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Frequentist vs Bayesian hypothesis test giving same results answer to CrossValidated.com question
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Raw
{
"cells": [
{
"cell_type": "code",
"execution_count": 59,
"id": "532549ab",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"H_A\tH_B\tBayes\tz-test\tdiff\n",
"3\t4\t0.215\t0.240\t-2.44e-02\n",
"4\t1\t0.986\t0.991\t-5.33e-03\n",
"1\t1\t0.504\t0.500\t4.06e-03\n",
"3\t3\t0.501\t0.500\t1.03e-03\n",
"3\t2\t0.757\t0.741\t1.61e-02\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 3 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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ERUXx4osvUl1dzfe//33++c9/MnLkSB544AF+/vOfh7/33nsu/41eESjLz88/NX369AsaTn1RrhnKHC5vZFiYidHDe06c7d+/vzk3N/eC1cz5+fnJ06dPH9PbNV31a1FtM01tZqakxw3Yfk3/GahfbeOG3P9sQXGdw+N5WQkuPd6+qUpycvIFx1evXs11113HLbfcMkgLDfrr1yFVrhmqWJWi3Xy+s8bbRISa6LBYsVh1e6JG422GVLlmqNJutqJQDiddvUFEmPHh0ma2EBWu33Ke5s477+T9998nNjY28vjx4w7H2NqhHwfCgGql1MAL2xrAaJN0xJo1a7xqR3d0Jj8EcLV90lPYn9eTk6+a86xevZr169c7PS8iCcDTwA1KqRzgVqeDNQGPDvJDAPukp6/KNeGhJgShrUMHeW+wePHizt5rJ3wFeFMpdQZAKdXnJiKawEV/dx4CtJmthIWYCDF5t7PGjkmE8FATbX6kYTPEmQiEicgGIBZ4Qin1kqOB5eXlydXV1SkAVqv+kA5EdJAfArSZrT4r1diJCDXpco3/EArMBi4HIoEtIrJVKXWk+8C0tLTqtLS0ajC6a7xrpsYd6CDvJZy1V3kapRRtHRYSosK9+rzdiQgz0dhmRinl9V59T+Irvw6SYozJ1nPAORHZCEwHegR5O2O+/4EtwHeXNxoYp35xbe/nT53iuuuuY//+/S5fc82aNVx11VVkZGT0PlApqC+CtkaIy4TIhM5TCyZlsfVwMZXlZfzvD7/Pr//wImDIFBQWFnLHHXdwzTXXcNtttyEivP7664wbN85lG32Brsm7gLe17wdLV3vNVoVF+a6zxk5EaAjK1srpLwSyXwfJO8AlIhIqIlEY4nPOdn0LGFyRkS4orqO4tBiaazCbzVhqT3OguKZHj3xqWnpngC8vL2fz5s0UFBTwyCOP8Pbbb3PjjTeyZ88evw/wMESCvC9kS3Nycnj22Wf7tM3TsqUzZ0znazdcydGD+x3Klv7gBz9wy2vcF57osBnKfu1Njnbq1Knk5uZy+vRpGTFiRN5vfvOb5MceeyzFLj6nlDoIrAcKgO3Ac0op11NmL+FIQhoYtIx0MvU0qwhOqAzOFBWx8sYr+cq1l/HUL3/W+dwlRWf44uWGLMFVV11FZWUlM2bM6FS8fO6551i6dKn3X5QB4P1yzRCRLW1paWHu3LncfPPNDB8+3KldnpYtfe7Pr/DWB3/nnrvvIj+/p2zptm3bOHLE6bd01+nDr1EostsshIeawFX9HO1XoP9ytBEREdTW1nLkyBGHKyMBlFK/BH7pmiN8Q3cJ6aeffpqHHnqIBx98cMAy0pNnzmeYdFCskmkljEce/TXfXHkL82++j7+t+aNDO959912uu+469u7dCxgl0JiYGL797W975XUYLEMikwfXZUs3btzY+RhXZEsjIiI6ZUsBnnzySaZPn86CBQsoKiri6NGjvdr16quvMmvWLGbOnElhYSEHDhzoPNdVtrSroqKrsqW33347bR0WLrpkCbW1PWVLX3jhBcLDvVOrFwQRx0p7g2Go+hWcy9F606+epLuE9Oeff87hw4c7ZaRnzJjBf//3f1NcXOzw8f/617+YP38+06ZN45NPPqGwsJAYMb7pNagoALbs2Mvqm64gDAvX3fxlh9cJdLyfyQ8R2dKoqCguvfTSXqVrvSFb2tpFzsCRbKnbcMGv5VVNKAXjU2Pc9rRD1a+OxnnErz7E0euhlBqUjHQMLbSocMwY/xMKQUSIpoWzHvtLfMuQyeQd4UnZ0kOHDrF169Zex3tDtrStw8qebZ87lS2tq6sb8N/bX4bZeuU9LYo3FPwKvcvRetOvnqK7hPSiRYuYNGnSwGWklSKaVs5xXgFy+pz5/PXtj4iSNj586zVv/nleo89MXkSGARuBCNv415VSP+w25lKMGXt7f9WbSqmfuNVSD+Ep2dJJkyaxYMGCXsd7WrZ01erVvPzXhcTFxPSQLU1JSaGtrY3s7GwSExMjb7jhhozf/OY3F7QmuNuvEWEhWM61Y7YqwkI820YZzH51RY72oYce4jvf+c6A/+bunPrFtbu8rULZXUL63nvvJTw8nNdff31gMtJWMyZRNFvPv67f/fEv+NGDq3jihbUsuuZmr/1tXkUp1esNECDGdj8M2AYs6DbmUuB9Z9fYu3fvKaXUzq63wsJCpXHO6NGjVVVVVY/jq1atUq+99ppL12hs6VD5RWdVQ0t7j3NWq1U1NjYqpZTavXv3uWnTpjV9/PHHB5XNP3v37j3lbr82trQ7tWeo4A6/usq+ffvOqW7+sfmsz//7oPyfPVetVMludaioUuUXne28VRQfV5bi3WpfUe0Fx+03f6O/fu2zXGO7bpPt1zDbTWvGBgCtNhmBYQ40a0SEmBijNm42mzGbzeLpRUp2NcpWrWGj8QUdLViU0MaFe6S2qAhMAhG0+8gwz+LSxKuIhAC7gPHA75RS2xwMWygi+UAp8G2lVGH3AVoHw3XcIVva1mElRIRQJ6URi8XC7NmzOXLkSNSqVavKL7vssnMOhrnNr2EhJkJNJo/uEuXv+Ksc7ZCgvZlWenYd2Y8No4MWPLMPsS9xaeJVKWVRSs0AsoB5IpLbbchuYLRSajrwW+DtbuetVqtV0tLSqnNzcw/m5uYeDA3VigqeptVsISIsxKmMQEhICHv37uXjjz9u3r17d/SOHTuGAVitVgGseMCvEWEmWv1o1etQootfXRxuDR79CaXA3OowyLcThlUJERKYmXxffu1Xd41Sqg7YAFzd7XiDvaSjlPoQQ+Guq5jH/qqqqvigetMEAG0dVoa5IEwWFxfHokWLGt977714q9UqVVVV8cB+T/h1WKix36vywraTmvN09auLDwmu/1mrGZSFNgdBXgFthDEsAMs1rvjVle6aFKBDKVUnIpHAFcD/dhuTBlQopZSIzMP48KixnzebzXeXl5c/V15enms7R01NTVAJVfkbFquirL6VpsgwGit6urm2tpbQ0FDi4uI4ffp06EcffTR89erV9fv27UsE9pvN5rs94demNjN1zR2oumE+kz4eKpSXl4daLBb7h7IVm19deWzQ/c+a26CpkmrVRivVPU53SAPhmKlQzT3OHWyM9IaFLtNfv/a5kbeI5AEvAiEYzn5VKfUTEbkHQCn1jIg8ANwLmIEW4N+UUpt7u+6cOXPUzp07XfyzNP1ly/EaVvxxKy/dOY/FE1N6nC8oKGDVqlVYLBb27dvXCvzcG37ddqKGLz+7lTV3zOXSSamD+As1fSEiu5RSc9x1vYD+n931Irz3LS5p+w1FakSP0w+FvMFDoW8ype1PPbL9vhQzvU1//dpnJq+UKgBmOjj+TJf7TwFPufqkGs9zrNJYFDJhhOPVpXl5eezZswcAESlUtv53T/t14ohYAI5WNOkgr/EeNUchJIIS1TPhATilRmASRZZUcVxletk4zzKkV7wGM0cqmoiNCCUtrueCGl+SGB1OckwERyoafW2KZihRfRSGj8PqJOSdsWX3Y6Tcm1Z5BR3kg5SjlY2MHxHjlzXUiSNidJDXeJea4zDcufb7KVuQHy3Bt92tDvJBytGKJiamxvraDIdMHBHL0comrFbdYaPxAvadoBJGOx1yllgaVCSjdSavCQRqmtqoOdfutB7vayaMiKG53UJJXd+KkZr+c+edd5KamgqQ09s4EZkrIhYRucU7lvmIc1Vgbu01yINwRo3QmbwmMDhaaahQTBjhv5k8GCUljftZvXo169ev73WMbRX7/wJ/94pRvqTujPEzYWSvw06pEYyS4JBp7ooO8kHI4XIjeE7y1yBvKyMdqWjqY6RmICxevLhzk5FeeBB4Awi+1LU7daeNnwmjeh1WpFLJkirE5UXBgYEO8kHIofJGEqLCGBHnnzoc8VFhpMbqDhtfISKZwBeAZ1wY+w0R2SkiO6uqqjxvnCewZ/LxvWfypWo44WIhmQYvGOU9dJAPQg6VNzA5LdYvO2vsTBwRq4O873gc+J5Sqk+lOKXUs0qpOUqpOSkpjnvM/Z66IohMhGFxvQ4rVcaevRnSc0VsIKODfJBhtSoOlzcyOa33N7SvmZQWy9GKJiy6w8YXzAH+JiKngFuAp0XkJp9a5EnqzvSZxQOUKkMpIENq+hgZWGgpyCCj6Gwzze0WpqT7Zz3ezuS0WNrMVk5Wn3Prnq+avlFKjbXfF5E1GBvDvO0zgzxN3RlIntDnsPOZfHAFeZ3JBxmH7JOufp7JT0k37DtUHlz1T39gxYoV9r1jI0SkWETuEpF77LpEQwoXeuTt1BPNORURdEFeZ/JBxqGyRkSMVaX+zPjUGEJMwqGyRq7L87U1wYV931gR2d2XkJVSarU3bPIZzTXQ0dxnZ42BUKaG65q8xr85VN7AmOHRRIX79+f3sLAQxqVEc7BMZ/IaD9JQYvyMy3BpeKkaTnqQZfI6yAcZh8obmZzm3/V4O5PT4jrLSxqNR2iytX3Gprk0vEQlk6mDvMZfaWm3cKrmHJMCJMhPSY+jpK6F+pYOX5uiCVaabCtYo11r/yxTw0mResIJnvekDvJBxJGKRpTC79sn7Uy2dQAd0iUbjaewB/kY1/YuKMXosEmTWk9Z5HX6DPIiMkxEtotIvogUisiPHYwREXlSRI6JSIGIzPKMuZresHequNI+2drayrx585g+fTpAji/8OiXN3mGjSzYaD9FUCeGxEB7t0nB7G2VmEE2+ujI71wZcppRqEpEw4HMRWaeU2tplzDXABNttPvB720+NFzlY1khUeAgjE6P6HBsREcEnn3xCTEwMInIAuNrbfh0RF0FiVJiefNV4jqYKl7N4gAqVCEAKdR4yyPv0mckrA7uSVJjt1n2Z4o3AS7axW4EEEUl3r6mavjhc3sjEEbGYXNggW0SIielssxR84FcRYXJaHAd1Jq/xFE2VENNzT1dnVNqC/Ag56ymLvI5LNXkRCRGRvRiKdf9QSm3rNiQTKOrye7HtWPfrBL7YkZ+ilOJQeUO/VrpaLBZmzJgBMB0f+XVKehxHyhu1vIHGM/Qzk28kkmYVQarUec4mL+NSkFdKWZRSM4AsYJ6I5HYb4ih17PFfGxRiR35KZWMbZ5s7+jXpGhISwt69ewEK8JFfJ6fH0tJh4XTNuX49TqNxiX5m8iBUqoShl8nbUUrVARuAq7udKga6KgBlAaWDMUzTP+x17QH2yFvwkV/15KvGY3S0QFt9vzJ5gAoSh1YmLyIpIpJgux8JXAEc6jbsXWClrRtjAVCvlCpzt7Ea5xywB/l01zL5qqoq6urq7L8KPvLrhBExmES3UWo8QJNtP5R+ZfJQpRJIJXgyeVe6a9KBF23bhZmAV5VS79vFjpRSzwAfAsuBY0AzcIeH7NU4obC0gZFJkcRHhrk0vqysjFWrVmGxWACmAj/3hV+HhYWQnRLDgTKdyWvczACDfIVK5FLTXvfb4yP6DPJKqQJgpoPjz3S5r4D73Wuapj8UltSTkx7v8vi8vDz27NkDgIgUKqV+Ar7x65T0OHafDp7MSeMn9HMhlJ1KlUCMtBJNC+eI9IBh3kWveA0CGls7OFXTTE5GYKx07c5Uu7xBc/AsJdf4AZ1Bvv+ZPBA0dXkd5IOAg7ZSR26m65m8P5GbaXw4FZbW+9gSTVBxztbOG53cr4dVkgAET6+8DvJBgD04Bmomn5NhfDjt10Fe406aKiBqOIS4Nk9lpzOTD5JVrzrIBwH7SxpIjokgNW6Yr00ZEEnR4WQmRLK/RHfYuIM777yT1NRUgBxH50XkqzYtogIR2Swi071roZfod4+8QZVKACBVZ/Iaf6GwtD5gs3g7ORlxOpN3E6tXr2b9+vW9DTkJLFFK5QE/BZ71imHepp+rXe00EEWLCtc1eY1/0Nph4VhlU2ddO1DJzYznZPU5mtrMvjYl4Fm8eDFJSUlOzyulNiul7GnqVoxFbsFHU8WAMvlgW/Wqg3yAc6SiEbNVdda1A5XczDiUQitSep+7gHXOTgas3pRStnJN/zN5sK161TV5jT9QWGoExUAv1+TaJ19LdMnGW4jIUowg/z1nYwJWb6qtAcytA8zkjV55XZPX+AWFpfXERoS6pCHvz6TGDSMlNkJPvnoJEckDngNuVEoF16amMODVrnaqVAIpuiav8QcKSxuYkhHnkoa8v5ObEad75b2AiIwC3gRuV0od8bU9HmGAq13tVKl44qSFCNrdaJRv0EE+gLFYFQfLGjpLHYFObmY8RyubaO2w+NqUgGbFihUsXLgQIEJEikXkLhG5x65LBDwKDAeeFpG9IrLTZ8Z6igGudrVTjfE/lUzgJx2uCJRp/JQTVU20dlgDvh5vJycjvvODa+aoRF+bE7CsXbsWABHZrZSa0/28Uupu4G5v2+VVBlmuqVa2IC+BH+R1Jh/AFBQbb8BpWcGRydv/jv2lui6vGSRNFWAKhWEJA3q4DvIav6CguI6o8BDGpcT0PTgAyIgfRmJUGIW6w0YzWJoqIToVTAMLcfYgn6KDvMaX5BfXk5sZT0gQTLqCsbF3bma8XvmqGTyD6JEHqMEogQZDTd6VnaFGisi/ROSgiBSKyEMOxlwqIvW2SZy9IvKoZ8zV2Gk3WzlQ1sD0AZZqioqKWLp0KVOmTAHI8Re/5mTEc7i8kTaznnzVDIIBr3Y1aCOcBhUVFOUaVyZezcC/K6V2i0gssEtE/qGUOtBt3GdKqevcb6LGEUcqGmk3W8nLShjQ40NDQ/n1r3/NrFmzEJGDwP3+4NfpWfF0WBQHyxqZMTLBW0+rCTaaKiF9cLprVSo+KIJ8n5m8UqpMKbXbdr8ROAhketowTe/kF9cBMH2AQT49PZ1Zs2bZf7XiJ36dbgvs+UV1PrVDE8BYLYaW/CAyeTDaKIdcTV5ExmBsBbjNwemFIpIvIutExJnEaWDqYPghBUX1JEaFMTLJLduTheMnfk2PH0ZqbIQO8pqB01wLyjL4IK/igqIm73KfvIjEAG8ADyuluve47QZGK6WaRGQ58DYwofs1lFLPYpM1nTNnjhqo0Rojk5+WlYDI4CZdm5qaAMZhrH70uV9FhOkjE9hr+6ai0fQb20Koe98pZt1bHwz4MlUqgUWm/e6yyme4lMmLSBhGgP+LUurN7ueVUg1KqSbb/Q+BMBHp355bGsd0tMDOP8E/fwpntgLQ0m7haGXTgCddOy/d0cHNN98MUOtPfp0xMoETVeeob7Ht+Vq0Az75b9jxHLSf8/TTawIdW5CvUoP7/6hW8cRLM5jb3GGVz+gzkxcjVXweOKiU+j8nY9KACqWUEpF5GB8ewSd65G0ayuDlm6DqkPH7Z7+Cxd+lMPteLFY14ElXAKUUd911F1OmTOGjjz6qcDTGV361zzPsK65nUdka+OSn509ueRpWvgMJIz1thiZQsa12rbLt1TpQ7NIGnKuC+MCV3HelXHMxcDuwT0T22o79JzAKQCn1DHALcK+ImIEW4DallC7HDAaLGV5bBXVF8NU3YPRC+PC7sPExzlXHAOMHlclv2rSJl19+mWnTpgFMtfnWL/xqX/natPtVOPhTmHYrXPc4lOyEV1bC374Cd38MoRGeNkUTiHRm8gmDuox9QRRNlcEd5JVSnwO9Fn6VUk8BT7nLKA2w/Vko2gZffA4mXGEcu+FJqD3O3EOPMTX2iUHt6bpo0SLs8VpEDjjROPGJX+Mjw5iRbOHiw7+AjFlw0zMQEgrZl8IXfm8E+a1Pw6JHvG2aJhBoquSciqCZwe153BnkzwV2k4he8eqPtDYYpZnsSyHv1vPHTSFw/ZNEWJv5t8gPfWaeN7g/4iOirQ2oG540ArydydfCpOWw8VdwTlcENQ5oqjgfoAdBZ7mmyWE1M2DQQd4f2fEcNNfA5T0XmNZHj+UtyyIubXofmgI7w3BKy1mW1L3JOstcyoaN73n+8kehvQl2veB92zT+T1PFoOvx0GXi1q5oGaDoIO9vWC1GN82YSyBzdo/Te4rO8nvz9YRa22Dvn31goBfI/xvhlnM8bb7Jcb986hQYdzls/2PAdz5oPEBT5aA7a8CQNmhUkbpco3Ezxz6G+jMw17Hc9+7TZzlJJpaRF8GuNWC1etc+T6MU7H4Za8YsjpqynffLL7jP+Bp9ZL1XzQsE7rzzTlJTUwGcLV4TEXlSRI6JSIGIzHI0LmA5VznoSVc71SpOZ/IaN7P3rxCdYtSeHbD7TB2T0uIImXsnnD0Fpzd51z5PU7YXKgsxzfwqUzLinK98HbfUWNFY8Ko3rQsIVq9ezfr1vX74XYOxqG0C8A3g996wyyuY26DlrFsyebDV5XUmr3Eb7efg6Ecw5QYICetx2mJV7C2qY9aoBJi8HEIj4cA73rfTk+S/AiERkHsLM7LiKSiux2J10LVpCjFaK4/83VjGrulk8eLFJCUl9TbkRuAlZbAVSBCRdO9Y52FsAdkdNXmwddjoTF7jNo5+BB3NkPMFx6crG2lqMzN7dCKER8OEK+Hgu0YdPxhQCg59AOMug8gEZo5KpLndwqFyJztFTbsFrB3GYzT9IRMo6vJ7MU7E6QJOb8pNq13tVKt4OKeDvMZdFL5l7GYz+iKHp3efrgNgln3/05ybjDd1kSNdsQCkfJ8xHzF5OYDxYYYxD+GQ9BkQl6nr8v3H0boXh4vclFLPKqXmKKXmpKSkeNgsN2Bf7eq2mnw8tJwFS4dbrucLdJD3FywdcOwTmHSNUYpwwK7TZ0mKDmf08CjjwIRlEBIePJnsoQ8AgYnXAJCVGElqbAQ7nQV5EeP1Ov6JofGjcZVioKsuRBZQ6iNb3IubVrvauUDaIEDRQd5fKNoO7Y1GCcYJe86cZdaoLsqTETFG1n/sn14y0sMc/gBGLYAYI2MUEeaMSWTnKSdBHowg39EMJzd6ycig4F1gpa3LZgFQr5Qq87VRbsGWydu37xss1UHQK6+DvL9w7GNjd/mxix2ePnuunRPV55hlK2F0Mu5yqDoI9SVeMNKDNJYb5ZqJyy44PHt0EiV1LZTXtzp+3JhLICzamIDVALBixQoWLlwIECEixSJyl4jcIyL32IZ8CJwAjgF/BO7zkanup6kCIhNpp2fjwkCoCgJpA5f15DUe5vg/YeR8GOZ4wmhPkZHNdtbj7Yy/Av7x/4zHz1rpaSs9hz0Tz156weE5tg+1XafPcm2egwaQ0AgYczGc/NTTFgYMa9euBUBEdjvRJFLA/d62yyvY93bt5ctff6hCZ/Iad9BUCWX5MP5yp0N2n64jxCTkdVeeTJ0CsRnGN4FA5sSnEJkIaXkXHJ6aEcewMBM7T/fSJjl2CdQcg/piDxup8XuaKo11Jm7ifLkmcPVrdJD3B05sMH6Ocx7kd50+y5T0WKLCu335EjFaDk98GrirX5UyXoMxl4DpwrdkWIiJ6VkJzjtswBByA+M10Axt7Jm8m2hhmFEO1OUazaA49blRpumWxdoxW6zkF9dxy2wnmtZjFhk6NpUHIC3Xg4Z6iNoT0FAMlziWDp4zJpE/fHqClnYLkeEOOo9Sp0JUslGymflVDxur8WuaKt0a5AFOt0Wzd9NeHtrQs4vt1C8cr0z3J3Qm7w+c3gyjFvbIYu0UljbQ3G5h3lgnqxjHXGy7ToBKHNi/yYy91OHp2aMTMdtW+zrEZILsJUYmr/eqGbq0NRmdVjGpbr1sFQkBvaF3n0FeREaKyL9E5KCIFIrIQw7GBLfgkSdpqoSao04XQAFsP2nUo+eNcRLkE0ZB/Mh+BfmioiKWLl3KlClTAHJ86tdTnxvzCsPHOTxtn2zefaaXks3oi6GpHM6e9ISFmkDAXjd3cyZfreJJkTq3XtObuJLJm4F/V0pNARYA94vI1G5jglfwyNOc3mz8HH2x0yHbTtYyNjm6952gRl9sXMvFTDY0NJRf//rXHDx4EOAgvvRr0TajP14cb0CWEBXOhNQYdp7qZfJ11ELjp22zc80QxN4B4+5MXsWTLEGcySulypRSu233GzECQnedi+AVPPI0Z7ZAWBSkT3d42mpV7DhV6zyLtzP6ImNyqPqoS0+bnp7OrFmdibkVX/m1rggaSowg3wtzxiSy6/RZx2JlACmTjXkNHeSHLh7M5JOkiVDMbr2ut+hXTV5ExgAzge5iKS4JHgWc2JE3OL0JsuY6VJ0EOFLZSH1Lh/N6vJ0xi2zX+3wgVoTjK7/adXdGzu912Pyxw2loNTsXKzOZjGvoID906czk3Rvk7YqWw3Hy3vNzXA7yIhIDvAE8rJTq/te6JHgUcGJHnqalDsr3u1aP7yvIJ2Ub/cFFO/plQlNTE8A4fOXXom1Gi9qI3ruC5mcbf//WE72UbEbOh+rDWnp4qNJUARICUX38r/STamVIJARqycalIC8iYRgB/i9KqTcdDAlewSNPUrILUL1msdtO1pIRP4ysxMjeryVifCModj3Id3R0cPPNNwPU+syvZ7ZC1uwLN+t2QHp8JKOHR7H1RC+bd9vr8sGiyqnpH00VRqLjROBvoNgXRAXq5Ksr3TUCPA8cVEr9n5NhwSt45ElKdxs/M2Y6PK2UYvvJWuaNTTovStYbWXOMTh0XMlmlFHfddZe9u8bZcj7P+rWtESr2w8je6/F2FowdzvaTtVid1eUzZ4EpTJdshipNlW6fdAWotJVrUoI4k78YuB24TET22m7Lh4zgkScp2QPDx0NkgsPTp2qaqWpsY97Y4a5dL2uu7bq7+xy6adMmXn75ZT755BOAqT7xa8kuUFYY1Xs93s787CTqWzo4VN7oeEBYpDGBrTP5oYmbV7va6czkA7RXvs8Vr0qpz3Fcm+06JngFjzxJ6Z7zC5kcsP2kUZrosx5vJ2MmiMko2Uy4otehixYtQtnaLUXkgE+ErM5sA+T8h1MfzM82Puy2naxhaoYTKdmsubD7RbCY+ywBaYKMpkoY4XDv8kHRSgSNKjK4a/IaD9BYDo2lkOF8fdG2k7UMjw5nXEq0a9eMiDWW+PejLu9TSnZByiSnypvdyUyIZFRSH3X5zNnGqseqQ24yUhMQWK3GNn0eKNeAMfkatDV5jYewl1QyHQd5pRTbTvSjHm8na44RPP1drEwpY06ilw85R8wfm8S2vuryYJvU1gwZWs6C1eyRcg3YpQ2CvIVS42ZK9xillbRpDk+frmmmpK6Fi8a5WI+3kzUXWuug9vjgbfQkDSXG4i0nH3LOWJA9nLrmDo5UOqnLJ2Ub3wyGcJBfv349kyZNAsgVke93Py8i8SLynojk26RK7vC+lW6mcyGUpzL5wF31qoO8ryjdDSlTINxxKWbT8WoALhqf3L/r2uvb/l6yKem9s8gZnf3yx52UbESMko0Lk8/BiMVi4f7772fdunUAhcAKB3IV9wMHlFLTgUuBX4tIuHctdTPnPLMQyk4g69foIO8LlDKCUKbzALf5WA1pccPITnaxHm9n+ASIiDf2jPVnSncb2x32sQiqO1mJUWQlRva+KCpztiG73N48SCMDj+3btzN+/Hiys7PBWLj2Nwx5iq4oINbWHh0D1EKArtm346HVrnaqVDwJco5wOjxyfU+ig7wvqDsDLbVO69FWq2Lz8WouGj+8f/V4MJb3Z840ykH+TOkeoxMirBfRNSdcNG44W07UONexyZwNygLlBYM0MvAoKSlh5Miu69ccSlE8BUzBWNi2D3hIKeVwEidgpEg8Xa6xbQMYiNIGOsj7gj4WQR0sb+BscweL+luqsZM+AyoKwdw2sMd7GqWMIN/PUo2dRRNSqG/pYF+JkxppxtCdfFWOVUi7H1wG7AUygBnAUyLisCc1YKRImiogdBhEOGmtHSRVKgEITGkDHeR9QcluCAl3WqrYdMyox1880CCfMROsHUbJwh+pPQGt9f3urLFzsW0y+vOjTjLL2BEQlzUkg3xWVhZFRUUXHKKnFMUdwJs2ddFjwElgspdM9Az21a79/ebrIoEsbaCDvC8o3WME+FDHc12bjtUwLiWaEb3px/eGPUP215KN3a5+dtbYGR4TQU5GHJ8drXY+KHPWkJx8nTt3LkePHuXkyZNgLGK8DUOeoitngMsBRGQEMAljZXPg4qHVrnaqbEFeZ/KavrFaoXSv01JFu9nK9pO1A8/iwdgpKjLJf4N8yW7jq3XKwJPHRROS2X3mLOfanMwXZs42dokaYoqUoaGhPPXUUyxbtgwgB3hVKVXYTa7ip8BFIrIP+CfwPaVUL5+YAYAH9nbtir0mH4jbAOog721qjkF7o9Msdm9RHS0dFi4aN4ggLwIZM/w3yJfuNjYtd6Kh7wqXjE+hw6I6pZh70Lkoauhl88uXL+fIkSMA+5VSPwNQSj2jlHrGdr9UKXWVUmqaUipXKfVnX9rrFuwKlB6ijXAaVFRAipTpIO9tOiddHQf5z49VIwILs/u5CKo7GTOh8iB0tA7uOu7GaoGy/AGXauzMGZNIRKjJeckmfQYg519vTfBibofmGohN8+jTVKl4HeQ1LlC6x9juL2WSw9OfHqlixsgE4qMGnuUCtslXs9Fl409UHTa0ZQbYWWNnWFgI88Ym8ZmzyddhcZA8wX+/zWjch4cXQtmpJjAXROkg721KdhtyuA42NqhpaqOguI4lE93wtTN9hvHT3zLZPr7J9IdF45M5WtlEeb2TbysZM4dkuWbI4aG9XbtTpeJ1TV7TB5YOY4GOkwD32dFqlIJLJ7lhQUd8FkQlG5O8/kTpHgiPNXT0B8miCca8xefHnJRsMmZBUzk06E3KgppGW5CP9XAmH6D6NTrIe5OqQ2BudVqP3nC4kqTocPIyXZPe7RURI5Mt2zv4a7mTkt3GpLBp8G+9KWlxJMeEs/GIk5KN/XXWJZvgpqnc+Bnj6Zp8AvHSTATtHn0ed+PK9n8viEiliOx3cv5SEanvsmvUo+43M0joRZTLalVsPFrN4gnJmExuWtBhn3x1oOFy5513kpqaSm6u4wVZHvGrud3Y7m+Q9Xg7JpOweGIKG49WYbY4WJU/ItfY2FmXbIKbRs9KGtgJVGkDV9KpNcDVfYz5TCk1w3b7yeDNClJKdxsyuEnZPU7tK6mn9ly7e0o1djJmGBouFT0/n1evXs369ev7uoJ7/VpZCJb2QXfWdOWyyanUNXewp6iu58nwKGMTFZ3JBzdNFRA1fFAtua5QFaCrXvsM8kqpjRgqdZrBUrLbtkVfz0x9w+EqROCSCYPoj+9OLytfFy9eTFKSi9sKugu7HW7K5AEumZBCqEn45FCl4wEZM4wPV8eaLppgoKnC46UaOC9tEGh1eXfV5BfaNiBYJyJON1kMGEU7T9DRamjJOAlwG45UkpcZz/CYCPc9Z2y60XEw8EzWvX4t3QORiZAweqD29CA+Mow5YxL5l7MgnznL2DXo7Cm3PafGz2gs9/ikK5wXKQu0Xnl3BPndwGjbBgS/Bd52NjBgFO08QcV+o2/dQWfN2XPt5BfVscSdpRo4P/k6sA4b9/vVrjzpZhGpyyeP4FB5IyV1LT1PZujJ16DHS5l8DYbCZaC1UQ46yCulGpRSTbb7HwJhIuLGmkOQ0MuerhuOVGJVsHSSBz740mdA9WFoa+rXw9zu144WYxLYjaUaO0snGx+ODks2qVMNxU9/Wy+gcQ9W63kFSg/TThj1KmrolWtEJM22wwwiMs92TSd7sw1hSvdAdCrEdd+/AT4qrCA1NoLpWQnuf96MmaCs/d5Aw+1+rSi0fZNxf5AflxLNqKQoxyWb0HBjH90SnckHJS1nDVltD0sa2KlSCQE38Rra1wARWYuxD2SyiBQDPwTCwBA9Am4B7hURM9AC3Kac7FwwpCl1POna2mHh0yNV3Dgj032tk13JmGF7/r0w+qLOwytWrGDDhg1UV1cD5InIXXjSrx6YdLUjIlw2OZW128/Q0m4hMrzbauKMWZC/1sj63NCfr/EjOnvkPV+TB6hUCYwItiCvlFrRx/mnMLYT0zijrdHQbMn5Qo9TW47X0Nxu4aocD71JY9MgNqNHTXrt2rWd90WkQCn1fNfzbvdr6R5DJdDBNxl3cNnkVNZsPsXm49VcPqXba5kxE3b8EWqOOtUM0gQodkkDL2Xy5SQxl8NeeS53odMab1BWACiHk64fHaggOjyEi8YNUnWyNzL8YM9Xu4a+h3buWZA9nNiIUP5eWN7zpF75Grw0eke3xk6lSiRVztJzR0X/RQd5b+BkT1erVfHxwQqWTEohIrSnYJnbyJhpZLGtPlqp194MVZ6ZdLUTHmri8imp/ONARc/Vr8kTISxar3wNRrxcrilXiUSImUQavfJ87kAHeW9QshviR0LMhd0z+cV1VDW2cdVUD3/VtAfXsnzPPo8zyvcZk792ZUwPsSwnjbPNHWw/1W3tninEUP4cIh0269evZ9KkSQC5IvJ9R2NsshV7RaRQRD71roVupLECwmMgIsYrT1ehEgECqi6vg7w3sE+6duOjAxWEmISl7u6P746v93z14KRrV4xvRCb+vt9JyaZ8n6EEGsRYLBbuv/9+1q1bB1AIrBCRqV3HiEgC8DRwg1IqB7jV64a6Cw/v7dode5BPk8ARAehz4lUzSJprjdWWs1b1OPWPAxXMH5s0+A1C+iJ6uLHvqy+DfEwaxKV79GmiwkNZMjGFvxdW8MPrcy7sVsqYaSiAVh6E9DyP2uFLtm/fzvjx48nOzgajcPw34EbgQJdhXwHeVEqdAVBKOVku7N+M+f4HvBJ+AAjjy9//wCvPaQ/yRl0+MNCZvKexlwgyZ19w+EhFI8cqm7g61ztdAT6dfLWvdPUCV+emUd7QSn5x3YUnOr/NBHfJpqSkhJEjR3Y9VAx0b2maCCSKyAYR2SUiK51dz9+lSFKo65Qb8AZVGM81Ah3kNXZKdgNyvl/dxvv5pZgErsn1bHbbScZMOHvS+GbhTdoaofqI14L85ZNHEGoS/l5YceGJpGxDATTIO2ycLGXofjAUmA1cCywD/p+ITHRyPT+WIlGMkLOd2bU3aCeMGhVLms7kNZ2U7Da6O4ad3whEKcX7+8pYkD2clFg3CpL1Rufk617vPJ+d8n0Y7aPeCfLxUWEsHDec9fvLLgx4dh2fIO+wycrKoqio6IJDQPetsYqB9Uqpc0qpamAjMN1LJrqNOJqJljbKlHfVVCtUki7XaGwoBSW7eujVHCxr5ETVOa7N81IWD0Z3CXg/k+2cdJ3htadcPi2dUzXNFJZ2axnNmGUogXY42RM2CJg7dy5Hjx7l5MmTAALcBrzbbdg7wCUiEioiUcB84KB3LR089snPcq8H+QRG6CCvAaC+2NhJvls9/oN9pYSYhKtzvFSPB0PiNynbN0E+LssrAlJ2rs5JIyxEeDe/WwKbMdPQz3GwiUqwEBoaylNPPcWyZcsAcoBXlVKFInKPiNwDoJQ6CKwHCoDtwHNKqYB7UdJtQd77mXyiLtdobJT2VJ5USvF+QRkXjRvuXu14Vxi47PDAKd3j1SweIDE6nCUTU3gvvxSrtUvJxu6HIC/ZLF++nCNHjgDsV0r9DAw9IpsmEbbff6mUmqqUylVKPe4jUwfFCF9l8iSRTD0hWLz6vANFB3lPUrILTGHGXqM2CksbOF3TzHXeLNXYmXgNTLgSLGbvPJ/VCtlLYfK13nm+LtwwI5Oy+lZ2dF0YFZdpKIEG+eTrUCGdWqxKqMR7E69gZPImUaRQ59XnHSi6T96TlOw2ZG5Dz2fs7xWUEmoSz69ydUTercbNW5hMcO2vvPd8XbhiSiqRYSG8k1/K/GybLlDnJirBnckPFdKklhri6PByGKuwtWwGSl1eZ/KewmoxSiNd6vEWq+LtPSUsmZhCYnS472wbAkSFh3JVzgg+3FdGu7mLlk3mLEMRtC1wtEc0jkmXWq/X4+F8eUgH+aFO9VFob7ygHr/5eDUVDW3cPDvLh4YNHW6ckUFdcwefHe2yiCdjFqBsyqCaQCZNar1ejwdDiRKCKMiLyAsiUikiDmffxeBJETkmIgUi0lNPdyjiYKXrG7uKiRsWymWTvddp4ow777yT1NRUcnNzHZ4PBr9eMiGFxKgw3t7bpctmiKx8HQqkS41PMvka4uhQIZ3dPf6OK5n8GuDqXs5fA0yw3b4B/H7wZgUBJbsgPBaGTwCgqc3M+sJyrp+ewbAwD8oKu8jq1atZv359b0MC3q9hISaun57B3wvLqW+2CZPFpBiKoEHeYRP0tDURL82UKw/uw+AEKybKVRLpEhi7nPYZ5JVSG4HePrJuBF5SBluBBBHxQeuIn1G0HTJndm439+G+Mlo7rHxxln+UahYvXkxSUq9ZUFD49UtzRtJutvJufsn5gxkzdIdNoNNYBni/R95OKcPJlGqfPHd/cUdNPhPouo7akSAS4P9iR26jrclYcDNyQeehN3cXMzY5mlmjEnxnV/8ICr/mZsYzNT2OV3Z2+VMyZvlGx0fjPhqMElyFl9sn7RSrZDKCJZN3AUf7uTlWSfJrsSM3UrLT2CRj5HwAztQ0s/VELV+cmYl4aPs7DxA0fv3y3JHsL2mgsLTeONC5HaAu2QQstiDvs0xeJZNGrffWnAwCdwT5YqCrtqkjQaShRdF2QGDkXADW7jhDiEm4dc7I3h/nXwSNX2+ckUF4qInXdhYbBzJng4TAmW2+NUwzcBqM8psvumsAStVwQsXaWTbyZ9wR5N8FVtq6MRYA9Uop///LPcmZrZA6FYbF02628trOIi6bnEpa/DBfW9YfgsavCVHhLMtJ4609JbR2WCAi1likdmaLr03TDJT6Ys6qGFrxsjSIjRKV3GmHv+NKC+VaYAswSUSKReSurmJHwIfACeAY8EfgPo9ZGwhYLVC8A0bOA+CjA+VUN7XzlfmjfGzYhaxYsYKFCxdy+PBhgLxg9+uX5mRR39LB3wttWwOOWgjFO8Hc7lvDNAOjvogi5bvSYCAF+T7XAyulVvRxXgH3u82iQKfqELQ1wChj0vWv286QlRjJ4gn+Vateu3Zt530RKVBKPd/1fLD59eJxyYweHsWft57mxhmZhn+2/R7KCyBrjq/N0/SXujMU+zDIl9pbN+vP+MwGV9ErXt3Nma3Gz5HzOFHVxObjNayYN4oQU8BMuAYlJpNw+4LR7Dh11piAtX0I65JNAKKUz4N8C8OoVTEBkcnrIO9uirYbSoeJY/nrtjOEmoRb5/hHb/xQ59bZI4kMC+GlzachNg0Sx57/UNYEDueqwNxKsb1k4iNKVbIO8kOSM5th1Hya2i28sqOIq3PTSI0NqAnXoCU+KoybZmby9t4S6prbjbr8mS1GZhhErF+/nkmTJgHkisj3nY0TkbkiYhGRW7xnnRuoM0okvszkwVayqSvqe6CP0UHenZw9bbwBx1zCqzuKaGwzc/cl2b62StOFVReNps1s5dWdRUbJprkGao752iy3YbFYuP/++1m3bh1AIbBCRKZ2HyciIcD/An/3somDp+404PsgX6KSob7I75MEHeTdyanPALCMXsQLm04yZ3QiM0Ym+NYmzQVMTotj/tgkXtpyGnOWsViN05t8a5Qb2b59O+PHjyc7OxuMxWt/w5Co6M6DwBtApRfNcw+2TL7Ex+WaEpUM7U3QWu9TO/pCB3l3cvIziErmo8pEis+2cPclY31tkcYBdy0aS/HZFj4ojYGYEXByo69NchslJSWMHHnBorsechQikgl8AXiGPvBLyYq6MxCZxDkifWpG54dMnX932Ogg7y6UMoLF2Et4ftMpRiZFcqUvdn/S9MkVU0YwPjWGZzaeRGUvgROfGlsVBgHKcemg+8HHge8ppfrcpNQvJSvqzkCC79ednFEjjDtnT/rWkD7QQd5d1J6AxlJOx81h5+mz3HHRWN026aeYTMI3FmdzsKyBw5GzoLkaKg/42iy3kJWVRVHRBZOBjuQo5gB/E5FTwC3A0yJyk1cMdAd+EuRPK9u+ELUnfGtIH+gg7y5sX/l/dyqDpOhwbpsXUDo1Q46bZmSSFjeM356yVTJObPCpPe5i7ty5HD16lJMnT4IhMncbhkRFJ0qpsUqpMUqpMcDrwH1Kqbe9beuAsPXI+0OQbyIKopKhVmfyQ4OTG2mPGsGrJ8O5+5KxRIXrPdL9mfBQE3dfMpYPTofQGpcNJz/1tUluITQ0lKeeeoply5YB5ACvKqUKu0lWBC6N5WBuhcQxvrbEIClbZ/JDAqsFTn7KTtM0EqLCWblwjK8t0rjAbfNGkRAVxiZrDpzaFDQ6NsuXL+fIkSMA+5VSPwNQSj2jlOox0aqUWq2Uet3bNg4Ye7trkp+0JieN1Zn8kKB0DzTXsLZ2MndePJaYCJ3FBwIxEaHcs2Qcr9aOh45zxj4AGv+m9rjxc/h439phJynbkD3uaPW1JU7RQd4dHP0IKyZ2h81i1UVjfG2Nph+sXDiaw5EzsWCCo//wtTmavqg5DiHhEO8nUiGJYwHVuUDLH9FB3g2c27+OXdbxrFiSR3xkmK/N0fSDqPBQVl2Wxw7rJM7tf9/X5mj6ovaEEVhNIb62xMBeNvLjko0O8oNENVYQXVPAjtA53LlIL34KRL4yfxQ7wuYRXXcEdfaUr83R9EbNcRg+ztdWnCfJ9j/vx5OvOsgPkv0b3wBgzMIv6I6aACUiNIRxi24FYN+/XvOxNRqnWK3GwiN/CvJRwyEiLvCDvIhcLSKHReSYI1U7EblUROpFZK/t9qj7TfU/OixWzu55l2pJ5Kqll/vanH7Tl1rhUPLrsiWLKDZl0rLvfVra+1wIqvEFDSVG+2SSHwV5EeNDx49F7lzZ/i8E+B1wDTAVJ6p2wGdKqRm220/cbKdf8udPDzCvYyct45YTGuonNUIXcVWtkCHi1xCTEDL5GmZa97HmkwJfm6NxhD2Q+lMmD5AyGaoO+9oKp7iSyc8DjimlTiil2nGuajekqGhoZd+G1xgmHYxc9BVfm9Nv+qFWOGRIn38z4WLh+OY3KKtv8bU5mu50BvkJvrWjOymToLHUb9UoXQnymUBXMYweqnY2FopIvoisE5EcRxfyS0W7AfKzDw5yBVuxRKUYm08EGK6oFdoYOn4duQBzdDrXsJmfvBccWjZBReUBGJZg7OrlT6RMNn5WHfGtHU5wJcg7Utnqrmq3GxitlJoO/BZ429GF/FLRbgBsOlbNR/knuTJ0LyFTb/Cfdq5+4KJa4ZDyKyYToXk3c2lIPpv2H2P9/nJfW6TpSuVBSJ1q1MH9iZRJxs+qQ761wwmuBPlioGvK10PVTinVoJRqst3/EAgTEd8q+nuIpjYz3329gK/G7yfM2go5N/napAHhilrhUPJrJ7k3E6LM3JG0n0ff2U99S4evLRryjPn+B4z5/vvUn87n5RNRtt8/8LVZ50kYDaHDAjrI7wAmiMhYEQnHgaqdiKSJGB+vIjLPdt0adxvrD/zvukOU1rfwreHbIH4UjF7ka5MGhCtqhUPJr51kzITEsdydsJPqpjZ+sc4//3GHGiM4S7w0c1j5obqrKQSSJ/jt5GufQV4pZQYewNgL8iCOVe1uAfaLSD7wJHCbclIPCGQ2H6/m5a2neXhOJPGlm2DGCjAF5lIDF9UKh4RfL0AEZnyF2NLNfGduOGu3n+GTQxW+tmrIM8lkfOs8avUTOYPupEwO6EwepdSHSqmJSqlxjlTtlFJPKaVylFLTlVILlFKbPWm0L6g9186/vZLP2ORo7kvcDiiYEXhdNV3pS61wKPjVITO/BhLC12M+Z0p6HN9+rYDKBv8VoBoKTJRiAI4oR70BfkDqFGNT75azvrakB4GZhnoZq1Xx76/upfZcO7/9ch5hBX+BMZf4j6a1xr3EZcDEqwnN/wu//dJUmtvN/Ptr+Vitwf0lxp+ZbCqiUiVwljhfm+KY9BnGzzL/W2Ohg7wL/PGzE/zrcBX/77op5DZ+buxMM+/rvjZL40lmr4ZzVYyv+ZRHr8vhs6PVPPUv/13V2BUXVjJ/VUQKbLfNIjLd+1b2jxw5yUGr73eDckpnkM/3qRmO0EG+Dz47WsVjfz/M8mlpfG3BaNj6tLH12OTrfG2axpOMv9xYPr/pCVbMzeKLMzP5v38c4aNC/26rdHEl80lgiVIqD/gp8KyXzewXw2hjohSTr/xkoxBHRA+H+JE6yAcaxyqbuO8vu5mQGsNjt0xHSnbDmS0w/56A7I3X9ANTCFz8LSjbi5z8lP/54jTysuJ55JW9HK1o9LV1TnFlJbNSarNSyl483orRPuu3TJXThIiiwOpncgbdSZ8OZXt9bUUPdJB3Qu25du56cQcRoSaeWzXH2O1pw/9AZCLMvN3X5mm8wfQVEJMGn/8fw8JC+MPts4kMD2X1n3ZQXu+fE7H9WMls5y5gnbOT/rCaOc9kKDwWWP04kwcjyNccg9YGX1tyATrIO6C+pYPbn99GeX0rf7h9DlmJUXBmKxz7GC5+GIb56eSPxr2ERsBFD8DJjXBiA+nxkay5Yy71LR2sfGEbdc3+tyesiyuZARCRpRhB/nu9XM/nq5mnmU5QrhKpJNEnz+8y9rp8uX9Nvuog341zbWbu+NN2jlQ08szts5k9OhGUgo9/BNEpesJ1qDH368ait7//F1gt5GbG8+zK2ZyqbuaONTtoaPWvFbGurGQGEJE84DngRqWUXy9wmyHH2efvWTxA1hzj55mtvrWjGzrId6G+pYPVf9pOfnE9v10xk6WTUo0TBa8YtfjL/h+ER/vWSI13CRsGV/4IKvbB3r8AcNG4ZH77lZnsL6nnq3/cxtlz/pPRu7iSeRTwJnC7Uso/VbXsNFUyzlTGDutEX1vSN1FJkDLFiBV+hA7yNiobWvnyH7awt6iOJ2+bydW56caJ5lr46L8ga66uxQ9Vcr4IIxfAR/8PGo3ummU5aTx7+xwOVzRy27Nb/aZG7+JK5keB4cDTts1gdvrK3j45vQmAbdYpPjbERUZfBGe2gdV/Np7RQR4oLK3ni7/fzJnaZv60eh7X5tkCvFLw7oPQUgfX/l/AShhoBokI3PiUsSvRew8Z7wtg6eRU1qyeS/HZZm546nP2FtX51k4bLqxkvlspldhlM5g5vrS3V05v5pyKoFCN8bUlrjH6ImhvhPJ9vrakkyEftd7eU8LNv9+M2aL42zcWsGhCF5HFHc/Boffhih9Cep7vjNT4nuQJcPkP4ch62PRE5+GLxifz5n0XExFm4kt/2MJrO4ucTX5qBsKpTeyyTsRMgOyfbN9b4rT/KIAM2SDf0NrBt1/L5+FX9pKXlcB7Dy4iLyvh/ICj/4B134MJy2DB/T6zU+NHLLgXcr5gTMIfXt95eFJaLO/cv4hZoxL4zusFPLh2D/XN/jUhG5A0VkBlIVutjnal9FPiMyFxLJzY4GtLOhlyQV4pxT8PVrDsNxt5a08JDywdz1/unk9KbMT5QSc3wqurYMRUuOV5XabRGIjAjb8z+qFfXQnH/tl5Kik6nL/cvYDvLJvE+v3lLHt8Ix8UlOmsfjAc/QiAT6wzfWxIP5m4DE5+Cu3NvrYEGGJB/khFIytf2M5dL+4kOiKUN++9iG8vm0RYSJeXYd/r8OdbDOmCr74OEbG+M1jjf4RHw+1vQfJEWHsb7Plz56kQk3D/0vG8ed9FDI8J5/6/7uZrz2+jsNQ/9/70e46sh7gsDvmjhnxvTFxmzN+c+szXlgBDJMgXFNdx7593sezxjeQX1fHodVP58FuXMH1kwvlBrQ3w/iPwxl2QMQPu+ND/9pLU+AdRSbDqXaP++s798M4DxuS8jbysBN59YBE/vTGHfcX1XPvk53z9pZ3k+8nEbEBgbjNKHhOvwvEOpH7M6IshLBoOO11I7FUCZDaj/zS0dvB+fhmv7Spiz5k6YoeFcv+l47lr0VgSo8PPD+xogfy/wYafQ1MFLHwArvgRhIT5zHZNABCVBF97Ez75KWx+0igtLPo3mL0KwiIJMQm3LxzDDTMyeXHzKZ7//CQ3HthEbmYcK+aN4tpp6SREhff9PEOVYx9DexNMWg6f+886BJcIjYAJVxhNG8t/6fNY4lKQF5GrgSeAEOA5pdQvup0X2/nlQDOwWim128229orZYuVoZRObjlXzr8OVbD9ZS4dFMSE1hv+6dgpfnjuS2GG2F9vSYaxKO/S+UZ5probMOXDbWsia7U2zfcr69et56KGHwCZJ649+9WtCQuHKHxv7/K7/T1j/Pfj0f43J2ZwvQNZc4iOH8a3LJ3DHxWN4a08Jf912hh+8tZ9H3ylk7phErpgygnljk5iSHndh2XCok7/WWGGevRRjU7oAI+/LcOAdOP6JUb7xIX0GeREJAX4HXIkhdrRDRN5VSh3oMuwaYILtNh/4ve2n21BK0dRmpq65g7PN7ZTVt3K65hyna5o5WtHEvpJ6WjosgCIvNYwH58Zx5fgoJsdbkIYC2P0BnD1tSIGWFxg1s9BhMP4KQ1VyzCL/2wXeg9glaf/xj38wbtw4uySt1/0aFGTMhDvXwanPYcfzsPevsPN5CImAzFmQMonY5ImsTBjF7V8YzpHGdD461cHfj9Tz3x/UAMKwMBO5GfGMT40hOyWa0cOjSYmNICUmguSYCCLDg1v1tOvG3PE0sSPiQ162XMVPfxCAAR5g/JUQmWRUCfw9yAPzgGNKqRMAImKXLu0aDG4EXrLt/7lVRBJEJF0pVeaKEfW1VdQ9tRSUQrAiqM77JhSgEGUcj0CRjiIDxVysmARCBULDFKERihBLK9Jghb0Yt66Ex0JaLsy5C0bNh3GXQ0SMKyYGHb1I0rrNr0OOMYuMW1uj0aF1ejMU7zAyOtu2cAJMst0eBBgGFlM47RJBa1UoHRWCRWH7LxCUEioREEFhMhIRES6oU4vxW/Q31pGc5scba7jIrSGfEi4W3rRc4mtTBk5oOEy7FXb9yWgFjR3hO1NcGJMJdFU8KqZnNudoTCZwQTAQkW8A3wAYNer8mzE0NJSaqGwQ+5vYhNh+2m8hJhPhoaGEhYUSHhZKZFgI0ZERRISFdj4GMUFYJITHGME7Is64xWdCfBYMSxhS2XpvOJGkdatfhywRsTD5WuNm51yNsQdoc7Vxv6XWmA8ytxJibiWyo5VIcyugaOswc66tg7Z2M20dZtrMFiwWC1arFavVirJasSplSEt2adFMCAv8Gn8oZu4MXccWy9TAWeXqjPnfhO3PwvY/wOWP+swMV4K8o6jYvfnXlTEopZ7FtgvNnDlzOs9HxyUy69vvdh+u8SAuStIOyq+aLkQPN24uEGG7DUVuCtlEhtTyn5a7fG3K4Bk+DqZcZ6ycv+hbEJngEzNcmekpBrqmfI6kS10Zo/EjXJSk1X7VeI1IWvn30NcosI5lg3WGr81xD4u/a7Rnb/ylz0xwJcjvACaIyFgRCceBdKnt95VisACo13Vb/8YVSVq0XzVe5JHQN0iXWn7ScTsB1xvvjPQ8mLUStj0D5ft9YkKfQV4pZQYewOhjOohj6dIPgRPAMeCPwH0eslfjJlyUpNV+1XiFxaZ8vhH6AX82X85ONdnX5riXy38IUcnw2mpoa/L607vUJ6+U+hDjH77rsWe63FeAVvEKMJYvX87y5csRkQskae3ntV81XqFkF0+HPcEh60j+2/w1X1vjfqKHw83PwUs3wN9WwFdeNRpEvIRefaHRaHzH/jdhzfWcVbGsav8ercE65Tz2ErjxaTj5Gay5DuqK+n6MmwhaWQONZqjizyuZjUVPivlyiHtC32VpSD57rOP5Zvsj/r9R92CZscIQuHv7PvjdPFh4P8y5E+IyPPq0OshrNEGEX6xkVspYA9DeZCwMa2uAhjI4e5Jfh61jgekAmVJDvYripx1f5UXLssDZFGSwTL3BmIz9xw+NjpvPfm2smB610FA2TRwDMam2tT6xxoeCKXRQ63uGyCur0QwN/GEl8/uPXs11IVsdnltiimObdTL/Z7mVD6zzg7c80xuJY+BLL0LtCch/xdCe3/4sWJwIsX31DUPwbICIrzY1EJEq4HS3w8lAtQ/MGSiBZi84tnm0UirFHRcPEr9C4NlstzcRiMPwwWjg34D5SqkH7ANF5H3gF0qpz22//xP4nlKqx4beXVczY6gxHPbkH9GNQPCBL2zs1/+rzzJ5R0aKyE6/3lS4G4FmL3je5mDwKwSezXZ7ReRWYJlS6m7b8dsZ4EpmuHA1s7cJBB8Ego26u0ajCS70CnXNBeggr9EEF3qFuuYC/G3i1SdfCwdBoNkLvrFZv06e51kwVqiLiH2Fegjwgn0ls+38MxgLG5djrGRuBu7wjcl9Egg+8HsbfTbxqtFoNBrPo8s1Go1GE8ToIK/RaDRBjNeDvIhcLSKHReSYiHzfwXkRkSdt5wtEZJa3bXRgU182Xyoi9SKy13bz3TYwhj0viEiliDjUNvXEa6z96nl84Vdf0Jdf/IG+fOFXKKW8dsOYCDoOZAPhQD4wtduY5cA6jF7eBcA2b9o4QJsvBd73pZ3d7FkMzAL2Oznv1tdY+zU4/eqvfvGHW1++8KebtzP5zk3BlVLtnF9y3ZXOJddKqa1Agoike9nOrrhis1+hlNoI1PYyxN2vsfarF/CBX31BQPjFBV/4Dd4O8s42hu7vGG/iqj0LRSRfRNaJSI53TBsw7n6NtV/9A397jQdCMPwNfoW3++Tdtim4F3HFnt0YehJNIrIceBtD4c9fcfdrrP3qH/jbazwQguFv8Cu8nckH4pLrPu1RSjUopZps9z8EwkQk2Xsm9ht3v8bar/6Bv73GAyEY/ga/wttBPhCXXPdps4ikiRiCzyIyD+N1rfG6pa7j7tdY+9U/8LfXeCC48l7S9AOvlmtUAC65dtHmW4B7RcQMtAC3KdsUvC8QkbUYnSHJIlIM/BAIA8+8xtqv3sHbfvUFzvziY7N64MgXSqnnfWuVY7SsgUaj0QQxesWrRqPRBDE6yGs0Gk0Qo4O8RqPRBDE6yGs0Gk0Qo4O8RqPRBDE6yGs0Gk0Qo4O8RqPRBDH/HxsXfZqgOmHgAAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 432x288 with 3 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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odHxdXR39+/cnISGBEydOsHLlyrP2/+tf/2r/e/7557dvf/XVV7FarXz99dccPnyYkSNHnnPuGTNm8OKLLwKwevVqUlNTiY+P54033uDkyZN89tln3H333dTV1XXrfwyYwNfwMMHkZWOQn5/Pc889x3/8x38wfPhw7rrrLi677DLuvvtuamtrMZvN3HPPPRQUFLQvlvTr14/169dz++23M3r0aHJzc5k8ebLXZAw1RISoiDBa2rwXYaP12rd47rnnWLx4MY2NjeTl5fGPf/yjx+e6cNYlvPrPZ7n+mxcytnAU06ZN63T82LFjGT9+PAUFBeTl5bW7Ce20tLQwdepUrFYry5cvb98+cuRIZs6cyYkTJ1i6dCnR0dHnnPs3v/kN3/ve9xgzZgwxMTE899xzVFVVcd999/Hvf/+bgQMHcuedd/L73/8+8p133nH7f/RJgbKzFnFsdLytBzhYUU+YCHlpsV6XSXOGni7QuavX4lONNLSYyc90liyt8RYeW3i14Uy3wYS3QyhdLdQuWrSIq666iuuvv75X57fTXb0GjLsGIDo8LKBi5TWeISrcRJvFisUaHOGJGk0oETDuGjCMQXWjYQzCTN6KsdH4mqgI+3qLpUchshpNMFBUVOR0+7Jly3wqR0cCaiYfFW6I0xpAGZKa3mPXq75L02h8T2AZ+QjvR9hofE9kuAlBaGnTetVofE1AGXnDGECzNgYhhUmEyHATLfoOTaPxOQFl5LUxCF18UZtIo9GcS8CtgkWFaISNq/CqvkJUhIn6FjNKqXOy/4KZvqLX3Pves1UXPdL5QDcpevjKzvcXFXHVVVexa9cut8+5bNkyLr300l5VGI2NjaWhoYGysjLuvvvu9gS5hQsXsnv3br73ve9xxRVXsGDBAkSE1157jaFDh/b4er4goGbyYBiDFrN3qxZ2F8ca6cFAIMobFR6GUorWAPoBD8T3qTOCTV5f48leAVlZWe0Gvry8nC+++IIdO3Zw77338tZbbzFv3jy2bt0a8AYeAtHI242BxXPGwBtlSzdu3Mi1117L8OHDeeCBB9qvdc011zBx4sSgKVt6//33e+Q97gpvRNhovfpfr97EWQlpwKNlpEuOHeWmeZfynSsv5r/+67/atzs2o7n00kupqKhg3LhxPPjgg/z5z3/m6aefZvbs2b55I3qJ7901trKlg9sUfHlu2dIEpYhstRAWYQLXHYvOpouypQAHDx5k+fLl/P3vf2f+/Pm8/vrr3Hjjjdx8881nlS21KxGgpqaGNWvWAPDOO+8QGRnJZ599xqOPPsq8efPYvHkzycnJDB06lHvvvZeUlBSeffZZkpOTaWpqYvLkyVx33XWdVrT7n//5n7PKlu7YsaO9ol18fDxfffUVzz//PPfcc0/7F7+oqIg1a9acVbYUYP369WeVLR0/fjxvvfUWn3zyCTfffDPbtm1j2bJl7WVLV61axZdffsmBAwfce587owu9xqDIa7EQGW6CMK3XoNGrH9m/fz/PPPNMewnpJ598kh/96EfcddddZ5WRvv/++3n22Wd54oknziojfeedd/KrX/0KgJtu/C47/v0as75xBdWcyaj/46/vY/5Nt3L19Qv4fMWLTuV4++23ueqqq9qb6yiliI2N5ac//al33wAPEXAzeXsOlKeTI90tW/rZZ5+1H9NZ2dKCggIyMzOJiooiLy+P4mKjS95jjz3G2LFjmTZtWnvZ0s545ZVXmDBhAuPHj2f37t3s2bOnfZ9j2VLHioruli296aabANdlS5999lkiHSrzeRNBbOWkPatYrVf/6tWbdCwhvXbtWvbv399eRnrcuHH89re/paSkxOnxn376KVOnTmX06NF88u+PKT2wk4GmSpJoaB+zbdOXXD7vOoD29zXU8P1MvouypQIcK6sjvl84OUkx5+zvKZ4uW+p4PpPJhNlsZvXq1Xz88cesX7+emJiYoChb6jHcKEdbXtmAUjAs3XO1ibRevaxXP+Ls/VBKdb+MdEoMv/mv/6S8OZzTKooMOUWN6o+yda4IpUAAZwTcTB6MxVdfxMp7umxpbW0tSUlJxMQET9nSmpqaHv+/3SXaFh7r7UV1rVff6tVbdCwhPX36dEaOHOmyjLSKiGbb4ePsKKlh09cnMFsVx5vDqSg5zKvvfUILkVSoJCLEQjyGf3/cpKmsetto1GF/X0MNdxp5RwOfAVG28a8ppX7dYcwsYAVn4qveUEr1uDlwdLiJmqY2n4TbebJs6eWXX87SpUsZM2YMI0eODOiypWlpabS0tJCXl0dSUlK/uXPnZv2///f/zgpN8LReoyLCsJxuxWxVRIRpvXqzHO2PfvQjfvazn/X4f+5I0cNXbvZ1FcqOJaR/8IMfEBkZyWuvvea0jPS8G77Db3/5Y6Kjo3n+rQ+5buHN3PDNCxg+MJ3CseMAaKAfZmUiXk5Tq/rz8wcf5pd33c5Lz/yNGxfO99n/5lOUUp0+MDwosbbnEcCXwLQOY2YB77o6x7Zt24qUUpscH7t371auqKxvVtuLq1Vrm8XlmFBn8ODBqrKy8pztt9xyi3r11Vd7fX6r1arq6+uVUkpt2bLl9OjRoxs+/vjjvcqmn23bthV5Wq/1Ta1qe3G1qmtq7bX8wYq39erIzp07T6sO+rHprMvvfXd1GwhsL64+51FSclSp0i1qb3FF+7aTJQeVuWSb2tFhbLDQXb126a6xnde+UhFhe3j1fjva1iWqWWe+eg0RITbW8I2bzWbMZrN4+67JXptIl63Q+Ir+NNOqwmnlTEvRBtWPMLESTYsfJfMdbi28ikgYsBkYBvxFKfWlk2Hni8h2oAz4qVJqd8cB5eXlqVVVVWkAVqvrL3p0hPHb09xmJe7cO9Y+gS/KllosFiZOnMiBAwdibrnllvKLL774tJNhHtNrRJiJcJPJq12iAh1P6fXWW2/l3XffJT093WlW6OrVq7nqqqticnJyRgFcddVV1Y888shxABG5HHgUCAOeVkp1HqcaxPSnmQb6nbWtAcOo9JdmmpR3+g4HEm4tvCqlLEqpcUAOMEVECjsM2QIMVkqNBR4H3uqw32q1WiUjI6OqsLBwb2Fh4d7wcNe/L+HaGPiEsLAwtm3bxscff9y4ZcuW/hs3bowGsFqtAljxsF7BtqgeQFmvwcqiRYtYtWpVp2PGjx9v2bdv3559+/bteeSRR45brVaxWCxW4C/AFcAoYKGIOHO0W22fg6AlijYixMJpzp4pmgmjRYXTn9Bo2u7wfXVKt6JrlFI1wGrg8g7b6+wuHaXU+0CEiDgW89hVWVmZ0J0PjTYGviM+Pp7p06fXv/POOwlWq1UqKysTgF3e0Gt0uNHvVQVQ2YpgZMaMGe2x8+5g1+sXX3xRChxSSh1WSrUCLwPznBzSbd0GGjE2d0yjOtcd0EQU/Wj1tUgex/H76mqMO9E1aUCbUqpGRPoB3wD+0GFMBnBCKaVEZArGj8dJ+36z2fz98vLyp8vLywtt+zh58mSnkTM1ja00tlpoO9nP5RhNzzl16hTh4eHEx8dz9OjR8A8//DBl0aJFtTt37kwCdpnN5u97Q68NLWZqGttQNdG6+1cvKS0tpaWlhb17956z7+jRo2zfvj1s6NChY1JSUsw/+clPTp533nlb//SnP70FXOAwtASY2vF4u24PHTp0flNTUzwQ8MXlTlSfnSPRLKepp4kyZW2PibfTKI0kcJoq1YLFNtfdWx8ctqa8vDzcYrHYJ1tWbN9XV+O7bOQtImOA5zD8dybgFaXUQyKyGEAptVRE7gR+AJiBJuDHSqkvOjvvpEmT1KZNm1zu/+eGozzw1i7W3Xcx2YnB8eYHEzt27OCWW27BYrGwc+fOZuD3vtDrl4dP8u2nNrDse5OZNTLdc/9QH6SzSo11dXUkJCRsVUpNEJE5wKNKqeEicgNwmVLq+wAichMwRSl1V1fX60q3/ib3vvfOev1CxO9IkNPMbf2fc8ZeYNrFS5G/47utv2SddTTQdWXMQEFENiulJrk7vsuZvFJqBzDeyfalDs+fAJ5w96LuMGJAHAAHTtRrI+8FxowZw9atWwEQkd3KFv/uK70ePNGgjbwXiY+PB5ufVin1vog8aXO1lQADHYbmYCyqhxiKfNMx/m2Z4HTvbmsuAKPlCOsY7UO5fE9AZrwCjBhghPcdPFHvZ0k0niSpfySpsVEc0Hr1KuXl5e3PO7jaNgLDRWSIiEQCC4C3/SKkF0mjhlSpY58a6HR/LbGUqWSGm5zXvQklAq5piJ3EmEjS4qLYX97Q9WBNUDFiQKw28r1k4cKFrF69mqqqKnJycnjwwQdpa2sDYPHixfZa6AW28NcmYIEyfLNmmxvuAwwX7LPOwmKDnVGmYwDsVYNdjjlkzWaYhOBNTAcC1siDYQwOVmhjEGqMGBDHK5uKsVoVJr342iMcyyE448477+Suu+7a7cx3a4uUet9bsgUCw8SYoe+35rgc87XK4gbTGozcztD9HAasuwZgeHocB080YPV03WGNXxk+IJbGVgulNV1XjNRoesIQKadaxVJNvMsxX6ssYqWZDE75UDLfE9BGfsSAOJratDEINdoXX/VdmsZLDJFyilRGp2O+VkYv2KGm0HbZBLiRNxZftf82tBiRbo+c0ustGu+QayrncBdG/pA1GyDk/fIBbeSHD9DGIBRJiIkgPU5H2Gi8QxStZMtJiqydG/lKEqhTMQyTUh9J5h8C2sgn9ItgQLw2BqHIiAFxWq8ar5ArRvjoEZXZxUjhiMpgsIRGJy1XBLSRBxiZEc/+cm0MQo2RGcaiukUvqms8zBkj3/lMHqBYpZMjld4Wya8EvJHPz4jjUEUDbRZdrCyUOC8jjhazlSNVzqobazQ9J89m5LtaeAU4ZjPyJtdFHIOewDfymfG0WqwcrtTGIJTIzzRC2/aV1/lZEk2okSvlVKhETtN1OZRjKp1IsYR0GGXAG/nzMo3FV20MQoth6bGEmYR9x7UrTuNZcqSSYpXm1lj7uEGmCm+K5FcC3sjnpcYSESbsOa6NfCgRHRHG0LT+7NV61XiYbKmiVKV2PRBjJg8wULSR9xuR4SaGpcfpGV8Icl5GPPv0orrGgwhWsrph5I+rFMzKpI28v8nPiNPumhAkPzOe0pomapva/C2KJkRIp4ZIsbht5M2EU6ZSGKSNvH/Jz4znRF0Lp04Hf7suzRna11u0y0bjIbKlCoASN408GC6bPm3kRSRaRL4Ske0isltEHnQyRkTkMRE5JCI7RMR5pf4eoo2B52lubmbKlCmMHTsWjJK0PtdrfoY9wka7bDSeIcdm5EvdXHgFI1Z+YAjHyrszk28BLlZKjQXGAZeLyLQOY64AhtsedwB/9aSQ59mMgV589RxRUVF88sknbN++HWAPftDrgPgokmIi9OKrxmNktxt592fyx1UKaVIL5hZvieVXujTyysBePCbC9uiYpjgPeN42dgOQKCJd5RS7TVpcFKmxUXrG50FEhNjY2PaX+EGvIsJ5GfHs1XrVeIhsqeSUiqWRaLePOU6y8aQuNAuVueWTF5EwEdkGVAAfKaW+7DAkGyh2eF1i29bxPHeIyCYR2VRZ2b3bo/xMvfjqaSwWC+PGjQMYi9/0Gs+B8npd3kDjEboTPmmnTKUYT+pCs1CZW0ZeKWVRSo3DaPo7RUQKOwxx1lblnG+tUuoppdQkpdSktDT3fWZgpMEfONGAWZc38BhhYWFs27YNYAf+0mum0TPg6Emd0azpPTlS1S1/PBjuGgBqQ7Pfa7eia5RSNcBq4PIOu7zeAT4/M55WXevEW1jwl1714qvGY6jezeT7qpEXkTQRSbQ97wd8A9jXYdjbwM22aIxpQK1S6rgnBbUvvmr/rWeorKykpqbG/lLwk16HD4jFJDpyStN7kqgnRlq6beSbieKUiu3T7ppM4FMR2QFsxPDdvisii0VksW3M+8Bh4BDwd+CHnhZ0aHp/wk2iIzE8xPHjx5k9ezZjxowBGIWf9BodEUZeWix7dEazppf0JLLGznGVArWhaeTDuxqglNoBjHeyfanDcwUs8axoZxMVHsaw9Fht5D3EmDFj2Lp1KwAislsp9RD4Xq9guOK2HK329mVCiltvvZV3332X9PR0du3adc7+F198EWCUbXLWAPxAKbUdQESKgHoMN51ZKTXJZ4J7kUwxKkkeV8ndPrZMpVDQh2fyAcOozHj2lGkjH2qMspc3aNTlDdxl0aJFrFq1yuX+IUOGAOxXSo0B/ht4qsOQ2UqpcaFi4AEGiDFRKO+BkTdm8n3UJx9IFGQnUFHfQkVds79F0XiQwmxjvWV3Wa2fJQkeZsyYQXKya2N2wQUXgDFTB9iAsWge0qRLNRYlnCS+28ceVynQXAOtoRfYEVRGvjDLbgz0bD6UKMhKAGCXNvLe4jZgpcNrBXwoIptF5I7ODuxNDoSvGUANVSRgIazbx5a2R9iEnssmqIx8QbbNGJRqYxBKJPePJDuxH7tK9Y+3pxGR2RhG/hcOmy9USk3AKFuxRERmuDq+NzkQviZdqjmhknp0bHusfF3ouWyCysjHRoWTl9pfz/hCkIKseK1Xz9MPeBqYp5Q6ad+olCqz/a0A3gSm+Ec8zzJAanpu5NEz+YChIDtBz/hCkMLsBI5UnaahxexvUUKCY8eOAQwFblJKHbBvF5H+IhJnfw5cCpwbnhOEpEs1FT008uUqCZCQjJXvMoQy0CjMiued7WVUn24lqX+kv8XReIjC7HiUgr3H65ic2/3oiL7GwoULWb16NVVVVeTk5PDggw/S1mZEJy1evJiHHnoIjO/3kyICZ0IlBwBv2raFAy8ppVyH6QQL5lZSpa7HM3kz4dA/Deo9musXEASfkbf55XeX1TF9ePeTHjSBSWHWmfUWbeS7Zvny5Z3uf/rpp3nmmWe2dQyRVEodxihIF1o0nADgBD0z8gDEZUB9uYcEChyCz11ji7DR/tvQIj0+mrS4KO2K0/QMm3E+oRJ7fo64zJCcyQedkU+MiSQnqZ+OsAlBCrPiday8pmfYjHNlD901gDGTr9NGPiAozErQsfIhSGF2AgcrGmhus3Q9WKNxpH0m3xsjnwmnK8ESWpnXwWnks+M5UnWauubQUkZfpyArAYtV6fpEmu5TfxyzMnGSuJ6fIy4DUNAQWk29g9LI25OidB2b0GJ0jj3zVetV003qy6kgEdUbkxaf1X6uUCIojbxjJIYmdMhKiCYpJoLdWq+a7tJQ3uMY+XbiMoy/Ibb4GpRGPi0uigHxUdovH2KICIXZCTpyStN96st7548HwycPfc/Ii8hAEflURPaKyG4R+ZGTMbNEpFZEttkev/KOuGcYnZ3AjpIab18mZCkuLmb27Nnk5+cDFASKXguyEthfXk+LWS++arpB/fHeG/mYVJCwkDPy7iRDmYGfKKW22NKhN4vIR0qpPR3Gfa6UusrzIjpnTE4i/95XQV1zG/HREb66bMgQHh7O//7v/zJhwgREZC9GoSq/63VsTgJtFsXe4/WMG5joq8tqgpm2ZmjqeXGydkymkEyI6nImr5Q6rpTaYnteD+wFsr0tWFeMHZiIUrCrRN/a94TMzEwmTJhgf2klgPQKsL24xq9yaIKIBsMoV5DY+3PFZYTcTL5bPnkRycVoBfilk93ni8h2EVkpIgUujvdYbeqxtkiMbdpl4wkiCRC9ZiZEkx4XpY28xn08ESNvJy6z783k7YhILPA6cI9SquOK5xZgsFJqLPA48Jazc3iyNnViTCRDUvtrY9BLGhoawKhWGBB6FRHGDkzUP94a97HNvD1j5PvoTF5EIjAM/ItKqTc67ldK1SmlGmzP3wciRMTr1cPG5iSwvbjWLgQc+BA+fhB2vAIWXbK2K9ra2rjuuusATgWSXscNTORw5Wlqm2zJbsUb4ZPfwsanQ7I9m6aX2GbeFb2pW2MnLhOaqg0/f4jgTnSNAM8Ae5VS/+diTIZtHCIyxXbek87GepKxAxMpr2umvPo0vPUDeOkGWPt/8Mbt8Pw8aKn3tghBi1KK2267zR5dc8LZGL/pNScRgJ0ltfDZI/DMN+CzP8F7P4GlF0FNsbdF0AQT9cfBFEF1b7Jd7YRgGKU7M/kLgZuAix1C6eaIyGIRWWwbcz2wS0S2A48BC5RSyksyt2NfpGv48H9g+3KY8XN4oBLmPQnH1sOKO40ZvuYc1q1bxwsvvMAnn3wCMCqQ9GrPfG3Y8gp88t8w+gb4ZSncvAJOV8HL3wFzi7fF0AQL9Sdsxll6f672hKjQ8ct3GUKplFpLF++eUuoJ4AlPCeUuozLjGRVWzJB9S2HMt+Hi+40d479rrLj/+yE4sApGXuFr0QKe6dOnY7fXIrKnY91x8J9eE/pFMC7VwoX7H4asCXDNUggLh7xZ8K2/GkZ+w5Mw/V5fi6YJROqPG8bZ6f1oN+mjM/mAJToijAf6v0Uz0XD5w2fvvOBuSB0BHz4AVp1YE2wsifqQ/tY61NzHDANv57wrYeQcw41z2uueI00wUF9+ZgbeW0JwJh/URp4Tu7mgdT3PW6/AGt1hZT0sAmbfDycPwf73/SOfpmc0VTOz5g1WWiZzPHrYufsv+RW0NsDmZ30vmybwqC8/MwPvLf2SICxKz+QDhq+ewhzWj6Utl3K4quHc/eddBYmDYP1ffC+bpudsf5lIy2meNF/jPEQ2PR+GXgJf/V375vs6raehpdZzM3mRkAujDF4j39oIO1+ncdhV1BLLtmInma9h4TDlDmMRtmKf72XUdB+lYMsLWLMmcNCU5zpeftoPjb6eB4K/B7WmF9jdKp6aydvPpd01AcDet6G1nthpi4iNCnedFDV6PogJdr7iU/E0PeT4NqjYjWn8d8nPinet16GzIXaAkROh6bu0G3kPzeTt59JGPgDYvhyShmDKvZAxOQlsc2UM4gbA0Ithx6tgtfpURE0P2P4vwydaeD3jchLYUVKLxeokatMUZoRWHvgAGk/5Xk4/c+utt5Kenk5hYaHT/bbIqYEickhEdohIe6EiEblcRPbb9t3nI5G9g92t4tGZvDby/qepBorWwqh5IML4QYnsOV5HY6uLLNfRN0DtMSjb4lMxNd1EKdj3nvGj3C+R8YOSaGy1sK/cRd+A0deDtc04po+xaNEiVq1y7apauXIlQDQwHLgD+CuAiIQBfwGuAEYBC0VklLfl9RrtM/kBnjtnXAa01kOLk3W+ICQ4jfzBj8BqNhZWgUmDk7FY1ZkSBx0ZfqlRJ3r/Sh8Kqek25TuNH+Pz5gAwcbARMbXlaLXz8ZnjID67T/rlZ8yYQXJyssv9K1asADipDDYAiSKSCUwBDimlDiulWoGXgXm+kNkr1B+H8GiITvTcOe13BQ2eCLz3P8Fp5Pe9a/hjsycCMH5QIgCbj7q4bY9JhsEXaCMf6Ox7DxAYYSSv5ST1Iz0uik2ujLyIkej29SfQ1uQ7OYOA0tJSgFaHTSUYpaSzgWIn253iyQqjXqHhhDHzFg9ku9oJsTaAwWfkzS1w6GPjy20yxE+MiWR4eqxrYwDG+IrdUF3kGzk13Wf/ezBoGsQalSxFhEm5SWwq6kKvbY1w5DMfCRkcuKg+oXCeve6yVIUnK4x6BU/GyNuJDa2EqOAz8sc2GIkwIy4/a/Ok3CS2HK3G6myRDs6MP/iRlwXU9Ij6csNdM+KyszZPHJxMaU0T5bUuqgLmXgQR/Y0FWE07OTk5YPQJaN8ElGHM3Ac62R6c2EsaeJIQy3oNPiN/ZI3hX8+dftbmiYOTqWs2c6jSxWJJylAjMerwau/LqOk+9pl43uyzNk+y+eU3u7pLC4+C3AuNz4Wmnblz5wKkiME0oFYpdRzYCAwXkSEiEgksAN72o6i9wxsz+egECO8XMu4ad3q8BhaH10DOJIg6u6yofZFuU1E1Iwa4KDk6ZKYRX2+1GCF4msDh8BojpTxjzFmbR2XFEx1hYtPRU1w5xsWXechMOPgh1JZAQo4PhPU/CxcuZPXq1VRVVZGTk8ODDz5IW5tRf3/x4sXMmTMHoAU4BDQC3wNQSplF5E7gAyAMeFYptdsv/0Rvaak37uo9PZNvz3oNjZl8cBn5phojDPKin56zKzclhpT+kWw+Ws13pg5yfnzeLNj6gpFwY1u01QQAShl3WLkXta+z2IkIMzE2J9F1hA0YegXjh2L8d70mZiCxfPnyTvfb2gAcc1Fd9H0g+As6eSPb1U5cho6u8QtH14GyQt7Mc3aJCBMHJ7mOsAFjxgeGMdAEDqcOQ12JU72Csd6yu6yOplYX1UTTR0FMqnbZ9DXaE6E8PJO3nzNE3DXBZeQPrzF8ZTmTne6eODiJopONVNa7KFoVmwYDCrVfPtCw62PILKe7Jw5OwmxVrrOaTSbjB+LwGt0kpi/h1Zl86NSvcaf930AR+VRE9orIbhH5kZMxIiKPOUuh9ihFa40Qu/Aop7sn5dqSZ451cms/+EIo2QSWNm9IGDQUFxcze/Zse/u/Ar/rNS7LWBx3woRBbuq1oRyqj3hDQk0g4u2ZfGtDSLQQdWcmbwZ+opTKB6YBS5ykQV+BkT59Vgq1R2mqgYo9MOh8l0MKsxOIDDO5jsQA40ei7bQRrteHCQ8P53//93/Zu3cvwF78pVeA4i8NvbhIaGnPgyjqxBVn/1wc2+AFATUBSX25ET4b5YHerh1pj5UPfr98l0ZeKXVcKbXF9rwewyB0zJCbBzzvJIXac5RsAhQMmupySFR4GGNyEtjYqTGYZvwt/tKj4gUbmZmZTJjQPjG34i+91hRDXekZvbhgUm4Sm49WOy9WBpB2nhH6po1838GTHaE6EkJZr93yyYtILjAe6Ggh3UqV7lWKdPEGo2Rw9jnBAmcxNS+ZnSW1nG5xUawsPsuIlz+2vnvXD20i8ZtebZcc6PrHG2DqkBTqms2ui5WZTMY5tJHvO3gjRt5Oe6/X4PfLu23kRSQWeB24RynV8ZvmVqp0r1Kkj20wFk2jYjsdNnVICmar6txlM3CacT69SEdDQwPAUPyl1+IvjVvuAc5L5tqZmmcU49pwuJO7tIFToWp/nyw93CfxRrarHft5G/qIkReRCAwD/6JS6g0nQ7ybKm1pg9LNXd7SgxGJEW4SNhzupMnzoGlGDGwfr2PT1tbGddddB3DKL3oF48c2Z+LZzbqdkJnQj8EpMV3o1eaX7+OuuD6BUt5110TFQURM35jJi5FV8QywVyn1fy6GvQ3c7CSF2jOc2GUUoerilh6gf1Q4o3MS+PKIG375Pnxrr5Titttus0fXuFpd8q5eW+oN3Q7s+scbYNqQFL46csp1faLsCWCK6NN67TM014K5yXvumhDq9erOTP5C4CbgYhHZZnvMEZHFIrLYNuZ94DBGCvXfgR96VMpjtpmZGzN5gGl5KWwvrnHdRCQtH6ISDD9/H2XdunW88MILfPLJJwCj/KLX0s1Gclsni+mOTM1LprapjX3lLsLaIvpB5lg9k+8LeKPtX0dCJFa+y7IGSqm1OPfNOo5RwBJPCXUOxRsgPsftuiRThyTz19Vfs+VoDdOHp547wGQyZn2lfbdT1PTp09vL0YrIHhfp797V67EvAXGZ3NaRqXkpAHx55CSjsuKdD8qZDFueA4u5SxeQJojxRtu/jsRlQNk2753fRwRHxmvpZsNv6yaTcpMJ68ovnz0RTuzWzSb8SelmSBtphD66QXZiPwYld+GXz55ouPYq93lISE1A4ouZfKytSFmQB2gEvpE/XQU1xyDL/WTL2KhwCrMTujAGE0BZ4PgODwip6TZKGcXmuqFXMO7SvuzKLw/GD4gmdPFmtquduAwjcTLIs14D38jbb5eyu2cMpuUls72kxnVRK3sVSm0M/ENdKZyu7IFeU6hpbONAhYsvXnKecWeg9Rra1Jcb62qR/b13jRCJlQ8CI2/zm2eO7dZh0/JSaLMo1/VO4jKMJtDaGPgH+3pI1vhuHdYeL/+1i7s0EeMHvA+vt/QJ6o9D3ADvXiNEYuUD38iXboGU4W77be1MGpyESejaZVOmjYFfKNsCpvAuk6A6kpMUQ05Sv86TorInGnWOWht7KaQmYPFmtqudEGkDGPhGvmxrt2/pAeKiIxiTk8i6Q1WuB2VPNGqZ6wxJ31O2FQYUQER0tw+9YGgK6w+fdF3HJnuisd5SrtdbQpb64z408sEdKx/YRr6uzLhV6uYtvZ2LhqeyrbiG2iYXZYXti356Nu9blDKMfA/1On14GrVNbewsrXU+IEsvvoY0Vqsxu473spGPioPI2KCvRBnYgcTtftuelTGfPiyVxz85xPqvT3J5oZNV+KxxgBjXGfaNHoup6SanDhsZiz3U64VDjXj5tQcrGTcw8dwBcQOMvApt5EOTxpNgbfP4TD73vvfO2fZJZCy7123mrtXvUfTwlR69nq8I7Jl82VaQMMgY3aPDxw9KIiYyjLWHXFRGjE6A1BF6kc7XlG01/vbADQeQEhtFQVY8nx/szBXXt5PdQhpfhE/aqCCJdKnx+nW8SYAb+S2Qng+RMT06PDLcxLS8FNZ2agwm2tLrgzvhIago3QLh0UYN+B4yfXgqW45Vuy4pnT3R6BKl11tCj/ZEqCyvX+qESmIAnVS0DQIC18j30m9rZ/qwVIpONlJ8ykWkRfYEOF0BtSW9uo6mG5RtgYwxEBbR41NcNCyNNoviK1eF6NqTokJ3Nr9q1SpGjhzJsGHDePjhh50NGeBQb2qXiFhEJBlARIpEZKdt3ybfSt5L6m2FUH0wkz+h7DP54J0EBq6Rry6Cpuoe39LbmTHCqF2z1lWUjV589S1WCxzf3mu9TspNIirc5NplkzkOkJDVq8ViYcmSJaxcuZI9e/awfPly9uzZ03HYCaXUOKXUOOCXwBqllOOv4mzb/s478QQavihpYKNCJRIjLcQRvOVPAtfIl/UsWaYjQ9NiyYiP5vODLvzyGYVGeVq7n1jjXSr3G7VleqnX6IgwpgxJdq3X6HhIHR6yev3qq68YNmwYeXl5REZGsmDBAlasWNHZIQuB5T4Sz7vUlUH/tF7dCbpLhTKayKdL8LpsAtfIl26BsEhIL+jVaUSE6cNTWXfIRVx1eBQMGBXSt/UBRVnvIqYcmT4slYMVDZTXNjsfkDU+ZPVaWlrKwIFn+rnk5ORQWlrqdKyIxACXYzT+saOAD0Vks4jc4eo6vWrt6C18kQhl44TNyA/QRt4LlG0zomrCI3t9qouGp1Lb1MauzuKqy7YZ8bca71K2FSLjIGVYr09lLyPdqSuuodyY+YUYykmggNHfxylXA+s6uGouVEpNAK4AlojIDBfX6XlrR29RX+Y7I08iAOnU+OR63iAwjbzVAse39fqW3s6Fwwxj8NkBFzOR7AnQUmtEY2i8S+kWIz/B1PuPXn5GPKmxkZ3rFULSZZOTk0Nx8Zke6yUlJWRluYw2WUAHV41Sqsz2twJ4E5jiHUm9gDfb/nWgoi/M5EXkWRGpEJFdLvbPEpFah1X8X/VaqqqD0NrgkVt6gNTYKMbkJPDp/grnA+w/JiF6a++MW2+9lfT0dAoLndeO8Ypeza1Guz8P/XibTMKMEWl8drASs8XJXdiAQiPPIgT1OnnyZA4ePMiRI0dobW3l5ZdfZu7cueeME5EEYCawwmFbfxGJsz8HLgWcfr8DDkubUb003vvhkwCNRFOv+oW2kQeWYfjzOuNz+yq+UuqhXkvVy2QZZ8wemc7W4hpONrScuzMt34jbDsEZnysWLVrEqlWruhrmWb1W7AZLq0f1evF56dQ0trG1uObcnZExkD4qJPUaHh7OE088wWWXXUZ+fj7z58+noKCApUuXsnTpUseh3wI+VEqddtg2AFgrItuBr4D3lFJdfhgCAh9G1tipUIlBnRDlTvu/z0Qk1weynKFsK0T0N7JRPcQl+ek8+u+DrDlQybUTOrQRDAs34rZDNNzOGTNmzKCoqMi3F7UbWw/N5AEuGp5GuEn4ZF8Fk3OTzx2QNQ72vWvkXbj2WQclc+bMYc6cOWdtW7x48VmvlVLLMCZqjtsOA92r3R0o+DARyo4RKx/aM3l3OF9EtovIShFxGQ7j9kp92VbIHAOmMA+JB4VZCaTGRvHJPhcum+wJRvy2xUUGZd/E83rtlwSJgz0mYEK/CCblJvFpZ3ptqjbyLjTBjw8ToexUkBjUWa+eMPJbgMFKqbHA48Bbrga6tVJvMRslYj042wPDfzt7ZBqfHXDhv82aYMRvVx3w6HWDGM/qFc5kMHt4Rn3JeQPYV15PaY2ThJWs0F187ZO0z+R9E10DttIGUh20pU96beSVUnVKqQbb8/eBCBFJ7fEJK/eBudnjRh4M/21ds5nNR538Ktuv14dcNp3hcb22NUHFXq/odfZ56QDO79LSRxn5FlqvQU/ufe/x13c+p1WFMeS3G8i9772zHt6iQiURLW1G5dQgpNdGXkQyxBagKyJTbOfspB1TF3jBb2tn+vBUIsLEuTFIGQZR8SEZidETPK7XE7vBavaKXoem9WdQcoxzl014pJFvUapn8qFAulRTQRLKh9Hf9oSoYO0Q5U4I5XJgPTBSREpE5DYRWSwi9hWe64FdtpX6x4AFylmmhrsc32YkyyQP7fEpXBEXHcGUIcnOjbzJZPSR7SO39QsXLuT8889n//79AGO8rlcv/niLCBefl866Q1XOG7dnTTA+VzrZLegZQPUZo+sjKlSi8SRIO0S5E12zsIv9TwBPeEyisq0eS5ZxxuyR6fz2vb0cO9nIoJQOJYyzxsOXS414bg9k2gYyy5efyY0RkR1KqWcc93tFr/3TjObpXuDi89JZ9kURX3xdxSX5HRo8Z42HjX+HkwchbaRXrq/xDRlSzQGV0/VAD3IC249KQ3B2iAqsjFdzK5TvsnVs8g6XjjJW5T/c4+TWK3uCEcddsdtr1++zlG3zyqKrnWl5KcRFhfPBbhd6hT5zlxbKpIsfZ/JBWh4jsIx85V6wtHjllt7OoJQYRmXGs2qXE2PQBzNffUJro6FbL+o1MtzEJfnpfLTnxLnRU6kjjLwLrdegJpZG4qWJ48pJPoQXaSKaGtVfG3mPYJ9pZY7z6mUuL8xg87FqKuo6VC9MHAz9knUkhqcp3wnK6nW9XlaQQXVjG18VdWgkYgqzrbdovQYzmWLo9bhK8fm1j6uUoG0sFGBGfhtEJUBynlcvc3lhBkrBh3s6+NhEjFv7sm1evX6fw4uLro7MHJlGVLiJD5zdpWVPMH5sLG1elUHjPbLFqDZa5gcjX6pSoE4b+d5jX3T1cvr58PRY8lL7O/ffZo034rlbXbQL1HSfsq0QmwHx3k1giYkMZ+aIND7YfQJrx94BWeON/IuKvV6VQeM9MsWI4C1TPU/X6Cl6Ju8JzC1GLLWXZ3tghNxdVpjB+q9PUtPYevbOrAmgLEbWrcYzeKBXr7tcXphBeV0z20tqzt6hk92Cnkw5iUUJFbYa776kTKUa5TFaT3c9OMAIHCN/YjdY23xnDAoyMFsV/97bIWa+3RjoSAyP0FJvlIrwkV4vOW8A4Sbhg90dXHHJeRCdoPUaxGTLSU6QhAXP1bRylzL7Ym+t8+5bgUzgGHkf+W3tjMlJIDMhmpUd/bfxmUZdDB2J4RnKdwLKZ3pNiIng/KEprNp1/OzuSSIh3Q6wL5DJSb+4asBhsTcI/fKBZeT7JUPiIJ9cTkS4ojCTzw5WUtvUYTEua4Ke8XmK9h/vcT675JzRmRSdbGR3Wd3ZO7ImQMUeaHPRE1YT0GTKSZ+HT9opw/bjomfyvcDe7s+HNb/njsui1Ww9dwE2a7yRHRmkBYkCirKtEJ8Dsek+u+TlBRlEhAlvb+8Q15w13qifcyI4miBpHFCKLDnll8gagHKVBEhQLr4GhpFvr1A4zqeXHZuTwOCUGN7e1sEYZNv98tt8Kk9IYo+Y8iFJ/SOZOSKNd7aXnR1lY8981S6b4ON0FVHS5jd3jZlwo4a9dtf0kNbTMGYBDJnp08uKCHPHZvHF11VU1Dvcwusa5J7BaoW82XDelT6/9Nxx2RyvbWajY2JUfDb0T9d6DUZsxtVf7hrA+PzomXwP6Z8K1/wF8nxr5AHmjcvCquC9HQ4V5mKSjexXHW7XO0wmuPIRGPcdn1/6G/np9IsIY4Wjy8a++Kr1GnzYfOH+ctcAkJCjffLByLD0OPIz41lxjstmgq5BHsTERIZzacEA3t95nFazQy2b7AlQud8I7dQED7YZtL/cNYDNyJcEXYeoPm/kwZjNbyuu4ehJh0SHrAlQewxOV/lPME2vmDcui5rGNj4/6NB3NmsCoOC4TnYLKupKaFYRnCLOfzIk5IC5yUiKCiLcaRryrIhUiIjTkAQxeExEDonIDhGZ4HkxvcvVY43O72fN5kM8KerWW28lPT2dwsJCp/tDQa8XDU8jKSaCt5zqNfhdNqtWrWLkyJEMGzaMhx9+2NmQOBGpFZFttsev7DtE5HIR2W/T732+k7qH1Jba/PG+i747B3svhNpi/8nQA9yZyS8DLu9k/xXAcNvjDuCvvRfLt2Qn9mNaXjKvbS45E42RORaQkI3EWLRoEatWrepsSNDrNSLMxNVjs/hgdzm1jbZciNg0SBgY9Hq1WCwsWbKElStXsmfPHpYvX86ePXucDf1cKTXO9ngIQETCgL9g6HgUsFBERvlO+h5QW+xfVw0YM3kIOr98l0ZeKfUZcKqTIfOA55XBBiBRRHzXSt1DfHvyQI6dauTLI7Z/NToeUoeH7Ex+xowZJCd3GqkQEnqdP2kgrWYrb293+GJmjQt6vX711VcMGzaMvLw8IiMjWbBgAStWrHD38CnAIaXUYaVUK/Ayhr4Dl+qjFKs0/8rQbuRDbybfFdmA439dYtt2DiJyh4hsEpFNlZWVzob4jSsKM4mLDueVTQ7/StYE47Y+yBZaPERI6LUwO4FRmfH8q6Neq49AY2dzl8CmtLSUgQMHtr/OycmhtNTpDPN8EdkuIitFpMC2Lbh029oIpysoVr5LqHNK/zQI7wc1x/wrRzfxhJF35iRzahWVUk8ppSYppSalpfn5V7kD0RFhzB2bxfs7j1PXbLu1z55g9HWsC67bMw8REnoF4y5tV2kdu8tsGczt7QCD12XjrKe6nJstfhoYrJQaCzwOvGUf6uyULq7jf93ajKrfZ/IiRtmV6iL/ytFNPGHkS4CBDq9zgKDsk/XtyQNpMVvPZMAOnGr8PbbBf0L5j5DR67xxWUSGm3h1ky2RJXsiSBgc+9K/gvWCnJwciovPTMZLSkrIysrqOMyqlGoAUEq9D0SISCrBptuaowCU+NvIAyTlQvVRf0vRLTxh5N8GbrZFY0wDapVSx7s6KBAZnZ3AeRlxZ1w2AwohMravGvmQ0WtiTCSXFWTw5tZSmtssEBUHGaPh2Hp/i9ZjJk+ezMGDBzly5Aitra28/PLLzJ07t+OwcLFN70VkCsb3/SSwERguIkNEJBJYgKHvwMRmVP3urgHDyNccDSoXrjshlMuB9cBIESkRkdtEZLGILLYNeR84DBwC/g780GvSehkRYf6kgewoqWVPWR2EhUPO5KA2Bq5YuHAh559/Pvv37wcYE8p6BZg/KYfaprYzxegGnQ8lm8Dc2vmBAUp4eDhPPPEEl112Gfn5+cyfP5+CggKWLl3K0qVL7cOSgF0ish14DFhgW0g3A3cCHwB7gVeUUrv98o+4Q3URhPejkgR/S2IY+Za6oIqVD+9qgFJqYRf7FbDEYxL5mWsnZPOHVft4YcNRfn/taMMYrP49NNVAv0R/i+cxli9f3v5cRHYopZ5x3B9qer1waCqDU2L454ajzBuXDYOmwZd/NTqA5Uzyt3g9Ys6cOcyZM+esbYsXL3Z8WamUcvrP2dw373tPOg9ScxSSBkODH2Pk7SQNNv5WHzHKnwQBOuO1A4kxkVwzLpu3tpYasdWDpgEKSjb6WzRNLzCZhJumDWZjUbWxADtomrEjBO/SQo7qo0YtqUAgKdf4G0SLr9rIO+HmCwbT1Gbh1c3FxixPwrQxCAFumDiQfhFhPP/FUaNsbNKQvrreEjwodWYmHwjYf2yCaPFVG3knFGQlMDk3iefXH8UaHmNkv2pjEPQkxERwzfhs3tpWajRwH3S+8eMdRItofY6masMHHigz+ahYI15ez+SDn5vPz+XYqUbWHKg0jEHpZjC3+FssTS+55YLBtJitRgTVoGnQeBJOHvK3WBpX2I1poMzkwfjB0UY++Lm8MIP0uCieXXfEMAbm5qBPhdfAeRnxTB2SzPPrj2LOseVBHF3nX6E0rrHFyAfMTB5ssfJF/pbCbbSRd0FEmIlbLsjl84NV7IseDQgc+czfYmk8wG3Th1BS3cR7ZbEQO0DrNZA5ddj4mzzEv3I4kpRr1JW3mP0tiVtoI98JN04bTGxUOE9+WQOZY+DwGn+LpPEA38gfwLD0WJZ+dgSVN9PQq9Xa9YEa31N1COIyjQS2QCF5CCjLmbuMAEcb+U5I6BfBd6YO4t0dZdRlXgjFXxr9aDVBjckk3DEjj73H69jfbwI0VkGF0zK9Gn9z8hCkDPO3FGeTMtz4GyRrOdrId8Ft04cQbjLxRs0wsLbpUMoQ4Zpx2WTER/N4ka344uHVfpVH44KThyBlqL+lOJtUm5GvOuhfOdxEG/kuGBAfzbfGZ/P/DqSgwiK1MQgRIsNNfP+iIbx3NIzm+Dw4ol1xAUfjKWg6FXgz+Zhk6JcMVQf8LYlbaCPvBv8xM496SwRHYwq1Xz6EWDBlEIkxEayzFkDRuqCtYxOy2N0hgWbkAVJHaHdNKJGXFsu3xufwZs1wo9bJ6ZP+FknjAWKjwlk8cyivnBoGbaehdJO/RdI40m7kh/tXDmekDtPumlDjR5cM53Orren11//2rzAaj3Hz+YPZ3288Fkxw8CN/i6Nx5OQho6RIICVC2UkZDqcrjMKFAY428m4yKCWG/IkzqVQJNO5619/iaDxETGQ4t1w8ho3WkZzWeg0sTh4yYtLDIvwtybmkBk+EjTby3eDOS0awWo1HDv0bLG3+FkfjIb4zdRAbI6bQv+YAKogyGUOeqoOB6Y8HwycPQeGy0Ua+G2Qm9IMRl9PP2sCRzfrWPlSICg9j6PQbANj56at+lkYDGJOoqoOQnu9vSZyTlAumcDgZIkZeRC4Xkf0ickhE7nOyf5aI1IrINtvjV54XNTC49OqFtBDBnjWvOG2mHEysWrWKkSNHAhT2db1eNnM6JaZsmna+S1Orxd/iaE4eMvJS0kf5WxLnhEUYhr5yv78l6RJ32v+FAX8BrgBGAQtFxNk7/7lSapzt8ZCH5QwYEhISqUqdSkH9F6zcGZQtTwGwWCwsWbKElStXAuymj+s1zCSEnXcF4607WfbJDn+Lozlh60Y4IECNPBh3GRV7/S1Fl7gzk58CHFJKHVZKtQIvA/O8K1ZgkzHlWnJNJ3jlvZVGY+gg5KuvvmLYsGHk5eUBKLReyZx6HZFi4esvXud4bZO/xenbVOw1Imvsvu9AZMBoo4BagJc6ccfIZwPFDq9LbNs6cr6IbBeRlSJS4OxEInKHiGwSkU2VlZU9EDcwCCu4BiVhTD39KU9+Gvir684oLS1l4MCBjpv6vF4ZOA1z/0yu4AseekfXsvErFXuMRdfwKH9L0k7ufe+d9bjjwyZAcc2vn27fFoi4Y+Sddc/t6IzeAgxWSo0FHgfecnYipdRTSqlJSqlJaWlp3RI0oOifggydzbf7beTJ1YfYV17nb4m6jYv1hL6tV5OJ8DHXMStsO+t2HWLVrnJ/S9R3qdgT2K4aYI8y4vfzTYFdjdIdI18COE75coAyxwFKqTqlVIPt+ftAhIikekzKQKTwepLbypkefYT7Xt+JxRpci7A5OTkUFxeftQmtVyi8jjBl5nvJu/jVil3UNgVuqKx94XzYsGE8/PDDzoYki8gO2+MLERlr3yEiRSKy07agHlipvi0NRlOOdKc3jgFDqUqlXvXjPDnmb1E6xR0jvxEYLiJDRCQSWAC87ThARDJERGzPp9jOG9q5/+ddCWFR/GrwbrYV1/DcF0X+lqhbTJ48mYMHD3LkyBEw7ta0XgGyxkPSEL6fuImqhhYeXrnP3xI5xXHhfM+ePSxfvpw9e85xMbUAM5VSY4D/Bp7qsH+2bUF9ki9kdptK23seqOGTNhQm9qmB5JuC3MgrpczAncAHwF7gFaXUbhFZLCKLbcOuB3aJyHbgMWCBCvb4wq6Ijof8qxhy/D0uG5HAH1bt4+CJen9L5Tbh4eE88cQTXHbZZQAFaL0aiMC47xBX9gU/mxzJ8q+O8cm+E/6W6hwcF84jIyNZsGABK1as6DjstFKq2vZ8A8bdWuBjb7OZObbzcQHAPusg20w+cL8WbsXJK6XeV0qNUEoNVUr9j23bUqXUUtvzJ5RSBUqpsUqpaUqpL7wpdMAwcRHSXMufCo4QFx3OXcu3BlW0zZw5czhw4ADALq1XB8bfCBLG7bFryc+M56ev7qCirtnfUp1Fx4XznJwcSktLOzvkNmClw2sFfCgim0XkDlcH+WVRvWwrxKRCQuD/Ju1Vg4mXJgZKhb9FcYnOeO0NuRdB8lDid/2TP10/ln3l9fxhVWDe3mu6QXwWjLic8O0v8vj8UTS2mvnJq9uxBtC6i7MbKptnzdn22RhG/hcOmy9USk3AyH9ZIiIzXFzHZ4vq9giVfVs+45P6HHJ/+f5Z0SyByHZrHgDj5Gs/S+IabeR7gwhMXATFG5idVMn3LszlH+uKeD+Ik6Q0NiYugtOVDDu5hl9dVcDnB6t4IoDCZTsunJeUlJCVlXXOOBEZAzwNzFNKta+nKKXKbH8rgDcx8mH8Tj+aGS4l7FR5/hbFLfargTSpSMaZtJEPXcbfCBExsO4x7rviPCYMSuQnr2xn7/HgC6vUODDsEkgeCuseZeHkHK4dn83/fXSAD3cHRlil48J5a2srL7/8MnPnzu04LBJ4A7hJKdXexkhE+otInP05cCmwy1eyd0aBFBEmqn2GHOiYCWenGsJ4U+DWsNFGvrfEJBuzvp2vEtVQytIbJxLfL5zbn9/EqdO601DQYgqDC++G49uQI2v43bWjGZOTwL3/2hYQC+yOC+f5+fnMnz+fgoICli5dytKlS+3DMoEU4MkOoZIDgLW2BfWvgPeUUqt8/1+cy1jTYQB2Wof4WRL32WodRoEUEUlghttqI+8Jzl8CYoIvHic9Ppq/3TSJivoWbntuI42tZn9Lp+kpYxdCbAas/T+iI8L4200T6RcZzqJ/bKS81v8LsfaF86+//pr7778fgMWLF7N4sT04iqNKqSSH2kOTAGwlSsbaHgX2RfdAYJJpPyUqlUqS/C2K22y1DidKzORLYCZFaSPvCRJyYOy3YfMyqC5i3MBEHlswnu3FNfzgn1tos1j9LaGmJ4RHwQV3wpHP4PBqMhP6sex7k6ltauPmZ7+kplHfqXkWxRTTPr60BnZ8fEe2Wo2a9+NNgbNm44g28p5i1n8aBZU+fhCAywsz+N23RrPmQCX3/mubNvTByuTbIWEQfPAAWC0UZifw1M0TKapq5HvLNlLXHJi36MHIMCklRerZEGRG/gTJlKhUppgCM7JOG3lPkZBt+HB3vwHHvgRgwZRB/Oec83h3x3HufGkLLebgiaHX2IiIhm/+Bk7shG0vAnDB0FQe/854dpXW8t2/f0m1XnvxCFNtRvIr63l+lqT7rLeM4nzTHrAG3mROG3lPcsHdEJ8N79wNbYbP9o4ZQ/nN1aP4YPcJbn9+Mw0t2kcfdBRcCwOnwYf/BfVGdM1lBRk8ddMk9p+oZ8FTGwLCRx/sTDHto1wlcVQN8Lco3WadtZAkaYDywOtFoI28J4mKhasfM2pvrP5d++ZFFw7hj9eNYd2hKq7/6xcUn2r0o5CabiMC854AczO88yOwJSLNPi+dZYsmU1LdyNwn1rKtuMa/cgYzVgvTTTtZbx2F88K3gc06q62Y2pE1/hXECdrIe5rh34AJt8C6R2Hf++2b508eyLLvTaa0pol5f1nHukNVfhRS021Sh8Mlv4YDqwzd2rhgWCpv/PBCoiJMzP/bel7dVBz0bSH9QukWUqSeTy3j/S1Jj6gkiQPWbPj6U3+Lcg7ayHuDK/5gVDN84w4oP5NjctHwNN5aciFJMRHc+MyX/P79vbSaA8+Hp3HBtB9Awbfg49/A/jNh5SMz4lixZDoTBiXys9d2cNfyrdQ26gXZbnHwAyxKWGMd429Jeswa61g4ug6aAysRUht5bxDRD779T4iKg+fnQcWZVfehabG8c9d0Fk4ZxN8+O8zVj6/lqyOn/Cisxm1EYN5fjOqIr9wMh/7dviu5fyQvfn8aP7tsJKt2lXPZnz/jvR3H9azeXQ58wGY1glpi/S1Jj/nAMgksrXDwQ3+LchbayHuLhBy45R0jc/Ifl8Ph1e27YiLD+d23RvP0zZNoaDEz/2/rufdf2yip1r76gCeyP9z0ptF7dPkC2PrP9l1hJmHJ7GG88cMLSImNZMlLW7jxmS/ZXVbrR4GDgOqjUL6DT4LUVWNnixoB/dNh37v+FuUstJH3JqnD4NZVEDsAXrgWPv09mFvad39j1AA+/vFM7rp4GO/tOM6sP63mvtd3UFQV2I2B+zwxyXDL2zDofFixBFbcCU017bvH5CTy9p3T+e95BewsqeXKx9Zy+/Ob2K4XZp2z6zUA3rVO87MgvcOKCc6bAwc+hLbAaQSvjby3Sc6D2z6CwmthzcOwdDrsfA2sRsx8v8gwfnLpSNb8fBY3ThvMG1tLmfXIar779Abe2V5GU6uOrQ9IYpLhxjfgwnuM+Pm/TIENS9u/3GEm4abzc/n8Fxfz42+O4Ksjp5j3l3Vc9fjnvPjlUZ0t68jO12DgVEpUur8l6T2F10PbadjzdtdjfYRbRl5ELheR/SJySETuc7JfROQx2/4dIjLB86IGMdHxcN3T8J1XjRo3r98Gj441FvBKN4PFTGZCP34zt4C1P5/NT745gqKqRu5avpVxD33I95/byEtfHuPgiXqP1jS39wgFCrVee0BYOHzzQbj9E6Ni5apfwP+Ngnd/DEc+h7ZmEvpFcPclw1n7i9k8NK8As0Vx/5u7mPjbj1nw1Hqe/vwwO0pq+m5GdOkWo2n36Bv8LYlnyJ1uTOy2POdvSdqRrhaGRCQMOAB8E6Op90ZgoVJqj8OYOcBdwBxgKvCoUmpqZ+edNGmS2rQpsPoH+wSr1fDZbXnOCLdSFoiMg5yJkDrSCNWLz8Yak8rWk2F8dKSVD/bXcqTWDAjx0eGMzkkgLzWWvLT+DE6JITU2itTYKFJiI4kKD3NLDIvFwogRI/joo48YOnToFiAcrdfeUbQWNj4D+1eCuQnCoiB7AqSNNHz4iYNQMSkcqI/mw6I2PjhQy66KVkCIjjBRmJXAsHS7XvuTFhdFmk23/SLd06sjIrLZk/1bvaLbNxfD3nfgx3vJ/c3nnj23Hyh6+Er4/P/g3w/CnZuM77OH6a5ew90YMwU4pJQ6bLvAy8A8wLFr8DzgeVv/zw0ikigimUop3T2jIyYTjJprPBoqjeSJo+uMGc22F6G1wRgGTLQ97gNUtGAxRdEqETSXhtNWDBYEZXtYlFCOoMQEiBEJIsJZiSUCraYYRjyw8aweoRit4LRee0vudOPRUm8UNTv6BZRshD0roMlotSrASNvjLoBosJgiaZUomivDaTshWBRY7bpVQoVNnwqTS70K0P+OlaRmDPL1f91zGipg1+tGXkl0vL+l8RzjvgurH4YvHoe5j/lbGreMfDZQ7PC6BGNW19WYbOAsY2DrJXkHwKBBQfRh9BaxaTD6euMBRiZlfTnUl8Hpk9BYZRgHczPS1ky4uYlwcwsx5haUstLcZqaxpY2WNgstbWZa2sxYLVasVitWZfxVShkthm13bJawKODcHqFovXqOqDg470rjYef0SagtNnR6+iQ0nTL89+ZmwszN9Gtrpp+5GVC0tJk53dJGS6uh0xazBYvFYujVakVZrVg76BUgMSLS1/9p71j7Z2NtatoP/C2JZ4kbABNugs3PwYyfQeLAro/xIu4YeWc5xh19PO6MQSn1FPAUGLd+bly7byEC8ZnGo6uhQD/boye4cNNpvXqL/inGww2ibI+QprYENj5t1OxPGepvaTzPhfcYRn7NH4ySGH7EHSNfAjj+FOUAZT0YowkgOvYIRetV40tW/sIIQpj1i67HBhGODcf/M/xS7tj6AtdtyGOzGgnYfPY+xp3omo3AcBEZIiKRwAKgY3zQ28DNtmiMaUCt9tsGNo49QjFm7FqvGt+w4xUj+GDWfZAYuu69P5uvo1Sl8IeIv9Mf/8XNdzmTV0qZReRO4AMgDHhWKbVbRBbb9i8F3seIwDgENALf857IGk/g2CMUKAD+W+tV401y73uPAini1cgH2aVG8p13h2B+972uDwxSGonmZ23/wQsRv+dPEX9jSdvdfpHDHXcNSqn3Mb7wjtuWOjxXwBLPiqbxNnPmzGHOnDmIyC57n0+tV423KJAi/hn5O6qJZUnr3ZjdMz9BzRfWQn5n/g7/FfEij/A3sFxh5Ff4EJ3xqtFovIvVCpuX8Vrkb2gkioWtDwRVo+7e8ozlSh5pu4Hrwj6H5642avX4EG3kNZogxZ6xPGzYMB5++GGnY1xlLHeVxe4R2ppgx6vw99nwzo/Yah3GNS3/zbEg7PzUW56wfIt7Wn9odI56YhK8/3M4sdsn1w79+yWNJgSxWCwsWbKEjz76iJycHCZPnszcuXMZNWqU47AEYLjtMRX4KzDVlsX+Fxyy2EXkbcds5y5RCtoaofW0kfzVetqI/a8+CtVFULoJijcamb9JuXDt3/nuS/2MhK4+ylvW6fx5yRJY/XvY9Ax89TdIGmIUukvPN96nuEyITjCSwyJjITwKTOG2BLieoY28RhOEdMhYZsGCBaxYsaKjkU/EScYykEvXWeyds+xKI1PbCWZlYr8ayFfWGXxoncSG4/mol/qucXck9/fbgTkkM50rwzYwvWoXE069S5q85Pqg775udJzrIV3WrvEWIlIJdHROpQLB1Bcv2OQF5zIPVkqleeLkIaJXCHyZk4B4zrzXgzES1Y45jBkNXKKUWgsgIv8GfoFh5C9XSn3ftv0mYKpS6s6OF3HMZsaoxrC/w5BAf586Egryduv76reZvDMhRWSTJwsqeZtgkxe8L3Mo6BUCX2YRuQG4zMFQHwbeU0rd5TDGWXyiws1MZjg7m9mFHAH9PnWkL8qr3TUaTXDSMRs5EvczliNdbNeEINpRptEEJx0z0ZNxP2PZnSx2TYgQaDN5l7eFAUqwyQv+kVm/Tx7GSSb6B+5mLLvKYu+hKAH9Pjmhz8nrt4VXjUaj0Xgf7a7RaDSaEEYbeY1GowlhfG7kg7EpuBsyzxKRWhHZZnv8yh9yOsjzrIhUiMguF/s9/h5rvXoff+jVDZluEJHdImIVkYANTfRJGQcP0pWuu4VSymcPjEWer4E8jDCu7cCoDmPmACsxYnmnAV/6UsYeyjwLeNefcnaQZwYwAdjlYr9H32Ot19DUq5sy5WMkSa0GJvn7PeqprgPt0ZWuu/Pw9Uy+vSm4UqqVM82jHWlvHq2U2gDYU7H9hTsyBxRKqc+AU50M8fR7rPXqA/ygV3dk2quU6pgFG2iEoq7dxtdG3lVj6O6O8SXuynO+iGwXkZUiUuAb0XqMp99jrdfAINDe40ChT78vvo6T91hTcB/ijjxbMOpJNIjIHOAtjMp/gYqn32Ot18DAK++xiHwMZDjZdb9SakVvz+8DAu2z51N8beSDsSl4l/Iopeocnr8vIk+KSKpSKlALIXn6PdZ6DQy88h4rpXpeAjEwCLTPnk/xtbsmGJuCdymziGSIGAWfRWQKxvt60ueSuo+n32Ot18Ag0N7jQKFvl3Hww6rxHOAAxmr3/bZti4HFtueC0dDga2AnAbBi74bMdwK7MVbtNwAX+Fne5cBxoA1jFnObt99jrdfQ1KsbMn3LJksLcAKjvIJf9equrgP54UzXPT2XLmug0Wg0IYzOeNVoNJoQRht5jUajCWG0kddoNJoQRht5jUajCWG0kddoNJoQRht5jUajCWG0kddoNJoQ5v8DgcHvKuIg2ikAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 432x288 with 3 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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I2rVraWpqGhwbGBjg0CHt3KamptLZ2QkwqOCcnBy6urp48cUXR568pxUQSMzyfnGxaAPS36knD00CxpTqtbcNUJDk2xskKRucdj25bzJlpKenk5mZybvvvgvAr3/968GnAG9YcRArLnoZnNKiCx22S5J+ujo6SEvPICkpiaNHj7Jt27ZRr9/R0UFycjLp6ek0NDTwxhtvDNn+m9/8ZvD9wgsvHBz/7W9/i8vl4uTJk5w6dYoFCxaMOPdll13Gs88+C8DmzZvJyckhLS2N3//+9zQ3N7Nlyxa+9KUv0dExPA9ndCIwEDkxFi1axC9/+Us+97nPUVZWxhe/+EWuvvpqvvSlL9He3o7D4eDLX/4y5eXlgxM1iYmJbN26lc9+9rMsXbqU0tJS1qxZM/TESkFvi44Bx4zycSdm6vhwbxukBKzPRtQzZXoFHeuPidcevi8S0vXNvbdFTwSbTBm//OUv2bBhAz09PcyZM4f//d//9blvovQD0Me5pwgHMbiUkICdiy+/gt/+39MsW7aMBQsWsHbt2lGvvXz5cs477zzKy8uZM2fOYKjRTX9/PxdccAEul4uNGzcOji9YsIB169bR0NDAE088QUJCwohzf/vb3+ZTn/oUy5YtIykpiV/+8pfYbDa+9rWv8Ze//IWSkhIeeugh/uM//sP6hz/8wa/PCkKgsNu+ffsqly9fPiRpNhjhgSmjvwuaK3T2x/B4/3Aaj2pDkTt/WkQbi4MHD/YsWbLkiOfYvn37cpYvX1461rERr1fnADQc1HH91DGKmrVU6vmcgqUhEfqJVr26wz4AJdJECr0cUTOH7FMijSTTx1FjPBCpnu5mNzk5OUPG77vvPq6//npuvfXWSV8Dxq9XM+wz1fS1AwLxaWPuSmI6DHSD01wdGvL0G4/Y8X7M0SSmg3KaoZ8QIgH7kJCPm14SsIqTWJxBkGp6McM+U01/u570s8SMvW98ms4K6u/QcwAmoUtfO1jihqZ3+iI+Vb/3d5ihnxBAgHjsdDLyxt2jrCCQRD8djBLOGweVlZVex5955pmAnH+imJ7/VOLoA0e/jvf7Q1ySzgfvH9/Ejck0o1x6cj4hzb8wjiVWOwB9pl5DgXjsWAT6VPyIbe45gASxj9gWaZjGfyrp15kjfht/McJDfR16otgkNLF36xuAPyEfN/Fp4OjVmT9B4v777ycvL4+bbrrJ6+OKiNxtlGTfLyLvi8jy6ZZxOkhE68Bb2MeFYFexxGMaf5PJ0N+lQwMxIz0Mn8Sn6vjwwNi5yyZBor9Lv8ePY1Vrgjv00xV4efzkvvvuY9OmTaPtchpYp5RaBvwbMHZNgzAkQey4lGDH+6KofuJIIPJTrk3jP1UoBfYuHeMdT4aH1YgJ24NnJEzGwN6lY/3jKdkQmwgSE1S9XnbZZYOrRr2hlHpfKdVq/LoNXbMp4ojHTj9x3isRAn1YiWdg9JWtEYA54TtVOPr1ClDr2BN8Q1LBYq26DIS9C/BSMsAkuLhcOuyTPPZajCF6FdHVXIPo+Y+TTwNv+NpYX1+fY7PZcq//vzPGrOjpgFy08pGPjL69spLrr7+egwcP+n3OZ555hquuugqMCVwrDvq8hHzc9BOHRRRx6lzWXUpKCl1dXdTV1fGlL31pcNHfnXfeyaFDh/jUpz7Ftddeyx133IGI8OKLLzJ37ly/ZQwGpuc/SXzWqLcb8f6JZHdYU7SRmIK4/3TX1A9XfH5OAz2A8uumPoL4FHD2T8kq7kDqVUTWo43/V33tU1BQYBueUx6qePZpEMDKAPZR/N4+pW8MCV7i/kVFRYOGv76+nvfff5/9+/fzla98hZdffpmbbrqJPXv2hLzhB9P4B75E7KJF7Nixg499/BOUXXIz//qtfxu81s033+xfidj4FFBOPr/hgbAqERtKTJleb7udsotv4l///T8Hr+W3Xo0bxuc3fC5oev3P//xPWlpafIooIsuAp4CblFLN4/3cpwNvZbqBMUt13371pTh7O/n3Hz/JlR/5KB+74kK+89Uvj6idYyeW01W13HLT9axZs4ZvfOMbg9s8GwRdddVVNDY2smLFisEKok899RTr16+fvg9jEoRW2CfcS8Ru2cJPfvITbrrpJna98SxZeYXMXfNhvvL3f092djZPP/00WVlZY5eINYzEd//1n8gqmR82JWJ9Ekl6/dOLZKUlM/fCj/CVv/+H8ek1LhHEwnf/5StklS4Nil7feecdMjO9rzQXkZnA74F7lFLHx6+U6WF4me6f/vSn/N3f/R1f/OIXRy3VbS2YRwq9PHTfx7n7775FNwl8/e8+xzt/3sTlV147eH4HMXzpmz/g/nvv4sG/+0cef/xxr3K8+uqrXH/99ezduxfQBdhSUlL4x3/8x+n4GCZN1Hv+4H+J2C1btgwe47VELLB06VLKFy+mMDeD+NQs5syZQ3W17nj46KOPsnz5ctauXTtYItYrMVawxPLCb3/LypUrOe+88zh06NCQBuueJWI9K1T6WyL2nnvuAXyXiH366aexWn3HRcOBgOu1vJzCrBTiUzMnplexQFwSL/z290HR6zXXXENTUxNVVVWSn5+/7L/+679yvv/97+d+//vfd09gfBPIBn4qIntFZOf4PvHpYXiZ7vfee49jx44NlupesWIF//7v/05NTc2IY+NlgL++v5OP3vARbvnwRWz/27ucPH50xH7v79jHHTddAzD4mUYaoeX5h1mJWG/nsFgsxMcZH2tcEhaLBYfDwebNm/nzn//sX4lYEU7XNfPD//4fduzeFzYlYn0SKXq1xuk03InqFThdZ+OHP/0FO3btITMre1r1mpubyzPPPENxcbHXGjBKqc8An/EpfIjg7bNQSvlVqtvV18UXvv4f/Pq1dygoKuZn/+8R7P39I/ZTQLxE9vzYmJ6/iDwtIo0i4nV6XUT+yfAS9orIQRFxikiWsa1SRA6Eshfhi/GWiB2CO0vAo9pje3s7mZmZPkvEtnbbqWjo5EBtO4frOqhr7yc5MYH01JQpKRF76623kpeXx+zZs72WiL3nnnu4+eabExYuXLi4rKysPCYmZlVDQ0MMRLFeXUa9F+s5gzuWXrv6BjjZ1MXB2nYO1bVT2dyr9ZpkDZvSv6HG8DLdl1xyCQsWLPCrVLfq1/WVMjKz6enu4k+vveL1GuevWc3vX3kNlBr8TCMNfzz/Z4DHgF9526iU+gHwAwARuQH4ilLKc0ZpvVIqLFvdj6dE7BBcTp3X7dG4+5prruGJJ54YUSLW6VI4XIq69l6KElLJSbEy4FQkzV/GeUsWsrh8CXPnzQt4idgbb7yR9PR0amtreeWVV0aUiP3GN77Bn/70J9cf/vCHw88991z6o48+mp+fn++sr693nyb69KqcOnQTe+4z9aVXpRROl+JMSw/5eclkJVtxKUXcguVar8tWMrdsfliU/h2Nykc+smu6q3oOL9P9+c9/HqvVyosvvjhqqW6JtbL1lf/l3rtu59YrL6aoZCbly1d6vca3Hn6Yv3/o8/z3r17ilgBV3Qw5lFJjvoBS4KAf+z0HfNbj90ogZ7Rj9u7dW6mU2un5OnTokApbXC6l6vYp1XpmzF2dLpc60dCp9le3KVtnn3K5XIPb+vr6lKrdrc7WVqpeu2PIcbNmzVJNTU0jzvfJT35S/fa3v/Vb1NOnT6vy8nKf2w8cONCtlNp5/fXXN//whz+sVErt3Lt3b2VU6lUppRqPKtV0bMzdXC6XqmruVvuqW1VdW49yeujV7nCqgdp9qrnmuOrotQ85LlB6HQu3Xj1fhr7GtAXhrNd91a3KWbNHNdacVPuqW0d9nayuU6p2t1J9HcEW22/Gq9eAxfxFJAm4BnjI894CvCUiCvgfpZTPPDj3ohEAl8sVKLGmH0e/9hCto2e1KKWobe2l2+5gZlYSGUlDJ1fj4+NRFitJrn6qW3qYm5eCJQi14Ds7Oy1btmxJf+qppzzbOUafXpVLl9zwY3FXU1c/rT128tMSyE8b6qHHxVhQ8ckk9/dxsqWXsvwY4mLMvIvpIBYnFlHY1dhmb3AdQBBrMU01gZzwvQH4mxoa8rlYKVUnInnAn0TkqFJqi7eDCwoKbAUFBTbQzSECKNf0MmDUbB+tuxPQ3jswaCCGG343Yk0ixd5N5YCTps7+QUMynSVin3/++fRVq1Z15efnexY4j0K99qIXd42u1167g4b2ftIT48hL9V7TSaxJWPs7QDmpa+tlVrZ2FEK19G+kEIeeixvww/gPRIHxD6TLcQew0XNAKVVnvDcCLwHneznO5XK5IqeMxkAvIEPiwsNxOF3UtfWSZI31aSAAsCZhcQ2QlWChqbOfAcf0e84vvPBC1u23394CYOjJFb16ZdT6/S6lqG7tJTZGmJGROCIrZZC4JAQoSHTR3jtAd39ws0rcevV/9/DUq9Vo0DLgh8+rEAZUTFj31B5LrwEx/iKSDqwDXvEYSxaRVPfPwFWAt4yhg01NTenh+oUawUCvsZjH95/T0NmP0wXFmaMYCBh8eshPUiigsXNkStpU0tnZyfbt21PvuuuuNpfLJU1NTemdnZ1HolKvjl492TtKhdbWbjt9A06KMhKJHS2UY+g1I85JXIyF+g7fqaFTjVuveNehN8JWr3FG6uZopR08GSA2bD1/f/Q65qcgIhuBy4EcEakBvgW6FqpS6gljt48CbymlPPvU5QMvGcYtFnhOKTWinqzD4fhMfX39U/X19UswbkbNzc2jG8VQpr1G/3PbvN9wHU4XDR39JMfHcLpzjEVULhd0NEKjnU5nAo12J21pCVgsk/9s/vEf/5Ht27fT1tZGQUEBDz30EAMD2su54447APjd735nXbVqVf/p06ez0B7Ewe9973v/BrwXdXrtatDvbSMXBIH2+hva+4iNsRDXGU/dWOdrb4a4HjotabT3DtBVH481dnpi//X19bFOp9PdUNYFHHQ4HH7l94ezXjvbmmiljzo/a2Y5pIPEGBc0hof3P169Br2BuzdWr16tdu4Mq/RxTXst/NdiuPYHcMEDXnd58LndbD7ayOZ/Wk/uaCEfNz9aBLMv5cQlP+LD/28LX/5wGV/+8PQ0eBeRXUqp1YE6X9jqVSl4ZCYsvQ2u/39ed/nxn4/z4z9X8MqDF7O8JGPsc/7qZuhtofOTf+GiR97msrJcHr/be9phoIlWvb72jStZKNVcYf+RX/t/I/bXfDpxC3y9dnxl2YPEePVqphkEkgbjCatgqdfNlbZuXj9wlnsvKvXP8AMULIH6g8zLS2X9glye316N0xV6N+yIpu2Mbq3pQ689dgfPvF/Jhxfl+2f4Qeu18SipccKd589k06F6mqY5rBdtzJBmalXO2Dsa1KksncDR1zZ1QgUR0/gHkvr9+j2/3OvmJ989RVyMhU9dXOr/OfOXgO0YOPq5fXUJ9R19vFvRNHlZTfyn/oB+92H8f7OjmraeAT5/+Rz/z5m/VJd3bq7g9tXFOF2Kl/fUBkBYE18USTN1ykvBPR/UuW8U7SNrBEUCpvEPJPUHIWOW1569TZ39vLirhltWFpOX6jsTaAQFS3RTmKZjXLEon8ykOH67KzK/jCFL/UFAIG/RiE0DThdPvXua1bMyWTXLd5esERQsGTz3vLxUVpRk8OKuGq/1eUwCgKOfPGk7Z9D94Kz7RmEaf5MxaTg4indYhd3h4rOXzh7fOfOXDp7bGmvhphUz+NOhBjr7wmMSKiJoOAjZ87wu3PvLkUZq23r57GXj8PoBcubr6q0N+qnittXFHGvo5PDZ8K67E7J06Cn4Ovz3/GtN42/iF/ZuaD7p1fi7XIqN26u5eF42c3LH2QEqe66uE1Sv5xM+sqwQu9PF5mNm6GfaqN9/zlMfxsbtVRSkJXDFwnG23IyJg9wFg3q9prwAi8CbhxomK62JNwwDPp6wj410sMSZxt9kDBoOA0rH6IexpaKJ2rZe7jx/5vjPa4nR4QbDQ1w5M5OclHg2Haof40CTgNDXDm1VXvVa3dLDloomPr6mZPS8fl/kLx1MEshOief82Vm8edDU65RgeP71yv/QnMICaYXQEZlzMabxDxSNunyst8nejduryE62ctXigomdu2AJNOjzx1iEq8rz+evRRvoGnGMcaDJpGo2y916M/292VCPA7WtKJnbugiV6/UC3Lo56TXkBxxo6OdUUNk3ewwdjnUajyhjfcalF0BmZN2TT+AcKW4Uu6ZAxa8hwU2c/fz7SyC2riie+iCd3EfQ0Q5cO9VxdXkCP3cnWkyHZYjWysBndDHOHrq1wuhQv7Kxm3fxcZmT4LvkwKrkL9btxg7mqXDsHfz5ihn4CTlcDvcpKF+PUVWq+afxNxsBWoScFLUM/0tf21+F0KW5dNYmuWHmGkWjSq0svmJ1FfKyFLWbK59Rjq9ATs8Nu6ttONdPY2c+tqybo9cO57CFDr0UZiczPT+HdirBskxDadDXSpNKBcS7WSi00jb/JGNiOQ07ZiOFX9tWxsCCV+fmpEz937lDjnxAXwwVzsk0jMR0M3tRjhgy/ureOZGsMVywa50SvJ6mFEJ82qFeAS8ty+eB0ixnSCzRdDTSRMf7jUgvA3gn9kReKM41/IHD061Wg2UONf1VzD3uq2rhpxYzJnT+1EOLThxiJy8pyONHYRV3b2H1pTSaB7bg2/h70O5y8fvAsVy8pICEuxseBfiCib+xNxwaHLi3Lwe5wsf10yygHmoybrkaaxhvvB/2/B+dqO0UQpvEPBC2ndLOPnKFx4T/s1xkGNywvnNz5RXRaYONQDxHgPdP7nzocdmitHKHXzcea6OxzTP6mDoZez/VSv2B2NtYYi7mKO9B0NRhhn3GSaiRpdJ4NrDwhgGn8A4F7UtAj7KOUXq6/elYmxZmjNwDxi9wFQzz/+fkp5KXGm3H/qaT1tO7KNsz4v7qvjuxkKxfP9T9n3Cd5i6DHNpjxk2iNYc3sTDOkF0icA9DbMjnPPwLj/qbxDwS2Cv3uER442dRFRWMXNywvCsw1hhkJEWHtnGx2VLaYJQGmCrdec87ptdfu5O0jjVy7tGBiuf3DyV2g3z1u7GtnZ3OsoZP2HnMVd0Do1g5SE6bn74lp/AOBrQLSZkD8udW77pWaV5dPMLd/OF6MxJrSTBo6+qlpNeP+U4L7ic5jLue9EzZ6B5xcUz7JUJ6b3KEZPwCrS7NQCnZVBTbuf//995OXlwfgtfKgaB4VkRMisl9EpqfG9FRjxOttEwn7xKfp/hym52/iFS+Tgm8dbmB5cToF6eMo4jYabiPhER9eXapXK+6oNCcHpwRbBaQUDCnU99ahelITYrlgzjiKuI1GWpE2MB7zOStKMoiLEXZUtgbmGgb33XcfmzaN6LvjybVAmfF6APhZQAUIFl2NABML+4hASmTm+o9p/EXkaRFpFBGv7cBE5HIRaReRvcbrmx7brhGRY4Yn8bVACh4yKAXNJ4bEhevb+9hX3Ta4aCcgpBWBNXVIZsj8/FRSE2InZPzdXuCSJd5r1mzevBlgRdTqFaC5Ysg8jsPp4s9HGrhiYR5xgQj5wLnJfA/PP9Eaw5IZ6ewIcMbPZZddRlbWqDetm4BfKc02IENEAvSIE0QMz39CE74Qsbn+/nyDnwGuGWOfd5VSK4zXdwBEJAZ4HO1NLAbuFJHFkxE2JOlq0I0+PIz/n4wVmlcuzg/cdbwYiRiLsHpW5oQ8RD+8QICuqNWrUsbajXN63XWmldaeAa6caJkOXwzTK8Ca0iz217RPd77/DKDa4/caY2wEIvKAiOwUkZ1NTSGedOAO+0wk5g867h+NMX+l1BZgIi7I+cAJpdQppZQdeB7tWUQWXiYF/3S4gdLsJMryxlnBcyzyFo4wEqtLszjR2EVr9/gaTfvhBfoiOvTabdNF3Tw8/z8dbsAaY2HdgtzAXit3kZ6U7D5XrmNNaRZ2p4sDte2BvdboeFv+6jWbQCn1pFJqtVJqdW5ugD+PQNPVCAnp9DNGz2xfuD3/CEusCFTM/0IR2Scib4iIezLJby8CwsyT8GQwzVN7iB19A2w9aeOq8oLAN7XOXTjCSJxntA3cPzVGIsXUqzb+SineOtzAxfOySYmPDey1hq3gBlheor3UfdVtgb3W6NQAnvUqimHsXvQhT1eDjttPlNQC3c6xvzNwMoUAgTD+u4FZSqnlwH8DLxvjfnsREGaehCe2CohL1tX/gHeONTHgVIEN+bhxhyCaKwaHlhRrI7E/wEZi5cqVAPujV69Db+rHG7qoaukJfMgHzj1deOg1LzWBwvQE9tdMq+f/KnCvkfWzFmhXSoV/vKOraZLGPzJz/Sdt/JVSHUqpLuPn14E4EckhUr2I4TRX6IYrRkG3zceayEiKY+XMzMBfy51RZDtnJNIS4piTkxxwzz8tLQ3ABdGq1xO6iU6aLsi3+ZjOGPnQeJu2+EN6ia4I66FXgGXF6QEN+9x5551ceOGFAPEiUiMinxaRDSKywdjldeAUcAL4OfCFgF08mHQ1QMpkajAZN46uyDL+k35+FZECoEEppUTkfPQNpRloA8pEZDZQC9wB3DXZ64UctuNQfD6gO3a9c7yJS+blEGMJcMgHdGXJGOs5r9RgWXE6204FNjOkvv7cFz1q9epRpfWd400sLEgNXOquJxaLvtYI45/Bm4caaO8dID0xbtKX2bhxIwAislsptXr4dqVXCz446QuFGl2NkDwJ4+9+ajBSRiOFMY2/iGwELgdyRKQG+BYQB6CUegK4Ffi8iDiAXuAO40vkEJGHgDeBGOBppdShKfkrgsVAL7RVw4pPAHCkvgNbVz/r5k9ReCMmFrLmaK/Ug6XFGby8t47Gjj7y0vwzTnfeeSebN2/GZrNRXFzMww8/zMCAXlG6YcMGXnzxRYByEdlHtOkVtPEv0mucuvsd7Khs4f6Lx9l/eTxkz9PtIj1YZoT0Dta2c/E8/xuPm3hg79ZVOSfj+Scb/8/RZvyVUneOsf0x4DEf215HP0pGJs0nATWY6bPluC69MGXGH7SR8Mj1B1jujvvXtPPhxf4Zf7cX6IuHHnqIL37xi4d8eIiRrdeBPt26cdnHAdh6spkBp5paveaUwZE/6GJysTorZemMc3o1jf8EcRvsycT8EzN1L9/uyDL+5grfyTBsUvCd440sKkzz2/ueEDnzdcEx57m6L4uL0rAI7K9pm7rrRhPDqrRuqWgiyRrDqtIpmMdxk12mi8i1nh4cykiyMjMrydTrZAiE8RfRTw4R5vmbxn8yuMMvWXPp6news7KVy+ZPsYeWUwYuhy41bJBkjWV+fup054RHLu6sG2OC/Z3jTVw4J5v42EnU7h8Ld8aPl/kcU6+TwF2HfzJhH9ChH9P4mwxiOw7pM8GaxNaTzThcUxwagHNFxoZNDi4qTONofWTlIQeNwYJu86i0dXOmuSfwC7uG4yWTC7Rea1p76egzK3xOiEHjP8nU65T8iGvoYhr/yeDRuvGd440kWWNYPStABb984V5J3DzUSCwsSOVsex9tPeNb6WviBVuFTvGMT+Gd43ph2pTf1BPSdBG5YZP5iwp1+8/j5o19YnQ3gVggeZJP5Cm5g6WhIwXT+E8UpcB2AnLKUEqx+VgTF83NwRo7xR9pYqZ+BB0WHlhYqCtPmt5/ALBVDN5k3zneRGl2ErOyk6f+ujllI/VaoPV6xNTrxOhqgKScET2Yx01Kvg77uFyBkSsEMI3/ROmo00u+c8o409xDTWvv1Mf73WSX6RuPBwsLtId49GzH9MgQqShlGP/52B0utp1qHmyZOeXklOlre9SQKUxPIDUh1tTrROlqnHy8H/Q6AeWE3sCW2Q4mAS5SEkV4ZPpsPaVr7Vw0d5qMf04ZHP3jkKG81Hgyk+I41mB6iJOis17nhefMZ39NGz12JxfPC0C7Rn/ILoO+NuhpHgxTiAiLCtI4Znr+E2OSq3tLv/YaAB+x1PK4Fa76999yXOkF7pWPfCQgIgYL0/OfKO7YbHYZ759sJi81nrm50xAaAG38e5qh59yqXhFhYUEaR86aRmJSeGT6vH+yGRHdVH1a8JHxs7AwlaP1nWa7zonQ1Tj5yV7OdQHLkcjJvDKN/0SxHQdrKioln60nm7lobnbgq3j6wkfGz8LCVI7Vd+JymUZiwng+0Z1sZnFhGpnJEywFPF5yfOi1II2ufofZrnO8KDX5uj4G7v6/OZjG38SYFDzR1I2tq58L506Tdwheq0CCjvv3DjipaumZPlkiDdsJiEumLzGfXVWtXDhnGvWaXgIx8SP0usA9n2OGfsZHXxs47QH1/HOlbdLnChXMmP9EsVVA6cW8f3Ka4/2gC7xZ4nxmhhyt76A0Z5pCUJGG7TjkzGN3dRt2h4uLpiveDzojJXvuCM9/gcdk/pSUCo8w3HH6uVLLX+LhS3+o49VXXpvUOTtIol/FkiuRM/Fuev4Twd4NHTWQU8b7J23MyEikJCtp+q7vLvA2LONnntE57GRT9/TJEmkYmT5bTzYTYxHWlE7xuo3heKnumRIfy4yMRE42dU2vLGFOrhGfb5po+8YhCE1kRJTnbxr/iWBM9rqyyth2qoWLpjPk4yanbER4IDk+lsL0BE42mkZiQth7oL16cBJ/6Yx0UhMmX0p5XOTM16U7HEMX683JTTZv6uMklzYAGlVGQM5nU2lmzD/qMTyzk6qI9t6B6Y33u8kpg5ahBd4A5uammB7iRGnRVVr7Muayr7oteHpVziG1m+CcXs2MH/9xe/7ueP1kaVIZg+eMBEzjPxFsx0EsvNesY7FBMRLZZeAagNYzQ4bnGh6iaSQmgDGHcqAvD4dLBeeJLtt7uufcvBR67E7qO/qmX6YwJVfasKsY2gnM/JdNpZupnlGPrQIyZvJuZRezc5IpTE+cfhl8ZPzMy0uhq99BQ0f/9MsU7thOAMLm5lTiYmTq6zR5w0ftpnm5ej7nhBnS85tcaaeJDLy3nR4/TaSTTTsWIqPEw5jGX0SeFpFGETnoY/vdIrLfeL0vIss9tlWKyAER2SsiOwMpeFCxVeDKLmP76ZbgeP3gswrk3Fz3pO/oRuL+++8nLy+PJUuWeN3+7LPPAiyOLr0eh4wS3j3dzXklmSRap7CEsy8S0nUpgWGT+XPztPdqzuf4Ty5tNAUo5APa848RRSaRkXLrj+f/DHDNKNtPA+uUUsuAfwOeHLZ9vVJqhbeOUGGJywXNJ7AlzKKr38Ha6cwD9yQpC5KyR3iIc/P8M/733XcfmzZt8rl99uzZAMeiRq8AzRU4sso4WNvO2jlB8PrdeJnMz02JJzUh1pz0HQe50k5TgCZ7gcFzRUroZ0zjr5TaAvjsDq6Uel8p5a52tA0oDpBsoUlHDTh6Oe4oAGDNVHZ3GgsvBd7yUuNJiY8d00O87LLLyMrybeAuuugiAKfxa+Tr1eUCWwUNcSW4FKye7hRPT7yke4qIOZk/TnKkPeCePxAxk76Bjvl/GnjD43cFvCUiu0TkgdEOFJEHRGSniOxsagrhutnGRNz2rmxmZCQGJ97vJmfeCA9RRJibl8KJwBqJyNdrZx0M9HB0oACLwHkzM4InS04Z9LYMqd0Eej7HjPn7hwUX2bhj/oEh0ko8BMz4i8h6tJH4qsfwxUqplcC1wIMicpmv45VSTyqlViulVufmTlMJ3YlgeNpv1aexalYQvX7Qnn93E/S2DRmem5vMycbAhAeiR6/6JrqtI4sFBWnTn9/viY/aTXNzU2js7De7evlBFp3EiApo2CfSSjwExPiLyDLgKeAmpVSze1wpVWe8NwIvAecH4npBxXYcV3w6R7sSWB3MkA94ZPwMmxzMTaG+o4/OyRuJRKJGr9rQvtWYxupg39R9ZHK5q8ZOZtLXmOdZIiInRORrw7eLSLqI/EFE9onIIRH51IQvFkTcBjpQOf4AXSTSq6zRE/MfCxGZCfweuEcpddxjPFlEUt0/A1cBXjOGwormCtqSSoEgpQJ64sNDnGPU9TnTPPECb1VVVQBziSK9OuNSOWNPDf5NfbB20zC9Gsa/snliT3VOp5MHH3wQ4DiwGLhTRBYP2+1B4LBSajlwOfAjEZmmsqaBw238AxnzB8Gm0iMm5j9mYTcR2Yj+EuSISA3wLSAOQCn1BPBNIBv4qVHS2GFkgOQDLxljscBzSinf6SXhgq2CytgVpMbHDhbcChqZpSAxIzxEd8vBM809LJnh/ct/5513snnzZmw2G8XFxTz88MMMDOgnhQ0bNvCd73wHtN6iRK/HaUmcCZ0S3MleMGo3zR7xRFecmYTIxG/q27dvZ968eZw6dcqulLKLyPPATcBhj90UkCpawSnoZA/HhC4YRHJx1/XJCOh5baQPlo0Id8Y0/kqpO8fY/hngM17GTwHLRx4RxvR1QOdZ9sRfyYqZGcRYpql+vy9irfoGMMxDnJmti8yN5iFu3Lhx1FM/9dRT/OIXv9g7PJUzIvUKYKvglFpMYXoCMzKCOInvJrtshF4T4mIoTEuYsPGvra2lpKTEc6gGuGDYbo8BrwJ1QCrwcaXUiFVNxkT/AwAzZ86ckDxTyVSEfUA/SZRIY0DPGSzMFb7jwfDEPujKDn7Ix01O2QgPMSU+lpyUeKomEfaJKvq7oKOWPT25wZ/Ed5MzD1pOgXOo0z0rO5kzEwz7+Cj5MXzwamAvUASsAB4TkTQv5wrpifxcaadLJdBDQkDPG0klHkzjPx7cBd1cRcGPC7vJngfNJ8HlHDI8KztpwrHhqMO4ee7tzQv+ZK8bd+2mtqG1m2ZlJ03Y8y8uLqa6unrIENrD9+RTwO+V5gR6EefCCV0wiAQ6x99NExlk00kMzrF3DnFM4z8ebMdxEUOtFLCiJCPY0mhyysDZr0sRezArO8ns6OUvHlVagx7vd+Mjk2tWdjLN3fYJZXKtWbOGiooKAKsxiXsHOsTjSRVwBYCI5AMLgFPjvliQyaUt4PF+0GEfiyiyIqDEg2n8x0NzBfUxBcwrzCQ5PkSaoA1m/AwzElnJnG3vo28g/D2UKae5AhcWGuOKWBjsSXw3PjK5ZhnzORPx/mNjY3nssccA5gNHgBeUUodEZIOIbDB2+zfgIhE5APwF+KpSyjahvyGI5E6V5x9Buf4hYsHCA9V0nKOOgtCJ98PQnPCyDw8Ol+ZoI1Hd0kNZfogYtFDFdpx6Sz5LinOJjQkRfyg5GxIzvWRyab1WtfjO5BqN6667DuCg50S+kbXn/rkOnb4b1uRKG++7hmexTh73BHIkxP1D5JseBricqJZTHHcWhs6kIEByLsSne/EQ3TnhZuhnLJxNFRwdKGBVKN3UwWvtpnN6NedzfGFlgAzpDujqXjfuUFJuBJR4MI2/v7RVYXH2c0oVhs5kL4CI1xo/s7Lc4QHTSIyKywXNFZxUhcEt0ucNL9U9dSaX1czkGoWcKcrxB9Pzj04Mz7ojeXZwi7l5w4uHmJEUR1pC7KRW+UYF7dXEOPs5pYo4b2aIGf/sedDVoNeXeDArO9n0/Edhalb3anpIoFvFm8Y/mlBGNc/MWeVBlsQLOfN0Vcr+czVfRETnhJsZP6NjeNaOzHmkhMokvhsfNX5mZSWZnv8ouA3zVIR9AKPEQ9uUnHs6MY2/n3TXHaFFpbB4TmmwRRlJtq+0wCQz7DMGzkZ9U88p9d7RLKj4yuTKTqbOzOTySe6g8Q+85w86nBQJZZ1N4+8nvWePclIVhd6kIPjMCS/JSqK2tReny2zm7ou26kO0qWQWzp0dbFFGkjUbxDLC8y/J0mHH2rbeYEgV8rhr7zQzNcY/Uoq7mcbfTxLaT1ElxcEv5uaNrDmAjMj4Kc5MxOFSNHT0BUeuMMBef0wv7podpHacoxEbryt8jtCrnsyvaTWNvzdypZ0WlcLAFGWyN0VIiQfT+PtDbxupjhbsGXOCX8zNG3GJkFEywkN0GwnTQ/RNUscpzsYWh0YxN294qd1UnGl4/qbx90qutAW8oJsnNpVOtnSCM7yb6pjG3w+66o4CkFwU+EUjAcNLFUi3QatpNScHvdLXQbqzGUdWWbAl8U12mVG76Vxhzfy0BGItYurVB4Fu3D6cwRTS7rBb+DwE0/j7QfXxvQDMKFsWXEFGI8cwEh6VG00PcXQaK3UPmrQZIVy3LGceOHqho2ZwKMYiFGYkmE90PtB1fabS8zeKnHY1TNk1pgPT+PtBR/Vh7CqGhQtDMCPETfY8GOiGjnNFGhPiYshJiTdjwz6oPr4PgOL5K4IryGj4qPFTnJFk6tUHU+75u8/d3TRl15gOxjT+IvK0iDSKiNdWfaJ51OgJul9EVnpsu0ZEjvnqFxouSEsF9bFFJCeFaFwYfOaEz8hM9Gok7r//fvLy8liyxPsNzaj9XhLJeu2qPcKAimFOWQjf1H1kcmm9mmGfEfR3kST9U5bmCZx7qogCz/8Z4JpRtl8LlBmvB4CfAYhIDPC4sd1Xv9CQZ8DpIqv3DN0pIZgK6EnOfP3uJePHW3jgvvvuczfz9sobb7wBkECE6hUgpqUCW1whsdb4YIvim5R8iE/zqtfGzn76HWau/xAMgzyVnv/gZHJXeHf0GtP4K6W2oPt4+uIm4FdG84dtQIaIFALnAyeUUqeUUnbA3S80rDhc08xM6onLXxBsUUYntRCsKV4zQ2pbe3ENy/W/7LLLyMryvWbhlVdeAWiOVL129g2Q219FT9qcYIsyOiJGw56RmVxKwdk2M413CIZBnoq6Pm76iKdTJUa+8feDGYBnJ5EaY8zXuFdE5AER2SkiO5uaQieWVnH0IFZxkjM7hCd7wTASc73EhhOxO13YuvrHdbra2loAu8dQROl1T6WN2XIWa0EIT/a6yRlZu8mdyWVO+g5j0POfurAPGJO+3abx95b4rkYZ90qo9gS1VR4AIKMkBGv6DCd7ZBVId65/9TgnB0fp9xoRej1x/BBWcZI7e2mwRRmb7DKd7WM/V6rDncllxv2HYXjjU5nnD8aThen5UwOUePzu7gvqazxsUErhaNA5/oMTb6FMThm0VcPAOUM/I3NiHmJxcTGA1XOICNErQOsZfVNPKAyD6Yqcefq9+eTgUEF6AhYx03hH0NWAQ1loZWpX4ttUumn80T1A7zWyftYC7Uqps8AOoExEZo/SLzSkqW7ppWCgmp74XEhIC7Y4Y5M9D1DQcq7l6kQXet14440A2ZGoV4fThWrSBd3C4qaePTKTKy7GQmG690yuqKargWbScE1xFnuTSg/7bJ8xi1+IyEbgciBHRGqAbwFxMNj+7XXgOuAE0AN8ytjmEJGHgDeBGOBppdShKfgbpoydZ1qYJ7W4ckJ8stdNjkdOeL4OUyXHx5KVbB1hJO688042b96MzWajuLiYhx9+mIEBvVx9w4YN7nZ//USgXo/WdzLLVUNfUi4JCVMbHggI2XPRtZu8pXuaxn8IXY1TmunjxqbSoa8NHP26BlMYMqbxV0rdOcZ2BTzoY9vr6JtDWLKzsoWrpI6kog8FWxT/yHaHB0aWeRgeHti4ceOopxIRgCrPXq9uIkGvyy11kBsmN/W4REj3UrspI5EPTo+WiBeFdDVMebwfPEs8NEF68ZRfbyowV/iOwunTJ0mRXizhYiSsyZA2Y4SHWJieQH27mRLoZmdlC/MsdSSEQ6aPm5x5IzK5CjMSaOjoM0t2e9LVSON0ef7G9cIV0/j7oL13AEuzOy48P7jCjAcvOeGF6QnUtZvhAdCT+KcrT5FKD4RLOA+MTK4TQ2o3FaTrkt3jTeONWFwu6G6kcQpz/N00mcY/ctld1cocMZJYwsn4u3PChxmJzj4HXf2OIAoWGtS29ZLWfVr/Eg6TvW5yysDeBZ31g0OFaQkAnDWf6jS9LeByTF/MH8I61980/j7YVdlKmaUOFZ8KqQXBFsd/ssugv31I0amiDG0kzNAP7DrTylz3TT1cwnngdT6ncFCv/j/VGSU9loxWl0lELheRvSJySETembDM041xY5yWsE8E1Pcxjb8Pdp5pYVlCA5IzX6+eDRfcOeEe8eGCNNP4u9lZ2crC2LMoa6ouiREu5Iys7lmYrtN4/fX8nU4nDz74IMBxfNRlEpEM4KfAjUqpcuC2SUo+fUzT6l6AfqwQnw5dobNqfbyYxt8LA04Xe6vbmENteMWFwaME8PHBIbeRMOP+sPNMK8sTGpCcsvC6qacWQVzSEOOfmRRHfKzFb+O/fft25s2bB2AfpS7TXcDvlVJVAEqp8IlrGMa/kczpuV5Knun5RxqH6zqIHegibcAWXnFh0CmBcUnQdGxwKD9d5yFHu+ff2TfAsfoOSlVteM3jAFgsWuamo4NDIkJheoLfxr+2tpaSEs/F2V7rMs0HMkVks4jsEpF7vZ0rJGs2TaPnD2jjH8Y1/U3j74Wd4RoXBq9GIj42hpwUa9RPDO6paiNR9ZJqb4TcMDP+ALkLh9zUQZd58DfmP0q9Jk9igVXAR4CrgW+IyIgPKyRrNnU2gDWVXhKm53opeWa2T6Sx60wLq1OM/pzh5iEC5C0aYvxBG4mzUR722XmmlXmWs/qXsNTrQuisg962waHC9ETq/CzrXFxcTHV19ZAhRtZlqgE2KaW6lVI2YAuwfDJiTxtd9dogTxfJpvGPKJRS7Khs5cJUG1jiILM02CKNn9yF0Hl2hJGI9rDPrjMtXJpprIgNt7kcgNxF+t3D+y9M1wu9hvdr8MaaNWuoqKgAsI5Sl+kV4FIRiRWRJOAC4EggxJ9yuhqnNzMvJU9n1g2E5/+VafyHUd3SS1NnPwtiz0LWHIiJC7ZI4yfPbSTOef/jiQ1HIg6niz1VbZyf0gSWWMgK8c5s3sgzViQ3nbPFhekJeqFX99gLvWJjY3nsscdAx/WPAC8opQ6JyAYR2QCglDoCbAL2A9uBp5RSXlu4hhyd9brz2XThfsoI01z/MWv7RBs7z2jPMK+/EopCuLfraOQaRqLxCMxcC+iwT3vvAD12B0nW6FP7kbOd9NidlFnqwvemnj5TT+Y3nrupF7jTPdv6yEsdO9ZtFOw76FmzySjQiMfvPwB+EBihp5Guxuk1/smG8e9qgoyZ03fdAGF6/sPYeaaVnHgX1vZKyAuDBi7eSC+BuOQRnj9E72pQ9009t+ck5IVBDX9vWCw6AWGY5w/Rq9dB7N1g74TUIHj+YZruaRr/YeyqbOXawg4EdS58Em5YLDqbZYjx1x5itMb9d55pZU4axLafCV/jDyMyftzGfzyrfCMStwE2wz5+Yxp/D9p7Bzje2MmlaYYyw9pILBoSHnAbiboo7PmqlGJXZSvXFHZAON/UYcRkflayFWuM/wu9IpbOIBj/wbBPBBt/EblGRI75qgciIv9k1ALZKyIHRcQpIlnGtkoROWBs2xnoPyCQ7K5qRSkoj62FGKuODYcreQt16ltvKwD5Xko8bNq0iQULFjBv3jweeeQRb2fJjwS91rb1Ut/Rx0UpEXBTHzaZLyJGGm+UG/8uo+DddBr/WCskZg0pthdOjGn8RSQGeBy4Fh/1QJRSP1BKrVBKrQD+GXhHKeXZZWK9sX1EY5BQYldlKzEWoaC/UqcCxoTxxKg7LdDw/hPiYshOtnK2QxsJd52XN954g8OHD7Nx40YOHz48/CwNEaHXM/oGuCCmFmLiwzPTx43nZL6B2a+Bc973dBdhTCvST2JhiD+e//nACaXUqVHqgXhyJzB6m6gQZeeZFhYXphFjOxreoQHwmhaYn3bOSLjrvMyZMwer1codd9zBK6+8MtoZw1evla0kW2PI7j6hJ0wtMcEWaeJ4mcwvSE/gbEf0hfOG0FmvU3gTs6b3uqkFEW38ZwCeywK91QMBwFgUcg3wO49hBbxl1Al5YKKCTjXuYm4XlVihvfqc8QxX0kvAmjIk7p+fFk9jpzb+w+u8FBcXU1tb6/VU4axX0JO9K2dlYmmKgJu6O+OncehNvbGj31f5huigq1HH4C3TPI2ZWhC5YR/AW+lDX9+yG4C/DQsNXKyUWokOGz0oIpd5vUiQC0Udruugb8DFZelGWYdwjguDrlg5LC0wLzWBhg69GMiboRDfVS7DVq/uYm4XzYiFjtrwN/4wonxHXmo8/Q4XHb1R3Kxnuks7uEkt1JlGzvD77P0x/jWAZylAb/VA3NzBsNCAUqrOeG8EXkKHkUYQ7EJROyq1XVsaZ3i/kWAkhqUF5qfF09zVj9OlRtR5qampoaioyNeZwlavu6vacCm4KNW48YT7TR30Tb2rAXqMBYnGZL77qS4q6WoITtOl1EJQrrCs7umP8d8BlInI7FHqgSAi6cA6dG0Q91iyiKS6fwauAkJyqfiuM62UZCWS1nlCx1TTw2/F3ghyFw4xErlpCbgUNHf1D9Z5OX36NHa7neeff54bb7xxxCnCXq+VLcRYhAUxNXogIm7qQzN+8lJ1ye7Gziju5dvZML2ZPm7cDYHCMO4/pvFXSjmAh4A38VEPxOCjwFtKqW6PsXzgPRHZh64T8ppSalPgxA8M7mJua2ZlQeNhHe+f7tjhVJBvrFBu0HbZbSQaOvoH67xcffXVLFq0iNtvv53y8nKeeOIJnnhiyGr/sNUrwI7KVhYXppHQckzPgaSXjH1QqDOo10OAp16j1PN3DmjPOyiev3HNMDT+fuUyKqVeB14fNja8HsgzwDPDxk4RBuVgzzT3YOvqZ3VpFmw5AvOvDrZIgaFgqX6vPwCzLxvM9dfhgXSuu+46d62XQTZs2DDk93DW64DTxZ7qVu48f6aeIM1bFF7du3yRVqSzWur3A55hnyj1/LsaAKU/l+nGfc0wNP4R4N5OHne8f22eU3sQuREQGgA9AZaSD/UjPf9o4JAxib9mVqb2knPDPIPLjQgULBnUa0p8LMnWmOj1/DuMKcjUIBj/5FwQS1hm/JjGH50HnpEUR6njlB5we8yRQMFS7fkDOSnu2HB0GImdxk39/Ow+6G2BgmVBliiAFCzTIUojyyQvLSF6PX+38U8rnP5rW2K0g9Vhev5hyY4zLayelYmlQRvJiDL++Uv0xKDDjjXWQnayNWqMxI7KFmZmJZHTZTSzL4wg45+/BBx90HIS0E91TVHyRDeCQePvdfnR1JNaaIZ9wpHmrn5ONXXreH/9AT0hmDTNqwSnkoKl4BoAm075zE2NpzEKwgNKKXZWtrK6NHPwyWdwojQSKDB6TRh/W15aAg1R8kQ3gs46XbYjMTM4108tNMM+4chOo+7L6lmZegItkrx+8Jj01fHh/CgJD5y2ddPcbWdNaRbU79NF+uJTgy1W4MhZoNuMGsY/PzU+elf5dpzVIZ9pnswv/dprlH7tNX59qJ/WhjODv4cLpvGvbMEaa2FpXizYKiIrLgyQNRdiE4akezZGQXhgZ6W+qa9xe/6RptdYq57Adus1LZ7eASdd/eG30nTSdNQFL+QDNKhMMqWLeOxBk2EimMb/TCvLi9OJbzkOqMjz/GNi9arWwbTAeJqMVb6RzM4zLWQmxTE31QmtlZGnVxgyme9u4RgtmVxD6Kw7t9gqCDSgw0250hY0GSZCVBv/XruTg7XtOt5/dp8ejEgjYaQFKkV+WgJOl6KlO7y8lPGys7KVVbMyEWMhVMR5/qD12tUAXY3kpUVXJtcgSp0L+wSJBqWNfwEtY+wZWkS18d9X08aAU50LDSSkh2Uj5jEpWKZTHTvqPEoBRK6RsHX1c8rmMYkPkZXp48ZjEZ/b82+KgvmcIfS0gLM/6GEfgHzT8w8f3Hngq2YaqyULlkXGCtDh5BuZIQ0HyTWMRCTH/YfG+/frhTjBqPsy1Xjo1e35R91Cr073Aq/gef71SmcHFkh4ef5h3Kpq8uyobGVBfirp8aJXgK6+P9giTQ355YDA2X3kL7sUiGzP3z2Jv2RGOrxhZHBF4k09KQvSiuHsPlLjY0mMi4nom7on7qya9ZY9/K8VPvp/lexRwcm0aSeZXmUNO+MftZ6/06XYfcbIA285qRfMRGJcGCAhDXLKoHY3ue6wTwQbiR1nWllRnEE8Tt3MJlL1CjDjPKjdjYiQlxY/Zhrvpk2bAJb46sftRkTWGD2bbw2wxAHFbXDd3ndwEOpUNkViC6IM4ydqjf+x+k46+x06D7xujx4sDPlaZROnaCXU7SY+xkJmUlzELgjqtTs5VNuub+qNh/QCt0jXa+tp6GkhPzVh1LCPu28zcBwf/bhhsG/3f6Ir+YY0BdKKSwlNpAdVjlqVwwxpDqoM4yVqjf/201pRq0szoXaXruGfuyDIUk0hM1bqzJCOOmOVb2R6/rurWnG4lL6p1+7SgzNWBVeoqWTGSv1et4fc1PhRJ3zdfZsB+xj9uL+IbtnZGGhxA00BLTSRjiPIEWzt+ZvGPyzYdqqF4sxEijOTtJEoOi+8G3uPRZHbSOwmJyWe5ghN9dx2qhmLuG/quyEpJzIzuNwUrtDvdbvJSbFi6/Jt/If3bcZLP24RmYHu4TCkZHuoUiAtQQ75aOpUDnnShpWBYIviN1Fp/F0uxQenm1k7Jxsc/Tod0O1BRSoFS8ESC7Xa+I9mJMKZbaeaWTojndSEOH1Tn7EqMid73SRmQPY8qN1DTko8HX0O+h1Or7v6KP0wfPDHwFeVUt5PYhDs3sxuZoiNOpUdtOu7qUPLEE6Tvn4ZfxG5RkSO+ZokEpHLRaRdRPYar2/6e2wwqGjsorVngAtmZ+nl8U57ZIcGAOIS9Epfw/O3dfazadMmFixYwLx583jkkUe8HZUaTnrttTvZV92ub+p9Hbp/caTrFQbnc3KMyfzmLu9PdcP7NuO9H/dq4HkRqQRuBX4qIjcPP1ewezMbUjBDbNSqnCBd/xxuGWaE0aTvmMbfmPx5HLiWUSaJgHeVUiuM13fGeey0su2Ujs2tnZOtQwMQHUZixkrDQ4ylq8/OF77wIG+88QaHDx9m48aNHD582NtRYaPXPVWt2J0uLpiTBWf3Aip69Np5lhkWvb7B11Odu28zYPXVj1spNVspVaqUKgVeBL6glHp56oSfOFl0kih20/hPEH88//OBE0qpU2NMEgX62Cnjg9PNzMhIpCQrSRv/5FxILw62WFPPjFXQ304pDdjPHqekdDZz5szBarVyxx138Morr4x9Dk1I6nXb6RYj3p917qZedF5whZoOjBvcjN4jgG/P3923GZjP6P24w4Ji0eGmGhWsJ49zuOcdigifSV9/jP8MwPNZccQkkcGFIrJPRN4QEXfhdH+PnbYYolKKbadatHcI0REXdmNM+s7qP4qjs5msvHOrIouLi6mtrfV2VFjoFfQTXXlROmnueH9mKSQHPx485RjzObntuo5R0yjzOUbP5oNKqblKqe+C7sc9vCe3MX6fUurFqRF68ri97FDw/O3E0agywirX3x/j780qDp8k2g3MUkotB/4beHkcx+rBaYohVjR20dJtZ+3sbOhrB9vx6AgNgC4BHJdEfqc2En0O15DNMvIG2E2Y6LVvwMneqjbWDt7Ud0ePXuMSIW8RyTZdnDBSJ/OH4zb+NSFg/CH80j39Mf41gGd+2IhJIqVUh1Kqy/j5dSBORHL8OXa6+WBEvF9FfqaPm5hYmLGKtKZdxKZmU1tTM7ippqaGoqIRDbBd4aLXPVVt2J0urdeOs9BREz3GH6DkAmLqdpFmBVtnZKbxDmeG2OhQiXSQHGxRAKhV2REX898BlInIbF+TRCJSIIbbKCLnG+dt9ufY6WbbqRaK0hMoyUqEqm0gFig+P5giTS8z1xLXdJDMwhLqzpzi9OnT2O12nn/+eW688cbhe8eGj16bEXe8v2qrHpy5NpgiTS8zLwR7F+cnnY0az79YmoyQT2iEbOtUjvb8w6Sb2pjL4pRSDhF5CL3UOwZ42j1JZGx/Ap0S9nkRcQC9wB1KJxV7PXaK/pYxUUrn919alqtDHFXv68qICWnBEmn6mbkWUS4uTqqi57Nf5+qrr8bpdHL//fdTXl7OE0/o0O+GDRsAMoGDoa5X0JP45UVppCfGaeMflwwFEVzWYTjGje7CuAre7l4SZGGmh+IQSfN0U6eySRS7LjMdBnNNfq2JNh75Xx829oTHz48Bj/l7bLA42dSFrcuu48LOAajZCefdE2yxppfi80EsXBJ7gu2zP8fx48eHbDaMvpsmpdRqb6cJJb32DTjZXdXGvWtn6YGqrVC8Woe5ooX0YkgvYbnjCC90fiTY0kwLM8TGdlfolGSpc9+I2qvDwvhH1Qrf9096xPvr98NAD8y6MMhSTTMJaZC/hPPkKLYIafyxu6oVu8OI9/e16/Lcsy4KtljTz8wLmd9/EFuEFu3zJI1u0qQnJNI83QzK0nYmuIL4SVQZ//cqbBRnJjIzKwnOuOPCUWb8AWZeyIKBo7R2dgdbkoDwtxM2Yiyi03erd4ByRVe8383MtaQ5mknprcHhdI29fxgTSmmebqpUnv6h5XRwBfGTqDH+DqeLrSebubQsx4j3b4XM2ZBaEGzRpp+Za4lXfeR0HR973zDgvQob55Vk6Ho+VVtBYqB4TbDFmn4MR2a1HKOlJ7IzfkLR+HeSRLNK1SW2w4CoMf77atrp7Hdw8bwcPRtftS06vX4Y9IoXDRzE7ghvD7Gtx87+2natV9DGv3A5WEMj/W9ayV3IQFwaayxHfa7yjRRmiq42Xe32tkOEKpVvev6hxt9O2BCBi+bmQONh6LFB6cXBFis4pBXRmVTCWssRWsK8tPPWk80oBZeW5YC9G2p2RK9eLRa68tew1nIk4tM9Z0k9HSqJFlKDLcoQzqg80/MPNd6rsFFelEZWshVObdaDcy4PpkhBpa3gIm0kOrqCLcqkePeEjZT4WJaXZGiv32mHOeuDLVbQcJauo9TSQE/DyWCLMqWUSgOVKp9QyfF3c0blQ3sNOELfqYoK49/d72B3VSuXzDNm40/+FbLLoqOYmw/ssy4nVXqxn9kRbFEmxd9O2Fg7J4u4GIvWa4w1esN5QMLCDwOQWP1ekCWZWkqlXhvaEKPKla8TDtqrx945yESF8f/gdDMOl9KhAYcdzvwN5kavdwgQP28dLiXEV20JtigTprqlhzPNPVzijvefegdKLgBrUnAFCyLJRYtoUJnkNL0fbFGmDoedYmmiUoVeskal+4bUciq4gvhBVBj/dytsxMdaWDUrU8eEB3qiOuQDkJWbz341m6yG8DUS71bojI9LynKgqwkaDkS9XsViYVfMCma17wRXeE/m+6S9mhhRVLpCz/hXDRr/0I/7R4Xx/9sJG+fPziIhLgZO/VWnApZeEmyxgkqSNZbtsoz89gO661UY8rcTNgrSEpibmwKn39GDUf5EB3A0aSXJzna9kDESMbzqyhAM+zSRrkuLhMGkb8Qb/7PtvRxv6DoXGjj5tq7imZAeXMFCgIMJK7HghMrwiw87nC7eO2HjEve6jZNva526G5pHMVUZF+gfTr4dXEGmCsP4nwnBsA+I7iNhev7B5+2jOh94/cI86GzQZZzLrg6yVKHB2bTl9EoSHN8UbFHGze6qNtp7B1i/IA9cTjj+Jsz7MFhigi1a0LFmFHBUZuvPJBJpOUWXSsBGiBZkzJptev6hwF+PNjIjI5GyvBSoeBNQsODaYIsVEmSkprA9dqU2/mEWH377aCOxFuHS+Tm6a1ePDRZcF2yxQoKclHjeHFiJqv5Az4VEGs0njUyf0ErzHCR7rn46cTqCLcmoRLTx7xtw8rcTzVyxKE+HBo5tgvQSyC8f++AoIDvZyp9dq6CrAep2B1uccfHXo42sKc3SLRuPvQGWWJh3RbDFCgmykq285VyFoAyHJ8JoPsHpkAz5GOQu1OtNWiuDLcmoRLTx33aqmd4Bpw75DPTqGOiCa6OjX68fZCZbeb1vCUpi4OhrwRbHb2rbejnW0MmHFhpL+4+9oat4JmYGV7AQISvZyiE1C0dKERwNiarbgWOgF1orqXCF8BqdHKPMtO1YcOUYg4g2/n892khCnIUL52TrHHBHL8y/JthihQzZyVaanck4Sy6EY+FjJIbM47SchqYjMN8M5bnJSrYCQkvxh7XDY+8JtkiBw1YBKCrUjGBL4pvc+fq96Whw5RgDv4y/iFwjIsdE5ISIfM3L9rtFZL/xel9ElntsqxSRAyKyV0R2BlL40VBK8faxRi6em6NTPA+9pLNBSi+dLhFCnsq9f6P2559j/je288hL+6B5REmArFDTK+ib+sysJObmJmu9AiyMjgYm/qCNP1TnrdcOz6m/BlmiANKkvekKFcKef3wqpM2AptCumjum8ReRGOBx4FpgMXCniCwetttpYJ1Sahnwb8CTw7avV0qt8NUVaio42dRFdUvvuZDP0T/Cohsh1jpdIoQ0TqeTp3/wDfJue5gXX3uLjYecHH5/RHy4nxDTa9+Ak/dP2vjQQmMe5+DvdHeyzFnTJULI4zb+p5JXQEr4VJn0i6ajIDEhubp3CLkLIsLzPx84oZQ6pZSyA88DN3nuoJR6XynVavy6DQj6bfmtww0AOi5c8RbYu2DprUGWKnTYvn07pbPnEpdRQIu1iDse+havHGwfvlt3qOn13QobfQMurdfGo9Bw0NTrMNzG39ar4MsH4aKHgixRAGk6CtlzGfCvA23wyF0ItuMhnUXnj/GfAXhWKaoxxnzxaeANj98V8JaI7BKRB3wdJCIPiMhOEdnZ1DT59LRNB+tZXpJBUUYiHHgRkvPMkI8HtbW1zJpZAkBLj53imbOora0d7ZCQ0OsbB8+SnhjHhXOztdcvFlh886TPG0kkWWNJiLPQ2mMf8aS7adMmgCUTCeGGBE3HtFcd6uTM12VkOmqCLYlP/DH+3lJjlNcdRdajjcRXPYYvVkqtRIeNHhSRy7wdq5R6Uim1Wim1Ojd3cn05q1t62F/TzrVLCqC3VXv+5R81FwB5oJQiPk6r313TX3xkQYWKXu0OF3863MCHF+UTJ8CB3+obemroLfMPNtnJ8SMaujidTh588EGA40w8hBs8HP06fz4nDIx/7kL93hi6oR9/jH8NUOLxezFQN3wnEVkGPAXcpJRqdo8rpeqM90bgJXQYaUp581A9gDb++18ARx+cd/dUXzasKC4u5mxtLfGxFlq77dTU1FBUVDRiv1DS6/snbXT2ObReK7foVZTnfWKqLxuWZCbH0dI9tKHL9u3bmTdvHoA9nEK4gzQeAeUMj3U6eYv0e8OB4MoxCv4Y/x1AmYjMFhErcAfwqucOIjIT+D1wj1LquMd4soikun8GrgIOBkp4X7xxsJ7FhWnMykqCXc9A0Xm6tZ/JIGvWrKGiooLk/mYa27t5/vnnufHGG4fvZiWE9LrpYD3J1hhdxXPXMzqvf9EImU2ArOR4WnoGhozV1tZSUuLpx407hDtIoMN5fuEuVBcO/8uJGbrGz9l9wZbEJ2POmiilHCLyEPAmEAM8rZQ6JCIbjO1PAN8EsoGfGqEDh5EBkg+8ZIzFAs8ppaa0kEx9ex+7zrTyD1fOh+rtumXjDY9O5SXDktjYWB577DFuu+9znPil4qt/93nKy8t54oknANiwYQNAIVpvQderw+nizUP1fGhRPgn9LXDkj3D+AxCXMJWXDVuykuI4bRvapU0pr9HasUK4XsvfKqWexAgJrV692us5As7Z/WBNhczZQOiGUwYpXK5lDlH8mjJXSr0OvD5s7AmPnz8DfMbLcaeAab1Nv3bgLADXLi2E934A1hRYcst0ihA2XHfddXzsP16ks8/Bvzyo+94aRt/NGW9pnMHQ6/snm2ntGeC6JQWw51fgGoBVn5xOEcKKrOR4WruHev7FxcVUVw/pMDVWCPdaz1Bf0KnfDwVLwRIma1MLlsHhV6C3TT8JhBhh8in6z0t7alg6I5151ladDbLyXohPCbZYIUtWsjUsmri/tKeW1IRY1s9Lg21PwNwPhUfWR5DISo6jq99Bv8M5OOYO9QHW8YZwg47LCfUHoHBZsCXxH3d58frQjPtHlPGvaOjkYG0HHz1vBmx9XA9e+GBwhQpxspKttIa48e/ud7DpYD3XLysk4dAL0N0IF3852GKFNFnJ8QBDbuzuUB8wHzgCvOAO4brDuAwN4U776m2fNJ/UqZMF4WT8DVlDtKlOiK+UGB+/31NLjEW4aX48/PyXsPS2qG7S7g/ZyVY6DQ8xPjY0U2HfPFRP74CTjy4vhNce1RP4s71mlpoYuBd6tXTbKUxPHBy/7rrrAA56hvP8CeEGnbo9+j0cJnvdpORBamHITvpGjOfvcile2VPLZWU5ZO95XKd3mt7hmGQaRqJtWGZIKPHSnlqKMxNZ3fa6zvO+9B/Myqxj4Gn8I4LqD/RkrzuFMlwoOg9qQuPhaTgRY/zfPWGjrr2PuxcA25+EFXdB3sJgixXyZBtGYviCoFChuqWH907YuH1ZFpbN/wHFa2Dh9cEWK+SJPOO/HYpXh99CzZILoOVkSDbViRjj/+utZ8hJsbK+5me6Qfv6fwm2SGFBZpI2Eq09oWkknttehQD3WV6DzrNw1b+bXr8fRJTx7+uAxkPakIYbMy/U79XbgiuHFyIi5l/b1svbRxv4z+WNxBz+Paz7KqSNXK1qMpLsFMPzD0Ej0e9w8sKOau6aaydt+09g8U0wc22wxQoL0hPjsEiEGP/anaBcUDLli8gDQunXzjVGsjLAgfg4fvXsc3zXYaHykdApPR4Rnv/GD6pIopeP1v5AF1S69B+CLVLYMOj5h6CR2HSwnpbuPv6p/3G9mOva7wdbpLAhxiJkJIVHGu+YVH0AiA75hRl24tir5rLGEnpdvcLe8+/ud/B/2yp5Mvt5Yjvr4Pa3IDY+2GKFDRlJVkRCz/NXSvHzd0/xtbQ/kd60A256HFJDvIZ7iBEuazhGo/Rrr/GC9SUSmcUN33432OJMiJ2u+TwQ8xrJ9AZblCGEvee/cXsVH7Fv4qKuP+lwT5g8GoYKMRYhM8k6oghYsNlSYSP17FY+a/+1Ltm8wizMN14iwfin0sNKqWCLK4zy+4fxnmspceLkQsvhYIsyhLA2/v0OJ/vfeYmH434F867Uxt9k3GQmxY0oBRBsXn7rL/zM+iiSUwY3PWZO8k6ArAgI+1xoOUSsuNjiDKP8/mHsdC2gW8WzzhJa+f5hbfzfeuNl/nPgEfoyy+CWn4dPzY8QIzs5nuYQ8vy37dzBV5u+htUaj9y5UfdENRk3WSnhb/wvtRygSyWwW5UFW5QJM0As77uWcLllH3gvrhcUwtZadu/9PVfu+hxtcXmkfPoPuryvyYTITA4dz99RtYMFr91CojiIu+8VyJ4bbJHClqwkK609dlyu0DE440Ip1sfsZatrcei3bRyDza7llFiaoPlEsEUZJPyMv8MOf/kOiS/fzxHXLLrv/iOkTK5DVLSTlRwf/AlfpWDHL+CZ6+lyWtl35fPEFS0JrkxhTlayFZeC9t7QuLGPm9rdFIuNN13hl+UznLed5+kfDr8cVDk8CS/jf/pd+PmH4N0f8VvHOt5Y9XPmzZ4dbKnCnqzkOFp77L7qvU89DYfh1x+F1/6eD5zzeaT4MS696OLgyBJBDC70CtEFfGNy+GXsKoa3nKuCLcmkOUs2O1zz4cDvgi3KIKH/LOVywYk/wQdPwMm3cabO4Oux/x87Ui7m9evCdxIolMhMsuJ0KTr6HKQnxk3PRZWCmh3wwf/Aod+j4lN5MnkDj3dfzpsfX+ezn7CJ/2QkaV22haPxd7ng0Mu871pCB5FRkv1V50WsaXoGGg6FRCtKvzx/EblGRI6JyAkR+ZqX7SIijxrb94vISn+PHZPnboPnboeGw/Rc9g1ujX2UP9hX8dhdK0mIC7M6HyHGpk2bWLBgAd+460O0b/utVyMxZXp961/hF1dCxVs4zv88X8n/Xx5puYwf3nbekCqUJhPnXImHMAz7nPortFfxO+elwZYkYLzuvECXntn3fLBFAfww/iISAzwOXAssBu4UkcXDdrsWKDNeDwA/G8exo7PyXtQtT7P1ps1ct2sVh5sGePzulSwuShvXaUyG4nQ6efDBB3njjTd45rV36T78Djv3jKg7ns5U6XXRjfCRH3HsE9v5eOX1vHysj4dvLOeqcnMhV6AI9bpNo7LrGUjKjoh4v5tm0mHhR2D3r8DeE2xx/PL8zwdOKKVOKaXswPPATcP2uQn4ldJsAzJEpNDPY0flX4/PYc0radz5i90MOBXPfuYC1i/IG88pTLywfft25s2bx5w5c8jLSCF50WVsev2Pw3fLYIr0+vPKXC7+yxyufnw3FQ2dPHbXedx7Yenk/zCTQc6V6w4z4996Bo6+Bivuws40hSGniws2QF8bHHgh2JL4FfOfAXg2/qwBhpfX87bPDD+PBUBEHkB7l8ycOXNwvCgjkQ8tzGPVrExuWF5EkjX0pynCgdraWkpKSgAoSE/gvEVzaW+uHr5bHFOk17y0eM6fnUV5URofW1k8GKIwCRzJ1hiuKS+gODMp2KKMj/f+S5duvuDz8PbeYEsTWGZdpLuRvf/fsOITEBM8e+bPlb3NvA1PC/G1jz/H6kGlngSeBFi9evXgPl+4fJ4fIpqMF8/MnsL0RD518Wy2b/er5nhA9HrTihnctGLGeEQ2GSciwhP3hFmmTMsp2Pus7seRPgPYG2yJAosIXP41eP4u2PMrWH1/0ETxJ+xTA5R4/F4M1Pm5jz/HmgSB4uJiqqvPOe81NTUUFY0ogz2AqVeT6WTTP0OMFdaNP4cgbFhwna7z/9f/gJ6WoInhj/HfAZSJyGwRsQJ3AK8O2+dV4F4j62ct0K6UOuvnsSZBYM2aNVRUVHD69GnsdjvPP/88N9544/Dd2jD1ajJd7H0Ojm8y+nEUBluaqUMErnkEelvgtX8IWsmHMcM+SimHiDwEvAnEAE8rpQ6JyAZj+xPA68B1wAmgB/jUaMdOyV9iMi5iY2N57LHHuPrqq3E6ndx///2Ul5fzxBO6l/eGDRsA2oFTmHo1mWrq9mpDWHopXPhgsKWZeopWwOX/DG//m+5QtnbDtIvg12yDUup1tIH3HHvC42cFeNWYt2NNQoPrrruO6667bsiYYfQHUUqZejWZWuoP6BXeSdnwsZ+HX5/eiXLJV6BuD2z6KliTYOW903r58CrvYGJiEjkoBXuehV9cpRsw3ftKZId7hmOJgVt+AXPWw6tfhDe+Cv1d03Z5M2/SxCSK2LRpE8ASETkBPKWUesRzu+i6Gj9Bh3F7gPuUUrsDKoTDDsdeg62PQ80OtrsW8GDnl2j6wVHgaEAvFWp49vd1E8unOLFugS5hc/hVuOghWH4nJGVNqSym8TcxiRLcq7qB48BqYIeIvKqU8mwx5bla/wL0qm6vazi8ohQ4+sHeBf2d+tXXDm1noOU01O3WPXkHuiF9Jtz0OB//TToqioMQDmLh2v+E8o/Bn78Fb35dlz8pWgkzVkHeQkgv0WGxpGzd3yI2Qb8m0cPENP4mJlGCe1X3qVOn7Eopu4i4V2Z7Gv/B1frANhHJEJFCI8trbPY+C6/4mLCVGMiZD+fdDWVXw9z1YIlB/WakNxyVzLwA7t+k50CO/BFOvg17/k/fKL1R/lG47ZkJX06CVsZ3FESkCTjjMZQD2IIkzkSJBJlnKaUC1izB1GvQcMucCaQBKKVyReQe4AKl1EPuHUXkj8AjSqn3jN//AnxVKbXT84SeK7eBBcCxCcoUKkSCPOP6fw1Jz3/4HyAiO5VSq4Mlz0QwZR6Jqdfg4JZZRG4DrlZKfcZjs7+r9YcOeKzcnoxMEz0+0ESjPNEbaDMxiT4ms1rfJMIwjb+JSfQwmdX6JhFGSIZ9vDDhx8sgYsocetcLBGEr82RW60+VTCFE1MkTkhO+JiYmJiZTixn2MTExMYlCTONvYmJiEoWElPGfTKP4YOCHvJeLSLuI7DVe3wyGnMNkelpEGkXkoI/tAf+Mw02vhkxhpdtg6HWyiMhtInJIRFwiErQ0y7F0Pc2yjKrHgKKUCokXegLqJDAHsAL7gMXD9rkOeAOdi7wW+CDE5b0c+GOwP9thMl0GrAQO+tge0M843PQarrqdbr0GSOZF6AVim4HVoarrUNJjIF+h5PlPplF8MJh0E/NgoJTaAozWPijQn3G46RXCULdB0OukUUodUUqNd2VwoAkpXfuhx4ARSsbfVxP48e4zXfgry4Uisk9E3hCR8ukRbVIE+jMON71CZOo21D7jUCFqP5dQyvOfTKP4YOCPLLvR9Ta6ROQ64GV0tcRQJtCfcbjpFSJTt0H5jEXkz0CBl03/opR6Zaqv7weh9t2bNkLJ+Ifb0vMxZVFKdXj8/LqI/FREcpRSoVRAajiB/ozDTa8QmboNymeslPrwVF9jkoTad2/aCKWwT7gtPR9TXhEpEBExfj4f/Xk3T7uk4yPQn3G46RUiU7eh9hmHCv58PyOTYM1q+5jpvg7daOIk+rEQYAOwwfhZgMeN7QcIUobAOOR9CDiEziDYBlwUAp/xRuAsMID2ej491Z9xuOk1HHUbDL0GQOaPGrL2Aw3Am6Gi61DS41RdyyzvYGJiYhKFhFLYx8TExMRkmjCNv4mJiUkUYhp/ExMTkyjENP4mJiYmUYhp/E1MTEyiENP4m5iYmEQhpvE3MTExiUL+f/6FG0OOqMWaAAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 432x288 with 3 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 3 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Code accompanying my answer to the thread:\n",
"# https://stats.stackexchange.com/questions/535356/frequentist-vs-bayesian-and-pdata-h0-vs-ph0-data-giving-same-result/535382#535382\n",
"\n",
"from scipy.stats import beta, norm\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"\n",
"np.random.seed(42)\n",
"\n",
"def beta_std(α, β):\n",
" v = (α * β) / ((α + β)**2 * (α + β + 1))\n",
" return np.sqrt(v)\n",
"\n",
"def experiment(N, R=10, sample_size=100_000):\n",
"\n",
" print(\"H_A\\tH_B\\tBayes\\tz-test\\tdiff\")\n",
"\n",
" for H_A, H_B in zip(np.random.randint(1,N,R), np.random.randint(1,N,R)):\n",
"\n",
" a_beta = beta(H_A, N-H_A)\n",
" b_beta = beta(H_B, N-H_B)\n",
" mc_prob = (a_beta.rvs(sample_size) > b_beta.rvs(sample_size)).mean()\n",
" \n",
" z = (H_A/N - H_B/N)/np.sqrt((H_A/N*(1-H_A/N)/N) + (H_B/N*(1-H_B/N)/N))\n",
" z_prob = norm.cdf(z)\n",
" \n",
" print(\"%d\\t%d\\t%.3f\\t%.3f\\t%.2e\" % (H_A, H_B, mc_prob, z_prob, mc_prob-z_prob))\n",
"\n",
" x = np.linspace(0, 1, 500)\n",
" fig, (ax1, ax2, ax3) = plt.subplots(1, 3)\n",
"\n",
" mean_A = H_A/N\n",
" std_A = beta_std(H_A, N-H_A)\n",
"\n",
" ax1.plot(x, a_beta.pdf(x), label=\"beta\")\n",
" ax1.plot(x, norm(loc=mean_A, scale=std_A).pdf(x), label=\"normal approx\")\n",
" ax1.set_title(f\"H(A)={H_A}\")\n",
" ax1.legend(loc='upper center')\n",
"\n",
" mean_B = H_B/N\n",
" std_B = beta_std(H_B, N-H_B)\n",
"\n",
" ax2.plot(x, b_beta.pdf(x), label=\"beta\")\n",
" ax2.plot(x, norm(loc=mean_B, scale=std_B).pdf(x), label=\"normal approx\")\n",
" ax2.set_title(f\"H(B)={H_B}\")\n",
" ax2.legend(loc='upper center')\n",
" \n",
" norm_mean = (H_A/N - H_B/N)\n",
" norm_std = np.sqrt((H_A/N*(1-H_A/N)/N) + (H_B/N*(1-H_B/N)/N))\n",
" \n",
" x = np.linspace(norm_mean - 4 * norm_std, norm_mean + 4 * norm_std, 500)\n",
" \n",
" ax3.hist(a_beta.rvs(sample_size) - b_beta.rvs(sample_size), density=True, label=\"beta diff\")\n",
" ax3.plot(x, norm(loc=norm_mean, scale=norm_std).pdf(x), label=\"normal approx\")\n",
" ax3.set_title(\"A - B\")\n",
" ax3.legend(loc='upper center')\n",
"\n",
"\n",
"experiment(5, R=5)"
]
},
{
"cell_type": "code",
"execution_count": 60,
"id": "bd72a162",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"H_A\tH_B\tBayes\tz-test\tdiff\n",
"88\t85\t0.737\t0.733\t4.00e-03\n",
"31\t84\t0.000\t0.000\t-1.35e-19\n",
"9\t92\t0.000\t0.000\t-1.19e-98\n",
"79\t20\t1.000\t1.000\t0.00e+00\n",
"71\t44\t1.000\t1.000\t-1.02e-05\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 3 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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pP8UwiMMOO4y7776bj33sYyxcuJCrr76aM888MzrjGsS7XSxsXNxq8ryrjLvvvpsrr7ySvr4+FixYwJ133rn3RScNJCFev/e5eJ1/6w0X77e//e185zvfYenSpSxatIjjjz9+zGMvW7aMo446isWLF7NgwYKBUF1IJpPhjW98I57nce+9e6sOLFq0iFNOOYUdO3bwne98h1QqNWzfX/ziF7n88stZunQp9fX13H333bS3t3PDDTfwm9/8hrlz5/Lxj3+cf/u3f0v89Kc/Hf+DCph0Yapnn31247Jly/ZZNFmJn9e7urpp7XmRdONBuN1tJOIx4vu9vqw2VBtr167tW7JkyXODn3v22WdnLlu2bN54762WcY082V5o/xtpkqTIsDG+kHmzGsd/3xhMxXHdtvVVDpBdrPMOwR0UMFgkm+knySbdj6UHtZTk2GGzipkzZ+7z/GWXXcbZZ5/NBRdcUJTjFDquNRM2Udf/9o3ZcVxsZIRvY4Oh7ATnoSP+ZJSO8BPfMD4psmQ1to9wA/STpI5MhayqLDUTNgl/ntoxf4BFTSqyoQoIksVciYNinIoJkiJLmsSw5zPEmUYvFqULR23cuHHE5++6666SHTMfasfzDsRbrBiu2AMz/AZDRQnOQ9fyPW9zXk4AVZLkyDB8KV1GE4j4a+inGnmJt4hcLyLrRGStiNwrIsOj8hVmwKOxbFRsLLwxU+QNhrIQnIMqsX0eGwrAzWGJjizewXNJI97DEZEDgWuA5aq6BLDxe+NVF7pXvBHbv29+ohoqTXAOqmXEe8K4fkw7q2OItxjxHo0YUCciMaAeqLrqP6IuHgJioRL8WeZCMVQa9fwKpoF4C56pnVMojr9mPzPCFJ2HkNXYlPS8x52wVNWtIvJ1YBPQD/xSVX85dLvt27fPbG9vnwXgeeUXTVEPDb+Lyux5j7aUqBp4z3veM+83v/nNtBkzZjgbNmxYByAircAPgXnARuBCVd1dOSurk2KMq3oeHhZi+eemhYcCMvbbysa8G35+jH/vlaLsb+NX3zH26xs3cvbZZ7N27dq893nX3d/l9DcuIbf//BFfzxIbN+bd2NhIT08Pr732Gtdcc81A0tZFF13EunXruPzyyznrrLN43/veh4iwYsUKDj300LxtrAT5hE2mA+cC84E5QIOIXDx0u9mzZ7cvWbLkuSVLljwXi5V/EYuoN+BxhxdKPp53KUs2loJC7b3iiivaf/KTn2wY8vQNwG9UdSHwm+BxTVEt46rq4iKI5TsUFoo3QqJOtdhbjdz1/R+yccfovkWWOAny+/zmzJkzINzbt2/nT3/6E2vWrOH666/nwQcf5Nxzz+Uvf/lL1Qs35Bc2OR14RVXbVDWH3xfvTaU1K3/CEpPX/uNnWHrqeX6JybRfCOiZZ/4yTonJU7jppps49dRTuf766zn55JM57LDDaqrE5FlnndUza9asoWf2ucDdwf27gfMK/dxLzeRKh1bPuKrn8qHrP8cnrruWk951BSeddAo/LXPp0GpjpDK/wOilfp/5K5dffQMXnnkS6f5+vnPj13j/O97Ku087gX/+5HVk1CYuLgz6xf/KK69wwgkncOyxx/K5z31u4PnBDT7OOOMMdu7cyZFHHjlQwfC2227jLW95S3k/kAmSj4u8CTg+aGraD5wGrBpxywqWmLztpi9z2zf+mQ9c83l+/vOfc9U5x3LJh67km7d8e/QSk7//PQA//elPSSQSPPbYY9x0001TocTk/qq6DUBVt4nIfqP9Ddu3b58Z/9VnDkx1brAORuDJyWUHDlDK0qFVNK4P3XUjirB506s8ev/tPPXKbs6/6FLOOvMMoDylQ6uNoWV+v/3tb3Pttddy9dVXDy/1e/vtfOsbX+Uzn/0s+y89FYCLLv0IV173TwB8+tqP8fCvHuWKM48ENwuWvxDu2muv5aqrruKSSy7hlltuGdGOn/zkJ5x99tk888wzgF9AqrGxkU984hOl/giKwriet6o+CawAngb+GrxnfPekjMyfP5+jFr8BFYtjjjmGzZu30NnVzZ7Ozn1KTD722GMD73nve9+7zz7e+c53AnDEEUcMlJhMJpMDJSYBbr75ZpYtW8bxxx8/UGJyLO677z6OPvpojjrqKNatW8f69esHXhtcYnJwhbx8S0x+8IMfBEYvMXnHHXeQSAxPaiiU2bNnt89oSu1qSNh9QyuolZp8S4dW9bh6LorwrvPfg9g2r1swj/nz51d8XCvJ0DK/jz/+OC+88MJAqd8jjzySf/3Xf2XLli17M1SxB97/1Mo/8IFzTuf809/En//4B577m+/gEJTeBfjjH/84MBbhZ1pr5BWcVtUvAF8Yd8MKlZhMJJL+um7LxrZtXHf8icrBJRthb5lKy7L2KVlZoyUmd4jIAYHXfQCwc9Q/BKJXOnSEfVRsXIN5F8sSEBsLRbW8pUOrjZHOcVUdudRv1g+pOOqLdyad5suf+QT3/vy3zJ5zEP/5ja/Slwl+iLj7psmX29koNzWTYWmhfqF2/EGb1txEy7Tm0UtMFkiNlZj8CXBpcP9S4KE8PoKqYNzSoQVS8nFVRREefOB+PA9e3biRja+8UtLSoSLSIiIrROR5EXlORE4Y8w1lZmiZ3ze/+c0sWrRo5FK/bo6mhnr29Ppf3JmML9At02fQ19vDr37+EB4Wnso+nveJJ57I//zP/wAMfKa1Rk3UNlH8JVhesERQRPBUuP3b3+Dqf/zHkUtMFkhUS0wC85944omm3bt3x/bff/+lV1xxRRfwVeA+EfkQ/pzGe4YdpIoZs3RogZR+XH2v/PWLXs9b3n0Z23a2842bv1Xq0qE3AY+o6gUiksDPzRiRjV99x+pyVxUcWub3qquuIpFIsGLFiuGlfuedx2UXvpNPfOqTJFN13PPgLzn/oku44G0nMmfuwSxedjQAOWySzl7xvummm3j/+9/PTTfdxPnnn1+2v62c1ERJ2K7+HI271uLWzyI+/SB6Mw6J9vVoahqJGYeUzY58qdYSk0O2q/i4Ro2RxtXd9lcuvvYLnHv++7jwrUfSl3Vxph9KS/3E49ZjjauINAPPAgt0hIs7cuPatRV62ljjzRtzswWyjcaEDbOiWwa60Ou1JjxvTz0sATdcSyuCh5gKboaKI0HYRAQQ8dd5lzbBcgHQBtwpIsuA1cC1qto7eKNKJ9XljZMDOw7jmJgjBl527I1qjJoQ77CWtwQxb9sKOpdUaQW3ai0xaZgcI4+rxzf/4/8xY8582PUygpY6PT4GHA1crapPishN+ElYnxu80ezZs9tnz57dDr7nXUqDJoWbBTvBeNnvOWxwcwSzweWxrcIUY8LS8zyvop+WBjP6Msjz9mt6V7FHUQGCccr3Q6n4uNYCQuB5A4iFlMDzHjKuW4AtwRJf8Jf5Hr3v5hEa11C8xyFHDNCBuv61wHjXazHEe21bW9u0Sp4QGoRHrCFhE1OYai+e50lbW9s0IN+iEhUf18ijikAQNhFELH+pYBEbBwwdV1XdDmwWkXA5y2nA+kFvic64qoKXy0u8w6WEuJHOXxogn+t10mETx3E+vH379tu2b9++hODLoKOjo6xrLHt6e9mZ64B2hfh2APr37CAhHvYULre0ffv2mOu64eyZB6x1HOfD+by3GsY18qgHnTvpoo9dXf3Qtws320dvUumom3iGex7jejXw/WClycvA5eELkRpXz4GunVDnsKPPHnPT3eTokz2BBtSVx74iU+j1OunVJiOxfPlyXbVq5Az6UnDnd+/k8peug8sfgUP8Ja0PfuEcTkluYPqnny+bHdWGiKxW1eXF2l+5xzXy9O2Cr83n6/aH+MTnvgGPfJqelbfzreN/zw1nvWHCu50y47plFdx2Glz0Q+bdOfb81Ww6eCJ1NZz9H7D8ijIZWFwKHdfaSNLJBhPpib3Zao6VIuaNnilnMJScoA61ZweZnbGk387Lqc6J9Kqj2/8VTdP+427aRoufpNe1rbQ2VRE1Id5Wrse/k9xbNMmxU8SNeBsqSSDeagXiHa8jLi653NRa0jZhegLxbpw97qYuNjTuD91V1yemZNSEeNs5v/4B8b2et2vXkfDS/qSHwVAJwoy/WHKfWzdrnIq86NkJCDTMym/7pgOM5x01xA0KFg2aqHBjdX69EyczyrsMhhITet4DYRP//NTs+AW2DPhhk4aZYOe5rqJ5DnQZzztS2MFFMli8NbhQCL1yg6HchIWS4mHYJKhn4hjxzoueHXmFTAZoOsCETaKG5ab9er/2oOVXoZDnzIViqBCBUyEDYRNfvL2c+TWYFz078pqsHKBpf0h3Qm5qhKVqQrxjbpqcJPd5TuNBITXjeRsqRRCyk9DjjhnPuyC6C/S8GwOh7x27PH2tUBPibXsZcta+JTYlbsImhgoTivcQzzv0yA1j4Hm+CDeO2qFvOA3Btj1tpbGpyqgJ8Y67aRxrX89bwjXfJmxiqBSBSFuhaAceuEyRn/WToq/Dz7BsKsTzDlalGM87OsQ0g2Pv63nbSRM2MVSYwPO2E8GvwGAS3XKNeI9Lzw7/trGAmHe4bfjeGqcmxDvuZXDtfT3vULxz6d6R3mIwlJ6gp6IV33edt7hmwnJcwgSdQjzvcD24CZtEA89TkprBtfctRhMLsi1z/T2VMMtgQIPwiJ0Iwyb+OWob8R6f7gl43rEkpKYZzzsqZByPlGT31o8IiKX8mHfWeN6GCuEOiHcYNgk62RvxHp+B1PgCxDvc3sS8o0HGcakji8b2jXkn6nzxdox4GyqEE6TBx0LPO4h526bmzvj07IRkMyRG7Z08Mg37mbBJVEjnPJJk92ZUBiRSftjEyZiwiaEyeNk0WbVJJoLksWC1SczLlLoVWvTp3l641w3+ihMTNokG6ZxLnWSHFWBPperxVPAyZrWJoTK42X4yJEjFgsss+HWY0BxOibsQR56enRMU7/2h13jekSDtuKQYLt51yRj9JHCzRrwNlcF1MmSJkYwHXWCsGB4WCcmRc02LvjHpbfOLUhVKwyzIdE2J/I7oi3fOo47M3ozKgPqETR9J1Ii3oUJoLk2GOMnQ8xbBtRIkyZFzjOc9Jn3t+ZeCHUyYkdlT+5OW0RfvrENKcljxfSc26uI2aU2CEW9DhfByabI6SLwBz/bFO2s879Fxc9C/e2Ke90B9k9oPnURevLNpX5wlMSRskrDpJzElfj4ZqhQnQ4Y4qfje5rme5bdCM2GTMejb5d9ONGwCxvOOAmEGpZ0cMmEZt0mTQEwFN0OFUGdI2AS/n2VCcmQdI96j0tfu39ZPxPMOwya1v+IkzxYV1YsThEXsZMM+z9fFbfpJ0mrEe1RE5Hrgw4ACfwUuV1WzCLlYOFmyxKmPDfK87dJ73iKyEegGXMApZqf5shCGPCYS8w7fY8Im1U+YhBNL7hvzjttChoTJZhsFETkQuAZYrqpLABt4X2Wtqi3ETZPROKn43stMyxfzfouqHhk54QboDTzviYRNYklItUwJzzvy4u0F/QDjQ8RbRMhJEts1nvcYxIA6EYkB9cDU6SFVBiSIeScHxbx1wPM2q01GpXcSYRPwve9wHzVM5MXbzfqed3xI2AQgZ6WImfKbI6KqW4GvA5uAbUCnqv5y6HYi8lERWSUiq9raav+naDER1w+bDI55ayxJsvTrvBX4pYisFpGPlvJAJaGvHcSCuukTe3/DzCkh3pGPeXth/YjU8BoIjpXE9kzYZCREZDpwLjAf2AP8SEQuVtXvDd5OVW8FbgVYvny5cRcLwHIzwyYssVMkaae3tBOWJ6rqayKyH/ArEXleVR8bvEEg6h8FOPjgg0tpy7jMu+Hn+zz+Smw1b7MbOfbTD09sh/UzoOPFIlhW3UTe8w6TcIbGvAEcO0XcFAEajdOBV1S1TVVzwAPAmypsU01heRmyGttnqSCxZMlj3qr6WnC7E/gxcNwI29yqqstVdfmsWROYGCwhrdJNh06b+A6miOcdefH2wnXcQwpTAbh2irjxvEdjE3C8iNSLiACnAc9V2KaawvJyZCVOzJK9T8aSJMiRK5HnLSINItIU3gfOANaW5GAlYoZ0skubJr6D+pnQv8vvg1nD5CXeItIiIitE5HkReU5ETii1YXkTind8uHh7sRQJcuC5ZTaq+lHVJ4EVwNP4ywQtgvCIoTjYXgZHkvjfjT4STwUx75JFoPYHHheRZ4E/Az9X1UdKdbBS0Eo3HTRPfAcNs0A9P0uzhsk35n0T8IiqXiAiCfyVCdXBGOKt9qBu3YnhE5pTHVX9AvCFSttRq8S8LJ4V3+c5iaVKus5bVV8GlpVk52VipnTS4U1GvINVKn3t0DCjOEZVIeN63iLSDJwM3A6gqllV3VNiu/JGgg7dI4k3Yb0TkyJvKDeqxDSHa+3b4UniQczbZFiOSByHadJHh05CvOsDwa7xuHc+YZMFQBtwp4j8RURuC2Jp+1CpJWWWM3rMe6BBg+kgbyg3Qef4oY2xrcDzNoWpRmY63QDsmlTYJPC8azzLMh/xjgFHA/+pqkcBvcANQzeq1Oy15aZxscCOD3tNwvZTObPixFBmgl+Eaif2edpOBDFvx8zDjMQM6QKgfVKe96CwSQ2Tj3hvAbYEE1zgT3IdXTqTCsN202QlCYMmhUJkIGxiPG9DmXGzgJ9RORgraIXmGYdiRELx3lWUsElHESyqXsYVb1XdDmwWkUXBU6cB60tqVQHYbpqcJEd8zQrKxKqJeRvKTeB5e0PFOzgnPccsYR2JVnzxntRqk1gCUtNq3vPOd7XJ1cD3g5UmLwOXl86kwoh5aXLWyOItQefpXLqXxIhbGAwlwvE9b2L7npt24Hm7WeN5j8TMwPOe1IQl+KGTGp+wzEu8VfUZoCqrk8W8DI49sniHxaqy6T4j3obyEnjeMkS8w8fqGPEeiVbpIqc2XZNdjdwws+Y978hnWMa9DE64nnsIYY3vbFA21mAoG2FYZIh4hx3k1cS8R6SVLnbThE5WmqaA510T4u1aI4t3WKzKMeJtKDdBHXmJDTk3QzE3Me8RmSldkw+ZgJ+cY8S7ukloBm/oBRK+FnjeTsasNjGUmTBsEh8q3oHnbcImI+IXpZpEXZOQ+pnQ11HT9U0iLd6up6TI4o4SNonX+eId1vw2GMpG4Flbw8ImwexLznjeIzGDTjqYREXBkIaZoC6k90x+X1VKpMU747gkyaKjeN7JlC/eYbcdg6FsBOI9kCgWEpyrYtrzjcgM6Z5cRcGQsJdlX+2u9Y60eKdzHikZXbxTyQQZjeGasImhzIRhEXtozZ3AExfT4WkYCXI0Sx/tk6nlHTIF6ptEXLxd6siMWNcEoD5hkyFhknQMZcfJ+OdcLDHyapMwA9Owl711TYrhedd+inzkxTtFbvikUEBdwqafhKkqaCg7TtYPi9iJUTxvs9pkGEVL0IG99U1quDhVtMU765Iii4xUDhaoi9v0a9LUNjGUHSeYZxkm3kFCmWVi3sNoLaZ4D1QWNDHvqiST7ccSRYZeIAGpuE2axN6a3wZDmXCDX3vx5MgTlpZpzzeMGUFdk0mVgw2JJSHRVNNhk0h3j8+mfY/aGsXzTsYs0iRIOSZsYigvbjaNp0IiPjTm7T+2Tcx7GDMm6XkP7UL/aKKeZ/+0hmt/v/f5jV99x8QNrDIi7Xk7gXgP+2kaICJkJWk8b0PZ8XJpssRIDu4cD4M8byPeQ5khXWSLUdckYBdNA1UKa5FIi3cuFO/k6IOds5LYZlmWocx4uQwZ4sPF247hYWGbsMkwWukKQibDa/NPhA5tZoZ0F2Vf1UikxdvJju15A+QkaS4UQ9nRXJoMCVKx4ZdYThLYxvMexgzpmlwThiHs0mZmSGfR9ldtRFq83XAtbapx1G0cO0XceN6GMqPOKGETwLESxIx4D2OGdBWnrknALpqCteNatH1WE9EW78Dzjo8RNnHsFHHPiLehvKiTJaNxUvHhl5hrJYhpacVbROygYfjPSnqgItJK9+Q66AyhQ5tJiEsztblUONLi7QXLsRKp0cXbtVLE1YRNDOVFHD9skoyN4HlL6cUbuBZ4rtQHKSatRQ6bhKtWwvXjtUa0xTs7vnh7sRQJI96GcuNk/LDJCDFvz0oQL2HYREQOAt4B3FaygxQZv65Jf3ESdALC9eKt1OakZaTFO6xZYiVGF2+164jhgpsrl1kGA7jBapMRxNu1k8RL63nfCPwTMGoxaxH5qIisEpFVbW2VTyFvHUjQKV7MO4yfzzCed/UxUHBqlKqCABom8Jj6JoYyYrmZIOY9PGziWUkS5HC94k+kicjZwE5VXT3Wdqp6q6ouV9Xls2bNKrodhRIu6Stu2GRasG8j3lWHhH0AR8mw3Oc1I97DEJEWEVkhIs+LyHMickKlbaoVrDE8b89OkBCHnFuSLi8nAu8UkY3A/wBvFZHvleJAxWRvXZPirjYBajZRJ9LiHbaaGsvzHhBvkyI/EjcBj6jqG4BlRGyCq5oRL0uWODF7ZPFOkiVbAvFW1U+p6kGqOg94H/BbVb246AcqMq3FrGsSkCFBt9YNVCusNSJd20RCQR7D8w7rnmi2r0h5W7WBiDQDJwOXAahqFjCLj4uE7WZxrcSIr6mdJEmOrFO7/RULJQybtBcxbAKwS5vMapNqxHIzuFhgx0ffJpjMzJluOkNZALQBdwbrgW8TkYahG1XbxFZUsL0MzqjinSJJrlRhk73HUX1UVc8u6UGKxAzpJKc2XQw7BSdFB80D1QprjWiLt9NPVpJjbiNBAk+23zQhHkIMOBr4T1U9CugFbhi6UbVNbEUFW3O4Mop4x5J+zNupzcy/idBKN7tpolh1TUJqub5JpMXbdtNkR7lAQsLsy7B8rGGALcAWVX0yeLwCX8wNRSDmZfFG8byJJUsW844qxU6ND+mo4fom0RZvL4MzjucdC8Q7lzae92BUdTuwWUQWBU+dBqyvoEk1RUyzePYo52YQ8y512CRKtEp3UZcJhuyiuWbrm0R6wjLmZchZY4u3nfRjaEa8R+Rq4PsikgBeBi6vsD21getg4+GOJt4xM2E5lFa6WMe8ou+3Q5sG6psUO55eaSIv3m5ijGWC7E2dD8vHGvaiqs8AyyttR80RLGFVe+SwicRSJMUh5zjltKqqmSFdtHvTir7fwYk6XVpb4h3psEncy+CM43kngnKxrvG8DeUiaHGmo3jeEvcdjlzW1NwBiOMwTfrYVYKYdy0n6kRavBOaGT2uGG5T53/bhkWsDIaSEyaPjSre/vOuOScBgph0cRN0QkLPuxYTdSIt3nHN4tljh01SdX7YxMuZsImhTIRhk6HNhwPsIHHMzZo68zD5xsNjEa5gqcVEnciKt+N6pMjixcaoawLUJeOkNY4aL8dQLpwgUXWcsInxvH1CYS1N2MT/QqjFRJ3Iinfa8UhJFh2rrglQF7fpJwnG8zaUi8DzllHOTTuYZHdzxvMGmBGETYrZRSckS5wuravJyoLRFe+cS5J8xTthqgoayofjT0Rao4RNrMDz9ox4Awwk0ZTC84YwUceId9WQzrmkyCFjlYMFkjGLtCb2TiIZDKXG9cV7tHMzljDiPZhW6cZVYQ+jNxKfDLtoNqtNqol0zo95Ex/b87YsISNJLFMS1lAmvGAicjTPO5YIKl0a8Qb8ePQumtASyVGt1jfJ+9Oqtm7U6UyGuLjjet4AOUlgueZCMZQHJ5iItEfzvJP+88bz9ilVanyICZtUWTfqXMZPurHyEO+slcI24m0oE7nA87ZHyf4NPe8wNj7VKXbX+KF0BPVNZPSWnpEkL/Guxm7UuaBKoJUYX7wdSRrxNpSNAc87Mdo6b/95NfMwgB826Shi4+Gh7NJm4kF9k1oiX8/7RqqsG3Uo3nZy9M7xA9vaKWKe8XIM5SFMvoklRj43w3XexvP2mVFqz7tGu8iPK97V2o06l/G9m9EukMG4Voq4Z7wcQ3kIk2/iydGqCobibc5J3Bwt0luS7MqQDoLiVDW24iQfz7squ1E7QVuzcPJnLFw7Rdx43oYy4Yzjee8Vb9MylL5dQGkSdEJ21WiK/LjiXa3dqN1gwjKRGr/MoxtLkVQj3oby4OX8cy0+WrnimO+RW645J+lrB0qXoAPQXqPFqSK7ztsN6nPHUuOHTYilSJAFrb1uGobqQ3P9ZNUmmRilMXZQ80SMeENvIN4l9Lx312hZ2IKaMajqo8CjJbGkQDT4aZrIQ7w1XoeN59dZjo1dQtZgmCxeLk2GBKm4PfIGdgwXy3jeAL3+4oZSxrxzxOjUelprLFEnsp63F3je8TxWmxBWHjT1TQxlQHNpMsRJxke/vLIkSiLeIpISkT+LyLMisk5EvlT0gxSTvg6gtGET8L8cZtZYI+LIircGQpxPhiVxI96GMuKkSZMgGRvF8ybI+vVKMmGZAd6qqsuAI4G3i8jxpThQUehtw1UZCG2Uig6aacV43lXBQILDOPW8ASQedJDPmFZohjLgZMhonNQYnrcj8ZKIt/r0BA/jwb/qnezp2ckumvFKLEW7ajBFPrLiTVgXYpzCVLA3CzPTb8TbUHrE6SdLfFzP2y7R8tWgDtEzwE7gV6r65AjblDWpblR62wZWg5SSWqxvElnxlrBKYHz8mLeV9JcTZvt7xtnSYJg84mb8mHdsDM/bShArTdgEVXVV9UjgIOA4EVkywjZlTaoblZ4dtJVDvIP6Jni1U98ksuJtO/24WGAnxt02TOTJpmurtoGhOslLvCWBXSLxDlHVPfirw95e0gNNhp422imP5x0TD9J7Sn6schFZ8bbcPtKSApFxt40FnncubcImhtJjuRkyJIjZ43jeWnzxFpFZItIS3K8DTgeeL/qBioEq9O4sS9hkoHZKsK68FoiseMfcNFkZP94NEEuGE5bG8zaUHsvN4lhj/yL0rATxEog3cADwOxFZAzyFH/Ouihr8w8h0g5OmvYRrvEPawySg3grG94tMQUk61UTc7Sdr5Sfe8SCF3jWet6EM2G4aR/YbcxvXShLX4k+gqeoa4Kii77gUBELapi0lP9Rez7t2xDu6nreXJpeneCdSfm8813jehjJge1ncceZiPLtknnd06NkJUJaY98CkaHDMWiCy4p300jh2Hgk6QLLeD5u4OSPeQ6m29na1QEwzeNbYZRg8O0lcnTJZVKX07AAoT8ybJhy1Bo5ZC0RWvBNeP46dn+edDDxvz3jeI1FV7e1qgZiXxR3n3PSshF8sbSoThDDKId6K5Xv4PdtLfqxyEVnxTmoGN5ZHXROgrq4OT2Ugpd7gU43t7WqBuGZRe2zPW2MpEuTQqVzpsmcnIOwqcWp8SJtOM2GTSqOqpDSNl2fYpC4Ro5+EEe/h3EiVtbeLPJ5LHAcdp3ql2gmS5Mi5U1i8e3dCw0xcRs9ELSY7dboJm1SanKvUSQYvn6JUQCpukyaBGPEeoFrb20WesC/lOGGT0PPOurWT8VcwPW3QMPaqnGLSptOg24h3RenPudSRQfMMm9iWkCYJjhHvQVRle7vIM1AwbZy68XaSpDjkclN40rJ3JzSWzyFoo8WPs3tu2Y5ZSiIp3pmcSx1ZyKP58MB7JIllGr4OUK3t7SJP6HmPVzAtEPdsZgo7FD07y+p579QWUHegb2bUiaR4p9Np4uJCfPz+lSE5SWC5RrwNJSZwEKxxxFuCJsS5qSreqr54N5YzbNLi36mRFSeRFO9Mv19U3SrA885KCtuI94io6qOqenal7agFwknxccU77nveTnaKine2xw9jllW8w0Sd2oh7R1K8s0FdbsmnBVqAYyWNeBtKThgGCWvIj0boeTvZKXpOhkv2yhk2oWXfY0ecSIq3k/Y9bzvZmPd7cnaKuDdFLxRD2QjLDtuJ8Txv/3V3qnreYY2RMk5YDiQDdZuwScXIBU0V7AI8b9dKGvE2lJzQ846NE9ILwypOZoqek6GANs4u2yH7SUGiyXjelcQJelHaqfw9b9euI17i4vcGQ+h5hw1ARiP0zN2pmnsQinfTAeU9btP+ZsKyknhZ/wKJFyDeXixFQkvTM9BgCHEy+Yl3GDbxpmrMu/s1vwtWfWt5j9u4v/G8K4kTTFgm6vIXb42lSGLE21BawtUj8XHCJrFgQtPNTVXx3g5Ns/PqhFVUGvczq00qiZfxY96p+kLEu54UWX99qcFQIsIYdrJunLBJ4Hlrboo6FN3byh8yAT/GXiMp8tEU7yBskqovoBpZuO7WZFkaSkjY8CMxTkgvDKt4U7VkQ+h5l5vG/SDbDdnod9WKpHjrBGLexP2fsY5phWYoIaFjkagbO/s3nLCcup739gp53vv7tzUQ946keJMLBDie/1JBCWKM6WCZocFQCjTbi6dCMjX2uRkPPG91pqB4Z3og01UZ8W4KxTv6oZNIirfk+nCwITZ2n8DBhOtu0/3G8zaUDi/bTz8JGpLxMbdLhBOaU3HCslLLBGHvuvLubeU/dpGJpHhbuT76yK+Wd0jYQb6vt7sUJhkMPrk++knSkIyNuVksGZSMLfIcjIjMFZHfichzIrJORK4t6gGKQSiclYh5N8/xb7teK/+xi0wkxTvu9JC2ChPvZBCD7O8zYRNDCcn1kyZBIjb2pZUI14EXP2ziAP9XVQ8Djgf+QUQOL/ZBJkUlPe+66X641Yh3ZYg7vaSt/MvBAiSDlSkZ43kbSojk+sjIOI0YADsWJ6c2uMUVb1XdpqpPB/e78ZtLH1jUg0yW7kA4K+F5i/jed9fW8h+7yERTvL0+snb+k5UAyQa/KE2ur6sUJhkMAFhuPzkZpxEDICJkiZfC8x58jHnAUcCTJTvIROje7tfiT5an8fAwmucYz7tSpNxesnZhnnddUwsATn9nCSwyGHxsp5+sNb54A2QljhTZ8w4RkUbgfuA6VR3msVS0sXT3Nmg+oPzZlSHNBxrxrhQp7ScXK0y8G5qnA+CljedtKB22m8YZp/lwSI44UoKkMRGJ4wv391X1gZG2qWhj6Uqt8Q4JPe+I97IcV7yrcfa6XvtwCxTv+sYWALy0iXkbSkfcS+Pa+U2m+635ilvpUkQEuB14TlW/UdSdF4uu1/Ymy1SC5jl+L8uIJ+rk43lX3ex1vfbjJQrIrgTseJK0xpGMEW9D6YhrBjdfz1sSiFf0sMmJwAeBt4rIM8G/vyv2QSaM5/niPe2gytnQHBw74qGTsRej4s9eA9uC+90iEs5ery+xbSOSc1waSOPFCxNvgD6pR7JmqaChdCS8DBrL0/O2ksSK3JpPVR8HKhRMzoPeneDlKize4VrvrcAxlbNjkhQU8x5r9rpcEyB9vV1YougEZqr7pQ47Z8TbUDqSpNF4fuKdsepIeFOsMNWezf7ttLmVs6E5WDkZcc87b/Eeb/a6XBMgmR7/0NYExDtjNxBzjHgbSkdKs5DIbz4ma9eT9PpKbFGV0RmId0sFxbu+Fexk5Nd65yXe+cxel4t0724ArEIqCgZk7AYSjqltYigNmUw/cXGx8iyYlrPqSU41z7tzi39bybDJQKJOjXve1TZ7nQ2SbKy6aQW/NxdrJOkZ8TaUhv4e/1ddWMFyPJxYPSmdYoWpOrdAshlShV+/RaX5wMh73uNOWLJ39vqvIvJM8NynVfUXJbNqDHJ9/mqRWKrwsIkbbyDVO8U8HUPZ6O3tpgWwk/l53k6snjqt7fNx3g0/3+fxf8dXMVem8fYhz5ed5jmw6YnK2jBJ8lltUlWz17m+PcDedPdC8OJN1OsUizEaykamz8/ezdex8GIN1JP2l89ZkcyXK5g50s5WnVlpM/yY+9r7wXXAzseHrT4id8bk+v2wSaqxcPHWZCON9JNzvWKbZTCQ6fXPTbsuP/F248HEZm7qhPLmSAev6YxKmwEth/iJOhEOnUROvJ1+P2xSH9QqKQRJNpGUHD09U+diGY1qzJyNOtnA847X5+dYaCDempkaK6DqSTNdenitGjzv6Yf4t3terawdkyBy4q1BYamG5sK/va1UMwC93XuKaVJUqbrM2aiTCzzvVENLXttrkCWc658aWb9zpB2gSsImgXjvjq54Ry7YY6V3k9Y4qbrCSsICxIM4eU/XbqCC60yrgGrLnK0FQs+7Id9fhUnf8871d5F/Q7/ocqB0ALC1gmGTcAI1hsMLSeGWB37NN+5rHXh941ffUSnTCiZynred7aRLGpEJlJNMNfmD1NvVUWyzIk01ZM7WAmFIr6E5v7CJBIlmuSnSFPsg8c+favC8HWJsYwYHS3SLU0VOvOPZLnql8AQdgLpmP/Mz3dleTJMiTbVkztYCblD0rC7PlVAShk2mSIOQQ2QHaY2zg+mVNgWAzd5+zJXoOiTRE+9cF732xDpwNE7fD4BcjxFvqK7M2VpA0924WEie6fFhlrA7RcoUHyI72KT7oVUiO5vUiHdZSTndpCcq3i2+5+j27iqmSZGk2jJnawHJdtNPXd4dYuxgPfhUEu9XtQJ9K0dhs85iP9lDkuLWVC8XkRPveq+bTKx5Qu+16/2fa9q3u5gmRZXqrvscQaxcL2krv9R4gHiwHtybEksFNRDv/SptyACb1XfmDoqo9x251SaNXje5xMTEm1iCXuqw0ka8qy1zthaI5XrIWPmvgkrWh5537Yv3fuyhTrJsrCrP2/8iOVh28pIeWGFrCidanrfr0EA/bnLiRW16rSbi2T3Fs8lgCIi7fQX1Vq2vqyOj8SnRmu8Q2QH4ceZqIRTv0LaoESnx1vQeALxky4T30R9rJpEzHeQNxSfp9uIUIN4NiRg9pNAp0JpvnrUdoKo87zam0aV1LJBtlTZlQkRKvPuCJX52fcuE95GJt1DnTI2lWYbyoaqkvP6C2vM1JG26tB4rU/vn4yGyA0et6qhrMoDwss5hgUSzrnekxLtnl//tbTdNvPO0k5hGo1f7no6hvHSlHZqlFy2gTnVDMkYnjdiZPaUzrEqYJzvYqjNxqmya7SU9gEMt43mXnPQePzaVaJ543Myra6GZHvqzbrHMMhjo6MnQQg/S0Dr+xgHJmEUnjcSztR/GO1S28mIVTgq+7M3hANnll+aNGJES72ynL9510yceN7MbZtBCDzu7arsIvqG87Orsok6yxBvyDwuICD1WE4kaD+PZuCyQbWzQCrY+G4WX1O8kPz+Cce9IibfT7dchaGydeNgk2bwfMfFoa4tuTQND9dG92z+fkgVWu+yzmkgVWbxF5A4R2Skia4u64wlysOwkKQ4bvCr0vPUAAA6NYNw7UuJNbxt7tIGWponVNgGom+4PVlf7lmJZZTDQu8dP9KifVlj9l3SsiTq32++mUzzuAt5ezB1OhoXiX2sbqjBs8qruj6sSybh3pMTb7m+nQ5tpqYtPeB9Ns/yfbuld0e2gYag+0kGlyoaWwuZjMvFpWCgUccWJqj4GVE0NiNeJf62FIYpqIkOCLTrLeN6lJp7exR6rhZg9cbMbWv0TKLtne7HMMhjI9fjiHW/Mf8ISIBcPVqf0lzfrt5ylfhdaW9miM+kl/9IB5eRvOpc3yKZKm1EwkRLvumwHPfbEsysBpMmf7NQeI96G4uGFxc7qCit36iQrI97lLPW7ULbyYhXGu0PW6yHMl22RK1AVKfFuzrXRnZhkem2yibQkifWZCUtD8fD6JibebpgtXGbxLhc2Lq+TrVUZ7w5Z7x2MLcoi2VxpUwoiOuKd7qRe+8jUHzC5/YjQHZtBXTqalcQM1Yn078aROMQLa8/n1gWrU3prs8b8ofIaKcmxzptXaVNGZb36/SwPt6LVzzI64t3pz1i7TZOf9EgnZ9HktON5Oul9GQyO61GfbacvPiPvWt4h2hgsey1iGE9E7gVWAotEZIuIfKhoOy+QJfIKAGt1XqVMGJctOotureMwiZZ4V1eu6hhkOjaTBKyWgye9L6d5Lgd2P8H2rjRzWqpzEsUQHXZ2Z5jJHrJ1hYf06hpb6NY66va8VrSLUVUvKtKuJs0SayN9muTlKlxpEqJYPK9zOcyK1qRlZDzvnp3+N3hq5iGT3ldsxnwOoINXd9RmnNFQXl7b08/+shttKjzzt7UhwU5tIbcnekvV8mGJ9Qrr9RC8Kpea9d4hHCabir3evqRU9yc6iHT7q+TUpmXW5FNsGw94HbYobVtfLoJlhqnO1kC84y2Fz8dMr4+zU6fjdUcvSWRcPI/FspG1VRzvDlnjHUqT9EP7C5U2JW8iI97sfoWtOpP9WwqbEBqJaQcsBKBvx4uT3pfB8Fr7blqkl/rWwkMDLfUJdtCC1RPNhgBj0v4CDZJhrc6vtCXjslp9TWDzk5U1pAAiI951uzewQQ9k9rTUpPdlzfBPplzbS5Pel8HQHvyCS7QWPh/T2pBgh04n0bcDtMYm0DetBOApb1GFDRmfjTqbDm2CzX+utCl5Ew3xdh2a+1/ltdhcmlITT40foHE2aauO5B7jeRsmTzZ0AqYX7mG21Md5TWdiexmoNe970xO06TRe1YkXkisfwtPe643nXXR2bySmDl1NhxZnf5bFnqbXc4jzMh09meLs0zAlcT0l3rnRf9BauHhPr0/srfnRvqF4hlUDr67kz94iotLnerW3EDpehN6OSpuSF9EQ753rAPBmFu/nl+5/BIfLq6zduqdo+zRMPV5p7+VA3YFj10Fj4R5m3LbYXTfPf9D+t+IaV0k6t0DnJlZFIGQSstp7vX9n058qa0ieREK8+19eSUZjNBy8rGj7nL7gaJqkn789XxUljw0R5elNu1koW3CmH1pwgk5IfPqBpCVVW573K48B8KR3WIUNyZ9n9HWQaISXfltpU/IiEuKd3fgEa3U+h88tXgGd1II3AZDe8Pui7dMw9Vj9yi6OsDeSnHv0hPcxZ3o9m+RAaHuuiJZVmA2/hMbZA6nnUSBHDOafDC/+OhKTx9Uv3n27aGpfw0rvcBYfMLmKgvsw6w10J/ZjQecTtJu4t2ECeJ7y/N/WMZ1u5IClE97PnGl1rHbmo1tWg1cDvVVdx/deF55OVOLdA7zuNNizCTqqfyVa9Yv33x7BwuWV1pOYVl+ElSYhIngL3sJJ1hp++pRZdWIonL9s3sMb+p72H8x784T3M39WAyudRUi2G7avKZJ1FWTLU5DuhNe9rdKWFM7rTvdvN/yysnbkQXWLtyq5J2/jFZ3N7MNPLPrup51wGc3Sz44/fY90rgY8HkNZuftPGzkrthqv+UCY9YYJ72fpgS380VuCJzas/0kRLawQ6x8COwGHvqXSlhTO9Hkw+whY90ClLRmXvMRbRN4uIi+IyIsickOpjRrgryuIb1vN7c5ZnH/M5AtSDePgE+hpXcxl2Xv5z4dXFX//VU7FxrUG+OOL7axds4pT5C9Yyy6a8GQlwKLZTXTHprOh6Y3wl+9CpruIlpYZ14G198Prz4RUEcOc5WTJ+f6vh90bK23JmIwr3iJiA7cAZwGHAxeJyOEltaq3A/dP38Z98B942ltI9+IPsGDWxJsOj4oIjed/i1nSxRmrPsJ37rqTdVvacdzoFKeZKBUZ14ijquzsSnPX4y/ztXse4Na6WyDVDMd9dFL7TcQs3nbY/vxL99lobzus+BB0RrTH6iuPQu9OOOLCSlsycRa/279de39l7RiHfKpQHge8qKovA4jI/wDnAuvzOcCT37yU2btXYamHoAgeFh6i6t+iWAPPKzYOTfRjA39wl/CdmZ/mW+cWb4ngMA48Gt73A+av+BiLN16H+9/X08E0cpJAxcLFRsNJFwmnX6pzEqbr1H/hiJPfle/mkxrXJ773RQ54eQWwd1Zewvvq31f2/aQGXh/hPTLolYHn9pnx33e70fc39LV97w8/bh7H0L2vJ4ALcLnMSuPZDcgF90DT5DMIrzzlUM5/bgf/Yl3OpzfcTew/DqeLJrqlga2HXcFxF35y0scoC0/fA6kWWHhGpS2ZONMPgUPeDKvughOvA8uutEUjko94HwgM7g+0BXjj0I1E5KPARwEOPnhviMObdjDtmT0gFioWIP5t8Fjx7yN7n+9MzGZr81Hs/4Y3cfeS2ZNqOJwP9hveTv0/rqNz7SNsf+HPpPdsx81l8dwclrq+EA0SkmpdRNRYX9DP1EmNa6x5fzrqFwDs/XLz3zD43QOvh0/rIHkN/x+QYAmfkwHhV5FBwr7ve4cfz38tfM/gL4/QhpFslfD1Uf+WvV/ejck4+zXX0TBvCdZh74TG4ixfPeKgafzoYyfwwNNz+fLut3BEzx+ZkdtGvdtNrHmS3aPKxe5X4bmfwpuuhvjkaxBVgnk3/ByAM63l/FficT722X/hf71j99lm41ffUQnThpGPeI/kZg7TL1W9FbgVYPny5QOvn3DJv0zYuLKSbGTaMRcw7ZgLKm1JuZjUuC5/51XAVSUzbiqybG4Ly+a2AEuAd1bYmgmw8luATDqMVA38ylvOZm8WV8Z+yv9ml1ONv7bzcWm3AHMHPT4IqM3K8VMLM66G4rHrZVh1Jxx9CUybfM39SuNhcbP7Lo6yXuQsqzorDebjeT8FLBSR+cBW4H3A+0tqlaEcmHE1TBo/zKDcFf8ax1kWp/xxOW1//HmlzSoK97sn8yH7YT4d+wF/yB5BD5PvJVBMxvW8VdUBPg78L/AccJ+qriu1YYbSYsbVUCwusX/Jqfaz/JtzEW1Mr7Q5RcPD4tO5DzFH2vnn+F1U22xXXj1PVfUXwC9KbIuhzJhxNUyW06zVfCF2D792j+J77umVNqfoPK2v52bn3Vwfv59Xvf25yT2/0iYNEJnu8QaDoYpQhadu47/i/8E6ncc1uav9lWM1yM3uuzhI2rg+fj/TpRuc0yGWrLRZNfppGwxTmJJmzqrCi7+Bu94Bv/gEj3tH8P7sZ+gjmksD80GxuMH5CLc67+Cy2C/h28fDmvvAqWxBO+N5Gww1xKDM2bfhryh6SkR+oqp5JV8BkEtDpstP0093Qs9O6NgA29fCy7/z27U17Adn38jlK2bWrMc9GBebrzgf4A/eEXzX+jE88BH4+Sdg/kl+ol/roTBtrl8SIDUNko0QS02qbMJ4GPE2GGqLSWXO8pfvwUP/MOJLbdrME97h/No9n4fTbyS7oohVPiPCH7ylzN+yhDdZ6zjHWckJ6//MIc//bOSNl38Izv5GyWwRLUHRcRFpA14d9NRMoL3oByottWDzIapatA4WZlwrRt7jKiIXAG9X1Q8Hjz8IvFFVPz5ku4HMWWAR8ELRrS6MahqXStlS0PVaEs97qAEiskpVl5fiWKXC2DwcM66VoUCbC86crQaqaVyqyZaxqP1glcEwtTCZs1MEI94GQ20xkDkrIgn8zNka6PBgGEq5Jiyr5udZARibq+94xaCmbVZVR0TCzFkbuCMimbPVNC7VZMuolGTC0mAwGAylxYRNDAaDIYIY8TYYDIYIUlTxHi8tV3xuDl5fIyJHF/P4hZKHvaeKSKeIPBP8+3wl7Bxi0x0islNE1o7yetE/46iNa2BTpMa2EuNaSUSkVUR+JSIbgtsRyxGKSIuIrBCR50XkORE5oRJ2BNvaIvIXERklK6fMqGpR/uFPjrwELAASwLPA4UO2+TvgYfy1qMcDTxbr+CWy91TgZ5WycRS7TwaOBtaO8npRP+OojWtUx7bc41rpf8DXgBuC+zcA/z7KdncDHw7uJ4CWStgRvP5/gB9Uy3lTTM97IC1XVbNAmJY7mHOBe9TnCaBFRCrVoC8fe6sOVX0M2DXGJsX+jKM2rhDBsa3AuFaac/GFmeD2vKEbiEgz/pfa7QCqmlXVPeW2I7DlIOAdwG1FPv6EKaZ4j9TQ9sAJbFMu8rXlBBF5VkQeFpHF5TFtUhT7M47auEJtjm21fcaTZX9V3QYQ3O43wjYLgDbgziBccZuINFTADoAbgX8CvCIff8IUc513Pmm5eaXulol8bHkav95Aj4j8HfAgsLDUhk2SYn/GURtXqM2xrbbPeFxE5NfA7BFe+kyeu4jhh5KuVtUnReQm/NDG58pph4icDexU1dUicmohxy4lxRTvfNJyqyl1d1xbVLVr0P1fiMi3RWSmqlZLAZ2RKPZnHLVxhdoc22r7jMdFVUdtrSMiO0TkAFXdFoR/do6w2RZgi6o+GTxegS/e5bbjROCdwZd8CmgWke+p6sWF2lJMihk2ySct9yfAJcHM+fFAZ/iTpQKMa6+IzBbxC/KKyHH4n1dH2S0tjGJ/xlEbV6jNsa22z3iy/AS4NLh/KfDQ0A1UdTuwWUQWBU+dRr6lbYtrx6dU9SBVnYd/Lv220sINFG+1STAb+3fA3/Bn+j8TPHclcGVwX/ALxb8E/BVYXsnZ2jzs/TiwDn+1whPAmyppb2DTvcA2IIfvmXyo1J9x1MY1imNbiXGt8N87A/gNsCG4bQ2enwP8YtB2RwKrgDX4oa3plbBj0PanUiWrTUx6vMFgMEQQk2FpMBgMEcSIt8FgMEQQI94Gg8EQQYx4GwwGQwQx4m0wGAwRxIi3wWAwRBAj3gaDwRBB/n8VRg/WYbhlSgAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 432x288 with 3 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 3 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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5ciWdnZ3D72UyGZ5/3l0IvqWlhd273WwLv+Pa29vp6+vj7rvvroq96rgealZiRLGxK5TWeN99973R2dm5JpvN/mHbtm1rLrjggr5aGStRLwSVEs9Dsff21uutXw3F0dbWxvTp03nssccA+J//+Z9hr30y7KxNnxNnzaZe+lNZXtnez9aeIVpbmnh1R5oXX3yRJ598csJj9Pb20tTURFtbG9u2beOBBx4Ysf3OO+8cfjz22GOH3//hD3+I4zi89tprvP766yxevHivY59wwgl8//vfB+Dhhx+mvb2d1tZWfvSjH9Hd3c2jjz7K1Vdfza5du/L6f31CH345+OCDuf322/mrv/orFi1axFVXXcVpp53G1VdfTU9PD9lslmuuuYYlS5YMD3A0NDTwxBNP8OEPf5hDDz2UBQsWcNRRR1XFXrWzOCoQiRFxBhiskKdeyzjDF7Y4aMq7exl5C1pv/Woonttvv52PfOQjDAwMsHDhQr7zne9M/iF1sHAYIDHi7eNOOpnb/ucOzjvlOJYvPYSVK1dOeJjly5dz+OGHs2TJEhYuXDgc8vNJpVIcc8wxOI7DHXfsGaZYvHgxJ554Itu2beNb3/oWyWRyr2N//vOf57LLLmPZsmU0NjZy++2309XVxXXXXcdDDz3E/PnzufLKK/n4xz/OJz7xicn/Z49JC3oVy7PPPrt++fLlI5I+gwi/1Bv2jvXYg7uxE63EU7voblnMrNa9vxClsHbt2oGlS5e+kPves88+2758+fIFk322Gv26Yet25jub2GHNYIazA2YeBImWsh0/zIzu21rq16qS7oeul3nTmUUPe0IerQywwNrGq85cDpo3u6Qm/EVE2tvbR7x/6aWXctZZZ3HeeeeVdPxcCvnNhj78Unc4NjYWYkWwcLCnXrod4nnqjsTcN7RyM2sNISUzAMDgKE99yLvjS0p6r4+EhdCHX+oOJ4uNRcyKIALqTD1BEy/zxbGiYAOeyBsMeZNNYauQHiVxaaLYKsPzIEph/fr1Y75/2223lXzsUjCeeq2R46n7r6ca4nnmGvHi6Dr1zoGhRDJDpBg7FTBFvCyiXqsYUa8xREeKuk4xUXdUsfDuTiw3/DLVzoGhDGSHSBEbc9MQcRKEt1icEfVaQx0cLCzfU59iXqrjKBHccyBWBEeNqBsKxLHByUwg6jFiYo+ZKhsGjKjXEqqIL2gRX9SnVkzdUVfUVSwiluBgGVE3FEbWnYuQ0rHDL2n1xH6cEhT1jhkorSDjpTyNiyoCIz31KSZojuKGXyRCxBJsLKI1dg4K7tc6ZMF1PzvSffZGWY63/oYzJ96+fj1nnXUWa9eunXC/XG677TZOPfVU5s6dO3JD1hXroXE89WEPPpuiecZs+vr62Lx5M1dfffXwZLQLL7yQ559/nssuu4wzzjiDCy64ABHh7rvv5sADD8zbxiAwnvo4BFJL2vfKxQJxRV3y9NTDUvvacbyYulhY4nrq5byw1dt5qjd7q8m4JZU9UU+PI+oZou6aGTme+ty5c4cFfevWrfzud79jzZo1XHvttfzkJz/hnHPO4Y9//GPNCzqEWNQrVsrzz/+cRYsW8dnPfna4rbKV8jzwQD75xa9xxplnc/Sxb+fVN95C1C57Kc8bb7xx7G97DeAOlKon6u5di+Zc2OqyX2u0RGutMVY5ZaDwksrHnMQVn/wSzhhzPDa+9SYfOOc0jjrzIv7fF748/H7uwiunnnoq27dv57DDDhuuCHnzzTfzjne8ozonokSqE34JUynP1auZMWMGBx54INdeey0zZ87k1ltvZcaMGeUp5dncxAMPPMAvf/ELrrn+q9x8+/8A5S3lecstt5Rn6L8C/RprX4J9xKWuqFuCjew1rlCX/VqDJVprjdHllP/rv/6Lj3/841x11VWFlVTuepmLPvYJHvn1g5x0yhkj2viX66/jfRddzsfPP5Hb/+cHY9px7733ctZZZ/HMM88AbuGt5uZm/u7v/q6i/3+5CK2nDvmX8nz00UeHPzNhKc8lS5gzZw6JRMIt5blhAwBf//rXWb58OStXrhwu5TkRd911F0cccQSHH344zz//POvWrRveduG5p6NiceGF7+eJ1c9hoajmX8rzoosuAsYv5XnrrbcWXMqzmihe+MXywy+yVwiqLvs1p0RrbiXJqdKv+TC6nPLjjz/OSy+9NFxS+bDDDuOf/umf2Lhx7GXpfvvb33LMMcdw6PFn8pvHn+K1l1/ca59nVj3F6ee8lzQxLnrv6RX9f4KiOp56WEp55hzPsiyy2SwPP/wwv/71r8tTylO90ptigQgigoWDomUt5Tlv3rxJz0NeVKBf+/tStPS8jOSEXxiVU1x3/UptlmitNcY6F6paWEnl3z/N/OgOPv8f32NbauzsFhF3pml0nFr99U6oPfWxKKWU51j09PQwffp0Ghsby1DKU7nz3l+CWNx5552sPHIZgoKWt5Rnb29trNM4Fo6q+z+P8NQnr39T2/1amyVaa43R5ZTf/va3s3jx4sJKKk9vpa9/gLt/+vMx2zhsxTE8eO89pDXG93/0wJj71DtTMqWxqFKe43D66afzrW99i2XLlrF48eLSS3mm05x5+qlELIvvff0f3PAL5S3l+eUvfzl+3333Ff0/VxI/pVEkMizq+ebq13S/1mCJ1olYf8OZq6tdpXF0OeWPfvSjxONx7r777vxLKh92JAvmdnDUiiPHbOPvv3ADn7rqw/zglm/y/jNPqNr/Vk1M6d0aYsH++7HqZ7eRmbOCOTNbsbeuo8+OcOWnvsQ57z67bKU8a7n07pZdg8wZeBGa90Fb9qFz83o6ZBcy5zAYdXteLwRZorVW+rVq9HdBzwaYtYQ1WwfG3S1GloOtDdA2H5pqf76BKb1b71hut6hY3kDp1Cm/qzm5+iKCYuFK+dQ5B4YSsNOAu8jMRGT9IIUdvsJeUzL8UqusX/s07N7CFn89TrGwsPnWt2+hOVmzqeXlJXcCFqC+dz7GOqX1Qq2WaA0l2bQr6JPc1SlAJA52+Ap7VfJX4jiOU5/3ywGh6rgxZWuPqAvue5XE66d8i8xUtl9Hifrw4xSrgVMOaqpfq4WTdsU6HyKxuvXUJ+rbSor62s7OzrZQfFGqhDq2W8zLO2PihV/GmhlXLhzHkc7OzjYg36Ible1XX7z9EJT/FZ2Ci4WUwnj9KiLTRORuEXlRRF4QET8VJxy/VzszaehlGCtel6I+2W+2YuGXbDb7oa1bt968devWpXgXj+7u7r1yUQ170IFunPQQgw0W3YkoTn83TmaIdJfSGC9fV23dujVq27Y/OuQAa7PZ7Ify+Wyl+7Vndx899g7oUohtpae3h11OD+yw8vfApjA5fTtev34NeFBVzxORONAIIfq97trkrme7dZBtOyeev/BCMgWp3dAtNT8IX8hvtmLZL2OxYsUKXbVqVdXaqzcG7riMrS/8jqfP+hUXHL0fAz++hqFnfsgDf/Y7PnDM/mVrR0RWq+qKch2vnP36xW98m890/h1cfC8sPJEv/8c3+FT3p+HyX8J+x5SljTAzUd+KSCvwLLBQ8/jh193vtb8bvrIQTr8BVn6UBdf9bMLd1//5Zvj538HfvgwtpS1CXWkK+c3W58hTSNHMICliJGNuhcZIopEG0gyma6v0bCWxsl4aWtydUSnxBvd1pj8gi0LFQqAT+I6I/FFEbhaREVNtReQKEVklIqs6OzuDsbJYdnsVG1vm5Ld/677uY8/YZQfqFSPqNYSTGfJE3e2WaKKJBkmTyoRzOvNYRGzvljnmirl44k5m8lIAhkmJAkcA31TVw4F+4LrcHVT1JlVdoaorOjo6grCxeHq3uI+tcyfez6fNK5fRa0TdUCmy7mK5Cc9TtxKuoGWGpo6gRbxVa3xRt4yol5ONwEZVfcp7fTeuyIeDQj11f7/dWytjT0AYUa8hNDNESmMko94CGbFGAJxUX5BmVRXL8Yowef+75Ydf0ib8UiqquhXYICJ+gZmTgXUTfKS+6N0CCLTsk9/+jTPBioZO1EtKqRCRa4EP4ebyPwdcpqrjl7IzTIhkh0jRSGvcW8rO81bt9PjTncOGZXtfn6hbOTEy7KlPnXNQYa4Cvu9lvrwOXBawPeVj92Zo6iggpdGC5tlG1H1EZF/gauAQVR0UkbuAC4DbymTblEPsFCnahmPqvqg7U0jUI46XNxx1C1tZCddj12yK2k46qw9U9RmgbJlPNUXvFmjNM/Ti0zwb+sIl6qWGX6JAg4hEcfNdx1gw0JAvrqjvCb/4IQidiqIecT31aNx9zKZNTN0wCbu3QEueg6Q+LXNgd/3Xos+laFFX1U3AV4G3gC1Aj6r+cvR+dZ0iVWUsO+XG1L2BUj8EoZnqRrRE5FoReV5E1orIHSKydz3YChF1UmQlNjyjNBGPk9YIdsqIumESejfnn/ni0zLbvRiEiKJFXUSmA+cABwBzgSYR+eDo/eo6RarKWPYQQ8T3hF+8EIRmqyfqOWG1Faq6FIjghtWqQtRJY1t7Zo4mYxYp4tgm+8UwEZkhGNxRePilZY77uWz9lQsYj1LCL+8C3lDVTlXNAD8C/rQ8Zk1NInZ6xOQjYq6oS3bsZbkqSCBhNdtRYprGtvYsL5eMRkgRw0mb8XfDBAynMxboqTd7M0n7whOCKUXU3wJWikijuAUiTgZemOQzhvFQJaquqCeiIz117OqJepBhtXTWIUFmlKceYYg4TpVDUIY6o2+7+1jodH8//TFEGTClxNSfwp288AfcdEYLuKlMdk09PG/cthJ7iij5GSBVFPUgw2rprENCMtiRHE89ZpHSmBF1w8T4ot40q7DP+aIeogyYkrJfVPV6Vf0TVV2qqhepatXjBKEh68aMcwXNHygdzt2uDoGF1VJZmwQZdISoR0gTq/pgsaHO6PfuFpsKdDCajaduqBSep+5YuaLueuqR6tZ8DiyslvLCL06OqCeiFiliwxc9g2FMhkW9wPVGm9rdhViMqBvKjpfhomN56k71vNQgw2pp2xnTU3dF3dwEGiagvxMaZuQ/m9THioRuApJZo7RW8ERLozkp4VF3RunwhJwqoarXA9dXtVEglXFISBqi04ffS8YsujU+fNEzGMakb3vhoRefkJUKMJ56reDlYY8Q9UgUh0jVRT0ohj31nHOQ8FIapYqDxYY6pL8LmgscJPUJ2axSI+q1guepSzQx8m0rTtRJU80VqoLCT2lkjPBLNTOADHVI//bC4+k+zbNCFX4xol4rDNcRHzkj37biJEmTtsO/8LKf/SI558CfUWpE3TAhfZ2FpzP6NM+CgW5wwrHCmBH1WsHz1K3oSFF3IgkSZEhnwy/qfp66RHNFPUJKY1h1uOq7oUpkU5DqKT6m3jQL1IGBHeW1KyCMqNcKXsqeeOV2fWwrQULSpKaAqLspjekRnnrUElLEiVYxA8hQZ/jpjM3Finr7yOPUOUbUawXfU4+P8tSjU8xTJ4OVI+oigh2JT5nBYkMRFDvxyMcfYO3fXh57AsaIeq3gxdQj8ZGeunrhl6ngqaczNkkZKerg3q1ENQNO+M+BoQj6fFEvMqbuf67PeOqGcuJ56nuLenLKeOoZbyEMa9Q5cPwCX2aw1DAWZQu/GE/dUEYcT9CiiVGiHk2QlDSpbDhG5ifCTvt3K6MHi73XZgKSYSx8MS42/NIwHayYiakbykvWW7IuOspLZQrF1P2FMEafA8fP3TelAgxj0d8FsSbwFykvFBH3ghCS8IspE1Aj2OkhsmqRiMdHboi64ZfeKSDqzjieuvqeuln9qGREZD2wG7CBrKrW/yLUfcVNPFpw3c+Gn98fj7N99Vouf/JnI/ZZf8OZJZtXbYyo1wh2ehAnd9UjD4kmSTA1UhodL7xixfYOQQHGUy8f71DVrqCNKBv9ncWXCPDo0jZmSm+ZDAoWE36pEez0IEPEaYiPEvVYAwmZGtkvwzXTR5VKGH5tYuqGsejvLD6e7tFFG+3SUyaDgsWIeo3gZIa8pexGi3rSS2kM/0Cp44dXRs2qHZ5hajz1cqDAL0VktYhcEbQxZaGUCo0eXdpKOz24p6e+MeGXGsHJDJHSGMnYyOusFUsSJz0lBkrJeKI9ylMfnmFqPPVycJyqbhaRWcCvRORFVX3U3+gJ/RUA++23X1A25o/jwEBXGUS9jYRkaWGQ3TSWybhgMKJeK2SGSBHfK6YeiSVJSoZUJvye+rBoj/LUh2PsxlMvGVXd7D1uF5EfA0cDj+ZsvwlvUZQVK1bUrNvqD3LOoJc/JB2u/00nt//qZ5N8any6tA2Adulht9a3qJvwS42g2UFSYwyU+pORspkpIGjZsT314clIxlMvCRFpEpEW/zlwKrA2WKtKwx/c9EW5WLppBfBCMPWN8dRrhWyKIeK0jQq/+Ol9djr86XwyLOqjPPW4GSgtE7OBH7tLzxIF/ldVHwzWpNLwBzd9US4W/6IwU3rrPqxuRL1GkGyKlMZoGO2pJ9xbQT+HO9TY43jqXvhFM4NItW0KEar6OrA8aDvKie9Zd5boqeeGX+odE36pEcQeGjP84he3sqfAxJvhhTBGeer+DNPsVLiwGQpi2FPX0jz1HbTgqNBhRN1QLqxsyhX1USmNvsDpVAi/jOOpR+Pu3Uo2Ff5zYCiMmdJLRiP0UGSJAA+bCDtpDkVM3Yh6jWA5KVLESYyKqfsC52TC76Va9tjZLzGvyNlUuFsxFEY7PeygBS2DlIVlVqkR9RrBslPe5KPRoj51Jt4ML4QRGempJxJxsmphG0/dMIp26Sk588WnW1tNTN1QPiJOmqzE8TIT9uB56joFvNSIkyIrMbBGfi2TsQgpYthT4G7FUBjt0ltyPN2nizYTfjGUj6iTwrYSY2zwcrSnwAIR/oVtNImoRYrYlAhBGQqjXXropDyeugm/GMqHKjFNY0fGEnXvvSkw+SjqpMmMcWFzPfX4ntowBgMAykx6yxZ+6dJWWmSQBPW9Hq4R9VrAi5c7Y4q6G1MXJ/xeatRJY1t7e+rJmEVKY3uqOBoMQBNDNEi6rOEXoO7TGo2o1wJZ1wN1xgy/uO/JVPDUdewQVCLqxtSnwt2KIX/KVSLAZ3hWaZ3H1UsSdRGZJiJ3i8iLIvKCiBxbLsOmFJ6nrqPriEOOpx5uQcvaDgkyY96t+AOlasoEGHLwBzW7yxRT9z3+eo+rl1om4GvAg6p6nojEoc5rVgaFJ1Y6Kj8bGPbUIyEXtFTWF/WxB0p3EtszOclgYM9s0rKlNBKOUgFFi7qItAInAJcCqGoa6nyEISg8T13GEnWv7ok44T616axDQjI4kb39gmQsQkpjSMgvbIbCaB8Ov5Qppq5+pcb69tRLCb8sBDqB74jIH0XkZq+cp6FQxlnxBwDPc41WcaA0iLBa2gu/6JjhF4sUceOpG0bgh192lFih0WeIBH2arHtPvRRRjwJHAN9U1cOBfuC60TuJyBUiskpEVnV2dpbQXIjxPfXYGKIuQkbie2ZbVgc/rPYnuFX9Xqh0g6mML+p7nwM/pm4ZUTfkMFN62KVNZMpYbDYMueqliPpGYKOqPuW9vhtX5Eegqjep6gpVXdHRUdqSU6HFCyuMKepA1koQrZKo54TVbgE3rKaquyrdbtq23fzgMQaLo5aQIo5lhzsEZSiMcpYI8Ommdepmv6jqVmCDiCz23joZWFcWq6Yanqc+vGzb6M1VFHXyDKuV+w4s5cXUxwpBiQhZK04k5BlAhsJol97h3PJy0aVtw7H6eqXUPPWrgO+LyBrgMOBLJVs0FfHy1K342J66bcWJadUELa+wWrnvwPzsF2JjpHUCtpWodgjKUOO001O2QVKfbm1lZp3H1EsKRqnqM8CK8pgydXEyQ1jsWQxir+1WgjhpsrZDNFLx+WJjhdX2EvVyk/ZEPTPWYDHuhS2qRtQNe5gpvXQ5ZfbUaWUGu7FwcOp0bmZ9Wh0yMl5J2eh4nnokQYIMadupuC1BhdV8UR8zrRP3whY14ReDR4ws06S/bCUCfLq0jYgo09ld1uNWE7NGaQ2QTQ2SYM96pKNxPFFPZRwa956bUwn8sFoceB24rNINpjI2CckML983GjsSJ5JxwM5CxHxtpzozvFzycsfUu3MWoO4u8yBstTC/jhogmx4A9qzwMxqNJkjKrqp46hBMWM1ff3S8cYXhVMfsEESaq2WWoUYp19qko8ldgPplnV/WY1cLE36pAbLe+qPjiroffslWR9SDwM64F7bxMoA06t2iTIEVoCqJiES8rKb7g7alFNrLXMzLp4v6n1VqRL0GcNJD2CrEx8n80GiDG34JsahnU66nHhnHUyfXUzeUwsepwmSySuPPJq1ESiPUd/0XI+o1gJ0eYog4DYlxomFRL6aetatrWBXxF5WOjJMBtGetViPqxSIi84AzgZuDtqVUyl3My6eXRjIaqeu0RiPqNYBmBkkTIzl60WmfaJKkpMMdfvE89Wh87LuV4ZmmRtRL4Ubg74Fxv0j1UtZjpvQyoAkGGOfOrkgUix20mPCLoTQ043rqyVhkzO0STYY+pu4vrB0dJwNouISCEfWiEJGzgO2qunqi/eqlrEe79JR9kNTHrf9iPHVDCWh2iCGNjS/qsWToY+r+otLjTcDaI+pmoLRIjgPeLSLrgR8A7xSR7wVrUvG001P2eLpPt7bWdakAI+q1QGaIFHGSsbG7wxX1NOlMeGPqvqiPN/nIMp56Sajqp1R1nqouAC4AfqOqHwzYrKJpl96ylwjw6aTNDJQaSsQeIsX4nroVSxIRJRNmL9UX63FSGn1RN4tPG8Atu1vuQVKfbm1jJr2AVuT4lcZMPqoBJJuaMKZuxd04c9YrJxBKfFEfa51W9mTFZNKDVGdSbXhR1YeBhwM2o3gch5n00l2mxTFG06WtNEiaJurTgTCeeg1gZYdIaWzc8Iufu22nQyzqvgc+TvjFF3U/n90whRnaRVScinrqUL8LUBtRrwEsJ0WaGPFxKjBGvJCEnQ6voA0vVTeOpx5NuGKfTQ1UyyRDrdK3HSh/iQCf7uFZpfUZVzeiXgNYdoqMJBCRMbdHPEFzQuypiz9eMI6nHvVDUCG+sBnypN8V9Uplv3TW+axSI+o1QMROkbXGjxT7gmaHeZDQnjj8Ek34dyvhvbAZ8qTfnRRVufCL66mb8IuhaKKaxp5Q1F1BC3PmR2QSUY9758AvJ2CYwvT5ol6p8IvnqZvwi6FYIk4KOzL+dGe/HK0TYlG37DQOApHYmNuTiThpjeCY8IuhfztZtdhFZUowZ4jSo43GUzcUT8xJY1vj1DyBPd5riL1Uy0mRkTiMM66QjFmkiIf6wmbIk77tdNOKVlC+6nkBaiPqQeM4xMjgRCbIvp4CFQojdtoV9XFIRCOkiIU6BGXIk/7OisXTfbrqeFapEfWg8VL5nAnCL76oa4hnlEacFNkJ7lZcTz2GhvjCZsiTvu0VF/VubfVmldYfRtSDxg+pjLM2JzCcuy0hFrSYkyI7gaeejEVIaQzNhPfCZsiT/s6KpTP6uOEX46kbisHzvmWcSTfAcD0Uyw6vqE+WAZTwPHVCfA4MeaAKfduGc8krRbe2Ml36wM5UtJ1KYEQ9aLKup67jpPIBOQtEhNdLdUV9ovCLG1OXEJ8DQx4M9YCdrkpMHYCB7oq2UwmMqAeN76lPGH5xt1l2eAUt5qSxI+OLeiLqZr+E+W7FkAcVnnjkM5wD75UkqCeMqAeNFye3xik5C0AkjoNg2ekqGVVdVJUYaZwJRD0esUgTC/WFzZAHfZUtEeAzfNHor90l/cbDiHrA6GQLLgOIkJE4ESecXmrGVpKk0QlEXbxzYER9iuPXfal0TN0v62tE3VAofinZCT11ICtxIiEVtLTtkCAzoacO7jkI692KIU/6qhN+6TaeuqFY0l4pWb9m+nhkJE5Ewylo6awr6hMOFgO2FSfihPPCZsiT/u0gFjtoqWgzu2kgpTETUzcUTsYT9WiiccL9bCtOJKReaiprk5DJRT1rxYk64TwHhjzp2w6NM3EqLl1CF63Q31XhdsqPEfWAyQy5MfVYYjJBSxDTcHqp6axDkjRMEn5xrATRkN6tGPKkvxOaZlWlqS5tM+EXQ+FkvfrgsWTThPvZVoJYSAUt5YVfJkzrBOyIEfUpT992aO6oSlPd2jo8MFtPlCzqIhIRkT+KyP3lMGiqkR0Ov0w8UGpH4qEV9XTGJkFm3KXsfJxI0j0HWp+rvBvKQP/2KnvqUzP88nHghTIcZ0riL/qQmCSm7kSSxKsYfqnmxTqdTmGJIpNkADmRBBZal1O3awERSYrI0yLyrIg8LyJfCNqmglB1s1+aqyPq3bS64Zc6cyJKEnURmQecCdxcHnOmHv6iD4nkZKKeIE6GrO1Uwyyo4sXaHyyeLPwyHHMPcWGzCpMC3qmqy4HDgNNFZGWwJhVAus8tq9FUnfBLl7aCnXZLE9QRpXrqNwJ/D4yrNCJyhYisEpFVnZ31N+hQaZz0IGmN0JCcoJ46rqgnyJCugqhX+2KdTeUxAQty6sqHc8C40qhLn/cy5v3VjxvqpxdWyVPfM6u0vkIwRYu6iJwFbFfV1RPtp6o3qeoKVV3R0VGdK2w9oZkhUsRJRiMT7+iJeipTFU/9Rqp4sfYHiyOTeeox46mXihdWewbYDvxKVZ8atb12nTA/E6VKMXV/rdJ6GywtxVM/Dni3iKwHfgC8U0S+VxarphBOdoghYiTjE3eFRpMkJV1xTz2Ii3XWC0FN5qmL8dRLRlVtVT0MmAccLSJLR22vXSds2FOvVvilPmeVFi3qqvopVZ2nqguAC4DfqOoHy2bZFEGyrqfeEJvYU9do0g2/ZCvuqVf9Ym2n88sAGo65G0+9ZFR1F/AwcHqwlhSA7zFXy1Ov00qNJk89aDJDpDRGchJRF0/UU1m7ouYEcbF2vPDLZKLul1KwzTqlRSEiHSIyzXveALwLeDFQowqhzw+/tFelObcUgdRdTD1ajoOo6sO4V31DgYidIkWcWGSS62s0QYI0qUxlRT0IbC/8Ep0kpTHqhWdSQwNMnCtkGIc5wO0iEsF16O5S1fqZX9K3DRpmQCRWleZsItA40223jiiLqBuKR+whMhOszeljxRqIiJJJVy+eXK2LteN53rHkJKLuefLpoX4j6kWgqmuAw4O2o2j6tkHLnOq22bJP3Ym6Cb8EjGWnyE6wNqePH0/OeOl/YUJ9UZ9kApa/3a+XY5hi7N4KLbOr22bLPrB7S3XbLBEj6gETsdNkZOLp8QCWF0/2M0XChOaz+hMQ8z11b7KSYYqxe2swnvpu46kbCiDipLDz8NQtL56cDaGnjlcqYbLaL3EvPBPGuxXDJDiOGwZprrKn3uyFX5z6Gcsyoh4wUWcoL1GPeF6sn/4XKvy880nqqfv1cUJ5YTNMzEAXqB2Mp652XWXAGFEPmLiTIhuZZHo8eybm+AXAwoT4eeeTzChNNHiiHsIQlGESdm91H6seU/cuInUUVzeiHjBxHcKO5iPqruA5IRQ0y/YuVLGJB0qTnqg7YbxbMUzMsKgH4KlDXWXAGFEPmLimsCOT1DxhT+ZHGAUtkh0kQ3TS/OOGBnchkTBe2AyT0OeJerVj6r6oG0/dkBd2ljhZdBIPFSDiCRohDL9EsoOk8sgAakxEGdAEmumvglWGmmLYU9+nuu36FxG//TrAiHqQZDyvOw9RjyVcUddMCD11Z4h0HqLeEI8wSDyUFzbDJOzeCg3TJ82QKjuRGDS2G1E35IknTjJZHXEg3tDsPglh+CVqD5GxJg9BxSMWQySQEF7YDJMQRI66T8scI+qG/MgOuesVWPGJF50GkJi7jxVCQYs5Q3lNwBIRV9SzxlOfcvRtrX483afOZpUaUQ+QoUFf1POoZOLtE0ZBizlDpPNI6wRIWUmsEJ4DwyQE6qnPNtkvhvxIDbiiHk1O7qnjpT1a2fB56gkdIptH+AUgIwmithH1KYU/m7Tag6Q+LXPqalapEfUA8T31aCIPUbcshohjhXCBiLiTX1onQNpKErHDdw4MEzDQDU42QFHfB9SpmxWQjKgHSMYT9eFB0ElISSKcnjop7DzDL9lIkpgR9alFX0DpjD7N9ZWrbkQ9QNJDbr51rCEPTx1ISZJoCAUtoSmcSeq++NiRBmJO+M6BYQL8zJPmAMMvUDfVGo2oB0jWE/Vknp56WpJE7HB56qpKkhRONL9lL+xIA3E1oj6l6NnoPrbtG0z7w7NKNwfTfoEYUQ8QO+WGX5KNLXntn7bCF3rI2EojKZw86t8AONEGkkbUpxa9m0Cs4Dz15llu+70m/GKYBNtb7CFfUc9aSaIhCz2kMhmSkkHzFHWNNZAgDaoVtsxQM/RsckMgkYBW34zE3AtK76Zg2i8QI+oB4hfnamzML/ySiTSQCJuoD3p1XPKYVQug0UYiOGCnK2iVoabo3QitAYVefNrmQc+GYG3IEyPqAaLpAVIaoyE5+SIZAE4kGbp4csYbV2CSpex8xJuEpWlT1KtQRGS+iPxWRF4QkedF5ONB25QXPZuCi6f7tO3r2lEHGFEPkswAAySIR/PrBjvaSCJsou556n4ZhMnw6+SkvHRQQ0Fkgb9V1YOBlcBfi8ghAds0Mapu2KMmPPWNdRH2CyhIZQCQTH4lZ32caAMJDVfYIT20GwArnwlYQDThhqoG+3eTnFkxs0KJqm4BtnjPd4vIC8C+wLpADRuDBdf9DIDp9PLH5BD/8GgPt/72Z8EZ1DoP7JS7rF1zR3B25IHx1ANEsoN5lZz1caINNDCE1oG3kC9++CWayC+l0c/pH+jfXTGbpgIisgA4HHgqYFMmZK7sAGCzBnwFb5vnPvZuDNaOPDCiHiCR7AApyW/SDYDGG2kgTSpTHzUo8iEz6A4W51X/BoglXU99qN+EX4pFRJqBe4BrVLV31LYrRGSViKzq7Ax+Wvwc6QZgi84I1hBf1HuMqBsmIGIPkbXy99Ql1oglytBgeAYJsylvVm2e4ZeEN1FraNB46sUgIjFcQf++qv5o9HZVvUlVV6jqio6O4MMMvqjXjKdeB4OlRtQDJG4PkI7kF3ZwP+DuGyZBs1OFlUpIeumf6RBd2KqFiAhwC/CCqv5b0Pbkw1zpJq0RumgL1pDGmRBN1kVaoxkoDZCEM0BvIv9ZchFvMY10iEIP6g2Uxhpb89q/ockVdX+BEUNBHAdcBDwnIs94731aVX8enEkTM0e62aYz0ID8T3/AFuA38Wmse3wVV+YM2K6/4cwgzJoQI+oBknQGsGP5TTwCEC/zIxMiT13T7v+SyFPUG5tcjy0bonNQLVT1cUCCtqMQ5sgONlMbaU6bdSZzpStoMybFhF8CpEEH0Xj+om4lXeHLDPZUyqTq49e/ac7v9rqxdRoATsqI+lRgX+kKPp7usUVnMsfLxqllihb1up2dViNkszaNDEGiAFFvcGvE2BX0Uqvdr5LuI6MRknmmNCYaWnFUwIh66ImSZQ7dvKWzgjYFgM20M5udRMkGbcqElOKp19/stBqir6+XiChWIr9iXgCxBtebdYZ6J9mzJKrar5FsP/0ksSJ5fhUtiwFJQtrE1MPOXOkmIspGDT4LB2CTzsQSZR/ZGbQpE1K0qKvqFlX9g/d8N+DPTjPkQf9uN4QSSRYg6k2VF/Vq96uV6WdA8qv74jMgjUSMqIee+bIdgA014qn7FxffrlqlLDH1iWan1dpkhlqhf/cuAKINhXvqWqXQQzVmHUaz/QwWKOpD0kg0Y0Q97MwXVy82OLXhqfthoP3CLuoTzU6D2pvMUCsM9bmeejzPrA+ARLO3bxVEfbJ+LdfFOpodYEgKyNUHhiJNRLNG1MPOfNlORiNsqZHsly06k4xG2F9qe1m7kkR9stlphvFJDbiinmialvdnkokEA5rAqrCo59Ov5bpYx+1+UlZhop6JNBEP2bJ+hr3ZT7azSdtxaiRJzybCRm1nv7CKej3OTqsl0gOu85tvKh9AQyxCHw1YFQw9VLtfC55VC2SjTSQdI+phZ750sqFGBkl93tLZoQ6/+LPT3ikiz3h/f1Ymu0JPxhP1xuZpeX8mFrFcUU9X1FOvar8mncGCRd2ON9OgpkxA2JlXg6L+ps6u+fBL0TNK63F2Wi1he9PjG1sKq2kxWOFBwmr3a1IHyETzq/vio/EWmnQQx1Esy3wFw0gjQ7RLLxtrJPPF502dRZsM0EYfPeQ/x6Sa1Eawagri+DVPGvIfKAUYtBqJZUPiparSoIPYBYq6lWyhiUF6B8O1YIhhD3vSGWvLU39LZwPUtLduRD0grFQvDgIFlAkASEWaiNshyfzIpohi48QLE/VoQxsRUXb1VnQSliFADpCtALyucwK2ZCR+WqMRdcNeWKld9EkzWIV1QTrSRCIsmR9DuwBw4oWFoGJN7t1Nb0/t1+EwFMdC2QzAGzUq6rU8WGpEPSCi6V4GrMJjctloM0knHOEXe8Cbbt0wraDP+WmgA71G1MPKgdYWtugMBsh/ZbBqMEiS7TrNeOqGvYlne0lFC4unA9ixZhp0sC5WNZ+Mod3uqjbSML2gzzV4GUMD3qxcQ/hYKFt4w8l/rYFqsl5ns8DaGrQZ42JEPSAasrtJx4oQ9XgLUWzI1H8IJtXrinqksTBRb/LK7w717SqzRYaaQJWFsrnm4uk+rzpzWSSbgNp0rIyoB4DjKE3ObpxE4Ut02clp7pOB+g89pPvc/yHaXKiotwOQ7a/tanmGIhnopk0GeF3nBm3JmLyq85gufcykNgfqjagHQM9ghjbpR32BLgBNugKoA91ltqr6ZPpdUY81F7ZSvNXk1gIJwzkwjEHXK0DtZb74vOpdbA7yBnNrDSPqAbCjP0Ub/ViN0wr/cKMrgKndtb+s1mQ43kBpQ4Gi7p8DGTSeeijpdkX9tRoV9VeceQAcZG0K2JKxMaIeAD09u4iJTbSpQDEDpMkNPaR667+MsQ7solcbaWpIFPbBaIJBSRJNGVEPJV2vkNIom2ps4pHPFmbQp0kOEiPqBo/du1wvO9FSuKj7F4LM7voPPcjQTnq0ieZE4dUqBqxW4uld5TfKEDzb1/Ga7lsz1Rn3RnhN5xpRN+yh3xP1xtbC60THmt3P2H31L+pWqoceihP1oVgbicyu8hsVYkTkVhHZLiJrg7ZlQrat4wWdH7QVE/Kq7stBlompGzwGdrk5ri3thY/utzY10qsN2P31L+rRVA+7tImmIkQ9m5hOs91LxnYqYFlouQ04PWgjJmRgB+zezIvOfkFbMiGvOvsyR3bAUE/QpuyFEfUAsHu2ABBtKXxyxfSmOLu0GScEop5Md7FDphOPFv411MaZTGM3XX2pClgWTlT1UaC2c2G3PQ/ASzXuqb+g3kVna+3d9BhRDwDt8wY5mwsvKzqtMcYOWpDB2v5tTooqTekd9EYKy1H3iTTNYLr0sa3XiHo5CXxNYU/UX6hxT/15Z4H7ZMuzgdoxFkbUAyA62Ela4pDIf9Fpn2kNcbq1jfhQnac0pvuI6xAD8eLWn0y0djBN+tm+qzqLcE8VAl9TePvz0DiTTqZVv+0C6GQa23SaEXWDS0O6m/7oDJDCF3iIRy26rZk0pmq3Slxe9Ln2p5LtRX08OXNfAHZ3biybSYYaYOtzMHsJ9bD+zlrnANi6Jmgz9sKIepVJZW1asjuLFjOA3lg7TdldkK3j0EOfW+Uu01CcN9g00709H+w2oh4aMkNujHruEUFbkhfP6/7Q+SKka6sOkxH1KrNp5yAdsgunsfhb24GEF4vfXbuV4ibF89SliHEFgEibmzmU2mlEPV9E5A7gCWCxiGwUkb8M2qYRbFsLTgb2PTJoS/LieecAUAe2rwvalBEYUa8yb3YPMEt2EWsrvqzoUIO7pBa7t5TJquqjnqdutc4u7gCtrqg7PbWZK1yLqOqFqjpHVWOqOk9VbwnaphFsWu0+zlsRrB158rwucJ9s/mOgdozGiHqV2bi9i5mym8bZC4s+RrbZq4nRW7+Cltm5gbRGSLYWecfSOJOsxIj21/HdimEkG1dBy5zhC3ats1HboWkWbPx90KaMwIh6lenZ/CoAjR0HFH0Mq6X+RT3b/SabtJ3pTQ3FHUCEwUQH0+0uegYy5TXOEAybVtdN6MVFYL+V8NYTQRsyAiPqVSbd/SYAMn1B0cdondFBrzaS6Xy1TFZVH925ng06i9ltxS9XlmmZxzzpYn13OJb3m9Ls3gY7XoN5RwVtSWHsdyzsegt6aqcOjBH1KqM717tPphU/Y27utEZe07lktr9cHqMCINq7gQ06i31aixf1aMciFspmXtpqctXrnvWPuY8HHB+sHYWy30r3ccOTwdqRgxH1KtLVl2LW0HrSkWZoLnKAENinLcnrOofIjtfKaF0VGdxFIr2TN0sU9eZ5hzBD+njjrTfLaJwhENY/BolW2Gd50JYUxj7LINYEb9ZOCMaIehVZu6mHt1kbGZqxuKiJRz5z2xp4zZlDYnArpPrKaGGV8FLA1lv709pQeDEvH6tjMQA9G18oi1mGAHnjMdj/TyFS/PchECJR1+7XfhO0JcMYUa8iazbsYpFsJDn3kJKOM7stweu4MyrpfLEMllUZr77HrpZFSAkXN2YeBEC0+2XSWVOtsW7p2ejG0xfUWejF56B3ufbveD1oSwAj6lXllRefY4b0EZ9f2oy5RDRCZ9sy98VbtRPLy5stz9ArLbTN3r+040zbn3R8Gkudl/jDW2YVpLrl5Qfdx4PeFawdxbLoFPfxlV8Ha4dHnd3r1C89gxkatj7tnvH9/rTk483YZz82vbEP+771BPzplaUbWEV0/f/xlL2YRbMLL2g2AstC9v9Tjnl5NXe+3MnKhcUVBzNUlwXX/WzE6+/GbmNfmcPJ//YqUIfjRDMPhOkHwKu/gmOuCNoa46lXi58/t4UT5I9kku3Q/raSj7d4dgu/yy5G1z9eXzVgdq5Hdr7Bk/afsGh2c8mHiy18O/vLNp7647PYjpbBQEM1aaWfY611/MpZQT0U8RqXxWfA6w/D4K6gLTGiXg1sR7nr8ed5V+QZokvPAav00370ATO4316JDO3ac/taDzz3QwAetI/iyP0KX6N1LxafAcDRfb/hoRe2lX48Q1V5p/VHYmLzS7ueJh2NwaHngZ2GF+4L2pLSRF1ETheRl0TkVRG5rlxGhY1vP/Y6J+24kyQp5MhLynLMow+YwdPWcnbFZsFj/wp2tizHhQr261APPPXfrE0eQWTG/uw3s7H0Y85YiLP/2/lQ/Bf86/2rzOzSOuO9kUfZ4HTwRz0oaFNKY+4RMGPhsNMSJEWLuohEgG8AZwCHABeKSGlpHSHCdpRXt/fxlZ88Tecv/40roz9FDz0f5pQnDzcZi/Duw+Zz/dD73UL9P/4r2LWh5ONWpF9VofMl+MEH0IEdfKb3PZx7WPnqe1jv+jwz6OUL/V/kmm/cxS/XbqE/Vb6LnKEy7Esnx1nPc7d9AlrvQQMROPR8eONR2BnsvIlSBkqPBl5V1dcBROQHwDlAXnUon3vkR7Q+8jlgTxxUUFD3UYffy9kGe++fs4/mvqc6vM/4x9pzvLG2jdxvvG257+3ZpgrtKJ+QfoiBfeC7kLP+ffRpKIlrT3kb57z0dr4ysJm/WXs3kbV300cTfdJERmIooFhsmXEUK6/8Tr6HLalfN766Fvt/LyCqGWJkiGmGBGkaGSJFjOvSV9A7YxkfOqH4gmZ7Mf8o5NxvctS9V7Oy/2P0/zDBTlrYIREUCxULFSkiYlvbMd6e+GyWXfdQ0GYUzQeiru33OCcEbEmZOOJiePSr8PRNcNoXAzOjFFHfF8h1DTcCx4zeSUSuAK4A2G+/PesOxpra6G7c88NW/wcke6Qx5yAj9xm9HVBvH/HkVrz3ZLzP7ZUfLTn75xx9rLb3snHvbZYltCXjyNz9aFt8ApH9/7SkCUdjsU9bkvuvPoG7Vh3Av2w6l4N6fkdHehNJp5+oZj2rFW2dV8hhS+rXeEMTmxoPICtxHCuGbcWxrTjdyf15adrxHDx7PtevmE9rMlbMvzw+y/+CyAHHk113PzvfWEffru2k0hkcxwHHRrWyeexBDNFmS1hoJWiaGeCDkV/zgHMUGzWAZfMqQds8WHIu/OG7cNJ1RS1XWQ5KEfWxFGqv77aq3gTcBLBixYrh7X+y4mRYcXIJzRsAOloS/PU7DgIOAs4sxyFL6tdZ+x7ArL8LaLCodS7RlVcwb2UwzRvy55LIL2mVAf47e3bQppTE6PTMQ+Vw7kvcw43/eDU3Zs8DYP0NZfld5k0pgayNQG5VqnlA/daCNfiYfjVUlA528rHoT/mFvYI1emDQ5pSV53Qh99vHcEXkZ8wimAlxpYj674FFInKAiMSBC4B7y2OWIUBMvxoqhyr/FPsOUWy+lH1/0NZUhH/OXkAEmy/GbiGIwFzRoq6qWeBK4BfAC8Bdqvp8uQwzBIPpV0NFefomTous4ivZv+BNLX5Jx1pmg87mn7MXckrkD1weqf4ckpLKBKjqz4Gfl8kWQ41g+tVQEZ67Gx74JL+yj+QW+4ygrako37FP41hrHZ+Nfg/WnAjLzq9a23WeHGowGGoeOwMP3wD3/CXsdyxXZa6s/7z0SVAsrspcydP6J/CjD8Fvv+yehypgCnoZDFMIETkd+BoQAW5W1RvKefzcbJAEac60nuQj0ft4m7WJe+y38+mXP0SKeDmbrFmGSHBJ+pO8dMwv4JEb4Pkfw/F/A4ecA7Ei1+bNAyPqBsMUIWe28Cm4WU6/F5F7VTWviWV74diQ2r3nb6iH91iPscDaxmHyKkdZL9EoKV5z5vCX6b/lIafO67sUQYo4nPtNOORc+NX/c2d+3/83sP+x7iLbMw+CtvnQMA2Sbe7qT9FkSYuFGFE3GKYOJc0Whj2eeII0LyUv3Wv7v8fBUeE1nctd9on8yjmS/3OWUuuzcyvJgk/5w1PXc6y1jjOyT3Psy+s48JWHsGSc7JjPbINYcUs9imr1Um5EpBPILYzQDnRVzYDyEAab91ct3zS+Mfp1rDZrnXqzF8a2edy+FZHzgNNV9UPe64uAY1T1ypx9hmcKA4uBl8psX9DUok0wuV15/2ar6qmPNkpEVqnqimraUCrG5r0Z68tWb+ep3uyFomyedLZw7kzhUqnFc1qLNkF57Qr3ELTBYMjFzBaeAhhRNximDma28BQg6IHSstzmVRljc+22WQr1Zi8UaLOqZkXEny0cAW6t8GzhWjyntWgTlNGuqg6UGgwGg6GymPCLwWAwhAgj6gaDwRAiqiLqky1kLC5f97avEZEjqmHXRORh80ki0iMiz3h/nwvCzhx7bhWR7SKydpztZT/Hpl8rTxD9WoSNeS1ULiJHiYjt5csHbpPX18+IyPMi8kjQNolIm4jcJyLPejZdVlRDqlrRP9wBmdeAhUAceBY4ZNQ+fwY8gJtHuxJ4qtJ2lcHmk4D7g7RzlD0nAEcAa8fZXtZzbPo1nP1aiXOas99vcKt/nhe0TcA03Jm0+3mvZ9WATZ8G/tl73gHsAOKFtlUNT314arKqpgF/anIu5wDfVZcngWkiMqcKto1HPjbXFKr6KO6XYDzKfY5Nv1aBAPq1UPI9p1cB9wDba8Sm9wM/UtW3AFS10nblY5MCLSIiQDNuv2cLbagaoj7WQsb7FrFPNcnXnmO9W6UHRGRJdUwrmnKfY9OvtUHQ53jS9kVkX+A9wLdqxSbgbcB0EXlYRFaLyMU1YNN/AgfjTgh7Dvi4FrFiejXy1PNZyDivxY6rSD72/AG3HkOfiPwZ8BNgUaUNK4Fyn2PTr7VB0Oc4n/ZvBD6pqrbrhFacfGyKAkcCJwMNwBMi8qSqvhygTacBzwDvBA4EfiUij6lqbyENVcNTz2dqcq1NX57UHlXtVdU+7/nPgZiItFfPxIIp9zk2/VobBH2O82l/BfADEVkPnAf8l4icG7BNG4EHVbVfVbuAR4HlAdt0GW5ISFX1VeAN4E8KbqmSgwNewD8KvA4cwJ4BgiWj9jmTkYM9T1farjLYvA97Jm8dDbzlvw7Q7gWMP6BW1nNs+jWc/VqJczpq/9uo/EBpPv18MPCQt28jsBZYGrBN3wQ+7z2fDWwC2gttq+LhFx1narKIfMTb/i3cEfE/A14FBnCvWIGRp83nAR8VkSwwCFygXm8EgYjcgZu50S4iG4HrgRhU5hybfq0O1e7XQsnznFaVfGxS1RdE5EFgDeDgrgI1ZtpotWwC/hG4TUSew71If1Ldu4iCMGUCDAaDIUSYGaUGg8EQIoyoGwwGQ4gwom4wGAwhwoi6wWAwhAgj6gaDwRAijKgbDAZDiDCibjAYDCHi/wPJE5RYWO4WAgAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 432x288 with 3 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 3 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"experiment(100, R=5)"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.8.8"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
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