{ "cells": [ { "cell_type": "markdown", "id": "66e6a8d2-74ed-4417-8cc2-329889cf77ce", "metadata": {}, "source": [ "# 3 Clustering" ] }, { "cell_type": "markdown", "id": "e4194aca-773a-47f8-8456-c4d437abd5fa", "metadata": {}, "source": [ "\n", "Clustering is a machine learning method that groups a collection of objects into clusters, with each cluster containing objects that are highly similar to each other and distinct from those in other clusters. \n" ] }, { "cell_type": "markdown", "id": "76488c51-b50e-4f16-b724-cdbf35b637b3", "metadata": {}, "source": [ "## 3.1 Gaussian Mixture Model (GMM) \n", "\n", "[A Gaussian Mixture Model (GMM)](https://scikit-learn.org/stable/modules/generated/sklearn.mixture.GaussianMixture.html) is a probabilistic model that assumes that the data is generated from a mixture of several Gaussian distributions with unknown parameters. The equation for a GMM is a weighted sum of multiple Gaussian (Normal) distributions. \n", "The model is defined as:\n", "\n", "$p(x) = \\sum_{i=1}^{K} w_i \\mathcal{N}({x}|\\mu_i, \\sigma_i)$\n", "\n", "- $ p(x)$ overall probability\n", "- $ {x} $ is the data point.\n", "- $ K $ is the totla number of Gaussians (a notmal dictibution as a cluster).\n", "- $ w_i $ are the weights (size) of the $i$th Gaussian (summing to 1).\n", "- $ \\mathcal{N}({x}|\\mu_i, \\sigma_i) $ is the probability of the $i$th Gaussian.\n", "- $\\mu_i$ is the mean of the $i$th Gaussian.\n", "- $\\sigma_i$ is the variance of the $i$th Gaussian.\n", " " ] }, { "cell_type": "code", "execution_count": 8, "id": "b4b89a43-4e5d-405b-ac13-91f2eb2a6a92", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import pandas as pd\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "markdown", "id": "2b3cbcfb-6bd2-4438-be02-1cc1d1fa2f56", "metadata": {}, "source": [ "__You can download the sample data from [here](https://hullacuk-my.sharepoint.com/:x:/g/personal/tongxin_chen_hull_ac_uk/EX-R87tgUxlCupINUCh4dgYBAB-1TH765Eh0ujdkIO89NQ?e=bnYbMe).__" ] }, { "cell_type": "code", "execution_count": 9, "id": "bcc48218-0ad0-4ed7-b9c6-df0164808c17", "metadata": {}, "outputs": [], "source": [ "# Read the data\n", "df = pd.read_csv('cluster_data.csv')" ] }, { "cell_type": "code", "execution_count": 10, "id": "166f6610-630a-4f61-89d5-c1029cc1c6e0", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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Feature1Feature2
04.8627751.011907
15.7439380.472795
210.177229-1.014992
3-0.4050461.447232
41.2603489.982292
.........
4959.44708810.323605
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500 rows × 2 columns

\n", "
" ], "text/plain": [ " Feature1 Feature2\n", "0 4.862775 1.011907\n", "1 5.743938 0.472795\n", "2 10.177229 -1.014992\n", "3 -0.405046 1.447232\n", "4 1.260348 9.982292\n", ".. ... ...\n", "495 9.447088 10.323605\n", "496 5.335410 0.273029\n", "497 5.668767 2.307601\n", "498 8.489488 10.133309\n", "499 6.282093 -0.258828\n", "\n", "[500 rows x 2 columns]" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df" ] }, { "cell_type": "markdown", "id": "a2f18ef1-8f7f-4d25-aa99-3c37731d514c", "metadata": {}, "source": [ "__This noteboook use [seaborn](https://seaborn.pydata.org/index.html) (a Python data visualization library based on matplotlib) to visulise the clustering data.__" ] }, { "cell_type": "code", "execution_count": 13, "id": "fd1d98d1-a488-421f-8f18-ccec0afa6dce", "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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6+vrQXTAREREREYU9zQRMHR0duOiii7BixYp+t3V2dqKqqgoPPvggqqqq8M477+DAgQOYNWtWCK6UiIiIiIgihUEQBCHUF9GXwWDA+vXrUVhY6PE+FRUVmDRpEg4fPoxhw4ZJetzW1laYTCZYLBYWriUiIiIiimBSY4PoIF6ToiwWCwwGA1JTUz3ex2q1wmq1Ov67tbU1CFdGREREREThQjNb8uTo7u7GvffeixtvvNFrNPjEE0/AZDI5/mVnZwfxKomIiIiISO90FzDZbDZcd911EAQBzz77rNf73n///bBYLI5/tbW1QbpKIiIiIiIKB7rakicGS4cPH8a2bdt8nkOKi4tDXFxckK6OiIiIiIjCjW4CJjFYOnjwIP71r38hPT091JdERERERERhTjMBU3t7O7755hvHfx86dAi7du1CWloahg4dimuvvRZVVVV499130dvbi6NHjwIA0tLSEBsbG6rLJiIiIiKiMKaZtOIff/wxfvrTn/b7eVFRER5++GGMGDHC7e/961//wiWXXCLpOZhWnIiIiIiIAB2mFb/kkkvgLXbTSFxHREREREQRRHdZ8oiIiIiIiIKFARMREREREZEHDJiIiIiIiIg80MwZJiIiIiJSXo/djpZOm+O/UxNjEG3knDmRVAyYiIiIiMJUc4cV66rqUFp2CA2t3RiaEo+SqSNwzXgz0pLiQn15IcMgkuTQTFrxYGBacSIiIooUzR1WLFj5GfbWtfa7bazZhFUl+UhPjrygiUEkiaTGBgyliYiIiMJMj92OdVV1boMlANhTZ8H66jr02u1BvjL5eux2NLZbHf96ArhmMYhctmUf6i3dEASg3tKNZVv2oWhlBZrarQpeOYULBkxEREREYaal04bSskNe71NaXoOTTtvStKi5w4rS8hrMWl6G/GVbMWt5GUrLa9DcIT+wCacgkoKLARMRERFRGKq3dPu4vQuGIF2LP5ReDQqXIJKCjwETERERURjKNMX7uD0BWj3IrtZqkN6DSAoNBkxEREREYSY1MQYlU0d4vU9JQQ4GJsYE6YrkUWs1SM9BJIUOAyYiIiKiMBNtNOKa8WaMNZvc3j7WbMLc8VmI0mgqbbtdUHw1SO9BJIWONr8lRERERBSQtKQ4rCrJx5KZo2FOTYDBAJhTE7Bk5misXjgJaUmxob5Et5o7rPj2RLviq0F6DyIpdFiHiYiIiCiM9drtONlpgwGAAGBgYoxmg4JTPb1YtaMGe+tacU5GEp7aetDjfZfMHI2SghzZf0tTuxXrq+tQWl6DeksXMk0JKCnIwdzxWZoNIkkdUmOD6CBeExEREREFWZTRiEE6KFDb3GHFsVYrVpXX4ES7FW/dNgVb9x3HnjpLv/sGshqUnhyHkoIcFOaZdRFEUujxk0FEREREISWmELfaelFv6YatV8CiNVV4dHYu7rp8pMuWwrsuH4mVxfkBrQaJQWR6chwGJccxWCKvuMIUwXrsdrQ4ZZdJTYxBNBsMIiIiCiLnFOLNnTZkmuJRb+lGXUsX5j23EzNyh2Dp7FykJ8WiqeMUth84AQNzf1MQMWCKUM0dVqyrqkNp2SE0tHZjaEo8SqaOwDXjzUhLUnbZnoEZEREReeKcQnxDdR2uz892nF2y9QrYvLsBm3c3OO6/ZOZoZrKjoGLAFIHEZW/nYnBi5exNu+qxqiQf6QrtdQ5mYEZERET6JKYQf39vg2pnl4j8xU9bhFGrcrY7YmC2bMs+1Fu6IQhnArOilRVoarcG/BxERESkf2IKcW9nlx7QeDp0Cl8MmCKMWpWz+wpmYEZERET61begrHh26ZtjbVg6Oxfrb5+CF4smonjycAZLFBIMmCKQ0pWz3QlWYEZERET65q6grHh26ZbVlXhw45c4KyUeMdFRIbxKimQMmCKQ0pWzPQlGYEZERET6l5YUh1Ul+Vgyc7TLNrwl3IZHGsCkDxFGXPZetmWfx/uUFOQokn1GTAvq+XZlAjPSD2ZMJCIiT1hQlrSKAVOEEZe9N+2qVzX7TDADM9IHZkwkIiJfxIKyRFpiEAQhYib5W1tbYTKZYLFYkJKSEurLCammdivWV9ehtLwG9ZYuZJoSUFKQg7njsxRb9m7usKJoZYXHwCyQJXauVOiLu1T2orFmk6Kp7ImISFmR2udG6t8dSaTGBgyYIliv3Y6TnTZVl73VCMy4UqEvPXY7SstrvK42Lpk5GiUFOdx2QUTkBzUH9nrtcwN9TfT6d5M8DJjcYMAUGkoGZlyp0J/GditmLS/zep7NnJqAjYsLuA2DiEgmNQf2wehz1Qj2An1NONaIHFJjA55hItUptR9Zam0nrlRoDzMmEhG5F0jA4G5gLxaI37SrPqCBfTD6XDWCvUBfE441yB2+0zrTY7ejsd3q+NcTQYVfWdtJv4KVyp6ISE+aO6woLa/BrOVlyF+2FbOWl6G0vAbNHVafv6t2gXi1+1wxsFm2ZR/qLd0QhDOBTdHKCjS1+34N+lLiNeFYg9xhwKQjgTSs4YIrFfrTt4K7O8yYSESRJtCAIRgDe7X6XLWCPaVek2CPNSJ5MlwvGDDphBozMXrElQr9cVfB3ZlSqeyJiPRCqYBB7YG9Wn2umsGeEq9JMMcanAzXB45QdEDtZXe94EqFfrGCOxHRGUoFDGoO7NXuc9UK9gJ9TYI51uBkuH4wYNIB7qc9jSsV+iZWcN+4uACVD0zHxsUFKCnIYbBERBEp0IBB7YG92n2uGsGeEq9JsMYa3ibDY6OMGDEoCcfbuE1PK5glTyd4duc0caVC7aK7pA5WcCciOi3TFO+1b/cVMIgD+0276j0WiJ89zhzQ1jG1+lwxsPFWn8+fYE/KayIl2ElJiMELCyagy2bHkZOdeKvyCL6obcHNk4crNtbwNBluTk3Aivnjsf3AcdyyqoI1oDSCdZh0gHVs+gtG0V0iIiI1KFnQ212B+Ovzs/GTkRlYuulL/OzCoQEPtNXoc0+0WbFwVYXHwGZlcT4yBvh3ze5eE6lBnrtU58UFOZiTl4W0JOXGGo3tVkx8bKvLz2KjjFh722Qs2bCHNaCChIVr3dBrwKRkw0oUDtSsak9EFAzNHVYUrfQcMMg539lrt+NE2yk0dVhx1NKNDdV1+ODLo7D1Co7H09JAu8dux1uVRzB6yABsP9iItRW1jsDmuvxsTBuZgf0NrZg30f+tb/4EecEsWOtuMnzWRZk4JyMJT2096PH3ON5TFgvXhhGllpiVwIEqhZqaVe2JiIJFye1uAoDNu+s9TqxqrdhqS6cNyz86iBPtVszIHYKls3ORnhSLpo5T2FBdh2e2HcTgAfGYfsFZfu+c8bUFvO94JiU+OqgFa91tSyzMM2PJ+j1ef6+0vAaFeeaI2VGkFQyYdEILZ3c4UKVQU7OqPRFRsInJcArzzAFtd5OaHEpLA21xZWXz7gZs3t3g5nb1zma7G8+8VJwf1NfQ3WR4WmIMz6xrFAMmHVGqYfUHB6oUCCVWJqWm19fKDCoRkRRKJcPR20A70KQX/vI0nrHaehV/DX31fX0nw5s7bSF7Xcg7Bkw6E4osYxyoUiCUWpnU4wwqEVGw6GmgrVaWPF+cxzOxUUbMGDMEhXlmpCXGICUhRtHXUGrf5zwZHm00oLggB4+/t9/j47LeZGhwdEs+sQ4U+Uvponx6m0ElIgoGvRV2D3ZdxR67HY3tVjS3n8KoIQNQNHk43rptMs7JSMKS9Xsw59kdWFV+CL/40XCvjyP1NfTV951o63apqyROhqcmxuLaCVmsN6lBXGEiSThQJbnUWJnU0wwqEVGwaCk5lFTBOpvtbqWnaEoOYqIMWFt5BPWWbsRGGdHa3YNf/iQT087PwLFWKzZU1+H9vQ0umQalvIZS+r7XP6vFBUNTMH54ar+dFlo4s079Ma04+cQ6UOoI94yDSn9umF6fiMi7QOoPhYq/NZ6k9KG+0oQ/OjsXv32zGn+94XSh2Dcrah1B1Q2TsvGTkYOxdPNX+PnYIZJfQ6l939LZuXh660GPZ8BZbzI4mFacFBOqvcbhLFIyDiq5MqnHGVQiIqV5CxRCmRzKX/6czZbSh0pZ6Sn7pgkvLMjH3Wt39UsC8eSHB/HhV8exsngi0pJiZb2GUvq+9KRYrzstQnFmnTxjwEQ+caCqrEjKOKj0FjpuVSCiSCYlUAjWQDtUuySk9qFSzl+faOvGtv3HvQZVG3fVo6QgR9Y1Sun7mjpOAWCyIr1gwESScKCqjEjKOKjWyqQeZ1CJSDv0uh1aS5NtodolIacPBXyv9Ew7f7DihWKl9H3X5WdjQ3XdD9fIM+B6wICJJONANXBSZrxe/eQwrp2QhR77mbUXvXToztRcmeRWBSIC5Ac/et0OraXJtlAGbnLKSwC+V3oykuMUT2olpe+bNjIDz2w7+MM1MlmRHjBgIlk4UA2cr4OgT9+Qh7WVtVhVXqOrDt0drkwSkVrkBj9aWqGRSyt16LQQuEkNcEwSVnqMRnWyr3rq+67Lz8a0kRm4841q/GzMUBTmmTFiUBIEQUCP3a67idFIwoCJKMg8Nc6xUUasmD8eSzbs0WWH7glXJolIaXKDHy0M9KXwtmKmhfIeWgjcxD60b+HZ5k4bNlTX4YvaFgiQttIzKCkWN0wahic//Nrj8/mb1Ers+666MBNNHVYctXRjQ3Ud3qmqdWTlW7J+j+4nRiMFRyykW2IhOvGfcxE4rfJWXHDGmCHYfsD74dP11XXo1cHf2Ze4MpmeHIdByXEBD0j0+N4TkTKkBj/ObaUeCrA3d1hRWl6DWcvLkL9sK2YtL0NpeQ2aO6wwGk4HCt4Ea2uXlMDNbu9/JUq022Ifak5NwNo+hWeXrN+DczKS8PItkxwBjrjSs2TmaJhTE2AwnN7JsWTmaKxeOAmDBsThxknDFC8UK/6tJzttiI4ywJyagMNNHdhTZ8Ffbzg9MfrU1oOKFHQPBPtS6bjCRJojtbaCHvehe5vxKswzK374NBzp9b0nImX4u8qhhRUaT6SsmN3y4xF49N3Ql/eQmgEuPflMKm6l2m2xDy04ZxDuWfdFv9frqa0HsXXfcZcVRl+7HDIGKLt13NPfOjfPjGvGZ+HNylpNrHSyL5WHARNpipQvsJ73oQOe9zaPGJSk6Q5dC/T+3hORMvxpK9U4q6IEqStm8yZmYUN1aMt7pCbGoLggB4+/t9/jfa7Lz8brn36P30w/D4OS4xRvt1MSYvD250dkBR2+zl8rtXXc19/6woIJWFVe4/UxgjExyr5UPm7JI80Qv8DLtuzzuEztz1YMLRIb542LC1D5wHRsXFyA5LgozWy50KJwee+JKHBy20pv26FFoSrALnXFzNYreN1eFowkOtFGI+bkZXndwjZtZAbeqPweBvjfbnvbKtbSaZMUdLjbXuntcQPdOi7lb+2y2UM+Mcq+1D9cYSJNkPoFnj0uM+QHTuXwtr2w74xXj92uSt2icKGFw8ZEFHr+1HjTegF2qYNoLSTRiTICj88Zg20HTmBtRW2/DHCL1lQhIzkeAvxrt6XsNPEn6FB7C5qUv/XIyc6Qr3SyL/UPAybSBKlf4FkXZYZ8dkYquY2z1jt0LdDLe09E6vG3rdRymQM5g+hQl/dISYjB+uo6fHOsDUtn5yI9KRZNHaewoboOz2w7CFuvgCUzR2NgYgxOdtpktdtStooBwPC0BFyUPbBfhrz39zbA1iv0CzqCtQXN19/6VuURn1sagzExyr5UPgZMpBmSMu8IQshnZ6Twt3HWcoeuBXp474lIff62lVpYoenLnxWzUDq9Lc+MDdX1uGV1Zb/b87JTMW9CFk522mC3C3jllkl4q/KII5jpS2y3pe40WTB5OFbfcjE2Vte5pOW+Pj8bb902BYvWVLm8XsFMKe+rj/qitgUPXnUBNn/RENKJUfal8jFgIs2Q8gWOj4nSfMcSaOOsxQ5dC/Q2qCAidfnbVoZ6haYvPe4u8BSw/vrSc3HZ6LOw9vMjLrsrnIOZupYul8cS2+2TEnaavPrJYcweZ8bi16o8Zsh7YcEEDDElOF6vYG1Bk9JH3Tx5ONKSYkI6Mcq+1D8MmEgTpH6BB8RHa75jUaJx1lqHrgVqDiqkpLInIu0Jl7ZSj7sL3AWsBgBFpf13V4jBzIqb8jDvuZ2Olaa+7bavnSYXZqVifbX3DHnl3zZhYUGOy8+DsQVNTh8VyolRPQboWsCAiTRBzhdYDx0L9werQ433nrUoiEgL9Li7wDlg7bHbUVpe4zWY+ffBRszIHYKq71vcttu+dprMm5iFe9/e7fWaVpXXYE6fCclgbUGT00eFMtjXwzhKawyCIETMNsXW1laYTCZYLBakpKSE+nLIjaZ2q+QvcK/djpOdNs11LI3tVsxaXua1cTanJmDj4oKwmBkNBaXee3dnzURjzSbWoiAi1YTbyrbUvm/d7VMQHWXo126LAZe3nSbbfjcNl/5lu9frMBiAygemO9puKY+7ZOZoRYvFanV80pderlNNUmMDrjCRpsiZYdPqVgwl9weHW4eqFCXe+2AeBCYicqaFlW01+hcpuytiogxuJ6Kk7DSJjjLKXi0K5ha0vq+pSeN9tlbHUVrEgIk0R+9fYKUaZy10qOGMtSiIKBSCleLa1zWo0b8EuvUtLSkOK4sn4rXPat3WeHrpP9/h+vxsPLX1oMfHcDchGYwtaOyzwxsDJiIVBNo4a6FDjQR6PmvG1Uci/dHCyrbS/YvYFkUbDYrUGDIYDGhs63Zb4wkA3rptCrbuOy5rQrLHbocAoDDPjKsuHIr4mCj02AXFtqCJr+nXR9sxY8wQl/pQL/7nEG6ZOoJ9ts4xYCJSib8HeLXQoUYKvdai4EwmkT5JWdl+9ZPDuHZCFnrsZ1ofpSZElO5fnNuixg4r3rm9AGPNpoB2V6QmxmBYepLbGk8AsGhNFdb88mJs3XfM44Rkj92O9u4edNt6YTQY0NRxCq9/ehhvVNZiUFKco70UryWQCSjxNT3ZYcPa2yZj+4Hj/epDtVt7kBqB54PCCZM+kK5Ewqw6k0YERygOAiuBiSqI9Kux3YqJj231eLs5NQEr5o/HZ4easKq8RvEJESX7F3dtkTk1AStuysN/vmnEG5/V+r31rbnDiqKVFR4Dr9ULJ8GUEO02YUFLpxUtXT3YtKsOb3xW6xK4TDt/sKMW1FizCS8vzIcABDQB1dhuxTV/L8dfbxyPJRv2eGybVxZPRMaAeEl/vxoiYfzkDyZ9oJBS44sZSbPqet4qphd6rEXB1Uci/fO0sh0bZcSK+f0H3Upvx1aif/HUFtW1dGHeczsxI3cIXiyaiIwBp69V7tY3cVv7O9V1WOW0inR9fjZmj8uE0SC4Pe/c3GHFUUs37lm322ctqANH29Da3YNFborgyn29L8oeiO0HjnttmzfsqsfCANtmf8dWkTR+UgsDJlKcGl/MSDvTo9etYnqjt1oUTFRBpG/esqjOGDPE56BbiQkRJfoXb22RrVfA5t0NqPq+JaCdEAYD0Nxu7XeWafqT2zFqSEq/fr/HbkfV4RZ8WW/x+hpu/6EWlMFgwMZdykxA/Wra2WjuOIUNd0xBc6cNG6rr8P7eBkeBXsB9fSg5/B1bRdr4SS0MmEhRanwxI21WXcm05OSb3opFcvWRSL+8rWwX5pmxZP0er78f6ISIkv2Lmm2R2O8/u/07YPt3/W531++3dNoQF2PEmxW1Xh97bUUtls7OhcFgcHm9Y6OM/RI2bD9wHCc7bV5fbwOA8m8aXbZQXp+fjbdum+LY/gcE9nr4O7aKtPGTmvjqkGKkfjF77XZZjyt1Vv2k0zK1nokd6lizye3tWtwqpnfi1o705DgMSo7T9GubafK+B56rj0TaJq5sL5k5GubUBBgMp8/+jBiUpPqEiJL9i5ptkb/9/oC4aEmvYXpSLNISYxz3NacmYO1tk3FORhKWrN+DOc/uwJL1e5CWFAtvJ/2bO6woKv0Mj7+3H/WWbgjCme1/D27YixU35SEm6vQ75u716LHb0dhudfzrcTM+CmRs1fd1jI0yYtZFmVhZnI8Nd0zByuJ81DZ3hs34SU2aWWH697//jT//+c/4/PPP0dDQgPXr16OwsNBxuyAI+MMf/oAXXngBLS0tKCgowLPPPovzzjsvdBdNLtTcLhRps+pKbxXjYc/wwNVHotBSqi11t7ItCEJQtmMbDcDyG/Ow6Yt6vOlU66i4IAfXSOxfnNsidyszG6rrMC7bFFBb5E+/32btkfQaNnWcgsFgQKYpHo3tpzyeHRPPPa0qyXd53VN/+Lt8BTLi9r/Nuxv6tc1St9gFOrZyDgpXzB/vNotf5KR/859mAqaOjg5cdNFFWLhwIebOndvv9j/96U/429/+htWrV2PEiBF48MEHceWVV+Krr75CfHzoso6QK7UCm0g806PUVjEe9gwfekxUQRQulG5L+yYt6LHbVZ8QEbd2HTjahhm5Q1zOB31ecxJSEyeLbdHOb5vwm8vO6zcIv3HSMFx9kTmoZ61SE2Ngtdl9Fra9Lj8bG6rrkJ2WiKIpOfiyvtXn2bG1lUdQ39KJVz/93vG+X33hUJ+BjLj9r6ap06VtlrvFLpCxlZygkGeZPNNMwPSzn/0MP/vZz9zeJggCnn76aSxZsgSzZ88GALz88ss466yzsGHDBtxwww3BvFTyQo3AJpJn1d1lAZKDhz3Dj94SVRCFg2C0pWpPiPTd2rV5dwM2725wuU9acqzk8yxpSXH44zUXomRV/9flLx9+jX9+dczv18Wffj/aaMT44anITE3wWtj2slGDkRhjxNUXZcIuABdmpeJ3a3d5vZ5XPzmMpbNz8con3zve9ynnpEsKZM7JSMbqhZMcbbM/54r8HVuJr+OeIxa/E4pwh8ppuviLDx06hKNHj2L69OmOn5lMJlx88cXYuXOnx9+zWq1obW11+UfqEb+Y3sgJbMS9vS2dNhSO45keudQ6U0b9SdmHriRx9XHj4gJUPjAdGxcXoKQgh8ESkQqUakultBOezjctmTm636Bbbpuj9HngHrsdGyRkmfOnj/H3rFVaUhyGmuKw/MY83H35SJfX8IGfj8ZLxRMRG2XA982d+Mmf/4XFa6oknx1L79O+Hmu1SjrHlRQX5dI2y30fAhlbia/jjZOG+UyG4e69b+6worS8BrOWlyF/2VbMWl6G0vIaNHdYvT5WONLMCpM3R48eBQCcddZZLj8/66yzHLe588QTT+CRRx5R9droDCVnx/pufcjLSsXyG/Pw4b5jLjUZ3M2qczbkNKagDo5QbXkMdPWRiKRRoi2V00542o4t/PA4vXZgffURvwrbeqr/5HwGqafXjh673We/6c/rIqd/9nc1fWBSHFISYrBg8nBcNzEbBgNw1NKNlPho/L+XK7Gr9sz4pKq2BfsaWiWfe3K2oboON0zKxpMfet7+52kiS84Wu0DHVmlJcTgnQ5C9rY87VFzpImDy1/3334+7777b8d+tra3Izs4O4RVJp9dBvxLbhdx9SatqW3D5U9tx69Szse72KYiJMrg906O38zpy32e594+0ZBnBxg6FKDIE0pb60070nRBp7rBifXUdLh6Rjvve6V+UVWqb0zcw8JQIIJAAzPX2M6+LP/2zv2d5o4xGpCaeWY3bc8SCjw8cdwmWROur6ySfe3L2/t4GvHXbFHz4leftf54CGblb7JzHVq9+chgXZqVi3sQsZA1MREJMFFISvA/njUaDrOdkOvL+dBEwDRkyBABw7NgxDB061PHzY8eOYdy4cR5/Ly4uDnFx+hus6G3Q31cgyQq8fUltvQL+vv1bj3us9TZ4lfs++/O5iMRkGcHCDoUocvjblirRToh929mDktHe3eP3Y/U9FxQbZfSYCMDfAEwkrlrNm5iFXruAE21Wt2edpDxPoKvp0UYjxphT8NDGvW5vFwMfb+eepo3MwDPbXAMqW6+ApZu/wrO/GI91VXVY65Rx0Nsksb/nssWx1exxZqyvPoJ7394teSwg9zm5Q6U/XfTiI0aMwJAhQ/DRRx85ftba2opPP/0UkydPDuGVKU9sGJdt2eeS03/Zln0oWlmBpnZ97Bv1t66Nv3us9XZeR+777M/nQukzZeQq0uqDEUWqQNrSQNsJ576tMM/s1zkUUd9zQTPGDJGUCMBTv+npdXGuaXTv27vx2JZ9eP2zwyHtn6OjjB4DXluvgEVrqvDo7Fw80Ofs2L0zRuHRwjFYtKYKtt7+IfG08zPwv/93AN8ca8PS2bnYtGgq1t0+xeuZ0kBqYVm6bChZ1b/uk68xoj/PyR0qrjQTMLW3t2PXrl3YtWsXgNOJHnbt2oXvv/8eBoMBd955Jx577DFs2rQJe/bswYIFC5CZmelSq0nv9DboV4s/X1I9DV7lvs/+fi5YAFd97FCIwl+gbWkg7YRz3+ZcaNWfxwJck0rMm5ilaAAGuK5aPbX1IOot3SjMM+ONz3w/z4m2U6omzvGWoKGupQu/fWMX5k3Ickmmc9PF2Xhk05eoa+nq9zviytOWPaezDd6yuhKfHmpCxoBYn/2q1OQezgIdI8p9ThZJd6WZLXmVlZX46U9/6vhv8exRUVERVq1ahXvuuQcdHR34f//v/6GlpQVTp07FBx98EFY1mLgEetqCHw3DJaPOcimA9/7eBsfsjqcvqV4Gr3Lf50A+F0xBrS5ueSSKDIG0pYG2E+LvNnfaFGlzxK1dTe2nFAvAxNdlwvCB+PfXrqtWUgO9E23dmLWi3GWLWUpCjCLnuaVsSbt58nAMiI/uF+y8WDSx3/t+XX42po3McFl5kjsJKff4ghJjRKnPGcnlXDzRTMB0ySWXeC2YZjAYsHTpUixdujSIVxV8ehn0q8UAYGhqQr8q1G/dNgWL1lShrqXL45dUT4NXue9zIJ8LpQrgkit2KESRxZ+2VIl2QuzbNkhITlBckINoo8Fnlrsoo1F2IgBPnF+Xnl475v59h8vtUgO9421WxxazVeU1KDhnEN7+3L9sgH0Fkmmu7/tu6xXwZZ0Fv329GvWWLphT/Z+ElHs+S4kxopTnZJH0/iLnL9UJPS+BBlqLprnDiqLSz/DHDw647M19autBPLhhL1bclIe87FS3X1K9ndeR+z4H+rnw90wZecYtj0SRR25bGmg74dy3vb+3AdPOH+z1sfJz0iTXylGy3xRfF3dnhcRAzxvnLHTitr571n0h+6yON/5sg+v796Unx2GIKR6XjMrAujumBL0OXjDHiIG8XuFIMytMpO8Z60Az+0nZm7vzu2asWpgPU0L/L6meZkPkvs96/lyEO255JCJfAmkn+vZti9ZUYcVNedh+sNElK5vzFrG6li5J2efU6jf7ribJzUInNRmFPxlIfa0SSi3dEYo6eKEYC3CHyhkGwds+uDDT2toKk8kEi8WClJSUUF+OW80dVhStrPDYqGgxqneXzls01mySlM67sd2KWcvLvC43m1MTsHFxgddGqqnd2q9TKi7IQeE4M6KMQEqCNupZyX2f9fi5iCS9djtOdtoivkMhIs8CaSec+7YT7d24YeIw3HjxMKQlxeLro21YW1mLD7482i+T25KZo30GFu76TX8nfXrsdpSW1/Qb1JtTEyQFegCwsjgfS9bvCXg8ILduYXOHFVWHWxAXY8SAuGi0WXtgtdkxfniqZkq6cCygPKmxAQMmDVKy8VKbp8bRmZQGu7HdiomPbfX6XAYDUPnAdJ/Bl9gp2QUBTe2n8Nqnh/FmZS0GJcVpqp6V3PdZT58LIiJSVt+AK9powKzlZfj+ZP8MbiIpgYW7xw5k0sfToD4myoBbp56NmycPR2O7FUlx0SgtP4Q3KmpdAr0Nd0xBYZ9zUH35Gg/I3fXS0mlFfUs3PvzqGN6sqHU5Q335BUMw1BSHgSqNG+QGdhwLKIsBkxt6CZgA/cxYK7Ey1GO3o7HNirl/3xHwjJJIiVWvYJD6PosNarTRgG6bHdFRp491avVzQURE6lJyolFp3gb1dkHAxMe2YtZFmTgnI6lfEotAV5jk9v89djuOnOzC4teqPP7O8hvzkJ2WoHh/6+9xBr2MEfVAamzAM0waFYr9sf4KJGuL2FjUn+xE0ZQcPPH+fo+PUyxxb64SldWDRcr77K1BDfX1ExFR6Gg1O6y3sy+N7VZkmuI9nm2Skg3Q01kdf/r/9u4ebNrl/Xc2fVGPBZOHIzVRuRUcd4GdmNjC1/kzPY0RwwVHWxEs0Kx2In+ztoiNxbIt+9DS1YMrcod4zf5z+eizYLf7bvr1VsTW23vg/BoplSmIiIj0T+vZYT1lFBSv29YrYNGaKjw6Oxd3XT7SkYnti9oWzB7nX2ZBf/r/bluvz8K6b1bUottmV2zcFGgRWgo+rjBFqECz2on8zdrSt7G4+qJM/O7NXXh0dq7HQ6F3r/0Cf58/HkNMUT6vSw/1rHy9B3paKSMiouDSU3ZYZ32ve95zOzEjdwiWzs5FelIsOm29MBqAxwrH4OOvT7iMB6Sc1ZHb/xsNBmm/YzgdbAU6bgKUKUJLwcWAKQIFsgzcl78Ndt/GIi0xBlW1Lf0azqaOU9hQXYdnth1Ej12AUWKUo9VtCiIp74EAsEElIiKP9FraoO91v7unAVXftzgmSG984VMcb+t2GQ+cZYrH4AG+a1/J7f8NBmm/c7y122Vy2N9xk/Pve7899BO7dAYDpgijxqqFvw22c2PhXAl88+4GbN7d0O/+5tQESNiRp/m6RVLfg8I8MxtUIiLySq+1csTrnjl2KBrbrTjeZnVMkIpZ88TxgDk1Aetun+LzbxL7/z9/cAAzxgxBYZ4ZaYkxaO60YUN1Hd7f29Cv/x+YFIvighw8/p6XM9RTcvBi2Xdub/N3t4fWJ3bJFQOmCKPWMrA/DbZzYyHlkOcvfjQc6Um+g5xgb1OQmxJU6ntw1YVD2aASEUUoOX2LXpMARBmNSIiNwr8OHMeTH3ru/6/Pz0Z8jO8+O9poxLwJZhScMwgffnUUS9bvcUkRvnHRVGSmxrv0/9FGI66dkIXNXzR4HDNMPW8Qnt76NWZdlOk2CJM7btL6xC71p+3pB1KFWqsWng54utP3sOr7exsw7fzBXg95zpuYhZho3+eXgDOrXktmjnYcJDWnJmDJzNFYWZwPQAjowKaoucOK0vIazFpehvxlWzFreRlWlh3CiTYrmjs8P76U9yA+JkrTB3qJiEgd7vqW0vIaNHecSfSjVAKCUEuOj8YsH0keZo/LxIB4z3P8zq+FrRe4Z90XeGrrQZdkSU9tPYh71+1Gr5utKr7GDH/Y+CU2/3oqfvWTs5GRHIvmThs+3n8M5w1Owlu3TYHBAFnjpmijEYU+/2ZmwtUS1mHSOLmrF74oUTdJKX2L23mrBH7ZqMHITI2XfbDSuVaBrVfA3joLlm7+ErUtXQEd2BSv31uth8fnjMFnNc2Yk+f6+HLeA6MBrOpNRBRBfPUtLy88fcZVicRNWuEoHLvveL/+//LRZyEzNd5jSm/nBEoTc9Jw7uAkr6tVS2aO9rh9zl19I0uXDad6BLxVWYvXP/veZcVq2vmD8bePDuKu6SMxNDVe8ripx27HW5VHMHrIAI+JrvY3tGLeRO0l7Qg3LFzrht4CJn8y2fkKsHrsdpSW13hdBvbWmCitqd2Kd6rrsOqHs0/DBibinhmjMNacAktXD463dWNDdR3+76uj2HnfZX4X31O6kK2U1/Guy0fim2NtqGnqdHl8ue8Bq3oTEUUGX/1DbJQRH979EyzyUmRVK4XZ5Wpqt2LX9y2IjTZiQHw02rp7cKrHjrzhAz32dX379kCL3nq6rqJSz+OHR2fn4tNDzVhYkCN5F4w4cXqi3YoZuafPWjknuvrgy6MYPCA+KJPXkY6Fa3XOn0x27gKs4oIczMnLQpQRSEmI0Vwa0vTkOMybkIVRZw3AgPhoR2Nx55vVjkOfwOkGzt/IXo1EF1LOIa2tqMXS2bm4ZXWly+PLfQ/0eqCXiIjk8dW3zBgzBBt9FFnVa7mJ9OQ4XDIqo98Kj6e/w13fnpYYo+ixg9PPccTr6739YCOa2qywdPdgULK0gOn0dZy+Tk+JrpjUSVv09W2KEP4UNPNU4PTx9/Zj4aoK1J3swuodp/c/e9urG4otXsnx0dh/rA2Ff9+BW1ZXYvPuBpdgCeh/VkfO3m21CtlKaZTTf3gt+z6+3PdAzvkwIiLSL299S2Ge2WeRVa0UZveHnL7OXd8uZtz1Rk6ypJZOG1aV13i9z9qKWkw7P0N2cKPkdZL6uMKkQXIz2UkJsLYdOIFvjrVhQ/WZ1SmtrFrIXXHxZ6uiGokupGSwa+o45fHxtfQeEBGRNnjrW5ReQdG7vq+FlIy7cpMlSXm9Bw+IlxXcMEue/nBkplFyGkSp28MK88wuq1NaWrWQuuLiaSVt2ZZ9KFpZgaZ2q9vHV3omp2+WP3euy8/Ghuo6r4+vpfeAiIhCy1ffovQKilZJ3UXS97WQknFX7rEDKa93dJRBVnAjThQreZ2kLr4TGiW3QQxke5hWiCsuGxcXoPKB6di4uAAlBTmOYMmfrYqAtOBG7kyOlMZu2sgMfPDlUb8en4iIIo+vvqWyphnFBTleH0Pv/Y2UlOqA+77d1itg0ZoqPDo7F3ddPjLgYwdSxg83TMruV9tJCq0djyDvuCVPg/xZqg10e1gwecvk5634nr9Fd/1NdOEr46DY2PXNYCemBF20pgq2XoEzRUREJJmnvkXMjgoIXous6rm/kZPwylPfXtfShXnP7cStU8/GutunICbK4PeWdynjhxvzh8GU4F9ww635+sG04hrVt0aRs771d+SkuN68u8FnSk2laz858+f8kaix3YqJj231eh+DAah8YLrblKpy0nPLuU6xboPdLqCp4xRe//R7vFH5PTKS45n+m4iI/OKuJpA4kA7HchP+lj0Jxmvh7jmKC3Iwd7wZ6Tqse0VnsA6TG3oKmAD5A3xvAdajhWMw7x87YOsVvNZZCiSg8SXQWkhKFN311gEpcZ1SHp+IiChQ4dbfBNLHB+O1CPQ51JyMJv+xDlMYkLNUq8T2MH9qP0mlRC0kJbLKeNvyp8R1+np8IiIiJYRjf+NvBsBgvBaBPIeak9EUHAxtNU5OFjXnpAmf3n8ZXiyaiKY2K657bgcAeD1I6G9CBamUqIUUjKwyatVsIiIiijRyaiYC4VmbyN/svqQtXGEKM84zIOnJsfjN9PPw2+nn+Vw+9jehghxK1I7wdRhWif3KrHFBREQUGLmrKuFYm0iJ3TWkDQyYwpjc5WO1AwUpmfykzBypnVVGqeskIiKKRP5s8Rd3kZzsOIWJOWlIS4xBc6cNG6rr8P7eBowakqK7DIDBmIym4NDPp45Up+ZSuNK1kNQq+KpGzSYiIqJIEegW/9TEGCxZvwdznt2BJev34NzBSdh69zS8cos+axOpMRktd6sjBY4BEwFQP1DQS1VrvVynv9jIEhGRmvw9CyyuSj3+3n6Xsz5PfngQi1+rRq9dn3s7lJ6MllLYl3298rgljwBIK85WOM4cUKAQjPNHStDLdcrFLD1ERBQMcldVwvWsj9LnsnxtdXx5YT4EgH29CliHiVycaOvGGxW1eOOz2n6pyf/20UH8+doL/U4tLtJL7Qi9XKcUgdbAIiIiksKfekpK1FnUKl91Mj1lL+7LV2Hf2CgjPrz7J1j0WhX7ehmkxgb6HP2RKnrsdmz6oh5fH23D0tm5WH/7FCydnYtvjrVh3j92YNv+4wGlFhepdf5IaXq5Tl/UThlPREQk8neLf7hmqBV3rSyZORrm1AQYDKeDP2+lXvrqsdvR2GbFj0akYWVxPmZdlImYKNdXY8aYIdi4i329WrgljxxaOm146T+HUG/pxubdDW7vw2wu+sMsPUREFCxStvi7OwsczhlqA8nu6247/fX52XjrtilYtKYKdS1dAIDCPDOWrN/j9bHY1/tPn1PmpJpwneGJdHxfiYgoWOSuqkRChlp/dq14Knr71NaDeHDDXqy4Kc+x0pSWGMO+XkVcYSIX4TzDE8n4vhIRUTDJWVXxd1UqnEnZTr/9YCNm5A7B5t0NaO60sa9XUeR88sinSJjhiUR8X4mIKBTkrKoocdYnnEjZTr+2ohaFeWYAQGVNM4oLcrzen329/7jCRA6c4QlPfF+JiEgPAjnrE46kbLEbPCAeS2aOxtzxWQAEbP6igX29CphWnPppareGXQ0i4vtKRETq6LHb0eJUiDY1MQbRHJgHRGqq9XW3T0HGgFhHIMS+Xh6psQEDJnIrnGoQ0Rl8X4mISEksiq4OX3WXAGDJzNFui/myr5eOAZMbDJiIiIiIlMGi6OpSqugtecbCtaQJPXY7Gtutjn89LJhGRESkeyyKrj4mwtAOJn0g1XCZnoiIKDyxKHpwMBGGNjBgIlW4W6avt3Rj2ZZ92LSrnsv0REREOsdCqcEhpmen0GF4SorjMj0REVH4yzTF+7g9uIVSeQyA1MKAiRQndZn+pFMKUiIiItIPrRVFb+6worS8BrOWlyF/2VbMWl6G0vIaNHdYg/L8FN4YMJEquExPREQUvsSi6GPNJre3B7NQqngMYNmWfai3dEMQzhwDKFpZgaZ2Bk0UGAZMpAqtLdMTERGRsrSQxY3HACgYmPSBFCcu03srthbMZXoiIiJSR6izuDFbHwUDV5hIcVpapiciIiJ1iVnc0pPjMCg5Luj9O48BkNo4YiVVaGGZnoiIiMIfjwGQ2rglj1QT6mV6IiIiCm88BkDBwJErqSrUy/REREQUvngMgIKBK0xEREREpFviMYD11XUoLa9BvaULmaYElBTkYO74LB4DoIAxYCIiIiIiXeMxAFITAyYiIiIi0j3xGACR0hh2ExERERERecAVJiIiIiLSjR67HS2dNsd/pybGIJpb70hFDJhINjZUREREFArNHVasq6pDadkhNLR2Y2hKPEqmjsA1481IS+J2PFKHQRCEiKnl1draCpPJBIvFgpSUlFBfji6xoSIiIqJQaO6wYsHKz7C3rrXfbWPNJqwqyUc6zzCRDFJjAy4LkGRiQ7Vsyz7UW7ohCEC9pRvLtuxD0coKNLVbQ32JREREFIZ67Hasq6pzGywBwJ46C9ZX16HXbg/ylVEkYMBEkrChIiIiolBp6bShtOyQ1/uUltfgpNORASKlMGAiSdhQERERUSjVW7p93N4FQ5CuhSILAyaSjA0VERERhUqmKd7H7QmImIP5FFQMmEgyNlREREQUCqmJMSiZOsLrfUoKcjAwMSZIV0SRhAETScKGioiIiEIl2mjENePNGGs2ub19rNmEueOzEKWzMic9djsa262Ofz08C65JrMNEkogN1aZd9dhTZ+l3u14bKiIiItKHtKQ4rCrJx/rqOpSW16De0oVMUwJKCnIwd3wW0pJiQ32JsrBUi36wDhPJ0tRuDZuGioiIiPSn127HyU4bDAAEAAMTY3Q3YcuaUtogNTbgChPJkp4ch5KCHBTmmXXdUBEREZE+RRmNGKTjYEJqqZaSghyOrzSC7wLJJjZU6clxGJQcxy8zERERkUQs1aI/HOkSEREREQURS7XoCwMmIiIiIqIgYqkWfdFNwNTb24sHH3wQI0aMQEJCAs455xw8+uijiKCcFURERESkcyzVoj+6Sfrwxz/+Ec8++yxWr16N3NxcVFZWoqSkBCaTCb/5zW9CfXlERERERD6xVIv+6CZg2rFjB2bPno2ZM2cCAHJycvD666/js88+C/GVERERERFJF241pcKdbgKmKVOm4Pnnn8fXX3+NkSNH4osvvkBZWRmefPJJj79jtVphtVod/93a6j59IxERERFRMLFUi37oJmC677770NrailGjRiEqKgq9vb1YtmwZ5s+f7/F3nnjiCTzyyCNBvEoiIiIiImn0XlMqUugmhF27di3WrFmD1157DVVVVVi9ejX+93//F6tXr/b4O/fffz8sFovjX21tbRCvmIiIiIiI9M4g6CTNXHZ2Nu677z4sWrTI8bPHHnsMr776Kvbv3y/pMVpbW2EymWCxWJCSkqLWpRIRERERkcZJjQ10s8LU2dkJY589nVFRUbDb7SG6IiIiIiIiCne6OcN09dVXY9myZRg2bBhyc3NRXV2NJ598EgsXLgz1pRERERERUZjSzZa8trY2PPjgg1i/fj2OHz+OzMxM3HjjjXjooYcQGyst9SK35BERERERESA9NtBNwKQEBkxERERERASE4RkmIiIiIiKiYGPARERERERE5AEDJiIiIiIiIg8YMBEREREREXnAgImIiIiIiMgDBkxEREREREQeMGAiIiIiIiLygAETERERERGRBwyYiIiIiIiIPGDARERERERE5AEDJiIiIiIiIg8YMBEREREREXnAgImIiIiIiMgDBkxEREREREQeRIf6AoiI9KzHbkdLp83x36mJMYg2ci6KiIgoXDBgIiLyU3OHFeuq6lBadggNrd0YmhKPkqkjcM14M9KS4kJ9eURERKQAgyAIQqgvIlhaW1thMplgsViQkpIS6sshIh1r7rBiwcrPsLeutd9tY80mrCrJR3oygyYiIiKtkhobcN8IEZFMPXY71lXVuQ2WAGBPnQXrq+vQa7cH+cqIiIhIaQyYiIhkaum0obTskNf7lJbX4KTT2SYiIiLSJwZMRER+qLd0+7i9C4YgXQsRERGphwETEZEfMk3xPm5PQMQcECUiIgpjDJiIiGRKTYxBydQRXu9TUpCDgYkxQboiIiIiUgsDJiIimaKNRlwz3oyxZpPb28eaTZg7PgtRrMdERESke6zDRETkh7SkOKwqycf66jqUlteg3tKFTFMCSgpyMHd8FtKSYkN9iURERKQABkxERH5KT45DSUEOCvPMMAAQAAxMjOHKEhERURhhwEREFIAooxGDWKCWiIgobHEalIiIiIiIyAMGTERERERERB4wYCIiIiIiIvKAARMREREREZEHDJiIiIiIiIg8YMBERERERETkAQMmIiIiIiIiDxgwERERERERecCAiYiIiIiIyAMGTERERERERB4wYCIiIiIiIvKAARMREREREZEHDJiIiIiIiIg8YMBERERERETkAQMmIiIiIiIiDxgwERERERERecCAiYiIiIiIyAMGTERERERERB4wYCIiIiIiIvKAARMREREREZEH0aG+ACIiIqJI1mO3o6XT5vjv1MQYRBs5px1u+D7rFwMmIiIiUgwHhfI0d1ixrqoOpWWH0NDajaEp8SiZOgLXjDcjLSku1JdHCuH7rG8GQRCEUF9EsLS2tsJkMsFisSAlJSXUl0NERBRWOCiUp7nDigUrP8PeutZ+t401m7CqJB/pyXzd9I7vs3ZJjQ045UNEREQBEweFy7bsQ72lG4IA1Fu6sWzLPhStrEBTuzXUl6gpPXY71lXVuR1EA8CeOgvWV9eh124P8pWRkvg+hwcGTERERBQQDgrla+m0obTskNf7lJbX4KTT9kbSH77P4YEBExEREQWEg0L/1Fu6fdzeBUOQroXUw/dZ/xgwERERUcA4KJQv0xTv4/YERMxB8zDG91n/GDARERFRwDgolCc1MQYlU0d4vU9JQQ4GJsYE6YpIDXyfwwMDJiIiIgoIB4XyRRuNuGa8GWPNJre3jzWbMHd8FqKYkl3X+D6HB747REREFBAOCv2TlhSHVSX5WDJzNMypCTAYAHNqApbMHI3VCychLSk21JdICuD7rH+sw0RERESKaGq3Yn11HUrLa1Bv6UKmKQElBTmYOz6Lg0Iveu12nOy0wQBAADAwMYbBZRji+6w9UmMDBkxERESkGA4KiUgvpMYG0UG8JiIiIgpzUUYjBiXHhfoyiIgUwykfIiIiIiIiDxgwERERERERecCAiYiIiIiIyAMGTERERERERB4wYCIiIiIiIvKAARMREREREZEHTCtOREQkU4/djpZOm+O/UxNjEM1aQ0REYYkBExERkQzNHVasq6pDadkhNLR2Y2hKPEqmjsA1481IS/Kv/hADMCIi7TIIgiCE+iKCRWo1XyIiIneaO6xYsPIz7K1r7XfbWLMJq0rykS6zaKsaARgREfkmNTbgChMREZEEPXY71lXVuQ2WAGBPnQXrq+tQUpCDKA+rQ31XkmKMBixcVYFdtRbHz+ot3Vi2ZR827ar3KwALBFe6iIj6Y8BEREQkQUunDaVlh7zep7S8BoV5ZgxyE+S4W0m6efJwPDxrDBatqUJdS5fL/aUEYEriShcRkXu6mjaqq6vDL37xC6SnpyMhIQFjx45FZWVlqC+LiIgiRL2l28ftXTC4+bm4lW/Zln2ot3RDEE4/1h8/OIAHN+zFipvyEBPV/zdLy2vQ3HEKje1Wx78eu12hv8b39S3bsg9FKyvQ1G5V/DmJiPRCNwHTyZMnUVBQgJiYGLz//vv46quv8Je//AUDBw4M9aUREVGEyDTF+7g9AX0PBkvZyrf9YCNm5A7pd1u9pQvt1l7MWl6G/GVbMWt52Q9BlHIBjNSthr0qBGpERHqgm4Dpj3/8I7Kzs1FaWopJkyZhxIgRuOKKK3DOOeeE+tKIiCgCpCbGoGTqCK/3KSnIwcDEGJefSdnKt7aiFoV55n4/zzQl4LsT7aqu+kjdanjS6WwTEVEk0U3AtGnTJkycOBHz5s3D4MGDkZeXhxdeeMHr71itVrS2trr8IyIi8ke00Yhrxpsx1mxye/tYswlzx2e5PW8kZStfelJsv59fl5+NDdV1/X6u9KqPv1sNiYgigW4Cpu+++w7PPvsszjvvPPzf//0fbr/9dvzmN7/B6tWrPf7OE088AZPJ5PiXnZ0dxCsmIqJwk5YUh1Ul+VgyczTMqQkwGABzagKWzByN1QsnIc1N0ANI28rX1HHK5WdjzSZMG5mBD7486vZ3lFz18WerIRFRpNBNHabY2FhMnDgRO3bscPzsN7/5DSoqKrBz5063v2O1WmG1ntmy0NraiuzsbNZhIiKigPTa7TjZaYMBgABgYGKM11TipeU1WLZln8fHu3fGKDS0dOGVTw8j05SA4oIc5Oekuc2eJzIYgMoHpgecdlzK9S2ZOTpo2fqIiIIl7OowDR06FBdccIHLz0aPHo1169Z5/J24uDjExTEVKhERKSvKaHSbOtwdcSvfpl312FNn6Xf7WLMJ1+VnQRCA304/DwKAaKMBs5aXeQyWAOVWfaRcn6ethkREkUA3rV9BQQEOHDjg8rOvv/4aw4cPD9EVERERSeNrK196UhwGJcchPfn0/ybHR+PmKTleH9Ndggm1rs/TVkMiokigmy15FRUVmDJlCh555BFcd911+Oyzz3Drrbfi+eefx/z58yU9htRlNyIiIjXI2crX3GFF0coKj6s+agQycq6PiEjvpMYGugmYAODdd9/F/fffj4MHD2LEiBG4++67ceutt0r+fQZMREQkRY/djhanhAqpiTGIDkHg0NRuxfrqOpSW16De0oVMUwJKCnIwd3wWV32IiAIUlgFToBgwERGRL80dVqyrqkNp2SE0tHZjaEo8SqaOwDXjzUhLCv65WK76qEcrgTERhQYDJjcYMBERkTfNHVYsWPkZ9tb1r9s31mzCqpL8gLPSkTZoLTAmouCTGhtwGoWIiAinVxvWVdW5DZYA5YvFKqnHbkdju9Xxr0eD16glYmC8bMs+1Fu6IQini/cu27IPRSsr0NRu9f0gRBQxGDAREREBaOm0obTskNf7KFksVinNHVaUltdg1vIy5C/bilnLy1BaXoPmDg763dFzYExEocGAiYiI6Af1lm4ft3fBEKRrkYIrJfLpNTAmotBhwERERPSDTFO8j9uVKRarBLVXSoK5zS/YWwr1FhgTUWhFh/oCiIiItCA1MQYlU0dg2ZZ9Hu+jZLHYQEldKSnMM2OQzEQVwUyIEIrkC5mmeK9Bk5YCYyIKPa4wERERAYg2GnHNeDPGmk1ubx9rNmHu+CxNpfRWY6UkmNv8QrGlUAyMvdFSYExEoaedVp+IiEglUrd8pSXFYVVJPpbMHA1zagIMBsCcmoAlM0dj9cJJmisWq/QWwmAmRAhV8gU9BsZEFFrckkdERGFN7pav9OQ4lBTkoDDPrOlisWpsIVRzm18on6svMTBeX12H0vIa1Fu6kGlKQElBDuaOz9JcYExEocWAiYiIwpa7QrTilq9Nu+o9FqKNMhoVH6QrTVwp2bSrHnvqLP1ud7dS0mO3o8Up+1tqYgyi+wSCwUyIEMrkC3oJjIko9BgwERFRWJK65aukIEe3g2Q5KyVSV9qCmRAh1MkX9BAYE1HoMWAiIqKwFMotX8EkZaVE6kpbMDMF6i0rIRFFLn1OqRERkVvBrmejdVqpt9P3fTnV06vo+ySulKQnx2FQcly/bXhSkysEMyECky8QkV5whYmIKEyEop6NUqScrfFHqLd8Aa7vi9FowD9+MQFvVZ7AKzsPB+V9krvSFsyECEy+QER6YBAEIWJqs7W2tsJkMsFisSAlJSXUl0NEpBh3W65EY80mj8kNtECtQK/HbkdpeY3XLV9LZo5W9QyT8/sSG2XE2tsmY8mGPUF9nxrbrZj42Fav9zEYgMoHprs8d6/djpOdtqAkRAjmcxERiaTGBmyNiIh0LlT1bJSgZuHSUG/56vu+zBgzBNsPHA/J++RPvSZv2/yUFsznIiKSiy0SEZHOSd1yddJpy5sWBCPQC2Uh2r7vS2GeGW9W1Hr9HTXep5T4aNw8ebjX+/ziR8Nhig/fXfo820dEgQjf1pGIKIJoJbmBHMHKYhfKejvO70taYkxI3qfW7h78+LwMvLfnqMd6TT8+bxAs3T0YlByl8LOHnp7P9hGRNnCFiYgoDMjZcqWl2fZgBRCh2vLl/L40d9r82hqnhF+98jkenZ2Luy4f6bLSdtflI/Fo4Rjc9urnmguolaDmlk8iihyyegybzYZ77rkH5557LiZNmoSVK1e63H7s2DFERYXf7BQRkZaJ9Wy8EevZNHdYUVpeg1nLy5C/bCtmLS9DaXkNmjtODxyDHUyFKoAIhr7vy4bqOlyfn+31d9SqOyQIAuY9txPfHGvD0tm5WH/7FCydnYtvjrVh3j92QBCg29fZEz2f7SMibZEVMC1btgwvv/wybrvtNlxxxRW4++678atf/crlPhGUdI+ISBOkJjewdNm8zrafaOvG6h2egymlyQn09Kjv+/L+3gZMO39w0JNQiK+zrVfA5t0NuGV1JQr/vgO3rK7E5t0NsPUKun6dPdHr2T4i0h5ZrfKaNWvw4osv4r/+67/w2GOPobKyEtu2bUNJSYkjUDIYwnFRn4hI23wlN0hJiPY52/5GRS12fd8StK1Loc5iFwzO78vgAfFY/FoVHp8zFvfOGBW0JBSR8Dp7osezfUSkPbLqMCUmJuKrr75CTk6O42d1dXW49NJLkZ+fjz/96U/Izs5Gb2+vGtcaMNZhIqJw56meTWO7FbOWl3kdQJpTE7B0di5uWV3Z7zY16xU1tVvDvnBp3/fFFB8NS3dPUJNQRMLr7EzqZ37j4oKAkooQkX5JjQ1kZckbMmQIvv32W5eAyWw241//+hd++tOfori42N/rJSIiBYjJDdyRMtue7mHg7C5bXY/djhan7UypiTGI9mPQH8osdsHi7n0Jdka6SHidnYlbEb0VLg7HrYhEpDxZreSll16K1157rd/PMzMzsW3bNhw65H2vMBERhY6UBAtNHafc3tZ365Kv5BFysXBpcETS6xzJWxGJSFmyVpgefPBB7N+/3+1tZrMZ27dvx4cffqjIhRERkXKkzLZfl5+NDdV1bm9zzlYnpmp2Pg8lnnfatKseq0rykc4tTqQB4hmySNqKSETKk3WGSe94homIIllzhxVFKys8Fi99tHAM5v1jB2y9/bsF8QyTgNPb87wFXmqedyLyh6ezfUQU2aTGBn63Fq+88goKCgqQmZmJw4cPAwCefvppbNy40d+HJCIiFXnLpFdanI+/fXTQbbDkvHWJqZpJjyJpKyIRKU/WljzRs88+i4ceegh33nknli1b5siKl5qaiqeffhqzZ89W9CKJiEgZ3g7+//naCyVtXWKqZiIiiiR+BUzLly/HCy+8gMLCQvzP//yP4+cTJ07Ef/3Xfyl2cUREWqBUNjitcJexrcduhwDg2glZuOrCTERHnQ553G1dyjTFew2anM87ERER6Z1fAdOhQ4eQl5fX7+dxcXHo6OgI+KKIiLSiucOKdVV1KC07hIbWbgxNiUfJ1BG4ZrwZaUnhkdjA29/YN1hiqmYiIoo0fk2RjhgxArt27er38w8++ACjR48O9JqIiDRBzAa3bMs+1Fu6IQhnssEVraxAU7t/KbS1RO7fyFTNREQUafxaYbr77ruxaNEidHd3QxAEfPbZZ3j99dfxxBNP4MUXX1T6GomIgq7Hbse6qjqX1NnO9tRZsL66TtfZ4Pz9G5mqmYiIIonfacXXrFmDhx9+GN9++y2A08VrH3nkEdxyyy2KXqCSmFaciKRqbLdi1vIyr2d1zKkJ2Li4oN95IL0I9G9kqmYiItIzqbGB7BWmnp4evPbaa7jyyisxf/58dHZ2or29HYMHDw7ogomItCaU2eCClWgikL/RXfIIUla4JRwhItIj2QFTdHQ0brvtNuzbd/rAb2JiIhITExW/MCKiUAtVNrhgJppgxjvtioSEI0REeuDXNNWkSZNQXV2t9LUQEWmGmA3OGzWywQUz0USo/kbyLRISjhAR6YVfSR/uuOMO/O53v8ORI0cwYcIEJCUludx+4YUXKnJxREShImaD27SrHnvqLP1ul5sNTsrWqmAnmlD6b4w0am2Xi4SEI0REeuJX0gejmwbaYDBAEAQYDAb09vYqcnFKY9IHIpKrqd0acDY4qVurQpVoQom/MdKouV0uEhKOEBFpgdTYwK+A6fDhw15vHz58uNyHDAoGTETkj0CywYlbq9ytFow1m7CqJB/pPwx6G9utmPjYVq+PZzAAlQ9Md/yOUpjxTjo576k/Qvk5ICKKJKplyQO0GxAREanB32xw/mytClUSBma8kyZY2+WYjIOISDv8Cphefvllr7cvWLDAr4shIgonLZ02lJYd8nqf0vIaFOaZMSg5zpGEYdmWfR7vzyQMoSX3PfUHPwdERNriV8D029/+1uW/bTYbOjs7ERsbi8TERAZMREQ/kFPniEkYlKF27SK163Pxc0BEpC1+BUwnT57s97ODBw/i9ttvx+9///uAL4qIKFzI3VqVlhSHVSX5TMLgp2DULgrGdjl+DoiItMOvpA+eVFZW4he/+AX279+v1EMqikkfiCiYeux2lJbXeN1atWTmaLfnXZiEQT61kzEAgb2n/uDngIhIPVJjA0Vb3ejoaNTX1yv5kEREuiVurRprNrm93d3Wqh67HY3tVpz8YUuZKTEGg5LjOEj2QWoyhl67PaDn8ec9DYSYjCM9OY6fAyKiEPFrS96mTZtc/lsQBDQ0NOCZZ55BQUGBIhdGRBQO5GytCsZ2snAVjGQMIm6XIyKKLIoUrjUYDMjIyMCll16Kv/zlLxg6dKhiF6gkbskjolDxtbUqGNvJwlkoahdxuxwRkb6pWofJHuCWBiKiSOOtzlGwavuEO1/JGIanJSLKaEBju9Xxs0Ay6LF2FRFRZPCrl1i6dCk6Ozv7/byrqwtLly4N+KKIiCKJ1O1kJ51SZZMrsXaRJ+bUBKxeOAlvfX4Es5aXIX/ZVsxaXobS8ho0d1g9/h4REZFfW/KioqLQ0NCAwYMHu/y8qakJgwcPRm9vr2IXqCRuySMiLQrFdrJw1NxhRdHKin61i2KjjNiwqAD3rPuCWx6JiMhB1Sx5giDAYOhflu+LL75AWlqaPw9JRBTRMk3xPm4PvLZPOBGzCYr/eux2RzKGJTNHw5yaAIPh9MrS3+ePR9k3J1TPoEdEROFJ1hmmgQMHwmAwwGAwYOTIkS5BU29vL9rb23HbbbcpfpFEROFM3E7mrbZPSUEOBibGBPGqtMtbNsH05DiUFOSgMM/sSMYgCAIe2rjX62MqlUGPiIjCj6yA6emnn4YgCFi4cCEeeeQRmExn6lDExsYiJycHkydPVvwiiYjCmVjbZ9Ou+n7byQDla/vombtsgvWWbizbsg+bdtU7ttY5Bz6N7VavySBOP0YX+u+bICIikhkwFRUVAQBGjBiBKVOmICaGs51EREpgbZ/+eux2tDglukiJj8b6av+yCfrKoMctj0RE5IlfacWnTZvm+P/d3d04deqUy+1MqEBEJJ+77WSRWtvH3ba74oIcTDlnEMypCahr6XL7e+621nHLIxERBcKvgKmzsxP33HMP1q5di6ampn63azVLHhGR1rG2j+dtd4+/tx9jzSasuCkP857bCVtv/zUhd1vruOWRiIgC4Vfv8Pvf/x7btm3Ds88+i7i4OLz44ot45JFHkJmZiZdfflnpayQiogghpYjv9oONmJE7xO3tnrbWecqgt2TmaKxeOCnoWx7dZfkjIiJt8muFafPmzXj55ZdxySWXoKSkBD/+8Y9x7rnnYvjw4VizZg3mz5+v9HUSEVEEkFLEd21FLZbOzsXm3Q39bvO2tU4rWx69ZflLS4rs1UUiIi3yK2Bqbm7G2WefDeD0eaXm5mYAwNSpU3H77bcrd3VERBT2nJM72O2CpIx26W5WhKRsrQv1lkepWf6IiEg7/JpWO/vss3Ho0OkZwFGjRmHt2rUATq88paamKnZxROQbt/aQnjV3WFFaXoNZy8uQv2wrDhxrk1TENy4mShNb6+SQst2QBXSJiLTHrxWmkpISfPHFF5g2bRruu+8+XH311XjmmWdgs9nw5JNPKn2NROQBt/aQnrlbbXmr8giuz8/GU1sPevy9koIcnJuRhI2LCwLeWtc3dXlqYgyiVdqiJ2W7IQvoEhFpj18B01133eX4/9OnT8f+/fvx+eef49xzz8WFF16o2MURkWfc2qMdwRx0hwtPqy3v723AW7dNwdZ9x71mtIuJjsKg5KiAriEUEw4soEtEpD9+BUzOuru7MXz4cAwfPlyJ6yEiCaRu7XFXwJOUxVU+/3habbH1Cli0pgorbsrDvw824s2KWlWK+IZqwoEFdImI9MevkVRvby8effRRmM1mJCcn47vvvgMAPPjgg3jppZcUvUAi6k/q1p6TTqsepDxx0L1syz7UW7ohCGcG3UUrK9DUbg31JWqap8ChrqUL857biYPH2rDu9imofGA6Ni4uQElBjiLBUqjOEokFdL1hAV0iIu3xK2BatmwZVq1ahT/96U+IjT3TeY0ZMwYvvviiYhdHRJ5xa09o8QB/4Lwld7D1Cqj6vgXRUQakJ8dhUHKcYquloZpwEAvojjWb3N7OArpERNrkV6v88ssv4/nnn8f8+fMRFXVmD/lFF12E/fv3K3ZxROSZlExi3NqjHq7yBSbUqy2hmnDQWgFdIiLyza8zTHV1dTj33HP7/dxut8Nm4+CASG3iYHPZln0e76OVrT3hnBCBq3z+E1dbNu2q95rcQa3VllCeJdJKAV0iIpLGr9b5ggsuwH/+859+P3/77beRl5cX8EURkXd62drTt8bOrOVlKC2vQXNHeJzt4SpfYEK12hLq1S3gTAFdpbcbEhGR8vxaYXrooYdQVFSEuro62O12vPPOOzhw4ABefvllvPvuu0pfIxG5IQ4211fXobS8RpVMYoEI97Tnelrl07JQrLaEenWLiIj0RVZv8N1330EQBMyePRubN2/G1q1bkZSUhIceegj79u3D5s2bcfnll6t1rS7+53/+BwaDAXfeeWdQno9Ii8TB5sbFBYpnEgtEJCRE0Msqnx6EYrWFZ4mIiEgqWStM5513HhoaGjB48GD8+Mc/RlpaGvbs2YOzzjpLretzq6KiAs899xyL5BLhzGBTS6QmRCjMM2vu2uXQ+iofecezREREJIWsgEkQXHfjv//+++jo6FD0gnxpb2/H/Pnz8cILL+Cxxx4L6nMT6YFWkixESkIEDrr1TYsTDkREpC1+nWES9Q2ggmHRokWYOXMmpk+f7jNgslqtsFrPHC5vbXW/PYgoXDR3WLGuqg6lZYfQ0NqNoSnxKJk6AteMNyMtKbiDwlBmIQs2DrqJiIjCl6wpUIPBAIPB0O9nwfLGG2+gqqoKTzzxhKT7P/HEEzCZTI5/2dnZKl8hUeiISRaWbdmHeks3BOFMkoWilRVoag9eZjotZCEjIiIiUoLsLXnFxcWIizs9k9rd3Y3bbrsNSUlJLvd75513lLvCH9TW1uK3v/0tPvzwQ8THe0/lK7r//vtx9913O/67tbWVQROFJalJFkoKcoKyVYxZyIiIiChcGAQZ++pKSkok3a+0tNTvC/Jkw4YNmDNnDqKiohw/6+3thcFggNFohNVqdbnNndbWVphMJlgsFqSkpCh+jUSh0thuxazlZV63wJlTE7BxcUFQt441tVuZEIGIiIg0SWpsIGuFSY1ASKrLLrsMe/bscflZSUkJRo0ahXvvvddnsEQU7rSYZIEJEYiIiEjvAkr6EEwDBgzAmDFjXH6WlJSE9PT0fj8nikRaTbLAhAhERESkZ5zmJQoDTLJAREREpA7drDC58/HHH4f6Eog0gUkWiIiIiNSh64CJiM5IS4rDqpJ8JlkgIiIiUhADJqIwwiQLRERERMpiwEQUZphkgYiIiEg5nHYmIiIiIiLygCtMREQK6bHb0dJpc/x3amIMorkdkoiISNcYMBERKaC5w4p1VXUoLTuEhtZuDE2JR8nUEbhmvBlpSdwiSUREpFcGQRBCUcsyJFpbW2EymWCxWJCSkhLqyyGiMNHcYcWClZ9hb11rv9vGmk1YVZKPdJ4rIyIi0hSpsQH3ihARBaDHbse6qjq3wRIA7KmzYH11HXrt9iBfGRERESmBARMRUQBaOm0oLTvk9T6l5TU46XS2iYiIiPSDARMRUYDqLd0+bu+CIUjXQkRERMpiwEREFKBMU7yP2xMQMYdFiYiIwgwDJiKiAKQmxqBk6giv9ykpyMHAxJggXREREREpiQETEVEAoo1GXDPejLFmk9vbx5pNmDs+C1Gsx0RERKRLrMNERBSgtKQ4rCrJx/rqOpSW16De0oVMUwJKCnIwd3wW0pJiQ32JQcHCvUREFI4YMBERKSA9OQ4lBTkozDPDAEAAMDAxJmJWlli4l4iIwhUL1xIRUUBYuJeIiPSIhWuJiEh1LNxLREThjgETERH5jYV7Set67HY0tlsd/3oYvBORTDzDREREAWHhXtIqnq0jIiUwYCIiooBkmuK9Bk0s3Euh4O5sXb2lG8u27MOmXfU8W0dEknFLHhER+Y2Fe0mLeLaOiJTEgImIiPzGwr2kRTxbR0RK4pY8IiIKCAv3khbxbB0RKYUBExERBSzSC/eS9vBsHREphT0ZEREpIspoxKDkOKQnx2FQchyDJQoZnq0jIiWxNyMiIqKwwrN1RKQkbskjIiKisMOzdUSkFAZMREREFJZ4to6IlMCAiYgiVo/djhantMKpiTGI5kCKKKyIZ+uIiPzFgImIIlJzhxXrqupQWnYIDa3dGJoSj5KpI3DNeDPSkji4IiIiotMMgiBETFbN1tZWmEwmWCwWpKSkhPpyiChEmjusWLDyM+yta+1321izCatK8pEuYUaaK1RERET6JTU24AoTEUWUHrsd66rq3AZLALCnzoL11XUoKcjxes6BK1RERESRgVOhRBRRWjptKC075PU+peU1OOm0ctSXuEK1bMs+1Fu6IQhAvaUby7bsQ9HKCjS1W5W+bCIiIgoRBkxEFHHqLd0+bu+CwcNtUleoeu32AK+SiIiItIABExFFnExTvI/bE+DpcKcSK1RERESkHwyYiCiipCbGoGTqCK/3KSnIwcDEGI+3B7JCRURERPrCgImIIkq00YjCcWaMNZvc3j7WbMLc8VleEz4EskJFpCc9djsa262Ofz3cakpEEYhZ8ogoojR3WHHPui/w6OxcbD/YiLUVtai3dCHTlIAbJmXjhvxhSEuK9fj74grVsi37PN7H1woVkR4wEyQR0Wmsw0REEaPHbkdpeQ2WbdmHmCgDZuQOQWGeGelJsWjqOIUN1XXIG5aKoim+U4oXrazAnjpLv9vGmk1YvXCS16CLSOuUqlVGRKRlrMNERNSHc8IGW6+AzbsbsHl3g8t9qr5vwaxxZgzyMhhMS4rDqpJ8rK+uQ2l5jWOFqqQgB3PHZzFYIl1TqlYZEVG4YMBERBFFqYQN6clxKCnIQWGeGQYAAoCBiTEcQJLuSc0EWZjnfWKBiChcMGAiItX02O1ocUqvnZoYg+gQBxSZpnivQZOchA1RRiMHjBSWmAmSiOgMBkxEpAotHhhnwgbSEi1OKIiUnFggItI7bbTMRBRWxAPjy7bsQ72lG4JwesZ62ZZ9KFpZgaZ2a0iuK9poxDXjA0spTqSE5g4rSstrMGt5GfKXbcWs5WUoLa9Bc0dovhvOlKhVRkQUTjgqICJFST0w3huiei5iwoYlM0fDnJoAgwEwpyZgyczRzG5HQaHVCQURJxaIiFxxSx4RKUoPB8aZsIFCRS8Z6JgJUr+0vNWTSK8YMBGR4vRwYJwJGygU9DChIOLEgv5o8ewoUThgwEREiuOBcSLP9DChIOLEgn64KzYsbvXctKuexYaJAsBpIiJSFA+ME3mXaYr3cTsnFEgerZ8dJdI7BkxEpCgeGCfyjBMKpAapWz1POp1tIiLpOGIhIsUxEx2Re5xQILXoaasnkd7wDBMRqYIHxoncYwY6UgPPjhKphwETEamGB8aJ3OOEAilJ3Oq5bMs+j/fhVk8i/7FlJiIiCgFxQiE9OQ6DkuMYLJHfuNWTSF1cYSIiIiLSOW71JFIPAyYiIiKiMMCtnkTqYMBERESkkh67HS1OqZxTE2MQzcErqYhnR4mUx4CJiIhIBc0dVqyrqkNp2SE0tHZjaEo8SqaOwDXjzUhL4oCWiEgvDIIgREyWydbWVphMJlgsFqSkpIT6coiIKEw1d1ixYOVn2FvX2u+2sWYTVpXkI52rAEREISU1NuC+ACIiUlSP3Y7GdqvjX4/dHupLCgrx727pPIW3Pz/iNlgCgD11FqyvrkNvhLwuRER6xy15RESkmEjdhub8dz82ZyxWldd4vX9peQ0K88w8ayIBz4ERUagxYCIiIkW424ZWb+nGsi37sGlXfdhuQ+v7d6clxqDe0u31d+otXTAE4+J0LlIDcCLSFk7REBFRwHrsdqyrqou4bWju/u7mThsyTfFefy/TlICIOUDsJzEQXbZlH+ot3RCEMwF40coKNLVbQ32JRBQhGDAREVHAWjptKC075PU+peU1OOm0tSocuPu7N1TX4fr8bK+/V1KQg4GJMWpemq5FagBORNrEgImIgiZSkwFEikjdhtb3735/bwOmnT8YY80mt/cfazZh7vgsFhP1IlIDcCLSJp5hIqKg4FmE8JdpivcaNIXrNrS+f7etV8CiNVVYcVMeth9sxNqKWtRbupBpSkBJQQ7mjs9CWlJsCK9YHyI1ACci7WHARESqi9RkAJEkNTEGJVNHYNmWfR7vE47b0Dz93XUtXZj33E7MyB2CF4smImPA6c/3wMQYrixJFKkBOBFpD1ttIpLE3+10PIsQGaKNRlwz3hxx29C8/d22XgE1TZ04KyUeg5LjMCg5Luz+frWIgag34RiAE5E2cYWJiHwKZDud1LMIrEmjf2lJcVhVko/11XUoLa/R3DY0ter5aP3v1iMxEN20qx576iz9bg/XAJyItMkgCELErGi3trbCZDLBYrEgJSUl1JdDpAvuttOJxppNPrfTNbZbMfGxrV6fw2AAKh+Yzm15YaLXbsfJThsMAARoYxtaMM7QafHv1rumdisDUSJSjdTYQDcrTE888QTeeecd7N+/HwkJCZgyZQr++Mc/4vzzzw/1pRGFLanb6UoKcrwODHkWIbJEGY2aWi0M1hk6rf3d4SA9OQ4lBTkozDMzECWikNFNi7N9+3YsWrQIn3zyCT788EPYbDZcccUV6OjoCPWlEYUtJVL78iwChRLP0OmfGIim8xwYEYWIblaYPvjgA5f/XrVqFQYPHozPP/8cP/nJT0J0VUThL9DUvjyLQKHEM3RERBQo3QRMfVkspwdeaWlpHu9jtVphtVod/93a6n6GkYg8U2I7HQ/FU7D0TewAsJ4PRRa1kpsQRTJdBkx2ux133nknCgoKMGbMGI/3e+KJJ/DII48E8cqIwouStXV4FoHU5i6xw0vF+TxDRxGDBcKJ1KHLLHm333473n//fZSVlSErK8vj/dytMGVnZzNLHpEMzR1WFK2s8LidbvXCSVwhopDzlM1x1kWZOG9wMv7y4dcef3fJzNE+E5cQaV2gGU2JIpHULHm66x0WL16Md999F//617+8BksAEBcXh5SUFJd/RCSPuJ1uyczRMKcmwGAAzKkJWDJzNIMl0gRviR3e39uAH4/MiLiCuhR6/hb79ve5mNyESD26WWESBAG//vWvsX79enz88cc477zzZD8G6zAR+Y81ZkirGtutmLW8zOO2O3NqAv7xiwn45FATVvEMHQVBsLfG+foOAKe/BxsXFzC5CZGTsKvDtGjRIrz22mvYuHEjBgwYgKNHjwIATCYTEhISQnx1ROGPNWZIy7wNFOtaunDNP8rx2X9PxxyeoSOVBavuV19MbkKkHt30FM8++ywsFgsuueQSDB061PHvzTffDPWlERFRiGWa4r3enpEcjx67wHo+pKpQbo3z9R1gchMi/+mmtxAEwe2/4uLiUF8aERGFEIsjk1YoUezbH/wOEKlLNwETERGRO2JxZCZ2ICnUTsYQiq1xgXwHgpmcgkivdHOGiYiIyBMWRyYpxGQMr+6swUXZAzFvYhayBiYiIcaIQQPiFCnwGqq6X/58B1i3iUga3WTJUwKz5BEph9XkSYuYzZE8EZMxnOywYcX88dh+4DjerKh1BArFBTm4dkJWQIFCj92O0vIar8W+1a77JfU7wLpNRGGYJY+ItIOzkqRV4ZTNkZMSyhGTMXx9tB1rb5uMJRv29Mti9/h7+7H5i4aAAgVxa9ymXfUei32rvT1UyndAanIKFnQmOo0rTEQkC2clidTHSQlliXWKJuak4ZyMJDy19aDH+yqxAtTUbg3p9lBfwTbrNhGdxhUmkixSZjEj5e9UE2clidQXqjo+4a7e0o3CPDOWrN/j9X6l5TUozDMHFCikJ8ehpCAHhSGo+yU12GbdJiLpGDBFuEiZxYyUv1NtUlPmBjrYIIpUnJRQT6YpHmmJMUELFEKxPVROsB2q5BREesTWNoKJDeuyLftQb+mGIJxpWItWVqCp3RrqS1REpPydwcJZSVJCpKUylvr3hqqOT7gT6xQ1d9rCtsCrnKK5rNtEJA8DpggVymrkwRQpf2cwhetgg4KnucOK0vIazFpehvxlWzFreRlKy2vQ3BGekxdy/15OSihPTMZQWdOM6/Ozvd5Xr4GCnGCbtcuI5OE3IUJFyixmpPydUgU6q89ZSQqUXlZ8lVoB8+fv5aSEOtKS4nDL1BEozNNvoODrcykn2BbrNi2ZORrm1AQYDKcTPSyZORqrF05i7TIiJzzDFMG0PIupZIIGLf+dwaTEOS4tpMwl/dLL+Rylzjz68/eKkxLe6vhwUsJ/6clxSE2Mwcriidiwqx6rdFTkWMrnUu65pFAmpyDSEwZMEUyrBz6VTtCg1b8zmJTMuuVPNXkiQB9JQ5T8rvjz93JSQn1RRiMyBsRjYUEO5mggUJAyQSjlc+lvsB1OtcuI1MKAKUJpdRZT6XS6Wv07g0mNWX3OSpK/tLri22O342THKbRbe3H35edjQ3Ud3t/bAFvvmekUOd+VHrsddrvg19/LSYng0EKgIGWCsG8bHhtlxIwxQ1CYZ0ZaYgyaO22o/r4FPx2VwWCbSCUMmCKUFmcx1RjYa/HvDDZxlttdJysOCv2Z1dfCYIP0R4srvu4GrdfnZ+Ot26Zg0Zoq1LV0Oe4r5bsiPt6oIQP8/ns5KRH+pE4QOq9UmlMTsGL+eGw/cBxL1u9xfF5vmJSNi7JTkTFA3WCb9QwpUjFgimBam8VUa7uO1v5OIPidjsFgwNrbJvfrZMVB4eLXqiLiHBeFlhZXfD0NWp/aehBb9x3HipvyMO+5nY6VJl8rYM6PN+uiTFyfn42nth70eH9vfy8nJcKXnAlC4PRnMjbKiBXzx2PJhj39Pq9PfngQH3513BFkqRFss54hRTIGTBFOa7OYam3X0dLfGYpO57mbJ+C+d3Z7HBQ+O39C2J/jotDT2oqvlEHr9oONmJE7BJt3NwDwvgLW9/He39uAt26bgq37jmvi7yXtkDNBCJxemZ2Yk4btB45L3oWhZLCt9HZ5Ir1hK02OhjU9OQ6DkuNC2nmrmU5XC39nKFIqp8RH4z8HT3jtZMu+aYQpnvMnpD4tpTKWMmhdW1HrGLQC3leE+j6erVfAojVVeHR2Lu66fGTI/17SFqkThOLKbGGeGW9W1Hr9HTXKZLCeIRFXmEhDtLhdR0mhSqnc2t2DV3Ye9nqfVz85jHkTszAoOUqx5yXyREsrvlIGrek/BDVSVoT6Pl5dSxfmPbcTM3KHYOnsXKQnxWKIKQEZA2K5shThpJ5vE1dmGyzdIUmaoofslkRqY2tNmhHulcfVKKIrtbimVjOTUeTSwoovIG1Vu627R/KKkLvHs/UK2Ly7AbesrsSi16oRHWXQbTtGypBbBDwtKQ7pSbEhK2rMPoQiHVts0hQtbdeRSmrQAijb6TR3WFFaXoNZy8uQv2wrZi0vQ2l5DZo7+m/rC1UnS6RlUgatxQU5GJtlQklBjtf2p8duR7TRgOIfDul7oudVclKOPxOEgwbEyQqylMQ+hCIdt+SR5mhpu44vchM4KJVSWc4B3GBudWTKWdITKUkorhmfhdRE7xM1Yjvwyo4a/O2m8RhrNjHJA/kkN4OrnKQpSrbF4b5dnkgKgyAIETMp0NraCpPJBIvFgpSUlFBfTlBxIKs8d0GLaKzZ1C9rUI/djtLyGredjlgj6fZLzkHGgDOBjrv3yNvjiJbMHO1yFqq5w4qilRUeO1klVu+Ycpac6anNaWq3+l12oG87YE5NwIqb8rD9YCPWVtRqoowBaVuv3Y6TnTbJE4S+Pq9qtMXB6EOIQkFqbMCAKQJwIKs8f4IWwH2nIxYi/M/XJ/D6Z9/7fI8a262YtbzM60qVOTUBGxcXuBzADWRQ6Ivc4JHCmx7bHLmDVsBzOxATZcCM3NNFos/JSEZSXBTSkpjkgZTj6fOqZlusZh9CFCoMmNyIxICJA1l1BBK0tHb3YPMX9XizohaN7Vasu31KvxpJInfvUWO7FRMf2+r1+gwGoPKB6f3eW38Ghb74GzxSeIqkNsffdoBIDcFoi9XoQ/ylp1Vs0i6psQE/WWGMtRPUJTeBw4k2K4pKP8MVT23HwWNtWDo7F+//ZirKvmmU/R75ewBXjcxkamT/I30KtzZHSkIXZg8jrZDSFr/6yWG0dfdITlTUl1ayW8pJekSkBAZMYYwDWXXJCVpO9fTi7c9rsbeu1SXFcE1zF17eUeP1cfq+R3LT0QYDB40EhFebI3VAxuxhpCW+VjufviEPaytrQxZoyMkq64mcAvBKPB8RwIAp7HEgqw65QUtzxym3xWPTEmNkv0darFfFQSOJwqHNkTog0+LkBUU2T21xbJQRK+aPx5INe/D4e/t9BhpqUGJVSM4qNlehSEkMmMIcB7LqkBu0GA0Gl4FkbJQRsy7KREpCDDYvLsDK4nzMuigTMVH9h5Lu3iMt1avioJGciW2O+BlfWZyPDXdMcXzGhw1M1HSbI2dApsXJC4pc3triGWOGYPuB4yHbLitnVcgbqavYJ9pOBfx8XJ0iZ6zDFMZYO0Fdcmpo2AXBUYNJzIq3/cBx/OLFTx1ZxK7Pz8Zbt03BojVVqGvpcvyup/dI6XpV/h6glVMbhPTDn8+D2OasKq9xfMaXrN/j8hn/3RUjFWtz1Dj0LXVAVphnxqDkONm1dIjU4q0tLswzY8n6PV5/3/lzrSSpkxBSk1FIWcXusvUG9Hx6zPRJ6mKWvDDH2gnqk5I16FRPL14qO4SnPjyItbdNxpINezxmEXt0di7mPbcTtl4haO+REp0DU86Gj0A+D80dVhy1WHHPui9UzZSn1oDG3yyUWsoeRpHNXVv86i8vxk//92Ovv+cpu2qglMwmKfWx/mfuWNy88jO/ni+SMn2S9NiAK0xhjrOf6hOzBnkTGx2Faydko627x+e2iO0HG3Fj/jAMS08MynvkrnMQty5s2lUvuXNQesWLQiPQz0NKQgze/vyIYrPJalyjL+JqsOfb+2+TldIOkL6FOo211Od31xYLTrscPFFzi75SZxul7JwpLsjB2spav55P6dUwCh8MmCJAJA1kQ92heZMxIA4LJg/H3L/v8Hq/tRW1WHf7FGQMUL/QpdKdAweN+qbE56Gl04ZV5TVen8fX1h9v32O1BzTcykzuhHqLltzn79sW99jtIf1cD09LwEXZA1GYZ0ZaYgyaO23YUF2H9/c2wNYrSA7WpGwBLxxnxis+ss96ej65W3IpcjBgihCRMJANdYcmRXSUUdJMW0yUISgBrT+dg5aDUgqMUoOFQGaTfX2P1R7QuBuQxUYZMWPMEBTmmXFWShzSk+I0nbiClKX2iqYSz29KjPHaLofyrGlqYgxW33IxNlbX9TvTKJ7blROs+do5k5IQjZun5PgdHIZDpk9SHgMmCgtqdmhKBwih3BbhjpzOQQ9BKQVGicGCv59xKd9jpa7RG+cB2Xt7juKhqy/Av792TWDBz31kCPUWLV/P39xxCu3WHrxT7btdVmqLvtw+sbXLhsWvVfX7Xj+19SC27juOFxZMwBBTgqzXz9fOmUCCQ6310aQNDJhI99Ts0JQOELS43Udq5xDqWVYKjkAHC/5+xqV+j6+dkBWUAY04IJs9zoySVfzcR6pQb9Hy9vxibaVFboIRT5/PQLfoy+0TpXyvy79twsKCHMf9pQZj3nbOyAkOnZ9TEAQsnT0Gt6/5HLZe960It+RGJu6jId2T2qGddGqEpVCqboSzaKMRc/O0U7dFag2llPhoybVpSL+UqKnlb20iqd9jW689aHW/BAAbdvFzHypaqYMT6i1anp7f39pKYqCRnhyHQclxiDIaJb3W/vSJUr7Xq37on5UuNCsGhxsXF6DygenYuLgAJQU5LsFS3+ec/Uw5vmtsx8ZFU2FOTej3mCyTEbn4jpOiQtXBSenQ7HZB8vXIKV4pR3OHFf/86hgenzMGd10+MuRFZ6UOblu7e1QJSklblCrE6m9hZSnfY6PBELRisWpNxpBvSg+eAxHqAvCenr8wz4w3K7xng5Py+ZTyWgfSJ0r5XvfaBTRYunFORjIm5qQh2mgIeIIScB8cOv/d7gLAx9/bj3vX7caaX16M4WmJIe2jSTu4JY8UE8rzLVK26Bw42ob9x9okXY8a2zCct7TFRBkwI3cIls7ORXpSLDptvbhgaApSE4PfEEvZutDYbg35LCsFh1LnHPzZ+iN1q116EMsl8HMffFra/hvqbdTenj8tMSbgz6fU1zqQPlHK9/rro21YUPqZ2yLuapwTkxIAbt13DBsXF6DXLoR1dmGShgETKSKUHZyUDu26/GysrazF5t0Nkq9HyYFS38bZ1itg8+4GbN7d4LjPkpmjQ1bbQcrglgdhI4dSpQjkZOeUOzANVrmEYH7utZaBMhTXE+okC32FMrucr+dv7rQF9PmU81oD/vWJcvpncYVHTAax4qY8RxF3pc+JhfpsGukPQ2UKmFrb16SSso1o2sgMfPDlUVnXo+Q2DD1s7fG2dUGJsy2kL94+D2rwZzug2tcYzM+9lraghfJ6tNhW+rvFVO3nt9sFFP8QzHji7fPpK6HErIsycf6QAWhqP4WeXjsW/GgYYqI8TxO66xPl9s8isYj7jNwhANRZyeXqMcnBFSYKmBZmajxtI7ouPxvTRmZg0Zoql4w33q6nx25HtNGA4oIcPP7efo/P6dwRSZmJ1XPjHOpZVooMSm0HlELKdzZYn3stbUHTwvVosa0MdQF4T88/visVm79o8Pvz6e61NqcmYMX88dh+4DjufXu3Y4v9zZOHu2yV68tTcObpe319fjZ+4qZ/Fq2tqMXS2bnYvLtBlR0M3DVBcjBgIkVooYMTO5SrLszEUUsXmjpOYUN1HZ7ZdrBfY+x8Pc4Dp55eO/bWteLxLV/hyRvyMNZs8tkRST27pffGOZiDWZJOa9u4AhWMgamc85Zqf+61tgVNC9ej1bYy1AXg3T1/oJ/Pvq+1mKp8yYY9/QLmP35wAGPNR122yol8BWd9v9e2XgHLtnyF5W765zPP2YX0H65f6R0MoT6bRvrDgIkUIaWD89QoKinKaER0lAF3rKmSXFuo78Dp+vxsPHlDHpZu/gqPzs7F9oONWFtR67YjkjoTGy6Nc6hnWclVuBYSVnNg6u4729h+CnuOWDAm04RzMgQYjQaXwNPX5z6QoFULK/Raup5waSuDSWq73PdzmhIfjVt+PAKPvnvmtZaSqnznd824MX8YXvn0sKzgzPl73dhuxeeHT3odF2SaEtDUcUqVHQzcNUFyMWCigEk91PllnQUZA2JVb4CkdrgxUQbMf/FTj9XHH52di5te/ASXjToLS2fn4pyMZCTFRSEtKdZRt0LqTGw4Nc6hnmWl00K9bUoOrayCufvOOm8/+t3aXR4DT0+feyWCVi2s0Ls+X+iuJ5zaymDy1S57+pwWjjOj/JsmbNt/HMDpVOVL1u/x+lyvfnIY626fgt9OP8+vSTOp296vz88GBKh2Toy7JkgOBkwUsGijEYXjvHdw00Zm4LevV+OiYVNUH2xL6XDnjDfj7c+PeA12th9sxGWjznJkszOnJmDj4gJHxyB3JpaNMylFC9umpNLSKljf76y37UdSAk+lglatbUEL9fWwrVSWr8/pyuKJ2PxFPV4qq5GcqjwmyuDXhIzYHryyowZ/u2m8123vN04ahrQkdXcwcNcEScWASQe0MjvrTZQRbrevOSddCOYsqa8OFxDw0n+8BzvOB04B97Oqcmdi2TiTEkK9bUoqLa6COX9npWw/8hR4KhW0am0Lmlauh22lMqR8TjfuqkfR5OGYNc6Mnl67agFz3/Zg0ZoqrLgpz+u292DgrgmSggGTxmlpdtYbuwD85vVqXJSd6ijG2jfpgjnVdyOrZHDorcOVWog13anBdtdJ+NOxSG2c/Xkt9BBckzK0to2rL7VWwQL9jDt/Z6VsP/IUeCoVtGptC5qWrocD2cDJ/Zz22O2qBMzu2oO6li7Me26no4h7323vesA+N3IwYNIwLc7OepKaGIObp+Rg2ZZ9LsVYnflqZAMJDj01Wt46XCnBTlPHKY/Xr+ZMrD+vhV6Ca1JGqLdNedNjt6Oxzar4Klign/G+31mp24/cZdS02wVMzElDYZ4ZaYkxaO60YUN1Hd7f2+A4yC41aNXaFjStXQ8FRs5nXK2A2VPg5lzEve+2d61jnxtZGDBplJ7OKACBN7KBBIf+NFpSE1VsqK7zev1XXzgUU85Jx7FWa7/Bkr8di6XzFA4cbUP+8IE4JyPZ8bjeXgs9BdcUOK1sm3JH/D7+aESaoqtgSnzG+7ZTzZ02yYGncztjNBqw9leTce7gJCxZv8clw6ZznRo5QavWtqBp7XrIf3InVzwFzLdMzcE147NgswtobD9dwFjOiorWV8XlYJ8bedjyaZQWq5374m81dKnBYa/d3u82sdFatmUf6i3dEIQzjVbRygo0tbuvSi+1+vjuIxa319/cYUVpeQ3m/n0HrlpehiXr9+DcwUl467YpGD9soN8V4JvarXjts+/xu7VfYM6zO7Bk/R6ck3H6cc2pCW5fi0BeP9InKZ/fUGQSc/4+nmg/hUxTvNf7Sw0olPyMO7dT2w8cP52Jywsxo6b4dzW2n8IzN43H/3ulEk9+eNCl3Xlq60E8uGEvVtyUh5gog+ygVVwRT0+Ow6DkuJAHJ1q7HpJPnFzxxt3nVAyYNy4uQOUD0/Heb6bi52OHornThn0NrVi6+SvMXVGO0vIaNHe472f7Uqo9CDX2uZHJIAiCHj6fimhtbYXJZILFYkFKSkqoL8erxnYrJj621et9DAag8oHpis5iyNmP6+m+vXY7TnbaJM9KNrZbMWt5mdfZJ3Gp3nnrTo/djtLyGq+z7Etmjva6CtfUbnW77WT2ODOijUCv0P/63c0sicaaTVhZPNGvPdi+HvfR2bmY99xODB4Q7/Ja+Pv6kf55+vyGYttU3+/jrIsycU5GEp7aetDj7/j6forU+IyL7ZQgAAtXVXhcGV+1MB8bqusctWqk/F13XT4S1lO9+OVPznZ5H3jegUKhucOKopWeP+O+JveaO6x4+/MjWFVe47KaOu38wVi0pgppSbE+V1SU6K+1gn1ueJEaG3BLnoYF+4yCnK1tvu4rt5HwZ6leiUPXcredSM04VFKQ4/W6+j5me3ePzzTnnx5qxv/d+RPUNHUi2uj6aoTTVgeSTkvbpvp+H9/f24C3bpuCrfuOK3IWQunPuPP5RjkZNaUkilhbUYt1t0/ptyrN8w4UCoGcSfO09UysV7jipjzMe26nzyMCWkomogT2uZGHAZNGBfuMgpz9uGrs3fU3OFSi0ZKTiUnpdM7iIGrUkAFYVV7j9b4v7zyMcwcn48ENe1FckINrJ2Q5BlqhTgDAmfPQ0VImMefPoK1X8DttcN/PkyAIqn7G5WTUlFOnRsTzDhRq/kyuSJkg3H6wETNyh/TLtOeuPwinZCKh7nMp+BgwaVQwZ2PkJJgQAEWSUTg3qIIgYOnsMbh9zeeOhAl9eQoOQ9FoKTWz5DyI2nDHFMlpzust3Xj8vf3Y/EUDVpXkhzwBAGfOSdT3+9g3bfDgAfHIGBCHjAGet6w6f56aOk7h+olZKC4YgTW3/giHGjv6JVcRBfoZl5pRU06iCEB/CXwofMmdXJEyQSjWK3x3TwMM8N0faGlV3F+h7nMpNPTzCY1A/iZRkEtOggklklGICRNmLS9D/rKtmP1MOb5rbMfGRVNhTk3od39PwaHcw6w9djsa262Ofz1+HsgM5OCq8zUca7Xi7EHJiIkyOAZhvh7XOc25ONAyAD4TAMwZb/a7Q/L2uvmbdIPCj6fvo5g2+JbVlfj0UJPPYEn8PBkMBrz5q8lIT47DL178FJf+5eN+SVBEam7n6ft3baiuk5QoQmx39JjARw6l2lXSJqkTeZmmBNh6BUn9gd6TiWg16Q6piytMGhes2RipqyaCjPu642lryuPv7cdYcwPW/PJiFK38DN+f7PS5VC9lFW72ODMsXTb02oENuwJfBQlkZsndzJuYhnh91RFcn5/t9SC5c5pzkfM2CHdbHa7Lz8Zlowbjn18ew5W5Z8le8fE2W5iSEMOZc3IIdFXceSUmNsqIFfPHY8mGPV7PTvz2jV24efJwVbfz9P27/DmbFa7nHbi6HP6k1issKcjB3jqL7P5Ar9u505LisLJ4It7+vA6vfnLY0ef+4kfDMW+CvrYXkjTMkkeyMr4A8Ds7jNQsOddOyEKvXZAcHLrLFFZckIMrLjgLv1/7Bf77qgv6DbxEY80m2ecHfGUcWlmcD8MPox+x8feVAe+x2bmAwYAlG/Z6fNxHC8dg3j92uGxF6psp0dJ1Cl/WtyIxJgpNHaewoboOH3x5FLZeQfbf6uuaX1gwAXP/voOZgiJc3wFPtNGAd6qO4KUyeWcUnNshKZnoHpg5GvMmZGFAfHRQAnLndsZgAJ6dPwFl3zS6DJbc/Z3hmlHLV/vAc1n6J6XPFjNClkwdgWv+Xo7vT3Z5vG/fz7naAbfYNkUbDei29SI66nQ7ISco8xTQNXdYsXBVBbIHJqIwz4z0pFhHn3vkZBdeLJrIz79OMEseSSZn1UQA/F5hUTphgqjvKpytV8DqHYcw/cnt+NmYodh+4LiiqyCeDq6KQdqvXq5E9ZEWR+N/3YQsnysxHx9sRFObFY/Ozu13QP66/GxMG5mBRWuq+p3b6HtWYm3lEY/vjZy/Vcq5iy6bPWxnzkkaTwOeuXlmFOaZIQjuV8XdDUKAMysxUjLRrSqvwZw8/7eayuVutf+XU3Mwb2KW19X/cDzvwHNZytD66oqUVePCcZkYEB8DQPAaLAGu/YHaiVCaO6z4vy+PYazZhI/2HcObFbWygzJv7ds/vzqGXbUW7Kq1YPPuhn6/y89/+GHARLK30gSy7UatAba4J1qcEXt2+3cApA28lA7SxKBGbPzHZJokH5x1PiB//pABaOvuwd//9Q2e2XbQbUIMf85KSPlbpTzWkZOdzBQUwfwd8HgahBSOM2N8diqqalskZ6JTOxh3N6Dt+90ZlBzl9THCLZ0yoN7kVyTRy3ZGbxOEhePMSEs6k01San+gdsAtrv48PGsM7ntnt19Bma/27fE5YxATZfCYqIqf//DDgEnDgjn7JCfdZyCpQdUeYLd02lDb1IGVxflIS4zBoAFxkgZe/vAUpPWVEGOUfHBWPCBf09SJ1QsnITE2CjVNnW4bZbXPSvh6rLcqj6C4IAePv7ff4330NnNO0vg74PE1CFl+Yx4uf2q77Ex0alByQBtO6ZRFWgho9UpvaealnKWWs5J6UsWAW2ybhqUl+b27REr7tu3ACczIHeJ2dQng5z8cMWDSqFDMPslJMOFPMopgbE0RhNPXtmT9HjS0duPlhZMkDbx6PMwSSeFrtlXq4K+p4xTMqf0HUXIGWkoOMn091he1LXjwqguw+YuGsJk5J2n8WWGQMgj5cN8x3Dr1bEcmOm9nmNROla/0gDYc0ik7C3VAq1eh3M4YyCSsr5TkcldSpQbccq9ZbJsemzPWZXdJbJQRM8YMQWGeGWmJMWjutGH7geM42Wnr93fJSae+eXeDx8fm5z+8MGDSICU7a7mNjZw6DX3vK6aX9fRcam9Nae6womSV6+v2VqW07HPxMYF1TN4afymDv+KCHEwYPhAbFxf0G0RJHWgpGZBKeaybJw9HWlJM2M2ckzRyVxikDEJWlddg3e1T8N6eekwakS4rE51S1BzQaqnIcCDC8VxWsIRqO2MwJmHlrKRKCbhtvQJKy2tkX3O9pdtlW685NQEr5o/H9gPHHZOpYpZaT2nPpO4K8fTYN08ezhWmMMOASWOU7KyDuUrlK/20mKnmVI8dLxVPRHP7Kbz+2fd4veJ7ZCTHBzzA9vS6SUkBfNmoweixBzYX5K3x/2jfMfz2sqler+Ga8VlITfT8t0sZaCkZkMp5rHCbOSdp/FlhkDIIiYkyoGhKDixdNqwsnogNu+qxys3ZCUBAj92u+DblYAxotX7Y35dwPJcVTMHezhjMLYCmxBhcOyELV12YCaPhdCbXtKRY2dv3iqYMx+odh1y2uku95kxTvGNnR2P7KZ8lCtw9lpT2rcvW6/Gx//jBAby356jmtleS/xgwaYxSnXUwG0hPz7WqvAYF5wzCB3uP4sKs1H6ZaooLclB+72WIMgKmhMAG2J5eN1uvgEVrqrDipjz8+2Aj3nSTfW5vnQWjhw7w+7m9Nf7i7NOObxvx+Jwx2HbghEsGPKVXYpQ8KyHnscJl5pyk8XeFQWqQFWU0OiZ1FhbkYE6eGXZBQFP7Kbz26WEU/PEjDEqKU20CSM0BrV4O+/sSjueygiWY2xmDuQVQ6mc72mhE4TjvAfflFwzBFU9tl33NYtsk7uz49kSH7LNMUtu33MwUrPn0e2aLjBCsw6Qxje1WTHxsq9f79K2905fUekdKfIk9PVdslBFrb5uMhzftxcOzxihaB8kdX69bTJQBM3KH4P6fj0ZT+ykcb+t21Et4qTg/4M7dXW0m8TUQ/3bxGsSaDZ22XlwwNMXrypK/eu12nOy0KbLio+Rjkfb4u9rhqx7Z6oWTXL5XgbRLwaz5o2bdpHCsXcT2QZ5g9s9A8OqAyf1sN3dY8X1Tp9syGtdOyMKv11ShqrbFr2tu7rDillWV+MOsXHSd6sXv1u6S/fdLad/sghCWNdYijdTYgK2aBmWa4n3c7n32Seoq1UmnQZK/PD3XjDFDsP3AccmZanrt9oCvxdvrZusVUPV9C7490Y5ZK8rw0MYvcVF2qqxgSTyjJf7rcbpmcbZ1yczRMKcmwGAAbpyUjZ3fNjr+djED3i2rK1H49x246YVP8fbnRxT52/sSV3zSk+MwKDkuoI5XyccibWnusKK0vAazlpchf9lWzFpehtLyGjR3WH3+rrvPvDk1AUtmju4XLAFntnGNNZvcPp6nbVxSZ8iV+h6Js8ve+HM+J9h/R7CwfZDH3+9BINTeAujPZ9suAL95vRrfHGvD0tm5WH/7FCydnYtvjrWhsbXba7Dk65rTkuLwYtFE7G9oRU56ol9/v5T2zW4XmC0ygnBLnsYodZg2mF9id88l1j/qm6nGHSUOuEp93caaTah8YLrsmVApWw3612ayY+7fd3h9XK3WatD7GQvyTYltu3LPr/mzjSvYh+TlnM+R8z1h7SISBXs7YzDKecj9bKcmxuDmKTlYtmVfv9Tcc8ZnBXzN6clxmDcxCyfapNeHcvcYntq3HrsdTR2nmC0ygjBg0hilDtMG80vs7rnEDDVKFKCUMiiR+rr5s/1NzsDS+SxPY7tVl7NP4XLGgjxT8lyD3PNr/iQJCfb3yFuxzrnjzUhLivXre6LH9oDUEaxkOcHKaCj3s+2tz95QXYcbJw3DXz782uPjSbnmKKMRgwbE+fz7iwtyEG00uE0i46l9a+m04fVPD0vKgKv1bJGcIJWGAZMGBTr7FMyUr56eS8xQE2gBSjmDEjVm7QIdWOpt9klvBRUjkRKdm9qrHb6uUW6QFYrvkThDXXDuIPT02nG8zYqPDxzHpl11uOpCc78SBlK+J1JTKTe2W4M+aOGgKfiCkSwnWBkNxYx0fesRbaiuw/t7GzB4QLzjO+r8WXthwQTsrWvFo+9+he9PdiLTlIBx2SZcfZEZ//zqmKxrdn7cnl474mOi0GMXMDfP+9+fn5OGWcvLcPOUHEkTgz12O3p67bhmfBYGDYj3mgG3cJxZ09tUOUEqHZM+aFggh2nlHsgOhLvnmnVRJs7JSMK3JzpwTkaS1xkYpQ96K3kIOZADs8E+3BsovV1vJFKqcxOTpLgruCgOcHrsgtfkMmpfo6jv59LdNdvtAn46KkP2Njlff4fY/jg/Z05aAj7cdxxPvL/f4++6+55I+X7dfflIHDzWhs8PnwzqoIWDpvDX1G5VbQtgj92OtyqPYPTQFGw/cNwlG+71+dmYdv5g7G9oxbyJWbB02dx+1grHmRFtBHqFM322nGt29xm+Pj8bl40+C9+eaMeUc9KxcVe9y2OJmXIXralCXUsXAN/JV/o+T15WKv5y3UX4cN8xrN5x2OWxLxs1GJmp8Zr9DoVjEhp/SI0NdBcwrVixAn/+859x9OhRXHTRRVi+fDkmTZok6Xf1FjD5q8duR2uXDb12oV8NE7X2SPdt2IYNTMTLt0zCnW/swh9m5eLBDXtlBW9aGbwHmrUwmIFroIKVTYn8o2Tn1thuxf9bXYmHZuV6HOAs3fwVnl8wQdZ7rVYHLH6PmjtOOYpE9i1RcO2ELBgNwFuf1+HVnTW4KHsg5k3MQtbARCTEnN6aIzVwcm5/nAtTvllR6ziX6c/3xFd78GjhGMz7xw7YegXHz5QYtHgLIjloihxKZzR0/lwJAvqtuorGmk1YWZyPKCNkf9akXLOvz/Cjs3OxbMs+vFA0EbZeO9qtvfjuRDs2VNfhgy+POr5vIrmTuDFRBtw69WzcMCkbzZ2n0NR+Chuq65A3LBVFU7Q5waiVMZYWSI0NdLUl780338Tdd9+Nf/zjH7j44ovx9NNP48orr8SBAwcwePDgUF+eJjjPfjR2WHH9xGy8WDQR6cmxMBoMqqV89bQf+8Wiifjwq2N4fM5YbDtwXHINopZOG2qbOrCyOL/fzLfYuKl9QFpcdt+8uAAnfmgAnZ9f5G07kN5qlfCMhTYpXUslNTEGT94wDotfq/JYzHH5jXmytu2qWe9F/B61W3uwyM01P/7efmz+ogH/c81YvLrzMP564+kA5963d/cLqqTM9opbFmOjjP0KUwZyLtNTe+A80+3cvihRx8VXUXF/3zNu4dMfJbcAOn+uLr/gLJgHJnj9HG3cVYec9CTZnzVf1yyl3dl+sBFDTPF4+/MjuHZCFua/UO71O+xubOHteWy9Av6+/VvExUbhm2Nt2Ly7AWPNJjwye4xmgw0moZFPVwHTk08+iVtvvRUlJSUAgH/84x/YsmULVq5cifvuuy/EVxd67mY/Xvnke7zyyfeO2Rs1v7zuGjbxHMDJThuKJg/H9ROzER11eijhLXgThNO/u2T9HpeZ77dum+JYPldz8O5ped/5+UW+zoMF63CvEvR25ipSqNG5/fPLo14HGR/uO4aFBTkhvUZnpsQYvFPtfWC0dd9xlJbk4zdvVHsMqqSumNRbujHrosx+ZRECPZfp3B7Y7QIOHG3D2spaPLPtYL/JGCCw18zXmcQXFkzw6z3jFr7I1ne76i0/Phs3PLfT6++Ultfgf+aO9XkfuZ91Ke3O2opaLJ2di4c2fomrLsz0a8JD6vP8z9yxuCg7VZMTon1xglQe7Y3YPDh16hQ+//xzTJ8+3fEzo9GI6dOnY+dO919Uq9WK1tZWl3/hSss1PsRAKjUxFkNM8Rjko15Hc4cVJas+w1NbD6Le0g1BODPz/eCGvVhxUx5iogyqDd7FzmDZln1enx+QfmC2b60SAfBY0ylUUuKjcfPk4V7v84sfDYcpXlfzLGFDyc6tpdOGVeU1Xu+zyo9abWp2wFIHLF2nehVpBzNN8Zgz3oymditWFudjwx1TsLI4H4ebOnDjpGyvv+trEkVsD4xGA25e+Rk27+6/ci3y9zWT0id02eyy3zNP7eOyLftQtLICTe2+a3iRfvX9XM0YMwQ9vdI+RwN89B3+ftalPHd6UizqLV0wGvyvdSnlec4fMgAlBTmaD5aAwGt+RhrdBEyNjY3o7e3FWWed5fLzs846C0ePHnX7O0888QRMJpPjX3a2905Oz4JZrFZNUpfXZ+QOUSTTX99itKd6eiU9/435wzwW6PQlkGKhamrt7sGPz8vwWlDxx+cNgqW7J8hXRj29dsU7NzWCG7U7YCnXbPdxLFdKO5iaGINfX3YeRg0Z4FjpnvPsDixZvwetXTZcOzEbl45yvw1cbtYxtV4zKX3CkZOdsp5fyxNzFBx9P1eFeWbUtXRJ+hy1+eg7pH7WnfttqW3j6ZpJpwvQ+luYWsrzGI0GTe4e6UutAt3hTPvvagDuv/9+WCwWx7/a2tpQX5KqwmF5Veos8o0XDws4Faq7wOXbEx2Snv+On57r1yyS1mdnf/XK53h0di7uunykS3Xzuy4fiUcLx+C2Vz/X/Gco3PTY7dhb14rr8wNb1ehL6YF6MDpgKdd8vM37d0hKOxhtNGL66LNw68uVble6/9/Ln2PZnDH43RWu3xO5kyhqv2a++oS3Ko+g2Me2S+fnD5eJOQqM8+cqLTEGb1UekdQ+WXu8B9JSPut9++2//+sbnzsjrsvPxoYfzkelJcXimvFmrxOD7sYW4RZgiOnm5b4OkUw3r8SgQYMQFRWFY8eOufz82LFjGDJkiNvfiYuLQ0pKisu/cBYuy6tSAr9zBycHtOTtKXCx2nolPX9MlLRZJOeZsBNt3ag63IIDR9vc3lcLs7OCIGDeczvxzbE2LJ2di/W3T8HS2bn45lgb5v1jBwQBuvgMhZOWThuWbv4S084f7LVzmy2j3ocanb/aHbCUa14weTg+PnDc632ktIM9djs27PK+krK28giSYqPwYtFEVDwwHRsXF8ieRFH7NXPuE2KjjJh1UabL9sL0pFjMycuS9fzhMDFHgXH+XDV32rDr+5OS2qfxw1MD+qy767dfr6jF5HMGeX3caSMzcORkl+PxxeQrS2aOljzhIeW7Ome8GSc7bZraau+NP69DJNPNYYTY2FhMmDABH330EQoLCwEAdrsdH330ERYvXhzai9OAYBarVZMgCJIOVAfSIXvbVhLogW6Xx3JzMPqGSe4TR4hCmZXG+TO0eXcDNu9u6HcfPXyGwtH3J7uwaE0VVtyUh+0HG12yTYoZ1qJljKnVKmapZlZIKdd8+QVnYcvueq+PI+UzLHWl+8/zLsRZKfEB/V1qvWbO32fn1OjOiXRunjwcRgPw8sL8022VhOdnYpjI1nessaG6DtdMyPLaPhWOy0Ra0ulER+Jn/dVPDuPCrFSX1P9RBngs2uyp37b1Co7n3vldM1795EwtpJsuHoZpIzOwt86Cl4rzXT7L/iRj8vZdLRxnxj+/PIblHx3UVSIUPSWlCjVd1WF68803UVRUhOeeew6TJk3C008/jbVr12L//v39zja5E+51mPRU88eTls5TeHlnDZ780HOh27svH4kFk4cjNdG/v8VbvSGx4K4/hXadSakLMe+5nf0Oenur6RQM4fAZCjfOn9eYKANm5J4uoJqeFIumjtPp7ncfsWDdHVNkB9pqFbNUut6Lr2su/mHAIggCBEHAba9Wobq2pd/vSv0MS62/9ul/X4bBA7yv7EulxmvW3GHFLasq8YdZuS6p0Z2JGVRTE2N8Pj9rtxDg2k/ERBnw1m1T8OCGvdh/tLVf+/R5zUn88idnu3zneu12NHfYsL76CFaV1/QrNLunzoIrc89yCTR81QmMiTLgxvxhKJk6ApbOU2jr7kF3Ty/GZQ90BGtK6ftdjYkyoGjlZ9hV677fZC0zbQvbwrXPPPOMo3DtuHHj8Le//Q0XX3yxpN8N94AJULeadzA0tltx5GSX10K3jxaOQfbABEcDJLceyPHWbkx6/CO3tzk3/v4GDVIGFXddPtJRr8GZFgrD6v0zFG7UHqSqGdx4E0gdH/Ga7YKApvZTeO3Tw3izshaDkuJQXJCDuXlZ+Gj/Mfzto2/8+gyHSxHnHrsdTW2n0GnrwaHGTo+15OR8fjipQoBrP2EwAM/On4CybxpdVng8feekTCg+svmrH2pInv5+SZ3EWH/7FBT+fYfL46kZsHASQf/CNmAKRCQETEDoBkBKaGy34v+trsRDV1/gcevR0s1f4fkFEzAoOU52PZDmDisOHG3D79Z+4XEwZE5NwD9+MQGfHGrCKj+CBqmDraWzc3HL6kqXn2ulYdXzZygchcsgVQyS7HYBTR2n8Pqnh/HGD4GO3O0rvgZdLyyYiNqmDgxKiUdCTBQyBsRK/gyHwyDIUy25aecP7rclWG7wx0kVAvr3E6b4aFi6ewJepRQnFC/KTnV8x7Tar4bL5Eokkxob6OYME0mnZDVvpfmaVU5NjMHPLhyKec/txIzcIVg6O9dl69Ez2w7i3hmjMDAxxmdRxr6zSuIe6D1HLLg+P9vjtru6li5U1DShePJwzPFzX6/UuhDOtJSVRsufoUik5tmgYPE0gF/7q9Nn+jx9b92Rkt76rc9rMXPsUFzx1HaMGpIia5a5tcuGyy84S/EzXsHiqW18autBbN13HCtuynPZEiw3UQPPPRDgvp8YlBzl9XfkFpoVz/RKOactZsPrS+2zwUyEEhkYMFHQSFkNcj7Y7S7xgDhQEQBJ9UCcZ5XEhvpEuxVv3TYFW/cd9zgYKszLQkx0lM/G3xMpB6PbuntgMEB3A18KDT0PUqUO4N19b92RMuh647NaXHr+YMzIHYLNuxskPa7ztZ7ssLk9xF5ckINrNPxdlVPLTmxf/UnUwEkV8ofdLsgqNCsGGlKSvkwbmYFntvWfCFU7YGEilMig/Z6WwoKc+kNSUl36Ww+k3tLtyKrjqd7QyuJ8AILfKUGlpmwem2VCpZ/piCkyiYPU9OQ4DEqOC0mw1LfYs6/viZwBPCC9jo+0IranC2tKfVzna61r6XKbYv/s9CSYErQ71yh1Bl98XQBmv6Tg6LHbfyggK73QrHOg4WlscPcPdQIXranqdz5PfDwlAxbnNlAQBCydPQYxUZ5DMn6/woN2W30KG1KrwzvP/kqZTfdnGVycCRIHQ323/W0/cAJ7jrRgyYa9fqcElZqy2d8sf0ShIvfMICBvC87m3Q2SZ4OlzOoeb+t2bH2V8rh9r9XWK/Rb6TanJmDjMOXOIwSS/MITOVuCtb69kMJHS6cNr3962OuWeMC10GzfQKPv2MAuCPii1oJ5/9jhNlgClA1Y3LWBxQU52LhoKm59ubJfuRB+v8IHAyZSndTVoL57jH1t+ZC7DN53D7S7wdBdl4/E+uo6r2ehpAjWmRM1BltE7sg9M+hMzgBeymxwamIMigty8Ph7+z3e57r8bGw/cALTzs+Q/LhSr1Wp7T3+BKBSSN0SvGTmaG4FpqB6vaLWsSX+wNE2zBhzOg15WmIMmjttqKxpxiUjM/Dx/uN46Opct4FG37HB+OEGjBqSovp5Q09t4OPv7cdYcwPW/PJiFK38DN+f7ORW+zDEgClMaW0grfQgxJ9Cvf7sgZZ6psIdtc+cqDXYIurLn1ViZ1IG8E0dpwBImw0+/V3OwuYvGrx+l/9z8ITjELjUWeZgnUcIJAD1RkrbWPzDluAp56Zz5puCKiM5DovWVOGVWybBaDBg0xd1LsWUiwtykJoYg8fmjMFH+45h3kTfwU4wJiiltIFb9x3DxsUF6LULujpjStLwnQxDzR1WlJbXYNbyMuQv24pZy8tQWl6D5g6r719WiZQ9y+4GIZ7OS4jBz1izye3jeZpV8rQH+i4ve6ClnqlwR60zJ3LOhBH5w+W712b168wgcGY1yBtxC46c2eD05DisLJ6I313R/xzio4Vj8LePDuLH52Xggy+PSn5cqecPA93eIzUA7fXjHKWUtvGaH7YEczBHwSR+v060WREXHYXFr1fhyQ8PuvRhj7+3H4tfq4at145nP/5Wct8rTlBuXFygytlgqTtleuxCSM+Yknq4whRm1Jq1DIQ/q0GA7xUUb7NKc8abAQho/CFwcF5hc175sdsF7KmzOFKWu9sDrbWUoIHO9hP50ve7t2lRgd+rxNFGI+bkeV8NumzUYEQZgIeuzpU1wMkYEI+bfzQc00efhZ5eAcfburH9wAmUHTyB31x2HpZu/gr3zhgleZZZ6vnDQL9X/m5Tlioc0tBT+BG/Xyc7TuHd3fXeE8F8/f/bu/ewKOu8f+DvmeGMMAShCIKgrauLpKhowZa61WaXhXYws1oPmT2Ztpm1yVMeMk9rq9UvPFYrtE+2ZVti9tQ+q2aWZIVimifCDDVEBEFgQIZhZn5/6BADc8/cM8zMfc/c79d1eV01DDNfuJnv/f18D59PNa7vpXXq3uvpzI1MH65sDJj8iFwH0q4MQmoa9XgkvwhJ0eFYenda2/7mgoPl+PRwRVsFcFvb3gI1KvzrwC/4+1fCW9UsHWu1To8FBUd8KiWopwdbpGy2Jl2qdC1d2qp2TXggcielY9uhc1Ypuiff2BvjBsfjpws6DIiLRHS48ys3UWFBiAgJQG2TAfFRIbi+lxaBGjWMJjPemDzU6W0x3go2PD348uU09OS/osODMfnG3rhn3dd2n7el6Cy2/NcNMBhNaDWZZHE2l+nD7ZPbURB3Y8DkR+Q8kHZmENJqMuH/jlbixeyB2FNywWp/88SMRDzy+xTsOPbr3ub2s0o1jXo89Na3olfYXF39csTTHQdnusgThCZdCg6WO8xsZe9zEqBWIzI0APoWY6di1Kv+U4L+cZF4+5HhLg/m3T2z7I1gwxuDL9ZKIjkK0KhF3cP0rSY0tRixu6QKt6f2kPRsrqfGCv5CCWeqGTD5GbkMpG0FDGIHIZeaDEhL0CLno8OChS6X352G2iaD1WDAlRU2T2zBad9xXGxswcRhvTBpRG/EhAdBrVa5JXjiTBd5gtCky2dHKhwWe3b0OYkOD8b0m1Kw9WA5Fm472jZp4syWOW/yZLDBwRcpnZh72M/VjXhtZymWjEvF9Pz9bTtLpOCt7bq+SI5HQTyBAZOfkcNA2tFMg6NBSIBahV3HK+0GPp+XXMCUG3tbPe7qCps7t+C07zgSokLx/n/diD0lFzA9v8htsy4cbJEn2eo/LMWe1z6Yjj2l1Vbb6pz5nMR0u7Id587re0KtUsFkNiM6PAhBARpP/ChO89aWEg6+SMnE3MMsiWAsha17XRMq+dlcZ8cK/r5FDZDvURBPUJnNZsVMRNfX10Or1aKurg6RkZFSN8ftWk0m5BWW2e2E5o8d4NE/XFszDRZpCVpRMw3n6y7jnnVf2w38EqJC8eHMTMS1y75XrdNj2NKddl9bpQL2v3CrzTYYTSbUNhlc3oLT/vcfpFFjy+M3Yn7BD136XQipadRjyqYiwcHW248Ml92MPcmH0I28WqdHdu5ewc9eoEaFSRlJeGL0dQjUqJz+nMh524YUbbuo03PwRYrk6B62ZPzAtmK0CVGheGlcKhZuO4pts91XNNpVYsYKcu7r3MnRPQO4WuxbBtdNiNjYgCtMfsSds5Ydb86RIQGob25t+39bN2t3zTSI3d8coOm8udDZFTZ3DkIuNRnwzr4yZA+Kx6M3pWDfTxc9NuvCLFjkKns3ckczvwajGUkxYYiNcD4ltZy3bUjVNrHblJUy+CLlsNzDPjpYjvx297D7MxIxsl+sVYkPS2FruZzNdbRd19P9idwmT+RyFMTTGDD5GbUKyJ2Ujo8PncP77bbNTM1Kxr0iB9Ltb85qtQobHh6KD/ZX4X/2nbZ7s3Zn0gkxgU9H9gZ7QRo1xgyMw8xRfQFcmRUJVKvwr2L72fScoVYB/2/SEOwpuYC6ywa8/XWZ3ed3NQEHs2CRs8TcyF2ZdHF0A5fztg2p2yb14ItIKjHdgjFhaC/07xGBiJCAtkQwHUt8WApb+8LZ3Pb9iWXcMT49wSrT77bvyzEl035/ItSnynHyRA5HQbyBAZMfsdxYS843YExqnFU2qgNltRCz+7L9zdmyrcxW8gWhm7U7ZhpcPaMjtMKWEBWKtQ8NwVc/VlmdJZo0PAk39YvFpr1lVoVfXR2EGE1o24JX8ESmV2ZdmAWLxHImMHBm9VLMDdzZyRRvzqDKObuo1MEckad1CwnAicoGUeeZfOFsrqU/sYw7Omb6fXB4Ev7QvzuqGvQI0Fz5zHbs34T61PGDE/Dch4ew+0RV23OlnjxR0plqBkx+ouONdfvhCmw/XGH1nOhuQXZvrB1fY8zAOOwpueDUzdodMw1d2VrYcatatU6PjX8aajPoW73jR/znWCXWPpiOCRv3tc1ouTIIaTWZUPD9r7+7miaDYmZdyDc4GxiI3SomdvVDzASCRiXN9jMxbTOZbBfC9iQ5B3NE7iDmfj+yXyy+OHEBi8cN9ImJgWpdi80zzCqVCr/vF4vthyrwz+/O2OzfHPWpS8alYm9ptdUKHOBbdTZ9le//BARA/I21tt2sraPXGJ+egPeLzop+TctMgz1iZxosgc/8sQOQEBUKlerKStH8sQMcJjSwbFXbNjsL3z5/C77+qdp+RfHSaoxJjRP8ucTo+Luz1K2xx19mXch3OLPqaVm9jOl2JbOlrW14YlY/jCYTgCuTKfb0jg5DqwmYvOk7LPvf4zhX12y18jtlUxEuXg1Y3M1R2+K1oSg534CMZTuRnbsXeYVlqGn0TFs6Usr5AFIuofv907f1w4p70nCioh5/n5rhkbO5rSYTqnX6tn+tV/urrnggo1enyeYgjRprHxqC+QU/YPWOHwX7t60H7feptsYrFs6OW9ylK+M1X8IVJj/ijhtr+9eIDgt06jXdPdPQlTM6lsFetU6P/MIyu8/dUnQWL41LtVqRc2UQ0v535Y66NUTu5s5VT2dWP8Rs25g/9ndWq7QdeWoGVWyK4y37z7pl666zuFJNStD+fg8ArUYzQgLVaDWZMaBnhEfulV1dzba1dTgqLBCTRvTG9Pwiq+eK2bHz0cFynLnYaPc9bY1XLKScPFHCmWr/+UlI1Cypoxtr+9ewbCtz5jXdPdPgaJZbDDFBX0yHdrkyCGn/u7LUrVkyLhVP39YPyTFhyB4Uj/+ZPhy7nx2FNycPQ2Qo5yvIe9y5AmwhdkLFMpmSlqC1+by0BC0GJmi7vEruCjFtG9kvFv8+et7q8Y4raJ7giWtGJFeW+/213YIRpw1BVFiQy/d9Ryxb31xdza5p1COvsAzZuXutVp7rLxsQ2y2oU98oZsdOfmEZRv22u93n2BqvWEg9eeKO8Zqc+ddPo2DuuLF2fA1Xt5W13xK3/4VbsW12FqZlJUu2LCsm6LvY2GL1mLODEFu///JLlzFh4z5cbNBj86MjMDAhEvP+dRh/WP0F7llX6NVtPURiAgNnVz2dmVBxNJkSoFFJtv1MqG1zb+uHJeMHWqU4bs/TW2A8cc2IlKr99rvKej36XNsNgTbKkziaDHEUbJkBJF1jnclX7I6d7hGOMgh3Hq9YcPLEs9jL+gl33Fg7vsZnRyow8rfdXXpNucw0iAkkLRl4LJytV1Wt0+NSkwHjB3f+/augwj1De+G/3jmA5Z+e8Oq5DKKO3LkC7MokjaPJFHeskruqY9s+nJmJ0soGTNjwNcovXbb5Pd7YAqOU8wFEntRxRWh6fhH6xobjg8czkRDVuUyJ0GSImLOb274/h4V3pVq/v8gdO5bMeUIeGG49XrHg5InncU+QH3FHMdOOrzH73WKsf2go9p6sxjvfnPa5AqlizlXd0r871u4uRUKUcz9Xx/3P6b2ikDspHTuOV7YV4ps0PBH7HCSdYFpg6bkrjbXcCgra4q695q6eWRRKhe+u9LRduQbt21at0+PA6VqooEL2oJ6daql8dqQC3SNCPLoFpv3PMm5wPO4b2gtGk9kvzwcQeYpQ5rlXd5Zi5/ELnTLlXvm67ckQsWc3P5yZibQEbVvfaNmx8+rOUsHvm5aVjPioEKvvay8tQYsJQ3vhgwO/IOHMJZfqbJLrVGYxxXn8RH19PbRaLerq6hAZGSl1czzGaDKhtsnQpcFQx9fQhgSgrrnVZw/zWbLPdAwk7x5yddBodu7nstUBA0CgRoUZv++DyZnJCNSoYDCacM+6r+0uxSdEhWLb7CymBZaIu9JYy7GgoDe0/2xV6/R4ICMRDwxPQkx4ENRqlVMBS02jHlM2FQkOFhytqLjzGrSaTPhg/y8Y0DMSe0ou4P2is22vOTEjESN/2x0nKuoxYZhnZnWV+vdE5E6tJhPyCsvsTsQ8fVs/nKxssEqkIHRfrtbpMWzpTrvvqVIB+1+4FQDa+sYqXTM+mpmF//7oB4f9m63xyv0ZiRjZLxZPvVeM6xOiMD49ATHhQWhobkVaLy2iwqQPlnxhwtAWsbEBAyZSDHcEkoC4Dnj+2AGYlpWM2iaD6M7V2wXnSDjwBa7cwMRmQXPX6/gqo8mEussGGE3A1oO/IL+wzOVBvq3BwtSsZIwfnIBrwoVvwJ64BlUNekzLF37NTVMzENvuzIG7BgxK/3si6or2n8NWkZOWL41LxfS397c9ZrmHdxwjVOv0yM7d6/D1CmZlIjYixGrcoVJdmZwVswvIaDKhprEFOr0Rp6p0KDhYjn8fPd/pLKVQO73Nlyd4xMYG3JJHiiG0FchZzqRTBpgWWK7E1hFydDNy1+v4MsvP1TG4cCUFt2XL4J3Xx+OywYhfapqwZf9Z/M/XZfhTZrLNG7AnrkHHYtTtBWnUSLk2HNU6PVRX9+0EqlX4V/Ev+PtXXRsw8O+JyHUdB+4fz8pyOlOuvfNAYrYOT8xIxKGzdRjSW4Xo8OBO4w4xW6I1ajViI0KgUevx2s5SWZcnqWnU45H8IiRFh2Pp3WlWW5c/PVyBt6YM84sJHva2RC4Qm82LaYHly5liz/aKG7qjaLSvc7aIrSN1lw149B9FGL3qC/xp03fYfrgCZ2ovCyZK8cQ1EHrNhKhQbHn8RvSNDcf0/KK2lML/2HcaQ3tHQ6VSdSmxC/+eiFxjK3tdla5FdKZcMclUxCTYurlfLGZuPiD42XcmKZa7k764u1Bvq8mE/ztaiRezB6JvbDjmb/0Bd6//GvO3/oC+seFYlJ2KHccqPVp+wVu4wkR+xxv7aMWuGrm7mC+5l5jA12Q2I6+wzO5WA6nSYcuFM6uujlZ5XV1h8cQ16PiaQRo11j40BPMLfui0krZ6x4/4z7HKTgfIXVkRUvrfE5GzhPoNMckWpmYlY2jva7BtdpaorfpCCbYs54wsZQjctRrsrkQ9ntg2d6nJgLQELXI+OiyYVGP53WmobTL4/DltjtJkwt1Rv1IJFZNzZ70jZ1eNmBZYvsTMPJ68oHNY3FDKdNhy4a5BvqsrLJ64Bh1fc8zAOOwpuWA3mNtTWo0xqXEO2+vM+3b+uv//PRE5Q6jfEFMe5d4hvZwukqsNC8Td6fH452Mj8NVzo/H6pHScqupchsBdq8FdLdXS1UK9QgLUKuw6Xmm3T/y85AIC1L4/xcOASQa8MchXAk91CB25UvNKbsV8SVzg+/ANvfHPb8/Y/Jpl9jAyJIDbLuHeQb6zwZcntr7aes3x6Ql4v+is3e/bUnS27fyiUHudfd+OlPD3ROQsW/2GwWjGrM3FWDIuFU/f1s8tk5aWMdtduYUY+bcvcP+GfdhbWoVpWX3QPcK6H5TDarC7t0y312wwiuoTmw2+vwjAgEli3hrk+ztPdgi2uLJqJJdivnSFmMD3pt9ci38fPS/4GnmFZahvbu1y0Whf5+5BvrPBlzsKd3dk6zWjwwKdPkBuq73Ovm97Svh7InKW2WwW7DfKL13GhI37cLFBj3/OGIGtMzPx13vSkBwTDji5Vis0Znt1ZykWFBzB2gfTEaj5NUSy99n/tfB9C87XXfbYDiNPnosM0KhF9YkBGqnDxq7jGSYJMRuS+7jzDIVY7tpX7Iiv1jbwBfaKPY8bnIDxaws7pXFtzzJ76I6i0b7MnWf1XC1g64lrEB0ejE1Th+Gf353F+0VnUdNkEHV+8WJji8P2OnpfJf89ETkrUKPGA8MT8coO22eVDEYzro0IxqUmA8av+7rtcWfS9LeaTPjXgV9Ebcm11HQS+uzXNOrxf0crkZagxa7jlVZ13jyRjtuT5yLF9IkWvjyeYcAkISkG+f5MioPS7kpVLsSXaxv4CqHAt7bJAEdl6trPHnorgJYrdw3yuxJ8eeIaqFQqlFY24KVxqUiODsXkzGT89bMTgs+/PyMRBQfLRbXXHqX/PRE5o9Vkxs39umPHsQuC/cbN/WI79enOTEzXNrYgv7DM7nO2FJ3FS+NSsf1wheBn35KG+8XsgTaTJThbikEMT5U3cWaCy9fHMwyYJMZsSO7jb/WObBWv9FRnqnS2Al9XVjo8HUDLnbsG+V0JvjxxDQ6crsX2wxUI1KjwweOZSEvQCg7KbunfHWt3lyIhqusrQkr/eyJyxksfH8WScanYU1qNLUVnO2Wve2n7Mcwa3bfT94mdmLZsv7PnXN1ldI8IwfyxA2x+9i07i5Kiwx0mkHHXDiNXV+3FEDvBVXfZ4PPjGQZMEvO3Qb43tV/aDVCrPNYhSIHbNaXHlPCucdcgX0zw5Y3tHe0HG5YD5GsfTO80KJuWlYy7h1xp676cW7giRIoi9VarqLBA3HF9T0zYuA9jUuPw0rhUxIQH4WJjCwoOlmPN56WY/YffWK3+WoidmDZdPSflaMx2bbcgwXuzZWfR0rvTMH/rD3bfz107jDx9L3M0wRUZGoC8wjKfH88wYJKQJ6N+f9dxaTcxKhT/eHSEzw1u299kzGYzAjVqtJrMaDWauF1TBniWRFr2gi9vbe/oONiwHCC3DMritCGICQ9GbESQ7PoXIm+Qw1ar9p/T7Ycr2s4QWaQlaDGyXyzWfN75jJPYiemQQI3dc1IAMDEjEaFBGrt9wbm6ZtEJZNy1w8jT9zJ7E1zVOr1fjGcYMEmIM9iusbVV7UztZTz05rd4c/JQFP50EfkyGdzam3WzdZN5YHgibu7XHSEBKm7XlAmeJZEfb29XtTXYKD5zCYMSo5CedI3dvkXqmXciT5LT1nGhoODhG3rjxr4xbQVlOxI7Md0tJADZgxPsnpMaNzgeESH2h9bx2hDRCWTcucPI0/cyexNc/jCeYcAkMc5gO8feVrXyS5cxbm0hNjw0FAWzMqFWqSQd3NqbdQNg8ybzyo5S7Dh2ARseHoqka0Jxpvay0Mtzu6YX8SyJfDizXdUMuC1YcWWwIYeZdyJPkePWcVuf00CNClM3FVkVlLVwZmI6QK1GVGgAVt6bhh3HL3Q6J3XbgB7QhtrvEyw7iwoOlmNiRiJe3Sm8WuWJHUZS3cv84fiJyuwoDZQfqa+vh1arRV1dHSIjI6VujhWjyYTaJgNnsB2o1umRnbvX7gcvISoU22ZnSTrAtTXrZvHEqL6ICgvE8k+FM2395fbfIjkmDLPePSj4nPljB8h+zy+Ru4ntAz6cmYnth89JFqzY6wOcSWVMJFe+cj8GgEtNLaioa0ar0YwqnR57Si6gd0wYxqc7PzF9UafH92cuIShAjYiQADQ0t6Kl1YT03vZXmy1qGvWYnr8fi7JTsaDgiOBqlStFdeWo1WRCXmGZ3eMnUo5nxMYGHGnJBIuaiif3pV1Hs27DkqMdpiZ999szSEvQsnglkQ1i+oCLjXpJCoJf2YLX4rBeizsLaRNJRe73Y+BKgPLBgV8wPb8I2Wv3Yv7WH5BwTSjGDU5wKSCJ6RaMUf1jMSA+EonRYRgQH4lR/WNFv1Z0eDDemjIMJyrqsfzuNDx9Wz8kRIVCpboSYM4fO8BvgiXAf4pxc0se+Ry5L+06qq8l9rBn3eVWmylSuV2TlE5MH3Be4Oue3CZk2YLXPy7C4aSILxxyJnJE7vdjoTNWyz89ge2HKlxe6e3q1raYbsGYMKwXapsMmHJjb0wclogAzZXQ0h93GPnD8RMGTORTHGUWDNKosWRcKsxmMy7UN8NkNiMkUINuIQFePWht7wYi9rDnhYZmPP7OAUzKSMKHMzMRqJH2TBaRHIjJLjqxQ/HYjjwRrLQfmBU8kekTM+9EXSH3TL9yPGPVntLOxvp6AiXfaCXRVfaWdhOiQrH9ySycrNJh3JpCjFixC/es+xr/2FeGX2ov41KT57bhdBSvDRH8WsHBcjwwPNHu999/dcBnMJqRFBOG2Iggbtckn9VqMqFap2/719qFrWhitnfc3C8W/z56XvA13B2sdByYWSZF7JF65p2oq+S+1crRbg/gyuRJVUOLW/omcsyXj5/4TkuJrrIs7c4fO6Bt329yTBjenTECz3xwCMs/PWF1buGVHaV48t2DOHep2aNnFywss25CPjtSgXGD7d9kRl4d8El9wyHqqppGPfIKy5CduxcZy3YiO3cv8grLUNPo+mfRVh9g2fu/aWoGXvr4qM30wRbuDlY6DswsGbDsYY098gf2PotyOIcjZqW3qqHZbX0T+S9uyZOAnOpyyKktzui4tKtRq/CBg0PWO45fwMCeVw5nejIAcVRfq39cJLShgTb3807MSMTN/WLx0vZjmDemv8/s7SWyxZM1WoS2d5gB3HF9TxSfvST4vWKDFWf6x/YDs8+OVOCDxzOx87hwvRZOhJC/kPNWK3Hb3/VWiWE69k2+Ok4i92JacS+TU10OKdriqY5HbHrTv96ThgHxkV7ZN3xRp3d4wLF9OnmT2YxAjRpGk1lWNxwiV0iZSramUY8pm4q6lK7Xmf7RVv+TEBWKtQ+mM2kLkUTE9EFP39YPJysbsP1whdXjlr6p7rJBNmM2T1F6QCg2NmDA5EVyqsshRVs8GaBV6/QYtnSn3eeoVMDWmZlIjA7z2u+Z9bVIqaSu0SJmwkKIs/2j0MAsUKPCmNQ4jE9PQN/YbggP1iA6PIh9AJGXOJo8WTJ+ICZs+LrTFl5LLbdH/1EkizGbp8hpEl8qYmMDbsnzEjlla5GiLZ7cmmMhZum9obnVqwetlZYFh6g9KTPFubpNyJX+UWgbrsFoxvbDFSi72CSL8xxESiOUzvr+jESM7BeLWZuLbZ53PFd3GZcNRlmM2TzFG+Myf+KbV9kHic3WUttuWdRf2iJ2ANKVIo6OEi0AVzLPtbSaeNCayEukzhTnSkYmV/tHuR9+J1Iqy+TJttlZ2P/CrfhwZiaqG5oxYcPXKL902eb3xGtD8UtNk93X9daYzRO8MS7zN1xh8iI51eXwZlvEDkC6UhfFUaKFtAQtbhvQA3HaEJ+dDSLyJXKv0WKPq/2jnA+/EylZ+90erSYTkmLC7WbSnJqVjC37z9p9TV+upeaNcZm/YS/uRY5mW3tHh0GjVrmtXklX2hKvDYXJbHZbW7wRoFlmeF/oMMM797Z+WPNgOuKjQjjLS+Qlcq/RYk9XVsZ8uc4IkRKI6ZvGD07AITuZNgHfr6Ump0l8X8AVJi9xNNuaEBWKtx8Zjg8O/OLxw3diZn6nZiXj0Nk6LNx2xC1tEXO+yB0dT0y3YDySlYzxg+NhNgMmMxASqEZESAAHLkReJnR+QM6Z4nx5ZYyIxHHUN0WGBuBPmcl+3Q94a1zmL5glz4uEsrUEadQomJWF5z485LVsLI4yx6y8Nw3j1hZ2WrJ2pS1SphcmIun5WrZId6QlJyL5s9c3+XM/0Goy4e2vy3DobB3GpycgOiwQNU0GFBwsx2dHKmAwmhUzLmNacRukDpgA26luF2en4lS1Dss/PSH4fZ74wxVKu3vb73rgwTe/FTwM6Upb/LnjIfJ1Sq/DYUtX0pITkX/w536gqkGP9747g39+d6ZtJ9HEjESM/G13vL6rFKsmDPL5n1EMBkw2yCFgAjrPaJjNZoxbUyhJvZKObQlQq5Cduxdnam0HS11piz93PES+inU4hPnayhgRuZ8/9gOOas1tmpqB2Ahl9P+swyRjHWvzVOv0kh2+s9UWe8FSV9rCDFJE8sI6HPaxjhoR+Vs/ICal+LbvfbvGlCfwNyETUtcr8VZbmEGKSB5Yh4OISHnkVBfUl3C0KgNiiq56KxuLnNpCRJ7DmyYRke9rNZmcLgHDlOLOY8AkA3KqVyKnthCRZ/GmSUTku2oa9cgrLEN27l5kLNuJ7Ny9yCssQ02j3u73yWlXk6/gqFcmLDUB5ncoujp/7ACvZ5CTU1uIyHN40yQi8k2WM6jL/vc4ztU1w2z+9QzqlE1FuKizHTRxJ5FrmPRBRuSUFEFObSEi92OBViIi3yT2DKqtxA2WnUQff39OsNQLdxJ1xt+GzMgpKYKc2kJE7sXtt0REvqmrZ1C5k8h5XGEiIlIoy02T9dGIiHxLV8+gcieRcxgwEREpGG+aRES+J14bYjdoEnMG1d9qTHkS74hERArH7bdEpFSupOWW+j2YuMH7uMJEkmo1mXCp3R7bqLBABHCwRkRERB5W06jHh8XlyNv7Myrqm9EzMgTTfp+Ce4ckIDrcPSsvnngPJm7wPpXZbFZM1tj6+npotVrU1dUhMjJS6uYonjc6KiIiIqKOLGm5bWWaS0vQIn9aBmK6uF3N0+9xUaeX/Ayqr098i40NuMJEkrDViVjqB3z8/Tm3dFREREREHXUlLbec3kPqM6hKmvj2nRCQ/IbYTsTogX3ERF3hjb3uRETkWV1Nyy2X9wCkO4PqauFcX8WAibzOW50IkTvVNOqRV1iG7Ny9yFi2E9m5e5FXWIaaRv+6KRARKUFX03LL5T2koMSJb58ImMrKyjB9+nSkpKQgNDQUffv2xaJFi9DS0iJ108hF/tqJkH9S2kwaEZG/i9eGOPi647TccngPKShx4tsnAqYTJ07AZDJh48aNOHr0KF599VVs2LABzz//vNRNIxf5aydC/keJM2lERP7MG2m5/T31t9Imvn0iYBozZgzy8vLwxz/+EX369EF2djaeffZZfPTRR1I3jVzg750I+RclzqQREfkzS1rutAStza+7Iy23N95DSkqb+PbNqwSgrq4O0dHRdp+j1+tRX19v9Y+k5++dCPkfpc2kERH5u+jwYORPy8D8sQOQEBUKlQpIiArF/LED8PYjw92Sltsb7yEFJU58+2QdppMnT2Lo0KFYtWoVZsyYIfi8F198EYsXL+70OOswyYMc6gcQ2dNqMqG6QY+qBj2qdC0oOFiOz45UwGC07jYTokKxbXYWrmUqfCIin2I0mVDbZPBoWm5vvIe31TTqMWVTkWDhXF8JCMXWYZI0YMrJycHKlSvtPuf48ePo379/2/+Xl5dj5MiRGDVqFN566y2736vX66HX/3oYu76+HomJiQyYZMQfOxHyD7bqS0zMSMTI33bHrM3FKL90ue2588cO6FItDSIiIjmzVaC2rsng8xPfPhEwVVVV4eLFi3af06dPHwQFXfmlnzt3DqNGjcINN9yA/Px8qJ0cnIj9pRCRsjmqzr5kXCombNwHg9HsUzNpSufrFemJiKRgr0CtNjTQpye+fSJgckZ5eTlGjx6NoUOH4p133oFGo3H6NRgwEZEjrSYT8grLsOx/jws+57/v6I/bU+Nw2WBEvDYE2jAGS3KnpIr0RETu4mgCMX9aBmJ8eDu62NjAJ0LA8vJyjBo1CklJSVi1ahWqqqpw/vx5nD9/XuqmEZGfEZMV7x/7TuOnKh2m5xdhy4FfWLxW5lhHi4jIeSyr8SufCJh27NiBkydPYteuXejVqxd69uzZ9o+IyN3EZMWLCQ/ioNsH8IZPROQaltX4lU8ETFOnToXZbLb5j4jI3cTUl7jY2NL2/xx0yxdv+ERErmNZjSt8ImAiIvIWMfUl7s9IRMHBcqvHOOiWL97wiYhco7QCtUIYMBERtSOmsPLIfrH491HrM5QcdMsXb/hERM5TYoFaIQyYiIg6EKrO/vRt/bBk/EDM2lzcqXgtB93yxBs+EZFrxEwg3jOkl0+lEXeVz6QVdwemFSciZ1gKKwNAVYMe63afxL+Pnu8ULAEsXitn/lKRnohIChd1ep8vUCtEbGwQ4MU2ERH5FI1ajWuv1pdQq4Cyi002gyUlzbL5IsuKob/e8ImIPCmmWzCmZSVjfHqCzxao7SquMBERieTPs2xKYFkxVOoNn4iIrImNDRgwERE5gYNuIiIi/8AteUREHtB+mx4RERH5P06LEhERERERCWDAREREREREJIABExERERERkQAGTERERERERAIYMBEREREREQlgwERERERERCSAARMREREREZEABkxEREREREQCGDAREREREREJYMBEREREREQkgAETERERERGRAAZMREREREREAhgwERERERERCWDAREREREREJIABExERERERkQAGTERERERERAIYMBEREREREQlgwERERERERCSAARMREREREZEABkxEREREREQCAqRugDeZzWYAQH19vcQtISIiIiIiKVliAkuMIERRAVNDQwMAIDExUeKWEBERERGRHDQ0NECr1Qp+XWV2FFL5EZPJhHPnziEiIgIqlcqj71VfX4/ExEScPXsWkZGRHn0vEofXRH54TeSH10R+eE3kh9dEfnhN5McXronZbEZDQwPi4+OhVgufVFLUCpNarUavXr28+p6RkZGy/SNRKl4T+eE1kR9eE/nhNZEfXhP54TWRH7lfE3srSxZM+kBERERERCSAARMREREREZEABkweEhwcjEWLFiE4OFjqptBVvCbyw2siP7wm8sNrIj+8JvLDayI//nRNFJX0gYiIiIiIyBlcYSIiIiIiIhLAgImIiIiIiEgAAyYiIiIiIiIBDJiIiIiIiIgEMGDygrKyMkyfPh0pKSkIDQ1F3759sWjRIrS0tEjdNEVZu3YtkpOTERISghEjRuC7776TukmKtWLFCmRkZCAiIgLdu3fH+PHjUVJSInWzqJ2//vWvUKlUmDNnjtRNUbTy8nI8/PDDiImJQWhoKNLS0rB//36pm6VYRqMRCxYssLqfL1myBMyf5T1ffvkl7rrrLsTHx0OlUqGgoMDq62azGQsXLkTPnj0RGhqKW2+9FaWlpdI0ViHsXRODwYB58+YhLS0N4eHhiI+Px+TJk3Hu3DnpGuwCBkxecOLECZhMJmzcuBFHjx7Fq6++ig0bNuD555+XummK8f7772Pu3LlYtGgRiouLMWjQINx+++24cOGC1E1TpD179mDWrFn45ptvsGPHDhgMBvzxj39EY2Oj1E0jAEVFRdi4cSOuv/56qZuiaLW1tcjKykJgYCA+++wzHDt2DKtXr8Y111wjddMUa+XKlVi/fj3WrFmD48ePY+XKlXj55ZeRm5srddMUo7GxEYMGDcLatWttfv3ll1/G66+/jg0bNuDbb79FeHg4br/9djQ3N3u5pcph75o0NTWhuLgYCxYsQHFxMT766COUlJQgOztbgpa6jmnFJfK3v/0N69evx6lTp6RuiiKMGDECGRkZWLNmDQDAZDIhMTERTz75JHJyciRuHVVVVaF79+7Ys2cPbr75Zqmbo2g6nQ5DhgzBunXrsHTpUgwePBivvfaa1M1SpJycHBQWFuKrr76Suil01Z133okePXrg73//e9tj9957L0JDQ/HOO+9I2DJlUqlU2Lp1K8aPHw/gyupSfHw8nnnmGTz77LMAgLq6OvTo0QP5+fl44IEHJGytMnS8JrYUFRVh+PDhOH36NJKSkrzXuC7gCpNE6urqEB0dLXUzFKGlpQUHDhzArbfe2vaYWq3Grbfein379knYMrKoq6sDAH4mZGDWrFkYO3as1eeFpPHxxx9j2LBhmDBhArp374709HS8+eabUjdL0TIzM7Fr1y78+OOPAIBDhw5h7969uOOOOyRuGQHAzz//jPPnz1v1X1qtFiNGjOD9Xkbq6uqgUqkQFRUldVNEC5C6AUp08uRJ5ObmYtWqVVI3RRGqq6thNBrRo0cPq8d79OiBEydOSNQqsjCZTJgzZw6ysrIwcOBAqZujaO+99x6Ki4tRVFQkdVMIwKlTp7B+/XrMnTsXzz//PIqKivDnP/8ZQUFBmDJlitTNU6ScnBzU19ejf//+0Gg0MBqNWLZsGR566CGpm0YAzp8/DwA27/eWr5G0mpubMW/ePEyaNAmRkZFSN0c0rjB1QU5ODlQqld1/HQfk5eXlGDNmDCZMmIAZM2ZI1HIi+Zg1axaOHDmC9957T+qmKNrZs2fx1FNPYfPmzQgJCZG6OYQrkwlDhgzB8uXLkZ6ejsceewwzZszAhg0bpG6aYm3ZsgWbN2/Gu+++i+LiYrz99ttYtWoV3n77bambRiR7BoMB999/P8xmM9avXy91c5zCFaYueOaZZzB16lS7z+nTp0/bf587dw6jR49GZmYm3njjDQ+3jiyuvfZaaDQaVFZWWj1eWVmJuLg4iVpFADB79mx88skn+PLLL9GrVy+pm6NoBw4cwIULFzBkyJC2x4xGI7788kusWbMGer0eGo1GwhYqT8+ePfG73/3O6rEBAwbgww8/lKhF9Je//AU5OTltZ2HS0tJw+vRprFixgqt+MmC5p1dWVqJnz55tj1dWVmLw4MEStYqAX4Ol06dP4/PPP/ep1SWAAVOXxMbGIjY2VtRzy8vLMXr0aAwdOhR5eXlQq7m45y1BQUEYOnQodu3a1XYI0WQyYdeuXZg9e7a0jVMos9mMJ598Elu3bsUXX3yBlJQUqZukeLfccgt++OEHq8emTZuG/v37Y968eQyWJJCVldUp3f6PP/6I3r17S9Qiampq6nT/1mg0MJlMErWI2ktJSUFcXBx27drVFiDV19fj22+/xcyZM6VtnIJZgqXS0lLs3r0bMTExUjfJaQyYvKC8vByjRo1C7969sWrVKlRVVbV9jSsc3jF37lxMmTIFw4YNw/Dhw/Haa6+hsbER06ZNk7ppijRr1iy8++672LZtGyIiItr2lmu1WoSGhkrcOmWKiIjodIYsPDwcMTExPFsmkaeffhqZmZlYvnw57r//fnz33Xd44403uENBQnfddReWLVuGpKQkpKam4uDBg3jllVfwyCOPSN00xdDpdDh58mTb///888/4/vvvER0djaSkJMyZMwdLly7Fb37zG6SkpGDBggWIj4+3m7WNusbeNenZsyfuu+8+FBcX45NPPoHRaGy750dHRyMoKEiqZjvHTB6Xl5dnBmDzH3lPbm6uOSkpyRwUFGQePny4+ZtvvpG6SYol9HnIy8uTumnUzsiRI81PPfWU1M1QtO3bt5sHDhxoDg4ONvfv39/8xhtvSN0kRauvrzc/9dRT5qSkJHNISIi5T58+5hdeeMGs1+ulbppi7N692+b9Y8qUKWaz2Ww2mUzmBQsWmHv06GEODg4233LLLeaSkhJpG+3n7F2Tn3/+WfCev3v3bqmbLhrrMBEREREREQngQRoiIiIiIiIBDJiIiIiIiIgEMGAiIiIiIiISwICJiIiIiIhIAAMmIiIiIiIiAQyYiIiIiIiIBDBgIiIiIiIiEsCAiYiIiIiISAADJiIiIiIiIgEMmIiISFJTp06FSqXq9O/kyZNdfu38/HxERUV1vZFOWLZsGTIzMxEWFub19yYiIvdjwERERJIbM2YMKioqrP6lpKRI3SwrBoNB1PNaWlowYcIEzJw508MtIiIib2DAREREkgsODkZcXJzVP41Gg23btmHIkCEICQlBnz59sHjxYrS2trZ93yuvvIK0tDSEh4cjMTERTzzxBHQ6HQDgiy++wLRp01BXV9e2avXiiy8CAFQqFQoKCqzaEBUVhfz8fABAWVkZVCoV3n//fYwcORIhISHYvHkzAOCtt97CgAEDEBISgv79+2PdunVWr7N48WI8/fTTSEtL88wvi4iIvCpA6gYQERHZ8tVXX2Hy5Ml4/fXXcdNNN+Gnn37CY489BgBYtGgRAECtVuP1119HSkoKTp06hSeeeALPPfcc1q1bh8zMTLz22mtYuHAhSkpKAADdunVzqg05OTlYvXo10tPT24KmhQsXYs2aNUhPT8fBgwcxY8YMhIeHY8qUKe79BRARkSwwYCIiIsl98sknVsHMHXfcgdraWuTk5LQFIn369MGSJUvw3HPPtQVMc+bMafue5ORkLF26FI8//jjWrVuHoKAgaLVaqFQqxMXFudSuOXPm4J577mn7/0WLFmH16tVtj6WkpODYsWPYuHEjAyYiIj/FgImIiCQ3evRorF+/vu3/w8PDcf3116OwsBDLli1re9xoNKK5uRlNTU0ICwvDzp07sWLFCpw4cQL19fVobW21+npXDRs2rO2/Gxsb8dNPP2H69OmYMWNG2+Otra3QarVdfi8iIpInBkxERCS58PBwXHfddVaP6XQ6LF682GqFxyIkJARlZWW48847MXPmTCxbtgzR0dHYu3cvpk+fjpaWFrsBk0qlgtlstnrMVlKH8PBwq/YAwJtvvokRI0ZYPU+j0Tj+IYmIyCcxYCIiIlkaMmQISkpKOgVSFgcOHIDJZMLq1auhVl/JYbRlyxar5wQFBcFoNHb63tjYWFRUVLT9f2lpKZqamuy2p0ePHoiPj8epU6fw0EMPOfvjEBGRj2LAREREsrRw4ULceeedSEpKwn333Qe1Wo1Dhw7hyJEjWLp0Ka677joYDAbk5ubirrvuQmFhITZs2GD1GsnJydDpdNi1axcGDRqEsLAwhIWF4Q9/+APWrFmDG2+8EUajEfPmzUNgYKDDNi1evBh//vOfodVqMWbMGOj1euzfvx+1tbWYO3cuAODMmTOoqanBmTNnYDQa8f333wMArrvuOqeTThARkfSYVpyIiGTp9ttvxyeffIL//Oc/yMjIwA033IBXX30VvXv3BgAMGjQIr7zyClauXImBAwdi8+bNWLFihdVrZGZm4vHHH8fEiRMRGxuLl19+GQCwevVqJCYm4qabbsKDDz6IZ599VtSZp0cffRRvvfUW8vLykJaWhpEjRyI/P9+qZtTChQuRnp6ORYsWQafTIT09Henp6di/f78bfztEROQtKnPHTdxEREREREQEgCtMREREREREghgwERERERERCWDAREREREREJIABExERERERkQAGTERERERERAIYMBEREREREQlgwERERERERCSAARMREREREZEABkxEREREREQCGDAREREREREJYMBEREREREQk4P8DoD+rLyt4/E8AAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the data using seaborn\n", "import seaborn as sns\n", "plt.figure(figsize=(10, 8))\n", "g = sns.scatterplot(data=df, x='Feature1', y='Feature2', s=50)\n", "g.set_title('Data for Clustering')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 333, "id": "ac36148a-77fb-48f8-8b35-09117057449b", "metadata": {}, "outputs": [], "source": [ "from sklearn.mixture import GaussianMixture\n", "# Define the parameters for GMM\n", "gmm = GaussianMixture(n_components=6, covariance_type='full', random_state=50) \n", "# GMM fitting\n", "gmm.fit(df[['Feature1', 'Feature2']]) \n", "# Get labels from clusters\n", "gmm_labels = gmm.predict(df[['Feature1', 'Feature2']])" ] }, { "cell_type": "code", "execution_count": 334, "id": "00e25ff2-8fec-479c-abb4-a8dd8844530b", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Assign the labels of clusters to df\n", "df['gmm_labels']=gmm_labels\n", "\n", "# Plot the data with clusters\n", "plt.figure(figsize=(10, 8))\n", "g = sns.scatterplot(data=df, x='Feature1', y='Feature2', hue='gmm_labels', palette='Set1', s=50, legend=True)\n", "g.set_title('GMM Clustering')\n", "g.legend(title='Clusters', loc='center right')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "0ea90b38-1f6b-4a4a-934d-817e29c68614", "metadata": {}, "source": [ "## 3.2 KMeans" ] }, { "cell_type": "markdown", "id": "9b5be5d3-15e7-492e-a429-bfc04b4a10d3", "metadata": {}, "source": [ "[KMeans](https://scikit-learn.org/stable/modules/generated/sklearn.cluster.KMeans) is a clustering method that divides data into K separate clusters, ensuring each data point is assigned to the cluster whose mean (centroid) is closest, determined by its features." ] }, { "cell_type": "code", "execution_count": 331, "id": "e080445a-8e8c-4d30-8a54-1b14b6cf0dc0", "metadata": {}, "outputs": [], "source": [ "from sklearn.cluster import KMeans\n", "# Define the parameters for KMeans\n", "kmeans = KMeans(n_clusters=6, random_state=50)\n", "# KMeans fitting\n", "kmeans.fit(df[['Feature1', 'Feature2']])\n", "# Generating labels\n", "kmeans_labels = kmeans.predict(df[['Feature1', 'Feature2']])" ] }, { "cell_type": "code", "execution_count": 332, "id": "eb30d43b-af8e-4e5a-8851-41c8d6da2cf3", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Assign the labels of clusters to df\n", "df['kmeans_labels'] = kmeans_labels\n", "\n", "# Plot the data with clusters\n", "plt.figure(figsize=(10, 8))\n", "g = sns.scatterplot(data=df, x='Feature1', y='Feature2', hue='kmeans_labels', palette='Set1', s=50, legend=True)\n", "g.set_title('KMeans Clustering')\n", "g.legend(title='Clusters', loc='center right')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "64b4e2e4-27e2-4043-877a-8146571534c4", "metadata": {}, "source": [ "## 3.3 DBSCAN" ] }, { "attachments": {}, "cell_type": "markdown", "id": "c4344b61-18b0-4d2c-9d7e-02c91d27b31c", "metadata": {}, "source": [ "[Density-based spatial clustering of applications with noise](https://scikit-learn.org/stable/modules/generated/sklearn.cluster.DBSCAN.html) is a popular density-based clustering algorithm. Unlike partition-based methods like KMeans, DBSCAN is capable of finding clusters of arbitrary shapes and handling noise in the data.\n", "\n", "Key Parameters: \n", "\n", "- eps (epsilon): The maximum distance between two points for one to be considered as in the neighborhood of the other.\n", "- min_samples: The number of points(pts) in a neighborhood for a pt to be considered as a core pt (This includes the pt itself). " ] }, { "cell_type": "code", "execution_count": 186, "id": "ceea8c88-fd16-4860-b4d5-4795b99b3a45", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "DBSCAN(eps=0.6)" ] }, "execution_count": 186, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from sklearn.cluster import DBSCAN\n", "# Define the parameters for DBSCAN\n", "dbscan = DBSCAN(eps=0.6, min_samples=5)\n", "# DBSACn implementing\n", "dbscan.fit(df[['Feature1', 'Feature2']])" ] }, { "cell_type": "code", "execution_count": 191, "id": "75a3941f-1da1-4b8e-ab52-3caa231356c4", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The numbers of clusters from DBSCAN: 8\n" ] } ], "source": [ "# Generating the labels\n", "df['dbscan_labels'] = dbscan.labels_\n", "print('The numbers of clusters from DBSCAN:', df['dbscan_labels'].nunique()-1)\n", "\n", "# We replace -1 to Noise\n", "df.dbscan_labels = df.dbscan_labels.replace({-1:'Noise'})" ] }, { "cell_type": "code", "execution_count": 192, "id": "21761204-e3f3-4650-9857-5cba585185bb", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Plot the data with clusters\n", "plt.figure(figsize=(10, 8))\n", "g = sns.scatterplot(data=df, x='Feature1', y='Feature2', hue='dbscan_labels', palette='Set1', s=50, legend=True)\n", "g.set_title('DBSCAN Clustering')\n", "g.legend(title='Clusters', loc='center right')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "b1365cb8-0ff5-4bfe-b9aa-ea51a4d4c2e4", "metadata": {}, "source": [ "## 3.4 Metric for clustering" ] }, { "cell_type": "markdown", "id": "adca924f-c343-4f64-8f9d-99e791bb474a", "metadata": {}, "source": [ "Metrics assess the effectiveness of clustering outcomes. \n", "By evaluating various clustering algorithms to select the optimal one or adjusting parameters within the same algorithm for tuning purposes (e.g., selecting the numbers of clusters), we can determine which configuration produces clusters that __aligned with our domain knowledge__." ] }, { "cell_type": "markdown", "id": "fea5b0a5-ca85-48c1-afde-9e0d48edbeb1", "metadata": {}, "source": [ "Related metricis for clustering in sklearn can be found [here](https://scikit-learn.org/stable/api/sklearn.metrics.html#module-sklearn.metrics.cluster)" ] }, { "cell_type": "markdown", "id": "4d841b52-8685-4d10-ad35-ea8c01e4ce5b", "metadata": {}, "source": [ "### 3.4.1 Silhouette coefficient" ] }, { "cell_type": "markdown", "id": "f2521938-c981-4ab7-9cf3-31b1a4cda7c7", "metadata": {}, "source": [ "The [Silhouette Coefficient](https://scikit-learn.org/stable/modules/generated/sklearn.metrics.silhouette_score.html) is a metric used to evaluate the quality of clustering in unsupervised learning. It measures how similar each data point is to its own cluster compared to other clusters. \n", "\n", "$s(i) = \\frac{b(i) - a(i)}{\\max(a(i), b(i))}$\n", "\n", "- $s(i)$ represents the Silhouette Coefficient for data point $i$.\n", "- $b(i)$ is the average distance from to all other points within the same cluster (intra-cluster distance).\n", "- $a(i)$ is the minimum average distance from i to points in any other cluster (inter-cluster distance).\n", "- $max(a(i),b(i))$ ensures $s(i)$ that is normalized to range between -1 and +1.\n", "\n", "\n", "\n", "Interpretation:\n", "\n", "- $s(i)$ near +1 indicates that point $i$ is well-clustered, with its distance to points in its own cluster significantly smaller than its distance to points in neighboring clusters.\n", "- $s(i)$ near 0 indicates that point $i$ is on or very close to the decision boundary between two neighboring clusters. \n", "- $s(i)$ near -1 indicates that point $i$ may have been assigned to the wrong cluster.\n" ] }, { "cell_type": "code", "execution_count": 200, "id": "1453f1e5-dbe6-43b0-913d-b2256399911b", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Silhouette Coefficient: 0.6583554245759751\n" ] } ], "source": [ "from sklearn.metrics import silhouette_score\n", "\n", "# This fucntion return the mean Silhouette Coefficient of all samples.\n", "# We caculate the gmm clusters for an example\n", "silhouette_avg = silhouette_score(df[['Feature1', 'Feature2']], df['gmm_labels']) \n", "print(\"Silhouette Coefficient:\", silhouette_avg)" ] }, { "cell_type": "markdown", "id": "3f1f139c-bf63-44b7-9262-09498605b8bd", "metadata": {}, "source": [ "### 3.4.2 Davies-Bouldin Index" ] }, { "cell_type": "markdown", "id": "60404d01-d860-479e-afc2-e182f82dfe26", "metadata": {}, "source": [ "The [Davies-Bouldin Index](https://scikit-learn.org/stable/modules/generated/sklearn.metrics.davies_bouldin_score.html) provides a measure of the average similarity between each cluster.\n", "\n", "\n", "$ DB = \\frac{1}{n} \\sum_{i=1}^{n} \\max_{j \\neq i} \\left( \\frac{S_i + S_j}{d(c_i, c_j)} \\right) $\n", "\n", "- $n$ is the number of clusters.\n", "- $S_i$ is the average distance between each point in cluster $i$ and the centroid $c_i$.\n", "- $d(c_i, c_j)$ is the distance between centroids $c_i$ and $c_j$.\n", "- $\\max_{j \\neq i} \\left( \\frac{S_i + S_j}{d(c_i, c_j)} \\right)$ computes the maximum similarity measure (Euclidean distance) between cluster $i$ and any other cluster $j$.\n", "\n", "Interpretation:\n", "\n", "- Lower values of DB indicate better-defined and well-separated clusters.\n", " " ] }, { "cell_type": "code", "execution_count": 204, "id": "d09ef47e-24fa-4037-a2ca-7d28831ae650", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Davies-Bouldin Index: 0.5099268217594325\n" ] } ], "source": [ "from sklearn.metrics import davies_bouldin_score\n", "\n", "# Compute Davies-Bouldin Index\n", "# We caculate the gmm clusters for an example\n", "db_index = davies_bouldin_score(df[['Feature1', 'Feature2']], df['gmm_labels'])\n", "print(\"Davies-Bouldin Index:\", db_index)" ] }, { "cell_type": "markdown", "id": "509a8313-4313-465c-a4fa-de3fa5eb65be", "metadata": {}, "source": [ "### 3.4.3 Parameter tuning using clustering metrics" ] }, { "cell_type": "markdown", "id": "0aed6329-3d74-4f32-8e92-ba46fd18b9f8", "metadata": {}, "source": [ "__Example: GMM with Silhouette Scores and DB index__" ] }, { "cell_type": "code", "execution_count": 209, "id": "73899371-41a6-4c1f-a42e-09c57e1047c6", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of clusters: 2\n", "Silhouette Coefficient: 0.4759573267675314\n", "Davies-Bouldin Index: 0.9428541532461406\n", "\n", "Number of clusters: 3\n", "Silhouette Coefficient: 0.4498804005051643\n", "Davies-Bouldin Index: 0.8947941640661562\n", "\n", "Number of clusters: 4\n", "Silhouette Coefficient: 0.5532583288266844\n", "Davies-Bouldin Index: 0.6998984841936211\n", "\n", "Number of clusters: 5\n", "Silhouette Coefficient: 0.6167432592503067\n", "Davies-Bouldin Index: 0.5778207829980669\n", "\n", "Number of clusters: 6\n", "Silhouette Coefficient: 0.6583554245759751\n", "Davies-Bouldin Index: 0.5099268217594325\n", "\n", "Number of clusters: 7\n", "Silhouette Coefficient: 0.5736732293848706\n", "Davies-Bouldin Index: 0.6364794951052388\n", "\n", "Number of clusters: 8\n", "Silhouette Coefficient: 0.5539383347785078\n", "Davies-Bouldin Index: 0.6813828819054302\n", "\n", "Number of clusters: 9\n", "Silhouette Coefficient: 0.4711712615365365\n", "Davies-Bouldin Index: 0.7746958603760038\n", "\n", "Number of clusters: 10\n", "Silhouette Coefficient: 0.4227693058025749\n", "Davies-Bouldin Index: 0.7967121287843237\n", "\n" ] } ], "source": [ "\n", "# Define the range for the number of clusters\n", "cluster_range = range(2, 11)\n", "\n", "# Initialize lists to store metric scores\n", "silhouette_scores = []\n", "davies_bouldin_scores = []\n", "\n", "for n_clusters in cluster_range:\n", " # Fit GMM model using differetn cluster numbers\n", " gmm = GaussianMixture(n_components=n_clusters, random_state=42)\n", " gmm.fit(df[['Feature1', 'Feature2']])\n", " \n", " # Generating labels\n", " labels = gmm.predict(df[['Feature1', 'Feature2']])\n", " \n", " # Caculate Silhouette Coefficient\n", " silhouette_avg = silhouette_score(df[['Feature1', 'Feature2']], labels)\n", " silhouette_scores.append(silhouette_avg)\n", " \n", " # Caculate Davies-Bouldin Index\n", " db_index = davies_bouldin_score(df[['Feature1', 'Feature2']], labels)\n", " davies_bouldin_scores.append(db_index)\n", " \n", " print(f'Number of clusters: {n_clusters}')\n", " print(f'Silhouette Coefficient: {silhouette_avg}')\n", " print(f'Davies-Bouldin Index: {db_index}\\n')" ] }, { "cell_type": "code", "execution_count": 222, "id": "9c539bb1-2268-476a-a1d8-1b40798c793b", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Plotting the metrics iwht cluster numbers\n", "fig, ax = plt.subplots(1, 2, figsize=(12, 6))\n", "\n", "sns.lineplot(x=cluster_range, y=silhouette_scores, marker='o', size=20, ax=ax[0], legend=False)\n", "ax[0].set_title('Silhouette Coefficient')\n", "ax[0].set_xlabel('Number of clusters')\n", "ax[0].set_ylabel('Silhouette Coefficient')\n", "\n", "sns.lineplot(x=cluster_range, y=davies_bouldin_scores, marker='o', size=20 ,ax=ax[1], legend=False)\n", "ax[1].set_title('Davies-Bouldin Index')\n", "ax[1].set_xlabel('Number of clusters')\n", "ax[1].set_ylabel('Davies-Bouldin Index')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "3de396f2-34c5-4cac-9add-cd21d7a0bce9", "metadata": {}, "source": [ "In summary, we can identify the optimal cluster number (6) in this clustering task where the Silhouette Coefficient is highest and the Davies-Bouldin Index is lowest." ] }, { "cell_type": "markdown", "id": "7f1fed5b-d63a-455d-a29e-b72a4c717dce", "metadata": {}, "source": [ "## 3.5 Clustering for road accident data" ] }, { "cell_type": "code", "execution_count": 3, "id": "c4171464-c84a-4df9-aa50-7dffb43ad9b4", "metadata": {}, "outputs": [], "source": [ "# Connect the db and read the table \n", "import sqlite3\n", "conn = sqlite3.connect('accident_data_v1.0.0_2023.db')\n", "df_ac = pd.read_sql(\"SELECT * FROM accident;\", conn)" ] }, { "cell_type": "code", "execution_count": 4, "id": "7106d3c8-6f94-4d82-bf16-529a12d0943b", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Index(['accident_index', 'accident_year', 'accident_reference',\n", " 'location_easting_osgr', 'location_northing_osgr', 'longitude',\n", " 'latitude', 'police_force', 'accident_severity', 'number_of_vehicles',\n", " 'number_of_casualties', 'date', 'day_of_week', 'time',\n", " 'local_authority_district', 'local_authority_ons_district',\n", " 'local_authority_highway', 'first_road_class', 'first_road_number',\n", " 'road_type', 'speed_limit', 'junction_detail', 'junction_control',\n", " 'second_road_class', 'second_road_number',\n", " 'pedestrian_crossing_human_control',\n", " 'pedestrian_crossing_physical_facilities', 'light_conditions',\n", " 'weather_conditions', 'road_surface_conditions',\n", " 'special_conditions_at_site', 'carriageway_hazards',\n", " 'urban_or_rural_area', 'did_police_officer_attend_scene_of_accident',\n", " 'trunk_road_flag', 'lsoa_of_accident_location'],\n", " dtype='object')" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Check the columns\n", "df_ac.columns" ] }, { "cell_type": "code", "execution_count": 5, "id": "8df7838d-540f-4ea3-bd39-892b9a79ccbe", "metadata": {}, "outputs": [], "source": [ "# Camden Town LSOA index\n", "camden_lsoas = ['E01000936', 'E01000937', 'E01000964', 'E01000934', 'E01000935', 'E01000942', 'E01000932', 'E01000933', \n", " 'E01000930', 'E01000931', 'E01000938', 'E01000939', 'E01000943', 'E01000916', 'E01000917', 'E01000914', \n", " 'E01000915', 'E01000912', 'E01000913', 'E01000910', 'E01000911', 'E01000918', 'E01000919', 'E01000876', \n", " 'E01000877', 'E01000874', 'E01000875', 'E01000872', 'E01000873', 'E01000870', 'E01000871', 'E01000878', \n", " 'E01000879', 'E01000966', 'E01000940', 'E01000967', 'E01000965', 'E01000962', 'E01000963', 'E01000960', \n", " 'E01000961', 'E01000941', 'E01000968', 'E01000949', 'E01000969', 'E01000856', 'E01000857', 'E01000854', \n", " 'E01000855', 'E01000852', 'E01000853', 'E01000850', 'E01000851', 'E01000858', 'E01000859', 'E01000946', \n", " 'E01000947', 'E01000944', 'E01000890', 'E01000899', 'E01000945', 'E01000948', 'E01000926', 'E01000927', \n", " 'E01000924', 'E01000925', 'E01000922', 'E01000905', 'E01000923', 'E01000955', 'E01000920', 'E01000921', \n", " 'E01000928', 'E01000929', 'E01000950', 'E01000897', 'E01000896', 'E01000895', 'E01000894', 'E01000893', \n", " 'E01000892', 'E01000891', 'E01000898', 'E01000906', 'E01000907', 'E01000904', 'E01000902', 'E01000903', \n", " 'E01000900', 'E01000901', 'E01000908', 'E01000909', 'E01000866', 'E01000867', 'E01000951', 'E01000864', \n", " 'E01000865', 'E01000862', 'E01000863', 'E01000860', 'E01000861', 'E01000868', 'E01000869', 'E01000846', \n", " 'E01000847', 'E01000844', 'E01000845', 'E01000842', 'E01000843', 'E01000848', 'E01000849', 'E01000974', \n", " 'E01000972', 'E01000973', 'E01000970', 'E01000971', 'E01000956', 'E01000957', 'E01000954', 'E01000952', \n", " 'E01000953', 'E01000958', 'E01000959', 'E01000887', 'E01000886', 'E01000885', 'E01000884', 'E01000883', \n", " 'E01000882', 'E01000881', 'E01000880', 'E01000889', 'E01000888']" ] }, { "cell_type": "code", "execution_count": 6, "id": "0b4f5eec-9def-48ca-bf08-23488d0c03d9", "metadata": {}, "outputs": [], "source": [ "# Select the road accidents in Camden Town and 2018 for a case study\n", "df_ac_camden = df_ac[df_ac.lsoa_of_accident_location.isin(camden_lsoas)]\n", "df_ac_camden_2018 = df_ac_camden.query('accident_year == 2018')" ] }, { "cell_type": "markdown", "id": "1946bc29-113a-42f0-bbdb-de3f15a0d406", "metadata": {}, "source": [ "__In spatial analysis, use projected coordinates, such as the UK National Grid, instead of GPS coordinates (latitude and longitude) in modelling!__\n", "\n", " \n", "- Projected Coordinates: In a projected coordinate system (e.g., the UK National Grid), distances are measured in consistent units (e.g., meters). This makes the process straightforward to compute distances and areas accurately and form the results understandable.\n", "\n", "- GPS Coordinates: Latitude and longitude are in degrees, and the actual distance represented by one degree varies depending on the location on the Earth's surface. The Earth's curvature affects calculations, requiring more complex spherical trigonometry for accurate distance and area computations." ] }, { "cell_type": "code", "execution_count": 7, "id": "1124886a-1a18-4bda-92f1-dea319ce7fa3", "metadata": {}, "outputs": [ { "ename": "NameError", "evalue": "name 'sns' is not defined", "output_type": "error", "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", "Cell \u001b[0;32mIn[7], line 3\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[38;5;66;03m# Plot the data using projected coords\u001b[39;00m\n\u001b[1;32m 2\u001b[0m plt\u001b[38;5;241m.\u001b[39mfigure(figsize\u001b[38;5;241m=\u001b[39m(\u001b[38;5;241m8\u001b[39m, \u001b[38;5;241m8\u001b[39m))\n\u001b[0;32m----> 3\u001b[0m g \u001b[38;5;241m=\u001b[39m \u001b[43msns\u001b[49m\u001b[38;5;241m.\u001b[39mscatterplot(data\u001b[38;5;241m=\u001b[39mdf_ac_camden_2018, x\u001b[38;5;241m=\u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mlocation_easting_osgr\u001b[39m\u001b[38;5;124m'\u001b[39m, y\u001b[38;5;241m=\u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mlocation_northing_osgr\u001b[39m\u001b[38;5;124m'\u001b[39m, s\u001b[38;5;241m=\u001b[39m\u001b[38;5;241m15\u001b[39m)\n\u001b[1;32m 4\u001b[0m g\u001b[38;5;241m.\u001b[39mset_title(\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mThe distribution of road accidents in Camben (2018 year)\u001b[39m\u001b[38;5;124m'\u001b[39m)\n\u001b[1;32m 5\u001b[0m plt\u001b[38;5;241m.\u001b[39mshow()\n", "\u001b[0;31mNameError\u001b[0m: name 'sns' is not defined" ] }, { "data": { "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the data using projected coords\n", "plt.figure(figsize=(8, 8))\n", "g = sns.scatterplot(data=df_ac_camden_2018, x='location_easting_osgr', y='location_northing_osgr', s=15)\n", "g.set_title('The distribution of road accidents in Camben (2018 year)')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "da28ab45-6288-414e-a244-3407b0c7f392", "metadata": {}, "source": [ "__Selecting cluster numbers using Silhouette Coefficient and Davies-Bouldin Index in GMM__" ] }, { "cell_type": "code", "execution_count": 326, "id": "f56be09d-779a-4712-a6bb-ba94a2b625a7", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of clusters: 6 Silhouette Coefficient: 0.37833352706242046 Davies-Bouldin Index: 0.959854198267482\n", "Number of clusters: 7 Silhouette Coefficient: 0.3613672694848889 Davies-Bouldin Index: 0.950573717248856\n", "Number of clusters: 8 Silhouette Coefficient: 0.3641638464614158 Davies-Bouldin Index: 0.9385426642771826\n", "Number of clusters: 9 Silhouette Coefficient: 0.36832146527078075 Davies-Bouldin Index: 0.9154016121154555\n", "Number of clusters: 10 Silhouette Coefficient: 0.3503549807998095 Davies-Bouldin Index: 1.010263464105789\n", "Number of clusters: 11 Silhouette Coefficient: 0.38290098011497387 Davies-Bouldin Index: 0.8579194159105286\n", "Number of clusters: 12 Silhouette Coefficient: 0.3891952064700905 Davies-Bouldin Index: 0.8141446777802225\n", "Number of clusters: 13 Silhouette Coefficient: 0.3325180291459693 Davies-Bouldin Index: 0.8954799369224724\n", "Number of clusters: 14 Silhouette Coefficient: 0.3090034371830531 Davies-Bouldin Index: 0.9587405872550226\n", "Number of clusters: 15 Silhouette Coefficient: 0.2988992266559748 Davies-Bouldin Index: 1.0815334776532302\n", "Number of clusters: 16 Silhouette Coefficient: 0.24352614836759737 Davies-Bouldin Index: 1.3746524264318376\n", "Number of clusters: 17 Silhouette Coefficient: 0.21014671193278267 Davies-Bouldin Index: 1.3235788571295455\n", "Number of clusters: 18 Silhouette Coefficient: 0.2165306885117146 Davies-Bouldin Index: 1.4621467294835246\n", "Number of clusters: 19 Silhouette Coefficient: 0.19278507705234774 Davies-Bouldin Index: 1.4219346583894414\n" ] }, { "data": { "image/png": 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odWaMHcgrK8P/SEpEREQinl1cyTEdDC1prXduNr85azqbt+/kW4+8TWOC84V4KOmWjJSqlahmjC1mzoqNCT2niIiI7LnH5q3jxP06P0wkK8u49oRJTC3tz+fuep2aHTuTEF0710/p1UQSpLggjxvPPSDpq0eOHVTAiiqN6xYREUkHtfWNbKpt6FJlsXMOHskFh47ms7e/xrotqSsNrImUkpGysoxH3lzD/ZfNxHHycrIpLshL+OqRZsawAflUVG/fbREdERERSb1nFldy7OQhXT7PkXuXMLiwF5//yxv8v1P2Zd/h/RMQXfvU0x1DrFJ0kl6WvF/DxtoGhhXl71qJKlnLtc8YW6zSgSIiImng8XnrOGG/vRJyrslD+3HTpw/kh/9YyHOLKxNyzvYo6W6lpRTdqTe+yGHXP8epN77IkvU1SrzTzO0vreSiw0an5Fozxg7UuG4REZGQbatvZHNdQ0I/ed6rf29u/cxB3P3Ke9z18rsJO28sSrpbiVWK7tI7y9mYRsuI9nTVtQ2s3FDLASOLUnK9cSV9Wa5x3SIiIqF6ZtH6hAwtaa1vrxxu+vQBLFlfw48fW0hjY3NSRjwo6W6lrVJ0DY1NIUUkrd3z2nucc/DIlF3PzBg6IJ81m1M32UJERER29/j8PataEo+c7Cx+NGtf9h3WjzdXb07KiIekJt1mdryZLTGzZWZ2bYznZ5nZPDOba2blZnZ4sH1isK3lttXMvhw89wMzWxP13ImJjDlVpehkz+xsauZfC9Zzwr6pXVFqxpiBvKIhJiIiIqGo2bGTmh2NDBuQ3/HOe8jMOHR8CVffPzcpIx6SlnSbWTbwB+AEYApwjplNabXbM8A0d58OfBa4BcDdl7j79GD7gcB24JGo437V8ry7P57IuIsL8ph9Qdlupeh+e87+CS9FJ3vmXwvWc8ykweTlpPZDGtXrFhERCc8ziyo5JglDS1pL5oiHZJYMPBhY5u4rAMzsXmAWsLBlB3ePHihbAMTquz8GWO7uq5IY6y5ZWcbEIYU8csVhNDQ2kZuTxe0vvsvGbQ0cNyX5P2xp319fXcVvz94/5dcdP7gvyyo1rltERCQMj81fxw9n7ZP067SMeIhOvBM14iGZ3YXDgdVRjyuCbbsxs1PNbDHwGJHe7tbOBu5pte2qYFjKrWaW8Nl0WVlGSWEvhhf1YXBhb646ejyzX1jB4ve3JvpS0gnzK7YwrH8+xX17pfzaZsZe/XuzVuO6RUREUmrrjp3U1jcytH/yhpa0iDXiIVGL7yUz6Y5VNPlDPdnu/oi7TwJOAX602wnM8oBPAg9Ebf4jMA6YDqwDboh5cbPLgnHi5VVVVXsS/y598nL49dnT+ebD89m4rb5L55I9d9uLqSsTGMuMscW8slJDTERERFLp3wvXp2y0QfSIhxevOYpHrjiMiUMKE7IWSDKT7gpgRNTjUmBtWzu7+wvAODMbFLX5BOANd18ftd96d29y92ZgNpFhLLHOd7O7l7l7WUlJSVdeBwDDBuTz3ZOn8KV751KvSiYpV1mzg6pt9ewzLPkrRrVFi+SIiIik3uPz309pAYXoEQ+JXHwvmUn3a8AEMxsT9FifDTwavYOZjTczC+4fAOQB0V2J59BqaImZRX/XTwXeTkLsMR0wsojTDhzOd//2Nu5aLCeV7p7zHucdkroygbFMGNyXd9bXhBqDiIhIT7Klbid1OxvZq3/vsEPpsqQl3e7eCFwFPAUsAu539wVmdrmZXR7sdhrwtpnNJVLp5CwPslkz6wMcBzzc6tQ/M7P5ZjYPOAq4OlmvIZZT9y+luG8v/vy/lam8bI9W39jE8+9UcdyUxCz7uqfMjCH9evP+lh2hxiGSLoJ5NZVm1m7nh5kdZGZNZnZ6qmITke7h6YXr+VjI7/+JktS6a+7+uLvv7e7j3P3Hwbab3P2m4P717r5PUPpvprv/L+rY7e5e7O5bWp3zfHffz92nuvsn3X1dMl9DLF//2ETK363mucWVqb50j/TPt9Zx4n57kZ2gj3e6QuO6RXZzO3B8ezsE5WOvJ9IBIyLSKU/MX8cJ+yrp7rGysowbzpzGjf9ZpuEGSebu3Fe+mrPKwh1a0uKQsQNVr1skEMzF6WiiwxeAhwD1UohIp2zZvpP6xmYG98v8oSWgpHuPFfTK4VdnTeeah+axKQGrFEls5auq2XtIX/r3yQ07FAD2HlzIkvf1j5ZIPMxsOJG5NzeFHYuIZJ6nFr7Px/fpPmukKOnugtKiPnz7xMl86d43aWhsDjuchGludqpq6llTvZ2qmnqam8ObNHr7i+9y0aFjQrt+a1lZxuDC3qzfqnHdInH4NXCNu3dY8imRZV5FpHt48u33+Xg3GVoCSrq7rGz0QD45bRjff7R7VDRpbnaWrK/h1Btf5LDrn+PUG19kyfqaUBLvNZvrqNvZxPjBfVN+7fZoiIlI3MqAe83sXeB04EYzOyXWjoku8yoimW3z9gZ2NjUzuLB7DC0BJd0JcUbZCAp753Lbi++GHUqXbaxt4NI7y3ctf1pRXceld5azMYQhNHe9vIrzZ45K+XU7MmNsMXNUr1ukQ+4+xt1Hu/to4EHgCnf/W7hRiUgm+NeC9Xx8n+7Tyw1KuhPmmuMn8fKKjfxnSebNFWpuduZXbOE3/15KRfX2XQl3i4rqOhpSvCBQXUMTr67cyJET0q/Ha+KQQk2gFQHM7B7gZWCimVWY2cWtysKKiOyRJ95ex/HdaGgJQE7YAXQX2VnGL8+cxmdue43Soj5pNySitdr6Rv63bAPPLqpkyfoa9h3ej6MnDWbYgHxKi/J3S7xLi/LJy8lOaXyPvLmGWdOHJ2wVqETKyjIG9c2jcuuObjOjWmRPuPs5ndj3oiSGIiLdSHVtA00Og/r2CjuUhFLSnUCFvXP51VnT+dK9b3LrRQcxoE9e2CHt5r2N23lm8Xqef6eKhsZmDhs/iM8cPpqJQwoJFgaludmZfUHZriEmpUX53PTpAykuSN1rcXceeqOCOz57cMqu2VmHjClmzspNfHLasLBDERER6VaeWtC9qpa0UNKdYCMG9uGa4yfxpXvncsuFZeRmJ28ET3Ozs7G2gYbGJvJysikuyNutZ3hnU3NkEZ8llby+qpphA/I5ZtJgfnXmdIraSKKzsoyJQwp55IrDaGhswh1+/9xSvnvyPhT0Ss2vy4vLNjJ9xAD6puh6e2LG2GLufmWVkm4REZEEe+Lt9/nlmdPCDiPh0jeryWCHjC3m3Y21/ODRBfy/U/bd1YucSC1VRqJ7pGdfUMbQ/r15dnElzy6u5P0tOzhwdBHHTBrMNz4+kZw4/wHIyjJKCj/4SOfYyXtxzUPz+N05+yfltbR2x8vv8t2TpiT9Ol0xaa9CFqtet4iISEJt3FYPQHE3G1oCmkiZNGcdNJLeudncNWdVUs7fVpWRReu2UrOjkWuOn8SDnz+Ub54wmUPGFsedcMdy7JQhjBlUwC3/XZmo8Nv07oZasgxGFvdJ+rW6IivLKC7Io7JG9bpFREQS5akF67vdBMoWSrqT6FsnTuaFd6r479LELPTQ1Oy8s76Gh16voHLrjphVRkYO7MOFh45mxMDEJq1fPnZvXl6xkZeXJ7c+9e0vvcuFh45O6jUS5ZCxxby6UqUDRUSkewlzkbwnF7zf7UoFttDwkiTKzjJ+edZ0PnPba4wu7kPv3Jw2x1+31tjUzLKqbcyv2MLba7ZEFqhxGFfSl/2G96dv75yUVhlpqc5y0W2v8cdPH8DQ/vkJv0bNjp0sWLuF738ivYeWtJgxdiD3vPoeJ0/VuG4REeke2hq+OnFIYdIrim3YVk+WwcAUFm9IJSXdSdavdy6/O2c6qzfV8dUH3or5C7yzqZml67fx9potzF+zZVcN6PGDIwn2GWUj2HtIIXk5H3wwEavKyOwLypJaZWRAnzz+3yn78pX73uL2zx5ErwQn+A+UV3D6gaUpGTeeCJP26sfidRrXLSIi3Udbw1cfueKw3eZ7JcOTb7/PCd10aAko6U6J3OzsXQk3fPAL/Juzp3P9k0swYO8hhew3vD/nHDySCUP6dlj1pHWVkXh6zxNh3+H9Oe3AUn70z4X8v1P2S9h5m5udf8xbyz2XzkjYOZMtO8sY0CePDdvqu10tURER6ZkaGptCWyTvqQXv89uz90/6dcKipDsF2voFLi7oxV8vOWSPJzm2rjKSKqcfWMrc1dU8+HqkZzoRnltSyaHjiumdm9pFeLpqxtiBvLJiEydNHRp2KCIiIl2Wl5MdyiJ5lTU7yM3OarOkcXegiZQp0PILHK20KJ+CXjldqioSpu+dvA8PvV7B22u2JOR8d81ZxadnjErIuVJpxthi5qxI7uRSERGRVCkuyGP2+WW78pbSonxuOGMa2+obk3rdp95+v9tWLWmRmRlfhikuyGP2Bbv/Aid7/HWy5eVk8auzpvOdv71NdW1Dl871zvoaCnvnJmVyZrJNHtqPReu2hh2GiIhIQmRlGQW9s/n1WdN58ZqjeOSKwxg9qICr75tLRfX2pF33XwvX8/Ep3Tvp1vCSFAhr/HWy7dW/N9ccP4mvPvAWsy8oI3sPX89tL77LRRlSJrA1jesWEZHuZtG6GlZv2k7Z6LG7tv389Kl88Z43ueXCgxJeXaSyZgd52Vn075Ob0POmG/V0p0jL+OvhRX0oKeyV8Ql3i5njipk5tphf//udPTp+8/YGVlRt44CRAxIbWAodMmag6nWLiEi3saxyG+NK+u62bcKQQr590hSuuPt1ahM81OTJt9/nhP26/9woJd3SZZd8ZAwrN9Ty74XrO33sPa+u5pyDR2ZMmcBYNK5bRES6k+WV2xg/uO+Hth84qojLjhjLVX99g4bG5oRd718L1nPclCEJO1+6UtItXWZmXH/aVP74/HLe3VAb93GNTc08teB9Tszw/26nDOvHwrUa1y0iIt1DxeY6hg+IPc/q6ElDOHnqML7+4FsJWaly/dYd9M7Npn9+9x5aAkq6JUEKeuXws9On8rUH3mJ7Q3wfOz21YD1HTxq826I/mSg7y+ifn8vGbfVhhyIiItIl7g5Ou8NgTzuwlH2G9eOH/1wY2b8Lnpi/rlsviBMts7MdSSvjSvpy6RFj+ebD8+P6I/zrq6s495CRKYgs+Q4Zq3HdIiKS+dZvrWdI/94d7nfZEePIy8nixv8s79L1nl60nmN7wNASUNItCfbxffZi+IB8bnvx3Xb3m1+xhaH987tNxY8ZY4t5RUm3iIhkuMgkyoK49r32+EmsqKrl3lff26Nrvb9lB/m5OT1iaAko6ZYk+OrHJvLfpVXt9vze9tLKjC0TGMuUof1YsDYxCwWJiIiEZVllTcxJlLFkZRnXnbYfzyyu5Mm33+/0tR6fv46TpvaMoSWgpFuSIDvLuOHM6fzk8UWs37rjQ89X1dRTubWefYf3DyG65MjJzqJf71w2dXGhIBERkTAtr6qNO+kGyM3O4rdn78+dL7/b6Upe/160nmMn94yhJaCkW5JkYEEeP5y1D1ffN/dDZYXufmUV53WTsdzRDla9bhERyXArN9Qyuji+4SUt8vOyufG8A/j5U0virua1dnMdfXvlUNi7ZwwtASXdkkRTSwcwa/owfvL4ol3b6hub+M+Sqm5Zj1P1ukVEJNPVNzbROze708cN6JPH78/dn289Mp/3Nna8XHxkaElmlwzurKQm3WZ2vJktMbNlZnZtjOdnmdk8M5trZuVmdnjUc++a2fyW56K2DzSzp81safC1KJmvQbrmrINGUt/YxHOL11NVU8+qjdv5f6fsS1YGL4bTln2GaVy3iIhkri11O7vU8zy0fz6/OGMaX7rvTapq2i+j++9F6zmmBw0tgSQm3WaWDfwBOAGYApxjZlNa7fYMMM3dpwOfBW5p9fxR7j7d3cuitl0LPOPuE4LjP5TMS3r5/iem0KdXDqfe+CIf+9ULXP6X11myviYhRfXTSU52FoW9c9m8XeO6RUQk8yyvir0SZWeMH9yX7508hSvvfoOaHTtj7rNmcx0D8vPo2yunS9fKNMns6T4YWObuK9y9AbgXmBW9g7tv8w8KOhcA8WRhs4A7gvt3AKckJlxJlpodTXz1/reoqK4DoKK6jkvvLGdjN5x0ePCYgSodKCIiGWl55TbGl3Qt6QbYf2QRVx49niv/+ib1jU0fev6J+es4sYcNLYHkJt3DgdVRjyuCbbsxs1PNbDHwGJHe7hYO/MvMXjezy6K2D3H3dQDB18EJj1wSqqGxaVfC3aKiuo6GGH+Ime6QMQM1rltERDLSsqptjBvcuUmUbTly7xJOO2A4X7n/LZpafbL970XrOWZSz0vfkpl0xxq0+6GebHd/xN0nEemx/lHUU4e5+wFEhqdcaWZHdOriZpcF48TLq6qqOnOoJFheTjalRfm7bSstyicvp/MTNdLdvsP7s2BNfDO3RURE0kmkp7swYeebNX04B44s4vuPvr1rperVm7ZT1CePgh42tASSm3RXACOiHpcCa9va2d1fAMaZ2aDg8drgayXwCJHhKgDrzWwoQPC1so3z3ezuZe5eVlJS0tXXIl1QXJDH7AvKdiXepUX5zL6gjOKCvJAjS7zc7CwKemVrXLeIiGScrXWN9O+T2BJ+nz18DP1653Lva+9RVVNPbX0jVx+7d7eb1xWPZP6b8RowwczGAGuAs4Fzo3cws/HAcnd3MzsAyAM2mlkBkOXuNcH9jwE/DA57FLgQuC74+vckvgZJgKwsY+KQQh654jAaGpvIy8mmuCCPrKzuV8EE4KCgXvfH9uk5q2yJiEhmq29sIjcnOe/LXz1ub95cvZlTb3yRiuq6XZ1vE4cUdttcIJak9XS7eyNwFfAUsAi4390XmNnlZnZ5sNtpwNtmNpdIpZOzgomVQ4D/mdlbwKvAY+7+ZHDMdcBxZrYUOC54LGkuK8soKezF8KI+lBT26tZ/ZDPGFmsypYiIZJR3N2zv9KI48dq0fSdfvm9ujyio0J6kDqhx98eBx1ttuynq/vXA9TGOWwFMa+OcG4FjEhupSOLsN7w/1z2+OOwwRERE4ra8ahvjElC5JJaeVFChPVqRUiTBcrOz6NMrmy3bY9cnFRERSTfLKrteo7stPamgQnuUdIskwUGjB/LauxpiIiIimSERC+O0pScVVGhPz6vXIpICM8YW88T8dRw7pWctcSsiIplp3ZYdDO3fOynn7mkFFdqinm6RJJha2p95a7aEHYaIiEiHWsr3mSUvCe5JBRXaoqRbJAlys7PIz81mS53GdYuISHpbu6WO4QPyO95RukRJt0iSHDxmIOUa1y0iImluWeU2xpUkp1ygfEBJt0iSHDJmIHNWbAw7DJGkMbNbzazSzN5u4/lZZjbPzOaaWbmZHZ7qGEWkY8msXCIfUNItkiRTSwfwVoXGdUu3djtwfDvPPwNMc/fpwGeBW1IQk4h00vKq2qTV6JYPKOkWSZK8nCx652azdYfGdUv35O4vAG2OoXL3bcEqwwAFgLe1r4iEZ9XGWkYlaTVK+YCSbpEkOnh0kcZ1S49mZqea2WLgMSK93SKSZhqbnLwcpYTJpu+wSBIdMraYOSuUdEvP5e6PuPsk4BTgR23tZ2aXBeO+y6uqqlIWn0hPV13bQP8+uWGH0SMo6RZJoqml/Xlr9eawwxAJXTAUZZyZDWrj+Zvdvczdy0pKSlIcnUjPtSyJK1HK7pR0iyRRr5xs8nKyqNG4bumBzGy8BattmNkBQB6gkj4iaWR55TbGaxJlSijpFkmyg0YPpPzd6rDDEEk4M7sHeBmYaGYVZnaxmV1uZpcHu5wGvG1mc4E/AGdFTawUkTSwrHIb49TTnRI5YQcg0t3NGFvMM4vXc9SkwWGHIpJQ7n5OB89fD1yfonBEZA8sr9LCOKminm6RJJs2oj9z39scdhgiIiIfUlvfRGFvTaRMBSXdIknWMq57W31j2KGIiIjssmNnE71ylQqmir7TIilQNmqg6nWLiEhaWVFVy9hBGlqSKhrTLZICR08qoanZWVO9nbycbIoL8sjKsrDDEhGRHmxZlSZRppKSbpEka252srOy+Pzd5VRU11FalM/sC8qYOKRQibeIiIRmWeU2ZowZGHYYPYaGl4gk2cbaBi67K5JwA1RU13HpneVsrG0IOTIREenJlqunO6WUdIskWUNj066Eu0VFdR0NjU0hRSQiIgJVW+sZXNgr7DB6DCXdIkmWl5NNaVH+bttKi/LJy8kOKSIREenpmpodMwgWjZUUUNItkmTFBXnMvqBsV+LdMqa7uCAv5MhERKSnqqjeTmlRn7DD6FE0kVIkybKyjIlDCnnkisNoaGxi/dZ6anbs1CRKEREJzbLKbYzXeO6UUk+3SApkZRklhb0YXtSHcSV9+ekTi9mxU2O6RUQkHMurlHSnmpJukRTr3yeXcw4ayZ+eXxF2KCIi0kMtq9zGuBItjJNKSrpFQnD6gaXMWbGR1Zu2hx2KiIj0QO9t2s7IgRrTnUpKukVCkJVlfPukyfy/xxaGHYqIiPQw7k5Ts5OTrTQwlZL63Taz481siZktM7NrYzw/y8zmmdlcMys3s8OD7SPM7DkzW2RmC8zsS1HH/MDM1gTHzDWzE5P5GkSSZd/h/Skp7MWzi9eHHYqIiPQgG7Y1MKiv6nOnWtKSbjPLBv4AnABMAc4xsymtdnsGmObu04HPArcE2xuBr7r7ZGAGcGWrY3/l7tOD2+PJeg0iyfa1j03kd88u06RKERFJGU2iDEeHSXd0L3N722I4GFjm7ivcvQG4F5gVvYO7b3N3Dx4WAB5sX+fubwT3a4BFwPA4rimSUQb0yePsg0Zw8wuaVCkiIqkRmUSppDvV4unpvjDGtoviOG44sDrqcQUxEmczO9XMFgOPEentbv38aGB/4JWozVcFw1JuNbOiWBc3s8uCISvlVVVVcYQrEo4zDhzBy8s1qVLCY2a9Y2wbFEYsIpJ8qtEdjjaTbjM7x8z+AYwxs0ejbs8BG+M4d6yVP/xDG9wfcfdJwCnAj1rF0Bd4CPiyu28NNv8RGAdMB9YBN8S6uLvf7O5l7l5WUlISR7gi4cjKMr51oiZVSqheM7MZLQ/M7DTgpRDjEZEkWrGhlrEqF5hy7a1I+RKRpHYQuye2NcC8OM5dAYyIelwKrG1rZ3d/wczGmdkgd99gZrlEEu673f3hqP12zTozs9nAP+OIRSSt7VcamVT53OJKjpo0OOxwpOc5F7jVzP4DDAOKgaNDjUhEkmZHQxN98rQoeaq1+R1391XAKmDmHp77NWCCmY0B1gBnE2nYdzGz8cByd3czOwDIAzaamQF/Bha5+y9bHTPU3dcFD08F3t7D+ETSytc+NpHP3P4aM8cV0zs3O+xwpAdx9/lm9mPgLiIdK0e4e0XIYYlIEtTWN5Kfp/eYMMQzkfJTZrbUzLaY2VYzqzGzrR0d5+6NwFXAU0QmQt7v7gvM7HIzuzzY7TTgbTObS6TSyVnBxMrDgPOBo2OUBvyZmc03s3nAUcDVnXzNImlJkyolLGb2Z+DLwFTgM8A/zOzKUIMSkaRYUaWhJWGJ57OFnwGfcPdFnT15UM7v8Vbbboq6fz1wfYzj/kfsMeG4+/mdjUMkU5xx4AjOu+UVTt1/OCO0UpikztvAJUGnx8pgfPcvOzhGRDLQsqoaTaIMSTzVS9bvScItIp3XMqnyx4/pT05Sx91/BYw0s2ODTQ1Eer5FpJtZXlnLeJULDEU8SXe5md0XVDP5VMst6ZGJ9FD7lfanuG8ezy2uDDsU6SHM7FLgQeBPwaZS4G+hBSQiSbOschvj1NMdiniS7n7AduBjwCeC28nJDEqkp/v6xyfy22eXaqVKSZUricyl2Qrg7ksBldER6YY21TZQXJAXdhg9Uodjut39M6kIREQ+MKBPHmeVjWD2Cyv4wjETwg5Hur96d2+IFI4CM8shxroKIpLZdjY1k51ltPytS2rFU71kbzN7xszeDh5PNbPvJD80kZ7tzLIRvLh8g1aqlFR43sy+BeSb2XHAA8A/Qo5JRBLsvU3bGalJ+qGJZ3jJbOCbwE4Ad59HpOa2iCSRJlVKCl0LVAHzgc8RqTqlzhWRbkbLv4crnpKBfdz91VYfRTQmKR4RiTK1dEBkUuWSSo6aqCG2khzu3kykg2V22LGISPIsr9rGpL0Kww6jx4on6d5gZuMIxveZ2elElocXkRT4+seDlSrHaqVKSSwzm087Y7fdfWoKwxGRJFtWuY2T9xsWdhg9VjxJ95XAzcAkM1sDrAQ+ndSoRGQXTaqUJGqpRNWy+uRdwdfziFStEpFuZE11HcOL8sMOo8fqcEy3u69w92OBEmCSux/u7u8mPTIR2UWTKiUZ3H2Vu68CDnP3b7j7/OB2LfDxsOMTkcRxd9whO0uVS8LSZk+3mX3a3f9iZl9ptR0Ad9cSwSIp0jKp8iePL+KPnz4w7HCk+ykws8Pd/X8AZnYoUBByTCKSQOu31jO4X6+ww+jR2hte0tLgasS9SBqYWjqAogJNqpSkuBi41cz6B483A58NLxwRSbTlVdsYp+XfQ9Vm0u3ufwq+/l/qwhGR9nz9YxP57B2vcei4YnrlaFKlJIa7vw5MM7N+gLn7lrBjEpHEUrnA8MWzOM4dZjYg6nGRmd2a1KhEJKaigjzODCZViiSKmfUys3OBq4Avmdn3zOx7YcclIomjpDt88SyOM9XdN7c8cPdqYP+kRSQi7TqrbAT/W7aBimpNqpSE+Tswi8gaDLVRt3aZ2a1mVtmyYnGM588zs3nB7SUzm5bQqEUkbis31DJmkKZqhCmekoFZZlYUJNuY2cA4jxORJIheqVKTKiVBSt39+D047nbg98CdbTy/EjjS3avN7AQi5WcP2bMQRaQrGhqbtdZDyOJJnm8AXjKzB4PHZwA/Tl5IItKRqaUD2G94f5ZVbiM/N4u8nGyKC/LIUiko2TMvmdl+7j6/Mwe5+wtmNrqd51+KejgHKN3D+ESkC7bu2Enf3uovDVuHPwF3v9PMyoGjAQM+5e4Lkx6ZiLSpudk5cmIJF932KhXVdZQW5TP7gjImDilU4i174nDgIjNbCdQTaes9wStSXgw80daTZnYZcBnAyJEjE3hZEVleuY1xJRpaErb26nT3c/etwXCS94G/Rj030N03pSJAEfmwjbUNfO6u16morgOgorqOS+8s55ErDqOkUHVYpdNOSObJzewoIkn34W3t4+43Exl+QllZWZtL04tI52kSZXpor6f7r0SWCH4diG4ALXg8NolxiUg7GhqbdiXcLSqq62hobAopIslEQacKQE0SrzEVuAU4wd03Jus6ItK25VW1HDtZ6zuErb2k+7rg62R335GKYEQkPnk52ZQW5e+WeJcW5bNpewN79c/XMr8Sr5ZOlVi/MF3uXDGzkcDDwPnu/k5XziUie25Z5TYuP1J9pWFrr2Tgb4KvL7Wzj4iEoLggj9kXlFFalA+wa0z30vU1XHTbq6zbUtfBGUTA3ce4+9jga+tbh+/QZnYP8DIw0cwqzOxiM7vczC4PdvkeUAzcaGZzg/lBIpJiW+oaGNAnL+wwerz2erp3mtltQKmZ/bb1k+7+xeSFJSLtycoyJg4p5JErDqOhsWlX9ZLJQ/sxYXA/rrj7DS77yFhO2G9o2KFKN+bu53Tw/CXAJSkKR0RiqG9sIjc7nmVZJNnaS7pPBo4lUrXk9dSEIyLxysqymJMm9yvtz92XHMIP/7GQ59+p4nufmEKfPJWKEhHpiVZt3M5oLYqTFtp7J/66u19jZiPd/Y6URSQiXdYnL4frTpvKE/PX8elbXuGHs/Zl3+H9ww5LRERSbHnlNsaXqHJJOmjv84YTzSwXODtVwYhIYp2w31B+f+4BXP/kYm5+YTnNzarEJrGZWbaZDTOzkS23sGMSka5bVrmNcSoXmBbaS7qfBDYAU81sq5nVRH9NUXwi0kXDBuRz+2cOZmeT89k7XmP9VhUjkt2Z2ReA9cDTwGPB7Z+hBiUiCbGsSjW600WbSbe7f93d+wOPuXs/dy+M/prCGEWki7KzjCuPGs+Xj92by//yOk8vXB92SJJevgRMdPd93H2/4JbI1ShFJCTrNu9gaL/eYYchtN/TDYC7zzKzUWZ2LICZ5ZtZYfJDE5FEmz5iAHddfAj/WvA+3/nbfOoatJiOALAa2BJ2ECKSWM3NDhaZeC/h6zDpNrNLgQeBPwWbSoG/xXNyMzvezJaY2TIzuzbG87PMbF5L/VYzO7yjY81soJk9bWZLg69F8cQiIhF9e+Xw8zOmcciYYj7951dYuFajxYQVwH/M7Jtm9pWWW9hBiUjXrN1Sx7D+6uVOF/EUbrwSOAzYCuDuS4EO1xI1s2zgD8AJwBTgHDOb0mq3Z4Bp7j4d+CyRpYI7OvZa4Bl3nxAc/6FkXkQ69olpw/jN2dP58eML+fP/VmqSZc/2HpHx3HlAYdRNRDLY8qpaxqlySdqIp3hvvbs3mEU+mjCzHCLLA3fkYGCZu68IjrsXmAUsbNnB3bdF7V8Qdd72jp0FfDTY7w7gP8A1ccQjIq2UFvXhjs8czI3/Wc6ld5bz8zOm0tTMbgvu6GPJ7s/d/y/sGEQk8ZZVahJlOokn6X7ezL4F5JvZccAVwD/iOG44kXGCLSqAQ1rvZGanAj8l0nt+UhzHDnH3dQDuvs7MYva6m9llwGUAI0eq8pVIW3Kys/jiMRNYuG4LS9dv46sPvEVFdd2upeUnDilU4t1Nmdmv3f3LZvYPYnSmuPsnQwhLRBJkedU2jpgwKOwwJBBP0n0tcDEwH/gc8DjBMJAOxHqXjtWoPwI8YmZHAD8isgpmXMe2x91vBm4GKCsr0+fmIh0o6duby+58kYrqOgAqquu49M5yHrnisJgrX0q3cFfw9RehRiEiSfHuhlpGFWs1ynTRYdLt7s1mdgfwcrBpibvHk8RWACOiHpcCa9u5zgtmNs7MBnVw7HozGxr0cg8FKuOIRUQ60NDYtCvhblFRXUdDoyqcdFfu/nrw9fmwYxGRxNvZ1ExeTjzT9yQVOky6zeyjRMZOv0ukB3qEmV3o7i90cOhrwAQzGwOsIbKy5bmtzj0eWO7ubmYHEJnEsxHY3M6xjwIXAtcFX//e0WsQkY7l5WRTWpS/W+JdWpRPXk52iFFJMpnZfNr5FFG1ukUyV3VtA/3z88IOQ6LEM7zkBuBj7r4EwMz2Bu4BDmzvIHdvNLOrgKeAbOBWd19gZpcHz98EnAZcYGY7gTrgrKAXPeaxwamvA+43s4uJzLg/o1OvWERiKi7IY/YFZVx6Z/luY7qLC9Rod2MnB1+vDL62DDc5D9ie+nBEJFGWayXKtGMdjRQxs3mteztibUtnZWVlXl5eHnYYImmvudnZWNtA3c5G1m3ewUGjB2oSZcjM7HV3L0vyNV5098M62pYqarNFuu7eV98jJzuL0w8sDTuUHqetdjuegT7lZvZnM/tocLsFeD3xIYpI2LKyjJLCXowcWMD1Ty4OOxxJnYJWi5MdSqSMq4hkqOVV2xhXoj/jdBLP8JLPE/no8YtExnQ/D/wxmUGJSPgmDe3Hove3ss+w/mGHIsl3MXCrmbX8sDcTWbBMRDLUssptjNPwkrTSZtJtZiVAibsvBH4Z3DCzfYF+QFVKIhSRUBw6rpiXl29U0t0DBFVMpplZPyLDDreEHZOIdM22+kb69c4NOwyJ0l5P9++I3aM9HPgWrSqRiEj3MmNsMdc+NJ9LPjI27FAkSczsK21sB8Ddf5nSgEQkIXbsbKJ3ripPpZv2ku79YtVudfenzOyGJMYkImlgUN9ebN7eQGNTMznZqvPaTRWGHYCIJN6KqlrGDNJ47nTTXtLd3mcS+rxCpAfYZ1g/FqzdyrQRA8IORZLA3f8v7BhEJPEikyg1njvdtJd0LzWzE9398eiNZnYCsCK5YYlIOpg5rpiXV2xU0t3NmdltxFgkx901mVIkAy2r3MbBYwaGHYa00l7SfTXwTzM7kw9KBJYBM/lgQQUR6cYOGVPMfa+t5vIjx4UdiiTXP6Pu9wZOBdaGFIuIdNHyqm2ce8jIsMOQVtpMut39HTPbj8iEyX2Dzc8Dn3P3HakITkTCVVSQx7b6RnY2NZOrcd3dlrs/FP3YzO4B/h1SOCLSRZVb6xlc2CvsMKSVdut0u3s9cFuKYhGRNDS1dADzKrZw4KiisEOR1JkAqJtMJAM1NTvYB1WIJH3EsziOiPRgM8cWM2fFRiXd3ZiZ1RAZ023B1/eBa0INSkT2yJrqOkqL8sMOQ2LQ58Ui0q6Dxw5kzoqNYYchSeTuhe7eL+rr3q2HnIhIZlhWVcN4rUSZluLq6TazfGCkuy9Jcjwikmb69c6lvrGZ+sYmeuVosYXuysw+CRwRPPyPu/+zvf1FJD0tq9zGeJULTEsd9nSb2SeAucCTwePpZvZokuMSkTSy/4gBzH1vc9hhSJKY2XXAl4CFwe1LZvbTcKMSkT2xvLKWcerpTkvxDC/5AXAwsBnA3ecCo5MVkIikn5Z63dJtnQgc5+63uvutwPHASSHHJCJ7YNWmWkYN7BN2GBJDPEl3o7tvSXokIpK2Dho9kPJ3q8MOQ5JrQNT9/mEFISJ7zt1panZyVOI1LcUzpvttMzsXyDazCcAXgZeSG5aIpJOCXjk0NjezY2cTvXM1rrsb+inwppk9R6SCyRHAN8MNSUQ6a2NtA8UFqs+druL5V+gLwD5APfBXYAuRsX8i0oMcOKqI11ept7s7cvd7gBnAw8FtprvfG25UItJZyyq3qXJJGosn6T7J3b/t7gcFt+8An0x2YCKSXmaOHcTLyzWuu7sxsxwzM3dfB7wJ5AJDQw5LRPbA8qptjBtcEHYY0oZ4ku5YHzHqY0eRHkY93d2PmV0KVAKrgvvPAKcD95qZFscRyTCRcoGFYYchbWhzTLeZnUBkRvtwM/tt1FP9gMZkByYi6SU/L5vsLKO2vpGCXlrMtpv4MjAOKAQWAaPcfYOZ9QFeA64PMTYR6aTlVbWMLVFPd7pqr6d7LVAO7ABej7o9Cnw8+aGJSLo5cFQR5ert7k4a3L3a3d8Dlrn7BgB33w40hBuaiHRWXYM6RdJZmz8Zd38LeMvMhrj7HdHPmdmXgN8kOzgRSS8zxxXz3JJKjty7JOxQJDHyzWx/Ih0wecF9C269OzrYzG4FTgYq3X3fGM9PAm4DDgC+7e6/SGTwIvKB2vpG8vOUcKezeMZ0nx1j20UJjkNEMsD+Iwfwplam7E7WAb8EfgG8H9y/IepxR24nspBOWzYRKTOrZFskyVZuqGWchpaktfbGdJ8DnAuMabXseyGgEgYiPVCvnGx65WSxdcdO+vXODTsc6SJ3P6r1NjMbGlQyief4F8xsdDvPVwKVZqbVLUWSbFnlNsaVqFxgOmvvc4iXiPSCDCLS89GiBpiXzKBEJH0dMmYgr63cxDGTh4QdiiTHY0SGg6SUmV0GXAYwcuTIVF9eJOMtq9zG4RMGhR2GtKPN4SXuvsrd/+PuM4F3gVx3f57IDPf8FMUnImlm5rhi1evu3iyMi7r7ze5e5u5lJSWaMyDSWcur1NOd7joc0x3Ubn0Q+FOwqRT4WxJjEpE0NrV0AG9VbA47DEme2WEHICKdt3FbA4P65oUdhrQjnomUVwKHAVsB3H0pMDiek5vZ8Wa2xMyWmdm1MZ4/z8zmBbeXzGxasH2imc2Num01sy8Hz/3AzNZEPXdinK9VRBIgNzuLgl45bN6uinLdhZmNM7NewcOFZvZFMxsQZkwiEr/GpmayssAslA+qJE7xJN317r7r3dXMcgDv6CAzywb+AJwATAHOMbMprXZbCRzp7lOBHwE3A7j7Enef7u7TgQOB7cAjUcf9quV5d388jtcgIgl0yJhi5qzYFHYYkjgPAU1mNh74MzAG+GtHB5nZPcDLwEQzqzCzi83scjO7PHh+LzOrAL4CfCfYp1/yXoZIz/Tepu2MHNgn7DCkA/EUdHzezL5FpJ7rccAVwD/iOO5gIostrAAws3uBWcDClh3c/aWo/ecQGbrS2jHAcndfFcc1RSQFDh1XzCNvruH4ffcKOxRJjGZ3bzSzU4Ffu/vvzOzNjg5y93M6eP59YrfrIpJAyyq3MX6wxnOnu3h6uq8FqoD5wOeAx4HvxHHccGB11OOKYFtbLgaeiLH9bOCeVtuuCoak3GpmRXHEIiIJtM+wfixYuyXsMCRxdgZlYi8E/hlsU01IkQzQ3OwMHZDP0ZMGU1VTT3Nzh4MRJCQdJt3u3uzus939DHc/Pbgfz0801sCimMeZ2VFEku5rWm3PAz4JPBC1+Y/AOGA6kZKG0eUMo4+9zMzKzay8qqoqjnBFJF452Vn0z89lw7b6sEORxPgMMBP4sbuvNLMxwF9CjklEOtDc7CxZX8Pn//I6x/7yBU698UWWrK9R4p2m4qlestLMVrS+xXHuCmBE1ONSYG2M808FbgFmuXvrOmQnAG+4+/qWDe6+3t2b3L2ZyCz7g2NdXOWnRJJrxthi5qxQ6cDuwN0XEun0eCN4vNLdrws3KhHpyMbaBi69s5yK6joAKqrruPTOcjbWaqJ7OopneEkZcFBw+wjwW+LrAXkNmGBmY4Ie67OB6JUtMbORwMPA+e7+ToxznEOroSVmNjTq4anA23HEIiIJNmOs6nV3F2b2CWAu8GTweHqrlYhFJA01NDbtSrhbVFTX0dDYFFJE0p54hpdsjLqtcfdfA0fHcVwjcBXwFJEFde539wXRM9uB7wHFwI1B+b/yluPNrA9wHJGkPNrPzGy+mc0DjgKu7vhlikiiTRnaj0XrtoYdhiTGD4h8argZwN3nEqlgIiJpLC8nm9Ki3dcrLC3KJy8nO6SIpD0dVi8xs+jlgLOI9HwXxnPyoJzf46223RR1/xLgkjaO3U4kIW+9/fx4ri0iyZWVZZQU9mL91h0M6dc77HCkaxrdfUurGr8aFCqS5gbk53DDGdP46gNvUVFdR2lRPrMvKKO4QIvkpKN4SgZGT1RsJLIk/JlJiUZEMsrMYFz3rOntFSaSDPC2mZ0LZJvZBOCLwEsdHCMiIfvvsg2s21zHI1ccRkNjE3k52RQX5JGVpUVy0lE8w0uOirod5+6XuvuSVAQnIult5rhBvLRM47q7gS8A+wD1RObRbAW+HGZAItKxB1+v4PAJJZQU9mJ4UR9KCnsp4U5j8Qwv6Q98Hzgi2PQ88EN3V5FekR5u7yF9eaeyJuwwpIuC4XzfDm4ikgE21TZQs6ORUcUFYYcicYpneMmtRCqEtAwpOR+4DfhUsoISkcxgZgzrn8+azXUMH5Df8QGSVszs1+7+ZTP7BzHGcLv7J0MIS0Ti8Pe5a/jktGFhhyGdEE/SPc7dT4t6/H9mNjdJ8YhIhpk5LlI68PQDtdp3Bror+PqLUKMQkU57Yv773PaZg8IOQzohnjrddWZ2eMsDMzsMqGtnfxHpQVqSbsk87v56cHcgMMfdn4++hRmbiLRtwdotjCruQ0GvePpOJV3E89O6HLgzGNttwCbgomQGJSKZY+ygAlZs2Ia706rknGSOTwK/NrMXgHuBp4K1FkQkDT1QXsEZZSM63lHSSjzVS95y92nAVGA/d9/f3d9KfmgikgnMjJED+/Depu1hhyJ7yN0/A4wHHgDOBZab2S3hRiUisTQ0NvNWxWYOGl0UdijSSfFUL+kFnAaMBnJaerLc/YdJjUxEMsbMYEl4zaLPXO6+08yeIDKhMh+YRRuLl4lIeJ5ZtJ5jJg3WJ4sZKJ4x3X8n0vg2ArVRNxERIBjXvULjujOVmR1vZrcDy4DTgVuAoaEGJSIxPfTGGj51gCauZ6J4xnSXuvvxSY9ERDJWy/ASjevOWBcRGcv9OXevDzkWEWlD5dYdNDU3M0wlWjNSPD3dL5nZfkmPREQylpkxdlBfVmzQh2CZyN3Pdve/KeEWSW8Pv7mGU9XLnbHaTLrNbL6ZzQMOB94wsyVmNi9qu4jILiodmLnMbIaZvWZm28yswcyazGxr2HGJyAfcnacXrudjU4aEHYrsofaGl5ycsihEJOPNHFfMTx5bxKdnjAo7FOm83wNnE6leUgZcQKSaiYikiTdXb2by0EJ652aHHYrsofaS7pqURSEiGW/4gHzWbqnTuO4M5e7LzCzb3ZuA28zspbBjEpEPPFBewdkHqTZ3Jmsv6X6dSOmoWO+eDoxNSkQikrEmDinknfXbmLhXYdihSOdsN7M8YK6Z/QxYB6j+o0iaqGtoYun6GqaW9g87FOmCNpNudx+TykBEJPNFxnVvUNKdec4nMsfnKuBqYASR9RlEJA08teB9Pr7PXvoUMcO1N5FyUvD1gFi31IUoIpli5ljV685E7r4KKAR6ufv/uftX3H1Z2HGJSMQjb67hlP2Hhx2GdFF7w0u+ClwK3BDjOQeOTkpEIpKxBvfrTVVNPc3NTlaWemTSnUW6zb5PpIfbgCwzawR+p1WHRdJDRfV2euVkUVLYK+xQpIvaG15yafD1qNSFIyKZbvLQfixct5V9h2vsYQb4MnAYcJC7rwQws7HAH83sanf/VZjBiQg89PoaTjtQtbm7g/aGlxxkZntFPb7AzP5uZr81s4GpCU9EMs3MccXM0RCTTHEBcE5Lwg3g7iuATwfPiUiImpud55ZUcvSkwWGHIgnQ3oqUfwIaAMzsCOA64E5gC3Bz8kMTkUw0Y6yS7gyS6+4bWm909yogN4R4RCTKKys3ccDIInKz41lAXNJdez/FbHffFNw/C7jZ3R9y9++iRRNEpA2D+vZiS91OGpuaww5FOtawh8+JSAo88PpqzijT0JLuot2k28xaxnwfAzwb9Vx7EzBFpIfbZ1h/FqzVKuIZYJqZbY1xqwH2Czs4kZ5sW30jFZvqmDy0X9ihSIK0lzzfAzxvZhuAOuC/AGY2nsgQExGRmGaMLeal5RuZNmJA2KFIO9xd60mLpKnH5q3lpKlDww5DEqjNnm53/zGRsoG3A4e7u0cd84XkhyYimWrG2IG8slLjukVE9tTf565l1vRhYYchCdTuMBF3nxNj2zvJC0dEuoMBffKorW9kZ1OzJgCJZKDmZmdjbQMNjU3k5WRTXJCn2vsptKJqG0UFeQzokxd2KJJAGpstIkkxrXQA8yo2c+AoVRgVySTNzc6S9TVcemc5FdV1lBblM/uCMiYOKVTinSIPvl7B6arN3e2oC0pEkmLmuGJeXq4hJiKZZmNtw66EG6Ciuo5L7yxnY60K2qRCU7Pz4vKNHDGhJOxQJMGSmnSb2fFmtsTMlpnZtTGeP8/M5gW3l8xsWtRz75rZfDOba2blUdsHmtnTZrY0+FqUzNcgInvmoDEDeWXlpo53FJG00tDYtCvhblFRXUdDY1NIEfUs/11axaHjisnWpwrdTtKSbjPLBv4AnABMAc4xsymtdlsJHOnuU4Ef8eFFd45y9+nuXha17VrgGXefADwTPBaRNNOvdy71jc3U64262zKzW82s0szebuN5C1YxXhZ0rhyQ6hil8/Jysiktyt9tW2lRPnk5KnaTCg++XsEZGlrSLSWzp/tgYJm7r3D3BuBeYFb0Du7+krtXBw/nAPH8ls0C7gju3wGckphwRSTR9h85gDff2xx2GJI8twPHt/P8CcCE4HYZ8McUxCRdVFyQx+/PPWBX4t0ypru4QJP6km3z9gY21TYwtqRv2KFIEiRzIuVwYHXU4wrgkHb2vxh4IuqxA/8yMwf+5O4tveBD3H0dgLuvM7PBCYxZRBLo0HGDeHn5RmaMLQ47FEkCd3/BzEa3s8ss4M6g5OwcMxtgZkNb2nBJT83u/PWVVTx4+aFsb2hka91OTaJMkUffWssnp6lMYHeVzJ7uWH+dHmMbZnYUkaT7mqjNh7n7AUR6Sq40syM6dXGzy8ys3MzKq6qqOnOoiCRI2agiXl9V3fGO0l3F6nwZHlIsEqd/zlvHiKI+7NW/NyMH9uGH/1yIKd9OiX/OW6cFcbqxZCbdFcCIqMelwNrWO5nZVOAWYJa77yp14O5rg6+VwCNEhqsArDezocGxQ4HKWBd395vdvczdy0pKNANYJAwFvXJoanbqGjSuu4fqTOeLOkrSQFOzc+fL73LhYaMByMnOYvSgApZX1YYbWA+w+P2tlA7Ip7B3btihSJIkM+l+DZhgZmPMLA84G3g0egczGwk8DJwfveiOmRWYWWHLfeBjQMtEnUeBC4P7FwJ/T+JrEJEuOlC93T1ZXJ0voI6SdPHE2+s4fEIJ/aISv+MmD+Hfi9aHGFXP8EB5BaeXaQJld5a0pNvdG4GrgKeARcD97r7AzC43s8uD3b4HFAM3tioNOAT4n5m9BbwKPObuTwbPXQccZ2ZLgeOCxyKSpmaOK+blFRvCDkPC8ShwQVDFZAawReO501dzs3P7i+/y2aCXu8URe5fwwjv69CGZdjY18/qqamaM0fyX7iypK1K6++PA46223RR1/xLgkhjHrQCmtd4ePLcROCaxkYpIshw4qojfPbs07DAkCczsHuCjwCAzqwC+D+TCrrb+ceBEYBmwHfhMOJFKPP61cD0Hjxn4oaXHC3rl0Ds3m43b6inu2yuk6Lq3ZxdX8tGJJZqs2s1pGXgRSareudnkZGVRW99IQS81Od2Ju5/TwfMOXJmicKQL3J1b/7eSP346din1oycN5tnFlZxRNiLm89I1D71ewXdPbr2UiXQ3WgZeRJLupKl7sW7LDtZUb6eqpp7m5phz6UQkJM8urmT6yAFt9mQfM3kwzyyKWbdAuqiqpp4djc2MGNgn7FAkydTtJCJJ1dzs7DusPxfd9ioV1XW7FtpQ3V+R9ODu3PzCCn537v5t7jO0fz6btjewY2cTvXO1MmUi/e3NNZy6v2pz9wTq6RaRpNpY28Dn736Diuo6ACqq67j0znI21jaEHJmIALywdANThvVjcGHvdvc7bNwgXlquSdGJ5O48ueB9jt9Htbl7AiXdIpJUDY1NuxLuFhXVdTQ0qna3SNjcnT89v5zLjxzX4b7HThnM0ws1xCSR5lVsYe8hfcnP06cHPYGSbhFJqrycbEqL8nfbVlqUT16O3mREwvby8o2MK+nLkH7t93IDTBnaj8Xvb9WcjAR64PXVnH6gJqf2FEq6RSSpigvymH1B2a7Eu2VMd3FBXgdHikiy/fH55Vz+0Y57uQHMjKnD+zN/zZYkR9Uz7NjZxMK1Wzlg5ICwQ5EU0URKEUmqrCxj4pBCHrniMDZuq8fMmDC4ryZRioTslRUbKS3KZ/iA/I53Dhw7JbI65bQRA5IXWA/xr4XrOW7KXpipLewp1NMtIkmXlWWUFPZiSL/e/ODRBUq4RdLAH59fzhUfHd+pYw4ZU8ycFRuTFFHP8sgbFXzqgOFhhyEppKRbRFKmqCCP0qJ85lVsDjsUkR7t9VXVDOrbq9O1ofNyshjcrzerN21PUmQ9w9rNdWRnWVxj6aX7UNItIil14aGjufPlVWGHIdKj/fE/y7jyqM71crc4bnJkiInsuYffqOBTB5SGHYakmJJuEUmpfYf3Z011HZtUp1sSpLnZqaqp14qncZpXsZnC3rmMGVSwR8cfNXEwzy2pSnBUPYe788ziSo6ZPDjsUCTFlHSLSMqdffAI7nttddhhSDfQ3OwsWV/DqTe+yGHXP8epN77IkvU1Srzb8ftnl3HlUfFVLImlf59c3J0tdTsTGFX31/LP4coNtXz35CnkZikF62n0ExeRlDth36E8teB9mpQYSRdtrG3g0jvLteJpnBas3UJeThbjBxd26TwfnTiY599Rb3e8ov85PPqG5/niPW/qn8MeSEm3iKRcXk4WR+xdwjMaFypd1NaKp9W1Dby9ZgsNjc0hRZaebnxuOVcdvWdjuaMdO3kwTy/U32+89M+hgOp0i0hIzjtkJNc8NI+P7bNX2KFIBmtZ8TQ68S4tyqfJnfvLV/PO+hqaHcYP7st+w/uz3/D+7D2kkLycntfntOT9GprdmbRXvy6fa1RxAes219HQ2Nwjv5ed1dY/hw2NTSFFJGFQ0i0ioRjSrzd9e+WwrLKmyx91S8/VsuJpSy9iy4qnE4cU8sNZ+wLQ2NTMsqptzKvYEnci3tzsbKxtoKGxibycbIoL8jK+vvwfntvziiWxHDxmIK+9u4nDxg9K2Dm7q7b+OczLyQ4xKkk1Jd0iEpoLZkbKB7YkRyKdFb3iaVsJck52FpP26sekvfpxZtkI4INEfH7FFh4oXx0ZX+swrqQvR+49iOFFffj8X17/UCKfqYn3sspt1O1sYt/h/RN2zmOnDOHRuWuVdMdhS10DN5w5ja/e/9Zuv1PFBXlhhyYppKRbREJz0OgifvbkYmp27KSwd27Y4UiGalnxtDOiE/EzohLx5VW1OM4ld3x4/O1Dnz80YxczuTHBvdwA00sH8KN/LsTdtZR5O2rrG/nGg/P446cPbPefQ+n+NBBLREJjZpx2YCkPv7Em7FBEyMnOYuJehRT2yok5/nbdljrOu2UOv/73O7y6clPGTNJ8d0MtW+p2Mn3EgISet+VThiXraxJ63u7m+48u4LIjxjGkX29KCnsxvKgPJYW9lHD3QEq6RSRUs6YP4+9z1+Cu0lmSHlrG30YrLcpn+IA+3Hx+GfuPLOKZxes5/8+vcNFtr3LT88uZV7E5bUtg3vifZVzRhbrc7Tl28hCeXqAqJm155M0K+uRlc/y+mjAuGl4iIiHrk5fDgaOKeHHZRg6foLGhEr62Jme2DAc4cu8Sjty7BIAt23cyZ+VGHn5jDT/8x0IGFuRx6LhiDh0/iAmD+35o2EWqJ2iu3rSd9VvrOXDUwKSc/7Dxg5j93xV84ZgJSTl/JltRtY2/vvIed118SNihSJpQ0i0iofv0jFH85PFFSrolLcQzObNF/z65fHyfvfh4UPqysmYHLy/fyK3/W8k762sYXtSHQ8cVc9i4QQwf0Jt3KrfFrLSSrMT7j88v5/MfTU4vN0B+Xjb98nNZv3VHxo53T4b6xiaufWg+1502ld65qlAiERpeIiKhG1VcQFNzpFdOJB20TM7s7PjbwYW9mTV9ONedNpWHrziMb3x8Itlm/PLpJby8YmNKF0hZu7mO9zZuZ8bY4qScv8WxkwfzzKLKpF4j01z3xGLOPGgE40r6hh2KpBEl3SKSFj49YyR3v/Je2GGIJNSIgX0486AR/Prs/RkzqCClC6T86fnlXH5k8nq5Wxw9aQjPLta47hZPL1zPlu07Oe2A4WGHImlGSbeIpIUjJpTwysqN7NipFdqke2prguaWup0J/72v3LqDd9Zv47Dxye3lBigp7EVtfRPbGxqTfq10t3ZzHTf+Zxk/PGVflVGUD1HSLSJpISvLOHnqMB59a23YoYgkRcsEzZbEu7Qon5vPL2PlhlrOunkOt7+4MmHJ959eWMFlR45NWeL3kb0H8cI7G1JyrXTV2NTMNx6cx49m7UvfXpoyJx+mpFtE0sbpB5byYHmFygdKtxQ9QfPFa47ikSsOY9JehZw0dRj3f24G2VnG2TfP4db/dS353rCtnvlrtvDRoMJKKhw3eQj/XtSzh5j89tllHDN5cEJX/ZTuRUm3iKSN/vm5TBjSlzfe2xx2KCJJ0dYEzV452Zw/czT3fW4GeTlZnH3zHP68h8n37P+u4NKPpK6XG2D84L4sr9qWtrXKk+2l5RtY8v5WLjp0dNihSBpLatJtZseb2RIzW2Zm18Z4/jwzmxfcXjKzacH2EWb2nJktMrMFZvalqGN+YGZrzGxucDsxma9BRFLrgpmjufPld8MOQyQUvXKy+fSMUdz3uRn0zo0k37f8dwV1DfEl35tqG3hjVTXHTh6c5Eh3Z2YcMLKIN9+rTul108HGbfVc/+QSrvvUVI3jlnYlLek2s2zgD8AJwBTgHDOb0mq3lcCR7j4V+BFwc7C9Efiqu08GZgBXtjr2V+4+Pbg9nqzXICKpN3GvQjbVNlBZsyPsUERC0ysnm/MOGcX9n5tJn7wczpk9h9kvrOhwsuKt/1vJZw8bE0ryd+zkITzdw4aYNDc71zw0j2+fOJmigryww5E0l8ye7oOBZe6+wt0bgHuBWdE7uPtL7t7yb/EcoDTYvs7d3wju1wCLANXeEekhzj14JPe+ujrsMERCl5eTxbmHjOT+z82ksHcO585+hZtfWB4z+d6yfScvr9i4a6GeVDtodBHl7/asnu5bX1zJ1NIBHDwmOSt+SveSzKR7OBD9rllB+4nzxcATrTea2Whgf+CVqM1XBUNSbjWzolgnM7PLzKzczMqrqqo6HbyIhOe4KUN4dnElO5uaww5FJC3k5WRx9sEjeeDymfTPz+Xc2a/wp+cjyXdzs1NVU8/azXX85NT9QosxJzuLkQP7sKJqW2gxpNJbqzfzwtINXHnU+LBDkQyRzKQ71mdbMWdYmNlRRJLua1pt7ws8BHzZ3bcGm/8IjAOmA+uAG2Kd091vdvcydy8rKUndDG4R6bqc7CyOnTyYfy3oWR9Vi3QkNzuLsw6KJN9FffL4/t8XMLdiM6fe+CIn/Pa/XHzHayxZX0NzSBMaj+0hVUy27tjJD/6xgJ+fPpXsOFcrFUlm0l0BjIh6XAp8qACvmU0FbgFmufvGqO25RBLuu9394Zbt7r7e3ZvcvRmYTWQYi4h0M2cfPJJ7XtUKlSKx5GZnceZBI/j6xyfyxXveTNnS8h05Yu9BPP9O9/502d35ziNv88WjJzCkX++ww5EMksyk+zVggpmNMbM84Gzg0egdzGwk8DBwvru/E7XdgD8Di9z9l62OGRr18FTg7STFLyIhGtS3F4MLe7Fw7daOdxbpoXY2Nad0afmOFPbOJTc7i00hJf2pcH/5aob068VRk1JbIUYyX9KSbndvBK4CniIyEfJ+d19gZpeb2eXBbt8DioEbg/J/5cH2w4DzgaNjlAb8mZnNN7N5wFHA1cl6DSISrgsOHc1dc94NOwyRtNXW0vJ5OdkhRQRHTxrMc4srQ7t+Mi1dX8PDb6zh6x+fFHYokoGSuk5pUM7v8Vbbboq6fwlwSYzj/kfsMeG4+/kJDlNE0tT0EQP46eOL2LJ9J/375IYdjkjaaVla/tI7y6morqO0KJ/ZF5RRHGL5umMnD+FH/1zIaQeWhhZDMuzY2cQ3H57PL8+cTl6O1haUzktq0i0i0lVnlo3ggddXc8lHxoYdisRgZscDvwGygVvc/bpWzxcBtxKZAL8D+Ky7a1hggkQvLd/Q2EReTjbFBXm7VroMw7AB+Wzc1sCOnU30zg2vxz3RfvjPhVx46GhGFvcJOxTJUPpXTUTS2klTh/LY/HWhVWOQtsW5CNq3gLnBImgXEEnQJYHaWlo+TDPHFfPyio0d75ghHpsXaYM+MW1Y2KFIBlPSLSJprXduNjPHFnf7iggZqsNF0Igk488AuPtiYLSZDUltmJJqx00Zwr8Xdo/Sgas3befWF1fy/U/sE3YokuGUdItI2jtvxij+MmdV2GHIh8WzCNpbwKcAzOxgYBTB6sPSfe0zrB8L1m7FPTM/oWpZcKiiejvvbdrOL86YRn5e9xkqI+FQ0i0iaW/4gHzycrJYuaE2qddpeaNdU72dqpp6DWnpWDyLoF0HFJnZXOALwJvAh9Yw1yrC3YuZse/wfry9JvNKfjY3O0vW13DqjS9y+PXPcc1D89ixs0ntgXSZkm4RyQjnzxzFXS8nr7c7+o32sOuf49QbXwx1Zb8M0eEiaO6+1d0/4+7TiYzpLgFWtj6RVhHufo6dPISnM3B1yo21DbuqwUD4Cw5J96GkW0QywsyxxbxVsZna+g91kiaE3mj3SDyLoA0InoNIidgX3D3zuj+l02aOK2bO8sybTNnQ2JRWCw5J96GkW0Qygplxyv7D+dvcNUk5f11Do95oOynORdAmAwvMbDGRKidfCidaSbVeOdkMKsyjonp72KF0SjouOCTdg5JuEckYn9p/OI+8sSahk7PeWV/DNx58i4rNdXqj3QPu/ri77+3u49z9x8G2m1oWQnP3l919grtPcvdPuXt1uBFLKh07eQjPLMqs1Snzcowbzpi2qz1IhwWHpHtQ0i0iGaOgVw77Du/PKys3dek87s5LyzZwyR2v8dtnlnLuIaOYMaaY2ReU7fZG+6fzD9QbrUgXHDVxMM9m2JLwv3p6KQCPXHEYL15zFI9ccRgThxSmRf1zyWxakVJEMsr5M0fxy3+9w4yxxZ0+dmdTM4/PX8fdc95jyrB+fP8T+zBi4Aery0Wv7Fff2Myjb61hn2H9Exm+SI9SVJBHU7OzdcdO+vXODTucDi2rrGHVxloOHjMQMyXZklhKukUko4wr6cv2hkbWbaljaP/8jg8Aanbs5L7XVvPPees4bsoQbr7gQAb0+XAPdsvKfi1WbthO+bubKBs9MGHxi/Q0R+5dwgvvVHHy1PRfzfG6JxZz7QmTlXBLUmh4iYhknE/PGMVfX3mvw/3Wbanjp48v4jO3vUb//Fzu+9wMrjxqfMyEO5ZvnjCZnz25hCaVDRTZY8dmyOqUzy2pZGj/fCbuVRh2KNJNKekWkYzz0YmD+d+yDdS3UVlk4dqtfOW+uVz70HxmjivmgctnckbZCHp1clLkXv17c/Tkwfz11Y4TfBGJbcygAlZX17GzqTnsUNq0s6mZ3z2zlKuP2zvsUKQb0/ASEck42VnGBTNG8u6GWvr2yiEvJ5uBfXJ5cflGbn1xJQPyc7nkI2PZd3jXx2N/9rAxnH3zy5y031AGalKlyB45aPRAXnt3E4eOGxR2KDHdPWcVJ+pvXJJMSbeIZJzmZmfiXv24+I7IYjalRfnccMY0llfW8ONT92P4gPjGescjLyeLLx+7Nz9/agk//dR+CTuvSE9y3JTBPDbv/bRMujdvb+Dvb63lvstmhh2KdHMaXiIiGWdjbQOX3fX6bqtHfvWBtzh52vCEJtwtjti7hM3bG5hXsTnh5xbpCaaPKOLN1dUJrbGfKL/+91KuOmo8eTlKiSS59BsmIhknjGWav3XiZH7y+CKaNalSpNOys4zxJX1ZWrkt7FB201Ii8OhJg8MORXoAJd0iknHCWKZ5xMA+zBw7iAffqEjaNUS6s2OnDOHpNKti8tPHF/PNE1UiUFJDSbeIZJzigrwPrR6ZimWaP3fkWP76yntsqduZ1OuIdEcfmTCI/y3dEHYYuzy3pJJhA/LZe4hKBEpqaCKliGScrCzbbfXIvJxsigvykr5Mc+/cbK48ajy/evodfvDJfZJ6LZHupndONl86dgLvbaolPzcnJX+zbWkpEXjLhQeFcn3pmZR0i0hGar16ZKocO3kw9732HovWbWXy0H4pv75IJmpudpasr+FrD7y1q+LQ7AvKmDikMJTE+y9zVnHS1GEqESgppeElIiKdYGZ8+6Qp/OTxRWlZiUEkHW2sbeDSO8t3qzh06Z3lbKxtSHks1bUN/OOttVwwc1TKry09m5JuEZFOGjOogP2G9+fRt9aGHYpIRgij4lBbfv3vd7jq6PHkZisFktTSb5yIyB646ujx3Pbiu2yrbww7FJG011bFoVQnvkvX17C6uo6jJqpEoKSekm4RkT3QJy+HSz4yht89uzTsUETSXqyKQ787Z39ue3El9Sns7b7uicVce8IklQiUUGgipYjIHjppv6HcX17BssptjB/cN+xwRNJWWxWH3tu0ncvvep0/nHcAffKSm5I8t7iS4UUqESjhUU+3iMgeMjO+c9JkfvzYQk2qFOlAS8Wh4UV9KCnsRVaWMWv6cM47ZBSX3FGe1Pr3O5ua+d2zS7n62L2Tdg2RjijpFhHpgr2HFDK2pC9PLUivlfZEMsWxU4Zw1VHjufSOcjZsq0/KNf4yZxUnTx1GkUoESoiSmnSb2fFmtsTMlpnZtTGeP8/M5gW3l8xsWkfHmtlAM3vazJYGX4uS+RpERDrypWMncNPzy6lrSH0lBpHu4NDxg/jmiZO47M5y1m6u6/iATmgpEXi+SgRKyJKWdJtZNvAH4ARgCnCOmU1ptdtK4Eh3nwr8CLg5jmOvBZ5x9wnAM8FjEZHQ9Oudy/kzRvHH55eHHYpIxtp/ZBE/+dR+XHH3G6zcUJuw8/763+/whaMnqESghC6Zv4EHA8vcfYW7NwD3ArOid3D3l9y9Ong4ByiN49hZwB3B/TuAU5L3EkRE4nPq/sMpf3cT723cHnYoIhlr0l79+PVZ07n6vrksfn9rl8/3zvoaKqrr+OjEkgREJ9I1yUy6hwOrox5XBNvacjHwRBzHDnH3dQDB15jFNs3sMjMrN7PyqqqqPQhfRCR+WVnGt06czP97bGHYoYhktNGDCrjxvAP41sPzefO96o4PaIO7q0SgpJVkJt2xfsNjTu83s6OIJN3XdPbYtrj7ze5e5u5lJSX6D1dEkm/f4f0Z3K8Xzy2uDDsUkYw2bEA+N19Qxk8fX8xLyzfs0Tn+s6SKEUX5TFCJQEkTyUy6K4ARUY9LgQ+tmWxmU4FbgFnuvjGOY9eb2dDg2KGA3t1EJG187WMT+e2zS1O64IdIdzSoby9mX1jGH55bxr8Xdq46UEuJwC+rRKCkkWQm3a8BE8xsjJnlAWcDj0bvYGYjgYeB8939nTiPfRS4MLh/IfD3JL4GEZFOGdAnjzMOHMEt/10ZdigiGa9/fi6zLyjj7ldW8fe5a+I+7q6XV/GJaSoRKOklaUm3uzcCVwFPAYuA+919gZldbmaXB7t9DygGbjSzuWZW3t6xwTHXAceZ2VLguOCxiEjaOOugETz/TlXCS5+J9ER98nK46fwDeWrB+9z9yqoO999U28A/563l0zNUIlDSi/WEVdTKysq8vLw87DBEpAd5471qbv3fSn5/7gFdOo+Zve7uZQkKKyOozZZYGpuaueah+UwY0pfLjxzX5n7f+/vbHDVpMEdNjFlnQSTp2mq3VbRSRCQJDhhZRH5uNi8t27NJYCKyu5zsLH5++lTWba7j508tJlan4Tvra1hTXaeEW9KSkm4RkST5xvGTuOHpd9jZ1Bx2KCLdQlaW8YNP7oNh/ODRBTQ3f5B4R5cIFElHSrpFRJKkpLAXFx06infer2FN9Xaqaup3SxJEpPPMjK99fCLDBuTz9QfnsbOxiaqaepZXbeOqo8czrqRv2CGKxJQTdgAiIt1Vc7MzvqSQS+8qp6K6jtKifGZfUMbEIYVkZWmxDpGu+NyR43ji7XXMXb2Fq++fq78xSXvq6RYRSZKNtQ27Em6Aiuo6Lr2znI21DSFHJtI9lI0auCvhBv2NSXpT0i0ikiQNjU27koEWFdV1NGjhHJGE0N+YZBIl3SIiSZKXk01pUf5u20qL8snLyQ4pIpHuRX9jkkmUdIuIJElxQR6zLyjblRS0jDct1ip5IgmhvzHJJJpIKSKSJFlZxsQhhTxyxWE0NDaRl5NNcUFet5rgZWbHA78BsoFb3P26Vs/3B/4CjCTynvMLd78t5YFKt9QT/sak+1DSLSKSRFlZRklhr7DDSAozywb+ABwHVACvmdmj7r4warcrgYXu/gkzKwGWmNnd7q6ZbpIQ3flvTLoXDS8REZE9dTCwzN1XBEn0vcCsVvs4UGhmBvQFNgGNqQ1TRCR8SrpFRGRPDQdWRz2uCLZF+z0wGVgLzAe+5O4fWqLTzC4zs3IzK6+qqkpWvCIioVHSLSIieyrWwNnWS25+HJgLDAOmA783s34fOsj9Zncvc/eykpKSRMcpIhI6Jd0iIrKnKoARUY9LifRoR/sM8LBHLANWApNSFJ+ISNpQ0i0iInvqNWCCmY0xszzgbODRVvu8BxwDYGZDgInAipRGKSKSBlS9RERE9oi7N5rZVcBTREoG3uruC8zs8uD5m4AfAbeb2Xwiw1GucfcNoQUtIhISJd0iIrLH3P1x4PFW226Kur8W+Fiq4xIRSTcaXiIiIiIikmRKukVEREREkkxJt4iIiIhIkpl765Kq3Y+ZVQGr9uDQQUAmTPjJlDghc2LNlDhBsSZDOsU5yt17VOHqHtBmQ+bEmilxQubEmilxQubEmm5xxmy3e0TSvafMrNzdy8KOoyOZEidkTqyZEico1mTIlDhld5n0c8uUWDMlTsicWDMlTsicWDMlTg0vERERERFJMiXdIiIiIiJJpqS7fTeHHUCcMiVOyJxYMyVOUKzJkClxyu4y6eeWKbFmSpyQObFmSpyQObFmRJwa0y0iIiIikmTq6RYRERERSTIl3TGY2QAze9DMFpvZIjObGXZMbTGzq81sgZm9bWb3mFnvsGNqYWa3mlmlmb0dtW2gmT1tZkuDr0VhxhjEFCvOnwc//3lm9oiZDQgxxF1ixRr13NfMzM1sUBixtYolZpxm9gUzWxL8zv4srPiitfHzn25mc8xsrpmVm9nBYcYoHcuUdlttdtepzU6OTGm3M7nNVtId22+AJ919EjANWBRyPDGZ2XDgi0CZu+8LZANnhxvVbm4Hjm+17VrgGXefADwTPA7b7Xw4zqeBfd19KvAO8M1UB9WG2/lwrJjZCOA44L1UB9SG22kVp5kdBcwCprr7PsAvQogrltv58Pf0Z8D/uft04HvBY0lvad9uq81OmNtRm50Mt5MZ7fbtZGibraS7FTPrBxwB/BnA3RvcfXOoQbUvB8g3sxygD7A25Hh2cfcXgE2tNs8C7gju3wGcksqYYokVp7v/y90bg4dzgNKUBxZDG99TgF8B3wDSYpJGG3F+HrjO3euDfSpTHlgMbcTqQL/gfn/S6O9KPizD2m212V2kNjs5MqXdzuQ2W0n3h40FqoDbzOxNM7vFzArCDioWd19D5L/O94B1wBZ3/1e4UXVoiLuvAwi+Dg45nnh8Fngi7CDaYmafBNa4+1thx9KBvYGPmNkrZva8mR0UdkDt+DLwczNbTeRvLF16zSS2jGi31WanjNrsxMmUdvvLZECbraT7w3KAA4A/uvv+QC3p8XHahwRj62YBY4BhQIGZfTrcqLoXM/s20AjcHXYssZhZH+DbRD5OS3c5QBEwA/g6cL+ZWbghtenzwNXuPgK4mqAHVdJWRrTbarOTT212wmVKu50RbbaS7g+rACrc/ZXg8YNEGvN0dCyw0t2r3H0n8DBwaMgxdWS9mQ0FCL6G/lFVW8zsQuBk4DxP39qa44i8gb9lZu8S+Uj1DTPbK9SoYqsAHvaIV4FmIC0mEMVwIZG/J4AHgLSclCO7ZEq7rTY7idRmJ0WmtNsZ0WYr6W7F3d8HVpvZxGDTMcDCEENqz3vADDPrE/zneQxpOHmolUeJ/HEQfP17iLG0ycyOB64BPunu28OOpy3uPt/dB7v7aHcfTaSBPCD4PU43fwOOBjCzvYE8YEOYAbVjLXBkcP9oYGmIsUgHMqjdVpudJGqzk+ZvZEa7nRlttrvr1uoGTAfKgXlEfuGKwo6pnVj/D1gMvA3cBfQKO6ao2O4hMm5xJ5GG5WKgmMgM+KXB14FpGucyYDUwN7jdFHacbcXa6vl3gUHpGCeRxvovwe/qG8DRYcfZTqyHA68DbwGvAAeGHaduHf4cM6LdVpudtDjVZifn+5p27XYmt9lakVJEREREJMk0vEREREREJMmUdIuIiIiIJJmSbhERERGRJFPSLSIiIiKSZEq6RURERESSTEm3pA0zczO7Ierx18zsBwk69+1mdnoiztXBdc4ws0Vm9lwy4zKz0WZ2bucjFBFJDLXZnbqO2mxR0i1ppR74lJml1WpXZpbdid0vBq5w96OSFU9gNNCpBryTr0NEpCNqs+M3GrXZPZ6SbkknjcDNwNWtn2jdu2Bm24KvHzWz583sfjN7x8yuM7PzzOxVM5tvZuOiTnOsmf032O/k4PhsM/u5mb1mZvPM7HNR533OzP4KzI8RzznB+d82s+uDbd8jUqD/JjP7eYxjvhEc85aZXRfj+Xdb3rzMrMzM/hPcP9LM5ga3N82sELgO+Eiw7ep4X4eZFZjZY0EMb5vZWfH8YEREYlCbrTZbOiEn7ABEWvkDMM/MftaJY6YBk4FNwArgFnc/2My+BHwB+HKw32giy8SOA54zs/HABcAWdz/IzHoBL5rZv4L9Dwb2dfeV0Rczs2HA9cCBQDXwLzM7xd1/aGZHA19z9/JWx5wAnAIc4u7bzWxgJ17f14Ar3f1FM+sL7ACuDa7T8kZ0WTyvw8xOA9a6+0nBcf07EYeISGtqsz9MbbbEpJ5uSSvuvhW4E/hiJw57zd3XuXs9sBxoabjmE2m0W9zv7s3uvpRIQz8J+BhwgZnNJbJ0bDEwIdj/1daNd+Ag4D/uXuXujcDdwBEdxHgscJu7bw9e56ZOvL4XgV+a2ReBAcE1W4v3dcwn0nt0vZl9xN23dCIOEZHdqM2OSW22xKSkW9LRr4mMsyuI2tZI8PtqZgbkRT1XH3W/OepxM7t/muOtruOAAV9w9+nBbYy7t7wB1LYRn8X5Olof0/r6re16jUDvXUG6XwdcAuQDc8xsUhvn7/B1uPs7RHp75gM/DT5eFRHpil+jNltttnRISbeknaBH4X4ijXiLd4k0PACzgNw9OPUZZpYVjBkcCywBngI+b2a5AGa2t5kVtHcSIr0SR5rZIItMdDkHeL6DY/4FfNbM+gTXifVR5bt88BpPa9loZuPcfb67Xw+UE+ntqQEKo46N63UEH7Nud/e/AL8ADuggbhGRdqnNBtRmSxw0plvS1Q3AVVGPZwN/N7NXgWdou0ejPUuINLRDgMvdfYeZ3ULk48w3gt6YKiLj+Nrk7uvM7JvAc0R6Kx539793cMyTZjYdKDezBuBx4Futdvs/4M9m9i0ibxItvmxmRwFNwELgCSI9Qo1m9hZwO/CbOF/HfsDPzawZ2Al8vr24RUTipDb7A2qzJSZz7+jTExERERER6QoNLxERERERSTIl3SIiIiIiSaakW0REREQkyZR0i4iIiIgkmZJuEREREZEkU9ItIiIiIpJkSrpFRERERJJMSbeIiIiISJL9fwZByTjvgFHcAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "pd.options.mode.chained_assignment = None\n", "\n", "# Select clustering df with the coords information\n", "df_clustering = df_ac_camden_2018[['location_easting_osgr', 'location_northing_osgr']]\n", "\n", "# Define the range for the number of clusters\n", "cluster_range = range(6, 20)\n", "\n", "# Create lists to store metric scores\n", "silhouette_scores = []\n", "davies_bouldin_scores = []\n", "\n", "for n_clusters in cluster_range:\n", " \n", " # Fit GMM model using differetn cluster numbers\n", " gmm = GaussianMixture(n_components=n_clusters, random_state=42)\n", " gmm.fit(df_clustering[['location_easting_osgr', 'location_northing_osgr']])\n", " \n", " # Generating labels\n", " labels = gmm.predict(df_clustering[['location_easting_osgr', 'location_northing_osgr']])\n", " \n", " # Saving labels to clustering df\n", " df_clustering[f'labels_{n_clusters}'] = labels \n", "\n", " # Caculate Silhouette Coefficient\n", " silhouette_avg = silhouette_score(df_clustering[['location_easting_osgr', 'location_northing_osgr']], labels)\n", " silhouette_scores.append(silhouette_avg)\n", " \n", " # Caculate Davies-Bouldin Index\n", " db_index = davies_bouldin_score(df_clustering[['location_easting_osgr', 'location_northing_osgr']], labels)\n", " davies_bouldin_scores.append(db_index)\n", " \n", " print(f'Number of clusters: {n_clusters} ', f'Silhouette Coefficient: {silhouette_avg} ', f'Davies-Bouldin Index: {db_index}')\n", "\n", "\n", "# Plotting the metrics with cluster numbers\n", "fig, ax = plt.subplots(1, 2, figsize=(12, 6))\n", "\n", "sns.lineplot(x=cluster_range, y=silhouette_scores, marker='o', size=20, ax=ax[0], legend=False)\n", "ax[0].set_title('Silhouette Coefficient')\n", "ax[0].set_xlabel('Number of clusters')\n", "ax[0].set_ylabel('Silhouette Coefficient')\n", "\n", "sns.lineplot(x=cluster_range, y=davies_bouldin_scores, marker='o', size=20 ,ax=ax[1], legend=False)\n", "ax[1].set_title('Davies-Bouldin Index')\n", "ax[1].set_xlabel('Number of clusters')\n", "ax[1].set_ylabel('Davies-Bouldin Index')\n", "plt.show()\n" ] }, { "cell_type": "markdown", "id": "68140001-a409-4daa-ae92-924ba081becb", "metadata": {}, "source": [ "__We can get the optimal cluster number is 12 based on Silhouette Coefficient and DB index from our pre-definded cluster number range.__" ] }, { "cell_type": "code", "execution_count": 327, "id": "b2e735a7-4e39-484a-8892-f06d0988f557", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Plot the data with clusters\n", "plt.figure(figsize=(10, 8))\n", "# Select the labels with cluster numbers is 12 as the optimal result in this analysis.\n", "g = sns.scatterplot(data=df_clustering, x='location_easting_osgr', y='location_northing_osgr', hue='labels_12', palette='tab20', s=50, legend=True) \n", "g.set_title('Road accident clusters based on GMM')\n", "g.legend(title='Clusters', loc='center right')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "5446fa48-a725-4a5e-9b1f-423c66888d02", "metadata": {}, "source": [ "__Further discussion and considerations:__\n", "\n", "1. Do you think the accident clusters generated in this analysis (12 big clusters in Camden Town) align with your expectations?\n", "2. In other words, do you believe it is reasonable that all the accidents are assigned to 12 major clusters in Camden Town? Alternatively, can you provide insight into whether these clusters have significant implications for road safety policies?\n", "3. Could you explain why these accidents were grouped into these clusters? Are weather conditions, road conditions, or driving behavior factors involved? Further analysis should be implemented for a deeper explanation.\n", "4. Consider using density-based clustering (DBSCAN) instead of partitioning clustering methods for another analysis. Could you use the DB index to help determine the optimal cluster numbers or eps? If not, please review the definition of this index and thinking why. \n", "5. Different research areas often have predefined parameters for clustering. Therefore, do the research for domain knowledge/background can help you understand your data science project." ] } ], "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": "3.12.2" } }, "nbformat": 4, "nbformat_minor": 5 }