diff --git a/4_logistic_regression/1-Least_squares.ipynb b/4_logistic_regression/1-Least_squares.ipynb index 7494851..e4777ad 100644 --- a/4_logistic_regression/1-Least_squares.ipynb +++ b/4_logistic_regression/1-Least_squares.ipynb @@ -36,12 +36,12 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": 6, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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" ] @@ -124,19 +124,19 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "a = 3.074602, b = 3.761519\n" + "a = 2.854105, b = 3.832234\n" ] }, { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -243,23 +243,23 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "epoch 0: loss = 964.462432, a = 3.605114, b = 1.371685\n", - "epoch 100: loss = 856.680487, a = 3.044999, b = 3.374801\n", - "epoch 200: loss = 900.182987, a = 3.261635, b = 3.670704\n", - "epoch 300: loss = 841.107710, a = 3.082096, b = 3.703232\n", - "epoch 400: loss = 848.034818, a = 3.023324, b = 3.703601\n" + "epoch 0: loss = 879.929586, a = 3.129702, b = 1.380542\n", + "epoch 100: loss = 786.897748, a = 2.842720, b = 3.588741\n", + "epoch 200: loss = 785.461171, a = 2.820253, b = 3.758918\n", + "epoch 300: loss = 786.608664, a = 2.812600, b = 3.755006\n", + "epoch 400: loss = 783.592455, a = 2.838910, b = 3.758545\n" ] }, { "data": { - "image/png": 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L1pU8NeMB5k2+hX5rFvDPnB/R86YnuPaKe8k/+ZywhTe6oqmcZuAiCZTq3ej86OjPYMfufdywbRG/WPwqjTatY1etU3j8koE8e94VfFEjtLFUJcsiuqKpnAK4SIKlcjc6v8r7fh3yqi+Dlx+FbdsgO5vlvx3FXSe259NvDh/3/IqWRYb3yj5mDRwy74qmMgrgIpI4W7e6wpt//KOs8Oaxx8g/4zxG5K+h+JuKs1PCLYvoiqZyCuAiEr9whTd33eUyS4DRo+ZXmVp4Zt2aFRZBKWCHpwAuIrEpLbwZO9Zt33rSSXDHHa7wptzGdVXddKyZVY0eLRsqZTBKykIRkegUF8OTT7ptXK+8EjZtckG8oMBVUYbZdbSym46lvS4XrN9ZYcqghKcALiKR2bED/vAHF6Bvvhnq1HGFN5984pZLKmlXVlF65YTrOvDevZeSl9NIKYMx0BKKiFRu/XrXU/K55+Dbb10ThbvvjqppQiQ3I5UyGD0FcBE5nrVuXXvsWNfZvUYNGDzYbS7VMuJ2AMeo6makUgajpwAuImXKd7xp0MAtm9x6a9I73ihlMHoK4CIZpMK9yvfscU0THnnkSOENTz4JAwemtOONUgajowAukiHC7ez36DPzaDvuPc557SVXeHPxxfDYY/DjH6vjTQAogItkiKN39mv7+UZ+sehVeq9/BwxlHW9ChTepou5F8VEAF4lAOgSaz776hks/WcLQRbPosm01+75Xk6dzr2JKbl/ee+xnKR+PX/b6DvK/rQK4SBV+l7+Kqe9vxYYeB65CsLgYnn+eBc88xFk7t1F4UkMe6vFzXj6vF/tOrE0jj9L0/LDXt19+icRKAVykEvnLC48J3qUC0VRg5063nj1xIuzcySkt2zGs63/z2jkXcLCa+9H3Mk3PD4U7fvglEg8FcEk7ibwkHj1nw3HBu5RvKwQ3bCgrvDlwwBXeDBtG3YsvptuK7bzvk+UCPxTu+OGXSDwUwCWtJPqSuLIfZF9VCFrrOrmPGeMKb048EQYNciXuRxXe+ClNzw+FO374JRIP5QlJWqnskjgWFf0gG/BHhWBJCbz0EnTq5Pbefv99GDnS7cs9aVLMVZOpkJfTiIf7taNR3ZoYyja1SuUvmKC3wNMMXNJKoi+Jw80SDXBDl6bezmT37nVNE0oLb84915PCm3h5fUUQ9OpPBXBJK4m+JPbdD/i2bWUdb/budYU3EydC794qvImR179E4qEALmlleK9shs/4kJJDZbces6qZuC6JK/oBj/ZmaVw3V5cudfuTTJ/uHv/kJ67wJjc3lrckaUIBXNJP+bSRitJI4hDtzdKYbq4ePgxvvukC99tvu443t9/uOt6cdVbi35QEjq65JK2MnrOBksPHRuySwzbhXV2ivVka1fOLi90NyDZtoG9f2LgRRo92yydjxyp4yxGagUtaSVVeb7Tnieh4ucIbOnaEqVPdcklWVtxjlvSjAC5pJVV5vdGep9LnV1B4w8UXR9zxJlpB3v9DymgJRdJKqvJ6oz3Pcc+3lu7b1zDjrVEuV3vKFJcCuHYt/POfLqc7icF7xKxVFBYVYylbj89fXpiU80nyaAYuaSVVaX/Rnqf0+Lg319Dhg7ncuuw1WhZ+5Dre3H8//OpXcNppCR1jRYK+/4eUUQCXtJOqvN6ozrN3L3kLXiZv0iOuSvLcc+GJJ1y5e4oLb4K+/4eUUQAXSaZt2+DRR11WSWnhzd//7mnhTdD3/5AyWgMXSYZly+CGG+D734fx412LssWLXT53376eVk0Gff8PKaMZuGSMpGdehCu8+Z//ccU3PsrdTvR9AmW0eMdYm4QytQrk5ubaJUuWpOx8IqXKV0KCm3UmZPe7Awfg+eddKuD69dC4sQvav/gFnHJKWge4pH6ucoQxZqm19rh9E7SEIhkh0dvMAq7Y5sEHoWlTGDrU3YycOhU2bYK77z4SvNM5ZS8pn6tETAFcMkJCMy82bICbb3aBe+RI6NwZ5s93G079938fUzWZ7gFOGS3eqjKAG2OaGGMWGGPWGmPWGGNuDx0/1RjzL2PMx6E/6yV/uCKxqaxCMiLWwr//DVde6Qpvnn0WBgxwhTevvw49eoQtvEn3ABf35ypxiWQGfhAYZq1tDXQBfmWMaQ3cC8yz1rYA5oUei/hSzJkXBw/CtGluln3JJfB//+cKb7ZscXtyt2pV6bene4BTRou3qgzg1trPrLXLQl/vA9YBjYCrgCmhp00B8pI0RpG4Rd2+a+9el/539tnQv797/MQTrgjngQfg9NMjOm+6Bzg/tEXLZFFloRhjmgELgbbAVmtt3dBxA3xV+rjc9wwFhgI0bdr0/C1btsQ9aJFIRZ0BUr7wpnt3t7FUnz4x527Hk4WSzhksErmKslAiDuDGmDrAv4E/WWtnGWOKjg7YxpivrLWVroMrjVBSKaoUt2XLyjreWAvXXusCd6dOKR51GaXoSam40giNMVnATGCqtXZW6PAXxpgzQn9/BrAjUYMVSYQqM0AOH4Y33oBLL4Xzz4fZs13hzSefuHVvD4M3pH8Gi8QvkiwUAzwFrLPWjjvqr2YDg0NfDwZeS/zwRGJXUabHrl17YPJk1/GmTx/4+GPX8aagwBXj+KRqMt0zWCR+kZTSdwUGAquMMStCx+4DRgHTjTE3AluAnyZlhCIxKr9pU739exi4/E2GrHgDvi6CnBx44QX46U992fFGm05JVaoM4Nbad4GKdpbvmdjhiCTO8F7ZjJi1ijM+38KNS/K5ZvV8ahz8js8vuhQe+G2Fudt+UTr+8mvg6ZLBIvHTZlaSnqwlb98n/OCd8Zy+8F+UnFCdOR1/RO3f3E3Pa3p4PbqIpKo5hQSXNrOS9HLwIMycCWPGwJIlUL++63Zz660R526L+E1FWSiagUt62LfP3Zh85BFXJdmiBTz+uOt4U6uW16MTSQoFcAm28oU33bq5x3EU3ogEhQK4RMU3lYHLl7vCm5df9k3hTVV889lJ2lAAl4iVrwws3dsaSE0gOnwY/vd/3fr2ggVQpw7cdptrntCsWfLPHwfPPztJS7rGlIh5Vhl44IBb327b1jUD/ugj+Otf3fLJ+PG+D96gqkpJDs3AJWIprwzctQseewwmToQdO6BDB18X3lRGVZWSDArgErGUVQZ+9JGbWU+ZAsXFrqP7sGG+L7ypjKoqJRm0hCIRS+re1tbCO+/AVVe5jjdPP+3ak61ZU7bhVECDN6T/vuDiDc3AJWJJqQwsLbwZOxYWL3aFN7/7nSu+SaPCm8o+O2WnSKxUiSne2LcPnnoKJkwoK7y5666MK7zRnt8Sibj2AxdJmIICuOceaNIE7rzTdXbPz4f1612n9wwK3qDsFImPllAkNY4uvDl8uKzwpnNnr0fmKWWnSDwUwCV5Sgtvxo6F+fMDVXiTKspOkXhoCUUS78ABt75dWnizYUPgCm9SRdkpEg/NwCVxdu1yOwD+/e9lhTfPP+8Kb773Pa9H50va81vioQAu8StfeHPFFXD33YEuvEmlvJxGCtgSEwXwFEm7XF9r4d133fr27NmutH3gQJcK2Lq116MTyQgK4CmQVjvRHTwIs2a5HQEXL4ZTT4Xf/tYV3vzXf3k9OpGMopuYKZAWub779rmim3POgeuug6Iit9HUtm3wxz8qeIt4QDPwFAh0rm9BQVnHmz174KKLXCDv2xeqVavy2zNV2i2ZiS8pgKdAIHN9V6xw69vTpqnwJkpptWQmvqYllBSoKNe3R8uGdB01n+b3vkHXUfPJX17o0QhDrIW33oKePSEnx5W433YbfPKJq6BU8I5IWiyZSSBoBp4C4XJ9e7RsyMylhf6YpR04AFOnwrhxsHYtNGoEf/kLDB0KdeumdixpINBLZhIoCuApUj7Xt+uo+RXO0lIWwMsX3px3Hjz3nLtJqcKbmAVyyUwCSQE8Com8MeXpLO3jj13hzbPPlhXeDBsW+KYJfjG8V3bYLWJVHi+JpgAeoUTfmEr5LM1aeO89d2PytdfKCm/uvBPatKny25VVETmVx0uqKIBHqLIbU7H8YKZsllZaeDN2LCxaFFPhjbIqoqfyeEkFZaFEKNFLHnk5jXi4Xzsa1a2JARrVrZnYLiylhTctWrg17S+/dN3dt26NuvBGWRUi/qQZeISSseSRlFlaYaErvHnyybLCm/Hj4yq8UVaFiD9pBh4h3+/b/OGHrp9ks2Zun5LLLoP333ed3vPy4qqarOiXVPnj+csL/ZXXLpLmNAOPkC9vTFlb1vFm3jyoXdutbd9+OzRvHtdLH33Tsm6tLLJOMJQcLmuAXf6Xl9bJRVJPATwKvrkxVb7w5swzYdQoV3hTr17cL18+GH+1v4Ssaoa6NbPYU1wS9pdXom/yikjVAhPAlcYG7N5dVnjzxRdJK7wJF4xLDllqn1idFSMvC/s9WicXSb1ABPCMvzwvX3hz+eWu402SCm9iCcaqPhRJPd/fxMxfXsiw6R9mXhpbacebq6+G7GzXJLh/f1i9umzDqSRVTUZ60/Jovr/JK5KGfB3AS2feh6wN+/dpeXl+8CC88gp06QLdusHChXDffbBliwviEVRNxiuWYJz0vHYROU6VSyjGmKeBPsAOa23b0LFTgZeBZsBm4KfW2q8SPbhwa7FHS6vL83374OmnXfHN5s2u883EiTB4sMsuSaFYM258c5NXJENEsgb+LPB34Lmjjt0LzLPWjjLG3Bt6/JtED66yGXbaXJ4XFsLf/gZPPOEKb7p2jbvwJhEUjEX8r8oAbq1daIxpVu7wVcAloa+nAG+ThABe0Y2xasYE//L8ww9d/vZLL7mON9dc43YE/MEPqvxWZeSICMS+Bn66tfaz0NefA6cnaDzHqGgtduxPzwtmwCotvPnhD6FDB7fJ1K23wsaNMH16xMF7xKxVFBYVYynLyFHVo0jmiTuN0FprjTHh7zICxpihwFCApk2bRvXavqx+jMW335YV3qxZE1fhTTIKZjSjFwmmWAP4F8aYM6y1nxljzgB2VPREa+0kYBJAbm5uhYG+IoFei929261t/+1vrvCmffu4C28SXTBTUY79ki1fsmD9TgV1ER+LdQllNjA49PVg4LXEDCdNbNzo9iRp0gR+9zvXIPhf/3Kd3gcOjKtqMpYc7cpUNKOf+v5WLdOI+FyVAdwY8xLwf0C2MabAGHMjMAr4kTHmY+CHoceZrbTjzdVXw7nnwuTJcP31sGqVK7z54Q8TUniT6IKZimbu5S+V0r5wSiSAIslC6V/BX/VM8FiC6eBBePVVl1HywQeu481998Ftt0XVNCFSib4vUFGmTzhpWTglEmCB2AvFl77+2hXejB/vCm/OPtttMjVkSNILbxJ5XyBcazfD8TNwSLPCKZE0oAAerdLCmyefhKIiV3gzbhxceaWnhTexCjej79GyITOXFqqruojPKYBHqrTwZto07KFDLGh9EX/rcyU72uQwvFk2eQEM3qXCzehzzzpVqYUiPqcAfpTj8qEvO5e8Hatd4J47F2rX5pNrB3LzqRfxcZ3T3Del6da2gU7fFMkQvt6NMJWOrnDMOljChQtn0+byi+CKK1zXm4cfhm3bGNT+hrLgHaIMDRHxgmbgIaPnbODEvV/x8+VvMXjZ65z2zVesa9iMP/7kN/z+hQeP5G6r84yI+IUCOMDGjfzylXFcu2outUq+5d/NO3Jn52G8d9Z5GGP4/VGFN+o8IyJ+kbkB3Fr4z3/c+nZ+PtefUJ381hczuVMeHzVsduRp5QNzuLQ7ZWiIiBcyL4CXL7ypVw9GjGDexdcw8p0dVQbmtNlgS0QCL3MCeGnhzYQJ8OmnxxXeXAF82zCyXfmUoSEifpD+AXz79rKON0VFcOGFbvYdpvBGgVlEgiR9A/jKlWUdbw4dgn79XMebLl28HpmISEKkVwC3FubMOabwhptvhjvugO9/3+vRiYgkVHoE8G+/hRdfdHuSrF4NZ5zhCm9++cuoO96IiARFsAP4l1+Wdbz5/HNo1w6mTHH7cMfRNEFEJAiCGcA/+cRt4/rMM7B/P/Tq5VqVJahpgohIEAQrgP/nPzBmDOTnQ/XqcMMNcNddbuYtIpJhghHAX30V/vpXeP/9I4U33HabW+sWEclQwQjgU6fCjh0p63gjIhIEwQjgTz4Jdet63vHmuP3CVUIvIh4KRgCvX9/rERzZL7x0r5TCNG3kICLBoYYOERo9Z8MxG12BGjmIiLcUwCOkRg4i4jcK4BGqqGGDGjmIiFcUwCM0vFc2NbOOvYmqRg4i4qVg3MT0ATVyEBG/UQCPgvYLFxE/0RKKiEhAKYCLiASUAriISEApgIuIBJQCuIhIQCmAi4gElAK4iEhAKYCLiASUAriISEApgIuIBJQCuIhIQCmAi4gEVFwB3BhzuTFmgzFmozHm3kQNSkREqhZzADfGVAMmAlcArYH+xpjWiRqYiIhULp4ZeGdgo7V2k7X2O2AacFVihiUiIlWJJ4A3ArYd9bggdOwYxpihxpglxpglO3fujON0IiJytKTfxLTWTrLW5lprcxs2bJjs04mIZIx4Angh0OSox41Dx0REJAXiCeCLgRbGmObGmO8B1wOzEzMsERGpSsw9Ma21B40xtwFzgGrA09baNQkbmYiIVCqupsbW2jeBNxM0FhERiYIqMUVEAkoBXEQkoBTARUQCSgFcRCSgFMBFRAJKAVxEJKDiSiP0o/zlhYyes4HtRcWcWbcmw3tlk5dz3BYtIiKBl1YBPH95ISNmraK45BAAhUXFjJi1CkBBXETSTlotoYyes+FI8C5VXHKI0XM2eDQiEZHkSasAvr2oOKrjIiJBllYB/My6NaM6LiISZGkVwIf3yqZmVrVjjtXMqsbwXtkejUhEJHnS6iZm6Y1KZaGISCZIqwAOLogrYItIJkirJRQRkUyiAC4iElAK4CIiAaUALiISUArgIiIBZay1qTuZMTuBb4BdKTupPzUgsz+DTH//oM8g098/RPcZnGWtbVj+YEoDOIAxZom1NjelJ/WZTP8MMv39gz6DTH//kJjPQEsoIiIBpQAuIhJQXgTwSR6c028y/TPI9PcP+gwy/f1DAj6DlK+Bi4hIYmgJRUQkoFIawI0xlxtjNhhjNhpj7k3lub1mjGlijFlgjFlrjFljjLnd6zF5xRhTzRiz3BjzutdjSTVjTF1jzAxjzHpjzDpjzAVejynVjDF3hn4GVhtjXjLG1PB6TMlkjHnaGLPDGLP6qGOnGmP+ZYz5OPRnvVheO2UB3BhTDZgIXAG0BvobY1qn6vw+cBAYZq1tDXQBfpVh7/9otwPrvB6ERx4B/tda2xI4jwz7HIwxjYBfA7nW2rZANeB6b0eVdM8Cl5c7di8wz1rbApgXehy1VM7AOwMbrbWbrLXfAdOAq1J4fk9Zaz+z1i4Lfb0P94ObcfveGmMaA72ByV6PJdWMMacA3YGnAKy131lrizwdlDeqAzWNMdWBWsB2j8eTVNbahcCX5Q5fBUwJfT0FyIvltVMZwBsB2456XEAGBjAAY0wzIAf4wOOheGECcA9w2ONxeKE5sBN4JrSENNkYU9vrQaWStbYQGANsBT4D9lhr/5+3o/LE6dbaz0Jffw6cHsuL6CZmihlj6gAzgTustXu9Hk8qGWP6ADustUu9HotHqgMdgcettTm4bSUy7V5QPdzsszlwJlDbGDPA21F5y7pUwJjSAVMZwAuBJkc9bhw6ljGMMVm44D3VWjvL6/F4oCtwpTFmM24J7VJjzAveDimlCoACa23pldcMXEDPJD8EPrXW7rTWlgCzgAs9HpMXvjDGnAEQ+nNHLC+SygC+GGhhjGlujPke7sbF7BSe31PGGINb+1xnrR3n9Xi8YK0dYa1tbK1thvv3n2+tzZjZl7X2c2CbMaa0y3ZPYK2HQ/LCVqCLMaZW6GeiJxl2IzdkNjA49PVg4LVYXiRlPTGttQeNMbcBc3B3np+21q5J1fl9oCswEFhljFkROnaftfZN74YkHvgfYGpoErMJ+JnH40kpa+0HxpgZwDJcZtZy0rwq0xjzEnAJ0MAYUwCMBEYB040xNwJbgJ/G9NqqxBQRCSbdxBQRCSgFcBGRgFIAFxEJKAVwEZGAUgAXEQkoBXARkYBSABcRCSgFcBGRgPr/CXhh3arQuCIAAAAASUVORK5CYII=\n", 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\n", 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\n", 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\n", 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" ] @@ -1441,24 +1441,24 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "epoch 0: loss = 2.47402e+07, a = -3.30002, b = 6.91887, c = 4.30695\n", - "epoch 500: loss = 1.09272e+06, a = -29.2101, b = 226.526, c = 431.351\n", - "epoch 1000: loss = 366835, a = -24.1553, b = 158.837, c = 599.169\n", - "epoch 1500: loss = 135985, a = -21.2759, b = 120.282, c = 694.733\n", - "epoch 2000: loss = 63728, a = -19.6362, b = 98.3262, c = 749.154\n", - "epoch 2500: loss = 41779.5, a = -18.7024, b = 85.8231, c = 780.145\n" + "epoch 0: loss = 2.56475e+07, a = -3.94206, b = 6.99091, c = 4.31571\n", + "epoch 500: loss = 1.02019e+06, a = -31.101, b = 240.081, c = 422.652\n", + "epoch 1000: loss = 336249, a = -26.2534, b = 175.167, c = 583.595\n", + "epoch 1500: loss = 114625, a = -23.492, b = 138.192, c = 675.243\n", + "epoch 2000: loss = 42869.2, a = -21.9195, b = 117.136, c = 727.434\n", + "epoch 2500: loss = 19664.8, a = -21.024, b = 105.145, c = 757.155\n" ] }, { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -1509,7 +1509,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 12, "metadata": {}, "outputs": [ { @@ -1518,12 +1518,12 @@ "text": [ "X: (100, 1)\n", "Y: (100, 1)\n", - "a = 2.773500, b = 5.311307\n" + "a = 2.946639, b = 4.011924\n" ] }, { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -1580,7 +1580,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 13, "metadata": {}, "outputs": [ { @@ -1589,7 +1589,7 @@ "array([800., 90., -20.])" ] }, - "execution_count": 11, + "execution_count": 13, "metadata": {}, "output_type": "execute_result" } diff --git a/4_logistic_regression/2-Logistic_regression.ipynb b/4_logistic_regression/2-Logistic_regression.ipynb index 6b4d30d..3e338a4 100644 --- a/4_logistic_regression/2-Logistic_regression.ipynb +++ b/4_logistic_regression/2-Logistic_regression.ipynb @@ -262,7 +262,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 7, "metadata": {}, "outputs": [], "source": [ @@ -294,10 +294,13 @@ " data_index = list(range(self.data_num))\n", " for i in range(self.data_num):\n", " rand_index = int(np.random.uniform(0, len(data_index)))\n", + " \n", " error = self.label[rand_index] - \\\n", " sigmoid(sum(self.data[rand_index] * self.weights + self.b))\n", + " \n", " self.weights += alpha * error * self.data[rand_index]\n", - " self.b += alpha * error\n", + " self.b += alpha * error\n", + " \n", " del(data_index[rand_index])\n", "\n", " def predict(self, predict_data):\n", @@ -309,12 +312,12 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 8, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", 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" ] @@ -340,20 +343,20 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "accuracy train = 0.866667\n", - "accuracy test = 0.850000\n" + "accuracy train = 0.891667\n", + "accuracy test = 0.825000\n" ] }, { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -429,7 +432,7 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 11, "metadata": { "scrolled": false }, @@ -467,7 +470,7 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 12, "metadata": {}, "outputs": [ { @@ -545,12 +548,12 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 13, "metadata": {}, "outputs": [ { "data": { - "image/png": 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FO7A7bZx07bGMmjo0Yvn45DjOueXUqF5x2HY1BaGIVrMOfirdh3QhpUPyj1rX4bbz2Px/8Oq2p+nUO/tHbSMxNSZD+VsiNOCmtunT3sQ8398hPYd2453851kxay21FR6GHNW/od1PNC6860y6Dszl9XveY+e6PdEXkrLFPN324tk/vdzmUuGmCKHQe0R3hBBc8o9zue+cxw6qOs0Z5+Dk64/7UfuO8eslJqYe4xfFZrcx9sQRbV5+wmljAHjo4qei5slalkQRP6/XC4CkRf2HlvB7/ezbWkDnPjkMGN8HBG0e7BOK4LzbTmPklFCJtGGZaErrD4GqYB1PbfmS74o3oAjBsdlDuKb3FOK1WCXcrwGJiImpx/j1029Mz2bTxyaePZ68VTvZu6VFLZF2QyjiR3naz/3lVdI7pdF1QCfcCa6oLYaikZqVwrm3nsbXBat5astXlARqSFRdDM5LIfX7IIMnDGDyRUfginc1rKNbBpctfpYiXxWGDH1vn+xdxprK3bx22HUoIhb1+zUQ83xj/OpJz0nj+Csm8fXL3zV4v4qmkJadQue+Oayet/6XORAZCgFIKVutVmvK0i9XIRSBZtdaFoJvgqGazNi7lIc3fk5AhgbrakwfC7K9OP1lLPm/lbz70Cc8s+xBkjOSAJhbvJGKgKfB8EKoEm5fXTlLy7czNj1689EYvxwSsGIDbjH+F7juicv403NX0XdMLzr3zeGcv51CvzG9ePehT6gsrA5bVnNorSqO/VgC/iBHnD6WhB/Rh01aEt2vY+omQm35lVM6BL6/ZbHv2Uzu3/BJg+FtwKkQODcNnzdAWX4F//nLKw2zttYWUmeGt0MCCFomebVFWNLClL9AqCZGCwjMNn7am5jnG+OgEEIw6fwJTDp/AgDFu0u5rN8fQ73cGmF32jjnllPxVnn5/IVvW237frBYhsWs1+b95O20lotc97cszJFxSLWZ5epM3P8IhVos02LOmwsoyCvikbn30Nmdhku142tigG2Kyvclm3h26ywsaTE0pSu3DjyVLnHpP/l8Yhwcodbxh6Z1VMzzjfGT2LF2d33ubDhBv87yr9fgqakjNSsJV8L/3gCTlapijHAjbVG8njoT23c1xN2Wj7rZH+YXbV6Sxw1jb2Ny1mCcqg3RaK6KQLcM1lXuwZAmFpJVlbu4fPF/qNFb1w+O0b5IKbCk0qZPexMzvr9BTMPktXve44wOl3G861z+esw97FzfTIpYG9m+ZhfvP/IZM//7LbWVnobp2d0zMaKU4yqqwpZleXzz6jwKd5SEdH3/x4q/rHQN9EiPV1vuJfH8nbieKkHdGkBESb7YsWY3xVuKeWnsNQxL6YoqFFSh0DcpB02omDTqO4ckaBp8kb/i5zydGM1gSqVNn/bmJ4cdhBCdgdeATEJe/AtSyieEEKnAu0BXYBdwlpQyUvg1Rrvz8B/+w/z3FxHwhV53V89Zzx/H38ELax4mq+vBCb9IKXn8quf59s3v0QMG0pI8dtXzDDlqALe/82e6DuhMz2Hd2bosDz14wAhbVrj2w/6Ksh+bpdDeSJp/FlhugffhzsgUDZxNbro6E/d9hYhA6+ewYeFmThgwmefGXEHA1BFCMDN/FY9u/jxiWb+ls602sr19jJ+XkJ7vofEK2sOcG8BNUsr+wFjgOiFEf+AWYLaUshcwu/7vGD8zZQUVzHv3hwbDux/dH+TDxyJv+tZY8sVK5ry9gKBPDzOaa+Zu4Iaxt2LoBvd9fguHnTIKza6h2lRyemU1CI835ddgeFtCAv5L0rG6OpBJan0u8IFjti2ra/WukQrIbDup2SkN0xyqDbui0SMhMywMsR+nYqNfYvSuGTF+TsT/rucrpSwk1LMIKWWtEGITkEOopcZR9Yu9CswF/u+n7i9Gy+zdnI/daYvQYzB0ky3L8lpcV0rJFy98wzv/+oTq0hp6j+iBUEWz6VyVRVX8MGMZR5wxjjve+QtBfxA9oKOoCqenX9Zu5/RLIQFjfDxmXyeixkQmqqAIMCXoFjgE6BIpm/eapQrSreC9K4vBkwdEzB+Y1JleCVlsrsknaIXiFQoCt+bg+JzhP9/JxYhKKNXsf9fzbUAI0RUYBiwBMusNM0ARobBEtHWuFEIsF0IsLy0tbc/D+V2S0zMrqhCOqil0H9ylxXVfu+d9nr/pNYp3leL3Blj7/UbWzdvU7PJBv87uDQeE0O1OO3FJcbjiXYw+4dAZErW+/FhzaKEwR5PBbGkX6EfFIx2Cxg6NtIO2zEv8LftIuHAnrkeKQjFfNWR0scAY4UYYzXvvVgcNz/Nd0LrGsTdQETFfCMGTIy/l5E6jiNMcOBSNIzL78+q4a4nTWtbPiNH+HEpth3YzvkKIeOBD4E9SyprG82SogD7qFSulfEFKOVJKOTIjo3l9gRhtI6NzOh0n9EDawn9am8PGGX+Z1ux6/roA7z/8aYSwuWVZzUo4OuMc5PaL/qo87qRRtKau2LjzsaIq7ZIT7HA7OOL0sZz9t5O5+uGLsDttmN0cSJvAilOQNoF+RDy+m7Komd4FY+CBijQRBBGUiDqJ0CW2BR6cL4YcArXEQDUFMkUjcHxS1ItZAmYvJzJZQ5cGVjO1y27NwbldxzM4ORdDWiwq3cr07XPwGgefjmdJi/JALX6zbcpzMSJpD0lJIUQfIcTqRp8aIcSfWlqnXfJ8hRA2Qob3TSnlR/WTi4UQ2VLKQiFENlDSHvuK0TLPrl3MgrOSiDfTSVxQhtAt9Nw4/vrCdXTq3bHZ9Yp3l6I0U3Bgd9pCMeQmtsQIGhTtKiEY0LE3STfbsXpniy3chIBrHruUBR8vYd/WAjr2yMLn8bNp0dbm12nDYF2gLoA70YVm13jr/o8J1AURfhu1T3VGqbWwOtpCA2kA8SpK5YFUhaZnLwIS+1c1+C9MY/CqBGoHpbDHX0bgigzsc2sRNU0KJByC4HGh6jYJ3Lj8ZV4ddx057tSwxWp0H5cu+k9DA05TWszMX8X22mJeHHt1mzWBvy1cxyObPqPWCMmDHtdxKDf3m8Z2TzFbagro6EphVFqPWBlzC4QkJX962EFKuQUYCiCEUIF84OOW1mmPbAcBvAhsklI+2mjWp8DFwIP1/5/xU/cV4wB7a6sp83vpk5yO2xbyIP2GztNrF+NTLHznd6H0vFywQiXAn9kKiVTrPUB6TmqzgjUDD+/LKdcfxwt/e529mw9oNxi6yev3vM/iz1fwyNx7GjoKA2R1z8TushH0RffI7C4HcYku4pPcFO8spXhnCSBaFLtpy2Cdw21n6cxVVBZXN6TAKft03A8X4/1XDrjqXx99FrYFtah7IyvQwjAlf+48lXOnT6TOCPDi9jnMLFiNfKg3yi07CQbq1zcgcGYK5hB3w6o1uo8HN8zgqVGXNkzTLYOHNsygtt7wNkyXJts9xWyo3sfA5M6tnufKip3cu+6DsF5yXxasZkHJZrxmACsoMP0qaQkuXjniStKdia1u8/fKzxDznQRsl1Lubmmh9vB8xwMXAuuEEKvrp91GyOi+J4S4HNgNnNUO+/rdU+n3cdWcj1lbVoSmKJiWxc0jjuDyASPZ66lGaew1CQEqWFKyurSw+Y0CcYluxp04gu8/WBwxr0PndMaeOJLkDkncfPTfCdQdMFgBX5Dtq3ex/Os1jD5uWMP0SedP4JU732nW+EopWTpzJXPf/aHx1PrjDgmzI2lzV+P9CCGoLqsJyz0WgJoXwPVwMcHTU0CX2L+sxvb9gXxlm9MWtYNFdm4Hzhl1FBAKF9zQ5zhu6HMcTITCcys468l/YHkMjEEuZGrk7bSkfBvnL3ySK3oew/iM3ly9dDobq/Y1G5LY6SkJM76WtFhesYNiXzX9kzrRIyE0dPLy9u8imngGLYOygAf/njiCpS5QJBWW4KS8V/nmD1cRZ4/sTfd7J6Rq1uY3g3QhROOOxC9IKaM1yTwHeLu1jbVHtsMCmh/8nfRTtx8jnGu++4RVpQXolgX1dunhlfPpnpTK8IyO6GZ0Y9UlMbnVbTfXlPK7dxZy3ZOXsX7B5qiqZj6Pn7XzNoQZ38TUBB757h7uO/dx9m0NVzpzuOwMnzKY795Z2OyxnHTtsXz6zNetHnNT0nJSyN8amS8rAPsiL/ZF3oh5ihoSmL/7lIcI+oJYpoUQoQHEG55uoTWQJpAj49Flyw+IbbVF3LHmHQ7P6Mu22sKwAoumdI0/MO5R4q/mqiX/pTLoRSKxpMW49N7cP/Rc8usiB/MAgqVOgmVOkALM0HGXV+jc+tnXPHl68zH/3yuh8uI2G98yKeXIlhYQQtiBk4BbW9tYTNvhf4gCT80Bw9sIn6Hz3/VLeWvqOZzcoz+f7diE3zzg+TlUFcuSHPbef+gYl8h1Q8YxsVP3iO3nrd4Zdb9CCEr3lpOalYzNroWq1Rphd9lJ65gasV7PYd3416w7eOqGF1n5zVqMoIE70c2pfzqe0/54AqemXBL9RGVIQc3utOHzHJznW5BXfFDLQ6jv3PCjB/H0kgd4/uZX2bVuL90G53LhXWfSd/QB5bFCXyVv7VrA+qLdpG4WHJXZH2wSIqurIwhaBnOKm1d9E0C85uS2lW/hNQMMSelKeaCGAl9FmI/8Q+lW3t29iEHJuRT4KiM86GCRC6wmxkQK5mzZgU/XcdnacLC/Kw7K820LxwErpZStXogx4/srRUoDjJ2gJCDULAB21FRgNTOKVeoLeXT3jZuCU9V4f9s6TClJtDuoDQZYXLwXS0oKvLVcO+cT7h4ziXP6DAnbRk6vLEr2lEVs2zRMUrNTOOyU0Tx9w4sR81VV4ejzDo+YXlZQwdXD/4a3uq5BvtHQDSzTwp3gQrWpEV2RARRF0LlPxx/VKPPHFHE4XHb2bSvkzpMepLK4GkVRWDN3I+NP2d1gfLfXFnH57Gcxl1XheKyIvYpgDd/jlGDdloUxIu6g9xt23EBp4ECS0MKyLVGXC0qDD/cs5rGRlzCvZCM+M9hgflWhIM3ohkQgqAvGjG802rnC7VzaEHKAmLbDIUVKE2kWIC1P2HTL9yWyZByy4kxk6WSs8vMo8+7lT/M+b/B6Mx1ejs7YQ5/4ClQhcKoaL65fRq0e4B/jJrPm/BtZeva1jMnshGFZYUbbZxrcv3wuRhMP+oI7z8ThCo8LOtx2jr10Iu4EF063g4e/u4fs7pk43A6ccQ7Sc1J54Ks7SEqPHND54JHP8Hl8Ybq5fm+A9//9KXU1PqZdE30I8ISrpjBq6lBsjl/GN+g7phe3TPkHRTtK8Hv81NXUEagL8OyfXmbLsjx2rtvNH0ffhnbGJhwPFCL8ElFnhT4+C/c/CxE1P667xo+hxvCR7khgQKPYsILguI5DiU+OntWZFucm1e2KmP57Z3+2Q3u0jhdCxAGTgY9aWxZinu8hw6r7BGrvB+kHTKRtKGhdARV8HwONcj711by08d/UBLsgkPxjwEJOy9lG0FLQhGSrJ4VLlx/LQyvLeXTVAl6bchYjMnNwqBorSwsaXk1VYdVfRALdsij01tA5IRnTslhXXozVN5n/e/NGnvvzK5TnV2Bz2Jh2zbFcfv95DYfSfXAXXt32FHu3FGCZFrn9csKyHBqzZu6GqHFkm8PG7o37uPqRizGCBl9On4NlWSiK4IQrp3D9U5chhKD3yB4s+2p1m1v9NIfNEVnxtx/NrnHkmeN45saXIvq5Bf06Hz72OUu/XIW/uq5F/8g2v5bgCckHJkhJq4nOP5JMRxK3r36H1RW7Gr4aC8m3heu4+9hTufP9+QR0A0uCIgQOTeXeE46JtbVvhvYKO0gpvUBaW5ePGd9DgAz8ADV3AY3at+vLQh8UiBiQMfi+xEXQMjmv82ZO6ZiHUzVxqiHD1j+hnIcHz+OKFccSAK6b+ymLzgrli2a64+nh2sLd/X+ge1w1XsPGS7sG8sLOkSQ7XKwoyeeq2R/jM3QQArui8uzCWxia2AG7y46qRlb2CCHI7du6DkF290y2R8n31QM66TmpqKrKH5+9kqsevpjK4irSOqY25Avv2ZzPmrkbf5LhdcY5uGn6NVimxWNXP4/fE1nEcPR5hyMtGTXEIS1J3updGEGj5RdTQ0Jdk9+sJeWen8hObwm7vKURA31+S+e7yjV8fc2lvLxkBSv2FNA1LZnLx46kb1asgCkasR5uvzOk93nCDG8Y0UfCs5w+1tfApV3X49aaDHipFoen5ZOgBag1HNQE/eRVl9MrOZ3bhqYyUPkGlxpaJ8Gmc2X3dQxPj0cCF816H69+IHXMC1w2+yMWnHkVriiG92A48+aTWPrlyrDUNJtDY8D4vmR2OWAMnG4H2d3Cq8+3LM1rc8Wboip0HdSZ/K2FDftyxjnoMbQbh582BiklHz85k53r94QdC8B3by3gu3cWRm0p5HA7SMpIZO/m/JYPQBMYI+tjvlKGslB+Rn1uo4XuFwW+SjIT47ll8pE/3wH8hpCAEWsj9DvC3Nf6Mk34Q7d1uFSNeC16UYBE4K43sFJKtPqqplFxM3Aq4cbapRocnrKUL3eujdo63bIsnlr9A+vKig6qtXpT+o3pxd9euZ6kjEQcbgc2h41RU4dx94c3t7puWk5qs2/tTSvxnHEOHvzqTu795P+YcPpYRkwZwnVPXs6/Z9+FZtOw2W08Mu9ern7kEroNyg0z6nrQCOX3ShlW7uxw2+nYI5PJF0zAGd+8ELx0CoJHJ2B1c4QMb5kREuJp51d8UaKjbvWDv3nDqwmFEamRWSwxWuZQianHPN9DgW0EmPk05+U2ZWNNKju9CZzbqxsLyrpwUsct2JRwo1gedFIcCFVXZcUl0DWxXs7Q2B7VDgihUekvJRglLzhgmby1ZTXvb1tHitPFK5PPpGdym0NZYRxxxjjGnzqakj1lxCfHkZDStp5rQycOICktkUBdMMwrdbjtDDqiP6tnr0NKSY+h3bhp+jWkdEgi5ZjBDD9mcNTt2R02TrxqMmu/38jOdZHC8g63gzNumsb21buoLfcw4YyxTL3saISAtx/4hLKA3lABKLWQcpkxxI1+TCLGyPqqNgviHi7G90CnNv6ybUMU6yRctTt0t5rgvzCV4GnhqX0KApfq4KJuR7Tjnn8HyFjY4XeFiL8O6Z8FtNy2XLfgmpWTWVTeEQQoYis9E49kWk4RFj4UAphSIWAp3LH+KOI0B3ZV4bmjTzkwuGLrC4F8IoKn0mRMuoVNkUQrIgtaFkHLos6jc+5X77D4rGtQmxlYaw1VVSPCCq2hKAqPzP07/zj7Mbav3oWiChLTErjl9RsZfER/9GDIGLriDq49kao1fw69hnXnwjvPjJj+9NIHePmOt5n/0RKkClWTnHjOSgR7Y0k0iW1uDe7tFnHOREqCNRHb+VFIibrRhwhKqH/pcb5egZVjxxhz4EF2eEYf/tJvGpmu5PbZ7++EQymmHjO+PxJploH/C6RVibCPA/voNo8mC60LMv5a8DxGQ5laFF7cOZgfyjvitw7kZq6rMDl98Xlc12s3Q5J2kx7fn33GNI7srnKGK47Jub1wagd+VhF/PTKwgMYxZgsHinAzSL2dI9MPY15pJ3wN+wgfKZJAnaGzqGgPh3fs2qbzay865Gbw1KL7KS+sJOgLktWtQ8N3bLPbsNkPPmd1ysVHseCjJREaxVJKhk0aGHWdpPRE/vTcVfzpuaswLJOT5j2EJ1AbvlBAkvBuLbe8ej3WgET+tuqNn5qk0YC6yYcxxEVwciLSJrDPrcX+UWWY8bUpGh3dKS1sJUZzxDzf/yFkYCGy6lqQFhBA1r0C9tHIhH+A90nwfwPCBq4zEfHXIESkTqtQc5DCCTKy3BXAZ6q8vrtfmOGFUKBiQ1WQa5dl49JySbSrfHlsPpfkfA8iESHPBg6IeAtbf4qdT1Nacju940up0p0U+uLol1iOTbF4ethsPi3owXv7erO1NpUKPTwXVBgSNc/L27u/p9vFieR0iqxkq6rw8NHL81n+/VZSOyRy+qUTGHZYTywpKfN5SbA7cGktG0rdMvl0xyZm7NiIU9U4t89QjsrphhCCtOz2MypDJw7khKsm89l/ZiEtiaopSAl3vX8zDlfrerqaonJT32nctubtA8I4Emw2jQfn3snQ7r3wGoF2M7zoEmNcPIHLXGAXoIQG99QN4c02t3tar+zz6waKALsWu+33cyjF1MVPGVBpb0aOHCmXL1/e+oKHECl1ZMk4kE1fK10g7PXGdP8AlwLCBSIDZADQQwbbPhjiLobKy2ka95USXto1gEe2jiJgqcgWXolUYfHaqC8ZllxSn3YmAAck/A0l7oKG5U789FU2lpc05PtumPIyLjXS4/44vyd3bhhPnRkylM5Cg87vexCWRDEBCadffgRX/OW4hnWqKjxce/IT1Nb4GnJ6HS4bI/40kk/te6kJ+pESpnXvG6q+i2KETcviwlnvsaq0MJTyBrg1G+f3Gcr13UewYeEWElLjGTC+T7M5xT6PD7vTHhLkaQN7t+Sz7KvVuBNcjD91dJtj0QDnfv842+vCFVIFcFhGHx4bcTGf7F3GAxs+bh8DHLDqhSmanLduQSPN5hxXKhMzB3Bip+F0jw8P8eyuqOK2z2axal8BAsFh3XL557TJZCa0/Zx/jQghVrSmtdAaSX0z5eEvnN2mZWce+dRP3l9jYo/AFpAyAMHF9QZzDEJxI/0z6w1pU3z10xsbUytkjJt6t8G5oU8Uw7qwrCOPbh2J32r9pzk+ayc94yuZU5KL31KZkJ5PhsNHoOo+pm9J5+ohkyn317GtqowhyUVckLuJZJsfm4g+HHR81g5e3jWAPE8yfkOj8wceNH+4Cfn45QWMObwPg0eHRtU/enl+mOEFqEyxeMm/CWkeOL/Pd27Bp+s8e/QpEfv9bt8OVpTkE2g0+Fdn6Hz00Kcs+OIF7A4bUkrik+N56Js7w3SJV3yzhievnU7x7hJUTWPqZRO56pGLI/SFAXZ4inl710L2eMsYntqNM68+klRH2wzQos+W896/Z1BWVsX2f8eHuls0QgLLy3cAIQ2IdnNpgjLk8TZFC5+W76vg7V0LeH/PYm7ufyIndxoFgCcQ5OyX3qbaH6ivcpQs3LGbc195l1nXXYrWQhzfsCzeXrGW91auw7QsThrUl4vHDP/NlSjHYr6/Miz/11D1NxAKISNpItU+YGykYeQjcq2D3Ev4LSolXL96UqP4a7TlBd3iqri621qOytjDovKOvLRzIHneZEypcFOv5ZzdeQtrCz9l1OatXD94DOd1XsdNvZbiUAxUBQxLRBRgGRbYFYv3xn7Oe3t788hHo6O2y7EMi6/eX9ZgfJfP3xpRxVY+1olscmUFTIPZ+7ZT5vOS7grXQXhqzQ9hhhfAtbGG5M8LMIIWRn3nY7/Hz63H3cdreU8jhCBv1U7uPvWhhtxd0wjy1cvfUVvp5bY3/xi2vSVl2/jryjfQpYkpLTZU7+ODPUt447DrWx2k+uDRz3jlrncJ1AVCbYfMHhHGF0DTBZZl0dedjVu1U2e2ohXcFhLUUOpaU6KML5hITEvn4Y2fcXTmQByKnYe+/Z7aQDCsvNyUkqo6H9/n7eTo3j2a3fX1733Kol178dfLcz47fynfbtnOu5ee86MHX391yN9ID7ffAlLqWFU3Q9UNhLxZL0gPSB8Yq2ne8P50LAQ1RnTNVYGkT3wFQ5KK+fSwTzg1ZxsZTj/HZ+3krTEz6ZdQQcDSeGTbSGYU9KBat1MV8PPoyrn8tfcS3FrI8AJoSihaGaj3TL2GRqXuxAKcqsn5uZtI2K0grMiLUgB1jQarUjMiNR2CyWpU42BTVIq84QNVJXUe1pdHxiuTvytGBCNDMlWlNWxdEfIw337gowi94KAvyMKPl1BZXNVoPck/13+E39Ix6wsUgpaBR/fxfN63EftujM/rbzC8AMIC25zaUDigMX6LuG+8TIu/gAe6/gPndbvQNvuibLF5lH1BnM+U4L59H/Z3KxC19Q+kZjqMNIdumby5bRHHPPUSH63eEKHhAaCbFnsqqpvdxtqCIhY3MrwAAcNge1kF322Lrn73v8j+mG9bPu1NzPg2QdY+Dv6Zh2TfqpB0j4t+QwxILOPtMTP554AfiNMMtPo8X02RuDWDewaERMkDlso/No5jaWU2ALppEmwqMUioKW++L4E3d/fj/o1jmDjnbNaXh6rOZhV3pXSsys6LE9h7Shy+rANxVEuFRRkFfLb5JczAek675HAcrnBP3V1oRn0JMCyLbknhA3aLivZgVyNfwBSvGfVlUFEEdTWhFL09m/KjFoHYHDaKdx9oxloeqKUyGDmwaSL5obT5tkX799E0Pc31fCnaOl/IAHtMCFrYFnnRn9tL0K8jLYmZ58V9Wz5Kftse1urqOuJv2IP9q2psq3w4364g/qrdiAqj9ZWbYCF5edccSn21jeRHJcJmgqi/blSFPpnpzW5j1d4CzCgKcXVBnVeXrGDJrr0/qQDn18ShMr6xsEMjpJTge5MDA2a/PHf0XcTVKyfTI74aTVhsqElFCMEd/ZaQbA+QZIveZLFvQgUKFhYKeqPaVhOFaMqMUkK3uBq21Q7n60X90aotHs2fwM2nzeOmtUeiJ0kQKsFUBW83GzkzPMTtNkjq4Wf65TOQQiFYDkN753D5n//ES48tpmOnWiZOyiO7p8L7Wic+L+zUULrp0mxcNXA0cbZwzz7eZkeN4iV7RqTg3OlFaeL9moZF3zEhmce+o3uyZ3N+RGmwHtDJ6ZXd8LdTszdrKBJsLecJp2YlR+gXi4Ak7q4CzGwbVkcb2p4gotSIfN7oEvvHlfivbyXHWUrcjxUjAgeOUQQlmCaON8rx33hwOdIQ6oChpfkIFruxpflw5noR9Q9so8xN12BXxnaN3q5owfbdzFi7KarHDLBiTwFXvzuDnumpvHrhmbibpPxJKbGk/J8ITUgEZhTn5JfgN298pZRs2lNCtdfPwK6ZJLgP3Gxb95Xy4ldLycsvo0+nDC4/biTdlIN7VWxPLAljUov4/qh3idN0QGJKwYrKLDq5QrKTphRoIopHYmpRBw4sBNVBO25VDzPC++3d5Fwb/651UOXzsSE/kwvnTMMf1yhsoITaqxceH8eAilL+e9Es4u0HjJE0d3PC1CeYMu06VN9tCEyEMBjDTq7r1YELlpxAoiOBqwaN5vSekXm0h3fsihqlwWPNhAwS55dhL/Y3GGDNpnLdE5c2FFacc+upzHt/ET7PgRxmh9vBiVdNDsteiNecHJbRmx9Kt4aJ0ThVG6fkjObTevH5I3O6kulOCDuOjE5pDJzQj3XzNqI3MsKKqqCUmlBi0nNYN/b586mrDdfrECYou1r3fEW5iaiOzD4RJtiWeptVAWlxmyooThMtKYCriwfRKAnE2cHPqJy4qHnpT3+/iOk/LMenN++AmFJSF9TZXFzGk/N+aNCRCBgG//52Pu+vWk/AMOif3YG/Hz+JwR2zfsQZ/HIcqgG3X/+j6SdQUF7Nafe8yhWPvc///fdzptzyAq/OWgbAym37uOTf7zB75TZ2FlUwa8VWLvzXu6wvGt7M1n6+r0rK0Gf/W14Hp484zSBOM0m0GUzssI8OzjqWeU7imbwh1Jnh6VQ+U+WN3f2JLqMluGjZcRT54/AYNszGcVzhQo0/m+dunEh2sgeXPUitQ426HdOtYPZTiLOHYqwlfhebalIJmoJSXwVW3W0oIoAQ9U0r8dHdXcK7vQz+5unJWJkW9WZ3qBp/VPuiegyEzwx9CVIiNUH+X3pTPi0bSxMoqsItb9zIcZcf6EyV0zObJxb+kxGTB+OMd9IhN53L7z+Xqx6+KGI/dw06gwHJnXAoNuI1B3ZFY0h8X+5buIxbF37F3xd/yxEfvMDz65ZGrHvnu39h6KRB2Bw2XAlO3Iku/vzCVXwVeIevgu9wz8d/RY8inSk1MAa1rqErnYLmWj1L94+77qQJplfDkVMXZngBTCy+LFyFv8mAYLm3jucXLGvR8DYmaJp8um5Tw99/+Wgm761ah98wkMCGwhIufu0D9lRU/ahz+CWQMhZ2aHeklNzw9CfsLakKG+l9/ovF9M3N5NEP5uFv5MlYUuIPGjzy9SRevngjoYqw/espkHAz1L0N5t52P9b9NkkToIjoFW+asHhyo8Wi8uFkOP0Ner4OxeLLwm48uq359MOddclMmHs2o1MKSbIFEULh0cHzmVU6mDtmLadTfDx/PnsR3UQlF6+fQlEwevrVltpU1tek8ejWkSyuyMYmLCwJI1JKeGbYbBxN7ITAR3X+2zx1/RpMw+SIM8fx15evC8vVNQ2Tz69/m27VXur6JGA5FaSqYGQ4sBf6iFtbjctp5+hzD+fIMw8jYBrM27eTmmCAcdm5dBvUhQe/vrNhe/meGrZWldEjKS0sjSrB5uKFMVexy1NCoa+KTu50jv3oVeqM8AG7x1ctYHx2LgPTD3hr8clx3P/FbVQWV1FdVktOr6yw6rr0nDSOPHMc8z9a3JB5IQRgV1FPbD6uemAHKsYQN9qqOhr//NIhCJ6U3Pr60VCAGidqp+ZK2AXVwTqcjcTzV+4twK6qUfU+mmN/XDi/qob523cRaFKrHjQNXl68kruPP/pgz+AXQ7aTYRVCJAPTgYGEjMdlUspFzS3/mzW+eQXlFFXURrTd8QcN3p6zirz8yHY5ABv3eBFp7yA9z4GxFWz9Q1VqWk8sJRuqb6V5OcifTkuXQf/EYhaWZ3HHhsN5ZOtIusTVsK8unrKgu9FSjcuDJSk2P1W6A4nCksqQBq9dgcPnZlOp2wGDLVVV/GfHQJ4e9i3X91rFXRvGYzXx9EUA0pYo/PGjUzBt4OwpqOkb2lWNYUdECYUAeGtoCAvM/3AJgw7vx/FXHNMwf9+2QvSAjjAlcRvDC1dsDhtDJw/huD8cw+GnjmZ9WREXfP0ehgx15jClxaX9R3DLyKMo9NZy9ZyP2VxZhiYENlXlofHHMaVLr7Btdo3vQNf4DszctSWqJx4wDT7M2xBmfPeTkplMSmYyUkqK/dVoQiHNEQpT3PzStXTslcWnz3xFXY2fQRP6csUjF7EnvZZ/rPsIj9nyNeO7OQv3nfmoe4JIVSB0SXBiAsHjk1pcrzmEgORhVUhLQZdWxIVlV9SGY4eQs5LodIS1s2+My6ZFeMSKEEzu2xOA3RWV2FU1wvgalmRTcXhByq+LdvVqnwC+klKeUd9I093Swr9Z41tT50dtpgdYlceH22nH64+MxyW4HUhjDxjrQ9KPshYZHIPQeqK4TsCSfvA8ClY5+/N/fyn6xB/oWFupO6msijZYJLAJg8NSCrix2yq6J1dTqTtItfsp8sfxVN4wvijqQdCyIZBowmJESjHTR8zCoRic23kLH+7rzarqDjTcsQbkfAVKMPS3akLSJtA8UDEK1lVnUKvbcatGWFzZ51d4zTOE3X/PJW51JSmzivn0P1+HGd+ElDiCUVq2A2h2lftn3g6EquAu+fYDqoLhRuy1TasYm5XLP5bOYVdNJaaUoR4ghs6N8z7j02kX0Tsl0vsMmEbUV30L8JnRjwdgU3U+d655lyJ/FSDpEZ/F/UPPJcedyoV3nhkhzLNi9yLqzOiDpI2RiSreJ3JRdgRQSnXMHg5k+k8rZgha9cYywvBqXNv7WDRFpaC6hntmzmH+9l0IQFNVBJEa9kb9oGbjeVJKFmzfTXGth+7pqVE9ZpuiMOhXHvNtD89XCJEEHAFcEtqmDNJKXupvNubbPzcz6mitw6Zx9LCenH3kEJy2yGfPkI4bCZT/pT68IMEqgZp7sCr/jDTLEK5TwX09KJ34OQxvS9o8Wc46XErzhmE/8dUW+6bn8LfbT+S2fx+LzQuJNp3eCVX8a9B8LsjdSI+4KrZOfZFNx77Mm6NnNuQBCwFPDZsTtp+UdaDo4fewYkLcHlB9oRHjy1ccS5XuoFa34TE0/KbKm3v78ZWzD8HObqqmZrPn7gF4jfDrMTUrpdlGmQFvEJ83ZGxXlhbgMyJjkXWGznPrllLorcVs2gbIMnlt08qo257QsWtEF2gIlTUf37VP1HUq/B6uffkJCubuJlgdIGiZbK4p4Iolz2NYkdfC2so9PL3lq4gOwy1hdXdgjIn/yYa3Nfol5rClqpDT//sWc/N2YkqJISUBw0ARIqLybf931fhMJFBS6+HWT78mKzGBKX3DRZ0A7JrKJWOaG0c59EgJpiXa9AHShRDLG32ubLSpbkAp8LIQYpUQYnp9T7dm+c16vi6HjZvOOJJHPphHQDeQMmR4s1ISOH3CYBw2jUqPjy+WbCLY6FXpuklLcGhNDZwOgS+Qpd+CbTjoq4FfPitiXFoh/RPLWFGVRXMBCmFItPUaRn0X2007Mrjh/mm88+93sdtM3JrBzb2XIaVoNne/o8vL22Nnctu6CeSvSCBxkwJRHlSooNWC6YLNtWmMm3MeE9LzSbH5WVSeRUHgQAGGtCmYiRqOiwdEbMad6KK23BMxvfEp+o3mW/nUBP1R09UsKdnnjZ43ne6K4/bRE3lg2Vx0y8SUErdm45jOPZkQRb1tz+Z8bpx0J2qVF5eQCAP8F6cRPDWFOiPIgtItoVbyjfhw72IC1qFLW2yOoGVwxZLnqSu0U+eLo6mKnRCQ7HJS5m1Z8hRCmQ9Ldu3Drxs8cNIUOicn8daKNXiDQUZ0zuG2KUeRkxxZiPNr4iCyHcpa0HbQgOHADVLKJUKIJ4BbgDubWf63a3wBTp8wmF45Gbzz3SrKa+o4cnB3Thk/ELczNMhw5wWT6Z6dytOf/ECg3qvqmNKSDmsA9Gbj583SXr0UJbCxNp1ohlcgUbFI2Amu/APD21Iq+IMaC1Z24egxocowp2pETVdrzOCkMu62reO+mcPxJDgwtShVayYYLhl6V7fANATfFXTGXmlipGjQxHmTdpWq3pFhsGPOP4LPn59FbaadYGcXtqIA7l11DJrQryGtbGRmTkT8HkL5w2f0HMiDy+dFzHOqGkfmNN/Z4eJ+wxmb1ZkP89bjM3SmdunDYdm5EbFgy7K4deo/8RbVIuSBb9/5WjlmbyfGII0Sf6SRrw76mo2hHmp0aaL7FexZPqyAilFlh/rXb8OSbTK8jfl03UaenreYYo+XVLeLe48/htOGRj5of21I2m3AbR+wT0q5pP7vDwgZ32ZpF+MrhHgJOBEokVIOrJ+WCrwLdAV2AWdJKSvbY38Hw+Du2Qzunt3s/NJqb4PhBcivTKRHh/Y7zPZrYqtiKP0ImNF/MlVYXF23ic9WR17wgaBGUVkj7Vch23BMDl6b3gc9aGKr8WPG28NsvhSSQKokfnuQ1OV+1CAE0lVs1RZSE+w+P4GmDwkFQafE5Ig9nXXXaUxPy6cyQ4V64+as0Hnm7MsalnFpNh4cP5W/LfgSw7IwpIVbszE4PYsL+w0j31PDW1vXNKii2RWVdFccZ/aKrtG7nz4pGdw2amKLy2xeso3aCk9kIDQosX9ehRycyICkThHrTcwawMrKHfhbiCEfSlydvSDqjY8p8GxKRgYPrvmcAHKSEvnHV3MbYr4VdT5u/WwWc/N28q+Tj/2VC/G0z4CblLJICLFXCNFHSrkFmARsbGmd9or5vgJMbTLtFmC2lLIXMJtWngKHin65mbgbKWA9M3sMvmD7vRD8dMOrQtx1iMw1OJL/0mz58dCkEtLjfMhoubQ2k95dywHwBTUWbMvFNFs5MJFKYX7oe1B0C0dRLSJoNCQka9UBUpdXkzXbh61GYvNI4ncZOCotHKUmtiqTpuJpDlXlsgEjInb1XN4KvLkupENFOlUsp4reyc2T+8LjtSd178cXJ1/M5QNGcmbPQTx2xIm8eezZ2BSVO0ZP5F/jpzIsI5ueSWlcMXAUX5x0MfG21jV6W8NbXYeIUq0lJKi1kiHJXekfxfhOzR5C17gMtKaJtvs5xE6xUEO6UYoqEZqFu3vL3TdcmkaHhDhs9SIhNkUhwenAEwxGHWz7etM2xj3yPF9s2MKeiqqoby6/Bvbn2bf2aQM3AG8KIdYCQ4H7W1q4XayMlPJ7IUTXJpNPBo6q//erwFzg/9pjf+3J0UN78uynPxCsqMEwLb7f2o2/f3IMfz1+IenxtVHWEISeWb9UloNECDtC2JH28dw7fDaXL9QJWCoWCqowUQFrq4snd47BrVlhg2NCsejYoYaBvQqpC2p8va4nszb0pGtaFZ1Sa5p5ONhAltGxUy3bt4WEzNWAiSu/tsFeCEAIC1uKxF8TblwE0PkDD+UXpOFLEaiKggD+MW4yg9OzMS0fJXXz0K1a0lxjeH/begJNBqx0y+Kr3VsxLSusTLVHUhq3jjoq4oiFEJzUvR8nde938F9xK/Qf1zuixBgAp8Jhp47i7hEXNlNAYuO/Y67ii/yVPLttFh7dhwVoloLj+RKcs2phUBw1ZyRg9XVhRtdUahEVpd57lVj16s+JNjednKlsqt0XVvLsUu0YlhnRch5CRliNM0IjqVbkw0ITcPrQAby/an2Y5oNNVSlvIUTh03X+8tFMnJqK227nHydO5pg+zSupHQraK89XSrkaaLPeb7uJqdcb388bhR2qpJTJ9f8WQOX+v5usdyVwJUBubu6I3bt3t8vxHAxVHh8Pvz+Xr5ZtwZISm6oghOCxC7cwJnc+oYwRBVAh/kbKymaTqK3GkhA0NCwpSHIFDsrLDRoCRZGENFuiJffUI+IQifciXNMAkIElbNz9Vx7bMoiVZZmk4yeY58byasQ5gpRWu9EqJba60PYyO9XSb2AxI7rlMyS3mMxEL7qlYlcNTEvgdjS9EQWoXcEqZeVSN/fcfhiG3vRmlCiKJKdzgL8/PYE/XrgBT1X4AKTTZePaO0+mzzE9qA746Z2SjkPVqPSvYVnRVUgkkpBC+x+/P6tBYa0xihBsvvAv2H9iC/v2YMYzX/Lf/3uDoE9HSonD7aBzn448sfCf2J0HrObm6nxe3D6HbbVF9IjP5PKeR9M/qRNSSpZVbGd1xS7ynlzNhpdWEfQdyPxwuOw4Tstm7/kHZ4ETNCcfHXEzc0s2UhX0Migpl05xqWyuzue2Ne8cSDcDbELFodrwGNFzjqUFSXu6UlYVaHOV28HitGm8c8nZ9Mvq8JO31R5i6q6eHWX3R65sfUFg4yn3/O+JqUsppWgmC19K+QLwAoQ6WfwSx9OU5HgXhRW1IeMpQ3J7ADe92Zf7L5rKEb13EBo9soPvXa6aPp4K71Dcdp3imtBo8aT+edxzyhzsmlnvFba8T7smKahMoKQ2jaEDrwP7cCg/tUmHDAVwgnNywxTD8xa5tnIuTt5E7zIvNxyzGMdxoePdU57Ehf89A3+aRpd+FTx74WfYNROHZqCpsiH+7Kz32nVTcMDwayAcIJyQ9DhUnM3wUSXcfs9innp4GBUVoTJZVRUMGdub86+fQFXGu/zfulmsu6ozel0SyVt00ubVEafYGTymO0dPGxrqLFGfy29JgxXF12PI8MyG/qn7WFPaOcxLE8CwjI6HxPAuLNjFXYu+Jd9bQwdXHLeNmsjJ1x1HrxE9+Ow/X1NdWsPhp43lmAsmsM1fzOOrZ7K5Jh+35qBW92NKE0lIVH1Z+XYeG3ExI9K6MzqtJ6PTenLqm2+EGV6AgC+InFGE88Ie+K22x4gfG3ExSXY3x2YP4cENn/DfvNmh7HMZios3RpehUFD/pE5srN4Xsa3OcWl8eNUV3PDB5yzYvhuf3v6x6qBh8sqSlfzr5KZRykPHoYqG/JzGt1gIkS2lLBRCZAPtVuayXyynqLKWvp070DHtp6WylFV72bCrKEJCzx80eP6rao4a8Ucs7ytQ+xjgo6h6CgFDo9Z/IJ44e2NPFm/vxMS+O7EsheFd8zl52JYWjXCHRA9Xv3EZn48+GYDtweeJ1+8kzbUTIQTCNhCR9DBCODFNi5feWMCHM7II6heSnODjijOWYtcO3GC5adW8edV7vPz9cK47ZglJbn9UMZ392FQJ6gBIvANhrAM1ExyTEMKOFX81eJ9n9LgiXv/wS0xTobIiBSv7dnSHzvaqO/jb/F6U+7tiShVcUDnEhm1QFg8NOpHBQ8uh5ioscx/YRyHirqJSL8SSkXnnp/dYwo7qjgQtJz5Dx6lq2BSVB8cf2+bfsL34OG8Df57/RcPfezzVXP3dJ9w1+mguGzuS/mN7N8zbVlvINcumNwyoBZqEJiTgt3T+tXEGDw07n07uNDRFxeeJnqaoe4P8tf80ntzyFX5TJ9CKEb570BkMTukCwL3rPuD7kk1hnm40NKHyl74ncN/6jyn2V1FnBnGpduyKxmMjL0YIwZNnnMjMDVv46ydftXuc1pKSvZXN6wgfCtor7HCw/JzG91PgYuDB+v/PaI+NVnp8XPfkh+wurkJRBLphMnVUH+68YPKPlrCrC+gozST6e/xBpNTB8xT7c3u7pFWxtTiyasqhWazanUN+VQJLd+YwbWgeahOtBktCrd9OkitIQVUChRVBLMvi76/N4ttV2zDMY0lx67gdQe6/ZBR9k0Me5/OvzOOTz1cRCIQ8wfKqOB577XBSEv2MHpjfsP1OKbXceXJk2lXz+FAcI8ARPhAm4q4BtTPS+zxY5Qj7UPak7qPccy+y1mR5SSbVQVfI8O4/N6FQbfdTlbEcKu+joQzbtxvpn4kVdyfR0uRSnXXcPfpD1pRNoNQ/gsFpvTir9yBSnS1WZ7Y7UkpuWzQr6rwHls/lon7Dw4oP/ps3J1Qp1wq7vKVc9MMzaIrKVb0mkzokk9IVhRHL9R7Vg2mdRnJ8znDK/DXMzF/FC9tnNwjAN+XZrbMwLJNx6b35rmgDZhs6qdSZQYKWyZvjb2B+6Wa2VOfT0Z3KMVmDcGshZ0IRggHZmThtGnXB9vV+VSHok5nRrtv8KUjE/7bxFUK8TWhwLV0IsQ+4m5DRfU8IcTmwGzirPfZ158tfkldQ3lDuCDBrxVb6ds7knIlDf9Q2O6UnEee0hwntQEhweuKQHqFSYnngIrxx8iJuemcqASOUJZEe7+WBM2YxIKcE01Ko8Tn4+4yj+WT1BE4fvoT9RjtoKFT7nFz4wukkugIc3msXR/Tdyzn3vcT2gv2DWZKzRy/lnDHrMMy3sEpB2o7ii69yCTSpUg0Ebbz6yfAw47vfUWlL/FmiIRxHRZ0nhADXtIZY89qSWygNLkYS+h42VWQTMCNTiIKmxeaijzmie+O4ognSS7I+F9mMgXBqfsZkfYMq5jMk9SXenbWaz5esxSLI5FEZXH3cKbgdkQph+8csog14HSylPm9DqlpTdMui0FtL54QDWgtbawranMfrt3SwdB7Z9Bn2S+w4NwjQZUh2UlOwO+zc8PQfAFCFwk5vKS9t/65ZwwtQGqjh3xs/A0GbDO9+/rziVeYccycTMwcwMfNAamJFwINd0Yi3OclKjP9JYul2VSHV7aKizkew0b1qSsnby9fw7eY87po6kWP69myX3+6ncKhyMNol1UxKea6UMltKaZNSdpJSviilLJdSTpJS9pJSHiOlrGh9Sy1TW+dn2Za9YYYXQuGBd+auCpu2YVcRt0z/gosfeptnZiyksrb5EVlFEfz9omNx2rUGPQinXSMt0c2lU0eDkhK2/Nge+3jknK/ok1WKXTP4z0WfMqhTMXbNwmU3yEzy8ug5XzJ7cz921N3Gqj0d2VmazNtLBnHuc2dR5olnZ1kKX63rw70nf8X0Cx9lRNdQDO7U4Rs5e/R6nDaTeGcQQRChz+Pas+dHPfbCsgPiKPVqjM0a3sYpM1KCYVhsKB4TsVzQNJm5awuPrVrAjO0L2Fn1EQXeLxsM7+c7B7O4uCfRLlu7atLZHe2ntlD1ZfRLuIc9C5LZ9X0Chj/yQHUzyDWPf84r3yymsMJHcYXJO7P3cf6/78cT3HXgXMxirMprkcUDkMUDsCpvRJrl0U+8jbhtthZrnf7w7Yd8t3d7w99d4n6cBxfsYaf2mS4Ej03E6OPAcXwmz616iD4jQ1kAhmVyx5p3CMjWveqgNFoNNTQlYOksKtvW8PfG6n2cOf9Rps39F1Pm3Me1S1/Ea/q4dOwIXFEqGwUhD7al5ptCCOKdTm6fchRKkwtSAiUeL3/5eCaPfbfwoI693ZEgLdGmT3vzP1Xh5g8azT4lG4vkzFqxhb+/NquhrHjL3lI+Xriet28/n4yk6HKJ4wd05c1bz+fduavJL6tmdN9cTh0/kHhX6FVMui+AujfZ78WO7bGPsT0+x3D/kWCVB00NN0SqYnHi4DXM2TSW5z4/OWJ/Uip4AnbW5Wcxtsc+Hj3nS6Y+ejEXjV+Nyx5+MwkCHD06j8deOwzdaDwAJenROWTofEGNNxcN5pwx64l3BqkMOtjhTaKTy0Oms67B8O6/X4QAoUiSjFuwrEUNMo8V/jpO/fwNynx1HJGzjO6J61ldpmBTTBQBBZ5kvtk7MCzcsB8Fi0QtyKQOe6J+xyvnZ3DvNR9huIYDEumt5vh/baXH0QcG4Lbt7EhhmYZuHPidDUOjsCSBd5bew+Xj7kfWPlTf6qnRdx74FlmxAdK/Rogfd1nH2xwMSstibXlR1Plbqsq45rsZPHHEiRzbtTeX9zialRU7W43NRkNm2xo6XPiEIK1bWsO8jdX5mM10kZASgiUOAkVxSFOgJeg4O3tRnQeX+rjHUwod+lHmr+HapdPDmn2uqtjJ1Uun8+4RfyTF7WL6D8uorPPTJTWZgR0z6ZycxNT+vfHpOvd+OYc1+ZHfV8Aw2VFWwebiMlw2G95gZKw/aFq8vHglF40eRnp8izIIPyv/02GHX4r0pDjSk+IoKA9PBldVhSMH13sNpsUDb80JCyEEDZOaOj8vfrmUW85pXle0W1Zqs/NFwk1IYYe6V0EGQEmFhFuxIUCz0bT1kF2ziLMVUVriRVEEVpR+WBIoqw1ddEJIjuiziyRX9DQgRZE4nTq654DRc9hNLj9tOXVBje0lqcxa350Lx6/ino1jeWdvX+yKSdBSmZixl0cGzcWuht+gmiLJSKihsmIBaelHAPDPpd+R76mha2IhU3LXY1NMGuc0ryrr3EzbFUmuu4Y3Rn+JXRGELi2DYr+b2SW56LUa792YhUxJACEQQiAdbmb+PYFLBy4gvkNoH/sKMwjqkZelbqhs32fiLTkZt6gmiu4WWBUQmAvOY8LmSCkp9y+mpG4BdiWJnIRpuLToVY+vH3sWx814hQJv9IIDv2lw3/K5HNu1N4NTcukVn8X6mugazy0kEIahoIQVYvjMQPNKaBIUh9lQiWZU2/ArblxdPCha21+gl5Rv5/xuE/hk37KIrAgTi7JADasrd3PR6GFcNHpYs9t577JzWbJrLxe//kHEuVpS8vHaFou8sKsqq/OLDmnu728x26HdEULw94umcOMzn2CYFoZp4bBpJLjsXH3iOAD2lVZFrbYxTIv563dwC20XdZZSsnTLXjbsKqJDcjyThl2HM/4GkL5Q/q0QSGNvVAF0X1BjUV5HZm3Y2mzszLIUhuSGBl40RRJn11m1J5vDe+1u6DS8H6+eRKnDhc0vUUxwxOucNGUTpUE3H33dj63F6bz8hxm8vqc/7+3tQ8DSCFihn/e70s78c8tY7hsY+YpnV02kspaQGh58tXsrhrQYn7213vCGoxDSkWiKQxhc0nUDHV1eIBkcI3hqfRVPbx+EiiTp6ypS4pWwSjGhKkh3PMte7szE/9sFQEpiELvNjDDANs0gKb4WS/oamkBGIP1gbAcOGF8pTVYU30i5fxmmrENgI6/6eYZl/JvMuMhrIcnh5IezrmZNaSGnfP56VOO5p7YKKSXVeh1baguiHwvg1hyY0sJv6kgT/Pvi0MudSMCWEsDZyYvDrjAxcwCacsD4vrp9XsggRHHIhAJakoHi1JGWQnzfKoQWqdfbGmurdrOobCt768qjhi32p8q1heJaT7MPGX8UJbrGWEjS4lrv9vFz0Y7aDgfN/5TxBRjZuzPv3nEh785dzZ7iSkb07sxphw9s6M2W6A6lZUWjqKKWTxdt4KRx4foHpmWRX1aN22EnPSnkiQZ0gysefY+Nu4sb2vv8881veePW8+jZ8UCmg9A6U20eg9Oa1RAuCBoKlV4XX6zpi09v7MEcuKOcNp0pA/LonFrTMG/R9s6s2NWRkV0LGnJzLSlQhAPLfjKuDBNfkopuanjQeGn5cBxrDKQUvHzZR7jsOq/sHoTPCh8IC1gaH+X34u5+P2BXI2+TfTUr6d2oqbAmTFxaMFybt8ZG+c5EesdX8LUiiPiKheDIjHKkSKfc9QyXfLeGjRWh7EIdcCQ46v8Vud7OvI5MsAqIsyVzxrhTMa2P6Ja7D2+dkwXLBrF5Wy6aZjG0zz7iRAvauMIJWs+wSYXeryn3L8WUvvpvWUdKWF16C8e45qMq0cuPh2Rkk+mOp6guUm0twxV68JYFarEJNWrFGMDEzAEc2aE/r+6Yx4oldRhehf1Opl7mxKyxM+hwN7cMOIX1VXt5bts3bK0ppCrobdWY2jP8qG4TYbOI0gKvVXxmkG+L1jEkuQvfFW9oSJfbP2ZgSUm/pJxWtyOlZH7ezoM/AEKnmB4Xx9Cc5rVXfnYkDYJCvzT/c8YXoHNGMjefeVTUeamJbob1ymHFlr0YTV71pYQH355DotvB6u2FVNbWkZ7k5pMfNuDzBzEsSc+OaTxx7Sm8P38N63cVh60fNEwufuhtFj5+Q9j0xMx/88jrPk4dsQa3XWfOpu68smA4Pr1pNkDoRTTJ5efPUxZx/JAtDcf1/vIhFNUkgZSc+9xZXDJ+FYM6F7GvMgUl/kqOzH2E966t5e3Fg5mxqh81PgeWVAjU76N7h0oUAdV69AopQyoELA27Gm4AhYBNFUXEpdeQ6da4adhq0l2rQp2Q60Vufni5L2tmdEe1W1i6wuieKiuOBcupIBAYlokQNo75/iRSHG6c6hL2NXltrx6dQNL2GuIKmlhtKSlMyeTBFX/g/eOmsanyAkYNrQYM0lNryO4wj5Xre9GrawUjUw9H6LOIasRRQckAx5FhU/M9nzUY3vBfQlAZWEm6a1zU7wvgj0PHc+/SOWEZEHZFpWdSKs+uWcQJ3ftiNeOF24TKFT0nke1KweVP5KrAJ1hhsWGBXTo4Of4ottUW8sflrxwormhNdkOA4jRQ440fZXj378Kp2jiu4zD+s/p7yrYCqoUzx4viNJGKgtdoXQR+7radfLNle6vLNcWhqXRJTeG5s08+9NkOsbBD+/HAZcfzh0ffY0dh5Ki7Xze46bnPUBQRUVQBsHlvKcff/iIOLfpV7QsYzFuTx5FDDnhYNpuNudtG8t6yvm04OoFuqhwzIA/LEgQtlXz/NRTrgxGswpRQUJXI/V8cMCJdOlRy5DXlpMebXHHkCt5ePBhLhh9ffmkCTs0k2+khz5tC0zs4xebHQeQroNdQ+ba0GxXObQxI/S8d41aHpYNt+rYTaz/rhqmrmPVlxtXbqjkptRt9/zyUJUV7mbtvB/76fNcyfzNZJQpUjHYR94m3yXRByWEurDov7217kL4pNTSOn9vtBqOHbmF89gck293I8jlhaX/7v1OcxyMSb48YbFNE84paopXL/5zegwmYBo+vWojHCCKlRErJoqK9rCgp4Kk1iziz/3DmVqwMq0rThMJzo68g2xXKktlSXBp1AM2vG2woKuYT78aDqmqTEky/hpb440uA7ULjxJwRrN1XTOF6OyLOj7tndUOzzYAMcNWS6Tw16hJGpjUfj31j+eqDLkVWhGDGlRfSLS2l9YV/dn6eTIa28JvsZJEc7+KK48biske/8SRENbz7MS2LumhCKvU88PYcrn3yI176aimVHh+GaVFSFUUMvBnqgjauePkULp5+Okc+cAUXPQXvzVvd7DFVevwgQgUHnoAtzK4KQ+IuNLj8jtO5+PYz8HyZDFEupkqPkxfmjcYX1NhvB7yGxtrqDswu6YoiSqnwL6vXWzjAqo+6YwTCjZShm2xaupPTO/ZjcdGeBsPbIkLg6aJhqSCxQv8pkH+iGz1Zw5QSh7qhIZ2tMXpA5fNvv0NonRApr4DanZDfYAPHFESHpSjJjyCU1Ih1OyWchioiY4pC2EhxNj+QFFpGcEn/Eaw87wZuHXEkNqW+HxqhLhk+02DGlt3cPvA0+iRkk+5I4JisQbxz+J8YlJLbsJ3clOSoaVkum0b3tFTyPMUR86AFj0zWhy3qtIhlpATDp1C7LoW6HfFESxMWCP5Qrzlx/6x56KaFMze8vbwQYGLy6KYvIjfQiFp/695xUzIT4n8lhrce2cZPO/Ob9HwBhvfOaTZd56dSUu2lpNrL4k27eeXrpbx+y3mozXjSjbGrBscM2M6gTsXsLU/ii7V9MCWYLXgOQsDQnjkQdwV4niU1zofLZhA0NJASd5GBMMFCCXUzLobsb6BwEmG/rmUTBDPK+XhXNh1dJkG7xszC7nxR1B1NURmbaWd3jQ2L8JvJXxs9jKEoClU1XmqaVn60hENh5LNH8sW3qzAMk7pcG5bjwIOiwhdHbnwZTe2U3amT3O9plhaupF/aX0nI+AppVYNwIES0PnZgSZ2Surl49T2kOkdR5luMQCCECghGZD6J0saUNEUIvty9FX+UgVxTWmRoGbw+/oYoa4Y4vEcXUuPcBIyahlCYAByaxrRBfXl7UXx9T7gmSNA9KprbbPibehnI+P5VRK2rkODdkgy6iuXXQJG4OtWBGtJwjtecPD3yMvondyJommwrLQMkSjOpajs8LasCHD+gDxsKijGiPCkUoh/iXce1rJ/8iyJjA27tTkZSPJdOHcVLXy1FNw7eCCsCWrGlAHj8Ov969zuG9cxh+dZIsZL9JDr9vHrFh6TG1RHnMPAFNa48ajlXvHIy26KUKoeOQeC0a9x4yuHgTgHvqyj4Oaznbr5c1xvVLxFRBro1DyRuhZpGXW06uKvp3zuUf1ttaiwq7MVXxX3QFLhj9ERyE7PZXl2HgqSrZtJRtbCApSOLWPZtFywz3CIGNJ17Nt3LtG4eZu/titfnRKr1X1wLzNy3kStO28Ha8gCLirpTU995WRMKvuBETP11lCZKa0KAqknK/AuZn/8DifZ+DMt4jDVlVeysqaRvagbDMzo2xA79Rgk/FJyPbtVgyQCKsOPSsumccDpOLYNM9yQ05eBKl21KZF4zhAac7K2UtauKwtuXnM0dn3/Dgu27kVIytFM2902bQrzDwaU9juKxzV+Ei65bgmChi2ClA2mAlhjEkeNDrdfyEApR31vNWg0aqdDppW70MieOTl6cWX78ps796z+mR3U/Pl67sb6CTiBNgYiSqpZib/l76pKaHNE7D6BbWgp3TD2K6QuXs2R36L5wahp3HXc0R/f+dUlKHqoSt9+s8QW4fOoYPL4g73y3qlWvtCmWbLsBXrplL988eCVTbnmh2f1cPXEpmYmeBiEcl93AknDPKXM47/nwyuvMRA+njdjI6F6Q0/FY0jq4wdiOlKF46vhee5izqTumGd0gKBbYGkVBbIrBqT0OCJM7VIMjcvLol3oRk7scQaf4JDaW/wuAlEACT20ewhZPKgMSyjnn3E1s/KEjdT4N01CRAqQK+ZPj2FKQSOJOne7fVRMs9yM1qBzqoOQIF4lOHzV65I3rM3wYcjvHdylnape1PLduEqW+DpzXZwEDUnczd8YgxkzeiM2uh0S+I2y5JN+zgxvnTacmGIdEYlNUBqR14PUpZ+G22VlXdjd+s4T9+cmmNPAZBfiMffRIvqzpBtvEuX2GsKaskLom5ccJdgf90zJbXT8jPo7nzzmFoBH63Rs3bz2l0ygqAx5e3fl9Q1ri8PRurFR3QmcDQ5oYzWRUNMauK4gPaslcshepKXhGZVE3IA1Q0EudOLP8GNJk3do61lRvJGiYaKl+jEongUIXzo51YaEHRSpc0v2oFvf5+tLVUW1XQXUNHRMTufaIsfxRVegQH0d2UmJEtduvg/Y5JiHELqCW0IVntCY/+Zs0vpYleeGLxbwxewVBwzhow9uwnYNYbcnmPWiqghmliy3ApP47whTIIGTcu6VXkuTyU+0LvT4Pyy3gifO/QFUsHJoFciOy7A1IuCPUekDCxH47eeDzI2kmsQFLBX8HEFhkuGo5tcdKBqeHe+WaUJjYuZZO8UlYUmdP7fuU1aRy05rJBMyQUPsOTxJfFnalZ2Y1YgcgJIEUhYIT4ghk23DlG2R+7EM37CEZTR1SVgUYM3Ibeenp1FRG85okuqVhqy/4uG7wIjQlF8EeJDp9h+/m+btO4awbvyE7NzLPVEp4ZNUUKgJO9r/UmqbBmtIiHl45nztGH0GZ7weait1LdAq8XzIw/a7oX1orTOvWl3n5O/li52Yg5M2qQjB90mltNihVQS9v71rI4rJtZDgTOb/r4QxKzuXxzTOZsW8ZpmWRYHdxeqfRvLFrAX6pN3hlcn/cUYROO96XjCvNpM4IAhLDMOlweynVWypR9ND3Ys/34NhRReVJPbHqvWFLF/grbFBvzBWniT3LS7DIjVAljsz6zBABx3QcyFldxjFv204enjOf3RVVdExM5E8TD2Nq/5C6W3Ft9LEO3TSZ9vzrOG0apmWRk5TEf887hY5Jv8Jmmu0bnZwopSxry4K/SeP7wszFvPbt8gihnLaQFOekLqCjG20v10xPjOPVWcsJ6M2vozfjpSLAaBggk9x76mzcYeXFPqRZSE3lbOIsC00F3VQImgqWXcFwWmh+2VB3oKomnQZUcMHpi+kUX9mCwI6CTYRKrU2rDilNXt06Bl8jsRwLhSAKO8Yk0S0v1NXDXiNJ2qRTkm0j/QcfoslXbFNMJh2zntTqXLZXdyDYJOfYkoIeSQfiiHYlCGzFIlR+mtm5ksvv/JTK0kRMQ2l4zd5PwFQp8SXR1FsxpMUHeeu5Y/QRzZ0wUUef2ogQgkcmHM+VA0expGgvKQ4Xx+T2xKW1rT9ZZdDD+QufojpYhy5NNtXks7Qsj35JOWyszm/oclwZ9PLSjrkR7eaFCB2+Z2MKlk/FsNu5a/BxxKVKqnQvgXnlvLDr5QbDC6H2T3Fryqg9LAcjw4mlC2RQRSgSWS9eb5Q7iR9QibOjD6mHumIIBRI1F3cPPoPv83Zx4wefNxRL7Kyo5P8+/ZqAYXLy4H70TE8lrzRSU8OSYEkLTyD0u24vK+fcV97l2+svw/YrEMdv4BDm+f7msh0M0+KNb1f8KMPrdtiYODS6YExL1Hh9bNlX2uIyM1b1xd+kI4RhCSr8fdHNkIeYnVRLSly0nFSduuqZHPPwJXy+eiDLd3bCroUMvT9DJZCsYNpCHm/fkRWcf+VsOie0ZHhDZMZNAkBTErEpyWz3RGYLAPizDxy3YkDK6gDCkNgrIptup3TyIC3ByA676J5YikMJvaarmNgUg/P6LMKhHvhtTNPAavK2EJ/kp3PPEjRtv9h7iICpsrioB829JgZME0XYSHWOoumlLdDIipvSwrfRNvqkZHBRv+FM696vzYYX4I2d86nW68IKMvyWzqrKXRHaEE0NbwNSINRQjLYuqLO2oJjR6T2Zkj2EvO+24vdEKU0X4NgdyrkWAlwugdIoTdEKaHi3J9RvW4IUOHHwnzF/wKZoPDR7fkSVml83eGTOAjYWljBr0zbaggSKajwc/eSLzXrLh4qD6OGWLoRY3ujTtAWGBGYJIVZEmRfBb87z9QWCBA/Ca21MXUBn275SRJSbW63XZ4h2W/hb8Hj38+qCYQzLLWRgp2IUITEthWqfixrH37nuJIMnPl5AwNBQmkna9wU1PH7JvZ9OIC3BIKAfUMjRE1X0RBWBZOzU/ND7fyt0T7oYTQlV8y0r3sesPYfjVHX8URqJqf7IY1L9En+milYTMsD7D9tX5UC1WaiK5Pohs1lfnsO68k7EaQHGZuWRFXegL55lgalbaI5IIy7Q6JRwGrpZQXHdbLxBO7P39uOrvYOaPaeh6aFKqUHp9/BD4XmYlg9T1qEKNw41jb6pN7X6vfxcLCzdgt5MSKrNKBJ7hg+tZw3CUshX8zGlhSoUUrNS0OxaZK85AVacDWeCReeEFM7sMo5vK4tYsOOA+JFZ7aRmpQPU0Oit3RlPr6mh73JPRVXUQymu9XDpmx8e9Bt7mcfL7Z/NYvp5px3kmj8jbfe1ylqJ4x4upcwXQnQAvhFCbJZSft/cwr854xvndJDodlBRG71bQGts3FOMpig4bGpYGOHHxo33EzQ1rn19GgM6ltA3u4zC6niW7+zCuAG7yUiKDx2zV7KpMIMBHUvCVNJ8QY33l4VKoi0JpTXRfzaH3UZmRgVmM1fT/kFEgMK6WfROvZ75+bu4YvZH+M0EUh21mFJBtw5sX+iSlBXhHpXUQHPr6JlO/IG40KuqbmEvr6PW62Tp933J7VFCTtcyBqfvi4g3SwlmUMEIqmgOI6qHLlDoEzcOreb/MJwKZcJkubShCQs9iqKaAB6ecBwAblsOEzt9RaF3Fl59N4n23mTGTWqx4OJgkWYpBL4NFXw4jkZokd2LG5Nqj2dHtGYuUTQcBGBTNCwpGwbapFmvSpek46lzoAdszPBso3zBa7w44RKOvXQi7z/yKUYwfNPYVNJHdeHNy84hMyGeguoaHtizIsoRCqgPjZV5fMzauI0p/XuRlRjPniidJ+Iddmp+RI6vBSzauZeAYeDQfiXmp/0aaObX/79ECPExMBr4/RhfRRHceOoEHnxnTquhh+NG9eG71Xlhnuv+rJloKmQ/HcGGgkw2FBwYHZ+3dgeKEA0G6Nb3p/D8JTNIifMhkKiKZO7mbny4YkDULWqKQNNULEty7sRhZMTtpsCzLyJXVkrYWNGRgWkhIZiAETIE/1g6p6FIoiKwXxs41AUXC5I2BEhf7Ge/hdAcBqMuyiNtW1eKiztg1ltzaVcJZMUjFIslXw5msSVQbSZxCT7cCX5GHLmF3kP3hKQsRahw4puHh3Ls31ah2SN/p0R7D7Sav4H0ogJXrjiZrbWpTQxvaBTKLixenHwenROSG+aoiotOCZFSnu2BVTcDau4ABGW6ne+q3ke3H8WEThfTJS562uD53SawvmpvWCWbtMAKChQboVf+ehyqjceHX8z80s0sLN2CSzjYWVSDx15LZUVCfV6qwDRhdl4x99lnc/uYSdz53k08eOGTWEa96FSyiwumX84px45pGBSctTmvTeW0f/zoC77OvoQ/HXUYt33+Df5Guegum8bQnKww7/lgkMiwY1hXUMT3ebtw220c378PmYnRZV9/LprTaTqobQgRByhSytr6f08B7m1pnd+c8QU4adwAqr1+Hv/w+6g+oKYqXDJlFF0yU5i7dgdNR8Z10/pFU2IsKRtefcq9CZz21HkM71pAZqKHDfkd2F3efDVQYpyLq6eNY1y/LuSkJ1EdyGB37bdhpcQBU2VRYU8+3TmMRye8A0CSI2TM86qjCZCHdMvOiS+gpqMHfTCUbk8iPs3P6PO30nFIBQvuGI1pqE1XQ0qVoD80XQ9o+L1OyougaHc6BbvSmXhqKOUtLSFAYm8TW5TkfoGNzvZ0sPIAWFKRzQ5vMsEoHu8JWTt5cND3uJLSkdb5CKX9dWGllHy9exsvblxOld/D5LTv+UM3WOJJ5/69obdQixKe3/0EF3Y7kit7HROxjfEZfbiy1ySe3jwL05QgJGadRl1eIlpSEGdHH4nxNvondeKcLofRL6kTw9O688e+xwPwp+Wv8vX2YIPhbcz0DcvJy6vkydOn8X7RdDav2E5QhcHDe6I1GdwyLatNHSosKZny9MtM7tuTv02awBNzf6DaH0AQSpsrqvlxcVtFCIbmZOO0aUgpueuL2Xy6flMo7U1RePy7H3jw5GM5rn/v1jfWHkgRtSL0R5AJfFyfa64Bb0kpv2pphd+k8YXQ4JnDrkX1fo8e2pNrTzqMjbuLo16IAtrcOLAtlW1txWW3MaRHNmXVXuISejBz7Y5W1+mUkcQZEwY3/J3k6MOKkj+QE/cBnRNCGS92xWRg2l40YQACVTjok/pnANKcbkp93ojtpjpcPHj24wDkVU5na9XjDfN2bMlqxl1o+v584G89aGPF3H4cfvRGjuxQg1vA0EtW4FQNNgVVChsNAiloZLhGgXcRAFs9KZhRXw0FaXYfcZqJ5XkC6Xsf0j5GKO3rOT26cgHTNy5vENjZXdOfjwu7oqbo4Q8EafL6zvlM6NAvqiLYBd2O4OUvtlKoVyB1Bau+H59e7sJem8Qpx/fi4+JF3L7mHSxpcULOcG7uNw1NUekSl44eLGD/d6woFonJddjq3xrW6qs5ftZmcoKd2JxXiyUljrmz+eNRh3HBqKEA1Oo+vO6qNrccksC3m/P4ZnNegxMjIWoYoi0IIMnp4P5poYHPH3bu4bP1mxu86v1SsLfM+JoJPboS72gml7K9aYfbV0q5AxhyMOv85rId9pOdFj2h22FT6dO5AwD9u2TSt3MH7Fq4d9DW32JQ1yyG9Wxddq+tKIrg7KOG8t6dF/H4tScztl9ui+nfTrvGRZMj4/83Db+cNcUD0S0Vpf41P91Vx/iO2yn0pjEi8xWSHQMBuG7w2IhRe5dm45rBYxv+Lq6b3fDvDVu68NqnUzCMg39uq5qJbU8q8QI0AdWFTp54YCRPX3E0S17tg2UKIJTutKT8hVDjUqCruxpNRBoMt6rTK74KAAUdzCJk3WsHfVwtUeGv44UNS8OUzYJSwyM0rCgPhIClM33bnJAsZBR6pqdjeWxYhkBLDqAlBkFIrEQP7xcuxGsE8JlBApbBF/mreHzzTADO6jKu0TiAJCXNg81uNIRxFJtFdZlk1ZYKfLpBwDCp8Qd4ePZ8Pl27iWJfFWfMf5QPiudjy/bQVsECq01LtY3MxHi+veFyutbrOny2fnPU9vSqovDDjt3ttNc2cIi0HX6zxndM31yS4lwNPdn2o6oKJzfS8336+lM5+bABuBwHNxjTMS2RR685iQ27oreciYZWr5Bua0YxTQjB2H5dGv6+9dxJJMY5cdpDhk4NSpxlBvHFBu5qi/OOGEZuRjJPfjyfh9+fy6q8fKSUJNgcTMxZgkONUqYrAiwqPPCwubjfcK4bPIY4zYZT1XBpGkd36s7wjI4NbwUePfT67/Pb+eCLozCkjWC8CB+naNwgrjkkZCb5UARsz0viT1cdzfdzOlFZa2f42XkoqgQsTOnDa3nYpitIbIxPLyDTWYfWSLReSAvdq7Do39lMnzOIi5ZN5ah5J3HToh3srA6p2dUGA7y7dS1Prv6B+fm7Wn2bkZYHy/sWVvWdWN43kZaHtWVF2KOUFutSjeqNSwnfl25iyuz7uXHZyxGyjNdNGIsrK0Di0HLc3Wpx96ghcWg5SV0DESlnAUvnvV2L+WTdBnLcqdw64mgUAXaHgVCsiIHKQKE74hXapxs8PX8xT2z5kupgHX5Lx9nRR9yAyAKWn5uje/UI82Zbcix+UZnJmLBO+6IqCi/dfBa3vfQl63cWIoSgY1oi/7x0KqmJobzaoG4wc+kmdhZVMKhbFss2723Td5wU5+Tjey7h3je+wdfGfOIjB3fnxLH9WZWXT2ZKAoGgwfQvl9QbYoEiBE9edwqORmWnnTOS+fTeS/ls0UYWLslj8+I9mGZosMJpwGdvLePN2SsxhIUlJR8tWMdxo/tx4aShxLuiZ3ukOj1srChhWvd+AOzeW4H5Qx0nluayLa6a9QnlzMvfyXf7dpATl8ibU8/GpiRjmj42b89F1HugwRQVqVnYayyEFRpEUXQJqhJKqWjSyVMIi7j4AP17hhS8XvzPIPz+kMhNryMKiHZ17zadJLkmkGl8xTujP+fGNRNZUpGNtATuvQZZX/tYnZnJl57uyEBoX/k+i1mfvcbDhx/H3xZ+hWlZ+Awdl2ZjQGomrx97Fs4oo+zSzEeWnwFWHaE+fS5k7ROkcSVGFLlHPaBG7zTRME2yuCyPO9e8y6MjLmqY70iwcOd60SWgNMpoIXr7KInk7q+/QUXh4kFjsUkn9639PDJDxKLZ2GVxjYeFpbvD8oc1t4maGMSssRN5IhLh1JF+W5R5P54TBoTHcU8e3J8vN26NkKS0pMVh3XP5RTiERRa/WeMLkJmSwIs3nUWVx4dummHNM3XD5A+Pvk9eQdlBFWQ47RrnTRzGyq37mLVsS5vWEUCnjGQmDevFpGG9AKjy+HDaNbbsK2VI92xOGjcAe5ROsQluJ2cfNZR3py/EaCQQpBtmKJ+5zMBMC63nDxp8tXQTE4f0oBYXDlUn6LcRn+RruFkr/PF0jk/mu9V5zJyznpVz8zBNCynB5goytkcp5ZkONiWmscOs4LqPP+SSrichs57HMsX+PIiw/GKkxL2vDle+FyPegekOyV4qSaHec5apkJxey5lXz2G/079lUyr7b2xHvI5qjwwrWDKIV+tHTWAFl68YzXZvMjbLClULGgK11qL4/ASk7cDNY0qFOj3ITfNnYkkvXRLL8OoO9nlSWVVWwNRPXmJUZicu7jecgelZDevJmnvBquRArakP8NFffYRc16nkeRIxCWWlSAk24eDibJW3iqoJWvUZYxHJypIlZdsoD9SS5ghlkszYtyxqO3gVETVFUJoCv8/ini/nsGxPPuO65fLQqJP4+8Z3oXFXEgWEzULqkV66Q1OpC+ghRbRGxxjXq4aa1akNKWb1ewQhkYEfl5YXZ7fhDUbPM29aXDGmSyfOHDaI91auC+UrKwpIePS044mz/0LxXton2+HH8Js2vvtJjg/Xcy2v8XLvG9+wYXdRm1XsXfZQ3mVKvIsXv16KIgR6M+2KmmK3aUwefuCpv3D9Tv7638+BUErbtyu3sa+smj+ddgTS2APBZaAkg2MCQtgpLqmh2hvpGQlA88kwEUi/brBg7XbU8mGM7bkdBMz9chBJA/fRuX8xX+0ahVi/jr0FlYjtPjRhcvgJaxk5cSM2h4llCUxTwafb2LYqm4qlifz36Rz6Hd2PAafujSo8rSoW7iofmmai+eswvCqHXbSXy89bDkGNvX4bVe4gFoKtukIvm0ViUhC/L3SD712dzogz8lBc4WESRdjIcI3ntpVuNtfuCaWZ1at51eVqlBzpwrJHefUH6owg/VNKOSJnM72Ti6kMxPH02knsqrXY46nms52beXD8VE7pUS/9FphPtCJ/IUxeHPklF66fgket93YthbM6TeDaIcdySq9KzvxmOgGtKixd7MB3o1IR9DQY31rdH7WCzZIh5bSgZTYYSGmCf08cIKgNBHl35To+W7+ZLqnJ9O6bxXZPMVb9m4gQ4OzsxbcrIcID9mi1xIloIkWQ21dQukVDEYKgaYYKQcIyKqIkIrdAS/fE0j35nDDwQMMBIQS3H3sUZw0byLz6VLOp/XqRGndwinM/mZjx/WUoq/Zyzn1vUFlb1+bv/KRx/Vm6eS9FlbUUVtS2vkITpo3tz+DuoYohX0Dnb9O/iPC235u3hvHd5zMi652QgA4CsEPqa5SbCViWjHoLNGlogSIEY1OfYtRh23A5Q/sY3reQhatzef2H4xiVdhwf5K9F9+q4JUy7dAE9B+1Fs4VuGlWVqKqJzWYyYvxOGA+WsYbP7xnNO3+YQOqgakriDpQh22wmwwdt5YgL1rBjcRaGpdCzp8kZo7egCRC2IBnuIHUSFgds7DY1vNg4+Vw/r/3HRcCvULQphV3LOtBlVAn2egMscJLpPga3rQ+z9s6MKKyQNkHNAHuzdsGp6jg0nTe3HMa0rqsZl53HdYNn889lJ2HJUBfiOxbN4riuvXGoGvu7LUfj7fKemPYD+hmoFp8W/8DE8p6MTOvBsVnD+TB/PnZXMMLACaCz+0Du7/j0vny1b22Eobak5KzUibyz6wd0hx8roBAoiMOoCfcA64I6O8squVoZxdjulXyevzJk0KVFSgewaR5EUQpej4VRr2etxhnRQyQKlNf6GJHbleuOGMvLaxfx7ZYdODt50eJ0pKkQKHYRLHICAk1RiLfbqWqhuEKPonm8n1V7ozcb7dUhnV4doudH/xLEPN+fwJ6SSr5ftxO7pjJpWE/SEpvP9Xzl62XU1vnbbHh75qQxa/nWsCTzg8Fp0yit9rBi2z5G9OrE4k27o2ZhBIIGny/JZ8TJgUZPYi+y8kp2BJ5FzxTYikP6vfuRAoKJ4UZpYFYJo/ttw+lolBTvNBg/bA+7v5nG1yt2EdBDo+RJqR56DNzXYHgbthserkW1wQl3LWX2E0NJ717LHm82G/O6ATDl+KWMGhsKvww7dQfCUJgU56fxmKImwA3ITSnM/jaX9K4Orr/4cTYUfcaC91cjFcHMh0fQ6axS+kzdC0KgKccwtevNBEyj2YEyyymwl5roKWpY6MGu6JzecznDM3ahCslbW8cyJms7aU4v2XFVFHoP5E1vrihlSEY2uE4A36c07Q/nM1U+Le9GQIbfKgFLZ3reHEam9eDawWP5fPcGLFkMHPAwbULl2l5TcKoHXuETg8lQZ0O6gyGRutAYI/6COGbk7cBuZVLl8bY4OOg3DN5aupYXzz+NG/qEqvqKfFXs8pbSJS6dLGcyA+9/smF5s06L6t1JEwK1Gstq85mxdhPbykuJ71MVCmEIEKqFs6MXxW4SKHShSRs1gWDkhhrhtGnNthWq8kWPax9yfqsxXyHEVOAJQAWmSykfbM/tP/f5Il6dtRwpJYoQPPbh99xz8RSmjOgTdfmFG3e1OVwAsKOgos05v9Hw6wbz1u5g/vqdDO3ekUS3M2r1nERiReu8IavpEVdE7WEqcfMM7JWEXr1N8OWCEApumw1LSixLcumRQTQt0vuwayZp8WvQ1JDql7QJUtOrME0FW6MiE8sCRQHdr6KoErXeMGs2mHTjWjSHxaDALo4zl/De05Po0vlACxwpIUUzo17LmoAUXbDxyy5YNlj19sOc8vBxvNdxH9ZuH4FkhS2pqcxe15u4XQZ99wiUTh9xzCnDGZCaydryKFklQhBMUXGUmQSyQiEBu2JwXJe1jM/Oa1jsvN6LKfUlkuL0EqcdMB6GZZFgD3UvFgm3IfVNYO4CqSPREUC54QzpbUS5BPbWhQpU0l1xfHPylfxnw0JmFa/EEHV0jkvlmt6TObxDeF8/h6Zh7kgjGO9BSwmAKQiWuTA9NgqobdiNoOW34VKPlzNffJtThvTn78cdTZYrGYd08M2mPLzBHTRWITFrbZh1GmrcgYaboeo6FaPKjiFN3lm5Dne3WjQl/MEr1FCn5EC+u03tokxLhtotNbmWBTA4Jyv6SoeSnymToS38rMZXhHq2PANMBvYBy4QQn0opN7bH9jfuLuK1WcsJNHnS3v3qLMb07UJSXGSLmbREN7uL255m81MMb9h2LMnKvPxmizJsikSvUFiwsgvjhuxBVQ/chv0TPWQkx7Pn6GpEjUT1gZ4EzjgbH009n7wdZei6yeEDuxFnfYBR+wVakzQz3VBITcvi9OxBPPbR9/iDBvlWaoNko6ErrFvcnezMMuY9M4jSHYkIAV1HFXP0jWtxJQbRHPU6sQ4TaZmccPFCUjuEwjBSgmkpvLVjBMMHLYw4P9OEyvLQ76HoUFvt47sH5pNVVI4SkEghqMtRsVyChDydOt3DrKXlrFixkInn5LLTZlGrR0nR0yCQHbqMR2Ts4KxeS0mwh3tnQkiSHV5cqs77o76iPOjimbxhbPEdRvekUAhFKAmQ9jHoy5H6NoJ1n4K+mnQtetaIAPomdmz4O8nh5Jbhk7iFSVGX30+ousuOt8KJXhF+fcom/3ZqKh0SE9hbURVhHyQhD3jG2k0c3as7lpT86cMvQr3XLNlkLEPg3ZKMo6MXe1oAhESvcOIvcId5fYpbjxoXlpZAcVqY3palIJ2axjF9e5CVmMD0H5aHzVMVwY1HNt8p+pDyWzS+hIQl8uqrPxBCvAOcDLSL8f1y2RYCRuTTWFUE89fv4MQx/SPmXTR5JBt3F4fFXFVFoKlKVD3e1jyQg6Wx4dXqDbG0QKmT/LCwK6uXd6RTVjVP3PIFLocB0gs1d/PWSCd/XHsWq4VEJAuynW4eOeJ4+mZ0oG9Gh4ZtSuskgnUP07RkGgSDhv2BpJROLNq4m8Wbd1PlSWbn3myy08p4+7GpVJc6SSiqQvdp7C8x3rW0Ax/fOo5zn5kXFjYUCiRneCjwJuLWdLZVd2BNWRdS7F50S0Frkoeq6yozZzRqHyNh3/ZSFE0QyExAaio2v4FjtwchwZUU4IS7lpLevQbLUHjApfDR9qHMyW/SIbrRTlKcdbi0KNeDsLDZLPprBkk2iySbzn0DF7AoUMVjW3cxJvUIxqQdhSpUsI9C2EfhcJ3NK1vPZoBtLxd02MLrxX3xNwo9OBTBVVHKiFtDVRSeO/tkLn3zQ6SUBE2r2Tippqr86ajDuO/ruXgDwQhpRwCfrvPeqnUs3LE76vwGpCCYH48sSiTYzJuf6VNRnGZEO3qhyIZqvJbIToxHFYIXmxheAEUo7CyvpPchjO02R5T6nV+En7vIIgfY2+jvffXT2oXmxG9kC/OOGNSdq08Yh8OmEee047BpDOnRkTvOn9xQzLAfh01jbP8uYbm3ELrfE93O1tqVtXLwEuExSQgouIsNbKUhWUVfwM7ughTenzWw0cJ1ZDoqeGfUq/xwUg9mn/YHFpx5FWOzouRCmvvQXCPRDY06vw2vz44/6MTneIy09FxqfQHOnjiUf14yldQEN29/MolP35pATUUcosrEL5zoSS6MeHuo7N1UqSl2UbAhXOvX57UTDKgsLOyFaSmM7LCbS/ot4PSeK5gfVKmwwJCgSwj4VZ5/agh5WyM1KvzZCUibCopA9R3o3HD8Hcvo0LMam8PCEWegKEGmdV9B35TogzYAG8o7Ra06k1JQVZ1BbqPYtlM1Getcx17vZj7e9zr/3fFvLMui0DuLhfnnMi//BHomdqTScnJhxhZu7rSKTnYPLkVnWFwJz/acT6/45KjHIaWkYE85xfnR37AG52Sx4M9XMqhjVouFKbppMbhjFvP++AcuHzcShxbdAJbUelCaWsx6xnTpxDF9enBMnx78+5SpvHPpOcQ77NjrNR/URg+vQGFchKchTdArHEijdVOxs6KKGes2R3VWgqbJM98vbnUbh4Tfa5FFvejwlQC5uQeXWD1lZG8+XrguInPAsiwmDOzW7HoXTRnJGUcMJq+gnLRENznpSQB4/AGembEQ07QwLcnUUX249ZyjWbB+J49/NJ99ZdVkJMVx+XGjye2QwrOfLmT9ruhtv9uC6rGQvgBNb6mgrvHtDz25aNpqALaXpPD6D0PZWZbC4Nx5XHjiJER8pJGx6t6FmvsQBLFpFjbNDkompH+MSyTw6AfzeG/eGuw2Fd0ICazohsaeTdkoJgi3nUCi84C7n+rCWeQBqVNT5CZnYAUFu9KY+fp4KkvjueHmL7mv3xLWGSoWAqXehbCkYGnARqKQKP/P3nmHx1Fdbfx3p2xV75JVXOXejQu4UUwHUwMECBACIYEQEkgCKZCQkMZHSAIkBEIKhN57sw02xr33bsmSrd6lbVPu98euympXtoxNsIne59nH1sydO3d2Z86ce+573mMJHrzydNqanVFjlYBURTjAHDEAMvLCTMr2kTW4CVWPvuOdqsWcgk3sacrCRu+oBNyOKn8inxwYwvS8XehK+J4wbI0VlQPoJzRgf1R7BUhUTBrtILtbt7Gi5pc0+d/CkuFQgzArUDWJVCTnppdybnqXlFeRAOZWcEyM6nPHpnJ+8/1naahpQUpJdr9UfvLHKykaEl3nbU9tPevKK2Jio+3QFIVRuVk4NZXdtfVcO2U8/1y+mu4zGo+uM7GgH7tr6+P2k5+SzK/P7xSRl1LywAVn8/SqddT7/NS1tlER4d/afo22ncm4i1rD1YxtCNW6CJQdHa2MiubDZwp93hDyy8t22A8UdPk7n25PgJTyMeAxgEmTJh3W1zB2YB4XTR/NK59sJGRaqIpAURR+dNnJpCYenCvocTk66F/tuGzWOC6aPpqq+hZSEz14XWGazynjh3DK+CFIKVm/5wC3/eV1LFtiHsbCXTxoAdkji7I95vv00jH88YMTIy9ewZb9Nm+s/Tf/ufNKirI7PUlpt0HzfRCVKRUiGKxgy/KH2R08m5c+2UCoPTkDOqUs23mlepfVlogBDmZ50WuCZAxoprnew3N/Ph0jqDPtxO2cW1zFVkONYccKASG/xs59CTRXeAkGtZirFIDt1KI2K5EkkvxxNZFU41gUp1Rx4aDVWFIhzVnEszsyMGwVS9oUp1Tyxt7xbKgrZHLWHoSQrKwaSElTOrcMXs+8qkJmZJTjVO3I9UsEJuDAtn3U+16lK91MYmFK2GuoDHN0Cw1IE5T0qE0tTX7uuvbv+No6qVjle2v4wdce46mP7sTp6mQ9LN5d2mO4QVUEo3KzURXBKX9+Iswpt60umXnh70ZRBBP653DTjMk8s3pDTD8uXcOpqzy+ZCWzBw8gOymR8x59ksqDVJKwWhy0bkoLWyQJRzPDrd+xWL8NvrRsh5XAECHEAMJG93Lgq0fzBHdcOpvzpo7g4w27cWoacyYWd3iynwW6qpKfmdLxd4s/yIsL1/P+qm00tQWpbTo4DahHdJGNBHDXWJ33dzcT7HQYnDNzG5YteGT+FLoyfCUKbQGDP736CX+46fzODo31IGIpRU7dRIQ+4A/Peggp0Tvbr8NO1hB1Zmw+vRBIVSFjaCuZA5t5/9VJGBEZyYtP24ICBHt4QKUtWPPSYJJzfVjxFsqQ9BtQz542D4kpPk6+aBVLHxxC5uhmZn5zU9yEBQBVkczq155ZuJXR6dAcSifL04/p/R7k7qXzeXOvg52NYU9TIVx25697xqIQTgh58oR3GZ5UR5khmJi4hzojgfJQDjZKbBxOQK0VoZd0QAOtGKH1j2q68O11WFYsbc8MmSydv5nZ54zr2O51OtBUFatbnNahqtx40gmsLtvPytLyKO8+oAZw5fpQnDbSAsVhszulGdSz+dW5p/HTtz7EtiWGHZZEDRgGL+9ZhZYe4NEyUJu8NLWE09kPic/BIJ03atihG30R+DJ6vlJKUwhxC/A+YarZP6SUm4/2eYYWZHUolR1NtPqDXPnrp6lsaDmolytEOD58sDRlJSjR28I6CJpfRk11Er1BLEvBMBVURTJ2aAUXnLKFoKFSlNHAzqrMmP5WbusmZK0kEi9Dy7ahqcURnt7GCVI7dZVvXDmVJ/+yCNuMPV5RbWZ+ezN7txSwbNtQXFbYPGV4gygCshRJvS3pXghI1WwObElFUW2EQkztSs1lccIluxirlZE9uAKPJ0DieSq555aiumLH0Z173HEeBVJdddiyjaq2j/n99CuYO6iU57cvprRlN1sbnBi2gq+9PJIF1606k2dnPMduS0EVknS9lTa7Lqyi1u0ctg0Ve5PwD2rEtgSaJmlqziN75KMxY6mtbCIYiKMDYVjUVUdPuc8cPoT7530S01YRglOKB/L4kpVRhldLCeIZ2NzBwZUW2IZC5WoPt9S/wqMXfIU3bszm2v+8TFVzK7aUuPu3oKcFO8rBy4Qg7gQH/t1JHI5HqyoCRSgHTaA4FHRF4bKJPZeA+iLxZQ07IKV8B3jn8z7P54EXF22guvHghhfChuHcqSN4dfHGHrV9badAtHQa3naHMZQouOvmjwk1adQ0eBk5qJr8vCbmbxuEYSnUtsYPn3hcnZlPUkrQRoGShjT9iC53U9DQeG3BCJA2EiWmPp3LGWTqpGVoV03gyafXEopifEiS0ttIzmwhPacJMk3sSgXFEqzZmE/+ydvop9nssxR8kg4DbAYVVjxTjL/BTe3eJGwz+pwSMAMaGz7IIeXSFpqUfnzXux3lyh18aqrEz+Xr+bsXAiwZYHHVH3i1cjOXFFzHQydfxS0fv8GGum0xx/gslXfr8ihOCcfrVSEpcDTQYrlIVP2oXU5vhVTefXgsz5Yk0n9gE81NTurqUvjPxx66FM4AYPj4ItweB35fNNVN01SGjS2I2paR4OWPF5/D9195pyPpxpaSP1x0NhJQun4HQuIe0NJhRCHMv1WEjSMzyOpdNVzz1EtcMm4kDT4/NmHaWFfD236MnhwilGBitfZOu8Gpqdx91ilsOlDF25u3YVh2j0kUEGbwSAlWZFalKwqqovDbuWeQ4HT2eNwXBnl02Q4Reu0qYL+U8tyDtf3CF9yONdQ1t/Haks2UVNazbvd+QnG8we5QhGD6yP688snGnhsJQSBDRfWHPWAEGAkKlkvh2RVj+N2lH+B2mMzbPJBvPDAXVZFYtiBoxj4kms9Grfcz+5zfA2EDlJWZyA1X382sET/DCNZj26BrNk++Pp4FzjzaxtskbVPAkggpABtdszn/jAWUtlSRNt5J8YpvsHtPM4GggapbqKrFBd9YiNttEPTrTErfw0Z7GBLJv1+fyBkn7sLlNJnqNCk3FSoshZZ6F6/9bhKlpf2ws1WqWl1oWgjFtDHcgpqZblqKdYSEqi0usu7x8X//WYBXCScACFPt9SzQtqHan0SON1yd10ChxLeTh3bey21Dbqcl1HNs07CilzlVIfEqAZpMD0mqH9NWkQHBwodHU7U9HFvfvjUdl8vk5Dn7aK16nISEcxDa4I4+Js0cSuHgLPZsq8SIzIKcLp0REwoZMb4o6nxN/gBTBxSw5PZvsrykDClh6oAC3LqO3zA6hMWBMP0rjnsmFNBTgwQPeNlZU8tTK9cSiMTztaRYLz7cGWhJwV4Z3/bDf/fBIoKWia4e/LeZObg/0wcW4dQ08lOSWVd+AK/T8YWUBjosHF3P97vAVuCQAe4+49sF28uq+cYfXsS0LIKG1etSQraUDMzNYERRNpsOpu8rBJZHYHmiI4tLdhVx2v3XcvaY7by9YRihnoTKpcRRb+JshbZuq97VNS3c/9BqHk26jNzUPSR6g2zalU2d5qL1FJAaNI02cVUqaC0CXDaXn7qAoUVl4WCFGuLim98nuel+NmzZTUnr32ltcrD4nbHkFtWybvFQ/K3OiOGWNLW4uO7nF/Lz777P4JxmEvw6G54p5vWXh+LPS4IUAYrAdkvMJBd6dQulV3sxEhXaXcuGcS58/TSKvU0d3mahGvaku4YxQqbKvtZUChIbojSKDany/M4pfHfch5hSUB5MJ0HxM9a7g7VVVzIwaSDLKicT7GZobakwKDm6mKUQoCLx2Q5Wt/RnbUkR5rMuEraYHSMZPrKOX/xuMUJING0FZvXjqN6LEUk/RwhBMGCgOzRsy0YIgZSSoiHZ3P3w1zri6RsOVHLX6+9TUt+IAKYP6s9vzj+dVE+n+JNb15k2oJDFEUFxaYkeowTSCu8Imha7azupbdIMe6Axh0mQVu8YpjLSbzBi0IOHqAq+vKSM+y84ixR3OHlk+qCig7Y/ZnCUjK8QIh84B7gP+P6h2n9pxdQ/C+7+9/u0BUIdyRa9XVhzaCqrd5bz0ytPi6mK0VsETZ1X14wk1L0uWgTClHjLTRwHKZ0VMizq6nxs2pXD0vVFtLS58OV1iu9IHfwFNqHRAaafvI7+uZ0GSAjw2Vt56/1VDB2awKfvjGTNoqHs2lDI4rfH0tLgwTTaXwphikRjs5vtTpN/HMhj8uIrebR5HP5cbzi23B5fFuH/B/MSMN2CrnN6qQlC6SrL6zpZJ8W6RZ5qoyBRpcQIqKx+cRB/XHc6i/YPJWBq2BIq2pL568ZT2dWUhSUFpYEMGk0PkxP24FWCCCwmZO6iKLEGpxr2QlVsXIrJr0YuZrwrQPenThGQrrdhKypjimo46bIx4bxowmV7fvarJXi9Jh6PhcNhoSohzNZXIPgRAA/d8yrbN5RFJDrDfZfurOKtZ8LlkHaVV/O1f7/Irtp6TNvGsG0+2V3CRY8/zVsbt9HSRbDmJ2fM7ghGypCK5ddi4ubSglBVtGJfO4wGZ3wWjVCwumTWqb10MHoDXVWpbDr26GSHQjvd7FAfIEMIsarL58ZuXf0R+CHxFl/ioM/zjaDFF2BvZXyu5KGgayoJbgfF+Zm88LOrufb3z9HsC9A1/DtxSD82lVTGzaLrRE/ujUSLLNYd7qMiLKJsjCosbh//LlnuZhxq9D1iW4JPl5ewcnU5RqhzWirt+C8EKWHJu2NYurOYFD1ExrIgRlpi3JUxYYu4C362Inhz4yAo1BicXU92UhujHBaDQjZL1mbyj3unEvLpaF+HV5nEq3smogobK6JylpdQz6fNQ/BLJ/mOWhQ6M+tURXLr2A8JNeXxaU0BKXqAr+TvYEhiI6aERimo6OYVt9W5aP0khTPPPpFLL72U1XljeeQXr5OWtj1KgGi/P4E/7xzP0vo8Ml2LuWF0Hos/2ITZ7fcNBgxee3IJW9ft4+2aUvxD3VEvINO2OdDcwk/e+gAQPHDhWZw2bDADM9LIHmhTtUcBIfHtSsQ7tAlFt8NMBEUSrHZjNPQQR7UU2nYm4xncHKlgInA7dH499gqmnVVMSyCIJSV//ngJz6/Z2KGAdiQwLZv81M/ONDoOUCuljK3bBQghzgWqpZSrhRCze9NZn/GNoHuV165IT/LQ0OLv0RNWhGB6JKmjMCuVd359A28v38LiTXvJSk3kKzPHMCgvgz+8tJAXF60/hAGOA0nY+B7eUQB4y6BpZKf9HZ9ZSoarNcbwSglbVvUnGLAIxqQm9zAsWyF3cA3569NpXO1CscGITWKLQIAloYv6GBYk7lBZ4BvB0pXFGJbKqcN38+PzPsZQJcEhLVz7r3nM/9NYWucXUnZJAqhgSRWBja5YXD5wOUWJdaxu609/Zx1qt7mcQ9ickbOXC3L3Rm3XRDjE0dX4GgGV5Y8NpXZ1Bou3LSLljjfRC1v53tNTeOM+s+NLPOD3cu7iC2k1dSwUyv1w+6fvkDReJ21F7HfXUNvCioXbCUz2RBnermiP1d7+6rt8/N1vkOpxc9W4ifzxwCosv4oMKbRuTEX1WgjdxmrT4gqnR6HVibEpi4RMm1PG9+PaITMZlBgWt0l0hY32zTOn8uG2XTQFgnFT9XsLt65x9eTx/72il0cTRyfscBJwvhDibMAFJAkh/iOlvKqnA/qMbwRup86UYYUs37Yvit3g1DUunjGGZVtL2binIuZ3cmgqj9x6UVQKsssRPubiLlWFAb5/ySzSEt385c2lPTIoNEVgSzoVziToLTZa/OIAh4Tmh7TVUD8p7P0MS67AFUf/wDIVyndnx+khPoRik5HXwPAxZQwacoBnb55Fc6UXrTmAmeKO9XIjYt7Slh37PCUKWpuCLQVtEe2A+VsHoqc0M3naehS3hROYc/s66u9IoEg9QEuGi8q2ZAoT6zmzaCO53iYAJnlLOkocdYVJOMU5ns2TUsWwFWxLoFiw7Kli9nyay9i525l2zXYMh4Vhgr/1ACO/oRIS4AX+unssbZaG1SVq57dMgtPdpKwJoHT5eoUIh6+skImrxsCf50D2UMOvvf287bu4ZNwoXv64FDvQNdQDVlvvI4U2Ekf/FoKawSufhHjxvTLSPB5+cPJMLhgzAiEE6V4Pb3/ra7ywZhPPrd7A/samXtY27kSK28Wts6bx1Ulj4+5v8gd4cd0mNpRXMiQrncsmjCYr8RhZgDtKbAcp5V3AXQARz/eOgxle6DO+UfjF187gG394gerG1khOhGT84H58/YwTKMpKZcOeiphjfnTZyYzq33upvHlrd/VoeBUBuenJ6C0W+6obEQK0Noka7PnV3HVPT55xwj4oCrUwaEY1A2gLG5tuSQyWqdLW1HNWoC3CBDCn00DaAldqgH2THdy68EpSnW2MvaSc5oe96E1BpEPF8jjC7nTEFRVSkLNAUjcJgukSRUhcDVoMmT9k6ny0ZiSTp3VmbCmazXk/WUFSjj8u1xdA2BI1cjf7mxxUbkvBnRwie2gj9bZGnhL9wjFswQpfBm83FlKzNJnW5V7U9Sq602TaNdvRXZ0erMTE4ZG8uTqXy044wNK6PEwZ63U6HRrkOlEPGFiWje5Q0RwahmFhBk2S9gRoGuHBUmTcEEz4+i0ChsnGA1VUN7f2stJKZGWte2KEsAn6IFiREolCCupaAvz8nQXUtLZx40mTAUhyufjGiZO4aOwIzv3bU9T7/B0x695gZE4WV0bK03fH/sZmLn7iGfwhg4Bp8tHOPfxz2RqeueYrDMuJ5a9/Ifiy8nyPJ6QleXj5nmtYvbOc/bXNDCvI7EjeePajtXGPefyd5Vxw0qhDVlu1bck9T77P1tKetSBGFuXywE3n8fhTn1C9vT5OWcMw2qUXJGAkC+xkjfyQi7rK+Isdxf2r+eOP3kFTbEzV5pOgHsUmsG0IBTX2bsuNOdbl0rAsSVteiKzhVZyUvYt1GwdRuj0PPhC4BkHNwCQWeopJHxVCSCehVAdKwMZZHULpwljVWwU5H4NUbW667yUeWHVFXE5vIBRNg1I1SXKO/5AB70a/m1feP4HSrZkk7w/iPmCRkBYk+d5sMgufQREmqiaxcVJjKvyxbALNpgt7kEAZKHFeZXCmsiYurQthkTVS5fu3zEWcQ3hi2Q2WkPzuz9ex+Pm1lO2pZsT4Is64ZDJfP+f/AFAMSb/3Gqgf68XXLzztt53RnqwlJaqiUNfmQzmUcpNi02+4RYurMRzVadPwlyZg+8LfnwSMRmeH4W1HwDR5eNEyVKEwOCud6QOLUBWFNK+H1264kptfeIMNB3qvWbJk7z5M20ZTYr3y381bRJM/0BGyC1kWIcvip29/yEvXH9Vk188EwdFPspBSfgx8fKh2fca3G4QQTCouYFJx2GD6AiHcTp2d+2vjtq9uaiVgmLgdB+dNfrhmBwvW7urxJZvodvL3Oy5FV1WuvXQqH7y3MUaZrd3omg4wEhVMJ6gGDE9Px20o1DS3QcBGiXKsJb/41vywPCWgAxMdJmsCOoEIs6KxJpFXH5+NtKMfHpdT56uXTOHkmUNZvPVDXnijkSVrxlJfm4QWqROWuh6ctdAwTiOY5Qov8AmBlaDg86jorTauhm7C2pbCrlX9yUxrpLouWi1NYDOwsJtyWU8CGF2wqa4fT2ydhZWgIKdArekhcVeIfu+08usbWsnLP4WzzttNTq6fDZtymHdSMs2WCxsFtHCCSACNRa5ihjiq454jI20Aj7zxa+bv2smty97G30Vc3KGoTM8tYtywIsbdE02xyprTn4r39qBYoPltMpe1YOut7D8rDTvOetmzqzfwr6su7tDg6AmJQ5tpdRkdEpCq1yRhWBMtG1ORhoJQwA7GTycOmhYPfvQpDk0lM8HLM9deRrrXQ1vIQIljRA8GCT16yp/sLom7VrK5opqgaeKMU0n6v44+z/fYgZSS5z5ex2NvLaM1ECTR7cTt0GJE2wHcDj3uDRQ0TBau383K7WX4ggabSirw91DV1aGp/PDyk3ln+TaklEwfNYCf3HEOv33wXeyIb6gIBYdDxe83ECEbtS7iuyqwVdRgOQWkKaAo6K02zvrw/vRkHylJYbEdyxas2JDP0vUFvL14KGlZzRghjaa6xI6xpCW3cfXFKxk/roxGU0G6G7jrl8uprxX4A+koqhlmLkSgWODZD4E0JexhdZ0BKAIjUcHR1P2FYLP0vdHMuWYJz797GratYEsFodio2MyZtrrzt7DDerI9WV8pIWQorK0pQigSGaGGSQe0DHbQPMhJ0k6D/WUJ/P0vkZikKmkaI7G78a0lCvt9qfz16rOQzQoF42qY9e2NJOf4UYSLgclfR1EU5hQP5V4R4pcrFmDa4Vpps/MH8IeZ58Qd47e/cxbf8T+LZ0Mzqt/Gn+WgcbQXMyH+gllFUwvpXg9fnzqRf69YEzejzOG1UDxmFFlUCJBC4sj2Ear24BncRKAsAasl/nkM28YI2QQbm7nnnfl87+STuPSJZw6awRYPuqoQNMPaIN29X5em4Ytz36tC9JpH/7niS6xqdlzixUUbeOi1xR1aDY1tgXBNK6Jfki6HxpWnToiZHm4vq+abf3yJVn/okFxhTVW4cPpofvWfeeF+pOR3zy/g9ktn8fqzt7B6bSmqKpg4rj9tviBPPPUJiz7dQWtbECnBn6aGDW+XMRheBSUEequNJQWKAq0+B9/59blU1SXgD+qAoLYimprgdoZ48tcvoWsWDt0mX4Ipn+Mr30zmoXsvQEodq4cEEL1FxKQuQ/gL0zwadqsJwkZRJGmZzWSJKj66ayw5qdWI8QKZrJKfX42xV7LmXwMZe95eHF6DFMXG0b81XlH1cIxTgqZKLh+2nEvkKh5cd3pHjTbpCBfZTNrZ7eG3REzKc0evFhghDcWEfaszef67M7nioYWULprKnO9NorLtQ3Y3PkG6s5Z/z5mES7uKHM8gUl3x+bYAk4vyufqy6TzWbyWqGk7x9kTScFuCscUoh2WHBcdvO/lERuVl8+SKtdS1+QDYV9+IqipMHJLJHr0Vn9WtaocCeloQZ06A4AE3zlwfvlb9oEI5pm3z0Y49IMMFOnu6YxUh4t7PTlVjyv89iqYoXDp+FD+cM7NDL/jS8aP41/K1UUwKXVWYM3Qw+kEYRv9VfEFi6n3GNw4ef2dZjEhO93tOUwWXzx7HjWdPjdpu25Lv/uV1mn09V3jtCqdD47VPN8bQzx54cSFThhUx86TOkvPBkElmRhKqqoQXBAWYHhHLq1UEoSQFW5NUWV627c3ggyWDKa9KxrR6vuENU8XtNGh3XlQRdqwmZrQwYvIe1i+OXxcPAdJpR9QYoz0fXVf51Y/OZdzwfL7zg6dxZixH7A+yd0k2iiq5+GefktKvFT0ipiNtWP3SIN78+WTO/Olq8kfX4BGSpi7aEVFacEo4M03FxJYmN478mF+suIBOncz4Q3bvtPBNVJBdx2tLZK3CgVPdtPXXUEKQujbAP79+Km6Xi49m/Q4r61UM20/I0vCb76CrC+mf+DLQs/EFuGXmNC4dN5plJWUkOB3MGFTEm5u28cv3PoryNMMyn4L523dzSvFA5gwbzJxhg2P6K22t4aolO2K2SxuMWjfCYSGlwF+agJoYCqcT24KeZxCSNeUHejS8SU4nt586nedWb2BXbT1SyvAHaA2FXwCmbfPi2k20hUL85vwzItc9la1VNawoKUdVFGwpGZyRxi/OOXi5pf8m+jzfYwRSSuqafYds59A0bjp3WozXu62silb/oQ2vQ1NRFMF5U0bw2pJNMfstW/LBqu2cPnowv/7DO2zfWYVl2ShKeIEMDq76JxVwNobvqnsfPQV/QD+o4QXwuDoNbzuEgCzdpmhoRVzjK5FIh+SkGZtYPW8shhltzIYXZnHSxHD5oJNnDufJf9Sg7gun1hbPLiMlr63D8ELYmE64ZDd5I+toqvCyd3saE0bVkK9KDlhhgcgUG/ZVe0jIia6vpghIcfrIdLdQ409ChCTJm4NhLpHsHJfitChMq6NETSVoadgoqLaF4VepDyZiD4mkRjuhdpqbYIZK0YfN+JPfYEHpEN7bN5qgpePRgswdsJ5cz+OMzrwnaizVLa28s2UHbcEQMwb3Z0xeDtlJCcwdM7yjzcXjRpHkcvHnhUvZUxsu1GpLyYrSctaVV3DigAL+dsWFcX+rooRMpqQPZnHNDmw6X1zSFoSq3UhTILwhNB0UnwdH5E2qKQo+I4TVxeAoQjClfwENPn+Hh90VDlVl3q1fJ9nl4rIJo9lSWc3+xmaeWrmOFaXlUW0Dpsnbm7dz55xZJLtdODSNx6+4kJ3VtWyvrqUoLYVRudmHXKD+r+ILMr596cXdIIQgL/3Qos8h0+KD1bGeR8i0Dnpj6ZrKRdNHc/Pck3jj3q9TkJkSt+SRbUt27q3mqhufYMu2ig6d2K6JSMIGES88J2VYPY2wn1PX6MUXOJSQiuTcWVvj7rEkNNV2xoWd7iC6w0DVTLIL6vn2j15lYnIZyS0+hGFHtIsliSLItZesYUXlNylpepa55w7HWe/v8L0GTK5Ed8epmycgZ3gjg6dXUleSwN9+ciJlQZU0RaJWubnvwnOQPej9IgWqZSMMSUZjG8O+UoZ7cBDhsFHcFnpCiJm3bmTa7B2cmLmLAYl15HvqmSDL4CMdqUSHcKQuaCl24B1qsODAMN4uGYvfdGJLhVbDzYu7JvH23pKoIczbtos5D/+TB+Yv5uFFy7j6yRe564334y5KzRk2mF+eO5ninEpSPE0d20OWxce7Spj0+79wxb+e5+FFy2jwRb9sfjn2cuxqL7YhkBaYTQ5at6RGSv4IZJsTo1Ujze3m+mmT+MdVF/POt68hMzEBjx6+Hzy6Torbxb3nnMpN0yfj7lYyy6mpnDtqKMkuV+S3EYzMzeb04UOo7KEyhaaoVHUTbB+SlcG5o4YxOi/n2DO8vf0cZfR5vnFw20UzuPtf7xM4yMKDadn86pl57D5Qx3cvmtGxfWRRTo9cVID8jGR+emVn4cUZowfw59didV0lkg827ETka+hNNo6W+BlurnoLf6Ya4cwIsCVIcDbFFtA8OGlAUJjXiGkLtC6i65aE0pDK5mUDI1tsBozYz9Q5m3EnBElK9eFrdfLPX88hFHTgxYoExyVCEaxet5Xhk0qoD6zGrT2L6hxLEAfCtGmtc2FboHRzyEUkkqK4LIadup/tH/dj3dv9GTu3hFYVhGbjSQ1EFuOij9UVk1nGdta+M4iR95RjI/GOqiK0XyfB9DN99PaIiI5NP2cjzoDFv3eeyBah4y20kXHeUcKUNGheNpSPIGRHNwjZGm+W5HP7xFZ0NQFfyOCO196NKmYZMEze27KTM0cUM2vwgI7tUkq21T/A/uB/uGq6wsdbRjJ/yxgsu/OxbAkGWVN2gM0VVTyzaj2v3nAl2ZEEhT99tJSmUheUxuG9dUFFSytPLF3FuaOGsb+pmQyvl+qWNlyaxvRBRfz6/NNJdDopSE2hormFPy9ciiD8AshJTGBN2QG+8cyrfPOkEzihKL+j39F5OZQ3NsfEgS3bJj/l+Ekz/qLCDn2ebxycNqGY33zjbAbnpaNrSo/GNGRYPP/xOrbu6+RE6prKz66cE7e9osD9N0ZLfOZnpvCNs6bi0rVwvC+yXUoilSQEoRSFYEoPP5UtcdaZaK02SsBGb7HxVpgonyFT9KGnT2L3vjQMW2DIsOFtsHXWrh5IS0MCQkh0TVKyNYf0nCYSU8JT1M0rBmBHaGrtvEmBQNoKbz91EhuWDiIUCvHPBwfRnOIllO4mmJ3A/Pen0lJ/8FipqlsUTaxhy4eF2BaUrc2g3+j6jgUzI6B2fl+Ev+MTp+7kwhtX0LX6hKNfiBNH70RXbDRhR/QOJGPTyzghq4Jbx0/nrGljUeI8iFIVfP1r5+E3o1NnczyN3DH+He6c+Bof7pvK8opvsLRkA2ocqpbPMHh9Q3TR7n0tL1Pa/BxCmLgdIZbtHhpleLsiaFo0+nz86r2PMCyLkGny9Mr1B/3uoo43TP6wYDHX/udlNlVUYUtJwDT5ZHcJjyzsLGx53dSJLLv9Jv58ybk4VZXyxmZK6hv5ZHcJ33j2Vd7c1KmPfPOMKV1KG4Xh1jW+Pm0inkNQL48pfEGeb5/x7QGzxgzihZ99jeUPfZcbz5mKepCMpPlrd0Vta2rzR6UbC1PirDHxlJv88c8fsH1ntOzk9WdN5l8/vJyr50ykICsl9iQRyla8GK/lUQhmaLjqbbxVFq5GG+UzFhxo8zu46d4LuOWXc/nzM9NpdPyVj5f9mn89dSLBkI6UAsNUMUIOtq0p6HgptTR4uyiedRufqbLwtQksfW80Zbsyw0ZaUcLXJHQe/OvF/GzphXy0dyhGMPZ2lLbADKlIG0JtOsufHooZVFEdEqFAS03Ye+76gtSdNgVD68jWGzu2Jat+1Dh5pE7N5BRtJ2P9Gdw4bkpcjQ+328H5p0wg092ZEuvWQtw+/j36J9WiRix2XWA5Ie1ORORNIBWJrUlke821Lm76p7XzWVH9O+wuNfd6lBJt/y4lfLhtFyf+4W/8Y9nqw6osYRNOhuhOl/QbJs+sXk9rF9aFU9N4dcMWfIbZIYoOYQ/+vvc+worEvgZlpvPMtV/hpAGFeB06BSnJ3HX6bG6dNa3X4zoWIOzefY42+sIOvcA3z5mG1+ng4dc/jSG+CxGmi3XFltLqjptcCUo8VZ2iLOvXl/GdHz7Dr+++iEnj+wPh6WdbvZ9kv0JLa8+LdbYWTqroPDlIRaCEuqz+H+Q6ehdpE+wozWBHaQbzFq8nGDKR3ebilqnx6TvjGTWlFIB+g2pY96mBEYzv7QT9DtYvGRJjoAUCV7WgrC2Rl3efwPL3irn5kg9IzOz8DhoCHj4IjaDxQhcrPr4U5VSJo9FiRNMeilOqSCtoi3tORZHkq/WUbs3CQiFpcBsNbR48uoHXGezWNsC7q3/BiUmJSPrH9GXbNi/t2sRdJ8zmrk/fJ2CZTMnejaZY3bKEJbZsIC9zLxuDOUin7PCaPC0OLhgzAoAtTet4tfxJTkqMpsAN71fOupIB0QyMbpBAcyDIgx8t6bFNT+iJRqYpKvsbWxia3ZnxsaK0PC6tzG+aVDS3dIQVhudk8Y+rLj7ssRwz+Jy82t6gz/j2EmdPHs4jb3was11TVU6fWBy1bWBuGi5HuKabo8EimKyERcQFKCGJVW/xx798yH8evwHTtLjrF6+wcXM5gaCBL0MFdxz6GMSEEhRFYHgF7mrrKNaY7UQg2HPsoqXB2/H/IaPLSMtspqo8jXgmXtVsrIMJeEuwdYWywSlU7s3CmRDOcGuzHNy3/HyCA7XwIpgOJEoC+Rp/3XgqpxRs5vwB8afeVbuSePNnUwmFNGxbUCL68fasBAKZDgZkVnHVSR+jO02qAsmouRbj8zeyzZeBKvIwiA4vBGyLt0u289xZV+BSVe5d/iR53mhh93YYtkFKdiOyKpuOFU8gmGKQlBTu98Oq12jeLii1Mxl8QkVHzPu88SvZWZFH0NQxrKP/aEopY7jqAKZtkZecGLWtPS7cHbYtO8TSvwzomXz3+aMv7NBLpCV5+NmVc3DqKi5HuCS3Q1f59nnTGJgbXUL8vGkjcWgqAjATwiEDlLBBtZ0KvmyVkqoG9lc18uxLK1i/cR/+gIGU4GiyYp8OO6zn23W7AH50x1l4PY6DCu/0Bmp3HcZeIDW7ueP/iiq57NYPyC2qofvgdYfBCaduZsjocrrP6CVgJNGxyCVsyYtLJ/HQm6fz8Fun84f/nI2hqNEiNJFsl7SEViZllcQVnpESDL+Gv8kZlmMMKqgBSeb8VmRAsKc6h1d3TubTlmJ2GdnsCOXwqb8YSxE91o8rbW4kYBqc1X8Yvz9pG9PzdsVtJ6Wg3Jca80TbSB7bvByAA7sbKP91NkseHUGoTccMhb//ZHcbPz7/Ta47sZAZg4rITPCiHUrfoRtykxI7Ehy6I57hdWkaF48d1SEx2Y4bTzohlvmgqpw2dNCxWYvtSNDHdjj2cfaU4UwZXshH63djWTYzxwwkN62TllZZ38KWfVVkpyTwjzsu4+5/v8+WkspYL1ZAKFnhq9c/Hi6m2cWCqKFwWflAqho2ShL0ZhtnUzTbQQK+xiAv3X0Nl17114PeHELEJol0Rfdy54eCriucduEWFOHElkFCQY2g34kR0jjjq0v45I0JBP0OVM3mhFM3c9JZG/C1uijZlkfIn0gwaGFHlL1qJ3f2a+uC8jEJICOx1XTiqn9pisWYnDKyPM0xX237deYMbYwduJR4S4NoU0yy+jWGdR26oEKmIrCJDeBIagNt/GDxu/zf9BNpNfbG/V5MS6G8KY09zZkxbo0EVtRsxGfOofH1dKTho6Xaw9Pfms24C/fQb3QdTZUeLj3nPi4edkLHcStKyvjaUy8d8tlXhOCScaP45bmncd/7H/Pc6g1RdeDiGV6AgtRkfnrm7JjtZ40opqyhkb98shxVKIQsixmD+3PfeacfYiTHH/qSLI4TpCd5uaSbTq9tS+76xzvMXxPm/SpCIS8jie9fPIsfPvZW1EMAhD1ghwK2GT8GF5AkVETvi+f/rFizh4vnTmRw/0x2763pccyHoQ7YK/zkB+dy0rTrKW95jUbfHv79bA2blhdSPG4fwyeWMnbaboIBHYfT7JCu9CYF+MbPXmPL8tHUlp/LRy2lNPUHu30Ga8mwwWrP4+4cPd2vXkqFNFcrUoqYJ0cI2NWYxbu7R2MkCvSWzv3CAjVo0y+/BkWNfeGYtkqq10dFc1fPTpLibqM16Ob90p3cPKYFIdRwmfmoMcH++gwenX8mxJFFVoRNWkITi2rewyxzgwxzdn0NLpb8IxwLdnpVzj0hD7ooLSa5XShCRC18xYNDU7l0wigAbp01jU/3lFLZ3EJbyMCt6xiWFbdaxb6GRlqCobihhBtPmsxVJ4yntL6BzAQvGQnemDZfCvRRzY5PSCm54Q8v8OHqHWERdBlOs9xX3chDry3G6l54K3wQSujQ3uah4lE52SkAXH3NSeFuD3/4nwkP/20BQb+bgSnXMSHvl8wefSOq4iLoc4aFShRweQwsIBipuQbgcJmMmbmWoROf5dxzx4UNbyQhAzUclnGpIQYmVZPhik/gF9gkeXyYqoYSx2UJWSqb6/PY2pzH3quT6Mrckir4sx0IRcalD5pSiRtrT9H8TOu3iwSHRasRraVgW7BvTSZbPyxk84YiTFPHEzJRRVev00ZXLfpnVLKhaSVDhhUg4pVUMgU5/aL1NlaUlvcoQKMpCk5Nxamp3HDiJMbkdVapeP3Gq/jt+WfwzZNO4CdnzOrgBsfro6ZbQkRXeBw6w3OyejS8IdOk4TD1f48pyD62w3GHVTvK+Nf7q9ixv4bapvgr7rsr6uJrZktwNMX+modz+wohuPziyZRU1vOzP79FfOHAzwe1da08/cIybvr6bACKCtJJSfawd2sulqUSEXlgdXV/JmSVRn0HioCcgXspf38PJBJl7M4o3MBZRRsxpYImbEpb0vn75pkYtoYlFUypkJnQwsSiUgypURLIoMhVixYxwoat4DMdfHJgaJgj7ZA0D3OQsimErYI/14GdC82NbnJyBWq3LDlFSGpaOheeMlwt3DJmHkkOP0JILu6/Cq/2LWojL9TmKjev/OhEAi060hZYpkZeQQuBM1xk5+9j94FMDKGRndjEsIEVODULr5rI2d+cxScfbgxX9YjAVgVDZg4kMSVa0D7F7ULXVIxuL2tdUTileBBDszPwOhwUZ6Vj2XYHx1hXVU4fPoTThw8BYHlJORXNLTEMBlvKz1R3LWia3PvuR7yxcSsSSbrHw8/PPpWTiwce+uBjDUfhvSGEcAGLACdhu/qSlPKegx3TZ3w/A95YupnfPrcgRnwnHhy61tlOSpSQxFVvo/ZwaHcDKgE7W0evMbHtiLykqnDZRSfwwEPvs3VvFaLB/JwMb8/ktQULt5GU6OaTpTvYtqMykiKt8Nyf5/CVm+fTojhJcIRiasUBWChUVG7ElTyQgB32EMdm7OPMoo04VAtHJDliQFIt1w1fTLanEVuqVJhJ7DfTOwz2rmA2IalS6KhDFzblrak8te1EfGZEqNyhEBig4AgFCQzXyJlRzdjsJhAyvP6JQCJRUbGkZEdFJmaHprHkO2M/JN3ZGqV3sbfxb0hpgwLv/mYirbWuKB1kd1mQ6WUDWfPPegqED2mFX5QtZyWQ9FU/s7LOorbRovq0NBKWN+KsN7EdgqZiNx9mN9PoD6CrCgcam1lRWh6//DugKoJEl4NHF69AjyyYJjidPHn1JfRPT41pf/PMqczbvitKxMeta9w0fQpu/fATIu58/X3m79jdEVKrbGnltlfe5smrL2Fsv1hR/mMZRynmGwROkVK2CiF0YLEQ4l0p5bKeDugzvocJw7L4vxcX9srwQnS81VtudtO17dKupw5EOKZ83XdOZmBSMqZp8d78zTzz4vKuTf7rqK1v4V9Pf0owZAISISRTTt9IweBqFr45jn1WJkNP2YWRWoHe7aKFImmoTSQwyEJRwtc+d8CaGOqWptgUp1Z2eM5Jto8DNWkYmoKmSlLVNoa4qxAyXKk4P6Ge28e/z29Wn0NDMAGkpGG4k6mXVuPQYmlhCgqDEoYR3JfIW2/WsWeEB8URFrcpSqwnUQ/ECA1JERYvb6t3Urc3KUaAXlo2q9/dHI5HR34ZCTS+n8Rpp01l1NgJ/PzT+bSkKjSfGS0k71YVrvzX8+yure947Tk0FSkh0emIeK1hzdyvThrDv5av7agMAWEe703Pv86737omRj+htL4By+6kmgkgKzGB66aMP9jPHBd1bT7mb99NsNtaRtAw+dvilfzlsvMPu88vFEfB+Mpw3KU9fqNHPgft+YhivkKIS4UQm4UQthBiUrd9dwkhdgkhtgshzjiS8xxLKK9p6ixueQiMH5TL8MKsDs+kp59CAj1klQKgKApjh+QxfdoQTMtm6YrdUft7iGwcFL3RNgnHVGOvtZ09Eex4AQmkVNi4dAgDhlUw59KVTJu8iUX7R2B1M06GpbC/LYVdCWkQ0V/vp0qy3c0x5wmPIXI9EoQhWLJgCFsrcqlt9TDcdQBNyI4MM4dq49aDnDdgXeQAASgs3zMw7qKjhcXe2n188N0qtAUGahDsiOyiRwvGpZ21f29mSImIvMcibvgzpND2aVLkmuJ/+QHD7DC8EP4Ng6bVYWAfvvQ8nrjyQpbc/k1Wlx3Ab3Rb9AMqm1vYXVtPSyBIcyCcPWdYFne8+h4hy4rqu7qllVfWb6EtFKK2ta3XcduK5hZ0LZbOJoGS+oZe9XEsQcjefYAMIcSqLp8bo/oRQhVCrAOqgQ+llMtjz9aJI/V8NwEXAX/rNogRwOXASCAPmCeEKJZSfsbE12MHKQnuHgtgdkV+ZjJ/vPnCMBPiibdZs3M/eCxoi39sMFXBXWvHtZpDh+cyZkB4KvfCKyt7NU4BZGYk0NoWIhg0YpTTuj9nMeQqAakpfmaM38vrH42MtBeoqoKuKXETMEIBnca6BFIzWxk+eB+vrJ7Bn9afzlVDl5DjaUIi2FBXwDM7ppEysYGmUHh6nJ+xGwuB1sMrw7bB1+Dk1bumkn9TPXl5jWgYeLRQTFtVwMi0/SjCxiZsIJoD7k5b3A1B0Qp2eue1S0AI9jZnxk1Hbu8nKduPOzlES3XvHiEpwYroOJ43ehivrN8cUzHiYKZPFQoVza1cPG4kdW0+9jU0xm0nEHz/lXfYEzHiw3MyuW7KhPjZaobJgx99yn0fLIx4wl7uO+90pvYvOOi19E9LiZvarArBuOMs5EB8/6In1EopJ/W0M2LfxgkhUoBXhRCjpJSxerERHJHxlVJuBeJJxM0FnpNSBoG9QohdwGRg6ZGc74uEYVks2rCHvZX1DMpLZ9f+uugbUIZL6qQ4HVx/3hSuOKPzN/rLrRdT19zGnn21/PinLxEKWe2HhPv2CiyPSjAFnA02qio6jOWM04dz97fPQgiBzx+iuaVTC+BQaGj0YZq9u7Pap6NSACrYOgy9YjLJjXP4ykUGKckekhJdjBqez72/eyMutc22FRyusEEpa0ujORSkNpDOfavOx6kaWLaCKVU0YTIxv4R5ZV4ClgPdsLENAc7YF0RLjZNP/jaavcuzSZnTTL/CxrA0RPy6GQAk6EEuGbySdbVF7GjMwbQVAqaOxxFLDzNqVJDQUqxj63S42gHLwet7xjN34Fp0xUKI8IKeYak4FANNhdN/sJbXfzYFyxRI8+BayS63g9nnjAVgfH4eV08ez7+Xr8WWNqpQMOwwv9iKIy8KYZU7y7b5dE8pN7/wBkYPDoDfMNhRXdtxb206UMXd78zv0attCnSmWpc3NnPTc6/x6g1XMSBO3LgdCU4n102dyL+Xd5Y4EoBL17hp+uQejzsW0S4EdTQhpWwUQnwEnEnYQY2Lzyvm2w/oGmguj2yLQcR1vxGgsLDwcxrOkaGuuY1rf/8cDa1+/CEjrECmCBxCRdoSw7RwNNo4W2xMYfDk44uZPW4Iudmdq8jpSV7SR3l57h/f5PF/L2LBJ9vwGybBFAUzQUVTFZILvPzs1tn86eF51NS1ogjBkg+3MXfhLgLBsOE4nOKGvTW87ZAKNA0DIxVMD3z6xBbWKRohw0JKGDk8j9NPGcWlF0zij3+Z1zGm8Lgs+g2sRvWabGrJY3FNMSneAE0+CFo6QatzUUcRkgmZpexrSWdDbSGV7+ajDI/16A1L4bF9J1Odn4w72SDvUh9K5I61UKk2EsnUW1C7PD2WFChIZvXbwdScPZS0ZPDIhlPZUF7ApP57UUU0zUzPNkk5o5Ha5hykI9qcf7R/BOWtqZyavw23FmRtbRErqgbgUk2+P+E9ckbUc8WjH7PimdHs+DCnRwOnO1SmnjKcsVMGhnU8QgbfO/kkLhgzgkW79uLUNDITPPzw9ffj1juDsLj+iQMLOf/Rp+LWWFMEqIqCIgTBLvojkrD8qVPTwIjfd1eETIsnl6/lnrNPOWi722afSH5yEo8vXUWDz8/Egn7ccep0CtNSDnmOYw5Hh+2QCRgRw+sG5gC/O9gxhzS+Qoh5QE6cXT+RUr7+mUbaBVLKx4DHACZNmnRMkgV/99xHVDa0dHgl/pCJpipMGVLApk/2YvmtjrenlBAKmjz30gq+d3OntGT7g1ld28LipbtQhYJb01AbLJKTPFw8dyInDinkpu8+iWFEhNOlBAn+QOdDc7jZaIcD2wXNYb4/ee+BCEp8dJ57w6ZyvnLNX/nHI9fiHeHFv64RISWawyItq4kZ163mk+ahWFJhQGYd+WkNaLbFp7sG02K4w5KUis3XRywi2enHMFS0Ngjs9/Dxa+OZNXctimojhMQ0VNZtGMSetiwYIGnFQXe9x82+fMZ7S0jW/NhSoAjJgVAKBc5w3NGpmggkhQl17G3OYmtFLiNzD3QYXyFA6JD1tUZ8mzTq/f2wuxng3U3Z7GzKAQRePcDk7L0kO3wsKB/OmNxyrKR+3HXn/3HDxw9i9LAIq6oKS+Zt5sbLH2LLeJ1GK4RL1/j61Il8a8YUFCGQUlKcuYqtVTVRxhPCKmM/OHU68z7ehN8XBD32BZyXnMScYUN4asWamH0B0+S8UcN4Z8t22now7u2wpGRvXf1B20B4tnvphNFcOmH0Idse6xC9jHUfArnAv4UQKuG1tBeklG8d7IBDGl8p5WmHahMH+4GugaP8yLbjDlJKPt6wO2Y6aFo2qzbuIxWNtm6hbNOy2bI9LA7j84d45PEFfLBgC4ZhoSgixoAGDrQxLi+HF15e2WF4ewMhwjXgDiaA0xvYkVBD7RQQBjhrBZgyXm4ZjsQy7nzgblJz/TQMTqJxTTqFgVYu+vZ8VtoDsenUP9ZVG1sIbhi/kH6ORiypoAqLWjOJrf48MhLbaNRbQCSw+uMRlGzLY8Skvai6xY61RZQ0ZMLpMDyxnu8NWc3Y1GoapcYHrXnsCiViorKybRBeJYBbMWi2XHiVEAXOBmwJ/9wyg411+RiR1cySmkyyE1vISopO4BACCobWsnNDNn5LDweOAQU7UjdO0D+phlvHfIgiJA7VImBqoKZycv7vSXWkMWBoDrs2749blSTgDxu8sk0VqLUOzNkptAZDPL5kJRLJLTOnIYTgX1dfwiOLlvHahi0ETIvClGQGOxKp/aCUV158lYBl4Z7opW1ArAby4Ix0Zg4q4vk1GzC7GViPQ2d28UCEgBfW9jgLBsKVK7oKpnfHrpo6lpeWk+p2cUrxIFz6cU6YkhwttsMG4LCoI5/XN/cG8IwQ4g+EF9yGACs+p3N9YbB1gRFvCqgICvPDNKIf3f0SW3dUYEQKZFpW7C8dDJm8+e461m8qj9l3MKiqEvdhP1xIFapmgd6skLI3rL4WyAyrqLmr2ulxEk9igPqqJKrKdHSHgUO3GH3pDha1FVO+/SymDd7dwTxoh6JApZFCoasBRVpsaCugxkzEQiUts41xSXvZ8t4oQFBXmcInb0XuX82m+Nw9XDl2J9PSKumvm6SqkkygSN/Ffxr7syEQjku22S7aTCeKIil2VwCwrqaIjXX5UZUnbBRWlgzgrFEbUbqNU3PAzBHbWbR2BGqyBVLis8JVnkHyjRELcWmdv7VLM1FECw2+90h1XMtP/nglP7rmMZoafCAlAX8oZlFT2OCuDKEEbGyXgt8w+cfSNdw0fQqaouDWde44dQZ3nBqujLJg3gYevP0FzFDnyz1zRfjF0dUAK6bk4nEjmTqgkEEZaeyoru3wnh2qSr/kJGYPGcDa8gOoB0lVVoXA43BwxaSxsfeIlPz4zQ95Z/N2JBJNUVCV+fz7qksYkZsVt7/jBcdlJQshxIVCiHJgGvC2EOJ9ACnlZuAFYAvwHnDz8cp0EEIwc/TAGDF1TVWYPXEwkycNwOGIfofpusoVl0xhx+4qduyq7DC8PUFK8PkNMjMSD9quOxK8zs+kSNYdqgkZywSuKgUhBcIW4QKSOuESRUBiShuBNgdGKGzMjJBOwOfAWJRCksOPhRLhtsaiPQ240fJ0GN52OJwW+efvC9dki7QTusUV3/2AuScvY2BqFVUSVoY0SozwtToUm7mJ+6lsSqS+zUOgVce30cV4vYQULayZsKxqYEzJn3bUtcVPlXW6TdQmjcUzn+Wrhds6vP5+NY2sfnQI8/4wln1rMjuMqi0D7G99A4CsvBSeeP8O7nnkam6554KYTLUuXwZqsHN2E7Is2oKxrI1HFi3jvrtfjDK8EF7UTV/bighZYEuEKclqFJxcPJBle/dxzeTxfGX8aLISvWQmePjqpLE8d91laIrCRWNGxC3XLoBUj5vzRg/j1W9cSZon1rN+d8sO3t2ynYBpEjQt2kIGzYEgNz3/elwmxfGE4zK9WEr5KvBqD/vuA+47kv6PFdx5+Sls2VdFc1sAX9DA49RJTnDzw6/MJsHp4E9/nceHH23BtiXZWUl8/5bTGTwwi3kfb+nVjMbl0jl5xlC8Hid33/caoUMYawhPlW+54RT++Nd5R36BENEb7q6+JrAdhFNzfU5su7smpEJFSQZjxpWwe/4A7G8pkBh9l6pY5DvCMcQ6IwErzvs+Y3wDzowg+hodX6Mb19gmsgvrcWqdPGIb2GGq9NNsdAFJaojNZYW0WQ5AMr5fCTvMbJLtEoSQB59KSmKoZ9KGhroEQrbKhYsv4IDhwUIhc6GPxDWwzcwHKdi5OI/B0w9w2vfWR2rNtZcxkmE+9pRB+NuCPPDjF+OfWoCR2Pk9eh06axZsZ8HraxAC5lw4Ca04mceXrCS7qYcYckCSvrYV26mS1GBzxdUzmfnHxwmaYV1nw7b43snTuW7qBABaAkFCpsmgzHR+euZsfvneR2hKWPIUAX+9bC6Tewg1LNlTypMr1rKitDzuQl9LMMiWympG5cZREzpe8AW9O47zgM1/BxnJXl7/xXXMW7uDD1btoLymiayUBNbtPsAp4wbzw9vO4ns3n04wZOL1ODqod/0LM+IukLX/1gJwu3SGD81l9oxhaKrCzTecwp//Ni9ueKIrVFVh285KfvjdM7nvgbcxDKvXIQi3S8cwbcyuq+I96Maqms3QiSXs25SLGeugAaDvVnE0CfY+NZBB1+1GCImi26iKTbajiWw9nEChCQsFSfdSoFJCYoGPU0dtRhM2IUuJm5YsgEpT5ZOKwbxXOQC/pZKfUkdBWgN+Q+f9XaNp7O+lwF1P//RatjXmYXZ7YQghSU9oCxtgG4QKtgHSEmzfVIB0SvYGkkEBvd4ibXUwUiE6/NIwAxq7Pslj1Jn76DfSj9Z4Mrd85yH2bDuA2+PknCumMnhkPxwOnYC/8wuThMM7dRMSOuhsLl1jWLXGn595paPtxpUlOIqT8Y8M0w+V1jjVnYHsKjBDIc6+fDJ/q9tGvT+agvjgR4uZt20X6w9UYFo2iqJw1ogh/OLs0zh92BCW7t2HU9M4cWBhmAkRB/9cupo/LVwS1+i2Q0EcVjmjYw7yiws79BnfXkJVFF7/dDMb91bgD5nsrqhj3e4DLJtSyk++ehq6rqLr0Q/64IFZ9CtIpaSkrpMNAeGU4QSF4n6ZXHPRVKZPG9IRPjj3rLE8/Nh8rEO8jk3T5t0PN/Gdb55KQX4ar721luqaFtZu3EcgcPAVbVVVmDZ5IAsWbe/YlmAEaHU4kDL6GpxOgwuu/oQFL09k3eJirC51xoRiUzikkn1bwixC/wEPKRtN+s8qx5Qq6XorXiXY4WHmOprYGYglzlhSwW6dQI2jgWYMEtQguUpjXFGiX205kcWVA/Hb4ezNA02ppCW0UZRWR7/UBvbVp6GqoHggJ7mRisaUDiYEAk7ovzcq3ittCO7TKftTDs2nJmClWh2rjAl7jbhekRlUKV3ZjyHDEvjdNQcItEXSe9uCvPGfJRSPyY85TAChRBVP/yRsHXKSErioaAjv/OyDKCMd8IcIbqnDkZtM/WgPmStaomryaU6N4lMH4c91MGxkAQP6ZxN8Y1/MGIOmxaqyzjVuy7Z5d/MOalt9/PvqS5g+qIjFu0v5aMcepg8qihJIt6Xk4YVLeeSTgyZoAeH1jePa64U+z/dYx5ItJWwsqcTfhU7kDxm8tWwLXz1lAgNy0uIe9+fffpW5Nz2KbAw/yJZLEEhTcXkd3PfjC3j5lVX89sF38QcMRo/ox7eun90j0b47giETy7LRNZVrrzyJtFQvHy3axm8efIfgQRgQmqbw6bJuKcqNCi5pEkwC21IRwkZTLS488xMURTLzvHXs35NFXVUytqmg6jYuTwgh3R212U48cwNTTt6CpsfPDFNtm6T6IPUp7ohhlUgEbQGd/Y3lFCZDtZ1Bohogx9FE96fCtFWWVPaPGF4AgS0Fm/fnU5DagKba5KU0hfcImFi0j8bMGqpbknCoJnkpjTEaD0IB21CgViVrbSMHZieEJTCFJDejETQd2a0EkqoJBmTMZfnfBCH/hujfJGCwdW0pZhzWiqdV8svTz2T8iYMBePqR+QQDcaYTtiSp2qJ2mBvFkqStb0MJSaQmaB2XyPyMZvx+i8XrahHrRLwkp7iwpGRt2QGeXL6GBxZ82qGAZtk2v7/gTM6IKKD97sOFPLNqw8G6wqGqKIrgDxedHTeOfLzg80iy6C36jG8vsWRzCf5gPI9SsGp7WY/GNyXRzd9/fzW3P/oGtc1tCCFId+r85vpzeOgv81m5poRQxKBv2FzO7T95gZysJA5UNh10PEIIBhSlc+GVj3QY4dEj+nHPnedz/72X8p8XlkXqwplR5H+nU8Pp0Gls8kf1Jw0FR7NF9qz9NFYk0z+tigkjdpKQ4MeyBQ6Xydd++A7lO7ORFWkUZPkYVXwON/4wCBggJJNPjW94AYIhjTc/PBG9IIA3rS1SRSKcpZbsDpBccIBKOwUQNFkeyoMZDHBVdwQoFGCMw2BqRiXzq4u6fRc29T4vWYkt6IpF12TpFI+fFI+fcA5prEKyZQv2JyVTebKb3EVtnDl9L+8qI0lPbKFwdg37Xs2LuRZV1TjrgjO495anegz1KIqIk9ItKR7dmWuUkOxGd2iEur0oHQ6NnKxk2nSblsEe2gZ7cEqFYflZbKiowoqEi9oZDYcjrKQogt/P/yQmQ+4Hr73HhII83LrOs92qYHRHYWoyF48byQVjRpCTdHiLxMcixFFgDH0W9BnfXiIlwY2uKjE3raoIkhMOXlBwSL8MXr/3OvZW1mNaNoPzMqioaowyvO0IGSZDh+RS39CGYVhYtkRVBZYl0XUVw7BwODQ0TaG0rK4jVRlg/aZy7rznZR7949WMHV1Amy/IHT99gZ27q9E0Fcu0mHVSMctX7Y07TmkLcgbXkj28lrIF+fz7pTOxpcBGYKbYDC8u5SsnLOWCMWURz/VRTpl6Ie9/kkDigEZ058H4xoJgyEFaUS0m3TwlEWsUJzj9jHIaNEuBBqQqYRnIX49azMVrEhAKVDcnETR1JAI9ooimKTZDXAfYHujXrc/Yc9gSLFthT30WobEajpDJRaNKyExvZLs/H2eSSd5tNRz4U6QskARswRU/nkZOfho5BWmU7KiKyWyL5/VCOMW4bE8Nw8aGMzlnnT2Gfz7wXpxvSvDE3dew5EA583fsJtnl4pScAu545V0s3Y4rUuHSNEKWhd1Dkcx2BE0LLW6WpOTdLTuY2r8ATVEJEt/4unSN35x/BpMK4yasHn84Sjzfz4I+49tLnDdtBP96f2Uc46swc/SgQx4vhIgqtFlWXo+uqTHG1zRtGpva+NufruH5V1awt7SWEUNzOePUUSxbuYede6oYOiSH3XuqWfjpjqhjLctmT2kNJftqyc9L5YGHPmDX7mo0TcEImUyeOIAffvcsbv/pC6zfWBY7RlWieU3WvT6CtjoPUoYfUgFoDSqbdhdRUZfJuZc9E1kQC3DL1/ZwYGwyVko9IaniIr4Btm0F01Tjsh3iodjZglsBd7cnI1kPMLP/bhotJ0q+ZPOBPKqak0lx+xDYJKs+Cp0NVBqpNFmdlDKHcBKS4Sl+u62sb/Owdl9/gqYODqid6GFFaBAJuskwr5O6EHjH+Rn01zLaNrrBgrSxMH5UAQ/94jVWLdoRY3idLp3kNC81FY0xPF/DsEjP6qz5l5KWwIwzRzPvtc6sNCEEt957ISmpXs5OHcpwLYlfffdp7q/6mBTDJMEtqJqeTCitk0anKQpPXHkRr67fQpM/QHaSl5fWbiZgRv8WihAMz85kW1WsLodp2/hDBnnJiZh2fMOrCMGdc2Z9eQxvBJ8Hjaw36DO+vURuWhK/veEcfvKPd4HwFNLt1PnTt+fichz+11iYn45hxt7kmqZQPDiH/oXp/Oi2s6L2DR3SuVj1nR88E3fKq6kqtXWtvD9/M4uX7gzT1iLUtdXrSvn7k5/wja/N4I6fPE+wi9es6DZ5s2vwNbnxNbo7DG8HJKitKq0eJ/NKBnD2oHDM+JO2ZvTssMbk9kAuozzlUVoLUkIgqPHc/Jm4cv14RJA26eTgk2VJm62SrMaGeRQBllDQI2yIkXkHKM6sRBMWHiXEWG8ZAihw1NPk7zS+IRlOegiW61T9JQOrRcU1MoA5Sg1X1ACkW+LsF/b56kJVtCdYKC5J4gm+8PkVF5VLLRa8viYmnVgIuOT6GYybOpif3vBPgl0WPnVdZfSkAWTmpnRsW714B5+8vzH6AgU885cFzD5nLAFfiB9+7TFamwPtu9BbJbnzG9l3QTpSV9AUhemDiphU2K/DKEopSfd6eXTxcixbYto2Tk3lpulTmD24P1f86wWsboZZV1RmDRlAgtPJZRNG8+KaTfi7tHGoKv+86uIvneEF+jzf4wEzRw9kwf03sXFvBbqmMrIoByVeLS5b8p8Fq3l63hqafQFG9s/h9ktmMbywc1U4LzeFyRP7s2J1dOjBoWtcMnfiIccycVwR23ZWRIUdAAzDZPDALO7+9etd9HbDCIZM3pm3khPOeZGLv7WH+S+Pp6YikeRklSsvO5nA8F2s2LkdTVHovgwkCBP8fYbO7sY0YDegsdyXjBEpJllppNDS4KRAqyfD3UpT0M22lhwCmpPcEysRgojhhZ6qZAhsXMJgcVs6FyQdwNGFmWBIwdZAMoEujAxVscnzNjDQVUOiGujQGtZErAcuBDiyTBS3JFiq0fqplwGrWth9XTJmgmBm8Q6ULhERacuOiIiCiipUrii8kZcfXtORMtwVLo+TSTOGMmxsIbf96iL+8qs3MYIGlmUzcXoxd/zuK1Ht3/jPUoLd+pG2pLayiZKdVezasj/m94VwjDJpX4jWwW6SXU5+fPqsbtcp+PaMKVwzZTx76xrISvCS1aWG2yXjR/Lyus0EIhQyl65x8biRDMsOV+68c84sUj1u/rVsDc2BIMVZGfz0zJO/nIaXvgW34wa6pjJhSM+57wB/eHkhryze2FHtYs3O/XzjDy/ynzu/GrUwd8+d5/P4vxbx1nsbCATDbIfvfmsOWZlJPXXdgQvPm8Dr76yj2fJ36Au7XDoXnTeelGQPfn/sKnpiaivnXLOYGn8DBcUG194VDj0IXLyxt5RFS4cgzFR0I9YsSsBygkc3GJjSAKggvBi4oIv4zj5fOiubB7C/MQ1fyMmEwr3kpzZ2CVOKjh6dIkRQdjIXFGwcwmSEZz9NtsYnvgxmemsxpUAVkr2hBJ5p6h9zXS7FIEmL5rlWhFLj2nehS5Jmt+Df5gJbIEKQtiKAmGuQ6IruQyhgB8EuSeLUqTOYnnMqWa5cngvF10cQAszILGP2OeOYccZoqvY3kJjsiZvx1tzki9uPograWgLs3LifUBzaoLBA9dtYUtJmGFzxrxd45RtXkp0UXSTT63DEpYH99IyTmTNsCG9s3ArA+aOHM6VLkoWqKHx7xlS+PWMqUspesymOS0h6UL///NFnfI8yWnwBXlq0gVC3kELQMPnHuyv45XVndmxz6Bo333AKN99wcPm+eEhOcvPEw9fyn+eXsmTFbpIS3XzlwkmcOms4ACOG5rFpazvPU3L6ZcsZPW0XqmbHzLIkAaZkr+Hd0jCLwJ2j4KoMpxqH90egQJJDMmeQAe6LKVfOp838MwAhv8be5QXUlaQihGTAkDoastrITmqJK2IugBmeKmZ4a1EQ7Ap52RB0k6Q3s92XS73lZYvUWdCaS44WoNF2UG85Y/pRscnUO6tgSAkWghozMW5kQyigdNENFhYklhgMzCuLFpOXENjtIFjqILjLidVWQNb1YaHwU84bx/aNZTFeK8DQMZ16UqqmkleUETsIIBQyGRgR4zG7ZTTatmTIyH789VdvxD0WwJ8efnQDholhWvzfgk+4/4KzemzfFUIIpvYvOKRoenvbLzv6Yr5fEpTVNOHQ1Bjja9uSLfuqjuq50lK93HrTadx6U6zw3He/fRq3/uAZQobFiBN2MHLKnh5pYAAeLUhWYjOJLj/NXhdmdTrtC97tj5+rRXD/9V/FlXMnAG/uvA8bC8sUrHt1JME2PSwKDFRuzcJb1YboH9+ruCRpH5PcdR1hhTGuZoa7mlkc0PHZTkJSRwBjXI2c6KlFFTZr/GksasvGQOlIDxZInMLEkmHaWsDWWd1W1FHFojvsgKBlabS2gyuo4fBLcBAWkg8K9v8ui8BeZzgTzhL8Z9k85lw4kZS0BE6dO4GP3lrH9o3lBHwhFB0QkqG3WWz1rWWM44Qev2fbtlnx8Tbu/9EL4RdFl/tEKAKHQ+NbPzkfp0unvKS2x34CGZ2PriUlH++Mz2CJh5BlETAMEp3O/wnjejD08Xy/RMhNT4oxvBA2FF3ZDocD25a8+ulGXli4Hl/Q4JRxg/n6mZNJ9sZS3BpDdbxc/m+2tKxj1N0KzooihqXtxnEQGljQUljWOjgiNm5TX57MdiUV2+qWmgssXLubyUPCVKkyf/iBr92ThhHQOgwvgLQUfA0emioSyMhviqJHJSshTvDUoXe56xUBmoRsBVpsFyC4OmUPI5xNOCMFODO0Csa6Gvlj3TDsSH8mGp+2FuNWQkgbAjiIdnk7k7llCHxbnbSujA4BOCzY9/1CPNMbybq2nrqXU/DvdoLReT0h2+RPP3uFex75GgF/iNzCdHbsLCHphBb0dJOk2a20ZVg8VfIIp+XM5YycC6PO4WsL8uh9b/LRW2vjUtEUVTDzrDFceM10ikeFQwBJyW5q44QdpApSizaaPaUId0XINPn1Bwt5Zf1mLFuSlejlnrNOYfaQ47Dc+9GClF9Y2OHIJbH6EIXUBDenTxoao3Pq1DWuP+uzlVi59z8f8sBLC9m5v5b9tU0899FarvzN0/i6ZUcFrQAPbP8pG5tWY0oDQwbx5+5hpzvtIPeXylZ/PwxUdNVGUcAOxfcaLVtS01TPnqZ/sr3+z+Q5wiTJlhovdrwyOhLsJi1SC61zAP10H2YcBTRVhPm8jT4PiabNSGdjh+EFcAhJphZglKux25ECv+0kQM8sijS1hTHufTg/kaiajVA7xxTwhTBDNoEladS/mEbTwoQow9t+LSsXbSfgD/GDq/7GvNfW4Dmtlqzr6ki/pAk9I/zCDckgH1a+it+Kjufe/c1/8fHb63vkADudOhNPKu4wvAAXf30mTne0MpvQBa1DPFEvM6em8ZXxo+L22xU/fvNDXl2/haBpYdo2B5pa+O7Lb7N+f8Uhj/0y4zAKaPbchxAFQoiPhBBbIkWFv3uo8/YZ388BP7vqNC6ZOQa3Q0MIQVF2Kg9+ay7DCg5f93R/bRPvrdoWVaresGzqW3y8tXxLVNs1DUsI2H5kl4qAljTx2Q4ardhFPIFKUeJXqDLSo0qkJ+e2IO04RH6HQlq/Z9le/xC7mx5nsHMNYzz78KT4UeKUZhcKDMvez6zEreTqjahYgE1Q2mhxAm2WhIWVA/lkVzE0u7C6090Al2IzxNESs71nCKQt2Pi7gSz86RjyR9dx1d8XhJXPuhnqUMBELs1DtvWQLith5aJtVJTXYxoWntEBFEdsM1VoHPB36i3s2VbBrs37e6x0AWCaFi3dFuDmXn0i514xFYdTw5PgRHdozDhzDOmn98ej63gdOi5NY2r/Am6aMeWg30K9z8/7W3fGcH+Dhsmji790UtuHB9nLz8FhArdLKUcAU4GbI4WEe0Rf2OFzgK6qfP+SWdx20UxMy8JxBGr/m0oqI9SvaOMWCJms2FbGV2aN69hW7i8hZAfpDolKQKajiBC2DCDQUITGhKw/kumZjl5+DUYXuWWn1yB/TAX7N+Z0eLQOXeBMaeRAlk5d00AGOGsoctaRqVuMHF5C6ap8bDOcMgyAsNHdBuMG7kFXJWO85dgSqoxkaoxEak0HmVqIrrPnoKXxxN4xWLZKVcAbMb7R1x2yBQ1d6sH1VJU46vpNCJY6aavzsnRfAts+yse24h/k94U4+ZxxfPzOeuxuynIJyW5+d8fzWJHaeGathhwQQnR7R1jSIllP7fh7f0ntIXWXhaIwflpY86G+poVVn2xH01Qu/+bJXPGtU6jYV09WbjJJqV6klKzbX0FZQxPDsjMpzoq/qNcVlU0t4bWIbmnDEiipazjk8V9mHI2Yr5SyAqiI/L9FCLGVcN3KLT0d02d8P0coisChHNlXnJWSEHe7pir0y0iO2pbrKohkckUbYFWoTMu+Bw/bqfUvxaPnU5h0OQl6fwBGJ09ibeOnyC6eYP8TyknOaaFiSxZWSCdjUA3ZQ+sQKoSkzs5ADqZUGOyuoSihhrFzt7Jz4QCaqxMQQEpBE8UzS7CFAtjYUrCidQCtlgsLlYfrErgipZShjmZsW6E26OZHG2ewty0FgI9rCvBbKh7ViFY3E7A+0HndvVkvsoMCOxKhMYMajeUJeFKD+OpjRcP7D8nm+h+czfoVe2hp9EXpLjTVt0W1bXgnCe84P6ILe0JFpcAzgAxnJ8WraEh2lHxnd7jcDmadPYb+xTm8+fRSHv/9O6hqWDDHvkfyo/+7nGmndjpRQgjG5+cxPj9Wd6InFB6k3PuYfvFKNP6PQBKecvUOGUKIVV3+fixSgzIKQoj+hEsKHVQWrs/4HuMYNyiPjGQv+2ubotTONFXh0pljotpOSjuJdypexLBCyMg8SUUl1ZHBsKQJKGIS/ZOvjDrGlibD3BVsbLIwpErnVFyQWtBEakEz8WCjUBLMZKCrFokgI62J4ksXEzAc1JoJoApsCXv96Qx01VIRSqbJctMe6fJJnScaBrNuyRAsv06F7sJKlB2nN6TKFcvP5a8TPqTQ04IqbEwJa0Ma4xP2sMWXxwEjvphRO9q9YsUlGfCH/ZT9IpdQuQMjoJE/qpW9cYzv3u3hZJC/v3M7151+P6Fga4/9B3a6qPp7OlnX1iNUcLhVBniLuW5AdLivcFAWY6cMYv3y3Z3GXITTdRNTPDic4cdwzac7+fv972CETLous/3ujud46qM7e66O0QskOB1cO2UCT65YG1Xu3alrfGv6wUMWX3YchudbK6WcdNC+hEgAXgZuk1LGf3gi6Iv5HuMQQvD49y5l1IBcHJqKy6GRmezlwW/NJT8zJaqtS/Vw+9BfUZw4CoGCKlTGpkzh1iH3oHSfG0ews+EvNAQ+QJUWsYtV3WKiQY2a6mSamzwdC3htto4qbE5M3MlQdwVjEvdxcupWVNOkojGFpzZNZ1V1f/YGM+l+u5mGQlVDMjX+BJSgEhNX29OWwtmfXsQfDgzhY5+Lj4M6TZGEixGeAzhFnPRjbFLVNhJVfySuC4oOiluS880wdUvTFfqlT49ZzIJwau6819fgawvS1hKI2d8dLZ8msPumAoavP5eiD89h9M7zcdixRv2nD13FWV+ZjDfJhcOpMWRkPpqu0tzQRk1FE/NeW8M93/pXXA9ZKIJlH2095FgOhe+dfBJ3zplFQUoyCU4H0wcV8dy1l9M/PfXQB3+Z0c54ONTnEBBC6IQN79NSylcO1b7P8z0OkJmSwD/vuIzapjb8IYP8jOQe+Znpziy+PfjH2NJGcGit19LmZ7BlAOMgt4KUsGNbPqV7c1AUGykFHk+AE6Zsw+9xkqa3tBf87XAjJiWW8OqmSUgEz+6Yxjlj1seGCLr8LYICERJIh+yw0apikZnQQpXi5e3mEUzwlJDpCHuiEsjWm9gX6ox35ugNjPQc6PB4Q7bKmrb+tNkuhAKugUGmXr+FLa8PZ0BxLis+3hZzraGgSW1FE7quhrO7XDZqooVZr0EPcWIswbt/2YxpWHzk2cJzf1vAA898C483nBRSX9PC/935AhtXhql5uQVp1FQ0RIU0LMvuHt7u/P5tGSM7+VkghODyiWO4fOKYQzf+H8LRiPmK8IP2BLBVSvmH3hzTZ3yPI2Qkxy/82BUhO8SimvdYVb8YTWhMSz+FaRmnxPV8pZSYMhzH9ChBWmw38ahaVRWp7CvJxrYVbDvcT0uLmzWrismb3UCm3sk+MKRCdSgZv60xNGM/22rzcTtC2BGPtSs0zSY9o5namiQECnqtiuW1sb02LmeIof0qKEyr73iBrPMVcqq+hbI1mSz7z1AaKhLQCkwyvtJI5tAmRnn2h88RuQRVsZmUsJeFzcPC1yUg/6xqpsxtYZB5Ay88HofR4XEwevJA3Ek6g+9owxxaBTZIC2qfS6VpfvzU7/YstYAvxP6SOl56YhFfu3UOtm3zw689RmVZfUdJqbI9sapiB4NtSybPGnpYx/Shlzh6kpInAVcDG4UQ6yLbfiylfKenA/qM75cIlrR4aOcvqPCXY0TkE6v2/4ftrRv5+oDvxbQXQpDkGEpzaBvD3AdY2RZfGrNkbw6W1Z1+pdDc7KW8JY1cRxN5jkYaTA+rW/sDYCMYkleDx2OyoTy/Rw2zUWP3smLJcIJBDSkFWgCSXX5OG7ea4d4KEtUAQVtjdzCLA6FkNiwqYukfR2AGw7eusVmn/D4nox8tRSRGP0VCgCZt0rQ26s0EQLDbzKGftww9azmTZhSzavGOjjRhh1Mjv38G004ZzovlTyBG1XZUXgbIvLIBo0HDt+bgsVcjZPLxW+v42q1z2LSqhPqa5ri1/OLBk+DEtmyCARMhQHdoXHnLaVFqaH04ehCA6P2CW4+QUi7m8HTt+4zvlwFlNY34gwY+z16qAgc6DC+ESf9bmtZR7ish39M/5tj8pFtZXf0jUrU2RrnL2OLP71LgMpJFZsTnvQohMQydkkA6OXoja9uKosrCKwr0S23AZ+g0+NykeX0xoQeXy2DGyRuoq03C53OSlOSjKL2aExL3dnjKHtVguPsAGiZL/j6mw/C2Q4YURIVAibNoLwXoXRTO2mwnph2gNrCUux78E++9uIJ3X1iBEbLIzk9hz7ZKLplxD4V/3gtatMFUXBJHv9AhjS+E48or6hbxlv0KOb+sp3mZm4a3k7F74hADTrfO9T84i8JB2Sx+byO6Q+Xk88YzcFjuIc/XDsu0CAVN3N5YHYw+xIfoE9bpw+GivKaR7z/6JmU1jaiKQComA2c5SSuMXiiSSPa0bY8yvk1GPf/Y80fK/SUoohiBycQEP1en9uet6grqzLA3KJCc138XL20ZgWFH3y6KIvEm+Gm1XVSHErDjZK0pAoqzqsN99eAXCAEZmZ0Lw0PcVbEhCiEZ7KphQXPsIhnAnkW5FI6rjUneUJA0mJ3hGhUbBQ2P1g9VVTjn8qmcc/lUHvvtW7zz/AqCAQMtw8Q2JfFYgr71sYtp3eF06RTd0sazJY9jO030HEg92yBxmo/SO/OQwdgQkO7QmHvViZx16WSEEIya2P+Q5+mKYMDgb795i3mvr8EybXIL0vjOzy9g7JRDC/3/T+MLrGTRx3Y4TmHZNjc++BJ7KuoIGia+oIHfL9k6bzD+5mivRxUqSXpKx99SSh7Z+Wv2+XZjSoOQHSJo26xsSSQv6TuclnstDiXcx3BnMzeOXUOG248zIm6uCBuXZnD2xE0oCkgEW/wFUTzhrhCid3zcdiSq8VkGipB4MmOTSACq1ETaLAdWlxeAKQUlgQxCHbKVkkTVj6JopLnP6qhC0drs5+3nlneIn5v1KtKMHbC0wQ70/MhouorTrVM0MZnKtG3YSqfHrThAS7ZImhFLXVM1lWtuO53rvn/mZxa6+f0PnmP+62swgia2ZbO/pJZ7vvVvSnZUfqb+/nfQS6bD5+Ad9xnf4xSrdpTT7Atgd7sppC2o2BKdxqwJnVFJEzr+3ufbTYNRh020l2hJk0W1HzAt/WTOyTodBZtczUem28/rl7zAdyauZEpeOXOHbOeZ81/l5P7tSloCAy1SFDM+WgJOtlZks7s6E18ovvfaDp8dJ2e3/VqGh8IKPF2gphukX9HEitZBbPfnUG96qDYSWd9WxK5g11iEoNnysKqlH/fveICfb76Frc3r2F9ai6Z3CQfYgpqnU7GDnYZQWiCDImpbd1xx08n8+onrqVUOIOOQExSXxDvGH7vjCF2vmsomVi7aEcOIMIImLz2x6Ij6/l/A0dB2+Cw4orCDEOJ+4DwgRLi0wXVSysbIvruA6wkTaG6VUr5/ZEPtQ1fUN8cX4pa2gu3z4lCcSClJcaTzjQHfR1M6DV6z0YgSx0u1sWkI1SCEYKg3CQWotlwYUiHREeL6seu5fux6AAK2wurmwl6NdVtlNjurcjooYFsq8hiTX0ZRen3c9rsC2Yz3lkaFHkxbsGVBAY2fJIUrX0Yg3JLsG8KZdzYKZaEMykI9p9vaKNSYHsCg0ajniT0Pcn3mXRjdKkY0L0zEalJJu6ARLcMisNNJ3Usp2E3xHxmhQGNdK/62IHazGnfpRZoQqok9XlWVDjaDlJL1y/ewbMEWvAkuTp07vkdN4HZUldfjcGgx2hG2LSndfXRlTL+UOE5jvh8Cd0kpTSHE74C7gB9FBCUuB0YCecA8IUSxlLLnHMs+HBbGDMztqGDRFW6Hzo3TLmZKcQqKUMl05sRMZQu9AzHjuGa6cDA0cTSmbTK/fhcmgs2BFHyJGroIdXB5LQlBqbDBH5+c31VvocnvYldVDnZEJKf9Pt9QXkB2UjMuPXYcdUYiG1ryKdaqcDtDGAGN9QsKWf7EMAh18a4ViXu4n4Qxh06G6AmmNFjhW8C4qd0y0ABzWzK196fgb4utChJzzTa89ewyPnxtDUZII6VRRehmVNxYmoKmD6Opak63zvlXTqNgYBa2bfPb7z/LykU7CPhDqJrCS/9cxHd+fiGnzZ1AT8gfmBlTiBVA1RSGjendC/J/FvLosB0+C47I+EopP+jy5zLgksj/5wLPSSmDwF4hxC5gMrD0SM7Xh070y0jmvGkjeGf5VvyRB8+hq+SmJ3LmCcNwHkTMJ1lP48T0U1lW/1GHEI8qNBL1JMalTOX+7XdSHagABKYl+O6Ck2nbnYJHNblgwhaGjTjAyy2FGD2EGexInoQQsL8xJSoO2w6BpLIpmaL0uvDfXZqYLQrbl+Sz5NVRiKDA6jC43fqxBb71HqQJ4jPeyY0fe3jxqTJ0oWMYVsc4HC6doWMK2LqmtNd9SRnm+QKU35dD7m3VOAsNsMP6EpWPZmBW6bg9Dk46fRROt84p541nxPgiAFYs3M7KT8KGF8AybSzT5qF7XmXaKSPwJsbqN0O4CvIZF0/iw1dXd8SthQCHU+eS62d+ti/mfwlfAjH1rwPPR/7fj7Axbkd5ZFsMhBA3AjcCFBb2vaUPBz++4lTGD+7HCx+vpy0Y4vSJxXz1lAkHNbztuCj/axR5B7Gw5l38lp8xySdwavZ5LKh+i9pgFTY20oaNbw2jtdbTIaz++/fTSdnUxMgzdvXYt2ULbAG6evC7WhJ/IU5Lskk+uY2kmW2U35eDtfcgtCkJDlwYHL7369viovpf6cgQWESnKgf9BhuW74lRLOstzHqNsrvz0NJMFJdNqEIHKRg4PJc7/+9yCgbGyosufHt9h/HuClVTWbd0Fyed3rNm77d+eh65BWm8+uSntDX7GTmxP9/44dlk9/sfTx3uBY5ZqpkQYh4QT/boJ1LK1yNtfkJYz/Lpwx1ARBXoMYBJkyZ9Qe+g4xNCCM6ePJyzJw/vsY1tSxpb/SS4HVHSlkIIJqVNZ1La9Kj2axqWdIQkGsqTaa3zRFW0sE2Vxv3JtFR7ScyKVvlqh65KSmvTyE9rIM0O4mwQGB6wu9hQiSA3uanHcbfXWcu9uYaSO/I7jorOSYbiUQVcOXguVYEDuDUvu5q3srF5JarQsKWN3VPOLlD/VhIy1PMCmuK1yL6hloqHs8J39+Fx6IGwEW6H063z/fsuiWt4IUw3a6++3BUCohcE441VUbjouhlcdN2Mwx7j/zyOVeMrpYwtENYFQohrgXOBU6XsuIr9QNfqfPmRbX34L+KtZVt48OVFtAVCCCG4aPpobrt4Brra84Osis59TRWJcStUSFvQXJlAcpY/hjFR05LAurJCAn6d8vlF0KbiFeE6aFa6iTaqhdagi2G5B+LGe7tDy7DQUk3MBo2uxs/h0tB1je/fdwlFqZ3yjbMyz6TVbGZT0xp2t25lbcOyqKSTrjDrovvsjrQLmvCO91P4iwqqn0wluMeJNMRBjzkYvAkuBgztWb5xzoUTWfTehtjCnALGnzj4M52zD4eABHqXfHjUcURUMyHEmcAPgfOllF2X398ALhdCOIUQA4AhwP+4XP5/F59u2suvn51PQ6ufkGkRNExe/XQjD7y48KDHTUs/BTXyTnZ4DRQ1jsqWKslKTibbGR1Java7WL5nIL6QE89uHbtFQ1oKmOFKyI5GhSJfK2eO2sSAjPhMh9iTSWQ3QRtFEZxy/nj++cEPKBocWxo9QUtiavpsLi34Ok7VhejBWCaODsZNpOjYP7UNRQfXgBCF91Qx4KFyxMFZctFDD1f4xOnWcXsd/PRPV6IoPT9yo08YwIVfOwmHU8PpCseGXR4HP3voahzOwzhxH3oNgUTI3n2ONo6U5/swkAh8KIRYJ4R4FEBKuRl4gbCK+3vAzX1Mh/8uHntnWVTpIQhXv3h9ySb8oVgpxnbMzjoLjxbOCMsaXBfHyZMoiiRvoB9DhlC63EK7qrPCWW4W6E2io/R8O2xTpXJLdkec91DcdWlDsNSB1Rztfdu2ZM/WikPq2zoUJ98rvpdBCcM6DLBA4FRcaEJn6hVFJCR6eqwy0T0koSXZeEb5Qe2dq6RqCgUDM5l68nAeefVWhkcW1g6Ga247g7+99T1uvPMcbvn5BTy96MeMm9qXpfa5wrZ79znKOFK2Q49zISnlfcB9R9J/Hz47DtTF13EWQtDY6sedFt+TUoVGgWcgW5rXortMRp29nW3zBmNGimo63AbD5uykxvLHSCC2BF1IlIMS0q1uhSkPmtAlofKx+BzXHRvL+eCVVZx+0UG1rdmyoIpNjyRSVzMURRG0tQRwejROu2QcN9x2Ple85uP5v33Ewnc30NLoR3Z5GzR9lEjahY341rtpWhSuKJI40Y9vs4feuBKmYVG2u4bq/Y0s/2grP//rNYydMojdWw/wjwfeY8fGclIzE7nippM5+dxxHcfl5Kdx9mX/2wLn/zV8gWGHPm2HLylGFGWzeOPeGBaNpiqHlKaclHoSm5s2IIRFck4rk69ch6/BjVAkjsQAPU2Y0r1tNPncSFXBdkJMlrCQpBZ0LrL1qPWAQo6zH4qlsbu2Zyv3yL2vc8LMoaRmJMbd/8vvPMWSebEltPwtBu8/s5b6/T5++qer+PbP5vLtn81l69pS3ntpJc2NPvL7ZzBqSn/+/q/nqVwR6NBj8G9y98rwdkU7/eu+257hN098nTuu+huBSFy3tdnPn+5+hfqaFi7uWyz7QvBFsR360ouPU5TXNHLf0/O4/FdPcdcTb7O9rDpq/83nn4TTEf1udTk0vn3eiQddcAMYlzqVVK0I0+q8PTypfpxJASqbU3oseTUosxpNlQgBbQMspCI7yhkJ1UJ3mgyYXH6IKxNcVfgtzu13GUKXFP26Au+kNuKRMRVFxBVEhzBtK57hbUcoaLJy4Xaq9ncWjxw+vohrvns6008fxdCxhbhdTmpWySghHGmKz8wLNQ2LR3/zFsFAtwrCfoOnH54XN1GiD/8FfEHaDn2e73GI3Qdqueb3zxE0TCxbsutAHQs37OHBm85nyvBwXLE4P5N/3HEZD722mM0lVWSlJHDD2VOYM7H4kP2rQuXOEfdwzYI/ExL78JsKZfVpBA2d4pxKnFr8eZrbYTCreDt19Sew22HimeJgqD8d09eKL3krWcMr0V0mKipO1Y0mNPxWG4Y0EAhUNC4vvIHtrZtY17iMkB1Ez4HcW2poWeal6tHMmHP29Ew899jHh7xOXdfYt7u6gwv74t8X8tRDH2Jbstf6u4eLsj01UaGNdkigtrKJvML0z+W8fegJR8+wCiH+QZj5VS2l7JmUHUGf8T0O8cdXPsEfNDocMFtKAiGTXz+7gNfvva6j3bCCLB75zkWf6RxuzcGTp9zGCzvX8cjmN0l2+xlQUEZmYs8FJQFS3XDnzFMYnBDNPV5Su4D5Va/jt/wMSxzN3Pyr0IXO4toP2dK8jlQ9nVlZZ6MKhefL/h5FD1MckDjFR+P7QYJdEi5sWzLl5GFxx9HSGF/7oisMw6Rf/3BMefuGMp5+ZH6MxsNnQUZOEi2NvhgPV9dV8gdkxlRBBrAtm5T0+JWq+/A54vCqFx8K/yJMQniyN437jO9xiLW79sed+R6oa6ItEMLr6lkV7HDg0jS+NnwSswpTeHDHPchDrEw4hJNBCcMZ5I02iG/sf5ZFNe9hyvALY0PTKlIdmZzX73JOz7mQ03Mu7Gj7YeVrWHF0J4Qu8Y73EdznACERQnDxDyb2GO8df+Jg5r22psexKqpg7NRBHZ7mh6+uJhTsmQVyOPC1BZk8axgrFm3HCJmR5AnBT/50JZZl84tvP9kRB4aw/u+p54/vqPnWh/8ujlbMV0q5KFI2vlfoM77HIZI8LnxxDIWmKjgOkQn1WVDkHcyVRTfx3L7HMWXneRVUMp25uFU3EsnU9NlMSZ8dJeRT4S9jUc17UZ6sIUMsrHmXE9Kmk+POjzqXS/VEstOiEyOkCWqyReqZzWgpFglT2qgsWAZcEHfMV91yGkvnb8HXGog/q5Qw54JOsZqAL3TUwnoer4u7Hvwq2zeUsW7ZbpJSPMw4cwyJyWEh9tt+dRGP/fZtWpv9KIrCGZdM4oYfnnN0Tt6Hw8exmuHWh2MPV502gYdf/zSKx+vUVc6bOvKQi2mfFZNSp1MbrGJ+1RuoQsOUJoMShvH1AbfhUnvm225qWoMVhx5gS4tNzWtijO/4lKm8vj9OlroU1L+SggwpFP32AHqGRWUg/uJdXXUzf/nVG/jagj0+V7Yt+eCV1cw4M1zJd/oZo1j07gYM48jCDk6XzrmXT0UIwbCxhQwbG6tXMvucccw8awwtTX48Xie6o+8x/MIgiZIoPQQyhBCruvz9WEQe4TOh71c/DnH57PHsr23i5U824tBUQqbFjFEDuf3SWZ/bOYUQnJV7CbOzzqYyUE6ynkqaI3YBrDs0RUcRCnY3AyyEghZHiixBT+L6gd/nn3v/iL81GA6vCKj4cyZWkwaqpP6NZLKvryNRS4453jQsvnf5X6irbkYe4qFqbe4UNp88exjjTxzMioXb47ZVFIF9iP40XWXy7GFccv2hKWOKopCceuhq1H34vHFYC261UsqDE8sPA33G9xiFlGEWQ1sgyPDC7CilMkUR/OArJ3PjOdMorWogNz2RzOT/zmKNW/UwwHtoxkQ7xqVM4e0Dz/W4Lx6GJ43lOvUefvnYIwQDBv6tTmR7coYl8G9z4lCcUbHidnz42mqaGnzYvVhEGRmpkxYKmezcVM6Vt8xh2qkjePKhD2moiV5YtG0ZV/QGwnzlQcPzuOsPVxxS+LwPxyD6wg59aEdZTSO3PvIa1Q2tYY9LSn5yxamcPSWaQZDsdTFmYO8r234RSHWkc1nBDTxf9jhCKAgEtrS4rPAGUhw906qys9NpXefCCHW/RSXObJszcy5inPMk/nT3qyx8Zx2WaZOc5qW26tAeL4QN5ugTBvDGf5bw7z+FZaltW5Kc6uXeR6/lwR+/xJ7t0fXP2p9Rh1OLEl33Jrr55o/P7TO8xyMkcJRohUKIZ4HZhMMT5cA9Usonemwfj3P4RWHSpEly1apVh274JYZtS8772T+obGiOeiG7dI1//uAyhhbElyM81tFmtrC5aS0AI5PH49XisxS64t5bnmLV4h0YXQydw6Xxq79fy6gJA7n1kocp2VmFeZhxWkUVCCHQda1DuLwrNF3tsU+314nuUGNSkV0eB39/93bSs5LiHteHow8hxOojDQMkO7PliXlX9qrteyUPHvH5uqIvw+0Yw/o9B2hq88fMhEKWxYuLNnymPk3LZsG6XTz8+qe89ukmfIFDl8U52vBqiUxOn8nk9Jm9MrwAP/z9ZZw0ZxS6Q8Xh1EhJ93LHby5l9MRBbFy5l/KS2l4ZXkURqKqCqilomhpOojDtuIYXOGifAX+IUMCISZSwTJv3XuwT7jsu0Zfh1geAprZA3PLhti2paYovXn4wtPiDfP3+56mob8YXNHA7dP706if8847L6J+TdjSG/LnB5XHwnZ9fwKBhOaxbtpuiwdkMHhlmR5TurMIyezdd7Nc/g7v+cAWlO6v4/Y+eP/QBB4OUcY2zETLZX1J3ZH334b+Pw2M7HFX0Gd9jDGMG5GKYsQ+326Exc/SAw+7vb28tZV9NA0bEUPlDBgHD4O5/v8+TP7riiMf7eaKpoY3vXPwQzY0+gn6D9ct28/bzy/nFX6+hX/8MNE3B6IUTX1FWzw+veRzbCpdGOlKYPRj9gcOP7fh7H3pAn7BOHwDSkjxce8YJuLtwP526Rl56MudMGXHY/b2/anuH4W2HlLCtrJoW32ev+vvfwLN/XUBDbWtHZQfTtAn6DR646yXGTh1IUlrvqFqmYeFrDfQYZjgcHOw5VZXPVuGiD18w+sIOfWjHTedOY1T/HJ77eB0tvgCnTRjCJTPG4voMZPx4IYwuO49glJ8/lszbHHeK39TQxvb15TTVR9PBhICkNC/NDb4YxkNvqGe9gaapmHFmJqqufFFFcPtwJJASrC+mzkOf8T1GMX3UAKaP6l2YwbJtFm3Yw9ItpaQleTh/2kjy0sOr7udMGc6zC9YS6mIwFCEY1T+HRPexrSXg9sQfn7Rs5r+5FjMU69H7WgKoqoJpH/kDpWkKQlGwTAvblrjcDkZO7M/GlXuiqGYAqqIwZXbPhUz7cAyjj+fbh8+CkGFy059eZnt5Df6gga6qPPnBKn53wznMGD2QG8+eyqrtZeyprMcwLRyaisfl4FfXnflFD/2QOO/Kqfz9/nejCkqqqsKwcYWU76mJ64HqDp1+/TPYu6MC8wgVyjJzU/jpn69k3utrCQUMTpozinHTBvG337zFey+tJBQwAYnDqXPRtdM7FNL6cJyhz/j24bPg9SWb2VZW3aHzYFgWhgU//ed7zLv/m7idOv/+4RWs3L6PbWU15KUnMWvMwKgy8scqzr5sCts3lLPo3Q2omoqUksycZO584Ape+ecnbFlbGhOWMA2T2351EY//7m22rClF01WMkIll2odMD26HUARpGYnc+7dryR+QyY3D8qL23/Tj85h51hg+fns9iiI4+bxxDB1d0ENvfTi2IfvYDn34bHhnxdaYQpkQ1vjdUlrF2IF5KIpgyvCiDqH14wWKonD7by7lq98+lZ2bysnMSWbYuEKEEMz92km8++KKKOPrcGpMmjGUgUNz+c0/vkH1gUbqa5opHJzNY795i/dfjp/Ak5zmxZvoQlEFg0f045TzxjPhpCE9FtYEGDG+iBG9KIjZh2McEuTRoMB8BvQZ3+Mczh48WCklDu3zUTj7byO3II3cgmhOcmZOMg88fRN/+dUbbFlTisvj4MxLTuBrt53e0SYrL4WsvBQAvn33XOprmlm5aEfHfkUV3PbLi5hz4VFLWurD8YjPqWrJodBnfI9zXDxjDBv3VsaUg0/0uBh2nKYi9xb9i3P4/ZM39qqtw6Fx79+uo7GujZWLtuFNdDF+2mDcfQLm/9uQ8nMpC98b9Bnf4xynTRjC8m37eHv5VoQIr7prqsKfvj334DSz/1GkpHuZc+HEL3oYfTiW0Lfg1ofPAiEEP73yNK46dQJrdu0n2etixqgBx8WCWh/6cCxA9nm+fTgS9M9JO+a1GvrQh2MPn0/2Wm9wROnFQohfCiE2CCHWCSE+EELkRbYLIcSfhRC7IvsnHKqvPvShD334r6NdWKc3n6OMI9V2uF9KOUZKOQ54C7g7sv0sYEjkcyPw1yM8Tx/60Ic+HHVIQFpWrz5HG0dkfKWUzV3+9EJHevtc4EkZxjIgRQjRJ/nUhz704diClCDt3n0OASHEmUKI7ZEZ/52Han/EMV8hxH3A14Am4OTI5n5AWZdm5ZFtFUd6vj70oQ99OJroTdmpQ0EIoQKPAHMI27uVQog3pJRbejrmkJ6vEGKeEGJTnM9cACnlT6SUBcDTwC2fYdA3CiFWCSFW1dTUHO7hfehDH/pwZDg6nu9kYJeUco+UMgQ8RzgC0CMO6flKKU/r5SU8DbwD3APsB7omu+dHtsXr/zHgMQAhRI0QorSX5+sJGUDtEfbxeeFYHduxOi7oG9tnxbE6tqM5riPO726h4f158qXeKiK5hBBdc9Qfi9gviD/bj1+eO4IjCjsIIYZIKXdG/pwLbIv8/w3gFiHEc5EBNEkpDxlykFJmHsl4ImNadTSL3B1NHKtjO1bHBX1j+6w4Vsd2rI1LSvmFyfsdacz3t0KIoYANlAI3Rba/A5wN7AJ8wHVHeJ4+9KEPfTiW0evZfjuOyPhKKS/uYbsEbj6SvvvQhz704TjCSmCIEGIAYaN7OfDVgx3wZcxwe+zQTb4wHKtjO1bHBX1j+6w4Vsd2rI7riCClNIUQtwDvAyrwDynl5oMdI+QXlFrXhz70oQ//y+irXtyHPvShD18A+oxvH/rQhz58AfjSGN9jVeRHCHG/EGJb5NyvCiFSuuy7KzKu7UKIM/6b44qc/1IhxGYhhC2EmNRt3xc6tsgYDitd83Meyz+EENVCiE1dtqUJIT4UQuyM/Jv6BYyrQAjxkRBiS+S3/O4xNDaXEGKFEGJ9ZGy/iGwfIIRYHvldnxdCOP7bYzsmIKX8UnyApC7/vxV4NPL/s4F3gf9v7+xBqozCAPy8qElgSxESNZQglUOQRBhEQ0GURD/QIAQZNbU1hSC029AWuDQ4RNEfZFN/GE3ZUGbCxVIaGkyHEIpAKt6G8978uGRKec85V94HDpx7PsGHe7773vOdn/cK0AEMR/Y6CNRbvQ/os3ob8AZoBLYAk0BdZLftwFbgGbCr0J6DW5393xZglfm0Jby/9gHtwFih7TLQY/Wect9G9toAtFt9DfDO+i8HNwGarN4ADNtn8BbQZe39wPlU/ZqyrJiRr2aa5EdVH6lq+RcuXxD2/5W9bqrqnKp+IOyJ3h3Ly9xKqjr+h0vJ3fiH45rVRFWfA58rmo8BA1YfAI7HdAJQ1SlVfWX1L0CJcNoqBzdV1a/2ssGKAvuBOyndcmDFBF8ISX5E5CNwivn0lgsl+UnBWcIoHPLyqiQHtxwcFqNZ509ufgKaU8qIyGZgJ2GEmYWbiNSJyAgwAzwmPM3MFgYkOfZrFGoq+FY7yU+1vOxveoEf5haNpbg5/4+GZ+hk+zZFpAm4C1yoeApM6qaqPzXk+95EeJrZlsIjR2rqkIVWOclPtbxE5AxwBDhgHwRieC3FbQGiuNWAw2JMi8gGVZ2yqayZFBIi0kAIvNdV9V5ObmVUdVZEhoA9hKm/ehv95tivUaipke/fEJHWwsvKJD+nbddDB0tM8rOMXoeAi8BRVf1WuDQIdIlIox1JbAVexvJahBzcfh/XtNXwLvPKiUGg2+rdwP3YAiIiwDWgpKpXMnNbX97dIyKrCbluS8AQcDKlWxakXvFbrkL45h8DRoEHwEadX3G9SphrekthVT+S1wRh7nLESn/hWq95jQOHE7xnJwhzbnPANPAwFzdz6CSs3k8CvYnvrxuEHwP4bu/ZOWAd8BR4DzwB1ibw2kuYUhgt3GOdmbjtAF6b2xhwydpbCF/mE8BtoDFl36YqfrzYcRwnAStm2sFxHKeW8ODrOI6TAA++juM4CfDg6ziOkwAPvo7jOAnw4Os4jpMAD76O4zgJ+AX9aH+fBdOWLQAAAABJRU5ErkJggg==\n", + "image/png": 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\n", 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" ] @@ -619,7 +622,7 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 1, "metadata": {}, "outputs": [ { @@ -695,7 +698,7 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 2, "metadata": {}, "outputs": [ { @@ -733,7 +736,8 @@ "## 5. 深入思考\n", "\n", "1. 如何得到错误分类数据的下标?\n", - "2. 如何根据下标,将这些错误的数据可视化出来?" + "2. 如何根据下标,将这些错误的数据可视化出来?\n", + "3. 如何扩展2分类到多分类?" ] }, { @@ -742,8 +746,21 @@ "source": [ "## References\n", "\n", + "### 逻辑回归\n", "* [逻辑回归模型(Logistic Regression, LR)基础](https://www.cnblogs.com/sparkwen/p/3441197.html)\n", - "* [逻辑回归(Logistic Regression)](http://www.cnblogs.com/BYRans/p/4713624.html)" + "* [逻辑回归(Logistic Regression)](http://www.cnblogs.com/BYRans/p/4713624.html)\n", + "\n", + "### PCA\n", + "* [PCA的数学原理](http://blog.codinglabs.org/articles/pca-tutorial.html)\n", + "* [主成分分析(PCA)原理详解](https://zhuanlan.zhihu.com/p/37777074)\n", + "\n", + "### Isomap\n", + "* [浅谈流形学习之Isomap算法](https://blog.csdn.net/WEILING123/article/details/108069490)\n", + "* [降维方法之ISOMAP](https://zhuanlan.zhihu.com/p/433392764)\n", + "\n", + "### t-SNE\n", + "* [t-SNE 原理及Python实例](https://zhuanlan.zhihu.com/p/148170862)\n", + "* [t-SNE:最好的降维方法之一](https://zhuanlan.zhihu.com/p/64664346)\n" ] } ], diff --git a/4_logistic_regression/3-PCA_and_Logistic_Regression.ipynb b/4_logistic_regression/3-PCA_and_Logistic_Regression.ipynb index e6dbafd..b563731 100644 --- a/4_logistic_regression/3-PCA_and_Logistic_Regression.ipynb +++ b/4_logistic_regression/3-PCA_and_Logistic_Regression.ipynb @@ -4,7 +4,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# 链接主成分分析和逻辑回归" + "# 主成分分析和逻辑回归" ] }, { @@ -544,7 +544,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.6.9" + "version": "3.7.9" } }, "nbformat": 4, diff --git a/4_logistic_regression/logistic_pred_res.pdf b/4_logistic_regression/logistic_pred_res.pdf new file mode 100644 index 0000000..b7e5a5e Binary files /dev/null and b/4_logistic_regression/logistic_pred_res.pdf differ diff --git a/5_nn/1-Perceptron.ipynb b/5_nn/1-Perceptron.ipynb index d6cf15b..e3baa99 100644 --- a/5_nn/1-Perceptron.ipynb +++ b/5_nn/1-Perceptron.ipynb @@ -251,7 +251,7 @@ "plt.scatter(train_data[:,0], train_data[:,1], marker='.', s = 300,\n", " c=label_y, cmap=plt.cm.Spectral)\n", "plt.title(\"Data\")\n", - "plt.savefig(\"perceptron_sample_data.pdf\")\n", + "plt.savefig(\"fig-res_perceptron_sample_data.pdf\")\n", "plt.show()\n" ] }, @@ -264,7 +264,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 2, "metadata": { "lines_to_end_of_cell_marker": 2 }, @@ -273,43 +273,39 @@ "name": "stdout", "output_type": "stream", "text": [ - "update weight/bias: 4.168170755009569 4.181365846630972 0.5\n", - "update weight/bias: 3.0724185380181854 3.490747761861174 0.0\n", - "update weight/bias: 1.4813054058811954 1.9310599013646637 -0.5\n", - "update weight/bias: 0.592200234913389 0.7401981125197059 -1.0\n", - "update weight/bias: -0.8339423116876052 0.09373359199050268 -1.5\n", - "update weight/bias: 1.3000028486797486 3.4573196134037336 -1.0\n", - "update weight/bias: 0.5492714737908462 2.0751568705213304 -1.5\n", - "update weight/bias: -1.2835880698143969 0.2060627698241797 -2.0\n", - "update weight/bias: 2.378931537209766 3.244691345864665 -1.5\n", - "update weight/bias: 1.8447601323444536 1.8013609063723086 -2.0\n", - "update weight/bias: 0.4186175857434593 1.1548963858431054 -2.5\n", - "update weight/bias: -1.4142419578617837 -0.7141977148540453 -3.0\n", - "update weight/bias: 2.354422566641632 2.1385772796165576 -2.5\n", - "update weight/bias: 1.2586703496502485 1.4479591948467596 -3.0\n", - "update weight/bias: 0.39930036275602365 0.9139219094288209 -3.5\n", - "update weight/bias: -1.4335591808492194 -0.9551721912683298 -4.0\n", - "update weight/bias: 2.734611574160349 3.2261936553626422 -3.5\n", - "update weight/bias: 1.6388593571689658 2.535575570592844 -4.0\n", - "update weight/bias: 0.5431071401775824 1.8449574858230462 -4.5\n", - "update weight/bias: -0.20762423471131997 0.4627947429406427 -5.0\n", - "update weight/bias: 2.6948191352076956 3.592413861280405 -4.5\n", - "update weight/bias: 2.081106856196456 2.160920268143234 -5.0\n", - "update weight/bias: 0.9853546392050727 1.4703021833734358 -5.5\n", - "update weight/bias: -0.6057584929319173 -0.08938567712307455 -6.0\n", - "update weight/bias: 3.5910006762733424 2.381046334670937 -5.5\n", - "update weight/bias: 2.507957956903076 0.9900640934151144 -6.0\n", - "update weight/bias: 1.4122057399116927 0.29944600864531634 -6.5\n", - "w = [1.4122057399116927, 0.29944600864531634]\n", + "update weight/bias: 3.662519607024163 3.038628576040485 0.5\n", + "update weight/bias: 3.1283482021588505 1.595298136548129 0.0\n", + "update weight/bias: 1.7022056555578562 0.9488336160189257 -0.5\n", + "update weight/bias: 0.6064534385664728 0.25821553124912766 -1.0\n", + "update weight/bias: -0.0072588404447664345 -1.1732780618880432 -1.5\n", + "update weight/bias: 3.56979581700504 4.157268901515593 -1.0\n", + "update weight/bias: 2.7104258301108155 3.6232316160976543 -1.5\n", + "update weight/bias: 1.6146736131194321 2.9326135313278563 -2.0\n", + "update weight/bias: 1.0805022082541196 1.4892830918355 -2.5\n", + "update weight/bias: -0.3456403383468747 0.8428185713062968 -3.0\n", + "update weight/bias: 3.4230241861565407 3.6955935657768997 -2.5\n", + "update weight/bias: 2.5636541992623156 3.161556280358961 -3.0\n", + "update weight/bias: 1.1375116526613214 2.5150917598297577 -3.5\n", + "update weight/bias: 0.38678027777241897 1.1329290169473543 -4.0\n", + "update weight/bias: -1.446079265832824 -0.7361650837497964 -4.5\n", + "update weight/bias: 1.7930043074867144 5.9278879714909145 -4.0\n", + "update weight/bias: 1.2588329026214018 4.484557531998558 -4.5\n", + "update weight/bias: 0.3697277316535954 3.2936957431536 -5.0\n", + "update weight/bias: -0.519377439314211 2.1028339543086423 -5.5\n", + "update weight/bias: -2.352236982919454 0.23373985361149163 -6.0\n", + "update weight/bias: 1.8159337720901148 4.415105700242464 -5.5\n", + "update weight/bias: 0.7328910527198487 3.024123458986641 -6.0\n", + "update weight/bias: -0.3501516666504174 1.6331412177308182 -6.5\n", + "w = [-0.3501516666504174, 1.6331412177308182]\n", "b = -6.5\n", "\n", "\n", "\n", "ground_truth: [-1. -1. -1. -1. -1. 1. 1. -1. 1. 1. 1. 1. -1. 1. 1. 1. 1. -1.\n", " -1. -1.]\n", - "predicted: [-1. -1. -1. -1. -1. 1. 1. -1. 1. 1. 1. 1. -1. 1. 1. 1. 1. -1.\n", + "predicted: [-1. -1. -1. -1. -1. -1. 1. -1. 1. 1. 1. 1. -1. 1. 1. 1. 1. -1.\n", " -1. -1.]\n", - "accuracy: 1.0\n" + "accuracy: 0.95\n" ] } ], @@ -378,6 +374,36 @@ ] }, { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "label_y = y_pred.copy()\n", + "label_y[label_y==-1] = 2;\n", + "\n", + "# plot data\n", + "plt.scatter(train_data[:,0], train_data[:,1], marker='.', s = 300,\n", + " c=label_y, cmap=plt.cm.Spectral)\n", + "plt.title(\"Data\")\n", + "plt.savefig(\"fig-res_perceptron_res_data.pdf\")\n", + "plt.show()" + ] + }, + { "cell_type": "markdown", "metadata": {}, "source": [