNTks2NY08c96BLJHImYHhjez2clWWt5vS7uAonHpEhPHZaRGk/aKI6PUVeZ88X5zkvbz0nUTpgyjwuV0Wdi9exivK3Qz9gr5hSATP4pycGx398frDNHWWveaBpB3vP4KqE4dYpsVoaZCyV8S2bGYbS8y1lmkELQYKFZphl3bUkbxz0yFRGbZpkWQJSZahlMK3XXzHJ04TFrstHps4xWR15A4c5QaT1RFODR3h5fnLPOQWbtAE5pord6UfGo1Go9kbWkS/R+w3P1tzc6YXm+sO4SgRJ//xkTLPHkKHcMGz8WyL8apPECasdSJKro1tmSRpRr0bUfEdjo2UmF5ur38+ulHCteU2RdfmyGCJ2ZU2za7BUqOLZ1uk63mzat0h3hd1vo5hwFDZYaUVkWYZpgVDJZ92mNIK4n1Fr1iGCOgKgzQTh/fkUJGia/PStdWNfd7YjT3TjRJ8VzILDcPAsUws0yRIIlpBgmUauLZJyZNzaFsmYZximSaOtVlAWKh3ub7a5Q+en8632/icAHv6DN1skkTzYHE/XXs0d4GtruI0EaG5WJK/cbQhenea4nwOu+LA7om9QWcjV9zIbyOKgg0H99aL6Q0C+pYrbs/hbTsi+kaBFPDsifFGHsNiIPEn48eg3ZAinGcel+VpKq7t1UVpJwrkeFwvP2ZvQ2zvCc9K0T9BjMrk+LLchU6/yN7X325bxO/BEdlHmomgvrIokwlpIhnzKsuPKRWx38xz5oO2iPq9WJhOW86x54sQ7nrw9c/LZEerIY7fOI/QiUKZZBg/KhE73fbuovTSPFx+VdrutkXo7n1320+Bz1MPS+755Vdl31Eo/5JYIlx6gn4P1xcB/W3vESf83Y7+uNX8d41Go9kF33ZvvtIWTMPkWG2MilckSiW+0UARpwn1NKEZdrBMk7JXpOaVKXlF2lEXpTLiLCFIQqpeiYpXIslSZptLHKmO8v4zT93xYp6mYfJDZ59mtrnMa8szTFSGKDge3ThkrrnCYLFyV/qh0Wg0mr2hRfR7yF7zszU3Z3qxyWe+eZl6N2K06uM7BYI44cJcncV6l4/sI//6btB/J8IjR2pcXenQ6ER0Iilo41oWT54d4S88OcWf5p+P6aUWq+0QAwNVgv/68iyXF1qYJnTCBNcWwdgwJcc83SVHpR2mTC+112u8pRksNgNcy8zz0/d+LIkCI3eEW7ZJueBQ8R2iNMMyDDJDrWeu7xczj4URDDxHIl08x2Kg5GGZBq0wwUBhmga1kkucZHiOxUor5NhQiVJfJNJaO+Slq6sygVEr4Lv2+ufk4nxDzJOo++IzpDkc3G/XHs1dYKureLuYEL8ogrDKIItlO9eVaJI4zAV0JA8cQ4RU2FKoMxe9e0UpLFtEVtuFiSNw/SqQR7/YjmwbdHPHebrhAu8J3mkeDdNzuveiVHrC8Oy0iMlJIiK044qQ2mnJelma99PYcK+rLeK4aUv8i4HEuhhGHknDRl8MU/razN3mjgeXzolgvLYsrv4okj4axsYkRaZy934qj4O+oqDFMjzyZnj0TdLW2pK40Z2wLzKlAMcelWOauybHm8RQHdhZlL4+DV/6fbhyXkRtO58ImTieZ8yzvyz1bgeaq+KG94vSl8oAHD+90V6PXrzM8dPw5nfcXUH7dvLfNRqNZhdStb9fDAYwVRvHczzmmsu0wi6duEuSpetTtAYGWZbRCNp0rYhUZRytjtJ2izTCNjW/TJql1IM2Q8UKTx59lB86+zSnh4/eiUO8gdPDR/nYkx/iC+e/yaWV6yy0VnFth8cmTvH+M0/dtX5oNBqN5uZoEf0eo6Mhbp9MKb52bp56N+LESHn9NriS51Acsbmy1OK5c/McGykfmvPafyfCWjfi1FiZNIN2ENPoRozVivzok1NMjVaYGinz3YtL/MF3pjEMODZcIo4zXrq2KkVBEV3GwCBKMkwMwuzmKniaQcG1cHIhOs2gm2XYJvt2jSsFtm0xOeDTjRXzqx2JickyLEOEdhDtBJVHwdwEyxDHfpLHsbz11DCpgnMzqwyWPBxbhPQkUyRpRpop1toRRdfCtSxKnoNlmXRCcbF3w4TvT68A8MapQUp5vEvJcygMW3ztlXkw4NlHxtcLvR7mz5Dm3nM/Xns0dwHTFDFxZUGE2IFhEXHXlkREdvPikXEIg2MwPyPPLVsupkEuZluWCOK9j47niUgaR3kWeR71pdSGo9zzASUiaqspAnUUbTjElRIR/IY+W7Jdr61mXRzUUSiCcrslgmkvoqXbzbdBROw0lf4Y+UU+STac9PRnhSkRh8mzy7Msj7UhF8Iz1md3VSL7LWRQHYSHHpN1py9AUN/Iju8J9T0xPk1ZH8FMU2JUbEeE3muXJdJlckq2u5gX7RwYlr/tPCv9yAlxhFcH4an3SBtbXeS9HPTlBRHK/YL0p74iYv6pR0X43leW+igEgdwB4PkwOrlR1LWxKsfRi3Tpj5e5m9Eft5v/rtFoNLtQ9fduPPBth0wp6mGLLGiSqix3oqf50Cm/aAzDwLNdojQhSRPWui0sw8SyLI7VRjk7MsWVtXlODR/l//WmD/D0icdvcH5nKmO2sUQnCii6PpPVkQN1h58ePsrJoQ+v78N3XAwMunHITH3hwPen0Wg0mltDi+iHAB0NcXss1LtcXWoxWvU35ciBFOkcrfhML7VYqHcP1XneeidCLwbijVPDN9yJcG62jgIeOTIAwIsLq6RKcXSwyOxalzjLUKQUHIs42btYF8YpIZuLfyoFbi6A79WRbhjQDmMuzMfrbfh5lnuvhhyIcL9XHAtGKz5xmhHEKc88Os43Xl1ktFqgGcTULBPPsRip+NQ7EZ0wptWNKXk2T50Z5fR4lYsLzfW7PNJMYZsGZ48PMlDeXJynE6VkuV2+E6WU/Y0vqYf5M6S5t9yv1x7NXeDIlIiJPbeukzvKTROGc+HcdkQIrg2KWJzk+edKgW2JKOr5IhyHgbSbJCIyG4jo3sMwRZQ2DBHqm3VZXiqLqNxs5AJ1XtyzN5NpINtYttz20ytc2lyDOIAwEud37+I9OCKxKK2miKiWJetblvTNtmVdlW5ExFh5zEoc5WK6EkG5GW64yU0zF8G3ONcBRibhxJkNJ/bwGLz0bZi/Luc16Mi+ewVJ+7ePI7h8DiZPyDkMu/Dwm6Tv06/JJIdhyDLLFmG652YPOvI+teob7vKe07o/B/3EWXHvN1ZkcqNck23mrkKpsv8s9WIJTj4sfVOZbH/l/MYdBYWixLuMTt79zPODyH/XaDSaXZitL+x9ZdVzmHdQhsIxbdIsycVmg0xlcgcvijhNsU2LTGUoFO0ooFYo41gujajDnzv+6I6u74vLM+su8TCJ8GyXU0NHDtytbhomR2tjXFye4Q9f+dM7vj+NRqPR7B8tomvue7phQpSk+M72RVh912KpGdAN91J07e6ylzsRtgp1rSCm0YkoeTaOZTFWUyw1Q7I0ox2lYCjMXhxt3756P2f7deysT0dZF7oVqCTDtgxsQ627yHejJ7YrRIcxgG64cRulY0K8DwFdOmzSiRIcy6TsO5imSZxmnByrcn62Tr0bUXRtHNtkoORiGhCnGR95+hQfenIK0zB46uzY+rldagZ87rtXGa3dKGbGSS7sYBBvo/Qf5s+Q5t5xP197NHeBI1MiJvZiNuqrEiVy8RWJQClVpFjk+LE8M3tRROG1ZdnecUU0DToi4rYa8rplicjr9OWN9wTLJIbH3iT7ff6rUqCzVBFxmwKoTp5Fnhcj7RUCNTIR33txKlkq0SKGCYYFhYII0GFXROIsk5zxKNyIkTEMKJSlv04hj2rJxOUNImh3WnIuXD+PXUll+96/LJX+KWQCoViG46fkmBtr+cSBgrFjIuSrDEJTjj+Jb4y7cRyJ0Zm7JuJ0msgEwXzurjcM2Y9SMqERdmXdVl2EddOEgRFZp99p7bryng2OyjqTxyWHvVUXp73ny7m/ch6Gx7cXu1cWNtrYeqeKYcgdCxdfkTiZwZGNuxBWl8Qh/6an777j+2Z93mv+u0aj0exAlMZ7XjdTGQXHI84SLMPCNEyUaZOqdL1OlImBYZiYpgjuiUpxLJvBYoX/7h3/LY+MndzVWX5xeYbffP6zrHWaeV65TzcOeHn+MrPNZT725IcOVNi+2/vTaDQazf7QIrrmvqfg2bi2RRAnlDznhuVBJA7vgnc4P+43uxNhq1AXJxlplmGbcjxFz2EwU0wOFllrR9TbIUtJSKbUJlHbNLZ3gpt9CnpPL8+AaC+ZK2zeDnJNJn/cazrOdo6I2e51A7AMk2Y3ZqjsMTFQZLDk4doWnmPy6NEBppdaNDoR3SjBMk0Gyx7VgsuTp0e2nZToFXPd7nPi2CY9MWprIVI4/J8hzb3hfr/2aO4C/TEbx07BG94CF16Cz/0HcVYPjmwI0EFHYjEcRwTcJJEoENcXob37qojMfj5eRKGI7IYJaR7XUq7BMz8s+zn9KHzlD8SVniTg+yL0rselZBtFS9NYBgNF7iIHihXZX6EsAvTygkTDNNc2xHbSvB1L+jU2AdMXN5z3YWcjVqYncJum5JO/+gIsz+d9yTPge+J+L+/dsiVWJQjEad/Lhnd8ed7bTy+DvZ9elMz6+e1KP2auQJbIxEQYyL5NS85lGMD1KyKC+0Vp03VvdFq/8Sk5F0N5NE+lJvEts1dlsiPN37vxo/Dev7i92B10N7fRj1KwvCj9mTwhQnq3nTvuLZlouXZJ+nE3Hd+79Rlunv+u0Wg0N8Fxbvw+tROZUgwWKqx2m5iGQaoycZorRdrnQs+yFNMwMC0TD5PBQpVjtXEeGTvJ2dGdJyMzlfGF899krdPkoeGj63cdlr0iD7kFXlue4YsXvsXJockDiVq52/vTaDQazf7Rv+w19z39RTqLI/amWAWlFIvNgLMTNcZq27tFD4JMqTuSa58pRSuMiZKUlVbASMXHsU0s0yTJMhzLIkkzLNNkcrDEmYkal+ab1DtLhHk+bM9tvp0m3l+T7lYKf960/+R36vf1o3/fRv5gaz8MZBvDMqgUXd5wbJA3HBvkxelVLszVOTFS5onjg7TDhDjNsE2DpWbAWLXAF1+8zrXl9no8zvGRMs8+Ms6xkfKOn5Oia8n7Zcjjfu7WZ0hz/3EYrj2a+wzTlMzth14SZ3OPdRF2WhzepgWdpmRkHz0pYnEvGsVxN5zpUQhZJK5u14O3vEMEdNOEx58Ukf5Lvw9Lz4lQnuYCuep9Vo0NIT1JNi7GpiX9SBMR9+u5AzzJn1uWrJOZst8sk9eKFdl3FIlQHUXSnueD4WwUTV1dlFiWOBSRPc3v1rAscZ/7PizNS45802KjuGoumGd5wdSeO367ESxLIVayvuPkUThKYleGJ/KCr7Zs77jSB88TB36xKq/XhjYyyPud1mcfzwvBhiKw997DclXE7nZDln3gwzB2ZPvPgl+4sY0e3bZkoPtF6XuvOGr/5+heOL536zPsnv+u0Wg0e+Ds0HGm1+b2tG6mMiaroxiGQZBEBHFEqGLS/EfHplx0IEkSTNOk7BapFcoUXX/nxoHZxhKXVq4zURnaNrZvojLExeUZZhtLHK2N7dDKjX3eKVv9TuxPo9FoNAeLFtE19z39RTqvLLUYrfj4rkUQpSw2A2oFl2ceGb9jhf2mF5s35Jr3hNv+XPNbbXd6scncWpeL800mB4tMjZSpFl1WWgG1gkEnShgu+5Q8G6UUlxebIlwbNwrXW+kJ1ltXM/te26+4fsP6CkoFmzSDLMsYLLkstUJ6xeZ81wYMgii/9dIwKHs21aJDEGdMDBR55pFxbNO84X0uuBZGBIvNANs0WW6GLDYDRqs+vlMgiBMuzNVZrHf5yNMnd/2cnByroBRML7fv+mdIc39yr689mvuUrYVHB0fEwdsrJHriITj1iIi5zTWJQHFceOxJiSGZuwbdFlSqksXdaogYfOIMvPtDm53JR6bghz8i+1qeF7E7DDZc2WrLld5yNhzdngcRefHPPJO9Fx9jWLmjXYkwXyiJmL62LANPt7HRhyDL42c8Ec0rA7Jdsw5vfFoiS7odEYsdR7rSbm1kpBdKsl1v92mSO71DOS+7VcJW+b6VIVEoni8u99aaxLxEQZ453xVR3i9K0dSgvZGD3v//t+e09ouybPqCONR76xiG9HdtWXLNdxO4h8a2bwPkfQ06MH5kQ8Tv5145vnfrs1I7579rNBrNHjk6MLrndU1M1oImFa9EqjJKbgG7axKkEZ0oJOursxGlMQYGNhaNsE3VL6GUIlPZjq7uThQQJhEFZ3uxveB4LLRW6ayPkbtzs2z1g96fRqPRaA4eLaJrXhdsLdK51AxwbYuzE7UbinQeJNOLTT7zzcvUu9GOwu2t7Htru48fH+IH11aYWWnT6ERMjZSpt0Nm17pUCy5Hhop0woSryy2aQUzRs0iVItlDEPl22sN+48tv1n4nTAAD2zKIUkW14KIURElGlKQ4loljGxiZiW2aFD2bIM44Plzmo+86s34Od3qfz0zUWGuHLDUDToyU190bJc+hOGJzZanFc+fm+avPPrTr5wS4658hzf3Nvbr2aO5zthYenb0qzmMMEZkXZyUK5I1vk/xrvyDC5Nw1+PIfSBTK6rKIwIYJpao4w7/3dRHR++NDRsZh9IjksZeqIsq2GiLOx32FOA1TRGdFXnxU7mZad4nDxroqy2NcTNmv64qze35GHO/9qEyE6iiUiQK/KP8W50R4ffiNcPk8rMxDI9q8T9cTUT9J8pgX8uxzAyxEaDetfEKgr3/9ZKlMRoD0USlodPPbofLc9N5kQqsh/S2VZSKjV8y0RxRs5NQfmYLrlyX+ZWhUhO0oECG5XLt50c+dJlOiQF5zfRjMxehOa6Nwa6F07xzfu/V5r8et0Wg0uxDnd9LuBc9xaIYd0iylG4fE+dhhGEYe77LhSDcNEwODOEtZ7TY4t3CFX3vuP+xasLPo+ni2SzcOKHs33n3TjUNc27mpox32lnV+kPvTaDQazZ1Bi+ia1w17KdJ5kGRK8bVz89S70a7C7bGR8r76sF27JQ/eODXM9GKT66sdppdajA8UGUoyXFuyw9eyCNsyMQ2wTINo35U87xxJBq4NnmPRDhMKjsXEYInxms8Prq0Rxgll12Gk6lEpuHSjlIGix0ff9RAnt4iQ273PmVL8uy+fXy++2o9hGIxWfKaXWizUuzf9nNzNz5Dm9cHdvvZoXif0Co++/F3JLjcMyT73fYnLuHpRhMkPfGTD0XxkCv7a34EfPA+f/wx0OiK2DwxJdEp/8cuekD53TSJMup3c8e2KI7s6CO1mLnobeVHPTERipUSs3knMSFMRSh1XhHGvKIVRgzxapSfIb8IQ8TxNJKrFNCXWZfSI7Mcr5i51YOG6LDdtua0qzPLq2Ia47pM0L4Ca57qbFuuu+G3JI2pcT5zyaTePx8kLp5r57VtpKoVYh8bEib6pCQXXp+XxVz4rExBJLC75hdmNSYWJY/DMB/dW9HPrZMraspzTM4/LZ2F2Ws5Ruyl9syzpn2XDI2+6N47vnfo8dUYE9Ltd7FSj0byuiHe8jt9ImCS0oy5JljJaGmCt2yTNMjpxAApqnsRg9bLSkyxFqQzbtDg5OEnR9Xct2DlZHeHU0BFenr/MQ27hhti+ueYKj02cYrI6sms/95p1/pNP/TcHsj+NRqPR3Dm0iK55XXGzIp0HyUK9y9Wl1k2F2/m1DoZh7Flc26ndWtHl8eODVIsOa+2YD7zpCO98ZIIXL6/w9fMLLDa6UmgzTOiEt59xbhqiGRxEVrroEwZKge9YWJZBGCf8zfc9zPxqd73/pgGeY/PIkcF1F+9OefP97/Ol+cam4qtb8V2LpWZAN0zy/uz8ObmbnyHN6wf9udHcMpdflb8nH96Ix9hayHLi2GZ375UL4gA+0b+NfeM2c9dEbG83pThlEucRMPWNHPVCSVzOSQJZHpuCIWL3DUL4xmIcR8T4MBAXfS+b3LSkT71K1j2Ru9dPvyB576YtgvD5F6Vf1YEN17hpbjjMbQ+8ggjepiX9j1ugcpEdZH2vIFnim5zzOWbugLdsiDryWip3SGEpiJN8wsCQdpJE3pdyBfySiNezV2VSY3BEHNeeJ5MdM5dl4qJYlvPRWN3+joCd6E2mrCzIJETvroPvf0smS7ptmVwo+jJRMj8j79mxU/fO8b1Tn7UDXaPR3CZBuPeYqkQlxGmCZZjEWcJkdZSBQoXvXT8HGJQ8n4nKCGESsdBaIUxibNMiThNSla2L2BeWr/GZF7/IX3zDuyh7xfWcctMw+aGzTzPbXOa15ZncQe7RjUPmmisMFiu8/8xTNy3yebOs8/HyIC/OvsbXr7zI4xMPMdtYuq39aTQajebOcU9F9F/+5V/md3/3d3nllVcoFAo888wz/LN/9s945JFH1tdRSvGLv/iL/Jt/829YXV3l7W9/O//n//l/8vjjj9/Dnms00A0ToiTFs31aQUycZDi2ScmTAoO+azG91OLT37hMK4j3nJfea3erIFzvREwvtai3Q5pBzOdfmOEHV9dYaYakSlEpONimweWFJp1o7y6OnbhZnvp+MA1IM4VrmwyWXNqhiBWGYfDkQ6O85fTItkL5XvPmC56Na1sEcULJc27YfxDJtgVPzxtqNLeLHrsPkJUFcfMOjm7Ol4bNhSz7C0judZuleRHTWw04cVbE5/oK1ApSsLPbFtE3yUVnv7AhnFuW5HrtNA4YhrjAlZJ1O60NEdqyN3LVQdbJMhHBsyzPUjfEvfzGp0To74nnSZ53rgCVSo55Eud56rGI/FEoHYvzgqo9B3jPUb8dlpW75h0Roi27r41c5Hc8ea3TlOx5pWRfpimudM+Xc3v60Y3znsQyQdFqyPLjp3e+I2A3THNzfnqWwbVLsr/qYB6/kxecHT8mx3Ptkpy/eyVcb+3zrZJlWozXaO4S98P4Pd9e2df6URJTcDxGSgM8OnaKNEt5Zf4yqUrpRqFkoRsGaZbh2Q5xmmBbNo4lvwnWghZLrTVemb/Ea0vXGChUODk0yRMTZxgpDVB0ff76W/88X7rwbS6tXGehtYprOzw2cYr3n3lq2xiYreyWdb7aafDa8jVm6ov8u2//PsOlAWp+mfHKEGtB65b2p9FoNJo7xz1VlL785S/z0z/90zz11FMkScLP//zP8yM/8iP84Ac/oFSSQkr//J//c37lV36FX//1X+fhhx/ml37pl/jgBz/IuXPnqFR01qzm3lHwbOIk43tXlteLYlqmSbXoMjVcohslzK12MAw4PlLec176doJwvRPxyswaQZzgWiYV36FWdPnOxSUa3YhqwSFMMjKliLN7G+PSK0rar70oBQZKjivJKHo2taJLmIv9W128mVI8f3GRP3h+mm6UcHy4jO/ufP7GagWOj5S5MFenOGLfcPvjYjPg7ESNsdpdzo/VaF6H6LH7AAm6IroOedsv366A5F63Wbi2IbabJkwel4KZvXxtryAu8jSVCJlyVZ6vi9M79NnMxXCVSJSJUhvub9Pc3gmuMsn1shyJlCkUxF3t5X+7HRH4O82NTPZMSdtxtDm7vYdl5W53JYJ7EGwvvhZK4hpPYmhHItj7vrSp8vLaveMxkOVrK7KNX5Tddjsy6fDwGzcEdKXEnR6HMDAs78vaijj0a0PiWv/qH8I7fgiKpf2Jw72JkiMnRFjutqX/tiPHE3RunFy5H7k+vRELE0WSrT9xXMfCaDR3iPth/G727hbaIwZwbGCMt089gWmYedHQImtBiyCJaAZtLNMmTGQcsUyLiuvhWDar3SYvzJ6nG4VYpsV4eYgoTfjsy8/xey99haPVMYZLNU4NHeF9Z97GhxyPThRQdP11t/pe2CnrfLXT4PtzF2iGHTzbZWpwEse0mGuuUCuU+bHH3sNwqbbv/Wk0Go3mznFPRfTPfe5zm55/8pOfZGxsjD/7sz/jPe95D0opfvVXf5Wf//mf58d//McB+I3f+A3Gx8f51Kc+xd/9u3/3XnRbowEgiBJWWyFLrYCRiodjucRpysJah/m1Tu4mtzg7UcWyLGBveelbBWGA6aUWQZxQKzjUuzHDZZ8kVay0Atphwlo7ksgU0yBOD9BCfgvsJOGnClbbIeMDRcZqBXx3e2f49GKTr74yx399eY56J6TiO8SpYmq4RK3kbXv+TMPg2UfGWax3ubLUYrTi47sWQZSy2AyoFVyeeWRcZ1RrNAeAHrsPEL8gwmEYSoTLVrYrILnXbZSxWWyv1ODUo1LEs7kGWBs52wpo1mU9lfXdimRwo5puiJCsMtneyN3nkLvMVb58m21VBkMjUogT5BiW8gKjKpN2bFdE4p5wvm2+OrKNbefu9l4R1N5dWEa+LJUJA8fNHfJ55EwYbLjle8VU6buDy8qzzMpV2X9jVc7P7FUYHpfj67bFIe6XZOKgvgoXfpCL+7mL/tKrEq9Tru5PHO6fKDEMiYrpZ7vJlTvNQTvGr09L1FCrIRM9Q3k8zn5d/BqNZs/cD+O3ZVj7Wj9VGSOlwXUDTZKmJCojSELSLON6Y4ksy0jzXyhWXmD0wtJVgjgiiCMqboEgjQmTmNdWrpFmGUopkjSh5pU25aafHd3/dWm7bHWlFJdWrtONQyzDYqwyyEChjIGxnpP+0vxr/L+f/ktaPNdoNJpDxKG6Itfr8gNuaGgIgEuXLjE3N8eP/MiPrK/jeR7vfe97ee655+5JHzUaEKf0n766QKngMFjy6EQprSBmsRGw3AqZX+uy0oqodyKev7RMvROtb7u10OVWeoJwreByZanFYqNLvR3iWib1boxvWwyUXM7P1elE6brWYZkG6UFmsBwgmZI7+dM0Y3GtzavX11hrRQTRZsfi9GKTz3zzMi9dXSFOUkbKIoavtAJemVmj3g53PH9ToxU+8vRJzkzUaHRjri23aXRjzk7UdnT9azSa20eP3bfB0JiIq6uLuSu6D6XEzTxxfHMByb1uM35kQ2zvUanB6UekEGm5BpWqiM292JJSWdzXGw3e2Ocs3YhxOfYQlKobBUYN48ZbkXq4vuSeHzkh+xs/Bsvz4q4GEc0dN88+z7+eGub2Qq2RFwQ1jL5zoKQtIxfvezEycSgCeKsh4nmvaOpuyO1T8tdx5LwZhgj+nZas0yu8miXyXqSxuNddVwT2Tkuc/44nMSyvfA9+/1OSoX4z+idKtqN/ciXLpF/XLsnfO3E32vVp+Oxvw3/6f+A/f0r+fva3Nwqt7pcs24gampySySDTkr+TU/L6d567M8ei0WjWOYzj90hxYF/rZyjOLVzmO9fOcXl1lu/PXQClMA0TI78TNu2z+KS5wH5p+TpX1maxDZNWHDBYKDPfXCaIQspuAd9yWWyvoZTioeGjrHWafPHCt8h2qhWyC71s9YFihdeWZ2iFHepBk8XWKkmWUXQ9Tg0dxcgjyQzDYKIyxMXlGWYbS/ven0aj0WjuHIcmIFgpxcc//nHe9a538cQTTwAwNzcHwPj4+KZ1x8fHuXLlyrbthGFI2Pejo9Fo3KEeax5kesU/T4yWSVLFq9fXuLrczuNJlAjGefTrteU2QZTyppPD1IoucGOhyx69IppppnjXGyZ4ZWaNV2bWaAYxvmNR9h2Gyh7XVzo0OzFZLpr3dIuD1tCN/N/t/oxVQJKCZSqCWGFZGd044fe+dWVd4M6U4mvn5ql3I8ZqBRbqXWzbxDQMBooma52Iq8ttqkV3x/M3NVrh2Eh523x1jUZz8BzU2A0P6PhtmuJOXlkQx/LgiIjNUSBieLkmy/uF5L1uMzIhYvr0BSk4CnksSCLO5uV5EXg9f3MMi2mKaNxzppvWRoRLlvWZ0w0RetNYXNcqV897Ina/ku54IuqHgeSNjx4RMf9PPw8nzog7Po5EiE8SeWzmjnfT3uibYW60b5DnuSvpn+PKsa8uSbxLf6yMyjYKne6FJIbM3zjvjisxKr3881JFnO1ZCitLclyFspyT+pqcJ8eVYquv/UCc6Gkqx/7v/w381b8Dx07uvP/eREnvvesfw3oTJVNnJMLms799Z+NQ7oRjfL+1AHRuukZz4BzW396Guf/v7GtBi9eWrnF+aRrXdik6HgXbI8AgTKL1YcvEwDItkiylGbYBWOyscaQywmh5iBfnXiOIQ+pBizTLSFTKC7MXeHzi9CZR+2htbNf+bMfp4aN87MkP8YXz3+TSynWW23W6ScixgTEeGj7OYGGz2afgeCy0VulEwb73pdFoNJo7x6ER0f/7//6/54UXXuCrX/3qDcu2VrFWSt3wWo9f/uVf5hd/8RfvSB81mh79xT9NF3zHxDIMHFuKZSapQqGI0xRLmSw3A6YXmzwxJVXZtyt0uV0RzWPDJR4/PsjMigjxzW6HK4tNokRuP+9JFJmC7A7EuCjk96yhtjcW7rstJHLGtU3iJGN2rbMey7JQ7zK92KToWXSjVGJ20wzTtgCDkmtT70S0wwQDdiwUujVfXaPR3DkOauyGB3j8PjIlQmQvG3ptWQTYqTM7i6F73aYntl98RQTdbkcE4qArInOaimBZrEBjTWJUDEPc6G4g7nCz3w2ejwQ9B/i1iyJk9zLM0x0c3oWiCM1ZBsdOw7v+vAjQUQQTR6WtdkMc6r1iokZeYSPduJNLBqR83/2Oc8MQF3oU5evsEAGzH3pt9h4Xy1Lcc2VBJhaW56HZkBx3DFBNOcdx3l+VF15trsnfgWF5j+auwmd/C/7iT+wsPu9louTYKfji793ZOJStjvHe/99CUcT92TzTfOLY/kTt/dQC0LnpGs0d4bD+9q54pX1vE6cJ9aBFpjJc22HAL1N2i5iGQZTGuIaDYZpkKsM2LdIsJc5SMdlkcGr4KEmWstKpYxkmruVgmSZGKgL99+cu8Nj4aaIkvi1R+/TwUU4OfZjZxhKXV67zH773eSarw9seczcOcW2HontjMVKNRqPR3DsOhYj+D/7BP+D3fu/3+MpXvsKxY8fWX5+YkGJJc3NzTE5Orr++sLBwwwx5j5/7uZ/j4x//+PrzRqPB8ePH71DPNQ8q/cU/lYKVVkSmMrl7XJHndMsP+0wpwiRlbq3DqfEqJc++odBlL8ak3o0YrfrrRUi/f2WFxUaXME7oRAkoSFJFlpvw7haVgk2ju02xuD3imIBh4DsWpmkwVPboxilBlHBlsclCvcvFuQavzTcwgDTLaAYJ9W7EeLWA79rYlkknSojilEYQ60KhGs095iDHbnjAx+8jUyJE7sdtu5dtjkzBm94O//k3JdfbdkTIrdREsF5eEHHbsiXKZWhU/lkmnPu+bGPZ4ObZ3GkiQm6WZ5iHXagNiwDeL3ZvwoB2S4prvvUZ+G9/SiJkluY2IktGJqTvc1dlWY9MSVxKD6U24lvSdONxluVivgLbgqgv3/xW8bwNwT6OZIKhOggjk3DxZTl/vQibXh+yaLMDvufijyOoL0vBUc8Xl/93noOxI7C2tP37t3WiZHVJ9jE4Cm96Stz7By1ub2U7x7hSG3c0+EXZ134LnO4117+xCn/2VZ2brtEcMIf5t/dwobrvbQzAMi1M5HdXO+ySqJQoTTAxMPProFIKx7TxbYcwiTEMU+64VSkXl2dIshTPcTENkyCNKLoFRksDrAUtLixd5Wht7LZFbdMwOVobY7I6wsvzl3h5/jJlt7hpkkIpxVxzhccmTjFZHdm0faYyZhtLt1TgVKPRaDS3zz0V0ZVS/IN/8A/49Kc/zZe+9CVOnTq1afmpU6eYmJjgj//4j3nrW98KQBRFfPnLX+af/bN/tm2bnufheTs4WzSaA6K/+Ge14BAnGXGSgWGsZ5N7toVCkaYZmYJ2kFBvhyxtKXTZH2NyYqS8/iWq6NokWUY7jDEBA4MkL9pmcvsRKzejd+tjpqDVTW4oL2cgWkW8jVZhIL+3e/EyhmlgYKAA37HxHAvDMOiECc1uxMW5Bl95eZZOmFAtOpR8D9u0WGh2ub7aYaxWwLEMlIKFRpfxWlEXCtVo7hF3YuwGPX5jmvsTIveyTZZJVvbQKJx+VIRn25Zokk4L2n8qIuaJhxR1tcMAANSoSURBVCX7u1CSi3enJevZjixPU3GOmxZUh2Sd+opErnSaG8t36mOWSOzJQ49tiOT9kSUTxzcc5IYBFrkbfUtb/e7y/gHJtPIiorGIs1uz4nekt4PevVJ9BVUdX8TbVn0jS31oVBzS1UERry+fk2WmIec6CvuOuS/exvVEXG/UZbJicETuDvjdT8LirLTh+RJt89Zn5HFPWP/zfxlefQG++3UR0uvL8OU/kEmIY6f2Fodyq2x1jDfr0m6rIe+5acp5uXpxf/vZS1zN8YfkHN3piQKN5gHifvjt7Tju/jcyIMkSyH9trAVNMeWoTGJZshS5RxhaUQfLMDENE8+2iFXCN668RJCEZFlGM2zjWg6e4zJQqGCaJmXHZ665zFuOPnyDqH2r9HLSZ5vLvLY8w0RliILj0Y1D5porDBYrvP/MU5sE8ovLM+txMGES4dkup4aO8ENnn+b08NED6ZdGo9Fodueeiug//dM/zac+9Sn+03/6T1QqlfUctlqtRqEglav/0T/6R3ziE5/g7NmznD17lk984hMUi0V+4id+4l52XfOA0yv+uVjvMl/vkCpFphSWIQK6aRh51IiiG6VEifyrd2PefGKYZx4ZXy902ctXH636m1wI7TCh2Y0p+w7LzZBqwWGlHWIaBmqbfJWtIvftogDLgFTdKNibBrljfJtzs01baaqwLQPHMqkVHcDAtkya3RjDNHjx6ipRkjE5WGS1HVJ0oVxwsCyDxUaX1VaIZRoMlFyemBrm2b7zp9Fo7i567L6P6DmJh8ZudPwWczF3dUmE7WJ5Y5lfFJe1ZYvT3Mxd6FkuCq8s5MU5DTB2uUup5+S2Hckpf/Gb8JZ3bETE9CJLrpyXqJnBUei2RMTvd533t7XdPkbGRcBurO1cjHNb8jx1DBHiexnrtg2NFWkzy+T4CyUYGIGFGXkchzIIFsviNLeNjcmEXj58poBERHLbhrADw6Oyr+kLMHNF8tLkFja4dhm+9RURpG1HJgSKFZmwUBkMj4tDfnlBBO2Zy+AV5M6CfvrjUG6Hfsd4EsOlV+Sc+CUoWJLJ3m7At78ihWL36grfS1zNqUfg65/fe266RqO5KffD+L3W3V+meq8GtGUYWJZNmiUopQiSWO4Shlw+Z71wZ5KlmGTEWcJQscZgocK1+gK2ZRHGMSExQ8Uavu0QJTHNqIttWrzlyKMH6vrempO+0FrFtR0emzjF+888tUkYv7g8w28+/1nWOs1ccPfpxgEvz19mtrnMx578kBbSNRqN5i5wT0X0X/u1XwPgfe9736bXP/nJT/JTP/VTAPzsz/4s3W6Xv//3/z6rq6u8/e1v54/+6I+oVLSAprm3TI1W+MjTJ/nqK3PMrXXk7vY0w3ctPMfGNsU57VgmlgGVgsNHnj7JU2fGNjmo+/PVlVK0w4Q4zegECUma4tgWmcpFaNPAciyiOCOI002i+cEnoouA3o9p9KJqDBRqvbApgGtLdVPLMjENiJJ03ZiYKSj7DsMVD8+Ry06SZsRpRsGxubrUYLDsM1hy6YYJa52IkmvjOxbDZY+1TsTp8So//vZTvOX0iHagazT3ED1230f0O4nXYzji3GFegqMnob4qYuSRE5uFzONnROCsL4tQHHQlviWKIMkLiVrWhhv5Bie6kRffzHKBOoYLL8P578PZN8p2vciSL/0+XL8i+y+WRaxurIpAG8ci4CsFtpvvp+ccR4Te6qAIq2EoIvyu5NsZhgjTWbYh0Jum7N8rQGtNnnu+9Mu25VyYlvRnbkb6UhuAtZUNF7rq6xuIuz6JN8774Chc/v+z959BkqR3eif4c+0eOrWqzNKtG91oAA0MgBHACAyGI0BxQy5xt1xyz8jP9+E+0c5s+JU8o/HMhncrjjxydzE7Qw53QA4BDDkDYAZaNlQDVV26siordWRID9fvffhHpKrMrKyqzFLtv7a0zMrwcH/9jeiMiOd9/HkuicPaskAzZLsslX3ouhzj1ffL+Vz4gfz+5fdtLYQUSjKuTgtuXYUXXt/pxh7EobgPGXk2cIzfvCylqlEoAvdgvpJISmLj+P5d4ffK9R9k5h8mNz0nJ+dQPA2v3yXn/nqNpDAUHMtGQz6jGLpBpsK+eL7191jXNJRSZP1bDHQmSkO8Mn2OKE2wDAOlYM1v0Il8dE3DNEyqXokhr8xz40cfH7U9J32/iJZMZXzp8ndo+G3Ojsxsmq5KToGztsfV9QW+fOW7nBqeyqNdcnJyco6Zxx7nci80TeP3fu/3+L3f+73jH1BOzn0yN1bm74yWGK96/KsvXqQXJuJyUIokgzhJyYBqwWFutMTJsfJdAvAgX32l5bPWCmn5EWkm+ertIMGzxNmepIo4U4RJQpqpYxHND8KzdWzDIIhT0kztMIZpgGUYOJaBH8YEcbb5tlUDakWbgmNuvnmNk5TlZoBpaNQ7AXc2fMrNgGrRYWakyEY3oumHRL0YUHi2ySffmOONs2OP+KxzcnJ2k792P0UMnMT1VYlT6bS2YllKFRgeFSF9YkYKMHcLmauL8B/+tZRoAhjWlu1ve0b2Xgubet+ZPchOB1i8Bf/6n8PrPwe/+BsipE7Pwa98CjZWRRgGWLkjbnTdAFuHqC94G8bW+FESLeO4shCgIeLxvdCQ+xsWRD0Zu97PNh8egzMvSoTLminC+SBaIMtk/uIIvGEIun0tvz+XrQ1x04PcbyD8D8pQB2UmSQLLd/rivdEX0jUpLQWZs0HO/eC+ugbLt8Vx3mnJ4kavK9v0fBnH3Fm5fRCHMndORPCHYeAYv3NDngvFSl88jyUj3nZhalbO90Fc4Qfl+m/PzD8oN/1hFwpyct5FPA2v3zWvdO+NdmEZJpqm4Zg2NbdEo9dG0zQMdFKVMRDSM5WJ0I4UV48Wq4SplIWWHI9m0GGsOIRn2bTDHi9OnqbqlljpbPDy5Jkji3LZzSAnfT8WW2tcr99hsjx8V8GrpmlMloe5tr7AYmvtwP3k5OTk5Dw8T0SxaE7O04yuaXz81RkuLzb59qUVelFC0A8Kty2D6apH0bF48cTQnkWY41WPsmfxrUvLWIZO0bHkcsQ0o+lHrLcDHMug0Y1QWUacbonTg7fCZt90kGX0L1s8epQC09CpmDq9OMU2dSquxZ0NH12Tt6NNPxRzoq5RsM2+Wx10XcMydYI4JepFBJGI7GNVj6nhAu1ejNEX1P0gZnq4SBSnxElEkmaAzk9vbTA7UsxjXHJycnIOy/C4xIH86Ftb7nPTgDiRSJDl2/DSG/CpvyfxJbuFzMkT8NO34O3v9d3mCXRiES9tR2JKslTc1rvJ9sj70jQRqN/6mkSU/Pb/WY6BkniO+avidvY7sq3jinieJqCbEjOD6ovgpgi4fkdE/m6nX+qpbbnj1fZXRG2rsEMpKUK1HTlGpkSA/tVPwZWfyc/1VTlGuyljUtmWgNxuyTyZBqwtyr7TfhSMpoHryhyr/tyorO+sVvDOjyUKxrIlmgWtHwGTiRid9ONfOi0Rj7NMHsNOS4TlxXkZT3lITi3sSTlpEsmCyMAt/t4PH01W+PQcvP8X4NZ1efy7bZn/6rC41MtVEf4f1BW+X67/YXLTj2KhICcn54lifn3xvrY30XEth6LtMeSVcU0bPw4p2h6OaZOpDF3TCZNo82dTN/DjAM9yWes2+OHCJTKV0Qq7dEKfkUJN1jDRWO00GC5U7sonf5T4UUCYRHjW3qWmnuWw0tnAP8xCck5OTk7OQ5GL6Dk5R4Cuafy1N+aI4pTlZg/bNLAMHcfS8aOUWsE+VBGm6kvgg8w+y9DoKoUfJTuiYHeL5Ek/slXXt4T0o0QHklTR9CMsU8c2dZJU0QpidF3HtQ2SRIR1y9BJU0WcZYyVXU6Nlbmx1hHTYMEmU4owyii6Bi/PDgOwXOix2grwbFksWO8EFB2Lkmvihxplz2Kp0eWz37nBp948lQvpOTk5OfdNX1AO+9nhQVdeMK5dhP/6x/DGR6Wocjv1FYlHefUDct9mHa69I0KtacqLTtDru6r1ncWfuzEMcS5rmri579yEv/oclGsi5jc2xKmexiLQGsZWxrhbEMG7MiS/azfk+I01OXZlSM4r67vVLVvGkyb9LPd+ZIuuS1RLFIoQW6rIwoLrye9/9kNxdk9MyXE3Vrcy3XVLjh1HMidhICL4QLiXFWP5uefLmL2aONSTtF+YaojA3utKnnoUyXlkfYFeN2SbJBGndbnad93Tj5C5vTNSBQVt5HxbDVA34H0fhTc+cvh88sMwe0ac7oa5rXC2uCVsH4cr/DC56Ue1UJCTk/PEcKe1dl/bVwsVRotVCrZLkqbUe20KtrPts5RJyfbkz3RfRI+SmNvNFdb8BplSeH0RvmC5rHY3WGqv4fZLPl+ZOntXPvmjpmC7OKZNLw72jLvpxSG2aVGw9xbZc3JycnKOjlxEz3lkZEqx0uzRCxM8x2S86j1T2dZzY2X++gdP8/V3lrm11pFMcAXPTVV3FInuZqXZo92LeWV2iNW2xLn4kUS2gEbJtegGMZapEyc7BQq5GFG+Bn1vug5F26QdHFD2dp84loFj6YRJRtz/MjRQlslw0eH56Qo/uFlH72ekm4Y4/jzb5MRoCcPQuLzUlvGh0eqFWKZLqxcDEMQp7V7MRickyTIypSjYJn6U4tomZyerVDyLm2sdvvHOMidGS8/UcycnJyfnWKivgN+Gcy+L4LyxJs5qlUk5ZKEkYvGVn8ltv/ypneLrZqa6uyXmegW5fxz1HekKiqUt93S6z2uPUlsibByLkPzDb8LUnDiOXQ9W70isSbsp98liKJZF7NZ1OcaJU9Btyv2VJ5EuQXdr/66HFHRYMtaeL2NNY4lP8Tyo1EQYdgsyHq8ox7txSQT6iRkRzKMICsUtp/1A7E5TULE4ym1Hbjf6ETODzHSlJPJE12WhwHHk58oQbKzLeLrtvkCv91/Is60FCduVcZUqIuZrmuzPK2256bMUpk7CzElx4kcBvPlLMD51pE8jhsflcZq/It8flSv8XrnpR7lQkHO8ZNnesT05ObtwBhFahyRMItIspdnrYOgGY6UaJ2tTvLVwEaUUI8Uqa90mQ15ZolCUohP6mLpOkMSMFCp9kV2j7BYp2h43G0vMVMf4v/3i3+VEbeKx54xPVUY5PTzNheUbnLW9HZEuSimW2nVemjx9YNxMprIDc9dzcnJycg5HLqLnPBLmV9s7xGXbNJgdLfGRA8Tlx8XDiP1zY2VOjJbu6/6DYtETIyUmagW6YUIUp1xfbaNrMbapESUZ4xWXph/R8mN0XcMwNGxDJ4xTMqXIFBi6uN+HSy69qEuyrfjzQakWLAxdMtkLtklmZfihOOMdS+fF2RqOZeDZBrZhyBX4logtYZKx1Ogxv9bFD2POT1ZwTIPVps9GJ+R7V1fQ0dB0GC27tHrRZiRMvRMyN1bi/FSNakHeUI+VXebXOqw0e0zW7q946GnnWV+EysnJOQYGIvjkDIyMS0llmoowa9kigHbbImh1WneXQw4y1Qe51F5R3NFhIPsJAxFUvaKIu4Hfd6T3o18GZZ0Dh3aaSAY4SsZmmnJsryCObcuG6WHJOLf7ZagDh7eui2jdbkgJ6sod2aff6S8KuP1V5axfaJpCeUQE86AnMTJnX5bzGhkXcXw3EzPitr/xjtzfNPtucUv26/dLS21Xzq8yLL+3HXHxr9yR+SyU5LtSMDQiYn2nKW73Rr1/2digIFVtueWzvmPdseXcel0Z0/qyzKvWv+zM78j+LRtqw3I8twArC4fLhb9fHqcr/KDc9KeBXDyGO/NbCyFRJH9TJmfzhZCcPXnf3Iv85bXvH3r7OE2oeCWqbgnbsHBMi3qvxbnRWZRSrHY3SLOUlU6dou0RJrGUkeoGnqVhaAZRmmAaBkma0ol6jBQq1LwKhm7cVfC5XYieKA+z3K4fuzCtazofP/8mi+11rq4vMFkexus75ZfadYYK5QPjZq6tL/Cly9/hev0OYRLhmDanh6f5+Pk3H6vDPicnJ+dpJBfRc46d+dU2n/3ODZq9iLGKi2t5BHHClaUmq83eExXPcRRiv65p9yXweo6JZeist3vEqRIDnQFBmFB0LKI0lUJO5OO2YxuSE67ks/SgwFPXNLIswzEtXEtKPpPwwdzoOpABjqkzXnFB02n5IX6YEiUpcSplp3GacWutQ5IpWn6MpsWYuo5jGZQ9izTLuLXewQ8Tyq5FpWDT7kX04ow0zehFKZoGQ0Ubr2gxVLTpRQmaBkXHwjENKp61OS7XNlhrB/Qe8LyeVp6mRaicnJwniO0iuMrke7nWF7KRfG+jX245NHp3OeReudSTs30XeF/81XURdaMQTBvOnIH1VRHF41heqAbCehJD0o8vSVMpqhyMxbT6Lu5MRP44Erd4Y10E/qgf13LiDJx7Cf7qC1AoyPELZVi4KWOPAjnOwDFuGDLekUn4uV+G7/ylCO57EUeyMNBYA9+XMQ1iYbZHwBRL4ib3+jEwnaac78nzIsCHva2seMOU29FEQB+407N0y02u9V3+apDHpsPNy1uXl02ckIibn70lMThxLNsZhiyMrNyRbY6zaPNxusL3y01/0snFY5mDL35W/h8eGoNhR/4OzV+R/193X/2S865nvDR0X9unWUqj12G5tU6cpVi6wdzQJB879yY3N+5wc2MRP+oRJDHNoMOQV2G8NISlG5wZOUGj12aj1yaNUnGyF2vMDU3SCro7MsZ3C9FxmhD0BWnbMI9dmD4zMsOn3/jk5hhWOhvYpsVLk6cPjJu5tr7AZ976Ag2/3RffXXpxwIXlGyy21/n0G5/MhfScnJyc+yAX0XOOlUwpvv7OMs1exMnR0ublZ0XHojBqPlHxHI9L7A/ilMWGz82Vtnx2VludaNNDBeIko+xZREmGUgrXMvAzRdr/GhR5DuJfio6FbeqUXJMwTtiVAHMoDB1cy6Dq2gRJRsHWKbkWfiiFqUXbxLY0QOfWehddk+LQNMswdG2zXNWzDbIsRqGoFR2SNOPmaodMKVKl0PpLAH6UkmTBpmDu2SZDJYdWL6YbJpRc+X0QiYDsOe+eP11P0yJUTk7OE8Z2EbxY6burB4JtP26kOixO8iy7uxxyLwdyoSQRIvNXRMQd3L9UEWH59HkRwv1OXzRPtvK7lQJfiXCuaTA8uhWlMthHqy6ieJqKQH3uZdnX4i3J5f7Qx+GbX5QcdV0Hy5H7VYck1mXg6o77cSmD0tLf/LsSe/LDb2w567fTbkiJaqcFtiVjjSP5Pnh/Ytuyv15X/j3IUXMLUjY6Y8LpF+DW1X7paiLz6RVkLKEv+7AdOU6Wyoq1NXDa94XWQmlnZIpXgPd+CK7+VAR5w5RCVF2DKJas9I11eP9Hj7do82l3hT9KcvFY/j/8wTdkDrbHAHkFWZRbnL/76pecdz0nh6ZxDJswjQ61faoyLF3nPbMvYegGaZay1K7zhz/8MyZKI7z/xIukKqMVdFlu1xkqVPilc+/jmzd+zJBX5vTwNO3QJ04TLMOk7BToRj0CM9rMGN8tRAdJzA/vvEOr16HqlXht+jlc0z52YfrMyAynhn/n0LEsmcr40uXv0PDbnB2Z2fwcXnIKnLU9rq4v8OUr3+XU8FQe7ZKTk5NzSN49SlTOY2Gl2ePWWoexirsjvw1A07QnJp7jcYn986ttPvOVy6w2eyIsZwql1Gac6rXlNhM1jxdmatxYadPyo02BuxenxFkmJj9NxzIUCg3XNgAp42x0I9Isu6toVOt/bdfXDU1c8aYu+wjjDN3QKNgmYZyy0Q1JVUa1YFN0TbJMCk9RoOkKQ9PQdJ04zTB16EUpugYhipGSy4nhArfWu4RJykTFZbkZEJKiA6auEScpG50M1zIwDR3T0OhFGXEqo1RKsdoOOD9ZZbx6t9PuWYw7eZoWoXJycp5Atovg6yt9YTjeyte2XRHZNW3/csj9HMhv/hKceV4yvl1PBLM//Yw4bqfnJMe715FjbjZj953XqSZC8cj4lrCmaTA1K0J4uyGudL0/zmYdxqfhuVfhL/+zZKZXh0ScQ4P1JaivijifJCJg6/2C0XMvwa/9DZg5JWPc7awHKeX84bfETa5pWyJ1Em/FrOhGX/BX0OvJi2jQFUHQMCHryfblmiwsnH1J5nplQX7fbvZz5TVxtWv0s9b7c2Jakpv+8vsloiVJJE7GLYjY+KU/lcUJ05Lj6brc36If2xOIqH+cPK3RJIcd91GdXy4eC/UV+ZsxNLZzUQjk33td/ZLzrqfiFpmpjnKtfudQ2ysUU5UxJvt54EopFlqrdAKfkUKVkltAQ6PmlZmtTXB1fYHl9jqnh6e5uHKTsyMzVNyteK/dGeNJlvAnP/kytxtLnB6eoWC7XFqdJ80yTlTH2Qg6zG8s8d6Z5zk7MnMkwvRB+eW6pjNTPdxi6WJrjev1O0yWh/f8HD5ZHuba+gKLrbVD7zMnJyfn3U4uouccK4O8b9fa+/LiJyWe43GI/ZlSfO3iEjdX2hi6hm3q9KJ0h96QAevtHkrVeGVumO9eWaXRlQxa1zKYGvIoezZrrYCNboiGRjeI8bWYejciydRdAjr0rwLXQVPymVsh+eZTQwVcy6DRjVAKenHKaNlldrTIhdsNHMugYJs0exElxyJJFY6lSDMpGx0u2XTCBL8fyaKUolKwOTVexjQNWn5E0bawTJ2RkiKIU7IsI0oyNE3mena0yEYnYqXZwzENdA26QcxqO6Dq2Xz4+Ym7BONnNe7kaVmEysnJeYIZiOBvfV3E6Ma6lHVWh0VQLlfvXQ55GAfydoF6clbc4d22CMZpKlElmi5CYrEClX62+nand7kKp56Hy2+Ly73VENf23Dl4/UMidLebUBsRV+/qHYjqbArThiH7HpuCscmtOJeBkLGXsz4K4Z0f94V7XaJaAIJtLnpNk/NLpAxbXOCGiOTthoj1mia3L86LkP7RT8i2n/sDuPxTcdX7HXGxZ/3c9mJBBPQwkO+Voa2M8+14Rbj+jpSljk5IWWoUSrmppsvtpikLF3sJkkchDj+t0SSHHfdRnl8uHgubxcTO3rfb7t1Xv+S865koD+OYhy8X1dBYbq8zURpmqFChHfo0eh2GC1UavQ7t0KfiiEg+EI6v1+/wWy/9Akud+oEZ4zfqi3z2J1/mi5e+jaEbrHdbeJZDM+hQcYpouk7J9tjotWkHXdA0HNPi7cWrLDRXmK3d///fR5lf7kcBYRLhWXtHmHmWw0pnY0dsTU5OTk7OweQies6x4jkmtmkQxJLvvZsnJZ7jcYj9K80elxebpCrrR7NILAuAqWlkKiNJIUrhB9fXeO3UCEXXpNHVUApsU8cxDaoFm0yBYxq4tsFqK2CjHfRzy0E3pBRUB9Jtx08yMLV+XG3fzd7yY9yqQdExyZTCMuDOhk/BMdE1DVOD9U6ApetUPItuEDNacWn3Itq9mCDJKLsWY1WPkZJLGKdMDRWod0PsJJW4F0Me66JrYRs6kQJd10jTjDBOuLbSxjEN/DAhsWBhvctQyeX8ZJUP7yGKP8txJ0/LIlROTs4TzkAEP/O8ZImHPSmsdDwRdQ9TDnmvXOrtAvXNyyL0jk+LsNxty+3Tp0Tc1jRYWxbn+O6iyk5TIlze91Fxmw9E3/oKXLso7t7bN2S7NNkSrwcZ6GkirvPJE/K73a7f7c76xXmYvyrj03RxgsfxViSMykBpIsQPollKVRnXIAu+UBIh0CvI8XdnhL//F+DWdfk56e/bdkWIN0xQptxvkLnu7rEgqusi6OvGVsFrEm855HWjHxcT3C1IHoU4/LRGkxx23Ed9frl4LOwuJt7Nfle/5LyrWW7X8ePw0Ntbukkn9Llev0PNKxOnCWmWUnRdWkGXON35HnkgHI8UqwdmjAN85q0vcHtjGUPXGS5USbOUdb9BK+hSsFxsLEzDoNcL+PHiFcI0JulnpX/m+1/gd1//tfsSvo86v7xguzimTS8OKDl3/z/Yi0Ns09qMrcnJycnJuTe5iJ5zrIxXPWZHS1xZalIYNXe4ae8Vz/EoeRxify9MCKKENFXESUamFJkCy+hfrqfkMm+VKXpRwvevrVKwTU6MFNENnSBMWNjwWe+EvHlunF97/QSdIOZz35tnfk2nG8REqSJOMzRSNE0jSySzXEMRZyJeZ0pKQi1DJ4gSukEiRaZKcXq8wq16Fz9K6AQxLV+h6xpYsLDh0wlihgydWsHGMg3OT1Ul7sUx8cOEVi/m556b4GsXl1hu+tIr13edN/wINDD6In+SZnJ7mpGmipJrUfFsDF3j469O88aZsbsc6M963MnTsgiVk5PzFKDr8NIbUBvdElWb9aMthxwI1H/5OSnABHFIT8xsud5BRGPLEoH5zvzhiipvXYOFGyJoR+FWFnkcAYmIdEqJON1uyDH3c/0OFhWu/BT+7I/FAX7lZ7Jf6LuH+yvMA3F+QK8rUSyl6tbxzr8C7/95KULd7fKePSNZ7nEsomnY2zqGUpDGW3Eug5id3U70LJN51HRI+nNn9Z2aSsmCRdzPD7a3CbdHIQ4/rdEkhx33+PTRn18uHgt7FRMPuNfVLznvWjqhz3qncejtM5XSjUKW2+u0Qx/LMDF0gyCOMHQDq2/eUShxqftt2qEvkS4jM/x3b/6WCPfbolMA/vW3/yMNv82Z4WnW/SZplmKbFkNehUavQ91vUrAcumGPVtAFNIa8MplhoYD5xhKfeesL/Dfv/QSe5dwzw/w48sunKqOcHp7mwvINztreXZ/Dt8fW5OTk5OQcjlx5yTlWdE3jI89PsNrscXOtw1jZxbUNgig9MJ7jUfM4xH7PMXFtE4UI3VkmueKbx0UuUXRsnTRTmLrOe0+Pbo6hGyZEccpKq4cCvnVphcuLTS4uNCSqNU7QNA3bNFBKESVb2eKGoUOWkSrJcjFMEeyDON0UuxWw1OgxWfP4+Ren+ONvXqPhR4xXPExTJ0ky2j2JXSm5JlNDRaaHCmh9AX4wZ6+fGWW04vK1i0vUO0usdQJKfdHXtQwypWh0I+lnA+IkQ9c0gjjFsVJurHb4D9+8zmjF49QuR/mzHnfytCxC5eTkPEUcdznk9Bz8yqckWsRxJTrGK+4U0AYi4uwZeO1D9x5LlkkkSpaCUwC/K/fXDRHjwqAvzNsiWrZbInYXSvu7fnVdbk/6DvOs7z4H5NVoexha/2ezv5g5iGVxizB7VqJb9hOjh8dFnL34IxG4t8fcZJGcU7kqMTTNuojt21H9ItPJWTmPXgfMmsxnGIj4222La960JDP+I78mxzwKcfhpjSY57LivXTj688vFY2Gv+KTBFSeHufol511JJ/QJ0/jeGw7QNOI0ot6LWe82ODU8Tc0rcbO+yMnhKcpOgY1em+vrCyy11lnvNdA1nX/+V59htjbBq1Pn+Pj5Nzk/tvU3fKG5spklXrQ9hrwyq90GQ4aJY1qUbI9O1COIQ1a7G+i6wVixhq5p1HttxstDvDxxhp8sXuX/+eX/heFClSiND4xmOY78cl3T+fj5N1lsrx8YW5OXiubk5OQcnlxEzzl25sbKfOrNU5uZ1WvtANs09o3neBw8DrF/vOpxfqrKzdU2aZaRqa04F9UvGZWx6WSawrMNbMvYcia4FrgWYZLy3SsrDBUd/CihF8ZiZouz/v3BsUySNAZN9TPQlRSLZmCZGijwQykqzTI2x7Kw0SXJMi4vNhkuuZi6hh8nFDUTy9QZKtgsNnt0w4SRskOmFEGY3DVnc2Nl/s5oiRdmanz+rXkafsRKwydKUpJMidhvaJi6RpTKXKRZJuds6txa7/C/f/Uyn3h9lqGis1kcelDciVKKJMvY6ATcWus8lUWjT8siVE5OzlPGftEsR1WsODoBp54TEXG3gL5bRLxXTAzImFobIsI1631ntrV1Lrou8SZeUUQ6v7OVX36Q67e1IaWkg7LVrUHuPQ6jXww62GZsEj7198R1vBeD+Zyeg+sXxIVu2ZLpHgXiIHdcia+JAnGh11dkf9vFxnJNhPFvfhFuXILmOpi2ZMaHvf6LuSURIt/7Klx6G37hN45GHH5ao0kOO+528+jP7zjE46e11HW/YuKjuvol55nDjwPu512tqRugaaRZymJrldFiDVM3KbkFTN3kTnONS2vzNP027chH13RqboleFHKjfocgie6KStmeJa5pGqeHp+lEPhu9NiXbo+ZV6EQ+t1urZFnGRGWYJEvpRD08y+b08AzNoMtqd4NO6DNRGma6MnZgNMtx5ZefGZk5MLbmfnPWc3Jyct7t5CJ6ziNhbqzMidESK80evTDZFEGfFPEvUwrbMnj/2THevrXBRidgrZ0dq9ivaxoffWGS6yttNrohUZiiIVEncSqFoIYGQZKKW1zXiOKUhXoXgIpnUXRMVlsiYusaJJnCMg1MXSPNYsJE0Q0SKgWNomuS+jGJUqSpwjQ0NKBgS/RKlIqwrjQwDX1T0G/6EW9dW+N9Z0dJ0wLz611afoQfJRi6zonhIlGS0YtSbq93950zXdN448wYo2WXP/3+Ta4uNckyhWnomLqGZxvEadaPkslIUhH8PdukG8RcWmhwa63L1JCHY5nMjpZ4fqq6Z9xJ04+YX+tQbwcEccrn35rnylLrqSwafRoWoXJycp4BjrJY8UFExINEwqAnQvfMaRGaO21IdSnaHKCUuKwHOeGmdbDrN8skY90w+yK6Dlq21ey9F2GwFSHjOFAoQqu+twi9ez4VMqZWXRzwuimLDRMnRJxv1EVMH52ElYW9xcaxKfirz8M7P4K1FUj6ES6OC8Njcv5xAo01+Is/EbF+eGzvc7FdmZulWwcLs09rNMlhx12uHs/5HaV4/LSWug447qtfcp4pdE2nYLtEQedQ21fdElEaY2gGK50Gi+11PjD3EudG57i0eoM/f+fb1LstMjIMTccxLLpRQKYUzTDZzEzfHpWyO0t8qFDh1clzXK/fYaPXJkwiSrb8fq2zQZpmBESMlWqcHp6h5pX4we13SNKUguViGRaGrh8YzXKc+eVnRmY4Nfw7LLbW7hkr8ySQqeypGWtOTs67j1xEz3lk6Jr2SCI1MqXuS6yfX21vCpRRkmKZOsMlh5dnhzkzWTlWsX9urMz/5RfOY+oaX7uwRJxm/RgXcYhbhiGu8ihlrRXwrUvLmw512zIY7rvPs0yRZIqRkkuWBfSihIJjEacRqZLol4pni+s8AdPQKDgWoyWHJMto9cSxZ+gahq5hmzoFx6JSsGh0Q+qdgCRV1IoOrxRsumFCnGRYpo5rGdxe7/Dr751jtOzumPO9Hou5sTIffXGSb1xcwrUNbMNgrd0jVVtRLkrX+xnxim4Y0w0TPMcgSlKGSi6moXFlqclKw6fsWay2gs24k6YfcXGhQRAlJFnG1FCBiar3VBeNPumLUDk5OU85x1EceT8i4kEi4eQJcZbHkZRynn0ZwrdkrFpf/HZciWUZbDPUz3ddnN/f9VtfgeUFGc/1iyKqG6bsZz8nepaKqFoogeXIffZyKO83n1EM64ty/8kTIvbfvgb1VblfmkKhDB/8mAjgu8XG6Tn42/9Qom3+9H+DxoZkqtdGttzmdt/pvrEmES9TcyL276a+Cit3pGhWN/YXZp/WaJLDjvvMizKfx3F+RyEeP62lrrs5zBUnOTnA3NAkRdujcQgRXUejl4TMVMY5NTzFht/ml869jxfGT1FyCpwenuJnS9eZroxxafUmWZYRZym2YZKhUCg2ei1M3eDHdy5zp7mKpml0Qp+RQpXbjRXOjUqW+FChQs0r0w66XKvf4YWJk/z1Vz/G/+srf4hnOVS9EmWngIZGK+yy0WvjmBaZUpu57LB/NMtx55frmn7oGJjHybX1hU3XfJhEB0bg5OTk5DwOchE955lityBumwazo6V9Hcjzq20++50bNHsRYxUX1/II4oSlZo9etColnscsVM6Nlfm/f+p1Xjk5z7/50kX8MMEydSxDxzYNAKIkI0oyFCllz0ZDESYZd+pdUqVwLYOKZ6NpGtWCTZxmJKnEofhhSpIo2r0Iy9AZHfJEiNfAtg2IwTZ1hoo2nmOha1tCOmiU3IyWH1PvhNSKDpqmSZRMn24QbzrDty+SHPRYlByLomuRZQpdhzSDIIqR9QGFromgrwOrnRBd0xgte3SCmEwpio69WRw61j/3m2sdRksON1dbdIMYXYeSY3FytETRtSg4T3fR6KNahMrJyXmXcZzFkYcREQ8SCW9dg+owdFuwtiSC89i07PPmFRG0NQWpAtftu8k1cXz7nYNdv4O4j8kZiX7ZWNuKgNmeia7rknE2KDLVNKgOSRSLpt/tUD5oPs++sJUG025J+WociivdssRBvrYIl38Cv/VpeO2Dd49b16FYkgUJQwevendci2nJwkKmYPm2ROts36bVkFJV25HHw3X3F2af1lzrw47bNI/3/B5GPH5aS11zch6Cqcoo1varjA5A1w0s3eTMyAw6Ghu9Fn955ft89doPcEybslMgSEImSyP4cbApaPtxSJIlKKXIVEbdbxKlCf/r9z5HJ+oRJhFxmrDabeDHAWdHZjazxFe6DWaHJvidVz7G3NAUL0+e4cLyDcq2COgAcZqQ9B3uY6Uhyruc5XtFs+T55SKgf+atL9Dw2/3zdw+MwMnJycl5HOQies4zw36C+H4O5Ewpvv7OMs1exMnR0uaKf9GxNgXaRyW46prG+86M8e13llnvhPSiBKVE3O5FKaaukekaSkGWKSxDwzEN4kQKSdN+LAqAYxmMll2afkQvTLAtcVrUCg7jFY+xmkfFs+iGKS0/IowSMgVRqijrOo5l7BibZegYhkazG6KUOlS55b0ei4++OMlUrcCt9Q6LGz2UEuG8b7IXvUJBvRuSZYrRikuaKQxdFhdgqzi01Yv5lffM8M6dJpfuNFjc6OFaBiNll9mRItWis2P7p7loNCcnJ+fIOe7iyINExINEwrgKP/2+CL0vvleiTq7+TITnNJHfu55ErGjS7UGxBL/4G3D6+Xu7frfHfZimiNJJAmRb+xuMUTfky7Ll2HEsgvvkibsdyveaz+k5yeG2HVkc6PlyDK8IprEVx/Knn5G4l5lTe49d08V5v5fLPE1ESC+WwfF2isNhDy6/Ldudf2Xr/gcJs09rrvVhx/2knt/TWuqak/MQLLfr2IcU0WuuuL/jNOGny9dwTZupyggFy6MXB1yvL3K7sQJKI0lTDF2nG/fI+p8ppCAK4ixlpVPnx4tXeGPm+U3xNkxi2mGXW80VHMPaM0t8L+E7SmN6SUjZKXB6ePquotD9olnezfnlmcr40uXv0PDbnB2Z2eoAOyACJycnJ+dxkIvoOc8EDyKIrzR73FrrMFZx92xBP0rB9TARMyJ4G7zvzCj1TkjDj4jTjN56B0PXKbo6QZT2S0g1dE2j5JoSrZJmtHxxioOGYxmMVRzqHY1R22W84vI3f+4MRdfixnKbb7yzRBCnzI6UGK+4rDQDukFClvUYq3ibQrpSik6QMFJyGat6m27vVEnWeqsXMV7xdpRbHuaxeOdOk+emq8yvdTB1DTTxbmRJKkJ63/SnaZq4yG2TVhAzUnIpOlt/tlzbYK0dMFR0+NsfOcv3r67yf3zrGidGSpQ9667HdbB9L0we6vHMycnJeWZ4nMWR+4mESsHSbRFxtb4rvDoE51+Gn3wPWr7kiJdqMDIpud+Vmoyz1YDpk/d25g7iPt75sYjami5u8FiJqL0DJS3daSq3dZowPAEf/tW7jzOYzyG7X3CaiEjvFiTPPQplnLa8XqMyKFVE+I5CEetrI1J6+o2/gL/5D+4+xvC4iNy3r4novr3YVCk5TqEEI+Pw4V+B65e2xOE0ldia8+dkzrZzkDD7tOZaH3bcg+3WlmHlthTETEwfbwHvvXhaS11zch4CPwrIVHqobTVEfH176SpJlvLa1HlK/UiVklPgpYlT3GoscWVtHoXCj4O+SclCA+I0xdRNcaUDmlIU+1EqJafAe6bOcWX9Nidq4/y1Fz9KySnclc+9l/BtGSanh6cBjZq380roe0WzPG355UfFYmuN6/U7TJaH9/xcvlcETk5OTs7jIBfRc54JHkQQ74UJUZLiWnuXRR2V4HrYiBnPMYnilG9eWmajGxInGUqJy1zTNAq2semwNnSNJFV0wqh/KaJiqdGjF6XUig6GruFHCUXHpFywefHEMBXP5hvvLPPVC0s0/ZCyaxGnitmRIpNDBW6vdwmilHonYKLmkaQKP0zIlOKDZ8f59Tfm+MJb8/z4Zp12T8rMKp7FiZHSfT8Wt9Y6vO/0KBrgOQYFW2JkgjhhvROCgrInf57SLGOjG1J0bWa3ifIgWfG2aeA5JrqmMTtaYqjkYhjaXcfevX1OTk5ODo+3OHI/kbDXFXd6oSRO86T/OmyY/fE6Ijqffk4E9MHfe10/vDNX1+H1D4n7uN0Qkb7VEJEZTW7vX46PUuI+jyMZw9Ao/NbfhROn7t6v64lL/Z0fy9jTVLLU01SEf6VELDdM+bdlS2xIFIqgrunyOzRY3OdcdB0+8qtw6SfiWq+NyP6iQJzttiMC69QcvPC6fA1E3411+OqfHVw4up8wu/2qgkclJB8Fh41UWbp97wLPR1ny+bSWuubkPASDgs3DUO+1CNIYEPH78to8C80VJiujmLrBSqdOkESs+01SJYujGhoqztA0DV03ZC1TKVzTphuHtEOfiitX6GiaxlR5hPVuk5JT2Fe8HQjfC80V5jeWUEhe+19c/s4DRbM8LfnlR4kfBYRJhGftXZy6VwROTk5OzuMgV5Jyngn2E8SVUnTDhCBKafUiumG8eZvnmNimQRAnFJ27Lxs8CsH1fiJmrq+0uXinSbsXoWlgaDqappFmEsfSCRJqRYeiaxLGGc1eKEWohkHJ0YlTRasX44eyXa1o49omU7UCp8fL/Kfv3mS56RMnKaMlF02HeifAD2JmRooEkQjYfphQ74SYuo6uazw3XuM33pAPhlGSMVyyOTVWouRaGLrGajvgs9+5sXkuh12ccGyDyaECUZrR6cVEaYplGkxWPdqBlIlGSYbZz4Y/P1WgWth6U71XlMx41WN2tMSVpeZm0ehB2+fk5OS863mcxZH7iYRJLMIzlgjNhimu7mZdhOxyFfyuOMe3j/d+nbmOK5nrhrklBmepCNooEbRVJiWig3+XyjA1C2NTe+8zCGScjXWojYKewsaqCK6WJY706hDU10QENa2tHHfd6peV+rKvXnf/c5k5Jbnpf/oZKQlNExm7bkjOuu3CidNbwvZARHY9cJyHE2YfpZD8qDhMgSc82pLPp7XUNSfnIZiqjHKiNsFPl6/dc9tUZWRZRtktUHPLbPRa3GmtcXntFrqmoWs6SilM3cBQBlEWo1AkSqGj4+gGnuXQyVIqbrHvTt9pnjqseHujvnhXIWbVLeGWh2kEnXdVNMuDMFg86cUBJefu16b9InBycnJyHjW5iJ7zTLCXIN7shsyvdyX3O5bc7y/++A7W6zpzY+VjF1wHsSYNP2S07EoxqBJ3+MnR0o6Imfm1Dn/wlcsEcYquyeWJkhGuJJpVSU54lmWEccpaOySKUxQZpmFwYrTEieECV1faLDd6aBpMVD1OjVf40PMTfLMfrzJe9Vhp9jBNHV3TqBV0Gn5Eoxvx6skRbqy2Wax3qRVshkouz01V+cgLk5wYLfFHX79Kqxfx3FQVP0qJkwxd15gbKTK/3t08l8MuTlSLNrWiQ8WzUECcZARxws3VDq5tUHBMkjRjaqjI7fUO79xpYBoa41WPIEpZbQdUPXszSmYQmXNytMTN1TY3VjuMV1xc29hz+5ycnJwcHm9x5H4ioWnJ8fw2FCuwcEPyw8NQolTCnojR5q7XmPt15gY92cfzr/Yd77EI6p2WuLz9rojo5ap8TZyQnPKlW3sXOmYZ/Ohb4qAfiOFBT352vf7xYjj5nJSJ3rwESSpZ7gMGETZKSflofXUr+iUKdrq+X/ugCOf/4V/Ltk5BhPFCUbLQf/xtEfu3C7sPK8weRmx+2oT0wxR4vvV1+d2jLPl8Wktdc3IeAl3T+bXnP8iXL3+XKLv31cBxmtANe4RJjFKKguXQCnzSfrFFpjI8y2XIK7PYWiPJUizDwtQNXNPG0AwM3cDUDUzDwDJEHlEo2qFPs9chyVI8a59YJfYvxFxq16l5JX7zpZ9ntFh710SzPAhTlVFOD09zYfkGZ/uROgPuFYGTk5OT8yjJRfScZ4LdgnjLj7i40CBIUgq2QZLq1DyLpUZ3h2v6I89PsNrscXOtw1j5aAXXlWaPi7c3aPUi7tR90izD0HUqBZu50dJmxMxSw+fPf3iLtXaAbWgYlsSsJGkm+Xyaho5CKWgFMWGSESaSFagBRVvEaMsyeeP0KGvtkKYf8tfef5KXZ4d3xKsoBYauk6YK3dQAjaJt0vQjTo2XOTdZoeLZ/MYbc8yOljaz25caPrfWOrimzk9vN2j50Y7zGSs7m3E5h1mcODdZZajkUHJNbq13eG6qiuaYvH2rS5ik1Ao2zV7MeLXACzM1pmoeP5nf4MZKhzBOcSyT85NVPtyPxNkdmRMnGWGSsbjhY5l9J/u27Z9kDpOfn5OTk3OkHFWx4v1GfOwnEkI/9iQG3Rcx2i2KcB6HIqijbcW8DLbfLQDfazwDJ3wUifA9QNOklNMrSgzLuZd2xsbslxs+yHifPimC/PwVcaVr2lZ5qOOII71ckfLSLBZh1jBlbLoubnKVQasOn/8jWTQAqAxJjvnA9Z1l8OU/Fee8V5T7ekU4cUZE/72E3YOE2fqqPO7Tc3L77vk6jNh81ELyo+AwBZ43L8u/RyYebcnnk1p6mpNzjLw4cYZTw9NcWpu/57ZRFpNECZZhUvPKZErKlRQKlLw0KBTDXgU/DmkFHTKVodBohT4Fy0VDY7WzwWhpiCRN2Oi1ub6+QN1v0Qo7DBUqfOHC1/nl5z54l4P8MIWYP1u+xt9/87efGPE8U9kTl7mua/qeJa2HjcDJOR6exOdKTs7jJhfRc54JdE3bFMRvrHaodwJ6fSe0HyW4tsnZySoVz9rhAJ8bK/OpN09tCrBr7eDIBNdrSy1urLaxDJ2iY2EYJmmqJEIlTDg/VSFKUhbWu9xa70jOuaZhmQa2icS4KEWmIEpSon7pZpxmZBmYugjsnSjm0p0Grm1SKdjMDBewTYOSIznj2+NVdA0qBZt6J6Bq2Giahmno+FFCFKe0gpjnp2u898woa62AmyttPMekG8Y0uiHNbkiYZhQds1/Ek1HvBHR6EbWiQy9MdjwWu4tIm36EoWnMr7b5V3/RIIgSlps9VpsBJ0YKNLshtqHT7MW4psHsSBFN06iVXN57ZoSVZsCvv3enwL9fZM5Ks4dtGPz8i5NUijYF28S2DDKlnlhR+rD5+Tk5OTlHzsMWRz5oxMd+IuGLr8PFH0G33c/8NiSyxLTEZZ2lUqz53HtEWN/tzD3MePZzZSdxPxtdwfDoTgEd9o+N2V4qqjIZd6MuTnPTEnHc70BzA1aXwDRgsA6QJpAq2UbX+6K6IZnnmZLz1zQo12S8t65B1JPcdLcgwnymxL1/4x04/cLBJaG753yQ+Z6m8K0vi/N693wdRmw+DiH5uDlMgWfYj3JwHkPJ59Na6pqT84BMVUY5NzbL1fXbm1nmB5Ehn5nCJEbTtM2+KAVYhoGORqxSxkpDpFlKNwrQ+v9V3SJJltGOuvhRwNdv/AilgcoUhq4zUqhxdniGHyxc4p3Vef7We36ZN0++vCkkLrbWuLa+QMl2qfstLMOk7BTQNO2JLMS8tr5wV+zM6eFpPn7+zcceMbNXSWsegfP4eJKfKzk5j5NcRM956hk4d9NM8dEXJ/ne1VWuLjXRdY0oyRgpucyOljbztHeXjM6NlTkxWjpS92+mFD+9VSfNFNWCgWXKGy3d1KgaNs1exI2V9mbJaabANnXCOCXLFIauYejiFM+yDD8V1/dI0WZ6uMj8apsoVf1WeikfdUydeieg2Q2ZrBU2s9x3x6vMjZbww4RmL6JgmyglLveVVo+JquSn//tvXNsh5NYKNivNHkmWMVp2EQ88mLpOwTZY74TEaYZtyXkOFic+t62INE0zkkyRZpJzXvFshkoOs6NFFjd6XF5sESUZtaItj9lIkWpx68OqZ5sYusZo2d02bxKZ0+xFnNxWOlp0LE6NmVxYaPCfvz9PrWQTJ9kTLUrfT35+Tk5OzrFw2ALG3TxsxMdeImGWwdqyCMRBT0RM3ZA4lXJNtm1uiJBequx05h52PPu5spNYnNleUYTk3e8H9ouN2SwV/UlfmA0l1zzLJAd9MMf1FXHRWy7oCaDk36r/Xdf6Oe2+LBBYtojwcQzmHXj+PRIbE/gi/iax3FfTJfolSUTMPv0CxPsIu9vn/NY1+N5XRKgfHt/KTN89X4cRm49LSD5ODlPg6fSvkHgUJZ/7XUHxNC1M5OQ8JEEcQT+S5SC0/lZKKTRNI0kTMhRoYGoGnuWKqJ5leLbLcKFKLwnJVIapG2iazkx1BNuc5tr6bZbadRSKgulQK5QZLVRY6W6w0WvR7HW4tbHIrzz/QX75vLjSL63c5OLKDTQ0MpWhazpF22WyPMJIsUbBcoiS+IkoxNwvdubC8g0W2+t8+o1PPnZxdFDSmrufHy9Pw3MlJ+dxkYvoOU81ezl3i47JaFmEc8eSf2+PFBkUW/bCrcvAdU3bFGaPgpVmj3o3ZLTi0glibNNgIDxrmkbBNlltBbx0YpgTI0XKnkXFs+kEMXGaoesGgxEnGSSZwrN1JoeKvDBTY3HDx48iSo7Zd6pL9EvFtVjY8PFsgyTLyJS6K16lWrB5YabG/FqHVjekFcTUCjavzI1wZrzMty+v0OxFjJYd0kxc6O/c2aDRDXFtUz6naxDEKS0/JIhTwjglCFM+9/15fv312U2xd1BEOl5xubPRpd4JSVKFocullRudkF5k8srsEPNrHTa6Ec9NVxmr7MzCg72LXrdH1ezevtWLqbcDumHCWHWUiWrhiRWlD1oMKIyaO66eeFJd9Dk5Oe9SjiriY7dIePv63XnlpiXCtqbJtrevwUc/ASe3Rbis3IG//M+wvgInz28dc7/x7OXKNi25HU0E+u0clBse7ioV9Txxd/e64py3HYlkCXsSF9NtiQPddkSAVpnksGcp9Px+qWpfPO9tKxtNItmu15XxuC6Yffd72JP52ViDkY29hd3tIq3twsJNEd6nTx78+B1GbD4qIflRcpic+JPn5d+3rh5vyeezWNqak3Of3GmustBc6Qt34YFu9IHMnqiUMI4wdQNd07ANi5Lt4ceh/E6XktEgifBMG8d0GClWec/UOZIs4ydLVzA0Hdey0YDx0jBhGvH28jWKlsdQoYJdsulGPt+68RPeWZnnw6few3fm36Yb9ai5ZTTNpO43WWyvca2+wLBXoeZVqBXKj70Q8zCxM1++8l1ODU89dsFa1/QnwrX/buVpeq7k5DwOchE956llP+furbUOG52QyZrHcMmhGybESYZl6hQdc08x9ijJlOLWWodGJ2Sy6nEryWj4EUXbxDR0kjSjG8YYusbLs0NM1ArMjZZpdCIqnk29E9KLEmxTJ00zupGI/cMlh7mRIr0oxdA1HEMnTDJMQ0o1O0FMpxeTZIrlZo9/9RcXeW66xkeen7gr+73kmpweK3Hb0DgxWuI33jvHe06P8O+/cY1mL6JWsLm+0tnMPk9SRZRm6EkmkSy6RtOPiFN5U+taBrZpcH25xWe/c4PffvMU33xnebOI9Ke3G/T6ZaSZUvhhQpikVFyLJM1YqPucHivR9OvcrnfxbJOSa22+aO9X9Lo9qmY7Sinm1zqkmcK1dExdx9C1J1aUPmgxQNO0u66eyMnJyXliOK6Ij/3yygfEoQjcJ8/Jfgfi441Lkl89cJRPzko++EHj2csJHwbwpf90+ELHLIMf9ktF01QEctuRks84gl4HUFAblgWCJOmL5KY4yA0DUkQIB9k2TeR+mg6mKcdIUxHpO21x5hdKkCXyjl4zwNJlnN2OLCS8+PpOYXe3SJulsLYEJ07f+/F72FLSJ5XDFHi+8RHZdmP1+Eo+H/aKjvvtJHiUPMljy3niuLGxSDPoMFUeZbW7QSPo3PM+Cul9QgNTN9E1nQxIsxRd0zYLSHUNQKPmlXh58iwlp8C3br5NK+jgmQ6mpqNpGo5p0UtCwiTGNR1sw8SPQ5pBlzTLmN9Y4ge3L1BxSowWamwEbcI4IlFp332eECQhd1qrpCqlF4fHPGsHs9ha43r9DpPl4T0/azxpsTM5j4/8uZKTczC5iJ7zVHKQc/e5qSqrrYCf3W6w0uzRDpLNEsyyZ2HqOq+dGtkhxh4VA2f8pTsNbq13WW0FFByTgm0SJhl+lEgZp2dT8WzOTFZ2ZIgDWKbOarNH04/IFOhI1ItlGoBkohu6xljVpdVL6EUiJDc6GaapM1ZxSDNx3G93Xe+V/f7q3Agffn6CE6MlfnqrzoXbGxgGXFxoECYpRVuy3HtRgo5GFKeYJZuNbkQYp1iGhm0aOJaBpmmcGClS70b8+Y9uUW+HjFVc/ChlrdWjFyWkmcIydBSKLEMWBAzF4oZPEMe0ezF+mLDaDBituJweK+NYBistyTef68fuDOJ2dkfVDOiGCS0/wjZ1MsVmnA7cLUqPV73HXuS532LAgL2unsjJycl5IjiuiI/7EWy3i4+OK8d0C+IK73Ul1mQgpO83nr3iMg5T6DgQBxdvi4Bfqckxwx60m7KNYYrYrRmS8Z5lUCwACqq2uMyjUO6j+r5K3RCBW8Fm3MvgeAO3epbJd5D7m5YI7pom4q7r7hR2b9+AL/yhjGtoDCampUy03YSFG5I1P5invR6/w4jNDyskPy4OW+B5XCWfD3tFx5PsYH+Sx5bzRDL4a68AQzMOfb8wiRgqVBgqVGn4LcI0puKWsAyTTujjWS5jhSHW9AbjpRG6YY8LS9e4Xr8jPVNajyCJsQ2TNEvxo6Avnge0wi7r3SZRGlOwh/Ash4XmKpYREmcJ7aBLnCa4lk3Wj5bpRAGT5RHKTpG/uvp9zozMPDbnrh8FhEmEZ+3tiPcsh5XOxhMRO5PzeMmfKzk5B5OL6DlPJQc5d3VdZ7rm8aObG/hRwkjJwXMtwjhlod6l6FicHi8fuVC63Rk/XpUYl7VWQDeMcS2TM+NlXNvENDTW2iHPTW25qrcXnF64vUG7F6FrGtWizamxMqvtHivNgAu3Nzg5VsbQdQzdYKxist4JsBMdy9AZKbvEaUaUZFQ8m6Kz5br+3Y+c5W/vkf1+e63DH339Khdu17my2JJCUxRjFW9TfC46JiXPpNGNQEHJNSnYBr0oJYhT2kGMZ5vcXJXH5NZahyxTTNQKNP2QThCjlGS9o4GmAE3E7TBO8cOYLMsouRbnJqssN31WWwEbnZCJqoeh66Sm4ktvL/C1i0ubueYnRks7omoGz4U4zUjTjBjFaNmjuOuqg4EofW2pxZffvvPYizz3WwwYcNxXT+Tk5OQ8MMcV8XFYwRZ2io+9bt/drck2naaId6XKlrh82PHcq9BxuzjY3BAhWilxoI9MyM9xJAK3W5D7/9JvwvV3JBZkMGde362+uijbDpzpWdpXk5SIrAOSuP9DX1w3DRHQ0xRULPEvjgcf/tUtkXLhBvy7/xGWbss8NhsyJ0MjEi0T9HbO036P32HF5uPguN3MhynwPK6Sz4e5ouNhHezHyZM8tpwnlrmhSVzTYbG9Bkpt5p4fhAbouoFj2kRJhGc5VLwi/+37f5PnxuboRj02/DY/vPMO3775Nj9ZvEzSX4TMlKJke2RZiq96BEnKSqeBHwWbx15orpKpjOFChZLj0Q0DUpUSpzGNoE2UxKAgTCM0dHRNw9B1JsujnB6eeuzO3YLt4pg2vTig5Nz9Wt2LQ2zTeuyxMzmPn/y5kpNzMLki84wyKNt8nO7a42Tg3HVMdzNH3DL0TbG0E6VYpsZ4xSNOMzpBjKHrnBguYhg611fafOD8+JHNyV7O+LnREi0/kuzwJGSlZXB2ssJaO6RWsPnw8xM7jj83VmZyuMD/+/NdWmWXEyMlxiouuq5TLTrEyQYb3RBro0vZNVlrh+g6OKZk/5U9EV9l4cDdzILfHQWyPQ5ku/BfKzq4tkHTj9DQqHdCRsoariV57iXXohvErLZl1TmKUzI1KPKBNM24s+HTCWIKtknBtQjihDiVOBjJhc8k8120dLmfUmR94X6k7DI9XGB6uEAniLl0p0G7FzM1XGC86uFa5l255gMX/43VDkXHRNc0umFML04pOiazI8U989XjJOMrP1skzrLHXuS5O7d++3j3i7LJycnJeSI4zoiPwwi2a0s7xUevKEJwqy4iulsQAa/XldvudzwDh/pAwL1zc2fcy0AcdDyZgyiS+2WZuOItW76aGyJ+z56FmVPwuT+A5QUIbNkuSUT8Nkw55vYMYLVbPtomKaX9IlLdkPMNfCiaMDEDc2dlmzvz8Pk/FAG9WBGHepLKHPW6IvrHoTjSe92t+Jz9Hr+jFpIPI44/KjfzYQo899vmYUT+B72i46g6CY6Dg8bmzErs0l9+Dn7lU1IY/LiuYMijZp44piqjVL0ii61VMqUOUS8KBcslzTIsw+C9M89j6gbr3RYvjJ/i/Ngc19YX+NyFr9Pw25wfneu7ykNMXSfOEoI4RNM1PMvFj3p0wi66Jp+xUpXRi4N+TIxBmES0Q3Ge+3GAoelkKsPQDHRNBHTHtEgzxXJ7jbJToBl0uF6/88AlmZnKHrhsM1MZmcooOwWub9zh5YkzO+6rlGKpXeelydNMVUbve2w5zxZTlVFOD09zYfkGZ23vrs+l+XMl591OLqI/g+xVtvk43LXHieeYxEnGj2+u04vSzbiWSsFmtOzQ6IRUPJsXT9TQNG2HyO6HyZHnS+92xjf9iFvrXeI0oxdJJnsnaGMaOq+fGuXDezwW86tt/uyHt/nBjXV0DYK4xUorYG6kSLXo8OKJIa4uNal3pLBU08DQdCZqBe7UO2QZNMMI1zKZ3RZxs18UyG7hH6DkWtQ7IUVHJ0oyWn6E0z9WL0rxbIt2LyJK5e2sBhi6tnl7EKd0w5iRksNz0zWWWz3Krrjv00zhmDpJmpKk4kLP+nnraODZOwXvQSZ6O4h5texuOrR355r/7kfO8sHz4/zJd25wdalJ0o+7MXWdgmNSKdg7zlspxUorIEoyDCPl1Fj5sRd5bo/0GeTWu7ZBEKWstgOq3t2LLjk5OTlPBMcd8XEvwXa3+KhpMDULQVdc6LYnAnWnLSLkg4xnt4BrWdDaADQ484Ics9uWfZqmCNudlty30xLBPe7HtfzV5+Dnfx1+4+/AH/Wd4UkEaSZiu1cQN3ocyX7vEtB3kaYyHr8jwvLIuAjxZ1+UeRoIma1mP+bGFae7pYPZd+obBVkEaDcly93x7v34HUZsfpC53UscfxrczA8r8j/oFR3H1UlwFOw3tnYTFm9J3NKdm5Izf+q5xxPvkkfNPJEst+vYhoVpmASHzBKP0gSlFIutdYr2LU4OTeFYNgXbvasosR35FB250jVKYsIkxo8DRotVkiwjVRlpmqCAOJNIS12TYtKVTp21zgZRGqNQREmMUrKsaeoGhmGQpAlRmlB2iqx1m6x1f4Jr2fyHH32Ri8vX+fj5NzkzMnPo+bi2vsCXLn+H6/U7hEmEY9qcHp4+1H6233e922ShtcJSa52XJs4wWR6mF4cstesMFcp87NwH8qLIHHRN5+Pn32Sxvc7V9QUmy8N4lpM/V3Jy+uQi+jPGfmWbj8Nde5wEcUq9G7LeDhgruxiGSZoq6p2AjXZAqxdxcqy8o5xywHHkS2/PtG76ERcXGgRxQtm1qRZsgjBlvRtg6hofem78rsfgxmqbP/zaFZY2uiilqJZclJLz8YOYF2ZqVIsO7zk5zNWlFr/+3jkKjsnFhQaXF5uEcQYkjJRdZkdLVLcJx7ujQAZXKdxa63DpToOxSr98Nc0YKTksrHcI4gxT1wniBD+IaYUxQZhiWzpWXxAHSJXsz9J1DEMjSlLCKKPRjZkdKRLEKctNH9cy+tntCsPQ0TTQ0ejF4rQr2CbPTck5DuiGCX6YYBmaCO3b2O6w/+G1Nb59eYWCY/CeU8MYmk6qMlabAevtkAu3G5wcK+0QpaW0VWe86t31/HhcRZ7bI32259afn6zuueiSk5OT88Rw3BEfBwm2e4mP5arkoA+EuigUEfJBhLq9BNxGXcRvryi/L1dFOLc90AJxlPsdEc2zDNDEbW5asHAd/uJP4H0/D7/4m/DN/ypjL5RkvFkqgrthyvaBv8eg1JbAnqVyX6VE/NN1KNe2hO+BU394DNoNcaBb/Q++miZO/SiCsUlxyjfqUkpaLG89fpMnZD9H7dQ9jDg+eeLJdVrfz3nc6zn3oFd0HFcnwVGw19jaTbh+sR9x1F8QcNzHsyDyNCzOvEvphD51v0XVKaGj0Y72+ju4E01j0zm+1t1gvdvkY+fez1Rl9K6ixDhNMDSd6cqY5Jn3Oqz3WiggSmI80yHS9M0y0UxlqDRFQyNKY7R+arupm4BGoiRiK1UpWqahgCzLCJMIpRSpypirTTBVHuHC8g0W2+t8+o1PHkpIv7a+wGfe+gINv90XM116cXCo/ey+71R5lNFClZ+tXOdHdy6xXptguFDhpcnTfOzcB+5L2M95tjkzMsOn3/jk5gLMSmcD27Ty50pODrmI/kxxUNnm43DXHheZUnzznWVKjkWWZnSjhKJtYho6BctguRWgFIxWnLsEUjiefOlBpnUviplfbdMNYgqOgUJh6Dq2pTNUdFDAty6tMDe2lcl+Y6XF//BfL3B7vYOpQydISLOA4ZJNrWDT6LvaKwWbMM6oFBzOTVWZrBV4/fQoyw2fP/n2DRbqHZ6bqqL3P0QqpegEMfNrHc5OVBmtuDuuUtjoBFxfaXPV1DENHUPXMDQN1zYJopRMZYRxxkoWECcpCggTcWUYhpjmNCWf7ZI0Q+u32WuavJG9vtrht988xTcuLlHvhIRxhi7JMHiWgWnIceudgOnhIpNDO8XqQba7bRo7ikEHDBZDvnlpmeWmz3jVwzaNbTE2HhcWGqCg6UfcrsfoGsyOlnhhpsZ/+eFtgjBFKTbvs3vfj7rIc26szIk9cuuf5v9fc3Jy3iUcV1b0vdhPfCxXRQi+eRnGZx4sMmK/OArTFHEyTbZyxE1LxEDHlUiU5gYY+raiUw/QROC+8jPJRR+fBtV/0YwjccwHPgyNi7u8vrqPiK7Jl26AGojuluzn5PmdCwUDIXNiWsbZrIsDfXAuhglhv1jU9bbKSStD8PqHZJsv/Lstp65pSvzLzEkRdc+8KL+7X3bP7UAoDnsyX62G3P6BX9hyM4MsTiSxjNMrHr/T+l5RH0cVp/KgV3QcVyfBUbB7bErJQlEUyvkksTx3imV5LB/lgsiTHIOTQzfq0Q66ZEod+j1wnKY4ho6hGRKvArSjLpdX51ntNgi2FSVahomhGyRZimPaWKUaKQrHsGgFHeI0QZFR88rYpk0n9MmyjCiTzwUakKE2I1wGv0uVQqUJpmGSqoQ0SzF1gwyNklNEAWeGp7lWv8OXr3yXU8NTB7p5dzvoN6/WdQqctT2uri/su5/97jtTG2eqMspPl69zcniST7/xSaarY7mrOOcuzozMcGr4dx44Rign51klF9GfIQ4q23xc7trjYHCeJ8dLJEmB+fUuLT/CjxIMXWdqqECnF9PyY6Zq6pHkSw8yrb97ZYWF9S5ZJgK2rmk4lojLk7UCJ0aKOx6D+dU2f/i1q9xe71ApWLimQZz16AYxaZoyVvUo2iZNP6ITxKx3wh1j1zWNqaEiv/m+OT77nRvMr3cZK7uEScqNlTarrQBD13BMg//5zy9Q74RkSjFWdukGktfuhwmuZTDeL/AM4pRIz/qODhHWIyVvDEHE892kCvRMididSTTLaquHaxn8nY+e44XpGp//wTx+mDBcsjENnbQ/R7ah41l3/ykydYnhqRXtu4pBQRZDOkHMjdUO9N31g0ifub4b/+RoiTv1Lo6p09U0sizj1mqHC7cbLDd8FtY7OJZEvgxicwb7flxFnnr/uZKTk5Pz1HFUER/3e8yDxMeRCfilvwbjU/e/7/3iKEyrn12u7cxbH2SxewWJd6mNQKEo23Zb4vpevCXiYZaJUG2YEmlRX5X7xaEIxUMjcntrY++xyYs0ZDqUh+C5V/deKBgImVEkiw29fsyNW5Bjd1oiWBdLMPMSjIyJ6Lm+DH/6B7IPlckcxGtw6W05F4BCGaZnxbH72gcffG6XF2RRoduWedF1GZ/fFaE+isAK4NY1GW+W9jPgK7I4EEfH47Q+TNTH4DxqozK3SSLCsFe8/ziVB7mi4zg7CR6W3WPrdeXxc4tye+BDdfjB5upheZJjcHLY8NsESUSUxvTble+JQhFlCa5mU/MqREnM9+Z/xnq3iW1YLDRX8EyHmeoYZafAkFdmtdtg2DBJ0hRDMzANC6UUYRqBgjvNFTKlMHQxRg0wdZNUpZtZ4zqa/C5L0XWNOI3JlMLUFYnKUEpxq7HEaneDIa/MRGn4UEWjux3029E0jcny/vs56L66rnN6eIpG0EHTtFwUzdkXXdMfWxluTs6TSi6iP0NsjxTZi8flrj1qtp+n4Wi8UrAljiTJsEwd1zK4vNjEs80jzZc+qKxV1zTOjJf5sx/M0w1jio65KRS3ejGWoVMr2ni2yXo7pBcmm1cONPwQzzJwLSnFHCq6ZFmPXpRS74SMVT3COOHWWofJoSLPTVe5udLeMYbtUSAXb29wY7VNminGKi6nx8pYls4Prq8RxinPT1e5utxifrVDnGaoTNED6p2Q6eECI2UXRcBGNwSlCBNF2hfITV3DD1MGOnrfC0f/YnVMTSPRFUMlG12Tx0rXNN44O8Zoxd10wXeCBMvUmR4u8trJEX5wY52f3tpgvOoyVHTY6EasNn1KnoW7h8CulOLmaod6J6QbRIyVPUxT34z08cOEF2ZqpFnGzTU5z5PjZaIo5ae3N2gFMSpTZBnYprYjNqdSsPMiz5ycnJynieOKk9kvKmMgmDfXAU2E00EWe68rArSmgeOIkNltgdXfRxyKG93vSJ55rysCut+GsSl45QNw50b/dx02S0RNS8RjhfxbZRLNohviaN9roSDLIFPglWReTp6XmJulW1vif3NDxvnqm1Ad6p9fv/jxB9+Qf7/3w7ByBy7+SKJqHE9c+CqVBYA//ley3f0I6YO5jde27dcRYT9N5NxvvAM/+obMzVI/6sYtgmlsFaN2miJyHrXT+rBRH0FPFiHqKxKDk6ZyuV6pIgJyoXR/cSr3e0XHcXcSPAy7x2ZZ/eeN1e8rcGWOBu/HH2X0zJMcg/MuJ1MZP7xzCV3XSWMRqTU07lUvqqNhGyZF26Mb9fp9WQYTpWFc0+bmxiJv3b6IZzkMFyqc7mejr/stgiQkzVLCNCROUxHA+1fYohRxtvXZ2dwsG5U/x4NPk6lKMXSdku3RSyPCOCJJEwxlUPVKjBZrJFnKardBO+wy5FXxo+DAc/KjgHCbg343nuWw0tnYcz8Pc9/D8jBlpzk5OTlPK7mI/gwxiBQJ4mSzhHE7j9Nde5TsPk9N0yi5W+fbDWJqRYdfeXWGdxabR5Ivfa+y1kwprq20GSm5EoWSKSKVoWsaFU/G2OhG1Ir25mOweeVA1aXRjUhThW5quJbBSNljoxOIkN4O5EqCiodt6vzFjxf2HMPcWJnpkSL/vy9eJEpSZkdLm5nwnSBGB9JM8fb8BrapkylF0TYJ4pQky2j1Ikq+hWcb/TesMFx2iRJFGCdYhk6YpJtvKEHePOpaP9YF8KOUSsFiZrgIaDuea9ujSq4ttXj71ga3Vtt898oq3SAmThU3VtoowDI0iq5FrWDTCeO7cs1XWgHdMKbkmiLk67KQoZsaVcOm2YuYX20TJSlpppgdLVGwTa4tt0mVYrrmsd4OidKMbijPo24Yc3W5xVDJpVbIizxzcnJyniqOI05mv6iMgWDeafbdx7GIp0EPer6I12kMy3ck+mR0QiJlbl8XEThL5ev2NckaD0NxL68uwugUvPheWF+Bn3xHjpem8rqrG30RcpuYZDvw6vvvXijY7qJuNWTf9VU4eU6E9NYGLN8W8fr8K1sC+oCgfx4ggvb1d2TbQlFedA1DxjU8KhExX/yP8PL7Dh/t4nqy7aW3d+4X5LtSsuDwna+KaB6FModW//2epYNRkfmrDosT/Ki4n6iP5obMLQqKVfD6An+zLs+NqZP3H6dyv1d0HHcnwcOwfWw3Lom4D1AbFgG9XN3a9lFGzzzJMTjvchZba6x3N3BNmyAOsTAIkugeErrEq2horHQ2sAyDsl3AtVwc06bsFnnfiRf4+o0f8/3bF/jQyVeoOAXOjczy06Wr9OJQOpWyDF3XMTMwdCkSzXYdWSklaVqaLlnpiAveQj5bRVmCY9gkaUaqEkzNZKQocZu2rjNkmKx2N8hQuJa998n0Kdgy/l4cUHLufp724hDbtCjYdwvlD3Pfw/AwZac5OTk5TzNPt5qas4NBpMiVpSaFUfORxJg8Dg57nq+fGeX1M6MPnS99mLJW2zK4tdbh/HQF09BYbQUUbAPD0LFNnTjJaHRDbq9rvDo3wnjV4+aKiLwzlSKVQkC9E1A1bDRNwzF1hoo2EFJyLc5MlNF12W/JNbENiwzF5cWdhbFrrYCNbsTJ8fKOhZQoSQmTVL7HKSXXoxuCbYrLIogToiRjvR0wWnWpFhyCSD48j5YdNroa3SAmSRWmoUGqGHR9Zv1+syyT/PfzExXCJNvzuaZrGlGc8r2rqyw2fOqdgCxTVIs2nV5MO4gxNB3XM3npxBCubXBztUO3F7O44WOZOrZpMDXkkaYZU0MFrq20qXcCagUd0NA0jYJtst4O8KOEyVqBkmvRDRNaftTPP5fYl04QU3ZtgjiV2NNOyEuzQ3zitdm8yDMnJyfnaeOo42QOisooVUS8rQ6JsH3zsoiplgXv+SCsLogTGF3EVL8j2xmelHfGUV9sz7aEuqAH85dF1LNtcZBrXRGVw0CEPdV/0UXrl4hWReA++9LWIsKta/C9r4g4PTwupaLlmpzHtYsyR5WaONNtTyJcdpNsu2pxY0WiVhxnl9AtZXqUq+JUv3ZBYmX2Ynu2uO3Im4c4koUIx9vab5rIQkSaiIiZxlvC/OoijIxL1Evaz48vlmW7xtrRPfaHjfpYW5a5Ny05P9OU2y1dcufbDZnzN3/p+ONUHlcnwf2MbW0J/uKz8lw5eX7n2B519MyTHIPzLsePAppBF9uwKFgumcpIVUaYxve8b9aPTrEMk3bUIwOSvot8uFDljenneWf1JtfW7wDixv7o6dd5Z/UmBdvl8uo8qcowNJ0giQji8K5jpGSoJMYyTEzdIM5SABKVYhkWdv/LjwNMDGzD3OHO1kC6oRWbBaWDse92dU9VRjk9PM2F5Ructb27PvMuteu8NHmaqcrdi4gPc9978TBlpzk5OTlPO7mI/gyhaxofeX6C1WbvSGNMnjTu9zwfJl/6sGWtHzg3RpSkeLbH3FgZP0oJ4oSCoZMp+azYDmLmRkubYxs46sMkZW60hB8mNHsRhqbhRwl+kBClGYauc7vugwLL1LlT7/YvUdQpexa9MNksjN0r0qfpR1xfbtPoRoSxOMmbfkySZcRhRpYpMqXQNHGTTw8VKTkm9U5IkioMQ6dasOlFCWmsMHUN09DJkr43QxMxvuCYmLpGmGYUdJ25vut8+8LF9gibNM1IU9V3votLPssUJU9HQ2Nxw+fl2SFenKlxY7XNVK3Ix98zLa7xIOZ//9oVXNtkbqSIH8Q0/GizYFYpRTuIMQ2d02NlNE0jTjLSLMPU5c/eoEz19ERZHoc4Ya0V8PFXZnIBPScnJyfn3lEZY1Pwsd8SUfgvPrtV7Knr4jRfX4WgLUJxY0Mu3Qp6ItJZtsTC9Lpbbd22LeL10i2YPtmPv3BEvO4LNSIoayLaahqceUEE7r/6PJQrsHQb5q+KwDw2JWOLPck8f/3nRDScmIFf/h3Z359+Zm837nZHeZrJ8Yxtv1NZ/zIwXbbttKDd3Hset7vimw1o93Peo36ZKr1+JpwtxaJpIsdyXJkvXRcXen1VXPWD26vDEmXjd442duOwUR8rt8XNf/KcxNpsz5pPE5kzpeDM849GzH4cnQSHRdf7sUO/KTE5S7ceb/TMkxyD8y6nYLubovNEeYRm0CHJDieip5l8NsmUwrMcHMPiRn2RIa8iJiXLJlWZRK/0jxFlMbqm45gWUZqQqQzPdIjSGNMwUVlGrNJBsBYgrvckk/iW7di6yXhhCMd2SFRKkqZEaUyYRNiGSZymdKIeRcdjuFCl1xfpD3J1f/z8myy217m6vtAXrB16cchSu85QoczHzn1gzwgVXdMf+L4H8TBlpzk5OTnPArmI/oyxPRv7KGJMnlQe1Xketqz15bmhzYiZasHmhZka82sdWn5EL0pQCmoFh0++Mbc5tu2O+pOjJV6YqXHpToM7dZ8kEyfFUNHm7GSVi7cbRGlKybWoFW1M3STJMja6IYamceH2BivN3l1RN00/4uJCg14U94XiFA2JZ4kSSTI3DTkX25DLGG+ttRmrFJisFVhu+KRphmMZjJRcwqTbF91F0Lf7We/0SzujJCNOFL0o4UtvL/C1i0s7ImcG81l0TW6stAnjjHZPBP0wTjF0jV6UUvJsmn5EN0wouRbjFY+NbkjRsZisFVhq+FvzXXRkvrcVzCoF1YLNSMnFtg1AxmvoOkmWYRkGSX+BwjYNib0BKgWHont3FFJOTk5OzruUw0RlrC1BryPOVl0XMXlloe+u1iFLIPZFRI9CKeQs1xA7oi6xKGkijuxiWQRpEGE78EX07rbF8awBaGDqEv0yNiUZ7G9/V36uDou4bruSrX77ujjaXVfc87VREZ11/WA3rlvYEhCLFfk5TUToRkmEjePJmAJfhOPt0RwDtmeL2w50GuKqH6QJm6YIzUEPjFhEdcuSfat+yeigyHVsUhYd5s7JuXhFOXYcHW3sxmGjPpTWL2ydkfEu9rPms55E7wyNytgrQ3fv493KkxQ98ySNJWeTqcoop4anubR6k4pWZKo8Qsn2uLp+m1RlB943VRmmblCwXEaLNXRNZ6PXph36pFnKj+5cohv1eHXqHGPFIXpxwE+Xr3Nt/TaeadMJfeI0JkmlNNTUDZSmk6WKrH9suQ5IoltUKoubpmbgmTZRljLfWkJDR6GwDQurL543eh0M3WCsVGOiNIJCUbDdQ7m6P/3GJzdF9pXOBrZp8dLkaT527gMHOr7PjMw88H3342HKTnNycnKeBXIR/Rlke/b0w8SYPOk8ivM8bFlrwTF3RMxUCzavzA7R7d9/pdnjldlhXj8tl8wNSkpPjpa4udLmxmqbsbKLY+p4toGmGXi2yStzw2RK3A5pqlBKYeoSwWIZBrWCzkY3ZKnh0w1jTo9XNsfhjRjMr3UI4oRawcHUdTpBvNkGqhRouiLNNAwdbEMjUxrtIKHgxPztj5zlj752ldV2wGjJoeAYlF2LdhDjGRqubTE9XOTl2SG6QcylxSZBnFIt2kzUPFzLvCv2Js0UUZKiEmh0I3QNbNNA03TCOCVTEMQpcZKhaRCn2Y55HpTi7o70qRadzYLZKE5ZafV4eXYYgKvLLQqjJkXHpFKwJTbHE7f/SMml6JjPVNxRTk5OTs4Rc6+ojO3OZaVETO12pHjTNEWQjSNxg7ca0G1CqSwisGGKMDwQuU1LROakL6pXhuTfjgeFgvw+iuXnk+fl+Ourss3wuAjhUSj/zvqFJSoV8btZFwG9XNtyeB/kxp05KfcPeyKqD4pOs1TGXarI+bab4pw/8+LOedueLT45C1d+JvNQlddn2g0RLZNY9jeIQ3ELgAK/J8cYGZcM90JZFh3cghR2KiXu9LEp8LuymHEUESaHjfqYmN4S28tVGesgI9/sL8j7nTxXezdPUvTMkzSWHEAc1L/zyi/y1u0LrLTrTJSG0TR9R/QJbBV6bk8sd0yL6coYSilc0yZDkUYpURJzs7FIs9fh5PAUE+VhNDTiLMWPeiRpgq8UFadAvdcmSmOUUv1CU9lvGMekyBWtRcujG/no/c9kuqaTqIxMpRSMApnKSFSKHwdU3RIvTZ6maHtYhknJ9ri2foeXJk8zUR7m33znT+/p6v77b/42/+CDv/NAJZ5nRmY4Nfxg992LR1FYmpOTk/Mkk4vozyi6pj1UjMnTwnGf535lrUqpzYztNFN4trlnxIwGtHoxE9UCH3lhEl3T7iopjZOMMMm4EXRYbPT6xaIusyNFqkWH5aYvV3mbOmGcEacZtmn0R6LhmAbdMMEPkx1RN5cWm9TbAQXblHKbTFF0TeJE9qHrcmGibUqsSZQqXMtgcsij6jmcnazy6V84z//21cvUOyGWoWGbBgVboRQUHZOZoQK9MGGtHZJliqGiw+nx8r6xN7/w8hSWoTO/1pbMwv55ZP03qhqKDOgEMbWCjWXIG7zdpbj7RfpoQCuQ+f7oC3JJ81or2NxmZqhAsxuy2OhR8Wymhwv4YfJMxR3l5OTk5BwDB0VlbHcuq0xE5SQRh7ntyO+wRRA3LVhdEteryiSqRWUiJus6JFFfHF4Rcfg9b8I7P5b79HpgOZJhPihl9DsiMLsFcXAPRO8kkXGlmQj8GhJR0VyX/Q/K5Kbn4GO/Dd/4c4mCUZm44QduXBAh3O/CzUsiEheKci5ZKsK1V5R4mN2lotuzxQNfxHS3uK2osyi57QPhWSmZgziSL8uWuJpiWe7fbojDW9fkPnfm5Xuawuf+UM6/MgTnX4bZMw8uhh426mN08m6xvVCSfSgl981ztffmSYqeeZLGkgPAudFZ/uHP/U3+x2/+B1a7DZRSKBQ6OooMDR2p8xQJffDOfboyxvtnX+InS1eo99qbeeTNoMOtxjJVr8SZkRP9TxyK6+sLRGnCdGWMle4GaBqeadONAlIyojTG7i+I6ZrWj+jMaEddMqWoWgVGChXutNeI0hi9381k6iZRlOAYFmmWcqe5yvtPvEiQRFxbv7MZpbLcrh/K1b3QXEHX9AcWwXVNPzJX+HEXlubk5OQ86eQi+jPKwOn8LDvRHwV7lZg2/UiiWrohrb7Y+5dv3+GjL0zeM2Jmv5LSlWZAlKSMVVzOTVYpe9bmmynL0DENjSxTaEiB5wClFFEicSsFW/53HkTd/Ofvz3NztQMoTEOE+bOTFa4uNllpBzimTpbBcMkmzhSWrnNuskLBNblT97m11uED58eZGCrw5z+8xa31DpmSz65xIuJ7O4gJk2yr6HO4cGDsjQYMlVx+fHMduy/+q35JWqoyshQsQyOMU1zHPNAlfthIn+3bREnKZK3AcJLJ+HsxoZk9c3FHOTk5OXuyvdwxd1weHdudy8WKCMBpvBW/Em+LPinXoNWUeZ89K0J4koiA3WlKbEu5Cudehjc+IiL3y++T49y+JscplLaE6DjuR75Miyjtd3aOTddlLNkgBqF/OdrAv3lnHn70LRHiBznnlSF4/UNbcRaTJ+CDvwQ/+jZ89ytS4tlpint8+qQI6K998O552e7Q77REdN80ASD3tx2YmhXBudWApD+86hCcfkGODXDqebj8tuTHtxoyZ35f0B+bEoF74SZc+gm89XWYOSUC/IPGchw26iPP1c7JORZ+8ewbTFVG+MO3/gsXVq7R6LVBgW5Y6OjYholCEcQRURZjoHNudJbhQoX3TJ3n2tptbjWXKdkFgiSiZBd4bfp5hjx5r98OfTZ6bUq2h2kY9JKQmlumbXRRQCf0yZC+JqVJxrqpm8RZv1cqjdGAJEvJskxKTdFoh77ERRoWr06dpxP6rHY2eGf1JlWvvCNK5fLq/D1d3dfW7/CZ73+BdujflZd+lOWdexWb7iXUH2dhaU5OTs7TQC6iP4PsdjrbprEjl/pZ4rgXC3Y7nh1T5+ZqBz9MUCiGCjanxstcXW6x1gr41Jun+NsfObvnmPYrKS3YJqNlh8uLTTpBgq5rO96QDDK7W3606SjPlCJJM/wowTR0JqrejizvubEyf/2Dp1htibO9UrApOrIIYGga7etrJGlGpsTPMVH1qBVs1rsRl5daBHHK59+a58pSi488P8F//ysv7jin0YrLWivY/Hc7iPi3X75EEKabLvXt5zCIYwmilFdmh/irny7041vkQ7yOXHKugCRTaJrCswxWWz26ocTR7OUSP0ykz17b7B5/vsiUk5PzzLO93DGKxDk9OZtn/x6WgxYgtjuX11dELE5TcU1H4Vb0iaaJ47pcke/thrinNUPc5aYpj8kvfBJefH1r/6YJH/2EZIs36/L7gVhbX5Gfh/pRLmkKtgcEcmxdB/q/7zRl7OWa3LY9r3xoTGJTwlAy1r/0n0REnp7bcur+8u/AL/41uHZB3PblqkS47HagD9ju0DctmY8kBat/XmkionipIhEvcSwLBIEv8TOmKeMOezKmyVkpR505Cd/+stx3+qSM/+ZlOafKMARdOdebl2V+Budxvxwm6uMoc7XzRa6cnE2urS/wlatvESQRBbtA0fbIVIatW2i6RpTEciWrrmFpFp7l4Fo2G702ndDHNi3eO/M8n3j+56h6Jf74R1/ENbc+K8VpQpql/czyBM9yeXXqHJqmEaUxK506by9eRdc1TM1ksjKCHwUsttfQdR1Xc+klEZ1WjzRLsXWLguOiIfcHiYEZL81gmya/88ov8dLkmR3i9F6ubqUU7dAnThPqfoPbzWU0HU4PTe+Zl34UQvpBxaa7939chaU5OTk5Twu5iP6MsZ/TeXsu9bMipD+qxYKB4/lrF5f46oUlmn5I2bWoFZ3NyBWl1GZkye+OlvaMmNmrpHTT1e5HBFFCuxfz3SsrvPfUCLWSuBKKjslI2aUbJhQdg0wp2r0IQ9cZLjoYhs6LJ4buyvKeqBV4brrGlaXmDlF7cqjAyXaRm2tdxodcXjwxRJop3rnTJIgSkixjaqjARNU78HkzOMf51TZf/skit9Y6LKx3cCzJHp/rzw3sjGM5NVHGs03CJMPINOK+mG8aOpaGlJOmGdeWW9zZ8JkeKvKJ18b3fUwPE+mz1zbvhrijnJycHOBusXTYEWFz/srDiYzvFg6zADEQU9/6ugi+rY2tfO9SBRy3X6Dpi/hsWuJYf+cnWxna41Pw4V+Bl9+4ewz7ibXnXoaJE+IOV0qEZ9eVL78rznTLEoG2OixuaRAH+He/Is+JqW25315BokkW++c8eWKnkGua8Nyrh5u37Q79yVmZh1YdzH4BaeDL/CzclAWFsSl4/lWor8l9rl2E8mK/iBRxyF94Sxz5ywuyPUgGfRSK81vTxMkeBlAbkUWHvc7jsBwm6uMocrXzRa6cnE12l21OVUZJkoT5xhJKA8+0sU0LDY0ht9y/wEbjnZWbtIIuCkXVK3FqeJqTw9OcGp7irdsXd7inLcPE0A2iJKYbB4wVa1Tc4ubnJde0CZOY1c4GSilaQRdDNzg1NE0vDrndXCFMQhRIjIuuY+oGhm4QZwlRGvOjO5coWC6ZyvjJ4hXOjs7uEJd3u7obvTbX63fY6LVJ0oTV7ga2YTFdHtsU2XfnpZ8annoowfowxaa7hfTjKCzNycnJeVrIRfRniP2czrtzqU+Mlp561+2jXiyYGyvzMVPn8mKTU2OlHc5u2IosubnW5qe36pQc6y6H8+6S0qYfcXGhIXnrtoVnGyRZRhinfO/aGq/MDjFW9QiiFFPXqXg2I2WHsYqLoWukmTrQpb1fbngQpRiGQcWzKbk2GjC/1qYbxOg6lByLk6Mliq5FwTn4eTN4HBp+yHDJod2LsU2NeifAD2JemKlRKdg74liWGz6WqVPqF32maUamIMkymn5EphS2afDayRFcx6QTJHz78gpTQ4VnZgEoJycn55GxvdzxfsTSHOF+FiAGYurp8/BH/7O4obcL5oEvmeZoso+hERHAdUPc670u/PjbIg7vJZzuJ9Yu3ZYxLs6LcFwoiahuO/I4T81JPIpbEJF27pyMYZBXvvs9oaaJ2L44D1d+Kvt7EGF4u0N/6RYMj0KvI8I2CpxC35HflPHNnhHX/tikuOLf+bHMSW1Uztt1Zd5uXYPVRbmPyu7OWjdMmZ80lfNYuiVjOM7c64fJ1c4XuXJyNslUxpcuf+euss3nJ04RpBHr3SYF2+XF8VNiLAp7mIYhfVVRwLnRWcpOAUPTWW7X+cxbX+DTb3zyLvd0wXIoWC6LrVVGizVOD09vHmsQS3J25AQl22OsNESaZVi6QSPocHHlBgXLIckSsizDMiySNKEVdDF1g1RlmLpBnCYoSzFWGuJ2Y2VzLAORebur+8eLV1jrbpCkKY5p46cJGhq2afH28lXeM3V+M4pme176YmvtgfPO95vrwwj1R11YmpOTk/O0kP+Ve4bYy+k8YHsu9Uqz95hGeDTsXiwoOhaGrlHsi7/NXsQ33lnejAo5KoIoxdA1JmoFSq511xyHccrVpRb//hvX+MxXL/O//OUl/ujrV5lfbQM7S0qVUsyvinDtGDoKRZopSq7Ne06O4FgG11fa3F7v0urFvHZqhP/rL7/Aa6dGSTPoBAlpBs9N1Q5cMBi46M9NVmn14q39nZT9vefUCCutgMWNHoauMVr2eGGmtukgP+h5s/1xODVW5uxkFdc28aOUgm3SixOuLre4sdrZUdoZRClDRYeiY27G0Xi2gR8mRElGwTYpuxYlz2as4nFq7Pge05ycnJxnnu3ljvuJpQORMWcnuxcgvIII3gNhutOS2zfzxhEx9eX3w9/8ByI6tzbkKwpFjC5WRDAvFCW3e3gMasPyfRBNsnuf2xmItSdOy3dd33Kpz53rO89tQJPb5s7C+LQ81ku3tnK6o0Acz46z93GiEOavwp/9MfzpH8B//F/hC/9OBN/7YfvYQKJkHFcy4l0Pej6MTEj+ebnvUFdKxPOgJ/MxPi3ztTn3szKHCzclAmZ31vogJsY0JeomjmRfTyIP8hzLyXmGWWyt7Vm2OeSVeW36OaYrY7SCLqvdBonKeGnyNKPFGplSvDJ5htnaBDWvTNktcnZkhobf3hSCP/3GJ3lx4hSNoMP8xjJDhTLj5WGqXhnLMEmzlE7oc3V9gaFCmV84+wae7WLqBrqmcXntFt+ef5vl9jpxX+QW97mOpmkkWUqUJpiagWfaEvNiWjw/dpJzoyc2x5Kprf+fz4zM8N+89xMoJMYFIFUZQ4UyVa/EVHmUII64Xl/YLFIFyUuPkhg/Co58ruFuoX4vBoWl58fmmKmO5wJ6Tk7Ou4Lcif4MsdvpvJtBLnUvTB7xyI6W+1ksOMrIju0ieNGxdtzW7Ib87PYGfphQLVqMlO52xp8YLW2WlNq6xs21Dlmq6ASx6BoKpoYKTA0VqHgWK62AT7w+y+xoadPR/oHz4/edAX9QbvgHzo/z/aur/B/fusaJkdKOQtMB+z1vdj8O1YLNCzO1zXiaLIN6J+Sl2SE+8drsptDvOSa1osNQ0Wa1HdLyI8I4oRelFB2LsmcCGpYpb8SO8zHNycnJeebZXu64F7Yr0SBPqsj4OLmfBYjdLuTXPgijE/D1PxenuMqgWJZIlaXb4ja/330exG6XenMDrr8Dy7dhZeHunO61pa28cm/X62q7CVd/thU9Uxt+OGf07rHZfTf+ravw1f8Cc30H+uDYg7iaRl3m7fo7cOr8lsheKMk8bayKwL49a30QmVMdlqLVwJdzd/d+b/zYeZjnWE7OM4gfBfuWbQ55ZT4w9yIXV27yqVc/xosTp1FK8f/5xh8fSgjeyz3di0P+8sr39owlOTU8xU+XrvK9Wxdo9Nq0Q580SynYLlGakGTy2cgyTWzDIs1S4iwBDeIsxbUcXhw/zVChArCve9yzHEYKVSbLI1iGiWWYoBTfvXWBJEsp2R4bvhy/4hQB6MUhtmlRsPcuJX3YuR6Ma6Wz8VBCfU5OTs6zRi6iP0McJPLCzlzqp5nHtVgwXvU2RfDCqLnjkr+bax3aQcyJ4SJjZcna2x2j87v9vPZryy1+NF+nFyUUbANN04kSKeT0o5SWH1HyrL4z3N0hGh8m/3sv9rufrmnMjpYYKrkYhnbXm0/Y/3kzeBxs02W56RNGKY5t8NKJGr0oJYwT1loBH39lZodTfvs8vnyihh+lrLcDri61qBVt2kHMSEmc6gMGj+mttU5eBpqTk5NzP2wvd9wtloI4kp9kkfFRsrvY0e8+3ALEzCn4W//93fv83B/u7wB/mEWN7ZEiJ05LOel+Od3b88rdbTE/SkmMS7cjUTNDo/1sd0+E6cVb8PX/Cn/9v5N9HTYHfK+4E12DH35T5tgzRUC/fnGrjFXXAQO6Lfn9wK2uaTK3zQ2JrXFd6LZBFaSE1Hbl3AA21mTxYPjB4g6OnXyRKydnB3uVbW4niCNqXpkXJ04zUx3n8ur8fQnBA/f0ds6MzOwZS5KpjJcmzvD5C1+n4beouWU6QJKm+FGAhnx20pRGwXbphj0ipai6JTRNZ6oywona+L5jGeBHAVEaM10Zw+j/DVVKMeSVWe02qLlFEehT+WybqYzrG3c4WZsiUxmZyh7IBX6vuT4Kof5ZJFNZHmOTk/Mu5ulWU3N2sJ/IC/JCvD2X+mnmcS0W7Jcxvt4OWdzwqXg2c2PlHfO+20V9YrTEcMnBtQyCKCFOFaauKDoWlYJFEKfcWu9yarz00OeQKXUo1/qDPm88x6TVz3X3w4RMKXRNo+xZvDBTY6joUCk4FN2dj9H2eZxf7zJWdqkVbQxdY6MbUnIsZkeKO8ax2uyxUO/y+bfmMXTt2Epkc3Jycp459hNLQQTTJ11kfFTsVexYrklm98MsQOwWjw9ygB92n4floJzu7Xnli/Miltuu5JWvLkrszNSsPF8G7vBOSwTu1UX5nVcEv/3gRZjbn5vObH/u+wWhcSQxLbbbP05XBPxSRcZkOyKkT8xIyeggNmdoVH5vmnJeg/iaJzXvP1/kysnZwe6yzd2fS5badV6aPM1URUqSj0II3ktYv7a+wJcuf4efLl2jGXTIlGK91yJKY7JMYeg6JcejF4eEaYytbBzTIkgjmkGH2dokZ0ZOoLE1/t1jGYixy506aZbhRz3KrjjNNU3j9PA0nchnzW9iaAa6prPQXOVny9f6eeyK/+Eb/4HTw9N8/Pyb913oeb9znbP1vLhev0OYRDim/cDzn5OT83SSi+jPEAcVSa62gx251E8zj3OxYJAx/vV3lrm11mGtHRAlKQXH5MUTQ1QL9l332e6MX2n2aPdi3n92lEuLLTY6IRXPwrEMQMPQNBrdkNvrGq/OjTzwOcyvtjfHKG7x/UXnB33eXO/nnfthTNExMQ2DNFM0/YjvX11ldrTEB89P7HkOu+cxjBMs00BPNZ6frm5msgM0OgFv39rAsQzGqy6ebR1riWxOTk7OM8V+YmkUiID+pIuMj4L9ih3XlkRUjiM488LRLEA8SYsag7zyweJBY10EcbcAZ/uu7+3ucLcoeeYba3DhLTAsOPcyTM48WNzL9ufmzcsS3+J6W2WjCnGWry8jZaw3pYx1dFLGcOYF+MTfEjf6rWtw+acipPsdecy2x9c8qTxJz4ecnCeA7WWbgxJQz3LoxSFL7TpDhTIfO/eBTefvcQjB19YX+MxbX6Dht/Esh7JdoOC4tHodWqEiVBFlu4BpmBiaTifsEScxaZZi6iKvnB6e3iwC3Wss28XYIIlYaK5wc2OR9514geGCRFcNFSq8MnmW79++iKUbzG8ssdBcwTJM3jN5nsnKKL044MLyDRbb6ztKS49jrt/tbH9eyFy5DzX/OTk5Tye5iP6MsZfIa5sG5yerfPgJce0e1iG9H497sWBurMz0SJELtzdodiNSlfHNi8s41t5vMLY74wcRKAXH49xklYsLDXpxgqZpmIZOpqAdxMyNlh7oHDKl+OH1NT7/1jy9KGF2pIRr353Pvvt5cL/PmyTL+I/fvQkoSq5FmimUAlPX8GyDdi9mpRnw5nPj+57D7qz2jW7IVy8s0ehFWKaBaxv0ooSfzG8A8OrcMCVXFil2R+WcGC0d++LQwz5vc3Jych4be4mluzOy363sLnYc/F33ClL0GfRElL1zU8o/H3YBYveiRm1EHNe+L7Elw+OPdlFjd16534GvfEHOU6md7nBNk5+TWIpBDUME7NEJmS93Ts7pra+Dack83SvmZfDc/Mv/LHMM8pikiTjQ00TmR9cgCODaRWg1JFP+vR8Wx/nopHy99qHDx8vci93RPg+6r3vtJ1/kysm5izMjM3z6jU9uisy7s8q3C5VHLQRnKuNLl79Dw29zdmSGduRjGiY6OmOlYcI0oReHRKl8ftPQcEybgu3iWQ4z1VGu1xep95oMFyp7juVGffEuMdYzHd66fZGv3/gxb0w/z2RlhF4cUvfbvHfmeX75/Jt85dpb6JrOyxOn0ft/E0pOgbO2x9X1hc0C1fsRve8116eGp1horhwqumS/mJNnIf5k9/NisFjzsPOfk5PzYDzOvyu5iP4MclCR5OPmfhzSB/E4Fwt2n4Nl6jT8mGYv5sWZ2oHO+JVmbzOKZncRZy9KUApqBYdPvjF33+cwv9rmaxeX+OqFJZp+SNm1iFPF3EiRatG5p+h8P8+bC7c3WNzoMlpx0TWdlh8SxhnxINLFtQBFN4gPHPP2rPbTwGjZ3fGYppnCNHTOTVeoFXfmhT7KwtGjet7m5OTkPDZ2i6UPKzI+K9yr2HF6DlaXRKRtN45mAWIgHP/V5+HSjyV/HCURKhMnjuCk7pPtsS9ZJo7u+SuSgd5piQNd00RU77Zlu2IFNOT2XlfKPgcxK9//qjjLdeNwMS/Tc/ArnxLR2HYkLsbXxQkfhXKMwJdxhv0s4Y//1t37Oyi+5n7YK9rnfqNq7mc/+SJXTs5d7FUCup9Icj+i+71YbK1xvX5ns6i07BQ2s8mHvTI1r0wn9LEMgzhL+3nsDrO1cU4Pz2AZJrpucnJoirrf3FOU/tff/o93ibEz1TE8y+H7ty9waX2eIIlwLHvzfo5p0b7gc3p4alNAH7C7QHV3NM2DzvWN+iL/+tv/8VDRJfvFnJwfO8nl1ZtPffzJ7ufFdh52/nNycu6Pxx2rlIvozygPWkB5nMyvtvnsd27Q7EWMVVxc694O6f3IlMK2DN48P8Yrc0MUbJOiax37YsF+59DoRKy1Ai7Q4ORoaV9n/O4ommrB5pXZIbp9h/pKs8crs8O8fvr+sucG41pu+sRJykjJJc0ylhs+zW7IK3PD1IrOPUXnwz5vmt2IOM1wTAND13EqHnGaEsYZKDAMjaYf0exG93Ueu4X8tXbAn/1gnvHK3mM6rhLZ7Rzl8zYnJyfnsXJUIuOzxGGKHS0LPvRxKBR3LkCARL486KJEHIpQPXNKnNy6Kc7uL3728JEoR80OZ3Tfhe64Eo8S+OIwVwosU+JWgh7EsTjYmxtw54bkl8+cgpHxw8e8jE7Cqefg8tsilHt94d5xRVBu1qFYlqsDslR+fxzsF+1zv1E197ufh1nkOirXfE7OE8ZeWeX7cT+i+0H4UbCjqFRD43TfkV7vtSlYDo5hYWgGrmUy5JV5qV9yCnB1fYHXps/z9z7wmyy363eNZaG5wrX1BUqOR73XwjJMyk4BDY3hQoUPnXyFxdY6v/PqL1K0PYq2h2NadEL/vgpU79eluXuu7ye6ZL9tv3frAp+78DUmSiOcHZl5quNPdj8vdrNfaWxOTs7R8iTEKj1WEf0rX/kK/+yf/TO+//3vs7i4yJ/8yZ/wqU99avN2pRT/5J/8E/6n/+l/YmNjgw9+8IP8y3/5L3n55Zcf36BzHohMKb7+zjLNXsTJ0dLmCu6DxHIc5Ao+TgH9oHN48USNC7cboKDpR6y1sz2d8ftF0WhAqxczUS3wkRcm7+s8to9rvOqxsN6l0Q2JEmlrb/kR37u6yvvPjlH2rCMRnatFG8vQCZOUgq0TJSlNPyaMUzKlyDIFQBil973v7UK+55g4lvnIS2QHHOXzNifnWSJ//c55ZjhssWOhuHMB4mHcyoMImW5bhOPtrx9eQWI9fvANEVUfhxg6cEZ/7b9slYhajgj+1RG4fR2SFFAiaN++LtnlzQ0R2+1+P4xu7Ix5OeicBuL9/BWZF8veinUJfHG6n3pOvq8siGB81BwU7XOYc3jY/TzIItdRueZz3hU866/d9yO678deRaVDXpn3TJ3n+voCK50NDKNvIjJtXho/zWRlhG7U2xHZYurmnmO5tDLPOys3AI1MZRi6wZBX5vTIDENemYLlEiQRX7/+I9p94dwxbYYLVaI0OVSB6sO6NO8nugTYc9ui7ZFkCZ3AZ6RQpeh4aGhPbfzJURTY5uTkPBxPSqzSY/2L1e12ee211/j93//9PW//p//0n/LP//k/5/d///f57ne/y+TkJL/6q79Ku91+xCPNeVhWmj1urXUYq7h7XgK13SF9EANX8JWlJpWCxYmREpWCxZWlJp/9zg3mV4/vuXGvczg5VqJWsvmN983x6Z8/z3/7S8/xux85u2/++LnJKq1ezO31Lq1ezPnJ6gO5mrePK4xSOkGMHyUYhoZjmTiWQcuPeHu+zmo/TuZhRecXTwwxNVSk0Y3ohTFrrYBe/5i2oZFkCsPQ+cn8+kM9JgPn/morQCm147ZBVM7caOlYSmTh6J63OTnPGvnrd84zw6DYcWNVHNbbGRQ7Ts7uLHYcuIznr0isyeSMfJ+/Ir+/M3/wMe8VITM0KrfXV47iDB+M6Tn4G38f3viIZJ4//6qUiI5NQqkiES6thuSU+x3QdED1Y1+QOWg37++cpufgF35DYlyCnojpcSTi/enn+/Eu/UUN9xhe94/qcXlUj+/DPg9z3nXkr933ZlBUutSu7/jsMeSVeX3mOWZqY/zacx/i//Fr/5BPvvBhlAY3N5ZoBB1emjzN3z3ABXltfYH/cumbdKIepm5Q88q4ps1qt8GPFy+z0Wuz1K5zu7HM/MYyNbfEqaFpam6JheYK690GV9cX9vxMtNSuc2Zkhl4c8pm3vsCF5Rs77n9h+QafeesLXFtfuOcc3E90yX7btkOfRq/DcKFKo9ehHfr77uNpYL/nBeyc//spsM3Jybk/7udv03HyWJ3on/zkJ/nkJz+5521KKf7Fv/gX/ON//I/5G3/jbwDwb//tv2ViYoI/+IM/4B/9o3/0KIea85AMCjVda+8PPYeJ5XgYV/BRlEIe7hwySo7F6YnKgfs6ytz6wbgc02W1HaDrGkrJCpkGmIZOmil6UcLlxRYfe3XmoUVnU9f562+e4v/7xYssbPhoGhRsgyRVhEmKYxm8fmqEdpjct1N792P1c8+NP7YS2aN43ubkPIvkr985zwz3W+x4FG7lw0TINNa33NaPK67DNOGjnxBBtlmXY9ouDI/C+pII6Y4nMSuBL7EujitzGAUiFJcq/az0Xee0Hy++Du/7KFz5mZynZW1FuwwWNebO7VzUuB8Omsv7fVz246j2c6/zOArXfM67ivy1+97cq6h0ujLG/+n1X+XMyAwfOvXKoSNTkizhT37yZerdBuOlYdphlwIutmkxbJjUe22urd2m7kvEy8sTp9E0jXboE6cJE8UhumGPdtjlytptpiojd5WW/uLZ9/GXV7730C7N+40u2WvbOE1Is5Si69IKusRpcuA+nnSOusA2Jyfn/nlSYpWe2Ez069evs7S0xK/92q9t/s5xHH7xF3+Rb3zjG++aF/JnBc8xNws1HzSW435cwdtzvY+qFPIozmE7R5VbPxjXRjek3YsZLjkSrZJkWIYuq+VKPnsmmeL56eqRiM4ffG6CjW7Iv/nyJcI4oRum6JrWL0wd4sRIkW4Q75vBvtfCxu21zp6P1QfPj3Ntpf3IS2SP+jHPyXk3kL9+5zx13E+x4/24jPeL5jhshIzrPf64jv3m5vnX4OoF2cbviKjrOOIWd1wRbreXjh7WQa7r8MZHRSzvtGQ+s0ziYpYX5P6nn3uwc7nXXN7P43IQR7WfgziK52FOzjby1+4tDltUqms6U5XRTSF9sbW2p5B+bX2Bz/7ky3zx0rcxdAMNDT8OiNOEIa+CaRjYhsmNjTtYhsX7Zl6gGfz/27vz8KjK82/g39kzk5UsZINsJOzIKopoBbEiWsXXVkEEUX/SahHFvRUtLlVb91or1BZF60ZdEIsrtSwVBBFBUogJS0hYEkL2mUxmf94/xhkyySxnkklmyfdzXbkgkzNnnvOcSZ6Z+9xz3wZUNp5AU7sedocdCrkCOlUctCoNBqUMRIOXpqUapSokzS+DLV3ibVuVQgmFXAGT1QKFXAGVQul3H9EglA1siSh4kVJWKWIjP7W1tQCAzMxMj9szMzNRVVXl835msxlms9n9fWtra+8MkILSuaFmx4XdVZajJCvZb4Z0d7KCQ9kUMhTH0Btc49p7pB42ux3JOg2UCgVajWaYrHZYbA7EqRTIGqCFSqHAgHgfmVHdMCwnBSMHJSNOrYLFbkecSoGMxDh313hfmdreLmwkalVoNJjhEMLrubp8cgGmj87pceZ+MCL1nBNFMq7fFJWkNnYMRZaxq4RM9UFn1nDHtaxjtrXZBPzno543uewpb3NjbAPajUByijPIrVACx6uA1kbnMSiUzm1ttuAzyDsH7muOAq1NAGSAQwBffwlUVgR3IUFKo8+sQdLOS6BjkHp+u5tND/RNtjv1K1y7PUlpVCql9rirCd6xppNQyOVI1SXD7rDDJuww2yxoNbdBIZNDLpMjTqlBanwSNCo1SmsPot1qQYJaC6VCCZvdhlaTAVaHDdeMvxjDMwu6jOvAqeqQZGm6SpeUnTyCIWptl/c/tfpGjMwqdJcu8bZtokaHFG0CqhprkJ+ajcQOAS9v+4gWoWpgS0TBC/ZvU2+J2CC6S+erqEKILrd19MQTT+Dhhx/u7WFRkHw11AymLEewWcGhbgoZimPoDa5xVZ3S42hDG9QWG+LUSiTr1JCbrEjWKVCSnYzEOCX0JltIs6a1GiXi1Cok6VSI93I10FumtrcLG+0WK3ZX1sNstWNSUbr7/HY8V9vLT+LqqUP6dH4j9ZwTRQOu3xR1pDR2DEWWsZQSMmPPBvZsj5xyHZ3npr7WmXmuUAEJP85D9mDA1AYYWgClynkfm9U51s5lcQJxBe7L9gBbPnEef+YgIC4u+AsJUkufzLo6uNI+/uYqFPvxpy+y3alf4tp9mr9Gpa7geLNR/2Npjzi0W00oO3kENfoGXDthFgpSs91N8IpSc9BgbIHdYYdaqUJWQioajK1I1sajJD0PNrsNLaY2AMCBU0fRbrVggDbRPfdqpQrxQot6YzO+r6nA9JJJXQK3ocrSDLZ0ia9tlXIlEuJ0UMqVaDO3x0z5k1A0sCWi4EVKWaWI/auVleV8oe66Ku5SV1fX5Qp5R7/97W/R0tLi/jp69GivjpOk62lDzWCbTPZGU8hQNwUNlbyMRMw9txiD0hLQ2m6Fvt0Cq10gM1mHsQVpyErRot5gDnkTzmDPSecLG/EaFRRyGQCZs4a7DDjWaPTYV7gbeEbqOSeKVFy/KaZ1pxGpN65s67xiZwPNuuPOf/OKgRmzncHiSG4+6m0eEpOBwuFAUqrzWIQA7LbTx9SdrPkjFc5/C4YCunhArnAGjbPznEHx3ducQXJ/gil9Eui8SD2GUO3Hl1A9D4l+xLVbOodwuIPjQ9JykaDRQSGXO2uPp+Wi2ajHxoM7cbylzl1eJTEuHgO0iTBY2p3vc2QyJGp0MFrMUCmUMFhMGJ09BINTMnHS0IAEdaf3r0KgzWpCZmIa6g3NXhvnhbL5pat0yYjMAjSbDH6bp/ra9sy8kVj6k2sxafCIgPsgIpIimL9NvSViM9ELCwuRlZWFDRs2YPz48QAAi8WCzZs3449//KPP+2k0Gmg0oStX0Z+FohlnZz1pqBlsVnBvNYUMZVPQUCrISMTNF43AO18dQrPRjIykOKQmaGC2OlBVb+gyP6E4v8GeE18XNqx2B+xCIClOhRajBW1mGxLiTn/aINwNPCP1nBNFIq7fFNNCmWXsr4TMscrwleuQ0sjU1zwolUB8ApAyGph0HjC4qPuNUENV9zvY0idSS/sEEqr9eNNx/k9UOZuvyuXOc9feBiSm9DzbnfoVrt3S1bTWS6o9Xt1U6y6vIpPJUJiaA4PFiKZ2PRLUWijkMpitZlQ2HsfglCxcUDIZVY01+PLgTujN7UiEDCqFAla7HQZLO7QqNUrS89BqMngtydKdLE2HcPgsTRJM6RJ/255XNI7lT4h6yN/van8T7rJKYQ2iGwwGHDx40P19ZWUl9uzZg9TUVOTl5WHp0qV4/PHHUVJSgpKSEjz++OPQ6XSYN29eGEfdP4SqGac3PWmo6coKdo3NX5PJ3mwKGaqmoKFWMDAJ884rds/P8Uaj1/npyfntHHwflJ4g+Zz4urChUsihkMsByGB32GG1eWaVRUIDz0g950ThwPWb+rVgGpEG4quETLjKdQTTyNTXPOSXhKbxaajqfgczl50vIOTk9ywQLaVEUHfl5AFnnOWs9V59yFl/XqkEBuYAUy/qm3r5FFW4doeG0WKSVHtcwLPp5gBdEsZkFbsbhpptFtiFA8MGFuCK0dNRlJYLjVKFkvTBaDbq0WY1oc3ibCqaHp+MzIQ0tFtNsDnsiFOpvT52MM0vpdR0D6Z0ia9tWf6EqGek/K72N+H8uxLWIPq3336L6dOnu7+/8847AQALFy7E6tWrce+996K9vR2//vWv0dTUhLPOOgtffPEFEhNZPqE3hbIZZ2+QmhUc6U0he5oJ7uv+geanJ+fXX/B9ztQhAY/H14WNeI0SSTo1TrW0Q62UQ6U8/YY1Es4VEXni+k39Xm9mGQO925zSV6a5lOab3gLpvTUPobqQEEwj10//Ke0CgpRs/d52ohrYuwOI0wHDzvDMRN+7A8jIZiCdPHDt7p7OGaBalUZS7fGCAdldmuAN0CUhRZsIvakNhxtPYHhmPpacNxdKuTMsk52UjjHZxdh/shIjEgbA5rDDaDGhztCI8lNH0NJuQKouCZ/9sA0zSs7yGkCT2hQ1UE33/hqc6wvMKiap+LsaeWSic8GsGNPa2ork5GS0tLQgKSkp3MOJeA4hsGbrIRysbfFoxgk4g5lV9QaUZCX3eYPH7vIIGHspNRKKCwLdCYb3NNM/2Pu7xthmtuLf3x9H1Sk9MlO0UCsViNc4LzAEOr9dg+9KmKw2nGqVPpf+nl/NbWZ8e+gUNEoFxhelQatWhvxc+ZoXlmihSNTf16/+fvxEnkFtL2VjulNb+9gRYNsGoPaYM+CakOisLz72bOD77c5Ac7aXQHNNtTPQPOvqngWLgwk+OxzOoLa3MTkcQNUBIDPXOQ/pWf7HFWguz5jsDDy7LiBofryA0HQKSEjyvIAQTLZ+b/E3N6E8Xz0ZX7gvMoRJf1+7Yu34vWWAFgzIRlO7Hif1jRiSltvl/fKhhuMYmVWIGyZfjiONNe4AWGbCANiFHXpzO5rbDchOSsO1Ey9xB8BcgdWKump8XvE1LFYrdCoNDjYchcHSDkCGBHUchqQNRpOpFTqVFj8/4wKclT86qACsQzjwyo51zuB+gPEHG9hlcDgwZhWTVL35u0pdSV2/IrYmOoVHMM04o6G0RTDlX7qjO8Hwnmb6B3v/jmM82WLEkZN6yOUynGhsQ5zamQGel56AZJ3a5/nt3BDU9dyI16igS1eiqt6AbeUnMSg9wW8Q2l8N9WajBUOzU5CaqIG+3YoGvTmk58rbPPZWySIiIqIeC2XZGAD4fgfwrzeB1iZAqQJUKmfWcmszcOIIYDI5s5d7Un/cn2CDz77qrjeecgaP7TbAIZzHFCiI7W8uXRcQDK2eAWmtzpm5XvPjuLMGOS8+BJut3xtCVS++N0TCRQaiEPCVAfpDXRXkcmcpykC1x13lVd77/t/49uh+tJraICCQEpeAgtRsj8fqGFi12m0wWc041HAMRqsJSZp4pMYnIVWXjDpDIxqNrWg1G1DdXIOflpyFGUO9Z6V7I7Wme01rfVDlEhgcDoxZxRSM3vpdpZ5hEJ089FYzznDyVt4kPSkO9a0mVJ5s7XYGcneC4T0NRgd7/45j1KjkaGmzwOZwQCmTw2S1I06tRKPBBKPZhuG5KUiIU3o9v6G8uBLowkZfNPCM9JJFREREAEJXLuX4EWewubkBSEkHVErAZgeMesBqce7bZARy873fv6eNTLtTKgboGvyuOQqcqnFeBCgaDqRmSA9i+5pLqQHp+pPOcUgJtoci69pfNneo6sWHWnfPM5EP4cpsdggH/nPgGzQb9R4ZoAkaHYaotc7geVIqUrSJONJY47f2OACYbRakJ6SgOH0wEjQ6KOVynNQ34s3vPsVPiiZgy+HvugRWKxtPwGK3YvjAAgxKGQib3Y7S2oMwWS1IUGsRp1SjzdKO3ccrUGtolByAlVrT3VvzUl8YHA5MynNq48GdKEjNZlYxAeid31XqOQbRyUNvNuMMp45NIatP6fHutsM9ykDubjC8p8HoYO4/MFnrHmNeWjz2HWuG3SGgUSqgVMhgtQsYzTZkJGnQ0m7F0XoDCjISvJ7fUF9cCVS3vTc/5RCqrHoiIqI+0dPmlA4HsHWDMwM9Jd2ZGQwAKjmgTAYMLQCEs7xJS5MzMN1ZTxqZOhw9Cz67gt/1J4F/f+i8f37J6W2DCWJ7m0upAem6Y32X/R0omztcjWf96el5JuoknJnNUjJAm9sNmDt+JuQyuc8gvztw2m7A6MwhHvtKUOtwsP4Y3v7uM+jUcShOG+QRWM1OSseB+mq0W0xIUGux53gFTFYLUrWJgEwGh3BAZpUhOykNzUa95ACsTh0nqaa7Tu09cNcZg8PSMKuYghXq31UKjf77V4y8cjXjPNVqQudy+a4Gj3npCVHb4NGVgXywtgVJOhUGpSUgSafCwdoWfPjNEVSf0kvaTzDB7I5OB6O9X4SIUytgsdl9BqODuX/HMRotdrQaLUjSqhCnVsJqF1Ap5DBb7bDaBXRqJVrazDjW2Ob1/Ha8uOJNdy6uuC5sFGYmIStF12cB6+6eOyIioqjUWOcsQ6JUOTPQO5LJnI0prVZAoXSWSuncLsnVfDNrcPcamQZTesQXuRyQy4B2g3McnYOwUvfjTceAtDeugLSQOQPaGj/BdldWf0+4srmrDwLxSUBWrvPf6oPO209Un26W2tQL56u7QnGeiX7kymwuO3nEWfpkQA5S4hJQdvII3vzuUxxuON6rjy8lA9Ris8JktSA3eSBKMvKQmzywS5A4UOA0UaNFdVMNEjW6Lj9XK1XQqbSob2tGrb4BTe16JKi17t8vm90OhVwBtULlEYANJDspHYWpOajVN3p9v1+rb0RRWi6yk9ID7kvKMQYztlgm9TnFrGJyCfXvKoUGg+jkwVWzOlmrRlW9AW0mK+wOB9pMVlTVG5CsVeOcYZlRmaHbOQM5XqOCQi5DvEaF/PQEtLRbsK38JBwSeu12Nxje02B0MPfvOEar3QG7wwGFQo5knQpKuQwWux02h/N2IQRaTVZo1Uqv5zeWLq60ma1obbfAZLbDYLJ2OZ5AFzKIiIiiiqkdEA5nINhm7/pzhdJZXzw5DUhKdmYMt7cBdrvz35pqZ/PN8ed0L4PYlend0+BzqPbjcAD1tcCxSue/KenSAtKZOdKC7T3J/u6cza3VAXKF89/sPOftu7c5tx1/jrPpaajPV3eF6vxQv9c5szlBo4NCLndmNqflurOuHcLRa2PomAHqjZQMUIdwoLLxBBrammF12CHQ9T2mQi6H1WGHwkuGdqJGh/T4ZLRZTGi3mGF32KFSON8jCiFgsLRjgDYRiRpdUAFYuUyOC0omI0WXiEMNx2EwG2F32GEwG3Go4bhHTXcpGByWJhTPKepfQv27SqERXTU5qE/0djPOvuIQwqNciBAiZHW9u1v2xhWMPljbAl26skuH5VN6E0qykn0Go4O5f11Lu3uMKoWz+Y3dLqBROWvCNxrMaLfYYTTboJDLkaJT45LxeV7Pr7+GoKf0pqi5uFJ9So8v957A0XoDjjcYoFH92Fg1LR7J8c43fdFasoiIiMirOC0QnwgYDc4vZbJnprDN6vwqKAGm/hTYsz00jUw7Pn4oSo+EYj++yqQMKuzawNRicgbQXQHp9CznttUHneVJOs6hK9ieV9yz7O9gsrlD0XjWX931YEViiRmKSpFQ9sKVAVp28giGqLVd3nPV6hsxMqvQZwaoqxTNvtrDqGw8gZrWBgxMGIDCtFwM0J5+r2V3OKCSK2D3ckFABhmykzJQZ2hCY3srHELAbLNCLpPBYGmHVuUsbyOTydBuCS4A62p46iqXE6imO+C7Pj1LTkjT0+cU9U/d+V2l3sUoEXkVqGZ1pKs+pXdfBHDVPU+IU6G5zewzQC2lrrcrMN9msmJAvBo1ze0oyJAeDO9pMDqY+3cMuOelxSNJp0ajwYRkhRoalQJatRIZyVoUZDgzzEfnpWFcke9FOxQXVzpf2Oj4nPL3s1BwlfJpNpqRmqCBvt0KtVLmbKxqsmJ4bgqSdOqAFzKIiIiiSupAZxZza7MzE9jQ4izholA6g+euZqMjxzuDwWf+BIDMGfTsaWDV9fihCD73dD+Bml6ecZYzO91fQHr8OYGD7cHMVecgtrEtuIahHZulGtuczWHjdM5gtsPhfyyB6q4HK1Tnmfq9SGim58oArdE3OJuIJqZCq9Kg3WpGrb7RbwZoxyab2YlpaDW14aShAXWGJugtRpyRXYIB2kQIIaA3tyNvQDb0ZiMyE05fNBAQaDW14VRbI8YPGobcpAx8eWAnThmakKyNR0Z8CgpTczBAl+TMeG86gfyUbDiEAw7hgFwmD9iUtSgtFwWpsyU1bvVXn74gNZvBYQl68pyi/i2Y31XqfQyik08dm3FK0dtBUKlcwdKWdgsykuIQp9LCZLXhaL0BtU1GDIhXI2tAfJf7BcpA7hyYt9ocaGwzo91sQ35GgkcwOylOhaHZyaiq03eZi54Go6Xev2PAvbqhDemJGrSZrGg0mCHgrIOeO0AHvcmGzGQdpkrIJO/JxRVvFzZcDV0B+PxZKD750LGUT0FGIlIT4vDD8WYYLTbo1Eq0ma04dLIVAxLikKKLjqx6IiIiSeTy08FfADC3O4OwVr0ziB6f6AzE7tjYNZja0waZnR+/O8HnjoHmgqFAw8ng9yOl6eWxSmDmL4Dmet+Z2aHI/nbxFsROTHGek2CyueVy5/1Ld0oPiAe6oDDjiuAD6T09z6EUygx76nMdM5vjNVrozUZY7TaoFEokanR9ltnc3Wztzk02h6TlwmhtR7vVDIPJiEMNRzEsIx8n9U1IjU/C7KJp2HL4O3dg1WSz4sCpapw0NEApV0Cj1GBwcibmjr8Y2458D6PFhIIBWdCp43C85RT2nzwMm8MGh0Ng5bb3UZiag5KMfBw4VRWwKatcJg+Yzd/xooAz8BuHdqsJZSePoEbfgGsnzGJwWKLeyCoOdLGEYoOU31XqGzLRuSBwjGltbUVycjJaWlqQlJQU7uHELH8B0r4s/+IQAmu2HsLB2hbkpyd4XAl3OBzYWn4SEMDU4ZmQd3gxLYRAVb0BJVnJuHrqkC4B1K6BeSVMVhuqThnQ1m7FgAQNVEo51EoFkrQqCAD6dqvfuejpRQep9+94bprbzGhqs0AGgZR4DVLiNchLT+j1Mj2+5u9UqwlyyACZ83g6/yxZq8YVkwt6PLbaZiNe31SBJJ3KXX6nxWhBdb0BrUYLzFY7HELg3BFZmDl2cNSULKLY1t/Xr/5+/EQh5wra1lQDbXpAJgcSk51BdSGcwVTNj8HUplPOetvdCaYGevzao86MeJWEzGdvgWbdj2u0US99P/W1wLp/OBt0egtOt7c552T2AmkXDnoapO0cxHbNe2Ods7mrLgEoGt41m7um2hmwn3X16cfztS9f59DhAD79pzNgnu0lY9zbYwSjO+c5lEKdYR+k/r52heL4HcKBV3asw7dHy2Cz29BsMsDucDbRTIlLgFKhxJl5I3HD5Mv7JFgYTJDyeEsdXtr6LlLiEjxKmzQZW1HZeAKnDE0w2SwYkVmI0dlD3IFTV6Z3ac1BHKg/CrvDjqzENBSnD0acUo1afSNSdIn4SdEEd3C80diKY80noVIoMXJgIbKS0tFuNeFQw3GcNDQgMyENQ9Jy3UFv1z6unTBLcrDWdS7KTh5xXxRwEULgUMNxjMwqxA2TL8eRxhp3cNhis0KtVKEoLZclJ7wIVeDb3ycEOOdEwZG6fjETnXrMV+b3wdoWnGppD0kQVKq6lnafdc/lcjmKs5Lww/FmVNS0YHBagqRSKp0bkrr2G69RYURuCo6c0iM7JR4XnJGDljYL/ltWi1YJcxFspn9nUu/fOXtco1ZABmfmfV98YsDf/GnTFF4vbMRrVNClK1FVb8C28pMYlJ7QozGebrJ6OnMrWafG6MED0Ga2wWy1ob7VhAtG5zKATkREsalj6Q9TuzNL+JtNwNFDvrOzd29z3icUWbydHz9Q8NlXtnTTKWf2/JQZQNIAaUFsV9NLqWVSApHLu5+l7y8rPiffOQajAThRBaRm+M/mlpJh3/kcBlN3vTvHGOx5DqXeyLCnPieXyVGSkY+Py76CwWTEAF0S4uPi0W41o6qpBglxOhSn5/VZtm0wGaC+StEM0CUhRZuIFpMeVU0n8YuxMzCl4Az3MRSl5SJvwGV4Ycs7MFktKErNQWJcvPt90xC1FocajuNgfTWun3wZalsb8MauTyCDDKMyC0+/h1JrYXPYYDAZkaZLRrxGCxlkzqasP+5j48GdKEjNljR/wdSnZ8kJ6UKRVSzlEwIMpBOFHoPo1CP+AqShDIJK5S1Y2tHAZC2a2yzITY1Ha7tVUikVf4F5mUyGgUlaNLWZoVUr8c2BU2iNkLnoqKcB+57wN39Gix0Oh3D/PyHu9IusYJu9+uOrEaxMJkNCnAoyAEk6DeLjujaJJSIiihkdg7/1tcDJY70XTA30+P5ICQ5XVkjPlo6kppeBgtg5ecCpWuc86Zv9l4zpTkA81BcUvOnJRYbu6s4FBYpIDuHAgVNVyExIQ5ouGc3tBrSa2qCQK1CQmg2FXImD9dU4r2hcxAVo/TXZlMlkUMqVSItPRkFqTpexn9Q3osHYguL0QV7v6wpYn9Q3QiaTQW82ojA12+PT1XqzEc3tBqT+OG96sxFJmvgu+5DalDXY+vQsOdE3vJUNAtDtiyVEJB2D6NQjgQLMoQqCSuUrWOpistiREq/BFWcVQi6TSSqlEigw72pIeryhLaLmIlL4mz+r3dWJXsBq69qVXkqzVyk6NlnVpUtvBEtERBSz+iKY2l2hzpaOpKaXUuZdpQLOvgDQxfvP5u7OOYykCwqh1NsZ9tRnXNnPQ9JyEa/uWhO9zdIeVCC4L2UnpXe7yWawAWtv21rtNtgddsTHxaHV1Aar3eZ3H4H4uygAoM/q05OnYD4hEGm/I0TRjpelqEdOB0i9X4+JUytgsdl7HASVyhUsPdVqQudy/65gaV56ArJSdMhK0aEwMwlZKTq/meEdA/PeuBqSAoiouXAIgdpmIypPtqK22QhHmNof+Js/lcL1J0gGlbLrn6NAzV6lcjVZTdaqUVVvQJvJCrvDgTaTFVX1Bp+lfIiIiGJWx2CqN+EMprqCwxo/wWGrJbjyK+PPcdYIr6l21kC3253/1lT3bdNLqfOui3cGewcVOgPojXXO5qf1tc6s62D21fEcui4oNJ1yXkDoyHVBIWtw31xQCKVQP2cobDoGk2UyGZLi4pEWn4ykH8ubaFUaWGxWyYHgvuKqcz0kbRBUSiUONhyDwWyE3WGHwWzEoYbjfptsdgxYe9MxYO1rW5VCCYVcAZPVAoVcAZVC6XMfUrguCtTqG72+t67VN6IoLdfrRQHqPVIuuETi7whRLGAmOvWIlMzvUARBpXIFS0+1tKOq3oCMxDhJdc/9kZrFPCgtPmLmIlIavQL+50+nVkAulwHC+f+OQp0hnpeRiCsmF7jnRUopHyIiopgVSdnZnfVGtnROnrMmtqvppL8yKb0p2Hn31ygza1Dw59B1QaGxznkBYUC6/7rr0SJWM+z7oWjMfu7c4NFit8Fss+BYSx3UChXUShVGZhX6bbIZbBa7t20TNTqkaBNQ1ViD/NRsJHaYv0CZ8N7IZXJcUDIZNfoGHGo4/mPtbQ3arWbU6hv9XhSg3hONvyNEsYJBdOqRSCyTEepgqdTAfGaKLiLmIpIavQKB5y8/PRGQAdUNbSG56OFP5yarfdFYlYiIKCJFcjC1twL84Wx66RLMvEtplNmdcxgpFxRCKZIvClFQelISJRx8NXisaW2AWqXCzKFTMHRgXsAmm8EGrH1tq5QrkRCng1KuRJu5vcdB76K0XFw7YZb7IkGdoUnSRQHqPdH2O0IUSxhEpx7pjczvUAh1sFRqYD7ccxFpjV5dAs0fgD7LEA9nk1UiIqKIEqnB1N4M8Iej6WVnUuZdaqPMWVd37xxGwgWFUIrki0IUlGjKfvbX4LE43dng8XDjMZxfPEHSeIMJWPva9sy8kShOz8OBU1UhC3oXpeWiIHU2alrrYbSYoFPHBbwoQL0nmn5HiGKNTHQubhVjWltbkZycjJaWFiQlJYV7ODHLW/mQvPSEmCuT4RAiYGA+nHNR22zE65sqkKRTeS0p02ayorXdiuumDXUHkqUcU6j4e6y+HAdRNOjv61d/P36iPuVwRGYwtWMpE6vFGRx2lTLp7QB/X8yJv8eorwXW/QOIT/JenqS9DWjTA7MXOC8KROo57GvhfM6Aa1coj79jiRSLzQq1UoWitNyIyn4+3lKHl7a+i5S4BK9lNQxmI5pNBvx66lVBNXh01VeXErD2tW0w+wilcD1ufxQNvyNE0ULq+sVMdAqJ/lImQ0oWczjn4nSjV+8lY+LUCtTrTe7mpn1dO93f/DFDnIiIKEwiITvbm3BlS/urQx7KQKy/eXc1ykz10yizueF0o8xIPYd9LdYy7PuxaMh+ltLgsc7QFHSDR7lMLjno7mvbYPYRKp1rw2uUahSm5uCCkskM6vaCaPgdIYo1DKJTyDAIelq45iKYRq+RVjudiIiIqIu+Dg5LqUPeF2Vu2Ciz+3hBIWaEIxAcDDZ4PM1Xbfiyk0dQo2/AtRNmMZDeCyL9d4Qo1vASFVEMcTV6PdVqQudKTa7mpnnpCUhPivOonR6vUUEhlyFeo0J+egJa2i3YVn4Sjtiu9kRERER0Wuc65FodIFc4/83Oc96+e5tzu97mapTZdMrZGLMjV6PMrMFslEkURq4Gj7X6Rq/vvWr1jShKy435Bo+da8MnaHRQyOVI0OgwJC0XzUY9Nh7cCYfog7+dRES9iJnoRL0sFLW+pe5DaqPX+lYTjtYbkJEU59HNGwBkMhkyEuNQXW9AXUs7P11AREREoRWp9bsb65wlXAZknG7k6SKTOZtV1h51btfbmc5SG2UCzvrpkTaXRP0AGzw61bTWo7LxBLISU72+t8xKTMXhhuOoaa2Pqaxp1n8nFz4X+g8G0Yl6UShqjge7j7yMRFwxucB9n3q9CWqlAiVZye7mppUnW4OqnU5EREQUEn1Vb7w7gq1D3tty8pzlY1zz1dzgLOGSV3w6gP7pPyNzLon6iaK0XFw7YZa7FnidoQlqpQojswr7TYPH3qoNH8lY/51c+FzoXxhEJ+oloag53t19BGpuGkztdCIiIqKQiJR6475EYh1yX40ya49F9lwS9SP9vcFjf6sNz/rv5MLnQv/TP/6qE/UxhxA9rjne0324mpsWZiYhK0XnUf5Fau30gclsVkVEREQhEEn1xn2J1DrkrkaZgwpPl5GJ9Lkk6mdcDR5LMvKQmzyw3wTQgf5VG57138mFz4X+qf/8ZSfqQ3Ut7ZJrjvfmPnxx1U5P1qpRVW9Am8kKu8OBNpMVVfUGd+30YGu3ExEREXkVTL3xcHHVIU9IctYhb28D7HbnvzXVp+uQh7vmeDTMJRH1G67a8Cm6RBxqOA6D2Qi7ww6D2YhDDcdjqjZ8MPXfKbbxudA/Rf9fMaII1G62/Vhz3Hs5lDi1Ahab3W/N8VDswx9X7fTirGS0tltxrKENre1WlGQlSyo1Q0RERCSZq964xk+9caul7+qN++KqQ55XDLTpgbrjzn/zioEZsyOjREq0zCUR9Ruu2vAjMgvQbDKgqqkWzSYDRmYVYl4MlbSQUv/dYrPGVP138o7Phf6JBY+JekEoao73Rd3yQLXTiYiIiEIiEuuN++KrDnm4M9Bdomkuiajf6A+14ftb/Xfyjc+F/il2/poRRZBQ1Bzvq7rl/mqnExEREYVEpNYb96VzHfJICaAD0TeXRNRvxHpt+P5U/53843Ohf4qtv2hEESIUNcdZt5yIiIhiRrTUG48GnEsiorDoT/XfyT8+F/onmeh8ySTGtLa2Ijk5GS0tLUhKSgr3cKifqT6lx9bykzhab4DF5iy/kpeegHOGZUquOR6KfRBR9Onv61d/P36imHWiGti9zdn40mpxlh3JGuwM+kZCvfFowrmMOP197ervx0/9x+GG4/jPgW9Q2XgCFpsVaqUKRWm5mF58ZszUfydp+FyIDVLXL9ZEJ+pFoag5zrrlREREFDMivd54NOFcEhGFRX+o/07S8LnQvzCITtTLXDXHw70PIiIioojgqjdOPce5JCIKC1f9dyI+F/oPXhohIiIiIiIiIiIiIvKBQXQiIiIiIiIiIiIiIh8YRCciIiIiIiIiIiIi8oFBdCIiIiIiIiIiIiIiHxhEJyIiIiIiIiIiIiLygUF0IiIiIiIiIiIiIiIflOEeQG8TQgAAWltbwzwSIiIi6Vzrlmsd62+4fhMRUbTh2s21m4iIoo/U9Tvmg+h6vR4AMHjw4DCPhIiIKHh6vR7JycnhHkaf4/pNRETRims3124iIoo+gdZvmYjxy+QOhwMnTpxAYmIiZDJZuIcTEq2trRg8eDCOHj2KpKSkcA8nonGupONcSce5ko5zFZyO85WYmAi9Xo+cnBzI5f2v+prD4UB5eTlGjhwZc8+fWP294HFFFx5XdInV4wJi69iEEP1+7Q7le+9Yem5EIs5v7+L89j7Oce/qT/Mrdf2O+Ux0uVyOQYMGhXsYvSIpKSnmn8ihwrmSjnMlHedKOs5VcFzz1R+z2Fzkcjlyc3MBxO7zh8cVXXhc0YXHFX1i5dj6+9rdG++9Y+W5Eak4v72L89v7OMe9q7/Mr5T1u/9dHiciIiIiIiIiIiIikohBdCIiIiIiIiIiIiIiHxhEj0IajQbLly+HRqMJ91AiHudKOs6VdJwr6ThXweF8eYrV+eBxRRceV3ThcUWfWD426hk+N3oX57d3cX57H+e4d3F+u4r5xqJERERERERERERERN3FTHQiIiIiIiIiIiIiIh8YRCciIiIiIiIiIiIi8oFBdCIiIiIiIiIiIiIiHxhEj1JPPPEEZDIZli5dGu6hRJyHHnoIMpnM4ysrKyvcw4pox48fx/z585GWlgadTodx48Zh165d4R5WxCkoKOjy3JLJZFi8eHG4hxZxbDYbHnjgARQWFkKr1aKoqAiPPPIIHA5HuIcWkfR6PZYuXYr8/HxotVqcc8452LlzZ7iHFVYvvfQSCgsLERcXh4kTJ+K///1vuIfUI7G0Nm3ZsgWXXXYZcnJyIJPJ8OGHH3r8XAiBhx56CDk5OdBqtZg2bRr27dsXnsEGIdBxXX/99V3O4dlnnx2ewUr0xBNP4Mwzz0RiYiIGDhyIK664AuXl5R7bROP5knJc0Xi+AGDFihU444wzkJSUhKSkJEyZMgWffvqp++fReL6AwMcVreeLek+svQ4Il1hdByKVtzgN57fnAsUrOMfdJ+V9O+f3NAbRo9DOnTvx8ssv44wzzgj3UCLWqFGjUFNT4/4qLS0N95AiVlNTE6ZOnQqVSoVPP/0U+/fvxzPPPIOUlJRwDy3i7Ny50+N5tWHDBgDAVVddFeaRRZ4//vGPWLlyJV588UWUlZXhySefxFNPPYU///nP4R5aRLrpppuwYcMG/OMf/0BpaSkuuugiXHjhhTh+/Hi4hxYWa9aswdKlS7Fs2TLs3r0b5513HmbNmoXq6upwD61HYmVtamtrw9ixY/Hiiy96/fmTTz6JZ599Fi+++CJ27tyJrKws/PSnP4Ver+/jkQYn0HEBwMUXX+xxDj/55JM+HGHwNm/ejMWLF2P79u3YsGEDbDYbLrroIrS1tbm3icbzJeW4gOg7XwAwaNAg/OEPf8C3336Lb7/9FhdccAFmz57tfrMajecLCHxcQHSeL+odsfo6IBxidR2IRL7iNJzfnpESr+Acd5+U9+2c3w4ERRW9Xi9KSkrEhg0bxPnnny9uv/32cA8p4ixfvlyMHTs23MOIGvfdd58499xzwz2MqHT77beLIUOGCIfDEe6hRJxLL71U3HjjjR63XXnllWL+/PlhGlHkMhqNQqFQiPXr13vcPnbsWLFs2bIwjSq8Jk+eLG6++WaP24YPHy5+85vfhGlEPReraxMAsXbtWvf3DodDZGVliT/84Q/u20wmk0hOThYrV64Mwwi7p/NxCSHEwoULxezZs8MynlCpq6sTAMTmzZuFELFzvjoflxCxcb5cBgwYIP7+97/HzPlycR2XELF1vqjnYvF1QKSI1XUg3HzFaTi/PRcoXsE57plA79s5v56YiR5lFi9ejEsvvRQXXnhhuIcS0Q4cOICcnBwUFhZi7ty5OHz4cLiHFLE++ugjTJo0CVdddRUGDhyI8ePH429/+1u4hxXxLBYL3njjDdx4442QyWThHk7EOffcc/Hll1+ioqICAPD999/jq6++wiWXXBLmkUUem80Gu92OuLg4j9u1Wi2++uqrMI0qfCwWC3bt2oWLLrrI4/aLLroI27ZtC9OoQqM/rE2VlZWora31OH8ajQbnn39+1J8/ANi0aRMGDhyIoUOHYtGiRairqwv3kILS0tICAEhNTQUQO+er83G5RPv5stvteOedd9DW1oYpU6bEzPnqfFwu0X6+KDRi+XVAJIjVdSDcfMVpOL89FyhewTnumUDv2zm/npThHgBJ98477+C7777r93VyAznrrLPw+uuvY+jQoTh58iR+//vf45xzzsG+ffuQlpYW7uFFnMOHD2PFihW48847cf/99+Obb77BbbfdBo1Gg+uuuy7cw4tYH374IZqbm3H99deHeygR6b777kNLSwuGDx8OhUIBu92Oxx57DNdcc024hxZxEhMTMWXKFDz66KMYMWIEMjMz8fbbb2PHjh0oKSkJ9/D6XH19Pex2OzIzMz1uz8zMRG1tbZhG1XP9ZW1ynSNv56+qqiocQwqZWbNm4aqrrkJ+fj4qKyvx4IMP4oILLsCuXbug0WjCPbyAhBC48847ce6552L06NEAYuN8eTsuILrPV2lpKaZMmQKTyYSEhASsXbsWI0eOdL9Zjdbz5eu4gOg+XxRasfo6IBLE6joQbv7iNJzfngsUr+Ac90yg9+2cX08MokeJo0eP4vbbb8cXX3zRJVuRPM2aNcv9/zFjxmDKlCkYMmQIXnvtNdx5551hHFlkcjgcmDRpEh5//HEAwPjx47Fv3z6sWLGCQXQ/Vq1ahVmzZiEnJyfcQ4lIa9aswRtvvIG33noLo0aNwp49e7B06VLk5ORg4cKF4R5exPnHP/6BG2+8Ebm5uVAoFJgwYQLmzZuH7777LtxDC5vOn/AQQkT1pz7629oUa+cPAObMmeP+/+jRozFp0iTk5+fj448/xpVXXhnGkUlz6623Yu/evV4/4RLN58vXcUXz+Ro2bBj27NmD5uZmvP/++1i4cCE2b97s/nm0ni9fxzVy5MioPl/UO6L1eR7JYnUdCCepcRrOb/dJjVdwjrtH6vt2zq8Ty7lEiV27dqGurg4TJ06EUqmEUqnE5s2b8cILL0CpVMJut4d7iBErPj4eY8aMwYEDB8I9lIiUnZ3tzgJyGTFiBBv3+FFVVYV///vfuOmmm8I9lIh1zz334De/+Q3mzp2LMWPGYMGCBbjjjjvwxBNPhHtoEWnIkCHYvHkzDAYDjh49im+++QZWqxWFhYXhHlqfS09Ph0Kh6JJtVldX1yUDIprF6tqUlZUFADF//gDn+pmfnx8V53DJkiX46KOPsHHjRgwaNMh9e7SfL1/H5U00nS+1Wo3i4mJMmjQJTzzxBMaOHYs//elPUX++fB2XN9F0vii0+svrgL4Wq+tAuAWK07jmkPPbfYHiFXwO90yg9+2cX08MokeJGTNmoLS0FHv27HF/TZo0Cddeey327NkDhUIR7iFGLLPZjLKyMmRnZ4d7KBFp6tSpKC8v97itoqIC+fn5YRpR5Hv11VcxcOBAXHrppeEeSsQyGo2Qyz2XGIVCAYfDEaYRRYf4+HhkZ2ejqakJn3/+OWbPnh3uIfU5tVqNiRMnYsOGDR63b9iwAeecc06YRhV6sbo2FRYWIisry+P8WSwWbN68OabOHwA0NDTg6NGjEX0OhRC49dZb8cEHH+A///lPlwtz0Xq+Ah2XN9FwvnwRQsBsNkft+fLFdVzeRPP5op7pL68D+kqsrgORIlCcpqioiPPbQ4HiFXwO90yg9+2c3076vJUphUzHrs902l133SU2bdokDh8+LLZv3y5+9rOficTERHHkyJFwDy0iffPNN0KpVIrHHntMHDhwQLz55ptCp9OJN954I9xDi0h2u13k5eWJ++67L9xDiWgLFy4Uubm5Yv369aKyslJ88MEHIj09Xdx7773hHlpE+uyzz8Snn34qDh8+LL744gsxduxYMXnyZGGxWMI9tLB45513hEqlEqtWrRL79+8XS5cuFfHx8VH9dzyW1ia9Xi92794tdu/eLQCIZ599VuzevVtUVVUJIYT4wx/+IJKTk8UHH3wgSktLxTXXXCOys7NFa2trmEfun7/j0uv14q677hLbtm0TlZWVYuPGjWLKlCkiNzc3oo/rlltuEcnJyWLTpk2ipqbG/WU0Gt3bROP5CnRc0Xq+hBDit7/9rdiyZYuorKwUe/fuFffff7+Qy+Xiiy++EEJE5/kSwv9xRfP5ot4Ri68DwiVW14FI1jlOw/ntGSnxCs5x90l53875PY1B9CjGILp3c+bMEdnZ2UKlUomcnBxx5ZVXin379oV7WBHtX//6lxg9erTQaDRi+PDh4uWXXw73kCLW559/LgCI8vLycA8lorW2torbb79d5OXlibi4OFFUVCSWLVsmzGZzuIcWkdasWSOKioqEWq0WWVlZYvHixaK5uTncwwqrv/zlLyI/P1+o1WoxYcIEsXnz5nAPqUdiaW3auHGjANDla+HChUIIIRwOh1i+fLnIysoSGo1G/OQnPxGlpaXhHbQE/o7LaDSKiy66SGRkZAiVSiXy8vLEwoULRXV1dbiH7Ze34wEgXn31Vfc20Xi+Ah1XtJ4vIYS48cYb3X/7MjIyxIwZM9wBdCGi83wJ4f+4ovl8Ue+JtdcB4RKr60Ak6xyn4fz2XKB4Bee4+6S8b+f8niYTQog+SHgnIiIiIiIiIiIiIoo6rIlOREREREREREREROQDg+hERERERERERERERD4wiE5ERERERERERERE5AOD6EREREREREREREREPjCITkRERERERERERETkA4PoREREREREREREREQ+MIhOREREREREREREROQDg+hERERERERERERERD4wiE4UQywWC4qLi7F169ZwDyVqlZaWYtCgQWhrawv3UIiIKAYtWLAAjz/+eLiHQd1QV1eHjIwMHD9+PNxDISKiCFZeXo6srCzo9fqQ7K+goADPP/98SPYVTV588UVcfvnl4R4GkRuD6ES97Prrr4dMJoNMJoNSqUReXh5uueUWNDU1eWxXUFAAmUyGd955p8s+Ro0aBZlMhtWrV/t9rJdffhn5+fmYOnVql5/98pe/hEKh8Lr/3uA6HplMBq1Wi+HDh+Opp56CEKJPHr+7xowZg8mTJ+O5554L91CIiMiH66+/HldccYXPn+/evRs/+9nPMHDgQMTFxaGgoABz5sxBfX09HnroIff65OvryJEjAIBt27ZBoVDg4osv9njsQPf3Ze/evfj444+xZMkS921PP/00MjMzkZmZ2WXt2bFjByZOnAi73e53PjZt2gSZTIbm5ma/20Wiv/71rxg7dizi4+ORkpKC8ePH449//KP754HOtS8PPfQQxo0bF7qBAhg4cCAWLFiA5cuXh3S/REQUnNraWixZsgRFRUXQaDQYPHgwLrvsMnz55ZfubaS8Hz1y5AhkMhn27Nnj8b1SqexywbSmpgZKpdLjdYIvy5Ytw+LFi5GYmOi+TQiBl19+GWeddRYSEhKQkpKCSZMm4fnnn4fRaPS7v507d+KXv/ylxNkJnY6vmeRyOXJycnDttdfi6NGjQe+nO2vyokWLsHPnTnz11VdB35eoNzCITtQHLr74YtTU1ODIkSP4+9//jn/961/49a9/3WW7wYMH49VXX/W4bfv27aitrUV8fHzAx/nzn/+Mm266qcvtRqMRa9aswT333INVq1Z1/0CC9Mgjj6CmpgZlZWW4++67cf/99+Pll1/us8fvrhtuuAErVqwIGLQgIqLIU1dXhwsvvBDp6en4/PPPUVZWhldeeQXZ2dkwGo24++67UVNT4/4aNGiQe71yfQ0ePBgA8Morr2DJkiX46quvUF1dDQD405/+5LEtALz66qtdbvPmxRdfxFVXXeV+U11aWorf/e53ePvtt/HWW2/h/vvvx//+9z8AgNVqxc0334yVK1dCoVD05pT1OqvV6vX2VatW4c4778Rtt92G77//Hlu3bsW9994Lg8HQxyOU7oYbbsCbb77ZJRmCiIj6xpEjRzBx4kT85z//wZNPPonS0lJ89tlnmD59OhYvXuyxbXffj+bk5OD111/3uO21115Dbm5uwPseO3YMH330EW644QaP2xcsWIClS5di9uzZ2LhxI/bs2YMHH3wQ69atwxdffOF1XxaLBQCQkZEBnU4X8LF7w6hRo1BTU4Njx45hzZo1KC0txdVXX90nj63RaDBv3jz8+c9/7pPHIwpIEFGvWrhwoZg9e7bHbXfeeadITU31uC0/P1/85je/ERqNRlRXV7tvX7RokViyZIlITk4Wr776qs/H2bVrl5DL5aKlpaXLz1avXi3OPvts0dzcLLRaraisrBRCCPHDDz8IAKKsrMxj+2eeeUbk5+cLh8MhhBBi3bp1ori4WMTFxYlp06aJ1atXCwCiqanJ53jy8/PFc88953HbhAkTxJVXXun+vrGxUSxYsECkpKQIrVYrLr74YlFRUeFxn/fee0+MHDlSqNVqkZ+fL55++ukuj/Poo4+KBQsWiPj4eJGXlyc+/PBDUVdXJy6//HIRHx8vRo8eLXbu3Om+z5EjR8TPfvYzkZKSInQ6nRg5cqT4+OOP3T83m81Co9GIL7/80ufxERFR+HhbW13Wrl0rlEqlsFqtkvblbb0SQgiDwSASExPFDz/8IObMmSMefvhhr/cHINauXRvwcex2u0hJSRHr169337ZmzRpx1llnub+fPHmy+Oc//ymEEOKxxx4Tt912m6Rj2Lhxo9912d9663A4RHp6unjvvffc248dO1ZkZGS4v9+2bZtQKpVCr9cLIYRobm4WixYtEhkZGSIxMVFMnz5d7Nmzx7398uXLxdixY8WqVatEYWGhkMlk7tcUHc2ePVtcf/31Po9r+fLlAoDH18aNG4UQQtx7772ipKREaLVaUVhYKB544AFhsViEEEK8+uqrXe736quvisrKSgFA7N692/0YTU1NHvttbGwU8+bNE+np6SIuLk4UFxeLV155xWNcBQUFYtWqVT7HTUREvWfWrFkiNzdXGAyGLj/ruA5KeT/aeV1wff/AAw+IkpISj/sOGzZMPPjggwKA+/20N88884yYNGmSx21r1qwRAMSHH37YZXuHwyGam5uFEKdf3zz++OMiOztb5Ofnez0WAGLlypXi0ksvFVqtVgwfPlxs27ZNHDhwQJx//vlCp9OJs88+Wxw8eNDjsT766CMxYcIEodFoRGFhoXjooYf8vl5yrecdvfDCCwKAR9yhO2uyEIFfTwghxKZNm4RarRZGo9HnOIn6CjPRifrY4cOH8dlnn0GlUnX5WWZmJmbOnInXXnsNwOkM8htvvDHgfrds2YKhQ4ciKSmpy89WrVqF+fPnIzk5GZdccok7233YsGGYOHEi3nzzTY/t33rrLcybN8/9UbVf/OIXuOKKK7Bnzx786le/wrJly4I6ZiEENm3ahLKyMo/jvv766/Htt9/io48+wtdffw0hBC655BJ3xtquXbtw9dVXY+7cuSgtLcVDDz2EBx98sEtZm+eeew5Tp07F7t27cemll2LBggW47rrrMH/+fHz33XcoLi7Gdddd5/7o3uLFi2E2m7FlyxaUlpbij3/8IxISEtz7U6vVGDt2LP773/8GdZxERBR+WVlZsNlsWLt2bY9KiK1ZswbDhg3DsGHDMH/+fLz66qs92t/evXvR3NyMSZMmuW8bM2YMKioqUF1djaqqKlRUVGD06NE4ePAgVq9ejd///vfdfryO/K23MpkMP/nJT7Bp0yYAQFNTE/bv3w+r1Yr9+/cDcJaLmThxIhISEiCEwKWXXora2lp88skn2LVrFyZMmIAZM2agsbHR/ZgHDx7EP//5T7z//vvuj8l3lpWVhe3bt6Oqqsrrz++++25cffXV7k/01dTU4JxzzgEAJCYmYvXq1di/fz/+9Kc/4W9/+5u7HM6cOXNw1113ubPnampqMGfOHElz9eCDD2L//v349NNPUVZWhhUrViA9Pd1jm8mTJ/M1AhFRGDQ2NuKzzz7D4sWLvX5SOyUlxev9fL0f9eXyyy9HU1OTu4zIV199hcbGRlx22WUB77tlyxaPtR4A3nzzTQwbNgyzZ8/usr1MJkNycrL7+y+//BJlZWXYsGED1q9f7/NxHn30UVx33XXYs2cPhg8fjnnz5uFXv/oVfvvb3+Lbb78FANx6663u7T///HPMnz8ft912G/bv34+//vWvWL16NR577LGAx+RSW1uLDz74AAqFwuNTct1Zk6W+npg0aRKsViu++eYbyeMk6jVhC98T9RMLFy4UCoVCxMfHi7i4OPfV12effdZjO9fV5Q8//FAMGTJEOBwO8dprr4nx48cLIUTATPTbb79dXHDBBV1ur6ioECqVSpw6dUoI4czQGzx4sLDb7UIIIZ599llRVFTk3r68vFwAEPv27RNCCHHfffeJ0aNHe+xz2bJlkjLR1Wq1iI+PFyqVSgAQcXFxYuvWre5xAXB/L4QQ9fX1QqvVurPw5s2bJ37605967Peee+4RI0eO9Hic+fPnu7+vqakRAMSDDz7ovu3rr78WAERNTY0QQogxY8aIhx56yOfYhRDi//2//+c3O46IiMLHXya6EELcf//9QqlUitTUVHHxxReLJ598UtTW1nrd1lcm+jnnnCOef/55IYQQVqtVpKeniw0bNnTZDhIz0deuXSsUCkWXjOwVK1aIoUOHiqFDh4oVK1YIIYSYMWOGWLt2rXj33XfFqFGjxLhx48TmzZt97ttfJrqU9faFF15wr/UffvihmDRpkrjyyivFX/7yFyGEEBdddJG47777hBBCfPnllyIpKUmYTCaPxxkyZIj461//KoRwZq6pVCpRV1fnd05OnDghzj77bAFADB06VCxcuFCsWbPG/RpFiMDn2uXJJ58UEydOdH/vLXtOSib6ZZddJm644Qa/j3XHHXeIadOmBRwTERGF1o4dOwQA8cEHHwTcNtD7USF8Z6Lv3r1bLF261L0e3HDDDeKOO+4Qu3fvDpiJPnbsWPHII4943DZixAhx+eWXBxzzwoULRWZmpjCbzV2OpXMm+gMPPOD+3vV+t+OnpN5++20RFxfn/v68884Tjz/+uMd+//GPf4js7Gyf41m+fLmQy+UiPj5eaLVadywj0CflpKzJUl5PuAwYMECsXr3a72MS9QVmohP1genTp2PPnj3YsWMHlixZgpkzZ3o0Fevo0ksvhcFgwJYtW/DKK69IykIHgPb2dsTFxXW5fdWqVZg5c6Y7i+qSSy5BW1sb/v3vfwMA5s6di6qqKmzfvh2A8yr5uHHjMHLkSADOzuJnnnmmxz4nT54saUz33HMP9uzZg82bN2P69OlYtmyZO4OsrKwMSqUSZ511lnv7tLQ0DBs2DGVlZe5tOjdJnTp1Kg4cOOBRr/yMM85w/z8zMxOAM7uv8211dXUAgNtuuw2///3vMXXqVCxfvhx79+7tMnatVhuwwQsREUWmxx57DLW1tVi5ciVGjhyJlStXYvjw4SgtLZV0//LycnzzzTeYO3cuAECpVGLOnDl45ZVXuj2m9vZ2aDSaLo1Hb775ZpSXl6O8vBw333wzVq9ejcTEREyZMgU33XQT1q5di2effRZz586F2WwO+nGlrLfTpk3Dvn37UF9fj82bN2PatGmYNm0aNm/eDJvNhm3btuH8888H4PyUmMFgQFpaGhISEtxflZWVOHTokPsx8vPzkZGR4Xds2dnZ+Prrr1FaWorbbrsNVqsVCxcuxMUXXwyHw+H3vu+99x7OPfdcZGVlISEhAQ8++KC7bn1P3HLLLXjnnXcwbtw43Hvvvdi2bVuXbfgagYgoPMSPnwjz18S7I3/vRwP5v//7P7z77ruora3Fu+++26P35UIIyWMeM2YM1Gp1wO2kvAc2mUxobW0F4Fy/H3nkEY+1e9GiRaipqfG7pg0bNgx79uzBzp078dhjj2HcuHFdste7syZLfT0BcN2lyMEgOlEfiI+PR3FxMc444wy88MILMJvNePjhh71uq1QqsWDBAixfvhw7duzAtddeK+kx0tPTuzS5stvteP311/Hxxx9DqVRCqVRCp9OhsbHR3WA0Ozsb06dPx1tvvQUAePvttzF//nz3Prwt+ELix9nT09NRXFyMKVOm4P3338dzzz3nDt772kfHx5P62B0/kufa3tttrjfkN910Ew4fPowFCxagtLQUkyZN6tKspLGxMeCbfyIiilxpaWm46qqr8Mwzz6CsrAw5OTl4+umnJd131apVsNlsyM3Nda+fK1aswAcffNDthpLp6ekwGo3uJmHe1NfX45FHHsGf//xn7NixA0OHDkVJSQmmT58Oq9WKioqKoB9Xyno7evRopKWlYfPmze4g+vnnn4/Nmzdj586daG9vx7nnngvAuZZmZ2djz549Hl/l5eW455573PuX0hDdZfTo0Vi8eDHefPNNbNiwARs2bMDmzZt9br99+3bMnTsXs2bNwvr167F7924sW7bM79wCgFwu7zInnZuezpo1C1VVVVi6dClOnDiBGTNm4O677/bYhq8RiIjCo6SkBDKZzH0ROBB/70cDGT16NIYPH45rrrkGI0aMwOjRoyU/ZufXCkOHDpU8ZqnrZ7DvgR0OBx5++GGPtbu0tBQHDhzwmoznolarUVxcjFGjRuH+++/HuHHjcMstt7h/3t01WerrCYDrLkUOBtGJwmD58uV4+umnceLECa8/v/HGG7F582bMnj0bAwYMkLTP8ePH44cffvB4Y/jJJ59Ar9dj9+7dHgvTu+++iw8//BANDQ0AgGuvvRZr1qzB119/jUOHDrkz7wBg+PDh2Llzp8djuWqsBWPAgAFYsmQJ7r77bgghMHLkSNhsNuzYscO9TUNDAyoqKjBixAgAwMiRI9116Fy2bduGoUOHetRg647Bgwfj5ptvxgcffIC77roLf/vb3zx+/r///Q/jx4/v0WMQEVFkUKvVGDJkCNra2gJua7PZ8Prrr+OZZ57xWDu///575Ofnd+kjItW4ceMAwF1n3JulS5fijjvuwKBBg2C32z0CvDabzeNTWFJJWW9dddHXrVuH//3vfzjvvPMwZswYWK1WrFy5EhMmTEBiYiIAYMKECaitrYVSqURxcbHHV+fa4d3h+iSc61yp1eoux71161bk5+dj2bJlmDRpEkpKSrrUVfd2P9cb8JqaGvdt3uq1Z2Rk4Prrr8cbb7yB559/Hi+//LLHz/kagYgoPFJTUzFz5kz85S9/8bqmNzc3+7xv5/ejUtx4443YtGmT5Cx0wPm+vPNaP2/ePFRUVGDdunVdthdCoKWlRfL+u2vChAkoLy/vsnYXFxe7LzJL8eCDD+Ltt9/Gd999B6D7a7LU1xOHDh2CyWTiuksRgUF0ojCYNm0aRo0ahccff9zrz0eMGIH6+np3A1Appk+fjra2Nuzbt89926pVq3DppZdi7NixGD16tPvr5z//OTIyMvDGG28AAK688kq0trbilltuwfTp05Gbm+vex69+9Sv88MMPuO+++1BRUYF//vOf7saeUj+S5rJ48WKUl5fj/fffR0lJCWbPno1Fixbhq6++wvfff4/58+cjNzfX3XDlrrvuwpdffolHH30UFRUVeO211/Diiy92yQgL1tKlS/H555+jsrIS3333Hf7zn/+4AwkAcOTIERw/fhwXXnhhjx6HiIh6T0tLS5fsperqaqxfvx7z58/H+vXrUVFRgfLycjz99NP45JNPvDb06mz9+vVoamrC//3f/3msnaNHj8YvfvEL9ye5gpWRkYEJEyZ0uTjssmHDBhw4cACLFy8G4Cyd9sMPP+DTTz/Fyy+/DIVCgWHDhvl9jNLS0i5zImW9BZyvTd566y2cccYZSEpKcgfW33zzTUybNs293YUXXogpU6bgiiuuwOeff44jR45g27ZteOCBB4K+yH7LLbfg0UcfxdatW92l5a677jpkZGRgypQpAICCggLs3bsX5eXlqK+vh9VqRXFxMaqrq/HOO+/g0KFDeOGFF7B27VqPfRcUFKCyshJ79uxBfX09zGYztFotzj77bPzhD3/A/v37sWXLFjzwwAMe9/vd736HdevW4eDBg9i3bx/Wr1/v8RrBaDRi165duOiii4I6ViIiCo2XXnoJdrsdkydPxvvvv48DBw6grKwML7zwgnvt8KXj+1EpFi1ahFOnTuGmm26SPL6ZM2fi66+/9ggaX3311ZgzZw6uueYaPPHEE/j2229RVVWF9evX48ILL8TGjRsl77+7fve73+H111/HQw89hH379qGsrAxr1qzpsg4GUlRUhNmzZ+N3v/sdAHR7TZb6euK///0vioqKMGTIkJ5PAlFPhaEOO1G/4qsh1ptvvinUarWorq4WQvhubOYSqLGoEELMnTtX/OY3vxFCCFFbWyuUSqW7aVhnS5YsEWPGjHF/f9VVVwkA4pVXXumy7bp160RxcbHQaDRi2rRpYsWKFQKAaG9v9zkWX8ezaNEiMWrUKGG320VjY6NYsGCBSE5OFlqtVsycOVNUVFR4bP/ee++JkSNHCpVKJfLy8sRTTz0V8HHQqclb54Yxt956qxgyZIjQaDQiIyNDLFiwQNTX17u3f/zxx8XMmTN9HhsREYXXwoUL3c2tOn4tXLhQHDp0SCxatEgMHTpUaLVakZKSIs4880yfa2jndeRnP/uZuOSSS7xuu2vXLgFA7Nq1y31b5zXHn5UrV4qzzz67y+1Go1EMHTrUo+GlEEL87W9/E5mZmSIvL0+sX7/e535djUW9fQkhJK23paWlAoC4++673bc999xzAkCXx25tbRVLliwROTk5QqVSicGDB4trr73W/ZrGWwMxb9577z1xySWXiOzsbKFWq0VOTo74+c9/Lvbu3evepq6uTvz0pz8VCQkJHg1A77nnHpGWliYSEhLEnDlzxHPPPSeSk5Pd9zOZTOLnP/+5SElJEQDc53///v3i7LPPFlqtVowbN0588cUXHvt99NFHxYgRI4RWqxWpqali9uzZ4vDhw+79vvXWW2LYsGEBj42IiHrPiRMnxOLFi93NQ3Nzc8Xll1/u/lsuhLT3o/4ai3ojpbGozWYTubm54rPPPvO43W63ixUrVogzzzxT6HQ6kZSUJCZOnCj+9Kc/CaPRKITwHTvw1ljU3/tdIbw3Hf/ss8/EOeecI7RarUhKShKTJ08WL7/8ss9j8bWeb926VQAQ27dvF0J0f00O9HpCCGdz8yeeeMLnGIn6kkwIiZ9jIaKIV1paigsvvBAHDx50f+y6Nzz22GNYuXIljh492muPES5msxklJSV4++23uzQ1JSIi6gmTyYRhw4bhnXfeCZgtR5Fp8uTJWLp0KebNmxfuoRARUYR66aWXsG7dOnz++efhHkpU+9///ocZM2agoqICycnJ4R4OEZThHgARhc6YMWPw5JNP4siRIx6duXvqpZdewplnnom0tDRs3boVTz31FG699daQ7T+SVFVVYdmyZQygExFRyMXFxeH1119HfX19uIdC3VBXV4df/OIXuOaaa8I9FCIiimC//OUv0dTUBL1e36vJbbHuxIkTeP311xlAp4jBTHQiCuiOO+7AmjVr0NjYiLy8PCxYsAC//e1voVTyOhwREREREREREcU2BtGJiIiIiIiIiIiIiHyQh3sARERERERERERERESRikF0IiIiIiIiIiIiIiIfGEQnIiIiIiIiIiIiIvKBQXQiIiIiIiIiIiIiIh8YRCciIiIiIiIiIiIi8oFBdCIiIiIiIiIiIiIiHxhEJyIiIiIiIiIiIiLygUF0IiIiIiIiIiIiIiIfGEQnIiIiIiIiIiIiIvLh/wMZ/mNkzoo/dAAAAABJRU5ErkJggg==", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Scatter plots: most important features vs price\n", "fig, axes = plt.subplots(1, 3, figsize=(15, 4))\n", "\n", "axes[0].scatter(df['RM'], df['MEDV'], alpha=0.5, color='steelblue')\n", "axes[0].set_xlabel('RM (Avg Rooms)')\n", "axes[0].set_ylabel('Price')\n", "axes[0].set_title('Rooms vs Price')\n", "\n", "axes[1].scatter(df['LSTAT'], df['MEDV'], alpha=0.5, color='tomato')\n", "axes[1].set_xlabel('LSTAT (% Lower Status)')\n", "axes[1].set_ylabel('Price')\n", "axes[1].set_title('LSTAT vs Price')\n", "\n", "axes[2].scatter(df['CRIM'], df['MEDV'], alpha=0.5, color='seagreen')\n", "axes[2].set_xlabel('CRIM (Crime Rate)')\n", "axes[2].set_ylabel('Price')\n", "axes[2].set_title('Crime Rate vs Price')\n", "\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 21, "id": "7ab4dcae-8cf8-4e0b-97c7-5d719d07ff88", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(3, 3, figsize=(15, 15))\n", "cols = [ 'RM', 'ZN', 'INDUS', 'NOX', 'AGE', 'RAD', 'DIS', 'PTRATIO', 'LSTAT']\n", "# CRIM\tZN\tINDUS\tCHAS\tNOX\tRM\tAGE\tDIS\tRAD\tTAX\tPTRATIO\tLSTAT\tMEDV\tCAT_MEDV\n", "for ax, col in zip(axes.flatten(), cols):\n", " sns.boxplot(y=df[col], ax = ax)\n", " ax.set_title(col)\n", "\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 22, "id": "b807be56-2064-4de6-a164-2d876eb99513", "metadata": {}, "outputs": [], "source": [ "Q1 = df['LSTAT'].quantile(0.25)\n", "Q3 = df['LSTAT'].quantile(0.75)\n", "IQR = (Q3-Q1)*1.5\n", "df = df[(df['LSTAT'] >= Q1 - IQR) & (df['LSTAT'] <= Q3 + IQR)]\n" ] }, { "cell_type": "code", "execution_count": 23, "id": "39d67ce1-8ee2-4209-8c0c-663191004f9a", "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(3, 3, figsize=(15, 15))\n", "cols = [ 'RM', 'ZN', 'INDUS', 'NOX', 'AGE', 'RAD', 'DIS', 'PTRATIO', 'LSTAT']\n", "# CRIM\tZN\tINDUS\tCHAS\tNOX\tRM\tAGE\tDIS\tRAD\tTAX\tPTRATIO\tLSTAT\tMEDV\tCAT_MEDV\n", "for ax, col in zip(axes.flatten(), cols):\n", " sns.boxplot(y=df[col], ax = ax)\n", " ax.set_title(col)\n", "\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 24, "id": "0ee323d4-4298-448e-9ce5-e713328cb5a1", "metadata": {}, "outputs": [], "source": [ "# df['CHAS'] = df['CHAS'].astype('category')\n", "\n", "# df['RAD'] = df['RAD'].astype('category')\n", "\n", "\n", "#Dont do this cuz NNS cant handle this" ] }, { "cell_type": "code", "execution_count": 25, "id": "fef4a6c1-4ad0-479c-be32-a1e4bf8f44c8", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "Index: 499 entries, 0 to 505\n", "Data columns (total 13 columns):\n", " # Column Non-Null Count Dtype \n", "--- ------ -------------- ----- \n", " 0 CRIM 499 non-null float64\n", " 1 ZN 499 non-null float64\n", " 2 INDUS 499 non-null float64\n", " 3 CHAS 499 non-null int64 \n", " 4 NOX 499 non-null float64\n", " 5 RM 499 non-null float64\n", " 6 AGE 499 non-null float64\n", " 7 DIS 499 non-null float64\n", " 8 RAD 499 non-null int64 \n", " 9 TAX 499 non-null int64 \n", " 10 PTRATIO 499 non-null float64\n", " 11 LSTAT 499 non-null float64\n", " 12 MEDV 499 non-null float64\n", "dtypes: float64(10), int64(3)\n", "memory usage: 54.6 KB\n" ] } ], "source": [ "df.info()" ] }, { "cell_type": "code", "execution_count": 26, "id": "b20ecb70-3e25-44b6-a377-178163ae6891", "metadata": {}, "outputs": [], "source": [ "from sklearn.model_selection import train_test_split\n", "from sklearn.preprocessing import StandardScaler\n", "import numpy as npy" ] }, { "cell_type": "markdown", "id": "8c11c613-cd34-4662-80c3-0601d8c919d0", "metadata": {}, "source": [ "## What is StandardScaler?\n", "\n", "It transforms each feature to have **zero mean and unit variance**:\n", "\n", "$$x' = \\frac{x - \\mu}{\\sigma}$$\n", "\n", "So after scaling, every column has mean ≈ 0 and std ≈ 1.\n", "\n", "---\n", "\n", "## Why do NNs need it?\n", "\n", "Look at your raw features:\n", "\n", "| Feature | Typical Range |\n", "|---------|--------------|\n", "| CRIM | 0.006 – 89 |\n", "| TAX | 187 – 711 |\n", "| NOX | 0.38 – 0.87 |\n", "| RM | 3.5 – 8.7 |\n", "\n", "Without scaling, **TAX dominates** simply because its numbers are large. The network's weights get pulled disproportionately toward high-magnitude features during gradient descent — training becomes unstable and slow.\n", "\n", "With scaling, all features contribute on equal footing.\n", "\n", "---\n" ] }, { "cell_type": "code", "execution_count": 27, "id": "4e9dfc98-5815-4dc6-a283-dcac18092566", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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499 rows × 12 columns

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" ], "text/plain": [ " CRIM ZN INDUS CHAS NOX RM AGE DIS RAD TAX \\\n", "0 0.00632 18.0 2.31 0 0.538 6.575 65.2 4.0900 1 296 \n", "1 0.02731 0.0 7.07 0 0.469 6.421 78.9 4.9671 2 242 \n", "2 0.02729 0.0 7.07 0 0.469 7.185 61.1 4.9671 2 242 \n", "3 0.03237 0.0 2.18 0 0.458 6.998 45.8 6.0622 3 222 \n", "4 0.06905 0.0 2.18 0 0.458 7.147 54.2 6.0622 3 222 \n", ".. ... ... ... ... ... ... ... ... ... ... \n", "501 0.06263 0.0 11.93 0 0.573 6.593 69.1 2.4786 1 273 \n", "502 0.04527 0.0 11.93 0 0.573 6.120 76.7 2.2875 1 273 \n", "503 0.06076 0.0 11.93 0 0.573 6.976 91.0 2.1675 1 273 \n", "504 0.10959 0.0 11.93 0 0.573 6.794 89.3 2.3889 1 273 \n", "505 0.04741 0.0 11.93 0 0.573 6.030 80.8 2.5050 1 273 \n", "\n", " PTRATIO LSTAT \n", "0 15.3 4.98 \n", "1 17.8 9.14 \n", "2 17.8 4.03 \n", "3 18.7 2.94 \n", "4 18.7 5.33 \n", ".. ... ... \n", "501 21.0 9.67 \n", "502 21.0 9.08 \n", "503 21.0 5.64 \n", "504 21.0 6.48 \n", "505 21.0 7.88 \n", "\n", "[499 rows x 12 columns]" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X = df.drop('MEDV', axis=1)\n", "Y = df['MEDV']\n", "X" ] }, { "cell_type": "code", "execution_count": 28, "id": "7a6f9e22-018b-42e6-b7c5-a7a0eb6a7ae3", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[6.3200e-03, 1.8000e+01, 2.3100e+00, ..., 2.9600e+02, 1.5300e+01,\n", " 4.9800e+00],\n", " [2.7310e-02, 0.0000e+00, 7.0700e+00, ..., 2.4200e+02, 1.7800e+01,\n", " 9.1400e+00],\n", " [2.7290e-02, 0.0000e+00, 7.0700e+00, ..., 2.4200e+02, 1.7800e+01,\n", " 4.0300e+00],\n", " ...,\n", " [6.0760e-02, 0.0000e+00, 1.1930e+01, ..., 2.7300e+02, 2.1000e+01,\n", " 5.6400e+00],\n", " [1.0959e-01, 0.0000e+00, 1.1930e+01, ..., 2.7300e+02, 2.1000e+01,\n", " 6.4800e+00],\n", " [4.7410e-02, 0.0000e+00, 1.1930e+01, ..., 2.7300e+02, 2.1000e+01,\n", " 7.8800e+00]], shape=(499, 12))" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ "x = X.values\n", "x" ] }, { "cell_type": "code", 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[18.3],\n", " [21.2],\n", " [17.5],\n", " [16.8],\n", " [22.4],\n", " [20.6],\n", " [23.9],\n", " [22. ],\n", " [11.9]])" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" } ], "source": [ "y = y.reshape(-1, 1)\n", "y # a matrix insread of array. where 1st row is a number and so on\n", "# StandardScaler expects a 2D array " ] }, { "cell_type": "code", "execution_count": 32, "id": "550bec8c-4fcc-4035-89ed-748e662ea6be", "metadata": {}, "outputs": [], "source": [ "X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.2, random_state=42)\n", "\n", "scaler_X = StandardScaler()\n", "scaler_y = StandardScaler()\n", "\n", "X_train = scaler_X.fit_transform(X_train)\n", "X_test = scaler_X.transform(X_test) # we want to normalize based on Alpha and mean of test data for test\"\n", "y_train = scaler_y.fit_transform(y_train)\n", "y_test = scaler_y.transform(y_test)" ] }, { "cell_type": "markdown", "id": "19bd22fe-fef7-46e7-b79a-6a7e1ca2fe96", "metadata": {}, "source": [ "## `fit` → `transform` → `fit_transform`\n", "\n", "| Method | What it does |\n", "|---|---|\n", "| `fit(X)` | Learns parameters from X (e.g. mean, std) — **stores** them |\n", "| `transform(X)` | Applies the learned parameters to X |\n", "| `fit_transform(X)` | `fit` + `transform` in one step |\n", "\n", "---\n", "\n", "## Concretely with `StandardScaler`\n", "\n", "`StandardScaler` normalizes using: `(x - mean) / std`\n", "\n", "```python\n", "scaler.fit(X_train) # learns mean=5.2, std=1.8 FROM X_train\n", "scaler.transform(X_train) # applies: (X_train - 5.2) / 1.8\n", "scaler.transform(X_test) # applies: (X_test - 5.2) / 1.8 ← same parameters!\n", "```\n", "\n", "---\n", "\n", "## Why NOT `fit_transform` on test data?\n", "\n", "```python\n", "# WRONG ❌\n", "X_train = scaler.fit_transform(X_train) # learns from train → ok\n", "X_test = scaler.fit_transform(X_test) # re-learns from test → data leakage!\n", "\n", "# CORRECT ✅\n", "X_train = scaler.fit_transform(X_train) # learn + apply on train\n", "X_test = scaler.transform(X_test) # apply train's stats on test\n", "```\n", "\n", "If you `fit` on test data, the scaler learns a **different mean/std** from the test set — your model then sees test data on a different scale than it was trained on, which is **data leakage** and gives you **overly optimistic evaluation metrics**.\n", "\n", "---\n", "\n", "The rule of thumb: **fit once on train, transform everywhere else.**" ] }, { "cell_type": "code", "execution_count": 33, "id": "c409ee90-524b-4133-a1a2-e628ffd2d701", "metadata": {}, "outputs": [], "source": [ "# import tensorflow as tf\n", "from tensorflow import keras" ] }, { "cell_type": "code", "execution_count": 34, "id": "6cd33f4c-782c-4763-9b01-c5166ab62928", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(399, 12)" ] }, "execution_count": 34, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# help(keras.layers.Dense)\n", "X_train.shape" ] }, { "cell_type": "code", "execution_count": 35, "id": "951dc75f-6721-4cf8-b3e9-f365051507fb", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/soham/anaconda3/envs/jupyter_env/lib/python3.10/site-packages/keras/src/layers/core/dense.py:95: UserWarning: Do not pass an `input_shape`/`input_dim` argument to a layer. When using Sequential models, prefer using an `Input(shape)` object as the first layer in the model instead.\n", " super().__init__(activity_regularizer=activity_regularizer, **kwargs)\n" ] } ], "source": [ "# model_tf = keras.Sequential([\n", "# keras.layers.Dense(64, activation='relu', input_shape=(X_train.shape(1)),\n", "# ])\n", "\n", "model_tf = keras.Sequential([\n", " keras.layers.Dense(64, activation='relu', input_shape=(X_train.shape[1],)),\n", " keras.layers.Dense(32, activation='relu'),\n", " keras.layers.Dense(1)\n", "])" ] }, { "cell_type": "code", "execution_count": 36, "id": "d75ed6b5-578f-49f6-a5c0-f98fb028c1f9", "metadata": {}, "outputs": [], "source": [ "# help(model_tf.compile)\n", "\n", "model_tf.compile(optimizer='adam', loss='mse', metrics=['mae'])" ] }, { "cell_type": "code", "execution_count": 37, "id": "6774e53a-cf48-4310-a0c7-c942697ca932", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Epoch 1/100\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "2026-05-13 13:37:47.463136: I external/local_xla/xla/service/service.cc:163] XLA service 0x775264012b80 initialized for platform Host (this does not guarantee that XLA will be used). Devices:\n", "2026-05-13 13:37:47.463153: I external/local_xla/xla/service/service.cc:171] StreamExecutor device (0): Host, Default Version\n", "2026-05-13 13:37:47.476031: I tensorflow/compiler/mlir/tensorflow/utils/dump_mlir_util.cc:269] disabling MLIR crash reproducer, set env var `MLIR_CRASH_REPRODUCER_DIRECTORY` to enable.\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\u001b[1m 1/13\u001b[0m \u001b[32m━\u001b[0m\u001b[37m━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[1m7s\u001b[0m 594ms/step - loss: 0.9269 - mae: 0.6976" ] }, { "name": "stderr", "output_type": "stream", "text": [ "WARNING: All log messages before absl::InitializeLog() is called are written to STDERR\n", "I0000 00:00:1778659667.704717 135730 device_compiler.h:196] Compiled cluster using XLA! This line is logged at most once for the lifetime of the process.\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\u001b[1m13/13\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m1s\u001b[0m 41ms/step - loss: 0.6093 - mae: 0.5493 - val_loss: 0.3736 - val_mae: 0.4022\n", "Epoch 2/100\n", "\u001b[1m13/13\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m0s\u001b[0m 4ms/step - loss: 0.3334 - mae: 0.4053 - val_loss: 0.2670 - val_mae: 0.3384\n", "Epoch 3/100\n", "\u001b[1m13/13\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m0s\u001b[0m 9ms/step - loss: 0.2380 - mae: 0.3393 - val_loss: 0.2117 - val_mae: 0.2982\n", "Epoch 4/100\n", "\u001b[1m13/13\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m0s\u001b[0m 6ms/step - loss: 0.1922 - mae: 0.3095 - val_loss: 0.1844 - val_mae: 0.2710\n", "Epoch 5/100\n", "\u001b[1m13/13\u001b[0m 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0.1304 - val_loss: 0.1087 - val_mae: 0.2223\n", "Epoch 94/100\n", "\u001b[1m13/13\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m0s\u001b[0m 4ms/step - loss: 0.0332 - mae: 0.1274 - val_loss: 0.1097 - val_mae: 0.2232\n", "Epoch 95/100\n", "\u001b[1m13/13\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m0s\u001b[0m 4ms/step - loss: 0.0342 - mae: 0.1305 - val_loss: 0.1167 - val_mae: 0.2276\n", "Epoch 96/100\n", "\u001b[1m13/13\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m0s\u001b[0m 6ms/step - loss: 0.0327 - mae: 0.1274 - val_loss: 0.1138 - val_mae: 0.2281\n", "Epoch 97/100\n", "\u001b[1m13/13\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m0s\u001b[0m 5ms/step - loss: 0.0332 - mae: 0.1289 - val_loss: 0.1123 - val_mae: 0.2292\n", "Epoch 98/100\n", "\u001b[1m13/13\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m0s\u001b[0m 4ms/step - loss: 0.0331 - mae: 0.1289 - val_loss: 0.1177 - val_mae: 0.2360\n", "Epoch 99/100\n", "\u001b[1m13/13\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m0s\u001b[0m 4ms/step - loss: 0.0318 - mae: 0.1255 - val_loss: 0.1120 - val_mae: 0.2280\n", "Epoch 100/100\n", "\u001b[1m13/13\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m0s\u001b[0m 7ms/step - loss: 0.0313 - mae: 0.1235 - val_loss: 0.1123 - val_mae: 0.2255\n" ] } ], "source": [ "history = model_tf.fit(\n", " X_train, y_train,\n", " validation_data=(X_test, y_test),\n", " epochs=100,\n", " batch_size=32,\n", " verbose=1\n", ")" ] }, { "cell_type": "code", "execution_count": 38, "id": "a355c510-ae45-4d9c-96e0-affe0544c375", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1, 2, figsize=(14, 4))\n", "\n", "axes[0].plot(history.history['loss'], label='Train Loss')\n", "axes[0].plot(history.history['val_loss'], label='Val Loss')\n", "axes[0].set_title('Model Loss (MSE)')\n", "axes[0].set_xlabel('Epoch')\n", "axes[0].set_ylabel('Loss')\n", "axes[0].legend()\n", "\n", "axes[1].plot(history.history['mae'], label='Train MAE')\n", "axes[1].plot(history.history['val_mae'], label='Val MAE')\n", "axes[1].set_title('Model MAE')\n", "axes[1].set_xlabel('Epoch')\n", "axes[1].set_ylabel('MAE')\n", "axes[1].legend()\n", "\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 83, "id": "676c7786-e3f1-44b2-ad23-d6470f9d31e8", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(12,)\n" ] }, { "data": { "text/plain": [ "array([-0.40755417, 3.38862394, -1.43226129, -0.28513297, -1.31389557,\n", " 1.33284088, -1.6852375 , 2.36506842, -0.52362334, -1.07883556,\n", " -0.21254122, -1.11334149])" ] }, "execution_count": 83, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sample_idx = 7\n", "\n", "\n", "X_sample = X_test[sample_idx]\n", "\n", "print(X_sample.shape)\n", "X_sample" ] }, { "cell_type": "code", "execution_count": 84, "id": "93b1d0d5-2eb7-4183-aea6-28bcf72136f4", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(1, 12)\n" ] }, { "data": { "text/plain": [ "array([[-0.40755417, 3.38862394, -1.43226129, -0.28513297, -1.31389557,\n", " 1.33284088, -1.6852375 , 2.36506842, -0.52362334, -1.07883556,\n", " -0.21254122, -1.11334149]])" ] }, "execution_count": 84, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X_sample = X_sample.reshape(1, -1)\n", "print(X_sample.shape)\n", "X_sample" ] }, { "cell_type": "code", "execution_count": 85, "id": "f3cabd5d-a33c-4df8-92c9-0b6710d5520e", "metadata": {}, "outputs": [], "source": [ "y_actual_scaled = y_test[sample_idx]\n" ] }, { "cell_type": "code", "execution_count": 86, "id": "07333be5-7416-46ae-b536-2fd76d4ef80c", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\u001b[1m1/1\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m0s\u001b[0m 37ms/step\n" ] }, { "data": { "text/plain": [ "array([[1.125472]], dtype=float32)" ] }, "execution_count": 86, "metadata": {}, "output_type": "execute_result" } ], "source": [ "y_pred = model_tf.predict(X_sample)\n", "y_pred" ] }, { "cell_type": "code", "execution_count": 87, "id": "71633660-5fe2-45d9-89ed-228ef95e817a", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([1.34379218])" ] }, "execution_count": 87, "metadata": {}, "output_type": "execute_result" } ], "source": [ "y_actual_scaled" ] }, { "cell_type": "code", "execution_count": null, "id": "f85602b2-a1db-4de1-bbc8-ac36e7c8b7bb", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.16" } }, "nbformat": 4, "nbformat_minor": 5 }