{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "1c4afd26-d597-42df-b922-21bfbc1d84fd",
   "metadata": {},
   "source": [
    "**Dane Sabo**\n",
    "\n",
    "*dane.sabo@pitt.edu*\n",
    "\n",
    "*October 7th, 2024*\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "af61cdf6-cb10-43e3-81b5-703acbc893a0",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import sympy as sm\n",
    "\n",
    "def answer_print(question,string):\n",
    "    print('\\n=========FINAL ANSWER=========')\n",
    "    print(question+':')\n",
    "    print(string)\n",
    "    print('=========FINAL ANSWER=========\\n')"
   ]
  },
  {
   "attachments": {
    "fa5194e0-f323-4031-97a2-1600c3bebce2.png": {
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L77qizl4J/MIy+urzZYpWNoVOpIpS7EjLHCLa71v3HSD6rjzbR39p1peboEuAgBSXAxCN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\nQ1n3rQzPinhjBam1euss9gGnIgE7Pe5VJyFOaBIodGRycSHnk57UMiE72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    }
   },
   "cell_type": "markdown",
   "id": "3de05cc7-1b79-49bf-8e24-6e4f517b89af",
   "metadata": {},
   "source": [
    "![Screenshot from 2024-10-07 10-38-27.png](attachment:fa5194e0-f323-4031-97a2-1600c3bebce2.png)"
   ]
  },
  {
   "attachments": {
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jEwa2E5fHTyzzgvjsAlQ1SvG9ymGpQrMzfSewpODyakRiSWIB9ekbgu44e3sm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\n"
    }
   },
   "cell_type": "markdown",
   "id": "15b718e2-5bcf-47f5-903f-6bd42a3fe40a",
   "metadata": {},
   "source": [
    "![Screenshot from 2024-10-07 10-38-57.png](attachment:0892e31c-50f2-40bf-a52f-4be4e53a0c14.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "275ae694-977a-41fa-a75c-c221f1b0d653",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "=========FINAL ANSWER=========\n",
      "Question 1:\n",
      "The reactivity insertion necessary is 0.000575 pcm.\n",
      "=========FINAL ANSWER=========\n",
      "\n"
     ]
    }
   ],
   "source": [
    "#Given information\n",
    "l_star = 1.51e-4 #s\n",
    "beta = np.array([0.00021, 0.00142, 0.00127, 0.00257, 0.00075, 0.00027]) #From 7.1 Slides\n",
    "t_half = np.array([55, 23, 6.2, 2.3, 0.61, 0.23]) #From 7.1 Slides\n",
    "\n",
    "#Find lambdas\n",
    "lambduh = 0.693/t_half\n",
    "\n",
    "#Find omega\n",
    "omega = 1/115 #Hz\n",
    "\n",
    "#Calculate Reactivity with Inhour Equation\n",
    "rho = omega*l_star + np.sum(omega*beta/(omega+lambduh))\n",
    "answer_print('Question 1',f\"The reactivity insertion necessary is {rho:.6f} pcm.\")"
   ]
  },
  {
   "attachments": {
    "bba6f504-8cdd-4399-b9ee-d12d85c508d7.png": {
     "image/png": 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X0SolKFMHjY4PaCV85kz7OQW6lokfNVn7ghrd9ThHAmEUAaIKda2qorVvmqqh\nIT3z4W0kr7urX0TxBS5lbfouIkTRWrZyUYSIWTwD5g73aa/PIhkoaQIunebWpG7hZDUxV5x8r+6r\nOHYn8KwdhL9XUPp0tsn5R8fo2G+AnAlTBZL37xDB9Vz9eRb3OuyGCWE2xWS+aUmWgFmwkTjuXn1I\nL8FIz+A1N5MdAhEm842F0+myT4iSAs2soGE1oOES0+ldbRvPmLn0mjhyQhjV+QwAyUTFADzrCO5U\nhr46Pice++azqoJgbRwKcWc1SDq0HDD1/bU4MelVAwWGkQXe2uhsVF6EIIgQRfElAGVt2sz6sXif\n/bizLe7Vv7eLZ3CFyZMSrvsCZbjpHmPOJ6i6BmHmw1nLghiFwc0mT3hcIJgiWDaGDFU3UbUsVHPA\nh2U7ff75lrEf3vdOEsAYe6gzOs4LhGyZ2qMzOj8/o1HvmMo5gQBQZn+0suyI9tKIE/F8wRKctwoE\nYEsSsysa7qXj99JlGm4k/5kn9dpI3jWaJ4q7Lvtmgqtz6hbTBGRo56BNveGQBt0WHezmKL1IqLRI\nuLSRLeuQchCo2LsjIxJd0WmrQALSlC8fU28wpEH3mHZzAiG9Q+2Vfb1fMr6P1CsKBCFPe+0BDQY9\navfihGxnx7k46d5a0S7a60niLmhQzhIgUG73kNq9IQ0HPWoflqmQEaiwWrittifjo48D2suCkCnS\nQXtAw2GP2vsFykCg3P7oOrFTgmR8yzYScrR72KXBcEC91h7l0yChcEw382fNk2FhPZHgKR3m4tfz\n6xnUbkvGt5FE7YoGuwIht5Kk7+yY8gJIyJXpsN2lbuuQ9ndzlN7aj7e5re8SfRyUKYM0FQ4HdHp+\nTmenQ2rv71AGIGCH2ov8UlcndJATSMiWqT08pbPTExq2D2gnGx+7tyfju6KT/SxByNN+74TOzs/o\ndNSlw2KWBKwlpbsa0l4GJGTL1OoNaNBrU3ee6PHh7ZX8uL3N1ekxFQQQMgXaa3VpMIyPrf1ijtKZ\nPVqs4WJel8Xu+eIVGuxmCEKeDpeJFOftLuRo96BF3d6Aet1j2itkCMjS3nAlHVmi/n1Kh7k05Yr7\n1OoOaDga0bDXonJOICF3QMvNnh5SDqBsuU2j0zM6HQ2otZef96HNZHy3JSk8axcpDVA6X6bj7oCG\nwwF1Wwe0m0+TsNujKyIa7WUoky/TQatHw9GIRsMuHe9mSRAKtJ7XbGt9D8txudK7NFitjt5u3Gc2\nxufkY995e4cEZKjYGtLp2SmdDNu0v5OJx/1PJuMjuugWKY00FQ56dHJ6RqejHh2X53WYZDy9GFA5\nG/ej/VYv7rPtQyrnM3Ei2Isu7QiglNn31wAAIABJREFUTLFFw9NzOj87ocG8TwMC7a6cCJPuR5K2\nSNq/b3UaJ+rMFA+pOxhQr9ul4Xlch0mPvc8rw2eMObedd4nmYx4I6QLtHbep227R4V6RskLcHsWV\nDIdJjour3i6lMwUqH7apNxzRaDSg7sHOfMxYDLS3n28Z+6fgQJ+xH9n5kA6LOUoLIAhpyhbKdNg7\njrMmf4NAf/GF90YgNfexVyQBIGEjmzHR5wX6RHR1TsPjMhWy6fjLhpChfHGfWvE3oi8Q6BMRXdFZ\n74CK+Uy8H+kM5XcPaXB287P3C/SJ6HxABzvZZZvl9gb0ke4T6BMRfaST9j4V89fryeQKVNxv0fD8\nrn27JdAnIroYUatcoGxaIECgdG6H9tonN9svUaBPRFfnNDjcpfy8jYRMjor73a2Z6uNs1jla/8GA\n08McAVnaSJr8OYE+EV2Mjqk8b1eks1TYa1HvsHBLtut1nwrePtJpO77gAoDSmTwV99vU3c/fDPSJ\niC6GdLibo4wQ99/czj6123uUuyvr/tUZ9fZ3KDsPWDK5Hdpr9ehwS/b5j6NjKubm9Z/O0u48aH54\ne31+oB9vakDH5R3KZQQSIJCQyVJ+p0yH3bivXZ21qJAGZcqDm9m7P45oPwtCpkyDC6Jlu2d3qLyb\nn9dlPA62Rht5vxP074902j2g8k6OMum4DYVMjnb2WnRzdVd01tunnWw6Xk82T7uHXert5+4V6MdF\natFeMT/fnkDpbI4KuwfUnm/w4qRN+7sFys77FNIZyhX3qX1yZ0ed71KPigIovTvYzKIv3DY+Jxv7\niC5oeFCk3LzsmXx8EeWwcHegT3RFp909KizrsEDlwx4dF+8xnl6MqLUX96PrtjpelvPj6Jh2l/uQ\npcLuAXXbZcquBfpJ9yNpW9zVvz8tHkPyy33aodZpXIf3OfYeXobPGHM+FegTLb+vLI7T3M4+tbv7\nlINA5bWfArjruKDzIR3vFZfjFYQ0ZfO7dNC7+Us7t51vGfunSBERfY+ZBIwxxtjfQwSvpuJnt4ST\nqbUlySH7ewrQMf6NF1EL53797l9lYIz9rYROBcrTCY7OxzfymjDGvgxOxscYY+wfZIxOrYOpokFV\nJIiIMHU7sH4PsdOuc5DPGGNfgW9VYAc6NFWGJALh2EGn8wfE3QG2/WomY+zzcaDPGGPsH0SEGI7R\nt/oIPlxiJqSRVQ1Ueh00+dsmY4x9HVEIv9+EHXzAbCYgndVg1gZwjkpf5+dOGWPgqfuMMcYYY4wx\nxtgjwj+vxxhjjDHGGGOMPSIc6DPGGGOMMcYYY48IB/qMMcYYY4wxxtgjwoE+Y4wxxhhjjDH2iHCg\nzxi7t0lTRUo00Y/uWDDowEilIFacB2xDQyplwg4fVsZEnBLEVAqGHXyNlaMipqDU/S+4zgBeswRN\nFpFKpSBKBjpTAKEPq6JDkUSkUiIkrYHxF9xq6NtoNvsY39Xey2Jub/epU4epyhBTKaREGaX+5zZu\ngI6RQkq3MP3MNX0piY+NzxTYBlIpHdb0rgUffgzebgqn2UTH3XLcfNVj6gsKXDQrBjRFmvdHCYpe\nQdO7X7knHRNSSoJhjbFocr+uIJUybhm7xmioKaSMDr59DYUY9xuoGirkxVghazCqTTiTzQ7rViWk\nUqlb/hL0vcTF8lBTRYhKFc56pUQTOM0qTE2BJMbtJKsGKo0+xg8YPqJJB6acgmR27jFm/P3Gmbv5\nqMkpSFX3exeEMfYd8c/rMca+HklH9fAQuqZ+75Jsp1ZQP1ShatL3LkkigV2F+XIM/bCDgSEDYQRF\niuDWSvjFVbDf7KOkAGEof9GfKwp9Cy9fSpBrFWhigg9sa/dJE6XKrwjNY9hNDRJCQE2yMvZZvsox\nOEH/6CX8moGaudbTfpRjKvDQ9wG1coS6JgPhGI5l4eXPPqajCTrG3X0zGjdQqf8F+eAEbl3D37s3\nT9GvGHj2R4BMoYJqswFNAoKxi779Ek/7Nvb6HuzSWnsKBex3atDXVyfK0L/IIBOgX63gt8BAd2zj\nxuYDFzWjhN/eiciXqziq65ARYur10bGe4b/9PrpuH9V7jCOiWoPjTqHrdZSaOvzG373dGGPs4TjQ\nZ4x9PaKGalP73qW4nVpBs1n53qVIbOz6mOVqsJpVXNeqj7r/AZlSH52a8f0Kt2pLu4e+h7ezAtqd\nBir8o8nfzrc+Bn+UY0o7gj8VV4K8CqqmDP0/v6Bve+gY5h0rmKBTs/BWOcBJU//bB4sTq4LqHwEK\nhx7cpo7lZZhKFfVGDXXDxK+VCvSJh5qy+kkFZrWK0lcqV+g2UP8zQrFro3pju/MLAO8U7A89dFYv\nKFVrqNebMIyXqFWOoI2buE8PF7Uj2HUX+lENnYqPunLnRxhj7IfEU/cZYw8WThw0ShpkUURKlKFV\nLHg3plNun74e+h3UDBWyeN8psxEm/TpMTYYkpiBKCrRSA850fdpphKnbREVXlssZlSqM9amMfg1y\nSkJlbXbj1G2iYqiQRRGiJEPVTdQsbz7VNoBTM6ApcRkW01/NWudBU0nXt7mYnqpoJTScyXw6cIi+\nKeLJH5fAu1f473z6rFz7/1GVfsKv74EPv/88n1IrorScpR3C79RgqDJEMZ4ur5o12BsFDeB3qjBU\nGZIoQpQVaGYVTXeKSVPFf355C+A1nv9rMW1XRu2TTyTcbPeppeNfz/8C8AYv/j1fh9bE5BNrmNgV\n6Koyn2K8aOs6+lumGG+0t6zCbLhr02zD5T6KqRRESYaimahaHsKV9STpX4vp+fbEg1U14kcmRA3N\nlR26+9hYlClB+4Q+OjUD6ny6tayZqPen6yu7xZZj0Iv7fanjwqoaUOXFeiuw/Ls6sYOS+AR/zID3\nv/50PZXbsON63HJMRVMHjdL80RJRhKyo0Et19FfqK1gec4vp2Xp8TM2r3q8rSIkVrE9E3v6IT5J6\nFTeDc0mGJABI8NhF5DXRfCOi3DyC/tlRfpK+CUSTlXpMiZAUHZXmej/fxoPVfINZro7OapC/IBlo\ndmrIzl6jad3/UaO72u52U9hHfXzIN2BV167+TWwc/XWJzH4H1vqsEQCi1oDdyGP2tgPLvd5QsrKI\n0I6aqEhv0Gx6SZp7LsE441swdRWKLC0fUVL0Chru9OaqwjHsuglNliCmREiyAs3YXO7T54WVcjkN\nlLRF/1GgV5rw7/H4UJJz8qSpIpUy0HRt1M3F2CZBNRvY9hQPY+z740CfMfYws7/wQq/BEw00mk0c\nV1WEzi8wTeuTAVzk12EYL+DAxFF/iGHfQkX2cfSzjsrGA5o3TSwD+jMbgdZAxxnC6dSgTiw81Uqw\np9fLTe0S9CdH8KUSjjo92FYdOiaYfLh7t6a2Ce3JEXyxhKO+A8duoqqGcI46iL8CRwgjCXqlAas/\nwGBgw6prCPovYFTsBz13O7VL0Es2IrOBvnuCE9dGQw/QeWrM60SCabk43hGATBnt0Qij0QmcRhlH\nbhu7aUAoHmM0GmF04qFpAEAAt6rBaE6h1TtwvROMnCZKcPDcKMXP9iNezqno+OmFCxhH6PQd9Jt1\n6JGHZtODVOmjt5cDkMfBYDTfhoPGPW6hyZUOBgd5ADns9+J1nNhVKJ/4TBQCilHDUaePwWAAu1mB\nMungmVGDux6LvnkJs9JHpNdwZLVQ0wHv1ROYdX/5hXjSNGC88CCWmugPR3DsJmo64NvOsr8m7V8A\ngJmHum7CmiooNY5wXK9gOVs90bGRsH0iH3XdwAs7gFqz0O3ZOKqoiKafm9/gEn++qMKRKrAcH6cj\nGyU4+KVUg/PJVRtousfYEYDMbjvuD6MRTjrmZgAJAKGDqv4UnamKesfByHVgNUwogQN7flEh8uvQ\nnxxhLFdhOSOMnA6OSioi18Z6fHS3pP1+XYSJ3YE3y8CsbExU31jWsx18yFRQK33+IwpJ+mY0sWDq\nVbhSBc2+h5MTF3ZdxeToCYzaHcHq2IX3AciVKrfe+Rb1Csws8N7z1y4cRAiDAMHqXxgut/dZbTd1\n0H8D7NSqWH+wJPBcvEMaZsW4dbaEWqogj0t47vj+ZRFN1EoZfHBsJL60kWCciaIAUEzUjjroDwYY\n2EcoST5ePTFxfa1tCrti4Hk/gnFkwxk5sJt1GNIEfft6hLj7vHC9nPb0FXyphGa3B9tqwBBDBJfJ\ndut+5+TXeFnpIDSP4Pg+Tvo1yP4rlKoPO/cxxr4yYoyxezo7zhFQoOOzq5uvtwoEZGj/ZPHKgMoC\nKHuweOGcWgWBkDug0xsfPaf2jkDIHtBiybPjPAFF6n6cv/CxR7tpUGZvSB9XPzp/PV0e0hUR0dWQ\nyhlQutilixulO6H9DCi9N1x5aZ8ySFN58dLHQbyu3d7aZ4muzs9vbnfN6WGOIOxSb7lf6/t+i48D\nKqfTVOytb/GCujsCYae9LMugfLOObt0vIro62aesUKDW+fqODKicBuUOz+J/jvYpA4EKmwvSxXm8\n5fNWnoCd67a40+a+X3R3CNhSnvsYxe21N1quldo7IOQO6ORG2S6oWxQI6TINrojifgdCoUUbm7+6\nivtN0v5Fi/6fo73hOV2trS7psZG0fc5aeQKytD+6WfnJ63NLP5zX4+7g5jqvhmVKI01rXWmL4e19\ne/2YGu7dss4ruppX0elBloAi9Tb619Wyfk8OsgShTOurWR8nktbrzffOaXi4QxkIlD8YffI4n5eY\nDnM3+8Sqk4PsJ46X+LPXx3WCvjkfCzb6Js33X9id9/NbDPcoDVDxkwfwBbULIGT2abT8WJoAbPnL\n0P58oSRtd5ur3i4JyNPxliaJ17v9vZUV0K4AEnYHdPWAssT9/Y5tEFHycebT5cwdnsb//tijogDK\nHpxuLro4KJKeF+bnO2GnvdZ/tp8XNt3nnJwjYIfaa0WKj81t9c4Y+974jj5j7GEECYpy816LapaQ\nxweM/en2z4Qe3PEMuVJ1LambglJFB9578G6bDuA78C7TMCtrdw6lEqqGgEvPiTPN+314HwSYtcr9\nE9IttlErbXxWVJTldqPAg92oXk/RFEX899U7YBYivO+NVt+Be3mJv579ey2r9b/x/PUMmE4edKdk\n4rh4P3uDX/6zli37f5/ij0sgCKbL5T4IBmo3H5AFIEJWvuPD9NEUbqeOiqlDVeaPFPz8Gz4g2qxj\nSYF8o1PIMEs6cDmGP4n/raoZ4E0T1XoHjjfG8oa4OJ/CnbR/LQgKTEPZfrcxwbGRrH0CeP23QK6C\nuvHlk9tJ4s11irICGRHC8Av+ZICqQRUu0a9X0LRd+JNgfvdThDivIkXXkIaHRqUB2/ExCZaNc+9n\n35P2+6XQQVVV8cSOUOqN4VvG9pkJNwSYTgFFu6X97yVB3ww99P0ZPvz+BP9ay37/fy/fArMA0y94\nO/XGPgk7OBwOMVz9G/VRn08N+Jy2m06nmAkqNGXzvYf0wPuWRVQ0KJhiMk24gTvHGQAIMXEs1EoG\nNFWGLIkQ//cZ/pwB4WLgkuJ9fm/XULX6cMdTLA45cXFQJD0v+E58vqt/eobUre57ThZESGsHiKzI\nDzv3Mca+Ok7Gxxj7ciQJEoAwuuVrWhginAGSvPlVWpIlCJjithnJYRgiggRpI/YU4/WFIQIAURAi\nhAxZvv9X8DAMEEH69GcnHZj6C7wWC9ir1lE1VCiShLBfxZNf773J+Taz2Bu4aGxJjC6KD8ugHwQh\nkN5F129uZsxGnHsAAIIwBEQZW5rk+4l8NHQDryYydqo1NKoaFEWGNLVQetZPtIq4P03mXz5FmJaL\nrlhH036Bp/N2SueKqFkdNE0lcf96sLVjI1n7TOLjQVG/6K8o3Gre7b/oLwMqdThOhFrDwtHzPzAD\nACGDQuUIHasGTQKkig03qKNudfD86SvEi+Rh1i3YjSSB97Wk/X4pnGLyHtgdeOiUEo4ZUTx1XVqP\neBZbmQdr24fBKH59EcQn6JsIA4QzIH8wQr+2pSeIEmTlE+WV4zFkOpkCt07en2ISYEtfk6GbJm5L\nTfg5bReFESBJyws+qxRVvi7TbT8YMZ1iOosDTRGAeN+ySBIkRPNj8mGXbG6OMyHcmoYnvwXIFWuo\nNepQFRmyNMaR8WLlEQENR84AUf0I/cYz/D4DgDSyOxU0OxYqqpj4vBAFAULIUB5wvgPwWefk67KI\nAKIvO24wxr4IDvQZY19OMEUAAfJtUaMkQRKAyZZvDmEQYgYJyq0flSAiRBisfymL4i/3kgQZgCiJ\nAEI85KbkYhvBxjau+dYRXkcFtMY3szVP/Qd+UZQkiAgQRDJU9ctF25IkAZcBQlGFqtyxXBQgCIF7\nRVRfUeRasN6K2O35cFZT9IvJCxgGAWaQsZyUIGmodjxUOxHC6QRj30On2cCrUhXK1EMtYf96sLVj\nI1n7SJBFAOHf8Eu0eFsgu0k2G3DMBhAFmIzH8PtNNH59AVNUMe0YECFBr9vw60AUTjHxfbidBo5e\nllBVp3BWnoO/a5NJ+/31fkiQcwoU6R7H7zxIv+2CZjwTZn6Xfb3TRPHraUO+PtwS9E1JAPwwgqKq\n9w9JVRNG5hV+c/qYNLXtcbPfh/MeyFWMe94ZTt5260RJXF40WSfrBnJ4Ba/vITK2P6c/dR28RQZ7\n5uLixT3LEoYIIULZdqUhoRvjTOCgab9HZm+IsW2ulDncGFpFtQTLLcFCiGAyhu/10Wz8hmcVBdq4\nATXpeUESISJ60Pku/vzDz8mMsb8/nrrPGPtCIvi2g3eChopxS0gkGTA1Ae9dey0j8BR92weyBozb\n7t7oJRjpS7i2eyMTNQIHtjdD2ijF96pUAxou4Tn+zS+QUYg7bkwAmglduITbcTbv3gYBQsy/3Isq\n1LVdjJJGPev0Eoz0DF6zuSVLdYRJ4nmlN2klAxm8gdX0Nvc7mmIyzySvmQbSMw/2lizu4Xzqa3zH\nJkTwjbItRVF81UFZe3QgeR1P0LfHQM6EqQJAiOB6PjQkRYNRqcNumBBm86m7SfvXw/Zo49hI1j4K\nND0DTFxsJMP/rpF/PO0+CrcHaTcEUwSLhcT4FyyqloVqDvgwnSICEM7/CyD+pQOzgobVgIZLTOft\nJskSMAs2+mC0FuEk7fdLchXOZALLSLLfCwoUBZiOtz9nJBsmcniHfmezDEG/A28mwDAX8w0S9E3J\nQEkTcOk0N5NCAggndzzeIxqo1/MQ3lmoNv3Negl91GsdvE8X0ajfr5cnabvbKIoC4fKWqfNaHY1i\nGu/tGuqbP1eBaGyhevQGQqGBhik+qCzRZIwplGQXhLZaG2eiENEMULS1izHR2oW6aPVRCwmyaqBU\n66BZSgPTcZwMMel5QTOgCR/gu+ONZRL5nHMyY+zv73snCWCM/XjipDxpypcPqNXt0aDXpeO9PKUh\nUP7wZCXx0WYisKuTA8oJoHRhn1q9IQ0HXTosZklAhsqDi5VtrCXjoys6bRVIQJry5WPqDYY06B7T\nbk4gpHeofb5Y7iMNyhkCMrSz36Jut03HB2XayQoE3JGMj67o9LhAAgTK7R5SdxCXr7VfpGy6TAMi\n+jgoUwZpKhwO6PT8nM5Oh9Te36EMsJaoKGEyPiI6axcpDVA6X6bj7oCGwwF1Wwe0m0+TsNtb1ud9\nkvERXdCgnCXM96XdG9Jw0KP2YZkKGYEKywo7p24xHdfXQZt6wyENui062M1RutiNk3+dHlAWoEzx\nkLqDAfW6XRqe0yd8ZjK+iy7tCKBMsUXD03M6PzuhQWuP8mkQINDu4Hof2zsgCDkqHhxTtzegXrdF\n+zuZOIHdcNF5Tukwl6ZccZ9a3QENRyMa9lpUzgkk5A7oJM7imLB/zfu/UFxJvLj2XqJjI2H7nLWo\nIIAyxWManJzR2emQuoe7lBPw2cn4NrrM2SHlIFBx247d8JF6RYEg5GmvPaDBoEft3mm8b2vH1FVv\nl9KZApUP29Qbjmg0GlD3YIcySFOxGx8so70MZfJlOmj1aDga0WjYpePdLAlCgVqLRGmnh5QDKFtu\n0+j0jE5HA2rt5SkNrI0TSfv93PmADsplOhyuJz37lKs4Ud3GsXhdP8P93HwciftBr9um4714nEgX\nWnSd/y1J3yS6Oj2mggBCpkB7rS4NhnH/3C/mKJ3ZWybQu9059cpZEiBQdmePjts96vV61D7co0JG\nIAg52l+rg+FemiDE495tErXdrUVqUQHCsh9suBjSfk4gIEOF8iG1uz3q9dp0vF+krABCtky984eW\n5YpGexlCZo9Gd3X3xOPMGR3nBUK2TO3RGZ2fn9God0zlXHzuySwyGJ63qJDO0s7eMXUHQxqNhjRo\n71MhDcqUrxMuJjsvfKThXiY+FrsjOj07pZNBi/YKmc3z3S2Sn5O3j3sX7S+QaJUx9lVwoM8Yu7f4\nhJ+n8v4u5TMCAQKlswXaa5+sZYXeHux+PGnT3k6OMgIIQpqyhTIdr33J3Az0iYiu6Kx3QMV8hgSA\nhHSG8ruHNFjLcE5XZ9Tb36FsOi5bJlekg16b9jKgzP5KWTYC/cU2Dmk3n6X0onz5XTpon8yzZH+k\n03YcNACgdCZPxf02dffzDw70iYguRi3aK+Ypk17UZ44KuwfUHl3Xy/0C/bisJ+19Kq7sSyZXoOJ+\ni4bnK3V2dU7D4zIVsmkSAIKQoXxxn1rLaD7e5/x8n4XMDrU2E0av+Pys+x9Hx7S7bOcsFXYPqNsu\nU3ZboJ/bpf1y4bq982U6Hq32p4902j2g8k5uXr8gIZOjnb0W3VgsYf+6M9BPdGzE5UrSPh9PWlRe\nrYu9FnUPCt8x0Kc4QN65LndubxDv3/oxdT6k470i5Zd9a3489c6WFz0uTtq0v1ug7Lx/IZ2hXHGf\n2jdSnF/RWW+fdrLpeZ3mafewS7393JZxImG/J1peQMjfM0q5Gu1RBhnauzVK/Egn3ZUyQKBMrkDl\nwwHd7E5J+ybR1fmAjss7lMsIJEAgIZOl/E6ZDrvb+tb2Mp31Dm9sCwAJ+X0arNcLJQv0k7XdbeKM\n78K2XxxYuDqnYWtvpR7jv1y5S6drm7hXWT7Gv8KQ2R/d+esAyccZIjof0mExd33uKJTpsHcc/6LH\nItC/OqPB4R7trPSNdLZA5eMhrTdDkvMCXZ1R72CHcsty7dJBt0W7ibLuz6sj0TmZA33GfjQpIqLv\nMZOAMca+qaADQ6lD7ARwq/zQIWPsc0xg6RoaaGLs12/NF/f3NkZd+S9+Vdq48GrfJuHjmtCtQn3i\nwhxOYJsJxuWpBf0/vyA8PMWk+dCHaSKMGxr+a0loTW7mWmGMsceEA33G2KMTug3UXUBTVciSiCgc\nw7Es/BlVMZp0YHz+b2Ixxv7honEDum5BPPLhNbQv8FN7355fV/HTrwEKew1UDQnRJIRSa6CkfKsS\nBOiXNDzzDQzGfZTuvNoQX2D5ZaygfFSHKUeYTCRUm9XEF1tCvw7d6EA88uH/oO3GGGNJcKDPGHt0\nQreBUr2P8TTA5QwQMgp0s4ajZh235QlkjLH7mnQM6C8m0LsenOoDMuJ/b9EU/UYVR7aPd5czCJkd\nWJ6H2recohB6qOkmbLEG17Ng3HVjP3DRqNZhe+/wYSYgk6/DGW/7OcVN0bgJ03iJsd7G2K097Lfn\nGWPsB8GBPmOMMcYYY4wx9ojwz+sxxhhjjDHGGGOPCAf6jDHGGGOMMcbYI8KBPmOMMcYYY4wx9ohw\noM8YY4wxxhhjjD0iHOgzxj5P5KAkiig50W0LYOLUUdJkSGIKoqRAKzXgTm9ZPpzAaVZhagokUURK\nlKCoGoxKAx1visWn3KqEVCp1y58OawoAPurK2nuiBEUzUev4CNe3PXXRrJVgaApkKd62rJmo2ePN\nZe+7X3dyUBJv25/VPxlVL/n6lMb4juVC2EYKKc3C9IEl3yrwYFUNqLKIVEqEpOioNF0krZ7A66Be\nMaCpcf2mRBmqUYXlBZ9XrqkFPZWC1px8erloCqduQluUXzVQs8e4rfjb+qMoydDMKix3enPfnAqU\nlAi9efv6GGOMMcY+x/987wIwxn5cUTiG8//Yu1/gtrG18eNfz/xmpEXWRdaLrBdZL7IuihdFi6JF\n0aKoKC6Ki+JF8TKzeFG8KF4ULYoXWYuii+KieFFcFBdFRVVRVRQFnR9wksaO0/xpu7vtfT4znjt1\n9Of88519dM551GoRn4N3yzFpP8B9EmOsNum2a+jpiLDzM9+7KQfjEO/aq5TycQ/fe8Z/sjLLQYNO\n08LQc9JRTBR1efZ7yPgopXf5HiVtiY1e4+ZrlXST2vXX6FXW2ev4GECeTRiGXX595jKcDBl3a1ev\nxMqGXdr9BNcPaDVtjDydHvu0xjgbM2q+f+fUQ+p1PzWa4R7+tchv1H3Kr5MlNnsNnKu6Gdh/5auv\nHiPt4ztPiPUVGu0+XTMnGfbotL+nNtpnHAXc9ZbDca9FOHbw/RYN20DPRvS7IT96I5LhmG7tc77I\nLCNuuPwQmWzHCSMHRm0f76lHZk7o39a52hKbYQtXB8jJ0hH9To8fvx+RHk/oXHSi6fcZ7ro4z3ya\ntQk994t7KZsQQggh/umUEEI82Fu1t6Ip4OKjqdXB2YLjjtVmGaUt7ajTma+3VAVUdefk/Xdnh2qj\njKK4onZPFl3rrTra3VS7x9N/HawXFdqaGnywnEdqs4xieU+9nfn+RG1XmZ5//VavT9TpjVsfq60K\nivKGOnpMvR7tTA1WNUVxXR0+6vyBWtVQ5a3jO457q/aWUVTn6vJoZ+pwo6TQltTO3AVf762oIiW1\nfriof+eOPTmZ6zOl1OmOWtJQxbWBuvsKtzjdUUugqtsf6qMDtV5EaavX7vN6Ty2DqtzSnreNx7PD\nDVUCtTTfGOpU7S4XFZUtdVcPCSGEEEI8lCzdF0I8gkHQTzg9PeV0sE7ptsMmMcNX4AQ+1vXvnQC/\nAi+iIZcLsdN+h/CVxko3pGEvmuE0qDW6NJwFf3owG8cuwnlGdn3ttGlj3bi1jWNrkGbvl+8/oF6f\nXkrUcHGsiyXtBR3DdPAaPcaxY0IUAAAgAElEQVQ39xdAnjLs1XEtA/1yCXp/cveS8WxM2PRwTAO9\nUEA3bdx6l9GdFUsZj96A5eJas38xgzqu9oa4P7qzlqZtc2Pe3HKwDXiXZp95ybuJYcD5ZMTk4kZ5\nMiahiF2zHnQlnRzQMMz52lg0unUqL3u0o0UdJ4QQQgjxeBLoCyEeRTdMLMvCMg1uXXicjJmgYVrz\nC7UtbAuYjJnulM4ZRUPONZe6f9ei7utysjQlvf7J7hMEThhP3kHZxr5zif2Y0fgcbOd9UH/ven0O\nOVluUAtadPsDBoOQbtMh7T/DDcIbDxhe/fI9fjfFbrTp7jTx9DG/PnFpxB8ILvMRTbdGa2TR6EUM\nj46IunWMYQvXa/HhXf86ugGkKel8R+gWpgFvkmRBzoN7mIwYv4Gys+AhwCfl0OquU05+xvNa9Ptd\ngiBEXw/p+gZ5OmEySReMs5w8y8iyjCxLSUYhjWZEvtyh4y8osdOgXn1HHMaPaw8hhBBCiFvIHn0h\nxGeTZRmgY+jzjwJ0DF2Dq6A8JUnPpzPqD4ngzv/g6f/8MfdliY3DlJ57/bucLM/RycnSCXG7QftF\nidX91s39/cyeN+k26b0qstqpc7k1/v71+hws6mFEfea7ACcb8e9uxDCvE1wrVmltwKTvXwXGjbqL\nbn9Pv9On4zUW7pWfdBv08gajURfn8lq1Gp6VYn0b0ht25tr3OhMvWEZ73qcROISdAMfSydOEcdxj\nlAE5j2ifhLDZ4YW2xE7zw732KZhem7YX04i7PHkO1e0R45aDDgxbNb7rexzk/dncFOd/8ORf/5q7\nUpmVTWNa4QWrRVy3zHl/yJgA9/NVRwghhBD/ZSTQF0J8fp8r15i2zFbUmg2QdB1rfnn/82f87zfP\n3v+7tMzWQUTH+/DqgaRfx/txjLke0QsWHPs35VDL0yH9bkh/OGKSpKRZzvn5OWCSZXA9etcta3b2\n23Dxaxq/DUeMaSxIopgQRy84f/mCf3/zy4K7ayTpwqj1itWIiLM6zc6PfPd/P158W6S64pCfg2bo\nD5yRT4kbHo3/6Kzu92laDzr5ESb0vBqtvMUoDZg0XOptn7o1pB9Y04cUhnGzDtoy23H7/cOjPCOZ\nRPTaT6nFI+JRD3fuJNux4ZeENIPPvExBCCGEEP9FJNAXQnw2hmEwXc48HxjmZPk5GJfL/k1MU4Px\nhCSD2r0DHpOa592a8f9KdZODXoBBxrAV8NMoJdc/dJOcJAxwn8bo633i0JuZ+b5/vT6DSQ+v9ozn\n+hLr9SZ118YyDLJ+ne8XxeU36NP94nlGvjBez0hSYHmH4563oB46xs1EBnMM3FbEuJWRTBLSXMe0\nbKysS+1/n2PZ9gPaZ5qTIPg1w9ubBtqfW9Zv0XquExy2cAxw+iOMhov/pIafR/hpjua4Vys83jOx\nXXf2wZPn41s51g8h7ajNsD77wEg3dDTmckUIIYQQQnwkCfSFEJ+P5WDzO0mSwkzauoRJcvl3AB3X\nq6H9MaTXTwkaD9mnfw+GQ61WwwBqUURS8/jF97FH8YLEfxnjboD34whrKybuuIuTwt2rXp/eqNvm\neb7Ezng0M7OdjO4bOuekaQaGibnwFGO6fSJNwbY/sh4G1rXcBpNeyJ+U2fTvmVExnxAGHo1YJxiM\nCR+Uv+HxktGYd5jTfAsAmHi9EbHu4j11iTUdL/TuPQFvWBYm59N2n9sskWcZ5+gY8oY9IYQQQnxC\nkoxPCPH52B5uGcb9iOT69+M+0Uuo+u5V2GMGLYLSOc9bAd3xounNjHHYIvxwJri7GS69uMcKz3nm\n1YmuZ6/LE/r1GrXWhNruiOGiIP+B9frUsjwH3caeu0Ge33NKOO0TDs8peQGLw20L16vAy5B2f0GK\n/XTC5BGZ4/Jxh3rnBcXlFjNb7POU8WjEaDJ3rzSm6dZ4OrJoD0d/WZAPYNgmkDCceY2BgduN6a3A\n+TmkyeTeCfSS4ZCEIs77JwdXJqMEStMkhUIIIYQQn4rM6AshHiVLJiRZDklKzjlZMmY81tENC8u6\nXLru0OqsEj5p4fk5rbqNkY7odbq8LK1z0Lg2X2x4dKNtEu8nfqxZ9IM6getgkpFORkT9Ps9fmWwe\ndT6+8FadfjzGdX8h8CyGow41PSdu1HjyW0Z1vUNgjIn6158q6BiOi2cbD6sXkMd1zO9/I1/ZI4nr\nH/UQoOZ7lH6LaLcjzIaDnk0Y9jq0f30BLN84Pu03aRgBrmWQpyP63R7/0VfZ77i3Lp93Wj02Io9f\n6zXcUZOGa6PnCZO4Ty9KCYYTOndMyo/DFnFuY+oZk2FEv/+c1Nog6jdmX0k46RJ8+zMvl3d5PbxM\nDjim5X7PL0mZ1XYDK4npJ9fO0Q1s18O5CI4f077ZKCIM54/UMRwPP2iz3vme3xoBHb1L3bXQ0zFR\nt0k78dneyuj+5OKmMcPu9YdBCcN+dLUdIs9SxsOQ8Lc/0Zd3afvzLT4mGr5Cq7m3PHQRQgghhHgk\nJYQQD/ZW7S2jYMGnuq1OZo49Uyf7m2qlWlKahtKKJVVd3VKD07PFl359pPY219RypaSKGgo0VSxX\n1cr6lto7PFWXZx2sFxXamhp8sJxHarOMYnlPvV3w19P9VVUCVVrZU6fqTO2vaovrdPGpbB0/ql5H\nm2UFZbVxeEudFzpTg1VNUVxXhzPfv1XHu2tqqTQta7FUVSsbu2pvo6pgWe2+vjxuoFY1VGllXa0v\nl6dtqS0q40VfVnfU6cxtjtX+1qpaKpeUxrR+5eqKWt/eV8eLGnPO4UZZaaDQiqpUXVbr2wdqYZcf\nb6kKKJZ31ev3Z6v14u39ACW1fq1RHtS+pztq6QN9XN48mh73+lDtrC2pclG7GINLanVrX528VUqp\nM3Wyt6pKaKqyPlCv1cV4nL+eVlSlyu11PzvcUGWKanVwjwYVQgghhHiAglJK/SVPFIQQ4r/SmJb9\nb7rGDpNRc3Y2W3wCX2r7JvRqNs+yJseTjszoCyGEEOKTkqX7QgjxOSVDhi+L+IP6FxSEfkG+yPbN\nGXcCmn+abBy2JcgXQgghxCcngb4QQnxG6TBiXKnT8yXb2ufwJbbvJPTxfhrjbI/oupJuXwghhBCf\nnizdF0IIIYQQQgghviLyej0hhBBCCCGEEOIrIoG+EEIIIYQQQgjxFZFAXwghhBBCCCGE+IpIoC+E\nEEIIIYQQQnxFJNAXQnx10ijAKujUOmPyT33xPMLXdfzooVfOSaIWQc3C0AsUdAPT9mj0RmQLj08Z\n9hr4l8cXdAw/JP34GjzepINTKOD1F5f4s8lGdIMalqFP28FpMb7t2HRIr9Mhmtz4Az23QKHWJfms\nhf2rRQR6Aas5+rsL8kHZKKTT6TP+5D9IIYQQQiwigb4Q4qtj+n2GuzUmP/k0h58ussizMf1mi/j8\n4ecmPQ/nhx5JrU00OuFkHNH1c6JnLrXmcPaBRDaiU7P5rhmT2QGd3j77e11avs1/38vYcuKGz48x\neJ0+Bwd9ei0f87bDk4jOT236NwJ98XfKRl1++qkngb4QQgjxF/l/f3cBhBDic7AaIZ2+w7NGm8ak\ng/NRV8sIPZOn/7mM8LUHnj+m133Ou6Ud+t06FgA2didCn5j8EPYYdlw8fXqvuOnzU1JjdxzRsP/7\nQvtZY+LRG0p+n17D/bsLI4QQQgjxRZAZfSHEl2PUxavZWKaBXihQ0E2sWkArThYcbNHo1qm87NGO\nPnapuUHQTzg9PeV0sE7pwefn5DmQJqQzM5oXQbyuo1/G80lIu5+x3AkfGeS/X6I+HoU0PHu69N9q\nMCQlarg4lvl+O4Dp4DV6jG80UcqwG1Czpm1tmA5+O765dSAbEzY9HNNAL+gYpoXj3tYnc/KEuHV5\nDx3ddPCa15d3x9SNb/nlFbz57TsKhWmZ/eiW6w0bmN/+wivO+f2HwsXxBZzO9en9nGTYpe5O20U3\nLNxGdHM5/0y9CuimjVvvMrreAMMGZsGgHk2IO9N6FAo6bi8FIny9gFUP6Xfe19GwXBr9CVkS0627\n2OZ0O4LpBHRH1zvhIX11P5OOTaHg0olDmp6DqesUdAPbaxHf7FhGvQaubaLr09+a7TUIr988C3EL\nBZzufOvNbieYdGz+98cXwHOe/uuyX0waI963U3PIuN/Cd8zpeAuii1UuOZN+E88xr/rL8VtEyfUf\n0sWYd5pE/Ra+Y32wb9O4Q+DamFdbaGrTdpXVBkIIIb4iEugLIb4YeZ6C5dFo9+gPBgzCNr4x4ufv\nPRZuUXYa1KvviMP4ln3w96cbJpZlTR8yPPjsGo3WMsVXv+C5DXrxhAzIxz06Q52lVgv34sg0jvjz\n3MQYt3Bt4yq4NWz/fsHzpXEb120xNjwa7W22AheTnCw3qAUtuv0Bg0FIt+mQ9p/hBtf3/6dEQY3v\nfozBbdHd36fbDjCzZK4dE8LA5Wk/x22HRIcRYaeJa0zoh3etnU8Igxrfd8dYjS79g4iwVSMLn1Bz\nOxdBV412vMtqEbSVbQ4PDzk8GtJxb7mk0yLaXaWExvL24fT4wyPCuvX+mD/beF6X1PZpd3doujqj\nXwP86w8D8hFNt0ZrZNHoRQyPjoi6dYxhC9ebzw/wjn7dIQgznKDF9naT4NoDmle/NWiPHJrhkNFR\nRMue8OsTB9Ou09cDutGI48MQn4gfgxbvd5rct68e6jk/BT0yr000GnHUb2COfsavz/Z/XHdwOwlO\ns0c8POIw6uAT8dT16SUPu6MV9NlfrwBVNgcX/XIU0bq2zCYNfWrNGGp12ttbNDwLHZh0XWpPQlKn\nRS86IOo1sCddfnB8wvlyvPiFejuh1goZjo6I2g7JXN/moya179uMzTrd6JDDqEfbt8njkIf8vIQQ\nQoh/PCWEEF+ys321qqEqW8cL/3y0WVaUNtThp7rf0aYqo6nVwdkDTzxTJzvLqggKUFqprEpaUS1t\nH6vrVzraKCnQVHl5Q+3sH6jDw0N1sL+t1qpFBSW1fvD2jvu8VrvLKEqrau/kfmU83qootFW1f3n4\n0aYqg6puzZZNnWyrKqiV/YsyvN1XKxqqvHmz7c/OPnzvs4N1VaKoVvZfz35/uKHKaGpl7/L7I7VR\nQhXXD+5Vl8v+WRvM/+GiXcrrajBzy2O1VUGxtKNOr6pZVVplUx3PV+FoU5UpqY3Di38fbqgSmqpu\nHarXat5ArWqo8sbhbBsebagyqKXduXrvryqNslrQlDNu9JUaqDUNVd48+vCJSqmT7YqCZTV36+lv\nRFtRl916drShytqS2jmdu8DZQK0VUZWtk+m/3+6pZVDVGwfeLNPpTlXBstq7MXyn7VRc3lHH8397\nu69Wi6jS+oF6u+D74trBRdte9G11S80236naqc727fFmWcH7ul6rnHroL1oIIYT4J5MZfSHEFyRj\nEnVp+C6ObWIaOvo3T/jjHLJs8Zy97djwJiH9ixPFz0v6dbxWij845e3pEWHLxTZz/mz7BL3JVTK+\nLMtB8+jEPZqBh+u6eEGL/jBktfiG39rh/bLGWy7ugqX/eTokbNXfb4HQdf7980s4z7hswnEU84pl\nGk3nw6sXDBvHgldhg3q3TzxOyC4qousfXvcwjoe80WrUvdm0erob4JXOGcajT//GBADTwZm5pYVj\naZClF6sVEuLoBecvf+Hf37xf/l8oFCh8+wuvyEhm9l/oOK57e3JAY24FiGFhAPPNo5sGOhnZtan6\n+/TVg2k6hjH7lWmZM9ecRDGvzv/kx/+dq/83P/D7O0jT5JE3v51Rc3HmysUoYviuiBd4zPzJ8Km7\nGu+G0ezqCt2cPQ4T07zet2DVHIoMaQUtwmjE5Or/GPT/wkSXQgghvmaSjE8I8YXIiBsO3/+aUllp\n0Gg1sS0T0xjTdp9x28vFdENHI7sKQP8WWZ9m43fy+iE930LHImjWCBotel6NZ88Cuu6Yln0RAJ5f\n7Om/HnkYLr4Df0zGJHCR0O+BJj282jOe60us15vUXRvLMMj6db7/5Vpx0xSKDtat0eslh3Y0IG+2\n6bee8Ns5QJHyckCn151Zwn6jSbJsGpjNB3cYGAacpxnzTfB56HNBd0aSAss7HPe8BffXMayPKJV+\nW0A59/09++pTmD6Uya8erKRpBsVV9kYdaovKadw5MD6JLMvIMbh5Ox3DNCDL7tzCMP9AxQhC4rRJ\ns9vj6Q8/A6CVqnjNLmHL5cZwFEIIIb5QEugLIb4MaUQnfEVp/YBxeD0Ayz74H+d5lnGOjvF3TtdN\nRozfTVcXzBRDt6k3ajSfDxlNcrB1LMeG3yaMJzAbZV0G/4/JETA16rZ5ni+xMx7RtN5/n4xmr6gb\nBuT59OHIHTfTbZ9u7NMlI52MGQ37dFq/8iSwcMYt7FvOMwwD8nQ6izzTgdOZZc15fD0/joFlAGkK\ntn1r+T+3+/bV52AYBrxLyXQb2/rwsTowHZifpxzTVQ7zAzGfPowwjNtXUtx+VWrNkFET8ixhMhoR\n91q0f/Kp2wmRL6G+EEKIr4Ms3RdCfBnyjPwcrPlgOc8/uMR7MkqgZGH+Vf/9nk4YjUaMry/vtmxM\nYByPbiQFnIwTzrGwL2aJLS+gyiv63Wj22CSiP4aS6z36VYFZnoNuY89FR/lcoGa7DsXzEcPRfMtm\ns22dp9PZbwAMTNvFb/To+EVIxh/cYuB4LqXzEWE0OyebxSHRGw3Xqz0u0Nd1dM5JH7223cL1KvAy\npN1fMF+cTpj8BdtA7ttXn4Pju5T4k25neDOJZZ4wucx4rxsYGqTJXDtl+Y3zpqsGMtKHZBGs+bjF\nBck004hweE7R9R/8W8iS5GoM64aF4wW0ui0c3pEkf/P+HiGEEOITkkBfCPFlsDz8qsaf3Ra94YQk\nmTDsdwicgN/f3XbSmGj4Cq3mPjo4vpQlE8bjMeMkJeecLBkzHo+ZJLPBbxLV+fbbbwmupwQ3Azob\nFfI/6rj1LtFozHg8pN/x8bsvKa9332cgtxv0NitkvwfU/BZhFBOFLXy3yXNjjW5n0XLy+6n5HqV3\nEe12xDhJmIxjeg0X96cXM8cZXot6JSOs1+nFYybjEXGviet1eXn9wLRPYFu49Q5hFDMcxkS9Bq3o\nHSWvvmDZ93u616azAv9puPitkCiO6HfruMFvZEttOsEjl4fbLrUSjNoNuv2IqN8jHD0sgHNaPTYq\nGX/Ua7jNLv0oJur36NRdLHtBtvfP4L599TnobofeWplXv3rU/Ba9fkwc9em1AmqWTf3yXXy6i+8V\nedNv0YpGTCZj4rCJ59T5z/nsNc1ajTIv6DZbhFFEP7xHlnvDp91eIvu9jht0pv0QdvDdOv9hmc4j\nfgvjdg3LCWh2+8TDIcM4pNPsMNaWqHvWA68mhBBC/IP93dkAhRDi3k4P1NZKRRU1FFpRlZfW1Nb+\n9jQz91Uq9PemGdyLanVwV6b6u7xVe8vTbPk3PtVtdXK9iLtLClCV7ZMb1zja3VAr1dJV+UvVFbWx\nd6Rulu6tOt7dUMuVktJAacWyWlrbUYc3U7svcJGB/Fqm8dnrrqmlkqYAVSxV1crGrtrbqN7Mxv76\nQG2tVlRJQ6GVVGV5Q+3urqvK9az7ZydqsLWulqvlaZ3QVLG8pNa2D9TpfVKYn52qwdaqqpaL03qW\nKmplY28u+/oDs+4rpd4ebquVSvGq7Vb3Tj/QLmdqsKopKnMZ298eq/2tVbVUvuyDkipXV9T69v77\n8h1uqBJFtbhoF1n3598GcbqjlkAt78115o1r3bevHph1X1u5lrF/6vXusoL5LPuX47X8frxWltTK\nxo46uN65bw/V9mr1YpwUVWV5Xe0c7Fy8jeFo5nrHu2uqelEfrbSsdo4/0E5XztTJ/qZaqb7vh+rq\nlhrMvFHi/n37+mhXbawuqfJFOSiWVGVlQ+0efez/RwghhBD/LAWllPq7HjIIIcTnk9Cr2TzLmhxP\nOh89oy+EEEIIIcSXQpLxCSG+QjnjTkDzT5ONw7YE+UIIIYQQ4r+KBPpCiK/OJPTxfhrjbI/ouvJ2\nbCGEEEII8d9Flu4LIYQQQgghhBBfEcm6L4QQQgghhBBCfEUk0BdCCCGEEEIIIb4iEugLIYQQQggh\nhBBfEQn0hRBCCCGEEEKIr4gE+kIIIYQQQgghxFdEAn0hxBdj0rEp6B79/I4D8zGdmkHBCojSz1CQ\nNKZuFSjoPtFjzh82MHWX3q1lS4k7ATXLQC/o6KaD1+wzuaven9ukg1Mo4PWzv/a+2YhuUMMydAoF\nHcNpMb7XiSk9V8dsDB90u7huUCgUKDgdJgv+nsd1zEKBQsGmteiAW41p2QUK9ofKP6JpFdDdHp9j\n6AohhBDiv4ME+kKIr4/u0IojNvidetAj+ZTXzka0PJ/fXj3y9ElMq9XnzfmtRzBs1Pj+pyG63yEc\n9Ok1LZLeE2pB/78w+MuJGz4/xuB1+hwc9Om1fMw7T0sZhU06z29t6Lu96NKO5x9qJITtPm+0x1zQ\noV6vwss+4WjxEfkwpP9Kw63fo45CCCGEELeQQF8I8XUyXDrhBsbzFs3+JwqP8zFd36OnN9lZLz3w\n5JjAKPCv//uen/98d/thSUjr11dUNmPiboPA96m3IuLuEvkfLTq3BIhfrzHx6A0lv0Ov4eN5PkFQ\n+2AQPOk6FL75H759+juPfB4DpVXWl3OidjjzoCgfdemMLdaDpUdd1g7qLPGKfjjk5gKNnFEY8abo\nUfclzBdCCCHE40mgL4T44mSTiJbvYOo6Bd3ECboMF6wmN9w2nZWcP9rhwiXYD5PQDzxaaUAUd6gZ\n+gPPd+lNXnN6esrhZuXWo9JhxJgyXt3h+h0sv47DK+LorkXrKT23QKHWZTwKaXg2hl6gYDUYkhI1\nXBzLnH5X0DFMB6/RY3yj/VKG3cvtAwUM08FvxzdXFGRjwqaHY063GRimheMGtOLk7ibJE+LWzS0K\n46sIOKZufMsvr+DNb99Nl9MXdPw79kvYjZjXp6ecnu6x+qiZd0C3qLcDzD87tIeXBUqJ2iGZ16bp\nLD4tiTsE7kWb6waW49OKJu+DeiugvqzxJgoZzkf6+ZBe9IaiV8c37i5iPunT9B3Mi3vZXp2gplOw\nmlw9D8qGtDwH2zTQL44zbZd6dzjbl8MGZsHA70V06+50m4RuYNUCeuOMdNSj4V3+5gxsr8Vw5gIR\nvl7Aqof0r207MSyXRn9ClsR06y62Od1+YToB3dHsoJuEATXbwjR0CoUCumHh+E3699qzcnH/5pBx\nv4XvmNNxG0Tk9xn3WR9PL2DW45sPYMYt7IKOG15WOGPUq+Pa03vohonleNS7Q/7iTS1CCCHErSTQ\nF0J8Wc7/w7Nag6Hu0up02K7bZNGPeF53QTBv4jd8ii9Dwvtt6r5FSlz3qI9dwmEP9x5B2E06hmli\nWRaWdftDgmSccI6FMz+ha1pYRUgmyYKZ4AXGbVy3xdjwaLS32QpcTHKy3KAWtOj2BwwGId2mQ9p/\nhhuE1wK/lCio8d2PMbgtuvv7dNsBZpbMBTIJYeDytJ/jtkOiw4iw08Q1JvTDux6tJIRBje+7Y6xG\nl/5BRNiqkYVPqLmdi2C/RjveZbUI2so2h4eHHB4N6bh3XFo3MS0LyzJ56OOYmcvUWrSWM/qXs/rj\nLu2hSaPts+g5TxL61PyQ3GvRj484ikNatZTeDy7BVbIIk6Duor2JCOci/SwOid+V8OveneXOJ13c\n2hN6E4t6d5/9sEvDzphM5rcqZOS6g9/qEvYHDPpdWm5O/KOH353vo3f80WwSG3V68YjjuIOT/s6z\nmonl9ci8Nv3RiKN+A2P0M34juhHYvvqtQXvk0AyHjI4iWvaEX584mHadvh7QjUYcH4b4RPwYtGYe\nduQZWG6Ddq/PYDAg7ARYkx5P3AY3dlDcIg19as0YanXa21s0PAv9PuPe8GkFJd70u8wuAMqJOyEv\nSwGtYPqjnHRc3GfTrTX9g0OisEOjBqMw+gQPFIUQQohPRAkhxBfiZLuiYEltn5zNfr+zpKCkNo4W\nnPR2T61oqOXd14+865k62qoqrbSidq/d92izrNBW1eARVzzdqSpYVouKdLBeVGgrav9s/i+HaqOE\nYnlPvf3g1V+r3WUUpVW1d3LjIgsdb1UU2ur7ex5tqjKo6taxmrnCybaqglrZvyjB2321oqHKm8c3\nrnl29uF7nx2sqxJFtbI/2whnhxuqjKZW9i6/P1IbJVRx/eBedZl1oNY0VGnj8GFnrRcV5U11dFXO\nsto4fK0O1kqquLKnXiulTneXFFTU1snFSW8Haq14sz5KvVZ7y5pieVdd/eXtvlotooqrg2t9+Vbt\nr2qK0oY6vLPbXqu9FU1RWlMHc4NhsKZdlf1D5+8uo1jaVaeXXx1uqBJFtTqYveDJdnVaz+PZQh2u\nFxXFdfW+VwZqVUOVNw5nx8zRhiqDWpob7Gf7q0qjrBYMnVkX5Vo/vOO4i/sXl3fU8Yd/IFdujPuL\n8V3dPnl/0Os9tayhKluXBT1VO0solnbet92lszN1v1+cEEII8fnJjL4Q4suiGTdmxG3Pp8obxqPk\n5vGGjW1CMnncPv08buB3odnvU7cgz/OrD3D1v3+Z+05RWy6uffPgPB0Stup4NRvLNNB1nX///BLO\nM7KLWdNxFPOKZRpN58O3M2wcC16FDerdPvE4IbtoDl3/cEHH8ZA3Wo26N7t0QXcDvNI5w3h0v5UL\nn5nutWhWU8KGRzPSCdrB4vwAo4j43Tv+8+R/LrYYXH7+h6fPzyGZvF8xYfjUvSLv4vD9THUaEcbn\nlIMG7p3T+UOi4Tklv4l3j9Ul2ahPp+7jOhamYaDr/8Oz50Ce3WhjQ5+9oGkagI4x15+GaUKeXvX3\n+z8Ys2PGsDCA+eGgmwY6Gdn1n2WeEPeaBF4N2zIxdB39u195Q341Nu9i1FycBW1yn3GPXae5rPGi\n171aaTAJuzxnmebVXg0T2y7Bnx3qzR7RcExyeb6uf9QKEiGEEOJTkkBfCPHlMwwMbgu6dXQd8vxx\nu2fzLOXN+Qt+/u5ffCPyOZUAACAASURBVPPNN1ef7359A+d/8OSbbyg43U+W2d8wDDjPuVmVnCwH\nTTceH0xMenj2dzwNJ5huk04YMRyOONiszhyWpSkUTaw788E5tKMBm7WcuPWE7//9v/zrGwPLbdy5\nrzrLMtBNjBtBmYFhwHl6Mwj9e9g02h76yxcktRat2uLWz7KUnDLrgxNOTm5+Todt7Kujdby6T+k8\nJrxY0p9GIcPzCkHjls3/16UZ6TmY9t0J+9K+j/3tEzpjcOodev2I4eiI7fvmErzlgY1+3+0rtwa/\nc9/nI1o1m++bEanl0+qERMMRo/11yve81a3uOe7BJGgFlF716UYZ5EM63ReU/Bb1q6bW8boxexs2\nafiMH777N//7rwKG7d0vL4UQQgjxF/l/f3cBhBDio6UJKdrF7OO8adCs3zsymWV4PY6P0htB56Tj\n8/QPm+2jDp5hfbJXoVmOBSSME+B6zJcmJO/Asq1HB/qjbpvn+RI74xFN6/33yWj2irphQD59sHDX\nzXTbpxv7dMlIJ2NGwz6d1q88CSyccetacDvLMIzpjHAGzHTNdIZVcz7igcYnZvgdOus6eaOOddsx\nhoFOSpqb2PbdY0136/il3wjDiLTuEYUjzqtt6rc12MzNpkFylt718GpC2PmDN5UtjkcdnKsGzUgM\njX/SuxrzuEv3hc7q/ogouPZreuTv9rr7jnsA3WtSr/xGtxsyymOiNxUarbmcCYZDvTek3svJkgnj\n0ZBep8XPfh0rGdKQFyYIIYT4B5AZfSHEF276SrKXmkPgLvgv7GzC+BVY95j9XMiwcGo1anMf29JB\nM7BrNRz7WtK3dMJoNGKcPm4+2nR9lnhFHI5nHi4kUTjNxu/fY8b3Flmegz7dynDd/EoI23Uono8Y\njubrMDfLnqck79ejY9oufqNHxy9CMv7gKgfHcymdj65mtK/uEIdEbzRcr/aPCfTBphH2ad4ymw9A\nzcctnjPsdK69NeBSzmSSzH6lu9SDMuejkH7cp/cnLDWCWx+MzDAcahV4Gcdzyd+yuSXuOWkGWA6z\nu11y8nw+ad/fa7rixsCaW0byKbbG3HfcTzk0msvwZwe/9R/y5ebcGxYy0vdr9TEsBzdoErY8tPOE\n+W4WQggh/i4yoy+E+LKcj+jUm6ReDUvPmcRdOr8lVLeG1K2bh2dxxIgKzdpfM82WRHW+ffYnle0T\nJq3rYVtOOklI85x0kgMZk8mYcaqjmxa2eRGJWXXa612+/8XHp0XdNcknfTrtP9FX9mjWHl+2mu9R\n+i2i3Y4wGw56NmHY69D+9QWwfHWc4bWoV1x69TpOr4Vr5iSjPp1Oj5fwflY77RM4XXS/Qd13sIzp\nqw870TtKXp0PFVX32nRWIp42XPxJi7prkE8iOu3fyJa26QQf0V9ZwiTJyJm+JSBPE8bjMegGlm3x\n8XPECxgBnU7I8NnPuLWEVjPAMSGdDInCkNjqkUWzqzFq9YDKLz/TqSe80Wrs+dY9b+bQaK3Qe9rG\n81KagYOejon7ff54cQ7ly4UYNoFX5pewQ6tv0awZ5MmIfqdN9zkwv3L9b2S4ATXtKf12F6/jY+sp\n47hHu/0br9B4/OOt+4/7S1bQxG/9wO9vSqyF9bnVOgldzyWyAhqBh20ZkI4J2zFUGgQfU1AhhBDi\nU/q7swEKIcR9nWxXFFpVrW2sqmpJU6CpYnlJre8e3ZKJ/rXaXdYUlW11svDvj3db1v1pNnZUZXv+\njgO1pqHg5udGVvizU3Wwtaqq5aLS0JRWqqiVzX11vyT6lxnVF2QFV2/V8e6aWippClDFUlWtbOyq\nvY0FbwF4faC2ViuqpKHQSqqyvKF2d9dV5XrW/bMTNdhaV8vVsipqXPXH2vaBOr1PWc9O1eCqnkzr\nubE3lzX94Vn3p5niF7X14jcdzLuedf82N7LuX3h9uKPWV6qqVLwcnxW1tLqpdg8X3fhEbVenZdNW\n9u94m8K8t+p4d10tlYvT80tVtbo9UDsrmqJ6bbyfnaj9jWVVLk77p1RZVus7+2prmdnjLrPbzzXz\n2/0VBVU1P5ynv8Xrb4e4yLq/NZdG/3RHLYFa3pur/4L7vT3cVqvV0nQsFMtqaXVT7e2uqTKaWr3z\n9Ra33P+qre457pVSV7+hypa6ebW36nhvU60tVy76eDpul9d31MIuFkIIIf4mBaWU+usfLwghxOeX\nDes430U4+5PZfb9CfJUmdJz/o2MfkPa9f9DWhy/MpIPzf22M3YShbLgXQgjxhZKl+0KIr1Ma0aj/\nRra8S1eCfPG1Sfo02yNMx8Y0DfQ8ZdTv0ptUaYcS5D9eTtzp8qLoM5D/3xBCCPEFk0BfCPH1yYY0\nvYDfWWPQb9yaKV2IL5YO+SSmG/V48+4crVjCrvl0hx3u84Y+cYskpNN/Q6XRwv8syRyEEEKIv4Ys\n3RdCCCGEEEIIIb4i8no9IYQQQgghhBDiKyKBvhBCCCGEEEII8RWRQF8IIYQQQgghhPiKSKAvhBBC\nCCGEEEJ8RSTQF0J8RTKGTQddt2kMs0986RHduott6BQKOqbt0uiNue9dsnFIq+5Rsy0MvUBBNzAd\nj0a44BrZiF7DwzZ1CoUCumFR81tEk/zT1umhJh2cQgGv/4nb9i7ZiG5Qw7poe8NpMb7XiSk9V8ds\nDG+/9Dik4dmYuk5BN7BqAd1huuDInEnUxHdMDH3aJ47fIk7u1ydpz6VQcOktuvRDJD1qegGzHnPr\nnZMuTqGA3Zp85M0+l5xxv0MnHN379yOEEEKIh5FAXwjxFTFwuzGhl/Fr0CD62KDqUj6m5br8GOW4\n7ZDBIKRVy+g/q+F17xdMTcI23TjDdBt0envsdVt4+phfn85dIxvSqLk0Y51Gb8jJyQmjfgt70uWH\nmk+YfKI6fTFy4obPjzF4nT4HB316LZ8733Cep4zCJp3n57cfM+nhu0/ppw7NXp9B2MHTh/zoubRG\ns2F02g9wf+gxsep0+wPCToA5/pnv3QbxXxmtWj6NmsabKCS+JdKf9ENeUKXRsP/Cgj1Ezjj8iZ+6\nQz7VT1QIIYQQc5QQQnxtXu+r1RKqtH6ozj7B5d7uryiNklo/eHv9W7W/WlQU19TBPW7y9vREvZ7/\n8uxQrZdQVHfU6dW9Vi/uNXfRky1VAVXdOVV/m5NtVQW1sv/27mM/mSO1WZ725X2d7FQVcPUpbSw6\n90wdrJcUxRW1f71jzg7VRhmlrexd669jtVlGaUvv+2n69WWfnNxZpte7ywqW1e6NQfBw0/FYVKuD\nRf1wrLYqKG1pd7as/yhv1d4Kiuq2urvlhBBCCPEYMqMvhPii5JOIln+xjFs3sOwafjNkdH1W1Qzo\ntpbI+m3Cj54yzBlGQ86LHoFrXPvewA9ctHdDotHdVzEs++YstK6jA5ppoF/dLgcy0nR+mnh6jK5z\nh5SeW6BQ6zIeTZelG3qBgtVgSErUcHGs6fLzQkHHMB28Ro/xjVnplGE3oGYZ6IUChungt+ObM7DZ\nmLDp4ZgGekHHMC0cN6AVJ3c3Sp4Qty7voaObDl6zz/hqpjqmbnzLL6/gzW/fUShMy+xHH76s3Yh5\nfXrK6ekeq9ptR42J4jdotTre9Y7RXQK3xPkw4mpSfxIzfAVO4GNdv4QT4FfgRfTImek0om7p6Had\n+OoCGaNeA9c20fUCBd3E9hqE1zrI8Bp4xXfEvfjm0vdRSP+lRq0xV9abN5+OE6dJ1G/hO9bVlgS3\nEZHMHz7TzwV008atdxldr3gUoBcsmvO/h1EDs2AQxJf3/RdP/wO8+In/KxSm/aoHRADD6bH1aELc\nmY6NQkHHvdzzcOeYAYjw9QJWIyTqvD/WsGrUw/HsloePGb9CCCHEP5gE+kKIL0Y+7uA6P9CdWDS6\nfQ76PVq+RRK2CedW0FtBgxrPCT96/X7CZHIOlo01F2TrloXJGyaTh90jzzPSyZBevU6fZTqd4Ooh\ngOE3qVfgP40afqvPOM2BlLjTY1Jepx1Y97vJuI3rthgbHo32NluBi0lOlhvUghbd/oDBIKTbdEj7\nz3CD8FqwmhIFNb77MQa3RXd/n247wMySucAyIQxcnvanWxqiw4iw08Q1JvTnO+SGhDCo8X13jNXo\n0j+ICFs1svAJNbdzEbjVaMe7rBZBW9nm8PCQw6MhHfeOS+smpmVhWSa3PhfJJiRvwLAsjLk/WY4J\n5wmT5LKoYyZomNb8oxoL2wImYx68Gz6NqLsBfb1ONAwvHjakxHUHt5PgNHvEwyMOow4+EU9dn95l\neQyPhlfkfBje2J4yDPu80lwa/p2bG6Ze/EK9nVBrhQxHR0Rth+TXAL9zrUb5iKZbozWyaPQihkdH\nRN06xrCF6903X8IlE797wGYVKK+zf3jI4eEhR8M27tUx7+jXHYIwwwlabG83CWyd+42Z91792qA5\ntGj0YkbHMR03o//Uv7Yt42PGrxBCCPEP93cvKRBCiPs5VbvLmqK8rg7mVyy/PVWnN1Yxn6qdKkpb\nHXzk8v3psm3ml20r9X45/fYDFiC/3lXLF0vKtcqa2j1eULrXB2q9ol0sPddUqVxUWnldDe617Pu1\n2l1GUVpVeyf3q/nxVkWhrar9y8OPNlUZVHXreLbt5pfuv91XKxqqvHl845pnZx++99nBuipRVCv7\ns5U6O9xQZTS1snf5/ZHaKKGK6wf3qsusA7Wm3bJ0/3RHLYGqbN0s+3SZfVltHk3/fblU/mYRztRg\nVVNoa+qu0s0s3X99oDYqmtKqG+rgWvXPjjZUWVtSN3ZnnA3UWhFV2Xo/zs4ON1QJTS1f3wtwsRWk\nuDZQd2+uuBgn1S012wLT38318X6yXVVaZVPdGKpHm6pMSV0172BNadfa7f1xG6pEUa1dNdIHlu5f\n1Ku6dXhjq8v9x8xArWqo8sbc1p23e9PxetnnHzF+hRBCiH86mdEXQnwZshHR6Jyy38Cbn4I1LKz5\n77CwbY3zNPlnJfwyfXpHRxwe7NOpJbRqFv71DHv5iI4fEJltjl6/5eSgS92x0F/9Rt1rXlvifQfL\nxbVvzmfn6ZCwVcer2Vimga7r/Pvnl3CekV1M14+jmFcs02g6t8+IAxg2jgWvwgb1bp94nJBdTJbq\nd+wxGMdD3mg16t7szLPuBnilc4bx6Pas8n+XO7dN3CWHNKbh+oR6g3jYm9k2MIliXp3/yY//e7Gc\n/fLzzQ/8/g7SNHlfFLdOUD7nedi/WmafD3tEb0r4de/GKoXb62TOHWtimhpk6cXqjYQ4esH5y1/4\n9zdz5fr2F16RkaSfuqd0HNe9sdXlwWPGMGa7zDAxdcgut8V8xPgVQggh/ukk0BdCfBmylOycBcun\nb6cbBmT5RwaMOqYB5Auuc3Ftw7h3WAWY2LUarhfQDGO6bsYfzfZVBvVxu85PY4dOv0XNNLC9Bp1o\nTHKwgfniF4Jm9Pj6THp49nc8DSeYbpNOGDEcjjjYrM5WK02haHJ3Uzu0owGbtZy49YTv//2//Osb\nA8tt0L/jVYBZlk2DzBtNZ2AYcJ5mnzfQNwwMIMtu3iXPM8CY9juX/ZuT3zg2J8vPbwaUt5rQ9nx+\nfXmO5fo4c3VP0wyKq+ydnHBy43PKeGbPQo16UIE/Q6IEICMOY96VfOruxwWpszFuRpICyzscLyzX\nhND/a4Lijx8z+lzdHj9+hRBCiH86CfSFEF8Gw8DQIE3uO6Wdk2cZGPpHTsROVwaQTJh/ZXqeJKSU\nsO37P3yYZWBZBrxLmE6KZoxHL8Gwmb+k4TXwK/BuPLqZKO2eRt02z/MldkYjwk6DwHOp1RzsueQD\numFAnrMgBr5Bt3268Zg0f8vrk0MGuwHm+FeeBN0P7ls3DAPy9GoVwXvTlQUzCQo/B8PGKkGWzOcd\ngGScgmZhWRdfWA425yQ3xt7FPn7L4X4vsssxvB77W0skv/h4ndnEcIZhwLuUTLex7fmPhWXOtohT\nr1PlBWF/AllMGL2jHNT5yDh/jjFdLZOmcKNM03JdFUuf1vFzhcifY8w8dvwKIYQQ/3QS6AshvgyG\ni+fAqyhkeGNiNeVGknoSxpNzNNO6+53rH6Tj+i7au5j+8PpNMqL+kPOii1e79nU6YTQaXSTRe39s\nkix42Xo+pB+/gbKDbcA08C/BmxHxfJSRTZikoNnOo+uT5TnoNx8i5Plsg9quQ/F8xHA039BzM6Z5\nyvvY18C0XfxGj45fhGT8wQcSjudSOh/dSJaYxSHRGw3Xq33eQB8H3ytyPgpnt0Nc9Inm+u8DZtvD\nLcO4P5eNftwneglV/+Yy88VqNDt1gk5MvGEy/snF702u2tTxXUr8SbczvJlNP0+YzD9psgPqS/Ai\nDImjkPi8QlCvzZ/5kSxcrwIvQ9r9BQ/Z0gmTy8IaBgYZ6dxS/psrIXQM/fr2gPv55GPmI8avEEII\n8Y/3dycJEEKI+3p7uKkqGqpYXVPbewN1MNhXu9vraqlcVhvzCcBe76olDbX0KV5cfnaktiqaorik\nNnb31WCwr3bWq6qIppbm3qF+urukAFWZSdB3pDbLmiotraqN7R21t7endrc31EpFU1BSq9eTi53u\nquUiitKK2to/VMfHx+roYFdtLBUVxWV19yvbL5KsLUge+HawpkoU1dLWQB2fnqqT4wO1u7GsSjD7\njvezI7VZ0ZRWXlO7B8fq5PhIHexuquXyNEHgVTK+0x21VCyr5fVttTc4UIeHB2qwu6GWiqjS2sEd\nCeFO1d5KUaFV1OrWnhocDNT+zrqqFlHa0va1xG+PSMb39lSdHB+r4+NdtaKhiqt76vj4WB2fnM6W\n6WRHLWmoYnVd7ewP1GB/V20ulxRaRW0ezSZje72/qopoqrK6rfYGAzXY3VIrZU1RWpAccoGZZHzT\nb9RgrXzR/6dz32mqsrqldvcPpmN8a00tlTS1tHu68LoaJVUqPfS99LeNk4sEg5VrSfreHqqNiqbQ\nymp5c0ftDw7UYH9Xba8vq3Kxoq7yGZ4dqo0SSqtuqP2jE3VyfKj2t9dUpYhiJhmfUqc7S0qjqJY2\n99RgMFB7u4Np2Q+nifsWd/d9x8xFMr4biRYPL8bS4WUhPmL8CiGEEP9sEugLIb4ob4/31MZKVZWK\nmgJNFctLam1rTx3P/Vf5yXZVoV0PrD7S60O1s7akypf3rSyr9d2jG8HA4kD/rTre21JrK1VVKZeU\npqG0YklVltfVzuHNAp6dDtT22pKqlKaBtVYsq6W1bXVwep9M4LcH+kq9Vce706ARUMVSVa1s7Kq9\njepcEKqUen2gtlYrqqSh0EqqsryhdnfXVeV6oH92ogZb62q5WlZFjff9sX2g7lXUs1M12FpV1XJR\naaC0UkWtbMz35cMD/ZPt6sUbC+Y/N8fD2+NdtbF8Wc+iKi+tLewTpc7Uyf6mWqm+77/q6pYa3Kui\niwJ9pZQ6UXsrJQVltX71SoW36mh3Q61ctqlWVKXKklrZ2Fnc/6+nmeQBtXQjXf8HS3T/QF8ppd4e\nq/2tVbVULk37qlhS5eqKWt/en+mvs+NdtbZ0ecx03O7vrs1l3VdKnZ2ovfUlVS5evFmisqkOlboj\n0Ff3HDP3DPQ/dvwKIYQQ/2AFpZT6mxYTCCHE55H28e0njPxDktD9zEvAhRBCCCGE+Gf5f393AYQQ\n4tNKCOsN/tDXGHQkyBdCCCGEEP99JNAXQnxFUqK6y9OhyUbcw/+4LHxCCCGEEEJ8kWTpvhBCCCGE\nEEII8RWR1+sJIYQQQgghhBBfEQn0hRBCCCGEEEKIr4gE+kIIIYQQQgghxFdEAn0hhBBCCCGEEOIr\nIoG+EOKLFwU6BavJ6PKLfEynZlCwAqL0E90kG9Gtu9iGTqGgY9oujd6Y7H4lxNcLFAq3fQyCeP6c\nlGGvgV+zMPQChYKO4Yd8quo8yqSDUyjg9e9X608mG9ENalgXbW84Lcb3Pjkh9E0KBZPG8H5nxHVj\n2i9Oh8mCv+dxHbNQoFCwaS064FZjWnaBgv2h8o9oWgV0t/dJ+nrS+f/s3T9w2uj++Ps3M78ZaSt0\nKnQq9K3g3Aad5ppToa2svY3J3MKkuWYrk8rs7xYmHZ2VyqQyW1mpzFZoK3Mqs5W1lUlltgqpohR3\nolSWq+cWYJt/jrGT3Zz4fF4zmdkF8ejR8898eB49skmlXPwHVNnQy5PSXTrJF8jIf4yEQcfD88PF\nvhuU0VMpHP8+JR9Q0VNY9fDuQ4UQQoi/kDxeTwjx+Og2jV7AyP6easVh0K9hfU56yYCG4/BiZLPd\n9PEsGAUezWdFBsmAsJ6/I4Eidf+Q8rKAaeBTfzlAn34tDvFcl+cDg1KlglezMYgZkZ897r9CQq9W\n5qeexbbXoWxBHJus9uTEiF7VofbreyBz/1O/btHs1ei4xtSLI/xmh/cacHnfBG2q1QIvnnfwQ49W\ncfGIpO/TeavhNMsrXqO4n4SB/5zn0R7lapHpmiVfob6bJ28bt31YCCGE+GZIoC+EeJwMB8/fpvd9\ng3qnTFB5eNgUBw1arw22jnu0r4K+sosZWzxtNunVOrifjMBNnEp1yesRvlvnY7ZCzbk+G716meej\nIgeDgFr+vy+0nzWgF74nU+7QvimkFcSEDZdyL4+3Z9N4fs8Z18wGW/k+nabPyK1f/1CUhC28gcVW\nxeDVq/tPk+crVdae/0TH7+MVnbkfbhJCP+B92qValjD/L5ev4HmVr50LIYQQ4ouQpftCiG9KMuxQ\nd/OYeoqUbpB3qrQHy6dWDaeJt57wa9NfugR7xTPSD/pcpl0qzvRMn0G54qB97BM8cNVu0m/S/Des\ne02KVxHfyKfZiSl5/gOD/Ii2kyJVbDEIfWpufrz036rRJyKoOdiWeXM7gGnj1toMFmLWiH6rQtEy\n0FMpDNOm3OwtLiePB/h1F9s00FM6hmlhOxUavdEKBTCi17g6h45u2rj1DoPrlQ89qsa/ePkW3r/6\nfnKbg045uDNhhq0yblun2XvgjyW6RbVZwfzdo9m/ylBE0PSJ3SZ1e/nHRj2PijMpc93Asss0giHX\nl2RVqJY03gc+/fkVHkmfdvCetFulfNekctjCLeaxzHH9pHQTq7hKuY9vI7EqLdr1Mvak7A3LodaZ\nyud0toY9vKtbJ3SDvNugN9MQ7tOulujXMFMGrufTKN+cxypWac8lMPQrFPMWpqGTSqXQDQu7XKcz\nnM75bX3g/+F/O3/jx38Dr5/zj6tbZ/QKAUA4zsf8bTTJMJjNV75Iue4TfuraZvpFCt3M41RbhNFt\nx9yz7wghhBB3kEBfCPHNSAYtHPsp7aFFxTvkyG9RKyZEt95Sa1KulUn/4eOvflP3nBHD4SVYeay5\neFG3LEzeMxw+5G7qIa26z9tCA29qtUHUC/j90sQYNHDyxnVwa+TL9wsABk0cp8HAcKk199itOJgk\nxIlBsdKg1enS7fq06jZR5xlOZfr+/4igUuT7n3rgNGgdHdFqVjDj0dx9zSP8isOPnQSn6ROcBPhe\nHccY0vHv+mllhF8p8kNrgFVr0TkO8BtFYv8pRcebBPtFmr0DNtKgre9xcnLCyWkfz7kj5U4FpxFR\nCXo0bP3BtzvoxQaNUjye1QcYtGj2TWrNMsaSREd+mWLZJ3EbdHqnnPZ8GsWI9hOHyvVmESaVqoP2\nPsCfi/Tjnk/vY4Zy1b0zz0kSgeVSa7bpdLt0/SZlI+TFDy6r3C7+9pcm7ahIw+8TngZ4xQj/qUOt\nNxe9XvapFSv4iU2t2WK/ViTpv6BcnW4vq7arT/nIv5sew3yNdi/krNfCTQKeORWmb5lPYrCcGs12\nh263i+9VsIZtnjo15rO+2Af+L560jtkpANktjk5OODk54bTfxLklV8nAw7Gf0Bpa1FodjjttGmWL\nkd/k1iaehNSdIo3QotYO6J+eErSqGP0Gjnu1P8Pn9B0hhBBiBUoIIb4J79ThuqbIbKijd7PvdDc1\nRXZHnS772IdDta6hSgfvlr27gjO1k0Wxtq/ezL91vqtyoAp75/dO9d3RhkqTUVvHH2ZeP93OKNBU\ntrSt9o+O1cnJiTo+2lObhbRiyfFLUlYHJRSZDXV4frFSXs52cwptQx1dHX66o7KgCrtnaiaF8z1V\nALV+NMnDhyO1rqGyO2cLaV5cfPrcF8dbKkNarc9V5sXJtsqiqfXDq9dP1XYGld46Xula3h1vq5yW\nVZvT6XY3lUZGbZ+slIQ63kpft6dxPrNq++SdOt7MqPT6oXqnlHpzsKYgp3avqv5DV22mF69HqXfq\nsKQpSgfq+p0PR2ojjUpvdNVNbX5QRxuaIrOtTlartkUXR2pDQ+V2b+rjfK+gYF0dXp+oqzY0VHZn\nvrecqp0sSisdXufzfC+noKB2Tqfb3IU62cootHV1dEdTXGhXtznZVhnSavN47sA3+6qwSv+afH7r\n5OqFT/WBD+pwHUVhTy2kenqVj+sMqIOSpshuqYVu9+GNevNBKaW6anOuPM/3CkrL7aiz+VOf7qjs\nVTv8jL4jhBBCrEJm9IUQ34akT9C/JFOuc6/b7Y08eRNGD5p1/5MkfZqNX0lKTZru7BrtOE5Ac/F6\nbeoVF8dxcCsNOn2fjfR7Xl3NLt/FcnCWLFlPoj5+o3qz7FvX+eeLP+AyJp7MiA6CHm8pUavbn55Z\nNvLYFrz1a1RbHXqDEfFkklrXPz0nPej1ea8Vqbqzlak7FdzMJf1euHQZ+SdFHaqVDqYX0C4bJEky\n/nd17ST3TlN3G9QLEX7NpR7oVJqV5ZvkhQG9jx/599O/zz1R4e/8+NsljIY3M9tGmaqb5mPPv5mF\njgL83iXZSg1npSUIMcOgRa3sYOdNTENH/+4pv15CHK+wXn6hfmzcYprLQX/2iQCaSXFmczody7Zm\n2gus1q7uzNJ8a7OKOFkY9gc39ZaM6LXrVNwiecvE0HX073/mPcnieW7pAyuLQ4Lwkmy5hjt/K4Vh\nYS29vWJEL3jN5R8v+ed3c0/X+NdL3hIzipLP6jtCCCHEKiTQF0J8G6KI6BLMvHXPD+roOiTJQx8J\np2MaQLIkSIzHJLW+sQAAIABJREFUrxnG/XbpHrYb+G+z1LzqwtMAdB24TEjmT2Y4lG1gNFgt0F9+\nYtz89/zoDzGdOp4f0O+HHO8UZg6LowjSJtadP6jYNIMuO8WEXuMpP/zzf/jbdwaWU5u7Z3pRHMeg\nmywWnYFhwGUU3z/QTyLijx/57ad/8rfvvuO7q39PfuGS97z6/ju+u/ej5vLUmi76H68ZFRs0isuD\nsDiOSMiy1T3n/Hzx35t+k5tnM+i41TKZyx7+ZEl/FPj0L3NUarfc/D97Nno1m388adBPbKqNNn7Q\nJzwb3+bwMDq6oUMSL7a9+SMngej1YSu2qwflSYfLJB7fMpKENIp5fqgHRFaZhucT9EPCoy2yn3mm\npeKI+BLMuzvC9IcYRUBpn7Ml7eD8fIhf1vmcviOEEEKsQnbdF0J8GwwDAxhF9w3Yx0Gzrj/0kVkW\n+bwGvSGjBKYnCJPRiIgMbv4egUDcodH8HX3jaGnQaNl5eDVkMARmHr82Cf5148H3nIetJr8la+wP\nQurWzeujcDZF3TAgScYzjHecTM+XafXKtIiJhgPCfgev8TNPKxb2oDEV3M4yDGMcmMcw+4yz8Qyw\nZj/gOs0K/lnxemb0WtjA+WmAe9CjUTTJ37MpGGUPb0snqS3+MHN9jGGgExElJvkVTqA7VcqZV/h+\nQFR1CfyQy0KT6l1PagSIAjz/LZmtYwb+9P38MQ9t5RATjWIwTcx7Fvyq7erekogogrRtYgBJr0Xr\ntc7GUTj7FI0H9+07GAaGBsNRBCs/oNMYz/RHEeTzt7Z/eHjfEUIIIVYhM/pCiG+DUcTOwSgM5zb3\nSvjk1G88ZPAWrPsE4zN0nLKD9rFHpz/9I0NM0OlzmXZwpwPyaEgYhgyipfuXEzYb/PqxQMNbvgTc\ncisUeEunFcxufDcK6Awg47isMue7TJwkoI9vZZjJ1dwUbt6xSV+G9MP5a5ibZU+i8ewlAAZm3qFc\na+OV03euPLBdh8xleD2jfX2Gnk/wXsNxi/cP9HWTvF2kWJz7Z5mAjpkvUrStBwTDeWp+h/ots/kA\nFMs46Uv6njf11IArCcPhaC6vDtVKlsvQp9Pr0P4d1mqV1YK7JCa5HP8oNJOjZatOVjXq0O5fknEq\n925fq7ar+4p7bYKPaZzy+DGE41U5BtbcDPv9zqNj6Np4tv6uQw0H14a3S5+QELH8N0cLx83BHz7N\nzpLbhaIhw5jP6jtCCCHEKmRGXwjxjchTb6zT/rFBuW7Qqtro8YBe28P79ZLb1u7GvYCQHPXiw59L\nbpSb1HMOLyouulfHNWEUeDR/TVjbb1KeirZGQZV/Pfud3N45w8Zc2DZqU2+/JbPVpn5bRJev0d5p\n47ysUEzqNKoORtzHb7b4zdjkyLt7R/bbFMsumVcBzWaAWbPR4yH9tkfz59dA6eZ63QbVnEO7WsVu\nN3DMhFHYwfPa/MHU3GbUoWK30Ms1qmUby4B4GOAFH8m41dkFCXN0t4m3HvBjzaE8bFB1DJJhgNd8\nRby2N/Mkgm+CUcHzfPrPXuAURzTqFWwTomGfwPfpWW3iwJqpu2K1Qu7lC7zqiPdakcOytdq5LJdy\nocHzVoO23cS1YBQGtJtNfvkImRWSiDp1akYFJ2+QjEJ87yW/GRscec6929eq7erTPtJrVvFGLpYJ\ncdih1foVSgd4lfFPM4ZToaj9SKfZwvXK5PWIQa9Ns/mKt2gr/kChYzs22q8+9bpNwzGIIyjWykt+\nZLGoeju03ZeUi/G4To2E0bCH3+5jd0a0lzRyu9FmO3D5uVrECevUnDx6MmLY69AOIir9IZ7x8L4j\nhBBCrORr7wYohBCru1Bnh1tqLZtWoKl0dk1t7h6pvfXbdt1/N941O7dkh+37enei9jfXVDatjc+d\nK6mtg1M1vxn3eDd2VG5hp/APqruZVmgldfDmrpN9UGcH26qUyygNlJbOqrXNfXWy0oMDJjuOL3tK\ngPqgzg421VpGU4BKZwpqfftAHW4XFJTUzIMJ3h2r3Y2cymgotIzKlbbVwcGWyk3vun9xrrq7W6pU\nyKq0xk2d7B2rN6tsHH7xRnV3N1Qhmx5fZyan1rcP1dlMod5v1/2lPmPX/dss7Lo/8e5kX22tF1Tm\nqp1kc2ptY0cdLK28c7VXQAFKWz9aaEuf9OZY7a7nxuWupVV2bVPtHu2pjTQqM3Wht+26n17bVBtr\nk3rTMqqwsauO5yrtfC833l1/ri7fHZQUrKn9N1ev3KNdLXOyrTJoqrCxqUq5qbawc6TmN83/cLKn\nNgpT/WJjRx0ebKosmtroXufwE31AKXVxrg631lQ2PW6zmdyOOlFqya77k3OeHartmTpdU5u7V+10\ncdf9yYfU0e6GWste5TWjsoV1tbV3NP7c5/YdIYQQ4g4ppZT6uj81CCHEnyPuV7G/D7CPhrP39Arx\nXyugrD9hUD9j5D30JpAvrF/D/L6Dexzju187M0IIIcTjIEv3hRCPUxRQq74iLh3QkiBfCCGEEEL8\nF5FAXwjx+MR96m6FX9ik26mtvF+2EEIIIYQQj4Es3RdCCCGEEEIIIR4RebyeEEIIIYQQQgjxiEig\nL4QQQgghhBBCPCIS6AshhBBCCCGEEI+IBPpCCCGEEEIIIcQjIoG+EEIIIYQQQgjxiEigL4QQQggh\nhBBCPCIS6AshhBBCCCGEEI+IBPpCCCGEEEIIIcQjIoG+EEIIIYQQQgjxiEigL4QQQgghhBBCPCIS\n6AshhBBCCCGEEI+IBPpCCCGEEEIIIcQjIoG+EEIIIYQQQgjxiEigL4QQQgghhBBCPCIS6AshhBBC\nCCGEEI+IBPpCCCGEEEIIIcQjIoG+EEIIIYQQQgjxiEigL4QQQgghhBBCPCIS6AshhBBCCCGEEI+I\nBPpCCCGEEEIIIcQjIoG+EEIIIYQQQgjxiEigL4QQQgghhBBCPCIS6AshhBBCCCGEEI+IBPpCCCGE\nEEIIIcQjIoG+EEIIIYQQQgjxiEigL8Q3bOjlSekuneSvPGtI3UqRSk39M2uEU0eMgjpu3kRPpUjp\nJuVO/JnnjPGdFCm7xeg6GzXMlEGld9dnEwYdD88PWchFf5xG9c40/jsEFZ2UVb+py6iNk0qhV4J7\npxWHPp7XYTDfNj8jTfElRLSdFKniVF/6yv6ycWzoYadSuJ89HgFBGT2VwvGjz0/r/ienoqew6lOj\nbtSn7XkEw6+Qnf8oS8rmP8SXb+cjAs+j3fsabfAzrfz3O6RmpjBW+CP9db4PCfGfTQJ9IcQ92TR6\n55wdrKOhsb5/xnm/iX319tCjXHnJMF/H7x5z3GlRs/WvmN+Egf+c560+3+DXoa/LKFLd3aVezt/7\no3HY4vnz9mKg/xlpCvEfI1+hvrtL1Ta+dk7GRgHe8yad//pA/7/JkE7zOV5v9LUzIoT4D/W/vnYG\nhBDfGh0zn8ccGeiAYdnkp2K2OOzz+nKNg3aDivnVMim+BN2m6tl3H/e10xTir5av4HmVr50LIYQQ\n4lYyoy/EIxAPAxplG1PXSekmdqVF/wusTr2vUavI3378N/A7z/4+WdZve3xqkmnoVyjmLUxDJ5VK\noRsWdrlOZ/gl1t9FtJ2/8eO/gdfP+cfVrQZ6hZmF4/GATqOMbRroKR3TrtAKFwtw1POoOHkMPUVK\nN7DsMo1gyHROk1FAo1zEMnRSuo5p5SmW63MzbTFhu4aTN9H18e0NebeGP1ih0q5uNwiG9LwKRcsg\nldJx2hGELdxiHss0rm+bsIoVGktmfJJhh7qbx5xcS96p0h5czh21ZBnsCucYenn+56fXwG/8+Ler\nWzxMauEtaQJEfVrVSbmldMy8Q7U9d7vF5NrL7R6tqkPenBy7pL5Wq4eFwqVmptDLwVSdxnTKOimz\nRn+qoketIindxZ86bTKcOmdKx7CKVLzezBL5q+Wl/rBPq+pM8mfjDVdP4zb360vJuD0XLQw9hW7m\ncRvz54kJ29VxO02l0A0Ty3aptvpT9ZIw7NRxbXOcjmFhlxsEo9lz3nXdsOo4tmrfiei3xv1DT6Uw\nTJtys7fyqp5o0tev+oeZL+LWplaoLCw9ntwSYdfp+HXK9jh/upnHrQeM4iGBN5Ufq0jVnx07wrpF\nSq8wv0h56NmkUrNtbUa/hvmvl7zlkl+e3NxSZU8Kd7V2cZP/oNOgbFvX9enUgsX2Fw/w6+5kzBxf\np1NtEc4X8Cr9OqigpywWVtsvW949c14dw7SwneVj3Pj4Dq6ewqz2WOgFgwb5lH7P2y8+b4wASIY9\nvMrV2GSQdxvMrr6PCGoOtjXuU6mUjmHa4/Z3nVZAWf+BXy7h7ct/3dxG5/iLt6hdGXrkU6nx34rr\nzIyvxygHU5+L6bg6Kdu7qfdkRK9x1X51dNPGrc/fmjXEs1Ok3Pk8LLn1bqmEUdAY951JOy1WPMJ7\nfhX4suOIEN82CfSF+NZd/ptnxRp93aHheexV88TBT7hu65MB9p/BrLTp7hSAHNtHJ5ycnHDqV7E+\n8ZkkBsup0Wx36Ha7+F4Fa9jmqVOj99l/c03KrWN2CkB2i6OTSZ76TZzrYz7SqRap93Schoe3VyUf\n/cJP5RrB1PlHfpli2SdxG3R6p5z2fBrFiPYTh0ow+eIUB1SLT2iP8tTbASe9gFbDxYoC/OtANKJX\ntXG8EXa9Ta9/ykngUSbgR6dMe7TKdX2kU7Wp+DF2pcHeXp1KXidJIrBcas02nW6Xrt+kbIS8+MGd\n+RKdDFo49lPaQ4uKd8iR36JWTIhW+L67yjmsSoejrRxQYKc7LvOT04DGbRP5cY9q8XsafYNKq8Px\ncYemC71nDsV6f+5L40d+fVYlMCq0gpCzE58ywWx9rVQPyxRxnTSXYY/Bdd76dPqX8D6gc/2NMyHs\nD8B2cSYrt5NhC7dYpWdU8Dp9Tk97+PU8w+YPOLX+bJBx2adedGmNLMqNJnv1CrZxzzSW1c19+tLv\nz3ErHZJijWZrn1oR+i9+wK2H1+cZeg7Osz562aNzfELge9SKEPrB9dgybDkUn/pEdoN2cEzQrpEf\ntnhil/FHc+e85brH760yjq3adyKCSpHvf+qB06B1dESrWcGMR7cHQdPlGNYp/tBkYFZpBSecBG2a\n5TxJz+fOVdKvX1JrxTjNgDA8pVMxCF8+IW/a1HomtXaP8OwErxjx6scyrS8xSNsNgoMNMmiU9ib9\n7eQUv2qNr+c+7eL1S6rNEcWGTz88JWjajH6uUJ7+RSYJqTtFGqFFrR3QPz0laFUx+g0ctzHVd+7T\nr1cxwq84/NhJcJo+wUmA79VxjCEd/5aCNMo0Khned1p0Zsa3hJ7n80emQuNeS88ePkYAcNmnVqzg\nJza1Zov9WpGk/4Jy1Z/6ESohTgyKlQatTpdu16dVt4k6z3AqV8c5eL09ShpkNg4mdX7Cadvl1ptJ\n8g5OFgb9mz6ehB2C9/Cx708FwwN6g0uyjjP52z3CrxT5oTXAqrXoHAf4jSKx/5Si4y3envVAI7+M\n/eQFoVHGOzzCbzVw9Jjo4z0S+aLjiBCPgBJCfLPO93IK1tTe+cXs6/trCjJq+/RPPPnxpkqjqc3u\n7MvvDksK1tT+m89I+2RbZUirrZOrFz6owxKKwr66TvZ0fMzm8V2JfVCH6ygKe+p86Xk0Vdo/V9Ml\n+OFoQ2mk1dZV2h+6ajOdVutH7+YSeKcOS5qidKDeKaXU8ZZKT3/u2oW6mJzg4nRbZbUl5XPRVZtp\nVG53IZdL81zYPVHzuVnq4khtaKjc7tlNntc1RWZDzV9Od1NTZHfUTbPpqk0Nld25oyEtnEOpN/sF\nBSV1+GH+4MU0z3ZziiVlcrZbUFBQ+1dFMmkXG93ZRC+ON2fLfYV6uM2Hw3WlUVB7k3NedDdUOlNS\n6wVNZbZPJu3kVG1nUNnpMi1pKrN1rOYv93yvoNA2VPfi6v9zCnJq6/iNms3K6mncy0JfeqcOSihy\nO+p05kSTdpHenJznjdpfQ7E21eeuXFyM8/7hSG2kWczz5PX05vH1Nd5+3auPYyv3ndMdlQVV2D2b\nPdf5niqAWj9aaJQzznayCtbV4mEXN+ktjD+Tci3szo4zk7xpG0ezZfTmQK2BWpu6mNOdrELbVPPN\n9nyvoGB9qi8t6ZenOyq7ZDy+1W3torCrzmYOfKP2C7Pt4HyvoLTcjjqbr8jTHZUlo7Ynaa7cr7ub\nSiOrFoaZ+TL+cKTWNVR250zNu7ju2EvKZlLvhb2pmnl3qEpzY9aqHjZGXLXzgtqZ6XgX6mQro9CW\ntbdZ4/LcUEfX5X682vg8da7jzfTMGH+ynVHptXW1pk2Nq+d7qkBabR2PT3RxvKUyLP79uzjZVlk0\ntX549fq52iugWD+cG8NW+Pt9caw2MyitdDA33ozLMb04mC/44uOIEI+AzOgL8a3TDCxrdrO7vFum\nwHsG4ejr5Ok+khG9dp2KWyRvmRi6jv79z7wnIf5LVtHpWPk80yVo5C1MEuJ4MlURBvQ+fuTfT/8+\n+7SB1N/58bdLGA3Hsyx5m7z2kU69guf3CIfRZOZER5+cYBj0eHv5Oz/9z9yTC757wi8fIYpGK+XZ\ndhwW56FihkGLWtnBzpuYho7+3VN+vYT4qjCTPkH/kky5/sA9FFY4x72M6Pf+ALtC2Zp9x6665HhN\nMLce2NBn56x0c66+VqiH2xiOi82QfhgDCb1OH73cpFW1iYPOeBnpKCR8n8FxJ5tTxH064SXvX/3A\n31Kz9fqP56/hMmI0fQmahetYM23u3mksc5++ZFiYM8Vo4paL8HFAOBz/fz6fgd89qvU2QX/A6CoN\nXR/nPQzof0zjVuZmEY0yVUfjYz+4mfW87bqv37t7HFu17wyCHm8pUavby891B6tok6ZPo9LAD0KG\n0fWF352ebs4eo5vjctb12TIyDUwN4ugvGOTu0y50c25G2MQcZ3QyAz+iF7zm8o+X/PO7uXr410ve\nEjOKEh7Sr+9k5LEteOvXqLY69AYjrrq8/qmOna9SL2m8breul9YP/Ra/UaJev/9+IQ8aI65oJsWZ\nDRx1LNuCy3imLpKoj9+o3twmpev888UfC8fdj06xXER722fcpUI6vQSn3qbuJvT98SqLOOwz1Bzc\n4rhMB70+77UiVXf2D4buVHAzl/R74Z2rje4UBvTfa7j1T68AvNMXHEeEeAxkMz4hHiPDwADi5D/8\nOTNJSKPo8GJoUqrWaFRtLMvEGLUoP+18vXxNApmr0ovjiIQsW90ejSWbxeu6OQ66rTpBkFBrtGj+\n+AuXAFqGtUqTdquGbUAUxZDe4DD0KC6mhG48dAfDmF7N5oefI3LrNWqNOnnLxDQGNJ1nU4/Mi4gu\nwcxbf9457pnmKAYtby7+cGFYmFwFQ58ol8n3uuvWvkI93MpycHKXtPshSSWh09MpB0XyVhW70aQT\ntrCjHkOtSHPyRZg4Ir6Ews4JndqSfOoGpnVXMXxmGl+gLxmmgcZwEkjouK0eh3odz3/Gk5fjY9K5\ndWqtNp5rEccxCQaLTVbHMA2I48970sXcOLZq34mjCNI21gO7klHx6UV16q02Pz55AYCWKeDWW/gN\n5/al0fcxCUz/9BH6C7SL2Rg6Hv/gVNrnrO0u+eFDx7B0vki/XmDTDLok9SadxlNeXQKkyZYqeO0W\nlfxtwb5JpVGh8UOHVuDhlAd4rddkysdUH9JGHjJGfML4R4rkpi0M27jFZ/ymr7FVrVN18liGQdyp\n8sPLB+R3iuGUsanT68fU8x16sYPnWri4JDWffuyi90Moete3HMRxPP4BaKHhGxgGXEYxCTzoR7Ur\nSRQRY2KZf8ITeh44jgjxGEigL8RjFI2I0DDNL/KV9E+T9Fq0XutsHIUE09PL+n9Wvg3DQCciSkzy\n+U/nzXQbBG4DkojhYEDY8Wi8fIar5xm1HQzDgI8RsZ7nQbH2baIAz39LZuuYgT/9BTyem20df+kZ\nPWQmcdVz3IuBZcBlHBHB7GxONCKCB7Xju+rh9q+TNq6T4UWvR9iL6OllgqIOukvVrtPs9CkzgGKT\n6+/whoGhQRgnC6tDVvaZaXyJvhRHEZeYNwGyYVNt96m2E+LRkEHYp+01eFGuYo361AwDnZg4mv+a\nn4y/TBvGvcK4BXPj2Kp9RzcMSJLxbO/DKoNi3SesQxKPGIYhvXaD5vMy1fyIoPznjk9fMvj/8mPs\nuL8SRZDPc/tDMu/Rr3WYCXQ/Qc+XafXKtIiJhgPCfgev8TNPKxb2oHFrfnS3TjX3ilbLJ0x6BO9z\n1BrLfqhYxQPGiHsIW01+S9bYH4TUrZvXR+GSxHS41+/55s2PFP1BQOy0cA0w3AouNfxeSD5MyFdv\nVowZhgFJNP4BcKbZjFcXaLYxW47J/duwbujoJNcrNL6oB44jQjwGsnRfiEcnIfQD/tBsKs7NF7t4\nGBKGA0Z/+hTS6pJk/M3Bmpt6S77oSgQdQ59eevoAxTJO+pK+t2zjoYThcDT+z2hEdPW+bpIvulRb\nLao5eD8akQB22SHD77S8JZtRJSOGD62gJCa5BMueCxKTuS/QRhE7B6MwnJttXeHb2arn4GqWKl5h\ngz8Lx83BwJ/bET9h0An4gwJu8Z7h4gr18ClF1yH9tk/T66GXK5Mv6xZu1SYOmnj9mLw7deuE4VC2\nNT4G3uIGdEA8HN49s/2ZaXx+XxrS8QeQcxmvNo6JbtbqY1g2TqWO33DRLkcMR0z6xUd6fm+2LUcB\nfv+StFPm4Q9SXBzHVu07eccmfRnSX9iuO14pAImn2ohuWNhuhUargc1HRqMHjyJ3MkwDLqOFPpOs\nEv3oOjqXRHPrur/8GDvpr3/4NDtLWmQ0ZBhPHbdKvzYMDGKiaDZPC9edTN++YmDmHcq1Nl45DaPB\nHTu629TqJfjdo9z4N0mpzgNW7V+79xhxD3GSgJ4nP/fhxTob34qUxKu167E8ZSfDx75HM4hxqpMV\nKoZLxYF+q0lvZFJ0bn4ysV2HzGWIH8zWd9zzCd5rOG5x8vdgcptKNP+3Nr47gLcdbO09YW8w98bn\nfhd4+DgixKPwtTcJEEI83HjzmbQqbO6o/cMj1T06VHtbBZVGU4Xd06mNqC7U0YY23pDm5HPPeqHe\nnZ+rs4N1paGp9f0zdX7+7vpc99qMb7IhUmZ9Xx2fvVFvzk9Vd39LFdIo0NTG9cZSn7MZn1Jv9teU\nRlqt7RyqbrerDg+64w2zrjakWtj9alfl0NT6za5H6vxgXaVBpQubau+wq46Pu+pwf0dtFNJK2zhS\nF0qpi6MNlc6sqc3dA3V0fKJOTrrqcKc03sjoesOid6q7mVWgqdzGrjo4OlbH3SN1sLup1jKaWju4\no+Buy7M6V3sFTZHdVAcn5+rNm3N1crSnNnOaAlRmquLfHa6rNGm1tnOkTs/O1dnJkdrbLKg03LEZ\n3+rnUGfjDdEy67vqsNtVR4eH6vjNsjSVUh+6aiuLIrOudg666vj4SB1sr6kMmsptn9xs7LRifa1W\nD5/w4VCta0z6y9TGTu/GG6ixZOOwi7M9taahyKyprf1D1T0+Vt3DPbW9nlPpzJa6Kpnzvdx4460l\nG+utmsZSK/elyaZrWk6t7+ypw6OuOjrcV9uljIKs2j6+Ku0ztZtLq9z6tto/7KrjkxN1fLSvNnOa\n0nI76vRCKaUu1NmkbxU299RRd5zfjZymSJfUdFP+1HWvPo6t2HcuTtVOTlNadlMdHJ+p87NTdXyw\no0rZcTu9azO+k62MyhQ21c7+kTo+OVEnx4dqbyOrNG3tZgO52zbjW9i88FTtZFHawi55XbWhzW7W\nps52VQ5UdvNAnZydq7OTrtrfmvTLuzbjuzhWWxmUlt1U+0dd1T06UIenH+7fLhbyf6G6G5oiN7VJ\n34cTtZ3TFFpWlXb2x/V+dKD2tkoqm86p60tatV9fnKjtDEorbKuj03N1fnaijvY2VS6NYrqM3+yr\ntXRWlbb21GH3WJ2cHKvuwbZaS6Mym1cbQn5iA9EP483WIKM2j+ca4mSjPzJbav6tpR4wRtzWB94d\nzP7N/NDdVBnSam23q87evFHnZ8fqYLukMqCgpA6uh7AP6mhdU2gFtXXQVd3ukTo4OlvY7HLeePNS\nFOkNNb2v6XgTWhTpzbkyeKMO19MKLac2dg9V97irjiZtSFvbm9mU8c1BSWlk1Pr+sTo7P1OnxweT\nseWuv98f1PFWZnwthyfjz3b31dba+LOrb8b3BccRIR4BCfSF+IaNvzgU1Ob2hipkNAWaSmfX1NbB\n6dyut18y0B9/cYWpf5nt6+DwvrvufzjZUxuFjNJAaemsWtvYUYcHmyr7BQN9dXGuDrfWVHby5TaT\n2xkHTfcI9JVS6t3JvtpaL6hM+qqsc2ptY0cdnEy+eb05Vntb66qQTY+/MGlplS1sqJ2j87kvXx/U\n6cG2Wi9kVVobH5fJran17X11/OaOr2m3Bvrj8++u567TzK5tqt2jvfHO6DMVf6HODrfUWjZ93WY2\nd4/U3voKu+6vfI4P6uxgc9IuUVqmpPbPbklzXLhqf3NNZa/KNldabMer1tfK9XCbyY7zmW11MvOB\nd+pgTVOklwcDF2+6am+zpHIZTWloSstkVaG0qXYPb67jUwHvqmncZrW+dLXr/obanirvTGFT7Z1M\n/wjyQZ0d7qjNUm7S3lFaJqdKW/tq5jB1oc6PdtT69XkzqrCxq7rzO1/fFeivNI6N87VS33l3rHY3\nciqjodAyKlfaVgcHWyq3QqD/7vRAbW+sqeyk7ZLOqNz6tjqY3i39zwj01YU6P9pWpet+WVAbu4fq\naDt3d6CvxvW/nktf1//G4Zvr11duF6sE+kop9eFMHe1uqLXsTb1nC+tqa+9InU0X7yr9Wil1cXag\nNtem8ri5p44ONud2Zj9X3d0tVbqq+6uxa+9Y3VT9p54UctX2558soNRFdxz8zuzM/0n3HyNWDfSv\nxs61SftLZwpqfftAHW4X5gJ9pdSbrtop3fSF3Fb3znHi6keN9EZ38WkZGkpb2DVfKXXxRnV3N67H\nVC2TU+tvUuY/AAAgAElEQVTbh7N1Pbn+4511lbseV8Y/8uyurfD3++JcHe2Upj67oXYO99XGfXbd\n/9LjiBDfuJRSSn2dtQRCCCGEEEL8BYYe9j+aGAcj+nMbXvZrJt93bI6GvQc+jUQIIf7zyGZ8Qggh\nhBDiEUvoeS1ep8t0FyL5kKD3nmylQVmCfCHEIyKb8QkhhBBCiMdr5ON13pOrNlh4aMKwTz9ao974\n1NM4hBDi2yNL94UQQgghhBBCiEdEZvSFEEIIIYQQQohHRAJ9IYQQQgghhBDiEZFAXwghhBBCCCGE\neEQk0BdCCCGEEEIIIR4RCfSFEPcWhz6e12GQzL8TUNZTWI3BV8zDqkYEnke7Fz08E2ENM2VQ6T08\nic829LBTKdxOfPUCnp0iZdYI75tW1KfteQTDxbf6NZNUysZb8p74RkRtnFQKvRJ82XSTIYFXwcmb\nGHqKVErHMPMU3Qr1do/RdR/9jLb5F/qcsSUOW1RdG8vU0VMpdMOiWG4QjB48UAkhhBAP8r++dgaE\nEN+eOGzx/LmBWatgf6XnEX1+HoZ0ms8Jaw419zE9PNmkWNtlN3a491WNArznbYr5BuX87FtWuc6u\nYVB8TEX138YoUt3dpWjn7z52VUlIo+jwYmhSqtbxihYGMdEgpNcPePkshOKIlg2f1Tb/Qp8ztsRh\nQD+2KNdr2JZBMgpoey94UhzRHXYWH+0mhBBC/Ekk0BdCiEfFwKl5OF84Vctt4LlfOFHx19Jtqp79\nRZMc+XVevDbY7A7ozESxNeokRP2A4fXLf07b/E9i1XqM6tO/DlSoWDHm04B2L6ZckUhfCCHEX0OW\n7gsh7mXo5fmfn14Dv/Hj31KkUilSKZPa9FrcJCL0a7h5Ez2lY1hFqv6A+cWryTCgUS5iGfp4ua9V\npOL1GH1uHpIRvUaFomWgp3R008atTy/FDSjrP/DLJbx9+a/J51OkHJ8YIO7TcG3ypoGup0jpBmbe\nodrq87CF/pNbGup9Bp0GZdtET6UwKgEJEUHNwbamlz3buLU2g3g+nYh+6+q6UhimTbnZm8tTjO+k\nSNmtm3Jc5Xr6Ncx/veQtl/zyJHVdJvZkrf7Qs0mlXPzpPN1ZzlPXXvMJvJtjb2sTt7mzrQzbOEYK\n3fbmzj+kVdRJWRWCaFyGbSdFyq7Rbk3aqJ5CN/O4jSVtL+rTqt6c18w7VNshs1UTE7arOHlzslzb\nxLJdqq3+9XFh3SKlV5i/y2OxXD/VVq7OVRufS0+R0k3ybg1/sbEsEVDRU1j1m8469PKkUg5ez6fu\n2pi6Tko3yLsNVrmrJRpGgImdXxbA6phOBce6KaeFtgkQD/DrLrY5bte6mceptgivzh/5uHoKs9pf\nbC+DBvmUjtO+yewq48rQy5PSXfxhn1bVGR+r2/zv//fTY0vU86g4eczrflQc99WrjOmLSwAMw0QH\nVm7sQgghxBcgM/pCiHuxKh2OhhWevtLZ6bbGS1F1HWtqovBtu4xj2FSqDVpmRN9v8+rHMkZ+HHQB\nJMMWbrFJXG7idVpYRkIU+jQbP+CMThi2HW5bNfvpPIzwK0V+7BlsNls0bJNkGNBqPqUYjgj7DWzd\nwevtEbvPGboHdOrjpcy6mWccrsQkuk25Uce2DHRiRr023k8uQwaE9YctfY78MsWOhVuu0qxAbFro\nJMSJQbHSoF60MEiIhz1a3jOckc6wV50sc44IKkWe/BKzttWg5Vro8YgwaHN3iLfC9dgNgoOI8rMe\n+b0ezSKAjpG3bklzlXK+OfrtzzXq63Wa7R62mRC2atTn2sRtVmor+Rodv4/95DmVepGw7WCQENbL\nNAZ59kKf8vR68dc/0+xs0/A6eJbOqOdRf/4DbnLKoFUct724R7X4Ax3Wqbc6OCaMei2azxyKwx5h\ny8EAhp6D8zzG2fXoOBZ6MmLQ6+D7AcO6Q/HO+lm0vK1E9KpFyv08tUabpm1CPKTXavCjMyQZ9Knd\nVl2f9BvPKwlbzSaBZ8GoQ6P6gnI1z+i6/S2XL9qkX/5Kq97CblVxlwb8n5CE1B2Hjl6l2W5gmzrx\nqE+70cBxI8KBh21WqJfr/BC06cXO1PL3hLDd4Y+0S7MyzuW9xpXLPvViH8OuUG64mDH8H/+3y//5\n/y0fW5KwTvGHNvpmk1ZQxCRi2O/R6fj0RjWW3xER0Wn3+Kg5VFyZzRdCCPEXUkIIcU9v9gsKSurw\nw/w7XbWhoTIbh+rNxdTL7w7UGqjs7tnVC+qwpKnM1rGaT+J8r6DQNlT3Qn3SbXm4ON5SGdJq/ejd\n7Osn2yqLptYPr14/VpsaKrtzeuf1XuX5oIRi7UC9uXrpdFtlSKvN47s+Oy6XdGlfnS2U2XJnuzmF\ntqGOrsrhdEdlQRV2z9RM0ZzvqQKo9aOrhD+owxKKwv5NPle+nh2VRVOb3cWjz/cKCtavy3v1ch5f\ne3b7ZDbfHw7VujbdJm7P5+pt5UKd7uSURkZtdt+pd8dbKktGbRy9mUnvoISisKfOZ3OujjczivTm\ndXrjOlhT+29mDlRnuwUFBbV/rpRSb9T+Goq1JeV9caFuqi+r0DbVfFOZL9dPtZWL022VXZIfddFV\nm2lUbvdcfVp3oc2f7+UUlNTBbDVO8ruuju5sr+9UdyunNFCAIp1RubV1tbm9qw6Oz+fqbLFtnu8V\nlJbbUWfz/f10R2XJqO2TqWufaVdKqYtjtZVBZbau2tbqbWV83Tm1dfxGzZ/6trHlbCerYFmZXCyk\nMc7OidrfyCpNy6rN7rtlRwghhBB/Glm6L4T44vS8jTU9SWta5NMQR5O557hPJ7zk/asf+FvqZpl4\nKpXiH89fw2XE6IGb4Q96fd5rRapzG+zpTgU3c0m/F660gjYOO3jVMo5tYRoGuv53nv0GJPGDV+Aa\nRQd7yaReEvXxG1XcYh7LNNB1nX+++AMuY+JJkQ2CHm8pUavbt650+Cuv597lbBiz+TZMTH2qTdya\n8fu0FZ1iK6BVSvilYmNXOug7HfyKtZiurs+Vo07RteHjgHAIMKLf+wPsCuW5j9tVlxyvCcLxsvV8\nPgO/e1TrbYL+gFF82zlWt6ytDIMeby9/56f/mS2H1HdP+OUjRNHoYSfTdIy5c5mWOdP+bmdS9odE\n5ycc7u+w5doY8ZDezy949sM/sOw6vVvTGNELXnP5x0v++d3cNf3rJW+JGUXjVqQX69QKl/y73ble\ngh8HbYL3Oar1ySz9fccVzcJ1rJXryCrapOnTqDTwg5DhddtdrOekXydvfU9z5NAKB3TK/8nbDwoh\nhHiMZOm+EOIvoM/euhpHxJdQ2DmhU1vyBVg3MK2HnSmOY9DNhcAFDAwDLqNxYPupL/dRp4z99FeS\nwgbVqkc9b2KaOv3av3j+pe+zHbZxi8/4TV9jq1qn6uSxDIO4U+WHl1PXFUWQtrEeEC/8Gdfz+eWs\nL7udecmJ7ttW8tTaDVr/eM4f+gbtpsOqC6Z1Q0fjKriNGcWg5c3FpeuGhcnVjxQmbqvHoV7H85/x\nZFJn6dw6tVYbz7XmP/1gURRDeoPD0FtyO4CObny5YFLXdSBZ+UcgI+9QzTtUr15IRvSaFSovXlL3\nqgyXbgIYjwPv0j5nbXdJW9Exrn8xzFOtlWg+a9Me1PHs8ZL4ZM2jdpX0nziuABgVn15Up95q8+OT\nFwBomQJuvYXfmG1nSTTkj8sSBz2fZVkRQggh/mwS6Ash/nqGgaFBGCdY+fyDZz2XJ21AEo2DtZkI\nbxzAafbUzLIOyUIkM8T3fuV9bpez0Ju6zzxmZGg8cDe+W4WtJr8la+wPQurWzeujcG6+2TAgSYjv\n+pViwZ9zPfcq589x77Yyol3z+COTJRv/Sr3ew/HdlYL9aBRxiTn5McXAMuAyjogAa/ZAIsA0J6ka\nNtV2n2o7IR4NGYR92l6DF+Uq1qg/E+h9zu9EhmHAx4hYz3Pr1gn/KXQLt1nHaT2lNxyRsGwlyriM\niSLI57lr5wuzUsNtPKXTDmnWQ9q/gXNUvambP3Fcucpvse4T1iGJRwzDkF67QfN5mWp+RDD11AFd\nN8nlwPhKjx8VQgghZOm+EOLexrN9MdFDg17DoWxrfAw8/NHi2/FweGf8eVsebNchcxniB3N70fd8\ngvcajjvZaG0yo5zE80vXE6IYsOZuPyAhSS5XuLj7iZME9Dz5uVm/ZO4XiLxjk74M6YfzoeJdS+/v\ncT26js4l0d3rte9Rzp/pXm1lvPlePcyz1xvSb5WIX1Uot5d8cF4yoO3/DjkXNw9g4bg5GPh0hjMH\nMugE/EEBt2gCMdHNWn0My8ap1PEbLtrliOHk1IZpwGW00F6TePXQ3y47ZPidltdf3IAxGTEc/fXb\nuvdbt+/4n4R9BpeQL94WdE/K+A+fZmdJj4+GDKeTNsrUyhneBi2arTavMxXq04/0+wLjCtw+tsSj\n0XVf0w0L263QaDWw+choNFsGetlnOPSRp+kJIYT4WmRGXwhxb2axSJaXtOoNzFoRPY4xnCqrr1K2\nqLab+MXnPCsWCRs1ynkTogG9jk9nUCSI/E/u9n1rHtwm3nrAjzWH8rBB1TFIhgFe8xXx2h5e5SpV\nG9fWeBU0qLUTymZClOSpVvJU3CwvfY9Gx6JeNEhGIR2vSes3oPA5JbeoWHbJvApoNgPMmo0eD+m3\nPZo/vwZK18cZboNqzqFdrWK3Gzhmwijs4Hlt/mBuxnnGPa4n71DMvKDTrNHSK1hExFaFanExWtFX\nLufPtXpbiYIq5ZcjnMMBDVsHu4Pfs3lSL9OwQ7zp3f0Hbep1KBct9GRIr93i1essW8cNrlaC2w2P\nrc4TnjsuUbOGayWMghbNn0fktnvU8gAjWq5DYFWoVVzylgHRAL/Zg1yNyiSxvOuSe/4Cr94m33Aw\n4iF9v0nz1adrb6bMHY/2Zp8nP7sUozr1ioOlx4zCAN8PoDkkfNi2+w8Whz4//uTTWHMpOw5F20RP\nxnlq+/8mKuxeP9ViGbvRZjtw+blaxAnr1Jw8ejJi2OvQDiIq/SE3q/513HqF3KuXvPgZsjs+7swv\nCJ8/rsDtY4veLFIZOFSqZVzbRE9GhG2Pgba2cItG3POo+SPKXptlW0QIIYQQf7qvvRugEOJb9EGd\nHWyqQkZTgNIyJbV/ptT1DusLO6mfqO0MKr11MvPqxZuu2tssqVxGUxqa0jJZVShtqt3D04Vds1fP\ng1Lq4o3q7m6oQjatNFBaJqfWtw8Xd7x/01U7paxKayi0tMptdcfnvThXR9sllU2jQFOZXElt7R+p\n3fnd2u+56/7yHebH17E2uY50pqDWtw/U4XZhcTf0d8dqdyOnMhoKLaNypW11cLClcnftur/q9Sil\nPpzsqfXcpNzSWbVxOE5lcXf4Vcv5fm3iNne1lYvzfbWWRmU2u2pmf/MPJ2o7iyKzqcYbn0923c+W\n1OZGYVKWaZVd21T7J0t2Rn93ovY311Q2rSnQVDpXUlsH0+3zgzo73FGbpZzKpK/aYk6VtvbVbHIX\n6vxoW5Wy6XE62YLa2D1UR9u5pbvu3/40gg/q9GBbrRdu2m0mt6bWt/fV8Zs7HlVx26772vrN0x2u\nLvugpGDJDv9zLt6dqu7+jtpYy03K6CpPJbW1fzz79I3bngjx4Uwd7W6otWxm0u4yKltYV1t7R0ue\nUvFG7RdQUFB7tzxkYJVx5bbrvsrnsrHl3emB2t5YU9nJ66QzKre+rQ5OF0erNwdrCrJq5Yd6CCGE\nEF9YSimlvuLvDEIIIcRfKKLt/J1nyT5vwvqKc+lCCCGEEN8WuUdfCCGEEEIIIYR4RCTQF0IIIYQQ\nQgghHhFZui+EEEIIIYQQQjwiMqMvhBBCCCGEEEI8IhLoCyGEEEIIIYQQj4gE+kIIIYQQQgghxCMi\ngb4QQgghhBBCCPGISKAvhBBCCCGEEEI8IhLoCyGEEEIIIYQQj4gE+kIIIYQQQgghxCMigb4QQggh\nhBBCCPGISKAvhBBCCCGEEEI8IhLoCyGEEEIIIYQQj4gE+kIIIYQQQgghxCMigb4QQgghhBBCCPGI\nSKAvhBBCCCGEEEI8IhLoCyGEEEIIIYQQj4gE+kIIIYQQQgghxCMigb4QQgghhBBCCPGISKAvhBBC\nCCGEEEI8IhLoCyGEEEIIIYQQj4gE+kIIIYQQQgghxCMigb4QQgghhBBCCPGISKAvhBBCCCGEEEI8\nIhLoCyGEEEIIIYQQj4gE+kIIIYQQQgghxCMigb4QQgghhBBCCPGISKAvhBBCCCGEEEI8IhLoCyGE\nEEIIIYQQj4gE+kIIIYQQQgghxCMigb4QQgghhBBCCPGISKAvhBBCCCGEEEI8IhLoCyGEEEIIIYQQ\nj4gE+kIIIYQQQgghxCMigb4QQgghhBBCCPGISKAvhBBCCCGEEEI8IhLoCyGEEEIIIYQQj4gE+kKI\ne4s7LqmUSS1c+i6+myJl1lj69n+tgLKewmoMvnZGPl9Yw0wZVHp3HkjNTGFU7zyQOPTxvA6DZP6d\nR1RuM0YEnke7F937k8nAo6inMMs+o+tXVy2nmH7dRtfz1Prx/9/e/UInjq//A39zzvec5CqyinwV\nuYpcRa4iq8j3Z8gqsqpZBavKKlhVxtXBVWUUrCKrYBVZBatgVLOqjCqryqjJqGZUg3p+IrTlX9vQ\ndnZmep/XOSOGhk8+/xJ4kg9P9t73f7tZU0VCNNHfmqfPzLUgJhIwnP3nx12i83Zi5Z8IUVah23W4\n80/doDv4IzRtA5oiQUwkkBAlKLqN5uT52s0YY/+tONBnjDH22QVeC69edXYE+i/VDP3jV2iO5vu9\nLZigZr3CVGtg0i9D2Xu/EozWCI4Z4Be7ApfjqS+TaqN2dISyJj1zwUkUGgMMBgMMeh20yhrC0X/w\nvWbBmT/zruLwJ+h7gGofo9ProduqQAtcvPo/HZXJf83JgDHGPon/+dwVYIwxxlgcIbzjCn7xczgZ\n1aGKjy1Hht1poa/9gEq9AtMx8Oii2Keh2mg27U9QsAjFsGDpy//aZdg6oHz/G1r9Gcp19RPs8x7a\nMby5uDL/bJRNGfo/f0bfmaBjmH9vfRhj7AXhO/qMfeXCmYu6pUORxGjZo6rDqjnwvrRVueEco7oN\nXZEgJkSIsgaztr5U2+8YSCRUNGcr75vWoSZEGJ2VW4/hCGUpAaV2/48DZk0ViYSB5qiDiqlCFhNI\niDI0q4mJH2Dq1GBpCiQxAVFSYNTclaXQAFwbYkLB1m7uWLo+HzVhGypkUYQoyVB1E5XWBGs3TUMf\nnlOBqcoQEyIkRUfZmeLBe1ezJtREYqMfJtHSeMvF7XAH6JsiElrzti0x+h6YoaklkDAdrE+dAI6R\nQEJrrffNlhBztw5LkyEmov7U7Sa8GDflZk0V//z5LYA3+PGb62XFGz8NidtvwRROzYQmR0uBRVmF\nUW7Bi3Hn+nq+1J3rcVydL6v7mKBualBlCaIYLTeWVQPlzbGeRPOk7M4wakb9n0iIMDpdWOJ3+G0B\nvHv97e1SamOz7zfb5qLp/IV0pYXKXfFY6GPSKcNYjrWkGqj0Z9v9JNto1XMI+seItTp8zzZbnRFa\nZQOqLCKRECFrNlobJ6VwvnruEiErKnSrhv4MAEK4loSEXMFk5T1+R4e4dY6oQUlIsEe3rVw7Ly7n\ni90crc3h62X4zmyCVtlY1kNbL/uu7pi5qFsaZFGM5ojdwtYvIZ4wF7fPMT46RgIJrQa3X18/b1Xc\nB47N+0maDgVA4G80IE79b8bbXenDaPl9ZxrA9zqomNf9JEE16+vHEsTti0ySDEkAHj4pMsYYuw8H\n+ox9xcJpE4b2PVozBZVWH8N+B3VLwdw5hhPjy+qT9+/78Hf8C7a+oM3h2Dq+a02hVFroD104dR2B\n8wN0o3kTcMqGiSzmGK18k5z1XfyFBby+extQzCbwPiZhmFqMWr7Bq7IDWC243hnGHRPh6BVMRYbe\nnEOtO5h4p3CPVcxe2yh35o/qi7ljQvvuGJ5o4bjvwnWaKKsB3OPOWq6Cdx0LRn0K2aqjdVKDKc3w\n648W6g9FxKoBIw1MJ97N99/Q68P9AHycOCtBxhSj6QJpw1gu647X9081dyxo3/8HnmSh2e3BadVh\niAH8jw+/V7H76JUyALKoDsYYj8cYn7qorwxvrH4LPdQMHXVPQaXjYnJ6CrdVhjSpwzDriPcr/zdo\nHY8g28v54pQhea9gWi3cHlIBQlGDVW/B6Q8w6LdQN0KMfjZhtTYPvI/olzXYTgDNrqPRqMFW/x+a\nowbyApAqtqP2jsc47Zi4b6F2MHIw+piBXdHvvAP/7vV3sFo+1Mpx1E/iFL/8YKAy2r6EoNgV6HgD\nJ9b6/f3a/PtPZbiSjZbr4WzswIKLn60K3OtqBC7K+vfozFXUOi7GIxetugnFd+F4AQARuqVB+ODB\nuyneh9ufYoG/4Li3+/Q9D+8EHaYe9Uo4a8HUyxhJNpr9CU5PR3BqKmbH38GoTNbjx8UENd1Ea67A\nqh+jUbPx4Gr5xR/4Sa9gIhqoN5tolFUE7s8wzZU58ixzcYe3r1E+nkO/OW9pmP9iw4pzdeIOwdTD\nHAJUbeXq0V71/4jfazWMpDI6Iw9noyY0/zf8pMtQzA4C8xh9z8NpvwLJ+w+sinvPBa0QM6eDySIF\n09bv3IoxxlgMxBj7Sl1QOy8Q0iUaXm786fKCLjZfe0aXvQIBuP9f6pBOl9tfDUuUQpIKvfdr5VyN\nDykNgQrd69dPqZoGJQ8GdEVEROfUyAqULeQpKeSpvdzsfTtPglCg3gNtPG9kCLh937L21M2DkCrR\n+Gr19TM6yoCEQo9uih0ckIA0VU9p3ekhpZCkg+F1kQMqJkHJYo/eb2x6dXGxLG9ARQGUKnbpYnW/\n79uUAyh9dHZ/Y+iKhgdJQrp606/jwxQlcwXKCUkqDi6vG01ZJKk0jHYSv+/PqZEFodCl9W5d9lf2\nhC7uav/VkA5SICHfvt0m2pAOU6BkaUgPuTjJEpCn7taYxu+380aWhEyVzq42ijitUhopOhzfX4do\nvhS26vC+WyABKTrcnAfrW1E7D0JupQ/Gh5SCQNmj8da8IBrSgQBKb02uu41LqbXxX7fsp4PB+vhd\nDqm0HJvtOlzQSRYkFK+Pt33d1eaV+bh0NTygJJJ0MxWGpfX/325JV9eVuTihLATKXw/I+zblhTQV\nCmkSMg06X24/OBAIuev5+Z66eYFSpSFtTqXzRpYgFGlwdf3/DAEZKg0vYrc/ek+OGufr7zg/yRFW\n5shT5+LWMXbd19kjWj9TRGN42/67ReftFB2OL+nq6oquLt/T2bBBhRRIyB7R6UpdY9f/jvE+b2QJ\nyNDRRgHjUpKQLNHOM8LVBQ2P8tExUx1vjR9jjLH98B19xr5WgQfXWyBtVWBu3oGSFCjPncNpSxKF\nkyGGw81/A1Sz61tORxN8EHSUTXntddGwYaYWmIyu71JrMI0kPnqT6I7RzEV/pqHSqsOSPPRdH0CI\n6WSKhWZBj9NGQYS0tp0EWRYAiBDXbovKUCRgEfj3L5/exXMx+ZiEWbEgb/xJVJS1u7SiqkFZ3a+s\nQE3uWDa7RYRu6RDeTeDNAcBDfxTCqHVQM0NMnAkCAIE3wUwwbu5uxu/7J/BcTD4IMGuPSQ4Xz8P9\nNsfIfYvFX6/x738k1rOLf/sa7xBg7sdoqYCNeQHIhgEVHzCNOh4AEHh9NMsWDE2BLEkQxf/FT28A\nhMFGf4rQDGNrXuwvwHz+AVA03Pcr6s35BsmApQtYTL0dd5EVqKqAhT9HrHv6sdsMSOL6wSnKCmSE\nCK6X+6gaVOEj+jUbTWcEb+Yvy1g5LhUDRnqB6XKO+qM+PCX67boyd5arlqaYeAtkrlewBBP0vQU+\n/Podvkmsz4N/vXoLLHzMVxsrKDANZb8cBYIERVl/h2payN7MkWeai7uI8saqDzk6n8U+b33AL//3\nDf7xj3/gH9/8L/793THmZhfepAn9pkn7139zvGVZAiBC2jiYJFkGwh2rvgIXZVXFd04IqzeF1zLu\nXd3CGGPsYZyMj7GvVeAjWACy8vQQ4nFEKLoJc2t1ZQC/BaxGDkEQRF9Qt765SZAkYOFHgYIIEbpp\nQPjVgzcHJLePmV6BpRpQTQlm34Vf0TGZhshYxuODys1I7rZJj/pdaBD4CCFBlh+T0mzzgsPdJMOC\nhhpGkwA1tY9RYKBpKjBhIqw4mAQmxIkH6E0Y0nXd4vb944W+jwAylEe1/7E2+y2IArj8Cc465o72\niJCUR9ZPlCABCMJocvh9C9oPvyPMFlEuN1FTZciyiEnlW7z6ZL8rDhGGgCBLe46VCEmWomB8x0CL\nkgQE4YPT/sltFq9bsaTU4LohKvUWjn/8DQsAEFLI2cfotCrL5fMqLCOF15MRptAwczwoVguaBlhK\nC64zQ7PiwfNTtz/jWZ4Xs9Ux+pUd50ZRgqzEqO++pNU5En66ubhD3PNHJIViu4+6JiKcdVD58VcE\nPjbOD89wLN1RKfGu6D2YY/YOKA4m6FicGpIxxp4DB/qMfa0kCZIAzOY+8Mnuoz4PSZKiuzgBgI0v\nlEEACNpt8CIZJnShhtHEQ9ifQa9YkCFCKpuQzD5cD/DmEgzzb8gOLQLAw0GQJEkQEcD3nxoyP0A2\nYGQW6Ew8TKYuAqMFUwIk04aJCpyRB9ULoZZv7yDv0/cAgHD/ax2iJEJEuCM3w99Jilax+D6gqvfe\n9d6bP8McAhRZAjCD0/wdHzJHOPOa0G46L8BcEhDr1vg1EQhj91l0YWMR7nthJoTvB4AkY/s6TIgw\nCABpR0K0Nc/Y5hWyWYdr1oHQx2w6hddvov76J5iiinnHiC78WXp04c8bYeQpsDpRQG9bClquA0+b\nYSrqqF9fcFyeF70ghKKqf9/TBPw5fAjLO9nhp5uLz0DWDOg6AF2HG/rQf6rArMjwbnJEfMJj6S6i\nBDmjQJE4yGeMsefCS/cZ+1pJBkwNeOc62HrccOjjZkVz6GPqefBmn++B2ZppILXwtpJ+BSMH7gcB\nhoGU3rUAACAASURBVLmSXEw2YKoLeJ06+jMdthWFrKJehil56NQdeKKxYyXBJyBJkG4C+FvhZkSr\nmdCFjxh13O2Yx3/ETwHuFN3h/Dhp4tgNYJSXy1slE7YBTFrHGM1l6MbtV/P4fS9DlnbVN3g4gNcM\naMIHeKPNxeHxI39RFAEE8B89TRUYZgb4y8Fxf0ch/gyzRw1EiEnHxTtBg23IAMLo2FI2fkqAEGG4\n2KPcKHAPg+1l77tJUJQkMJvul2Hd78OZLJAybWynrpxjOltAkJUHflrwXG1erdccN4eVGD2hotxq\noZwBPsznN30i6hZ0YYp+vYOJYqG8nNqabUGZu6h3PECzbpedSwYsTcBHt7nzufDBbPbY6xL3COE5\nLv66mSOfai4+P7XSh1tVMP/Fhtm8forFZ6i/XIY7m6FlPHO5jDH2X4wDfca+WgrKzSoy/i+wdBtN\nx8XI7aPTLENXdRxfJ2GetWB/+y2+rewIQv8monmMZgH4o2LAqjtwRy76rTIM+1cEuWM07dUwQ4Vh\npPHxzzeY6Tas6z+JOsqmhLdv/gR0E8bfceNHs2GlFhgd19D3ZphNJ+g3bWj2r/iwup1so3mcQ/h7\nGYZVh+OOMHIdtComFLW29niwJ1fJMpB89wZvAgPl6/X5kGDaBsI/3+CtqMNaieji970Ew85D+KuF\nWmuE6WwKb9RBxdDx858PVEq2UbdT+KtVRtmZRO91WyjrNn758MB7r4vQdaTxFq1aHY7rou84GM33\n7Jt6B4eZAL+XdRi1FvruCG6/g2bZgKJaOwO/LQsPzXIdLacfvdfWYf3iI1troawAgArbTAOTJup9\nD7P5DNOJg7qpo/Jmr9rC1AR8dOuodFy4bh+d/v2PWdTMKEfDff3i92uoNDvo9/twWjWYegV/iEW0\nmsb23W1/AncWlXv/4fRcbb4VTmpQFR12vYP+aILJxIVTq8H5K4mCvfL0AVmHqS7w55s/oVjl27vL\nmg1L+Qtv3nyAaq3mQFBQ7hwjF77BT7qOcsuBOxrBdZqomCoUo7ny9IRHWnholmvLOeKgWdZhvp6v\nzJFnmot/CwlGa4ROQcSfr0zYy8D+b6//3EXNtlEffb4L0owx9uJ87myAjLGnuTzr0mEhS6mkQIBA\nyXSODo66dHadsvjsiDIAYWfW7Ufu8zp7887035fULaxn3ScioqsLGhwVKZtOkgCQkMpQ4XClnqub\nDkuUhED59nam+BRAuZOLWPU8b2QIQoF6G5mjh6Xkdv1uMoivZ6++OmvTQS4V1TmZptxBg3rtg42M\n2EREV3TeO6JiNk1JAQQhSelskart02W/R1nRt7Prj5eZ6cex2kSXPSoIoGRxM7t6j4oCSNjKmk97\n9P17GlYLlFnOpVS2QNX2gI5yD2TdJyK6OqdeNb/y3iJVuydUjJl1n+iSztoHlE0JBICEVJ5Ozoj2\n7rfLM+odFSmXvh6zFKWzBSo1ejvn2qrrLOyFUoEyqeXxlMlTqX223qdX59Q7zFM6iaitmTyVTnp0\nlAche50Nnm4ykt/Z/IsBVfO38yVTGtyfafyyR8UkKLPzCQ3LrPuFEpVuykxRtnhEg4vdOeWjLPSb\nT6W4w1PbfH5EGQhUuD4YL4bUKBVu5uTN8dI738qAf1ZNRxnczzdeP8oQdj0Vg4iuLgbUOMhTJiWQ\nAIGEVJqy+QM66p7e9PFd54f7RO/J0sFhcTlXo3NuqX26PXZPmIt3Zt3fyq5/RYOiQMhsZuPfdu95\n++qUjrICQchQdXwZv/53jHe0ryw1Nsbszj5ffk5lY57bGWOMPSxBRPS5LzYwxhhjn9usqeJfxwp6\nwQj2F/lT4RBeTcO3joLubITyU/Jw+n1Y6g/wrDHmzo67/Ywxxhj7qvHSfcYYY+yrIEI/7uBQ+gO1\nsrPfb/XXzOGUK/hdPEBn15J+xhhjjH31ONBnjDHGvhaSgZbbgDqpwLAfk3fDh1s28ONExmG/c5sD\ngzHGGGMvCi/dZ4wxxhhjjDHGXhC+o88YY4wxxhhjjL0gHOgzxhhjjDHGGGMvCAf6jDHGGGOMMcbY\nC8KBPmOMMcYYY4wx9oJwoM8YY4wxxhhjjL0gHOgzxhhjjDHGGGMvCAf6jDHGGGOMMcbYC8KBPmOM\nMcYYY4wx9oJwoM8YY4wxxhhjjL0gHOgzxhhjjDHGGGMvCAf6jDHGGGOMMcbYC8KBPmOMMcYYY4wx\n9oJwoM8YY4wxxhhjjL0gHOgzxhhjjDHGGGMvCAf6jDHGGGOMMcbYC8KBPmOMMcYYY4wx9oJwoM8Y\nY4wxxhhjjL0gHOgzxhhjjDHGGGMvCAf6jDHGGGOMMcbYC8KBPmOMMcYYY4wx9oJwoM8YY4wxxhhj\njL0gHOgzxhhjjDHGGGMvCAf6jDHGGGOMMcbYC8KBPmOMMcYYY4wx9oJwoM8YY4wxxhhjjL0gHOgz\n9gK5toiEUoP3icoP+iYSicTKPxGSrEAzbNQdD374iXb8LOZwm010Rv7WX2ZNFQnRRP+h+vsdGIkE\nRNv9NFV8ETxU5ASk8ujBLQPPQbPZx3Sr311YYgJKffpJavhyubDFBJTa850BZk0NiYQJJ/h0+3ge\nPjpGAgm9hfkDW263icUTYtpvoul42Oq6L+rcGMAxEkhoD8+Fu3zqz9Knmrs1mKoMMZFAQpRh9Xky\nM8ZucaDPGHukJAqNAQaDAXq9Dpo1C2roofXjt1C0Mtz5567fXWboH79CczR/fBGSjvLREWqW+my1\n+m8WeC28etXZEegzxr48IabOK7xqTbB1uZTPjX+fWROW/RoztQZnMMSw30JFEz93rRhjX5D/+dwV\nYIx9rUQohgVLv32lUm/Bn9RgWa9hWzImXhP6S/zeIWooN7XPXQvGGPuy8LnxbxN4E7xd5NDu1GHL\nn7s2jLEvEd/RZ+wrF876qJkqZDGBhChBNcroTBefrT6y0YLbKkB820K9v3q/J8SsX4OpyZDEBERJ\ngWbV4c63b+OGMxd1S4ciidHPAhQddnO0tvwynK9sI4qQFRW6VUN/dl/tXFjid/htAbx7/e3tTw8M\nZ20JajgboWlfly1BNetYX+m/Y9lyMIVTM6HJEsTVnzLEXDkwHzVhGyqk5TgqmoW6O0PUOwFGFQWJ\nhAzbXb+HFozKUBIi9OYUNz25WRdFg2HX0Z/d9nWcPn64XjelYe7WYWnRElJRUqDbTXgx7tDPmir+\n+fNbAG/w4zfXPwWRUVldKxv68JzKcolqVNeyM8Vm8XHbtJPXgqmrUGTpZhmsom+P36ypIpEw0Bw5\nqJkaZPHuOWKJCSgVB27Thq5Id9bdqylIiDY2f+SwvbTch1sxoCnRMRT9ZEaDWelg+tgVuzHbHVfg\ndVAxbs9Him6jOVntmAkqcgKi5a70QYC+JSIhVzBZ6Zh5S0dCvG3/zLGhqwpkSUQicX0Oqa3N61th\nNHd1JTrfyCrMery5EG/O3yGcY1S/HW9R1mDWdv0sxYfXKcNQZUiiCFFWoJnl9ZVGDxzH8efNci7a\nLXRqFrSbuWig0l9v18N97KNjfIMf/wDw9hX+dX0OFW24y33t+knHw/Nin2Nr37kQT+zP0phj7C/n\n0XV5sqpHx+rqdmtjHM1To9yCt/3LsjXzlo5vfvwDwJ/46X+XY6A1cf3xF7u/RRPObIJW2Vh+3mlo\n3vcZ+sznC8bYJ0aMsa/W1dkJ5QSQkC5Q9aRLvV6XTo4OKJsEIV2l00+038tegYAUHd61g6sBFZMg\nodCly+VL5yc5SiJJ2dIJ9YZDGvYadJARCMkCdS9W3np+Qvnk9XandHo6psFJibICKH04pisiossB\nHaRAyWyJTnpDGo+H1GtX6SCXpkL3crs+tzWn83GD8gIoVWzTeDym8XhMp+fvozo2MgQIJAhJyhQP\nqXHSppNqgdJC1Jb3N+UM6EAApavXHXBB3UKSkMpTtT2g4XhIg+4JVYtZSh8MH+zPi26RUkKGio0u\nDcendDoeUPswR0mkqDhY7vXqjBo5gZDMU/vi5o1USIJSB73bul2OqZoRCMkclU56NBgOqHdSpUIm\nSdnGefw+jlsvIrroFigJUCp/SCfdHvW6bToq5SkFULJ0f/uvLs6oV8oQkKXqIBqP8ekpXVxF/VwU\nQBAEElI5Kh2dUPvkiA6ySQLSVD29ui0nZpvurMf4iAoHVWq0ezQYDGjQa1O1kCYgQ9WVeR7NESz7\nd0CnZ2d0OjiifHJ7jhQFECBQunBE3eEpnZ2NqV3KkLBR99NqmiAc0GZPnTeyBBTodkpfULdUpMOj\nE+oOBjQY9KjbKFE2CUreOz+fo92bddnex9VplbICKJWvUnswpOGgS0fFNAlI08HNfLmiwUGSkDq8\nPT9dRucLIEWH46ub7XpFgZA7oYvlK2cnB3Rw2KB2b0CDwYB67SMqZgRCqkTDm3q9p3YeBICEZJaK\n1QadtE+oWsyQAFCmenozF7bbFH/O73ZB3WKKIGTooNGlwXBIvZNDyiVBQq5BZzdD/p4GB2kCUpQ/\nbFNvEJ0vDvNpSuaX58wYx3H8eXM9F5OUPWhQb3xGZ6dDah9kSECKSredF6uP358NqZoFIV2i3vU5\n9PR8ea5/7LzY59iKOxcuqZsHIXs7h+4S/7M03hhfnVYpDYEyBw3qDcc0HvaofVSifDpHy+Ejujql\nalagVO6Q2oMxnZ6e0rDXoGJaICF7RGf31ff9GQ2qWQIydNhbjsHZe7rau78FSiYFSudLVG00qHHU\noOE90zzu+YIx9mXgQJ+xr9Z76hYEQqpIvY0P5sGB8HkDfTqnowwImeWXlcseFZOgVGlIa2H48vXk\nwXD55fs9dfPC9na0/PIqFGlwRUTDEiWRpO0Y8oquHoroaHhnEBR98clS9XR171c0LqUIQoF6dwU5\nlz0qCKB0dfur2dVDFboc0EEySYXNQVz2BfLt2y+4F10qpEBCtkFnl+d0kou+EK7EjHR+lCEgQ0dn\nm/u9pIv3VxS7j+PW62pIBymQkG9vfJk+pcPUw4E+EdHFSZaAPG1fo4kClFSxuwz8r6vQphxA6aPr\n/o7Zpn1d9agogDJHt+MazZE8tTe6JQq61udIcddFhstuNFdWyowfsO12dpQhCEXq3ewofqC/0852\nPxToX9BJTiBkqrQ+9S6onV8/H112CyQgexPwXA2KlEzlqZAVKHXTX9H8We2nncaHlEKSSuPrF5aB\nfqZKa4fx9fkyeXAzF7batM+xuMPVsEQpbL//anxIaQhU6L6/+X8KAuVOLjZLoPcXy4uODx7H+wf6\n2/PhlKppkJDv3tuu7T6+pG4BhGyDzrc2fvy8iH9s7VHPWIF+/M/SuGN8Vk0TsKvOV2sXmoStfiGi\n0yqlkaLDMd3rfTdPQI7Wp9G+/Z2h0vDiwQuh99pxvmCMfRl46T5jX6twAneyQMqqffm/z/NcTD4m\nYdompNXXJQtlQ8DHiYspAAQT9L0FPvz6Hb5Zy+qfwL9evQUWPuY+AFWDKnxEv2aj6Yzgzfzl8lMR\n4lNzAggydG21liIUTQEWAYK7lkdLKjQFeOdUUG71MZrOESyXZ4oPVchzMfr4EX/88L8bTzL4X/z4\nZgHMZ7cJr5Qy+s4h5LevYKoG6jMDHXc1D8Ico8lfQLayIymTBEUW4/dx3Hp5LiYfBJi1MpRYHbw/\nUdWgrDZHVqAmgcBfDkjcNt0rwMxtoWIZ0FQZsiRC/McP+H0BBJsDL4iQpPWXZEXePUckCWsjIcmQ\nxZW67yn0J3Dq5dvls6KIf//nr/vn5732aPe9xUwwmi6QscpYn3oKLFsH3k0wWS4JlgwTGmaYeAGA\nEKP+BKJ1jFZZQ+D2o598zD14H1IwzJWkbuEco04NtqlDVZZL3v/vF3xAuKPfFchrYyTDtHTg4xTe\nXUuT9zkWd5iOJvgg6Cib6ydk0bBhphaYjDyEAGbuCB8EA5WyslGCGM2jOMfxY2ydizSYehKL6QQ3\nz7XYp4/j2GNeAIh/bD1nPff4LI07xoquIYkJ6nYdjuthdnO8i8vzwRwj9y0Wf73Gv/+xfs5KfPsa\n7xBg/pjH1+zd3wpMQ0H8GfVM5wvG2N+Ck/Ex9rXyffgLQFaVz12TbeEMcx8QDA0Koi8AISRIW1+i\nREiyBARB9AU68BEsgGx1jH5lxzcuUYKsAEANrhuiUm/h+MffsAAAIYWcfYxOqwJN2n7rU0TBenjP\nb3Q1HLsDhLVj9Os/4NcFACSRzttodlqw1bu/RgWBjxBplAYj1HckqhZFGas9IZlNtIp9fP/7B2Qb\nLazHCkHU76qMO7sgZh8HXrx6hb6PAPLjg49H2bigE3ve3CXAqKLhu198ZAoVVOo1qIoMWZri2Pgp\n1qO1Hp4jd9R9H7MOTP0nvBFzKJVrKBsqFElC0C/ju9ePKfDp7b4tKkCwQHQ8b5BkCQLmmF/HAYoB\nI7NAZ+IhtEP0RyIsV4eqlKHVj9H3WtD8EWaCjuPrq1ihh7pu4D8zGflyBfWyBkWRIc1bsH7ox6pi\nVI/ZnYHgvsfi9vsDQJS3AlVAgiQBCz9ACMBfbrejq65Levg4fhYiREkEwgBhCABP7+Mt+8yLu2q5\neWw9w1xYs8dnadwxlmwHI7+GWquDH7//DwBASGVh1lpw6gak5Rgjf4Kzjrkj0BYhKY84UTxDf99T\n+POdLxhjfwsO9Bn7WkkSJADzR94Z/JR8t4PRxySM6zv4kgQRAQI/BNa+0oTw/QCQpOgLtCRBEgAv\nCKGo6r13GWSzDtesA6GP2XQKr99E/fVPMEUV845x/x0KEcsvts9HVC20RhZaCODPpvAmfTTrv+AH\nW4E2reOuh01JkgQRPvxQhqo+/LU+mNRRHwHpdBJvj8toWRPUbi4kSFAkYOH7CIDdQULcPo5bL0mE\niPBmBcNnsce82cl30XTeIVUaYuqsfukOPnGgte6hLvRax3gT5nAy9VBTbl+fe4+8cvCc7V6OwWxH\nFBH4ARbLuRnRYBop/Gc0gjfyMRItuLoIiCbKWg3H/QksTAH9+Ga1SjhqofVWRLHnwV297SrGr2ng\n+1hAhnJHtL7vsbjr/Qj96ELC2tuju9GCFq3uuN7Ov/sgffg4XvH4Qy+APw8AOVplErpP7+Mte82L\neJ5jLmzVEfE+S+OOMSBBrznwakAYzDHzPIw6dRy/slBW53CtZbt9H1DVOz8fHtWWZ+7vG1/IeZIx\nFh8v3WfsayXp0DLA3PM2lpOGu7/5+TN4nofpY5YD7sGf1GFV/kCYq6NlLz/+dQtG8iNGzmgtuz18\nF85kgaRhQQMAyYClCfjoNuHMt8sOZsuls/4cN80QZai6iXKrhXIG+DCfP/DFN7qjGgbBE74gbwhX\nl4ZLkFUDVqWDppUE5tP7M33rFozkApNmc0dm7hCz2cq75w7K9i8ILAfe1MWh8id+tmqY3HSqAsNI\nA28ddLYKC+H7Yfw+jlsvzYAmfIA3mm5tE1d0xy6A/+Dy+jvEbdNdwgDhAlC0jYsEYZw79E8nyRKw\n8LfaH25cPQnCEBBVqBuBavjYq1bP2W7JgKkJeDdyNp62MEff8YC0AWMlmtFNA8l3Exw3RxAtexnQ\nKzDLGgL3GM1JANU0bu6gh2EUWSkbUXr8ts/Qd6ZAxoR5V1S1z7G4g2YaSC08OFtPxnDgfhBgmDrE\n5XbJxQROf7u86CcdMY5jxJ83d5r30ZkskDJsaNinj0VIohCtpHloH3vOiziePhc26xj/szTuGAcr\nn0OipEAzbdRbdWj4iPl8OcZmBvjLwXF/x9nJn2H2mGv4n6C/b3zm8yRj7BE+d5IAxtjjve8WKIkk\n5ao9Oj07p7NxjxoHWUpiO+v+RTtHACjT2E6ftK8oGV+SCo3BMvNul9onR1TKp0kASMgebmTuvaKz\nkxwJ11mfB0MadBtRluTVLPJEdHXWoJwAQipHpZMoq/Gg26DDQoaSqRKNieiqV6RkKkcHR+0oo/F4\nQN1qPkqS1H0oM/Yl9QoCQchSqR1lLm/3zuiKlsmJhMJKUrPI+/Zm0qONhFMXJ5RLpilfalB3ED0F\nYNCOMjGnDrYTxG06b0dZ65PZA2p0BzQcDqh7UqViNklCsRclSro6o0ZWICFTpfHlbV9lBVCquJJ1\n//2ADtJR/x1eZ+tuH9FBNnWbdT9GH8euF13SsJSK+rM7prPzMzodnFAplyLEyLpPRERnVUoDlCoc\nUXcwoF63S8OLqJ+Lwq6EbONlor/xzStx23THCFAjKxDSB9Qen9PFxTmNr58KAVBqJSvWPnMkbt3p\n7IgyAKUP2jQ+O6ez8YBOSsvjeCWp2uXggFJIUu5oQGcXF3R+NqT2YfR0g/UkZnGT8e3T7nhZ9zMC\nKJk7pJPeMtt3IU0CUmvZvqPGREkJ1zPt002ixeipCqsd3I2ellE4oeHZBV2cn0ZPVUhGTzYoDm42\njJLxCRkqVBvU7Q2o1z2hw3yKgDQdrmSY35XsMN6cv8vy6RtChopH3WWm/KiO61n3l9shRflqm3rD\n66d0ZCh5/aSSGMdx3HlzPReFdJ4OG23qDXrUPalSPoX1BHSx+5joYnk+z1W7NBgMqNseLBPzPX5e\nxD62Ytczftb9+J+l8cZ4XEpRKntA1ZMeDcdjGg+71CimSRBydHL9EXw5psOMQBDSlK+eRJ+LvTY1\nSnlKJzP0UG673cn4nt7fd4t/vmCMfRk40Gfsq3ZFZ90S5dLJ6DE56RwdHPWoUdjOuv/8gT5W/gkk\nJNOUzR/QUff0jgzOV3Teq1Ihm4ouBiRTlC0e0eB8+1vG1cWAGgd5yqQEEiCQkLot+5KI6GJIjVKB\nsukkCQBBSFI6W6Rq7zxe9uCLAVXzaUoK0XszpQFd0hMC/atzGhyVKJ9dlnk9Fo3herb4e7wfn1Cp\nkKVUUli+P0O5YpXa4/cUBdNpgpCjxkaK5ot2npIQKNc4u237+zGdlKL+A0BCKkP5UmOtrx/s41j1\nui7snHrVPGWW26SyRap2T6gYM+s+0SWdtQ8oe1PfPJ2cRf0cO1jeo007XQzpqJC5mRPp3AEd9RrR\n0yI+daBPV3TeO6T8zXGcpeJRl3qHmY2ALeqn3LKfkqksFQ7b1D3MPjLQ36fdDwf6RESXp20q5TOU\nWimvsfN5XRd0kgMhdUjjtb58T+2cQEiWaLjRx5fjBhVvzh9pyhWr1G0fUHpXoJ8p0uFBjtI3c/KA\nGuP1etz1VINYc/4uVxc0OCrenJuEVIYKh10625yAVxc0bBxQ7uYclqJs4ZBOoitc1xV54DiOO2+i\nuZjMHVAxd33ei86/w40TVLw+JqKrc+qWcpReBtepTHV5Me3x8yL+sRW3nvED/X0+S+OM8fvTNh0W\nc5Rejh2SKcoUDql9ujERLs+od1SkXPr2czGdLVCp0dueMxvuCvSJntbf94p5vmCMfRkSRESfYyUB\nY4wxxhj71FxY4veY1s4wb2qfuzKMMcb+JvwbfcYYY4wxxhhj7AXhQJ8xxhhjjDHGGHtBeOk+Y4wx\nxhhjjDH2gvAdfcYYY4wxxhhj7AXhQJ8xxhhjjDHGGHtBONBnjDHGGGOMMcZeEA70GWOMMcYYY4yx\nF4QDfcbYF8RDRU5AKo9uX3ItiIkEDMffs6wQ034TTcdDsPmnR5f5lZvVoSZEWG74uSqAppZAQq7A\ne7Yy7xlnuLDEBJT69Nn2ttscLS2BhNbEbOefW9ATCajNnX+9n9+BkUhAtN2blwLPQbPZx/S5h3HW\nhJZIwOxv9+TOqnkdVEwNiiQikUhAFCUomgGr0kTfWzm2/Ak6zSbcRzQ/ct8YP5+pU4apq5AlEYmE\nCEnWYNY+QT8zxhhjfwMO9BljXzbVRu3oCGVN2vONIabOK7xqTbAVzj+6TPY0MvTKEY5qFuRnK/Oe\ncX4JJB3loyPULPXmpcBr4dWrzmcNQOeOBe3bn9D3VdjHHfR6XXSadZhqNB7l48ltUD530Xx1jP5T\nAv1PPsYBZu4Ivmyg1uyg1+ugboqYvv4Bhulg/sn2yxhjjH0a//O5K8AYY/dSbTSb9pdfJotBglFp\nwvjc1fiaiBrKTe1z12LDBMf13/Eh18C5V4e68pcy6kAwgzsJIX62+j2GBKvvw16ttG1Dg4Lvfu3A\nnZdRUz5X3RhjjLH98R19xtjeZk0VCdGEM5ugVTaipbuihuYMmDk2dFVZLn9NQJQUaFYN/dnm7ccQ\nc7cOS5MhLrfT7Sa8zc28CuSEBHtlNf/D+/DRMb7Bj38AePsK/0okkEgkkBBtuHeUCQCB10HFUCGL\nCSRECYpuozlZv4c4a6pIJAw0Rw5qpgZZFJEQJahmHaMHbzeGcC0JCbmCycqrfkeHmFCxtrJ7WoOS\nkGCPbjskTv0widpWdmcYNW3oioREQoTRuaNy4QyOKSMhaqhPgpWXXdQtfbksW4Sk6LCbo7U7m/fN\ng90COEYCCa21Us5yeX3Fgbusr7jcX9mZ4v6b1g+M801jfHhOBaYq31t2nDY/l/jzyIUtJqDUvJv3\n/fPntwDe4Mdvlu1NyKjc/BYigNepwFBliGICCVGGalbgTDcXvfuYtK77OwFJ1mAdj+LdMQ/m8D8A\nSUWDsuvvkgrL0qJAf1KB/O1rvMMCv31/Xd8EtOUkefKxDADBFE7NhCZHbRFlFUa5BW+tMQG8Tjnq\nl0QCoiRD0UyUW7crD8StKxMiZEkEHpiFjDHG2JeI7+gzxh5nMUFNn0DSbFh1E3IAaBIQBoBiVFA2\nVMgiEPoe+q0WfjACSDMH5nK1/NyxoP34B8T8IZpdAzICTCd9OB8f3vXD+5BhtYaYlb/D66CEnlOG\nDEAU5bW7j2tlejUYxmv4ehXH/RYU+Jg4xzj+Px3TgYe+tbrY/A1e2SFKx8dwmwow76Ne/g+ssor5\nqHzPsnQRuqVB+N2DNwMMFQB8uP0pFljAcWeo16Ma+p6Hd4KOY118RP0+ol/W4MoGbLsOSwogqbvu\nr87h2AZ+9BQcTUZo6tHghLMWTP0YgXWMZr8FRQrhew6O69/BmI8x6xi3d2vvmAf7evdLBbVCBf8q\nXwAAC0pJREFUDcedETQ5hNeqoPajBUmdoaXfdW843ji/61gwJA12uY6W7GPidPDrRtl7tfnZ7D+P\nFLuP3szGD7+KqA5asCQAoghFAwAfo7IOa6KiUu/gWJOBYIZRq44fjRnC6QQVJdrOtXV8/1uAXKmO\nlqlADObw3E6838BLGrQM8IdbR60v4djSId/VOVodbtuH9dMIamOEYx0AREiqAuAZjuXQQ80w0BfL\nOO7UockigvkEnXodhunDmzahAZg1DRivAhhHTfQNBWI4x3TUh+O4mNUM6LvqHozQct9ByFZgKnE6\nhjHGGPuCEGOM7em8kSEgQ6XhBV3FecP4kFJIUmm8/P/VkA5SICHfpou1DU/pMAVKloYrL0XvPRjS\n/Tb3QZfULYCQbdD55rZbZV7QSU4gZKp0ttagC2rnBUK6SqfLV6K256n9fqPIapogFKh3+UA9L04o\nC4Hy3eWG79uUF9JUKKRJyFzX9YoGBwIhd7Lsn/j1i/pBoOzRmDaqSHR+RBkIVBxcEdEF9YopQjJH\njdPVSr+nbl6gVGlIm005b2QJQpEGV6t9scc8oEvq5kHInqyM+4CKAih9OF4v47JLBQGUPjp7uMy7\nxnlZdqrYpYvVwt+3KYfVsuO3ebcLOsneVQciujihHECZxu1f48+jAR0IoHT1dKW4LAF56m5U9ur0\nkNJCjk4uNvZ/NaCDJChzdH69E0oDlD06W+/z8wZlASo8OImJrs5OqJACASBAoGQ6S/liiaonPTq9\n2Ois0yqlIdDB4MFiI3scy+eNLAlbx8X1PlN0OCaKjh+sHE+rDbnaOXcvz9p0kBEIqQK1z+PNbsYY\nY+xLwkv3GWOPIygwDWX7Lmc4x6hTg23qUBUZkihC/L9f8AEhguvbhZ6LyQcBZq28e+nvQ+LsYx/B\nBKPpAhmrDG2tQQosWwfeTTBZXY4uiJA27lrLigwsgof3rxgw0gtMRx5CAP6oD0+JcgYocwfODACm\nmHgLZAwj6p996wcRmmHcvbIgnKNvG/hhoqIxmaCurzQmmKDvLfDh1+/wTeJ2qXUikcC/Xr0FFj7m\nq0ui75oH+5Kk9TIkGbIIBP7T86yLqgZltXBZgZpcKXvfNj+Xp8yjHWbuCO8Wf+Lnf663IfGP7/Hb\nR8D35wCAqTvCO+RRqWmPHjdRq2E0f4/TQRuNQxuGAsy9Pl7//AO+/acCqzOLt+D9ScfyHCP3LRZ/\nvca//7HR5m9f4x0CzP0QgAxVTQF/NlGudeBOppivrNff7INpS4fy7xqmahPj6QiVnathGGOMsS8b\nL91njD2f0ENdN/CfmYx8uYJ6WYOiyJDmLVg/9G83830EkKHcud736fvYSxAgWACSvL3mXJIlCJjf\nBgZ3EMXot7wPBzcqLCOF15MRptAwczwoVguaBlhKC64zQ7PiwfNTMEzt2ep3awGvbuD3dx8g5Cow\nN4OYwEewALLVMfqVHZcKRAmyEndfTyHu+M30Jyr7yW1elvfA4IsxGhR/Hm3z/QBIFtH1mjuWoosQ\npahtge8DSQ3KUx99IMrQrQp0q3LzUjB1ULF+xG+1Glx7BPu+n3E8+VgOogsw+ROcdcwdFy1ESMsr\nPGZrhK5YQ9P5Cd+/jv6azBRQaXXQ3FiX709n+Jg5hufW7vypD2OMMfal40CfMfZswlELrbciij0P\nrr0SRYjr3/ZFSYSIEMEjopm4+9iLJEESgNmOaDnwAywgQXm2J/GJ0C0dwq8ePG+EkafA6kQBvW0p\naLkOPG2Gqaijfh2tPXP9AslGrxniuPwKpiVjMirfBjTLfXlBCEVVv7LM6Y/05DZLkGUB8Gbwge3g\ncD7DHAK0HRdqnpMkScBHH4GoYvkT+J1ESQLC5fH3zAMsaWXU7SZ++89yFcQ9TX76sbyc974PqOr9\nQbmkodyZoNwJEcxnmHoTdJp1/McqQ5lPsHp9R5IVZFTpv2PuM8YYe7F46T5j7NmEYQBAgrJxqzAM\nNyJ6zYAmfIA3mm6W8Hz7gAhJFKK7tQ8VKhkwNQHvRs5G1v85+o4HpI1l4rznIeoWdGGKfr2DiWKh\nvCxbsy0ocxf1jgdoFm5y0D1r/QSYx03YdgcT5wDiHz/CtPu3meUlA5Ym4KPbhDPffncwm31hz6vf\nY5zv8uQ2i9BNHcKHEVr9zS0DuB0XHwQNpv48gX501z+Av7ErzTKQwp9oNSfbfRHOMZtHk0c1NCQX\nHiZbj7gI4q0kmPdRb44w37nxHJ43B5IqNOWmwhCxgL+xFv/px7ICw8wAfzk43up3AP4MsyBql3+7\nVh+SosGwa3DqJoTFHLP5+tv05hQzt/K4nxUxxhhjXwgO9Bljz0YybOjCO/SPWxhN55jPPLitMnTz\nF7xb3VC2UbdT+KtVRtmZYDqbwnNbKOs2fvnwTPuACM3QILxzUKs5cF0XTsfF7ie/Kai0KsjMX8M0\nKmj1Rxi5DuqmgfqfEg5a9d1ZuR9L1mGqC/z55k8o1srddM2GpfyFN28+QLVWf2P/aeon232M2gWE\nv5Vhlq8fraag3DlGLnyDn3Qd5ZYDdzSC6zRRMVUoRvOOPvxc9hnnuzy9zXK5iVo2wO9lHUaliU6/\nj77TQsXUYP8WIFNpLTPeP52s60jjLVq1OhzXRd9xMJoDotFE5yCNd7+Y0K06Ov0RRm4fnboNXVFR\nXj63TzLrKGcCOOUyOqMpZlMPo04NhtnCX3EqEM4xevUd/imrMOwamh0H/X4fTqsGW9Pw0xsJxU4T\n5vWFKtWAngK84wpafRduvwPHC57lWNbqHRxmlv1ea6HvjuD2O2iWDSiqtbxwM0fLVKCaFbQcF6PJ\nBKN+C+XjEZCxYGtrjYPXsmGXO9i8DMkYY4x9VT53NkDG2NfnvJGJMoPvSEZ9OW5QMZsiASAhmaZc\nsUrd9gGlIVBxNev21Tn1qnnKJAUCBEpli1TtnlAxRtb9ffbRLeUonYwyg6cyVRrfUSYR0eVpm0r5\nDKUEEIQkpXMH1Biup0W/q+3v23kCdmQ8v8NZNU1Aho420oifHWUISNNKkvW96neTsXzXUwrWsu5f\nu6KzRo6SEChbHd9knb+6GFDjIE+ZlEACBBJSacrmD+ioe3qzzX3zYLd7su5vZdcfL5/AMH642LvG\nec+y47T5oXr0joqUSydJwHKMskWq9s52ZPOPO4+2s+4TXdJZ+4CyKYEAkJDK08nZ7d9O24dUyKYp\nuZwnqUyOCocnNFzNhv9+SEfF67mUokz+kNrtEmViZd2/pPNxl45KBcqmU9F+Vo/Fs+33X44bVMgk\nb47ZYvfi5vUnHctERJdny36/LidF6WyBSo0eRVW5pLNulQ7yGUolr/ssQ/nSCY23Hk1xRb2iQBAO\n6KEHfTDGGGNfsgQR0We+1sAYY4wxxhhjjLFnwkv3GWOMMcYYY4yxF4QDfcYYY4wxxhhj7AXhQJ8x\nxhhjjDHGGHtBONBnjDHGGGOMMcZeEA70GWOMMcYYY4yxF4QDfcYYY4wxxhhj7AXhQJ8xxhhjjDHG\nGHtBONBnjDHGGGOMMcZeEA70GWOMMcYYY4yxF4QDfcYYY4wxxhhj7AXhQJ8xxhhjjDHGGHtBONBn\njDHGGGOMMcZeEA70GWOMMcYYY4yxF4QDfcYYY4wxxhhj7AXhQJ8xxhhjjDHGGHtBONBnjDHGGGOM\nMcZeEA70GWOMMcYYY4yxF4QDfcYYY4wxxhhj7AXhQJ8xxhhjjDHGGHtBONBnjDHGGGOMMcZeEA70\nGWOMMcYYY4yxF4QDfcYYY4wxxhhj7AXhQJ8xxhhjjDHGGHtBONBnjDHGGGOMMcZeEA70GWOMMcYY\nY4yxF4QDfcYYY4wxxhhj7AXhQJ8xxhhjjDHGGHtBONBnjDHGGGOMMcZekP8PgrN1UQtl98QAAAAA\nSUVORK5CYII=\n"
    }
   },
   "cell_type": "markdown",
   "id": "89abce5c-c232-411a-b104-cc2bd2bd3522",
   "metadata": {},
   "source": [
    "![Screenshot from 2024-10-07 10-39-28.png](attachment:bba6f504-8cdd-4399-b9ee-d12d85c508d7.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "1c22a513-0351-4d2c-82c4-504f077b900d",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The thermal neutron equivalent dose is 3.720 rem\n",
      "The gamma ray equivalent dose is 4.100 rem\n",
      "The fast neutron equivalent dose is 2.850 rem\n",
      "The alpha particle equivalent dose is 7.600 rem\n",
      "\n",
      "=========FINAL ANSWER=========\n",
      "Question 2a:\n",
      "The largest biological effect would be caused by the alpha particles.\n",
      "=========FINAL ANSWER=========\n",
      "\n"
     ]
    }
   ],
   "source": [
    "thermal_neutron_dose = 1.86 * 2 #rem \n",
    "gamma_ray_dose = 4.10 * 1 #rem\n",
    "fast_neutron_dose = 0.38 * 7.5 #rem\n",
    "alpha_particle_dose = 0.76 * 10 #rem\n",
    "\n",
    "print(f'The thermal neutron equivalent dose is {thermal_neutron_dose:.3f} rem')\n",
    "print(f'The gamma ray equivalent dose is {gamma_ray_dose:.3f} rem')\n",
    "print(f'The fast neutron equivalent dose is {fast_neutron_dose:.3f} rem')\n",
    "print(f'The alpha particle equivalent dose is {alpha_particle_dose:.3f} rem')\n",
    "\n",
    "answer_print('Question 2a', 'The largest biological effect would be caused by the alpha particles.')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "2eded1a4-ad36-47f4-b634-037c157c20d1",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "=========FINAL ANSWER=========\n",
      "Question 2b:\n",
      "The total dose is 1.827e-01 sieverts.\n",
      "=========FINAL ANSWER=========\n",
      "\n"
     ]
    }
   ],
   "source": [
    "total_dose = thermal_neutron_dose + gamma_ray_dose + fast_neutron_dose + alpha_particle_dose\n",
    "\n",
    "answer_print('Question 2b', f'The total dose is {total_dose/100:.3e} sieverts.')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "12612512-63c0-468f-941e-209d21827ee9",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "=========FINAL ANSWER=========\n",
      "Question 2c:\n",
      "The total dose is 1.827e+01 rem.\n",
      "=========FINAL ANSWER=========\n",
      "\n"
     ]
    }
   ],
   "source": [
    "answer_print('Question 2c', f'The total dose is {total_dose:.3e} rem.')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f47e0c59-9ff4-41f0-8f17-cafff34f2a80",
   "metadata": {},
   "source": [
    "========FINAL ANSWER==========\n",
    "\n",
    "Question 2d:\n",
    "\n",
    "Yes, according to the NRC (https://www.nrc.gov/reading-rm/basic-ref/glossary/occupational-dose.html).\n",
    "The maximum occupational dose per year is 5 rem. This dose would be over three times that allowable amount.\n",
    "\n",
    "========FINAL ANSWER=========="
   ]
  },
  {
   "attachments": {
    "eb9efbb5-ddba-480a-913d-a3ab41ab8dfc.png": {
     "image/png": 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VbFaWW9N7/ER2lxTB0qxuHNe3Lbu0LYfTseXnpn3R/eBiA087spKFZFda15Y7Oz4eBhO3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g9GTgDceZh923PhrS7iJSgpHaVOB6U48NF179kmL0PT48Dc3MqCHmA+tPAeCeiPOnA9CANHeevz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KR2fKIYscKpXK+X9WwOgqeSuGRE0XS9eoVDQMy6XVPbuts19rY2vnHeuMftTCd21MQ0erVNAM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\nVrJ06+j35xvVLaqwVfcf+fzi2Pa2SpaOh82TzIsmrVB/Y+/O737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    }
   },
   "cell_type": "markdown",
   "id": "d109c2c6-48e7-4f38-b9df-110d9f1847b3",
   "metadata": {},
   "source": [
    "![Screenshot from 2024-10-07 10-41-18.png](attachment:eb9efbb5-ddba-480a-913d-a3ab41ab8dfc.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "2f9c5cdb-d0ca-4eb9-9b6f-a1c6617db5d1",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "=========FINAL ANSWER=========\n",
      "Question 3a:\n",
      "7.06700e-03 amu\n",
      "=========FINAL ANSWER=========\n",
      "\n",
      "\n",
      "=========FINAL ANSWER=========\n",
      "Question 3b:\n",
      "The kinetic energy is 6.58291e+00 MeV. \n",
      "This reaction releases energy.\n",
      "=========FINAL ANSWER=========\n",
      "\n",
      "\n",
      "=========FINAL ANSWER=========\n",
      "Question 3c:\n",
      "The difference is significant. Without electrons, the result is 7.60570e+00 MeV. \n",
      "There is 15.54% difference between the two answers.\n",
      "=========FINAL ANSWER=========\n",
      "\n"
     ]
    }
   ],
   "source": [
    "U238_mass = 238.0508 #amu\n",
    "Pu239_mass = 239.0513 #amu\n",
    "neutron_mass = 1.008665 #amu\n",
    "electron_mass = 0.000549 #amu\n",
    "\n",
    "# Part A\n",
    "products = 1*Pu239_mass + 2*electron_mass\n",
    "reactants = 1*U238_mass + 1*neutron_mass\n",
    "change_in_mass = reactants - products\n",
    "\n",
    "answer_print('Question 3a', f'{change_in_mass:.5e} amu')\n",
    "\n",
    "# Part B\n",
    "Q = change_in_mass * 931.5 #MeV\n",
    "answer_print('Question 3b', f'The kinetic energy is {Q:.5e} MeV. \\nThis reaction releases energy.')\n",
    "\n",
    "# Part C\n",
    "new_change_in_mass = reactants - 1*Pu239_mass #amu\n",
    "new_Q = new_change_in_mass * 931.5 #MeV\n",
    "percent_difference = (new_Q - Q)/Q *100\n",
    "\n",
    "answer_print('Question 3c', f'The difference is significant. Without electrons, the result is {new_Q:.5e} MeV. \\nThere is {percent_difference:.2f}% difference between the two answers.')\n"
   ]
  },
  {
   "attachments": {
    "11597afc-4112-406d-82ea-a6996101b6cb.png": {
     "image/png": 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uvSMTXfpcHuQg2+/28LwpUitmqQ3PttsjE/Wej5hdjCZYqTRo7+9QM21wKix6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\nCCGEEOIJkUBfCCGEEEIIIYR4Qv5/vmn0AnGuSNIAAAAASUVORK5CYII=\n"
    }
   },
   "cell_type": "markdown",
   "id": "d601b1b8-e6cb-415e-a92e-1c38c721c8ae",
   "metadata": {},
   "source": [
    "![Screenshot from 2024-10-07 10-41-29.png](attachment:11597afc-4112-406d-82ea-a6996101b6cb.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "8d9faf3b-aac3-4a1f-9d07-464ea77d3290",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "=========FINAL ANSWER=========\n",
      "Question 4a:\n",
      "The atomic weight of the uranium is 237.6561 amu.\n",
      "=========FINAL ANSWER=========\n",
      "\n",
      "\n",
      "=========FINAL ANSWER=========\n",
      "Question 4b:\n",
      "The atomic density of U235 in UC is 5.7878e+21 atoms/cm^3.\n",
      "=========FINAL ANSWER=========\n",
      "\n"
     ]
    }
   ],
   "source": [
    "#Assuming other uranium isotopes in trace quantities...\n",
    "U235_mass = 235.9439 #amu\n",
    "enrichment = 18.6\n",
    "UC_density =12.9 #g/cm^3\n",
    "\n",
    "# Part A\n",
    "A_U = 1/(1/100*(enrichment/U235_mass + (100-enrichment)/U238_mass))\n",
    "answer_print('Question 4a', f'The atomic weight of the uranium is {A_U:.4f} amu.')\n",
    "\n",
    "# Part B\n",
    "C12_mass = 12 #amu\n",
    "\n",
    "# Calculate molecule mass\n",
    "A_UC = A_U + C12_mass\n",
    "\n",
    "# Find weight percent U235\n",
    "w_o_U235 = U235_mass/A_UC*100\n",
    "\n",
    "# Find density of U235 component\n",
    "U235_density = w_o_U235*UC_density/100\n",
    "\n",
    "# Calculate atomic density\n",
    "N_U235 = enrichment/100*U235_density*6.0221409e23/U235_mass\n",
    "\n",
    "answer_print('Question 4b', f'The atomic density of U235 in UC is {N_U235:.4e} atoms/cm^3.')\n"
   ]
  },
  {
   "attachments": {
    "c4484bb7-b7cc-4e8d-ac75-9193b7e417c8.png": {
     "image/png": 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PtqkffPuZNrvKUhBoT7ieED8YCfTFi+MLLxDv1DDNGs2aTR8vmh5ifn2LdCL0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\n"
    }
   },
   "cell_type": "markdown",
   "id": "fa5b83cf-2ec6-4d2a-9969-22c8765a8a4c",
   "metadata": {},
   "source": [
    "![Screenshot from 2024-10-07 10-41-39.png](attachment:c4484bb7-b7cc-4e8d-ac75-9193b7e417c8.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "2612afc1-e0dc-4078-a792-b83e946af822",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "=========FINAL ANSWER=========\n",
      "Question 5a:\n",
      "Lithium-6 Binding Energy: 3.1995e+01 MeV\n",
      "Beryllium-9 Binding Energy: 8.4417e+03MeV\n",
      "Helium-4 Binding Energy: 2.8296e+01MeV\n",
      "=========FINAL ANSWER=========\n",
      "\n",
      "\n",
      "=========FINAL ANSWER=========\n",
      "Question 5b:\n",
      "8.3814e+03 MeV\n",
      "=========FINAL ANSWER=========\n",
      "\n"
     ]
    }
   ],
   "source": [
    "# Part A\n",
    "def binding_energy(Z, N, Mass):\n",
    "    H_mass = 1.007825032 #amu\n",
    "    neutron_mass = 1.00866491578 #amu\n",
    "    mass_defect = Z*H_mass + N*neutron_mass - Mass #amu\n",
    "    binding_energy = mass_defect * 931.5 #MeV\n",
    "    return binding_energy\n",
    "\n",
    "Li6_mass = 6.015122 #amu\n",
    "Be9_mass = 0.012183 #amu\n",
    "He4_mass = 4.002603 #amu\n",
    "\n",
    "answer_print('Question 5a',\n",
    "             f'Lithium-6 Binding Energy: {binding_energy(3, 3, Li6_mass):.4e} MeV\\n'+\n",
    "             f'Beryllium-9 Binding Energy: {binding_energy(4, 5, Be9_mass):.4e}MeV\\n'+\n",
    "             f'Helium-4 Binding Energy: {binding_energy(2, 2, He4_mass):.4e}MeV')\n",
    "\n",
    "# Part B\n",
    "reactants = binding_energy(3, 3, Li6_mass) + binding_energy(2, 2, He4_mass)\n",
    "products = binding_energy(4, 5, Be9_mass)\n",
    "Q = products - reactants\n",
    "\n",
    "answer_print('Question 5b', f'{Q:.4e} MeV')\n"
   ]
  },
  {
   "attachments": {
    "8e28c362-fbb6-4270-950f-0644c54d7858.png": {
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7yKt02Kd7nmWZGVUjGMmRDjqh2+GWn5WxB+quHIwRUkzqmzkqpy5CseDT+tee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\nOfU0yHAxb8yj1Dt0Om3aHQ9GbhzQRwwPlWaNjr9HV5knMX+WhopHBY4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+MV0/vI86u6kM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\nRU5ErkJggg==\n"
    }
   },
   "cell_type": "markdown",
   "id": "1362952b-e6ec-4034-b66e-6807c8e92773",
   "metadata": {},
   "source": [
    "![Screenshot from 2024-10-07 10-41-57.png](attachment:8e28c362-fbb6-4270-950f-0644c54d7858.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "6ba0ed78-d681-49d6-a662-9548abd61e22",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Part A\n",
    "Phi_times_Sigma_f = 3.9e13 #fission/cm^3/s\n",
    "E_r = 200 * 1.60218e-13 #J/fission\n",
    "a = 40 #cm"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "80ce855c-127a-4cdd-93b8-dddb5531c1e6",
   "metadata": {},
   "source": [
    "$$\\phi(8) = \\frac{P \\pi}{2a E_r \\Sigma_f} \\cos\\left(\\frac{\\pi 8}{40}\\right)$$\n",
    "\n",
    "$$\\frac{ \\phi(8) \\Sigma_f E_r 2 a}{\\pi \\cos \\left( \\frac{\\pi 8}{40} \\right)} = P$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "24dbc2ce-fcf2-49d8-9a01-044c468bc223",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "=========FINAL ANSWER=========\n",
      "Question 6a:\n",
      "3.933584e+04 W/cm^2\n",
      "=========FINAL ANSWER=========\n",
      "\n"
     ]
    }
   ],
   "source": [
    "P = Phi_times_Sigma_f * E_r * 2 * a / np.pi / np.cos(np.pi*8/40)\n",
    "answer_print('Question 6a', f'{P:4e} W/cm^2')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f68df535-4c3a-4e1c-a413-98c8154eb041",
   "metadata": {},
   "source": [
    "**Part B**\n",
    "$$ \\phi(20) \\Sigma_f = \\frac{P \\pi}{2a E_r} \\cos \\left( \\frac{\\pi}{2} \\right) $$\n",
    "$$ \\phi(20) \\Sigma_f = \\frac{P \\pi}{2a E_r} \\times 0 $$\n",
    "\n",
    "\n",
    "========FINAL ANSWER==========\n",
    "\n",
    "$\\phi(20) \\Sigma_f =  0$\n",
    "\n",
    "========FINAL ANSWER==========\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "dd015a5c-da4d-446d-81a9-67bcff242a1f",
   "metadata": {},
   "source": [
    "**Part C**\n",
    "\n",
    "$$P(x) = \\phi(x) \\Sigma_f E_r = \\frac{P \\pi}{2a E_r} \\cos \\left( \\frac{\\pi x}{a} \\right) \\times E_r $$\n",
    "$$P(x) = \\frac{P \\pi}{2a} \\cos \\left( \\frac{\\pi x}{a} \\right) $$\n",
    "\n",
    "========FINAL ANSWER==========\n",
    "\n",
    "$P(x) = \\frac{P \\pi}{2a} \\cos \\left( \\frac{\\pi x}{a} \\right) $\n",
    "\n",
    "where\n",
    "\n",
    "$P = 3933.6 \\frac{\\text{W}}{\\text{cm}^2}$\n",
    "\n",
    "$a = 40 \\text{cm}$\n",
    "\n",
    "$E_r =  200 \\text{MeV} \\times  1.60218\\times 10^{-13} \\frac{\\text{J}}{\\text{MeV}}$\n",
    "\n",
    "========FINAL ANSWER=========="
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8166199c-3072-429c-85da-4fd93e06bb11",
   "metadata": {},
   "source": [
    "**Part D**\n",
    "\n",
    "\n",
    "========FINAL ANSWER==========\n",
    "\n",
    "I should get the value I obtained in Part A!\n",
    "\n",
    "========FINAL ANSWER=========="
   ]
  },
  {
   "attachments": {
    "35549a7a-ac6d-402c-bce6-1fb29f3a0e9e.png": {
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Td8WyTKZpRijbPV0b26Z9bNs2oZPDKEFIUnuXXp/3qRgLLsZRIRShWDxJ2eIRtY9XdWxv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\nPeG/Lz8DVy4mt7n+Ox0MLoI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Cbd7jQZb/PxNRQ87WHrsUT4d7y1OCkbdhPGhhDNTGY4hL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\nh3QawnVDxHGMMIhx+wZwY77YeEyhWmg9LeP0T02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    }
   },
   "cell_type": "markdown",
   "id": "adee7166-56aa-47d5-b3fd-ef2e1656db0c",
   "metadata": {},
   "source": [
    "![Screenshot from 2024-10-07 10-42-09.png](attachment:35549a7a-ac6d-402c-bce6-1fb29f3a0e9e.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "e669dab3-ef9a-460e-8fbc-9a99bbad623b",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Sodium-22 Activty: 4.183e+10 decay/s\n",
      "Strontium-90 Activty: 3.928e+08 decay/s\n",
      "\n",
      "=========FINAL ANSWER=========\n",
      "Question 7:\n",
      "The sodium sample has higher activity.\n",
      "It has 4.183e+10 decays/second compared to the Strontium sample's 3.928e+08 decays/second.\n",
      "=========FINAL ANSWER=========\n",
      "\n"
     ]
    }
   ],
   "source": [
    "\"\"\"\n",
    "Data pulled from https://www-nds.iaea.org/relnsd/vcharthtml/VChartHTML.html\n",
    "\"\"\"\n",
    "Na22_mass = 18.1 #g\n",
    "Na22_half_life = 8_210_481_069_425 #s, beta decay\n",
    "Na22_lambda = 0.693/Na22_half_life #decay/nuclei/s\n",
    "Na22_N = Na22_mass*6.022141e23 / 21994437.55e-6 #nuclei\n",
    "Na22_activity = Na22_lambda * Na22_N #decay/s\n",
    "\n",
    "Sr90_mass = 77.2 #g\n",
    "Sr90_half_life = 912_310_730_946_708 #s, beta decay\n",
    "Sr90_lambda = 0.693/Sr90_half_life #decay/nuclei/s\n",
    "Sr90_N = Sr90_mass*6.022141e23 / 89907727e-6 #nuclei\n",
    "Sr90_activity = Sr90_lambda * Sr90_N #decay/s\n",
    "\n",
    "print(f'Sodium-22 Activty: {Na22_activity:.3e} decay/s')\n",
    "print(f'Strontium-90 Activty: {Sr90_activity:.3e} decay/s')\n",
    "\n",
    "answer_print('Question 7',f'The sodium sample has higher activity.\\nIt has {Na22_activity:.3e} decays/second compared to the Strontium sample\\'s {Sr90_activity:.3e} decays/second.')"
   ]
  },
  {
   "attachments": {
    "cded4647-fbb4-409b-8c3b-f070b55060f3.png": {
     "image/png": 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10cPo6CwhNOxzuPZO9NV0dMzid47TejmEo7EKsxEiQT/e2Rl8hT0sDGxGZKwx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OFtBr1Hk1XmOv36NqXd857K3e4n3xpGEY8HFErGfJWvcUXr77ahV7BPMrMaMhI8C8/+n3EzGR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\n2PNxtG9goQAAAABJRU5ErkJggg==\n"
    }
   },
   "cell_type": "markdown",
   "id": "871f5731-35da-4fa6-aadf-782257d35537",
   "metadata": {},
   "source": [
    "![Screenshot from 2024-10-07 10-42-23.png](attachment:cded4647-fbb4-409b-8c3b-f070b55060f3.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "f3570a43-0a14-44c4-9237-e3e1f595535d",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "=========FINAL ANSWER=========\n",
      "Question 8a:\n",
      "The atomic density of Pu239 in this reactor is 3.3757e+22 atoms/cm^3.\n",
      "=========FINAL ANSWER=========\n",
      "\n",
      "\n",
      "=========FINAL ANSWER=========\n",
      "Question 8b:\n",
      "6.940e-02 1/cm^2\n",
      "=========FINAL ANSWER=========\n",
      "\n"
     ]
    }
   ],
   "source": [
    "Pu239_density = 13.4 #g/cm^3\n",
    "v = 2.88\n",
    "sigma_f = 1.8e-24 #cm^2\n",
    "sigma_a = 2.1e-24 #cm^2\n",
    "D = 1.5 #cm\n",
    "\n",
    "# Part A\n",
    "N_Pu239 = 100/100*Pu239_density*6.0221409e23/Pu239_mass\n",
    "answer_print('Question 8a', f'The atomic density of Pu239 in this reactor is {N_Pu239:.4e} atoms/cm^3.')\n",
    "\n",
    "# Part B\n",
    "Sigma_f = sigma_f*N_Pu239 #1/cm\n",
    "Sigma_a = sigma_a*N_Pu239 #1/cm\n",
    "B_m_squared = (v*Sigma_f - Sigma_a)/D \n",
    "answer_print('Question 8b', f'{B_m_squared:.3e} 1/cm^2')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d1f1ccd1-c3d5-4148-8bdc-98c217239698",
   "metadata": {},
   "source": [
    "**Part C:**\n",
    "\n",
    "For K = 1, $B_g^2 = B_m^2$:\n",
    "$$ \\left( \\frac{\\pi}{R} \\right)^2 = \\frac{v \\Sigma_f - \\Sigma_a}{D} $$\n",
    "$$ \\left( \\frac{\\pi}{R} \\right) = \\sqrt{ \\frac{v \\Sigma_f - \\Sigma_a}{D} }$$\n",
    "$$ R = \\frac{\\pi} {\\sqrt{ \\frac{v \\Sigma_f - \\Sigma_a}{D} }}$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "31086745-dd3a-401a-b4f4-a65b4e6214d0",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "=========FINAL ANSWER=========\n",
      "Question 8c:\n",
      "1.192e+01 cm\n",
      "=========FINAL ANSWER=========\n",
      "\n",
      "\n",
      "=========FINAL ANSWER=========\n",
      "Question 8d:\n",
      "9.518e+04 kg\n",
      "=========FINAL ANSWER=========\n",
      "\n"
     ]
    }
   ],
   "source": [
    "R = np.pi/(B_m_squared)**(1/2)\n",
    "answer_print('Question 8c', f'{R:.3e} cm')\n",
    "\n",
    "# Part D\n",
    "critical_mass = Pu239_density*(4/3*np.pi*R**3)\n",
    "answer_print('Question 8d', f'{critical_mass:.3e} kg')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5e3c047b-ada8-4893-b670-00bca9e02741",
   "metadata": {},
   "source": [
    "========FINAL ANSWER==========\n",
    "\n",
    "**Part E**\n",
    "\n",
    "If radius decreases:\n",
    "1. Mateiral buckling will **stay the same**.\n",
    "2. Geometric buckling will **increase**.\n",
    "3. Multiplication factor will **decrease**. \n",
    "\n",
    "========FINAL ANSWER=========="
   ]
  },
  {
   "attachments": {
    "c4932019-fecd-47c5-a7e3-54150a2f6d67.png": {
     "image/png": 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Vp5Ab+rPzAqwenf6YEB0a3Vlqdh+ZN+FpR7iyQqZ/zM+VM+CMVrNHauVhIyGHP81ObPps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\nmWhafPJpUa7Jr5OMR5sE9/7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    }
   },
   "cell_type": "markdown",
   "id": "66bccba6-afdc-49da-81ce-34c5b6ee738a",
   "metadata": {},
   "source": [
    "![Screenshot from 2024-10-07 10-42-36.png](attachment:c4932019-fecd-47c5-a7e3-54150a2f6d67.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "c0c96c53-4ef8-4367-9d7c-0d9688aff15d",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "=========FINAL ANSWER=========\n",
      "Question 9:\n",
      "My calculated value for elemental mass of tin is 118.71011.\n",
      "The periodic table value is 118.71000.\n",
      "That is a 0.00010% error.\n",
      "=========FINAL ANSWER=========\n",
      "\n"
     ]
    }
   ],
   "source": [
    "\"\"\"\n",
    "Here is where I found a list of isotope abuncance and masses:\n",
    "https://en.wikipedia.org/wiki/Isotopes_of_tin\n",
    "\"\"\"\n",
    "tin_stats = np.array([\n",
    "    [112, 114, 115, 116, 117, 118, 119, 120, 122, 124], #Number\n",
    "    [111.9048249, 113.90278013, 114.903344695, 115.90174283, 116.90295404, 117.90160663, 118.90331127, 119.90220256, 121.9034455, 123.9052796], # atomic mass (amu)\n",
    "    [0.0097, 0.0066, 0.0034, 0.1454, 0.0768, 0.2422, 0.0859, 0.3258, 0.0463, 0.0579] # Abundance\n",
    "])\n",
    "\n",
    "tin_elemental_mass = np.sum(tin_stats[1,:]*tin_stats[2,:])\n",
    "\n",
    "\"\"\"\n",
    "For a periodic table, I am using the result when you just Google 'Periodic table'.\n",
    "https://www.google.com/search?kgmid=%2Fm%2F05rbs&hl=en-US&q=Periodic%20table&shndl=17&source=sh%2Fx%2Fkp%2Fosrp%2Fm5%2F1&kgs=91de64a89fb9bd4b\n",
    "\"\"\"\n",
    "tin_perioic_table = 118.71 #amu\n",
    "\n",
    "answer_print('Question 9', f'My calculated value for elemental mass of tin is {tin_elemental_mass:.5f}.\\nThe periodic table value is {tin_perioic_table:.5f}.\\nThat is a {(tin_elemental_mass-tin_perioic_table)/tin_perioic_table*100:.5f}% error.')"
   ]
  },
  {
   "attachments": {
    "4746ba32-86ce-4623-8715-3aae365e20d8.png": {
     "image/png": 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8+JwG4ZUmdT1N9vTpR0KNFHif1m7v0JKdeFxOJEBRNc6vFjlu6DsCbO6eWdca0SDyE5X2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Ii2F4oFOjcqHghhwdDb+PfntC36x+XWfSujdpnzTJ78sd6vFMLMYsLcq7Jcr7NrPx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\nQgghxAPy/wMPIkhWzIV4PQAAAABJRU5ErkJggg==\n"
    }
   },
   "cell_type": "markdown",
   "id": "ff57ffed-e024-41dc-b09a-221beaf9293f",
   "metadata": {},
   "source": [
    "![Screenshot from 2024-10-07 10-42-48.png](attachment:4746ba32-86ce-4623-8715-3aae365e20d8.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "481593ef-6dee-4507-a8ba-c902b56cbad7",
   "metadata": {},
   "source": [
    "| Question | True / False |\n",
    "| ------- | -------|\n",
    "| 10A | False |\n",
    "| 10B | True |\n",
    "| 10C | False |\n",
    "| 10D | True |\n",
    "| 10E | True |\n",
    "| 10F | True |\n",
    "| 10G | True |\n",
    "| 10H | False |\n",
    "| 10I | True |\n",
    "| 10J | True |"
   ]
  }
 ],
 "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": "3.12.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
