diff --git a/pruebas_de_hipotesis.ipynb b/pruebas_de_hipotesis.ipynb index fffa373e7d75262cbb67d36af5651a26ea595205..9d66bdcde4f597b083a61a8bdfcd5f91f74efff8 100644 --- a/pruebas_de_hipotesis.ipynb +++ b/pruebas_de_hipotesis.ipynb @@ -807,7 +807,7 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 21, "metadata": {}, "outputs": [], "source": [ @@ -832,10 +832,10 @@ " pvalue : float\n", " p-value para el test estadÃstico de dos proporciones\n", " \"\"\"\n", - " prop_a = exito_a / size_a\n", - " prop_b = exito_b / size_b\n", + " prop_a = exito_a / tamano_a\n", + " prop_b = exito_b / tamano_b\n", " prop_pooled = (exito_a + exito_b) / (tamano_a + tamano_b)\n", - " var = prop_pooled * (1 - prop_pooled) * (1 / size_a + 1 / size_b)\n", + " var = prop_pooled * (1 - prop_pooled) * (1 / tamano_a + 1 / tamano_b)\n", " zscore = np.abs(prop_b - prop_a) / np.sqrt(var)\n", " one_side = 1 - stats.norm(loc = 0, scale = 1).cdf(zscore)\n", " pvalue = one_side * 2\n", @@ -844,18 +844,14 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 22, "metadata": {}, "outputs": [ { - "ename": "NameError", - "evalue": "name 'success_a' is not defined", - "output_type": "error", - "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", - "\u001b[0;32m<ipython-input-17-5ae74c47944f>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[1;32m 4\u001b[0m \u001b[0mtamano_b\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;36m5000\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 5\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 6\u001b[0;31m \u001b[0mzscore\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mpvalue\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mtest_de_dos_proporciones\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0msuccess_a\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0msize_a\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0msuccess_b\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0msize_b\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 7\u001b[0m \u001b[0mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m'valor z = {:.3f}, pvalue = {:.3f}'\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mformat\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mzscore\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mpvalue\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", - "\u001b[0;31mNameError\u001b[0m: name 'success_a' is not defined" + "name": "stdout", + "output_type": "stream", + "text": [ + "valor z = 1.359, pvalue = 0.174\n" ] } ], @@ -865,15 +861,23 @@ "exito_b = 527\n", "tamano_b = 5000\n", "\n", - "zscore, pvalue = test_de_dos_proporciones(success_a, size_a, success_b, size_b)\n", + "zscore, pvalue = test_de_dos_proporciones(exito_a, tamano_a, exito_b, tamano_b)\n", "print('valor z = {:.3f}, pvalue = {:.3f}'.format(zscore, pvalue))" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 23, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "zscore = -1.359, pvalue = 0.174\n" + ] + } + ], "source": [ "# o podemos usar la implementación de statsmodels\n", "# donde pasamos el éxito (llaman al argumento counts)\n", @@ -908,7 +912,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 24, "metadata": {}, "outputs": [], "source": [ @@ -960,11 +964,20 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 26, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Diferencia estimada: 0.008199999999999999\n", + "Intervalo de confianza: [-0.00362633 0.02002633]\n" + ] + } + ], "source": [ - "prop_diff, confint = test_de_dos_proporciones_cint(success_a, size_a, success_b, size_b)\n", + "prop_diff, confint = test_de_dos_proporciones_cint(exito_a, tamano_a, exito_b, tamano_b)\n", "print('Diferencia estimada:', prop_diff)\n", "print('Intervalo de confianza:', confint)" ] @@ -1011,7 +1024,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 27, "metadata": {}, "outputs": [], "source": [ @@ -1059,16 +1072,27 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 29, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 576x432 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "prob_b = 0.08\n", "min_diff = 0.02\n", "tamano_a = 2500\n", "tamano_b = 2500\n", "\n", - "plot_poder_estadistico(min_diff, prob_b, size_a, size_b)" + "plot_poder_estadistico(min_diff, prob_b, tamano_a, tamano_b)" ] }, { @@ -1080,9 +1104,20 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 30, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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Nf39/+3aBgYHcfvvt5ObmNjp0rbaGrr9f//rXPPnkk7z44otMnz6dm2++mY0bNxIZGcnKlSsxm83t9jvYla8NV98jWspdr43G3mObeu6PHj3KxYsXSUpKcqjbmT17NkFBQfb/Hzt2jOzsbKZNm2YvvSgoKMBgMHD11VeTkpJiH0UBiIqKarR+s6nHDAgIwNfXl3feeYdPP/3Ufh0+88wz/Pvf/27wNV599VXef/99h7sSL7+eLRYLX331FVdddRV9+vSxb9e/f3+Hkc769O7dm++//54333zTfu3PnTuXDz/8kKioqEb3t9m9ezeKojjNotx999189NFHREVF2T9n7r33XodtZs2aRd++feudLq6P7fqs7xps6NoMDAzkwQcfZN26dSxatIhrrrmGxYsX8+KLL5KXl8eaNWsA69TlmjVrWLZsGT169GhWfDZNmpezzX/WFh0djaIonD17lu7du7foxetjuw3dNvddm+2x2r987aE556CkpIR7772Xn376iZtvvpmHH3642a/nyjlo6r4lJSW88cYbJCQk8O9//9te+3H99ddzyy23sHz5ciZNmuTybeNeXl78+OOPbNmyhfT0dLKysuwJa+0pAIBu3bo5TKHYYrr8GtNqtQ4fAl5eXuzevZudO3eSkZFBZmYmxcXFgHMyWtd0gU6nw2KxANj7tNg+3Gvr168fADk5OYwYMaIJ3337a+z6u/XWW5320ev1zJ49m9WrV5OWltZuv4Nd9dpojfeIlnDna6Ox99imnnsPD+uYwuVJglarJTo62v7/rKwsAJ599lmeffbZOmPKycmxJ1xN+ZxrzjGffvppli9fzoMPPohOp2Ps2LHMmDGDX/7yl3h7e9f7GlqtluzsbF544QXS0tLIyspySBLBWrdbUVFRZ6LUr1+/Rv+wfvTRR7n//vv5+9//zjPPPEN8fDxTp07l17/+NT179mzsNNjZpiEvn/YODAy0TyWeOXOGwMDAOpOY/v378+WXXzb59eDS55/BYMDPz8/hOaPR6PRYbWFhYSxevNjp8cmTJxMeHs73339PVVUVy5YtY/jw4Q61f7YatpKSkiZNuzcp+aqr6t9sNgM4FGu2lrCwMAD7X6+15eXlERgY2O59gpp6Di5evMjdd99NSkoKc+bM4amnnmrRX4GunIOm7nvo0CFMJhM33HCDw/fg5eXFL37xC1auXEl6errDSEBL/OUvf+E///kPQ4YMYfjw4cyePZsRI0bwl7/8xWn+vb7alYbOoaIoLFq0iF27djFq1ChGjBjBnDlzGDNmDHfddZfT9rY354aO19hzTb0Tpr25cv3ZEo+Kigp7wXVb/w52xWujtd4jmsvdr43G3mObeu5tiXLtmy5sbM/V/vr3v/89w4cPr/O4tqTOFkNjmnPMX/ziF0yePJkdO3awZ88evv32W77++mveeeedBnulvfHGGzz77LP07duX0aNHM2PGDIYNG8b69ev5+OOPHbZt7BzUZ9CgQXz66ad89dVX7Nq1i6+++ooXX3yRdevWsXHjxkbvhrWx/fwa0tDP1WKxNPu91jbSd+HCBYdEy2QyUVRU1OK7z0NCQigtLSU3N9feCWD8+PFO2910002MHTu20aauTUq+bNl8bZmZmWi1WiIiIppyiGYJDAwkIiKizrtmjh075nQXQ3toyjkoKyuzv7nNmzfPfqdKS7hyDpq6r+2Xu65fENsvaFN+URty9uxZ/vOf/zB79mynvwRtw9mu2rdvH7t27WLRokX8/ve/tz9eXV1NUVGRQ5FkU9hGXOrq8p+RkQFYh+XdTVOuv9zcXObPn8+sWbPsBek2tu8tIiKiXX4Hu+K10ZrvEc3REa6Nxt5jq6qqgMbPvS1JyszMdNjGNoJmu9nD9rP09fVlwoQJDtseOnSI4uJi9Hp9s76Hph6zvLyclJQUBg4cyC233MItt9yCyWRi5cqVvPXWW3z99dcOdzfaGI1GVq1axbhx41i7dq3DHyS2QnuA4OBg/P39nc4B0GgHdrPZTGpqKv7+/lxzzTX2af1t27bx8MMPs2nTJoc7IxtiGwjIzs52SNhyc3N55plnuP322wkPD+frr78mPz/fafQrIyPDYdq0KWx34R47dsxhxO3YsWMA9hsX6rJhwwbWrFnDa6+95hCv2WwmKyuLoUOH0rNnzzobqn7wwQd8+OGHrFy50iFpr0+Tar4OHz7ssAxFfn4+H330EVdccYXDHHprmjFjBt999x2nTp2yP/btt9+SkZHBdddd1yav2ZCmnIOnn36alJQU7rzzzlZ5U3XlHDRl34EDBxIaGsr//vc/hykEo9HIBx98QHBwsP2NqqlsIwe2v2Zs0zuXTyns2bOH06dPU11d3azj16WoqKjO13j33XeprKxs9mvEx8fb77YqKyuzP15WVsY777xDz549VfkDoDFNuf569epFSUkJmzZtcvjecnJy2Lx5M+PGjbNPK7T276BcG63/HtFU7n5tQOPvsU0990OGDCE8PJwNGzY4tDPYunUrhYWF9v8nJCTQs2dP1q9fT3l5ucPxHnroIZYtW9bsmZ2mHvPkyZPcdtttvPfee/ZtdDqdvR2C7XVtvzO1R/MqKyuJiYlxSLxSUlL44YcfAOsfFhqNhunTp/PVV1/Z24eANfHavXt3g9+D2Wzmzjvv5O9//7vD48OGDXOIyRZjQ3+g2+4QtnXQt9m8eTPbt2/H39/fnmS++uqrDtvs2LGDjIwMpkyZ0mC8lxs5ciQ9e/bknXfecYjtP//5D76+vlx99dX17hsVFcWZM2ec4l2/fj3FxcX84he/wNvbmwkTJjj9s/0hN3LkyCZ9PjRp5Eun07Fw4ULuuusu9Hq9/ZuqfRt4U2VnZ/PTTz8xcuTIBv/qXLhwIR9++CHz5s1j/vz5GI1G1qxZQ3x8PLNnz2728VyJBRo/B6dOneLDDz8kMDCQwYMH8+GHHzodwxZ3e5yDpuyr1Wp58sknefDBB+1/fVksFt5//33S09PtLSeaE7NtemLNmjVceeWVTJ48mbCwMF555RWMRiO9e/fm0KFD/O9//8Pb29vhDaqlRowYgb+/P8888wxnz54lKCiI77//nm3btrXoNby8vHjiiSd4+OGHufnmm+23Nr/33nvk5eXx4osvNjo91RSuXLuXa8719+c//5nFixczd+5cfvWrX1FeXs7bb7+Np6cnf/7zn+3bt/bvYFe/NtriPaIpOsK1AY2/xzbn3C9fvpzFixczZ84cbr75ZnJzc3n77bcdejHVPl5SUhK33HIL3t7ebNq0iZycHP75z382u11RU485bNgwRo8eTXJyMufOnSMuLo5z587xn//8h379+tmns2y/Mxs2bCA/P59f/OIXDBs2jM2bN+Pv70/fvn05efIkmzZtsn/v5eXlBAUF8fvf/57du3dz++23M2/ePLRaLevXr8fPz6/BdhM6nY477riDf/3rXyxevJjJkydjMBjYuHEjPj4+3HzzzYC1BtPDw4OdO3cSFhbmtBwVwODBg/nVr37F+vXrycvLY/z48aSlpfHf//6XX/7ylwwaNIi4uDiuueYa3nrrLXJzcxk3bhynT59mw4YNREZGOhTif/PNN+Tn5ztcY5fTarX84Q9/4LHHHmPhwoVce+217N27ly1btrB06VKHWqzLjzdx4kSmTZvG+vXrKSoqYtSoURw+fJjNmzdz5ZVXNvi6zdbY7ZC2W5c3bNigTJ48WRk+fLiyYMECh9uxG9rvcrZbZxtbvkJRFOXUqVPKggULlOHDhytXXHGFsnTpUuXixYvNPp6rsTTlHLzzzjv2Vg31/Wvvc9CUfRVFUb799lvl9ttvV4YNG6YMGzZMufXWW5U9e/a06FwVFxcr8+bNUxISEpRrr71WURRFOXHihDJ//nxl9OjRyqhRo5SbbrpJefvtt5U333xTiY2NVQ4fPqwoirWdwNVXX+1wvMtvXba5fNt9+/Ypc+fOVYYPH66MHTtWmTNnjrJ161blmWeeUQYPHmy/Hbi+a6Gux2ufl1GjRinz589Xfvzxxwa//7q0xu9CY8drzvWnKIry+eefK7fccouSkJCgjB49Wlm0aJHDUjE2rfU7qChybbTVe0RjsXaEa6M5nzNNPfdffvml8qtf/UpJTExUpk+frnz88cfK3Llz6/xZ3nHHHcrw4cOVkSNHKnPmzHFoaVLfeW1IU45ZWFio/OUvf1GmTp2qJCQkKBMnTlT+9Kc/KXl5efZtTCaT8vvf/15JTExUxowZoxgMBiUnJ0d54IEHlLFjxyrDhw9Xrr/+euXll19WPv30UyU2Nlb55JNP7Punp6cr9913nzJy5EjliiuuUJ577jnlueeea7TVhNlsVtatW6fccMMNyvDhw5VRo0YpCxcutP8+2rz66qvK2LFjlcTERGXv3r11/k6azWbl9ddfV2bMmKHEx8cr06dPV1566SWHVhkmk0l56aWXlOnTpyvx8fHKlVdeqTz99NNKYWGhw+vZWs40xebNm5VZs2YpCQkJyowZM5S3337baZu6jldZWamsXLlSueqqq5T4+Hjl6quvVp5//nnFYDA0+HrNbTWhUZSG7xueOnUq4eHhTV4RvKP5+9//bu+AXJ/Ofg6aqinnSnRNcm2I+sh7rBDOWm1tx44oPz+fL774wi3rd9yNnCtRH7k2RH3k2hCibl06+SooKGDp0qV1Lr0hHMm5EvWRa0PUR64NIerWeosfdkCxsbHExsaqHUaHIOdK1EeuDVEfuTaEqFujNV9CCCGEEKL1dOqRL4vFQnl5OV5eXu2+FqQQQgghmk9RFKqqqvDz82uVtj7uqFMnX+Xl5fZlAIQQQgjRccTGxja6RmJH1amTL1uD0NjYWJcXh+6Ijhw5IncZtQI5j61DzmPrkPPYOuQ8to62OI8mk4kTJ0647Rq6raFTJ1+2qUadTtfgKvGdWVf9vlubnMfWIeexdch5bB1yHltHW53Hzlwu1DknU4UQQggh3JQkX0IIIYQQ7UiSLyGEEEKIdiTJlxBCCCFEO5LkSwghhBCiHXXqux2bqqSkhLy8PKqqqtQOpVV5enqSkpKidhgdXkc6j15eXoSGhhIYGKh2KEIIIerRKsnXli1b+Ne//kV2djbh4eHce++9/PKXv2zSvufOneOGG27g7rvvZtGiRfbHq6urWb16Nf/73/8oKioiPj6exx57jMTExNYI2a6kpITc3FzCw8Px8fHpVLe2lpeX4+fnp3YYHV5HOY+KolBZWcnZs2cBJAETQgg35fK047Zt21iyZAmTJk3ipZdeYuzYsSxdupRPPvmk0X0VReHxxx+nrKzM6bm//e1v/Pvf/2bhwoUkJyej1WqZN28e2dnZrobsIC8vj/DwcHx9fTtV4iW6Ho1Gg6+vL+Hh4eTl5akdjhBCiHq4PPKVnJzMrFmzWLZsGQCTJ0+muLiYF154gWuvvbbBfd955x3S09OdHj9z5gwbN25k+fLl3HrrrQBMmjSJmTNnsmbNGp566ilXw7arqqrCx8en1Y4nhNp8fHw63RS6EEJ0Ji6NfGVnZ5OVlcWMGTMcHp85cybp6ekNjlJlZ2fzz3/+k7/85S9Oz+3duxez2czMmTPtj+l0OqZMmcKXX37pSsh1khEv0ZnI9SyEEO7NpeTLNmrVt29fh8ejo6MByMjIqHM/i8XCY489xqxZs7jyyivrPG5QUBAhISFOx83JycFgMLgSthBCCCGEalyadiwtLQXA39/f4XFbcXJdtVwAb775JmfOnOGVV16p8/mysjKnY9Y+bnl5OXq9vsVxCyHajzH3NKUHv8An9zyGPkHowwaoHZLbsFgUzl0sJ/1MMVm5pcT0CWRCYh8ZvRSik3Mp+VIUpcHnPTycB9ZOnTrF888/z4svvkhAQECLjtvcN6YjR47U+5ynpyfl5eXNOl5H0pm/t/bU0c6jyWRi//796gVgseCVdwLvzH14FWYBoAdy1u2nOigcQ/RoqnoPAg+tejGq6EhmBT+cKON8YRWmasf3u369vblxXDDd/Op/e1b1Z9uJyHlsHXIem8+l5MuWPF3+wWQb8bo8uTKbzSxbtoxrr72WiRMnUl1dbX/OYrFQXV2Np6cn/v7+dX7Y2Y5b16hYQxISEupddT0lJaVDtBFoiY7SIsHddcTzqNPpGDZsmCqvXXHqABe2vYa5JP/SgxoPFBQ0ioJn8Vn8D51Fm/4l3Wfejf+g8arEqZZP957mvW/O1Pt8+nkjr2y/wPxfxDPzihg8PBz/2Ny/fz+jRo1q6zA7PTmPraMtzqPRaGxw0KQzcKnmy1brlZWV5fB4Zmamw/M2586d4+DBg3zwwQfEx8fb/wGsWrXK/nW/fv0oKiqiuLjY6bgRERHodDpXwu5SduzYQVxcHJ999lmdz8+dO5epU6e2c1SiszLlZZL7/kp74uWh9yPoitlELnqJ4qsW023izXj4WvuPmcsKyfvf8xjOnlAz5Ha1a382L713EAAfby2j4kK56aoB/H7OCJ5eOJ5x8b0BMJjMvPz+IZa/+i0FJVLjKkRn41LyFR0dTUREhFNPr88++4yYmBjCwsIcHg8NDeW9995z+gdw66232r+eMGECAJ9++ql9X5PJxO7du+3PiaZJTU0FYMiQIU7PWSwWUlNTiY2Nbe+w3MrmzZuJi4vj/PnzbnWsjsZsKOf8e8+iVBkBDd1nzCfqgdfofs2deHULRdEHEjLlN0Q98Co9rrvfOuVoqSb3vZVUlxWpHX6b++ZQDs9v+AlFsSZe9988jJunDuTKEeHE9AkkwE/H3Olx3HvTUIL8rSP1h9LyeebfP2C2NFyKIYToWFzu87V48WKWLVtGUFAQU6ZMYefOnWzfvp3k5GQACgoKyMrKYsCAAfj7+zN06NA6jxMaGmp/Ljw8nJtuuom//vWvVFRUEB0dzbp16ygpKWHBggWuhtylnDhxgm7duhEREeH0XHp6OpWVlcTFxakQmehMFMXChQ9foLrQmnQGT7mVoDHX17mth6eOwBHTUMxVXPx0DeayAvL+9//o85sn0Wg754pnPx47zz//sw+LAjovLU/efQV+Pl6UVTj3YxsUHcJjd4zmvztOcPDkBVIzC/n4q1P88iq5UUGIzsLlDvdJSUk89dRTfP311yxevJgff/yRFStWcN111wGwe/du5syZw9GjR5t13Keffpq5c+fy2muv8fDDD2M2m1m3bp29jYVomuPHjzN48OA6n7P9TCT5Eq4q+vo9KtKsRbe+sWPoNuGmRvcJHHUt/kOnAGDIOkrBF+vbMkTVHM8s4Jk3f6TarOCp9eCJ344loX+PBvfRe3ty64w4ugdZ7+p+a1sKZ/JK2yNcIUQ7aJU/M+fOncvcuXPrfC4pKYmkpKQG9z9+/LjTYzqdjscff5zHH3+8NULskiorK8nKymLUqFH2OrzafvzxR8C15Ovdd9/l3//+N1lZWYSGhjJ37lwWLlzocEfqkSNHWLlyJUeOHMFisTBs2DAeeughhg8f7nS8ZcuW8fXXX7Nnzx6Hu2X/9Kc/8d1337Fz5077sRt77alTpzJjxgyOHj3KwYMHufnmm1m+fDmvvPIK7777LoWFhUycOJExY8Y4xFBRUcFLL73E559/Tk5ODjqdjhEjRvDHP/6RQYMG2bezWCyNHqulcf7xj39sUgzuoCJtP4VfvguAV0gYob94AI2m8b/rNBoNPWbdgykvE1NuBsU/bME7bCD+8ZPaOuR2oygKr/7vMFXVFrQeGpbdNYYRcaFN2tfbS8utM+J4adNBqqotPP/fA6z43eQ2jlgI0R465xi/AKxtPSwWC++//z7vv/9+ndvo9XpiYmJadPxXX32V5ORk7rrrLiZPnszhw4d58cUXKSgo4LHHHgOsd6guWLCAK664glWrVmEymfjXv/7FggUL2L17t9Odq7Nnz2bz5s3s27ePsWPHAtZ6v88//5xbb73VnrA05bUB1q9fz4IFC7jnnnsICgpi5cqVvPXWW9x///0MGzaM7du389xzzznE8Oijj3LgwAEeeeQRIiMjOXHiBK+88gpLlizh448/tsfQlGO1NM7LY8jMzOSFF15wikFt1SUXyfvwBUBB46Wn1y2P4qFv+p2hHl7e9Lrlj5x941EshjIubH0ZXe9+6LqHNb5zB/DtoXOczC4CIOnqAYytKahvqv7h3Zg8IpwvD5zleGYhH315iqi6O/QIIToQSb7qcSKrkP9+fpxKY3XjG7chH29P5k6PIzYquNn7njx5EoDly5fTo4fzNMejjz7KgAED0Gqb32uptLSUl19+mdtuu82+ruekSZPw9fVlxYoV3HnnnYSFhZGWlkZhYSF33nknI0eOBKx3s27cuJHy8nKn5GvcuHH06dOHrVu32pOvr7/+muLiYm688cZmvTZAZGQkDz/8MAAlJSWsX7+e+fPn87vf/Q6wrkWal5fHV199BVhvca6srGT58uX2tUnj4+OpqqriH//4B4WFhYSEhDTpWC2Ns64Yxo4dS1lZmUMM7qDo281YDNa2MD1/sRhdz8hmH8OrWy9Cf/kQ5//7N5QqI0VfbyJ09u9bO9R2V2228Na2YwAE+Oq4+eqBLTrO9RP6kpJRwIWiStZvT+GemT1bM0whhAok+arHh1+e4sdjuWqHAYCvtxdLbm9+H5UTJ07g5eXFnDlz8PLycnguPz8fo9HoMOX44osv8sknn5Cens5zzz3H9dfXXTANcODAAQwGA1OnTnXo1zZ16lT+/ve/s3fvXpKSkhg4cCAhISHcd999XHvttUyePJmJEyfyxz/+sc7jajQafvGLX/Dee++xfPlyPD092bp1K/Hx8fTv379Zrw041Lv9/PPPVFVVcc011zi85qxZs+wJk7e3N2+88QYAubm5ZGRkcPz4cXbt2gVgX7C6KcdqaZx1xXD69GmnGNRWXVpI6c87AfDpNwL/wS2/E9m3/wj8hkyg/Ng3lB39muAr5+AV3LxRInfz+feZ5ORbE9O502Px8/FqZI+66by0zJ0Rx+p3f6aq2sIHewuYPkVB6+Eeo59CiOaT5Kses6/sT6Wx2i1Gvm68sl+L9j158iTR0dFOiZftOXCs94qOjuZPf/oTL7zwQqPHLioqAmD+/Pl1Pp+XlwdYl4R6++23+de//sX27dvZuHEjer2e2bNn88QTT9TZs2327Nm89tprfPfdd4wePZovvviChx56qNmvDeDr62v/2tY37vJRo549HUcSvvrqK/7+97+Tnp6On58fAwcOtDcMtq2+0JRjtTTOumIYNGiQfZvGVoBoL8Xff4RitiaCwZNucfl4wRNvpvzYN6BYKPpmMz1vWOTyMdVSaazmnc+stayhIb7MmhDj0vH6hQVx5Yhw9hw4y9mLVXx/5BwTEjvH1KwQXZEkX/WIjQrmybuvUDsMl6SlpdXbFy0tLQ1wTL5mz54NUO+am7XZkpHk5GQiI52nmkJDLxUV9+vXj5UrV2I2mzl06BAffvghGzZsICYmps7EZMCAAcTHx/PJJ59QVlaG0WjkhhtuaNFr1xYcbJ26zc/PJyoqyv64LUkCa8PgxYsXM336dF577TUiIiKoqKjggw8+sI9oNfVYLY2zrhg0Gg1vv/22QwxqMleUUPKTtQ+fPjoefaTrNwHoQqPxjR1LxYkfKD28m+DJv8IzqGNOsX345SmKSo0A3HHtILw8XV9Gadb4vvxwLJdKYzUf7DklyZcQHZjLrSaEezp37hwlJSUMHFh3nUldI1/NMWzYMLy8vMjLy2Po0KH2f9XV1SQnJ3PhwgUAPv/8c6644gouXLiAVqtlxIgR/N///R+BgYGcO3eu3uPfeOON7Nmzh+3btzNx4kS6d+/e7Ne+3IgRI9Dr9U5NgW3TeWC9M9NoNHLfffcRGRlpL2y3JT0Wi6XJx2ppnE2NQU3FP2ypaaYKwRNdH/WyCZ54s/ULi5mi7z5oteO2p+IyI5t3WX+/rCNWzj32WsJbp2V8Qh8AUk4XkFZTyC+E6Hhk5KuTsrXvGDCg7saMaWlphIaG2kdwmiskJIT58+eTnJxMWVkZo0aNIicnh+TkZAICAuxJ38iRI1EUhcWLF3PPPffg5+fH9u3bKSsrY8aMGfUe/4YbbuDZZ59lx44drFixokWvfTk/Pz8WLVrE888/j16vZ+zYsezevdshYYqPj8fT05OVK1cyb948jEYj7777Lrt37was7TuaeqyWxllXDJs3b3aKQS1mQznF+7YD4B0eiz6m7sbJLeEdNgCffiOoTD9A6c876TbxFjwDWnaNqmXjjhNUGs0A3HXDEKe1GV0xaXgYu37KRlHgf3vS+OPto1vt2EKI9iMjX52ULfmq7wM+LS3N5eaqDz/8MEuWLGHr1q0sXLiQ5ORkJk+ezFtvvWVfyLx79+688cYbBAQE8Kc//Yl7772Xo0ePsmrVqjp7Ytn06NGDiRMn4u3tzbRp01r02nW59957efzxx9m2bRv3338/J06cYOnSpfbno6Ojee6558jJyeG+++7jySefBKytIDQaDfv27WvysVoaZ3NiUEPJvu0oxgrAOurV2m0vbPVjirmK4u8/atVjt7WiUiPbv80AYNjAHoyIbd1p0+AAPX17Wa+bbw7mcLFY3URcCNEyGsVdqnfbgG1l9ISEhHo/6FJSUurtAN/RlZeX4+fX9J5LNnfccQdz585t8G7HrqSl51FNbXVdW0yVZK2+D0tlGbpefQm/e2WTk6/9+/czalTT7trN+c+TGDKPovHyJup3r6CtWYzb3X2wJ403PrKuHPHMookNdrLPyCmmrKIKH+/mTUDs2XuID/YWAnDL1IHcdb3zuq2icc25HkX92uI8NuWzu6OTkS9hV1VVhdFoxGKxOHwthE3JT59hqSwDoNukm9us2autjkypMlL8w5Y2eY3WpigKn32fBUB4Tz/i+3VvZI+WCe3mRXRv680cn3x3GoNJ3TuyhRDNJ8mXsFu+fDmJiYns27ePpUuXkpiYaF+CSAhFsVD8w1YAvHpE4Bc3rs1eSx8zFO/wWABK9n+CUu0evc0aciKrkOxc6/qL08ZGt+kqBFeNtBbxl1VWsXv/mTZ7HSFE25DkS9j94x//4Pjx4w7/xo1ruw9Y0bEYMo9iLr0IQNCY65u0fmNLaTQagsZYp70thnIq0n5qs9dqLZ//YB318vDQMHV08zv9N0figJ4EB1inYz7Yc8pter8JIZpGki8hRJOUHfnS+oXWEz8Xutk3lW/sGDQ6HwBKj+xp89dzhcFYzZcHzgIwelAvQgL1bfp6Wg8Nk4eHA3D2Qhk/Hc9rZA8hhDuR5EsI0ShLlZGy1L0A+A4YhdbHv5E9XOfh5Y3fIGuj44q0/Zhras3c0TeHcuyrYUwfF9XI1q3jivg+6Lysb+EffZXeLq8phGgdknwJIRpVkbbf3l7CP2Fyu72u/bXM1ZSnftdur9tctinHbgHejB7cq11e00fvycg462sdPHGBsgpTu7yuEMJ1knwJIRpVdtg65ejh7YvvgPa7Pd8nOgGtv7XJqn3a082cvVDG0XRrLdzUUZF4atvvbXVknLWPmNmi8N3h+leMEEK4F0m+hBANMleUUnHqAAB+gyfg4em8GHpb0Xho8Y+3jn4Zso5RXVz3kkxq2lEz6gUwbWz7TDna9Avvhr+vF4C95kwI4f4k+RJCNKg85VuwWOuZ/BOubPfXr/2aZUfdY2FxG7PZwhf7rMnX4JgQInsFtOvraz00DBtgHf06fCqfknKZehSiI5DkSwjRoNKa6T5tYA/0Ue2/GoSuVwxePa2tG0oP73Grtgr7U/MoKLEuMD69nUe9bIbH1p56zFElBiFE80jyJYSoV1XheYxnUgEISJjcpr296qPRaAioGf2qyj+DKfd0u8dQn90/WRuc6nVaJtW0fmhv/cKCCPC1TgXL1KMQHYMkX0KIepUd/dr+tRpTjvbXjr90h6W7FN5XVVvYn5oLwJghvZu9RmNr8fDQMGygdQ3JI6cuUlxmVCUOIUTTSfIlhKiToiiU1TQ31fXqi66nOtNqAJ5BPdFHxQPWui/FYlYtFpsjp/KpMFhr4cbF91Y1FtvUo0VR+PaQTD0K4e4k+RJC1Ml07hRVF60f5O3Z26s+thjMZYVUZh5RORr4/uh5wFr0PqqdenvVp29YEEF+MvUoREchyVcnt2PHDuLi4vjss8/qfH7u3LlMnTq1naMSHUH58b01X2nwHzJJ1VgA/AaNB611aq88dW8jW7ctRVHsydfQ/j3w9/FSNR4PjYZhA62jX0czLlJYalA1HiFEwyT56uRSU63F0kOGDHF6zmKxkJqaSmxsbHuH5VY2b95MXFwc58+fd6tjqa0ibT8A3mED8AzsrnI0oPXxx6dm6rEi7SdV73o8dbaY/KJKAMaqPOVoY5t6VBT49qBMPQrhziT56uROnDhBt27diIiIcHouPT2dyspK4uLiVIhMuLPq4guY8qz9q3wHjFQ5mktssZhL8qm6kNXI1m3nh6OXkmu1671sovsE0s3fG4A9MvUohFuT5KuTO378OIMH192b6ejRowCSfAknFWk/2b9uz+WEGlM7FtvInBq+P2JNvvqFBREa4qtaHLV5aDT20a/U0wUUlMjUoxDuqlWSry1btnD99deTmJjIrFmz+OCDDxrcPi8vjyVLljB+/HhGjhzJokWLyMzMdNhm3759xMXFOf279957WyPkLqGyspKsrCzCwsLIzMx0+vfjjz8CriVf7777Ltdddx0JCQlMnTqV1157zWk66MiRI9x1112MGjWKESNGMG/ePH7++ec6j7ds2TImT56MxWJxePxPf/oTU6dOdTh2Y689depU/vGPf3DHHXeQmJjIU089hcVi4eWXX2bKlCkMGzaMRYsWUVxc7PBaFRUVrFy5khkzZpCQkMDkyZO5++677VO4Nk05VkvjvDyGkSNH1hlDW7ElNlq/buh6922X12wKr5A+eIWEAY4JYnvKK6ggPcf6cx6X4B6jXja2ui8Fx9E5IYR7cbkxzbZt21iyZAl33XUXkyZNYseOHSxduhS9Xs+1117rtL3RaGTBggUYjUaefPJJ9Ho9L730Erfffjtbt24lMDAQsI7Y+Pr6sm7dOof9bc+Lxp06dQqLxcL777/P+++/X+c2er2emJiYFh3/1VdfJTk5mbvuuovJkydz+PBhXnzxRQoKCnjssccAKCsrY8GCBVxxxRWsWrUKk8nEv/71LxYsWMDu3bvx9/d3OObs2bPZvHkz+/btY+zYsQCYTCY+//xzbr31VjQaTZNfG2D9+vUsWLCAe+65h6CgIFauXMlbb73F/fffz7Bhw9i+fTvPPfecQwyPPvooBw4c4JFHHiEyMpITJ07wyiuvsGTJEj7++GN7DE05VkvjvDyGzMxMXnjhBacY2oKlykjl6cOAdZpPjcaqDfEdMJLiH3IwnDmOubIUrU/7LunzvRtOOdpE9Q7Az8eL8soqfkw5z7XjY9QOSQhRB5eTr+TkZGbNmsWyZcsAmDx5MsXFxbzwwgt1Jl+7du3i+PHjvP/++yQkJAAwcOBArrnmGj799FN+9atfAdZC8YEDBzJ8+HBXQ2wRw9mTFH29CYtJ3aF7D52ebpN+hT58YLP3PXnyJADLly+nR48eTs8/+uijDBgwAK1W2+xjl5aW8vLLL3PbbbfZf/aTJk3C19eXFStWcOeddxIWFkZaWhqFhYXceeedjBxprdfp168fGzdupLy83Cn5GjduHH369GHr1q325Ovrr7+muLiYG2+8sVmvDRAZGcnDDz8MQElJCevXr2f+/Pn87ne/A6zXa15eHl99ZV0z0Gg0UllZyfLly+3Xb3x8PFVVVfzjH/+gsLCQkJCQJh2rpXHWFcPYsWMpKytziKGtGDKPolRb1wh0pylHG98Boyj+YQsoFirTf3ZowNoevj96DoAe3XzoFx7Urq/dGA+NhkHRwexPzeNw2kWqzRY8te6VPAshXEy+srOzycrK4pFHHnF4fObMmWzfvp3s7GwiIyMdnps0aRIbNmywJ14AXl7W27RNpkuLwqakpNRbq9Qein/compNSW0e3r7owx9q9n4nTpzAy8uLOXPm2M+xTX5+Pkaj0WHK8eLFizz66KPs27ePyMhI/vrXv9ab/B44cACDwcDUqVOprq62Pz516lT+/ve/s3fvXpKSkhg4cCAhISHcd999XHvttUyePJmJEyfyxz/+sc7jajQafvGLX/Dee++xfPlyPD092bp1K/Hx8fTv379Zrw04XEM///wzVVVVXHPNNQ6vOWvWLHvC5O3tzRtvvAFAbm4uGRkZHD9+nF27dgFQVVXV5GO1NM66Yjh9+rRTDG3Fft17eOLTd1ibvlZL6KMGo9H5oJgqqUj7qV2Tr7LKKo6cughYR73acgSypQZFh7A/NY9KYzXHMwuJ76f+napCCEcuJV/p6ekA9O3rWBMSHR0NQEZGhlPy5e/vbx8Bqaqq4tSpU6xYsYLg4GCmT58OgNls5uTJkwQHB3PTTTdx8uRJevTowZ133slvf/vbdnnDCxpzA4qx0i1GvgLH3tCifU+ePEl0dLRT4mV7Dhzrvf785z8TGRnJSy+9xPbt23nggQfYuXMnOp3Oaf+ioiIA5s+fX+dr5+XlAeDn58fbb7/Nv/71L7Zv387GjRvR6/XMnj2bJ554os5jz549m9dee43vvvuO0aNH88UXX/DQQw81+7UBfH0vFUPb6rEuHzXq2bOnw/+/+uor/v73v5Oeno6fnx8DBw4kIMA6tWWr1WrKsVoaZ10xDBo0yL5NW7ZYUBTFnnz5RA3Gw9unzV6rpTRaL3z6JlJx/HsqTh1AsZjReDR/9LYl9qfkYrZYz7+7TTnaxEUH27/+MeW8JF9CuCGXkq/S0lIAp6kjPz8/wFrv05AHHniAXbt24eHhwd/+9jdCQ0MBOH36NAaDgYyMDB555BGCg4PZuXMnzz77LGVlZTz44IPNivPIkfq7YXt6elJeXu78RLcwAm74fbNep62Yoe4YG5GWlsa4cePq3PfYsWOANVEuLy+nvLycXbt2sX37dsxmMzNmzOCVV15hz549TJgwwWl/W0L3zDPPOCXYYE1CbK/bq1cv/u///g+z2cyRI0fYtm0bGzduJCwsjDvuuMNp3z59+jBo0CC2bNnCxYsXMRqNTJ061X68pr62xWKhurravp+PjzWROHPmDN27X/pAys21rs9XUVFBamoqixcvZurUqTz//POEh4ej0Wh49913+eqrr6ioqKC8vLxJx2ppnNnZ2U2KoSEmk4n9+5s/cutReoGg4gsAXNT3IqcFx2hIS2Kqi86rB36ApbKUg19swRzs3EqlLWz/2jrq5e2lwVScxf792S0+1vlCEwaTBZ1X86cFU1JTGny+R6An+SXVfP1TJkN7y12P9Wmt67Grk/PYfC4lX439Be7h0fCbysKFC7nrrrv46KOP7DUxSUlJ9OrVi9dff53BgwfbRxLGjx+PwWDg9ddfZ/78+U4JX0MSEhLw9vau87mUlBR7stiZnDt3jpKSEgYNGlTn92e7u3TYsGH4+flx+vRpAgMDiYq6tH5fXFwcZ8+erXP/cePG4eXlRUlJCWPGjLE/fuDAAVatWsUjjzxCTEwMn3/+OcuXL+fjjz+mZ8+eTJgwgQkTJvDpp59y8eLFes/9TTfdxJo1a6isrGTixIkOyUtTX9vDwwNPT0/7a4wfPx69Xs/u3bsdEspvv/0WsI4+paamYjQaWbx4MQMHWuvsysvL+f777wHrDQp+fn5NOlZL40xPT3eKAXCKoSE6nY5hw5o/ZVj03QcU1Hwdd/Vs+52FrWH//v2MGtU6NWTVcf3IOrIVgChtGSGtdNyGVFVbeHbzdgDGxYcxbuxol46XkVNMWUVVsxfkTklNYfCghksyhl/MYMePWeQWVdE/NoFuAXW//3VlrXk9dmVtcR6NRmODgyadgUvJl20q5vK/wm0jXrbn62P7gY0fP56zZ8/y6quvkpSUhL+/P1deeaXT9lOmTGHTpk1kZGQwdOhQV0Lv9I4fPw7AgAED6nw+LS2N0NBQgoOtUxSVlZVOCa2/v3+9IywhISHMnz+f5ORkysrKGDVqFDk5OSQnJxMQEGBPGkaOHImiKCxevJh77rkHPz8/tm/fTllZGTNmzKg3/htuuIFnn32WHTt2sGLFiha99uX8/PxYtGgRzz//PHq9nrFjx7J79257LRVYi+s9PT1ZuXIl8+bNw2g08u6777J79277eWrqsVoaZ10xbN682SmGtmCbcqzd0sEdefoH492nP8Zzp6hI+4mQq29r89dMzSywL6Q9xk2nHG0GxQSz40drE9qfjucydbR6i6ILIZy5dBuMrdYrK8ux07RtVOXyWjCwTndt3brV6fH4+Hh7Dczx48d55513nAqLDQbr8LktYRD1syVf9X3Ap6WlOdR7+fj41JlENzTC8vDDD7NkyRK2bt3KwoULSU5OZvLkybz11lv2kcbu3bvzxhtvEBAQwJ/+9Cfuvfdejh49yqpVqxxGgy7Xo0cPJk6ciLe3N9OmTWvRa9fl3nvv5fHHH2fbtm3cf//9nDhxgqVLl9qfj46O5rnnniMnJ4f77ruPJ598ErC2gtBoNOzbt6/Jx2ppnM2JoTWZK8swZFv7iPm44V2Ol7PFaMo7TXVJfpu/3sETF+xfj4jt2cCW6ovpHYheZ62D25eSq3I0QojLaRQXq3evueYahg8f7tDf6KGHHiIlJYVPP/3Uafu1a9fy7LPP8tlnn9mnuMxmM7fccgs6nY6NGzfy2Wef8cADD/Dyyy873E22aNEijh8/zo4dO5pUdG8bumxs2lHNuyrbUnl5eZOnVMvKyrjiiivYvXu3vS3FrFmzePzxx5k8uX1v5Xc3zTmP7qIl13XZsW/I+9//A6D3b57Et5XvdGzt6QlDTho566zJbo9Z9xI4sv6R1Nbwxxe/JDWzkH5hQbzwhykuH68tpx0B1m05yqG0fPx9vXj7qVl4eLjfnZlqkmnH1tGW044NfXZ3dC73+Vq8eDHLli0jKCiIKVOmsHPnTrZv305ycjIABQUFZGVlMWDAAPz9/UlKSmL9+vXcf//9PPDAA+j1et5++21OnDjB2rVrAev0Ynx8PMuXL6egoIDevXvz8ccf88UXX7Bq1Sq3vL27o/P392fKlCm8/PLLLF261D41OG7cOLVDE+2k4qR1RE2j0+MT5bwQu7vx7tMPrV83zOVFVKTtb9Pkq7yyihPZRQAkDnTumeeOBkWHcCgtn7KKKk6dLWJgpMwYCOEuXO6+l5SUxFNPPcXXX3/N4sWL+fHHH1mxYgXXXXcdALt372bOnDn2dQS7devGf/7zH2JjY3n66af5/e9/j8Fg4M0337R/0Ot0OtasWcO0adNYvXo1ixYtIi0tjdWrV9vbUYjW93//939kZmYyduxYXn/9dVatWlVnKwjR+SiKhYr0nwHw6TsMjda5PYm70Wg88Ok/AoDK04dRqtuu/9mRU/lYalpMDHfzKUebQbVaTsjUoxDuxeWRL4C5c+cyd+7cOp9LSkqyN5K0CQ8Pt4+M1SckJISnn366NcITTdSjRw97c0/RtZjysrBUlADg22+4usE0g2//EZQd2oVSZcSQcwKfqPg2eZ2DadaaMk+thvi+HaNvVnCgnl4hvuQWVLAvJY9bZwxSOyQhRA1Zd0IIgSHz0m3dPjEJDWzpXvS1kq3K0213a/rPNcX2cdEh6JtZo6WmwTHWJsAnswspqzA1srUQor1I8iWEsC+krQ3ojmdwH5WjaTpP/2549bT2gKudQLamghID2bnWhtLDBnaMKUcb29SjosDBk21/R6gQomkk+RKii1MsZgxZ1hUPfGISOtwNLT7R1pE6w9kTWKqMrX78gycvtZgY3sGSr37h3fDytL7N/5hyXuVohBA2knwJ0cWZzmdgMVYAlxKZjsQnuqbhsrkaw5nUVj++Lfny8dYyMKpbqx+/LXl5ejAgohsAB45faNN1QYUQTSfJF227ULEQ7a2513Nlrek6fQeq97LRRw8BrKN1hlau+1IUxd5cNaF/Dzy1He8tc2BkN8A6fZpbUKFuMEIIQJIvvLy82nS5FiHaW2VlpX1R7yZtX5OweHYLxSsotK3CajNanwB0vWIAqMw82qrHPnuhjPxi68oaHa3ey6Z/zcgXWFtmCCHU1+WTr9DQUM6ePUtFRYWMgIkOTVEUKioqOHv2LKGhTUuiFHM1huwUoGNOOdrY7tA05pzEYmy9P6ZqF6l3tHovm/Ce/valhn6Wonsh3ELHuWe6jQQGBgKQk5PjtJZkR2cymaRJaivoSOfRy8uLXr162a/rxhjPpaFUWUd29DEdd7F6fXQCxd9/DIoFQ3YKvgNGtspxbfVe3QK8ieod0CrHbG9aDw19w4JIOV3A0XRJvoRwB10++QJrAtbUD6uOZP/+/Qwb1rrr83VFnfk81u6N1aFHviIHg8YDFAuVmYdbJfkyWxQO1TRXHTagZ4e7C7S2/hHW5Cu/yEBeQQWhIb5qhyREl9blpx2F6MpsvbG8QsLwDAhROZqW89D74d2nPwCVp1un7uvUmSLKK62j4cM6yHqO9RlQq+7rsNR9CaE6Sb6E6KKU6ioMZ44D1mm7jk4fbe12b8rNwFxZ5vLxavf3GtZB1nOsT0RoAN5e1rqv2t+XEEIdknwJ0UUZzp5AqbYuOdORlhSqj33aVLHYm8a6wjbl2KeHH6HBHXuazlr3ZS2tOJp+UeVohBCSfAnRRdXu79WR671s9JGDwcM6ulPp4lJDZrOF1NMFAAzt37GnHG1sLSfyCiu5UCjtdYRQkyRfQnRRhpr1HL16RqL1C1I5Gtd56PR4hw0EXF/nMT2nGIPJDMCQvh23Fq42x7ovmXoUQk2SfAnRBVmqjBjOngRqLc/TCdimT015mZjLi1t8nKPpBfav4/t1dzkudxAZ6o/Oy/qWf0j6fQmhKkm+hOiCDGdSwVINdI4pR5va30ulC3VfxzKsdVEhgXp6dZK2DFqtBzF9rCOcR6TuSwhVSfIlRBdksC/Do6lZG7Fz8I6IQ6O1Lq3U0qlHRVHsyVd8v+4dur/X5QZEWJOv3IIKLhZL3ZcQapHkS4guyJCdCoAuNAqtT8fs3F4XD08d3uE1dV8132Nznckro7jMehdofCep97LpL/2+hHALknwJ0cUo5iqMOdZ6L33EIJWjaX2278mUl4nFUN7s/W2jXgBDOkm9l01UrwC8PK1v+wel7ksI1UjyJUQXYzyfYe/vpY8crHI0rU8faUsoFQxnTzR7f1sfLD+9J9G9O9eyY55aD2L61PT7OiV1X0KoRZIvIbqY2tNx3pFxKkbSNrzDL31PLZl6PJZhvdNxcN/ueHh0nnovG1vLiXMXyykoMagbjBBdlCRfQnQxhuwUALQB3fEM7NjL5tRF6+OPV88ooOauzma4WFxJbkEF0Hn6e12uf8Slnm5HpO5LCFVI8iVEF6Ioij0h0UcO6lR38tVmq/synj2BYq5u8n61l97pLP29LhfdKxCt1vpzPyJTj0KoQpIvIbqQqoJzWCpKgM5ZbG9jq/tSqk0Yc083eT9b8uXl6cHAyG5tEJn6PD09iAy13uGacrqgka2FEG1Bki8huhBjrWm4S4XpnU/t7802zdoUtnqv2KhgvDy1rR6Xu7Atsp11vpRKY9NHBoUQrUOSLyG6EFsiotH5oAuNVjmatuMZFIrW31qzZWxi3VdZhYnM89ZRwc465WjTt6bTvUVROJldqHI0QnQ9knwJ0YXY670iYtF4dN6RHY1GYx/9MmSnoihKo/scO12AbbP4vp07+YoJu9RC46gsNSREu2uV5GvLli1cf/31JCYmMmvWLD744IMGt8/Ly2PJkiWMHz+ekSNHsmjRIjIzMx22qa6u5vnnn+eqq65i2LBh/OY3v+HQoUOtEa4QXZK5vJiqizlA5673srElX+byIqqLchvd/lhNEuKhgUExwW0am9oCfHX06OYDwLF0qfsSor25nHxt27aNJUuWMGnSJF566SXGjh3L0qVL+eSTT+rc3mg0smDBAg4fPsyTTz7Jc889R15eHrfffjslJSX27f72t7/x73//m4ULF5KcnIxWq2XevHlkZ2e7GrIQXZLBod6r8zVXvZw+4tL32JS6L1u9V0xYEL56rzaLy13Ymq2eyC7EYml8ZFAI0XpcTr6Sk5OZNWsWy5YtY/LkyTz11FPMmjWLF154oc7td+3axfHjx3nuueeYNWsWV199Nc8//zx5eXl8+umnAJw5c4aNGzeydOlSbr/9dqZOncobb7xBUFAQa9ascTVkIboke/Kl8cA7bKC6wbQDXa9oNF56oPFmq8Yqs732qbPXe9nYiu4rDNVk55WqHI0QXYtLyVd2djZZWVnMmDHD4fGZM2eSnp5e5yjVpEmT2LBhAwkJCfbHvLysf2WaTNYlT/bu3YvZbGbmzJn2bXQ6HVOmTOHLL790JWQhuixbAuLduy8eOr3K0bQ9jYcWfUQs0Hiz1ZNZhVSbraM/nb3ey8ZWdA+QkiFTj0K0J5eSr/T0dAD69u3r8Hh0tPUuqoyMDKd9/P39GTlyJABVVVWkpqby2GOPERwczPTp0+3HDQoKIiTEscN0dHQ0OTk5GAyyJIYQzWGpMmI8Z/199e4C9V42tu+1Kv8M5or6R3dq97sa3Ek721+uV3df9DrrTRdHpOheiHbl6crOpaXWNzN/f3+Hx/38/AAoKytrcP8HHniAXbt24eHhwd/+9jdCQ0Pt+11+zNrHLS8vR69v+l/uR44cafK2nc3+/fvVDqFT6Ojn0bMgiwCLtZ9TTpWOTJW+n/Y+j56VWgJqvj66ZytVoXVPt35/0LrMTpCfloyTR3H+s7H1nS80YTBZ0Hk1/2/glNSm9y5rSM9ALdn5Zg4dP9fhr/GW6Irfc1uQ89h8LiVfjd2+7eHR8JvKwoULueuuu/joo49YtmwZAElJSY0et7lLoiQkJODt7d2sfTqD/fv3M2rUKLXD6PA6w3ks/CYTWzenIVdej2dA+9/Np8Z5tBiHcHr/RlAshHtX0b2O11cUheSPrDcIDRvYu91izMgppqyiCh/v5r0Np6SmMHhQ69wwkV2cSXb+aQrLzfSPTaBbQNd5n+wMv9fuoC3Oo9Fo7PSDJi4lXwEB1r8py8vLHR63jXjZnq+P7Qc2fvx4zp49y6uvvkpSUhL+/v5Ox6x93LpGxYQQ9bPd7efZrZcqiZdaPLx90PWKwXQ+vd6i+/MXKygus9abxnXyFhOX61ur31dqZgFXJPRRMRohug6Xar5stV5ZWVkOj9t6dl1eCwZw7Ngxtm7d6vR4fHw8eXl5APTr14+ioiKKi4udjhsREYFOp3MlbCG6FEWxYDx7HOjcSwrVx77I9rk0LNUmp+dTMy/Vew2K7hr1XjZRvQLxqJlIOHIqX91ghOhCXEq+oqOjiYiIcOrp9dlnnxETE0NYWJjTPnv37uUPf/iDQ8JmNpvZu3cvsbHWO5MmTJgAYG89AdY7IXfv3m1/TgjRNFX5Z7EYrCPJXaG56uXsCae5GtN552qu1Jpie52nB33Dgpye78y8dVrCelpnElJOyzJDQrQXl6YdARYvXsyyZcsICgpiypQp7Ny5k+3bt5OcnAxAQUEBWVlZDBgwAH9/f5KSkli/fj33338/DzzwAHq9nrfffpsTJ06wdu1aAMLDw7npppv461//SkVFBdHR0axbt46SkhIWLFjgashCdCmGsyfsX3uHx6oYiTr0tb5nw9nj6CPiHJ5PzbQmHQMiu+Hl2fVWXIvpE8iZvDLSzxZTVW3u1AuKC+EuXE6+kpKSMJlMrF27lk2bNhEZGcmKFSu47rrrANi9ezfLli3jrbfeYty4cXTr1o3//Oc//POf/+Tpp5+mvLycxMRE3nzzTUaPHm0/7tNPP01gYCCvvfYaFRUVxMfHs27dOnsbCyFE0xhrki+NTo+uZ6TK0bQ/bWAPtP4hmMsK7OfCxmCs5vQ568oaXW3K0aZvWBBfH8yh2mzh1JliBsV0zfMgRHtyOfkCmDt3LnPnzq3zuaSkJJKSkhweCw8Pt4+M1Uen0/H444/z+OOPt0aIQnRZtpEv77CBnXox7fpoNBq8wwdScfx7DGdPOjx38kyRfWmduOiuVWxv07eP4yLbknwJ0fa63hi7EF2IxVhB1QXrShP6LrCkUH1sU4/mknyqSy41FE2t1Vy1qyYd3QK8CfK33sR0NEOarQrRHiT5EqITM+akAdaRna5Y72VT+3s35FyaejxeU+8VGuxDSGDnX3KpLhqNxr7U0PHMwkb7LAohXCfJlxCdWO1ie31XTr769IeaKVdb3ZeiKPY2E1213ssmpmbqsaTcRF5hpcrRCNH5SfIlRCdmSzQ8g3uj9etabRRq8/DyRhcaA4Cxpu6rKzdXvVx0rbqv2lOxQoi2IcmXEJ2Uoij2ka+uPOplow+31rwZz51CMVd36eaql4vo6Y9Wa+22miLJlxBtTpIvITqp6sLzWCpLga5d72VjOwdKtQlT7uku3Vz1cp6eHoT3sDZbPZ4pyZcQbU2SLyE6Kan3cuTYbPVEl2+uejnb1OPpcyVUVZtVjkaIzk3ecYTopOzNVT116EKlObFncG88fK0JRkX28S7fXPVyMb2t56barJCRU6JyNEJ0bpJ8CdFJ2Zur9umPRtsq/ZQ7NI1GY+91Vp6Vam+uOqiLF9vbRPcJsH8tdV9CtC1JvoTohCxVRky5pwGp96rNdi48yvPx11hbKsjIl1VIoB5/Hy8AUqTZqhBtSpIvIToh47lToFgAqfeqrfa5iPbMJzTEl+Au2lz1chqNxl73dSK7SN1ghOjkJPkSohOqvYC0jHxd4h02ELC2VIjxzGdQlEw51hbd2zr1eKGwkqJSo8rRCNF5SfIlRCdkq/fyDOyBZ4BMq9l4ePugCYkAIMbzQpddTLs+0b0vNVs9kVWoYiRCdG6SfAnRySiKgvHMcUBGvepS6mdNvqI984mN7Nr9vS4X1SugZlwQUk5L3ZcQbUWSLyE6GXNJPubyIkCSr7pkWXoC4K2pJkInLRVq03t70ru7HwApp2XkS4i2IsmXEJ2MNFdt2MHCS6Ndltw0FSNxT7aWE6fOFGGuacchhGhdknwJ0cnYky+tJ969+6kbjJupqrbw03kPKizWlgq1E1VhZav7MpjMnMkrVTkaITonSb6E6GSMZ08C4N2rLxpPL5WjcS+nzxVjqlbIMvcAwJhzUuWI3E/tovtUabYqRJuQ5EuITkQxV2E6nw7Y2iqI2k7UrOeYWW1Nvqryz2IxlKsZktvpFeKLt04LSKd7IdqKJF9CdCKm3EwUcxUA3uGSfF3ueE37hDxt75pHFAznpO6rNg8PDVG9rHVftmRVCNG6JPkSohMx5FxKJPQy8uXE1rtKFzbA/pgxR5Kvy9mmHs/klVFhqFI5GiE6H0m+hOhEbDVMHj7+eAb3bmTrrqWswsTZC9YpxuiYCDyDQoFLNXLiEtsdjwqQdqZI1ViE6Iwk+RKiEzHmWO/e8+4zEI1G08jWXcuJrCL717FRwfZpWWPOSRRFWirUVrvoPiVD6r6EaG2SfAnRSZgry6i6mANIvVddjtdaLic2Kth+Q4K5vIjqkgtqheWWAnx1hNQsOJ4qdV9CtDpJvoToJIznTtm/lnovZ7Z6rz49/Aj006GvlaBK3Zcz2yLbJ7MLZWRQiFYmyZcQnUTtnlXSZsKRoigcrxnBiYuyLqat69UXPKwtFaTuy1lUzdRjcZmJ/CKDytEI0bm0SvK1ZcsWrr/+ehITE5k1axYffPBBg9tfuHCBJ554gquvvpoRI0aQlJTE9u3bHbY5f/48cXFxTv9uuOGG1ghZiE7HWNOt3TO4N1rfAJWjcS/nL1ZQWmECrFOOAB5e3uhCowFptlqXqN6XrqHjmVL3JURr8nT1ANu2bWPJkiXcddddTJo0iR07drB06VL0ej3XXnut0/Ymk4kFCxZQWlrKgw8+SGhoKJ9++ikPPfQQZrPZnlylpqYCsHbtWvz8/Oz76/V6V0MWotNRFAVDTQIhU47Oatd7xUUH27/Whw3EdD4d47lTKOZqNFqX3xI7jYhQfzw8NFgsCimZBUwaHq52SEJ0Gi6/0yQnJzNr1iyWLVsGwOTJkykuLuaFF16oM/n68ssvSU1NZdOmTSQmJgIwceJEcnJyeP311x2Srx49ejBx4kRXQxSi06suvoClogSQYvu62Oq9PLUe9A27dCefd/hA+OlTlGoTpgvZePfuq1aIbkfnqSWshx9n8sqk2aoQrcylacfs7GyysrKYMWOGw+MzZ84kPT2d7Oxsp338/PyYM2cOQ4cOdXi8X79+ZGVl2f+fkpJCXFycK+EJ0WVIvVfDbMlD//AgvDy19sdrnyuZenRm63SfnlOM2WxRORohOg+Xkq/0dOsacn37Ov61GB1traPIyMhw2mf8+PE8/fTTDj2Iqqqq2LNnDwMHXnojTE1NxWAwcOuttzJ06FAmTJjAc889R1WVdFsW4nK2ei88PNH1ilE1FndTVW3m1NliAGJrTTkCeHUPw8PbFwCDFN07sfX7MlVZyMotVTkaIToPl5Kv0lLrL6O/v7/D47YarbKysiYdZ+XKlZw+fZp77rkHgMrKSrKyskhPT+eWW27hjTfeYO7cuaxbt44nnnjClZCF6JRs9V7evWLw8NSpHI17ycgpobpm1MZWbG+j0XjgXbPUkK1BrbjE1ukesN8tKoRwnUs1X431fvHwaDi3UxSFlStX8uabb3L33Xczbdo0ALRaLWvXriU8PJyoqCgAxo4di5eXF88//zz3338/MTExTY7zyJEjTd62s9m/f7/aIXQKbn0eLWa65ZxCAxR7BXHejWNV4zx+f/zSH4FVJWfZvz/X4Xm9xh8fwJR/hv3ffwue3u0S1/lCEwaTBZ1X8/8GTklNaYOInCmKgpenhqpqha/3n6Sn7mK7vG57cevf6w5EzmPzuZR8BQRY/yoqLy93eNw24mV7vi4mk4nHHnuMrVu3cvfdd/Poo4/an9PpdIwfP95pnylTpvD888+TmprarOQrISEBb+/2eUN1J/v372fUqFFqh9Hhuft5NJ5L56ylGoDI4RMJGOqesap1Hncf3w8UEeinY9pVY52WXSoPsJCb/i0aYEivAHxihtZ5nNaWkVNMWUUVPt7NextOSU1h8KDBbRSVs5hjBzmZXcTFcg+3/j1oLnf/ve4o2uI8Go3GTj9o4tK0o63Wq3ahPEBmZqbD85crKyvjt7/9Ldu3b+fxxx93SLzAWsi/ceNGCgoce8sYDNZGf8HBjlMHQnRltafL9HKnoxNbsX1sVHCd613WLrqXui9ntrqvs3llVBik5laI1uBS8hUdHU1ERASffPKJw+OfffYZMTExhIWFOe1jNpu5//77OXjwIMnJydx1111O25SUlPDkk0+yZcsWh8e3bdtGQEAAQ4YMcSVsIToVW72Xh94fz+A+KkfjXkorTOTkW0fmL6/3svH074ZnUE9A6r7qYmu2qgCnzhSrG4wQnYTLfb4WL17MsmXLCAoKYsqUKezcuZPt27eTnJwMQEFBAVlZWQwYMAB/f3/++9//8sMPPzBnzhx69+7Nzz//bD+WRqNh2LBhxMfHM3XqVJKTk7FYLAwcOJA9e/awfv16HnvssQanM4XoamxL43iHDahzZKcrO5lVZP86Nqpbvdt5hw2kuvgCxrMnURRFzmMttpEvgJTTBQwd0EPFaIToHFxOvpKSkjCZTKxdu5ZNmzYRGRnJihUruO666wDYvXs3y5Yt46233mLcuHF8+umnAGzcuJGNGzc6HEur1XLs2DEAnnvuOV5++WXWr19PXl4eUVFR/OUvf+FXv/qVqyEL0WlYDOVUXTwLSH+vutTubF/fyBdYm62Wp3yLubwIc0m+fSRMQKCfjuAAbwpLjaTKMkNCtIpWWUtj7ty5zJ07t87nkpKSSEpKsv//rbfeatIxfX19WbJkCUuWLGmNEIXolAzn0uxfS72XM1tn+z49/Ajwrb8Fhz4s1v61IScNf0m+HET1DqCw1EhadpHaoQjRKbTKwtpCCHUYz0pn+/ooimJPvuIaGPUC0PXuCxrr26HUfTmzTT0Wlhq5WFypcjRCdHySfAnRgdmWxPHs1gutb2AjW3ctuQUVlJSbgIanHAE8vLzRhVpX5jDKHY9ObMsMgTRbFaI1SPIlRAelKIo9+ZLFtJ3VThIaKra3sZ1D4/l0FIu5rcLqkCJ6BeBRcw9Cymmp+xLCVZJ8CdFBVZdcwFxuvfVfL1OOTk5kW5MvT60H/cKDGt3edg6VKiOmC9ltGltH4+2lpXd367JxMvIlhOsk+RKig3Ko9wqPbWDLrsnWXLVfeCBentpGt699Du0LlQu7qJq6r/ScYsyWhpeWE0I0TJIvIToo25QjHp7oesWoGou7qTZbOHXWOioYG9m0FTG8uoeh8fYFap1bYRdd02zVaDKTnVuqcjRCdGySfAnRQdmWwvHuFY2HZ/1tFLqi0zklVFVbAIiNblrypdF4oO/TH7i0aoC4pHaz1VSp+xLCJZJ8CdEBKeZqTOfTAWkxUZemNle9nO1cVl04g8UoLRVq6xXii7eXdfpWiu6FcI0kX0J0QKYLWSjV1jYKcqejM1t/L38fL8J6+DV5v0t1XwrGWg1sBXh4aIisaTlxMluK7oVwhSRfQnRA0ly1YbbkKzYquFnrNHqHDbB/LXVfzmx1X2fyyqg0VqscjRAdlyRfQnRAtpokD70fXiF9VI7GvZRVVnEmrwyAgU3o71Wbp38wnoHWhaMN0mzVia3uS1Eg7UyRusEI0YFJ8iVEB2Rvrho2AI1Gfo1rS6s1JdbYskJ1sTdbzZFpx8tF9bnU6V6K7oVoOXnXFqKDsRgrqMo/C8iUY11aWmxv412zyLa5rIDqkoutFldnEOTnTbcAb0CSLyFcIcmXEB2MdUTG2uRSki9nJzKLAOvdeUH+3s3ev3bdl0EW2XZiq/s6mV2kbiBCdGCSfAnRwdTuQSXLCjlSFMW+rFBLphwBvPv0h5qpXFlk25mt7quw1MjFYmnHIURLSPIlRAdjSwg8u4Wi9Wt8zcKuJK+wkqJSI9D05qqX8/DyRhcaDcgdj3WJ6n2p7kvWeRSiZST5EqIDURSlVrG9jHpd7kStZCCuhckXXDq3xnOnUCxml+PqTCJDA/Co6d4hzVaFaBlJvoToQMwl+ZjLiwBJvuqSmmVNBjy1GvqFtXxU0Fb3pVQZMV3IbpXYOgudl5Y+PfwBGfkSoqUk+RKiA3Go95LO9k5sI1/9woPQ1SyF0xK1z61MPTqzTT2mny3GbFFUjkaIjkeSLyE6EHsBuIcWXa++6gbjZqqqzZw6WwxAXHSIS8fy6h6ORucDSNF9XWxF98YqM1nnS1SORoiOR5IvIToQ2yiMLjQaD6/mt1HozDJySqiqtgAt6+9Vm8ZDa596NMjIl5NoKboXwiWSfAnRQSjmaoznTgGgty8ALWxqJwGDXCi2t7G18ai6kI3FKC0VagsN9sVbZ53WlaJ7IZpPki8hOghTXiZKtQkAb0m+nNiSr0A/Hb1CfF0+3qVzrEjd12U8PDRE9bKOfp3IkpEvIZpLki8hOgjD2Uvd1mXky5ktCYiLDkaj0bh8vNrnuPa5F1a2qcezeWVUGKpUjkaIjkWSLyE6CGNNAuDhE4BncG+Vo3EvxWVGzl0sB1zr71Wb1i8Iz269gEvnXlwSVVN0rwBpZ4pUjUWIjkaSLyE6CNvoiz48tlVGdjqT2otpt3RZobrYRr8MOSdRFGmpUJvtjkeQui8hmkuSLyE6AHNFCdWF5wGp96qLrb+XRgMDI1sv+bKda0tFCdVFua123M4g0E9HcID1jtvU01L3JURztErytWXLFq6//noSExOZNWsWH3zwQYPbX7hwgSeeeIKrr76aESNGkJSUxPbt2522e/PNN5k+fTqJiYncdNNN7NmzpzXCFaLDqd1ryluaqzqxFdtHhAbg5+PVasf1lrqvBsX0sY5+ncgqlJFBIZrB5eRr27ZtLFmyhEmTJvHSSy8xduxYli5dyieffFLn9iaTiQULFvDtt9/y4IMPsnr1ahISEnjooYfYsmWLfbs1a9awYsUKbrrpJlatWkVkZCSLFi3i559/djVkITqcSx/8GvR9Bqgai7uxWBROZFuTr9ZoMVGbd69oNFprMid1X86ia5KvknITuQUVKkcjRMfh6eoBkpOTmTVrFsuWLQNg8uTJFBcX88ILL3Dttdc6bf/ll1+SmprKpk2bSExMBGDixInk5OTw+uuvc8MNN1BRUcErr7zC/PnzWbRoEQBXXnklc+fOZfXq1axZs8bVsIXoUIw51g9+r54ReOj9VI7GvZzJK6XCUA20XrG9jUbrha5PP4xnjkvyVYeYWnVfqZkF9O4u16YQTeHSyFd2djZZWVnMmDHD4fGZM2eSnp5OdrbzgrR+fn7MmTOHoUOHOjzer18/srKyADh48CClpaUOx9VoNEyfPp3vvvsOk8nkSthCdCiKxYyhZtpRHyb1Xper3VzV1c72dbEV3RtzT2OpMrb68Tuy8FB/PLXWmz+OpUvRvRBN5VLylZ6eDkDfvo5rzEVHRwOQkZHhtM/48eN5+umnHe7WqqqqYs+ePQwcONDhuP369XM6bnV1dZ1JnRCdVdXFsygma4d1KbZ3ZrvTUa/T2tsftCb7ObeYMZ13fk/ryjy1HkSEWvt9pWZK8iVEU7mUfJWWlgLg7+/v8Lifn3XouaysrEnHWblyJadPn+aee+5x2M92nMuPW15e3vKghehgpLlqw2wjXwMjg9F6tH4LDmm22jBb0X3m+VKMVWaVoxGiY3Cp5quxu1s8PBrO7RRFYeXKlbz55pvcfffdTJs2rUnHbW6PoyNHjjRr+85k//79aofQKah5Hn2PfIc3oGh1HM7KhewLqsXiqtY+j8YqC5nnSwAI8ja22c8pyDsAD2Mp5498zymv8FY55vlCEwaTBZ1X8/8GTklNaZUYWoOnxQBYb3zYuuN7okM7zoLv8v7YOuQ8Np9LyVdAgHW4+fKRKNvIle35uphMJh577DG2bt3K3XffzaOPPlrncWuPqjXluHVJSEjA27vjvCG0lv379zNq1Ci1w+jw1D6P2fv/QxXgGxlH/9FjVIvDVW1xHg+n5aMoOQBcNW4woxL6tOrxbXJPx1OeuhefigsMaqXvISOnmLKKKny8m/c2nJKawuBBg1slhtbQJ8LIjp/3AmDR9WDUqI4xOqv273Vn0Rbn0Wg0dvpBE5emHW21XrZCeZvMzEyH5y9XVlbGb3/7W7Zv387jjz/ukHg1dlydTkdYWJgrYQvRYViMFVRdsNY4Sr2Xs9p1Rq3Z2f5ytnNvLr1IdcnFNnudjqibvzfd/K1/3EqneyGaxqXkKzo6moiICKeeXp999hkxMTF1Jklms5n777+fgwcPkpyczF133eW0zYgRI/D19eXTTz+1P6YoCp9//jljxoxBp9O5ErYQHYYh5yTW1fMk+aqLrbN6aIgvwYH6NnsdqftqWLQ0WxWiWVzu87V48WKWLVtGUFAQU6ZMYefOnWzfvp3k5GQACgoKyMrKYsCAAfj7+/Pf//6XH374gTlz5tC7d2+HpqkajYZhw4bh4+PD/Pnzefnll9FqtQwbNoz333+fo0eP8tZbb7kashAdRu3O9vow6Wxfm6Io9pGvwdEhbfpaut79wEMLFjPGsyfwHzy+TV+vo4npE8jBkxcoKjNxobCS0BBftUMSwq25nHwlJSVhMplYu3YtmzZtIjIykhUrVnDdddcBsHv3bpYtW8Zbb73FuHHj7KNZGzduZOPGjQ7H0mq1HDt2DLAmdVqtlnfffZc1a9YwYMAAXn75ZZmjF12KrbGnZ3BvtH5BKkfjXs7ll1NSbu35Nzim7aYcATy8vNGFxmA6f0pGvuoQ0/tSHW5qZoEkX0I0wuXkC2Du3LnMnTu3zueSkpJISkqy/7+pI1ceHh4sWrTI3uFeiK5GURT7B720mHBWu75oUEzbjnwB6MMHYjp/CtP5dBRzlX3ZIWFdU1Or1WA2KxzLKODKERFqhySEW2uVhbWFEK2vuvA8lkprLz1vmXJ0Yku+9DqtvddUW7LV3CnVJky5mW3+eh2Jp6cHET2td6anStG9EI2S5EsIN2U4e9z+tYx8ObM1V42NCkarbfu3Msei++MNbNk12YruT58rwSTNVoVokCRfQrgpQ7b1A17j5Y2uV4y6wbiZ8soqe3PV9phyBGvdnYevNcEwnJHk63K20UezReHUmWKVoxHCvUnyJYSbMpxJBcA7bAAabauUZ3Yax7MKsXU0GNxOyZdGo0EfMQgAQ3Zqu7xmRxJTa13NYxnSC02IhkjyJYQbMhvK7c1VbR/44pLadUVx0W17p2Nt+kjrz8LabDW/3V63I+gW4E2Qn7UHozRbFaJhknwJ4YasLSasQzv6iDh1g3FDtuQrItSfAN/2a7pc+2cho1+ONBqNQ7NVIUT9JPkSwg3ZphwBvMMl+arNbFE4XvPh3l5TjjbevftDzRSw1H05s9V9FZYauVBYqXI0QrgvSb6EcEO2D3avHhFoffwb2bpryc4tpcJQDbRfsb2NxtML7z79AccEWVjVbvkhdV9C1E+SLyHcjGIx25cVknovZ7Xridp75Asu/UxMuaexmGR0p7bI0AA8tRoAjqRLTZwQ9ZHkSwg3Y8rNRKkyAJcKvMUltnovPx8vwnu2/6igPSFWLBhz0tr99d2Zp6cHkb2sSw2lZEjRvRD1keRLCDdTezpLiu2d2ZKvQdHBeHho2v31pei+Yf3CrGuQZuWWUmGoUjkaIdyTJF9CuBlb8uXhG4hncB+Vo3EvxWVGcvLLAXWmHAG0fkF4hVh/LlJ076xvTfKlKJCaKXc9ClEXSb6EcDO2D3R9xCA0mvYf2XFnqe28mHZ9vGumHo1nj6MoFtXicEcxYZeK7o+ekqJ7IeoiyZcQbqS6JB9zTfNOmXJ0Ziu299BY13RUi+1nYzFW2JvhCis/vRe9u/sCcFTueBSiTpJ8CeFGak9jSbG9M9s0VkyfIHy81VtyqfZdqDL16KxvH+vU48nsQqrNMjIoxOUk+RLCjdgLuLWe6Hr3UzcYN1NVbeFkdhEAg2LUG/UC8OoRjofeD5B+X3XpG25NvkxVFjJyZJFtIS4nyZcQbsQ2iuLdpz8enu23bE5HcOpMEaYqMwCD+3ZXNRaNxsO+8oCMfDnrW6vu60i6TD0KcTlJvoRwExZTJabcDECaq9blaK0P8XiVky+4NC1cXXie6rIidYNxM90D9QTWLLJ9VJIvIZxI8iWEmzDmpEHNnXNSbO/MVrwdGuJLz2AflaNx/BkZZerRgUajsY9+pZ4uQFEUlSMSwr1I8iWEm3AotpeRLwcWi8Kxmo7p8X3VazFRm3fYQPDQAjL1WBdbv6/iMhO5BRUqRyOEe5HkSwg3YSu29wrpg9YvSOVo3Evm+RLKK63d0uP7qT/lCODh5Y13r76AFN3XxZZ8gUw9CnE5Sb6EcAOKxYzhbE2xvUw5OjlWu97LTZIvAO+aui/juXQsVUaVo3Ev4T390XlZP2KOSLNVIRxI8iWEGzDlZqIYrVMzPlHxKkfjfmx3zHXz91ZlMe36+EQOsX5hqcZ49oS6wbgZrYeG6N7Wuq+U05J8CVGbJF9CuIHKrKP2r/VRQ1SMxP0oisKxmmL7wX1D3GrJJX3UYPvXlZlHG9iya7JNPZ69UE5phUnlaIRwH5J8CeEGDDXJlzYgBM9uvVSOxr2cv1hBQYl1Si/BjaYcAbS+gXj1jATAkHVM5WjcT79a/b5Saq3LKURXJ8mXECpTFAuG7BTAOuXoTiM77qB2sfYQN0u+4NLUo/HsCZTqKpWjcS/RfQKxXc5HTuWrG4wQbkSSLyFUVnUhG0tlGSBTjnWxJV8+3p4Od9C5C320tUZPMVdhyDmpcjTuRa/zJKyHtUZPiu6FuKRVkq8tW7Zw/fXXk5iYyKxZs/jggw+avO+KFSuYN2+e0+P79u0jLi7O6d+9997bGiEL4TYqa01XSfLlzNZcdXBMCFoP9xsV1Ede+pnJ1KOz/hHWhDn9bDEGY7XK0QjhHjxdPcC2bdtYsmQJd911F5MmTWLHjh0sXboUvV7Ptdde2+C+69evZ+3atYwfP97puePHj+Pr68u6descHg8MDHTaVoiOzF7v5ReEV/dwlaNxLwUlBs7llwPu1WKiNs+AYLxC+lBVcE6SrzoMiOjGlwfOYrYopGYWMDw2VO2QhFCdy8lXcnIys2bNYtmyZQBMnjyZ4uJiXnjhhXqTr9zcXJ599lm2bdtGQEBAndukpqYycOBAhg8f7mqIQrgtRVEwZFnrvfSRQ6Te6zJH3bS/1+X0UfHW5OvMcRRzNRqty2+tnUa/8CA0gAIcPJkvyZcQuDjtmJ2dTVZWFjNmzHB4fObMmaSnp5OdnV3nfsnJyRw7dox169YxePDgOrdJSUkhLk6aTYrOraogB3N5ESBTjnWxNVf11HowMLKbusE0wNZyQqkyYDyfrnI07sVP70WfHn4AHEqTonshwMXkKz3d+ibTt29fh8ejo6MByMjIqHO/BQsWsHXrVq644oo6nzebzZw8eZLz589z0003kZCQwJQpU1i7dq0s0Co6FYPUezXIVu8VFx2MzkurcjT1q90YV6YenQ2I6AbAqTNFUvclBC5OO5aWlgLg7+/YcdrPz/pXTllZWZ37DRgwoMHjnj59GoPBQEZGBo888gjBwcHs3LmTZ599lrKyMh588MFmxXnkyJFmbd+Z7N+/X+0QOoW2Oo++B7/CG7B46TmSnQ9nOvcdYc05j5UmCxk5JQCE+Jjc/loO1AehNRRz/vB3nNJFNrr9+UITBpPFvgRPc6SkprQkRNXoNdY+bWaLwkc7vqd/b73KEVm5+zXVUch5bD6Xkq/GRqE8PFo2sNarVy9ef/11Bg8eTM+ePQEYP348BoOB119/nfnz5zslfA1JSEjA29u7RbF0ZPv372fUqFFqh9HhtdV5VBSFrG9exQz4xwxlwOjRrf4a7qS55/HHY+eBHACumRDPqEHu3Xw27+wIyg7vRl+SQ9yI4Wg8Gh6py8gppqyiCh/v5r0Np6SmMHhQ3eUa7ioqporPD3yLAlQSzKhR6o/yyvtj62iL82g0Gjv9oIlL0462Yvny8nKHx20jXvUV0zfG39+fK6+80p542UyZMgWTyVTvdKYQHUl1cR7mUutIlz5a/Q8jd2MrtvfQWNtMuDtb3ZfFWIEpL1PlaNyL1H0J4cil5MtW65WVleXweGZmpsPzzXX8+HHeeecdqqocu0UbDAYAgoODW3RcIdyJodZagD6RknxdzvYh3S88CF+9l8rRNE7qvhrWv3bdl0nqvkTX5lLyFR0dTUREBJ988onD45999hkxMTGEhYW16LiZmZk89dRTfPnllw6Pb9u2jYiICMLDpReS6Pgqa1pMaHQ+6Hq37A+VzqqssopTZ4oAGDawZ8MbuwnP4N5o/a1/GFZK8uXEVnRvtigcP12objBCqMzlZjSLFy9m2bJlBAUFMWXKFHbu3Mn27dtJTk4GoKCggKysLAYMGNDkOq0pU6YQHx/P8uXLKSgooHfv3nz88cd88cUXrFq1SnohiU7B1lxVHzGo0fqgrubIqXwsNSWliR0k+dJoNOijhlB+7BsMWcdQFAsajazgZtM//NLSUD+fvMCw2I7xcxWiLbj8zpCUlMRTTz3F119/zeLFi/nxxx9ZsWIF1113HQC7d+9mzpw5HD16tJEjXaLT6VizZg3Tpk1j9erVLFq0iLS0NFavXs306dNdDVkI1VWXXKS6KBcAH6n3cmKbcvTUahjSAeq9bHxq2oVYKkupyj+jcjTuxc/Hi7Cauq/DUvclurhWacM8d+5c5s6dW+dzSUlJJCUl1bvv+vXr63w8JCSEp59+ujXCE8LtVGZd+mNEX6tWSFgdPHkBgLjoEPTNvBtQTbV/lpWZR9H1jFIxGvfTP6IbOfnlpNXUfel1HednK0RrkjFxIVRQmXEYAI2XHu8+/VSOxr0UlhrIOm/tIThsQA+Vo2kerx4RaP2s02uVpw+rHI37kbovIawk+RKinSmKQuXpQwD4RMej0br/nXztqfaUVEep97LRaDT4xCQCYMg8gmIxqxyRe+l3Wd2XEF2VJF9CtLPqwnOYS6wJhj5mqMrRuB9bvZe3TktsVMdrK2P7mVoM5RjPS0/C2vx9LvX7krov0ZVJ8iVEO6vMOGT/2rdvooqRuCdbvVd83+54eXa8t6jaP9PaP2thZZt6TJN+X6IL63jvbEJ0cBU1H8havyC8pCDbQW5BBecvVgCQ2MHqvWw8g3riFdIHwD69LC4ZEGGdejRbFFJPF6gcjRDqkORLiHakWMwYMq1rlvnEJErPusscTrtUB5Q4sGMmX8Cluq/sFCxVRpWjcS/9I7phu+r3p+apGosQapHkS4h2ZDyfgcVgXQvVR6YcnRw8aa0D8vPxol94N3WDcYH9Z2uuxpCdqm4wbsZP70VkL+u6vweOS/IluiZJvoRoR7VrgHyk2N6Boigcqhn5Gtq/O1qPjjsqqI9OgJrxHZl6dBYXbb2RIvN8KYWlBpWjEaL9SfIlRDuyfRB7hYThGdSx2ii0tTN5ZRSUWKfoEgd07HOj9fHHu09/QIru6xJX6y7Wgyek5YToeiT5EqKdWKqMGLKti2nLlKOzQw79vTpuvZeN7WdsOp+BuaJE5WjcS3SfQLy9rOuZ7pO6L9EFSfIlRDsxZKeC2Xprva0gW1xiazHRLcCbqJqaoI7sUoKtUFlzk4Ww8tR6MCCyG2Ad+VIURd2AhGhnknwJ0U7stT8aD/TRsp5jbRaLYm+6mTigR6e4C9Q7Ig6Npw6Qqce62KYei8qM9uWkhOgqJPkSop3YPoC9+/RH6+OvcjTuJe1MEWWVVUDHr/ey8fDUoY8cDEjyVRdb0T3AT3LXo+hiJPkSoh2YK0ow1Sw1I3c5Oqvd72nUoFAVI2ldtqnH6qJcqgrPqxyNe+nZzYfgAG9A+n2JrkeSLyHagbXmx1rXIsX2zvan5gIQ3TuAHt18VI6m9dSu7as8fVjFSNyPRqOxj36lZFzEVCWLkIuuQ5IvIdqBbdpJ46nDOyJO5WjcS0m5iRNZhQCMGtRL5Whal653DB41U8wy9egsLioEAFO1hZQMWWpIdB2SfAnRxhRFoTLjIAD6qMF41BRhC6sDx/Ow3ew2anDnmXIE0Gg87NPMlacPo1hkdKe2gVGXlhraVzP6KURXIMmXEG2s6uJZqousNS0+fYepHI37sU05+nhrGRzTXeVoWp9P3+EAWCpLMZ47pW4wbsZhqSFptiq6EEm+hGhjFWk/2b/2HTBKxUjcj8Wi2O90GzawJ16ene8tybf/CPvXFSf3qxiJe7IvNXSuhKJSWYRcdA2d751OCDdTkWb9wPXs1guv7uEqR+NeTp0torjMBHS+ei8bz8Du6Hr1BS5dC+KS2ksN/XxC7noUXYMkX0K0IYuh3L6kkO+AUZ2ieWhrcmwx0TmTL7g04mnKzaC6VArLa5OlhkRXJMmXEG2oIuMg1BRZ+w4YqXI07md/irXeK6p3AD2DO0+Licv5Drw03Vx7Glo4LjV04HgeFossNSQ6P0m+hGhDtmkmjZe3LCl0mdKKSy0mRsZ1rrscL+fdpz8evoEAVKTtUzka9zOkr7XlREm5iZPZhSpHI0Tbk+RLiDaiKBYqTx0ArM02pcWEowPH87ANcozuxFOOABoPrb3wvjLjMEp1lcoRuZf4vpfuct17RFYCEJ2fJF9CtBFjzinM5cWA47STsLLVe+l1Wob0C1E5mrZnq/tSqgxUZh1VORr3EuTvbW858f3RcypHI0Tbk+RLiDZSe3rJt7/Ue9VmsSj8lFq7xYRW5Yjank+/4aCxvuXKXY/O4mumHrNzy8gtqFA5GiHaliRfQrQRW2G1rldfPAM7X/NQV6SfLaaozNrTqTMtpN0Qrd4PfeRgwNrvS1GksLy2hH497F9/f0RGv0Tn1irJ15YtW7j++utJTExk1qxZfPDBB03ed8WKFcybN8/p8erqap5//nmuuuoqhg0bxm9+8xsOHZK10UTHUF1aiOl8OiB3OdZlf62lZDpzi4nL2a6F6qJcKJbaptrCevrRLcAbkLov0fm5nHxt27aNJUuWMGnSJF566SXGjh3L0qVL+eSTTxrdd/369axdu7bO5/72t7/x73//m4ULF5KcnIxWq2XevHlkZ2e7GrIQba7i1KVpJd+Bo1WMxD39cMz64RrZy5/QEF+Vo2k/DtfCmYPqBeKGNBqNvfD+WMZFyivlpgTRebmcfCUnJzNr1iyWLVvG5MmTeeqpp5g1axYvvPBCvfvk5ubyhz/8gb///e8EBAQ4PX/mzBk2btzI0qVLuf3225k6dSpvvPEGQUFBrFmzxtWQhWhztmVkPHwD8e7TX+Vo3MuFwkpOZBUBcEVCH3WDaWde3cPx7FYzzZotI/mXS+hnTb7MtZadEqIzcin5ys7OJisrixkzZjg8PnPmTNLT0+sdpUpOTubYsWOsW7eOwYMHOz2/d+9ezGYzM2fOtD+m0+mYMmUKX375pSshC9HmlOoqKjOsH6y+/Ueg8ej8xeTNsbdWPc+EoWEqRtL+NBrNpfU9c0+CqVLdgNzMgIhu9m733x2Wui/RebmUfKWnW2ta+vbt6/B4dHQ0ABkZGXXut2DBArZu3coVV1xR73GDgoIICXG8/Tw6OpqcnBwMBoMrYQvRpiqzjqFUWa9RWUjbme1DtWewD/0jglSOpv3ZrwnFjDb3mLrBuBlPTw/7Qts/peZiNltUjkiItuHpys6lpaUA+Pv7Ozzu5+cHQFlZWZ37DRgwoMHjlpWVOR2z9nHLy8vR6/VNjvPIkSNN3raz2b9fbmlvDc05jz7HPkEPKBoNJ0pAkZ+B3Zff/MCR9HwA+oVq+emnLrjUjrmablovNOYqKo7t4VR1YLMPkZKa0gaBuYcQH+tdsOWGaj74bC8xod5t9lry/tg65Dw2n0vJV2O3Snt4tGxgrbHjNndx4oSEBLy92+4X2F3t37+fUaNk5MVVzTmPisVM1lcvYwZ8YxLpf8XEtg2uA9m/fz8Gz14oinXk65fXDCOhf49G9uqccrNHU576HcFlp+k2cABovZq8b0pqCoMHOZdrdBaRUSb2HPkORYECYwA3jxraJq8j74+toy3Oo9Fo7PSDJi5NO9qK5cvLyx0et4141VVM3xT+/v5Ox6x93LpGxYRwB4YzqZjLiwDwGzxe3WDckG3KMchfx+C+Xbf3me3a0FQbIUe63dfm76sjpo91NNB2V6wQnY1LyZet1isrK8vh8czMTIfnm6tfv34UFRVRXFzsdNyIiAh0OlkjT7in8pS91i80HvjFjVM3GDdjqLLw84kLgPUuR61H80awOxPfASPto12a0z+oHI37ia+56/H8xQrO5JWqHI0Qrc+l5Cs6OpqIiAinnl6fffYZMTExhIW17E6mCRMmAPDpp5/aHzOZTOzevdv+nBDuRlEslKdaky+f6Hi0vs2v5enMTp41UF1TQD1+aNdqMXE5D50PhNbUvp45CGbpaVVb7W73Xx/MUTESIdqGSzVfAIsXL2bZsmUEBQUxZcoUdu7cyfbt20lOTgagoKCArKwsBgwY0OTpwvDwcG666Sb++te/UlFRQXR0NOvWraOkpIQFCxa4GrIQbcJ45jjmsgIA/AbLHwmXSzljbavgq/ckcUBPlaNxA2HxcC4FTZUB5dwxiBimdkRuo1eIL727+3L+YgVfHTjL3OlxaockRKtyOflKSkrCZDKxdu1aNm3aRGRkJCtWrOC6664DYPfu3Sxbtoy33nqLceOaPg3z9NNPExgYyGuvvUZFRQXx8fGsW7fO3sZCCHdTlvKd9QuZcnRirDJzMsfafmPM4N54ecqysvSKRfHQorGY0Zz+EUWSLwcjYkPZ/t1psnJLyTpfQlRvGUkWnYfLyRfA3LlzmTt3bp3PJSUlkZSUVO++69evr/NxnU7H448/zuOPP94aIQrRpqxTjtbkSx81BK1f1+tf1ZCfj+dRVW29i3l8YteecrTz8sYSEoM2/xRk/wzmatC2yltypzAitifbvzsNwJcHznL7LEm+ROchf34K0QqMZ09gLrVOOfrLXY5Ovqvpaq/z9GBUXKjK0bgPc89YADRVlXC+8/buaomewb5EhFpLVb78+WyjLYiE6Egk+RKiFZTbphzR4BtX98oNXVW12cIPR60tA0YOCkXvLaM7Nubu/VBqlp+Sux6djYi1Jurn8svJyClRORohWo8kX0K4SFEslNXc5aiPGoKnfzd1A3Izh07mU1phvZuvq9/l6MTTG3rWLLye/TNYqlUNx90Mj710Y8aen86oGIkQrUuSLyFcZMxJw1xiXTJHGqs627U/GwBPLYyLl+Trckpva7d6jakCzqeqHI17CQnU2xuufiVTj6ITkeRLCBfVnnL0kylHBxWGKr6t6WofF+6Dn0/Tl9HpMmruegTQZMjU4+VG1Ix+XSiq5ERWocrRCNE6JPkSwgWKoly6yzFyEJ4BwSpH5F6+O3wOU5UZgGF9fVWOxk156aFHP+vX2Qdk6vEyw2J7YlsLQaYeRWchyZcQLjBkH6O62LpkjjRWdWabcgzy19G/j17laNyX0mcIUDP1eLZzLyjcXEF+3vSP6AZYu91bLDL1KDo+Sb6EcEHpwV3WLzw88Y+fpG4wbia/qJJDadZauCtHRHTptRwb1XsQim2tx5NfqhyM+7FNPRaWGjmWcVHlaIRwnSRfQrSQxVRpr/fyHThK1nK8zJ6fzmCrj756VIS6wbg7Tx3UjH5x9jAYZDHp2hIH9sSWu++WqUfRCUjyJUQLlad8h1JlXTInYNhUlaNxL4qi2KccI0L9GVAzbSTqp0QOB0CjWCD9u4Y37mL8fbyIjbLWU35zMIeqarPKEQnhGkm+hGih0oNfAKD164Zv/xEqR+NeMnJKyDxvHb25elQkGo1MOTYqOBLFNwQAzcmvQNoqOBg9uBcAZZVV7D1yXuVohHCNJF9CtEBVwTkM2dblYPyHXoWmplWAsPpiX7b96yky5dg0Gg1KRKL1y+IcKMhSOSD3kjigJ741qyPY1nwUoqOS5EuIFig9tMv+dUDi1SpG4n7MZgt7Dljrcob270FosLSYaLKIRGzjXZo0KbyvzcvTg1E1o1+H0/I5f7Fc5YiEaDlJvoRoJsVipvTQbgC8wwai6xmpbkBu5ueTFygqNQJSaN9sPkGXen5l/ADmKnXjcTPjEy6tkPDp3kwVIxHCNZJ8CdFMlaePYC613u4uo17ObFOOOk8PJg4LUzmajkeJHAbU9Pw6c1DlaNxLnx5+RPcOAGDHj1mYzRaVIxKiZST5EqKZSg9ZC+01njr8pLeXg8JSA98esi4ndEVCH3z1spxQs/UahOJpbUgrPb+cXVEz+lVUamRfSq7K0QjRMpJ8CdEMZkM5Fcet6+/5xo1Fq/dTOSL38tn3mVTXjEZcN7GvytF0UFpPCIu3fp1zDCpkPcPaRsSG4u1lvcFFCu9FRyXJlxDNUH70a5RqEwABidLbqzaz2cIn354GoG9YIEP6hqgbUAdm7/mFAqe+VTcYN+Ot0zIyLhSAn47nkV9UqXJEQjSfJF9CNJGiKBTv3w6ANrAHPjEJKkfkXr4/ep78YmvT2esn9pPeXq4I6oPib11SR3N8F1ikqWhtVwy1Tj0qCnz+vRTei45Hki8hmqgy4xBVF2oWih51rfT2uszWbzIA8PPx4qqR4SpH08FpNCgxY6xfVhRC9gGVA3IvkaH+hPf0B+CzH7JksW3R4UjyJUQTFf/wMQAaL28CRkxXORr3knm+xL6I9vSxUeh1nipH1AlEJKJ4+QCgOfqpysG4F41GwxUJvQHrAu4/n7igckRCNI8kX0I0gSn/DJWnrKMPAYlXo/XxVzki92Ib9dJo4LoJUmjfKrReEDUSAE1+OuSnqxyQexkV1wsvT+tH2P/2pKkcjRDNI8mXEE1Q/ONW+9eBY65TMRL3U15Zxa6a3l6jBvWiTw+5A7S1KDGjUTTWt2nN0c9Ujsa9+Og9GRdvHf36+cQFMnKKVY5IiKaT5EuIRmhMFZTVdLT3HTAKXXepZ6pt574sDCZrQfj10l6idekDoc8Q69dZ+6G8QN143MxVIyOw3dfx/q6T6gYjRDNI8iVEI3Rnfra3lwgae4PK0bgXi0VhW82UY5/ufvYWAKL1KH3HAaBRLGhSd6ocjXvpEeTD8IHWu0K/OpBDXmGFyhEJ0TSSfAnRAMVcjT5zPwC60Cj0MUNVjsi9/HQ8j7MXrAscXzexLx4e0l6i1XULQwmuWT/0xB40ZpO68biZq0dZz41FUfhwzymVoxGiaVol+dqyZQvXX389iYmJzJo1iw8++KDB7cvLy3nqqaeYOHEiI0aMYOHChZw+fdphm3379hEXF+f07957722NkIVokvLU7/AwlgIQOOYG6V1Vi6Io/Pez4wD4eHsybYwsMN5W7KNfVZV0yz+qcjTuJbJXAAMjuwHWxbbLKiQ5Fe7P5fvBt23bxpIlS7jrrruYNGkSO3bsYOnSpej1eq699to693n44Yc5fPgwjz76KH5+fqxevZo777yTrVu3EhBgXTT1+PHj+Pr6sm7dOod9AwMDXQ1ZiCZRFIXi77cA4OEbiH/CZJUjci8HTlzgeJZ16ZsbJvXF31enckSdWO84FJ9uaCqL6H5+PyhzQSMTFzZTR0VyMrsIY5WZrd9mMGdanNohCdEgl5Ov5ORkZs2axbJlywCYPHkyxcXFvPDCC3UmX/v27WPPnj28/vrrXHnllQCMHj2aa665hg0bNnDPPfcAkJqaysCBAxk+fLirIQrRIpWnD2E8Z72FPXDkTDw8JbmwcRz10vLLqwaoHFEnp/FAiRmDJuVzvI1FWLJ+gujRakflNuKigwnr4UdOfjkffZnOTVcNQOclTZCF+3LpT6fs7GyysrKYMWOGw+MzZ84kPT2d7Oxsp32++eYb/Pz8mDhxov2xkJAQxowZw5dffml/LCUlhbg4+etFqENRFAp3vWP9WqsjaPQslSNyLwdPXiDltPXOu+sn9iPQTxLTNhc14lLT1QP/A4tF5YDch0ajsdd+lZSb+GKf82ePEO7EpeQrPd3a9K9vX8fby6OjowHIyMioc5/o6Gi0Wse/SqKiouzbm81mTp48yfnz57nppptISEhgypQprF27FkWRZSRE26s48aN91MsQMwatX5DKEbkPRVHYUDPqpddp+eVV/VWOqIvw9Ebpb/2jVVNyHjL2qhyQexkR25NuAd6Ate2E2SzJqXBfLiVfpaXWQmR/f8du335+1iaLZWVlTvuUlZU5bW/bx7b96dOnMRgMZGRksHDhQl5//XWmTZvGs88+y6pVq1wJWYhGKYqFwi83AOCh98MYM07liNzL4VP5HMuwjXr1JcjfW+WIupCY0VR71ox+/fwBmKvVjceNaLUeTBkZAcD5ixXs+DFL5YiEqJ9LNV+NjUJ5eDjndg3tY9u+V69evP766wwePJiePa09XMaPH4/BYOD1119n/vz5dSZw9Tly5EiTt+1s9u/fr3YIHY5XzlH886xv3OWRY1C89HIea1m3Iw8AL62GfsHlzTo3ch4vKThzFrOhAq1385LXwJ4J9Dz3I5ryi5z7ZhOFocPbJsAOKESn4K/3oMxgYd3HhwnUXEDnWf8Yg1yPrUPOY/O5lHzZ7kwsLy93eNw2gmV7vjZ/f3/OnDnj9Hh5ebk9ofL397cX49c2ZcoUNm3aREZGBkOHNr3fUkJCAt7NfIPrDPbv38+oUaPUDqNDUSxmzvywjipA6xfE4F8u5MDho3Ieaxw+lU9mnvX394bJ/blyYnyT95Xr0VG6tzeVxcV4+zVvOaYMi5keRSfRVBbRJ/dHek+4GeRmEDuDRy7vfJpKucHC6eIAbp0xqM7t5HpsHW1xHo1GY6cfNHFp2tFW65WV5Ti8m5mZ6fD85ftkZ2c7jYBlZmbatz9+/DjvvPMOVVVVDtsYDAYAgoODXQlbiHqVHtpFVcE5ALpNSMJDp1c5IvehKApvf5IKgM5Ly01TpNZLFR5alIHWP041lcVwfJfKAbmXUYNCCatZX3TzrjSKSo0qRySEM5eSr+joaCIiIvjkk08cHv/ss8+IiYkhLCzMaZ9JkyZRUlLCt99+a3+soKCAffv2MWHCBMCaiD311FMOdz+CtadYREQE4eGytp5ofUp1FUVfbQJAG9CdgJEzGtmja/n6YA5H0y8CcN2EGIIDJDFVTfhQFL/uAGiObIWqSpUDch8eGg2/mNwPAIPJzIbPUlWOSAhnLvf5Wrx4McuWLSMoKIgpU6awc+dOtm/fTnJyMmBNrLKyshgwYAD+/v6MGTOGsWPH8sgjj7BkyRK6devGqlWrCAgI4NZbbwWs04vx8fEsX76cgoICevfuzccff8wXX3zBqlWrpMu4aBMlBz6juiQfgOBJt0hfr1oMxmrWfmSdBgjy1zFnurSBUZWHB0rsVWgObEZjLEc59jkMu1HtqNzGoOgQYqOCOZFVyKd7M5l9ZX/Ceja9TliItuZyi+SkpCSeeuopvv76axYvXsyPP/7IihUruO666wDYvXs3c+bM4ejRS0tirF69mqlTp/Lss8/y2GOP0bt3b/79738TFGS9nV+n07FmzRqmTZvG6tWrWbRoEWlpaaxevZrp06e7GrIQTqrLCinc818APIN7EzBsqsoRuZd3d54gv9g67X/XdUPw9/FSOSJBnyEogb0A0BzZBqUXVA7IvfxiUl80gNmi8O+tx9QORwgHLo98AcydO5e5c+fW+VxSUhJJSUkOjwUFBfHMM8/wzDPP1HvMkJAQnn766dYIT4hGXfx8HRZjBQDdp81Do22VX41OISe/jP/tti5YHBvVjWvGRKkckQBAo0EZMhPN3rfQmKvg+/Uo1zwMMjMAQERoACMHhbI/NY/vDp8j9XQBg2JC1A5LCKCVFtYWoiOrOHWA8mPfAOAbNw6/2DEqR+ReXv/gCNVmCxoN3HtTIh4e8uHuNrpHo0QMB0CTcxQy96kbj5u5bkJftDXX6+pNP1NVLY1XhXuQ5Et0aZYqI/mfvA6ARudDjxl3qxyRe/nh2Hn2peQCMG1MFLFRcqexu1EGX4Oi8wVA88M7YKpQOSL3ERKoZ1rNSG3m+VLe++KkyhEJYSXJl+jSir5+j+oia3IRMuVWPAO7qxyR+zBVmVnzgbXI3s/Hi7uuH6JyRKJOOl+UwdMA0BhK0Pz0vsoBuZdpY6Po093aemLj58c5fa5E5YiEkORLdGGmC1kU7f0IAF3v/gSOulbliNzLO5+mcu6itYHybTMHyTJC7iw8EaV7jPXrE3vgQrqq4bgTT60Hc2fEodFYi++f/+9Psu6jUJ0kX6JLUhQL+dtfA0s1aDzoed19aDy0je/YRfx8Io/3d1kXFu8fEcR1E2LUDUg0TKNBSZiFotGiQUHz3b+t17YAIKpXAFePigTg1Jli/rfnlMoRia5Oki/RJRV/9wGG7BQAAsdch3effipH5D6Ky4wkb/gJAG+dliW3jUKrlbcKt+ffA2XARAA0RWfR/PyhygG5l2uviCE02Loo+TufpnKhuKqRPYRoO/KOKrqcysyjFOzeAFh7eoVcWXeblK5IURRWvfszBSXWJVnu+eVQIkKd12gVbqr/RJSAUKCm99eZgyoH5D68PD2YOz0ODVBVbeHDvYUy/ShUI8mX6FKqy4rI+yAZFAsarRe9kpbg4e2jdlhu45PvTvP90fMATEjsw/Sx0tOrQ9F6ooy8BUVrXZ1B8/UaKMtXOSj30TcsiMkjrMvTnbloYu2Wo43sIUTbkORLdBmKxUzeh89jLisEoPvMu/Hu7bz4e1eVdb6ENR9a727sEaTnd78aLkt5dUT+3VESbwBAY6pAs+dfYJb6L5vrJ/S1L7z90ZfpfLEvW+WIRFckyZfoMgq/2oTh9GEA/BOuJGD4NJUjch/llVWsWL8PU7W1meojt40iwFfWtuywwuJRokcDoLl4Gs3+TSoH5D50Xlru/kUC3l6Xmq+mZRepG5TociT5El1CxakDFH39HgBePSLoMeteGdWpUVVt4Zk3fyDrfCkAt0wdyND+PVSOSrhKGTwdJagPAJrUHdL9vpaQID3Thgeh0Viv/7+t+56iUqPaYYkuRJIv0ekZc9LI3fwcoKDx8rbWeen0aoflFhRF4cV3D3DwpLUuaFx8b267drDKUYlWofVEGXkziqf1Wtd8vQZyj6sclPsI767jxsn9AcgvNvCPt36kWgrwRTuR5Et0aqYL2Zz7719RTJUA9LxhMbqekSpH5T7Wb09h9/4zAMRFBbPk9lH2tfBEJ+AbjDLilygaDRpzFZqdL8LF02pH5TauGhHOqEHWu0OPpl9k1bs/Y7EoKkclugJJvkSnVVWUy7l3nsZSaZ1O6z5zIf5DJqoclfvY/m0Gm3Za17rr08OP5XePQ6/zVDkq0epCB6IMm40CaKoNaHb8PyjKUTsqt6DRaPj1tFgiQv0B+GJftiRgol1I8iU6perSQs698zTmsgIAgqfcRtBoWT7I5ssDZ3hl8yEAgvx1PLVwvCwf1JmFD0WJnwWAxliO5vN/QukFlYNyDzrP/9/evUdHUeUJHP9Wv9Khk3QSJDySkPBGw9MACgQGBeQhvqJ7WMQz6OLIOMy6yuQoOLqOrwWUGVBgmFVGjp5xHDbuOK6YAMIIOjIoRGF4MxDIAyKGvJ/9qrt/dNImBCSQkEonv885leq+t6rz60q6+le3bt0y88jdQ+ke7b85+bY9uaxJlwRMXFuSfIkOx1tZQsF7L+At8Y9X5Rx7N5Hj7jE4qvbjo8+zWfFuFrryj2D/n/NvpmfdpfeiA0schT7oFgC0mjK0T34NlUUGB9U+hHexsfDe4YEE7JOvcln7/n5JwMQ1I8mX6FDc3+VydsNiPIW5AISPnEr0LQ/IlY34O9e/k3GYN/5yAKUgNMTCs/92EwN7Rxkdmmgr/caj+o4FQKssRMt4Cc6fMjio9iHcUZeARfkTsK1f5rD2/f0yCr64JiT5Eh1G9clvOPP203jL/VfuhQ+fzHXTfyKJF+Dz6az+n32BPl6RYSH818/GM3xAN4MjE21K01CDJ6P63Ox/WluOtmW5DENRJ9xh42f3DQ/cA3Lrlzk89+bfKauUYShE65LkS3QIZXs38+3G/wpc1Rh9ywNcd/ujaCazwZEZr6zSxUsbvuKTr/ytgT26dmH5v6fQPy7S2MCEMTQNdcNU9KQZgasgTTvXwYEMUHKaLcJhY+F9IwKn4vf/8zxPrNrJyfxSYwMTHYokXyKo6e4aCjP+m6Itb/rv12ixEXNvGpHj7pEWL2D/8UIe+/UO9h45B0DfXk5e+fkEel0XZnBkwnCJo1Cj/jVwH0jTN//rHwvMXW1wYMaLcNj4j9kjGVHXMlxYUsOTqz9nR5bciki0DrmuXAStmpxDFG5ag7f0OwDMjki6/8ti7LEDDI7MeB6vzrubj/DnHScCjRljh/bk8X8dSRe71djgRPsR0x81/iH46j3/KchTu+HcUdTYByF2qNHRGSrEaubHM68nPiucTV9k4/bq/PqPX3PgZBEPzbqBMLn9lmgBSb5E0NHdtRR/+gfK92YGyuy9byDmzsewOKUP06mzZby+8RtO5JcB/isaf3LXEG67KUFaA0VT4TGolPmw70O089lo1aVo21eh+qegRs0GWxejIzSMpmncOiqe2G4O3sk4QrXLy9Yvc/jyUAE/uWsoE0fGymdKXBVJvkTQUEqn6uhuiv/6B7yl/tNomsVG9K0PEDFqBprWuc+iF5XV8IfMo2zfmxto7eob6yRtbjLx3cONDU60byFhqDH3o/L2oR3eiuZzo534G5w9hBqZCn1uBlPn/XwNSojmF/cns3HbMY7nlVJW6WbFu1ls35PLo/cOl6FaxBWT5Eu0e0opqk9kUbLzT7jPfX9ZvD3+errNWog1uqeB0Rmv1uXlzztO8OcdJ3C5fQCYTBp3T+zHAzMGY7XIRQeiGTQNeo9EdesL+z9CKzqFVl2C9sXvUQczUCPuht43Qic9yIl22vlp6jC+PvYdH+w4SVWth2+OF/KzV/7K1DG9uffWAYFxwoS4HEm+RLuldB812fso+dv/4jrz/Q2BTV0iiEr5FyJGTe/UrV1FZTVk7DrN5r+fprzKHSi/KakHD866gbgYae0SVyHUibpprr8V7NinaO4qtLICtJ3rUNG9UUNnQfxwMHW+rw9N00ge3J3BidFs+ls2uw9+i9enk/n302z9ModJyXHcd+sA+eyJy+p8nx7R7nnLi6jYv52KfdsDY3YBmEK64Lz5Lpyjb8cUEmpghMZRSnH4VDGb/pbNrgMFjUbg7hfnZP4dQxja/zoDIxQdQn0rWOwQ1Ok9aCe/QPPUohXnou38LSrUCf1TUP0nQHjn62fpsFuZPWUQNyf1ZPPuHI7mFOPTFdv35PHXvXkkD+7O5NHxjLmhBzartDyLpiT5Eu2Cr6qM6hNZVB3dTfXJb0B9P6q0ZrXjHD0T5813Yg7tfEeUuq44nlfCrn8U8PcDZ/m2qPFQAIMTorhzQj/GD++FySSdf0UrMluh3zhU72TUqS/RTu1G87rQasrgwMf+scF6Xo9KGAVxw6BL57pbQkLPCBbcM5T87yrY+mUOB04WoRTsPXKOvUfO4bBbSBkRyy3J8QxOiMJs7rwt9aKxVkm+Nm3axLp168jLyyM2NpYFCxZw9913X3L5qqoqVqxYwdatW6murmbUqFH88pe/JDExMbCM1+tlzZo1fPDBB5SWlpKUlMTixYsZNmxYa4QsDKZ8XlznTlOTvY/qf+7FdfYE0HiAR1v3PkSMnErYkAmYQjpXX4ri8loOnSziQPZ5vjr0LUVltY3qLWYTE0fGMiulDwPiO9cXnjCANQQGTkT1vRlVcBgtJwut7CwaCgoOoxUcBkB1TYDY4ajYJIhO8CdvnUBcTDj/dscQvi2qYuc3+ew7Xkit20dVrZctu3PYsjsHR6iV4QOu48ZBMYwcGEOM9A/r1FqcfGVkZJCWlsa8efNISUlh27ZtPPXUU9jtdqZPn37RdZ544gkOHDjAk08+icPhYM2aNfz4xz/m448/Jjzc37Lx8ssv88EHH5CWlkavXr3YsGEDDz74IB9++CHx8fEtDVu0IaX78Jaew/1dLrVnjuM6cxxXwUmU191kWVNoGI5BNxNx422E9OxnQLRtr6rGw+mCcnK+LedEXikHs4soOF/VZDlNg8EJ0Ywb1osf3RhLVLjdgGhFp2axQfwIVPwIVPk5tNwsOHsEzeNvjdWKcqAoB+0f/4cyWaBrAlzXF9WtH0TF+09RduC7TvTo6mD2lEGkThrAoewivjxcwLGcEpTyf853/aOAXf8oAKBbVCgD4iPpHxfJwPgo+sU5ZeywTqTFydfKlSuZMWMGS5YsAWDChAmUlZXx2muvXTT52rt3Lzt37uTNN99k4sSJAIwaNYrJkyfz3nvv8cgjj5Cfn8/GjRt59tlnmTNnDgApKSlMmzaN9evX8/zzz7c0bNHKdI8Lb/l5vGXn8ZYX4i07j6f4LJ7z+XiKzqJ8nkuua70uji4DRuEYMIqQ2IEd7pZAuq4or3JTVFbDueLqRlPut+V8V1JzyXWtFhM39Ilm7NBejB3ak+gISbhEOxHRHTVkJiTNQJWeQTt3DM79E62yEABN90LhSSg8iXbkEwCUyQwRPcDZ07++oys4uoIj2j+3hhj5jlqN1WJixMBujBjYjYpqN0dOFXH4dAn/zCuhutYL+EfNLyypCSRjAJHhIcR2C6PXdQ7iYsKIie7Cdc5Qop12oiPsWOS0ZYfRouQrLy+P3NxcFi1a1Kh82rRpZGZmkpeX16SV6osvvsDhcDB+/PhAWXR0NKNHj+azzz7jkUceYffu3fh8PqZNmxZYxmazMWnSJHbs2NGSkAX+TtsoHeXzgs+L8nlRPg/K6590rxvlqUV5XOgeF8pdi+6qRq+tRndVobuq8VVX4Ksux1ddhq+qLHBPxcvSTNhiErDHDSIkdiD2+MFYI7tf2zd8hXRd4dN1vD6F16dTUePjXHE1bo8Pj1fH7fFR6/ZS4/LhcnupcfuoqfVQWeOfqqr989JKF6UVtZRWuht1jP8hoSEWrk+MJqlvV5L6dmVAfKR02BXtm6ZBVBwqKg4GT0bVlEFxHlpJLpTkQ0UhWl0fTk33QekZ/wRc2ENRWULAHgH2cP8UEuYf5NUairKFgjUUrHZ/C5wlxD832/ynN00W/9xs8beumcygmf3xGSi8i40xST0Zk9QTXSnOfFfJ0ZxicgoqyC+soKzy+zMApRUuSitcHMouavI6mgbOsBCcDhsRjhDCHVYiHCGEhVrpYrfQJcRCqN1KaIiFEJuZEGvdZDNjtZiwWkxYzKbAY7PJJH1EDdSi5Cs7OxuAPn36NCpPSEgA4NSpU02Sr+zsbBISEjCbG3+h9O7dm8zMzMAyTqeT6OjoJq979uxZamtrsduNawHYlf4u2okvaNhHSbvKG9JqF/RzuvB5w7KGdReWaahGE4BN+Ti0GUzogXITOmZ0rjUFVGphFGvRFJvqJi2KQlM3vBVWOAIcUSh1BP+TBis2eS1/4YWbWCkVWNxfp1Dqgsd1y+mqbnldodc913Xln5TCV/e4ft7EBwVNy1ogNMRCj65d6NUtjD49I0joGUFizwhiorrIDlEEt1AnxDpRsUP8z30eVPk5fxJW8R1UFELVeaitbLr/87qgstA/XeBqPxVKq0/ENP8YZSYzaCYG+nxoB23+V9a07+vrf1t9WcMItIaRaA2CuiC6iyZ8Gmagd92EGegBuq7j9uq4PToen47Xp+P16lzyeK26bmq6iQBw1U3NEXgnWv38+7gbvoULR/Gvf6Y0jaLIwSQnJzfzN4p6LUq+KioqAAgLa3yTXofDP9pvZWVlk3UqKyubLF+/Tv3yP7QM+DvsX0nydfDgwWYvezlK1wk79jFhWnP/vTuWWmWhVtmo1m1UKDuVup1KZadCt1OqOyipm0r1Lvi4WItNx71pr6aB3WYi1GrCbtNw2M2E2U2EhZoJs5sJCzUR6bAQFWYm1GZqsEOrBFclZ06f5cxpI9/BtZeVlWV0CO1Gcf4Z3OXFaFcxXtbxQ623T2s7ViAWwmMhHFA6Vm8NFl8NNm8VVm81Zp8Ls8+FxefCrLsx6R5Muhez8l71b9WUD3y+i0aDp2nfyrZmBkLrpkaFwUBBZHEJe/aMw9SJ74BwNVqUfKnLtPZc7I/xQ+vUL3+5173Se2kNGTKEkJDW60uw9/z95B/6rGlTTDOOzS76zi54Pw3bt75/Xv9Ya7Cc/8jsYm1faBoutwerLQQdE0qrb/cyoWsmFGZ0zf/cp1nQNTM+zPg0Cz7Nglez4tWsgcduLQSPFoK6zKCmkXXTpVzsT6ddsN1+6M/7Q0doWt2RqFZXH5ibwFS3kNmkoWkaJpOGpvnLzSb/8/q5xWyqm/yPz5zJZ0C/RGxWM1aLvwk/NMSC3WbGXjcPDbEQGmKR+7z9gKysLDlCbqBywABcNc08Xd/A4UOHuSHphmsQUfuldB08tSh3DcrrQnnc4HWjPC7/3Oeu60LhCXSnQPehdC/oOuhe//5a6f7XUjplJSU4nRGB8vr9uf/7RzXYv1/wODBr0hTPRUob1V3mXV7JJmny8v5We/DVt/TrdS38yt+ar+qW09X3ZwjqzwyoC96W8v9oFNH3dQ1pVEQPYNbo0Vcd+8W4XK5WbTRpj1qUfNVfmVhV1fjoob4Fq76+obCwMPLz85uUV1VVBVq7wsLCmrxmw9e9WKtYWxo1YxbMmGVoDM0hX3atIyurlOTkBKPDEB1MWEQEYRERV7xel/x8unZvX/0kg9F3WVnEy/6xxaQ1++q0qJ2wvq9Xbm5uo/KcnJxG9Reuk5eX16R1KycnJ7B83759KS0tpaysrMkycXFx2GxyOa4QQgghglOLkq+EhATi4uLYvHlzo/KtW7eSmJhIr169mqyTkpJCeXk5u3btCpQVFxezd+9exo0bBxCYb9myJbCM2+1mx44dgTohhBBCiGDU4nG+Fi5cyJIlS3A6nUyaNInt27eTmZnJypUrAX9ilZubS//+/QkLC2P06NGMGTOGRYsWkZaWRmRkJKtXryY8PDwwpldsbCz33HMPL730EtXV1SQkJLBhwwbKy8t5+OGHWxqyEEIIIYRhWpx8paam4na7eeutt0hPTyc+Pp7ly5czc+ZMAHbs2MGSJUt45513uOmmmwBYs2YNy5Yt45VXXkHXdZKTk1m1ahVOpzPwui+88AIRERG88cYbVFdXk5SUxIYNGwLDWAghhBBCBCNNXe7SwiBWf8VEa1/tGCykw33rkO3YOmQ7tg7Zjq1DtmPruBbbsTN8d8vAHEIIIYQQbUiSLyGEEEKINiTJlxBCCCFEG5LkSwghhBCiDUnyJYQQQgjRhiT5EkIIIYRoQ5J8CSGEEEK0oRYPstqe1Q9h5na7DY7EOC6Xy+gQOgTZjq1DtmPrkO3YOmQ7to7W3o7139kdeBjSjj3IakVFBcePHzc6DCGEEEJcoYEDBxIeHm50GNdEh06+dF2nqqoKq9WKpmlGhyOEEEKIy1BK4fF4cDgcmEwds3dUh06+hBBCCCHam46ZUgohhBBCtFOSfAkhhBBCtCFJvoQQQggh2pAkX0IIIYQQbUiSLyGEEEKINiTJlxBCCCFEG5LkSwghhBCiDUny1ckUFBSQnJzMb3/7W6NDCTqFhYU888wz3HLLLYwcOZLU1FQyMzONDqvd27RpE7fffjvDhg1jxowZ/OUvfzE6pKCj6zrvvfced9xxByNHjmTKlCksXbqUyspKo0MLaj//+c+ZOnWq0WEEpT179jBnzhyGDx9OSkoKL774IlVVVUaHFTQ69L0dRWNKKZ5++mnZYV8Ft9vNww8/TEVFBY899hgxMTFs2bKFxx9/HJ/Px6xZs4wOsV3KyMggLS2NefPmkZKSwrZt23jqqaew2+1Mnz7d6PCCxvr161m1ahXz589n7NixnDp1itdff50TJ07w+9//3ujwgtKHH37IJ598Qu/evY0OJejs27ePhx56iFtvvZV169aRk5PDb37zG4qLi1m5cqXR4QUFSb46kT/+8Y9kZ2cbHUZQ+uyzzzh69Cjp6ekMGzYMgPHjx3P27FnefPNNSb4uYeXKlcyYMYMlS5YAMGHCBMrKynjttdck+WompRTr169n9uzZ/OIXvwBg3LhxREVF8cQTT3DkyBGuv/56g6MMLufOnePll1+mR48eRocSlFasWMGIESN47bXX0DSNcePGoes6GzZsoKamhtDQUKNDbPfktGMnkZeXx4oVK3jxxReNDiUoORwOZs+ezdChQxuV9+3bl9zcXIOiat/y8vLIzc3ltttua1Q+bdo0srOzycvLMyiy4FJVVcWdd97ZJMHv27cvgPz/XYVnnnmG8ePHM3bsWKNDCTrFxcXs3buXOXPmNLpn8ty5c9m2bZskXs0kyVcnoOs6ixcvZsaMGUycONHocILS2LFjeeGFFxrtbDweDzt37mTAgAEGRtZ+1bey9unTp1F5QkICAKdOnWrzmIJRWFgYzzzzDMnJyY3Kt23bBkD//v2NCCtopaenc+jQIZ599lmjQwlKx48fRymF0+nk8ccfZ8SIESQnJ/Pcc89RW1trdHhBQ047BjGv10t6evol62NiYpg8eTJvv/02+fn5/O53v2vD6IJHc7fjhV599VVOnz7N2rVrr2V4QauiogLwJw8NORwOAOl72AL79+/njTfeYMqUKfTr18/ocILGmTNnWLp0KUuXLiU6OtrocIJScXExAIsXL2bq1KmsW7eOY8eOsWrVKlwuF8uWLTM4wuAgyVcQc7lc/OpXv7pk/ZgxY0hMTGTVqlW8/vrrhIeHt11wQaQ527Fh8qWU4tVXX+Xtt99m/vz5TJkypQ2iDD5KqR+sN5mk4f1qZGVl8dOf/pS4uDheeuklo8MJGvUXHP3oRz9i2rRpRocTtDweDwA33ngjzz33HOA/M6CUYvny5SxcuJD4+HgjQwwKknwFMYfDwbFjxy5Z7/P5mDNnDtOnT2f8+PF4vd5Ana7reL1eLBb5F7jcdmzI7XazePFiPv74Y+bPn8+TTz55jaMLXvXJ/oWXn9e3eMnBwJXLyMhg8eLFJCYmsn79eqKioowOKWi8++67HDt2jI8++iiwL6w/QPB6vZjN5kbdCsTF1bdcX9iFJSUlhWXLlnHs2DFJvppBvnk7sIKCAvbv38/+/fubjK20evVqVq9e3eykQ/iThgULFvD111/z9NNPM2/ePKNDatfq+3rl5uYyaNCgQHlOTk6jetE8GzZsYPny5YwZM4a1a9dK8nqFtmzZQklJCSkpKU3qkpKSWLp0KampqQZEFlwSExMB/4FoQ/UtYpLANo8kXx1YTEwM77//fpPy++67jzlz5nDvvfcaEFVw8vl8PProo+zfv5+VK1fKMAnNkJCQQFxcHJs3b240kOXWrVtJTEykV69eBkYXXNLT01m2bBkzZ85k+fLl2Gw2o0MKOs8//3yTVti1a9dy5MgR1qxZQ1xcnEGRBZd+/foRGxtLRkYG999/f6D8008/xWKxMHLkSAOjCx6SfHVgNputydAI9WJiYi5ZJ5r605/+xFdffcXs2bPp0aMH+/btC9Rpmsbw4cONC64dW7hwIUuWLMHpdDJp0iS2b99OZmamDMR4BYqKinj55ZeJjY1l7ty5HD58uFF97969pfN4M9QPzdFQZGTkD+4nRVOappGWlsaiRYtIS0sjNTWVgwcPsm7dOh544AH5X2wmSb6EaIYtW7YAsHHjRjZu3Niozmw2N/lCFH6pqam43W7eeust0tPTiY+PZ/ny5cycOdPo0ILG559/Tk1NDWfOnGHu3LlN6l955RXuuusuAyITndXMmTOx2WysXbuWBQsW0LVrVxYuXMiCBQuMDi1oaOpylyQJIYQQQohWI9d6CyGEEEK0IUm+hBBCCCHakCRfQgghhBBtSJIvIYQQQog2JMmXEEIIIUQbkuRLCCGEEKINSfIlhBBCCNGGJPkSQgghhGhDknwJIYQQQrSh/wfaOYG3lnz07AAAAABJRU5ErkJggg==\n", + "text/plain": [ + "<Figure size 576x432 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "# smaller N\n", "prob_b = 0.08\n", @@ -1090,16 +1125,27 @@ "tamano_a = 1250\n", "tamano_b = 1250\n", "\n", - "plot_poder_estadistico(min_diff, prob_b, size_a, size_b)" + "plot_poder_estadistico(min_diff, prob_b, tamano_a, tamano_b)" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 32, "metadata": { "scrolled": true }, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 576x432 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "# smaller probability difference\n", "prob_b = 0.08\n", @@ -1107,7 +1153,7 @@ "size_a = 2500\n", "size_b = 2500\n", "\n", - "plot_power(min_diff, prob_b, size_a, size_b)" + "plot_poder_estadistico(min_diff, prob_b, size_a, size_b)" ] }, { @@ -1146,7 +1192,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 33, "metadata": {}, "outputs": [], "source": [ @@ -1201,9 +1247,17 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 34, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "tamaño de la muestra requerido para obtener un resultado significativo: 3834.5957398840183\n" + ] + } + ], "source": [ "tamano_muestra = calcula_tamano_muestra(prop1 = 0.1, min_diff = 0.02)\n", "print('tamaño de la muestra requerido para obtener un resultado significativo:', tamano_muestra)"