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@cjmcgraw
Created September 5, 2019 19:30
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Anomaly detection + RecSys
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{
"cells": [
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [],
"source": [
"from matplotlib import pyplot as plt\n",
"import pandas as pd\n",
"import scipy as sp\n",
"import scipy.io as spio\n",
"import numpy as np\n",
"import seaborn as sns\n",
"import math\n",
"\n",
"plt.rcParams['figure.figsize'] = (20, 15)\n",
"plt.style.use('ggplot')"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [],
"source": [
"raw_data = spio.loadmat(\"./machine-learning-ex8/ex8/ex8_movies.mat\")\n",
"Y = raw_data['Y']\n",
"R = raw_data['R']"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [],
"source": [
"def matrix_to_tuples(data):\n",
" return np.array([\n",
" (id1 + 1, id2 + 1, value)\n",
" for (id1, id2), value in np.ndenumerate(data)\n",
" if value > 0\n",
" ])\n",
" \n",
"rating_df = pd.DataFrame(\n",
" matrix_to_tuples(Y),\n",
" columns=['movieid', 'userid', 'rating'],\n",
").set_index('userid')\n",
"\n",
"rated_df = pd.DataFrame(\n",
" matrix_to_tuples(R),\n",
" columns=['movieid', 'userid', 'rated']\n",
").set_index('userid')"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>movieid</th>\n",
" <th>rating</th>\n",
" </tr>\n",
" <tr>\n",
" <th>userid</th>\n",
" <th></th>\n",
" <th></th>\n",
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" <td>193</td>\n",
" <td>4</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" movieid rating\n",
"userid \n",
"437 154 4\n",
"896 182 4\n",
"38 720 5\n",
"539 163 4\n",
"13 271 1\n",
"833 656 4\n",
"640 210 5\n",
"110 780 3\n",
"655 295 3\n",
"561 143 1\n",
"405 1219 1\n",
"346 496 5\n",
"339 644 5\n",
"290 22 5\n",
"194 193 4"
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"rating_df.sample(15)"
]
},
{
"attachments": {
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kIAEJFISAgm9BCtJsSEACEpCABCQgAQlIQAISkIAEJCABCUhAAhJQ8LUOSEACEpCABCQgAQlIQAISkIAEJCABCUhAAhIoCAEF34IUpNmQgAQkIAEJSEACEpCABCQgAQlIQAISkIAEJKDgax2QgAQkIAEJSEACEpCABCQgAQlIQAISkIAEJFAQAgq+BSlIsyEBCUhAAhKQgAQkIAEJSEACEpCABCQgAQlIQMHXOiABCUhAAhKQgAQkIAEJSEACEpCABCQgAQlIoCAEFHwLUpBmQwISkIAEJCABCUhAAhKQgAQkIAEJSEACEpCAgq91QAISkIAEJCABCUhAAhKQgAQkIAEJSEACEpBAQQhMVJB8mA0JSEACEpCABCQgAQlIoIcIfPHFF+Gtt94KTzzxRPjyyy97KOXNJfXb3/52mGeeecKkk07aXATeJQEJSEACEpCABBokoODbICgvk4AEJCABCUhAAhKQgASyI/Dxxx+Ha665Jmy55Zbh888/zy7inMY0++yzh2OOOSasuuqqOU2hyZKABCQgAQlIoCgEFHyLUpIl+fjvf/8bPvroozDRRBOFb37zmyXftP4rg/EPPvggfOc73wkTTDBB6xEaQyEItLPOdRuQdX5gCbSzvOU9kHc/ftLOOtZOntbfdtI17iISSKx6v/71r1cVfCeccMIwxRRThEGDBnUEAWlK/mGBzD/ebf599tln8d8nn3wSPv300/hdmkT961//ChdeeGFYYYUVwsQTT5zmVq+VQCTQjv7Rvqv7lSuLcrUcu1+OaVKQRZmneV4r11q3WqHX3XsVfLvLP/OnMxB97rnnwkMPPRQWWWSRMNtss2X6jLfffjtce+21YdFFFw1zzjlnYBBu6G8C7a5z3aZrnR+/BNpd3vIen3c//tXuOtZOptbfdtI17iISwMUB49Wllloq3HDDDRUFVIRRxp3bb799mGyyydqOIRF4aYv4h7D74Ycfhvfffz/+e+edd8Ibb7wR3nzzzfDee++F//znP+N9z8S4Wvj3v/8d7rjjjujCYsEFF6x2mZ9LoCKBdvWP9l0VcXfsw6zK1XLsWJG1/KCsyrzlhDQYgXWrQVA5vEzBN4eF0mySaDjwgXbaaadFC99lllmm2aiq3scg9v777w+XX3552G233cJCCy0UvvY1z/6rCqzgX3SiznUboXX+qxLoRHnL+yve/fhbJ+pYO7laf9tJ17iLSIDdYhgn/Pa3v40GC2PGjBmQTXatPfXUU1F8HT58eNzBNuCiLnzA+47FLoYWpPuRRx6J/8aOHTtOEEYsLg+vvfZauOCCC8L3vvc9x9DlcPy7KoF29o9567tYdMH6MavAXDWvRkpZlmveyjGr8itaPFmWeafYWLc6RTr750w4YsSIEdlHa4ydJkDH+OKLL4YTTjghDj4POOCAMOOMMzaUDDpUrBVef/31eIhErQ6RQyZmmWWW6G/t+uuvDwsvvHCYZpppdO/QEOliXdRKneslEtb5/5VWs+Wdpn3hSfLupbcj27Q2W8eyTUVrsVl/W+PX7bvZps8OqVGjRsWkTD/99GHzzTcPk0wySbeTVujn44Js6qmnjm7I7rrrroBf3/KAO7EXXnghLL744oFyyUNARMLieOaZZ44GECuttFLYYIMNwrLLLhvH4LipQNAmP6XCL79T11ZfffWOWCzngZVpaI1AFv0jgg0HJGJljmV9qWu+PPVdWNLffffdcfHkmWeeCeX/WFx5+umnB3zOdXzHz9Lv+YyFmammmip84xvfaK0gMr67mXJlXM3OAsqS/NB+JiFP5ZikyZ/jE2imzImhVrmP/4Tm/+qVNiLJISzZfcOOG3QsfrLjhnzQ/9bStJI4+uGngm9BShkz+/POOy/cdNNN4eCDDw5zzTVX3Zzhn4yX5LHHHgvnnHNOuPTSS8Niiy0WJp988qr3MjjAfy+DW6x8sWZYYoklHLBWJVbcL5qpc71Iwzr/v1JLW97NtC88Sd69+JZkk+a0dSybp2Ybi/U3W56djk3Bt9PEv3oeZ04MHjw4TtoeffTRAdZ9TOwQOWgncP+AsJHHgPgy3XTThWHDhoW11147LLDAAjEvTEKTiSj9I/nBMANXFQYJ1CPQav+IAIKVPLtAR48eHeaZZ57x5m556buwfMTlCQsnZ599drj11lvDP//5z3DnnXfGfywI8f2VV14ZjjrqqDh/veKKK8KTTz457jq+v+WWW8J1110Xzj333HDyyScH7sNvdl4Wi5LyTluutB0IWyNHjgxXXXVVmHbaaWO7mcSXl3JM0uPPgQTSljkx1Cv3gU9J/0mvtBFJzlhIpU3jXeedxyUU/9iJTntAfr71rW/FBXvei34OCr4FKH22ut14443huOOOCxtttFFYZ511quaKyQxbz1555ZX4kxeE04KxDGYgusoqq9S1DGa1BEsMhF86YwatWFyUrjBWTYBfFIJAmjpXhAz3e51vtLyzaF+oL/3OuwjvTNo8NFrH0sbbjeutv92gns0zFXyz4dhsLFhSs4uMCRvj1PKAZSyWekzi8PuLBU+eA+nDXQWWv3PPPXccZ7OjDmtl8sKEdK211sqd1WGemfZj2rLoH6l3p59+emAHKC5FllxyyfiulfLMQ9+FGMbcElF65ZVXjn67d9lll7DNNtuEn//852HrrbcOm266aXyvzjzzzHjwIS4MOQhxxx13DFtuuWXYYostwoYbbhjfO+ariD9YNBNHLaOmUhad+L2ZckUQR/yGA5bLQ4YMiYtLpenNQzmWpsffvyLQTJlzdyPl/tVTmvutV9oIcofB4m233Rb+8Y9/hIcffjjMMcccYb755ovaFDuBLrrooug2ietmmGGGuDDSz6LvV3sAmqsb3tVlApj3s20FsZcKvdlmm9VMEabuJ554YhxII/DSKTDBYeWIkPysGUkIcbVk6aWXjta9Z5xxRsCnGpa+huITSFvnikKEiWg/1vk05Z1V+0Kd6VfeRXlf0uQjTR1LE283r7X+dpO+z+5VAoxJEUY5I2LnnXcOL7/88oCsIPiecsop0XJ21VVX7QkfuLQHa6yxRtxFh4UlFofPPvts3GGHBSOuHQwSqEQgy/4R0RNXfOzmrHZgYDf7LuagjCMxRkLs/fOf/xxmmmmmAViYv2LZR8Clyg9+8IPoriG5EFcrCLv8m2KKKcJLL70U7rnnnmh5n1zT7Z/NlitGVghX+P+eddZZw3LLLVcxK90sx4oJ8sO40yONZlOKrNFyL72nmd/z3kaQJxZLeZ8xWGQMwEJQqasWXNYg+B544IHhL3/5S3j88cfD0UcfPWCBqxk+vXqPp231asn9X7qp1PjS5bC2TTbZZLwOr1LW6BixNNh2221j5T/ppJPi38m1aVY/Bg0aFLersRrL4BXh2FB8AmnrXJGI9GOdT1PeWbYv1Jt+5F2k96XRvKSpY43GmYfrrL95KAXT0GsEsN7FYm/77bcfb8t5kg9EISx4DjvssGjwkHzeCz/Zfr3TTjuF3/3ud1GwefPNN6MVEhNYgwQqEciqf8TSlbkfFnFHHHFEmHLKKSs9Ln7Wrb6L94CFEKwgd99994piLwmEyX333RfTiqiLtX+1gBDErgGMovK0I6DZcsX1DUZWZ511VvjrX/8avv/971fLumPoqmS680WzZU5q05R7s7nrhTaCvLFDgfqPdTuW7qViL98zF11zzTVje8cuGiyBEYexku7XoOCbouRZXcF/2KuvvprirvZdyqCXk4AvueSS2JmtuOKKdR+GGwZWTeks8MObRuAtj5wXjBVGVovZXoLPNUOxCTRT54pEpN/qfNryzrJ9od70G+8ivSuN5iVtHWs03jxc10z9ZZzBpIC+nd8NnSVAfSznzmeGzhJg4okRA9Y7ldyFIQwh+CBcYXTQSwHfw7hx4LwNRCgOp8ICyZANgazmalnF00qusu4fEULY9syiSq3Qrb6LLeW4csBHdy0Rl0PdeP+ZwzLurCV6Uo5w/O53v1sryx39rtVyRfzjrB4WkGqFZsqxVnx+1zyBVsucJzda7s2n8n9iaZ7bCN5nxsf4r2YcQP8J2/LAghYGjvSxtCvXXHNNRTdR5fcV9W8F3wZLlq0XL774YvQRdO211zZ4V3svw1k1h6YxUMSdAgPkTgdWgdddd924BeeCCy7o9ON9XocJ5KHOdTjLAx7XT3U+D+XdT7wHVLY++CAPdaydmNPWX8YanDDOtm8OVOVvQ+cIYA3Cwn4Syv9OPvdn+wkg0Oy6665h/vnnr/gwRJ/LLrss+vvstR1mCG4YXuy5555xsnr++ecPWGiomGk/rEkgq7laVvHUTGwDX3azf+x034Vog8U7xkPMK6sF2mQOLWNrPBa7tBMYMFULiEL4zK51TbV72/V5J8s1bTm2K8/9Hm8ny7xTrNPWrSzGt7zPCL7s8jn11FOj2wbahPLAYhALXCyMEPDl28+GiQq+5TWkwt9UJLaY4LbgnHPOqer3qMKtbf2IjvHyyy+Pvi675T8XSwVWVllxwQ8ZnaqhuATS1jkGcEzEWF2rtJWCeoMvrrfeeisuGtAg5z30Yp2nHNgih+9DtsI0yjltebej7HqRdzs45D3OTtWxXmtT0tZfJrDTTDNNfE85XOehhx5S9G1D5ace0fcwceBwMBb0EdrxC8dp7kmg7+I0eBbWn3/++egLknvwM0n/ZWgfASx72UX2m9/8pqolG/0ZZ1hQZpRpLwUmo1gws/WUg5fzsnuwlxiWpjWruVpW8ZSmrVP9Y+kz+T1p5xjLvfvuu/GQwPJrqv3d6b6LtMIe4yUOAq8WmGc++OCD0bqPd4hdprV2qybCT7WFo2rPaefnzYytEctY5OJe+q5GQ9pybDRer0tHoJky5wnNlnujqeulNiLJE2MDxsksnOLShXajUuA6viegRVQ6CLbSfUX8rKcPbaOAscRAyKBBT/5RUKW/8zcVmpeGwqcz4WcjgQE9h0bg6xbL3n322afm1pFG4szqGvKOKTvbWRZddNGsok0VD5x5mTgdkRVXJqec/GooJoE0dY73DYHxgQceiHVjuummi/WEQwY4UIGBCwspvF90hAziOFyBbVzUJ7au5DH0Up2n/WKQj5BBRwdrVplnnHHGeMjF7LPPXnOgnKa821VWvcS7XQzyHG8n61gvtinN1N/BgwdH/6UcXLX33nuHQw89NB5Qled60Gtpw0oE0QDLSuoV7SLiLlbVWI5NPPHEMUv0Tb///e/DqFGjoiUZEwy+S8qIA04M7SOAWMG2zC233DL64CsXOmh/6N/++Mc/Rn9++OrspYCF1IYbbhjHzjfccEPYfPPNeyn5uUlrVnO1rOJJwHSyf0yemfxE4BgzZkw83IyFEfqieeaZJ85hmTfWC53uu5gXzDvvvGHEiBEDfHKWpjWN/17uY86/8cYbx7lyaTzd/D3t2Bqdg7N6WHjkXuZKGHo10t41U47dZFPUZ6ctczi0Uu6NcOy1NoI8oQ0MHTo0jpFZfKf/rOaihnFespCKMQX9bb+GxlTPnNJhcH7mmWfGwTkNGqf7lv6j8yAkYi8Fjy8PHDxPNdVUdXPFfVgennfeefFQBe5bb7316t7XiQuYoDAR4eTRYcOGxXx14rmVnsFJoKyc4k8Fn0oKvpUo9f5naesc9XPkyJHh/vvvD9NPP3244oorYj3h1EwGYPjTueWWW2LjzZYs6jKLKly7//77h0Z8UneLai/Uedo7BHWs0y6++OLIdaGFFoqWAfj9ZivsIYccEk/5rcQxbXlXiiOrz3qBd1Z57aV4Ol3HerVNSVt/Gbuw6LXLLrvEg2v+8Ic/REELkdGQDYGkfWORmokAY0e4swgG+/LAeJAFTAQcjA1YoKxmVVJ+r3+3RgA/lZzC/fDDD4err756gGU1Yj3nSHAoy7777psrYadezpN3ncO0ELIM6QlkNVfLKp4kB53uH5Pn8hOhiN0K7EplRxeHG91xxx1xlwKLiCwsJHPk0vvKf+9035JCCrgAACAASURBVIXPWebptQLCGfMK5v31/PcSDwt0zCvyEpK+p9H5O+0bfo1x84RFM/0VcyvcXrDQ1Yh4n7Yc88KqKOlIW+bkO4tyr8WvV9sI8oTR0kEHHVQre3GcgH9/5sG0degOLHj1a+hpwZdOjEYfhZ+BN50rg3D8emDVRqCQEXcZwNPgERodpBM/g8sTTjghrLDCCmHHHXdsqIOMD2nzf1g5PPXUUzE9dOSNdNztShJc55577igq0YEZikkgTZ3jXcS/NNssOUWWv9kCiwuSP/3pT3F1DsvfnXfeeZzFPGIOEzusqY488sh4aENerXzzXudZtYXvscceG+699964yLXddtsFrNHo5BF+2SZ71FFHRWsKrAXKQ5ryLr8367/zzjvr/PZCfJ2uY73cpjRTf5n4sq2V9/bwww+P7zKnljcyueuF+tPtNNIWcnAW/wz5JoCwgyUbfRaTtyeffHJAgjEAOffcc2Pf9pOf/CSKIgMuyukHvNN5MSbJKaKaycpqrpZVPCS20/1jKSD6SubGf//736NBEOIugtNFF10UfvrTn8Y5LW5EEEDqhbz1Xczf0/jvrZe/bnyfZmxNubGDAeM2fH5TfixSIuSzIwBRvxHjmGbKsRtsivrMNGUOg6zKvRrPIrcRSZ5ZGLrtttviQj1zXN6ffhZ8e9qHLwPAv/3tb9FSkIbv+uuvj64XlllmmaS8o7uBjTbaKFqzYT3Iib71TrXkZjoVBKujjz46buNjoJmniRaiDVt1mBSy0tHNwOopTPHRimhnKCaBNHWOVTXE3sUWWyzgyiEJuHFgayzWOL/+9a/Hib18z4CE7Vx0RCzaJNswknvz9DPPdZ73EEuo3/3ud3FAuMUWW4Rf/vKXUeyFIVtf8LtN+4nlL5bWlUKa8q50f5af5Zl3lvnslbi6Ucd6uU1ptv7iLglBcuWVV44HU7FghoWpQQL9RoB3CNdl9GXVduhh/MEiJmIX1pqG4hPIaq6WVTwQ70b/mJQ09R5/5AiCiBs/+9nP4jwx2QVL/4EQgouHRkLe+i6MuhA8mSc04r+3kTx2+po0Y2vmTOyEJGyyySax/6f8MGpDFERIbCQ0W46NxO019QmkKXNiy6rcK6Ws6G0EeaY9xwUKGiFz3qWXXjoaPtEO9mvoacG3vNCSrSA4ck4C2zg222yz6Ny50YLmZWDrHh0mA0h8/2DBmqfAgIIJML6I6fS6GdgKiZ81OmCsOA3FJJCmzmFtw4JJsvKM5QRWOViizzbbbHGrMuJuaWDwwnUEBqVYSOQ15LXO08nhf/Ivf/lLuOmmm6JQtMMOOwzYAUCbgeiLyxpcsVQSkdKUd7vLKa+8253vPMbfrTrWy21KK/WXBTOseujrOTgWP9wGCfQjAYwu1llnnYARB+P98sAYAh+Xhx12WK4XjMvT7d/NEchqrpZVPOSiW/1jQpBt4JxEz9wVNyjJ7k+EQcaGzIPZOVdt0SSJJ/mZt74LtyfsWiOwIMqZH70W0oytmVNjPLPBBhvEXQsIgZzdg4BIGc4333wNZb+VcmzoAV5Uk0CaMieirMq9UqKK3kYwn2W3OVbxGEYi9uLqqZ+te6kHhRJ8yRCCEZ0dgQkS1q9pOwSEpn/+85+xsnDAFFtf8hYY2LLSSWfe7UNDko6EgQ4iNGkzFI9AmjrHgJLGFdcBNL7UC1bbppxyyjhhw+F6eUgGpNRpBMk8+dwqT2se6zyTFgYJrGieffbZcZEKsbfSghA+wFgYo73EWoIFrvKQprzL78367zzyzjqPvRBfN+tYL7cprdRf2kN8nGPpy9gGP34srhok0I8EGBfQr/3gBz+oeOAo44ibb7457vZjjGwoLoGs5mpZxdPN/jEpZfoGRN1NN900jreTzxFKsXzH0nOmmWZqeHydt74L61bOiiGPLABhuNBrIc3YmrE6RjKcjZMsTHAeCvP+BRdcMH7XSP5bKcdG4vea2gTSlDkxZVXulVJV5DaCdyQ5e+uMM86IriERe9lt3O+hUIIvwhIuBVjhJ2B1iuBEB5cmcJo9kyoqzqqrrtp1lwmV0k5eWaVhMljJ0qHSPe36jDQwGU/SRLoMxSOQlG8jdY6FEg5e491jAoZQwYATkZF3qlJg5ZqFFuoSPrcr+ZWtdF83Pstjnee9u/3226MVIJYPa6yxRtVOjsEfQjBtHJaT+PstD2nKu/zerP/OI++s89gL8XWzjvVym9Jq/cXXIoIvk9wLLrggLtL0Qn0xjRLImgDv0pxzzhl22223MPPMM1eMnoXP008/PR4Cy0TbUEwCWc3Vsoqnm/1jUsKIoGuvvXY80Cv5jHEeLgAQfBn3YQRFX9JIyFPfhVERrijwaYsgxkJotTagkbx165o0Y2vGPSNGjIgCL0IdZ/dg4ctcCmO0TpVjt1gV5blpypw8Z1XulfgVtY2gnWNBiAWRE088MYq9++23X7TwrcSh3z4rlOCLtdpjjz027qTbpGNLU6is9CIY33jjjbEjyetBColgQyNCmrsZeMnoiAkMDrCsNhSPQLN1jgaYgwW4H1/P5a4cIMWkjIEcA1KEXlazqwXqOwe38K4nBzZyLXWQwxwYEOFOAj/AiMhJYEsNz+B7BGi2RicuJJJrGv2ZtzoPP7brHX/88bHDYxC84YYbVs0OZYGwTmAQCcfy0Gx5l8eTxd95451FnnotjjzVsazbFPLGwgdtA65n2JFQKfCu0IawnTJNaLX+0qfOPvvscbEM/4wcxkOaDRLoRwL0XUsssUTYaaed4rbuSgx4T/785z+PMwCpdI2f9S6BrOZqWcWTp/6xvFQZ+zLe5Z1IOy/OU9+V+O8lP+Rj4YUXbljwLGfSzb+bHVtjuXjllVfGuQ5j/OWWW67hbLRajg0/yAsrEmi2zImslXKvmJgKH/Z6G0H9xqgMF4UcVr7UUktF107LLrtshdz250eFUuYobLZ6JAErNzqENAEL4UsvvTQKl1SYRv3jpHlGFtdiOTlo0KA46ev2tjUGOlhxIvZibdxti+Ms+BrHQALN1jneS3xucSgb71MiNJY+gWuw7kV0WWCBBUJpI01DnqxiMzh/8MEH42nDiDKIwz/60Y9ivIi8WKpirYHQy/vPVigsXXHazkFm/Eu+x73EXHPNFVZZZZWG/Zklac5bnUcA40AnDq9kIMx210rCepJ+Foro4An8hHt5aLa8y+PJ4u+88c4iT70WR57qWJZtCnWLNgGf1yya4N5k/vnnjweklJ4HwHtCG3PhhReG1VZbLQ4oGy3DLOov/T0L0Fj4YsmPjzIOXjRIoB8J4L8SX76MB84999xx/VnCggVg3BUh+v7xj3+M4+XkO3/2PoGs5mpZxZOn/rG8dOkvk4MMGTOncYOQp76LcX2v+++lbJoZWzNmZ5xy9dVXR1cWw4cPD+z8IZTOkcrLPvk7i3JM4vJnegLNlDlPabXcG01pr7cRGG9de+214bjjjosGY3vuued4bmsw1mDnT1IOjXIp0nWFsvAt7QywiOGwE7Z+NRpoEFkBHTVqVBwccjhEXgPbWRLBlxe1mwFupAHmed6G301GRXh2M3WOusGAGv+9yYp8JRZcc80110QxGKGSfwxi2IaGJS+Bv7FSOOuss+L3bHEeOXJk2GeffWJD/49//CMuNnDA0W9+85toUbz33ntHFwd0BPjzwc3LFltsEX71q19FH9i777573P5RKU21PstTnSctbHHD6o+Aj8P1119/nEheKR9MhpmgEEp/L722mfIuvT/L3/PEO8t89UpceapjpCWrNgX+xIWIi3Uvi0fsQkAkoj0qDSyKcJDrKaecEkaPHl36Vd3fs6i/LJTRLn7ve9+LOxkYpxgk0M8EBg8eHH75y19G122VODAuxeKHsUFaq/xK8flZPgjQnmYxV8synjyPwZK5MWIHlqH48G005KnvIh+97r8X7s2MrTHswijmueeei9rG6quvHosQYyvGLvV2K2ZRjo3WGa8bSKCZMieWVst9YEoqf9LLbQR1H2MnxuYc0HbAAQeMJ/aSY8Re5sj49+/XUBjBl1UQJm6t+O9lcMhpmGxvxnoA/795DXTcTEyxOqq2/bRTaWflBKsoJqT4VDIUk0AzdY7BCIItDTIWt4suuugAOAiODN7vuOOOuGKNxS3W4kzQbrnllvCnP/0p3oN1L4Nq4tpss83ioBXLX/xZIdhwIvFWW20VF3lmmGGGuMrHVhgaeQRftn9ykAVboxFF2RKKoHzbbbcNSFO9D/JU5xFur7/++jjow7oeK2o6vVqB9OP+goCQnlj7lt7TTHmX3p/l73ninWW+eiWuPNWxLNsU6hXtEy5ndt1119guMMDmfaDtKA0MiBF6WTTisJQ0Iav6myyakTYEaUWsNKXgtUUjwDZZ+jsWeOnzKwX6Ofz53XrrrdFaqtI1ftZbBLKaq2UVT576x/KSZHxH+rCEp/9I47+XuPLSdzFPePXVV8OYMWN62n8vTJsZW6Nv4JuUMT4HYlOOlC08fve730Xr3/KyL/07q3IsjdPfGyfQTJkTe9pyp04wR2YHGPc2Enq5jWA+gE7Aoi4uTjAAq2R4mLSBiVV8I1yKdk1hBF8qOBO3xL1B0rGlKbBE/KFBHTJkyLjtEmni6NS1NB5YMNMJsuJXSbBpJC286PxLQunvyWf1fjLpJA1s2cf6yFBMAs3UOQbUrMgzMcMinYFKeeAahBTeXRZaECuph0zUWI0bNmxYvIV6xju64oorxokbiwz84z3AMo8BUBJ4H7DI4/3A8hyL11L3LImgg2CMuJw25KXOs9CFr2IsDwlsQefAjkpuM0rzyOEiiOwEygYxvjw0U97lcWTRvhBnXniX568f/s5bHcuyTWGwyMo/bQouXhggM3ikHUraHcoYBiys4tKB73A7kyZkVX8Z17AQzeIXvoaT3Q9p0uK1EigSAcadK6ywQlzw5ffyQB/E+PSwww6L4kj59/7dewSymqtlEU/e+sfy0mSsi/jDeK+a0UX5PaV/56Xvot9HtCY/ycJn4uqtNL298HvasTVtGIu8GKQx/sAoBotRdA/OI0HMRbOoFbIqx1rP8LvqBNKWOTE1U+7Mo9nVwiLAqaeeGufI1VP1v296tY2gTuOK7fDDD4/GGhwIT1/PuDj5x/uBq8c777wznv3Tz27QCuPDl84g8e1DFeYUwjT+e5MXC+GJziStBU+1F4rBAI0yqwtM0hCTWX3ASqg08HxeOgYgTEIRbMgDvkcrBRoPtuVgqcghMlgl12vwiYfnsLWDdPETUSyx9KPTIB4aDDoThDDEoHqCGOnF8pI8KfhWKq3Ofdau+kYOmqlzvJf4DksWA7797W8PgEG9px4mojB+d6mDvM/UTax3CAxW8Z3JdcSLfz7q6eKLLx799JZGnAyEeC4CMoJOaSB+Bo98XyoEl15T6/e81HnywSAQFgx+Eb9/+MMf1kp6/C5JP3/AsNKKaDPl3Y72hTQm6bWNqVu0mV+QtzqWZZtCX7/yyivHNoX+ma2R/GPgWDp+YIEk2V0wxxxzpPYHmlX9pf3ErQPjAiyOsUyutGsi80pghBLIMQEWOrfccsvYD2IFx9i2NDC25V056qijwkEHHRQXd0q/9/feIZDVXC2rePLWP5aXZNJfkl/GeWl3rnar70rGkrzLzBEQcrDSJ9D/Md9F8MGgI5mrlue9lb/zNJciLZQDdY0x/tChQ6MxC2MVdihyQDPaQq2QVTnWekavf0edo69AXGc8yHiLd6Ye29J8EwehfDGimflUM+XO4s6BBx4Y+0JcHpH+bbfdtjSJA37vxTaCMTnGGbhvwPiBv3/xi18MyBtGX+gB6GSM3WecccYB1/TLB4URfBPfPhRcM/57qSxsjeBlmXXWWVNb8FSqMDSw+C5lhYF4EX1J29xzzx23m/McxCs6NCyLEKA4NIbGhgEsgi4uEvBDXC4Q8zyuwbLhxhtvjJZHjQi+pImDq3genSWTWLaD0xghNuMTlZ+IzTR2pJGXpFqgceN68knjUsmCs9q9fp4tgXbXN1Kbts4xQKExpj5xkFilgOjKIJQtmYiPvC+8i/jkwXVDslWTdyWxROUdQUgmPfiy4r7SkLQHfL/mmmuOt2hBneV+XEhg1YdrhzQhT3We95jD2kgT7yttSz23KgwiaIuwDCbQJlUSfPkubXln3b6QhjzxjsD67L+81bGs25Sk7rNdlL6QNmallVaK70VS1AyI2amAQJxWYM2y/iaLYvTJzz//fLRcSNLoTwn0KwEm1/gmZXGYMW0ly3fGqRdffHEca+DnP80kvl+55jHfWc3Vsoonb/1jeZklY2HmeLwjzNMaDd3quxDd6N94lxHeksVNBF/ygYhDf8y8GPGXnxy0ipvDLELe5lL0++SNnUWIV5xlwk+sGxmjczB1rZBlOdZ6Ti9/hw7DjlHmlezkor9gToW4zm6vZJxYLY+JjoOGg8Eexm/lOy3TzqeaKXcWP3gnSDsLJbwn9UKvtRGwxn0rwjZ+rQn1XDPChLavn/v9Qgi+yYtW6r8XC106hkYDk0gEVwKTulYsVWlciY/Vh7PPPjuu9GBliCCLBTGm9pySyoFSPAerWk4ZxuScySSiKasRHBxDo7P//vvHLenleUGsWn755eMhc7zUCF/lq0rl9xAfp3wjqiUro1hU8o9AA8H3dKgIcRxcV0vwZdBEp0yDwSpjVh1uebr9uzqBTtU3UpCmzpEu3kEGKYiQyyyzTMVMUM9YuGAVksb72GOPjfWQQQyWdpUC9Y1tGgjJ5QJMMrjB6pUOttRSj7gYQCJCszqO5S9tBZ+xtZvryzvp8ufnpc7T7nFqL+0GgQHJUkstVZ7cAX+z0MOghAEjgTLCaqBSSFPe3J91+0KceeFdiU/RP8tbHWtnm0LdZRGINqXUnQNlTHvDjgPEYNoT+kd2JTC4rucTLOv6m+xAQtRizEP89dqsotdT8ycBFn0ZV+OLe4899qjov5BFnWOOOSZaydNX1hsvSzV/BLKaq2URT976x/LSSsbCjJXpN+i70tT5bvVdLLCyLf2iiy6K41Pebearw4cPj1nEaAEXFWxZZ87KuH277baL84hyBmn+hlcn5u6kKe3YmjlUcgg1ugKCHkZhu+yyS10RK+tyTMO0F66l3NlNeuaZZ8YzYRj/odegy5x22mlhr732CiwSlhsWleYNI5q///3vUd/BSO/0008fsHs0bZkTf9pyR9Rk4ZPFTepy4rqvNK2lv/diG5HsRqdNWHbZZUuzU/V3dIZ6Z9tUvbkgXxRC8GU1DgEzETCascJBBGHLCCsq+MhpxFq2Uh3g5aGzuu6662JntdZaa0XRNFlVwPcOwgwHUfEsxN9LLrkkCl0jRoyIAjD5wLqRyozlLANUrBTLBWwafMQqGhF8ne644451J580Bvgyyyrg1xALY6ww11tvvayiNZ4GCXSyvpGkNHWOgeVcc80VrcYRJKqJisTLd3SqdJqsXjOQoV5XCogtTNx4X2nAOYStNNAZ0MmxWotf33KLBqx7OfAI8Qb3B7xnCMBnnHFG2GGHHQZcXxo3v+elziNCcWAdwhOB/ODeol6gfWICQKCMsI5ggFIppClv7s+6fSHOvPCuxKfon+WtjrWrTaEcWfRh8ZUBdqmfL9obPsfqI9n9QxvCQZEslNKn1wpZ11/eSRaFk4VuLPWx7DdIoN8JMPbH8IFdbCeccEJcDCllglDEQi9jYKwd+WfoLQJZzdWyiCdv/WN5STIWTvz30ncttthi5ZfU/LtbfReLqGzPrrRFu2aCW/gyz3MpssU4HQMsBC7KlPkROkUjAn7W5dgC5lzeyryTg71ZQEeTYd6KAQCC6W677RYP/cQ4qHRcWJ4RxogcHEabwBwL5uUh7XyK+9OWO33gBhtsEOsKVq9HHHFEeTLG+7sX2wisdTEIq2fZPl5G/SMUQvDlBWvFfy/1gM6fLSSs4HC4FCJQM4FJIxZ3iEcbb7xxfPFK40FMZrvooYceGk3QjzvuuCi+7LfffuOsihGz8DWG6IsozMSOFbpywZd4sail0jP5RMTimZ0KpAthjW02CGtsfTB0lkCn6xu5S1PnWOhodPEEazkGMdWE3oRsIlgSNwse5e8q37Mtp5pFA9/TXrDwwuCJ9oN3FgvfWqI0z89TnUfoZQs6gUEfHBCnsGyuFRDU8WdI4B78gJeL4qX3pynv0vuy+D1PvLPIT6/Fkcc61o42hXKhr6XN4GfSplD/mFyNGjUqLijTPtCH847hO5u+vFZoR/1ljJJYFTMuaIfgy3iIfNOeMBHuVKAdY3GQBWQG9QYJpCVAf8ZuIURftjwj8pYG3pnbb789MPbec88940Jp6ff+nm8CWc3VsognT/0jfQ3iTWm7ydiWfoo+DSOK8t1utUq6V/uuWnmq9V3e51KknXLEmpl/jYZ2lGOjz+6F6yh35oP4fv/tb38bxV7SDTeM7+g/mBuyA7ya4IuVOYIvBnrMY5lbVnNv2cx8qplyp31jp3ipQZRtRC/UyPalsTlVs33paSrmUsGXiRqTsmoWa9UekEycuJ9JXzOBhoHJF9tQ2Hryox/9aEA0NAas8tApI7z87W9/C5tvvvl4pubEQyPExIfBK4fKYL1XKSBOI/IygOW5a6+9dnTFUOnarD9jBYtVMRoj0pBMkrN+jvFVJtCN+kZKulnneD6dMNuZ2XpdyWKh9PtKixDUU0RlOr9k8kdn/vOf/7xuHc5LnUeEIS3JQhftClaHbPmqFxC8sVYksM2FQ6C4v1roZnnnhXc1NkX+vF/qWFKGiKi4kKEvZfCPu6Vk2y9ui/ARSHuB+yTEJKwDa7k7It521F/ar2Q8wASfQX2WgXYRSxdcSWHl0slAO4Ql2q9+9au4Pb+Tz/ZZxSDAogGTXCyzMOJ49tlnB2SMvvKss86KC8ZYQ9XaqjvgZj/oKoEs5mpkoNV48tI/kg7mwCziI0DjOo05MPMD5pjM0Vik5MBj5pONhl7suxrNW/l1RZ5LtaMcy/n18t/sBL3yyiujb/fS+STzSARcQjJXrJbPZJzIAjn6DuPCaqJ8p+ZTtAm47sPloW1EtZLrr897XvDlRcRpfvJiYv6O1V/aARydPy8+Akizgi8NBD5IsdA95JBDKm61oGPBBQWiCy8hohVb0EoDnTJbyy+77LIoxnD6cLXABInG5Wc/+1l0/YDFHxa/iLDtDEw0EclIIwPmar5W25mGfo+7G/UN5t2qc0l5U7dZJcUHX6UD1/geCzHe5UqCL9+xVQz/TFjic926665b1x1Cnuo8aWEwz8ozgXYPv1PVVqATdtyHWM7qb3JfvVObu1XeeeKd8Ounn/1Qx0rLk373l7/8Zew7EYPoV+mveaf+8pe/RP/7J598ctzex6B9++23L719wO/tqr8IvowbCCwMM97IMjCmYosj/8hDJwNiHRMVhAuDBJolwC4ADomln8dVWqWFC/zfH3nkkdEdCjvUDL1BIIu5GjltNZ689I+kg63bGA4xDjz44IPj78xn2ZnC4h0iMPO0RkOv9l2N5q/8uqLOpdpVjuX8evVvBFpcA7Jji74gCYz70JVYRGFMwntVa3G/1OgQ/ahWf9KJ+RTjQt57DBVw9WkbkZRsf//secE38d/LTwIvW/khTvWKOFm94eUvtZ6pd1/59zj9xtE8Pv2qbUvnRUy2SibCVLnfTax3Ntlkk/iv/BmV/ibPWAGzLR1/v4mfwUrXZvFZshp6zjnnxMHyTjvtVNNCMItnGsdAAt2qb6Sk03WuNPdYL+y7775xwF5pFRVBl0Ev73Wl9xCBF9/avKdY+iAe11sgyVudZ4CK3/IkzDjjjJFJvS171BkOg8TvNgMZ+DExrhc6Xd55412PTxG/L3odKy8zBuLsDOL9wCqGMQXvVeJKid0zuHDgO8RhxgrVQjvrL8/lfeT9ZSshE5MsA/ldbrnlotULliudDOQJCxkmWAYJtEKAbbXsssMwgYVdJr2lgfE+fSjnaRx++OGprB9L4/H3zhHIaq6WRTx56R/ppxB3MCJiIZKxLGdS4BIQn6JLLrlk3KpeS7AqLcFe7rtK85Hm9yLOpdpZjmnY5vlaFrVHjx4d2352OiYBgxhEYARTjAfRVNjxVS0g+OJGkIB+U0+Daud8in4NA0h2qXFGDXM8FtBtI6qVXv98Xn3G0iMMSldWSDKWL/VEj/Ks0TAmgjGdJS9jM4EXDcsCxNdqgU458bGJ8EQj0uzzSp+ByIVVMEIXK1UHHnhgTb+cpfem+R2rZKwKWTnGQoLnJf4E08Tjta0T6GZ9I/WdqnPlpBBmEASqiQK8w8mW5/J7S/9G2CAP9UIe6zxCDJa6BHgwuW3EjQ3tJbsQCLiMwc9Uowc+daq888g7Auuz/4pcx2oVJYIqi0DlIREjESRrhXbXX9530sBEBOEiGbvUSlPa73gG4xP+FSUgjuP+ggX3dgTqDW0kh/4Z8kGA8th5553jZJcDTnk3SwOiHbviTj311OhGpN67XXqvv3eeQFZztSziyUv/iKCDRSE73jCGoD846aSToushDppi92c9ASopySL0XUle0vws2lyq3eVYzpbnwRCr+fI2tvzarP5mnscchp/NBhYBSS+L+YzvksAiOm4e+A6joRVWWCFqO8n3pT8T/724DmLcxPW1xOHk3nbNp3j/ceWAG5fkTCf6NduIhHz//iyE4ItPPQIDbixvGhE+Sou8dNKUWM+Uft/o76wCIYBiFVQtIPgm6UWUqrTlvNq9tT4n3WzNxu8eB779/e9/D1jeJls/a92b5jsEI8ReVo/Z0lpr60KaeL02PYFu1jdS26k6l55Mtnfksc6zAj1mzJiYUQY9WG9UE8ATGkxy2OaHxROBAQErwKUDneTaSj87Vd555F2JR9E/K3Ida2fZdaL+IvYyfmCCxT9DfQKUy+mnnx7dbdW/Ov0VLHyz6L7HHnukv9k72kIAMYBFTQ7jxG1iDgAAIABJREFUwV0LbpDKAwYMWABjvV/qw7H8Ov/uPoGs5mpZxJOn/hGXDaeddlqcW3KODHPBTTfdNPpBR4RqNPRr31W0uVQnyrG0TrFwhqUsFrEIoO0OzFmY7yCspjXwK00bFvFbbbXVeAcd0jZgzHbzzTfHuRHXIPhWCyz8MKdC8EZYZS5Waedp+f3tmk+xSM/uVXaxJq5NMUS0jSgvgf77u6cFX15MBmut+u9FCMHVAoHOEQGlmcBLVUvsZbUIX2KJhW8jpv9p0kEDssACC8TDKhjAsuLUSmNY6dlsZ+XAGqwmEIsM3SPQ7fpGzjtR57pH+H9PzmOdZ1BFugjJwKceJwYmDzzwQGyDaOdYYWbrdprQifLOI+80jIpybZHrWDvLqBP1l/eXg18RHZhoGOoToO1ifNauRWoW12lTDfkiwHuy7LLLhu222y4ceuih8SDG0hTyLlE39BtdSiWfv2c1V8sinrz1j4iW/Gsl9GvfVbS5VCfKsbSeJa7icCvZKQtfdkavv/76LWkctPvlO5QxymMXJHmiXmBAWMtiF3E9OTybNDVqTQ+/dsynWOSstGs8cU1hG1Fac/vr954WfBMfSsmWxmYFVFaLePEIDATaZTGDqMypwRyywkvJ9ptGt1M3Wi0TiwZ8nLYjDBkyJFrI0BAa8k2gE/UNAu2uc92mnMc6j8iTHETDqvJcc81VFxODQHz3EhCJ8d3LaeZpQ7vLO4+80zIqwvVFrmPtLJ9O1N9knMLYJfEx3M48FSFuBFkOwP3pT3/atuwgHhryRwCLKywescS6+OKLxy2SJAufG220UU0rrvzlqD9TlNVcLYt4itg/2ndVfq96bS7ViXIsJUX7iqUswminLHxxY8dCXtaBedJ1110Xo2UX5PLLLz9OHyp/FuI2foDT+O8tj6Pd86ny57X6dyfqluPbVkup8v09LfiyEpOsrJA9BN9mLFp54bACINCJs2LTjkB6k4YBwWXBBRds2pq4VvoYzLRLkGWA3K64a+XJ79IT6FR9I2XtrHPpc57tHXms8wyqknaK9xFXNrVCsk3pjjvuiGU188wzR/9OlFszoZ3lnUfezTDq9XuKXMfaWTadqL+MU7DYR+zV72jjpUm7xXjP0H8E8K2MWwdcqrH7jbqAv8UNNtgg/OIXv6g6qe8/UvnNcVZztSziKWL/aN9Vue732lyqE+VYSorFVA7I5F8vB4RG3N7dddddDblzYBw2duzY8Nxzz8Xd4QjEtayBq7Fp53yq2jOb/bwTdcvxbbOlU/u+nhZ8S03psdBF9Gj0JNJSLFTgTgm+iUDdrDVyabr9XQK1CJQuiFjfapHqre9YVaZDTNzQsFUHP1O1AtbAWPeyu4DFpsUXXzwMGzas1i1+18cErGP5LXzKhnefnUiMW9oh+BI/B5zRzvC8TgUmPrjUoj3TcrlT1PvjOdQt+j626CL48vvqq68edt999/h7f1Do7VxmNVdrNR77x+bqUSf6ruZSVvsu51K1+RTlW3aLP/roo+Gtt96Khm2zzTZbmHfeeatmj3qBmzzGSYn/3nIXEVVv9ouKBHq1jaiYmZx9mCvBlwkMhyrwErHyjr+1aoN+LNbwsfLkk09GpInFbOKkOg1nVnu5n2cRb2I5lyaOetdSifERhv9bAgJcLV9yrDQx6SJt1RjUe6bf9y8B61txy56JKxMW2gbaK9qHWoMM2pIXX3wxnHfeefE+tuRssskmWroVt4q0nDPrWMsI2xZBYv1AG5+MXbJ8GG0Kh6/8+c9/jtsVs4y7Xly0a+w++PnPfx7mm2++epf7vQQaIkAfyNyCsy3YrstCCf7r995777q7Yxp6gBd1hEDS3rU6V2s1HvvH5oq73X1Xc6mqfZdzqdp8ivQt2g/+ewn4wUWjYUxSLbgQUI1M85/3YhvRfG47e2duBF/EXl60o446Kjz++ONhySWXDDvuuGNVUZQXja1ZHFpCYEtBsxZrdN6szkw77bRRlMUnS9bh008/jaIL5v8MNrBgqWWNTMNz9913h1lmmSVzP79Z58348kfA+pa/MskyRUx48GGFvykmrywgVQu0lbfffntcbKKd5LDFdvi+qvZ8P+9NAtaxfJZb6aI0ZcS4JcvAgJtxCovTnfDHV5p2xmJY2bBApeBbSsbfmyWAYPPmm2+Gc845J/z1r3+N4++hQ4eGPfbYw7F1s1C7dF9Wc7Us4rF/TF8J2t13pU9R/TucS9VnVJQrcJOFhS8BwRe3m9UC/QpaERa+yfVpDmyrFm+/f96LbUSvlFluBF+2Gv/pT38Kl112WWT3xhtvREuPalawfH/llVfGa3HnwMmDrYgY+MEcPHhwIN5WLHxpBBhMlAfivOeee+L2yEkmmSRuE6jmCxdrBCxsjjnmmLDLLrs4KC2H6d/jCFjfxqHoq18QeVkMwlUD7Ui1VWjqB5ZN5557bvRRyACGhbRmdkL0FWAzGxcSrGP5qwgIsiziEGgHWj11uTyHtCdYP7IjIHlO+TXt+puxE4tXjMUMEsiCAGNv5hWHHXZYQLzBx+KvfvWrsNRSS2URvXF0mEBWc7VW43EMlr7g2913pU/RV3c4l/qKRb/+xq7qV155JWaf97uWUR51mWtb9d/br6yr5TvPbUS1NPfK57kQfGloWYG/+eabx3Fj9RS3DpUCg7ann346cAARge3Ma665ZphuuukqXd7QZ3T+M800UxRlEVGodAjJjQYaihdeeCEKxljezTXXXOOJKrhzuO2222J0ieBbLW4GqFg7I+Istthi1S7r6c8pQ3wEYs2D1SFlV020SpNRLJJw9fHhhx/GeoET9XrxNnMPaWrmvqzybX1LUyvyc21W5Y8LmgUWWGDcLgcWiSrVc1as77zzzrhbgENrOEmXtqkfQlasy1k189536h7SmlW+rWPlJZ+PvylfDhYh4O8WUT7rwPirHfFmnU7jk0AtAowvb7jhhnDIIYfE3Xssjmy77bZhvfXWq3Wb3+WYQKtztSRrrcZj/5iQbPxnJ/quxlPzvyudS6UlVtzr0aLQfgiMgaaZZpqqmU12mWORyg5xfMOjNxhaI5CHNqKZ+Vprue7M3Y0rmm1MD2IFwgSDM6w7EABx6bD22msPeCovJNbAl1xySbweSzW2/q2//voDrk3zASIsQggvL9uk2dKIL7lGApXjwQcfDAcddFDcOr3wwguHk046KeDwm0AFZhXooYcein/XOmSJxmbMmDFRoNliiy3itoJG0tBL15BH3HZgwQwXRO0shCjifeqpp8Kxxx4b48Xim3ox99xzV8XTzD1E1sx9WeXb+la1OHP9RVblTyaZbCTbjRiw0n6Wu3VInkdbxHfrrLNO2HDDDXPNKKvEJXnv1TaG9Kdty2CXZb6tY1nVxmzjYTGT/pMFHq1hs2VrbMUhQL+IWzTEXsaZHOq82Wabha233rriLrzi5LzYOWllrlZKptV47B9LaTb2e976LudSjZVbv1zFAjq6D7siGV9h5VspoFlhsHbLLbfErxmH6c6hEqn0n3W7jWh27pU+p52/IxeCbzJx4ZA2rNbWWGON+K+S4Iqwcf3118ctygin888/fxzAtbqtkc77+9//fnzJWblBwK30/EpFhEDM9sfLL788fo3/OU4BRvBFoMbi9Nprrw3zzDNPeOSRR6JlKKdAlgcaEYTmUaNGRUEHDkUM8Dr77LPDySefHLOHNTOf/eUvf2npgDossymH4447LsaLBThbLhB9qoVm7iGuZu7LKt/Wt2qlme/Psyp/cpm0V+yCwP85bQ5bVZNAW0LdP/PMM+PBlj/60Y+iz0JWovshZMm6lFcz732n7iGdWebbOlZa8vn5nTEQ/nWZjLBIXW1Skp8UmxIJdJYAQg7vCAcP4kqNfpLFf1yk6c6os2WR9dOSfol5Y9q5WmlaWo0nud8xWCnV2r/nre9yLlW7vPrt22T3NdoBfQguPssNaZhbscMKvScRfPH3q+CbTW3pdhvRzHwtm5y3P5bqxw+2/9njnoDfNjrNpZdeOsw+++xxFb5cbEU4RfnnBcPXL79j2Ysvro033nhcXM3+wsoOz8Y9BBUOwbfRwIoALhsYgJCPhRZaKArXpBmn3mypRuD9wx/+EIYPHx7jx/IAy98k0Lg8//zzUezl5y9/+cvomzP5vkg/seTGJUcSGLRxqBRWGK0E4rn//vvHRYEQ9tJLL437u9IvzdxDPM3cl1W+rW+VSjL/n2VV/uQUdzP4l1prrbWiz/Ebb7wx7k7gO3YpsHB0/vnnhwsuuCCsvvrqYd999838cKc8E8+SdWk+m3nvO3UP6cwy39ax0pLPx+9MNhhrYP2N66glllgiHwkzFRLICQH6P3bJcUDbFVdcEZjEr7LKKnHBs3zynpMkm4wUBFqZq5U+ptV47B9Ladb/PY99l3Op+uXWT1fQP7C7HNcMjLPQm+hPksDv7DBnXkX/gsaA7oNuVGpwk1zvz3QE8tBGNDNfS5fL7l094YgRI0Z07/FfPRl/Svxj1YSOmBeIv3mZPvroo/iSXXPNNXHFHnN73ADssMMO4ac//Wkm27MQnXnOfffdFw9Mw60EVnGVDmD7KtX/+41rEKA5rRHReMstt4ziCmLjrbfeGq17+WzxxRePgjDPYIUIwQZRmFWkxx57LFx00UXRMpjTg/EHU9RAnhHAR48eHbOISM7kFdcLrZzMTedN3XjiiSfi6hyLBiwG/OAHP6iKspl7iKyZ+7LKt/WtanHm+ousyj/JJNa6bFPFQh7/4bQZDEA48JG2hH+rrrpq2HPPPTM/2ClJQ15/Zs06yWcz732n7iGNWefbOpaUfD5+IuhzFgA7WejfWPBu5eyCfOTKVEggGwJMGFnsZPfY8ccfH3eM4doLd2u1DuDJ5unG0gkCrczVStOXRTz2j6VEa/+ex77LuVTtMuu3b9GcGE9xjhJus9Bw0HQwzkOzwFDtyiuvDFdffXXUctjJTRuwzDLLZGJ42G+8y/ObhzaimflaeT7y+nduBF+2Wc0wwwxR4EWowA0CPrgYvGG1iRB8+umnR8s2RLy99947LL/88g0Jso3CZ7KM+HrddddF0RnBl5e5XqCR4MA3rmVViMYCAZd4sMTZaKONwkorrRS3knFwEtswaSgQgxFqsPblwDochP/iF78ovDgDL4QqVstoXFdcccX4E9F3kUUWqYe76vdsbUX0ohxYqcOqgwUBtl5VC83cQ1zN3JdVvq1v1Uoz359nVf5JLieccMIwaNCg6DqG7au0I1g2Ye3LQGXzzTePOwVqHTyQxFW0n1mzTvg089536h7SmHW+rWNJyefjJ+OLCy+8MNx7772BswJ23nnnQBkZWifA+I8FMyZ2/GNrH2NQAowxPjDklwDlxxbts846Kxx66KFx8Ytttvvtt180tshvyk1ZWgLNztXKn9NqPPaP5USr/53Hvsu5VPXy6tdv0As4H4XFAHZb494BvYZd3+g0jAk4CwVBGOMy5ldoUhj0GVojkIc2opn5Wmu57tzdE3xJj5ejgGuDxEINsRRLWAQ8/OEilPJSJYcVZZ1sBMi77rornuCLhS++YH/4wx+mekxiYYd7AqyU55133rgSVB5J4jYCYRtxEuuDfj0Vmy0S//jHP6IIjEDbLyGLfFvfere2ZFH+5B6rJlzHPProo3HBiRVp2hNOmTX8j0BWrHuNZ1b5to51v+QZqjEm2n777eNkY7fddgu77rpr9xPW4ymAa+IKhQkcEzuEQyZ2LOQzLhsyZEjgjAl+1lpA7nEUPZ18DC0wFtl9992jYM/YG8MQDC4MxSKQxVwNIlnFY/9Yu371Qt/lXKp2Gfbbt7QN6E8Iuyz+4uaBeRXGauzmXm+99aJBImc/YYzIeVKG5gn0QhvRfO7ycWcuDm0rRYGlLwM1/hGoBKy0dCKwWosFLta4V111VbjhhhuiFXEaCxrcUeDLpZ4/FyYNSy21VCeylftnIPLjEoPJVD+FLPJtfevdGpNF+ZP7xHc4PtANlQlkxbpy7Pn9NKt8W8e6X8ZsK0TwxSUU7o/w321ojQCTujfffDPuimDSxsnbLMCz4M8kD9ZY+2J5gkX1NttsE3ARwDjRw79aY5/l3bhju+mmm8Lvf//7uEuPseTWW28dfvzjH2f5GOPKCYEs5mpkJat47B9rV4xe6LucS9Uuw6J/y6IN42X6dd5n2gZ2nfOvNKBVIALjPpKxAkaIrbiiLI27n3/vhTai18sn93vUOiX2JgWJef4aa6wRfbZce+21dQ/9Su7zZ/MEaEBffPHFvhN8+zXfzdeUYt1p+XeuPPuVdb/mu3M1q3NPwt0UFoyMiVgsLrKf/05QxVcbWzZPO+20cOKJJ8aDdvl91KhR4eKLL44Hfp166qnRippdE5w5wGG6++yzTzyIl/sN3SfARJGy4VBkfCxOO+20YZNNNgnbbbedbji6XzxtS0FWc7Ws4mlbRgsQsX1XAQqxwFlghw+Lu7gO5UyUxJVTpSxTl7mOcRjWvo2e9VQpLj/7ioBtxFcs2vVb7gXfdmW8Wry4j2DFhtOvWcHBXx5Wxob2EGDSxLYJtlCWr6S154n5iLVf850P+t1PheXfuTLoV9b9mu/O1azOPYmyxD83O484rG399dfv3MML+iQmGAi6l112WRR1DznkkLDQQgtFF2JM5tiFNXTo0LDTTjvFw4IZF3KCMwfm4TaAcxoM3SXAe4Ero8MPPzy6Y8Mye9111w2//vWvoz/z7qbOp7eTQFZztaziaWdeezlu+65eLr3ipx2rXs5EYPcOO0JwmYXP3koBtx8PPfRQuOaaa+I4gQPh3VlZiVS6z2wj0vFq9moF3wrkBg8eHF96hF5WctjyZ2gPAYReVtQ4rA0H+v0S+jXf/VK+9fJp+dcjlN33/cq6X/OdXc3JT0yUJadDs3WdQ05ZkDY0T4CJ2z333BPddv2///f/wpprrlnVGpStvsOHDw/7779/tB5lcvLII49EERjR2NAdArjj4KyM448/Plx66aVxAo47tj333LPiuRndSWXjT2VLMXXL0DiBrOZqWcXTeMr750r7rv4p617MKfXzkksuiX55ST9jA4zQygP9DYvup5xyShyHIfb+6le/CowPDK0RsI1ojV+jdyv4ViDFKX28zFgKsNLDFj+tfCuAavEjVtY4oI9DUvrJ11q/5rvF6lKY2y3/zhVlv7Lu13x3rmZ17kmJsMXiM2cDYIEy0US5O36hc0BafBJjOXZvnXXWWYEDVxo51IsDMGG/wQYbxK2cHLqLlc+ZZ57p2LDF8mjmdsRR/C3jdxk3HJTPkksuGfbaa69oAd9MnN28h4UcLJVZSDA0TiCruVpW8TSe8v640r6rP8q5l3OJ+wYON8bSn91TLKYvtthi42WJ/mbs2LFxdw+uPhkLcGAuhmqG1gjYRrTGL83dCr5VaE033XRhiy22iJYC55xzjr58q3Bq9mMaUCZdWGZwAEq/OD3v13w3W0+Kdp/l37kS7VfW/ZrvztWszj0JcRJrE9wOIDJuuumm8cC2zqWgeE9KJhh33nlnWHTRRcP777/fkGg7aNCg6EoDcYiAde8FF1wQ7y8epfzmiHeCQ/TOP//8cNRRR8WEItz/9re/jQJ+flNeOWW01/gexoKc+mRIRyCruVpW8aRLfXGvtu8qbtkWKWfsLOaQz9lmmy26AhoxYkQUf5M80j4j9rK4eMwxx0StAv/wnPVkaI2AbURr/NLereBbhRgWNIiQO+ywQ9w2xovOqc2GbAgwybruuuuiBfW2226bTaQ9EEu/5rsHiqYjSbT8O4I5PqRfWfdrvjtXszr3JERe/PZiSbraaqvFw6g69/RiPokDWp566ql4bgC7t2D70ksv1c0sY0IOBGP7NwHh+PXXXw8PP/xw3Xu9IDsCvBO4Nzn00EPj1loOL8QtB+4cejG899570VqcOsk7bkhHIKu5WlbxpEt9ca+27ypu2RYpZ5NPPnm06p1xxhnD/PPPHyabbLLoWgf3Oiwssuti5MiR0d8/1r/77bdf2GqrrYqEoGt5sY3oLHr3BdbgzQEQ66yzThR8sUSdd95544Srn3zN1sDT9FfJqs4DDzwQBfVZZ5216bh66cZ+zXcvlVE702r5t5Pu+HH3K+t+zff4pV+Mv9hqePfdd4djjz02Wi5yUBiTE0NrBBB8cSXFwshFF10UbrnllijcHnDAAXUjxl8f2z6xyCTg7++FF17w4Ja65LK5ANcHlNfvf//7WGbsDvvZz37WswshuN7hECAEhTnmmCMeEpgNqf6KJau5Wlbx9Bf9gbm17xrIxE/ySYAdOwi5jAnwB8/C4eyzzx5om59//vnATiC+22yzzQLGacmCbz5z0zupso3ofFlNOAL7dUNVApzUzEDsySefjAd8IPoyyOQUZ0NzBGCHvxz84PSTD5x+zXdztaR4d1n+nSvTfmXdr/nuXM3qzJOwLnniiSfCEUccER+IVQn9paF1AlhU4ofvvvvui5FhqTvJJJOEjTfeuG7k//73v8Ptt98e/a1yMeNDfMfiGsLQXgKffvppPGgPYf7+++8PuNjYfPPNoysHfPj2WkBQwDr8r3/9a6xPCNfDhg3rtWzkJr1ZzdWyiic3YDqcEPuuDgP3cS0TQI9YaKGFwgwzzBBuu+22uPuYn4wVFlhggXhuwk9+8pPAgpChdQK2Ea0zbCYGLXwboIZFxz777BO3kB133HFh+umnD2wjMzRPgFU1VtH6LfRrvvutnKvl1/KvRib7z/uVdb/mO/sa1J0Y8RnHgVSJf1jGHhwia8iGAIIOC80Ihlj5YrGz4IILNhQ54jDbEJPw9a9/PUwzzTTJn/5sEwEmiI8//ng48sgj44Sciffaa68dfvOb3wTau14LiNccVsyCzrnnnhsWXnjhsPLKK/daNnKX3qzmalnFkztAbU6QfVebARt92wgg+i6//PLxX9seYsTBNqJ7lUAfvg2w/9rXvhYF3n333Tda+3I6s0ECEpCABCQgAQlkSQBRkQNNOTkaa8blllsuy+j7Pi7cYiAW7rjjjvHnzjvvHF1LNQIGFw6l/n4RG/vFJVUjfNpxDe8DbjNOPPHEcOGFF8bdYSuuuGLYc889e05sx+UOVuJsEz7kkEPCWWedFfPDAkQ/GkBkXV+ymqtlFU/W+ct7fPZdeS8h0yeB7hKwjege/wm+ZARiaJgA27CwCpl66qkbvscLJSABCUhAAhKQQD0CDMmwAMRf6RRTTFHvcr/vEAEsU+66666w1lprxQPfJpxwwrgFn/Mdpppqqg6lor8ew7vAwsdJJ50U/fbismappZaKu+2GDh3aUzDwWYhwzVbhk08+OYq+ZIAFAyyXWYQwZEcgq7laVvFkl7P8xmTfld+yMWUSyAMB24julYIuHVKyZwufYm9KaF4uAQlIQAISkEBdAohaHAzr4bB1UXX0AiwzR48eHcVeHoxbAayvFXvbUwxMDDklnYP1cH3A37je+PWvf90zh5uRZqzCX3/99XGnvV9yySXxM6hNNNFEYciQIWGZZZZpD8Q+jjWruVpW8fRDUdh39UMpm0cJNE/ANqJ5dq3eqeDbKkHvl4AEJCABCUhAAhIoJAGEO/wqI9YREOrmn3/+wEFbhvYQ+PDDD8PVV18d/vCHP0S/yZybgRuO1VdfvT0PzChW6grWvG+99VasMxy+yCGBV111VRR+Sx+DBf/w4cPDlFNOWfqxv0tAAhKQgAQkIIHMCCj4ZobSiCQgAQlIQAISkIAEikQA9xr3339/3IaPf8+ZZpopbLzxxvpdbVMhYxWL64Pf//73YezYsfFgvS222CJsvvnmbXpi+mhx8cF2f8Rd6sd//vOfgEiNJfiLL74Y7rjjjnDDDTeExx57LB5UU/4ELJ2mm266sNpqq5V/5d8SkIAEJCABCUggMwIKvpmhNCIJSEACEpCABCQggaIQ4JCRp59+Oh4ahriHSy/8rW6yySZFyWKu8oH/asT1P/7xj9ENAgfj4crhhz/8YSyHTiYWa93kHwLv559/HqgPCL2I0ricwF3DK6+8Ep5//vnw3HPPhWeffTb861//ivfVSisuW+aZZ56w8MIL17rM7yQgAQlIQAISkEBLBBR8W8LnzRKQgAQkIAEJSEACRSOA2MfW/IsvvjjcfPPN0W/vOuusE/baa6/4e9Hy2+38IKg++eST4eijjw433njjuOS8/PLLYbfddhv3d6d+QdzlH+lC7C+14v3ggw8qWu42mjYWDlZdddWAj1iDBCQgAQlIQAISaBcBBd92kTVeCUhAAhKQgAQkIIGeJIDAh/B44oknhkkmmST6j91vv/3iVvyezFCOE40F7UsvvRROPvnkcO65545LKe4SHnzwwXF/F+EX3IIMHjw4Wi0XIT/mQQISkIAEJCCB/BL4Wn6TZsokIAEJSEACEpCABCTQWQJYdN59993RtQB+WbHGROydeeaZO5uQPnhaYkl95plnhhNOOKEly9lewDXppJOGoUOHhllmmaUXkmsaJSABCUhAAhLoYQJa+PZw4Zl0CUhAAhKQgAQkIIHsCOCj9eGHHw5HHnlkGDNmTFhzzTXDiBEjwlxzzZXdQ4xpHAEEXw46w7J3qqmmGvd5UX/57ne/G9ZYY42iZs98SUACEpCABCSQIwIKvjkqDJMiAQlIQAISkIAEJNAdAvhr5ZC24447Ltx+++1h3XXXDfvvv3+YddZZu5OgPnnqtNNOG7bZZpt4GFrRszxo0KCw9NJLFz2b5k8CEpCABCQggRwQmOBLltYNEpCABCQgAQlIQAIS6FMCHND1wgsvhGOPPTbgXgCxd5999on+VvsUidmWgAQkIAEJSEACEuhhAlr49nDhmXQJSEACEpCABCQggdYIcGjYa6+9FkaOHBkuvPDCsPHGG4e99torTDPNNBUj5vpPP/00cADXxBNPXPEaP5SABCQgAQlIQAISkEA3CXhoWzfp+2z91ydAAAAaoklEQVQJSEACEpCABCQgga4RSA4NO//888NZZ50VNtpoo+jGoZrYS0I//PDDMHr06Ojjt2sJ98ESkIAEJCABCUhAAhKoQUDBtwYcv5KABCQgAQlIQAISKCYBxN733nsvXHbZZeFvf/tbWG+99cLee+8dvvOd79TMMNbAp5xySnj88cdrXueXEpCABCQgAQlIQAIS6BYBBd9ukfe5EpCABCQgAQlIQAJdI4Cl7rXXXhtOPfXUsNpqq4U999wzTDbZZDXTg0j8wQcfhFdeeSUMGTKk5rV+KQEJSEACEpCABCQggW4R0Idvt8j7XAlIQAISkIAEJCCBrhD46KOPwq233hrF3uWWWy7ssccedcVeEvrZZ59Fsfedd94JM888c1fS7kMlIAEJSEACEpCABCRQj4CCbz1Cfi8BCUhAAhKQgAQkUBgCn3zySbj77rvD0UcfHWaYYYaw6aabBgRc/lULWPZ+/vnn4Y033ohWwbh9qOXnt1o8fi4BCUhAAhKQgAQkIIFOEFDw7QRlnyEBCUhAAhKQgAQk0HUCWOg+8MAD4bDDDgv33XdfWHnllcORRx5ZM11ffPFFFHv/85//ROveZ555JrqAmGCCCWre55cSkIAEJCABCUhAAhLoFgEF326R97kSkIAEJCABCUhAAh0jgIXuE088EY466qgwatSo+NyRI0emfj6WvbPMMkvq+7xBAhKQgAQkIAEJSEACnSLgoW2dIu1zJCABCUhAAhKQgAS6RuDdd98N559/fjj77LNbSsM3v/lND2xriaA3S0ACEpCABCQgAQm0m4AWvu0mbPwSkIAEJCABCUhAAl0ngIXvf//737DMMsu0lJYZZ5wxzDvvvC3F4c0SkIAEJCABCUhAAhJoJ4EJvuQUCoMEJCABCUhAAhKQgAQkkCsCCNQfffRRmGiiiQKWxXkOCOoffPBB4EC7XvRvLOs81y7TJgEJSEACEpBAWgK6dEhLzOslIAEJSEACEpCABCTQZgIcMDdmzJhw1VVXhbFjx7b5aa1H//bbb4crrrgiPPnkk9GSuvUYOxeDrDvH2idJQAISkIAEJNAZAgq+neHsUyQgAQlIQAISkIAEJNAQAQRIDpg7/vjjw/XXXx8mmWSShu7r5kVY+N5///3hgAMOCA899FD44osvupmchp8t64ZReaEEJCABCUhAAj1EQMG3hwrLpEpAAhKQgAQkIAEJFJsAQulLL70UTj311PD666+HvfbaK0w33XR1M41LgnfeeSe8/PLL4ZNPPql7fTMXIOq+8cYb4bXXXhsg6M4wwwxhm222CZ9++mnYf//9o6Vv3j3HNcO6E5wpm6KxJk+we+utt8Jzzz0XENoNEpCABCQgAQm0j8CEI0aMGNG+6I1ZAhKQgAQkIAEJSEACEmiUAK4RzjvvvHDTTTeFgw8+OMw111x1b0VYRRweOXJkdAEx7bTThsGDB9e9L80FCJBPPfVUOO2008Lo0aPDPPPMEyabbLJxUeC3F/+9M888c7j88svDI488EpZYYonxrhl3cU5+Scu6E5xBUzTWcPvwww/DY489Fs4555xw6aWXhsUWWyxMPvnkOakJJkMCEpCABCRQPAIKvsUrU3MkAQlIQAISkIAEJNCDBDig7cYbbwzHHXdc2GijjcI666zTUC6wlrzzzjvD1ltvHf3+DhkyJAwbNqyhexu9COvh008/PbpswMJ3ySWXDLPMMst4t0844YRh6qmnjsLv2WefHa2AF1988Xjo3HgX5uCPZlh3gjNoisAaK3MseV955ZX484477gjHHHNMOOGEE8J//vOfsMoqq4QZZ5wxBzXBJEhAAhKQgASKSWCiYmbLXElAAhKQgAQkIAEJSKB3CLDd/emnn45iL+4RNttss4YTj2sCLGy/973vhVlnnTUst9xyDd+b5sJvf/vbYeGFF47WmQsuuGDFW/E3vPTSS0fr3jPOOCMMHz48/l7x4i592CzrTnEGS6+zxvXHiSeeGAVfBF4WAxCBEzcfyc8uVQEfKwEJSEACEig8AQXfwhexGZSABCQgAQlIQAISyDuBf//73/GANg5r++Mf/ximmmqqhpP8zW9+MwqrZ511VphiiikCLh2yDljubrvttmG11VaLovK3vvWtqo8YNGhQWHvttcOoUaPCySefHBZZZJHwjW98o+r1nf6iWdad4AyLIrDG3cdKK60UJp544jDbbLOFSSedNNaF6667LhY3CxQGCUhAAhKQgATaR0DBt31sjVkCEpCABCQgAQlIQAJ1CWDtOHbs2HDJJZdENwkrrrhi3XvKL0CMbMTfb/l9af5GxJtvvvnq3oK4i7Ux1sC4mnj00Uej6Fv3xg5c0CrrTnAGQ6+zxp/zyiuvPK5EcVNhkIAEJCABCUigcwS+1rlH+SQJSEACEpCABCQgAQlIoJzAxx9/HA85e/zxx6P7Ayw8ez1g5bvuuusGtvZfcMEFucmOrHNTFCZEAhKQgAQkIIE2EtDCt41wjVoCEpCABCQgAQlIQAL1CLz55pvh8ssvD/i/XWKJJepdPu57fNF++OGH4dNPP40+X/H7mmXAGpbDzfDBOtFEE8Vt+fxsJLCF//vf/348uO3WW28NH3zwQby/1r08r9pWf74jn7hjwIKY+JNr+Q7/sLAg8F01FxLNsG43Z9Lcada1ysHvJCABCUhAAhLofQKNjdh6P5/mQAISkIAEJCABCUhAArkk8N5774W77747sA1+0UUXbSiNCLH4+8UqmPvx3YtYPMssszR0f72LEFDHjBkTnnrqqfDaa69FcXWeeeaJIi7prBcQYyeffPIwxxxzhNdffz089NBDYckll6x422effRZeffXV8PLLL4cpp5wyzD777NH3a3Ixguu//vWv8MADD4Tnnnsufkde55577vD555+HZ599Nv5DzOVgtcGDB4ehQ4dGX7hJHMnPtKzbzZl0dZJ1wsGfEpCABCQgAQkUm4CCb7HL19xJQAISkIAEJCABCeSYAGImQuVLL70Uhg0bFmaYYYa6qcUtwejRo8Npp50Wfb1+/etfDyNHjowuFDjwrRFBttZDEDnvueeecM4550Sr2SFDhoQ77rgjPP/882HvvfcOm2++efja1+p7hsNief755w9XXXVVuO+++6oKvrh9OPTQQ8N5550Xff0efvjh4/kKhg/5u//++8P0008fLr300uiv+OCDD45iN/dh+Ysg/cILL0TxfKeddgrbbLPNOCtg8puWdbs5k6ZOsSbvMEJczjJQDyjnrK3Ls0yjcUlAAhKQgAT6kYCCbz+WunmWgAQkIAEJSEACEsgFAdwlYEWLcIawWk9IRbh75plnwplnnhmGDx8efvrTn0brWcTZG264IQq1zRz6lsDAbQLC6t///vcoQCPu8syLLrooPuuEE04Ia665ZkXr2SSO5CdCIFa4F198cRS0k8/Lf7711lvh6quvjv5+H3vssXDvvfeOE3xJzyOPPBLuuuuu8Ne//jW6dUAgxgXGgQceGK2IV1hhhbDRRhvF+/fcc89omXzFFVeEn//852HCCScc97g0rNvNmUR1kvXbb78dzj333GhFPQ5IBr9861vfitbUq6++egaxGYUEJCABCUhAAlkRUPDNiqTxSEACEpCABCQgAQlIICUBLDxxnYDP2RlnnLHu3e+//3645ZZb4nWbbLJJdGGAm4J33303ujpA1Gw24Ef2xRdfjJa9WMv+7Gc/iwI0aUQ4xV0Cz8LFQyMHy0088cRh2mmnDbhswEq3WsCNw0orrRT9BM8111zRKji5FqESsXexxRYL00033TjhmHRgNbz77ruHLbbYIlryvvPOO9ESGVcSuLYoF8/TsG4nZ/LWadZwRARHXM8yUG+xGlbwzZKqcUlAAhKQgARaJ6Dg2zpDY5CABCQgAQlIQAISkEBTBBBDEeM4DG2yySarGwfWrQigWPbiygGRE/+/iJlTTTXVOMvYuhFVuAAXBo8++mgYO3ZsGDFixDjBFBH56aefjqLqN7/5zficCrcP+AiRmAPUsGQl3dUCQve+++4b1l577TDbbLNFq+DkWvKHhe+uu+4aP+JgtieffDKQDvz4Ikonh7fh7mG77baLovSmm2467vMkrjSs28mZ9HSa9ZxzzhktfJOD7RImrf6kjBupt60+x/slIAEJSEACEkhHQME3HS+vloAEJCABCUhAAhKQQGYEcB3wwQcfRHG1ET+oiLyIohyAhpUoh5lhucm9Cy64YPyu2cQhzCKeIpZidZsEfL/i5gGL3Zlmmin60U2+q/UzEXw5WA1Rm7zyWXnAEhfRt5KFM8Iu1sYLLbRQtDAmHg6rw8J4tdVWC7gUSAIWwHvssUfy54CfaVi3kzMJ6zRrGCO+888gAQlIQAISkEDxCSj4Fr+MzaEEJCABCUhAAhKQQE4J4CYBa08EObbH1wuzzjprtL7lOrbS4/8XC1+sW/Gtm1i71oun0vcc9oaVbWlAVMZdBIIvlpyLLLJIw88gTwi2SR7JJ3590wTyu//++8dbEMaxQEaA/u53vxvTkiauJB2NsG4nZ9KcR9ZpWHqtBCQgAQlIQAL5JlD/eN18p9/USUACEpCABCQgAQlIoGcJJFviESMRcNME/LFeeeWVAQvamWeeOSy33HJpbm/oWtwgvPzyy9G3byL4NnTj//mpJW0ERFbcVrQS8Nt7zz33RCvhQYMGBfz9pgnNsu4EZ/KRJ9ZpuHqtBCQgAQlIQAL5I9DaqCt/+TFFEpCABCQgAQlIQAIS6BkCuElAvEzcDTSacATiV155JVx99dXRWnT48OHjDlLDKrcVS9/SNCTuHIhziimmCN///vdLv675O3nC/29iUduIBXOtCEnLvffeG62Ev/e970Xr4VrXl3/XDOtOcSat7WSN8I4/5LSLCuUMy/+mbHETwUF5BglIQAISkIAE8kNAwTc/ZWFKJCABCUhAAhKQgAT6jAC+YhPBF8Gv0YB7g3/+85/hueeeC/POO29YffXV460IrC+99FL0tZvWfUKlZ7///vtRZEUsxYoYH76NBgRf8oRlL2JxK4G43nzzzei/l7hwLZE2NMO6U5zJSztZw+60006LdSMtt1rX40N52LBh4cc//nGty/xOAhKQgAQkIIEOE1Dw7TBwHycBCUhAAhKQgAQkIIGEAELqtNNOG7fzcyBZowEBj8PasJrlUDMEUKxwx4wZEw477LCwzz77jOfygO8Qg3kGIt0000xT91HcgxuFBx98MLX/XiLnYDIOlcOPLz53qwWe89FHH8W0cfgcB8aVWyiT9sceeyx8+OGHUXheeOGFq0VX9fNmWHeCMwluN2uEa6yjX3vttap8mvmCsm1VzG/mud4jAQlIQAISkEBtAgq+tfn4rQQkIAEJSEACEpCABNpGABFyuummi354sdbFjyuWqLUC4iB+Ze+6664w1VRThVVWWSXekxxqhtA6ZMiQ8aLgu2uuuSZce+21YbbZZgtbbrllFJrHu6jsD9KCtfCLL74YZplllrDooouWXVH7T0Rc8oSlMS4YqgXSdt1118V/iNebbrppzFfp9VgK33fffdF/LwI516UNaVl3ijP5aDfrOeaYI5x77rlRhCdfWYXEXUe9+Hhm6XNLf693r99LQAISkIAEJJCegIJvembeIQEJSEACEpCABCQggUwIIELiJmH66aeP1pdjx44dINaWPwi/sli8IpQiFg8dOjQKxk899VS47bbbwoYbbhgtf0vvQ7g98MADw0MPPRQGDx4crTK33Xbb0ksG/F7uU3ahhRYacE2tD0jjM888E3281hJ8ORTuoIMOCvfff38Uo2edddaw5pprjhd1khb8xS644ILRSnm8Cxr4Iy3rTnEm6Un+EEKxmG0Ha8RZLHI7EcgHbjhgyE/8B7/++uvx0SxIUM+pvyxukC4O1OOnQQISkIAEJCCBbAgo+GbD0VgkIAEJSEACEpCABCTQFAHcK6ywwgrhxhtvDI888khdwRdxDCvXBRZYILo4QDDF1cFNN90UXTWsscYaA9KBmIYrB1wmYE2KtWy9gE9ZrkMoxX8vQnGjAcHv3XffjT53ua+WRS5pI138Q9DlgLHygDiIoI1F89JLL13+dcN/p2HdKc4kvlOsGwbV4oWI/Q8//HD0u4ylN8L/9ddfH+sS9WLkyJGxfnznO9+J5Y7IjxWyQQISkIAEJCCBbAhMOGLEiBHZRGUsEpCABCQgAQlIQAISkEBaAhxq9vHHH4dRo0ZFa99ll112gA/b8jgRbxFScZmAmIZ/28kmmyzssssu0YVC+fX4+sUaGN+4/MSXL64TqgUE2+effz4cddRR8Z511lknDB8+vNrlAz4nP3feeWe48MILw7rrrhv/Dbjo/z5I0gaH1VZbLV5baolKWnBhgQ9a3EpstdVWMa/V4qv1eVrW7eZMWjvJuhabLL9744034iFx1GkWMbDoRayfc84544IGlr/U2dGjR0dhOLHczjINxiUBCUhAAhLoZwITfMkIwyABCUhAAhKQgAQkIAEJdI0A1pA/+clPwgwzzBDOOeecMPXUU9dNS7JVHncNHHSG397yw87KI8G6F7cPRxxxRLj00kvLvx739yeffBKuvvrqKL5ifXnMMcdEMXbcBXV+eeWVV6KbBp518sknh2HDhtW5o/bXpAcREYtQhO1WQlrW7eRMPvLGuhW23isBCUhAAhKQQD4I6CgpH+VgKiQgAQlIQAISkIAE+pgALhpwxYBVLYerNRJwOYCLgoUXXjgeqlZP7CVOtte/9tprYfbZZx/3iP/f3v37Ur6EcQCem5toJLZSKkWjQCOhFRGFBoWWSnSbbKXxL4g/QbRIRKVUSohE4lchWp0QBZJ7806yN64wscHud5xnGtkzzvm+84xi88mcdyLQjNefjmgxEJfCxTOix3A8460jPi8uetvd3c3vix7D7x1xCjjqeG/YG3X8qvVHOceza7B+7155PwECBAgQIPDnBQS+f34PVECAAAECBAgQINDiAp2dnWlmZia3W9jY2Mg9eT+DJILc8/Pz3Bohvuh3fX2de/9ub2//d6lWfN0++gLv7Ozkr+FHm4W4VO6tI9pFxHsjKI01RRuFJo3fYf3UOdbeqtZN2ne1ECBAgACBVhIQ+LbSblsrAQIECBAgQIBAIwXi4rK4tGp2djYHsnHBVZwG/cgRrQOOj49zz9+xsbF0f3+f2ztMT0+n79+/5xYOEUxeXV3lfsLxuwMDA2lqaurNZcRnHh4epq2trfy+eE7TxmdbP3eO9beqddP2Xj0ECBAgQKBVBAS+rbLT1kmAAAECBAgQINBogWhXMDo6mk/fRs/cuNTqo8bj42M6OTlJcZJ3ZGQkt4K4u7vLAfDNzU2Ky8niRO7p6Wm+aG11dTUNDQ2lHz9+5CD6LXXEyeDLy8vcg7inpyctLCykCFebOD7L+iXnWH8rWzdx/9VEgAABAgS+usDfS0tLS199kdZHgAABAgQIECBAoAaB9vb21NXVlfvnxknZ6H/b0dHx7tJvb2/T3t5eip/z8/M53I0wNgLKi4uLHOrGc6N/cJwuHhwczGHv8PDwm54dJ4PjUrVoR3FwcJAWFxf/1yf4TR/ym3/pM6xfco5ltbr1b95ajyNAgAABAi0v8Nc/8b8zgwABAgQIECBAgACBRghECHt0dJSWl5dTd3d3Pin77du3d9UW7SHilGlbW1uKC9B+joeHh9yvd39/P5/OjUvgent7U19f3y+dzo1ewOvr62lzczPNzc2liYmJn49o9M+Ptn7NORBa3brRfwiKI0CAAAECX0xA4PvFNtRyCBAgQIAAAQIE6heI4PDs7Cytra2lycnJ1N/f3+hFxSnhlZWVND4+nltGNLrYZ8WxfgbinwQIECBAgED1AgLf6rfQAggQIECAAAECBL6iQHwRLy77ivH0VG4T1xr9e+MEa9PrfM2O9WsyXidAgAABAgRqFBD41rhraiZAgAABAgQIECBAgAABAgQIECBAgMALAs28NveFQr1EgAABAgQIECBAgAABAgQIECBAgAABAmUBgW/ZxywBAgQIECBAgAABAgQIECBAgAABAgSqERD4VrNVCiVAgAABAgQIECBAgAABAgQIECBAgEBZQOBb9jFLgAABAgQIECBAgAABAgQIECBAgACBagQEvtVslUIJECBAgAABAgQIECBAgAABAgQIECBQFhD4ln3MEiBAgAABAgQIECBAgAABAgQIECBAoBoBgW81W6VQAgQIECBAgAABAgQIECBAgAABAgQIlAUEvmUfswQIECBAgAABAgQIECBAgAABAgQIEKhGQOBbzVYplAABAgQIECBAgAABAgQIECBAgAABAmUBgW/ZxywBAgQIECBAgAABAgQIECBAgAABAgSqERD4VrNVCiVAgAABAgQIECBAgAABAgQIECBAgEBZQOBb9jFLgAABAgQIECBAgAABAgQIECBAgACBagQEvtVslUIJECBAgAABAgQIECBAgAABAgQIECBQFhD4ln3MEiBAgAABAgQIECBAgAABAgQIECBAoBoBgW81W6VQAgQIECBAgAABAgQIECBAgAABAgQIlAUEvmUfswQIECBAgAABAgQIECBAgAABAgQIEKhGQOBbzVYplAABAgQIECBAgAABAgQIECBAgAABAmUBgW/ZxywBAgQIECBAgAABAgQIECBAgAABAgSqERD4VrNVCiVAgAABAgQIECBAgAABAgQIECBAgEBZQOBb9jFLgAABAgQIECBAgAABAgQIECBAgACBagQEvtVslUIJECBAgAABAgQIECBAgAABAgQIECBQFhD4ln3MEiBAgAABAgQIECBAgAABAgQIECBAoBoBgW81W6VQAgQIECBAgAABAgQIECBAgAABAgQIlAUEvmUfswQIECBAgAABAgQIECBAgAABAgQIEKhGQOBbzVYplAABAgQIECBAgAABAgQIECBAgAABAmUBgW/ZxywBAgQIECBAgAABAgQIECBAgAABAgSqERD4VrNVCiVAgAABAgQIECBAgAABAgQIECBAgEBZQOBb9jFLgAABAgQIECBAgAABAgQIECBAgACBagQEvtVslUIJECBAgAABAgQIECBAgAABAgQIECBQFvgXXcFT6coi5PgAAAAASUVORK5CYII="
}
},
"cell_type": "markdown",
"metadata": {},
"source": [
"# Collaborative Filtering \n",
"\n",
"Andrew asks us to implement the cost function and gradient functions for Collaborative Filtering.\n",
"\n",
"The cost function is defined as follows:\n",
"\n",
"![image.png](attachment:image.png)\n",
"\n",
"I think the syntax is a bit esoteric. But a few things to keep in mind here:"
]
},
{
"attachments": {
"image.png": {
"image/png": 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