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R-numerical-model-evaluation.html
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<title>R 數值預估評估方法</title>
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jNPY4W82Os88wiJ34K4tdAIQjAOQkx8YArcM2PaAOjSZBL8uolzAJFFvGDXd8ej67P2AvKpUkOYghcnK7zl300RBcsExwzJ/hbrd7GuYBwhgAIYtbTx/3+d4klJ3gtKCQnGIz9InYZEzqG8EkjSzNavCB/cXYlcQshhyMsZrI6PYLWc3lOG/vlA4rHr/3uTFD3r38/r+3fMKOke9W4oJ9G566u7au84CpOz/ct5R99wF7W6dIYjjnawrHIAh3hlungFOWgXoyzVKbHOr1eD19Il6vISsrrU8kSzbY+0QMGpdjgYh60zDTHJKHoyP4404pw27zB4o1o62gq+BLL299am8j+zv774zj995/dgTOZsOfWr3rnTWPj2h8qGbo1/M//kYYvmxfms7TtPrM54E7ns4vwBw0rFy/aNJjRRVTet31OgCBPABhongUDOCAzuE0h6gnxChToCJ1ulB0iH0jeqvscFBZotflk+hMQ5oJDqhrC/l//FxmAUlGYeK5Z6Jl5MDec2yJQdc+l5ViNduL1avoZ805eGll04jy6COKheT8S+U6kQwdw+lW6nPpXF4qtEoBziwAye3mMnRLkqlPRLqZdQlsKxTcLghkqhzjrLL5M+WgUwldSkjbL1HPLrCf51d8MHbv66zu/mcGl5Kz0YNZ0+mcf759kbEB29qGGrZiYWop2b2R9fYqnKnlWOVzqXqgNfQIB5LtRr8fQLLT7CyT0ZLaL2K0WFzU5e0TcfmojkckcgvcyhJ4pNlr8Bd63VyEhIbiGhfIBFGTq8R9lqcWB2Dl1G79Rn/9i8n08OU3L/760UX2E369YuvqVUPrI9VryFR8CXc5V/rYefbW7svv/YNdxUHv/OnFVQ1V8yse2Dde0UcAIY/zU4L0sA1FEQg3jJT0jVAJFBlqbOOrALk1dCOmkuHNF+mpaKOYunHhldNAlZhEyFGpz4R20C+c47Vmu+6gqXo9lewuq5TfXrLnZORk9Ink5JjAlNwvYvJBoF8E5N8qd9nN3jrmj7mOx8OPLDXqolpgwv0zZkpuzaeTynf+vWjNvnr22b+bsfDJR7+e+cL6dQ1bXlu3CDvOWfHIMytnrhJPHt7x4L7eg/48+8C5U0euLuu/f8ozr1xteHTRssdGru8V3kwfeHTMsN937/zksLEzFdlO5NQpNsMLWdAtnJlizzQYAAQu26AljUvWZbEQlyuJi1Ymcr8Iaal2jjKNg5qJ9Ctqx02jMyDFKHJw8TpUIvjHKhXZQlZ0/Iwe1eO++6/RVHpg2mv/uPbBuguPMtfKLU+tuXfjkIFraEVzg2tlMuZg6O57/vXBP1C3kZ3H9od2PPV81RMVE/aNAy3HEcaokRS34Ta+LAA8XotzQMRiizkRDVfN87X0JXae6NzkVR6Znehb6J8XL+Y3IKovXMjn0oEDMrkmmc2iXu9yGm0DIkab6hgTZklwj/T6FDccpXsmn6Rjlxv+knyrTFMR8+U/cF9+DiRwh/UCiChwdeXD58cDhSwsRjeikNNcTo83/0AtP2DDKLywji1nhxSezMTjgo9eVHOy3LBbJgIQ0OsEsToiIFRHrIjI4wHOlfxEz6a4ZOTXTLq9eTjdTofW1bEH6up+g5GIBDhGEr2BkRNVlMZTa/P3HKVyrMMKrF3H/KPYUAWjlGsXaRnXrxTIhrJwqp/bMtnphFYWIdgGoLWtddqASGuPzdA7YhNaqFZLvVJSEa48LZwUd4YSN4mJ+aq/ctSSXgtmD6gf2emV91/9KNj38bHd9l3PX0tq19dMnzFw3OSsgsWjj+zqPXn0w4On3e9nZ+NJLYFZ1yqkQ2ITFEM5zzwyA+1KLJ1kVwpAjsvSTgx3S+rQQeiisxv5Ky+9kGbnqUmllmSFEhOP6/G4ug6C2nJQUPdSt0td36R1IFMgbsUalrqlQAbw4KK1v1BwIH/udKqm8NCQbeMHP2LUtVk3rv7Fb4712N3Tt/DeaWvZt3+8wA7swe6Y/5cvjv3I1rHJn+AyhLM44ODVn14/7bBUDpq/hpxb8c388XfdM+rU3veu+Tws17Pv7O79aFvzMnvxc3aaHRq8sAZX4jgUsP7CfvYntoNhGYquJiAAAKJNPAIyWLjk0ojFqENR0SwqyILNaiG9I0bRYhFECoKD518xh6iplZYz+5W8H0OIlBsz/tURB6IHmnaT7itJORvb6A94cnbjGZYvHrnSg0zENwfPGTGddQIKJwCEo9xyW8ALGdA7nO0UUg1Wn89iEGQLjwd01iRrUlXEarWAxVcVsTjAWxUBevt4QnM9/gxBMbluwe4SAjxpj/mcgN0ef3cCt2IAhVVLsR/7+TIjjZjU9PTeY1ew4I9/Ovhn8cCeI/Nf9BnK2Pk3/kZ7TF00+6HoquhndauXPAGAMIdb09Oqr8gOu6jFpbdQb5IDekccglHi/HK2DL+4emRymUNIE3+Ro3WokKfbtNP37Cs0/7rxjQ0X2Cvs2Rex/NNLuysbxBB7lX3FPmdvl64rwyU44QusOVSzuj8AUTgmDuEc04FdsYcWQQ8COJyiuSoiUsFSFREct4ppwc9rSBlA+ZuAPZTBx2Az2Uo2CY/hIHysic/1z59PI/dU5CtWz+aJB9gi9gKmYebVKZgHgMq89Bc+r1GJWSSDAQXQoWAyS/reEUlCQsTeEUKRr3B03DZmUZBwxy/6S/MZmh+dTYZHt5OF4oH1LKc+eilhJj0UhpMlAKQ6pAbjTRPxSW45Q0CbAac3asPzwaNfrY9LTuyi2ilOhUvnI8SSohNapUJK7wiAaDLZe0dMgujtHRGdt4+8/HaphRyV9+rq5lT1xe9nfPc0a2IrDuKQL//9bve3DrL/so/Qj0kbVrGXCYuWZWXjUhzzD7xn/+D6GvYau8Q+Ze8H8LUY7WK6yuVQ2KdHBJ0giCCaTTraO6LTiQaJoshJV81RgnG/Qbydi5f/DYnpjc2ssZGSRrI3Ws1z7dXkYQC8NoLNxfFqVpwaNht1OotVT4GzFDJj9GrpGI15+JJiPpxLMg0v6dVv9AONx9jclFWuR6fyFGvI0TNxvRC+UjHmnkjBViRGg4Ix0Yn6RGzLWkgJZRVRDKHw1TvRrzc2NpL1J6JN5M0l0dc5snnk4+jCBF0QIT1soQCCJCMFzgtw3EBXxTekkO0+0aio0pV/bIp9V+KIgpPrUZJOFCUev/JSmsuNBjuVjDK1gKQgp2DnLbuZlRjwuJUAn2MY4nce4COtZjadZSsCntbhh6zRomMm0bbpo+bh4oGrVQLPOume7Uev/BCXo1IDsUG7sFsvcaytVpDB7jBS2aqjKCdypaUI4xPzabNJKZdj+WvNn+tsW4/RVB2xkGeEk582NR/nE3ZMwaxy2guAqFp99FZ5bu+IXqDW3hHqvLVNiOltBiTmueJRtpW9oZgjHIE9sBOOujo9+v1/fvn5h/9Eeb77LHuYa+94HIt1bArbxs6yU1iIuRjEAnYqZp+E8erqdUBRONnA+c75DE6XQaiKGAySLDuqIjKVEtavhpXmSgW/mlplYChutYXx7Ay7tLsRZ5PWUePGL949euKoYPr7t1HOh2jK6mdXrVC5wHaoXLBCCp+Zp8MeAIEa+OqmZtns6x0xC7KTL2yZM+MtlRs3J6I2pViG8q258sX7OOxndrH0tpz5ki3rzuqxivyf/DnN+WMCN1SGs8yIxKS3y0aDQdYTwePVm8EMVRGzmVDK5UepkSi6cntnp2Ku8ktw20SOf5bGNm4BcRXyGdhfcfkJ9jQ7/VXTzl2vfEZGRLeJB94/zf4+LjqZjFi9cuWqJwDVHIFw29ha4V6a0wSQ5BSFrGxTGvV4uH30CFSfoEoJiY4mt0CGlozy8D+o5jgx+6jmBbwy4BEI+9d3rHnZ0I/GN+7usnL1ey+xM389WLx/1+INHRbWXfoDLjz+6Z07su+YN73vyIFFvd959sV3qtf2nfFA35F3FQw8AoDgABCGcv7JvJ7iABSRUp1epgK3CYLmFeJ5qGYSi7k3IEsbWYFQyQrE9PWqJzjM14yPj2OHrLDdhgYZZafDrqOCmQ8UpzGUuFzsLkUnVHMYs4uij/2F/cJfFxrfee3ld8QDzf2vsC8wo5nuaa44+Mabh+ghQAAA4XW1/pMcNqJgMuooCJQqiPLlrxWvQhjgF8//SgXTwej3O6M/NmF1x8zWHdVaFh/5uU3bnwXkmg1yXz6aT6km+QwpyW6LRdQn2Q0U9TGTotqUGOKqNclWAjJldKcyenwSZ0h8cyc75y5CT3v2xU42u+nL9p6UYpSa0Nne7yy+1EQ/7PaW6/dbm0N88llHNx18ic5qnrv59RXv0YUK93QAQr1q9QNhhyCJ3ORLiskXFJMvtDT5KhocAz63Yu7rj/PIY0oTXmKdjuAkfHg/60QWROeQZnI4+gq5M9oX4lybrUY5GWGrIBJRpnoDiChTUeOcJmE+qKL+GCJdcNEhlrSb+Q6T8+R887zoCZJPFyv1ZQBBscZ6pWKmQyqDLKBgMIoCNwcUdUrMcuuKmVot8AvlzU6qi9roq82/0LSFwoaNC69OAIQGdoRMVnSRY2mRUFAYoxcJlTDIOdBSfeJRD5nMSvEEu4B+dkS6svyKX6HWC0A+i1c2Kd5c2XRy3h0mgYbo/4spg/KNEDuCzdrMFFACSacHOUgFevPMXj5rMb9CfMoLfOrSA+KF5b9KyigFJCgExOMgQVJYD1TWiQQEwrO+G5rpVFUTC3DfaPxsA1vG9pEg3dQ8jnwV9QJea2Zv0k3XKtUKsJLHIlEqwBgjmU/LQUfRp9mbCwCxTjhHHZIf9OA8AILRID2BkJ+s1ZoxwDW1OMStBHU83G1fm5MZ0+4QzhUdK3f33F8MRKk50lPCUEXzoVc4K1NnTEvz+Rw6yqMpYkzrFSFGI7jd1ooIt4LJFRHRA24o/98LVH4tX7NllapJZ7zS6LZn8QVeLKsVKjrQrxv43GPPvUychyc/VveH0F3HR77xCrNs/mPDWy89tOWB3js3Y1+b1GPe7Jq5dxTuORZ11TZuHC3LD00fOhwI7OVWtVZygRPSeVUt0+D1Wq2mVGqiGX4zmNwOu8HOhccRljzgqoiArYV5DSXF1SDB1sddEk825YBijeRQiVcrvHAqyJ5Pv/3+k0l/7GwKzGzQ6Wa811i/qXFjfb0wlJ1jP/DXxwMGLpdcbNHcsTuWvv7ll29fOPPJXwAQpnMOLxWGxbIaK6VuPU3ySmaOmQ0cHDPPzVmNGM9qlJ1DHgNzu6hmOGTcZXYV9f8d8HTbUOn8QrbvuW11Tz3swiw0oRPvyPQu96Sywe9+2mlNGRBlVqGU88fB+dM97E+VvGCx2CV7ht/htgIgmqhez9mjt1FnRYR6bscerSYTkLTqvTcUDPLPA6osi+JOiG7ST//n2W+/++TCTLMsNCxmTzdu3Ny4evOmNS9gNlr5647tA/rh0V+/mfny+4Gv3r54+i+fxLF0cN44IRk6hdOTDF4jpdzqtkrxGit4uRskyaUyyqIw6paZQyiRZQ632++JsUuivNbh53Kb+x/2JYp/e/+7qFl8eecf/zBk65bfb7WQLstc2AZl1GMH9v3fJxx/p2pttp/+c/eGrS8oUksFoBYpHVxK3cVlMjkJ4UaSuj0GvhQMgKIsVkScspUqq0GtY98IAxWmOZS1p2QNgeJSXkPW3DX3mE+zrxreeANH3lObN6LH8KHopW83l9G3+3TugmsDC9PnPNkLgEKQuYQCzplcKIVu8HC4a56vQ5YpvYtY4ESnSHIzW6Vn+Qzd72xlLbYWV0R0nXpFDJm6XKvOqvPk5pJekVxrm/JekTY2T7teEU9KnHUa+zj/8pXd+rzbxD1uragaVBdAqDC+jaAUkrJv/OXKcGMXmJOnbhQXF/F3QsHJVnf87VhB3sSqoa/te5X9jf3r7FdPzMgtC/ccNOnTtwb3ZPb6ZWdOPLzh7amPD50/4z8/1T4uVE5ICkzt9ewxXYdBbfPqVx54ddvqMauTndXFnYfmBnY+2PS66ypEhs2ZFOn5IO08/ZFvfn4cEPYCCD24nnuUzM5i0nFz7dF7vEkWvcMhVEQcNgOA3q0Y7xjlCatesVT2mALbtRUfM1P06cfm/+GZhgadoWD/jBMnyJuLfn/kk+jrfHXnDOow4N5XP4gWAxDYDoDjxAtAwcr9tZ3PJCDa7Ga5MmImVlQ04/3EwqZSIqAJJVQc3NDQ1CG3TceObXI7CJWYU1Zc0qFDaSkAubaKudSxTZAEd4Q9TqPRrNP5kj22yognrLcC1z6ISzW5xSTOhATTljhb3v2det7Zv/eNGZnLt9g16B6h+aqNHZHv0yaP8TSV89QGJTzetxgMRqNOEkSdYHeYAGw2nY7KRje1xiKGfD5zeUyFyuJsRTUiQi0bdclYkzcER73JeuD5E2zOnB07dKSgy2icydpGlxLpQTZOcjW/XTo9NjcO5nNT4GQCoiASQHfca2tMVBjHYVRo6SRfJQGoCAfcdruDiz+gdwRo66xWHrfb4RPMPm5p0302p1UPDkUPuCLEt534Igi1bHVIVIgEzfAqepHh1bRDypryyOa1DVNmblnVsDhFl79rIuIAXcHhmYdfJicWLNj3cnSLcv/zx9HjQmV99dDDg8e8+heuMZq2cnxdUBBOApeiri69x23S22xcWW02g/V2ytpSV72Jmrp7m4JG6NDUt95RNPXwJ+q8d0XUSWM2dhSfU9EknsU6wSyDnOwzeLgds1GbYvxvmcVylSHFilGFxE4PYRT74fKaf/wOTZcvobX5lZ3PPffii88/10Cy2I/swyeR/AFNmMfeZ1f/8rfzH545p1j5vdyW1apU+6E8nOEzCrKsS3foHJkBwQhWq7siYrXprboUaHXDzMdZ0GLBqpaeO2hPAhMUr62Y+gRHrThpU8Niry7c+PBf/+f7yzvryabGFc8+6xowcMRg1kUqqh9azT5h/1GcNr14+GTWl29fevfUeYVXHNNSlVexqMKW6qHJyT6bL8OfnOK1pqalecxOp8wtv80MFRHz/+Y2VT5yJ1l63Ul6r3vQ0njtQyL9GzaIW15cvXnjnI8uf/fJ57P0SQsajObpM/d9mHXp3YunT59birloRDO2a6z/9T38eEzFCzE9okGOpw1ywy6zXm8wEF4DsZrB4FYtg03rc2nRkaE5IY15ZEfvjt4eRQtfaahz6rrsFoaZNlk/fTbaJFSenDQjlrnS6XyW1twOtIplrqLzeuZaEfHYJKq/rj/5t8pdueG5kbsG25Hfpq50+j/e/+tjA/bXzF82+dmN88r/evSPL3Z6ftEjj7Yds+J13jSzsaHnpjbt7h4Uvrdr2aAH+yzaXLm4R1W3O7p2KO71FCCkX/uG7BQrwKPWJlwu3jPioEKS1+C0OXtFLGGbVeaCkj1xU3kqIVjV5ONWqo52xVGXhtxKNuHyEMcdA5NSJuSy17ZurRiBXdlrw2vN8lyzHQeQZdU9/83mRWePngiAsIOvrjKhElx8fh86ZZPJ4DS4PSaz2aZzWdVV7TFqEbMS/4daVmW0rJcrhBY127EvX9TPNNQl6UP7Z7zztlAZLeMO6GMSvnpozV2Dj54hp7RcjgiVau+HAQ0ms6hHK6jhiJZl+NX0NFTicIYQt7ER+76ptuiMte/tYyP4oI/8o0cx9iPtrx6K5UpSgI/Winsblz4lNc3rsZipYBZ0yQ7ubnTuxCyYK7c2A1U2Z2Rlk8LhUHSq1BmbsoRPKeSfcBbp2qSdPsY+3jNxsk5nLHCcaHqjg0snBF7dzc6QBZ3OvHR/dK5QyUaz6j5l+4tJbXTp7trW9eRvHClACAIIOpXGzLBdFiVAUWlxQZ3RLaD1pnQ4ngmjmhUfYgteQT9m/JktwFVH2Cn27hFSQLxsGO6IfhU9jUdYD0AgfL1LfHw3z/sVMqnHK5jB7OBLO0UHfIJCVam1GRJo46KKOdrSUrLvuwFOnfnuS/tYTsWfl/StKu2xq3cXzuCVn9wf+pn87mrGy5vtC03HtkAsZ6YPCZW3yJl7RUQr6npF0P2/5cz0oeZ/ksHR0+TL6D5y31Q6eN685sPxrixetlPl5/YlJxu9AFbZRbmnpqlpTq09K3F7TdV/bpXcPJZTfEtxCddDvj7d3EK4ZLfHjedrpx794PFH58/49MClCxdM44aRZaRxE+aPjywnw0Zg4ebdS6Xj7NzZoCl4FhAvMxuZrfluorSo0RSABN+tlHzx8nKeJv3cDAiV7Ijaw5Oq4OwWDQ4H8UFqqsXiE2laujso0QScEzYFFXSDxYr7U7DPVNCV5Dj2pcRw4eKhDx+Z/9jjp45OnvHwVFIePIvB49LSPRvZ+yPvJcsjvOq5cRenZNg4zJn2qEvdpyXVQg6tAS/XAzu1JvkcpuoIdVglCaojEuTngS3pjfw38rSkOlOZT8nQVNOmbD9lKoU5HFg8t2TMUz2mRrqPyi95omTcisrHK/sMJSfuLFn/UKvsVinhsvqH/RkZSeoOPFuKdcJwrcuYCALV8343AGpSu4xtNPOWXcZcCQNO1/Xt0PNKk/Gszp3Ly0IVZPfVC2Lfxb3C5ZVhQDjK7fd5dVemazjNozNTahCARxo62irVJxKnwUz4SzDKgg+07k9ljt9sw2apra1KOJCldLR6NAOuqD89OWHNwpPHcdniPisKChY+tHv7My8sX/FdifTO+xlov4LNXXfvoH7vstCH5z462QkQypUYSDzBpV4Zzk5y6s3mZI+dGD1OMS3dlORL6h/R+3xOcNr6RpxJIPa5uRWkRdPQzZ6Nm29lf5Lfinl2ypuduEqQxqONXTatnD0HG9jQblU05erVU2+99f/EEzUL+/1uGTs397MxS+7YtDz/xwtzsfO+U4psZqMkeIVtnHNByAibW0GmBSxtctLd7iwZeNSYn1gJchaVBku9il8r9co82Ja9clCxDnKwNLs0IXQ6VLV4+OLx8+eOq7t/UVXVgmF14+YuGrN42MKqeVtnzHh627QZW8mHj01aNmxh794Lhz059ZEFD/CHvfj7JZN+N2XbM1Onbd8BiscDEJT9Fw8MDrdzWGSj0WYS9URPTS6LW/YmGSwW2So5HBScbqsz3UmsTqvThG7JlATlWg+33RHrzL7lpjuGUOGj1uaovjBEKnH2HjYCJfY6dmGv72BvYGd+ARu7j1wgZ5vZ3Ma57Ec08RslQBKsgaxUVYkkUR726QUqUDlmFjgmiYqtbgjFLYRiI5p/YebmnxVpXPuF1kupUABdeGdcdiE4pdy0Dj5fmkmCgNS13E07lbRqK/n1/mCviN+tt/WK6OGGznh/s4t9I39VVFmLztSUlwuwZdCiRC2l/Kk33lG0dHD/qprTbw5/ZmTxqMV9Z8yYvelw/cCqjf/+6K9P9H9t4KLl7R+cvmJR99W/f6Ggbs3LPQbRnMF1WW0mD5q1NDW4IJjSKdy5prTH+klDl+fctXrZxm5rs9r27dWuY8e8oqHTRvWb0MVZPfnuKWXOMUCwWLTQ8eKH6u5TWpiTanKAI8lnpW495N90QCAhzctKeI/FxVnZpaXZWcU4pzgrq7Q0K6tYnFrUrl1RYUFBYfwOQGEM7xzvEdt5hxKeSwWDXmrNT0936a1esbSDZAKH1ZRuIuCwOYjJYXKk5AWcoRQByhNPBdhblgFRMxHuG90bnN2obu8KDjc3eYHM1py5DiFU2NqhNXTQOXMWz10weE77sRWvffDZq0880vHB5vXv4PB3les1tv2D02z76xP2YNvdezD3pT3s7N497JOXhMCeTTu3t/2dq9X3n575qfMjIXZI/Q7b/u6brOGD0zj0rT+wD/+wB3P2xr8GQKCCushU8W1OdzqUhlt5pRQDokeJazP8rQwGh88D1EYJNTvSOakf3feGku9qVGpqG4xTV8ojfbXWGSt18iYUtdZJXEnDlt0/edPztWvHjM+btnB+HauecmLUlAeov2bk6HHjJkhCcGFoRIcJs1jnI2OaCgRBqd8NhFraSI+CBGbICTupxI21YNTrBbMkWKwmUYegHGS5WbPRiyhjVuw2EAfPVEriM1kjLsUhtexzTK9lO0kQ1/dk29mzvXB9yo23qh9EHfeDXhAhJWwiKKAki0J1RCSQr20nattixUJOXfM71Bv9Hhc+CdeuaV3LRAIbAAjXdUoX16r7wqGgF3iOLui5Zpn1JodXKu1gsnFoi9Pi0DmtjnQHAR63E4fT4bythikCCP22ZKVVoUS+hp0Bqm51Fnr+L2UjHz5YPXLwfRNx36B+l3eeXrwWxYbNVy/8n+pGrtwd7tNtSfXsNFaLo9jTdPZ89ub/pXB47YrkEiRpzW3r+oJ09UfBJLnmAoG5dBi5LJ5U83Z/2GIGp7L7nGwzHPNQhS3J7yWaAKe27LkytvA6c/fPn39g4Oqa+fun195VPX3qwLunC2vmH9i/oGZlTdOCgdOm3l0zdZoiv/GASic8yQYLAMhwBiA6Q93NqCLLub9OUmpcstOLaHGCwAsItnQvZqjyadHEUVx6cz+0JMt+sjy645vIQH91edGont0XbPj9msiaPXiIVI2/NHhk35IePbMLh0yeP6V6/ZPPA4KflKlzBqAsnGkVRaCONIPUOstxn/MhJ+nrRKMzxUmcTl2yP92s88eVhKvIfTe2KDHRmKtlyd/2PpPpA3vsPbRzw4w1sz/8snbmA6Or7+w+pUPP8mXDl2wVvqx+wJu//YmVHWb32L5q0oAeXXrkBYa2LZl5056LnkfvwhP6xD0X5YAIN3pyAOvaT85494494cnCD133dnN3O1oEqNZDegiV4IHicLJoMOhs4HS6dC6+LeC2ulLMRKks6LWkMWHX6XqfaELKyMnTOhsGs13PNCxJNkz+Z/0Qg6GhAeewK698pKaNLwyr2caOScrsU1mzMEJygRWCYYcgIoBopDa7TidSq4jaQa/8RJkG7MortqVTEvILI6Z9PL1rzacn//ov0pY1S3t/raYhx5WrKDBA2ED6Yh0dqvitsEECMJuofkCEQsyAJOqq2jzatUOseZR82L1nz+7xMwlZzIVNAOBQIge7xQhgUfrILXa7jtog/71CzQq3qDNoZYbSkOzBpo31obZtOw24a8BDQx4ubWIXRk7UT9S1Kckrtu+bHgSEvqQKP1d3kPleHwFKDSZuX2mGBGlK3sc5EGO7FpnEzw8MXLlQ8pQsvpNv4K4ld9471NP2/hFAoDt1kaPi26q3zgo7lONnEnBvHfMfbr3iP964r4XTTjgzJSYsWHJ0V/3qF3eu3/B8lN07fsKwYRMeGCZM3nHw8LPP7T+w/TH+b/YjjwCBau4hdsY9BF+ZRr1AgMrEoJdu5R/4fBhELEUxdqM72c5aTGef1+IQVnvjPTGxCb3wfhzek01IufGW24c+AOIZzq8gnCYLACAbHrsGKMNHNDV6EPR/osTBA8ziYuCw7Tjs+ThseQz2CwV2Ou3PYeV9xMZBVchkAMkvnuAQM34FFf4CxEZ9KD5qXmxUIBBiM2mNMBxSoY3Sba1zpQWwlbVVwCXk5EIqmmhqKj93lzEgkm2zG3tH7IEWecP9w+9rGZ4ohslCYnXDUm9MGF2J0ihbnJBfkf59Rs7q4vv9Y9X1ozq9+dbRTwPhSMnYbk2zOnXtXqqkXKHH1tZM7NOvw5ip2e0XjzjcWDEhMjB/yIz70jFvcU/eGRvmVKrdoPJ0bltbq9R1v/YaDgTdn4hNzIa84ltA1MLCGETS7SCOQSAGkdoSIv86xGsg3HKMrOsQE6CUQxiaKGmtgtyAkWIwIMNxKIN5QK4xAIk3MIIVnNA/fAdPM+wIOhPaRNEtuvROycm7kHm7iMHM7wabASUqOtByowkglmHm5an5G8bOiYau9y/SAF7vYVQ2zqR5UUeUXdxLDtMT0SMkNXqR9Lhag0cfURpetbZG/AvZr2jRHOZSOkc5ztkqzrMIAf55rM9N5VmbON8PqhxBs8aRmyFqoTwG4b4dxLFrV2MQyS0hsq5DTACHylWC/hhXgUA+gFip9id54Z5wod3t1glmAKcgCUk+rogS11erXC6/JJ+WL8jcIsuyoNfbqiJ6Kri17tNEXW55EDWhHZV7uVhLarxnM5QhVqpNqbM3bcJ9eBf+bn/07S9xNlt4lIyKtaWSunqyntWxHSQcba5nhhhNYrmqS+3jurSmJdWx7jiVLwUx3sKsmLb5bgdRi4YYhP92EMegKQaR3RIiX4PgeGy65RhZ1yEmwMdxnW4b5z7CQrQJJmEDGMEX1st6ino0mXXgy0+0x2rMHLeOu0ewbTh8BHua7RiLw9m2MThS2DCa/3fbaLyfPTsaR+CIsWwrAOXzv877434CJ6RAQFkZnnRvmsAPExtcAA6rqFMCF0+a32f2945YHTpRoDazQHnjnES1lrm3+Fq4+YgL/ygm0lglwc7fxSoM1BZEj3qKzovZ1zsLv1479tEH9ykddGe2jnx04rGmh6Mjpu/9zy/NwbFk68SdWpPhmOUDNr2FDyl9dMMXV699l61D26bmvgOVZjp2ZRN9qTc7xVdOrI9LlUxpXLoVMfk7Nb7fDFELp2MQKbeDOAZzYhAZLSGyrkNMgA3xlRNMtEfCbHWUTvF5CmKjOFSQeO/frHjvH9+pMOtFUbKDBB6vWeALiC8fs96sl2LdkZoVarkRrHVH8v9lCDcaJGexM+zzQ42NZ9GHnuYrO3mL5LvvUdvFy4zXWq/B6ei/V+5Y9yQAqv0oW6R0aK94ppxcMTUAXpMJUu25YkGhw5Hbrl12RaQd5LrV3S5tj+vm0xpaZCBL2vZIQjWCo6Q2/2lnOTKUqE/1UYJv5ZAOKb36Lxv32p+OTCrfUnn27ofnjujZq094yVz2TcPf/v7+58IPi6dX3OnPyC0L3b917LZdPTcF8w/0mVQxcHZN+cTisqHF1YMuXO0r7Nv3562c52pXkOTnPL8TACXovgLUVWlXOH6L57V56vN2t3t+7FP1eajFc/Gz689fe+UW3xc/vP58whegruiOKsCNGRZehzj+cwyiTQwCqAIhKbtXOVDENWdkOJQLre3tedlIaF+WlJTe3ghi5y4pbYNtKyK+AqGgV6RD66BdECyZQU+xzqKriLgsNtBaO9R97viBxZsNL1corarUot3Jy/+qHSkOv7bLFExMz5TiAMaaVIb/wg7NmPnUc0VVb4+a/3xO8a6Hj/0reqcOO967tWbwurHswpy73lz03Mt7Jg1ZtfPpwzvoK7OWGon8BOY/+yddrEUqp/ie+4eMYP/9+yRWGwjyVpav5k5sXH9/5MVNo2XdQ6Sw4ektO5V1zXc4lW4kzreeMU+JFaqnVDtxVIn1ikl8vyqRVppEbn5e21993vp2z4/9rD7PafGcS1R7PsEQk1d7TaLX/gqAo9URXolZHHYXKGOgqI3xIgApTICovZYRgzDHIa79iUMMSoA4xl6IQTg0iG84RDrHQ4OYwA4CqBbHZ9d89VRlx1zyq6euqsJ5fsnUqhXwYN5jsTttkj7YRp9eETFSj91nsfLIR0+9LqSttY3QmLJw6/3b430QyITiIlAqxdlBMcj/lHpUk+6gRVqnV4kwil39+e/sK5T/9sUYXdkp9n3vr4YN77ll3OW+pzc8v7NpC3vppe0vPUtC7Ev2FzR/cQmlWcInr25+cGHXgtrefZ6cNHMlm8b+taaRbXjh4Aku21jXgbraqmOrzaLyJC1RNqNUrt0Vk/1HquySb/e8drD6PPN2z4+p45Ngi+d8fu35a9/f4vtcJtrzCSkx3Wh3fS2Ph2YhR9gJVO1CD4WTPAaDTSACKjsZTifKZjMqJ/QQ8tX1yhOfG8nPjUN6iccXE96Pp8ejezqVFHXsFCrqot3J8iefZP/q3KW8Y1m4nPwYfwOUY3tEGCUsjvv7PvxEa3orl8vQ6iZn76u47uxt1M+b2Kjnf3P2ZWVxBdGcfXw7QXSpTl4Si1SnX6L2X2yaUjNt+Dw0Xd40o6Z25NzmV4rxTJ9pvAljfYjl95r63Iuxboyetf0XbEBQGjL6zuy7cMOvu8aRRcWffLRjTHRO6DzXjNjutSq5e2KSf0PVDI8mmZuf107VNOfWz4851OeBFs+5ZLXnE/yxtZarrfrYDqw6wr2xGWIjpKsAWu+I2t+VyXex0jOkFJfNZpfsrQMOsKeYPHqqT+NdjB7q5euvRZPnb3oYUWsXUUomXo/W9JUVbx7J4HugOKR748Sz333/yd8fMwk63mSElTs38OYRzF9LmyID2Efsvwpjn83sV86KdcDaFQ1NOXQi58u3ce/ZMxo1nF6Nmgn7Y/TmxejV+puEyuv9TaJArLfsb+Iw6gkU6UvxFLggHe4Ot0uSrE5nKpjtqZKY4bc6eDxpBaOR51hGGj+Vwg8UUAc4b5zk4det2ia1fWVJO2TlvZF9aafq7NnSl1EYN4y9zJ7BYRgeN5RaonxdR8+Rfs09fmXXEH+ecs89LqzDiTgeF3ljSZmwlZ1m55QTGn6hNi32qy1yujAU0iAXCmBQuG26zkI8nqx8t7tVlk4oDOW1Mbbh0RHvSCKixdiunWg32pIyxcyKCIieFj7YoVjVRAeseV9R9a0q5rdyvYktTFkxnyvWs/Nzup6pu8B+ROnrBae6djz2+InL0aAOq4Y/e8+QDVf9G154buPm5xvWCb3mrjKRjN+7vp4xEwtQh3q8Y+a0KbPYz19MYDO5tw1mkLIPz3985rOPP/10x9NP7wBEE68Q7pH8YFF6wGWwWXmN0KJs3CSfKkwsE/Igzx1QzhIE0DR3nLfB89CcmUMWLuFF2u+WPJGTu3C+t3TBoiIAgpP5iG2lhdp+kEMyxSpMejflw753u9KSrHUfcfpp29njxj46a8zY3z3YPRTq3rmsqJu4b9TM2lGjps8c3qFLlw78AkQdn+k78TN1N5wPn+Szg2gC/nKrZc73En4mKLYb3o4vKU6BwvQ0olRTQpJEXXkDB/TOLAxZRpmn39tucP/KjIL21tHmqcL5rLZZnbvMquO3Tl1n1aldEci5Ff/FEyCCePMvngykw+K/eMIh5f8VUtYgffQ49lB7+R0HUNTpQenhP6WBBkscHEs5y+QZ1WF29yx63DMUTVyicNM3RdTpRZly061Rq55Od5RisXIk/bGKDPGARzmLjqmfcouq/e4LkcAKAEQZizSpY1khOWwS0KwXbHbQUZP2M1+x3pUgbyrhA/vjeGG9tcNjs9M6maNnb2B4FnXTeR1Tw7TF6DZldL0ZRcHuMIs2WRn9LW10DWe/ei9JQJ4ELUkjOsxJ7m6+QYbnXvbTY2Ow6D6FHh/7lTTBZZSVLOtqB8g4iCCHzeZK+dC1Y38ymWJ3vb5SBnteXszG7cAfyXB6EYzgPBD/URrIP3Wr6u+OqQ9OmDF94qRp5JtZj/9u9sx5C/icym8TiHvgB8gGOwAEwU4c/M4nELJA1RaoJelK5ZPTbBAIlYikk0WuCInpvPM3e2CJ+16ASv2UpGqjUBAIkMRRWhRNSeqtK6QAyGYBkJXxUyYgEkE7ZYLxAQJIVjbPWkkXx4+ZIJRzr1gnnuT0TQ2Xp3rTPZ5kI5Hl5NZ2wZDslYJtjN4kb/+ILklMTUvtHyFp1rT0tPw0qqdJaUlpzsxM6BvJlJ0W3iDhg5ZN3bwwdMsfKruRW2ZQbuRlt9evdcorVpPyolGwuJT/dUDsCHUKOz4AWfRHQvA065Z1snHLxtW7/oddaNewgZANO4LY+n9OPN+rQSxmD80rC7ed1/Rm9/puaEacl3tH9TwUsfXIpYPVzprl6o4iBXdYT0AUtDAtYc3y+EuJtrjkUwGEVlI650ylKvE+5ABA/HNTwuf9lc+BgItUcf0/AgZwQedwuks0ypTyaYjSqY+iqLe60l3E5aIWOZ1mxPuV70toergeGwR4g0v8V2eKi0otVJZJ05xV7GHcsHQO+0ESk9LSjDup6913x/KzVKdeX9THFGzb1v5TDDfpQ45bECoJ9+43cBcf0nCXXr/F8/43notvxJ6rVEnqc1TWG05X9cp+AAQRKWiHl2Knck80KgqljCAC4Aq1QvJpPHP6XaxCImp1FiUv6pwAUXstt2Ud9NrbHGJCAsQx9ufEKktsFtJBzroOMYF9EK/V+GK1mv8PflNJUQAAAAABAAAAARmahXJJOF8PPPUACQgAAAAAAMk1MYsAAAAAyehMTPua/dUJoghiAAAACQACAAAAAAAAeAFjYGRg4Oj9u4KBgXPN71n/qjkXAUVQwU0Ap6sHhAB4AW2SA6wYQRRF786+2d3atm3b9ldQ27atsG6D2mFt2zaC2ra2d/YbSU7u6C3OG7mIowAgGQFlKIBldiXM1CVQQRZiurMEffRtDLVOYqbqhBBSS/ohgnt9rG+ooxYiTOXDMvUBGbnWixwgPUgnUoLMJCOj5n1IP3Oe1ImajzZpD0YOtxzG6rSALoOzOiUm6ps4K8NJPs6vc/4cZ1UBv4u85FoRnHWr4azjkRqYKFej8hP3eqCfDER61uyT44DbBzlkBTwZD8h8/sMabOD3ZmFWkAiUs5f4f2SFNZfv6iTPscW+jOHynEzEcLULuaQbivCdW5SDNcrx50uFYLzFHYotZl1umvNM1tgNWX+V/3gdebi3ThTgVEMWKYci4kHZhxBie3TYx3rHbGr+Pdo7x4dIHTKe5DFn+O/j+W2VnE3ooW6isf0LIUENvZs1gf/LHojJwdpplCP5gn/5gi26FoYa19ZVFOJ6Sxuoz/q2Ti20IKVJdnqvYJwnhfPH/2f6YHoQF30aZaK9J8T026RxH5fA/WPW/8IW4zkpnIfoFLifGB86v0ffm5nbyRs5iaHR3hNBD0HSfTzoPugRM+hdN0x052KoHLBS0tdgpidAiEesDsgWYO73RWQz2LWIwjqnMe/uYISQtlbyf2NlT9Q9PoBcBnrO6I5ELoMeyHkNnIXGdv809H/DXNOTeAEc0jWMJFcQxvFnto/5LjEvHrdbmh2Kji9aPL4839TcKPNAa6mlZUyOmZk6lzbPJ3bo56//Cz+Vaqqrat5rY8x7xnzxl3nvo+27jFnz8c/mI9Nmh2XBdMsilrBitsnD9rI8aiN5DI/jSftC9mIf9pMfIB4kHiI+hWfQY5aPAYYYYYwpcyfpMMX0aZzBWZzDeVygchGXcBlX8ApexWt4HW/gLbzNbnfwLt7DJ/p0TX4+Uucji1hCnY/U+cijVB7D46jzkb3Yh/3kB4gHiYeIT+EZ9JjlY4AhRhhjytxJOkwxfRpncBbncB4XqFzEJVzGFbyCV/EaXscbeAtvs9sdvIv3cjmftWavuWs2mg6byt3ooIsFOyx77Kos2kiWsIK/UVPDOjawiQmO4CgdxnAcJzClz2PVbNKsy2ZzvoncjQ66qE2kNpHaRJawgr9RU8M6NrCJCY6gNpFjOI4TmNIn36TNfGSH5RrssKtyN+59b410iF0sUFO0l2UJtY/8jU9rWMcGNjHBEUypf0z8mm7vZLvZaC/LzdhmV2XBvpBF25IlLJOvEFfRI+NjgCFGGGNK5Rs6Z7Ij/45yNzro4m9Ywzo2sIkJjuBj2ZnvLDdjGxntLLWzLGGZfIW4ih4ZHwMMMcIYUyq1s8xkl97bH0y3JkZyM36j/+58rvTQxwBDjDDGNzyVyX35Ccjd6KCLv2EN69jAJiY4go/lfr05F+Ua7CCzGx10sYA9tiWLxCWs2BfyN+Ia1rGBTUxwBEfpMIbjOIEpfdjHvGaTd9LJb0duRp2S1O1I3Y4sYZl8hbiKHhkfAwwxwhhTKt/QOZPfmY3//Ss3Y5tNpTpL9ZQeGR8DDDHCGN/wbCbdfHO5GbW51OZSm8sSlslXiKvokfExwBAjjDGlUpvLTBY0K5KbiDcT672SbXZY6k7lbnTQxQI1h+1FeZTKY3gcT2KvTWUf9pMZIB4kHiI+xcQzxGfpfA7P4wW8yG4eT/kYYIgRxvgb9TWsYwObmOAITlI/xf7TOIOzOIfzuEDlIi7hMq7gFbyK1/A63sBbeJtvdwfv4j28zyaP8QmVL/imL/ENJ5PJHt3RqtyMbbYlPfQxwBAjjPEN9ZksqkMqN6PuV7bZy7LDtuRudNDFwzx1FI/hcTzJp73Yh/3kB4gHiYeIT+EZ9JjlY4AhRhjjb1TWsI4NbGKCIzjJlCmcxhmcxTmcxwVcxCVcxhW8glfxGl7HG3gLbzPxDt7Fe/gY/+egvq0YCAEoCNa1n+KVyTUl3Q0uIhoe+3DnRfV7nXGOc5zjHOc4xznOcY5znOMc5zjHOc5xjnOc4xznOMc5znGOc5zjHOc4xznOcY5znOMc5zjHOc5xjnOc4xznOMc5znGOc5zjHOc4xznOcY5znOM8XZouTZemS1OAKcAUYAowBZgCTAHm3x31O7p3vNf5c1iXeBkEAQDFcbsJX0IqFBwK7tyEgkPC3R0K7hrXzsIhePPK/7c77jPM1yxSPua0WmuDzNcuNmuLtmq7sbyfsUu7De/xu9fvvvDNfN3ioN9j5pq0ximd1hmd1TmlX7iky7qiq7qmG3pgXYd6pMd6oqd6pud6oZd6pdd6p/f6oI/6pC/KSxvf9F0/1LFl1naRcwwzrAu7AHNarbW6oEu6rCu6qmu6ob9Y7xu+kbfHH1ZopCk25RVrhXKn4LCO6KiOGfvpd+R3is15xXmVWKGRptgaysQKpUwc1hEdVcpEysTI7xTbKHMcKzTSFDtCmVihkab4z0FdI0QQBAEUbRz6XLh3Lc7VcI/WN54IuxXFS97oH58+MBoclE1usbHHW77wlW985wcHHHLEMSecsUuPXMNRqfzib3pcllj5xd+0lSVW5nNIL3nF6389h+Y5NG3Thja0oQ1taEMb2tCGNrQn+QwjrcwxM93gJre4Y89mvsdb3vGeD3zkE5/5wle+8Z0fHHDIEceccMaOX67wNz3747gObCQAQhCKdjlRzBVD5be7rwAmfOMQsUvPLj279OzSYBks49Ibl97In/HCuNDGO+NOW6qlWqqlWqqlWqqlWqqYUkwpphTzifnEfII92IM92IM92IM92IM92IM92I/D4/A4PA6Pw+PwODwOj8M/f7kaaDXQyt7K3mqglcCVwNVAq4FWA60GWglZCVkJWQlZCVkJWQlZDbQyqhpoNdAPh3NAwCAAwwDM+7b2sg8kCjIO4zAO4zAO4zAO4zAO4zAO4zAO4zAO4zAO4zAO4zAO47AO67AO67AO67AO67AO67AO67AO67AO67AO67AO67AO63AO53AO53AO53AO53AO53AO53AO53AO53AO53AO53AO5xCHOMQhDnGIQxziEIc4xCEOcYhDHOIQhzjEIQ5xiEMd6lCHOtShDnWoQx3qUIc61KEOdahDHepQhzrUoQ6/h+P6RpIjiKEoyOPvCARUoK9LctP5ZqXTop7q/6H/0H+4P9yfPz82bdm2Y9ee/T355bS3/divDW9reFtDb4beDL0ZejP0ZujN0JuhN0Nvht4MvRl6M/Rm6M3w1of3PVnJSlaykpWsZCUrWclKVrKSlaxkJStZySpWsYpVrGIVq1jFKlaxilWsYhWrWMUqVrGa1axmNatZzWpWs5rVrGY1q1nNalazmtWsYQ1rWMMa1rCGNaxhDWtYwxrWsIY1rGENa1nLWtaylrWsZS1rWcta1rKWtaxlLWtZyzrWsY51rGMd61jHOtaxjnWsYx3rWMc61rEeTf1o6kdTP/84rpMqCKAYhmH8Cfy2JjuLCPiYPDH1Y+rH1I+pH1M/pn5M/Zh6FEZhFEZhFEZhFEZhFEZhFFZhFVZhFVZhFVZhFVZhFVbhFE7hFE7hFE7hFE7hFE7hFCKgCChPHQFlc7I52ZxsTgQUAUVAEVAEFAFFQBFQBBQBRUARUAQUAUVAEVAEFAFFQBFQti5bl63L1mXrsnXZuggoAoqAIqAIKAKKgCKgCCgCioAioAgoAoqAIqAIKAKKgCKgCCgCyt5GQBFQBPTlwD7OEIaBKAxSOrmJVZa2TsJcwJ6r0/+9sBOGnTDshOF+DndyXG7k7vfh9+n35fft978Thp2wKuqqqKtarmq58cY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<section class="page-header">
<h1 class="title toc-ignore project-name">R 數值預估評估方法</h1>
<h4 class="author project-author">Ivan Lin</h4>
<h4 class="date project-date">2020年4月18日</h4>
</section>
<section class="main-content">
<div id="模型評估-驗證指標validation-index" class="section level2">
<h2>模型評估-驗證指標(validation index)</h2>
<p>若將預測這件事簡單區分成兩大種類,大致可分為<br> 1. 機率預測,比如會不會下雨、下一張牌的紅心A…<br> 2. 數值預測,比如預測下一季的銷售量、捷運站的客流量…<br> 我們利用所蒐集到的資料訓練出模型進行預測,然而怎麼評估模型成效(Performance)呢?<br></p>
<p>我們會使用驗證指標(validation index)來當作成效參考,對應到機器學習領域,依據應用分為「分類指標」和「回歸指標」。</p>
<p><strong>機率預測的「分類指標」</strong>: <br> - 二元相關:混淆矩陣confusion matrix和相對應驗證指標、ROC曲線、AUC。<br> - 多元相關:多元混淆矩陣和相對應驗證指標。<br></p>
<p><strong>數值預測的「回歸指標」</strong>: <br> - 絕對誤差(Absolute Error, E)、相對誤差(Relative Error, e) <br> - 平均絕對誤差(Mean Absolute Error, MAE) <br> - 平均均方誤差(Mean Squared Error, MSE) <br> - 平均均方對數誤差(Mean Squared Logarithmic Error, MSLE) <br> - 正歸化均方誤差、均方根誤差 <br></p>
<p>這篇先來介紹數值預測的迴歸指標,相對比較容易一些。<br></p>
</div>
<div id="數值回歸前情提要" class="section level2">
<h2>數值回歸前情提要</h2>
<p>在講述數值模型評估方法前,還是不厭其煩的前情提要,數值預估多採用線性回歸(Linear regression),是找出自變數(independent variable)和依變數(dependent variable)之間的關係建立出來的模型。<br></p>
<p>白話來說,就是找到一條公式,可以解釋自變數<span class="math inline">\(x\)</span>(或稱內生變數endogenous variable)與依變數<span class="math inline">\(y\)</span>(外生變數exogenous variable)的關係,也就是 <span class="math inline">\(y=bx+a\)</span> <br></p>
<p>當只有一個自變數和一個依變數的情形稱為簡單線性回歸(Simple linear regression),超過一個自變數的情形稱為多元回歸(multiple regression)。<br></p>
</div>
<div id="數值預測評估方法" class="section level2">
<h2>數值預測評估方法</h2>
<p>對於數值預測的效果評估,「回歸指標」主要是比較真實數值與預測結果,例如預測銷售量為25645,預測為24332,比較兩者差異值1313,即為最簡單的絕對誤差,從此概念延伸有許多的誤差計算法,觀察真實數列與預測數列的接近程度,越接近就表示預測模型效果越好。</p>
<p>下面就要介紹常見的評估指標,首先</p>
<p>我們討論時,假設資料列共有n個值,以符號代表:<br> <span class="math inline">\(y_{i}\)</span>代表真實值<br> <span class="math inline">\(\hat{y_{i}}\)</span>代表預測值<br> <span class="math inline">\(i\in[1,n]\)</span><br> 另外!自由度的問題會擺在後面討論。<br></p>
<hr />
</div>
<div id="絕對誤差absolute-error-e" class="section level2">
<h2>絕對誤差(Absolute Error, E)</h2>
<p><span class="math display">\[E_{i}= y_{i}-\hat{y_{i}} \]</span><br />
很直覺,真實值和預測值差異,其值當然是越小越好,絕對誤差有正負之分(但也有些教科書取絕對值)。<br> 這裡我們參考<a href="https://zh.wikipedia.org/wiki/%E8%AF%AF%E5%B7%AE">Wiki</a>上的定義。 從樣本所估計得到的誤差為“殘差(Residual)”,誤差與殘差的差別我在後面討論!。 舉例:預測今天總來客數是1500人,實際上是1600人,差了-100即為E。<br />
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" alt="Regression Line" /><br> 這張圖修改自<a href="https://medium.com/@chih.sheng.huang821/%E7%B7%9A%E6%80%A7%E5%9B%9E%E6%AD%B8-linear-regression-3a271a7453e">Tommy線性回歸</a> 不得不推Tommy大的Medium非常精彩!<br> 這張圖上的殘差就是這裡說的E,真實值、預測值、平均值之間的關係都可以用符號代表。</p>
</div>
<div id="相對誤差relative-error-e百分誤差" class="section level2">
<h2>相對誤差(Relative Error, e);百分誤差</h2>
<p><span class="math display">\[e_{i}=\frac{y_{i}-\hat{y_{i}}}{y_{i}}\]</span> 將絕對誤差除上真實值,大多數情況能將數值控制在1與-1之間。此時失去單位,可用做不同預測值間的比較。 承上例,-100/1500= -0.06 ;約為 6%</p>
</div>
<div id="平均絕對誤差mean-absolute-error-mae" class="section level2">
<h2>平均絕對誤差(Mean Absolute Error, MAE)</h2>
<p><span class="math display">\[MAE=\frac{1}{n}\sum_{i=1}^{n} \left |E_{i} \right |=\frac{1}{n}\sum_{i=1}^{n} \left |y_{i}-\hat{y_{i}} \right |\]</span> 討論點估計看E和e。<br> 對整個預測數列評估時,則要看整體的誤差分佈狀況,然而拿有正負號的絕對誤差E直接相加會有問題。舉例:<br />
下午一點預測來客數1600,實際1500,絕對誤差E為-100<br />
下午兩點預測來客數1800,實際1900,絕對誤差E為100<br />
直接相加為0,無法當作模型評估指標,因此改取絕對值相加後平均,MAE則為100。<br />
白話來說就是,我這個預測模型平均會有差不多正負100的誤差! 但事實上取絕對值的方法在統計上不常用。</p>
<p>註:error和deviation的含義是一樣的,所以Mean Absolute Error也可稱做Mean Absolute Deviation(MAD),其他指標同理。</p>
</div>
<div id="平均百分相對誤差mean-percentage-error-mpe" class="section level2">
<h2>平均百分相對誤差(Mean Percentage Error, MPE)</h2>
<p><span class="math display">\[MPE=\frac{100%}{n}\sum_{i=1}^{n} e_{i} =\frac{1}{n}\sum_{i=1}^{n} \frac{y_{i}-\hat{y_{i}}}{y_{i}}\]</span></p>
</div>
<div id="平均絕對百分誤差mape-mean-absolute-percentage-error" class="section level2">
<h2>平均絕對百分誤差(MAPE, Mean Absolute Percentage Error)</h2>
<p><span class="math display">\[MAPE=\frac{100}{n}\sum_{i=1}^{n} \left |e_{i} \right |=\frac{100}{n}\sum_{i=1}^{n} \left|\frac{y_{i}-\hat{y_{i}}}{y_{i}}\right|\]</span> 是取相對誤差(e)絕對值之和的平均值,大致可感受偏差的平均程度。<br> 是經常被拿來使用的數值評估指標,一般來說MAPE < 10%的模型為可接受的。<br> 但有一點需要非常注意,若實際值出現0,會使得e變無窮大,為了避免這個 bug,MAPE一般用於實際值不會為0的情形。</p>
</div>
<div id="均方誤差mean-squared-error-mse" class="section level2">
<h2>均方誤差(Mean Squared Error, MSE)</h2>
<p><span class="math display">\[MSE=\frac{1}{n}\sum_{i=1}^{n} E_{i}^{2} =\frac{1}{n}\sum_{i=1}^{n} (y_{i}-\hat{y_{i}})^{2}\]</span></p>
<p>跟平均誤差類似,但平方除了可以避開正負不能相加的問題,還可以放大誤差的作用。 用這個例子感受一下差別:</p>
<div class="sourceCode" id="cb1"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb1-1" title="1">diff=<span class="kw">c</span>(<span class="dv">1</span>,<span class="op">-</span><span class="dv">2</span>,<span class="dv">1</span>,<span class="op">-</span><span class="dv">4</span>,<span class="dv">100</span>)</a>
<a class="sourceLine" id="cb1-2" title="2">MAE_diff=<span class="kw">mean</span>(<span class="kw">abs</span>(diff));MAE_diff</a></code></pre></div>
<pre><code>## [1] 21.6</code></pre>
<div class="sourceCode" id="cb3"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb3-1" title="1">MSE_diff=<span class="kw">mean</span>(diff<span class="op">^</span><span class="dv">2</span>);MSE_diff</a></code></pre></div>
<pre><code>## [1] 2004.4</code></pre>
</div>
<div id="正歸化均方誤差normalized-mean-squared-error-nmse" class="section level2">
<h2>正歸化均方誤差(Normalized Mean Squared Error, NMSE)</h2>
<p>先看熟悉的離均差平方合sum of square <span class="math inline">\(SS_{t}= \sum_{i=1}^{n} (y_{i}-\bar{y})^{2}\)</span> <br> <span class="math inline">\(SS_{t}\)</span>是用來分析原始資料的離散程度。 我們將<span class="math inline">\(MSE/SS_{t}\)</span>得到正歸化後的NMSE: <span class="math display">\[NMSE=\frac{SS_{e}}{SS_{t}}=\frac{\sum_{i=1}^{n} (y_{i}-\hat{y_{i}})^{2} }{\sum_{i=1}^{n} (y_{i}-\bar{y})^{2} }\]</span> 原本的MSE還帶著單位平方,正歸化後較適合比較。<br> NMSE的值超過1時,表示模型很糟糕,越小越好。</p>
</div>
<div id="均方根誤差root-mean-squared-error-rmse" class="section level2">
<h2>均方根誤差(Root Mean Squared Error, RMSE)</h2>
<p>簡單來說就是對MSE開根號,表示預測值與真實值的平均偏離程度,仔細看就會發現算法跟標準差有雷同概念 <span class="math display">\[RMSE=\sqrt{\frac{1}{n}\sum_{i=1}^{n} {E_{i}}^{2}}=\sqrt{\frac{1}{n}\sum_{i=1}^{n}(y_{i}-\hat{y_{i}})^{2}}\]</span></p>
</div>
<div id="平均均方對數誤差mean-squared-logarithmic-error-msle" class="section level2">
<h2>平均均方對數誤差(Mean Squared Logarithmic Error, MSLE)</h2>
<p><span class="math display">\[MSLE=\frac{1}{n}\sum_{i=1}^{n}\left ( ln(1+y_{i})-ln(1+\hat{y_{i}})\right)^{2}\]</span></p>
</div>
<div id="希爾不等係數theil-inequality-coefficient-tic" class="section level2">
<h2>希爾不等係數(Theil inequality coefficient, TIC)</h2>
<p><span class="math display">\[TIC=\frac{\sqrt{\frac{1}{n}\sum_{i=1}^{n}(y_{i}-\hat{y_{i}})^{2}}}{\sqrt{\frac{1}{n}\sum_{i=1}^{n}y_{i}^{2}}+\sqrt{\frac{1}{n}\sum_{i=1}^{n}\hat{y_{i}}^{2}}}\]</span></p>
<p>其值介於0到1之間,越小預測效果越好。<br></p>
<hr />
<p>看到這裡是不是頭暈了呢?其實還有許多衍伸變化,不過皆大同小異概念雷同。<br> 太多公式無法記住全部沒關係,重點是這些指標都是值越小表示模型越好!<br> 眾多模型比較時,只要選定適合的,即可開始比較各模型的驗證指標(validation index)。<br> 其中RMSE請一定要記得!</p>
</div>
<div id="判定係數coefficient-of-determination-r-squared" class="section level2">
<h2>判定係數(Coefficient of Determination, R squared)</h2>
<p><span class="math inline">\(R^{2}\)</span>這各位肯定不陌生,另外還有常見的Adjusted<span class="math inline">\(R^{2}\)</span> <br> 其為最常用來反映回歸模型解釋力的統計量。使用在很多統計書上都有描述,但千萬要小心一知半解的使用,尤其是把它跟相關係數(coefficient of correlation, r)搞混。<br> 又稱為「決定係數」或者「擬合度」,亦可理解為誤差百分比(precentage of reduced error, PRE),反映的是預測值對實際值的解釋程度。<br> 其值通常介於0-1之間,<span class="math inline">\(R^{2}\)</span>越接近1,預測值越接近真實值。<br> <span class="math display">\[R^{2}=1-\frac{SS_{e}}{SS_{t}}=1-\frac{\sum_{i=1}^{n} (y_{i}-\hat{y_{i}})^{2} }{\sum_{i=1}^{n} (y_{i}-\bar{y})^{2} }\]</span> <br> <span class="math inline">\(SS_{t}=\sum(y-\bar{y})^{2}\)</span>為總變異量<br> <span class="math inline">\(SS_{e}=\sum(y-\hat{y})^{2}\)</span>為殘差(誤差)變異量<br> <span class="math inline">\(SS_{regression}=\sum(\hat{y}-\bar{y})^{2}\)</span>則是回歸可解釋的變異量<br></p>
<p>依變數Y的總變異量<span class="math inline">\(SS_{t}\)</span> 可以拆解成 可被迴歸模型解釋的回歸變異量<span class="math inline">\(SS_{regression}\)</span>與不可解釋的殘差(誤差)變異量<span class="math inline">\(SS_{e}\)</span><br> <span class="math display">\[SS_{t}=SS_{regression}+SS_{e}\]</span> <span class="math display">\[\sum(y-\bar{y})^{2}=\sum(y-\hat{y})^{2}+\sum(\hat{y}-\bar{y})^{2}\]</span> 對於總離差平方和怎麼拆解的,我在另外一篇文章<a href="https://rpubs.com/ivan0628/SST-disassemble">SST拆解證明</a>討論。<br></p>
<p>我們用比例的概念來思考,如果總變異量為1,那麼迴歸模型解釋的百分比佔多少,殘差又佔多少? <span class="math display">\[1=\frac{SS_{regression}}{SS_{t}}+\frac{SS_{e}}{SS_{t}}\]</span></p>
<p>回歸可解釋的變異量 <span class="math display">\[R^{2}=\frac{SS_{regression}}{SS_{t}}=1-\frac{SS_{e}}{SS_{t}}\]</span></p>
<p>一般來說,<span class="math inline">\(R^{2}\)</span>越大,表示模型擬合效果越好。<br> 模型解釋了多少,反映的就是大概有多準,隨著樣本數量的增加,<span class="math inline">\(R^{2}\)</span>必然增加,無法真正說明準確程度,只能大概定量。<br></p>
<p>多大的值才代表模型的精度高呢?這個其實沒有統一的標準。但依經驗歸納如下:<br> <span class="math inline">\(R^{2}\)</span>的值大於0.75,表示迴歸模型擬合度很好,迴歸方程的可解釋程度較高,即迴歸方程的精度較高。 <span class="math inline">\(R^{2}\)</span>的值在0.5和0.75之間,表示迴歸模型的擬合可以接受,但需要進一步修正迴歸模型。 <span class="math inline">\(R^{2}\)</span>的值小於0.5,表示迴歸模型擬合有問題,我們需要調整自變量重新進行迴歸分析。</p>
</div>
<div id="校正判定係數adjusted-r-square" class="section level2">
<h2>校正判定係數(Adjusted R-Square)</h2>
<p>我們做回歸時會增減自變數來調整模型,當加入的自變數越多,<span class="math inline">\(R^{2}\)</span>會越大,呈現高估的現象。這會顯得迴歸方程擬合效果很好。但實際上可能並非如此,有些自變量與因變量完全不相關,增加這些自變量,並不會提升擬合水平和預測精度,但卻能提高判定係數<span class="math inline">\(R^{2}\)</span>的值。因此經過自由度的調整,可避免 <span class="math inline">\(R^{2}\)</span>的膨脹。<br></p>
<p>對判定係數<span class="math inline">\(R^{2}\)</span>進行調整採用的方法是,用樣本量n和自變量的個數k去進行調整。 <span class="math display">\[{R_{adjusted}}^{2}=1-\frac{\frac{SS_{e}}{n-k-1}}{\frac{SS_{t}}{n-1}}\]</span></p>
<p>做一些整理 <span class="math display">\[{R_{adjusted}}^{2}=1-\frac{n-1}{n-k-1}\frac{SS_{e}}{SS_{t}}=1-\frac{n-1}{n-k-1}(1-R^{2})\]</span> 從公式中可以看出,當加入的自變數個數K越大,會導致後項越大,使<span class="math inline">\({R_{adjusted}}^{2}\)</span>越小。<br> 因為(n-1)永遠大於(n-k-1),所以多元迴歸中,調整後的判定係數<span class="math inline">\({R_{adjusted}}^{2}\)</span>永遠小於判定係數<span class="math inline">\(R^{2}\)</span>。<br></p>
<p>因調整後的判定係數<span class="math inline">\({R_{adjusted}}^{2}\)</span>較判定係數<span class="math inline">\(R^{2}\)</span>測算更全面也更準確,所以,在迴歸分析尤其是多元迴歸分析中,我們通常使用調整後的R2對迴歸方程的精度進行測算和評定,以評估迴歸方程的擬合度和迴歸分析預測的效果。</p>
<p>這邊我們用Iris資料集做個示範:</p>
<div class="sourceCode" id="cb5"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb5-1" title="1"><span class="co">#預測Length,放所有變數</span></a>
<a class="sourceLine" id="cb5-2" title="2">lm.fit <-<span class="st"> </span><span class="kw">lm</span>(Sepal.Length<span class="op">~</span>.,<span class="dt">data=</span>iris)</a>
<a class="sourceLine" id="cb5-3" title="3"><span class="kw">summary</span>(lm.fit)</a></code></pre></div>
<pre><code>##
## Call:
## lm(formula = Sepal.Length ~ ., data = iris)
##
## Residuals:
## Min 1Q Median 3Q Max
## -0.79424 -0.21874 0.00899 0.20255 0.73103
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 2.17127 0.27979 7.760 1.43e-12 ***
## Sepal.Width 0.49589 0.08607 5.761 4.87e-08 ***
## Petal.Length 0.82924 0.06853 12.101 < 2e-16 ***
## Petal.Width -0.31516 0.15120 -2.084 0.03889 *
## Speciesversicolor -0.72356 0.24017 -3.013 0.00306 **
## Speciesvirginica -1.02350 0.33373 -3.067 0.00258 **
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 0.3068 on 144 degrees of freedom
## Multiple R-squared: 0.8673, Adjusted R-squared: 0.8627
## F-statistic: 188.3 on 5 and 144 DF, p-value: < 2.2e-16</code></pre>
<p>同判定係數<span class="math inline">\(R^{2}\)</span>一樣,習慣上在迴歸分析中,會用0.5當作調整後的<span class="math inline">\({R_{adjusted}}^{2}\)</span>的臨界值,如果調整後的<span class="math inline">\({R_{adjusted}}^{2}\)</span>小於0.5,則要分析我們所採用和未採用的自變量,調整迴歸方程,重新進行迴歸分析。</p>
<p>另外,在進行迴歸方程精度評定時,還需注意如果調整後的<span class="math inline">\({R_{adjusted}}^{2}\)</span>與判定係數<span class="math inline">\(R^{2}\)</span>存在明顯差異,則意味着所用的自變量不能很好的測算因變量的變化,或者是我們遺漏了一些可用的自變量。<br> 調整後的<span class="math inline">\({R_{adjusted}}^{2}\)</span>與判定係數<span class="math inline">\(R^{2}\)</span>間差距越大,模型的擬合程度越差。</p>
</div>
<div id="r數值評估函數" class="section level2">
<h2>R數值評估函數</h2>
<p>已經有些相關的套件如<a href="https://www.rdocumentation.org/packages/Metrics/versions/0.1.4">Metrics</a>可直接引入。<br> 這邊也跟大家一起練習手刻,函式都很簡單。<br></p>
<div class="sourceCode" id="cb7"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb7-1" title="1"><span class="co">#弄一個模擬data</span></a>
<a class="sourceLine" id="cb7-2" title="2">actual <-<span class="st"> </span><span class="kw">c</span>(<span class="fl">1.1</span>, <span class="fl">1.9</span>, <span class="fl">3.0</span>, <span class="fl">4.4</span>, <span class="fl">5.0</span>, <span class="fl">5.6</span>)</a>
<a class="sourceLine" id="cb7-3" title="3">predicted <-<span class="st"> </span><span class="kw">c</span>(<span class="fl">0.9</span>, <span class="fl">1.8</span>, <span class="fl">2.5</span>, <span class="fl">4.5</span>, <span class="fl">5.0</span>, <span class="fl">6.2</span>)</a>
<a class="sourceLine" id="cb7-4" title="4"></a>
<a class="sourceLine" id="cb7-5" title="5"><span class="cf">if</span> (<span class="kw">length</span>(actual) <span class="op">!=</span><span class="st"> </span><span class="kw">length</span>(predicted)) {</a>
<a class="sourceLine" id="cb7-6" title="6"> <span class="kw">print</span>(<span class="st">'The legnth of two array is not equal'</span>)</a>
<a class="sourceLine" id="cb7-7" title="7">}</a>
<a class="sourceLine" id="cb7-8" title="8"></a>
<a class="sourceLine" id="cb7-9" title="9"><span class="co">#使用Metrics套件</span></a>
<a class="sourceLine" id="cb7-10" title="10"> <span class="co">#取絕對值後的E</span></a>
<a class="sourceLine" id="cb7-11" title="11"> aE =<span class="st"> </span><span class="kw">ae</span>(actual,predicted)</a>
<a class="sourceLine" id="cb7-12" title="12"> <span class="co">#平均絕對誤差 MAE</span></a>
<a class="sourceLine" id="cb7-13" title="13"> MAE =<span class="st"> </span><span class="kw">mae</span>(actual,predicted)</a>
<a class="sourceLine" id="cb7-14" title="14"> <span class="co">#平均絕對百分誤差 MAPE</span></a>
<a class="sourceLine" id="cb7-15" title="15"> MAPE =<span class="st"> </span><span class="kw">mape</span>(actual,predicted)</a>
<a class="sourceLine" id="cb7-16" title="16"> <span class="co">#均方誤差 MSE</span></a>
<a class="sourceLine" id="cb7-17" title="17"> MSE =<span class="st"> </span><span class="kw">mse</span>(actual, predicted)</a>
<a class="sourceLine" id="cb7-18" title="18"> <span class="co">#均方根誤差 RMSE</span></a>
<a class="sourceLine" id="cb7-19" title="19"> RMSE =<span class="st"> </span><span class="kw">rmse</span>(actual, predicted)</a>
<a class="sourceLine" id="cb7-20" title="20"> <span class="co">#平均均方對數誤差 MSLE</span></a>
<a class="sourceLine" id="cb7-21" title="21"> MSLE =<span class="st"> </span><span class="kw">msle</span>(actual, predicted)</a>
<a class="sourceLine" id="cb7-22" title="22"></a>
<a class="sourceLine" id="cb7-23" title="23"><span class="co">#手刻</span></a>
<a class="sourceLine" id="cb7-24" title="24"> <span class="co">#絕對誤差 E</span></a>
<a class="sourceLine" id="cb7-25" title="25"> E =<span class="st"> </span>actual<span class="op">-</span>predicted</a>
<a class="sourceLine" id="cb7-26" title="26"> <span class="co">#取絕對值後的E</span></a>
<a class="sourceLine" id="cb7-27" title="27"> aE =<span class="st"> </span><span class="kw">abs</span>(actual<span class="op">-</span>predicted) <span class="co">#自己寫</span></a>
<a class="sourceLine" id="cb7-28" title="28"> <span class="co">#相對誤差 e</span></a>
<a class="sourceLine" id="cb7-29" title="29"> e =<span class="st"> </span>(actual<span class="op">-</span>predicted)<span class="op">/</span>actual</a>
<a class="sourceLine" id="cb7-30" title="30"> <span class="co">#平均絕對誤差 MAE</span></a>
<a class="sourceLine" id="cb7-31" title="31"> MAE =<span class="st"> </span><span class="dv">1</span><span class="op">/</span><span class="kw">length</span>(actual)<span class="op">*</span><span class="kw">sum</span>(<span class="kw">abs</span>(actual<span class="op">-</span>predicted))</a>
<a class="sourceLine" id="cb7-32" title="32"> <span class="co">#平均絕對百分誤差 MAPE</span></a>
<a class="sourceLine" id="cb7-33" title="33"> MAPE =<span class="st"> </span><span class="dv">1</span><span class="op">/</span><span class="kw">length</span>(actual)<span class="op">*</span><span class="kw">sum</span>(<span class="kw">abs</span>((actual<span class="op">-</span>predicted)<span class="op">/</span>actual))</a>
<a class="sourceLine" id="cb7-34" title="34"> <span class="co">#均方誤差 MSE</span></a>
<a class="sourceLine" id="cb7-35" title="35"> MSE =<span class="st"> </span><span class="dv">1</span><span class="op">/</span><span class="kw">length</span>(actual)<span class="op">*</span><span class="kw">sum</span>((actual<span class="op">-</span>predicted)<span class="op">^</span><span class="dv">2</span>)</a>
<a class="sourceLine" id="cb7-36" title="36"> <span class="co">#正規化均方誤差 NMSE</span></a>
<a class="sourceLine" id="cb7-37" title="37"> NMSE =<span class="st"> </span><span class="kw">sum</span>((actual<span class="op">-</span>predicted)<span class="op">^</span><span class="dv">2</span>)<span class="op">/</span><span class="kw">sum</span>((actual<span class="op">-</span><span class="kw">mean</span>(actual))<span class="op">^</span><span class="dv">2</span>)</a>
<a class="sourceLine" id="cb7-38" title="38"> <span class="co">#均方根誤差 RMSE</span></a>
<a class="sourceLine" id="cb7-39" title="39"> RMSE =<span class="st"> </span><span class="kw">sqrt</span>(<span class="dv">1</span><span class="op">/</span><span class="kw">length</span>(actual)<span class="op">*</span><span class="kw">sum</span>((actual<span class="op">-</span>predicted)<span class="op">^</span><span class="dv">2</span>))</a>
<a class="sourceLine" id="cb7-40" title="40"> <span class="co">#平均均方對數誤差 MSLE</span></a>
<a class="sourceLine" id="cb7-41" title="41"> MSLE =<span class="st"> </span><span class="dv">1</span><span class="op">/</span><span class="kw">length</span>(actual)<span class="op">*</span><span class="kw">sum</span>((<span class="kw">log</span>(<span class="dv">1</span><span class="op">+</span>actual,<span class="dt">base=</span><span class="kw">exp</span>(<span class="dv">1</span>))<span class="op">-</span><span class="kw">log</span>(<span class="dv">1</span><span class="op">+</span>predicted,<span class="dt">base=</span><span class="kw">exp</span>(<span class="dv">1</span>)))<span class="op">^</span><span class="dv">2</span>)</a>
<a class="sourceLine" id="cb7-42" title="42"></a>
<a class="sourceLine" id="cb7-43" title="43"> <span class="co">#R Squared</span></a>
<a class="sourceLine" id="cb7-44" title="44"> R_squared =<span class="st"> </span><span class="dv">1</span><span class="op">-</span><span class="kw">sum</span>((actual<span class="op">-</span>predicted)<span class="op">^</span><span class="dv">2</span>)<span class="op">/</span><span class="kw">sum</span>((actual<span class="op">-</span><span class="kw">mean</span>(actual))<span class="op">^</span><span class="dv">2</span>)</a></code></pre></div>
<p>實務上在R中我們不會去看這麼多指標,慣用的是直接用summary去檢討回歸模型。 Residual standard error即為殘差項的RMSE。</p>
</div>
<div id="迴歸分析的假設檢定" class="section level2">
<h2>迴歸分析的假設檢定</h2>
<div id="r-squared的顯著性檢定" class="section level3">
<h3>R squared的顯著性檢定</h3>
<p>前面已經說明了迴歸模型的變異數拆解原理。<br> 其中有個問題,當<span class="math inline">\(R^{2}\)</span>很高時,是否就代表模型很好!? 其實不然,若要說<span class="math inline">\(R^{2}\)</span>具統計意義,還得通過顯著性檢定。</p>
</div>
<div id="f-test" class="section level3">
<h3>F Test</h3>
<p>我們在前面討論均方誤差時,其實簡化了自由度的討論。<br> 實際上n的位置應代入自由度<span class="math inline">\(df\)</span><br> 公式修正如下: <span class="math display">\[MSE=\frac{1}{df_{e}}\sum_{i=1}^{n} E_{i}^{2} =\frac{1}{df_{e}}\sum_{i=1}^{n} (y_{i}-\hat{y_{i}})^{2}\]</span> 而針對回歸值,也可以計算回歸效果變異數: <span class="math display">\[MSRegression=\frac{1}{df_{Reg}}\sum_{i=1}^{n} (\hat{y_{i}}-\bar{y})^{2}\]</span></p>
<p>這兩個變異數的比值可以透過F檢定進行顯著性考驗。 此時<span class="math inline">\(H_{0}\)</span>表示,「回歸可解釋變異量為0」,如果無法推翻,即使<span class="math inline">\(R^{2}\)</span>再高,也沒有統計上的意義。<br> F檢定探討迴歸模型中的迴歸係數β(就是各因子的權重)是否全部為0。當係數不全為0時,迴歸模型才具有預測力。<br> 虛無假說(Null hypothesis):<span class="math inline">\(H_{0}:\beta_{1}=\beta_{2}=...=\beta_{p}=0\)</span><br> 對立假說(alternative hypothesis):<span class="math inline">\(H_{0}:\beta_{1},\beta_{2},...,\beta_{p}\neq 0\)</span><br> F檢定量的統計值(Statistics): <span class="math display">\[F=\frac{MSRegression}{MSE}=\frac{\frac{SS_{reg}}{df_{reg}}}{\frac{SS_{e}}{df_{e}}}=\frac{\frac{SS_{reg}}{p}}{\frac{SS_{e}}{N-P-1}}\]</span></p>
<div class="figure">
<img 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1VOPqHWTsaf4/Zr15jhAy98Sb1x7lxsXiNZY9OYUjPiKx+tLPj3Edl4audL6qVT6Q+sdpTnPvmEbeIrFNYZMY4GhFZq7YE7sOdOxGvsgv6h6E7T7ohWsFB5Xh3IGhstJ/j0ommLBzYNyShCh1Ie2HQo5YFNh1IdVQkhhBBCSGus1cr9ZAgZGuQuB4QQ0hS/NeErte5tPUgX+f5oKLi3cCOd8d+jIZCDHMO37CjpJowg3QUH8QY7asAdxOQ2e0MF7vWIT637NYU7Sbn2Gv8rsx1+PRq6dz5Li9zVdjYa5gl5P74rGpaiYb/eq9zjHkzufRfbPcjkgGr38f7jPhAN2yGL2891k1b2kdyk9JejodDufh5qsFNwM9PXtQdQoGmnpvORnS03Km2FpEiCdeH+kbKdAM8Dk+4Rmfa14K65uBsx+K1o2IxprXtQybbsM1OFwnvRUJD5/mPS8j7tNdrPminLz2mxjtB96l3c5w45dOBF7bWj5iCQFym3pG6X0A5rdwfKXW3lgP9oNEwCH4BP2dHYPdUbgQP7tBbPJdv5R9GwET8YDUNgPbhbbiNa2ScPR8O/ioa4061s7zMoSIEbWT4WDUkPkIPYBXcGdmvxRneblZaUdj9EAu5WK7fabpexaJgnZD+yNaSHdHowkuZsioZoESE94E+1OLB9SXbs0rpZ/BuiISFDwe9HQ9JD2CZLhh5pfiOEEELI4BE6EZLSQZcHNh1KeWDToZQHNh1KB/TArqhyW7fkoMtF1tg00aWjR9Wl6J4xpUcPqGcXFjq671AvHagDW66y6htalmanu48HZX8PXI1dv2Prb7xEs7cwtdMMT527VDcvjw5kFOnWNbEHvfbHncNwS7zQPN8Hn34tdus8X+yLTRP2jrzHjx+vm593Ux7Y9nZ4ZT0OUVYolMzt7OqXTWdx7oSJFuWSvQPY3IYRVZnboMeb18Dl2fq7ho2mvPEplPtUylX6Hz1ua6H5je3dWrlQ2GaH2w42PFjS+szZC8HyJHGzUjmgz56/WDd/OZrqwMbBLLVZ7cDW0x0c2LXasXYg2wM7vozolss8dxoHVGV+gyruOq4P8voD31UOvuNyJ165q2/gedKI+zvizmD+/ShD24/xTeONW3Rea/HgPPD6MTNctWKs7rn858drf+XMBVN25kLttifVZbc+VS0bZFNHEXnhcpB3WmND1NjudCsHdnHXiboyGFq2ue3l9NDXfmHbgdp4YPsfef28Gmvy7dLKgb1SH8wYhr4pQs+fZHXZ5XJgV/TBO1cuq4oed3dQFgd2u4beqMLMYTOUD0u1Nm7g6Kit2f0PWDtOjNlaOE0UWdS1e6g8r+5792ywPM8O3o/HKDbQ3pp06++8OngHdp35/7NgULXfjPauvWsmbeRJe2/4fjtQB7b86+UbWpZma6GwJVieVwe6xkYrSJpMS5efAx9FeGDTkEOQsSmtlwc2HUp5YNOhtEAIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgjpD7+mvUFrruPmjP+RVsD0N0b648LLjue8aQhk3Zj/3ZGYlvGs+Bkt1uv6O1qA53bBPMEd9/nqaCisjYaC+1y+v6v1+V7tZ+xoHfK4PWYqvh/d5/27aAjc5xtBgeY1rZTJ6/ZffzeR4+SPtbc50zDE30TDEO7r8x3Xgqu0b9rRumVc/Hm/oi1qe8m3aX/IjprxH7ajieDz8bQdrUNex+NmKn68vA8FEdi/ODb+QovlffxyLC/r3qT9Je1N2jxyRSvbCuUzIJzQrrCjhX+pleVc3P32V9o/9cr6jvsChS9q/TJ3OV8XmUaFiQ8PcCsIzP9RLcow/+Na+QD76+oUPIdsowjc55FyfGm55SC0XEgXmZaKFK8xVEHiQPAPKOHXtTg4sC4MfyMaB5/WXm1H6yprf30f0frbJ/Sq0sbzy5exq7td7rhbYX+79gftqAHb7O4Xd3xU61bWwF0v+EOtW5n7+6uXlfb7tdgG+LPaF7QCXsfP2dEqf6CVLyWf57WyL76g/c1oHHxSe50drVbWABUzymU5gMr4R7RS9pfaX7CjMfJaaaPC/hY7GgSvZ7MdTQSv3f2SEi9Ew76DD8FdWlTSAg4Y6IIKFenYr2AxlGUlRWJaXqiAxwqosDHPXc5fvlNCCfusFvjP408LUu6/Xl+8DqkcG+niT2Pb3AoE86VCdh/vVtj+OgA+TCj3KyN3HSD02G6A58E2+frbIvsSHxYZR8XuV9j/WeuvC5U1QIV8jR01+K/xp7RShqG/j4D/mG7iJmwXVOZ+2na/nME72jE7asB2o0LCa8K4vA63wnZfGyrsSe1PaF/U4jnf0gJ/H3yDFmX/ykxZ/GXyQKMKG/tmUYuELUkclTeGUI4hcFy7SrtGK/Ph/67tO1LZ4o3FRr2uTUpfUtEKGJfHA0zLY92E7ZbLEGUQzQzyZYHpLHF/KcBQhY3xpNfrNmO4jwH+tI//AXMJPTZU5idoMVRhYxwVnFRK+OB+SntMi8pPHiu4490EzyMVsKu/LVL54jXL+AGtVNi/qvUrY/81IJHvs6MGzEfyxDox/oRWwLRfYX+P9t/Z0a7zy1psA9K1z09qpZIF/usEoeNLKmyAx4iyLvcxUmGDt7Xuc8g4mgSwfTdrUSYV9ndpQ8m73zRL2NIkgiFeDyplSdPCj2k/pEXZ/1d7UEtIZrgHW1raecyg0G6li4TpNksMK52+99hPSOSEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCSP+5cuWKopRSmn9ZYVNK6YDICptSSgdEVtg9dsPIiBmOFIp18yiltJGssHvszOHLZnj48FzdPErz5tLRo6pUKqlLl2plj+2+W5UePVCdLpfL1uPHq2W0O7LCppQGLRQKqcquWjWhLkTjaybH1CVn3qCL11v40KecsudN2bmLdvr5+/+ZXUb77rmLtcd4ZVnJCrvLzm8YMW9caJ5rmmUo7Yd1x+bSXlWY2unMn4qGw3cMo7KW1/XE7deo5++7Tr313rlovq681z1QXVZ090PW+4QVdo/EG1cozATnUZo3cbw+c/CQ2jQ+qs5evFQtO378uBpzKqHVkxNq58unzfjS3tvU1JZ91XkD73P3qfN6eM3qcbV2pX3NoQr45CduV0+++a6dfv7+6njWlTXMtMIuFIqqMuf/mVZRpbLMr73okPHHdVe0y82Vy7WyStmUyXS1Xa5SqS3ToWnTtrFyRBWKu6rT87MbzGMvX/aWy8LKvJrZdbiuvDK/UV32ynrlpvGx2HNjGsONxUerZcPqwj2r6o4Td1rGF/fcos5esP+JFNY/ZIY36wr0oVfOVpel7XrS7Oe33jtfLVszXqunTp58wozDz39BErd9jKTuD167Rk/fEM3Lxswq7LliQZX1UCrsQqFkNt6vsCu6ArTl9evolf7zjwS2pzK3QZ2IKsfy7Ig6fNl+MLLQvKkz9RWk6G+fO10stt+7ZGRkpFoJYj1+5X/X2Gh1/qPHbao6fim7193UI9vVwTfQ5reoX/N0tRzHzLZHjplhbPlWXXzM7nvPcxfsaxXvfOaYKR8fXa82TYzrSjE+v9uiwsawcOd+M9y6/7SaGK0dAxgvFNZXp6FU2EfvXalOB9pN/dds3Pp03XLD4tWrxqtt6T9+7VV18wfVjBO2rpCbJOxidLDIdNWSk3Z7pGxHVZ2ypaxWYeMLppa8M1En2kYVdnFX/b/tM4dRaVRMJbtx1HYNdK3+InANVHDy+mYO2UpoV1QxWytq+tF+/dN/RG07aNPM7k3j6oLzRTE+Vnu9mIfhwvaJallqU1bY+MJ4+DW7LQt3T6rzF3v4paVFhY0vTpu0bcXsVthVj96j9p+22ykV9i0rJ9QrZy/El8P8wOse9gpbXudZp4fLoJtZhR07ELRIcK7+Mma6OFcr61mFbStlVGjV7dDD0lxZlfSvhMNR6hwZwTbVKlVZtlNDad439Fxuma284/PTisr+UvQa5zeOxuZhWub1xcXF6rjbHFIobKuNbzugl9td3U7sFyjLm/nOsB0nxuy+rmT4q2oQHfWOw8KWp/RwSV10yvKqm7CHSf7p2DN1UnfapJt5ZHaDOnzisqmMjnsVR3Em/XrE0ZERVZiOP25UfynJuNsEkSfdiruZ21fY9I0KvZXH0Zq3To6rizqR7r11lXrwC2ds+dKSWqG/xDpukhpA104iEHyoOm3asZ2eIeseeMEM8cejfJFdu0bvw2gc7diybBaywu6BaVK1nAFJab+8d/VktX/xCq8JprAV6dqOT0a/QFZOND+uB92PvfhlNR59fgt3fEpdd/VKdc6Zv1LPW3fHk9Vps5wus94RK89CVthdtvbmNTf0eEp76VI1RS9Vy9asrCVG+O7Zi2qzrtxlujA1ZaxOR137ZDio3ve+tXZ43Vr14tv210ahsK46/0z05Xbl5CeqXfnuv/5q9e65WrlbuWchK+weiO6OoXKx2XxK+2WrzSA7rrI9XK4sPT6Ubcj9lhV21600bU9lhU0pTSMr7C6LPtwnGvQ2QPu2aRJp4Q9JSunylBU2pZQOiKywKaV0QNS/xgkhhBBCCCGEEEIIIYQQQgpXRcNPR0NCCCGEkEz4Be3P2NEqftl3e45oCRk47Ekx6fyAlpA8gePSJ20ZIQMJmj+aHdBoKmGFTfLIt2lftKNV3DKMb7Kjha+IhmQA+KRW2mjBLzm6/Kj2i3bUcE7rPm5YQaWN1zooYFv/jfZqM0WWGzhev1n7d2bKklQmn/NmwYTkiG+MBHjj4MvRMATawPpVUUv7m2zbr0VDIGXudrsHaCekSdsgq+fzwf52vzTcbcG8KTtaJcvtOB0Nhb+NhsPCKW2a97YdzmhH7ajhj7Ur7GjsPfq5aOhux99EQ0Ji4CCB+ODLN+4faX9D+9VaIMsk2SvwXEj6ArbZf36Z9v9wEWSbXd2KvxFY9nftaB1noyH4iBbb9lEzlU0FiucG36v10/O3a7/GjlZf08+aqfZwK+k3oyHA8bDejiaCbZFtcB3TCt8TDX9Qiz+62vkS+O/an9L+lpmyz9EunTy2Ee/TynuP/fhZ7biZqh27/8JMWWRfhbYHoUo+n66yPrJMQAXkpma32cMFBxGWcw8qKes1eF4fKXPnyReOi2y3a5oK+/u0UgGHCFXKWDcq2CxAWgNuYhPw3v2AHe0Y7DOpRJDy3J4DaSrWNBU2QLKVdbtfCq3g7vPz0bAdsH3dABU2kPW7FfY/iIZAXr+7HX8ZDV3k17Are3YsM1BhS2X9TdFQkMpYykMHDBx20n6gPxMNBf9xnXy4/iQaAv/LoVsVjs++aIiKHNuw1kz1h/dri3aUNOFtrXvs/VU0JGSouEHrV8KEDAJf1kol/VY0BPiik94hhAwNaVIrmg9YoZO8gUr5R+xo4S+0bjMa0zUZOvwzwBopzUmEDAL7o+Gfa/GfxDVmipAhBpU0mksIIYTkAGnq+HUt+qWL67SAFTYhhBBCCCGEEEIIIYQkELozL6WU0vzJCptSSgdEVtiUUjogssLuoScuX1aHT8ypK5V5dTkwn1JKG8kKu4fObxgxw5GRgpqf1RW3N59SShvJCptS2rIrJwrV8cLUTjss1MpeOnVOjUXTMly7aqI6n7YnK+wui4N45vDl4Dxxw8iIOnyp8TKU5sqlo+bYvuSU7VizKlZpW5fUln3veGW0XVlh90A0gdQfyJQOpjdv3FYdl/T88Ctnq2WFwpbq+ConidPOzbDCLqviXMWMo3JyLUfLuGUVlJVLqlgsVo2vb/jE6z58OW2StvuyNyY/1/SjbwTLaXcMfQ5umexCU8LiHnXuYqCc5tqMKuxKtSLGtIybaV0pS4UtFTPKzYHpzJPHdttyaUSd8MpG/Oeu2AqsMrdBV7BOeQY2T9uVvjWPjI3aP0WNlfnYvO67qB45dqE6vX1iTF3MeN+368FjF9XiYzep185fDM7vpvtPnw+Wd+J4YWuwnObfzCvskFIpV+Z0ha1TeKGgk7Uu70eFLVb0c/vPWURlWqz13uhGhQ1HR0YSu/WhQvfLCgWbugqFmbp5oru/q84cqltOvpxG3cq5akXNHOpdpbT7xvFqpTw2Gn/d2H53uhNlXY/dNFH3JRDbX+Kdz8SWgd2ssBf33KxePWe/rO5ZuUKdvxReri11ki4U1ofntWlwn6X0nXfYnt2JmTWJFEpl542xKdqUO+PVZXWFbcajSlN0l+mWJadCrG2jU+ZU2EjjcyeyTbvNXie6/l32KhVU8LuO17ajMHM4Nr8lj8zqbZg245X5jbF5mL7Yw3Q/Gr0X42P6GNl2UO3edKOZXty9SR27cKm6nDveqo9tmlAXogrQ7PvFx+qWSSMq7GfO1n4BZCkq7AvmPV9U6+/cXze/E1+JtrlXny/aXfmnY49ETxC/Ik60csRU0Kio6z5o7Z50oyvqopfsR3Rin4++kDYGE3d/dF8zmkYw5IlG+Xbv5tWxXwb8guiOrLB7YJqDt1FzB6V5dHKsdly7x/izH16rTp1r/1cRTZYVdhedjRJyGmcO8wCngyWOWwx3vvywevfsBTX3yqlYOUS3v+XQA6xXssKmlGbm0t7b1Dtnam39PGkmW1lhd1np9eGn7V3yZyYvBEUpTSkr7C6LE2UaVsjlWVbYlNJUssKmlNIBkRU2pZQOiAVCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghJC/cEg3BN0XDdvnGaNhv3Nfx3dHQxd3Oq6JhEl8dDYG7r9olzT6+ORoOOmlfx/ujYSOavU+Dgnvs/fNo2Ig0x8tN0ZDU49dJK6JhEv+faJgbcFv079P+WjQOf0aLD4T7oTinxYuFvxsNb9BiWfBJ7cuOWI87LRUdyrFerA+V57+OyjAeqkzbRV6L+P3R8KzWxZ325/ngNQoPREPh77T+c7qGSCp314V99b1ad18KmPdFO1p4TSuPwb4VpAyOaLFuDHuFHDN4fhmHSXwuGvqc0rqvxVf4Wy1e319p3fnTWuF7tO68a6Nhr8F7IbjjSSRt419r5bVcrcXnKHS8rNG+aUfNsj9iR2OgfJMdLXxQK+uFQIZ5xN3W30OBh7vtGP8b7d8zU5YtWne/YRl3Ok2Q6CoHtPKB/yXtY1rZUBdMh5TK2gfzGoEKJe262gFfPvhS2RuN44vFfS7BraDd+VAqNewX8XVvGgruevHcAh4DUOn6z+HrIu8LHvc1djS2jIx/ROs/FqAsVDGHlu0G2G58SbqVNPwt7ZgW/KYW25OkgMoarwUfmB9EgeZXteN21PDt2n121FTWX2tHDagMz9tRU1lLpSXgsU/Z0Z4hFTReU+h1o9L1y31d5DXhcf/QjsaWcb8QQo//fS0+D1JZ+/PBP9Xut6O5I7S9grzefxkNcQxgP/1FNI1j68e0/1gb4j9q5TPYF5DM5EWgMhOkDApumatbwaJSdBO0OwRSYQKprOUD7Kb0LMC24DmORON4LlR+v6MV/lSLcogDea1WwHJS0WFclvNdpxVwoMs6pLLGMiGSyoF8k2MZDPHLx6+s3VTdamWN1xoqzxpU1nhP8aFwfVXrVtajdtTgJmv3NaGyvkv7R1q8r9gveB1fiMaBpGrgV9ZA9keosgahfdgtsO14PtEFr8On0bb5xwv2u19Zu6kaoBzJctJMWVD259pGlTVIKu83zbar2XxU1pu1WM73F7V9rawBKjK0heHDj4rWTbwYd0GZIBWFizwOYIh1yvp8/HIsm3VlLdsjz+NPg1CyxmtDRR6q0FAxupW6j1TeUll/NBr6uNsiusiHeUobStaf1roHjyx/h5my4P0MrftTWqy322C719vRGH6yTltZ4/3wU6ibrN3lQ5U19hGe128GkfcZlVfoPe8W2B5BtuXrtG654G6v6PK/tCi7UYsvRL+yRhPe19tRA8q/TSu/Nr5L+7TWrazRlIDl/sRM1cC+lfcvT2BbxW9BgcMVLcrRkgDxGlA5/xPt/9SGwDK5ARWkgANY2K5FihEk/eLFyjgqNBkH7rpkh/mVPUAlCvB4WU7MsrL21w3wnG6yBknt1KisBbzGj2tREctrdgX+8/m6lQAq0c/Y0SpYRsAXAip5bO8ZbShZ4wOE9kkfeT4XNNW424BK9GftaFfB8xzS+s1GeE1uZf3NWtmXqKxl3H0dUln764KCu3xSssYXQ1Ky7nUlFKqUgV+OLyhUpC7ua/0J7c9r8Zq+rP0BrV9Z/3ft9XbUIOUYYr/KrxK3shawX9znwzLN/pzrB+42+qBCdl8zRGWNoV9Zy3LyusW+gzZdbIh78Ms02q+Bu8Eh/YpahmjaCKVzLI9KG+kTqV7WkyV4XjwPem3IlwDKoPsBR2WNDy/SsmwH9CtxlElzg2tScnbbrH1CH1JUzALWC6QslKx/W5v0s0yWccGHUSpovA58oLtNlslamgZQaUsljDbrF+yowV3er6wlTYOkyhp/1Lnb0m1wHKDZ4le02DaI7fKPj9B2+U0aQMpCyfq/av1kDVCOil6mQ5U1wHypoP9S6/6iyQvyGkJg/8n8/0srfyzi15SL/KkKcAzlEmzgj0bDJDBPKmaMo/1QkEpXkHEs75dLJSTl/jALUCljfRCpGPjJWua7XzaC+4HBY+QXAWjWFAKSKmt8CfipOpS0gVtZy7ZCgC9CeQyaNY5pJY3KMhjig/tT0bgka7dtt5tgu9P8wYif6BIU5MsUyusA7jg+YJh+wkzVcJfBB+2PtdKW685LqqzdZbqNv00ubvk7Wj9Vh5I2cCtrWb+sC00e7mPc58D4Sjta12aNXz3449FfPo802y6ZjyH8qmiI/SlgWhJ3ripr/LyWDYcA7Tl+GYb4EIWQZXySyqUdVWi07k5w1ynPh8pPKowk5MvFfbyMozxkiFBljdfuJnF5rqR1NErWwB3HAYcPqQ/K/D7hSc+XNe0kaxfZTrxf6HonXdTwBQDwpw+mZTkk7aIdbRm8F9J+2y9+XYvX8kNmyr6nP2dHDe7xEtpnjZI1cMfTgnW5zW34o7Lf+6ld8PoRwiSoyP7AFxRY0LohTP4HECX0EdIyqAyTmmGSSGrrHhbkA9gqoaapYQMVL5o8OqFXv8oIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCEuV65cUcPixz/+8WA5pZQOuqysKaV0AGRlTSmlAyAra0opHQBZWVNK6QDIyppSSgdAVtaUUjoAsrLusTPFkh6W1eXAPEopTZKVdU+1lfT8hpHAPEopTZaVdQ+dHbGV9MhIQRV3naibT2nevOuukjp46HisrFQqqePHL0XTS6pcLhsvXZIy2g1ZWVNKg65/8AtmuLR3s7qkh0d3rFGnz9sKefXkWHW5QqFQG5/aWR2n2crKmlJa79EdautT78XK1qycUGcvOstEFgpbauNDVFnf9882x76I4Eo9XVh3R3Ua863rzPT933FbreyGG6rLZSEr6y46Un0jm3v40uXgOijtl+P6uFy/9alYGY7VV89erJXpSn3fu2er86rlQ+FJVVq7Vp2Ppk8+cbv+wqq9RlTcMl6448n68efvV//+c1+qlncqK+suayvjmeA8sTw7ysqa5tLNq1eol0+fj5WN6WMazSJ2/qQ6f0mPP1urtIfF5+67zlTQb5+xX07rHngx9oWEyvpiNC4+f//16s13z5nx+6//CvWl084XW4eysu66FfMGH77cuDJmZU3zpKmAMb60Vz313ll1dMfm6jxU0FJJTTiVl9scMgxes3pcD59Tn3rrPXXd2pWmrLDugdgy+Gy/8Pbp6vS1a8ZVsVg05V84l11FDVlZ90B01XO/kSnNs0t7b9XH63q1sLBghihbvWJMTW15WO2++2a15alXq8u6xzXGJXEPg4XCh8wQifqt986blP3i22cCy8X3AYb3X3+1evdcfLlOzaSyLuoNLBTnzDg21tcuV1FzxYKqVCrB5WRdnZjnPxil/To0L2+Ojkyb4aBsL6Xd8GMvftkM5c/D665eqc5F89aM1z4b7uekUIj+fDz5CfXAC9m1V8PMknWljDPz6j/gMl0uSXlZlcq2PGapXH1Mu6aurCt6G0p2e0VMz5XtNlSifqPQXaZTzess7grO80VfbHfaPrZx23e74oskVN6srb2bFgrb4tPbDujh4rI48xPv9atnL1SnV+iKobB1vxk/es8qdfaCbTLDchhO6vmyX6SMduZq7PPYvjxpppGyMX3LjeNmWipyiAocZdJEhPHTgd4z7ZpJZW03uqDK0XhJa9ptdAWMaSxTq6zDjw+Vt2qayrroVILyvPKrAOk/dNBntX3Sfn3pcmheTff5ZjeMqMvO8vOzG9SJJu3f7Ti/cTRWEY6O9vMsy0X1yLFaZbV9YlxdbLLPhsnCnftjx8D+0+fV+ods0wMqbv8La+VE7b1Dxe3/6bXcvGpSKlLrx3/vneByg2ZmyVoOLgxRWZtxr7JGEwjMIkWHTFNZh1KkbGNSWWh+uzZtvy7P6sq8VhnPbthQ/XNyg/4CLB1us6KuHFGFaZuUj8xuNF+m/jKSpFFxY1iZvys2v9vKezOmv1CrX2iLi2Zams86MakrpbvMYzetUI/dvUJduLSo3jhhv1zd+b0QlfWkroAxvueWST1crFbWGMc2nb9YOw7cyjq0vbeunKi+Vld/uWGysK5WF7CydpQ3f65ix1FZm7JYZV2s/ktajMrRzFAolvRwzjzWX2+rpm0GMdtmLqhkp7Ftsp3uMhjO6cr1RCDVodkkpL9cSFNpJDSHjEanpLvKtlTmN8RSdquOOr8qZg7Vnxqc1BzSC3frn5WSnsdGw+9Fr7x7ckKdvWD3D7qp+fO7bWH9Q/pLao966NWzdjxWWVtvXqHTo5lXq6wn9H670ObxsXr1avu56IKh5+u2UlnfeuOddfMG1ezarOeK1WYQt7w6XZlTlWi6UChFw2zf0Jb+YKzUvkhETPsJJattc220Tr+t2i2TynRX9boM1iNHam3sru4yZrlZ/aHWH2ZJzhu9pg63Mu+1o84+qXtfTHu1HZ9+5FhdWVrTJGs47uyH0PxuK5UwnttWvvWVtczHkMm63trrrLUpD7pdaQbxNctUK+v4H5FoL64u06Gp2qydRG2f16nUyiV1OEom7jaFtk+adHz95XxxMadGbdahZD2rK9XLV46YD+SsTu/ywWzdI+rQpctRZV+J7QvYz2SNpg4Mx8f0r5xtB9XuTTea6cXdm9SxKOVC+/N/QV2I+qWPmD8iF6r7dPqR13Uq3V2d347yfi8+dlOsuaFXSmVd82j1D0acVSjlspzbTn2LrpgfemW4Tk5pR0nWS0v1n8nQ5xb6y+XNTCprNHvM6ReLgxyiucPVLFOsVd6oJOQD0evKGs9Vmiub7cEvAVTWKEMSdbfDHUeyPXwiiw8tmn0a9wYJNnVU5lVxl73y2fwGm4rb1X1dflOIO68fVqK2+cXF2gdnYqyWGo9snzDDkYLtWnhlYbuaLo6obQffMNML21eYISp4M79N73zm7EB8eLtqdDKMTONMRgw3FR+uLZNj3TbrYTGjZJ2PA7ulZpA+mLYy9JdzE28n6VeaP6yV2JdCZX5j014q/dDdF+Nj9lfHxHj0OnRljYoc7d2Y3r3JVuYbxmpXhGvVhbtX9CVN5829t66qncWo7fcXeSuuirrQvXM2HkZa9bnnjtY1Jz5/NN7EePL5581/VRejLnrPP28fU9MGiSzMrBkkD+a5sm61ksXBhpRdV3G32a4c+rBNz9iUj+6BeayoW023B6LTe0emH6mbR9NZWL/VDp3jBe/DlgdfXpa/NoqTk9ULOUlfa2lyutq5qJN7Gnrhhto4L+SUYF4ra3TXa3ZtENq5N27coIozjwbn0eaucHrhuJW1ex3r5eTJJ75THb3vuuqFnPBnpbtfQgEIV9p78s1368szkJV110VbfvMzAdOe2Uhpt6xVPkvVGw9AXBdExjFPKu533UulDqHXrZ1UV04+Ya4Hgivwoax6Ojk8+bzZZ+5JSNdfvdKUQTk1PStZWXfZ4LevJy6RWpg5HJxHaa+UY/XBLzys3tMV8dyr9mpy7jF8dMdVZrjjKnsVOohLo+64alV1emrnS+rK0uPq1LnBTuPjUbe/Oz71lnrgxbdNxW2G3nLu/qn21tEVuZRlJSvrLor2ZbyRaZw5vPx+ZtL8KVfNqzj3UywUbDs2XDlhK6OdL9uK/KpVE2psrKBei7pXPvvhtWa49PhtZjjIfkhX0hji84nh7desUWeiPxI3OyfbxLpTOuMTbgrPQFbWlNJEcf9FpGyZlmtWFwpTZojKGsPJor2d197b1pjhxkmcJl+/vkER7dVy1T0RFbFU1hj/zP6D6paV4+rd6I/tk5+4X+GWX+gdMqG/1F74Uu0611nIyrrbVuYbnsSyYQQnvITnUdpvW70+9b537PWex3jj3MxlZd1lm14vpEllTukgefOmjaq4bTBOnBk0WVl32ab9q1lZU0pTyMq6y85UL2lqT2evGV2ilJU1pTSFrKy7LCrmULm1dj2V8HxKKbWysqaU0gGQlTWllA6ArKwppXQAZGVNKaUDICtrSikdAAvDBCrraJQQQkheYWVNCCEDACtrQggZAFhZE0LIAMDKmhBCBgBW1oQQMgCwsiaEkAEg55X1R7Rntd+sPYcCQghZlgxAspbt+2g0JISQ5ccAVNZSSY9EQ0IIWX6wzZqQzPkl7QfsaBW37IPa73a8VUtIY1hZE5IZn9RO2NHC/4qGqKRX2NHCX0ZD8GI0BDdFQ0KSyVllfZUW25NWQvLEX2jH7GgVlI3b0Srfpf0GO0pISnKYrP9Om2abWFmTPILj8n12tIpf9udalEH+F0PSkdNmEGxTs656edxuQgACh18Ju2UYB0zXJD05brPGdq2zo4Tknl3RELytRcX8qJmySBlwP3NvRkOSc9w3De21+DNCdPEr1Mwq2BxX1p/W5nXbQvy2Fh/GQdpmkh34Q/FJ7X/SbkOBBn8o+mUYHtfiM/632q/UkpyDD7X4u1pU1t+nBfKBR5nbxce3Y3JcWYO07dfCx6NhN3g5GgrfGw19zkTDTsGfUL9oR2PgQ+7/xCZx8NkYtaNV/DLsR/nl5n6mQo8ly5xvdJTKGu20qBSSKqjMK9aUlbW7zM9EQymTaYDXIfxaNOwUPM8X7WhDunWGI74w1tpR8wF3K2lpe3TJ8oP+uWgorI+GwwLe22vtaKb8jfa8HTX8gVaO12/TXmdHC5+Nhr+slTJ8DqWrHSF1uJWcDw6yJDumjcpaCG1zo9fRCXh+/yQDl0z2RZt8JhqCr4mGWfDt2q+wowZUQMPGT2m7VVm7++sprRwjP6n9YTtaBWVSWRNSBw4e8ae1SG0YlyFA0naX83VTbVukrKxRCfvLYdrvsSGVdagnBy7IJNvtmoZm7ddu8kal7i7rp9NW+FOttEWD0DZIGdofMd5oO9MgfzhhfS6hFO8jz+/rMq1FRYbXBv5tNGwFaZv/Wi0qXAzboZuVNRL010VD/7+Ev9a606isZV9tRIEHmqPwufQlywQ5OKC8+TKOoYs/nRkttlljWfxMdHEf36iy7pRG2+k3gUhF5DZZfH80FNC2jHX6+ny1dsqOmuR8wI5WSVOJpsVNg/56Q9vWLrIupPdr7GiVU1p3f4g+0syAdRTtaJXQ45FufbpZWQM8r3zpYdxHytxkfXU0bBV5ne1Kcoy8Qe4bFXrTkJ6hvKmuHdPGH4x++zH+FJUmCrcZBL8WXDpJ1s2Wc5siwA1atDP75e2CdO4nXSHLytpdl/+F97PRsBH+vhV9JL2jYm7nz0pU0JKm/1Db7h+e3a6s0UNDTkaR/fBcNATorYFt95tB/DZr9/8lV7JM8D9MMnSbHJBiZVzwpzuixTZrfGlgm5A2pQnGfbxU1lgmqz/8UIE1qwxCr8EtQzNKJ2Bdsg3+6wo9d7vgCwHP8y+0+ILAFxxA9y85jfl0NGz3z8b3a9EUAvB86HXSKqigpZINJea0/A/tD9nRTPHfE/dzhD8b/1g7q30DBRpU6r+ixa9aHG9yfY9OwQWb0G3PB8/DHicDhBw8+Ib2255RGQJpcvC/0UWZ3zZtJOtegoScptKXSk3A/nMr+E7T7w9EQ+B+yPA8Wf6pmISb6lHRwH6S5a+JYce9YBPYFA0JaY2cV9atbJssi9Ti9xzBvG+xoy1xLFLAz39cWU3o5M/LVnDPckMPEXxR95M8HzN5An9uXm9HDbgmSLNfiYSEyXFlzQqBDCpvRUNpExeS/vcgpDk5razRm6NZApEeH4TkCVwSVY5dv3JmACHtk8PKGu3Abq+SJHjgkzziVtDuWZTgF6IhIa2Tw8oa25NWQvIGepbgT2icJYk/F+VaMfgvZaUdLXw5GvLPRpKenFXW36T1L6rTSEIGBfeWXn8SSUh6ctpm7V/hzsfvqkdI3pE/HQEui4obD7BnCElPTivrZnTjdHZCCMkvOa2sJXEkNXuwsiaELC9yWFl/JBoCNIe4CqysCSHLixxW1miPbnazgUFsuiGEkPYZ0DZrQghZXrCyJoSQAYCVNSGEDACsrAkhZABgZU0IGVquXLmihkVU1qFySikddFlZU0rpAMjKmlJKB0BW1pRSOgCysqaU0gGQlTWllA6ArKwppXQAZGXdIyvzG9SGkRF1+MRlVSgUg8tQSmmSrKx76EihYIbFXSfq5lFKaSNZWfdQqaQvXQ7Pp5TSJFlZU0rb8q67SurAoeOxslKppI4fv2TGy+WyZ3xZ2pqsrCmlLTu182UzXNq7WV3Sw2d3XKVOnbeV9JrJMXVl6XF15oJeVg93vnTKlP8f0ZC2JyvrrlnBRaVSG14HpTn06A615al3Y2VXrZpQZ1E5O2Xww2tX2UrbK6ety8q6i46MpKuIWVnTQXNCH7NTW56KleE4fuXMhVjZ5BiP7axkZd1lbXJu3FVPeolQOkhuXj2pXj59PlY2po9lNIvININIdrKy7oE4YHeduBycR+mgef5SNL60V+1796x6dsfm6rzb1kyqC9E4LGzZVx2nnZldZV2pxKYrznivzGtlXZ4dMRX25cC8vIrtnZ55NDiP9sZCYb1aXLhHvXo23rTQiStGbdItrH+wbl4a8YdioTClFhYWzBBlqyfH1NSWh9Xuu29WW/a9Ul32w7rintr5UnWadmZmlbX83KnMFc24q7sMLJXmzHSxWKyaReWe18oapm2/FjfMHQ6Wd8O5w+GTdO4aGw2W0+64cM9NOrXW/wLbuv90XVmnjrZwLNJ8mE1lXZlTpbKtjFFZo+I1FXOxVFdBudMyXi7px0VlnZimsnafvzhnKykpq8xtMOlXpmWYVZsy1lcozATnuRZ3daM/6pHYl6Mo80f1l0l8+Stq+tE36sq65Y3jY7FfHpv0NIYbi3lI94vVY6Fb3jw5YU6WWtyjk3TUBQ6u6MIfdEfvXR0sp/k2k8raVkLaUtlU1nO68sX0XKVW4ZWiygHTtqKoVeT9qqyrZUWb9OvKq8vGm3g6Ees8HEhPYj//bCzMHKqOj0z3tpIc874sQu9TX1x8zAz7sT33rFoRLO/Mo+pisJzm3UybQeZKOlU7ybpYsJWzv5yUybCXlfVc0bYfu2V2m+p7bPjLVdW/JOxj4l5OcRq5tF+H5kE3eaNSdyvvQnFXdbxVR0dKan7jaPVU99A2yHNhOXlN/jKZemS7OvjGRT2O5DpdLa9UKmrbI8fMMLa8I7ZVttHVXeaxTRPqse0T6sKlRfXGCdvv3Z3fip08trm15O62T8trWv/Qq9UyEc0YMt/VX66w/iEzXD05bqcbLHur/nJw5yctR/tjtslam6bN2h/vZWUt4rlPBMoaTWdlo/X6F3maHR2xzQNHZhP/oNyol8E6feuXPaJ2RacCHwqk+1BTSDd1t3HbwVoldcRUsNn0ntm+Ylydu2Bfs/uFAG+aGI/tL9FdRkwqz0J33Vk/Dyr1YxfwhRie36pXXXVVdT+1Y2idNJ2ZVNY47x/DShnNCWWdiOZUWU+jWUTeIH/ojvejsoaFQileVi6pw046Tjy4OkjWWC5ULhZmvD8WK/Pq+OXL9eVtWpjepUZ15R6a19vK+ki1gt5947i66FTO42PO9un0XR13TJOsYe2PtEX1yOvxPsGtGFp3Vhbu3F8bj5JwM9Mma3jv6kl16lzzCpvJOt9mlqyRqFHZlfDmRpU1ylAR+8u642Kv26yxbTZZl6t/NPrtxe62ZuHIiE7JTSr00HO6ZbgutjuvVbEuSehuG7XMc6e766KafvSYGd8Y/ZkYaqKJVdxtKOtauHuFTutX1LHz7aXMbu4bdNHDcCLqVpeVk+N2fYt7blXnLoaXoYNjZpX1FZOqka5tWkVZ6AB3y2S8X8m6p+qEnOY61rhBQbzsSKyCH62b35ozh2o9DY7HmhqOqEMXa/N64uJiddxt4ikUttXGpx+pjnfqZf0LJVROOxdnLrrT9mSYpdgJMrQzM/uDMQ/mubIOfXElKQl/poRmmXgFgz8g59s4G7IwPWOslukvj1gFOd3+n5dZurh7kzp/sfb6th08rybGveYqmjvlBBnIizd1R1bWPbCVinq5m/QnKs2fm1dOqIuXrqi9m1dXL4N6ZWnJXLypUU8e2p6srLvsbIp2avT4CJVTml+XqpdJxbWs3cujMpx0R1bWXbWcqm+0/8cmpXl3x1Ur1dnoT0v/MqjuxZs2FR+OzaPty8q6iyJhpDX0eErzKpo+Tp+/ZC7sZP9cXDLlS3tvUy+dOmfGb7t5o5qamlL7T52pPo62Lyvrblnx7z/X2OA6KM2xS9V2aVtRw7WrJmo9QJYeV+fkcqq0Y1lZ913+EUOHR/dXInqFuPNoZ7Ky7qMzuw7rg7vxXWQoHRRDPUDcu8bQzmRl3WWlJ0hSGzUra0ppGllZd9PybLjckZU1pTSNrKy7KE4dr8w3rrBZWVNK08jKmlJKB0BW1pRSOgCysqaU0gGQlTWllA6ArKwppXQALBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQsiy5wat0n61mSoUtmt/SYuyc9H4N2kBpmESeEyr/ow2LVgWj7nKTDVHnkOWx7ZLWRrzDrbxi3Y0xvdpMe/90bDRPj6rDb1W2dcfMFPpwb7G4+BaFDjgGJN5SfydVpZp1d/VpkGeY8RMNQev6bu1d2kPaP3n/ag2a/Cc3xjZjFaWHWZwfOG9fdNMdc7faD9nRzvmlBbHyriZIv3k27Q4Tn7ITMX5Ky2On7R1QwisA+/1CjPVHHx+v0s7q31G+7dat375eW2e+QYt6p5RM0X6zQlt0vH3Qa0cV6tQ0AZ/pu3k8csC2cnir2nBy46/oZWg5YoKwQflCLAIIq4of90r+9dalPvBDwFJnqMd5UeCgB8GKMePiNCPA3ltjQJoXnBDVJIArwf7EdPy+tz5LqFw7YbgJN0vH/mB1q5pwRdi2gD9vVr3OPaV5w7NE5O+YLEd/o8aPJ/7mlyv1vqc0WKe+xwS+uEfafHDVsI8jtt2lpXt+lkzNTw02t+NHNO6/KQW+y4k9jH2ZWgenNL6IETjMah35DOXVp/3tNhmN5BLcGum/zq/RxtaTrxWC2T9/uOHiaRw/Qdaf7+4PqUV8B0WqjNE+Xy+4pT5JoXvv9T6AV++R0Nep/X5shbzJs2U5S+08pjz2kZhWPaRLL9JK9yvlXL4K1p8Hv5HNO0u++dalKX9oUEKhStad/+6/p426XtJCIXrF7Qow/uO+mSNVj7rv6D11/ljWnnOdvwa7bIHOwLBV1o7gbuTJIz+qBbTWA7BIhRy3OVdUO4vj6CI8qRQK/Pdx0lQdIM9fhD4ZcLeaChg26Cs++Na/wtOgmJewzZer+xjbCdE67KUQ5RJ+PsdLaZ9HtOiQpR1YBz/WsjrTwqxsr5mH3DhI1os77diN0KOxc+YqRqo7P3t+rQWy64zU41pddsFCcJJYp/LNruVimybH65DwfpTWpSF/onwaWVZMIwBW17TejPVnN/SYnk/NP6mFuWhoJHUcv3tWjzmB81UHAnXP63FMq3obkMoWAP5QvxaM1UPtk1C0b9EQYSE6zStssMasFHvo55D6zBe329H09jH70Rl79P64HFoTf45M5XMZ7VYR6tBUp47SQQiOd7/oVb4pBZlfrgOBWsg4Vq+M1/Uho4FBC8c+3he2TY3MMvxgRbrNDBgt4aE628xU+lBgMaPNvn8v6r9e1q8XxhKi7Pr/9Qi9+DYuE0rSLj+x2YqPf9Ri8ct+3CNX8PYsS4SPEV8UaB7gb9cCFRUIh6L0O6WQQl/Mo1K38ffBsEP1zINpdXdRVqtIZbFc0N//SHzHq4RguUHAXTDNcRrwAdNXg/GURn7+C3X2Df40SGPEyXI/akW036lLMeIr6wL4Tc0P4lQyPfDtWx72q4rSdveCvJjAbo/GOTLr1m4luVCXUnclqI7UNAAd9kPoaAJf6LFsqFW9EFE9mOr9ipcyzGGzwXeK3/ZX9ViHaFuIhKE/62ZitMsXAO3lVpeVyvhWrYZX9bDSKjlek6LsC37Tfw6reyPZuFaWr47+VHyE1p5bvk3AUjLdbNwLcuFupJIuEbo/v1oPLQcWs4xb0IrwdgN1/jeRhmUltBGYP/hx8n/re2k7l0utBuugd/ijK4bfkv4Zq2/HEJ2qA78Ku1LWvm3RZTHuWWoS5sdC8sC+esfQ3wZSMvbLdFQxDwJpvIYCacScoH7mFZ1gyzCk1smoVG2T/S3AeEP0363EBesB8pjQ+FfKo68hmsX2Tc+CJ3NWq6FpD7XSUhAdZF1tKsETbwvoQAu4gsOx0dontgIPB77JfQ42Cx8y76EWI+87u/Xpg3XaUKuHIMi3uOkbUq7rPwo+AEzNfjI/s6q5bod04RrHNMIPEmG3qs/1GL915ipOGnCtdt6La/XDdy+ocD911rMC33hDjqN+lyHkHD9w2YqGbw32JdJXYIkfCO0hpCWb3lPpNUYz4tjBePNwvV/16LsejMVxw3XQKa/3kxZ3ta6jw+FawEt13I8ijPaEBLYGb6a06hbSKPA/eNaLCPfSz+lRSMN1ocug9IVxA3XCN/oRpIUroG0RksjlqznoJkiTcHOa0UJbyEkvIYCqoTgtMi6ZH0YSot0o20Q8EUnz4ehtHxivYK/TahM84h8QeI1SaiSHwgYymtICrtuq68QCtf+40R8uELLu3TSOtzNcC1Bt1ErN14b9q2PtKLLPAnpAn74ZRmuXeS5YaiPr4u0qIaWle0blq4heW25RiiVsCoBtZn+NnUarqVLidtHuJWWayDP00krbF4Jhetf1uL1+mJ/yY+VRuFaHo+W7iQQlkN9nWV7ZJ7f5xo/3rsRroEcoyj7r9F4qM90KFz7SDDH6/CPG3YNSU+7Ldd43D/S+n2uO2m5Bjge3fluf2235VrE+XTLHtmx6JuMYIPwgL/xXdxw6wZSF4RRtzWmHX2wTfK8goRr2Q43eCBw+8jyWE5avjEuLfASltxwLcvlteUa24zt9f9pkNcKEBIl/DVquXa7zYjN+kb7wdJFgncowLbT99oHzx36gdAM2a5m/bKx/lCYQkh2tzu0D9KGaynzW5BxpYAk8Hx4jATmVpYV5C/vYekLl3XLdRbhOqlcrv4wbaZqVw5JCrrSZSQU3huF63+vxTzoBmvQSrhG/YptThvEB43/pJX9BJt1f8H3E5ZLCs7SwrzRTCWDIIt+zj4I5m5f70YnNDYL11L2I2YqTihcS5cNlEOc3OYSCtcIcCGkwccP1whjeO1vaYfxeMqadsO1EDqhEceU34XnqBbLJeU6cFmLZeAFLR7PlusWwM5F6MRJbrIjXRHoMA9BLql1EOvAVQvcx4UCL8qwPnc5VPyCzMMJlD5+uHZB6MI8CcUSoCWMYRyBSE7MRJcKnHTk/q0uyPM06mLSLyRc+++DH67lNfkKaGF293sSeL/kB9BrWqzD7y8sAR7bBkK/ZuV9Dc3zTzxNopVwjWNEgmboMTje5XW5ry3NiZGNwnVIv5Vatsv9opGTFENi37W7LJDPQtKPokEk65brdgyFaNn/CNr4W1ZaoZPE8/8bLepW931DsMd8P/RLuA6JL8+v0IZoJVzLVR/+gZkaHhAksb/TtMbj0nioF9AKJ+HTDSaoX6TVNxSY0RqNY1Tqly9osWyzAA4aheuQ/gmN/0uLcv91hsI1kHWHTnAMhetGxyC6Jvj8Ny3mpT0BcrmTZbiWAP0x7bdq8d2DH0dycuM/0cr76T6fLCuBGuAEafeHmKv/nY7PGbsAZUQo8BJCwqDikh8j3UR+ZAxTsF4uuGG9V+DSq/iyHLZgvdxA8JduJv3kv2hxPDFY5wtcPYQQQoYStCbgn5NOuso0Aq2nWP83mykyiKCrB97DpBbpLEF3CTxXL8M86R7o4oH3M9R3vxfgRDg8f78DPiGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCEkY65cuaJoPv34xz8eLKeUUkoppfmU4TrHMlxTSimllA6WDNc5luGaUkoppXSwZLjOsQzXlFJKKaWDJcN1jmW4ppRSSikdLBmucyzDNaWUUkrpYMlwnWMZrimllFJKB0uG6xzLcN2JFTUyUlSFQkGduHxZbRgZMeOFwkxgWUoppZTSbGS4zrEM1507MmLDtZkuz6rCzOG6ZSillFJKs5LhOscyXHdmZX5DLEyPjozUgjallFJKaRdkuM6xDNeUUkpz59JeNVooqPVbn1KXLmF6Sa0YR7e7gjp7sbbc5tUrTNmrr18003vvWW2mtzz1bm1d2qW9m235zn2qXC5rd6uJsTFT9s6ZC7FlKR0EGa5zLMM1pZTSXBkF66feO1s3r3LpUnXcBust6qIzHy7pIH7JK9tx1SoTpM9eiJdftWpCl0+p8wjwTjmleZfhOscyXDe2Uql0xdBzUUopta6MWqmfOl0fsMWjO9aYZQpT9QE77pKaHCuoqZ0vx8qX9t5mHr/vnTOxcpofr1k9bt/jdR8LvsfXXb3Szi/coc558+6/7mpdvk6ddv7p+MTt19aVwWvX4Hni6/jgtfb4+tJp+69I3mS4zrEM103ECYrmg2u9fDmwTGrLaiRaz+FL7JdNKaXNvGVlFK7WP1jXGi0uHd2hxqK69eXT5+vmH91xlZk3NVVUxaK9wtPUzpfqlqM58+QTarzwIVW+7zrznr13Pj7/6pUF9dYXHtPLFNQDL74dm3fl+fvNY558K949KOjJT9h1vPCleHm0jn//Oa88JzJc51iG63SOVC+zV1DFXSeCy6TTBmyGa0opTWnUTeTBl0+H50duXj2p6+j6Lh6rJnTdvWWfUyYt2QzYefa+69aqD33qrShkF9SLb8s/DM+plXr6vXNX1O3XoHV5nTrjtURD23KN7+116vS55Nbn+6+3y72r1ydlJ6NgXRe4cyTDdY5luG7BTFuxKaWUxoxC9JnztX7VcO9mnKS4vhqa0dd66sF4Fw8JzDu9AC4nMu57N969RPpgn/Kei+bF59Skfn++fMaG4rWTBXWHDtonn7hdFdY9EHURed6E7Due1AE89ljPqGUa7/fbdV08ZB1vJkzn19yF63IlXN6eFVUuD24fWobr1nVbsWcOswU6SytH5mP79zhb+Cldhi6Zc1OOHz9urxQSXAYnLlbUwsKCXpYBedh84juvUes+9mJ1+vZr7FVg1j1QK3vi9mtM2dtRAG9otetHvPvIJz6IPtjxftXP33+9KXvhS43/Kem3uQvXpaK0PhbNdGXO9sFCX6wkMb9Urq2jXJJ1xHWXqbecYpneynDdpn4rdmgZ2qFHTBeaS8voH4Ldd22s9su/0OCHxfYbbT9U3MCo2bI0/y7cc1O1LkEL7YWEY37PLej2YJdb/9ArsXlH99xtWn1r67GevYBjY1FNjo/WzbOuV8cupAgnlPbMk2r1eEG9+OVGJ5qeVGtw0mu1FTuy2p3DDdF22XUPvOCU1crr1oFydCW6wS/Pl/kJ1xVc2zJuRZdLuMYypViloy2VdXnFjKcN16FwbpXl9LhZr7NtfTK7cG33UfV1Vew0rF8muumKXkaChBtOS1HL5Zy8T3Nz1XXtOpGvEBFvxe689cTclEavK9jlpGLDJo4fuVHN7Ab7/DO7en1XSNmW5k7vOh577PxGfMlPNwnNFTWqg+NyCtbi+Jh+T7cdDM67srjb7PdjF9hSN2wu3LNKFe7cryZGEZxfrZu/uOcWVVj/kJrQYcCfv3JCf6a27o+VSbkN185yeh3xxoCj0V/mW3MdJCilcXPZ51q++DFeH65LtWVaDNfu8kkOY8u1eW2BHwzuZedMGJNg7ehfmq4yZwPmCS9YlWdtkDyctzsgxlqxi223YuPujkUviA6zCM+PHq8PiRtHR5dRd5BFdaP5saGPnelpdfywPZbOX/Rf/6I6Mn9X9QeN/GAfphbrxYW7zeu78+Fj1bJNN9qbfDxzbPhv8iHh+srCPeY1749d9WJBB2C0aC8Gw/ctK3Gt5oJ66JXky9bBcLi26yxsfdopo8vVqyb1sbDu496VWZbUKv2j7uO/945TRvttrsJ1tQvIXC3QdRKuS6VSVVm+rvU74Fym/b7bN6twXS5JC27R/BvQ7jIwKVxviFqJm4bXSq2lO41ZnZiIcCzrbLWFfd60QIeD+ezoiDqs12fX7y1TmbfPd7yXIeuIGpnepSrRj4pdXkDeqLcXLdNN36cjd5nHX6wGRNtaLftQrM0fJhfVmH6t2w7GLxtmWq2nHwnvu6jV+sD5nPyFv7igZp36r5kX6n4w1LtwN7o93KnGx2dqX+6Lj5nuDg+/Vn+JtWHShOso+Er3D2l1XjFWUKfN+x4O1+I9N9u7FcL1W/0QHYVrHdLte7JRjSJUr9+a6r2hy8OrV40HwjXNozkK17bPsytCbjvdQlyLZlkbyI2V+I1CzHqKc9XpPN1EpBt9rmt92guqHJjvL3PYC7cSrmM6+y/PlmdtK2Sr4dr0nZ1p0rUjCtLuZfwQvFtp7bbB19u3Sc4cCq7D1a5vxvkSb6WftA3TM4eWX3/PYNePJl0+tk+gn3V9d5oj29FquU2dQL1zZLfZp4PabWTFuN4vdz4TL1+42xyPz5wd7tZrN1xjetWKMTN90+SE04rdOFy73rPKBu1XnP1W13J99F6zTNpW68XFRfP9lcq8/cNIU1kXrp/7cX2MrFNnm93BcsleLq/6/dHE//necP9Y7oUD0y0k3j86LubHwnXUOooWWBuui1E/bhuczfqjQFg3Hug+0S+7eUKjtFSXGwQtWcYN2KGWa1mulObqHH1qubYnl7XXLSRVuNaa1utoufkNo5n08+7II7b1+pL5Iq2Y15F+fy7XcH3EtMQ+EuvqYMsQksPHT+gx1onx0Vhr9u5N42r6kVrXCvGuuzaauuxgoCvO4uKC2rhB13Uzj6oTR7arYxfTHVfBUJVg089FFKJf81rmV+BEPD9wD6F+uJYgfed+94oFoXBt+0yf967za/po6/KG4Rou7rHHnl9Ol6V14XrpP+jjK0W4zsj3ve995rjNo6Ht7ae5C9fuzppr9zJ6gXAtJyxivln/sgnX9h+BE175XNEG4tgyXvCai07Ic8tCgduUR32uO7uJS/bKSYidnGyJFuh4C3BYea6iDtnHnZYhU54inHdDBP6ZXbtMVxG3vDK/sXHrd9QtZDlebu/GcduX2DqtLupjffuElI3UhWgEZszDcm65tHbLurY9crDuGBrXYex8FJYXd2/yup0smGB1Ub44zfq29eUv4ZtW2Nc4fefDphV+9/YbzfRyOHnTvQoIusWE97+ceBhZPYFxUd2t95X9cVZz64HXnPc56lddne+fvOjM73ff66WjalN0ZZP1D34hvIx2xy32ttdjY3a7T/N61ZnYdrcQtlz33NyEa2mhjoVbXYmXopbp5tpL90EpK5ZKqhLoP21ba5xldbg2VyfJSV9rMeuWa2mlCs0T0ywzKMql0LJo8cG6mrZEm5bi+tZxBNx+hdRR/cPA73ct5Y22CfOnH10+J3C2r+2fHWqNRleRbQdqXQawnARpuIAuI9sOVKd9t+tAu+3Aueo0Wokfeb2+dbzrLj5mfiT4rdZ0ebq091ZTr753NnA8LO01tzoP3eacdq45obGHLdW0fXPZLYRau9ktZJiVFuSsbyJjWrCLTgt2ZT7qCmMvWxi8Uorpi20fM9+DSxXObthgun6YS+pNJ7S2620aSdomM483iGludIUQHZhD3UHkWteF6W3VrjjSwn3Aae2tLocW8rp9bgO5zEMrd7UVu4fevcJe7YLhenm6dPQee3KlPga2PvyMWrVSH7Nbn/KWW1ILj91jgjWWky6bbLEebnFnRlN/fehTwfnP33edna+tu5lMdOOYdXc8qS6i29TJk2rNSruse6tzeO0a1JM3qP0Ha5dqLj92r5rQy97w7z8XWzYvMlznWIbr1pVrWwdDZYYOS+s+zacTYyOxS/mh7/brvH427aF7b11l6tJzTn9xabX+wplAy3TUav3Ue40vOUiHRdwCfZ2a+2e4E+M6dcY7r+C+665Wdzz5ZPgW6CdtN5Un33o3Xq6tXPR/xCff8vz554+qc+fy+aOf4TrHMly3YHTpuU77fNvL7s0E51FK6XKw2vXDCy634ion6x8M9vndsQb9rKfU+cC/KysndOh++XXTKHHPzZOqMLWzL+cO0Oys3gL9ufvMsfKW00/7mjXj6sW3zzS8BfrVUSv1k2/XB2zX0C3Qr10zEZvOowzXOZbhOp3V1mr/hLI2THtlEEopHVbvXY2TONfHgvK9JjwntUzbEzoffNm9ekrk0R36cVuckzSX1KS5Nnj8n5ilZ/eqjRuLqrjtYXUhENCXlp5Vm6L5xxc+rF45UzsfgfZedAmxgdreDv2BF3FLc3vLchum5bbmOoAHHi/+s6vtcVV/m3OrCeF3PFmdfv7+62PTeZXhOscyXDcxurZ01ubtiieUUtpTl/bGrnCy9akzulyuiLLe6AbvvZtXm+XOel0D4GYT1GVdU+p1r+/+0R1XqcKWfdXpNZNj6qVTbreTZ03f2jMXoumlx9WYDusXqvNpr33uvvfpMPyxahi+bq1+j9et0+/vHep8VCb9rd96L8WPoKj/9QMvIKDXyk2Q1uVvvjt4P6QYrnMsw3WyctJiN+zksn2UUrq8XFIrRgtq6sGXA/OOmmAsoduE8C3xkyFXTRTUu6Erj0R+eO0qtWVf7dbea1dNqJ0vnYotQ3vrNavH1afeeq86bbp/3BE/qRFdQ+pao6O+1n43kU/cjq4f69Rp78eZOZEx0KJ9/dUr1R2/Wt8HO08yXOdYhuteyhMUKaU0vUtqYfd2cyWRYHeQJR2so+tcP/WqdCWxXULQ57oamJzltux7pfb4qtFjClPqzIVLJoxXW7HpgHrS9L9/44037JVCgssMtgzXOZbhurui9Xtm1+Goe0l7d2+klFLaHdFF5JTTN3vNqgn10in2tab5l+E6xzJcp7P+tt5lc61mt6tHXC9IM1xTSimlNCMZrnMsw3UKcQm+YvzW3i3LcE0ppZTSjGS4zrEM183dMDJi7oxYmZ9tPxyba2QzXFNKKaW0cxmucyzDNaWUUkrpYMlwnWMZrimllFJKB0uG6xzLcE0ppZRSOlgyXOdYhmtKKaWU0sGS4TrHMlxTSimllA6WDNc5luGaUkoppXSwLJD8gnAdjRJCCCGEEEI6geGaEEIIIYSQjGC4JoQQQgghJCMYrgkhhBBCCMkIhmtCCCGEEEIyguGaEEIIIYSQjGC47oh/o/0NO1r4Ju3L2m82U4QQQgghZPnBcN0xf6f9fjtauEH7RTtKCCGEEEKWHQzXHfF9WjdMn9V+wI4SQgghhJBlB8N1R/hhGtPntCNmihBCCCGELC8YrgkhhOSQL2vx/fT3zVShsF+L6R8xUzXe1qL8a81Ubbl/ZaZq/KX2vPZ7td8d+ZNadO37BS0hhGQDwzUhhJCcgWD9ltb/F/DrtW4ZgnWa5d6v/VutH7jBB7VjdpQQQjKA4boh6OaB/QNf135jm96iddfFftmEEJLMJ7WoK9/QNupm90taLHdc22i5/6LFcivMlAUt2e40IYRkA8N1U3AFEOwjca22XfB3JNbBcE0IIc1BFxB020C9eT0KEnCX+0oUePyVFt1FBIRyd5oQQrKD4To1bsvzZ1DQJi9pGa4JISQ96P6B/tKjZiqZ0HLSur3STBFCSLdhuG4JvxW70d+QpDOu0qKfJCFk+YC+1j9vR6us0f6NdpOZsiBE+ychhpYD6P7xotavr/9cG+qDTQhpEwlJv2am4uBL3Q1Qro34XS2W+RkzVUPKQ8/Vdxiu2yKrVmxSzy9qr7ajhjPan7WjhJBlwjdo/7n2q81UMmmXI4R0EQTn0AlnKJcQLOEaNwgREIz9EOq3YrZqLsgwXGO/4RrP/uv0f2z8tNZfBoJGP2zEvPxI6VYrNoI7Tp4cJHAbeNkPfxgNf1kbQpb9FjPVGHxhZrlvs+K0ttF2Sd96/DWNcV77PH+g3kcr5z8wU/kG2yr9iX8OBQFwWTnMh1+HAofPalH+v5mpQmFe66/rD7Qo+9+1cpk6+NdalPPEP0JIQ1BR+IbCdUgfnNH8ckAJmaF5EMEsF2QUrhGgQ+tBuRuusUwoHPuPxTTeDx+sK2//ALit2B9FQZv8jnbQbp2OHwHNQuMe7ZQdjfHtWuyzpD6UuGyW24KdJ7Bt/8KO1vGkttHrIv3jp7Toj/sV0Tjep2u1gwB+COCYwza/DwUO+M7CMSnH3rhWwI9clIXCsXtyNq73jOWuM1Nx0DpMCCENwckNvm64bmTav54kbGK9uSajcC2tuPhR0QgJouvMVDJYxg/XvxEN80inrdif1iY9zg3v7pch+iNLa1Y/WkXd1/w5FDjI62nWZeZTWn/70dL7uFb+VcLz9LPrzatabCNa3GUc+uFZgo1vP94bF3e7prUSxKRMbtDRTdznRLjFPsHnWbZBynrJIIZrBGRpYXavy4wrYSBwSwu1G66BtD7/WzMVJhSusb6NdrQh36aVuiiNk1pCyDIFlYC0kqKLCKbdcB3qAtGKbotu38i4z/U3ad3XmPTjAi2esgxa/31Qjv0rP35kOu9IEA61ujcCX0zNAiSW8UMsyjq5NGAWSBcIt5UZodnf1hDS7SPUst1vpPuSf3MJhMSkPuCyL/J2Qwp8DiX8uD8K8Fp+0I72BAnU/9JMWeRHYtFM9Y5BDNfSYo0w/YIdNWFbAnBSuBbQN1l+5PjXjw6F63e0acJ1lmAb+ikhpE1CHyg/FDYyBMoR/qTFupm5CNagiyc0SnBqFjT/VIvl3JCY5nFJSItnGrP8ZwHdOrDd7VxmD+GiWZeSj2ixfvlCDAVrXOavH2Hb3X4ETDdYY5uSundI6MvbCYtJ25UUuAUEoDQ/KtIQOl6TbMavav3tDpV1GwQ7N1iDfoXcQQ7X8oPkj7VPoSCiWbh2QWv2m1qpTxp1C2kGW64JIebDLcFNwrAbsqSVGsvIX99JJ5jhcZgPQ4TWnysyCtfoK+yeACpg3bKvJWz7yD5KE67R3SBvfa7lGOikvzS+mNL8mMBy6FKDof83OvZNv/pso6UaPy7xA8D9kdBsm6Tf9deYqfyAYxX72O1Xje4VqAeSwrO8FjlpzAUnhuFHBvq/9rr7A0Co9bsEhMq6iYRZN/jhs4Pt6HWrNRjkcA0Qht1wDCRcu/2r0bKNy9C5YL9jfT9spizSN9sP1xKceUIjIaQhqEAgTiyUrh1uy3Wo+4HbvxQVkwQqiHlAptOai5CYUbj+Hq3sS/GPtNhPAsYPaN1l4I9qBXe/JtnJSYNZI32LO70pjBxfzVqd/0SbFO7QJaVfIVV+OPkt1LiMXqNtwvysWnqzRsIy/Eco0EjL9TGtH5JxBRF8BtxyBPJ9dtSAQIOT6XpJKNSCL2hR/oSZ6j5oKUVruXRLgN+v7TV4D+T5Xf2gOmx8lTbtPx2DAq51jfcuqaX+u7TywwDjaW5CQwghndPFbiHDDirt0A+xdpEfFqGgjnl4vqTwjXCb5ba0An5ghAKybFNSYEHIGpZrhCe1WuM15q3/dT/Aj+9GIYiQdsAPNtz2PIScq8MWd0JI72G4bhlprW52xZNO+HXt57V4nkYB1aWXdzP8bS227Q4zlYy/TRK4MRwGJFSHWrIBWgnxowjL4PrByxWcgId9APljg7SD1Ieoc/CvsxxPE1oXCdW+/GFHCOkdDNctkUVrNVqhexmECSFkUPkJLb6j/JMgcUtz//bnArqA4DErzRQhhPQahutUyJU6smitRkBPc/IiIYQsZ9Zo0Uf+581UDQncSeH5z7U4iXOY+9ATQvIMw3VT5G/9TpHLZ2FdeTopkxBC8gjqTJy34Parxn0RcNWepPAsVzcJ3VXyg1pctedXtDyxkRDSPRiuE5HW6m7Yzf7ahBAyLLjX0P5WFGik5Ro3wvFDMq4g4l8VBP2w99tRA7qUfKUdJYSQLsBwTQghZAiQIP71ZqoGTqhl/2tCSO9guE4FrsV90I62zGta7ON+XSqPEEKGGQnVx7Wh7h7oIiLXN9+GAkII6SoM102RvtLu9adv0eKue0niiiAuuEkMwzUhhBBCyLDDcN0UBONObyvOcE0IIYQQshxguG7Kn2o7PQGR4ZoQQgghZDnAcJ0Kv5sHIYQQQggh9TBcE0IIIYQQkhEM14QQQgghhGQEwzUhhBBCCCEZwXBNCCGEEEJIRjBcE0IIIYQMGFeuXFE0nyJch8oppZRSSmk+ZbjOsQzXlFJKKaWDJcN1jmW4ppRSSikdLBmucyzDNaWUUkrpYMlwnWMZrimllFJKB0uG6xzLcE0ppZRSOlgyXOdYhuv2rZRnVbFYUpcxXSmrDcWiOnzicnBZSimllNKsZLjOsQzXnTkyMqJmDkeBujKvCoWZumUopZRSSrOU4TrHMlx3YHk2FqY36KB9+BJbrimllFLaXRmucyzDdfuaMH25FqYxXSgUbTcRSimllNIuyXCdYxmuKaWUDo1Le9VYoaCmtjylLl3C9JKanCiogi47e6G23G1rJk3ZK69dMNN7711jprfse8dMrzKPmVIHDpVVubxbTYzp6S079Tim7zbPUdiyr7o+Snstw3WOZbimlFI6FEbB+ql3z9bNq1y6VB23wXqLuuDMh0s6iF/Sw2c/vLYasiGmEbzfOWODOMQ6Xjp1rjpNaa9luM6xDNfJ2m4etsWjUJxRlUqlPcvl2LrYL5tSSrvjyqiV+qnT9QFbfHbHVbY+nqoP2CHXTI7pZXea4B2aT2k/ZLjOsQzXTTRXAIkCtvaE08e6Zc0JkAzXlFLabW9ZOREF6ORQvPTsDtu9Q/vSqfPBZa48+2Ezf987Z8LzKe2TDNc5luE6nbFW7JnDwWXSuGFDMXYSJKWU0i4ZdRPZ+fLp8PxI201kSp1DH+0W5lHaTxmucyzDdQt6rdiXLweWoZTSTF1Ulcpg/CBfXKz0p16MQvTp87V+1XDv5tUmGJ+PgvHm1ZNqaufLsWWuXFlSk2M6gL90yivXLj1u1uv2v6Y0L+YyXBejgBSaJ+EpNK9mxZ41PDenSqVi9TFica4SeEz+ZLhu3axasWm98xtH1aPHa1+QY6MjaubQxdgylC4H99xzk3r9fO0EulsmJ9T6h16NLZMPF9WNpUdqlyBd3KNGdd145kI/fhAsmfNcjh8/bq8UElwGJy5W1MLCgl42HsYpHSRzF65LUTCqjhdLqjJnA3LZPxkNlkt2nrceVxu2SvHy6HEhK+5yfTS7cF2p/mBxLc6diC1XngvvE1TMcxuc0NrAktwRsZ92qRXbBPfizEBcK7vuc5Kk+5gjd6kRvb8OOQG6kQjXhy4O1xfg7rs2mn2A4+ZCg/73228cM8uMjDRfdrm5uPCYeuPCYP/ouueWFeZ9XT86aoZnG4bRBTWulzl/MTQvX967elJtfTrQCkwpzdRchWtUYrjRR7FYC0Yol3BdqZSr5eVSND8QrkNBMm4x+DhZ5zCFa9l3fiBEuRuuTaAo1bf0olzCtbt8ZW6DWe9hJ7jO6vCZi3Ad6bZiF3fFf0i04rz5YTEYoToT9Y8TvO8XEwJjZX6jKswcCs4bBsfH9Pu97WBw3pXF3WbfHLvAVjXXuzfZE9RGozD62vnBDNcL99ys9r8eOnluUa2Y2FZ38t2qFWPqVa+7Qy49eq8qbH16+dRhlPbZgegWUg3XehxhGONis5ZreaxZ1p23TML1lcpc9Pr1D4rQ/MgNUQvc3Il04TgUrnNph63Y5VkbFkKP2zBaC+/H3RMhK5Vqi+alfpwgGYVjs23Tu2LzjkSvp1k4PnKXbZm9FHvdFTU6Mh37gt4Y+EE2WC6qGzdG+2R6Wh0/bK8ac/6i/74tqiPztmUf84tFNAIU+95ivbiw3WzTtkeOVcukVf2RY7VuC71y8bGbzHMPariGe+7eZI+HgNV+wwv3qPV37nf+BTqixrfur1tXL5wcH1Xr129Vh8tldePEuNnOB1+pXT1j9eS4eu31E9VtvWflpDp1jt25KO2mOQvXtmVa+kSbCq1UrgZk+UKLiWW0oXA957SAo1uILFsq6/nLJVyLTqt/o9dYKjqtvaW54DJwYMJ1ZLUVuxgPm800IblJ3+1R010kvl48Lha4++ERGxSPOwHQhGsvcIc9YkKb28d6uFzU75sOpQfjAdS0Wk87fVRdo1brg50Ex8UFNVsqqVJKk/49cF3Yji4M29TY2Ey1ZXXhbtutof5HQncd5HA9OYEfWevVBadOu2el3o/rH8ptiy+6efjbTCntvzkK107406F5rqwDtml1jbe44pc3hiUdnBNDsNdaa8drfa6XZbiOGe3rYnJ4hqUokJ4IVNzthutaS09zQ49vR9uto71rWCMkN+tSUpm3+0JatxG2/WC9cXRE7epDUMW2TO86bqcRtp1g3Xib0EpdUNOPRo8dMsfxr4Pf9UO6fCT0I98+gRbhaa81v/9OmG4sB2JlK8Z1UPTKfBcWjkS3i07hiXTdqgY1XJsQXbizrtsHTlTMOryG6rok04X6RTWB91vv961PvxKY3564I2Jom4I6d1iklOas5dqezFiKWpxLUditndAooRmBGPOKpbJ5HMrcoIh5bkA2851wbVwm4bqkA1KpXB8qzd/b1X1mw7a/jAToLMN1b63Y11mYCcxLZ6hVOiRC+K7jl00gjXchqZiWymKx1JfWL9sNZFqdmN9YC9lptinqWjJsJyxaj5grJjx6zA2AtgwtwOF9Yuf7XS0WFxfNiZ3T09tMS3Oak0GD4STBpsfMwnbzOXzdDbMLd5uyc33oFz6o4fpmhOg74906FvfcYl7L/jMJNzDps7fcfKM6FzuJ8qg5sfJp3vab0r6bu5Zrt1VZ5mHcdBWJwnVJj+OLx3bzQOu0fWxSKMa8pHAdcpjCdaU8V3+CZ7HovcaKDga1vuliCf8exJazSou26F91JA+WZ6PW6k67ZkR9tpt18ZhFS2hCCJ/fMKpmDvcrpNruHW7XEIjL6s0cSt6mjTgxbfrR4Lxh8Maopc86rS7qH0Tbx21f5UJhpC5E795k+7JiObccrYZj+gdVfXlvNC3UXjcW6RJiTOrikrFHjpTVXbP2B7d456O7VLl8oifPn4UL99wU/cCyHuhDn/X0Lqq7b7wxtr8L69frsN1hfddPl55Vm8y/QwU1tfOl8DLaD9+6yiwzNmZf96lzw9gAQAfdXJ7QSK3d6xYy3NqTCYsZfqnbFvBwtxJ78mJy+LaPzepygK2Y3L/abnPSNqEldpivBtK6NkBPOycNigjdoXJKaesu7d1sAvO7ZwM/bKKbxrzElnk6ADJc51iG69aU1updKa940o6zGzaoQvGjUXcTHeBThGbTb3smzUmEnYsWaeyDmUON/00w/alj24QW7ml1vIv7bvDEFUJmzfuXeOWNI/ZqHYXpbX35AUXpILt09J5qC/SWh/er1asmVGHLPm+5JbWw514TrLGcXMyALdY0zzJc51iG6/Rm01qN7kahckoppVlpb31eUGedPuPSav3SqUAf9+gW6vveqV1ikNI8y3CdYxmumytX6siitTrtyYuUUkrbs9b1I37S62ZcVnBqZ90VW+CH16Kf9ZQ61+C26ZTmSYbrHMtw3VjbWl3ovG91xfZBxro6uZMjpZTSxu64aqUJyuedoLzjKnuS4r53z8aWtT6rJvS8nS/V37b92Q+vbXjyI6X9kuE6xzJch5XW6m7Yzf7alFK67I26eEidu2XfaV1+1ARohG4/eO+9bY1Z7swFZx2RqyZ4tRCaTxmucyzDNaWU0uXrkpocC1+ab+nx2wInP1KaDxmucyzDdQrNdajbP5HR3hY9y8v2UUop7cwltbD7bnMlkVB3EPg4WrSntqjdd9+stuwLL0Npv2S4zrEM140tz8+au+LNddKVo8NwTimllFLqynCdYxmumxndoCU4L6UM15RSSinNUIbrHMtw3dj5DSNq5nC81XrWuzW7b90JiwzXlFJKKc1Qhuscy3DdWLkj44nEW4830rZ6x8I3r3FNKaWU0g5luM6xDNeUUkoppYMlw3WOZbimlFJKKR0sGa5zLMM1pZRSSulgyXCdYxmuKaWUUkoHS4brHMtwTSmllFI6WBYIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYSQvHFDpMv7tT9tR2M8Fg37xTdqsW1pwfLDzF3R0Afl/nuaRNI++u5o2A4PRMMQt0TDfvJN0TALslwX6QzUDV9tRzvmKi0+GyNmqnNu1ma1LtIZ36AN1Xt4z9fZ0Y7I8rj55mhISFpwfI/Z0SDfHw3bZZu20fpJxDntF+2o4Ze0r2tVNC6BGmENZUmh7fu0mN+qrYDlf9eONmWv1l1etj+tv6bNMz+jxXaGwsTfafG6IZZJQvZJ6MOGdbjHRVo+rcU6Q+/Tn2qTng98RIv57bpW2wx5js+YqXRgP+HHBj4Pf6T1n7cboQlf0Ek/fHxaWXaYkffm75upzkDjAtZ1jZnqjG/XYl37zBTpN+9o8X74AeEntSj/OjPVHrKOp81UOnB8oH75z9r/ocXjXSe0eWWNlvVPfvgq7d9o7zBT9VzW4pj6mJlqnR/TdvL4ZQMCJHYU+I1oKB9oEeEbYByBCUEj1Kot4fp7tPJhgx/XohyPc8tDwQ8tBy83EMvD0Dwor0HAtmN52W6MY9tRkYnyQ8Ivx/J5Q15/I7EPMUSAldec1Boj8/2wm1Selte0oRYXtPLiR08SvQjXAD8csHzaUCw/GFwR5G7VCi9pQ8fkJ7UhfluL9XyNmbLguJNt853SuqRZ9lNad3qYkNZHEccs9sebTpkvPhtpaSdcS4hux1Dw/k0t5n2tmbJ1q/8419/SJh3Tf6UNPQa+oAX4Uj6vHfYW9qRwnVTeKn+pxXpWmKnm/LJW3gvxT7S3aYX/WxuqX35FG3q//qsW6/l6M2XrC3f9zV7jd2llWRwTo1oX1Hfu+kLL4pjDNFs50/PPtaH9Kjb7Z65RuL6ixTqkkes/aZM+65/Tho43KNvyilPm+qR22OuQhkiwdgUIP+6OkqDlGmqVlHDth1SEC5T/a6cMSqh1kWDYrqGWVpQhZMvrwNBFHjsIhAKDr7Ro43ViGuNHonEf2Sd+iJYPX5J+q/5ZbWi5NKYN8BJw0wbopLAL5UcXhqH5MOlHwPdq8Vg3FIO/1cprckUl5SP73W09939Y4HPjtpS7ATlp2T+Mpt1lZbuGrbLDF4i7D9LoB1jUN7+oxb7zxQ9EPAbBJzQf+vtUwvUPaN3PZBr94zrU2t0sXIv/TuuTJlzL+kOPHyZCIRpdipJ+rIpuWE4Ku/CMFssjWIbmw/+gDYHvRjz2H5qpGhLYfV/U+sfht2nxWtzWc1mveKO2EW9rZVk/XLvbgh8B+Cw8o0Vd4y4rAf0XzBRJQzfCNX5g/bUWj9+MAs1RLabxfl2PAo8/07rP24q/p13W4RphGB9yCbnypm3Xul8gaG3EcmgVlp0XIutuIfji81uasLwf7PHFlAY3XEureSPzCrYN/ZYxlNckgRot1I2Crt+CHQrXOA78x/l+VOuCrkPuMeOK5RFiQ/Ogv00SHP3nSArXUu63lDf7omxmUreRRuHa/3GHbQiFa/nydSsg2V7/dYdoZVkJaa10gxkE8AWC4wr1kx9UfXGcY5+FwnUnx4nfmif7etpMWeQHj78sjpdG3UTe0+Jx42bKIuEXrfP+lxdey2kt5sOi1kXCtbSCJyHPm+euCJ0SCtd/oJV9l6T7XiSF3bQmdRtpFK799x2BKRSuv6zFOibNlEXWizCMY/4tbVIAwg8NHJ+yrBuY79fKa0jTMv8lLZZdaaZIMyRc4/3x64xG/LhW3hfxgBY/AmUafaVxHIj/USvz0KD2Pq2AcP0/ta1sA/gL7bIP10BCGb6gMMS036KNLyaALzIo4csPvhKuZXlBnsNfPtQtxEXmu4/DtB+uQ2XCj0ZDIEESQ1l36Iu42Xb1G3kNeG0Yl0CHcZzIiCH8gBb7DuN+6zDKEWzx4cN8/HDCNJBwHmohlvWlCXUCKuek9ycJCTzuBzQpXGNZHJfNkG1vNWTKcdNItBSnDdeyPn875DX7oT1EK8sCbBuWH6YKT8J1mteE9x77LClc/1szFadRt5BTWsxrFK5bbVn/Qa0QarUGjcK1IOEYutuXNlwPc+v1Li3qOXlv8I/PPVpp6ZUWfJ/ParG8G659cCxhva30tQby3Fh/kmhlThuuQ63WQMI1yqUVM9RiCaRLyYe1WJcbrrH/MK9ROHdh63VrtBuut2rRCCo/sPGefUKLFmp0/wiFb/iPtFgOy7vHN8N1B0iIdA2FlKSWTL9rQNYt15jnhxWUuUHN7QLhg9eCefKaJNRgOOjhWkK0/OsQ6uLTKFwnvaeyP5PCsKzPD9dS3qpJoVjeK3c7QuH6d7QoS3OGv7zmVn4YAGyL/JULsQ6I7hpShudPG65Dfa2BfMFm3XINhrHvtYRrhEG3NSYkuqRhn/UyXH9ei2ND3qsvRNMiyqBM/wut4Pe1FtKEa7d7g/v4tOEaYN/iy3bYviBDrdNPaWXfuC13LmnCtez3nzNT6UEYdruwyQ9htBpLGf6FSBuu/b7WAj4HKEe4lmWSfghI+Jbv9E5argH2L9bBvtfNaTdcC/+XVt6zRsdrMyRcV7TyfjcT5wgwXGtQGYRCqYRLEcvgg4ng2Qgsh1+1UIKtTIt+SykM4W4DAp+AaTdwyTIQX5Q+Ej6hBDYM/dcYMq9g2/Ali64h7o8ClCN0yz6W8IdxvB8Y9/eR7BM3fO/RhvYPwnqjgOpuiyu+cLC+0DyYhN+C7odr2XY/0CYh2562j3cSElweN1M10obrpFZkCcAQ71ejyqmVZYG89lAXlUGl1ZZh2MtwLbTTLUTCjR9G0oRrIGHxX5opSyvhWq5Yca2ZGj78biE4Dv4PrXw2RdnPEsrThOsfNlPt87+0eK7/00zVSBuuEW7weL9bjxuupdtHaLmf0KIcLc3S6uyGayDHEkRXg2b8Ny2W/UozRRrRabj+f7Xy3uCSuB90pqGEbr9PNVqwQxzWyo88Ud5/5Cu3HJcbJRoJJwivCAUIQGgBxVBCAuZjOUxjHr7Ik7p/uEg485EveawjCdkurEPWg8pPHivbJvNkeRgCrw/LyHIYJm0faDQvD8hrDYkWVHd/+PpdKmRZP3BKi7Brs3CdhITrVsG24cMr+OFagkazYClIX+lmNuo24p9IiM+DkDZco8xfTnhV664fP5CSXl8rywI8b5ogPihIy3Wa1yMhup/hOmRSuMaxFArQacO1dA1xu3a4gcj3H2hdcAUKlPv9toeFUJ9rHAudhGsJr81Mai0GEmxFN9SmDdcoCx0fbrgG0i97k5mqIeEcfaSTwjXCuf/j9k5tEmhEwzI3mSnSiEYnNDYL3G6QlhOyfygafqv2Oa0brue1qLPwXiaF6xALWqzTzxMkAl/wUAIWAi++rCRcijIfQyyPsIpl3MDUbpcQUUAF55dhXLZB9LfBD94h3Nchr1Faz12xDzBvEJDX4yKvs1G3EEGWTduaK/vZXV7W0YnyRRBq2RYlXOMHRGg+xOtNQoJx0uPldST9cJAgJtssYV0CXppwLfuvUQsyzn9wnwd+SBuilWUlOPhfuoNKluHa3X+tmCZcozUHwSZkqDuTtICG+v/2Klz/lBblbsv3MNHqJfckXDdaXq5vvVEbql9wbOB9/XltCByLbmBFH3wsjzCE500TruXY8QM3wPGG9Uq4lmm377T015bHJ4VrwT0hTpYL/QCRriT/ykyRRnQSrtFqjRMT8R7iaiGYlmyG4wv9r91wjWtVy9VFGoVrHHtuVw+G6ybgUmMIFPiCliFaCvEm+KAVB+CqEFguhFuRSHh1y6AEGJyM55a7YLv8bZD1uWJdLrjKSQh8AQM5yBBwQuvzzSOh7XTFvwuyj3sVroH7XuKDjZDpljVTwGOx/nZt1KIulxf0v3SEZvtCtk2OI/SZlsfgebMK14IfnHF5tyTSLDuM4RqvJ/QDOSSWTQrXD2r9YxJ/qeIx650yMU3LNcZD2+GL48kli3At3Ura7RYizzOsl+TrRriWZZL6IUtwTeo2It1B8NnFEFcLkccgkGcdroE8p5zY+PtaTEt/7WbhWvBDth+weVJjetrtFiJ9rXHvBdSNcim+TruFSPh2bxoj4TrJtH3xlwVoCQ7tpEYiKCQh4dVHwoX/hdIIWZeEGkwjxGA8KegLEn7w+uQ1SnBHRQRkmzAfhH5c5AXpT42hXBpRvqQx7obrkGm6hUgLsS/2ebMAKvuylW4jLn6Ice205RpfOn74dZHXFmpNlEvn4YRA/1J86OeOL7Ksw7Ugz52mlbbRssMarlux291CJJTiDpEy3kz/uTsN19JCiuXckMNwXSMUrpOOJ9ytMU0YT+qOIUhQRsu2j6wf8yQEy6X4ZrTdaLkGcg8KlOFOi9gHbpBOG66BvD4s73c1YbhOT7vhGiEaJyDiOybLcC0/nP6xmbJIuPb7XIsM1xp8ucjOdU8y9JUbWSDUSZkbZGQd7YrAHEJOSJTg6y6LAIFp93J7PhLMsa0yDuR1Iwy54VoCuDxf3pAAiG2WHxmoIBGaUe6Ga3mvMC7vrfueATcsY19jnWnCdSiAAumrje2RiraZSV9GPn6f61Zwg3kSSdevlsfKD4ZOrnON/Y8yf7lGuH3Fm+2rRssOY7jOqltIVuH6V7XuY6Ql2w9FeF55P/z1y7xQUEsTriVE++G8lXC9XLqFYH9iX+MqIc3CdaOAKXdYDAVnwQ/NgjxWuoskLZcmXEtADh0foXAty6NcTpL+Ea3QSrgGf67F8n6IZreQ9HRyQiO+k5Lu0Ijjx78j4wkt3ttG17SX26UjTwjsFtIECZIQFbp8mWDcRUIphkngg9uJuPKFC7ZBts0Nuv52SMB2T3xzwTwsA9xxhBtMIyy64RpgHOYRN1xjiFvL47UjHGO61W4h0nIhNnqPgfx7gHX7yPMmBUeEmGbrb0S74Vq2S977JBqtH/tV6CRcA5Th8f6XX+h28UC+9Nwg2cqyAMcBnreVUJ938hiuQ+USuGVbJbBAtzXIRYK3v/5G4RqvxQ2I/l/zrYRr+VfM74s9DOAfLuk2IyZdgk8IBVtBWmybBVAJ0deZqThu/YLvQyzX7k1k5LX5reyyXjdcA+kKIrpBKxSuceJi0uuUY8xvuf4vWpR/g5kijegkXINQuJYuI3J3RoAfVni/3NDs47d6y+34Ga5TIF0jgAQxiJZqqchho9bhENLS7d9C2g300o/bxw18CEYuKPMDmrt86KYxeE4Jo6jEJCBK0PDDtcxvpetKr5DXhP7lGIrYJximDdcSJMWk98JHTgr0P1TusRP6AgL4Aup1uJZ90Wi7BFxXNs1yjcK1PJerH65Dd2cE2D8oxz5GAMAPTvdKE24/6laWBbLNP2umhgMJ1+gaJt2CksRxgH2WFK6PaeUfObHR7c+Twi/KQ905pCXY9Su0SYTuzgjcOlmumx26I2to3a2Ea1m2UTeIQcT98YHAGPrhFAL7I/S+ul0hmv0V/t+1aZZrFK5l2139cB26OyNICtfua/DnhcI1jn+UHdeiXsHnC1c5ces//7iVFm12F2hO1uFapuW9kb7TaLWWMgTs0PeedB3B+ybjaP1+NhpnuE4BPiD48EmLhS/KcSMGLJeEtPS4jwnht5a6rc4ShvClGQLzQgENX7CyPkFap/EFitCJcQnSUo6KAgcWpiVcA0x3EgS7hewfvA4flLvhOqS8Rjw+6f3xwXEB8f7LetwPohus0e0Cwd/vgwVlmdC8ZoEWtBqucb1uec7QY3C8ymuTm/IkHXcunYZr+YHiB2D5ggt5t9al0bK445yP/HDwt3mQcb8w0poUrkPLptH98pMWapzMiC80BJNntI3Wj+MNxymOQfczLWHcvWsjcMN1yEbnOqQN19JvN6mldpDBSYehk3195PsQ4kcM9pt/c5g5rez3UGs0rh4i65jVon5o1roNsDzW2W64lsv5ud07gKzXD9BALr/n37GxUbgOieX8LgY4nvDaERaH7XjqBlmGa2mdxvpWafGZRr/s+6IyBG0Jygjb7vNJfpLWaoDHoswXGc7/Tl/W17wO7SSIVmcENIBAhS+A0HLuX1nScgr91uok8MUmLdzuuhqBZdOGXoQ8aZ3Gm+8GJzw3cF+bvGbQ6EdEPwmFazdMI9zKNMbxOlzldbeCf81rvxVcwrX0Z5bw2IrdCNfNrg4SupZ3oz7ZQqfdQgDKk4I8WqHlS7nZ++Uum7RfsA55vmH6csMXSNrXJPuglW4hjQh1/0AIk+3xQ/Bvad33B6FF/sEQ/SCN46kf75k0sAzrNa7TgOPC/bGM0Oi34je79vVntfJ4sVGfbEFCcLvdQgDK0wT5TpAfkNheXKEi6TiVLiG8xnVvcMO1hGE3L2C+HB9y7OJqSVgOARw06jKCeRLIGynrIoSQniE/FHpxO/Kk262TfCMt4b0MuRIqh7HVejkh/w7faKb6h5wwyVbr/NHNH16EENI3pGWsm186aLHAc4Raz0n+STo5rVsM+23PlxNJt0HvJbztOSGEkJ6CVkL0X0x7Mmk7/KIWz0EGExwjeA/R1arbyE1vWrkNMskvaDXGsYPzbPrRavxPtTie/omZIoQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCGmDK1euKEoppZRSSmln/tmf/dn7Ga4ppZRSSinNQIZrSimllFJKM5LhmlJKKaWU0oxkuKaUUkoppTQjGa4ppZRSSinNSIZrSimllFJKM5LhmlJKKaWU0oxkuKaUUkoppTQjGa4ppZRSSinNSIZrSimllFJKM5LhmlJKKaWU0oxkuKaUUkoppTQjGa4ppZRSSinNSIZrOrSWZzeoYrGgCsVd6kp5Vo8XVaFQUIcvXQ4uTymllFLaqQzXdLitzOtwPaPKJ2ygnh0dUbuicUoppZTSrGW4pkNteXbEtlxH06MjI+rS5frlKKWUUkqzkOGaDrWzOkzXWqoraqRQVJe9ZSillFJKs5Lhmg61IyMFdVlaqsuzsVZsSimllNKsZbimQ2xZjRR0uI6mK/MbTP/r0oaRWuCmlFLato/t3q5KpZIqPXpQHT9+KbjM0tGj6q679DJ6uQOHjqtLl+Lzjx5dUOVyOebxSiW2DKWDJMM1XVZWWGFTSmnH3rpqhbn60quvXzTTe+9Zbaa3PvVebbmlvWpMl01tecoG6qUlNTlRMMudvVhbF1w9OWbKDxyy4frumzeZ6cKWfbHlKB0EGa4ppZRSmtqjO9aY4Hv6fLylevWKMfXy6fPV6ZU6SE89+HJsmaW9m1Vhaqe65JRBE6698md3XGWe56VTtXVSOggyXFNKKaU0tbbVequ66JUvLS3VwnHUav3Ue2djy8DKJb/7yFE1oZfdsu/dePmzO0y43vnSqXg5pTmX4ZpSSimlqV2zctyEXr9rR8yjNhhvcbuJJBktu+/deBBf2nubKWfLdQ49+ZyaHLfHAXzrvfB7dN91V1eXefLz3o+nKyfV1dGx5HrHk/9PbZmTz6uVzvPElvuMs1zOZLimg2ulYvpQZ2/guSillBqlW0hhfX3rtSu6hWC5p07Xt1677t1s+2v73UzWmH7YW9QFp4zmx5NPfKc9DrQvvn2mfpnn76vOf/It/0eWDs26/IEX3nbKTqo1436Zfp5PfNCu400nnJ/8hPm344YHXogtmxcZrunAOr9hpPrBzdaZ4PNRSim17li1slpnvnrWntRY55Lt7oFlzEmNoWW0V62a0MvUQvTS0rNqcgJ9sHWZd2URmh+f+M5r1Ic+9Sk1qd/fT9WF5yvqmjXj6oE77Q+xt8/Ej5H7TYv2OnXa+/fj+qtXqjffPRcre/7+6806/PLrvwLH4A1168iDDNd0oB0ZqQXs4q4TwWXSiluj23UxXFNKaTOXju5Qo1H9657I6HvLSoRnvVzgREa4yrRwT6lisajGxuxVQ055rdg0f37nNatNqF47WdAh+63YvOfuu04V7nhS3X4NwvU6dcYLwNfpEF0o3KHOOWVJfvBau466IM5wTWm3xF0XbeUOD1+WuzG2J246w3BNKaUpXdprA/b6BxNbpuHm1ZOmjq4L4dGJjztfPl0t81uyaT5FqEZf62tWj6t1H3vRmWe7d6C1+uqV+tjQIdt9HLQt1wX1wtu19z3J8DpstxJ2C6G0W+LOi6jcIzu5QYxtvWa4ppTStG5ejauHrFfnG3XhCIRoeDS63N67TteSvbfZrgRsvc6zz5nuIO+dv6Juv2a1Kqz7WLX//X3XrVV3oCX75BNqXC/zwIvxPtRWG47xPj/w5OcD80W73B1Pvhkrv9a0fOez1RoyXNOhMN7/uv1wbO7iyHBNKaV1Hr33VvXwq/F+r9CG69rJjTdv3FYftOXSfN4VQXZcZftuu1cekauE+FcPofnRnMwYBWqE6ULhQ+o85j2HkxjvMOMnn7jdvI/Bkx2NtoXbfG+veyB4cqyczLhu3TpVLEbdi7S4okijk2n7LcM1HRqz7H9NKaU0Lq5vvf7BL3jlS2rFaEE9KC3SUYj2r/xhrwgyVRe67Z0Zt3hB6VlzIuTUzpecMpon73vf2mpXENO/Wr9faMXGSYwSpuUyfO+dC69DvN30qdYBOtDF4/7r7TrejdbhT+dVhms6RGbb/5pSSmnNVStGTd26fuvD6vjx42r39ptMf+utT71aXcbcgdHUwVNq/4FDamFhQW3ClT/09NmL8cC9tNde3zoUuu1l+ArqlbMXYuU0H75v7WT1CiHSQr1v+zWqcMenqssgaCe1SPtei2UDJzji6iHx8nA3kbyZu3BdKZeD5e06V5rjdYuXk37/69AytG1nN6DbjN230zOPBpehlA63S0sVE5orlUZ9opfMfQMQwi/xcnpD5km1erygviyX14v6VuN7oXbJPdvlY90D7omOydrWa/+KILKOeIu2OcHxhnShvV/mK1xX5qpf3BWnXMqa6a5LbgiC8mKpXJ3GvLli+PGiux46eMb6Xxd3BZehrTu/cVQ9erz2ZTo2OqJmDiVc35ZSSulwavpVu5fXsyc3xk5cNMvU3zzmiduvUXc8Gb9sHzQt1/4VQZ6/367DvXmM1l6aL78nM8L8dQuplG0o0pbKNgzLNK6BGVLmu+uRMl93Gd9SimXoYOj2v545zO4h3fCusVE1/egbwXlD6eIRtTG6Fvr0I8fCy0C93OiIXmbaHn8Nl6UD4KJaoY91qU8eejXpJLtFNTFql4FnL7j1zqLaNFF/C+f1D71i5h+99+a6eeLWh57hP3A0V+LmMe7VQUIiROP49U9mtNe3jl/3+hO3X2uWfft0vLHmEx+05S98KX6FmaTyPJnbPtdFvePmou4c2ImFUnJ3EWmJdsswXZyz4RxWg3O5ZNfXRHddw2R5bk6VSiXtnCpHLfmtLFMul+uUfwTyZbz/9YkM+1/Pz9quEcdD66wcia6Vbd11eHBOrLTBcTr1vkLL9SGvD+XQu7jbHFcHzye02Efzz1+0+3D3phvVoQvLbB8NqSvGos/1+oeCYffoPauqn/vT3vGxYrwWpMWVE6OxsqP32se7fYwXj+6JbtKyXl3o4BKjlGalCdbRcV74UK1/dWyZKFiL7t0ZH/+xW9S4XCEkct0dn1EXvVZoCdxiLEhHtz5H+QMvfCn2uLyYq3BdH9yclmsTrmut2iLmJ4XrkAjXodZvKMtg3F3XMDhXtC1u0v+8XLKvtzhXC39zUXeKRstU/1kolqrvU6nazSZn+60L/a/RIlncdTw4bzbafzO7DpvpCoJ2tF+yDPdpnB2ttbQ181LsS1v/KNGvceZQ40A4v3FsebVaRy7u3mT2mYRn303jY6ow/QhbGodQhOuHNuKSc36rtHVSh+WHttlLhbnzF/fcYsr8wI1yN1zLcv4JfPeusjdfefp0/SXwKKX5NFfhGhVI3FKt3A3XCMPRMpifpuU6jUPbLSTqy37CK0fgrgZnWcZrHUHgjoVrrQmMxblYWfUfgZINlnkx1v96prNt24CW3cA6KkfmzT6ZSWqljlqzix0+f++smB8RSa3SlfmNej8cCs4bdndvwl/7094PEvGIaWXcdiD5NtB0cEW4Pn2+bC4zd+d+7+/oRbQwb1XlqPXaDdfSot3sqhdJ4VpatBmul7fP/bi99ney69RZnjiaG3PZLaQyJy2m4ZbrMpaLwhzmt9Ry7SyfpLueYbBcsgEz1JomJ46mWUYMhmspj34Q5Um3//WuE222IEet4J3c/XGQPHIXLoM1XX88VPQPienlc5WQxSN3Vbv5bHv0kBpH39ttB+uXW6yojVG/3Onpaftv2JC17NvLqU2rC1Gr/eLC3WoUfYzX35nwY2O4tOH6klq1AvtBv2Zn3j2rVpi+2Htusa3MsZZtE7xxDDXu2pEUrvfcYm+ycvpcQlckumx87sdtd4vfeyfe7/8/fAeu/cxwnSdzGK7tFT7ckGam2wjXxbnaVULKpfpllovyY6VUTg6W1WVSnPw3aOHa73/dThAYRUBPanmW7h/FmVgYPTK7odrlqNehXC6Zd+hS/P3cEG1P6XCzfsD2NcVbr9GiHQ/cG3P2T0WWbkJYnt5Wfe9sq3VBPXKsvgVyUdcx8zfa+cdP2Drncp+vs36TCcO1476hdz4TXId1UY3r9/3CpYr+cVFQdz5zVj120wo9PKYqR3bb4Njw8cOhhOtaNw/5bNgTGc9fRBAOhGutBGS4df9rsXliOFwvqkn0T936tFOWYDXEp/MUw/rAufQfvsO8d364tlfrYLjOk7kL1/LBrytrp+W6iJPyrMXqMlHXkoYOX59reW0l/YMjNB9KAG20DLRB0gvXUbeSNOF8g9OS3NSswlus/7UOu6FlErXhfNfx0GvTIbS4S1Wi9fvLmK4kLT9fZ6K/9aETl9VodIJi7LnR8my2s1m4ticsut0/cCm+2j6MHNLuIRKkLzo/iqS/9bGEExRNf+uCDuOBef3wse13Veu/pu5K18o+oQPmww9vUM84AfCmFdhX62P7ahhFuH7VvG4bptc/ZG+csoBuH1v3m/GkcG1cPKrGnauJvHY+/iNNwvXWrdvMe7Ix+rw9pH/EuMvR5WtyuKZ5M1fhWvo817Qh14y3eEKjtBhKqDb9tLWyDrRq42S8ueikvbno5Dzbl3v4wnXtHwHrXHSyqL+MBOzkZQLhOjrJsZgyCM/5X+yN9Pp7d6Lb/7qlEwyj4By8Ooij6T7gtW6j7/JM01bi7nhk1n45X3K22/SX1mVpWtJxqb1g15Chd1GN6fdt28F43+kj2+3JakkhEsFpuC+7t2D6G/ut1HdPYr8sp3B9Rd0SvWZ080A3ESlvGK4jF4/eU21hdlup/ZbrPTfbdT30Su+DFJ53kHznnXeCr2PYDIXr5378O9SDL52KLUf779CG66pRi6pp7Y50Lx0n3SGq/YqjbiQyf9islGs36kHLfjvLuAFcPHEivkxetf1nW2tJrszbLhZuSA1pW6ndriG2a0XqLiGV+er+TGOz7ZFWardrCFq1pxOuduIrLdXLoT+t6+LuG83r9q8I0vhKIPZkxlCXEYTuA8eOm3rlrhsbrSPfLj52k9kvZ72W+0nT/STeB3kYdcP1lYV7zL549fU5/b7fWb3eb5pwbT1q72jnXNYv1C1k1aT9ByVtf2scY2kdxGNwuRsK19deNak+/nvNf1x8x1esNo9NZcIl9mh6c3lCI7Rvsg12ZtyE6/CywZZrPAatq85dHyFCtgTqJN31DKty+Tz/SiCupejyfc2uFiKX8DvcSmtwH5TuKK2GxXLUAtwsJEtLsSw3v2G01mptgnOzUF+pXt4wjWm+HE3LefWyevYye9XXYcJ3csv0cg3X2033Dr+F2rZmJ7VMJ1+izz7ugvMDB2H7fA+uD55dn2sr+lnjnwy/hRpdRdY/HO5HPEzGwnU0jX3n3lQmfbhGizeC89ZqMA/2uZZ+1AnX1o7JPtdDr4Rr3zThmvbWfIbrqD91qWyn5QCqdfWIK/PddfjhWrp9oIXaba0OjbvrGWbxWpudgGhbqePL+OG6WqZNE/j60edaWp/buVqIhOumLcVHbPcRu5ztYpO61bpLmn7XUb9ohOVm1692Xd7hOn65ve1RUE26ecx2c/e9wCX6jmzX5ducVt36sA0XF3arDRt0fTbzaHB/795+o6nrDr5xSW26a1eqz9ni4mKwxTJoih/GpoV6+uHYcye1Zg+jfriWIH3eOYksFK5xJZGt/qX7tLiJTLOWa3jLStsdyS+ny89Qy/V3XL2qp+Eaz59Hv/jFLwa3t1/mMly717CG/k5Msm4dTriOdQtZZuG6pL+U3dcvusHZLBP4UrfdKJqHa7mUX5oTGoNf7kkGHt+6ZbvN7V5nOmWfa+kGclgHp1kdauXkxiPzs6b/eNuXAexAezMZdFXBttVaqavbFDxJ07pc+1zvjq76IQEYrdKPHHvUvLe2ZXpRzb0RDzrjY/r4D3T3MP20tx2oTiOE+63fm8ZH1YEotGP+I6+76140Ld2yLbgc3vQjrzvze6XeDtQFXgv3Cr3ty6HVGq8fJzG64TokgjSOHfeGMVLmBu5QkE68nnXKS/nR4Td8QuOSunSp+Y/bpaWl8HdsyIv8V6NTcxeuJeAaE/oEp9EP1wgSGOLa2csuXONL0QvDcoKjXJ6v4TJeYHZDeX15utbrXtpOP+u4NpwjNIfn1zTdMHbt0vtyV11505bvLignMBZHRtRxb/txecFG22SuFrKMrmldNbqFOfYb3HYQAcj2qcaPjfoW6ugEyMDNY+wVRGRd0/o9iH8JLnjhe0KH9NedVuDtK8b1emthC+H6QD/+zl98rLpPDr6B/uNHzDW/1+uwPfw/vmywlvdx/+nwTYIkRIsSsBePPqY26h8h7rzC+vXqmNOFyL1UH/QDtju/39e73nvPTdXuJ7XLEXouHTXdhaam7HJTO18OL0dbMhyu08k+1701Z+FaTlgsxkO2GHUDSTTql12es0E6JK6AEQrUc9F1sGH9dg22Jjjjtel9ZPrrzkX90J0fL2mWgRW5E6PWv+NjZc52vWjW1aSXzkZdUDq9/TgCetJtz13tSY1+d5A+dhGJTmqsP4nR639dp71L48yh5duCgWtXx4PjYrj7hOn6Uai2Prva/tX2MQja/gmPEwhd09P2B6Ae+j+A8PhzTv9shG93ulcu3G27O1y4pPdL1N1k+EM1TfJW80Oi1l885tJec1WZ987az8Pezbck/iChrdlJuKa9NVfhGgcNdMsaBWXfuUr0OAmAOiiir7W7Pqv96wPj1aCtpxEq65cdIvF3T2RwPkyzzIAo/axnUnRVaWbakxrRGlzX1QJ9sb2W7J5p+oEHunagfDp5m6TFe7n1t25HuSa2349aWrvlBECznNNKDRuf3LhgHy99ehcQ4pNuvd5dzbWsvf7WdPm6aoWuD7c+FZy3ebUO3lMPDv3VY/qh3KGRJzDm3/x1CwmUUdq6UT/rDEMtWhcbXbMaVwcJtW7HrhrSU23rdCiMNTu5ESdCLudW61Y0/a290AztFUScm8oEwjFarqvdQBYX1FjR7bftnvy4qGYffVSN9OkyfviLf3pZ9K2mzV1SK/SPwge/cCYwz15icMtT7wXm0U60tzivNSau+/jvBZfrnSftv9yRuENpcLmTz1eXeeMN73yCyMcfu9fe1+KR/XoZ/3sn/jwh38jhlW9yeUIjpZ1q/mbXFVC2QSQ6YdHpGoDbjKM1GwHav/25iK4i6K9dmZ/tfjCqzEe3NrfB2r/9ubhRbxPmhbYJ85ZlX+sWXTxyJLqLXqA1efGI6VaDY/BA9cvChmWc+Fht1dOBWpbbdqD+Lom7N9krRWw7cEwtbF8R63/dO6Obx7Dlepm6pG65yf47g77irx+y3aCk24e4tFSJ7taJvtZTtqvmw/YulnQ4fe6+6+xxoX3rvXDXn6tX2vnrHnixbt7t164x8z7/BVuvfeLHrjXTdzz5Zmy5k5/4oC1/4DOxUH3bGnsuwpdOM1xT2nXlToyd9rMOa0NrccZeDk2CUaMWcrn+dXe2J65054B+/11X2Sb3CiiVI/O2dT7lTWaWu6bvcdfeU3QJcS/hZ09mdE92pLTrHr3XdE166lX5UWdbrXHlEvcShHCpUlGP3WJPmnv9Ddu1MM1VLOjginC97kMfMv9WfOqt+n8rnrjddmOBL74d/6fj+fttMH/bC8bXrhlXL7wdv3SlhOsXvuRd0vLkJ9RE4QZ1OqnVvI8yXNPhMrpsXhb9rBs7fHfxHIZ+9sMiupS4l9xbRJeSAb2zIx1UbZDe+nQ8NJn+1uvDfapNf+ukEx3p0HnfdWvVx178vFo9XtDDt735z6mV+ru4dLXtzvLeOXeetFrfoc45ZfDkyZN1x8/919t1vOutw3YZqf/HLw8yXNMh0l6VA9d1Ds+ndHBc2L29eiUkXP4utAyl3XLvrfa62+e8VsGVOkhtTehTjXlTD/Kye8vFa1aPqxe/fEatnSyodR+Ld/u4bu1K9YAO3NesGVeFdQ/UBebrrrZdOuoDc73Xm2Xrg3ieZbimQ+NIdNm9zi55ZwN6mmtaU0rpsGqvCPJ0vHxpr+km8oUzof619mTGB1+uvxvl0R1X6bp5izqOK1EtPGZOkH2Zl+cbcE+aFusvn7mog/Rk7NrYJ5+4PQrUJ9UavUyov7V0CymsaxaaZR0vVMvQTeQGZzqPMlzToVD6WbsnG7ZlZd6spxf9oymlNJ/aoOx3CZHW7DOBm8cs7d1s5vknOsK9m1fHbiRjwvaW8KX86ID43H36/V6nzly8om6/ZrUOyR+rtk6vXRmd4Pg8limoJwP9seH919augPL5dxNO1n7+/uoyrk+++W54+ZzIcE0H36ifdXHXifD8FpTrWfP6zpTS5WvUCh273J4tS+pTvcNcuWGq7kRHeNXKCfXUu7Ubn/hhW7z37k2mG9T+18Kt2nvuvTmaf07devejvJZ2H33uvvdVW6vtiYs2aGNcWqrlhMa3zyRfzeOkDs/2uCrUncgIn7//ejPvTSd84wok7nQeZbimA262/azlEn4M15TS5as9mXH9g1+olq1aUVSbcGfG6OYxe2+9JRakV6MbScLNY1ZOFNS71Rbto2pC17GxW6cf3aHGClvUBTP9rJ7vh/QltUqv49Q5+5jb1kzqcP6SM5/22u+8ZrX62ItfNuNySb73zuMkRhuyUX77NThpsTad6MlP2IAd6Jv9QXPi47rYFUGeP1oO/sDLkwzXdKDdEPWzztq+3KqcUkpzor3FudSJ682JjfdG1xUuFEa9Vu3oyiKhEx2j26HLurbs3F8XwBGcJXyb7iVTO2PLfHjtKrVlX+2uhAjX+94J3cSG9kqcxIiTGc206SKi39/x8dgl+cw1ru94sjrdSHv1kHiIhq2sI08yXNOBtTzbnWANeckzSumyd2lJVbxrVeNmMXWt00d3mHrzqfdqXT/Eozt0aJL+1SZoe63S0WOnimNmuGX/K8Hw/c6ZC9XpNZNjsWnaa59Tk/q9eu98fDrW8nzyCdMajSuGuI99/v7b1c7P1/eXDl+a73lzOT//pjIQLdq/muN+1wzXdGCVLhzZW2S4ppTSlKIPNerOWFePSPTF3vKUhKAlNTnmdhGRkxv3VafrRTeRgjpzIZp+9sP6uabUuUDfbtobTz7xnfo9+JA6Xy2zVw5x79Jorhii3zf/5jHoKuJe+cNqrwjywAvxIJ5485joJMc0l/HrlwzXlFJKKW1b09866otdP28sdjIjTm7c6V6uDy3XTjcQXJHkpVPuCY02kJ8ywX1J3fXww2rM6zZCeyuub92sL7W5vrUOwH7LtZSvu2OneuONN9Rj995mWrjvePLzseXgtVE3pDu2llSpZN20KeqadEN9/+w8yXBNKaWU0pZdOrqgbtqEsFR/O3S445YoCE1tURej+dLK/ZRznesd0SX+0CJ9NnCL/723octAQW3Z94p69sNrY/2v6WB68mRFHT16VFUqyVcSGWQZrulQiBMbd51o79rUlehSfu0+nlJKl6NLgT7Z2YouIXIVEStOZnzpVL4vw0YpwzVd1o6MFNWJy52Fc0oppdm7tPe22CX3ltDfml1C6ADIcE0H3Irph1Usljo6CZHhmlJK8+eze+41N46xN485FlyG0rzJcE0H3sr8BlWYORwrm21y/Ws/SDNcU0oppTQLGa7pwDu/YUTNHO4sGDNcU0oppTQLGa7pwDuig/GJywzXlFJKKe2/DNd0wK2okUL9HRXZLYRSSiml/ZDhmg62lXkdlmfM+Fyl/XA8ynBNKaWU0gxkuKYDL26DXpzZFZzXTPTX9lu1O+1iQimllNLlK8M1pZRSSimlGclwTSmllFJKaUYyXFNKKaWUUpqRDNeUUkoppZRmJMM1pZRSSimlGclwTSmllFJKaUYyXFNKKaWUUpqRDNeUUkoppZRmJMM1pZRSSimlGclwTSmllFJKaUYyXFNKKaWUUpqRJlwTQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgjpHS9p19nRwi9pf8OOEkIIIYQQQlrhd7U3aL+o/XUUaM5qJWwTQgghhBBCWuD7tMqOGhCuP2BHCSGEEEIIIa3wO9rvt6OGv9OO2FFCCCGEEEJIKyBMS0u1dBEhhBBCCCGEtMhVWnQJkZbqj2g/o0X5WhQQQgghhBBC0uG3VGMaYfsOM0UIIYQQQgghhBCSEzZpf1GLS51u1iad0+Iud5vWXW6N9rub+BVaQgghhBBChpJv0+Kclv9Ti6D8Vdq/1uLfwXGtkHa5+7Uo+3daN1S/q0X5Ci0hhBBCCCFDCQLyz9vRKj+hfVHrtkpjuV+wo1UQpP3lJFx/pZmq8U+157RjZooQQgghhJAhQ1qjv95MxXFPFk+7HPhvWr81G6DLyK12lBBCSLfBNaxRGWctL9dHCCHJoLsG6sofMVPJfJc2zXLgz7Vvad3WbEIIIT1Grv4h4rbm39imD2hlPQzXhBDSGOk3/Q/NVDJplkPr9N9o3e4j6CbidychhBDSAz6tlVAMO0HCOsM1IYQ05hu0f6tFnSknK4ZIs5y0cPvisYQQQvrAWa1Uxr+Lgg5A/0CGa0IIScc7WtS9/gmKPo2Ww+X5MG+lmbL8ldadJoQQ0mMQiiVgo3tIu6AfN8M1IYSk58ta1L3Xm6lk3tZiOf+KICg/rx01U5Z/rmX/a0II6SN+/+t2K+V/o/0NO0oIISQFclUQ3CimEUnLoZV6vx0lhBCSJ9z+17guKiGEkGz5rNZtYQahS+6lXe79WvTJ/ldmKg5atNnvmhBC+ozb//ozKCBdA1dZIYQsHyQcT5ipGv9V63brSLscSLp5jJzk6F/3mhDSJldp0fKYdHLaT2txAoTv92iTwPrwQf1qMxVHuhR0ejIcyQeo1PF+wk76X5N68NnE/v0+M1UonNF+zo4SQoYc3IER9SoC8vdr0S/6VDTthuC0y4G/0GLZX9bKd/kfRGXNTpIkhLSIhOEQCMGY5/sz2iQQCmQ5F4TtUDkZXLLqf03qwefok3bU8O1a7mNClhe4LjX+ufpmbaPPftrlCCFdxg1FrhKOEaAlXLvIPBfcRapd0Q+MDC5u/+tuXP3jp7SD9mWB4/pl7UfMVJjdWv+2xI3IW7hGPYHX+a+1d6OgAfiM/6IWLWX8h4O0y01a+d64BQUJIGTKcqHjDfP/sxbH449q3a4T8rgkefwSQhqCCiZkO+FaWr/bUf72HibQnSb0Wl2wn0P7TfbtXq0/zzcvQcvtf/1RFGQAriaC9aElZpCQfXEwGjZ6DejqccyONuVPtD9gR3ODBP5/YabCnNb+Wztq7gy33o6SHPGftG9qB+FHrHRjgEl9hP9Si/n+a0Kdi2PwE1qUf5VW7moo68J3ILpjvaFF90cJ1QjjWO5pLSGEJIKKxg/WaGEKhWu0wokyLy1Yfjn1sf41LV6zC/aXXxbaj36ZtAr7LZyyvjx9Gbr9rz+Agg5Ai2/eXl8z9mixzX5r9TdpsW8QokOv51Na/Mhq9FqxzON2NFdIuP4KM1XPk9pmr430D1w1Qj63L6BgAEB/4cNabPdGFHjgOwzz4FMocMDNVdC32EUCtxvUEbj95cBntQzXhJCGSEBzRQgOhWtfPxTiMW4Ad5XHhOYN43WO8VoRsH1QLsi+90G5u29luVD3AXx55Cm0ZNX/Wo6/TgN6L0H4/V47mghe1x9qQ/sFLdhJV1zBevN6NRaE50bvNS779bN2lOQMBEh5bzA+SOEaofl/aUPb/OvaH9YiMP8cChzwOkPh2L8EHa4FHQrXoJWuXIQQUsUN12mRx7QqWrWGDbyuZi310rrdrKJuFK7zSBb9r5fjnRsRoLHP/GvV4iTgPO8LdPlIuoKJvKb/zUyRPDOI4RpDHF8rtC4I1SgLhWuEZjxmzEwl0yhcE0JIQ9CfTC7HI6KvcJqg3MoXPpZfTt1CpB81WnKTkFbeZj8uQuEaZY3W3W867X+NFnlcUsrHbRn3jycJ9f1q4UXLs2zb1SiIkL+oUe4HZx8s5/epRssvupVIty30u262nm6BLiDYxl/R4iRGeV2hlmlst+wPsVG/7F6Aek22S7qqSD9a2Ks+x7+qlecsat3tkrJeM4jhWj5bP6QVflKL1yH71A/XEshxmbprUJCAH66xPnzG03z25PbkaWQXE0KGEAlurtItxA3cf6TFPJnGuBuu/e4A7ThMYP/J62oUntFCK8vhjPUQoXCN6TRnrLf6vmQZLCR4wVZa3WWbP2Cm4vxpNJT95m6vtJL2o4Uffay/Rov3Ha/b/0GBL/k016fGl7f7uZLX5NuLAOgjfavdVmg5aTepZfqPtRJiOwHX7HVffyP3aZPAiXDYFlx9BsuiK88/1gIJvM1aNDsFDRrTdtQE2i3a17Wyj1DWjxMLBy1cy7aiD7W7vzD9ddqkcA3mtHK84KTF0HsuLdyuCORpwvUurfv92ch7tISQZYp/gh7GGa6bgy9NeX3u9Ypd0Crp7gd8KbhIuJbKGH3UMZ33y0G5x0QrgTfNiYyhII2W6zzcYCUUpBG43dbsJNAqnUUY7QZ4XX5wlXCdFDjwt3yjsNsvflOL7f5BM2WRcN2rfwUk/PnPiT75CHEM18m44Rot1diH79OiJRv/mmF/NgrXAs75wWMhArmL33KNuyDis9mr4wP8mVa2rx/2o6GCkKEAl8DzP1BouX5M6/66RqWCeTKNcZRt14aQ9RCL7L9G+wQt11gGupVaqOUaLbd5D9dybIW6dzRCunc0ChdyMyJ3HyDAovVYwDL48my0nm607EtAFvBDQH6INtum39amfZ5ektR3ulHLtLTi97srSAi0hPvbjbJm4VJa79OadJk4IF1s/C4g72kbhWt5XOj5Qvq3xE5iUMM1kL7VciIjSBOuAbpayY8c9/0K9bnGLcJ7CcM1IQNKUrhGGPDLQ4auiCFhsJXgshyQfeq3TLtIaHRDeChct4L01U1jVuA1YpvdfzfSkiZcAwQM6X6B8Oe3FuMa2bjOdK/xW97xxS2t1s22Ka/h+re02C6/1Q6vLallWgJ50iX6WgFXcggdryHTfE6w3XLdbSFU1k2SWsr7FXIHOVyjuw9+kKBOkJMb04ZrIP2w/6GZsnRyQiP7XBOyzJFwLYEP437rqgS+UJAOIZUGkPFmLgdkX2N/NgJfEG4obRSu8Q9Do7DejZbZNEjLWjvrS3t9a/z9K4Eaz5eXQCr7HIEaAbOVEyzzGq7RQu1vl4TnpBvCyCX6svgbPas+10Ban/++mbKEyroNWqj9vtVygh5PaGyMH65xgxe8f25ZKFxj/6Jbnf/5ksenCddYtlkgzvrHICFkwEgTrlEmy0j3BvQTDoHHYj7WGyK0/mFDfoz4SEiWfY0AHeoy4e+jRuEa5XkLYnKy4QfMVOtIaGv2pYMWbhyPCOP+CYQSUtxuIr0Ezz0VDeX9SbNN/gmNeSEUrl/T4vUktUzjEn0IjyH2a9E95lvMVG8JnbjYq5MZXRBm/R8CCH796G8NBjlcA4Rht9+0hGv3JjLyGbzOTNX4rNZ//7E/QuEaJ0yytZkQ0pCkbiEAlZOUSVh2T77Drbld5KTHRuEA85dLuEYodvFfO/YTylxCQVq6SfhhU8rzhBxPndz+XI67Zn21JYS7/Ztd3GDba/Cljm1DwHZptk14XB5vFiMnLv4jLd4f/AiQFnqEa3Qb8ftW47X44RHvmdQP+Jwk9dfuJrjykf+8coIjWtnRSt7oEm1ZICHPDYhyBZNuP3cI2R7ZB3kHN49ptq/+f1osAyU0u68Tl49EK/QXomk3mOOulSjDDx333CP8YET5z2vzxBotXgu2+14UNAC3e8et7vF65Ko1hJCMkTCEViQ5cxoBUIIfDLVCSwu2dBWRYC1BR0JiKw4LCB8HtP7r8y+1h0tyyX4U8cWPxwvupfqSzBP44sqi5RVdPpr9CJMfMaEWbgS/LLajXXBSo98HHF0PGm2TdE1Ic1WRfiDBwr2Fu/yIQOh2kdfidxnB8hJ0ENj7cXWX0BVM3NCVRR/xZkiQxgl4GELs114HW1yvXJ7f9x9ohxnpltGvH+BZg6uZ4Bj+ETMVBn3Bf8GOFv5cu8mOEkKyRsK1BDpUNviiAc1uS47LzLmg/6+A9UnllVYy2MiNY7L4spJW0UbrwjWvk1q30VWkXy3AEvr9bW+2TQjk/fxBkCXS0u3+zS7/NMg18z+kXa7063J7ZHiRcH29maoHLdU45gbhnwlCCCEa6aKS5eUB0WqfFDbxfI1athFU+3GpQvyoxBdcqPUZ2+R3ExEkeA7LF1+ovzVOcGx2suFyAf2DuS9IliA8ow5JuvwjjjlptSaEEJJzpJW5Gy3FOGlOuhohgOLfErSQ+/+a+GAZtBTLHR27Dbo7yJdb0gmL6Kcc2iZcng+Py2t3kFZByz1+YPjXxMb753YDQT/tXnTByBv4AYbj5d+ZKUKy4W0tTsAM/RuC63OjjsFVTAghhAwACFISgLsBTqLFc3xeiy+IO7RpcPuudxNprcY+aPY3v79NaM1+3I4OBdIv2++DLbyixXzsq+X69zTOtcA+gAzYpB3QBQQ/0HD7/n8djeN4CrVMo8VajjcRJz4SQgjJKVn2syaEENIY6Vv99WbK8hNa1MNumcvva9nfmhBCBoCs+lnzZFZCCEkHLkPoX2dbwnXSre5xZRBcW54QQkiOkStidNrPWtbT7g1nCCFkuSB3kvRbqBu1TOMa2Lj8JLuCEEJIzsmqn7VcJaPZ3RgJIWS581+1oRbqUGu2ICczfqWZIoQQkktwtYusArGsi322CSGkMWihRn3pXj9ewnPSDWHkKkYrzBQhhJDcgUvJoaJudmvyNOzRYl2Q4ZoQQhoTCtevanG1kKSbx+ASfW9pQ3UsrrWOOzP/EzNFCCGk50j/6G7IcE0IIY2RExe/VYu+1Ke0OKEc3fQQrj+r9W9/jkvx+SczorUbN3lCvYs7MuOqT7ySCCGE9AFU4H4ozsJuXiObEEKGiS9rUW++oZVAjD7XKEPodpHL9vldRhC4V9rRwv3apJvPEEII6TI4U71bEkIIyRYEZ4RuCdJA+mj/UTS8U8tgTQghhBBCSBNC/a1xgiOveU0IITnkgLaTkxpxMmOnN58hhBASBn2pcaKjf01stFy73UBweT9epo8QQnLAS9p2LsX3TVr8FQkZrgkhJHvQYo061u+DLfw/WszHjWfGUUAIIWRwQWsKwNnpDNeEEEIIIWTZ82ntF+2o4Spt6CRFVx+Ga0IIIYQQQjQI1x+1owaGa0IIIYQQQtoEwfgDdrRtGK4JIYQQQgjR4KYE7qWdcOdG3EI3yd/Q+jBcE0IIIYSQZQ+CdBZ3VGS4JoQQQgghy54btLiE0ye134yCNpB1LJgpQgghhBBCljFyOT1CCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBCSDVeuXFGUUkoppZTSzvyzP/uz9zNcU0oppZRSmoEM15RSSimllGYkwzWllFJKKaUZyXBNKaWUUkppRjJcU0oppZRSmpEM15RSSimllGYkwzWllFJKKaUZyXBNKaWUUkppRjJcU0oppZRSmpEM15RSSimllGYkwzWllFJKKaUZyXBNKaWUUkppRjJc06F1w4aimjtx2YzPz25QxWKpbhlKKaWU0ixluKZD6UhxTl2pzKtCYUaHbBuqN4yMqF1R2KaUUkop7YYM13R4Lc/qcF1Ql6NphOvDlxiuKaWUUto9Ga7p0Dq/YUTNHK6F6ZERHbQv1y9HKaWUUpqVDNd0aB1BS/XlKFxHXUT8ZSillFJKs5Thmg6pFTWCLiFRS3VlfoMqzBw25RUJ3JRSSimlGctwTYdTv6XaTBfUzOET8eUopZRSSjOU4ZpSSimlPfWx3XerUqmkSo8eUMePXwous/Tss+quu/QyerkDh46rS5eieUtLqlwuN/X4hfB6Ke22DNeUUkop7YmbV0+afxFfff2imd57z2ozvWXfu7XllvaqMV02tWWfDdQ6TE9OFMxyZy5cUc9+eK19zM79JkTffbNd574Dh8z0zasmzPQ7Zy7U1klpD2W4ppRSSmnXPbrjKhN6T5+PtyivnhxTL58+X51epYP01M6XYsss7b1NFaZ2qkt6/LY1kzqMv1Odh+lCYUqdk5btZz8cn6a0xzJcU0oppbTr2lbrLeqiV760tGRCs5mOWq33vXs2tgysXLKhHOEbLdhSjunCln3V6StLj6uxKIhXyyjtoQzXdCDFNazRApK9vFwfpZR2w6tW2u4aZy+G5xuf3WGWiXUTaeizasIsX2vJprTfMlzTwTS6+od4+MQJValU2nJuruSsi+GaUkq7oXQLKUzVt167mpZovdy+U/Wt175Lj99mln3p1LngfEr7IcM1HVjLs/HWa7nNeVtWwzrDNaWUdssdq1dW6+xXztqTGutcsq3RWMac1BhaJvLx29aY5dxuIpT2W4ZrOtBuGHECdnFXcJm0jpp1MVxTSmk3XTq6w/SrRr3tnsjoe2t01Q85kTG0zFqzzBZ1ITCP0n7JcE0H3pGRKFxrd51o/+6Lth83wzWllHbd6MTFRsEZ2iuBoNtHKIQvqcmx+iuLUNpvGa7p4Ov1v5ZbnrdqpTyrisVScB6llNJstVcPmVLnG10yLwrhO186FZj3ePI8SvsowzUdCuP9r4ud9b+mlFKamUd3bFYPv1p/cqJ/ab6bN26rD9pyab53zsTLtXIzGd4shuZNhms6NMb6X88cDi5DKaVZurhYafvfst66qCqV9rvNdSJC9NTOl71y26Vj58un7XQUov0bzOw1JyyGW7elywhPZqR5M7fhuhIoE8uVSrA8reVKuJwOvln1v6ZhK0fm9T6u/Yg5fon7mC5HF9XEaEE9tP91M33zinFVWP9QLv8x23Mrrs6xXl24eFktHr1XjerP7Rd63NKLOzCivpja8rA6fvy42n33zSZIb3nqleoyS3s3R/XKlNp/4JBaWFhQmybwuCkdnuOB27j0ePWKIqfOBeZT2kfzGa4rc+YDUyrXz6vMFRPnuVYqZVUul1WpVFLFYi1wiaHH0CEwo/7XNGRFjY5MVwNEZX6j2ceXuI/psnNR3Vh6pBamF/eY0Hr2Qv5+bO6592b12rlamL515Qq1/sEvxJbplUtLFROaK5VGYXjJ3H8AIfwSb19OB9RchutSFIzcMjcwhY2fiFYuBZYpFnXgrrV6F/V00NJcbF10sIz3v87+6h9H5md1aB++Ftv5u2bViZaC8hE1ovcxwzUdThfVpg1FNXPAtk43NArX5xvdeTAnIlxvfZonAFLaTXMYrssmFBXnEILtOLpx2HA8Z37R+toQ1eAqD2V7B76yV24fF1A/j7vcMFiO3YWwZny5iioGlinOnTDz/PIk8/DXqNv/urgL2x9erhUrR2bN+g4PQneTwOckSfdxG0f1fpueSfUe2pbrdMsOjItH7D7Q7/P0I8fCy0C93OiIXmbaHmMNl12Gbr9rbsCPiwU1Nqrf2/XrTWhe/9CrgWVq3rNKB9b9Ud/hXHtUjevXc24AfgRQOsjmLlxLuMP4XNSdA/2vMUToLZeKas60SpdMFxH0vzbz2g7X8cfJ87hlg265ZMOCWybda9wytELaIB0qs/vZnY957v6bM9eJzke4hm7/68MdtjRX5jfY1zYgrbSzGzeE/5UJ6L+mI3eN6tda6/4RFl1EhrTVenG3ObYPnk+4e1w0//xFe0zt3nSjOhTqE7oMXbh7kwmjhcKdDa9dnGujVuj9r9e6UtyEvr937g9+JhbuWaXWb91fV55HJ8cL6sy5hOOaUpqZuQrX0pUDX/gSigqlsplnxnXoLUWBGy3bGKLvtV3WCclRn+1Gzklr+DII1yYER/vRL5dxCdv+l0dlToc0J1y78/1wLf805CVcZ9f/umJe6+FldPLexlEdsGcOBefBsdERdXFI98fi7hvN8SLh2XfTuA5a005/W6oDqW3pXb9+vf28rX94YPfPig0zwR+NC3tuUvv9uwku3JMYuvPm6slx9QqDNaU9MVfhWlqqXWWemdah1w4lfBdr87xw7bbM2fn2cVK2nMJ1mtckrduN+txWvKus1IdrLNPZlVyyNov+13LnxmUVpo7cZfZZKEAjeL8xxD80dt84rl/7dEKr/BHTqrntYPItm5ejN22aq+6vFeP6h9kAh+v06h8UA9JCf+/qSfX0qXPBeZTS7M3lCY2hq4WYcKQDYmVOh8Som4exZFtL/ZDnKssWvdbb0ONM2ZCF62LUPWLuRHi+sdrab3+wpDEUrvNop/2v0b1k5nDgb3+3Zby4KzbvyCy6VujyPl1vW/oNw9jl8vSPH3TnQPmlJl1lsNzMoXhL1/zGUfXo8dq+qMzfNfCX41vUPySkC9G2Rw+p8TH93m07WL/cYkVtxDy93PT0tP2h/ugbdcv12k0Is/rHAC61hunFhcfsezy9TV1s+9+a9h34cL24oCai97nOO2vdP1atGFOvHztRPXfh7skV6nRSV6IuevTeW8y2PfLMQTU/vz3qlrNeXZD3/ui9av3Wp6vbWakcUeN62l8PpTQ7cxmubUWmQ1tFB+co6JoyZ9wEbx0Ik1qgRenuULMWHkOPM2VDFq7jJyMmh2fpMw1Lh5u3QLcTrmM3emlmKbtg6va/PtFK/+soQIe6hIyOlEyAmN9gv4hj3U6ikx+P9+GqIjjR8JDZ3op53dO7jsfmj5qTFuM/BkKariGxFvtaMHcd5O4hNyJE6RAq751ttdZB5Vj9dYAXdTCZj+YfP2GDSjtXjTHdSpz919BtB4LrsC6qsZFpvf8rpkvGtgPn1GM3TejhMVU5st18PqcfSXGli4wd5HC952Z7U5L16+80Pz4X9+jgGrp+NbqDuO9TZJpL8d2yciL42KBNQ7A9QfEV97rVOkwX1j9Y3WZ0B/HXm+pSfEt7o6CezvfOsssJpWLuwnXsMnxRCzXG5QMs3Tpc7bxQyHNDJa46Em+dDT3OlA1duLZKf3WYeLlB/KCJloGNbuYzKC3XRqeVuZVwLScyNjxxLxCkTcu115rdD0NBGgE5TWvzXab1rtmJjYOrBGm3dVf6Wx9LOEHRBmMdxgPz0rr7rrvM9fdTuStdy/i4DtePPLJBHXCuZ4wyhuv0Lu652bz3D73qdp9A14+CevVs/Y+tfGjD9UOv1N8anFLaP3Pf5xrWTlpsZH3Ik3mxq4VEAVtOiFxO4VqsXm6vweusOF1vkvphD1S4LtsAHOze0cBy1L2j8cmQ9nrPu47XAuvoyEjrJ0B6J2A2s1m3DjhrWp+dgGx+CKTrP44uIPZ5wvMH20XzI2PbwXhoOrK9PnC7ooU4f5fdW7AtjLFWbrRq68D9eoO+4YuPRZ/hdJ5NeUWUQQ3XkxPYbr+V2obrO3N8mT1pCd/60DO53ef+sdRLQ9tDabfNVbiWVmtYKs2ZVlMEQXvNa7uM7TOG8KdDcoNwKAES3Ub8S/FV5mwgtM+1/MI1LEV/758IzKsZtWIn7I92wnWt318KA49vT3u1j3ZOaEwXrm1rcFG6XyDA+q3WJjgXe/7l599FES3Z1VZrvU0jDVqmhzlcSwu19FMWb2x4JRB7MmOoy0g/XXxsk3kt59zwu3B3fVmdi+YutmlN82MODma4tiF6/xnvx0h0Wb6HXj0bL+/AxcXFcH0XMuU+x10Y8X6b9zzhKjftGNymBAf20ouUdsGcdQvBhzReNleyXThM8NYhz4Zme41rVCSYJ2XymOol/SSUe+FatJXR8gzX1X3SJDjZvsrhAN1OuO5Hn+uR6DnbuRRfqm4h2g3ofhEFarRapw0iXdcE6KgbCEJ/g8vr+Q5zuN4e9XuOt1Db1t6klunF3TbEhi7RN6EDZdKl+3yz63Nt3b4Cre3TsdeCvtd+Wa8cyHAd9aE+cz7+Y2ThnpWmPMtuIdn2uXa1XURae0wD2eea0rbNWbi2LaXlqK80wrA7xJVB3CCNlkC0bkrQdls6Y9d1Xtbh2u5Tv1z2mbRcoyW7dLg+HJgAnWHLda+1l9Hr4CYyUXeSZv207dVBiuqEDuPVFmyZNz9r+s/u6tOdHdGqvuv4pSj027LqNjldWXzrT2gcHm24jl9uTwL3wQvhkLAdNxLxHgOP3GVbwWdm0E96V9MfcVm3XJow67W2m7IUwbwbDmS4jlqo/XBtuork9XJ7epu3PRNvUccl9wqFreqiU0Yp7b25CtduazSG0te6VLYBEV08/FZqOz/qPx24UYqxYbgOOIThOnTnRfd1SjcR9wsRN5BBWeM+1+kv3ddzo2Dc2e3PbZeSpn21o5Mak7p+IOD2qzXbnNSotw0BO1bepIXdPK6Flu5BsnoyY9RFBt1EHjn2qHmvbVeRRTX3Rry1cnxM749AlxHTot23m8rY1nZcKcQtx8mMUoZrUPdy20y4HsA7NCJIuycz7rnFXjnkrBe48+LRe1fX9RFfqV/D1qdPxZajlPbeXPa5xjiG0q1DunlgXPpSm1Yd9LvW4wjdeGziFTCWdbiuqFJJrqhSEz9I3OWwL2XfVi3afwbc5axRX2zH/gSLxtouLe3dOMbVdGVpeuUPe1Jj+NJ7NqC30y0lC81JjXWX3rOX6UvcJrc7SWj+oBvdwlyO320H0Vpt+1Sjdbq+hToKsYGbx+zeNK6DbJ9uKrOw3Wz/6971lRGu5bX587rh4uKCKs/fpcbc60Ovv1MdOnxYnRiYY2hRbXK2f/2dD9X9S5EnF/c8pt9nZ39rtz7zWnDZQXHvvTebvu94LaeSftQsPasmxgpqasouN7XzpfBylPbRXIVrU0FErc/FUkmVnf7XEpwlaLvKMomyz/WyU/p2ZxJoo6t4NGrlnR0dSW7dDp3g2DNt6K/bD9imBte6tpfhG/67UuLa1fHXuBjuinHEhtiDgaCKG44kXbqvn6IBIlROaZ7dbLq2bFEXAvOuLD1uwvc70XW9H7/tVrWfd56kOTRnfa4p7Vy55XmWfZwb3QK92TWtcZOZVi8BmI32pi+h1mecrDhzKOnHQPKtz5eraJ3GPrlQt09si3Z9OaW0HVdPjqnCln3Bebet0cF7aievTEJzL8M1HS6jVuZu3HZ81gTsqE+1aY2eUUXTZaRxCy+uJIJrXlfmZ3vSEoy+0jOlkmmxtndqrF8Gt0fHPH+bKrgVuH7c0HYHaVPT3zpwS3TpSmKuynFkuzrQh9tfUzo8LqnJsYLa+VKo3/izakJ/1rbseycwj9J8yXBNh0rbz7qL15Ou2G4WHy3a1vGZw81PlrRXEml+xZFstH2p0We4UZcY2Sa3jzi6gkx34UfJILt45IjaaC5JWH+VEFH66R54g8Ga0tZcUrfeHF2acGpKvXbIXp/9Xe/Sh0tLFXXzpF1uSi9n7s788CuxZSjNkwzXdGjMtJ81pVpz2bye/CiidJl5dIfpP/3UK3I5QdtqXShMqfOX4ssuVSpqz61rTP3+2jF7mcpLl/J3ngOlIsM1HQqz6mfNk8AopbTb2iC95al3Y+Wmv3VCn2rT3zrpREdKcybDNR0Cy/ayah13abDrQf/o8HxKKaWdunfzatMYcvZivHzVBPpUxwO3O4+X3aODIsM1HXgz62ed8m6MlFJK29deEeSpePnSXtNN5OXToWvG25MZwyc6Upo/Ga7pQDsb9bPOIhDjWtVYV55vHEEppYPtUXvVD69LiLRmnw7cPGZp721mnlzf2vXx225Wr/Ba1zRnMlzTgbUyb2/PPnO482BdnrXrgjwhklJKu6UN1ztfPl1XltSn+sNrV+l5U+qcd6IjRHeRU+d4ciPNlwzXdECN+ll3wV5ci5pSSpen9mTGqZ0vV8tWTxbVJtyZMbp5zN7bbo1dMWRN6ETHZz+simO6XNfZ5tJ8xW082ZHmRoZrOpDaftbdsIvXyKaUUhrd4lzq3ClzYuOOq9A6jekxr291dGWRwM1jnv3wWp7kSHMpwzUdSMvlctcMPR+llNIMXVpSFe9a1bhZTN1l+J7dYUL3vnfOxMu1uDwfT3KkeZThmlJKKaW5dO9t9uYxpwInOqK7SOgkR0r7LcM1pZRSSnOp6W8d9cWOay/Pd+aCX05p/2W4pgMvbnve7p0ZK9G1rTu9syOllNLsXHp2Qd28aULXz/W3Q7favtj79h9QkxNFhmyaKxmu6bJ1ZKSoTlzuLJxTSinN3qVAn+yQaZahtNcyXNMBtqJKpZIqFksdXeGD4ZpSSimlWclwTQdacyOZmcNOWbPrX9dfao/hmlJKKaVZyXBNB9r5DSMd36GR4ZpSSimlWclwTQfaER2MT1xmuKaUUkppPmS4pgNsxXQBiXfzYLcQSimllPZPhms6uFbmdVieMeNzlfbD8SjDNaWUUkozkuGaDrQjIwVVnNkVnNdM9Nf2W7Y77WJCKaWU0uUtwzWllFJKKaUZyXBNKaWUUkppRjJcU0oppZRSmpEM15RSSimllGYkwzWllFJKKaUZyXBNKaWUUkppRjJcU0oppZRSmpEM15RSSimllGYkwzWllFJKKaUZyXBNKaWUUkppRppwTQghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEPL/b+9NoOQ4z/PcGewgSJqU5BvbWZzYjpOcc7MIywxAisu1JSVO7CSO4zhgAGJmAG4WGSeOs9jHlEJSJAYkIZPZ41ikY4AQgZnBgLCdzbaUWKS4o2fgrI4lJqIIEjvAq2sndpLv/m93/91/19Te1TPdM89zznNIdFf/XV1VXV399jffDwAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAFAN/9xpTfX/cVzr/GVn1nKev+HMu2yUDzv/6SL5p529IHz92m7aflVy0Kmx9d/o2Np+/9L5Uo/Uc0I5vtn5ZWfR94Ye9xtOPeaC81bnLc4nnM87dX9RdJycd/p1+T5nFmUe0w1/2Rk+n7bdtzjzEF1XvQ+vc+ZF76vvWCK/yVkFeg06z/0fZ9HtVzVaFx2zP+n8z06/X37Feb0TANr8def/cvr3yZ9zDjuXmnC99N69wbnU6Hz5r5z/26n10mfkNmc/bC+ApeaPO99x+uuAv+Bc7Uwj+pgfcGY9pmp0zfAPnb/j1Dp8xfkHnEvxvta63Oz8Ced/cPpzzRecH3QCAFTN73Kecvprrp3Odc68/LDz6049Vv415wbnYvBtznDd/51T3z+5LoPS6IM4DKO/1xklDLWT1JcEhUSe8DEKcIui9QjH76Vl1i8PvQyuw7HjnkP7QvskukxVFv0hYiWyzxkX+svovtG/45aT/j0Z7nO//aPHWJFQVhQNoXV8/ZLTL6/1WIwPoOjzyh9zJj23Qvzo8j/nLLquP+r0X9oW2zL7M4no9tPxttlZJTqWzjnD15BXrY+2dVWvNwsdH//C6d9jn3GmPff3OLV81rGg4Ezv+7yvo5tx9QPAF53+Nei9y8Xg8uHPOMPQ+m85Vzn7gcUKrv+E8xec/hjPY/S99OvOuOXS1PkgT0CnsPznneHjvsHpUVHErzrDsZP8aad+hP4h5x90ln0vF3nOqP/MqX2pc4u+YPrb9YNJvxx7UI6iwbWuGfTZ5MPZw84iYUmVaF1+0enPORed251VHpPR7VNErY/Oz4v1A57OOyecLzr1/vwp5wec/pyh64p/6/TvX+8xpwL2bq8T9Py6nvbP79V1yqgzz375uPOk0/8gkaSuW+9xatv69daPB593+ufVsbzGCdAL/qRT38fCYz2vn3X+X85u3nNlg2u9x/6bM+6c9knnRudioPV/0+nXX+v0R5xcU0BhfMWuVACliwOFD74aVGFCXJCdhqoj/Zg+SJX6f3+7wrYswuBa6xGG4nFEAzw9ZxJF1ie67GKrfZFWSRsXUGtfhrdnbT+NH1YAZz0n5CM8JrtRgZT2nw+YtT996KjjMwwk87y3QsJx/XOl8bNOv2zVlbt6LbrgXgqTqpu1TnHV0FlqO/mLBZ0/tL/ilkszaZ26IVyv8DiqCoVtGv+/OHXRpr/6ULW3Qhn/vDpufrczCY3hvyzntUjFdvTHiD/rjLuoLPujhbbrFmfShWqV4+o8/V+dfhkq1/ufaCDdSw85e1EhuZjB9XvO6OvqtdpuWUGIqpbC/fj9zugXMYXIv+0Mxy7j60590cvz5beb51QYdKNT6PPnPzn9uSq8DwaPosG1fsTwx7eqnH+/s5vwpQq0Tj7o7EV4rWvB/+HUZ+qXnApide0i81Z8+zG0bF59xXae7ftXnf/T6R/7F53R/ah1+C1n+Bze55zrnWXZ5NSPiXGfYdonNzmT9skDzqLbRsaNq/PTrznDqvdvdC71MQrLDwXX7zujx2Ue9QOwrtO7OS6LBNd6fz7i/E2nXwe9f5TN6fN71hleH2hcfQ/Me50Yrd5eTLUt9d2R9/gKReFm3IHhjYa/acv7YDQrqPPL5aFfKq61DfQlLWwtktfXnP459NrjlslSFTjhfkhC21XP4X9o8P/2z61/J70Wv5xXbSeiy4T2qrXKciUMP4X+rYqmEP2IpItjVVrFLR+tHs6j9mtWMKnjIm9wrfdJmcAtNK1CO7oui2lWYC+0b3T869yYVVEbDa6zltdrV/WKLkiyPpR9OBx9DYtp0er1cJ2LBNc6ho86o+cgWabVSDS4VxAcJRoGe7OqsvU+VbWk1isuuO7VuOJZZ/R1Fdk/sHj0U3CtY0vhzFKcT/68Myt0CoNrHddxrT/0Gj7i9D9CZn1J1Jh/yqll9flY5n2iKqrwHDXijBsnGiIr9Pp9zuiy+mKqz/sfdB5xpv1w97edafs073Pm5Wec/njVF+Ck1wr9TZHg+kec3f7gklShXSbYrVqFt0Wqx8N1LhJc6/0y5dS1ffT65T86w9A1T3AdBugae4cz7hyqdUgKruWPO9c6y6B1T6qSjguYRTRk9v59Z1gpHkUhnIL5086kQFzr449VPb+qsfOGcAB5iAbXbzn/kDPr+qUsaq+hamm9j6WuC/6705+7Dzj1nVXX+fqBXe+T+5xvO8NruaRQOi7clnr/7HWm/bAVBteqnL7Nqe/GPrOo2n/s9OcygmtoEVZJK1TQQagg5UGnvgQIfTmIO6i8UfR4XdD7cfVnzgpNVYWXp4o7WnGti/G45/V+yumXV1Ck549bTuo+LeOXL1qlKsL189ssShjkR38ICAm3VdJYRQnH1H/1bz1/+LrLWmZ7rWT8jz7aD3/JqYvP6DaVPuAMl9eHTtaPTEn6x6eh4yJPcB0Nre9yxr23omr8MHRPa+9RlrCC1W/DqtF50PcXl1nbtkhwHd0HWaGwvgT4C5okdZy96vRjah10Do1btoxa5xCdsx53hl/MQlV57beHtl1cGK0f6b7TqXOr/4KTFnKH2zhPcJ0ntBZhCJy1DkXo1bhC5/Z/44y+Pi7w+o8wuNZ+2uqsaj/pOPjXTn8cFA2uVdkbF7JE1bklPNZUCRm3XKh+EA+Di7LBtc6l3+4MP2P0Fx5+fXY5075IPeP066Htoy+g0WXS9kfe0Fp0GyLr9b/r9K/Nm1b9XHVwrWNE52//mvXllvB68MgbXEdDawUV+lyOvkei6n0YHid/xxn3Vwv6kUZBUNx1hVfXL6p49mMp2NW1adyyZdS1W3ju0frvd/4TZ9y5Sy1Twh9v4sLoJ536qwi9//KE3GEInSe4zhtaC73GMLh+wanr8PAH07hK7SxU7R3+6KDwKzw/ab3iAmZtn/CYUvCnc3gV5xCFcGrXFO4fwmuoksUOrj/h/P+c/vmS1DWV8oHwPanjfyZyW5pJyyf1oo4G171u+fEPnATXUEcXo2GApgtwfbjojaAvAf52BR5aNi0802N10aIvC+GYUlXHGleBdXh7VngdDa4VekcvPkLD59Vz6sInbjmp+8Jq6KJBrF6r1sk/Pum15AmuFYgpwPDL5V2XcPto7GjYHa6j3z96fi1b9LnKPg4ahEF03H7w6rZocB2+F706XnyLDo0VBsNZlcPRADZNrYfWJ1rtnac62RNdv6zgWsv780Vew/eijFsmSX3Rygr3PdHXIpO2Rd7gWu/jMJQo04c7jui6VjVuEjquy/a39mo/KmzVNvFfWKsKrvO2BxGDGFwLvbdpG9L/9HNwnbePdplWIdG2H2WD6/C5e2XSukXbg2S9hqpCZD1vtMpRFa1xwWDVwbWgbcjgoX2mqt7wMydJHUvan2FPa5nVTiRE55JfdGYF13nwY/n3WtEK6aJ009/a68Nknd+rDq7ztAcJ0ffcMLjW9tO5KrzNr2/e0El/pRI3ZrQlwWIH1yJa0a3+3rQNgapY7OA6isLiMMiOtgpRhbaulfz5NlqxneatzrB/vB6r15t0vo0G17p+1Q9F/q/YqlSfSZqYl+Aa6oShaqjCHN8qQl8UpNoaxLWY8KpSTsFp2phazgfGCuNU5Z1GGMz22iJBbDS0lgr44gi3h8IrXYyF6N/RADNuuSi6X/sjuh7Sv5Y8wXVZi2wvWBhc+3+rPYjf1/p/H0iHy+u96Le7t5vgWsvr/erfu9HxfU9iqb+S0PvaV+5qfXRRHq20iaqLSE80KM8TXEfD4V6q15Q3uPaEgamM2+Z5gutomFpluFx0u/eSaKCaFdjqGKsyuI6G6lnbObq8N6ulRxa6sOzFuCHhtpN/08lFXn8RBte9djkG19HjWZ83aqPjX0PWuGHFtLZP3nBN66LqQr/+eR5bZYis9Q6PG4VEcZXPvQiuRXTcrJYlsLTova0qYn899zlnePzoL3QUnuq+u50KYtSuTO8NHVt6H6X95YLUe88fV9GgvJvgusqxukXr8h+cfl3SwmihwKXK4Fqh+tec/vnz9KjWOkRDZj0mGoArgFNQlXVu0DqEbQi0vh9y6nnyBNfRx3uzWoUUQcFZuC4/4ezljx2wcljK4Dra39qrEFffrfTe+aPOp53+XB9Vfw2iZfR5/VGn3ndxy0ktW2QyyejEi1V5yXm7c6nO+9CH6KJGf66tLyD6YJYKlvVvfXH3FckKkLWsDzx9mKYD3C+j23wwqg9jjaH/F7pdH276ty589Zg84Wwc4XrIPAGq3tgKP/xj9HrKoufz48iwGtZvg5Bw+ehrjq5X1KQwPIrGDCfZ1JgaW+uiddJt4f4Jt59uD6tP0/SPkXm2O7TxQXRRtX/0a6h/Txbt/6x9nRWIRcdNC751/OQJlXUM+mBdx2KvA9TFaBUSJQxNtZ+i4XdacB3dJlLbvcrtUuZ4SbNsqK7XGtfXWeqzQH+CHKXq4LpItbUnbb2lWipoPYtuk16N69F7NGwZkrb9YGmIBte/7oz7zC1reKyvxOBaFec+kIszrBwuElwXrbYWVYbIPjgP929ceNyr4FrHStgKQuN+q7PbcWFxyNsqRGhfR6uv49Qx4CdtrDJsrqICOrRsxXY0tA59w/l/O6PHf9XBddFqa5EUXIvoeD6ETnofaxv8e6c/FsKwOxoWJwXXQuPE9bn2KvzSObXsMeNbhvhtWnVVN6xcliq41jEdnUwxVO839ZjWZ364flH9cnpvhRXTcaqK+g87q35tei3Hnf61KH9cjO/qsIwIQ1WFub7C2Yec/n598dWv7j7w1P1JwXVYJa3H6zbdl/TvODRG3Jcxrx9faqy4ZUKjrRbSHqMK0zgUNmg7hGPotYjwNUn/uuLCSh9G+23r9Y/RxWL0cUWCdlVAeML18uur8cPgOmkfRCn7OGig4yr65VmGx6Z/T4X6v2QQ2n8+iNSxqKBU+1u3h/tGf0IUVsNkEY4rsyq2ixINaZOC6+h6LIVFQ/W07Zun4lpoP+n9VTUKx6r60ifL/OCgfZqnfYjOT2FwX2VwrW3bTZCrxyuwyjo2FTjrQjYvvRpXKKgPvxzmCeph8QiDax37/dQqZDHtVXBdxLzBtd9O/n2VNwzuh+A6r3mC6GjLku939vrLO1RDkeC6DHofVhVch+FvFZaZjDBveK5Q6AecfltWGVwr7PkFp/+80Hh5KqTTgmsRPnfc/Z7o80eD6SLBtUdj3u8840zbtgqyVSVa5PzygDM8bjSpXdljEMATDa7z2k3AnRZa63NYPybpfan33KNO30pEWYKuV8LHJwXXn3RudIZV3WWDa80torYe+q74/zjD9iNC60NwDaUJg1MfQipk8EGnbtNFiFqECL0J9EEXF/ZKVWHoYtmHuwpq9Jgw8PXP44NZHbRaJkoYfi+2cYGsXoMP6KUPn0O07RRC6r/RkDtOvUYtpxOM/hvF7wup/89C4aYPOD3hdvTjaHuHIWdZ47YTxOP3pbabjgu/v8N9Ed6ehMYJg+uyrUKihOOWeXwWel1hcJ00fnQ9lsJoOBut1F0KywTGIm9wnoT2W1gZXHQ9wufX8arJPMN/KzzWPo8G2wpZde6qKriOvo60yuw86DyrH5XSjosy+yzPuHnbfoTBf5HHweJAcN2wquB6MYiG4+rxnKfKvMrgOi6QjguO45ZTVb8mu4u7fvfqOv73OtPWLTo27UIGh8UOrsMwtyia7DUa6hZB6xJWShcNrsPn13v2PqevUvZhtM5NYQsPqdes65eqguvo68iqjvZkBdfRQFrGbaNowK1q7zAILhNcR1FVtCZgi56zQvO2/aBdCPSCuOBa32uzPlN1baXipKIhsILkmtO/PxUI6y/F/L9VoKb+z3/Mqfej+ln79VuK4DoaSmsdot85o8uo1Yk+g3SuyuPvcRbdjrCCCMM2qf/Xh/FSE4Z9Mk+AquBC4Yd/TK9eR3Td9JzqFeT/rfA7DMB1fzRsLkP0eeOquvVcPhjVjxFxJwW1iQn3uS5Y4paTVaz3SiDcB2X1+zMMdrWfwgrtcL+FParDlj1J9Dq4rmJ8BZT+8WVC2LIManAdt80Xa4xopbeCYu2v8PZoGO3v87f3c3AdRdsprqq82+fRl+Ky4xJc9zdhcN1rB71ViIJSH5zoc84H1+HtVajXnbad+iG4jva4ThqryueMQnA9uPQ6uI6OXza4rmKcsmPo+01YsesD5fD2aBjt7/O36z3S78G10NhhCxAZBtPRliIKgaPBdhXBdRTtu7h+2HrtWRMuElxDL1jsViEKqv055EGn2jGFfa6jkzOGwXWcScF1nGWCaz3/Vacen9SbOhpcF/WvOHkvQwcKI8NgtZeGQWqIQgAfuiUZhnRa37hlQhXwJQV7ceYJ+0KiwbH0gXoYXGoZLavXGK6P/l+3lSV8jnCssOWIf26PgiHdrt7YungR0YDfvwY9ThNpauzoOJBNuL/D4z7cb9EfU8L74oLrvOYJeaPjhsGyjg39oKF9HobHedRrVVV4OL62Q9GJEMPw2D9e2yd6UduNZaua0whD1Tz7oSqi+7Nsb+owaM6z3/S80aA1DLvTgusoYfCatmw/BNeeuB85qmjREW37kWfc6GNoFdJfRIPrY864a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" alt="R變異量分析表" />
<p class="caption">R變異量分析表</p>
</div>
<p>可以對應到下方R Summary的結果。<br> ## R 中 Linear Model Summary 的各項含意 <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAtEAAAILCAIAAAChDlcZAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAEXRFWHRTb2Z0d2FyZQBTbmlwYXN0ZV0Xzt0AACAASURBVHic7N1/TBt3vjf6tz32GBODgRhIm0KDU6hpgQ3d3a7Ok+aBm4Y2XaTqluhGAimReIhEo4pIbRWZq0RIFyUSXG5aKajKoqc8SMmVkXIVolvJW1rSKFxanef0nLOwwC4ubEyK8wPDxGAwGI899v1jxj/5ZUhCIPt5KVKG+fmdH575zPfHfGXzizwIIYQQQp4x+fNOACGEEEL+KVDMQQghhJCtQDEHIYQQQrYCxRyEEEII2QoUcxBCCCFkK1DMQQghhJCtQDEHIYQQQrYCxRyEEEII2QoUcxBCCCFkK1DMQQghhJCtQDEHIYQQQrYCxRyEEEII2QobiTlGTDWmIWngcjcXMcViaro6Ig1c7LM/zQQSQggh5IWwgZiD45wxA0H2SS5mgBBCCCEkysbKVvRZGdKQbq8uaoo2O/h3li7zyZNFCCGEkBeMbH6RX3+uEVNN58Ty0SWV9W/3N7VYlk/JPttYZXjy1BFCCCHkRRFfzAEA9juXOybK6k/m2+9c7vipuPrcoWB+xnT3xVbHscYqw3T3xdbxg3WnS9OfWXoJIYQQsjPFX7YyNcGJBShTE1x0AQrnsOrSdOIAtHso4CCEEELIMvHkc9jvXO64tkLl0OyzdWk3Wgesy6cYyturCp9G8gghhBDygoi7bCWqAMVxLKK6Btd3xWh7p72qMDTwzFJLCCGEkJ0q7rIVzmGNGQhNsTljBgghhBBCYmykraxYaSNyICjUhjbcmJYQQgghJEL87VYIIYQQQjaP+lshhBBCyFagmIMQQgghW4FiDkIIIYRsBYo5CCGEELIVKOYghBBCyFagmIMQQgghW4FiDkIIIYRsBYo5CCGEELIVKOYghBBCyFagmIMQQgghW4FiDkIIIYRsBcXzTsAGcH1XjD1i17XaE3WnS9NDU+x3Lndc4wAAugPNZ47qVlyeEEIIIc/PRmKOEVNNf2F7VSFGTDU9aZGPdoup6efi+pP5sJiabmRVnzuUGc/6ImII6MvWX0p36HT7IWC6+2LrePSUzNIz9aXiCvs3sEOEEEII2TIbiDk4zhkxkBYxxT7JRQxkxbMyMWci+2zjaYO4zj7TnemqiKwLQgghhLxQNla2os/KkIZ0e6PLL7TZwb+zdHFkcoz8cI3TnqirMgRH6A5VlW4oKYQQQgjZUeKLOUZMNZ0TAICOmh5xlLmmwVxSWf92f1OLBQDQ2nRNnNLZ1Ivss43heGI5S/8EDOWr5WpElrnAUN5eVRhXItcw3X2xdcBKVT0IIYSQ5ye+mCO/qr3Rfudyx0RZ/cl8+53LHT8VB6tf5Ne3T3dfbHUca6wyTHdfbB0/GFW7c0X2SQ764oyVJ46Y2lDR3pgJiLGC+WJfRpwVRAghhBCybcVftjI1wYkFKFMTXHQBCuew6tJ04gC0x56wTkZ+1bnQcHrxQd3AT0+2PgBIP3qu8eiTr4YQQgghmxZPzBHREjWmAKUu7UbrgBUAJowNA+KUloameApErLYpYMXci6GrDebeiL/1cSSREEIIIdtcPDFHZumZ+tKoAhTHsWB1jXONR7m+K0bbO+1VhaGBdVdYUKxFz5AFhcvqfNjvXDb3hkMW+53LHU8hn4MQQgghz1vc3yHlHNaYgdAUmzNmYF26Q++UYKKlwWQJraTPdGd62Tb7uqT8lSc03X2xoanmcvdTWRkhhBBCNmEjbWXFShuRA0GhNrThxrTrKDzZmJF9uaOloUlasKz6XDqAzNKy7Gud5poGMwAYys8azDekRSKKeABra9O10JfExGYp0pQBY8PAsg+VEkIIIeQ5k80v8s87DYQQQgh58VEfb4QQQgjZChRzEEIIIWQrUMxBCCGEkK1AMQchhBBCtgLFHIQQQgjZChRzEEIIIWQrUMxBCCGEkK1AMQchhBBCtgLFHIQQQgjZChRzEEIIIWQr7NSYw2Jquthnf96pIIRsH0NXG64s7yqSELJ9bKSPt6dp6GqDuVccDPdcHy+u70qLJftsVWbshMjO3nQHms8c1cXO8exEdEG31Zt+Dri+K8YesRvhndSdHtd3xdijPdtYZXjeKXky9juXO34qrj53aNlPYJsSf+/ZGzry4jUm9eMYl8I/lv1obDXt2fHnl5AX1kZijhFTTX9he1UhRkw1PWmRj1WLqenn4vqT+bCYmm5kxXOPKDzZWHgSsJiaWjaa5BGTsQcn6pbfVoautg6grLr9+dyIM0vP1JeKN8r+57F9SUQwh83Ec3HSHTrdfkgM8sbjXmgrn5Q77qn8jPxzHQfdodNnbU0tl7tf+KCfkB1qAzEHxzkjBtIiptgnuYiBrKeWuJXY7/RMwFC+wov1yFAvss/+c9xbVzbdffF5Rl2ErEZ6x9gQKa7dIEPZAX3rwJ9Hjp7M3/CyhJBnbWP1OfRZGdKQbm/0a4Q2O/h3lu5ZPvBGfrjGaU+UPZN3952Os4xbkX2MAg7yzyz96DEDenu6ueedEELIcvHlc4yYajonAAAdNT3iKHNNg7mksv7t/qYWCwCgtemaOKWzaaMFt1Eb6kk7Wzze0uOE7kBoIJRTynFO6HIKojI5IipSAC0NTeJASWW99KITWckjsvLBdPfF1vGDdaf39Ei7IJUcr5WGoasNZlu4gHnoaoMZoQ2tISoNmz0469HptMDEjT77yhnpq1R24fquGPtzmsscRukUR9XPiKi38QxLalZPnlQ0cMzWIV1mUXVlok49ACD7bGPhz6HSpZ7Q5Rp9zMPX846rjOIM/amPmGQxBX+Gocs4spRtxeOwJdfkWvWcVvsBIvIERfyQgyJ3dsW6U4bibHQ6OICKVwjZbuKLOfKr2hvtdy53TJTVn8yPLiHOr2+f7r7Y6jjWWGUI3kSe6CbODbTYytvrHlxsHWjpP9Bch7bW8eFpiOvkbM5lWSxSRQqMmGo6EXvrnO6+2DqQVVl/Lh8Q79qtVxBOofNaa5O+rLq9KhMjpprOrjuG06XrpWHjhq52oraxPvQQjaO8Obpahmjdqqn5Vc1lV4ziAyYmPog+DhZTk/EywmvjBoyd2Wcb6w3iDb2zu0CcNGJqQ0V7Y2ZwDeaLfRnPpGbAmsmz9nTcEM8Rhq42mNv6isU0WEwd13CgufGoLrpyqKGx8ORa9RgmWnoONDdW6cSd7RkqXS+QCj7kQgFK3LHm0xPcwdMGQArFIib9XFzfXgVA/BV0XNXVn8wXizNWOw5bdU2uU89ppR9gunjDkba4/Di0cNJJX5UuTY/xyWkYdkg0Scg/j/jrc0xNcGIBytQEF12AwjmsujSdOADtsSf9nYtFJw8A7YnKozp0R0yyT27w5cXSM2DVHagNPht0hypO9Hf8ZLGXpkvpD79a5ReWwDzBrZuGTSg8eSb0VMssKNZi/Uqmmyn/RrAInOu7Yuwx1zSYQ3tn6RmwGsrPBY+DoeyAPiqKCr/mRk3KrzoXWnV68UHdwE94JtZJnqE8+MjMyNbBJs1ln+SgLy4WLwedIUffE+djJvts8DGpy9Ki/wGHwrWuqRFTiyX7bGOVYcRUIwaseGCD9uCWvkQP/bnHWVJ5esWsCN2h0+FLJb+wBBNxrHDrrsm1rfADXPcMcvG8ADjjWhUhZGvFE3NE5I7GFKDUpd2QsmcnjA0D4pSWhqZnlgmfuWcTN/rYfBFYbVOAFHNEBE+FJxsLAWBk8+lbTVRuMJ55nm9E5BF8cQRgMddEvTVqD666gtD9OvbVVr/aEk9uA8kTZe7Rwdrfzx06qpPqsjx5vLsCsThPByC/qr3SVNPadA3Ql1VvaYnM9JpRTlQpCQCUxLHKLb4mV7PCD3BNukOnm3HFKN2I1igaC9cwI4RsH/HEHJmlZ+pLowpQHMeCr8XnGo9yfVeMtnfaqwpDA88uuXG9mK4nXBN2S0hfEwkesfga024uHzt6dkOOvmcg/La3gUBQvF/b71w294aXisrPf/o2F6dyA8Fg95nVkolsPSHl+W+59L1ZGFjlxT2mifgK5RHLPa9r8qkInZFlRaVBTyfDlRDy9MVdtsI5rDEDoSk2Z8zAs6PTaePLWZUYirPRab46UnhSqs/RdY17kva0Gdk69ErZJNItOJ53yrDp7rYeZxzvlE8hH9vSM2BF9rF8YNlxWJ39TueA1VB+btnh5fq6rnFx53NIdQDjjQPiTl6E6e4bljVec6NyQZ6bNY6DOCneSCsjW4dr/UMn8wtD+Y4rnguLKeaajOM4bOE1+XSJBWrLx1v6J2Aop8+CEbINbeSbYGKljciBoFDOQbxZCBH10sUmMPE+n/LfPaHruBZHvb/g/FXtlaaazqbg+9kTvg1nllYe+KlVKgUoqaw+0dMh7UZU/rb48i09EXWH3inpMQcb1GSfrcxu6dl8CtawLLc8oqpd7HGIeUOdCLX30YffmDNLy7KvdQaLPAzlZw3mG9L8UQ1GrMHihniql1rDbSgQPh3rJG8l6Udry0J57JLINg6GqvKSBvOzzgXZPF2aHhNWy493pgvjCKAzS8+UTzSELrz6s/1NwXNR+MeyH43Bo6ovKz/BmSMrdKx4HLbsmlzjd7GGqCtZvCqCwVnMRV5SWb9sVUM/W1BSSc3pCdmOZPOL/PNOwwaNmGo6nTuoieM2t1M/B77sMthxO2IxNUUWcJCnwmJqauFe/M4HCNmhdmAfb/lVzWW41mqyrD8r+edhH+53Ls+B276mu29YAEMhBRxPkVRPhQIOQrar59XH2xMRe1VY9eNX5J9BftVZQ1NLZNnKM/1k2dMUrJBBX6l/yob+vHJPTISQ7WIHlq0QQgghZAfagWUrhBBCCNmBKOYghBBCyFagmIMQQgghW4FiDkIIIYRsBYo5CCGEELIVKOYghBBCyFagmIMQQgghW4FiDkIIIYRsBYo5CCGEELIVNhJzjJhqTEPSwOVuLmKKxdR0dUQauNhnf5oJJIQQQsgLYQMxB8c5YwaC7JNczAAhhBBCSJSNla3oszKkId3e6J4btdnBv7N01G0VIYQQQmLF18fbiKmmc2L56JLK+rf7m1pW6FQ++2wj9e5ICCGEkLD4+5W137ncMVFWfzLffudyx0/F1eF+5Ke7L7Y6jjVWGaa7L7aOH6w7XZr+zNJLCCGEkJ0p/rKVqQlOLECZmuCiC1A4h1WXphMHoN1DAQchhBBCloknn8N+53LHtRUqh2afrUu70TpgXT7FUN5eVfg0kkcIIYSQF0TcZStRBSiOYxHVNbi+K0bbO+1VhaGBZ5ZaQgghhOxUcZetcA5rzEBois0ZM0AIIYQQEmMjbWXFShuRA0GhNrThxrSEEEIIIRHib7dCCCGEELJ51N8KIYQQQrYCxRyEEEII2QoUcxBCCCFkK1DMQQghhJCtQDEHIYQQQrYCxRyEEEII2QoUcxBCCCFkKyiedwJIrEAg4PP5vDzv9/sjR/Je3uPhAchkMoaRJ6oT1YmJDMOIM/j9/qWlpYUFF897ExJUSUnJDMMsLizMu1wANJpdiYm7FArpdPt8voUF18LColwuS9IkqRMTfT6fyzW/tORhWaVGk6RSqWQyWWSqfD6fe3FxybMkl8uVSqXf7/f7/QzDqFQJLMvK5SsEr16vd2HBtbS0pFKpdu3SsCwbM4Pf7xcEwe/38x6Ph/cASFAlyBmG5z08z8vlchWrSlCrlUplKAEe3sOyrFLJBgIBvyAEAoHIFcpkMoVSuVp6CCGEPF/0TbDtJRAIuBcXZ2YccrnM7xcgPlJl8At+VqXcn5MzOzvrE4Rdu3b9+quNUapSU1NVKlUgEJibc7pc86napMyMjNlZp52bUanYJfeiIe81AGP/sCpYVWpqmkKh8Pv9Dsdj+H37Xs32eHjrvV93aZI8Hj5pV8KezAzu8eNpbkaXnqFWq0OpEhcJCL7du1MXF92PHk3u3p0GQAbZwtJScrI2KSlZJpMFIgiC8Pjx4wQlk539yoTt/rzLnZ6ezqpUAMRoxrO0NOuc9QvC0tJSgorV6dIAPH4841pc3JORnpCQ4OV518IC7xVSUlNVqgSHw8EqZBqNZm5ubopzpKVoxQ1FHj2ZXAbIWFVCSkpqKMAihBCyTVDMsb14vd5puz33tX0x2Qwrstun7NxjjSZJEPzuhfmiwjdDk/7S/1dBEH7/u7dCYyyjY3KGTUlJ8XiWZhyPiwreCE36nz//R2qK9vW8XPFPl8t1b+Jhenq6kmWVSqVMJltwuRwOLv/13BWT8XfLWEbmHrlcPjs7w3s8giAEAuC9nhRtkn7fPnEeQfD/x18Gdu3SAJDJEAgEFt2LxUUFYh5GpMlJ+549mdHrHw0EZEkadXbWK+seEwA22wOZQpmSkhrPzIQQQrYMZUFvLz6fTyYPyGT33OW5jqzwP9ctALddWR+5rePu8lxn2ziAzMyMojfzF1xzapWiqPBN3DI6sqRJbxX/5ve/ewvWr53SsjDk5SYlqiZ+vcdN2YsK3hDaPnKUfy0AANJ3p2W94gutVqPRBPze+bnZafuka37e6/U+fvw465Uxl7SqcSltn98W05yi1Tids48fP05LSTLk7X8zP6/gjby3flOo37dPaPvIkWXkAYaR/+H3bxW8kVfwRt6b+XkFb7z+9m+L5f/juJSGW0ZxNgB79vzNlZXrbLvtLpdS/oYhz25/lP1La2ge/vOogxP8J03Nytq7sLC4VWeMEEJIvF6kmGPoakNTTYPJssYsI6Z1ZlgP13elpqGppqGppuHKneknWNEqZDJZIAAgR20eS+uoACo0trE025jmCIAcpmhYsOaoP60QLvwplD1V+OYbr+x9GQCONGvPFwgXPnNLPf/edpU0C0VG9RFpzpde2vO7t35TfKAIuO2+MMx8+K5YGWT/fn3i5E/8YAFbliOts+DN1/bnvJ63/7GDm5qaYuRQ/9//nUcFeySYtl4jc/07KUrIzOSmpz3uxRStNnpvxvlvhnH8/dh6HGvy+6XiEsZQwFdLYcS+V7MW9/43zfEuV9ZH0t4db0uzjYX/dVREr8QPQggh28xGyrxHTDX9he1VhRgx1fSkNZ85Gupd1mJq+rm4/mQ+LKamG1nV5w5lrrUecVWdE+E/dQci17ad6Q6dbj8ETHdfbB1/FutXKpWBgGx+3pWUpBHujqKoXAwL+M9zXdcBANW5DgCAK6sLRUat+RQDCG0fOS8Mh1biLsl1h/4YbHZmNQNgzn+vrc2JWtWF9xwXgONtaZcOCz1mAcMRC1ZobM0skKpNnrDdf3t3v+vCMNtxU4wexsfv5ehPqY/nuts+Zmtz5HJ59isv/zphA267smpjy+oGax3XY0ZJK1+RXC4WKuWwl75QW97jbzWzR6DPyRm/92vOpTFt3kfOr25r1jyGzrk5qkNKCCHb0AZiDo5zRgykRUyxT3IRA1lxri/7bGOVAQCGrjaYjaa97VWF8SdmJYUnGwtPPtkqnjuGYTRJGssvo7//3VvC6DAGh51ZzVJuxyXA+rWzxMz21gkltTwqNOZTYkTC1N5Mq41YizTbTbV+lc0cb0u7dBhi/AGI2R5sh5ibAtwyOr7MFdcsl8n+8Pu5xVdbcP57capzbu4f1nHr+L13L7XxWe+59o9pjuCll/YwDAOka2xjEWloRjDQWVUwJAIqlk3LUZvHwn/se1XaU4D/PGo+h2Mm8nKUBaupEkII2VY29jqoz8qQhnR7o7MltNnBv7N062VyxCp82wBwD7gNLvai8nq96ek64DZ/vUDdG1VqEMyNqBXOf5/WAVewBgNw2xVZs6GkWcy0WF7Xwev1Lt8i/3ltsNwk1ksv/X3x1Y/5422h0EGbnFz27v/y7uFS4LCmo4KvlmpdZGSkP3z46N9+/ncAwLi7rllAhbo2J7LiSKSf//0/mNqbkSUjQttHjqxcR1YtDwgX3pNSHlyW/zy8FzHS0qi6KCGE7ADx5XOEi0I6anrEUeaaBnNJZf3b/U0tYv2I1qZr4pTOpt5wHkYcprtvWKAvKw4FMVzfFWOPlKeiL4sqqbGYgptDZImM/c7ljmtczMiQoasN5t7wn9kRW9GG0sn1XTH254SWjUwDDOXx5cFEbSgm5dIxXG9VXq/XNT//hiEXt77ii8q1esAKFOWi7SPHhWGgQmO7ybR95LzwngNgzn8fLKE4HM5gwFr5HEqlctlj2woUsOdz3VlG2JpZQLg7CohNVG67smqF899r8ZkjqzZ2OQBFRm1HhbPayNuaWeDll19KSdEC4+7y99yDYDuaWWB5tCH67VvFMWOCuTW3XVm1fDAnJmic+WQs7ZOvnVm57vPfqwFcX6HIJjggCxbQEEII2Ubiiznyq9ob7Xcud0yU1Z/Mt9+53PFTcfCBml/fPt19sdVxrLHKMN19sXX8YN3p0vR4VjrR0tAkDpVU1p/Ml8YGQ4HTwWKXjouQtsX1XWnhDjQ3Lq/5kVl6pr5UihtiJg1dbTDbyqrbxdSOmGo640jaiKkNFe2NmYBYdcN8sS9jvUoq9juXIza0WUtutyZRLZfL+W+7MAhnOTQfjgK5TO3NtLKvnSVjQttHrtG6NFvU81h8xseIqtUBRNWiiHxgH9ezl26y1q+dF7rE+hkRi4RCmZtptbGhjND2kfMb4Ehzmi28QGLi/wxV6eCDVU+A4WABCoACde9NtR6hr5mtzGIVcJgB/H7/2D/uenivl//rfv3/lmI7BQAYS7t025VVi44xjT42wHK5XPRxDkII2YbiL1uZmuDEApSpCS66AIVzWHVpOnEA2j1xBRwAss821rc3lpdEjRz6c4+zpDKUR1L4xzKttb8/XOzCjQ9vpLUI1/djr+5A7UbjgPyqcISRXnww7tqtUUldts72xvp48ksUSgVwm79eobF9r0azK6KBCTCKsjo22GAkKEdtDpVQSO1cVvoXUW0z2OhDczw4Rn9Kc74gsjmM6NdfJ3w+nzgs9JiFonI2+GgXRocRS8yiMKqLwpvQni9AkVErpqHXyETNHCz6qe4Kj771HQ9g0MxbAcDpnJudc2VmvvTS3r3Dfx/BLWOoje5qZmZnF10LK5YiEUIIeY7ieR2MKLmIKUCpS7vROmAFgAljw4A4paWhKe7CCACFfyz70djT/cf8cO5Fb2dTb+QswQm6Q6ebccUopUF7Io4MFc7mXFb1JB4xxTFYrS5mhMzSM9W43CEdh822xFElJEw+cni9hzRiTkarkS9pZvaPu7LeE6MBd0ktAD5LfEhHNQDhv+1CkVH4PHdZoQNCuQtrYGrr2Au17raPNQAMejE4mOYez84tzM7OvLJXePmbYebDL8TxdvtUasRso2P/mLA9+Jc//EFjGwPG3eXNq2wk0mFNr1HKorAaHdXSWOHuKIqMakOz+6vb6kuHU1NTNIlqwS8EAgHdbrf7YheQK+AwY7UKKGBX2qM338i3T03Pz8+lpe2OIxmEEEK2SDwxR2bpmfrSqAIUx7FgNYhzjUe5vitG2zvtVYWhgQ2lQHfonZKeH4enEQogIotals18uv0QIBajtF7BemGHLkuL/gccCjfy+LffuWzuDYdN9juXO36Ka0GpiEdcxHgZmwg7lEqlNiXlr0N/+91bBwDwXzULRUbNkcOMbQxiccZoXdqlw/znuS6L1FD27yMWQRAKC+z8dTDn31XXnlJfgjTzN+XaYNuWdVl+eUV/HO7oDAwFy6oSElK0yfv+cdU5WKBuzQEQCAT+9d/+7Y8Ry8rl8lf35fxqe/hq1t5du+La3H/+519+u0LVz9vuC8PM+S/U+8fc1a3uTw6r9divzxkesQQCeHPS7B4sUPeeYqTqtHmMWN8luKwrq5XpvanWIzMjfWTUSjEHIYRsK3GXrXAOa8xAaIrNGTOwQYVvG5zXOrs5aRi9net/tktnyIkj7wE6nTZcHBP9URCdTgs4J6eBmBqj0bi+rmsbblGTWVCsjR03YqppaKoxDa27sCAICobx+/24ZXRdB/tpOGhgysqZ67WOLDHg0LuzjDzwRr6hsOBNse2Jeu2GqWtacLnYS2MxTVtnZxysQla0619dNTeZ81+IOSUymex//bBAsIDJk2b2+oTkpCRdesbg30bi3NzLL78E65gUN4T2va1V2osjzZrjw+66rwUgIUGV82rW7tR52Vf/L47XqfUQQ5PYr41ZraH6qn6/P0CfBSOEkG1mI1XtxEobkQNBoTa04ca0G2EoO6BvHWjrKz53KNNQVX/W1BSqXoqIBiBRjVaAksp6KZNjuvuiVMQDYMDYMBAuecmvai4LFsfoDjTXpbW1Bus15ledNTS1hCZVOoxSk5zM0rLsa53mmgYzABjKzxrMN6RlIoqZAGtr07Vw8mJbx5xdoa7r+niedy8uHvhNIaxfO6u7cLxNE27CettV0iw+VtlPTzG3jHxRrtgPm9D2ket6gbp31Q9txeO3vxU7ZxkXLGA+zAHg9/vfOvCb5J8vOqq7mJW+tMHsl8b4/QEly7Ism6JNWXnt1q+dYuKLjGKByEsvvcT/X1043sZGzOO6MMyc/0Icw15qY7NqnZ/r0y4d3p2WlvL/XHIOFqhbDwe/PFahiWrYEsXj4RXLenIhhBDyfFEfb9uL2+12zc3m7BPc5e+5DcH2otIDO1h7I/j8Dn7FK9iC48jKDViCpCod4e+QioKtUsMfMw1+3nSa43b3/5+z/+1m+HNhkZ8xDc7mDwR+GRvfu3evXC5/9OjRvqyXIntuW7GIZ9HtTlT/azDZwC2joxrs8S4eUmJ+GR1zOufe3t0fapPCf57rzvteW5vDf57ruh6uyPLo0b+nnKqS9jq4Lw8ePvJDnpoa+akwQgghzxnFHNuLz+ebstsz01O1Wi2AxcXFvwwM/v63xSqVCoDb7Y7sYh6Ae2lpcWFR7Fn+SbhcLgAaTfir4l6v9z/7/6rTpb2mlwo/5ubmh4b//tprOZkZUblZ1vF7CYma5GQtgPm5ucVFV/YrLyuVSsfMzJxzbt++V2N2cJp7fO/Xib17X8p+ZeV+YmdmZienz9tORgAAIABJREFUOCXLygL+/fp9q6U5EAiMjv3DMTv3hiFXm5wcGs/z/N3xiYzMPeJBI4QQsk1QzLHtLC0tcRyXwCqUSoVzzqVOTOSXPEpW4XYvBQIAIPh9urRUjWbX/Lzr8Ywz4A/odqfI5XK7fVqj2SWXi73ExZLJIJPJnM65tNRUrTbZ6/Pev/8wISFBq032+/2PHbMAXn4pUwb4fL5Ft5vnBU1y0uKiO4Fl0lJTpqY5Dy9okjQLLleKNolVKmUymYf3OOdcqgR1amqa+L0NQRAWFxZcCwuCIMhkMi/vyUhPS05K8nh42/2H/gBYlSoxUa1iVfOueb/Pq9Ptfvz4scfDZ2akp6SkKJWKh48m5+YXdenpCoXi8WNOIZclJqofPHzk8wmv7H0pMVE9OvqPtLRUbXKyfZrTJCUnqBJmZmcVcigVDACvz+f1+dPSdqsTE+kL6IQQsq1QzLEdeb1ez9KSP+BXqRKUSqUgCD6fTy6XsywLwOPxuN2LXq+XZVm1OlEmky0tuf1+v4JRABD8q335E3KZXC6X817e6/UyDKNiVQC8Pq9cLlcqWQQCS54lcUMqVqVKkDa9uLjg8XhUKlVi4i6GYcSt8zwPQKFQqBPUCWr1in2qBQIBnucXFlweD69QMLsSd6kSEkKfAhMEYcnt9vAeuVwuk8l4nvd4eJlMplYnaDRJ4p76fD734qLgF1hWJe6mIAgsywYCAb/fr1IlJCQkyOVyn8/nWVrivTwApUIppvzpnxVCCCFPhmIOQgghhGwF6vKbEEIIIVuBYg5CCCGEbAWKOQghhBCyFSjmIIQQQshWoJiDEEIIIVuBYg5CCCGEbAWKOQghhBCyFSjmWBXXd6Wmoelin/15J4TEY+hqQ9PVkdgxNQ3r91FMCCFka2ykX9kRU01/YXtVIUZMNT1pzWfC/aZaTE0/F9efzIfF1HQjS+oGdnsTe4jNPttYZQAQ7M6+pLL+ZP5zTtnzIfbNqzsQeVoRPCzicKiD36eNzsUzEt3XsaG8vaowPDGyN+Zl532bGjHVdE5EXIdDVxvMvTsl8YSQDcUcHOeMGIjsVMw+yUUMZD21xD1jWr1u4ucRGPIB2If7oY++b+kOnW4/9HxStrXsdy53XMOBEwZYuagJXN8VY4/2bONpA8RHVMdFPKOwY51zsSmFJxsLTz75anawyCMwdLXBfLEvQzp9090XWweyKuvP5UO8AIyXsTOe3Dot+vu5Q0d1AEaGbDrt804QIWQDNla2os8Kdiiq2xt9e9JmB//O0m3/TA7JweLs3v4hAJju/0mXc/B5p+e54Pq6fiqubj9zdE/MhOnuth5nSaWU94D0o7VlWmvPD8+oqILOxTNW+LYBVtsUAMB+p3PAaigPZiNlllYe0HMDfx5ZY/FtQ5dzEOPD0wBg6XceLKaYg5CdJL58jhFTTecEAKCjpkccZa5pMJdU1r/d39QiPoVam66JUzqbehHOJ9+upiY4ZBsKS3qGLCjUWcaziivQM2Dj7EBmxP4iOod/6GqDGZXV2T0d18QsgZj86h1Id+j0uRUncA4rso9FlG7oDDn6noFgbsRTtOa5WLN8x2IKXn4AgBLpf7GwRkz0soz3yDKF8IVqv3O546fi6mO2DmmFL1iO/XT3DQtKKsVrdWqCQ0lZxHWbXnxQN3Ctf+hk/ra+mDnOCRQWFI+3Weyl6VM/czl/LHaAc3CAeKYir4fQpSKODP+QYwtoyFPg9/uX3G73klsul6vViQzD8B6PT/ApFUolywqC4HYvBgIBtToxISEh1OFzIBDwer1escNIpZJlWZlMJvbsyHt5FatSJyaGeoUE4PV6l9xuwS8kJKhVKpVMJgsEheaRBYXGCILA87zg8wGQM8zy7qblcjnDMAzD+P1+QRACK3XMHbmUuH4muCqxM0svzwcCASXLiv1TivsVGhPqBTMQCCwtLS0tuQGIeyFO8vl8PM8H/H5GoYic/8UTX8yRX9XeaL9zuWOirP5kvnR3ln6x+fXt090XWx3HGqsM090XW8cP1p0uTX+maX6KCt82mH8esWf3a98+g8me4Oj8qvZGSBHGMr2dHSWV9e354tPLfHWk8IWsdsBxTuhyoh666XuzMPDMNrjyuYgq38HQ1YZw+Y7F1NTCHWhuFCODyJOVWXqmvlRctj9mK0NXO1HbWK8DxDij5XJ3KLaw9nTcKKtur8oU19bWV7zzH0vhKh36smrpQp1+YIP2YNSpzdyzc8IrnSEHnf2czmErfleHH0Ljub4rPxfXt1cBEAOLjqu6+pP5MFTVN/ddMXaa3hbvURRwPG2BQMDlmp9zzqbr0vyC/969cYWC2aVWq1Sse8HlnHMplEyaVpuWlmK9Z8tIz2BVKs/S0qJ7ccm9FAj4E1SsTIYlDx8IyBRKJe/xsEomO/uViYn7roWF3bt3i91EezwejuOUDFJTUu7ZflWxCYxC4ReEQCAQ8PvDqZHJGLlcwSoVCoUgCF6vz+f1yuVIUKl8Ph/v9S6PORiGCQRkwbUJQuTaxGgjOgyRQSaXy2VyJjFRzTCM2+3meY9KqZTJMDvr9fn8crlcJgskqNhAAF6nTyZXaDS7lEqWZVnP0hLHTb/y8p6Z2VnHgitBnahWJy4tuV3z8woFI0MAMjmrSkhJSY0Mtl4k8dfnmJrgxAKUqQkuugCFc1h1aTpxANpjOybgAABDcXZLT5de9845ZCK+22743v1sn8H/dFY6F0N/7nGWVJ4O5pkV/rHsR6NYnD/dfcOiPVG30ayIwpNnQq/ymQXFWkQGJYby4KMoI1sH2xPsy7YRqtJhv3O5o6b/hci8SS8+iK62HhyszATS9HCIo3WHToer7+QXlmAi9Jfu0OmztqYWU/cJbsBqKG+ngOOpcrvdMw7HG4Zc8XGenr7qJVb0pmHwbyMKRpmoZnenaFP2xdb+c8zMpKWmisOG13M57vHs7Mzu3Tq/389xXIYuJTUlBUBqaorf73fMzOh2715xQw8fPlryeLRJSQkJCbt2JS6PM2L4/f5fRscMr+etO2eIx+MZv/erTCZXqdjXXs8Njff5fB6PZ9euXaExdvvUrHOWUSh9Pj/P80UFBgBabTKA4b+PcNx0SnLSG4bwGu5a7y0suJKTX8xyw3hijoic6pgClLq0G1I29YSxQXr6tjQ07YASh+kHNiAbQH5hSacZwXxmq21KzM8nACJzrYEV34+fhrXOBQD0djb1Rs6vk9K2uQA3pjgmzkBz58ssrTzwU+v48DRKAcA5wQHho2ef5KAvzlht4W2Cs4lFbJkFxbjWn1ObDkwDcE5Ow5AeU2oGhMvaAMBQVV7SYL6mO9C8zW9NOw3P89zU1J4MnUx2z13+ntvQlnbpMDAu3PqTq7qL6fherc9h9MAto6Mamt7mojfz/7++n/7roZeFW//JA4DVXd2M823q/QCg1R9GqjjzqLr3pk6/e+zf/sPjXvIJglIhS01JEdo+cl7I0/Q2s3q5bvduYJxv+xM/Gp2mvI9frs2BdVyY+6swYF36doy/Psp0fMF8+xm/Yn00Q5320uF8w+uwfu2qMwvLpmryvnPHbuJ9de1hw+t50p/Wr50lzUzHmOYIFAqFQqGIHJOZmZGZmQHAbp+atE8B4D/PdVmMWvOpvNzXWKVSXIe0a7bm/fp9lrHxpKTk+AOgHSSemCOz9Ex9aVQBiuNYsLrGucajXN8Vo+2d9qrC0MCzTfJTVniycWcleIssr73BWcafcT7Wyudi5UazujQ9xqWHTdy4vistluhGubGFLy+ucJS2rPbGdP9P3E6q/b1Sm7Khq60DKKtuj2hGGzHVfuey2VZWfdbWYTTt3Wn3qO3L7/fPzjh0upTdu9OEthr3YIWmNYe3Al995rYARQXCl5+5DOWaS3p3dRdz/nvGelvQH/6vhw4Ct93VtTwKmKJhAcCFVnfRsDAItmNMowf/bReKjKweAP7lD7/z+/2/Tthezc6C9WvXhWFg2FXSBQBFRq35XWF0VLAMC4MACpgiCIPDOP4+kMN/9Z7rupjMAuZ4OaMfh2UYBiMLs9uSp/4Q/IVR5nw5vmnmI/ZIGBzGcaP6Az0AwMp/GTl1lL8+zBRVMFK+67i7/D33YMSy1bkOFKh764SSWj48BsGknsrMzPiPv/T/pqggtAirVAK3XeWtzKc32Yhk2CcfAdi1KzEpKVmh2MgnLba9uHeGc1hjBkJTbM6YgR1Cu2dHFQNtNbFeoVgKjlAzltPPpmrwauei8G2DuSWUhqjk7c3CwE8We2l6ZqjWQsmK61jNdHdbj/OfJp9j6GrnBAzlBkAqVOoJVUWSmrGc2wnVksJN59ZkMUVdDxZTxzUcaD6UqUN5SWSbYfJkBEHweb0Z6VnCLaPzwjBTlOeue08wtKV9Uid89Z2YYcB8oOfLa3kUsKOfOS9A3XtYrYdwyyoAzPk69X4xn0MaEO7eFo7kCBYAZvfnYwCAXPWlUzn7XgVuu0qahSKjtvVd4Ad3STNv0DPIUV+6qcZtV1YtOm5qjoy7y99zAwDYS99rP4Hw1XsuS7nmE71ghQAgT88AsOQy+wGMMvv1K+zU9eZgsAIAMICpbdYAuGV0XAfb2qwOLqRu/V4KFKw/uKqbmY7v1Xow+hz0fi9EjAEA5Ii1M8o/eD92e7e+4weh1gN3w+NKDv0XAA8ePJqbc6ampr1IGR4bCaDEShuRA0GhG0Gcd4Tnb1nkFCkq+13M2N/+pUWbFtFIBxgwNgwA2hN1p0vTM0vPVONyR0tDkzjtWX2ka81zYaiqP2tqCqUB4fYIhSfrHlxsFRtSaU/UVZ/o7JB2IyqPPXKPoDv0TkmPObi27LOV2S09eGFFlzVIFZ8BALpDp5txxRgqtNoZl/fan/8p/GPZj8YeqWGdvqz8BGeeAIJFw6GqP4UnK4dqOjtqbDtil7e7QCDg9XkBMMhlj1cI17uEIqP20mFgnPngffEpy+hzBEMFK2YSnG9j9QDGhbtmAPjmO94wGj1gFcqs/CAACINdAoCiChZgMO4ur+VRoTGfYjDuLm/mpQ0BgNDWyqMgFAoweTkA+M/fc6FNI87Q0+oaLVcbCvBNqxtgBptd1UBRAf9lK1AQU1eTOd+mKcsBAIzzdbVuQCxz4QeHAbjrPuIB5tObmiOAXookoH9X3aFn9DnCV7lOi1FrPsUExzD6cf4W2CPBtVvHBeQAwKCZt55Si5k6KOC/MgqWYQDuz41iHgnzwcd7j+RYRq1abcqLVJ9UNr/Irz8X+Wc2YqrpxLZv/Ew2QWz7Td97JZvE8/x920RRQT4wzn/+met6nqYD7mqoe3PdJc1iPgfbMabG167qZpxvY7+pDVb4uO3KqhWKKhjDqHB9GMEBpmNMfVeq1sAE6zeIeQnCLaOzuit6+wXq3i/w1Wfu68PM+e/Vo5+5rg+LW9QcAW4ZHV/mqg3NbotRbWjm877XlkGqq2H9k7Mamt6PgxFDMHRYpT6H9hOrs8TMnK9j9wN3v3Nf6BIraoyOjuVNfO38MlzXQxgcBsBIpSd5avP7fHktP1gR3ou2j5zflKsNze7rACo0ve/zwYKYGMz577W1OX8fGdublfUixRwvVEEReSbyC0tgvtFnP3coE9PdF3v2nqMXxBdE4dsGc0tP9x/zj+pgv3P5hz1nKLIkGxAIBBISVACENvF5P+z6sgAY5q3fqzukbAdG/7VLjD8utPJFBYzFKuAwgxx1R5sAALnu68P48H12//v4AIx+nP9yGMfrWCDm2c8ceZ9FFzq+Z+9+5vqmXPMp3NVmYFywgO34XnMkB9Y6zQcAcqRMBX0uaxDTMAZUsGVw10VVv5AqhQA4LoZBgP6U5tMxx7e52kunGEBo+8iFOm3tYVhXzorNy8uF4mP1p+OhMcKXtW5UsJ++zwC4+507q1YoCgccAITRYRjqGEj5N+j5jg8GSUJ0jCXttVL5gn2rg2IOsq7IUgyUVB593ukhT42hqvrE5Q6p0ZmhvP15p4fsOAsLiwCYsjrN/hxGPy4gR/jqB1b/g6vEjON5uN7FdIxpOvQ4chi3xqH/gbe+ywDAuPvLVgEAQnVIAYD5tA6DBerWwxAfz0XlDDBi+SU5KWnv3hW3f1jz6XfOL3/g9XAH24lAXP9XZsECfhBAF48CxpoTUf0iOp9DLOwAgNuu6i62w+jO+ggd5bgAtsPqzPpO3ZELDPPfhBMs7sLyJjMCgMFR4VsIGBWuDwsAYwD/uZFHrvrSKQbjggWQ4vpctVnvzqpFkVF9BCsa+OtQmi79RarMAYo5SFzSj55rpFDjhSR9P42QTfB5vWq1CmKFiW/KNR+a3ShnLc3uHmPEXLfd1bXoaEP1d2wH3F+CPXKKATA4zHR8r9aPu0tq0fGFNIDDml64vzK6P2lmABj0DCD4hEW3WDEUfPV7PAAMu6oBFAAQ7o4KgNADAMLd2zwgZnUweXniVgQUMIY8BsHslqBwPgekrAj+81oeQHUzjrdpvq11AagexvE2Vm91o0DdelOtl5rFrnZAGEMFBrv468NAAXu8YsUSESYvB1KkcljT28bj8GoFJ1pt8oofRd3RKOYghBCyGT7Bl5yUBIzz3wwzH37BwAzo2U+Ngl4vjOYJAI5XMLDyqFAfAV8EQf++2hAupwgGEEBwgAWgh3C9S8jLZa6DOZ8DwOPlE3clijOysWUrt90XhoFhqdDkQq0LQJFRe+QUW9vMWr92XgcwLOR9oTmSo7adkiKG899ra3Nwy+io7mLDWSNgP2lTW2rdgxWaTw6zaFOj1X09T/NBjgArMOwuyXUHU84AQA5bG1EOYr3t/qqVF/M2wrVQAYDRh4Zz1OYxNcB/HhyhB5+V6wof0WFXlhgJFah7b+boXx29++vmTs22RTEHIYSQzVAqlNy04+WXXhcfpcBNjVTTs4A9Ln0vS/h2jDkO/vPvYIDw1XfIE0s0DmtsYxC/jnW9QmNrZm7dFvSHWT2Aw+xxuC40CwC7PwfA/PxChm6VRu093/EoUPfeVCP8Da4Q/ispY0O48J4TbWp8JxaFCBc+c43mCde7gAJ8a3Td/VhTmwNAsH7nHgRzHO4SI3pz+evDzPE8d/VnbEc5UKDu+ILVS81ipQ1Yx3nrD/y3Zv76cGSihAu1zguhvwrUvTfVety1jj98NJn/ep5OF/nt1BzmeIUUuFi6+MEC5ngeAwC5DLC46JbLX6iCFVDMQQghZHMUSiXv80l/WG+7v2p1Xx8WW20IltjWHCgSW6WOA4j+mlZX8OUe0hP6EyNzvVlAhVgb1OVyJagTxMmxZStlH2v2j8N6m787hoiyFeZIDnPL6LoufnPMqPlwjN+fI34AgzlewVhG+euj4Yd9KJ3fjgabnHTxX1UIRQUMwBRBuDsGDPPf/kkAgNFgfQ6Inx1jiioYDAtFRk3ru7GlJNY/Oaul4+BaWHx57yu/2u7HxBzqS1IEI7SN8oN56kvhvBPLkDVN96J9RYpiDkIIIZsRCAQUDAPpu93DKKrQ9NYJX7UKeXXq2sPBipafuQallp+hBdWt37M9f3Je6GKOt2k+gbuulof0zGb0QHQzkVf2vpyUlASrVQjmGQBivQozrD+4qyNqaYhlK6jQ2D7mv+zC8TY1al0WMLXNGus4j/fZ/QCAvFF+EGzwCyIAxDCC/aRO6AFbliN88jFj/YH54GPm7md83heasnH3KILVP/PY43mMHgDYS2NplwCMu8u73IPNrpXreUhfHVUoFGq12u1OiJns9/uXt0zx+/0ul0utTnC7lzQa34v0KdIXZ08IIYRsJd7jUSgYAEztTW0ZxCexkPed60Kt85sC9sNyfNPMDxZIbVkj6XOwP5ctKuCv1zqvAwDbcYqVWtfedpU0Cyhg0OUqz9WaTx34TSEAWMcESA/7iPWc0tpOAVE9nkg+bWOPHBZCNSesf3KHPqQhft3ry9ZgzJGnPtLMAEJPq/tCHjDqFuvDfgPth+C/+UGoPcXmtTqvg/30C/bbz/i8L8S455dfRpOSk19+CYD0dfPYfI5bRkd1VMsWGWLLSlZsCiuXy5OTk5OTk0fH7roXF5OSk5fPs0NRzEEIIWQzfIIvLTUVGBdujQuAYLXy345BbJUxOCx+uBMYFr78zPVtHpDLfqAHwBw5jFu3+btjAsQylwoWXXx1rqOoQtP6Pl9XK1XRsBqd1c3OcojPcrETFgZiIc53AkZjP94VdO/er4tu977/8i+JkR/5ONKsDYUjYodz5ubYspXRYRyvU++He3AMn+ZhcExorVPvh/D5R67rw8zxNs0R8N+Cv/Ce4xuj1nxKlZBg+WVMsytVCWCw2Zm1Vj4HZDIZZEBkO5TYHlsi6pBCbE2zX79v4sFkEijmIIQQ8s9NwSjm5+cy0nOEb99zWaSPiDOGPLajjtUfZvSAdVywjvPffidgVLCMui0AyjVHDuNuq/sC2PNGdauYvdEM6213D1h9jmCoUIt9muibtb25zq/00mo/MLJ57zIA9DmwjAoAc7yc1WPsH3dzX9uP4Nc/H03a51xubYp2+O+Wt39XDBQEu2TDXweHZXJZUcGbAJgiaeTfR37x+4V9+17V7JoSUMB+cBh6q/r8u8wRaHvB6HOgB/9ta6hsiL10U/uB0fWtngF4rzc9PUMm88FQwKBc0/pu7AGy/sn1pTTIyOUMw8hkUbkazIcV7Kqf4ctlgHu/2lTqxM2en+2Ivn1OCCFkM7xer33y0f6cbGWwQ/bQeHHMwuJigkq1xqe7/X7/o0eTcrlcrU5ISUkJjf/HXeusc674N4UMw/j9/gcPHmZlvbJ88dlZ599GfikqfCNJI/asgvF7E4m7knZpNLOzM4LX82q21EPP9DT3eHZeoWDg970W7Nptbn7edn8yKTlpdnYm59Ws0EpCOO5xqMrngwcPJ+4/eCP/dW1yMoCHjybdHq9SqZTD/8rel0OL2KemZTIEAsjMCFf/5Hn+1/uPdLp0juNefWUPy8bksKxsaWlpwvZIl5ER5/w7AsUchBBCNmlxYWFmZoZhZILPJ/j9gUAAkCEAGcMAkMlkAb8/EPADAchkCrkcMplrYTFRnZCgUi0uLSEgS1AnyGQynvfKAgG3x520a5fg9zMKpVKpXHQtqBKU7iUPAjIgoGKV864FOSNPULHipliVSq1Wu1wuBPwIBCCTJagTxU7RfD7f7OyMl/cE/H6ZXC6TK9LS0hiGmZ2d8Sy5EQjI5HJAnrZ7N8uyHo/H4XAE/D6lQrHodgMymUwuZ5hAICAIXm1S0pLHI5Mrdu1KnJubZ+SQy+UymTw1bbdMJpuZcfi8fMDvDwA870tQq+Vymd8f4D0emSygYBjIgIA8JS1NrVa73e7ZGYfYANbr8/G8T6FQrPjhL4aRsyo2OTklISHhRfoU6UZijhFTTX9he1UhRkw1PWnNZ46GWkxbTE0/F9efzIfF1HQjq/oJ+4nm+q4Ye5zicDx9mUbOHxJeMLJ3zRX7z5RmyI7oxkzsi1IclrokjSH2PRvs4/QJrJu8FUhdtwNAVLIjpy4bH9V/bHinojrRXTZVJB3hJ+99dDM7u9b1EJH46DQv61I1vFTEcYg5fauubZMiTpPuQOTvZXVrXXirH4fVrofI8UDk/kYfn2Ur3IyNHr01LrzoX/QKaxOXXZ7mVdIQfRx2Rie6O0YgEPD5fF6eDwQCMrlcLpcrFAqGYUKPyUAgIASJT3qGYQRBEHw+RqFgWVbMBYmcTS6Xsywrk8m8Xq/P52MYRqFQCILg9/vFmX0+XyAQUCgUSqVSJpP5fD6v1xvw+xmFQhnRQYnf7+d53i8IMrk8tCG/3+/1egWfTyaXK5XKUJMQQRDEmcWVhFLl9Xp5j0fOMCqVSkw5z/MAIle4fCuhZX1eL2QylmXFDYmHi/d4AoEAo1AoFIrVulORBT2rM/ecbKA+B8c5IwbSIqbYJ7mIgVU7m45vK31XjD04UVdfmi4+HprW7fdSd+h0+6GIv0dMNZ3ObPEGP919sXUgq7L+XD7EG3qNCdF3HPudzgHotODCoyymjmu68vYzhVJ6Wk17lj2/WyxavS420Nmw6e6LrQMoq24/lCneGZclbzn7nctmm7QILKamlsvdoeeZxdTUYsk+UaZFTBftI6aaTqd0VMXZgjtlqKqP7GWD67ti7NHuibzFT3e39UCvwxo9zj+znV3rehB3VnzEcn1XjK1XID5mok46uL4rxs4r2eKkqOMwdLWh4yKkx7DF1NTCHWhuPKoTD1dobZs0dLXB3Cs93ux3LncYL2PdsGONC2/147DW9YC1gomnEleFUr7KuVjdGhde5C869gc4YqrpnCgpO6C3DMSdhsKTjYUnpbmGrjaYL/ZlPOmrAgmSyWRKpTKmbEV8sgIQgw+FQrFua88VZ2NZNlSsEFlAE7O51dYvl8sTEmLbpsrlcpVKBZUKgN/v9/v94qOdYRi1Wr08VZFpEJMROZuYRaFUKuUqlUwmE/8MBAJ+v18cL0ZFkSuMOVyBQCAQCLyQ4cWKNtZhnT4rQxrS7Y2+e2qzg39n6Z7kxzz05x6nvqxCulvlV501oLenm1tnqUj2Oz0TMLwjPVx7BqyG8uA9N7O08oDeMhT5csX1dV3DgdoybeQqDFX1oWehzpCjx8TPI1GJvNo5UVJZcXCD+7acpWfAqjtQK93+Ck9WZsPy453ptRfKLD1TH7pjGoqzwY0Pi4uMmFpQ3t5YVbBsGY5zAuFIwlCcvcrKxeP/bkSAZb/TOYCyimNxvKSvbVM7u/r1MN19w4KSSulRpDtUcULnvNYzBACcwxpxQeoMOcHmdfY7PRPhtaHwZGW2tb8/uDbticrgozq/6qzB+ZPFvumd5fp+7EX2WekqyiytPKDnBv48ss5Sq194a/wuVr8etswa5yJeyy88ic6Qo4dzUtqjoaudONtYf3L5fPGmofBtA6y2qY2kjWyA3+9fXFiYnJx89ODB1OSjqSm7mCsQMwNrwhPvAAAgAElEQVTHTU9OPornn90+OTPjWFpa8ng8s7Mzk5OPHq5ucvLR7OyM1+sF4PP5FhcW5ufmXPPzCy6Xa35+bs7pdM7OzDjErdtstvs224P7tsnJyaWlJb/fv+ByTU3ZH6zn4cOHMzMOnud5nn/8mHv44P7DB/fv22w2m+3hg/sT9+79eu/eg/u2+zbbr/fGbRMTDx48mJtzCkJsOxufz+d0zt6/f//Bfdujhw9XnOeZ8vv9i4uLDsfj6ekph+Px4uKiGCo9U/Hlc4Szo6XORQFzTYO5pLL+7f5gZmZr0zVxSmfTChn7cZp+YIP2oCEYtYyYWiwAHBwQ7yNv5IdrnPZE5Spvz+l7szA+OQ2DeO+e7m7rcZZUHtXBFH8aLSZzr+5Acz6Ge9afeU32SQ764uLgrg1d7ZwAMMEBm3v7zK9qXyVDSHfonZIes/QGPN19sXNCX1a9/ARJT8qIV0Cur+sal332UOZGjtCKNrWza1wPnMOK7GPB/eX6uq5xAB5wKNTlv3tC13FNejkeuto6YDWUn1txK7o0Pbfy1aXL0lptU8AmA2jO5oThnXBRXeeAFQBn3+QKn/x38UytcS7iXMGyCy9EClVDYWLjKj/tONMghSZUtvKsLLndMzOP9760R6PZBcDpnHM4Z3URnaMuLizMzc2mpabI43ytl8Hr9dkfPQoAut0pGbtTo5ubxs7tci08fvw4OSlp1umUy/wyyDwej1wuFzMS5HK5XCZTqdjklCTNrl2hDIy/jYxpU7SLC66XMtPXqPEa3sqCa3pqSiaXpaUk78t6GQDP8wsLi6mpKSsu8I+7Vo/Hk6BKWPIs8bwXQCAQWFxYSE1Jztv/qrjFv1t+ecw9ZlUqcRGFglEoFH6/3+Ph/X6ptopcLlcoGJVKlZi4Syx+iusYrkI8F8maXVAoEQjMzjxOStI+62+BxBdz5Fe1N9rvXO6YKKs/mW+/c7njp+JgwXB+fft098VWx7HGKsN098XW8YNPkmHLOazQHgvXM8g+W5nd0ukMRwnrEDM5yksjX+g7f7wzXRgsUzD3AiXB55yYC3IuH1j9BZSzjEfey6QX4rqjOmz+JThoaoILZguJOcaV5SWdZttGnkyW/gnoDhSsf3AKTzYWvm1qMjYMANpQIUs06WXaED2mpPK0AYgted+wTe3s6teDjnNCl6MDpDoQOHC2bLylR3wMZ5aeqS/ou2JsaAJQUlkfDMUyC4q113p+sBwSA2IxFNBOTsOQXnxQN3CtZ6hUzGaY7m7rcUK3gadmNDHAyhBXdbF1AGXlJ/rN1zYSxERdeHH/LpZfD72dTavUKXFeC70nPFkVB26tcxGP5RdeZJWO7LON61eFWS8N4Sod+rLqJ6y5QmL4fD6e5wWfD8Djx4/3Ze/VaKbc5e+5YdSaT1nG/iGXy1ml9HSfnp5+M18pfN0c0wv86nK1l07J5bLpaW5P5oL781p+rZtRns7cbLOOT05Ovpr9spZ7LCAAVahkZFywAoDw7XcCRt0WuAaHxUawml0Jk48mC998XdXX4Pxy3ZTlpZib5+dc3OPHebJbzgPit8hY9v5VZ9EY29usxtfOEjPbe1Otv+3KamV6b762X/+XgUG5TKbP2Sd+RQ1AYmIiAKHtI8cFqHtvvmF4fXFxMbQNvz/wq82WmpKyL2tfKLbw+Xzz8/MLi+7JRw+SkrXJydpNf6LU7/fPzc+9pt8X+O//u3sUzCfNGXr/2N1fE3ftiiPq2rz4kzs1wYn51REPDxHnsOrSdIi6M64rugbZChUAUVbdXpWJkY28Xy/P5Mivai67YgzeW6OKgUdMLZbss6u9NgXnMUbdDcWChuqNBlVr7WzwFtncWKXD0NWNrJbru9JiQUllPJUTh642mHt1B5obj6LvirG16adltV+Xv2taTOZeQ/lqeSebsqmdXeN6kMKX+vZ8cH1XorbCZZ9tPG0YMdV0NgXrVUB36PRZW1NLQxMAQHuiLBvSgy2z9Ez5RIO5psEMALoDJwywbqRIb0XBGgb1Btjv9G9kydgLD8D6v4tl10NsPYZwnZL0o+caj0asNq66NeumeaVzsb4VMznCVTpGTDUNTfFWcV01DaFDYb9zuaOmP84qvWR9PM87HA4EfH7BD8Av8BrNLiCH/bDAfcHMW0/94Xdv/e3vllANBi+/xDCq6CKEUf76MFNUwRiCw8t6gU/X6absUwBgGRZQwBryVkiKpYsfzAOwOy1tcuoXbbKB/z9+67q+bDaxFxVDHvNhrvrTOrHT16xX9o6O3RWzPYTBFRKwfCvpGTrH7EzkFKHHLBSVsxgPj2lr5ZGn0QPAWweKAAhtRtc3Ukwj1QcUP4pa8hFfhCiGujcvHcYto/NUVAyk/LDupbLDr+Tj1wnb7OxMWtru1Wqhrs3v9/t4r1wu50e7+OtgP2iW6+UB+EMVdZ+ReGKOiLr0MQUodWk3pNrvE8YG6Vne0tAUz2tTTA0yiS5Nj4GWVpxtrI+420ZXaVydpT8qk0NaZWQN0+nuiz3Zb+cjWCejfq0CoBFTTedEZNMGsfJH88Zrn628s8jI1uFaZ0fEizgQd4UY8UUwznsx1/djb+g199DpZlwx9nTdMUSFPsP90Q+5eGKyDdjUzq5+Peg4LbgBY48YvoTn10EMPYOle/lV7ZWmmk7z1ZFC8UBFnYsR0zVdTkFEvn3wCQ2LaSCiJGijMvfoYO3puCHGB0Hh6lBrW3bhxfO7WO96KDxZOdTbOT48jdiIOf1obdm4sWfIgsLNlIcCOt3q52J9yy68GPlVZw1NLf1DJ/9/9t4+qI2r3/P8tlpq1EJYNhbGjgOJ5EBEAsR+5t7c3U28+GLj2GE2VSF3vGVq4yoKapVsilQ5LpeosZeZy+IZVB7H95rJOlSZZdfegS12g3ezReInYI8pJ7Nzc19MgAQ9EEsJxLExsrBAqKWWunv/6JZoCQHCL9hxzqf4o1Gf7nP6qNXn17/XouVuxbTHkLvr4PZvWlPNA+G+CATmTFmGHPNGwe0BgMxMZaOikm52cp9cYT6w2PQZ8fb0H7YDSKwCf87fPUIfdhr3yNtgPnCyiTnOZ2ZmVNm0KuV8pkkIGMMQANyemhIEEQv1UBSUGraL0o8C0Gg0Kr+T4sUDWOilbYwfAoB1WVl/vmGDoLjWe+D2cM0jzPF6rmyvcKAKANxXuOYRpqNeqCzwvxUrN7OtgF50rwtACimqUMkWL1fIUyrnDY0IQ3a+uZgduPicNe8H1xirZw2ZmXLokCiKGpqWY2TiUTOiKMoBMqIoRng+KkQpitLpGIqiRCR7bwTn5+fnAzqtTj6PEjoUiQCQg4w0Go0cp8PzYUEQtLSWychYlZUnHZkjd9eHDbsSDCi+d2LuGsea9nmvnXVMvt5eXRLfSLPvFORszcMgVK5kshiR1qMwDUutbEyxARgdHoAsOS1wsrFlQf+8+LmPqZHrfngH49IVAPR11Pbdd5xh7mYzgO1vLoRxDg8g/2haMsQqBA7I7gUqt1+zzWLt8yS0kFVENpWS4/oE5DlZoLe2sfd+w4Pv62KXuR/M2VZM5FXE31anRq77ZSlBpWYHABSVlGECKZi62jdh3bE7xdI4fekzl+m1ivv3hjbnmeAyvROfqOnr33hVDhnLkOLGW/l3kc79kORHnLBrMnHGVsvS38XKLLrxFqEyVD2UMaxGHUtYEY4Lbd2cA/e5QJkzhQNkrJxKHEYuieI+509sL9QU+OLnLCvgEtv/eMNjMsX8DIacgZqlhqOs3DRFAVcCefZFqSDUNWwTusjMjKf7HFEPYOlePFy9krlcqNkbOFDFA2i2o9Rh+gCB7h7hyz/yAGrsQJWxVxEg6D276dO9/FsfxyreebjKvYCDPVWH/ivYU04DQr8jcLrAeEpVoeZAm+lUudyeP7I30D3C1Z9jeussz+VN3JySJGl21k9BEiWRojSSiPUbNgiiMDc7q9FADswJBDiG0TGMNkPHiJI4N+uPRgWOWzDlyIiCMD/npygNpdFoaC1N03woJIfjUBoNrdUZM42zc7ORCJ+h02m1NBfmZu75DIZMk2l9UjDRUqRtW/H63Ekb8T2T/qSNB6DkzYqvF17BRztPukzv1qvFCMUumyI0X/Y1W/qZG1N0lwCyh4pq32hnbReOJsbjLVpcc3d92LBr4d9Ev5b7wlax3do62HZtxzE5fDTZtVPRMCWNZLUCB+QlsE/l19I36Eb+O2r7Tl+yiihJN+PqbDmJB7L6r3SxMRN+gtvB0vdDzr53bIMnuzpfVWIjY76usVfeL0b3HVJiZb8egOnd5MUnZuVZ/PXFTBgP8h6sOO12Diuxsl3JfqypLnapG2/ZeUjzfpi+1LbYWBPrNG0L3RIs/V2orytVLpkUN14S3ms9Kwkl6Y1BYfh8V9qvMYT0sdYZBxIzf7svB2qcdMdXSQoDdZE2Rt6rbum+HKjpZTo+ZmKfyy25UDg7O6bwP9CWrSzACQhtb/ubASAajZrN2cBfGCfHk/YulKVdxDNb4ndLMXO8XqlAu5gbbmyTa9ZbmMNt+LKV6x6hD7SxH5QbPyjwl/Uyh62wggaw32naj0BND93xHu0GYv3Sb0FQKrbs5iv3cnAYW3ej7W1/M5gOC/PlR3JtlyW6tzAfOOhupzA0LgAsy/J8yOeLvlhgoX+eEEDLpqLr332v02mLX3oRbo9AKx8CENxXhHEAFnrPC6Fg8Pvvkz0Z/+yf7YDbIwC01fLTzxO+u94/bC+V/WBoq+XGDc+NGz9usz63KUcQ+m8IAG0tp1/ExOQvU1NTm9LLl7oa95O4onKRxjKuNE5Xe7xMJ7LmXzHipJ1CYMnnpiodkK2yPS1LwdTVvgkA7r54kA5SPS4fBjn7jtXjRKvSUXoqhOEv+vxQ+wYi5h6YkOjJfzLmQXmoKGlWAXMsEQWA+GP9UTvz38/FLnc/2KobjnbGnTNUX5BiT2lJkSZLNUXWWE4LGZXT4lI+tqui5FATEHcQSctJc7kbb+l5SPN+SLyohARx+Ykmm/thye9iWZa68RL8nxLuVXXONLjlS47N7ZJjWJQg7qG6KP3eYVm9b+ZejnljfGFLxJJcCRaYmrqz2he1+eB8NBJVFqxuu2+xl4ZCIQCO43JyzPyRgsXOHKkVGKUOU29dYUGBKEqyhYCuKGesnpjdBILbgxtufqxX6B4RAKajTs6RTu8pp7+0AxBcbgCBMid9vA2n7YEbDhrAjStcc49Q6qBP7w3EbSuwMPaLpm3neOwWjshqEmegzImYukW4Uch0fCyX4fV67yataF98+cc3X0z8SJIkSaRpmv9kb6AbskushpLWZWUqyiS54G3/OX9NgmKJPv7Vq/Z/tmguZOVNMTtw8Xlr/tzsHAD+yN5AN5iO8W17LM88s5k5/6/9zT3xU9EHHFtP1fm83pkZX07OphWdS0jucwKBQCDcJzzP3/zlFw0lWi0WmqYBSXnZVRWXj7lKUOFwaPC7YVpL/1ebhv0pbTGLkFfiYDAoR3nIb+FLoxZxFoQGvn4vN1RlHHhvCd9I5ShJkqjLDb6aMXbgY9QnVnwtLaZthcz+N5TadUD3//XZgb/aEDff0McddLOTRzGNEeFAFePqEd5y0M1OQfbDQKWpt27ip584LvRSkQ3w8Ecu44PdNCB88lGgG0xHPU630q0XmT4Hh/eMdsu9e/f+87d/v0/T76vpiat2ZmZmNvxji6+mR5aTaGDkhz+JovSS7QXt1WPxzyd/+jkv71mc+yt/sxKYg36H/8s3jB9YaKslZtiqMk46GcXNJWbzUkrdFssKoe+Ghl8pLUlo0O+QezG21jFWD9/2USDWxQ+usZxNmxfnVUuC1JUlEAgEwn0iJyC3Pv8swzCy96giE8ScKwU34iu9wWp57rn8wFwA1jrTZN3CWdznAp+A+UCuMQvAAyRoTQyGKb7t0/TDa9lTdXRMkhDa3uaGAPRw9YuPL2RjLqXfDY28UhrPp2hhe79i3IDVgra3/c2Fxl4nowgxHr4f9B7LW/+8Ev3/ShY4mAMOYLdRviL3Fd4NwdXDj1mNHQ7udC99uJ6GhQYszz8P2V2jpkdAMbvfKpy2c0NVbMcbNNzc0Ahffw62Mb5btrzU7dtbgf5+AHC5+X4A0H/Z6u8eAcAcrqOBYJDTMRkZGcyvt27n73mPLe3hhnp5d93z1ucAD/f5CFDMVFgAYI/TtCd2cdY69oAz0N3D9zuZ+IeLmJmZoZDkGerhTvcAVcbeOgYALIy9nmm2859fFux167KMoRBHZA4CgUAgPCpEURRFgWEY9Dv8NcnumULNXrUinT7+Vb7dAkDov6JWV/CnnfxQMb3fysv5MxZWYgAWeo9lCf3EmNA9IpQuUw5eduMYAUAfb2MTXTSEL1u5mPHln65/NxeYByDcGAMA9xXukz8KrjEBcizrSKLnqawGuMWd7qEPVKG7B/t306f3+poT+x6K+c/W2FHqMO2po2PjoQ84jB/U0X1v+2VhqGaMLi2kDxQL3U7h8LhpvyNQ4/QfsS64rajdZkur2FYlrOaXX381rdtAa7VTt28BLzJvFXNDI4LsO+K+zA8BB+oX/FfcHt59mf9yXHApAT4rsUjkkM9ZCqH/SuxrdaMUGBoXAAPLzswGVjwpkTkIBAKBcP8ocZJ7nKaB9xY+TelDqvh8ePjTdi552Rvhauyqf3s4RYKpMk46aVhi4bUe/shl4YPdrNUCXAl02/HWe0Z7SleS2AJfWiwMjQjNrVxSAoyhkXicCzS0aX08hWghbYUAwFbIFL4BWyvXXSjbZRb5rBQz+wv4bsj+pPSN1kAzmI56JibQsB31uOHGNqus5wBAV9Qbt1mYPRYAsF/MtgPuc4H6Xhx2Gvd4hA9k3YzTNPCGYFX5yR5oM32guIPEjUe3bk/RWh1rMFAURWt18/PBzIpKunmE//IK9pQLfb0CwOwvV08FALq0irYVwgaheyTlpK3MUPyrSSAzM9M7M7vi0UTmIBAIBML9I4ri/Px8ZmZmKjfSZB/S8R9/fGHbNrZ3XFHBu8/5y5w4HnOxlF0NUkWmRKNRrVaL/k8D3T3M/rp4GIjQ/JH/c3VD2Vzi4Y98FOgeoY9/Zdr2qa9mhOn4OCliRej7KBDTTIiiqKVpAMLYCEoraWs5c6pcMRWNARjj+z7FGAAIrjHE/DOY1o9pXFb8OfaU40YrMMKf/iPT6mQ/cPPdvQCEZid/oC37VEzY6vsjPwb+S/VAxvihEfq0I5DwIQA3e6ouruBRz20gEJj45dcMPZudbZbzd61bl3V7amqbdTdT6uS6/8ifsgifjwBViunEfS7QPBJ3AQEgtL29oiOnHGSbYofqPGqCoqDRrJylg8gcBAKBQLgfRFGcm5sFpInJX7ZszqVpWgLWZWUlNZudm5PXonA47PfP3nC7Lc8/T9M0cCVQ7xQANH/k/7yQeQt8c49Q6jAlChyhUOib//SfX365aHNukDstv2GrHD5KCxOzbBUogayn6o37LcweC/oBgE+08sRQ9BwhjttgygI8gguwWYUjBUlpRfjPZa+UQtpWCIDZv5sGYLWoy20LYyMoLabREyiDcfI9ptTJ1dhRWmXcD67fw+6xABDGxoTk3O0jAIShFL4qApC0tN9we+aDIT1r2LgxhzUY4kEiLGuYueuLmVd6+LYCYQj08feU0FX3uADAZo2dzcN/vpSSw0LbgKERwY11ZVkbN2YDV/j4VFitNCAM9fLuusUhx5OTNzOzVq7VQmQOAoFAINwP4XA4xAVfLnpx+WZxKSQrK8tsVod/lht7x+H28J98FOjuUawtQ87AkXFm/3vyIh2JRG7ccL/ySol540b+SAE3BPpAMV+z13+gzfgBANBL2lbK1Q6SsbiMBeL5PADMB+fz855F/3FuCMzhcsYas2Uk+JCqDjx9mdmT9K5/he8Gffxjkx18P9D2KT8EoJg57GTg8NWAnnQysLCnLib7WCoBPheNS7tzxpm5N/vc8xa9Xp+kgdDpdHoD67171yw7dTY7gWK2wgJgLhDIshbQgNDdGthvYa0evr51kWFrAbqwGBjha97G8Xppm5s/3auS1crZ48V88whX9rZwvJ6tsAjuy/zpXhxWBh+vqrMMROYgEAgEwv0QifBaWhMLsEzRQJ1dNEaVcdJJ95/jvhwHILjG5NzeKK1iD7/H7gHfdpn/3Ml193AAXVrFHH7v5T0vAR7+SF08/4RQ6Ag0xzw0k20rkM0rN3/6GcCWzZv1AAA+xUgQ13Nkr1+v0/0iB2UwewCUx+UJAQB6uCOIL71C9whKKwF8NzT8ilH5kD9i51HMVoA/8hHXPSIA9AEH43LyNW/7S0dQ6pBPeO/ePY2GlkvjipK03mRSj4bneS4UkqUJSUJmpiFphTYYDIsFDgAURRkzjXfv+swby5kD4LuB0krGCv/srMs19hev1hmP9/qbR2RlD32gzfRWq+zekUQ4HM6wf2wc+yjQPcI323mAPv6V0bY3numEtl80wRFo7uGb7bwssZVWyToPQZToNArOEZmDQCAQCPcDBQoSFA/KdA+y0ABujMuOEbStkjn8MaOKTGHsdYy9DvAI/Z8GTo/F3E4tzP5CGvWy2wdtd5rsTqH/Cn/jj0KKANg3GGBuLiBKVCj0UxFAlxbTh5MVCUKbIxATVlhWD1jYw1XCjfcYIBKJDH8/Go1EX/3zP9D2j434lP98TJ0Fi/2gjhLFubkAFJnDI7hAH/+YtVp4AAccRiXud7ec7oLpqKOB8RvuYDBsyMyUJAnA3bvel158wRSrpQLg23+4bo6l1YpGoyFu/g97nNmTSjJWURS1SysS9Cw7MwNBENRVZu7cmdbqMmbu3dtgv5hth+D2wCpPdXl2zGFX3f4f/mnw1T/7A3PqYvYpJfcoAEBpMDV1JyoIW+1Ok92pJEpRzoZQKKRjMtJJf05yghEIBALhfgiFQr673sIXUoeNrIpwOHx76s69e369Xr8px7xhQzyKBIIghEKhzMxMeXv4+x9yN+Vszs1dpq7Y7Nzc7Tu+dVlZ84HZbdbnl+86Go3+f3/398UvFcmdiqI4OPx9bu7maDQa5oKFBamzoP9pbHw2MP/nf9ie5gWGQiHPzzc3b9kSX5jv3vUa2YyNG7Plf0VR/NEzuWXLFvm6RFH03fVmMFrzxmyKogRB+OXXWwZDVta6JX0m5mZn5+b8W5/ZnMEwkiT5fDOz8yHTunUzMzMZDP3MM1sYlUwQjUajUYFhdJFIhKZpQRRv3ZoKhnhRiG7Kyd6Yna2uLhuNRkPh8E8Tv0giGB299ZnNRqMibQWDwVu370Si4kazecXkHCAyB4FAIBDuD1EU5wOB2Vk/IIlicpHSxVAARVH+ucCW3JysLGOIC4V5PhQKRwVRQ2szMw2MjhFEIRjkQlxQn6GTVz7PzxNRQbA+lw8Kt27fYQ2ZkiSFuJBGA62W1lAKcYdKSZL4iJC90azT6bzeaT2jNRhYiqICgfmpO169nhUEQZKEvGef0VCUIIp3ffeYDD0X5NabjFlZxlu37xgyjevWmWQP2Tn/rF6voyiKpmmKoqLRqCRJXIjPWrdOFEUhypuzN+j1ejn76q3bUxqKMhqNN3+9FZjnKAqbcjZmb1g/Ozvnm5ndmJOjZFMFAIRCobve6ez167Q6rShKvpl7WVkmo8oDNxKJBAJzHBcSBEGn02YaMg2ZmcsUmhdFkQsGA/OBSCRKUZTBwBqNWTqdLhKJBIPzc3MBSRQlSZQLtiVJbFqtNjPTwLIGQRDm5wPBIEdBEgSRoihQFEVRGRmMfLZwKBSYD0TCPAAJko7JMBhYgyEzzRpvROYgEAgEwn0iSVI0Go1EIlI6MgdFURoNgHA4xPM8RVFarVan1ekYRqfTqYWGSCQSDoVC4RBFUQbWAIoKhThJkgyGTNmhQe40GomIkijFkLvQ0toMvV6n08ml2IPB+VAoBCAjI0NeGkVRDIfDweC8HH9rYA0Zer0gCMHgfCQSYfUsazDIS7skSTzPh8MhWdSQz6/T6uQC7qIoBufng1wwEomKoqjRaLRaWhaAWD2rZ1lRFIPB+XA4zDBMZqYxqea7JEnyMHiel4ehZ9kV65XcN/IUycN78MaiKEqSpFkku6wIkTkIBAKBQCCsBavxIR3trL1e0l5dgtHO2r5sdQ1uV2fLtzsaDhXB1dnyWd4DlXcnEAgEwm8Rnuc5LsjzPE3Tej2r1Wr5cDgUDgHIYDJYg0GbKq5BEAQuGJwLBCgKxkyjITNz+Xf9aDTK87wQjcr/ipIoCAIA+Z2boigNpZEVJ9FodH4+MD8flA0NGUwGUr2Uy+oWeSTpWIjkvrRarSRJKQ6RJPmki7vQarWr1Qo8faxC5vB6/aqNbNWeqdte1UbeQxscgUAgEJ5kIpFIiOP4CM/zkeB8wJy9IVPPSJJ0Z+pWkAtt3GDKMhoBzAcDd+7cMWYZGYbJyNDr9XpZsJAkaW5ulpsPPJf/LMMw34/+iY/wJtN6tddC3NQSFaKRSIQLcgyjjZtyRFHMyjICCM7PURQFUBoNFfWLBqOR40JGlrEVWACMjf84e2+GSiXNaDQaPhKRJCmDYdKXOcLhCEWBYXSLD9FQlChLHqr2GopeZzJlGo2/c7FjdbGy1rxNypZ5qzlhjyk/9n+emSg5CAQC4eknGo36fHd1NMXotDSlLbC+FN+Vm7tpcfubN3+lKGnG583QswbWIElSmA/f9Xp3vKIEi75c9KJrbDwajWYaMuVPKI0mGo3M+WczMnSAJAnCy0UFKw5MFMV/vD603rRuy5Z8+ZPCghce9GofDEmSRsd+pLXadII7nmLS8+cY7aztmlj8cdnBhlevt5xMzuQKIP9oU/XSpf4IBAKB8JsnMDcXDs0/l69Wbnu4yr38W7H6KQD6Hb6aMXbgYjxbtiRJg98NsywrAXw4XFryMkX9x0CeXYhVXbn+3ZBeryzMGg3lvzf78i4+ixkAACAASURBVEsvyrGy8XP6T6vyctgqjfvHA/FPbJXGU3XD3w3n5W1d/3/W+psL2eNIkcYjBq3kPPXwbZ/ySzdLoPAN1l5Ou88FPhlP3FHAntotLDqP3MXdu75gOLJhQzZ+x6Sn5yiqbm+aunqmY6Ki4VDR1NUzHd/siDltFDW0T1860ep7p6naNn3pRKvntfr3d+U80jETCAQC4fHDR3itlk6Rh3Ror6+5mO2o5GucciotrqyAU/ZVGSedO7Yn1HgV2lr5WK5uADteSaoAC0AtZxQyhwtoW6yQPXp4VyX2QxgaQWkxhkaASgCBQGBjtp/7fASllRhz8t0LqbdUjAhDoAvfY/cAgDDWw3cDKKZT9Z9IAVAO9zjf3YPSYsUONDQioIo5tVv4vIcfine30MV8cF6ifu95ONO//jsTXtmAcmfCm2hA8frc5myzvAHTO0TgIBAIhN8BNE2LUSExD6mbP+0UbA52v5W2WugOK+QK78frGSW3loUGhFjucxmhewQoFj5xBBb3UbhQTkUYAn0AQvcYrE7jKatcyJ7FGK+kE60y9jpxpCAAKw2wej3gEYZAH99NjzlR6jDK1VD7Hf7TYFqdrBXAlUCePZZg1MKeahO67cLxj012C+Dh+z0pLtlanlgpt5h5S7k0uX69QqmDPSy3c3M1SiLRcJhnMzPSn96nknRkjqmrZzouyF6irS0X5M+6WgaQf7Q++7PWQTcATDgaB+U9JxtbYKtsry55FMMlEAgEwhMCw2TcvDOV9+xWeo9FaPPQFeW0tZyx7hassmDhCNSMsR0fmwaQVOZeiOU+BxCrt4L4J4moSsiikP2ggOvuXXpEcqE1y9zc3Natz6D//1DUJ4knTlnENRn3ZS6mpEm45I5xoxV/9+0/GI2ZLwPACP95q9JsaCRewAVDTu50TM8RKw+bZm6Mp5t0ZI7cXR827EowoPjeiblrHGva57121jH5ent1SXzj0Q6ZQCAQCE8AOp2OYTIAoP8y1+wUmouZjo+Neyy0UrV1BABXszdmVVEqtP3dt//wF3anSa734T7nLxsRDrRly/Xr3Vd4N+g95StUb+lz+D/vEQA0fxSAUnENANxuAaC3WXQZfFaWl6vtAariagn+SEFcDyHbeujjjuU7SqhG6z7nL3NCqcQWjiX/XoWeg4BV2Fa8PnfSRnzPpD9pg0AgEAhPPZIkhUJhANhTZ5rczR/5KPClR7B6+Ho7NwSUVhlb36MBwMPV2/mhYnqbZX4+ODsX+G5o+JXSEsDD1TsFVBllgQMQ+loDzWAHyuMOp/PB4Ld//w9/WfZfJ3S8rYC2FWNoBKWFNEYWtBHucQFV7B4wYND/aVKpW+bUV8wHgPtTf80Y2/ExYwWsHq4Zy8DXvO1f8O1QNBYMw2RkMJGIHH6h0nMAiiOIrZh29XKnE44iyKzGn0V22lBvxIjH0C4E0xIIBALhqSbC8+uyMgGg/1zghpU9dTEbENre5lDFdhTwNc5APdi3wDf3CKVV7ICTtWL8x1usPqOw4AXAwx/Zyw2B6XAuWSwVyDQYNqw3JX9qrVP8OQ472Rtxfw4IN8Zi1g0Pd7pn0cksNDxC4r9L92xlDlQl2lYKaRtkrcl/+Rd/PjYu+6MUs60XWatH6I+dud9D769n9wOQFTZqlxFC+jJHUXV7UeJGDFt1w7HEDQKBQCA89UiSlJHBAOBv9PLNI/znVcZWJ2O/mG0H4KGP9waae7ghAMWs4rOJghe2FbywTRXqUkxbPdyRT5VV2TUCgP/Eofxb+AZrL9/+yitpjoe21zPNdq7tPcZuYd4q5gEhQdVxJVBml7UTXM1eDlXGyTdSnifRxbWA+WA3+pTwV+ETR6DwDdZeXlhQgJ/jR3i4GvuitBPFaoUNQeZRlZMhEAgEwtMNk5HBhfiZe/cY+8XsAQeDMd59hTvi8FcW+PL2BppBH2gzdjiY0hGurMCX97b/iINr8wgxDUcsmtQjuMaUvyEAWPh3zA0gEFgUztLn8OXZeYCvKZC9RmKUMwcgfH5ZAGj7ReNbqcbcMZ49OW46vjhuVsWNXr57DABcY3x3rwAIn/fwciYqVw//uRvAvXv3kg6ij3+VPTmu/HVUpTmHvzd+77HCBAKBQLg/dDpd9kbzDY/H+ryUba0z9tYBVwKnx2BzGFt3M0qsSjmzpw7w8G2X+c97OXhYlNOn2oz7LQw+9dWMAeXG3pg/R9vb/mawrRfV6oGRH0b/i1f/PKHjbe8ZjyPQPMYcr6fHWjlVXkpmfxW6xx+CC0VpJXuqju53+GqUIBf6rfeMdovQpphy5CIvaoTmj/wxKw+GRoBlxZrfK0TmIBAIBMJ9QtO0TqvT0loA/JG3ucKPTb0fc5V7A2UpgjXo419l2y1j4z+y+sK8Pc+if2FXKBTS6/XqxmPj4+EwHw6H/f7Z+GfcJ2MCAKuFvjEGFDL2chyxy0nAkkgseLKA4haqjmtdAsGd5O3hEdxYzjOjtJBWpd9ONOsQFIjMQSAQCIT7QRTFe/dmNqzPWrcuC+5zXPcI3WGB7JhZ6jAeVvsyLISM3psNBDleFCeeU+1OEjgAFBYsrqsyAheAYsDDfz6CA/UMoPai4Nsc/Oc9QBWAqampRfkpLfSBKsVf1VZIo2A5XciQMyY2KeoKodnul4NcSisBbNy4MekIWRGi/KNSkBDUEJmDQCAQCPdDOBwOhzhb4QtK1GupYyGbhc2alAeMBgTgrs+3fv0GvT5DjMakBfdCLImw6BPAosr7WcW2viF84qb7Pg0MFbOt5Qt9YRwAjTEexUyH8/bEJBcKJcoc43y/ld7/hlrOEPrdKfUWtP1jU4XqX6sFrV+pgmssKYUVoXmvLyHyNtm2QnKCgcgcBAKBQLg/opFIljETAH9kLzdUzA7ULSzG3XZ/d3J7GqBA0bRGLjoPABhRJw2TSfykyjjpZADscZoGQFuBUwjkOXGgjcW5wJFxoRs4EDu//aLJjslfbv56azo3J1EPMdTD1SyOnlVGBWBuLpCVBQBC817/5yu6YhSyveoQ33LjwFcpxBf3ucAnvXysi6ggarW6lc78lENkDgKBQCDcD1qd7u7sPQB0YTFz/GPmOWF6eiYnB7AV07Z64wdqPYeHq28FEJUkmqZpmhajFAC6tJhp/XiZ/ByyUuHePb9vZsaQadiMTXADpVXGU+VwuwXXGEqrjB+Uw/1HOR+X609jtE6/efNmjSQChbFqbcX0gUrjqbpF+okrgcpWecvt8Vgtr2YNfMUnu3EsOSoAdGnMKcRq+WViUqNRQkFFUXwuPw9WK06DLq1i7ZZoNCpJYJhlr/V3QHq17AkEAoFASEQUxZkZnxjlLc8/B+D7H1zhMP9K6cs0rSzu4z/eEEXxxULFM0OSpB/dP5lMGzQ07fNOWy35Wq3y3vvLzV8FIRpTfixAgRIlcT4YZg1sNCoEg4HCbRaDwZByPFwoNDl5Kyc3VxTFu9PTzz+3NWmN50Kh8R/dOp0OkiRK4stFis8nx3E/un/WUBqWZQwGA63RSFjCBzU2qkBgftOmnMxMA4BQKPzDn8bXrVun0ylqDEEQZnwzz+U9YzZvBBAMBidu3lpv2mCUdSm/Y4jMQSAQCIT7JBqN+v33gvPzAAyZmVqtdm52LhLlIYGmtZnGTADz80EhGpEgMVpm3XqT0ZhFUVRwfn5mZkZuqdHQelav1WoXuztQFKXT6jL0ep1OJ0kSx3EzMzOiEA2Hea1WSwESIIoiKGgoisnQb9iwgWVZueW9e/f4cFgURUmSNBoNBTB6fWamQYmyifCBwLwQjQDQs6zJtF6r1YZDoVA4JB+yzFXL+oxQKCxEIqDAZOjXr1/Psqx6/DzP37s3E+I4SZJ0TMZ6k0nPsnFFyO8WInMQCAQCgUBYC37vMheBQCAQCIS14enyIZ2+dKJ1UCl7a97u/HCfecVd8udJjVfC1dly0oWygw2HilZu/PshEokEAnPhcFiv17OsAYAQjS5WUVIajU6n02q1oigG5+fnAgEAmZmGjAy9KAhRIeEQWkPrGIZhGIqi5PMHgxxNa9ZlrdMxTIjjAvPzGg2VlbUuSbEpimIkEgmFuHA4DCAjIyMjQ6/RaMKhkNxjltFoyMyMG54JBAKB8KhZjcwx2ll7vaS9ugSjnbV92epF2tXZ8u2OhkNFcHW2fJZXc2xnbjrn81476+jzy9vWinSPWprh862DqKhpT3GeZXY9dobPN/bity++RCKRO1NTWUbWkr/111u3x8fH1q3L0mo0oigmtdTQdDQqZOj14VAYkvBS0YsA/jQ2fnNuPnu9iaKouMxBUaAoTcQvrF+/IUOvn/Hd1TO6F194PhqN/uAaE0VkGvTP5T/LMMx3Iz9szt1iyMykKEoQhEBgLjA3Fw6HMw367OwNkOCfnZ2+c0cCGC398ks2AOM33JFoZP36DcTCSiAQCGvDKmQOr9ev2shW7Zm67VVt5KVzsqmrZzouePOPNr0v+w17r3Vena7etShv3CoYHR5A/tGUUsUyu3L2HWvat9qubNUN7asf4NPN7Kw/y8g+s2UzgLxnt+Y9u3X59t8NjRTZXmQYxc077tmekuHvXetMpkiEtz6fB0Cr1ZYWvzT5yy95zz4rN3il+KXrQ99vzt2caTTOzwfC3HzhCxa12mPDhvVJ5yzYZv1u+HtJkrKy1j0JAWySJIXD4WBwPhKJaDQamqZTpg+iKEpLa3UME41E5oPzkiRlGbM0NB0IzHFcCIBGo6FpjcFgMBgy40EBoiiGQqFQiJMkidWzepYFwPN8hOcFUUkroNFotFpdRkYG0f0QCIRHxOre8Kx5m5Qt89ZES4QpP/Z/njkNXcLo5Qte07v11fHk9OadDyZwEB4rkiSFudAzWzaj3+HLK/C3eQDI24v/5L2vlBYzjA64EsgrCChlFzxcZVLjtzk3ADyzOWdycjJnYzZ/pMBXeU5eJPOefZY/UuA7ckU+eEfpyz6fdz4QuDdzz2p5Xl6w1Q1k+COx4QG2wheifOiu1yvbXx4voVDId9ebodVsMBnZDF2UD0XCqf+C83MTEz/fmbqVk23a9nzexM8/uW/8mJXJFhVaiwqtmzauf3bLJj4U9PnuRiIR2cZ09673rveOjoYpy+D13rl169atW7em79wOcYEwNy//hYLzs/6ZmRlfNBp93JNBIBCeTtKLWxntrO2aWPxx2cGGV6+3nHQt3pN/tKnatvjjGK7OlpOobK8uWXJv/Jy2hGbqXTF3ClllkmJsh4qW2QXZqDGQqhcgce/CIWp7kOnd+vcT5ST1IQsz4L121nHd4qzwOZQ5jB2odjGJo/IsUdueFk2pfGmLx/B4iEajHrd7xysvC24PbfUE8uz8gbbs/X/01UDJIRiDP1LAFX5lslvk7cBCpsKqpJZwn/OX9TIDSoXJ/zhw7S/LIoE8u3BcPvxKIM/Oo8rYgUDNGDtwkbWCj0T+aXA4K9Pw8q8dvuScg8XswEXWeiWQZ0fH+EKGZsDrvTsf4jduTN+f55EwPX1nXSa7cWP2yk2B2dk5vV4f1xKlZHjkBwmUVqsNBrlNOdn5ec/Gd43/eCPLaNy8OcXrwQ33T2ymcd0602rHTyAQCCuSnm2lqLq9aerqmY6JCmUh/2ZHzP2iqKF9+tKJVt87TdW26UsnWj2vrbwKTt32wrpjU8p9rs6Wk97tziZ53R0+39hb2wlZIEjYNX3pRGvL+YMNh4pyd33YsAuyYITEhXmZXQBKDjWVHFIEoERkaSCFIALzzvfbd8oNknLVDZ9v7J2MuYx4r511NHYu9OgddPRtdzZVm+Xuui4Vf7jPrJh1lvDnGO109JnitqcnHJ7nDWwG5MIEsBgnxwGg/48rH3mgLftUOfodvhq5KlJycmKuzEFPOhngL8t2ot/Bo8potyjCiiLW9OCAQxZWGJ0uN2ejKNeYLnWYeuuEIwUBtGWfQiCvFQDcbgEQagp8QFzKMZs3esfTyTz4qJAkKTg/f+fOHcuf7ZCnwjjppNve9jePpGpeZZx0yiW11DKZ0Pa2//NKUysCsQ9Lil8CIIqi7LDCHykIuBym3joaKHhhG5JlPlkmwzbr8+PuCSJzEAiER0H6tpU7E17ZgHJnwptoQPH63OZss7wB0+YHee2evvSZC2UVce/UkkMH8+Eadim7TO8ejO3K2feODQPXhx+gsyVx9Q26zdudS6hhUuK99vWAebs95jJi3vl6GSa+HY3vzz8a016Y89J/mqvPkETurg8b2pueCCUHgGg0wrJ62VCimEXiFg33OX/sw0D/oiO77b68AkXU2OPMnhxf+Btw0ChmB+LKDw93ugcH3qDb3g50Vxknx02Frb6aHvr4V9mn6oRPFJuL5fnnNm78PlDTgyGnP68g0C13YecxwpU5ePe4cKAte7KNUZ05EolotY/TgyEcDt+7N/NnO0rVH9L2i9mT49mTX7GlYDrGjQdAH/8qe3I8O64NstaZOgq5MnlWr3DNI/Rbu2nrbqZ0hO9bEKHiHrLM/ioM9fJJirUDbdmT49mTbXEN0927vkdzlQQCgZCWnkNloWhtuSB/1tUygPyj9dmfKdaBCUfjoLznZGNLKlNFMu7JO0BKz48F15AY/tvTsAGA/0J8ADKPTgmQ7LCSBt7B+CTIlD3IAIqq2w921na1yMaaJzwul9bQXCQClBsnx+E+5y9zolBdaqHKOPmeULk3RQ0kWc+h4OEq93JD6t2qSkv9n3JDgA20/WJ2xTl/XoGAYnZgnLVCaHs70L1QX2rke/PrHVW+0wVJeg56wIlPCujC9+C+LMSqLgH4wTW+ZcszD2sq7gOeD7N6hqYHAnl22dIZyOthOtpQo/yLmgIeAPb6mhNnbI8zuwO+0+f4G708gHhZy6HYhtL4SvzMXFkBd6DNCHsAbcZUg4lEIjRNAnkIBMIjIR2ZI3fXhw27EgwovndiVoNjTfu81846Jl9vry6Jb6x4wuIdJvQNu1CSnsxg2pwDTCOVC8WTxCqTfKxMUXV7EwDZNtTyJMfT6hjm3uycvM1/4hRKHSa7BYu1GovptvsU9X4xO3CR7R1nU7fzcKfjZpcrgTKnAAAjXFkBFz82VvD69tQdrAOGnP48JwBA6YJxXxG6i5mBhPras3NzOiZDjuN43JQbJ8f5IwWBbtnocyWAYnbgY9TvFQ6PM18WcIVfGfGRf0xu7OEq93K2tuxTzmzrOX/ZiGxLouHhKvfybykeM+ozq3vij8S21PMPAJAkaXF4M4FAIDwU0n6h8frcSRvxPZP+pI0VkU0PJxs7466i3mudV6eBnB2vmf0Xui7F/D6Hz3dNWCt227B41yPEtiMfrt4T16bSP8Rss1i9g22rOSTGpnzzSkaiopJFKpOpq2daahvPXp1efYePAEmSWL0eAPodge5itnVx/cYlkHX7Aw4aQF+qOBclSsUjwMEqFavLjZPj2ZPjpuPFAFDqME1+jPqEaJRZLgJUGSfHjQfkLtoYADfcwoF61gq4xwUU0lYACIfCen3G403RwTAZgfkgAMAjuAD0cMq1jHBle7kh8DUFgW4IzXvVHh5M67gRdl/lOe4TJ0qLZVuSL28vNwShea866icUCvFHkuOGADCnVJasSUVo27JlczSaQiFFIDxqpFu3hYZ/+bhHQXi0rCYnmOy0od6IEY+hXQimXYGSQ02b8s90nGxsUQ6sqDmWAyB314c1ONMRN1KocoUl78IDWhwSgnF6axt7F2JDiqrb6y+daO2o7UvqKCEQxt3aciE+wpx9x+qhPmTF4J0YubsObv+mVR7AgrIkMWgF1oqaY0+qkgOAKIparTaujeDKCrhSh+lwfH9PIK8HQIokGKr3bACKX2fMj5Lpd/hOy3vLjb3l/BGncpT7nL/MKQC0EsMC9nAVV/MRV3GRtaK4+GXc1vlinS7oObbVmSrO+Svd7FtjKK2UpSIuFIqXgnxc6HS6aFScmbm3YeYyPwQAQvNHXMXFJOWEmvn5TfrnBObUeDYA1DFtb/uxpJ5Dr9fj1Hj2qYXD+SPqmVdgYuE8ihMugbBmRAXhf/8Pwt/8LfXccyQ5zNMNqfFGeAjwPD99Z+rFAsW8oYRIHB73LxsrKyO0ve0fq5d9FBIjKQDVQjg2Nv5825sBxGJVUpLgHSIHwoyxAxeZvlgX/Q5fzRhdOiLYlJbf/+Ay5+RmGlP6NqwRoVDo9q2bxS/ZBCVWpYo9DlS8h/ok7xYAC9cYDvMZGQx/pCCANlNha6oglwWTk3pi44IaFgQUcJV7hcPKVH83PGqxWkl6VsLaIH7/vXj8X4nf/wBAs2e39n9ufdwjIjxCnq56K4THhE6n07Ps9cGhHdtLgSt8N5iOOhqO5Y+SpQ1TofLOzXSMM4hHwMI4+QafZ5dbDo98v+BksMeZPRlTeMQ1IpCVH3/kT5UzKpdJyEoXALD7uquMk07jgYJAN5jDimgSCocj0YgkSSmTfq4N4XBovWkd4OE/H2EOVPHdoO1OBsCS3i0AkJFxk6vcyw1VGSfL0da6rD8HmEQ9x/JoaSo4P2/MyrrvKyIQ0kKShAv/Qfg3LYj9uilVFhnCUwmROQgPDTmDOH/EzqOYtQJuYMHAsQB9fNGRsXd3/svUZ6ZpmqISXrtjqhT5Pw9X+Snd6zRNyv+WGye/4ir3coil6IjlpQCQpNYrebnoTz+6GSbDYDCs7mofHhRFiZKk+KzsH+e7AVkgWzo/ByP7kMJhmqyjAQFqn1lV3EosB4n6bPRxB93sXJiHeOMaBz/pZICXX7K5f/6FyByERw5F0Yf+O/j9QusnyidbV6iZQPitQ2QOwkOA5/n5QKDIVoh+R6AbdCm4sgL++FcLConl6bb7ukEf/0r1Wi8LK8WyaUCSJI0mroeQQ2qL2YE62u0AgP7LPHqEvB5GlWCUaR1n3Q5fXgEAHLDKAofQ9nagG3RpMV9TEOgYN+4BwzAF1ud/uTX9GGUOvZ695fOJ4i5jbzn6FeUQbb+YrWh5UuROBSzqGB/afjHbfiWQ10qr4neSOdCWfcrCVe7lsds4WQcs2J6SDvl5YlKne/wFaAi/ByTvtNDxvwKAMRMaLbVSnSbCbx0icxAeAtFIJMto0Gh+5k73xNwFPFxl/G07CSUWlGseAez+hU8AjGdDTmCakAo9FApnZckuF26u0s4NyQk/CnxDQKmD3lNn2lMntL3tV97UY3k+DrQpQk+/w5fXyh4v5Johp/SA+5y/7G1u4CJrhV6vf7wVRnQ63Ybs7FHXmFzwVoUsbbTJ//BKrpHy+K4UrliKISlO8WKRIoacY62NdTt8ZQluN1N3pp+3bHuACyIQ0kU49TcIzAOgjx+j1puIzPHUQ3xICQ+BUCg04/MWbLOs3DQVgiDc9fkMBoMxMzNplyiK4zfclEYHSSh8YalXeAQC87/c/NX2YgGAdJwzZmdnjUaj7CY5+ctNiaKzszfe3+AfCqIoTvz8s+X5ZzP/01/HPFSuBPLsfKnD1Gvl8uzo+IrF5UCNE8eTfTViLKfnSLStKE6jsu0Jbg/6PvI3j8S1RG7PT4bMdcS2QnjUSEPDkb/6bwFo9u7Rtv4tKAqShMfnWUVYA4ieg/AQYBjGkGn84U/jmzeZdVrd+A0PRWky9IyGorQ0rdFQFEVpNBqKoiRJooAwzwcCwezsDeFwmI9GNRSt1elm/PPRyK+RCJ+9wbRh/XpKQ01N3eFCvNmcw2RkzM76f/p5wmAwRCIRjgvNzs2ZsrI2bswOh8NBjpsPhmmtdvyGRxTF2bnABlPWli2b52bn5gLzQS4kSdDpaKPBkJVl1Gg003fvzs7OM4z22We2RKPRYIjftCmNYsiPEo1Gw2RkUFh42vJHZIGjjoacRd5C76kzdYz7aj7l7U4G+MH1pwyGkSSIophlzNyyZeFsMzP37ni9tIamKESjUVav3wq1beVyIM/Jx2N8rBbIqV3LFH8OvV4vSiQtGOERI4rRpmYAlDlH+z/9tSJqEIHjaYfoOQgPB1EUQ6FQMDgPwGDIZBhGEIRoJCKIgiiKkiRJkiS3pChKp9VpNBpBEDQajY5htFqtrHKQC69zXDAUClEUxbKswZCp1WoBRKNRLhgM82GKohgdQ9N0JBrheR6APkOvZ1mNRiObSCiKCodCXIijKIrVsxl6vUaj4Xk+FOJ4nqcoysAaMvR6uSONRpOZaZS9Xx8vd+96M9kMcxp1ZQVBcI39mKFnWZaV/73r9W4vfTmu3bn+3ciG7Gw570goFOLDoaIXC1Kean4+6PrTuCRJRbaCzMxMAKIo/mnsRk7uZr2c5I1AeDQIPf+3nAFM296m2bnzcQ+HsEYQmYNAeCLgOG7GdzfLaGB02sB80Ddzb926db6Ze+tNWRvWmwRBnJq6IwHrTaYgFzKtX280ZsVTaMzO+oPzgfWmLAqUf3aO0bMm03pZBBEE4e5dr46msozGSDQSCATD4VBu7iYA0967gkhlb9gA4K7Xu2F91rp1WZM3b2WtM61bZ3qMwcOEp59AIFLxpnTXq6k+qP3X/+PjHg1h7SAyB4HwRCBJUjgc5rhgNBrV6XQ6rU5D0wCikYis3dFn6CmNBpKk1el0Op1aJhAEIcRxXIgDoM/QswYDTS+kc4yrjgBotVqKoiKRiKwE0rOsrEbieX5+PiAIAqtnWYOBJAQjPFIE578T2v8Xyvq89uJn1BNR7YiwRhCZg0AgEJ5gRjtru5BeIYUFvNfOOq5bHnLVyYeE5P4p8s//GwDa7i5NcfGK7QlPE+RthkAgENaS4fOPqzrjaGftmbUok7kckiSc+LeICvQH/wMROH6HEJmD8BvAe+1sbWPLqir9/lbwXjv7+JeBpwL5JqltfILqLadi6uqZ3gHb67tyHkfnRbvfxaCjc9kq1o8Y6eqAeO0atf0V2v7fP8ZhEB4Xq4mVHe2svV7SXl2C0c7avmy11s7V2fLtjoZDRXB1tnyWF68ES/gdMny+hUirUAAAIABJREFUsXdA/UGsUm46B+JBCgWny0PuyNXZctIV/09dTHjq6pmOb3Y88p9D4gAAmN6tf//xLGmpWaN5MO98v30nMH3pRKvnUfaTfIevqrq1q7PjArY7q0sefBz3ZT3J3fVh5URj74lrmx7PU5rnIyf+LQys9qQTWlJB9vfIKmQOr9ev2lBH9E3d9qo28h7a4Ai/UawVD3mBUZaTJ46pq2c6LmC7s+lxW83TFewID4eFO3y0s7arZTLNG3760mculB1M+qamrp7pmKhYA2lbpuTNiq8dfZddO1fnIPJQEDv+N0xMapv/mnouf807JzwRrM62Ys3bpGyZtyb+bEz5sf/zzETJQfh9MH39Gy/KKshi/zumqPqoDe7r19Oxjrn6Bt3m7W8myxa5uyryB7rWznRo3vl6GSY+W3NLpXRnOnr2U6p8l+Zf/NUad014ckhPzzHaWds1AQDoqO2TP+qtbewtO9jw6vWYXre15YK8p6tlIEHDTCDEmL50onXQHftPUUqrP+xqUbTW8Rf3hXsvQYntvXbWMfn6UfSedAG2yvhGu6K1VivAY7aG5TuSz9mnKPPSUtXkbM3D4EDfpTeLksQOVe998Z+M6keROA94VDKLYkV60xu7rvj8TF860ep5rf79zX3K71d9vQnGmoUpjSvzt36hXN2KRpyV5iElo521XRPJ33WfKX6UenhpfU2jnbVd/oWhJoWBqL+L+1YXxd7BXJ0tJ1HZXnEzds4EW9ttL6w7dqQ4f1F1e/2lE60dtZMLs70MqhkYdDQOylurMfGUvGrrHZi8A6zp+6Fw8t9Bz2pPNJFko79n0pM5iqrbm+IKwETrbFFD+/SlE62+d5qqbbEH2ZNkSyY8BtwLC0yiHNA6mHew4VjSkzFn37GmfUu6WRRVtzdB2ZuEq/ezipr2HZdru3pP2irbDw7Xdg27UGLD1NUzw682NRySW3W2nGzt3NxUbVu2o9jC9r5NHmpjxwmsuJ6VHKq/OdkqP/fVq0vJoaaSQ0v5MUxfOqGaB++1s47ry3aSDt6FtSdpUR/oahmwVbY3lWD60onW3vOjJbEL919obbFW1LRX52K0s7ar56rt/V05cHW2nPTGrUXD5xt7azuxsBB6Bx2NnnfrG9rlll2XipdbpJedh6Uo2v2uuePC9eFDRXKnUyPX/daKKvmKvNfOfrujob0agCw9dJw3P4BVIvG7cHW2OM5gdWLHaOdJF8oOqgQFV2+tK/9oU4MNU1fPdJzsHI7N3p0J79Jq4Jx9x5q2nm/srT1zc8UB2Kob2h8sGtacZ8L1m16UrJmKTvrHfxL/n/9X++kn1EaiFvxdk74/x50Jr2xAWfTL8frc5myzvAHTO0Tg+N2zzNvnwMJa8uDkv7MzF6MA8o9Wl2A07o2fu+vD6ngj2458uFIdncDwF33+soPvx4WGNyu+dly/7t250gNdlmOmL51oHTzZ2JLOi7Krb9Btq0wWvB6QZfqNy3w5O14zD37jnYq/3S58TUUlZeid8AJIcjgoOXRweECR5GQWdBu2Hfno8nkfvpomd1dF/oV4p9PXv/GaXrMpYzbvfP9QvGFRSRkmHqSnpO/CVrHd2uoZmcaKb03uBLVNQ6LaJi7z5RbvUC3t0zcnV/B2KznUtCn/TIej0bMWXsDeR/HdLYEgCM3/RvMv/kpT/pdr0yHhiSUdmWPq6pmOC7K5MsmAUp/9maJCnIi/Zp1sbFHrYwmEGCWHmoDG3lpZY/EobxK1lQQAkJbD2kDc4CKT/vNYJXm0Xdux7Au9rGDftHSDh8yCDxZyd33YsEu1S/XmUHKoSba5QO2bFcN/exo2ZQk0bY6vhYoK6hFQVFKG3s+uTR3bmauIBfFOk8xSQNkD9uWK3ZAKptfSOGg5m478AiZvqn2fc7bmYTD1IQrD5xt7B8xr5ZKsGuejRvysR5ybY/5lw1p1SHhySUfmyN31YcOuBAOK752Y8vZY0z7Zst5eXRLfeLRDJvyGkZXtSKG0f4iMdjr68G59g9p+nw6rCnpMQc6O18yDF1Ywk+duNsO95qb0B0MlZ6wRcT3T1m8TLBfD51sHUVHTrqz3qSxuq2XtXpA25Zuh1jMlIMtSazUY76R/URzAI2NuVvibf6/75G+RaVibDglPMmnHrXh97qSN+J5Jf9IGgbASJa8muxFuyjdj4PpDz1Y0fL4rSf2esqOSV20Y6Opc2QizDKOXL3hRtiO+ZuRuNqeIaDDnmeAaljtapI8BMHX1TMtjS4CWs+M1s/9CVzxH2fD5rglrxe4H8wdPPQ/LY975epnXM3JteCBFoIeCqzMxE8yS58q2wj8hd69ySYZid+s9P7qakd0/S8/DaGetLEutRuAwm03wekbuJ/vZ8Lcu9Y36aBHOfKI58A61Y/vadEd4wllNTrC4Lm6RUi6uv1Upcgm/XxJ8SOOuBsnBGtudH6qferm7Dm7/pjWm6I4dlRBDIds+VnwXlJ0QFTug6d2D261dvhU7slU3HO1sOdnYEm+3ckxE4gIGmBaUKwAAW3VlWWNvzOyomPnNO98/OhnrSHZ97cODkuBD+iA5wXJ3fViDMx3xsz2UVCsp52ElSl619Z7s85cdrFY9beTcEsrdZa2ofNfbG/sCVCZgwN3aciE++Jx99gqPQzGc5R+t3/5Za+x+KKpuP9hZq7apPcpMJ7aK7dbWwS9G9yWq06au9k3cj46tqPqoreVkzN69ijOMDg8g/+iapAORbrjF74Z0nRfWojPCbwFS441AIBDWCCUsaJWhMQ+1xtvw+cbedJOYPTDSnWlEo9QzW9agL8JvAlJvhUAgENYIW3XNY614Ild7qVyzxOfUphwicBDUrMa2QiAQCIQHQq548vXV6ZLHkMdo9PIy1V74wpfWeDhxmLEfHlfXhDWG2FYIBAKBQGQOwlpAbCsEAoFAIBDWAmJbIRAIBMICa6Z1eIyaFcLjgug5CAQCgUAgrAVE5iAQCAQCgbAWEJmDQCAQCATCWkBkDgKBQCAQCGsBkTkIBAKBQCCsBU+AzDF96UTjg9XW+i3jvXa29rElJSQQCAQCYe147DKHXJz6AQtX/oYx73y9zNX7eIqIEggEQjpMXzpx5lLqysCjnUu9Nbk6W9aqZi/hN8Nq8nOMdtZeL2mvLsFoZ21ftrp6kKuz5dsdDYeK4Ops+Swv/epBSvL/dlX7hDqiANKtbDl19UzHNzvWqHDR6hk+39iL1IUfSw7V3zzR2nHevPrCkr811KXbV1WwVD4w4ZCkKrUyCSVnh8839g4sqmK6xBjkxok8yhKjS6EeXtqVQtWDX7he9aniLJxTVRQ3/XlQ/TwfpHrt8tzXd5Hu/bDoc/WBK5YsViFPxerrwcrDUM1e4sgfSiHfJYenroSc3sV6r51tQ9WxnVvzcBOqR/3CtjnbCgBTV8/04KB8UcPnG4dfbao255mUC+yCfc1/SoQnk1XIHF6vX7WRrdozddur2shL+4yjly94Te8eTLjvbdUN7bjPUoq/VXL2vWMbPNl36c2ip/pnOdrp6DMdbXrfBvk5m56YNX3pROsgKraXYXBS/XnOvmNN+1T/D59v7J3M2yT/4+psOenKf7fChKQy8UuOoeRQU8mhhXZTV890XDBvfRwCB96tb9iVI/8EWpaQU9VMXT3TO1lRIwvurs6Wk2cuycuzeef77TtVDUc7a7v8+eaFbaUjDJ9v7DgBealbbh6UmqhN+8zyGVrP4pGIHff1XSx7P8hrbdnBhvakyVTuLnn2hs839tZ2YuWVWD5bxXarazDNS4rj6uwdMJusao2BeuTp/y7uY3jTl04kfOm9J65tWlG+Me98Pa+xo3Yyv8yMLxpbBszbnbGx2Sq2f9bacsKWnwfficYJt62yXbkZSt6s+NrReLbMZsLk2VqXv+xgw9P8ZCOshtXZVqzx33DyI8CUH/s/z5y2kqNvArbXH0OhoycPW8V2q3fwi6dbD1lU3R4XInN2vGbGwPUVHVmmrnZ5XqtvOLZz6/LtvNe+HkD+O/IDdLTzJCrbm6qL73sMsjRcke4r70Ni+Is+v7WiSvlFFFUftWGgbwmF9gK5uz5siK8cth358HpGphc3U//cpq72TSx0hJJDB/Pd16+n6Eg9D9OXPnOZ3j0YE4uLqo/a/N+4Hr1N8L6+i4T7AcPnuyZSKiRcfYNu83a70qzk0MF8uL6+mmL21Ayf78LRpoZD9/E+NNp50pV/9KBlyQY5O14zY9L7ILO69PBy9h1risuIJa/akPpLT6bkUFND+w4MuPz59Q3tanVFzr5jTQ32PP+AC+80NahlNfPO99ubqvK9EwN4vb3p6dfgEtInPT3Hgkauo1Z5ceytbewtO9jw6vWYrrW15YK8p6tlsUI7FXcmvChbxaNENk/U5Pd1XJB/KIpuUKUy7YsPTz2A1JpnTF860ep5rf79zX3KJSRqNRMUvOoHltr6k6ipxtH67M9ialJll1px2tWinHCxojhnx2vmwW+8U8CTaRt6XOTu+vD9NJopq7XyzRZVJ7/Org55ea5ca2l4+uYkTK/ZYjfAaOdJFwCfF3gI74ipdIoLmLOt3sUdrTAP5jyTe/LOI75j7++7SLwfRocHkH80xS0xddsL644dsasePt81AWDCCyzXXcmhpvsTRofPd01YK2psuL5kE/lrsi1M6erNkfc9vKUYPt/YO2A2WW2midaWWvWzS364mU1lNnzW2OJWGWsUY6g5vwxfyysFETsIMunJHEXV7U1TV890TFQ0HCpK9JwoamifvnSi1fdOU7Uttoqn9YCQn7CrfJoOdHUoCtLpSydae8+PlhwqkjWxS/lzDJ9vXNA8e6+ddTR2qsQR/4XWFmtFTXt1LkY7a7t6rtre35UT+y2lsncmqJenL51obTm/8HOaONnqf7e+4VgOvNfOOro6X22qtimK02X8OWRyN5vx6J/gTwzT179ZncS5HPJL7dHVWsGXGsPyy/Ojw+tzw/RODhCzDR09mH+yy397Gra0V1zX9QmYtxcnt09auXOLd5gu9F127ZR/CFNXuwbdMCV3lDQPOTteMw9e6BveVa2oPdr6/DDf9KLkEarN7+u7SLofvF4/zBZcO1ub7ChzZ8Ib08sqxpfKsq7eyUcj+nuvfT1g3u7cmYvFehTVm0nZwYb489N77eyCKTDBBPbgDH/rgrVix4rfnffa15MVNe0775w/c/PNpupXO1u+GN2n+HP0DeYdbDhmvnSib+uxpt1Xz/RcnS6RDTdf9JmONr1vvnb2C/P77RWXTnRd8j7dhmNC2qTvz3FnwisbUFQ/VBmvz23ONiPhobkyXp8beG1VgwWsFTXKsp2zNQ8rG1MXfucA5CCRvt5vR2GLrf0Lrw5FJWXolV9xZI2rc7FZV1Yv18d+PLIfxvXhQ0VyywW/sMUdpYX3ET/BnxSGz7cOus3b7Q/n1SfxpfZBx/CYlBxx4h4G1bkY7VzVod5rZ0+6UHZw0cN90cpt3vn+0cmWk40tAADTuxX5SPY2XTwPubs+rJxo7K1t7AUA8/Z3bXCnoZp/AB6GkkPGO/gZatqb4uLF2fyFV6Opq2c6LmC7s6najOHzD2noyUxfauvDwqMjiQWXjuHzjS21MQ3uF33+soPvxy6k5M2Krx3Xr3t3xl94VD6zq/F+VZz30xPTzTvfPwZg+rrsTWWrbohPrLI96nNja6JKUtG1uCb9MAM5+459mPbQCE876cgcU1fPxMwZSQaUBVPChKNRkQBONrak9QMwZ1uR7FT/SPAOxscmU6baVglPiTrJJX3W/BfikyCz9Fq36hemNXdafBzIqtqHFxIia85X9/K39Bimr3/zWJQckH8RgydbcbSpQXVPmTant+LK2uzUXgvXU6zcirO2zGjnBbMlQTuSeh4SvDtdnYMqw8Qj4P6+i5T3w4LTBlC0+11zxzeuqV05m/LNuBBXncZI2yMtfaaudg2ioiYN4ank0MHhga5hF0rke2AgbpCViU93ss/sagZzpuOCNx3zt4pl5IalTZlqAYVAkElH5sjd9WHDrgQDiu+d2P16rGmf99pZx+Tr7dUl8Y20es7ZmofB/5+9t49t48oSPY9EifqwbMZMSXRHTXaL3XaKPWZa6pnx7IMtUC9uZjUWMEDsRRYiVgIEBvAzZiVgJiuQu2rwDyICqBUys0/ErJ6AcAlIAAkEsILXAD3qZpIRl/bOPs+HuKEnrNjTVDfZ7phmmd20ZVGiRHH/uFXFKpJFFvVBxfb9wYBLrI976t5b9557zrn3VnOdHgaHPOOxhimCtTReyLXcVf3CF5vDVjjYoXAtTVslGZigwmMxciDTHW+tGqQrSHm1CgoHJFduUmCo1HMnVv0xbd9lfm5Uz4fkyk1KcdF4hK7AfZVFmfpAEAoQRKs8jjHmGdUZAgB6r3CZJhr5cTCSa3doiBaizQAAok7HUrm4N+QJ4srisCMh9qVwYDCHh+R5K3QqWnTAnYmniw6k0aWRNHNBIqozRJkwbILs0dKhhRpX3CL7NFB2na7OvotEeslbdSoBmhHHa8uqvmxy7Q7Nix98OamicNDBebPNYRZbeqgsNU9qqCgD6p6Nx+V41l8xKqL+ZWbeRMQzSxW9WmJ1zmG2OYpqZiWFg+25r4j2W4xn4TrfMFA1HxgH0NUj9EBVkiG8aHOYbeXWmypbH3SXR4jYTTbT+FNa0Hwxtn1AMZ4HX5+wRLzOwSm71cX9G+/VgmJk3Ooq7fiTKwv+NGs90l8gIeA9xDWascKBOX5qWRMMBW3wD1i4ObSFybTVUQ0YNUve22zYEQN/VgjyN0tcJIc0DRlsPtaNwn5XnYNT4zDt5I8wJHxyOpNrfIV/F9ugqwYmxmDOzXfW8Np6ntuFHHJN8Bs+1cBw7x1nwRde1OfR1HqU6Dme4XW9oIO3A1Ds6qo6jBOsEYdGioXcCy96y/n7Ba7uNKpFKKGKMiRWvYcYZbIfiP4bMzBvYWqRRIta+JY/DUVGeC6LIp7yER68LNKyEdYsovnAm0OhYJd5OCL2VxYi9YGJRCk3qU3YPkhffnCJ1YujKNtrC6cQwl+nS5ixpMk66eHCbiRKKC5e5PMlGgBiNT4QgzlMGp5tZo8vdbTazwE+128PzCJL+1oiKbky7Qyp8XQyDAZzfGTP/QgdyO9/9bKmiDl2jne/FdXAxNArv9sI2nFmDCscGAwGg3m5OfY93vSj473g//wV3lf2doAcwuZNDAaDwbz0HK9vBYPBYDDfCrBvBVMHjt3OgcFgMBgM5pUA6xwYDAaDwWDqAdY5MBgMBoPB1AOsc2AwGAwGg6kHWOfAYDAYDAZTD7DOgcFgMBgMph5gnQODwWAwGEw9wDoHBoPBYDCYevDS6xzMVpw1b1haEcojsq0lR8RjtlXfEJIOzku5DIPBYI6T5Mq0WPsZ8Zg95XfMpjwVG0nMK0kt+8pGPOY1vcukh4jH7Ffyd0alPI67fdZRHVAex021tI0KBZt/Ht32hqqBCesA2hJzTdINlMcxC0XbziVW59x3+g4iYXjR5gO8ixu/0GvcipPZ1FRwF38LTf52weFFmy/Au1dQu4q38Sxsy8fbw1binq6HD2/v1uqb7nKISi78yoofKNxdlssiERmKcxWgzA7JhwJfAACQtBe08E0ZBLWFJ39R3UP31v4uKNultl0iZSHYOZnhoNVvn/WhHHRwfgGuTvV3q+Eh8Jr6wjGh1AIAJFbnlmEYpRVetIUv2E2EWsEk6oXrR1BPMC8iNegcNJ3mHSh5ZxKPaN6BWsKzIh6zN2YYtk59+/pgQq2AtYc06Iu+EDVRaFZIk9VVZ7FeApIr084QMDunhxdtPrMHpKodyZUFP2gJ4HUq7KbEE3pAvZTNw++ZyrenzPa/zHbhlMcx6/ScsZtIdEz3ztiZLeDNznmou9pBB+ctfmDEi3jMXocUPZXyOGYpplemg/MWTnJ2v2L0ldHBeYt3XsO+FJfWlPAdxWXQj9r1o4ULUf53H1VHUqsG0Dk4ZR/k/R1etPni6i7mL7bBcRVnZmJ1zr0EvSMkRGu1gkY8s5RCS6SrXwmVyqKoMaGD8xa/4sxBFY6a64MYRP8ltc1tjmsMBNyyOQJE7wybh6Sx96bTMU1q1JCatsWi5JCLeZT+ivG2xTZvIBUQnzdTacOwFSscGERtvhUt9w0XtzUKDfs3v28Wg1qLAdF75duncGCODsofihK915kRoX50WAPU7dWklFsTq94QGK9e49e5yOdLtGaSVVmI/qsjROxuNUMuTacBCg062adhjpIrNynFyDDbyelMk2T6DlXn7Y7Dt/xprfEq0wfoTJMkBPzVHILJlZsUGIYZZYvovzpCpJf8YQAAOhXlfZgE2aPl3bXgh3KDackyRD5fohUjxhosVfWEDt4OgOYaU9nCi95YWR2UDi7f6RtzTQyeqTkF9MyrF6UKJF4Wwsfe8qe1xstVjDoV2F99qIR+1G519UGASmvGrS6+Itg5OGW3XlenAxRcs1v54wei/4bLflVDxwJwyWV/5e27GB7S7BwFc7Tb7Ec/+cw2n2HYemGNNeI5HUvojNcRqGYLJdQKoEK3IoNl6yLfssqzWyL3xJjGz5rTxQynB7NMEoSCOUquTDtT1+wmEh7HaOZb5clWmkqR8VnDPoQ1ZnodzNmiMVwhe4/NpH/0JB7RoO3rY986vOiNAUCMBqj2vnRweYnWTParwFPhKtUZAu7QCYBKKi/Rf8ng983OrcxMDBLJlWlvTGscK1tRCbUiGn9c+WmHTPJhHBQXyYIPaJYCgBQNUGmMSKeioLnGfkd0cHmJBoCHNOgJ3eURwr3EGHLCi85QlBxCVg2aWo8SPddLc16qDIlVfwzIoW9rXWU0J6ZkI+EAaCbLNTVE/42pfSVAeXxoxH/PL+0G8bLgg1SlSZ6nRqQxFGdf9aEi4UWbL0AotKQi5nSY+W0X45NSGEi4aXNEeQ0yEltLaAxwG/UUWO3AIKTpHDqTy55YnXPHjNZRnTC4QWd1cX1zcmXauX5RQq9J9N+YjDtmvY5AyYeETIuT9hskAEB40eaehsIFAa9bi4zzyZVpp28xoh/VAUBidS58wW5Fhl++wXyf0CkaAKj1KKTvRoDkfS1E/w1XP/rY1oX3hBdtvjjjOEBqBABwJt8K8RyxWX/vjN1EIMn94YFaohxeHB7HaNYGxhi6hwxeX7yaloD6D8PwDRJA4PXW6Q3guxlMTLEZPksBQEFLCJTX8PSjdv0Fj8NiCwEoOCcLdPZdJEJLXOYnVxb8aSDKuNiOEDoVBcU1zulDaSaHNbPe9KMkkOIfFE2ngeghADg3waRxfdaPtATVwIT1fHDeYnMAAN+zQMfTQHTTHoelyOsvUQZk5Bg+yopKhyy2EDqstccq6rlRFkFw3lx7oEx5kFVsfJAA6ZYw0bLgIVSVqjWGZdlffaj0wODtuHHM1f94ce7hFbvpgsfBjRUpf0g9bJ0iVqb93VP2y6tzy6tJPYrnuOVXTNpvEMH5W8QNl3Fl2rtC63A8BwaglngObqzP6zwQdCpKKAkQNFhVQV5MyuOY9bvNfq4VKHQwAMD4BdfW6H6mvhYUlM7Ba2Rodi08qtMDqAYmTIUn92ngMKaC0HEYMWqW1sJSmic6eDtA9M7sJ8hUM8n2iGKhJC8RTDs4YzcREF6UcAPl8QXIoXKNo350/OG0kzW8kb0jRGyJO1WIPAgv2nyWOWDVDjRo652xD0Jw3uJ03GFqlGpgYihm85ltPgAAYl8O/kOBi3oxqSBSybAjgBevQAfn2V9RjK1m0n6DjHjMXkeAbxqkfHeHrS4TAOP156npVWQ4ciMHo9kDK5u0uBaW4p4bAIAO3YQxl51TeavHMYiDPH1jNd5esSyQjMVGjoqNYVHMbNHT9lEfRGBMQcm1OErHZOUyljmOpKLQDaAamLjBntGP2vUAQMXTQAB0Dk5NSM4nzMuOFJ2DNzugyIEyrrzJ1PsYNyiZtTmkT0koaB5ezwW2ySuMUBEVemCa6aFLA92lpF4eQqmF9UfJcIzuuWIErT9MJZVxUFyo2MSggePLqyscnC4NAUted9Hoqkr0T8QzS2km7SJ1SRA2mFidCxn6Sq/Ujw6HA971e0kY6GRVQ6R/9N+YgXmLf3mVRN2PIEaS8oR4nqC6QCi1EJp1wqTdyusvq4QTEoQC6JCFNZVxjyKADXlBn5XO5Br2mL2caRCAHOJ6ceRyuhsBUooMybU7R23k4EH0Xx1Zcy8xowsJIE9KkfZfCCRi3Bx3qMRA534cZ3RweQlqH11ULgsAgMS9tRJVqUJjWBwzy57fd32oTAW9QWcSs5fwFRQMBiFF51ANTFgHBA4UFOUAADBlH6SD85b4JZdJzx3UKgTZpwGqYL+twfKJuvmIpxBpDzy/xkGgwgFCP9rZdZFYfkQrq17+CpgoDojqDAEAvMBhcS87B7UWA6TFFvCZbb4yjm3UnpYND+LFjRaphgTZo/Wvl7knuXKTUlw01jGYAwA6u9UQAl78ILUWA3KoSqtNKLUQUxs5w3Xi3loaaUs8MzsAIG8UM0m4uLomH8bRhDMJMjCxwPWL5Hgco0Hb11X9QgDOBsMXmCAUyFvKZsXj2P4tWIl7a2m+3wcAQGCpLU+FsmBA7iqyuMrV7AbaV33AYOqG5HkrdCpadMCdiaeLDmokseqPAdFzvhMA9BdICHglLJMV8cxSZcPmmeBEidDB+eLlwjq71ZBe8scMfXoA1fk+WPKvMwMFcQhCAfT6vSQjm7lYhi4NAYG18ivnvCKQxl4tHVoIIhd4eNEbK4rPLy0L0mR12Qv/JkkAcshlt5YoHMiSXC6CJ7mywJsIQKgV/MkylD8ULTUkMJ6Fq3UPkNRfMSqi/uVVthaV1HBmgbvpIC+MoHPwGu+TQfG2aL4GGvLeYufy0MHbAXbaAtF/ycA7hdSIKzoJMqBpEcb6+eYpj483AwURXrQqHvlWAAAgAElEQVSJLMpXdjaN7vIIEbvJZppwSkutqAYm+HVybIQArXFMODWjjHgVygIAWFXpkrDKSW4M+eyrPmAwdaOWNcG4frekA+bm0BYm01aCv5QTAAickaTJOulx8Ie2/EFt1M9NnNGwoVVcTDjy+yhGhnu13hRzs8DrGWIjB6W4cjUXdADMUDgUJcpIHnU6ljjxdKYZ47wFyUD0zowrF5wp3tNUA8O9d5yFcIGjWEnp207n4NQ4cBEYB18FjrfwkUbgCxAUOi9QFIBA/hTORUiwC3IUz0iyHsuMDKF4UicxCT8Z3pQxxn7OGef5s8lQNIzDzCRcqJAVZUisekNRovf6Ec9BECyTRQ65xJxrxYQXvWUDTVCwDr/pYPNBMDyoqX2okUplgTSDMu6qyo2hGPuqDxhMnWh4tpk9bhkkwkwMOZrlSjEYDOaVJnvuR+hAfv+rlzVFzLHz0u+3gsFgMBgM5lsB1jkwGAwGg8HUg1riOY4ZZs43BoPBYDCYFxFs58BgMBgMBlMPsM6BwWAwGAymHmCdA4PBYDAYTD3AOgcGg8FgMJh6gHUODAaDwWAw9QDrHBgMBoPBYOoB1jkwGAwGg8HUA6xzYDAYDAaDqQcvvc7BbMVZvHnst53E6pzD7Hml96HFYDDfFpIr02LtZ8Qj1lJRnnJ7/2JebWpZhzTiMa/pXSY9RDxmv5K/Myrlcdzts47qgPI4bqqrb8PG28MTAGrYZ5UOzlvWemrZlFU1MGEdYG6Ueg8kV6ad6xePYnvJMoQXbT4Y5u+F/fLC3/GVt5lwZQS7jAqqSnjR5iu/SaZ4Qvy6V3aXTuYCyeIdLnzxDJJrBS+LSrdF5eUS/6UEW6oW7ir+NnkZKzx1SPuvopIqbgH4GzjXlhDKipKs42VCaWtTXob6UbVO7gORfADR+iAu2wJcnervVsND4DX1hWNCqQUASKzOLcMwKqnwoi18wW4i1AoAgOTKtBeuv4I7aWPKUYPOQdNp3oGSdybxiOYdqCU+j2vLEqtzbosthTdWfslJrkw7Q2Acc/WrUMNn9kDVJo/yOGZpbsf58KLNZ/F0u0x6gMTqnC/OPA0oj2N2boXpM5Ir086Qetg6pQNUuwoJRTwWv2LSfoNkLnMvEsJGObmy4ActAdEjyYIq0MF5ix9Gxq0DnUgncEhRRimPY5ZiviY6OG9xzgPXSUc8Zm/MMGx1FT0k4jF700xC6AlOzxnuAxTpfYn+G65+nqj8W/ZDYnXOvQS9IyREhSNoyuNeIoZcE/raEkIva+zVUiHhifCizRdg+tfE6pzbMgfsC4rKcHCkDpCq1slaEc0H8fogDtF/SW1zm+MaAwG3bI4A0TvD3ksae286HdOkRg2paVssSg65GNVQf8V422KbN5AKiM+bqbRh2IoVDgyiNt+KVt3FHBHdwjqk0LB/q4lalXTVwHCvFmJ3sRXupYbyh6JE73VmDKcfHdYAdXs1WfmmxCOaX9n0Fwo9j2pgwsqNCMk+DdDr95JsQuQQ22qrBoZ7tVSYsQLoTC6u9+rsu0hAYI1vFk6sekNgvHrteBrI8C1/Wmu8yqgLOtMkCQF/NYdgcuUmBYZh5qWI/qsjRHrJj14qvOiNlTWW0HQaQHGGNR6QfZpaZSXIHi2kH1UpvkrQweU7fWOuicEzJadIk5VTRgmyR1rjEF70wqTdOlqim9DB2wHQTDIPVA0M92rp0K1IFRkOCOVxWPxpg1HC4L5KnawV0XyoUB8qoh+1W119EKDSmnGri69CdQ5O2a3X1ekABdfsVv74gei/4bJf1dCxAFxy2V8NIy5GGtLsHAUzrNvsRz/5zDafYdh6YY016jodS+iM1xEoMnRLoqC1lLU08qzHIYuN0d953w/fzH5IVl8R+Kb+ggARj9kLk+PKm6xJX/BtC+zYAOi9yLWC/d/rKGv4LaR1fIbfQyLxiAZtX1/BLeKNAUCMBqhUUqoBo2bJ65sOdk31q+jg/CylGBmv0eXR2a2G9UdJIKtVCTq4vERrJvtV4KkthcMh+TAOioskq7JHPLMUAKRogErlTqeioLnG1jQ6uLxEA8BDGvREJBwAzWS55p7ov2Tw+xjLUHJl2hvTGsdq+mAZDfIAXxnRf2Nq/3eXIroHJB1PA3mJfbvEqjcUBQA6AaA6bBnYJObcS/ThtEK1u13E98IUrw8VCS/afAFCoSUVMafDzG+IGJ+UwkDCTZsjyvPUILG1hMYAt1FPgdUODEKazqEzueyJ1Tl3zGgd1SVW59x3+tjar7O6kivTztQ1u4ncZxhEYtVbaL/o4HzB0gjhRZt7Gsam+lWkyeoSNVcmVufCF+zWUQAoNRQfKgJTf3Jl2ulYLHxOsVknTNqtjInb67mAZEiuTBeGF+FFmy/OtB2DU/bBSvEclO+mccxlYjwRtyKDL/J3+zhGszYwxsA7ZPD64nQCoGIzqjO57OFFm9vsByA4J0sx1FoMiN7znQBo1O69vZrUs44DXwDAUKrcJNfu0GAwcg10+JY/bRi+QQJQcBzQqSgornHODkozOayZ9aYra0s0nQaih+8mmDSuz/pTNADQaSB6IDhvLhMgoh+16y94HBZbCEDBOVnYh5ZV6wEEXaBmUqQsDheaWucrVbWDlN0uAM67NzSy5luKP65S8fYJGvzsY9AFAMV1Uqwx3J9kdKX6IH5X8HbcOObqf7w49/CK3XTB4+AaIsofUg9bp4iVaX/3lP3y6twy+9GFb/kVk/YbRHD+FnHDZVyZ9q7Quhd6yIQ5NKTHczyO0cgUwes8EHQqSigJEDSaEojN2hzoSMt65fntPgAwfsG1Nbq/cn1VDUyYuD/IPs1RdRrJlZuUYmScFaZz8BoZml0Lj+pQG6EYGWdN3ISicJdgJKq/QPoCEts7cohtX7o0BNyp2j2/ADD94ozdREB4UcodEY/ZG9Max1z9sDrnttjWS4ePdHB+lgLDMFsuOtOMcd7CGt7KO7YhvOgMRYne62ybS3l8AXJIup/7qOCiXkwqiEi2t/D89HRwvvA7HboJYy47p+rNa8a5KD9fgOidsQ9CcN7idNxhx9DFQRvCmJLC2YjHbHMc+fg14rH401rj1YOPH9ioFysJiVXp4eQ1cdBY1KI6WbEx5EdJg+SIbNH6IApjCkquxVE6JitXFsxxJBWFbgDVwMQN9gxja6HiaSAAOgenJiS8PebVQIrOwYshL3KgFFwJMW5gNGtzSPsARIcCAc7RgJDw+ZYG21e/Z5+kl7hMQFRtDgmlFkJ3I0DqACB8lwKtsavaPS8fXRoClrzuovi1atE/iVV/jDMpD0yMwZx7ybtyntemo6Iv6vz4HSckV6b9mgulsxj4fUPEM0tpJsWM0vWBUGohxJnKWApRF+VvIhRAhyx+pMYVHsUcFwJoAHSXRwj3HSox0Kmig7cLr99/YwbmLf7lVbK4+yH6r46suZcKWjUPnWmSdMyWPXVYsOrmweZxqM4QEPW7WZMhQyE07RDpHJyydy/afPuKiC+pkwBQoTHsRFbSGhGpD9VvrKA36EximjpfQcFgEFJ0DtXAhHVA4EBJXWO/qCn7IB2ct8QvuUx67uCAMtU8eIp4CtH+wIRWHBn7dNNybcdhzYV70VCdIQCg90ohxkWKd7nIqKY636cA3iC1rMJRBAop5bV9ZRp3ai0GSF0u4DPbfHUtrM5uNYTAeJkTlVqLgUDychBKLcTUhVjFxL21NBM3QyiA5oeDPI6x8ah0PM0PAyfIHq1/vdzTH8c4x0QxPJ/FUXA4CgcAAKFWAKW4xj0nuXaH5sXNHDL6UXuXZs49a5uvpaEor3DAPhpDcQjx+oDB1A3J81boVLTogDsTTxcdHAD9BRICXo+Yb4QgFNz0BBGY4ESJ0MH5GpYL6+y7SKSXvLWtLYb6PJfdiv6VtKFdmoNGqr8YkMZeLR1aCCYAABWTlte/Qvmy6NIQ/Lkb4Vv+QmcpSeFAFvWCHly+cSdNVq6AXHbrJAlADpUrrCNFf8WoiPqXmbk8Ec8spRgx8jV4ZoG7aSYPAQA5+AqfDAqDZfpX3eURInaTvRhN30CnCLWCP2mI8oei5QwqlMfH3VIEHVxeOrqeu4rCEV60Ocw2qetNEf2XDBCbZdatSqx6Q1Hy0lEuvaMamLBOkuklp0QJxRSOKo1hzYjXBwymbtSyJljBYKssUsY5Q+XBLZakyTrpcfBHnIKmB1l0OVc96m90l0cIN+vyUIwM92q9KeZ6gdczxEbMSRl/CH0ojLdIhcz7nCMJJAxESNOQweYz23yFnwTti2pguPeOk73ghZ+fIk7n4NQ4TDuZqU/ShrDFGV4U+gNFxmcm94SrHtn5C4LdDoAgRhIOdSh5QAjk5uBqsrSBsvCT4bssVQMTQzEbN9escEqYkCA4V7ACmzD3ihdnO2AMqWAyF//bTKz6YwAQ9XOSQwVXLAt/GTGIolrBfLb6UTsA9w2KLoxWU/tQBdJknQnOW/wrV6rFTlaok1Uaw/JUyAfR+oDB1I2GZ5vZ45bh5SaxOudeIvgBLvypKxgMBvOtIHvuR+hAfv+rlzVFzLHz0u+38u0jEg7sZ+U0DAaDwWBebLCd4+gpmtV2xEuWYTAYzD7Adg5MHcA6BwaDwWCwzoGpB9i3gsFgMBgMph5gnQODwWAwGEw9wDoHBoPBYDCYeoB1DgwGg8FgMPUA6xwYDAaDwWDqAdY5MBgMBoPB1AOsc2AwGAwGg6kHWOfAYDAYDAZTD156nYPZirOGzWMlQHmqbWsZ8Zht1TeEpIPzUi7DYDCY4yS5Mn147SfmVaaWfWUjHvOa3mXSQ8Rj9iv5259SHsfdPuuoDiiP46a6+u5laBfywt+SN1Olg/OWtZ5adl5VDUxYB5gbJd1AeRyzwN+SDdA+bXf6DrIrW3jR5oNvzf6lxwZ/GXiyKJPLI6wqZZaNR5udCveG5e0rCwClu3EiMcrVOl5yx7NEPf99a9rw9vDygb8xaXEm7Fu8GqkkQwV4O98K7xLuP1BGcuaCQ9hqVVSGCoh8FxUrv2D/WOHXJH5qXx/gAlyd6u9Ww0PgNfUYzP6oQeeg6TTvQMk7k3hE8w7UEp/Hfd6J1Tm3xZb6lmysTKgVsPaQBn1Rb8TflY00WV11FuslILky7QwBsxl9eNHmM3ugaqtH9N9w9TPHdHDe4vSc4epJxGP2xgzGXi0VKr1RpEdMrM65l6B3hIRo8aiNOXXQLdoPAB2ct/hhZNw60IneziFJTz3UfKA87iViyDWhh5IM36d4tVNBhop3OWYpplWhg/MW5zygTjq5Mu0MqYetUzr2LbzzmqL+2xsCQgEHHsiLylAB8e9CvPKzu1VP6Nkn+KaDXVP9qkqnBPmQWJ1zS/sAL6ltbnNcYyDgls0RIHpnsMKBOQC1+Va06i7miOgWtssKDft37TumqgaGe7UQu1vBVYF58aH8oSjRe50ZZ+tHhzVA3V5N1vAEguzRQvoRc0t40QuTdutoLYoqHVy+0zfmmhg8U+7UEki1tx0N4Vv+tNZ4lemidKZJEgL+qgbtQ84H0mTl+iGC7OF9mPsTbz+IyyBOcuUmBYZhRjUh+q+OEOklfxgAgE5FeQ0UQfZohbeior9uVBxU7goyiCPxuxBW/scxmtcad/ZdLNRa0VOUPxQlh1gdUTUw3KulwhIcu/pRu9XVBwEqrRm3uo7zA8G8DEizc0Q8Zm8MAADcZj/6yWe2+QzD1gtrrCHR6VhCZ7yOwH5MlIVGgW9R5KzBPItlyGJjxnO8MRzfjHwgqzhBsE1PcmXambpmN5HwOEYz4lW0vReZsjXsQ1hjptfBnC2yZhey9yXecjbxiAZtXx/71uFFbwwAYjSA5PdlWmfmev2ovbpluAii/8aUiHj31tI88Y6D5MM4KC6SrMoe8cxSAJCiASpKdbj5cOji1Qs6FQXNNXYITgeXl2gAeEiDntBdHiHcS4yRILzoDEXJoSme22XBnzYMDxLgOUIZRO+R+l0UVf4rxtsWv3uRQB5t9xKtmWS1FvFTQjq71bD+KAlklQ8wvGjzBQiFllTEnA6zZD84BlMWaTqHzuSyJ1bn3DGjdVQnDG7QWV1c35xcmXauX6y510ysegufEx2ct/gVk/YbJABAeNHmnoaxqX4VcmeIxHMkVufCF+zWUQBA2ok0Y6wodIoGAGo9Cum7ESB5tkTG2plcmXauC+8JL9p8ccZAitQIAADoHJyyD1aM54jN+ntn7CYCSe4PD0hwsr6API7RrA0M+QKGhwxeX5xOAEiP/tFMSnZ8BMQ0vEriPV60uWu561ChU1FQXOsE4Ez0w5pZb1pCr1CJGvNBKBG1XuhEj0a82mSocBmdBqKHAODcRpPG9Vk/UolUAxPW88F5i80BAIZhq4v3NDT6n9IBHNjOWlEGMap8F2KVn+i/4SJXpp0OMwCQQy6e3il2iuzTgPf2alI/wBSiLwBgqKb008HbceOYq//x4tzDK3bTBY/jVmQQx3Ng9o30eA5urM/7SBB0KkooCRC0ShKIzdoc6EjLddUQvuVPG4ZvsOqC/orxtmVtje6v3FaqBiZM3B9knwYOYyoIHYcRo2ZpLSzlA6ODtwNE78x+gkw1k2xPIBZK8mJRFCAsjCfgYiZMBIQXpT2w4NWOeMw2h4TQRf2oXT/KHIcXbT7LHEjpbgPe8CSjuSZW59wWT7eUILtDhvPum1QQOeDIe5/5wBDxWPxprfGqQHc/TPH4xksob+QrK0NFmc3eGNIq6OA8+yuKqdRM2m+QEY/Z6whw4ZMRzyylmazdUFS7DJUR/S7EKj/6ygzD1ildeNHmM9vCk4Kwm3KndKYZ47yFNUiLBQAVwZjEkmtxAAAgTdZvQ9Qd5sVFis7Bi4IucqCMK28yjoMY5++YtTmkRUSL+l8KIzOEhDayeCIM8mvsD0KphfVHyXCM7rliBK0/TCWVcVBcqDwaiKdLYlxeUfiBbzy6NAQsed1Fo8zaon90pknSMbsWHtVJ7yT0o8PhgHf9XhKqmt84TzyAasCoWfKGKdDXr4UllFoIzTph0s5v1hVnDseKUEM+ADAdp2CeyxGIVyUWu1QGcQhCAXTIwpoMOZkJAIh8vkRruH7XNewxe32LEf2oLrzojRmGD60TrSSDKJK/C0HlR2MzpH/oR+0ANt+sJ+wyVT4l/DaTK9N+zQWJFovOwakJaVdiMBWRonOoBiasAwIHCopyAACYsg/SwXlL/JLLpOcODihTzXPwIp5COD3w/BoHgQoHCP1oZ9dFYvkRrax6+cthojhKVGcIAOi9wpVsJBwAzWRtRlrk/O6qfiEPmk5L6Bq7NATc4Tl60F01JXRQOrvVEALjZa4LpNZiQA4dVo8oLR8AQKSzP2LxJMlQAUKphZjayFlxCgE6PJcHAADo9AaIAaAayIuyAgA0ZNq3W01cBnGkfxe8yo9iawrP1V8g2UiyCqeEIKcSNlpg6ozkeSt0Klp0wJ2Jp4sODoD+AgkBr+gyWQShAHr9XqXJDkwQlkTo4HzxcmGd3WpIL/ljhj49gOp8Hyz516sNVoSCFWJCObo0BATWqkSwv9yQxl4tHVoIJgAAFZOW14FB2bIQQgeXl2heGKMUkisL/nRRQuVQDRg1Uf/nbMVDczSq3nW46K8YFVH/8ipbi2YpxYixaJ0Yh9nmmGbysBak5kOFzr6qeIdHFYUjvGgrWZSvc/Aar+mgg8tLtOZavwpY88Mt9mI6eDuAItZ1JpfdWvg3rAHQTNoPMDVDXIbCe9kcRcsAVv0uWLF5lZ9po9j2JLlyk2LnqlQ4xYOJyHk5Q8cw32pqWROM63dLOmCuTpdW7lohTdZJj4ML9YCihYyQgZFzSSKLCBOXjn5UjAz3ar0p5nrBWkBowovEuSGM1ZEge7T+UJR5YcFiO1GnY4kTj+8rJXpnxpULzhTvaaqB4d47Tp/Z5gM4jvjEbwOdg1PjMO1kpj5JHMIKXP4Ef/EMYVmg0Spy6gkKXVEwgEGROiisD6gEeTFGB1gCbp8Q/TdmgPO4S6yoh5sPiVV/DACifm6GGnBu0H2Jtw8qyVABYdPBu57xp3D2jENY+KtmGSog/l2IV37GacK0JwLbcIVTvIl1wrBTDKZuNDzbzB63DBgMBoM5ZrLnfoQO5Pe/ellTxBw7L/1+KxgMBoPBYL4VYJ0Dg8FgMBhMPcA6BwaDwWAwmHqAdQ4MBoPBYDD1AOscGAwGg8Fg6gHWOTAYDAaDwdQDrHNgMBgMBoOpB1jnwGAwGAwGUw+wzoHBYDAYDKYeYJ0Dg8FgMBhMPcA6BwaDwWAwmHpQyx5vLzBoc6Mj3NvpiKCD8xZ/+jD2GxNu74T3k8RgMNJJrkx74XrZnSkjHvOaHjcpGInUonNwdSviMfuV/J1RKY/jbp91VAeUx3FTLa2DFGx6eTzbeL5K6Eft+lG0U+UxSsEvdEmqD09V4ijsyss/y1cohXfxExLWOhDsugnAKnkAcJT7plaCJ0CxbOKI5UPRBcI3qlgW5ZTdymVxmPAzoaaC4G3EWnpXuYHHEbRCFWUQQbwsxOqDYMvZkkKXkA9l0ioLHZxfgKtT/d1qeAi8pr5wTCi1AACJ1bllGD6GTwbzYlGDzkHTad6Bkncm8YjmHaglPCviMXtjhmHrlKQm9eAwPe4LB9F/w9V/3EIcFsmVaWcIjGOufhVq+MweqNbkFRVcYnXOvUR0E8yxL848DSiPY3Zuhe3/+HeFF22+6WAXry8R6wkSq3PuJeDvGF5v6OC8xQ/MpvMRj9nrgOpqR4V8YKA8vgCh0NK8nyqUBXOq1wChuCChCmVxyPCrPR2ctzg9ZyRYKCmPY5Ziel86OG9xzgNb0OjUiFEBfuE9nYNT9kHmOLky7XQvEhL1vJplEEW8LCrUB9JkdfET5RV6JRnYhtcl+R2J/ktqm9sc1xgIuGVzBIjeGfZe0th70+mYJjVqSE3bYlFyyIUVDkw1aovn0Kq7mKPitkahYf9WE9UHCtRaDIjeK3VSODDfCih/KEr0Xmf6fv3osAao26vJWh4R+XyJVowYkZqiGpiwcpoE2acBev1emafpL5AQjT+u+mw6uLwERzJql0z4lj+tNV5lugedaZKEgH+FrnJXtXyIeGYpzeRwD/8e8bJIrHrXL45bp/q7qyQrKIsjhCB7tJB+VLWeJFduUmAYZlQTov/qCJFe8ocBACKeWRhy2U3nKz+hs+8iAXE6sX9ZK8ggjnhZSK0PZJ8G6BRdXYbwojcm2XjGoR+1W119EKDSmnGri/+BdA5O2a3X1ekABdfsVuxewUhBmp0j4jF7YwAA4DYzAwWf2eYzDFsvrLFGPKdjCZ3xOqpGThBqBVChW5HBktqfWJ1z3+kbuxZ3M48VGm/5FkVxqzj/rsTqnHuJLvMoAKFJU3hWaN3lDRr8wB8lUx7HLF3N1J9cmXauXxy/ccbPCC8w4Qqtu4WXKuR5ORu74C7ewF3s98rw0uJLTgfnLWs9MxPdt5j3Ooi7IfGIBm1fH5vD4UVvDABiNIDUByZW/TEgh2oTgGmCq7aGiXtraZ54x0HyYRwUF0m2YkQ8sxQApGiAA0gVXvTGtMYxEtZ4P1YoC9XAxA0Jj91XWewLpkuumhCdioLmGvuZ0MHlJRoAHtKgJ3QmScN6pEWRB/CtVJBB9B7xsgCJ9YEpC7KqDJFwADSTNY/0wos2X4BQaElFzOkw89tJ1NoQCgMJN22OKA4Uw0hAms6hM7nsidU5d8xoHdUxagHTa+qsruTKtDN1zW4i2c61aktE9N+YjDtmvY5AOR9q1O+eJYdcdj2q7gvBvinObkyzpu/kyrTTsThc8CzOUgrGCClANTBhHWC6T+GZ5Mq0M6Rm/TuUx2GZA+ZzingsfsWk/UaR2kT0XzL4fXeoxEAnEjh8lwLDcEHh4EzcdHDeYvPwFK/0ktOhNY65TCqIeMze5VUS5VJ4kSdDSZ4zjy0+FfGYvTEtm5bYG0k17UY8Zm+ayzrK45jlS06HLLb1kXGrqxMoj2PWu3J+n5aAxzGatYExBt4hg9cXpxMA0lp51CWIaA/Icna+8KYF/U9rHBNqbOklTj8utJJIvMeLNjejNR5NpEIl6FQUFNd4voDJYc2sN/0oCaTkrr0oH+jg7QDRO9OvAoGd4GjL4lDgKf2aSQneLppOA9FTGGZA76RxfdYvQWPjqemG4dIGpBaZ9yNDhbKoUh8KAzCid4bt7CvIAHQaiB4IzptrCRiig7fjxjFX/+PFuYdX7KYLHgc3VqT8IfWwdYpYmfZ3T9kvr84tryb1OJ4DUxnp8RyPYzRyoPA+EgSdihJKAgSNZlWQP5LyOGb9brNfWPsLPYH+ivG2ZW2N7h8kkis3KcXIONv6dA5eI0Oza+FRnZ4dy9Y2BKf8oSg5NMXzTWqd6/eSwD4kdjcCZPEHyZMHAHjjhkLjDgCsdsJ/QkG10ukN4OOP7wPoLaTCDGtKg92YESGbItF/dWTNzdOQKj2NyzrSNGSw8SUv2DbIPg14qzfiQhNRUbvGxUyYCAgvSnldETmLUpwtKH8ILvggsTrnNq+xCkSx/14QUxLwhiftVu4ui6f7GMZtnHffpIKIp6Zbi/MhubLgh8InU8yRlEVNCAMhBVa0QkhHxGO2OaR6BHjxCnRwXpIQhSoRXrQ5zAcfrO9DhgplIV4fuJAOOjhvsc0LbJBiMtChmzDmsnMqzrym2piE6L8xBQDJtTibKDcSY44jqSh0A0i0kGFedaToHDz3RJEDZVx5kxkixCy2EDoza3NIn41Z0Dy8ngti7hia6+d4I1Tmfu6oEFBSA5TPLLAiKC6i/3Um17DH7HWgIS+/vSPIHq0feYUSq35ktebkDHGZgDDwjnlamn7UrucdA9hYMSTnWyGwpoiSmL5o/HHVwWvp03hDXsUZrkliTC9VEIl77dIQsOR1F8WvSYn+AQBIrt0RGVgjFUe8T1INDPfeEWiTLJ2D143rFgxfjTwAACAASURBVH+YAj0qRM4LDqAaMGqWvIVT9YBQaiE064RJu5WXKC//K1KSD4lVbwiMY+V6lKMqi1rhB0KKojNNko7Zano5QSiADln8qNvmflXW0iroR4fDgQMU+r5kEC8LyfWBP7qoIkMhcARAd3mEqDomYekcnJoQOSXRdYXBAIA0nUM1MGEdEDhQUtdY/WDKPkgH5y3xSy6TnjuoVQiyTwOUuA258NEe9vTFCn08178WTR/g7CvEwzs0z9sK+7bGcyNyiVM5akNUO6mI1O6nBlRnCADgBQ7X4l0Wc+pXUzjQRaLmNzrOGaK7NATc4TkXaDoNoJAk3GHR2a2GEBgvcx0Mtcbz01ekTD4k1+7QEPVzAVgAAFGnYwk0k3bTUZTFkYEiHqpVY0KphZjayH2A+wnQ4Tkm9sV+ZKjwXUivDzzbcwUZCAVv/MbchcHUGcnzVuhUtOiAOxNPFx3USGLVHwOi53xpK5ZcWfCnDej76ey7SKSXvOXC+NEpp4cqPSUO2acByrcYqXadTm8Q/kAae7VUeJVaj5KXCqZgskdLhxaCBwh6B/0FScMr1fk+RdTvLpW86I3o4PISrblWZb0B9LRlbv4I5fEFjmZKEWns5WURim28zH9jOjhvtjnMcyVFjHxnxmJ9TpLCgYLyyHIj14hntvBY1YBRE/V/zlYhNGXgcv2MHAAA+itGXllEPLNU0cSQxOqcw2xzTAurWfl86Bycsltd3L/xXi0oRsatLruJlFAWooiUxdFBB5eXipR75ASxOQSfQOfgNRICXqYRkFb5hSRXFvwHiyOuKkPEY7Y5zDZBSyVeFlXrAwPl8QVAc6EwKBKRQXd5hIjdZCsPHbwdgBqzCIM5MA3PNrOSLuTWASu3IBhaB0zygmA8Zw2iYG8oOlVk2Ci+UXSRHM7kULIGlOCZgvkahbuKIhJKolyRGCVGl+K02AkgbGhnma6x6BaepUTo6gYAoVVGILnYG/HmzhS9qfCsyJQf9LviMBdv5b1vaewwI0axuYh1dRfbkMSXqBKbCgTi+cMXQES8+lBxUTKm/u9nqa7S+G6RsihT8YpmgR39jOLy33IB5pVL1U3ejUUTx4oaAfZese/ocIQvmb7HJFfyu/h3IVIfhC1hib1WXIZKy8dlz/0IHcjvf1XDCx+A+qeIOXYk6xx1Ai00hOdcYTAYTF3BOgemDuA93jAYDAaDwdQDrHNgMBgMBoOpB9823woGg8FgjgHsW8HUAWznwGAwGAwGUw+wzoHBYDAYDKYeYJ0Dg8FgMBhMPcA6BwaDwWAwmHqAdQ4MBoPBYDD1AOscGAwGg8Fg6gHWOTAYDAaDwdQDrHNgMBgMBoOpB6+IzoE2oqxt49lvQ0Joq9Xp2rarrdvLYjCYV4PkynTphs+IiMfsCddZHMyLS1MN10Y85jW9y6SHclvL3u2zjupA8tayxZs9Htc2nph6g8q9zGahovC3exVuJSq2SaZwq1X+rpslW4zyHyieUP3YhwzCnWD3kw+8r6/SLrXC/ZYPZxfWsuw7IV5WlN7FezU2K8psonvg96oogwj84hBuElt75S95Kf63VmHLZRHo4PwCXJ3q71bDQ+A19YVjQqkFAEiszi3D8FFVCcxLQw1rn9PBeUv8ksukp4PzlrUeXp+RWJ1zx4zWUV1idc59p0+C9hDxmL2x42rWMccEsxP6CBFaoqXqHHRw3uIHpu0WVBtBZaM8jtnyzwwv2nxxrk8t3dK9ekL14+AySM0HPsmVaWdIXT4h0X2e6eC8xa8o3pP9CJCeEOVxzFJM7yvISZCamQd/qUoyiJFcmXaGgCma8KLNF2DVjv1VfsrjmIVyW3MLC7pUPJGVyJFIGgMAULFAiQYDpEYNEKdiUbLm/cDx2uevILX5VrTqLuaI6BY2agoN+7eaqG6uoNZiQPRewQrHqwQdXL7TN+aaGDxTw03hW/601niVaRZ1pkkSAn5k41UNTFi5HpTs0wC9fi9Z+gT9BRKi8ccHSKhuHIIMZJ8G6FS5W8TzobPvIgFxupz/LvL5Eq0YMZbpSAiyRwvpR2Uy/JCRmlBy5SYFhmFGXSD6r44Q6SU/svmHFyVpbyj/L+9fi6okgyiUPxQleq8zNVk/OqwB6vZqEg6j8guhU1FeQ02QPVpJb6UftVtdfRCg0ppxq4uvznYOTtmt19XpAAXX7NZaFQ7Mq4k030rEY/bGAADAbfajn3xmm88wbL2wxtrxnI4ldMbrCAhtfaUQagVQoVuRwZJWgNHfr8XdzGOFRni+2bCoERHYYwt3JVbn3Et0mUcBCC2NwrNC667owIU3whBPiB1bn/EzwgscSYW8ZWDO8n4vtanC8JjGzyZXGF5UfNkio6uopb1K2e0bov/GVK33JB/GQXGRLOTVLAUAKRpAol+G7QaqtYYHT+jgHIIMiVV/DMihMsVXIR+QYkGWDhWYp5UdpjM95dEb0qUmRKeioLlWcJMtL9EA8JAGPREJB0AzWd2JcDsAmsmDeHgryCB6T+IRDdq+PvaC8KI3BgAxGgAOu07qLo8Q7iWn54zdREJ40RmKkkNT1UswvGjzBQiFllTEnA5zqaeGUBhIuGlz7MPOgXkFkaZz6Ewuu4gDRWd1JVemnalrdhMpbrgugui/MRl3zHodgXKRHFG/e5Ycctn1qLovBPsEJkT7IAGoujsWhwuexVlKMTJuLUlaNTBhHUDqwprwDGtpnGKfYJkD5nOKeCx+xaT9RlHbTfRfMvh9d6jEQCfj/L5LgWEYfYHiCQEApJecDq1xzGVCysTyKnljoBMguTJdGIEJrd86k8vO/Fj6uIDXbRi2unToLXyLEf2orrIMSB0pq0+EF71w3W7lVLTZuRXpwRZHC52KguJaJwBntR7WzHrTj5JACgsaWc7OF34seLu1xjGhapte4vRjrpWUnNARcgAZCtok0TsjaPfF84GnaBqGSz8cVhcRqik8XVwzaT/CSlJrQjSdBqKnMMyA3knj+qw/RQMAnQaiB4Lz5kqBMoxR4SDadgUZxOV/HKNZ2zDjPRkyeH1xOgGw78oPQPnMTLvBjylRDUxYzwfnLTYHygSXBEszHbwdN465+h8vzj28Yjdd8Di4sSLlD6mHrVPEyrS/e8p+eXVueTWpx/EcmMpIjyF9HKORXY73kSDoVJRQEiBoNKtCmqwu9C353Wa/sBUo6Mv6K8bblrU1un+QSK7cpBQj42zr0zl4jQzNroVHdXp2DFdb+BLlD0XJoSk2UdLYq3Wu30sC+5DY3QiQxd8kTx4AkDZ+QhRUK53eAL4YDdBZNDDSXyB9gfhjgOojrUL/0dmthlD15FH/MV7WgKEfneD6FdX5PgWU0ZlqQGgiOoxgTNbhjTS2sinOFpQ/hH7Urh8FQK2/eY0dnHUOTtkHeY/1mT1QZO+pkFA92JcM6GsClPm2eV43I5IPwM+K8KLNYS4epJY3chD9N1z9AAAQ8ZhtjgMWrjDaURBxuc+E2KAHlw7o4Hzhdzp0E8Zcdq5rn9cIh0aHYOSoKkMlGB1lxm4iILzIP1N75ecqA6Acds4D87LcwOMGGfGYvY6ABMsEY55MrsXZh3NtCHMcSUWhG0A1MHFD2stiXmmk6Bw8i32RA2VceZMZKsUsNqbnm7U5QLKRraB5eD0XxEz6NDdQ4I1Qmfu5o4KfsgYKowHmIRfR/zqTa9hj9jrQAJHf3hFkj9aPvEKJVX9MaxyTODDiaWn6UTubOYRSCyFWuQnfpUBr7Cp//yGgOCOik5UEuh8omUJvcXAIpRZCs06YtFt5+Sx4EaTiiPdJqoHh3jsCbZKlc/C6cd3iD1OgJyUkdOQchgxE/9WRNTfPFMchng+gHx0OB7xhCvSFdJNrd0qMHAJ0pknSwSj9+4XfOx4wIYJQAB2y+FG3zf2qZI4LAROMi0GYRYl7awc1clSXoTxdGgKWOLMli5pQHUblB9I0ZLCxptnI5wVLJ9PEcSbSanQOTk2InNKZpNhLMBiEFJ1DNTBhHRA4UFLXWP1gyj4omM8Sv7QPlx7ZpwFK3IZc+GgPe3peBd2IcW2gUYsDuK+as68QD+/QPG/rAQiwys2xTBimg/NcpD2I+oaOCWTF4YX1UWuCeIWqbS5AJfMbHWeN4dUSqgeHI0OJGZKjQj4UnAJs0tWjKFAgwtGpyDUmRCi1EFMbC5Pp7q2lmTgJQsEbtwDKIgGiES01UkEGUVRnCADgBdQXrKeHUfmTD+PsgKe4lHV6A8TE78RgjgTJ81boVLTogDsTTxcd1Ehi1R8Doud8aQOXXFnwpw3oG+7su0ikl7zlwvjRKWdtq2CRfRqgfIuRatfp9IaiG429Wiq8Sq1HyUsHVICQf8dlt6J/R6hw6PQGiM2KrerDkVxZ8O+vEA8BtACaWSCk/opREfUvr6KY/IhnlipMo5DU5qKgPFJfpueOeGYpYGpXxYTqRVUZEqtzjsprxFEeXwA0F8pkiHg+JFcW/MKuETkrjZWiKOjg8tIh6dyVKZcQWvXOIfh4OwevkRDwMo0AHVxeojXXGG/m5REidpPNNORGuVb41pAX6aDfchUZEBGPuWS9PtLYq6VDC4x44UVvjJ07c/DKn1j1hqLsDEFkhrnFZhodvB3Yn3kYgzkAtawJVjBUFlsLuTm0hcm0leA5axBF9gZBAJSVFwA1BnNuzokDBa+HamDCesbjmLU5WFFZv7VgRkbIYgsVjCVCBwr/rqKIBK1xbIr/YXf2XSTcS37FyDhP5goJiYMsnwL/DiuDwN+BhKzqsaokg37U3qXh5x77NBQYy2adZnJYM+uvlMj+EczQkZpFRP+NGZi3MD41/vXhW/408KxEAGzulSx8VLD9CmTQ8K3W4gnVj33JIPyamOBrACizAJRIPhQFXzMd1fWSzkxQJwk2mvsI2F9CpMk6WWgE+OHSqoGJoZiNm3MniKRGOk0lL1ItiMsgTufg1DhMOxnx+MbO/VR+YX3QGsdcBadSUYt3VDPUMJgK1LAmWF0QXYPoZaT0ZcUXbsJgMJijpP4rdOE1wV5BXpH9Vl4QIuGAtEXVMBgMBoN54ajFt4I5ZNBUAr5vpewSIxgMBoPBvAx823wrGAwGgzkGsG8FUwewnQODwWAwBThVAIM5dHA8BwaDwWAwmHqAdQ4MBoPBYDD1AMdzYI6QnZ2dnZ0dyOdlTU3Nzc2NjXXVcXd3dzc3n29ubjY3N5840dHY2Li7u5vf2yu6rKGxsampqbm5OZ/Pb2Uyzzae5XJ77e1tLS2t+Xx+d3cnn89zFzc2NDbL5XK5vLGxMZfLPX++sbHxvKGh4WRHR0tra3Z7e+P5Rj6fP9lxsq29nf++e3t7u7u721tbW9tbe3t7crm8tbWtqakJ3ZLL7Z040X7iREdT01G5O3O5XGZzM7OVyefzjY2NMpms7GWNjY1yeUtjY+Pm5vOtrW25vLm9/URud3fj+cbOzm5DQ0NjY6Nc3nziREdra2tDQwO6a2dnJ5PZ3N7ebm5ubm8/0dzcnMvlstvbO2zuNTQ0NDY0ylta5HI5d1et5PP5nZ2d3Z0dAGhqbm5ubt73ozAYzLGAdQ7MUbG5ufmH36caIA8A+Ty0d3ScOqWom9qRy+VoOilryJ9RdWWzO/9G3T/Z0SGXN+3linWORlnjXg6a5M253N7W1qbu3A/lcvn6+m+ST1IKxcnmpqa9PZ7O0di4m8u1n+g4efLU06fpne0tbc/3AOCryNfZnVxzs+z7GvWJE+3hf4ucVr6O3ndvb2/z+fP006fZ7FaTrPGMqiu/l9/e3n6UpGUy2d5u7s1zP2hra1tf/w3IZKdPv763t5fJbGaz2T2eetTY2CiXy9va2uVyucQcyOfz2Ww2k9nc2dlpbGzc3s42NcJrr53ay+1tbW9ns1mAMh12Y2NDZmt74/nmmS5C/d3uJE3/e/TXp06e/KH2+y0tLdvZ7Pb2dn4vH//dN68rifYTJxobGzOZzBOabm5qJAjl5vPN5JPft5/o2N7aam1pamxsZDW2hsbGhmw2d1qpbG1rQzrK1tZWLrfX0NDQ1CRra21rbWtrbm6u8DrPNzbS6T80NgAA7OVBoXjtREdHkdqxt7e3tbW1tZXZ3d3llMWGhgaZTNba0tra1iambGEwmDqAdQ6MgFwut5XJZLYyANDe1t7a1rY/LSGXyz169M0PezRcEx/5+sHp0693nDx5mOKK8/RpOvP82Q+0PRKv/yrytUrV+bpSKeXif4t83XHy1MazZ3+kO8f9GP/tQ/V3u/kP7DilUChe297aSqXoH2p7mpqq9HbU1w/2oLEBoONEa2tLSx4Kuk4DNGxtb29t775OEEVqx+7uLiqyxsbGtrb21tZWVGRbW1tP6OTJjvbmpqbd3G4ySb+lPy/l7QCAfvKEeP11dLy1td3a2lJ6zf97958Vitdyub3nm8//7E/6hC9yn3zzXOktuVwu8vWv2k+0ZzY3T3a0d5w4ceJE++5uLrOVefbs+U5u79TJU7m9HLKXnDjRwX/TbDabfJx486yW++WryIOuM2daW1v5SSC95NTJE7LGRi4DG6AhD/mnz563tZ84dUqBrSMYzHGBdQ5MgWw2m0ql8rmdU6c62lpbv0kkFYrT+9MStra2ntCP3zzbmBl6JwMWhe99GcCvfh1Xqc4cuthl+eabbzTdqpagLTW2LPvZLxXXe+AzS2psufRK5izDFxvq6+B+0PFTAFjPDL2T+ZJ/7fm2wKdtWgCA2/94V9195jv/+fIGxbwdAGQ/OLsBC8qP3kZXf33/308qXtvYeP69736npYXpPouuQb9kzjEyfH3/QUdHR/cb3yn7Ur99+Lt8g+z06YJitL29/eTJk0bIKRSnmpubE4/p06dfbz9xIp/PP36cUJw8QbzO06I+s6TGoCM+I1t4N/3hvXIpXO2Iz8gBIPpx2uCTsy+bW3g3/fMhhRM2eD8idnZ2kHEi+8FZflYwv3xSnHX//K9rp197rawu+PB33/z24Tddna+/rlRmMpmnzzME0clZPp5vbGw8S/9AG91QX8++t6D86O1kks7m8grFa/yHPHr0SP1GV0tLGSUJAL6+H+06c6aCNQWDwRwpeK4shiGfzz99mj7V0dbVqUa/nDp16ivq39va22Uy2e7ubjab3cvlGmWylpYWmUyWy+WQc72xsbGpuRkAdrLZnd2dhoaG5qbmXC63m8vxg5S/+eZRZjPzfGOjUSZD8RBFvnkAQBEPu7ldWaOMC5vY37tsb221tLTktP9JGf/vN9TvpO4vKP8cCn0qS/aDsxneMdNHjp1NwdWO+Eyb70Ebd2n047ShsDNObnen+42vtz4B2c8uywCQspKFqx3uX6TUTtS/vnnuh/9491/kzc0tLd8TajzXU58A2w1/kf0EZG6mD37z3Fko7q0BAOTuBx0/he92vxG5H5U3y3d2dwCgsbHxD39Iv3GGeE2hQJe1tbZGf/OwpbUVxbL84Pvq3MK76Q+hTagoyK5/qrwOSKnK/dUD+d8XlB4G7fsK94OU4WzO/aDjp19kPrwn+9nfyLQgf2sm619v413J9d/yP78Kn/iy0ff5CcF7SLv6YkPtRD8oTp36gbZE/3tvQfnR291vfOc7Z1SoxE+dOvl8/ddPn6ZPn1bmcrntra1UKpXf2+Hnye//kD5x8hT/l3w+v7O93dLSIpaBOzvb6fQf2lrb8vl8bi8HbKBJQ0MD8mTJmprkcvne3l52e3s3t9vQ0NDcLJfL5U1NTblcDn0CKKG9/J6sUdbS2np0ITgYzMsH/lowDJnNzSc0/X3F3fRPZoAd+u9kt5LJZMeJE882NiCfy+f3IA970PiaQrG1vbWT3c7n9xoaGp5vbgHAibbWpqamhoaGjWdPM5mtvdwuQGFAub29vbuz/TT9e2hogAaZXN68tZmRyRoAIJfLnzjZkc/nN549a26Stcjlz7PPd3ZzzXL56dNK/pgVRRHmcjl+XCdCJpNxYao7OzvQkAcAmbYHoKcj/gAA4LNfVM8F1Ed+ZkmNQVm7SMZgkcVn5ACG/ovwmSULVzuu9zA93HsLyj//RWpsGd6zcGrNed25X/+G3U3tLYvC936OsXMA0w1HozmA3NjZFIBQJTpfpCgAwIN//1XqyZOmRpA3N0MDbG5vb2c2X3vyD+nzTJG1tLRsZ54/eULn8/mTJ04AfJH58B68t9CmRSoRAMCGelnuXoAx5k8YO5sFAHgn9SGnIgAAwE9nlG5I/e3H2V/5sgDw4TupDwEA4Ev2oHBx4eEZw9nMewsdcH0DFjrKZfDZH/4AZZecMSYBRD9O/x1ztvHX/1fawLyLtuf7//Kvoecbz/N7e62tzW0tzT09PwT4hv+0Ii8JUgW4vC/NQJmscWtzI/N8Iw/51pZWgPzubg4AdnZ2mpqaWlrkW9vZzc2t5uamttYWubx5d3f32dM0QGP7ifbt7Szkc5DP7+Z283loa23Z28s/ffZUqXxdzKyCwWCKqEXniHjMa3qXSQ8Rj9mvZDZuBQAAyuO422cd1QHlcdxU4y3KXjx2d3d///vUT3r1sH6X//uP3zr/+HHyt7/7nbZHzQ2mAeDuv4S6COXZH4hGS2xuZtZ//Wv+L9///ve440ePErHfPrzwJz/hfvnH//ZPp06eJN88yw/xS9L040Sis6sL+ex3d3efPk1nnj/fy++V0TmamuTN8tdOK9GkiRa5nN8XwnvIzoHMFTM5AACQux8UB2R+giwQAHAVfjqjjM8UTjHuBk4nWM/87TK8tyBbeDf9yVXksEiN3UOemuwHZ9OUReF7/+TJk+rvdgN8sTG2DABpNXogm4rBInND7j1GBZEFZsoGiOZyOQCgnzzJ7eb+w5/9SbHtJyoost4f62Px38biv/vvLvxxbmEiC+fb/vJtAOiIP8h+cHbjE6TWfLEB59sCfwPjBTtHB/x1+j77akPvZMgF5UczSu3HacM9pC3JYD0z9E72L4QWEQCAtxmtjiX7QWl+nmctRl9kPwF4y9L2UwCAjY2Nvc7/UfFRef/dH/+kNxb/bfcb3zlI4OduLtcAkMvl5HK5jnxTyi35fJ6vzWxvb//bV1Qn8bparSm6MpX6/bONZ1jnwGAkUoPhmqbTRQcsiUd00QHmBWNnZ6ehIb/zv5xLGWZyALkP30mpz6YX1gGgq6sznf7DyY5/2lCfTQ19jHrr5xvP3vjOVmbobEptyQLAZ5aU+iz7z5IFaG9v+6MfFe2G/sWG+mzqgy8A4MwZlazxUeF2gP/wZ3/6Rz8iZf/wvxWeM/SxkiDeONP55MkTZPfObG7mcztvnvuB7s2zPyLPFf1784fajvbWZ8+eAppdsruL+kJlwCIDkJ3jd5NXO+K/bHurXEa8t6CMP1DGHyjjM3JYzwydLcjDaioMn/0XFOohu/6pMnA2oz6b/hDaAg8U13tyC+9ufHK+zclENvzmN3GAtzvcV+EtiyL+oOM9lMqCHM63BWbg75dl53qQtUMM+skTmn7S0NBAyv/vZ997k5/P2Q/OlhaZRv3dJlljU1M8+/N78N44O9Zfz1EAsJxZWAcAgHsZwzuZLyE7dnbjE8h9+A4/wkPufNAB11NDH2f+bgbeOg9fzqTVZ1PqdzJfMgml1O9mogUJsx8UMirNPB/kHz1gM/OBMs6aHNCbfvmAUfvk8q+/frDyi89A/F3g4/+B93BeqtJ4Qj958iT18HffsHJasqi6Dn2cK/cLRD9+qjnHpbjxGbS0tPyk78dq9XdLL1YqT2cyW7WKhMG8stTmW9Gqu5gjopsQnFFo2L/xtqgvIg0NDQAN8o8eKP/yY864zZ1taW395pG26z3Isg77P+77sfy3n6S/BNnP/pMcIPv30BFHNoMvNtTXN4bO8mMJy7JXsk4G8mXIefGb6SFQ+N6Hx8mtra329vbMVoZI/9f0xf9c2j2juzo7CerBulIJzc3N2ewuOpX9u5ncWxbF9R74TEJG8MflgU8F8RwC1jN/y7ldvthg1JF7GQOKDhFY9aPrv/7xj/UAAF/OFNk55NEvcp+clwcEZoP19V93gwBVVxeT0E9mcqxHI7fwcQ716+WK7Ic/1MJn/3vmy/NtzrcB4B9WA/9R8yD7JQBA7sO/zhg/LbJMCOn5Z/qf/uyjB0oAgPflC++mobKdA+QfPVB+VPgz+wE/J9lrUMlqL8vfmsl8ubyhvt8W+LRNK//TP/nJ02fPQORdcgvvpj+8x8b5rmeG3slAbahUXcIfljf+1qKIP0D1Myf8JbfwburDe7Kf/VJ5vYdJfexsWpC3wttzFXRFDAZTjDSdI+Ixe5FP2m32o598ZpvPMGy9sOaYpQAAwOlYQme8jgBoJu0m8tCFxRwZzc3NjbKmp0+fnRL+ns/nf/2beFdXV/rps+/+pUX2CRNCeOrUqZzXl4PzbcYeAJB/xPkg3pa/B9lPHuQAKugc5VrqLzbGluG9BcbHDz1tf3U1M+bLRt9vb2vd2sq0t7cDQE79P52O/88VXoRb8qupqWlvb6/xi/9145PzbYEqClAB1KOjcFG/JfVhyTwX1suQA0vbezMZAM6zgHpHeMui8F3ODp1Ns33zhT/94+j6uhYAhWtAIZ7jOvwqmntvvEML8NmDHJyTaWE7m2Uzh9NggFFiIJoDgE9+kf3obTmA7Hr5l8rl9v79V79681wTcv20aeHJkydqtTrn/z9yAABX234G5abk8F4f4MSJE8BOsVGc42tLXDyHQK/ix2zKfvZLBaOCcDoKZIbeQW+1ualq9/0Sht7JfIle8Hxb4NNTWrG5UV9kPrwHb1k6mC6/p81pyRYZnEQpyUAte+wsyjrul6LkQHb9b9p+/k7mw/+Svc6Ls+HdTj9JtbeL6KUYDKYEaTqHzuSyJ1bn3DGjdVSXWJ1z3+ljgzZ0VldyZdqZumY3kcmVaef6xfEbeDf2Fw6ZTHb6tDJy/8GfCden+Me7//y9732/ra098ehR5o1LAQ4B+gAAIABJREFU8rdmMj//PHf9fRmsZ3+OghMBoDTc8n4uCiAM36sCMrmXDI5zUTjxk/bfP90AgMbGxtTvf3/69GtlHwAAGxvPoaEBAPL5vEzW2Nj4G2SNyBjOZt6yKP6Ku3B5Q70MAGWCJ3h2DgBggjrZKabyzyypv0Vn3+7wvZ39gO2G2RgRbtpt219dzYz9dcb4aZsWurvfAAD4VSHdgp3jB+8rjB+nh6Jtf3Ef3hqSAaTS6QYmXKM0BPL9jp/50h+ywnMxmEJu/eKX53+kg8/+T87I8ZvYb3/SdyozcU/+3tXsJyBD3aeoCQcA4PwftWWGzma+vNoRfxsWnNXiOYrtHBVob2///Ivf9H/6lVIe3FBfz8K9jOFs9mdlngnA1ArZX1yWAfzzv6zJ5fK39FoZY5yoSpkYUgAAOCfTAgCshf6/vt4fc788f/78RKKQHAD88vN/6NFotH9xPvMlvz4zt//Tv/yrQvGarKmZP3UZg8FURrpv5XGMRg6UxzFa6EChU1FCSaADUFyTpnBQHtZAAgCgGCloKuFFmy/AnSF6C8GqyZVpZ6jgziWHXCa9ZPkxVWhpaTl58hQ/NjOXy8mbW1pb25qbm0+eOvnNN5ta1vbQBp9nvwT5X70NABD9OD22DAWb/7vpD6snV8a3UrxUBsOzDWbySz6f73jyX9OGvxPzrXR0nAB2pe2GRtnu7neRcyT7wdkNrrJp31fE3+duzP497yEfPVB+BLmFd9P3x9G7yO6fZbUE4Hp61CH9P//43/4EneDpWzlucgcAAGT+7os2/jSQ+Ax8ZkmN3W8LfCr3v5u+P97xU4DPHuS+vJ+Be0COywB+903i1MniCR+ZDLNgeev1T5XXGYNKduzsRona8ezZs/ze3vc0u5m/ZIwcOzs7qd//AeBJDixtf/4g+wkAZ5IpA4owXWdWVYm/z3TwZewcwJ9lw3+g7GcW2YczhWV/uOvHLNn4jBzgB9qe4O07b7zRTcbud6y70oYZ5O4pox9ECwaznZ0duVywrkZ2J/vom0fPnj2Ty+UnT/7/7L1/TBvXtvi7ZsYee4zBYAwkoabBCdS0wAn3nZt7zklzidKQpuWpUomU94KUSIhInKiP6LVVnnkvEX/wTSQQyqleUJXD95WHXiIZKfqGSpVo05Lmwjft/d7be1q4gVNcaOwEQhKwYzAYjz32zLw/ZjweG9vYhJAm2R/xx+D5tfaaPXuvWWvtvbMSJXLSNA0APh+dK5uqhOM4l8stP2ze6XpVNuEsy3E4hguT48WFIMgcvYEkSTSxKQKROqnYHHNDF3uvCMmhMQGUZv010QiYtrSOCns6W9tTsQbM9S098fdUHG+rOB53T96hM22HUhAYsU5iRh4SBKHTZbgfu3L0uRSlWVhww4G3SeinP71JQAdbaRE6PHZwgA0PjgAAdnI87CSIh83Own6O47Zu9bNy377JRAAwohMlCqfTpVJrAIDjOMrcmDXzv69ZBBzHszIz/3Ps7/9T1e+EgRJk7wkCLMmLL1gbulLR2yGOahFHwIJ25m3G2CQcOTc3z0nGmXx4i+QRAcH5IcZBokbQCH4XAIAm99U67UyH9kiJ96powJFKxWpr7MHDhxhgJpPk8P9cv8Pibuhn7zjgQJSJlpmZ+d7//C7csEhOjvuzD/Ly8u0OjWlgP9ywRK4gFkU+B5pEsTyRhWj6XN9002vsIuK7DcIc6dZfKKZrDzLwllaw6sIGVsxZ27e/un37q3fu2H/5ZfK11xqpIx0xc2lEMJUQAOykA6B465YCrTYD7P8mWZyGXH1mZmaGRuNeWJh3zhvy8uNODP/g4UMcx3mOl9scPM8T0dPCYgALOfkqAGbSAVBM4PiWgjydbon5YhygjlhVcJVKJV9xBoFApEIq41YK9p1q6WneZYKi022yjbZ6c96hM20tHTU6MNf2yDaQ++E5hSAIPxMCsZUHACjZscOQm+31LpMkqVJRC4v/QB4BsH3N2CIuaGJHKcA4M+gAALB/RifqP2A/eQTg9gBjB6VSWfhlX/QMuPups+Vwu8MbHvUAcNP78U0AWF7xkaQKAFQq1Yp3JYn83pUVpexTWOgPmI+bGCgP9xn9XqNsKIoxduYokSPd+pn4kQsBhmEIIurdYT6ODOoBcNC1FsZ0QheZbGO/OFJGGrpSadGJo2OiKCszm1bN0bnDZDKZisH+maQc9s4kABCyscrSIwsP4hWHq3h99JYtW3x0YFUOzU2vscQbzqtlPhaHFEm73FF/YhAk+seooSurCItht0ijkwAA7J95jBYGYMcOk9n8Gob9C3MVoLKWlHXqkbKYTlBHAK42eW/A9u2vGgzLdHMkmWNLwd/5137nNlq0OTl5uTle73JcOXaYTMXbt6/Wagw4gbsXyqmz5XC1SRgyU/7G60bb5/RtIHvjj2FGIBDpknJsxeW2x2xIe2Y8MRuI5xS1WuXJqMs7+43nXJP7qhjpyMnOfjTvFpZOdTpdOR9YiOoOBuq0A8UAcHtsvPTNNu2Rfq8QVqi0UEcgkdlBXugmrzYJX/nE2W6qskmexkg0fa6D9z2y8ATZOwUApFIpTPWo0WS43W7H3Wn5UhpyAkwoR58LACzLLi153ih7DW5YvFeBqAQhaSBqvo0kXBWLL8t4ELIoyoWOnAfAcekrWcjHLKeGTxB2CwDAjW8Z6GeN/TEpF2TXFGW3uI0lAABHTOLAh+73vVeBqCyXYiXhT2d5CiTAkW79B1Gxm8jFTUKeR/iR7fir5ORwulwUpdFkZOSwobHxn3dFZLnpNTYxlRbdAaABABzEOxaiockjzkYaO9+GMJHoGn6OcCoM8V5YJ2DRXdjP2ot1Zz/yGEtk2pDyWsJFu7AfAGiapmLK0lRMXpjSQolXnDMNyN5usiHiMeIBAO4DgF6f83hxGgCwyMJ1qxQom28eAPBYr57i4aMZ04n/pt/xf7kbJD2XU8NTcUuNYRhyciAQ6ZLyeivSPGDxJgQT5gFDE4I97/j9/vlHj8rMO2Ma08k797Zt2xYMBh/Mzr4evfeH//gpM1NbZo6zoFcMv0xOFRTkyycWk3N/dnbb1q2rZzpnWfZXx8zW8K5gMBjw+4PR68sLKBVKlVotrG8eCAQWF1w7inlZzmOCkRoA4bwEefgjeop0ecQEAAB+nvglGAyW/X/ve8FC2Tro23XamT+zwvXFdEshxaE0fFb47lLPJ8QdzpbS58LRh+glTlLER9N///vEP0ZmV5Om89oPAD/bJg2GfE1GBk3Tj13z5un/RygIRNZGkcVWZMVcWFh0ulyCXRUMMmXmWbnNMTHxi5IkAQDDsKUlT9Wu34WTYIrp2oPMexbiXAcT08fbP/NUT1Gr/DoS/kDgbz+OFG7bWiybOy4VOI4T5oBfWPIaDHkPHszuLH41xgu1Gpr2/zgy+uaf/iD9Mvvg4cLisopU7NxRvNqYcLsXMjI0UspIKBRyTM9u3botLVERCARa4w0RQZh9fGHh8avGQnG0JMPcnb6fmanLzMoCAI9nMUCvFBlfEZafmLk/C7iC4zg2yBQZC2OS+GiaVqlUwufg0vLy9MyDUIjNN+RsCa+pIfH4sfve/Qc4jm3bkp+r1wtJeRzHPXj4aNnr0+tzM7Rx59FOSDAYdM7PmbYb17cWBs/zC4uLHMsZDLmr9zruTgdZPhRkXjeXJLpCiGV//tlWWfEGADAMs+YC9D6fT6FQCIdxHLe87NXpspKfwvP87IOHS0srhFLJhhjT9iK1Wi2f44T2++/emy185RVhaZv5uUfyRVmT4Ha7Z2bncvQ5woNYXvYqcNgZjuPMzc+7Hnuyc7IBAMOwBfdC4baEpuS96Zn7Dx7lG/QlO3cIvzAM8+Dho1cKt0mPhgkGZ2cfBgLBTF3WyopPpcSNrxQKNeSxe8HhuGsq3p6Tkx1jBzidrkfz86+bXyMIwufzTc88yM3LpyjK41lk/LTxlW1JHj3DMNMzs/5AMCc7c+vWLTiGeb0rDx7NZ2fnMEFmcWGhIN+gz8kWih8IBO7PPlj0eCk1ucO0XaVSBYPB6fsPNBqt8FIgEIjUQTYHIgqO4/w07VlaCgUZDMNwQpGVmSks8wYALMv6VlaWvV6WZXEc12ozMjK0GIb5VlaWlpc5NsTzPMdxOE6EB3wCz3EYjqtUZGZmFo7jKyveFe8KhkEoxGIYhuM4huMUpc7I0PI87/Ot+FZ8GAYcy2EEkZGh0WgyBMMlrVLwPO9bWXG5nIbcnKxM7R37XSbIqtQkgWEKBYHjuGAJ4Tgu+EtCIdbjWdLrs0OhUIAJAWDCd3woGAwGmQwNlWfIVSiIRc+S07WQl5+n0WT4fCu0byVTm8FxnM/n8674lArF1i0FoVCI9vuXln1KkgSeIwjcs7SsJpWvFhlpP+3xLNP+AMtyOIFlaTMyMjKUSsXS0rLr8SKOY4VbC5RKpWN6RkWqMRznZcmkGIbxYXAcAwAMJzIyNBkZWoVC4afpx253iPELVo6A3XFPrcnIytIJCvF4FgN+Wpel5Th+3ukkcALDca93ZeuWfLWKXPHRDx/N5xlyOY7jAM/NjawhEgwG3Y8fq0hCQ1EBhln2+vS5BmkFeZ/Pt+h+nJOdpVQqaZpeWvYqSUV+Xp532ft4YTFDm5mRofX5VrzLS0WvFNI0/XDOSWkyOI5jQyEcA47nCYVSq83QaDKUSmUoFFpZ8S4vezHgeR5IFalSqRiG8dN+HMfYEAvhOkOSShzHAwEGeA4nFDqdjqIoDMNYll1Z8Xq9K2woJHeGCQoEAAzHFQpFplarUCr9ftrrXeF5XqUitdpMiqIAwO/3r6x4aR8NwAMPGEFkZWWqVOogwyx7vaFQiCCITK1Wk5GBRqwgEOmCbA5EHATTAQCE7nljTxGOFLr8Dbl1orsEAgGfb4VlWQ2lUanVHMeFgsEQG+I4Tui8hSMxDFMQCoIghPsqlEppPVthSTm/nxZGq6rV6owMrbCSKsuyfpr2B/w8zyuVSmEp3QAT4DhOpVJRlEahUIRCIcHzH2QYH+0TrqBWU8I6vX4/HQgEAED4keM4n28FAJKbWRzHiSugEoT8GJZlXS6nmlQYDLkYYB6PZ2FpJT8/X/rcFwSm/TSGYaSSJAgCw3Ge5xkmEAwGSZJUKkngecAwYd1g+U0ZhqFpH8MwCoWCojRy8Xie9/v9Pt+K0BkLagyFQkqlkqI0wsgOwZD10T6CIDIytCRJCk9ZGAC8uhqsriHCwavrjPAcn0ZqxUbVQwQCIQfZHAjEC0IwGFxZ8fp8NM/zFKXWajPXjOkgEAjEZoJsDgQCgUAgEJtBGuvKIhAIBAKBQKwbZHMgEAgEAoHYDJDNgUAgEAgEYjNANgcCgUAgEIjNANkcCAQCgUAgNgNkcyAQCAQCgdgMkM2BQCAQCARiM/iN2hyuW5caW9vP35rboOuNXW5tb2y12uLunLA2traLf9axDbrjenDdutR48brrGUqwYYxdbm1PUJa5oYuXhpxxz0q8y3n9fALN2Kztja2JLvhcIlT+yxPx9iXWA0xYE9TeJM/iN00yPSQs7HNbH5zXz6ff/vy2C7uuircuPSCeI9JZAWvC2jhS0VNfAfGWlv2hquV4GaSxtKzz+vmuUXv4P1PNM1qQ1nn9fN909dGW42XP4Oa/fVy3LlkGPcJ2OlrKLzKs+s15/XwfNJ06tMUAj0BWnZLuct261A11Z/YWGmEWZDVNwmDUQXxbMgHyimeuFQVYiyR6sFnbO0UBdMeaT+7Lk583drl1YBiKTrfVm1MW0GDQAXhWC5BID+K2QW8CAJgbutgPR+VixHsWSVnfQ98cPaxV2E2qD4kKK/tdkGaXvJ1MRl6hESLtYYqkXVjxQaQpW7hKpNlKp13xANapB0HtqBl/LkjD5nC5PLINvWzP3COXbMOYwrUmrI1909VHW84kqCKGvSd79qYu2ppUHG+rOB5vh8vmsBt2NaGaGg/XrUuWQTjW3LIvT3hk7ZDWW20ojGpz8g4dNrRbWt3VZh0MtjfadMeaK9bcZdj7prG1t3GmqNoAX7a2Dxt2dcQRQLclb/WP8XBeP981CjUNPXsLhPa30QprdjNJ9GCztnfaxK7UdeuSpesShHsgYdexGh0MpiZbdIli2uskejDX7LrW1X7eXGQE9/nWabu5tme1NmKexboKm4RN00NKhX3K9SFJYQHSMFxWYzLmp39SyoUVDA5RvLmhi72Wi7C22SGqaFc1jM6kL1zqFU9OGnoQupKaXSbbaPr3QTwD0outRKpCbE2KNA1Gw9qGsG1kGgy73kU9/W+asS8HPaaaOrExLas/bYbhwSdy0ZvrW3raKsA2PWNs6GmL+jxNvKvieFtLTxUM2zxFzS09KX+ZxcU2OGo37GoSv9Uqjh8tAtt3a7mmE+vBef2aDaqPit/uhr11xwyeK4NjAAAT1k6o7WmrL38CaaNJrIe8Q2faWpqMnmEbHG5rWXeHBwDrfOibqYeNLOy66kOSwv62cd36bhiKTosaK9h3dJfJNfpl3NBVhLmhPsee5pYzews3QcL0GbvcB6fbWo6n7j1DPGtS83NMWBv7pgEAoLdR/FgZaGwdqD7asnsk7Evsar8i7OlrX9OJajDqwDb65cShON9PkXut9pXNDV3svRLV/hWdbqs3T1gb++B0s/5a2EcqO1F2SpQvUeZjhFFLq2Ajr/YJp4fcKR11O1mhIEY50TEmkPWo8qvFeDWjXLgxPlLhguk4TuPjnJ0B3R5z+KYT1k4bALhdUTImomDfqZZ9q361Wds7bTqTocg409vYutopHXfX2OXWgWGDzmTWTXe1N64qVzousblHLjBVVUXqQN80AEy7AJI89CR6cLntUHQ4XEVdt/qvuABg1gUVhrL6nnWb1GX1PW2rf02sB/GJ66rNcK213R77nR3/WcRnfQ99M/WwRmGffn1IUtgUbxufiuNtadtPafmDXTMeML8ZbnnmhvpG7QDgmgNI8pVYsO/UyXSlkp2bcsWLkJYe1qM0xLMlNZujrL6nbW7oYu90Tcvxsrmhi73fV4W7wLKWHuf1813uw231Zuf1812OPSl024a9J0/PtHf2tQ+vzuQQG5qxy60DMWfZrL1XYFdH2yGD2B/rZJ33dGcXnG5rEb2dfdbd4i6x3rtuXbKMyC8mRltcty5ZRoqftHsWxWvvtOlEp7ScCWtjn0f63WZt72y1ipI7r5/vGjWGY0xyIcMFPGkGQRu950FUlOvWpU6XqIeniMttB91hmXv89NGizj7PIyeY12eWOa9fc+3qaDvksl56VNPSU2VtHBzbF87nSLTLdeu7mZqGnr3zly/OvttWv9vaHt9UTYn5aVfYDydG92qr+wZmkje7ifVgcHnAUGwAEE1b2HW6xtE5mKJZlh5J9GAbHDUebTljuH5+sPBM21tDF/uHnBXrNJ3X9dBdm6iHjSzsuurD2oW1DTSKbdeTfsNsKIKBlQ8ghUtqj40MXJmZT2pzIBAbTOr5HPPTLiGAIntRBVxuu0FvgKgGa03M9S09Qrs22Ns4mEr6T9RHicFcbBp0yJpC3bHmsLfToEu5UBuH6HFd3cTMDQ1Og7lW+t1cX1vdOvDDBJjLwDY4ajfXxktqGfty0FN99GTYoqp4t+Y7y8iIa2/YznA5xp0QvznLO3Sm7dCGlAlAFvCuL4AJ6xNdKu/QmVMAMDcuuJ3kX8CJdxn2njwDAM4RIZZsrm95Yjeq2FV0tNUbYOxyiicl0UM4OamnDFy3Lj2pdAlIogdxe8Jth8In+zANs76Hvil62PjCrq8+JCis0KwJ2KztnTGpHr8BwskoLWaYGxpZ+3gEYmNJxeaQhSdiAiiRcMZ0ODwBna3tqWdRRSyPiGciEQVbDGAP97sumyN1+2aziM13k1idEjXjmgOAyJdHPIb72ofl/4cvbth7sgMuWcRn8dS+pQx6E4xK3qMwqSesJSJJP5F4l2iUPCH5RQa40tcrdBUSa2QgJdaDwaUD16hlUOiuIsc/Rf9TEj08SRRDYl0P3WDYdD1sSGHXVR9SL6zwdfG9bW5f3m/BkVCwxQD2wd5rgikZZl1ZqwjE+knF5ijYd6plX1QAxX04bB+caTvkunXJMvNmT32FtJGuEOaqIrCl5rR3SbkX6Y27+60htGtbDGBP7NtM4vuR4rhx0uY3irxCI4xCzVuSkm0j02CufX51LjS7ALLk5YmxYSg6nbz3SqIHg94E08YaKcg1Nz7ikeUHPIes76E/r3pYV31IvbDO2ZnUcuo3B4NRBzbdYSmQ7Rz53iXL3UEgNoWUx6243PaYDWnPjCdmI03mhganwVBcnrzXdF6/ZtMda27paRP+nrbBMTd0sT2NecnyqvYYPFe6Vk87VlBepbMP9kvJ8DbrwHB4zI7BqAPbmHBKVP4pVOw2w3BfgknMZBjMxaaYn4RJdTZgDqiKd2tkkk9YO226YzXPd8aWuWaXyTXaLT7Tsct90yZZ/5rgoSfWQ96hw7LH5LrVf8VVdPiZTDOzYaz50OOp6LnVw3rqQ6qFnRvqG7VvwOi8NBuixBj2vlkN053idFtzQ32jdvOb8m8VYRK253H6OMRzRDpzgkn+w1WORMlBl5qnbtXwE1ksJmpEhhBcEPbmHWqqkQIKImtngUSNChF8JE8pGFGw71TLFmt7Z2u7+EN4ZEF0KCRqmImYSyucYq7tOToWHhYE5vqW0/KryZJtY+Ydqj66Kmt1g9ikIM5mknfoTDOc7xKHX6U4x1ESPUQ/JpnvLarieYQDnos5i9b30J9XPayrPiQsbHTLZhKn/fjtUHG8DaA1nOKaWgQ8qrUZ7G0cTG8ysadMlMLt8v4C8VsFW/Yxz1qG1BBHf0RawFVDVxAIBAKBQPx2+Y2ut5ICc+Mjnqebp4ZAIBAIBGLjeH78HKvXMkA+NAQCgUAgnh+eJ5sDgUAgEAjE88vzG1tBIBAIBALxPIFsDgQCgUAgEJsBsjkQCAQCgUBsBsjmQCAQCAQCsRkgmwOBQCAQCMRmgGwOBAKBQCAQmwGyORAIBAKBQGwGyOZAIBAIBAKxGSCbA4FAIBAIxGaQjs0xYW0U1kGesMasd2yztl+eEDeefM1lBAKBQCAQLx5prGXvcnlkG3rZnrlHLtmGccOEQyAQLzY8zweDwSDD8DyvJEmFQsGyLBMIcDxHkiocxwN+P8dzajVFkiSGYTGncxwXDAZDwSCGYQqlUqlUrj6G53mGYfx+mmVZtZpSqVSrjxHAMEzaJRdMoVSSJInjOMuytM8XYAKkkqQ0GoUi1faT53m/3+/30ziOJyoLAIRCIZ9vJRAIqFVqNUWxLBtkGB54klQRBBHw+wNMQKlUUpRGqVRKZ7EsyzAMGwrhOE6qVAqFQigyTft4nlerKbVaLd2O4zg/TfsDfoIg1GpKoVDElUSuCuEshmFCwSCO40qSVCqVgn5o2idolaKoRFpFIOSkYXMAgMmYL24ZCqMXdNUVhf83GgqeXCwEAvHCw/P8itfr8SwqCJzn+WCIDYVYDICiSBWpmnXOh0Kh7KwsXVbmg/v39YZcrTaTIAjpdI7jlpY8Pq8XwwAw4DjIzs7RZGTEdH40TS8uuEklkZ2tu3vvPkEQOB7Hv4tjOK5QaDQUjuOBQMDvD3BsSK0iMQz8gSDPg0KpZAIBpQJ/teiVmfsPlpeXcw0GlUqVSjG9y8uLi+68XP2Kzze3sJitz9FqM2PECAaDjx8/xoErLNzquHtv9gGtVpGUWk2SyocuZyAQzNRqtm4tcLsXPZ6lvLw8DMN8vhW/P+CnaVJJCJrx0QGVWs3zPBPw5+bo1CrVo7mHOTn6zMwsHMc5jvN4FmnfSq4+Z2lpyTk/n8jmwHFCSSo1Gg3LssItlEpCQRAAQPsDSlIFAEzAn5WZka3T3X/wSJednZWlkz+duIRCIYZhQqEggRMqtTp1ow3xwpDaGm8T1sa+6dU/Vx9t2T0SvdarSNHptnrzk0uHQCBeXILBoHN+rmTHdqnbm3e68vMMcQ+e+vWOWqPV6bKlrtrn83kW3SU7ioV/OY77ZcpesGUrSZLSWRzHPXr06JWt+RoNtaY8PM//PGHDMHzr1gINRcXYEwsLizk52dK/S8vLc86F/Pz8uB0tx3GBQEBwrjBMcHnJU/W7cknysb9PKEm1SkViGKZQKNRqSqlULi4uABd6tWhtR/HS0tLd6VmlQqnPyVKpVdk6nXzvosfDhtjc3IgrevJXe2amTpuZ6ff7H7vmzaU717wFANC0/z9vj73ySqFWmxFzi+VlbyAQMBhypV/u2O+qNRlZWbpEfiaa9tG0P+CncRzTajQsx2GEIidHv6aZgnjBSH1d2bmhi73TNS3Hy+aGLvZ+X9VwZm/Yn+G8fr7Lfbit3uy8fr7Lsaf55L68pyYvAoF4IeA4bnFxYXHB/cb3ZzznSrUzHSQAgIP5+KD3ajk1/DllArb7fc+5cbL3G+2BYgD4afS2SkXhBMHzPACsrHizs7Ql+L94qjuI3intAbhjdyx6vJRGAwA4jlOUWqFQLC643yh7je1+33OulDoL7GRCkYh3/kwdKAZwsDccLACAnW7ogLPd1A4AAMK0nzAB3LC4GyYF8f7jbz9lZmVn6bIyMrQxfad3eXlpaVGboRFK+krhNgBgPi7xXq0TSnr//ixO4AAY8PyS10eqVEuexV2VGXTtQdrcrb+wH8DB3virt6Gf6P2GMhWHbw3a4Q7SBFNTdwCDkp14KqL6dG7H9ExOTk4oxGnUym0D/1vKqoAUtcFv8Y3//Is+16DT6WJCOV7v8pLHoyIVOdm67OyI0TY5dSczKzszKyvlKoN4EUjdtTU/7RICKPPTrugAisttN+gNwgboDiODA4FAJIVlWY9ncWV5aUfxdvg+/Kvdwdgd8I6FhCmw32TsAFBKHqklwcHYgTQV/8OuysXFRZ3smxvDMLD/i/TvDlOxYI4AAM/DwsLCHcc7i8YQAAAgAElEQVQ9vV4H4GC+GIfKWpjsYK4CUVm+SqJx9jYQpX+mDgCAg25oYqCcqBxnAeBcF105zt4GsndKawLmq36otJAmAIB//P0/AMDUHQcGmLzv5DhuaWlpp2k7jt9j7QAArN0B8C19FeDI24TdwQJslY42FWd5vaO3/7779//Adh+hb9dpu4oZO8CnH9E2gMpy9pOPvOZa7QUT3dBPnP2GsN9kTftLSnYAAMDNVESlQJ+bq/eurPzww49/+mNBOqpIVRsEaHb/vsrv9zvu3c8v2CK5iBiGWV5aeq3EhGF32Rv/jf5qgLk6LhiIJTtN9nv3kc3xspGKzTE3dLH3ipAl2tV+Rfitr30Yik436691jdoBAKYtraPCns7WdjDX9tRXPA1xEQjEC0AgEGAC/jJzKQCw0q/2v9KfiJ/ezNV+AKFHnKRtAOZm8kIxAGS7f2L+Fn2tO1MAwN65GeuwNRXnmoofPHxo0OsBfmJvA3H2LWKyAyot2oETBADcsHg+AbKrgzIBwE2vsUmQhL1hZwGIs83UDuHLXtxg79xkDxSzNgAYoD+eAgCAEurCiZIdxZN37sXYHKFQEMdxtvsjz7nxKKmuNnmuRv1AnP1G11RckG8g/vtZz7lxorKUbj7Imrv1HzSzn34tiES8Y2JqmxgoJyc/8pwDang/ZVqPqK+9tlOttnlTVsU6bpGjy6Rpn8zmCKhIBfdf6+R6EDxC9+/PorTTl5BUbI6Cfada9kUFUNyHw+kaZ9oOuW5dssy82VNfIW08XZERCMRzTjDIKIhZuraGvi38MO419pO935Dmv4Z7u3H2djlhLgUAgBLyg/3Cr+xglzemFxc41+SN+eVIt/5C8c4dOyhKDTe+ZqCcqimG6GgCe3t1dMHB3hkAAPjia8Y8Gb1hZ2vszG3hxH4WACrrSAACgGVZ+SV4nuc4LvxfOXm2mdwRVw12uqFD2AoEAgSUkEfq2Kv9bKVFd2E/gIN4522heyZMxay5joRJ5uo4cbZb8LKsQ9TCbdvgxv+dsirWcwucIDgmJFcFAIj+qg/egk8PesMmF8txCkUk8wbxkpBybMXltsdsSHtmPDEbCAQCkQQMwwCM5IfdBADzSRNzu5zqbSZNAO+8LTobbP10Zams0xVPJJo+1zdFriMkfIi7zn6jayqOuRFFqQEc9Cf9AHXSRZiPS+hwz0dXl9AAxFlLOB2jmGxqZs41sRAL8eEJYvB9Fuq0Mx1E9/uec6XagQ4SwOl6TFHqJIUlavaHrYRYmLCbR5eVBW+8RX414IU67YdTXqOFGi6hGzqEvWTvFPVOCXu1nzjbTX7R5JkUEj7SFjVNVaxHG273gj43El9XKpQBP000dWjD5UW85KQzVElI2pBvhJHG0EYG0yIQCEQCSFLlWVwgDuwn4CbTAADjLOxnP32fDg+CY28DQD8TDrXAJ19TYq8Jfn8AgFer1QA36XPjUFlO3B6HynL23F+ZJukYPwDwPE9RFNz4a9ibEr77hW/IDwDsf/U0TFK9fyFNACYHfU7aX0z1drMAACX01XF4721yx9vwDhAmB/PJOBxpJuXxIADHvemCgi3LS0s88ACAAcYDL/N8jDOfWlb32QAAMBkJYXAs2/2R9+o4wLj3k3KAccb+DdUrmgaE6TNvdYeQTsFUlhM2Owv7ifRFTV8V6d3C7w/QfiYYCi4tid+fHMcFAsF70/cx4ItSGJKDeOFJ2eYoq+8pi94IY65vORO9gUAgEElQKpU84L/+eqf42y7h25dpsBC9zdQ7AHfszOQU+V4tgImIhCSKhY/vf//hRyYUAo7d++afmI+bGCinPqxlGsaJD5uJhia6+89kU/HioueHv/2UodUW5OXu3IHRn/Svun8xAQ42+l/ZXgf9SRcLACBlTQIAEB82w+1yqms/ALCT41BZSwDM3J9lAoFgwM/4aSGOgGEYz/OexUXpcqwt0fiQcTac3KBWq4maZu2OYsLkYKGY/fRb0vStt3oAjpTC1X6id0rba4ID++GGA0zfMva3wq6INEQNOznSUkV6t/jbyKhWq6VXvFJoiSBwAG6FDqyseEkVqQfEyw6akgWBQGw2LMtyoVDxzhlajIyUE5X99Fdv6y/sZ+98zdom2av9YvrkEYv2wgmhi3W7F3gMsrMyXy97DW5YvFeBOPsXyvQtAwCwnzpb7jl30LtjKvuArrLi9fsP5liWA9hJvlfOiI4TiZve6ibB1qEbDtJQp515O0q+2+NE7zeUyUFXN0HvX8QN2K8dBvpTC/1BBwEAZhMBwHHsH3b/fvXcVrJZRsqprs+p+LEVWeIqy7KDXd4varXvDdBQS9o66EGL/Ei6oQl6u6Hha7IX6E+APCDqJHVRQyHjelSRzi0KCvJ3mGLDWwAw8cuUilTFnYoN8bKBbA4EArHZ+P20Tqdl/4+TDNRRZyfpc6XUh7Us2L0ffw0AhLkUzKUEAPnOn8EEcOMme2A/AeB6/Bh4/o3Xzfjd/9fT0A+VFm1TMYTzy4imv1BfHKQb3qeHP99iKmBD7NjfJ14r3Uk0fa6F9z23Y2Uge6e0B4SMkDgSMg0HxeSD8AYJACZgr/azpSXEVSDOFgOAgiAUCgXzcSQqBFBKdnVkm2STaNkdCWIrEQq3Begvxon3/kLAAICJ/NDCmkzsZCkLAEfqCLAzUEcdAKYSWNPblDkqpy4VUTmO++5f/23fulSRujZUKnK1KigTmLa/OnJ7HCB39ZURLxvI5kAgEJsNx3EEPsvagDj7ZxI+ogHgwAnqhsUjhSFuj7NQTnxQTA5GpgUrLdkJAGD/zFPdwUKdOM4zQjE10M0am+hqCzHcUWjaplar/8e//fsf//BPaUq3XzszBbIpvIgbN1mTkAe6nzwC3nMdLAC5oxgAHj6aKywsJEpLZZKUREs1TjccpBPfTDj47j18+8AUBQDwufaGxdPQD1BOHhGG7QD71RRxBJiPvwYzsJ9+DaV/Dt8iVVHnnfMsy8WMr9lYbbjdbtpHx1XF3NxcwO/nOV5+3VAoFAyEtNrMuKvkIF5UkM2BQCA2G5VK7ZzP3tb1DWkqhm7xR9b0NvWh6Ngn4GtPQz9dXUJDuTQPKQCwNyzehn4W6qjhPwuTa4X9HA7WDgDF1HA3VDd5qyep4c9zTfrXFQnXYGAa3vdUAtweByiV/eygaw/KEi37vUYpB6KcGv6c+sBCXO1goY48AADwaG6eYRgyPC5Dwul05YnhlXIxNzMODrpajK04na7tr74K9pv0p1301XFhqi55Igh7exwAoLJcyMwAKE5P1Ee8mqKmfr1TkoYq0tMGQVPuhcWSVaoAgEXPUlamtqAgXz5uZecO099/trnm57N0Om1mZlwFIV48kM2BQCA2G5VKRarUbl2mXjbqgf20i7YJnWs5dVbs/Iizf5EMDgBgv5pkK+u0XR3waYl8ci1Wcv4f6dYPd3ubm+hPb5IX9ms0mnj3LyaO1IlTQ5hLiSjPRDHV9Q05+FfPuX7iSLf2A6CbmxiwaLveIoQhu9FTBZhfK/3hP37KzdVjGCZ8xWMAPIDLJdkcAMLM5XGIZGtqtRniuN/KOu1wM/tpF1vaTDUJg1McTPdH3turBwOnIeqWLQWTv96RzRqSiirSuwVFUcFQ8KeR/9RoNJJDg2PZYDC463fxJ21643Uzy7I/26aQzfHygGwOBOJlhyl9fdPuRU7+DAA4juv1uQ8fPPB6vYXSrgufE93ve24DcfYv1I6/0lBOnS1lzh30TFqoD04IrgLywufi2IcL3+g+AAAA+7fehg6i9xsxT9NUDADagSkACIXYv/048sc/7I4WYYq5YZJm/hAQZtsUMRXDjhKyspwJzxlK9p4IOypueqs7WCgnoN9bW6IbOLFzh0mtVq/QjLQKGoZhHMcFQ5HrsYM3mQRzgkkHvVZaips/19WIM5GwpV97zzV5vign36uFLzqY21HOngjpiPqnP/7TwwcP01NFmrfY88c/jP/8C5WhVavECUu8K14yxLA3PqO/mgIA1gYAwH5i8X4FACXkBydIE6EilXG1g3ghQTYHAoF4BpAkqdfr3Y+d4v/2m97mJuY2EGe7qR0O5qtJAICaDl1Nibe5w1s9JaxttrS0FGCYgD9AqrSKbIVenxO+nuhLcLsXAIDjOIVSMXP/Ab562dLb/XTD6iGjAOHUCvbGTebOFAtCLKOOhH6mocRdWafteptpbmKEmILd4mno8NSCbuDEK4XbJu/c02RkSEkJoVCIiIzRGGfONSWZC0u4KY7fE5ZSY+125qspEGYJvT3OCCEVGGc/+cj7VSlACfmOCQCIA/uJ9EU1Gl+JsifWUsU6tJFv0Id4LEMrBlg4jqN9LNwZYK5GZo9lb/eztwGgnPjgBAD46CTpLogXDWRzIBCIZ4NCqVQolQClRCWAaT/1oYU0nSBNDubjj2gbEEeaKRMAnNAOvMXcANIEIZb95VdHTk4OQRCML7DkcbrdCzvxyEJlI/85RpJqlVoFAAqFIi+vwO1+DADiLQAAyokjtdLgWxk3vbVd4uadLvockGctVJfwQd8B9pv0IJCmYtZcRwmLkpg6dMMlnk9NBIDHs0QQuDwLEsOw8LjQUqKyNLyOyWoiN11YyM74qslrKxfnXTWXkr3NpLB2q93B2h3MV1+zMMnaJmkbANRqD+xfh6iLi57MtFSR/i2WvSuZWZHFYxVKZYjjY2aPlcPzvBLNgP4ykfpa9ggE4sVEiq0IgY9Nu0UoFJqfe7TT9GqSmRvuTU8vLHheL3tNoVDccdzN0GZlZYlRDJ/P51l0l+wQIw4cx/16517+li3SbBk8zzud8/mGHG1GRsxlFz0ej2dJiINsf7UoIifDkCQpnf7w4SMMx0glmZsbmc5qenrm4aO5qqrfkUolAPxsmzLk5csTR3ien5+f25pv0Ggo6cdf79hxnAiLyu7cETFD5ubnHzx8VPW7yhghV3y+DI0GAJa93kzt6tTMqCMXFhYxDMvPMyiVYqgiFAr97cfRbdu2FBlfAYDHj92TU3f++Id/XH363XvTOI7zwKuU5JYtkTXD5drw+/1O12Mcx3P1erVaFS4I/+PIaE62TiiO1+u9/9C5RfYIOI5bXFxgAn6lgojJJsEwDMOwABPM0GbqdNmAeDlANgcC8bLzrGwOnud9KyuexUXAeOD5AMMQhIJhgkqlglQqWI4DHlOqSJIkA4EAz4M2I0OTkUEQUs/NLS15fF4vhgFgwHGQnZ0jj3EAgN/vX3C7eZ7lWFawMHCCCIVYhZJUqUgMw1iWpX00QWAYAGDYygqtVpMaSu2j/TyPkSoVQeDBYIjn2AAT0FBqngdCoSBJ1YrXq1Ipg0E2Q6vNzMyKMZuE+wLP8jzP8TzL8hnaiOShUMi3sqJQEBjwGE7wgOE4zrEhHINQiGU5DsMwnscw2TV5jhO0hGGYUqFggiHa79dn6ziO9QeChEKpUpE8zzMBBoBngkymVhsMhiiNhmEYNhQkSZJhQqSKZAIBAJ5jWRzHeZ7HcDwUZKkMjSAbwwQZv1+hJAAgGAoxgaBOpwWepwMMQURugQEfYJjMzAyGCVEaDcuyQSZAkmQwyOpzc9XqqNVnWJYNBALBILM6g5UgCKWSVKnQdGEvEcjmQCBedp6VzQEAPM+HQqFgMAg8jxMEQRCCHcCGQoBhCoUi+eQNHMcFg8FQMIhhmEKpjHswy7IMw/AcJ85NjuNKpVKhUEhHchzHMAzHsoIAoVCIDYUIhYIkSaEnFtaJZVk2FArhOE6SJIZhgtgEQSiVyrhdpnAAz3E4QZAkGXOMIJVwU+GCDMOwoRCGYRguCEIQsmQUQQCWZTmOA54nFAoAYEMhnueVJCkVXH6YUEye5xmG4ThOkIFlWUEqEGJABKFUKuU3EsXmeUFFQYbheV6hVApCxtxCeEDSLZRKpeRlQSDi8iLZHGOXWweGoeh0W33CIfkT1sY+SHbAWrhuXbIMCssX6Y41n9yXt8bxz5InLmw0c0MXe7+vajizt2DtYxHPFc/Q5pBw3bpkGSnuOHXIEHf3C4Pz+vmuUXGEqWFXiuW1Wds7w5N7Vh9tOV6W9Ogn5mV5FohnQTo5pBPWxpGKnvoKmLA2DurlNdJmbf+hquV4Gdis7deMKXRLE9bGvunIvym/e88cw96TPXuFhsOx9tEpMXa5dQCefjuCWBOZQZlqyy7vDCDW3hWMYACIV8NlfY+pJvLKRF3w2b0Xgirkgq3eC+banvrYeRcE+ROd+NIzdrlrFGoaetJRjuvWpU5b0k8pBOL5IQ2bw+XyyDbkCwTOPXLJNlJdr1h6i8Yutw5YrIWr2680qTjeVnH8yS6BeGlx3bpkGYRjzS378gSbuD0VQ9Bc39IT3rZZ2zsvXg9bCWOXWweGxV55buhir+UiSAaEdK8z0X4ym7W907Wroy1yhY14L9LEef181yjU7KqG0ZkEB3QPgskQMzkWAABMWDttOpPB85RFfG6ZGBuGotPpWWNz4yMeU00dMjgQLwbpZe6YjPnilqEw+vNLVxT+32hI9/umYrcZwDXrSvM0BGLjGPty0GOqqRODZWX1p80wPHg9rTpprioCl1s4xXXru2EoOi2aCwX7ju4yuUa/nAAAsc+OF5ibe+SSv1kVu59BPzM31OfY09xyZm9h4gNGoabucBz3y9jlvunqo3V7nqqACATieSY1P0ckFNLbOCj8NNDYOlB9tGX3SNgV3NV+RdjT175GUkUMzuvXbGCqqZIaMbmLO8ZJm8DzPDd0sfeKK+ZHCZmLGwCgSHYXnSRnTAhTLkNcH3J6yIO4kt9e/mNf+2onfAIZhFhMQ9FguMhR4sUv7CoZZA/Ief18l2NP88ktg6Ju5TqPkgEg/iwDschlSO1GSWWIeuiywtqs7Z1Q21MzGy5XdK0TyptieMI5OwO6PeZwTZuwdtoAwO0CSDm0MTc0OA3mWrE6zXjA/KZZ2tU3agcA1xxAgcvmsBuKm+JkAhXsqym60jdw/lb+mb0FrluXOm26Y82pVDxZ/ZerTkjoadZfCz/3FAJGBftOnUyy23Wr/4qr6PTeArDG7rJZB4YNuzrKYHwwBZEFot8Lua4TNwJRhQUA6bknrQ8J6iQkS7CIrvwptmlxn0XUj52t7cLGGo9DHoAeDDe8YQmTV/7E+R+p6QGinkXcF9B165Jl5s3TMNBpAzDXShub7ZZDPG+kZnOU1fe0zQ1d7J2uaTleFp1LWNbS47x+vst9uK3eHO45UsusnI777oVNgZPhsEvveRDv5bp1SeZ5llOw71TLPtFuiNk1drl1YEYKoE5YG/tSEG3C2g11PW1Sdyh2A6mUKh5jl7tGjUdbzsS0L3mHzrQdSpjPkVSG4b7e6qMtPaLhMnB5ouJ4WfLCjl3ug6a2FslEk0UBAMBzpavdVNPQU18AE9bGvv4h88l9eTHPYm7oYu/3qRRWJoPr1iVLq1XWtMW/UZJdq8MNjVaItGu2gUZb0em2FrNQKOvYOps8l9sOusN5AGILW3T6aFFnn+eRE8xrVeZIi2zY1SHefe6RC0xV+QBSqKL22MjAlZl5gALXjAcMhS5ru0Vsx2XJyGX1PW1jl1t7GwcBDHGr+mrmhi72XjHU9pyqCN8u8soATHd2wem2FrPwLPqsu58oLWDsy0FP9dGTZgBbzB7n9Ws23bHmQwaYS/VizuvnZe+F/OVN0gjYrL1XQNRMzGcDQKL6kLhORstgs7ZHQmATVpkMKZLwWQgNVHpp3WX1PW2QLHc7QeWPemWc1893tV8Wm5dU9SB/FsleQNvAtZqGnqpvG/sGOs21PUfHGvvGbFCBwkCIJKQeW5mfdgkBlPlpV3QAxeW2G/QGEBvuLakO5Sg63dbS01ZbHfWj0KhJ72TFuzU6+8hI5KvG5Rh3Quq4bn03bNjVlK65UFYfecPzqvZsRBbf8MjYBspgqmkQbZS8Qil/JmlhK45HLIyC8ipdzO7Ip2RZRTV4pl2w6lmkRIwMhr1vVsP0DxPJb5R4l/P6NRtU10iSVxw/WgS2MVmHJ32rFZRX6aIidHmHzrS19KSVg+m8fr61/ZqxoSedjtlc39LT1tLT1tJR5bC0XhqS1U+btb2xy324reXM3vyoc2wDP1SFz6qBK11WsUQT1kahV2hrOAajMVeLz8S3V1y6YzVhSyvvUFPUK6M71iyWxWCIfejpYrMODJtr432aiwGXtIZx2QZH7fGvlqQREIw50SdqMBebwPMoSkVx6kOSOhkjg7lmlymqhYmqumuzxrPYcOJVfsH4Oxqu9nmHDpvFxid1PURY4wUsOixeTQojIhBrkIqfQ+YYjAmgRNy205bWUWFPZ2t7Oh62indrvrMMXn+3LNI3DEuBBoHwDsPekx1wySLKkNJQVeGbMn2bISZCkWJMIREVx9sAWgcaWwcAUnc/pi1D8sJGj7CIjRnIjMiK423CV9rsDOjWY2+5RqXKICA3K+PcKJkMIE8VCiNzPwjGrrApDClaHwa9CUYll0CY1A1oQYC6YyO939vm9uUVbDGAfbD3muC2CRNJh5K174a9b1YPDvwwAeayuaHBacnw2neqAS72Xum7Xr622bRKTldaUaHUmLB22opOt8Wpuq5b/VdgV0eaqZERV1A8EjQCBVsMYB8Zce09ZABw2RySdyp8WJz64IKkddIWfjFFdGI+Sll9z1FrY1iMlEeobsqzEEhY+T1XpIZaQKrT8fWQ/FnEfwGfi2GGiN8gqdgcBftOteyLCqC4D4c/BM+0HRICez31FdJGWhIY9r5ZPfjduBMkAyLJ6x1pR25dsnRdgrXMDoNRByOzLqhI5w2ZG7oojTiAlGMKyZHG1KyKDmycDEkKGzPcLl4QahV5hUYYnXYBpDsHyVMf4ZmeKZASeYVGGIWatyIR8ZFIckbKRFyABqMObLrDUjfsHPneJeaLxD4m5+yMONgrxoNYUF6lgzUfU1xkvdFGYRuZBlkuAgAISV2mmvf2jHhiO7PB3sbB5P10wRYD2GfmAeJbKsnOjdwr5byxJHUyyTeAGN1IYxxTvFtv/LNYi8TfY/H1sMazWH39LXmro2sIREqkHFtxue0xG9KeGU/MRppU7DZ7rvQJYwQqdpthuM+6Zn02mItT8T0YDLpIOCZ6UhCDQQdhx2xMpqQc163+KxvpG109GCG/yLBG5CVFGZIUNgrn9e4EhU0s2OrEvQQymItNrtHuWykH9ZOTV7XHINUNEEZGmGSWQTKc18+3tjdeTHHsScW7NTr7YP9QWHudNpmTHABgbuhie2Nr+/nERbNZB4ahaHcZQNhx3WkNa69v1G5+U+gGDHvfrJbGsAhubcOud8tAVHhksMzYl4MpeOnKKmQ3Eh+uzBm+YUghJOHvtBnAXNvT1nJm7+v7Tsl3NRwzgKmmoadtjR7aYNRJXvroFzBxIyBmjUj3SsngSFInzVVFYBu4vGYApayieq1DwodtxrNIRuwrEyGJHhI+iyd5ARGIeKQzJ5hksK+y3CWnccR7nA7mml2mrtHuW1Vn9haY61tOW9vln1OStzkmOlB9tEW05aMyroVvoLClX1bfURMOxxh2dTTru7vc4oFl9afN7Z3SrqNui5hvLw4fkEIhp80D18Rzorpee1f7lVUja+IQmxC+q+OUvDMr2Hd01/dd4duJHyJJZEhM4sIKDvywVotOHy3qXHtwQcG+U7XT4ZBQ9dGW0yPta8uQd+hMM5zvksY3QRofo/FlaICLvdI39NObbGodkbtYU8xc2xMJPSQJqFUcb54939XeKN5Y+vSMU9gUJo+KvtETz1MZ9ZYNhrNZn4LjyrD35OmZ8JsuZCCG60zCRiDvUJNUw8OsXd4kdTI6gAIQKWzsiK2ahtgc8Dhs8LNYF7G1KCJGYj0kfhab9wIiXhJepLnPEQjEevgtzH2eEhPWxj6P3ByMM3QFgUD8hkGr+SEQiOeUufERz7NImEAgEOsE+TkQiJed58bPsXr4FZqECoF4rkA2BwLxsiMZBJvA0zNrEAjEbx8UW0EgEAgEArEZIJsDgUAgEAjEZoBiKwgEAoFAIDaDdObnQCAQCATiCeA4LhQKsSzL83ySwzAMIwhCqVRiGCb9GAwGadoXCASUSqVGk0GS5OoTeZ4PBoMBv5/206EQi+MYSZIUpVEqlRzHCTclCIIgCOmCwWCQJEm1mgKA1YJhGKZQKITjQ6GQcGWe59VqtVpNEQQR8Pu9K16O47UZGZqMDOFI4VK0z7fiW8EwTKvNVKvVwWDQ611mmCBFqbXaTIUipf5XKFGKGlMoFDgeCV+EQiHa5wswAYIgKEqjUqnk+nwmID8HAoFAIDYGjuP8fr/fT4dCIZ7nMQzDcVyhUKhUapVKxbLs4uICEwhw3No9KI4TlEaj02ULvXggEHjsdCoUeE6Ojqb9C4vL+QUFFEVJp/A8HwgElpY8K16vWk1mZ2Xl5updrscczztdj4NBlqJUHM9jgOE4Tmk0CoViadGjVit1uqzlJe+c63GmVsvzXIxYOIZxHM+yHEEQoVBQrSIL8vMAwLO05F70ELgCeNZUvF2rzbD9MoUryOzsbKFr93gWad/K1oI8rVZ7e3wiS6fzrazkGXLy8/LsjrvLXjo7J1urzVQqlYFAwO+ng8GgoDEMw5RKJUmqVCoVz/NLSx56ZYXjuVQ0RqpU2dk5SqUSABiGefzYhQOXrdOFWPbx40VDfr5Go1n/090IkM2BQCAQiI3Bu7y8vOzJytTiGMYDjwEWYkN+f8AfYBRKFQBoNaqtW1KdyfTXOw6WxzIyNDzPL7gXil99JTNTK+39cWTMkGcQPutxHOd5fnlpKd+gz83Vr3llx917MzOz/7z3T+sqZUKmp2eWV3wKhZJQKPy0r/z1yGR1w7e+3/W7Cl1WlvTLg4ePHrsXKY2GDQZ1WVqCIASNsRzr9wcCTBAwQqEgCAy2v2qMd7c4zM4+XFqhMzO1PM8veZYMuYD87nQAACAASURBVLqC/Mjk4D/8OJqfny/YcBiGkUpSpVZLjpnNAdkcCAQCgdgY7t+/v7PYGDdqsLjo+Wn09j+/+UfOUua9utaFjnTrL+wHgJ8nbBqNhud5NsTu3HnXa2xiwrvmnS6v1ysEC3AcX1hYNBhyXyncBjcs7oZJavgv0HyQ/XBKewAAHHTtQfo2AJRTw59TssW6mI9LvCBcUDomviRhbnqNXYT8IvbPPNUDpOyXUCj0tx9/+oeqKvg/Xw9fHAAgLFiUAD/8x4+vl5m12ozVOvB6V0b/c6z8jTLNf/l96hobG/9ZsDlCwVBJyT25xmja/+DhQ9FKw/AgyypJVXZ2zmaaHcjmQCAQCMTG4LDfqXjDzHa/7zk3Lv+dOPuNrql4ZuZ+QUF+bB7Gqj47GfG6bRk3vcYmBsqp4b+Q4KCrm8TuTeh0497ohsXdANqZDhIcdO1B5r1vdE3FkiHCdr/vmWzWX9gfvnIMddqZP7O1B2mw6AZOxPbbMaLesLgb+gU9MB+XeG3iKTMz943GVxJpzO1ewHAsJzv7KWlscupOZlZ2psz78rR5nnJIZasupbgEl8TY5daB4dQXG5MtyvosVml67hi73DqwzpW+EQmZG7rY+33VqiW1hCUDn/38mwnEe+lAlT8KjuPCmxGPAvNxiffcQQ98Y2wq9ng8JEnKvAuruGFxf1IS7sLj9vRAV5fQUT/UaWc6woZM+L72b9lVXo1oIhf3GvuJs91xUlIj7NfOTIXPivg52O73vbcBoMNj7IiSxP6Zp6Gf7J2SDvOcGyd7p7QHgO1+33u1nOp9S7juvekZo/GVRBrTNxU/fPQIovwxG6mx0pId9nv3f6s2x4S1caSip74CJqyNg3r5UpM2a/sPVS3Hy8Bmbb9mXLMZElbjjFgAgjGxZu9u2HuyZ6/Q5jriXnPDWsCy+p42EFuTJydmWfmns0rnC4x8hc9UTcDotXxjz5LtDa+TKVil0cRfYjRdezcBQq14lpVhUzrLmEWVn2iR4ZeR9VT+1csdR5mnsqou2yW/kWzx2GTvRYoEGEb1gYW42sFOOgCKp6bu/P73OURpHZxr8r4jBD7k3PQ29EOlJfyv1NOn/nE/TleX0FCn7QVW3AY4YqFsHUJsRTgoFAopFLKLAwA46C+APXfQfU74t8kthDOOiLujXBHVJTQAcaQOro6TZy3EjhOU6TNP9RQlmj4OurmD6J3SHrjpNXYRZ0vpc+MAwDSUuAFi4juP5uZiCuD3+9UyjTnnXVu30ClqLBj857Q0dvfejFKZ1NbaaNKwOVwuj2xDnqQz98gl20gp2UVnMkz/MAHmMgCYGx8B09NtdyuOt1Ucf6p3WAOpqR273DpgsRY+64/U5wbXrUuWQTjW3LIvT+in29fuJp3Xz3eNGo+2CIuPu25dsvRdKgobCtIFz0TZDTE1ZG7oYu8VQ6FQK0VjV5Kny7rliTtO28i0qWaXcdAx7oT0LJi8Q2faDj3ZzTcZyUqbG7rY23nxOrK5U2Q9lV+surU9pyoAhHdh4PytfNGGmLA29k1XH23pibnIhNUyqDvddtIsntJ72SDcKNl7kWopnM5C2b88wNQUV9LUoZ3s937yGXsgKiTBdncxUKcdOEEA2H6Z9K6smEtLSVJJkiTYp9ikN7p79x5FLWYACO4EANDPdAAA83EJXfoWdeEEZf/MUy1+RjJMUKFQMB+XhPMkyqnhv0A4ohEdW5Hd40i3/gIIfg7i0xK69M+6mQ7m4xLvF1Ms9LNHRE/J5Sv/enxgCgCYj5uYyjptTYe+qUOIrUClRTfwFlNb4nnvG11TMQBUVrwRU5D792d3ymbrVCgVI6PLVSlo7P792bvTMxXlr1NqdSoam3c6gyEuK1ub9KgNJr15SE3GcAZsbLXTFYX/NxpS8jTsqSoaHhkDAHCOfG8o3pOWHM8xFbvNAK5Z19pHIgBg7MtBj6mmTuyVy+pPm2F48Poa2nO57bIKaTAXR6x85/XuQVjbUTHx7RWX7lhNHLvQYC42geeRM51CxGHsB5tuj/nQbrPnyuDYE17r+aGgvEoHLjeq/KmxrsoP89MuWUOdV7Un0lKPXe6bju8sKavvkczovKo9BhAb5xgSvxdJKCxk6OYOFsqpD/YDAMMwwVAQAMgPLMTtAUbmBAP7Z95z42SvGCVhWY7j4N7Mg59tv/7Hjz+teaOfbZMsx4HgTjBaGPtnHuP7tN3B2gDAQdeWuKs7pD44GGQAgLwwpZ8R/lLLjbja5DY2MTBOV0vGilCQfuZ2nTYc+Phf/5cjAAA3LN6r5VRXBwmfeYwl7oZ+sndKP3ACuj+ibwN77qD3BgBAaUlJzE127sTlGvP5aNmNkmksGAySSnLm/iPbpP37f/33NUtzd3pWn5srDKzdNFLzc0SiA72Ng8JPA42tA9VHW3aPhJd57Gq/Iuzpa18rc2J+2gVF5orqwTEbVBhsDmNVHQyOzrjmAEA00kU3QCoRE5n3b1ASTxJA5maMdgm6bl2yjBR31LgtYtFS9ZnLV7ZMO9vDef2aDUw1Val8KES79KNUGrO6pijGhLWxzxMpxYS1sQ8iZ0V5uYuif3fsaT65ZVC8psyzmsjjGk+G6GKe7xq1P3ngwDk7A7o95vBNJ6ydNgBwuwCSXbbsrWOG3iuiN2Lscteo3VwreDVcNofdUNy0xlOeGxqcBnNt3MpgGxy1G3atdYW1mBgbNhR35IGhqgj6xmxQIT3Z6IcOUjOYeD3VscutAzPRznDZ13CUb1x8gvKa0Ncu7pU9rCQPPZF4qTH25aAHzG+m4iJKu/KnoQfZm/40Kr/Y5jxxDG59lR8q3q35zjIoOips1t4rrqLTopNjbBiKTq8/lJbsvYjHeCSHoNKimzlBALgXFvb86Q/iftMJ3cwJAACpE5V+AQCAN1430zQ9+8iZnZPtXfKwf5uMumYYwTMBABRFcZwHRD/HTa+xCc52Q/NB+jaQH+6nBqaoGxZ3g+i1EMZurPZzJImtEE2f63dY3A39AOVUby3zCVDwkds4DlBODU9RdovbWCLmSZBKIZ8DoI4wOeha0dYJx1aA7J2i7rzviXVaxNGYZ2npd5XlolmwlsaKi7cXFRl/td/LytIRBMaOraExrTZTpVLFfXhPj9RsjrL6nra5oYu90zUtx8ui7YCylh7n9fNd7sNt9ebwC5xapazYbR74YWKuaES3+xQ8Glx3EQTvXyLrpGDfqZZ9ooWx6lTXqKWv6HRbi1loRPqul6/VR9qs7Z2uXR1thwwgNFjtl1MyO6Y7W9uFrVTNFLm3M4kMqSadjF3ug6a2FgNAPBe350pXu6mmoae+ACasjX39Q+aT+/KENleSYexya+95EDW8LhnSx+W2g+5wHoh3tBWdPlrU2ed55ARzsjpWsO9US/mtS5bWdgCQe5JdMx4wFLqs7Raxw4jXMQgfc0ejPuZk3U/R6bYnDQ3YRqZNVW8ZAKCsohoGwkHGGIXPDV3s/T58irm+pUc63dremdJ95oYuDszUNPTEvBRidCZ+PkeSh55EvKR4roQ/SEyrhYnLBlf+uaGLY7vbWo5LV4iKjr1glR8Me0/2mK+f72pvBABzbU9bOGPD5QFDMdy61Jg8QcQ58r0Lqlc7M+K9F0kRsxbY7vc95zroGye0B2BycuoP/+RNPcmRoqhQMOjjQaUm2clxqIwZHnLTa2wSuvN5p5Nl2VcK9V5xVzhXo2mKirpsKWECAMjMzATBz3FB2uWgZf2xgCy2clMcdDrzttfYBaYTuq7PaPvn+pnwoaYOIZQjHlw9QJ6to88BQDE1MEUJ9o1NJv+Bz/VNa2vs73//+U9/9KWRFkoQBIF7V1aUCiK5xvx+v3zG0k0j9XyO+WmX4K+en3ZFB1BcbrtBb4ColyQVzFVFnYP9JsObZ6Aguen+1Ih8P5lrdpm61gquO69fs+mONYe7nLxDh82jnSNjx8vWfA+FG8VpnqI/mGK6QCnlJbEMqVJx/JQkZEF5lQ6iLbDIZ1xZRTUMTLsA8sa+HPRUH5Xa/Yp3a76zjIy49h4yrCnDxuYcOK+f7xqFcK+QwglSkvJJ84S1sa99WJ5GZxv44WhLTz1A/OSM+B9zkZSOCWtja/uTjWYa+8Gm21MjvEH5RQa4IlahGIVvDHbhkaUsW8KHvn7xhFodx0bZrMpfsO9UvfSPuaoIbFG7N7jyh79zNoa0K38kJf9M2djl1oHG1rGIl8g1eg0aetqk3I5InlOYsctdo3bDrqbY6p2ukyMC0fQX6ouDdIOFmen4p93/CIBFZ26ukepI+2mOXaksp0I2ALNJ6D5/nrDxPP/G6wAAxI5iAAj4A9u23vMa/wsDAGF3Qly8xsmo4SHRfg6Ab73GjnAHX0edlc4rJioBroadH2J/3xHjQgj38fu1M/vhhkXYK0s+lYa3SEeCMPdoIo394Z92A+BpaWzF52OYYFmpkpVpbMI2yXGcXGMME9zk2cAEUrE5ZOGJmABKs/6a6KSdtrSOCns6W9tXZUpH45ydASgCgLKK6r4BCBvU9pl5gPyEZ20GnmkXwBovVeSjTSSNNlhwe15/tyzSYMm/X6Moq+85am0Mu74jnVyahp1ErHM+usmUGZEVx9siz25Y8r3Lz1qvDGlj0JtgtLMLBF9UGN2WtbMxwtakqMaByxMVogLNtZK5YNj7ZvXgQFTf5hz5PvnHXNn/3975xzaR5Qn+Wz9ccflXJf6R8MueTiDg0Amd9Iy4ux2YZIHQzEQaCfqEBBJIEWizrVaQehByTo1yUgTaRIgZHdGKjUQuEuwlEjpoaSTP0oTmyKa5m+2Z2WRIdmJw43THBBLsODixXXbZ5bo/qsq/YifODwJMv49Qdzmv6tWr9169963vj/eOn7O25ydo5ireyAAw56RHKKmsYaB/xAFVVlGXvpbCd0ndmUa40iO9m3mburI3+mqLV1JXb7nR95Vjb1LCW7fOn2ESEoefBH9VnV8SDRMeoACt9ku9I9KAbKxuSuiZKvafMPY8dEzXmRKPP3K91T6QtZ8s+V4sRindaeNqOwJnP8oe6pkDQRDGv58IzAeq3rcqBv5h/lEl3bkPAB6NjPpm/SzL7qBcPIA4bUY4TqWq07iXHyogu4UCjPOPgPisDETrDNh8jelPYU9XmSw68f/50cgH8jH/RBQ4UsJoazvgl/vFkv+fBwP7/rYu/eoV1hgAvJiaejU7a91ervn9ZZ9cY0+fup6/mIpGo5u4v+ByjXFRDsffwN4r+cgcJXVnWurSDCi+j2XB+fO2Q97Bqzb3nu7jVYmDvO+e9oa/BSQdDxc5ZzVmWuPePbX9X+cbqiCF7Ka7rBv1ZTC+pH41A+/g1UuO9ODkhZambGT/oF9RGVaCabMZhqF+f9KWPzQB1obFxTxRh5xsyYqqWpBilY1mBoYmvVAlpXom3emBVnm4a0xPeaGsZuXCsWNoAkTRPIn/mzGwVmw2w3AeUu+ySHxzTz+40mO7AvmIHdkb3bTq4lXsP2HsyaK9yH7ymnV+GOtNRn9IGeZ13bvY+ReIhlW7rZIji9EoOfDKiS8n0vxRcwscq3Bj8vv98Xi8qOw0fbQjcLMp8HMnuSc8+PD3xcUlJEmyYZYi8V0pK3D+399/o1ZrSZLEMAiHI1yE/cmH1fSLf/Y33ibO3xVnd1qprPtZ5ezsLDn7HUClaCuJRqMJX0tYYMjgzpYHbqau4ZENl4uHSqoM+KTjxZGFZ6Wvk5HhLZEMgnV+6/pAXPPink28NZwtD5iBPv+ElRfqEClMX+9LEAT3s2eWlBrTHIB79x8YDCaKojiOi0Yju1PCRv996M+AEwVUAYYBF+ECwUDNB1U6783UGhNA2P+3P5ufD2g94365xt6UniNvc47X58o4SKS4/RkHeZBLWi/ZYEyEdaRHmS9ByQYjuIaGVuoSP/2gb9hl3bOEKGCq+anRf6NvSdfxRajabV1+DhVVSSc102YzJIId0qPnjfoyUVUDCxYFScVzp6s/n5aq2m2Fgb5ex8IU02Yz+B86prOUQb7Fxdb2U1dWU1FSGX5Rz7j6bz8Q40TGei85MtzmR663tp9qbb8+lvyT0ciAd/h38l+8g18PyNKkce+e2pQkcST9RVLJceeWA2rrF5uVvYO3b3hTPPsAAKYfXGk/1Xr1QV7BLCPfOKD2WEt3W+Jf4wkpTKDYkowXyL/zF1uMoo4QsreFREllDbPwwgXhCbkbfYXFyyxDjsxzk2fnz7ceRq7nei/SWEXnX15/WKwMK+j86VUkO62LYSwV+08YJ24NSqtBeAe/HgDLx6nrcOTShOXxXiTA0l0EBAFGRv8CANTlLgqAazwsPFduLXvPaDKaLZbNmzZnLA6h1ek2b9litli2mC0arfYnP66hX/yzv7aDP9olulnMzMyUl28DgKKiInA5edk/gw1HpAXX79l85vLAzUr6s/1yruPEp079QDlrLveZbZmOEVIoCsBTMbd9GncimGVRGQVA9B7Vu7MEv2zbKjuFHOjQuzuoe7bATQC4LS3U8ZtriQiaD2uqMzJ1PHbG4/FEjbEuqLDu0Bv0Zotl85YtGZu0KZXKzZs2my0Ws+VHWkZX/UGlznsztca83pltW7cCgFarSa2xcDi8zhErIstZE0x02kg9kEmEZiVjtBZhgdSSivV4Q22rXdQGl9U3nnP33JJS0oY5V2f7jXRn8tQLk44aacEaw7bW4XRFRdK1M9W7Lc0MIepXJWtRurIaAJYfumKtry7rHO4arFl8+bLMAIH6xs+lu1SdbJ50d9pPtdoBmBPNDbWdso+I6VBT/bhNUghbzjVX3+qUzJqiEUF+WMu5Y5ZLeTjtWo+3nOttT/0ilyu86mTz5MVOMUqIOdHceKKvJ5+BfAUY937SAVdtkj0rPyVTumY+PepBLHn7KSn31EF2+kFfVkt2en8wJpwHE4iCsv9G/0jdkkq+LLEDCfPK8bozDROtYstC7bGWc0Ptt3Jkk3p53bHqh52JqxpP9CfaImNGzPB+TbswURW5G71kRcVLQ+qHCVV/DlbS+RepBymOSe5Cx6rL+hYx90u8q51ftqeckl3HUgYosQUXBveJ8geAdzjbyJbzvciKgiRBDPFoAgBgfXwBrXr+YmrTxuQCXMyMLhSJ4jhOEESGGyOBEeIfBUEAQSDJfw3UdhA9TuYAAMAT57ehEFv4v08n1uYizt9NhImWFIfZhnL20RGN25mQFXy+Wee3Mzt26AuZ04z7NN912G+2pSk8ZNsKD0Ac/ShFyJAW9CTOl6b+BIBkSEvu9T11Wi14AAD4rsO+C3JsiyyRcGfL/eaOVL1IosYiEY4pLPrue3dZabLG9GzRlGdGrrE05QSG43iyGgVK8TC1xp5NPn82OVl0K0uNcdGYrlCZvRVfJz/c/VZkv/R3fVVEtPTyW4Ds6LcuC4FPp8eT/5BBnf+tY3bWF49xWzZvIgiCZcPuyecqtSYwH9hYYmQYHQCwbPjZ8xdMoV6lUkUikRnvy+3bpKlYEATn0+9KNmwUdf5iVj+ySMZP1/h3YY7nY9Gq9zPHbNf4d7E4FotyO63JtS5Ylv1+4hngpFarCQSCfIwrNhqMRsOSjzD8aHRuPvBB1U5mFSuCf/3w9z/+sJqm85rUxRAS0XQy8ex5gZJm2bCe0Yil5bio+9mkWqPTaLWxWGx66sWO8qQLyWOnq7hkg6ixmJ+bCwb827ZKqc8mn8/Ph2J8rGLHtoxd955NPo/ygsFgXP/QlXdpvxUE4u3E0T/sAuaE9fUJHCPXe+GkKGSMfXUjaygjAvEWoNXqgsHAt+PueDyuUJCFhfoCpVKppGfn5p9PewFAoSAZpkipVAKAQqGgCpQT7meFDBMX4t6ZWY1Wm3Ay0Gi0Ho/n+fMpWqWcmvbQKvVGQ2EoFHQ+Hddp1QROAAYcx80HQkpaVaRjAoH5b5+Om7ds8s/Nebw+nFAUFRlolYogCK1WF2bZV/NzL6Y9RYU6fVHhs8kXgWDQvGUTgRPRaNQ3O2symVQ07Z+b0zGFGzZsmpr2cly0oICKRCIez0woHNFpNSAIS9YAjuMxPl6ycdPEs8lCRldUWEhRCo/XOzvr56IxQRBwnIjHeZIkVLSyqLAwEAxOv5wpUCoxDCNJUqvR0SqVWq2Zn5/zPHGBIJAKhfhHACAIQq3RjH83oS8qxDDwzfpplSohT6jUajbMTrif6XRaj2cGI8iSjRujHOf6bkKn1ZAEgWEYF+UCQRYnSL3e8JbHyiIQiAVIfjOvexuRqpM1vdm05QjE2wVJkgxTyDBpfpEEQYhCRgY4jhcWFoVCQY/vFY7jGnlmFVEoFCaTKRQKzgVYg8GkpGkcx7VanYJUsGE2FouIk3SR3qhUKnEc1+mYEEFOTnlwHDeZSsTzEzdSqdW0ShWJREKh4JTHp9JotbrCUJiLxViCINRaZi4QejUXUCqVRUV6kiQJkgyFgv75IEmSBmNxiULB8zwfiy1ZAziOKyiKIAjxXq8mJgVBUChIjY4pKFAqFAocx2OxGBeJhCNh76yfoqj3SkszXCsIgjAYjIYFShkMw7RaHUuQM6/mBEFQ0SpapUqE2hIEodcbQqGgfz6k1RWK8hZJkjhBsGwoyEbEBtLpCpU0/UYcSOGHbFtBIBAIBAKxnrwB1QoCgUAgEIgfIEjmQCAQCAQCsR4gmQOBQCAQCMR6gGQOBAKBQCAQ6wGSORAIBAKBQKwHSOZAIBAIBAKxHiCZA4FAIBAIxHqAZA4EAoFAIBDrAVqHNCfiRlNla7WJhrjbXK6dGxHvDNMPrvQ8rFmfrVUQmaRs/5bnnmcIBOItYjkyx1jvqaGq7uNVMNZ7ql+fOnc6etu/qWk5WQGO3vZb5nyG4wV7QFtXuWfVymaCtd0j6i2ZjcS6XbAad9ru9unj9SJJOUjbavW1r/ydTxkyNol9S8jRFiLSpsdZUqWZNZ+XIq3tIL0tFuw4/zZW0fIw7v2ke69YdeNvuizLJLWl8h3uUltwrWSs3H0yZRfuNfvWSicWi7GhUDgSJghCqaTFBdHZUGg+MC8IoFGrVWp11jW5Y7FYmGVDbAgAaCWd67RoNBpmWTbMxmI8jmMURSmVNEVRgiDE43EAwHGcJEkMwwRBCIfDLBvieb6goICmVeLq49FolGVDkUiEJEmxhBiG8TwfCYe5KCfk3m8FwzBKQVEFBRiGRcLhEBsSBIEkSUEQOI4TBMBxaYVyQRAIglCrNTRNJ5YtT5SfZUMcx+E4TtMq8e4rr+63kmXIHF6vP+VAn5IyPeVNOTDnm+Fbvm2ENLqtFaZDn7cdWrvssuPobb/ksJyoZyBjq/qx3lN9/hPNLeKY5ehtv9TZu0EcdBZJyo31eEt36k2v3Hkzk9lqRdXXSM62kJh+0DcMRga8C1I8d7r6ocwIrnxvlZw/HL3tl1qvpk5Or2nyQIh4B6/ahkqX7vyeOxeTb9nI9Vb7xcHiJdvF0dtzw9jQfaZKulEeL+ZSGebsk97Bq7Z+ONHc8vnqxJp4PB4Oh8NhNhaLJWZoDMMIgqAUVIgNkTjo1KoYH5/1eXW6Qj7Oz8/5t5W9p1AoHE+cwVDQYDAqFApBEKLRaCwajcfjMT42558roIhChlHSyhcvpgPBoFajEXPGcFyhUPA8Pz8/F5gPFFAkw+iKTUaPxysAeF5ORSJRWqUUZQ4SJwpoWqPRRiLhOf+rokJGoVQEgqFZn6+wqAjDsFezr9QqpU5NR6Mxz8spprCIplVzc/5YlFMQRFyI53pwHMPnwyE8SJIKRZgNFRUyOIa99HhwgnjPYgmFgpEIp6AUPM/H+bheX+R48lRvMFBUQTTKRaNRAIjFYsFAUKuhNWq1IAgvXkzStJqiFOJjKkhFgVJJUdSqmuctYHm2lTJzsXRk3Jz+jjEW+bfZiAa4N8RY7yVo6G6r8g5ezUjxev0AzAZ5NLHWWMCxdFKeWGss0OfzArzTH9BrTO62EPEO3r4B1R31PltfRsr0g75hqG/82N1zafm3tR5vPHGl50b/SN3bKor9NSFq2mqP5SFtmw593pb4UbXbah8YGvLuXeLCVMneaC0t6x/+ZgysK/5OW6RPeu509cOa6FFCweD8vF+n1dAUKYAscwAWF4SZGW80Gv1gV6X4x5Ji07/9cUilLHh/p1XcjM26vXz6pcfr9RoMBpYNBebncQz4OB+Lxkrfs6jVavHCbVtL/+J4/Go2AhhggGE4HolEQRBKSgyllh2JkhQXm8S7ZJTw+Yup8XEXpSA/qHpf/IvBYAiFWOdTF45hmzZtMOilL+oNG0oejfwHhpO0UpHYIH5xnrrGX3i9H35QRZIEAOj1ReLfKaow48yq961//NMwQZIGfSGOYQBA4rCrMilSFhebJibcGEhSDheJzgcCBoOhoKAgn5K8teQncyS1gj2nJAHZfqrVXnusZfeQrN/ubL8hpvS151Qmr5o0dbqkKE4x0/QnipdagFQ7jqyfTNEiQl/7QFqGaVrQhcqY5ZchJTXbd3lahuknyINafgqhiuPdOU4z7t1T22+XtBGeOxf7JsrqG61LJeXH9IP+CbA25HVJmiEg2UbSx2K9zyalvk5TfWrTJ8sg2cU+dvdIbZFuhkhxIwAAWHr4yd0WYhm6+v21xw4ZoTcjxTt4+4bXcm5vyYKUPCmprGGgf8QBVeto7RJtlI2WftkQsLT+aeR6q30g9TTPnYudw2a5q6dVeF7arJHrrXZ3UqmTYTZNHQRymB2XpzMTrR5v0qckddzIa4jI3Se9jnGXsbRpLR7kld+/rdSc2F09lZJi0+PHT+CezdcIGncHBUBgsLNiB/7d//TXdsD5u0xTaUmxyed74nI9LVCQVZU7Uy/nzpYHbh4RL9xp3ZGaFIlwzyYni00muGfzNT6hB34NzQf5z5yaAwAwzjYcZB8BQCU98AVdBps2biBJothkkvKELv3lfSoVnRBB+K7D/t82MPbTzSlYTAAAEtlJREFUBMCuqvfdzyZjsRh3tjxwc7EHp3qcmgOwtazU+eU9rPu/+qQc7gfMTdDj1IDN95tyxn4aug77nzTrL+8DgJ/8uDoajWbsKCs/whd0GVgsaVaDlx5PMBj4YcgcFce726YfXOmZqG85WZHutVDR0u25c7HT93HbcavnzsXO8Z++tpfQO3j1kre6oy3j46DqZFvVyZy+FNMProzsbms5CQCphgPJ0pHDn6PieHcbSKlrUAYxFRy97Qu+XMWRax38IapOtlXt7m23tQ4DMAlLylJJi5Ec8ozVHfkM1guNOK29yQf3Dtv6qzvajhvFpL47lfkYaxx2eYf3PEf/ket90NTWYgQQKz/VKuTq77lV39h9vERs+q7BGrEpvYNXbf3MubZPktLJ0k+7aKn7h13Whs8rAMYyi/e7fn/tsU+ssFxlUxKjkQHwT3nAur5z4UBfT1l9Y/feEvDcudhpvz5WtegsWPWL+q8HUmQjr2PcZaxuEi8Z6+2CI91tJQCiLJKXJSI3kjjSnWjN1I630gxX8WU18o0DyuprlqUX9DrGXWD5WK5SR297ciDy3LnY2X59FaZqr9sPxs3e3nab1O1WLktFuQhJkgtnaOL8XaapdMeO7eBO/vEnP64B1zV/bQcPABd+xdZ/QZdBhXV7IBDImgnA7YD5dtofjnbpL+8rKKC2lo0HzAc5qKQHfk3BOPsIuMZyn3iC3Um7rvlrk4N5sSnANvwN+0j81eTLIkyM+s0dsMvG2E+bt2x+4vw2ca8sz+y65q/tSPw69NEBvusfpR/3vuTgCPUvh9nt2wEA4D57YZTqSWaiUCiySjNsbTmb+nuXjbGfLjaZHM5xvT7z5HeL/G0rLye8ogHl5YQ33YDi9bmMeqN4AMzHeffUgYSCIc3qnO5emuH15h0f9cByXoaSujPHEz9WYDjIwrLLkJuxr254mRPNOUeuVOXq6hi53mofMFZ3tB2Cwau2zvaHGRWePWkxEmXzDl61pfsQZENShyTOsR5vqG21p+iKLefkhjaas3k55C4ASNLkVVh6oKw6eSYhHpVU1jAwlJpjg/zgxRZjYmxMygFrw1jvJYflXFsWKc3Rax+wNiymIFk+rqTi7fW6vyRfYdOhj63Dl4ZGTlbIjggpKqLEF7moYJM7wPTokL+sRp6GK45/nrjAVPNT4/BqhDzv4NcDxuoOuUun31e6XXdbrqsXsNoAtOkHV+wDYDm3LBFqrNfW7y+rP2KVy3DLwZxolguQXuHpmry8G91h/+ZYS/dxgNX5johuEwCQ0CssAt912H9hlDh/V99Uyncd9teWs0e79Jf3aTQaAOBAmmuzOIsCgKSlkAiHo8k7ur7iF707z1tou5NO0XNklkrWc4hIjpw3s0onEvLJ9wPmJg4AYNTf4KTgNnG+i/jtbR62wyMn12Xndtk0Tw/7fpPMn7rcRd3sJOTS8l2H/Re2i+ocOcMvKfnkRZxY3xXykTlSfKczDCjN+ltS556wtQ6LKZda2/Ps5Tn0gZJWYCHGvZ90wFWbVIZ8JfGMIQ/AsvQ1uVlZGRYl6Uvx+pCGXXGUFB+h//YD6yd1psWS8sS498iJoZ6Hjuk60xLDaNIfSMbtnQZYAwcgUYLJpwwLol2Wytoz6Qbmp2vmqzJyvW+i9lhLltE8tyyyLDIcdN6YD6l30gtVxsV8sat2W+2X+u/8ouKQcewryaIkkRnXlpctfbHCDCcGKJHaFWdlOvR52+brrXZbq2/5eo4V6TXHek/1TSxoR/+NxGgskshxZe7q1obEaJxFLFsFPM8DAEEQKfMxBMxAHb3N3TxCHR3lLhz0XQAAgF02Gpp85qWFlSx3iccBRtnachaOaHqAl44BjtpoR4doWxHPFATh0cho5fs7JaNGVkliV4P4f47j/uJ4zOh0ALn1HGns07jvsg0HWbAx9jLWfJt/1MQe7dL//EvfTeCfjMKj0cAjoHq+SApS977kYBRqD8PAF1S/JHAQXYd9F4AeaOZrmzgAuNdBHQDvzAxNK5dXL28f+cgcJXVnWurSDCi+j+V35vO2Q97Bqzb3nu7jVYmD11fcxPjlHbxqy+e7dqxXdMaWThvrPZXpsvf6y/AWIOpOE/Om0Vpa1j++ZFLeLFB95c2aeRx7Jt155OYdvHrJkeFHslTOps1mGJ7wAqyNZmtkAFJciABAFNON1X9nnJCOk9hPtdqXKTRMjw75wbpn/UOXM8l0M8+Ctb66rHN81AMbhlJdgqYfXEl19VgDY9ZaBwlXnWwrtlzpubS0ei+VNRQ4YG19noxmBoYkGRFAfpvWJm9wPH6M4wTLsh/W7NO4nSnf8R1wGUD6b4LTtPyTuuzUwzjbUC4bQdLZZWPszoSdgY/xuOxUAQB6dwcAcGfL2e376cunU20rPB/nYvF/++PQnv+yGyCLJMF3Hfb/VjyT/8O//1mn1WV1TwGApLOInIl/bo7xfsU9AgAnD6c17q6AuZP4dB+AiwAnddlJQXkAusRCAsCLqamSff+gd/892/Ar6Lf5L4wCjIr2I+L8Xdr1Tz6QXFhYln0x5dm4aXO+9f62kvc6pF6fK+MgkeL2ZxysA0ZrabocXLLBCK6hoUVV8iPX01YyAFGFPjA0so5lSKeiqhYmLl25k+sSR2/7qdb265lW/2VjNDPg+PqBR862f9glfwovkgQAANMPrrSfam2/ODidK3NHr30ALLuX+CQqqaxhXP23kzfqtQ8Yq3+xViuj9A27lpub505Xfz49NrWTLFjxYrlUHO9ua0n+O2YBsJxra+k+c+g/HW9JTTpnBbA2dLe1LEvgkGa1POX+sd5Tre2nelfY/xfJ9pKDOVGfRxlMhz62+h867nyT+3zv4O38KrzYYgSX+yUAZKhJjNbSMu9wV+4OvKJ6KKk703LO6r/RmefruYTA4R28eqq1/VTGUJBL4DDV/NTov9GXc9xYLsa9e2q9w7+TH8TRv/y3KTfv79xZYd3xYU01AIgODQC3A2fvg+ua31zuM5f7zIdZ1/2AdFzu70r95iml7U69W/x3l94FxPm70s8U20coFJqe9gMA11juM9s41zW/+TDrGucdADDONpT7RJcRAACIx3mdjtEXLe0WIQiCXm/Q6rSJRTL4rsM+uZw+c7nP/CvodOrdzoTU8oc//onvt/MA4jPyXZ3c0QZoLg+I9s17tsDNI5qff+k7e188X0EqgsEgQCn1S+Dg7/VuJ3O+EgCoo0f4C//ElZUT8IR3AQBMTb/k+bgY4PNOs5xYWdFpI/VAJqEzX6g8X0MytOK1x9K8HUXtuqxBld/tiv0njD03EqaQY9Vlfb6ULEvqjlU/7JT9EOWPobQbiZ+k8lfXSsqQFqwh3isx9EgfTEnF72os7ml2XL/4xSwasNJNQgDGpBvsIkm5SZ96rQ3deVgEstxoVZ+eaWUokz0ElyrDntp+u6xLsJw7ZrmUffGMVErqzjRMtEqdpPZYy7mh9ltLXpS7LV4DE0ntiFVaziEvjPoymHA5vn7gqVr9F7MrLWIrX/cXa43F1TfssjZ0JwtQUldvudEnv5XWhnNWu1zhaY3u6my/kTQepb3LtccaT/T3SG+d6dDnzXCxM8WvZY0C66zHWzoGr9pE89Dip459dcMLaS21tNlr+kH/BGR45EglL6k70wip40Y+vWuxPll1snnyYmf7KTFxbdRCoymOkJK5hO/qFG0rcLMpsN0GcETj/ogzd8rn/BqaD4onPHWNT7gnK3daTX++lIhzycXXD/+feQsPkp7jfsDcBOe7oPkg+wioz/bRdid9z+ZrfCKezPPxmRkvH4uBdZtYkly2FUGAmRmvWqUuNkkCCtH0hb4JIMXnA7oO+y6MyreGA/veYy+PAgDsqiRuNvnFegAAsBMA3L8AwGigEQCAu7yPAjAaDeC65t/ZwUMl1ZOIzWnmzE0AEGi20UdH2dpyvsdZeuBHz19MBQLzer1hBY3x9oDNh7g3XQYEAvFmEBeJWvUEnBGnivjh8vRb5wdVO7mz5YGbC9wyxPiOXZX8o+30+Sfck+1wE2j3R5y5kxho5ms7CVHm+OVdpqn0e7fb45mlacr6r/9N9ugcZxuk1Gx3lqNSD2RLTAnQBQCvd0avL8JxfEkf0ng8/u3TcZXKY/i7E9wv79JPDmbGmGSaZu4HzJ1wFDhHQ7r36/2A9JhN/PkuTf0+Qq6ZZBkSITyiiOaSykyklMfxxLXFvFZWrzcD2m8Fgfih4rlzywFgXc+VPBA/YMpO0+eB2Or0NwLR9AXjuua/2REw3waopAEARtnagwBA/BIAAAc8LsRNhiD321GwNicmbz7hcAqQEhoje6eK8bE5CJildS+MxnxVBTiOby/fCoCLChvqslN/GSBbbIvMPqoHiKednEOKyklLrG0CALjQ5L9wJCEAUZdlr5Sy04z7tCR5uAAOdOjF2DlZuQIA4XA4z5K/tSCZA4H4ASIZKfK0SSEQKyMajf3+mz/q9Qa//9WPa3YVNJ2GezYpTZxiE7idqRdOezxxPmaaH5p7BPCok/10n6gyEdf5yLhLOPw3mvTLlyIZQbPY+hyQkAzG+UdAfLZAv5LUTEDiZOrAPv5pJ4iGmPpr/lo7NfAFXSbrMz51Bfr3a5KPkFqSJHym8CRlrlC881P2O/8ACARi+ZTUnWmpW7Pcqk6uOsQX8VdJiA0ZTcWbNm0q0heNfzdh3VGelpyy5qY4fxOycSQYCHz4YXX0vx/jd9loawfbfI2y7891F3GvOBHubHnAkVzVI3X10hT2LU9GufclB0c0Zdf85qQvKsCovxaoHieT1ZoDAAB8v12K2t1lYz47Ao2ifNPhe5KwyCwoSXo9ZPLOL8+Rf9wKAoFAIBCLgqUHVmCAkSQpbqNKKAoeP0nOr3zXYV/jbYBR9h/vA9wP1HbwAFyjTfzor/3ZHtX/OhG4WUl3nqYvOzXWDr/5YPag2QT3bD5zeeBmJf1ZQjoZJz516gfKWXO5z2xboE4YZxvE8JNEUuIvqeEz4+xvbsPRj6iy04wUQeNkzlfCLhvjliWDe7ZEJk+ciWe8z14YhaNderdTby9jG8UVVI9oeo7AzS+X60cpCMLk8xcanXaZ1711ID0HAoFAINYGBUlCit8D64uJ5gCCIDRqdTAgqwnu2cQVSJmm8YBZ/Po/onF3wNly2etinPvtKHH+rmhSoS479Z9e89d2pPtzgOzSIa6TcUTjdib0Gf65uTHHTPlWxmA4zbhP812H/WabrPBIWjTEUJdIf9xZOo7jzy3/47F+2/dsw0H2wkFf0uuikv5UchT9jzGHgiC31zcQFzr85uSS53C0S7z17KwUgc+dbeJ22ZjLpeISI1SPU39gnG04GGhMnuz89ulcIEQrlYIAES6CQbwmRaj45g9/KlCqSJLEMMAJUq1WMYxu1U30hkFxKwgEAoFYG2ZnffEYt2XzJoIgWDbsnnxeWGRQqVQAwLLsq9mZ8q1Zo04Ww/HEGQgEt20tLWSYfM6PRCLfTzyLA67RqEMhNsqFjQb9wg1mReLxuNs96Z8PanVaQRBCwaCyQLFl86ZUe02CPz8a1eiYSIQr1Ko2bdq48ISp6ZdPXd/9590/IYilbQgcxz0dnyjZsFGhUAiCwHGc5+V0xY5tiRPGHj/dsHEjQRDiAiGJZULeaZDMgUAgEIi1IRaLBYOBQCAYj8cVClKn1SlpWlzJiud5n2+GxEGjURcVFgLA1PT05PNpAaDYqDca9M9fTM3MzG4tew8wcI1/r1apNm3awLLh+WBYq9UEgyGOCysIAsMwDMMIHMdwDMdxDMPm5udjMX5H+bZgMPjS4wWMYAoZtVpDEEQ8Hg+Hw/Pzc6FQkNFqjAb91LTH4/Vad5TH+fhLjzcai+sYnUajpSgKAKLRaCgU9L/yY5hgNBSRpML57VNGp9u4oWT2lR9woqhILz4IH4sWUAoMw8S78DzPRaM4QSkUZJSLGPVFhYUMAEQiEY93ppDRBYKhqemX0RhvMhQVm4zBUMjjnTUaTSq1Wqw6QRBEiY1hdIIgzM76lSo1wxS+ucZ8LSCZA4FAIBDrQTQaZdlQKBSKRmMYhtG0UqPRYhjGsqFIJFJQUEASZISLAICyQCkIQjgSJklSpVKLmoBoNBrlOD7OC4IgCIK4nxyO4yRB8nE+EolgGKaiVUqaJoi0IFZRixAKBaPRKEVRBE5EuIggCLSSVtL0wqXNeZ4PsywbZjEMUxYo+TgfjUYpBUWrVOLJPM9HIhGOi/A8LwiCKHlQVIG40XyYZQPBAMdFBUEgCIIgcAzDFAoFTasIgmDZUDgcJklSrdYUFBSkai9isRgbCon3zfogfwUgmQOBQCAQCMR6gOJWEAgEAoFArAdI5kAgEAgEArEeIJkDgUAgEAjEeoBkDgQCgUAgEOsBkjkQCAQCgUCsB0jmQCAQCAQCsR4gmQOBQCAQCMR68P8BYWoR14XPeGIAAAAASUVORK5CYII=" alt="R summary解釋" /></p>
</div>
</div>
<div id="迴歸分析的基本假設" class="section level2">
<h2>迴歸分析的基本假設</h2>
<p>當我們建立出一個線性回歸時,必須要確認其殘差(residual)是否符合下面三個假設:<br> - 常態性(Normality)<br> - 獨立性(Independence)<br> - 變異數同質性;等分散性(Homogeneity of Variance)<br></p>
<p>我們先從回歸模型中找到殘差的值,這邊延續上面iris的model介紹。<br></p>
<div class="sourceCode" id="cb8"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb8-1" title="1"><span class="kw">names</span>(lm.fit) <span class="co">#可以看model內有甚麼參數</span></a></code></pre></div>
<pre><code>## [1] "coefficients" "residuals" "effects" "rank"
## [5] "fitted.values" "assign" "qr" "df.residual"
## [9] "contrasts" "xlevels" "call" "terms"
## [13] "model"</code></pre>
<div class="sourceCode" id="cb10"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb10-1" title="1"><span class="kw">plot</span>(lm.fit<span class="op">$</span>fitted.values,lm.fit<span class="op">$</span>residuals ,<span class="dt">main=</span><span class="st">"Residual plot"</span>)</a></code></pre></div>
<p><img src="data:image/png;base64,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" /><!-- --></p>
<div class="sourceCode" id="cb11"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb11-1" title="1"><span class="kw">hist</span>(lm.fit<span class="op">$</span>residuals)<span class="co">#殘差的分布情況</span></a></code></pre></div>
<p><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAqAAAAHgCAMAAABNUi8GAAAAz1BMVEUAAAAAADoAAGYAOjoAOmYAOpAAZpAAZrY6AAA6ADo6OgA6Ojo6OmY6OpA6ZpA6ZrY6kJA6kLY6kNtmAABmADpmOgBmOjpmOpBmZmZmkLZmkNtmtrZmtttmtv+QOgCQZgCQZjqQkGaQkLaQtpCQttuQtv+Q29uQ2/+2ZgC2Zjq2ZpC2kDq2kGa2tpC225C227a229u22/+2/7a2/9u2///bkDrbkGbbtmbbtpDb25Db27bb29vb2//b/7bb////tmb/25D/27b//7b//9v///9O65+QAAAACXBIWXMAAA7DAAAOwwHHb6hkAAATBUlEQVR4nO2dC3vixhlGZWdde7e5NJBN2iamSZPGpE0vm5rc2hps+P+/qZJGV0AYeTTM+4lznicbjHlHo5mzo9GglZINgDBJ7AoAHAJBQRoEBWkQFKRBUJAGQUEaBAVpEBSkQVCQBkFBGgQFaRAUpEFQkAZBQRoEBWkQFKRBUJAGQUEaBAVpEBSkQVCQBkFBGgQFaRAUpEFQkAZBQRoEBWkQFKRBUJAGQUEaBAVpEFSG1eu72FUQZOyCrmfJ1YP7/3X1Q+PXf70feoPf3STJR81Nd37qQ/cBV4fHT5P0na7P18FmofPksqv6hzZuivMW9PFtZw+/lGXqWTJpbrrzUx/nH3B1WN1k7zwvFYKOjJagOxzo4ZeySC7u2ps+/KmiDumff3/99U1y22dbCGqffSPoj2+S5OLDd1kHp2R9/HN6fH3vD3mHrr9Lkld3edenFn39Nrl8t/n5bfq591OjnqbJ9c9vkosvNj/epJ+qN1MVkBfp5Mu3tj/hPvVt9gFXh3/Pksnq9bf536Jqs1lVLj7Ka1VVudiFbIrw6pu8ls7SdDvZsF3VdHtXzXKGgi7yg6nrW/f/4p2852e5O2/qt68elu7XqXapBo43pdqOuoA9gu5J7BP06pfiJKncbBF9db9pVNntgqtluRO1oHVNt3fVLGcgaMl1PaY9bH7KJ4quc9P5n+tM18XXD+t56e3Vu81/0tRvHrIPTXJBJ1k2+aL4fE6zgK1DfEdiUUvk6rCovC43m/3iXbXZssou42r53bagjZru7KpVzk/QtP9e/av4bTX/uy9/qLrbCVpOCX/9/k1WQPp+qof7M/egWcymnBdsCbovsSPo09t8tPwm/12+2eKgvUh/3ahyKzPdOcRXNd3ZVaucn6DuHTfjnNdHTSdN+brl2vrLsoBsSNoUf9a6NQvYI+iexK6gm/X3+Xn8bTUGF+f1iatVWeVyF/Izvp05aF3TnV21yhkIuj0HfXzr+v0vRQ87e/Kj+235uilo1s2v/vzrtFPQZgEvFjRbqP99MVXIS1gmlaCNKjcKbQlaHtfLmu7sqlXOUNDN5vGrN+UpzREjqPPqqVvQQUbQ/JukZXuzjTWnssrlyFjXsiFoo6Y7u2qVsxQ0+/lPded2z0HLoex2U5+t7NHt8Bz0GEGzX6WCrm7qEsphst6VrMq7c1D38WV2JtSo6c6uWuX8BE178eP84FcdTbvP4suh7OrhcdY9B33mLL6dKNd/GktB7uXF16+/nRfroHkJ82z19HHarnLzLL5aa5hssupNmjXd2VWrnJ+gm++qqV0+zzu0DlrNQQ+eJDXXQfsL6upQnBJl2bKEYh00+6GucrE/83odtDqZmjRrurOrVjlDQTc/ZdOy97OvV/Kvjd4VXwT90QXStz54t3MW/+qbbL2nS9BGAb0FLergLhZ51yzh8cub4q26yuU3SX+7Sd77oph+pmdCH/6zOot3Nd3ZVauMXdAXMo9wVORyu30gaJt5fq1cOtbtubQkMAi6DwRtU64+Wp62jQoE3eLx0xvrFwCNCgQFaRAUpEFQkAZBQRoEBWkQFKRBUJAGQUEaBAVpEBSkQVCQBkFBGgQFaRAUpEFQkAZBQRoEBWkQFKRBUJAGQUEaBAVpEBSkQVCQpp+g5d2pDN/OD2zRS9BFebuspeXb8oMl+gi6ntX3GzR8x0mwRB9Bn6bVPamXHOThJDCCgjQ956DFEMocFE5Ev7P48sF+jJ9wIlgHBWmGEbR6mhu+w7C8xKjVTedTzREUhqXfMlM9UnYsMyEoDEsvo4qTd0ZQOBl9z+Kz83cEhZPR16j5xR2CwunobdQimSAonIz+Rq1u3kPQXiS+xN6BmLxg59ezBEH74NsoZ92oA+/8WbdlFwjqAYKGB0E9QNDwIKgHCBoeBPUAQcODoB4gaHgQ1AMEDQ+CeoCg4UFQDxA0PAjqAYKGB0E9QNDwIKgHCBoeBPUAQcODoB4gaHgQ1AMEDQ+CeoCg4UFQDxA0PAjqAYKGB0E9QNDwIKgHCBoeBPUAQcODoB4gaHgQ1AMEDQ+CeoCg4UFQDxA0PAjqAYKGB0E9QNDwIKgHCBoeBPUAQcODoB4gaHgQ1AMEDQ+CeoCg4UFQDxA0PAjqAYKGB0E9QNDwIKgHCBoeBPUAQcODoB4gaHgQ1AMEDQ+CeoCg4UFQDxA0PAjqAYKGB0E9QNDwIKgHCBoeBPUAQcODoB4gaHgQ1AMEDQ+CeoCg4UFQDxA0PAjqAYKGB0E9QNDwIKgHCBoeBPUAQcODoB4gaHgQ1AMEDQ+CetBv59ezJOfyfpDizgQE9aDXzi+SiXuxLF94FWeFxBff7Q+yF0bps/PrWaXl4urBuzgzxBZslI16LH12/ml6W75cdhzkR9mWsQUbZaMeCyPo88QWbJSNeiw956DFEHpmc1DjedP02/mnqZv1d4yfI23L2IKNslGPhXXQ54kt2Cgb9ViG2fnBVlSCYH2ZSLJRT8ULdn6ZJBd3wxUXntiCxM6bpt/Oz5Nksvrgobng5FPciYgtSOy8aXrt/Dw9OZrno6epZabYgsTOm6b3Qv3qdSaoqYX62ILEzpumn6DZ6uf6vxtGUFN50/RbqC/HTaeqb3GnIrYgsfOm6bfzC3f6vkw6zpE02zK2ILHzpjmHhfrYgsTOmwZBx583DYKOP28aBB1/3jQIOv68aRB0/HnTIOj486ZB0PHnTYOg48+bBkHHnzcNgo4/bxoEHX/eNAg6/rxpEHT8edMg6PjzpkHQ8edNg6Djz5sGQcefNw2Cjj9vGgQdf940CDr+vGkQdPx50yDo+POmQdDx502DoOPPmwZBx583DYKOP28aBB1/3jQIOv68aRB0/HnTIOj486apdv5pmlwPWJwSsQWJnTdNY+cXSdL1hMOXFKdDbEFi503T3nlvRyXbMrYgsfOm2d75TNGOJ3i8pDgJYgsSO2+a1s4vUztvN+tZ57Ni+xWnQmxBvPORH+UYlbry2ZOMnZldD0HqVZwQ0QUzno9K4yy+8wGcLylOidgdbD0fFdZByUvTqHz2JM6l50KTZFvE7mDr+ajUlZ/nE9CnqddyvWRbxO5g6/moNOag7ulxHmdIG9G2iN3B1vNRqSq/nrmD+wJByQtRV36RP4BzdcM3SeSFaFR+dZMkiedak2RbxO5g6/mosMxEXhoEJS9NXfn1zH1xy0kSeSEa66BeZu4UJ0TsDraej0pjHdT3YuVWcUrE7mDr+ajsLNQPVJwSsTvYej4qjYX6Af5JkmZbxO5g6/mo1JVfJgMMoZJtEbuDreej0jjEJ5zFk5eDdVDy0iAoeWkalU8P8lcP84OLTc8u5ku2RewOtp6PSuMk6eJucfVwcDl0UV5v33nhvWRbxO5g6/motK4HTQU9dD1oecloyqLjXyZLtkXsDraej0proT7T7sAV9Y21/K5PSbZF7A62no/Kzgg6775rAyPoeeajsj0HXRxarq9+yRz0nPJRaZ/FP3dFfbma3znKSrZF7A62no8K66DkpRmm8tr3qYrdwdbzUen3Xfwiv/3dpvsfJ0u2RewOtp6PynblD963YZHOUN2tRxD0jPJR2an8vPuyULfMlN8+FEHPKB+VncofsVA/v3pA0DPKR2Wn8sd81Tm/RtAzykdlu/IH725XapmeUCHo+eSjsnMWf/D+9OVXSesZgp5PPios1JOXBkHJS7O7UO/17+Yk2yJ2B1vPR6VxNVM+vzx4NVOf4oSI3cHW81FpXA/qzOy60rNncUrE7mDr+ajUh/hP3IV23KOevBI7I+iBK+r7FKdE7A62no9K64r6jbseZJDihIjdwdbzUdm+ot5r/BRti9gdbD0fFdZByUuDoOSlaR/in7v1TZ/idIjdwdbzUWmdJD1365s+xQkRu4Ot56PSWGZ69tY3fYpTInYHW89HpfFd/LO3vulTnBKxO9h6Pio7IygL9eSV2J6DcrEIeSm2F+p5mCx5KVgHJS9Naw46YHFKxO5g6/motM7iByxOidgdbD0flcZJEg+TJa9HYwTlQV7k9eAkibw0CEpeGlf5Yc6QNqJtEbuDreej0hB0iIUmybaI3cHW81FBUPLSICh5aRCUvDQISl4aBCUvTSnoELe224i2RewOtp6PCgv15KVBUPLSICh5aRCUvDQISl4aBCUvDYKSlwZByUuDoOSlQVDy0iAoeWkQlLw0CEpeGgQlLw2CkpcGQclLg6DkpUFQ8tIgKHlpEJS8NAhKXhoEJS8NgpKXpl/l17Nn/u28ZFvE7mDr+aj0qvwiKe49skw6bkIi2RaxOzh63hfP7ftVvsdnG/fGWXQ8MBFByQ9Ln4037sPc9UgQBCU/LIyg5EPnT7fx6kmzzEHJn4h+Gy/vgtf5yG4EJT8srIOSD50X2LjGikQXsTvo3PNKG0dQ8sOCoORD50+28SNuFI6g5Iel18bXs+duYI+g5Iel78Ui10MWdyJid9C550+58WVy+KmzCEp+WDhJIh86r7TxIPsS+3Ix8hExISh503mljSMo+WFBUPKh80obR1Dyw4Kg5EPnlTaOoOSHBUHJh84rbRxByQ8LgpIPnVfaOIKSHxYEJR86r7RxBCU/LAhKPnReaeMISn5YEJR86LzSxhGU/LAgKPnQeaWNIyj5YUFQ8qHzShtHUPLDgqDkQ+eVNo6g5IcFQcmHzittHEHJDwuCkg+dV9o4gpIfFgQlHzqvtHEEJT8sCEo+dF5p4whKflgQlHzovNLGEZT8sCAo+dB5pY0jKPlhQVDyofNKG0dQ8sOCoORD55U2jqDkhwVByYfOK20cQckPC4KSD51X2jiCkh+WUwjKowyN52P230kEDVEo+fPIIyh56TyCkpfOIyh56TyCkpfOIyh56TyCkpfOIyh56TyCkpfOIyh56TyCkpfOIyh56TyCkpfOIyh56TyCkpfOIyh56TyCkpfO9wuvZ+4S6cv7PsWZbiDyhgRdJBP3Ylm+OKo40w1E3o6g61ml5eLq4fjiTDcQeTuCPk1vy5fL9kH+8L+P8v5HV2CbF7rp5Onx2SNGUIBh6TkHLYbQzjkowLD0G36fpm7MZvyEEzHwOijAsCAoSIOgIA2CgjQICtIgKEiDoCANgoI0YxA07hfNIyB2Bx5CunJHor4P1M8D6codifo+UD8PpCt3JOr7QP08kK7ckajvA/XzQLpyR6K+D9TPA+nKHYn6PlA/D6QrdyTq+0D9PJCu3JGo7wP180C6ckeivg/UzwPpygEgKEiDoCANgoI0CArSIChIg6AgDYKCNAgK0iAoSIOgIA2CgjQICtKYFnSZJBd3xWt369LrqPVp06xd+wcNtFuvxLKgy7R9l2Ubr16r9X+zdq0fNNBuvQrDgrpb5s+Lv/bLzmc3xaFVu3ZVJdBuvRrDgq5usjvmL4qmXSj1/mardu2qSqDdejWWBc0PS+Xf/flv00mU0KMdWrVrV1UC7darMSyom0AV06inafZgh7lOG7dq1/pBA+3WqxmLoMVbOmOUKUGLt3Rar8awoHuOm25iJYGtQ7x7S6f1amwKushmTHvOPIRWS2ydJLm3dFqvxqagOa2FEtfeQmOUqWUmudarMSxoe6k5b2qlab6phXq51quwLGh2pM9aeD3Lmzc97EvNoVq1W+h91andeiWmBYXxg6AgDYKCNAgK0iAoSIOgIA2CgjQICtIgKEiDoCANgoI0CArSIChIg6AgDYKCNAgK0iAoSIOgIA2CgjQICtIgKEiDoCANgoI0CArSIChIg6AgDYIOztNnD7GrMCIQtB9P0z13MFokye+y95fZ7+aHbqZdx/fdSmxv4WcOgvZjn0NP00n9u/nlD5/9csSdYBH0OBC0H/sFva3+v7q5TQ/x86tnj/IIehwI2o/UodXN59P8Bs/FDQuzF5c/ZO8nydUvuaDZBz/5Krm8d/eCLj6UftwpmN348KuLu/wHN+y6mx86w1VvhBgHBO1HLmg6+C1y+9wtiTOv6v+u/ucEzR+csUg/urqZuFsYL5PbYhZwn75uCJrdPjb7ZF64+2Dk3dQBQfuROzTZbIo/bov3qv/yEfB6U0xM3ex0eXlf3l27mAWkr+a1oE+f3Lmy0teSt+GOCYL2oxzk6j+2BHUPZp24H9xEM5uXTuvB1jm4bB7i8ye75gWUH4QCBO3HMYKmJ0mX907QxHG7Wc+qOehiR9B0Tnr5DzeClh+EAgTtx3GCrl7fNUbQkuKovjOCVmWVZ/FztdvZRwRB+/GcoJl3nz1sHb/rbD0HXWQfcfPY3NhlUgvKclMNgvbjsKATdxb/v+l1uaCUjYXpgJgPpaW22ZvZWfx6dvWQHtFv3eDp5q3lByPvpg4I2o9tQbOHuFSH93mSG5efxhejYLYO6gbI/KEvrXXQ/HTqczcHvbgrJwCJ3gNrYoKgg8PFIkOCoCANgoI0CArSIChIg6AgDYKCNAgK0iAoSIOgIA2CgjQICtIgKEiDoCANgoI0CArSIChIg6AgDYKCNAgK0iAoSIOgIA2CgjQICtL8H5iy3u/aPABqAAAAAElFTkSuQmCC" /><!-- --></p>
<div id="常態性假設" class="section level3">
<h3>常態性假設</h3>
<p><code>shapiro.test()</code>函式可以用來檢驗殘差的常態性:</p>
<div class="sourceCode" id="cb12"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb12-1" title="1"><span class="kw">shapiro.test</span>(lm.fit<span class="op">$</span>residuals)</a></code></pre></div>
<pre><code>##
## Shapiro-Wilk normality test
##
## data: lm.fit$residuals
## W = 0.99538, p-value = 0.9202</code></pre>
<p>由於<strong>虛無假設H0</strong>:殘差服從常態分配,因為p-value > 0.05,代表不會拒絕H0,也就是殘差符合常態分布!</p>
</div>
<div id="獨立性假設" class="section level3">
<h3>獨立性假設</h3>
<p>要檢驗殘差的獨立性,可用套件car中的<code>durbinWatsonTest()</code>函式:</p>
<div class="sourceCode" id="cb14"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb14-1" title="1">car<span class="op">::</span><span class="kw">durbinWatsonTest</span>(lm.fit) <span class="co">#注意,這裡放的是模型本身,函式會自動抓殘差欄位</span></a></code></pre></div>
<pre><code>## lag Autocorrelation D-W Statistic p-value
## 1 0.01099141 1.965705 0.708
## Alternative hypothesis: rho != 0</code></pre>
<p>由於<strong>虛無假設H0</strong>:殘差間相互獨立,因p-value > 0.05,代表不會拒絕H0,也就是殘差無自相關。 殘差自相關現象在時間序列分析較常發生。 其實殘差自相關仍可繼續分析,只是殘差變異量可能產生偏誤,進而影響到<span class="math inline">\(R^{2}\)</span>導致迴歸模型被拒絕。</p>
</div>
<div id="同質性等分散性假設" class="section level3">
<h3>同質性(等分散性)假設</h3>
<p>要檢驗殘差的變異數同質性,同樣使用套件car中的<code>ncvTest()</code>函式:</p>
<div class="sourceCode" id="cb16"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb16-1" title="1">car<span class="op">::</span><span class="kw">ncvTest</span>(lm.fit)</a></code></pre></div>
<pre><code>## Non-constant Variance Score Test
## Variance formula: ~ fitted.values
## Chisquare = 2.715134, Df = 1, p = 0.099401</code></pre>
<p>由於虛無假設H0:殘差變異數具有同質性,因p-value < 0.05,代表拒絕H0。 <br></p>
<p><img 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" alt="Residual homoscedasticity" /><br></p>
<p>我們用一元的線性回歸圖來解釋:<br> 圖上X是自變數,Y是依變數。<br> 殘差不應該隨著X而有所不同,理想上如同圖a,誤差有等分散性。<br> 但如果在不同的X有不相等的殘差變異量(此即誤差變異歧異性heteroscedasticity),如圖b,此時表示對Y的預測而言,可能還需其他自變數來解釋。 另外,當研究數據具有值端值存在或非線性關係時,非同質性的現象也容易出現。</p>
<p>推薦參考: <a href="https://www.r-bloggers.com/how-to-detect-heteroscedasticity-and-rectify-it/">r-bloggers</a></p>
</div>
</div>
<div id="asd-a-standard-deviation累計圖" class="section level2">
<h2>ASD (A Standard Deviation)累計圖</h2>
<p>檢查完這些假設後,還可以用殘差來製作ASD累計圖,概念跟上方的殘差分布圖很類似。<br> 因預估值的尺度不同,分析後不同的預測模型殘差尺度差異會讓分析者覺得缺乏一致性。<br> 舉例來說,預測身高和預測花瓣長度,尺度不同,殘差次數分布圖上X軸的單位也不相同,如下:<br></p>
<p><img src="data:image/png;base64,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" /><!-- --></p>
<p>我們可以使用標準差將這張圖標準化,變成累計分布圖(Cumulative Distribution Function)來比較。<br> 如果各位還記得機率分布,這就跟累積分布函數的計算如出一轍!因此我們也借用R中cdf的function來畫圖。<br> 作法:將每個殘差除以真實值<span class="math inline">\(y\)</span>的標準差,取絕對值,並且畫累積分布圖。<br></p>
<div class="sourceCode" id="cb18"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb18-1" title="1">std <-<span class="st"> </span><span class="kw">sd</span>(iris<span class="op">$</span>Sepal.Length) <span class="co">#真實值y的標準差</span></a>
<a class="sourceLine" id="cb18-2" title="2"><span class="kw">plot</span>(<span class="kw">ecdf</span>(<span class="kw">abs</span>(lm.fit<span class="op">$</span>residuals<span class="op">/</span>std)),<span class="dt">main=</span><span class="st">"ASD chart"</span>,<span class="dt">xlab=</span><span class="st">"Residual/STD"</span>,<span class="dt">ylab=</span><span class="st">"Cumulative distrubtion"</span>,<span class="dt">col=</span><span class="st">"darkblue"</span>)</a></code></pre></div>
<p><img src="data:image/png;base64,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" /><!-- --> <br> 當取線可以越往左偏,曲線下面積越大,表示殘差越小!<br> 最好的情況是,在X軸上從0往右,曲線能快速拉升,表示大部分的殘差都在很小的標準差範圍內,表示模型極好。<br> 然而,如果預測中有殘差較大的(已經大於一倍標準差的情況),那麼曲線將不能再一倍標準差的範圍內達到100%。<br></p>
</div>
<div id="補充誤差error與殘差residual" class="section level2">
<h2>補充:誤差(Error)與殘差(Residual)</h2>
<p>誤差與殘差,這兩個概念在某程度上具有很大的相似性,都是衡量不確定性的指標,可是兩者又存在區別。普遍上是蠻常被混著使用的。<br></p>
<p>簡單理解為:<br> 誤差<span class="math inline">\(\varepsilon_{i}=y_{i}-E\{y_{i}\}\)</span>為 觀測值與 真實回歸線之離差,但是真實迴歸線是未知的。<br> 殘差<span class="math inline">\(e_{i}=y_{i}-\hat{y_{i}}\)</span>為 觀測值與所估計出之迴歸線上的擬合值的偏離,所以是已知的。<br></p>
<p>誤差是指樣本對母體(無法觀察到的)均值及真實值的均值的偏離。<br> 殘差則是指樣本和觀察值(樣本總體)或回歸值(預測值)的差異量。<br></p>
<p>誤差與測量有關,誤差大小可以衡量測量的準確性,誤差越大則表示測量越不準確。<br> (1)誤差分為兩類:系統誤差與隨機誤差。<br> ①系統誤差與測量方案有關,通過改進測量方案可以避免系統誤差。<br> ②隨機誤差與觀測者,測量工具,被觀測物體的性質有關,只能儘量減小,卻不能避免。<br> (2)殘差與預測有關,殘差大小可以衡量預測的準確性。殘差越大表示預測越不準確。殘差與資料本身的分佈特性,回歸方程的選擇有關。</p>
<hr />
<p>越寫越滿了,原本沒要寫這麼多的!邊寫邊訓練腦袋</p>
<p>資料參考:<br> <a href="https://rpubs.com/skydome20/R-Note5-First_Practice">Skydome資料分析筆記</a><br> <a href="https://medium.com/@chih.sheng.huang821/%E7%B7%9A%E6%80%A7%E5%9B%9E%E6%AD%B8-linear-regression-3a271a7453e">Tommy線性回歸</a></p>
<p>如果內容有任何問題或錯誤,歡迎來信跟我聯絡唷! <a href="mailto:[email protected]" class="email">[email protected]</a></p>
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