igraph_tutorial_01.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "4d88b187",
   "metadata": {},
   "source": [
    "# Python-igraph编程实践基础教程：igraph官方手册使用解读"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "72cc9549",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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xJJpPZvrkzyKnpPgsuD/6oPlMIEKwmxNU0aEu0xp+MNWbKxTrmkxY2CEvHDB0ZmPA8FF7DxwmdnhYidCBz9D1RBt0pQpGJVjEq0J/e/fDOWs3bIL6NMTiVYeAZpgvbXAIsBnZgpK6Anx69dBk6A4dPfHQw4+u2bCRFyc0ApoCDcIMXX9hsHdBXWPzpBen3ayqYcllSM8pOpNqivSoQX8VWrmkXSZFA8syuLXbgS6R9viDdxua8ARzpVOxbfLC0AmvPUzG1nY3yiy+bGp1TXxhClQxZuj6dwVkhm6YM3TDSk/QoLGlffzESaj+idMXND8FwvHX33rvbw89XFK+zdAB6rtlP+fiQ5fV7RDLp85d3Fi+neg5laErWVtcsqaohMJdi8u27th7oLnN48D+74Hwd+sSdJjMkXWzaRLLJkg6mRA0ZAOJQRBQqATV2UdBMCKAZUIA/wZC0QBdoyAiPIOAUDQeijyA/F7ZGfABbyjoQh0t2JvjEzHCf2n4u0L40GnGgIUP3djxE/srwpoZOnMqIR2OYYB1Fu4kE9Iw9fGql67emDDpxXMXrwy9eNUhoBnmSxscAmyGgzFPBg4ndR2aDB3EUwjL8mD2kMzX4oSxDi1zmJy52L8M3c49B/5YVzT0uuDS1Qq0occfGgiFgfK9eOkPV67fGgAbp/flfX7anxR6fIGUy+7jRdSzVGmLyYGUgz7X5vZCw1NlpPEraMfVQs/IdjzjadAg3V4/piRKLjRINFEeW6nN41/0zZK6xuZhztAZroAWjZMveshiejJDN5AZumGlJ+gXOJhAY56ZoJ8a+Abf41dc018TWXb4ulFZvefAEXH83AYlvrV0rcLQlVAu1zMXrnoCoWxfoU8oIYegGkD1ROtQD3aQSL37gt3TQ8P3aVZPTZysIM4EjxYjWk39m1Ahu+bR5+6/PU58Aj0E4gMakQDj/8Tpc/M/+/KnFStlYlF8pkU2JIcDq9AHCFfcrn587DPAzds1wrvwgVOhxpFQVKd3gDA1S1Vt/RNjxwP4IOhC2QdQ+P2hd/Dww0dPfvDRXCifzND1ZVhJc5vnWkXVybMXDx87ffjYKfw9eurclYrKpjZ3Mvs0lHR4cfeA78mvGorGeyjsCFHScrwquv7s+csvTpvR0u59EK+aiUoeRMivZjh4tcEhwGY4Uki6SLQqGfY4eGuIMXS8OA1P9C9DN1RNULQe2hAtOTC7uC+NJUWRkgJapbM8uvpm/mLdggJHKpoIRM1OEezscnv9LW2uUCRumK2V9mxTqjGQRx868gHBSz3+IDqxQAfS9S9HNsBPHrEoXr5kl8X0ZIaOfQwH7AL3t4ceNlzj+uvYfpkvk924Wl2+S9cqtuzYW1y6df1GhaFTA11L120sLdu28+jJc/XNbZH4EPE7kNPRarhCwQwSe6XnAWXir1csreT95wtEZs9bgK5f+sPPGk9AEc+rOcvvAUMnkXTAjco7j495Bqi4Xa051E+OC5bd+uToYDlA+FZVzeNjn3li7DO3btfIpU3Ihe+pTqvL++K0GahC+dadhscC6gOEZYhGk6OD9QHCD04P7J11RPYu1AQI5yV38MA0ghLpzsZW1+nzl3fsPbCxbKtI2LJ+Y/n23QfOXryGTomlOi0VyO4wbTEm0fs0zCzyqxLzK8erDijNnDG4tMGBL/zJbxTg0+iYoWOGjhk6NrGYocvgyyDSYyUyRRMUYv4qvt/JDiWiIZY0PD/ODkeGkre2u5ta282WPTo2zuY5dA7KAKWz3Y1ujBbijAlm6JihY4aOMQQYum5XNV0CVrc/fO7Ste279hdtKldPoCtdv7GsuHTL0ZNna+tbuDezctLBGu3scDcNdXinx/HtTrfjW5fGT7CbK+wdHSy5+KUFnae446lk341bVUQFKjG80bhgbQT8oWh9Y/MLU/6NKmws2SyHBgtQgLB8V3d0cE+AsMw29iYWk4Z5Qsj7T58YRAQIE51H/+ZI1Q1AIwgV8fhD5y9fV1IqE0RWZfXf8m27jp06Z+jHahGvquRXVcML8CU6Jap6XGaMV2WGjhm6IczQQZj0JHVlho4ZOmbomKFjE4sZOmNirvuAXqGPpjsznLmb9/mrRokqu6wKP+jUAQ03ogHb3V6PL2D2BDoDItUTqWER5epM844l0rAcWtvdWHopkJYZOmboGNw+w5yh04eUCk86+TIIZ7c/XHu36catqstXrl+/WXWzquZOTX2LyxuKJrk3+4ahk10dgeq6Rhon+GDo9CdHB1OAsOyhJgcIa6Jc9ckxZLe4do9f9qHDlzE1TafsNvggQLjHF4/c8Sj2VoTf6qOD5RhhlbB74AkoZw4RH4yzBmuOI+z9vS4DSS+/wvItO2bPXeALROQMwjHJhVA4CYq/vWOr7/dyADRx/ctKh8Fja+42Hzl26gEx1xvFJVu27txb29Acjiftx6vSKcZUI/v5VZmhY4ZuiLvRUVLXZEfeLQVGfzJ0FnYCflqzYePEF6ZgVXvo4Uenznh12869kURaP53EQyAx9x48MmHSS7hl5tvvQ87K1+B2fPn3R0bgVzx2w8YyLCEWc7XN41/5x7pxzz6P63EX7j164nQi3Wlm4eOnvQcOo5woLfDKzLdPnb1g3z43FBPyM6nYKJIvGLHfvHZqbec56IsXpkynYjw17rkly37SnwWD3sHrpr8yk143YuSoDz6ae/z0OX2jZcXQuX1B1FoeCWgT/TOFsIAS/MVXS1BIcX1x6ZZQNEH6vR5C7TOT1JpnUkuuWLm6qdVlwfhQazgeDwJ4y4/Lfxs/YRK9mhof5RE6ATWdvl4ZdQJnRcXFm8q3ymNyQ3EpvpQtWMN2Rvtfq6iEcmyYy+J2dd0b73zg1W1pYlJ/+933aAFZBzLokUlTlv+6qq6xRejEHT2Gk+hWjHyM/9FjxuH6Rd8siasBDoYMHbSxTxZ+OW/B5xg2dvoI1T909ARG+z9GjsLDnxz77LKfV7R7teSaGOSi/P98/Clcj7/Lf1uFcS5qB/W3qaXN5fErCmI8RQ8foT4cVcbFEAIWDB2aER2EqpkFuqK7Fn759XfLfha7Xg0tbaI8NHPPnL8ExbS13Y2noUFQI42BhGdW3K6ePe9TKhjuxTNv3am1Y2tpoDetMw57BzMl78KWzqcv2lRuMCTiqY/mfmIo0I6dOou30FCX5Z6dxhH0EIYc5h1JRcjbD+fMR1/YsWEspmcur8hKSls4n569cFkMdYwojEmMTLPlA9dDUkFe4Y1UQnn44cbPFy2mR+nFlEYG4lE3blUt+OIr+dWGg8dB++BL9CCWDHExFmXUVH9xxjlVCD3B2dxBi128ekMUFZqSYQtnBClaek1P092GgxYSzHDKAEKqo4vlfzUIRuI79uwXOhL+QoHBN2Loitsj8bSG04HwrK1vXvL9j7QMGWqJEJ1uX2B9UQku+Gjupx5/KBCJr5eGjdlIEOMBw1iMHBoSs+ctuHqjkmQ4vvlg9jxIG8PboQ/jgslTZqCRHRiugvTUD0vDiSlP5MrqOnmBthhRon8xo1Gpbbv2kta9cNE3p89dNOxcWV7R+MdqhdaQtT5oKfrR6KxShkPIkBSW6yLfayjV79Q2rFy9Dp9fmDKj1e17kLVWIgcvXbn+yIiR/3pi7K2q6pR0cIcmQJjIvmgiffHKjW+/W/bU08/isf947F8fzpkHpUvD5bW0eyZPnXHy7AUl7PdW1cIvvh45Wln38RerfGNzm+YIP3Hk3/WKygWffw31hobuOx98dOzkWehIZZu3q2M73DtSOKkh8mQy8cr1W5989iW9F+WcNWcevnlwCKBEWeKvUqn/LHuyuzTeOPAAACAASURBVFKjZn08//qtKv3ZiHj7rr0Hpkx/9b9UMTh2/MRZH3+yYtVa9fxHJcB8XXHJOsWBruTLb76Dnfjwo/+Nyx4b9eSCz7+qvFNjkV9VnF/cB5o5qQGkvNnfIpIXIxr/pZu36229vCzTNresZLOCViVYkeQ9qrf1xEOw2L0/62Pcglkpp1tB42Mko4VpjuNXzFy9tik/HLIdQgB2q9nKolnRNAIh2xXNsF4OlGT9CiWb1bRkYIUyLFguQhujBeuFWArRzhjeeiNXFnHiFcLw+fGX37JSPOiBRSWbxTgRC1wuTSF0acN5ZLblI8t5NNSceQvwCuDKtZuahoIOL9RUFBtjbF3xJo21iMa529giRqwFiTT4GDpofhhkqM+Bw8da2jywddEib783C99gJTZk6KDl/LLyD1xw/tJVqEF4gshFWL5tB7UOPQ3Ys/8QxDeMcI1mQ3O1uq5x38EjECh/rC2qrm3A829X1y37aQUeAqVBcwup+A3NbW+++z50dNQFb8ddq9ZswFBDkWx6fuo1b6IJUDUUGy2AYqNUGJ02/ZLs19raZNq97xCtYdCWUAzqi7mffgZFSr7y0tUKPBylxVvQGmi0G5VVaMDRY8a9N2uOJn2BTYYOQxwvHf3k03g7NSyeXLZ1B16EyaMXBJgh3yz5Hs2Oxsfb8Uxcv2X7rrfe/RANm1T9koDF/1kGiFgDMU4MjR+0FeYYlCQMANQRZUBL/nn8NFYRNAskmkbjlMeDKDbGw/LfVuEhv/6+xr4nMK7ECoG75MbHBwxCfLm2aBM9Cn3kDyl++Jj8kBR1jc3dMRShqB33sayKionw7POTMRMxBsSYRMdNe/n1xpZ2ugbtibfXKWEd01Ek0c5of5k50qCkfBteijVYb7+hU+SBIfcIprnLG6hvaj14+Ni7H8x+bNQTu/cf0vQIdev1m7eJdMOKgpJfuHI9qQZv6hk6PB8tbDjADHHi9AUMOTQCZlx1XX3N3cb9h47++5XXX37tTbzIcNhjURk/cRJGMhof12A4YV6jYSF5OrtPnI3fqamDaQcNmB6OYSxfjIdDp0+YMHT45vfV68lyM2To0I9jnpkgFh4IT7wF7YnvUUj0ApauBV98FYomFQvTG0BJ8CvUd3luYrHE3MRcQ8HUiJJraDes0Na7bYFwHK+AOo7hgb9irIrBZnPYO5gpeRe2qA6UGEPjHy056omxaBx9Ub9b9rNgnGW5Z6dxSJHFOHl+8tSvFy9FT1F/oXdQU/RIRpLOYno6e0W2UtoMkN4YcriL5gWNKDwTYvbIsVPyS+UVH7IIb8fFKOGib5bgYuI7IJnxKBqc6FB0K27Rr300/XE7RArmFDodXY9/8Uw8GQsopqqmvtm2DxocyyUehUVHI2M1F9uZU3nXE5zNHQxvLBAQ5tRiQruAvqERetbTB7fTroAG8oJSIIYOb8f4N3y7bEKL28OxVLrnYCnRbmQqaCAP+0Ao6vEHN5VtUb6fv7Cismrq9Nc010PFN5y5sAQgKMhuMdxWxNKDXyFn0B0WdgjWAgc+1MLYw8MxDPTFMJwdSn8FIxiQhp2Ch6BGGuJA9C/NaLkHT565kJGha251kxGuh340ZqwUjC5Dpa4QDB1upGXCMD2xWF8UsvLLrzPada0u36tvvENGhxBKQiRmq4doooMT6XtrNmyEQFj64/LL129CH0DJSzZvf3r8/0KUbSrfOnv+Qn8oJtKDaHz9ZIc+LGeoFGq9YuUf1ytuNzW3oXhLlv7wf/8xcn1RiS8YkqODq2vrZ7z6xsjRT37/4y+nzl6429B8+uzFBZ8v+p9/PX746InuDMLhmJpTy4N5N3nK9B2799c2NN2qqv3519+ffvZ/v1q8lALM129SUipjLkyeNuO///X4rI/nL/91Faq87+DheZ989j+jnjhw6CgFPWScLAXVzB0wdHg7Fi+xFNL6+8rMt+WRma9l2iZDhy7AMiEUV7GaT5j0EnkUGjJ0GAkYkKg7agRFXSwBDsY2jDWY8HgmXY8ykEluKBPEioZbsJDRikamjV6Nt89mOFOS7axQAObpjVtV+RLa6C/Mff1bIA8NtS8S17Da9K+w32LC9LDwm3HWFDkydLAWaZdIvxuEF+F1GZ0MbKoHg5Khg/46fsIk9L1GNcS/+BICBb/qF8UVK1d/vmixIfeEkXr1RqVmUOIt6ANN/9FcXVe8afa8BfpdRwx63KJhLvAEzPnZ8z7dve+QRuxi8GFyavhX+wwdKgs9VVMM2mSz80D7tbYQEJAvaG3YivopLRcDNYWsxDpt4C4XjGBEvj/rYzkbt02GDv+iu7GuaN5OCxIWYLkMZKjgXcIXSROWknHPx8z4QS/cbWzRPxOSC7U+duqsZpIbjgdcf/z0eYwHw80BQyUAqxE6y7Dxsergp+LSLfJP2frSZ1vUmvomyCYMCc04p1bS6K9mlCuUM8zTZO+jzXAjjFiMND2jgSegU8Qs6O6RGa/X1jcph7X1bKJSxMGhoyf1PULdih6HiMiYKQLGA3RBPadsgb0HDh86egJlUNTQWBL6KN6CAuuHKLXJkmU/6cVLKJrAl19+vQQzCE/wBkINTS3BSGw39MdjJzUNTuNfSWwXS6LWhqMXwgq6zs2qGuHxIT+haFO58LxASSZPmbF1+27NMKPTVfDXH4rAyIQODe1cw/GdPHNe0xpJe4fWmfmrOhj2Dm7Jo7DF+MSkEKqkPK6eGvcclOZAOC5/j57Fi4Q9ZjhNrKNc0XEffDSXNjC1snriJCiCuUe5ZvWKrKS0hVkC9V0lhRP6NQgjTb/iv/PBbPS7vOLgYgxjWHTHTp4hnVvD9aPlYX5rugmVxZRcvb5Ys3ih9/E0yBO9LZFV+6C00Mg1q5JhvezMqfzqCc7mDsTFom+/W/yfZZrOam33oiR/rC2yyQcdPHIMKixUfJQB5VcO1kzfgy6BCpIiq1HnnEW5GtIreBcMFVKgaVuXGhnXwDLEoKUIDGVEqbfPmb9QYeikgNY1GzaSo0fp5u10MUqLGqEMuB7LHO2dQHK6vYGyLdvx5etvvQe8+e6HN27dIX8oNDtVVs+y0UYRsVrfLfu5vqmV3o53QfFApwhfaVxj6MZL7I8Zf2efoftmyfePjBiJpRmvowTiKDaZc6i+ZnZg3Xxl5tvkCoGWoVtQcpQfFjWZc5p9a2HyoZrQAbB8a4audZQrlROSFp1IXYymQ/vQuzSj0VmlcmHoNN9rdG9RtW+/+14/YWlpNuPvtO1Q34TqaNxJaIJDJLq8wWz1EFl5hrB6ZsIkMijk4FNPIISpgZ+6KezeMcJydDABj0V5MAuaWl2aoOBTZy+MevLpk2cuyDHCVbV3f/tjnT8ck3MHQ9H6ecXv/35lZnOrm77B3+JN5VOnv9bY0kZeeOFY8vylayj22g0la4tK1xWXAX+sK8Z0mzxtxsrVG/AlBsm1itsefxjvgqiH7CVqsn8182wZOtrz00tLTWK0vCzTWTGGUKQ1XDwZTVgi9VMMT4BiDysAJmruY3vDxrK33/9I/yisUCgYNA3NRDZb0agiNnc49DpVjkoyVigSYjCfsSrRXRE1pAZdSV5+mjo6k29QX5+fPBU/QYreulNLSaghsWGpdXv71tTrRRlEFoxEWv7wCrwIs/K//o9S4CXf/2RnOEFTIrYLSwO6hmQLNCUoaeuKN+XSFLkwdG+9+yGAIukpIMEnorkwkmnGoTB1jc0YJCKs0KZ6MCgZumAkjj4wqwC+XLz0B8NFUUPb2aGf0Kb6RRczCkIcw8Xwrv2Hjo4eM07WeKhTDbVSCkPQBOjZNFnR9RBYeT/vxrDWZsB6jKbW7FHogfEHHdfCW5BMIxgSWTF0eOyb7yourIbPvHLtptzjqBe6wCZ5b5+hQ3fjLYZrhjAINSEkNB4MHdAwRWHaYS2001MZGx9yH2NVHooOGDr7RcVght5m5gMIUYt1107YMvRvSLdWt0/T8q++8Q6M5PdmzREujQSsMUJ5VX0u/oQ6WFVzVyTYUpW8+8Jw0vcITWqYDfJCbsjQoY6oclZuIMIYjiXTFAwinNqwzIhgRrlNsJZA4TD0xcNPkPKBcKzd7XV5/Him2Uv3HDg8dfqrre0ece6DZvRSD5JuodkWxsxCawiq4tLVCg1TYHAgXSj6zZKl333/o+j9nXsO5HK0ihkJ5WDYO7glj8IWIxnjWUMKkwawvrgETaSJ6YYGjy/F+HfA0GHhh1wylMPoVpu7L9YMnf1XZCWlLYDXwWwzpMX1yygVXqOayzYtFCPD8hdtKkdHx6X8fajLw4/+9xJpYGteDaGniSLMVxfoL7Yzp/KrJzibO7gFJTfsLKIL5QNGrLVzQ/cxyED6SUNM5JGhgwSmTXK9GdnZO0Prlu275ShX0W4YY4C+6S5fq8D3xIvheojxdrdvy7ZdtH8+e+6nvmBEzr0D44e0ds3uFNkkehcGvTpH3J9mJ4BGu033KwuGjiw6fTXJdtU0LKlhZC/paUFipfXxa8Lkg/Gjt2YzMnSwJPWHcpCloG8ZB5UqKEMnIpGhPum3ebCs4CfMNTsTymKiGepmGfUQ8Q1MYnxjJiVgK016cZp9mwLLpeF7s7JN0OlKpS5dJd0mmkjPX/DF9z/9IphBTGostbv2HVJTQ5SQG90nny0a99zzK35fS0fRFZVurayuC6kKp31jrdCaebYMHcYGRK71opOvZdomY4ipp2cMRS8Xl27RTxA8AQuxJjDL8dhG+2PQmnXfY6OelFcWmsiac7Hk6alR4+3rVLkoyYK9gkmiF+BCUslkujP5RkoOvtRHGOAaIunk83CEKHtkxEhZXKNncfvSH35RpNkEA2mmB9rHjnxz0BS5MHQYh+pyrx29YvMpoxOcTfVgUDJ0+GztCKCXJvQQwz0oa2D908wfGt8yl5RRq8ZnrF5mBd68fedsiCoboewazTuZvoe5sfSH5TnmQbdTa0NQAeSZaRHll9F3A00qq0p2GDo8FreYTV06AerA4WNiEwBz2M5Oo32GTuY4LM7QgUEoipFxPEBptqOC0LaYtW5NxZPVegcMnf2iQqDg4WYX02iRC2NGARgyGlgFcfutO7UaYoJ6mS5WYj8j8fdmffzr76ujiRR5z+mDBfQ9QpPa0MtAZuhoRy5beo46C+UJhGOxZFo+J/VmVc3EF6boJZXZiKKWQYvBqGtqaQvjoeZTD/rHxElTKu/UmTF01Kq0+GmSRWCayG6JtOtrRkN3EwHJjq8W/wcyNgzNV30OWhjtbN/T0A5D52DYO5speRS2dE6iZvXBNEHLo0n1qrbMODtj6MwUGhQeVbBZC2uGzv4rspLS1h2k8W6TgSfolw/DGU1daaZSQ2HSSEj0jrW2pNc38tUFNHLklcjOnMrv0HU2dyBOzTpLL/QsVAKz4+FEcJ9mWuWLoRPElqFV1h3Z13Novf52ajcyGPQiWmj/GzaVpTrv014LPQQmzaWr1+l0LdFf1INkIAnumPRMs61fvaOc/oAI8QSLaWWToTNTAinGVm5zWnzN7CKxAU9OBPrjusyGorNMEURvwVaXySYHlSo0QycaTSMnxTmDzoKU5Sj792bNkd9rUw+RJ6OFlLA46sFQ4FhUB2N40ovT7Nj2mkrpxWCyo6uqpv7gnyfUE+jKgFXriiZMmjJ3wRcPkkWUbbvb2CocmjSrTH9p5tkydLTIwtK0ttFyX6ZtlgfTQYm7Mg8dg3YEhVPP0Ol37h2PbQu7VU/FWq9o0OJemDLdWj0206lyUZJpfTTchhTyTS+pHMg3WkHMkiyhOrhe7hoLcY0VE9f/33889l8PP3rx6g2bPiIZJ52DpsiFocNiajh6aSvl2ecnW3MdNtUDM4N0oDN0kGv6IDhr64UesnPPgWzfrpebeCz0S8OT7GWtWl4J0Kl6xx8Lk8B+vciBKy9Ua2f2eYWI87Jzlg0GonWXkeI+YdJLQszZYejwWAvDg5Zk4eQFUWhzo8M+Q0c7+fqT0TKOBwtO1iY9SttiGZdMTHL5XQ4YOvtFxfyy5poxc2Ubw4wCoI6TF0haMlFZEl5yrTFsXvr3y/XNrRTQWlV7d/z/vnD5WgUdBmR4Yoi+R8iH7tLVCguGDpbDr7+vgUmTrfdcskNJNB7uCW61DqUU52eZahsfzi7bvB1GXWu7W0l2Ya6X36lteHHqjMrqunSnKUMnaGvZjY7aX9aSyQfWcHtKatX7333/0zdLlnp8ATqrBasUROXW7budJas1JKEcDHtnMyW/wlYvfIhxRlNjdMmykRRKubQOGDqLvSio6TZ9EKwZOvuvyEpKmwGSFoWxUIIhhDGShaVtPY8oXkZ2lNPs/8kWoPXyLexV+V356gL9SmRnTuVx6DqeO7A6zDpLY953mqfWwTMtqBzSlTUrTr4YOrJINW+XU0DIh3Dpb4fFRbGHZtWkZCxLl/0cTaRcHr/HH6SHoLW9eLfq+i13MTm7ya/AgIedYCc1rRmPAxsDT3CWI0JuUotqUl/TgURC3TVzB9NUVk+440szlsEZQ0ejxdCCzapShWboBF+ssXiJyMjd20LP+GTWQyTWww59Y5huy0zgWHifkcZipqpZV0ojBjG/MO8uXL5etGnzepWh+3HFyifGjl/64wqi58q37f7zxBnY/GLWaFaZ/tLMs2XoRPyQWeBXvpZpm+XJSHSaZYowW7UdjG2NB0DGFc3C6idpb8cQ1tfLsZIs1kf9sT96SaV3R8hKvkHqWmRSogeOHjNOY7zjFj3lQnmNJqq5Os9dvJKxmrRIobQYwGYZLJ01RS4MnSGpKjbSMrrZ2lUP8uF91dcMHYVsWEsKi1yuGTdwMGFOnjm/vrgEb5n04rS/PzJCz9BlzLuM9pVHs/XiZF8061+NAv/6+xo6s9+MPLazT56x1mZGkR3PZxrrGYU7ll7ZGzkjQ2eW1tDsOEnMXsd2kVkXoDCaDVgzZirv48GaVJLXQvlpDhg6+0U1SwFpeDi39azce/CIvIRjbOBf0umxdpL12x1htG3Xp198FYmn6BSSM+cvjXnmudr6JmvRpukR60lNB1H9sa7IGT0XS6bV/GWpZMc9aEhYljaVb1307XcUameovptJKhR49vyFRZvK2lwet69XHlh8bnX55If/Aw8fO/52zV1xmaEA+W7Zz4B8/jGkAcqgUfqr6xqhm05/ZSZeYUg94N7vf/pl8X+WweCEkooH4hs6lOH9WR8rRGGWKohhpzgY9s5mSn6FLelhgsqntZx0Bah9aFWx/Yg3Qr+Xt+AcMHQWZqpNSykjQ2fzFdlKaWtb2hryVLKeRxblxy167xjrFqN3yXqe4y7Alzcqqw4dPbHi99VvvfshJQHUPCrjnMrj0M3X3LE5rgwJC2tolrN8MXR0MfmdaU7El+k569szFn7O/IUuT8DjC/iDEfkhxNDJ2zn6V9h0LpD39mW/TrGNn4v7lUWTmrFOVGxrylvfifLR444ZOkhd2JCYXL+tWisUXTOGLqtKFZqhE5aqJqCBPEccBCljzFy9Ubnv4BHy9qVMgnoWw0IPkVkPKMAomLWUsLnu2Jw4hgXLWCm9GIynOu42tBw+emr77v1lW3d8+58fs1pl+kszd5Apgs6spJMf5fO+nRlTOTJ0MAatuTbrXK4FHdtiuOZ9RTO70pmSLMSFBdVoSEI5kG92LDt5VpqJOAIslxenKh7Bp89dtMNOiNRAo8eM+2NtUXOrW7NgOWuKXBg6Q08UUYyM7LxNKWefrxhADF1G2eSMoXP7gku+/5ECg6e+/Bo+w9CFLbr3wOGBzNCRYXzjVhUk0UMPP7rg868sMiXnUutcSm6ny/R9ZJOhKy7dIlINGkIogjble7YMnZ0W0AyAfDF0Gceh/mmFZujkBLiGwPKpCV0xnJWaPSuIPKGGwmR6+bU3vYEQZHcwohxaXLZ5O2UsxfLmrEcyMnSjn3z6sVFPlm7ZkZUxk+y4D8UoGIl5A+FVa9ZjGYZJAMNg0bffrS8uOXnmPFaUyVNmZMfQzVuwZl2xy+MXwaRYKrBu6R+uZAd7abo1Q0eqP+6C3BBudND7Nedqia2qVWs2QFaMHT8RIkJvFWAALP3hZ1ibza3tYZRVLR6EzOKlPxDprz8MyAFDl+2wdzZT8itsSVgJr/XGlnY8hGwtzAjlHHopr5+dhCqDi6GzL6UtekdOdWcIOaHt4GLoaFxhGGBcwaJ4690Pf1qxEjYGLI2vFv9H/yjrOZXHoZvHuTMYGTqADoaXiTkzbz4HDN3s+Qtb2jxYy0KRuPwQOkGVdk2sGTqbc1nkExDNTt/k6H7lmKGzLrbetc3a5MvI0IWiieW/rTLMmjdYGDqKi5R/pW9s5ogQ23jHT5+ntLbjJ0zC7b+tWnvo6ImLV298OGe+Y4bOjpSwz9BhWIoc5WaQw3HsV8pQDEKNanf7L1+/efDoiaU/rUBn/bG+eOvOvdDNKqtqrVeZ/tLMHTB0oqEmTHoJE+HH5b0SE+VrmbZZnoy2mAOGLl9ju+8ZOmdKckaRaCYV+52h8/iDL6m5j2Ck2LGnxLgVL6JsFTk2RY65XPWizE4xhgtDZ+HN6ICho8ywIllYxihXa/mrP2imoAydeOndxhYsOY+MGFm2dYed4/ayqrVZya2jFex3mWMfOvt+15hpGSNtHTB0dlqgQD506D7rANu+96HLygvdYlaS9kmMBjkciTMg3L7AjNfeuHS1Ai+qbWj+9yszq2rr0z0udc56JCNDh4v/PH569JNP688sNxMCFNyKijS1ulBgVIFy7eUiqULR5KyPP/ljzQZcRnOczkA1fPid2voXp85QGseSoRNJIcgQ9QUjco4IPaDR7t53aOz4ibhM084YAMt++iWaSHl8AdLnRFsFI/F1xZv++fhTGCE284ibMXTZDntnMyW/wpb8HYTniMw40xk9JB5pqGs0hiHA0DmOjpFFjR1vZZvzKL8MHcUsaKJc7XcBnY7/1LjnDh45pqfFLR5lNqfyOHTzPnccMHR2LJ+8M3TVdY0UuVNVc1efSMc+wWdtqMeTHS6PH0VFv8sPSd/rouyT4ghRM4bO5hHGIkxSBODQEWyGOzGFYOiEd0OOPnQOGDrK7U4no3+z5HsY7VB9iWexiHLNqlJ9wNAJR0jxiptVNY+NetJ+kDJ5o2BiQlJp1GCzSED7DF1GKWGfobPjgOasUoZisETxKUt4AuFWl2/vwcOPj33m3KUr+OwNhqM2Zla/aObOGDrBd9y4VfX2e7OwcBw9cZqkQb6WafsMnbUtli1Dl8ex3Wl0OnyhGToHSnIf+NCJJxNDZ9/BxVpcewMhwdDJx61m5Okqq+sWLvqGNlogzMlm6RcfOmuGLmPmTJvqQV7Q1wyd4anbuTB0dEiHWSZp/SFx1mesiDMa5EP++oChEwvPkWOnsGwbZpHLpdZmHN+ESS9ZHMmX7Tl08gHSds6hy4p0g8y11gsLeg6d/LS8jAf7p13I7yooQ4eLbQbd2FmuRMlb3b433vmAGKhU5/1YsuPrxf9ZW1QCG2bfwT/f/2iu3KfOesQOQ4eSYF5gcmUk6Si4FYaBEtwaT638Y51ZG2IGZeVD5w2EYVOtXlcUUuMUrFObVdXUvfDS9Kraevm4PcNqlpRv67EM/zp/6aqcI8K074KROfMWaI5Rp1kDqxK6LZZh1EV2AyEWHoNWk1uqQOfQiWZxNlPyKGw18o2Gn8yBQrEg0YT2mTrjVY1Xy6Bm6LKV0jmaPQVi6Kx5EPTsuGefl9fBrNqHIqANtTra7bPWjPVzKo9DtxBzx6Y9Q3qUxdFjhWDoKBkr0OLy0rE1x06eMXOds9DaDY8qM9yIamlzoZFhqPRm6JQVJJ7sIMdww1cQxWb/6HQ6t44IHXEyneMcEXKTYiCZKYHEIskX2Ck2HXska2u5MHQYvfgemqqe37dg6LKqVN8wdLSHLVIAE+VqP0jZIh0nHeTkmKEzTO3lbN2h99rPSJBVpfRi8PDRk4+NemKfauoD2a4y/aWZU/ubCUba57NeNSBYoPVhDIuMyXlZpm3aU6i7tS2WLUPnYGxbSGY9ydA3DF1WSrJYHy3yCdDeoYa6ciDf6GBQm7tBGcW1+ms3Q4cVEDZdVmMJ6xdVXGxOOGsKsWQYOg+JZ9pn6OwUIyv1YFAydNRG1kf+ow/sn+5kcW4xrYKGuVwtNBssn2OemSBL+T5j6GwymA5qbRbw//pb71mktRWwmctVr5NZM3RYBS0yjeo1VE2C89wZOvu5XDXbrbmPB/sZo2R5UVCGDi38z8efssjQlNVyJZJ2oelQBgyMRPpeLJmG3fLn8VMffDTXH4phnGukobMescnQiTMjduzZb/F8oudgdsWSHUElt+wci13xrM6ha3P53v/o4w0bS9EOnUZpqmTs3n/wibHjq2rvZmToMClgwFRW16KFrTOp2ScmAuGoy+MPqAfSaYSzTasyx1yuYmA4myl5FLadvY/TRt1ffeMd+cn4Zsarb6AXBFU3lBi6rKS0devZN0fzy9BZl1+ThTzb9rFIDUT+rRn3rjVzKo9DtxBzx6Y9I7K1ZuXnlSNDF46lKENrPNVBHJadQ770WrvQ/q0z3WOmNzS1qATdfc1DcBeEvMhFrn8FZQmwz7LJQZF0by45IjTROoZKIJ1Przn/LmOxRS5Xfdp3ZwwdOYAYDnXySjPLdWi/Un3D0ImjA1EwkgxZBSlrKKHO3sekolMcM3T0r8X56MQZ2Vl36Er7J+tlVSkjT4V73yxZCmCiOVhl+ksz1+c60/gowUDOuGpoXEnyskzbtKfII95ihSKSyD5D52BsW/QyGQia7Ap9xtDZVJIFR2+WNb6zJ4GpJqjIgXyjbK32pY0Nhk759eTZ84GeE6uzGk7VtQ2jx4xDkcjZ1llTiMQOhlOV0tdmxdDZKUZW6sFgZegw5dDQMJItFvhsGTpDLrO13TvpxWmGDB36wDBBMnr6y6+XaPqvLxk6eM8augAAIABJREFUm5sh2dbawjjJmFq4sycX5C8r/zAbjngpZKK8pW+HoSNJCoFiZ4bTomjTf8csX7BZmjwzn0oUrLh0i8bVKF/j4eqNSgxFCxoeUmniC1Pk3ikoQ5dVC3dmSgGm6qBvHTp6YvHSH8u37oAchxal+hR01Te3Tn/1Dbwdt+s3ghz0iH2GDrefPHPejKSDNYVyYs0BFPexzi4sQFCDDHc7s5JUFGnV0Nz67odzMOloHpGOZfbw9z6c88TYZ+7Y8KEjl4oNm8ruNra89O+XbS7D+g1nWYWC0YkWbnN5gpEYqb9ZBYbTXiIEkX5D28Gwd3BLHoWtvH5DsT528szcT3vNKRHcCiNHv/9mOCTMGiePDJ3F9MzqFVlJ6dzXmkIwdNClfv19jeHihfKgVBo7MFuGzjA1mFAr7aTRkOdUfodu3ueOfXtG5HEzTHUHqbVzzwGNKuyAoZOTsUbiaRHQeuL0Bbza7O0ZtXZif0aMHGV42g7Whe2797m8gYamFjqyU/MQLHMxWkTudRmmixV8DexPmxKbikTbWjnmiNAYeyiDfsG9dadWbwqi2D//+rtZsSniG22OX2vqmzptM3SUQc6QiSOGTi/06IAIC4bOfqXywtCR75W1CwbNCCz66Eq0UlY5IjTpKTUaUS6ZImhoWQjnitvVMHdtrjuYd7JvVx4rZahTLftpxWeLvk30nM2S1SrTv5q5GREABdjOqqE5fShfy7SdBZf4ZbMlFV8uXvqDfoJYM3TZjm2NhNFQVDNefUNOqdTHDJ1NJVlIKkhUvRwQ8k3Tzg7kG/UXvpy34HOsXPoWQ4FvVFZly9CdOX8Ja18smc6WpSKGTvbyc9YUlGkHogkCyvBghKwYOpnXMyyGfi22UA9gYOZ+CF3/MHQ069AfF6/e0Fds8X+WUSpDmwwdySn0h2afFgILc37FytWGUa7vfDB7wRdfaQYreQ7r2YECMXTQresamzW9i2Jjmc+4rZptrS1oLzxk5tvv69N4Y/GTcwZRhKAgF/QRc5rC2GHoAIxjPFZEpPeynVra1mzYKDc7Hb2H2uknD94s53KG6m+4/uklNbUA2lwvTymYSL9U52s80OELkLOGhjpl2tWEZBaUoaNv0B1rizbpe9ntC2Llk5uUtGq9nUCaU6rz/rKff5234Is33/2w8k6d6k3QJZ+asfy3VW+/N0sfVOugR+wzdOIhepJOBLdGE2n1CKG/hCcIlgdNEliSVJD+NuPx06pLxd2G5nc/nLN52y56r/XDv//pl8lTZ9ypbcjI0JHK+Ppb765eVwyxZrjCac7FUIzG7bs1c0RWoVD9O7V3G5paPX71QBe1NTAqUGCbdgVZLHpR5mDYO7glj8JWnh24HoNTbzbgG2g/b777vr6EhkPCrHHyyNCZTU8Hr8hKSlvEKWC8wTrVk1kYTug+uenyy9ChqfE0vELD1BiuXNm2Dx29pBl+pPXOVh8uPwpGnbxOGc6p/A7d3OeOY3tG5HGDwbnomyWoBS0rkPmQwHiIfi3LiqETKVm3bN8tR7lavx0dd+XaTajgQvQZau1Cy//7IyNgGLS6fMT9eQMhNNfY8RPnzF/Y5vY1tbTR4NH70FGyCAp0NXyFMDwoRSOeTNXBhwOHj0FJNgyTRFdOnfEqpak1c2KyubcvAqYmvjAFH8RBiuggFBilQtk0m2FmxUYd65ta0c7EimpGlJ1DCVet2UB0G+wCPO1uYwuFtR46eoKe+duqtVQS1PH46fPPT55KjJhZlGtWlcqdoRM+Hfi1pr4JVYC9h2Gj3zXBA6e/MtNO0kDN1EClNJoP3rJ736FPP1sEiyYXhg5NBEkI6M/PwqjDwz9b9K3NdQfXLPj8KwiQ2oYmvU2BjkOPOKiURgzSkGtxeafOeH3PgcPOVpl+1MxpZ6hs6w7NkoQxM/fTzzSrBppUzzneqalHMeSQl7ws0zYXXCichu9CI69eX7xw0TcTJr1kn6FzMLYxGqFuaexWZwZCLgydnQXdgmKm/QyIgvdnfVxxu5r22zAZIfSwxOB7vXXgTL6hQUaMHIWfIHnwmUYCXoeXYrbKOYjsM3TnLl6BUaNER5mfRgf9E2YjWomqRsvER3M/oSoLhsFZUwiHbnTuleu3aKnF87E0o3EmvTgtW4bOrBj4i4mJuoiTFjKqB3lJE9E/DB1N4xUrV0PJWPbTCsg7XIO2hrRCc6O2aItsM0XgRjQoLoBcxr8YE1BlMFfNMkVcv3kbNjDaES/Fq3HX6XMXIdcNecMCMXS0TGLC7Dt4pKXNA+ADHqU3GHKvtbXhhPUMExsaEh6Cu/B3y/ZdmvR2GHxoIlyGAu/ZfwiNhitvVFbhpaPHjNMfjWmToUM90QUYCagIhD5mINrhz+OnsUrhy6JN5RpFE72DPsJzqNFQ+EtXK7CaQl2TBwydDYTvcQ2G09ETpy0kdSiaWPDFV5BfmMx4Gp5JZUCRRj/5tDiNNe/jQZ4IWNLQvKg+gA/499H/+Zf+LPBCM3SoKepLvUwtTOXBZEEhofdrHrX/0FE6Ih2XnTh9AQ2rak5dyY77kNoYirjr408X6guAnsVPZulHsu2RrBg6qia0GbSwTNLBmsK8C0cTmrhOMkjQICgAPpOkwugqKd9mX1LhmR5/sL6p5YPZ82BP2nn4zdvVk6fOqK5rtFNNiDD8hCaFBqxfLFEeakwStvgLwYte1ugxGhUKQmDUU0//tPy3i5eutXsC5y9dxVpu4d5ouJlJp/+iaui15la3s2Hv4Jb8Clu5kZXNW10X3KyqgRiEYqRnnA2HhEXj5IuhM5yezl6RrZS2cKuE+YSGQt1prcEKsqG4FAsxugaqVYEYOlQHyhZaG0u8KD+GN95raMs5yBSBdlj+2ypUCk9DGTAsMa9RX82jlLzSPdWnK/VzKu9DN8e549ieIUUWa4dZsrPFS3/QjGSbDF138gcVZvxXp5oVB8YSKdwWOWTNbifVyLDkeOaa9cVef7DN5aEjCzQPQQnRqhD7RNKZvYJmhOEr9CNQuN1ZxA7jgbD8bfaOaNIz5y9BdunLYLh3a11sLCvQD7VUuA2Grqa+icwtTW5B2SFCBkbvsZNnLDJFZFWp3Bk6sc6aJZmV/T7kY5jsR19CoUXzQt5CT8AUhiiDQJ6jJhTOJVOEUEXQMrJNBNULg3DMMxOwSGW17sAWQJfJKoewKfB82b3OfqU0YhDL5Z4Dh1+a9vL8BV9oJoL9VaYfNXNg38E/Hxv1JOS/sOCwgsCQgcqnWTXw2KkzXhWLL2mJqI4mqsn+Mo0Pv69eD13apqDQL4iY4LTqifKLhQlN1NTqcpApIquxjTG5tmgTqiDs1ivXbqIwhrxh4Rg6Owu69aRGl5llqf5o7id6EeFMvqFB0CyydJKBxtFrXxkZOlgEMPSCkVgYS6BJLiazNLJ6Bt9BU5Adp78F68i5i1eyzRSRsRgaeW6tHkDg5CUAtn8YOmpcKM2z531KgwaTc+GXX+MbOu8zK4aOtgi++GoJ8cf4C7UMMqLTMpcrhtSpsxcwmqkzYBWv2bDRUMIWLsoVxV6y7CcYUcTFojCQcfb93u3XOqOYwGz/4KO51Bf4+8Y7H8Bo1JcEzywq2YzVgrRe6jXa88zY7xYj4U5NvagI2gHrKN5iVv5gJL6pfKsoA1oP9+IJGgFRUXmHlEhM1517DlhLapQftUBdqAx4Mp5vVoY8MnSi+mIY0FCEckBdmePDnRUVr8ZYovKgKV6YMt2sPBg5EJF0psArr79VVVtPNgkFtLa0u/938tSSsq2G+5DWZ95l1SPZMnSyXY3y413Q8ch7TpwcpPEfhPJEDYLZ8fmixTTe7EsqLGENTS2NzW0fzf1UoxmbPfx2zV37DB3FYL4wZYbh4ReYyBAsQtbhXRhvkB7Welg4ntpYthlv/K//8/+Us7qff2nlH+tQWvvCHxYydBdUCu9VXE6kJTarYe/glrwLW3F8jKFtbHECjvmQMG6cPDJ0vabnzLcdM3QOpLQpZZNIY97J0ttwBSlELle8GmoTxowYAIZrnIP20egSEJioI8XsaB6FL+XFC4XRz6lCDN0c545jhq6zJ/mgkOQADBiURL9kWzN0lJ71ibHj79Q2pFViTvjQWR8uo6k4vb2yuk4MOYvbNaqRvBrCLPH6Q15/kLKf6xm6DvXMBAp0tXgF+vH46XPiFWJmyVFamjBJi2PgYNlmPEbHkIGyPzt6FXv2PDsLtM3EvjX1TR/OmY+3a+QV3rX3wGGaNfQi/IsvM+ZypUoR8WddqbwwdOj0S1crUHIUUr/kafw+HAQpa9oBL6Lq5JjL1fD5Gpsoq3WHHoWyCZGIQYKhggGjb3z7ldKIQSy4ew4cjqc6HK8y/aiZ601gvAV6IK0FmlWDrhQiFNdDXJy9cFlfHZvLdO4Mnd4ClUuVbaYIZ2Nb34DCBC7Qiqa/0s6CnhEoM8YVVpaMZnWOQhviCMWj6y1mpV2G7vI1DCQYTdCHRdSRBrUNTXLViFuAUmqWsyKrpjDkkTAGWl0+B7lc9cUQDUUChOprUz0YNOfQOTsdw845LAPw4QzGsAL5MqTV0+UUv7n0PUhqCmjNShnqR6RVTweVnkvZzx2eFVKdykbT3YYmWHTymW7WoPa0WR46im7l6nVme1mOEU92UNaIkMpL8ZhnDC5ka1syBuAqQyBiTubm+rFUkIoefzAQjpmJdNr46VkQ87MaEkNn5n5FWwhmnunWxh4Ps74BMXRZ5YhgGKudPXKAG2SgIdtdnIHz8IGPgSa0u2OPFDe6Lp6MecdAZOjOXrhsdvQyM3QMxoDSkyiglZK05tEU6TPAgsLqAtjnzrJFNJGGLdfU0hbWndJq0bbE0Nm8ntK53lYdQ/K+TKKJ2t0+OpCO12AGM3SMftgE6uwaOAY5igFD0e31k2ViYb3E1GUx1ZkH60UcwW52zFybx//KzLf1yZeYoRs4g5lOvs8qwTHDkLIvhKrDyAuqaxtemDLdZqQnM3SDmqHDHIwmUgE1o/mgs/6YoXOihUD/sJlfjxk6BqMf/M6URBBdZH48SNI6kCwom7WIJzugKFM2osKV3B+MtLk8Hl8gnuywueYR9WmTNKQQVzqbthBqK0xQtJLHHwRQhTR70jGYoWMU3gKXMaBWFhQG8tzl8VubJRDgwqk89/JTprlHRow0Ox0CVutHcz+xT/0wQ9fHoISbFkHKjKwkAzN0AxMl5dtef+s9/Zm8zNANSYZOOSMoloQZVTgvB2boBgru1NSPeWbCidMXCje+maFjMBxHFsDYgAVAtgdACXQGnaokgluxrtgPJnXUaF1ub6BZPbfIZpSocpfawjavb233Qu8nmUndlP9adHb5Q1FUBOpRPNnBmjGDGTpGIcxvDTc3EAJaDZdCl8cPWK994vAHWiVz3Lr+cflvSoYEkyyBlBlcf7gYM3QDZ9hsVZMO2z8okMEOdIORhp728usl5dsK9Hxm6Aaa0MYyB6MABg6bBkOBoUum79XUNxkan3cbWzC3s8qvxwwdg9FnfnMKK5fs6A5o7Rys5w6g2LFEOhxNQM4UdNsHS1csmW5td7e0uexbaCIfrh2GjtJgiczlhWDoCOj6QCja3OYKRmLsRsdgho5REO8Y1R17IFvgdMBcu8fn8QVsLpo5Brr6Q9HfVq196OFHRz0xtuJ29RA29oYqoGls3b57xMhR6MRjp85yg+TO43NT9COqaxtiRhEhbl9wzrwFL7/2Zrs3wAzdMGHo1MTlPUldO/k0ukHO0EFf+WThl+OefX7FytWXrlZ4/CGRx/rvj4zAT75gpKDjmxk6BiNbtkgcep0a8BZUxrUkmkiJ4NaCHp2QSN/z+oOw5byBUFYMXarbh86UPYwmOs5dvHLyzPlF3yzRJHcvUNfgsWgxty+AuvCBdAxm6Bj5JOZUqTUoDoCHcIYp4vYG/Jk0VVpuYmqK8JSjUyAo9xxhxMhRew8eyWPLMEPXB6CEs4SHHn50bdEmTriUu48tqx/9i59//f2fjz+1ZNlPsNxhv8OKhy3/w8+/Qka9MvPtxpb2wr2aGboBKLQxJSmpa4JPoxvsDB0QS3YcO3VWZGoHYGRitleqJ50XenwzQ8dg2CDmHgS0JtL36Ly5QZ2vh5gv2EuhaKIPDk1Qj1BNNza3enwBLF32240OoUNRLRg6fyj68mtvQuOf+fb7FZV3+iYGBOVBRbyBkBLryisxgxk6hlPZ2Nnr5IQBGtBqHAXScR/i1+MPBiOxzMJcXXEcb2vt2X8IQv7vj4z4cM78itvV+W0cZuj6AFeu3UT3oRNfmfn2qbMXeNHMhQXgE+gGzi7F+cvXFn759VPjniMTHh/wL74sNAHNDN0AFNqU2k4h6dTDfHh6Dm6GjsFgDHC/uUT6HgW04gP+HeyaJVmD0UQqFInjbx+caYpG84ciVdW1UCmyaj0UtYcP/ctxTQu3RsIudXv9RNLxZGEwGI62f/7qUDHwnea0USDJDsWV2B8K2cjNTSmVVGdtZceFTRcGw7H3HDvQMRgDdpLGkulAOMab98zQMRiMAqhBPUlaCWRXDDoLysx7LhJXg1sVj4a+sJSU/Ke+QGNzaygSz+p1aPBcDhcv9CYzyhaMxNpcnkA4mihMxm0GgzEkzWx9htZBt7LADoH08wcjdnJz09LTveMyaE+HYDAGCEPH04fBGLDe5eFYMppIsV3ADB2Dwchj+IASzUqIpzpVhuj+0NCHyAEbZlU4mqAjgfrmvb5AuLXd7fYF8NJsuyMXhq7Q+8zKgXSJNExUGKmhSJxtTgaDkdG6lg+bG9TGdiSeamppC0ZiduK5KBE27XhxgB6D4UyGCEnCrcFgDNB5quZQCseSMBB4qjJDx2Aw8kC4KKxcsiOWTEO8DrFDBOisbthUoUgcy0b6Xt8d0tzm9jY0teDVFsfJmfUIdYTjKhfaDoTNGU2k2t0+gH3aGQyGhSwaFBlas2DoYsm7DU20OWF/xwUgfzqWlgyGM02VzX4GY0BP0s6uUDQeVk6j4yMdmKFjMBhODSfymBNZICBSh0BAq957DqsFEE929FmaC7wIb2xzeQAUINuXKgydWtocnVYKV1k6qTAQjrp9AT6QjsFg6EXQEAho1QOrJOReQ1MLJLz96tA6K/JF8AhhMOx7z7EDHYMxWGj0WFJJ6qqaMLzSMUPHYDCyNpy6M7TGU52UkWCI7U9STVHBaEIJbsVqka0jWy5Aq7q9gXaPzxcIO2jVHBk6sdtc6A5FNYORWLvbF1JOZLrP84vBYHN6kGZotS/0AqFoc6srmkjZv4s2w9Q9MGboGAwn243M0DEYg8IrAosjJXXlBmGGjsFg2CVuIDRhYygBrckOOrt6qNZU8Z6LJoKRWCzZ0cfVjCbS9Y3Nbm8gmuUJdJ095xapoaNduSyTfUO5qlxk94F0rEAzGGxLD6WAVj0i8ZQvEHZ5/HbSRMied7QlRgwdx+sxGFnRczxlGIzBglgi7YdJwAfgMEPHYDBs+M11kcfcA6e5oWtE0bk/4WiiO7i1b0/Ww6v9oWh9Y7M/GHHguEedpaxtnYOAoUMhY8m0xx90+wLRRKovj/ljMBgDyS97aDrNaRCKxr2BULah/WJvjE5aYLuFwbBPz3VK4a4MBmOAAzZmJJ4COKkrM3QMBsPCcHoQ0ErnzXUM3d1IqjJqirWBglv73kkwHEu6vf7m1nYUwGkV8sPQ9Y0diLcEIzHypOOzJxiMYbK+WNBzQ7ji/mDE4wuo/gFdWTVXqvM+nV1A22PMODAYtnxy2XuOwRhcThJq+vJuE4wtAmboGAyGbtP+PiVpjac6KL5myCs65D0H8ykYiZGrYN+XwRcIt7a7vYFQVmFQvW25LjpWPMem6LPuVt0GI43NrYFwlNdjBmPIG8/dfJyK4WNCo5oef9Dl8ceS6Wx3UJSzC9TjUFNDOgqYwcgXPdf3mgyDwciXLRaOJiLxlINceQxm6BiMoSkW0/e6iOIhpznFHrg3LOwBOr6NVgWVkezrKhO51ub2NrW0OQ75pHioVM4p//qy+pTaArarciBdlA+kYzCGtl92r2jW4TPfUdN2jw9wsN1Fi7LImc68A4Nh7T3XySlcGYxBO4thFMAWU3azeNueGToGY7hzcyqzQ2njhDEwHPQbObg1Ekv21wGlaG0UoLXdDThOHUudmMo5DKqPTzuCyRpNpH2BcHesK2dxYjCGinTtNMrQOgzbgTZgXB6/swzdtC6TbM99D4bBGMLqnN6ZjsFgDK7lMpZMh9Ws5zyLmaFjMIYvPdcd0Jrs6Bf3sX6vPmodiSUpw3d/1V1NbBqACef1hxyXgVwgyc8iZ2/Kvh4GoUjc4ws4jvBlMBgD1HVu2MdmqpsQKZfHD/mWyzJNUT+0E8Oji8GwcKBj257BGLyAIRAIR3nPnhk6BmM47jSKgFZS/YdhBA2dwB2JJWPJdP+yk5F4qr6xGSacumnk3A5UT9DLgw9d3+8/o+ThaKLN7cWqjL5g3ZrBGMSsnC6adTjPaAg0SokTCEUdtyoeQoIxL47SDMaQlDyyistzhMEYpOCkrszQMRjD0aOBAlpJ46fYmeGm8XenPVUPO+j3E0nR+IFwtK6+0RcIOw5x7ew5rigvAVB9b1TjXbGeA+lgzTo7iY/BYPSXRO3snUWRLWTZRRqy3RsIOUvSLSwWEu/DOV6YwbAWQf21xchgMPLqeN4d3sSn0TFDZ4CtO/Z8/Mln0UQWIVc19U0fzpn/90dGAHsPHuEh0jf44edfgaFdx5q7TS9Oexl/c/ebg7WguIyprnPDN+xIzY4H6R9WErf2s6kTiafcXn9TazvKkyPTl60noIWU6/s2oawR7W5fm8szlFKtY9o+8fR4IJf5y8g4kv/20MPZLtmMArnODXxtrU8ZumSHy+P3ByPRRDpHho5c3SmpK3MQDIaelWMHOgZjaJB0ygFEnNSVGbrcdb5rFZWjx4z79fc1LW2eusbmyuo6HiLM0PU7QyeIOdLvKaZ1mOv3KZWeC0cTsWR6IIh+rz/U2u7O/Qg2ol+zqo6ZlOsvHRfDMhSNe/zBoXQgHTN0zNAV1DTdsWf/IyNGLvpmSb/UXRPT2i/k/gBn6KKJdHOryx+K5hKwk+5J5UStnft5owzGEKPn5H0CbhYGY7DPa1gBWDUBntHM0DnX+SLx1Aez5xWXbhl0rMeuvQcf/Z9/HTl2ihm6IcbQCT2e1HqRpHU4c3PqIT73KbgVQr/f6TkiT9vdPthvKFIuIa7kZBFPdeZFyukZuvOXr41+8ukNxaWFo1f0eOa5ST8u/62p1VWgV/z9kRHTX5lZVLLZFwgzQ2e/DZ99fnJDc5vNu65cu/nIiJG466V/v1K4dh62DJ0/FH35tTdR9z4eYBp7uH+dVhwzdCh2ZXXdD8t/xeCENBCS4alxz017+fWTZ85b315Svg0Xf7fsZ8PUDS5vcFP51jff/XDk6CfFk0eMHDV5yoyVf6xLZsnW0Ql0lG2c0q+zoxCDofGe4xBXBmPITO30PSWpaygSZzc6Zuic63x1jc2TXpx2s6pm0FVzzYaNDz386KGjJ5ihG0oMHWnzitNcsiOWoDQIfLDX/9dx769oIhVWHacHgrhHp2DtaWlztba7c9wjQnWIhM2XlNOouRAREBQQF33J0AkebUNxaY7pC61f8c/Hn9p38EiBhsTQY+iAkvJtNv06v1v2M93CDF1BfejQzn1Q9wes3EBiiBwwdCj5jVtV01+ZaSEW8FhrbvSVmW+j5a9cu6n5ye0Lfr14KQSm2ZMdDFTaXsL6RXtsghjlZZ0x7M34v2TOnS15BmPIIJbsCEXj6rk3bMMyQ+dI57t0tQLmh8cfGnTVxHoWCMcHtZ7HDJ1mz4F8qchjjgJaWWshF7NYMq3kBlLcELoGyNrT7va1e3z+YCT3BKzkKZlfhk4+fTmkJpotHL3ywpTpdY3NvkDY7Qu0uryXr9746ZffRo5+Cj/B1t1/6GgeXwFAXENuQ3SMGDmKfFvOXrjs7OFolvOXri788utff18z5Bm6hx/9b3THKzPf9ttITEl1p1tyZOgS6c4jx0598NHcXXsPDjeGzrrufeaoIrvL9VdAa14YOkzYsq07yGkOfz/9bNGfx0+3tHlIMtyorNp38MgnC7/ce+CwxUNOnL6AUf3B7HlYU+Tvb9yqevb5ycTETX9lJl509frNW7ermtvcDc1tx06d/WH5r0uW/eTE4089n0Fk606pKzubIgx2oDPz/WcwGIMaWOaiiTQndWWGzrnOd/7ytYI6CDCYobNg6HoOm7vf7TeX6gRU9Z0Pk5big9TgVjUxUNcAKVU4lmxoavH4gyhVLj1FSiqdNlgghq4PqB9ZhCqNE024fYFrFZUvTp2BX19/671AOJ7HVwhU1zaMe/Z5/GqTddIDDYhmxBMMBdEQY+gmvjBl/IRJDz386LFTZzMOy99Xr8ctU19+LXeGDvfiCWaeTUObobOue5/Rc6mButmTlbaG8m/buZcc3N6f9XFDS5uDNybSnQu//BpP0OQEE8Jk7PiJx0+fR3NBtvuDkTaXBx9y30+l3OtEzDFDx2DvOabnGIwhDFr16NxwnuDM0DFDxwzdYGLoFL1EpWaUgNZkmrg5lmK9RbyyCROOJVUnsAHk0xcIRWvr6gOOWCG9ewW5TOaRoeuz5dCQPkNdgpFYY3PrxpLNuR+zZcHQATCz8esjI0Zeq6hkhs66DSdPmfHl10vwQe89pEFru3fSi9NGPTF2XfGm3KNcmaHrF4ZOdZrrkv3mBru2dvbCZXKb/f7HX2JO09Hcrq7DwMZcaPP4xZft3gCdCTjt5dcbW9rpS5gWqsduMNtDQg37grZhaJOp34//YzD613tOZqiZoWMwhupkD0UTsOD4NDpm6JihY4ZuEDB0pI5QQCtlaCXFneg5lmIyEUbBrfEBE9zabbnFkm5voKXNjQ/5cBK8XwiGrm98NAzpM0rk5A0ISnZbAAAgAElEQVSEjhw7QSFjELMFYuiqaxtGjxmHCw4cPsYMXcY2PHP+0qgnxhqewCWDztFf+OXXJ8+cZ4ZusDB0cjSrIOYG+JpiX1vzh6Iz334fLYm/fqdbI8I5FH9lF54/1hZRvPzVGw+I/kA46vEH8TcrB2fIOr08od04Or+is3cWXb044uTRjCHP0FkQdgwGY8hMdphvFOua7uTT6AYSQxdJpA8dPfHBR3Np2/Opcc8t/22VLxgxozAgoy9evTF73qd0/bhnn99QXIqHmHX8nZr6L75agsfSiSTvzZpz9sJlPMSOzif0Zg2EKSLIo1t3at+f9fFDDz+q0d5QsE3lW6fOeJViLia+MMWitFldnKNzlqYZ//n4U2gltBVaTM+IibZqbnUvXPQNmhGQoz9wF16xYuVqlJnaGfox2lmv9IuHpzq7YAeiO+iwGHSQWVZHcQuaAg0iXvHhnPkVt6uztSs0QwJNjQYvLt0SiiY0Xb9t517Ugoqn9MXGMv2GvGgZlA3XU9/RKU6nzl6wr0+IbkLxWt2+31atefrZ/6Vqvvbmu4ePnjBzAM5xzNAIJ2YkGInjUS9MmS6aBTXSP0oUFa2BNiHiY9E3S2QPAvQjenP8hEkicd6SZT/R6LLuFIxDMoEwMjE+DeepKACk+dqiktFPPY1bvlj0rXCgsz8axcPdviDEDr1dESlSX6MB9h44TM1CBdOPOtGMKDD6Hb2PBsR733z3w/OXroqWaWhp+3zRYppx1j2F56DAQiqiYJ8v+rauscWQgnQs5eQRJY8EzTea3sFftBVaLHf6DJXHwD7853H8+vjYZ+7U1heIoSMSjRiQhuY2ilMzS4YgAty+W/bzuYtXzA6DF20lM3Q0AHrJDcv56PIG12zYiNFF8xfdjU4/fvoc7jCUhMKqpxFLPU7DEmtQvhi6VpdPtIAZKUzn6KPYJ05fILrBsPFb271ogemvzKQGweDBkzUzyCzLh8xByAydZiFAa1sIW1po5KkkVjqL5sVUFQMevQMJIHpE0/KY0WZxlIWou/4tkNs79uwXQ47yF+MbeQjh8+lzlxZ88dVTT/esetNf3Vi2JQQxl80COpC1NQIdHvfIiJGOD50E2jz+yVNmjHpi7O3qOs2XKNjPv/4uTwpvIOT2+hXTIpv9IUOGTtgqifQ9cQ6gPjk7M3SMIW+xd0qHYAp6jnemGYwhOd8pqWs4mlA9UZiIHxgMHdQpqK3Q7Lds3wXDqd0b+PP4aeiXL7/2Jj7rdT4oTL/+vmbqjFf3HTzS0uYB9uw/NHb8RKinmutJNV9btAm62rKfVlyrqITxUF3bULZ1B9REPAQfMup8GCiwQ3Dj0ROn5TPI8SWNISKPoAuOnzgJSiTKAP1bhD+gtM8+P/nt92YdO3W2XfGm8aDYqKwcIiFHVdi/OEeGDtrk4v8sQ8v/svIP0TKr1mwYPWYcNHs0lyFDd/3m7ecnT/1jbRHKhqao7FFew7Hk3E8/gz6NZ0Lv9PhDeBoUd7T8tp17NWsqtRiugdb+/qyPqbLAgcPHUFkUSa9Y0y3VdY14+9eLl1KB8RflNHyFBULRxDdLvsdbUNkblVV4DkYdxt5b734oN1H5th1k+KFU8jD7ZOGXmrAvahk85M1331/w+Vea6mOY2XR6om5CHfccODRh0ku//7Gu8nZNm8t783b19z/+gsIsXPSNPuIs9zEjWJhLVytg8aKdqXlRIzQRGko/s6ioGAxojXkLPseAxwUXrlxPqsd8ooiwwVB3tMbpcxepc/EB5ceXmI/6BhHzVIwfvN1inooCzFvwxez5C2ABNrW2X7h8jQqQ1WgUAxumF+qL92r6GrfDSkQLowr4jAbHqNOPUmpGfIkJhYtPnb0IM/7oiVNzP1n42KgnTp+/hPfuPXgEj6W3iAGvH1E0SmFL42LUHRfjvecuXsGVeNThoyc1VchFyslarwVDB5kA+UaFESIaAw/DNXf6DOXHCMevM157062T4Xn3ocNMEelHzaI4iXEjDzIypG0ydLfu1K5YuVqf4dFseRKH2evxysy39VNYUEjoaCIZZeSSCkPfhqg7WsCCBdh/6ChqSp5KZo0PUWCY7xK1xqASIzkrlqq2oYmcpGTgLYbCFnPno7mf6J+M60vKt2muF82LZiRuTsbipT9gHoljyDK2fCHqrpnIeAg0E31RNX3R3OqepG4w6GE4MgeptkYP+fa773M/1JKC4hd++bXMckJ0GEbKQ2q1u31qOvUs7Aozho68wulpPcQEM3SMYec9p/GhY3qOwRjagDIeisZjiXS2x20zQ1co7D1w+PCxkxrNhg770GxUQheBFb3o2+9geGvcnVrbvdNefv2PtUUap2gY5OMnTNIfPOQLRubMX4ifco9yhYIFy3nup59Bm9SaefVNMGJRBk3tYBPiFi3pkM3FOTJ0aNVfVv5hSOLgm1ffeAean56he+eD2Z9+tsjQAkSz/PjLbxqfGmr/Mc9M0CiRePIXXy35fNHi3fsOaSoLbRidDo0craG5Bbb0Bx/NJXcebRdPnARrwdb+v9qYc+Yt0Lv/aPznYSpcvVGpUQjINtNEIeFf2Buz532qqQ7uPX76/Ognn5YdKi1wp7bhxakzVq8vmjVnflOri7JACB0dpg4ZKr1mRD7GDLEwGzaWvf3+R/oxjJmFmbjg86/0BBk6ZcXK1RoTl4YWinrl+i29OkW0QnHplhznqVqAGUt/WI5RFwzHlOBWqRhZjUZ036QXp6EHZV8JcpfABIFZCLMcY1K20/Cordt3a3IOUDNijqD6uBjtEI4m2lyeVpdn87adM15949jJM2Sy6t+iOYkcNUWDL/jiK1nKkWPFlu27NVXIUcrZYeiWLPtp9rwF8mFMxCHiyy+/XmLo6mWfPsOrT545/4+Ro/7r//y/opLyQDiKajpTxK0ZOvpV2LSo5kMPP/rYqCdvVtWYBW/K/J2dKNfRY8aR1xU6FDeiFmi0Jd//SFSIZnnCczGdiSpa9M2SusZmmkoYVKWbtxPnoic+iEKCJMSwgQitb2pVAuHT946eOE0egppjs3JpQ1QBLaAJ9JOFDP1Ko9es8VFg1GX1+uJWl4/i9arrGlF4XAzZpZHbdqJcMVXfeOcDzL6KyjtoMQAf6IEa73VqTIg1/ISph5UrqfoloX0wScnNCmNP37x4+POTp0IkBiNxxaO53YsOop7avH0nOgVPw4uo5fEEIuz0MZV5r7tmIqNsO/bsJ4YXbz9/6SptUeCaitvVkFpUHrwXi8sTY8e/9d6scxevROJp2saAHCYCUTMyB7W2FgjHX3/rPVQKq4Nje152DpW/X7VmA00xjz8kB6W2e3wujz9bBsGCoaN8UKnO+2auQ8zQMYaDD52hosJgMIYkUmpIDZST3E90ZYauwMzdwSNTZ7zqDYQ0VhA0J6EeaWwqqH2yigwlFaqzmU8BHXGdF4bu4Uf/e9uuvfo4KZivZi5U0M7HT5wkjOGsLs6doTt26izs/Ds1xgFlaLdRT4zVM3SoJgybrI7BIk1XY3JQi20q32q43NIhMprQKtwCdXn/oaM2X2G25MMq0Bu9WSkNMFY1Y4ZsJ8O+IyMWpou1kyYd1H275u5Tzzw3eeqMxpZ2w4R6qP7oMeMExZOvMUOWIcYD+t3wAtiij416UrZVMJZwPZrd5Q3qL8YktXDkgUGLe2WiCu/FNxpT2XqewuBEW8147U1UU0PPZTsaqfsMxw9ECgbqm+8aHGbU6vahVJeuVmiaccarb1CboFQw2wB/MIKLYdSNGDnKcAAXbSr/ZOGX8oKEy2BkaqQcZTuKJtILvvjqx+W/ibGRo5Szw9DpGXPhUIOf6hqb7VM/shsyKoh3Ucg8Zvfy31Z5fEG3L6C6JztJhGInl6ugFGkw4BtY3ZqLoR+8N2uOJoejHYaOGEBNqKm4UePUg5mCIYGKb92+W+96IwqsITKIQgIwBjQTHzPokREjHR+0Z9iG5CVnyPphyOF14iezxt938Ih+O4SWGH1R7bBUwOx5CzSkj2h/uTfFqWF6mY8GJ7ZF40QpmlezixCMxN+f9TH9hH7R7GRgPSW+T8Mu5b3u+l09GiT6fAhiXtOHuoYWDA/NGcyo9uKlP+TubjagtDW8jgJRcznOj+JkNXswaLqlPyzX9ALaVhH1bp/Hl7VSYcHQpVXqubcbXa8DQ5mhYwx5Bzqm5xiMYQU6eD0SS3JS14HO0N2sqpn4whRZ/yCdT+NvYnY9uhY2jCZIQbMM4IK8MHTPT54KI1wffojrzXy7kul7ny9aLMyJrC7OkaEj3c7QLUJQP2g3PUNn5m+SMeRE8yj8a+3ooVf3cYtGXdbozXY2zBtb2p99frJmVzxbwBjTDAO0DEwLs74r2lRuzY+gidQDMlOVd+qeGDu+pGyLWUU0BFO+xgxZhhanTdF4kFkhmomomr678RyLSSdYS1EwO/NUw4rim8rqusfHPLN6fXFW/laGoxHtaTh/yeMPVrehpRdJpGfPWyD/RM0o2gTVvNvQ5Pb6Y4l0ItWJvtAMaZnpkEcUtY9eyhFDhyrAsBcWde5STvbRMGPozGQFGg1NZ3PnwCyUD5gw6aXjp89TIhSXx9/m8mA6OMj4oSeJUK9Wl29T+VZxvKBMNZKjnJ6eoOhOzaS2ydAZthUFx8nmtAiztUjiUVy6BRfoJSFVRD/xhfeQ9ZZAVm0oeEzNgBTn9AkC0dqB0YwD1RTVDktlmLxCxDbK7UmnhpmdR0ZdplnUqHkNlycxgPVnF9JEwE879xwoaN01YpBSGRjmQ6CVJa3u9FiEXtLIHPPMBJs8+8DX1uTjJp3VRYxtTUcLCSAXA40Mie32BhwkSLFi6NSMrrFkB/Vdd28yQ8dgho7BYAzp6Y8lFWqSOImVMRAZOr3nF8VN6APxDM1FMlesvQnyksuVolz1PplQ1mHDWxwQvmrNBnFjVhfn2JKNLe2TXpymjyXRVEpPZGg2vW1C/yj8C2vKwhcP6juMdrmjrW/ZvH2nnX7EYDBjSbLSqvUMnUXf6Rm9Hv37PiVppaxtAOo7cdIUM0c2YYUKLjJfY4YsQ5TT4pqiTeXyu8iHTvYgExwiBklGFx75adnOU/JZQCs9Ne65c5euZnueqOHANmtGs2oKA0kmQMU5dKqNd88fjNxtaAqEouTfZyYlaESNnzhJxJvDVMZz9FKOKo4xcPVG5bPPTyaLOncpZ4ehM3NsIa7BpiVsxtBhwJBoomKEownMUI8vEEtmnR7HggSkOEdNq1K+CA3jI4gPDWdth6F76OFHDUcLHYEnm9PC08ei7yAGHxv1pMYziygkw7EkWKpc0l7riTbiMTUbJLer60Y9MVYmCrNi6Mwa0w5LZbYMYRXQsCcYt3qKU/8ueXhT836+aDGFi+r5FMNtKkG62ZkLudRdrp0gZMX1ct5P4XuljxfTVyp3omfgaGu5M3T6sW3B0EHUQ8h7/MFgJGaHj7MDlJwyd8cVhk7xJhavzogckykzGAOQnuMUrgzG8JEAWFUj8ZRyUAzPemuGTpyE1QfOja0u37mLVzaVb1307XcUFKZRHM1yksoKrtD5YMFCxzK0l/LO0BlaRCJexgLi7VldnKP2jDbJGJtmkcs1o/lxo7Lq0NETK35f/da7H1IqTz1DZ21DkpItMwXWt9gs26o1G7JtQxi9UNNPnjm/vrgEVvGkF6f9/ZEReobO4rHysOnZCe+ic6CJoVPT1iizzHp4i3bI+5jR8zKGLSzX2qyoFpSWhioVT7M/TyPxdFoN/Ikm0hW3qydPnX7HxPzLajRadJ9Fj5DJJD9KbsZwNOHy+FvaXDDdMw5g3CILOjuGnLg+L1IuI0NnNjaoEbJi6ES/4421DU1v///svfmXHOV5Nqx/5fshJyfHJ8fnS/w6jh3bsYM/O8S7TYL9YmzCi3c7cbxvvNjYBgPRMtJotCEBEiAQCIFAC0Jol2af6el97+p1WjOy2cHYON9VdXc/U6qurunu6aWq+tK5PB56uqurnud+7ue+r+devnizJW0QyyGTK4RjeBfm+XJXGLprPvJR25bEKljGHPimAq8sgVqtMHTNmI7Gv9oGcDWjkCya0IGDc/5rZwydJBiaa3KpAEAzienA0GFs4yk9oxmbu0RDS6fOtbNUzn91ZmzNhEgrA+hAZinZaLzt3j27amYi9VIVMWdbIUEFVmOhQR/ecdd6tZ11wNC52VpTw9hZzoEi6G2DYUU8zFG3xXIVugpfqlR9Vxg6SXQtlBZlNsnQEUNFz7GFK0EMb65rtdbUtd3mS0PH0MFEgMtUri73Tj/Ccbp7/cg73vUeGIswGWHwbdy89cmnjx586hlYfh3bfK3wHb1m6H7001ul4lIzwM6TgW3rzWtk6Jo9yFoYOtzY6XMXr7/hS3Dk4IH87xv//Re/vvPB/QfgPHzvRz91CUO36veaEU2kf/zz2+B4AB//zL/id3gj8En2PfxoZwyddGSDxsGaAgzVs9wiH9SMoeuKzHSXoVv1ESwS2Po6zebLhXI1ncvDFzp/aepfPvHpZp9qSxp7wdDBJw8Ew3hFBTq1xdCZi7UpxJPpUCQeNbzBZEYTZqQrWk4dUPeToVMpvd/49n9JiJaqV4UdB+/Bk6ayWlsar7HUncHzOakFKThlDrOSVxp7vPaCoXNmRmwpm/4zdIqzUEmIEntoactgO7/47LMnz8hT2MLHDF2vn12J0PjUnFQyNcfNWZDRirffcVezrsGtM3Tut9ak/kDHJ5pC0L/z799raeljjtM0D5dWLAfD0WQ6Vyi1/V0OWa6qrIFxgHdFaWllijPLlfAlQ9fokJOeI4hhA/Y+2O7YXtnU1Ymhk3xgjBR+wWBJmlUXSU3pAqZ60q2aN9GWzWfbF6yfDF3realtvXntDJ05q27tDJ10YXvP+/9p/4GDFre2WZarsw85PjkLN9uS5doVhs42fcn2BiA8v7rzbtjrFuPANsvViaF79uRHP/GZSDylc3NGTqu5SWtb9Jal4l63ZKYVhg6eiSXLtRlDt+qis8TQtb5Ok2nN0EIVjKHe97bJWLUrjV1m6J49idsLReOBYKRQryLULkPXWBZK6F29J0YDq7t2LTeQGLqVR6hXu1cVzcQ1hdMbTaQwg63v0G0lWqq8bGnaKM+oEkUba40NbQydyvsTSk61X7BUDbP94DPHTuBTeP1Tn71+ZHQ7HgQ7PiyKbmV6tsLQtcXUdJGh6/Wzj0/N/f17P/B373n/xYlpldxq68oqHhz384Mf//yRxw9hgxOWv60sV69Ya9IDpDP2at/+A42yrSCVSc1zhLGdCwTTuXwHjsSqDJ3q6GpKYSZDR/g5gK6ZccLxIYghCqO7zKaurcXQwSXWSbp8SdxjjFqxXjxLlSLuTIHadsY0syRrOZWVQifO1bV6ytDh4q23SGvrzWtk6OATwiV27vnQFpExGwh96J8/ZlusSkilRobOubEDZs1SvL8rDN2O3fd98eYvr5qNIrlvv/zNb23L3lnq+jt8u74uLl955thzGPxwLCkJrbC2mxHczoV7qvVqR3iK7sqMc60xRVuY6wA2W4mt16FTI7bqOoWc7Nx9/y1f/VYsmYUKkrBnB1XQrjR2l6HDdGe0QigSC8cS5olunaGzdVZXGLqrZbIrWm6wDB2+d9fuB/Cnd/79e81FGCHtsWQ6Gk9i0ls8E+qAoVP+vCRsSnSYbR+G7jJ0qreAw9xJ9TrbVgZ9ZuhU00+MUjie+vinrzMnvTb7oCqUds/GzRZd2h+GTtogQKnathPtKUPXu2fPFSriyi6EYyJCjx867GyAQSFLrndjaYvWGToPWWtCKNv2O14l/s7o0tMo25Y3SDFEOb3LasWZuYCRkd/2ubUzQyc1McTSVhaFnO2RoSOGgaEjPUcQQ6sNpKmr3jWul0mc3mbozIOVLy3CQMnkCvDDYWDBEcV/ShpsZ2rUudD4vv0H1lLZRCwYcwNKC6TZZe8YOvjY73jXexq7ztmirTevkaGLpzJwsRz8apmX1okM22YI5hCVRoauWWPWar3IkSXYrSsMHQb5H/7xGtvslUbWw5aVEC9lVYZODAu92Fy5eviZ4//y8U9HE6lVXQXn5nfieHzgQx9R7nq3ZMa5X6dK/DHzbs1WYuu9XFXP01XXKcbwez/8yc1f+UYsmcWQytscVEG70thdhu7pI8dD0Xgklkxl8+Ynap2hE9/eMh0qRdriB3ZLy4kCh2boP0Mn83L9DV/CX7/8tW+psMdyVS9INxcImpOFe8HQiT8v7Tslgsa2r3F3GTpVAq/ZYlG9XC0s/EAYumq9vy0U49iO3X/xV3/9pZu/ks4VnD/oECeoWsT2lKFT7Tta79/dLYaud8+ezZflWLRQXnQWIctD2bZaEoFvhejxkLWmCGVM/b337WvdNBUhdzBOZH/BZaVbSzqXB2bmAo3B2mtn6EQJSNy9mbMTXU2GjvClW06GjiAIWf4SH2YkD7EaXXOGzhxjDxNBKtzni5VcwYitq0fY5Y0ENBWH3yJDp2KCzID1Dx9gLTafWI0f/PC1jdEQgjMXxuGY9Y6hEybiv77/Y2fruYM3r5GhE5rJXPjJ1gZti6FrFqdgeyn8J17cs/ch228/efr83737fZYYqK4wdC0OsjB0tkFYUjTdgaHD6pBzb5XQeuT4cx/9xGdiyfSqi0KcumbzgnvGnZudsW7JjCyc93/wwxMz9kmjd68f+fR1n4vE062sREwfnsIhIg8i8aF//ph5VWKd2n670FLPnTr7v971D//nq99M51biFJwZuraksZsM3Sc+c+ipI1Mzc7FEqliudsbQVY3umRbFpTKeGjeqrmi5AcbQCZ58+ih8Y7NaEO8Ub8ZgpoyMvFVXUGcMnSLLMJJYUI09IgS4GUkVtGU62mXoJBpXHnnX7gcap3V8chaLolFPDoqhU9FDgsaDhGYMncogtuShC81huVUJwsXrisFfC0OnZvYz//p5qG7byC9L3FZ3GbpuPTvEY6cRZ6pi6ORSUjOxmQhZHqpx3CRrtS2GzivWmno0DM4dd623bdUt5UqheczHS7YZ7hb671d33i2r4PM3/vu5C+MLoUhj4+loIr37gQedjxZWZegMGb4sal+VzBdNSIaO8BkxxxauBEGYNYA0dYXtYSnvQ1gZumYR+PliRdOpunI9DbaMwcSL5iaVzTwrvH7b7XfAkII5ZX49oxV/9NNbYbispbKJOBVf/tq3gEQ6Z3nz3EL4Czfd8h/f/WHvGDr5yN+8893rR0YbPToYcHevHzEf1bb15rUwdIppwiBbzn4xI7iNm/7PV+GMtUVk/MM/XmM5rJZL3fK1b8GttY2h+/hn/vXwkeMW2cC8wEuBBWwZhK4wdNV6gblf33lPI6ulk85GsWexfXHblsEJxZJ4HHzWlqHLaiVFzwnkuLuVvhzmLFeI5be+8z0sAYtXALcBd27Jge2KzMjCwSN8/sYvWfxYzM6Bg081Mm4OK1EcmPd/8MO2RYXwIp7CIiri4MH9M9NqomHOnL/4uS/c9O3vfP/LX/92Nl9u5QbalcYuMnT/8olPP/bEU1Mzc8l0zmJZtsXQYRywQMwDIo5Z2ehwhEczj21XtNxgY+gUAY03mL103NXehx79/679+PnxSewyq27SnTF0Kg3wU5+9HhPhkDmu6lsdP3ka9zY9t6DSBjtg6JSr/xd/9dff/cGPcSlZxVizYzt2v+Nd75E4HYsW6oChw9NJhOAap0n4IMkbbbxa4wexrqFS8CIW0XOnzgmzAA1z6y9+jaH4wIdsGitLqJRcZ2JmHoN8YXwqGEl0xtApohOvv/cDH3rk8UMys7gTjDZu4y/f9naL9HaLoVv7s+MjEPuFUEzc1J333q8YulVFCPfz3PNnf/mb34r+x4MLkXfHXevlFXzXE4ePfvjajwsn2GKWq4estapRpw/KRKi0v/uH92PjfvbkGWhUfDWkYufu+7HezVPmkOHeeNT37e/+QK4MEbrlK9/c/+hBzBSujJ+PPXH4m//xXby+6t22wtDVS9EtKxbD3N2VDB3h1+g5BtARxJBDzxUoLWa1okqfIlpi6BrHUQ+sM9JgU1lNug1iWPWidZXLi0tN9awcdcJUglmD32Ebbdu150P//LGt2++Fab5Gm0+uf/0NX4J1jsvi4rDPYKXBJIIP/8yxEz2tQyfbzOOHDsPXwgM+uP8ArDfcz+Ejx2HRvu3tf/uTW39pSY1s/c24mb979/t+e8/GVsqs2I4bhhf2K55Ivgsjg2t+6z+/d81HPgrTtoNOEbjJ2++4C7avXAomLGYWtnWzThHwct/z/n/CN+LN+AhmBw4wHr+RN+wiQwfge2HXmh8cIgE/B+6KGiLx675081fk3vCfd68fgVt14OBTjWKwc/cDX/76t+H7SZNWnZg2xfu0xdBhmk6dvYARMEssZOCGL94svMBaBMyZocNyWD8yCqHCLOB58SJ8PMzO37zz3fv2H2irqUWxUoU7hBuADOBmcEtyV/jPv/5//xeeq1Fo4bua1ym+/cSpMz+99RfvfPf7Dj75DLxTy/w63EC70thFhu7aj33qkceeCIajbQlwI0MnTulnr78BjiUEz3iK1Mkz5zaMjGKIMNcz88Gua7nBMnSKxsJ7fvSz/ysSIpzFT2+9PZpIRWJJrVjuEUMnedzicjtE0KimFgrmUvftMnRAvrR42+13CO1lAV7EOFiY+g4YOhlDh/zBtpKRJT1z89jOxqs5d4owA/oK232zlGEMqfkj5kHrgKFTCr9ZD9PnTp3rBUPXnWd/7wcuTc5IF4hmT+cgQmouVKcIC6AVDz75dLudIjxhraljqu//6Ge2gyPAd6l+xHiKZhnutnscdpm//bt3N7vyX77t7SOj29uqgmdvWtfP/NSRjxzVtO6utGUrEsRA6LlGeSY9RxAE9r5MrsCmrmti6Go5sEaTSr38lpHlly9Val0mtKJE2DXyF+UNs1YAACAASURBVGJFwZd+z/v/SXqNwZ24NDGDN6yxO5jZltr38KNS3BpfAYPyvzdtEcu11wydYD4YgQ0tD4h7+OePferXd96DF9fy5rUzdLrhXqxs2jyGAZHvwhCNbt8l+SBtERmymz71zDGY1zBMcTXcNuzXZpdSr1im/pavfVOCU2w9z24xdBLggCdVIoEb+M73fixSp94zuxDCixLJgp+YFJkFJQaqNNj2XXqf03SuKI1TVu39uuo0WQbTLLFrFzCHhYM7P3NhHLMgXiIuqJ66depKKQSM549v/YXclTyF811Z1uk1H/7o7b/57fxCGBpj5+4HWmfo2pXGLjJ0H/noJx7cfyBppOOukaGT5YnbXpHS933wm9/57rETz9sukLVrOUxZLJkeIEOnKq+97e1/K6lnwWgC73/25ClsH+FoIpnRsIM4WO0dM3SS+I/PrhpBMzEz/+9f/jrkCuP82etvsPRmbZehM6+UD1zzEVkpWDL4T4s66pihkzFsvVql8xjir82GqNkHLYoUv+MVh6J+eOpnT56RBrsY5y9//dsqXq8zhq5R4UO/fe4LN+3Z+1Bj8mMXGboOnh1L+/hzpz57/f9Wz47pE/fV4ekalS1kCf95fnxK6QqzfpC9Hv+JF9vq5eoha808OIFgFHbOp6/7nGI/MT7f+PZ/HXzqGYmaV+xzswz3ZpgLhO69f++NN93ynvf9k2Jg//eN/w5hMxeFWGMQAewKcyEelejaIn9Bho5wPz3HCnQEQdjtgMt67Fe+VGRT144ZOgfDIl/Sc2AzWhE/a2mwRg5sPQ1wmYUGXIhVaUfXXrwP9oTIrao3V1pc0kNwPWtPOLMwAxleaAnpHC1WWme+Wf8rJoSi8fmFMDRepdu+kJx89LSlkQsNYrjQknOKZ0+mc1GjIJ00Jur69AlD12IEjYegxpCbmst9VFmAYjhJ3BxHpm+QDO6bbvlaWz0fjGbTKainSs+URu0gUGfoaspfZIP8BeGbRDbbFFeKN0EQYhEZTV0rbOraNYau8TxEL1pXqmS1Yiqrwd3Cz2y+hFeU58mhdwlyxcotX/uWbU3oIWfoVNycVtQDQmHMl6tLXnelXMXQCT0H5aDzXEbdMYz5z/7v7YCb9QNuO53LhyKxcCzRC3mQ/jw99crcpoGlcLtUzZdNOhpPYoSxa3SdRJO6nG01/fQEzGNIuJyeU0V7aQj1PY9mpVdMWxMXiSUNhd9bt6Gilx9dFN7W5LSwLg/hw+g5F5oiBEEMlqSTbgd5I2iDA9Jlhq5qSoMVV1NaTEh4naTBZrSi0WVCT4MtkygdKC6MT/3DP15jW+l/OBk6IeakhbEl/NMHguoShk5qWUpefFGnPmtKQGqEPfzoQVf7eOVqMBwNRzGWWi9EQnRmTy1Xt5nF8VTmc1+4CbpIiQcEAy8aBekq3b1VKUH12etv6LgbjzthGUPCfdvKFUtIFC2fgRg87/z797beTUUFTUMXxRKpXk+ZHG/LSfaK5FSXGUZH+EABNusRwfEhCEJ0ArY/nSyC6c+mrr1g6BpHvFxdEspDKxoknQFN7wx7dRos2bq+h13cdvsd7aZ7+JKhU6ENilaui+WSn0753MDQSZBU7ZzEiJ5T/uqu3Q+05TsN5OZz+dLMXCCWTBfL1Z4ydH040HaJYEMgv/rNq1KbMQjYoUPReCqrFbo3zhAt6WjZVgSNJ9A4hoRLwkZs6TnCO6f6eqx3JJaMpzL92Rzl6NrC7VJsCK8rQzcbIQRBuMTJyhcrGa1gbppErOubpq4nD1YyuUIyowHpXD6bL0lzCars7iIcT9lSHsVKdXT7rr9557ufOXaid9/uCYZOjqmlQ7G0JC77NBd74AwdbmA2EMoVyljyek0fUy7PI48fgjTee98+Nw87ZAOPMDUzl8r2KgKrDwxd1QvlmWsF6eJJ/Fz7Po0rTM7O3/DFm/+fv/irL938lXSOxdqInhuaKpmADIt3AUUEbyGWSPUh6lZqs0oYneVF+iqEpxk6hzMMjg9BEGY/y0i1rLCpa78ZOnO8ktTd11tMGPF0tVawRjfYfKlSMFXMJTrGsyfPvO3tf/vFm7/84P4Ds4FQIpUdn5zdtmvPNR/56Dve9Z7HDx3u6Qi7maFTtbpVxJxR/2vZx0fWg2Xo9EaEUzPv/cCHPv2vnx/bufvixJQQdnsfeuRTn73+L9/2doily4v3w1WLxJLBcLRHYacS402GrlpPLpOuEbl8qeOtWvXTFPzLJz4zOTvPfYHoHTFnjnuiC+p1QNPHUxkApmnf9J6lRTjbiRCe5uZsK9Dx3IIgCBulcfkKtt2cEbbF0eg3Q2cX2G/kFZYWpTTVSg5sqYIXhTphGmzHG+TsQujXd97zzx/71F/81V/DR337377zc1+4ac/eh/oQSOJChq6WdlStdWgViID5rLejqxg6cTxyhfLcQnjDyNZPGpQcpBE/P/XZ60e27ojE0+5P04glUoFgJJnRLB5UF79CpLEPis4TLh8EBkIbjSfxS2ddFLHTf/u7P4CkveNd77n9jruiiTQ3BaIne4qJm2Nmom8AKzQcSyTTOVikfYsgkAQfJT9k6AhP60YydARBtBVLnjXC6FiNbsAMna3i1gnUQjmj6WmwqayWyRXwnxJVR7VOrNFcwOLXG0GUFiWxmrZvf7wOKf9prGLvDbh0twgEIzNzgR7FuIlkSmRxf9SsJ4YdYjMfDCdSWaxWan7CteHYrOjvS8BJgNqXgpj9+UZVis5cBYKcL+FRe7vdPxEEwVwE6S+aL1Z8HzrjJYauupJ+uCSWip4GW6rUwuu0YiZXwO8SW8c0WKKdGIeaOAkJwqjMvqlaIdwB4UO9OOa4czhpoUgsHE307lSncnWZ8P6fbLuT201l83odqHROOrdwTREuIubqoXP0OX0J2Jwzc4GMVqj0y09QAf6KoWPXS8I30XOk5wiCWFV7wBWSdgVk6NzF0DUawVKbSShVGEz4uZIGW68gBueNZ4yErQcl3JypQyu5uf7RcxI9pxldm7075oXSotBzqazWI09Jkcj9iev2CqcgDC/GPZZIQZC4WxNucDtZbG5I9q90Lj8zO5/Nl/r5pRLmb95oJEiTYkZ4naFjfitBEK0oELhdelNBb+ZdDQVDZ2u+wInNlyoZrYjJM7rB5jK5gnThZKYJcbWluyRNWhl0ORhiq1yFb5PLl3pRuK2fyBXKk9OzsUSqdzyjOGZGctNyf/Y/D6lKKUgXiSWh57mEiYHGYl+RahscEN/DCODV5hdCPWoN1AywW6DozBuBFM+lcUv4I4COYkwQhDPgvKvsKzJ0nrKSDVdWkhYLpUUJr8vUW8FKwA5LjA0tMacSWmsRc7BrWcal/6FPRu8Xzagj4OmVKDFcM3OB3gXQqbMHCfAkQ9foskLDR2LJZDpHko4YSDi2uSMEx2QYAFUDhROKxPrcVA5bQL60aN43zU1IOC8E6TmCIPzvRZarEoBFhs7DprPQMVpRZ1ulG6xeYrBUyRcrJpqGJ5D+d6Iwy5YmrYybG4BiNaZAUtF71Fehn8hohXA0AT+tp5EUUnmhP3XozC6fh87TUlktlkzDZ+5Pu1uCe4q5Qyvdy2FDVivq+fXJdN/aRCjPpGa9VK8Ko/P6WRcxzPQcGTqCINo9m5fKZkPO3qzzzZPU2QG9Yh08ulRGS+fyeivYeuNO7hA+ZoUkoRX2NG3ZAZpoteRWXwQn43FiidR8MAxl0tPHEa9MEl375gd6SBNKnb54KhOKxqHbGfdO9NzVNAVf02YYQsiRgB62219tY5BxNqc1lT7uDgTRMUPX2V8JgiAsGqPW1FUv+zC8Hv06P82oiqWq9Qeop8FmjTRYmWySOL6Jg7UEzameITQFBhOWbCS3Yon5INBJZ83K1XA0vhCK9LpeqUR0l/tYDtxzp1K4WylIp5N0kDBqb6IHi8ISMcd9ZGgRT2Wi8aRRqGGp/0asmDSN1g4FkvBuAB1HiSCItrZCbMHpXH6Y9751vp7gZWkXoNJgpbmkztMZ8Vaq/BPTYL1EwlZNJKy55BxncGDOrd6BThhwf+QhQqJSGS0UiUViyV7zQUJu9jMp24tFtTAjWa0Ygt/MgnREVx1LJrQSFkDtAwOpaKwYOrMQmuljzg7hLXqOcksQRAeKZaWp67CGkK8bnskuG1V4JaQumdHTYDO5gp4GW4+qo2nu/hlUlQeL9ZYgnLLBRyMXKxKj6psMRDxRIBgORxMZrdAfhq6fwRoeNZqlIF00nkyksgyjI7oTN2cc0XHrJ8y6MRSJhWOJASo6OTxWMlkrRccwOsKtq6Yz/o4gCMJhK5SmrpagcjJ0/o3AqrcUyBuVy7RiRW8xUe8GC88cf2KTAbfNmnBz+Xrko979g26VKzjTJb3yIxZOqeKb5HE8RSZXmJiaiSXTve53IUWvJIauz8/oubUjLTVSGb1EFCaIBemINZgBVyxprRwZolqvORCOJqBkBhcvXGPozPupYQUt8WSC8FAMHek5giDWGFGe0QpacUir0a0bZjMdNhCssbzeerKiusFqxbJKgxW2joFaAwtwMKxSOVI2NWnldLjlfAPLROg5PzXZxEPFk5np2flkJtfrh5Jk/HxpcbGP2485uc9zswNdnUznovGUUZCO1dOJ9mS+sd4cB4cwsWN6Nn0skYKSGaDlI6fIFoaO9VgIL9JzlFiCIDr2j1SG1hBqknUUAmUACeMAUUjn8olUFv55JlfQipIGu8TNZiBGqjRplbg5DourJkj6Jhutdnw1NVj+oWgcgCroi5wv9b/OgncZOtyzVqwshCLxZAYSSIVMtBo3x5qzxGqAyVGL0tUKAw1OXzYCq69YXmSXM8KFqrVd8o4gCKJFDSO0jB5GN3zV6MjQXW3EG2mwllawmXoOLESkxhaxIEgP4+ZqxebqHVrpVrlupWBSpDpAXo899ttaiCVS88Gw3pCg93mUtuESZOic7xzzgtmJxpNwpOmyEqvu6eqXqmPJJIKAgSeVLvtwPOO4Lyw3tg+qVaOjuiNcH0BXZQtXgiC6E9i+lC9VxCMbNpVChs7JuBeqSHg6ayvY0mI96ZL8UXdG25LQahijtEfdGGpaqz1X1GvP+ezpIHihaDwQjOhxbb2XPVVjscwYujaFEF50NJ7K5ApDW0SWsBXsakOxOUZzEC0C1l0wHE3p4bnVwao46WBmEVq2rSdcZbSzhStBED2PbS9XM1qh/wW7ydB5aTcy+kvonSVSWS2ZzuFnxsjy00NgDAebbsCa4uaMoEV26nB59BzkP5Pzp66URgThaDwaT/WHGq4YiUv9j4zwgQENXQElLMnIVBdE1Vxg0QC7QBDtArvbXCAI026wh09ibUoCQetRSwTRZ027ih6moBIE0YUwumXp6jls5/Fk6Nrkkgx3uhbnpcLrtGKu3mVCTj65ObXEEaiRNKIRjUiiJbpVbo4vk24qeaMigP/mqFBaDAQjkVgyoxX6xNBdrgXQ9XkwfVDFGUMH3YvJSqZz2LypMYbcXZRtV35yEyE62+MyucLM7DwsusEG70uF7MbYanPiNueLGKzKXdW64EARBNGVrRm7odEYoDJU2x8ZurWaUIVyVZL+zGmw+WLFVEltiamatkFzV3doJa3p9gBS/RBDKxZKixBpHz7m5St4upm5QDyVwcP2RxQls3sgKsIHLAbc13QuH0umE6ls/2v5EW7wEi1NWukcEmvRJ6msNhcIDrYInZJtMZBsopNYB5kYqHBWmxf0ZAtXgiB64bAIxzJUpj4Zuq5Jj/Rk1IqVdDafTOeSGT0NVgKODAaKp/orXHixXNVr+ZWrMjKUH5cbZJgmPblVK+RLi37tpwOBjKcy07Pz6Vy+nz6hzgYOgpv2hxkN7ZFIZcPRBISzD509CFfRc6pDK/dWoitbACy3hVAkX6q44X70fmUN5VDlbJjSTgz8XIQBdARB9E3zYIPWinra4vA0dSVD1+VQIxUdpreYKFa0YlnSYDO5gs7WGXXWysN3BKoOhFUXCIkbYtyc+xkQSLL0Mu5P84RBIZXVQtE4gD2gnwydou8HpK+ueF2xQKkmUtlgOAodO4Tt2IeUmGNCK9FtYI+T/jPwBNxwP2IyVewSXSnwxGBj6Px98kcQhOu8Ub0aXTmjFYYnjI4MXU8d4FoDBPj8GYPjyBXKuUJJusHWc2B9m92pYhzK9eJ9KvOXJqZXpg9TJhRzwb/Rc/Kk0XhyfiEsLb377IMNyqL1xzIsV/UAz1AkFk9mcnogHRWLP31CczZruR43x+kmugVJmU+mcy4pRw3N1thHyExSc8qIgZyROFgUlEyCIHoV516u+rVRIRm6AcciCVuXK5RhCCYzGn7m9OYSFaO5hN/SYMWIhHFZMPppFCWhlfVTPCWxemsIrah3uTb6n/j1SUVKg+Ho/EKozyX2hLYe1KKQFeqDGdSLyGqFaDwZT2boHvjSJ5TyWxV2YSJ6hmQ6F0uksOW5JF9e9HNjvIDqi8IpIwaiip0DnKmfCYLokbMm/TnhN5GhI7odUGaUqxOrK19alPA6vcuEkQari50RW+fpOiPmHhpSaU6Pd2AukrcmsZ7cKqrQ31YXVpxRyywejSf76fao1O9Bja0oJX+wyVAyyYwWTaTSufywdWT3sTeogjKUCuImQvQIsUQqEksa5/NXXLIE9NMju/thhRDCVfRclfmtBEH0xdSHZzokTV3J0A04xEwvBmwE1pm6wZavToP1Ri+F+hMtSUKrFDnGL4u0Iz2nBI2YMpHJAUZ49Q1YboFQBL4Z9H4/H1YYOn2NkKHr0jymMpo+j/jtMgvSeXVnrF6d0MoOrUR/NCFUB+Cq81HcTF53Ray3xGAlov8LxDmAjqwxQRB9IOmMcmHlYXBOydC5SOwkDTajFVNZDUjn8lk9DdYIYqpn97hTIs1F91QYIOfUo3Ko03P5EjAMLU30Ht5acXJqJpZM9zO5SSxaYegGHqbkm1nOlyrBcBRTif2broJ34+YWDbALBNHPaLVwLBGNp1y4HTduxCRECFcd5rE2IkEQ/dFFEkGiN3X1O89Ahs5lzonOxNVj0PQc2LKEMkkr2FyhhBeloJtbtu16xJxE/Mm90XD0LF21XDSSW6Xp8DBMIhZUPJWZCwTTuXyfA+gkipYMXRehF6TLFSKxZCyRko40XNQeIubYoZUYCMrVJa1Ygd5IpLJuY+hq/b7tOrp6uhwK4S39vKqg0uwnCKJPB1elRSlo42+dQ4bOxWdWkgNrdFqQHFgjpK6C/8wb/SXwV8Of6TcjpqxDldAqxea8kpBLNIuCLNaPJgaYetlnpLJaOJaAb6bh4QcRdjrYXg0+Y+gkLBFudkSPo8u7pOI74eD4mWliJrQSg2L2sRHEEin8dGd2QuM2IUVFaHERA2foGEBHEERfQyuMpq75UsXfRj4ZOu9sk0ZvTa1YzkoarHSDLZRrbVLX4NuYi/6s+nGhDqWAsV4vz0jB4N7seWrDmFBpDTE8J/N4zGg8FQiG+9+/T/KqhNceOEPns2mFXkqkssFwFMLMpe32uDlT0ByHhRiQxtAjqQFsBG5bJtJqvHF7Uh1duXCIPpyjtBIBzeEiCKIvh/HLErrk76auZOg8FiEi7FitU2o9DTZndIOFsEpyYuvlw/SuKIVyNJGZD0ZmF8KBUCyWypSaBI5KfIqE9akuFrQRfYBynZ6D/AxD7TlFSuJ5Q5HYQijS/4xIxdANtpKCLyuOY2ahGKPxZDKdY0E6lxJz9YRWdmgl3MDph2MJI+y24sIlI1VEbEvRDc9+TbiQnmsxyI4gCKLrDpQ0dV3079kAGToPs3XlqlEArlyFjEpyYi0H1mgFu5IG24RES2vF+VD01LlLR549+eTTx544fPSpI88eew4vTIUiCeXZqqC5Gi24kl1LYs4Paq5yeVm6CWvFIUpuBSDGiVQ2FInFEqn+H/8K3z3w+FO/9gSUzTueymCKjcY1PN4fsJ6pNunQysEhBg5sf/PBcDKTg65w4e2pCr+NJB0zGIheM3RDGIZPEIT7tZNWrAA+tvDJ0PmKUZYWJ5lcIZXVkukcfpGexMqMU54SMDW7cODQ0yNbd67fPKawYfO2zWO7nnrm+HwoKoFFZSmHV1rMFysqnZYD7rNQYai5YTOztKLulYWjiaxW7L9IV4ykdTf4Vz7mSqADpSCdOx3vYQvEUDmt3EEIVwFbwMxcIKMVXNKDq+G8YUnSFxo3CwnE5oIiBnJ6pxQ7h4sgiP5Hl0svTb82dSVD57cNVRo4SC6qkQZbqbWCNUqM4RWjmN1iJJE+fOzE2K49GzZvMzN060d0km7XffuePnoCBqtq0qr6UdAW9A0wrbVM/tLisHWFw/Omc/mpmblEKjuQXg16NyJ31HD0MWMCwU6mcwuhCOa6XF3mku8/MceEVsLte0FV3wtm5gLYCl0bEdyMoVOJrlxWRNcNg1WNEwoeQRAD1FH5YkWYCl+eE5Ch8zNbJ1Rd3siBlVawksyYSOXOT0zte+Txq7i5lTC6sU1bd+zb/3gomsBndfuPUQ9+jLjMlypC2vr1/MEBePZ4KjM7vwDlPqitxSUMnV8TXcX3hoSHIjHMNbtG9E2crHFzdXBwCBcCNlIyo80Hw1qx4uL9eknfqe06urLRCjGQozv23SYIYuDbd84owe/Lpq5k6IZou9VjpoyQumAk9vSR4/fev0/n40YEW/97ZOuGzVs3bt4m2P3AQ+PT8xlTAqDaj7klex0w9yW4UisOaR39VDYfisSi8dSgSoPrWa7lqhtCF33M0En4CfbvaDwZT2V40tC3uLlFAUeb8MJpTTKdC0XjebcydBL0bRyX2hSKlZLEXGtEd9V4i/mtPHohCGKAzqz0OSz6sakrGboh852MqiWxRPrJp4/tum+vQcaNbRgZ3TiydWTL1o2bBfqLO/c8cPr8pVAkUY+8M3pQFCuqkaue98r0Cg8Cc6cVy9KmujJ8qX8isZFYci4QzOVLg0p+FIYOu4tL4m39amdLuGgqq8WSafxkQbqeEnOWFhDcGgj3I5MrxFMZoOBiE98h5lrsOlpiRJ8P7ShyBEG4wcKXpq7+ywYjQ+f7jbbWg1VSGiHH6Vw+EIwcfPKZXbv3bhrdtnHL2IbNWzeMjG7avHVky5jB040JQ3fq7IVgOAa3Fh+Rn0BGK8CiFei17YzkWYH0VdGK5VozWaOfrDB6QupJVeNydUnVC+ce3/84ykJ5cWiTW6tG5iNENBiOYhVI55PBLMzqsnumwPdJUhhqaLBILAmV5ctg+EHtL1W7hFaODOGteOpoIuXyUpVYX7WOrg1bxkrgKk0ponsnLq2weBwrgiAGrq+E3zDSknyllMjQ+TCQQXXNk1pjmVwhkcrCOw2Go3OB4NTM3Nnzlw4eemrXnvs3Ggydkeuqk3QjW8Y2j44ZUXVj997/4IXxqahRwEkYumQ6F0/qR82xRAqvh6OJUDQeisQWQhEAv+A/8SK+CG+IJdN4Jz6SymjC7umMnsHi1fi7+oGwha0zR2FYKDwyems/aoAWE3puaMehWLkM4YSs4uegtLlQ57iTRXdsJ8OwrLB5Y9KhlKCFqEO6SM+ZFTiHhfAcoBNgz7j8BF5K0clJZ7PNnYwJ0UXd3oqvwbEiCGLgwLYoEUhuSEsiQ0fYxEbpqYtaMZXR87nC0YRECeEn/NJILBlNpBKpbDKjZbQC3nDu4sS+/Y9t2Lxtg9EdQi9Cp3dx3bppy9imLaP4+cCD+0OxJJxZCXyT81tpKFZrFFuuFo12sYCeAFta6UehQyvqcXZajd0zkMe9JdM53AagM33JNBCNrzB6+h0apF4tXs8I06tH59VC80zheEv0DFs3uYwevnrtOb92vWkREKQ5LIxYcoBMjVQOck+W8TBY23C/s0ZBOmibgu+O2vp/DlS+mpijEiY8CuwFsJewGbhchvXCCIb11eyv1GlEt85deKRHEISHFFetGp2/3FsydB6TwkrVJms1ldEU5wUXVCxOiWjDf+JPqayGd+IjuvjiCpXL0UTm8LETY7vu27B5W0Mv19GxHbseffzQfCiSwWdaOFg2hb/V6Lwai1dazBtBc5rqJ1tn7vSgPIOwU5yd/FILu8sYf80ItVcj7CxptrUcW4PCU8XyavXyTGm2YtQCcmOGY7k8VHEfYtlrRSN6bihrz5lpGojQzOx8PJkZoEum+iy7ZC8Zhm6AErcI9QL1CPWChUAfowPPjQmthM90QjimB/57whgQS8Z23XE9Et06gGELV4IgPJYlU7ksJICf6tiQofNAtILyiMpG7aqsVlRZq/MLoenZeWB2fmEhFAlHE7FkOp3LS+9h5010Ynp+/2NPjm6/d9PoDmDjlu34ObIV2Lnv4QNHj584c+48rmlkf/Tce1fsHpZZ3uD1hFHSGb1aIF5eZyGTmaieY1tjIcNGmi3GQdJsYWqb02yF+MMHhdcTLg/XVGm2NcKutTRbj7aylfhKeXYM7JDbVRAqCMZcIAh5GPikuIehG55KRsVyNZXRoC6MphF0aNtz24aBySWG6MDGMKjEavJKLo9x1mjf0ZXLk1i7nm9xL6CYEQThqvALoUfc3JPdXQxdIBQlOsDcQnh2Pjg9Oz8+OXPh0uTZCxdPnTl/8tSZ506exs/nz5w7ffbCmXMXzl24dPHS5MWJqfGp2cmZuanZuem5wMzcwlwgpGMh7Pwt49Nzzz1/9tHHn7x/3/4dux/Yfu/9O/c88MCDjzz+5NPPnjx9+tyFZ587+cyRo88cOYYvwpV7+sjzwQiAe9ZRu3/8DOIXDAWAX/BoCrgf42EDQlDi2SemZyem5zAUOiZngEsT05cmpzE+F8cndVyaPH9xXOHcxUsY2DPnL54VXLiIV/D6hYsTF8en8Cl8FleYmNIvK8M7NTMn3yv3o9/hQhi37WZBmpqdx/0DumCsJhK+B2Tg+dNnsXYwm4OcF5HwFhZp3yCrz83C3L0VMYf1jpUOYuM9RwAAIABJREFUReH75+2mWq6LBweN8Ik2CIRgJ2A7wKbvEfVVM4ca16BaqpxWomNV34pub/FtBEEQfXVhAkEhQ7Cz+0NH9ZahS+tNBoimSGXzyYwWT2WjiXQkbqSmRmIL4ci8wVLNBoIz8ws6/TQzb/BEOmbmAvhTwAgZi8QSsWQmmckZYWKd3AC+ejYQujAxfebcpVPnLp69MHFpciYQjsaTmUQ6h2+5cGni5KnTZ86dn54N6NlhnX5Rf0ZSz5NNZ3HneC6MDBCNpyJ6wF3CCLhLSMBdMBLFIOPpAAz1fJ0TlN8DWNgGjBUekXfiJyAfxE+9ul8kZkIckK/Qv84AvlpHIi13EtfTkHVgvgyoNN58rwYkndPlKqbHGxpyog39WsthKV0cn8KUQUgGeDO4k7okuGhSeieNrgKGHat11mD/sUCGfF3YrhQLeqqpCGJQwPLHjg8rC9u6R3RXzVy03b/EBOI6Jdai9lt5G4eLIAgX7o9CpMD1HqyL1y0wy3UAuUKq0rbKWtXJlHhyQSeMQjOz85MGExcIRqT5YCqrSXJ1/wPLtWIZ93D67PmL45PBcNSvTQbqk1JLs5XeF6pwXq3ZRb3Y30qabSyhWtkKZycVbfRq9PVWtobFvNLK1pxjW295sVTuQZqtPEhGK+gtqCuXmZJQMfoaY6awrAZeiQ+ShqnHT/fMi3QDHB45warELo7liZXIvenqylxXzLn/HBPCr8BGLEpA1wIeuWcYDPlixXYLMzdW5uQS3S0/xwp0BEG4XI8ZPTMrRhEbP9RbJ0PXP+8X5mBGK8IzjCXTUkVOyB0jGq5WOi1l9Fo1UznS4kCc+f5vjTqvUawkUlk9fHRyemYugDu0LYPis1pLhqW7LPSZpY+tamVb62Nb700h3TCuaohh6mablPYX9c4Y8VSmRvZh3o2pXymcZ+qPoXg96YAh8qC62dqa4/IIuCsIGz415J1bzWVEMcKhaBw/Bz4gtTYRVXcxdEPl2mH9YklCCWOV+amy7FpmX9U8ZbEhYjjKklagAaRvjIcYOpgBtjYYK0USnVXFbVHVc0cgCMLl2qxYrtaaunq/KSIZuu7LR63XanGl12otAVNPvUzHEqlaxqXRazUS03ut4g1Zg0/RW226j/rFLcGKnQ+GxyenZ+cX8Aj5UsUfFHWXXdwar7d8FYtXvioiT3pfGJxdzszZyS+qlW3q6la2NcJOK5hb2aputsIM1vhBgwUWsk818FUkoxG5ubRoqirte5NLnhEjMxcIYrnhl4E/smrk6iqGbqjsbzwplgbkIZ7KYJkMp+PR2IyIHSGJ4QH2Atgz2FjL3jHlsTylyZXtOpXDYC5houv7Ps9sCIJwP7A5+qapKxm67ro3pqzVRCoUjc8thKZm5mpZq6FIOJbQkx8zOck99JYhBbtwwahMd/7ipXA0gUegIdhdgk/i9YTXa0yzlVa2sWS6Mc1WL65XL403r7cZ0Rv7CvmbytSpPT2gryixmUbc30p4piWv1gfdbI1o5+WSwZPiSaGsMXTnLo5j6NzALMssu20Yh80EL1f1eHijXmSymcc7DPuXaAB6X8SwyT/2RJhn2GE9dwYsRRKa5T2Uqzw9JdrYBVq3DbhHEATh6i1SSjzlCnB1ydANaaCcZK3mCmWhTiKxpE6OBMOBYFivR6aXKkxKJbJ0Lp+7OmtVrCvPOYRlI+M1lkhNz86fv3Bpdn4BT0eSruv8iDnNViLyVKbtVTm2V6fZQsAyeusPvTmGSpeG7An0pgSmYL1aOKdB9sXqabZ64m0yUwviq4fsGRF/ReNEokbtqQp6rnXscW/xVPbshfHDR088+sThhw488chjhw4cPPT4E09NTM9l84OPoSND5xpafFkvSJdIYUUMT0E60TDlq3Pk6XoRw3bSjrU/Fwh6qAid0lqyBTtYp1zORHcD6Jg9TRCER0zcZUkp8/pWSIZulW1J+BHpHqAXIMyXMlqtZ5YENMX0gKaUztBF44AeuJTWSZBMriBZqz6zljAO8GanZ+cnpmZm5xd0z7a0yJ174C43RBT6SGg1rVhWFJ7wdyK6KwXyamm2Kzm2Ks1WEm8Nki5fS8WtZ9oKJBxPcmxrabYGJK7YQJ3LMxpiCKMn8XoCndqr/dITmy8USz5/5sKDjzy+bdf9m0Z3rB8Z2zS6bXTbrl179j759LHJmYVS5fKg4/uWXNi+Q7HDQ7V2IJ8Qb+htCLOPC9JZDwBMee7Un8QQAtsTdrpgOOqtk3ZZwsLQ2S5eLm2i6wdyInUcNIIgPOERSwSVUY/Lw4qLDJ19IHc9ymApX1rM5kvS3iEUjc8vhGfmAlMzc/g5vxAKRWLRRCqVzeM9eOeQWEV4Rkh/IBg5f3H80sQkRoZntoMPbyxVIKVyaNApNbNsTrPVimVVSNFIs81LN1vFSuu1FCMxc8OTeitbPShPIvKkxqIKx1MtUIr1QDw9Fq/azTRb/Om50+d37Nm3YfO29ZvHBJu2jG3cvHXD5rEt2+498MTTqVxxgHlAwtANpDVzKxvbEC5kCDyEGYLt14J0K5QcWz0ShAHsRJL9gM3OiwGAq5Sio0lGtGCKMLieIAj/aTZp6mp0gfJwzQcydCtRkZhJiULSaYhESip8SZEvyVqFC6eHF2W1TK6gslYlSq5cXRoez6fWLbRUkWA6o3tECM4tq58MKsxTUlwxAx3zPmbyqxbdVitQtaxi32wybY00W+mGIYzeVQ0xTK1sddS72UpBPelmW+f7kuY029oqM4L1JEZPtbKVFacK8Vio4VLlciyVOfjUkZGtO9eP1Oi5DZt1eg7A7xu3bL//wUcmZgLpAdUekhEmQ+e+kPgShBCAgFV8pMdsI+boaxEENiYpB+HFyFnZjm07ulZria5LDHoiWrH3WrQKuGsQBOGlQCKjqas722+SoWtKLTlkreplvFQZfqPdqjT707NWNZ2VKxp8HMMQ1EEuBmd2fkEyXvE7M177f1AgRegkem6ARnl9cS2J8yAsXtEUjmdufGGOyzNXxzN3s1WtbFWOrfB9Ks12Jdm2nmkbT2cnpuYefOTxDToxt03n5vToubFNW7YB+M/1I1t37tl74tS5aDI7sIEySn27k84e2mSWSnUZ8gbN74O0fdtsVu5ZBGGGHMR69GQRLodssrbqmtGyRLc2enNDPI4bQRAeIii0YkXacpKhc6+jYspa1QPlVNZqOJoIBCMzc4HJ6dnp2fn5hVA4Go8ZVcMV88qzo1WRyRUwdCefPz0+OYXRc2dwkI/puXQubyTbL3vdXlReByC18yTNthaIV+fyVtJsYwksWHM32+nZwLMnT9+398GNW7Zt3KyzciNbxjaPbtsyil/wih5Pt33XfU8+c3whElfZteakWvNxcS/E2AhRXHI5Qzec6xcKP5nR5hfCEDbvrqaVMFhT8ji1JUFYlgk2ET3FVTfzvHcmoaxZ231EFVBmGB3hsE2QniMIwr/JMVekqatWLHtUg63z6/Zjk7UajcOTDwR1Zx6/S69V/CmV1SQMB7NYrBe2l1AgbkstJlxgnDGkUzNz45NTgWAYg8lh6YOBLkGghdKiD2TVGvhTlQTbJXOCrTnN1hyjJ2F6GI1oPH3q7IX7H9xvxM0BWzePjm0BtoyNjG7bpKe7jm3bufuxQ4fPX5rQ9UAkBidNquapknk5I6l2pe1yV8dWfCdJUHKtaA2n3pPislFDGLCpe2sQLEFzbSUxEcQQBhAZBzwJj26dctKjR/s24eBUtQpON9FoaLXVwpUMHUEQHiWCpPq5C1vzDQVDp2JSxEvHZEjdK9VrVbJWYYop4BX8FW8TdkMV3OUmtCauulzFOEtAYjAcxRQ0q2RMrH20JXzXaBa8KJGew6yFDbJS5+JDkfjzZ8498OAjG+u154SkG9kCbNswMrZhZOuOe+8/fPT4+PRsJJY0+lroDJ2OZFrVwruqs22mlmZbS6o1+Du9X63RqVmK4tUa1LYg7ZV6iqs7GbohPzOX7VwXg2TGEwXpGhNa2XSPIFo5Wg/HEtF4yssno7rR67D7sx4LscYweQbQEQThaXUnBc0ALxrG67w11pZuj5XqVYFyRtZqeHZ+YXp2HpgLBIPhaMzg4+BaF01Zq9xyejRBWAYzc4GL45MTUzOpjOZR3trlgyz0HGTeMNCvDO04iB6AjAmrMh8Mj09Onzx95oEHH9k0un3DlrH1Rv9WPZ5Op+pqrV13P/DwuUuTqWxeDlgko1ZabSQzOq0fNbKfQpEYlMn8Qgj6ZGZ2HlINfYKv0LvWGuUp8Y0q7M5o5Vwp1IpUOiXPyg1LaJ4PLHhfAhNaK0hXrrp5HEwFHJZZzJsgWifiofChw7HGPZ27oM6HnA1mzjhhsZpoDBAEMRwBHDV/2YsFZ9d5ZZRV3BAGOpnOwT2uZ63qPnMwEpOsVXOvVRXnUg9y4U7TD9sXcxSOJianZy9cmsDUZLUih72LC6FYuSxdFzzdoWbtocsQMyx2LHwh0SBpelOXZAbL/+izz+/Yff8GoeRGVDCd/svmbTsfffypWCpTMkqH1giOWkbtSoMLaVObNxrISjk8HfX43MaKePhq3EkwHJXuz+bkWdFIOounFQ2ltJKY7FreZ8hVJWQA84XZxE8X9nm0jZujK04QrS9wqUSMBe714HHpae5gNtPuJSx7R7shERw3giA8HEZnNHU1+nx6rG+76xg6iQio91rVs1YltkW5xFEjJU0y1ELRuGSt4k8ZrSCRLHp/K8P75e4yKOQKZczLxOT05PTsfDCs90vzbC8Vt+Xm1JJbjei54RFv3dkwWjBDtMS5kuUvDSIgbEa35aLEbM4uhJ4+9tyevQ9v3bln0+j2jVu2jYxu27J1+7adex5+5OCpsxeLlWpHnEidwistStid9KVVOfXRul6S5Fk9f9bInFXJs7Vu0XErc2dOnpWyenKuIN5Xnyeax+Z4/Lxe01CfPmwrLhkNdmgliK4A2lUioHNeLpir9sRmpwg1jcF6ykRdHqrtFPOhJUAQhA8gRdu92NR1XXXQLsfVjseyCpSTrNWFUGQuEJyenZ+amZOsVXi/krUKJ6pcXVK7DjcSty2JZCaHWTtz7gJ+JjMaN/u1R8/pWiZfcnnyXdfZonrfukUs/FAkJmnU0AnhWAKKolHnQodEE+lnnzv90KNP7Nizd+uO3dt37dl9/779jz5+5uyFaDzd0/g11aZGsXgQfjldgEKDBsP9A6LTJBk/EKq1r1HJsxIILO1rpHeNbedZ8yl3t0SCdrmhvrANlfV+wdGEPviDziU3d1BhCyOCWAugmaFssZtgT/H6WYLsDs6bEdUF0W7vIAbQEQThp+iWjOa9pq7rBjhkBhmne7CpjKayVucXrJWeTM5qRUWX6Fmr1WVuIW42CDBNmNxwLDE+OT01M4c5NRIzWcW8Q0NcDgGk/8YwiL3U+MTyj8ZTksoaCEbC0YQEzBpdMqq27eoMNrMKrRKJp+dD0YmZ+fOXJi5cmpya1WvJRWKJnjYBWDlyuDp5VvJn4RxK82iZTag1FYinkmfjqYxKnlVxgtCKYQkZNqfzawVJns2bRmONS4xtQFV8il6QzmghgrF1Sdwcp4Yg1h7jHwiGk5mc10P75dxOjhBsdQKPWwhLDF1bJ6OUHIIg/GHPS5UhN5y4u4ihU9lh5qASyQsTX1SyViVaAdATxIzeDrofa8paZaycRxcGZjAcS0jQUCgSk6AnTmIb9Fw9u1N6Efh76ITYxZNmtIIed5bQ1YI0bdC7vhhZh4XSYuuDoIqC4yKpbF70DHTLoDgXvbmNXoRuyaIeLcmzeEzh7CR5NhqXzNlULXn26s6z0nbW0nnWJnm2ofNss2Fk2wEBhguDCYHBdPSzIB0TWgmid4sLihEGSSZXqFQ9X8hViiGobBIHTcKpZwwd4+gJghhOBajCXDy076/r+h5gyVo1UvP0Polwi+Fhws2WrNWZeq9VvIg/wWYqlBfNETF0Ef2EZDqHST995hx+JjM5Jmq1RRNIsJULi9Z3PehMivSHo4nZ+YVLE1OQloVQBPohX+qwVbaEH0ZiSVwnVyhJ7jz+E5p6IBIoCbAdtPgwd57Vq3NqBZU8K/yjtM0RKhw/MXDzBq0ZjiWgY83xyNJFR9g6S/KsBdXuJc96d/VJQbq+dby5OgaTxBxBdPmMBFsM7M+sl4vQKZSrS0LSNdMS0lCCDB0d1NbzW7nvEATht63/8rLkMDlsl75l6CRrVfce61mrUkVOvMRQNG7xEs1Zq3A7dcqGgRv+BWQjoxUCwfD45NTF8clILAlR4bCsuqaKBuuv6SUXfctpQjZy+VI8lZGik9AY4WgcugKKQm9ZW1oUIqmzx5dm29BFkD1dCHMFvdtMPJnMaP2XQMWydXaG49B5tijNZ0srzWfxpLbJs1h6elhiNB4yms8afTZqybN1/ZxXnWfzzVOJh8efxyDo4YrJtEETL/dSNmolFy11BqkJCaKLnDuUfyAU8YcFIoa3aGmH95BwIUPHADqCIIY8jE6PBtMbLXojjG5dJ45EtZa1qhXLjVmrevqVkZalZ63GdMSMXqu612dkrer8pclioBMyPAQ2RMUg6fQer6Fo3GjxyqPdJgut3rm1tmR8tEZqqazFFTZfCq4tGA0ToC6gT4QN6cpTQ8YMhi4iDX301FEjObT/ZykrDF0vxd6h86xKnpXgOykvsJI8a+48a8A2eTaXL3WWPOvd0AM8OMYKA9JxLOeqgefmVFZqRYLoEaC1oNPCRjVSfzxRubpkrpxAzoWwTWwiQ0cQxDADTookIeU9svuvW/XU5Sr/weDmJFAOVg6culAkNr8Qkr6EM3OBgB7/kpCsVcUsKF3PoAACzjzE4+L45IVLE3OBoEFm0x21H6isQYX4JrlVaZJi5TL0QzSRmlsITUzNSJvmmJHL2qMuq5LlapTCXMS3CC0YT2ZyhXK5jyUJJOFIQobdMykqeVaPvKsnz+q6XY+tk+49Iek/K8mzgWBEJc/GUxlz8qyUSjSamSw31lAzl7fz1i6A8cEz4tnxs4tzp4bFf8wmQbgT2HrkINnrbSIscb7Oia4SnEsNM4QMXVs7C300giD8Gyd0RSopDarMUdcYOlWyXULkYNOEowk4ZoGgTa9VSYmSeJ9CaRFDoJy06tBXMiIsciUEDaRoYmoGiMaTRb83QGjX4MYiktXkmwRDPAWeSIIX5oPh+YWQ1KDEK5lcQZidcnWpRw8LTYWv0ww3Jl9ahNaS0DC8rhXLfRthzGzZgKvm1D55trSoIMmzBn9XtE2elUYW5uRZ/AzLHpGosXjJjCZh1FLcQGhKr8i2tBUWxx5PsUZlZYmbo1NEEH2DqH2sYt8cfYnX4aBO1TEAlcwQBtC1bQnwrIggCP+eWKimru5XdOvEb3TotSp5T+KDhepOlxBzOd3dKhtJW8tmN4MuB7Eq4OovhCLjk9NTM3Pw53M9i5/yXsaK0RrCB8mt0hUhmy/BHTJ4nFQ4lpDaZ1Aj0DASIdgHmgbfFYzEIHKSjIn7EZpJbw6bK/StQ65knnoilqEx11K5ec2SZ2XLsCTPqrazjZ1ndTh2npWTHilROnAuDw+OG5MH1LsJ1w+f2uqT2NihlRslQfQTshMZBzPLvvE6yrWznyUHFk8OwKhtyNB1K+COIAjCc1pRmrrq/QddbwOsKxsR8rWCUImUnrUaDE/Pzk9Oz87OL0jWKtwqOFFCGViKWJOMIzoGPHD48BcuTZw+cw5SN+Rl6cQ8gvNvEN8V7/KV8iDQFVLxJxiOqiz4EHwjvcbcYp81RjKTgx5LZjS9j6pRiUBIJUnqzOQK/RE8FaTmfjlfo2IXp1Gd+mCEMc7YR7DF6KF2kVggWEuehWxgo5HkWT3yrp48C8nBpmNOntWDRASDS57F/UjBvlyhJEy6HleY138v6WEsV5zHU2IVVS8IbgEE0We1JtG+fup+o2pDO0QFqo6uVDtDRc+1W36OEkIQhL8BLQefAl6h+4Ng1sEvkqxVvZ1fPThOd420oiVrVR3BkZIjupidAZGDf37h0sTUzBwk0OEc2N/mFB4cbr/wEfjdi0tM8nOhPaLxFBSLQfFHdIo/lZHM/0E1BhViBbdRMMhB3CdeSRntXCVhs6dtOk0BkkLPeSOGbo0MXbPOs3lsKPXOs7W2s3bJsypw29J51sifTUjyrJ6qrPpXGG1/pQtH73YoPEUinb04PnX8udOHDh996NGDDz7yOH4+evCpYydOTc8FLVu+JZu1ys5IBDHQWDNoD2gVn50FSvEQh7QdlqIjPccAOoIgCNkuc0bnUpeHwqzTibl40qgTlDP8nJKlIBRj5YieAj4tfOw5o9/IzFwgmkjB2a4MWcarnmZuNDHIG9FzXlloohOMnrN6kwHpMCBBUgI9jVQrDLy5NQZWJTfJK5CxVFbTjPBhqL5UNl/ofWSfsFQeKr7WH50vGVg1/k7PctXjz4Wzk7YVUmxBCDvAnDxbazubzEhtQSkviNmsnTPlCqrzrJw2NSbPtvWAxUo1EIoefOLwffseHtuxe/3msfUjWzds3rZpdPuu+x889PSx6bmFjFY0OzxMaCUIlxwgQb3o/H4y7cuMBHU+4RxGR0kYEoaug9QH7lAEQQxBeFCtqWuh7xld7TF0ZqVMMo4YWJrG5SvReGpicvr8hUtS1L8yNOe9eFKtWJb2x54IITRFBumZjKmsFokl5wLByenZqZk5TF9SL8Ttol45uJlEKhuOxnOFsvJn8LtE9uEX3L+RZN1bGlFCyTwk1W5z5yQMRCXPKgoPLne9kVG986xB9+P3+YWwdJ41h91JzB0uUmtq1HLybCpXOH3u0sjo9o1bxjZtGdswojN0Ok9nYHTH7ocPPDEfipCVIwi3AaoDCx96IJXRfPl0kunioHCkXB01EgPoBnUaRxAE4ZKAengQejyQi08m1lEvEy5ZMDrXk9HmAsHxyanJ6Vk43nhlGNRENm8ktxYrXsl/hCeguzpGg9SZuUAgGA5FYlF4PllNkg2F9XDPPYtoBYKRrBHfJFwPBjyezMgN6/mVxs33dPylIY+HAiRdGHBhmzwr8Xd65qzRaKLWwqIeiCfJsyuNjxIpPXk2lpDM2YWQUefBSJ6VGnPC4mW0Qo3IM1oAS/jJ7EL4yWeOb9qyfcOWsQ2bxzZu3rZh8zah5zZs2bZpdMfojj3nLk7qBwzsY04QLosyw9KWsG4/MnRLogwddI5KdKVeYgCddUtlAB1BEMN0YgfzXncAy1XXhpavM4pwL6r0H5UBBP+HWpvo/5pJZrT5hdD4xNT07LyRlljxa16GlOEzuhYUsQBdfrhdNmrM6TmhcHIMjkNVB4vGk5Ix6tqU/lomdSBo9s0w+KmM3pBa135G+byUEUfXO3kjQ9fnmzcnz+YKJUvyrLnaHVSNnjmbSEUNSPKsvEfyZ/Xk2Yx26uyFhx55bOPotg2bt27cMmZg24YadJJu/eaxE6fO4frMJiMIVwFKHsscy1lFUvvMnJD9xUHzmGN7KQ+k58x7JUWCIIhhO7TTz/KN9Cl3KsB14orA94DfIoV7alV7jLLu5gYR5rQdFr0megdNLxYTP3P2/PjkFH7xEKnRrj0tbS4HXqatlXgl3GosmZ4PhscnpzEvgWA4Bl9H71ftASZCWkNMz86nspppCpZl/PEUeFL8TKb1WpzQ1r2LPXSOcXChlA6DhpdQVkWX61ytQeFJUcVgOAqxnwsEZ2bnnzp85N49D+jE3OatI6P4OToyunXT6NgGPZhuTEi6oydOheNpprgShNvsioVQJGV09PapElvKG+VBnFW6R/tQEb3g2hhARxDEcAJ6TyuW4ce6tj74OpUfhBuVVpLCKUqsQS1FqF54G69bqm4bhS2WqN+JbtoZRi/keDKjlzabgl+8kMzk/NQ7QqLnZDXl3Vpxz6iOV0mmc6FoHBMxvxAywuVSeAXKwYi9rXrF1hcCbmpmDu6Zuewm1Bf8NSg3qW4mVYqkMEEvTrZLi0ueq0PnY5pJHq1cq0C3LCSd7IayIUrPCtkNISfYAU88f+a+vQ9vMkLnNm7Zunl0DBgZ1WPoNo5u0+PpNo89c/y5QCiGdY2rSTQ6N0eCGDiwlmFLYBWXfdqHqmLsYs4KR1qZ8/CADF3HMXcEQRD+UJgub+q6rhb6bhBtEuJRK+hjlPLRYbgoVyFfyhg/pX4WoNWr/1iyZWsheFUmzBKdRLUk07n5YHhiamZ+IRRLpiFg7ow1a9eEwhqROllG51YXtYbA8ErcbyorMUQpSWVdCEXC0YQeYpYveYtjMgdQTM3M4aEsIqSHzmVy0jQA6iuRzsKF63p/n3rSpV43zXPi6okwSUu/I3Pbh6tQK+CwAixAM4SqswX+dP7S1MOPHty4Zbue5bpZZ+hGjHg6I4bOCKPbvO3YiVPhWGplQyzVikjUY9KN7zX2RG6IBNG3wwYJozZSWvyZgS5nDM4NW5V6pPLx5YFTBymulASCIIbVMNDLN+Xc2tR1Xev2DZ5E6lzA8dCDC7SihJ/oFbiTmWi9U146u5Ita5B3eiH2lZZ5V7fJY7Ys4QwITyAYuTg+ef7ieCSW9HpZulr0XL6k00DlqksCA1VjVgmaC4aj8GQmpmZm5gKhaFzvy7q45HWvBlprLhCEsrLkmUroXG06ZASMlP+uP2/FoOe8NYyu9eUsPcevYuWqK7ybMGJyViR7kDpAuvoYabkeDH5VU9fGjWkmEDr41BE9Vm5kbNPmrQY9N7pxc62dK17cuGX76XPjWa2kGs6KdOl7otF6QiLQaxvi5WVLx1jugwTRC2C5wVjFFuDLInTKuhBF53zspwKHKRX+C6DrA6lHEAThp2AgPUMUdrn7stnWtavK696LuEDWbnrFlYTZcrYefCf5QdJQT7JlFX8nUQYr7SnYCZ5oMDrzxUoskZqenT934aKR8ap5NEtFoudE+PN67bnBcx/S/wFLMhpPzS+EjGxcjbTeAAAgAElEQVTWcCSWTKT0UDKtKKmsfkiKMajecDyZMfSwSbNJSjV0k0H+QrNBZekdJArlLoqZoTmXRcsxhq71HWelBGqdQZN9x0y6KYrNxLXVGLcV0s1APRTuKgLOfFxkZspsBT6ezj1/9sLotp1GluvYyJatRgDdmDB0ozt2P3TgidmFsOlblmXezfHpK/mz9Th08z64uHSFzjNBdPmEpn74ZNH//uNoRI2saorQ0h7yADrz3scBJAhiaEkGTW8lVy66r6nruq7bB+KQmLNl5eGzV2fL5kxJsipVVn7W3JWre8uq9rLcToYzki6eykzNzE0YZekSqSxe8ZzprIdrGatgsNFzctJuFMUvSGPWcDRRS2WNJTDOeF1vXuGvYj0Y81A0HkumpS+E+U9QMpAoSeAVYdPbfeqhg10L2JQidKLEPLd7rV3lWpgv82HPCpklJzT4ujqxVePXrkpHXSHghPYy7w4r7zeuWa4uW9i3tTyIFGJPZbXJ6bnHDz29Z9/DYzt2bxnbvml028jWnZu37dp5377HDj19YXIGyqmtzVG2PIE5K1Ztf+asWG5/BNEBoN71VI940luWQwdqqk70/44MHRk6MnQEQRCrhtjrBFS+VHZZlNi6/nxNrljZPLbrczfe/K73fegd7/5HgiBsgQWCZYLFgiXDxUX4W9Sv/8K/b9yyPZUrrERhG+6lbQrq4uUrGa24aevO62/8d4o6tSK1IsHlYOtsSGc6B0/DHEdM98wf9Fxn0fEUAIIgqEKNpq5awWVhdP1g6A49feyDH/n4xz/zOd28+HsaWATRHMYCwWLBksHC4eIi/C7q13/wwx9/4vDRxvxTSwoqRZ1akVqRIJyXQ71fxJJzR1f2ixja6LkqK9ARBEFcfbJllJ+quKqb37o+0HPv+cCH3/W+a2hXEUQ75+TXYOE4u6NcXIRvRP2Jw0cp6gS1IkGsZTlUDIaulURX1n0e5hg6Tj1BEITaNwvlqtuauvaWocsVKx/8yMdpKxNEZ/Y3lk+zxC4uLoKiTlBUKCoEl4OZeisbzoZzto4eQ1dlZedhpOdUmjNHjyAIop74v5zRCkaTwCWXbIu9Zeg2j+2qZZoQBNE+sHywiLi4CIo6h4igqBCE83IQT6NQWoSbwUpkfncpr3Sc38p5JwiCMJ9b5Et6w9J8seKSA4zeMnSfu/Fm2k8EsRZgEXFxERR1gqCoEMSqy6FSXYaPYfS2XiWMTqp/0jfzaOgcGTqCIIhuKdXS4lK+VMlqRZdUo+stQ6e3UWOdZoJYQ01oLCJbVcLFRQyDqHMfISgqBNH6cpAsV/gYleryqsV3yqu9h/BNgwgVKkJ6jiAIolGv5osV9zR17S1DR+OJINYOy7KC7shoBQ4L4XtR5z5CUFQIoq3lIMFxOkN3eXlVsqbMfhFDQ88xeo4gCMIB0tQ1VygXK5fJ0BEEsQpgUUFZaMVKRiskUtlYIhWJJTksBGkXgqJCUSGIRuoNnsaqqTpSio5BVUMSPUd6jiAIwnlPhLud1Yr5UmXg2pIMHUG4HYVyNZXVwtHE7PzCpYnJafxfKMJhIUi7EBQVigpBNHIxMBtWjQKolaJjGJ3XSLqOnU9ONEEQhLOezOSkqeuAd0YydAThdswFgoFgOBSJRROpVFbL5kuF0iKHhSDtQlBUKCoE0bgWipXLwKo+hpHousR+Ed4KoGODCIIgiB6pWbjYelPX0oCbupKhIwi3Q+fm4slUVtP0JtA1g5vDQpB2ISgqFBWCaFwL5epyKwyd3hKUHV09xdD1k9ojCIIYNjWLfVM1dR2gziRDRxBuh62O4LAQpF0IigpFhSBsguOMPq3FymVn9k1n6OrV6OibMcWVIAiCKJQW07k8flYG1+6cDB1BuB22pjOHhSDtQlBUKCoE0SR9dTkPB2M16k2RdPTK3EzMCcXGFq4EQRC9RmlxSStWBtvUlQwdQdAXJQiKOkFRIQifLAcjVWdJDwG4vHq567KR6EoSx/0MHaPnCIIg+tAvQjV1HZQKJUNHEPRFCYKiTlBUCMI/y6FSXS6Uq+UWyswxzMoTDSKY30oQBNE3ki6rFSWMjgwdQRD0RQmKOkWdWAW2BhOHhaDmtEQB6AzdapV0JERr1bYSxAAD6PqcG0sQBDHkirdQWtSKFaNJ4xUydARBkLYgKOoUdcIJhXK1WLkMlBaX9Dw+o5AWh4Wg5rSUopMF0kqUVoUMnb8C6MjQEQRBdKx7y9WlATZ1JUNHEKQtCIKiTngJ6Vw+oxVgOWnFCkyoQrkKE4rDQlBzWggaYbFbY3PI0LmUnmOKK0EQRP8B27LW1PXyMhk6giBIWxAUdYo60RSlxaVi5TKMJ1hO+ZKehpDNlzgsBDWnheKRlbIqTcN4K9eSdAOpXkcQBEEYLdEH09SVDB1BeMP4Np+mMp+LIENHDHkdOsnLg/2kqDoOC0HN2ehgYIGsGkulTIuBFNwhHCaF0XMEQRCD6hdRWlzK5UtasdznUq1k6AjCG76okRKvl3zWcXmZw0KQoSMoKhQVgnBm6OBgtOJa1GwMMnRk6AiCIIi6Ls3mS4CcdZGhIwhiJZ9LjGxB2Qgb4bAQpF0IigpFhSBWDQFo0bWQGDoyO55OcWXCMkEQRBf1cKFc1Yp6ruuqjdHJ0BHEEME41l4uV+stC41Tbg4LQdqFoKhQVAhi1cg4o9D1lRbJHYbRuadHBBk6giCIwWpjeN/9b+pKhm5g2Ln7/jff/COAXzgazXDrL3/z6quv/s///M+hw8/Q+Pb34spkc5ho/KTYD+2i4z6yFkxOzWDWLl9e+tq3vkOtSHhoM23r3oZKztfO0BmRcbp30UorOiF3+lxth2hGsa3l46RZCYIguoVCuZrJFfrZ1NVLDN37rrn20sTUW2/9uVgq+8AyI0NHho6+qG8Yul17HnjjjTdefe21bTt3c9FR1MnQ+UNUuK4HeG/Xff6LiWQKJl8kGvv0v91Ahq5zhk7vRrfYYik6g9whQ+fh8nNMVSYIgugupKlrNl8qlKtk6Kz4ya2/fOnll2GZ+YPV6iJDBzsV1ur/NPz785///PLLr0xMTn/rO9+nU0FflAxd7wBPUhYdvEd68i4XdfWAzpN17Seve+DBhyGQeDN0qczvH9588/cvvDAXWLjz7g3vu+ZaXzJ0s/MBXCen5YUWkcvi3xtvvLFlbEeLF3nsiSffeksfNIweBtyjosJ13SJ+dec9WBRYGn/605+UBfLWW2+9+tprsXjixpu/2sG9jW7b+Yc//KFRhMjQtR9Dd0Uq2LZSQ8eIoVsixePF/FZWEiQIguhRvwhso1mtaASk90PHejKGDp4DY+haYejUP5i5Bw8dplNBho4MXU9j6F5++RV4lfTkvc7QYa+BwpT3NPv35z//2W1KtSvMxc9uu/3Fl17CPvvYE0+aLyv/ZucDrVzk0/92A7Zp+YinGTqu61Vx+2/uKhRLisJu/NeKQDrH0AUWQoyhWwtDZ5Siq7WZaoUhko6uZHk8R8+tMT2WIAiCcCDpcoWyhNH1oYwA69D5iqHL5wuwdAW//M1vYewuVqtiOrcV/kCygAxdL3DTLV8/eerMlSu/u3hpgnXouOjcydBBSsORqKjNt956S8sXjhx79o671uNT6zeNHj3+XE7LS6CQ25RSV5iLY88+h2fHIv32f/3QfNm33sLLf37xpZd+dtvtLe5u8hFPM3Rc187Yf+BxmBbCxL388itTM7O7798nFsiWsZ3PPvc89HkrR6qsQ9drhg7uRLFyubS4xFJ0fqXnunIFgiAIopmCxTaqFfVc1z40dSVD5yuGrpHdeN811546fVayjaKxBJ0KMnRumE1bZoQMHRfdwBk6I2wnLSFyhWLp9t/cZXuFr3zjPyenZx997AmfMXQ33fL1cmURFzl34ZLlsq+//gb+YVhOnDy1arR7LJ7AR1555VUydD5e17vv3ydZqPh5/MTJaz95XX/ujQxduwydQBi6VugbFUZHl8wr5edUiAcZOoIgiF6p6MtXpKkr9tNea1oydD5n6Mx/9aJFS4aODB1Bhq5vcnhpYurPxr/Z+cB1n/+ityZu7czFfXsf+uMf//jqa6/dec8Gy2XxYqlcxi/m8Dpb3LNh5LXXX8d1guGI17Ncua6b4Y671ktd4JdffmVkdFs/740MXWcMXWlxCU5Fi1mQ5eoySTrPBdCxhStBEERPgW00qxW1YrmVmHQydGTonBg6xX30yFMiQ0eGjgwdPXkfMHRCLUm5AM/Rc2tnLlTsG36am2DUGLpXX33m6PE//vGP5hJ1tpBGE+XK4tHjJ8jQ+XJdQzwi0ZikgXclkpQMXR8YOlWKrhUSh9XoBkLSrZ2e43wRBEH0shrdcqG0mCuUe93U1WMMnYNlBpPxwf2PwiuQCkEwHJeWl/HKt77zfVv2ynypzVu3X15altAJ5Xvggjt3359Ipl597TWpSfSHN9/MaXm82ZlcwDcuhMKvv/6GpEq98sqr5y+O33TL1x0Yums/ed2RY8+++OJL8kX4LK7QegNWZ4YOD5LNaa1btBZbGc9bKpcto2rbxLCtEVPJYidOnrpy5Xe4sgwXPhsMR777w586G+7f/q8fVquX5ZaePnJ8LfeAP+ENeJvcAGYBc4EZkTltJmxjO+61fAoP0jjLXqQtWpx36dWIf8eefc6h5LxUlzcXmzf/MzPU5kV0+2/uSqbSMrzOUieZibhnvEe1EcQKggxs3LzV+TFFaeCDIn74Onzpz3/x664T7m3JmPlSUALwhOW58ETqPXj91OmzWDjyJ7nm2fMXGyXQrOjwV+giyT100DOrDlGz3E+vM3RCLXV8aqIEGIO2/8Djos/feOONbTt3t6udOlPC5rm2bENK5Bzu/857NuDG/vjHP96396HGy+J+7l4/Ijmwqs1rs1UvagE373WGrs/r+p4NI5i1l19+RcQDb8CArzrX/V/XIir4ID7VTBK6wtDZHtt08OytLE9c6pmjxzHgakJx2bnAQuPVmk1lvlCUBeIQZ3ruwiWJSDWHqfaHoZPqchJG1yrjw2p0HslvZQU6giCI/qhr7KS5fEnDht/LLdInDN1XvvGf6Uy2sZuYJCtdXlp2MPIeeeyg1FKRf2Ig3njzV/P5gi2nAFPs8JFjzYy/7bv22HYAhDl4x13rbY28vQ/uh43eePONH+mMofvVnfdINkqLdeiUrfzk4SOwJsWCt4wqbtgSY9LuiFmKTDdjbZq3eEuLs3r0+AnlvbR7D7jOzOy8rdjgAaUXYaOw4VPwAWxb10HSOuN3XEVbtDjv8EDghzi467gOPoLFtWVsZ1sM3X17H2oUDFzq0sRUo6c6MrpNeEDbbpuYX4ugqsd8+shxKIfGecRiaXHdteLJdyBj6lJQTUJDyz+1uh/af0BxkZZ/8A8tnqFSdJu2bLvyu983fgRDvWvPA7ZDdPiZoxOT04033/gRHzB0Sp7L5Qo0yVoYOoiWWj5KJNrSTp0pYTXX2IawfbTykUbuACJk4XkVQ4e7El7egcQ8e/6CcFU/ufWX5g/6jKHrxbputq3Yqr7Brutnn3temod0qxRjZwxds2fHpbAE2lqeG0ZGhXNsy3hrnEpptNJIc1tMNUuYan8YOvErWm9CZzB6SyR9+uDvrT32jdFzBEEQfVPaWrGSK5TzpcXeFRbwA0Nnru2NX+5eP3LtJ6/Di3sf3A/rDS9KnwRbI+/3L7wAFEtly3mmGFJ/+MMfYMjedvsdsKVwwSeeelq4PHE/Go2/peXlF1+Cg/8K3Bjx8X522+3RWEJM4cVq1dZel+AIeEdwEfFFd969Qas7cpForBUzzoGhg6+VTKWllvOOe+9ry1bG1XBjhWIJxiuGFIDVKwax+AxrGTF4pMIyvPb66ydPnRFaAYO2beduGK/qWLvRcDfTcxg08/i0dQ/4q/JS4JPjG/FmPOPotp2QB8iMiI1F2PAp6fOIb5+dD0hbQ9z8qTPnMJV4fzqT7Xp+XJ9pi9bnXRYRZvCu/95kudqn/+0GcVPN/F0rWa5XrvwOK+jy0jImAl8NkTh6/ITMYGM/Yoi0KlV+6vTZH/zkVpEQWftyw5hls5Coe8gXivCj1CTiZzyRFHlwCBFqy5PvTMbUpfAe3Cp8YEvoE9YCrgl9su/hR5WekThZvH72/AVbRYcBwSidOHlKvgtCOzk9K2sQWuuXv/mt7RDhDQuhsBqiYDgijwOt1YuI0QEydCOj24QXtmi2dhm65eUr2AMgS9/78c871pCdKWGZa1zqhRfw46WH9h/AVwD4BWvKOSfRHPtmu+0K0aZ4TFuKQf1VGk34laHr0bqWucb+IjYMsGvPAzJxjapvsOsaVo0Egpmv32eGrq1nX3V5yuzgmk89fURdbT4QlGGxWGIOU3nbr+585RX9QQILoWZ1Hpvxd71m6CQ9J1+s4GeL/SIkQIDUj/sr0HGaCIIg+qa0i5XLuUI5my8tkqFzYOhgHr1lpNtZXHGJrROaoJmRh8/hao35CLg+fIzG7AbYgkL5WfwcMf7wr1q9bLmasubxKXOghBh5coq798H9towb3Kwf/ey21hm6fL4AS1ewftPo2fMXxb5vFsXmbCvbDqlKL4WZ+6s77+lsxGA6S9zTqkFnFsNdDabtvbV1D3B4xCFPJNMWTg3/CdO8FhZnJ2yW1FrB4088hdf7Znz3jrZofd63jO0UfuHMuQuWq93135tee/11S8mqVhg6WaoWLxHSK06v+YvwHildj1u6Z8NIs6acFudW3QMuePT4CctH0pmsfKTd2ue2nnxnMiaXkvDDPQ/sa/yuvQ89cuDgIcsEweEU4sYSAqaiF21jA1U4iXlGzEN0/MRJ8xd9+t9uEMa/gyFyOUOHURXfvuMqXSLAGLRUOtNI07elnTpTwmqul5aXVaEAy3bTLJJaYn+gloW1acbQqSg52zQ9WafqT35l6Hq0rrFfN+aZ7nv4UewpjTp2gOu63boZPWLo2nr2VZfn6LadjWngeJvEvVosMYepVMUcbY23wELINky1jwzdlUK52nopOpY2c39+a5UtXAmCIPpdje5KobSYyeHHUo/C6DzP0KlQnWbGoiIRmjF0zkWvbXmHxjgLMf6asTMqsgD+vzKLlctkG4wgWSQtVkRSDJ1tgszy8hWHKmwOtnKzWipyDowrP3n4SGcjJulUjXEBq1YNU50WG73Wdu9Bak5ZXNzGGmq2wmZbfEfNgu3huYdoi9bnXQ1IY2KgTLHF4W+FoZOsWMufvvP9nwj9ZF7Fcj8W4tu28L+tm2rrJhkMrC5gBw8dXrsn34GMraoZHCDu38svv2Iec1F0zcoF2upP5yFaO5PlToZOiqY1ey71V/M/y57iIMDtaqfOlLDDpoaJzheKzTZKzLLUz4LENtt2FdGm5FYC5RovogKO/MrQ9XNdK9WHTadxUgayrnvRHb4Dhq6tZ+94eYol9oc331Rx/atOpdqYLOe4zRZOnxk6uBO6R1Fdbj0xlu1Be0rPrXF4u5IkSxAEQbSFXjd19TxDB6NHwsQao3icM0BrzkObaRrNKAaHrgJm53lpefkb//E9yzGsLRdw7317W+/06sDQwVS1BFOsseGm2WeYmpnt4Go33vzVcrli4StbMdzlbFxqC7aVSdp4D7d87dsShOJQm69xTiEqUuK9GTUpH8nmtD6UmOlzo9Vm8y51qSxuTzOHvxWGDvOC2WkWtWFexbgN5zhTxUqYCUR1D7bJjIouaZd+avTkO5Mxs/vXetyrLZNifvGVV1697Vd3OrigZk3oPESyCvzH0EEPS0bbGhk6s5Lv+GY6W4wy1xaK1rJebDcp4RSakReNciUUlYV/b7yILxm6Pq9rZwNmIOvaJQxdW8/e8fKUhW+xxJynUm1/Fv5O9squ94hoi6EzGLcl+BXl1hg6FjjrNUPXlRp2nCOCIIi+h9HpTV2zWrHYm6aunmfoxFRyqFjsbOA6m2vXfvK6u9ePPHP0eDAc0fIFeD6qQLstQ2fbqKGZr+LcJM75r6s+4403f/XEyVNiRDYm3nZmK7dS9q6VEVPXb0aq2t5MOpMVQjMUjjrTc926h0YvS9nlzv+66LcMsJdri/NuGxfQzOFvhaFrtoga/yqv5AtFh5pxjRrD+TFt/9qszYX5KRoXbGcyZr7UvfftdV71Dz/y2NnzFxPJ9JUrv3v99TeEYLJl6BxkstEF7WCIfMDQqdVtO1/QqKqAACC5b7YMnTNB3+Ke0tlidJ7rZn9VeXnNYrsaNy+JTjUHMdnWnfQlQ9fTdY3xv+32OzDpc4EFXASqVfqKOvcz7f+6lgdssQpHT3u5tk6rtbI8scx337/v1Omz8UQShpMIeTOGzmEqG0PI1QLpeo+Idhk6SXQtVi4zg9IfDB1nhyAIYiAKXJq65kt6dVcydPYMnQOT5czQNTPy4EedOnPO3OPVwTl3IUMngK0pj5BIplqvfN+Zc9j6iLXlCZhL54ihbFvBpxf3QIauRTGTgBrzU8srjf0WesHQOSw623XXgZt69vyFV+3+mXsyOHjybclYK2v/zrs3lMsV27aPZOg6ZuhUDFErsb22sucskG3tKf1k6O68ZwMe3KGAZuMiUqSeypeUahKWThT+Zui6u64xpAcPHbZtBO9Chk7iMVu0T1zF0DVbnt/94U+TqXQzpdqMoWuqoo01ZQ63X3WV9YehU7k5hXK1RVpHQrTK1WXSQK6tQMfBJAiCGIga14oVoNCDpq7+YeiaHWZ2wNCZ2xH8/oUX8PuBxw/Bf8M7nbNcV2Xorvzu99/5/k/6xtABUrjNoYXfWpgaVXCtrRFTr7SS7KPefOHS+EsvvyzV63btecDWw+nuPTRj6LrolniUobMU2hPnXA2L5N/ZFgnyaAzdGj35tmRsVTG74671shDwBnz82eeex/j/5NZfXvvJ6xyyXFf1Zs0NeYeToVPZ962kobXL0LW7p3S2GDtj6CTex6F6va1c1Ytt6TsLni4SjTVexN8MXXfXtepv8PLLr2BOMe9Y6f/5vR91dsTY63Ut9TodsrDdwNBZmow7LE/VegVTgA3l1Omzu+/f97Pbbr/u8190yHJ1sAQUha3ofkm8bVZWss8MXbul6FRTV/pj3aXn1jikDKAjCIIYLLCZasVKFv/rdhid5xm6bTt3SxpIM3P5Rz+77cUXX2rLyBsZ3fbGG3rK2NnzFy3BFM4MXTOyQNXDMr+hPwwdzMHLS8tCDn7vxz9vy1aGTelc2ly9oa0RUxWUWumoYDbcFTeBV7bv2rOWWVPlC5uV0lPuullC1IO3WyDMW7RF6/NuGSupOifVdmybQnaXoZPajmbWu1n1OvO66xtD15mMrbr2ozHd8fv9Cy80FtB0YOgcRqlxGIeToVP9TPXXp2edw+jaZeja3VM6W4wdMHTSxahZ0X0HuVJtLnNaHpr5lVdebbyILxm6XqxrZaWEI9YaDs4M3aDWtWp+haG48+4NA2Ho2np25+V55twF/On1198wt4NYtQ6ds3kmJKbQ/aoyXS96RHTA0JWrOkPXegsIPYyODJ37UlzZwYMgCGLgmlyauhYrl7urkz3P0Cm6B96CbXky4QvaYuhsD2AtnWFtGbpmwRdbxnbAPbPYZ/1h6OqW4lutuJ0WW7kxS1El/cEZM1cZa2vE1PGyLYnjbLirvN2XXn75ng0jHc+a4kybEZfqI2YJUePcbGT8wdC1Pu8WagM+G9ajTK5tU8juMnSytB3aMateruaKUX1j6DqTMee179AvWC0rW4auWXbVT279pVAD5upIrmLosPn1jaFTwwuF+fSR411k6NrdUzpbjB0wdA58+qpEm3wWDzU7F9CXf4Oc+5Kh68W6lj/96U9/2vvQI806w9oaMANc1ydOnhI6u91Ct91i6Np6dufl6XDCKhGmHTB0Zu5bRKJHPSI6YuiWS4tLhXK1RXdCYuiYUOmqFFe2cCUIgnADipXLuUI5Vyh1t6mr5xk6VfTK1qdSUVcdMHSN5td1n/9iIpl2qENnVHxLW4jCm275ui1/1zeGDveTzmTxV9iIO+69r53SbzZD+t+btkgEgdl1bHfEJEMKLyZT6WapVc0MdzNJh/nteNaEVMK/iclpC3Gpcl4aJUTsdYzM0eMnGunO7/7wp5cmprpbhK7/DF3r825xI+FhPvf8ach5s6aQKvzENnyyXYZOiX0jXWued9yYOdysbwxdxzLWCkPXWCtNrQtbhs7Wkb72k9fNzM43+rquYujK1aV+ti1Ww4hVMDk9a6udbDsLt8LQta6dOluM7TJ0qnq9LZ++KtGmAqnkX2N8kC8Zul6sa9XY3dIlXCVHNzNgBriuzaL7+xde2Lx1u+3bbv/NXeOTU43tudfO0LX17K0wdI0Lx1xSoF2GTlkL+UJRYvp61COiA4ZO6lvni5U2GDo2DO0eN7f2kaylHnNGCIIgBo1KdblQrmZyBeyqZOiuMqTgfsshM5wZeBoSC3DjzV89fOQY3BgYWA5H0LbOzMbNW19//Q2xO7fv2gObD8AvMAfxulBLtgyd/LVcroxu24mPwISFASchfkZ+04XWObguMnTmIL5SuezMiJltZYyeeUjxLSdOnhL3FVfDNTseMbPjgfHZ9/CjmC+Ztfv3PQxDViWb2BruqmSPmaRr9x7wOIvVqkwNPI07796Au8KU7X1wP27ptddf/93vf2+bFCYOmPGp1N3rR/At0oAPT4TB6XqbiP4zdK3Pe2P2JQYNI4MlIBPaLP8LXwTBxtBhujGGnTF0Zj4FP0+dPvuDn9wqrqNMoi3B0U+GrjMZc1774UhU8UfineLnxfHJP7z55iuvvNqMocPE4YJYGvhq3ABGfsPIaKFYkjUYicbMrqN7GLrS4lKuUO4nQyfnB6ItRaUvhMJSMw6fgrxNzcwKO9YWQ9eudupsMbbL0EloTzM+vRWiTeUF28YH+ZWh6/q6/t6Pf/7CCy/KWB04eAiXwgXv2TACWZ0s7hAAACAASURBVML7RRptDZjBrmtoHknelKHAmDz3/On1m0ZxKfzE73gFr7eyJ3bA0LX17M7LE3uHUK7xRFIZkMdPnMRUymLvjKGT3HasL2jmt976c+u1gHvN0BkJkstGZetWc1eF1GNaZVdC57rF0JGeIwiCcINix/6Y1YpasVKuLpGhu8rgg6tj2wQN1hV8qo47RViuBmPrycNHnDtFSGcGywflsB0W5KAYOvW8uBM4eC3ayninsr8t42A5ne5gxGBSz8zO27ZOa6X9nCLp4BFJhFQH94APCo9j+QeTGsZ0s3P1Zp+S4YU/3/UE2D4zdK3Pu4XXEKLBuaYV5kImrnGuO2DogP0HHld8SuM8PvHU083KfvWBoetMxlrsFGERvEQyJcEjzTpFwGH+05/+ZPtBC2vvBoZO3JhsvpRM5/rM0Engj3L1m/178aWXHtp/oN1OES1qp84WY7sMXbOey60TbSoHcz4QbIwP8itD14t1rXY08z+JSnY2YAa7rvEVEOzGGzDfSWAhtOqe2FmniNafvcVOEZZ/WHpYgB0zdCpGtac9Ijpl6K4UK5fhVJSry62HCbT+ZqKnzBqj5wiCIFwURnf5Sr5UyRXK+NmtjdInDB3wre98fy6wIPWq8Q+/wHDEi521QoOz8eD+R5eWl8Vo/sObbyZTabhtq/ZybfxgOpPduHlruxxc1xm67/345+JRrFra2Wwrw8w9f3G8cVTXPmIqtATGtESXyKdgE+N7VaZwM8Pd7PFeXlr++S9+3dk94AHPnr/44osvyaVwJ+FIVPzJZgyd0IvPHD0Om1u+CJ999bXX8CC2E+3FXq6tz7t5JIVKcK5phTk6eOgw3iNXxtwpaeyMoZO1f2li6oUXXlTTgQnFK7Y33GeGrgMZW3Xt47kWQmFZNfKwR44920ov181bt5fKZfFp8RO/73lgXyOx4gaGDjtcJldIpLIDYehEUDeMjGKcX3r5ZUWdQKX8/oUXAgsh/Klx3JwFuC3t1NlibIuhE3LNoYxji0Qb/tosCs/HDF0v1nXj8sQrrRgwA1/XsC5OnT6LDVHadsltYKXAJPvVnff0tJcrnr1crsiacnj2VZdn4yrDf+LFjjtFWOog965HxFoYOqNfxFLrHymzX4QL6DkG0BEEQbhNvXe9qavHGLoOoFpJODhja4ez8ect9NQD9wpUOXA3zGn/GboOPq4YOueaVkSfZcyZtXEbVHJrNl9KpLKprKYVy0MoG31Qwqq7S09De7yuFbmuibVAGLqe9ojojKEzsnKWJIyudYaOJN3aaTW2cCUIgvClki+UFrNasfUuTMPO0P3/7L35lyRndeY//8r3B84x58A5/MCxGRhjwAaD8XgZbBiwYRh7bMPRYKwBjCWQLIQEkhDqVd2trSVarX2X0I7WRq3eqiqzconMjMjIjNyzqpqWWlJLvep737hV0dm5Ve5bfZ7znFapKjMy4o3I9437xL33CYzVnnjqGRQ6FLoOGVRvHZ6bR6HrhHvvuf+0jzaVsHD019h0RfKrxa1eIWm7QlnnJmQdmbFJONDTh53aswEVOr7XMMi1z+XyozF/782vQCbYzr3nVlvRodD1Eb9NiNEEhBDCgVN7ZwsL5SUUunX4yT/5s1A4ol17tt64C4UOha5DPv/CS+fOnRt2d+eZUeiChjsS9q9rRQJHeY1NVyQvEWA6m9PsOVnh9DEUCt3AqV0jR5DaswEVOr7XsPZb1kkh+egVOtV6ZI4Vdi73+Dl0y+Rwjbe+FYUOQggnsxvdqqlrsdz/LD3jCt0jj//61CnTvd520kN9holCN0sMjEcmJP4pL6003pNN1Hm/fc9e+aKNJhThGpvhSF6z59LZXL5YCS54FDo4LQod32sYJNCl3czInlr1/MBfWO640NXIQ9UVFCI60EEIIWwm0hlT12y+JGtrn3P1LCh0N992h9ynvrLvtRu23Kh3q9/4x29t33mL7aS1hfPxt976+XU3DHUfUOim8TAr1erhuXm5VP7t+/+ht9S/3LJ9IbyoLbdPnjy5+1d7J2FX86VqqeG2eELOuwzaAw8/qm/M5fKBxQeckGtsuiL5pOPa6awWt05UYhSTMAod32vYeaVzMmXL/efp06f33nP/uL4O67JUXV4V6TpLi9MELiWR2OhLXOkDCCGEk55GV6yoqWufC+UsKHTqq/V+C7x5/PhQ61tR6Kb9MJvivffeu/eBhyZkVwvlpXypqs5rgU439vNeN4BHf3fsyp9dS2w2adfYdEXy6WyuMVxEoYOTptDxvYZtzovi7Nmz+157vamx7IQodKr4dNvWGoWuh7ZxJNBBCOFGmPNlVfUKZdfL9/lAZRYUOpPF89CjbiYrN82aNKd3yaVy5ZHHf/1nf/W3I9gHFLqpo1wYt+/ZG08kj7/1ltxJ62Vz8tSpo0d/9+zzL0xUM7Xy0oo+6NauMZpPN/bzfunlV8rQacLIYjT2nYt/QHg2gdfYdEXytcWtKHQodJOp0PG9hq342usHzvlYWTl61733j0ae61mh8/WjFZl1Oy909TPvVsjkGrGxA/IchBBOURqd6+XzpWqlj6dZs+/lCuFsxKJyD10oL+UKZfnmyw8MC0R2gVwqXCoQ9tM0R+4oStXlrvwiSKMbvaxG+z8IIZwKahpdn6auKHQQTsfNd9ACRstSGBaI7AK5VLhUIOxH98kVK523ogtuRUij61BTG8goYeEKIYRT9HhGVlXXy3uFUs/zNgodhFN28603xwwLRHaBXCpcKhD2oyKtmUV04eiqpq4IRqNJoFsdcJIWIYRwavob9GvqikIHIbEohFzqkEsFwo2l0Gkgof1tu30XCl2b8akOyL+VBDoIIZzGVUBNXb1CuatOryh0EE4Nm363GRaI7AK5VLhUIOwzPytfqhYry+Mq4ZzVBLoBbooEOgghnLo0Oq9QTmdzJRQ6CGeS/vPt+jYxDAtEdoFcKlwqEPb7qL9UlduMzkWloCsuytFQFbpgnFFCIYRwGtPojKlrsdJ5HwkUOginhhmv4BXqS9kZFojsArlUuFQg7PNeXe4uCuWlrgpX5ZWl6goK3WjsJhgHCCGcOvZj6opCB+GkMxKz7HQ2kyvmS9WgPTPDApFdIJcKlwqEfctAK2t+EUe7Eo/Qj4ZfJ8UIQwjhtD5iUVPXXLHc7QMtFDoIJ53ReCISsxJ2OuMVtF+MfM8ZFojsArlUuFQgHEgUYR4BdhNCBDWYhGF19a2DLXFlVCGEcFoXhaWjmVzRK5S7fQaGQgfhpNNOZ+dDi+FIPGGnVYmX7znDApFdIJcKlwqE/YtBclOR69JyTiWkUhVT16GkvJFAByGEs9CNrlTVWteuVlgUOggnnYXyUsYrxBP2YjQeS6TS2Vy+WGFYILIL5FLhUoFwEMU4K3JfUaoud+8XgUI3YIOIKhauEEI4M7Wu1ZVc0Zi61jWUH6dC97FPfvaj/5WbJwh75X/9lHyJ1LM5kysm7HTMSlpJJ+VkPvbJP+HLBWfsUmcdgVwqEA7k69BtoWvQQ6MrIanRaB55blD1rUifEEI4G2l0brY7U9fhKnRf/cY/cv8EYT+UL1HwhZK756TjLkbj4Uj8b//ufzE4cFYvddYRyKUCYT9fhx5a0fkK3UqXCt3KAMUp6luD04E8ByGEs8GSn0anlo8TodBt23nrX3zpq9w/Qdgb5esjX6K6ZjFOxovEE1ddc/0X/+rLDBGcyUuddQRyqUDYz9ehW42pVF0ulJfkHoNWdONyh6ADHYQQzuQyYUxds3mvUO5weh+uQpctlD/z+b8w5XjcSEHYJeWLI18f+RLVfa3kHjqdzR0JLX76c3/+sT/8YwYKzuqlzjoCuVQg7O3r0IMqpIWuXWlDmka3kQtdhyHPUTgMIYQzlkaXzZe8Qlmi+PErdMJHf/3MJz79p9wxQ9jtnbd8ceTr06oColCq7r33gY9/6nOIdHCGL3XWEcilAmFvX4duKZFDh8FDXeCxYUU6EugghBB22I1u1dS1g24S/2UE+yQ3EJ/5/F+s1p7QxRnCtl2ftW5FvjJt7rz1Hk7upO998NFPf+7Pv/hXf8uXC87kpc46ArlUIOz569Ct1qat6HpLo9uYutJg5TksXCGEcHZFuorr5SV+X3ee/y+j2adsobxt561f/cY/Gqs1brAgbPlU/LPyNZEvSyd1K3pbHEukrrth69987RukjcBZvdRZR7hUuFQg7O3r0I1BwYr6RXSr0JnCzI3XjW5I9a0k0EEI4UyyUF7KeIVcsbxuy9f/wmBBOO30CmUraR+ZD8WspON62XxJvvymVqXLWz11c8sVyvliJV+qys36BrlZlMOMWslwJN6VjV3TTtsygKVq843In+TUOBmvcyufYPfkjMiZtdPZCezJLfujvRGtlCPXXyePhka/h/KNiMYTbjavp1iCSfl5biEsu80EAmEnqsFsrwUyRcgyenhuQaaFUCQWs1J+R+eNpTrpPYCsUK1WsTZvlOVvQ41VUI6KhSuEEMIOH4NJQJfJFSXW1udhhs2S0FHoIJz+L3zVfOFt14vGE4vRuJVyXK8gN9k5vyFl53JJUGEhd+emH02pKv9ukOoVK+mEI7EeWvDU3a/7w7XSpgeB0VAl8Osm/tEty4QupzjjFbry2htJZFsx8lzSdjKeXHKVyavQkRGTcYsnbG8t60ROhJwH+bJk5SfmEAgbqvZq/90g4lSuWE45mYVwZG4+JJNDzErZZrZe2jiD4K815nai3KVCZ97oPz3aUGNFBzoIIYRdJnOsSEiSsNOL8eTCYmwhEovEJW6X+KmKQgfhDH7nNY8pkXKiVlK++U7GJNPJrbYv0q10m0yn1S7aN3oj6HRmrozGJULrOY1Osw/MQLWObeQFEvJlc8V8qdrtYJrU6FxRAkjN7JiQmFYORK462SvbzebWUk4m7TqR0yrDJjsZZC/KSCYd10ra8gVh9oAwkBsCYW5DqS21E5qsBeFIfD60GI7GY4mUP+WWJmTKHdkT/m4T4jZaK7qBfzuwcIUQwplnsbwk4dJrBw4/8/yLjz357EOPPfnw40899uQzTz/34m8PHI4mHHkBCh2EM3jX6JfqONF4QkILCSwyuaJEF37RSi8VKGU/mU62KVtQ+WlWw7ak7cqgmVCsutLz4MtY+W22W95kV/w0DfkU38qn63tx2XjScU2dbLEy9rOgxys7Y3bJ9YJrYwKDNBlwCbNr0w9lt+Vr4qudS8wbkIVD1QFSePRZiExocwvhcCQWjsYXwhFZHfyHNxticGQm1+W+2xUqEOnIniOBDkIIYSOdTO61Q0d+ddd923bevGnbzhtquHvPPc88/5KdzuoyikIH4axlARSMQu9FrWRoMWqlZDYo5ouV3Goy3dEe7kTLvr9bTdnsDLbmkRGLWal+JBvNv2jfJ05riFwvb69JWt1mN8j+yfRtu9mxt+WWi8HXuWwZMy0Em8xG17IzMmKJlFN7/SfstHxBNlRqDITNp/eN0Wauh4T0aDwha2gkZgkT/kra8/ObqTt8Xeh7WAQ3wlU08GPEwhVCCDcCjyxE9t730I0337Z5+02bt+8Sbtq+SxW6rTtu2b3nnt8eOCx3Gyh0EM4mTZutjBHpTMWraUuX9womDy6oV+3hubqKdPp03X/APlNPy2WIrKSdtN2eyx47UehWU7pyRdOyrVguVZe7vY+X7RuBL531CqVu3z5IFdi/wCRoTZva1vN9miYtEUBLj2U/hYEMIZeuyTO1kqWNZz4IYa0YtzGrWTuZN2Ry0EzbxagVjsSj8UTCTuvTiNlPqPRz53uQIzeI1Duk7Dm+hhBCOMMLR75cfenV/avy3LadRp7bunPTtp0q0m3atmP7Tbc+/uSzh+cXJdBDoYNwVmMMk2+lmXTxhEl0yhXK2plOC1h6KXpdM3pTr9hZ6jsTNCaTQ+ttC0Fx0LoDIi+Tj5P5t7dgT86ginRjqXVVIVI+XeW5uh2YNIVOTko2V5S9DXa1snTUK5Qk8E6kHHIWIElzsM1cJxN1JGbJCqqZdPFESmaSjWDwqh0behgxFTdndXyGpGjzfYQQwtmmrIyptPfksy8EZa2btu3atG3n5m27NusP23du23nznXff//yLr4QjcRQ6CGc3wKiu5PyiSI0xEnY6X6ysstfOdJrGpWavQUrdDNT+qItf1Er2bO5ppCu/wXYnr5SPk9PhFcq96aRyWuXtbjY/+oQOr1CyXc+kk/g1X60UugkJNmR8VEmUAdddUrOORMqR7wUREdwgwhxt5nobN5nPZVaX6ULXUKPs22lNtZ5tfV99orqdyYO2GDOs0A3p68nXDUIIZ3tVjSfTTzz9fG3vuc3bdm4RbjcJdJu37di246Zf3Xn3Cy/vk9sMFDoIZzwLwG9Ll7WSdtRKJh3XJNMVL6h47U0kUrNX3c6qh+k0h38ScdnpbDgSy+SKPeuhhVK1k9492ujHeBfkip3k3DWd6NPZnO16am0xmmGXA5RRcjKeDFSt68LEpgOocYpc9rUGIHLFxhO2+SLkiqgVcOYz5hrJyHQ7jNl8SWaMmJWMJVIye6i+L7/s7SnXtMQS2sui+2apR2dVoQtsjqciLw9CCOFErapWyn3i6edqFbpNJoHOKHSb/SrXrTtv3nP3ffv2H8wVyih0EG4ISjghocV8aDHh2yHIlz9XLMu/PVe8Vmsa1hidTt3fptbsVXZexmUhHHGz+V7FUFPl2mF3bXmZnBH5LPm3t0xGkwuWzppsDvOhR0cQnOSLFW3oJrvdZp8nR6GTQdYitdq8SK9QCkfipka4VGVagDMvzw0p8WejUdZKWUCj8YRp7er7zFhJ2xfpZlON0idwPTxA0ruC2cvWHJ6OhjwHIYQzT7lbkNDjqedeuGHrTsNtTbh1xy33PfTYoblwFacICDdMMt1KrlhO2u5iNB5ajPnGdKaX3FrF60rPN5f6zFyLYrTutVRdnrqqDdlnN5s/PLfgZLzechVlC8b/rrrS8euN54N8XKXXNEbPd1NVr4Zhj496yCYdGaR1/E8nJyNArm0ZHCvlBO4fJh0mVzwyH5Jxo7AIzqQqR0+r4WWjy7oZs5Kms2vKsZK2/NCP/feEH6+s6bnui3kn09F7IF+ugS8ZwVjx/YIQwtlPoysvvfjK/q033rxp266mCt32Xbc+8fTzi7EkCh2EGyvGyBVWu60JtcpSNTUV6fpJptP+dKrTKbVAZlpu02U/Xa9weG7Bdr2ey379oz7a+SdKcCcBnmlp1JNCKqOdzZfkPGoqx/C0Xa9Q0uLWDj9oQhrrZNY8IoKC3CBTUkaeCQHOXoIPFXPDzaQrlh3X00y6aHzVKt12sz3P4RP+1Kq349KbgVkSngLte0h6Ot8sCCHcCDyyELn7/oe37bq1UZ7btuu2O/be+/qh+XS2gEIH4UbMs83mS2pOZ7wjjDHrqn2EpoD1c7/o33GaYk/dmvanm5YbUBmWI/MhO53tOSbR1n5dJXllvEI/hg8ywikn42S8wAlh4KquaZRup01xa8eq1oREHTIs6o4SnNDAD8RvTMdsAGfn6Qupc6OhZtKpcYQsFkaniyfVWXvGkqG08WgPvfa00LU0Q5LlkIRv9HQIIdxQTKWzr7524Fd33Xfjzbu37bpt685bhfLDjTfdJr988tkXVZ5DoYNwI2ZbqIjmRxeJxWjcdj0V1FSnKw1ApDvvIyEbnBazV69Qmg8tSvSlHnbdBjNrrbW7CNIk+DGlx47bs76mCpqcSuHAxVCT5ZcryoDYJg+t3GGLvUlQ6LRES/Y8abu1orMpek3a8svcWt0rhOgFsKvB11TcqJVcCEeslOOXvqY0J33GHuYFdlI9S8Z83SY80xxCCOHIKPcPpmArFHnh1dceffKZBx55Qvjw4089+8Irh+bCTkZCuhUUOgg3NHN+Z7Gg9bVEF+rxmq/xfOjr7rN63uxV8+km3OJNBiQciRvvhWKlewO7lR4SBo39gi+V9lOmWlk66mbzfW6kaXgml4Tjej1seeyxh1+Zay5v0+av5oxoLO22NqKFcPKVAqpZx04zb7tZk0lnLCMcWUA10bhne+7JvN7WRLrl7mfgo7Mh0g3vu0aJK4QQbsx7OYlQEo4bilpHFiLCuXA0mnAy+QuKe1DoINy4lMnAyXjhSGw+tKgmAEZNW6tR7f/2Ue9BjU5XrOQKZTWRmNjAUnZSxcoe/FXLS6aop4eCIOM36he6eoVSz8MiAytbUPeP/sfWD8yWZf2wkrYMhvwwdTk+anQr13btqZQf5Iii8cRo3G8hHHhmKNWsE/UkPJ3NhSNx4w3tZmX6TaScmJXK+A8AZuAEBV7tpZ5b0c2E0e2QDoFvMYQQwlZEoYNwQwv5RiHKFRN2OhSJSXThe1yeL1Dtv9/zajtkvyvNas+7NVeKSRsNCUUkxJKhcLP5bndPXTJ6CEjUItD18sKe79dNLl6xYlrFZfMyvP0nP8p2ko67WtzaU3g23vBDBsFvEnXe5daUA/u/FJK5AKdLHSBpblJTzIwDuKybcwthYxmRNjqdzDBJ2+3KNWiSj1Gz4HsTlKfR1X00CxlrEIQQQhQ6CGG7NC6vUJLoQkILK+k4Gc8rlAOP18CVtf9kOtX+gqJXvX2fnPtUbQHue/N53cYVelw9dILTXINsrqiWoz3HM6q0qnVpD6l8wc4YudCvmXVc4z7RQ33T2EW6ctWUuMYSKRmQIPvDFO16BW1CR2gEp0IXoKB1KjLpZMKMxhMy4cjaIdNm0nGtlKM56TPglqDrdQ9XoD7smWopCoMICCGEKHQQwnHejLpePmYlw8aazngXqHeE/tC/SBc8OpZNrbpSTFgynexMOpuTKMvYC/Sk0PU8RDLIGa+Q6aM/2mr/cj8+NH30uh9V3YLrFeIJW7Pn+jzj4zqzmpNoJW05hNpfysiYBMk+chUhHEle89FZarS/QR5xRa3kYjTue16bJxzhSFwbJkz7eQxa0fWi0K1dydOexIpCByGEEIUOQjiuSKMscYVEGsJ0NpfznVi1NFUzvAZyW6nVtau1tIMwphhQKLKcyRX9REJ7xApdyU/7SvkuPv2Maq5YlrPmB4bVXgS+jCdn32TPFcr9VzePKzCTg5dDkGOpLc6SI4poFXcf/f4gHGq2Dm3mpnbpPCrTTdJxwzLLJG0nkzMZuyknkXJ8p/Qp9qWRZVFXt97m8ylV6IZtEMFXBkIIIQodhLCz++nqqkinHq+aS6U36FrxWhqQlBY0p9Mimkkwe5X75lyhHLNScuAjVuguNHXtPZwLlD61FOz8wGXnnYyXtN01eW5leuMQ1Rm9wvmRlJ2RAVkIR2zXm4G6MzhjwlxdszmGZUqXTlkrZeaJJ2wV5mQikindSjnaHnR6c+j0WVpvM6dvoDSVfhHDM4ggPRZCCCEKHYSwOxbKS7brhRajmnYkN+h6j57NF/VOfYD3l2r2apxefQPZMTan0z2JxpNy1F3ZI2gCWj8KnUYyEtRlvIKpUe1jO5oKV2dj2n7nZc/T2VzUSmq+x6AGf/TnUYMfbSZYW5ZVXjJje2Q+JKEy3244aUk6CHMzc05lGtfnW/GELTOwUFZQP6vOK01nUzY1xJB1odyTQjeNha5D/UryZYcQQohCByHs5SayWFkOkukk2NAWaerHqlJaeUC5SEF516rZq29SMa6n7vKhUSsZisQ6TyLT/VcRs0+FTgY2nc252b4apa0mxLmeqZktVduHRvpiO501Pc4zRp4bYCg1+lCkbC6hitpc1H60HJf8MhKzTPUvX3A41qmVNnMzv3TKNL4Yjcu6KZOq/q+spFbK6c0aexLSA/1FuZcFLljcp+hqH16lOd96CCGEKHQQwr4iyWzeeLzGEintrVPwC1214lUFuwHeceqz+qDoVStqR//sXcKq0GJsXW2rbqBUoet7wI3faJ+mrro/sh3H9dxsuxZIWtUr5zfpuNq6brCjPfpyntX8QdfLmCE8/7kyGsYmQiLkQpmvNpyEjDkC9Rk+19o0wEr6feiy+Yxv1W2lHNN/wH/WNV05ZcEC10Oh6+oTuOlR6Ib39eSLDyGEEIUOQjgAyk2543rReGIxamkV5GrraD/fTe/aB3vTqWavXqGkOuCI72sTdjoSs+TTO0x2UGGxt+ilkfK5Esv53ej62prxM83mTdlqodQ0GjSd74oVCSPlzNpyWkvVIbXEHmVAIkehvRNzFxpuyDD4xoq5Wu8ICEcc9leH1twKTiBldo0lUrKaZHJFmWx9q/SUmW79ByfTlVO2ptAt97oQTIdCN7wvaVArwAwAIYQQhQ5C2H9qm8ntspLOQjhi2uvkimWT3baqo2nzuIGHBLr9gRfVrsuUk4nGE8bys2OFTn1pB6LQyXY0b7HPzuIygLIFk0bn5XOFcl1UoAXFSdtV3WoY8lzNeTw6sgvV8w1bzfV54YdaSVvOqXHAwCYCjlCSIyDf4A+3ZB2JJVJC7TmQyRVl1pU5yvafdU1jGl3Pb5+K9LGhtp/DwhVCCCEKHYRwYFTlyEraWvEq8YUWRQYer1q5M8C726B61Ih0azay5aWh1706mZz2D+ow30oVTN23gQRC2jTN69tQtbJ0NFcsy4Gks7naemHZrPxeIkZT3OqawxzekI5SoZBLxcTDVsoXkC84O3JCo1ZySi0F4TRqc1SzQp2U3GxeVkyZgmRWz+SKqxX3dlrmXpmpKlOi2vTTa7W29+LGVOjQ6yGEEKLQQQiHoraUqiuaYhaJWdouraIiWrGy5sQ6YBFEb21rTSRUpBvena5pGJS0TcpDZzkOQegyqPwsbaYmo9tnapsOnevlk6asqqSnRijDqGXLegaHHfCMLCzxCiUZN81VqbloV7xCWcLjRMohhQGOJm9uWjKG4GgoE63f3jRqMpaLZVkoZZqSVSZhp2U2Lk1JYq/6lfc2n+sivmFnYMR6CCGEKHQQwmHdaMp9djZfkngjErNMxWu+VKfTDeNGPPCDZLbgaAAAIABJREFUW6179c1eh3S7n8kVrZTp8F2birWuQjfA/VFDUtfLZ7xC//f0EgGqk6DWeGr2nPYvH2r23OgVOhkxObS6Fn5yaiQqlhNqX+juCuHAY2+CcNji4ZZZNGXWlUXTSjr6qMksNL5Ip/P85F85uv725uhaXet4MLGHOdQdI3sOQgghCh2EcKh36ssqY8WsZFQCjoynqW2BfDYkrzptTqdP8rWudhg6XTZfNHmCVtK0gutsrwabPKgyqJvN11Wn9hwceoVS0na13FUOTaieCSOIGUam0JWrK2pKW3ft5YuVaDxpwuAL3V0hHIgwRzUr7HDR9ArlRMqRlSWesGU6kik44xVMtwHbdb1RPC/pf46V9ahnj4sgvXSj5bgxP0AIIUShgxCOgvliJZXOzC2EIzHLyXiaSWfKUdcqXod3Ly7RzgVq4Fr95qCOy05nF6Nx1yt0qNBpTt9gb8ElnJNR9Z1Y+62B0rJZCQvloLoywRhUcDJskU5PgYqPdR8kxxpajNaVvkLYv+484TlBcAKZK5atlHNkPhRPpLJ547JtvCMcV3sOaGvXSc4y03YTva3stQXgk/mNHlIHOiYKCCGEKHQQwpE8Ufdzx1wvr9KPloVeYO/gV7wO8a7Xf55fk7U3mM9SPWs+tOhm853JhUaUHIhNRC1lbCV469ywov0RyWkKRWJzC2HjElusjCxaGI1Cp+3YTSP2C0VVEwB7BYmHJfqlCR3s/2Kuy55jTGC3i2auYPoMhCP+wxK/2ag2Bo1ZKctfQyfZb1qWOX9Z793RdVDL9DDWqanOIocQQohCByGEa23p/CyAWCIl/2p+ltbC5IoV9WCtDO3pdPBZWvfqJ+71GwDIFtxs/vDcQjqb6+j1w1HodLO+qWupH3VJTXiTthu1khITyg+jVOiCwGyonyiXWcJOmySUCw9Nrgcn44UjMYmE+bbCnkP34KJCm4MDSfg1eXNWUhZNWWtMynmp6rie6X/q1+MP28Cnr1XJ72jRc6Frqbo8aQ9Lhi3PodBBCCFEoYMQjpqF8pKEFtF4ImYlM17BKGW+dmYSBHzruoELWHX3wSoI5gplbQnXTwwgW5MY6dCR+U68BcwteHWl4ActwxhVCdtkZ3pLo9PwwPNTNqyk42Q818tbSdMCaZRpGrobQ92+hLiReML1GwfW/kmPPWalOjT9gLAx/RNjVjikuX0+tGh60sk85a+VMj9HYpaKdOXqJOaaaYJ8zyts4Og6OYc21Bw3BH0IIYQodBDCcSbTpbO5mJVaCEcSKSebL2pwu+rxOjT7iNr77NX+dH1bykrEdGQ+lHIynShZpvCnVB2G5qUOgG42L//2cJevhh5J2xV6hZJWBMuPfnu78igLXYcakslxSYgrF17jKBkT25RDEzqINgcnTeoyPSKy+VgiFfPdltT7SP6TdFwr5Whr18lc6H2Rbrmfb9aEfKeGraAxgUAIIUShgxCOOS/A9fJaTWlytbyCqnJahaoVr+WllaHqdBU/8tHPCp72d3uL7BVK86HFlJNZN0YKZMHhKHTGeUOG0TVmud2lVBjdKmdMaW0/C08zMkyBVbGSzuY0IBxNtdGwQ7JcoSxHJGGtHFrdn7T4Wg6/NMGtneBECXPYs8KRiXT6WEvWylVL9GJFJupsviSTdsJO628m7TrUBb0f9XByHF2HOraT7F0LIYQQhQ5CuIGiDgkqEikntBiL+hWvpeqyf6tqEs3k/4Zhe9rkzri6EiTTqXzW1b14rlAOR+KdtGzTKGuo6YGZXFGiONmlDgtpNTBQeU7CPBnzukPI5opqqjCyHI2hphLIgciRNh6OfGg8YUfjiaGeHTiT2hxjAkc2N8rcZVy2raTjerpcmkZ1thtPpDT/tzJhZaHa8rXnLWj32LEf0VC/7JOWLQghhBCFDkK4cWPdoH4nGk9oVx0tAg3sIwpDrng9f3+8ZvaqnhWdp+/lixXZ+YTxPS2NXaGTPZcQrnNTV9kfGXwJ8CS6y/lJGY2pjrIxOTr13h2ZQjekjctZslKOKr91SnE8YQtJoINtQmhaucNxr5gr+lgraiV1udTOqq6XN1nA1sRlAWtSfM/y1uR0oxt2Ah2zCoQQQhQ6COGkRB0aYGj9jla8qodDSbPb/CpUzRcY9l1yrdmrL6WtHxvIK2WfrZTjZvPrKHT+EfXpTbGevLWSK5Z9ua287qcY9W21uLWlCaz8MudbKMhJ0WhwSrMV9DKTA0nabp29oJEpvbw2oSNMgu0z5rhC4NivSeO4bfQ4k0mnz070QVfCN3hNZ3Mj60vQyUMgXUl7VuiMLD7WNLph33ig0EEIIUShgxBOIiXqsJL23EI4lkip1WaQZFfr5zDsG1ntFicfH3hWtE9JkN0z/qcpZ107V4lSdGtDPQTZHzudlfFrv9taMKWKVfv6XBkN2ZqT8STwG00gMYyPkMHP+BW7chR12zcaqx/ZylXH1xDWfU3o4A4nkJr2q+nbQQtXmahjVipqJWWWG80DlfW/QWtP2np2dNUVeewK3bBLXLmkIYQQotBBCCcuGJaow8nkJOpYjMZNVx1fOdLUNrnFzxXLWn86mjvy82avflFkK2VNfu9kPCtpGzvXtvfZqtD1nE3Qcc7CsusV1NS1TV6DhHCaPddJ7FT2X2+nTapdb8Z83V4JAx8iFVL9bMH6cl25rsKRWHC98U3c4BlzlLLCqVguNSnYGLwmUjKtySwtlClaJuqoLEgyZRvXn/Hvpyw3poVCryKU9qAY1/dx2JmzZOZCCCFEoYMQTnSEXCgv+YKX6bMj4Uc2X1qzFjX2EWsVrysjeOYcNKfTotfVuteGUEEVsXjCTqSc9nu1Wu8zfO8LUzWczfspbytNtaqMV0jarsmz6FiTkmBPRb18H7FWV0HLYLeZK5RjVsoErQ0eEZlccT60KFcdTeg2uDZHNSucLsq0bPQ4P5PO7z664sthZcf1ko7rP1Mpj+CZVvtvlslJN6tGf4Wu4xDNkecghBCi0EEIobltlRgjnrAjMStmmewAleQ0a0DrT7WuZ2TeBUGlbZAEF3y0dmqT/RR2otCN5o48mys6mSbdiMpqDeEHbzKS3QzCirxBTsoIfF0HPkRy1JlcUS6nRjcPbUJ3ZD5EietGnnBwgYBTSm1roGulzG+6Msp0rZndVsoxPUnH2sdNPr1PW/bAL2IsGbXD3j5zDoQQQhQ6COEUBMwSaTiuF7WSoUhM5aS1O9qVmuLT5ZF5FwTFtkF/Ov1o3dVoPCkxUrltEpam440mzJCdzPi1rrVqmhnSjJdyMmr22u3QydvT2ZzQ2L4OvxvgAD9CzpfxgrDTMhyNuXUa37YpCoYzOcnU/kuQDKf3StaJPZZIyVqpNhHBMxWZ9NQ7Yoyt3PQRV8kvwp2QFaHzKWLY9znMPBBCCFHoIIRTw3yparumpY5QwgxNptPYQz1eVSkb2aN1zU2oLXqVsEdTb2JWKhyJtY+CNAFwNHfkJdOQqBz0VhMalSqbT9qu6+V72w3TKLBUlWBPBb4pSi7I5IqO6wWx6wV/8gpWyjGZJoUy37iNIGdQzQpncq2UaTkSs7QDnc7Psgpk86YtnUmalnm/WCmPo5BfH2KpIXufCt3Ivq0j+CwMIiCEEKLQQQinj5oIYDLpFqOJlKNddYKMtqDydMT37moioc4V+ukxy+QvtNGtNNOhh8y1nimfJYGZ1j2pnYUfp3VX3NpI4+u6pnYNtUHPABU6OXZNoGtsyZRyMtF4sql4B2cyOZdqVjiT1Paji9F4OBKrfYjiFUoyy0VilqMi3TiS0Up+oWs/7RFG2Y1uBNo9Fq4QQghR6CCEUyvSrfnTSewRtZISZmiqmt7gjiWZLsin07S4XKHsa4ixXLFcaavQBbWxo0mjM4WuXl4dHoTyc//dfOQQsrlizEqZWtdhptENJBjToE6OPWGnK802aCVNu0PfI5hgaWaT5oLYHmEOzvClbmyLsnmZnOcWwppAXT1vku6pnZExXxq5d4R6QPWTeb36RR5JQ73ZEAEhhBCi0EEI4RDFppwfY1hJW8IPtajTztNqtxrYvI6yJbZ+ujan0xw6zVBrDEKCpL9RuoVqYJaw09F4QsZNdm0gNbamYLZYUStYo0gObbQHpNCZal+5YGzXq9uaaqYStcYSqfHaHcJhB8DEw3BDZdLJnK9m6FrZqilsmkqsrq+jTxlWha4fvwijsw9/fa/tUIk8ByGEEIUOQgjbUUKLeMJeCEc0FyBIptOK11yxrCLdiLUAiRwk7AktxqyknckVtTld3f239uIZqULnS4eRmHVkPpS03VyDSUIfgulyNl+0Xc/18kMKmQaVQydjrvJcMxfXZXWnlXNHAh1JcxDOSNb50ooshVEruRiNJx1XK1v1QZemP1sprYIdqcGrppz36eha9nPAh9pdYWT1rUxNEEIIUegghDMSeyRtNxyJh9a67QT37iaZzuh0lVEWk+qnG0eLeFJT1XL+PtTWk6oF7SgVOvnoXKGcsNMx32cjGKgBymeyScdXvoZxUEEM0+d5zJeqcvRy+I3d92RAJFCVYFXOGcHSbGhztJmDUB9ZeYVS0nFDi1HL79+69nuzRNrprPxSZr9RZtIF2e79FLqO4Ns9AoWOCQpCCCEKHYRwlkQ6oz0lbVcLeSTY0FrL8/YRQcXrCHME1BI0njA5dOoIUWf2WvLjkxFUU+o4SEim1hCO68kPganrAD/ImMN6edmyjP8wRLr+FTodh1jCtMxrDAtlQOT68TXVEvHStCfNYc8KYZ0i5hVKCTstq5JaBqmVqllAi2Z1kAVL/pWfR9MaIjB36idhWcXHIaU8j2b2YIKCEEKIQgchnEEWK8sZrxCJWdF4wth0lqpBcatJEyhVteJVy2BHsD+eioZWUuWe8pKpMA0S+rRX3QgUOv1o+VzNDtN+Q/K/VtI2DcIHqqP5+lfJSjpD8nXtP9dA9koCUwlQ5WJo3LicstBi1E5ncXGdGW2OMYGwThRba0WqTuhHg7nRcT35pfxVH7GM4Osjy3HONJBd7rPQdUip6CPIbmOmghBCiEIHIZzZ4NxIUaVqyslI+BGJWSaXbq24VZu+5YuVvC+QjaDLmJYOhSMx1ysE0ZHW9fhFr+VMruiXvi4POSQzxggJv4Ip6Ign+yCDk/EKg02j03QGrXWVfydQocvmS7ZJIcw1lrjKlt1sfm4h7Hp54qWpU+WC/ErOHYTtvy86/y9G4/GESRiuFe9k3lb9TqZBedkI0vpkKu5TDRxSoetoik+ZsiCEEKLQQQhnnKZgx/WiVjJmpXw/hLIWt66KdH7Fq1abDvXO2KQkZLyFcCSzptBVayxc/YLQQjZf9LvwDKVIRyXLTK5op7PGrc8vtg1CGgm/VKQb7CDI1uTAZcum0ZtvGjjwkKmfsZId0/KuxtRFORG264WjcRkovkRkzEE4w18cmaVtN2sy5vzE6mBpkN8bkS5lMum0WedQn2bJxldzyftYKYbUa3JkHhFMXBBCCFHoIIQzzlJ1JZ3NRWJWaDEqkYZXOF/OacSpUtUk061JY0O6P5aNu9n8kfmQ7EmzPVzO5Ip+Gt1q7e3AAyH1V5XDX/OTXalLXnC9vON6w6hm8n1ds3LgMsiD3XjP50sDIRUrmyZRyhBph6bGAlg4mcSeFcJ+5CEn48USqWg8kZE1shrkmxvzJVk1YlbKdocr0unzKn8FXOl3Khj0Qjaa7DmmLwghhCh0EMINEXv4+lTJSjkL4YhEGkHpYm0ynapjlaE1mc7kioeOzEuQ0zSiyBcrGpnU9qcb1M26qVfKFeXAtbi10SJD266ls7lhWK/K4GtprR/4DbjVXW9DJPFbrlC201lh04DTNEpP2o7bxOMVTmDGHAMCYf+PkcwykUipw1Ig0plVqVQ1+p2/gqjx65C+1EEaXd9K3/IAn7eNxiACC1cIIYQodBDCDZVJt+wVSknbjSfsVfuCtXQA7ZgWeLwOqSt2Nl86Mh9qKgmZsGSt/46ESReavfbV91rbDLnZvBy4Fre22popaPJrYIehSWnfcQnuzNYnIKrR1kuyS9kWRawyVpF4wvPblvPdmWRtDoUOwgHmm2tZq6ySavCtq5UKZ+r6LWuEPsgZ0vdOF75+Nq5+EYMSvLBwhRBCiEIHIYTDS6YzFa+xRGoxahk1aq05WvD0XiteNfwY7B2zVyjNhxYlwmlMEDAdsmtsIsxHB14Wfpu8ck/7s+rVkCtaSTueSMkOtNGbSv4+qHPfwEMFTRJ0MjnbFNIOLDew535DMqpypKrSNqYTCmOWqfYajYMh7FaTHVIzeAiheZhklgxHnaxVpAtSzt1s3ko58lftZDqM76A+oOrnC147Swxq2hnNUweuPQghhCh0EMINGOGv+pkuRuORmBWUXq7d1q/UdqYb4E1zrlAOLcY0MaF2s6u2syYQWmmIMVYCOws/aOluf+S9cnRRK6mlSe3bb2u2ne1mJfQaeMM4PRyTo+f7ug7KFrC3HDq/pLckpz5rCn6PNqqlcqY00XIEJr+ww/A4+Jc4FsLhfuOWjgZLpMyEtb3n/NVTU9FTdjqrUtrA8/hkgejTY71/H6HqCHvD8bwBQgghCh2EcENTwoxsvpR03Gg8YXruuEalq9XLJPDIrSXTDSoCyRcr8nFqHtpEoStVG1vgBWavtXWvqtO1v6FXuS2dzSXstH5iJ9Wa5aoMS1He5Q7a1FWpzoAqFw6k35+OQ7fhjQqXMZNU2CRbUP6qTehkP4maxivMUc0K4ViozUOtlCPrYzxxgbmQmg7Z6az8NbBHH6xcpf1Y+1TotEFEn5PGCOYcJjcIIYQodBBCuCoYpTO5hXAkErPq0gHUPkJiDy0yHcgNtGzfStqmGdyF+pe2tdZS1vZBi4qGqhu2aU4X9J4z5UgpJ6jk7TCqMQ3aMl55CAWessGgvLQukbDPnIuuNiWnVRsqyXg2EVJL1Xgi1Xia4Ii1ObxZIRwvvYKxV5qbD8mUqCJd8GWUCVym0HAkvpqgPbhMOl2Gcmst8PpR+vpMoxtZ+zlmOQghhCh0EEK4qmSZTIGkHY7EovFkZq3scTUza60zXc5vEtfnPbRsKmm7EvDY7gVmEUGWXPtYQm/iZTdMfl9hVTpsmj4mL3C9fMxK2fKfmi5CHY5JNl9KZ3Ptm9b1mZphp7NGBBxQGl23eY7qm9HKNEMugaAYme8IwhyEGzjZ/KisNarEmY4Qvg948Cez0GTzfkMAe7A+3Y1tH3qbT3Rt7dHveyTNLoMccKY7CCGEKHQQQni+P1rSdqNWMpFy/ISApUCnW3Vs8DPXWilinad6afmkfFadQtd5252gOZ0Wva7VvR6tjZrS2Zw67pn6o+6jJjlSGQMdh2EMuIyD6+Vl9ySm6788SjfY4UnR0y0fnbDTTauo5AVyMcyHFn0BcYUvyMiEueAMklEC4WSJdMWK6QhhJYWusY5Yrl25dLnRpONBLRll31q9zxrVVcW/p42MbBbq2Y4cQgghRKGDEM4yjUlCOhuJWUInYyw+A/lGNSA/k65sZJ1eMwVK1eVMrqgZBxcodD01xi77nXpyhbKET6YOd+moRjUSL1kpR0Kmnvv4aC/wIZm6ruapFcqyn2oU2H+foM4jHFUwk7ZbJ5LWqqiyY/OhRQlE+VKMRpurXugFASGcNMq0KdO1TIyyfrlevtazSCbSbL6U8Dsq1P2pH1lQ18RK31YPsj/droMjm45666MKIYQQotBBCDeEWFCqrmS8gkQgGoeYLmU1eT1qH6Eer9qZroeoQ94uW45ZqQtz6LQrdneBRFAPWPKFuVyxbBLfXE+272Q8dd/r7b5fi39lUzICsmPDCB7KxivQdDgaiK9r51VCeorl0CSSbPp62SvZqWg8ITEnX4phZ44QmkI4LZl02tvUZNLFEzJxB/O2fpdXDXZSTtJxc323pdN+DrLN/itnu51nRtkYjvpWCCGEKHQQQrhOJp2KdBKHaG+dxjgkKC/ttnxG3x6zUpGYVafQBQ6tvd3lq0eqhEay56baqKZbUM/pftl8SeKx4QlVWh5lu55fTdtvONdhnGMS6BxXIkmvUGr6erXXkNfQhG54OSM0R4dwGkW6oFGDrI/G7WfNAH11dl3L4LbTWd8dvfdkOl1tdZ0dyJOAbp9+jWZqYg6EEEKIQgchhOvfNEtUkHIykZgVs5J+wetK7UP4UnVZc9Y08a2rh/OyHYltwpF4rYKmyl25utKbUKUGqY4rgZOjqmKuUA78Z/tJo1s1dR1OopPJKPR3u5+C3NqB7WQnZWRiiVRtK6U6Smxp0icHkdkHx5ufAiEcxrydyRVlcZSFTGbvOhlOM+nMgyLfKru3ZPPahbj/xnY9WAmNeD7kooIQQohCByGE6ycLSIARjSclFJFIpM7TYDWZrlTNFcpdqUtyOy7RSzgSr+06V6pqlWuPQli+WJGgSCIiN5vX7tq+gFjRn3uOTNQzwRTMFiuV4YQ32sBIPiKdzfUZiXWSJSFnUD4ulkjJv62G2kracsbzNV0IYZ/xJ6WsEM7Sl1qNVmXFMd5Kdro2k06rU2XhkN8vRuPab6GfPOsectVbrQ6dbGRkMxUWrhBCCFHoIISwO5pIwytYEofEE7FESot6gh7S5TWPVzVq6LyqVDYooUuty6oqdD03tpMoKOVkXC8f9J6TLes2z5u99hTkyMZlBGTLwzB1DWIwNdLN5vvyde0kAJPDkZPYqoJV0wZNl8BESk49gdOgcuWIQiGcvS+4zNjaslNNwy9cOs3zLVnp5G+265m2dD21k9NWdN16KLWSw9bdyCgnKx5dQAghRKGDEMJeKLGHhBlz8yHf49WrLdvRfIF8qZovVoKK13XvuZO2K1GNVgDVZgp0e7OuVaISHckG/VrUCzS4oI+PSabzd092tds4RwItr1A25UqF8vBiCXXRlUPoxzpWj7f9azJewUiZLUpc1UTCSppGfgROg0qdYyQhnNnFsVC2kuYJVtJx63Q0XZ7k9/ICmXVlzu1BZSv5Lud99kCoduxLM2J5DoUOQgghCh2EEPaSnCURQjqbi1rJxWjcSjkSltTd0wduqp087XdcLxpPBl54mrrVg0LnFUq2a7zzMrli057cgVAi2w90um79KFQEzOZLw+vLJqMpQ2dEuoauRoNNSZDtm5qsFrGiMZGwXXmBnGsCJzLmIISdLI4ydRuDVyvp1Vi46jygFkbxhJ10XFmnephYZEXo3xl2Ncm67QIxyqQ2nl5ACCFEoYMQwr7up9XjNWGnJQ4xwcaFRnXat84k05WqqoK1iSjUC8+kFfgNegJ/2M7v11XSku1IaFSbi9cm8ChVl2uLXjWfrpNP1MwyYSvz0wElFKy42bzjej1Lge3jKx1kzTdsVcGaL1aice1vXiZ26k2YI+yEcAOmmcvUHfN70sk0XvsQKBDpZF41Bq/ZfFcr3WqWunmm0m8rOm3+0F6hG2UTOuZJCCGEKHQQQtjvXXW+VE2kHLWxk6ijtvpGn/bLb/K+RUObilftbSfbUSVIc+hKHbfp0d5zEvAkbSMUdh3t+DW5gYnEuqGCZkm4Xr5OlBw4ZZckfuu5Hqq9KYE2L5eNOxmv6Qu0rdJCOKJ5fFztHUqi1GpBCDWTznc/Nz48dSuF/Ozq8614Uu2MOp80yv6jr/7NWANH11bz/4jlOeZMCCGEKHQQQjiAe+tiZdnJeLFEaiEcsVJObWZZkK2mKlirilevUDat6KykRDLmXX56V+eqkLxdYiHTnbsnawUjqfjNfUzRa6mqO7luZkHGK6gr3/AcTo0AWqzIyGgI120A016h0wBSDqGVi6sm8c0thClxXXec67LnGBMImRZkCdOVMbQYNdYRF6ZCa953ysloxWvnj2H0EZGaHfWvizVdIEZZ30qDTgghhCh0EEI4+HwBiUAkFIlaSa2KrI1GNFVNbV6bPvw37quutxiNZ0wUs/riThS6ropb1wkSasxe86rTtc2Pk891syaNbnjd6PxMtxWJ7GRwZHh7EB/bBGCmgtVKymZbmdLKqZBRDS3GemiWtEEi8CCqRJuDEDZdGWV5isYTMtn6j5CqF3pHrOjaZ6WcpONqql2Hqd9dPcRa5wFVgzI44gQ6ko4hhBCi0EEI4aDvs5eO5orGxi4ciccTdlb+58JGOap/eYWSJtPVxgCahbcQjkiMoqkHvoq3sq56lSuUJbBReW4gt/janS3vm0j4yXQti4Dkr5q7V+g+u63bRAzTLU6TLLoMyVrZucovJRpcjMazrcdNhtS3HbTlc7m8m+aekPoBIWxPmWFlXQtHYkLbqHD164VJZ/YfUK2mga/XOSEwJR/IwyFdbesqcLFwhRBCiEIHIYRTL1uYfnClqvF4jSdiVjJpu7U9sNd0jQs6060FCcvyriPzIT9TbLXEtb0aZepM/TZq8ileoVQeXKO0tcrc8/vZtOOP9uAzne9839ihDqwcoJPxHNdTJ43+0xNMhzsvbyXtXLHc6r0STErIKJ/bKslugwtzDAiEsLNJ2JgLxazU3EJYloy6Zx4qt8k6YqUcP9Mut670pnYTtV1f+3wIVDenjWx+4yEHhBBCFDoIIRxuNKIVr4mUE0ukEn64USdgqUiX88Uvbfpm3FFzxSPzISfjnW+y0yL20Igimy+ZNmqu5xXKAxfI1oSYlVqz18Z8OvmlHJ6EXrnCcK1O9Xh7UANbKXQZv3K2vfom4WLUSuaK5R6qa2dPmMOeFULYzxwu063MqGp9XpcQrYWrOi3LoinLiryg/SQjq0//rejOL3ZraXQjntyYSyGEEKLQQQjhKJjNl6ykMx9alH+1WduF/XdMolzBt4/QRAB5/eG5BTudLa1nVCeRjFcoWylHXtzK5WCw6Q/ama62OZ1+qHrIqkg3PL+IIB5zMrk2xg6dJynIz7LPEiW2Ut80ZotZqUjM2sjyXG2buVHmlUAIZ48yl8qUG4knFqPxVLqJQ7e2B01ZfP8FAAAgAElEQVTY6UTKkam+vWdR0Iquf0dXdXMafUtNnnZACCFEoYMQwpFFI0cLpaqdzkZiVjgS990jKk3FL9OZrlRNZ3JzC2F5WSs3iSCWcLN57T3nC0xHRxBFBPl0um9GUlzT6XR/NBltqDujqYVy1ELt4tdbkoIma8g4SxxY1yjw/Gf5/hvxhG0l7RGM8AQKc1rKSjUrhHCwE4tMrbJ+hRaj2nWucZ7X1Gz5q0y/sq60ekaiuecDMRNXo6QRJwhj4QohhBCFDkIIRy3SSfzgZHLxhB21kiknY9pg16geGhiox6vEJHMLYSvlSEySL1ZKDd2y5X/llRmvoMWtEueUqssjO5agOZ1J/Vure5UdkF/KDps0uj6cZDvfAT38rgxk6wpdZcC9QknOhYxhq9BINm67XsLPUtxQ4ROlrBDC4S6L/gycdFxZFhN2uqkGt9on1Dd4lR+aPpLRbg892Ae1Wqzb2CINVaHjkoAQQohCByGEI1Q9fA0rljAlk2pN0Ki+yW/cbH4+tBiToCTjSQDT2G3NyHO5omzBTmflBWOUHVVSzPn1uWr86vrCWX6Ypq5K+UQZKInrZBg7/Ky6QEhtc23Xa+N+Kwci0aMEh4NyyJ0iTZm0DgjhsMUpWcBkgo1ZSStpHko1qmzat07mYaHM+bWeSzXzlXEzDwpU+3wyIdsZ2UMvLHcghBCi0EEI4diiEVW1HNeLWsnQYkx+aIw3TIOemKUqXl2OmMYzTsazTHeeXGP7nrFkWq36XfgZf2rDJ/8Ou2ubpiXa6WwnrcTrhKda9c28vbUtrBxHKBLTiuOZz5gjSoQQjkWkc728v+Q5bjbfZN30DYJkHpbXOH4qXePELmvQQFrR6YpWro6o6ygPQiCEEKLQQQjhmOlXvHqBmV2dTYFEGmoeuqofFSsV/yZegxB5owQqth+lTIh3QSDSCSWOkr22XZPcN+yoQz7U+Nj6TqwdqkvBy7QmVwbZ9M2rtmxvlMkV50OLZvvVGbSJwJgVQjgJE5EubVbSsZImUa6xd4HaIskfZcX0jctLtcufPvrSfgsDUOh8pW80T7+YdSGEEKLQQQjh+CnRRcYrxEwmXTSRcvy2dCbeKFZWsrli1EouhCPzocVIPJF0MplcYa2GNB+zUka3K5Qn8La+snRUdkzCp4SdlnCrVGP2OrycRPkgCdtambG2CodkPCUOlMGUN7Z6sZbByomQMzWjF+FRqlkhhBOi08l8q8bZGb99Q2MDVvUIspL26pOttQcnwVOiflqgBk8pRmaPw3MRCCGEKHQQQjgx+ojvEyrxRjgSj/gtduROPZXOvn54/qlnX3jw0cfvf/DRhx+XH1/ef2gukUrHEyltTjcQ07ohxRsSVkmYJHupqRC5ISf6ySfmi5V0Nief1lj61ErUkx+8Qtl2PW2Z1+rF6iMRS6T8NLvZTJrjawghnBCWqqbFqky5UVk/0tnGvnK6xJhM7ZSTsNOyxATzmOaY96nQ1WXSDXWGDBYjCCGEEIUOQggnJYmp4Fe8xhP2YjR+JLT47Asv3/vQY7v33H3Tbb/adevtN+3ec8ed99z74KPPPPeb1w8diftq0YQUt7Y5qIxXMB6pvtOFRk2yz0OKdkyP8KKpfurEQzZQptLZnDrqllqXr7peXuLAGWhC17SaFXkOQjh5Ip3JIpeJV9ZEM/c267VqvCNyRTudlWlfG4lqvpt2WuhtZtN3nXf6Xjo6GoWOeRhCCCEKHYQQThzdbP7QfOjBRx6/6bZfbdq+84atOzdt27F5245NW+XnHVtu3LXrltue/c1LErRIxNK/Y92waRrS5Yp+t6CyhE+yz/JvUPQ68J03Jate3sl4vkPFOjGPecHSUYnuEnZa3tjmxRL+xayUbLM0zU3oar0CiQYhhJM/ZWWNWbkTWowGLR0a5y5tSxdVh1dfyNNWdJXuZa/GhSnoRjekORMLVwghhCh0EEI40ZLW4YXFm269Y+uNuzZt3bFp287N23Zs2b5z8/Zdm7ftMv/eeNNDj/360FwoWyhJNCKvn+Sb+5JfwKumrr6/nil9zZequWLFb+Y9YMFLhkItbjXfrX3pkOyMlq9K7NfmlTK2EvpFYlZ7FW/C8+bQ5iCE05ddXpVZupyw04vRuJV0mmbSGTvvYsV2vVgiZSVtmdVl8leRrofq0SYK3TAVtGB+5lxDCCFEoYMQwomjRCP7D81t23XLJl+Y27JN6Ct023ZuWuNd9z306msHNQgxiWl+VtrENqQzNguul/EKWnZU8UU0rUISlgadnmDSLnxfVz/lYql9wp3tZlNORnsYtZL8ZHjjCTtmpabLxbU2GYRqVgjhlLJUXdbHPFEr2SqXWSdqWWgsbUvn5eUt3fZpbTVPas+7oSp0TM4QQghR6CCEcBLpZHIv7zuwdeetN5jsuZ1btu/cKrxxpy/S+eWu23bevuee5154RYW5QnlJQ5HSMCtx+strM/28M15B/j3f3Gd1zyt5P5lOXjPAnZcNShQncZrX1ujWl95SWhjV6mUyqvJ34xhou9OS5kCbOQjhzD27Klkp58h8SGZjbWLQNAPd9fJRK6ke4n530eWuZs5Wy5Cm0SHPQQghRKGDEMKNxVTae/HV/arQbdq+c8uNu7beeNO2G3dtv3HHtu1GpxPecvueJ556NmkqR8ul6opQW7yZitfJy/PSsCedzfnFpCu1WV3aMKimP91gyki1U7gMj3yoxHVNtym/lNELR2LymjZRnGxHgj2hvGzC46igGouWRhDCGeNqKWs6G4rEIjHLF+lWmia7Gb8gx3QO1arYDifD9mLZMOZV5DkIIYQodBBCOPk5dPlX9x9Uhc4X6Xb5mXS7tt24a+u2HYbbd952x52PP/n0fDiyGI1LrBKJJ/xoxBjepbM5le0mKuFLghDjuOeautPasGpNVDpf9Oo3pxuATqfhnJMxta5NuxHJL+UvMSvZKh1DKTssg5y0XXnVZIZS2LNCCDeKSFeqJh1Xljyh6+WbenbLy7xCyU5no1ZSfbrXFdeC7Ln2Ct3ARTqepkAIIUShgxDCiaZXrBw4vLDjlt2btu1SkU65VvG6Y+uNO+/Yc/cTTz79+qEjrx88tP+A4aEj83ML4dBiNByJxRO2FvhoVp1qXmOPBCSyyngFiama9obT3IcgmU41tT532MiCXkHitKZ9i3LFcjqbS6UzTVuPB1uQYZwPLTquN5kurkFCYvAvhBDOMGUFkVl9IRwx3q1ePsjLrl9xipWE37ouYac78T1f95mWUegG2o1uqO3tIIQQQhQ6CCEczEP1aDy1996Htt90W61C54t0uzb7da933n3vc8+/sBiNqxIn/0oQIqFIaDF66Mj8a68ffOXV38q/8nPIF+xUpWqabjDC41o1dW2TjOYnMvhmr35/OrWp7VMWlBDOb0hXX+ua8QrqEaH+FU3fLkGdvH0+tNjGSmIsGXMYs0IINya1iYFM4NF4QmiaPbTIpJP5Xyb5mJWSxVFe3+YpSyduqr5R+MCedWHhCiGEEIUOQging65X2Lf/4H0PPbbjlttrM+k2b9u185Y77r3/4d+8+PLBw3NzC2EJPOx0VkIPocQpKtVJQBKOxBfCkfnQovy7YBLr4ovRuJbEajGsvFJe72cWjCg1TMMq1QrbWKyaoKW6IhHXBWavvSYayBvlGOV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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 1,
     "metadata": {
      "image/png": {
       "height": 400,
       "width": 600
      }
     },
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from IPython.display import Image\n",
    "Image(filename = './attached files/1.png', width=600, height=400)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7db38cbf",
   "metadata": {},
   "source": [
    "## igraph编程实践基础教程第01课：安装及初步使用"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "22468836",
   "metadata": {},
   "source": [
    "### python-igraph的安装:\n",
    "#### 方式一：使用pip安装\n",
    "pip install igraph\n",
    "\n",
    "#### 方式二：使用conda安装\n",
    "conda install -c conda-forge python-igraph"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "302cd937",
   "metadata": {},
   "outputs": [],
   "source": [
    "# !/usr/bin/python3\n",
    "# -*- coding: utf-8 -*-\n",
    "# Author ： 单哥的科研日常（公众号、B站）\n",
    "# 示例程序所用库的版本：igraph==0.10.4"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6ce945c5",
   "metadata": {},
   "source": [
    "### 我们在使用python第三方库的时候经常会遇到一个问题：\n",
    "#### 为什么我照着别人敲的代码却总是报错呢？\n",
    "#### 假如你已经正确安装了python和所使用的第三方库（如igraph），\n",
    "#### 那最有可能的原因便是：所使用的库之间的版本不兼容，\n",
    "#### 或者你使用的库的版本太旧（未包含一些新功能），\n",
    "#### 也或者是使用的库的版本太新（删除了一些功能）。\n",
    "#### 所以当你拿到这份教程时，也出现了类似的问题，可以尝试安装上述指定版本的库，或许问题就会迎刃而解。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "d54a9238",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 3,
     "metadata": {
      "image/png": {
       "height": 400,
       "width": 600
      }
     },
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 查看python第三方库的方法：\n",
    "# 方法一：打开windows终端，使用命令pip list查看，如下图，或pip+show+库名：pip show igraph。\n",
    "Image(filename = './attached files/2.png', width=600, height=400)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "c30c6e96",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.10.4\n"
     ]
    }
   ],
   "source": [
    "# 方法二：库名.__version __\n",
    "import igraph\n",
    "print(igraph.__version__)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "51cfcb85",
   "metadata": {},
   "source": [
    "### 初步使用方法"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "2356aaba",
   "metadata": {},
   "outputs": [],
   "source": [
    "import igraph as ig"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "e60ee1c7",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "IGRAPH U--- 4 4 --\n",
      "+ edges:\n",
      "0--1 0--2 1--3 2--3\n"
     ]
    },
    {
     "data": {
      "image/svg+xml": [
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       "<g id=\"surface2\">\n",
       "<rect x=\"0\" y=\"0\" width=\"300\" height=\"300\" style=\"fill:rgb(100%,100%,100%);fill-opacity:1;stroke:none;\"/>\n",
       "<path style=\"fill:none;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(26.666667%,26.666667%,26.666667%);stroke-opacity:1;stroke-miterlimit:10;\" d=\"M 280 166.269531 L 164.820313 280 \"/>\n",
       "<path style=\"fill:none;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(26.666667%,26.666667%,26.666667%);stroke-opacity:1;stroke-miterlimit:10;\" d=\"M 280 166.269531 L 20 133.800781 \"/>\n",
       "<path style=\"fill:none;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(26.666667%,26.666667%,26.666667%);stroke-opacity:1;stroke-miterlimit:10;\" d=\"M 164.820313 280 L 135.109375 20 \"/>\n",
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       "<path style=\"fill-rule:nonzero;fill:rgb(100%,0%,0%);fill-opacity:1;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;\" d=\"M 174.820313 280 C 174.820313 285.523438 170.34375 290 164.820313 290 C 159.296875 290 154.820313 285.523438 154.820313 280 C 154.820313 274.476563 159.296875 270 164.820313 270 C 170.34375 270 174.820313 274.476563 174.820313 280 \"/>\n",
       "<path style=\"fill-rule:nonzero;fill:rgb(100%,0%,0%);fill-opacity:1;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;\" d=\"M 30 133.800781 C 30 139.324219 25.523438 143.800781 20 143.800781 C 14.476563 143.800781 10 139.324219 10 133.800781 C 10 128.277344 14.476563 123.800781 20 123.800781 C 25.523438 123.800781 30 128.277344 30 133.800781 \"/>\n",
       "<path style=\"fill-rule:nonzero;fill:rgb(100%,0%,0%);fill-opacity:1;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;\" d=\"M 145.109375 20 C 145.109375 25.523438 140.632813 30 135.109375 30 C 129.585938 30 125.109375 25.523438 125.109375 20 C 125.109375 14.476563 129.585938 10 135.109375 10 C 140.632813 10 145.109375 14.476563 145.109375 20 \"/>\n",
       "</g>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "<igraph.drawing.cairo.plot.CairoPlot at 0x222ccdba490>"
      ]
     },
     "execution_count": 6,
     "metadata": {
      "image/svg+xml": {
       "isolated": true
      }
     },
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 以指定节点数量和连边列表的方式创建一个简单图\n",
    "g = ig.Graph(n=4, edges=[[0, 1], [0, 2], [1, 3], [2, 3]])\n",
    "print(g)\n",
    "ig.plot(g, bbox=(300, 300))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "8af6776e",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "IGRAPH U--- 3 3 --\n",
      "+ edges:\n",
      "0--1 0--2 1--2\n"
     ]
    },
    {
     "data": {
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"UTF-8\"?>\n",
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       "<g id=\"surface8\">\n",
       "<rect x=\"0\" y=\"0\" width=\"300\" height=\"300\" style=\"fill:rgb(100%,100%,100%);fill-opacity:1;stroke:none;\"/>\n",
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       "<path style=\"fill:none;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(26.666667%,26.666667%,26.666667%);stroke-opacity:1;stroke-miterlimit:10;\" d=\"M 280 280 L 163.535156 20 \"/>\n",
       "<path style=\"fill:none;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(26.666667%,26.666667%,26.666667%);stroke-opacity:1;stroke-miterlimit:10;\" d=\"M 20 262.554688 L 163.535156 20 \"/>\n",
       "<path style=\"fill-rule:nonzero;fill:rgb(100%,0%,0%);fill-opacity:1;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;\" d=\"M 290 280 C 290 285.523438 285.523438 290 280 290 C 274.476563 290 270 285.523438 270 280 C 270 274.476563 274.476563 270 280 270 C 285.523438 270 290 274.476563 290 280 \"/>\n",
       "<path style=\"fill-rule:nonzero;fill:rgb(100%,0%,0%);fill-opacity:1;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;\" d=\"M 30 262.554688 C 30 268.078125 25.523438 272.554688 20 272.554688 C 14.476563 272.554688 10 268.078125 10 262.554688 C 10 257.035156 14.476563 252.554688 20 252.554688 C 25.523438 252.554688 30 257.035156 30 262.554688 \"/>\n",
       "<path style=\"fill-rule:nonzero;fill:rgb(100%,0%,0%);fill-opacity:1;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(0%,0%,0%);stroke-opacity:1;stroke-miterlimit:10;\" d=\"M 173.535156 20 C 173.535156 25.523438 169.058594 30 163.535156 30 C 158.015625 30 153.535156 25.523438 153.535156 20 C 153.535156 14.476563 158.015625 10 163.535156 10 C 169.058594 10 173.535156 14.476563 173.535156 20 \"/>\n",
       "</g>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "<igraph.drawing.cairo.plot.CairoPlot at 0x222ccd5cc70>"
      ]
     },
     "execution_count": 7,
     "metadata": {
      "image/svg+xml": {
       "isolated": true
      }
     },
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 创建一个空图，并为其增加节点和连边\n",
    "g = ig.Graph()\n",
    "# 增加节点和连边\n",
    "g.add_vertices(3) # 增加三个节点0，1，2\n",
    "g.add_edges([(0,1), (0,2), (1,2)])\n",
    "print(g)\n",
    "ig.plot(g, bbox=(300, 300))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "c936ee18",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 使用字典指定边权值(或任何其他顶点/边属性)\n",
    "g = ig.Graph(\n",
    "    n=4, edges=[[0, 1], [2, 3]],\n",
    "    edge_attrs={'weight': [0.1, 0.2]},\n",
    "    vertex_attrs={'color': ['b', 'g', 'g', 'y']}\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "45891484",
   "metadata": {},
   "outputs": [
    {
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       "<path style=\"fill:none;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(26.666667%,26.666667%,26.666667%);stroke-opacity:1;stroke-miterlimit:10;\" d=\"M 153.957031 175.265625 L 112.117188 142.675781 \"/>\n",
       "<path style=\"fill:none;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(26.666667%,26.666667%,26.666667%);stroke-opacity:1;stroke-miterlimit:10;\" d=\"M 239.691406 201.546875 L 204.128906 231.523438 \"/>\n",
       "<path style=\"fill:none;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(26.666667%,26.666667%,26.666667%);stroke-opacity:1;stroke-miterlimit:10;\" d=\"M 239.691406 201.546875 L 201.183594 216.214844 \"/>\n",
       "<path style=\"fill:none;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(26.666667%,26.666667%,26.666667%);stroke-opacity:1;stroke-miterlimit:10;\" d=\"M 159.222656 241.8125 L 204.128906 231.523438 \"/>\n",
       "<path style=\"fill:none;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(26.666667%,26.666667%,26.666667%);stroke-opacity:1;stroke-miterlimit:10;\" d=\"M 159.222656 241.8125 L 201.183594 216.214844 \"/>\n",
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       "<path style=\"fill:none;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(26.666667%,26.666667%,26.666667%);stroke-opacity:1;stroke-miterlimit:10;\" d=\"M 204.128906 231.523438 L 218.210938 280 \"/>\n",
       "<path style=\"fill:none;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke:rgb(26.666667%,26.666667%,26.666667%);stroke-opacity:1;stroke-miterlimit:10;\" d=\"M 93.839844 131.648438 L 43.53125 117.613281 \"/>\n",
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       "</g>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "<igraph.drawing.cairo.plot.CairoPlot at 0x222e516aeb0>"
      ]
     },
     "execution_count": 9,
     "metadata": {
      "image/svg+xml": {
       "isolated": true
      }
     },
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 生成库中自带的经典网络（在第02课中会详细讲到）\n",
    "g = ig.Graph.Famous('Zachary')\n",
    "ig.plot(g, bbox=(300, 300))\n",
    "# # 以及其他经典图\n",
    "# g = ig.Graph.Full(n=3)\n",
    "# g = ig.Graph.Lattice(dim=[3, 3], circular=False)\n",
    "# g = ig.Graph.Ring(n=4, circular=False)\n",
    "# g = ig.Graph.GRG(100, 0.2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "1216bf4d",
   "metadata": {},
   "outputs": [],
   "source": []
  }
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