From 2bd3e1e06767c68fc8f03ad5b4875f6171f499ae Mon Sep 17 00:00:00 2001
From: Sang Putu Sandhyana Yogi
<79888425+youronlydimwit@users.noreply.github.com>
Date: Thu, 10 Oct 2024 20:24:28 +0700
Subject: [PATCH] Add files via upload
---
...Digital_Marketing_Expense_Prediction.ipynb | 703 ++++++++++++++++++
1 file changed, 703 insertions(+)
create mode 100644 Predictions/Random Forest/Digital_Marketing_Expense_Prediction.ipynb
diff --git a/Predictions/Random Forest/Digital_Marketing_Expense_Prediction.ipynb b/Predictions/Random Forest/Digital_Marketing_Expense_Prediction.ipynb
new file mode 100644
index 0000000..5878e3c
--- /dev/null
+++ b/Predictions/Random Forest/Digital_Marketing_Expense_Prediction.ipynb
@@ -0,0 +1,703 @@
+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "id": "8aa9bfc3",
+ "metadata": {},
+ "source": [
+ "# Load Libraries & Data"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "id": "1b547880",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "import pandas as pd\n",
+ "import seaborn as sns\n",
+ "import matplotlib.pyplot as plt"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "id": "95b0bd4f",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
+ "
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+ "\n",
+ "
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+ " \n",
+ " \n",
+ " | \n",
+ " Impressions | \n",
+ " Reach | \n",
+ " Video_plays | \n",
+ " Link_clicks | \n",
+ " Engagement | \n",
+ " Live_time | \n",
+ " Amount_spent | \n",
+ "
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+ "text/plain": [
+ " Impressions Reach Video_plays Link_clicks Engagement Live_time \\\n",
+ "0 950185 864668 786848 11226 168 9 \n",
+ "1 841657 774324 712378 23288 116 7 \n",
+ "2 763610 733066 674421 30272 151 6 \n",
+ "3 760239 691817 629553 32309 485 6 \n",
+ "4 705633 663295 603598 6788 102 7 \n",
+ "\n",
+ " Amount_spent \n",
+ "0 254775099 \n",
+ "1 125741855 \n",
+ "2 112957410 \n",
+ "3 111369556 \n",
+ "4 122996874 "
+ ]
+ },
+ "execution_count": 2,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "df = pd.read_excel('https://raw.githubusercontent.com/youronlydimwit/Data_ScienceUse_Cases/main/Predictions/Data/Digital_Marketing_Report.xlsx')\n",
+ "df.head()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "dbaf386c",
+ "metadata": {},
+ "source": [
+ "# Features in this dataset\n",
+ "This is a self-generated data, with the intent to predict the amount of money (in IDR) spent if we wanted to achieve said parameters / metrics in digital marketing campaign.\n",
+ "- `Impressions`: How many times our content is displayed\n",
+ "- `Reach`: How many users saw our content\n",
+ "- `Video_plays`: How many users clicked on our content\n",
+ "- `Link_clicks`: How many users clicked on our web and/or product links\n",
+ "- `Engagement`: How many comments users submitted on our content\n",
+ "- `Live time`: The amount of time our content is displayed on a campaign (days)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "id": "6e6ef672",
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "\n",
+ "RangeIndex: 100 entries, 0 to 99\n",
+ "Data columns (total 7 columns):\n",
+ " # Column Non-Null Count Dtype\n",
+ "--- ------ -------------- -----\n",
+ " 0 Impressions 100 non-null int64\n",
+ " 1 Reach 100 non-null int64\n",
+ " 2 Video_plays 100 non-null int64\n",
+ " 3 Link_clicks 100 non-null int64\n",
+ " 4 Engagement 100 non-null int64\n",
+ " 5 Live_time 100 non-null int64\n",
+ " 6 Amount_spent 100 non-null int64\n",
+ "dtypes: int64(7)\n",
+ "memory usage: 5.6 KB\n"
+ ]
+ }
+ ],
+ "source": [
+ "df.info()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "582169ad",
+ "metadata": {},
+ "source": [
+ "# Running Exploratory Data Analysis"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "463472a0",
+ "metadata": {},
+ "source": [
+ "Firstly we will try to inspect the data whether it has linearity or not before feeding it into our models later."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "id": "af3f177f",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "# Independent Columns to be tested\n",
+ "cols = ['Impressions', 'Reach', 'Video_plays', 'Link_clicks', 'Engagement', 'Live_time']"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "id": "4f4e7dc3",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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Df/3DZvbCnMf/ppk957/W02b2Kv/2683sETObNbMzZvan/u07/a8R8v9+oZnda2aTZjZkZj+X89rvNbN/MrOP+q//pJldu9LXLvh8bvR39II5t/2AmT2x3DiX8RPA7wBJ4A0FX8uZ2S+Y2VF/TH9gZnvM7H7/9f/JzFpyHv9z/nue9D+DC4t9Rv5tizs+2ewMM/sTP4vkmJm91r/vf+NNIv/Kz6b5q6XeiL8T92f+v5EZM3vCzK7y71vp38ll/n2T/mf/Izn3fcTMPmhm/+k/90Ez2+Pfd5//sMf98f3oCp+3iMiSnHOngS/iLRACi9f9w37MetxyjniZ2U+Z2VP+tWnEzG7PfT3zskC+4V+zh83sNTl3X2xevJ0zsy+Z2UCxMfmv//qcv4fMbNzMXmxmbWb2cTOb8Mf3sJmdt8xb/AngAbzJ6Vtz7/CvtX9tZp/3r6eHzOx8M/tzPzYcMbNrch5/uR9Lpv14ekvOfXlZBVaQBejHpJ/349uUf403M7sc+BDwUn8M08u8F8zsdWb2bf8zfM7Mfs2//WYzO2Fm7/E/q+Nm9mM5z2v1Y96z5sXqD5lZe8Fz3+3Hs1Nm9lP+fW8Dfgz4DX98/77c+ERECnwW6MP72RoAM+sFXg981P/74kkuM2v3r81T5mW65S1omTfv+Rcze968n9/fkXNfq3/9Pun/+nNbIQlhpWtnwWN7zew//K895f95m3/fD5vZowWPf7eZfdb/c9Frd8HjW/34clXObVvMy/DfamYD/tecNm/+8DUzW24t5K3AvwGf49z4d8DM/tC8WD9vZv9uZv1m9gnz4vfD5m2sZR+/179txv99b859eSfxLCcL0M7Oyd7qx59xM/tf/n2vAd4D/Kg/hseXeS/ZuDrif4bHst8nOzuX/0t/fEcsZ05rZpvM7O/82Pac/76DOc9d95xQaoRzTr/0a1W/gOPAd/t//kkgBfwUEAT+EHgW+CDQCnwvMAd0+Y//iP/3m/z7PwAczHltB3wZLwi2Ay8GxoAb/Nd/q//1W4EXAKPAhf5zdwJ7/D/fD7zF/3MXcGPOYxwQ8v/+VeCvgTa8id3zwKv8+94LxIDX+V/7j4AH/PuW/NpFPq9h4Hty/v7PwG8tN84lXudlQBzoBf4SuLfgfgfcC/QAV/qP/W9gN7AJ+DbwVv+xrwTG/c+31X+9+4p9Rv5tB4CfzfmeJ4Gf8z+XtwMnASt87Ar/jl4NPApsBgy4HLhgpX8nQKf/2f8UEPLfwzhwZc5zJ4Hr/fs/AdxT8DkNVvv/kX7pl37V5y/yY+A24JvAB/y/XwRM+HEjAHyP//ct/v3fB+zxr3kvByLAi/37rgdm/OcE/Ne6zL/vgB9LLsWLjQeA9y0xvjvwMknI+ZpH/D/fDvw70OFfv18C9CzzXoeAX/AflwTOy7nvI/619yV4MfQrwDG8xcTszwP/4z827L/We4AWvBg0B7wg5/39bM5r/yTn/mzwH3682IEXq19T7LErfO9OAS/z/9yb89nfjPezzJ/ixZyXAws54/tzvPjaB3T7n+EfFTz3Tv99vs7/vvbmfE5/WO1/t/qlX/pVn7+AvwH+NufvtwPfyPn7cc7GpPcBX/OvVduBbwEn/PsCeD933+Ffh3cDI8Cr/fvvxNsI2gpsAQ4Df7DC2Fa6di5e/4B+4Ifw4k833nzos/59rXg/u1+e89pfB37I/3PRa3eR8fw98L9z/v6LwBf8P/8R3kZS2P/1Mvy5S5HX6QBm/ev5D+HFupac+w/gxbQ9nJ1jfQf4bry5x0eBD/uP7cM77fUW/77b/L/3F37//L+/F/i4/+edePHvb/Bi/4vw5neXFz52he9Tp/9+st+XCzg7b/pJ/3v4K/7n8qN4P4v0+fd/FrjLf42twEPA7TnPXfecUL9q41dDZgya2d/7u7bfKuGxO8zsf8zs6+ZlLL1uI8bYYI455z7svLp9/4gXiO50zsWdc18CEkBuTbf/dM7d55yLA/8Lb6d/e879f+Scm3TORfEuNHc55x50zqWdc/+Ad0G8EUjjBZIrzCzsnDvunBv2XyMJDJrZgHNu3jn3QOGg/a+5H/hN51zMOfcN4G/xLtxZB51zn/Pf28fwLsis8LULfQovCGBm3XhB5lOljjPHW4HPO+emgE8CrzWzrQWPeb9zbtY59yTeDwNfcs6NOOdmgM/jHXkDL4Ph751zj/nfh9/G+z7sXObr53rGOfc3/ufyD3gBZrmsk2KSeD8YXIYXQJ5yzp3KuX+pfyevB477/+ZSzrnHgH8B3pTz3H91zj3kvCMWnyAnm0ekFilu1Z3Pmtkc3ibFGPB7/u0/DnzOjxsZ59yXgUfwrvs45/7TOTfsPF8FvsTZTJCfwbsuf9l/7nPOuSM5X/PDzrnv+LHxn1j6uvZJ4BYz6/D//mb/NvCuu/14myNp59yjzrnZYi9iZvuBi4F/cs49ircw+eaCh33Gf40Y8Bkg5pz7aM7PA9mYcyPe5tf7nHMJ59xX8Bb6blviPRTzPufctHPuWeB/lnn/y0nixe0e59yUHz9y/a7/s8tXgf8EfsTMDO9nkV/xfzaZA/4PcGvB697pnEs65z4HzONtIIo0NMWuDfEPwA+bn6WMt/nyD0s89kfwFsYmnXOjwF/k3Hcd3ibVnf51eARvwSl7LfsxvOvYmHPueeD3yZ8TLeeca2fhA5xzE865f3HORfzr6P/GW0jE/1n/H/FiKGZ2Jd6i2H/4T1/p2p31SfLjSmH8uwC42L9Wf805b/WqiB/Em29+yR9DCG+TLdeH/XienWMNO+f+y597/DNn49/3AUedcx/z5y2fAo5QcPJrBb/vnIs65x4HHufsfHQ1MsBVZtbunDvlzxWzxoA/9z+XfwSeBr7PvBMFrwXe5ZxbcM6NAX9Gfvwrx5xQakBDLgzi7U68ZqUH+X4H74fea/D+kddsU4cadibnz1EA51zhbbmF2Uezf3DOzePtEF1Y7H68Scm7/bTvafOOCW3Hy9QbAt6Ft1syZmb3mH8cFm+CdSlwxE/Zfj3nuhDI/pCf9QxelkbW6Zw/R4A28wr9Lve1C30S+EHz0vF/EHjMOffMKsaJ/8PAD+MtcuGcux8vM7Nwklb4uS/1fbjQf6/4rzePl9WS+96Xs/i5OOci/h9XVXzfnxj+FV526Rkzu9vMenIestS/k4uBGwr+TfwYcH6x8eF93xq2MYA0jI+guFVPvt85142XLXEZkD3WezHeBC73+rQf7wdlzOy1ZvaAf4xpGm/BMPvc7XiLb0sp6brmx6engDf4i4O3cHZi9DG8o8/3mHdU7I/NLLzE13sr3ubSuP/3T1JwnIrVxZxR51wm5/7CeLuSclzXfwjvM3/GvBIVL825b8o5t1AwvgvxMmc6gEdzvqdf8G/PmnD5tb4Ud6RZfATFropyzh3Ey5J+o5ntxlvg++QSD7+Q/HnUMzl/vhi4sCA+vYezizgXFjw+ew1cyVLXzjxm1mFmd5nZM2Y2C9wHbLaz5Zb+AXizvxnzFrx/K3H/vuWu3bm+ArSb2Q3mlSC6Gm/TCuD/4mX5fck/Uvtby7ynt/pfP+WP4V9ZX/zL/Vxhg+Of//35UeDngVPmlVu6LOchzxUskma/hxfjZRGeyvk3cxde5uA5Y1vrnFBqQ0MuDDrn7sNbRFhkXq21L5jZo+bVFMj+Z3B4Ry/BSwU+uYFDbVaL2YHmdXLsI/9zz70wjeLtfG3O+dXh77bgnPukcy6b1eCA9/u3H3XO3YZ34Xo/8Gkz6ywYx0mgz8/iy9oBPFfKm1jqaxd53LfxLrCvJX/nqtRxAvwA3r/TvzavZuFpvIDyE6WMtYiT/rgB8L9mP957zwb3jpzH5y66rWSp3bdzH+jcXzjnXoJ39PlS4Ndz7l7q38ko8NWCfxNdzrm3r2KMIjVFcas++dkRHwH+xL9pFPhYwfWp0zn3Pn9z6F/8x57nnNuMV7vIcp67p0xDy2aqvxH4tr9YiJ8N8PvOuSuAvXgZ2OfEEX8z6keAl+fEnF8BXmRma8lUOAlst/x6TrnxdoGNiTkPO+feiBdzP4uXeZnVWxB/d/jjHseb5F2Z8z3d5LzmM2Udn0i9UezaMB/Fu1a/BW/D5swSjztFzs/PeNexrFG8U1658anbOZfN3MybG3D2GriSpa6dhd6Nl0l9g3OuB69cEPgx0HmnphJ4WfRvxtvIwr9vuWs3OY/L+Pfd5r/Gf2QTQJxzc865dzvnduNl6/2qFa8Pvw2v3MWP58S/NwGvsyVq+66g8HOF6sS/Lzrnvgdvo/IIXrZo1kX+gmzu+LJzrjgwkPNvpsc5d2W5xyfV15ALg0u4G/hlfxHi1zi7S/VevP/4J/B+QP/l6gyvqbzOzPab1wjjD4AHnZfuXszfAD/v7/yYmXWa2feZWbeZvcDMXulPtmJ4P7inAczsx81six8gpv3XSue+sP81DwN/ZF5B9hfiZfB9YqU3sNzXXsIngXfgBcF/znmdFcfpeyte3Yzvwtv9uhrYB1xtZt+10niXGM9PmdnV/nv4P3jfh+POOz7wHN7/i6CZ/TSrm6yewatbsiwzu87/vobxgmKM/Pe+1L+T/wAuNbO3mFnY/3WdeUXoyzY+kRqguFUf/hz4HjO7Gvg4Xqbeq/3rZ5t5xdm34dV0asXL/EiZV6D7e3Ne5+/wrsuvMrOAmV1UsKO/Gvf4r/12cjajzOwVZvZdfobGLN7RqmIx5/v926/gbMy5HK921Vo2pB7Eu87/hn/NvhlvYnaPf/838DLrO8xsEC8Wl+oMsM1ymmsVY2YtZvZjZrbJOZfEe/+F7/33/ce9DG/R9J/9+Pw3wJ+ZX77D/968ehXjU8yRZqLYVX4fxatf93MsfYwYvEWx3zav0cc28j/jh4BZ85ontvsx6io723H3U8DvmNewYwCvFuHHSxzfOdfOIo/pxpsvTZtZH2dLcBS+z78CUn6mZKnX7lyfxMuO+zHy49/rzWzQXwDLvkax13kLXr3AF3A2/l0KnGB15S+yPoc3b3mzec3AfhQvtmaPSX8DuNWPjdeSXxppJWeAnbZ8ExXM7Dwzu8VfwI3jlbvIfe9bgXf4Y/hhvHj/OeeVePoS8P+ZWY//s8keM3v5Ksan+FcnmmJh0Lxso73AP5vZN/BSYC/w774N+IhzbhteivLHVvrPJev2SbxgMIlXtLxo9yoA59wjeEHwr/AKtQ7hFToFb4L1Przd/NN4F7X3+Pe9BnjSzObxGlfc6rwaSIVuw6thcRIv1fz3nFcTaiXLfe1iPoV35OwrOceyShqnmV0EvAqv9sPpnF+P4h1nKkxtX5Fz7r+B38XLXjmFt/CXWy/i5/Cy9ybwsvkOr+LlPwC8ybzuVH+xzON68CZbU3gZlROczbqBJf6d+Dt/3+uP9yTe5/9+vO9JKd4L/IN5KfHn1EARqQWKW/XD30z5KF6NpVG8LL334C0AjuJdSwP+tesdeBO3KbxshntzXuchvKZKf4ZX+PurnJtlUOqYTuE1t9qLV7cp63zg03iToqf8r1Fs4vdWvPpJz+bGHbxY/GOW07W+xPEk8I40vxYvbv418BPubA3FP8PLFDmDN+ldcYMux1eAJ4HTZja+wmPfAhw37xjbz+PXs/Kdxvu+nPS//s/njO838X7+eMB/7n9Reg3Bv8OrjTVtfodNkUal2FUZzrnjeD+Ld5ITN4r4fbyfqY/hLejkZt2l8TZkrvbvH8errb7Jf8gf4tXEfQKvqdZj/m0rWe7amevP8RpojOM1OflCkcd8DLgqd9y+5a7deZxz2Y2oC/Fq/2VdgnftnseLj3/tnDtQ5CXe6t93uiD+fYi1zbkm8BZL34031/kN4PU588HfxZuHTeF9/5Y6Jl5MdgF2wsyWqrsI3prPu/G+R5N4tR1/Ief+B/E+n3G82o9v8scN3mZgC16DlSm8nyEuoDSlzgmlBmQ7xjQc85oo/Idz7irz6pY97Zw75x+xmT2J19lu1P/7CF5n2LENHXCTMLOP4HXH+p1qj0Vql/6dSDNS3BKpDj+D8eP+goWIrIJiV/Mq97XTvDIWY3hdh4+W4zVleWb2k3idg/dXeyxSXU2xS+O8jnvH/NRYzJOtkfMsXjYW/lHENrxdfhERkapQ3BIRkXqj2CXr9HbgYS0Kimy8hlwYNLNP4aUIv8DMTpjZz+AdQ/wZM3sc78jJG/2Hvxv4Of/2TwE/6Ro1jVJkg5nZy8xsvtivao9NpJYobomUh5k9uUTcWbJsiYisjWJX4zOz9yxxTf38ys9e1dc5DrwT79+JrMFScy7zaj+KLKthjxKLiIiIiIiIiIjI0hoyY1BERERERERERESWp4VBERERERERERGRJhSq9gDKaWBgwO3cubPawxARkRyPPvrouHNuS7XHUasUu0REaovi1soUu0REast6YldDLQzu3LmTRx55pNrDEBGRHGb2TLXHUMsUu0REaovi1soUu0REast6YpeOEouIiIiIiIiIiDQhLQyKiIiIiIiIiIg0IS0MioiIiIiIiIiINCEtDIqIiIiIiIiIiDQhLQyKiIiIiIiIiIg0IS0MioiIiIiIiIiINCEtDIqIiIiIiIiIiDShULUHICIitefAkTHuum+E0akI23s7uP2m3dx82dZqD0tERGRJil0iIlJvaiF2KWNQRETyHDgyxh33PsnYXIzN7WHG5mLcce+THDgyVu2hiYiIFKXYJSIi9aZWYpcWBkVEJM9d940QDhodLSHMvN/DQeOu+0aqPTQREZGiFLtERKTe1Ers0sKgiIjkGZ2K0B4O5t3WHg5yYipSpRGJiIgsT7FLRETqTa3ELi0MiohInu29HUST6bzbosk023o7qjQiERGR5Sl2iYhIvamV2KWFQRERyXP7TbtJph2RRArnvN+TacftN+2u9tBERESKUuwSEZF6Uyuxq6ILg2a23cz+x8yeMrMnzeydRR5zs5nNmNk3/F935Nz3GjN72syGzOy3KjlWERHx3HzZVu685Uq2drcxE02ytbuNO2+5smk6Oyp2iYjUn2aOXYpbIiL1qVZiV6jCr58C3u2ce8zMuoFHzezLzrlvFzzua8651+feYGZB4IPA9wAngIfN7N4izxURkTK7+bKtTTGZWoJil4hIHWri2KW4JSJSp2ohdlU0Y9A5d8o595j/5zngKeCiEp9+PTDknBtxziWAe4A3VmakIiIiHsUuERGpJ4pbIiKyHhtWY9DMdgLXAA8WufulZva4mX3ezK70b7sIGM15zAlKD3AiIiLrptglIiL1RHFLRERWq9JHiQEwsy7gX4B3OedmC+5+DLjYOTdvZq8DPgtcAliRl3JFXvttwNsAduzYUc5hi4hIE1PsEhGRelLJuOW/vmKXiEgDqnjGoJmF8QLUJ5xz/1p4v3Nu1jk37//5c0DYzAbwdqu25zx0G3CyyPPvds5d65y7dsuWLRV5DyIi0lwUu0REpJ5UOm75z1PsEhFpQJXuSmzA3wFPOef+dInHnO8/DjO73h/TBPAwcImZ7TKzFuBW4N5KjldERESxS0RE6oniloiIrEeljxLvA94CfNPMvuHf9h5gB4Bz7kPAm4C3m1kKiAK3OucckDKzXwK+CASBv3fOPVnh8YqIiCh2iYhIPVHcEhGRNTMvHjSGa6+91j3yyCPVHoaIiOQws0edc9dWexy1SrFLRKS2KG6tTLFLRKS2rCd2bVhXYhEREREREREREakdWhgUERERERERERFpQloYFBERERERERERaUJaGBQREREREREREWlCWhgUERERERERERFpQloYFBERERERERERaUJaGBQREREREREREWlCWhgUERERERERERFpQloYFBERERERERERaUJaGBQREREREREREWlCWhgUERERERERERFpQloYFBERERERERERaUJaGBQREREREREREWlCWhgUERERERERERFpQloYFBERERERERERaUJaGBQREREREREREWlCWhgUERERERERERFpQloYFBERERERERERaUJaGBQREREREREREWlCWhgUERERERERERFpQloYFBERERERERERaUJaGBQREREREREREWlCWhgUERERERERERFpQloYFBERERERERERaUJaGBQREREREREREWlCFV0YNLPtZvY/ZvaUmT1pZu8s8pgfM7Mn/F+HzexFOfcdN7Nvmtk3zOyRSo5VREQEFLtERKS+KG6JiMh6hCr8+ing3c65x8ysG3jUzL7snPt2zmOOAS93zk2Z2WuBu4Ebcu5/hXNuvMLjFBERyVLsEhGReqK4JSIia1bRhUHn3CnglP/nOTN7CrgI+HbOYw7nPOUBYFslxyQiIrIcxS4REaknilsiIrIeG1Zj0Mx2AtcADy7zsJ8BPp/zdwd8ycweNbO3VXB4IiIi51DsEhGReqK4JSIiq1Xpo8QAmFkX8C/Au5xzs0s85hV4QWp/zs37nHMnzWwr8GUzO+Kcu6/geW8D3gawY8eOioxfRESaj2KXiIjUk0rGLf+5il0iIg2o4hmDZhbGC1CfcM796xKPeSHwt8AbnXMT2dudcyf938eAzwDXFz7XOXe3c+5a59y1W7ZsqcRbEBGRJqPYJSIi9aTSccu/X7FLRKQBVborsQF/BzzlnPvTJR6zA/hX4C3Oue/k3N7pF8/FzDqB7wW+VcnxioiIKHaJiEg9UdwSEZH1qPRR4n3AW4Bvmtk3/NveA+wAcM59CLgD6Af+2otppJxz1wLnAZ/xbwsBn3TOfaHC4xUREVHsEhGReqK4JSIia1bprsQHAVvhMT8L/GyR20eAF1VoaCIiIkUpdomISD1R3BIRkfXYsK7EIiIiIiIiIiIiUju0MCgiIiIiIiIiItKEtDAoIiIiIiIiIiLShCrdfEREpOoOHBnjrvtGGJ2KsL23g9tv2s3Nl22t9rBERETKTjFPRETqjWJXdSljUEQa2oEjY9xx75OMzcXY3B5mbC7GHfc+yYEjY9UemoiISFkp5omISL1R7Ko+LQyKSEO7674RwkGjoyWEmfd7OGjcdd9ItYcmIiJSVop5IiJSbxS7qk8LgyLS0EanIrSHg3m3tYeDnJiKVGlEIiIilaGYJyIi9Uaxq/q0MCgiDW17bwfRZDrvtmgyzbbejiqNSEREpDIU80REpN4odlWfFgZFpKHdftNukmlHJJHCOe/3ZNpx+027qz00ERGRslLMExGReqPYVX1aGBSRhnbzZVu585Yr2drdxkw0ydbuNu685Up1uRIRkYajmCciIvVGsav6QtUegIhIpd182VYFFhERaQqKeSIiUm8Uu6pLC4MiIiIiUpMOHBnjrvtGGJ2KsL23g9tv2q2Jg4iI1B3FM6llWhgUaRK1EoxqZRwiIlLbDhwZ4457nyQcNDa3hxmbi3HHvU9yJ9RE3FA8ExGRUtRiPFMMk1yqMSjSBLLBaGwulheMDhwZa8pxiIhI7bvrvhHCQaOjJYSZ93s4aNx130i1h6Z4JiIiJau1eKYYJoW0MCjSBGolGNXKOEREpPaNTkVoDwfzbmsPBzkxFanSiM5SPBMRkVLVWjxTDJNCWhgUaQK1EoxqZRwiIlL7tvd2EE2m826LJtNs6+2o0ojOUjwTEZFS1Vo8UwyTQloYFGkCtRKMamUcIiJS+26/aTfJtCOSSOGc93sy7bj9pt3VHprimYiIlKzW4plimBTSwqBIE6iVYFQr4xARkdp382VbufOWK9na3cZMNMnW7jbuvOXKmiiOrngmIiKlqrV4phgmhdSVWKQJ3HzZVu7EqydxYirCtip1nqqVcYiISH24+bKtq4oRG9VlUfFMRERWY7l4ttEdghXDpJAWBkWaQC21o1/tJE9ERKQU2S6L4aDldVm8Eyq2OKh4JiIi67HRsStLMUxy6SixSINTO3oREWkG6rIoIiL1RrFLaoEWBkUanIKNiIg0A3VZFBGReqPYJbVAR4lFGlT2+PBDxydpCwUY6Gqlpz0MKNiIiEj9Wqo8xvbeDsbmYnS0nP3xVl0WRUSkFih2SS1TxqBIA8o9PtwaNBLpDCdnosxGk4CCjYiI1KflymOoy6KIiNQixS6pdVoYFGlAuceHt/a0YRgA4/NxBRsREalby5XHuPmyrdx5y5Vs7W5jJppka3cbd95ypYqri4hIVSl2Sa3TUWKRBjQ6FWGzf2y4uy3MhZthbDZGLJVha3eb2tGLLMPMtgMfBc4HMsDdzrkPFDzGgA8ArwMiwE865x7z73uNf18Q+Fvn3Ps2cPgiDS03vmXllsdQl0VpRopbIrVNsUtqXUUzBs1su5n9j5k9ZWZPmtk7izzGzOwvzGzIzJ4wsxfn3PcaM3vav++3KjlWkUayvbeDaDK9+PfutjAXbG7n+p19fOptNyrwiCwvBbzbOXc5cCPwi2Z2RcFjXgtc4v96G/D/AMwsCHzQv/8K4LYizxWRNSqMb6DyGCIobonUNMUuqXWVPkqsICVSBapVIbJ2zrlT2SwK59wc8BRwUcHD3gh81HkeADab2QXA9cCQc27EOZcA7vEfKyJloPgmci7FLZHaptglta6iC4MKUiLVoVoVIuVhZjuBa4AHC+66CBjN+fsJ/7albheRMlB8E1me4pZI7VHsklq3YTUGyxSkbqjgEEUaimpViKyPmXUB/wK8yzk3W3h3kae4ZW4vfO234WXJs2PHjnWOVKS5KL6JFFfJuOW/vmKXyBopdkkt25CuxJWeXJnZI2b2yPPPP7/+wYqISNMzszBe3PqEc+5fizzkBLA95+/bgJPL3J7HOXe3c+5a59y1W7ZsKd/ARUSkKVU6boFil4hIo6r4wqAmVyIiUk/8zo1/BzzlnPvTJR52L/ATfgOtG4EZ59wp4GHgEjPbZWYtwK3+Y0VERCpCcUtERNajokeJVxGkfsnM7sE7KjzjnDtlZs/jByngObwg9eZKjldERATYB7wF+KaZfcO/7T3ADgDn3IeAzwGvA4aACPBT/n0pM/sl4ItAEPh759yTGzp6ERFpNopbIiKyZpWuMaggJSIidcU5d5Di5SxyH+OAX1zivs/hxTYRWcKBI2Pcdd8Io1MRtvd2cPtNu1V7SWSNFLdENoZilzSqii4MKkiJbAwFKRERqRcHjoxxx71PEg4am9vDjM3FuOPeJ7kTFLtERKQmKXZJI9uQ5iMiUjnZIDU2F8sLUgeOjFV7aCIiIue4674RwkGjoyWEmfd7OGjcdd9ItYcmIiJSlGKXNDItDIrUOQUpERGpJ6NTEdrDwbzb2sNBTkxFqjQiERGR5Sl2SSPTwqBInVOQkkpJpjMkUplqD0NEGsz23g6iyXTebdFkmm29HVUakYiIyPIUu6SRaWFQpM4pSEm5JVIZxuZinJiKkkhrYVBEyuv2m3aTTDsiiRTOeb8n047bb9pd7aFJA8hkHF4JcxGR8lHskkamhUGROqcgJeUST6UZm41xYirCfCyliZWIVMTNl23lzluuZGt3GzPRJFu727jzlitVvF3WJZXOMDEf59nJCBmFLxEpM8UuaWQV7UosIpV382VbuROv1uCJqQjb1JVYVimWTDMdSRJJpKo9FBGpIweOjHHXfSOMTkXYvsrYc/NlWxWnpCwSqQzT0QQL8bQ2tERkRYpdIucqaWHQzD7mnHvLSreJyMrWE4yWoiAlaxFNpJmOJogm0is/uA4pdolUzoEjY9xx75OEg8bm9jBjczHuuPdJ7gTFI9kQjbqppdglUjmKXVJrnHPMRlNEk2nO39RWtXGUepT4yty/mFkQeEn5hyPS2LLBaGwulheMDhwZq/bQpIksxFM8Nx3l1Ey0YRcFfYpdIhVy130jhINGR0sIM+/3cNC4676Rag9NGty8H8NOTkcbblHQp9glUiGKXVIrnHPMRJOMTkaZWIiTylS3rvuyC4Nm9ttmNge80Mxm/V9zwBjwbxsyQpEGomAk1TQfT3FiKsKZ2RjxZOMuCCp2iVTe6FSE9nAw77b2cJATU5EqjUgamXOO2ViS0ckIYw0awxS7RCpPsUuqLW9BcL76C4JZyx4lds79EfBHZvZHzrnf3qAxiTSs0akIm9vDebcpGEklOeeYi6eYiSRJNkmHYcUukcrb3tvB2FyMjpazP0pGk2k6W4LcdvcDZS2XIc0rnXHMRpPMxpKkG7yjiGKXSOUtFbu29XYAlSn5JALZDS5vTlYri4G5Sqox6Jz7bTO7CLg49znOufsqNTCRRrRSMAIFJCmPWg8+G0GxS6Rybr9pN3fc+ySRRIr2cJBoMs1MNIkByYyry9pNir+1I5nOMBNNMh9LkWmyhiKKXSKVUyx2JdOO22/arfqDUhHZGoIz0dqek5XafOR9wK3At4Fs7r4DFKBEVmG5YAS1WxBXk6X6kcl4x61moo2fXbESxS6Ryrn5sq3ciVci48RUhG29HbQEAyTSmcXNr46WEJFEirvuG9nwmLHauFWr8bfZxFNpZiJJFhLN22FYsUukcorFrmx8uO3uBxZLPsHGx7D1zrc0X6st9TYnK2lhEPgB4AXOuXglByPS6JYLRpBfgxCqO6nK+ov/+g4fPDBMOuNoDQVIpTOaLNWgdMarVzEbTTZddsUyFLtEKujmy7bmxYH97/9KTZTLWMsiXy3G32YSTaSZjiYavSFWqRS7RCqoMHZlVbPk03o3p7S5VTvqdU5W6sLgCBAGFKBE1mmpYAS1V4PwwJExPnhgmIxzhAJGKu2YWEjQ39miyVKNyB63moulmja7YhmKXSIbqJRyGRthLYt8tRZ/m4FzjoVEmulIgkSqdo9XVYFil0gVVDOGrXdzSptb1ZfxFwRn6mxBMKvUhcEI8A0z+29ygpRz7h0VGZVIk6qVSVXWXfeNkMpkCAcDGIYZkIG5WEqTpSqL+fW8FuKpag+llil2iWyglcplbJS1LPLVWvxtZJmMYy6WYjbWPE2xVkmxS6QKqhnD1rs5pc2t6sl2Ga6XI8NLKXVh8F7/l4hUUK1MqrJGpyK0BgOkHd6iIN7v8VRGk6UqmY97xWvjSR23KoFil8gGWqlcxkZZyyJfrcXfRpQ9XjXXBB2G10mxS6QKqhnD1rs5pc2tjddojR5L7Ur8D2bWDuxwzj1d4TGJNK1amVRlbe/tIJ3JMDGfJIPDDNLOEQyYJksbKJNxzMVTzEaVXbEail0iG2+5chkbZS2LfLUWfxtJMp1hOpJkPq6SF6VQ7BKpnmrFsPVuTmlza+M4583LZiKNNS8rtSvxG4A/AVqAXWZ2NXCnc+6WCo5NpCnVwqQqKxtk+rtgJpIkns4QCgT4xZv31MwYG5myK9ZHsUukOS21yAdw290PLNmxsZbibyOIJdPMRr0FQSmdYpdI81nv5pQ2tyqvURcEs0o9Svxe4HrgAIBz7htmtqtCYxKRKipsdf+mF1/E/SOTnAgoyGyUVDrDtBqKlMN7UewSaUqFi3zq2LhxIokU05EkMZW8WKv3otgl0nSW2pwqnJstNRfT5lZlNPqCYFapC4Mp59yMZYuMeTRbFWkwxSZOn37sOe685UoFmg2gBcGyU+wSEUAdGyutWSZOG0SxS0QAbWpVU7PFtVIXBr9lZm8GgmZ2CfAO4HDlhiUi1aCJU3VoQbBiFLtENkipGQ3Voo6NlZHOOOZiSWajqYYovl4jFLtEBNDcrBqabUEwq9SFwV8G/hcQBz4FfBH4g0oNSqQZ1cKkShOnjaUFwYpT7BLZAPWQ0aCOjeWVTGeYiSaZj6XIKH6Vm2KXyAaohbnXSjQ32zjOOWajKWaijdFleLVK7UocAf6Xmb3f+6ubq+ywRJpLrUyqNHHaGFoQ3BiKXSIbo9YyGopN9tSxsTxiyTQz0SQLaihSMYpdIpVXK3OvlWhuVnnpjGM2mmS2yZs9Bkp5kJldZ2bfBJ4Avmlmj5vZSyo7NJHmkTupMvN+DweNu+4bKfvXOnBkjNvufoD97/8Kt939AAeOjC3ed/tNu0mmHZGEt2AVSaQ0cSqjVDrD+Hyc0akos9GkFgUrTLFLZGOMTkVoDwfzbqtWRkN2sjc2F8ub7AHcecuVbO1uYyaaZGt3m+rnrsJ8PMVz01FOTke1KFhhil0ilbeRc69SFZujaW5WOUl/XvbsZISpSKKpFwWh9KPEfwf8gnPuawBmth/4MPDCSg1MpJlsVJr4SrtjanVfGcl0hulIkvm4MgQ32Jpil5n9PfB6YMw5d1WR+38d+DH/ryHgcmCLc27SzI4Dc0Aar4D8tWV6L9LkavnIU7UyGop9JstlL37qbTfWzGdWD5xzzMe9DsPNVGepBmjeJQ2hluNWrR3RXXKOdsuV3HnLlZqblZEy34srdWFwLhucAJxzB81sxbR2Ta6k2mo5IOXaqElVKce91Oq+fOKpNDP+gqBUxZpiF/AR4K+Ajxa70zn3f4H/C2BmbwB+xTk3mfOQVzjnxtc8apECtX7kqZzHdEuN20t9JpFEivN72vIeq3pMq9PsdZZqgOZdUvdqPW7VwhHd3Hg3G03S2RpkU7sXv7SpVX4LcS+uxZLpag+lJpV0lBh4yMzuMrObzezlZvbXwAEze7GZvXiZ530EeM1Sdzrn/q9z7mrn3NXAbwNfLTK5ulrBSdZiqeNEuUdna8Va0sSXOxK8lKWOex0dm1v1a8nSYsk0p2diPDcV1aJgda0pdjnn7gMml7q/wG14xeFFKqYWjzzluvmyrWU5pruauL3UZ5JIZYgW/NCvekylSWccUwsJnp2MMLEQ16Jg9WjeJXWv1uPWRhzRXW6uVhjvIok043MJ5mLJxcdoU2v9nHPMxpKMTkY4MxvTouAySs0YvNr//fcKbt8LOOCVxZ7knLvPzHaW+DU0uZKyqrVi6MtZ7RHete7CFdsdm1iIMxdLnTMRq5UdvXoSSaSYiiSJK+jUiqv931cVu0plZh14k7BfyrnZAV8yMwfc5Zy7ez1fQwRq78hTrsIMvz9441Vrjh2ridtLfSYtQVuc7KnJSGmyHYbVEKtmXO3/rnmX1K1ajltw7tyrsyVISzDA7/zbt9h+3/pPma00VyuMd62hAIl0hufn4nS3eZ+bNrXWLp1xzMWSzESbu6HIapTalfgVlRyEJldSCbUekIodl/rU224s6blrXfQsdtxrciFJb0e4LhZQa9VCPMVUJEEipeyKWlLp2AW8AThUkHGxzzl30sy2Al82syN+BmIeM3sb8DaAHTt2VHiYUu9q4chTMeU+KraauL3UZ3LJeT2LtQZVj2l5sWSa2ajKXdSaWp53KXZJqWo1buXKlk+qxLHnleZqhfFuoKuVkzNRYqk0zjltaq1RdqNrPpYio42uVSm1K/E7zazHPH9rZo+Z2feWcRxLTa5eDLwW+EUzu2mJsb3NzB4xs0eef/75Mg5J6t323o6aPU603mPOa+0AWey4V1drkIGu1lW/lngLgiemvNR0LQrWng2IXbdSkHHhnDvp/z4GfAa4vtgTnXN3O+eudc5du2XLljIOSRpRrXYlLPdRsdXE7eU+k5sv28qn3nYjX/vNV6o2UxGRRIpTM16HYS0K1p5anncpdkmpajVuFVOJY88rzdUK411Pe5j+zhY6W0LrKsnRrGLJNGOzMUYnvXqNWhRcvVJrDP60c24W+F5gK/BTwPvKOA5NrqTsajkgrTcArWfRs3DCdOl5PTW7gFqrtCBYNyoWu8xsE/By4N9ybus0s+7sn/2v+61yfD1pbuWq4Vdua92kWspq4natfia1yjnvWNWJqQinZ2JEEyp5UcNqdt4lUqp6ukaXO5bBynO1YvGuJRTkL269RptaqxBJpDg5rY2ucii1xqD5v78O+LBz7nEzs+WeUKqcydWP59zWCQScc3M5k6s7y/H1pHmstm7fRlrvMedydoAs52s1uvl4imkdGa4na4pdZvYp4GZgwMxO4NV5CgM45z7kP+wHgC855xZynnoe8Bn/S4SATzrnvlCONyJSix3jy31UbLVxuxY/k1qTyTjmYuowXGc075KGUC/X6Eoce15pflXL89Ra55xjLp5iJpIkmVZcK5dSFwYfNbMvAbuA3/YzIlb8LmhyJdVWqwFpvQGonMFEgWll8/EUUwsJBZ/6s6bY5Zy7rYTHfASvA2TubSPAi9Y0UpE6VImNpVqN2/Umlc4wG0vpSFV90rxLZANVKpatNL9SvFudTMbrMDwbTWmjqwKslO5jZhbA65A14pybNrN+4CLn3BP+/Vc6556s6EhLcO2117pHHnmk2sMQWVFukdvcAFSrKfbNSLtRnq09bXS1lrqHVJyZPeqcu7ZMQ1rN11XsEimjYk2zQBtLtSSRyjAdTbAQTzd1h+GL+zsJBtaeZFetuOV/bcUukQ2WjW+KZbUnmc4wG00y1+ANRVpCgXWX8lpP7Cq1K3EGeCzn7xPARM5DPga8eC0DEGlkxSZR2d0hZenVJh278sxEkhwemeCR45P82qtfwJUXbqr2kFZNsUtkZUvFqWKPK9q18ZYr+dTbbqzCyCVXLJlmOpIkklCNpXqn2CWyslJiV6nxDZS9V4viqTQzkSQLiebe6Noo60sDOassdS9EGkE2CB0dm2MulqK3I8xAV+vZSRRng48CUO1IZxyz0SSzsSTpTHMGnzOzMQ4NjXNwaJwnTsyQ/RiuumhTXS4MlkCxS5rakot9cE58ym2aBdDREiKSSHHXfSOKZVW0EE8xHU0ST6qZSCKV4Ruj0xwaHuepk3P85zv30xoKrvzE+qPYJU2tlNi1mvgmtSWS8BI0mq1JViyZ5tj4ArsGOqvy9cu1MNics2iRArlBKBL30p0nFhK0hoL0tIc1iapB8VSamWiyKY9dOec4PhHh4NA4B4+Oc3RsPu/+tlCAl126hRfv6K3SCCuuub7hIjkOHBnjHfd8nUgiTWsowEBX67Jxar1Ns6R8VOrirLlYkgePTXJoaIKHj08SyZlIPjAyycsv3VLF0VWMYpc0tbvuGyGRSjMxnyKRztASDNDdFsqLXdrMqi/OOebj3oJgMzV5nIokeGB4gkPDEzzyzBSXnd/Nvb+0vypjKdfCoEhDWk0KOuQHoWTGEQwYLgPj83F62sOaRNWQZj12lXGOI6fmvMXAoXFOTEXz7u9pC7F3zwD7L+nnJTt62d7fue4agyJSW7KbWAuJFKGAkUo7Ts5414LutlDROFWJro2yOumMYy6WZCbavJntAKdnYxweGufQ8ARPnJjJ+ywMuPLCHr7vhRdy6Xld1RukiFTMd87MMhtLEcAImhfDJhYSpNKzi4/RZlZ9aMaGIiemIhwamuDw8Djfem42b6fn2ydnmVxI0NfZsuHjKtdsL1Gm1xGpGWtJQc8NQi3BAKmMwwwS/o6+JlHVF0ummYokmio9PZn2j1cNTXBoaJyJhfxL9tbuVvYPDrD/kgG+66JN6yrYXmcUu6QpZTex2kJB4qkMGZch47wYtrW7lV0D5y6oVKJro5Qmlc4w0wSF15finOPo2DyHhyc4PDTB0PP52e0toQAv2dHLvsF+btzdT19ny7qbj9Q4xS5pasm0dx0M+P/HzSCVyjAVTbH//V9he28HXS1enNJmVm1qpriWcY6nT89xyN/QemYif3G6PRzk+l19vPzSAX7oxdvZ1BFe4pUqq6SFQTP7b+fcq5a6zTmnqtPScApT0NMZx9hsjNs//igv3tFbNHswN6NiS3crJ6djZHC0BANEEilNoqqo2RYEo8k0Dx+b5ODQOPePTLAQz3/fO/s72H/JAPsHB7hkaxdmjTeBUuwSKS67idXVGmIhEV8sWJZx8Px8gjdf33fOc9Q0a+M1c6mLZDrD46PTHBqe4P7hCcbm4nn3b2oPc+PuPvbtGeAlO3tpDzdOLUHFLpHltYQCRBNpMs5LwEilHWkHQdxiMsdsNLmYiaXNrNqRTGeYjiSZj6caOq7l1rw9PDzBxHz+fk5fZwv79vSzd7Cfa7b30hIK0BIKVG1REFZYGDSzNqADGDCzXs4Wu+0BLqzw2ESqKjf7by6W5OR0DHA4WDJ7MDejoqs1RH9XmMmFJO3hAFu72zSJqoJoIs10tDkWBGeiSe4fnuDg0DiPPDN1To2OKy7oXswMbOQdU8UukeVlN7Hm4ynCQSOdcTgHAYOt3S3cPzLJO4o8T02zNkYzxa1c8/EUDx2b5NDQOA8dm2Sh4P1ftLmdvXv62TfYz5UXNl52u2KXSGku2drN8Yl5ZqNejcGMcwQD0BYKYnY2qaMlGGBzR4s2s2pAtsPwfLxxSzgtV/MW4OK+DvYN9rNvcIAXnN9NoMaSMlbKGLwdeBdeMHqUswFqFvhg5YYlUn252X/Pz8UxA5wtZhEWK2BbmFGxs7+LP/oBBaFqiCa8DMFYg3dqHJuNLdYLzO0kDBAMGNds38z+SwbYt6ef/q7W6g10Yyl2iSwju4kVS6UJBYxAIEAGx4Wb2pesMSiVly283kwdhsdmYxz2C68/PjpNqqB24uUXdLNvzwB7B/u5uK+jIbPbcyh2iZQgG8PO3xSiPRzkqdOzBMwYyPk5tz0cZCaa5PPvuqmKI5VGr+l+Zja2WC/w8SVq3u4d9OZh2/tqOylj2YVB59wHgA+Y2S875/5yg8YkUhNys//iqTQBMxww0NUGLF3AVhkV1RVJpJiKNO7EyjnHM5MRDh71FgO/c+bcTsLX7+pj/yUD3Lirn6625mscotglsrzsJtbZrsTGQFfbYlfiRs4orjXZTozTTdJh2DnHyPMLHBoe59DQBEfH8mNYOGi82K8X+NLdTbWhpdglUqLCRIzOlhAdLUF6cpqNqJ5gdTXqRpdzjuHnFxbrBQ6NLV3z9qV7+unt2PgmImtV0ozROfeXZrYX2Jn7HOfcRys0LpGqyw86UczgvO62xaCjgFNbGjUAwdmitV87Wlon4dYGqrW0HopdIku7+bKt/MWt1yw22WoPB1ULdwM555iNpZiJJBu+E2MqneGJ52Y4PDTB4eEJTs/G8u7vaQtxw+5+9u3p57qdfbS3NHcMU+wSWVluIka2YaSaY1VXJuOYi6WYjTXWRlduDDs0PM6Z2fyatz1tIV66p5+9ewa4to5r3pbafORjwB7gG0B21u0ABShpaNmgkw04oaDhnFPAqRHpjGOuQVvcZwuvH/SDUGHR2ibuJFwyxS6R5amhyMZLZxyz0SSzsWTekaNGE0mkePj4FIeGxnnw2CRzsfxjZBdsavPrBSqGFVLsElkdxbLqSqYzzDZYh+FoIs1DxyeXjGEXbm5bLHNxVYPUvC31jNm1wBWukVvHiCxDAae2xJJpZmON16lxpU7CF/d3sH9wgJdd0ridhMtMsUtkBSp/sTGS6Qwz0STzDTRxKjQ+H+fw8ASHh8b5+ug0yXT++3zBed3sHfQyA3cNdCqGLU2xS2SVFMs2XiyZZiaaZKFBGopMzMe5f2SCQ0MTPPbsVNEYlm0esrO/8Wrelrow+C3gfOBUBcciUtMUcKqvEY8Lq5NwRSl2iUhVxZJpZqON2YnROcfxichiraWnT8/l3R8KGNfs2MzePQPs3dPPlu7mqRe4TopdIlKTnHMsJNINMR9zzvHsZIRD/umsp06dG8Ou3r6ZfYPeMeFGj2GlLgwOAN82s4eAxUPVzrlbKjIqERFfI9ar8DpYLd1J+Ortm9k/OMC+wf68DmuyaopdIlIV0USa6WiCaKK+J06F0hnHt56bWWwecmomv15gZ2uQG3f1s2/QqxfY2dp8DbDKQLFLRGpKdj42E63vurjpjOOpU7OLG1qFdds7W4Jcv6uPfYMDXL+rj64mimGlvtP3VnIQIiKFUukMs7EUcw1Qh2nFTsJhv5PwYPN2Eq6Q91Z7ACLSXCKJFFOR+s+kyBVNpnnk+BSHh8e5f3iC2YJaS1u7W9k3OMC+Pf28cNsmQsFAlUbaMN5b7QGIiEBjlMGIJ9M8+uzUYgOs6Wgy7/6BrpbFeoFXb99MuEljWKldib9a6YGIiADEU9l6FfVdPzDjHEdOzXFwSJ2Eq0WxS0Q2SiSRYnIhcU45iHo1uZDg/mHveNVjz06f874Gt3Sxd7Cf/YMD7NmieoHlpNglItVW7/UDZ6JJHvDrBT5yfJJYQQzbPdC5WC9Qdds9pXYlnsPrhgXQAoSBBedcT6UGJiLNpRGOXaXSGb6xUifhSwbYry6MG0KxS0QqrZEyBJ+diCweEX7q1Cy5W3PBgHH1tk3sHfTqBZ7X01a1cTY6xS4RqQbn3GI993rc5Do5HeWQ3wDrm8/ll2oKGLxw2yb27vFKNV2wqb16A61RpWYMduf+3cy+H7i+EgMSkeYyH08xHanfLItoMs3Dxyc5eHScB0Ymzykwv7O/Y3ExUDtSG0uxS0Qqpd5jF5Rea2nvngFu2NWnMhcbRLFLRDZSOuOYiyWZjabqqn6gc47vnJlf3NA6Nr6Qd39bKMC1O/vYN9jPjbv72dQertJI68OaIrxz7rNm9lvlHoyINAfnHHPxFDOR+mwoMhNJcv+IOgnXG8UuEVmPbDbFdJ3GLvCOhz36zBSHhye4X7WW6oJil4hUQjyVZjaaYj6eqpvyTUn/dNZh/3TWeMHprN6OMC/d3c/eQZVqWq1SjxL/YM5fA8C1QH386xGRmpHJOGbrcEcK1Em4Hil2SaM5cGSMu+4bYXQqwvbeDm6/aTc3X7a12sNqePW+mTUdydYLnODRZ6aIq9ZSTVPskkak+FUbnHMsJNLMRpPE6qQExnw8xUPHJjk0NM5DxyZZKCg7ta23nX17vBh2+QU9KtW0RqVmDL4h588p4DjwxrKPRqTCFJSqox47WjnnOD4RWVwMPKeTcMjvJHyJOgnXMMUuaRgHjoxxx71PEg4am9vDjM3FuOPeJ7kTFMcqxDnHbMxbEKy3zawTUxEODU1weHicbz2XXy9QtZZqnmKXNBTFr+pLZxyz0SRzsfpIznh+Ls5h/4jwN0anSeVkZBhw+QXd7BscYN+eAXb063RWOZRaY/CnKj0QkUpTUNp4sWSa6UiSSKI+OlqV0kn4pXu8LozXXqz09Fqn2CWN5K77RggHjY4W70e3jpYQkUSKu+4bUQwrs0zGMRfzCrDXwwQKzsavQ8PjHB6a4JnJSN79beEA1+/sY+/gADfu6qNHtZZqlmKXNBrFr+pJpPzkjBo/Luyc49j4gt88ZIKnz8zl3R8OGi+5uJe9e7wGWH2dLVUaaeMq9SjxNuAvgX14qewHgXc6505UcGwiZaWgtHEW4immo/XRpbGkTsL+EeEXbtus9PQ6otgljWR0KsLmgsWc9nCQE1ORJZ4hq5XNqJiNJUlnancClZVIZXjs2SkODU1w/8gEkwv58au/s4W9e7xaS9ds76UlpHqB9UCxSxqN4tfGiyXTzESTLMRrNzkjnXF867kZDg6Nc3h4glMzsbz7u9tC3LCrj/2DA1y3s4/2FiVkVFKpZ98+DHwS+GH/7z/u3/Y9lRiUSCUoKFVWPdVgUifhpqHYJQ1je28HY3Oxxc0t8K5lanC0ftFEmvl4ioV47Ze7mIkmeXDEqxf48PFJYsn8eLuzv4N9g15GxQvO7yag+FWPFLukoSh+bZxIwst2jyZqMzkjmkzzyPEpDg2N88DIBLOx/DnYeT2t7PPLXHzXRZsIqQHWhil1YXCLc+7DOX//iJm9qwLjEakYBaXKqJcjVzPRJPcPL9dJuIf9g/3qJNxY1hS7zOzvgdcDY865q4rcfzPwb8Ax/6Z/dc7d6d/3GuADQBD4W+fc+9bzBqTxlVr79vabdnPHvU8SSaRoDweJJtMk047bb9pdhVHXv0zGMVMn9Zaem45yeGicQ8MTfOu5/OZXAYOrLtrEvj397B0c4KLNqhfYADTvkpq3mrrtil+V5ZxjPu7NxQrnN7VgKtsAa2iCR589dw42uLWLfX6ppt1bOpWQUSWlLgyOm9mPA5/y/34bMFGZIYmsjiZV1VEPR67GZmMcHJrwOwlPn9NJ+Jrtm9l/yQD79vTTr07CjWitsesjwF8BH13mMV9zzr0+9wYzCwIfxMvqOAE8bGb3Oue+vdqBS3NYTe3bmy/byp14ZTFOTEXYpgZaa5LJOGZjSWaitRu7Ms7xnTNzHBqa4NDQOMcnCuoFhgK8ZGcv+we95lebOlQvsMGsKXZpU0s2ymrrtit+VUYtJ2eMTkb8eoHjPHkyvwFWMGBcvW0Te/3s9vN62qo2Tjmr1IXBn8abJP0ZXq2Lw/5ty1KAkkrTpGrjpfwOw3M12GHYOcczkxEOHlUnYQHWGLucc/eZ2c41fL3rgSHn3AiAmd2D10lSC4NS1Gpr39582VbFrDWq9QXBRMqrd3to2Ku1VFjvtrcjzEt3e/UCX7JDza8a3JpiF9rUkg2ylrrtil/lk/Yz3mejyZqZi+U2wDo0NMGzBQ2w2sNBbtjVx77Bfq7f1Ud3mza0ak2pXYmfBW5Zw+t/BAUoqSBNqjZOrXa1yjjH06fn+NpRdRKWfOuIXaV4qZk9DpwEfs059yRwETCa85gTwA0V+vpSw0rNZFft28qrhQnUQyOT3PPwKKdmo1zQ086t123n+t19zMWSfPLBZ/nik2eYiSYpHN323nb2+c2vLr+gR/UCm8RaY5c2tWSjKHZVRzyVZjaaqpm5WLYB1me/fpLHnp0iVbDplm2AtW9wgKu3b1YDrBpXalfiXcAvAztzn+OcWzZoKUBJpSkwVV404XW1iiRqp6tVMp3h8RU6CQ9u7eLMTIy5eJIzM3HCgYAWBZvMWmNXCR4DLnbOzZvZ64DPApcAxWbtRX9yM7O3AW8D2LFjxzqHI7VkNZnsqn1bOemMYzqSqEp2e+5CYGdLiKlIgq7WED1tIc7MRvk/n3+KLd2tHBtfoDB5MRw0vvuy8/jR67ezo0//DppRBWMXaFNLSrDS5pZi18ZxzrGQSDMXq25DkWxce24mQnsoRE97iKHn589pgBUKGK3hAD95405+4CUXaUOrjpR6ju6zwN8B/w6U+wC7AlQTW03h2mIUmCoj22F4doOL2C6VVQF+J+FjkxwcGuf+kQkW4vnBMduJ8WWXDDA1n+Av/meIUMDY1B5mYiHOB75ylHdyyeLrSVP4LBWIXc652Zw/f87M/trMBvBi1fach27Di23FXuNu4G6Aa6+9tvrbvlI2q8lkV+3b8suWu5iNVSej4qGRST7wlaOEAkZPW4jj4wukM96GVjLtiPsxNduJ0YCOliBdrSE6W4Mk045TMzEtCja3z1KZeZc2tWRFpWxuKXZVXjKdYS6WYn4DG2QtNQ/74rdO8/++Okw8lfFjWAKmzj6vJRSgpy1EV0uIllCAaDLNoeEJfujabRsybimPUhcGY865v6jA11eAamKrLVxbjAJTeaXSGWZjKeY2qKHIclkVEwtx/uy/vsPLLtnCyZnoEp2Eu9k/OHBOJ+FfPfA4oYDR7mcIZv9t3PPwqBYGm0tFYpeZnQ+ccc45M7seCOAVhp8GLvGzPZ4DbgXeXO6vL7VtNZnsqn1bPsl0hulI9ctd3PPwKEHzylyMzSXIJlPM52xmBc2bSLWEAgx0tRC0s8erggHH6dlo4ctKc6lI7NKmlpSilM0txa7KcM4RSaSZi6U2/KRW7qZWd2uQUzNR/vBz36a7LcypmVjeYw1oDQfY0tVKLJlmc0cYy1m+aQsHFMfqUKkLgx8ws98DvgTEszc65x5bzxdXgGpuaylcW0iBqTziKe+48EI8vWETqsKsimcmIqQzjnAwQCyZZj6eJppM8+nHTiw+Jxgwrt6+mf1+zaWBJToJn5qN0lPQWERBqimtKXaZ2aeAm4EBMzsB/B4Q9p/7IeBNwNvNLAVEgVud9x8nZWa/BHwRr3HW3/tZ8NJEVpvJrtq36xNJpJiNbvwkqtB8PMVDxyZ56vQsyXTmnCPCAL3tYTpbQ4BjoMvrwjixECd3HTmWzHB+T/vGDFpqVUXmXdrUklKUurml2FU+2cSMjcwOLPSph54llc4QTThOxVOL9QKzm1pBg87WEF2tITpagpjBXCzFRZs7/Dh2tlyT4lh9KnVh8LuAtwCv5GxKu/P/vmYKUM2tXPUBFZjWrpr1A+95eJRQwGgLBUikHKmMwzkYm4vnPc6Al13iZQXeUGIXqwt62hWk1igU8LJYwkEjHArQVt+FgtcUu5xzt61w/1/hNdYqdt/ngM+teqTSMJTJXnmZjGMulmI2liSZrs4kCmBsNsbh4QkODU/w+Oj0OYXX2/yswPlYimAQBrpbiCUzpDJw63Xe/vcHvnKUaDJNWzjg3+cW75OmtabYpU0tKQeVado41a7jHkmkeOjYFIeHx3niuZlzjmeGg0Y4GODCTe3Ekqlz/k2c7x83VhxrDKUuDP4AsNs5l1jxkTkUoGQ5CjzV4ZxjPp5iNpYinqxOEduMczw7uYADTs+mSKbzQ1HAoKs1REswwIWb23nvLVeu6vUVpEoTDBitoSCtoQCt4QCtoSDBQEMVCV5T7JLqWG/N2VqhTPbKqXZHRuccI88vcGh4nENDExwdm8+7Pxw0dg90cdovj9HZGiSWzBAMGL3tYeZiqcWJVLasxTu5hHseHuX0bPSc+2T1wsEAoaAVrUlUR9YUu7SpVR2NEruytLlVWdlmItORxIbWcc8an49zeHiCw0PjfH10+pw5WGsoQJefGZjOZBjoalt2XnX97j7FsQZR6sLg48BmYGw1L64AVR31EqAUeDZWyi9iO1elNPVUOsM3cjoJT0aSefd7NZkgGPAaicT9LMI3X7/62qEKUucKBwOEgwFa/QwWLyuwrrMBS7Gm2CUbrxw1Z2uJMtnLJ5NxzCe82FWNzaxUOsMTz81weGiCw8MTnJ7Nr7XU3Rbixt397NvTz3U7+2hvCS7Wz83Gn1+8eXDJ+HP97r6mjk2rZWaEAra4AOjFNiMU8H63xuiAqdhVJxotdoE2tyolnkozH/M2tjaijnuWc45nJiMcGvI2tI6cnsu7PxQwrtmxmYs2t3N4eILWUGBx8S/tKGnxT3FsfcyMcNDyTrpVQ6kLg+cBR8zsYc7WunDOuTdWZliyVvUUoBR4Ki87oVqIp6rS4j6aTPPw8UkOHh3ngZFJ5uP5qfKhgNHREmRTewjnYCGRprc9zHw8ve7FvGYLUgGzxUlSKGCEGnOytFqKXXWiHDVnpbHEkl4B9oV4iswGZwfmHq8qFrsu2NTG3j397Bsc4Lsu2nROpnWzxZ9yyy7+tYTOxrOWnIXAJqDYVScaNXZpc6t85uMpZqLJDd3YSmcc3z45u5jd/tx0fo31ztYgN+zqZ/+gt6Hl1b6FG3f1a/GvQrJx7eyGVmDxqHatxLVSFwZ/L+fPBuwHls0GlOqotwClwFMZiVSG2ViS+djGT6hmoknuH57g4ND4ip2ET07F8gLQLzV5Vt9KskElm/UX8hcBw8FAox0BLpeGjl31kh1einLVnJX6lt3Mmo0mN/yI1UrHq15wXjd7B/vZPzjAzv6OZt1sKZvcxb9s9l9LzsZWk2vo2NVIFLukmEzGMRf3YtlG1cGNJdM8+swUh4YmeGBkgulo/smsrd2tixtaL9q2qeh1Vot/65fN/mvxF/yyMa6lDmq2l7Qw6Jz7qpldjdcA5EeAY8CHKjguWSMFqOYWS6aZjmx8EdszszEODY1zcGicJ07M5HVjXK6T8LbeDgWgJYQCAcIhL7Bkj/62BAOajK5CI8euesoOL4Vqzja3ZDrDbDTJ3AZuZjnnOD7hH68anuDpJY5X7d0zwN49/Wzpbl3ilWQ52VgWDgYI5/5Zi39LauTYBY21qaXYJbk2OtN9JpLk/pEJDvnJGPGCDbU9WzrZt8ebfw1u7dIcooyCOaezWhYzAOtjAXApyy4MmtmleB2Bb8PrFvyPgDnnXrEBY9tQjRKkFKCaUySRYjqSJLZBaerZehUHj3qLgd85k1+AvS0U4Ppdfey/ZIAbd/XT1VZqcnLzWdxZCgVoDQYXFwGVAbh2zRC76i07fCWqOducYsk0s9HkOUd1KyWdcXzruZnF41WnZvLrBXa1hrhhVx/7Co5XFcrWEDw1G+UC1bAlYF4X+7CfwR7OdrYPBAgolpWsGWJXo21qKXZJOuOYj6WYi29MpvtzU9HFGPbkyfxkjIDBC7dtYt/gAPv2DHD+prYlX0dxbGW5NW3DQS/OZRcBG3GettJs/QjwNeANzrkhADP7lYqPaoM1UpBSgGoe2WYi8/HUhqSpZ5zjyKk5DvqZgSem8utV9LSFeOke75jVtRf30rpMAdVmDEZB/8hUS05auY5MVUzDx65Gyw5Xzdnm4ZxjPp5idoOaiWRr3R72j1fNxvIXIQMGfZ0tfP+LLuJHrtu24jX5oZFJPvCVo4QCRk9biImFOB/4ylHeySUNH8fy6iKF/AzAoOJYGTV87Gq0TS3FruYV8ZtiRRJpXAWzAzPO8fTpOQ4Pe5mBxyfyf85rCQa4YXcf+wYHuHFXHz0FPxsW08xxrJhsbMttaNWMme0rLQz+EN7O1f+Y2ReAe/BqXTSURgpSClCNbyGeDUSVz7Ao7CQ8MZ/Iu39Te5hXXbaVfYP9vHDb5pJ2T5ohGGVTyVtzjgBr4rShGj52NWJ2uGrONrbsceGN6Mg4uZDw6gUOj/PoM1Pn1Au8cFMbs7EUnS1ButuCxFOO//zWKQa3dq0Yh+55eJRQ4Gz3wOwm7D0PjzZUDGvN6V6fnSjpGFrFNXzsarRNLVDsaiapdIZ5fx5WyaSMRCrD4yemOTg0zuHhiXPmXwHzMtyzDZq+76oLVhV/miGOFcpb+PPLWjR5g8ZzLLsw6Jz7DPAZM+sEvh/4FeA8M/t/wGecc1+q/BArr9GClAJU40mmM16aeixFKlPZ7MBSOgl3t4X8endw/c4+rtnRW/LrN1owyl0EbA0FdQy4BjRD7FJ2uNSLaCLNTLTytW+fnYj4x6vGeerUHLlLgcGA8aJtm7x6gYP9/PHnnyYYiOfEIUqOQ6dmo/QUlMdoCwc4PRtd4hm1KxTILv6dbQLSGlIt22pphtjViJta0viyZS8WKpgdOB9L8eCxSQ4NjfPQ8UkiifyM+h19HX7JKMemtvDidXotc6hGimNZAbOzTaz8RcBQQIt/q1Fq85EF4BPAJ8ysD/hh4LeAug9QoCAltck5x0IizVwsSTRR2eNWK3cS7mEqksA5R0/b2UX0ZgpG2RpKLbnZgEHVT6pljRy7lB0utSyWTDMfTxGJpyu2mZXOOJ46NbvYPKSwvEVnS5Drd/Wxd88AN+zqy6t1u544dEFPOxMLZxcVAWLJDOf3tK/zHVVGtozF4lGpgDd5Uv2/2tXIsUubWlIvsp2F52KVqx04NhvzjggPT/CN0em8bHoDrriwx68X2M/2vg5u+5sH6GkLYzmJxGuZQ9VbHMsVCpzN/GsJnm3UqJNZ67fqjgDOuUngLv9XQ1CQklqRXQyMxFMV3ZUCLxgdHJrwOwlPn9NJ+Jrtm71g5HcS9oLR+hf06iEYZbMAc+sB1nOXKWnM2KXscKkl2cz2Sta9jSXTPPrMFIeHJ7h/eILpaDLv/i1drezd08/ewX6u3r55yfpAq4lDhTVxr9m+iS98+wzRZJq2cIBYMkMq47j1uu3lfbNrkHsEWBnsjaHRYpc2taTWJVIZZvyyF+WehznnGHl+YbF5yNGx/OaN4aDxkot72T84wI27++nrbMm7v5TYVUod91uv284HvnK0JuNYVjajPfsrFDAlZFSYWoWiICXVl0hlmItVtvZStpPwoaFxDh6d4Okzc3n353YSvmFXH91t+cfr17qgV8uTqsJC6i1BZQGKiJQqnfEaiSzEU/4Rp/KbiiR4wM+oePSZKeIFmRu7t3Syb08/+wYHuGRrV0nHhUqdFBWrifuFb5/hNVecx9dHZzg9G+X8KjTQMstvZqUMdqkn2tSSWlSpshfpjOOJE9McGp7g8NAEp2djeff3tIW4cbcXw67d2Zs3zyq0UuwqtY779bv7eCeXcM/Do1WLY3C262924S/b1EqbWtWhhUGfgpRstEzGMZ/wJlSVOiqc7WT1taNe3aXRdXQSXsvuUq1Mqop1BFYdJRGR1ctmts/HUkSTlclsH52M+JOocZ48OZtXLzBg8MJtm9k32M/ePf1csGn12ealToqWqon79dEZ/vRHX7Set7gkMyNoRnCxPpItHp3yaiZpwiQiUg6VaiYSTaR5+JlJDg1N8ODIBLOx/MXGCza1sdff0PquizaVfE1fKXatpo779bv7NmwhUF1/64MWBkU2UHZCtRCvXHv7bCfhQ0MTHCzSSXhrdyv7/SPCpXYShrXtLm30pCq789Sak3quuhMiIusXS3qxqxKZ7RmXrRc4weHhCZ6dzG/+1h4Oct2uXvb59QJ7ChrGrUUpk6JK1sTNZv3ldq8PB7XoJyJSaZFEitloqqzZgZMLCe4fnuDQ8DiPPjNFMp0fJy89r4t9e7z5166BzjUnJywXu6pZxz3b/CO74LfY2CqoRIx6oYVBkQ0QTaSZiyeJxNNkKrAYuFIn4Yv7O9g/OMDLLin9qFUxq91d2shJVfYolYKPiEh5xFNpFuLegmC56wbGk2kee3aaQ8Pj3D88wVQkv15gX2eLVy9wTz8v3tFblTqv5ayJGw4GaA17tf9aQ8paFxHZSNl4Nh9Lla0p1rN+iaZDQxM8dSo/uz0YMK7evpn9g/3s3TPAlu7WsnzN5WxEHXczIxw0r45tzgKgkjDqnxYGRSqk0l0ZV+4k3M2+wQH2Dw6wva86HbbLFaByjwK3hs8GIhERKa9UOsNC3NvMKncnxplokgdHvHqBDx+fJJbMf/2d/R3sGxxg755+XnB+N4EqL5ytpYRGYea6moCIiFRH9qjwfDxVlniWm91erERTZ0uQ63f1sXfPADfs7qOrdWOXWsrdVKSwq702tRqbFgZFyqjSre1X6iTs7Uyd7SRcbasNUDoKLCKy8VLpzGKZi3I3ETk5HV2sF/jN52by4lbA4KqLNrFvTz97Bwe4aHPtdKeHpUto7B0cIBg0wgEjGPAyJcJ+/b9w0DRpEhGpknTGEUl4i4HlqOGeSGV49JmpJbPbB7pa2OsfEb56++aq1s1ba1ORYCDnCHDw7BxMG1rNRQuDImWQPSq8EC9v3cDVdBK+cVc/XW219V96uQBV2BCkRUeBRUQ2TCKVIZJIsZBIEy/jYmDGOb5zZm6xXuCx8YW8+9tCAa7d2ce+wX5u3NXPpo711wuspH2XDPDKK7YuHgFW918RkdqSSmeIJLObW5l1z8XystuPTRIrSPbYNdDJXr9546Xnrb1EUyUUK/uUrf/X4texzd3MCgVMMU0ALQyKrFmlai/ldhI+ODTOiXV0Eq4FN+zpZ/+lA/mLgMoCFBHZUM45YskMCwkvi6KccSuRyvD10SkOD3uLgYVNr3o7wrx0Tz/79gzw4h2bVx23HhqZ5J6HRzk1G+WCCnayN/My1tvCwcXflTEhIlJ7EqkM0USahUR5Mt1PzUT9Da1xnjhRX9ntWdn6fy2hAK3BIOGQac4lJdPCoMgqJFKZxa6M5ZxUpdIZHj8xw8Gj48t2Et5/yera2m+0bP2Js92odKxKRKRaskeqIok00UR5m1/NxZI8eGySQ0MTPHRskmjBxGxHXwd79/Szb7Cfyy/oWVW9wNyFwM6WEFORBF2tIXraQkwsxPnAV47yTi5Z8+KguieKiNSPVDpDIp0hkcoQS2aIp9KkM+uLZ845jo7Ne81DhicYeb782e2V3NQKmBH2Y1drMOg3t1IMk7XTwqDIMrIZFrGktyNVzrqBK3USzhZhX08n4UoFpIDfETj3CLCCkYhI9WUyjoVEioV4mmiyvOUtTs/GOOxPoh4fza9za8CVF/awd3CAfXv619z06qGRST7wlaOEAkZPW4hnJiKkM472cBDDaA8HiSbT3PPw6IrxrDB7QnWTRERqXybjiCTTRPwM9/UuAmYl0xkeH53m0PAE9w9PMDYXz7t/c3uYvXv62TvYz0t2rP1U1kMjk9z9tRGOTywQChoDnS1r3tQKBQKEQ/k1ALMbWyLlpIVBkQLxlJdZEUmkiafWX6ci10w0yQMjExw86nUSjhfpJJzNDNzWu/pJVSWyLNQRWESktuVmBkYSa1sMLLaRdN2uXo6OzXN4aIJDw+MMF2RUtIQCXHtxL3v39HPj7n76Olvy7v/Y4eP806MniCbTtIeD/MhLtvGWvTuXHcc9D48SCthiN/uMcwSMxXgG0BYOcHo2v8xGbsZ6WBmAIiJ1I5HysgDjqQzxlJcZuFIcKzX5YSGe4qFjkxwanuDBYxMsxPOz27f1tnvZ7XsGuOLCnnVvHGU3tybm4wQNXAbG5uJs7W4jFLAlN7WCAaM1FFzczMouAqr+n2wULQxK03POEU169QKjiTSpzNqzAosFqYsHOji0AZ2E15tlYX4WYGtOMAoHTXUpRERqjHOOuF9fKZpMr7u+Um786G4N8tx0hDv/89uEgwFmovkdGDe1h3npbu+I8Esu7qVtiYyKjx0+zj888AwBg2DA23T7hweeAVh2cfDUbJSenEZa4WCAVDqTV74jnspw0eYO+rtaaQ0pY11EpJ7EkmniyQyxlBe/VpsRWDjnKUx+eH4u7te8Hefrz06TKnj9yy/oZt+eAfYO9nNxX8di/MjO456ZXCCRyhAOGjv7u1Z14iq7uZVxjkDAMIxMxtvc2tbbzunZaN6cy/sVVNKFVJ0WBqUpZbMrspmB5ai7lA1SQYPWUIBj4/P87r3fIpnOf+22UIDrdvWxf3CAG3f30d22dM2KwoXGa7Zv4uujM0V3x1aTZREKBM45CqyAJCJSmxYzKZJn6yyVM5v9Ew8+SyKVZj7lHUM+O4fyFhxbQwFu2NnHFRf0cP/IBF8fneL0TIxwILDkZOmfHj3hLwr6scWATIZ/evTEsguDF/S0M7EQX4xlfZ0tnJ6JEQp6dQG9RVDjl185yKb22u5oLCIiXgyLJbyFwHLUuy2c87SFAszGU/z5fx9l0/1hnj49d85zuttCfPdlW7nthh1FEzGy87hUOs1cNAkG8RScmFpY1Ymr7OZWOBgglXGYgZl3jDmZdlzc18nO/g5tZknN0cKgNI1kOkMkXr7uVbkyzvF3B48xH0sRS6XPWQxcSyfhwt2w56YXeOK5afo6wvQWqVWxXJaFmREwiKUy7OzvZEf/2mo/iYhI5eVOotaSTVGKsdkYh4YnODw0zjdPzhR9jAHb+9rJZBzfPDnDN0/OlFyeIppMU5hwbsY5TUqysvWTfnr/Tv74C0+TzGToCAdpCwfp62yhv7OFuViKbb0d3H7Tbm6+bOt6PwIREamAci8EFjo1G6W7NUgkkfaaQiZSi3Ov07MxwOsknHEQCsBAVwvhYJAHjk1yw67iJ7Syi43TkTQWMAJmfs3eNAMtoZLr2l60qZ2JSJyBrlZOz8RweOMKBQNkHLz95j1aFJSapIVBaVjZo1YR/6hVvMyLgal0hm+MTnPQr71U2Ek4V39HmFdcunVVtf0Kd8Pm42kCBguJNH2d5x4Nzs2yMDMGulo5OR31C9Qa0WSadAZ+/uV71v3eRRqZmf098HpgzDl3VZH7fwz4Tf+v88DbnXOP+/cdB+bwUq1SzrlrN2TQUtdS6QyRZJqYH68qsRDonGP4+QUOD49zaGiCo2Pz5zymsyVIZ2uI2WiCVMYRDgZoC3kxaGw+Dg62+BOqlcpTtIeDxFNpb3VxcQze7aFAgLawd3yqNZxfR+mWqy+ipy3MXfeNcGIqwrbeDn73+67QQmANOnBkjLvuG2F0KsJ2LdiKNKVsx+B4MuPXCKxMDAPvCPIjx6dIphwjcxEKv0w4aFy3s48jp2eZiyUJOsCMifkkW3sCy9b4yyZYJNOZxXiUzfQrVtc2kHMcuCXnOPA7XnUJd9z7JC0h48LNbZyZjZPMZNjd18lvvfZyXSOlZmlhUBpK2u/GGE1UZodqpU7C3kJegIV4mtxKhc9ORXn/F4/wm6++rOTFwcIMQC/zj7w6S23hAGdmo3S1hvjZl+3ifV84QiqToaMlREsosJhlMRNNKstCpHQfAf4K+OgS9x8DXu6cmzKz1wJ3Azfk3P8K59x4ZYco9SyR8jIp4n7X+9zrejml0hmeeG5msXnImdn8Dow9bSFu2N3P1q5W/uvIGVqC3oLd+HycgEFvx9lmIpmMozCkFpssZf3IS7Z5NQUzmcXMjYyDn92/a8Ws9Zsv26pYVeMOHBnjjnufJBw0NreHGZuLcce9T3In6HtXJdrUkkrKZJy3AJjyTiMl/N8rtQiYNRVJ8MDwBIeGJ3jkmSkSBY0bW3MW59793Zfyj4+coLMlxGw0ScAMMyODY3LhbI2/YrIJFrlHgJ3zstljyQwXbm6npz2cUxuw+Omvmy/byp2wuLl1zY5ezb9qnDa5PBVdGFSAkkpL+QEqlkwv/l5uuZ2EHy4SkLKdhHvawnzioWeZmI/nLQqGzEstX0ikSkpDzyqssxQOBkimM36b+oB3JCuRYudAF1t72nj9iy6kqzWkLIs6oSBUu5xz95nZzmXuP5zz1weAbRUflNS1eCpNzF8ErNTR4KxIIsVDx6Y4PFx8A+uCTW1eB8bBAb7rok2LHRi/66JN3PPwKKdno7SHg7SHA4v1aQEvg6Jg2LFkhvN72hf/ni2o3hIM8CuvfgHdbSE+fPg4kWSGzpYgP7t/F+/47ksr9t5l49x13wjhoNHR4v0b6WgJEUmkuOu+EcWy6vkI2tSSMkmkvEzAbNwqnP9U0ompCIeGJjg0NM6TJ2fzQk/A4EXbN7NtczvDYwtMRuKcn1N3/c+/cvRsjb90fo2/wpiV69brtvOBrxylqzXI1EKStHlftactjJnxjldeUnKTSG1u1Q9tcp1V6YzBj6AAJWWS8DswxlNpkhlHMpUpe0Zg1vNzcb52dHzVnYQHulr53Xu/BXinp4IGwWAA5xyZjFtyl6qYH7thB3/+30dJpDN0tATZ1B7i+fkkPe1hAn6dplQGbr9p9+JzFIjqg4JQQ/kZ4PM5f3fAl8zMAXc55+6uzrCkWjIZt9gp2DtWVd5GIcWMz/sdGIfG+fro9Dl1bl9wXjd7B/vZt6efXQOdResbXb+7b3HjKlvjNppM0xb2siU6/QWg3NtSGcdbX3oxfZ0ttIWD53QH/tVXX8avvvqyCr5zqZbRqQibC5q/tIeDnJiKVGlEok0tWYvsUeBkyssIzGYDVmqOVUzGOZ4+PcehoXEODU/wzET+daQ9HOS6Xb3s27Ny48ZsYkVvRwtjczEyGQBHwIxUxnHrddvzHh8MGK2hIK/5rvPp7Qzz4UPHGWKeRCpDS9DYvaVbm/cNTJtcZ1V0YVABStYqnXHeTlUqQzztFbBNZSq7U/XMxAIHh8Y5eHSCp8/kd7NqCwW4flcf+1boJHz97j6uvGAT3z41g8OrPwFeKnogYEvuUoGXEdgaDtAWDtIRDrJ7SxdbulsXMwB3DXTz5uv7uH9kcjEjUIGqPikINQYzewXewuD+nJv3OedOmtlW4MtmdsQ5d1+R574NeBvAjh07NmS8Uhm5meuxVKbs9WyLcc5xfCKyOIkq7MAYChi7BzqJJNLEUmnaw0FesLWb3Vu6Snr963f38U4uWcwgPL+nnV+8eRCAf3pklNOzMbb3dvD2m/c01TWr0pne9ZRJvr23g7G52GIcA2/ReFuvmpvVCW1qNaFMxi3WAcx2uq/0/GopiVSGr49OcXhogsPDE0ws5Ndq7+tsYe+efvbu6efFO3ppCQWWeKV82cy/UMDY2t3K+EKCVBp29nXw9pfv4eUv2EI46B09bgl5Ta+yXn3VBbz6qgvK+j4bXT3FrWK0yXVWLdUYVIBqUtUKUtndqa8dHefQ0DijU/nZfGvpJAxeQHr/FxeYjSbBT0PPOOhpCS/uUgXMaM0WXvdrVYQK2zdSPAPwHWt5s1JTFITqn5m9EPhb4LXOuYns7c65k/7vY2b2GeB64JyFQT+m3Q1w7bXXbty2vKxbtj5gLOnVCKxUfcBC6YzjW8/NcHjYqxd4cjqWd39na5Abd/Wzb7CfAMZdXxshFDB6O8IrdhAuJptBaGa0hQN0tIToaAly6w3NuZBd6Uzvesskv/2m3dxx75NEEqnFRjTJtMs7xSC1SZtazaEwySL752qaiyV58Ngkh4YmeOjY5Dld6i/u72CfX+riBed388ixKe55eJQP/PdRLsg5LrycxY2tR0Y5MxvlhRdt5udetovvvuL8xdIZzaycC3n1FreK0SbXWTWxMKgA1TxS6QzJtFusWxFPbWzNipU6CW/tbmXf4AD7B/t54bbNeQHkoZFJ7nl4lFOz0WWD0/W7+/jNV1/G3V/zLroAF/e1865XXcorLt+62LVKPKsNUPW+MwUKQvXOzHYA/wq8xTn3nZzbO4GAc27O//P3AndWaZhSBoncTSt/UlXpY8G5ook0Dz8zyeGhCR4YmWA2ll8vMBuz9u3p54XbNi1uMP3qPz6e19V+pQ7CWQ+NTHLPI16W4LbNHfzs/l1875XnL3ZobGZryfReTbyqt0zywgL7OsVQH7Sp1Ziy86rs4l8iVb1MwEKnZ2N+VuA4j5+Yyauxa8BVF/Wwd49Xnin35+BsSYtQwOhpC624wZVNunj02BT/+vXneH4uxs7+Ll2XcpR7Ia/e4lYx2uQ6q+oLgwpQjamwXoX3542tV5G1Uifhi/s72D84wMsuGeCSrV1Fay89NDLJ+794hIV4inTGMbWQ4P1fXFiyy/ANe/p5xeVbaW/xjgUXywaU1QeoRtiZAgWhWmdmnwJuBgbM7ATwe0AYwDn3IeAOoB/4a/96kW2QdR7wGf+2EPBJ59wXNvwNyKo55/ImVdlFwGrErMmFhFcvcHicR5+ZOqdeYChgDHS18iMv2cYbr7mwaMwq7GoPy3cQbg0Heez4JH91YIiWoDHQ2cpUJMH/+fwR2sLBurq+LmW9m0qrzfRebbyqx0xy1TWuL9rUqm+FXYFTaef9nnEbumG1Euccw88veKUuhiYYen4+7/5QwLhuZx/7Bvt56Z5+ejtair7OPQ+PrrjBFTCjozVIV2uI9nCQrz79PH/8pacJB22xxmA9zhOWst44Vu4NrnqMW4W0yXVWVRcGFaDq32KQSnpp6sl0ZZuClGommuT+4QkODo0XbW1/ud9JeP/gANv7Vs7SuvtrI17b+4ARDBrOwWw0yd1fG1kMTqFAgLaWAJ3+catikzXJVyxAjc/HeMc9X6enPXxOAGqEnSlQEKp1zrnbVrj/Z4GfLXL7CPCiSo1L1i8bs5J+9nq2PmA1J1bOOZ6d9DowHh4e56lTc3kdGIMBY1d/J2NzMTr9CVAsmeGfHzvBhZvbi25OFXa1h3M7CIeDXtfhLr974689NEprKFD319diyrGptNpM79XGK2WSy3ppU6sxZBf9zsaqs4uAtSqVzvDEczMc9k9knZmN590fMOhsDdESDBAKGm980YUrHgleaoPrzGyUnvYwHS1B2sP5861GmScUU444Vu4NrkaJW9rk8lR0YVABqnFksymyC3/J9NmU9VoxNhvj4NDEip2EO8JBPv+t09z7+EkePjZVUr2K0akIATvbTMQMMMeJqQh9nS20twRpDZVWg7CRlDsDYy6WZHwugQN29HWcE4AaYWcqS0FIpLLSGec1BPG7AyfTmbwjTNWUzji+fXKWQ8PjHB6e4ERBjduOliA37Opj754BbtjVxx3/9iTxVLjko8HZ4uvFOgj3d7bS1hI4J2Y10vW10Homi9k4d3RsjrlYit6OMANdrStmeq/281QmuayXNrXqRypnHpXwY1Mq7Wou+2850USah45PcmhonAePTTJXUOrigk1tpNIOcGxuDy8u4JVS1gJyNrhaggTMCJgRS6bYOdDFQFdr0ecojp1VbI5W7g0uxa3GUumuxApQdaYwmyKROrtbVWucczwz6XVlLLWT8GrrVRSTmwdoZmxeIgW+0VUiA+P5uTgYtAYDmNk5AahRdqZEpHwK41bSn2zVWtyKJdM8+swUh4cnuH94guloMu/+ga4W9u0ZYO9gP1dv35zXKXG1R4Ozxdf/8ZFRzszG2NbbwdtfvptXXH7ekuNr5OvrUpPFo2dmue3uB5bc3MqNc+f3tBEOxplcSJJKZ7jkvJ5lN8NW+3kqk1yk8eTGp9w6gLWySbVaE/Nx7h+Z4NDQBI89e26pixec373YPGRnfwdv/tsH6WkLYzmzp+ViV5aZ8daXXsz/91/fIZXO0NESIppMk8qw7KJTo8exoMHI8/Mk0hlaggEGulqKLnouNUd704sv4tOPPVfyQt5KC62KW42l6jUGpXqyR6hyA1WtTaQK5XYSPjg0fk6WxUqdhEupV1EoGDAu7m3n2EQEyzgs4B0ldhi7+us/0KxVdhcpnXEcG18gkc4QNOP9XzhSckAo3GmKpdIEzPJ2AnMDkHamRJpbOuO8ZiDJ+ohbU5EEDwxPcGh4gkefmSJekGW/e0vn4iRqqRq3UNrR4KxwMEBHS5A3XnPRqjoIN9L1tTBToqvFez+5k8Xx+Thz8TRjc7ElN7cKsyUGutroaAmxtbuNT73txmXHsJbPU5nkIvVpsQNw+mzjj2TK1UwDkLXKLXVxyC91kSsUMK7ZsZm9ewbYu6efLd35mXyriV1eQkDQ/xVi10AnvZ0tq1p0aqQ4VqirJcjQ8wsEzQiakUo7npuOMbil85zHLpXpd//IJHfecmXJn2kpC62KW41DC4NNIrtTFV8srJ6um92qVDrD4ydmOHh0nINLdBLeP+h1syrsJFyo1KwLr2lIaPG41e+8/kp+7dOPM+83HwkGjM2tYX7rtZeX743WkFKOCGd3rk7NxDHzFlAzGcd3xuY5cGSspCBRuNOUrc/Yk7M7lRuAtDMl0jycc8RTmcWjwPFk7XRZXM7oZIRDwxMcHhrnyZOzefUCAwYv3LaZfYP97N3TzwWbzp0cFbPU0eBbr9sOeIuBna0hOlvXXtaiUa6vxTIlZqPJxe9DdrI4FUnS1xle9ljWeo6lNcrnKSL5FrP/6iixYjXSGcdTp2a95iFFSl10tgS5YXc/+/b0c92uPrpal15OWCl2gXft7WoL0REOEiiYw6120amer7srzb0WNw6Ns8fXHEU3FJeLXav5TBt5oVXOpYXBBpPbWXExG7AGmoGsVraT8KGhCR4YmTinbkUpnYSLWW7nqqPFm1R1tITOWVy8+bKt/MmbXlSXgWYlhYHopbv7+PRjz614RHh7bwdff3YKy629CISDrKrIb26Ayk7olgtA2pkSaTzZRcDc41axZKYuai1lXHYSNcHh4QmencxfNGoPB7luVy/7/HqBPQU/rJciezT4nodHOT0b5fyedn78xh286vLzvILuocDKL1KCRri+FsuUAGgJBtjc0bIYw2eiSfo787NbChf91nssrRE+T5FmlK0BmEw54um0V/8v7Ui7+qkBuBrxZJpHn53isB/HCktdbOlqZe+gtxj4ooJSF8spFrtuvW47+y8d8JpftYYIlfhaparH624p5Znm4iku2tzG+Hxi8Sjx+T2tzMdT57xeuY5U1/NCq6yeFgbrWGHhWm/Hqn4DVrk7CRdTuHMVT2XIOPjlVw5y/qa2ZZ9bj4FmJcUC0QcPDNPbEWZTu/d5LFXc9vabdvMzH32YoBkOcA4yOC7sbltzkV8FIJHGVrgAmK0JWG/ZFvFkmseenebQ8Dj3D08wFcmfRPV3trB3Tz97B/u5ZnvvuhbuHhqZ5J6HRzk1G+XCTe38zuuu4NXfdX7JE7N6UmpDq+Uet1SmxEw0yeffddPibbfd/cCKEydlS4g0tnTGi0H5cal+awCuxkwkyQPHvHqBjxyfJFZY6mKgk32DK5e6WEpu7Lqgp51f/Z5L+e4rzl9XZnutWm/sKqWxSHaxb/eWrsXXiyRSbO0+d/5aztjViPNfKU4LgzUulS2mnjnbqj7btr7esgCLKa2TcD979wycU7diLa7f3cevBi7lHx8Z5fRMlO19nU298FQsEKUyGeZiKbZ0n31csaNTN1+2lUu2dHF8MkI64/wiuG2EglY0SJVKAUik/mUnW17GRf0uAOaaiSZ5YGTpSdTO/g72DXp1ll5wfvdiJvV6ZBtmtYQC9He2MBtL8t7/eJIPHhhiLp5aUzf4WlVqQ6sDR8bySnuMz8f5tU8/zp+86UWralJVysRJm1UijSG3mWIifXZO1QwLgLlOTkcXS11887mZvHmXV+piE3v3eOWZSi11UUxus8dN7WFmogne/4UjfPjQ8aaOXUs9rpSyFatZ7FPskrXQwmCNyGZRxJMZ4mnvP3qyDo8Ar6SUTsLX7epjf04n4fXK7lidmYuxvbeDX7h5D59++951v+5GK3U3ajXPLRaIWoOBcwrkL5V+/luvvXwxyCmbQqT55C4AJnIyLhplsrXSJOqqizaxd08/+/YMcFHv2idRxYSDAf7lsRO0hwN0tnrX6VQ6zXQkyXwsxeDWrjV1g69VpWRMALzv808xHUkuFmB3GZiOJHnf55/i5su2ljx5KnXipM0qkfqRTahIpLz5VL2fplov5xzfOTPPoeFxDg9NMDK+kHd/dt61b08/N+zuZ9MaSl0U80+PjNIa8mrfBsyIJzPMRFMsxBeaNnYVPi6VdozNxbj944/SGgqQSmfYkpNYUazJx2oW+xS7ZLW0MFgF2TqAiwuBqXRDB63cTsKHhsYZXWUn4fV47Jkp/vhLR1iIp8g4r0NkbmZBvSh1Nyr72FJrBhbLrNjUEWZyIakdKRFZtDjZSjf2cauMc3znzJzXgXFonOMT+ZnSbaEA1+7sY99gPzfu6mdTR3kmUVkBMzpbQ3S3hWgLBxkZnyeWzJBIR2kJehOHgEHaOb+DY/EJSLWtZSOr1EYfxyYiBIzFIvVm4DKOY/73ajVxSRMnkfpUGJMabVNqPZLpDN8Ynfbr3o4zXtC0sbcjzEt3e0eEX7xjc9nmXa3hIF9/ZoqPPfAMjz83Q1sogHPQ0x5mfD5e07FrPckXpcau3MfNRpOcnIlieD93dLaGGZvzvk8DXa3LbmjVwucljUkLgxWUXQDMZv+dbWHfuIuAWaV0Et43OMD+EjoJr1Zud8Zf+PijzEZTfmYB52QW1ItSd6NWWzOwWGZFOBjkF2/ewf0jk9qREmkiuTFrsfB6g2av50qkMnx9dIrDw17R9cJ41dsR5qV+VmA5J1FZZkZnS5DOVq8re7aO04EjY8zH02ScI2hGKu2Ipx1Bg7acMZTaJXejrGYjK1e5iqWD4lKp1jMZFtkIjVZPvVLm4ykeHJnk8PA4Dx2bZCGRzrt/W287+/Z4i4GXX9BTtnlXSyiw2ETk4NFx/viLTxMOGq1BI5HOcHLGSwZJpDMYXhOorFqJXWuNWVmlxq7cx43PxwlgYN5JrYEub462EE8zE00q0WIVFMfKRwuDZZIbsHLrWDSTbCfhg0fHeWBk8pwuSWvtJFyKwiyL7EXiyJl5r6t7AEKBwDmZBbUu+z4eOj5JWyjAQFfrYkfLYgF1tTUDl8useMdGvckaocAizaJYpkUy5UhlmidmzcWSPHhskoND4zx8bIpoMn8StaOvwzsiPNjP5Rf0lFwvsLDY+q3Xbef63X1FH9veEqSrNURnS2gx+y3XXfeN0NcZZmI+icOLY6Qh48irubvWxbNiynEdLHUjq1CpR4B3D3RydGwec86L6c77TC7Z0rn6N7xBajG+rHcyLFJO2Y2p7DwqoQzAFT0/F+fw8DgHhyZ4fHSaVM5nZXhNG/fu8Zo27uhfPkasJnYFzOhuC9HVFsprIpJ77d/a08bJ6RgOrw5sMOBtblUqdq3HWmNWVqmxK/dx2YVSnC1+Jv2drYQCSb72m68s91tsWIpj5aWFwVUqDFxx//dGzqZYzmw0yf0jExw86nUSLqxNd8UF3X5m4No7CS8nHAzQ0x6mu/XsxCr3IgHggGTGARlCddTFMfd9FO689bSHiwbUtdQMVGaFAos0pnTGFWRZNObx31KdnolxeHicQ8PeJCr3YzDgigt72Lenn72DA+woIV4VTqSu2b6JL3z7DKGA0dMWYmIhzge+cpR3csniBCscDPD46DQff+AZTkxHl10kGp2K0N/ZSmsoyPNzcRLpDK1BI5lxBAOGc66sdV3LdR0s9VhVoVKPAP/may7j1z/9OHOxFKl0hlAgQG9HmN98zWUlj3EjVSq+rHexcb2TYZH1mo0liSXSix2BZXnOOY6NL3Bo2Ct18Z0z83n3h4PGSy7uZe8erwlWX2dLSa+b2yhkqdgFXnbgE6PTfPT+4vEr99rf3Rbmws1ek8lYKsMlWzqZWEhULHat51q41piVtZp6tWcf5x0jPn9T22I9/VpZKM2q1IZWOV9Xcay8tDC4jGxDkETaqwWYnVw1e/r62GyMQ8NeJ+HCydXZTsJeR6uBrvV1Ei62g3Xjnv687MBCuReJtlBgsXNk2jkCzm1IZkG5sy4Kd95CQSsaUNdbM7BWbHR2hQKL1LNMxt+watAGIGvlnOPo2DyHhyY4NDzO8PP5RddbQgFesqPXqxe4u/RJFBSfSH38oWfZ1Baiu9OLe9nr7T2PjPLKy7fS3RbmwZGJxaNWKy0SZa/n3W3hxYlDJJGiJRhgc0dL2eq6Zq+3jz07hRmc192Gtay9BtR6jgSXslF182Vb+b9vetGaa9uuFF/KHX8qEV/Ksdi43smwyHrNxVLEC7K1JV864/jWczMcGh7n0NAEp2Ziefd3t4W4cbeX3X7dxX20t6xc6qJwbjUbTRAKeE0EISd2PTzKDXv66WwN0tMW5oHhCd73haXjV+G1v7stTDBgbO1u41Nvu3Hx2lrOmuQrdakvRTnKWJSaZJF9XPYaXs6F0nLGrkpuaJXzdRXHyksLgzlS6Qwz0aRXUyndHLUAS+Gc49nJCAcr2Em42AIgwPu/eISFRIpMxjEdSfDHX1rgT970Il55+XlLvlbuReL8TW2cmIqSyngLggYVzyyoRNZF4c7b1u62ohf8ctQMrLaNzt47cGSMx56dIuMcLcGzx7UVWKReTEeTTEcSKz+wCSTTGR4fnebQ8AT3D08wNhfPu39Te5gbd/exb88AL9nZuzgRylXKkap7Hh49ZyKVzjgWEmn6/H0nM6OrNcT4XIytPV79oNUsEi11POl3v++ysl0Lc6+36UyGgFleZvparoOlHqtaj7Vmuq8UXyoRfyoxcSnHYmM5azqKSPlkSzMdHprggZEJZmP5pZnO72lj72A/+/acW6d9pfhVbFPrueko5/e0Avm1a8fmYuzo61h8/ZWuOytd+ytxQmmlLvWl2IiYVWgtzRuXW/grd+yqVMJEuV9Xcay8tDCYI5VxzEST1R5GTcjtJHxwaJwTFewkvFQKeyadZjZ69mKPM2ajKf74C0eWXRjMvUh0t4XZ1usdIXPANTt617QotppdmHJd9FbaeStmI2sGHjgyxvu/cISRcS8LZ1d/B7/12svXHfQ3MnsvG0gNb9E4lXaLk+JQ0BRYROrAfDzFQ8cmOTS0dNH1vX7zkCsuXL7oeqlHqk7NRulpy/8RqiVoJFIZAgEvZgUCRiSRYnvf2Qz11SwSbUTX99zrbWsoSCrjMAfj8/ElS1aspBa71ZeaFVmJ+FOJiUs5FhurMRkWkeImFxLcP+xltz/27DSJghJAl2ztYt+gF8d2b+ksWqe9lPhVbFMrFDDGFxJ0tYYX41cslebi/s68eLnSdaca1/6VutSXoloxazULpSst/JU7dlUqE6/cr6s4Vl5aGJRFKb+9/UH/2FWpnYRXU7C2mMIg1dESIp5Kc3wmRkvQCAbO1gUs5WJfeJEIBoytPW3cecuVFckwKFSui95aL3YbUTPwwJExfv3TjzMVSZL9mWHo+YVVp+8Xs5Fp4dlAev4m76g2BubgzFxsMStTRGrP2GyMw8MTi/UCUwXHpq/wi67vG+xnR19Hyc2uik2askeqcuPaBT3tTCzEFx9nZmxqDzMVSZJMZwiFg0QSqXOu2atdJFrpel7O2kpbulu96yCORNoVHX+paql27WqyIisRfyoxcSnX0bdaW8AVaSajkxEODXl1b799cpbcKBYMGFdv28TeQa9e4Hl+1vlySolfxTa1BrpaOD0bJ5XJ0BEKLXmNKuW6s9prf600ZqqlmJWr1E2tcseuSmXilft1FcfKSwuDTW7FTsJ9Hey/xGsecul553YSLjW7YjnZIBUIGAEzggFbbByyFuW+SKx2F6ZcF71avNjlBqhkOkPAIBjwJ8YZx3x8/Zl9G5kWng2kZsaFm70Ob/FUBnO25oVkESk/5xwjzy8s1lk6OlaeouuFik2a2sIBTs/mZ83fet12PvCVo8RSaTr9zazWcIhfesXFy5ZtWGqR6KW7+7jt7gdWNTkqx9Ghwgz7CzefzbBfqmRFvVlNVmQl4k8lYnm5FhtrdTIs0ogyznHk1NxiHHt2Mn/RpqMlyPU7+9g32M8Nu/rpalvdNL2U+JW7qWX+nKstHOQF53WvWLu23Jsc5Yhh9dilvlSr2dQqd+yqVCZeJV5Xcax8tDDYhGaiSR7wOwk//MzUOenql1/Q7TcPWbkzY6nZFUsxM7Zt7mAqEqctfDYzMJpM09ESJJHKrOlin3uRyC5m/c6/fWtDulWV86JXSxe7wgCV8b8f5nd7NvOKJK83s28j08ILJ8XdbWEiiRRbu9tq5nMXaVapdIYnnpvh8NAEh4cnOD2bX3S9py3EDassur6SwkxAgFgyw/k97XmPe8XlW+nrbOHDh4+vqmxDsUWil+7u49OPPbfqyVE5jg6VO8O+WpbLOllNVmSl4k+5Y3ktbhyKyLkSqQyPPTvF4WEvjk0u5J/G6u9qYa9fmulF2zbTEgos8UorKyV+3Xrddv7if46SzGTobPGyA1MZuOM1K9euXem6s9rsv3LEsHrrUr8aq9nUKnfsqlSMUeyqbVoYbBLZTsJfOzrOEyeKdBLeton9lwywd88AW7pL7yRcanZFoVAgQE+7txjzy68cLHox+/mbdvOxB55Z8WJf6WKsazn61YgXvcIAlU6kcXjdnkN4C7fBwPrr8m3k56faFCK1JZJI8dCxKQ4Pj/PgsUnmCoquX7CpbbHO0lUXbVq2XmAxK5W+yGYCRpNp2sIBYkmvEdmt121fbCayqT1MSyjA9151Pt971fmrfo+Fi0S33f3AkpMjoKQFr6zVHh1qhHhVGOePjc9z+8cfpbstxCVbu+lqCfqbjStnRdbT51FLG4cictZsNMkDxyY5PDTOQ8cniSXzEzB29newb9ArdXHped0ESix1sZLl4lfAjO62ED907TbO39S25mvcUtedtcy3yhXD1tOlvlYUm8uuZlOrErGrUjFGsat2aWGwgT0zsVDRTsJQenbF4tcNB+lpD9PZElw8lrzcxeyF2zYve5HbiGKsa1k8qveLXikBKrfbczaDcHNruCyLahv1+dXTJFCkUY3Px71siqFxvj46TTKdXy/wBed3s29PP/sGB9jZX3q9wEKllL64fncf7+QS7nl4lNOzUc7vaee267fz3Vecx6b2MKHg2rM5lrLU5Ojo2Nyy8a2cZSvq+ZqXG+dno0km/IycSDzF2FyM2WhysXZXKVmR9f55iMjGOz0TWzwiXJiAETC48sJNi5taF/UWnyMtpdRa7sXi15tv2M6rr7yAbr9kE1TmGrfcfCt7f+EGl2KYZ6nNrUzGMT4f57zuNnraVy71Ue+fg1SfFgYbSLaTsLcYOM5ohTsJ3/PwKM9MLjAfT7GpLURvZ0ve7lRWMOBlWXS3hZdMkV/qYrbSRW6lhb/vnJkllsyQSGdoCQYY6Gqluy3UdBkVq/EX//UdPnhgmHTG0RoKkEpnuOPeJ8/JutjWCyenoyQzDjNjcKA8XYk3mgKpyMZyznF84mzR9adP529chYPGNds3s3dwgJfu7l9VFvty7r5vmImFOJmMIxwM0NvRQihg55S+uH53H9fv7iMUCLCpPZw3oaqEpSZHiVSGTe1Lx7d6yHjeiMLyuQur4/NxAhgWgGTGLX52LcHAivWzRERK5ZxjaGyeQ37DxuHnF/Lubw0FeMnFvewbHOClu/vY3LG2urerreWejV+t4SCbChIxKmktG1yKYZ6lNrcCBqm047npKOAIBQN1WepD6ocWButcKp3h8RMzHDw6zqHhccZL7CS8HrlBaqCrhVAApqMp0hnHxf1diztZ7S1ButsqG5SWS0M/cGSM+XiajHMEzUilHSdnovSnWtg10LWqr9Msi0cHjozxwQPDZJwjFPA+s4mFBP2dLXS2BEmmM3m1qM7f1K4AJSIrSmcc33puZjGj4tRMfr3ArtYQN+7uY++eAa7b2Utna3l/PHloZJLjkxGCBgE/HozNxdja3XpO6YtwMMDmjjBdraENmVAtNTkKBy0vGx/yj1nV+qZVOUp55L5W4eQMvPf+/Fx8Masikc4QNMM5bzEQvM9sJprk8++6qdxvUUSaSCqd4YkTM/8/e/cdJ9dd3/v/9ZmyfVe9F8tywQVbAmRT7BjRS4xMbpoJIZXYuZcEyC+NkMThOrdAuDeJCSTYMeBLKA6hWRADBowQBowbkm3Zsi2vjSWv7JW0q+270z6/P86Z1exqtk85s/N+Ph7z0O6ZM2e+O9o9n3M+3+/38+WuQ8f50ZMn6B4Ym/D8kuYkLw/r3r7kjGU0LWAARl6+lntQw3skWPgvZty098nTEoNmRmtDMDOrFO89F/Pp4Pr8NS+rmxgGwcCLm+96iqFUltaGOO+8/Eze/dpzp+zcyuacjcuaea5vlOf6x3jx5mWR+nxk8VFisAaNprPc+3Qvdx06zt2dJ06rwXTGihYuP3slP3fOSs5ZffpKwgtxT2cPf/ufjzCaztKQCEZcLGtppCmZYEVrI/949XbamxJ0NCdJlmHK1WTTDUO/cW8ny1uTnBgMphFZDMhB73CaD0aoN2quytl7dePeTjK5HMl4DMMwA3IwMJohGY/xt1e9MLIBXESiZSSd5b6ng3qBP37yBP2TYtWajkYuO2slrzh7BRdvWFKWabp5hTdXuZyPTy3t7h/jhRuWAtDcEIywKIwnlTBVgu/GvZ0zTrOKcqdVKUp5QPGbsz/94n6c4EZ8bUcjz54c5dmTI8QtqHtr2PhI03Ktai8ii9/QWIZ7n+7hh4dO8JOnehgcmxjHNixtHp8ifMH6jpIMwCh0tD84r3UPjGEYMTM85zzdM8w9nT3jo9vbmxK0NyXKGkens5AOrsUewyBICt5w5yFiBolYEJduuPMQMPFednLnVntT0EnZN5Lm89e8rOQ/o0ghJQZrROFKwvf9rJexKVYSvvzslWyaYSXh+cqPFBxJZ4nHGB9xAU20NiboHhhl0/KWkgfF6Uw3DP2vbnuYFa2NNCbiHBsYI5XNkYwZLY2JyAahmUy+QXr6RFCHoq0xzrlrOhacqHv8+X7cgzqRMYO4GfGYMZbJsXFZS6QDuIhUX89QKlx98Tj3/6z3tHqBZ69u4/LwJmrrqtaKjMiD4OaqtTFO7/DEm7qMw0vPXMaGZc00Jio7wqLQVOfWqE+zmk6xEf2ZbLBC5+UfunPWHVvFbs6e7R0Bg3VLglpdZsZzfaNkc04sZixvDW6mJhdoFxGZyUx1b89bG9xzveLsFZyxfP51b2djXUczjzzXh+cgy6lOrYTBF+4/zFu2r6elQtOFp7OQDq6oKsXiKHk33/VUmBQMErcxg0wux813PcVHrn7ReKxviMdIZXPq3JKqUGIwwrr7R7nr0AnuOjTFSsKblnL52SvmvJLwfBSOFHSHXA4SccNzcHI4RVMyxhkrWiuaFITpp1Jt2hv0wLQ3JccXVxlOZVjd3lTRNpZS4Q3SwGg6HA3pjKZzCx7inp96bQY45DyoW5n1oB6XbqxEZDJ355meYX54KEgGPnp0gMJbqPyq9684eyWvOGsFazoqe/7N18PtGUqRyTr5CJVvYzIGDz7bX9Wk4FSiPlV4JpNH9PePpHn25CiJ2NymZRVNMOZyE26EC0dVRGFkeyXqUolIaeTr3v4oLHVxcIq6t5edvZKXn7WClW3lvecqdPUlm3jfV06etj0HPHNiqORlNxZisXVwbVrWwlPHBxkYzYzXqm9vSsy5HBXAUCrL5DL7MQu2F8b6vuEUmZxHonNLcaz+ROdsIuM3WOVeSXiuJo8UJAdZB7I54jFIZSGTo2on+akCUS0UtZ2rwhukYwNjmEEMI5XNLWiIOzBh6nUs7sGUOw9uoN+18ywFA6kbZvZJ4Eqg291fWOR5A24A3gwMA7/l7g+Ez70xfC4O3OzuH6xYwyskm3Me6ernh08GdZaOTFroygimeL7xwrX82ks309ZUnUuNwnq4q9oa6OoL6kEljHAxEWPdksZ59f5XSi2P0p4cg58fCOpKrl3ShJmNx6wPffPgtDcfxUqGJGIxmNQPOXlUxcQxPpVT6rpUIlJ62ZxzoKsv7NQ6ES7wcEprY5yXnRnUC7xky/KqJODyHVuFjKAOruOkstU6y81eLXdwvXzrcu55uoeYBUm8VDbHscEUv3bp6Yu+zKQ1XMCxcPxMzoPtMDHW5xNy1e7cUhyrP0oMVll+JeEfPHGcuw4dP+0Gq5QrCc9XvjZTYyJGNhfUiyCbwwkShK0N8UguQFHLwWgqbQ1xDh0bJJtzMlknEYOYxSYUWZ/vTe7h3uGJU6/J0RROvX73a89dcNvV8yQ15Bbgo8Cnp3j+TcA54eOlwL8ALzWzOPAx4HXAEeBeM9vt7o+UvcVlNprOcv/PevnhoRPc3XmCkyPpCc8vaU6SzuZobYizpDnBWMb5/hPH2L5padGVEyshH7uak3FisQQnBlOMZZ2sQ2M8xqr2RuIxi8Qo8sV4fpwcg91hw9KmCZ2amWyOp08Ms2VFy5Q3H8U6+dqbEjic1vH38q3Lq34zU8q6VCJzoU6t6c0Ux2IGy1sbeOu2DfzKJRurVq8PgqTgR+58goZEjHBMBhDUpzMDz0HD5CFoVTCb2FWrHVw/7uxhdXsD/SOnRgx2NCf4xsPP8ePOnjnF63defiY33HmITC4o1ZQLZ2a98/Izp3xNNdO+imP1SYnBKihcSfiuJ49zogIrCc/XPZ09HDjah4cr+2ZzjsWNRNzI5mD90mivSlurwaiYPQe7OTGUIp3Jke8kTOcgRo61S4JREjPVoZgugOdHZZRj6rV6nqSWuPteM9syzS5XAZ92dwfuNrOlZrYO2AIccvdOADO7Ndy3JhODvcMp7n7yBD988gT3F6lte9aqVl5x1gouO3sl//K9J+kZTo0XGW9OBuejW+89XLXE4NH+EZY2J0nEY8TMWLe0mWd7R3DgzJWtkRlFvpjPj4Ux+G033R3WJT7l+f6xGW8+inXy/fXPXwAUr2dV7ZuZUtalEpmjW1Cn1gR9w2l+3HmCHx4qXqN93ZImBkbTtDYkaG+KM5Zx/vPho5y9uq1qsaspGefLP32WpmSM1sYkzQ1xUtkcmayTyUFLwuhoTbJlxdyntJbSYo5dcGrAxMq2U/dB/SMpHu8enLYzq5j8AItiqxIXispnqjhWn8qaGFTP1Skj6Sz3Pt3DXU8c5+7O01e1Wt3eiAHpXI51HU28dMtyXrR5WXUaG7rnqR7+6XuHiAFuwbSroP6ck3GntSFRlaTgYhxZMRs37u0kETfMDMPxMDkYXOL4jHUoZgo25Zx6HYWbNZES2gAUzu85Em4rtv2lFWzXgh3uGeaHYdH1A139E3qsYwYXb1w6vgLj2iWnLpafGxilY9KU4aZkjOf6J46Cr4R4zHjw8EmGxzIcHxyjKRFnVXsj7U1JVrZnGRrL0jeSLuso8rnEqaicH8sdW4vGmFyOjUubJ+xX7OZjqk6+ydv+6raHq34zU2zqs4rHSyWoUyvw7MkRfnToOHcdOsGBrr4JNdrzcSxfo/3vvvnY+MhyqF6nlpnR2hhnSXOSxkScrr6R8XPZqvZGuk6OkowHo8jWLmmKRKdWVGJXuRQ7l8+mM2sq737tuTPOwIrKZ6o4Vp/KPWLwFuq456p/JOilmmkl4Y7GJJ+79xkSMaMjmaBnOMUNdz7BezinKr1ViVgwVPqrYW/VuqXNdJ0cBYMYYDFjQ3t1RgpGpSelGg73DtM3nCYeM5IWTB/IZHOkc85z/WO8ePOyBd18lnPqtXqeZJEpNozbp9l++gHMrgGuAdi8eXPpWjZHOXcePdo/XmfpmZ6Jf5PNyTiXnLmMy85ayUvPXE5Hc/Hatus6mjkxNDZ+cwXB6uZrO5qL7l8OiViMJc1J7v9ZDx++43FaGxOMZnKksjme7R1hZXuWZDzOR66+uKzxYq5xKgrnx0rE1mIxJhkz0rmJfyILufmIws3MYqxvLIvGouzUypdl+tGTwcjAp09MPHc2JWNcumU5l519ehw72j9S1U6teMxob0rS0ZQgEY+Nd9AcGxjj+MAYa5cE5RfWL4Xn+kZxYHV7UyQ6taIQuwqVunNrIZ1Z8xWVz1RxrD6VNTFYjz1XxwbGgsVDDh1n/+GpVhIOVmfMryT8//37/km9VfGq9FY1N8TpaEqOF9g9cjLorRocyxAzGMsEdQWTTkmTgrU4siKvkqMXNy1r4WjfCMmCmicxM1obYixvbeDz17xs2tfPJtiUa+p1FG7WREroCLCp4PuNQBfQMMX207j7TcBNADt27KhoKZmxdJYHnjnJD588zo+fPEHv8MQ6SytaG3jFWSt4xdkreNGmZbOqY3T1JZvGF6lqSsYYTefI5JyrL9k042sXqikZp6M5SWtDHDPjX3/wFMm4saS5icZEnOODY4xlcgyNZcueFIS5x6konB8rFVsnx5h8QrJUNx9RuJlZjPWNZdFYNJ1aqUyOfYeDOPajQyc4MTSxLNOyliSvOGsll529ghdvnjqOVatTK2bGkuYkS5qT4WJYEzto1nY08uzJUY70jrBhqZOIx1jd0VTWQRlz7SCKQuzKK0fnViU6syaLymeqOFafql1jcME9V1EIUD87MbSglYSr2VtlZrQ1JljSnDwtaG5a1sLTJwY5MZjGDBqTweIjMStdzcNaHFmRV+nRi9desZUHnuklm3PiBu6Qw2lvSs4qYFQz2EThZk2khHYDfxB2Wr0U6HP3o2Z2DDjHzM4EngWuBn6tiu0c1zeS5u7OE/zw0Anue7qH0Ukj2LesaOGysNPqBWvb53yev3Trct7DOdx672Ge6x9hbUczV1+yqWydW5OnXRUqjBMdzUk6mpO4O30j6QWfm2fTGTTXOBWF82O1Ymupbz6icjOzmOoby6JS051ag6MZfvJUEMfuebqH4VR2wvObl7fwinDBxvPWzS6OVbpTKx4zOpomJgTzJnfQgPH8wOisZgWVwlw7iKIQu/LK1blV7s6syaL0mSqO1Z9qJwYX3HNVjQCVH7IeJAOPc3iBKwlXo7cqZkZ7U5AQnGrVrWuv2Mq1n7kfx4lheHgfuawlWbJRBLU4siKv0qMXd563mnftPIuP7XmSTM5pTMRob0rSkIjPKmBUM9hE5WZNZDbM7PPATmClmR0B/gZIArj7x4HbCWrjHiKoj/vb4XMZM/sD4FsE9XE/6e4HKv4DhLpOjvDDQ8f54ZMnePjZ0+ssvXDDEi47K6iztGHZwuPNpVuXz5gIvKezh1vvPczR/hHWzTJ5OOE1S5r53cu28KaL1k0Zu8oVJ2bbGTTX94/C+bGasbXUNx+6mRGZUs11anX3j47Xvd13pI9sQSAz4IL1HVx29kouO2sFm5bP/XxVqU6tZDzGkpYk7Y0JbIqE5eQOmo7mJO1NCfpG0jPOCpqt6Tq35tpBFIXYlVepzq1y/8xR+kyl/lQ7MbjgnqtKKVxJ+IdPHuf4pJWEV7U1cvk5wZD1bXNcSbiSvVWNyTgdTQlaGxKn9VRNtvO81bQ1xhlN58aXaV/Z1kR7U2LWJ9qZRlfU4siKvGqMsHj3a8/l4o1L5xUwqh1sdLMmtcLd3zbD8w68a4rnbidIHFbcjHWWEjF2bFnOZWev4GVnrmBJS/F6geVyT2cPN9z5RFBPtynBiaGxGevp5l+TjBvLWpL0j6T48B2P096UnPJ8Uq44MZvOoD0Hu+kdGuPpE0MkYzHWdDSSiMdmfP9qnx+n+sxevnU5b7vp7rpb7EukFi2GTi13p/P4UNCpdegET3QPTng+GTd2nBHGsa0rWN7asOD3nE2nFsyvY2v/Myf5/L2H6eobmfEcWu4Ompk6t+bz/tWOXXmV7Nwq988clc9U6k+1E4OR7rnKryT8w0MnuLvzBAOjE1cSPmN5C5efs5LLz17JuWvapuwBmslce6vmGpjiMaO1MUFH0+nThWdy7pqO0060w6nMrE60sxldUYsjK/KqNcJiIQFDwUZkcRnLZPnhoePc8chz/OjJE5wYnF+dpUq49d7DU9bTzT8/Oa79+32HaUzEaAtHWSTj8RlHZpcrTszUGVQY8zYubeb5gTGOnBzl3NVt/PXPnxfpc2+xz+zlW5fzxQeercvFvkRqUa12amVzzoNHToYjA0/wXP/ohOc7mhK8bOsKLjt7JTu2LJsww6pSpurYeuNza/jp4b4JseulZ62gvSnBvmd6+YfvPjHrc2i5Bz/M1Ln18q3Lw1lJORrDEY7J+OxmJVWbOrdEFq6sicFa7LmazUrCl521ksvPWcnmeQxZn8pceqtmO+KiIRGs0HjfUz3c9IOn5nVSXEiQms3oivzxjw+O0jecZiybIxGLcdW29VMeNyrJrdl8NpVcnERE6s+v/etPuP9nvRO25essXXb2Cs5f11HSurALMVU93Z/1DJ0W1/7pe4f4m9YLODY4xtLm5ISOt9mMzC5HnJipM2iq+lCdx4e4cW/neLuiavJn9rab7o7UYl8isngMjWX43sFu9jzWzU+e6jlt8MW6JU3j9QJfuGHJnGZilUOxjq3e4TE+c88zrO1ooqMpQc9wELtWtzfy6gvW8Im7np7TObTcgx+m69zac7CbLz7wLMtakgyMZhjL5OgZSvOunZtr4nyvzi2RhSv3qsQ103P1vYPd3Lj3Se55qmeKlYSDOkz5lYSrZboRF5duXc49nT184f7DPNc/yhnLWxd8UlxIkJrtKri/dOQkH9vzJNmc05SI096U4IsPPMvFG5dG+sQ902dT6cVJRKT+XHbWCh74WS8Xru/gFQuos1QJU9XTTWVytDUmaGlIEIvBkkQQ1z71o6cjVVd2ps6gwpjXP5Kmq28EI5jiXe7zfzk6oaK02JeILB4nh1O89H9997TBF+euaeOycIT7mStb5z0TqxyKdWwNjGbI5ZyWhgTxmNEYxq5/vespXn3BmnmdQ8s5+GG6eJrv2FrS3MSq9iCGPT8wysf2PMmPO3tqYmCDOrdEFqbaU4kj49jgGHd39gCzW0m4WqZbwXj/Myf56J5DNCZiLG9poDs8oS9rSbKkuQmY30lxvkFqtjd0P+7sYeOy5tOmK3/wG49GfrTddJ9NpRcnEZH68xuv2MKu7Ruo8mCKWZmqnm4ybrQ1BjdW+RvB/M3T3171wsjUlZ2pM6gw5h0fHCOGgUFjPFbW83+5OqGilJQVkcVjaUsD565p55Gj/WzftDRcBGsFqzuaqt20KRXr2EplnaZEjGT89NgF0TuHTte59Ve3PVyVjq1yzqxS55bI3CgxGHrt+Wt464vW85LNy2a1knC1FA1MmRxnrGjlC/cfoTERm5CIyuRyDIxmWNV+6hiVOinOdhpysRN3Jpvj6RMjbMl5zY62U0ASkXJb2dZIzIyTw6mZdy6zmerfTq6nu2FpcBPwqR89Hdw8xU+/eYpSXVmYvjOoMOalsjkMwG18pkG5zv/l6oSK0mJfIrK4/N9f2UbOnYYpVpePmsKOreZknHQ2RzIeo2NSqYvCxF/UzqHTxdNNeyvfsVXumVVRS8yKRJ0Sg6HlrQ188L9cTNfJkWo3ZVqFgam1IU4qm8Mx/usrz5rQ25PXGI+dNlS/UifF2d7QFTtxPz8wRjIWK9tou0rU/lNAEpF6Mdv6ty87awWvu3ANHc1JkuENYUMiNu3NU1Tqys5kYswLRlusXdI0PuugXOf/cnVCRS0pKyKLx7lr2nn25Ahj6Wy1mzKrRR0v3bqcP0u8gM/fe5ijfSNsXNbCL7xoA1984NlpY1fUzqFTxdNqdGyVe2ZV1BKzIlGnxGBEzHal4ZefvYK2xgSf+cnPePbkyJS9PXlLWpL0DKWrdlKczQ3dVCfujUsnTikoVVCqVO0/BSQRqRcz1b/Nj6xob0wQmzTvOYo3T/OVj3n5OBOPGe5e1vN/OTuhaiUpKyIyHzN1asXMaGtKsKQ5ydZVbfzCSzZOeP3FG5dOG7tq5RxajY6tcs+sWkzXFiKVoMRgBMxmpEUyXDa+vTHBGStauXL76av2FktEJeNx3rVzMz/u7InsSbHYibshHiOVLc9Ix0rV/lNAEpF6MVX92+cHRljT0URr4/SXG7Vy8zRblTz/qxNKRGR+purU+vf7DvOmi9bR3nR6Z1ahxRS7Kt2xVYmZVYvp/0ek3JQYjIDpRlpcds7K8YTgTKtzTXcj8u4K/BwLMfnEnQ9K5bjRqWTtPwUkEakHE+rfGsTMGMvk2LKibcak4GJVqfO/OqFEROZncqeWWbAY1vHBMZa0RGfxyUqqVExRp5ZItNTn1XrEFBtp0ZyMc2xwlI3LmmdMCBZaLImocgYl1f4TESmtfP3bVDZHa0Oc0UyObA5d4FfIYon9IiKVlO/Uam1MEI8ZMTOGU5m6vyeoRExRp5ZItCgxGAGFIy3MjHjMGE1n2Ly8dU5JwcWmXEFJPVQiIqWTjMd408XrWN3RyL/+4Cld4IuISE34zZefwd9/53HS2RyJWJzhVEb3BBWkTi2R6FBiMAKuvmQTH7nzCdLZHK2NCUbSWTIaaVE26qESEVm4pmScJc3J8anCrz5/Da8+f02VWyUiIjK95oY4y1oa2LqqjWWtDbonEJG6p8RglTU3xLnqRRtYu6RJQamC1EMlIjJ3ZkZrQ5yO5iRNYV1cERGRWtCYjLOsJTmhnJDuCURElBismtbGBEsKbqwUlEREJKriMaO9KUlHU4JEPFbt5oiIiMxaUzLO0kkJQREROUVnxwoyM1ob4yxtbqAhoRsrERGJtmQ8RkdzkBCs55q3IiJSeyYPxBARkeKUGKwAM6O9KQhMSY20EBGRiJtcP1BERKQWxML7rg7dd4mIzJqu+MsoHjM6mpJ0NCeJxzTSQkREoq2lIcHSFo2uEBGR2pKIxVjSnKS9KUFM910iInOixGAZKDCJiEgtaW0MEoKNCSUERUSkdjQkgvuutkaVvBARmS8lBksoGY+xpCVJuwKTiIjUACUERUSkFrU0BGWamhsUv0REFkqJwRJIxmMsbUnS3pSsdlNERERm1NaYYIkSgiIiUkPMLIhfzUkt5CgiUkJKDC5AQyLG0pYG2lScXUREakBbY4KlLQ26oRIRkZoRjxntTUk6mhIktKCIiEjJKaM1D80NwWqNLQ36+EREJPqUEBQRkVqTjMfoaA4SgirTJCJSPspszZKZ0doQp6NZqzWKiEhtaGtKsLRZCUEREakdjck4S5uTtGpWlohIRehsO4OYGe1NCTqakyQ1dF1ERCLOzGhtjLOspUFxS0REakZrWD9QgzBERCpLicEpJOMxOpqStDcliMU0dF1ERKItX5R9aYs6skREpDZYOAhjiQZhiIhUjRKDkzQlg/qBGrouIlKfzOyNwA1AHLjZ3T846fk/Bd4efpsAzgdWuXuPmT0NDABZIOPuO8rd3phBe1NSCUEREakZcTOWtTTQ0ZwkrkEYIiJVpexXgaZknPVLm6vdDBERqRIziwMfA14HHAHuNbPd7v5Ifh93/zDw4XD/twB/5O49BYd5lbsfr1Sbl7Y0VOqtREQkomqtU2vtkqZyv4WIiMyShhaIiIiccilwyN073T0F3ApcNc3+bwM+X5GWiYiIFFHQqfUm4ALgbWZ2QeE+7v5hd9/u7tuBvwC+X6RTa3slkoIiIhItZU8MmtkbzewxMztkZu8r8vyfmtm+8PGwmWXNbHn43NNm9lD43H3lbquIiNS9DcDhgu+PhNtOY2YtwBuBLxVsduAOM7vfzK4pWytFREROUaeWiIjMW1kTg+q9EhGRGlOs0JFPse9bgB9OilmXufuLCeLeu8zsiqJvYnaNmd1nZvcdO3ZsYS0WEZF6p04tERGZt3KPGFTvlYiI1JIjwKaC7zcCXVPsezWTYpa7d4X/dgNfIYiDp3H3m9x9h7vvWLVq1YIbLSIidU2dWiIiMm/lTgyq90pERGrJvcA5ZnammTUQJP92T97JzJYArwRuK9jWambt+a+B1wMPV6TVIiJSz9SpJSIi81buVYlL0XvVZWargW+b2UF33zvhDYKE4TUAmzdvLkWbRUSkTrl7xsz+APgWwcqOn3T3A2b2++HzHw93/QXgDncfKnj5GuArZgZBfP2cu3+zcq0XEZE6Nd6pBTxLkPz7tck7FXRq/XrBtlYg5u4DBZ1a11ek1SIiEgnlTgyWrPfKzPK9V3sn7XMTcBPAjh07pko6ioiIzIq73w7cPmnbxyd9fwtwy6RtncC2MjdPRERkAnVqiYjIQpQ7MajeKxERERERkTJSp5aIiMxXWROD6r0SERERERERERGJpnKPGFTvlYiIiIiIiIiISASVe1ViERERERERERERiSBzXzzrdZjZMeBn1W5HBKwEjle7ERGnz2h29DnNjj6n6Z3h7quq3YioikDsqoXf36i3Mertg+i3Mertg+i3Mertg+i3Md8+xa0ZRCB2TRb1361iaq3NtdZeqL0211p7ofbaXGvthdm3ed6xa1ElBiVgZve5+45qtyPK9BnNjj6n2dHnJLWsFn5/o97GqLcPot/GqLcPot/GqLcPot/GqLdPplaL/3e11uZaay/UXptrrb1Qe22utfZCZdqsqcQiIiIiIiIiIiJ1SIlBERERERERERGROqTE4OJ0U7UbUAP0Gc2OPqfZ0ecktawWfn+j3saotw+i38aotw+i38aotw+i38aot0+mVov/d7XW5lprL9Rem2utvVB7ba619kIF2qwagyIiIiIiIiIiInVIIwZFRERERERERETqkBKDEWFmm8zse2b2qJkdMLP3hNuXm9m3zeyJ8N9lBa/5CzM7ZGaPmdkbCra/xMweCp/7iJlZuL3RzP493P4TM9tS8JrfDN/jCTP7zQr+6PNiZnEz+6mZfT38Xp/TJGa21My+aGYHw9+rl+tzmsjM/ij8e3vYzD5vZk36jKRWmNknzazbzB4u2BaZ31+rgbgW/s3fY2b7wzb+96i1Mdwv0jHPzJ4Oj73PzO6LWhst4vHQzF4Qfnb5R7+ZvTdibfwji3i8NLP3hO07YGbvDbdFqo1yOot4LCvS3sjHtiJtrolYV6TdkY59Rdob6VhYpL2Rjo1F2hv5WFmkzX9kEY+d49xdjwg8gHXAi8Ov24HHgQuAvwPeF25/H/Ch8OsLgP1AI3Am8CQQD5+7B3g5YMA3gDeF2/8b8PHw66uBfw+/Xg50hv8uC79eVu3PZIbP6/8DPgd8Pfxen9Ppn9H/A94Zft0ALNXnNOHz2QA8BTSH338B+C19RnrUygO4Angx8HDBtsj8/lIDcS08Xlv4dRL4CfCyKLUx3DfSMQ94Glg5aVtk2kgNxUMgDjwHnBGVNlID8RJ4IfAw0AIkgO8A50SpjXrUZiwr0t7Ix7Yiba6JWFek3ZGOfUXa+zQRjoVF2lszsbFI2yMXK4u0MfKxc0J75/IfoEflHsBtwOuAx4B14bZ1wGPh138B/EXB/t8Kf1nWAQcLtr8NuLFwn/DrBHA8/OUa3yd87kbgbdX+DKb5bDYC3wVezalAoc9p4mfUEZ6IbNJ2fU6n2rUBOByeMBPA14HX6zPSo5YewBYm3kxF9veXiMc1goTCA8BLo9RGaiDmUfxmKBJtpMbiIUEc+mGU2kgNxEvgl4GbC77/a+DPotRGPab9vd9CjcSyIm2PdGwr0t5Ixroi7Yx87CvS5qeJaCws0taaio1F2h+5WFmkjZGPnYUPTSWOoHAI6IsIenPWuPtRgPDf1eFu+V+0vCPhtg3h15O3T3iNu2eAPmDFNMeKqn8kuNjLFWzT5zTRVuAY8CkLhuDfbGat6HMa5+7PAv8HeAY4CvS5+x3oM5LaFsnf3yjHNQumKu0DuoFvu3vU2viPRD/mOXCHmd1vZtdErI21Fg+vBj4ffh2JNtZIvHwYuMLMVphZC/BmYFPE2iizVxP/b1GObUXaGvVYN9k/Ev3YN1mUY+FktRYbJ4tcrJysRmLnOCUGI8bM2oAvAe919/7pdi2yzafZPt/XRIqZXQl0u/v9s31JkW2L/nMi6DF4MfAv7v4iYIhgqPJU6u5zCus5XEUwVHs90Gpmvz7dS4psW9SfkSwqVfv9jXpcc/esu28nGJ1wqZm9MCptrKGYd5m7vxh4E/AuM7siQm2smXhoZg3ALuA/pmlfxdtYC/HS3R8FPgR8G/gmwXSsTJTaKCURmf+3qMe203aKcKw77c1rJ/ZNFuVYOFnNxMbTGhLRWHnam9dA7CykxGCEmFmSIMB81t2/HG5+3szWhc+vI+jlgSDru6ng5RuBrnD7xiLbJ7zGzBLAEqBnmmNF0WXALjN7GrgVeLWZfQZ9TpMdAY6EvYEAXyQ4+etzOuW1wFPufszd08CXgVegz0hqW6R+f2sprrn7SWAP8MYItbEmYp67d4X/dgNfAS6NUBtrKR6+CXjA3Z8Pv49KG2siXrr7J9z9xe5+RfjaJ6LWRpm1SP+/1VJsmyyisW6ymoh9k0U8Fk5WS7FxsqjGyslqInaOm26esR6VexBkdT8N/OOk7R9mYnHKvwu/vpCJxSk7OVWc8l6CgrJGUJzyzeH2dzGxOOUXwq+XE9QYWBY+ngKWV/szmcVntpNTNSf0OZ3++fwAeEH49QfCz0if06nP56XAAYJaK0ZQgPcP9RnpUUsPTq/LFJnfX2ogrgGrgKXh180E580ro9TGgrbuJIIxD2gF2gu+/hHBDWeU2lgT8ZDgBvi3o/a3Qo3ES2B1+O9m4GC4f6TaqEftxbIibY18bCvS5pqJdUXavpMIxr4i7Yx8LCzS5pqIjUXaHclYWaSdNRE7x9s72/8APcr7AC4nGN75ILAvfLyZYI74dwl6Pb9b+B8K/CXBajWPEa5ME27fQVBr5UngoxAUFQWaCIbcHiJY2WZrwWt+J9x+qPAPLcoPJgYKfU6nfz7bgfvC36mvhicFfU4TP6P/TnDz8DDwbwQnYn1GetTEg6C2ylEgTdAz+LtR+v2lBuIacDHw07CNDwPXhdsj08aCfXcSwZhHUKdof/g4APxlBNu4nYjHQ4IbhxPAkoJtkWkjNRAvCW5yHyH4XXxN1D5DPab8f4t0LCvS3sjHtiJtrplYV6TtO4lg7CvSzsjHwiJt3k7EY2ORNkc6VhZpb+RjZ/6RP6CIiIiIiIiIiIjUEdUYFBERERERERERqUNKDIqIiIiIiIiIiNQhJQZFRERERERERETqkBKDIiIiIiIiIiIidUiJQRERERERERERkTqkxKDILJjZYLXbMBUzu9nMLqh2O0REZHEws6yZ7TOzh83sa2a2tMTHj2xMFREREak3SgyKVImZJUpxHHd/p7s/UopjiYiIACPuvt3dXwj0AO+qdoNERGRxM7M9ZvaGSdvea2adZva+KV5TkY6msG07KvFeItWgxKDIHJjZTjP7vpl9wcweN7MPmtnbzeweM3vIzM4K97vFzD5uZj8I97sy3P5bZvYfZvY14A4zazWzT5rZvWb2UzO7KtzvwvCY+8zsQTM7J9z3P81sfziK41fDfccDlZm9LWzHw2b2oYJ2D5rZ/wxfe7eZrQm3/3K4734z21vhj1NERKLvx8AGADM7y8y+aWb3h/HtvHD7W8zsJ2Ec+05BjGkzs0+FcelBM/vF/EGLxSQREalrnweunrTtauA33f2DVWiPSN1QYlBk7rYB7wEuAt4BnOvulwI3A39YsN8W4JXAzwMfN7OmcPvLCQLcq4G/BO5090uAVwEfNrNW4PeBG9x9O7ADOAK8Eehy923hKI5vFjbKzNYDHwJeDWwHLjGzt4ZPtwJ3u/s2YC/we+H264A3hNt3LexjERGRxcTM4sBrgN3hppuAP3T3lwB/AvxzuP0u4GXu/iLgVuDPwu1/DfS5+0XufjFwZ7h9qpgkIiL164vAlWbWCGBmW4D1wNlm9tFw25lm9uNwUMXfFr7YzP403P6gmf33gu3/XzgQ4mEze+9Ub25mW8zsoJn9v/AYXzSzliL7/YuZ3WdmB/LvY2avMbOvFOzzOjP7spnFwwEjD4edZH+0oE9IpEyUGBSZu3vd/ai7jwFPAneE2x8iSAbmfcHdc+7+BNAJnBdu/7a794Rfvx54n5ntA/YATcBmghEa7zezPwfOcPeR8PivNbMPmdnPuXvfpHZdAuxx92PungE+C1wRPpcCvh5+fX9BO38I3GJmvwfE5/VpiIjIYtMcxqUTwHLg22bWBrwC+I/wuRuBdeH+G4FvmdlDwJ8CF4bbXwt8LH9Qd+8Nv5wqJomISJ1y9xPAPQSDISAYLfjvgBfsdgPwL+GgiufyG83s9cA5wKUEAyReYmZXmNlLgN8GXgq8DPg9M3vRNM14AXBT2JnVD/y3Ivv8pbvvAC4GXmlm+Y6v881sVbjPbwOfCtuywd1f6O4XhdtEIkeJQZG5Gyv4OlfwfQ4orBtYGMQKvx8q2GbAL4a1nLa7+2Z3f9TdP0cwgm+E4Gbr1e7+OPASggTh/zaz6yYd36Zpc9rd8++fzbfT3X8f+CtgE7DPzFZMcwwREakPI+GI9TOABoIagzHgZEG82u7u54f7/xPw0fCm51qCTi4I4tLkWAhTxCQREal7hdOJrw6/L3RZwbZ/K9j++vDxU+ABggEZ5wCXA19x9yF3HwS+DPzcNO9/2N1/GH79mfD1k/2KmT0QvteFwAVhTPs34NctWLDr5cA3CAaHbDWzfzKzNxIkG0UiR4lBkfL5ZTOLhXUHtwKPFdnnW8AfmpkB5HuwzGwr0OnuHyGYwnVxOFV42N0/A/wf4MWTjvUTgl6rleH0r7cB35+ugWZ2lrv/xN2vA44TJAhFREQIR6a/m2Da8AjwlJn9MoAFtoW7LgGeDb/+zYJD3AH8Qf4bM1tW9kaLiEgt+yrwGjN7MdDs7g8U2adYh5MB/7ug4+psd/8E0w+cKGaqgR3Bm5idSRATXxOOKvxPTnWGfQr4dYJ7sP9w90w4Un4bwcywdxGUnhKJHCUGRcrnMYLE3DeA33f30SL7/C2QBB40s4fD7wF+FXg4nK51HvBpgpqG94Tb/hL4H4UHcvejwF8A3wP2Aw+4+20ztPHD+cVKCOo87Z/rDykiIouXu/+UIDZcDbwd+F0z2w8cAK4Kd/sAwRTjHxB0MuX9D2BZfpErglq6IiIiRYWj+vYAn+T00YIQlEHKjyh8e8H2bwG/E5a9wMw2mNlqgvubt5pZS1jH/ReAH0zThM1m9vLw67cR1NAt1EEw+6svXDjrTQVt7wK6CGZj3RK2YyUQc/cvEdTdnTywQyQS7NRMDhEpFTO7Bfi6u3+x2m0RERERERGpBWb2CwRTfs9394Nm9lvADnf/g3DE3ucISlB8Cfgrd88nA98DvDM8zCDw6+7+pJn9f8DvhNtvdvd/nOJ9twC3EyQTXwE8AbzD3YfNbA/wJ+5+X3if91KCacJjwG53vyU8xtXAe939ZeH32whGEuYHZP2Fu39jYZ+QSOkpMShSBkoMioiIiIiI1IYwMfh1d3/hAo7xUeCn4TRmkZqhYs8iZeDuv1XtNoiIiIiIiEj5mdn9BNOM/7jabRGZK40YFBEREREREZFFz8xWAN8t8tRr3P1EpdsjEgVKDIqIiIiIiIiIiNQhrUosIiIiIiIiIiJSh5QYFBERERERERERqUNKDIqIiIiIiIiIiNQhJQZFRERERERERETqkBKDIiIiIiIiIiIidUiJQRERERERERERkTqkxKCIiIiIiIiIiEgdUmJQRERERERERESkDikxKCIiIiIiIiIiUoeUGJSyMrOfM7PHZrnvTjM7UsL33mNm7wy/fruZ3TGL13zAzD5TqjaIiIiIiIhUylzuv0r4nh83s7+u5HuKSOkoMSglYWZPm9lrJ2939x+4+wuq0aZJ7fisu7++2u2YjzDB2WtmjdVuSzFm9ltmdle12zEVM7vFzP5HtdshItURxqcRMxsseHy02u2KiqnidxnfTzFtARTTRCSvWvdfxc6T7v777v635XrPclFMWhjFpMVDiUGRCDOzLcDPAQ7sqm5rRERq1lvcva3g8QfVblA9UkwTEZGoUEwSOUWJQSmrydODw56tPzGzB82sz8z+3cyapnjtu83sETPbOMN7XGVm+8ys38yeNLM3FtlnQm+LmV1oZt82sx4ze97M3l/kNUkz+7yZfcnMGszsUjO7L3yf583s76doz6NmdmXB9wkzO25mLzazJjP7jJmdMLOTZnavma2Z5sf7DeBu4BbgNye9zy1m9s9m9o1wBMwPzWytmf1j2PN10MxeVLD/+WGv2EkzO2BmuwqeG592PcXn5Wb2+2b2RHjsj1ngfODjwMvDNpyc5mfBzN4c/p8OmNmzZvYn4fadZnbEzN4fflZPm9nbC17XaGb/x8yeCT/7j5tZ86TX/rGZdZvZUTP77fC5a4C3A38Wtu9r07VPROpL/lwXnl96zewpM3tTwfNnmtne8Jz1nfDc95mC5//DzJ4L49leM7uw4LkVZva1MGbca2b/Y9J59byCOPSYmf1KwXNzPb+vD2PVsfBneHfBcx8wsy+Y2afDn+OAme0In/s3YDPwtfB9/qzIZ6SYNgXFNBGJIiu4/zKz95nZFyc9f4OZfST8eomZfSI81zwbxqr4NMcuep60gpFjBeexPys4j701PGc+Hsa99xccMxa288kwnnzBzJZP8f6KSVNQTJKFUGJQquFXgDcCZwIXA781eQcLalT8FvBKd5+y7qCZXQp8GvhTYClwBfD0dG9uZu3Ad4BvAuuBs4HvTtqnGfgqMAb8irungBuAG9y9AzgL+MIUb/F54G0F378BOO7uDxAEnSXAJmAF8PvAyDTN/Q3gs+HjDUWC268AfwWsDNv6Y+CB8PsvAn8f/jxJ4GvAHcBq4A+Bz5rZXKYZXAlcAmwL3/cN7v5o+DP8OByFs3SGY3wCuNbd24EXAncWPLc2bPcGgs/ppoL2fQg4F9hO8P+1Abhu0muXhNt/F/iYmS1z95sIPru/C9v3ljn8vCJSH14KPEZw/vk74BNmZuFznwPuIThffwB4x6TXfgM4h+C8+gDB+SbvY8AQwfnpNym46TCzVuDb4fFXE8SMf7aCxCKzP7/HCM7v+wnOga8B3mtmbyg41i7gVoI4uRv4KIC7vwN4hlMjKv+uyOejmDY1xTQRibrPA282sw6AMOn3KwTxB+D/ARmCc9GLgNcD7yxyHADmcJ5cCzRx6vz2r8CvAy8hGKV3nZltDfd9N/BW4JUE92a9BDF0qp9HMak4xSSZt0WZGDSzT4YZ7Ydnse9mM/uemf3UglFsb65EG+vcR9y9y917CE6i2wueMwtG4r0BeJW7H5vhWL8LfNLdv+3uOXd/1t0PzvCaK4Hn3P3/uvuouw+4+08Knu8gSBo+Cfy2u2fD7WngbDNb6e6D7n73FMf/HLDLzFrC73+NU8E3TRCoznb3rLvf7+79xQ5iZpcDZwBfcPf7w/b82qTdvhIeYxT4CjDq7p8O2/zvBAEe4GVAG/BBd0+5+53A15kYWGfyQXc/6e7PAN9j4v/bbKWBC8ysw917wyBe6K/dfczdvw/8J/Ar4Q367wF/5O497j4A/C/g6knHvd7d0+5+OzAIVL22pchsKW6V3VfDXvz84/cKnvuZu/9reN78f8A6YI2ZbSa4SL8uPG/eRZBUG+funwxjyBhB4nCbBaMv4sAvAn/j7sPu/kh47Lwrgafd/VPungnPhV8Cfqlgn9me3y8BVrn79WE7OwluwArPkXe5++3ha/+N4MZjthTTpqaYJnVNsSv63P1nBMmst4abXg0Mu/vdYSLsTcB73X3I3buBf2Di+Wi+0sD/dPc0QcfUSoIBFgPufgA4QDBABOBa4C/d/UhBPP0lM0sUOa5i0tQUk2TeFmVikGA48GnTSafwVwQnhBcR/AH8c7kaJeOeK/h6mOBEmrcUuAb43+7eN4tjbSI4kc/FTK95GUGg+qC7e8H23yXoTTlowdD0K4u92N0PAY8CbwmD1i5OBax/A74F3GpmXWb2d2EvUzG/Cdzh7sfD7z/HpGHuwPMFX48U+T7/2a4HDrt7ruD5nxH0/MzWdP9vs/WLwJuBn5nZ983s5QXP9br70KT2rQdWAS3A/fmbeoLE7aqCfU+4e6YE7ROplltQ3Cqnt7r70oLHvxY8N35uc/fh8Ms2gvNPT8E2gMP5L8wsbmYftGDqUz+nRquvJDg/JQr3n/T1GcBLC5OVBNNx1hbsM9vz+xnA+knHej9QOPJh8vm7aYobrtMopk1LMU3q3S0odtWCz3EqSVWYSDsDSAJHC85HNxKMeluoEwWDK/Kj9qaLY18paMOjQJaJcQxQTJqBYpLM26wuCmuNu++1oJjoODM7i2BI8iqCX+bf82BkmROMEINgiGxXBZsqp+slGGb+BTP7BXf/4Qz7HyaY1jsXh5m+B+cO4EHgu2a2092fB3D3J4C3hdO2/gvwRTNbMekkm5cf5h4DHgmDGGGv2X8H/nv4O3o7wRS2TxS+2IKpzL8CxM0sHygagaVmts3d98/xZ+4CNplZrCBobQYeD78eIggKeYU3pzPxmXcJd3S/F7gqDNJ/QDAde1P49DIzay34PDcDDwPHCYLvhe7+7BzaNef2iVSL4lYkHQWWm1lLQXJwU8HzvwZcBbyWICm4hCCGGXCMYGrWRk6dZwtfexj4vru/rgTtPAw85e7nzPP1szlHKqYV21ExTeqcYlfN+A/g/1pQt/0XgHzC6DDBFNmVkxI/Myn1eegw8DuzuO/LU0wqtqNikizAYh0xWMxNwB+6+0uAP+FUL9UHgF+3oEDr7QQ1AWR+khYUfc0/5pV4dvc9BCMnvmJmL51h908Av21mr7GgcO0GMztvhtd8HVhrZu+1oNhq++T38aDO0ucIkoMrAczs181sVXjCPxnumqW4WwlqdPxXTvViYWavMrOLwmlm/QRDs4sd463h9gsIhpJvB84HfkBQD2OufkIQlP7MgkVVdgJvCdsJsA/4L2bWYmZnE4yOnK3ngY1m1jDdThYs4PJ2M1sSBu5+Tv/Z/3u4388RTLX7j/Dz/lfgH8xsdXisDTaxftZM7ds6414i0aO4VUXh9Kv7gA+E56WXE5w389oJbqhOEFzw/6+C12aBL4evbQnjUuG5++vAuWb2jvCcnDSzSywoND5X9wD9ZvbnZtYcjmR8oZldMsvXz+YcqZg2iWKayJQUuyprxvsvD0oz7QE+RdCR9Gi4/SjBgIj/a2Yd4b3UWWb2yhnec1bnyTn4OPA/zewMADNbZWZXTbO/YtIkikmyUHWRGDSzNuAVwH+Y2T6CIdLrwqffBtzi7hsJht7+mwUjwmTubifoccg/PjDfA7n7t4HfBnab2Uum2e+ecL9/APqA7xMMR5/u2APA6whO2M8BTwCvKrLf3xIsQPIdC1bGeiNwwMwGCRYiuTqsOVHsPY4SFKh9BUENiry1BMVq+wmGwX8f+MxpBwiGsn/K3Z9x9+fyD4KC8W+fa9LVg8VTdhHUETlOcJH2G36qHuM/ACmCk/v/Y2IB/ZncSVAn5DkzOz7Dvu8AnrZg2t3vE4wOzXuOYLRNV/j+v1/Qvj8HDgF3h6/9DrOvbfEJgnobJ83sq7N8jUhVKW6VXH7V3fzjK7N83dsJRlacAP4Hwfl8LHzu0wRTcZ4FHiFY2bDQHxCMinmOYHrT5/OvDePQ6wmm03WF+3yIYMTCnIRJyLcQ3Ng8RXCOvzl879n438BfhefIP5niPRTTilNMEymg2FUVs73/+hzBCPfPTdr+G0ADQRzrJTinr2N6czlPzsYNBDV87zCzAYJ4OuXgEMWkKSkmybzZxBJqi4cFw4e/7u4vtGAVpsfc/bSTnJkdAN7o7ofD7zuBl3lQfFVEKiDsWftMeLEoUpcUt6LPzP4dOOjufzOP134IWOvuk2sYySKjmCb1RLFLJNoUk2Q26qKXxoPViJ4ys1+GYNlbM8uvyPcM8Jpw+/kEy6rPtBKuiIhI2ShuRUM4vfescHrVGwlqCn51lq89z8wuDv/vLiWYOjTbkYoiIjVHsUtEpDYtysSgmX2eYHjxC8zsiJn9LsF0oN81s/0Ew3HzdQv+GPi9cPvngd/yxTqMskaZ2fsnTQHLP75R7bbJ6czswBT/X2+vdttEokpxK7LWEtRlGgQ+AvxXd//pLF/bTlBncIigAPj/BW4rQxuljBTTRKam2LV4mdnHpzj3fbzabatniklSLot2KrGIiIiIiIiIiIhMbVGOGBQREREREREREZHpKTEoIiIiIiIiIiJSh+a0FHepmNkm4NMEtXtywE3ufkOR/XYC/wgkgePu/srpjrty5UrfsmVLiVsrIiILcf/99x9391XVbsdCKXaJiNSHxRK3ykmxS0QkWhYSu6qSGAQywB+7+wNm1g7cb2bfdvdH8juY2VLgnwmWtX/GzFbPdNAtW7Zw3333la3RIiIyd2b2s2q3oUQUu0RE6sAiiltlo9glIhItC4ldVZlK7O5H3f2B8OsB4FFgw6Tdfg34srs/E+7XXdlWioiInKLYJSIiIiIii03Vawya2RbgRcBPJj11LrDMzPaY2f1m9hsVb5yIiEgRil0iIiIiIrIYVGsqMQBm1gZ8CXivu/dPejoBvAR4DdAM/NjM7nb3xycd4xrgGoDNmzeXv9EiIlLXFLtERERERGSxqNqIQTNLEtxYfdbdv1xklyPAN919yN2PA3uBbZN3cveb3H2Hu+9YtUo1gkVEpHwUu0REREREZDGpSmLQzAz4BPCou//9FLvdBvycmSXMrAV4KUE9JxERkYpT7BIRERERkcWmWlOJLwPeATxkZvvCbe8HNgO4+8fd/VEz+ybwIJADbnb3h6vRWBERERS7RERERERkkalKYtDd7wJsFvt9GPhw+VskIiIyPcUuERERERFZbKq6+Ei92XOwmxv3dnK4d5hNy1q49oqt7DxvdbWbJSIiIpMoZouIiIiUl663oqFqi4/Umz0Hu7lu9wG6B0ZZ2pyke2CU63YfYM/B7mo3TURERAooZouIiIiUl663okOJwQq5cW8nybjR0pDALPg3GTdu3NtZ7aaJiIhIAcVsERERkfLS9VZ0KDFYIYd7h2lOxidsa07GOdI7XKUWiYiISDGK2SIiIiLlpeut6FBisEI2LWthJJ2dsG0knWXjspYqtUhERESKUcwWERERKS9db0WHEoMVcu0VW0lnneFUBvfg33TWufaKrdVumoiIiBRQzBaRWmJmm8zse2b2qJkdMLP3FNlnp5n1mdm+8HFdwXNvNLPHzOyQmb2vsq0XkXql663o0KrEFbLzvNVcTzCP/kjvMBu14o6IiEgkKWaLSI3JAH/s7g+YWTtwv5l9290fmbTfD9z9ysINZhYHPga8DjgC3Gtmu4u8VkSkpHS9FR1KDFbQzvNW65dcRESkBihmi0itcPejwNHw6wEzexTYAMwmuXcpcMjdOwHM7Fbgqlm+VkRkQXS9FQ2aSiwiIiIiIrIImNkW4EXAT4o8/XIz229m3zCzC8NtG4DDBfscCbeJiEid0IhBERERERGRGmdmbcCXgPe6e/+kpx8AznD3QTN7M/BV4BzAihzKpzj+NcA1AJs3by5Vs0VEpMo0YlBERERERKSGmVmSICn4WXf/8uTn3b3f3QfDr28Hkma2kmCE4KaCXTcCXcXew91vcvcd7r5j1apVJf8ZRESkOpQYFBERERERqVFmZsAngEfd/e+n2GdtuB9mdinBfeAJ4F7gHDM708wagKuB3ZVpuYiIRIGmEouIiIiIiNSuy4B3AA+Z2b5w2/uBzQDu/nHgl4D/amYZYAS42t0dyJjZHwDfAuLAJ939QIXbLyIiVaTEoIiIiIiISI1y97soXiuwcJ+PAh+d4rnbgdvL0DQREakBmkosIiIiIiIiIiJSh5QYFBERERERERERqUNKDIqIiIiIiIiIiNQhJQZFRERERERERETqkBKDIiIiIiIiIiIidUiJQRERERERERERkTqkxKCIiIiIiIiIiEgdqkpi0Mw2mdn3zOxRMztgZu+ZZt9LzCxrZr9UyTaKiIgUUuwSEREREZHFJlGl980Af+zuD5hZO3C/mX3b3R8p3MnM4sCHgG9Vo5EiIiIFFLtERERERGRRqcqIQXc/6u4PhF8PAI8CG4rs+ofAl4DuCjZPRETkNIpdIiIiIiKy2FS9xqCZbQFeBPxk0vYNwC8AH69Cs0RERKak2CUiIiIiIotBVRODZtZGMKrive7eP+npfwT+3N2zMxzjGjO7z8zuO3bsWJlaKiIiElDsEhERERGRxaJaNQYxsyTBjdVn3f3LRXbZAdxqZgArgTebWcbdv1q4k7vfBNwEsGPHDi9ro0VEpK4pdomIiIiIyGJSlcSgBXdMnwAedfe/L7aPu59ZsP8twNcn31iJiIhUimKXiIiIiIgsNtUaMXgZ8A7gITPbF257P7AZwN1Vm0lERKJGsUtERERERBaVqiQG3f0uwOaw/2+VrzUiIiIzU+wSEREREZHFpuqrEouIiIiIiIiIiEjlKTEoIiIiIiIiIiJSh5QYFBERERERERERqUNKDIqIiIiIiIiIiNQhJQZFRERERERERETqkBKDIiIiIiIiIiIidUiJQRERERERERERkTqkxKCIiIiIiIiIiEgdUmJQRERERESkRpnZJjP7npk9amYHzOw9RfZ5u5k9GD5+ZGbbCp572sweMrN9ZnZfZVsvIiLVlqh2A0RERERERGTeMsAfu/sDZtYO3G9m33b3Rwr2eQp4pbv3mtmbgJuAlxY8/yp3P17BNouISEQoMSgiIiIiIlKj3P0ocDT8esDMHgU2AI8U7POjgpfcDWysaCNFRCSyNJVYRERERERkETCzLcCLgJ9Ms9vvAt8o+N6BO8zsfjO7pozNExGRCNKIQRERERERkRpnZm3Al4D3unv/FPu8iiAxeHnB5svcvcvMVgPfNrOD7r63yGuvAa4B2Lx5c8nbLyIi1aERgyIiIiIiIjXMzJIEScHPuvuXp9jnYuBm4Cp3P5Hf7u5d4b/dwFeAS4u93t1vcvcd7r5j1apVpf4RRESkSpQYFBERERERqVFmZsAngEfd/e+n2Gcz8GXgHe7+eMH21nDBEsysFXg98HD5Wy0iIlGhqcQiIiIiIiK16zLgHcBDZrYv3PZ+YDOAu38cuA5YAfxzkEck4+47gDXAV8JtCeBz7v7NirZeRESqSolBERERERGRGuXudwE2wz7vBN5ZZHsnsK1MTRMRkRqgqcQiIiIiIiIiIiJ1SIlBERERERERERGROqTEoIiIiIiIiIiISB1SjUEREREREREREamoPQe7uXFvJ4d7h9m0rIVrr9jKzvNWV7tZdacqIwbNbJOZfc/MHjWzA2b2niL7vN3MHgwfPzIzFcUVEZGqUewSERERESmNPQe7uW73AboHRlnanKR7YJTrdh9gz8Huajet7lRrKnEG+GN3Px94GfAuM7tg0j5PAa9094uBvwVuqnAbRURECil2iYiIiIiUwI17O0nGjZaGBGbBv8m4cePezmo3re5UJTHo7kfd/YHw6wHgUWDDpH1+5O694bd3Axsr20oREZFTFLtERERERErjcO8wzcn4hG3NyThHeoer1KL6VfXFR8xsC/Ai4CfT7Pa7wDemeP01Znafmd137NixMrRQRERkIsUuEREREZH527SshZF0dsK2kXSWjctaqtSi+lXVxKCZtQFfAt7r7v1T7PMqgpurPy/2vLvf5O473H3HqlWrytdYERERFLtERERERBbq2iu2ks46w6kM7sG/6axz7RVbq920ulO1VYnNLElwY/VZd//yFPtcDNwMvMndT1SyfVJZWo1IRGqBYpeILHa6JhMRkUrYed5qrieoNXikd5iNijlVU5XEoJkZ8AngUXf/+yn22Qx8GXiHuz9eyfZJZeVXI0rGbcJqRNeDTgoiEhmKXSKy2OmaTEREKmnneasVXyKgWiMGLwPeATxkZvvCbe8HNgO4+8eB64AVwD8H92Jk3H1H5Zsq5Va4GhFAS0OC4VSGG/d26iQhIlGi2CUii5quyURERCrrI995nJvveoqhVJbWhjjvvPxM3v3acyvahqokBt39LsBm2OedwDsr0yKppsO9wyxtTk7YptWIRCRqFLtEZLHTNZmIiEjlfOQ7j3PDnYeIGSRiweIrN9x5CKCiycGqr0osotWIRERERKpP12QiIiKVc/NdT4VJwRgxi4X/BtsrSYlBqTqtRiQiIiJSfbomExERqZyhVJbYpPlIMQu2V5ISg1J1O89bzfW7LmR1exN9I2lWtzdx/a4LVctGREREpIJ0TSYiIlI5rQ1xcj5xW86D7ZVUrcVHRCbQakQiIiIi1adrMhERkcp45+VncsOdh8jkcsQsSArmPNheSRoxKCIiIiIiIiIiUkHvfu257Lp4LTmHsYyTc9h18dr6WJVYqmvPwW5u3NvJ4d5hNi1r4dortpa9Z7ga7ykiC+fumE27EK9IWShuiMye/l5ERERqz56D3dz/TB9bVrTQnIwzks5y/zN97DnYXdE4rhGDdWbPwW6u232A7oFRljYn6R4Y5brdB9hzsHtRvaeIzJ+70z+a5kjvcMUL34qA4obIXOjvRUREpDbduLeTZNxoaUhgFvybjBs37u2saDuUGKwz1fjFi8ovu4hML5XJcWJwjJ+dGOb4wBipTK7aTZI6pbghMnv6exEREalNh3uHaU5OXGikORnnSO9wRduhqcR15nDvMEubkxO2lfsXrxrvKSKz4+4Mp7L0j6YZ0ehAiQjFDZHZ09+LiIhIbdq0rIWnjg8yMJohlc3REI/R3pTgzJVtFW2HRgzWmU3LWhhJT7z5H0ln2bisZVG9p4hML5PN0TuU4nDPCM/3jyopKJGiuCEye/p7ERERqU0v37qcY4MpUtlgVeJUNsexwRQv37q8ou1QYrDOXHvFVtJZZziVCUcKZUhnnWuv2Lqo3lNEihtJZXm+f5TDvSP0DqfI5DRdWKJHcUNk9vT3IiIiUpt+3NnD6vYGGuIxcg4N8Rir2xv4cWdPRduhxGCd2Xneaq7fdSGr25voG0mzur2J63ddWNYVb6rxniJySi7n9A2nOdwzzNG+EYbGgptHkahS3BCZPf29iJltMrPvmdmjZnbAzN5TZB8zs4+Y2SEze9DMXlzw3BvN7LHwufdVtvUiIvXrcO8wK1ob2bqqjfPWdrB1VRsrWhtVY1DKb+d5qyt+sViN9xSpd2OZLP0jGQaVCJQapLghMnv6e6l7GeCP3f0BM2sH7jezb7v7IwX7vAk4J3y8FPgX4KVmFgc+BrwOOALca2a7J71WRETKYNOyFroHRmlpOJWaq0Y5ECUGJfL2HOzmxr2dHO4dZtOyFq69YqsufkWm4O4MjmXoH80wllbdQJFyUWwSkahw96PA0fDrATN7FNgAFCb3rgI+7UFP4d1mttTM1gFbgEPu3glgZreG+yoxKCJSZtdesZXrdh9gOJWhORlnJJ2tSjkQTSWWSNtzsJvrdh+ge2CUpc1JugdGuW73AfYc7K5200QiJZ3NcWJwjGd6hjk2MKakoEgZKTaJSFSZ2RbgRcBPJj21AThc8P2RcNtU20VEpMyiUg5EIwYl0m7c20kybuNDa1saEgynMty4t1MjM0SAobEMA6MZhlOZajdFpG4oNolIFJlZG/Al4L3u3j/56SIv8Wm2Fzv+NcA1AJs3b15AS0VEJC8K5UCUGJQFKfdUqsO9wyxtTk7Y1pyMV7wYp0iUZHPOwGia/pGMVhUWqQLFJpmOpplLNZhZkiAp+Fl3/3KRXY4Amwq+3wh0AQ1TbD+Nu98E3ASwY8cOFS8WEVkkNJVY5q0SU6k2LWthZNKUyGoU4xSJgtF0lu7+UZ7pGaZnKKWkoEiVKDbJVDTNXKrBzAz4BPCou//9FLvtBn4jXJ34ZUBfWJvwXuAcMzvTzBqAq8N9RUSkTigxKPNWOJXKLPg3GTdu3NtZsve49oqtpLPOcCpYVXU4lalKMU6RasnlnL6RNEd6h+k6OaIVhkUiQLFJplKJayORIi4D3gG82sz2hY83m9nvm9nvh/vcDnQCh4B/Bf4bgLtngD8AvgU8CnzB3Q9U/CcQEZGq0VRimbdKTKXaed5qrie40D7SO8xGTcmROjGWyTIwmmFwNENOiUCRSFFskqlomrlUg7vfRfFagYX7OPCuKZ67nSBxKCIiFRaFEiRVSQya2Sbg08BaIAfc5O43TNrHgBuANwPDwG+5+wOVbqtMbdOyFroHRseLr0N5plJFoRinSCW4O0OpLP0jaUa1qnDkKHZJIcUmKaZS10YiIiJS+/IlSJJxm1CC5Hqo6HVmtaYSZ4A/dvfzgZcB7zKzCybt8ybgnPBxDfAvlW2izERTqURKI5PN0TOU4pmeYbr7R5UUjC7FLhGZlq6NREREZLaiUoKkKolBdz+aH0Hh7gME9Sw2TNrtKuDTHrgbWGpm6yrcVJnGzvNWc/2uC1nd3kTfSJrV7U1cv+tCjaAQmaXhVIbnw8VETg6nyOY0ZTjKFLtEZCa6NhIREZHZOtw7THMyPmFbNUqQVL3GoJltAV4E/GTSUxuAwwXfHwm3Ha1My2Q2NJVKZG6yOWdwNEP/aJp0VqsK1yrFLhGZiq6NREREZDaiUoKkqqsSm1kb8CXgve7eP/npIi85bTiNmV1jZveZ2X3Hjh0rRzNFRBZsNJ2leyAYHXhiaExJwRqm2CUiIiIiIgsVlRIkVUsMmlmS4Mbqs+7+5SK7HAE2FXy/EeiavJO73+TuO9x9x6pVq8rTWBGReXB3+kfTPHtyhK6TIwyOBid8qV2KXSIiIiIiUgo7z1vNL714A8cGxnj0uQGODYzxSy/eUPGZB1VJDIarNn4CeNTd/36K3XYDv2GBlwF97q6pWCISealMjhODYzzTM8zxgTHGtJjIoqDYJSIiIiIipbLnYDdffOBZVrU3cv7adla1N/LFB55lz8HuirajWjUGLwPeATxkZvvCbe8HNgO4+8eB24E3A4eAYeC3K99MEZHZGxoLageOpJQIXKQUu0REREREpCTyqxI3J+PjqxIPpzLcuLezoqMGq5IYdPe7KF6HqXAfB95VmRaJiMxPJptjYDTDwGiGTE51AxczxS4RERERESmVn/UM0d6YIJ11GhLBbUZdrkosi9Oeg93cuLeTw73DbFrWwrVXbNUKfbKojKSyDIymGUplVTdQpIYoPomIiIhINQ2OZegbSbO6rYkjvUMMpbJkck5DPEZ7U4IzV7ZVtD0LrjFoZv82m21SP/Yc7Oa63QfoHhhlaXOS7oFRrtt9oOLz5EVKLb+YyOGeYY72jTA4psVEapHiVv1SfBKRqFOMEhFZnNydvpHgXrK7f5SxdJYXbVpCz3CadDZHzCCVzXFsMMXLty6vaNtKMWLwwsJvzCwOvKQEx5UalZ8n39IQ/HpVa568SKlkc07/SJr+0TTZnBKBi4DiVp1SfBKRGqAYJSJ14yPfeZyb73qKoVSW1oY477z8TN792nOr3aySmu5e8qeH+1jRmmRw7NSIwY7mBD/u7OHdFWzjvBODZvYXBEXXm82sP78ZSAE3laBtUqMO9w6ztDk5YVs15smLLFQmm+PkSJqBUY0MXAwUt0TxSUSiSjFKROrNR77zODfceYiYQSIGI+ksN9x5CGBRJAfT2Rx9M9xLHu0fYWlLA8tbYzQkggm97l7xa9N5TyV29//t7u3Ah929I3y0u/sKd/+LErZRasymZS2MpCeuyjqSzrJxWUuVWiQyN6lMju6BUQ73jtA/klZScJFQ3BLFJxGJKsUoEak3N9/1VJgUjBGzWPhvsL2WjWWydA+McmQW95LrOpoZTU9cwLIa16YLrjHo7n9hZhvM7BVmdkX+UYrGSW269oqtpLPOcCrIjA+nMqSzzrVXbK1200SmNZrO8nz/KEd6hxnUKMFFS3Grfik+iUjUKUaJSL0YSmWJ2cRtMQu216KRVJajfSM82zsy63vJqy/ZRCbnjKSre2264BqDZvZB4GrgESD/P+jA3oUeW2rTzvNWcz1BLacjvcNs1KqPEnEjqSwnR1KM1GgQkrlR3Kpfik8iEnWKUSJSL1ob4oykJyYHcx5srxXuPr7CcCqTm/kFk1y6dTnv4Ry+cN9hjg2OVe3atBSLj/wC8AJ3HyvBsWQGew52c+PeTg73DrMpwjc0O89bHcl2iRQaTmXoHU4zllZCsM4oblVAVOOV4pOIRJxilIjUhXdefiY33HmITC5YkTfnweOdl59Z7abNyN3pH83QPxKsKLwQl25dzuXnrqxqaZsFTyUGOoHkjHvJgu052M11uw/QPTDK0uYk3QOjXLf7AHsOdle7aSI1ZXAsw5HeYZ7rG1VSsD4pbpWZ4pWIyLwpRolIXXj3a89l18VryTmMZZycw66L10Z64ZFczukbTvNMzzAnBscWnBSMilKMGBwG9pnZd4Hxni13r+TqynXhxr2dJONGS0Pw39bSkGA4leHGvZ0a/SAyA3dnYCxD3/DCe3Wk5ilulZnilYjIvClGiUhd2HOwm/uf6WPLihaak8G04vuf6WPPwe7IXS/mck7/aJq+kTTZXOnr0D/bO8Lz/aO85IzlJT/2bJQiMbg7fEiZHe4dZmnzxA7E5mS84ktZi9SSXM4ZGA3qPmRySggKoLhVdopXIiLzphglInWhFjqSszmnfyRICOZKvDBlNufc3XmC3fu7uPfpXl6wpp1vvvfnMLOZX1xiC04Muvv/M7NmYLO7P1aCNskUNi1roXtgdPwPB6qzlLVILcifxPtHy9OrI7VLcav8FK9EROZHMUpE6sXh3mHiBp3HBkllczTEY6xsa4hER3I6m6NvJM3gaKbkCcGeoRS3P3SUrz94lO6BU+VkB0bTdA+MsaajqaTvNxulWJX4LcD/ARqAM81sO3C9u+9a6LFlomuv2Mp1uw8wnMqMD7Ut91LWUS0eLzKVTHgSHyjDSVwWB8Wt8qtkvFKcEpHFRDFKROpFW0OcQ8eGiJsRNyOTdZ49OcrZq1qr1qbRdJa+kTRDY5mSHtfdefDZPnbv6+IHTxwnUzBw5dIty/gvL97IL+/YRDxW+dGCUJqpxB8ALgX2ALj7PjOL/jIyETObG5ud563meoIht0d6h8u+lHW+eHwybhOKx18ftkUkStLZHCeH0wyOZXAlBGV6H0Bxq6wqFa9qKU4pgSkis/QBFKNEpA6YGe5Oyh0csGB13GpMpR1OZTg5nGa0xAtTDo1l+M6jz3Pbvi6ePnFqJGRHU4I3XLiWXdvWs2FZMw2JWNWSglCaxGDG3fsm/efprnwO5nJjs/O81RW7kZhuzn/+ed3gSLWlMjlOjqQYGssqISizpbhVAZWIV7VQmwZqK4Eps6dkr5SJYpSI1IVjg+E02nxeMEwOjm+vgMGxDCeHU6Qypa1F/+SxQXbv7+I7j3QzUpBsPH9dO1dtW88rz11FYzIOwD2dPXzhvsN0D45V7XqiFInBh83s14C4mZ0DvBv4UQmOWzeiemMzVfH4J7oHdIMjVVeuYd5SFxS3FolaWeQkqnFe5k/JXimjecUoM/skcCXQ7e4vLPL8nwJvD79NAOcDq9y9x8yeBgaALEFickdJfhIRkWmkMjkwMAAHM8AoeZJuMndnYCxD33CadLZ075XK5PjBE8e4bV8XD3f1j29vTMR4zfmr2bVtPeeuaZ/wmns6e7jhzieqfj0RK8Ex/hC4EBgDPg/0A+8twXHrxuHeYZrDbHFeFG5sNi1rmZDdhqB4fCqTG7/BMQv+TcZtfCShSDmNpLIc7Ruh6+SIkoIyX4pbi8RUcSpqi5xENc7L/BUme3UtJCU23xh1C/DGqZ509w+7+3Z33w78BfB9d+8p2OVV4fNKCopIRbg72RzkwhGDOYdsjrLNAnN3+kbSHO4Z4fjAWMmSgs/1jXLzDzq5+qa7+Z+3HxxPCm5a1sy7XnUWX7j2ZfzJ619wWlIQ4NZ7D5OIGc3J6l5PlGJV4mHgL83sQ8G3PrDwZtWXqK7eOFXx+GTcdIMjFTc0luHkSJqxEtd9kPqjuLV4VGNRrvmIapyX+auV0apSe+Ybo9x9r5ltmeXbvI0g6SgiUjWFC3DMZvt8ZXNO/0ia/tE02RIdO5tz7n26h937u/hJZ894vYeYweVnr2TXtvW8aPPSGeslHu0foaNpYlquGtcTpViV+BLgk0B7+H0f8Dvufv9Cj10vonpjM1Xx+Bv3duoGRyqmXHUfpH4pbi0elV6Ua76iGudl/pTslXIpd4wysxaCkYV/ULDZgTvMzIEb3f2mUryXiMh00tkpEoNTbJ/78XP0jaQZGC3d4pR9w2m+8fBRvvbgUY72jY5vX9HWwJUXrePNF61jVXvjrI+3rqOZE0NjtDScmsxbjeuJUtQY/ATw39z9BwBmdjnwKeDiEhy7LkT5xmaq4vG6wZFyKlfdB5GQ4tYiUslFueYrynFe5kfJXimjcseotwA/nDSN+DJ37zKz1cC3zeygu++d/EIzuwa4BmDz5s0lao6I1K/iyTpf4HpLpV6c0t155Gg/t+3r4vuPH5uQ0Hzx5qXs2r6eV2xdQSI+90p9V1+yiRvufIKRdIZkPFm164lSJAYH8oELwN3vMjNNy5qjWrixydMNjpRLLucMjGboG0mTySkhKGWjuCUVV0txXmamayEpo3LHqKuZNI3Y3bvCf7vN7CvApcBpicFwJOFNADt27NBKySKyIA2JOJlUNlh8xBhfnbghEZ/+hVMYy2Q5OVy6xSlH0lm++2g3u/d1cejY4Pj21sY4b7hwLbsuXs/mFQsb2Xfp1uW8h3P4wn2HOTY4VrXriVIkBu8xsxsJAowDvwrsMbMXA7j7A8VeNIuVs5YAnwE2h+38P+7+qRK0t+7sOdjNjXs7Odw7XLLlr3WDI6VUjroPItNQ3IqgcsQqkXLStZCUybxi1GyEceqVwK8XbGsFYu4+EH79euD6BbRfRGRWWhrijKWzweIjHuQG4xZsn4vRdJAQHE6VJiH49Ikhdu/r4tuPPM9Q6lR9+3NWt3HV9vW86rzVp625sBCXbl3O5eeurGo5klIkBreH//7NpO2vIAhmr57idbcAHwU+PcXz7wIecfe3mNkq4DEz+6y7pxbW3Pqy52A31+0+UPXlr0WKyRTUfciVafUpkSK2h/8qbkWEYpWIyLjt4b9zilFm9nlgJ7DSzI6Er08CuPvHw91+AbjD3YcKXroG+EpYID8BfM7dv7ngn0JEZAbnrG7n6ROD9I9kSGVzNMRjdDQn2LKibVavH05lODmcZrQEi1NmsjnuOnSC3fufZd/hvvHtybjx6vNWs2vbes5b2z7jYiK1qhSrEr9qnq+baeUsB9ot+OTbgB6gNCngOnLj3k6ScRsvjt3SkGA4leHGvZ262ZKqSWdznBxOMzhWukKwIrOluBU9ilUiIoEFxKi3zWKfWwg6uQq3dQLb5vOeIiILka/Xu3ZJYtb1et2dwbGg9FQpFqc8NjDG1x/s4j8feo6eoVN9+euXNrFr23recOFaljQnF/w+0/npM738+71H6OobqdqsmVKsSvwegoK4A8C/Ai8G3ufudyzw0B8FdgNdBKty/aq7q+jYHB3uHWbppF/kaix/PRNNIasP+UKwg6PKlUj1KG5FT1RjlWKTiFRaGWOUiEik7DxvNb905CQ33/UUQ6ksrQ1x3nn5mUWvtUpZiz7nzgM/6+W2/V38+MkT5CtZxQxetnUFu7atZ8eWZcTKODowGY/R3pTgvqd7uOG7h6o+a6YUU4l/x91vMLM3AKuB3yYIZgsNXm8A9hEMlz+LYIWsH7h7f+FOWh1repuWtdA9MDo+CgOqs/z1dDSFbPErdd0HkQWqatwCxa7JohirFJtEpErKFaNERCJlz8FuvvjAs6xqb2RzOGLwiw88y8Ubl45fa2WyOfpHM/SPpBdcempgNM03DzzP1/Z3caR3ZHz7spYkb75oHVdevI41HU0Leo/pxGNGa2OCtsYETWGNwk/c9XQkZs2UIjGYT6O+GfiUu++30ky8/m3ggx7MMzxkZk8B5wH3FO6k1bGmlx+eO5zKTDs8t5qjIjSFbHHKD/PuH80wVoK6DyIlVNW4BYpdk802VlWSYlNt0KhOWYTKFaNERCLlxr2dpDJZTgyeqjHY3pTgxr2dvOLslfSNlKb01MHn+tm97yh3PtY9YfrxRRuW8Nbt67n8nJUk47GF/jhFmRmtDXHamoLp0pNP51GZNVOKxOD9ZnYHcCbwF2bWDpRi6tQzwGuAH5jZGuAFQGcJjltXdp63musJ/uiO9A4XXf662qMiovLHIKUxlskyMJphUAuKSHQpbkXMbGJVpSk2RV+1r19EyqRcMUpEJFIef76f/tEMMYy4GZmsc3xwjLF0dsHXW6PpLN977Bi793Xx2PMD49tbGuK87oI17Nq2njNXti70R5hSc0M8GB3YkCAWm7pvJyqzZkqRGPxdgtWzOt192MxWEIyaAMDMLnT3A5NfNIuVs/4WuMXMHiLoOftzdz9egvbWnZ3nrZ72ArlUoyIm99q/fOtyftzZM2MvflT+GGT+3J2BsQwDGh0otUFxK4JmilWlNJtRZopN0Verozo1ylFmMK8YJSJSa9JZJ5dzsjg5Dy6eDUhl5z+45HDPMF97sItvHXiegYK69ltXtrJr+3pee/7qCdd2pdSQiNHemKS1MU5iliMQozJrphSrEueABwq+PwGcKNjl3wiK5k5+3bQrZ7l7F/D6hbZvMSnXhWQpRkVM7rV/+sQg9zzdw6q2Bla2NU7bix+VPwaZu1Qmx8BomgGNDpQaorhV32Y7yqzWYlM9JptqcVSnRjnKTOYbo0REalFhDtDDx5yPkXN+/OQJbtvfxf0/6x3fnogZV5y7irduX8+F6ztOm8ZbCsl4jLbGBK2NCRoSc5+OHJVZM+VJlU6kmhglUM4LyVKMipjca98/kiFmMDCaYVV707S9+FH5Y5DZ02Iissgpbi1isx1lVkuxqV6TTbU4qrNWRzlKpChGiUhNy9eiz+WcmIF7kBA0YC65uxODY9z+0HN8/cGjHBscG9++pqORt1y8njddtJZlLQ0lb38iFqOtKUFrY5zGRHzBx6vkrJmpVCIxqGFEJVDOC8mFjorYc7CbB57pJedOQzzGyrZGUtkcMYNU9lRJlOl68aPwxyAzG05lODmcZlTThWVxU9xaxOYyyqxWYlO9JptqYVTn5JGcjz/fz7olzRP2ifooR4kcxSgRqUm5nDMwmqFvJE0mlyMRN2KZYIEOG08QOg3xqbOD7s7+I33ctq+Luw4dJ5sLTokGXHrmcq7avp5LtiwnPk1dv/kotqLwYlKJxKCUQDmnyyxkVER+lEK+HkAm63T1jRADcg4NBXPro96LL1MbGstwciSt+oEiUvNqcZTZTGpxSm0pRH1UZ7GRnINjWY4PjrGqvWl8v1r//RMREZlOJpujb+T08lNbVrRxpHeIoVSWdDZHMh6jtSHBxmWnLwoyOJbhjgPP87X9Xfys59T1TUdTgjdftI4rL17H+qXNp71uIWZaUXgxqURiMFWB91j0yn0jM99REflRCmuXNNF1chQMLBwKnHNob0rg7pHsxZfp5Yd4nxxOk85qMTypK4pbi1gtjDKbq8WY7JytKI/qLDaSc3lrkp6hNK2NiUXz+ycVpxglIjUhnc1xcjjN4FgGL1KP/upLNnHDnU+wsiFBUzLGaDpHJudcfcmm8X0OdQ9y274uvnvweUbTp+5JL1jXzlXbN/DKc1fNq7bfdJqSQTJwphWFF5MFJwbN7Lvu/pqptrn7yxb6HhLdG5n8KAUzY/1SODYwxlgmRzwW4z2vOosfd/ZEshdfpubu9I9m6B9RQlAWJ8Wt+hb1UWbzEdVrhHpXbCTnitZG0llndXvTovn9k9JSjBKRWjeaztI/EiQEp3Pp1uW8h3O49d7DPNc/wtqOZq6+ZBPbNy/ljkeeZ/e+Lh452j++f1MixmsvWMOubes5e3VbSducX0SkrSlBcpYrCi8m804MmlkT0AKsNLNlnCqE2wGsL0HbpEBUb2QKRym0NyVpb0oynMqwur2Jd7/2XN5d1dbJXEyu+SCy2ChuSV6UR5nNR1SvEerdVCM5z1ndzuevUW5HJlKMEpFaN5969JduXc6lW5cDcLRvhK/tP8r/+saj9I+eSiqesbyFXdvX87oL1tDWWLpJrzEL6ga2Ny3OuoFzsZBP9VrgvQSB6n5OBa9+4GMLa5YUE8UbGY1SqH3ZnNM/kqZ/ND1evFVkkVLckkUritcI9U7XSDJHilEiUnNyOWdgbP6zzbI5556neti9v4t7nuoZX10pHjMuP3slu7atY/umpSWt79fcEA9GBzYmFnXdwLmYd2LQ3W8AbjCzP3T3fyphm6SGaJRC7ZqqCKzIYqW4JSKVpGskmQvFKBGpJQu9l+wdTvGNh57jaw928Xz/2Pj2VW2NXHnxOt580VpWtDWWrL3JeIz2piAZmKjDqcIzWfA4THf/JzN7BbCl8Hju/umFHlvKa8/Bbm7c28nh3mE2LeBiVaMUaksqE5zEpyoCK7LYKW6J1JZSXa9Ug66RZK4Uo0QkysYyWfqG0wylsnO+l3R3Hn62n937u/j+48fIFMxWe8kZy7hq23peftYK4iVa8CMeC6YKtzVqqvBMSrH4yL8BZwH7gPxkcgcUvCJsz8Furtt9gGTcWNqc5Knjg1z7mftpb0pwzur2mrroltkZTWfpG0kzNEMRWJHFTnFLpHZMvl7pHhjlut0HuB7Gr1NqOXEoMplilIhE0Ugqy8mRFCOp2dcPzBtOZfjOo93s3tdF5/Gh8e3tTQneeOFarrx4HZuWt5SknWZGSzhVuKUhrqnCs1SKyo07gAtcQ49qyo17O0nGjZaGBP0jaU4MpQAYHssUveiW2pSv+TAwmiaV0YIiIiHFLZEaUXi9AtDSkGA4leHGvZ3sPG/1rBKHIjVGMUpEImNoLMPJkTRjc1hQJO+p40Ps3tfFtx99nuGChOIL1rSza9s6XnXe6pKN5GtMnqobWKoRh/WkFInBh4G1wNESHEuoTM/34d5hljYnATg+OEYMw2KQzvlpF91Se7I5p28kTf9IWvUDRU6nuCWRo1FvxRVer+Q1J+Mc6R0GZk4citQgxSgRqSp3Z3AsQ9/I3AeXpLM5fvDEcXbv7+LBI33j2xsSMV79gtXs2r6O89Z2lKSdiViMtrBuYENCdQMXohSJwZXAI2Z2DzBeNdLdd5Xg2HWnUj3fm5a10D0wSktDglQ2R9wMd2gIC3EWXnRL7chkc5wMi8Cqo1lkSopbEika9Ta1wuuVvJF0lo3LgilHMyUORWqQYpSIVEUu5wyMBgnBTG5uCcHn+0f5+oNHuf2ho/QOp8e3b1zWzFu2recNF6yhY1K8Brins4db7z3M0f4R1nU0c/Ulm7h06/Ip3ydmp+oGNjeobmCplCIx+IESHENCs+35XujIgmuv2Mp1uw8wnMrQEI+RyuYwjFXtwco/hRfdEn3pbI6Tw1pQRGSWPlDtBogUqtSot1oclVh4vdKcjDOSzpLOOtdesRWYOXEoUoM+UO0GiEh9yWRz9I9m5jzbLOfOfU/3snt/F3d3niC/lkjM4BVnrWTXtnW8+IxlxKao83dPZw833PkEiZjR0ZTgxNAYN9z5BO/hnAnJQdUNLL9SrEr8/VI0RAKz6fkuxciCneet5nqCm5G+4RSZnLO8NUlbY3AzUnjRLdE1ms7SPzK/VaFE6pXilkRNJUa91eqoxMLrlSO9w2yclNCcKXEoUmsUo0SkUuY7uKRvJM03H36Orz3YRdfJ0fHty1sb+PmL1nLlxevHBxxN59Z7D5OIGc1hncF8HL/13sNcunU5zQ3xYHRgQ4KY6gaWVSlWJR4gWCkLoAFIAkPuXpqJ43VmNj3fpRpZsPO81aet6Ffsoluixd0ZSgUrDM+nCKxIvVPckqipxKi3Wq7FV3i9Uuy56RKHIrVGMUpEym0sk6UvTAjOlrtz8LkBdu/v4s6D3aSzpxKJ2zct4artG7jsrBUk4rOv9Xe0f4SOpokpqeZknO6BUTYtbyE5h2PJwpRixGB74fdm9lbg0oUet17Npue7HCMLprvolmjI5pyB0TT9I5k513wQkVMUtyRqKjHqbTHX4tM1jCwmilEiUi6j6Swnh9MMp2afEBxNZ7nzYDe37eviie7B8e2tDXFef+Fa3rJtHVtWtM6rPes6mjkxNEZzQ5yYGfGYMZrOcsaKViUFK6wUNQYncPevmtn7Sn3cejGbnm/V06kvqUyOvhHVDxQpF8UtqbZKjHrTtYNIbVKMEpGFGk5lODmcZnQOs82e6Rlm9/4uvnXgOYbGTr3u7FVt7Nq+jtect2ZBi3+YGb/5ijP42/98hO6BUXIO8ZjR1pjgr3/+gnkfV+anFFOJ/0vBtzFgB6eGv8s8zNTzrXo69WE4laF/JDOnHh0RmZnilkRRuUe96dpBpDbMN0aZ2SeBK4Fud39hked3ArcBT4Wbvuzu14fPvRG4AYgDN7v7BxfwI4hIBLg7g2PBCsOpzOxmm2WyOX705Alu29/FT585Ob49GTdeee4qrtq+ngvWdSxo8Y/GZJz2pqBu4M+ODxE3wzDcc+CGKglWRylGDL6l4OsM8DRwVQmOK1NQPZ3Fy93HV4RKZzVdWKRMFLek7ujaQaRmzDdG3QJ8FPj0NPv8wN2vLNxgZnHgY8DrgCPAvWa2290fmUObRSQi5lN+6tjAGP/50FH+86GjnBhMjW9ft6SJt1y8jje+cC1LWxrm3aZELEZbU4K2xgQNiVNThG/c20lHc5K1S5rHt9VK/ePFphQ1Bn97Pq+bqVcr3Gcn8I8ERXePu/sr59fKxUf1dBaXXM7pH03TN5Imm9PAJZFyUtySeqVrB5Hom2+Mcve9ZrZlHi+9FDjk7p0AZnYrQSJSiUGRMvvIdx7n5rueYiiVpbUhzjsvP5N3v/bceR1rruWn3J2fPnOS3fu7uOvQcfK3oAa8dOtydm1bzyVblhOf52rAZkZrY5z2xuSUU44P9w4TN+g8Nkgqm6MhHmNlW8OiqH9ca0oxlXgj8E/AZQTD3O8C3uPuR2Z46S1M06tlZkuBfwbe6O7PmJmuZGXRyeWcvpE0/aNKCIpUiuKWiIhE1QJi1Gy83Mz2A13An7j7AWADcLhgnyPAS6do2zXANQCbN28uQXNE6tdHvvM4N9x5iJhBIhbU/b3hzkMAc0oOjqSy9I3MfkGRwdEM33rkOXbv6+Jw78j49qXNSd500VrecvF61i5pmtsPEzIzmpNxWhvjtDYkiM2QVGxriHPoWDCdOG5GJus8e3KUs1fNbzETmb9STCX+FPA54JfD73893Pa66V40i16tXyOoffFMuH/3wpsqEg3ZnNM/EowQzGlBEZFKU9wSEZGomleMmoUHgDPcfdDM3gx8FTgHipb0Knpx6u43ATcB7NixQxewIgtw811P4e5kHTIO+bJ9N9/11KwSg0NjGU6OpBmb5YIijz8/wO59XXz3YDdjBTUHX7i+g6u2r+fnzlk1YZrvXDQm47Q1BlOF5zLCcLxWoXHqTOQsqIahzE8pEoOr3P1TBd/fYmbvLcFxzwWSZrYHaAducPfpamaIRF42P0JQCUGRalLcEhGRqCpLjHL3/oKvbzezfzazlQQjBDcV7LqRYEShiJTRwGhmQgY+f2s4MDr1yD93Z2AsQ9/w7OrRj6Wz7Hn8GLv3d/Ho0YHx7c3JOK+9YDW7tq3nrFVt82p/Mh6jvSlBa2OCZHx+CcWBsQwbljZxfDA1PpV4bUcjg2NafLPSSpEYPG5mvw58Pvz+bcCJEhw3AbwEeA3QDPzYzO5298cLd9KQdqkFSgiKREpV4xYodomIyJTKEqPMbC3wvLu7mV1KsOLxCeAkcI6ZnQk8C1xNMAJeRMooFjOyOadwcJw7RaffZrI5+kczDMyy/NSzJ0f42v4uvvnwc/QXJBq3rGjhqu3ree35a2htnHsqKB4zWsORgU3J4nUD52LTsha6B0bZWpCcHE5lWN0+v6nMMn+lSAz+DkHNpX8gGHb+o3DbQh0hKNw+BAyZ2V5gGzDhBktD2iXKsjnn5HCKgdGMEoIi0VHVuAWKXSIiMqV5xSgz+zywE1hpZkeAvyFYCAt3/zjwS8B/NbMMMAJc7cEKBRkz+wPgW0Ac+GRYe1BEyqi1IR4k7fz07XljmSx9w2mGUtkZFxTJ5py7O0+we38X9z7dO749ETN+7pyVXLV9PRdtWDLnabpmRktDMFW4pSFe0mm+116xlet2H2A4laE5GWcknSWdda69YmvJ3kNmpxSrEj8D7CpBWya7DfiomSWABoIiuP9QhvcRKblMNhcuKjK7VaFEpHIUt0REJKrmG6Pc/W0zPP9RgoRjseduB26f63uKyPxduH4Jjz3Xz8mRNDmHmMGy5iQvWNvBcCpDE6/qXwAAY3JJREFU30iakdTM9QN7hlLc/tBRvv7gUboHxsa3r25v5MqL1/Hmi9axvLVhzu2bb93Audh53mp+6cjJ01Zm3nme1u+rtFKsSnwm8IfAlsLjufu0AW2mXi13f9TMvgk8COSAm9394YW2V6ScMtkcJ0fSQc0IJQRFIklxS0REomq+MUpEakt+tNyy1gaak3GGUxlSWecXX7yB5/pGp32tu/Pgs33s3tfFD544TqZgevElW5axa9t6XrZ1xZwTesl4LEgGNs2/buBc7DnYzRcfeJZV7Y1sDkcMfvGBZ7l441IlByusFFOJvwp8AvgawY3QrMzUqxXu82Hgw/NumUiFKCEoUlO+iuKWiIhE01eZR4wSkdqy87zVXA98/PtPcrhnmNUdTfzqjk28+IxlU75maCzDdx59ntv2dfH0ieHx7R1NCd74wrW85eL1bFjWPKd2xGNGW2OwiEgp6gbOxY17O0nGjZaGIC3V0pBgOJXhxr2dSgxWWCkSg6Pu/pESHEdKaM/Bbm7c28nh3mE2LWvh2iu26o+rDDLZHL3DaQbHlBAUqSGKWxGieCUiMoFilEgdyGRzXLRxCR/8xYtnrEX/5LFBdu/v4juPdDOSPjW9+Px17ezatp6d566icQ5JPTOjtSFOW1NiPClXDYd7h4kbdB4bHF+VeGVbA0d6h2d+sZRUKX4LbjCzvwHuAMYntbv7AyU4tszDnoPdXLf7AMm4sbQ5SffAKNftPsD1oJutEklnc5xUQlCkViluRYTilYjIaRSjRBaxsUyWvpE0Q2NZfvLkCW699zBH+0dY19HM1Zds4tKtywFIZXL84Ilj3Lavi4e7+sdf35iI8ZrzV7Nr23rOXdM+p/duSsbHVxUuV93AuWhriHPo2BBxM+JmZLLOsydHOXtVa7WbVndKkRi8CHgH8GpODXf38HupAg3JLR8lBEUWBcWtiFC8EhE5jWKUyCI0eUGRezp7uOHOJ0jEjI6mBCeGxrjhzid4x9AZHDk5zO0PPcfJkfT46zcta+aq7et5/QVraWuafRonGY/R3hRMFa5E3cC5GF/h2MIHgFPSlY9ldkqRGPwFYKu7p0pwLCmBw73DLG1OTtjWnIxrSO4CpDI5To6kGBqbeal4EYk8xa2IULwSETmNYpTIIuHuDIxl6BtOk85OLBl6672HSWeynExlSWVyxGOGA393x2Pj+8QMLj97Jbu2redFm5fOOmEWM6O1MUF7U+XrBs7FwFiGDUubOD6YGp9KvLajkcGxTLWbVndKkRjcDywFuktwLCmBTcta6B4YnVAvYCSdZeOyliq2qjblE4KDozo5iSwiilsRoXglInIaxSiRGpfNOf0jafpH02RzxQeVPH1iMFi4Esg5ZLOn9lvR1sDPX7SOn79oHavaG2f9vk3JeDA6sCFBLAJThWeSvw7cuqptfNtwKsPq9qYqtqo+lSIxuAY4aGb3cqoOhrv7VSU4tsxDfunz4VSG5nDZ73TWufaKrdVuWlmUo3D9WCZLXzhlWEQWHcWtiKi3eCUipbVIFy9SjBKpUalMjr6R6ctOuTuPHO1nYCxLdtIuBjQkYnz+nS8lMctpv4lYjLamoG5gQyJaU4VnouvA6ChFYvBvCr424HLgbSU4rsxTfunzG/d2cqR3mI2L50LpNKUuXD+aznJyOM1wSglBkUVMcSsi6ileiUhpLeLFixSjRGrMSCpL/2iaoWkGlYyksnz34PPs3neUQ8cGi+5jQEtDfMakYMyMlsY4bY3VXVV4oXQdGB0L/i1y9++b2Xbg14BfAZ4CPr7Q48rC7DxvdV38QZWicL27M5QKVocaK1j+XUQWJ8WtaKmXeCUipbVYFy9SjBKpDe7O4FiwoEgqk5tyv6dPDLF7XxfffuR5hlKn7jUb4jHS2RyTxxUua2mY8ljNDXHam5K0NsQXzQIdug6MhnknBs3sXOBqgh6sE8C/A+burypR20RmtJDC9dmcMzCapn8kQyY39clcRBYHxS0RkcVjsS1epBglUhsy2RwDo5lp6wdmsjnuOnSC3fufZd/hvvHtybjxqhes5qrt6/k/3zzIM70jxMwwA3fIuQdfFEjGY7Q1Jmhrit6qwrJ4LGTE4EHgB8Bb3P0QgJn9UUlaJXNWWGOlLexBGBjLlKzeSlRruMyncP1YJkv/SGba2g8isigpbonMwkwxP6rXBKVWLz9nrVqEixcpRolE2Gg6S/9ImqFUdsp7yGMDY3z9wS7+86Hn6Bk6tbD4+qVN7Nq2njdcuJYlYYfGcCbHmo5GesMVi5PxGMtaGhhOZ8frBrY0xCO9qrAsHgtJDP4iQa/W98zsm8CtBNPipcIKa6zEDQ4dGwJgw9KmktRbiXINl9kULM3lnNFMlqGxLCOprEYHitQvxS2RGcwU86N8TVBK9fJz1rJFWLReMUokYmZTcirnzgM/62X3/qP86Mnj5AcRxgxetnUFV21fz0vOWEZs0tTfdR3NnBgaY1O+M8NgLJ1lTUczm1fUbAeH1Kh5Jwbd/SvAV8ysFXgr8EfAGjP7F+Ar7n5HaZooMymssdJ5bJC4GRgcH0yxdVXbguutRLmGy1QFSy8/ZyV9I8EiIqPp3Gm9Ovd09nDrvYc52j/Cuo5mrr5kE5duXV6dH0JEKkJxS6IoaqPSZor5Ub4mKKV6+Tlr2WIrWq8YJRId+enCA6NTl5zqH0nzrQPP8bUHj3Kkd2R8+7KWJG++aB1XXryONR1NU77H1Zds4oY7n2A0k6W1IcFYJotj/LedZ5X85xGZSSkWHxkCPgt81syWA78MvA9Q8KqQwhorqWxuPDGYygYnsYXWW4l6DZfCgqXDqQz9Ixme6Zm6bfd09nDDnU+QiBkdTQlODI1xw51P8B7OUXJQpA4obklURHFU2kwxP+rXBKVSLz9nrVuMResVo0SqZzbThR97boDb9nVx52PdExYduWjDEt66fT2Xn7NyxlqAZsarz1/NstYkt/zoZ4uic0NqW0nXtnb3HuDG8CEVUlhjpSEeI5MNTmIN4QlpofVWaqGGy0gqy/HBMdLZmacJ33rvYRIxozms15CffnLrvYeVGBSpM4shbvUOpRgYzZCIG4m4kYzFiIf/JuJGImaLZuW6xSaKo9Jmivm1cE1QCvXyc0q0LYYYJRJ17s7AWIb+aVYXHk1n+d5jx9i9v4vHnhsY397SEOd1F6xh17b1nLmydcb3akrGaWtK0NaQIBYz3vDCdbzhhetK9rOIzFdJE4NSHYU1Vla2NfDsyVFwWNvRyHAqs+B6K1Gu4ZLJ5ugZSjE4lpn1a472j9DRNPFXvykZ47n+kSleISISXQ5kcjkyOSBdfJ9EPkkYt/GvlTisviiOSpsp5kf5mqCU6uXnFBGpV5lsjv7RDAPTrC58pHeY3fu7+NaB5xkYPXW/uXVlK7u2r+e156+e0IFUTGMyTltDgtbGOIlJIwmjVk5E6pcSg4vA5BorZ69qxcwYHMuwur1pwSeYKNZwyeWc/3ywi0/88GmO9s2tTmC+0GtzwQpPo+kcazuay9lkEZGqUeIwmqI4Km2mmB/Fa4JyqJefs1bo5llESmUklaV/NM3QFANLsjnnx0+e4Lb9Xdz/s97x7cm4ccU5q7hq+3ouXN8x7bVRMh6jrTFBa2OChkTxacVRLCci9UuJwUWi3DVWolLDxd3pH8nwrYeP8g/fnV+dwHyh15F0lqZkjNF0jkzOufqSTRX6KUREomW+icNYLHguHlPicD6iOiptppgflWuCcquXnzPqdPMsIgs1m+nCJwbHuP2h5/j6g0c5Njg2vn1NRyNvuXg9b7poLctaGqZ8DzOjtTFOR1OSpoIBKFO5cW8nqUyWE4MZUtkcDfEY7U0JLXIlVaHEoNSE0XSWgdEMQ2MZcu587p751wm8dOty3sM53HrvYZ7rH2GtViUWEZnWTIlDMyMZN5LxGMm4RhzOlkalicwsirU4RaQ2pLM5+kfSDI5lik4Xdnf2H+njtn1d3HXo+Pg+Blx65nJ2bVvPpWcun7YDtCkZp7UxQVtjYk4dpY8/38+JoVMXVulslqFUlswsauaLlJoSgxJZ2ZwzOBbUfZjcs7PQOoGXbl2uRKCISIm4O6mMT9kLP9WIw3gsSCjWc+JQo9JEpldYi9PdcaAxEeOZniH6htNkcjmyOSfrTjbn5HKwYVmzRjKL1LGZpgsPjmW448DzfG1/Fz/rOVXXd0lzkje9cC1XXryO9UunLjOVDEf3tTYmZlyBeCq9Q8V7W3um2C5STkoMSuSMpLIMjE6/THyxOoG9QylG0jne9q93z6nmoIiIlNdspioHKykbibgShyL1wsNkXibn5Dz4N5s9leTL5JxVbY2cGBoLpuaFl4Uj6Syr2po4MTQ24Xj3dPZw672HOTY4yublrRqBK1JH8tOF+4bTpKcYdXeoe5Dd+7v4ziPPM1rQmXnBug52bV/PznNXTVkTMGZGa2OC9qbErKYKz2SqcYEaLyjVoMTgAqkYcmmkMjmGUxkGRjNTnsgLTa4T2DuUomc4zYrW5JxrDoqISHXlE4djUzwfDxOG93Se4LM/eYZnT46wcWkzv3P5mex8wWriMSMeM2KGkogiEZDLTUzuZXP5r3Pkcpwa5TfFSqCFfnVHcM3nPn1t6Hs6e7jhzqD+tGoRitSPmVYXTmVyfP/xY9y2r4tHjvaPb29KxHjtBWvYtW09Z69um/L4jck47U0J2hoSxDQSWRapqiUGzeyTwJVAt7u/cJr9LgHuBn7V3b9YqfbNhoohz4+7k8rmGMvkGE1nGU3lyOTm1jcyuU7gSDrHitYky1oagbnVHBQRmY3FELdqVTbn/PjQsfGb/rbGOM/1j3L91x+hbzg94TwfszBJGAvqG8bC+oeJeCz4V4uliMyau5NzyHkwoi+XC77OuuM5yI5vn5gAzE0x42M+Zlsb+tZ7T9WfNrO6q0U4U4wys7cDfx5+Owj8V3ffHz73NDAAZIGMu++oSKOlbpVicM1oOkv/yNSzzLpOjvD1B49y+0NH6R89NaX4jOUt7Nq+ntddsIa2xuLpkHjMaGtM0NaUoDGx8NGBIlFXzRGDtwAfBT491Q5mFgc+BHyrEg1KZXL0j6ZJxmM0hFOZ8jcYxVSyGHKtj0wcTWcZTWcZTmUZy+SmnCI8F4V1At/2r3cvqOagiMgs3ELE4lY9Kbzph6k7gHLu5LIO2alHIJoFScN4mDjMjzSMGeH3Riw2xdcRGZVY69cFUjruE5Nyxa6w8rX5cgXTdsf3d4IH4deTXhcFs6kNXaz+dHMyzpHe4SlesejcwvQx6ingle7ea2ZvAm4CXlrw/Kvc/Xh5myiysME17kEN+v7RDGPp7GnPZ3POPU/1sHt/F/c81TN+PovHjMvPXsmubevYvmnplHG8MRmnoylYSKTcsd6g6Pm6+lcYUo+qlhh0971mtmWG3f4Q+BJwSflbFNxM9I8UL4BkZhP+SJOJGE+fGGJpc5JczsGCP+JyXIDU4sjEXM4ZTmcZTmUYSWVnNVVkIYrVHBxN51jbMXXRWBGRuYhi3KonC110qpC7k846Re4pZqVwVGI8TBwmYjHiZliYRIyH+5SjRmItXhfI3EwYgedB3b1MLjc+PTef0Msn+KT4teBIOsvGZS1VbFXlzBSj3P1HBd/eDWwse6NEipjP4JqZpgv3Dqf4xkPP8bUHu3i+/1S34Mq2Bq68eB0/f9E6VrQ1Fj22mdHaEKejOVmS2oGz1ZCIkcrkJiQHLdwuUmmRrTFoZhuAXwBeTQRusPI9rXlj6Sxr2puKXoCsbGvkSO8wyXgwXSk/KiEZj5EI6yTNRSVHJs5XNueMZbKMpoPpwaUaFThbk2sOTlV/RkSkXKIWtxabKHUAFY5KnI18jcREeE2QX2yl2KjF2aiF64JaVlgfLzf+LxAm4szACJLARpAItnC0KXDaKNT8/2v+ePljZnKnT8HNb4/KSL1aUngtmIwbI+ks6axz7RVbq920KPpd4BsF3ztwh5k5cKO731SdZkk9KFxpPG+qwTXTTRd2dx5+tp/d+7v4/uPHyBQkDF9yxjJ2bVvPK85aMeXsv2Q8RkdTkramRFVKjJy5ooVDx4aCTkULRm5n3TlzRX10Zki0RDYxCPwj8Ofunp3uQtnMrgGuAdi8eXNlWhaaKhn1qzs2kcrkSGWK183LT2EqrH9U+H1hMtHM5nTyLKfCleMyOSeTDX7GsUxuVguGlNNs68+IiJTRPzKLuAXVjV21qpY7gIKET3bKqc2FxhOFRUYjxmLB88/0DLGkORkkqcLXNSViHO4ZIpXJhYmrU/L3SvlrjVrjfmqK62k175xw9JyPf2bxmI3fYOXr3+X81GvHp8yGx8lPsc2/Rkm52lR4LXh8cJRNWpW4KDN7FUFi8PKCzZe5e5eZrQa+bWYH3X1vkdcqdsmCbVrWwqNH++gfzZBziBl0NCU4f90SIDgfD6Yy9I+ki95PD6cyfOfRbnbv66Lz+ND49vamBG+8cC1v2bZuypHCQf3ROB1NSZobqls78H1vOp8//PwDDKWy459Da0Oc973p/Kq2S+pTlBODO4Bbw5urlcCbzSzj7l8t3Cns0boJYMeOHRW9kpspGXVPZw+33nuYo/0jrCt4Lj+Fabr6R3mJWIzV7Y2cGBwbHxkAwcjENR1N9I2kidmpGwkzgpsHm9/FfzqbI5P1IOGXzZLK5MZ7yqN+oTyb+jMiImU0q7gF1Y1dtapUHUBTxeaoyOacLNOPRlzVNtWMhaYZOw0TsRjJhJEvkJKfD5GP85NDfX4kXLFRcLFw5BzG+DYLX2ME1yTA+Ii4XMFojsIkXz5RB6dq3RWOoBOZrfy14BkrWrXIUBFmdjFwM/Amdz+R3+7uXeG/3Wb2FeBS4LTEoGKXlMLajgZ+3HlqMZCcw8mRDKvbkhwfHGNwNFN0AaOnjg+xe38X337keYZTp4LkC9a0s2vbOl513uoppwIn4zHaGhO0NyXmPHuvnGJhRxYE8a8WO+9kcYhsYtDdz8x/bWa3AF8vdnNVbVMlo+7p7BlfPbGjKcGJoTFuuPMJ3sM5c7oByeRy/MpLglESubHMhFESv/TijZwYnD61GCsYtZK/uC/8N98Dn5/KEvXkn4hIVNVK3KplC+0AKlVsrraFjJ7M5HJkUhVopIhEipltBr4MvMPdHy/Y3grE3H0g/Pr1wPVVaqbUge8ePEbMTo1mh2CU+3cOHuM9r5tY7z+dzfGDJ46ze38XDx7pG9/ekIjx6hesZtf2dZy3tqPo++RrB7Y1JSYMsImKD33zIENjWRoSsfH78qGxLB/65kGNdJaKq9pfiJl9HtgJrDSzI8DfAEkAd/94tdpVKrNdPXE2FjJKYkJvixOMQhARmUG+dMDwWIZEzCpajDmqFnvcqgeljM3VpPIZIjLZLGLUdcAK4J/Dke0Zd98BrAG+Em5LAJ9z929W/AeQujE4lmHyYHCHCaMAn+8f5esPHuX2h47SO3wqWbhxWTNv2baeN1ywho5JpbbympJBMrCtIRHpEXidx4fGZxK6M14GpHB6tEilVHNV4rfNYd/fKmNTyqKUqyeCpsmK1INTK6XmwkcwrT8Vfp/KnNpe+H0q3C//ulQ2RzpTsF+R1wRfFz6ff+7Ufvlrtve/+TyuueKsqn42UbDY41Y9KHVsriZdF4hIoZlilLu/E3hnke2dwLZytUuk0EhYT68YB+59uofb9nVxd+eJ8f1iBq84ayW7tq3jxWcsmzAjLi8es3CqcLJmVvXN5nJkC8fwhF9brrq1+6U+RW9M7SIRpdUTRWRq+WRc6rSk2cTE2uSk2eT9pkqunUrWnZ7wKzxGPnkXRf9/e3ceJ9dZHvj+95xTa+/apbZkZGEZr7IwxhgwRkAwXrAcMszEvpkEEhhMAhOY3MyFuZk4CbmZ4JCbxAwk2HEI40uCSUgYi80YMMYQ4ngByauwbHmR1JK6tfZW2znnvX+cU9VV1bV2117P9/NpdfepqlPnVJfqfc/zPu/zpjLaQVG9QdtmpZRSqrUc12M25TCTdMi4HhZQrmf5sX96IvfzysEI1160nndetIG1I7GS94+ELEbjYYaiIaot/NZpIraN47kFi4WZYLtSraaBwSbp5tUTlWo21yufFVcuuFacFbcoKJcXXFt0v7ygXP6+Mx0cjKskbAth2yJiW4RtfyGB/N8jIVm4zbaIhLI/S+73SPb3UN79gn1F8n5fOxrjlWsG233KSjWEts1KKaVUa8yn/WDgfNotqGNfree9fdMoOy8+gyvOXlVyoRARYTDqryzczaVuBqI2Kcf1g6QGELCD7Uq1mgYGm0Tr/6hO43pVAnBFU1UXZbstmtJaHLgrnQmXH4TL3qcbV5n0g2t5QbO8YJsfUMsLrtmSuz0/AFcYrJPcz/m/R6rsO2RLySkUzbJ2JMZQVJsK1Ru0bVZKKaWax/MMM0mH6WSGjLs4LzCZqVzx/vPvvZTNq0oPSEdCFsOxMMPRzq4dWKuta4d58fgs0wmHtOsRsS1G4iE2rxpq96GpPqRXe02k9X/6mzH+Ss8Z1yPjBFNVS9SKqx6AK7xfxay4gsBf4X26LRZnCXmBs6JAW8gikpf9VpzxlguwlcimC4cWB++ymXTF2XTZ20OWdN30BNUfHn3xBHuPzJB2XCxLCFmCbQkhy8r9bAfbQ7aFLYJt523Lu3/2vpbQ0+93bZuVUkqpxsq4HtOJDDNJp3Dxy8DLJ+b52p4Jvv3U0Yr7KQ4K9kp2YCk3X7mFW3Y9xfrRUG4xtIxruPnKLe0+NNWHNDCoekp+vbhM0fTSwlpufrCueOGF9KLacCWy4hyvcr247OPyFm/oFpZQkLFWkLmWF4DLZrIVBOVKBuCKg3eSF9hbPBU2P8Ou1NQBpVShv/u3l/nqTw81dJ8CucChXRBc9IOHIVtyAcZQXuDRv5+1KOi46PH524J9LezTKvg9ZBfvm9L7KQ5wlnh89rZeD3wqpZRSrZLMuEwnMsymnEW3Oa7Hj58/zq49E/zk5VNV95WfBBi2LYZj/mIidg9kB5ay49y1vPvgKe780QvMpV0GIzbvv+Isdpy7tt2HpvqQBgbb7OH9J7j7kQMcnk6woUunNHnG5FZATRcEzxYH4NJlAnLlsuIyJaa+9lq9uJC1OHNtITtOSmTE5d2vuG5cwX0XB+UK923lpsdmH9OrDa9SvWokFmL1UCQ3Rd/xPFzP/3mpWcIGcDw/47lXNTp4WfHxFYKn2f2HLCmb8bnwPIszPhfOo38yPpVSSrWXMYbZlMPpRIa0s3i68LHZFN94/DBff+Iwx2fTue0bRmNcv20Df/PDF3BL7NcCBiIhhmMhBvugjM0Deye566GXSLselkDa9bjroZfYtnFMg4Oq5Xr/f1wHe3j/CW67fx8hSxiJhTg+l+K2+/fxEbZWDQ66Xq2rqOYFzoKgWjZwlx+cy051zeQF7yrVosvPxOvGenHZDLhS9eJKZbgVZ8sVB++Kp7TmP65SYK7V9eKUUr3lD264kI/83Dmcmk8vus0z2WCh/911Da4xOK63sM34250gqOjk3c/1DE7uMQbX89h3dJbvPHMUKwiIZVwPz4PXbVnJhtGYv5+8x2e//O0LQcvcPvP27XrkAptO0WMXfl5+4BPI7SO1jNe+ky0ORpbO+CydlVkqmFk66LkwTb1y0DRUJeNzUYCzKBjrH6NmfCqlVDulHJeZpMNsienCxhh+euAUu3ZP8KPnjuXaaMHvI9ywfZzXbl6JJcKdP3qh5AokHrB+tPTqw73ok996hlPzGb/9FMF4cGo+wye/9YwGBlXLaWCwRrXWiyteRTVTUAeucPGHB342RTLjYolgMBjjZ2n84TeeZuPKgbJTYbuxXpzgF4wVAcc1eMYQti1WDEQYHQjngmvFNeUKstuKppyWyqgrnvJanBUXCWm9OKVUf7BEsGyhkSV57n1yD6PxMPG8nSYyLsdm0vzf157XuCeqQanAZ3FgMT+omA0sFgQa84OgnsF1vRJBy9KPX7zvwsClUyLAWuoYyz1+Oe18NuOzVwOfzQheVnt8YYBzYZ/5QdVSx7RoqnuJjM9mTXXvhVkpSqn2MsYwk/JXF05lFuf5zSYdvv30EXbtnuDAyURu+2g8zLUXreed2zawYTRe8Jhy7VuJ0oQ97YXj834ZLOPHAUT8a+YXjs+3+9BUH9LAYOC7Tx/lL773LHMpt+RKq62sF5cCfnZkZtn7sYrqxYXtxVNH81daLVUvrni6aqm6c5FyQbngtt0vn+IfHj3AyyfnmU05jMVDrBiMkMz4F1i/+vrN2lFVSqkucHg6wUissOsQC1scmU6UeUTzNCPw2Uk8Uxg0LJXxWSqbslTgcyErc+H3cpmYTpmg5aL7lcj4LBl8bWLGZ68qH2C0CjI+UxmXk/P+yp/RkM36kRgrhyKELOF0IsPzU7NY4j923+QMn/jG02zfNMYZY/GKU91LZXxmp7pXD55aJTM+s9PhNeNTKX8K6e0P7ufAyXk2rRjg5iu3dFyGWNrxmE5mSmYHAjx7dIZduyf43t5JUnnTiS8cH2Hn9nGu3LqGSEjrhVfieh75VbCyL7N4i6dnK9VsGhgMTCczPHloetn7CVmyKAAXKQq2ZYNnT09Mk3a9XAabBTjGMBgJcf3FGwprxYWKgnRFizdkn++Jg6f56k8nODqTYHx0oO2jww/vP8FnHniOkCUk0g7GGE4lMkRC/pXc8bkUv7vrSS7YMNr2Y1VKKVXZhpE4x+dSBRmDyYzH+pF4hUd1n07ItOqkwGczXo9aprqXyvgsCFQWZ3x6fpByqRmfpYKk5TI+i/ff7ozPjOvw3NQsTFW+34+fP770A2uQchmfpVZUrzV4Wfz4lYMR3vOGzYyP9dZnk+p+D+yd5JZdTxG2hbF4mMmZJLfseopPQNuDg8YY5tL+YiLJEtmBqYzLA89OsWvPBM8cXkhiiYUt3n7+OnZePM4r1wyV3Hd2deHReBhbKAiIZVl9NmYQCdk46cWvc/Y6WalW0sBg4KIzRvntq84hkXHzMuD8qaulAnALq64WBuvqqReXX2MwFrZyGXQfeWv1GoPl9vfXP3qBkCWMxsMlaxa2+mLn7kcOELKEeNjG8QyW5ddPmJpNYYxB8NPJ66mvqJRSqj1ufO0mbrt/H4mMW9Bu3fjaTQ19nnYG5pZT/7cXNev16KTAZzMUBD7dMoHNCtPcq2V8/tNjh5hNZwhbFgb/gj7jGWIhmyvPWc03nzhM2PazdUzwj8GQcQ2vPnOsYsZnuTqf3Zbx+c5t4xoYVB3n9gf3M51IM5108IwfDBuJhbj9wf1tCwxmXI+ZpMNMMlPy/+ahUwm+tmeCe588wnRyYfXhzasG2HnxOG8/f13ZxUJsSxiJhRmJL6wuLELJGoP9lkxslznfctuVaiYNDAa2rhtm08oBJk61bjrUZVtW8hG2cvcjBzgynWD9Mi9+8oNwAPGwTSLjcvcjB7hsy8qmdO6rXbzlTzsL2xaOZxCBtGsIW34hhYgti45VKaVU52l0u1VKuwNz1drSfqOvR/1aEdj+8qMHWDscRVi4gjQYZpIOH3rL2Tw/ObcouzeRcVk1GOV/vOuiZT9/qcBnpcWNygUdF09f9xbX56wQPC1+fPY5wrbFSFwvc1TneeLQSWZTC1NFPQOnEg5PHjrZ0uPIZgfOJDMkSmStuZ7hof3H2bVngkdeXDi2kCW8aetqdm4fZ9sZo2VLA0RCFqPxMEPR0KL7aKacr1RWZqXtSjWTtphtdtmWlQ3rLFar/dTozn0tF2/5085WDkaYnE6xUK3RgPGnexQfq1JKqc7UyHarlHYHojqpjmIn0NejPq0KbFeb1t/s7N6CjM9wQ3bZUK9YNZjLTlKqk+QHBfPNlNneaE4uO9DBKVHL7sRcmm8+cZivP36YyZmFggZrh6Nct20D1120IXftVspgNMRILEw8Uj7Ip5lyPqfMn7zcdqWaSQODPaRaJ7Fc5/6lE3P81pf31D2yXcvFW37HdCBiMzYQ4lTCwRaDiLBmOMpgJLToWJVSSvWnUm2V63k8dfg0N/31Q02fWtwvdRRrpa9HfVoV2K4W+GtFdq9Sqnsk0i7TyQzzaRdTtJiIMYbHD51m1+4JfrjvGE7edOLXbl7BzovHuXzLqrLBdtsShmNhRmIhQnb1BUdEBNvyF9vIrcbbhwsTlSuo0LtLa6lOpoHBHlKtk1iqc39qPs1syuH4XKruke1asgiKO6ZnjA3yf77dP57b7t+HJYLBNK1OlVJKqe5S3FbNpR2OTqew7dZMLW5VHcVuoa9HfVqVYVlL4K/Z2b1Kqc7meobZpMN00l+9vNhcyuG7zxzlnt0TvHh8Prd9JBbi6gvXc/22cc5YUX4QKBa2GYmHGYzYdQX1IiGL2SQYyQuCefTdKsaWULJeqyY7q3bQwGAPqdZJLNW5P5VwGI2FljSyXWsWQbmOqY5kK6WUKlbcVk0FU5lWD/r11Jo9tVgzrQrp61GfVmZYauBPqe4j4mfJldreKMmMnx04l1qcHQjw/NQsu/ZM8N2nJ0nk1bM7b8MwOy8eZ8c5a4iWWRnKEvGnC8dDRJdYE3D1YITjs+nc65D9vrrCFOVeNBQNFSzmkr9dqVbTd12PqdRJLNW5n0lmWFH0IZw/sl08+iP4DYII/NLrzuTPvvvskrMItEOrlFKqWHFbZYB1I9GCjnKza9xp+1RIX4/aaYalUqqS4TLBoOFlBoM8zzCT8lcWTpcoUpd2PH64b4p7dk/w5MR0bns0ZPHWc9dyw/Zxzlk3XHb/YdtiJBZmOBbCWmZK22zKWTRd1gTb+8kF46P87Mg0pxKZ3ArVY/Ewr1o/0u5DU31IA4NL0IzV5pq9gl3IsoiGLd56/lredv46RPwA3wfuepRjsykGIra/rp1AIu2wedUgZ60erJgWvmnlAGuGo3zuB89z8OQ842MDvO+KzVyxdc3C8iLBEJAhGA0y/qp5nvFvy353g589z+RWulNKKdUfSrWBf/aLFwPwW1/ew/G5VMH921njTkSwRbAsv66SILlMj2w7KghWUC/JCn5H4F/2TfG3P36RQ6cSnDEW59fecBZvetWagkE3yXt89vnKyc8Eyb9frn3FYIy/gmypDJX8TdnjLH46U9Ru57fn5I7Xf37/e/7jFh6T3ZZ9YlN0WZg7ThaON9sfyP6cPYZOphmWSqlKxkdjTCdnS25fikSwsvBcidqBAEdOJ/na4xN864kjnEpkcts3rYizc/s4V52/juFY+RWEBiJ+duBApHFhg6nZNLaAm3e4tvjb+8nNV27ht7+yh0jIwvUMtiVYlnDzlVvafWiqD2lgsE7NWG2uGfuMhm1iIYtY2CYassoWgv3wW87mll1PkXLc3PQsx4MPvvmVNdWK2HHuWnacu7bkbQ/sneT2B/dz4OQ8m1YMcPOVW8ret5Rs4+blXRy4nsHxFn52PT+o6Lr+906/YFBKKVWoWhu43Ays/OBctlmzrIUgVi4IJ2CLYFv+lxX8nB1Is2Qh2LcUD+yd5JP3/oywLawciHBiLs0f37uXeMSuq20sOrs6t3c/E/QHCvoGxuB5+T+D43m5fkKrNSrDstmDxkqp1iuXFVdPtpzjesym/JWFS9UO9IzhkRdPcM/uCf5t/4ncMIwlcMXZq9m5fZxXbxor255ZIgzF/NWFm1H3z/MMrilsqVwDVh8mhgj4g2XGgJEebr1Vp9PAYJ3ufuQAGcflVNol43qEbYvBiL2sWke1rGBXrXMYCVnEwzbxiE0sZNec4r3j3LV8Arj9wf0cPDnPxiUE8Ep5YO8kt+x6irAtjMXDTM4kuWXXU3wieM5aZBsrW8BGKFPqooDj+heMGdfLBRG94ELBcf3fNXiolFLNVU9Ao1q7etmWlXxEtvLlRw5w5HSCDaNxfunyM3nj2WsKsvIs8UfabUsKAnzlVlFstdsf3E/YllzWxUAkxHza4fYH9y+7ze0nIkLIrv1vms2ezP5sYGGQ0TVkPA/H9fsNnZSV2IxBY6VU+03NprGA/HCeRfVsOc8zzKUd5lIuiUzp7MDT8xm+9eRhvvb4YQ6fTua2rxqKcN1FG7juog2sGY6WfY5GTheuJByyyKSD2oZCLn093GeLj9z+4P5cP8U1C30W7ReodmhbYFBEPg+8E5g0xlxY4vZfAj4W/DoL/LoxZk8LD7GkF4/PMptyggwDwXENpxIZXG9xSnitqq1gV6pz+On79/Hx6Lm87bx1xMJ2Qy58ynWDl5L5164LoJBtEbL9VbLKyWYQ5GcauG5eJmLu98UjcEqp/tWt7VYr5E+vfXj/Cf7n958jZAsrBsKcSqT5zPef43fi5+WmzUpeBt/LJ2aZTjpY+Ptwg3bVmNlcSYsta4a48bIz232ay3Lg5Dxj8cLpWvGwzcGT82UeoUqpt0/ivzdzvwGUHGjM3+/GsTj/6U1beOPW1bkgYv7Ao+P6fYhmqmXQWCnVfVzPo/gKwwu2l5JdSGQ+5Zb83DHG8PThae7ZPcEPnp0ikzc/99VnjnHDxeO84ZWrys4eA4hHbEZiYQZbtOhFPGyRclw8zy8jIYBtwUC4vwKDzx6dLuj/OK7h+Fwax52u/mClGqydGYNfAD4D3FXm9heANxtjTorINcAdwOtadGxlZT9ss6MoIn6gKe0uvYNYbQW7XOcwYmOJMBK3SWZcvvTwAXZuP2MZZ1M9s2+pmX+dfAFUTwaJ43p+oNAzZBxD2vXIBF9aB1GpvvMFurDdyldqWi0sTK3NTpctrpOXq4Fn+d9zNfZy020XdvZfH3ucWNjKDQyFbZv5tMNdD73ENds2LDomxwuCN9bCBYHxPDLe0qftdqJNKwaYnEkW1GlKZFw2rhho41F1l0bMRqhlv1OzKf7g60/ziZ0XlN2v5/nZhrnBRg9/doLn5X72vKXPVKg2aKyU6lZ5KXKLtvtczzCbdJhOZkpOFQa//fjeM5Ps2j3Bc1MLCSqDUZt3XLCenRePc+bK8u2LiDAYsRkdCC95deGlOmfdCC8cm2Um6ZB2PSK2xXAsxFmrh1p6HO2WcYOklKAecLbLs5y4glJL1bbAoDHmQRHZXOH2H+f9+hCwsekHVYNIyCKV8UdscsvNG5ZVf6FS/STbEo7OJBmLhwsuvhoVZKuW2bfUzL/lXgAttz5ho4Rsa+E/SeHizX6w0PVIB9kDjuuR8TTbUKle1antVjRkMRq0EVa2Nl4QuMvWxhNo6rSgfPUODEVCFol0Y9vVTnTzlVu4ZddTzKedXPZXxjVaZLwOzZqNsJT9WpYQtWq7mM6WNMmvlZzdln9btjYiVB807hRaB1HVq1P6+O1SLrHA9UzVhUQAXjo+x649h7nvqSPMZafjAmevHeKGi8d563lrCz43ilkiDMdCjMbDFbMImynbHq4fDfV1e5hf6sL/fWG7Uq3WLTUG3wd8q90HAfCKlYMcOjXHbGqhFtJQPMQZY4NL7hwVr2C3YTTOr75xM1ddsJ5Y2GbzqkE/yGY3Psug2gXcUjP/lnMB1KyMgEbzMw/tktOWjTFk3IXpytnv2enK2YxDzTpUqme1rN0ajIZaNv2nFvUODG1dO8yLx2eZTixkDowMhtm8qr7MgU6/2GxWTd9+0qzZCM2e5WBZglVjrWTwZyv8xo5X8olvPE3G9YgF/SjPwHve8ApiYbugLEq7aB1EVa9u6eM3U7n/sQY4fLp0RrDjevzouePs2nOI3QdO57aHbeEtr1rLDdvHOXf9cMUse9sSRmJhRoKBxHbS9tCXnZGR/54Qemu2hOoenXMlUYaIvAX/AuuKMrd/APgAwJlnNr/+UDa7b/VQqCC779WbRpfVOXrdK1fxtvPXMRIPLUrnbmaWQbULuKVm/i3nA78XCrSLCJFQ9Q/17FQkP+PQzzRsZQ0jpVTjVWu3gvu0tO1qpXrbrEZkDnTLxeaOc9d21PF0m2ZNx+60ad4h2+KqC9cTCVlV+1HG5NVIzhuAzK7K7LjNCyBqHcTOUkMdXAFuA64F5oH3GmN+Etx2dXCbDdxpjPlkM47x9gf3M51IM5108Iy/Su5ILNRVffzlsgRK5QWUumqYmknx9ccn+MYTRzgxt7A4yfhYjOu3jXP1hesZLRrUKBa2LUbiYUZioY4MOPXzlU52QayCbWjGoGqPjg4Misg24E7gGmPM8VL3McbcgV/HiUsvvbTp/4uKs/vWB5mBS+0cZVd/GoqFyo7eNHNUpdoF3HKCkuUugKpldXRyfcJGy05FKpfsk80uzBY+T7seaccj4+rqykp1olraLWh929VK9bZZjWjjemFASVXXrIHSTp3mXUsgWUQI2+WzEbN9rpdPzLFxbID3vmEzl21ZSSZYiblc/bJaaB3EjvMFKtfBvQbYGny9Dvgr4HUiYgOfBd4OHAQeEZFdxpinG32ATxw6yWxq4T3nGTiVcHjy0MlGP1VHSmZcBiI2syl30W0DEf8/sWcMP335FPfsnuDHzx/LBREtgcu3rOKG7eO85hUrsKoE+aJhm9F4mKEOmlGQ1S2Dec3mlJk5Vm67Us3UeZ8UARE5E/hn4JeNMc+2+3jyXbZl5aJg359/79m6OkcDkRAj8VDB6HQlzcoyqHZB1uigZC0NQaeN3LdTdrpyMWP8hVBSjkcq45FyXA0WKtVmndxutVq9bdZy27h+GlDqZ80aKO3VaW35fa4VAxGOzaX443v3Fiyqki194nherhC+43kYQ64MijGUzDrsljqI/aJaHVzgBuAu43cWHxKRMRHZAGwGnjPG7AcQkbuD+zY8MJjI+O+h/JiWMTCf6d3+q+N6zKYcZpIOGdfj7DXDvHBslumkg8HPFByJhdi0coB/fOwgX9szwcGTC9ePKwbCXHvRBq7btoH1I7GqzzcUDTESD5csddQpdDDPlw0ASvYf42cMamBQtUPbAoMi8iVgB7BaRA4CvweEAYwxnwNuAVYBfxmkPTvGmEvbc7TV1dI5EhEGozZj8UjLiqrXUnOp2gVZI4OStTQEnTpy30lEhGjI9qedB30EYwwpx88qdN2FYuY6LVmpxui1dqvTLKdGoA4o9Y9mDpT22gVpLX2ubOmTCNX7pdlByYxryDge733DZv7k23tJOi7RUOHieaojnQEcyPv9YLCt1PbXNeMAcgPY2YhYjy624HmGubTDbMohkS7MDrzxtZu49dt7CYcEzzMgfnu198gMT05M5+63beMoN1w8zhVbVxOuskiIiDAUDTE2EK56305w4OQ8qYzDC8fmclPKVw2GSTv9tXijJULI8hcgya5KbAtVs0GVaoZ2rkp8U5Xb3w+8v0WHs2zVVhYejvm1HZa6+tNSLphqyc5rdbH2WrI6enXkvtlEhFi49GIo4I9YZlxD2vEzDFPO8qYQKdVveq3d6iTLnVbUjwNKnb7YSqP12/k2QqMzaRcGJYEo/PwlZzA2EPb/LifmOGPFAO9741m8Yetq3CALMTtI2cxah6pmpaINpsL2xTtYZn3coWiIubSDyQuEWAKDNc6g6nSJtMtMKsN8yq34XjfGBIP4uS2AP5347eetY+f2cc5aPVj1+SwRhmIhxtq4wvCSeB5Ts5mFXw1MzWbYONpF59AAW1YPsm9ylrAtiJDLzt5Sw99eqUbrjU/hDlCq9uAvX34mV124nqHo8oq9LvWCqdpIcTPrO5TrwNea1ZF9/uw+bn9wf8F2Vb+QbRGyIR6xCZKc8LyFKcnZzMLl1hxSSql6LXdaUT0DSr0QYOq3+kz9dr6N0opM2mymZfb/1Se+8XTF/1fFi66lXDeXgahBw6Y7COSnc24EJoBIme2LLLc+7vuvOIs//+4+f1/BP8b427uV43rMJP3swGr954Mn5/l/v/NsbvGVrLAtrBuO8blfvqSmMlMhy2IkHmI41v4VhpfiRMIBFk+hzW7vFx+7+lz+61f2MJN0cFyPkGWxYiDMx64+t92HpvqQBgYbKFt7cDAaYrSBtR2WesFUbaS4WfUdKnXga83q0IuA1rAsIWYtzjLM1hzKBgnTwRRlrWOolGqGRmQ21TIVtFfaln6rz9Rv59sorcqkref/1eJF1xb+32fLn2RcL/h5oSSKZhs2xC7gw0ENwdcBp40xh0VkCtgqImcBh4Abgf+jGQewbeMYI/EQ03kBoJF4iG0bx5rxdE1jjGEu7TKbdJhPVw5muZ7hx88fZ9eeCR57aWGRFcHPoByLh4mGhdmUWzUoGAlZuQVFOnGF4VqlHA8L8CCXm2oF2/vJjnPX8ql3X6yz5FRH0MBggzSztkO9F0zZUdupmRTHZlKsH40xHPMfnz9SXOt+682uqNSB/9IHLq8pq0MvAtorV3OoRC3MbGFyzyMIFi5kGzqeBg6VUrWrtb2qdT/V2qleaVv6bbGVfjvfRmlVaZZG/b/KLrhWbmDd8/x+huP55Xpc188+zE5V7vc+SA11cL8JXAs8B8wDvxrc5ojIh4FvAzbweWPMU804xtsf3E88bOO4/oyViG0RD9td8xmczLjMphzmUg5ulQUijs+m+OYTR/ja4xMcm03ntodtYSBss2ooQsjy+9mJjFtx0Z6BiJ90Eo907oIi9YjYQqLo9fOAuN29wc6l6sX6tqo7aWBwmVpR7LWeqSD5o7brR6IcOpXk4MkEZ4wZQrZVMFJcy36Xkl2R7cDPJDNMzaRIux5hSzid8GtJ1PIBqBcBnSt/peQ4izsojusFHXd/pD8/kOgEHfhqnSmlVO+rp72qdT/V2qlq7VO36LfFVvrtfBupFRedreqzWZYQsSovlJLNMOzC2ZXLVkMdXAN8qMxt38QPHDbVs0enOTGXyRUwzLgu82kXp4NL2GRcj9kapwobY9hz8DT37J7gR88dy/V3BXjtWSu54eJxBPjUfT/j4MkErmewLWEwGuJDO84u2Ff2GnM0Hm7ZopWtsnooyoGTiYLilibYrpRqDw0MLlGtC4o0opZR/lQQx/U4OpMi4xoitsUDeycL9lc8agvC0ZkkR6ZTXHLmioLnr2WKyVJGgTetGODF47Mcn834qytZQsYzzCSdRcdbjl4EdK9sLcNKTLYYuWdIZvyFUFIZD8fr3I6hUqqx6mmv6tlPpXaquH3CGBIZw3wmzTV/8SAfu/rcrhi5r9R+90INxWL9uLhMN+mkPlv+4KXqPDNJZ9GqJgaYTnZWbTljDPNpl+lkZtGqwqXMphzue+ooX9szwUsnFgLiI7EQ1160gXdu28D4mJ8R+PD+E6SDzzADeK4hnVl4DtsSRmJhRuLdWT+wFgZYOxTh2Fw6tyrxmsFIuw9Lqb6mgcE6hW2L0YEwwzXUdmhULaPsVJBPfusZXjyeIGxZbByLkXa9RfsrHrUdiYcZjoU4ncjwpQ9cXnK/2SkmQ9EQYcvw3+95kk0P+hcT9YwCZy9G9k3OcHwujQAR28IEsZ4Vwcp1QNWLFr0I6G0iQsgWQjYFU4Yc1yPpeKSywULH6+tpQUr1snraq3r2A+XbqZuv3MLNX3wMg8F4hkzQPtkCLxyb65p6g+WmiAI9UUOxWK8tLtPqY2z282mfTdUq45bu05Xb3mppx2MmmWG2hqnCAM9PznLPngm++/RRknn18c7fMMLO7ePsOGfNomy/Ox58nqTjEbIWVqJNOh53/PB5rr14Q03XmN0uO5iwbnRh+vR82mHtcKyNR6VUf9PAYI1iYZvReJjBaO0vWSNrGe04dy23P7ifzZ4pGJGdTzvceu/eXIdvOpHB9TxWDy18sCYyLoMRm5vueGhRpzB/Nbn8i4kXjs1y8xcfw/MMx2ZTrBuOMRIvX/epcEpYjBNzaYzxa9DFwzarh2IMx0LsOzpd00VLq+riqM4Ssi2GbIuh4P+ZMSYXIMwGC3XFZKW6W6PqCmbVk62049y1DEVtkhmP+bSL4A/4WZY/BTFsS9fUuio1RfSmOx7q6BqKywlQNWpxmXYHDlu9AE4rnk/7bKpW5UJt7QwLep5hNu0wk3RIZapnB6Ydjx88O8WuPRM8NTGd2x4LWbztvHXcsH2cs9cOlX38gVMJAL8mJv40Y0vg0KkkI7Fw2cf1Eh1MUKrzaGAw8MDeSf7yged56cQcG0bi3PjaTbz+7FUMRf2l4JdS26HRNVdK7c9xPV48Ps/mVQOMxcM4rsfkjF/gdtVglETG5XQigwAZz5TtFOYHMacTGY7P+fuwBBzXcOhUAihf96k4CBoP27miwlvW+I3jfNoh7RpGq1y0FHfa//CGC7Vz2adEhFg4KEQevPddz5B2PFKOG3z3+r7guFLtDnbUqlF1BfPVe4FxzroRJmeSvHxiHlsEEcEzJlcEv5tr2XZyfd5WBKiqDch2wqrUrV4Ap1nPV+ozp55MX9WfBsI28yWCbwNlFpxppkTaZSaZYS7t1tSHPHw6wdf2HOZbTx4pqEv7ipUD7Nw+ztvPX5cb2K7EeIbiBEnXgNVH9bd1MEGpzqOBQRY6q7bl14I4MZ/iM99/jnUjUd5y3rol77fRNVdK7e/odKqgw7cmSMGeS7mErAwbVwwQsS3SrlexU5h/MXFsNoWFIEEGxcYVcY6crlz3qfhiZM1wlEMnE7mpoNkLtUjIv/DKl3/R0gmddtXZbEuIR+yCldmMMWRcv+B4Osgq9FdM1oCh6n3d9LnZqLqC+eq9wMgGEm1L8DxDUGqQNcPRrq9l20m13oq1IiBWLTDaCatStzp424zn66bPHNVZ3nHBWr66+3DJ7a2QcT1mkg6zSaemutauZ3jkxRPcs3uCh184kctstC3hTWevZuf2cS7eOFrz1F8RIRyycDKev/CGkEuXDPfYAiPV6Gq8SnUWDQyy0FGMhW2MgWjIzzi444cvLCsw2Og06UWLkEynSDoeUVuYTmRyU31XD0U5ncjww4+9FYArbr2/aqdwKGLz3NSsvyCEawhZgmWEiG0xHAszFK1c96n4YmQ4Fmb1sMtcys9YzF6o3f7g/ooXLZ3QaVfdR0SIhIRIyGIwb0EzDRiqftANn5vZ7KKHXzxBLGSxeijKSDy85LqCxeq5wMiv27tvapawCOtHo/5CWV0+lamTp2c1K0CVn7U2FPHPuVwfoxMyKlsdvG3G83XDZ47qTEem06wcCHMqkcktOjEWD3NkOt205zTGMJvypwona5gqDHByPs23njjC1x6f4Oh0Krd99VCEd27bwHUXbWBVHSvoWiIMx/wVhgci/qwqz/MHpQSwLRgI91dgUCnVWTQwyEJHUUTIrpveiI5io9Oks/u79d69vHh8nrAtRCzwgInTfr2KkXh4UYevWqfwgb2THJ9L47iG7OJXGc8QAjaMxhbdv5RSFyNh2+bTN25bdL6VLlo6odOueke5gCGQCxRmg4X+7xowVN2n0z8387OLoraQdr2KbVYr5NfXzbbRa4djXT+VqZOnZzU6QFUqa206kcll9JTqY3RCRmWrg7fNeL5O/8xRnevAyXnGx+Kckfd/zhjTlPdOIu0yk8own3LxaujbGWN4amKae3ZP8OC+qYIFUV7zihXsvHicN7xyVV0rBZdaYficdSO8cGyWmaSTK7s0HAtx1urydQmVUqrZNDDI8juKlWo7NTpNOrcIyaoBBiIhZpIZJk4lMfiLhITsxRkP1TqFtz+4n5FgYZWpmRSO52KCUbyhqD8KXK0TWevFSLX7dUKnXfWHSMgqWTs0Fyx0FrILM45XU6dSqXbo9M/N/OyitSOxqm1WNY2sp9iLU5k69ZwaHaAqlbUGELEtxgYiJfsYnZBR2ergbTOer9M/c1TnavZ7J+W4zCYd5lJuTVOFwa+B/t1nJtm1Z4L9U3O57cOxEFdfsJ53btvAppX1HV/IshgNMuKtokBi9nNo/Wio4zK7lVL9SwODLK+j2I46K/kjtcOxMONjMDmdJOl4JTMeqnUK8zMmsytDTifSHJlOFUwDrnY+tV6MVLpfJ3TaVX8L2xZh22IgUrjdyU5DdoyfYeh6PR0wfHj/Ce5+5ACTs0lesXKwY7KO1IJsgOzZo9PMplxWDoZzi0510udmvW1WJVrbrHs1OkBVLmvtdCLDtz56ZUuOYalaHbxt9PNpX00tVTPeO65nmE06zKQypJ3agoEALxybY9eeCb7z9FHm0wtTjF+1bpid28d5y6vW+Ivf1SEathmNhxmM2GXrDnbK55BSSuXTwCDL+4BudJ2VWjIh8usBRmy/VtOGsThrh2NlazRV6hSWGr0L2RaXnLli0f6avfKlNpaqU4Vsi5BtQYmAYcY1edOR/S+3i1eXe3j/CW67fx8hSxiNafClE+UHyDaMxjk2m+LEXIaMa9i6drijPjdL1aC1LanYZpXTa7XNmtmmduJK1Y0MUC0182i5x9CJr2uraV9NLVUj3zvzaX8RkVpXFQZ/VsgP9x1j154JHj94Orc9ErJ4y6vWcMP2cc5dP1L3sQxG/fqBtQYSOzWzWynVvzQwGFjqB3Qj66zUkglRXA8w43ocOpVgbCDM7153ft3PCbWP3rUqU0MbS9VN/IAhxCnsDLqeyQUJHdeQ8fwAotMFQcO7HzlAyBLiYX/Eu9uDL72oOEC2ZjjGYDS0pGBbszUyQ6SXaps1s03th8zKdmSt9cPrWivtq6mlWs57p95VhbOOTif5+uOH+eYThzk5n8lt37gizvXbNvCOC9bnFnGslYgwGLUZi0dKlqZRSqluooHBZWpkrYxaMiGK6wGmXY+QJawZii57UZPi0TuAm+54KDcqfnIutaxMDR1lV/3EtgTbskuOHnuen2HoeH79wowXBA87JGh4eDrBSKyweejW4Euv6qYAWSMzRIrb3OlEhqMzSYzx26ul7rcd7VMzsx97LbOylHZkrfXD66pUp/E8w1y6vlWFATxjeOylk9yze4KH9h8n272yBN7wytXsvHgDl7xiBVaZKb/l5K8wHLI1IKiU6g0aGFymVmdClKoHaIzhdCLDcuSP3j2wd5JPfusZ9k3NErYs1o1EmZxJ8uLxOTaOxUseX7WLKh1lV2qBZQkxKwgYFq2W7HmF2YXpIOPQcU1do+PLsWEkzvG5FPG8oKYWlu8s3Vb8v1HZRfltruN6HDqVBOCMsdiS25V2tU/NDO52U+B4OWp5XzUy6Luc11UHR5WqTzLjMp2sfVXhrNOJDN9+6gi79kwwEbQRACsHI1x30Xquu2gDa0didR+PbQmj8TAjsfCiBUWUUqrbaWBwmZqZCQGLL/SafTGYvUCanElii2CAw6dTjI/FCFsWE6cSHJtNk3Y9IrbFcCzEWDxc9aJKR9mVqo1lCVHLJlri0zkbNMxmF2aC740OGt742k3cdv8+EhmXIUuYT2th+U7Tr8X/89vcn7x8kpAlrB+N5QbKltKutKt9amZ73m2B42ZpdNC3VI3nkC1VX1cdHFWqNo7rMZvyswMzbu39GmMMe4/MsGvPBPfvnSTjLgQSt28aZefFZ3DF2auWlOEXti1G4mFGYqGyC4oopVS308BgAzQjE6LchV6zLwazF0iuZ7BFEBE8DFMzKYZjNlOzHrgelkDa9ZiaTROyhGjYrnhR1S/ZC0o1U6WgoTGmILvQn6rsr6Jcb9Dwsi0r+QhbufuRA0zNJjlTVyXuOP1c/D/b5l5x6/25DPqspbQr7Wqfmtme92vguFgjg77LqfGsg6NKlWeMYT7tMpN0mE87dT02mXG5f+8k9+yeYN/kbG77YMTmqgvWc/3FG9i8anBJx5VdYXioVKdLKaV6jH7SdZBaL/QGwhYvHPcvWLasHuR3rzu3YR3L7AVSxLZwXIMISBAEdFOGiC2EbSuXMTgSDzE1m2br2qGC/RRfVC03e0Gn4ChVmYgQDZUPGuZnF/pTlRcyD0u5bMtKLtuykrUjMe0Ud6huKP7fzM/uRmXFtSu7rpnB3X4OHOdrZNB3OTWedXDUp305lS/teMwkM8ymnLrrK798fJ5dj09w31NHmU0tBBNfuWaQG7aP87Zz1xGP1LZCcLGBiF8/cKmPV0qpbqRXex0mf+rtgZPz3P7g/tz2/KkoW9cOkci4zKVrL8Jbi+wF0uqhKBOnE+CBwc8ezLiGjWMxRuKR3P2NMZyYy5DIuBUvqpaTvaBTcJRaHhEhEpKSq+Zlg4aOVzg1ORMsjqJUNeUu9pv92d2orLh2Ztc1M7jbDYHjZmtk0Hc5NZ51arf25dRiU7MpUnUsJuK4Hj9+/jj37Jngpy+fym0P28Kbz1nDDdvHOX/DyJKm+2ZXGB6Nh4mGNCColOo/bQsMisjngXcCk8aYC0vcLsBtwLXAPPBeY8xPWnuUrffp7z7LZx94HtczREMWjutxy66nePfBU9z5oxeYT7tEQ35dm5F4eNFUlOWOxmYvkMK2MD4a4+hMCsf1R+DAzxzMl8i4rB2OcvBkInfMw7EQkZBdcFG1nOwFnYKjVPPkgoaUrrtj6ij43eu03Vqs0sV+sz+7G5UV1+7sukZkUbUqE6vbMr4aGfRdTnDv9VtWFvTtSvWTep325dRSTc2k+MYTh/nGE4c5PpvObd8wGuP6bRu4+sL1jA1EKuyhPMlbYTisKwwrpfpYOzMGvwB8BrirzO3XAFuDr9cBfxV871kP7J3ksw88j2cMIUtwXMPxuTRDUZvPPvA8jufltk+cTgAwHAvlpqI0YjS2+ALp1ZtWLMr+yO9gTycyGGDlYJjT8xmSjoszb/jQjjMXPedSsxd0Co5S7aOFtgt8AW23ClS62G/FZ3ejsuLalV3XiHa7VZlY3Zjx1cig71KDjA/sneQrPzlUUz+pl2lfTtXDGMNPD5xi1+4JfvTcMbITGAR43ZaV7Lx4nNduXom9xNWBbUsYiYUZiYeXvA+llOolbQsMGmMeFJHNFe5yA3CX8dNVHhKRMRHZYIw53JojbL3bH9yP43mEbQtBEAE8OJ1wsESIhWwcz2BZAh4cm00VrIbXqNHYchdIpTrYYUvIeIaBSIjVQzHAXxXyX/ef4DeX/Yr4dAqOUqoTaLu1WKWLff3srq4R7XarMrG6NeOrkcHjpQQZs6/baDzWtH5SN9DPA1WL2aTDfU8fYdeew7x8YiFoPBYPc+1F63nntnHWj8aWvP+Q5ddHH4mF/esppZRSQGfXGDwDOJD3+8FgW09fYEVtC9f4C36A/90zEA9brBmOMnEqiYcBMaQcvzbY67es5KY7HuLhF08Qy5tmDM3PzsiuCjmdyHBs1i/GbYnw0vE5rrj1/oZMNdLVFZVSXaLv2q1KF/v62V1dI7KoGpWJVW2asGZ8LS3IWPy6ZftLLx6f56Y7Hlr0OnfbdO1a6eeBquTZozPs2jPB/c9MknQWyhZddMYIOy8e501b15Ssk1yrsG0xOhBmOBrSmRBKKVVCJxdTKPWpvajYlYh8QEQeFZFHp6amWnBYzbNpxQCjA2GMAc8YDAbX+CsDD8dCDMfCjI/F/OnEnmEgYvPuS87gKz85xORMkqgtpF2PidMJpoNi2M0ejd20YoBjsykmTidwXAMGUo6H44Et5KYaPbB3csnPsePctXxi5wWsHY5xOpFh7XCMT+y8oCc6ykqpnlJTuwW903bdfOUWMq5hPu1gjP89e7Gvn93VbVoxQKKo+H697XYj9pGdJjw5kyyYJpzfdjfiefpR/us2ncgwcTpB2vWI2rLoda7l79Ct9PNAFUs5Lvc9dYQP/f1P+OAXf8I3nzhC0vGIhS2u37aBv/6V13Dbja/mbeetW3JQMBq2WTcSY9PKAUZiYQ0KKqVUGZ2cMXgQ2JT3+0ZgovhOxpg7gDsALr300q6ukp8dTV01BKfnM6Rcj5Bl8fMXr+exl08zn3YYioawLX+F4E/svKBgas/akRgTp5IYTG6acbNHY2++cgs3f/ExAMQCx/H/BCFLODabZsuaoYZMNdLVFZVSXaCmdgt6p+2qNr1SP7sra0QWVSP2Ucs0Yc34Wpr81+3YbAoAQVg7Elv0OnfrdO1a6eeBAjidyPCX33+Oux85ULCq9ytWDfDz28f5ufPWMRhd3iVqPGIzFo8Qj+gKw0opVYtODgzuAj4sInfjF28/3ct1mqDoAssqvMDKTi0pvvD67/c8mZui4mcUwuR0kqTjsXY41tQpKNljyrgexoAxgIGILVgiuRWM+22qkVKqb/VduwV6sb8cjVgcoxH7qGWacLtXb+4G5aYBZ1+3F4/PE7X9oOBwbHHJF52urfpBNGTx5Uf9oKBtCVduXc3Oi8fZtnF02Rl9g1F/heFYWAOCSilVj7YFBkXkS8AOYLWIHAR+DwgDGGM+B3wTuBZ4DpgHfrU9R9palRb+KLW9uL6TMeDhZ+w1U/7qhPGwTdr1EIRQSDDBcURsP+1fpxoppXqBtluqGRoRWF3uPmpZGKJXa981SrVVm3ecu5ab7nio4uusC3So5RCRq4HbABu40xjzyaLb/yvwS8GvIeA8YI0x5oSIvAjMAC7gGGMubdZxxsI2v/7mV3J8Ls1V569j5WBk2fscivkBwWhIA4JKKbUU7VyV+KYqtxvgQy06nI5VrSOeP0XFcT0OnUoCcMZYbFGntJHPnz/dZfVQlInTCQwGY8ANJsWtH4oW1JtqNr1oUUo1k7Zbqp2a2cZVmyZcLejVrRr5mjZiOrZO116+fu0LiogNfBZ4O35Zi0dEZJcx5unsfYwxnwI+Fdz/euC/GGNO5O3mLcaYY6043pvf/EoOnUqQKqpbWg8RYSgaYmwgTNju5LL5SinV+fRTtIPVUoQ6v5jzxOkkrmcwwLHZNK5nCNvC7Q/ub/jzHzg5TzxI0x+JhxkfjROxLRwDW9cOcfaaQTxDy4pL93LBbqWUUv2t2W1cuYUhAH/l3C8+xuS038cQ8YNfy+lfdIJGv6b5/aKsktOxKyzAoQt0LE+f9wUvA54zxuw3xqSBu4EbKtz/JuBLLTmyBrNEGI2H2bQizprhqAYFlVKqATq5xmDfq2X0OTsyum9yhoxrsAXCtr9q8cSpJBtGo0uuTVPp+Yunu4zEw4RsYe1wjC994PIGnH3jjlU71EoppbpZM9u44gyrP7zhwlxt42yWoGcMAkycSjI+5tc07vbad41+TWudBlxt2rfW7Fy6Pu8LngEcyPv9IH6t20VEZAC4Gvhw3mYD3CciBrg9WCCro9iWMBILMxIPYze5ZJJSSvUbHWLpYNVGn/NHRudTDoI/jdfz/NE0ETg6nVpybZpKz3/zlVvIuIb5tIMxpqVThus9VqWUUqqbNauNq5RhlR9kidgWgt+vmJrxV9bt9tp3jX5NO61f1I/6vC9YKlJWbsX764F/KZpG/EZjzCXANcCHROTKkk8i8gEReVREHp2amlreEdcobFusHo5y5soBVgxGNCiolFJNoIHBDrZpxQCJotobx2ZTnE5kuOLW+/nNu39KxnUZiITIeIZQ8Nf0Vwk2GGPIeN6SO6Wlnj97IdBp010qHatSSinVzept4x7YO8lNdzzEFbfez013PFR2KmV+8K94inB+kGX1UBQPv1+RctyeCHo1ut/Qaf2iftTnfcGDwKa83zcCE2XueyNF04iNMRPB90ngq/hTkxcxxtxhjLnUGHPpmjVrln3QlcTCNutHY2xaOcBILLzsFYuVUkqVp4HBDlY8+jw1k2RqNs1g1GYsHmY+7XJsJs1MMkPEtrAsi3DwF3WNwbKErWuGltwprTb6vePctXzpA5fzw4+9lS994PK2dn51pF4ppVSvqqeNq6fOWqUMq/wgS7aWsGUJtmX1RNCrGf2GTuoX9aM+7ws+AmwVkbNEJIIf/NtVfCcRGQXeDNyTt21QRIazPwNXAU+25KhLiEdsxsfijI/FC6bmK6WUah79tO1gO85dyyfwR/QPnpxnPu2ydjjC6qEYANGQRdr1mJpJsWY4ysSpJIgwELFYPxoj4xo+fs15DXv+jVVWd2vnSnD1HqtSSqn+0e0rldbTxtVTZ61SXbziFXKzdYS7PSCYpf2G3tPPf1NjjCMiHwa+DdjA540xT4nIB4PbPxfc9V3AfcaYubyHrwO+GmTkhYC/N8bc27qj9w1GQ4zGw8SKBiuUUko1nxhTrvxE97n00kvNo48+2u7DaJorbr2fsfhCKv10IsPE6QSeMZy3foTjcylOzGUYjtpsXTfS0s5QfpHyeNgmkXHJuKZnLiCUUksnIo8ZYy5t93F0ql5vu9qt39qn4r4CgDGG04kMP/zYWwvuW+21yQZU+y3IopS2W9Utt+06dCpBKuMyFA0xOhAmGtKAoFJKLcdy2i7NGOwipVYC9mv9uJxOZNi8aog/fld7Ou19vhKcUkqpDtVv7VOtq+NC9QwrXSFXKdUsgxGb1UMRDQgqpVQH0MBgFyme1pPIuERCNp/8hW1t77gfODnPWDxcsK2PVoJTSinVofqtfSrVV6hUZ02Df0qpdhgbiLT7EJRSSgV08ZEu0skr3vX5SnBKKaU6VL+1T53cV1BKKaWUUp1HMwa7TKeO7NeboaCUUkq1Qj+2T53aV1BKKaWUUp1HMwZVQ2iGglJKqU6k7ZNSSimllFLlacagahjNUFBKKdWJtH1SSimllFKqNM0YVEoppZRSSimllFKqD2lgUCmllFJKKaWUUkqpPqSBQaWUUkoppZRSSiml+pAGBpVSSimllFJKKaWU6kMaGFRKKaWUUkoppZRSqg9pYFAppZRSSimllFJKqT6kgUGllFJKKaWUUkoppfqQGGPafQwNIyJTwEslbloNHGvx4XQKPff+pOfenzr13F9hjFnT7oPoVBXarmKd+vdtFD2/7tfr56jn1/1qPUdtt6qoo+0qpx/eb9Xoa6CvQZa+DvoawPJfgyW3XT0VGCxHRB41xlza7uNoBz13Pfd+o+fen+feD3r976vn1/16/Rz1/LpfP5xjt9C/hb4GoK9Blr4O+hpAe18DnUqslFJKKaWUUkoppVQf0sCgUkoppZRSSimllFJ9qF8Cg3e0+wDaSM+9P+m596d+Pvd+0Ot/Xz2/7tfr56jn1/364Ry7hf4t9DUAfQ2y9HXQ1wDa+Br0RY1BpZRSSimllFJKKaVUoX7JGFRKKaWUUkoppZRSSuXp+cCgiFwtIj8TkedE5OPtPp6lEJFNIvJ9EXlGRJ4SkY8E21eKyHdEZF/wfUXeY/5bcM4/E5F35G1/jYg8Edz2aRGRYHtURL4cbP83Ednc8hOtQERsEfmpiHw9+L0vzl1ExkTkKyKyN/j7v76Pzv2/BO/3J0XkSyIS69VzF5HPi8ikiDyZt60l5yoi7wmeY5+IvKdFp6zqID3QjkHj3uedShrYVnei4DP4YRHZE5zfHwTbe+L8sqQB/Y1OJiIvBu3EbhF5NNjWM+coDeo3qeYq9T7sN6Xeq+0+plYSkVcFf//s17SIfLTdx9VqUuJ6p93H1Goi8pHg/J/qp/dAvf3ipjPG9OwXYAPPA1uACLAHOL/dx7WE89gAXBL8PAw8C5wP/Anw8WD7x4Fbg5/PD841CpwVvAZ2cNvDwOsBAb4FXBNs/w3gc8HPNwJfbvd5F70GvwX8PfD14Pe+OHfgfwHvD36OAGP9cO7AGcALQDz4/R+A9/bquQNXApcAT+Zta/q5AiuB/cH3FcHPK9r999evgvdGT7Rjwbk05H3eqV80sK3uxK/gc2Uo+DkM/Btwea+cX955Lru/0clfwIvA6qJtPXOONKjfpF+tfx/221ep92q7j6mNr4UNHAFe0e5jafF5l7zeafdxtfg1uBB4EhgAQsB3ga3tPq4WnXvN/eJWfPV6xuBlwHPGmP3GmDRwN3BDm4+pbsaYw8aYnwQ/zwDP4H+Q3IDfqBB8//ng5xuAu40xKWPMC8BzwGUisgEYMcb8q/HfbXcVPSa7r68AbxPxs43aTUQ2AtcBd+Zt7vlzF5ER/A+MvwEwxqSNMafog3MPhIC4iITwG4sJevTcjTEPAieKNrfiXN8BfMcYc8IYcxL4DnB1o89PLUtPtGPQmPd5K45zqRrVVrf0oOtgfLPBr+Hgy9Aj5weN6W+06FAbrSfOsVH9plYes+pPFd6r/eptwPPGmJfafSBtUOp6p5+cBzxkjJk3xjjAD4B3tfmYWqLOfnHT9Xpg8AzgQN7vB4NtXUv8KYCvxh+pX2eMOQz+BQmwNrhbufM+I/i5eHvBY4L/lKeBVU05ifr9BfB/AV7etn449y3AFPC3wbSmO0VkkD44d2PMIeBPgZeBw8BpY8x99MG552nFufbcZ2QP6vW/Ub3v866wzLa6YwXTbHcDk/iDCj11fjSmv9HpDHCfiDwmIh8ItvXKOTaq36Sar9T7sJ+Ue6/2qxuBL7X7IFqtwvVOP3kSuFJEVonIAHAtsKnNx9RO5dqrpuv1wGCp7J+uXYZZRIaAfwI+aoyZrnTXEttMhe2VHtNWIvJOYNIY81itDymxrSvPHX8E6RLgr4wxrwbm8FOKy+mZcw/qKdyAP7VnHBgUkf9Y6SEltnXludegkefara9BP+nXv1HXnncD2uqOZYxxjTHbgY34mcoXVrh7V51fA/sbne6NxphLgGuAD4nIlRXu223n2Kh+k2q+et6Hvaje92rPEpEIsBP4x3YfS6st4Xqn5xhjngFuxZ+1dC9+eQenrQfVp3o9MHiQwojzRro0PVdEwvgXGn9njPnnYPPRYPogwffJYHu58z4Y/Fy8veAxQSrzKItTW9vhjcBOEXkRfwrdW0Xki/THuR8EDgYZGeBPAb2E/jj3nwNeMMZMGWMywD8Db6A/zj2rFefaM5+RPazX/0b1vs87WoPa6o4XTHl7AL/0QK+cX6P6Gx3NGDMRfJ8Evoo/dbZXzrFR/SbVZGXeh/2k3Hu1H10D/MQYc7TdB9IG5a53+oox5m+MMZcYY67Evz7Z1+5jaqNy7VXT9Xpg8BFgq4icFYxG3AjsavMx1S2oBfY3wDPGmD/Lu2kX8J7g5/cA9+Rtv1H8lUjPArYCDwfpqDMicnmwz18pekx2X+8G7g/qlLWVMea/GWM2GmM24//97jfG/Ef649yPAAdE5FXBprcBT9MH546fUn+5iAwEx/w2/Hpd/XDuWa04128DV4nIimDU8qpgm+ocPdGOVVDX+7wNx1ezRrXVrTreeonIGhEZC36O41/Q7KVHzq9R/Y0WH3ZdRGRQRIazP+N/5j9Jj5xjo/pNLTzkvlThfdg3KrxX+9FN9OE04kC5652+IiJrg+9nAr9A/74foHx71XymA1ZkaeYX/jz1Z/FXGvuddh/PEs/hCvypDY8Du4Ova/FrhH0PP6r+PWBl3mN+JzjnnxGsTBpsvxS/8X0e+AwgwfYYfgr3c/idoi3tPu8Sr8MOFlYJ7ItzB7YDjwZ/+/+Nv3Jsv5z7H+BfdD4J/H/4qwb25LnjN4CHgQz+KPL7WnWuwK8F258DfrXdf3f9Kvn+6Pp2LDiPhrzPO/WLBrbVnfgFbAN+Gpzfk8AtwfaeOL+ic93BMvobnfqFX9dsT/D1VPbzpMfOcTsN6DfpV1P/RiXfh/32Veq92u5jasNrMAAcB0bbfSxtfA0WXe+0+5ja8Br8ED8wvgd4W7uPp4XnXVe/uNlf2YtGpZRSSimllFJKKaVUH+n1qcRKKaWUUkoppZRSSqkSNDColFJKKaWUUkoppVQf0sCgUkoppZRSSimllFJ9SAODSimllFJKKaWUUkr1IQ0MKqWUUkoppZRSSinVhzQwqJRSSinVI0TEFZHdeV8fb/cxNYuIbBeRa9t9HEoppZRS3UwDg0rVSURmS2z7oIj8SpXHvVdEPtOI5xaRcRH5SpX7vigiq5fzfEoppbpOwhizPe/rk+0+oCbaDmhgUCmletxSr7/qfI73ish43u93isj5jdq/Up0s1O4DUKoXGGM+1+LnmwDe3crnVEop1b1E5EXgfwHXA2Hg3xtj9orIGuDvgVXAI8DVwGuMMcdE5H8Dm4AYcJsx5o5gX+8DPgZMAPuAlDHmw8G+PgecGTztR40x/yIivw+cBWwAzgF+C7gcuAY4BFxvjMmIyGuAPwOGgGPAe40xh0XkAeDfgLcAY8D7gt8/AcRF5Argj40xX27066aUUqozNeH6673Ak/htG8aY9zd4/0p1LM0YVKoBROT3ReS3g58fEJFbReRhEXlWRN5U4v7Xici/lsvoE5F1IvJVEdkTfL2h6PbNIvJk8LMtIn8qIk+IyOMi8p+L7hsXkXtF5D+JyKCIfCPY55Mi8ouNexWUUkp1gHjRVOL8z/ljxphLgL8CfjvY9nvA/cH2r7IQ1AP4NWPMa4BLgd8UkVVBNsXv4gf23g6cm3f/24A/N8a8Fvh3wJ15t70SuA64Afgi8H1jzEVAArhORMLA/wTeHTzn54E/ynt8yBhzGfBR4PeMMWngFuDLQWakBgWVUqqPZK+/ROQ8EXk4b/tmEXk8+Pk1IvIDEXlMRL4tIhvK7Ovd+G3d3wVtZzy4prs0uH02uL57TES+KyKXBbfvF5GdwX1sEfmUiDwSXJPd3PxXQanG0IxBpZojZIy5LKh99HvAz2VvEJF34WdLXGuMOVnm8Z8GfmCMeZeI2PjZE+V8AD8T49XGGEdEVubdNgTcDdxljLlLRP4dMGGMuS44ltGlnqBSSqmOlDDGbC9z2z8H3x8DfiH4+QrgXQDGmHtFJL9d+s2gzQI/c3ArsB6/fToBICL/iJ8FCH5bd76IZB8/IiLDwc/fCrICnwBs4N5g+xPAZuBVwIXAd4LH28DhMse+ufzpK6WU6ifGmGdEJCIiW4wx+4FfBP4hb8DpBmPMVDBQ9kfAr5XYx1dE5MPAbxtjHgXIa8sABoEHjDEfE5GvAv8P/uDY+fjZ+Lvws9lPG2NeKyJR4F9E5D5jzAvNOnelGkUDg0o1R7kLmLfgj0ZdZYyZrvD4twK/AmCMcYHTFe77c8DnjDFOcP8TebfdA/yJMebvgt+fAP5URG4Fvm6M+WFtp6OUUqoHpILvLgt9QCl1RxHZgd++vN4YMx9M542Vu3/ACu6fKNpX7rmNMZ6IZIwxJrjZC45FgKeMMa+v49iVUkopgH8A/gPwSfzA4C9SfcCpHmkKB7RSeYNdm4PtVwHbguxDgFH8ATUNDKqOp1OJlWqOchcw+4FhFrIrGkEAU+a2fwGukaA1NMY8C7wGv0H7YxG5pYHHoZRSqvv8CP9iChG5ClgRbB8FTgZBwXPxpw4DPAy8WURWiEgIf8pw1n3Ah7O/iMj2Oo7jZ8AaEXl98NiwiFxQ5TEz+G2qUkqp/vZl4D+IyDmAMcbsY2HAKbsY10XGmKuWuP/iAa3cYBeFA23/Oe/5zjLG3Lf0U1KqdTQwqFRrvYQ/feuuKhc83wN+HXL1KkYq3Pc+4IPBBRpFU4lvAY4DfxncNg7MG2O+CPwpcMlST0QppVRHKq4xWG1V4j8ArhKRn+AvBnIYP+B2LxAK6jT9IfAQgDHmEPA/8Bf/+C7wNAtZ7b8JXBrUVnoa+GCtBx3UDHw3cKuI7AF2A2+o+CD4Pv7U5eJaikoppfqIMeZ5/ISM38UPEkL9A07LHWz6NvDrwRRmROQcERlcxv6UahmdiqFU/QZE5GDe739Wz4ONMT8TkV8C/lFErg8asmIfAe4Qf+VHFz9I+K9ldnknfgbi4yKSAf4a+Eze7R8FPi8if4IfcPyUiHhAJtivUkqpHmGMscts35z386PAjuDX08A7ghq1rwfeYozJZr1fU+Zp/t4Yc0cwIPVV/AEqjDHH8KdvFT/37xf9PlTqNmPMbuDKEo/fkffzMYJpW0HpjNeWOUallFK9o5brry8Dn8KvvY4xJh1M6/10UFc9BPwF8FSZ5/gC8DkRSQDlylpUcid++/STYLbWFPDzS9iPUi0nCxmxSimllFKqn4jIVvzaTBZ+DaXfMMY8UuUxf4pffzCGHxT8iNEOpVJKKaVUV9LAoFJKKaWUUkoppZRSfUinEivVRiLyO8C/L9r8j8aYP2rH8SillFJKKaVUrxKRzwJvLNp8mzHmb9txPEp1As0YVEoppZRSSimllFKqD+mqxEoppZRSSimllFJK9SENDCqllFJKKaWUUkop1Yc0MKiUUkoppZRSSimlVB/SwKBSSimllFJKKaWUUn1IA4NKKaWUUkoppZRSSvWh/x9semFW/IiwXAAAAABJRU5ErkJggg==\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "# Figure for visual inspection subplots\n",
+ "fig, axes = plt.subplots(nrows=2, ncols=3, figsize=(18, 10))\n",
+ "fig.suptitle('Independent Variables vs Amount_spent')\n",
+ "\n",
+ "# Flatten axes \n",
+ "axes = axes.flatten()\n",
+ "\n",
+ "# Loop through each independent variable and plot the regression plot with confidence intervals\n",
+ "for i, column in enumerate(cols):\n",
+ " sns.regplot(ax=axes[i], x=df[column], y=df['Amount_spent'], ci=95)\n",
+ " axes[i].set_title(f'{column} vs Amount_spent')\n",
+ "\n",
+ "# Adjust layout\n",
+ "plt.tight_layout(rect=[0, 0, 1, 0.95]) # leave space for the title\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "cb96465c",
+ "metadata": {},
+ "source": [
+ "From this visual inspection alone, some features are not linear against our dependent variable, which are `Link_clicks`, and `Engagement`. We will inspect it further."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "id": "aaf34ccd",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ ""
+ ]
+ },
+ "execution_count": 6,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "# Run heatmap correlation for Multicollinearity check\n",
+ "sns.heatmap(df[cols].corr(), annot=True)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "2c862cc9",
+ "metadata": {},
+ "source": [
+ "There exists multicollinearity in the dataset. Since we only have 100 rows of data, and with the minimum amount of features, we can avoid excessive pruning and transformation, and feed this data into a robust model, `Random Forest` model."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "f640880e",
+ "metadata": {},
+ "source": [
+ "# Running the Model"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 7,
+ "id": "b9653337",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "from sklearn.ensemble import RandomForestRegressor\n",
+ "from sklearn.model_selection import train_test_split\n",
+ "from sklearn.metrics import mean_squared_error, r2_score"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 8,
+ "id": "da39aafa",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "# Specify X and Y variables\n",
+ "X = df[['Impressions', 'Reach', 'Video_plays', 'Link_clicks', 'Engagement', 'Live_time']]\n",
+ "y = df['Amount_spent']\n",
+ "\n",
+ "# Split the data into Training and Testing parts\n",
+ "X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.2, random_state=42)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 9,
+ "id": "da377548",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "RandomForestRegressor(random_state=42)"
+ ]
+ },
+ "execution_count": 9,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "# Initialize the model\n",
+ "rf_model = RandomForestRegressor(n_estimators=100, random_state=42)\n",
+ "\n",
+ "# Train with Random Forest\n",
+ "rf_model.fit(X_train, y_train)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 10,
+ "id": "16cfc2ba",
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Random Forest Regressor Performance:\n",
+ "Mean Squared Error: 229530977770136.81\n",
+ "R-squared: 0.86\n"
+ ]
+ }
+ ],
+ "source": [
+ "# Predictions with Random Forest\n",
+ "y_pred_rf = rf_model.predict(X_test)\n",
+ "\n",
+ "# Evaluation for Random Forest\n",
+ "mse_rf = mean_squared_error(y_test, y_pred_rf)\n",
+ "r2_rf = r2_score(y_test, y_pred_rf)\n",
+ "\n",
+ "print(\"Random Forest Regressor Performance:\")\n",
+ "print(f\"Mean Squared Error: {mse_rf:.2f}\")\n",
+ "print(f\"R-squared: {r2_rf:.2f}\")"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "f437afa8",
+ "metadata": {},
+ "source": [
+ "**The Random Forest model explains 86% of the variance** in `Amount_spent`, an arguably decent results for a non-linear dataset. We will see what contributes most towards determining the `Amount_spent`."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 11,
+ "id": "e4c0dcba",
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ " Feature Importance\n",
+ "5 Live_time 0.809876\n",
+ "0 Impressions 0.063705\n",
+ "1 Reach 0.055954\n",
+ "2 Video_plays 0.053740\n",
+ "3 Link_clicks 0.010183\n",
+ "4 Engagement 0.006543\n"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "# Check Feature Importance\n",
+ "importances = rf_model.feature_importances_\n",
+ "feature_names = X.columns\n",
+ "feature_importance_df = pd.DataFrame({'Feature': feature_names, 'Importance': importances})\n",
+ "feature_importance_df = feature_importance_df.sort_values(by='Importance', ascending=False)\n",
+ "\n",
+ "print(feature_importance_df)\n",
+ "\n",
+ "# Visualization\n",
+ "import matplotlib.pyplot as plt\n",
+ "\n",
+ "plt.figure(figsize=(10,6))\n",
+ "plt.barh(feature_importance_df['Feature'], feature_importance_df['Importance'])\n",
+ "plt.xlabel('Importance')\n",
+ "plt.title('Feature Importances in Random Forest Regressor')\n",
+ "plt.gca().invert_yaxis()\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "6e3fa441",
+ "metadata": {},
+ "source": [
+ "We can see that the `Live_time` variable is the most influential feature in this trained model, at 80%. After this, we can try to see results with different numbers set up for prediction."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "aff89a23",
+ "metadata": {},
+ "source": [
+ "# Dummy Data for Testing"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 14,
+ "id": "fdf52602",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
+ "\n",
+ "\n",
+ "
\n",
+ " \n",
+ " \n",
+ " | \n",
+ " Impressions | \n",
+ " Reach | \n",
+ " Video_plays | \n",
+ " Link_clicks | \n",
+ " Engagement | \n",
+ " Live_time | \n",
+ "
\n",
+ " \n",
+ " \n",
+ " \n",
+ " | 0 | \n",
+ " 400000 | \n",
+ " 340000 | \n",
+ " 120000 | \n",
+ " 11000 | \n",
+ " 800 | \n",
+ " 7 | \n",
+ "
\n",
+ " \n",
+ " | 1 | \n",
+ " 370000 | \n",
+ " 200000 | \n",
+ " 100000 | \n",
+ " 14500 | \n",
+ " 560 | \n",
+ " 4 | \n",
+ "
\n",
+ " \n",
+ " | 2 | \n",
+ " 180000 | \n",
+ " 160000 | \n",
+ " 78000 | \n",
+ " 13000 | \n",
+ " 1200 | \n",
+ " 10 | \n",
+ "
\n",
+ " \n",
+ "
\n",
+ "
"
+ ],
+ "text/plain": [
+ " Impressions Reach Video_plays Link_clicks Engagement Live_time\n",
+ "0 400000 340000 120000 11000 800 7\n",
+ "1 370000 200000 100000 14500 560 4\n",
+ "2 180000 160000 78000 13000 1200 10"
+ ]
+ },
+ "execution_count": 14,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "# Initialize\n",
+ "data = {\n",
+ " 'Impressions': [400000, 370000, 180000],\n",
+ " 'Reach': [340000, 200000, 160000],\n",
+ " 'Video_plays': [120000, 100000, 78000],\n",
+ " 'Link_clicks': [11000, 14500, 13000],\n",
+ " 'Engagement': [800, 560, 1200],\n",
+ " 'Live_time': [7, 4, 10]\n",
+ "}\n",
+ "\n",
+ "# Convert to DataFrame\n",
+ "test_df = pd.DataFrame(data)\n",
+ "test_df.head()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 16,
+ "id": "19e71276",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "# Feed this data to our trained model\n",
+ "dummy_pred = rf_model.predict(test_df)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 18,
+ "id": "fed3a72c",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
+ "\n",
+ "\n",
+ "
\n",
+ " \n",
+ " \n",
+ " | \n",
+ " Impressions | \n",
+ " Reach | \n",
+ " Video_plays | \n",
+ " Link_clicks | \n",
+ " Engagement | \n",
+ " Live_time | \n",
+ " Predicted_Amount_spent | \n",
+ "
\n",
+ " \n",
+ " \n",
+ " \n",
+ " | 0 | \n",
+ " 400000 | \n",
+ " 340000 | \n",
+ " 120000 | \n",
+ " 11000 | \n",
+ " 800 | \n",
+ " 7 | \n",
+ " 105,289,945 | \n",
+ "
\n",
+ " \n",
+ " | 1 | \n",
+ " 370000 | \n",
+ " 200000 | \n",
+ " 100000 | \n",
+ " 14500 | \n",
+ " 560 | \n",
+ " 4 | \n",
+ " 96,073,254 | \n",
+ "
\n",
+ " \n",
+ " | 2 | \n",
+ " 180000 | \n",
+ " 160000 | \n",
+ " 78000 | \n",
+ " 13000 | \n",
+ " 1200 | \n",
+ " 10 | \n",
+ " 151,741,761 | \n",
+ "
\n",
+ " \n",
+ "
\n",
+ "
"
+ ],
+ "text/plain": [
+ " Impressions Reach Video_plays Link_clicks Engagement Live_time \\\n",
+ "0 400000 340000 120000 11000 800 7 \n",
+ "1 370000 200000 100000 14500 560 4 \n",
+ "2 180000 160000 78000 13000 1200 10 \n",
+ "\n",
+ " Predicted_Amount_spent \n",
+ "0 105,289,945 \n",
+ "1 96,073,254 \n",
+ "2 151,741,761 "
+ ]
+ },
+ "execution_count": 18,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "# Put in the test_df\n",
+ "test_df['Predicted_Amount_spent'] = [f\"{int(pred):,}\" for pred in dummy_pred]\n",
+ "test_df.head()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "1f217b43",
+ "metadata": {},
+ "source": [
+ "And there you have it! The amount of money predicted to be spent, in IDR, with Random Forest Model."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "id": "9697d25e",
+ "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": "3.9.12"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 5
+}