Quant finance and Algo trading - Derivatives pricing - Black-Scholes Model simple implementation.ipynb

{
 "cells": [
  {
   "attachments": {
    "image.png": {
     "image/png": "iVBORw0KGgoAAAANSUhEUgAABREAAALFCAYAAABUCqSoAAAgAElEQVR4Aey9C/AlRXn/PbALy3LbBUQSxBUE3tKoBQiiZcC4WoqKMWx5QSMxWJgo6KtgVBRJIfVXImBEjeAlWpKKEVCrIKUgaMXVF2NFxQjlBeoPKxcJBgV2WWBhue1b34PP4Tn965numTNzzpnz+3TVqbl1P/30py8z/Zy+bLVly5YtBQ4CEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAQAmBrUvucxsCEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAwIAARkQKAgQgAAEIQAACEIAABCAAAQhAAAIQgAAEIFBJACNiJR4eQgACEIAABCAAAQhAAAIQgAAEIAABCEAAAhgRKQMQgAAEIAABCEAAAhCAAAQgAAEIQAACEIBAJQGMiJV4eAgBCEAAAhCAAAQgAAEIQAACEIAABCAAAQhgRKQMQAACEIAABCAAAQhAAAIQgAAEIAABCEAAApUEMCJW4uEhBCAAAQhAAAIQgAAEIAABCEAAAhCAAAQggBGRMgABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhUEsCIWImHhxCAAAQgAAEIQAACEIAABCAAAQhAAAIQgABGRMoABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgUEkAI2IlHh5CAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACGBEpAxCAAAQgAAEIQAACEIAABCAAAQhAAAIQgEAlAYyIlXh4CAEIQAACEIAABCAAAQhAAAIQgAAEIAABCGBEpAxAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAAClQQwIlbi4SEEIAABCEAAAhCAAAQgAAEIQAACEIAABCCAEZEyAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCFQSwIhYiYeHEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAEZEygAEIAABCEAAAhCAAAQgAAEIQAACEIAABCBQSQAjYiUeHkIAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIYESkDEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAQCWBpZVPF9HD7/3+weL6ex8ufr/50UGqT3najoso9d0n9Y7Njxa/2PjwgPGt9z9S7LV8SfE3+2zffcTEMHMEVBZ+tP7B4sb7HhnUN8pCvSz6v/c+XFyz4eHi9s2PFL+5/5Hi5XtsV7xw923rCcE3BCBQSWAxtFNXrX+ouPaeh4vfbX60+M2mR4pPHLBzJRMeQgACEIAABCAAAQhAYFEaEUOD1s2bHhkpCU/ZfsnINRf1CfgOmAwdtz/wmHHWJMlwtNicjD8/uuuhQYdt40OPFmG5E4+V22xdrNhmq2LnbbYunrhs6+LJy5f03kBkRq9b7n+k+N1mykLdcq+Ovgyu4qeO/oaHRutSXXn4hwAEFhKwdsqM8/P4ztKfpXofqx1Re/LAI1sWguAOBCAAAQhAAAIQgAAEKgi0bkS0EX0bH95SyFASursf2pLsBJsRT4amPZdvXTx3l22LJyxrb+b1xbc9UPznnQ+GqnHdIoF/Wndf1EjWYhS9EaU6sfb3m7N4yEC04SEl7XHD9oW33l/sv+PS4s//eFnx/+zYepXtnOMZ193beRzzHMGn1903z8mb+7R97dYHikv/94GRdL74icuKv1q1fOTeOBf60+Y9P984IkLv0dP/ZKeRe1yUE5j3dkrvofNv3lQOgCcQgAAEIAABCEAAAhDIINC6RUJTgsc10NkILTuqEybjyQErlxZH/tF2GcnCCwSmT0Ad+8/fuKnQCJdxnEaL/Pzuhwa/Z63YpvjrVctbNaqPoxthIQCBagIa2Ra6X2zUPwXtGRHX/n7hn2L2/gzj5hoCEIAABCAAAQhAAAIQgEBTAu0N72uqQWY4GWJkTDz5FxsLTe/DQWCWCaiMfvi6e8c2IIZplDFRI2lxEIBAPwjYOrteW02V1Z8MbTlNTY053pUxKtyDAAQgAAEIQAACEIAABJoS6I0R0RKozpem9/3rLffbLY4QmCkC6rh/4aZNyWn7TZX+MzbRaIqOcBCYOIGyEYGx0YNNldMMgJjTWpo4CEAAAhCAAAQgAAEIQAACbRHonRHREv4fv9s8MCbaNUcIzAIBjS6SAbGrBev32G7rXq6LOAt5gw4QmDSBqpGAZYa/ujpqvcWy9iY2lbqufPxDAAIQgAAEIAABCEAAAhAwAr01IioB6qCFC9ZbwjhCYBoEtAZiWYe+DX2eufM2bYhBBgQgMAECVSMBtURHG1Oaq+KITaWeQLKJAgIQgAAEIAABCEAAAhCYUwKtb6wyaU7f+O3m1ndvnnQaiG8+CGj3y9xNVLRz6n47Li2evHzJMPHq8Gvk0G/uf6TQtP2Ye+6uGBFjXLgHgVkkkBoJqCnNr91rvM3Cbri3fMpy2VTqWWSFThCAAAQgAAEIQAACEIDA7BOYihHxxU9cNmI88ZhkQPnd5kcLTfXKGdElP9+6fXPxV6va2+nS68M5BHIJ/HRDesOf7ZZsVfz5Hy9L7jIuY+T3f/9gIZlWD7RDuX44CECgHwRSIwHLNkTJTZ1G4294KP6Hg8mQn0N24c8H48ERAhCAAAQgAAEIQAACEGhOYCoWiVyDnzZP+c87HxwaUcqS+YuNMt5gRCzjw/3JENDOySn3+r2WFy/M2BjFDIZrNj862I1Z9WB/DIgpvDyHwEwRSI0EHHddxJ9l/HGh6c4YEWeqWKAMBCAAAQhAAAIQgAAEektgptdElLFRRpeU09TPNtaWSsXDcwiUEdBU5pR71optsgyIXs4Tlm1d/M0+2xfv2HeHYnWG8dGH5RwCEJgegapNVUwrjTIeZ13fG+6L78ps8nVMTan2fjmHAAQgAAEIQAACEIAABCBQRWCmjYhSXKO2cqZw/mJjujNVBYJnEBiHgKbhp9zTdnp8/cOU3/C5RhLJoIiDAAT6QaBqwxOfguvuSbcd3r+da8mDsrVTzY+OqSnV3i/nEIAABCAAAQhAAAIQgAAEqgj0wirBNM6qLOTZLBCwdQurdNlhSS+qW1USeAYBCGQSyB0B+JtNzYyIP7orvXyCVE1Nqc5MDt4gAAEIQAACEIAABCAAAQgUvbBq7M4ILIoqBCAAAQj0iEDuCEBtjJIz9TlMeh3jYxP5YXxcQwACEIAABCAAAQhAAAIQmMrGKvOMXVPMrtnw8GAdKnUiH3h0S3TK2cptti5WbLNVIQPpHsuWFAesnOzOu1rDT4v6S8fNj26JjlZ5yvZLimVbb1U8efslxdN3Wjq1xfnF9OPX35fcYGeP7bYu3rv/jjM77TfXqDDp+jFLZUFrm679/YOFdq3d+NCjC8qldrfeY9nWg3qzzw5Lkrtct8XSGN16/yPROh3WZ61f2dfp51qjT1NxVV5vVxv2yJYRjNYuqO06aOU2nbQLqXIghUyPabdPI3DcRZ0RgP9114O1OIqP2sVc1/bmKor/R+sfHJaTux/asmCXaLXH2229VbHX8iXFnsu3nlhdFRNfX2O6qezsvM3WxarlSwZrzU6yrsqgqw1x1JbEdJsmt9zyhD8IQAACEIAABCAAgcVLoBdGxJwdLNVJmZZTh+pbt28utEt0zhpV0lOjT7Sx5mMdzYeKS/+3KNR5OGTltsVr99quk6SoY/XTDQ8NjIehYSAWoXWC1Vn9j99t7ly/mA5i+8WbNi0wZIR+ZVx67ZOWT81wk1P+tMNyV3kb8khdz1pZUD5ffNsDg/JZVTb1TOVSP3XGv/HbzcXBK7cp1uy5Xet5bzr9cuPDCwwkId+F9fmBwVquz99t29qb6YSyJ3GtOi6Wamur+EuXx9uFolCZlgH1GTsvbSUPTI+cnc4f1+Ox9kl67LfjkuKleyzLWke3S651R/7dcG+9Kc0ytNdxuVOrUzItf3LKib0LLZ9UvrQ0yZ//cTf5U6e+PqbTI4XKmYzm2vSqS1dHt0lz6zLdyIYABCAAAQhAAAIQmD8CvTAipnagVOcxZ/OVrrLvwlvvbzQdLdRHnQd1aNQxP2bV8lojU0JZ/voxY8sDw86/f1bn3Ov3kj22ncjIkn9ad1/SMCsD4lv23r41XnWYmF+NJk05GZr++cZNg92WU367ej6LZUEj3j583b1JQ12MiQxeqi8yjss4ceQftWOA/9db7h/ITRnUYjrZPRlc9PvhnQ8Wr9lru6m2UaZTeJRxY9z2S+Xa8kAGXe0m3sR9et19Y7Wj0uOq9Y9NDdZGRNrRfFoud1MV00+6q6zkvsc0UreOy9n4qUpeG+VEdUlGO/3+dLdtWzE6m85fu/WB4j9+vzlpADf/4THHaB2Gyb0ety3x3GTs/OtV0/uzLDfN+IMABCAAAQhAAAIQmF8CM29E1Ae4/TNflg3qkEzTPXPnbcbq/Ia6q0OpDrUMIuOOXJPRSh38Np30U6ftrge3FH+1anmbokdk/eP192UZPmU8ktFgmk7xy5gtNlVOeSF/4+ZrVRxlz2a1LMh4Mq5TR1tlctPDxVhsZSz5/I2bak0VTemu9Gk6/uv3Wj5ToxJlUP7yLfcny2wqffZceaDyrT996i4roLrepiFnxTbTG5kuHk1G/mmjlFwjYs7ofMuXgT4PVLdL3m94rnLytf9Jv4fDcFXXVk6O23v77DTH5Km+/sst97dadmLxNLkn3fQnmI3EbCIjDKM6cuqvHp76n2ahXlxDAAIQgAAEIAABCCweAtPtaSU4y+ihabRVTlOAp2GQ8Tq9cPdujJgalahpp02cOjCn/eqe1g2IpotG/718j2V22fpRxuMco4IMrW2NPhs3EZpKmeOUrzKaTMr1vSzU4SS2MiY2ceJ09vX3tmpAND1kYDv/5k2NdTM5bR3F6As3bWrNgOj10p8+p/7qnuw/VvSHSU5d93Gkzp+763T/VGiy/qmWw8hxKuMqT3Vdk3eJDIgqJ6k/8urqIv+SKeO64mjirL62XXaa6BKGUZo0urpNA6LFobxXnWnazpkcjhCAAAQgAAEIQAACEGhCYKaMiBqxo46OPpBPvGZj0gBm6+A1SXjbYXJHkNSN95LbHijUWarjrHPVRQfG9NC0xa4Wo1fnKGU8lh4agTptA7Lx0FFrseU6dXxP/sXGxh3o3Hj6XhZy0+n9aVpj3dGNxqkLY4nXTQagpkYTL2ecc9Wvpoao3Hhl6JDxKdV2iUXbPNQWd9Ue56a/SdurspdTbutOlTad605pVr4oD5sYLC3O1FGyNRo2VU5COZOqr2G8OdfGLTUqPUdWlR/V4SaG4SqZPIMABCAAAQhAAAIQgECKwFSmMx971YaUXsnns7AOnldSO4TmdAB9mJxzdUS04USddcY0HbNLY4im42ojiy6cOmAyAqWc1oaqwyQlr43nMlxoWnOuUUR5JIN52+uD+bT0uSz4dNQ5l2Hi3265vzj9T3bKDqYpkXXqjOqAdleXK9uBvSxyGWb23n6nzozwZfHqvsqmjA+TcMoHjew885k7l0b3/TvyRlqLt0b6ard4c2W722rzjmm63Pof0zFnSnPdTVgsnt/V+DNKRjpNYa5jQLRdhRVfbNdh0yM86h2nab9d1tcwzq6uxU1G0TrcxtFF65lqU69pG83HSQNhIQABCEAAAhCAAAT6RWC6va2GrPTB/Lf7bD+VTniZypo+p9FzMm6uWr6kkFHxycuXRD/w1cnUaBItjp8zFUu7w+Y6TQHPNWZK12fuvLTYZ4clg10zfUfE6xjuxCmjVxejEKV3zsiXp2y/pPi7/ae3aUJVXmjdO434qWOQ0vpg2hjkxbsva3VkZR/LgsqkjEBP22lJ8dxdHi9nKo/X3vNw8dP1D2VNwdVIMJUnX6bL8k1GtZx6KN00AvfPdt92gVwZD7RjrvIyNQJJBgYZLSddhs3AUcbB35dBSGu9qg3zyzVIxi82PjzYiV7HlLFE9UDlsMzg/5tN6Q1CXvzEZZVrr6psyBipPFQeTXt0ctORguKf4qG0psqXz0d//rvNadbmX8apnDZMxl29D1bv/nhdNRmqf9///WNtW6qcqL5qhGxO3slfTn2VHr49Ubvi2wON4tMU8pxybGlKHfWnTU7+mFFcdUzvYP8+lV56h+S0deJa9w+TVBp4DgEIQAACEIAABCAAgSoCvTMiyoA0awZEAVbnRGvzxTpTYQZotJptBKKO1hcTa06pU6LOo4UJ5dm1ZMmIkeNSo9+8jjIc2A6u4p/T0cvRwftRHOKQ6mzKuPH/TnHXVa9z7Fydwdc+aXmWMdSHV7plzFL+KW/GZdzHsqA6VFa3rTxqHc7cjRS+ffvmEaOB5+3Pv3N7us6o3FVtAjHI970e2wgpZ5MQGUGUR96o4XXq4lx1OGXgkNGlapdrpVNGRf18u1ClrwzkazY/OmIoMf8pfcQ9tXmTlQ3x1Ei+absmm6qYzkqDuHqjkj3T8WcbmqcvxyioOKSD3jcpl9opWGVbP+W9RqSm4lfbl2r3xCZnpLp0V7nQnzplLOuW4xQPtd9il3Jq38uM6gprRnuV+5ydnWWAleHRwqXi5zkEIAABCEAAAhCAAATGITBTayLmJEQfzO/5+cbBxhTqUMySUweorMNSpqc6WdrJVCMTqlxO5/Ebv01PA1YcMnaqE5Orq/y9Y98dimOfsn2xevf8df+q0hM+03S2VCdTjOru+hrGM4lrdV7fsvf2hQwgdZ2MKuqMak1QHZu6vpUFlclTnrZjskyqLGoEnwwYKZezBpxGNaUMWTKsqdzlGvykX47f3DxKpTPneY5hSOlUuc3dqMjaBY0UrHIykGtJhiZuvx3y/+cS85TBsYkOdcOkNlUR5yqnEa1lTjtfV7mU7Jw19HLKpY0Gz3mHyE/OO071UPWxyqkcpf5oUniVYb2zcvWT33Fdzp8R9u7NjUvlWXUy5dZmLAGSksFzCEAAAhCAAAQgAAEI5BCob+XIkToBPxrJox1AxzG0TEDNrCjU0dHohCqX6pjKSJAzxUudmNRojzI9bORG2fOm9zVyS8bhKqfO8TGrykeVVIWdxjMZEtVx1rGJsw61dtjOGd3i4+hbWRCjumVShrqU4T1llBaznJG7VaOZPHd//pq9thtMpfT3wnMtEzApl2MY0gjEJuVVhg4ZlapcnSUZvJyND9ffhdiHn8Z5qi1LtfVl5UL1uqpM60+L1HqQKcN6TtuhtrjuaHC9416yR/U7TnlVlnbLR41qTTkZteu2JymZqec5f0Y0aecUr8KlyozKXN33RCpNPIcABCAAAQhAAAIQgECMQG+NiEqMRiTo4z01eiGW8Fm7p3UJq1xqUXxN3Uw5jdSZdOcqpZPWS0sZP9Vp1WiMJgaOVPxdPlfH2UZwpgxeZXqoc/jx6++rZSzvW1nwm2WUcYjdPzjDQFs1LTNnfTkZx5pME1RdSxl01H7ljAyLpb3OPY3YThlnlM7cEYixuA/dtdpYLqN4LC9S9UJtQyxcTIdZuJejq9bPrRqlrLVyYy41VVvr6+28tHqUY+o9kopDemld0JwRfmEaVL5S+V1lCNN7PjUKUeV4GqNRtbZildM7TH9GNHU5G5nl5F3T+AkHAQhAAAIQgAAEIAABI5A/V8xCtHCs+lddI+42P7olOTLNq2GjEWfNQKbOuxZtVwfe0nX75kcXdITU8dk5MZ05NeUyNcJEvDQ6apacOoU5I8G04ci4BkSN6EuNEMphc/4hK3O8jfixEZw561uNBPzDhRnLNz1cZBmB+1gWYulO3Xv6TksHmxlV+bu3YiSbNmpJORlmmjoZW1IGcrUNTYyUdXT60foHF7Q5Yfhx0ilZMhBptGOVkUcbjoT1WBtQbbi7elkKbbZ07T3bTsU4FHJKXac2VZExSQZm8b79gfgfP2Kod1po1E1tuiLj5G33P1rZpqY2V0nFofRrY6Gm7hk7L63UT3LL1vcrM656XbpabsPHEZ7rPZ96t+gPhSaGV4tLYVVuqoysKQOxyeIIAQhAAAIQgAAEIACBcQhMxYhYtai4T4xGddium/5+7FydLo3mCzupMb9d35NxTMaBqg9+r8NjHZD46BPvT52VWEdE96umuUmGRr6oEzIrTkbVHAOi8nPWjMNNGWqEjDYG0bpempZXZXCJxZFjLO9jWYilNefeuHU9x2CijZKaOhkHz795U2XwW0tGnVUGqvkwZdiSuDbq2B7Ltq40psT+CNEU6pShVfVEO99rt1r9AZWzeVVNRK15T22qIkZyageUpjJ33T2PFEf+0eNPVa+r3if6I0rt+67bVBtkU++JlKFu3PeIjGmpdr/MsJ6qrxrl2LVB/vEcefxMRvqU0x8K47rdl21d/N97y6VsfKg678tD8gQCEIAABCAAAQhAAAL5BGbHqhTRWUYC/dR5Su1grODf+O0DUzUiysijxdVjneVI8mrf0qjGWCdJ91OuzgYFKVltPK/qEHv5N9z7SOVupd5vH85lBJYRXTuWypiY6lCHaUoZy/tYFsI0Tur67oerO90ymMSM9nX0k3GnapTS3Q91v+Zfaj1VpefYqzbUSVYjv7H1DWX4UhufMw1Y7arKv3bnfebOS4uX7rFspv4YEZQU672WP7ZsRWpkmQxp3lVttiJ/NpJUcmVMq3oHlY30k6Ey9cfGk/+gv9etznmOYT1WTqRbVZqkg0a1TsNp9GfK6c+E1B8KKRmp55NoS1I68BwCEIAABCAAAQhAYP4J9GJNRHU0tUmFpoJVOXXWJ7HGWKiDOjhnXHfvYG3GVEcnDNvGddjhjMlMrc8WCzML98TzwlvvnwVVWtXBjInakbjuCNGv/U85j3kuC61mQFEkR+9ut3V1e9OGPpNoL7SEwiy4spFSWje0ao3AUHcZumR0VJurZQpmaU3cKoOx0rHn8sdfuVVtstLo32WpEYJ+xOwT/zDaMeRm12XLHeT8AdF0/VKLO+cYKyc5uqXSnRN3Ez8pw3ETmU3CTKItaaIXYSAAAQhAAAIQgAAE5ovA4z2aGU+XjC5aGy/lcnZvTMmo81wGxLOvv7dyqlkdeV359Z3XruLoSq4MBr5D3VU805ArA6IMiZpOmjKSm36akjiO4aTPZcEYTOJoo8bGiasNGePEr7Cp0WXjys8NX2WA0p9EdQyJFqeMdhqdeOI1G2ttPmTh2zzmjKb0hkMZ/qrqvN+so+rPAbUhej+a07TXKjfO2nle/6o4qp5pdG4XbtxRkk110hrOs+CqytIs6IcOEIAABCAAAQhAAALzQaC6tzFjafSjLcpUS62bVBauyX0zIKbWmWoiu+0wdUe7tR3/uPIuue2BwbTmceXManhtovDu/fNHZNWdBu3T3fey4NPCeX8IVBm3ZAQ785k7N16OQqOwZFjX6ES1y9NwqbUnZeTxdU9prjLKaSkHORlJqwzBB6wcXZUk9SdBanOVabBLxVllRE2FXSzPbb3NxZJe0gkBCEAAAhCAAAQgMB0CvTIiqtOVGsWgzuSkOpGaZptrQNQ6Vc9asc1gYwCNOjv2KdsPfy9+4vi7D0+n+EwuVuWr1hCcZycDQ+6ILPHIGfk0z7xIW78IpIxbSo2mNuuXaufLUq61VjUyfFLvAK9H7qYqPszTdioflWd1vMo4KcNkuItzlWFScee+s7yenM8+gSoj/exrj4YQgAAEIAABCEAAAn0hMDqEoS9aJ/TU+kmxDUgSwWo9Vmc1x4ijKXoveMK2Czp6scgmsblBLN5ZuJfaDEA6avTdQSsf22ynrs596WDJUP7aJy0vPr3uvmQSr73n4cYjt5LC8dAKgVmZ6thKYsYUkjJumXjbUEtLGKz9/ebKjWksjD/KSCZDogzyqk+Tcqm18WJT22UA/MZvN5eONPzZhocKG5EYS0eMqf6MkHGxavSi2Hb9jozpq3sPzMj03zL9+np/j2XlBum+pgm9IQABCEAAAhCAAARmj8BcGhEngfnbt29ORqORh3+3/w5Jf5PwIIOnOuez6MTpr1ctLz583b3JHTi1qUiTdGh0U1+c0venu22b3Lm56dT9WS4Ls5RHKaNQjq5tyMiJZxw/Mjo9f7dtxxGRFdZP5c0JICOXfvrDRoY2TWmtMox5mTIkaqT4JOt9nU1VvK4yBP787of8reG51vitSvPBK+Ntuqa2VulTtrnKMOKSk6bhvLgmIyFzRrH6OGbpXH+QHbXndp2rpB3LcRCAAAQgAAEIQAACEOiaAF+dDQlXjQ6RSE3Hm5QBMWdB9cem2sU7nA0RtBJMhgXjpI7W+TdvqpSrDug/37ip+Jt9tq/01/eHf7Z72ogYG+XW57Iw6TxLjX6N8a2r490PVW+60GQzkbo6pEalKZ3TGpWWk5bH2oilgynKWtIgZVgzmTKWywBZ13hp4escc0alx0YNKo4/e8K2pUbEKgOiym9ZvmnUY6URcdNj6y36NOYY6qr08bLKzpUfKRcbNb7DkvSIUhmZy3ik4hznedWGQZKraenT0GucNBEWAhCAAAQgAAEIQAACZQTSX+ZlIRfxfXWE1DGocofuOjmDXc6ulFXralWlo8tnMqD8rTMGqqOlUYkpp2nNOZ3RlJxZfi7Dh4wEdV1fy0LddLbh/4mJqa5VRpic+LUuX6qdWLG0fh7nxO39pDZcuH1KG5F4HXPONTVZfx5oA6LcNRN/dFd8hF9OfHX8pNpXGXLLjJkaedykru+3Y/n01ZS82A7N0i/1J8St9y80PtbhlLNByopIu7fj0q2S0Uxr1G/M6Bkqm2NkDsNwDQEIQAACEIAABCAAgVkk0H0PtuVUj9uxb0Od2+6vNiAqjnCx+1S84xjFcqYxpUZOpvRr+7kMiLE1yzStOdWRlS7/dsv9bas0c/JWbJPuOIdK97EshGmY1HVO519rxzV1azPC5ujQNH4Ll4pDo8vGSafFM6mjjF2n/8lOpUY5r0fTKf9eRs55k01VvNwqg6D358+ft2v5FPR9dig3MEqGjNuxzWdSBudx37/X3ZM2Qsb+CMlZwkLv0FiaPLMuznNGcGptSxwEIAABCEAAAhCAAATmgR3nnUsAACAASURBVECvjIhfuzVvd94+Th3KMUyWFTiN0ElNi1SnMZdfWTxt3t9vh6XRTQ+Ulj//42XJqNSZ/ddFYEhMggg89LEsBEmY2KU26Uk5TZ1t6n6xMR02R4em8Vu4lEFJ/rSBSd+cH8VcpnsbU9LLZPv7qVFwsU1VfPiX7pFu87x/tfdVhrWqZyZHG5CFbr8d0yucNH2PyMCXGomoP5DK3t85o0813X3S7rm7lBtzTRe1I9MwcFr8HCEAAQhAAAIQgAAEINAWgV4ZETWNNeVSxrRU+Gk9zzE4VOn2zJ3TBpH/+P3mXnRkNIozp8M4q9OaxxlV6vM4Nc20bC2ueSoLnkfb5znTSGX0aJKfGtmXGrWlKac5xp5x051j5JCuTY1D4+rXNLwM5ql2YlI7AafyOjVaTaMr67y7cup4ik3MoPfcjGU4rtqQfg/H8lQGvtSaimXrRkpejoFT74RJTx3O+eNG6f4X/vSKFQvuQQACEIAABCAAAQj0jEBvjIj/eP19yfXFxD6nczWJPKrTkdEIhdiokDp65nT+1JE5+/p7GxsSpedpv7qnkVGlTlrk940Z05qVnlmc1iydxuUkg06qw102TXXeykLdslPH/zMSO5oqD76eOQLa4lU90c7AKZeKOxU+97mMHDlrjV76vw+MZUhUm/fpdfflqjXiT8yaGGtHhEQuttu6/pIAETGVt3La+irjmAmv8+7KqeNl7YPFFxs9KWNmyvioza3qjgKXUT3nT8Cy3aalc06a5e8LN22auCHxkJXp0YjagVvfMU2d6sgZ193bNDjhIAABCEAAAhCAAAQg0AqBmTciqvNx8i82lu5e6SloKtTLa04L8+HtfNxRJZLz7dvzpgeqYyDDXspgJJm/qVjUXp2/HEOBOoCn/uqe2sYCdRoVTmy+n7HWm7FselR6/nS3dMdM+sj4MStOhhDppJ86fOo01jWOyCihUaMpVzYVdt7KQorDOM/X7Lldcg1O5Z/yUXU15eQ3pz6rrVLcbbjYiLJQbs4SAQqjuiRDYE5aLQ751Y7pCqeyW7e8S863bt9cfPz6+2oZpxRvarSu6djlcZxNVbxeuUYyjVhUHU+52AYlPkxscxU9X717emr1f/xuc3Ze6R2eY1SX8bJsKrP0UppTBk7507tUhsRcQ6eVX8+m7vlr99oua3McGRKb/MGkP5X0/lXd6nLEsPIKBwEIQAACEIAABCAAgSoC6Z5IVeiGz/ShquldsY6Qnt33yKOFOmYymsnoles0ikGjbtpw6gyXTTWU3jICVBn+zPCgjULKdFJav3X7A9lprIpPaZahQAaFlD89l7FAI0O0oL9GwIT5If0lS/mgUZJeptZ3WrP50dJ0tcFfMv5q1fJC07xTZeAbv91caMpmGee29MmRExqP1WnUT2VGo5EOWLk0Wu4lW2Xu+3c8mGUwV2e6rHxK1ryVhRz2TfyozKjdSI2SUh5++LpHBobt1bsvLGuqLzKuq274ulKmU5ttVWxEWRivyp/+ZFA6Uk7lUHVe5fVpOy0p9li2sKyp7VK8t9z/yAKZqo9/t3+9V8tP1z/GTcYpnesPhBhn012Gn39ad1+SdWotQpM3znHcTVUsbuWRfipLVS5n1JvCxzYo8XJtc5Ww3ZQhT2tk6o+QKqe8uuHeh4tDd90mupFYnfZM8eQYL+Xn/Js3Vak1eKY6KP1Ur7XZlNYFDcuxyrDeL+H7LSm8xIPKbM4fWvYHk70TNGI0NJ6KncpV7P2rNMlo2YWr+qOyi/iQCQEIQAACEIAABCDQPwL1enotpS+nE1A3Ko3O+Jt9tq8brNT/f931YKWRRh3sVIdcz0/91cPFquVLCj+1TJ1vjQJRJ66Ou7ViJKLkqFPy4t2XZXVk5F/xX7Vev7RhweupDprWt2qTt5fvz1/7pOXJKZLS5/M3bipOedqOPuhUzsumpcswoN+l/1sMDNB+F1St25YylIaJSXW457EshAzaulY5vuG+h5N5oPoiI4F+am9squzdD22pVZfbbqtUrmRUC41BIR/9oSFDaE67ozql9ivVxoVx6FphpJPKYI7TyCqvU8j5icuWFDsvfXxastrBlIHL4v2z3dOjmc1v02PKiFvHkKn3ithVORlXc5wMU6l3rdqr0IAl2VpOQiNDVQ6qnPJBP+WhHyWoEaKpsF6u/hCJ6eH96Fx+ZKjPLZfSQe+3uu+4MN6caxn29MdbKv9MlvyZ31Q+WRgdVT/EuwtD4mNrMy/30XEOAQhAAAIQgAAEIACBEQLtDNsbETn5C40KPG7v9gyISkGq45E7PVCdGHUUNHrAfrr2neZcYuqsyVhQ5dSxyJnWXCUj55k6cpNw6lzmTGsWU40smaZTxy6n4yw/1vnWsa4BUcaZnA73vJWFLvNWxmq1I7lOeWZ5WKcud9FWSWcZ0VNORsZjMtYaTcnJea7RiLmuaqMOcZbByNpOHcU9x6kdzDVk5sgr85PSJ7WpipebMhAqPSljsZcng3WVK5sKr3j0h1QdZ/VBx5x20GRLx3fsu4NdJo8yhqfSlRTSkQftGD4J3VQPunCqb7nTwLuIH5kQgAAEIAABCEAAArNPoLqHMfv6Dz7Y37L39rU6ixrtkeO+fMv9pSMY1Mmqmk6aI7+JH40ATLm/23+Hzg2J6iTKaDYJp7XjtJNtyl1y2wNJI2tKxjjPq4wh48j1YdVBVUc1181bWchNd11/qstqR+oYEuvGIdl12yrF4Ud4lcUpI3rOpiaTSKd0tNGIZfrafRn+6xrRLWzVUaxlbOra5Yxwy33fSFcZCKv+BKojS/I0irPKVY2i1J8QR/5RN9NmTSe1Z+/dv94IcjGqa/S3+Lo+Sjelp2tDoo1GrJOenD+eJE8Gykm92+voj18IQAACEIAABCAAgdkgkLbMzIaeUS1kyNMHe11jnj6mc4wF+lBXx7xsnSONnqjq8EWVrrh57FPSRgyNAMzpuMp4lDOCr0Kd5COthzYJp47ZURmbUCi/chbw70Jn5UkXxhCvq3W4xaOOm6eyUCfddf2agS3HYF1XtvJOBsS6bZXi2S/zTw+VQW1ClXJdptPHfc2G6mm58qu199p2ZqytW0+a6NHWpio+bq1DGXNKV90prH4aeExm2eYq5tcMiTnvSwuTe7T3d5N8sjLctbEuNy3en9Kj75Ic478PV/e8yftXzFNOfxDqmyfnT4mULJ5DAAIQgAAEIAABCMwfgXrWiBlJvzr56txoDbwmHRAlQxsb5Dh1UrRpR5mTgaaJYcDLUwdNBkQZN1PTpPWBrxGSOU5rvcnQ2XZnRvw1QkVpn5QTmxzOMqRMY1pzanOFcTmN0+FW3PNUFsZlWRVeZezUp+3Y6p8Dktnkzw7TUzvO5xpxcjfdsHTm1CnTI/eoNlPtWY7BS2t7ttk+SdaH/2SnrLYiNz1V/lL13q99WiXHP1PbGsvvuqMQJTMVRn+85CyRIQN4W/mktL34icvGen8rbePWK8+8rbSZTH2XnP4nOw3SGctL89fkKHlN37/P3638W8brojiet2ueXx+OcwhAAAIQgAAEIACB+SeQ/lt6hhjIkKJOUU7nNKW2psimNlNQZ1id/5ShUoY6Ga5ydrT0eulDXcZM6WJxqHOw6eGidPSjwr9kj/yPe3W09JN+P7zzweFC7l6P3HPxkJGiDf65cXp/r99LuzWP7hTtn9u5pjXnTt2yMOMelW8qm1oLLnfR/5w4ZbBVfkv+uG6eysK4LKrCqy7KQK4pwk3zU3Vb5UF/CuSM/knpk7NhkspInbqpdKrtUjq1q3hO3arSU+nU7uN1yqrqqX7jtk8yAskgOel6XzUdWKzqbKri2arshO1I2QhFHy48187EKVe2uYoP59uOuu85k6O27Bk7Lx1539mzpkcrw03Lj3TSiH3Vm2Ov2tBUjdJwf7VqeaE/Ab51+2O7jsto29TZ+7dq1/KUbNWP1MY0aruajppOxc9zCEAAAhCAAAQgAIH+E9hqy5Yt1dsv1kzjP9+4abCmTs1gC7zbyAB1wrQwvUYDmqFtgecxbkhfb0zUB7R2U25qrNRIuGvvebj4zaZHirsffnTBFFelSzs177PDksrOtqYT/X93PL5emDo7T1y2daGRBON0lDXqZK3WIdv8SKEOcNnOsuqwaPfZnf8Q73N3rbdJwWm/uqdyAwR13Jrs7iwuOes1NZU/RlEaBjWjzA335u2EOwzoTqzDWMco5IJnnU6qLKQ65+PkVUq2jfDNAlLiSZx+tP7BQlNXy+qM6ueKbbbKqtsl0SRvq22RsU/TGG3jCpWTJy9fUrx0j/GNlVJAxhhttqF0bn70sQ2AQsUsrcu2fiy9aivHaZO8fNWdH9310GD3+o0PPVrEdvlVG60Rfk3bJh/fuOep8qf6W8eoavoor/10UjH/xAE72+NaxxOv2Vi5kVeT+qd80nR1lcWyfLJ3iN7hB6187M+sWoo38GxtWpleVnZjOqXysgmnMAn2faBp5GXcrHwrbFffP3qP/viuh0be0fo20dIJMnp28a0VsuAaAhCAAAQgAAEIQKCfBFo3IvYTA1pDoBsCOZ1G69jKuLzHsiWD0Vzjjl7rJjVIhQAEJkXAG/80ElCjRnEQgAAEIAABCEAAAhCAAASmSQAj4jTpEzcEIAABCEAAAhCAAAQgAAEIQAACEIAABHpAoJcbq/SAKypCAAIQgAAEIAABCEAAAhCAAAQgAAEIQGBuCGBEnJusJCEQgAAEIAABCEAAAhCAAAQgAAEIQAACEOiGAEbEbrgiFQIQgAAEIAABCEAAAhCAAAQgAAEIQAACc0MAI+LcZCUJgQAEIAABCEAAAhCAAAQgAAEIQAACEIBANwQwInbDFakQgAAEIAABCEAAAhCAAAQgAAEIQAACEJgbAhgR5yYrSQgEIAABCEAAAhCAAAQgAAEIQAACEIAABLohsHQcscdetWGc4ISFAAQgAAEIQAACEJhRAucfsnJGNUMtCEAAAhCAAAQgAIFpEGAk4jSoEycEIAABCEAAAhCAAAQgAAEIQAACEIAABHpEACNijzILVSEAAQhAAAIQgAAEIAABCEAAAhCAAAQgMA0CGBGnQZ04IQABCEAAAhCAAAQgAAEIQAACEIAABCDQIwIYEXuUWagKAQhAAAIQgAAEIAABCEAAAhCAAAQgAIFpEMCIOA3qxAkBCEAAAhCAAAQgAAEIQAACEIAABCAAgR4RwIjYo8xCVQhAAAIQgAAEIAABCEAAAhCAAAQgAAEITIPAVlu2bNkyjYiJEwIQgAAEIAABCEAAAhCAAAQgAAEIQAACEOgHAUYi9iOf0BICEIAABCAAAQhAAAIQgAAEIAABCEAAAlMjgBFxauiJGAIQgAAEIAABCEAAAhCAAAQgAAEIQAAC/SCAEbEf+YSWEIAABCAAAQhAAAIQgAAEIAABCEAAAhCYGgGMiFNDT8QQgAAEIAABCEAAAhCAAAQgAAEIQAACEOgHAYyI/cgntIQABCAAAQhAAAIQgAAEIAABCEAAAhCAwNQIYEScGnoihgAEIAABCEAAAhCAAAQgAAEIQAACEIBAPwhgROxHPqElBCAAAQhAAAIQgAAEIAABCEAAAhCAAASmRgAj4tTQEzEEIAABCEAAAhCAAAQgAAEIQAACEIAABPpBACNiP/IJLSEAAQhAAAIQgAAEIAABCEAAAhCAAAQgMDUCGBGnhp6IIQABCEAAAhCAAAQgAAEIQAACEIAABCDQDwIYEfuRT2gJAQhAAAIQgAAEIAABCEAAAhCAAAQgAIGpEcCIODX0RAwBCEAAAhCAAAQgAAEIQAACEIAABCAAgX4QwIjYj3xCSwhAAAIQgAAEIAABCEAAAhCAAAQgAAEITI0ARsSpoSdiCEAAAhCAAAQgAAEIQAACEIAABCAAAQj0gwBGxH7kE1pCAAIQgAAEIAABCEAAAhCAAAQgAAEIQGBqBDAiTg09EUMAAhCAAAQgAAEIQAACEIAABCAAAQhAoB8EMCL2I5/QEgIQgAAEIAABCEAAAhCAAAQgAAEIQAACUyOAEXFq6IkYAhCAAAQgAAEIQAACEIAABCAAAQhAAAL9IIARsR/5hJYQgAAEIAABCEAAAhCAAAQgAAEIQAACEJgaAYyIU0NPxBCAAAQgAAEIQAACEIAABCAAAQhAAAIQ6AcBjIj9yCe0hAAEIAABCEAAAhCAAAQgAAEIQAACEIDA1AhgRJwaeiKGAAQgAAEIQAACEIAABCAAAQhAAAIQgEA/CGBE7Ec+oSUEIAABCEAAAhCAAAQgAAEIQAACEIAABKZGACPi1NDPf8TXXHNN8bnPfa54/etfP/jNcoql63777VdstdVWxQc/+MFZVhXdxiDwgx/8oDjrrLOKl73sZYPjGKImEvTXv/51ceGFFxYnnHDCoHxK/8XofL6pPZkld+eddxaXXXbZoN14znOeUyzWPJqlPOmbLqrju+666+Cnc9ziIqD3kb499NP7KeZ8GVF705Xz30JluuTGrbbQ0qXjvDnxsfQpD6ftJlVGlM6cMluXh7HUkfdoXXr1/HeRf/U0WLy+Z63dCHNikvVQ389WFmehDQ1ZcF1NYGn1Y572jYA+Ii655JLi29/+drF+/fqh+occckihDu4LXvCCiRj09AFw+OGHD+M/4ogjhuezeLJ69eohrzPOOKNYtWpV8da3vnUWVV0UOqkjc/LJJw/SesUVV0TTvMsuuxSHHnposWbNmuIlL3lJ8dSnPjXqz27qxW0yde9FL3qRPZrZ47777jt13VSXv/KVrwzalHXr1g31kW5qV1R3XvOa1xS77bbb8FmbJ2G+zVpb8sY3vrEoK6NtckDWfBJQW/eGN7xhmDidP/3pTy8OOOCA4T1OIHDqqacOv1He+c53Fq94xSs6gaI/fq2d1/tSbXvq3dqJIgitTWBSZaS2YgSAAAQgECHwne98Z/j9rO9o2TBmbaBARG1u/YEAIxHnpChoxJKMhOqAXHTRRcOPTUveVVddVXzmM58ZPNeIO1n/59npn3qN3tIHccrJSOINrvJ/8cUXp4L1+rk6rhpxKUaz6O65557Bi6XKOKM80/O3ve1tA2OWjE249giojVD50J8BajusY2kx6Fptjfjvv//+jBwwMBwXNQHVG/sQzhlNE2vjYvcWNVQSDwEIQAACpQTsvaN+IA4CEIDAJAhgRJwE5Y7j0MtDI4JkKMx1XY0ayo2/K38yGspIeuSRRw4MH3fffXcyqsMOO6zQqDbvNLptHp06tfrIOPDAAwuNuJTxeR6cDIoaNcFU9PZyUyPsZDzMceK/55575njFDwTmloCM7jKo2595OQmNjayN3cuRhZ/5JfCpT31q8J2ibxWdd+Xe8573FDYC/swzz2QUYlegO5A7qTLSgeqIHIOABgXYe6dOP3CMKAkKgVYIaNShfe/oyCjEVrBOTAjTmSeGuruI3v72ty8YSafYrGLecMMNI6OIjj766O6UmbJkjSAMR0zlqLR27dri1a9+9SDsKaecMrdTmX/4wx/WMjbnsJuUHyvPFl9stI4Mo8cddxwdH4PU8ChjfIyv/qzQHxD648J/rOo+U94awibY3BDINbr7BGva8gUXXDAcFX7eeecxldkD4nxAQNOX77rrrs5pqB3XNyOufwQmVUb6R2a+NdbMnXA21XynmNTNE4HLL798npKzqNKCEbHn2a2RZJpS6J2MhOeee+7IGmXy98UvfnEw+ux1r3ud9855UQw6bXw4z3ZRiL1oZOzSdFrvvv71rxfve9/7/C3OaxI4++yzR0JoZIrWWfWGQhkSxfoDH/hA8Za3vGXEPxcQgEA+Af37zj/w+bzwCQEIQAACEIAABCAwPQJMZ54e+1Zivu222xbICQ2I8qDO/0c+8pHi6quvZpTDAmLc6CsBbX6jUXDeffe73/WXnDcgEI7m1TQpb0CUSI1IFP/rr79+sLFNg2gIAgEIQAACEIAABCAAAQhAYCYIaGkarW2NqyaAEbGaTy+fVq13mLvjo9bYUCXS+nl+u3dda925NtbS0/p8XrbOq5xtA29h/KL19iycgql18sy/HW0Djlj85sfLjuk0Lh+LR0fJkrPF+Hfdddehzm3xVpoVl9+dWHGKl9dF52JZ5mzxZvnxeupcI2mm0eiG5X3lypVl6mfdV9nWCMcwjWKj/FC90MY9dZxkqt6EMtvgJuZhHkrHNt3OO+9cKk78QwNjmWfVK+kmDl5nrWOq+6l6Z3LFU/4VzuQ0YTmt8hyr615/6ZVyMRniYfUwR0YqDnsei6uuviZLesXql+qW2ik9t/ZKeWvttYX3z/RcZanKWfmwY8zvuHW+TLY2JbJndrQyHqbDnuuYcmp/lM++/CucWIhtVd4rfotLeSjn88Se5cozXfUeM32kR5UOFiZ1tHbCt2cqi3bfdNW17ue4srRa227v4xxZuX4Up/JbcZjOVn+sPMRk+byycDr6OiE29kz8U066mH8dLX5/z87FNeUUXmVR6bFwVpc3btyYCj58XpUvendW5YvnpLosF3tHiI94mZ9h5BUn45a3CtEDXYyZL+NVYXwZkm4+7SZLR19GyuQpfJh3xqjuN05ZHP7+uHmi8CoLnoH0bfudJ6bKD8k2pirf1s6orJY5a5t8fnZVhizv9Z7xznT2R/+87DzUM6eNCmWVsWszj3y6FF+Vs/xQmLBOGD89szZh3DJquoQsFYeVH/OTc4yVeZOld73pHZPl06cw5hQurEMpjhZW6ZIs/VQ/cpzqrIWxeuHzxZ7pGDqfBkvruHkUY2plXenTzzai1TmugsAWXK8JXHnllVuKohj5ffazn22cpjvuuGPLKaecMiIvlG/X8if/MRfqdcQRRyzwFvqR3ConGRa3jgpvLnzm/YXnZ5555iBYLH7z62VbHDq2xcfi0fH444/fktJ/l1122XLBBRd4VWqdK80+zqrzWF4pMjHZd999k3Lkp4xfrtKxvImFVX6EOpWV/5CBlYNQ7tFHH51Mo/iJU1n5N5l6rvyt4m3PlI5169ZZ0MHRntkx5Hr11VcvkC39x3UWnx3HlSk9U2Xc4grLX5hvqgvmt+x4yCGHJPOmrfIcpivMI58X4iDdyvS2+0rjpZde6oMOz1WmcmSoPI3r2tDX66C6mco/Pfd+wnoaloewvPj4dG5M7Rg+1/W4dd5k5xytfITp8GFjOuqe2oewvPlwdi5+Ze2g4jd/OkqPsA31z3Wu5yoLVS6UoXZvXGdpVXrkUm1pKk6lIdQzTKuu9W3TllM99uU5Fp9/7st7mFcW1vtRmbD7OqbySeXC/KsdMWf3/LGqbqkdStUbny7JLXM5jBS+7JvTc1L6xCCM26dLz1Kc9DzVzvo4qliVpVtxmF6SlXJhXisPfNpNlo6+jIRyc9ImGUpT+E1isqxupuIy/9LH6xeee5Z6pnR5p+/f0E8oQ9fjupz+T1V7aFwsP8dts6rSU5b3OVxMT/lVmlNlPdX/yGkPFJfYhXlblcbYM5++lCyfzrBOeH6z2G6k6ow4qJzlvuvLvh2VJ96l+Pp6mGpHJde/c+271ueLj8/rofO28yi3HTG2OekLdV5M1+O3uIuJ1gymVY2Cr4B2XtaoVCWhrIExmbGjGoKY8xVf4WL+Qj/yV+XCRkfhzYXPYrraPXuRxOI3P162xdEmH4un7jGml+lXdcx5GZkusbxSw2vPc49NdVU6Ynnj06e80Mso/PDRy0rPYi5kYOUg9Ku6k5tG3wkL5ejl41+eKZl6MYe6h2E8U8n3L3P5lT6hjFCvnOuQq2TrY7iJ7DovbcUTlr8w30ImZddVLNosz2Hb4/PIs67LQelSmNCF8ZWlP2VQCeWG123pa3JTnamydIT1NCwPYXmx+OwYyrX7/jhunQ/jqLq28hGmw4fxutl5rL77MLHzkJ1kxdrWWNjwXqx9Mt10DP2n8sWHLTv3Zd3aJOmhsqS0qfMbtrGxOiP54ud1DOWYfPMzbv1RnNLF5NlRhjfprl8Yp/z4PJMBx/z6dHo/isdzSunt4/SsLB4vqywP9R7wcqS39FN+SI50EF9Lsx1j+Rwy8nJixg3FGzpfphXe4pZfS1do8JS/Mhera1WylL4yVmVx2H3pYXx8fthzf/TtlNIjl1tGTE6YNl8PxMrnv/TS85gh0ftTuCqn8mBpNJm6p3CxOiw/1k5aGi1Pw/C+rBmTKl2qnoVlJMzzUAexDJ3novChvrH0pvI9jMOuLe9Dvlbm/dHC2NHrKR1DPT1Xe+7zxOToGGsPxNLi17lnJ3lmTPJycs9NHx3LdDJZPp3Sx7tZbjfCPPVlUc98uyEOKleh8+mTHyvfCiv/4qHzkEuKr9dN51XOv3dVBsypzCteL0vxhs6nQbpaOfI8LF2mt/zFXNW7JpQhWbF2LyZ3Md9bmGOLmUZP067GwCqPP6rxTDWwPslhZTZZqqySpYpp9/wxbIAk01d8+VX40IV+5K/K+ZeB/Pq0iYGeWwNj+kln3fc/e2GrcbP75t+OXrbp1CYfiyc8Sv8yneS3rHE0HcuOSrPkhnno47N4w5dR+NFpOvuwds8f9byJ0UlpiJUNLzt2rnIa+6gzJiqnPlys3Mqvf+lZ2Y+xM1lWniweHWMfVebfl0kxsvsxfeyZHa1cxuRLblPeXned6wPP4vRHxRFLbxjersvKjmR6tj4OS6PJCPPN+zUZYbk2PzGmZTo1Lc8qGxafjqH+SkdOnL4seHkKa07n/pmdW931HMb5SG9LX9Pbd35NZzvGdLdnOoZ5GJYHha9yXpbOY85ztTIluZ6nlxPWAUuD96NzL8v8WH5amyw/YbhQx1h9tzAmt6z8hOVR1xY2PCq9khfTSX6rOgwhqyq/YfrKrqWL11EywzYuZCPdQyc/no/8hHIUJiynYT6HcquufZlSGpSWWKdEcfg0huXd4vAsQj++vVY6Y2mTHK+T/MWcr1+KM+Z8h0tyxC10Yb4ojaELy2JMt0Hj4wAAIABJREFUjsKkGIVypJPuhS6UE2sjpbcvyzqPyRJLxWN5V8Yq1CG89mVOXKucr5cx3avKiOQqbV7nWH2Sv5y0peKydPj0iZW+L2PlU7oYSx09cy9D+ku/0KncjlNffblX/DFZqr8+D1Q2Que5SE6McVg3Ym1WKLfqWqw8uyq/9qyJngoTc16W0hJr58I0Kx9j5SAmP7zn0+rLSehP1163sN0MuUmnmLxJtxu+LJbppLRV1Rk9D9Nn5THkFOZDim/Oe8Ti8PaJsG8Z09HC2TFMQxmPVB4pjQpraVNbG6Y7lBGWF9OJ4+MEFr7VH3/GWU8IqCL4F5tVEjuqEY01jD55YUVV2NjLQP78B5bFEVbGUF7s5RP6kawq518G8qvwoQv95DYClg47hrJjuo7Dx+Kxoxq38KNFTMOXhPzHPqBCDmXX/uUkWbF8CcOGTBUu/NiXrv5lYemKvTRC+bHrGG+TGTuKX+yj2ssO015VNsK8MDnhR6R0iX34x1iIY+zjSnGpToV1SHGGabVyGdZ3pX+ccmHp88dY2TN9pG8ZIy8j1FPhxSZMq66VH7HyGOabZMRY+o6G6an4Q9d2eQ7lWR75eEMOsfou/wqrZ6a/pdVkxdIYslQZU96N49rSVzpInzBNSpfyNdRd6Q/fL2E9DctDrMz4tHuWOi9zZeU5t85LbhhXrCyE8ctPGC70E6ZZ/pXHIT+Vj5B1WAdi8clPqGss3ZJd5tT+WN4pT0LdysJV3fd1K9bOWtgwTdLdO89PaajSzbd7Sk9T5+tQmAehTJ/OsLyb35QfY6+yUVaWfdrK4vGsFGfovMFScVW9d8N8CWV5ncNvitCvb/vCchjGU/Uu9Bxj7aR/dyuesCx5vVKsvN+yc5VFX//L4tN98xem32T7tMXy1+d/VX2SPDG0+HQMmabikgzpLF1NTup70PzpqDw11wZnkxU7Kg+8njF2Fs7ng/QM65rnUsU4LLNl+W7xVh1DWVV+7VlTPcO2U+m3fFN9Dp9bfDrqWZ0678P6c4svLCfej537dIb5GnILy7jJ0NHL6bLdCMtXlU7SS2XMeITlLUxf6j1k6TV5VXz9+y2sAyZHR5/fsbSEOvqwOg+fx2RYmKo8Ct8fZeXUt//SHVdNoPyLujocT2eMgCqEb0x8I2Dnel72ovIfF/KvF2pZJVMlNpl2DD8Aw4qvyh260I9kVTnfQMivwocu9BO+NEL/dm3psGMou20+Fo8dyz7ElQf+40b+c9NkafNHhbU4dYzli/cfvtBS8YdlULo3cbGy4fUuO1f8ZeU2THtTjiGT8EWj+EP9UpzLGIVyxCVWFqterGWyc+6HzEJ99CER1hWTG3Y2FbYJ81CHqg8h/6Fgupo+OoZ5l9IppzyHbU7II1aWQz9ex1j7au12LH1t532b+ipdYf6JedVHZ8gzLDOhvFTdsnJgR8869zwsN2GdNzkWhx2r8tnCxHjbMzv6D3HJrkpzqozE4itrM2N+c9Jkeo979GUhLAehbGOuY6ijf4em5IR53aR+hdys/oY623VOOlN+fL2IlY/wW6Isz1NyvB6xzrSlSceQg3/m3w9l9cn717mvBz6Pq+IJZVSlL2RU1U5JbpWsMN6qa/+eCb+lLZzv3JZx93kj3bxT2nwdSZVJhfXfGqG8qrgsXs8nJ4+9fj5/fZtW1TexeOse68r3XJR33uVwMf9l6bXnucc65d9k1tHTt58+XyQr15hk8Xqjo3Ro4upwq0pnHW6+LId6t9lu5NRzzyx8X/lnYfrK+pk+jM5z+Po6E9YBk5fTxoc6Wlg7pp6bPx2r8sjX2bL2UzLqxOfjXqzn7M5cselMnx5ph1TtInTllVcWhxxySFT1iy66aPAststduAPR8ccfX4S73ppQ7fB89NFH2+XguHbt2pHrebvomk/Z7rfKg0MPPXRqOL/zne8siPu4445bcM9ufOADH7DTwXH9+vWVuyqOeE5cHHHEEYX/7bLLLgtCqIxr1682nHYFsx2V/e5hL33pS0fEr1u3buQ6xuy8884b8dP04sMf/vBg1zAfXrJTu657/WPnZcze9773FUpfWN8t/quuuqrQzoBh/dDzb37zm+ZtcNx3330LyRvXlbVLkvua17xmgXjf3sXypuvy/JWvfGVEJ7E87LDDRu75C+Vl2Ib/+Mc/Hnh53vOe570OzlevXl17x9EFQtyNNvWV2K997WtOejGow9qpcRZd0zrfZVpUfsM25p3vfGdplG9961uLsG38r//6r1L/elBWp6rKaaXAKTwM64ypIH56D5nTO6TKaad5tVXmrrjiCjvNPvo6pPqeu3t9dgQRj74dk862k6V5VdtnHKq+78x/7CiZnofKWlPn3w9l75dQtt8N9Ic//GH4OOv6mc98Zqk/z0h1aFLt1Jve9KahTmefffbw3J/o28bcX/7lX9pp9tG/+1RXcsrk3nvvPZT/3e9+d3iee/L5z39+6PW9733v8LzuyUte8pJhm6YyrO+VsHzXlen9+/6Lvu/K2kML84IXvMBOC58vw5uZJ2VtVmbwiXkr64MoD/QNaE75lHJ77bXX0ItvS4Y3Z/RkUu2GL0+vfOUrkzTCely1y/IrXvGKpLxcD/5bWzrH6qNv4//2b/82V3Rjf1V55PXz7VrjyAg4IIARcc4Kgj76f/KTnwyMibGPZb2A1en0FerOO+8cflwajpe//OV2Gj0++9nPHrm/YcOGket5upg2nxe96EVTw3nLLbeMxK0yVfWBFTNm3XPPPSMyml5cfvnlhf/dddddUQOXPmpiRq3ceNXp1EeqjGNnnHHGSKdJMsIOfSg3ZJb7wR7KiV3HPrrC+GLhxrmnjxTxVLrV+Yy5N7zhDcVll1028si3MXqQ21EcEVLzIlY2ffkLWU2iPIcc9MEVM+T6e/7DXAhM79gfOGrTP/OZzwwMH895znPGKvuKq019JS9My5o1a2rmavfex63zXWr4P//zPwvEpzoDYafv7rvvXiAj90bsOyI37CT9xeq+4g/5xd5RoZ7eWNWEnb7BzIXfSna/7aPS79vnr3/96yNRnH/++cPrpsa/6667bihDJzksRwK4C9/O6D3r27+y89j7z4nMOi37w1aBf/7znw9lhHVo+KCDE9VnM1zrPav2yDtd23eH/DUx7ts7RHLVJpcx9vdPPvlkr0atc303m84K+IxnPKNWeO9Z3yD+j1jpLw4nnHBCUWU08TKqzr2eOfXVG8IkV2lt4srarCayphHmtttuG4n2CU94QrJc6bu6j25S7YYvi0ceeWSSp+rrNFz4vvF/Upg+vh/mjY72vO1jVR4dfPDBw+j++7//e3jOyXgEMCKOx29mQ+sjQwaXCy64YPgPnimrTufHPvYxuyyuvfba4XnTkzY+7prG3XW4xcznpz/96dh4m44YyInYDFxhR/cf//Efc4Iv8KOPdRnZ65Zn/xEZ/mPf9YeiPvTDTseChLVwwz7ky0Y7h6OjQoYrVqxoQYvxREyjPIccmqTAszv33HMXjFQ0mepcyaArY2LTMtG2vqabHcfpTJqMNo9t1Pk29Qll/eIXvwhv1b4O26TaAnocYFx+TdoMbzh//vOfPzF63jjoR4HJYGf1Wu/KpsY/zzJ859ZNpOlTN5z5X7VqlZ22dvR5Pek/b/2fbJ/73OdG0vTVr351eO39DW9mnIzbBuj9X8eF381NDJ8+Po0K1beHGVv1TH+eySilP32bvu8kx9dXH2fueZjW3HB99zfut73Pyz6zaKvdaMMgvueee04MpR8pGY6g1qAC2Rrk2hxI0TRxz3rWs4ZBv/3tb5ca/r/1rW8N/c1L+RwmqIOTpR3IROQMEdCLV/+oqhJbhZZ6evn+n//zfypHlc1QMlAFApUENLrJd0qafBTKEPjqV796pJ5YpHqZ2OgU+Qvl6yNy3I9kiyvnqKlWvj6/5S1vGYxALgub6vD5f+nKZNh9+4PijW984whz/YOqD4fUKCmTwzGfgDe8ySitkU5nnXVW8dGPfnSkHJhElU8Zw3Ws2/kzGeMcvb7jyOk6bJ/qfNcskN9/AjIOqq3Xu1DtsTqlaq+/+MUvDhN37LHHDs9n5UQjKOtO0X36058+K+q3ooemo2tEppxG8PiRd36K4+te97qx41N/4JxzzqklZ5LGiTLFVJZvuOGGAZ9TTz11ONJR5V0/DZqY1BT0Mh0X830Zeeu4nXbaqY73Ref3s5/9bO0RvJP83rMR1HrX6CdDvv1B5acyq38ybWdLIqjfpN/b3/72Qn/I+0Eeel9aGyx9JzEFe9pcxo0fI+K4BHsQXo3Kl7/85UJDo70zw0cbxo+UkcLH27fzxcxH/8Z741yTvJvESIyY0cI6ULk6azi+XoTenXnmmYU+7v2LRs+rphDIIDcuM69DeK4PC7m3ve1tw0cyFsmoVLbmoEYlt+nE49/+7d8KTV/xTiNVzIiojkpobPV+p3E+jfIcclCZKsunOkwkQ2VT5VYjb0PW+lDSiHPfGc2R35W+FvfGjRvtdOrHtup8lwlpo/2c9KiqLnnUlV21TlKOrDp/sMTk3XrrrbHbnd2TkdDeP1qbUd8v+tNYTn+GtWVkkTFnHOfbGa1R1cZ31jj6hGFvuumm8Fan1/pONwOw2m4ZEpVX6pjbd4nyzzrpdZXx3yV6f0+at0bDtmXgEBf9xEhTmsVLTqPwNdW4btp8WazLVf7nzaCdyyBsW+tyz42nT/7GaTfCcqR+zawzlaHNlj3QCGr73vRTmXPWyuw6j9XmSTe1EXL6Y0bfzBrZrZk+muLs/6xRm9DGd3rX6Zq2fKYzTzsHJhS/dezLogsXYv/lL39Z5nVwP1wsf+XKlZX++/5wsfLx0yiVh7bBQ1l+huviyd8k/m2MTauo+8+5Xw9Jemt0hF4ioQGxLO12P5xmpQ6dn+5s/pocpZOmrOkXGu41Ks2vM9VEfp0w4hLq4MOHUwHCNsP7ndT5NMpzWH7aXI9FstWZsnVww3bKf8jlMm5b31An/w91rk5d+Wurzneln+TG2s+qqXtqa8yIZHqF5d7uL4bjk570pJFk5rSR/j0Xtucjwkou1AExF5Yxu9/VUe2B1TkZD9WxMyPLuCMrvNFAhq1x3mv+/dBmmzgOV28w9utajiOzTlg/SvSSSy4ZBPVTmcfZnMSXY1++6+hXx29oEAnX06wjq8yvyvr1118/LO/y9+lPf7rMe+l9XxZzjEC+f6S6Fr4zSyOaswdh21r1XpqzpI8kp612Q+XI2m5F4MvZSIQzdOHXOrTvTT+VWUa6tv48GDfZai/8Em96h2nkoYyg3oCofk3bAy/G1X1Ww2NEnNWcqalXzHjjRaQ+nFW5vNP6BmUfiBrhFY56Oeqoo3zwxudleurlFHaMYpGEjVVbH6ezwieW5jr3/IekwqU+JsN/kNQZCdfr8fF/6lOf8peDkQ9N/zkfEZS48Os/mdewLNj9sqNf10R+ynbwUvmvcrEddD/+8Y9XBSmta2EgP+VLI9q8U97oX/m2XKpNUTxVo1E0ndY7tRkpmWVtjpczzvk0ynO4kYg+VlJlKJXGGCf9Y60R596Z8cDfS523rW+4m7k+NNvsbFSVwaq2ShzaqvPG1HdGda+NToDaz1DuP/zDP1iUC45+6qo9DMu93V8MR/HzHbPUO09109ebWHue4qY1Sc35zond6/r4/ve/fxjFBz7wgeG538F5eLPGydOe9rQR37HF9Ec8VFz494MYxdq0iuCdPPLrZul9VfY92knkRVGonlpZFRPF78vPOPXYl2OV79S7eNw0yiDi262u/jxSPL68a72zus6XxZzwF1988TCK8P02fDDBk/AP80nVpbBt9QbvLpPvy9UszGxos93w5ekLX/hClxhbka1+lg0mULui7ztf19uyDbSi7B/aWN9eeLkyeMrIKAPiYv1jwPPIOceImENpxv3oo1dTlbW4cOzDQB8ioXFBHyp+mLQ3Tii5stBrzbPwI0pxvepVrxohIlmpj5uYATD8p1JCpWf4AlRH0L/kRyIPLkLDjz4Iwg5rkw5813yCZHR2Ge4qZ42+j1B5bvnuXxDmR52SsHOuPFPehfk87sgHi7PsqLxVubfpPubP71Jp98JjuNB4aHSUYTIsi+Jy0kknhaJGrvVhZS9Ve6B/u2SINq52X0fVWaXB/sXzz6rOFU9oSBT/MG+qZJQ9U7qPOeaYwTqQ0ivkoOsPfvCDC7j7dOsfSusQWTxqpzTtOiZP8ey///5RRhZ+3OMkynM4KjbWNqoNVT6FHJQ+cdD6m7Gyoue6/9znPjdaXn7zm9+Miyjalo+j75ve9KYRndTmqD0ve1dVGQUlyI+G0rXqvsqid1Y+/ZR//9zO26rzJs/WTbVrdQLCPG7y/gnbURkWlOZQtsqUTS0yHVQnw3TaszaPaouVfi31oPYs1K3NuOrK8n8Cai21KvfhD394+FidVbWzdZ3/XlD5bKNNrqODHx2i+iand+K4HaOw/RTLpvkcvh/+/u//vk4SO/HrjXiK4JRTTukknjKhyh9fVrUchX3baHTrOPU4/C457bTTGuddqH/ZDua+3dKo2PBbPJTTxrWV9zqy/DtavKu+xdR+++/cWTCShOXiRz/6UZ3kj+XXG2Qmlcf+Pfuf//mfpfqrvPm8KvU45oM22413vOMdQ230R0ZVWRx67PAkx0gbjqD2Ovu61aGaWaJVHtTH0DeS3oeXXnrpYLOmLVu2FPpJb9/+Zgld7J624HpP4Oijj95SFMXI74gjjtii3yGHHDJy3/ydeeaZC9It//bcHyVDz/bdd9/o889+9rMLZF155ZUL/K5bt26BvzL9TH+vR3iuOEJ3wQUXLIhX4SwNu+yyy+B5GC5Hdpt8cuIzHZVX3n8s78xv6qg88LLsXHnr89izjeWlwollVT5J5h133JFSKfo8FqfFZUfTPTxKr1hZCzlKP+/Kyo7FV1b+Ff+ll17qRW2J6W96GmvJtfKoZyqjobMwdvT5Yn5DvSSzKXeTqTptcdrR6pD0tnv+qPuhC5l7/2XyTjnllBExoYxYPD6Aj0PnIbOyvGlankMexx9/vFdncB6mweuo8Pbz92NyJEx8vD8LG5YD+dGzJq5NfRW/8trrbOeeeUx/+ZMu3qlsW3h/NFllcZlfL6vNOi+5yjOLxx8tj3QvzJNYefQ66lxpVvq8TDs32WXPr7766hFxOfH5AJJvcekY1ifzG+ZfWfk1/zlHH3dYDsLw3m+oo94Hno90i7WRYf6F7XoYZ9W110fcyvSXrl63Mn9eXpkfr0+Yltg70fu3c8m2/FacoQvLj+pbWMYURnxDHUJZ4XumLF8UTnVVccVcqFPMj93zfmPp8+kXB31fx8qKePq2JibL4qxzFEvj749Kf8qlykgoW/qXlQtxqnru30Mqv2VlwJdtnZfVqbAsKH7v1L4ozlhe+HQrv5q4MD1h/JKpNPr0xMqj1yVVT73fWHx10lG3LPq4x9FT+eHbfvEpS4vKmvInpyxXpd2XFcUXK3sqZz6vVJfCdEpPX8eq4vR+xS50bbYbYZ9e6Y05sVe8ajdjzuusdOY6X5Z0HqtzoayQteIr08uHTemYel4mK5ZHVk5V171T+lQmxVI/xYnLI5BfqvLk4WvCBNQo+0Yw57ysYqsi+cZjHFnhx4pkqVKHjZEa+px4Yn5iFV3yY41ZGD7MpvB5mey2+OTEZzqGLyddj+P8x0Ooh12H6VcDa89yjsqD2Is9V2/FnxNPzE/ZB4r/8LBw/mWismMvGXuee4zVqbrMFFfIPYw/fC6eMVZNP6Qtf+pyqPrQEJswHVXXKju+nQjLf+zjwPTWMZQdY1Y3b6rKc/jBp/hjHaW6HCQn1sGTLmEay65jafesqs7b0ldxhJ2vMn1j92Ptne/wxcJU3fNpbrvOx+piqEtYfmNhvI523oRhrC3Mjc/iDd8XCh9zqXTGwqTu+bhj5cCH935jOoZ1XvVIZVxyVZ7CNk/PxnGqu2Fd1bXaC8WpX+x7oiydPn1lfry+Pp8VNtdJtuVlWbhY/VNadF/hxS5Mu2TGXNjOhIz03OdNLO0+rWXxWNzeb1n6Yvkiv4pbv1ibXybL4q1z9Om1vPDvxDJZ0sH8xzgpXFgP5N+nTXno01+WrrDvoXxTXoXvrNg3vtInv9IxVvekk6/DPs/0zOpQLGzs3VvGy98XX59uxaPrsjxXemPfuDl5YPF6vz699rzOMcxXMfa6h/no4y4rKxa/9xvTM/ZuEjtrDyTfyxC7nPJs8YdHhZUM5ZH9rEwoLp+Pvi6F6QzLVRiPv/Z+Q5bmz8dresmv4tUvt92IlUVfZ0yWZxDLF6+z9Ml1sbKkvKxyYTuu+HLqYkrH1HOvk/cbyyPLE183Ynkmf/KTo7+PfzGe55eqxUinB2lW4+0bZ6skZcewEQ2TqMYrV16qUfGNt+kTCxNrfMy/HdX4hpVdDUbMxV5oJseOYTi7b8cy2W3xsXjsWBaf9FSemT8dU3kYpi28jr2gvHydx/TRi8W/tMIwdq18j31chXpUXSt+k5d7VPmoijf86DW5/kWRU3YUT/iSlSwvx9KmeznMFF7cQu6mox3D5xaP6pX5sWNMH/NfdVT5yKmTFo/qpsJUubAMW9jYUe2P74iEYWMfBz7uUGYZs7bKc6wsKM99Gky/MC2hrv5a5SGUkVM+JUPxS69x3bj6+vile9iG+/SWnUuH0OW0YZIX0z+UlcO0Tp2PlQeftrD8xtq6UEe7lq6x96qXr/Oq/K8Tn+INvwfK6lOol9qQcZ2PO1YOvHzvt0zH3DqfisvHW3Wek1/KK8+uLG6fvjI/oS5W3+q8CyTbypPiLHOxd46Fs6PFb9dlsmJ/8FkYfxSrWFrCMl0Wj+57v2XpU/vieXsd/LlPX5msKl3KnoVs9Y7NcV7nqjIiBmLp01J2XiUn1tbF6l5OvfMspYuX48tkmZ66r3jGcXXyXXU75nLzQGG9X5/emNyce6nvNi/Dx12Vx7l66lslzMOyvMr5ZvS6xs5T721rK6rSKeZex1g8ds/7lcyYq1N+LN4qWan8NBniHiuPXmf5reNicVeFV7ts+ugo/jkupWPquY/D+41xjaXJ6xw7l0xcOYF6papcDk+mTEANiD48fINpFVn39JEWdkirVFbFUYULXwqSpXhyZEkn+zhWg1L1olJ8erH4DxvFrbiscQzTVlW5pZ/0t/itcZBM3Q+dPbdjlWyFHZePxWPHqvjCD6gqjmG6yq71spOcMH/FS/lQlr8Kp7KkvPB5ZeHG/YgzfcXD2FQdpYfys4qfydTRf8xK51iHxNj48qa0iotPn5dV9VEkefIrP2F5THEL016WTsXh80PhdK37TZ3KQCyvJVtsfN3MiaNKntXLWPrC8q+4q1wuM8kQn1gaU/kSxi8WFq/0szYr9KdrcVCafPnyYVWeY+XSZFl5Uvgwz3VP6Rkn3y0eO46rr8mxY1ldkO7iGLZJVe2dZIUcjYH0ljO2djQ9/FG8wjwZp86rHKu+l+WPj1t+TTc7+uex8xhDxWVpr8r/uvGFfGN1VDr6973CVOkQS1Psno+7qhworPdbpqP8SS+r88ZbR5U7lT8rNzF9mtwri0/6Kk167nUvS2eOn1A/lRO1ZXWc4jcuirPKiXP4nWVtp57pZ7J0rHLiHqv/9m5QWspcnXi831T6rJ75emz6WLto6UvJKtM9dt/rKPlVaffh65SRsnJp+Zf7HlG992VAusdcLH+tzbL0GUsdQzmKR+XDp1H+fH7E4m1yT3H7NCke6Rp+A8Zke/3K6rKF837D9JqfukexFBPPUtfhN6qPu009Y3XG8lnxtNm+WplSmbX0Kq2KR+VbriqdYm7hdKxy3q9kVrkYA19OpZ/Fm5IVK4sKq3CqD1XlxuucSl8sPfoO9d8xMT/+nqVJR9WfHJfSMfXcx+H9xriqTPh6rXKpa6XTyovOff2JyfFxLvbzrQRgsa8LSfohAAEIQAACEJg+AW3K4RdD1+ZB73vf+6avGBpAAAIQmAABbd5x+OGHD2LS5mR33XXXBGIlCghAAALNCWhTNXNXX311o03JLPw0j9q80O8AjpmsPDfYnbmcDU8gAAEIQAACEIAABCAAAQhMnAC7hU4cORFCAAJjEJABTrvB99WFu533NR2T0Bsj4iQoEwcEIAABCEAAAhCAAAQgAIEKAt/61reGT1/5ylcOzzmBAAQgMIsELrvssqFaRx999PB81k40yjDlNBLcnEaC48oJYEQsZ8MTCEAAAhCAAAQgAAEIQAACnRK48847i7POOqs444wzBvFoRM8rXvGKTuNEOAQgAIFxCFx44YXFMcccMxRx3HHHDc9n6UR6qk094YQTijJj4jXXXFO86lWvGqrNSPAhiugJayJGsfTjpl9/oB8aoyUEIAABCEAAAn0nwDpBfc9B9J8VAjIc3nTTTYU6uevXrx+qdemll2JEHNLgBAIQmBUCaqt+/vOfFxdddFGxbt26oVqnnHJK8ZGPfGR4PSsnMg6uXr16pH095JBDipe+9KXFihUrBmp+7WtfK6666qqhynp++eWXF7vtttvwHiejBDAijvLo1RVGxF5lF8pCAAIQgAAE5oIARsS5yEYSMQMEwm95jZb51Kc+hQFxBvIGFSAAgYUEwg3wNO33/e9//0xvgqc/az760Y+OGBIXpuyxO5qSfe6552JALAP0h/sYEROAZvlx+OExy7qiGwQgAAEIQAAC80EAI+J85COpmD4BfcurE65RMUcddVTxkpe8hM7r9LMFDSAAgRICZkQ84ogjijVr1gzarL5sSKL1G7/5zW8WP/nJT0ZGHiotBx98cPG6172u1xvDlGRZJ7cxInaCFaEQgAAEIAABCEAAAhCAAAQgAAEIQAACEJgfAmysMj95SUogAAEIQAACEIAABCAAAQhAAAIQgAAEINAJAYyInWBFKAQgAAEIQAACEIAABCAAAQhAAAJ5fwfXAAAgAElEQVQQgAAE5ocARsT5yUtSAgEIQAACEIAABCAAAQhAAAIQgAAEIACBTghgROwEK0IhAAEIQAACEIAABCAAAQhAAAIQgAAEIDA/BDAizk9ekhIIQAACEIAABCAAAQhAAAIQgAAEIAABCHRCACNiJ1gRCgEIQAACEIAABCAAAQhAAAIQgAAEIACB+SGAEXF+8pKUQAACEIAABCAAAQhAAAIQgAAEIAABCECgEwIYETvBilAIQAACEIAABCAAAQhAAAIQgAAEIAABCMwPAYyI85OXpAQCEIAABCAAAQhAAAIQgAAEIAABCEAAAp0QwIjYCVaEQgACEIAABCAAAQhAAAIQgAAEIAABCEBgfghgRJyfvCQlEIAABCAAAQhAAAIQgAAEIAABCEAAAhDohABGxE6wIhQCEIAABCAAAQhAAAIQgAAEIAABCEAAAvNDACPi/OQlKYEABCAAAQhAAAIQgAAEIAABCEAAAhCAQCcEMCJ2ghWhEIAABCAAAQhAAAIQgAAEIAABCEAAAhCYHwIYEecnL0kJBCAAAQhAAAIQgAAEIAABCEAAAhCAAAQ6IYARsROsCIUABCAAAQhAAAIQgAAEIAABCEAAAhCAwPwQwIg4P3lJSiAAAQhAAAIQgAAEIAABCEAAAhCAAAQg0AkBjIidYEUoBCAAAQhAAAIQgAAEIAABCEAAAhCAAATmhwBGxPnJS1ICAQhAAAIQgAAEIAABCEAAAhCAAAQgAIFOCGBE7AQrQiEAAQhAAAIQgAAEIAABCEAAAhCAAAQgMD8EMCLOT16SEghAAAIQgAAEIAABCEAAAhCAAAQgAAEIdEIAI2InWBEKAQhAAAIQgAAEIAABCEAAAhCAAAQgAIH5IYARcX7ykpRAAAIQgAAEIAABCEAAAhCAAAQgAAEIQKATAhgRO8GKUAhAAAIQgAAEIAABCEAAAhCAAAQgAAEIzA8BjIjzk5ekBAIQgAAEIAABCEAAAhCAAAQgAAEIQAACnRDAiNgJVoRCAAIQgAAEIAABCEAAAhCAAAQgAAEIQGB+CGBEnJ+8JCUQgAAEIAABCEAAAhCAAAQgAAEIQAACEOiEAEbETrAiFAIQgAAEIAABCEAAAhCAAAQgAAEIQAAC80MAI+L85CUpgQAEIAABCEAAAhCAAAQgAAEIQAACEIBAJwQwInaCFaEQgAAEIAABCEAAAhCAAAQgAAEIQAACEJgfAhgR5ycvSQkEIAABCEAAAhCAAAQgAAEIQAACEIAABDohgBGxE6wIhQAEIAABCEAAAhCAAAQgAAEIQAACEIDA/BDAiDg/eUlKIAABCEAAAhCAAAQgAAEIQAACEIAABCDQCQGMiJ1gRSgEIAABCEAAAhCAAAQgAAEIQAACEIAABOaHAEbE+clLUgIBCEAAAhCAAAQgAAEIQAACEIAABCAAgU4IYETsBCtCIQABCEAAAhCAAAQgAAEIQAACEIAABCAwPwQwIs5PXpISCEAAAhCAAAQgAAEIQAACEIAABCAAAQh0QgAjYidYEQoBCEAAAhCAAAQgAAEIQAACEIAABCAAgfkhgBFxfvKSlEAAAhCAAAQgAAEIQAACEIAABCAAAQhAoBMCGBE7wYpQCEAAAhCAAAQgAAEIQAACEIAABCAAAQjMDwGMiPOTl6QEAhCAAAQgAAEIQAACEIAABCAAAQhAAAKdEMCI2AlWhEIAAhCAAAQgAAEIQAACEIAABCAAAQhAYH4IYEScn7wkJRCAAAQgAAEIQAACEIAABCAAAQhAAAIQ6ITA0k6kIhQCEIAABCAw5wRuuumm4qSTTlqQygMOOKD40Ic+VFxyySXFv/zLv4w8P+ecc4q999575B4XEIAABCAAAQhAAAIQgAAE+kAAI2IfcgkdIQABCEBg5gjIGCiD4emnnz6i22mnnTa4PuqoowZGRBkTV65cWei+jjgIQAACEIAABCAAAQhAAAJ9JIARsY+5hs4QgAAEIDATBDTi8Oabby7OP//8oT4bNmwYOZfh8Etf+lIhoyIOAhCAAAQgAAEIQAACEIBAXwlstWXLli19VR69IQABCEAAArNA4KCDDiquvvrqgSoyGq5fv774xCc+MZjurCnMJ5544iyoiQ4QgAAEIAABCEAAAhCAAAQaE8CI2BgdASEAAQhAAAKPEdD6iPvss88Qh6Y6a0TiscceW8iIiIMABCAAAQhAAAIQgAAEINB3AuzO3PccRH8IQAACEJg6ARkNvbFQRkVNX/b3pq4kCkAAAhCAAAQgAAEIQAACEBiDACMRx4BHUAhAAAIQgIAnsHr16uJ73/ve4JamNf/sZz9jN2YPiHMIQAACEIAABCAAAQhAoLcEGInY26xDcQhAAAIQmCUCWhPR1kWUXprO/OY3v3mWVEQXCEAAAhCAAAQgAAEIQAACjQlgRGyMjoAQgAAEIACBxwiYwVDTmrUTszmNStQGKzgIQAACEIAABCAAAQhAAAJ9J8B05r7nIPpDAAIQgMBUCZgBUQbDtWvXFgceeGCxZs2a4pJLLhnqpWnNuo+DAAQgAAEIQAACEIAABCDQVwKMROxrzqE3BCAAAQhMnYAZEGUw1E7MZij0oxGlpIyKOAhAAAIQgAAEIAABCEAAAn0mgBGxz7mH7hCAAAQgMDUCWv9QG6nYiEONRNSuzHI618Yq5nT/oIMOGj63+xwhAAEIQAACEIAABCAAAQj0hcDSviiKnhCAAAQgAIFZIiAj4bve9a6oSnp2zjnnRJ9xEwIQgAAEIAABCEAAAhCAQB8JsCZiH3MNnSEAAQhAAAIQgAAEIAABCEAAAhCAAAQgMEECTGeeIGyiggAEIAABCEAAAhCAAAQgAAEIQAACEIBAHwlgROxjrqEzBCAAAQhAAAIQgAAEIAABCEAAAhCAAAQmSAAj4gRhExUEIAABCEBgMRG45ppripe97GXFVlttNfi9/vWvL3QPBwEIQAACEIAABCAAAQj0jwBrIvYvz9AYAhCAQK8IaKfiDRs2FAceeGCx995790p3lG1O4M477yz233//Yv369SNCdtlll+L6668vdtttt5H7XEAAAhCAAAQgAAEIQAACs02AkYiznT9oBwEIQKC3BK6++upizZo1xerVqwfHT37yk71NC4rXJyAj4fHHH1+ccsopxR133DH47bvvvgOj4rXXXltfICEgAAEIQAACEIAABCAAgakSWDrV2IkcAhCAAATmjoBGHZ5++unF+eefPxiBOHcJJEHZBD7ykY+M+N1vv/2KdevWFTvttNPIfS4gAAEIQAACEIAABCAAgdkngBFx9vMIDSEAAQj0hoCmLr/5zW8ubrrppgU6r1ixYsG9ebuh9Otn6/4dcMABxbHHHss07qIofv3rXxdXXHFFodGI4oKDAAQgAAEIQAACEIAABPpFACNiv/ILbSEAAQjMJAFNXdbow0suuWQm9etaKRt9+YlPfGIkKvG4++67i3POOWfk/mK8OOGEEwbJ1ghVHAQgAAEIQAACEIAABCDQPwIYEfuXZ2gMAQhAYGYImPHMpi6vXLlysIGKRuMtJqfRlzIYKv3vete7BkmXUVVuMYzATOX1WWedNRiFqPURDzvssJR3nkMAAhCAAAQgAAEIQAACM0gAI+IMZgoqQQACEOgLARnNzGCo0Xaauqt7J510UhGOyutLmurqqXTKgKidp9euXTucunzzzTcP1oWclx2pNUU9Nk095PXCF75w5NYPfvCD4uSTTx5MY373u9898owLCEAAAhCAAAQgAAEIQKA/BDAi9iev0BQCEIDATBKQ8dBGIM6kgh0qZSMxFYVGIHqDoa7/4i/+YjAys0MVJibaNstJRXjjjTcOOdx5553Fq171qkEQjVbVjs04CEAAAhCAAAQgAAEIQKCfBLbup9poDQEIQAACs0JAI88OPPDAWVFnonpoFKIMiTKiahSmd2Jy1FFHDQ1q/lkfz20UoozG69evH/zCtR5PPPHEkfS+7GUvG/hTeg8//PBiq622Gv76yACdIQABCEAAAhCAAAQgsJgJYERczLlP2iEAAQhAYCwC//7v/z4IL0OqDInz6mQo1eY5MhLqp7TKqGjrPirdYnDaaacNEWga81VXXTW85gQCEIAABCAAAQhAAAIQ6DcBpjP3O//QHgIQgAAEpkRARjX95A444IApaTG5aDXqUCMr5WRUXLNmzeCoa03jvvjii0cMqdpAZcuWLZNTkJggAAEIQAACEIAABCAAgU4JYETsFC/CIQABCEBgXgnYhjJK37xP5/bTtWVA1G7UNr1Zz770pS+NGBDnNc9JFwQgAAEIQAACEIAABBYzAaYzL+bcJ+0QgAAEINCYwPe///1h2Hk3Ig4TWhSDKczajdqcpjCHOzLbM44QgAAEIAABCEAAAhCAwPwQwIg4P3lJSiAAAQhAYIIEbCqzovS7Mk9QhYlHpY1k9DNnayTaNUcIQAACEIAABCAAAQhAYH4JYESc37wlZRCAAAQg0BEBTem16byLxYAoo6nfSEWjL/1GKh2hRiwEIAABCEAAAhCAAAQgMCMEMCLOSEagBgQgAAEI9IeAH4U4z7syW47YOog6yoUbqRx00EHFhz70IfPOEQIQgAAEIAABCEAAAhCYQwIYEecwU0kSBCAAAQh0S8BGISqWeTcimgHRDKe2kYqNwNT0Zj1bTOtCdlu6kA4BCEAAAhCAAAQgAIHZJMDuzLOZL2gFAQhAAAIzTMBG5ElFM6bNsLpjqSYjod9IRcZCGQ31u/nmm4vzzz9/IB8j4liYCQwBCEAAAhCAAAQgAIGZJ4ARceazCAUhAAEIQGDWCPidmed9JKLS6g2lGoX5yU9+cpglSr+eez/Dh5xAAAIQgAAEIAABCEAAAnNDACPi3GQlCYEABCAwOwT8SL3Z0ao9TXz6VqxY0Z7gGZS0du3aGdQKlSAAAQhAAAIQgAAEIACBSRNgTcRJEyc+CEAAAouAgDeyWXKvueYaO+390a+JyAi83mcnCYAABCAAAQhAAAIQgAAEMghgRMyAhBcIQAACEEgTkOFQ6+SddNJJI2voWUitq6f187wBzp717ejTMO/TmfuWN+gLAQhAAAIQgAAEIAABCHRDgOnM3XBFKgQgAIFFQ0CGw9WrVxex0YchhDe/+c3DWzK+3Xjjjb3b3dgbEIeJ4QQCEIAABCAAAQhAAAIQgMCcE8CIOOcZTPIgAAEIdE1A03mPOuqoRtHI8Ni3kXyhsbRv+jfKKAJBAAIQgAAEIAABCEAAAoueAEbERV8EAAABCEBgPAIyon3pS18aT0iPQodGRNZE7FHmoSoEIAABCEAAAhCAAAQg0JgARsTG6AgIAQhAAAKLkUBfpjPL2HnYYYfVzqLtttuuuOqqq2qHIwAEIAABCEAAAhCAAAQgMN8EMCLOd/6SOgjMNYE777yz+PjHP168/OUvb2QsyYHzuc99buDtrW99a453/CwCAuFIxFmdzrx+/fril7/8Ze0c2WWXXYZhttpqq+F53ZMtW7bUDYJ/CEAAAhCAAAQgAAEIQGCGCbA78wxnDqpBoE8EzjrrrEIGh/3226+QcS/XKYz//eAHP8gKqjhe9rKXFWeccUaW/6ae7r777uJtb3tbccIJJzQVQbg5I9AXI+KTn/zkYtOmTbV/v/vd7+Ysx0gOBCAAAQhAAAIQgAAEINAGAUYitkERGRCAwJDAunXrije+8Y3F5ZdfPrzX9okZEDXlUqOm9txzz7ajGMpbtWrV4Pwzn/nM4HjeeecNn3GyOAncfPPNvUj40qVLC/3GceFoQhlQ/U/rQbIm5DiECQsBCEAAAhCAAAQgAIH+EGAkYn/yCk0h0BsCV1xxRfHBD36wM31lpLQ1297//vcXT33qUzuL6/Wvf31xxBFHDOTLkKgRl7jFTcCPRFwMBjSl95JLLilWr15d7LPPPoPfQQcdNLzWSOIPfehDi7tQkHoIQAACEIAABCAAAQgsAgIYERdBJpNECEyDgKYZX3jhha1HLSOejJRyGoV43HHHtR5HKPDUU08d3jr55JOLa665ZnjNCQTmncCb3/zmYs2aNcX3vve94sADDyx+9rOfFWvXri1e+MIXDpN++umnF/LXhdPI48suu2xgwNcSBhjyu6CMTAhAAAIQgAAEIAABCKQJYERMM8IHBCDQkMAb3vCGVg1uv/71r4uPfvSjQ22OP/74Yrfddhted3WiHW733XffoXgZEnGLl4DfnXlWN1XpIneU1osvvnhgSJQBUefeabSiH6Xpn41zfu211xZHHnlkoXpnfyCMI4+wEOg7Aa0d7NcS7mt6bC1lpUV/EOD6ScCXxdx1rdtIaU49sOVv+l7G9Oe11hxXOmJ/pM1bXZqXfGujnCMDArNIACPiLOYKOkFgjghoCqQ+BtpwH/vYxwrtOGvuda97nZ12fnzve987jEOGjC5GWQ4j4GSmCXRhKKuTYMUvQ6b96oQdx++xxx5beKOpzv1oROk1bTbjpI+wEIAABCAwXwS+853vDP986vO32+c+97lCa47L6Q81/ak+z25e8m2e84i0LW4CGBEXd/6Tegh0TkBGvzZGGMgQaZubSGmNDDzggANG9JefXXfddWSERlXc+ggL/WsNxJh73vOeN3L7/PPPH7nmYnES8Ea1LgnIOKd1B7UWoa1LaEeNTDjppJM6M+BpxKE2WDnnnHO6TCKyITAWAbX/+nPnOc95zlhyCAwBCEAgl4C+IzUK8IQTTsgNsij9aUkSfV9PcqTqogRNoiEwIQIYEScEmmggsJgJaBOUcT+wvv71r48gPOSQQ0audaGpzV/+8pdH7uufZ/2DG3NHH330yMhGyTz33HNjXgcGS63BaE5yWRvRaCyu46SnM3/iE58YGA617uDVV189gH3iiScWRx111BC8/GjU7ySdDJumj+KVPotho5lJMiauPAJqi/fff/9CS2jYplt5IfEFAQjMMwG/OZ42ySv7o7gJA/1poT+0JzEy8D3vec9wWZ0zzzyz0w0Fm7CoCqNp2FqS5KKLLqryNvKsy3wbiYgLCECgEQGMiI2wEQgCEKhLQKMIx5kCfPbZZ49E+exnP3vk2i5e8YpXFKeccopdDo4f+MAHFkz90O7RvrMpA+EXvvCFyjUWDz300BG5X/3qV0eu615olKRfS6jOOf/m1qXdjf8uRyLKSKfNSvwoQ00pvvHGGwejAm19QkuZDHpal3BSTqNxbfqyOJx22mmTipp4IDBC4J577hn5Q2jkIRcQgMCiJnD55ZcPRtPr2Ka75ZZb2hRXKeupT31qccMNNwzS8b73va/S76w9tGnYdfXqKt/q6oF/CEBgIQGMiAuZcAcCEGiBgEb1+ZF7Etl0oxVNFwk/Qp7//OeXavnud7+78CMVNaXaj4TUtArtHu3deeedt2B6tH+u84MPPnjkVp1/VUcCctFbAn4UYteJ0MhDP21eOyNrSrE3XOqed2bU8/e6OFc80k9O+nzpS18abLgyTlz6kyE0rOv6K1/5SqnYOoZ381u1xEFpRDyAAAQgAAEIQAACEIAABAqMiBQCCECgEwKaWrx27doFsptstPLjH/94gZyqG4pbowq9s2nNmvZ2zDHH+EeDkYs5U1xWrFgxEk6GzbY2jRkRzEVvCHiDXptKf+973ys0Rdm70ICoZ6FRsyt9vB461whJGRIVn/TyU6tDv6lr1UmtY6c/GVRPvdO1XwvVP2t6PilGTfUjHAQgAAEIQAACEIAABGaVAEbEWc0Z9ILAHBDQxicXXHDBSEqabLQSmzJy2GGHjcgNLxT3Zz/72ZHbb3vb24q3vOUtI9PeNGLxIx/5yIi/sotVq1YteHTttdcuuJd7Q+vaXHnllY1+T3/605PR2MirxX5MgqrhYVIj/WyUn6mmEYd+J2Td1yhFGRvNyTgW+rFnbR5l3NS0aTMgaop1U6dRxvpjwS8t0FRWTjiNji5b9zQnPH66J6ClGjRyXOtoWdslI7PuaRS5d/IrP4cffri/PQxn4XX8/9m7++BJqvre47231JSVIAsYL6AiBPDholdWQNAbHpZEedDAboECkRKMRt1gCRhjFKUWCo2ADwilgkQCWCAGsXbB8CBcXdlVBFFZrhIfAAElSgzIk1Yq5o/frc/8/M7vO2dOd5+e6enpnnmfqt9vZvrh9OlXT/d0f/uc07FkD2PRTST/kC29V41V9adbdqPIlmHddWh6PWhBZbZxyk/LqNINhaYNy6U8lfcTTzwRW52BYXWsm68ZrOUqKeivbeG9fE3/gUJkWa8bE5+PTPTZvMLpR/lszpZnHdtAxyZ1e+K3o5VdFhqfl+x7aeWy6fR98vnpO27fCZtHrvadi1nHvpeaN7bP5PUHbeXRq5YRW0+VU3la+fw8Tb7X8kfZD8LvXLgtwnXQdydcjvKQjYx80vZXfuoL0ZJueNky7FXzh8mXK2Wfsrz8ayzfcDn2/Y0dR8P1Cef1yyrb/rH1sfwsH/usVx2rbbi9+mX4/Gy8XouS9hd918N57Tucur51Hj+Kyss4BGZCYIGEAAII1CBw1llnLWRZ1v876KCD+rmuWbOmP9ym0TAl+2yvmzZt6s9nb5SXjbdXG1f2GpvX8thqq60WHn744bIs+uNVNpvXXi+44IL++La9sTLO+2ud22XDhg0D34G1a9fWmX0vrzvuuGNgGdp+fjmPPvrowkknnbSwfPny/nR6f/HFF9deljBDLUPl0fLWrVsXjq78ObZ/7rnnngs6nujvqKOO6q+jfY813JJNl/e68847D8wfO75YXrxOX+CUU04Z2F62zf2r/22JHZP9tP59uHZXXHHFgn4D/DSx95pm8+bN4ez9zzaPvqv6PdH314bFXrXcoqQ8Yt97n1dY7jC/utbN75/ax5SvL4e9j62TzMos/Hr47RquT9lnK0dd2yDFT2WPrbfKGn4v874XOj5Z8vPovCLP2tZV88q4bJ/RNoid52iY376Wb+zVztesrOGrn6euY+y4+0HeuoVlT3UIf3f8Oue9j32nfblS9qlY3rF8lZdNq++m37dsuH/V9yYv+enKtme4Pj5Pn0/Re78Mn5+fx+fr32sfCH/n/Xz2PmV96zp++PLxHoFZFXjKTERCWQkEEGi1gPobvP322wdqG6mJ4n777Tfxcl9++eW9p3aqBmSYrrnmmsIHqYTTxz4//vjjscGtGLYYo21FUShEBQFfu9Bm0/dMD1jRw1P052tEqpaiHmoyTpNiW07Rq5arMqgGovpAHHd5qn3gmy+rlqD2ybCW8Rvf+Mbekx1jZSvqYF611nxfqqr5G+Ydy5Nh0xEI+6rVU0+POuqoTN1IfO973+s/2XP16tX9Am6//faZtqua9ftm7xpWlp7xjGf0a6VrWa9+9av7Txf3y9Nvh9WW1cMN8pL6yNX3TbVqfdlVNtVwsd8gNdvXQ7piealGjWrT+Jq5RXnllaXuddNyZGI1r7Rd9HAzW7dXvepVA0VRzR+Z2TprpGr9v+51r+tNZ75+/EAGI36oYxuoRpNaLVgK/W+88cbedlbZtS2VVIOtKJ1wwglD34sLL7wwe+tb3xqdTQ+DMxuz1m+ArZ9m0nftiCOO6B/j8qbTd+nUU0/NdB7mk7p9sRqPGq4nFx944IG9ScJlad/S8Tm11YZfzijv69gPVENe6xMeG8LyfPzjHx/4HfLf0y9+8Yv9fVE+ltQnt44xX/va1/rz6nsSbs9Y6xXLQ68p+5Qdy/yyfB6x9/bd8esSzq9+wTVd+L2I5TfqMCu7HTeUz5o1a/rHWctXx3FLqdtN0+s44/uF1ndU++KOO+6Y6TusfdWOpSnra/vXOMdwWw9eEZh5gVmNjrJeCCDQrIC/C6o7f+Gd0nvvvbf0zqjm83ckbQ1idyZtXMpr7I7+KDUIVTa7q2mv/u50SlmYptsCqn1n216v55xzTu0rtGrVqoFl+OXpvWoB7r777r3aiKq1qJqJk05ahpaZt84af8ABB1SqDRnWUE6t1ZOyz4XHG9XGIbVbwNe+i9WesppJ2rZhCo/N4fi8z1pm3m+Barj42jx5tbHC/TOWX5hXXq0Yb6Blx/KSQ1jDL7Z+daxb+NurMmldfFJ5fNJnXzNI72O/66FJeM7g8yx7X9c2CL9HsW2u9QuPXeF3MsxH5cvLy9YtnMdqGtp4vcaWrW0S8w3LGG4n5af55B6W35YZ5pE3nfePlcXyS32tcz8IXcMylO3j+p6qPLHkz3tTv7+j7FNadtmy/Pi874S2X7j82O9ple3p84vlpbJXyc+cy7abvs9+28V+M5SXjqF++bHzDD9e72PH3fB4lXcMt/LzisCsC+hR8SQEEEBgbAF/AqMf4dgJVXhSEP5w63PsBNSfpNg8VQocnggrj1GCCrHy5500pZQvtl62fmWvMaeUZTLNeALWnNe2zySaEO+4444DJ70KKqoZtQKG9913XyNBw1BJzae1ziqb1jn8O/7443vjq3j4QIPyzkvhfpeyz/kgiy408i5+85bJ8OYF/PEwZRv7EobfET9unPe6ULR9Xd/XWLLxeo1dfNo8/jcylte1117bX5by0ue8VMf6pqyb3yZlZbKy+nzL9j1vomWNmuraBn59y8rjj19hgDDcPinnG+E8YbDWbBQ88esbC4po2nC6ou+T5R2+hnnkLcuXR+sxTqp7Pwhdw7KNU/ZRvr/+O6Zlp26XsmWVjffr7YO0KkP4+1jFxK+PyhBLVfKz+cu2m19fHWf0Xc1L/hogduz15RvnGJ63fIYjMIsCPFhl5uuasoIItEdATQnDh51MunRqRuabudny1FyhqDN4m45XBIoEmnjSr5rm6IEparaj900s06+zHqJiT4pW0zA9mTn800Neqibf1Ng3FauaTzi99mtrwqRxl112WbTpaDgfn6cr4L/XanrXhnTIIYf0i+G/r/2BwZvddtstGLL0UU0gLcXyOu+882x0r8nfoYce2v88iTdV101NI+TScNsAACAASURBVMvKpGao/vdWTSVjzbYnsT6W56jbQE0jffcKH/jAByzL6OsHP/jB/nB7IEN/QPAmfFBWMDr6UQ+HiyU1Q/bpOc95jv/Yf6/p/HH1Bz/4QX9c6pswj9hD7lLzSp2u6f1ATWAt3XLLLfa2kdeUfWoSBVHTXp9uuukm/7ET788888x+Od/73vcWdk307ne/uz+tjr1FD1oZ9fjRXwBvEJgTAYKIc7KhWU0E2iLwtre9rdfPVZXy7LHHHlUm70+rE4WiQKEudspO/vuZ5bzxF4Y5kzB4hgR8X4STWq1wGeoTriiF0xdNO8q4c889N3k2HwhKnqnGCcObBqecckpp4KPGxZPVGALq+9KSgjk6dvs+22xck69hH5pFF59l5XrRi16UO4mepOoDWPqdnHSqum7Wn2FRuRSMsP7YrH+youmbHle0DW699dZ+cVT20Kc/8vdv1K+lJa2zf8KsDbfXsuCrTdfGV+snUWVTH36TTNPYD9RHnyX13ZfyRGubftzXlH1q3GXE5ldgX31oWlq3bp297cSrjsN2nFGBfbA8tgJaX/VZackfa21YymvR8SNlfqZBYJYEeLDKLG1N1gWBjgh86lOf6ndAn1LkWBBFF5fhHfkwr7e85S0DJxq667vXXnsN1JRQx+i6k192waC8H3zwwXAR2RZbbDE0LHWAOp0uq+2QlxcnM3kyzQ6fRNBMtQ31EBNLRYEL1RBULRddBKi24iSS1YBMyVtlHyV9+9vfHmW2gXnCmwba35t6EMBAQfgwkoACLbqgt5psdpNHw9785jdPtEabAkCf//znBx4ApkCSHrbi05NPPuk/Vnpf9Hv1ox/9aCCvvFpoAxMlfmhi3awo3//+9+1t7+Ex/Q8teVO0DXwtOx8gzCt6WMPyiSeeyJu09cN1PnXVVVf1fkd0LLYAjY6hPk36htUk9wO/Hv79u971roEHcOihOh/5yEeyv/u7v8uOPPLI0vNMn1eX3uvBSHqQiFIdv79Nrvu//du/DSwu5Xi5yy679B9CpIeujJKKjh+j5Mc8CHRZgCBil7ceZUegowL6If7sZz879PTGvNWJ1fb74Q9/WBj4e//73z/QpFF5a5kKGIZPij7ssMN604YXBWF5/EWGjUs5ebFpw9dx5g3zauKzLiD8RYQCaJMIojWxLqMuw6+/8hg1aFa0fAUDfRBRT2vWZ/8UQpVDwUNrZnz11VdPLIh4zjnnFBV35HGqPWA1AqwmT0owP7ZAXQT7mwYKANkFUmx6hrVTQM1fdVy0p9Pqe6Gmd/pTMPGMM86o9aJegWfVPrLvoVfRspv6DvmmpmW1anwZi95PY92++93v9ovka7D1B7b4jS/7KMXUNuxijcOzzz47U9NQCxz6dffdQvjhk3o/if2grKw6H73hhhsyPaXZmvmqyauCiToOqanse97znrJsOj0+tu3bvEL+ezJKOcfd10dZJvMgMGsCBBFnbYuyPgh0REAXiuqr7DWveU1piasGFq677rr+yaBlrr4YLWinC0PdYbcTJ72qaYdOJKvcaazrYs/K2PZX9YOn/vF88oEtP7xN7++4447aijPqHewqBVi7dm0/OKj5FDBcsWJFdvzxx/eCtgoqqm9CDVcQV9OfdNJJVRbRimnVTYEP3iiYv2HDhv5+aoVMqeFz6qmnDtw0mEZfbFZeXscTUFNe1QC66KKLBoIbVjMx9h0ZZYkKsq1cubL/O6A89Lug2odW+119M/rv6CjLmcY8s7xu0/Cc1WWqywCr+at1tNq3qqWmpN+ZG2+8sV+Da1YddN6nWuuq8fzRj360b6JzQ91k+OIXv1j5/HBWrVgvBBBAQAIEEfkeIIDA1AR01159ltnd36KCKMjna4WoA+xYcFF96hx77LEDWSnY5/uYUo3DMICpO+4KRCj4kJfCzv5Xr16dN+nMDVfASsGrMPkac+G4WfwsB58mURNTeSrwqQCHX1748BLVWDzxxBOzVatW+SJ15r0u2Py+rws2BaUVyLG+otQHl9/vYysX9oOoC2HVGlYNm7w06zVL8ta7K8N1Ua9tpO+Igom6kFfSd0T7xd13313phk+43qq56gOI6i9L+1f4m6IyLFu2LJx9op/vueeesfJvy7opANWlFN7UqFr2F7/4xVVnmer0Oj76AKLOxdS0N7yRquls/2uywOPuB6OUVeeGOgfUgzjkYb89Oj98wxve0AskjpJv2+cJm623vbzj7muj9rPedhfKh0CTAgQRm9RmWQggMCSgu79qWlBW20OBEjuhUyZ5FygKNupC05ICCrHAoAKY6pPQnxzrhFq1FX3A0fLRa3hS+6pXvcqPnun3CiAqoKUab6r5luc/0wi/rxXo13ESQUTlr2CavsdqrqymyhZM1PI07rjjjhto3uzL1JX3umAL90GVXRdsqc3oVONK/Zr6JDe/X/tx9p4gokm0+9WCierSYt999+0VVttX/bflHadT1kjz2++EfiNuu+22oeBJSj51TeMvitWUUoHAMJiTuqxprpsPxKnbkC6lHXbYoV/c8Le+P8K90bHHp2c/+9n+Y+vf+6fb6jjchmNinfvBOBtAv026OaUamfZbonNUbXNr0TJO/m2Y15/D+YeOtKFsZWUI9zVVHtA2K0q+30e/rxfNwzgEEMgXIIiYb8MYBBBoSODyyy/P9t5778ImMwrY6WLPLvxiFyixfhBV4zDv5EInzWFzNfWD89znPneobyOdpOjizpKClXn52jSz9Go1Dvfff/9eE9ouNGOetP8k+kMMy6ygbRebKofrkfdZ+6CaiPsaiXnTxoYfccQRscEMmzEB1RD0fWiqSbMPIm6//fYDa1wWhNP8ltTX4qgBO8tj3NcXvvCFA1noKcdHH330wLDUD9Nct5e85CX9YupGQMrFfX+GKb/ZZ599+iXQb31Z2f2NT52bdCm4pGCYnUtppVXjtw2pzv2gjvXR75MFEZWfnuDtt7MPRumY06WkZuqWwtYMCira+W5KdyKWT95r3flpG/jrAQUIi87H9XAp/333+3pemRmOAALFAv+jeDRjEUAAgTQBnWwtLCz0/9S/YGrSBZzu/Gv+sDmZ5aFp1MG1JV2ghCdtqtXoy6D3ZR2dq5wp8/i7mCrDO97xDivKXLxeeumlveDhpJ4A3BVEqxGo8k6qFmJXLOoqp/bbTZs29R6c4WtEqImVmpRdccUVuYuyC53cCRgxkwJ+P9QKhheQqlmYmqz/w9j04W9MbJo6hqn8vo/dD3zgA0O/b6Msp+l1s5t9Vlbtv11JCkz444/6xstL+l74mnyjBnzz8m96eFEQvWo/wOMEnSa1H9TlGVroQX2WYuekNq5tr5/5zGf6QUIF48JWNXqSsaVvfvOb9nboVcFoH0wfmuD3A1Lzy5s/NtzvczpeFqUPfvCD/dHax30guD+CNwggUEmAIGIlLiZGAIFpCuhuuT/JV22NppJ/oIhqIeYFO5sqT5PLUS1ENX1RAHHeA2c+eDHvFnV+B7U/qdsBu5mgwL5qGyvAqIsFH+jXDQtLfniV9zY/r+0RUM2vrbfeOtMFbpgUtPE3cmL90fp+vc4777wwi4HP6g/R0oUXXhgN2Kn2yq677mqT9V4ffPDBgc91fvAXwgqOH3zwwb3mk+EyZPH5z38+HNz/PM11C2/2qQsS7b+xYKy2tx5Y0abkvzfq3iTvu6htYzWbFIRRH3pdSlaTy8qct5568IqvJZ7XzNvve+ruJLa9bVllr3XtB2XLsfFqtqwgl/b3MIXDfKBf077oRS8amEX9t7Yh6VgZlt3KpW2tFjeWdHM+DCL746v2g7DpvubVAwz9scbyi736PgiV3zjfD8tf+5z2PSUdL/VdjeWr4T7Q6fdxy4tXBBAYQWCBhAACCHRI4Nprr13Isqz3t/POOzdS8nvvvbe/zK222mrh4YcfbmS5bVnIOeec01v/tWvXJhXp0UcfXbjvvvv6f0kzdWSiHXfcsf9dOP744ztSaoqJQPsFzjrrrP6+pePsmjVrFjRMr/psx3291zE5TFdccUV/Gk2r3wfNr7+jjjpq4aCDDurPomN4mKctT9PvueeeA3nZsjU8PP7bOL1u2rSpv4zYGz9tbPwpp5wytFwtU8NjFpafz6vOdZOZLUPLT00xP+WlPPSn7WH52qvfPqnLseksD72Ouw30PfD56XtU5K/vXZhUBp9HOD72uco8Pu+i9S3aftoOPh9tM9s+4T7np4utb2zfk9moqY79wJZd5uqN/LYOv6PyiaXw++K/53ofOvjlyTs1+e2lPMLkx9v28ttU6+OPeZpGZY+l8BiiaTW/fT/8/i0zW17e+vhzaE2rcvh9SnmEx9Wy7aZyh9875at1UjmUvy9b0fpa+fVatD9pmX7amB3DEJgXAd3dJyGAAAKdEvAnmLET2rpXxp8kKog5b2nVqlW9EycFBmNJQcN169YtKKi2++67LyxfvnzgREsnXQq+nXTSSb3AYiyPrgzzQUStDwkBBOoR8BfX/kLNv9dF4ubNm3MX6I/Vfj5772dUPuFFtU1nr/qt8TeuNDy8ULZp9VrHBaj/ffN5+/f+Il7Dw1TXuvltEq53uEz/WQEBP68vu3/v1yMWGPF5Fr33eTa1DfTdyTsfSAmAhOtTZZ7U9fXbILb9yvYXBWH0XfLbScuOpVheselSh9WxH2hZRa6xYJm3tfda/zDIZeuh4aGPzafX8Htdtk0s3/BV28/yDfPUtDZe38swAGrz+Vf5FqWyY4h9/1PXJwz4+bLofbjfFm03X27lW3YcV/6x77/l48sSlsOmsVc/rQ3jFYF5FKA58wi1N5kFAQSmK6AmjuoMX0lNFdQsalJJTTbU/EJJfbOV9bE4qXJMK18139WTmfUglfBBImrifPLJJ2c77bRTpuYvl1xySaamz5pWHXX75r6aVk8a1rTKr6vJP9GwqL+xrq4f5UZgWgLqn/baa6/tHdt980iVR80I9QTZu+++u7A/KzWJ13E6nF+f1Q2Fb+6mJp3qx0y/JdYsTsvStOrLT03k9FujY77KFeY5Kae8PkLVlYfWQf2HnnPOOYWLn/a6qXmktqe2hcoc+spcvq973esK12NaI7UNVD59D8Ltru/iBRdc0Psudv18ILa/aFtpm2nbqfmyvkvaluF+Em4b5aX9JNze4XSpn+vYD8qWpe+pjin2PfXd5chB21rj1LVG2OTX8rbvuo5Pfn6N1/y+Ka/NM8nXD3/4w70nS+s4EW6L8NhWVA47hmgf8OulPOxYXOX7r24NrEx+ucpbTltssYUfnPxe+Wobap9UPj759fXdoPhpeI8AAqMJLFPkdLRZmQsBBBCYroACiArw6cRkUn0Unn322b2n8+lEUicr85bUF6QChHpCcHjhqoDhihUr+iQKGl588cW9AKINVJ85YdBQ01l/UjZdV16XLVvWL6rW9fjjj+9/5g0CCCCAAAIIIIAAAgggMMsC1ESc5a3LuiEw4wK68627j5NMqm2mIOU8BhDlqkCh0v7771/KfOKJJw4EEDXDunXrhuZT7UbVSuxa8rUQVXZf07Jr60J5EUAAAQQQQAABBBBAAIGqAk+pOgPTI4AAAm0SeNvb3jbR4kw6/4kWvobML7300l6wTE9mLkuxWnkKtKl5swUjLQ//lGMb1vbXsMxaLxICCCCAAAIIIIAAAgggMC8CBBHnZUuznggggEBFAQX+VPsu7N/QslEfiWrmrKQam2GfiX66MIj4+OOP2+jOvIZBxLz17cwKUVAEEEAAAQQQQAABBBBAoIIAQcQKWEyKAAIIzJOA9WV43HHHRVdbtQzDfhJjE4bBN01T1Dxa0+shLQ888EAviBnLM3WYOgc/7bTTUicvnM43ZyaAWEjFSAQQQAABBBBAAAEEEJhBAYKIM7hRWSUEEECgDoGbb765l804zXYVEAxrISr4mNc8Wg9yedOb3pTFAo+jrFOdwT5fpjrzHWW9mAcBBBBAAAEEEEAAAQQQaFqAB6s0Lc7yEEAAgSkKqHahAnVlSQEzTasA4jgBM+Xhg29arh7AEnsoiR62UmcAUcsqqvFYZhCO9+sxTmA1zJfPCCCAAAIIIIAAAggggEAXBKiJ2IWtRBkRQACBMQQU/FJtwJNPPrn3qgCe+jksShb8O/zww4smKxyn5Z5++ukD0+jhK7HmxVqeptU8qqVowT8/v8rsy6NptU6WYs2r82o82jxVXtW82pKaSZMQQAABBBBAAAEEEEAAgXkSIIg4T1ubdUUAgbkTUMDu6quvHmhSrOCbav3ZQ1FiKJpHaZwgnJbhmzKr9l5eH4pWM3Ht2rW9cumz+kX0SX0z+uBnWKNS+ceeEO3zGOe93CxZee0zrwgggAACCCCAAAIIIIDArAvQnHnWtzDrhwACcy2g2nMKrt1xxx3ZxRdf3LfwNfz6A90b1QxUoGzUIKKCh+eee24/R5Vhw4YN0WbMmsjKqKCnBeisT0bLRNP4dOmll/qPvTwGBtT8wQdER3WpuUhkhwACCCCAAAIIIIAAAgg0JkAQsTFqFoQAAgg0L6DAof4UgFMtPevfULXqwpp+VjoFy/QkYl/rz8alvCrv1atX9/tC1LLXrVvXDw7m5WFls/E+aKc8/HgtQ4FOn6wJtB9W53t7OrPKYoHOOvMnLwQQQAABBBBAAAEEEECgzQIEEdu8dSgbAgggULOAmgtbyquNaME53/+gzVP2quCeHo7iA26qgegDgGV5aLzyCYOIfj6VUdP4pODepJIvC7UQJ6VMvggggAACCCCAAAIIINBmAYKIbd46lA0BBBCoWUC1Cy2gp0CfD47ZoqwZ8ShBOT3oxPoq1PxFTZhtebFXC2TauLCWYVhuLcvWy+ap89UvLyxLncshLwQQQAABBBBAAAEEEECgrQIEEdu6ZSgXAgggMAEBNcPVA0oshbURVbtPQUAfbLRpy171IBVrIj1OAFHL8UE7fQ6bD4f9IU66dqA9aEaBylGbeZf5MR4BBBBAAAEEEEAAAQQQaLMAQcQ2bx3KhgACCExAwD+VWQFDa3qsRVkNwJe+9KWVlqx8LCCpQFtRH4gKEIZBwnBhPkioAKIPEirQ6cuseSddO9DK6wOwYZn5jAACCCCAAAIIIIAAAgjMsgBBxFneuqwbAgggEBFQUE4PWbFkwT99tuCdH2/T5b0qqKd+EPWqvBVAzGtarODfypUrsxUrVuRl1wsw+iCh8vI1ES2g5zMYpem1n7/ovQ+0VnEpypNxCCCAAAIIIIAAAggggEDXBJ7StQJTXgQQQACB8QXOOeecftNjNUHWA1cUrFOArmr/ghZAVKnU1FcBQB8EtNIqyHjuuecOPRDFxturgnY++VqIGh4GEVXuvKClzyflvZ4qraRAqCULrKoGZ13Lsbx5RQABBBBAAAEEEEAAAQS6IkAQsStbinIigAACNQpYbUTrw1CvFgD0zZ3LFql+EH3QT/lYnkXz5gXjLNDo5w2bKmuavKTyaPxpp52WN0nhcFsXC6ZqXTRMXv7J1oWZMBIBBBBAAAEEEEAAAQQQmEEBgogzuFFZJQQQQCBFQEExC/iphqClMGhnw8PXWMAvnCbvs2+e7KexIKAfVtZUWbUeNd+dd97ZWx9NP0oQ0deeVHNr5aNhKuvFF1880KTal4/3CCCAAAIIIIAAAggggMA8CCxbWFhYmIcVZR0RQAABBIYF1HzXat9prAJm9913X1LATIG7k08+eTjThCFqorxhw4aBKfVQF5XH1zRUIO+OO+4YmE6BvZ122mlgmH1QbcpRA36xfOWhpt/0hWjCvCKAAAIIIIAAAggggMC8ClATcV63POuNAAIIZFmvia4PIiq4l1dLMATTdGF/heE0eZ9jtR0VPAxrHR5++OFDWagptAKFCmBqHpVD85144om9JtlDMyQOUL4KWKops5VF+aZ6JC6GyRBAAAEEEEAAAQQQQACBTgpQE7GTm41CI4AAAvUJqOmuPaxEwTlq3dVnS04IIIAAAggggAACCCCAwKwI/I9ZWRHWAwEEEEBgNAHV4LM0as1Cm59XBBBAAAEEEEAAAQQQQACB2RSgOfNsblfWCgEEEEgWUM1De6hI3lOTkzNjQgQQQAABBBBAAAEEEEAAgZkUoDnzTG5WVgoBBBBAAAEEEEAAAQQQQAABBBBAAIH6BGjOXJ8lOSGAAAIIIIAAAggggAACCCCAAAIIIDCTAgQRZ3KzslIIIIAAAggggAACCCCAAAIIIIAAAgjUJ0AQsT5LckIAAQQQQAABBBBAAAEEEEAAAQQQQGAmBXiwykxuVlYKAQQQQKBuga9//euZ/h544IFe1vvvv3+mh9L49Nhjj2WbN2/Orr766kzvn/e85/Wm4YE1Xon3CCCAAAIIIIAAAggg0EUBHqzSxa1GmRFAAAEEGhX4xCc+kZ1++unZ8uXLs913370XIFRAcdWqVdm6det6ZVHQ8E1velO2fv36obJdfPHFQwHHoYkYgAACCCCAAAIIIIAAAgi0WIDmzC3eOBQNAQQQQGD6Avfff38vgKiA4R133NELGm7YsKH3XoFEBQ4VQFy9enUvgHjAAQf0xj366KOZplPQMS+4OP21owQIIIAAAggggAACCCCAQJoANRHTnJgKAQQQQGBOBU4++eTskksu6QUGw2bJarq8YsWKXi1DTaOAoQKHqrFoSQHGrbbaaqDWoo3jFQEEEEAAAQQQQAABBBDoigBBxK5sKcqJAAIIIFBJ4Atf+EL20EMPVZpHE6tGofoytLTTTjtlCh4qOBhLqmWoAKICh1bzMJzOaiKqdiIJAQQQQAABBBBAAAEEEOiiAA9W6eJWo8wIIIAAAqUCZ555ZnbnnXeWThdOoJqFPoio8WENRD+PTauHrKgmYiwpwKgaifrztRRj0zIMAQQQQAABBBBAAAEEEGijAEHENm4VyoQAAgggMLbAKaecMlJNxFjAUMG/WNLwc889tzfqpS99aWyS3jCbnwBiLhEjEEAAAQQQQAABBBBAoOUCNGdu+QaieAgggAAC0xWwpsh6qIoPMCowaOP0MBX1jxhOYyVXk2jVUrQnOdtwXhFAAAEEEEAAAQQQQACBrgjwdOaubCnKiQACCCAwFYETTzyx//RlBQqV9GoBRAsOKpCo/hT1NGefTjvttN4w5UNCAAEEEEAAAQQQQAABBLoqQE3Erm45yo0AAggg0JjAJz7xiUxPaQ6TBRCthqKCiOvXr+89iVlNlxVsVFBRAUQFE0kIIIAAAggggAACCCCAQFcFCCJ2dctRbgQQQACBRgUUEFSA8IEHHugtd//99+8HC31BNM3NN9/cCx4quHjcccflPnDFz8d7BBBAAAEEEEAAAQQQQKDNAgQR27x1KBsCCCCAAAIIIIAAAggggAACCCCAAAItEKBPxBZsBIqAAAIIIIAAAggggAACCCCAAAIIIIBAmwUIIrZ561A2BBBAAAEEEEAAAQQQQAABBBBAAAEEWiBAELEFG4EiIIAAAggggAACCCCAAAIIIIAAAggg0GYBgoht3jqUDQEEEEAAAQQQQAABBBBAAAEEEEAAgRYIEERswUagCAgggAACCCCAAAIIIIAAAggggAACCLRZgCBim7cOZUMAAQQQQAABBBBAAAEEEEAAAQQQQKAFAgQRW7ARKAICCCCAAAIIIIAAAggggAACCCCAAAJtFiCI2OatQ9kQQAABBBBAAAEEEEAAAQQQQAABBBBogQBBxBZsBIqAAAIIIIAAAggggAACCCCAAAIIIIBAmwUIIrZ561A2BBBAAAEEEEAAAQQQQAABBBBAAAEEWiBAELEFG4EiIIAAAggggAACCCCAAAIIIIAAAggg0GYBgoht3jqUDQEEEEAAAQQQQAABBBBAAAEEEEAAgRYIEERswUagCAgggAACCCCAAAIIIIAAAggggAACCLRZgCBim7cOZUMAAQQQQAABBBBAAAEEEEAAAQQQQKAFAgQRW7ARKAICCCCAAAIIIIAAAggggAACCCCAAAJtFiCI2OatQ9kQQAABBBBAAAEEEEAAAQQQQAABBBBogQBBxBZsBIqAAAIIIIAAAggggAACCCCAAAIIIIBAmwUIIrZ561A2BBBAAAEEEEAAAQQQQAABBBBAAAEEWiBAELEFG4EiIIAAAggggAACCCCAAAIIIIAAAggg0GYBgoht3jqUDQEEEEAAAQQQQAABBBBAAAEEEEAAgRYIEERswUagCAgggAACCCCAAAIIIIAAAggggAACCLRZgCBim7cOZUMAAQQQQAABBBBAAAEEEEAAAQQQQKAFAgQRW7ARKAICCCCAAAIIIIAAAggggAACCCCAAAJtFiCI2OatQ9kQQAABBBBAAAEEEEAAAQQQQAABBBBogQBBxBZsBIqAAAIIIIAAAggggAACCCCAAAIIIIBAmwUIIrZ561A2BBBAAAEEEEAAAQQQQAABBBBAAAEEWiBAELEFG4EiIIAAAggggAACCCCAAAIIIIAAAggg0GYBgoht3jqUDQEEEEAAAQQQQAABBBBAAAEEEEAAgRYIEERswUagCAgggAACCCCAAAIIIIAAAggggAACCLRZgCBim7cOZUMAAQQQQAABBBBAAAEEEEAAAQQQQKAFAgQRW7ARKAICCCCAAAIIIIAAAggggAACCCCAAAJtFiCI2OatQ9kQQAABBBBAAAEEEEAAAQQQQAABBBBogQBBxBZsBIqAAAIIIIAAAggggAACCCCAAAIIIIBAmwUIIrZ561A2BBBAAAEEEEAAAQQQQAABBBBAAAEEWiBAELEFG4EiIIAAAggggAACCCCAAAIIIIAAAggg0GYBgoht3jqUDQEEEEAAAQQQQAABBBBAAAEEEEAAgRYIEERswUagCAgggAACCCCAAAIIIIAAAggggAACCLRZgCBim7cOZUMAAQQQQAABBBBAAAEEEEAAAQQQQKAFAgQRW7ARKAICCCCAAAIIIIAAAggg58nT/QAAIABJREFUgAACCCCAAAJtFiCI2OatQ9kQQAABBBBAAAEEEEAAAQQQQAABBBBogQBBxBZsBIqAAAIIIIAAAggggAACCCCAAAIIIIBAmwUIIrZ561A2BBBAAAEEEEAAAQQQQAABBBBAAAEEWiBAELEFG4EiIIAAAggggAACCCCAAAIIIIAAAggg0GYBgoht3jqUDQEEEEAAAQQQQAABBBBAAAEEEEAAgRYIEERswUagCAgggAACCCCAAAIIIIAAAggggAACCLRZgCBim7cOZUMAAQQQQAABBBBAAAEEEEAAAQQQQKAFAgQRW7ARKAICCCCAAAIIIIAAAggggAACCCCAAAJtFiCI2OatQ9kQQAABBBBAAAEEEEAAAQQQQAABBBBogQBBxBZsBIqAAAIIIIAAAggggAACCCCAAAIIIIBAmwUIIrZ561A2BBBAAAEEEEAAAQQQQAABBBBAAAEEWiBAELEFG4EixAXuvPPO7P3vf3928MEHZ8uWLev/bb311r1hGveNb3wjPnPB0L/5m7/p5aXXKknL8uXQ+1HT2WefPZCX1rHp9IUvfCE7+uijs1122WWgLHvttVdvuMY/8sgjpcXSdgq3kXdS/hov76I8i/Lw+aW+l7GlMG99Tkk//elPS7+DWv+UZGWQeWqq8zuXukymQwABBBBAAAEEEFgUqOs81zxHPbcrunawc8zUc+Sy6fw5tJW76quuIT7zmc/0rgF07eaXqfLquuC6665LylbXfOH1Spif8lS5i87L/Tx1vPfXoWF+qYbKQxa6/vJ52PWTDHU9kpJsfs2Tmoq+V6l5MN0cCiyQEGiZwObNmxcOOuighSzLkv523nnnhXvvvTdpLTSdz/fhhx9Omk8Tbdq0aWBe5TNqOuusswby0vo2lbQeMvMOee+32mqrhQsuuKCwaDGXvPxs+Jo1axZC+yrb3PIpepWxpTDvMm+V7ZRTTkkyUhmUX9l30JfBl83KGHuN2camYxgCCCCAAAIIIIBA/QKxc7Gi80+Ni53nWsli+dm4oteiawd/jllWtpTxqeepeeXVtYOuIVKWpWsSmRSlquunPK+99tqhLFPKU2UaX+5wvjJDXTdUWS9dl4TXTuEK+jL4soXT+c9F3ys/He8R8ALURJzDwHGbV1k11VauXJl95StfSS7mr3/962zLLbdMmv6qq64amC78PDByBj/Id999983uvffepLV79NFHs7e//e29O2RJMyROdP7552e77rpr4d3CxKxqn0x3TnU38x/+4R+S89b3dc8990xen7//+79PvvuaXAgmRAABBBBAAAEEEJi6QJvPcyeNo1p1unbQNURK0jWJrk10jVJXUp6vec1rar9+qat8qi2p64Yq17u6LtH1SUorMZXzsMMOS67BWNd6kc/8CDxlflaVNW27gH48jjnmmGgxt9pqq+zlL395b5wOnt/5znf60733ve/Nttlmm/7nojcXXnjhwOiPfOQj2dve9raBYbP6ocj3oIMO6q12aGsWOhlS+vSnP22DCl8tP0307W9/O3oioZOLI444Irvnnnt6ee2xxx6FeYY/tDvvvHOvaUPeTDvssEPeqNzhFkD03y+b2C8vtk5aHwXAN2zYkL30pS+12XJfjz322ORpczNhBAIIIIAAAggggECjAqOc506ygG04h9b6KYBo1wx+ff11nM77Y5UZ7Bowpdsff06ed+2i5ass++23X6+bJn32282XT+9j+SjQV3SNucUWW4TZlH5WAFHXC7Egq19eeN2jjHV9okDiDTfcUFguTav8jzrqqKRpSwvNBAiEAr5aIu8RmJaAmjDHqr2rmnesOraqc19xxRW9ZrllVbttnVSt3Vfztvex/G0e/6rpbB579eOrvG+66riqzIe+1lQ59NPnsHy2vrGmASkuWr7yDMugfLUdU5KVwV6VX2oKmwvocyzFmjBrWn0/w6T13nPPPYe+ExoWS2EZtB5qbhH6+3lTbP30vEcAAQQQQAABBBCoTyDlXKzKeW5KfrHSh+fmeeeysXnt3Nleq5xDx/KLDYtdZ+U1K5bXUUcdNXQOresEjQtTeA4dK7+WH05n59phfrHPse2iYanJbO01VkblFbt20PVHbL11jRS7dtL0sWTL9q9yLkrjfK+K8mXcbAvQnDmMqvJ5KgJq3hnekVmzZk3v7smf/umfDpVJd4V0p+q2224rvRNjM3/uc5+ztwOvn//85wc+z+IH3RkMfVVjTrUwwzts+vye97wn27x58xDFO9/5zqFhKQP+5E/+pJenlhmm9evXh4Om8lkdG4dNmO0OXqxmob6Xt99+e+8uny+w7hKmNsnQndg3vOENfnbeI4AAAggggAACCHRIoAvnuZPkVC0+tbDxSbUFdZ126KGH+sG99/LSufIFF1wwME7XKh/96EcHhqV+0HJUQ0/n7j7pXLvoYSt+2km/10NMwtZOMvjQhz6UySRMuta9++67M1n6pOuV1Iet/PM//3PvgTN+ft4jMK4AQcRxBZl/bAEFb8Iq26puntJ0NgyA5RVGB1odRGNJVd314zerST+coe9ZZ51V2uRWgTNN55N+iFOfpObns/fKM/xxf+yxx2z0VF8/+clPDixfTS8+9alPDQyLfdA0mtanj33sY/5j4XttGz11joQAAggggAACCCDQXYE2n+dOUlV9zIeVFS655JKhigphGVSZIWxiPO512fve975wMdmTTz45NGwaA84888yBxWrdy7rV0rWuLMN00UUXhYNyP9MXey4NI0YUIIg4Ihyz1ScQBm+Uc0oAsUoJwgeoqM8Jn6ociP18XXh/5ZVXDhXzzW9+89Cw2IDYdN/85jdjkyYPe9nLXpY8bVMTKogcBplVEzYlSK1pNK1PustYJTCtO4qptRf9cniPAAIIIIAAAggg0B6BNp7nTlrns5/97MAidJ0Va0k2MNHvP8RaOakG46hJgdw2JlXCCAOtsXWPlV2W4bXrjTfeGJs0d5hqiralRmZuIRnRGQGCiJ3ZVLNb0DB4o5pqsSrd4wiED1QJf+zC8eMsq23zhj8y8k0Jjmk9NF14h/C73/3uWKv4+OOPjzX/JGaOnay8/vWvT17UIYccMjTtD3/4w6FhRQPU5Jwf9yIhxiGAAAIIIIAAAu0WaON57iTFdNM8bKL7lre8JXmRsebOP/jBD5LnDyeschM/nHeSn8NKGGrFFFv3vDK87nWvGxgVmg+MjHxQAFPbpa0+kSIzqMUCBBFbvHHmoWhqyhymVatWhYPG+qw7P/4pYAqi6S6Vv6MzbjPdsQo44ZnDH5mqd0gPPPDAgRKGTaMHRiZ8CIOay5cvT5hrspPETlaq3MmM3W295ZZbCgsdBmf1466nVfPjXsjGSAQQQAABBBBAoLUCbTzPnSRW7Kb5brvtVmmR4Tnx1772tUrz+4ljFQNGeYqyz7OO92EljJe//OWVsn3lK185NH3sOtpPFLrqmvCEE07wk/AegZEECCKOxMZMdQk88cQTQ1k95znPGRo2zoDwgSoWpAzvkoXTjbPMtswb63R3hx12mFrx1GQ3DGquXLlyauWxBd9///32tvcadmA8MLKmDwrOhh1KK5jNg1ZqAiYbBBBAAAEEEECgQYG2nudOkuDBBx8cyn777bcfGtbEAN2IX7t27cCiVOOvSsWAgZlr/HDPPfcM5FZ3q7uBzH//4QMf+MBQX/Q8aCUmxbCqAgQRq4oxfa0CsRpgsVpdoy409kCVV73qVb3s7NXy1kE1FnSz8V18/cUvfjFU7LqDtEMLCAboB121QdVc95hjjhkYqx/2I488cmDYND6E232XXXZppBjqTDnsT5EHrTRCz0IQQAABBBBAAIGxBbpwnjv2ShZk8LOf/WxobBMBMr9QdQf0mc98Jtt7772HKiu8973v9ZNO7b1vFadC7Ljjjo2URQ+A9K3vtFAetNII/Uwv5CkzvXas3NwLhA9U8f0B6gdOB1VfM07Tv+c975l7t3EBli1blpTFhz/84eT+GZMy7OBEZ5xxRnb77bcPfA/1oJWXvOQlWdMB3w7yUWQEEEAAAQQQQKBRAc5zG+UeWpiCYPorS2pZFHtIZNl8szRe/dvrWQBq+eUf7KIHrWzYsGGWVpV1aVCAmogNYrOoYYFY09qwVtjwXOlDzjzzzIGJrSmzDQybNM/aA1Ze9KIX2ar2X2PNDvojG3xzyimnZKqJ14a0xx57DBQjbHIwMLLmD/pxVy1Y1cr0STU377rrLj+I9wgggAACCCCAAAIdEGjTee4kuV784hcPZV/ntdxQ5okDFED80pe+1JrKCmFtwLArpcTVGmkyNee+7LLLBua1B63M24OABhD4MLIAQcSR6ZixDoFYTatYE9xRlqV+SfwdF+URNmEOP6uqueablRR7CnOs2UHR+oY/cuP2F6gf0U2bNmUf+tCHihbb6Lgtt9xyYHlhk4OBkZEPsZOlWIA8MmtvkGrFxn7c3/72t+fNwnAEEEAAAQQQQACBlgm08Tx3kkTPeMYzhrKvei0X3rwfpzm0bsorgKsHrLShL0TDCa/JYtcONm3sNVYJpErfk3oStFx8Ums8tX4iIVBVgObMVcWYvlaB2MFPT7Wto1/ESy65ZKCsvimzjYg1adZ8Rx99tE3S+dewyfb3vve9SusUPmUupb/A8GlgqumnoNo+++zTqh90g4jdRVX/KqknH9/+9rctq/5rLEDeHxl5ox/3s846K6l5RmR2BiGAAAIIIIAAAgg0INC189xJksRaPaklTeq1nIJp4c37sv4CVaHBX48sX748e9nLXpbpfF79IoYBu0muf2reuhZSv+eWYtcONi72unHjxqHBVYOtqsChp0T7cgxlygAEEgQIIiYgMcnkBHTw0w+B//FQk+Jx+yXUD1J4gFSTUf2VJc2n+asemMvyndb4vfbaa6C/PRmok92UH1gF0vy20TqsXr26dFVuuOGG0mnaNMELX/jCoeJceeWVyUHE9evXD8yvu6CpJ09+Rn3vFeRN+Z76+XiPAAIIIIAAAggg0IxA3ee5ejhLynl5M2tXbSkqd3gtpz74Urssuummm4YWGAZpwwne+ta3jn2tGOY56c/q69wntZbTgydViSAlhS3lVDlmlHT55Zf3Aq3h9d0oeTHP/ArQnHl+t31r1jw8COqgpidsjZMuuuiicWbPxp1/rIXXPPNrX/vaoRxT1y/WaXHYBHwo8w4OsBqpvujnn39+ppO6svSNb3xjKOg3Tk1WBXjHbTJeVmbGI4AAAggggAACCLRDQE1vy9IXv/jFskmmNj68llMzWZ0flyWdZ7/vfe8bmEznwKktgQZmbPmH2PXTeeedl1Tqs88+e6iLrrCf/6SMsqwXrFZfkSQExhEgiDiOHvPWIhB7apb6gkv58dHDJ3RgDZMCQOOkcecfZ9l1z6s7XGFQSg+cUS3DoqRAblibc82aNTNTQzNc97/9278dGKQ7hKeeeurAsPCDTn6OP/74cHD27ne/e2hY6gDd0dWPe/igldT5mQ4BBBBAAAEEEECgnQKxlipr164tLKxqrCkw59OBBx7oP071fexa7uSTTy69GX/CCScMBcc++MEPTnVdJrVwnd/rOsonXWeFNQz9eL3X9VpYqUPXdeNUWFCQ9oorrggXxWcEkgUIIiZTMeGkBFQLLOzoVcvad999ewHCWG0wBRgPPvjgTME+BcR857SxB6qoX0BVjc/703ifFEAqO6j76dv+PvxB1vqtXLkyuo6y1A9T+FAPBbXGCY613UjrHAZb9f3ScP/9svXQ92PXXXcdau6t7/K4TeH14/7pT3/aFsUrAggggAACCCCAwIwIxGruxc43dQ2km/rHHnvs0JofeeSRQ8OmNUDnvWGATEFPXavFKoVomLpbCrvv0fWYHGY1xa6jjjnmmOj1rra9KsrsvvvuQxypNRiHZnQD5BxuMzeatwgUCtAnYiEPI5sSeNe73pXpAR7hXTbdedGfflSsrxB1RKsgmCW9V+DGgn7hA1U0nfousfltPv+qA7UCQj7flAes6McxNRX1n6J1Ss1LHfNWfbKxfii0Pr5modZVP1yqzfnyl7+8txp6OlpeHxkKao0bHEu1mtZ0MlLw2ied4OjPfwe9o59W0+i7XEfSNvv+97/PU9PqwCQPBBBAAAEEEECgJQLveMc7hgJoVc4367hhXTfFGWec0bsW89dSuq7TebVu0tuDUMLrOCuHKiuoL8VZTrqOij1E0a53rS9IXZeG18TmosBfaj+KNk/eq67tbr/99txl5c3HcAQIIvIdaIWAAnwKsimQFjtoxobFCq4aY2GARwfbogCi8tF4BW18M2blU/aE3nBZsTKlDNMPbl155S1PHenGfFOWrSrv8pn1pCYmWlcFV8NU9h1UALEsWB3mWfZZweJYcL1sPsYjgAACCCCAAAIItFNgnPNNBZqqViZoQkHXUhs2bOi1dPKBRC1bFRTyKilovAKImncW+0IM7fUQxfvvv3/gmtOmKbsW1DVt3S2VrKJEuM2sTLwiEBOgOXNMhWFTEbBAYqxpc16B9KOjOzpWCzH2wJC//Mu/zJt9YHjsKWLjPuBlYAFT/jCKr05UNm/ePBcBRNs8CpZu2rRpqGmzjQ9f7TuoO3kyrjspMKllkBBAAAEEEEAAAQRmQ0Dnm9dee23yOZ6dbxa1bJq2jIKAuuluNepSyqPA2N133z0XAUTzUCDwggsuSN72qsmp70rdAUSVR7Ujr7nmGisarwgkCVATMYmJiZoSUBBGd9fUQe9NN92UrVu3Lgub2KrGlw6meiqVnnTlAze+JqHKrOliHRjH1kc/fPrR83eBFJxU9Xy/jNi8XRnmfa+66qrsa1/72sD6aj1koCbThxxySLJdV9Y/tZz6zuh7p+2/cePGXm1AfwdV3yt9D9WvpPqkmeT3Q3nr7mysT5TU9WE6BBBAAAEEEEAAgXYJqFmqAmi65lm/fn0vADet8826ZBSUUqBT/R5ef/31Qy1qFAxVN0p6MIzOoWe9q6Q8V1Ve0frrekzn+Wp55GsD6jpD/Ubut99+E6/MoeseBTXD/vDzys5wBJYtLCwswIAAAggggAACCCCAAAIIIIAAAggggAACCOQJ0Jw5T4bhCCCAAAIIIIAAAggggAACCCCAAAIIINATIIjIFwEBBBBAAAEEEEAAAQQQQAABBBBAAAEECgUIIhbyMBIBBBBAAAEEEEAAAQQQQAABBBBAAAEEeLAK34GpCSxbtmxqy2bBCHRdgO5su74FKT8CCCCAAAIItFWA65S2bhnK1ZQA1xpNSXdvOdRE7N42o8QIIIAAAggggAACCCCAAAIIIIAAAgg0KkAQsVFuFoYAAggggAACCCCAAAIIIIAAAggggED3BJYtUE+1e1uNEiOAAAIIIIAAAggggAACCCCAAAIIINCgADURG8RmUQgggAACCCCAAAIIIIAAAggggAACCHRRgCBiF7caZUYAAQQQQAABBBBAAAEEEEAAAQQQQKBBAYKIDWKzKAQQQAABBBBAAAEEEEAAAQQQQAABBLooQBCxi1uNMiOAAAIIIIAAAggggAACCCCAAAIIINCgAEHEBrFZFAIIIIAAAggggAACCCCAAAIIIIAAAl0UIIjYxa1GmRFAAAEEEEAAAQQQQAABBBBAAAEEEGhQgCBig9gsCgEEEEAAAQQQQAABBBBAAAEEEEAAgS4KEETs4lajzAgggAACCCCAAAIIIIAAAggggAACCDQoQBCxQWwWhQACCCCAAAIIIIAAAggggAACCCCAQBcFCCJ2catRZgQQQAABBBBAAAEEEEAAAQQQQAABBBoUIIjYIDaLQgABBBBAAAEEEEAAAQQQQAABBBBAoIsCBBG7uNUoMwIIIIAAAggggAACCCCAAAIIIIAAAg0KEERsEJtFIYAAAggggAACCCCAAAIIIIAAAggg0EUBgohd3GqUGQEEEEAAAQQQQAABBBBAAAEEEEAAgQYFCCI2iM2iEEAAAQQQQAABBBBAAAEEEEAAAQQQ6KIAQcQubjXKjAACCCCAAAIIIIAAAggggAACCCCAQIMCBBEbxGZRCCCAAAIIIIAAAggggAACCCCAAAIIdFGAIGIXtxplRgABBBBAAAEEEEAAAQQQQAABBBBAoEEBgogNYrMoBBBAAAEEEEAAAQQQQAABBBBAAAEEuihAELGLW40yI4AAAggggAACCCCAAAIIIIAAAggg0KAAQcQGsVkUAggggAACCCCAAAIIIIAAAggggAACXRQgiNjFrUaZEUAAAQQQQAABBBBAAAEEEEAAAQQQaFCAIGKD2CwKAQQQQAABBBBAAAEEEEAAAQQQQACBLgoQROziVqPMCCCAAAIIIIAAAggggAACCCCAAAIINChAELFBbBaFAAIIIIAAAggggAACCCCAAAIIIIBAFwUIInZxq1FmBBBAAAEEEEAAAQQQQAABBBBAAAEEGhQgiNggNotCAAEEEEAAAQQQQAABBBBAAAEEEECgiwIEEbu41SgzAggggAACCCCAAAIIIIAAAggggAACDQoQRGwQm0UhgAACCCCAAAIIIIAAAggggAACCCDQRQGCiF3capQZAQQQQAABBBBAAAEEEEAAAQQQQACBBgUIIjaIzaIQQAABBBBAAAEEEEAAAQQQQAABBBDoogBBxC5uNcqMAAIIIIAAAggggAACCCCAAAIIIIBAgwIEERvEZlEIIIAAAggggAACCCCAAAIIIIAAAgh0UYAgYhe3GmVGAAEEEEAAAQQQQAABBBBAAAEEEECgQQGCiA1isygEEEAAAQQQQAABBBBAAAEEEEAAAQS6KEAQsYtbjTIjgAACCCCAAAIIIIAAAggggAACCCDQoABBxAaxWRQCCCCAAAIIIIAAAggggAACCCCAAAJdFCCI2MWtRpkRQAABBBBAAAEEEEAAAQQQQAABBBBoUIAgYoPYLAoBBBBAAAEEEEAAAQQQQAABBBBAAIEuChBE7OJWo8wIIIAAAggggAACCCCAAAIIIIAAAgg0KEAQsUFsFoUAAggggAACCCCAAAIIIIAAAggggEAXBQgidnGrUWYEEEAAAQQQQAABBBBAAAEEEEAAAQQaFCCI2CA2i0IAAQQQQAABBBBAAAEEEEAAAQQQQKCLAgQRu7jVKDMCCCCAAAIIIIAAAggggAACCCCAAAINChBEbBCbRSGAAAIIIIAAAggggAACCCCAAAIIINBFAYKIXdxqlBkBBBBAAAEEEEAAAQQQQAABBBBAAIEGBQgiNojNohBAAAEEEEAAAQQQQAABBBBAAAEEEOiiAEHELm41yowAAggggAACCCCAAAIIIIAAAggggECDAk9pcFksCgEEEJi+wHe+l2U/+nGWHXtMlp1/YZb94pejlWn77bJszVtHm7dsrsuuyLIXviDL9nxZ2ZSMRwABBBBAAAEEEEAAAQQGBa67YfHzoQdn2amnD46r8ullK7Js9WFV5kifVtdirzkky3Z4bvo8TDl1AWoiTn0TUAAEEGhM4KsbsuzqL2fZk082tsiBBT32WJapDOd9KssUzMxL//Vfi+XUtCQEEEAAAQQQQAABBBBAIFVAFRK+dVuW/dfvUueod7qf/TzL1l2TZR/5eHG+jzySZZ+7LMvu+mHxdIxtlQA1EVu1OSgMAghMTEBBu69vXMx+rz0ntpjCjD92buHo/sh99s6y+x9YLO/TnpZl+/6f/ijeIIAAAggggAACCCCAAAJRAQXvfvyTLPuDp2XZyv2ik0x0oK65VGkjJamWo4Kd69Zn2RZ/RI3EFLMWTEMQsQUbgSIggMCEBVQD8IavLC5EzZCtmXBec2TfzHmSVfjzVnu3F2XZC56/eAJw88Yse8luWbZ8ed7UDEcAAQQQQAABBBBAAIF5F1AA73t3LCrs5q4fzlgbl/HNnA//i6VrpPjU9Q9VU+u7/jXLnngyy669fnJdRdVf8rnOkebMc735WXkE5kRgw8al6vwv3q0bK60+EZXUDOFfru9GmSklAggggAACCCCAAAIITEfg9u8sLXcatRCXlp7+bpddFqdVP/V05ZTuNsUpqYk4RXwWjQACIwj4O2av/vMse/iRLLvnnsU7WMruj5+ZZe88YSlj1UK0O3Kq1j+NpsG+ZqOVTNX8rap/7CEtqi2p2pMKIqpJgvoWodNh0+MVAQQQQAABBBBAAIHZFAibBP/1X2XZxm9k2f33L1WMUEul1x+5tP6bvrn0wMgdnzedVkz+Os1K5ofFWng9f9elazVds/3ZSpuT15YKUBOxpRuGYiGAQIKAmvrqx0ZV4C099an2bvH1lluXPm+zzdL7LrzbbrulUn73900TlobwDgEEEEAAAQQQQAABBGZdQA8fUaUC/6CUpz5tcK1/cvfS5623Xnrf9nfqxkkVPZR0TacAKqnVAgQRW715KBwCCBQK+B9SmzBsrnzPvTYmy7bddul9F975EwDVtiQhgAACCCCAAAIIIIDAfAnErnl8c2W1vNJDGS099zn2rhuvvqLHj37cjTLPcSlpzjzHG59VR2AmBFQtXj+ievCI+tHwzZX1g/ofDy+tpt3lWhrSzDt7gIuvzp/SefEzXc1J3ZmjSXMz24ulIIAAAggggAACCCDQFgFdw7xin8Wmvrq++f5dg82V9dmnpz/df2ruvR7gEjbFznuoiy/VNlsvNcX+5S/9GN63UICaiC3cKBQJAQQSBdTfx+rDln5Ewz407vnpYEbPetbg57Z/Ck8AHvhZ20tM+RBAAAEEEEAAAQQQQKBOAVWasOscVZzwlSa0HPUR75OaCHcp+abZqjihQCmptQLURGztpqFgCMyZgK+l51c91gGvjX/p/7Z38ddf/So+vM6h4d02n3dKbUM/fdn78AShbHrGI4AAAggggAACCCCAQDsERr1uOPTg4vL/+tfF4+sYu+6apQeghPml1DYM5yn6rIogesgkqZUC1ERs5WahUAggUItQoXeaAAAgAElEQVRArP+QWjImEwQQQAABBBBAAAEEEECgBQK/+10LCkER5kWAIOK8bGnWEwEEEEAAAQQQQAABBBBAAAEEEEAAgREFaM48IhyzIYBAzQJ1V4NX8fRksu/dUXNBg+xU1b6p6vbP2CJYOB8RQAABBBBAAAEEEECgEwKTum7YdtulB5NMCkL90OuvifSsP25iKSxjRAGCiCPCTWy2625YzLqs34NxCtDEMsYpn81bRznv+mGWPfBAlv3yocVc33y85V7tVf1X/PSnWfbqP196iEe1HJgagfEFttxy/DyayKGOfVdPor77nsV9V09p+7t3jVZy9t3R3JgLAQQQQGA+BfS7+aMfZ9mxx0x2/c+/MMtec0iW7fDcyS5nnNx1LnLt9Vm25q3j5FJ93rquX+o4H6teeuZAYHyBth0XmjouhnJa7s8fzLKHHsoyBYpHDeJedkWWvfAFtVV8IYgYbqjUz1/dkGX3Kzj1yyzz/a798TOzbOuts2y7bZeeoJSapzbuj3+SZXqQRFHSD9rGb2SZOlD9j4cXp9Rj37fZJsuev2uW7bGiONCl8qp21q8fTTtB0Jf36i8vLufo12dZ6tOedHLwC/eI9qIHZITrm2oRzuc/+3Jr+Pbb+bHV33//rix76N+z7I1vKPatnvNk5ijq/DZliZOoGZiy3Dqn0d0+++4q3yYetJJa/jv/X5bt8ieL3yV9V3XHLfzB/M//HMxN01dJfh/o0r6rdfzHf6qypsXTdm3fLV4bxiKAAAIIIJBluh649bbFc1O7HpCLXRPoglPXBOG5RZGdrm++vjHtnFnT/uTuLHvkkaVrIbsOWrF7+fWCrhE+d1mWrV5VPq3KbNcVOz4vy1IrBfjzIFvv1PNbBfLWrV9aN5t/0q9hmce5fql6zTfpdRs3f65t8gXD1lf6/qZes+fnWs8YbTcLfum4YU+Z9rn/t+vTUceRomQP43zF3lmWWvEq/O5ov0q9OVDluFhU7qrjwjLrmD5qevLJxWvixx+P+1fMlyBiRbDeD/b6a5aCd+H8+hHXn4KBCtT99V+lBZwsaKb8nrlNmOvS5yuvyjJdEIdJPxL6MdaflnvoIfkHDmsSqTJquVXuNOrH9Nnbpa1TWMbUz6kWqfnVMZ1Vqda2/dzl3Qkk1rHuXc9DJ5sK+Cv5gP801ks/inairzJ97NylUuhJzuGJvn8as+Zdvnxp+qrv2HfZd6t+Z5geAQQQQKCdAqph9q3b4mULrwlSL7TtQlm5brN1PG8NVXDiuuuz7Iknh6fx10Ev2S3LXn/k8DQ2RNcjykPnJ0qpAQ+dP/mghOVX56sPIJYFNOpcbt15jXPNV3dZyG+yAqo4ccNXlq51wooIk136YO5hpQfFJvRnKRZEfMQ9XXrb/2lTFr/qGPisZ9VWuy66sNTjYnTmFg3cQl1i/XLxJpGKFdsGFYrLg1UqYGWPPbZ4x8yCACnzplz064dQAT0lRcX3/T/xnBVciwUQw6ntB1k/gLGkL43d1dJytfzUpBMTBdEmlVItJrX8vHwV3LEaotr+V1yZNyXD2yagIKIl1d6dZnrlK6ot/be/XZp+l52X3o/yjn13MYDLvjvKt4d5EEAAAQTaIqBz5bwAYqyMf/AHsaGDw1T7TTUQlVSTUd33xJIF12IBxHB6XbPo2iUvrTxgcYzOTxRI1HVWalJAYtM3U6euNp3KofKoXEpVz92qLW2yU49zzTfZkpH7JAR23HEp12m2vlL8w66bl0pU/O43v1kav9tuS+/L3ilwqlrZk0ipx8VJLLvuPF97yOKxXfnqWK91GyMRRKyC9yX3g+LnU0BOf3a3x8Y9bwd7l/+qDegj83vtGZ/WB9f8FLZs/eD7pB8+3SXMS345Wn5ewDE2v4JoRScFsXlShqVapOQ1iWlW7re086nGp/UzMollTSJPfUfs+5LyOokyTCNPNeWx/UPdD0wz6S6hahzK3yfd5X760/2QxfdWXpX/lfsMj686hH13sbZ21/bdqtuZ6RFAAAEEZlNA5+v+usHWUtcgdm5nw+xV50FFSUEzXYhb0gV8rBJEGFyz6W3ZsRp7qqygmjyxpHMiOx/SdYuus6qkmzdWu35JzVs3Gy2AqPKpnF1O41zztX295/XaJm+7qM87S/Y8APvc9KuaL6sWdHhcsH3el0dBQLsxofGptZKVh/ZVtRKtchPCLzvvfepxMW/+tg3XMd0HZzd8fSwzmjOnbmB9ua1JpM2jGk5HrBr8obX+SXT3zW8omyd8veVbS0O0k8V+qJRneMKgaVcdttT8UV/0f7l+qUajctXOqB/uWHVVLUdfHtthN26qtsPqpEAX4qn9ECytZf67FIv8uSc/Rjuf7vBYrVFtEwV2Yidaky9N9SWoz8zUvh+q597cHKl92ViJ7KCp7aUfGp2Al/04TdJJ+15sP7fy2qv/Qc07obdpq7yy7y4eT7u071bZvkyLAAIIIDC7AndsHl433ZwMzyt0/n/Xv2bZH/5h+Xnqjf93KWim3HXTPJZ0nWHBNRsfNpVWhQDfpFLT6fwrdi2icerLXTfmlXSdpfnDdVkcO/xfZVGFiTq7WVLtRiuPlvjiCjWihkvYjiHyHOearx1rES/FrFzbxNZO2y11X7D5Nf3t31n8DltFBBuX91r1uiovn9jw1DiBHqRoyQe9bVjZqypJ6CZEal+pZflpfOpxMSWvtkyjG0oWU1IMaMPGpb4qK5aRmoipYL/6j+EpwwCiplCzV/X/kfIQA/3A60tvKa+5oh6i4pPuuujhHr7/NAVK1LdhGN3XCURe2u1/LY3RD2bencKlqQbfqSmFfuzrSKkWdSxrnDzUUbQlnbzohIrUfgHdDbM7YbET8DaugTpLV9Id/rwT+lHLzb7Lvjvqd4f5EEAAAQSmJ6DO8X1Sv4OxQIOCdu88Icv22dtPPfxeNyx9V0mqIBG7Oa7p7Ca65aLmimGQQGU5+CCbYvFVF6t5TY9VTmstoqkV7KqSlHed3ZTYuZfKoHLldTFVpYxtmHbca742rANlSBPQE8/13dV1atVr+7Ql1D+VxSt0/Ikdz1KWaH2lpkxbNk3qcbEsn7aNV+zId/OlgKLWdYRETcQR0PqzxH5kbWRZTSdNZzuMzZN3t+v++22KxVf9aOct29/R09QKUqqWYmz65z1vsE8VPWEt707hYAmWPuluY+ypsktTpL1LtQhzUxBTT7lVX3dWq1JBl+22W7z7Gk4/7mdtVzswKy9tmzzfcZc1C/Nr+/zox4tPMbfto/VSsFvN/fWd98HwSa7znx242MeNToJTaiNOsixleduPl75rekhSbP8ty6Ns/LT3Xa1j7Cnz2nf9D1zZeqSOZ99NlWI6BBBAAIGuCDw16M4oLHfZ9YgPmmnevN/fHwQPddT5iT1tNVymggC+5pvGF9WK0u++tfbSuWKV2ojKWxUh9ODJooe4hGWMfVag05+r+v7lYtOPM6zp65c6rvlS1lfrdfWXl6acZC23paU0+65N1zaxNdd11Sv2Wez3TkEi1T6bxHVEbNmjDLOKRKrsoQpa4yStrx5QO27wP/W4OE5ZbV6tf+wp93q4zO/+26aq73W7bZeOt8r1u3eMdC1OTcRxNsk4/WopiOFrIerHOBZM0Q9a2HQgL9ioddl1l+E1uuenw8M0xC6qbax+hFWuKkllG7cfglQLXy4FIM6/cPGHSice/kdf7xUosuq6fr463utkx5LW/5Zb7ROvJqDA6kWXLG4fbQu/fTSNvmuqDfeP/1TtwT6W/yiv+r6vXrUYBA5/HEbJb5Lz3PTVxXKqvGUXAKOWY1r7rr4bOtnXttd3wx8HVSbtz9a5+6jrljcf+26eDMMRQAABBLoocM89Y/Vr1bt49eu97bb+09L7e+5deq93ZQE2/3ur6f2TVwdzyjJd1PqkygFVk2pTjlvrShfyPm29lf9Uz/tpXb/Ucc1Xj0B3c2njtU2epioFHbDf4vVX269Tv3XrYmsxtbKsI9hZR1+p4bEg77iY558yXMHoj3x88ZpH18W6BrKkayMd03SdVHfSDQWf7gpuEPlxBe8JIhbgDIwKH1WukQqCjBpIDJtUqk+HWHr4keGhsWCjTRUb9/MHbezwa7jcUb5I+qKP06w31cJKr6Dj5y4b7LPExjXxuvXWg0sJT6wGx87fJ20fBYjsrnKZgIK9k3hQT2y5Fkjc4o9iY9szTOWbZADR1rTpfVcnYHq6u286ZWVp4pV9twllloEAAgggMCmBbYJzUN2k1e+qglNVk4Ju/sJV8+fduPQ3/DSd+losSuF4XSTnpWc9a3CMzh91vlA1KRhRtTKELUN+4XlrWC6bdtTXaV+/1HHNN+q6d32+Nl/b5NkqkJj3lPW8eaYxXDcc6gogqvw6pn31a6MdQzR/lePiqF5ahmrshpVsRs2vynzhMV5eed1NFORLc+YCnIFRioyr35Hw4leBxAd+lmXqBLRKG/6wWn9ehFvNdH0K+zz04+y9b25rw/JedTLif9i1LilJ5fDzKVI+6oNWUi1ULp1U6MAQnvRonJox/9Hvg0O+bCnrU2UaVZP2SSdWOvmIBXD9dNN+L5NTT88vhbbpuA8Use0TOyjad/c3vxk+aI7z/clfo/gYHTzDA2h8yukNHbdJTlHJp7Xvqky62RBeiGi4jll2cvvII/H9u2idUsd1dd9NXT+mQwABBBCYbQH1cahaMv48WL+rurmuh7CpD+XU2jzh01vtPC0UjAXmnvuccKrBz/pdT02xihpqYlfWxVJ4PiOTUR+04h/sYOWucl1n8+S92vmx3242bVPXL6Ne81k52/jKtU3xVhm3WW9x7vWMreNhKOGxQMfEUR+0knpcHHXtdTzVDY9YUpPupz41y/77v+PXS7F5Rhmm5fjrMcV/Kn5XCCJWgVc0/6F/H0TX/DqAKZqspyGlBBMVcIoFWWJl+Z2r2hobHxumi3EfRPvtb2NTLQ4L+1JRufRDV3YCcszrF2ub+fVQQFV37ar86FaxUIn1FCH/pdcwHTj223cwMKR1UMBiEtWAn/70YU/tfG0PIg6Xuv4hepJVuH3Uh2d4UqvtrmbwflrVSOSJufVvkzDHae27qrYf7o86cdYFUfjDpRsSOp7Undh36xYlPwQQQACBJgV0rmn9nfnlKjil8yi1KEoNJoY38X1+/v1//qf/lPY+Vosv74Z77JpDNxTLkipgqH9tf76g6xI9aKXqTfEwcFC27Krj23D9Muo1X9V1nbXpubZp/xZV/EXdIPjaxHq/7pr8vlvz1ir1uJg3f9nwjZsGbwJpelVU0/WQjyXErpXL8k4dr0ClT2GlNT8u5z3NmXNgooP1I6fqtnmdDlswUX3BacPnpdiTnsvu6OXllTI8fJKbn0cX8WHK60PRTycLPfAhvNOohzUUrbvPQ++rWoTNrRVJ14lCWLNM5XvhC8Kl1fNZD5IJU6zZeTjNrH9W4DbsQ0IBRHW8HZ4g6iCpfcl//3QCrDvPpMkKTGvfDfs40rHjqNcNBxC19uHTHusSYd+tS5J8EEAAAQSmJWDNFMNzcJXHgomfPL+8j0BfEUDz5rWKqms9Y+f8lrc/H9Swoj4UbR696nzhBc/3QxYrUqjv5SopvFbKq5VZJU8/bRuuX0JjlS/lms+vx7y959qmO1tcD2VRXMAn3Vip2lR3ksdF1UL0Fb1UVgUQ1QLNBxA1XJ+f+1y/NvW93yKI//hKPYlLoSZiIlR/Ml2Aq9qtatXc8q3BmlQ2kSLfalaQ16dZUR+FlkdTr1tuObykX/1qeFhsiAJ3Dz00+BAEnbyohpkCRCmpioXMlb9Pr3yF/9TM+3An11JHiOD37o7o4FaWDv+LarU78/LTyaY1GY1NE/azE5umaJgCgH77aHl5T+5TPtqXdAfZdxEw6TvBReWfp3FN77uy9XcH9Vk1JWL70iS3Q2x5o+y7kywjeSOAAAIIzI9AUTczUlAwK1arTjX4dfGpGm6xc0mdj+khZTqvOvaYYU+dU7cpqTsif/GeUhPRyv/aQxbPw/2FsM4tdc4bu86x+fxreGHvx4Xv9WDHsun9U4nbcv0Ss0i95gsN9Lnsu1s0jfeJ5Z06jGubVKnZn07XlX92YJatWz94PaoHrYR9oudpVD0ulu0D4fE7rGyj7+80+q0M+6yVhwKcYaWsPKcsywgiFuAUjlKTXf3py6ZmzOGPiX689SXWAxJiF66FmY85Un3O+VT1zqIPBPl8Yu91N1Q/9D4QpB/xcR60EluOhoUBR91Rq9J0Oi/fOoaP0uy8juVWyUMnU7ET0Sp5FE3rT/40nb5HZQfXML/wTnA4ns/1CTS578Z+lPdYUd+6jJNTF/bdcdaPeRFAAAEEZlNAF826WasuYxRMVG238Bxe3YioVt4k+1qO6T7++PDQKufs4XoM57Y0RA6rDluswOHnU79jahEz7dTm6xfvNW2nUZbPtc0oarM7j4JgqhygJuiW9B3X8xS2/Z82ZHqvqnzlk55yr+NXG1LFbitozjzuRtMPogIzeoy6osk+6Uu78Rt+SPX3Ye0wdbRZlsJgTtn0447XiUlYfVgnLWFgddzlhPPbQ1TC4XyejkB4YBylFE8L9qFR8mCedIFp7bsqYdM3V9JVmBIBBBBAAIHuCFgw8Y3Hxrtc0o3+Kl0NhWsee/BJ2QVn09ciOqfYf7/Bkus6zPeXODh2ep+4fpmefdUlc21TVWz601stbV8SVXDyFZ78uGm+j9UInGZ5KiybmogVsAonVa2eXXcZvgumYFrKg0ryMg87wfVV9fPmCYfH+sAIpxn3s5ovq/+Vrt/RGtehyvyqiZXSF2bs5K3Kcro0bWp18y6tU9vLyr7b9i1E+RBAAAEEZlWgrO+9sDJBkYMCaepySTUPwwvmW28b/eZdrKZM1b7Am7gWUfBA5Yo17y5yqzquyjapmneXpld3S2FS82gfuI1NE84z65+5tml+C6uShPpVnXSFpjqP380rjbVEgohj8QUz210wX4VWk6jT2ipV+H22z9zGf1p8X9RmPdZssGpz5uEllg/p3QVdlWVfuLJ82rqmSKmVWdeyJpGPvi/6m5Wkkyp/sA77gZiV9Zy19ZjGvivDcW6uzNo2YH0QQAABBOZTYBLdzOgC+qF/H+y3PfVBJXlbQS2OfEWGsv6EwxpcTQVS1LxbZQv7Yc5br1GGy3ec1PXrF1v32LVteB0am8bm78Ir1zZd2ErxMh7z+iz7x38a7Gs1PuXoQ8c9fv938KyH0UvS+Jw0Z66bXHfBylIsMJg3jx48EaYHHgiHLH0OO8jVnb8KnWT2MkqpHbe0xKV3Ws4r9l76nPKuikXYXFwnM+M0z0gpX+o0TQRqU8syrenCWrNVOsWeVplZ7qLApPfdpz99WLotT+Jm3x3eNgxBAAEEEOi2QNlTPau2cgmDgL/8ZbFPeA644/OKpw/HltXwCaf3n/WU1qo1H8NumXx+475v8/XLqNd845p0ZX6ubbqypYbLqUoShx4yPLxoSNXjYlFesXFht10P/Cw21XSGVQz4E0SsupnKHhOeEtSKXVDn9S2immrhD9td/xovtWr2hONiQUg/d6zj41j5/DxF7w89OMte8PyiKQbHxZaVZ/G8yAnITV8dzK+JT7FtHJ4gNFGOti3j+bsOlkhN29ddMziMT+0VmOS+qyBluI+ouZGOWU0m9t0mtVkWAggggMAkBFTbq+z387e/LV5yrIlyUa2Y8HpC53hf3RBfxnU3DHdvVPYwtfChkOHFdnxJ8aEWPAjPO+JTLw596lMHx9ZZW7At1y91X/MNis3mJ65tur1ddf2h51akpqrHxdR8bbrttrV3i6/qO1bHy6ZT+PtQ5Vj5+7ISRKyy0fSjrabK51+YZbFgoi5Qr71+MEdtlDCyG37WHEV9i+yy82Ce+sJddsXgCYROJr60frjK7j4lNQNjHR9rhxsnvfaQ4cBnXn5VLFSu8M6imitcdMlwjUR5/OjHeUvNH64dueyJwr/6j+H5n/Ws4WHzNiS2fRQoUt88seCN9iftS3knofPm14b1ndS+q3XTE8h80rHnc5cvPuHeD9f7Sf2gsu+G0nxGAAEEEOiawO3fWeyHXDdqY+dXOq9Sn+w+hUFAjQtr+xU1eVZLq/BCU08/Dpuv6voo7JNQlQtiF+e+fOH1SFjz0U+b8l7npK/YJ2XKxWnCVgm+6XZ6LvEpY+fHdV6/qJsrXbuE2yIsTWis8SobKV8gtu24tsn3auMYPbeiSgWnKsfFquv74t2G51AfojqWhzeGdGz/+c+Hp69jyJNPDuaip5xXTPSJWAXszv+3OLX6fdOfAor2RdMdq9gPzm6RL4ty0Xy+/7iicrxyn8Uahv7gr5OD++/PMtvosbxetqJ6n3u2PkXlKRunE4VVhw0/ZCZvvioWCoqGfU7qh1h9HijAaE88i3nkLd+G60fYdwZsw1NeY8HQlPmanEZNSxS0S0nqA2SUPl9WHpBlV395cAnq3Ft/qlFrd3pVFnsIj+4+6wBPmr7AJPfd/f508Zhl211rq2Omvi83fGXpWOa/G3ki+qH9l+uXLpK07++yS5at3K/8QiXMswv7blhmPiOAAAIIzKeAzlXtHFfBDP3589/Yb6iCf7qWCJMCZ5ZXOC72WdcV/jxZv+f6Db/lW4vndzqf89cqykPL1g3KqqmOZrY6t5RH+JCZWFm0vDD4GZtu1GGTun7R+dB1QQWW1DLWcc2XuqxJTafty7XNpHRnJ99jj8my8z4Vj9WEa1n1uBjOX/RZLUxfstvwMcmO5XatnBdXCvOu63oovIkSLifymSBiBCU6SNHgWCe9RT++inqrg99Y0h1BP2/YAbGfRxf2atO/bv1S4EXj9ePt8/Dz6Ichb9l+unC5sTuVfvrU99pJ9t9vOOAXm7+Khe6Eqv+A8A6r8tWJS3jyEltebJju3imQkZJ+/uDgVFX7eRmcu7lPRd+XukqhgIyaS3x943COsSC7ptI2011zAonDZtMYMql9V/mqVkDsu1Hlu6lj8ecuGzwW6jukH2DdsdPTpvNqPHR1353G94BlIoAAAgi0T+COzcNlKjr/VRBv9ar476KaavrAWd41hS1R3Z78+tHhc/C88zvNd/BB8WVbnnoNa9CpzHXd4Is9ZMYv295reboO0PmIJZWrrnJM4vpF50Prr0m/9pnUNZ956VVedZn5fPPeVzl/zMujbLjWh2ubMqX2j0+t4FT1uFh1zV/958MPvrI8io6lNo29jnM9FB7rw2b7toyCV5ozF+AMjHryN0u1DgdG5HzQ3TpFvfNSWJ017AsknE/VqXUSEDbnDafTZwUvU58WFC43LFcs/9Rh+sGUQ1kKlxmWKZxfrorilyWdhKQkVSHWnVR/4lA0X9iPQFeCiEXrVOc4BQN1gEz113Tj9H1TZ9nJa1FgUvuuvhvqm6Tsu1E0/gd3Le6rulv313+VZWesXXqgk358ix7Ywr7LNxwBBBBAoMsCf/iH5b+htn76ndS1Q16T1VhTTV2YFqUq5+BHvz4toBT21Rd2f1JUnpRxurlYdF5heYTLDctl0436WsWubBlqNq4bqlWCDuH1VXj9VbbMeR7PtU33t74qM+imRlka5bhYlqcfr4oOOial1AQuOm6Nej0UHuMVW8r7jfDlDt5TEzEAyf0oXP2pGcFdd2WZ+g3xUVxtZDUtVq06HZT1RS1KGu+b8eouoqqk5tWgUV5a/rO3W7xI/sndi1X0LfClL8B222XZC1+Q9oOt/PQl0nItKRhWVm6bNvVVtSF//et4LU7LYxQL3VlU04BbbxuM5ms7yEHrsuWWw01rbZn2qruMugtr289vU5smfPVPpNN81KALhbJMQSgFem+5Nct++VCWycy+q5paJ7Y6EdZ2UmfbRd/74dwZ0oTApPZd7S/a5vpuqFax3+d0TNQxVM2uPnZufC2tJsSK3ZeOVxpmTaz8MS3MgX03FOEzAggggECXBPTbrK47dMNMLaR0ju1/93R+pf4E9Vuqc7GypK5AfG1E/S6XXQvoHFzdNalWpJbvA1n+dzz13E7niT7p973OpHIomPqFK4tz1TWUb+mkprJ1p7quX6xrJ51Hx1rKheVu4povXOasfebapvtbVLVKf/WrpWuGvDUa5biYl1dsuI5JqvClOISe4aDrEzuO+5iOWlD547PPa9Trobvv8blk2W7/a/Bz4qdlCwsLC4nTMlndAvri+P7jVHsr5Qe/rnKoCalvWnj4X6QHIOsqg+UzLQst96c/Xaw5t2Hj0o6q2k2xpB9h9b9oSTUtU5qN2/S8IjBrAtPad72jbsBY0DFvn2Tf9WK8RwABBBBAYLECwyfPX7rRqxvACnQ1mT7y8aULaAUhU1tTTaKM6l/Pbm4qIPvOEyaxlPHzVDlfc0iW6YFxdi1ZdB3Xpmu+8deeHBCYrICuK6Z9XBxlDVOuh/RwXrtZospQ71gzUmUemjOPsoHqmkfRcN1BsqS7f00mf+dK5WiyD4twPadloeXqZCn1bqmqDlvSnQLdDSYhMM8C09p3vbluAFhSLcdYYt+NqTAMAQQQQGCeBXT+67seavpaRC28rAaOtsN++053a/jlq4albkC2MSnQWlZj1Je7Tdd8vly8R6CNAtM+Lo5qknI9pAfzWtKxPzUGYvP8/pUgYgDS+MdX/dlSPx2KCjf1Y6Xl2A+KotBHrGp81YcWOC2LoYIUDLjrX5dG6knEI+54S5nwDoEZEJjmvqu7bupiQkk1GPJOqtl3Z+CLxioggAACCNQuoGZxqnWnpICeaq01lfyDYnRBO0LfXLUWVcv3/a5v/Eat2U8lszZe800FgoUiUEFgmsfFCsXsT5pyPaRju3UvpmsmreOIiSDiiHC1zaYLXj3F2FJTP1Z+OVp+G4Jh07Iw+7JX7Xh2t1QnGNOsuVlWVsYj0KTANPfdL7mn1qtpTyyx78ZUGIYAAggggMCigJ5cqkoFSnl9cHlNcPEAACAASURBVC2Ore+/glvWrE5BzLZ0D6QWShZUbbKCR32ygzm18ZpvsIR8QqCdAtM4Lo4qkXI9ZMd2HevzrpkSl08QMRFqopOpH0Q9sVRJP1Z64tYkk/K3H20tt8l+GMvWq2mLsvLYeJ3ofOvWxU96+nXT/cVYOXhFoK0C09h3dSyzGtWqwRCrhci+29ZvDOVCAAEEEGiLgH4/9fARXVzqhvmVV02+ZOuvWVyGAnZ6WmmbkspjgUQrZ5vKl1qWNl/zpa4D0yEwLYFpHBdHWdeU6yEd03Vs1zFex/rYNVOFZRNErIA10Un1xFILJD48gaeB+cJb/lpeG58s3KSFdyl6r46LVf1XAcRjjymaknEIzK9Ak/uuqu3f/Pu+EItqMLDvzu/3kTVHAAEEEEgXUFNeCyQ+8uv0+UadUn0OWgCxDS2i/HqoPBZI9E+f9tN04X3br/m6YEgZ51ug6eNiVe3U6yEd0y2AWEO3EU+pWk6mn6CALsC33HLx0eMTXEzvC1T0BK9JLjs176YsUsuj6V6x91h9B1RZFNMi0FmBpvZdX23/la8o5mLfLfZhLAIIIIAAAhLQxeUWf5Rlt942eQ/dmH/tIe3oUim2thZI/JfrY2O7MUxBg7Zf83VDklLOs0CTx8WqzqnXQ9tsvdiEecwaiFa8ZQsLCwv2gVcE5lpg3TVL/cCcsXauKVh5BFotoGr7N/7fxSKqf1K6F2j15qJwCCCAAAIIIDABge98L8uu/vJixgQLJwBMlgi0WGCK10PURGzx94KiIYAAAggEAr7avkZ9/67FPz+Z+kdsSwftvly8RwABBBBAAAEEEEAAAQTGEZjy9RBBxHE2HvPOloCCDgQeZmubsjazJ7Bh42L/pLO3ZqwRAggggAACCCCQLrDny7JMfyQEEJgvgSlfD9Gceb6+bqwtAggggAACCCCAAAIIIIAAAggggAAClQV4OnNlMmZAAAEEEEAAAQQQQAABBBBAAAEEEEBgvgQIIs7X9mZtEUAAAQQQQAABBBBAAAEEEEAAAQQQqCxAELEyGTMggAACCCCAAAIIIIAAAggggAACCCAwXwIEEedre7O2CCCAAAIIIIAAAggggAACCCCAAAIIVBYgiFiZjBkQQAABBBBAAAEEEEAAAQQQQAABBBCYLwGCiPO1vVlbBBBAAAEEEEAAAQQQQAABBBBAAAEEKgsQRKxMxgwIIIAAAggggAACCCCAAAIIIIAAAgjMlwBBxPna3qwtAggggAACCCCAAAIIIIAAAggggAAClQUIIlYmYwYEEEAAAQQQQAABBBBAAAEEEEAAAQTmS4Ag4nxtb9YWAQQQQAABBBBAAAEEEEAAAQQQQACBygIEESuTMQMCCCCAAAIIIIAAAggggAACCCCAAALzJUAQcb62N2uLAAIIIIAAAggggAACCCCAAAIIIIBAZQGCiJXJmAEBBBBAAAEEEEAAAQQQQAABBBBAAIH5EiCIOF/bm7VFAAEEEEAAAQQQQAABBBBAAAEEEECgsgBBxMpkzIAAAggggAACCCCAAAIIIIAAAggggMB8CRBEnK/tzdoigAACCCCAAAIIIIAAAggggAACCCBQWYAgYmUyZkAAAQQQQAABBBBAAAEEEEAAAQQQQGC+BAgiztf2Zm0RQAABBBBAAAEEEEAAAQQQQAABBBCoLEAQsTIZMyCAAAIIIIAAAggggAACCCCAAAIIIDBfAgQR52t7s7YIIIAAAggggAACCCCAAAIIIIAAAghUFiCIWJmMGRBAAAEEEEAAAQQQQAABBBBAAAEEEJgvAYKI87W9WVsEEEAAAQQQQAABBBBAAAEEEEAAAQQqCxBErEzGDAgggAACCCCAAAIIIIAAAggggAACCMyXAEHE+drerC0CCCCAAAIIIIAAAggggAACCCCAAAKVBQgiViZjBgQQQAABBBBAAAEEEEAAAQQQQAABBOZLgCDifG1v1hYBBBBAAAEEEEAAAQQQQAABBBBAAIHKAgQRK5MxAwIIIIAAAggggAACCCCAAAIIIIAAAvMlQBBxvrY3a4sAAggggAACCCCAAAIIIIAAAggggEBlAYKIlcmYAQEEEEAAAQQQQAABBBBAAAEEEEAAgfkSIIg4X9ubtUUAAQQQQAABBBBAAAEEEEAAAQQQQKCyAEHEymTMgAACCCCAAAIIIIAAAggggAACCCCAwHwJEEScr+3N2iKAAAIIIIAAAggggAACCCCAAAIIIFBZgCBiZTJmQAABBBBAAAEEEEAAAQQQQAABBBBAYL4ECCLO1/ZmbRFAAAEEEEAAAQQQQAABBBBAAAEEEKgsQBCxMhkzIIAAAggggAACCCCAAAIIIIAAAgggMF8CBBHna3uztggggAACCCCAAAIIIIAAAggggAACCFQWIIhYmYwZEEAAAQQQQAABBBBAAAEEEEAAAQQQmC8Bgojztb1ZWwQQQAABBBBAAAEEEEAAAQQQQAABBCoLEESsTMYMCCCAAAIIIIAAAggggAACCCCAAAIIzJcAQcT52t6sLQIIIIAAAggggAACCCCAAAIIIIAAApUFCCJWJmMGBBBAAAEEEEAAAQQQQAABBBBAAAEE5kuAIOJ8bW/WFgEEEEAAAQQQQAABBBBAAAEEEEAAgcoCBBErkzEDAggggAACCCCAAAIIIIAAAggggAAC8yVAEHG+tjdriwACCCCAAAIIIIAAAggggAACCCCAQGUBgoiVyZgBAQQQQAABBBBAAAEEEEAAAQQQQACB+RIgiDhf25u1RQABBBBAAAEEEEAAAQQQQAABBBBAoLIAQcTKZMyAAAIIIIAAAggggAACCCCAAAIIIIDAfAkQRJyv7c3aIoAAAggggAACCCCAAAIIIIAAAgggUFmAIGJlMmZAAAEEEEAAAQQQQAABBBBAAAEEEEBgvgQIIs7X9mZtEUAAAQQQQAABBBBAAAEEEEAAAQQQqCxAELEyGTMggAACCCCAAAIIIIAAAggggAACCCAwXwIEEedre7O2CCCAAAIIIIAAAggggAACCCCAAAIIVBYgiFiZjBkQQAABBBBAAAEEEEAAAQQQQAABBBCYLwGCiPO1vVlbBBBAAAEEEEAAAQQQQAABBBBAAAEEKgsQRKxMxgwIIIAAAggggAACCCCAAAIIIIAAAgjMlwBBxPna3qwtAggggAACCCCAAAIIIIAAAggggAAClQUIIlYmYwYEEEAAAQQQQAABBBBAAAEEEEAAAQTmS4Ag4nxtb9YWAQQQQAABBBBAAAEEEEAAAQQQQACBygIEESuTMQMCCCCAAAIIIIAAAggggAACCCCAAALzJUAQcb62N2uLAAIIIIAAAggggAACCCCAAAIIIIBAZQGCiJXJmAEBBBBAAAEEEEAAAQQQQAABBBBAAIH5EiCIOF/bm7VFAAEEEEAAAQQQQAABBBBAAAEEEECgsgBBxMpkzIAAAggggAACCCCAAAIIIIAAAggggMB8CRBEnK/tzdoigAACCCCAAAIIIIAAAggggAACCCBQWYAgYmUyZkAAAQQQQAABBBBAAAEEEEAAAQQQQGC+BAgiztf2Zm0RQAABBBBAAAEEEEAAAQQQQAABBBCoLEAQsTIZMyCAAAIIIIAAAggggAACCCCAAAIIIDBfAgQR52t7s7YIIIAAAggggAACCCCAAAIIIIAAAghUFiCIWJmMGRBAAAEEEEAAgXoFHnvssezrX/96dv/991fOePPmzb15K8/IDAgggAACCCCAAAIIVBAgiFgBi0kRQAABBBBAAAETUMDvE5/4hH3svSqgd9ppp2UrVqzIdtppp97fypUrsze96U25AUIFD1evXp2de+65A3npg42zvDSdlhGmSy+9tLfM2DhNu379+uySSy4JZ+NzIKBg7sknn9zbbqMEdIPs+IgAAggggAACCMyUAEHEmdqcrAwCCCCAAAIINCGgoJwChXfeeWd/cQrSKWB4+umnZwcccEB28cUXZyeeeGIv6KdxsaCUhivAqOnWrVuX7bjjjv38FKBU0FCBRI3TNLZcvVrafffde8s67rjjesuPBRKXL1/eW44CZKRhAQUPtS0UrJW7tpWGkRBAAAEEEEAAAQSWBJYtLCwsLH3kHQIIIIAAAggggECRgIJMChQef/zx2TnnnNOfVAEoBZ8UQNywYUN/uAUKNUzjLGlaBSLXrl2bnXTSSTa496oAlvLTq8ardqOSpleQUEHBRx99dGAefVCQUMuLjdN8mj8s31AmczZAQVq5hcHX++67byCoO2csrC4CCCCAAAIIIDAkQE3EIRIGIIAAAggggAACcQEFnGIBRAUE9RdLq1at6tUUVI1Bn5SPah6GAURNo0Cg1YTz8x1++OG9LDRO04RJAUeNs6CjH698FMi0JtJ+3Ly+l5UCiKrFqcCrrwk6ryasNwIIIIAAAgggkCdAEDFPhuEIIIAAAggggIATUMBJzYtVC1DBOp80zJKCdL6vRI1TrUU/jQKOCgJaUNDmtdebb77Z3mY+iOjfx4KWtqxY/4rKULUQFbRUc2jfJLq/sDl7Iy8FVmWi934bzRkFq4sAAggggAACCJQKEEQsJWICBBBAAAEEEEBgsamwAonq6zAMNumzD/CpdpsCjrFAnywtgOfn8ca+aW24LJvO98dow/SqwKTKqWBmLKkJtmrcFT3sJTbfrA7L853W+p599tn/v737C7HivP84/uyP3Iqu9qL0olldbwoBlar9w8q6F6lioCoE1DSwhoaabgpaKNrUhCht1miL/2j9UwhxIdT1Sg1ENLkwW0VSEVRo6IVx1dwVIiZQetGb/fGZ9Dt9zpyZc+acM+fMzJn3Aydnzvx55nleM3uRj88z45YuXeoGBgaCz/r1692lS5fyag7nRQABBBBAAAEEQgFCxJCCBQQQQAABBBBAIF5AgZxGDmokn/9cQ39vjWjzQ0EFhXquoQLFaLEA0N8/uk/c7zSBl03J9YPIaF027VlTqinFEZiYmHB79uxx9+/fDxt15coV99xzz7m9e/eG61hAAAEEEEAAAQTyECBEzEOdcyKAAAIIIIBAqQSmpqaC9uoNyUlFAd/t27eDqcv+PvaWZX+dRgqqWODnb9OybY+uT/Pb6nz06FHi7pperf0UdCaNlkw8mA1dEVCwfPLkyaDuU6dOOb378IsvvnBbtmwJ1k1OTrrHjx935dxUigACCCCAAAIIpBEgREyjxD4IIIAAAgggUFkBhWwK2xQSJo1C9HE03Vlhor9vNKxTSNhoVKEFgX690eVGx2vfZkGkXviifdQ2Sv4Cy5Ytc2fPnnUHDx50O3bsCBq0aNEi94tf/CJs3D/+8Y9wmQUEEEAAAQQQQKDXAoSIvRbnfAgggAACCCBQKgF7U3L05SiNOqFpytHpzUnPKIyrxw8I/ZGC/vLTTz8dd2jT8NAOslGVTGk2kfy/t27d6nbv3l3TkE8//TT8PW/evHCZBQQQQAABBBBAoNcChIi9Fud8CCCAAAIIIFAnoBFxCus09Vefffv2Bb/rdsxhhb0peXR0NPHsCgj1IpXo6D//7ct+MKiRhtF9/cr9ZyX6+/nL/khH/1jbxz+fv92W1QZrhx9O2vZuf+ucus7W3m6fr6z1//73vw+aPjw87DRa0S+y0zM3O71+qkfXotN6/Lb1Yjmr/veirZwDAQQQQACBfhB4qh86QR8QQAABBBBAoPwCCusUJFpRkKbRf3kWhRQ2gtAP9qJtUviiacEKDf022wtUFOj5x1vAp+Pipi7rxScKU1UuXrwYTo3WsoqmIieFiBYENQo9g0qcC+qQudq+a9cuW93Vb5lq9KPOKRP9No+unjhF5WqLFX/Z1vX6W29qtpes/O53v4s9vdqpF/jo+unN260UHatroXvA/t60Tm/ubqfovvXv83bqaOUYtbWT/rdyLvZFAAEEEEAAAecIEbkLEEAAAQQQQCB3AYVIepagAjsLwXJvlHM1AWJc2Bdto8IXBYcaMaZvBWXqm8Id/3gFfAoJ1V8/dLT67BiNMtN+mrqsF6Vof4U0jcIieytzmjDHpkQrwO1FiKjAZ2xsLAh+zp8/39PAyWyj3/LSR9fLv/d0LcfHx4M2JgW20bqy/K326E3NKuvWrXOa6hwt9nejqekaCav7Q9Potb5ZsbBQx+hvT8G0igx031rRfaT6ZKRjrJiJjrdiU+Ttdxbfao+dV39Dft/0W21vp/9ZtI06EEAAAQQQqJrAwJxe/UZBAAEEEEAAAQQKIKCAyUIJhRd6QUmexUI8BX0KK5KKgg6N5lLQZ0GUwg6FiQpn4gI9jR7TeoVpSUXBjd4MrW/Vp/BRbfGDlOixK1asCALLRvXaMQqLFD6pvidPntjqht/WVwU4cQFo0sEKgnQu9UXX1Q9Vk45pZ73uH30UclnQ1ageGdiU9bj95s+fH0z1jdvWrXV6C/P69evdrVu33ODgYPC9ZMmShqeTr+4pXcsHDx403FcbLXT0A0St1/VVPSoKqy1c1n2la6fi3y+y1t+tigLMNObBzin/oxBdf4cqjUZbttr/lKdnNwQQQAABBBDwBBiJ6GGwiAACCCCAAAII+AJ+IOivjy4rENMz5Vopmvqp0W46R1KgppAxLoBMOo8CMQU9jUYq+sda4KMAplE7/GNUv6bAKhxtJUS0kZcKrZL665+n3WVr31dffZUq0FI/bBReu+fM+rjDhw8HwaHqPXDggGsWIGo/BXuyVTio+6pR6K1roXtF92BS33XfWYDYqH+6h3Q97W+l0b7tbFMwn6b4/VfomPZvIE3d7IMAAggggAACXwsQInInIIAAAggggEApBRR82ahFBQgWiDXqjI5RyKRvHRMXZvnrtK9K9IUWjc6RdpsCOI0yVOCjEVydFvVJ4Z6CnzQWOp8MrKQNEW3/Vr5V97Fjx4JANC54VNvto3rt+liAquugOtJe51ba1s19/T5Fz6O++P62/dKlS25ycjL4qWnMO3bssE1NvxUI6v7VqFgFhP69bAerTboWOndcSKj1ukZpnqlpdSqw0/M64/pj+7Tzrbba37iO128/rIz2z/qvkFRTnKPb22kDxyCAAAIIIIDA/wR4O/P/LFhCAAEEEEAAgRIIKFTQ1EpN89SoK300nXJgYCBY9kMG647CB41O0jRN7avgTt/6Hf34x9ty1uGItcvCQ/XHzmXbWvk2E4WHCo9aKdY3C0xbOTbtvgq1dA38t1VHj5WBfXRtFHSpTbbOrnMnTtFzduO3roXar/tTn+j9Zb/Vn2jRNOYXX3wxWK1jT5w4Ed2l6W+7/hppGFfUPhkqKLRr7++ndRrFGBf2+vv5ywrvdIyFvv62dpfN0b8vdR+Zn77jij2XMan/ccewDgEEEEAAAQTSCRAipnNiLwQQQAABBBAogICCAYUvChY0ykjP1tPjnW1ElbZHAzmFVwp1NDpJywpZ9My46PMWNZpKQYgFK35Y1c0RTQoS9QIP61erzApbNAJR7dfH2p+2HuubbLpV7JmDScGU2hx9jp/844K2brWx03rlp/bqXtM1acfzJz/5SfhsSj2jcnh4OAjHFZDb5/r16w2batOTdU/EFY1+VWllpGFcPd1ep3vCAkE7l4WV+jvVJ67YPZbU/7hjWIcAAggggAAC6QQIEdM5sRcCCCCAAAII5CygUEYjCC2cURhoI58UnvlhmB8gaPSSP5pJgaMCCh3rT/vV23D90Vl2HnW71WCuVSq1SaGm9aeV49UHBZEWHrVyrN83PUOwG0WOCtVU7BrFnUfG/nZdM11XuSQFRnH15LVO96Y/+k3XQy+3sXtH3/qtsFSfaJ8UDl65cqXj5us8+sjdv4etYvtbaOdeszp68a32WSBo59P9oXX2sfX+d7P++/uyjAACCCCAAAKtCfBMxNa82BsBBBBAAAEEchKIju7yA0A1SaGNRhuqKMyxkEbhoBULGOy3ggoLuCxcsW1V+44GTkkhlO2nb3+0pnlFjW2fNKGVjrWi/S0YVWhkx9s+WbXPztfJt4JqP0BU+GmjY9VOC7/1nfQW7JGRkWBUbSftsGMVtul+1sf/O9G1sOvhB7Z2XJbf//znP92///3vlqvUNG67xi0f/N8Dkvrfbn0chwACCCCAAAJfCxAicicggAACCCCAQCkE9OIGv0SDhvnz54ebFdwoQFHwFN0v3Om/L2qw39H9VEeaommmRS6a7t2oRPtt+ypcbTSdWNvjnktnIyOtHgtnk85j+0W/o/tbiGj7KTD2R5zaevtWsKdPtCjcU8jX6nVr5OjfmzZazs6rIFThoYruKbXbAkbbJ+tvs7PA0Oq3e7rbAaLO98wzz7gvvvjCTp36+969ew3/ZtNUlNT/NMeyDwIIIIAAAggkCxAiJtuwBQEEEEAAAQQKJGABiDXJgoKk37a/nv1mIxS1TsGKhSi2j+oo+jPirJ+9+pavP4rNziszBYPaHg32tE/cOjs2y29dw7j22Wg7bbfr7J/36aef9n9msmxBqSpTm/x7U8v62L2m50P2KkS0c1ono79tfTe+f/CDH7Q1EnHhwoUdN8f8e9nfjhtNBQgggAACCJRAgBCxBBeJJiKAAAIIIIBA6wIWIGgkmIIdm7asUWF6nqJ+2xRUhU3RYMeCiGZnbjRCrdmxRd4us7iQTmYaoahtesZfXiXpuXgKjPUmbl13jThMKlleN7vXdK64+0b3lwWN9p3UrizXx7Uly/ob1fX+++832tyTbXn2vycd5CQIIIAAAgj0WIAQscfgnA4BBBBAAAEE2hOIjipTcNMoJPBHxCns0lubdYzCQwsUdbzCJoWK0br8335I1F7ri3uU9c3vb5attXrtPFnWXZS6/JCwWZvMo9l+nWw36+i57G/ItndyjiIfa/2L9r/IbaZtCCCAAAIIlEGAtzOX4SrRRgQQQAABBBBwy5Ytq1GIPu/Nf4GKAkQ/MBkbGwumMWtkmkag6eUW9tELWGxf/wRVCSAscPGfKek7dLpsttHr1Wm9RTreD6zj+mnGanPc6M6s+xLXBp3D7mm1x29T1ufvVn1J/Yqez/az/ka38xsBBBBAAAEE2hMgRGzPjaMQQAABBBBAoMcCGjHoF5uKbOtsdKF+b9y40VYHL9ewKaQWKujblsMdIwv+9jIGLpHuJP60vlnYl7hjmxus3jTBlbWlzVPldtjOnTvDc/v3oVbqtx9qjY+Ph/t2a8HO54ebOpfuabsetk/aNuR1bay9aqdv6y/7fVA7rW/+sf4+LCOAAAIIIIBAewKEiO25cRQCCCCAAAIIZCyg//m3sE9VKwjwgwsFIFevXg3Pqjfz6u272k/PwLPgQM/K859v+OjRo/AYPctPb+WNfjRS0V6+Eu7sXBi4+O3yt/fDsrn5oWmW/VK9FmY1clQ7rC06f1JIlGXb/LosfPLb4G9vtKz+aUq8iurR/aS+qg/2ZmY5aCSsWTSqr5NtZqzzxIVoNhKyFV+Z+H+LWrbzdNLWNMf6/3ig8w4ODgaPJtDfcty1snVJ/U9zTvZBAAEEEEAAgXgBQsR4F9YigAACCCCAQI8FFi9eXBdUKDDwiwKQ27dvh1NCFdDoOAWACg0U0ujjB2L+qES/Ln9ZgYqCyGiQaCGMH6D4x3W6rCAmGmjG/VZY2o3iB0HdDLdspN7FixdjuyFfPbPSL1oni24WnWPfvn3BuXUf2UfntSAw7flVj6bGy1H3k/qjOnQO3bcKwBVwd7vYCN2k+97W6y3RaYrqs+eJ+vtrXbfuS/88+nv23eSpv28959T+Pv39m/Xf35dlBBBAAAEEEGhNYGAuy1fTtXZu9kYAAQQQQAABBDoSsBFSChP84NCvVEGZhTnRoEyBhI1c0jGqQ89KtKJgSCMeNRqqW28iVhBjo9XUPjuP2n3s2LEgkFI45Qcp1r5OvxW4aESX/B48eJC6Ogsfo55JFchZgXDUN2n/TtenbZ+9ydlCKYV9tk5t6KS9ae7NTvsZPV7OFvjpeqr9cUVhqdqnfeKCuLhjirBO17XR33ra/hehL7QBAQQQQACBMgowErGMV402I4AAAggg0ERgdnbWTU9Pu4mJCbd06dIme5d3swIFBVlJYYlCBYVk+tZ+Gg2mkYz2UYiigM5KtB4LyVqZ+ml1pf2Ohjj6rY+CS79taetrZb+0YVu0TrmYTXRb3G+5akSZrkN0tGfc/p2ua7V9Cmhtmq+mwtt9oPa2e+2b3Zud9jHueJver5Gf1oe4/XQtVDT6tkxF17VRv9L2v0x9pq0IIIAAAggUSeCpIjWGtiCAAAIIIIBANgLDw8PZVFTyWhSS2UjDpADCD8P8ZXXdgiWFSaonGvh1m0fnazSirNPz2xutbYprp/U1Ol7hnKYzK7iSa9S60bHd2qY2qS3RYEq/dc1Ven3N2+2r7nWNmlV//GeCxtWngFrBqUI3jUb1nzsYt38Z1ln/1Zdm/S9Df2gjAggggAACRRRgJGIRrwptQgABBBBAAIFMBPygSmFJdFSZgiIFLyoKjuzZfXZyrbOAxZ61Ztu6/a2AR+1ViBUNubI4tz/KzsLSLOptVIdGgupcvXqeXqO22DbdI35QaIGxtke32TFF+9Z9oin7aq+mw6e5XzTKVWGbRur2YnRoN838/qtfafrfzfZQNwIIIIAAAv0qQIjYr1eWfiGAAAIIIIBAECYouFJIpHBIQYtemmEv0NC3wkEFWxZwRdlslF7aF1FEj2/lt9qoEVUKRTRiL+lFJK3UmbSvzqHzKST1Q7Sk/bNaL2dNp9VzIHU9bKRoVvV3Wo8FagqibNpvp3V263jZKZBVEKi3Q6cNEK096p9CNz17U/Xo3itT6bT/ZeorbUUAAQQQQKAIArxYpQhXgTYggAACCCCQsUD0rba8R80FYaFCMxX71sgthUX6TiraV2Gjip6lmHXgZqOo4s6vkWLdCrIUPClAVYjUjZe2xPUnus4C3KKMHFOIpmBTRS42CjXa7iL91ohVtbNTw6JdZf13WQAAH95JREFUizTG+ttUu7Pof5rzsQ8CCCCAAAJVFyBErPodQP8RQAABBPpSgBAx28uqUYEaoaZAL+vnrfkhosJMBZUqCi4VjnQjRLRgVMGTztdpAJWtdj61ycRGRso8r2A1n95zVgQQQAABBBBAoLkA05mbG7EHAggggAACCFRcQFNFVez5ib3g0Eg4m0qd9fkUiCo0a/YW36zPW9T6ZKHp1Zoem+fIzKL60C4EEEAAAQQQQEAChIjcBwgggAACCJRQYHZ21k1MTLhVq1YFz/jTyMOFCxe6rVu3uunp6RL2qNhN1kg9jU5T2KTpo70oek6jPppim+VzA1WXnoGnUY+Mtvv6Sioc1rRYXWN/CrPsdc0pCCCAAAIIIIAAAoSI3AMIIIAAAgiUSuDx48du7969bnh42J08edLdunUrbP+TJ0/cuXPn3LZt28J1LGQnoGnMCt40tTnLUK9RCxVg6YUXCriyKmq/igIzpjG7IBTWyExdXwWIMtdH11ijE+1FK1n5Uw8CCCCAAAIIIFBWAUYilvXK0W4EEEAAgcoJKEBcv369m5ycrFzfi9JhvVlYRS8l6UWx6dNZhX0KxBRIanq2RjlWvSgstFBVNoODg+FHz6TUSMSs7KtuTf8RQAABBBBAoPwCT5W/C/QAAQQQQACBagi88cYbNSMPrdcKPlavXh38vHnzptOIxKxK9AUtaevt17dBK1BSkKgXcOhjoWJal+h+NrXY1iu00shDK/qdVVFIpsBMAWLWL4fJqo29rkcmChIbFULERjpsQwABBBBAAIEqCfB25ipdbfqKAAIIIFBagevXr7s1a9bUtF9Tmo8fP+42bNhQs/706dPulVdeqVnXbqhHiFjDGP5Q+KfRiAqYzp8/3/ZoNdWTJijUNOqhoaHw/K0u6DmOChB563CtnOx1DRqVTu0b1c02BBBAAAEEEECgTAKEiGW6WrQVAQQQQKCyAnphip53aEWjD/U8xCVLltiqmu9o+NduiKjwsp0yMjLSzmGlO0ZTg/0XcRS1AxaUdRJEFrVvtAsBBBBAAAEEEECgNwKEiL1x5iwIIIAAAgh0JBANBQ8ePOh2796dWGd0/3ZDxMQTsAEBBBBAAAEEEEAAAQQqJcAzESt1ueksAggggEAZBeJGAz7//PNl7Epim6OhZ+KObEAAAQTaEOAfUtpA4xAEEEAAAQQiArydOQLCTwQQQAABBMogkDSNuQxtp40IIIAAAggggAACCCBQPgFGIpbvmtFiBBBAAAEEeibQ7gjBVkf9tLp/zwA4EQIIIIAAAggggAACCAQCjETkRkAAAQQQQKCEAo8fPy5hq2kyAggggAACCCCAAAIIlFWAkYhlvXK0GwEEEECgMgLz5s2r6+tHH33k9Mbmbpdr1651+xTUjwACCCCAAAIIIIAAAiUQ4O3MJbhINBEBBBBAAIGFCxe6J0+ehBDDw8Pub3/7m1u0aFG4zl+ITkNuNl147969bnJy0jXbzz8HywgggAACCCCAAAIIIFAdAUYiVuda01MEEEAAgRILaNThyZMnwx7cv3/frV+/3h05csSNjIyE67Vw+vTpmt/Nfhw6dCgIEJvtx3YE8hA4c+aMu3jxovvyyy/zOH1b59Tf5fLly9s6loMQQAABBBBAAIGiCjASsahXhnYhgAACCCDgCczOzrqVK1fWjEa0zYODg2716tXBz5s3b8buEzfCUM9VfPXVV925c+esKkYihhIsFEVgbGzM3blzp1Qh4vnz592mTZuKQkg7EEAAAQQQQACBTAQIETNhpBIEEEAAAQS6LzA9Pe22bdvW1omiIaLqmpiYqAsco/u1dTIOQiAjAY0+VEiuUE4j+x4+fJhRzd2tZmhoyOlDQQABBBBAAAEE+kmA6cz9dDXpCwIIIIBAXwvYi1Tiwj+/4wpd/Ocn+tu0fP369Zowstn+0eP5jUCvBD7++GO3YMECt3bt2uCbYK5X8pwHAQQQQAABBBCoF/i/+lWsQQABBBBAAIGiCihIvHfvnjt16pRbt25dTTP1W+u1PU3R/pomalOh0xzDPgj0UmBqaioMEHt5Xs6FAAIIIIAAAgggUC/ASMR6E9YggAACCCBQaAG9kXnHjh3BJ6mhjaYlz5s3z509e9bZyMakOliPQN4CCrnHx8fDZhw9ejRcbmVh+/btwUjGVo5hXwQQQAABBBBAAIFaAZ6JWOvBLwQQQAABBConoLc8X7lyJeh3o/CxcjB0OFcBBYgrVqxwDx48CJ8vODAwUNMmTXWOvrU5bh0vOqlh4wcCCCCAAAIIINCWANOZ22LjIAQQQAABBBBAAIFuCly4cCF4mUrccxB37doVPPdTz/7U8xL9otBRYfi7777rr858Wc9r1PNE9fnlL3+Zef1UiAACCCCAAAIIFE2AELFoV4T2IIAAAggggAACCLiZmZm6gFAsGmm4c+fOptOTNYVZb3TuVtFISY2CtE+3zkO9CCCAAAIIIIBAUQQIEYtyJWgHAggggAACCCCAQCCgYE4j/UZHR2tEFApu2rQpnN5cszHmx5tvvtm1IFEhJwUBBBBAAAEEEKiSAC9WqdLVpq8IIIAAAggggEAbAgr1NL344sWL7uHDh+FzCLU+WjSdWKMFOyk6l+qITlW+fft2S9UqcNQny6L+Hzt2LPCwes+cOVPzOwsDq5tvBBBAAAEEEECgKAKEiEW5ErQDAQQQQAABBBAooIBGBL700ktBeJhV8yx8TAobFVYqQEzanlU72qlHbbf22/EaIelPndb2Irbd2ss3AggggAACCCDQjgAhYjtqHIMAAggggAACCFRAQCMCFSBaaKZgTM8aVLCoZwKq6CUny5YtCzUahWeqZ//+/U4j9zRCMOnlJ6r7yJEjYZ1FWlBYqHbLQKMSVWxdkdpJWxBAAAEEEEAAgawFCBGzFqU+BBBAAAEEEECgDwQU+OmtwxYg6i3JV69eDZ5HqPBs8eLFQS8VCGqacdxblH2Gffv2uampqSBwU50KKPXMwuhxWq/6/ZF9fj0sI4AAAggggAACCOQjwItV8nHnrAgggAACCCCAQKEF/JF2aqgf+Cn4s/DPRhc264xGMCpsPH/+fHCsjlMAGS0ahagA0eqPbu/098jIiPvmN7/Z8ufWrVudnprjEUAAAQQQQACBUgsQIpb68tF4BBBAAAEEOhe4fPmym5ubCz6d10YN/SJgU3WtP9EXlPi/FQbaiEXbP/qtUNCmOiuQVNELSqJFoxU3btwYXZ3Z7//85z/uX//6V8sfHUdBAAEEEEAAAQSqLECIWOWrT98RQAABBBBAAIEEgUePHoVb/ADQVs6fP98Wg+9o6FizMfJDAaTqjI5G1ChE1RN9K3Pk8I5+3rx5s+UAUaHjD3/4w47Oy8EIIIAAAggggEDZBQgRy34FaT8CCCCAAAIIINBlgbhRhjaq0E4d/W3r47617/j4eLBJz120oinU2tbNENHOleV3nE+W9VMXAggggAACCCBQBAFCxCJcBdqAAAIIIIAAAggUTGB0dLRhi/yRigr+WgkRVbHe6qzij0acmZkJ3trc8MRsRAABBBBAAAEEEMhFgBAxF3ZOigACCCCAAAIIFFvAHw2ooE+jBP2iqcdW9NKUVkNE7W9B4v79+4MwUefo5vMQrb1ZfPv99W1amdadRTuoAwEEEEAAAQQQ6JUAIWKvpDkPAggggAACCCBQIgGFZHqTspWXXnrJFt3Ro0fDUFFvUrYXpYQ7pFyw4xS8qU4V1Ze2KNyMhna9mlocDVnHxsacjFasWBHapO0H+yGAAAIIIIAAAmUQGJjT6xgpCCCAAAIIIIAAAgjECFy4cMHpuYUW1ilcVFCnbwVp7777bsujEP3TKHjT252tPj+49PeLLqs9mzdvdv6ISNtHdfhvj7b1WX7LQMGhf371QcFoOyMzs2wbdSGAAAIIIIAAAt0QIETship1IoAAAggggAACfSagMNFG+enNyhoxqNCs06I6BwcHg2oUwO3bty91lX6A5x+kdqmNvSjmkqVJL9rNORBAAAEEEEAAgVYFCBFbFWN/BBBAAAEEEEAAgUwFbDTigwcPehb+ZdoBKkMAAQQQQAABBCogQIhYgYtMFxFAAAEEEEAAgSILaGqyRhV2ewpykQ1oGwIIIIAAAgggUHQBQsSiXyHahwACCCCAAAIIIIAAAggggAACCCCAQM4CvJ055wvA6RFAAAEEEEAAAQQQQAABBBBAAAEEECi6ACFi0a8Q7UMAAQQQQAABBBBAAAEEEEAAAQQQQCBnAULEnC8Ap0cAAQQQQAABBBBAAAEEEEAAAQQQQKDoAoSIRb9CtA8BBBBAAAEEEEAAAQQQQAABBBBAAIGcBQgRc74AnB4BBBBAAAEEEEAAAQQQQAABBBBAAIGiCxAiFv0K0T4EEEAAAQQQQAABBBBAAAEEEEAAAQRyFiBEzPkCcHoEEEAAAQQQQAABBBBAAAEEEEAAAQSKLkCIWPQrRPsQQAABBBBAAAEEEEAAAQQQQAABBBDIWYAQMecLwOkRQAABBBBAAAEEEEAAAQQQQAABBBAougAhYtGvEO1DAAEEEEAAAQQQQAABBBBAAAEEEEAgZwFCxJwvAKdHAAEEEEAAAQQQQAABBBBAAAEEEECg6AKEiEW/QrQPAQQQQAABBBBAAAEEEEAAAQQQQACBnAUIEXO+AJweAQQQQAABBBBAAAEEEEAAAQQQQACBogsQIhb9CtE+BBBAAAEEEEAAAQQQQAABBBBAAAEEchYgRMz5AnB6BBBAAAEEEEAAAQQQQAABBBBAAAEEii5AiFj0K0T7EEAAAQQQQAABBBBAAAEEEEAAAQQQyFmAEDHnC8DpEUAAAQQQQAABBBBAAAEEEEAAAQQQKLoAIWLRrxDtQwABBBBAAAEEEEAAAQQQQAABBBBAIGcBQsScLwCnRwABBBBAAAEEEEAAAQQQQAABBBBAoOgChIhFv0K0DwEEEEAAAQQQQAABBBBAAAEEEEAAgZwFCBFzvgCcHgEEEEAAAQQQQAABBBBAAAEEEEAAgaILECIW/QrRPgQQQAABBBBAAAEEEEAAAQQQQAABBHIWIETM+QJwegQQQAABBBBAAAEEEEAAAQQQQAABBIouQIhY9CtE+xBAAAEEEEAAAQQQQAABBBBAAAEEEMhZgBAx5wvA6RFAAAEEEEAAAQQQQAABBBBAAAEEECi6ACFi0a8Q7UMAAQQQQAABBBBAAAEEEEAAAQQQQCBnAULEnC8Ap0cAAQQQQAABBBBAAAEEEEAAAQQQQKDoAoSIRb9CtA8BBBBAAAEEEEAAAQQQQAABBBBAAIGcBZ7K+fycHgEEEEAAAQQQQKBiAhcuXHAzMzPu4cOH7ssvv6xY79vr7pEjR9zy5cvbO5ijEEAAAQQQQACBDAQIETNApAoEEEAAAQQQQACB9AJTU1NOQSIlvYACV0LE9F7siQACCCCAAALZCwzMzc3NZV8tNSKAAAIIIIAAAgggUC+gkYeLFy92CxYsCEMxLY+Pj9fvzJpQYGhoyOlDQQABBBBAAAEE8hJgJGJe8pwXAQQQQAABBBCooMDHH38cTGHevn270xRdCgIIIIAAAggggEA5BHixSjmuE61EAAEEEEAAAQT6QuDOnTtBP0ZHR/uiP3QCAQQQQAABBBCoigDTmatypeknAggggEClBGZnZ93NmzfdX//6V/fhhx+6zz77rFL9T+rs3bt33SeffOKuXr0a7DI9PZ20K+u7JKCpzJrS/ODBg2BKc5dOQ7UIIIAAAggggAACGQswnTljUKpDAAEEEECgCALDw8NFaEah2nD9+nW3Zs2asE3r1q0Ll1nojYBGIeoFIZs2bSJA7A05Z0EAAQQQQAABBDITYDpzZpRUhAACCCCAAAIIINBIQM9DVIlOZR4YGHBZfdavX9+oCWxDAAEEEEAAAQQQaFOAELFNOA5DAAEEEEAAAQQQaE1gZmYmOEAjESkIIIAAAggggAAC5RIgRCzX9aK1CCCAAAIIIIBAKQX0HESNRFy+fLkbGhpK7IOm4l+7ds3Nzc0Fn7hp5wcPHgy3f/DBB25wcDCxvjJs0FR7fyQmoynLcNVoIwIIIIAAAtUTIESs3jWnxwgggAACCCCAQM8FFCAqSFy7dm3Dc585c8aNjIw03MffuGHDBnfixAl/VemWP/3009K1mQYjgAACCCCAQPUECBGrd83pMQIIIIAAAggg0HOBixcvBueMPg/Rb8jKlStbChDt2GeffdYWS/n9+eefl7LdNBoBBBBAAAEEqiVAiFit601vEUAAAQT6RGB2dtZNTEy4VatWhdMgFy5c6LZu3eqmp6f7pJetd0PTQmWwdOnS0EXLsrpx40brFZbkCN0Pe/fudZoG60+LbbTc6ymzGom4YMGChiMRf/SjH7UlvmjRIrdly5a2ji3CQefOnStCM2gDAggggAACCCDQUOCphlvZiAACCCCAAAKFEnj8+LE7fPiwm5ycrGvXkydPnMKIKgYSFqpeuXKlzuX+/fvu5MmTdev7YYXuhzfeeKPw/btz5457+PCh0wtVFCRGi55/2GlReF62AF337R/+8Aene9Qvuo8VAPtFz4HcvXu3v4plBBBAAAEEEECgpwKEiD3l5mQIIIAAAgi0L6DASKPHbt261X4lXTxSbYsL8dKcUi/SaOU5eH6dd+/edWNjY04hapVK0e8H/1poFKLK+Pi4v7rSyxo1u2bNmkob0HkEEEAAAQQQKJcAIWK5rhetRQABBBCosIBGnMUFiHoz7erVqwOZmzdvVipMU5D28ssvx/ZZb/nVVGaVdsPNIt9uSYGyniuo6b3RPtt669N3v/tdW+z698zMTHAOvZmZ8rWAQnMbgRkddag3Ul++fBkqBBBAAAEEEECgUAKEiIW6HDQGAQQQQACBeAGNWopOyVVIdvz4cae30/rl9OnT7pVXXvFX9e3yO++8UxesKoDR1M9ly5aF/S7LtN+wwU0WDh06VNdvPRNQ09yXLFkSHK2pvdu2bQtrsunutj3c0MaCRhbqRSn6vn37dsMa9EZm7acAcWhoqOG+bEQAAQQQQAABBBAorgAhYnGvDS1DAAEEEEAgFPjjH/8YLmtBow8//PDDMDDyN+7YsSOXEFHB3euvv+43JfXyd77zndT7+ju+/fbb/k+n0XZxI7g0Mu+FF16oC2JrDi7Rjz//+c81rVVwGn0eoF4wo2JBop67p6BRPvJopygM3L9/v9MzDhUOqmjd2rVrE6vTdu27cePGxH3YgAACCCCAAAIIIFB8AULE4l8jWogAAggggEDdy1J+/etfxwaIeVL5I/960Q6Nzow+B/HIkSO9OHXTc6R93l07L8vQMyCjL+JQPXFFQeKFCxfC+0fT4fVinrfeeitu94brNm/eHNSlwFAjChUkqihUbBQiTk1NBfs12qfhidmIAAIIIIAAAgggUAiB/ytEK2gEAggggAACCCQKKJCKlueffz66qnK/b9y4UdNnTe9u9+UsNRUV/Mcnn3xS00KNSm0U4L722ms1+2vKs6Z3t1r0UhRNXb569WrwseM10lBvXk4qChsVOhYxRNTflp5HmOUn7u81yYb1CCCAAAIIIIBAmQQIEct0tWgrAggggAAC/xXI4rl2/YZpL1Hpt35F+/PVV1/VrLKX6tSs9H4oYFTA6pePPvrI/5lqedOmTcFzDbXzggUL3Pbt28PjNBoxrihAVMCoYykIIIAAAggggAAC5RZgOnO5rx+tRwABBBBAoDACeltw9I3AaRt37dq1vhpFqGc8qk/Nyre+9a1mu2SyXQGrPwX6888/77heTR0/c+ZMUI++33zzzboXp2gqtcro6GjH5+tGBf4bkrtRP3UigAACCCCAAAL9JECI2E9Xk74ggAACCFRGQNNR2305Rr8itTNFt1sWuja9mlr92WefNe1GN2xsNKIFiceOHXPRZ1LOzMwEoxaLOJW5KRo7IIAAAggggAACCNQIMJ25hoMfCCCAAAIIFE9g3rx5dY1qZzpqXSUlXzF//vyaHuilIbOzszXr+vHHM888U9MtjTDUy1aSigJE2fglaudva2V5586d4e4WJtoKvZHZ3tyswJGCAAIIIIAAAgggUG4BRiKW+/rRegQQQACBCgjomXZ6eYb/JuLXX3/dPfvss4Uajag3BKtd7RRN/221fP/736875De/+Y2bnp6uW99PK773ve/VdefAgQOJ/X7nnXfq9te9k0VZvnx58JxEPftQoeHRo0fdrl27gqoVIKo0eulLFm2gDgQQQAABBBBAAIHeCBAi9saZsyCAAAIIINCRwNatW93JkyfDOjT6TM8g1PTR6LTZ06dPh/v1cqHXYZG9MMR/1t+5c+eCLusNxP7LZzQa7y9/+UsvObp2Lk2V3rJli7O+6kRaXrhwofvtb39bEyzrXtizZ09NW9atW1djU7OxjR+6B8fGxoIj9YIVCxGnpqaCdf4LWNqovpKHtPts0Upi0WkEEEAAAQQQ6JkA05l7Rs2JEEAAAQQQaF/gV7/6VTAa0a9BU1TXrFkThEcKFPVRkPTKK6/4uzVc1vTfiYmJ4LiBgQGnj+opy2i+48eP1/VPgZreRqyXiZjLN77xjZoQtu6gyAq5yPLQoUORLcX4qZBUo1P9opBZ/bQ+J90L7Y4W9c/lL+t5h0NDQ8EqjUa0ac0anaiRirbNP4blWoHo27O11e49+xvVPyRQEEAAAQQQQACBPAUIEfPU59wIIIAAAgikFNCouhMnTsTurWnOGrmkjz/lOXZnb+WlS5fcypUrg3DNP071bNu2za1atcrbu5iLGzZscD//+c9jG6cRiuYSu0PCSj1fUCP9fJOEXXNb3eh+sD7Htf/s2bN1I1ez6ITezGxFoxEVID58+NB164Uqqrufys9+9rO67mgEqUJ9BYwKiDdt2lS3DysQQAABBBBAAIFeChAi9lKbcyGAAAIIINCBgEYiKQSKjkCLVtlsu+3/4osvhkGZQjM901CBnB2vkY55TY22Nqb5VriqZyE2K9avRvspWNXU3OiLSBodk9c23Q8ffPBBeL0atUN9177dGs2mKcs24lABn4JEldHR0UbNarpNI2IVikaL1uta9Uv56U9/GgT6Sf3R3323rl3SOVmPAAIIIIAAAghEBQgRoyL8RgABBBBAoMACChLu3bvnTp065fRsO7/ot9Zre5ry3nvvBQGUAgqFMrt37w5GO/ojHs+fP5+mqtz3eeutt5xGHipM1OhKKwrPFJCqj++//76trvvWlFHZPvfcc2GwWrdTAVdoJKaut/qnfvpBqd937aN9u1n80YgXLlxweiNzJyMRNS1bI2LjikZZ6lrZlN+4fcq0Ts+5vHz5chDi+1ObdU2vXbtGgFimi0lbEUAAAQQQ6GOBgbm5ubk+7h9dQwABBBBAAIEGAgrP/BeQaNfr168Hz1rUsoJJhRv9XhRY2Yg3hW82FVijMxWuUpoL6HmIK1asCKYxa29Nvy1LCN28d+yBAAIIIIAAAgggwEhE7gEEEEAAAQQqLBANEEVx48aNUCRue7ixzxYUHio0bDRisc+6nGl3NPJwfHw8rHPjxo3hMgsIIIAAAggggAAC5RcgRCz/NaQHCCCAAAIIZCbw+PFj9/bbb4f1vfDCC+FyPy9s3rw5eA4iow47u8q7du0KK+hkKnNYCQsIIIAAAggggAAChRF4qjAtoSEIIIAAAgggkLvA4cOHw6m8mso8MjKSe5t60YAdO3b04jR9fw6NRtRUcL1cxV600vedpoMIIIAAAggggEBFBBiJWJELTTcRQAABBBBoJqBnIU5OTga7aWqv/4KVZseyHQETUJC4fPly+8k3AggggAACCCCAQJ8IECL2yYWkGwgggAACCHQioGnMP/7xj8MqDhw4UPfClXAjCwgggAACCCCAAAIIIFA5AULEyl1yOowAAggggEC9wKuvvhpOY96yZYtjem+9EWsQQAABBBBAAAEEEKiyACFila8+fUcAAQQQQMA5d/r0aXfu3LnAQtOY//SnP+GCAAIIIIAAAggggAACCNQIECLWcPADAQQQQACBagncvXvXvfbaa2Gn33vvPbdo0aLwNwsIIIAAAggggAACCCCAgAR4OzP3AQIIIIAAAhUWePnll8NpzMPDw+7vf/978PFJvv3tb7utW7f6q1hGAAEEEEAAAQQQQACBigkQIlbsgtNdBBBAAAEETGDv3r3u1q1b9tPdv3/f7dmzJ/xtC+vWrSNENAy+EUAAAQQQQAABBBCoqADTmSt64ek2AggggAACk5OTICCAAAIIIIAAAggggAACqQQG5ubm5lLtyU4IIIAAAggggAACCCCAAAIIIIAAAgggUEkBRiJW8rLTaQQQQAABBBBAAAEEEEAAAQQQQAABBNILECKmt2JPBBBAAAEEEEAAAQQQQAABBBBAAAEEKilAiFjJy06nEUAAAQQQQAABBBBAAAEEEEAAAQQQSC9AiJjeij0RQAABBBBAAAEEEEAAAQQQQAABBBCopAAhYiUvO51GAAEEEEAAAQQQQAABBBBAAAEEEEAgvQAhYnor9kQAAQQQQAABBBBAAAEEEEAAAQQQQKCSAoSIlbzsdBoBBBBAAAEEEEAAAQQQQAABBBBAAIH0AoSI6a3YEwEEEEAAAQQQQAABBBBAAAEEEEAAgUoKECJW8rLTaQQQQAABBBBAAAEEEEAAAQQQQAABBNILECKmt2JPBBBAAAEEEEAAAQQQQAABBBBAAAEEKilAiFjJy06nEUAAAQQQQAABBBBAAAEEEEAAAQQQSC9AiJjeij0RQAABBBBAAAEEEEAAAQQQQAABBBCopAAhYiUvO51GAAEEEEAAAQQQQAABBBBAAAEEEEAgvQAhYnor9kQAAQQQQAABBBBAAAEEEEAAAQQQQKCSAv8PxCX4o4+VPzMAAAAASUVORK5CYII="
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "from scipy import log, exp, sqrt, stats"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [],
   "source": [
    "def blackscholes_call(S, E, T, rf, sigma):\n",
    "    #Calculate d1 and d2\n",
    "    d1 = (log(S/E)+(rf+ sigma*sigma/2.0)*T)/(sigma*sqrt(T))\n",
    "    d2 = d1 - sigma*sqrt(T)\n",
    "    print(round(d1,3))\n",
    "    print(round(d2,3))\n",
    "    \n",
    "    return S* stats.norm.cdf(d1)- E*exp(-rf*T)*stats.norm.cdf(d2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [],
   "source": [
    "def blackscholes_put(S,E,T,rf,sigma):\n",
    "    #calculate d1 and d2\n",
    "    d1 = (log(S/E) + (rf+sigma*sigma/2.0)*T)/ (sigma*sqrt(T))\n",
    "    d2 = d1 - sigma*sqrt(T)\n",
    "    \n",
    "    return -S*stats.norm.cdf(-d1) + E*exp(-rf*T)*stats.norm.cdf(-d2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.35\n",
      "0.15\n",
      "Call option price according Black-Scholes model:  10.451\n",
      "Put option price according to Black-Scholes model:  5.574\n"
     ]
    }
   ],
   "source": [
    "if __name__ == \"__main__\":\n",
    "    S0 = 100 #stock price at t=0\n",
    "    E = 100 #strike price\n",
    "    T = 1 #expiry 1 year = 365 days\n",
    "    rf = 0.05\n",
    "    sigma = 0.2 #volatiltiy\n",
    "    \n",
    "    print('Call option price according Black-Scholes model: ', round(blackscholes_call(S0,E,T,rf,sigma), 3))\n",
    "    print('Put option price according to Black-Scholes model: ', round(blackscholes_put(S0, E, T, rf, sigma),3))\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}