{ "cells": [ { "cell_type": "markdown", "id": "dabd3efe-63a4-496c-8732-de27364990c9", "metadata": {}, "source": [ "## Simulating the PHYS 232 Dice Game\n", "### January 25, 2025\n", "\n", "The rules of the game:\n", " - Pay $\\$1.75$ to roll a pair of dice, $D_1$ and $D_2$.\n", " - If $\\left\\vert D_1- D_2\\right\\vert \\ge 3$, you enar $M_1 = \\$ 1$.\n", " - If $1 \\le \\left\\vert D_1- D_2\\right\\vert \\le 2$, you enar $M_2 = \\$ 2$.\n", " - If $D_1 - D_2 = 0$, you earn $M_3 = \\$ 3$.\n", "\n", "Start by importing some packages." ] }, { "cell_type": "code", "execution_count": 2, "id": "f73be5cf-b999-4dcc-81ab-8e74e7020cf0", "metadata": {}, "outputs": [], "source": [ "import random\n", "import matplotlib.pyplot as plt\n", "import numpy as np" ] }, { "cell_type": "markdown", "id": "90f7179c-5c16-4b47-a4aa-c2f8197d9a27", "metadata": {}, "source": [ "We can simulate a roll of a die using ```random.choice()```." ] }, { "cell_type": "code", "execution_count": 3, "id": "37945062-335f-4930-b291-25db330501ff", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(5, 5, 0)" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "D1 = random.choice([1, 2, 3, 4, 5, 6])\n", "D2 = random.choice([1, 2, 3, 4, 5, 6])\n", "diff = abs(D1- D2)\n", "D1, D2, diff" ] }, { "cell_type": "markdown", "id": "8602a713-f8dd-492c-b4ee-73baad98f779", "metadata": {}, "source": [ "The amount paid out can be determine using an ```if``` statement." ] }, { "cell_type": "code", "execution_count": 4, "id": "4f720aef-61ee-4135-a7cc-8c2c1d676540", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(3, 1.25)" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "if diff == 0:\n", " M = 3\n", "elif diff == 1 or diff == 2:\n", " M = 2\n", "else:\n", " M = 1\n", "cost = 1.75\n", "profit = M - cost\n", "M, profit" ] }, { "cell_type": "markdown", "id": "c5231edc-efdc-46cb-88f7-a0d43e8f9bee", "metadata": {}, "source": [ "All of this can be put inside a loop to simulate $N$ plays." ] }, { "cell_type": "code", "execution_count": 24, "id": "95c18c66-9fe6-47d4-a2b1-cd81538996dd", "metadata": {}, "outputs": [ { "data": { "image/png": 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aw8nJyUhKSjIOHjxoAEZERES2cWZe49okJjexjxkzxqhZs6aRcU0yOmrUqFwlRM8//7xVWePGjY0XXnjBMIyrCVFmkpgpMDDQeOONN6zK7r77buPFF1+0bNerV88YP368ZfvahCine80NJUQiYjPHjxuGj49hPPWUYVy+bO9obCK3CZH6EBVT+/bt48qVK7Rv396qPCUlhfr161u2H330URYtWsSUKVP45JNPqF69epZzNW3a1PK1j48PNWrUYP/+/QBs3bqVv//+m/nz51vqGIZBRkYGUVFR7N69G2dnZ1q2bGnT2Pfv30+TJk0wmUzZxnkj19dr2rRplpFg4ZkLGAIJCQmcOnWK5s2bW9Vp3rw5O3fuzNU1RUTsJjoaKlQwfx0UBLt2XV2PrBhRQpSfLl0y/1uq1NWyl1+GoUOzLnoXG2v+1939atmAAdC/f9Z5HjL7wlxbN4/9TTL+HT65dOlS7rjuB9/Nzc3ydWJiIlu3bsXZ2ZlDhw7l+vyZiUhGRgbPPfccgwcPzlKnUqVK/P3333mKO7exG//2e7KVaxMrAI/MKetvUMcwjCxlIiIOIz0dJkyAd94xD61v0MBcbodkKDU9g7R0A3dX+81rpIQoP2XzoYmrq/mVm7ouLuZXbuvmQa1atXBzc+P48eM3bJ0ZPnw4Tk5O/PLLL3Tp0oX77ruPNm3aWNXZsGEDlSpVAiAuLo6//vqLO++8E4AGDRqwd+9eqlatmu3569SpQ0ZGBqtXr6Zdu3ZZ9rv++71Kv2Y21NzEXqtWLRYvXpwlztzYsGEDffr0sdq+ttXsel5eXgQGBrJu3TpatGhhKY+MjKRRo0a5uiZkf68iIvnGyQl274YrV2DJkqsJUQF6b8UhZqz4CwB3F2d+H96SwDLuNzkqfyghKqY8PT0ZMWIEL730EhkZGdxzzz0kJCQQGRlJ6dKl6du3L0uXLmX27NmsX7+eBg0aMHr0aPr27cuuXbsoe82aNZMmTaJcuXL4+/vzyiuv4OvrS/fu3QEYNWoUTZo0YcCAAfTv3x8PDw/2799PREQEH3zwASEhIfTt25enn36a999/n3r16nHs2DFiY2Pp0aMHwcHBmEwmfv75Z7p06YK7u3uuYn/++eeZPn06w4YN47nnnmPr1q3MnTs3V9+b77//nvDwcO655x7mz5/Ppk2bmDVr1g2Pefnllxk/fjxVqlThrrvuYs6cOezYscPqUeHNZHevpUuXzvXxIiK5YhjmmaZNJpgzB37/HR55pMDDiNh32pIMASSlpvPn32d5NDyowGMBNMost26pU7WDy8jIMN577z2jRo0ahouLi1G+fHmjY8eOxurVq43Y2FjD39/fePPNNy31U1NTjUaNGhk9evQwDONqJ+AlS5YYtWvXNlxdXY27777b2LFjh9V1Nm3aZLRv394oXbq04eHhYdStW9eqA3JSUpLx0ksvGRUqVDBcXV2NqlWrGrNnz7bsnzRpkhEQEGCYTCajb9++N40905IlS4yqVasabm5uxr333mvMnj07V52qP/roI6N9+/aGm5ubERwcbHz77beW/dd3hM6Unp5uTJw40bjjjjsMFxcXo169esYvv/xiVedmnapzutebKaw/fyJSwFJSDGPkSMN49VW7hrFs1ykjeNTP2b7yQ247VZsMw8adLYqohIQEvL29iY+Px8vLy2rflStXiIqKIjQ0lJIlS9opwoK3atUqWrduTVxcHGXKlLF3ODZhMplYtGiRpYWrMCiuP38ikke//gqdOplbhvbtg3+7NhSUi1dSaTN9NWcuJme7f/Mr7Sjv6Zbtvttxo8/va+mRmYiISHHQsaN5YE+jRgWeDAHUmfBbtuVHp95XwJFkz64zVa9Zs4b777+fwMBATCZTlk6w/fr1w2QyWb2aNGliVSc5OZlBgwbh6+uLh4cH3bp14+TJk1Z14uLi6N27N97e3nh7e9O7d2+tFyUiIkVbSgq89RZcszIA06YVeH+hi1dSCRm9NEv5F33CHSYZAjsnRJcvX6ZevXp8+OGHOdbp1KkT0dHRlteyZcus9g8dOpRFixaxYMEC1q1bx6VLl+jatavVSJ1evXqxY8cOli9fzvLly9mxYwe9i/iaLAWhVatWGIZRZB6XgXmofGF6XCYikqMePWD0aBg0yK5htJ2+2mr7wfp3EDWlC+1q+dspouzZ9ZFZ586d6dy58w3ruLm55bgAZnx8PLNmzeKrr76yDNn++uuvCQoKYsWKFXTs2JH9+/ezfPlyNmzYQOPGjQH4/PPPadq0KQcPHqRGjRrZnjs5OZnk5KvPORMSEm7lFkVEROxjyBDz/EIPPFCglz1+LpEWb6/Mdt/r3cPo3SQ423325vCLu65atQo/Pz+qV69O//79ic2cwBDzLMipqal06NDBUhYYGEhYWBiRkZEArF+/Hm9vb0syBNCkSRO8vb0tdbIzZcoUyyM2b29vgoJuPgxQ/dPFHvRzJyIAJCfDwYNXt1u3hqioAk+IckqGpj9az2GTIXDwhKhz587Mnz+fP/74g+nTp7N582batGljabmJiYnB1dXVak4cAH9/f2JiYix1/Pz8spzbz8/PUic7Y8aMIT4+3vI6ceJEjnVd/p0UMTExMc/3KHK7Mn/uXPI4OaeIFCEnT0KzZtC2LZw9e7W8gOcye2PpvmzLB7WpysMNKxZoLHnl0KPMevbsafk6LCyM8PBwgoODWbp0KQ899FCOxxnXLZmQ3fIJ19e5npubm9USFjfi7OxMmTJlLK1XpUqV0pINku8MwyAxMZHY2FjKlCmD8/VLvIhI8VGmjHm5qCtX4O+/wde3wEM4nXCFz9dGWbZrB3rxwwvNACjp4vj/Pzl0QnS9ChUqEBwcbFlTKyAggJSUFOLi4qxaiWJjY2nWrJmlzunTp7Oc68yZM/j7265DV2Y/p2sf6YkUhDJlyuTYz05EirC0tKvrYpYuDYsXg6cnVCz4lpiPV/3NtOVXH9cNbVeNoe2yLgbuyApVQnTu3DlOnDhBhX9X5W3YsCEuLi5ERETQo0cPAKKjo9mzZw/Tpk0DzCuVx8fHs2nTJsu6Uhs3biQ+Pt6SNNmCyWSiQoUK+Pn5kZqaarPzityIi4uLWoZEiqODB82jyMaPh8wnJjVr2iWU/9vxj1UyBDCkbTW7xHI77JoQXbp0yWq186ioKHbs2IGPjw8+Pj5MmDCBhx9+mAoVKnD06FHGjh2Lr68vDz74IADe3t4888wzDB8+nHLlyuHj48OIESOoU6eOZdRZzZo16dSpE/379+fTTz8F4Nlnn6Vr1645jjC7Hc7OzvqAEhGR/DVvHuzaBWPGmDtN2+lzZ+ux8wxZsMOqrEMt/0LZbcSuCdGWLVto3bq1ZXvYsGEA9O3bl08++YTdu3fz5ZdfcuHCBSpUqEDr1q1ZuHAhnp6elmNmzJhBiRIl6NGjB0lJSbRt25a5c+daJSXz589n8ODBltFo3bp1u+HcRyIiIg5t4kRISoKRI+2WDGVkGDz8yXqrssNvdsHZqfAlQwBayyyXcrsWioiIiM3t3QtffQVTppjXIrOTyMNn6fX5xmz37ZvUkVKujtcTR2uZiYiIFAUXLkDz5hAfD1Wrwn/+U+AhXLySmuNaZACbXmnrkMlQXjj0PEQiIiLFXpkyMG4cdOgA3brZJYQbJUNrXm6Nn2fJAowmfxTudE5ERKQo2rXLPJdQYKB5+6WXYOhQcCr4dozYi1eylK0a0Yqk1HRqVig6XUiUEImIiDiSH36AJ56AJk1gxQrzXEMmk936DvX+YpPl699eakF1f88b1C68lBCJiIg4kjp1wMUFPDwgMRHyeSDP+cspNHg9gs5hAXzUqwGVxy4DYFzXWkz62XopjqKaDIFGmeWaRpmJiEi+uXjRPMt0pn374M478/0RWWzCFRq9+Xuu6v46tAU1AgpfQqRRZiIiIo7OMOCjj8wzTv/5pzkJAqhVK98ueTrhCo1zmQRdq7p/wS4UW9A0ykxERMReDMO8Btn58zBrVgFczrilZOjA650K5ezTeaEWIhEREXtxcoKvv4ZFi+D55/P9cqN+2JVt+foxbSjj7spHK/+me/1Aqvp5cvFKKqXdShT5RCiT+hDlkvoQiYjIbTMMmDnT/O+/y1UVlB7/Xc+mo+ct2z++2Ix6FcsU2qU2ckt9iERERBzN8uXmRMjZGTp1yte+Qtc6nXDFKhlqX8ufBpXKFsi1CwslRCIiIgWlUyd46ikID4eaNQvsstf2G7ozwJPP+4QX2LULCyVEIiIi+SUjA+bOhSefBFdX8+SKs2cXaAjfbTlhtb18aIsCvX5hoVFmIiIi+aVPH3jmGRg1ym4hjPzf1Y7Uf03ubLc4HJ0SIhERkfzSsye4u0Pt2na5fMjopZav33vsLlxL6GM/J3pkJiIiYivp6RATA3fcYd6+/36IigJ//wIPZfz/7bHavr9uYIHHUJgoIRIREbGF2FjzoqxRUbBt29U1yAowGUpJy6D3rI1sjDqfZZ9TER9ef7uUEImIiNhCiRLw119w9qw5IWrVqkAvfyU1nTtfW56lfFzXWjx9T2iBxlIYKSESERG5VYZhHjkG4OMDP/wApUoV2PxC18ouGQKUDOWSeleJiIjcilOnoF07iIi4WhYeXuDJUEpaBu+tOJSl/MNe9Tk69b4CjaUwUwuRiIjIrXj3XfjjDzh2DA4cMD8yKwDxSakkJKVSsaw7k5fuZ9a6KKv9K4a1pKpf0V6ZPj8oIRIREbkVr79uHlE2blyBJUMZGQb1Jv6W4/5+zUKUDN0iPTITERHJjRMnYPr0q9vu7uaV6qtXL7AQtp+4kOM+D1dnxt9f8H2Xigq1EImIiNxMfDw0bAhnzkCFCtCrl13CmPrL/mzL1Vfo9ikhEhERuRlvb3jhBVi6FBo3tksIhmGw+WgcYF6gdfGA5iSnZuBdysUu8RQ1emQmIiKSnaNHzXMKZRo3Dv78E6pUKbAQHv9sAyGjl3L+cgqvXTPz9LynG1HSxVnJkA2phUhEROR6v/1mXoeseXNYssQ815Czs/lVAD5a+Tdv/3rQst3g9Qir/f5eJQskjuJELUQiIiLX8/eHpCRzC9GFCwV66SNnLlklQ9db/XKrggumGFELkYiICEBqKrj8+wiqXj3zHEPh4eDqWmAh9J61kbWHzua4v4J3SYLLeRRYPMWJEiIREZHvvoORI2HVKggJMZc1a1bgYVyfDPmWdmXdqDYcOn2JWoFeOGuB1nyjhEhERIq39HTzrNPHjsE778CHH9oljI9W/m21fe1Q+joVvQs6nGJHCZGIiBRvzs6wYAHMnQuvvmqXEC5eSbXqN6R5hQqeOlWLiEjx8803MHv21e2QEJgwocCW4MiUnmEQHZ9EnQlXl+N47O6gAo1BzNRCJCIixcuvv8ITT4Cbm7mf0J132i2UKmOXZSmb+nBdO0QiSohERKR46dABHnjAPJKsWjW7hRGfmJqlbM3Lre0QiYASIhERKQ6WLoVOncz9hUwm+PFHcLJvr5GvNhzNUlapXKmCD0QA9SESEZGibuBA6NoVXn/9apmdkyGAd377C4AypVyY9khdDr/Zxc4RFW/2/4kQERHJT02bmhMgNzd7R2IRefjqfEND21ajR3iQ5hiyMz0yExGRosUwID4eypQxbz/xBNx9N1SvbtewMp27lEyvzzdath9rVMmO0Ugmu7YQrVmzhvvvv5/AwEBMJhOLFy+27EtNTWXUqFHUqVMHDw8PAgMD6dOnD6dOnbI6R6tWrTCZTFavxx57zKpOXFwcvXv3xtvbG29vb3r37s2FAl6bRkRECkBCAvTqBS1amNciy+QgyRBAw8krLF/fUcadki4Fs2Cs3JhdE6LLly9Tr149PsxmVtDExES2bdvGa6+9xrZt2/jxxx/566+/6NatW5a6/fv3Jzo62vL69NNPrfb36tWLHTt2sHz5cpYvX86OHTvo3bt3vt2XiIjYSWKieQ2yfftgzRp7R5PF9bNRa6FWx2HXR2adO3emc+fO2e7z9vYmIiLCquyDDz6gUaNGHD9+nEqVrjYxlipVioCAgGzPs3//fpYvX86GDRto3LgxAJ9//jlNmzbl4MGD1KhRw0Z3IyIidhcQAAsXmhdktcNaZDdy6PRFq9moN45tSwlndeV1FIXqnYiPj8dkMlEm87nwv+bPn4+vry+1a9dmxIgRXLx40bJv/fr1eHt7W5IhgCZNmuDt7U1kZGSO10pOTiYhIcHqJSIiDiY+Hh5/HNavv1rWqpXDJEOXk9MIGb2UkNFLaT/jaovV440q4e9V0o6RyfUKTafqK1euMHr0aHr16oWXl5el/IknniA0NJSAgAD27NnDmDFj2Llzp6V1KSYmBj8/vyzn8/PzIyYmJsfrTZkyhYkTJ9r+RkRExHYmTDCvQ7Z5Mxw4UOBLb9xIRoZB7fG/ZrvvzQfDCjgauRnH+cm5gdTUVB577DEyMjL4+OOPrfb179/f8nVYWBjVqlUjPDycbdu20aBBAwBMpqxDGQ3DyLY805gxYxg2bJhlOyEhgaAgrS8jIuJQJk6EvXth8mSHSoY+/OOQZZ6h6216pe0NP3/EPhznpycHqamp9OjRg6ioKP744w+r1qHsNGjQABcXFw4dOkSDBg0ICAjg9OnTWeqdOXMGf3//HM/j5uaGmwPNWSEiIsD587BkCfTta9728oLffrvxMQXs+a+2snxv1icQh97ojIv6DDksh06IMpOhQ4cOsXLlSsqVK3fTY/bu3UtqaioVKlQAoGnTpsTHx7Np0yYaNWoEwMaNG4mPj6eZgzxjFhGRXEhIgAYN4Ngx8PGB+++3d0RWao9bzuWU9CzlG8e2VX+hQsCuCdGlS5f4+++rQxCjoqLYsWMHPj4+BAYG8sgjj7Bt2zZ+/vln0tPTLX1+fHx8cHV15fDhw8yfP58uXbrg6+vLvn37GD58OPXr16d58+YA1KxZk06dOtG/f3/LcPxnn32Wrl27aoSZiEhh4uUFDz5obiG64w57RwOYO03PWhfFuxHZPx6LmtJFj8cKCZNhGIa9Lr5q1Spat866sm/fvn2ZMGECoaGh2R63cuVKWrVqxYkTJ3jyySfZs2cPly5dIigoiPvuu4/x48fj4+NjqX/+/HkGDx7MTz/9BEC3bt348MMPs4xWu5GEhAS8vb2Jj4+/6WM7ERGxkbNnzUtueHqat1NS4MoVc3JkZ/GJqdSblP3junY1/fmsd0OctByH3eX289uuCVFhooRIRKSARUZCjx7mWafnzzevUu8gMjIMKo9dlqV8bJc7ebRhEGU9XO0QlWQnt5/fDt2HSEREirmYGNi2zdyZOhf9SAtKdsnQ3okd8XDTx2phpXdOREQch2FcbQlq1gx++sncQlS6tH3jukbI6KVW2+onVDRo/J+IiDiGlSvNo8iunTS3SxeHSobufO0Xq23NKVR0KCESERH7y8iAl16CHTvMs087oKSUdK6kZli2H29UCT9PDacvKvTITERE7M/JybwEx3vvwTvv2DuaLNIzDGqOW27ZnvZwXXrcrdULihK1EImIiH1ERMCPP17dvvNO+OQT8PCwX0w56PrBOqttJUNFj1qIRESk4P3+O3TsaE5+6taFqlXtHVGOFm0/yf7oBMv2prFt7RiN5BclRCIiUvBatTKPHqtZ02Fmnc7O4TOXeGnhTsv2/P80xk/LcBRJSohERKRgbNwIjRqZh9U7O8Py5VDScZOL9AyDttNXW5U1r+prp2gkv6kPkYiI5L/XXoMmTWDGjKtlDpoMGYbBuxF/UeW6yRf/fqOznSKSgqAWIhERyX+BgeZ///nHvnHchGEYhI7JOgv13290poSz2hCKMiVEIiKSP5KTzQuzAjz/PNx1FzRtateQbia7ZOj34S2VDBUDeodFRMS2UlJg6FBo3RpSU81lJpPDJ0M/7TyVpWz1y62oUt5xZsqW/JPnhGjSpEkkJiZmKU9KSmLSpEk2CUpERAqxmBiYOxfWr4dff7V3NLk2+Nvtlq/3TuxI1JQuBJdzvDmRJH+YDMMw8nKAs7Mz0dHR+Pn5WZWfO3cOPz8/0tPTbRqgo0hISMDb25v4+Hi8vLzsHY6IiGNbssT87/332zeOm0hJy8C1hBNjF+3mm43HLeVHp95nx6jElnL7+Z3nPkSGYWS7kN3OnTvx8fHJ6+lERKSwu3IFRo2Cp5+GevXMZQ6eCAH8dfoiHWasyVKuZKh4ynVCVLZsWUwmEyaTierVq1slRenp6Vy6dInnn38+X4IUEREHNnYsvP8+/PYb7NoFLi72jihXskuGNmoW6mIr1wnRzJkzMQyDp59+mokTJ+Lt7W3Z5+rqSkhICE0dvMOciIjkg7FjYeVKePPNQpMMbTl6PktZCScT/pqFutjKdULUt29fAEJDQ2nWrBkuheSHXkREbCwpybwWWdeu5m1fX9i2zTySzAGlpWcw5ZcDvNiqCuVKu/G/rScZ8f3V5Tje7VGPMxeTebZFZTtGKfaWq4QoISHB0hGpfv36JCUlkZSUlG1ddTgWESnCLl6E5s1hzx5zUtS6tbncQZMhgKqv/ALArHVRWfa1qlGehxpULOiQxAHlKiEqW7asZWRZmTJlsu1UndnZuqiOMhMREcDTE+6+G2Jj7R3JTfX/cgsR+07fsM57PesXUDTi6HKVEP3xxx+WEWQrV67M14BERMTBXL4MTk7g7m7e/uADeOMNCAiwb1w3cPjMpZsmQ7UDvfAupe4fYparhOi9996jfv36eHl5cezYMXr27Ilb5nTsIiJSdO3ZAz16QIsW8N//mstKlTK/bOTUhSScb6FDc4PXIzh/OQWAan6l+XVoCz5ZfZgNR86x9tDZbI/ZN6kjpVy1apVklauJGV1dXTl27BgVKlTIcWLGok4TM4pIsfTbb9Cpk7k1aNcucwdqGzoYc5GOM83D3yc9UJs+TUMs+zIyDCqPXYanWwkuJqdZHVfK1ZnElNx30fhzdBvuKONuk5ilcMnt53euEqK6devSoEEDWrduzVNPPcX777+f40n79Olz61E7MCVEIlJsffUVdOwINv5D+MT5RO6dlrUbxke9GjB/4zEiD5+77WtsfqUd5T31RKM4s2lCFBkZybBhwzh8+DDnz5/H09Mz247VJpOJ8+ezzu1QFCghEpFiYedOePllWLgQypbNt8tM+GkvcyOP5tv5QcmQmNk0IbqWk5MTMTExemQmIlLUZGSYl97YsweefRY+/dSmp7+Sms6RM5eJjk/imXlbbukc3u4ufNq7IY99tgGASj6lWP1yK0LHLAPgqeYhPNuiMgFeJbP9w12Kn3xbyywqKory5cvfVnAiIuKAnJxg3jzzjNNvvmnz09/52vJsy3eMa0+ZUq78dfoir/+8z6pD9O4JHSjtViJLcjOuay0m/byP/z3fFJPJpPXH5LbluYUI4MKFC8yaNYv9+/djMpmoWbMmzzzzjNVyHkWNWohEpEjasgXi4qB9+3y9THJaOjVezZoQta/lz+d9wq3KLien8XfsJeoFlcnXmKR4yLdHZlu2bKFjx464u7vTqFEjDMNgy5YtJCUl8dtvv9GgQYPbDt4RKSESkSJnzRpo18482eKOHRAUZLNTh4xeavm6d5NgvtpwLEudA693oqSLs82uKZKdfEuI7r33XqpWrcrnn39OiRLmJ25paWn85z//4ciRI6xZk3X14KJACZGIFDnJyeZlOIKCYPZsm3WivjYZyk7UlC7q3yMFJt/6EG3ZssUqGQIoUaIEI0eOJDw8/AZHioiI3R06BFWrmtcec3ODiAgoU8Zma5HtOnnhhvv/HN1GyZA4JKe8HuDl5cXx48ezlJ84cQJPT0+bBCUiIvlg5kyoVcvcGpSpbFmbJUP95myi24d/WraHta9utX9y9zBNjigOK88tRD179uSZZ57hnXfeoVmzZphMJtatW8fLL7/M448/nh8xioiILVy5AmlpsHYtPPOMTU+98mAsqw6esWz/NLA5dSuWoVu9QA7EXKRTmOOueyYCt5AQvfPOO5hMJvr06UNamnkqdRcXF1544QWmTp1q8wBFROQ2ZGSYh9MDjBxpbiG6/36bXuLF+VtZtjvGqqxuxTIAhPh6EOLrYdPrieSHPHWqTk9PZ926ddSpU4eSJUty+PBhDMOgatWqlLLhQn+OSJ2qRaRQyciAt94yjyT7+Wdwzp/RXHP/jGLCkn2W7Y61/fm0t/qTiuPIt1FmJUuWZP/+/YSGht52kIWJEiIRKVSioiAsDBIT4ccf4cEHbX6J85dTaPB6hFXZoTc64+Kc5+6pIvkm30aZ1alThyNHjhS7hEhEpFAJDTUvvZGSAt272/z03285wcv/22XZrlvRmyebBCsZkkIrzy1Ev/32G6NGjeL111+nYcOGeHhYPxsuqq0naiESEYeWnm5+RPboo1CtWr5eKu5yCvWvaxnS0hniqPKthahTp04AdOvWzWouCcMwMJlMpKen30K4IiJyW8aOhWnT4PvvYdMmcHG5rdOlZxgkpqThWdJ8niup6TmuRfZiqyq3dS0RR5DnhGjlypU2u/iaNWt4++232bp1K9HR0SxatIju1zTtGobBxIkT+eyzz4iLi6Nx48Z89NFH1K5d21InOTmZESNG8O2335KUlETbtm35+OOPqVixoqVOXFwcgwcP5qeffgLMydwHH3xAmTJlbHYvIiJ2NXgwfPcdvPTSbSdDAFXGLstVPbUMSVGR54SoZcuWNrv45cuXqVevHk899RQPP/xwlv3Tpk3j3XffZe7cuVSvXp3JkyfTvn17Dh48aJkEcujQoSxZsoQFCxZQrlw5hg8fTteuXdm6dSvO/46q6NWrFydPnmT5cvNfN88++yy9e/dmyZIlNrsXEZEClZZmbglq1sy8fccdcPAguLre9qnn/hmVq3rLBt9729cScRS3tNp9XFxcltXun3rqKXx8fG49EJPJqoXIMAwCAwMZOnQoo0aNAsytQf7+/rz11ls899xzxMfHU758eb766it69uwJwKlTpwgKCmLZsmV07NiR/fv3U6tWLTZs2EDjxo0B2LBhA02bNuXAgQPUqFEj23iSk5NJTk62bCckJBAUFKQ+RCJifxcvQteusH49/Pkn3H23zU597NxlWr69Ktt9DYPL0rG2P8/cUxkT4OSkJTjE8eW2D1GehwOsXr2akJAQ3n//feLi4jh//jzvv/8+oaGhrF69+raCvlZUVBQxMTF06NDBUubm5kbLli2JjIwEYOvWraSmplrVCQwMJCwszFJn/fr1eHt7W5IhgCZNmuDt7W2pk50pU6bg7e1teQXZcBVoEZHbUro0+PmZ1yI7dcompzQMg8Hfbs82Gbq3mi/vPXYXP7zQjGdbVMHZyaRkSIqcPD8yGzBgAD179uSTTz6xPJJKT0/nxRdfZMCAAezZs8cmgcXEmGc99ff3tyr39/fn2LFjljqurq6UvW6FZn9/f8vxMTEx+Pn5ZTm/n5+fpU52xowZw7BhwyzbmS1EIiJ2kZpq/tfFxbz22BdfQGyszUaU1Z3wGxeT06zKtCq9FCd5biE6fPgww4cPtyRDAM7OzgwbNozDhw/bNDggyy9j5mi2G7m+Tnb1b3YeNzc3vLy8rF4iInZx/Di0agWvvnq1zNvbZsnQF2uPZEmGDk7upGRIipU8J0QNGjRg//79Wcr379/PXXfdZYuYAAgIMC8EeH0rTmxsrKXVKCAggJSUFOLi4m5Y5/Tp01nOf+bMmSytTyIiDmnrVoiMhM8+g7NnbXrqs5eSmbz06v/pw9tX5+jU+3ArkT9LfYg4qjwnRIMHD2bIkCG88847rFu3jnXr1vHOO+/w0ksvMXToUHbt2mV53Y7Q0FACAgKIiLg6+VdKSgqrV6+m2b+jKho2bIiLi4tVnejoaPbs2WOp07RpU+Lj49m0aZOlzsaNG4mPj7fUERFxaA8+CDNmmBMjX1+bnfZ0whXCJ6+wbPduEsygtvk7qaOIo8rzKDMnpxvnUCaTKdeTNF66dIm///4bgPr16/Puu+/SunVrfHx8qFSpEm+99RZTpkxhzpw5VKtWjTfffJNVq1ZZDbt/4YUX+Pnnn5k7dy4+Pj6MGDGCc+fOWQ2779y5M6dOneLTTz8FzMPug4OD8zTsXjNVi0iBiYqC116D//7X3IE6H/x1+iIdZqyxvqz6DEkRlG8zVUdF5W5+itzYsmULrVu3tmxndmLu27cvc+fOZeTIkSQlJfHiiy9aJmb87bffLMkQwIwZMyhRogQ9evSwTMw4d+5cqz5O8+fPZ/DgwZbRaN26dePDDz+02X2IiNhMRgZ06wZ79oCXF3z8sU1Om5aewUcrD/N/O/+hZoAXS3dHW+1fN6q1kiEp1m5pHqLiSC1EIlJg1q41L8Xx9dcQHHxbp0pNz6DaK7/csM6SgfdQp6L3bV1HxFHlWwuRiIjY2N9/mztLN2li3r73Xlizxjy8/ja1ymGSxUybX2lHeU+3276OSGGnhEhExJ42bIAOHcx9hXbuhPLlzeU2enz1z4WkHPdpHTKRq5QQiYjYU506EBQEPj5XJ1+0AcMwCB1zdYHWL/qE0+ZOP80wLZIDJUQiIgUtNta89AaAhwdERJi3S9zef8kx8VfYdfICfl4lGbJgu9W+drU075rIjSghEhEpSPPnw3PPwezZ0KOHuSww8LZP2//LLUTsyzoJLcBTzUNu+/wiRV2uEqKyZcvmejjm+fPnbysgEZEibe9euHwZvv32akJ0m3afjM8xGXq8USXG31/bJtcRKcpylRDNnDnT8vW5c+eYPHkyHTt2pGnTpoB5Rflff/2V1157LV+CFBEpMiZNgsqV4amnbHK6H7edZNh3O7Pf92IzGlQqm+0+EbGW53mIHn74YVq3bs3AgQOtyj/88ENWrFjB4sWLbRmfw9A8RCKSZ4YBc+fC77/DV1/ZbOQYQFJKOjXHLbcqq+pXmhXDWtrsGiJFQW4/v/O8ltmvv/5Kp06dspR37NiRFStWZHOEiEgxFRVl7i80fz4sWmTTUw/4ZluWsi/6hNv0GiLFSZ4TonLlyrEom1/sxYsXU65cOZsEJSJSJFSubF6U9Y03oHt3m576jwOxVttPNQ8hxNfDptcQKU7yPMps4sSJPPPMM6xatcrSh2jDhg0sX76cL774wuYBiogUGoZhHj3WsSNUrGguGzDA5pc5evay5etfhtxLzQp6jC9yu/KcEPXr14+aNWvy/vvv8+OPP2IYBrVq1eLPP/+kcePG+RGjiEjhMHGi+dW8OaxaddvzCl3PMAwe+iSS7ccvWMqUDInYxi39tjZu3Jj58+fbOhYRkcKtd2/48EPz4zGnPPdIyFFOC7TeHaIRZCK2cksJ0eHDh5kzZw5Hjhxh5syZ+Pn5sXz5coKCgqhdW/NdiEgxYRhw4ADUrGnerlIFjhwBG45EDRm9NMd9c55qZLPriBR3ef4TZvXq1dSpU4eNGzfyww8/cOnSJQB27drF+PHjbR6giIhDSkyERx6Bhg3Nky1msmEy9NLCHdmWV/MrzSdPNKC0mxYbELGVPP82jR49msmTJzNs2DA8PT0t5a1bt+a9996zaXAiIg6rZEnzjNNpabBjB9igdfzT1YeZ8suBHPdHTemS61UDRCRv8pwQ7d69m2+++SZLefny5Tl37pxNghIRcUiGYX45OZlfX34Jx49D+O3P/zPi+538b+vJHPcfnXrfbV9DRHKW50dmZcqUITo6Okv59u3bueOOO2wSlIiIwzl/Hh54AKZOvVrm52eTZOjv2Is5JkPfP99UyZBIAchzQtSrVy9GjRpFTEwMJpOJjIwM/vzzT0aMGEGfPn3yI0YREftbvhyWLDFPsnjmjM1Oe/FKKu3eXWNVdndIWRa92IyjU+/j7hAfm11LRHKW50dmb7zxBv369eOOO+6wzEGUnp5Or169ePXVV/MjRhER+3v8cdi3z9yRunx5m522zoTfrLbVGiRiH3le3DXTkSNH2LZtGxkZGdSvX59q1arZOjaHosVdRYqZM2fgzTfNj8jc3Gx66rT0DA6fuczPu07xwR9/W8oPvN6Jki7ONr2WSHGX28/vPLcQTZo0iREjRlC5cmUqV65sKU9KSuLtt99m3LhxtxaxiIijyMiA9u1h507z9owZNju1YRhUzWaSxS2vtlMyJGJHee5DNHHiRMvcQ9dKTExk4sSJNglKRMSunJzMrUM1a8LTT9v01KFjlmUpe7dHPXxL27YVSkTyJs8JkWEY2c6DsXPnTnx81PlPRAqp06dhz56r2126wK5dUKeOzS6xPzohS1mjEB8ealDRZtcQkVuT60dmZcuWxWQyYTKZqF69ulVSlJ6ezqVLl3j++efzJUgRkXy1fTt07gylSsG2bVCmjLk8h8VZT11IYvPR8zxwV96mGnk34i/L18PbV2dQ26Ld91KkMMl1QjRz5kwMw+Dpp59m4sSJeHt7W/a5uroSEhJC06ZN8yVIEZF8FRoK7u7g4WGebygzIcpBs6l/ADBkwQ6rjtCXktP44PdDJKakM7ZLTdxdzeXXr0fWu0mwkiERB5PnUWarV6+mWbNmuLi45FdMDkmjzESKmMuXzQlQpr/+gooVza1EOYiOT2LjkfMMvW6Nsb/f6IyTyUTlsVn7B2Vn+2vtKevheitRi0ge5fbz+5aH3YN5ZFlqaqpVWVFNFpQQiRQhv/4KffrAvHnQqVOuDok6e5nW76y67UtP7h7Gk02Cb/s8IpI7uf38znOn6sTERAYOHIifnx+lS5embNmyVi8REYe3ZAnExsL06VbFOf19uP7wOZskQ9tfa69kSMRB5Tkhevnll/njjz/4+OOPcXNz44svvmDixIkEBgby5Zdf5keMIiK29c475iU4liyxFIWMXkromGX8d/VhLl5J5UpqumXf459vyHKKqCldeKFVlSzlm8a2ZeWIVjxY/2qH6/qVynB06n16TCbiwPL8yKxSpUp8+eWXtGrVCi8vL7Zt20bVqlX56quv+Pbbb1m2LHfP0AsbPTITKcR+/hl+/z3bCRbjLqfQYeYazlxMztWprl9aY9vxOH7eGc2LratQxt2FEs55/jtTRPJRvs1Uff78eUJDQwFzf6Hz588DcM899/DCCy/cYrgiIvnk6FHo3h3S06FFC3jwQavdY37cnetkKHJ0myxlDSqVpUEldRcQKezy/KdM5cqVOXr0KAC1atXiu+++A2DJkiWUuclQVRGRAhcSAhMmwJAh5skWr2EYBsv3xuTqNJ/1bkhgGXfbxyciDiHPLURPPfUUO3fupGXLlowZM4b77ruPDz74gLS0NN599938iFFEJG+WLIEmTa6uSv/KK3DdDPtbj8Xx8CeRlu1BbaoyrL150tkT5xNp9c4qynm40qVOBV5qVx3vUsVrqhGR4ua2ht0DHD9+nC1btlClShXq1atnq7gcjvoQiRQSb78NI0dCx46wbJl5XbJrvPvbQd6/ZoX5TNf3DRKRoiHf+hBdr1KlSlSqVOl2TyMiYhudOsH48Zy4ozJHD57m3poVaDbld07FX8nxkFGd7izAAEXEEeUqIXr//fdzfcLBgwffcjAiIrckOhoqVDB/XacO63/dwONLT8C8bTc9dMnAe6hT0fum9USkaMtVQjQjm6Gq2TGZTEqIRKTgJCfDSy/B/PnmBVorVwYwJ0O50KJ6eSVDIgLkMiGKiorK7zhERPLOyQl27oSEBIzffuMFj7tzHDU2uXsY1fxKczIuiYcbVizgQEXE0Tn8DGIhISGYTKYsrwEDBgDQr1+/LPuaNGlidY7k5GQGDRqEr68vHh4edOvWjZMnT9rjdkTEFjLHgri4wIIFsHw5r/g3v+EQ+iebBNO4cjklQyKSrTx3qn766advuH/27Nm3HEx2Nm/eTHr61Sn09+zZQ/v27Xn00UctZZ06dWLOnDmWbVdX6+nxhw4dypIlS1iwYAHlypVj+PDhdO3ala1bt+Ls7GzTeEUkHyUmwuDBcNddMHCguSwoCIKC+Gb0Uquqiwc0566gMgUeoogUTnlOiOLi4qy2U1NT2bNnDxcuXKBNm6yzuN6u8pnziPxr6tSpVKlShZYtW1rK3NzcCAgIyPb4+Ph4Zs2axVdffUW7du0A+PrrrwkKCmLFihV07NjR5jGLSD757juYNQtKloRHHwV/fwAGzLfuPL1pbFv8vEraI0IRKaTynBAtWrQoS1lGRgYvvvgilf/t0JhfUlJS+Prrrxk2bBimayZZW7VqFX5+fpQpU4aWLVvyxhtv4OfnB8DWrVtJTU2lQ4cOlvqBgYGEhYURGRmZY0KUnJxMcvLV6fwTEhLy6a5EJNf69oX16/m+SjNenrEl2yqaT0hEboVN+hA5OTnx0ksv5Xo02q1avHgxFy5coF+/fpayzp07M3/+fP744w+mT5/O5s2badOmjSWZiYmJwdXVlbJlrdca8vf3JyYm5/4GU6ZMwdvb2/IKCgrKl3sSkRu4dAmmTIG0NPO2ycTHj7/My+d9s63+wwvNCjA4ESlKbntixkyHDx8mLfM/rXwya9YsOnfuTGBgoKWsZ8+elq/DwsIIDw8nODiYpUuX8tBDD+V4LsMwrFqZrjdmzBiGDRtm2U5ISFBSJFKQDAPatYONG+HyZZg8GYBpyw9mW31g66o0DNYiqyJya/KcEF2bJIA5sYiOjmbp0qX07dvXZoFd79ixY6xYsYIff/zxhvUqVKhAcHAwhw4dAiAgIICUlBTi4uKsWoliY2Np1iznvybd3Nxwc3OzTfAikncmk3mOoeHD4d9H3iHXdJx2djKx9dV2eJV04XxiCr6l9fsqIrcuzwnR9u3brbadnJwoX74806dPv+kItNsxZ84c/Pz8uO++G/cPOHfuHCdOnKDCv7PWNmzYEBcXFyIiIujRowcA0dHR7Nmzh2nTpuVbvCJyCxIS4Nw5CA01b/fsCV27gocHQxZY/9+zd2JHSrqYR4kqGRKR25XnhGjlypX5EccNZWRkMGfOHPr27UuJEldDvnTpEhMmTODhhx+mQoUKHD16lLFjx+Lr68uDDz4IgLe3N8888wzDhw+nXLly+Pj4MGLECOrUqWMZdSYiDmD/fujWDVxdYfNmKFXKXO7hwYXEFP5vxylL1T5Ngy3JkIiILdisD1F+WrFiBcePH8/SAuXs7Mzu3bv58ssvuXDhAhUqVKB169YsXLgQT09PS70ZM2ZQokQJevToQVJSEm3btmXu3Lmag0jEQaSkZRDvUoryly6ZJ1s8fhzuvJOMDIPUjAzumhRhqdutXiCTHgizY7QiUhSZDCNzytfcOXfuHOPGjWPlypXExsaSkZFhtf/8+fM2DdBRJCQk4O3tTXx8PF5eXvYOR6RoSEtjR/Qlun/0JwC1Y/4mvMVdlKzgx6erj2R7iIbVi0he5PbzO88tRE8++SSHDx/mmWeewd/f/4YjtUREcrR5M8YTTzC50X+gYm0A9gZUZe9fl+CvS9kesubl1gUZoYgUI3lOiNatW8e6deuoV69efsQjIsVExkcf43ToEC8nfUnPXlPNo8puYMnAe6hUrlQBRScixU2eE6I777yTpKSk/IhFRIqRqZ1eIGDPeWbe0wtMJg6/2YUHP/6TXSfjrertGNeeMqVccziLiIht5LkP0ebNmxk9ejTjxo0jLCwMFxcXq/1FtX+N+hCJ3Kb16+GPP+CVV0hLz6DqK79Yds3qG07bmv52DE5Eiqp860NUpkwZ4uPjsyzkmjnz87Ur04uIAHDsGLRsCamppIbVYfDFOyy7ypRyoc2dfnYMTkTkFhKiJ554AldXV7755ht1qhaR3AkOhiFDuHLkKOGrkrnkdnUdwR3jOtzgQBGRgpHnhGjPnj1s376dGjVq5Ec8IlJUREZC7drg7Q3AkeGv0mbGWqvO03Oeutte0YmIWMnzavfh4eGcOHEiP2IRkaLi00+hRQvo35+M9AzmRR6lzcx1WUaSNa1czk4BiohYy3ML0aBBgxgyZAgvv/wyderUydKpum7dujYLTkQKp9Ohd+JjwJJ9Zxk1+idSna3/n9g5rgNpGRlafkNEHEaeR5k5OWVtVDKZTEW+U7VGmYnc2MwftjBz82nLdtWzx/m7XFCWViHNNC0iBSnfRplFRUXdVmAiUrQYaWmkTJhIr5kf8U3fmcR6mh+D/e1bKUvdI292KejwRERyJc8JUXBwcH7EISKFyD8Xknjx663sPBmPW1oKi76aT63Lcdy/fw2zGj1oqbfttfaUdHGihJMTriXy3GVRRKTA5Dkh+vLLL2+4v0+fPrccjIg4tnOXklm0/R8mL91vKUsu4cqAB0ZTL/ovFte+utbYimEt8PHQDNMiUjjkuQ9R2bJlrbZTU1NJTEzE1dWVUqVKabV7kSLqr9MX6TBjDc4Z6Qxd9w1HfO5gUZj1BK0RL7Wgmr+nnSIUEckq3/oQxcXFZSk7dOgQL7zwAi+//HJeTycihcDw73byw7aTADy053cGrV/IZZeSrA2tz8q3e+JZ0uUmZxARcWw2eahfrVo1pk6dypAhQ2xxOhFxIM9+ucWSDAH8ENaWiBrNcJkzm3XvPq5kSESKBJv1cnR2dubUqVO2Op2IOIDP1xzhj93/0GPnb5iMDAAOv3U/7Q/8iesTj2seIREpMvL8yOynn36y2jYMg+joaD788EOaN29us8BExP7eWLqP+d+Po/mxXZS9ksCo32dr/UIRKZLynBB1797dattkMlG+fHnatGnD9OnTbRWXiNjZ9uNxYDKx5M4W1Ik5zJNPtsPJScmQiBRNeR5lVlxplJkUGykpEBdHyIwt5m3D4MjQcJwqBNg3LhGRW5Dbz2/NlCYiVx09itG8OTvq34tLeioAd1bwUjIkIkVenhOiRx55hKlTp2Ypf/vtt3n00UdtEpSI2ImTE/F7DhASF02Vc+aRZd/2b2LnoERE8l+eE6LVq1dz331ZF2fs1KkTa9assUlQIlKArnlqfqK0L889+ApdnnqfA36hLBl4D2U127SIFAN57lR96dIlXF2z/gfp4uJCQkKCTYISkQJy6BD06cPxyW/TIiLeXFapDgAbx7bF36ukHYMTESk4eW4hCgsLY+HChVnKFyxYQK1atWwSlIgUkAkTYMMGzvTpb9VSVMrVWcmQiBQreW4heu2113j44Yc5fPgwbdqY1zH6/fff+fbbb/n+++9tHqCI5J9PHxlKwPZ/eLP1U3DN/EKrX259g6NERIqePCdE3bp1Y/Hixbz55pv873//w93dnbp167JixQpatmyZHzGKiK3s3w+rVsELL/DF2iNM2RgL3a6uQXh0atb+gSIixYHmIcolzUMkhd7x41CzJkZSEvvm/o/79rlZdv33yYZ0CtPQehEpevJtHqLNmzezcePGLOUbN25ky5YteT2diBSUSpVI6vk4f1aqS79NiZZiJxNKhkSk2MtzQjRgwABOnDiRpfyff/5hwIABNglKRGxk3z5INCc/Y37cRT2frvTpMYkzpctaqhyZosdkIiJ5Toj27dtHgwYNspTXr1+fffv22SQoEbGBb7+F8HAYMsS8uekEKSVcyHC6ukL99tfa2ys6ERGHkudO1W5ubpw+fZrKlStblUdHR1OiRJ5PJyL5xd8frlyBEydYv+8fq127J3TAs6SLnQITEXE8eW4hat++PWPGjCE+Pt5SduHCBcaOHUv79vprU8SuUlOvft2mDaxZQ+yCH3n8yx2W4qgpXZQMiYhcJ88J0fTp0zlx4gTBwcG0bt2a1q1bExoaSkxMDNOnT8+PGEXkZgwD/vtfqFULzp0D4HJyGiE/x9No6kpLtY61/TFdM9+QiIiY3dKw+8uXLzN//nx27txpmYfo8ccfx8Wl6P7VqWH34tASE6F+ffjrL3jjDRg7lpDRS7NUi5rSRQmRiBQruf38vqVOPx4eHjz77LO3HJyI2FipUvDdd/D77/DSS8RevJKlipIhEZGc3XIv6H379nH8+HFSUlKsyrt163bbQYnITRgGfPABBAfDAw+Yy+rVg3r1OBmXyD1vXX1MduD1TpR0cc7hRCIiAreQEB05coQHH3yQ3bt3YzKZyHzilvmXZ3p6um0jFJGs5s0zD6cvU8a8HEeAeWLFSUv2MfvPKKuqSoZERG4uz52qhwwZQmhoKKdPn6ZUqVLs3buXNWvWEB4ezqpVq/IhRBHJolcvuPdemDQJ/P1Z/dcZQkYvzZIMRU3pYqcARUQKlzwnROvXr2fSpEmUL18eJycnnJycuOeee5gyZQqDBw+2aXATJkzAZDJZvQICri4xYBgGEyZMIDAwEHd3d1q1asXevXutzpGcnMygQYPw9fXFw8ODbt26cfLkSZvGKZLvMjLgp5/Mj8oAXF1h1Sq23P8EIWOW0Xf2piyH7J7QQX2GRERyKc8JUXp6OqVLlwbA19eXU6dOARAcHMzBgwdtGx1Qu3ZtoqOjLa/du3db9k2bNo13332XDz/8kM2bNxMQEED79u25ePGipc7QoUNZtGgRCxYsYN26dVy6dImuXbvq0Z4UHoYBjzxi7iv06aeW4uQMg0f+uz7bQ9aObK25hkRE8iDPfYjCwsLYtWsXlStXpnHjxkybNg1XV1c+++yzLLNX2yTAEiWsWoUyGYbBzJkzeeWVV3jooYcAmDdvHv7+/nzzzTc899xzxMfHM2vWLL766ivatWsHwNdff01QUBArVqygY8eONo9XxOZMJmjWDJYtg2tmgx/z4+4sVf9+ozMlnPP8d46ISLGX5/85X331VTIyMgCYPHkyx44d495772XZsmW8//77Ng/w0KFDBAYGEhoaymOPPcaRI0cAiIqKIiYmhg4dOljqurm50bJlSyIjIwHYunUrqampVnUCAwMJCwuz1MlJcnIyCQkJVi+RApORAdfMBs+wYZxYvZHlTa4uxPrjtqvLcUS81IL9kzopGRIRuUV5biG6tlWlcuXK7Nu3j/Pnz1O2bFmb91do3LgxX375JdWrV+f06dNMnjyZZs2asXfvXmJiYgDw9/e3Osbf359jx44BEBMTg6urK2XLls1SJ/P4nEyZMoWJEyfa8G5Ecik2Fvr0gZQUiIgAZ2dwcuLeRSeBk/h4uHL+8tXpLj7sVZ9q/p72i1dEpAiwyZ+TPj4++dJ5s3Pnzjz88MPUqVOHdu3asXSpeebdefPmWepcf13DMG4aS27qZK7Xlvk6ceLELd6FSB5duADr1sGGDbBzJwDxSVfXKLs2GQK4r06FgoxORKRIKlTt6x4eHtSpU4dDhw5Z+hVd39ITGxtraTUKCAggJSWFuLi4HOvkxM3NDS8vL6uXSIGoXh2+/RY2b4YGDQDYHHU+26pz+t2tkWQiIjZQqBKi5ORk9u/fT4UKFQgNDSUgIICIiAjL/pSUFFavXk2zZs0AaNiwIS4uLlZ1oqOj2bNnj6WOiN3FxJhHkB04cLXs/vuhdm3L5szf/8py2NuP1KX1nX4FEaGISJF3y0t3FIQRI0Zw//33U6lSJWJjY5k8eTIJCQn07dsXk8nE0KFDefPNN6lWrRrVqlXjzTffpFSpUvTq1QsAb29vnnnmGYYPH065cuXw8fFhxIgRlkdwIg5hyBDzHENnzsCff5pHlV1j8fZ/2POPuVN/oxAfvnu+qT2iFBEp0hw6ITp58iSPP/44Z8+epXz58jRp0oQNGzYQHBwMwMiRI0lKSuLFF18kLi6Oxo0b89tvv+HpebWD6YwZMyhRogQ9evQgKSmJtm3bMnfuXJydtZyBOIiZM+H8efjgA1IzDHaciKNBpbKYACcnE2//enV+r8kPhtktTBGRosxkZC5GJjeUkJCAt7c38fHx6k8kt+eff8wtQT16WBWnpWdQ9ZVfcjzs4QYVmd6jXn5HJyJSpOT289uhW4hEipwTJ8wdpS9cgEqVoEkTAOIup1D/9YgbHvr2I3ULIEARkeJJCZFIQapYEdq2hb/+gnLlLMU3S4aebFIJJyeNJhMRyS9KiETy28mT4OdnXpDVZOLo1Pc4EneF6r7lucMwrGacBtg1oQNe/65DdiU1HbcSThpaLyKSz5QQieSnZcvgySfhqadg+nT+uZBEq/9uybH6oTc643LN8hslXdT5X0SkICghEslPqakQFwdr11JvzE/EGzknOD3CK1olQyIiUnCUEInYmmFcnUvogQdg0SKq/QmpN0iGAr1LMvUhdZoWEbEXJUQitvTjj/DWW7BiBfw7H1bIBhe4Lhc6OvU+Dp+5REJSKvUrlc3mRCIiUpCUEInYSlISDB0KJ06wZcirvNWoJ5uPWq+j16pGeeY+1QiAKuVL2yFIERHJjhIiEVtxd4cFC4j79n88VrIladclQyuGtaSqn5IgERFHpB6cIrdj4UL44w8ADMMguVFjWvl2Is3Z+m+NWhW8lAyJiDgwtRCJ3Kr5881D6v39YdcuQt/dnG21HuEVea1rrQIOTkRE8kIJkcitevBBqFsX7r+fRUcTs+ye/5/GNK/qa4fAREQkr5QQieTFhg2W9ccoVQo2bQI3N8a8Zr0o6/MtqygZEhEpRNSHSCQ3DAOefRaaNoVvv71a7uYGwJXUDEvR0an3MbrznQUdoYiI3Aa1EInkhskEAQHg5GRem+xfIaOXWlV7vmWVgo5MRERsQAmRSE4MA1JSLK1AjBsH998Pd98NZE2GALUMiYgUUnpkJpKdS5egd2949FFzYgRQooQlGfq/Hf9kOWTaw1p6Q0SksFILkUh2Dh+G77+HtDTYvBkaNeLJLzay7u+zWap2rVuBV+6rSQVvdzsEKiIitqCESCQ79erBF19ASAg0asS5S8nZJkNPNqnE5O51Cj4+ERGxKT0yEwFISDCPIjt27GpZ795w7728tngPDSevyPYwJUMiIkWDWohEAJ57DhYsgAMHYPVqMJkwDIOHPolk+/ELVlWPTr2PI2cuUaaUq31iFRERm1NCJALw5puwfz9MmwYmEysPxPLU3KxLcWx/rT0AlbVSvYhIkaKESIqnCxfMs0x36GDeDg2F7dvBZKLplN+Jjr+S5ZB9kzpSylW/MiIiRZH+d5fi559/4J57ICYGNm40r0cGYDJlO7fQ4gHNuSuoTMHGKCIiBUoJkRQ/FSpArVqkA93eXcnegBNsGtuWj1b+bVXN1dmJv97obJ8YRUSkQJkMI3PWObmRhIQEvL29iY+Px8vLy97hSF7FxYGXFzg7A2CcPUvdN/7goptHttWDfNxZO7JNQUYoIiL5ILef3xp2L0VfZKR5XqE33rAUvbP1bI7JUJ+mwUqGRESKGSVEUvQdPgwnTphXqb9yhYtXUvlo5eEcqz+nBVpFRIodJURS9PXuDZ9/Dps2keHqRp0Jv1l2dQ4LsKq6eEBz7iijJThERIobdaqWomfNGpg6FX74AdzdOXzmEnvCO9MUFxqNXWZV9aNeDXByMtkpUBERcRRKiKRoSUqCxx6D6Gh46y0yxo2n7fTV2Vbd+mo7JUMiIgLokZkUNe7uMHcu9O3LmWcHUvm6FqFMvZsEU660W8HGJiIiDkstRFL4/fEHlC4NjRqZtzt0gA4duDubSRYBIke3IVD9hERE5BpKiKRw++EHePRRqFQJtm/neIYbLd5eyav31bSqNvWhOjzWqJKdghQREUeniRlzSRMzOqiEBGjQgNMNm9KyYneuuJTMUuW3l1pQ3d/TDsGJiIi9aWJGKboOHbr6tZcXGxcup3HoY9kmQwDV/LQyvYiI3JgSIik8DAPGjoU774Sl5v5BqekZ9Pz+YI6H9AwPwmTSSDIREbkx9SGSwsNkgsREyMiAdetI79yFd361ToYGtq7KsPbVMZkgLcPAxVk5v4iI3JwSInF8GRngZE5skt94ky/dq1Hv2cf54cfdLNxywlLt0BudrRIgF2e1DImISO4oIRLHlZoKY8ZATAx89RWYTNR4fSUQAp+ut6pa3b+0WoNEROSWOfQnyJQpU7j77rvx9PTEz8+P7t27c/Cg9SOSfv36YTKZrF5NmjSxqpOcnMygQYPw9fXFw8ODbt26cfLkyYK8FbkVu3bBzJkwfz5s3Ejk4bM5Vv3+uWYFF5eIiBQ5Dp0QrV69mgEDBrBhwwYiIiJIS0ujQ4cOXL582apep06diI6OtryWLbOenXjo0KEsWrSIBQsWsG7dOi5dukTXrl1JT08vyNuRvGrYkNR3pvPsg68QsvgcvT7fmG21o1Pvw7uUSwEHJyIiRYlDPzJbvny51facOXPw8/Nj69attGjRwlLu5uZGQEDA9YcDEB8fz6xZs/jqq69o164dAF9//TVBQUGsWLGCjh07ZntccnIyycnJlu2EhITbvR25meRkmDQJBg8mvbwfTiaoFlMVqle1qlbNrzTP3BNKYko6T98TaqdgRUSkKHHoFqLrxcfHA+Dj42NVvmrVKvz8/KhevTr9+/cnNjbWsm/r1q2kpqbSoUMHS1lgYCBhYWFERkbmeK0pU6bg7e1teQUFBdn4biSL/v3hzTdZ06QzVcYsJXRM9uuQ/fZSCx5rVEnJkIiI2IxDtxBdyzAMhg0bxj333ENYWJilvHPnzjz66KMEBwcTFRXFa6+9Rps2bdi6dStubm7ExMTg6upK2bJlrc7n7+9PTExMjtcbM2YMw4YNs2wnJCQoKcpHJ+MS6efalHmey5kT3s08xP4am8a2pYSzE54lS2heIRERsblCkxANHDiQXbt2sW7dOqvynj17Wr4OCwsjPDyc4OBgli5dykMPPZTj+QzDuOEHq5ubG25uWg09X125Art2sS2gGg99HAm+lWj13GekOlv3B9r0Slv8PLOfhVpERMQWCkVCNGjQIH766SfWrFlDxYoVb1i3QoUKBAcHc+jf5R0CAgJISUkhLi7OqpUoNjaWZs00Mik/JKWk4+7qnOP+UxeSeOfL1bz24XBKnTzGS71nQNlAAFKdXXi3Rz0OxFykZgVPHqx/4/dbRETEFhw6ITIMg0GDBrFo0SJWrVpFaOjN+4ycO3eOEydOUKFCBQAaNmyIi4sLERER9OjRA4Do6Gj27NnDtGnT8jX+4iQxJY3UdIN6E3/Lsu+ldtUZ2KYqzk4mthw9zyP/XY9zRjo9k0xUMZXA79J5jv2bEB14vRMlXXJOpkRERPKDQ692/+KLL/LNN9/wf//3f9SoUcNS7u3tjbu7O5cuXWLChAk8/PDDVKhQgaNHjzJ27FiOHz/O/v378fQ0r3D+wgsv8PPPPzN37lx8fHwYMWIE586dY+vWrTg75+7DV6vdZ+/E+UTunbYyV3Wb3VGKDf9cJgPzo0q/i+cAiPUsB0BptxLsmZj9qD8REZFbkdvPb4duIfrkk08AaNWqlVX5nDlz6NevH87OzuzevZsvv/ySCxcuUKFCBVq3bs3ChQstyRDAjBkzKFGiBD169CApKYm2bdsyd+7cXCdDkrPcJkNVzx5n/KypLKzbkdl3PwBcTYQeuzuIkZ3uxMfDNd/iFBERuRGHbiFyJGohyurjVX8zbXnWleYfuCuQ++sG8r+tJ9n9Tzz/XEjiye3LmPzbx/zjWZ42/f/LnxPvw7e0Oq2LiEj+KhItROK4zl9OyTYZApjZ8y5MJhPtavkD5r5gE/6vEtOuXOK7uu1JdnFTMiQiIg5FCZHkmWEYNHg9wrK9+uVWBJfzID4xldKZ8wTt3g3Tp8Pnn2NycWFi9zrcc7AvZ+OS6H+vJlQUERHHooRI8uTspWTCJ6+wKgsu5wFwdT2xK1egQwfzKvVVq8KrrwKwblQbktPScSuhvlsiIuJYCtXSHWJfl5LTsiRDi17MZi6nkiXhww+hSxd47jmrXUqGRETEEamFSHLtxfnbrLYnPVCb+pX+nexy+3ZwcYHMZVUefhgeeijLEhwiIiKOSAmR5EpGhsGav85Yto9Ove/qzqVLzclP5cqweTOULm0uVzIkIiKFhB6ZSa5M+nmf5eu910+e2KgR+PpCtWqQmlrAkYmIiNw+tRDJTf3fjn+YG3nUsu3hVgJiY8HPz1xQvjxs2AAVK6pVSERECiW1EMkNbTsex5AFOyzbHWv5wcyZEBwMq1dfrRgUpGRIREQKLSVEkiPDMHjo40irsv/2DoedO81D6xcutFNkIiIitqVHZpKjedc8JgM4OLmTedLFDz+EVq2gTx+7xCUiImJraiESK+kZBldS0wGY+PM+TEYGz278gSNJv12dQ8jDA/r21SMyEREpMtRCJBZp6RlUfeUXAL7oE45hQN2Yvxm7ag6sAnr2hGbZTMQoIiJSyCkhEovpEX9Zvv7Pl1sA2FWhOhdGvkKZKpWgaVN7hSYiIpKvlBAVY2cuJrP9eBw/74rmp52nADAZGfTbuoQfwtqSUNI8wWKZtybbM0wREZF8p4SomEpLz+DuN1ZkKX/j14/otfNXGp/Yw/Pdx7L/9c52iE5ERKRgqVN1MfX7gdhsy7+t1wnKlKHT6P4cnXof7q5ajFVERIo+tRAVQ8fPJfLcV1sBcMpIJzTuFIfLBdH/3lBGduoMl58GLy87RykiIlJwlBAVM0kp6bR4eyUAZZIS+GXdB1Q4etA82WLFiuZKSoZERKSY0SOzYqb9jKvLbSS6uBNAMiQnw969doxKRETEvtRCVMycOncJTE5gMvHXO93hcB1IS4MaNewdmoiIiN0oISoGVh6IJS3D4Nsf/mTBt6/xfZ12PPXF6+adVarYNzgREREHoISoCAsZvdRqu//GpTQ6uY/QuFOULzvVTlGJiIg4HiVERdT1yRDAF426E3DpHOHTXqW8u7sdohIREXFM6lRdBO35Jx6AO+JjGbNyNiYjAwDD5MQnDwykXutwe4YnIiLicNRCVMSkpGXQ9YN1uKal8v38kQRePEuf+8Nxf3WMvUMTERFxWGohKkIuJ6dR/VXzavUpJVz4qFVvaNQI9ycft3NkIiIijk0tREXIlj+2EHQhhhNlAgCYvPgdyMiAEnqbRUREbkQtREVEasQK6ndvy8eLp+Calsp/n2yAyclJyZCIiEguKCEqIu5d9A9pziVILuFK7dIGncIq2DskERGRQkPNB4XZ5cuku5eiythl4OVLj15TOVo2kL8nPGDvyERERAoVtRAVErEXrxAyeilPz90MwO63/8v58oF0f+o9S52/fSsxq38ze4UoIiJSaCkhKiQavfE7AH8ciCVk1M+c/OIrfJIS6LdtiaXO440q0bJ6eXuFKCIiUmjpkZmDu5Kazp2vLbcuNJkY1Xkw2wNrMOvu7gAserEZ9SuVLfgARUREigAlRA7KMAySUtOpNe5XAB7a8zsV42N5v7l5TqGEkqX5rPHDrBzRiqCy7pRwVmOfiIjIrVJC5KBCxyyzfF3v1EHeXToDgGFvvQjN1E9IRETElpQQOaDle6KttncG1iC2b3/8qgRB48Z2ikpERKToUkLkQKLOXqb1O6vAMLh//xpWVG1MkmtJAPzmfAomk30DFBERKaLU8cRBvLX8gDkZAl5ZOYsPlrzN55vmUMrVmYXPNlEyJCIiko+KVUL08ccfExoaSsmSJWnYsCFr1661d0gApGcYfLLqsGU7oloTkp1dqNeuMfsmdqRx5XJ2jE5ERKToKzYJ0cKFCxk6dCivvPIK27dv595776Vz584cP37c3qFRZcxS/C6es2wfqdmA+D0H8JzwmlqGRERECoDJMAzD3kEUhMaNG9OgQQM++eQTS1nNmjXp3r07U6ZMuenxCQkJeHt7Ex8fj5eXl83i2rH3GCcf6U34yb10eeoDtr3fy2bnFhERKe5y+/ldLFqIUlJS2Lp1Kx06dLAq79ChA5GRkdkek5ycTEJCgtUrP/SatZk7Y6MolxjP92Hp+XINERERubFiMcrs7NmzpKen4+/vb1Xu7+9PTExMtsdMmTKFiRMn5nts99YP4cX40ZRKTWbxs73z/XoiIiKSVbFIiDKZruuPYxhGlrJMY8aMYdiwYZbthIQEgoKCbB7Tp73DoXc4xeTJpYiIiEMqFgmRr68vzs7OWVqDYmNjs7QaZXJzc8PNza0gwgOyJmsiIiJScIpFHyJXV1caNmxIRESEVXlERATNtAyGiIhIsVcsWogAhg0bRu/evQkPD6dp06Z89tlnHD9+nOeff97eoYmIiIidFZuEqGfPnpw7d45JkyYRHR1NWFgYy5YtIzg42N6hiYiIiJ0Vm3mIbld+zUMkIiIi+UfzEImIiIjkkhIiERERKfaUEImIiEixp4RIREREij0lRCIiIlLsKSESERGRYk8JkYiIiBR7SohERESk2FNCJCIiIsVesVm643ZlTuidkJBg50hEREQktzI/t2+2MIcSoly6ePEiAEFBQXaORERERPLq4sWLeHt757hfa5nlUkZGBqdOncLT0xOTyWSz8yYkJBAUFMSJEyeK7BppRf0edX+FX1G/x6J+f1D071H3d+sMw+DixYsEBgbi5JRzTyG1EOWSk5MTFStWzLfze3l5Fckf8msV9XvU/RV+Rf0ei/r9QdG/R93frblRy1AmdaoWERGRYk8JkYiIiBR7SojszM3NjfHjx+Pm5mbvUPJNUb9H3V/hV9TvsajfHxT9e9T95T91qhYREZFiTy1EIiIiUuwpIRIREZFiTwmRiIiIFHtKiERERKTYU0JkZx9//DGhoaGULFmShg0bsnbtWnuHlMWUKVO4++678fT0xM/Pj+7du3Pw4EGrOv369cNkMlm9mjRpYlUnOTmZQYMG4evri4eHB926dePkyZNWdeLi4ujduzfe3t54e3vTu3dvLly4kK/3N2HChCyxBwQEWPYbhsGECRMIDAzE3d2dVq1asXfv3kJxb5lCQkKy3KPJZGLAgAFA4Xv/1qxZw/33309gYCAmk4nFixdb7S/I9+z48ePcf//9eHh44Ovry+DBg0lJScnXe0xNTWXUqFHUqVMHDw8PAgMD6dOnD6dOnbI6R6tWrbK8r4899phD3OPN3sOC/Jm0x/1l9/toMpl4++23LXUc+f3LzedCofs9NMRuFixYYLi4uBiff/65sW/fPmPIkCGGh4eHcezYMXuHZqVjx47GnDlzjD179hg7duww7rvvPqNSpUrGpUuXLHX69u1rdOrUyYiOjra8zp07Z3We559/3rjjjjuMiIgIY9u2bUbr1q2NevXqGWlpaZY6nTp1MsLCwozIyEgjMjLSCAsLM7p27Zqv9zd+/Hijdu3aVrHHxsZa9k+dOtXw9PQ0fvjhB2P37t1Gz549jQoVKhgJCQkOf2+ZYmNjre4vIiLCAIyVK1cahlH43r9ly5YZr7zyivHDDz8YgLFo0SKr/QX1nqWlpRlhYWFG69atjW3bthkRERFGYGCgMXDgwHy9xwsXLhjt2rUzFi5caBw4cMBYv3690bhxY6Nhw4ZW52jZsqXRv39/q/f1woULVnXsdY83ew8L6mfSXvd37X1FR0cbs2fPNkwmk3H48GFLHUd+/3LzuVDYfg+VENlRo0aNjOeff96q7M477zRGjx5tp4hyJzY21gCM1atXW8r69u1rPPDAAzkec+HCBcPFxcVYsGCBpeyff/4xnJycjOXLlxuGYRj79u0zAGPDhg2WOuvXrzcA48CBA7a/kX+NHz/eqFevXrb7MjIyjICAAGPq1KmWsitXrhje3t7Gf//7X8MwHPvecjJkyBCjSpUqRkZGhmEYhfv9u/7DpiDfs2XLlhlOTk7GP//8Y6nz7bffGm5ubkZ8fHy+3WN2Nm3aZABWf1C1bNnSGDJkSI7HOMo95pQQFcTPpL3u73oPPPCA0aZNG6uywvL+GUbWz4XC+HuoR2Z2kpKSwtatW+nQoYNVeYcOHYiMjLRTVLkTHx8PgI+Pj1X5qlWr8PPzo3r16vTv35/Y2FjLvq1bt5Kammp1v4GBgYSFhVnud/369Xh7e9O4cWNLnSZNmuDt7Z3v35NDhw4RGBhIaGgojz32GEeOHAEgKiqKmJgYq7jd3Nxo2bKlJSZHv7frpaSk8PXXX/P0009bLVRcmN+/axXke7Z+/XrCwsIIDAy01OnYsSPJycls3bo1X+/zevHx8ZhMJsqUKWNVPn/+fHx9falduzYjRozg4sWLln2Ofo8F8TPpCO/h6dOnWbp0Kc8880yWfYXl/bv+c6Ew/h5qcVc7OXv2LOnp6fj7+1uV+/v7ExMTY6eobs4wDIYNG8Y999xDWFiYpbxz5848+uijBAcHExUVxWuvvUabNm3YunUrbm5uxMTE4OrqStmyZa3Od+39xsTE4Ofnl+Wafn5++fo9ady4MV9++SXVq1fn9OnTTJ48mWbNmrF3717LdbN7n44dO2aJ21HvLTuLFy/mwoUL9OvXz1JWmN+/6xXkexYTE5PlOmXLlsXV1bVA7/nKlSuMHj2aXr16WS2M+cQTTxAaGkpAQAB79uxhzJgx7Ny5k4iICEv8jnqPBfUz6Qjv4bx58/D09OShhx6yKi8s7192nwuF8fdQCZGdXfsXOph/sK4vcyQDBw5k165drFu3zqq8Z8+elq/DwsIIDw8nODiYpUuXZvklv9b195vdvef396Rz586Wr+vUqUPTpk2pUqUK8+bNs3TivJX3yRHuLTuzZs2ic+fOVn9NFeb3LycF9Z7Z+55TU1N57LHHyMjI4OOPP7ba179/f8vXYWFhVKtWjfDwcLZt20aDBg0Ax73HgvyZtPd7OHv2bJ544glKlixpVV5Y3r+cPheyu7Yj/x7qkZmd+Pr64uzsnCV7jY2NzZLpOopBgwbx008/sXLlSipWrHjDuhUqVCA4OJhDhw4BEBAQQEpKCnFxcVb1rr3fgIAATp8+neVcZ86cKdDviYeHB3Xq1OHQoUOW0WY3ep8K070dO3aMFStW8J///OeG9Qrz+1eQ71lAQECW68TFxZGamlog95yamkqPHj2IiooiIiLCqnUoOw0aNMDFxcXqfXX0e8yUXz+T9r6/tWvXcvDgwZv+ToJjvn85fS4Uyt/DXPc2Eptr1KiR8cILL1iV1axZ0+E6VWdkZBgDBgwwAgMDjb/++itXx5w9e9Zwc3Mz5s2bZxjG1c5zCxcutNQ5depUtp3nNm7caKmzYcOGAu94fOXKFeOOO+4wJk6caOkY+NZbb1n2JycnZ9sxsDDc2/jx442AgAAjNTX1hvUK0/tHDp2qC+I9y+zMeerUKUudBQsWFEin6pSUFKN79+5G7dq1rUZF3sju3butOr46yj1md3/Xy6+fSXvfX9++fbOMDsyJI71/N/tcKIy/h0qI7Chz2P2sWbOMffv2GUOHDjU8PDyMo0eP2js0Ky+88ILh7e1trFq1ymr4Z2JiomEYhnHx4kVj+PDhRmRkpBEVFWWsXLnSaNq0qXHHHXdkGV5ZsWJFY8WKFca2bduMNm3aZDu8sm7dusb69euN9evXG3Xq1Mn3oenDhw83Vq1aZRw5csTYsGGD0bVrV8PT09PyPkydOtXw9vY2fvzxR2P37t3G448/nu3QUUe8t2ulp6cblSpVMkaNGmVVXhjfv4sXLxrbt283tm/fbgDGu+++a2zfvt0ywqqg3rPM4b5t27Y1tm3bZqxYscKoWLGiTYbd3+geU1NTjW7duhkVK1Y0duzYYfV7mZycbBiGYfz999/GxIkTjc2bNxtRUVHG0qVLjTvvvNOoX7++Q9zjje6vIH8m7XF/meLj441SpUoZn3zySZbjHf39u9nngmEUvt9DJUR29tFHHxnBwcGGq6ur0aBBA6uh7I4CyPY1Z84cwzAMIzEx0ejQoYNRvnx5w8XFxahUqZLRt29f4/jx41bnSUpKMgYOHGj4+PgY7u7uRteuXbPUOXfunPHEE08Ynp6ehqenp/HEE08YcXFx+Xp/mXNjuLi4GIGBgcZDDz1k7N2717I/IyPD0rLi5uZmtGjRwti9e3ehuLdr/frrrwZgHDx40Kq8ML5/K1euzPZnsm/fvoZhFOx7duzYMeO+++4z3N3dDR8fH2PgwIHGlStX8vUeo6Kicvy9zJxb6vjx40aLFi0MHx8fw9XV1ahSpYoxePDgLHP52Oseb3R/Bf0zWdD3l+nTTz813N3ds8wtZBiO//7d7HPBMArf76Hp3xsTERERKbbUqVpERESKPSVEIiIiUuwpIRIREZFiTwmRiIiIFHtKiERERKTYU0IkIiIixZ4SIhERESn2lBCJiIhIsaeESEQcxoQJE7jrrrvydIzJZGLx4sX5Es/tatWqFUOHDrV3GCKSC0qIRCRf5SUpGDFiBL///nv+BiQiko0S9g5ARMQwDNLT0yldujSlS5e2dzgOLT09HZPJhJOT/p4VsSX9RolIvunXrx+rV6/mvffew2QyYTKZOHr0KKtWrcJkMvHrr78SHh6Om5sba9euzfLIbPPmzbRv3x5fX1+8vb1p2bIl27Zty1MMrVq1YvDgwYwcORIfHx8CAgKYMGGCZf/Ro0cxmUzs2LHDUnbhwgVMJhOrVq0CsIq3fv36uLu706ZNG2JjY/nll1+oWbMmXl5ePP744yQmJlpdPy0tjYEDB1KmTBnKlSvHq6++yrVLSKakpDBy5EjuuOMOPDw8aNy4seW6AHPnzqVMmTL8/PPP1KpVCzc3N44dO5an74GI3JwSIhHJN++99x5Nmzalf//+REdHEx0dTVBQkGX/yJEjmTJlCvv376du3bpZjr948SJ9+/Zl7dq1bNiwgWrVqtGlSxcuXryYpzjmzZuHh4cHGzduZNq0aUyaNImIiIg838+ECRP48MMPiYyM5MSJE/To0YOZM2fyzTffsHTpUiIiIvjggw+yXLtEiRJs3LiR999/nxkzZvDFF19Y9j/11FP8+eefLFiwgF27dvHoo4/SqVMnDh06ZKmTmJjIlClT+OKLL9i7dy9+fn55jl1EbkyPzEQk33h7e+Pq6kqpUqUICAjIsn/SpEm0b98+x+PbtGljtf3pp59StmxZVq9eTdeuXXMdR926dRk/fjwA1apV48MPP+T333+/4bWzM3nyZJo3bw7AM888w5gxYzh8+DCVK1cG4JFHHmHlypWMGjXKckxQUBAzZszAZDJRo0YNdu/ezYwZM+jfvz+HDx/m22+/5eTJkwQGBgLmflTLly9nzpw5vPnmmwCkpqby8ccfU69evTzFKyK5pxYiEbGb8PDwG+6PjY3l+eefp3r16nh7e+Pt7c2lS5c4fvx4nq5zfetThQoViI2NzXO8157H39+fUqVKWZKhzLLrz9ukSRNMJpNlu2nTphw6dIj09HS2bduGYRhUr17d0n+qdOnSrF69msOHD1uOcXV1zbYFTURsRy1EImI3Hh4eN9zfr18/zpw5w8yZMwkODsbNzY2mTZuSkpKSp+u4uLhYbZtMJjIyMgAsnZOv7deTmpp60/OYTKYbnjc3MjIycHZ2ZuvWrTg7O1vtu7Zzubu7u1VSJSK2p4RIRPKVq6sr6enpt3Ts2rVr+fjjj+nSpQsAJ06c4OzZs7YMj/LlywMQHR1N/fr1Aaw6WN+uDRs2ZNmuVq0azs7O1K9fn/T0dGJjY7n33nttdk0RyTslRCKSr0JCQti4cSNHjx6ldOnS+Pj45PrYqlWr8tVXXxEeHk5CQgIvv/wy7u7uNo3P3d2dJk2aMHXqVEJCQjh79iyvvvqqzc5/4sQJhg0bxnPPPce2bdv44IMPmD59OgDVq1fniSeeoE+fPkyfPp369etz9uxZ/vjjD+rUqWNJBEUk/6kPkYjkqxEjRuDs7EytWrUoX758nvr/zJ49m7i4OOrXr0/v3r0ZPHhwvoywmj17NqmpqYSHhzNkyBAmT55ss3P36dOHpKQkGjVqxIABAxg0aBDPPvusZf+cOXPo06cPw4cPp0aNGnTr1o2NGzdajcYTkfxnMq59cC4iIiJSDKmFSERERIo9JUQiIiJS7CkhEhERkWJPCZGIiIgUe0qIREREpNhTQiQiIiLFnhIiERERKfaUEImIiEixp4RIREREij0lRCIiIlLsKSESERGRYu//AReaUQHYMh/SAAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "N = int(2e4) # Number of trials\n", "tot = 0 # track to the total earnings\n", "M_list = []\n", "total = []\n", "trial = []\n", "for i in range(N):\n", " # Roll the dice\n", " D1 = random.choice([1, 2, 3, 4, 5, 6])\n", " D2 = random.choice([1, 2, 3, 4, 5, 6])\n", "\n", " # Calculate the difference\n", " diff = abs(D1- D2)\n", "\n", " # Determine the payout\n", " if diff == 0:\n", " M = 3\n", " elif diff == 1 or diff == 2:\n", " M = 2\n", " else:\n", " M = 1\n", " M_list = M_list + [M] #Build the list of payouts\n", "\n", " # Calculate the profit\n", " profit = M - 1.75\n", "\n", " # Track the total earnings\n", " tot = tot + profit\n", " trial = trial + [i]\n", " total = total + [tot] # Build the list of earnings\n", "plt.plot(trial, total)\n", "plt.plot(trial, np.array(trial)*(11/6 - 1.75), 'r:') # Plot expected profit\n", "plt.xlabel(\"trial number\")\n", "plt.ylabel(\"accumulated profit\")\n", "plt.legend(['simulated profit', 'expected profit']);" ] }, { "cell_type": "markdown", "id": "1cf929fb-bf63-4e8a-ba71-be7cc0b9c0f6", "metadata": {}, "source": [ "We can calculate the average and standard deviation of $M$." ] }, { "cell_type": "code", "execution_count": 25, "id": "05f8801b-db26-4b70-9d7a-15090e728f9f", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The simulated mean was $1.8269 which is close to the expected value of 11/6 = $1.8333.\n", "The simulated average profit was $0.0769 which is close to the expected value of 11/6 = $0.0833.\n", "The simulated mean was $0.6854 which is close to the expected value of $0.6872.\n" ] } ], "source": [ "mu = np.average(M_list)\n", "sigma = np.std(M_list)\n", "print('The simulated mean was $' + '{0:.4f}'.format(mu) + ' which is close to the expected value of 11/6 = $1.8333.')\n", "print('The simulated average profit was $' + '{0:.4f}'.format(mu - 1.75) + ' which is close to the expected value of 11/6 = $0.0833.')\n", "print('The simulated mean was $' + '{0:.4f}'.format(sigma) + ' which is close to the expected value of $0.6872.')" ] }, { "cell_type": "markdown", "id": "45247e59-a9d2-4611-8f70-1b0229d9d3b4", "metadata": {}, "source": [ "Notice that the standard deviation is much larger than the average profit. We should expect, therefore, that, in some cases, players will initially lose money. Over the long term, however, everyone should be profitable. Below, we simulate $20$ different players playing $N = 200$ games. Some should, initially, lose money before crossing over to a postive profit. " ] }, { "cell_type": "code", "execution_count": 28, "id": "f9b9a3f0-34cd-4a88-a142-7fa16256d7bc", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for j in range(20):\n", " N = int(2e2)\n", " tot = 0\n", " M_list = []\n", " total = []\n", " trial = []\n", " for i in range(N):\n", " D1 = random.choice([1, 2, 3, 4, 5, 6])\n", " D2 = random.choice([1, 2, 3, 4, 5, 6])\n", " diff = abs(D1- D2)\n", " if diff == 0:\n", " M = 3\n", " elif diff == 1 or diff == 2:\n", " M = 2\n", " else:\n", " M = 1\n", " M_list = M_list + [M]\n", " profit = M - 1.75\n", " tot = tot + profit\n", " trial = trial + [i]\n", " total = total + [tot]\n", " plt.plot(trial, total)\n", "plt.plot([0,N],[0,0], 'k:')\n", "plt.xlabel(\"trial number\")\n", "plt.ylabel(\"accumulated profit\");" ] }, { "cell_type": "code", "execution_count": null, "id": "e13b8f33-8228-4f1e-8997-d44638d04b49", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.11.10" } }, "nbformat": 4, "nbformat_minor": 5 }