{"cells":[{"metadata":{},"cell_type":"markdown","source":"# We will define a function to calculate Laplace Log Likelihood function","execution_count":null},{"metadata":{"_uuid":"8f2839f25d086af736a60e9eeb907d3b93b6e0e5","_cell_guid":"b1076dfc-b9ad-4769-8c92-a6c4dae69d19","trusted":true},"cell_type":"code","source":"import numpy as np # linear algebra\nimport pandas as pd # data processing, CSV file I/O (e.g. pd.read_csv)\n\n","execution_count":null,"outputs":[]},{"metadata":{},"cell_type":"markdown","source":"# See below the metric defined for competition","execution_count":null},{"metadata":{},"cell_type":"markdown","source":"![![image.png](attachment:image.png)]","attachments":{"image.png":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAAsQAAAEjCAYAAAA1/BckAAAgAElEQVR4Aey9bWsby7vueT5gf4V+JQx/T0BvLPaLJhARiDBLE7AIWOQEGSxyMApYLDzKkJFnMvLJlplsGRY9e4J8MjRkFAgyAYGhwTQEruGu6ofqVkvyg/wg+1qQ5VZ3dT38qqr76rvuqvov4H8kQAIkQAIkQAIkQAIk8IQJ/JcnXHYWnQRIgARIgARIgARIgARAQcxGQAIkQAIkQAIkQAIk8KQJUBA/6epn4UmABEiABEiABEiABCiI2QZIgARIgARIgARIgASeNIEpQRz4Pvycf8Gf1eEkZViV/M7kLbgvfPgXs7gHqp6C1OUA/mSE4ekIEz99JRWMP0jg0gR8eCce/DB8qm/NbZ+XTuDmAf9IX4jae4CR62I8s99cPblUma9+++w77puf4pb3vNcs1bMpwpotRYp5eFHOnXlwvfGc51Y2oiX/Fqaz8rzkpJYV3cTtor3fRsedAEj3t9w08tjnBuTJuyUwhvuxBy96WN5t4jNSM5+NM4Jc5/QK9rPLFDMjiCfobVqwrOl/rdPLRPcQwgzRsixcLb8+Rq6HyZ0/SHVep3lX0PsNBG4T9vMuxjlY/a91WC+Sa4HXQWXNgrVWgvO8hIJlobDZgbdEYZCTDZ6aIhBg8t3F6Hzqwmqe+NFBySqh80Oyn+5bwz0L1t7w/st12oK12YPICfgD1G0b9ZNLvpXOR3C/TzC76+tn4tWeJzlIctK5d37CLedZH7EcH5Zh7bi5bLy/i7B3k2vjrw04tgX7mQPHWYdt2XDeDXKfXTl0lnZKmFaOVEtYWpy3GZF/Uoe9UUf3ZIDhrwBI9bcZKZvtfUYQnr57Av5xDcV975IJ35Hm+N1DxWph2U/pVetnl6yU7KQ6/fBfpQfKdEHTL+3p63ln5B4tQvOu3t65BXkNXDRtB91f2Rz46G8ZD/6zHqp2Cc0T40XwZ4LBbgn2674WCtko+PuWCCxJQN1S7m4Wbbq93rugiwpzE4Gw8N4l1WdOOvfOT/I072X5q4uy1YA79bXgoV20Y6NDcNpCya6i+8P4CPFH6L62Ufrg5QrqqOqW/XfVXtSTo8rVPypz2tKyOTK+qxKQPpH3rp4Vzx1pDgriWRWQez7XQrxIEMsQT3O7gsp2E101zBPFPcZgv4vh2Qj9/Toq7wazxZg/Qv+ggdrzGhoHfYyMZ6nE5v/oo/O+jspmHc3DwfQQ6Mz7w5f2Nx/DQ4m/gvp+H6NZllJ/iO5+HWWriOpuG+2v2h47/tpG93SM0XEb9c0GBhPAP+2ifTiMh48lnzpcOvOz+UScor9pgRGdNf96+0UU/858dZ73UbNq6CsrpI/BWxvlT3l2ZOmkRbQzt+v4w7qaTOAeaM7t4xECBBifdNHYCrmliwbM5B7meuKiux/Vaw9exlI6Oe2hvV2Bs9VAR6Wn71vIVtXTAKPzIbo7NTgHSaFm8o7ukTzv1VSa3W9SIB/ekdRrDY1DF5OMO5Bqe5JGmEcTQVTf/jdh5KC200XSBYRpE9WihfJ2e6qtmPUaHwfSV7oYZjiNvkZDqDrkzDKGbTBqtyFNDA/bGEx9SAFQ6fXgGSJHytQ+MoRL4KG339OjC4phF0MFId1e5wk6VZ9fxwh+9lV9X+VZMY+/Kt9kiJ48XzbrUG02JRCkDjJln9FmVR63y7CKVTSz98QVFAniIHwWVFB/b9Z5HBCz6mhWOhG/qC1Vttvo/zQqJok6OZrTv6aZt9E3RWoSiz5aJIihP7zrX80eAMBro1hsQ/fAETobNhr/5ORbPafqGGRuT7LhY3TcSd4lJ+NEPId9d3wRvkvCus5GFT1PInYLBfGfCdzDdth3O+h9z8aY5E4dqfBN1Ddn1PuMtqXunVsGeT+10XxdhPWirlwmVH9N9bcwL3Pbuw4zu8+Ez/nz6H2Y/8xb9FyfHX+YR+OPfkZOMHE7mlv4/g3OBurZreoq2y7ncZS457R7dXnGewV5PH8NkmdzWEdXeq8YZY0PU30iPPtngqF6z8h7opP0bZXmtOaQuxTnGbpn/rsnTNMfY6B0j9TzEP7ZtIV4dhphW8nRb1fuZzGY1Tq4oiAO4O07KLxsoe+6cN0+Wi9NK4C8MB2UX1XQPBrMHor83UdtrYT64QCu66K/X0FhrQk3FK3iDmDbZbSOh/C8IXpZS6e6v4DKfl/dPzioGffrl3bJqaF1LHkcoPu2lHIvSFVRMIHndlCzHDS/uHB/6gekPFidFxVUdnsYhO4U6ms+GpoNI0k/gDN8RFg6BVQO88SqRJAWGKl8RT9yOpoMzVjbg1CYD9EU6/ZZdMNl/+q6qojoO3HhnnRQtW1UtxpoqHoJuZnlXVBv8qKU4XWpV8/zMDiowt5oxeJL1asMD7ojjH8O0HpZQPVIs1nIVn3pllHeqqEj9arqaQFvdU8F1XdN9KS9HjVRssqovYnahm6/xb1h/CKeHNdQUEOYun23NwsoGEPDql28rqH2Qbe9/ocybLuOQfhxMnL7aD63UPvozm7/qSryMdi2UDs2XsxqZKAcjgxkyjjV5wDJU9p1IRJxqYTCH3Itse4BY3SfW7BsY1jttJW46oQMxYUn216n003S0/VZRW0zfFacdFHfsOP61nFNPysW8Uc4GhI/Oz5UUHtdSVwmsn1qzrMi+O3B/ViD9bypnmf5bi6aZeV1DZWwzgeHdWURTfrc/DqalY7it+HEbUnFa0X1nrCMjxb0r4h5410XA9eFjq8044MYwEJBDKhnzVY/ZQRIfaSrF27zGkOy0u5t2PIuOfXgnfbQlPbxJRzlivtuA131fJL2Y6FkGAfGR/J8EXeD8F20WUN10xg5i8FFBx7aEsfbLgaeB08980pofc8R83JL4KHtFOCEPOX54axVkhG7zPMwahd91VcAzC2Ddq3qv3dgvemo95hqf6n+Bixu78D8PqOf89Wt9DPPjt8fkk95H896ny6KP2Kb/FXPSDE2HMj7fYDOaxv26xrS7dIYkc1wzOqBm7xXojrQz68wj+YHtOJ9xfdKUtT4aPKlmnEv0u1b2pr7c4zRSQvltap+T8/QHIt0j+I6890jc46GaG3YKBvPqcrrKhxjFGh+GrqtZPXb1ftZjGXlDnIFcfF1U32xiqO/+hdZRVXjiSyTYVkvXDTs6CGuBV79ZMYDJrxFHqhZi6Y6FwnHizFGZ0YcgYuGVUU/fFaqB3LKVydQFr+eerDl5EHdb3TAqWqSe9LX1cvq7SAWSnLLQtEmFhG7EQt7lYw618wZdpSrOq/Kmhixlr+hlVpnM2vl1YKmGY1jqjoxxIy+6RL/12mblp3x54ohtKXAfVSNIdOF9Rb4GP0yhJ0SWzZa33V2hGnls/FxcD6JLf8L2apyOuj8NIq2iHd4j+lyMnxvpS3u3w3xB2EdteUonfS56XahBVNiRdO/r+JzGvzTMARd6Dse+Ycv7HNXFcSA+Ibake+vxL/ZQmszGUkQ/1AnGnFQ6Ud9Q7eZqGyKRRRPhCv8q+oz2xdkCN6O+oKOK/2sSLPWUZnnAri72dGQAO6ObfBL53H+syIUheZHX6YcgK5PO+NLO/5UTnxoL1FHSnxm0pluS1KWOYJuQf9SzJ93MDLKMNyz0+3duKYFcRl189mTtZSLT3Y8GiU3D9GKn/eX4WcmmD4OzkZx/5crqh9ELl6Kaaa/y4daZJlOfTSG8ap30Rx+COD/HKfE/fiTA/tDMtpk5jDvY0Csnu0T/QxTbFPvIWC6XcwpQ/ROMftQqr9dpr2b/SPKvXkup5+pNBLL/fw+YsaVF390Lvmr2rXZX9RHU5Ke9Kn+ayseVbjN98rlBHGmjha9V5KixkdS5vRIrnBPG6r8ydiY7B9ejz6eJKYFumf6eZF+96jnusldRg8/ldNuUXPTyGkr1+pnMZaVO8gVxM57bf0S6636F046ST2w4qJqC5cWBBpo9MKMg6QOxCK1roaq4/jFSixfymZlBj7Gngv3uIv2+xpKsWCV+5OXdypq9SMvDzmNL3Xj9HXV+MwHVfTwynmpRS4mWti0lXUmKZu2PpuiLEla51VZEyPW8je0UkfhUgImJSoiK8R1LDTTnNQLNVVmk8sl6+1PgMnPIdyTHjr7DZTtZIKj/jp1UDvoY/hzYjwcLvGxkXpRaDILeefcI/Ua1ZeKRYUJPyh+deH8q4GuWRehxTf6cMhrF+k4ry6IoR46kejUL8HIYry4z11dEEPKGQoLqRMRv9LGtAjO9K8Uw3SbyWMRtVnVliJxE51UH0hR303HpYIs5J/JWxivbgfhpLqUhTg/fJwdOTCtRakL0Y/0Syc6a7oNXKaO8tLJ45duS3FqycGc/qWYZ55P0306iUoL4ho6qfaenRCq22PUZ9RE3+hjTaISfq961548F/hjePL8F/eBrVLyYZNqd2Ges301EsdxkRZ8UIThAlmJxx2gd9BG46WdGV2JItNxJR+60fnor7St5GM/Omu2i1wxZpYheqeYz9xUufPbb6q9L+wzOf1M9ZHoeZOfRlyehfHHIeODqXadKbMETNq5pH8JPTCn3c97r+TWgdnnU7x1ETTfq7zHzfJEGMIREEdGNIcYTc3YN9+t0T3yVThL9+Q95810Z7RXqT/DQqxSmplGTluR+6/Zz4xSrcxhriCOHn7ZUqhhgffT8xXF6qbvyQGajQQeWnbor5uxTET+ueMvNRTsdVR3xA+zD9frabcA9TUl96e/vNJJ5OVhRuOLb5y+PtWpo4dX5oWTdGxA8Qn9wWLreljGXH/O1Ms7zsz0gRLBWrSlxLEKKTxmO/PPXjppmtP0y9PksrjeZHKNYxdQ3m6ifdDD4NRF51UiiCW7/i8XPfEdl5notoPWqR4JyHuZm2zzHmwLeec87FJxSobMh7VYi0N/0mz9dU8TV5q0e4L5UJIIryGI1QvCRllGSJQ4TkZhFve5vAflojyI1UfajDy0Q4EqDz4ZRhUe5gMwxTDdZvL6iGqSUV8xP3DVBTNf6bjU5YX8Z7T1b81ESKX61KJnxeUFcfNbVLLwr+Gbd5k6WoYgXtS/8vrQdJ82yiHCIPuyNC5Hh0oEq+deWhyr65lRpOie6O/sJevG6G8VYD+rorHfRvfYhXdk1GOq3YWxZftqzgo8ybsoyoHxV4aUHRuFF3U09zvonQzhHsya1KatmFP1Hkc3o20Z7SLvmZV63kT9ZKYgvkR7X9hncvpZShDPKEdUzoXxRwGTv1PPBbPewmDJc1jSn68HFrV7iXLWeyW3DhYI4oXvlaSo8ZEqjzn6qa74GLs9dGQ+yjMbttPCMJ7LZL5bdTTzdU/ec95896St7nHGzPYoFuO52iqnrUj9X7WfxYmv3sGVBHHq6zcuq/mlnAM0DhcdzKi46LIato6sSOHJlMuDtkhHFrv4tnhdvLw8TDe++D51MH19qlNHQ3pZQRx/DACY0XjSaZm/8vJqXo+OZXKLjaY7QvdFhg0CDPeKKL5P/GCju6CGEGeJ5em0p1+eJpdF9abrJbJs6jxI20gL4jhv8hCTpeNC8ZWyeoSBUi+3vBfkIt459yQP4jAR82G94OUud+S1i3ScpugzS7vgWHzFX3QxEvcJU0jm+JBrv9/EOiXDvmmRPkYv8yGSTV3cIiqfumjEvsMikhvoHdUTdwq5KcUw3WbyWETpqLaUfZCmXJ/Scan7FvLXbTBrtVPlj/ulGe+iZ8XlBXHsQhIWMGUVvkQd3VwQL+5ftyWIEbkS/ZBVb5KPNY1Ct/eUK1TUCGauUpGdmKdvSD0DUu0ujHCqr5rD8BJGP29mGXTU8ybjDz3dd6LMAynXoeh0EK0Nr+sj2xZT7WJRGRYK4ku094V9xuwPUSHkXGQhXtBHFsYfxZn8nXoumPUWBkuembf7XhEDQyMua5i4+QGdV0eL3itJUeOjee1IB5LJ76ZbhVkHEkKev5l3eybvU1xTlnbA+zDtHqXaY/zRuyiNnLai6v9q/SyGsoIHVxPE8sB5YaNqfAmNP8vEhmjGcQ7QHChSSTLZSs9cB/BnjN5rmWAlTsLygLXRiNcRDTD6VIVtNOqp+30Xzbgx5eUh2/iymZLrTrjWqr6W1/hkqLlsVdBRM2QDTE6aau3N5AE8zcf/1kLpWQvDzEoGYSqXXjNZ/NnsjZIxu9soQ+xM78ZrKQe/XT3h0ZgwZtwhXWkq7fmCWPv4za43EYs2yh8TD0b/H5nEFgliXa/RJDrJy/jQmAy1iG3egyunPaZ459yTPIhDGqmHtQw72SjtGSuJyCQumQwR+nrltYt0nFogpF+UsuZkdig6XRv6gVhCaUM+fAz/+Zwypvtc6HNc1Cuh4I8P75OMsETcs+mEv8Uf07Zh+sYO9wrqXCr9FMN0m8ljEaWm2pJlPit8DPdKSCbzpOPS9y3mr4ZHzWfHWQ+1tdk+xPOfFaEgFr/b3P4pudL1aa/Vkomrvp68ktTxdL/P1pESxJl08vil21JEU/+d37/y3Y6m+7QR5yUtxHKH+HmWNkrpOQZRVNFExyMPfsjR93qZSZRR4PCvtCu7kaxAcaGXaYvWQE5/iBn3xC93EXLpvjr+rNt98jzOpClt/oVR1+cumhvZCanGPWpkLpwIJaf/jNHdTCbATretTLtI9Z28MoR1NtNCrI0GqWfuVHtf1Gfy+pmciwRxznM99T5dFL/BKzycatepZ6wOZLbzKY4pPXDD94p6flqofBwp3/Hg9wBNx3he5NVRzjM39V6ZLjIgItt0HVLte7rtJG1T6sDUHIt1zxTXjCBWkw9tI015Tjk27LjPLEojr61co5/l8VmRc1cUxADOh5CZ95ZdUC/dwosW3HjJqDygeSQCjI70Qu6FZ7KIewHlnWQR92iTCftZCet2AbUvpsuExBdgdFjDum2hsCZ5WUftUJYMk//y8iDnkgdAXo7UUIIsUh/Ovs1rfJKud1BRm15YsvD8hyEGWZ/UmM861tdkofoqOuYaV6nE8/KaCpD8UJNbLD2snpxNjiTdv4RluKmKuJzsG8IuCRkeTac9/fLMcptfbzgboCEPm7USSmvCp4fOpiHMwuuyeH9J2DgNDOLVMRawzX1wme0xh3fOPeaDWIFQYYxJiRcj9N45qk2uP5OylNEwJjnmtYtsnHqIz4qt39ImL7MSiLIyxBZbo8LiNpXX5yTcGAOVZ6l76S9DtcHOfF9+mRxlIRF14aQmYxJlwifqO+k2k8ciyrVqS5sd9D44sNfWdV9NbRSTjiu6Dwv4J33Qxvqzgh6GPDE25pjq//OeFZqdDN3LBhUmizg/kQvMSTjcHj6vKgfGMnUS+BJ1lE0nj1+2LSX5kBUH5vcvzTzypdZ3TvdpI8YrCGI1OmhlP9aSuIKfPTReaI5qsw/pN0fRMzkJlxxF/d3G+sY65IOj//kKLhMS0YWHjnoXSd+f8TxOEjT6SQGlDd12eh9nuUzoG/1/ZHUAC/ZaQb+n9lxjUp7xPJx6D2VHV8KMZJ43U/Uz9cwyOOW2d+Ew75mV189ynusz36eL4k8BVj+m2nWmzBIo3c4Njjl6YFG7j67nv1dksZBw0ypL3jktDM3nxRTvsDxxf855r0wXWbm6Nay0JVVvVmNj3ZGNsqY3qslqjiifs3TPFNcpjrIMrKGrpE99Sy+7Nj+NvLZynX6WB2g1zmUE8RUyvZRtR2VbwdnbLM/2P4vyGd4f/XxIf4XPfewheifbei6ut3lFV37NsS/Vkipt2bxlaHReIa6SbfHjMv1yZ9wr/uFzdzpaSp+bkfiST6fEWTzMfIVEFvG/cjtfzrNi4TPpDupI9R9zEOEKWG896KJ6y2bgyvWYjUBe2JEbQ861vFNXzaOa6zT7PSUfaeo9lpfWss5dhtM1ypXO3oJy3Dj+dGrTv1b5vaJdF9Mug1LC+WWaZiDz6ua1tbw7sucW1OPC9pyNL/x91X42I5qHfPr6gvghl4p5I4GHROBbM+2Xm8mbEjhi/Zta8i0TcIV+pgTxCuWbWSUBEiCBaxH43Uf1leGSc61IeNN9EqAgvk/6TPtJEJCNGfI3fdDFHx1W4Tyvoa120XscSCYydDdvp8rHUUyWggRIgARI4JEQoCB+JBXJYpAACZAACZAACZAACVyPAAXx9bjxLhIgARIgARIgARIggUdCgIL4kVQki0ECJEACJEACJEACJHA9AhTE1+PGu0iABEiABEiABEiABB4JAQriR1KRLAYJkAAJkAAJkAAJkMD1CFAQX48b7yIBEiABEiABEiABEngkBCiIH0lFshgkQAIkQAIkQAIkQALXI0BBfD1uvIsESIAESIAESIAESOCRELicIJYt+5a1Vei5h8F3/wb4fHgnnrGf/A2iusmt50N0D1xMrhKH2vpStgTO/6cRL9528SpJ3m/Ym9TVTe6931Lfb+rSfpbVWe+3JEydBEiABEiABO6KwKUE8XDPQuXoStJvZv5HByVYGx2MZoYwLwSYfHfTu3z96KBkldD5YYa7j+MA7m4BTffy4kNtZ2tZsHL/VdD7DeB3DxUrPL6PYl0qzZx6ybvvJnV1k3vz8vLgz/kYuR4ml29O+SVS7aeFYf5VniUBEiABEiABEsghcOeCOCcPc05N0Nu00DqdE+Q+L522YG/1r2etPm3BsnKEy0oI4gdeL/fZJq6d9hCtZXwIURBfuwZ4IwmQAAmQwNMlkCuIJ6c9tLcrqGy30f8ZIM9CPHG7aKowTXTdyHo8gfuxjcHPNFD/tIv2lxHE+KWOD4eJiPwzgXvYRmPLQW2ng17sTjHGYL+JatFCebuNdnSPP0R3v4uh4XXh/+ijs1ODs9VA53iUxB2l93WM4Gc/KdMP4+Z0VpNfExftLQfrdp5FNxSygYvGdUXMIkH8c4T+fh2V5zU0orInucO8MhvBAAjHLoaTCdyDOiqbdbSPpS4CjE+6aGxVUN/vY5RF4o/QP2igJukfmNfz60XV69cR/G8Sp4POd4F/tbpK5Tt7758Jhkdt1Dd1O5F2Ofe/mfkP75pzPS7Ljz5aql12MTwHcO6hJ3Wy1TDafFTOAcYXYZ1t1tE8dDH5k+Rw/LWN9tdxcgI+hodtDH5F99dRtoqo7mbCqf7RRH2zgvr7LuKuFsXkjzE4DOtJ2smZjDDkfGhF4SU56S/vdVtoHkq+jYvzOJ+5aL/vwjPDG7fykARIgARIgARWlcCUIB4fVWFv1NE9ceG6fbQ2a6humi4TAbx9B4WXLfRdF66IKqeAyqF+2Xt/F1Hc9wweY3Rf2LFrgXIb2OyFvrce2hsWSm+7GHgevJMOqnYJre9KOmPk9tF8bqH20YX7faIEddalYHJcQyHO7wDdtyXYr/uxb69Or4rGuy4GrovBYV25XLTNLBq5lcPgtIWSZcN500Hf1XGKm0PtQJi4GP6M1KO2lDb+WSDOMvGrn3MFcRGlzUZSBy9t2LuuLj+AdJn7aG8WUDCup5MTy6OjRFxH6lQxtlHdaqBxOIAblS+uE3Hb6KO2VkJdXXfR36+gsNaEq4SQDO1P14vi/KKM2pYwC91cMtZule+1CtrHwnGAztacfKfu9THYtlU7cX+OMTppobxWRe8sXdL4l8p/AZX9vqqvwUHNyP90+VSbsKvoi8uK8D2qwNqsovG+p+7v7ZZgvaih9iZs88ctlO0iWqdhvYd5rW5V0ArLptthD5EElo9Ka890ZDCs7MEEnttBzXLQ/OLCjdpX4KHtFFD+EJbjsAFnrYKuiGj572KI1oZtXK+j8roKZ44g9r/WYdtltI6H8LwhpGxJf5nPOXCbsB+Eu1JYfv4hARIgARIggSURSAviwEXTLicvXEnkwkXDNgTxeR81uxGKozAX6lwTyp32Vxdl27BQqd/htVhsRII4gP9znLLojj85sD9EatUQDVGBU0JpiJZdRFrc5gjw52mf5eGejeLfURpRxOHf331UbQulPcOKjSGaloX1lNDX4fOs55kY83/OFcQOOqaV/VfXEDke2sVMHSHvXJSsCGILpmgff67A2h4k3Cd9VK2Grj8A3n4R5U+RlNPxqHPhRw8wXS9KRGY4pz9eJI+ZugrE4trLtzhm61ks8YYA9idjBIYFNiqt/JW8pj/KAnhHbfTUhxag6j9Tl+NP5fijQ5elG4tZqPpP5937YMOJGKm82inGYpk3PwTnCmKV+WmXCf+4Bnsn+RCSYOpc+PEzPixPXZdy5LriRIAuxhidGR9wapSjir4a5AnzcEnOUZT8SwIkQAIkQAKrTiAtiEV4FdtIS8UA7k4iiIN/GrA228raKtZS/U9bt7TlSguByO9XXtqmONHWt0gQa3zBZIShO0DvoI3GS9uwpE0Lr5TIkvzarUx+AWWlDgVvXnrqXMpal1SjiCXLqoUCITyvRIMFO+ee2xHEmUl1SnCFHxlS5n/JkH3EXv5qi60peo0SKUEc1Yecny6/KcbG6D5fR+PQjN9F/70DKxZn0/WSx3mqrqbaVpLLqaOUINaWS9upoXM8xGjuzDPJf1q8puOW6zZa4tJh/ue1UQzzN10Wk4++KcVQ5TUSlUmk8nEXfXhdXRCH/W5frPhGXXyswXouYl1fr3+NRivCdFMfT0leUkeBj7Hnwj3uov2+hlLs9nMVzqkY+YMESIAESIAEVppAWhB/b8FWL9t0mYbvE0E8+VKF9aKO9n576p/yhwwFlx7iF3GcFicpsSFDvo6Nwos6mvsd9E6GcA8qlxfEkt9XybB0lGtlAQ3Fayq9MEBKzEQ3qb9ixbRgvTKtg2JybKMoLhPHGfEBsTYmbFJRLfox10I8RxBLmYtVNHP4d0+n8yfWTbEQX14Qe8rqrnxZs2nEvszXEMQz6momppQgllA+xm5P+4o/s2E7LQxzfVkl/2lrcjqNGdcN39vpNnMZQZxY2KP0zHZ2dUE8Qf916D+frYf9AcbQ16c+goxyRPkw/46/1FCw11HdEb/8Plyvh2YsiCXkZTmbsfKYBEiABEiABFabQFoQq6HzOgYpXSUWNUP0zRDNKQyRC0iYcr0AACAASURBVIU3bXE2xYb4M1qZVRrEqpb4Wk4Lr5TV0R+gbmXzqy1n1S96op+ZXpRHU6hE5/RfEUsWrPemr6dMKizCyrqJqBvEomYhSisd14Jf1xXEGfeGBamIZL+iIJ4htFIJTddLHufpupoWjYHvx77RqSSmBLF51cfgrRVbX80rIuikTqaEYryWtr6etayqkY/Q93y6LJcRxE7a1Si04EZtI92uJcdj9F6ZHyrTaaTcMtKFVL/kemSBji6rcsz0Ic5zW5k3MXQe5yhF/iUBEiABEiCB1SeQFsRKTNgp/9nxZ7EoGYI49I2sfk58TP1vLZSetTCMfTr10Gtpo4hy7HeqYaXEhixb9qKDUXTfuYvmhjn5SAuvlHhJCSURv+n8qrzYdQxkVYDIPcCcMBady3F/gIiYXRuWYXVW8VkltL6lvhJ05Mp317SAB/AOm2j/k7AJA07/ua4gVkIrXWac9VCVSWbhpLB0YlcVxICIKnujlazk8WeM3usCqvFa1NP1kqrXKAOL6sptxm4K0S3xX/NeObaNSXR/xuimJnrGd6mDqfz7LpqG//L0dT05LWpn02WZFqsqTNSGVF4t2K97GIdtOdsO1YS0YgMD+U7748P7pPtVYrmXNJz0+trK/94ot6xMsVfC+ofwg81ro2Ry8fWIiz1TEEu92WicRG05wOhTFXZkIV7EmatMpBsaf5EACZAACTwaAhlBLJPoPHQ2C7Dsdayv2XA+DDHIugWcD9XKBjqMBftZFR3PmKgjKzWoGenZyV/RDP7Ih3iMwTsHtlVAaaOghsF7H02XCb3igyNW28j/1BRKUg0XI/TCOAprkpcausaSXNPiJs+H1qhPiW+nrFZ5aLwpo7rdgfs7XbY49JTPtbiIWLDfGhPW4sCZg2sL4nSZ15/ZsNbKaKSW9DLTuroglg+D0VEDwr3wbF3VT3lHhumT/2QlDrNe8jinLMRy68UI3Tc6vry6SmKf3qBk/FXyY2PdKaEgK4C8S+cnda/k/7CmlswrrOm2XDvUy/7pcEb5cq5Pl+UygriCzpEwKUDXSSXTJ6K2Lsv4FVD7MpxaY1u5M8imLcaER/9bGxXVrtdVudf/6qQmIWouYT2t1dD/Nn/ZtcDrhPGVsG5LPtIuE/M4c5WJdCvjLxIgARIggcdDYFoQR2WTIeZcH80ogAgc2YJ4hlg0gi08VFsa3zCeZcSxMKPpADJhMGsBT4e45V+3XuZwG+nIgr+s4lw731fNTxh+Zr4XXZ95Y/pC6iNN4rxhW07Hrn6Ja8nsaK9eDuWqMrNew/hmXs/JIE+RAAmQAAmQwAoTmC2IV7hQd5L1iyGaG5nl5+4kYSby4AikBPGDyx0zRAIkQAIkQAIksIAABfECQLxMAgsJTAZoPA/9gxcGZgASIAESIAESIIGHRoCC+KHVCPNDAiRAAiRAAiRAAiRwpwQoiO8UNxMjARIgARIgARIgARJ4aAQoiB9ajTA/JEACJEACJEACJEACd0qAgvhOcTMxEiABEiABEiABEiCBh0aAgvih1QjzQwIkQAIkQAIkQAIkcKcEKIjvFDcTIwESIAESIAESIAESeGgEKIgfWo0wPyRAAiRAAiRAAiRAAndKgIL4TnEzMRIgARIgARIgARIggYdGgIL4odUI80MCJEACJEACJEACJHCnBCiI7xQ3EyMBEiABEiABEiABEnhoBCiIH1qNMD8kQAIkQAIkQAIkQAJ3SoCC+E5xMzESIAESIAESIAESIIGHRoCC+KHVCPNDAiRAAiRAAiRAAiRwpwQoiO8UNxMjARIgARIgARIgARJ4aAQoiB9ajTA/JEACJEACJEACJEACd0qAgvhOcTMxEiABEiABEiABEiCBh0aAgvih1QjzQwIkQAIkQAIkQAIkcKcEKIjvFDcTIwESIAESIAESIAESeGgEKIgfWo0wPyRAAiRAAiRAAiRAAndKgIL4TnEzMRIgARJ4SAR8jFwPkz8PKU86L/6vIYZnwcPLGHNEAiTwKAlQED/KamWhSIAESGARgTH6W+uofh4vCng/1y+GaG2U0DqlKL6fCmCqJPC0CFAQP636ZmlJgARIQBEYfyrD3u5jcgs8xp8cWBs1NPfbaGf/HQ7hS5p/xhjs1VD+q47GdhnOXy0MzjKZ8dooWTX0zzPn+ZMESIAElkyAgnjJQBkdCZAACTx4Ar97qFhldH7eRk4DuDsWLCvvnx1apCfov7ZhbXYxDt01xp8rsKwKer/NPElcNtbfD0E7scmFxyRAAssmQEG8bKKMjwRIgAQeOAFvvwjrRRe34ywxRvd5HQNlBk5AjI+qKL13tXXYa6NoWagcGfbpSR9Vy8L6By+5CUDgNmFbVfSNoKkA/EECJEACSyBAQbwEiIyCBEiABFaHgId20YLzcXQ7Wf4zRHu7nxbb4vqw0cIwFMne30VlQW5+M7MwREusyv9qIyWJAxcNy0LtOKOwzVt5TAIkQAI3JEBBfEOAvJ0ESMDH6KiBykYhd5g8ZQV8krDGGLyrouwUsP5XB97ZEO03FdTfN1B+Vkbjyxj+2QCt7Qrq2zWUN/S5rIvAxG2j5pRR2xG/2za6h220v5qi1sdwv4bq2wZqL8poHLkY7NdQkzhfNjCIXBF+deFYFuon2RTCyvkzgbtfg/PMzq3P1ukVKzHw1OS4dqxyE5eKXEFs1TG4MNMQi7MFa9c1T/KYBEiABJZKgIJ4qTgZGQk8NQJj9MQXdK2C1tEA7nELZduC9W9N9FwXrizpNUN3PWxSI3T/cuA8v+y/Kroz/HFlyL/0wYP/T0MLzI0W3HCS2HAv9LN90YYXGkD1ufREMnE3sO0qeuGkM/+4puKy94YhxgDeBydeMSI4qavrxQ8evIOSOo4/TE5bsKwiEoFq1IRa2cGC7dTQOXYxOKyjJFbbrQ5cqc/TEfwrLtHm/V2C9XagXSVUUhP0NnW58wVxJS6nzpmPwbYF61UvbXU2ss1DEiABErgpAQrimxLk/STwZAmICCvBMoSaoNCTo9KCLhfR+RCtzQIse9rfNDf8Uk6OMditomjZaLp3o9SH+w7apwGGe2JxLaL1PSnI8L0Iwwq68eoKkfXUmFymVlqwIOI2+s//qgVvbOW9cNHcSgSjWuUhFL0Tt4X6djcW3JOjcPJanGYUazjRzXBtkCsqj1k3huiWRX/9Aep21hp9VUEM6I+EJiL5vyhZXicBEiCBqxKgIL4qMYYnARLQBNRKBWmhJhe0GDME3RxeKqwxucs/aaBgldD5Meemm146bcGeWs3gppEuuj8c9rdbhqgLzz3vIHF8GKIlFvb4XAB3V4S0DdOaqsX1LMYibC1YdhPDHGvuTEGsuFiofTFnr4UCPZXvRWVNrmtLtin45Vok+q1UmYDQh3jKZYKCOCHKIxIggdsiQEF8W2QZLwk8cgKRlbKZcu0Mh7eLmYlRuSy0cCvsJ5ZP/Ang+7drudVr5JoiNDdzyz0ZrqAgrgNx6cJzidsDgHD1hWTCm54AZ6VEYp6QNrIbTkKztvqGm0JyfZYg1hPdsuI1TH9GXEmseUdhW8hZR3jupLqctkMLcR5fniMBElgmAQriZdJkXCTwhAhMvlT1urHm0HtoNS5/yizo9WeM/k4Vtb0umq9LaJ74sp4WGrHrQoDhhyqcDTte/cA7KKP0rADnTR317RYarx00TiaA10F5Yx0Fp4b6dh2tnSqcnYHeYCLc7KG620Zzs4z2dy0/A6+D2ssGWjsVFNYs2LtuIkxz6+yqPsQVdOdYtYPQf7hi7AoXnYvdHsQ9QblVlNH9Ja4nNTS+/qe2GL8ylkgLGSsh7XVQee8iuPDQFRbuBAgtvZXDqA7G6G014UYT1ZQP8fqUD7H3QSzRabeE4LSl3Esa/8QyXtEKfg3Q2W+j56XPp1F6Ou+ZOFWYvGXXZow4AHk+xD6GMqnwwKVfcRo6f5EACVyTAAXxNcHxNhJ48gR+dVG21tH8FoqiP3qCnf26F2+2oBlp39SCiNDzPmpWKHq/t9REsb6sfnDawvrbLrrbFmw1AWuIltNGRwRi6FKhLJsbHfyfew7aB+L2oIUjlJASNwsZirdRCCdwSXhlff7dR9Uu6HxeDFC3bFRTbgG3X5PaIuqkNsLQ50xf69C3Vtwl/CGaG3X0J6HLxL9FFu1wEqOs4ft5DFlPWFwc9MeJhdLfQ7jvwyXNQsu9TMhz9oyNLc5kU46sX2+03q8xoc2XrZMtlPbCneUMTFo8y+TJKF/GxegwsornCWKE/sqG0Fe+5xl/dB1VaBHPsa7L5h/mB0WUNP+SAAmQwFUJUBBflRjDkwAJxAT8b23UNmQpsDqqL2toHXvTqxAoa2AhNZlMIki5LgQ+/POBshjXxXoMcZ0YofvK0qJWvAlk7dq1Nk59H6PDijpWzhZh/O1/F4GuJ8sF5y5ajqMsxPq+ll7bVoW9ZR/lmE50MEF/y0Zhy1yb18fgrRbvpsfu5KShll2rbNbQ+R4uO+F76Py1DmerjtrLGtruEL0367A3SijLRDrxE/49QEOWZHtTRnV/gMFBFesbVTS2K6jtu5ikfIm1G0Rpah3iQC2fV96ooKGWdquj407yLen+GEO3g1qu2A3LLRPqZIWKWf7HoTXfeVlD420V5a0W+j9y1hqesQ7xxHPRf++oD4OINP+SAAmQwHUJUBBflxzvIwESuBQBZdmdWkki9B/+MMDo21j7uspQv4T7HWgRFrpUaIGsrafaeqwnZeljIIr/v/fqsOwKWsd6ebCJchEw74O2pNotuL6fL/QuVaLVD6R2qntuuGFcp0himd9MVrbIiyL4PcLofJ5bRd5d6XN6p7pa7k51wz2x/KfD8xcJkAAJXIcABfF1qPEeEiCBSxNQvrJ2aKEV2+9pG/XPX9VuaZXdJirv9Bq1Ysm1t3vo7Trav1VZc4t6xQkRX7a2+ALawlk8kLUZRPDacPY9TGQpMiMdnI8w/HWm1rC11ZJlAQZvLdhbHXTeVqFcNS5dikcWULmZpF04rlpCWV84vSLFVWO4THjtBlN8b7h8RLedD1DfaMFLWb+ji/xLAiRAAlcjQEF8NV4MTQIkcGUCY/TflFD50EP/7zrqe32MLoDgbAjXHWIcTvYSP1hb3C/2tfhRlt+1dZTftdHaqqDxNZwkpsRcAesvG2jv1VDZGeiJVcEYvTcl1A4GGBw2Ud/tYSRz907bKDsNtP+uobZVQWHDQTkU4VcuyiO6QW2Yca3VIwD87KA85St+C3BkDWa7gcGUJ0WAwTsHrW9TF24hE4ySBEjgKRCgIH4KtcwyksDKEUi7RZjZ1xbnu9zMw0z9MR2P0d8qPFwfXNk1z6HofUwtjmUhgYdMgIL4IdcO80YCT5aAdosox0uHJSDUJDljM4/kCo+uTsDH6IFur+3/GmL4ixbgq9cp7yABErgOAQri61DjPSRAArdIIFxjdr+N9n4bg19JUv5pV52T8+3IhSK5zCMSIAESIAESuBYBCuJrYeNNJEACJEACJEACJEACj4UABfFjqUmWgwRIgARIgARIgARI4FoEKIivhY03kQAJkAAJkAAJkAAJPBYCFMSPpSZZDhIgARIgARIgARIggWsRoCC+FjbeRAIkQAIkQAIkQAIk8FgIUBA/lppkOUiABEiABEiABEiABK5FgIL4Wth4EwmQAAmQAAmQAAmQwGMhQEH8WGqS5SABEiABEiABEiABErgWAQria2HjTSRAAiRAAiRAAiRAAo+FAAXxY6lJloMESIAESIAESIAESOBaBCiIr4WNN5EACZAACZAACZAACTwWAhTEj6UmWQ4SIAESIAESIAESIIFrEaAgvhY23kQCJEACJEACJEACJPBYCFAQP5aaZDlIgARIgARIgARIgASuRYCC+FrYeBMJkAAJkAAJkAAJkMBjIUBB/FhqkuUgARIgARIgARIgARK4FgEK4mth400k8DQJBGdDDH/5YeEDTL57mARPkwVL/XgJBL89eL9XtGH/9uD+iPro460jlowElk2AgnjZRBnfIyEQwN21Yf2rieGKvheXXRHBaQuO08IwftdO0NusoHc2ndLosArneQkFy4JlWShsOHCeR/+S89arHr5+LMPZKKhwcdi/PSNSDx0nuW4/c9A4iTORhDv30N+vo7JRgIRxnBJKf7UxPAf8f5oovR1gpavywkVTGD6zNSt73WBqnLcsNL956Lx0UFrT/C2rgNJzB+3vCS54HTjxdRvrTgODc+O6OgwwcbtobDlYt3UcpY0yGkcjBBcjdF+X0fmZvWf1f0+OKqh8Hq9oQcbovS6gerSq+V9R7Mz2yhOgIF75KmQBboXAry7KoZhb3RdjRGaCwU4FznYfk+jUVf9euGjYJbRNnYrZglhHP0RTMayg9zuT4MUQrQ0L1vuhvjDpo6rC1jG4yIRVPz20/lVE42teCXyMDmsoWDacdz1454ns9X90ULFt2JaFyuHjEAjjzxUliO29kJ2Ba3xUhW0lHymTL1Utnmd9DHxvYb3YwCAP62SApmPDWqug7Y4R/AkT+iPtqQjbFmHehBudN/Kx6ofXF8QBJqcd1NZy2jwA/3sX9b/KqO00UHXKqB96yH7ajU9aqL2sor5TR9mponWSabd/xhjs1VD+q47GdhnOXy0Msh+l5wPU7WKmv656rTD/JHC7BCiIb5cvY19JAgGGe0WUHEcJKetfLaR04KqVyZeXo4XSjntNQax52DuDzMt7gSD+1YUjIvd5B6McZt7fRRT3I7JDtCLxnH25AxAROJ2+ROrD3S3BskqoH2eEQ5jmcE+Em43WaU4mVu5UAHdHW33rJ4nwj4shdW3V0I8svactLYhf9TBNZ4zepp1rbQ9+dlG1Ldgv2/Cyik0S+91DReprs3fNNhXn+EEeXFkQTwZoPHdQ2ihh3Zb6ST5KogIG31soWUU03RDoxRDNooXi3jAeuZAPGPmg6UZ94ExzrhxFXywT9F/bsDa7GIcfIvoDaVqAjz+VISMw0/Ue5Yh/SYAETAIUxCYNHpOAEFAv+xr6vz20i1p8VL9EL6QniOi8j5plo/FPVoDNF8SxdXLXzYUmL/LE+j5G75VmPSVcxdq1Vkc/pwq8v0UMWyjFwno6KRE3ljXL8jwd/mGf8dAKBVcsmlIZFqt8E7HtOBRUltVKzoXh/a91FPJGDZR10YJl5zPXt+sPGOdj3qdOKkMr+ePKgjgupfSJPEHso78lTNP14H2Qj7Vq2LbD503qI0MEsIX4o9xroyijHbFABhCOrqx/iD4uw8yoUa51tEw3mTifPCABEsgSoCDOEuHvJ0/A2y+iGL5c/OOatrCtupX4BrUqwilfUM4XxMP3WuCaL+/x5xoaX7WFbLhnoRlrZR+DbR0+bfkUi+gMf8jISmk34Oa6WehCK0G81c9Yt28A5D5vjQSuKayCIVovO3oUQ5i86iZWQWUxFq6ZDwJxgVmr5vh/69EA+cgof5pnWxRB/HiH5JcuiKN6yFhs9ceahdqxD4RiN3YjCtuZ9BPLWlfuDzKqInXT/GY2wnB05V/tzEjWGN3nFtbnfCyasfCYBJ46AQrip94CWP40AWUNrSXWSBEboZVYvbTSoW/5VwDvoIqyU0LhRQODnyP0dqqo7TZRc9ZR3R/C9z1031ZRfSuTyUqoybkoVxcSvoLKCwfrf3XgRQbeswEaf5Xh2AVUPnoYf+ug/rqO5k4FpY0a2qdxDADCIfpct4d5gjiyrjvJpCs1RGz8jvIZ/tUvfsuwGgPBtyaKxvCweYt8uIg4iD5ezGup48CH70eFT11ZuR/648SCZfgEqyFz43e6UHmuKAGG74v5PtWq/YsAM/pAOsL4V+D7iV9xfPZxHCxdEEfuQzMEcenjCME/Df3xHfnVhyijflE/8WN3mVxBnP3oifruS+MD6XFUD0tBArdCgIL4VrAy0lUloKzD7xOfPilHZMWxilkLTH4p9QoL0YoKi/9WD2cMO8uQ51Yfk5+hL65dRe+XFnZJnuroh/6G+py2JCkhu1tA/XgSv2j1S1SGbotofRdRpC2ypT0XvvJHDN0WUpamcAg418I6RxBH1ltLVi/QDNSKB3YTwxmTsOIyRYIg8NDamLWKQSS47Yy1LL9OHstZ7Q9twVor6RUmnHU9YXDmighh/RlWReXL+qKDUU49xIJ782n7nkpbTNx5rtJ6It4ZH+IZvtxmmzePzRQjQVz5/D9Cd4wZFuIcv2VtUTZcaMyIeUwCJJAiQEGcwsEfT5qA8p3MvMgESOCiqfw2LaSH82+X1viohvqXMcbKB9ZCzfBj1hNpjAk6MvHsk5NMHpMlujY78P6EFt7IrSA+HwrKYgteLIz0EKtMlEoGy0MLYyRSU0WeLYhja5dhuRwdOCnLZioqwRxZyELxLf7BJWPCUSp8vCqFMYEsFeAx/gjrxzKs7Goo3vg9VexkEp4e4fDQ3iihdZpvMdc+rZYx2XEqwjs44WN4WFervJRve2WQXwM0Xxdh2U24BpLHIoi1yM55pt1BLTIJElg1AhTEq1ZjzO+tEZBZ2faOG8/4NhMaH5b1cObzux5+jASNOYs8Omf6hUaWKfMcgHAI3M4K2nAIN7V0V2jVTU+Uup4gjoSVaWUTa5X52+Srjr+39KoeMsQr1vFiE9GE/KmwsQV6gfXLa6vVNQytA/+Xh/Ecn+OptG5w4iqjBTNHCqL0o48A08ougtj8HYU1/kZ1IeJS2njxvZu41Rjh5DCxRiafRJkgamWP/lYZ3V/TV5Z2RtWvsTLIj45y8amH/ucz0/kzgXfFTSmU1T01kU2PCs1tqzMzEPXDjAhd4DIhfS7+IMz01ahOru4yEY1uZfIyM++8QAJPmwAF8dOuf5Y+IqDW2Z3zklfXtYvB9GoLUSS38TdcVSDlwxueM1/ike+nYZGV3GghLy4S6bxFQ+OmxVtbk7LWxusI4siSmZl0deFjritvLHIrqLzKXw4sKUXkMpH5AEgCKOE22C6ly64sqjaapjkwdc/D/RELppT7SrDQPzoein9VQcVuYGC6iGeKG7UL8Wmd+Z98ZIgrz8wAN7+gymrXjbwuLqekqlwEXlzlo1W31dJBurxLtxDfeFKd7ktzJ9XluHTRQnzztsgYng4BCuKnU9cs6RwCIhzz17lNboqW+LIWWImvYhWU3dsqn9Iv4yRFAJEl17QahedMS65+8eml0YJvLZQ/yhJMY3RfROsAj9HbaoarMUQWZtNyFIZVYkLCRruWhRavlAiLcjjDZSJ6+V9504ZoIw8Ldt5yYFGy4d+oPkxRbwaRTSqcPWOSoVz81lTLiWlROFY7rTkb6yj/VUNts4TCmwHOTtuovHRQXAvF468eas8jHgDCjRGqu200N8tofzftz2YOlnsciaErbzAiZVZrPNvKp3xurqIl11IfYMYdsqGKY65O4WPwzsH6WgGV7Qbq75uoOxV0fwRw3+sdCMubVdS2Kig67dg9R20+8VcT7d0KyvueHpVRkz2raO7W4azZsEJhO/5SQ3mjiMI7Yx1s30PnTRX1gzYaThndH5JH7QOfErfhpNPaXhv1F7KUooSTyao1lN+10NgsqA1dsh9I04JY3DjaaB+4hjuRwSU+nGEhRrjsWmb5O239jSYwhh955oeu2vzGghW5NuUtuxZ+SOZNLtVtxhxFuWw54gLxgASeDAEK4idT1SzoTAKhj3Bpq4X2fnv2v50K1pWwWEfz292IoMhiZ4o+fS5tfdUvVrGoyWYL4Y5y4YtShLP/rYlyPFkw8h82JglmwpYMQaom3/1b3uYaMwRxJMByRfTMWhD7nl73WSYPRhsTzAseyPbEso5rOb0yRjCB+6GC8vsBJrF/9ATuRxFFFqyNGpr7Hbj/3oTzd1elWfrbxWDXgbPzGZ9eV9H/Kuu96hEDxTte5kw+JmwU3mpxJsKpcCfLWkXrNKfrfR6e+FooouzXpm94fHXqYHJSR0lW79juY2w0c9/rKVHZNV0SfvdQ3e6g/dqK3Y1UW/yf3+Lldhfdbfm4GcD9VIEjPu2hr7i9VtfbREu7W2vDUxMo7dClZoTOv1koyNKHEr/TQVdWFNkI22AUVvyLv7dRsAr4r//L/4H2bhVFy0b5XRvtIxHZ8pFnwznQ6/OKa0TteAK1+cWa3pI9OKnDsquhUE5QTAniyF3FWjSPYJYgBvTGHOvJ6ES4MYfpJ5+/MYdtbMMcbsxhLK2n5hPk9pnww9f8uLl0ORIWPCKBp0KAgvip1DTLOZOAtq5qdwhtSbvE8evbHTKOMuvtF2A7LQwNn9fRQQm2YW2TsIHXQfVZGeW/KmjEO7bJFrtlFDbKqGx1kh3HJn3U7AJqR6afqA5belFJhxXHg0uuQxz801QrH6jVJNSHQwGl5yIyDcteVLDcv9p61cluVZsbNjrpwztsoCKrLdjrcF5VUN1uo5+7vVrO8Lha17eAtuFSEvhBauhdhJQduQiozQ60y0Vw7qLlOLdsIR6h+5cDJ1xNQtqn/UxW7Sijk9mHISIy9dcforvfmd7edypgciI4G6C95UDqUrWfVzU0Dl1MDIGsQv8RVwYXTUuLTdk5UNaT1rzE4h+dj+LWIxH2rosg8OHuOXD2PUykjUXCNHRrEZ9ZSPwXI7WebmT51R8o0yI262YRuE3Y4UdN8LOH6rNksx0ltiMXi0hoR1kMV5bJ+hBPPBf9984MP3gPHWnrRj1FK4F0jLaltm5+6aC609DbMx+4xkebzoCynjuyvXMd1Zc1tI5HaZ/vcITCeVlD420V5a0W+uZHSlwO3d6T3SD1hfnliG/mAQk8OQIUxE+uyllgErgigdA/edp3eoaF+IrR31lwJbQKKZ9iLa7SKwwoV5PnFrQAi0S0h+Ai/DiwK2gdu3BPR5gYHyp3Vo6HlpBy4Smho9wWhmonPcVOWaYzfvmh2K186MN1hxiFCltZlSNhqiZXVtD7Fa5zrEYvSuh4gVr3OBXWYCHuAbbxTiBuGgAAIABJREFUoarcBdbq6LouXG+s/ddVXDaU2IbeBc6WZQczzu1TFuIwneFeYXWW+VMfb9PzB6QoK1UOo455SAK3SYCC+DbpMm4SeBQEwt3LMhP2oPwbTT/kh13Y2IJ4PkZvW1vdxR0ktv7G2dcTCdV23epjwEbzoI3y2wHOlCWzlewIdj7C8NecWWpxnI/3IB5B8IHgtIXimvbVVUP54g5hFj0UxMkkTx+jb2P8p+zAForZ0UcH1lobnb8d9fGi4t9oo/+pAlllQi0vaAjf8ZcGWm5iRQ7clhr9UILYCBecDeH9fwPULVt/FF3o49pH2ZgmPeKTK4jFv3rDXKbQLNjDO5YVRdJLKIZ5XLFyPDyyzNFjJUBB/FhrluUigWUSUJOtsv6rq2UhDr63UV6roLFbQ/ubFrH+DxfDs6wfgLhMlLH+uonWG5lsV0DpRU27RgRj9N6UUDsYYHDYRH23h9HT1sNQLiXPSpBJho3NmrLkStMTAepODeUHkO27S1sdDL520XzbRE/CnPVRe1ZF62MTta0qnLUSyrK7osTzvYVS0UFZfJol4osh2i/KqB/20N2to34gEycn6L9ZR3m7gdq7HsbiOy4uLS/KaB4N0D9ooL4v7gkBhvtlODtttKO6dcpoiHuG8d+0IA7U5MFW2G6MoA/zUPXXvE1tVqwcD5Muc/VICVAQP9KKZbFIYNkExPrnbDQNf+bVEsTL5sH4hEDkUjJnpZQVBDUtiFepEGP0Xq9n5gisUv6ZVxK4HwIUxPfDnamSwEoSUFa/n5E1LcDk+/DONrlYSWCPPdOhC0R22bJVL3bw28sZOViRUv324Hq3uUr0inBgNkngigQoiK8IjMFJgARIgASEwBiDeJnCLobRdxLhkAAJkMAKEqAgXsFKY5ZJgARIgARIgARIgASWR4CCeHksGRMJkAAJkAAJkAAJkMAKEqAgXsFKY5ZJgARIgARIgARIgASWR4CCeHksGRMJkAAJkAAJkAAJkMAKEqAgXsFKY5ZJgARIgARIgARIgASWR4CCeHksGRMJkAAJkAAJkAAJkMAKEqAgXsFKY5ZJgARIgARIgARIgASWR4CCeHksGRMJkAAJkAAJkAAJkMAKEqAgXsFKY5ZJgARIgARIgARIgASWR4CCeHksGRMJkAAJkAAJkAAJkMAKEqAgXsFKY5ZJgARIgARIgARIgASWR4CCeHksGRMJkAAJkAAJkAAJkMAKEqAgXsFKY5ZJgARIgARIgARIgASWR4CCeHksGRMJkAAJkAAJkAAJkMAKEqAgXsFKY5ZJgATuhoD/YwT/bpJiKiRAAiRAAvdIgIL4HuEzaRIggQdM4LyP2kYb3p8HnEdmjQRIgARIYCkEKIiXgpGRkAAJPDYC3n4R1f/WRnt/wb9PQ1qRH1vlszwkQAJPjgAF8ZOrchaYBEhgIYHzAeobrRtahwO4uzasfzUxDBamyAAkQAIkQAL3SICC+B7hM2kSIIGHScD7u4TK53GSOd9Dd7uK8vN12PY6ytsduJPkcu7Rry7KlgXLstJx5QbmSRIgARIggfskQEF8n/SZNgmQwMMjcOGisdaAexFmLfDQcqro/QrNvP4QrQ0RuhX0zmZlP8Bwr4iS48AWUfyvFrxZQXmeBEiABEjg3glQEN97FTADJEACD4nA+LCM8qfEOux/rSsrb3FviMjzYXJUUees98P8rP/uoWLV0P/toV3UVuLql0Um5fyoeJYESIAESOD2CVAQ3z5jpkACJLAqBAIXzbUGBsZaa/5JXVl57e1BMnnutKUF8aseEumcFFIm5BU/aJuwf1zTYWklTgDxiARIgAQeGAEK4gdWIcwOCZDA/REQy29pf9q5IfB9+JF5GEBkNbbzLMSyXJtYhyODcDBEK7QS144NpX1/xWTKJEACJEACGQIUxBkg/EkCJPCICVyM0D90EWnVVEmVcDWEbOqi+WOC3qa4QZTQntbOUNbh94l7hdwZu1gU2/QlNlHymARIgAQeCAEK4gdSEcwGCZDALRM466OuJsOto/V9Oi1xbYjcHKavJmcmX6qwrQJqRznOErJcm50z2U5cMWztS1w/MUzNSbQ8IgESIAESuEcCFMT3CJ9JkwAJ3BGBCxetN20MPjf0qg+v+xkrsUx+yxGy2eyd9VC1S2ie5NqYMf5Uhr3jxpPvzNtlsp4swWY97+b6HZtheUwCJEACJHC3BCiI75Y3UyMBErhXAmN0X4il1kH3V5IR8QkuZdwckqvh0VkftWcOWt9CP+BgAu/7JBG/slybXU7Fm4pDXddW4sY/tBKn2PAHCZAACdwzAQrie64AJk8CJHC3BET8qrWBY0uuiOQ5QlaydzFEyzHEsJz73oK968aZFwuwvWOsRBFfSQ5kww9aiRMe8dH5CKPz+BcPSIAESODOCVAQ3zlyJkgCJHC/BKK1gatqJYjgnwYKsTjOy9kYvdc21l810Npvox3+a74uwvk40jeEPsKlrVZ8PQqX+rtTwbravW4dzW+PxUocYHw6xPjaC2j46G/9T6huJ2xTzAzmg5959bOK53yMvw0xjjZ/WcUiMM8k8MgIUBA/sgplcUiABBYTiPx5i/s9ZR3uzBFaMolOWXXDbZjN42gZtXgViZwwZvjU8ZQf8+J8Ly3EZIDGRiEsVxMzthe5RHIBhh8cOHvDZI3mS9yVCuK1UdzK+nSnQjzKH8FpC6WNFoYUxY+yflmo1SNAQbx6dcYck8A0gQsf/jVerIHXQe15Be3vj8VaOY0m94yx6oO9/fTEmGYyRu+V+DRfXxCLdd3eaMP7k0v5Eid9DLZLqVU/xict1F6W4axZKGzU0DoeXV9sXyIH9xlEudBs9R9t+e6TLdMmgasSoCC+KjGGJ4EHRyB0AbjGi3V0UIIlE8F+PLhC3XqGtD9v/lrCt574g0ggWk/5moJYrdtso3FybV8JwGujtJns9ifWeGfPhR8K7PFnWeLOQnHRhMcHwfMamVATLR+T+8w1GPAWEnggBCiIH0hFMBskcG0CMuRsWYk/67UjemI3ng/R/TTMLL/2lBjcTBCrLantBtxrjExoygHcnQKSFTci3+4Ker+jehiipdZvvsSSeNEtK/U3gLtrw7pP95mV4sXMksDtEaAgvj22jJkE7oTA+JMDy7LR/HYnyTGRR0PgJoJYXB0sWG8HybJzV+Xyq4vyC3NN5hE6auMU02of5dF6tO1b3E4s2eqbq2xctQUxPAkslQAF8VJxMjISMAkE8A6qKDslFF40MPg5Qm+nitpuEzVnHdX9IXzfQ/dtFdW3dVQ2SqjJOTMKOZ646GxXUXldR+NNGeWdAcbwMdh14Dx3UFrTa9sWNhw4LzvwYKS72YF72kPjryrqb6rqXtlSwv/WRm2zDOdZGY2cTSaCs4FKs/q2iWacZjZj/L3aBCKxGbpMhBPtCs/WYb/qYHDcQv1tE43Ngmq/vZ+Gn3ngonGjUQmxjBam3S3+BPB9Ix0YVuMzk7aP0VEDlXhioO4D0aTFylH+xilmDA/m+FcXjmWhmazg92CyxoyQwFMiQEH8lGqbZb1bAmIBk9nzP/ULz7Kr6P3SL/t4VYJiHf3wRa/PraPtJdkcy4YRVgktN5LJY3SfW2idhmH8AeqysoHhh4ko3W8tvYqAzGQ/99BW1rcKev9PF2U1EUrHZb1KfDgl1jhNtQGFj8FbvRpBrgX6wkXzuRbmIs4X/2veYIg94cKjZRDICGIVZTTRzkLlcBxaf0NRau6w97uHimUhWmXjyrmR+y8xGU9WYhB3oPTER70MnrVWQetoAPe4hbK4VfxbEz3Xhet6mJia+sqZu+Mbwj5c+ZyzFfgdZ4XJkcBTJkBB/JRrn2W/VQLjoxrqX8YYH1WUMK19SaxW489yrohmLHSByPUhFrsibEUMmJs9yNbBa3W1fq7KvGwOIZOO9hMVLUuKycs1Srd+IupghN52DfVDD6eHVTS+TiDCWSxT5U/Gi1gmOUl8H6L4fLh7FdT2BhhfeyWBW8WsIo8sg4/l7+0TkxTyBHF0ro5B7BscnTMm353qj63cjySV+QCj4y7c2BfYLFGA4V4RZn8wr8bHgYfWhgXbaWEYfQ/K6McHmQhaRc+wGOv+tNjtIPjVR10+DDc6CFeQjpO7vYMxBrtVFMWtyc1T6kO05KP2/fUXv7u9vDNmEng6BCiIn05ds6T3QkAmDslwrjlRKDqXJzqSc97fRSWk1zcbaO83Ud+qoLLVQv9HrA5iET0tTKI0ZosEb1/iNycrhRN8rGLKSn132Ebo/nUZK7OEqaJrrB38H//xH3hM/+Yzvz6ndLw5QneuSL6kIP4zRv+t3pFvPf6wMlI+76NWbC1Yqk1Ecwn26y5GSXMHQst08sGm49Ufk2YfM9JLHep+ITsMamnqY/CucPsC+VQ+XGflj4I4VUX8QQL3RICC+J7AM9mnQsDTs+Sfmxap8NxmL1nhQESCWIniSUqRWJn1EhV+4cQmKxHRCdUkDcP+m1yO1uFNbYgQ3mM14T5ga3BSCB7djEDUxgyhe2NBHMDdq6F90kNDrQ6hdwM08ykfYvPdA/RmH+tbvXhUwv/pqq2dZdttGQVI+9uG/aDYRjSuYaaXPpY2bqN2nIzWQNbwzjPcpm+80S8l2GdapSmIbwSXN5PAkghQEC8JJKMhgVwCoVuCbQ6HhufibX9l8Fq5VdhqCargWwvlj/+pZ/HnbZoQ+AiUYB2iKSI6Wn/4Vw+1aJOJnDTM/AVuU7laiDuFpFc9lAHkUBBnfIrlvuBMpvHl/HcNH+JBbkQ5cfPULRO4gSC+hA9xtBugY7rknA9Q32jO3Z1tfFSFKYbFtaP/uoLuGaB3DTRHNRBbjVOuP0JOLNUyiXWvi+brEpqyXrLqF2V0fwG4GKL1l4OS7aCj1uEWa7GD9bUCKtsN1N83UXcqeo1ur4PyxjoKTg317TpaO1U4OwP9QftnjMFeDdXdNpqb5XiTG7XpzcsGWjsVFNYsJFbpTLXO8CEOblulZ7LBnyTw1AlQED/1FsDy3yqByKKl/Xh1Uvpc2i1huCduFXUM/DF6m3rZKQlnW2kLm/+jh7oT+k+GokRb22SikYPWaTgQrCxps5diS6eXCAy1WcW/WilL28RtoZzy47xVZIz8zgjcQBBDf4yVPs7xxBXxq6zEDUSus+NP5bTPeqasajtjq4TaXhvt/ehfHeVoFET51RsbWfzRE+zs14k1WUcpItpGQVwj1OiLrdbpVoJ6Tbfv4d466odd1C0bdRHLv3uobnfQfi1++9qlQvWTtwP833sO2gfi9hCKadX3Suj8EBcMG4W3A/XBKB+2BfHn/91H1S6g+S0ALmTiq42qMYcgVezw4zV5RkSuSxZSHxOpm/iDBEhg2QQoiJdNlPGRgEHA2y/oSUHxBCVAdoeznfR2t2JNqj4ro/xXBY3jyMkhgHdYR+V5DQ3xId6son4wUEPHOokAw/0y1p0Kaps1tN1kGFjSteZsmqDTK8F5aaanrWpi7XJe1tB8X0f1VQ2NQ3e1Zu0b/Hk4g4Assfa8hIKMMFiyRbKDzknOua85575LnJdbh1j7qVtaDMqubGvzNvKIXHbSS6ipiZKGO4RaMnCjjNpOHdWXsrWzF+9sF5dWbVZTSG0JDYT+w6F4DXwf/kkDli0fotL2Zck3F00rcqnQZbS3+jjzfYwOK7DWQreMMP72v8vEVz1ZLjh30XIcZSFW/v+h8Jbd+IqWiOc4d6mDvHWIvQMHtlVAXSa/8j8SIIE7IUBBfCeYmQgJ3DWBAMEt+0XedYmY3sMioHaqsxLrb27uwpVSrGIbPbEOz7Mo50ZwvZPKBSkSunEU2n+4ejiE52mhOdyzYb8dYHIRdhZlrY3Eq94lr3QgVvC0mI7i/++9Oiy7gtaxC/d0hIn68NWWd4lXdLayStstuL6fs4lJaA1O+fLHGeYBCZDAHRKgIL5D2EyKBEiABB4NgWCIVtFCMtSfV7Jk+F8ssf07Mngqq6uduP4Ep23U/9f/TbkuNHaboTCX9ZVt1I96aMqIjdi9lauRthirNZDXauirpeP0WsxFJY5F8Npw9j1MJLyRDs5HGP46U/7/tlphI8DgrQV7q4PO22oYl8FJrOZ2UbtWGKd5SAIkcPcEKIjvnjlTJAESIIFHQUD5uRvuDLmFCte2LhlrZeeGW+rJMfpvSqh86KH/dx31vT5GF4D/QzbuGIUTRLWfcelFDe3Q915ZjJ+V1AS5xmYNHS+0HCuf4QLWXzbQ3quhonaLFMPxGL03JdQOBhgcNlHf7all4kSAl50G2n/XUNuqKJeU8jttMTaLKT77qXXGzYs8JgESuFMCFMR3ipuJkQAJkMBjIqCXSCu9H+a4A0Tl9DH81MXwjqzDUapX/6t3btQuEum7tcU59DVOX7r2L7FAO5ysem1+vJEElk2AgnjZRBkfCZDA/ROYuGhvOVhXqxxkJ2m1wD3BlllFAcanep3gZcZ653Gp5c/yd5NTk+RedBFNd7153nyMvw0x5hKEN0fJGEhgSQQoiJcEktGQAAk8DAJ66S4bzpsO+u4A3XDXtNqBDJe7GP6kCnkYNfWQcjHGIF7mrWtsFQ34p91kCbivy5PED6n0zAsJkABAQcxWQAIk8HgIqPVfLZT2hsZGInrN3PWFPqwBxl/qKFkW8obNbwuSCK76CwvWUi2Qt5VbxksCJEACj5MABfHjrFeWigSeJAGZFGVZtfRqBoGLhmXB3ruEo4QKawyb/+jAsWU92Nu0KofLdF0mf0+yVlloEiABErh9AhTEt8+YKZAACdwJAb00lvUq4+upNkawUDu+hKj93oJtm4JaNmu45QWdQxGudku7E05MhARIgARIIEuAgjhLhL9JgARWlEC409l70xIcYLhXzN21z//eQe2vOjr7DTgvu5DtF8afnNh1YfylhvJGEYVouazzARrOOgprFdR36mju1uFsdjH642PwzsH6WgGV7Qbq75uoOxV0w53J/O9d1P+qobVfRznegGGMwU4V1V0JW0i2BF5R8sw2CZAACaw6AQriVa9B5p8ESCAkEG4C8aoXrwbgf2uhZJXQ+pa2DgffWyjZFXR/AWqb67UGBr6sS2uhIBsq/O6h6nTQ3S/C2ugosTw5kq2z26haNhr/iNV4iJZlof6/H6K63UH7tQV7x1XLjw33LFhvBwhkpzbbQUd2fZDwyvocwPtQgh3mc/SxBCva5pd1SQIkQAIkcC8EKIjvBTsTJQESuBUCFyP0dsoobTbQeFNWQtX9nXV58PVOYq/7SC2Na7ou/AngX4zQfW5MsLvw4f/ThBW5VITLdNX+/Qy+76Jp2agdS4xh/FtH+LJra4vznwCjz1Wsi4U4vK/6xQgbbvN7K0wYKQmQAAmQwEICFMQLETEACZDA4yKgLbtTK0ko/+Equt88eLJdr9qdrKR2Kwv+aALKpSK0GOO0BdsqoSOuEb+6cKJjZQkWIf3vaBctFN521XJv3pmvN684bcGKw2o3j8rnMfyLx0WZpSEBEiCBVSJAQbxKtcW8kgAJLIGA3pFMW2glujH671r4v77Ula9xc7esRK5sS2xttNH/VAlXmdCWX2tbtuDVvsmF0CdYhbX0TmayDnJxrYb+bz3JL0lHNrDwMPl/2yhaVb0Sxs8OHKuA9sc2HHHV4H8kQAIkQAL3QoCC+F6wM1ESIIH7JBCctlF+UUf3qIvm2zo6ysfYx8h14f7Q/sbKz7jooLzdD32SxQfYxvpGFc39BipbHXihVVeWe7OflVDdbaOxWVNWZSmf77ZQftFE76SPzrs62q64SYzRf7OO6l4HzTc1VJ0CSi+qoZ/xfVJh2iRAAiTwdAlQED/dumfJSYAErkIg5RZh3qgtzlMuGGYQHpMACZAACTxoAhTED7p6mDkSIIGHQkC5RdhNuFNz9AaoW8ZmHg8lw8wHCZAACZDApQlQEF8aFQOSAAk8WQK/Bmjvt/W/Q3Nb6DEG0fn9Lobp1d2eLC4WnARIgARWjQAF8arVGPNLAiRAAiRAAiRAAiSwVAIUxEvFychIgARIgARIgARIgARWjQAF8arVGPNLAiRAAiRAAiRAAiSwVAIUxEvFychIgARIgARIgARIgARWjQAF8arVGPNLAiRAAiRAAiRAAiSwVAIUxEvFychIgARIgARIgARIgARWjQAF8arVGPNLAiRAAiRAAiRAAiSwVAIUxEvFychIgARIgARIgARIgARWjQAF8arVGPNLAiRAAiRAAiRAAiSwVAIUxEvFychIgARIgARIgARIgARWjQAF8arVGPNLAiRAAiRAAiRAAiSwVAIUxEvFychIgARIgARIgARIgARWjQAF8arVGPNLAiRAAiRAAiRAAiSwVAIUxEvFychIgARIgARIgARIgARWjQAF8arVGPNLAiRAAiRAAiRAAiSwVAIUxEvFychIgARIgARIgARIgARWjQAF8arVGPNLAiRAAiRAAiRAAiSwVAIUxEvFychIgARIgARIgARIgARWjQAF8arVGPNLAiRAAiRAAiRAAiSwVAJpQfwngO/7M/8Ff3Tage8jOl5qbh5IZMFPF+5ZsLTc3D0vXY83KsGFD/9iPoKbl0vyeaNczs+geXVWef4EmPwcwjvzMTMngY+xN8RoMjMEAn8M73SEyQJmZpYue3xzzpdN6TbCBRi5LsbzuKjnzjy2j/t5cxvUbxrnw25zS3i+3RTQje4383+J/hGn5cM78eDHvx/BQSB6Y3bfv9MSznpHRJk49zD4HtE36zAKcMO/D4nFDYuyqrenBfFpC5ZlzfzXOpViDtGyLOjjVS32vHz7GLy1Yb8dXOvBE/z24P6MOs098frdQ8WqoPd7XjnnXxvuWbD2hnMCTdDbvGE7UPlsYV4qczIAnI/gfp/MFrLqZh/D/QoK0q4z5Qm8Nsq2jXXHgbNRgO20MMwIt/HXOkpWAaXnDpxnNgpbfYxTmRpj8LYEa60E57mDdbuA2pd0iFTwK/9Y1N98jFwPc7T6lVNc6g3+AHXbRv3E7BOZFOS5s9nDJHNa/1xU/tybePJGBJbQt2+U/oKbl/B8W5DC7V4283+Z/hHl5kcHJauEzo/oxOr/nRxVUn1/+v15d2Vc9M4bHZRgbXQwkiyZdXitLE4/t7MsrhUtb7oRgbQgNqOaWeF8QZmYsseqUaeE1z3wmll32dzO/r3o4QAs4aWp8nkDQTxXSAHwXbScApx3fXR3M4I4GKJVLKLpRkItwHCvBHvHTQR2yLF7FnEao/faRvlTInj1Q6yLcTh6grMeqnYZ3V/RPTf9u6j9yPWbffzcNIc3vn9uPS4q/41TZwRTBJbQt6fiXOKJJTzflpibq0e16vm/eoln3pEVgdPvz5m3Lv3C4neekeSN63D6uZ1lYaTGwzsicH1B/M3H8LCB2vMK6vt9jDKWNfgj9A/keg2Ngz5Gke6YVbA54f3TLtpfR/C/ddHYctD5LmJniO7+AKPzIbo7NTgHXhzzxO2iuV1BZbuJrmvancYY7HcxPBuhv19H5d0g1yo1/tpG+2sievxfA53GZh3Nw+FMy7Hc13xdhPWijrako8ocvtDn8JL7uqdjjI7bqG82MIiyPIeJFHZmvqLO+jMsp9RBTr79H310hN1WA53jUapc0w8HH+MTzb+208XwfDxtIV6QX/hjDFSbCfNzJpbs+YJY5fF9HRXFfhAPvas2sV2GVayiud/GIE+ATtx4iCtbnuCfBqwX3bS197yPmlXHIGyr408O7F1DIAt0r41isQ3d2sboPrfRdNNDft5+EcW/k/YYN0xVaWG7FVZ7mn33myTowzuS+hc2LiaRwJ43IqP6QB1lq4jq/9/e27+2kWx5439foP+B/NAsF10v6xvw/cEaLjSGiIFozRVmI4bHYm5QuNGTi7/KjsXgVR6MzAzKBJkJMhma2SBv2J6dlYesTBYFgyAIcvl8OfXWVdVvkqPE8UwFnG51V1ed+pyXOnXqVPcDU2aX1r9piN6+1Nc+ogtO9fznATqHtsyPMdzvQqnWuynCoxYa21U0Hvbi66wK0jmLP9MR+qR/2w10jseYL+kQZ8kENZelS7FN6GBwNhflTKMUl7HtBsfC/j+7fJqdSbvGa8zTw1TbR48pXeKYjwS/bBpFCxgfd2ObeDKJJ32sQJ5uTxE+7mB4ZtbM6Ho6VvXk9SGTJ6d9dHaryv6YWgRk4ivtG62AzcnGkT0y6Rs/66CrBFS/J/hwIcevjPEpR6Y5TyaYnw0Y/dXdDgY/m7IE9nyHjVf1+1301VK7HV009YOw6uzbf0Nup5i+y3FFyvpMjYtklxNd1m0yjQE0Xu6L+nRY6PxSYypAfR0x2xWA+kr6Jf+x/mhjKdm50VFsD3QnkMomx89lZV22DDDb9SRSMgpwrPtRTN886qPzLS8jxwjpZzC+an1hfJfjqC6Dskkd6zyfJ8NuSyzGQq5oXOZjg2yAHzP1wizmfl0CgUs7xOWgjvZxiDAcokdLxrpz8XqA+loZjaMhwjDEgJas11oIbadZElxQngnK7Qrqd7sYhCHGZPyYQFZQuVtHl+hgaQpzRPsBSp+3WbkwHKD9uY/yI6kU5JwGqNypovVkmLncLhWDkRd1UPYraB9HmJyPWF/LeyNNyWQngNlZiMHDAN4XXYRqGZs7xHl4UXvB7SqqD/oYyucKMCHHLJMuhs0GyttN9E6IRxwH3bmbHtdR2myI+5yH/s5ATRAMDCCipxLXkx4a2zXUtrSUiSJ6347Q3vRReTRgMjE8aqC6U0OQ4xDPnjXgM+xHiKIR+g/KkDSypbXHdXhbrVgmYlYkzsz+ANHXG/Af2U7rBP07sk8zDHc91J7K2YmscoSWjMjScqdXw8Au8qJlLAPKJ9lRGNLavRb6YYjwSQtlr4L6F1KfOK82lIyJCRVLVzJqAuZTRGEXdS9A66nUAdINU/8I67JfwyArhYZkyeP6GkURhgc1+JttsHFkllJKAAAgAElEQVSD9bGOgeZwzMMWfKnv8widoKT4Gh63UfHLaL+Ug45FP4uga7bhURX1HXPZ1Oyl+XyeTNBzabo0eUL9kbI+QHu7jtq2h+oTyTjLbtDELyihehRPik2aisoTzbadSbsGFOlhqu1DhI7Qpeh8ghHxdzOZ7sNpJjn24ZPunkaITvtobfqaXBfrNunKxr6uKxP0bscTQbMPA3S2SyhpE8k0njA+Ek/CMSZnQ7Q/L6H2ROJdgK/hjHA9rR9rDuk8RCtzlYbzobZTjcenRxUm7ypdypJpmsQHa1W16sMdlxqa93oYhiGYfnlldBRExB8P5S97GEYRopMuarpOGPRb8k37V8guiL/e7rqyefYyPcN1p466sKkD6offwFDq6rI2l9FVMKYmdIPLF/U1PJtgfNJGZa2GvlhVs+2uvbIonUDSxPTxcxlZN7WU4eVrAZdXPQSeB19bwR3t+QjEih+jdTNQeHK+xqt9Oq02L2ybm+vzZNhtVv9GGVUhV9yWxnoGFOiF1X33c3kELu0QN07kgEez9BBN6SRQEG1/w1hWJrLYtYwBpqg8E5Qtkbsj+8iUN0BXj1ywa+bgjbchmso4cuNj0C7r0466ErO2H2pZrvMZphda37Xn6JSV1xRO5lwbbVp4sfa+HBpO9kKYZNGVhg0zBtI4jND2NzQDTpSbg5yOAV71UPGb5oSGrmm55EX0To4qZjoCtXhYgZfjEOPtBGN9cyPDTXNAcyOLJmOM/gjHKXaIZFm+VNz8gfibtWzMB1SWEsFwlpjKOgAQXVtW9FneFrzRUypGDz0zovyyDV89bw6Yspr4SPfNlAky8qYDw7HWJ0Tx86S/M4xfaQ4FycKWjzatxGCO8IFvOI/0uyJ0mcn73YGxukDRd+UwGxFuXpeecsLqv+9nTyCM54EimUjoUppzxGyC5hDTyoAt3+xaC1bwn8NWWD7NzmRcK9DDbNvX0nLv55i9zt4UOj8fq5UVxlFaHZGT3wV0m+u/JufsGYlNhM5G7DRwgMxrCZ5I/ftWOsAALqYxjUX4Mh2KZZ6t9mg56MaEjROk/c/5kCaDUqZnx/WErWLXhJOfxhOmc2pVaI7Z2cTQCbbaJCfgBv2cntQ9ObSC5sfOpe2EJXHlNqvxjOvy0jZX2CZjTC3iBdPPqnKACejZdKI23dt217arDEuNd+y3Pn4ymhaXdY3RakyT2FLd1b02qmqFj+Q0UBOdJJ5zhPdjO2HQavBweZ+H+wWxDBPdrH7LzyG5UXtfCnlh9t79Wh6BSzvEUsh4k6TUkrk0mK6zZV85y2VRYoqc6vmZitbi8oYgyucsgaTLzDBKQy/LgUcQuJHIMT6qPI8yKSFk0bMSqnt9DKMJijbEMlp1hbYHdNaOjpfVHrtfjAmLEHsZdKVgw42pGNTIOfbbYtk/7jiLBAmjrhsyhuuuvcmQaJTR1CJ6uWGRhlq1aDjp6qp5wt7wECI87qHzsI6ykjPheGrG1HzQ/KX3h+7Q7yyHuPWCSuQ5xGIAYDhrjoJskhziO30zHUPeS+FNghaj3iKZNWWJTWyUMysbtVM9tOvyVLxtIzzpo7vfRMWXvKX5bgu+xJk5mHLSyfmaiKKzqLJMPdHpJzmxJ2JCb2X9kh511J8XF3NkwuYzOXOBGgBlpeZAxx2qDov2xTaLR971iYt6mhzK7bzyKTSn2YEF9DDV9rEIsYfSdhv9kwiTIqPE5jwTRLRad9RB625ZTUCKdZt6zSfL0uaTo6UmXNSHf2qip0U1aUWqteWBTyzT7BvAI/0B6gcDjM6myoGi1gr5YesQk0k5/vBJlxExloxjR+KNnOzFN2IchGzs89VNJQ9sNYpPctN4krT7tIAzxigcon/QQfNzP3ZsDPrTZIUmfrSiVkb7VAu+GM+l4xrbkkvYXKv+hXjBxlcffkArtck38ST00bKrNpZJHHm0fRlZj7lKgYBABBvIDyDnl2RZOMGWbUjSao4TBq0GVkXjn06RPCe+S5nl14z6RTEdj0K9kFW746UR+AAOccSijyyn0c6Fkvk3BrnF5dMExZ4tU5XTpzV4etRUtEMROO78ZBgfg54UQzONMGA5kmWUvPy3COgCzKtNa9NUhqQiFmPC6s6iy1BW0Tl2TThvFIFMcdgm31aV0dZpYrgmJjN6ekERvVMMduIBUsFdkEM8eVpHyV9H7X4HnaMBwqgfpytQJe8RITZm3oogMmxysDSdJlVEj1JbkX5ZhhmuxMRM3E3hDWFtOOc6r9IcKdkQO5qyBBAvzIgNK5aDNeXwBn4Jld0WOgd9DE9DdFXqCD1NKwo8CsicYxUR5nzlEwidKC2txKCfaIsjMuqJvBQT43mgSCZ0uWX1G9F21SJimyDsBsv7t3M341zH+MlFymfpfDzJULQV6GGq7aOH300RHfO9EuU1L+XtJ5LiCQZ3S/Bv1dDc76B3HCJ6Eqf0FOs2r4fo4CsM5FBokxrCV+Tx27mvvVMeqUzwRJA2exWiT/tMgnX4fqCcP0ZTHj9SdUisWhgTNomBfiTepMigsiVcpiu7SVnoiNzbNJ4Ydp+c2cBH6XYDrf0u+icjhAexbTXHrjRZ4Zt3yyriLOi3+p2Ga2xLLmFzrfqp1UJeMNJmmIR9vh/lFjnHcfpOkkYz0GBjaeAo2bawrMsHtCPt+aDVNpqki4kx2X4KzlBbamIngiQqECaqiPEUEVw5cTewKhr/NHrUqW23rfpFOR2PxXihGnAnl0DgAzjEGYqYSVxxeVtpWFWGQIrKjQ1PskHdyUkzPrJcfEwqcXwPP3cRaBuvtDvsVBdgfi+tTVMZku0VY2K3a9CVhg27JhxiI4Ina+IOoIz2GTSxQU9uJBPlmTMoB/hieqNHvpkWICNBmSkTtJylDbzUrO2AqkFM9iH7aPSHip3SQG71iaWByMimMFDK+eN1M4dQPceNuxmN4hGqzE11Kbwh2lbnEOsrIjEe2U46L2/2gXRG8pbXwVOexmwJUY/066sKqjUj8qnLP5cT/Xl6hk1O5ECjKpEn+vPFMpHgc0oONE0aOhsa5hlOs6QgcSwsr9Msn065toAepto+WaU8vhuju+WxQV5eUscUm8gjTeI1d4W6LWpiy7UthJEVcZ8OUPOa6akl4tEETxRx8QlFjD2pV0X4pugQ2+x6u4cxRe8Tk/e4HZnCJqPX8g7JoNxTQLZK5pXK+/oxjSe63Wd9seyGMQE36E/KBeW8l3ZSVpiM51ICN9bKVzL3G6DUj8w0Nat+1uciXujAsHN6bWmcAmb0m93XAylJJ1DHMVE1XciT9dQHSNer6B0249xh0on7ffR3feP1sWlyqttmg+8GVsXjX5I04vtyEWIszYtkq+5KPgIfwCHmS160KYe/ZYGEmGa8tGlCbmIxiSIDnVfeEET5qCGQ8iJf2qtpuWmTb2lDjXR8ksZHPqkfdcUY7ZWgb6KbhS1s6In6+oMyD8h4h3Fam6Yy6O3J6oowyaUrDRt2TS7vk/Prs37JzNHZizbK2oYMkya+sSHGdYbRXgBfX1Yv4CHfBKjlw814FMXPdIjJ2fTRVO+vnWN8WIOvGxFyiCnnSr2RQaKXPJr9oftCVg7F2zWYjOobMGnZkvLPy2idCLklmo0NSVLWW+rNIBzHnA1sKbwh2t7PIQ6Md5MmZEfQbTuiEiXKf6w8Zm/XZJdmP9BGP9MhZg7HZhllX+aOiqdZPqnGV4mjim6Z8s83U2m24byP+tqiOcTFMpHk8xzRI9qM2cXonD4CMMHwQRXlTR3zpN1gfLzVxihVtorKm33mSKVdK9bDVNt32kZJ30Q3C9HaMAd3yVsWjfSb6s0peDtGb0fHu1i3eV00cfJR3txQ+eP8erIP7NWDtLFKbOJM8oTzMd5EB0yO9I2VBfim6BCf5JRR3tQ3ISkUtBPOB08fn8RGT7UpzpZpejPCXhnrj/hekjSesGsyVY4m27c1u3QRorWpvfbRoN+UC1qtKW+0Eu9DZx0wnit2iGmjF23max2PMZ3NMI16qAdlbGTZXKt+DtoCvNDznN9N0NM2rPIAgnhz0rsZokNa9Ytti40l+62PnwWyzjZXF7yLnuyb7/sqhYdNitbommnLknK6aMqEHAc0u1bg8/CJmWm3bSwIf0Ou5Jil+Tf5dkoTe3e6EAIfxCGmjTLjJ00EvofSrXX4XgmV+xmvemFk5pdPExRz2Unr68WI7XL2/BJTvNLtNkK569ZaftWeMk4NxXgbobtd4h9euOXDW6uiq722xXiQfojlMs+T0U3T4PHydC2eHRrtqQrzMUEeXWmGjV2TDjHROUb/XsB4U1rz4N+qo6e9YiZB0/kQzYD6vy4+PjGyXrtWQC+5oM80mVirY/Ai/7Vr86iLKqOtLNq0UibAl4PpYzJZzp6EM9EfukF9ul0SH6LxEdxLyijRUCO+sw/WlFA9kG8skTXPER3UsO6LD9oUyUcKb4i2yzvEIo2A6FN53hov1krw/HXUj+JXZEnK1VHxtozymo/gUR/dxEdXaGD0kq+ho000LzqcT2slrut7obahyJZ/wos+lOJj/Zb4GMrJ4h/mKJKJVD7TK+3orSb0cZWtOjr0CkQbc2U31rHOZK6Wr+e55e0+E9Jp14r1MNX20W5zhmEJZUo3oL0ECbmU3JVlfaxvrsMnvfs2TplgpRT/s3Sb18WcG8/eQGf2YZ3ZyAqa2qu2Unki2vRvBaCUDz9oYqje902b7KQdT+FHig4RhSwamROs4L3gfGh9S29i4TLo+YFBL5VTMn1rncvqn7uIxFuS0nhiOy5DYVvL4oM//ceLpEzwFafkx7HEWGH1Ow3XhFyfD9G+S3IfoHq/j/FZjs216ud4FfBC2XX6wBGlFNp2dAKOBdlHSjc0x40ElonxU8pvuqyzNL+UNElFO53QBMVY1eWrofZKQhGeBq0JrDSbu5DPk7TbRv2iA6ZcFfPC6Lf7sTQC2Q7x0lWlPSA+b5gaZVlF+bQ6xLWizzDmPJp6i+pbYPNK6rPvdbEAw/ela8nPRdInXfNhKKAX4v4SmHzwz8i+Lf40MKMhl2bql7YBJrfsx7q5HNbFvM2neyk+FXyuOb8lejFGMc+y6+ADokwPMsotq0/Lljca034sqYfsSYZh9tsltNqBBfB+X/7T20qW1QHWZtbrOKkDS+BrbPYzOq//MCcmTI7029b5e2FyCTys5lf/00hnWrL6XF4U2f0l27KLZ8g67QUoCobYVX3Y3x8YB0l8Li9kIXdcFoEP7BAvS44r7xBwCDgEVonADIMvSqgdRpixifkcs9MOKmmRzlU26+r6aAgwp5UizonXv6WRYDrEaSV+Ldfo0/TBZgvD12Ki/naMwe5G6irP9ewz5SPHK63Xsw+O6k8JAecQf0rccLQ4BBwCq0dgFqF7l5ZzadnWx/rnDfT0L4etvkVX40dEYHxUU6kwxc1G6G6Jr50WF772JSbHTVRkytdaGfW9YfyZ+WvfuxnGp/ZXF699p1wHrhAB5xBfIfiuaYeAQ8Ah4BBwCDgEHAIOgatHwDnEV88DR4FDwCHgEHAIOAQcAg4Bh8AVIuAc4isE3zXtEHAIOAQcAg4Bh4BDwCFw9Qg4h/jqeeAocAg4BBwCDgGHgEPAIeAQuEIEnEN8heC7ph0CDgGHgEPAIeAQcAg4BK4eAecQXz0PHAUOAYeAQ8Ah4BBwCDgEHAJXiIBziK8QfNe0Q8Ah4BBwCDgEHAIOAYfA1SPgHOKr54GjwCHgEHAIOAQcAg4Bh4BD4AoRuBqHeDbG4KCDzv4AY/p61EWEYcGL8tknNhf+BPQVInqZpukzjHmfL71MndfmGf3zwnOMwxCTK8eCaPqwn2FmX9eiz2Dbf1az89kE0ekY05VjouP+iQnLuynCI7IPXYRT0HeaPzg/FkHgV22DFgGAlflUdHRhgl1Bh8AlEJghOokwu8STl31kfhYiPLcGgEUrE5+2TownYhxj401W1Wmfdadr5xHCaLK8b8LsdcrYJsY6TsanOf5cgUM8RnfTR+XRAOFJBBrvxgdleJtdjDOZP0V/20P7NLPAtb4x2vPg7Y2udR8uTfzrPqqe+PzmbIiG76Nx8jHNUArljKY2Ls+RGcZhhGmWAQL/fKzHvpxGX0+L/6pPSCPo3wTDL8vw1soItgKs+yXUn07EvRUcdNzTqrsYI3w5RWYX0p5ZybUZhl/6KH/Zw/BkhMkcmD6pwtvuM1uxiibmryOEZ/kylizz2/nkby7GH1xH55i+DDG+yKXC3bwCBJI6cQVEXLLJpWn/uYuyV0b350UbLLL5RfVwu+d/ObycE37aNsYRNaYIuzk5qsC7H6ba8+hr83Pek2dNBL4H/1aAIFiH7/kI7g2x6OjD7LU2pila2DUx1heNP0VwfaD7V+AQ08Cy7PfHnUP8gfh/9dV+iorx3g7xJWR8PkJ7o4xOxFnCncBe/JnV8z5qfgW9VytiWRHuZGBX6IQuTnVS11ftELP6CiagyTLOIV6ch+9TMsn/96nNPbs6BJI6sbq6P3RNH572S9j8VXaaOcQ5QZxXPVS8JsJEhCNCZ8NXwcb5aRtlv4bez1rAYDZGb8dH+VGU6lDndiOLrqLxJ7fSD3cz1SGe/TxA934dwd0musfjxIxlGvbQ2q2iuttCj61pxgROnnXQO51h9qKH5t0A9fs9vuxJRV4N0dlvoOJtoPagg87RiNU9O+2pc17TDJOT+PnRxSQZIWbLqi00tqtoPNTaAMDqezbB/GyADqOzg4HOYEFuXj+QU3/cW342DbvoPLPi2xcj9CglRAggw/RhA9XtBlpHQyMtQI8QJ7EAJKaq3SLaZhMMj5qob3FsRrnRlhnGx92Ynyf6t+EnGO73MDofY7DfQPXeUEXpcrFThMYnmTJlKAa118FQOH1JPtryJui7mGHE+ltH82CAsabLjIKF8aqjSTJ5TlHrHONCMkY6ksbPGfFdk/Fni82ryWD7uzI6MEFvy0fLsl7R/gY2vhYecwwtP2PtDjGmdKQ9rru9FwTEDNGTDhrb1LcQU5l2ZOBuVsZw363A26ihpfGDSmXy0ayC/eJyO8H4mNpvYiiD3yxliuTT4hfrQwu1DQ+VXUqZ4FEJNphZznmR/GXRSTS1djbg3W6gQ7JtywrF5lPLCIf4hZS1Khqk33YqS5Gs2ThNQ/T2JRZ9RJquSr2PbWnXsmPF8s91aKzscfelICCTzjnjV/cHTW7nEfr7XQzZcq6po5zGKcgGMlssMJmfD9G7X0d1N8X2ZvaZ6tb4L8YHRnEmvTag0v6Pmay2xRjEbOAF9aOB6t1mYtyiWnJlirXfEWNaF307xS/T5pp4MWqFrkqEOYZJPcmSYarjUrjnYJi0tSbfqL0ivQHrl6VTNOYrPqbIq26TJCuz7IO4n42LqN8ar7Jpzxn7jL4U0M3K2jZ/ivBxB8Mz2Sl+ZDg/Hac6lkRnR4wXRfwwawWQ5XiqgjMM7npoPLMMXtTBxkYHfFThq/fNHxJeM3AxQN1rYGg9rqrPOsmiS44/Z8K3oLFAyUlcWTav4zKrPEs4xNPjOkprVXSOQ4ThEN27JZQeyFD7HNF+gNLnbQxCuj9A+3Nz5kDOXbBTR51SIsIQg0cV+H4DQzL0tAwbdlH3ArSehmpJ1hzw5hjtleHLNk56aGzXUNvSUibmETpBiaddhCFz/oK1qoqe8fpqaN7rYcjuN9jyh4y+AaIfQRO9E+pHH62ghOqRMFEF9ScYYAgVv0tLFL7AbfasAd+voH08QhSN0H9Qhr8zUM6l7hCbWPC66L5aSi+kLUJHpKRE5xOMjhoob7YxsgduVvUMw12fY30aITrto7Xpo/ZUei7kBASo3Kmi9WQo+GXJAE1cdOwS4AC5MiUV4zU9aEbhJB/r20LeSBaIvidyKOH01XaqaBwNY3nT+1uE19sR2jKFR8hKdaeGIMchzuXnfIpIl/GCpXkGlxUdBi1LezUMJBskpi9a2VFbgWPtXgt90s0nLZS9Cupf1NFmusx1dWNvxI2xgbtsgB/Z8uLjOrytFtNzuXzN+LjZEDozRO9LU47NWgBmC25XUX3Qx1CmkLweoL5Wjvm1X0VprYWQ5JNhN0Bry0P9Mekln4ybOlEsf3nyNjsLMXgYwPuii1DSZBGeXobLZjmQePL+e7d78VJikaxZ7SDqMLtEshtFEYYHNfibbURiPOK2tIYqpY8QT4/bqPhltE/lgFUs/wy72xXU73ZjXlp0qnpfinppQihtNjlfhxX4arnV1FFGI022Dkj/huju+PB36pbt1VYEc/tMy84a/2XKjkXv8KgJ3d7bsEq70XzYZzaB7K13u476F8KOMBw3NByLZIpsqsfTeKII0UkXNeKDxAt5NtfEi9HKdC+ecKfpialrA3S29XFY6NYyuBdgqDDLGDPTdcJCPs2mkEOkJrNCXu9KHeI2KQ4EAGD2oYTqPvcfhgfkjwj7QJMW8k+UDbJx4fWb4xWQTnvB2Gf0pYDuDJtPqQgb+3oAY4Le7WSgQ6JIciBTJ4v4IZ9RxyzHUxUAZsd1eHcHRoDTCLKwQFDrPVIFtcbkaRZdDN8NlLelDyZkQfmaRbyWDaz2aDnEFD7fUMu2rCkWHegjogGLdaKOgRbFwNsQTW0plzH1y6E2A+JLYPHMhIRLM5Ak5HqOIIX2/SYfIGVfWbg/doiJsbGB5oXYNQEmq2/LzEke7flxdI3Ndqx+vA7R/ZpHpIrql2TFRy7ocY6zJfhvJxjryfLzEE3N4UkqgpkvSfelQ1xIG+ORLtRzzF7PNH7EVNPZ/HxsRKvnPzThKWedeOWhcSIHYJrUDFC3+cOutVKWY6iFRWRKygNvT+LI+Gi3xeRDtsXLVw6lg8x6hPC+j4qY3BThxSYuarDn2JAD4OU4xCjgJ3fsZZ94nXn/MxpUdFjqWTxgqmfJuGxpDpi6IZ8J1KSQbo0eerHM04WXbfjyecPg6xWJc2MgY7Wh7Vu2AZacW9UkbQFABtjkl7gmJ6NILpkb9qFQ/grkTdqbS6ZMGLrA9Djmc5GsWfCwzYLjV3rIha8MtEUUl+GnO9ykrz804atrxfKfZgvZNWtgNOvVnODXA9TWdHts6iijUdcfNqjqkaQpBjseVNRpPkNen5HC/2Vx5X3W9WSElmfKbvTIRyDtRqFMzTE7mxiOxOQwgP9IODu5NtfEi8kAKx/rd1JPSIbt9Cjz2rK4F2GYJifGmLmI3qTZFMOOcCwMHWLPxPLCHDTDiZyzFa4+m3yYGHB90q+l1C+UjvXP0vncsc/oS0q9Ft2pNv9VD4Ef8xnG2JWwBiyAYDjEeT6M/ThzPCto7NPKWvwnV1tZcRZo0f2eEdqa78aizGryYjdwyd+MLg0DWQ3DL0BXj6ATXmrc1fkqH0q7Ju+t5mg6xESQCp8nGzCdJXmfZlpxKJ4pqiV4dE06dGmCw4RVMIK1oTsHrBkaKKRDPEd430N1n0cEKQrN/lhEixtBvT5Jpa4Q6W3IksX1y5L6kTk1st8k+DaO8xkmEUV5eug8rKOsTQp0zNJoj/FbhDYezShtt9E/iTBZ4G0J7E0GFM0/6qB1t2zN6CXuvLcMu+0Oj1hJ7EVENDW/tUCm+CRLOhXm4MGwUM65RJtkQQ5uVN6HdCBkiZi/RXjx+/FkTdRgKKas1Trm8DNNxq2n45/zEC0/zh1mN5ixSDEiZFzu9OOIZFyLmKxKHPmNWG5EQb1edm6W16tLGEfCxG+LpbW4JIuCZKRx6HLNnyDerbPUDaW3JHcUsVVOVb5DXCh/RfK2yMCeWsaUTd4fuiYxLJK1GDPj7N0c07MRwpM+uvtNVPxY3wg/5XTJh5gTLh2IIvm3gg2sDk5nvAokKmaDpayXrpEdKSMIStYyq4lDgse6jImqE3KY0+ekQ7w8rkkbqvOJE5UYDxawafPpGKNwiP5BB83PfRXN41h5SLe5Jl6sdQujBIYkw/9EaR1ibGNHHjmXE4vEM1ad1E6MezGGScyE7MgxLVUnBIPlIc2mpDjEMuDBH9N5o9t2Wal2LMQlBWvxuM5vrUZkjn1GX9Lq1emmGu3fdM0MlJGPYEaMdUo4vwyH2HJOs/rAamGOZx1dQ2bszalzhA985YvNw5Y2uRZpF1nji0nq4r9yHWJpO0V1ugwX8npxEpYpaTrEFEHKAWT6tAbvYXLvPUWipMObUFRDMYm0pODoysjaUIOj7MoE/TtyoOARB55jGM+E+KwoJ+eQotBCubP6wVsrrl9SZRyJmT6PXNqCP3laR8lfR+0+5U0PEEZ9tNRAWqwIsWFbkLZ3U0THPM+7vOahdHeQ7kRhgsHdEvxbNTT3O+gdh4ie6MvySUPAsGP5lzb2ce6vgUuBTBU6xAlZ0B0mos+MirK2lREuwovfl4OMorsgh7iIn2kyruq2ThLRYbpvRR7lI8wZTEwQxF3DgPNrsdzoZYSjnVJetsOOCkNxNYOPk29jvTKeF3ovdY7fi1iUme0f0KIYTHdV/pjOX/5Uwj7kyV8GnTptuQOLKJgsk9QFk89FsqZTwM9pA0vgl1DZbaFz0MfwNERX2TmxLC6jmOpx3X4WyX+aQ8zpbL1QFYoTiqLqA9Qco4cb8OjauV7WxCFh7/VBTdasBUSK+px0iJfHVZcXToKOGb+i87fQplFaVeCjdLuB1n4X/ZMRwgNL7jNtrokXa93CKIEhybDI39ejfXRO+3PoX+IZq05Zho/LxRgmMbsKh5jsgy1vrLv8v0JcUrAWj+v85pcKxj7DPqbVa8uU/Zu3Qu3y1ElyjmUgRxBlHXSeLsIP4/Esx9MoRENLCz5ztE3nmBWbDlBL3XjHK7nUayez6DLwFUTqMlzIa6tjK/ppOsQsSpDciciAoAZTcmXZLGgrjtLpTJU00jXpMJuDCC9hMJ8BIZO8RQ3MQZAOMWAsd8lGtKNRn7jOrsnZLvVDLh2r5+J3zxbVrx4xTihpnfKDIi2CSQUozG8pguXw6MwnyZ0AACAASURBVJjxCJiVMqFNOJam7d0Y3a04gm+QnMJPs/0UQ0D8SWBn1Gr+KJIpQzHM9hjP7LYYdjK/lpe3HVp9ObMIL7pvb1RjGKilG7M7i/AzTcbtWtjvtOgwu8GdwvqxvpzODZhNq6rXwJFfNfVOplVc0iFORBCpjYxooyBKl2t+iQ/MNr9EcXHId4iNtA/zQf6rSN4WiXSlljFlkzdG12InskjWTHL5yprJY30lTDg99oSQIicqUl8s/2m2MDWqb9QLzF+22d6D4ZMGG0DjpCQThwSP9UFNdDiWw+I+Jx3iYntv4po2CTD5ROWN8aDAptGeATv3kmyMOdnTqDBsrslTVsqacCcwLHBMqI7EM7m4F2OYJicGRjZmWnfVqTWusevGvgdTdvhzOm+4fCTsA72nn7L2CnFJq5+3YvclzZcxxj7DnqbVq9NNbdi/ebs8xbCFMOohsMcyUUQedJ4uwg/5HDtmOZ5GIfoh0g5+ppVJPX2C7nHbW/021nb1OEtbTfqG6n7WSRZdBr7iYV2GC3md1eD7XTcdYjbA+Sjv8bc/UNWzsKXtQuRLADUNsMm3tBEkdmB1pkrS6NrCDjFbqvMRtzHDaC+Ary0l8lycmha5oDJlrD/i0etiYUrpx1E1Nnos1ye7ftkv+8g2W22WsaFy/KgECZmPpnq37hzjwxp8bSA1MGOCV0WXvRVjjulJi70TUOFXRNtpGyV9U9ksREt7rYpBMwmg34x3jr7lr1cxN0HEExH+bBK72Ys2yrfaGMk3GBiNkNOUI1OGYpiGh/HRs2WhrL2NgZf3qL/Sd2SvJ9NSEIrwok0+vsbrGY8G+ZkOcTE/uXEMCt9hmRodFtiRcfY3W+rNDAxjv4YB23xoAMx/GDjyS6beXcIhphw2xdMUPhLftc1XNlWGXIubvF8av95N0N8poabev1zgEItlyNg+AKb8pdBp2DDhDBW875PJnlHGlE2BsOEQF9mlJD4+Ko/jt9PMfqCNkLG+Mfy8MtrsbSEAGFY+yipFpVj+02xhgs5EvXyTGHdMaBJTsjbaWjTKQAN1UB/URId1OaS81Lw+y0HZSGMq0mEL2GSfCad44kLFWRlFd4FNO23Dv63pwkWI1ma8AYrSi7JtrpjI3h/yN7xcROjRqpxmX5J6kpRhkF1bq6Ev9D/xTAHuCZ5j2TFzEb0hHD1UH/PNsPPXQ7QCPzcFz3YkE/aBjV8yoFSES5qOcuFI6DPhlTf2GfY0rV5bpuh3ms0nJ99HeXND7WuxxFX91HmalGFbZtVj/CTL8bSK0U/K0y5vluElUlMBJmd+GY0nEWbC9s+ivrWZfY7oqIWO/iaalHbYpSy6DHzFw4YMF/E6q8H3u245xADIKfqCXsZcQmmNXs5cR+9M31Q1YjtePb+Eku+hdLuNUNtkpzNVkkbXlEOXMpNKMP98iCYp0tq6+CDBKPHatdmLDqqMvnWUPB/rf+7yjX/S2BXl31yEaN8uIasfefXLfiWOLOLnJQR/HnUFrWXRn+yUCfYGjIMqSuwl1j6CRyMMDfzIAcjue/x8CWX2Uu0SqgdZ7w+cI2Jt+VjfXIe/Vsfg2/yUCdbnCykD61hnPKihK7fGJ0ApkClDMUzDw+Wii/6jAD6TBcrTi/nMjamH1rf05gIf67eInwGa1qvO8vGiVxjxF5GXbgkMXuS/dq2InwQBS6sgHqYZHSrANqNqjnsCN+JNDeu++GjHWjUfYwNHXpmpd5azklLeJIEvKdJL1ZVz8naM/r0g2zaYFSSjWOz+HOMnGt5eCZX7+kvfixxi2thZIH9FNkwsgXvWRiuD/EQZUzZ5WXtQLNJNowVA2bkyymuk6310tQ8QMVv6sC/SmridM1+Qz2nKk/+EbRUkKJ1YI+eshMpeqDaNRV/rk04+SFbVpNHEIWHvjUFNoKTbr4I+0xM8rcKDp+3DUPTeStp7C1Vzkza7meQTw0U5xEUyNcFQyH15swQ/aKP/WE+ZkHY0w+bKPpM9IBtr2ZcEhkSzpmvrt2gsrBh2LfFMEe4U3MoZN9LkJIFRQids5AFpG8luEE6jE/stE/Fkij9t82aO8VGd2b3SGtnzddSPtNeU5eJiyqZBXYJ2ybOMsc+wj2n12nRn23wWebYmZAZt4ofO04X4oVeS5XjqZeQ5rQx72W+7mJ/10STfiPkgJLMVNJ9oPGBBCQ8LfUQkiy4DX0GYLcO5vJadWe0x6RDL+os+l/oRPjec+7lBQeciZWSXUo8F/Xjv+rVGWeqJirhpNy55mkub+JSjNpXJbiXt043ZpeM7hN0Cm/bUA0UypQryE8Mo0LOJV8eZhorha9Wh/8zFC8t/SnLV/NRpjc/jVJ742hWfLcnHdGoF3u+jD0XytxI606kvupova+bTWWX1ARLU14QyLyf/Zqv818eR4WTLWX1OljSvXPY5s5acX3kyVSRPy9jcHBKMW0VtGoUX+/HBMVyMjIJSBfZ4VbhcduwroF6/zfJ2rbe66Pc/2fNVYfy+HfyIdGQ7xO/bCfe8Q+A9ETAc4tS6TIcgtYi76BC4pggYDnFqH5z8p8LiLjoEPgUE3s4wnUbobmdHYz8FMh0NMQLOIY6xcGefGAJTSmXQvo6XJC9CdyuA+vpWsoC74hC4tghEBwGCA/3F/nZXnPzbiLjfDoFPBYH5Dy0EW1Ur3eBToc7RkYaAc4jTUHHXHAIOAYeAQ8Ah4BBwCDgEfjMIOIf4N8Nq11GHgEPAIeAQcAg4BBwCDoE0BJxDnIaKu+YQcAg4BBwCvzoE/v73v+Pt27eYzWhDsPv7lDAgvhB/3D+HwFUh4Bziq0LetesQcAg4BBwCHw0BcrY+JQfQ0ZI+IXFO8UdTCdeQhYBziC1A3E+HgEPAIeAQ+PUh4CLD6Q7op+aYE5/cP4fAVSDgHOKrQN216RBwCDgEHAIfFYFPzfFz9GQ76B9VMFxjDgGBgHOInSg4BBwCDgGHwK8eAeeAZjugnxo2v3phdB38JBFwDvEnyRZHlEPAIeAQcAisEoFPzelz9GQ76Kvku6vLIbAoAqkO8eznAbr7HXSejunL8hiHISarSuv5iJ/hWxSEZcrNz0KE54lvqC5TxeXKrhS3gs9iXo7C4qcKPpPJPiNbXMuvuMSKdW1RpOhztavS70Xb/CDlrgi/D9KXVVdq6jzTtff5bPaqyfsI9TkHNNsB/TjYnOP0++9x+j/FdLyXOJyH6D6JMMusxNSFzGLuRjYCFxGGL7MRzn5w0TszjA67CF8vWn415ZIO8c9dlP0K2schhtEUmA3R8H00TlbT+eLP8a6mYx+mlhmGX/rwvxzmKNuHaXmluL3uo+pV0V9U2C7GCF9O8d7TgNM2vO0+pqkQ0Wdol6AptY5rfnHFupaKRgoviz8RnFrTR704fx0hPCuwQR8Dv4/a6xU2Zuh80SefZxiHEabvrfAx/QvxLy5+ibNimhNO3/MHuHHjhvq7+Y+fofa37/HLRbHDZtb1Bufn53iT+xq3N/ju/9zEzebzD/emiwui480l6v8RD27+AXv/Tv3+BYef30C9f87qef7XG6gc/nKJOtMwfI4HN27gwfO0e+a1SwiAeGSGwd0NdNQHHueYvgwxvtBqNHRBu+5OMxBIYjg+KMPb7IJCpqv5l9TfedhC6UH4/n7HEgQmHeJcp2WJmjOKrtSxy2jj13h5pbgtaxBWJRO59TiH+KPIbQoProNDzOR/b/RRIPpVNmLofJFDvHpd/PD8K6bZdGJnmJFD/PkhfhGO7Jv/+REH/3wTN//lO5znOrem8zb770NUblRw+N/WdbuOX37Ej78UlLGfWeY3c/Af4Pkyz7Cy3Anmjupz3LtxA3/4/37EbHaO7/7lBnaPL+Nkp/XzIzjEUQcbWz1MlBJP0d/20D5VFwBDF7Tr7jQDgRQMM0pe/nKa/o7Q9usY6JOZyzew0JOGQzx51kFntwJvo4bWfge9U4rITDDc72D4itdHZej67EUPzbsB6vd7CO2Q3zREb7+J+lYdzYM+Iq1DhY7dbILhET1bReNhDyPtWaKApXPcryO420T3eJyI1E7DHlq7VVR3W+hZhHHaJxgfd9DYbmIo6Z6NMTiQ9A4wzglEMYyexeo2ezVEj+jZbqB1NErQY3Mhjz68myI86ghcu+hrSxJpuGXWNRuht9/DSO/HqyE6kr4Ug8BwfdhAlfVjqFJkZqc9QyakHCzCC0xH6O/zOjvHY8xTnLEYH6EQ5zOMGP9JdjRezMcYUJ8seRg/66Br8Tmuc4bxcTeWh5OJmG1OET7uYHgWl2T9ob4+HasZaZ6sZcpSjuyz1ui+wJlhovPlMrqmyy7x94J4P9QGhLiPWbyUDrHU6epuB4MzKzzIZLOFxjbXy0zISUcJx2djpqttYSMY3y4iLg93mwndJCqz5Jmwbu1swLvdQEfJNdmlHkbnJBcNVO8NMbXwYz1fgm4qn6UHEsVsmUijhz+V/Qy/Pz3to7NbVTZNR34p+5JjP0wngHTNchJUB0l+Gqh4G6g96KCj2Trosqbrpng2i9Z0/skGteNlbT+zdxk069XbjqLlEDOH+b/Iub2DbzTH9c1//4jvDr/CV4ff4cf/1p1DngLw/dE9fHbjM9w7+h7ff09/p7FD/eYX/MiuiXv/wSOvCef8guo6xFf/eojv/t2MyFL739NzVNe3B5wOjT52ndrYr+HGjRq+ku2FvxRErWOn9XlTRIKp/zflpIAc5Zt4EMblZjl0yj6d/8f3OPzXr3D49Ecr2p50iN/813N8f3JqldMHLiBPPzT2stPo6w1sfC3Dw6STLdQ2PFR2O8nx70zYDvJT5NjIarm8Lhfpuk4vH0N0X6qLwc9m36l8ll0Ek/shxmTzyQc5kP02WuF28iJjXJVFM8etdAyZjTcwy6GT2WUauzUajkJMZcpWpv7OEd73UH0iHTVJ7Ic7Gg7xjPJjH9fhbbUwCENEr8k0m8aTBs9gp476owHCMMTgUQW+38BQOipRB2WvjMbREFEUYXhQg7/ZRiSsfJpjF3cvQmfTR+XRANH5BKOjBsqbbYxEfuP0uI7SWhWd4xBhOET3bkkLqc8R7Qcofd5mtIfhAO3PfZQfRcrBYbTfrqL6oI+hXBJ8PUB9jdPL+rNfRWmthTAjp1I6D4xm6itLL4kwOR+h92UZ5b2Rai/uF50J+oImeidEfx+toITqkXSuqe8eyl/2MIwiRCdd1Pwy2i85cCZuBXWlOLzQnVHr/uxZAz7rxwhRNEL/QRn+zoClNrClTk0m5NIT48VmQ/RlgM62zgsA531GP8kBl5Mq6jvVgpSJALWdKpMdJVuK/zMMdz3UjzWDMQ/R8ivoicmaiTeV9+GTPJxGiE77aG36qD3lysUM575uQCbo3fbRCgXeJGs5/UuVpQLZL8ZkSV17O0Jb6AvhNTxqoLpTQ+C1kRZLzeIlk+nNQOk01VP2NFznETpBieklb6eJYK2agTvAZbWG5sM+4z3Jk3e7jvoXQjeP26j4G2ifCqMgdUPq7kkPTU03yC4NHgbwvugilHrL7FKAyp0qWk+GIqXHxA+C7uBeD8MwRPiklUt3nh6QbOXbH2rbpkc8o+RoyGyE1C2qk7VJ98MxJmdDtD8vofZE2ISl7Eu+/VjYIZ5PEYVd1L0AradhnKZSZCdzaE3nn6mtwAK2X+Fo2Zssmq0mpMOmjgs4xD8d1fAPv6tg998Ocfivuwhu3sSdI+mw/oTv/raHvb/cwR9u/AF3/rKHPfr9t+/wk3S+f/kOu3/6DJ/96TP88Xc3cOOvKSkT//scDzZu4rOde9j72z3Uyjfxx78+V87sL4cV3Pi8htpWDff+tod7O5/h5s07+EZGpM+f44Da/ZcAN24EqDMa9rD3b89jx1zSk3H86evP8NnXP2F2cg83//oA99b38OOMHFgt8l1A52z2Bs//+kfcLGt0bjzA8/+VDrXpEL95/gB/vHkHB/+hTzJ4Wcm6XP2QhdRxisGOh+YP0q7QMvwArS0P9cdhnPbHxr8NlLflWMx9BV8tzy+iy5YMSvuQJaOKxviEjSE7NVRpzCf7xOxieWG7yHW6gsrdOrrkE6WmlPG+ZI+rAHLHrXQMU/2RDPvNfcgAtbt1loorfTN/V6Se5ugva+f+x0ubMBxixirdcWIXzEGGDZ5fDjWnj4fTG8+EozKfYfxKc1owQW/LR/slFwQTyFg42BkT1JY2mM8xez0TbUXobOi5QeRjUsSpj4icV/asFV5/G6KpOUxJ2oFofwOVQ+mUcnrYNeWomjSyOsTSLevLQ831mM8wvZDKaD6HiwHqnkXf6xDdr2U0b47Z2cSIME8OA/iPuNNm4FZUl+XwMkp0vtr3304w1jcKzkM0vRoGcmKmP8sqI15oDlPi2hzhA9/ClWZ7foFD7KU+UxG8mP/QNJ6nHCP/tr48ZmI+Px+rSDfdYc8LRx+veqj4muPIfrfA/eGi/gFpsoRc2V8Ek+V0bXJUgW8Zi8lhBV6GQ8zQSfAyrS/mzHx2XE+0w66pAcTEncmqsWw5QsszdTd65COQekfy7DfNSSi7JvkhnGwjZYJj1TjR9c3Ej2j07g4MnZqGXXROTH1X1OfqQYH9EYGDBD2+2W9acdMnXiRH1W81ei6mSmaXsi/Itx8LO8QMDMLRzOcvspNFtLL7Bv8U6vyk0Pbn2RuqIkmz1UIyD9Z2iN/8gu/+8kctZeIXfL+/h+/+Qzp0M7w53sWNPx3EDi85mAumTFA+btIhfoPv/3ITf2QpCqKd//0euzcDHPwn/80c4j99hVPlzJ7jmz/fQOX//WT26dIpEzP8cnSH0UaOcb3/Iw5v38E3//k9dm/cEykYxXS++f4ebm6QIy3xeoPvGzcR/JukM3aIuTMcYO/fk84wTVjkvzz9kGXiI8mArW8py/1M1gJ09RXCVz0tkMDtiKnLRWNC0f2YSnnGxhBr/KIxSo1pRXYxrR+ycnXkfTF9HD4Wy3E1f9yiipIYMn2W+4GK6EyzjYz2BoaK1Rn6mzJeqa59gJPLOcSWYWNCq4e1380xPRshPOmju99ExY+X5wwgEx3iUY7Sdhv9kwiTmTbYkcBudKDH9PTHDWdH3eBRRemsMwE0aCdnfR3NI4rYxn8sGmU5GrJKow42syqhutfHMJpAJ1eWl0dGn5wRyYspx/l0jFE4RP+gg+bnPjxBr45bYV1M2MwBLS9CzMiYzzCJaJbaQ+dhHWV9QLSFknjxT7TsHWNGsz6aifPZOeFqGybhkEolSvQ9zZjxCJoncWMRYdkv7mAaEeNEncB8NkFEKxlHHbTuljWHmjsmMreMnMsNGTEu7J9wIg1ZEo1nyv4imHDjJWkyZE1UH+sad1qlbKuuG4ZdXY1PbF6SK7HnKTmTBe12qvs80q/0hK0apE9GdFnl9SWNHSsj8GPyvN3hURIlUzxKKaP/evm4ztiuJK9l4CM7mHXM0oMC+2OvpLHq6Rm/nbBZ+rIuj0oHqB8MMDqbYi6XEamCJeyL7E6W/Xg/h3gBO1lAa5J/kmJ5LLD9ufaG6kjKmKxZHlVkWDpszIGMN9XduPl73PnrNzhVEU3u2L35n1M8l2kILC3BytN9L4eYO4m1fZluQcdvcO9P8cY2HiGOc52pH6nO9Xs4xCyf+p8PcNDgm+ueN2/iwdEhKixSTDgU08lo2vlKpI3w/nzT/Aw3VE42r6P+1wf4443f49736c6w7hDn6odkrDqmyUDSmTN1QTzMxkwZIDHtMCtRNCYU3Vc0xidkY2XAS11lwSjuKBbaxbRxXlUkT6gvcUBSXk34EJnjFj2RxFC38YV0CodYjmucBptX9m9Bacp4JfvwIY4rd4gpTzTwS6jsttA56GN4GqJ7Jx64dCBTO/RuiuiY5wGX1zyU7g54PuTLNvw7/dTcSKpn+rQGT4/WispHD+MclOTAH6Hti1w5es2c/mflx0haE3VMIwyOKLeyjJJXQv2pFu2RD+XQp4rQ8nfgo3S7gdZ+F/2TEcKDqnJUdNyy+qrqSlMUXbCs+5OndZT8ddTuU57VAGHURyvPISZeiDxzAzOVd064Bskl9RctzSFV1IoToRDn1nXrmdGeDzazZc6xFXE3Hp1gcLcE/1YNTaLrOET0xGyfMOXLZOQcaw58Yf/Snch82V8EE8Ig1pWErAnnledU2cuDovPn9AYRadgNQPgPXQ7E7UXaqVAOnq4f7Fyubpjt6LLK7ySNHSsjJ3ukuyw/ONmGzFnXy8d1xlglr3F8Wi9M2vJ+5epBgf1JdYgznpl8G+s10TN7FaJPexiCdfh+oC2ZkuFYzL6gwH6YToApZ0lMbH4taCdzaE3yL9kq7aHItP259obqsmlO1p/qEGub6hL3Z2/w478G+IdyDXuH33FH74M4xHq6hUy72MPBc55v/FEcYsodprSmP9Xx3fkMP/2/Cu78uYab//yN2HRIzmw+neQQ/+GfKe0j7gM7V6kb3CG+cTNAZesmbja+V2khNvY693L1Qy8oZcAYQ5LOnKkLooIih7hoTCi6b9DJf5DdVatk6n4sx2ycz7OL1jiuqjBOqL6UsVgbB/LHLaosiaFu4wvp/O06xCl5nixlIh64dCANvqX9eDdGd8sDi4LRK5W8pljSjgurd9fS7tJEBJkiG/HsKDnwZzgVcfWJs2QdWpGfuwg8fRlAu5fY/Ur36H2IPApOM2F7eZdSJtIixBQ5MnfSmnWBzTJlJFXQoDuWhiKlLQVTyoT2vKY8rLbpALUUXoiWmAJRLpcdvWT9yY0QywhzXJOeNsKuUt9v9zCm9ImMKL4qZ8kDn8lqr32Ty/KRtfpQ2L80h7hI9tPu85Sd+FV0ZLxiXUmTNbomNxkk86ABliawUocYMNIbYtZkniV1PDby8iHDQaLBxEixkKXio1GeXTax4iXNa4RPYsCh93mn7g8o0IMi+5Nm9Nkztj3gkWuZyx73kJ8xO2DJrSqTY1+K7IfpBJg4qfrVic2v5e0kLFqT/FONpZ/otn8BffwgDvEbShn4TKUuMKctLQr7XhFieuXZzdxo6UdxiM+/Q51eQScjwjJ6rnKei+n88f/exM2/ZDu5Mspcf/oGM5GPfOdQplPINAt+TBcKsWKYpR+Wr8HrSDpzpi6Ilooc4iIZLLqf0iFm3+0xTF9VKrKLxjie0gC7xHU9zqvm5eJxNW1cIr8pHoeKHGIU0ZlmG+XkRb361bY5nE5m12SaY1YXV3h95RFiFsF7HL+dbvZDC2VtkE8OllpvTtsoqU1UFDoJ0drwxStTeN4LbVqTaSezsKU5wXwJvKbl402+pQ19cZpFmoNBThJt+lNvZHg3QX+HNrbIBFqNPmt5ebRXMjbRMXr0vFTj0RT6jqqxE3zahn+7i7FcMr0I0dqMl7JN3ArqYnmKHqqP+Vs45q+HaAVa/q6hSGQwfDTVe6bnGB/W4NsO8ZZGG5K8YBvG1mrq3cYkyAau533U1zQaDGzoBymEDz/QeCE25sXvlKRy5LiUUd6MN8AlqqIL1Ee/GecovR2jt2O3T8bAR3lzg0edVUXF/UuTpSLZn79so+zX0D2dsNy/yUkL1U09jYMbL7m0lN5G7BDj9YBtXGwdjzGdzTCNeqgHZWwUOcQGL9Oce35NOt4837qGvoq8zDDaK2P9kZY/r7CTm+q0iUfC+Nk5wUl5nr1oo3yrjZHQByb/xvu/Tax489Y1lheu0f1ugt62tTFT0V2kB0mZMO2P1TarN+UZ6pfahMzbVJvo6J0+ZBPEpHEp+1JgP0wnII1WBYTQxQDdn+NrRXayiNYk/+K62dmStt+2N9x+mDRbLZj5tpQ2QU5fboT4OXNWd5+KN0Ocn7LXst24YaVMzLizqMrJlAzrmJrmMJvhp68D3KDNZ+fCKbz4Cd/89QG+E2+SWNgh/uUb3LkR4CuZ87zU+5RF9FamNzAn38xTLqJz9p8HCG78EQ9O4jdp/PTtAzx4Kjch8jbUe4j/6xB3bv4RD54nUyc47/L1w+Yv/WYrwpoPIJ05IzhjjH+iFnZNrqyl6UdSl00ZLLqfpJbZd6+M9gvh0TDfw0dZe0sG7TfQfRrDLqb1I9EM74un+zjWuFo0bqVhWOSPGHQu7BAn9VdPL6OuzaMeWvthZqZAovtLXli5Q4zzIZrkfK2VUV7zETzqo6u9B9AE0qZ2juigylIPyrR86JVQPYjfEgFyar7g10trHvxbdfT010NdjNjbDjy/hJLvoXS7jVC+/cJyZuOW5xg/aSKg8rd43ZX76UvB9IzhpLyN0N0usb4Gt6jPVXTl6zTiBuKzixDt2yWk0zfB8F7A+lzeLDHHsP84XlpN4JZbFwlOF9U1D57ncSfzRPsohqVIsqx/q4x1n9I+rJQJ8PQDqksZlrdj9AW966zvFTT1VzTRmwMYL32s3+L9Gek0xKiIM1LcKvov6K0f/BnPD6w6eVEWac6ceMiKtfY31+Gv1TH41kyZoJJsY57+RgX5eEH/DDmQzxTIPhWbveyhsR0g2ApQ3x+BDId0gPigHs/M09qga8pRpQrPh6BXm1F91ft9jM8KUiZSeLlIO7MXHSZP/q11lDwf63/u8s2ssu/aMSGrhQ4xAKW761hnul0zdUmkBHhq00zaoJW8NvuhjQrVt1ZiulXZC9WEWiOZnRbqQa79SbbNKtXkKNVmCZnxbwWgFDE/aGIoJx5L2Zd8+7GcQwyw9BHPg8rfpy+W5tnJIloT/EugX2j78+1NGs1mG/ayfLFDPMP58T18dlPkGf+ugq++voc/3OBpBXp9vzzdjcvdrODwv4RzKxxL/QMg/Fx3qs/x47/ewe9v3sA//OPvcfPm71H7t1OVTrCwQ0wpHvsV/IP82MjvHuD5wk4xfxcxf/8w0c6dV/mBDt7XfDqpzHn4Fe78403c+N3v8fubN/H7nQMtJ9tyiGkycHiHvTFD4SUmEYpzefqhCsUnbBVQ7jkRl3lKgAdPRpat8Y8VK3SIAfI/e2U2HAAAFNVJREFUcmWw6H5MJjtjdvdhX6T2cbsa3LN8jzy7mNYPqw05prS+zRlXFxi3bAwTNj6PzoUc4jT9Te67ob0+HgUUZFQ00d/3u5B0iN+vPvU0pTLkbTJTBdNO2Cd+5dslUgoUfcb4Up+iFZ9zlBHalGYzL1F7y3Q2j76ivtlE5NVlly34fanPuRbRW/C55iySVCpMSgFjA1zKfePSJdtXdRT1TxWMT5aRfWbAV7kkpC+5xSSt7GyZvl2q0WV1acFGlpHtwrKXkAnayZ1nIxiuqakcNBDnP2tAUNCOUfZSPwrs5DK0prX/vrY/rU5xTXdglz1/s8gX4C79pTjiL/1d9ktz8nlxfHNufbFORH+lo6wdVbTWimbn41NM5xv6ct/CzrhFv/aWCcnOXP2Qheg4H6G9kbe3RC98yfMiHSu6L5o1AhGkN9o7BBKUXVqvzIk6s22JyvkFhnEeDRnPGZcvTadRC/9BK3zWWzhSSq300gdziFdKpavMIUC2jow2zWYTr3y7HvBQfm9pp6c+VDOnWfVtz0rXWLwv86iDYLOFIXtfOI9gDHY3xEbBxetxJR0CvwUE8p28pFPmyl8dJu8jj7TJi9IFP/V/hkP8wYg1HeIP1szKK55j9LCsvVN65Q2kVugc4lRY3MVPEYHxUQ3BVh0dmXP1KRKZS9MM0UGdLY2zVJZbFTSOoswl/NyqxM3JcRMVSlmh5e21Mup7Q0wus8qxSGOujEPgGiPgHNyrc3CXxf4ai9nCpEcHQcbX5RauYoGCEbpbAbriOxALPPCbLuIc4t80+13nHQIOAYfAbwOBt2/fJjfWLZUqcH0cymUd0E+pPPHJ/XMIXAUCziG+CtRdmw4Bh4BDwCHwURH4+9//7hziazABID65fw6Bq0DAOcRXgbpr0yHgEHAIOAQ+OgLkbLlI8acZ6Sa+OGf4o6uEa1BDwDnEGhju1CHgEHAIOAQcAg4Bh4BD4LeHgHOIf3s8dz12CDgEHAIOAYeAQ8Ah4BDQEHAOsQaGO3UIOAQcAg4Bh4BDwCHgEPjtIeAc4t8ez12PHQIOAYeAQ8Ah4BBwCDgENAScQ6yB4U4dAg4Bh4BDwCHgEHAIOAR+ewgkHOK8z/exz/59Ci/9p88D/mpfVTjHOAwxuYr+LfjJyatXkxmiE+2DFro8FPSByfDVd+CDUzA/CxGev+93OD84mVoD9EngbHqLbM/S/dVlRqNitaeWnC5TOcnxVdiAZWh0ZR0CDgGHwK8IAcshnqK/7cFL/X40v9c+XaL3F2OEL6fIHuYWqCuljvf/5OEc05chxhcLtL/CIvPXEcKzWX6NsyEavo/GSUG5/FoudXf6pApvu4/ppZ7+iA/93EXZK6P7M29Tl4f8PtBnLKvov/6ItH6UpmYYhxGmStFmGH7pw/9y+F5fwfsopMtGXvdR9doYyd/Gsejzo8v3V5cZo6lV/rDkdJmqmRzvpaOxeD22XNCTadcWr9GVdAg4BBwCv1YE0h1iz0P568jq8yUc4tP2+ztYKXW8/2B2ib5YaFzm52oGucu0vNgz+c7kYnVcRSldHvL78Gt1iH8F/Xovh3h5qdNlZvmnP/wTq7EVaXKRdu3D98e14BBwCDgEPnUEUh3i6n4HDb+M9ksVcgKQ4kS+myI8aqGxXUXjYQ+hFlqcnfbQ2a3A26ihtd/B8FUMxeznAbr36wjuNtE9HmdGsbLqkIPZ7EUPzbsBqrsdDM50WoncEL39JupbdTQP+ohUNHiC4X4LtQ0Pld0OOkej1PZZ28/GIFrbdwPU7/cwojouIvT3G6jebaKnd5i6l4PH5FkHrZ0NeLcb6Oz3MKIA8GyE3v4Q44sReoTHAU1CiD4Tr7x6Y1QBzMcYUN2qr/zu+FkHXUkro7HDcKvf76L/Mo5Em85kCh2C3onWaBEvp6d9dHaritcWl0RNU4SPuwi1yC3D/yDUotVThAcdDM8lbgJDAFIeqDKzDxqh7FQ4A+czjI6kbAwwjiHgD+Tw0a6Ry8kE87MB6yeTxZ/tCkkce2jtVlHdbSXlhqJ2x13BE+If0WfJQJY8M540UPE2UHvQQecZ5w7Jmzyfhl10no1N0knm9gcYS4bMxhgc5GBiPs30ovuwgep2A62joZHiQ233TmeQ+km6I8VPVTObYCh5QDp4vkCE+IXkWxUNol1LKdD7y9rQ+0P1s/4OIWVXyoykMdWG5MiBsg/CBnVfqp7FJ4w3sZySHo+edNDYJnvSTdqs+Ekux3sjTa7S5AacD2m2NE0u0q7JNnW8DkydWKivsh53dAg4BBwC1xSBdIf4yRTzH5rwN9sYqUHHcojnETpBCZVHA4RhiPC4jYrmRLP0gMd1eFstDMI4PWF6XEdps4HeSYgwHKCzXULpQZiaVpFVBxvMNgPURdvDowbKXgU96XRHHbak3jgaIooiDA9qrC8RG/xpyXCA1paH+uMwM6WDO1Y1NB/2Wf/6D8rwbtdR/6LN+sP7u4H2qfAoLDxosA/Wqoqm2VmIwcMA3hddhHJ5m0XFKqjcraN7HIp0CnLaPKjUFFFvcK+HIeH8pGXUa8rdDMNdD/VjzSGbh2j5EpsInU0P5S97GEYRopMuahrPTGfSooMasqJ4RbycPWvAJ16HY0zOhmh/XkLtiXRJTMpHez6qT+SMao7wvgdPT29gbTcREtzsPE59kM4N1Wj2wWwDoD4FqO1UQbJBcjt4VDHlvICPdo1KTgR/uCyW0VELLHNE+wFKnwu5OemhGZRQPZI4zDHaK8PX7je2a6htaTKQJ8/zKaKwi7oXoPVUypA5SUDUwcZGB4okmnYdVeBLvXs9QH2tHGOyX0VprYVQ6b7Za8ZXv4L28QhRNALphr8zUJMX4kewU1f6yTD2GxjKidrbEdqbvrIdhFl1p4agIGWiHNTRJj0Jh+h9SfrYSzi4jNIF6i+0IQVywPh+u4L63a5h3wykDDkl3fSZ7oVnE4xP2qis1dCnCV7KPylX9e1YbhqbvqE/ufqXJhdp16jtAv4v1NeUPrhLDgGHgEPgOiGQ6RADc4webqBMUQrWI9MhZkby7sCIrjInWhukkEh3iNDZkM6ZhCntmrwHJOsQg/2XQ82J5g6UcqjmM4xfaU4hJuht+WirKI7ZF601dcr6txUPuORMtbwNzdEBokc+gkPu2MyO6/Dvm449uyadDums6XmBbMAM0D1TzVK803CIqQ7PwplF/E6kQ6U/C8zDFnwtD5j9VjyZY3Y2MXg2OQzgP+KuEh+EZQ6xSQdrhdEr8zzT+GZeI6ej+q1G58XUiCTqlJt0j9Bea6H90EfjGecjOWGexNdwNEznz+yD3gKd8z5VBM/4XZIdHxXhoC7CR71WLidd6PFXcu43ZMrRxQB1v2k6l+xaizv3r3qo2PfpmjEpKpJn6lc8QWA93fPgKVmboHfbjydZpA+3fbTY7AKI9jdgYiKuKadd7zGAtxOM9Q178xBNr4aBmM8wZ9PQT65vkpfMGZe8FFVPDivwChzixomYfNIzrM24z6xN0d9F6k/SaNqQIjlI47uFkjVxEzzSHODZdIJ5xiZlVn+aXPhCbmDqGm/bvpaUC64DMW70XBH/F+provPugkPAIeAQuF4I5DjENPBRJGcDrRc0EOlOJB88ak9lRE90mjaEeQ0MpS9qO8Svegj+iVINKMoj/3i0tvmDNtjpGNp1WEvksihzvlSEkdIX5piejRCe9NHdb6LiaxE3oy+yBvPIBgHNsUwbSFgZNgiLwXSfRx1V31iEPHaq4/KiLcux41e508YjxLxe6UiYFGb8YhFhOeDNET7wzYgx+RLTMUbhEP2DDpqf+8pxMvus06HTKxziBXjJI4kB6gcDjM6mmYM/q505OEJ2KKJ5P8SMnHvmOFk4WLjpzpDZBxsj6pM5qaESzNnepQ1oi/FRrzWtPZ3PNEn0tjs8uq9knkd0aUWD3Wdt67XSBE6X1yJ5Tjo+OiZUM3MSpYNMDreKGFNb62geSX3kR7aaYTmtOoWYzzCJaGWoh87DOsqaQ263Tc/F+mnxUlZK8lTgEKtVE/aM2ee4zcXqj8tLApI0VnP0OY3vcU3izJBTHiH2A1oNGmEc74BMPEYXWP0JuSCHV8jvAvqXZrOS14r5v1BfU3vhLjoEHAIOgeuDQL5DTM7TaRtlFqnQHeIpBjseWi/sjlIUVTpjKdHdl234Iqe4s9+B/kc5h6n/LuEQE82BX0Jlt4XOQR/D0xDdO7qDofcltdWUpXdzAKanYseH48Fykq1+dfbjvMW4vGjTGDAlHdSOpDULZ1k2/UgRShbxZM5xHQN9qTrwUbrdQGu/i/7JCOFB9XIO8YK8nL0K0afc1GAdvh/EKSYJ0nm6B02Moq83eGSYnGTmuI3Q9rV+WLjpzk3+4C14qEXpGBkvWmLz52J81ElPa0/n8/RpTeSNm/JOsk959ex+wvGcoK/Ja7E8J2VTx4TRS5iJ6CI5xxv7MoEiQtsX+ce27Gbk10+e1lHy11G7Tzn4A4RR39D7RNuGQ8wxTkyAF8khNt5wY/Y5bnOx+uPyMTfpGl9lKpaDNL7HNYkzS07pDQ+TsM/3T9zy4Qd6Spr5NKv/of2WCU0uFtI/EyPegn2tmP8L9dUk3/1yCDgEHALXDoFCh5hSJ6JHZfi7HbS1QZqcFrUsLLtNUQu/Hecq2s7sdICaJ/JA5TNFR7uOwghxSh4tS5mQTiY1uGqH2EyfyOqS7iixMokBk67SgBXTSjjLtAxVb9E7SinCeruHMUUntSgTi4Ra6ReUMiGX1s2BLyVKqTstl+Ala19FJlVv1AmLKO/10N2SkyriZYDekw429Gi9hZvu3Jh9UFWLE46t7YzpaSN6Goz9dNrvtPYMPpPjYqTeWLWk5PeCUiqUDCwiz7aTY6aR8BZnGNylNIkIvS09Sp7hQFpkxj+1KKW8mJO+IIvEzibXFdt2sEj5SiLEYBOq2OHnFLDUI61+XWayaEzonSwoJ8O6TGr31Kklp+o6O6FXxXlJGyoKMRmy5YbhLFJTFtK/pFwkI8TF/E+TcbMv7pdDwCHgELj+CCzgEFMn+WYsTw3SAFjuo7Yp5N0E/R3ffF0bObNbXYxVnhwtZ/osL1nFg8/7qNHmEu0NAwasiTrSBnt9uZPOfVQex1mdsx9aKOu0C4c4LxUhOQgkBxfD8bHxwIxtllp/FEd5WHn93bCpAyZ32tTysF3vuwl629bGOQMwwa+NMsqbcZ4oK3Lahn9b48dFiNZmnGtq9pmnW2zcH2JK/LuI0Ltbgq+ciiJe0qTD3AQ0OSp4zzHh4fuGA0k0+X6c48v6YeGmOzdmH2xgCFsRmZMCSPLna5vgbLxT+KjXmtYeuybTE0S+bk3LpZ69aKN8q40R0wtySHyUHwwwns4wmxLOAcob8aSoWJ6pX4F6LzPRp2Mi6WUTjs0ymyxpmd3xBlqJCdNl2gBppUSxijhfm+o92XOMD2vwtZWhtLbpmsrxp02CvmY7ZiO0A1+TLUmxPFo6wS7TNTlxsvr7esB42joeYzqbYRr1UA/K2FCya5UXzRg0FshBGt8lteqoyymTba3PQo8VJuohfsLq90uoK7nh9sRXE9wi/aN6knKRdo3t/aAN1Bn8T/Z1gnC/hR7fpWxR7n46BBwCDoHricCCDrFwgA2nEpi96KC65sFfI0ephMpeaGzYoleIDe6WQI60cj7fjtG/F7Dy67d8eGsVNMWrotIhTNZROOCeD9EMqO4yyms+gkd9dLdjB4Pa4cvQHryMiGVyEDAHYKqDlVGOj4bHrXWUPB/rf+4i0nfqU0420SXzWPUBU3U+OfjPfqAd6Xk4q4fVCS2Le2oDjrw8wVBgX94ssSXb/uOslAkAEkfPg7dWx+CF9WqsIl6K5/1bAcpEf9Dkr02T5CSOPHJvRA9Zbmmg3tbBHrFw0+UhyTe9EcHDF/RWBR/rt0rw/CAhf0qus/ioVZnWni0XuBixt6l4/jrWCYdbNXR1Z+LdBMO9OoKtAMF2E/2zMftAjpoUST7kyDNLYyA+CYdJx0SRy1JoPLWBUF3HHOMnTQS+h9Ktda7L9+NUn7gcP5tHXa73t8pYJ6ft6TIpE7yOyTOtvTTZMhpN6oQd6Uz093zIXpdImFbv9zE+M2U3UV5MInQHNU8O0vhukEw/LDnlffaxHpSZfQjuZWPMZWiI0aMA/to61ok327Y9KbaltlwQWclr+fxP9FXIUfkgDjok+u4uOAQcAg6Ba4aA5RBfjvqiz6qm1lrwid3UZ5a8SHTlfA12ydoWL/6h2r0Uzmlkrxr7gvoYHvrEII2mK7jG8Mxpd+V8pM8FLySQlK6ivxWFE7lyehJ9p88nz/I3P2rPMPzU6o92Y+FT0d7C5d+joJ3OtURVq8V9OYwZmUUpUgX6t3hXL0Hb4pW7kg4Bh4BD4JNGYCUO8SfdQ0ecQ+BTRoC977aM1on4xPm7OcZPG9hIRPc/5U58WrTNow6CzRaGr8Wba96OMdjdiN+7/GmR66hxCDgEHAIOgU8AAecQfwJMcCT8xhE4H6D5OaUq0MdISijfbReklvzG8Vqg+5PjJiqUksXSfcqo7w0xea9o9gKNuiIOAYeAQ8AhcG0RcA7xtWWdI9wh4BBwCDgEHAIOAYeAQ2AVCDiHeBUoujocAg4Bh4BDwCHgEHAIOASuLQLOIb62rHOEOwQcAg4Bh4BDwCHgEHAIrAIB5xCvAkVXh0PAIeAQcAg4BBwCDgGHwLVFwDnE15Z1jnCHgEPAIeAQcAg4BBwCDoFVIOAc4lWg6OpwCDgEHAIOAYeAQ8Ah4BC4tgg4h/jass4R7hBwCDgEHAIOAYeAQ8AhsAoEnEO8ChRdHQ4Bh4BDwCHgEHAIOAQcAtcWAecQX1vWOcIdAg4Bh4BDwCHgEHAIOARWgYBziFeBoqvDIeAQcAg4BBwCDgGHgEPg2iLgHOJryzpHuEPAIeAQcAg4BBwCDgGHwCoQcA7xKlB0dTgEHAIOAYeAQ8Ah4BBwCFxbBJxDfG1Z5wh3CDgEHAIOAYeAQ8Ah4BBYBQLOIV4Fiq4Oh4BDwCHgEHAIOAQcAg6Ba4uAc4ivLesc4Q4Bh4BDwCHgEHAIOAQcAqtAwDnEq0DR1eEQcAg4BBwCDgGHgEPAIXBtEfj/AbOTX/xIdv/xAAAAAElFTkSuQmCC"}},"execution_count":null},{"metadata":{"_uuid":"d629ff2d2480ee46fbb7e2d37f6b5fab8052498a","_cell_guid":"79c7e3d0-c299-4dcb-8224-4455121ee9b0","trusted":true},"cell_type":"code","source":"# Let's define a function to calculate the metric\n\ndef eval_metric(FVC,FVC_Pred,sigma):\n    n = len(sigma)\n    a=np.empty(n)\n    a.fill(70)\n    sigma_clipped = np.maximum(sigma,a) \n    delta = np.minimum(np.abs(FVC,FVC_Pred),1000)\n    eval_metric = -np.sqrt(2)*delta/sigma_clipped - np.log(np.sqrt(2)*sigma_clipped)\n    return eval_metric","execution_count":null,"outputs":[]},{"metadata":{},"cell_type":"markdown","source":"# I downloaded my 2 submissions for testing purposes. Assume one of them is real solution and the other is your prediction and then evaluate!","execution_count":null},{"metadata":{"trusted":true},"cell_type":"code","source":"rand_forest_df = pd.read_csv(\"/kaggle/input/random-forest-submission/submission.csv\")","execution_count":null,"outputs":[]},{"metadata":{"trusted":true},"cell_type":"code","source":"rand_forest_df.head()","execution_count":null,"outputs":[]},{"metadata":{"trusted":true},"cell_type":"code","source":"nn_df = pd.read_csv(\"/kaggle/input/neural-network-model-submission-score/submission.csv\")","execution_count":null,"outputs":[]},{"metadata":{"trusted":true},"cell_type":"code","source":"nn_df.head()","execution_count":null,"outputs":[]},{"metadata":{"trusted":true},"cell_type":"code","source":"FVC = rand_forest_df['FVC'].to_numpy()\nFVC_Pred = nn_df['FVC'].to_numpy()\nConfidence = nn_df['Confidence'].to_numpy()","execution_count":null,"outputs":[]},{"metadata":{"trusted":true},"cell_type":"code","source":"eval_metric(FVC,FVC_Pred,Confidence)","execution_count":null,"outputs":[]},{"metadata":{},"cell_type":"markdown","source":"# Remember they will average at the end for the final submission score ","execution_count":null},{"metadata":{"trusted":true},"cell_type":"code","source":"np.mean(eval_metric(FVC,FVC_Pred,Confidence))","execution_count":null,"outputs":[]}],"metadata":{"kernelspec":{"language":"python","display_name":"Python 3","name":"python3"},"language_info":{"pygments_lexer":"ipython3","nbconvert_exporter":"python","version":"3.6.4","file_extension":".py","codemirror_mode":{"name":"ipython","version":3},"name":"python","mimetype":"text/x-python"}},"nbformat":4,"nbformat_minor":4}