Skip to content
Permalink
Branch: master
Find file Copy path
Find file Copy path
TONY YIU Code for binomial dist blog 7898271 Jul 28, 2019
0 contributors

Users who have contributed to this file

313 lines (312 sloc) 122 KB
{
"cells": [
{
"cell_type": "code",
"execution_count": 200,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAA08AAAGyCAYAAAA8rf/0AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDMuMC4yLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvOIA7rQAAIABJREFUeJzs3Xl43WWd///nfc7JvjR7uiRNuqR70nRfacuiFgUpiigU0XEU8Scz14AgjNv4db5fBxnnQvjqWNEv4oKKKCgK4rC12FJKU5oW6L5kT5t938+5f38kjWmbtDnJWXKS1+O6ciXncz7LqyfN8s593++PsdYiIiIiIiIil+YIdgAREREREZFQoOJJRERERERkGFQ8iYiIiIiIDIOKJxERERERkWFQ8SQiIiIiIjIMKp5ERERERESGQcWTiIiIiIjIMKh4EhERERERGQYVTyIiIiIiIsPgCnYAf0pJSbHZ2dnBjiEiIiIiImPYvn37aqy1qZfbb1wXT9nZ2RQUFAQ7hoiIiIiIjGHGmOLh7KdpeyIiIiIiIsOg4klERERERGQYVDyJiIiIiIgMw7he8yQiIiIi/tPd3U1ZWRkdHR3BjiIyLJGRkWRkZBAWFjai41U8iYiIiMiIlJWVERcXR3Z2NsaYYMcRuSRrLbW1tZSVlTFjxowRnUPT9kRERERkRDo6OkhOTlbhJCHBGENycvKoRkpVPImIiIjIiKlwklAy2v+vKp5ERERERESGQcWTiIiIiEwI27dv54033hjVOWJjYy/aVlRUxKJFiwbd/7Of/SyHDh0a1TUv54Mf/CANDQ2X3Cc7O5uamppL7vPEE09w1113AbBt2zZ+/vOfD7nv5V7L5557jgcffBCAT3/60/zud7+75LUv9O1vf/u8x2vXrvXqeH9R8SQiIiIigfHkk5CdDQ5H7/snnwzo5X1RPHnrJz/5CQsWLPDrNV544QUSEhJ8es4777yT22+/fcjnL/Va9vT08OEPf5gHHnhgxNe/sHgK9OdtKCqeRERERMT/nnwS7rgDiovB2t73d9wx6gJqy5YtLFu2jIULF/LYY4/1b3/xxRdZunQpixcv5uqrr6aoqIht27bx8MMPk5+fz9/+9reLRkTOjSq1tLRw9dVXs3TpUnJzc/njH/942Rw9PT186lOfIi8vj5tuuom2tjYANm3aREFBQf/5v/rVr7J48WJWr17N2bNnASguLubqq68mLy+Pq6++mpKSEqB3xOYLX/gCV155JTNnzmTHjh185jOfYf78+Xz605/uv/bAUaWhXo+h/PSnP2XOnDls3LiRXbt29W//5je/yXe/+10AHn30URYsWEBeXh6f+MQnhnwt77nnHq688kruv//+80axAF5++WWuuOIK5syZw5///GeAi/a57rrr2L59Ow888ADt7e3k5+ezdevW8z431lruu+8+Fi1aRG5uLk899RTQW8xt2rSJm266iXnz5rF161astZf993tLxZOIiIiI+N9Xvwp9BUW/trbe7aPw+OOPs2/fPgoKCnj00Uepra2lurqaz33uc/z+97/nwIEDPP3002RnZ3PnnXdy9913U1hYyBVXXDHkOSMjI3n22Wd5++23ee211/jSl7502V/Ejx49yh133MHBgweJj4/nv//7vy/ap7W1ldWrV3PgwAE2bNjAj3/8YwDuuusubr/9dg4ePMjWrVv553/+5/5j6uvrefXVV3n44Ye5/vrrufvuu3nvvfd45513KCwsHNbrMZTKykr+7d/+jV27dvHSSy8NOb3wwQcfZP/+/Rw8eJBt27YN+VoeO3aMl19+mf/6r/+66BxFRUXs2LGD559/njvvvPOSHe8efPBBoqKiKCws5MkLiutnnnmGwsJCDhw4wMsvv8x9991HZWUlAPv37+d73/sehw4d4tSpU+cVg76i4klERERE/K9vNGXY24fp0Ucf7R/JKS0t5fjx47z55pts2LCh/14+SUlJXp3TWstXvvIV8vLyuOaaaygvL+8fJRpKZmYm69atA+C2225j586dF+0THh7OddddB8CyZcsoKioCYPfu3dx6660AfPKTnzzv2Ouvvx5jDLm5uaSnp5Obm4vD4WDhwoX9x1/u9RjKnj172LRpE6mpqYSHh/Pxj3980P3y8vLYunUrv/zlL3G5hr5N7Mc+9jGcTuegz9188804HA5ycnKYOXMmR44cGfI8l7Jz505uueUWnE4n6enpbNy4kb179wKwcuVKMjIycDgc5OfnD/r6jJaKJxERERHxv+nTvds+DNu3b+fll19m9+7dHDhwgCVLltDR0YG1dlgtqV0uFx6PB+gtmLq6ugB48sknqa6uZt++fRQWFpKenn7ZewNdeL3Brh8WFta/3el00tPTc9lzRUREAOBwOPo/Pvf4wuOHej28yT2Y559/ni9+8Yvs27ePZcuWDZk7JiZm2Ncxxpz3+gPDuv/SpUYAB74+l3p9R0PFk4iIiIj43//5PxAdff626Oje7SPU2NhIYmIi0dHRHDlyhDfffBOANWvWsGPHDk6fPg1AXV0dAHFxcTQ3N/cfn52dzb59+wD44x//SHd3d/9509LSCAsL47XXXqO4uPiyWUpKSti9ezcAv/71r1m/fv2w/x1r167lN7/5DdBbuHlz7EBDvR5DWbVqFdu3b6e2tpbu7m6efvrpi/bxeDyUlpZy5ZVX8tBDD9HQ0EBLS8tFr+XlPP3003g8Hk6ePMmpU6eYO3cu2dnZFBYW9l/jrbfe6t8/LCys//Mx0IYNG3jqqadwu91UV1fz+uuvs3LlymHnGC0VTyIiIiLif1u3wmOPQVYWGNP7/rHHereP0ObNm+np6SEvL4+vf/3rrF69GoDU1FQee+wxPvKRj7B48eL+6WjXX389zz77bH+Tg8997nPs2LGDlStXsmfPnv6Rk61bt1JQUMDy5ct58sknmTdv3mWzzJ8/n5/97Gfk5eVRV1fHF77whWH/Ox599FF++tOfkpeXxy9+8QseeeSREbwaQ78eQ5kyZQrf/OY3WbNmDddccw1Lly69aB+3281tt91Gbm4uS5Ys4e677yYhIeGi1/Jy5s6dy8aNG7n22mvZtm0bkZGRrFu3jhkzZpCbm8u999573vXvuOOO/umCA914443k5eWxePFirrrqKh566CEmT548zFdo9Iw/ulCMFcuXL7fnupuIiMjY9qs9o1v3MNbcumrkU5FEQsXhw4eZP39+sGOIeGWw/7fGmH3W2uWXO1YjTyIiIiIiIsOg4klERERERGQYVDyJiIiIiIgMg4onERERERGRYVDxJCIiIiIiMgwqnkRERERERIbBFewAIiIiIjI++PqWAyNt+f/Zz36We+65hwULFow6Q3Z2NgUFBaSkpAy5z7e//W2+8pWv9D9eu3Ytb7zxxqiv7S+bNm3iu9/9LsuXL78ou1yaRp5EREREZFz5yU9+4pPCabi+/e1vn/fYH4VTT0+Pz88JF2eXS1PxJCIi4561lrbOHs40dnDsbDMFRXW8drSKysb2YEcTkVFobW3lQx/6EIsXL2bRokU89dRTQO/ISkFBAQCxsbHcf//9LFu2jGuuuYa33nqLTZs2MXPmTJ577jkAnnjiCe66667+81533XVs3779outt2bKFZcuWsXDhQh577DEAHnjgAdrb28nPz2fr1q3914Te7z333XcfixYtIjc3tz/f9u3b2bRpEzfddBPz5s1j69atWGsvut6mTZv4yle+wsaNG3nkkUeorq7mox/9KCtWrGDFihXs2rULgB07dpCfn09+fj5LliyhubmZ7du3c9111/Wf66677uKJJ5447/wXZh/q9ZS/07Q9EREZ1w6UNfDM22V0uy/+xeRgWQP/dFUODmOCkExERuvFF19k6tSpPP/88wA0NjZetE9rayubNm3iO9/5DjfeeCNf+9rXeOmllzh06BCf+tSn+PCHPzzs6z3++OMkJSXR3t7OihUr+OhHP8qDDz7I97//fQoLCy/a/5lnnqGwsJADBw5QU1PDihUr2LBhAwD79+/nvffeY+rUqaxbt45du3axfv36i87R0NDAjh07ALj11lu5++67Wb9+PSUlJXzgAx/g8OHDfPe73+UHP/gB69ato6WlhcjIyGH9ey7M/vvf//6yr+dEp+JJRETGrR6PhxffPUNSTDjLs5KIjwojPtJFfGQYRbWtPL2vjAOlDSyZnhjsqCIyArm5udx7773cf//9XHfddVxxxRUX7RMeHs7mzZv794+IiCAsLIzc3FyKioq8ut6jjz7Ks88+C0BpaSnHjx8nOTl5yP137tzJLbfcgtPpJD09nY0bN7J3717i4+NZuXIlGRkZAOTn51NUVDRo8fTxj3+8/+OXX36ZQ4cO9T9uamqiubmZdevWcc8997B161Y+8pGP9J/XW8N5PSc6TdsTEZFx62BpI43t3WxeOJl1s1PInTaJrOQYEmPCWZyZwJRJkbxypIoejyfYUUVkBObMmcO+ffvIzc3lX//1X/nWt7510T5hYWGYvtFlh8NBRERE/8fn1hG5XC48A74PdHR0XHSe7du38/LLL7N7924OHDjAkiVLBt1voMGm4p1zLgeA0+kcck1TTExM/8cej4fdu3dTWFhIYWEh5eXlxMXF8cADD/CTn/yE9vZ2Vq9ezZEjR4b1b7rQcF7PiU7Fk4iIjEsea9lxvJrJ8ZHMSY+76HmHMbx/wWTqWrsoKKoPQkIRGa2Kigqio6O57bbbuPfee3n77bdHdJ7s7GwKCwvxeDyUlpby1ltvXbRPY2MjiYmJREdHc+TIEd58883+58LCwuju7r7omA0bNvDUU0/hdruprq7m9ddfZ+XKlSPKCPD+97+f73//+/2Pz023O3nyJLm5udx///0sX76cI0eOkJWVxaFDh+js7KSxsZFXXnll0HMOzO6r13M807Q9EREZl45UNlPd3MnNyzP7/+p8oTnpsWQlR/Pa0SqWTk8k3KW/KYqMxkhbi4/UO++8w3333YfD4SAsLIwf/vCHIzrPunXrmDFjBrm5uSxatIilS5detM/mzZvZtm0beXl5zJ07l9WrV/c/d8cdd5CXl8fSpUt58skn+7ffeOON7N69m8WLF2OM4aGHHmLy5MkcOXJkRDkfffRRvvjFL5KXl0dPTw8bNmxg27ZtfO973+O1117D6XSyYMECrr32WiIiIrj55pvJy8sjJyeHJUuWDHrOgdlvv/12n7ye45m51HBiqFu+fLk912lFRETGNl/eH8Zay7YdJ2np7OGe983F6Ri6IURRTSuP/e0UmxdOZsOcVJ9lCPQvkSLBcPjwYebPnx/sGCJeGez/rTFmn7V2+eWODfif2Iwxm40xR40xJ4wxDwzy/D3GmEPGmIPGmFeMMVkDnnMbYwr73p4LbHIREQkVp2taKa1v54qc1EsWTgDZKTHMTY9jx7Fq2rvcAUooIiKhKKDFkzHGCfwAuBZYANxijLnwDmb7geXW2jzgd8BDA55rt9bm970Nv6+kiIhMKDuOVRMT4WJZ1vC66L1vQTrt3W7+dqLaz8lERCSUBXrkaSVwwlp7ylrbBfwGuGHgDtba16y1bX0P3wRG1mtRREQmpIqGdo5XtbB+VjJhzuH9mJuaEEXutEm8caKW5o6LF32LyNDG8xIQGX9G+/810MXTNKB0wOOyvm1D+UfgLwMeRxpjCowxbxpjtvgjoIiIhLYdx6qJcDlYNXPoe68M5n3z0+nxeNh+TKNPIsMVGRlJbW2tCigJCdZaamtrh30T4cEEutveYBPPB/1qM8bcBiwHNg7YPN1aW2GMmQm8aox5x1p78oLj7gDuAJg+XYt1RUQmkpqWTt4tb+SKnFQiw5xeHZsSF8HS6Ym8dbqOjTmpxEeF+SmlyPiRkZFBWVkZ1dX6o4OEhsjIyBHfRBgCXzyVAZkDHmcAFRfuZIy5BvgqsNFa23luu7W2ou/9KWPMdmAJcF7xZK19DHgMervt+Ti/iIiMYX87XoPTYVg327tRp3PW56RQUFzPe5VNrPFy5EpkIgoLC2PGjBnBjiESMIGetrcXyDHGzDDGhAOfAM7rmmeMWQL8CPiwtbZqwPZEY0xE38cpwDrgUMCSi4jImNbW1cPbJfUsnZ5IXOTFo0ZZL/6BG7as5ZY12dywZS1ZL/7hon3S4iJJiQ3ncGVTICKLiEiICejIk7W2xxhzF/BXwAk8bq19zxjzLaDAWvsc8J9ALPB0300NS/o6680HfmSM8dBb9D1orVXxJCIiAByvasHtsSwdpMNe1ot/YNWDD+DqaAcg5kw5qx7svVtG8ebzl9DOnxLPGydq6eh2ez31T0RExrdAT9vDWvsC8MIF274x4ONrhjjuDSDXv+lERCRUHT/bTFSYk4zEqIuey9/2UH/hdI6ro538bQ9dVDwtmBLP347XcPRsM4szEvyaWUREQkvAb5IrIiLiax5rOXa2hZz0WBzm4t5E0WcvWl475PbMpGhiwp2auiciIhdR8SQiIiHvTGMHLZ09zEmPG/T5tvSpw97uMIZ5k+M5drYZt0d9h0RE5O9UPImISMg7drYZgJy02EGfL7zzy3ic589U9zhdFN755UH3nz8lno5uD6drWn0bVEREQpqKJxERCXnHzjYzdVLkoF32oLcpRNn6a+iKicMCXTFxlK2/5qL1TufMToslzGk4pKl7IiIyQMAbRoiIiPhSR7ebkro2NuSkXnK/xtnzaJw9b1jnDHc5mJ0ay5HKJq7Pm4IZZB2ViIhMPBp5EhGRkHaiqgWPhZwh1juN1Pwp8TS0d1PZ2OHT84qISOhS8SQiIiHt2NlmIsMcTE+K9ul5506Ow4C67omISD8VTyIiErKstRyvamFWaixOh2+n1sVFhpGZFK3iSURE+ql4EhGRkHW2uZPG9m7m+njK3jkLpsRT0dhBQ1uXX84vIiKhRcWTiIiErOPnWpT7qXiaPyUegMNnmv1yfhERCS0qnkREJGQdO9tMenwEk6IGb1E+WqlxEaTEhmvqnoiIACqeREQkRHX2uCmqbWOOn0adzpk/JZ7T1a10dLv9eh0RERn7VDyJiEhIOlXdittj/V48LZgSj9tajp3V1D0RkYlOxZOIiISkY2ebCXc6yEr2bYvyC2UmRRMT7uSQpu6JiEx4Kp5ERCTk2L6RoFmpMbgc/v1R5jCGuZPjOX62BY+1fr2WiIiMbSqeREQk5NS2dFHf1s2cyf6dsnfOnPRY2rvdlNW1BeR6IiIyNrmCHUBERMRbR/vWH81JC0zxNDstFgMcq2phenLMsI751Z4S/4YKsFtXTQ92BBGRoNPIk4iIhJwTVS2kxEaQGBMekOtFh7vITIpW0wgRkQlOxZOIiIQUt8dyuraVWanDGwHylZz0WMrr22np7AnodUVEZOxQ8SQiIiGlvL6Nrh4Ps1JjA3rduelxWHpHvUREZGJS8SQiIiHlVE0rADNSAjvyNDUhiuhwJ8c1dU9EZMJS8SQiIiHlZHULUyZFEhMR2J5HDmPISYvl2NlmtSwXEZmgVDyJiEjI6HF7KK5tY2aAR53OmZMeR2uXm8qGjqBcfzBnmjrYfbKGquYOrIo6ERG/UqtyEREJGSX1bfR4LDMDvN7pnJz03tbox6qamZYYFZQMA7V09vDErtM0dfQ2sUiKCWdOehxz0+OYmRpDmFN/IxUR8SUVTyIiEjJOVbdiCPx6p3NiI1xMS4ji2JlmrpybFpQM53is5emCUtq63Ny+JouGtm6OnW1mX3Edb56qJcxpuGlZJrnTJgU1p4jIeKLiSUREQsap6hamJUYRGeYMWoY56bFsP1pNe5ebqPDg5dh+tJrjVS3ckD+VeZPjAVg9M5lut4fTNa28+O4ZXny3koVT43EYE7ScIiLjicbzRUQkJHT1eCitaw/aeqdz5pxrWV4dvJblJ6tbeOXwWRZnTGJldtJ5z4U5HcxJj+OqeWnUt3XzXkVTkFKKiIw/Kp5ERCQkFNe14rbBW+90TkZiNJFhDo4FqWV5U0c3T+0tJSU2gi1LpmGGGFVaMDWepJhwdh6vViMJEREfUfEkIiIh4VR1Kw4DWcnRQc3hdBhmp8Zy/GxzwIsSt8fy1N5SOnvc3LpqOhGuoacNOoxh/ewUSuvbKalrC2BKEZHxS8WTiIiEhFPVLWQmRl+yYAiUOelxNHX0cKYpsC3LXzl8ltM1rdyweBrp8ZGX3X/p9ESiw5387XhNANKJiIx/Kp5ERGTM6+h2U97QHvQpe+eca1l+/Gzg1j2VN7Sz/Vg1y7MSWZqVOKxjwl0OVs1I4nBlEzXNnX5OKCIy/ql4EhGRMa+othWPhZmpwW0Wcc6kqDAmx0cGdN3T9qNVRIY5+GDuFK+OWz0zGYfDsPOkRp9EREZLxZOIiIx5p6pbcTkM05OCu95poDnpsRTXttHZ7fb7tc42dfBeRRNrZiZ73aY9LjKMJZkJvF1cT0tnj58SiohMDCqeRERkzDtV3cL0pGjCnGPnx1ZOehxuawPSsvz1Y9WEOQ1rZ6WM6Pj1s1Po8Vj2nK71cTIRkYll7PwUEhERGURbVw+VjR1jZr3TOdnJMcSEOzlQ2uDX69S3dnGgrIGV2UnERIzs3vZp8ZHMTY/jzZO1dLs9Pk4oIjJxqHgSEZEx7XRNKxaYNUbWO53jdBjyMhM4fKaZ9i7/Td17/Xg1BsP6nNRRneeKnBRau9zsL/FvsSciMp6peBIRkTHtZHUr4U4H0xKjgh3lIkszE3F7LO+UN/rl/M0d3ewrrmdpVgKTosJGda4ZKTFMS4hi54lqPLpprojIiKh4EhGRMe1UdQtZydG4HGPvR9bUhEjS4iLYX1Lvl/PvPFGD22PZMMpRJwBjDGtmJlPT0kVFQ7sP0omITDxj7yeRiIhIn+aObqqaO5k1xtY7nWOMYcn0RIrr2qht8e19lNq6ethzuo68jEkkx0b45Jw56b2v46nqVp+cT0RkolHxJCIiY9aJqt5OdmPl/k6Dyc9MwAD7fdw4YvepWrp6PGyck+azc8ZFhpEWF8HJAHQIFBEZj0bWtkdERILuV3tKgh3B7w5VNhEf6WJqwthb73TOpKgwZqXGsr+knqvnpWGMGfU5O3vcvHGilvmT45g8KdIHKf9uVmosBcV19Hg8Y3IqpIjIWKbvmiIiMiZ1uz0cO9vM/CnxOHxQkPjTkukJ1Ld1U1zb5pPz7T1dR3u3m41zfTfqdM6s1Bi63ZbSOq17EhHxloonEREZk05UtdDttiycOinYUS5rwdR4wp0O9peOvnFER7ebHceqmZUaw/SkaB+kO9+MlFgMaOqeiMgIqHgSEZEx6VBFE5FhDmakjN31TudEuJwsnBrPO+WNo74J7evHqmntcvOBhZN9lO58UeFOpiZEcUrFk4iI11Q8iYjIeay1lNe38+eDFewr9k8L7stxeyyHzzQxb3I8TsfYnrJ3zpLpiXR0ezhypnnE52ho62LniRryMxPISPT9qNM5s1JjKa1rp6tndIWeiMhEo4YRIiICQGtnD4WlDewrrudMU0f/9m63h9UzkwOapbiulbYuN/OnxAf0uqMxMzWG+EgX+0vqyZ02sqmGLx06C8D7FqT7MtpFZqXG8PrxaopqW5mTHufXa4mIjCcqnkREJrjG9m7+fLCCI5XNuK0lIzGKDy+eyqJpk3jm7TKeO1CB0xhWzEgKWKbDFU24HIY56WPz/k6DcRhDfmYiO09U09LZQ2yEdz9iyxvaKSxt4IqcVBKjw/2UsldWcgxOYzhZ3aLiSUTECyqeREQmuL+8W8nRM82smZXM0qxEJsf/vTX2rSun8+SeEp4tLMcYWJ7t/wLKWsuhyiZmp8US4XL6/Xq+tGR6Aq8fr+ZAaQPrZqcM+zhrLX95p5KocCeb5qb6MWGvcJeDzKRo3SxXRMRLWvMkIjKB1bZ08k5ZI2tmJvPB3CnnFU4ALqeDW1dNJyctlmf3l/N2if/XQFU2dlDf1s2CEJqyd056fCTTEqLYV1yPx9phH3f0bDOnalq5el4akWGBKRhnpcVQ0dBOW1dPQK4nIjIeqHgSEZnAdhyrxukwrMsZepQkzOngttVZzEiN4ff7yigsbfBrpkOVTRhgXggWTwDrZidzpqmD5w9WDmt/t8fyl3fPkBwTzsoZgVtbNislFgucrtHok4jIcKl4EhGZoBrbu9lf0sCyrETiI8MuuW+Y08Htq7PJTonh6YJSv/7CfbiyiazkaK/XDI0V+ZmJrJ+dwu5Ttew6UXPZ/QuK66hu7uTaRZMD2lkwIymKcKdD93sSEfGCiicRkQnqb8ersVg25AxvjU24y8Hta7JIiA7jD4Xl9Hh83+a6rrWLysaOkJyyN9DmRZNZMCWeF96p5FBF05D7tXe5eflwFdnJ0QHvLOhyOMhOieak1j2JiAybiicRkQmopbOHvUV15GcmkBgz/M5uES4n1+dNpbq5k13HLz+q4q1Dlb2FRii1KB+MwxhuXp7JtMQonioooay+7bznPdZSUFTH914+RltnD9cumoIxgb+f1cyUWKqbO2lq7w74tUVEQpGKJxGRCeiNEzX0uC0b5vSOOmW9+Adu2LKWW9Zkc8OWtWS9+Ichj503JZ4FU+J59WgV9a1dPs11qKKJyfGRJMdG+PS8wRDucvDJ1VnERLj4xe5i6tt6X6sTVS384LUTPLO/nMSYcO7cOIvMJN/cENebzyPArLTeVvCnajR1T0RkOFQ8iYhMMB3dbnafqmXh1HjS4iLJevEPrHrwAWLOlGOsJeZMOasefOCSv3hflzcFg+FPByt8lquls4fi2lYWTA3tUaeB4iLD+NSabLo9Hn72RhE/313E47tO097t5hMrMvn8hpk+LZy8/TxOmRRJVJiTk1WauiciMhwqnkREJpg3T9XS2eNh09w0APK3PYSro/28fVwd7eRve2jIcyREh3P1/DSOnGm+5JoebxypbMJCyK93ulB6fCS3rsyipqWT0zWtfGDhZO6+Zg55GQk+nao3ks+jwxhmpsZwsroF60VrdRGRiSo0WxmJiMiIdPV42HmihjnpsUxNiAIg+uzgo0dDbT9n7awU3i6p588HK5idFku4a3R/jztU2URCVBhTJkVefucQMzstln+6KoeYCJffugiO9PM351W8AAAgAElEQVQ4MzWW9yqaqGvtGhfTJUVE/EkjTyIiE8jeojrautxc2TfqBNCWPnXQfYfafo7TYdiSP42G9m5ePXJ2VLnKG9o5eqaZxZm+HY0ZS9LjI/3afn2kn8dZqTEAnFLXPRGRy1LxJCIyQXisZeeJGrKTY8hKjunfXnjnl/E4z/+l3uN0UXjnly97zqzkGJZlJbLzRA1nmjpGlMtay58OVBAd4WLjnOG1TZeLjfTzmBobQXyki5NqGiEiclkqnkREJojy+nYa27tZNSPpvO3Fm7dQtv4aumLisEBXTBxl66+hePOWYZ1388LJRLicPPt22Yju/VRY2kBJXRsfWJBOZJjT6+Ol10g/j8YYpifHUFrXdsn9REQkCGuejDGbgUcAJ/ATa+2DFzx/D/BZoAeoBj5jrS3ue+5TwNf6dv3f1tqfBSy4iEiIO3a2GQPk9LWnHqhx9jwaZ88b0XljIlzckD+V3+wt5fmDldyQP23Yx3Z2u3nxvTNkJEaxNCtxRNeXvxvp5zEzMYp3yxtp6ezx69RCEZFQF9CRJ2OME/gBcC2wALjFGLPggt32A8uttXnA74CH+o5NAv4NWAWsBP7NGKOftCIiw3TsbDMZiVFE++GX47yMBK7ISWHP6Tr2FtUN+7jXjlbT3NHD9XlTcYzTtU6hICOxt116mUafREQuKdDT9lYCJ6y1p6y1XcBvgBsG7mCtfc1ae+6795tARt/HHwBestbWWWvrgZeAzQHKLSIS0to6eyirbycnPc5v1/jAwsnkpMXyXGEFJbWXbz5Q09LJrhM1LJ2e6LN7HcnITEuIwmGgtL798juLiExggS6epgGlAx6X9W0byj8Cf/HmWGPMHcaYAmNMQXV19SjjioiMDyeqW7DAHD8WTw5j+PiKTCZFh/HknhKa2rsvuf/zBytxOQ0fWJjut0wyPOEuB+nxkZTVa+RJRORSAl08DTYnY9C78hljbgOWA//pzbHW2sestcuttctTU9W1SUQEeqfsRYU5yUiM8ut1osNd3LY6i84eD0/uKabHPXgDiSNnmjh6tpmr5qURFxnm10wyPBmJUZTWt+lmuSIilxDo4qkMyBzwOAO46O59xphrgK8CH7bWdnpzrIiInM9jLcfOtpCTHhuQdUWT4yO5aVkGpfXt/PFARf8v4x5r6XF7aO9y8/zBSlJjI1gzK9nveWR4MhKj6ej2UNvSFewoIiJjVqBb6uwFcowxM4By4BPArQN3MMYsAX4EbLbWVg146q/Atwc0iXg/8K/+jywiEtrONHbQ0tnDnDT/Tdm70KJpk7hybiqvHa3mQGkDHmvxXDCg8Q9rs3E5dMeMsSKzr2lEaX0bKXERQU4jIjI2BbR4stb2GGPuorcQcgKPW2vfM8Z8Cyiw1j5H7zS9WODpvrvMl1hrP2ytrTPG/Du9BRjAt6y1w2/pJCIyQR0/2wzA7PSLW5T709Xz04mJcNHY3o3TYXAa0/veYUiJjfBr8wrxXlp8BOFOB2X17SyZrma2IiKDCfjNHKy1LwAvXLDtGwM+vuYSxz4OPO6/dCIi48+xqhamTIokPsBrixzGsHZWSkCvKSPnMIZpfeueRERkcJovISIyjnV0uymubfVrlz0ZPzISo6hs7Biy0YeIyESn4klEZBw7Vd2Cx0JOgKfsSWjKSIzG7bFUNnYEO4qIyJik4klEZBw7draFCJeD6boJrQxDZl8re93vSURkcCqeRETGKWstx6qamZUaq652MiyTosKIi3BRVt8e7CgiImOSfpqKiIxT1c2dNLR1a72TDJsxhoykaDWNEBEZgoonEZFx6lhVC6D1TuKdzMQoalq6aO9yBzuKiMiYo+JJRGScOn62mdS4CBKjw4MdRUJIRt/NcrXuSUTkYiqeRETGoa4eD6drWpmTplEn8U5GX9OIUq17EhG5iIonEZFx6HRNKz0eq/VO4rXIMCepsREaeRIRGYSKJxGRceh4VTMuhyE7JSbYUSQEZSZFUVrfjrU22FFERMYUFU8iIuNQUW0r05OiCXPq27x4LyMxmtbOHhrau4MdRURkTNFPVRGRcaaz201lQwdZyboxroxMZl/TiNI6Td0TERlIxZOIyDhTWt+OBbKSNWVPRiZ9UgQuh9HNckVELqDiSURknCmubcUA05M08iQj43I4mDIpUjfLFRG5gIonEZFxpriujfT4SCLDnMGOIiEsMymaioZ23B41jRAROUfFk4jIOOKxltK6Nq13klHLSIym220529QR7CgiImOGiicRkXHkTGMHnT0eFU8yapl9N8vVuicRkb9T8SQiMo4U17YCahYho5cUE050uFM3yxURGUDFk4jIOFJc10Z8pIuEqLBgR5EQZ4whIzFKTSNERAZQ8SQiMo4U17aRlRyDMSbYUWQcyEiMpqqpk85ud7CjiIiMCSqeRETGiYa2Lhrbu7XeSXwmMzEKC5Q3aN2TiAioeBIRGTeK63qnV2Ulab2T+EZGYm8hrqYRIiK9VDyJiIwTxbVthDsdTJ4UGewoMk7ERLhIignXuicRkT4qnkRExoni2lYyk6JwOrTeSXwnIzFKI08iIn1UPImIjAOd3W7ONHaoRbn4XGZiNI3t3bpZrogIKp5ERMaFkvo2LJCVpGYR4lsZfTfLLSxtCHISEZHgU/EkIjIOFNe2YYBMFU/iY1MTonAYOKDiSURExZOIyHhQUtvG5EmRRIY5gx1FxpmwviYkGnkSEVHxJCIS8tweS0l9m+7vJH6TmRjNwbJGPB4b7CgiIkGl4klEJMSdaeqgq8ej+zuJ32QkRtPS2cOpmpZgRxERCSoVTyIiIa64thVAI0/iN5l9TSP2l2jqnohMbCqeRERCXHFtG5OiwkiIDg92FBmnUuIiiI1wcaBMxZOITGwqnkREQlxJXRvT1WVP/MhhDHkZk9Q0QkQmPBVPIiIhrKGti8b2bk3ZE7/Lz0zgSGUzHd3uYEcREQkaFU8iIiGsqLYNgOxkNYsQ/1qcmUCPx/JeRWOwo4iIBI2KJxGREFZU20qEq/c+PCL+tCQzAYDCUhVPIjJxqXgSEQlhRTWtTE+KxmFMsKPIOJcWH8mUSZEc0LonEZnAVDyJiISotq4eqpo7yU7RlD0JjMUZCWoaISITmoonEZEQVaz1ThJg+dMTKKlro661K9hRRESCwqviyRgT668gIiLineLaVpzGkNF3A1MRf1uc0bvuSVP3RGSi8nbk6Ywx5kfGmCV+SSMiIsNWVNvGtMQowpyaRCCBkZcxCYdBU/dEZMLy9ifu94DrgAJjzF5jzGeMMbq5iIhIgHV0uymvbydb93eSAIqJcJGTFseBMhVPIjIxeVU8WWu/BkwHPgbUAT8GKowx/9cYs8gP+UREZBCFpQ24rdV6Jwm4JdMTeLu4HrfHBjuKiEjAeT3Xw1rrttY+Y639AJAD/JDeYuqAMWanMeY2Y0yYr4OKiMjfFRTVATBdI08SYGtmJdPU0aOb5YrIhDTaifK1QAW9o1AGmAz8DDhhjFkzynOLiMgQ3iqqJz0+guhwV7CjyASzdlYKADtP1AQ5iYhI4I2oeDLGrDLGPA6UA98GdgFLrbWzgVygBHjMZylFRKSf22N5u7ieLE3ZkyBIjYtg3uQ4dql4EpEJyNtW5V8wxhQCbwBrgK8CGdbaz1lrCwGstYeArwPzfR1WRETgcGUTLZ09Wu8kQbN2Vgp7i+rp6HYHO4qISEB5O/L0CHASeL+1dr619hFr7WCTno8D/zHqdCIicpG9feud1GlPgmV9TjJdPR72FdcHO4qISEB5O1k+21pbcbmdrLXl9I4+iYiIjxUU1TMtIYqE6PBgR5EJauWMZFwOw64TNaybnRLsOCIiAePtyFO0MWb9YE8YY9YZY2b5IJOIiAzBWstbRXWsyE4MdhSZwGIjXORnJmjdk4hMOCOZtveRIZ67EXh4dHFERORSSuraqG7uZHl2UrCjyAS3bnYK75Q30tjWHewoIiIB423xtALYPsRz24FVowkjIiKX9tbp3vVOK2eoeJLgWjc7BY+F3adqgx1FRCRgvC2e4oGOIZ7rAiaNLo6IiFxKQVE9k6LCmJ0aG+woMsHlZyYQHe7U1D0RmVC8LZ5OAVcO8dyVQPHo4oiIyKXs7Vvv5HCYYEeRCS7c5WDVjCR2nVTxJCITh7fF0y+Be4wxnzfGhAEYY8KMMZ8H7gZ+7uuAIiLSq6alk1M1rVrvJGPGutkpnKpupbKxPdhRREQCwtvi6TvAX4AfAm3GmAqgte/xC8CDvo0nIiLnFPTd32mFiicZI861Kd91QuueRGRi8Oo+T9ZaN7DFGPN+4H1AMlAD/I+19mU/5BMRkT5vna4nwuUgd5qWl8rYMDc9juSYcHadqOGmZRnBjiMi4nfe3iQXAGvt/wD/4+MsIiJyCXtO15KfmUC4y9tJAyL+4XAY1s5OYeeJGqy1GKO1eCIyvo34J7AxJskYM/XCN1+GExGRXmcaO3ivoomNc1ODHUXkPOtnJ1Pd3MmJqpZgRxER8TuviidjTJwx5sfGmGagGigd5O1y59hsjDlqjDlhjHlgkOc3GGPeNsb0GGNuuuA5tzGmsO/tOW+yi4iEsteOVgFw9bz0ICcROd/aWb3rnnaqZbmITADeTtv7PnAz8ATwDtDpzcHGGCfwA3rXS5UBe40xz1lrDw3YrQT4NHDvIKdot9bme5lZRCTkvXqkimkJUcxJ1/2dZGzJTIomKzmaXSdq+Yd1M4IdR0TEr7wtnq4Fvmyt/b8jvN5K4IS19hSAMeY3wA1Af/FkrS3qe84zwmuIiIwrHd1udh7vXZCvNSUyFq2dlcKfDlTQ4/bgcmpNnoiMX95+h3MAh0dxvWmcP7WvrG/bcEUaYwqMMW8aY7aMIoeISMh481Qt7d1urpqfFuwoIoNaPzuFls4eDpQ1BjuKiIhfeVs8/Rb40CiuN9ifTK0Xx0+31i4HbgW+Z4yZddEFjLmjr8AqqK6uHmlOEZEx49UjVUSFOVkzMznYUUQGtWZWMg4Drx45G+woIiJ+5W3x9GfgemPMY8aYLX3NHc57u8zxZUDmgMcZQMVwL26treh7fwrYDiwZZJ/HrLXLrbXLU1PVlUpEQpu1llePVLFudgqRYc5gxxEZVFJMOFfOTeO3BWV0uzXrXkTGr5EUTzOBzwLPAK8NeNve9/5S9gI5xpgZxphw4BPAsLrmGWMSjTERfR+nAOsYsFZKRGQ8Ol7VQll9O1dryp6McVtXT6e6uZOXD2n0SUTGL28bRrxvNBez1vYYY+4C/go4gcette8ZY74FFFhrnzPGrACeBRLpHeX6X9bahcB84Ed9jSQcwIMXdOkTERl3Xjnc26L8yrkqnmRs2zgnjWkJUTy5p4Rrc6cEO46IiF94VTxZa18Z7QWttS8AL1yw7RsDPt5L73S+C497A8gd7fVFRELJq0fOsnBqPJMnRQY7isglOR2GW1Zm8t3/OcbpmlZmpMQEO5KIiM+NqJ9o3xS6zcaYrcaYxL5tYb6NJiIysTW0dbGvuJ6r52nUSULDzcszcTkMv36rJNhRRET8wuviyRjzH/Q2eXgB+Dlw7o54zxtjvubDbCIiE9qOY9V4LFw1Pz3YUUSGJS0+kvcvTOfpglI6ut3BjiMi4nNeFU/GmPuBu4H/oLdhw8DW439idG3MRURkgFcOV5ESG07etEnBjiIybFtXZVHf1s2L754JdhQREZ/zduTpDuDfrbXfAt664LnjwGyfpBIRmeB63B62H61i09w0HI7BbpEnMjatmZnMjJQYfvlmcbCjiIj4nLfFUwbwxhDPdQGxo4sjIiIA+4rraero0XonCTkOh+HWldMpKK7nyJmmYMcREfEpb4unCmDhEM/lAkWjSiMiIgC8erSKMKdhfU5KsKOIeO2jyzIIdzn41R41jhCR8cXb4ul3wDeMMasGbLPGmFnAvcBTPksmIjKBvXq4ipUzkoiLVCNTCT1JMeF8KHcKz7xdTmtnT7DjiIj4jLfF0zeBE/RO3Tvct+03wLvAaXobSYiIyCiU1LZxvKqFq+apy56Erq2rptPS2cOfDlQEO4qIiM94VTxZa1uBDcBngbeB7cBB4C7gamttp68DiohMNH8sLAfQeicJacuyEpmbHscv9xRjrQ12HBERn/D6Pk/W2h5r7U+ttZ+w1l5lrf2Ytfb/WWu7/RFQRGQiae9y88QbRWyam0p2Skyw44iMmDGGT63N5t3yJn70+qlgxxER8QmviycREfGfp/eVUtvaxRc2zgp2FJFRu2VlJtcvnsqDfznCi+9WBjuOiMioubzZ2RhzHLjU2Lu11s4dXSQRkYmp2+3hRztOsSwrkZUzkoIdR2TUjDH85015lNe38S9PFfLUpCgWZyYEO5aIyIh5O/K0Z5C3E0AKEN73WERERuD5g5WUN7TzhY2zMEY3xpXxITLMyWO3LyclNoLP/ryA8ob2YEcSERkxbxtG3Gat/eQFbx8EZgNVwPN+SSkiMs5Za/nh9pPMSY/lKjWKkHEmJTaCn356BR1dbv7xib00d2iZtIiEJp+sebLW1gEPAf/mi/OJiEw0rx2t4ujZZu7cOAuHQ6NOMv7kpMfx37ct5XhVC//06/30uD3BjiQi4jVfNoxoA6b78HwiIhPGD7efZFpCFNcvnhrsKCJ+c0VOKt+6YSHbj1az9Sd7+P2+Mo1CiUhI8aphxGCMMQ5gAfAN/n7jXBERGaa9RXXsLarnm9cvIMypJqgyvm1dlUVnt4f/t/M0X3r6ABHPOrhqXhrXL57KVfPSiAxzBjuiiMiQvO22183F3fYcgAFagA/5KJeIyITxw+0nSYoJ5+MrNHgvE8Nn1s/gH9Zl83ZJA386UMGfD1byl3fPEB3uZOHUeBZOncSCqfEsnBpPTloc4S79UUFExgZvR56+w8XFUwdQDDxvra33SSoRkQnicGUTrx6p4kvvm0NUuP7iLhOHMYZlWYksy0rk69ct4M1Ttbx06CzvlDfy24JS2rrcAIQ5Detmp/DvNywiMyk6yKlFZKLzqniy1n7NX0FERCaibTtOEhPu5PY12cGOIhI0TkdvgbRudgoAbo+luLaV9yqaeKe8kV/tKWHz917nqx9awC0rM9XKX0SCRuPgIiJB8sPtJ/ljYQW3rcliUnRYsOOIjBlOh2FmaizXL57KVz44nxf/5QoWZybwlWff4VM/3Utlo+4VJSLB4e2ap8e82N1aaz/vZR4RkXHPWstDfz3KD7ef5PrFU7n3/XODHUlkTMtIjOaX/7iKX+4p5j9eOML7H36db16/kI8snaZRKBEJKG/XPF0LxAHxgAeoBxLpHcFqApoH7Hvh2igRkQnP47F8/Y/v8uSeEm5dNZ1/v2ERTt3XSeSyHA7D7Wuy2ZCTyr1PH+BLTx+gpqWTz2+cFexoIjKBeFs83Qw8Bfx/wNPW2m5jTFjf9v8AbrbWvunjjCIi40K328OXfnuA5w5UcOfGWdy/ea7+ai4h41d7SoIdod+WJdNo63Lzn389SmePh5TYiBGd59ZV6nApIt7xds3Tw8BD1tpfWWu7Aay13dbaJ4H/BB7xdUARkfGgqaObz/9iH88dqODLm+fywLXzVDiJjJDDGD68eCoup+HZ/eVYq8kuIhIY3o48LQa+PsRzR4Hc0cUREQk91lq63B7aOt20dvXQ3NHDiaoWjp5p5siZZo6ebaK0rh1j4N+3LOKTq7OCHVkk5MVHhXHtwik8W1jOvuJ6lmcnBTuSiEwA3hZPZ4GbgJcGee5jQNWoE4mIhIC3TtfxyCvHOFjWSFuXG7fn4r98Ox2GGSkx5GUkcPOyTNbOTmZZln7BE/GVZdmJFJY18MK7lcydHEdcpLpWioh/eVs8PQL8lzFmMvA0vcVUOr1rnj4EfMm38URExpZ9xfU8/NIxdp6oITUughuXTCMu0kV0uIvocCcx4S5iIlzMSIlhVloMES7d+FbEXxzGcGP+NB599Th/OljJrSu1hklE/Mvbm+Q+bIxpo3fq3vUDnqoAvmCt9aaVuYhIyCgsbeDhl46x41g1yTHhfO1D89m6KouocBVHIsGUEhfBVfPS+J9DZzlU0cSCqfHBjiQi45i3I09Ya39kjPkxkAVMASqBYmutx9fhRETGgt/uLeXLvz9IYnQYD1w7j9vXZBEd7vW3TxHxkytyUjlY1shzB8qZmRpDZJj+qCEi/jGin/59hdLpvjcRkZAwklbLlY3t/HD7SWanxrJ11XQiwpz8YX+FH9KJyEg5HYYbl0xj246T/PW9M9yQPy3YkURknPK2VTnGmDxjzG+NMWeMMV3GmKV92/+3Meb9vo8oIhIcHd1ufrWnhOhwJzevyCRCf80WGbMyk6JZMyuZt07XUdfaFew4IjJOeVU8GWPWAnvobVn+DDDwNwkHcKfvoomIBI+1lmf3l1PX2sXHV0wnNkLT9ETGuityUgEoKK4LchIRGa+8HXn6DvAKMB/4Z2DgHR4LgGU+yiUiElR7TtfxTnkj71uQzoyUmGDHEZFhmBQVxtzJcewrqh/09gEiIqPlbfG0DPhB35qnC78r1dDbtlxEJKSVN7Tz/DuVzEmPZcOc1GDHEREvrMxOormzhyNnmoIdRUTGIW+Lp04gaojnJgONo4sjIhJcHd1ufv1WCbERLj62LBOHMZc/SETGjJz0OCZFhbG3SFP3RMT3vC2edgL/bIwZeNy5EajPAK/5JJWISJA8u7+chrYuPrEikxitcxIJOU6HYVlWIsfPtlCvxhEi4mPeFk/fAFYA+4F/pbdwus0Y8xKwDvhfvo0nIhI45fXtvFPeyJXz0shK7l3nlPXiH7hhy1puWZPNDVvWkvXiH4KcUkQu93W5PCsRgL1qHCEiPuZV8WSt3Q9sAhqAb9LbMOJfgEjgSmvtYR/nExEJmNePVxPhcrBuVgrQ+wvaqgcfIOZMOcZaYs6Us+rBB1RAiQTRcL4uE6LDextHFKtxhIj4ltf3ebLW7rXWbgTigWwgwVp7hbW2wNfhREQCpa61i3fLG1k1I4nIvvs55W97CFdH+3n7uTrayd/2UDAiigjD/7pckZ1Ec0cPR9U4QkR8aNjFkzEm3BhTZYy5HsBa22atLbHWNvsvnohIYOw8UY3DGNb2jToBRJ+tGHTfobaLiP8N9+tyTnoc8ZEu3lLjCBHxoWEXT9baLnqn6XX4L46ISOC1dPawr7ie/OkJxEeF9W9vS5866P5DbRcR/xvu16XTYVienaTGESLiU95O23sO+Kg/goiIBMubp2rpdluumJ1y3vbCO7+Mx3l+xz2P00XhnV8OZDwRGcCbr8tzjSMK1DhCRHxkJMXTh4wxvzHGfMIYs9EYs2Hgmz9Cioj4S1ePhzdP1TJ/chxp8ZHnPVe8eQtl66+hKyYOC3TFxFG2/hqKN28JTlgR8errMiE6nDnpcRSocYSI+Ii3NzF5tu/9zX1vA78Tmb7HTh/kEhEJiILiOtq63GyYkzro842z59E4e16AU4nIpXjzdblyRhK/eLOYo2eaWTA13s/JRGS887Z4ep9fUoiIBIHbY9l5ooaspOj++zqJyPgyJz2OuEgXb5fUq3gSkVG7bPFkjLkKeMta22KtfSUAmUREAuLd8kYa2rq5Pk8NIETGK6fDsHBqPPuK6+nq8RDu8vouLSIi/YbzHeQlYMG5B8YYhzHmdWNMjv9iiYj4l7WW149XkxobwdzJccGOIyJ+tGDKJLrdlhNVLcGOIiIhbjjFkxnk8XpAv22ISMg6Ud1CZWMHV+Sk4DAXfpsTkfFkRkoMkWEODlU2BjuKiIQ4jV2LyIT01uk6YiJc5GcmBDuKiPiZ02GYNzmew5XN6ronIqOi4klEJpy2rh6OVDaTnzEJl1PfBkUmggVT4mnvdlNc2xrsKCISwobbbW+aMWZm38fOAdsaLtzRWnvKJ8lERPzkYFkjbmtZMj0x2FFEJEDmpMfhchjeq2xiZmpssOOISIgabvH0u0G2/WGIfXWfJxEZ0/aX1JMeH8GUSZGX31lExoVwl4PZabEcrmjiutwpGK11FJERGE7x9A9+TyEiEiA1zZ2U1rezeeFk/fIkMsEsmBLPkTPNVDR2MC0hKthxRCQEXbZ4stb+LBBBREQCYX9pAwbUKEJkApo3JR6zv5xDFU0qnkRkRLRSWkQmDI+1FJbWMzstlviosGDHEZEAi41wkZUcw+HKpmBHEZEQpeJJRCaM4to26tu6WTJdo04iE9WCqfGcaeqgtqUz2FFEJASpeBKRCWN/ST3hLgcLpkwKdhQRCZIFU+IBOKTRJxEZARVPIjIhdHS7eae8kUVT4wl36VufyESVFBPOlEmRHKpQ8SQi3tNvECIyIbx06CydPR7d20lEWDAlnpK6NqqbNXVPRLwT8OLJGLPZGHPUGHPCGPPAIM9vMMa8bf7/9u47vqn7XuP45yvLAy+WF8PsDQkQCGSSRRLSDEibvZumlN4mTZv2JmnTm7ZJ2ozbNk06stMssi7ZJEAWmSWMhB22AWOwwQwbjPHU7/4hQR1jgjG2jiU979dLL0lH50iPLGz06Hf0O2Y1ZnZBvduuNrNVodPV4UstIpHu1a8KaNsmnp4ZKV5HERGPDeqcjgM+WLbZ6ygiEmHCWp7MLA74B3AWMAi41MwG1VstH7gGeL7eth2A3wKjgVHAb81MHyGLyEEV76rkk1VbGZbbDp+O7SQS83LSk2ifHM+MpUVeRxGRCBPukadRwGrnXJ5zrgp4ERhfdwXn3Drn3CIgUG/bM4H3nHPbnXM7gPeAceEILSKR7c2Fm6gNOIbr2E4iApgZgzql8/nqbZRV1ngdR0QiSLjLUxdgQ53rBaFlLb2tiMSwV78qYGjXtmSlJ3kdRURaiYGd06mqDfDpymKvo4hIBAl3eWpofxnXnNua2UQzm2dm84qL9QdRJNat3LyLpZt2cv5wfdYiIv/RvUMK6Ul+Ply+xesoIhJBwl2eCoDcOmVxuRAAACAASURBVNe7Apuac1vn3KPOuZHOuZGZmZlNDioi0eGNBRuJ8xnnDO3sdRQRaUXifMaYfpnMXFFMINDYz3FFJNaFuzzNBfqaWU8zSwAuAd5s5LYzgDPMrH1ooogzQstERBrknOONBZs4oU8GGamJXscRkVbm1AFZbC2rZPHGUq+jiEiECGt5cs7VANcTLD3LgJedc0vN7A4zOw/AzI42swLgQuARM1sa2nY7cCfBAjYXuCO0TESkQV/l76Bgxx7GD9Ook4js76R+mZihXfdEpNH84X5A59w7wDv1lt1e5/JcgrvkNbTtk8CTLRpQRKLGGws2kej3ccbgHK+jiEgr1DE1kWG57Zi5Ygs/P72f13FEJAKE/SC5IiLhUF0b4O1FhYwdlE1qYtg/JxKRCHHagCwWFZSyZVeF11FEJAKoPIlIVPp89Va27a5ivCaKEJFvccqALAA+WqEZekXk4FSeRCQqvblgE+lJfk7qr1k3ReTABnVKJyc9iZn63pOINILKk4hEnT1VtcxYWsR3juhEoj/O6zgi0oqZGacMyOTTVVupqgl4HUdEWjmVJxGJOu8v28zuqlrGD9OBcUXk4E7pn0VZZQ1z12kSXxH5dipPIhJ13liwiZz0JEb17OB1FBGJAMf3ySDB79OU5SJyUCpPIhJVSsqr+HjlFs4d2ok4n3kdR0QiQEqin2N6ddT3nkTkoFSeRCSqTFtSRHWt0y57InJITu2fSd7W3azbutvrKCLSiqk8iUhUeX3+RnplpjC4c7rXUUQkgpw6IBtAu+6JyLdSeRKRqLGpZA9z1m1n/NAumGmXPRFpvG4dk+mdmcLMFSpPInJgKk8iEjWmLtqEczB+mA6MKyKH7tQBWXyRt42yyhqvo4hIK6XyJCJRwTnHlC8LGJrbjh4ZKV7HEZEIdOqAbKprHZ+t2up1FBFppVSeRCQqfJW/g5Wby7j06Fyvo4hIhBrZoz1pSX7NuiciB6TyJCJRYfLsfFIT/Zw7VLvsiUjTxMf5GNMvkw+Wb6E24LyOIyKtkMqTiES80vJq3l5UyPhhnUlJ9HsdR0Qi2BmDstlaVsn8/B1eRxGRVkjlSUQi3qvzC6isCXDpqG5eRxGRCHfqgCwS4nzMWFrkdRQRaYVUnkQkojnneH52PkO7tmVIl7ZexxGRCJeWFM9xfToyY+lmnNOueyLyTSpPIhLRvly/g1VbyjTqJCLN5szBOeRvL2dZ4S6vo4hIK6PyJCIR7XlNFCEizWzswGzM0K57IrIflScRiVgl5VVMXayJIkSkeWWmJXJ09w4qTyKyH5UnEYlYr361kaqaAJeN1i57ItK8zhiczfKiXazfttvrKCLSiqg8iUhEcs7xwpx8hua2Y3BnTRQhIs3rzME5gHbdE5FvUnkSkYg0LzRRxGWjcr2OIiJRKLdDMoM6pTNj6Wavo4hIK6LyJCIRSRNFiEhLGzckh6/yd7BlZ4XXUUSklVB5EpGIU1JexduLC5kwvDPJCZooQkRaxpmDc3AO3v1ao08iEqTyJCIR58nP1lJVE+Dy0d29jiIiUaxfdio9Oibre08iso/Kk4hElC27Knjs07WcfWQnBnZK9zqOiEQxM+PMwTnMWrON0j3VXscRkVZA5UlEIsoD76+iujbAf5/R3+soIhIDzhySQ03AMXP5Fq+jiEgroPIkIhEjr7iMF+du4LLR3eiRkeJ1HBGJAcO6tiMrLZHpS7TrnoioPIlIBPnTuytI8vu44dS+XkcRkRjh8xlnDM7m45XFVFTXeh1HRDym8iQiEWF+/g7eWVzED8f0IjMt0es4IhJDzhycw57qWj5aUex1FBHxmMqTiLR6zjnumbacjNQErjuxl9dxRCTGHNOrIxmpiUz5ssDrKCLiMZUnEWn1PlpRzOy12/npaX1JTdRxnUQkvOLjfFwwoiszV2xhsw6YKxLTVJ5EpFWrDTjunb6cHh2TuXRUN6/jiEiMuvjoXGoDTqNPIjFO5UlEWrXX5m9kedEufnlmf+Lj9CdLRLzRMyOFY3p14KW5GwgEnNdxRMQjeiciIq3WppI93Dt9OUd2bct3hnTyOo6IxLhLju5G/vZyvsjb5nUUEfGIypOItEqle6q55l9zqKiq5b4LjsTnM68jiUiMGzckh7Zt4nlh7gavo4iIR1SeRKTVqaypZdKzX7J2624euXIEA3LSvY4kIkJSfBznD+/CjCVF7Nhd5XUcEfGAypOItCqBgOOWKYuYlbeN+y44kuP6ZHgdSURkn4uPzqWqNsBr8zd6HUVEPKDyJCKtyv++u4LXF2ziv8/sz/nDu3odR0TkGwZ2SmdobjtenJuPc5o4QiTWqDyJSKvx3BfreeijNVw2uhv/dXJvr+OIiDTokqNzWbm5jPkbSryOIiJhpvIkIp6rqQ3wr8/XcvsbSzhtQBZ3nDcYM00QISKt07lDO5OcEMeLc/K9jiIiYabyJCKe+mzVVr7z4Kf8/q2vOb5PBn+7bDh+Hc9JRFqx1EQ/5x7ZmbcWFrKrotrrOCISRnqHIiKeWLd1Nz98Zh5XPDGbPdW1PHLlCJ65dhTJCX6vo4mIHNQlo3LZU13L1EWFXkcRkTDSuxQRCRvnHMsKd/HqVwU8M2s9/jjj5nH9ufb4niTFx3kdT0Sk0YbltqN/dhovzMnnkqNztauxSIxQeRKRFhUIOL7K38GMpUXMWLqZ/O3lmMF3h3fl5nH9yU5P8jqiiMghMzOuPLY7v3l9CR+tLOaU/lleRxKRMFB5EpEWsWRjKVO+LGDqokK2llUSH2cc3yeDH5/cm7EDs8lMS/Q6oojIYbloZC6Pf5rHPe8sZ0zfTOJ8Gn0SiXYqTyLSbHbsruKNBRt5eV4BXxfuJMHvY+zALMYN6cQp/TNJS4r3OqKISLNJ8Pu4edwA/mvyV0z5cgMXH93N60gi0sJUnkTksOVvK+e+Gct5d+lmqmoDHNGlLXeOH8x5Q7vQNlmFSUSi11lDchjerR1/eW9laApzvbUSiWb6DReRJnPO8dLcDdw59WvMjMtGd+OikbkM6pzudTQRkbAwM277zkAueHgWT3y6lhtO6+t1JBFpQSpPItKg52d/+8Efd1VU89r8jSwv2kWvzBQuOKor7ZITWLChhAUbSsKUUkTEeyN7dODMwdk8/PEaLh3djYxUfadTJFrpOE8icsiWbCzlgQ9WsXpLGWcf0Ylrj+9Ju+QEr2OJiHjmlnEDqKgJ8MD7q7yOIiItSOVJRBot4Byvzd/I83PyaZ+cwPWn9OH4Phn4dHwTEYlxvTJTuWxUN56fk8+a4jKv44hIC1F5EpFGcc7x9qJC5q7bzpi+GUw6qTdZOkaTiMg+N47tS5Lfx33Tl3sdRURaiMqTiDTKzBVbmJW3jRP6ZHDm4Bwdz0REpJ6M1EQmndSbGUs3M3fddq/jiEgLUHkSkYP6Im8b7y/bwlHd2nHWkBxMu+mJiDTouhN70altEj97cQHFuyq9jiMizUzlSUS+1aKCEt5auIkBOWmcP7yripOIyLdokxDHI1eOYNvuSiY+O4+K6lqvI4lIM1J5EpEDWrV5F/83r4DuHZO5dFQ37aonItIIR3Ztx18vHsb8/BJ++X8LCQSc15FEpJmoPIlIgzaW7GHy7Hyy0hO58pgexMfpz4WISGONG9KJW88awNRFhfz1/ZVexxGRZqKD5IrIfnZX1vDinHzaJMRxzXE9aJMQ53UkEZGI86MxvcgrLuPBD1fTIyOF7x7V1etIInKYwv5RspmNM7MVZrbazG5t4PZEM3spdPtsM+sRWt7DzPaY2YLQ6eFwZxeJFXe9vYztu6u4cERX0pLivY4jIhKRzIy7JhzBsb06cusrizUDn0gUCGt5MrM44B/AWcAg4FIzG1RvtR8AO5xzfYD7gXvr3LbGOTcsdJoUltAiMeb9rzfzwpx8TuybQa/MVK/jiIhEtAS/j4euOIqu7dsw8Zl5zFOBEolo4R55GgWsds7lOeeqgBeB8fXWGQ88Hbo8BTjNNL2XSFgU76rkllcWMbBTOmMHZnsdR0QkKrRLTuDJa44mvU08lzz6BY9/modzmkRCJBKFuzx1ATbUuV4QWtbgOs65GqAU6Bi6raeZzTezj83sxIYewMwmmtk8M5tXXFzcvOlFophzjlteWcSuyhoeuGQYfk0QISLSbHpkpPDm9Sdw6oAs7np7Gf81+St2VVR7HUtEDlG43x01NIJU/6OXA61TCHRzzg0HbgKeN7P0/VZ07lHn3Ejn3MjMzMzDDiwSK56fk8+Hy7fwq7MG0C87zes4IiJRp22beB65cgS//s4A3v16M+f9/XOWF+30OpaIHIJwl6cCILfO9a7ApgOtY2Z+oC2w3TlX6ZzbBuCc+xJYA/Rr8cQiMWBNcRl3Tv2aE/tmcPWxPbyOIyIStcyMiWN68/x1oymrrGHCPz7npbn52o1PJEKEuzzNBfqaWU8zSwAuAd6st86bwNWhyxcAHzrnnJllhiacwMx6AX2BvDDlFolaNbUBbnppAUnxcfzpwqH4dCBcEZEWN7pXR97+6QkMz23PLa8s5oonZrN+226vY4nIQYS1PIW+w3Q9MANYBrzsnFtqZneY2Xmh1Z4AOprZaoK75+2dznwMsMjMFhKcSGKSc05T1ogcpn99vo6FBaXcOX4I2elJXscREYkZWWlJTL5uNHdNGMKiDaWccf8nPPzxGmpqA15HE5EDCPtBcp1z7wDv1Ft2e53LFcCFDWz3CvBKiwcUiSEbtpfzl/dWMnZgFucc2emQt+8+/XWGPXwfyZs3UZ7dmQWTbmb9uAktkFREJDr5fMYVx3Rn7MBsbn9jCfdMW86bCzbxsG8F3f58F+TnQ7du8Ic/wOWXex1XJOaFvTyJSOvgnOM3ry/BDH4/fgiHekSA7tNfZ/Q9t+Kv2ANAStFGRt8THChWgRIROTQ5bZN49KqRTF9SyOe/f5CM1++HmsrgjevXw8SJwcsqUCKe0lzEIjHqrUWFfLyymF+e0Z8u7doc8vbDHr5vX3Hay1+xh2EP39dcEUVEYs64IZ34/eznSd5bnPYqL4fbbvMmlIjso/IkEoNKy6u5462lHNm1LVcf16NJ95G8uf5Emd++XEREGsdXsKHhG/LzwxtERPaj8iQSg+6etowd5dX88fwjiGvi7Hrl2Z0PabmIiDRSt24NLi7JyKGypjbMYUSkLn3nSSTGzM7bxotzNzBxTC+GdGnb5PtZMOlmjr3zF/hqa/YtC8T5WTDp5uaIKSLS4p6f3TpHcrp//6b9/r5W+RO4ffRlfPmnj7n6uB6kJu7/Fu6y0Q2XLhFpPhp5EokhlTW1/Oq1xXRt34afje17WPe1ftwECk4YS1VKGg6oSkmj4ISxmixCROQwNfT3tej4U0m/9hq27KrgsU/yKN1T7XVMkZikkSeRGPLPmWvIK97NU98/muSEw//1L+0zgNI+A5ohmYiI1NXQ39dBndO55riePDNrHY9+soZrj+9Jx9REbwKKxCiNPInEiOVFO/nnR6sZP6wzJ/fP8jqOiIg0Qc+MFH5wQk8qqgM8+mkem3dWeB1JJKaoPInEgJraADdPWUR6Ujy/PXew13FEROQwdG2fzA/H9AIHj32ax8Ydew6+kYg0C5UnkRjwxGdrWVRQyu/OG0yHlASv44iIyGHKSU9i4pheJPh9PP5ZHvnbdnsdSSQmqDyJRLm84jL+8t5KTh+UzTlHdvI6joiINJOOqYn8aExvUhP9PD1rPXnFZV5HEol6Kk8iUSwQcNz6ymIS/D7umjAEs6Yd00lERFqntm3iuea4HpjB95+ay7aySq8jiUQ1lSeRKDZ59nrmrNvO/5w9iOz0JK/jiIhIC+iYmshVx3SnqLSCHz4zj4pqHUhXpKWoPIlEqYId5dwzbTkn9s3gwpFdvY4jIiItqFvHFP568TDmbyjhppcXEAg4ryOJRCWVJ5Eo5Jzj168twQF/PP8I7a4nIhIDzjqiE7d9ZyDvLC7inunLvY4jEpV0kFyRKPTMrPV8srKY3507iNwOyV7HERGRMPnBCT3J317Oo5/kkdu+DVce28PrSCJRReVJJMrMz9/BXW9/zWkDsrhK/2mKiMQUM+P2cwaxcccefvvmUnpkpHBi30yvY4lEDe22JxJFduyu4ieTvyI7PYk/XzQUn0+764mIxBp/nI8HLx1O36w0bnhhPhu2l3sdSSRqqDyJRIlAwPGzlxawtayKf15+FO2SdTBcEZFYlZLo55ErR1AbcPzo2S/ZU6UZ+ESag8qTSJT4+8zVfLyymNvPHcSRXdt5HUdERDzWIyOFBy4ZxrKinfz6tcU4pxn4RA6XypNIFPhs1Vbuf38lE4Z15vLR3byOIyIircSpA7L5+dh+vDZ/I0/9e53XcUQinsqTSIQrLN3DT1+cT9+sVP74XU1LLiIi33T9KX04fVA2d729jC/ytnkdRySiqTyJRLCdFdVMevZLKqpr+eflI0hO0ASaIiLyTT6f8ZeLhtK9YzI/mfwVm0r2eB1JJGKpPIlEqNI91Vz5+Gy+LtzJg5cMp09WqteRRESklUpLiufRK0dSWRNg0nPBD91E5NCpPIlEoJLyKq54fDbLCnfx0OUjGDso2+tIIiLSyvXJSuX+i4exqKCUX72qCSREmkLlSSTC7NhdxeWPz2ZF0S4euVLFSUREGu/0Qdn84vTgBBKPfZrndRyRiKPyJBJBtu+u4rLHZ7NqSxmPXjWCUwZkeR1JREQizPWn9uHsIzpxz7TlfLRii9dxRCKKypNIhNi8s4LLHvuCvOIyHr9qJCf3V3ESEZFDZ2b874VH0j8nnRtemE9ecZnXkUQihsqTSCvnnOONBRs54/5PWL+tnCevOZox/TK9jiUiIhEsOcHPY1eNID7Ox3XPzGNnRbXXkUQigsqTSCu2tayS/5r8FTe+uIBemSlM/ekJHN8nw+tYIiISBbq2T+ahy48if1s5N74wn9qAJpAQORiVJ5FWavqSQs68/xM+WLaFW8YNYMqk4+idqenIRUSk+Yzu1ZHfnTeYmSuKuf2NJZqBT+QgdERNkVZmRdEuHvxwFW8vKmRw53Se/+Ew+uekeR1LRESi1BXHdKdgxx4e/ngNbdvEc/O4AV5HEmm1VJ5EWgHnHJ+t3spjn67lk5XFJMX7+NnYvvzklD7Ex2mAWEREWtYt4/qzs6Kaf34ULFA/Oqm315FEWiWVJxEPVdbU8tbCQh7/NI/lRbvITEvkl2f04/LR3WmfkuB1PBERiRFmxp3jh7BzTzV3T1tOept4Lh3VzetYIq2OypNImFXXBvhs9VamLizk3a+L2FVRQ//sNO674EjGD+tMoj/O64giIhKD4nzGXy4aRlllDb9+bTFpSX7OObKz17FEWhWVJ5EwqKkN8EXedqYu2sT0pUWUlFeTlujnjME5TBjemRP6ZGBmXscUEZEYl+D38dDlI7j6yTn8/KUFpCT6OUXHFRTZR+VJpIUEAo6567YzdVEh05YUsrWsipSEOMYOyuacIzszpl+GRplERKTVaZMQx+PXjOTSR7/gR898yT3fO4LvHtXV61girYLKk0gzW1RQwmvzN/LO4kI276wkKd7HaQOyOefITpwyIIukeBUmERFp3dKT4pl83Wh+/NxX3PTyQvKKd3PT6f3w+bSXhMQ2lSeRZrCnqpa3Fm7i2S/Ws3hjKQlxPk7qn8m5Qztz2oAsUhL1qyYiIpGlXXICT187iv95fQl/n7matVt386cLh9ImQR8CSuzSOzqRw7CmuIznvljPK18WsLOihqy0RM4d2plhXdvRJiGOsooa3liwyeuYIiIiTZLg93HP946gT1Yqf5y2jIId5Tx21Uiy0pO8jibiCZUnkSZYuqmUB95fxbtfbyY+zhg3pBM56Un06JisiR9ERCSqmBk/HNOL7h2TufHFBYz/x+f8/bKjGNG9vdfRRMJOR98UOQRfb9rJj56dx9kPfsasvG3ceFpf/n3rafzt0uH0zEhRcRIRkah1xuAcpvz4WHxmfO+hf/OrVxexY3eV17FEwkojTyKNsKxwJw+8v4rpS4tIS/Lzs7F9+f7xPWnbJt7raCIiImEzuHNbZvx8DA+8v5InP1/HjKWbufWsAVxwVFdNJiExQeVJ5FsU76rkz++u4KV5G0hNVGkSERFJTfRz29mD+N6IrvzmtSXcPGURL8/dwJ0ThjCwU7rX8URalMqTSAMqa2p58rN1/GPmaiprarnuhJ5cf0pf2iarNImIiAAMyEnn5R8dyytfFXD3tOV858FPOblfJlcd24OT+mVqJEqiksqTSB3OOWYsLeKP7ywnf3s5Ywdmc9vZA+mZkeJ1NBERkVbH5zMuHJnL6YOy+dfn63h+Tj7ff2ou3Tokc8Ux3bhoZC7tkhO8jinSbDRhhEjI0k2lXPrYF0x67iuS4n08+4NRPH71yCYVp+7TX2f8hOO49NgejJ9wHN2nv94CiUVERFqHdskJ/Pz0fnx+y6n87dLh5KQn8cd3ljP6jx9wwwvzeWPBRkrKG5hcYvJk6NEDfL7g+eTJ4Y4uckg08iQxr3hXJX95bwUvzt1Auzbx3DlhCJcenYs/rmmfLXSf/jqj77kVf8UeAFKKNjL6nlsBWD9uQrPlFhERaW0S/D7OHdqZc4d2ZlnhTp77Yj0zlhbx1sJNxPmMEd3bc9qALE4bmEXv997EJk6E8vLgxuvXw8SJwcuXX+7dkxD5FipPErMqa2p56vN1/O3D1VRU13Lt8T356amH/72mYQ/ft6847eWv2MOwh+9TeRIRkZgxsFM6fzj/CO4cP4SFBSV8sGwLHyzfwt3TlnP3tOXMeuQmOu0tTnuVl8Ntt6k8Saul8iQxJxBwvL24kD+9u4L128o5dUAWt509kN6Zqc1y/8mbNx3SchERkWjm8xnDu7VneLf2/PLM/mws2cNHK7aQc29xg+u7/Hw2l1aQ0zYpzElFDk7lSWLK56u3cs+05SzeWEr/7DSevnYUJ/XLbNbHKM/uTErRxgaXi4iIxLou7dpw+eju0L1bcFe9ejamZXDC3R/QMyOFY3p15LjeHTmmV0cy0xI9SCvyTSpPEhOWbCzl3unL+XTVVrq0a8OfLxzKhOFdiGuBaVQXTLqZY+/8Bb7amn3LAnF+Fky6udkfS0REZK/nZ+d7HeGQdP/+TQf8//I7Q3KorAnw1sJNvDAn+Lz6ZqVyXO+OHNu7I6N7dqR9imbxk/BTeZKotnBDCY98soZ3FhfRLjme35w9kCuO6U5SfFyLPeb6cRPInTmNnHmfE797F9UpaRSNPF7fdxIREanjQP9f7vzuRZwAXDa6GzW1AZZs2smsNduYlbeNl+cV8PSs9ZjBwJx0Tuqfycn9Mjmqe3vimzjRk8ihUHmSqBMIOGau2MIjn+QxZ+120pL8XH9KHyae1Iv0pPAc5La0zwBK+wwIy2OJiIhEqoP9f+mP8zEstx3Dctvx45N7U1UTYFFBCbPWbOPT1Vt57JM8HvpoDWmJfo7vk8HJ/TM5qX8mndq2CeOzkFii8iRRo7yqhqkLC3n00zxWbymjc9skfnP2QC4Z1Y3URP1TFxERiXQJfh8je3RgZI8O3HBaX3ZWVPPv1Vv5eGUxH60oZvrSIgD6Z6ftG5Ua2aMDCX6NSknz0DtKiWg1tQE+W72VNxZsYsbSIsqrahnYKZ2/XjyMs4/spCF8ERGRKJaeFM+4IZ0YN6QTzjlWbi7j45Vb+GhFMf/6fC2PfpJHckIcx/XO4Pg+we9L9ctKw9cC33mW2KDyJBGnujbAwg0lTF1UyNRFm9haVkV6kp/xwzozYVgXRvXsgJn+KIqIiMQSM6N/Thr9c9KYOKY3uytr+PeabXy0YgufrCrm/WWbAeiQksAxvTpwbK+OjOrZkT5ZqS0ygZREJ5UnafUCAcfXhcEvi/57zVbmrN3O7qpaEvw+xg7MYvywLpzcP5NEf8tNAiEiIiKRJSXRz+mDsjl9UDYABTvK90088cWabbyzOLiLX2qinyO6tGVobjuG5QbPc9KT9EGsNEjlScJv8uTg0cPz86FbN/jDH/YdSbyiupbVW8pYXrSLFUU7WV60i8UbSykprwagd2YK3z2qK8f17sjxfTPCNgGEiIiIRLau7ZO5cGQyF47MxTnH+m3lfLl+BwsLSli4oYQnPsujutYBkJ7kp09W6jdOvTJSyWmbdOgz9n7L+x6JPGEvT2Y2DngAiAMed87dU+/2ROAZYASwDbjYObcudNuvgB8AtcBPnXMzwhhdDpNzjj1PPUvSTybh27MnuHD9eqp+cB2Pf7SaKf1PYv32cmoDwT9ciX4ffbNTOXNQDseGjuuQna6jjYuIiMjhMTN6ZKTQIyOF743oCkBlTS3LCnexqKCElZt3sXpLGR8uL+bleQXf2DYjNYFObdvQqW0Sndu1ITMtkQ4pCftO7ZOD5ymJcSS+9CJMnAjl5cGN168PXgcVqAgV1vJkZnHAP4DTgQJgrpm96Zz7us5qPwB2OOf6mNklwL3AxWY2CLgEGAx0Bt43s37OudpwPodYVhtwVFTXsruqhrKKGnbtO1Wzq7LO5dB5WWUNO/fUsG13Fdt3V7J9dxUz//5Luu4tTiEJlRVc8MpDLH7wHM45shP9c9Lpn5NGj47J+DXhg4iIiIRBoj9u37TodZWUV7F6Sxlrt+6msLSCwtI9bCqpYO3W3fx7zTbKKmsOcI/w+UM30WVvcdqrvJxtN/6SexOHkJLoJzXRT5uEONrEh04JcSTFx5EcWpYUWlb39kS/T7sVeiTcI0+jgNXOuTwAM3sRGA/ULU/jgd+FLk8B/m7Bfx3jgRedc5XAWjNbHbq/WWHK3iKccwRcnXMczhE8hS4HnMMBLgA1gQA1AUd1bYCaWkdNIEBVTfC8utZRU9vA7XuX1zqqagNUVNdSUV1LeVUte+peDl3fd179zWWVNYFGPafkhDjSkvykJcWTluSnS7skjuiSTsfUDqQ/5AAADJ5JREFURLrcvbXBbTJLtnBi30wASvdUM2ftduas3d5cP2YRERGJMM/Pzvc6wn4yUhPJSE3kiC7/WVZdG2B3ZQ3lVcEPmMsrg+eVNQE67yxu8H7ab9vMJyu3sruyhrKqGpw7tBxm7CtT9ctVUkIcbeJ9JCf4g7fFx9EmwfeNdePjfMTHGX7ff879cUZ8nA+/z/DXvz20PMEfut3nw3xgBEfxfAaGYRbMZoSWmYXWIWrKXrjLUxdgQ53rBcDoA63jnKsxs1KgY2j5F/W27UKE+N5D/2bhhpJgCQoVJa/5ffafX7Z6523bxJOUEEdyA7cFy1E8qYn+b5Sk9KR4UhLjvn20qFu34JB1PeXZnVvwmYqIiIi0jPg4H+2SE2iXvP9t5TmdSSnauN9yX/dufPHr04Dg+8LKmsB+H15XNPBB9t7bK76xbmDfuuVVNZTuqWZz6TfXLa+u3fe1CC/VLVQ5bZP47JZTvY50yMwdatU9nAczuxA40zl3Xej6lcAo59wNddZZGlqnIHR9DcERpjuAWc6550LLnwDecc69Uu8xJgKhnUnpD6xo2WclhyIDOnSD7gb7GpaDQD6s3woaaopcGUDDw4oSafRaRge9jtFDr2UE0/ueiNLdOZd5sJXCPfJUAOTWud4V2HSAdQrMzA+0JfiPqzHb4px7FHi0GTNLCzGzec65kV7nkMOn1zJ66LWMDnodo4dey+ih1zI6hPvb+HOBvmbW08wSCE4A8Wa9dd4Erg5dvgD40AWHx94ELjGzRDPrCfQF5oQpt4iIiIiIxLiwjjyFvsN0PTCD4FTlTzrnlprZHcA859ybwBPAs6EJIbYTLFiE1nuZ4OQSNcBPNNOeiIiIiIiES9iP8+Scewd4p96y2+tcrgAuPMC2fwD+0KIBJZy0e2X00GsZPfRaRge9jtFDr2X00GsZBcI6YYSIiIiIiEik0hFIRUREREREGkHlScLOzMaZ2QozW21mt3qdR5rGzHLNbKaZLTOzpWZ2o9eZ5PCYWZyZzTezqV5nkaYzs3ZmNsXMlod+P4/1OpM0jZn9PPT3dYmZvWBmSV5nksYxsyfNbIuZLamzrIOZvWdmq0Ln7b3MKE2j8iRhZWZxwD+As4BBwKVmNsjbVNJENcAvnHMDgWOAn+i1jHg3Asu8DiGH7QFgunNuADAUvaYRycy6AD8FRjrnhhCcaOsSb1PJIXgKGFdv2a3AB865vsAHoesSYVSeJNxGAaudc3nOuSrgRWC8x5mkCZxzhc65r0KXdxF8g9bF21TSVGbWFTgbeNzrLNJ0ZpYOjCE4cy3OuSrnXIm3qeQw+IE2oeNeJtPA8S2ldXLOfcL+B8EdDzwduvw0MCGsoaRZqDxJuHUBNtS5XoDecEc8M+sBDAdme5tEDsNfgZuBgNdB5LD0AoqBf4V2wXzczFK8DiWHzjm3EfgTkA8UAqXOuXe9TSWHKds5VwjBDyCBLI/zSBOoPEm4WQPLNOVjBDOzVOAV4GfOuZ1e55FDZ2bnAFucc196nUUOmx84CnjIOTcc2I12DYpIoe/DjAd6Ap2BFDO7wttUIqLyJOFWAOTWud4V7YYQscwsnmBxmuyce9XrPNJkxwPnmdk6grvSnmpmz3kbSZqoAChwzu0dBZ5CsExJ5BkLrHXOFTvnqoFXgeM8ziSHZ7OZdQIInW/xOI80gcqThNtcoK+Z9TSzBIJffn3T40zSBGZmBL9Xscw59xev80jTOed+5Zzr6pzrQfB38kPnnD7hjkDOuSJgg5n1Dy06Dfjaw0jSdPnAMWaWHPp7exqa/CPSvQlcHbp8NfCGh1mkifxeB5DY4pyrMbPrgRkEZw560jm31ONY0jTHA1cCi81sQWjZr51z73iYSUTgBmBy6AOqPOD7HueRJnDOzTazKcBXBGc3nQ886m0qaSwzewE4GcgwswLgt8A9wMtm9gOC5fhC7xJKU5lz+rqJiIiIiIjIwWi3PRERERERkUZQeRIREREREWkElScREREREZFGUHkSERERERFpBJUnERERERGRRlB5EhGJYmZ2jZk5Mysxs/b1bvOHbvudB7l+F3rsVn3IDDPzmdlfzazQzAJm9vq3rLvuQAcXNrO7zCzs09vWef17hPuxRUSikcqTiEhsaAvc4nWICHQBcCPwvwSPbXazt3FERMRLKk8iIrHhXeAGM8vxOki4mFliM9zNwND5X51zs5xzK5vhPkVEJEKpPImIxIa7Que3fdtKe3ena2D5U2a2rs71HqHdwSaZ2d1mVmRmu8zsOTNLNrM+ZjbDzMrMbLWZXX2AhxxoZjPNrDy0a9wdZvaN/5vMLMPMHjKzjWZWaWbLzWxivXX27p42xsz+z8xKgNkHea7jzGyWme0xs1Ize93M+te5fR3wu9DV2tD9X/Nt93mozOyHZrbQzCrMbKuZPWFmHeqtc30o5/bQ7pdfmNnZDdxXLzN7O/SzLDazB4D9CqSZXWZm80OvTamZLTazHzXn8xIRiVYqTyIisaEQ+Dsw0cy6N+P9/groDFwN3A5cDDwMvAa8DZwPLAL+ZWaDG9j+deB9YALwPPA/ofsBwMzSgc+BswkWmbOBt4CHzOyGBu5vMrCW4O52tx4otJmNC+UrC2X+MTAE+MzMuoRWOx94KnT52NDp7QPd53/u2vz1T4A1sOI9wD9Dz/884L+BccA0M4urs2oP4HHgwlDWecBUMzurzn0lAO8Bw4GfANcAPYHf1HvME4DngI8J/swvBB4D2h3keYmICNCqv6grIiLN6l7gR8BvgWub6T7XOOf2jirNMLMTgSuBK51zzwGY2TyC5eACYGm97R9zzt0TuvxuqCz9wsz+6pwrIfh9o+7AEc65VaH13jezdsBvzewh51xNnfub4pxrzPeS7gLygLP2bm9ms4CVwC+Am5xz881sI4Bz7otG/jwuC52+VWgCh/8Gfu+cu6PO8pXAZ8C5BIslzrlf1rndB3wA9AMmAdNCN10N9AKO3ZvVzKYBi+s99DFAiXPuZ3WWvdvI5yYiEvM08iQiEiOcc9uBPwNX1d097TBNq3d9eeh8Rp3H3QFsAXIb2P7letdfBFIJjgJBcCRmNrC23kjODKAjMKje9q8dLLCZpQBHAS/VLV7OubUER7lOOth9fItpwNENnJ6st97pBP8Pnlzvec0GdgJj6uQdYWZTzWwzUANUh7av+xoeC2yoW/KccwH2//nOBdqHdq88J1RCRUSkkVSeRERiy/3AduCOg63YSDvqXa/6luVJDWy/+QDX9+46l0WwSFTXO/1f6PaO9bYvPHhk2hPcja6hdYuADg0sb6ztzrl59U8NPFZW6Hw1+z+3dELPy8xyCY40dQBuAI4jWMam882fZyf2/1lSf5lz7mOCu+rlEiyaxWb2vpkd2cTnKyISU7TbnohIDHHOlZnZ3QRHoP63gVUqIPgdGudcVZ3l9UtKc8kmuPtc3esAG0Pn2wiOWt14gO1X1LvemGMp7Qit19DMgzmhx2xpex/jDPYvmnVvH0dwmvmLnHMFe280s+R66xcCDX2nLLv+AufcFGCKmaUCJxPcnXO6mXUNjVaJiMgBaORJRCT2/JNgObmrgdvWh8737jZHaNeu41ooy0X1rl9CcBKHJaHr04EBQH5DIzrOuV2H+oDOud3Al8CFdSdmCE2kcRzByRRa2ntAAOh2gOe1NrTe3pJUXSdnP4LHnKprFpBrZsfUWc/H/j/ffZxzZc65qcAjBEeuWqogi4hEDY08iYjEGOdcpZndATzawM3TgFLgMTP7LcGprm8mWGhawg9Db/LnAmcC1wG/C00WAcHdDC8GPjWz+wmONKUQLFQnOufGN/Fx/4fgzHlTzeyfBL9n9XuCz/3PTX0yjeWcW2Nm9wJ/D33/7GOCo365BL/P9LhzbibBmfhqgGfM7M8ES87vgXy++QHo0wRnF3zVzH5NcLRuEsFdAPcJve7ZwExgE9AV+CmwwDlX3EJPV0QkamjkSUQkNv0LWFV/Yai0nENwVORl4G7gbwTfbLeE8QTLwpvAFQRHw+6sk6eU4GjQO8AtBCeKeDK0XZMzOeemE5z2vB3B5/kwsAw4wTm3qan3e4gZfg1MJPidrpeBNwg+xx2EXhvn3FLgcoIzDr5JsMjeCnxS776qCP4cFxAcWXya4JTt9UcXZxOc+vx+gqNf9xIsbvsdN0pERPZnzjVm93AREREREZHYppEnERERERGRRlB5EhERERERaQSVJxERERERkUZQeRIREREREWkElScREREREZFGUHkSERERERFpBJUnERERERGRRlB5EhERERERaQSVJxERERERkUb4f667FoDC9W/gAAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 1008x504 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Import libraries\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import seaborn as sns\n",
"\n",
"# Input variables\n",
"\n",
"# Number of trials\n",
"trials = 1000\n",
"\n",
"# Number of independent experiments in each trial\n",
"n = 10\n",
"\n",
"# Probability of success for each experiment\n",
"p = 0.5\n",
"\n",
"# Function that runs our coin toss trials\n",
"# heads is a list of the number of successes from each trial of n experiments\n",
"def run_binom(trials, n, p):\n",
" heads = []\n",
" for i in range(trials):\n",
" tosses = [np.random.random() for i in range(n)]\n",
" heads.append(len([i for i in tosses if i>=0.50]))\n",
" return heads\n",
"\n",
"# Run the function\n",
"heads = run_binom(trials, n, p)\n",
"\n",
"# Plot and save the results as a histogram\n",
"fig, ax = plt.subplots(figsize=(14,7))\n",
"ax = sns.distplot(heads, bins=11, label='simulation results')\n",
"\n",
"ax.set_xlabel(\"Number of Heads\",fontsize=16)\n",
"ax.set_ylabel(\"Frequency\",fontsize=16)\n",
"\n",
"# Plot the actual binomial distribution as a sanity check\n",
"from scipy.stats import binom\n",
"x = range(0,11)\n",
"ax.plot(x, binom.pmf(x, n, p), 'ro', label='actual binomial distribution')\n",
"ax.vlines(x, 0, binom.pmf(x, n, p), colors='r', lw=5, alpha=0.5)\n",
"plt.legend()\n",
"\n",
"# plt.savefig(fname='Binomial_Hist_2', dpi=150)\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 211,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"The probability of 6 heads is: 0.2035\n"
]
}
],
"source": [
"# Probability of getting 6 heads\n",
"\n",
"runs = 10000\n",
"prob_6 = sum([1 for i in np.random.binomial(n, p, size=runs) if i==6])/runs\n",
"print('The probability of 6 heads is: ' + str(prob_6))"
]
},
{
"cell_type": "code",
"execution_count": 189,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Average Conversions per Employee: 2.18\n",
"Standard Deviation of Conversions per Employee: 1.39\n",
"Total Conversions: 218\n",
"Total Revenues: 21800\n",
"Total Expense: 20000\n",
"Total Profits: 1800\n"
]
}
],
"source": [
"# Call Center Simulation\n",
"\n",
"# Number of employees to simulate\n",
"employees = 100\n",
"\n",
"# Cost per employee\n",
"wage = 200\n",
"\n",
"# Number of independent calls per employee\n",
"n = 50\n",
"\n",
"# Probability of success for each call\n",
"p = 0.04\n",
"\n",
"# Revenue per call\n",
"revenue = 100\n",
"\n",
"# Binomial random variables of call center employees\n",
"conversions = np.random.binomial(n, p, size=employees)\n",
"\n",
"# Print some key metrics of our call center\n",
"print('Average Conversions per Employee: ' + str(round(np.mean(conversions), 2)))\n",
"print('Standard Deviation of Conversions per Employee: ' + str(round(np.std(conversions), 2)))\n",
"print('Total Conversions: ' + str(np.sum(conversions)))\n",
"print('Total Revenues: ' + str(np.sum(conversions)*revenue))\n",
"print('Total Expense: ' + str(employees*wage))\n",
"print('Total Profits: ' + str(np.sum(conversions)*revenue - employees*wage))"
]
},
{
"cell_type": "code",
"execution_count": 190,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 1008x504 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Simulate 1,000 days for our call center\n",
"\n",
"# Number of days to simulate\n",
"sims = 1000\n",
"\n",
"sim_conversions = [np.sum(np.random.binomial(n, p, size=employees)) for i in range(sims)]\n",
"sim_profits = np.array(sim_conversions)*revenue - employees*wage\n",
"\n",
"# Plot and save the results as a histogram\n",
"fig, ax = plt.subplots(figsize=(14,7))\n",
"ax = sns.distplot(sim_profits, bins=20, label='simulation results')\n",
"\n",
"ax.set_xlabel(\"Profits\",fontsize=16)\n",
"ax.set_ylabel(\"Frequency\",fontsize=16)\n",
"\n",
"plt.savefig(fname='Call_Center_Hist', dpi=150)"
]
},
{
"cell_type": "code",
"execution_count": 191,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"478"
]
},
"execution_count": 191,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Add 1 if profit < 0\n",
"\n",
"sum([1 for i in sim_profits if i<0])"
]
},
{
"cell_type": "code",
"execution_count": 198,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Average Conversions per Employee: 2.63\n",
"Standard Deviation of Conversions per Employee: 1.67\n",
"Total Conversions: 263\n",
"Total Revenues: 26300\n",
"Total Expense: 20000\n",
"Total Profits: 6300\n"
]
}
],
"source": [
"# Call Center Simulation (Higher Conversion Rate)\n",
"\n",
"# Number of employees to simulate\n",
"employees = 100\n",
"\n",
"# Cost per employee\n",
"wage = 200\n",
"\n",
"# Number of independent calls per employee\n",
"n = 55\n",
"\n",
"# Probability of success for each call\n",
"p = 0.05\n",
"\n",
"# Revenue per call\n",
"revenue = 100\n",
"\n",
"# Binomial random variables of call center employees\n",
"conversions_up = np.random.binomial(n, p, size=employees)\n",
"\n",
"# Print some key metrics of our call center\n",
"print('Average Conversions per Employee: ' + str(round(np.mean(conversions_up), 2)))\n",
"print('Standard Deviation of Conversions per Employee: ' + str(round(np.std(conversions_up), 2)))\n",
"print('Total Conversions: ' + str(np.sum(conversions_up)))\n",
"print('Total Revenues: ' + str(np.sum(conversions_up)*revenue))\n",
"print('Total Expense: ' + str(employees*wage))\n",
"print('Total Profits: ' + str(np.sum(conversions_up)*revenue - employees*wage))"
]
},
{
"cell_type": "code",
"execution_count": 199,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 1008x504 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Simulate 1,000 days for our call center\n",
"\n",
"# Number of days to simulate\n",
"sims = 1000\n",
"\n",
"sim_conversions_up = [np.sum(np.random.binomial(n, p, size=employees)) for i in range(sims)]\n",
"sim_profits_up = np.array(sim_conversions_up)*revenue - employees*wage\n",
"\n",
"# Plot and save the results as a histogram\n",
"fig, ax = plt.subplots(figsize=(14,7))\n",
"ax = sns.distplot(sim_profits, bins=20, label='original call center simulation results')\n",
"ax = sns.distplot(sim_profits_up, bins=20, label='improved call center simulation results', color='red')\n",
"\n",
"ax.set_xlabel(\"Profits\",fontsize=16)\n",
"ax.set_ylabel(\"Frequency\",fontsize=16)\n",
"plt.legend()\n",
"\n",
"plt.savefig(fname='Call_Center_Hist_Better', dpi=150)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"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": "3.7.1"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
You can’t perform that action at this time.