{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "#### Be2 PDFT Inversion - WuYang" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from CADMium import Pssolver, Psgrid, Partition, Inverter" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "----> Begin SCF calculation for *Interacting* Fragments\n", "\n", " Total Energy (a.u.) Inversion \n", "\n", " __________________ ____________________________________ \n", "\n", "Iteration A B iters optimality res \n", "\n", "___________________________________________________________________________________________ \n", "\n", " 1 -14.43315 -14.43315 5 +9.929e-02 +1.000e+00\n", " 2 -14.43466 -14.43466 4 +2.091e-05 +1.556e-03\n", " 3 -14.45966 -14.45966 4 +3.488e-04 +1.777e-03\n", " 4 -14.43906 -14.43906 4 +7.463e-04 +1.847e-03\n", " 5 -14.46721 -14.46721 3 +6.627e-03 +1.529e-03\n", " 6 -14.44277 -14.44277 3 +2.213e-02 +1.032e-03\n", " 7 -14.44361 -14.44361 3 +1.180e-02 +2.694e-04\n", " 8 -14.43656 -14.43656 3 +1.373e-02 +6.894e-04\n", " 9 -14.42236 -14.42236 3 +1.320e-02 +7.353e-04\n", " 10 -14.41704 -14.41704 3 +7.746e-03 +6.876e-04\n", " 11 -14.42367 -14.42367 3 +8.328e-03 +4.942e-04\n", " 12 -14.43228 -14.43228 3 +9.280e-03 +2.459e-04\n", " 13 -14.43920 -14.43920 3 +7.336e-03 +2.153e-04\n", " 14 -14.44772 -14.44772 3 +1.101e-02 +3.033e-04\n", " 15 -14.45136 -14.45136 3 +1.873e-02 +3.397e-04\n", " 16 -14.44691 -14.44691 3 +3.135e-02 +2.411e-04\n", " 17 -14.44188 -14.44188 3 +9.820e-03 +1.377e-04\n", " 18 -14.43822 -14.43822 3 +6.350e-04 +8.514e-05\n", " 19 -14.43457 -14.43457 2 +2.320e-02 +1.130e-04\n", " 20 -14.43351 -14.43351 2 +2.596e-02 +1.247e-04\n", " 21 -14.43566 -14.43566 2 +2.672e-02 +7.855e-05\n", " 22 -14.43802 -14.43802 2 +2.550e-02 +6.005e-05\n", " 23 -14.43954 -14.43954 2 +2.037e-02 +4.552e-05\n", " 24 -14.44075 -14.44075 2 +1.329e-02 +5.106e-05\n", " 25 -14.44087 -14.44087 2 +6.738e-03 +4.446e-05\n", " 26 -14.43971 -14.43971 2 +3.407e-03 +3.569e-05\n", " 27 -14.43860 -14.43860 2 +3.292e-03 +2.890e-05\n", " 28 -14.43807 -14.43807 2 +3.827e-03 +3.107e-05\n", " 29 -14.43781 -14.43781 2 +4.070e-03 +2.685e-05\n", " 30 -14.43800 -14.43800 2 +3.290e-03 +1.770e-05\n", " 31 -14.43865 -14.43865 2 +1.932e-03 +1.924e-05\n", " 32 -14.43918 -14.43918 2 +7.566e-04 +1.837e-05\n", " 33 -14.43936 -14.43936 2 +4.130e-04 +2.006e-05\n", " 34 -14.43935 -14.43935 2 +4.281e-04 +1.529e-05\n", " 35 -14.43916 -14.43916 2 +5.380e-04 +7.981e-06\n", " 36 -14.43881 -14.43881 2 +5.464e-04 +1.010e-05\n", " 37 -14.43855 -14.43855 2 +4.303e-04 +1.054e-05\n", " 38 -14.43849 -14.43849 2 +2.412e-04 +1.128e-05\n", " 39 -14.43853 -14.43853 2 +8.933e-05 +8.551e-06\n", " 40 -14.43865 -14.43865 2 +5.332e-05 +4.024e-06\n", " 41 -14.43882 -14.43882 2 +6.946e-05 +4.884e-06\n", " 42 -14.43895 -14.43895 2 +9.087e-05 +4.876e-06\n", " 43 -14.43897 -14.43897 2 +8.934e-05 +5.356e-06\n", " 44 -14.43894 -14.43894 2 +6.197e-05 +4.212e-06\n", " 45 -14.43888 -14.43888 2 +2.789e-05 +2.079e-06\n", " 46 -14.43881 -14.43881 2 +9.303e-06 +2.150e-06\n", " 47 -14.43875 -14.43875 2 +9.104e-06 +1.946e-06\n", " 48 -14.43874 -14.43874 2 +1.284e-05 +2.176e-06\n", " 49 -14.43876 -14.43876 2 +1.473e-05 +1.767e-06\n", " 50 -14.43878 -14.43878 2 +1.233e-05 +9.149e-07\n", " 51 -14.43881 -14.43881 2 +6.881e-06 +8.606e-07\n", " 52 -14.43884 -14.43884 2 +2.423e-06 +7.434e-07\n", " 53 -14.43884 -14.43884 2 +1.247e-06 +7.918e-07\n", " 54 -14.43883 -14.43883 2 +1.642e-06 +6.373e-07\n", " 55 -14.43882 -14.43882 2 +2.161e-06 +3.192e-07\n", " 56 -14.43881 -14.43881 2 +2.170e-06 +3.181e-07\n", " 57 -14.43880 -14.43880 2 +1.462e-06 +2.965e-07\n", " 58 -14.43880 -14.43880 2 +6.386e-07 +2.871e-07\n", " 59 -14.43881 -14.43881 2 +2.173e-07 +2.076e-07\n", " 60 -14.43881 -14.43881 2 +2.015e-07 +9.987e-08\n" ] } ], "source": [ "a = 4.522/2\n", "#Nuclear charge for fragments A and B\n", "Za, Zb = 4,4\n", "#Set polarization 1-Unpolarized, 2-Polarized\n", "pol = 1\n", "#Fragment a electrons [alpha, beta]\n", "Nmo_a = [[2]] #Number of molecular orbitals to calculate\n", "N_a = [[4]]\n", "#Ensemble mix\n", "nu_a = 1\n", "#Fragment b electrons\n", "Nmo_b = [[2]]\n", "N_b = [[4]]\n", "#Ensemble mix\n", "nu_b = 1\n", "\n", "#Molecular elctron configuration\n", "Nmo_m = [[4]]\n", "N_m = [[8]]\n", "\n", "\n", "#Set up grid\n", "NP = 7\n", "NM = [6,6]\n", "L = np.arccosh(15/a)\n", "loc = np.array(range(-4,5)) #Stencil outline\n", "\n", "grid = Psgrid(NP, NM, a, L, loc)\n", "grid.initialize()\n", "\n", "part = Partition(grid, Za, Zb, pol, Nmo_a, N_a, nu_a, Nmo_b, N_b, nu_b, { \"kinetic_part_type\" : \"inversion\",\n", " \"ab_sym\" : True,\n", " \"ens_spin_sym\" : False})\n", "#Setup inverter object\n", "mol_solver = Pssolver(grid, Nmo_m, N_m, {\"tol_orbital\" : 1e-9})\n", "part.inverter = Inverter(grid, mol_solver, {\"invert_type\" : \"wuyang\", \n", " \"ab_sym\" : True,\n", " \"ens_spin_sym\" : False,\n", " \"tol_lin_solver\" : 1e-3,\n", " \"tol_invert\" : 1e-4,\n", " \"res_factor\" : 0,\n", " })\n", "\n", "part.optPartition.isolated = True\n", "part.scf({\"disp\" : False,\n", " \"alpha\" : [0.6],\n", " \"e_tol\" : 1e-7})\n", "\n", "D0_frag_a = part.KSa.n.copy()\n", "D0_frag_b = part.KSa.n.copy()\n", "\n", "part.optPartition.isolated = False\n", "part.scf({\"disp\" : True,\n", " \"alpha\" : [0.3],\n", " \"max_iter\" : 200,\n", " \"e_tol\" : 1e-7,\n", " \"continuing\" : True, \n", " \"iterative\" : False})\n", "\n", "# #Store full densities under the presence of vp.\n", "Dvp_frag_a = part.KSa.n.copy()\n", "Dvp_frag_b = part.KSb.n.copy()" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(-5.0, 5.0)" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "full, x,y = grid.plotter(part.V.vp[:,0])\n", "fig, ax = plt.subplots(dpi=300)\n", "\n", "#vmin=-0.3, vmax=0.3\n", "\n", "plot = ax.contourf(x,y,full, levels=20, cmap=\"viridis\")\n", "ax.scatter(4.522/2, 0, color='white', s=20)\n", "ax.scatter(-4.522/2, 0, color='white', s=15)\n", "\n", "ax.axis('off')\n", "\n", "\n", "\n", "ax.set_aspect('equal')\n", "ax.set_xlim([-5,5])\n", "ax.set_ylim([-5,5])\n", "\n", "# fig.colorbar(plot) " ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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n9mCGUg8449snKRRIm1ObiiQU/SFN2/pD6T9HGNOXwlOWIJTwm7P+7f7rjGv0+yCcEKI/A1KqgJSQ/fsGbpvPNx/DEMe1G0aeo6pasopUARnSt0XEPgkRPib6t6GdI6QxZYxiQxESToQAhIY+YSLvt/sDLCBhgqyxCEkREWD5YUNvxGiXTR8ZU4WitYW2Xw0HXBL9AZgSHuUyj3j1B2EKIOzobamNydeRcMGHEMIN4LsArgIwFUArgJcA/EhKWTPOe+UBuB3ApwCUAagH8CyA26SU7dHqc+SLKkDRHNNoxlLtzbI7JyYvl5bKl0QGH0RESaSh06uNahxoxeEDO5DRsAELsRtHK3twrTgAlwgAjvHdU7W7IR2ZgDMbwpUJxZUNODO1h76dNUQ7S5u62n+uUzsmHJ6E+BRVDHhOSFIaAYwaGhzMDBXgmM9TQ9p+NWjaVrW2DJn2DdwOjnq9VIOQqopQKAAZCkFVg5BqCGq4LdUQVDUEGQpAqiHIkHZcqkEgvA21/zlk6lMQIvxaIrxPqCEIGYKQWr8UVdsWUoUitfEKfVv2TwJLonf+CcAmJGwIAgiO/SI54HkcMtTu8V80BgkVfIQDj1cBnASgDsBzAKoBXA/gQiHEiVLKvcPfIeJehQDeBTAbwD5oQccCAF8FcL4Q4gQpZcukO213A0s/awo0Fmq/wCl2IpLOWek8GclAAGpfH9S+PkifT0vqtNm0JE+bog1f2+1QMjMhFGViryEl1J5ehFpbEGxuQai1BaH2dshAADIQhAz2PwKAKrXX1RNMw5/G2hQIuwPCEX44nYO2FbcLwu2B4nFDuN1Qwg84HAnx5o2sFQip2FHXhbUHW7F1fw38Bz9CVe82LFN244vKXhSLzjH9JQ66C2CbcixE1bFA5XKt7pEzUwscHJnatA6yhhDaSA5sgG2cUWOMifBjYr9F40BVI4MpPaAKmh4DjpuDsnBbDQahqgGEgkGEQkGowUA44AoiFAyGg60g1PBDhoJaIBYKhgOvoBF4hYJ64Ga8vrEtZPhZDUGoAS3wMj9ULbiKCLzCwZciVdikKQtHquFxjBCUNBpBS7TfVt+DFni8C+BsKWU3AAghbgXwvwAeAnD6GO/1a2iBxzMArpRSBsP3ug/AVwDcDeDaSfc4vxq45P5J34bGoWyxsd20HQh4AYfbuv6kOSkl1K4uBBsaEGhoDD/XIxjeDjY3Q+3t1R59fZC9vZCBwJjuLVwuOKdOgWPqNDinToVz2jRkf+Is2AuHzo2SwSB6P/wQnS+/jO5XX0OwqSmaX+r42GxQ3G4IjweKxwMlKwu2zEwoWVlQ+p+zMmHrb2dmaefk5sKWn6c95+VpgQwllf3NPXjqw/1o3rsensYNWKDuwsnKXnxOHNESukd5f6oqDoRKF8Mx9Tig6hig8mjY86vDKzYRpRBFAaBMOmgL3yXh3tSOix6IDR14STUANRRCMOBHKBRCKBRAKBCAGgpADQURCga0wCsUDsbC+9VwcCbDbWOEKxgx2jUw4JJqCF77nwGMtDrrxAgpEyPSEkI4ADQCyAOwXEq5fsDxjQAWAzhGSrl2lHuVAaiFNkFwipSywXTMBeAwgAIAleZjE+jz1vnz58/funXrRG9BExEKAD+rBEI+rf2F17VPAinmQl1d8G7ejL5Nm9C3cRP8+/cj0NAA2dcXtz4oOTmo/PXdyDr55Ij9Pf/5D2q/9W2EWiY/oJlIhNutByK2vLzI7bw82AsLYCssgr2oELaCAtgLCiDsSf0nOKmt2V6LvX+5FZfjdXiEL/Kg/uc2MojwZU+Fo+poKFXLIcuXAaXzAZspycOUrxBBK2ABYwlZMeghMMx+BjJENIoFCxZg27Zt26SUC6J530T6C3UKtMBj78DAI+wpaMHHRQBGDD4AnActCH59YHAhpfQJIf4J4IbweSsn122KO5sDKF0AHFmntes3MfiIARkMwrdnD/o2bkLfxo3o27QR/r37Br8BijO1sxOHb/oiSr/zHeRfczWEEAg2N6Pma/8Ntatr8AVCwJafD3thIWz5+RAuF4RdW10Edps2rUoRkKqRfCpD2jxtqapAMAgZ8EP6A1ADfm3UJhCA6tf2SZ8PqterBWAx+LeRXi+CXi+CDWP/nMSWlwdbUSHshUVGcFJYCFthAeyFReHAJVcLZHJyIByJNVVkOFJKSK9Xn66ner2Qfr+2z+uD9If3+fyQPi9Unw/S64vc9vu0c30+qD6vti8QAEIhfQ48giHj/73pWYaCQEiFDIX0883PajCEIqmiCMAhjGflwgCA98KPOBstYFEUI1gZbzu8DUVAYEBbTzTv3w+9rsaQ15vOFUp4MpGiILzET+S1A47rrzXE6wzuyzDnm/upKMb9h2ub7qlP4xzm9Yx/v/7rBt9j8D4Y/0YQkffW941yHwy4pn9f/731h+naQfsH7gsHw8rg7ys9SNb7NMTr6f0Y4r5jCbSH+55msJ1QEin46J/Iv26Y4+sGnDfZe90wxntRIipfbAQfTDqPmr7Nm9H1r3+hb8NG9G3dCtnbO+ZrhcMBe0kJ7KWlsJdqz6K4EGphHtQMF4IuO0IuO4IuOwIuGwJOGwJOBQGbREg1hpBDIb82R9fvh9LUCntdMxxHtEfeW5uh+INAKISGn/0Mmz96AftvPBsz738BReHAQ7Ur6FwyA+0nHYWupTMQzM2CYrdDQPsDJIT2RkgRCvr/XClC0dpCQIFpWyhQYNruf4T32YRNf1YgYAuoUAJBKP4gFF/AePT5ofT5IHq9ED19EL19QK8X6OmF7OkFevugdncj1NWFUGcHQu0d4/q3HyjU3o5Qezv8e8aUIgclIwNKXi5sueGRlXBQ0h+gKP37srL0NwbmQGvQCLq5aT4mVah9Xqh92jQ82dcHtbcvPCXPtK+nV88J6j8mw/usDn5HkpRvb/pLjpt3DXVafHpDFFMyHET1Bz39v8/0/eYgRQ94hrlOhAtdCtP5Ec/af6T5uNAPaNcLof1wCfNx43XkoP4Yx+VQ/e2/78D+9PcFcsjXAYyinuZ/h77DB4f+h5ykRAo+poafh1vRqmbAefG6F4QQw82rmjmW6ykGWOk8amQohK7XXkPrykfQt3a0QUUgkOlC24wi1E3LRm2FE825As1ZKppdfvSFvPAGa9EX3ANvyAtVqkAHtMdECQCV2mP6FIlvPQUUhQc4Sv61Af/p3Ijj3zPeGj38MeDlYw4AOADsmcTrxoodQE74YaIIBTZhg0NxwGHzwB3KQq7fhtw+BTlegSwvkN0HZPVKZPVJeHpDyOwNIbMrAE9XAJ4uHxy+YZaiHEV/Tk7wSN2kvzwiokQlpAy/M48Mp5Pyg4M4UHxjy88cr0QKPvrLVA/3cV/PgPPidS9KRObgo2ErEApqFVVpzELd3ah94jF0PfY4lCONQ54TVIBDJcDuCqE/6guCkKIBgGkakDf8iLH9ZQLfvc6GH/8lhIpWbd8lpsBjXynwr+XJ+WdElSpUqSKgBoCgFq81KAAyw49RCbj8NuT0Ank9QE6vRF4PkNsD5PZI5PaGn3uALC+Q1QfYk3yVy6AC+O1AwK49R24Lre0A/DbA7wAC4WftPKFfE7QBqgBCCqAq4Wehbfc/9+8LKcI4FrEfEftVAf0Tz4i3OQP2ySG+XUc81v/hpDSe9Q9W+7fDz4POGev+geeYjo/aDj8r4Td5Svg+SriuQkR7mP1i4EO/5/jO6b/vkP2VUjtm+lpHvQaj7B+qPdq5Q/Uh4no54r0gwytZjaMfQ71ORHuI74mRjo94TX//iEwS6d1a/+/P4UZ3x/OOIpr3wnCJNuERkfnjuRdFSckCQNi0lSGCXqB5l5akSYP4Qj4c7DyI/R37caDjABoObkf5i+uw7N0mZHoH/2HYUQl8MFfB7gqB/WWA3xG9N/N2xa59sh9+OG1O2BU77IodNmHTn23Cpo0EKLaIqU39z52zt6Pi/cGf0m+4+licPi1X/8lXoWp5ApARzypUrb5Y+LgqtXfhqlQj9qlShYSxPeQDKlRVRUiGoMrI55CqbQflONZknwSfU6DJCTTlAaP+mpMSroARiGR5ZfhZa2d6pekYkNUn4faPcLsBLzfUG24A8DkArwPwOQS8znDbOfw+rR2532fXgghVSc5AMz0k3v+b/mmW/VMv9SwBYTpmOmeo9nDnmO812jkD8w+Ge82I7QH3HbKPQxwb7jVGe92BhrputNcctF9KKOFfFAMDHgBQIPSRCSU8d8gIaqQR3ECEr5EQUujnaPdAxHUKRPi8yOv0c/TXN/oGQNsOT0cUMvw9I+WgAEuYftHp9+6/xvxvE76X/hpSGkf7+9b/RQx4Df3eg/oceW8AEf8WwnSd+Vy9XwP7IMSgfd331gJNI/zin6BECj76M0WH+4wvI/w8loon0bwXJSKHGyieBzSGZ8TVbWTwEaZKFdtbt+Otmrfw1uG3sLVlKyQkquslLvxAxae2y0GfeKsCeG+ewKpjFeypjPwDYlfsyHflI9+dj3xXPvLcechz5SHfnY8cZw4y7Blw293w2D0Rjwx7BjwOD9w2N5w2JxxK9OpeNHzwC7S+/8ig/d+79gEIZ5xLQY+RKlWE1BCCMoigGtS3Q2oIIRlCUNX2B9QAgjKIQCigbYf39T+CqnEsoAYQCAXgV/3whXz6tj8Ufqj+wftCfgRlEP6QX79HdyiAVtWv3ztewVK02IVdD1T15wHb/YGtoija+abj/VPeFKFAUZRB+yJye8Lt3fsOYFb7f+BGEDYJKJAIVJwIz/TjBl03Wh5Rfw6S+WHeN/Aees7SgPylIdvha/t/9sz3HtQW0M8138+83f9GfeBxff+Aa4AB+4faZ97f/zoDzukXcXzA6+vXDPE6RDR+D/x1ARqatkX9vokUfBwKP1cNc7xqwHnxuhclqvIlkcHH0qus7Y+FegO9eLfuXaypWYO3at5CU59W30JIiWV7JC78UGLhwcEDgb1O4D9He7D7rDkomD4PF+dUY2rOVBR7ipHnzkO+Kx+ZjsyE++Nty88ftE+4XAkbeADhpHabAsd4S1dboH/6lznI6Q9WZPhTQ/OoUP815hEmc9t8bsQbe9MbfQXDv/Ef6vz+gKP/TXS8hFSJRx59AP9v/++REV5KNwQF3Wf/L3JPuiGufSEiSkaJFHxsDD8Pt2Zq//6xlLSO5r0oUZUvATb+VduuT7//lYe7DmujGzVv4cP6D7VcAZOsXolvPhPC/MODrw0U50JccRFmXHUdji6qjFOPo2eo4EPJYgpXtChCgcvmgsvmsrorCSUQUvGXB+7GNUd+BofQkvsDsMN78QPIXfYpi3tHRJQcEin4eAdajuVMIcSyIWp9rAg/rxrDvV4CoAI4VQhRIqXUs2nDRQYvCh9/cfLdJsuUmyqd123SajQoqZvaFlSD2NC4AW/VvIU3a97Evo59w55b1CXwP0/aUdQQufqRe9EiFF5/HbLPPjshCtF19AWwt6kbIVWa6qhJfYpqZZ4HVfmeQSMvtvy8QfdSsiJnWTZ1+bC5th27Grqxu6Ebuxu7UNPWh5Aq9dfpl5vhwOLKPCyZkoslVXlYWJmLTJf1/z6UOLyBEJ76/Y/xueb7tCrlAPqEB+qVf0H2vI9b3DsiouSRMH9dpZR+IcRvAHwfwG+EEGdLKXsAQAhxK7QCg29LKT/sv0YI8WUAXwbwDynld033qhNCPA7gswDuF0J8Wkp9EvOdAIoBPCalrI/LF0exUbbI2PZ3AW37gcLUW/24L9iHp3Y9hZVbVqKxb+hVqQAg25mNUypOwZmYi+m3/xmqqShd1umno/CmL8CzfLmlU6i8gRDWHWzDO3ub8faeFmyuaYc63LIQYcXZLiyfmoflU/OxfFo+lk/Nh32IkQ9bVjYAYHNNB/64Zh9e2FynBxqj6fQGcbi1D6s3a0nsigDmlGZjcVUuzpxXgnMWlCXc1DOKnx5vAC/cfyuu7nxUzy3oVHLhvPZpZE471trOERElmYQJPsLuAHAWgJMA7BZCrAEwDcDxAFoAXD/g/CIAcwGUD3Gv/wZwAoDLAOwQQnwEYAGAhQD2Avh6DPpP8eTKBgpnAS3hYg51G1Mq+OgN9OJvO/+GR7Y+glZv65DnzMidgdOrTsepVadiaclSBLfuxOGbbkKorU0/p+iWW1D0lS9b8uZZSokttZ14e08z3tnTjA8PtMIXHN/6rk1dPry8tQEvb9WCqUWVufjDaYODj4DLg6v++B7e3dcy6X6rEthR34Ud9V144qMaHD0tHz/+5AIsrMyd9L0puXT0+rDmN1/A5b3P6ftabSXI+sLzcJYdZWHPiIiSU0IFH1JKrxDiYwC+C+AzAC4B0AbgEQA/lFIOMXt92Hs1CyGOBfDj8H0+Ba0wwW8A3CalHPrdHCWXssWRwcfCS63tTxR0+bvw+I7H8ei2R9Hh64g4ZlfsOK7sOJxWdRpOqzoNU7Kn6Md63n0XNf/1Zaimytil3/8+Cq65Om59NzvS3oev/W09PjzQNuJ52W47Mpy28Ko02j4BIKhKNHb5Bp2/ubYDX3y+FXcO2L+uJTAo8CjOdmFheRYWFUocletHdUYATrsNUGyQQgGEDVLYUON144NmBzbWdGBTTQe6fZGrPa092IaLfvM2Pn3sVHzz7DkozGIuRDpo6ejGxt9ejQv9r+v7GpxTUHDzajgKplnYMyKi5JVQwQcASCn7APwo/Bjt3NsB3D7C8TYAXw0/KBWVLwG2PqNtJ3ml8w5fBx7b/hj+sv0v6PJ3RRxz29xYMWcFrl94PUoySgZd2/nSyzjyrW9BBsJJ53Y7Kn7xC+ReeEE8uj7I6zsa8fUnNqC9NzIJ3oEgFjnrcEFxI07w1GB6YC883QchwismwZSHAQUIlWajy16IRjUH+71Z2NrpRq0sQk130aDXlGoPPmN7FVNFAxZntGFBRhtyAs0Qh1uAQyNX/p4N4GOZJUD5EshTl6A+czbWB6vxzF4bXtnRqHft8Q8OYfWmI7j1E3Nw9QnTYLelbo5RuqtvacP+312OM4P6TF/UeOah4pZVULKLLewZEVFyE+akSxofIcTW+fPnz9+6davVXUlfe18H/nyJtp1RCHxrL5Bkc/Nbva3487Y/4/Edj6Mn0BNxzGP34NPzPo1r51+LQk/hkNe3/f0J1N9+u1EQyeNB1X33IuvUU2Pd9UGCIRV3/WsXfv/mXgBAITpwju0jnJFdi8W2gyjp2wtFjU7Bop1Pl0ENGG/+82d3o+zozqjcW+fORVPpKfhW8wV4oyUv4tCc0izcftECnDRrcCBEya2mrg7Nf7oUS1Vjffv92Uej+r+ehXDnWNgzIqL4WbBgAbZt27ZtuGLbE5VwIx9E41K+xNjubQE6a4Hc4cq7JJbmvmas3LIST+x6An3BvohjWY4sXDXvKlwz/xrkuwfnNwBaPkXLH/6Apnvu1fcpubmY8vvfIWPZspj2fSj1HV585fF1+PBAG2wI4XO2f+FW+1PIFn2AN/qvZ3OpEcGH4hjlgxTFDrjztOBUDQEypD2rIWDAv7/O24Hig6vxsHgJ22ddhi8d/gQO+rRVtXY1dOMzD7yPi5dW4M4Vi+Gy26L0lZGV9h/Yh8Ajn8JSeUDft6fwDMy8+W8QDo91HSMiShEMPii5ZRQAuVOAjnA6UN3GhA8+Gnoa8PDWh/HUrqfgC0XmNOQ4c3D1/Kvx2aM+ixzn8J+wSlVFwy9+gbZH/6zvs5eWYuoDf4Jr9uyY9X04b+5qwtf/vgGtPX4sF7twh+NhzFcODn2y4tCq0Zcv0R4l8wG7OYciPHIlJeBtA7qbgO4GoKcJ6KoD2g6gq24P7C4VgW7jKp/dgdrsJaicuQjIr9YeuVVAZjGQWWgEHkPpbgLqN2rfP3UbtaWb2/YbPZIhzK95Aq+7XsC/Sq/C1w+fhD6p9fm5DUeQ53HgxxcvnOg/HyWIXTs2w/O3FZgOYyHEnRWXYO7nHwRs/HNJRBQN/G1Kya98SWTwMc+aPIfRdPu78cdNf8Rj2x8bVBAw35WPzy34HD4999PIco5cLE8GAjjy/e+j8/l/6vuc1dWY+uADcFTGt2BgMKTinld247dv7EG+7MQv7X/DlfY3Ik9y5wILLwPKl4aDjaMGBBvj97NnNmH+qz/EMdil7/u5+AzuuPk2IHMCVc6zioFZZ2mPfn3twJ5XgNd+ArQdAAAo/m6c2/gnnJn/T/zedhXuaToaKhQ88u5BHDu9ABcurpjU10XW2brhPRQ/+2mUwFggYdv06zH/c79OuqmcRESJjMEHJb/yJcCOcO3JusSrdB5SQ3hu73O4d929g5bMLXQX4vqF1+PyOZcjw5Ex6r3Uvj7U/vfX0f3mm/o+94IFmPKnP8JeUBD1vo+ksdOLrzy+Hh/ub8ZVttfxbfvfkCcic1aw9LPAWT/W3txHUX6GE62uyJGhXrsbeR5H9F7EkwcsWgEcdRHw4YPAm78EvO0AAGdvPb6KX+PCzGp8r+9qvKfOx/97ejPml+dgRjErrSebTe/+C9Neug65pu/frQu+gQWXj7ruCRERjRODD0p+ZeZK54m14tXahrX45Qe/xPbW7RH7SzwluGHRDbhs9mVw291juleoowOHb/4S+tav1/dlnHACqn7zG9gGVPeOtSPtfbjkt++gtHs7nnE+hKXKgGrrpQuB8+8Cpp0Yk9cvyHSizhn5NasZmVCUGHxCbXcBJ94CLL0KWPO/wPt/AEJa0vyM0AH8xfFTfD7wTbzhW4Zb/rIOz/7XyXA7mP+RLNa/9hTmvnkLMoQ2BTIkBXYc+xMsuPArFveMiCg1Mfig5GdOOu86os3fj/In7eNV112Hu9fejZcOvBSx321z44aFN+C6hdfBYx978mqoqwsHr/kcfLuMaUbZZ5+Nirt+BcU5gWlGk/SL1Vtwc9+fcJ3zZSjClOjtzAY+9j3guJtiOkc+L8OJnQOCD5kR4wDMkw+cfQdw7Be0qVibnwQA2ITEvY7f4iL/T7GjHrj9+a34xWWLR7kZJYJd697CgjdvglNoSzH7pR17TrsXCz5uTW0cIqJ0wEXqKflllwGZptoX9daNfvQGevGb9b/BRc9eNCjwOG/6efjnp/6JLy390rgCDwBo/N//jQg88q64ApW/vtuSwGPtwTZUb/s9brC/FBl4LFwBfPlDbZQgxsm5BZkOdAwIPkRWnKY75U8DLnsAuOFfQHiqXK7oxR8cd8MDL/724WE8vbYmPn2hSel48zd64NEj3dh/7iOYz8CDiCimGHxQ8hMicvTDgqlXUkqs2rcKFz17Ef6w6Q8Rq1jNL5yPR897FHeedifKMsvGfe/e9evR/vcn9HbBtdei7Me3Q9jiP7VHSonHnv0nvmL/h7GvaA7wueeBFQ8COeVx6Ud+hhM9A5Y9tWXHOddi6vHAxb/Rm0cph/FzxwMAJH7w7Bbsauga/lqynBoKYUbHe3p7+9G3Ye6JF1rYIyKi9MDgg1JDuXV5H1uat+CaF6/Bd9d8F429jfr+Ik8RfnLyT/D4BY9jWcnE6m7IQAD1t92uFxB0zZ6Fkm/cCmHR6jurNxzETS2/giP8abEvoxzixleBGafHtR/5GU4EBoyu2OM18mG28DLgxC/rzUts/8H1tpfQFwjhlr+sQ48vGP8+0Zjs3/ouCtEBQMvzmHXSZRb3iIgoPTD4oNQQMfIRnxWvGnsb8f23v4+rVl+FjU1GwONQHLhx0Y1Y9alVuGTWJVDExH/MWh99NGK6VdmPfwxhwVQrAPAGQmhadQeOUg7p+1yX/Q6woOJzfqYTnc7I1cGcudlx7wcAbTWvaqOa/Pftf8HxYjv2NHbj+//YDClHKX5Ilmhev1rf3uWYh7yiUgt7Q0SUPhh8UGowBx9t+7UaDTHiC/nwp01/woX/uBDP730+4thZU8/Cc5c8h68t/xoyHZNLgPbX1KLp/4xpPXmXX46M5csndc/JWPXyC7gm+LTe7lj4OWDmxyzpS47bjt2F1didq9U1ebtiETI9k6sdMmE2O7DiYSBH64tdqPiN816UohXPbjiCv3142Jp+0Yhya43lqtsqTrOwJ0RE6YWrXVFqyJumFbPzatMoUL8ZmH7qyNeMU2+gF0/tegqPbH0EjX2NEcfm5M/Bd479Do4rPy4qryWlRP1P/gfS6wUA2AoLUfKNW6Ny74lobu/Ekg+/C7tQAQBtznLkX/Rzy/ojhEB+phO3nv4VTO+ow568SlzvimKNj/HKKgau+DPw8LlAyI9i0YnfOe/Bp/0/xG3Pb8XiqlwsqMi1rn8UobujBbN824Hw7MWCpYlZmJSIKBVx5INSgxAxq/fR5e/Cnzb9Cec+fS5+9dGvIgKPfFc+fnjCD/HEhU9ELfAAgK6X/4WeN9/S26X/7zuw5eVF7f7jtfWv38VsYXyC77j0d4DL2mJ6+RlOBBU7dudPgRQKst0Wf5ZSdTRw/q/05nJlD35kfxT+oIpb/rIOnd7ACBdTPO1993k9kG5FDmYvOcXiHhERpQ8GH5Q6zFOv6ief99HmbcN96+7DOU+dg/vW34c2X5t+zKE4cM38a7Dq0lW4Yu4VsCnRW3kq1NWFhp/+VG9nnnQici60bhWeQ5vexCkNf9HbW6s+jax51ky3MsvPjMx9sTz4AICjrwOWf05vXm1/FZfb3sDBll786a19w15G8RXc9W99e0/28bBZsHIcEVG6SoC/1kRREqXldht7G/HI1kfw5K4n0RfsizjmsXtwxZwrcO2Ca1GcEZtChk2/vgfBpiYAgHA6UXbbbZatboVAH+zP/xds4XoetaIMsz9zlzV9GSA/I3KaVZYrQX6dnfcroH4LcGQdAOAO+8PYoU7FM+s8+PpZc2JThZ3GTKoqpra+q7fVWWdZ2BsiovSTIH+tiaLAHHw07wL8vcCAFZFGUttdi4c2P4R/7PkHAmrkFJlsRzauOuoqXH3U1ch350erx4P0bdqEtscf19tFX7oZzmnTYvZ6o6l55geoCmrTrVQpcPiM/0VlhkWrSg1QMGDkIysRRj4AwOEGrvwz8IfTgd5muEQAv3f+Ghe2/xQfHWzDcdMLrO5hWqvd+SGq0ApA+56efvxFFveIiCi9JMhfa6IoKJylVZwO9AJSBRq2AlOOHfWyfR378ODmB7F632qEZCjiWL4rH59b8DlcOfdKZDtj+6ZbBoOoM9X0cM6ciYLPfz6mrzmS0MH3ULH9Qb29OvNTuPD0xEnMzc8YEHwkysgHAORWAZc/DDx6MSBVVIoW3Gz/J57dsJDBh8Xq165GVXh7l3025pVVWtofIqJ0w5wPSh2KDShbZLTrNox4+o7WHfjGG9/AJc9eguf3Ph8ReJR4SvDtY7+Nly57CTcuujHmgQcAtP75Mfi2b9fb5bffBsWimh7w96Ln7zdBgRYI7VXLUX3Fz62b/jWEgcFHttvC1a6GMv004Izv6s1P2d7BSxtr4AuGRriIYi3r8Ov6dlNpdFfEIyKi0SXQR4VEUVC2GDj8vrY9RN6HlBIbmjbggc0P4K2atwYdr8yqxOcXfR4Xz7wYTlv83vgHamvRdN99ejv3skuRcezoozax4v/X7cjpPQhAq/78zxk/xH9Xl1nWn6EkZML5QMd8HvLNOyHUAEpEOxb51+ONnctwzoLE+rdMF97uNsz0btWX2M1ZdJ61HSIiSkMJ+NeaaBKGWfGqy9+FVftW4cldT2J32+5Bl83InYEbF92I86afB7sS3x8LKSXq7/gpZJ+W3G7Lz0fJN78Z1z5EOPA2nB/9QW8+JC/EFZdcal1/hjFwmlVCTbvql1kIMeccYMcqAMCltjV4dv05DD4ssv+DF3CU0Eae2mQ25h19usU9IiJKPwn415poEkzBh2zYhi316/Dk3mfx0oGXBq1cBQBHFRyFLyz+Aj4+9eNQhDWzELteeQXdrxtTQUq+823Y82OX1D4iXzeC/7hF/8WwW61Ez0nfRkWex5r+jMBlj/z/lTAJ5wMtuUoPPs5RPsTt2w+go28xcj0JNk0sDXi3v6xv78w6BidYNa2RiCiNJehfa6IJKp6HbpsTqzOceCo7CztevnbI044tOxbXL7gep1SeYmkeQ6i7Bw13GDU9Mo4/HrkXX2xZf/DK7bB3aNOtglLBHY6v4v6PzbeuPyOozI8MiLKcCfrrbPbZkJ58iL42uEUAZ+E9vLTlWFx57FSre5ZepERl8zt6MzD94xZ2hogofSXoX2ui8dvavBVP7noSL0wpQ98Q8USuKxcXz7wYK+aswPTc6fHv4BCa7rsXwYYGAIBwOKyt6dFZB/nRg/3T4fG70Cdx3gXnIzMRpzMBmFOajRVHV+G5DbX40hmzErd+ht0JsXAF8OGfAAArbG/h1+svZfARZ037NqBENuvtacdxiV0iIisk5rsKojHqCfTghf0v4MmdT2J7a3ilqAHvQY8uPRqXz7kcZ007Cy6bK/6dHEbf5i1oe8yoHF74xS/CNcPCoGj3yxBSBQDUyCL8q/BzePaYKdb1ZwzuunwJfvqphXDZE7xC9ZKr9ODjeGUHavbvQG37UlQm4HS2VFX70Sr0lwXdKWZg7tRqK7tDRJS2GHxQUtresh1P7noSq/etRm+wd9DxnFAIn+zuweUZMzDj3JXx7+AoZDCI+ttuA1Ttzb6zuhqFN33B0j71bF6FzPD2v0NH4zsXLoEtUUcTTBI+8ACAyuWQhbMhWrTFDj6lvI3nN5yGL50x0+KOpQ/3gdf07bqSUzHXwr4QEaUzBh+UNHoDvXjpwEt4cueT2NKyZchzlpUsw+WFR+MTL94Gt5RA1w5ADWk1QBJI21//Cu+2bXq77PbbravpAQCBPrgOrdGbO3NOwvWzi6zrT6oRAmLJp4HXfgJAW/XqS+trGHzESbCvEzP6jNXvMheca2FviIjSG4MPSng7WnfgqV1PYdW+VegJ9Aw6nu3IxkUzL8KKOSswO3824O8FXrwdgNSqnbfsAYoT53POQH09mu65V2/nXnIJMk843sIeAdi/BnbVCwDolm5kzuESpFG3+ErI1+6AgMR0pQEZjeuwvW4ZjirPsbpnKe/ARy9hFoIAgA6ZifnHnmlxj4iI0heDD0pIvYFevLj/RTy166lhRzkWFy/G5XMuxznV58BjN82dd2YARXOBpnAOSN3GhAo+Gn76U6i92lQxW24uSr7zbYt7BMidL+qpMm+pi3HsrHJL+5OS8qZATD8V2K8Vt9RqfpzL4CMOure+pG9v9yzHCR63hb0hIkpvDD4ooWxr2Yandj01bC5HliMLF8y4AJfPuRxzC0YIKMoXRwYfi6+IUY/Hp+u119D171f0dsm3Lazp0U9KBHe8iP6qE6+py/CDGQWWdillLblKDz4usr2Li9YfwLfPnZcUuTVJS0qUN76tN/uqOepBRGQlBh9kuf4Vq57a9RS2tWwb8pz+UY6zp52NDEfG6DctXwJs+ru2Xbcxir2dONXnQ8NPf6a3M445BrmXfsrCHoU1bIGjpw4AoEqBmqJTkZfB4msxcdRFkKu+ARHsRa7oxYKed/H+vmNx0izm18RKe812lKoNervy6Ast7A0RETH4IMvodTn2vzBk9fFsRzYunHkhLpt92cijHEMxVTpH3SZASsDCYoIA0LryEQRqa7WG3Y6y2y2s6WG2y5iSskHOxPxZTIKOGVc2xPyL9MD4UtsaPLvhMgYfMVTzwXPIC2/vQjVmz5ptZXeIiNIegw+Kq25/tz7KodflGGBp8VKsmLMCZ1efHZnLMR5li4xtXwfQdgAosK6GRqChEc1/+IPezv/MVXDNmmVZf8zkzpf0fI9XQ8tx4sxCS/uT8pZ8Wg8+zlA24o7NO+G9eCHcjsRakS1V2PcZS+zWFJ2EOYkQ8BMRpTEGHxQXo45yOLPxyZmfxGWzL9NWrJosdy6QPx1o26+16zZaGnw0/frXkP1J5nl5KP6v/7KsLxG6G4HatXrzdbkMN1Uz3yOmpp8OmV0O0VUHhwjhY4E1eHX7qbhgMZP8o036ezC9Z73edh11joW9ISIigMEHxVD/ilVP7Hpi2FyOZSXLsGLOCnxi2icmPsoxnPIlRvBRvwlYcEl07z9GfZs3o+PZZ/V28de+ClturiV9GWT3vyEgAQC1shBK2ULkZjhGuYgmRbFBLL4SeOceANrUq/vW1zL4iIHD6/6NqQgAALqkB/OP/YTFPSIiIgYfFHW72nbhyZ1PYtW+VegOdA86nuPM0Uc5ZuXHcOpR+RJg27PatkVJ51JKNPzs53rbNXs28i6/3JK+DGnXi/rma6FlOHEmcw/iYsmn9eBjsbIftbvWoq1nMfIzmegfTe2bX8TU8PYW1zKcmJNpaX+IiIjBB0WJL+TDvw78C0/uehLrG9cPec6ykmW4fM7l+MS0T8Btj8M6++WLje26jZYknXeufgF9641/j9LvfRfCniA/dkEf5N7XjXwPdRk+x3yP+Cg5CrJ8KUTdBgDAxWINVm8+F1efMM3afqWY4vq39O3uKWdY1xEiItIlyLsgSlYHOw/iqV1P4dk9z6Ld1z7oeJYjCxfNvAiXz7k8Orkc41FmWvGqpwnoqgdy4je1Re3tReNdd+ntrLM+jswTT4zb64/q4DsQfm1kqk868b5cgPuY7xE3YslVQDj4uMT2Nr667hCDjyjqqduF8tARvV26nEvsEhElAgYfNG4BNYA3Dr+BJ3Y+gffq3hvynPmF83Hl3CtxbvW5Y6vLEQtZxUBOJdAZXt62bmNcg4+WBx9CsL4eACAcDpR+2/pK5hF2Gkvsvq0uwpzKYuS4me8RNwsvg3z5+xAyiDLRBmfNOzjUcjSmFlr085JiDn/wPOaFt/dgCubPO8rS/hARkYbBB41ZXXcdntr9FJ7Z/Qya+5oHHffYPThv+nm4Ys4VWFC0wIIeDqFscWTwMffcuLxs4MgRtDz4oN4uuO5aOKdOHeGKOJMyor7Hq+oynMApV/GVVQzMPkv//3CpbQ2e23AZvvJx1qGIBrH3FX37QN5JmGVTLOwNERH1Y/BBIwqpIbxz5B08sfMJrKldA1Wqg86ZlTcLl8+5HBfOvBA5zhwLejmC8iVGUnX9pri9bONd/wvp9QIAbEVFKPzizXF77TFp2gm0H9Sbr4eW4hczGHzEm1j6GT34OFf5EJev340vnzkrMYpPJjEZ6MO0TmMJaftcrnJFRJQoGHzQkA52HsTze5/HP/f+E3U9dYOOOxQHzq4+G1fMuQLLSpYl7puliErn8VnxqnfdOnS+8ILeLvn6f8OWlWCr7JhGPTar1WhWCnEs8z3ib865UF25UHwdyBA+HNX2BrbUnoxFVQmyFHOSatj8GsrgBwD0SBfmHsfgg4goUTD4IF2nvxMvH3gZz+95HhuaNgx5zpTsKbhizhW4eNbFyHfnx7eDE2EOPjoOAz0tQGbsPuGXqoqGn/5Mb7vnz0fupz4Vs9ebsIgpV8uxuCoXWS7+Oog7uwvKosuAjx4CAFyqrME/1tcy+Jik1g0voCy8vcmxFCcW5lnZHSIiMuG7jTQXVIN498i7eH7v83jt0Gvwq/5B59iEDWdOPROXz7kcx5cfD0Uk0dzpnAogoxDobdHa9RuBmWfG7OU6/vEsvFu36u3S738PQkmwf6/eVuDw+3rz1dBynMopV9ZZcpUefJxk24afbdgA9YKjoCgJOpqYBPLqjCV2OypPs7AnREQ0EIOPNLW7bTee3/s8Vu1bNWTyOADMzp+Ni2dejAtmXIAiT5IWnxNCG/3Y+5rWrtsUs+Aj1N2Dxnt+rbdzzj8PGUcfHZPXmpQ9rwDh3J1GmYctshrfYvBhnapjEcqbDlv7fgDAad7XcbD1YkwvSrCpeknC17wfFYFDertwKZfYJSJKJAw+0kirtxUv7n8Rz+15Dttbtw95Tr4rHxfMuACfnPlJzCuYl7i5HOMREXzELu+j5Q9/QKhJC+SEy4WSb34zZq81KTuNquavhpbBbrPhmOokmEKXqoSAbdlngNd/CgC4zLYGO450MPiYoJoP/omZ4e29sgKLFi6ytD9ERBSJwUeKC4QCeKvmLTy39zmsqVmDoAwOOseu2HF61en45MxP4tTKU+GwpVith7IBlc5jwH/4MFpXrtTbhZ//PBwVFTF5rUkJBYA9r+rN19RlWDIlDxlO/iqw1OIr9eBjplKHVw/tARYn4PdPEgjt+pe+vTf3BMx02CzsDRERDcR3HClISomtLVvx3J7n8OKBF9Hh6xjyvAWFC/DJmZ/E+dPPR547L76djCdz0nnrXsDbCbijuyRw4513QgYCAAB7aSkKb/x8VO8fNYfeA8LfDz7pwDvqQnye9T2slz8NXa5SZPsaAAC+wxsBMFdh3II+TGn/0GjPOsu6vhAR0ZAYfKSINm8b3q9/H+8deQ/v1b2H2u7aIc8r8ZTggpkX4OKZF2Nm3swhz0k5+dMBVw7g69TaDVuAaSdF7fY9772Prn8bBc1KvvkNKBkJWqXatMrVu+p89MKNE5jvkRD6Co5Cdp0WfLiGmRZJI2vd/hYKoNXX6ZNOzDkuPkVFiYho7Bh8JClv0It1jevwXt17eO/Ie9jRugMScshzXTYXzpx6Ji6eeTFOKD8BNiXNpiEoClC2CDj4jtau2xi14EMGg2j4+c/1tmfpUuRcmMAJrqbg4xV1OZw2BUdPY75HInBVLgbq3gAAVHj3oscXRCaXPx6XxvWr0F+tZoNtEU4oZe0aIqJEw79sSSKkhrC9dbsebKxvXD/ksrhmy0uW45MzP4mzq89GtjM7Tj1NUOVLTMFH9Cqdtz/1FHw7d+rt0u9/L3GT9Jv3AC179ObroaVYOj0Pbs6JTwjZ05YBH2nbR4mD2NnQheVTGRiOR07NG/p2c/lpifuzSESUxhh8JCgpJQ53HdaCjbr38H7d++j0d454TbGnGCeUn4ATKk7A8WXHozSzNE69TQIxqHQe6uxE07336e3ciy+GZ1ECr6xjGvXYrk5BLYpxGadcJQylbKG+XS3q8VRNI4OPcQi2HkKF/4Dezl98vnWdISKiYTH4SCCt3la8X/e+PrpxpOfIiOdn2DNwbNmxOLHiRJxQfgJm5M7gJ33DMQcfTTuAQB/g8Ezqls2/vR+htjYAgMjIQPGtt07qfjE3oKo5AJzI4CNxFM6EX7jglD7YhETbgU3ASXOt7lXSqP1oFaaFtw/IMixdutzS/hAR0dAYfMSBP+RHU18Tmnqb0NzXrG+3eFsi9g1X7K+fXdixuHixPrqxsGghHEqKLYsbK4WzAbsbCHoBGQIatgFVEy8A6Nu3D61/+YveLrrpJjhKS6LR09joawcOvas3Xwstg9OuYNnUPMu6RAMoNnRmz0JR51atXb8ZwOWWdimZ+HcaS+xuzzoO5zFfhogoIfG38yQF1AA+rP9QCyDMwUVfE5p7te3RpkuNZFbeLC3YKD8Bx5Qdg0wHC49NiM0OlC4EasOT6us3Tir4aPjlL4GgVjPFUVmJguuvi0InY2jva4Cq9bdFZmODnIXjp+Yz3yPByNIFQDj4yOncCSklRzPHIhRARev7elOdwSV2iYgSFYOPSTrUeQg3vHxD1O5X4inBCRUn6AFHcUZx1O6d9sqXGMHHJPI+utesQc+bb+ntkm99C4rLNdnexZZpytUb6lKoULjEbgLKmrYM2P0EAGCmegBHOryozJvc9MB00LX7bWTLXgBa/Zrpx55jcY+IiGg4DD7iKM+VhyJPEYo9xSjOKNa3izK059KMUlRmVfKTzlgpn3yl88CRI6j/yR16O+PYY5F9ztmT7VlsqSFgtzEl5ZVQON+DxQUTjqfKyE06ShzCh0c6GHyMQf261ehfz2+dMh8nTOFiG0REiYrBRxSUeEpQ6ClEcUaxFkwMCCr69zlszM+wlDnpvGEbEAoA4/h/0rdlKw5/6WaEmsK5OUKg9HvfTfxgseZDoE9LjA9IG9aoi+B2KFgyJdfijtEgpfP1zRzRi9qDu4H5ZRZ2KDlkHHpd324oOTXxfyaJiNIYg49Jmpk3E69e8arV3aCxKJkPKHYt9yHkA5p2AqblTUfS9eqrqP3mtyD7+vR9xV/7KtxHHRWr3kbPzhf1zffVeehGBk6elg+XnfkeCceTjw5nGXL99QCA3sMbAZxqbZ8SnOw8gkqvUb8me+F5FvaGiIhGo1jdAaK4sbuAElOwMIapV1JKtD7yCGq+/BUj8LDZUPaT/0HRzTfHqKNRtutlfZNL7Ca+vgLje9TVss3CniSHurWr9e3DshjLlh1rYW+IiGg0DD4ovZSZpl7Vj1zpXAaDaPjJT9Dw818AUgIAlKwsTPnjH5B/eZIsgdp2AGjarjf14IP5HgnLWWnkJpX27YE3ELKwN4mvb5sRXG/2HIeCrARf/IGIKM0x+KD0UmaqQN60Y9jTQt09OHzLLWj76+P6PkdFBaof/yuyTj45lj2MLtOoxx61AodkKTwOGxZX5VnXJxpRbvVSfXsuDmFPY7d1nUl0oSBKm436Nf7qMy3sDBERjQWDD0oveVOM7c66IU8J1Nfj4Gc/i5631uj73IsWofrvf4Nr9uxY9zC6IqqaLwMAHFOdD4eNP/qJymZalW26qMfumgYLe5PY+g68jyypBWc+ace0Y7jELhFRouM7EEov2eXGdtfg4KNv61YcuOJK+HbuNC75xCcw7dFHYC9Ospor/h7gwNt681UusZscCqbDL9wAAEVItO2feE2aVFf/0T/17fXiKCyaXmlhb4iIaCwYfFB6yakwtn2dgM+Y0tL12us4eM3nEGxs1PcVfP4GVN57DxRPEtZaaNwBhPwAgB7pwlo5BwCTzROeYkN79iy9qdZvsbAzic154DV9+0jRSbBzRI+IKOHxNzWll8xiQJiWmA2PfrQ++mfUfPnLkL1alWTYbCi7/XaUfutbEEqS/pi07NY398lyhGBDptOGhZWs75Ho1JIF+nZOx/C5SWmtuxGVfcYIpWf+uRZ2hoiIxipJ31URTZBiA7KM6seyrQb1d/wUDT/7GaCq2imZmZjy+98j/9NXWtXL6Gg2Bx/aiM+x0wuY75EEsqYt1berQ/vR1OWzrjMJqmmDUb+mVhZi6fITLOwNERGNFd+FUPrJ0fI+1IBAzW33oO2xx/RD9vJyTPvrX5F16ilW9S56TCMf+6VWJZtTrpJD1tSl+vY8cQg76jqs60yC6t5iBB8bnUejPC/Dwt4QEdFYMfig9JNdjkCvggOvFaJ73S59t3vhQlT//W9wz51jYeeiqNmo+rxP1UY+mGyeJEpN065EH2oP7Brh5DSkhlDcaCym0DvtYxZ2hoiIxoPBB6UVKSX62jNw4N/F8LU59f1ZZ30c0x59BI6SEgt7F0WqCrTu1Zt7ZTmyXXbML8+xsFM0Zu5ctDuNldl6D2+wri8JyH/4I2SpXQCAgLShYjnzPYiIkoXd6g4QxYKUEqGWFvj27IFv127tebf2rHZ1ATCSzguuvx4l3/wGhM02/A2TTWcNEPTqzf2yHCdOL+BqQEmkN38e8hq0BRGczdss7k1iafhoFfor9qzHHCyfPc3S/hAR0dgx+KCkF2pvN4KL3UaQEWprG/lCIVF2Zh7yv/Pt+HQ0nkzJ5nWyAL1wc8pVkrFXLgYaXgcAFPXsRjCkMngMs+17Rd8+mH8SjnOk0AcHREQpjsEHJRQpJWQgAOn1QvV6IX2+8LYP0qc9B+qOwG8KNoJNTeN+HWd2AKXLO5E1M0XfzLWY8z206TsnMNk8qeRPXwas07bn4iD2N/dgdmm2tZ1KBD0tKOvZrjcd81jVnIgomSRU8CGEOAnADwCcAMAJYBuA30opHxnnfYoAXALguPBjIbR5NldJKf8WzT6TQQYCCLa2IdTWilBrK4ItrQi1tSLY2opQSytCnZ1QvX2Q3nBA4Rv6uX/J22iwFRTANXs2XLNmac+zZ8GVL2B7NJyg2lWvvV6y1vIYTnNkjQ+Pw4ajmO+RVBwVi/XtaaIRL9bUM/gA0LHlJeRCAgDqZT4WLz/J4h4REdF4JEzwIYT4FIAnoSXBvwWgGcDHAawUQiyRUt46jtudAuBP0e9lepFSakFEU5P23NqGUGuLFky0tiHY2oJQa1v4WCvUzk7L+qrk5EQGGbNmwTV7FuyFQ3za7+sytmUI6GkCsksHn5fMIpbZLceUQg9sirCwQzRu+dPhE264pBeKkGjdtwE4erbVvbJc26YX0V8m8yP7clxQnGVpf4iIaHwSIvgQQuQDeBja6MRlUspnwvtLAbwN4OtCiH9KKV8f4y0bANwP4MPw4zsArol6x5OcDAQQaGhA4MgR/RGsq0OgNtyuq4P0WV/cTLjdUFwuCLcbwu2CLS/PFGTMhmv2bNhLiiHEGN9cu7IBZzbgDwchXUdSMPgwVrraJ8sxJZ81EJKOoqAtazbKujYDANT6LQAut7ZPVlNVFNQbS+x2VZ0+9p97IiJKCAkRfAC4EUAugOf6Aw8AkFI2CCG+DeAZALcCGFPwIaV8F8C7/W0hRPTm8SSRUHcPgnVHTMFFnbFdV4dgY2NUpzj1Ex4P7AUFsBUUwFaQD3tBIWwF+bDl5UFxeyDcLihutxZUuN0QrnDb5Ybidhn73W4IpzM2by5yyoHmcPDRWQdULIv+a1jF3wt0HNabe2U5Pl7A4CMZhUoWAOHgI7tt+yhnp75Q20HkhLSFJFQpULr0PIt7RERE45UowceF4eenhji2GoAXwFlCCLeU0jvEOWlFBoMItrQg2NioPwINDQg2NkW01Y7oVEUeLpjQ9hXCXpAPW0GBfo7i8UTldWMquxxoDhdu6zpibV+izVTfwycdqJXFqMpPgv8nNEjm1CXAXi1NbUpwPzp6A8jNcFjcK+s01exBWXi7EXk49qjplvaHiIjGL1GCj/7MynUDD0gp/UKILQCOATAXwMZ4diyepKoi1N6uBRANDQjowYUpqGhsQKi5BZAyaq9rKy6Co6JCe5SHnyvK9X1KdnbqTW3INgq4obPOun7EginZ/IAshQoFUzjykZRyq40RuXniMLbXd+C4GUUW9shaXQ379eCjSSlGmTt9AzEiomRlefAhhMgBkBdu1gxzWg204GMqEiz4kF4vet7/ANLbB7XPG17Nyatt9/VC9oWXjDUf7+2D6g1v9x/v60OopwcIBKLaP+FwwF4eDiTKjYCiP7iwl5dDcTpHv1GqyTEFH1311vUjFszL7Ert62TOR3ISpQv07WzRh5r9O3DcjFMs7JG1fC2H9O1OZ4rlaRERpQnLgw8A5qVKeoc5p2eIc+NGCLF1mEMz/TU1OHTttXHtTz8lJwf2kmI4SkpgLy6BvbQU9pISY19FBexFRRCptoxsNGRXGNupNu2qOXKlKwCoKuC0q6TkzkGrswIFfu17tOfQRmiL+aWpDuPzqb6MihFOJCKiRBWV4EMI8RS0Whrj8Tkp5QcAxjKfJ8Xm/IxMeDxa8DDoUQxHf4BRXJwcuRVhqirR0RdAfmaCjLLkpPC0q5bIGh+5HgdyOD0lafXkz0NBgxZ82JuH+xwkPTi6a/VtNbvSwp4QEdFERWvkoxpaPsZ49M8D6Rqwb6hiEf3ndo/zNaJCSrlgqP1CiK3CZptvryiH4vZoKzR5tGclwwOh73NrxzM84ZWcPFA8bu24xw3FEz43M0MLKrKyUirHYsPhdnztb+txsKUX5y8qwx2XLEKB1UFIqo58SBm5zK5ajikc9Uhq9vJFQMNrAICi7l1QVQklTWu2ZHmNDwrsBdMs7AkREU1UVIIPKeUxk7i2UwjRAW2p3SpoVc0Hqgo/HxrimKWc06dj9muvWd2NhCSlxKPvHsQdq7chENIS5F/YXI8P9rfhzhWLcOY8C+dsm0c+vB3a8rTOFMiL6G4EfEb8vldW4CTmeyS1/BnLgQ3a9hx5EIfbejGtMNPSPllCShQEG/Wmp5jBBxFRMkqUZID+JPLlAw8IIRzQpnT5AOyMZ6do4rp9QXz58fW47fmteuDRr7nbhxtWfoTvPrMZPb6gNR3MLAGE6du/K0WmXpmmXLXIbHQgiytdJTl31WJ9e5rSiF2HUuR7dZxkbys8MIqe5pfPsLA3REQ0UYkSfKwOP68Y4tiFANwAXmWNj+Sws74Ln/zN21i9yXiTVJLtwi1nzITLbnzLPf7BIZx/3xqsPdga/07a7FoA0i9Vgo/myHwPAKzxkezyquEVxv/D1v3rLeyMdboa9uvbPdKFstKyEc4mIqJElSjBxwPQcj0uFkJc2r9TCFEC4M5w8+6BFwkhdoQfzDxMEE+vrcHFv30b+5p69H0nzSzE6q+eim+fOw+rvnIKFlbm6McOtvTi8t+/iztf2gF/MM6F6FMx6dy0zO5+lcvspgRFQWvWbL0ZOrLZws5Yp63OCD7qUYTcjARZvIKIiMYlIYIPKWUrgBsAqACeEkK8LoR4Eto0q1kA7pNSvjrEpXPDj0FL+Qgh3ut/ALggvPsnpv33x+SLSVPeQAj/7+lN+MaTG+ENaEGEEMBXz5yFP3/+eBRnuwAAs0uz8cyXTsZXzpyF/pxZVQL3v7EXl/z2Heys7xruJaIvFZPOhxj5YMJ58gsWz9e3M9vTc/Zpb9MBfbvVXpJSi3IQEaWThAg+AEBK+TSA0wC8DGApgPMB7AVwg5TyaxO45fGmR39J4FmmffOHuY7G6WBLDy69/z/424eH9X35GQ48fN2xuPXsubANWJnHaVfwjbPn4qkvnYTqQuNT+W11nbjoN2/jgTX7oKrRq+A+rBQf+TCmXXHkI9llTl2qb1f596LXb1GulIVCbcZ6I10e1vggIkpWCRN8AICU8h0p5XlSynwpZaaU8hgp5cMjnC/CjwMjHBvucUYsv5Z08dKWelx439vYVmessLRsah5Wf/VUnDG3ZIQrgeVT8/HC107F1SdM1ff5gyruWL0dn3ngPdS0DVdzMkqyzVXOU2DkI+gH2g7ozb2yAsXZLrgdNuv6RFGRP91Yi2OeOIRd9UOtSJ7abF1GjY9AJoMPIqJklVDBByWPQEjFHau24ebH1qLLtGLV9SdX4+83nYiKvLFN9clw2nHHJYuw8vpjURKemgUA7+1rxXn3rMFTa2sgZYxGQbJTbOSj7QAgQwCAoFRwSJYy2TxFKGWmaVfCh5q92y3sjTXcvcYHBCK3aoQziYgokTH4oHGr7/Diqj++hwfeNhJAs1x2/PYzy3HbRQvgtI//2+qMuSV4+b9PwwWLjICgyxfEN5/ciJsfW4uWbt8IV0+QedpVV3307x9vpmV2D8tiBGBnsnmqcGWjxWmsq9FzaIN1fbFIrr9B33YVssYHEVGyYvBB4/L27mZccN8afHSwTd83rywbz3/5ZFywuHyEK0eXn+nEbz6zDPdcuRTZbqP+5ctbG3DOPW/h1e0NI1w9AREJ53WAGufVtqItItlc+9qYbJ46uvLm6du2pq0W9sQCQR8KVGNJ7uzS6RZ2hoiIJoPBB42Jqkrc+8puXPPQ+2jp8ev7VxxdhX/ccjJmFGdF5XWEELhkWSVe/u/TcPKsQn1/c7cfn3/kI/y/pzehO1qFCc0jH2oA6G2Jzn2tYhr52C+1Gggc+UgdtvKF+nZB967YTUdMQP42I99DlQJFFQw+iIiSFYMPGlVLtw/XPvwBfv3KLvS/33HZFdx52WLcdfkSeJzRT2iuyPPgzzccj9sumh9RmPBvHx7G+feuQWNXFOpNunIAR6bRTvak82bzSlf9Ix8MPlJFwQwj6XyWegD1nelTc7X9yF59uwH5KC2IzocdREQUfww+aERrD7bigvvexprdzfq+aYUZeOaWk3DFsVNi+tqKInD9ydOx+qunYFFlrr7/UGsv7nll9whXjpEQqbXc7pDL7HLaVaowL7c7VWnC7kNJHiyPQ2ejkV/WpBTDZecKbkREyYrBBw3rpS31uPIP70V8wnrugjL88yunYEFF7ghXRteskmw8c8tJ+NyJRpLp+/uiNEUqVZbb7WsDeo0Aca9aDkVgzKuOURLIm4Y+YYxkNe9bb2Fn4svffFDf7nCWWtgTIiKaLAYfNKR397bgq4+vRzBc7M+uCPzggqPwu6uXI8c9qKB8zDlsCm442ZjnvbepBx29gcnfOFWW2zVNueqSHjQhD+W5Hjhs/BFPGUKgJWuW3gwd2WxhZ+JLdtTo296MyS1sQURE1uI7Expk65EO3PToR/CHtNWfctx2/O2mE3DjqTMghBjl6tiZVpiB/Awj8NlQ0z75m0Yst5vEwUeLeaWrcgCCU65SUKBogb6d0ZY+tT4c3caopJpdOcKZRESU6Bh8UIRDLb249qEP9cKBLruCh647FsdUF1jcM20lrKVT8vT2hkPtk7/pwOV2k1XzECtdMdk85WRMXaJvV3r3whcMWdib+MnyGj+btgLW+CAiSmYMPkjX1OXDNQ+9j+ZwQT+bIvDbzyxPiMCj37Kp+fr2+sNtI5w5RqmScG4e+VC1gIojH6mn0LTi1RxxGHsbuizsTZxIiYKgUeMno7jaur4QEdGkMfggAECXN4DrHv4AB1t69X0/v3QRzpqfWMmdy6bm6dvrD7VPvtZBxMhHEiectxhLkfavdMUaH6nHXr4QKrSpjxnCh8N7U7/YoOxtgRtGbaG8ctb4ICJKZgw+CL5gCF/881psPdKp7/vOufNwxTGxXUp3IpZMyUN/2klHXwD7m3smd8PsMmO7rw0I9E3uflZQQ0MHH5x2lXqcmWh2GjkPPYc2WNeXOOluOGBsSzfKSsqGP5mIiBIeg480F1Ilvv73DfjPXmPp2s+fMh03nz7Dwl4NL8ftwCxTNfX1k837yC4DYEqiT8a8j47DQMinN42cD067SkXduXP1bdGY+iMf7fX79O06FCE/02lhb4iIaLIYfKQxKSVue34LXthcr+/71LJKfP/8oyxd1Wo0EVOvJpv3YXMAmcVGu6t++HMTlWmZ3VpZiD644bQpKM12W9gpihWlbJG+XdC1y8KexEdvo1Hjo9VemtC/m4iIaHQMPtLYfa/uwWPvHdLbp88pxp0rFkNREvuPe0TSeTRWvIpIOk/CvI+IZHPta6nM9yT8/0eamLwZy/Ttmep+fYGIVBVsM4KPbjenXBERJTsGH2nqsfcO4tevGJ+aLpmSh99dvTwpitKZRz521Heh1x+c3A2TfbndiGV2teCDK12lrtzqpfp2lWjGnkNJGDCPg9JVq2/7MytGOJOIiJJB4r/TpKh7cXMdfvjcFr09ozgTD193LDKcdgt7NXazS7KR6bQB0HJWNtd0TO6Gyb7c7qACg0AVV7pKWSJvGnpEpt5u3rvOwt7EnqfX+JkUeVUW9oSIiKKBwUea+c/eZnztbxvQv0JtWY4bf/788ShIoiROmyKwxFRscP3h9sndMNtc5TwJP0UecqUrjnykLCHQnDlbbwZqN1rYmdjL9Rt5WM5CFhgkIkp2DD7SyJbaDtz06Fr4QyoAINfjwKOfPw6Vecn3RtVc6Xz9oUkmnWcn8ciHvwfoNKal7JPatBTW+Eht/qL5+ranbYeFPYmxoA/5qvHznVPKGh9ERMmOwUeaONjSg+se/hDdPi0/wu1Q8NB1x2BOabbFPZuYgUnnkyo2aJ52lWw5Hy3GSldeOFArCwGwxkeqc1cu1rcrvHsnX2wzQQXaDuvbISlQWF5tXWeIiCgqGHykgaYuH6558AN9VRybInD/Z5fj6GkFFvds4swjH41dPtR1eCd+s4iE83ogmd7ImZPN1TLI8I80E85TW/Y0I/ioRi26fJNcdCFBtdcZNT4akI/yguT8sISIiAwMPlJclzeA6x7+AIdae/V9v7xsMc6cV2phryavONsVkdcwqSV3zSMfIR/Q2zrxe8WbaeSjf6Urj8OGwiTK4aHxyymbaWyLPjQ2NVnYm9jpMlU3bxLFcDts1nWGiIiigsFHCvMGQrjp0bXYeqRT3/f/zpuHFUenxooxy6aYp15NIu/DnQfYTSMFyZR03jx4paspBR4WYktxSlYJAjBWp2urP2BdZ2LI12LU+OhwJvcHJkREpGHwkaJCqsTX/74B7+5r0ffdeMp0fPG0GRb2KroiK523T/xGQiTvcrumkY/+AoNMNk8DioI2W6He7G06OMLJyUu2GzkffRms8UFElAoYfKQgKSV+9NwWvLjFWKLyU8sq8b3zj0qpT8TNSeebazvgD6oTv1kyLrcrZWTw0b/SFZPN00KnaSTA31pjYU9ix9Ft/CyGslNjxJaIKN0x+EhB97yyG395/5DePmNuMe5csRiKkjqBBwDML8+B0659C/uDKrbXdY5yxQgigo/64c9LJF31gL9bb+5jdfO04ssoMxqdSRIwj1OW1xiFtBVMsbAnREQULQw+UoiqSvxk1Tbc+6qRB7Bsah7u/+xyOGyp97/aaVewsCJHb08q7yNi2lWSvJEzVTZvE7nohFb1mtXN04NqWqXN2ZMk37PjISUKgo16M7O42rq+EBFR1KTeO9I05Q2E8JXH1+PBt/fr+2YWZ+Kha49FhtM+wpXJLaLex2TyPiKW202SnA9Tsvke1QieWN08PdjyjGlImb7GEc5MUr0tcMGvN3PLWGCQiCgVpO670jTS3uvHFx79CB8eMD75n1+eg5XXH4v8FF9yNSLpPFrL7SZLwrkp32NvyJiCw5yP9OApnKpv5wVTL/jobtqPrPB2l/SgrISrXRERpQKOfCS5w629uOx3/4kIPE6bU4wnbj4RJTluC3sWH+Zig4dae9ESLqQ4bhEjH0kyhWWIZXZzPQ7kuB1W9YjiKLd0mr5dIlvQnWKFBs0FButQiMIsl4W9ISKiaGHwkcS21Hbg0t/9B3ubevR9lx9dhQevPQZZrvQY1KrM86A423hTsmGiU6+yTcm7vS1AcIJBTDwNsdIVk83TR25Ztb6dI/rQkGKFBnsbjeWDW+ylKbdgBhFRumLwkaTe3NWEK//wLpq6jDfJX/v4bNy5YnFKJpcPRwiBZabRjwlPvTKvdgUk/opXQR/Qbrw50wsMMtk8bdgGFBpsT7FCg8FWY8W+HnfZCGcSEVEySZ93qSnkiY8O44aVH6LHHwIA2BSBX162CF//xJyUquMxVpFJ5xNc8cruBDKKjHaiJ5237gekVtckBBsOyRIATDZPK4qCVsUoNNjTmFqFBm1dRu0Sf2alhT0hIqJoYvCRRKSUuOeVXfj2U5sQUiUAIMNpwwPXHoMrj506ytWpy5x0vvFwh/5vM27JtNyuaZndBns5guFPwJlsnl66XEYSdqDt8AhnJh93r+kDgFwWGCQiShUMPpJEIKTiO09vwj2vGG86i7Jc+PtNJ+Jjc0ss7Jn1Flflon86eLcviD2N3SNfMJxkWm7XlGy+XzWtdMVpV2nF6zGtANVZa11HYiDX36Bvu4rS98MVIqJUw+AjCfT4grjxkY/wxEfGNIQZxZn4xy0nYVFVroU9SwwZTjvmlUWh2GBSjXwYyebbA8YbUE67Si9qtjEdydGT4HlK4xHwIk81fo6zS1jjg4goVTD4SHCNXV5c+cd38eYuYyWbY6bl4+mbT+IUG5Oo1PswJ50n+siHKfgwFxiszOP3RDqx5RnBR6Y3dYKPoGkKWUgKFFZUW9cZIiKKKgYfCWxPYzcuvf8/2FLbqe87b2EZHrvx+JQvHjheUUk6jwg+EvyNnLnGRzj4KMpyweO0WdUjsoC7yFxoMHWW2m2v369v16MAFfnZFvaGiIiiicFHgvrwQCsu+91/UNPWp++74eTp+O1nlsPt4BvMgcwjH7sbu9HpDYz/JjmmnI9EnnbV2wr0terN/hofnHKVfnJLIgsN9oVXwEt2XQ1G8NEoihlUExGlEAYfCeiFzXX47APvo6NPewMtBPCDC47Cjy6az0Jbw5hemIkct7bik5TApsMd47/JwGlXcoKrZsWaadTDa8tCM7R8Fyabp5+8MiMXIlv0oaE5NUY/fC3GssEdztIRziQiomTD4CPBPPj2fvzXX9fBH9RqODjtCn5z1XLceOoMi3uW2BRFYKl56tVEks7NIx9BL9A3welbsWZeZtcxBYAWkHLkI/3YsyMLDbbV7bOwN9Ej243FNfo85SOcSUREyYbBR4JQVYmfrNqGn6zapn/gnutx4LHPH48LFvOP71iYK51vONw+/ht48gGby2gnatK5aeTjIIzvjSqOfKQfRUGLYhTH7Gk6NMLJycPRbSwbHMphjQ8iolRiH/0UiqUubwCvbm/E3z88jHf3tej7K/M8eOSGYzGrhImWYxWx4tXhdkgpx1fxXQgguwxoD0/56KwDShdEt5PRMNwyuww+0lKXsxhl4ZWu/K2pUWgwy2sE/vZ81vggIkolDD4s0O0L4tXtDVi1qQ5v7mrSp1j1W1CRg4evOxYlOW6LepiclppGPlp7/DjU2otphZnju0lOhRF8JOrIhyn42OQt1rc57So9eTPKAe9mrdGRwAsljJWUKAg26s2M4mkjnExERMmGwUec9AccqzfV4Y0hAo5+p88pxm8/uxxZLv6vGa+8DCdmFGdiX1MPAK3ex7iDj0Sv9aGGgFZjXv9eVctTUQRQkcfgIx2pWRVAePEzR08KBB89zXDCWK0ut5wFBomIUgnf4cbQWAOOvAwHzplfhgsWl+PU2UXjmypEEZZNyTcFH224ZFnlKFcMkOjL7bYfBEJ+AICEwH5ZBgAoz/XAYWMKVzpS8qqAcKpHhrfB2s5EQU/TfvR/ZNApPSgv4WpXRESphMFHlPUHHC9srsMbO5vgGybgyPU4cO6CMpy/uBwnzSzkG8coWTY1D0+v01bKWT+RpPNEH/loNqZc9XjK4fNqxSYr8znqka48hVP07fwUKDTYUW8EH3Uowuws14jnExFRcmHwEQU9viBe3dGI1ZuOjBpwnLOgFBcsrmDAESPmpPNtRzrhDYTGV5QxxxR8JOLIh2mZ3SansQoQk83TV3apkRNRLFvG/z2fYHoaD+jbLbZSzGVtIyKilMLgY5KOtPdh+U/+PWrAcf6icpw8q4gBR4zNLc2Gx2FDXyCEoCqxpbYDx1QXjP0GCT/yYQQfh4QxpYzJ5ukrf0ChwcNNTZhSUWZhjyYn2GYsF9ztTt6vg4iIhsbgY5J6fKFBgUeux4Gz55figsXlOGlmEZx2BhzxYrcpWFyVi/f3axm46w+1Tzz46GkCgn7A7oxyLyfBtNLVjqDxxowjH+nLmVMCP+xwIggAaKvfn9TBh63TKDDoz6oY4UwiIkpGDD6iJMdtxznhHI6TGXBYaunUPCP4ODzOKuXZAwo6djcAeVOGPtcK5mV2e43iclMKGHykLUVBq1KIMlVLNu9uOgTgRGv7NAnuXmPEUeSywCARUaph8DFJ+ZkOPHzdsTh5FgOORLFsSr6+vf5Q+/gudrgBTwHQF167tKsucYIPX1fEVLD1vUaNjyomnKe1TmcpysIrXSV7ocEcv7Fil7OQNT6IiFIN3y1PUlGWCx+bV8LAI4GYk87rOryo7/CO7waJutyuadRDtbtRB206mcMmUMqClGnN6zFNs+qota4jkxXoQ57arjezS1njg4go1fAdM6Wc0hw3Kk0F9zZMZupVIiWdm5fZzaqGDP/4VuZ5YOOKQGktlG0EzPYkLjQYajfyPYJSQVH5VAt7Q0REscDgg1LSUtPox7inXmWbPkVOqJEPY6WrZpcxFYz5HmTLM1Y+y/A2WtiTyemo26dv16MA5fnZFvaGiIhigcEHpaRlU/L07XEHH+ZpVwk18mEEHzWK8WaziitdpT13gRGM5gWSN/joMtX4aBRFyHQxLZGIKNUw+KCUtGyqkXS+qbYdgdDQdViGFDHtqj6KvZokU87H7pAxOsNkc8ourda3i2UL/MPUHUp0vuaD+naHs9TCnhARUaww+KCUtKAiBw6blgfhDajYWd819osTMeFcSqBlr97c2Feib3PaFeWXVevb2aIPTc3JOfohO4yVuvo8rPFBRJSKGHxQSnI7bJhfkau31x8aR9L5wIRzKaPYswnqPAIEevTm+11G4cQpHPlIe+7cUvhNK6e31R2wrjOT4Og2gv1QTuUIZxIRUbJi8EEpa8J5H+aRj0Av4O2IWp8mzJRsrmaWoN5rVF3nyAf1Fxrs1910cISTE1dmn5FjZcvnSldERKmIwQelLHO9j/WH28d+oacAUBxGOxGSzk1TrvqyjdoHHocNhZnOoa6gNGPOkUjKQoOqivygMV0so5gFBomIUhGDD0pZ5krn+5t70NbjH9uFihI59SoR8j5ajSVI29xV+vaUAg+EYI0PArweI/iQyVhosLcZTgT0Zm7ZDAs7Q0REscLgg1LWlAJPxKjAhvGMfuQk2IpXbQf0zTrF6BuX2aV+wSxTocHuBBitGydv8wF9u1NmoLykZPiTiYgoaTH4oJQlhJj41KuIpPNEGPnYr2/uU00rXTHZnMLMhQYzvQkQMI9TW53xPV4ri1Cc7bKwN0REFCsMPiilmet9jGvFq4jldi3+FFlKoM14Y7bdayQWM9mc+rkKjQTt3ECThT2ZmN5G43u81V4Cm8LphEREqYjBB6U084pXGw63Q1XHuGzuwOV2rdTdoK26Fba+xwioOO2K+uWUVOvbxbIZwWDIus5MQLDNSJLvdpeNcCYRESUzBh+U0hZPyUN/PnaXN4h9zd1juzCREs5NU66kJx87240f2ykFnHZFmoJyYxW0LOFFc2uzhb0ZP6WzRt/2Z7LGBxFRqmLwQSkty2XH3NJsvb1urPU+chJo5MM05SqYOx3egKq3OfJB/Ty5JRGFBltNORTJwN1r+jnLY/BBRJSqGHxQyotIOh9r8GEe+ehuBELBqPZpXEzL7HZlGMvs5rjtyPU4hrqC0pGioEUp0pvdjYcs7Mz45fiNJHlXIWt8EBGlKgYflPLM9T7GnHRuTjiH1PIurGKadtVkN/rFZHMaqNNhrITmb02i4CPQh1y1Q29mlU4f4WQiIkpmDD4o5ZlHPnY1dKHbN4ZRDIcHcBvXWTr1yjTtqkYYheSmcMoVDdDrMRK1k6nQoGpKNg9KBUVlHPkgIkpVDD4o5c0szkK2S5sLr0pgU0372C6MWG7XwqRz08jH7qCpxgeTzWkANcuYLmjvToD6NGPU0WB8j9ejAOX5mRb2hoiIYonBB6U8RRFYYlpyd0J5H1aNfPS1A32tenNLb4G+zWRzGkjkGTlBHq+FUwXHqcsUfDSIYmS7mctERJSqEir4EEKcJIR4QQjRKoToFkJ8IIS4dgL3OVoIcbsQYo0Q4ogQwieEOCyEeEwIsTgWfafENumkc6tGPkxTruDIwOYOt97kyAcN5C6Yom/nBRot7Mn4+FoO6tsdjtIRziQiomRnH/2U+BBCfArAk9ACorcANAP4OICVQoglUspbx3gfO4CPws1mAB8A6AWwDMBnAVwhhPiMlPKpKH8JlMDMwceGw+2QUkKIUSooRyy3Wz/8ebFkrvGRX40jtV69zZwPGii7tFrfLlabEQqpsNkS6jOmIcl2o8ZHX0b5CGcSEVGyS4i/SkKIfAAPA7ABWCGlPENKuQLAPAB7AHxdCPGxcdzyfQAXAiiVUl4gpbwcwBwAPwXgAPCQEKJopBtQallqWvGquduHmra+0S+KmHZl/ciHN3saAiGjQjunXdFABeXV+nam8KE1SQoNOrqN4COYXTXCmURElOwSIvgAcCOAXADPSSmf6d8ppWwA8O1wc0wjH1LKoJTyBCnlaimlatqvAvghgB0AsgFcEK3OU+IryHSiutB4s77+cPvoF0UknFuU82Gq8dHuMgqvFWW54HHarOgRJbDM/LLIQoNHkqPQYGafMbJoz59qYU+IiCjWEiX4uDD8PNRUqNUAvADOEkK4hzg+ZlJKCWBzuFkx0rmUepZNHWe9j0RIOG89oG/W2Yz+VOUz34OGIASaTYUGu5oOjnByglBV5AeN/BRPMYMPIqJUlijBR38S+LqBB6SUfgBbALgBzI3Ca80IP1s0iZ+sMu6kc/PIh78b8HZGvU+jMk272q+aanywwCANo9NRrG/7WpKg0GBPExwwau/klbHAIBFRKrM84VwIkQMgL9ysGea0GgDHAJgKYOMkXusUAEcD8AN4aRzXbR3m0MyJ9oXiz1zpfNuRTviCIbjsI0xdyigCFDught8YddUB7pwY99Ik0Ad0GoXitvsKAWg5H1M48kHD6POUAT5tgFd2JH6tD1/LQbjC2x0yA2UlJSOeT0REyS0RRj6yTNu9w5zTM8S54xIOch4KN38tpbSwZDVZYV55Nlx27VveH1Kx9cgoIxmKAmQZFaPjPvWqzTRlRrFjS5cR+HDkg4YTTLJCg+11Rl5TrSxGSbZrhLOJiCjZRWXkQwjxFICF47zsc1LKDwCMst6p9hLj75XpYiFsAP4KYDa0pXd/NJ7rpZQLhrnvVgDzJ9M3ih+HTcHiqlx8eEDL91h/qB3LTXkgQ8opBzrDA3LxTjo31/jInYJD7T69yWV2aThKbpU+hpwMhQZ7mw7o2632EtiTYGlgIiKauGhNu6rG+PMx+t89dQ3YN9TH0f3ndo/zNfr9EdrqVjsBXBDOI6E0tHRKnh58bBjLildWLrdrqvGh5s9AXb1R44MJ5zQcV6FRaDA3kPjBR6DVyEvpdpeNcCYREaWCqAQfUspjJnFtpxCiA9pSu1UAtg1xWv/C7+POnhRC/ArADQAOA/iElDI5Fr6nmJhfYUxdOtjSM8KZYVYut2sa+ejOrIIMl/gQAqjIY/BBQ8suqda3i9VmqCEVSgKPJiimvCZfJhchJCJKdYnyF6k/iXz5wANCCAe0KV0+aCMXYyaE+C6AbwJohBZ4HJ5kPynJVeYZ05Vqx11oMM7Bh6nGR7PDeFNWnuOG054oP7qUaAYWGmxrS+zPW9y9xoiiyGWBQSKiVJco72BWh59XDHHsQmjL7L4qpfQOcXxIQoibAPwMQDuAc6SU4wpcKDWZpyu19PjR5w+NfIE5+Oi0btpVjTDX+GC+Bw0vK78MfmkqNFh3wLrOjEGO35ga5iycZmFPiIgoHhIl+HgAWq7HxUKIS/t3CiFKANwZbt498CIhxI7wo3LA/hUAfgctR+R8KeWGWHWckktpjht2xVi/oLZ9uAXWwnIsGvkIBYF2Y5bhAdVYfrQ8b1K1NinFCUWJLDTYeMC6zozG34MctUNvZpVWW9cXIiKKC8vrfACAlLJVCHEDgCcAPCWEeBNAM4CzoNUAuU9K+eoQl/YnuTv6d4QDlr9AC6z2A/iiEOKLQ1z7rJTy2ah9EZQUbIpAWa4bNeEpVzVtfZhVkj38BdmmOejdDYAaApQRaoNES2cNoAb05i5/EbTZg0BZDoMPGlmHswQVPq2Oqq8lcWebyo4afSnDgLShqIzVzYmIUl1CBB8AIKV8WghxGoAfADgBgBPAdgC/lVI+PI5bZYSvBYBF4cdQDgB4dkKdpaRWmefRg4/a9lHyPswjH1IFuhsj98WKacoVsstR0y31Zlkugw8aWZ+7VMuSA6B2DFe71XqdDfuRG96ulwWoKJhwKSciIkoSCRN8AICU8h0A543j/EH1P6SUBzDJuiCU2irzPdqYGMaQdO7MBFy5gC88NaTrSHyCD3ONj4IZqO8w0p048kGjCWZVAOFvWXt34tZT7ao3go8GUYQpbseI5xMRUfJLlJwPorgxJ2yPOvIBRAYb8Vpu1zzykT8d9Z1G8FHKkQ8ahcg10uA8ffUW9mRk3hYjr6ndWWphT4iIKF4YfFDaqTLVyKgZ03K7psJn8Uo6Ny2zG8idhvZeI/+jnMEHjcJVaORO5AaaLOzJyNR2Ix+lz8MaH0RE6YDBB6WdStNyu2Or9WEuNBin5XbbDuib7S7jU2xFAMVZrvj0gZJWdrERfBSpTZCqamFvhufsNgoMhnIqRziTiIhSBYMPSjuVppGPhi4v/MFR3phFLLcbhyksUkZMu6q3G8FPUZYL9gSuVk2JoaBiur6dKXzoaGuxsDfDy+wzRhJt+VzpiogoHfBdDKWd8jw3RHhJAikRkcw9pIgq53EY+ehpAgI9evMwjLnwnHJFY5FTUAafNJK3W+r2jXC2RVQVeUFjSpiniMEHEVE6YPBBacdlt6Ek25i6VNM2WqFB87SrOOR8mPI94M7DoT6jr6Vc6YrGQCs0WKi3uxoPWtibYfQ0woGg3swtmz7CyURElCoYfFBaMk+9qhltxavsOFc5N690VTA9YmSGIx80Vh2OEn3bm4CFBn0tRkDULjNRVlxsYW+IiCheGHxQWqo0L7c7WtK5OfjwdQK+7hj1KmyEGh9cZpfGqtdjTNeT7bUjnGmNjnrj+7xWFrF4JhFRmmDwQWnJPPIxaq2PrBJA2Ix2rEc/RqjxwQKDNFbBTCNotnXHaZW2cehtNL7PW2wlcHAhBSKitMDf9pSWqsaz3K5iA7JMBdBiHnyYcj4KpqPBHHzw02EaI5FXpW97vIlXaDDQahQY7HaXjXAmERGlEgYflJbMtT5q2kdJOAfiW+XcNO0qlDcdjV0+vc2RDxorV/4UfTsnAQsNKp3GVDBfJgsMEhGlCwYflJbMVc7r2r0IqXLkC+K13K63A+g1ajK0uioj+saRDxqrrBJj6driUOIVGnT3Gj9HIrdqhDOJiCiVMPigtGQe+QiqEo1do9T6iNdyu+Z8D7sHR4K5RhfcdmQ47bF7bUopBeXG0rUZwofOjlYLezNYjr9B33YUVlvXESIiiisGH5SWMpx25GcYRdhGX/HKNCc9liMf5pWu8qtR12macsVRDxqH/KLyiEKDrUcSqNCgvwfZaqfezC6ttq4vREQUVww+KG1VmZbbrRk1+LBg5KNgRkSyOQsM0ngIRUFTghYalO1G3RG/tKGwbMoIZxMRUSph8EFpa1zL7ZoTzrtiuHJQW2SBwToWGKRJ6HAYhfu8LYdGODO+uhsP6Nv1sgCV+ZnWdYaIiOKKwQelrYgVr8Yz8tFdD8Qqebc1ctpVA2t80CT0mpawVROo0GBng/F9Xi+KketxjHA2ERGlEgYflLYmPPKhBoGeGC1d2ho58mGubl6W6xniAqLhJWqhQW+zMQWsw1kKIYSFvSEionhi8EFpK7LQ4Ci1PlzZgDPbaMci6TzoA0y1D1AwI7K6ea4r+q9JKc28hK2nL3EKDZpzPno9rPFBRJROGHxQ2jJPu6pt74OUo9X6MK14FYuk87aDAMJ9EDbInKqIkQ8mnNN4OQuN4CMn0GhhTyI5uo0gO5TN4IOIKJ0w+KC0VZVnrHblDaho6fGPfEFOjAsNtpqWQs2bgs6AQF8gpO8q57QrGqes4mn6dlGoGRgtwI6TTNMojC1/6ghnEhFRqmHwQWkrx2NHlsso2jd6rQ/TJ7SxWPEqosZHZL6H065E1CUhGov88mp9O0P40NXRbF1n+qkh5AaNnClP0bQRTiYiolTD4IPSlhBi4knnsZh2NaDGR31EjQ8Xk3Jp3AqLKiIKDbbV7R/h7DjpboQDQb2ZWzZ9hJOJiCjVMPigtFYVsdzuKEnnESMfMZh21TZwpSsjGCrP4ZQrGj/FFllosLPB+kKD/lajD20yC+XFRRb2hoiI4o3BB6W1iKTz0aZdxXzkw5TzkT8d9R0+vVnKAoM0Qe2OEn3b23J4hDPjo9M0+lIri1DKVdyIiNIKgw9Ka+OadhXLkQ81FF7tKmzAtCtWN6eJ6nWX6tuh9hoLe6LpaTqgb7fYiuGy26zrDBERxR2DD0pr46tyblpq19sB+EeZpjUenbWAGjDa+dUR0664zC5NVCDTCJoTodBgoPWQvt3lLh/hTCIiSkUMPiitVeUby+2OOvKRVQoI049MVxSnXpmTzbPKAGcG6juNaVdlDD5ogkSOEXwkQqFBpdMYffFnssYHEVG6YfBBac087arLG0RHX2D4k212INOYPx/d4MOU71Ggrf7TEFHdnMEHTYyrYIq+neO3vtCgu9f0c5NbaV1HiIjIEgw+KK0VZTnhshs/BpYlnbdFLrPrDYTQaip6yOCDJiqzxCjiV6RaX2gwx2+MvjgKq63rCBERWYLBB6W1cdf6iFXSeWtkgcFG05QrIYCSbK4IRBOTXz5D3/bAh97OFus64+tGltqlN7NKqq3rCxERWcI++ilEqa0y34N9zT0AgNrRan3EauSjNbLGR50p2bwoywWHjZ8T0MQUFZfDKx1wC21KYeuRfcjItaa2huw4jP5SmX5pQ3HZlBHPJ0olUkpIi0ceKT0JIRKqUDGDD0p7VRNd8SpaIx9SRk67yp+O+mZTvgeTzWkSbDYFR5QiTJFasNzZeBA46jhL+tLTeABZ4e06WYiK/ExL+kEUL6FQCC0tLejq6oLf7x/9AqIYcTqdyM7ORmFhIWw2a5c458eplPYmPO0qWiMfPc2Av9toF0yPSDbnMrs0We32Yn27r9m6QoOdDUaQXS+KkJ/hsKwvRLEWCoVw6NAhtLS0MPAgy/n9frS0tODQoUMIhUKW9oUjH5T2IqqcjxZ8mKdddUVp2VLzqIc7F8goQF2HEdiwwCBNVq+7FAgv5KZ2WFdo0Nts1Phod5Qm1DQAomhraWmB1+uFzWZDaWkpMjMzoSj8zJfiT1VV9PT0oKGhAV6vFy0tLSgpKRn9whhh8EFprzLPVOtj1GlXAxLOfd2AK2v488fCvMxuPpfZpegLZJYD4TxvJZpLRI+TbDdGXXozWOODUltXl/ZDV1paitzcXIt7Q+lMURT9e/DIkSPo6uqyNPhgCE5pzzzy0dLjR59/hOHIgumAK/xHRA0CW56efAcGJJsDQH0Hcz4oeoSpnoanz7rgw9Fdq2+Hsljjg1KXlFKfapWZydwmSgz934t+v9/SxQ8YfFDaK812wa4Y0z9q20dY8cruApZcabTXPTL5Dgyo8QEMCD448kGT5DAVGsz2N1nWjwxT4GPLnzrCmUTJzfzGjlOtKFGYvxcZfBBZyG5TIt7gj7ri1fJrje3atUD95sl1YECNj5Aq0dhl1PlgwjlNVlaxudBgkzWFBtUQ8oJG4OMpZvBBRJSOGHwQYZwrXpUtBCqPNtprJzn6Yc75KJiOlm4fgqrx5pAjHzRZBeXT9W0PfPB2tca/E90NsMOY0phXNn2Ek4mIKFUx+CDCgBWvRhv5AICjrzO2Nz0B+EcpTjgcXxfQ22y0C2ag3pRsnu2yI8vFdSFocgrDhQb7tdbtG+Hs2Ai2GStdtchslBUVxr0PRERkPQYfRACq8o0Vr0addgUACy4FnOFVrnwdwLZnJ/bC5ilXdjeQVRaR71HKUQ+KAofdhiZhvNnvaDgY9z60mwKeI7KQI3pERGmKwQcRgKrxTLsCtOV1F11utNeunNgLR1Q2rwYUJWLkgzU+KFraHcayit6WQyOcGRu9TQf07WZbCdwOayvsElH8CCHG9aiurra6ywnTj1TE+RxEmMC0KwA4+lpg7cPa9uH3gcbtQMlR43vhIWp8RIx8MNmcoqTHZRQaDLXHv9BgsNWo8dHtKov76xORda699tpB+95++23s3bsXS5YswdKlSyOOFRUVjev+QghMmzYNBw4cmEQvKV4YfBAhMuG8ocsLf1CF0z7KwGDFMqB8CVC3UWuvfQQ47xfje+HWIZbZ7WSND4q+QGY50K1t27qOxP31RacR8PgyWWCQKJ2sXLly0L7rrrsOe/fuxSWXXILbb7897n0i63DaFRGA8jzjTb6UkaMPIzIvu7vpb0BgjNf1axulwCCnXVG0mAoNuvoa4v7y7h5TwJNbFffXJyKixMDggwiAy25DaY5Lb9e0jXH1qkWXA45wsnpfG7D9n+N74QE1PgCOfFBsOPKNN/w5vjgHH1Iix19v9KVwWnxfn4iSSktLC771rW9h9uzZcLvdKCgowLnnnot//etfEeetXLkSQmhFgg8ePBiRN3LGGWfo523YsAHf/va3cfTRR6O4uBgulwszZszALbfcgiNH4j8SnO4YfBCFmade1Ywl6RwA3DnAwkuN9ngSz4M+oMM0975gOqSUHPmgmMgqqda3C9Xm+BYa7GlCptpt9KVsZvxem4iSSm1tLY477jjcdddd8Pv9uOSSS7Bs2TK88sorOOecc/DrX/9aP3fWrFl6PklmZiauvfZa/XHuuefq5/3iF7/A3XffjVAohJNPPhnnn38+pJT43e9+h2OOOYYBSJwx54MorDI/A+sOtQMYR9I5ABx9PbD+MW374NtA8x6gaNbo17UfAhB+AyhsQO4UdPmC6PUbhdgYfFC05JcZow0e+ODvboUzOz61NmTDVojwdpPMRXFp5YjnE6U6KSU6vUGruzFuOW67PtIQKzfffDP27duHa665Bg8++CAcDq1G0dtvv41zzjkH3/rWt/Dxj38cixcvximnnIJTTjkFjzzyCIqKiobMLQGAm266Cb/+9a9RXl6u71NVFXfccQduu+02/OAHP8BDDz0U06+LDAw+iMLGVeU84sKjgZIFQONWrb1uJXD2HaNfZ55ylVsF2J1oaOnSdzlsAgUZzrH3g2gExSUV6JNOeIQfANBauxtl8+ITfHQd2oSc8PZOtQoLCzJGPJ8o1XV6g1jy43+NfmKC2Xjb2cj1OEY/cYL27duHVatWIScnB/fdd58eeADAKaecgptvvhl333037r//fvz+978f833PPPPMQfsURcGPfvQj/PGPf8Rzzz0Xlf7T2DD4IAqrMi23O+acDwAQQlt298Vva+0NfwXO/CFgd418nXmZ3XCyed2AZXYVJbafMFH6cDps2K2UY7bUCgy2H9yCsnknxOW1ew5v1oOPw47pOIVBNREN4e233wYAnH/++cjLyxt0/JprrsHdd9+NNWvWjPveLS0teP7557Flyxa0t7cjFNJmGQQCAbS2tqK1tRUFBQWT6j+NDYMPorCIWh/jGfkAgMVXAP/+ERD0Ar0twI7VkbkgQ2ljsjnFV5N7Omb3acGHt2573F7X1my8Vk/enLi9LhEll/7ci+GK+/XvH2+OxuOPP46bbroJ3d3dw57T1dXF4CNOGHwQhZmrnNe1exFSJWxjHXnw5APzL9GW2wWAdY+MHnwMUeOjwTzywXwPijJv7kyg7w0AgL1td3xeVFWR27VXb9pK58fndYkSWI7bjo23nW11N8Ytxx2ft43D5ZX07x9P3snBgwdx3XXXQUqJe+65BxdccAEqKyvh8Wh/80866SS8++67kPFchCPNMfggCjOPfARVicYuL8pzPSNcMcDR1xnBx743tGlV4aBiSEPU+KgzjXyUc+SDosxWOg8Ir3ib17N/5JOjpf0gXNIYScydtjg+r0uUwIQQMc2dSFYVFVoB0v37h/791F/B3Jw4PpoXXngBfr8f3/jGN/C1r31t0PF9+/YNcRXFEpfaJQrLcNqRn2H8MRjXilcAMPUEoGiu0V735+HPVUNA2wGjHZ521cBldimGcqYs1LfLgrVAKBDz1ww1bNO3D6nFmF1VFvPXJKLkdMoppwAAVq9ejfb29kHHH3tMW1ny1FNPjdjvcDgQDA69elhbWxsAYMqUKYOOvfXWW2hoiH/R1XTH4IPIpCrfWIWnZrzBR3/ieb/1jw3/5q7zCBDyG+0hEs4ZfFC0Vc5ciKDUfu3bEULnkZ0xf82OAxv17Z1yKmaVZMX8NYkoOc2YMQMXXHABurq68LWvfQ2BgPE39N1338Xvfvc72Gw23HLLLRHXVVRUoKGhYciAZc4cLc/sscceQ09Pj76/trYWN998c2y+EBoRgw8ikwkvt9tv8acBW3gln55GYNdLQ59nnnKVVQo4MwEADUw4pxgqzsvGYVGqt5v2bYr5a/qObNa3G9zT4XHaYv6aRJS8/vCHP2D69Ol49NFHMXv2bFx11VU466yzcOqpp6Knpwd33nknFi+OnL75yU9+EsFgEMuXL8fVV1+NG2+8Eb/61a/0YwsWLMBHH32EWbNmYcWKFbjwwgsxZ84c5Ofn46STTrLiy0xrDD6ITCojltudQPCRWQgc9UmjvfaRoc9rHbzSlS8YQkuPMRpSyuCDokwIgUanUWywt3ZrzF/T0WKMrvTlzx3hTCIioLKyEh9++CG+8Y1vwG6345lnnsHatWvx8Y9/HC+//DJuvfXWQdf8/Oc/x5e//GUEg0H8/e9/x4MPPojVq1cDAJxOJ9asWYMvfelLcLvdWLVqFbZv346vfOUr+Pe//x1RS4TigwnnRCaTHvkAtKlXW57Stve8olUyz5saec4QNT4aO30RpzD4oFjozpkFNL8HABDNu2L7YkE/8nsP6E1nxcLhzyWitLJy5cphK5IXFhbirrvuwl133TWme2VmZuL//u//8H//939DHs/Pz8f9998/5LE33nhjyP1c/Sp2OPJBZBJR62M8hQbNqk81rXIltdyPgdoGL7NrrvFRlOWE084fT4qBYqPORnZ3jFd5adkDG8KFvKQNxdULYvt6RESU8PjuhsikakChwQl98iEEsNyUeL7uz0BowCocQ0y7qh9Q3ZwoFrIqjQCg1H8IUNWYvZa/bou+vVdWYE4FC3gREaU7Bh9EJlV5xmpX3oAakYMxLks/AyjhWY1dR7TpV/2kjFxmt2Bw8FHOla4oRkpnGImabvjhazkQs9cyr3S1B1NQXZgZs9ciIqLkwOCDyCTHY0eWy0iFGnetj35ZJcC8C4z22pXGdm8L4Os02v0jH50c+aDYqyotQq0s0tsNe2O34lWg3khob86YBbuNf3KIiNId/xIQmQghopN0DkROvdr9slbbA4iccuXKBTK0qSjmkQ8us0uxYrcpqHMYCyB01cRuxStPm7HSVbBoXsxeh4iIkgeDD6IBqiKW251g0jkAzPiYscqVVI3E84hk82otRwSRIx8sMEix1JE1Q9+WjTti8yK+buT7juhNdyVXuiIiIgYfRINErng1iZEPRQGWf85or/szoIYil9kNT7kCBox8MPigGFILjRWvMjr3xuZFmoxRjx7pQmU1a3wQERGDD6JBojbtCgCWXg2IcEXnjkPA3tcjp12Fk81VVUZUN2fCOcWSu+IofbvYd0BbBCHK+mqNXJLdsgpzynOj/hpERJR8GHwQDTDpKudmOeXAnHON9rqVQ9b4aOnxI6gabwCZcE6xVFRtrHiVLXsQ6qyP+mt0HjSCj71iGioYUBMRERh8EA0S1ZEPADj6OmN754tA43ajHZ52ZR71yHTakO12TP51iYZRPWUKmmWO3m7eH/0Vr9QGI5G9I3sWRDi3iYiI0huDD6IBqvKNWh9d3iA6+gKTu+GsjwM5Vdq2GoxcZjc87aqO+R4URx6nDYdtU/R2++EtI5w9MVkdu/VttfioEc4kIqJ0wuCDaICiLCdcduNHY1JJ5wCg2IBlVw/eb3MB2RUAuNIVxV9bhrHYQbA+yite9TQjO9iqN7OnLonu/YmIKGkx+CAaIKq1PvotuxoQA37c8qu1FbEA1HcYr8F8D4oHf76x4pWrffcIZ46fNE25apHZmDplWlTvT0REyYvBB9EQIpfbnUStj355U4BZZ0XuKzAvs+vTt7nSFcWDs9wo+lfYdyCq9+4+vFnf3qlOwdzynBHOJqJ0IYQYNv8rGAxixYoVEEJgzpw5qK2tBQCsXLkSQgjcfvvtcezp2N1+++0QQmDlypVWdyVpJFTwIYQ4SQjxghCiVQjRLYT4QAhx7ehXDrrPaUKIPwkh1gkhGoQQ/vA9XxdCDDH/hShSVTRXvOpnTjwHImp8mBPOWd2c4iF/6iJjW22D7G2L2r27DxsJ7Icc1SjIdEbt3kSUegKBAK688ko8/fTTmDt3Lt544w1UVlZa3S0AwBlnnAEhBA4cOGB1V1KG3eoO9BNCfArAk9ACorcANAP4OICVQoglUspbx3G7TwK4EcAuAOsBtAGoBHAqgDOEEGdLKT83wvWU5qI+7QoAZp8DZJUB3eFlTQuMKtN1nHZFcTateiY6pQc5Qvveaz+0BfnzTo3KvZUmY0W3npzZUbknEaWm/sDjH//4B+bNm4fXX38dZWVl+vFPfepTOOGEE1BUVGRhL4f35S9/GZ/+9KdRXl5udVeSRkKMfAgh8gE8DMAGYIWU8gwp5QoA8wDsAfB1IcTHxnHLhwBUSinnSinPlVJeJaU8LXy/IwCuEUKcO/ItKJ1FTLuKVvBhswMf/5G2nVEEzL9YP9TQaZ525Rl4JVHUFWS5cFBU6e3Wg5tHOHscpERu1x69KcoWROe+RJRyAoEALr/8cvzjH//A/Pnz8cYbb0QEHgCQm5uLefPmJWzwUVRUhHnz5iE3l4VUxyohgg9ooxS5AJ6TUj7Tv1NK2QDg2+HmmEc+pJTbpJRHhti/B8D94eaZE+8upbrKPGO53UmvdmW27LPAN/cA/70JyC4FAHR5A+j2BfVTSnNd0Xs9ohE0e6r1bV/d9uFPHI+Ow3CrRp5U3tTFI5xMROnK7/djxYoVeO6557Bw4UK8/vrrKC0tHXTecDkf1113HYQQeOONN/DWW2/hzDPPRHZ2NnJycnDBBRdg27Ztw772P//5T5xzzjkoLCyE2+3GnDlz8MMf/hDd3d36OQcOHIAQAm+++SYAYPr06XrOijlvZaScj0AggPvvvx8nn3wy8vLykJGRgTlz5uALX/gCtmyJ/hLnySJRpl1dGH5+aohjqwF4AZwlhHBLKb1DnDMeofCzf5L3oRRmHvlo6fGjzx+Cx2mLzs2ziiOa5nwPuyJQlMngg+KjL3cW0PdvAICjNTorXqn12/RPtWpkEWZO4VQEIork9/tx2WWXYdWqVVi8eDFeffXVCY9s/POf/8S9996LhQsX4pxzzsHmzZvxwgsv4P3338eWLVsGjaR84xvfwN133w23243jjjsORUVFWLt2Le644w68+OKLePPNN5GZmYmsrCxce+21eOmll9DQ0IDLLrsMWVlZY+5XT08PzjvvPKxZswZZWVk49dRTkZ2djf3792PlypWorKzEwoULJ/Q1J7tECT76PxpbN/CAlNIvhNgC4BgAcwFsnOiLCCGmAPhiuPnSRO9Dqa802wW7IhBUJQCgtr0Xs0qyY/Ja5pWuSnPcUBRWgqb4sJXOA8IpSHk9+6Jyz46DG5Af3t6pTsGJpWP/Y01E6eHSSy/F6tWrsXTpUrzyyisoLCyc8L3uuecePPbYY7jqqqsAAKFQSE9ev//++/E///M/+rlPPPEE7r77bixbtgzPPPMMqqurAWgjFF/+8pfxxz/+Ebfffjt+9atfoaioCCtXrsQZZ5yBhoYG3HXXXfr5Y/G1r30Na9aswcc+9jE8+eSTEV9jbW0t6uvrJ/w1JzvLgw8hRA6AvHCzZpjTaqAFH1MxjuBDCHEitGDDBqACwCnQvuYfSCnfnmCXKQ3YbQrKct36Slc1bX0xCz4ik8056kHxkztlgf4btTDUCPh7AWfGyBeNoq92ix581LunI8Np+Z8ZosQjJeDtsLoX4+fOBYZZKnc8Vq9eDSEE/vznP08q8ACAz3zmM3rgAQA2mw3f+9738PTTT+Ott96KOPdnP/sZAODxxx+PCCQcDgfuvfdePP/883jggQfwy1/+Eooy8cyEuro6rFy5Eh6PB48++uigr7GysjJhVvOyQiL8VTB/LDZcQYWeIc4di5kAzEv1qgBuA3DXeG4ihNg6zKGZ4+wPJZHKPI8efEQt6XwI5mlXTDaneKqsngefdMAlAlAg0Ve3A55pyyd1T2eLUS29L2/uZLtIlJq8HcAvk7D45ncOAp68Sd/m5JNPxjvvvINPf/rTePPNNycVgJx99tmD9s2ZoxVRraur0/c1NjZi48aNOOqoozB37uDfTW63G8cccwxWrVqF3bt3D3nOWL3++usIhUI4//zzUVVVNfoFaSYqCedCiKeEEDvG+Tiu//KxvMRE+iWlfExKKQC4oE3Z+jmAHwJ4M7zCFtGwIgsNxi74qDcFH1xml+KpsiAL+1Cht5v3bxrh7DEIBZDbe0BvOsq50hURDbZ69WosX74cW7duxTnnnIPOzs4J32uoN/f9uRk+nzGt+eDBgwCA7du3RySOmx+rVq0CADQ3N0+4PwBw+PBhAMDMmfyMeijRGvmohvbmfjz6x/a7Buwb6juw/9zuIY6NSkrph1bz4wdCiBYAdwP4HwBfGeP1Q/4FDY+IzJ9InyjxVeXFoNDgEOo7TAUGudIVxZGiCDS6puEov/ZHuefIcIO8Y9S6Dw4ZAAAEpYKi6kWjXEBE6Sg3Nxcvv/wyTj/9dKxduxYXXnghXnrpJWRkjH/a53AV0wcKhbT1hsrLy4ccLTGb7FSwfmPtW7qJSvAhpTxmEtd2CiE6oC21WwVgqLXR+sPaQxN9HZPH/n97dx4fdXXvf/z1yU4gIeyQTXYQrKJScUHF6rVaBZWCG8picdfba7209lorlqtt+dm6QqsiikVtXcEi1q2iohW9RUFBAREEwiJhDSF7zu+P72SykD2T+Q6Z9/PxyOO7nfnOZxhg8plzzufgJR8X0MjkQ6JTZqcq5XZbcdhV1Z6Pnhp2JWGWn9IPdnnjomNy17boXiXbPic+sL/B9WJARmg+wEXanKSO3hCmw01S6Nay6Nq1K2+++Sannnoq77//PmPHjuWVV14hISEhZM9RVUUPSc+ePWstixtKWVlZAHz99dcNtIxOkTDnA7wpj6cBx1Ej+TCzeOAooAhYE4Ln2o0396NbQw0luoVt2FXVng8Nu5Jw6zYIdnm7KXktq3i1d+PK4H+s68jkP7q2b1lsIm2VWUjmThzu0tPTefvttxk5ciSvv/46l112Gc899xyxsSEqbV9FZmYmgwYNYuXKlWzYsIE+ffo06nEVyVBpaWkDLSuNGjWK2NhYFi9eTE5OTlRPLq9NpCwy+GpgO66Wa+cDScDbIVjjA+BUvNe9PgT3kjYso8qwqx15hRSXlof8OYpLy8k9ULnkTK+OSj4kvDpkVY4q7VaSA2Ulzb5XydbKRbNyk/sTHxspHzEiEql69+7NW2+9Rbdu3XjppZe46qqrcM61ynP96le/oqysjB//+Me1LvK3fv165s6dW+1cero3L27NmsZ//52ens7EiRMpKChg8uTJ7N69u9r1rVu3snz5IatLRI1I+WSYgzfX4wIzG1tx0sy6AzMDh3+s+aAqk9czapyfbmY9a2k/HHgscPhEqIKXtqlXWmUi4Fz1HopQ+S6v+j27q9SuhFmP3kMpdd5HQRxllOxs/jCBpL2VH84lXQa3ODYRiQ6DBw/mjTfeIC0tjaeeeoqbb26dUfFXXHEFP//5z/n0008ZNmwY3//+97n44os555xzOPLII+nfvz8PPvhgtceMGTMG8Er6jh8/nqlTpzJ16tQGn+uBBx7gpJNO4q233qJ3796cd955XHLJJYwYMYIjjjiCV155pVVe4+EgIpIP59xu4Cq84VAvmNk7ZvY83jCr/sCDzrm3a3nooMBPfI3zdwKbzOwjM/urmb1kZp8CnwTu9xzwQCu9HGkjEuNiq627sWVPXZWgm69qQtO5fQKJcaHvahapT+8eaXzregSPm13xqvggaYU5wcPE9OhcuVdEmmfYsGEsXryY9u3bM2vWLH75y1+2yvP8/ve/5+2332bMmDFs2bKFBQsW8Omnn5KcnMy0adMO6fkYO3Ys9913H5mZmfz973/n8ccf5/HHH2/weVJSUnjnnXe47777GDRoEO+++y6LFi1i7969XHXVVYwfP75VXt/hwFqra6s5zOwU4FfAiUAC8CUwyzlXay+FmVUE38c5t7HK+ZuAM4BhQA+85GQn8H/Ak865BSGKd9WQIUOGrFrVwgoxErHGzv6A5Zv2AjBz3NFcPDwrpPdftHIrNz3zKQBDeqWy+KenhvT+Io3x/oyzObVsGQDrhv6UAeN/08AjapGzHB47A4ACl8AH41dw1lHpDTxIpG0qLy8PDtMZNGhQixasEwmVpv69HDp0KKtXr15dV9XX5oqUCecAOOc+AM5tQvtaa5g55x4GHg5VXBK9MjolB5OP1ph0Xr3MruZ7iD/2d+gL+7zkw+1sXl2PgpwvqJgltc5lMCg9LTTBiYhIm6JUXKQeVSedt0a53arJhxYYFL+UdxkY3E/e17xaHPu/XRHcX2/Z1f7tiIiIVFDyIVKPquV2W2XOR5U1PlTpSvySlF65Vmq3ok1Q3vTKbuU7Kquk700ZQEyMFtcSEZFDKfkQqUdmp/D1fGiND/FLtz6VK5EnUoTb2/TFz9rvq1ygsLyrKl2JiEjtlHyI1COzytCRbXsLKSsPbYGGqj0fPdTzIT7pm9GdLa5r8HjPpkPr39fr4G5SS3KDh+2zjg5VaCIi0sYo+RCpR9VhV6Xl7pB1OVqivNzx3f6i4LGGXYlfUpPi2RRTWclt37dNSz7cd1WGXLn2ZGf3DVlsIiLStij5EKlHckIcnZIrl5EJZcWr3QeLKS6rHFuvCefipz3JfYL7JTu+atJjD2yqXBtkjctiYK/UkMUlIiJti5IPkQZkdkoO7m8JYfJRdb5HckIsqUkRVflaokxJ5wHB/aS9TVvl/MDmz4P738YeQdcOifW0FhGRaKbkQ6QBrVVud8f+6pPNzVQdSPyT0PPI4H6Xgg3QhAVobeeXwf0DqQPqaSkiItFOyYdIA6qX2w1d8rFNa3xIBOnSu7LiVXuXDwd2NO6BztFx/7rK454hXQhXRETaGCUfIg0IR8+HJpuL347IzGSnq5yrcSBnVeMeuH8r7coPBA87Zn+vnsYiIhLtlHyINKC1Fhqs1vOh5EN81iM1kY1kBo93b2xcxavy7ZVJylbXmb5ZmfW0FhGRaKfkQ6QBVRca3Lq3ANeEsfD1qTnnQ8RPZsbOdpUVr4q3ra6ndaV9VSpdrS3PYkCPlJDHJiIibYeSD5EGZKZVVrsqLClnV35xSO5bbXVz9XxIBChM6xfcj9u9rp6WlQq2VFa62prYmw6JqtomIiJ1U/Ih0oDUdnHVfqEK1Vof1ZIP9XxIBIjrPji4n3ZwQ6MeE7+rstJVQdqgkMckIm3HvHnzMDOGDRtGaWlprW0++OADYmJi6NmzJ3v27Ame37x5M7/4xS847rjj6Ny5MwkJCfTo0YOzzz6b2bNnc+DAgVrvJ5FHyYdIA8ws5JPO84tKySuq/I9XPR8SCTpmHxXcTyvbDQV76mkNlJeRlv9N8DCulypdiUjdJk2axFlnncWKFSv4wx/+cMj14uJirr76apxzPPDAA3Tq1AmARx55hIEDBzJz5kxycnI4+eSTGTduHEOHDmXp0qXceOON9O/fn9zc3HC/JGkGJR8ijRDqSefbq8z3iI0xLcomESEzuy/7XeXf9aLtX9bTGtj9DfGuBIAyZ3TurUpXIlK/P//5z7Rr14677rqL9evXV7t2zz338OWXX3LeeedxySWXADBnzhyuu+464uLimDdvHtu3b2fRokU888wz/POf/yQ3N5eZM2dy8OBB9X4cJpR8iDRC1UnnoRh2VXXIVfeURGJjtMCg+O+ILu35xmUEj/c0UPGqZFtlpauNricDMrq1Wmwi0jb069ePO++8k4KCAq677rrg+dWrV/Pb3/6WDh06MHv2bAC2bNnCzTffjJnxyiuvMHHixEMW5E1OTmbatGksW7aMjh07hvW1SPMo+RBphFAPu9Jkc4lEcbExbE88Inh8sIG1PvZt/Cy4v44s+nbt0FqhiUgbcuutt3LMMcfw1ltvMW/ePJxzXH311RQXF3P33XeTnZ0NwMMPP0xhYSEXX3wxZ5xxRr33PPLII4PDtCSyqSyJSCOEepXz7SqzKxEqP6Uf7H4bgJhda+ttW1yl52Nnu74kxOn7LBFpWFxcHHPmzGHEiBHceuutbNy4kQ8//JATTjiBm266Kdju1VdfBeDyyy/3K1RpBUo+RBqhWs9HiIdd9VDyIRHEug+C3d5+yoFv6m2buHtNcL+o8+B6WopIVc458kry/A6jyVLiUw4Z9tRcw4cP5z//8z+5//77mT59OnFxcTz22GPExHhfYhQXF7NqlfcFx3HHHReS55TIoORDpBEyO1Wu9ZFXVMq+ghI6totv9v2q9nz00rAriSAdMofCV95+p5IdUJwPCe0PbVhSQKfCzcHDpIyjDm0jIrXKK8njlGdP8TuMJvvgsg9ITUgN2f1uueUW7r//fgCuueYajj766OC1PXv2BBf17dZN88naEvWRizRC1w4JJFYZUtLS3g/N+ZBI1St7EIXOS6xjcJTvrGPoVe5aYigHoMjF0+OII8MVooi0EdOnTw/uL168mIMHK6tJViQe0vYo+RBphFCv9VG150PDriSS9OuZyjcuPXi859vaK14V5VSubP61S2dQeudWj01E2o533nmHJ554gszMTEaPHs3GjRurJSOdO3cODvHauXOnT1FKa9CwK5FGyujUjm9y8wHIacFaHyVl5eQeKAoea9iVRJLkhDhy4rIYUv4tAHk5q+hSS7u9366kR2D/a8tmdJWiDCJSv5T4FD647AO/w2iylPiUkNynsLCQa6+9FvAqWp1wwgm899573HfffUyYMIFjjjmGhIQEhgwZwqpVq1i+fDmZmZkheW7xn5IPkUaq2vPRkopX3+UVUbU3WT0fEmn2degL+5d6B9+tqbVN2fbKSld7OvQnRmvViDSamYV07sTh5je/+Q3r1q3joosu4oILLgDgd7/7Hddffz3XXHMN//rXv4iJieG8885j1apVPPPMM4wZM8bnqCVUNOxKpJGqLTTYgmFXVed7dEqOJyk+tkVxiYRaedeBwf3k/etrbdN+b+VckLKumu8hIo3zxRdfcO+995KamspDDz0UPH/ttddy8skn8/HHHzNr1iwAbrrpJhITE3nuued455136r3vV199xZ49e1o1dgkNJR8ijZTRCsmHej0kEiWnDwnudy7aAqXF1RsU7KVjyXfBw/ZZRyMi0pDy8nKuvvpqSkpKuOeee8jIyAheMzMeffRR4uPjuf3228nJySErK4v7778f5xxjxozhL3/5yyET0QsKCrj//vsZMWIE+/btC/dLkmZQ8iHSSBlpleV2W1LtqtoCg5rvIRGo+xFDKHXex0McZbC7xnof330Z3N3vksnM7h/O8ETkMDVr1iw++ugjTjzxRK6//vpDrg8dOpRp06aRl5fHzTffDMB1113HrFmzKCkpYeLEifTq1YvRo0czYcIEzjzzTLp27cott9xChw4d6NChQ7hfkjSDkg+RRqra87Erv5iDxaXNus8OrfEhEa5vr85863oEj/O2VK94dWDzyuD+GpfJwF6hmYQqIm3Xli1buP3224mLi+PRRx8NLiZY0x133EH//v15+eWXWbhwIQA33HADa9euZdq0afTs2ZP333+f5557ji+++IKRI0fypz/9ibVr19K1a9dwviRpJk04F2mkHimJxMUYpeVel+/WvQX07970X7q2adiVRLgu7RNYGZNJP7YBsG/TKlKOGxe8nrf5cyq+X/w29giGd0j0IUoROZxkZmayf//+BtslJSWxbt26Q85nZ2czc+ZMZs6c2RrhSRip50OkkeJiY6oNk2puxasdVRcYVPIhEcjM2JvcN3hcuuOr6td3rA7u708dEKzFLyIi0hAlHyJNEIqFBjXnQw4HxZ0HBPcT91b5FtI5UvMqj6370HCGJSIihzklHyJNUK3iVTN6PpxzSj7ksJDYs7J8bufCTVBe7h3kbSe5rHLoREq2Kl2JiEjjKfkQaYLMFi40uOdgCcWl5cFjDbuSSNW591HB/URXBPs2AeC+qxxytcOl0Sc7K+yxiYjI4UvJh0gTZHaqUm63GcOutu2rfExSfAwd28WHJC6RUOvTqztbXGXlmMJtXtKx79sVwXNryrMY2EOlLUVEpPGUfIg0QdVhV6u27uNnz33GvA838tnmvRSVljX4+KpldnumJmmirkSsjE7t+MZVLgC251uv3O7BzZ8Hz+Uk9CElSQm0iIg0nkrtijRBdufKno/CknJeWp7DS8tzAIiPNY7slcrRmR05JjONY7LS6NetA7ExlQnG9n1FwX3N95BIFhtj5LbrDUVeT0fxNm9hwbhdlZWvCtIG+hGaiIgcxpR8iDRBVudkLhiWzsLPth5yraTMsXLLPlZu2cd8vPHx7RNiOSqjI8Oy0jg6M43V2/YF22u+h0S6grQBsMPbj9+zDsrLSDuwPng9pqcqXYmISNMo+RBpogcuPZZbzhrIii17+WzzXlZs3suqrfspqjKRvEJ+cRnLNuxm2Ybdh1zroZ4PiXBxPQYHk4+0/G9gz0YSnNd7V+6MLr2/52N0IiJyOFLyIdIMvbu2p3fX9lwwzBsTX1JWzprteazcso8Vm/eyYste1u7II7AYeq3U8yGRLi17KKz09pPL8yn7+p/EBq5tct3pl9HDt9hEROTwpORDJATiY2M4KqMjR2V05PIR2QAcLC7li5z9rAz0kKzcso9Nuw8CXqWr0wd28zNkkQZlZ2Sy06XSzbx1PQpXvEj7wLV1ZHFa9/Z1P1hERKQWSj5EWklyQhwn9OnMCX06B8/tzi9mzfY8sjq3q1a2VyQS9enank9dJt3MK7ObvPWj4LUdSX1JjIut66EiIiK1UvIhEkad2ydwUr8ufoch0ihJ8bHsSMiGUi/5MCrHERZ1HuRXWCIichjTOh8iIlKn/NR+tZ5PTNdkcxFpGjNrcH2r6dOnY2ZMnz49PEHVY/bs2ZgZZ555ZoNtDx48SEpKCmbGunXrwhDd4UvJh4iI1Mm6DT7kXLGLpVvvIT5EIyISPpdccgnx8fEsWbKEnJycetsuXLiQAwcOMGLECAYMGNDqsVUkaU8++WSrP1eoKfkQEZE6dcg8dC2P9S6dQemda2ktItJ2dOnShR/96EeUl5fz7LPP1tt2/vz5AFxxxRXhCO2wpuRDRETqlJHVh/2uXbVzX5NNVmcVTBCRyGZmjBo1qkX3uPLKKwF4+umn62yTm5vLG2+8QXx8PJdeemmLni8aKPkQEZE69e+ewtcuo9q5PR36ExtT/7htEZG24Pzzz6dTp0589tlnrFq1qtY2f/3rXyktLeWHP/whXbt2DZ7//PPPmTBhAhkZGSQmJpKens6UKVPYuHFjtcdXzC055ZRTKCsrq3atoKCAoUOHYmY8//zzAPTu3Zu77roLgClTpgTn0pgZS5YsCd2LbyVKPkREpE4dk+PZEptd7VxJ1yN9ikZEJLwSExMZP348UHfvR8X5il4SgBdffJHhw4fzzDPP0KtXL8aMGUPPnj158sknGT58eLVE5oYbbuD888/nww8/5O67765272nTprF69WomTZoUjGPcuHEcc8wxAJxyyilMmjQp+NOzZ8/QvfhWolK7IiJSr/0pfWB/5XFyhipdibSEc47yvDy/w2iymEA1p2hz5ZVX8uijj/LMM89w9913V/szWL9+PR999BGpqamMGTMGgA0bNjBx4kTatWvHm2++yWmnnRZs/9RTTzFp0iSmTJnCxx9/HDz/+OOP873vfY8ZM2ZwzjnncMIJJ/Daa68xa9Ys+vTpw0MPPRRse++99zJ9+nRWrFjB1KlTmTx5cuv/IYSQkg8REalXeZdBweTjgEsio3frV3IRacvK8/JYe8IIv8NosoEfLyM2NbXF9zncEpiRI0fSp08fNmzYwNKlSzn11FOD1yp6PcaNG0dSUhIADzzwAAcPHuSRRx6plngATJw4kZdffpkFCxawfPlyjjvuOAC6d+/O3LlzOf/887niiit4/fXXmTJlCrGxscyfP5+UlJQwvdrWp+RDRETq1+dUtnzTlUzL5fmy0/lRr45+RyQih7FJkybVee2zzz5jxYoVTbrfnDlzWLp0aa3Xvvrqq1p7BqZOncrIkSMb/RxXXHEFM2bMYP78+bUmH1WrXL355psAXHDBBbXea+TIkSxYsIBPPvkkmHwAnHfeedxwww3Mnj2bYcOGsX//fu644w5OPvnkRsd5OFDyISIi9erbqztnFf0/+to2tiX1Z3JKot8hichhrL61KSqGEzXF0qVLmTdvXq3XduzYUeu1UaNGNSn5uPLKK5kxYwbPP/88Dz30EAkJCXzyySesXbuWrKwsTj/99GDbignlDc2/yM3NPeTcvffey8KFC8nJyeHYY4/l17/+daNjPFwo+RARkXqd2LczQ7J78NnmRH4xqv9hN2RCJNLEpKQw8ONlfofRZDEROvTnySefrDWhMTNOP/30kFSAGjBgACNGjGDZsmUsXryYCy+8MLi2x+WXX05MTGUNp7KyMsyMiRMn1nvPoUMPXUfp/fffZ+vWrQBs2rSJnTt30qtXrxbHH0mUfIiISL3iYmN48fqTySsqJTUp3u9wRA57ZhaSuRMSXldeeSXLli3j6aefZvTo0fztb38DDl1YMDMzk/Xr1/Pggw+S2oT3edeuXUyePJmYmBguvvhinn32WSZPnsw//vGPNvWlj0rtiohIg8xMiYeIRLVLL72U+Ph4Fi1axAsvvMCOHTsYNmwYRx11VLV2Z511FgALFixo0v2vvvpqtm3bxm233RacW/LGG2/w4IMPHtI2ISEBgNLS0ua9GB8p+RARERERaUCXLl0499xzKSws5MYbbwSqr+1R4dZbb6Vdu3bccsst/P3vfz/k+u7du5k9ezYFBQXBc3PmzOHll1/m+OOP58477yQmJoannnqK1NRUbrvtNr744otq90hPTwdgzZo1oXyJYaHkQ0RERESkESqSjV27dhEbG8tll112SJsBAwYwf/58CgoKGDNmDIMHD+aiiy7iwgsv5Nhjj6VXr17ceOONFBUVAfD111/zX//1XyQnJ/P0008TH+/1Mvfu3ZuHHnqIwsJCJkyYEGwPcPbZZ5OUlMR9993Hueeey09+8hOmTp16WCQjSj5ERERERBph9OjRpKWlAfCDH/ygzsngY8eOZcWKFVx77bWUlJTw2muvsWTJEoqKipgwYQKLFi2iY8eOlJaWMmHCBPLz87n33nsZNGhQtftMnDiR8ePHs3LlSv7nf/4neD49PZ2FCxdy4oknsnTpUubOncvjjz/Otm3bWu21h4o55/yO4bBlZquGDBkyZNWqVX6HIiIiIhGivLw8+A30oEGDqlVCEvFLU/9eDh06lNWrV692zh1alqsF9K9BRERERETCQsmHiIiIiIiEhZIPEREREREJCyUfIiIiIiISFko+REREREQkLJR8iIiIiIhIWCj5EBERERGRsFDyISIiIhJCZhbcLy8v9zESkUpV/y5W/Tsabko+RERERELIzEhISAAgPz/f52hEPBV/FxMSEnxNPuJ8e2YRERGRNiolJYVdu3axY8cOANq3b6+VzsUX5eXl5OfnB/8upqSk+BqPkg8RERGREOvSpQv5+fkUFhaydetWv8MRASApKYkuXbr4GoOSDxEREZEQi42NJTs7m127dpGXl0dxcbHfIUkUS0hIICUlhS5duhAbG+trLEo+RERERFpBbGws3bt3p3v37jjncM75HZJEITPzdY5HTUo+RERERFpZpP0CKOKXiJr5ZGYnm9liM9ttZgfM7GMzmxSie881Mxf4OTEU9xQRERERkcaLmJ4PM7sIeB4vIXoPyAXOBJ40s2Occz9rwb3PAKYADtDXDiIiIiIiPoiIng8z6wQ8AcQC45xzo5xz44DBwNfALYEEojn3TgIeAVYB/wpRyCIiIiIi0kQRkXwAU4GOwELn3EsVJ51zO4CfBw6b2/NxB9AfuA4oaUmQIiIiIiLSfJGSfJwf2L5Qy7VXgULgrEAvRqOZ2VHANGCuc25py0IUEREREZGWiJTk4+jAdnnNC865YuALIAkY1NgbmlkM8Biwj8reExERERER8YnvE87NLBVICxxuqaPZFmA4kA2saOStbwROBCY553a3MMZVdVwavH79eoYOHdqS24uIiIiIRJT169cDZIX6vr4nH0CHKvsH62iTX0vbOplZJnA3sMQ591QLYmtITFFRUfnq1au/asXnkMbrF9iu9zUKAb0XkUbvR2TR+xE59F5EFr0fkWUw0C7UNw1J8mFmLwBHNfFhE51zH9O40rdNLY87C0gErm/i42rlnKu1a6OiR6Su6xJeej8ih96LyKL3I7Lo/Ygcei8ii96PyFLPyJ8WCVXPR2+aMB8jIDmwzatxbn89bQ80dFMz+zEwBpjhnFOPhIiIiIhIhAhJ8uGcG96Cx+43s314pXYzgdW1NMsMbDc14pajA9v/MLPTalwbFtjONrP9wMPOudoqbImIiIiISIhFwpwP8CaRnwYcR43kw8zi8YZ0FQFrmnDPE+u5dmxgu6AJ9xMRERERkRaIlFK7rwa242q5dj5emd23nXOFDd3IOTfZOWe1/QDvBpqdFDh3f0iiFxERERGRBkVK8jEHb67HBWY2tuKkmXUHZgYO/1jzQWb2VeAnIzxhioiIiIhIc5lzzu8YgOBE8efwKlu9C+QCZ+GtAfKgc+6ntTymIvg+zrmNjXiOJcDpeD0fH4UkcBERERERaZRImfOBc+7FwATxX+HN10gAvgRmOeee8DU4ERERERFpsYjp+RARERERkbYtUuZ8iIiIiIhIG6fkQ0REREREwkLJh4iIiIiIhIWSDxERERERCQslHyIiIiIiEhZKPkREREREJCyUfDSDmSWZ2V1mttbMCs1sq5nNNbNMv2OLNmZ2vJndZmYvmVmOmTkzK/Q7rmhjZslmdqGZPW5mK81sv5nlm9kKM/u1mXXwO8ZoY2Y/C/y7WGdm+8ysyMy+NbN5ZjbU7/iimZl1NrPvAv9ffeV3PNHGzJYE/uzr+jnH7xijkZn1NLP7Ar9bFZjZbjP7t5nN9Du2aGFmoxr4t1Hx8+sWPY/W+WgaM0sC3gZOBrYB7wO9gROAnXirp6/3LcAoY2YLgAtqnC5yziX5EE7UMrOpwGOBw1XAaiAV799JCvAVcLpz7jt/Iow+ZpYLtAdWAjmB00OBgUAxcKFz7jWfwotqZvYkMBEwYI1zbrC/EUUXM1sCnA68CByopckfnHOfhzWoKGdmJwGLgTS8z48v8D47hgCZzrmIWRS7LTOzwcBtdVyOBa4I7P/AOfdOs59HyUfTmNlvgDuAfwFnO+cOBM7/DPgD8J5z7nQfQ4wqZvYLIBn4JPCzHSUfYWdmE4ETgfucc+uqnO8FvAocCzzrnLvcpxCjjpmdAvzbOVdY4/z1wGxgK5DtnCvzI75oZWZnAm8BjwLXoOQj7KokH32ccxv9jUbMLB3vS6tEYIJz7uUa109wzn3sS3ASZGbn4iWIm4HezrnyZt9LyUfjmVk88B1eZn6cc+7TGtdXAEcDw51z/w5/hGJmDiUfESXwjdaHQBGQ6pwr9jmkqGdm64D+wFDn3Gq/44kWZtYOryeqGLgQWIuSj7BT8hFZzOwp4ErgZufcw37HI7Uzs6eBy4HfOed+2ZJ7ac5H04zESzzW10w8Al4IbEeHLSKRyLcisE0EuvgZiARV9HYoEQyvO4F+wPVAic+xiPjOzDoBFwP7gDk+hyN1MLP2VA5xn9/S+2kMXdMcE9gur+P68hrtRAT6BrYlwG4/A5HgELlBeN+6f+NzOFHDzI4GbgWecM69Z2a9fQ5J4Cdm1gUox/v3sMA5t8nnmKLNKXhfTL0FlJjZOLwveuPx5go+55zb4WN84hmLN4fwU+fcqpbeTMlH02QHtlvquL6lRjsRgZ8Gtv9wzhX5GkkUMrNpeBPN2wNHBva3Ape3ZMyuNJ6ZxeAVZNgL/NzfaKSKX9U4vtfMZjjnZvgSTXSqqLy3A6+Az0k1rv/WzKY4554Pb1hSQ8VE87+E4mYadtU0FeVCD9ZxPb9GO5GoZmY/An6C1+txh8/hRKsfApOAcXgf9JvxEg/NSwufm/EqIk5zzu3yOxjhPbw5Bv3wCpYMAm4HSoHfmNlP63mshFanwHYi3pzZnwDdgD7AH/G+NJkf6DkUH5hZT+BMvOG6z4binko+msYC27pm6Vsd50WijpkdiTc21PB+6VrRwEOkFTjnznLOGd6H/GnAGmCJmd3ub2TRwcyygP8F3nXOPelzOAI4537tnJvvnPvGOVfgnFvrnLsHrwgAwF2B4gDS+mID2zjgZ865uc65XOfcRufcrXhzaRNQj6GfLsd7n950zm0PxQ2VfDRNXmDbvo7ryYFtbXXDRaJGYMHNf+D9wvtH59wDPocU9Zxze51z7wM/Av4NzDCz7/scVjSYjffL0/V+ByL1c869Afwf0BGvdLi0vorfq8qBebVcnxvYjgpLNFKbkA65As35aKqKiWh1rWSeWaOdSNQxs67Am3hzn54A/tvfiKQq51yJmf0NOB6vMt8nPofU1p2PN9fjT2bVOscryoFnB0q/ApxfsXaU+GYdMBzo5XcgUWJjYLu9jjmBFde7hyUaqSYwguFYvC/VF4Tqvko+mqZi2MhxdVyvOL8yDLGIRBwzSwFeAwYDLwFXOy0mFIlyA9tuvkYRPdLw1pWoTbsq1/SZ7L+KOQhKAsOjYtmCTmZmtXxeVJRn1/vhjysD25ecc3XNd24yDbtqmg/walH3M7Nja7k+LrBdFL6QRCKDmSUCC/G+NXwduEyrZ0esil921/saRRRwzlltP3gTasFbZLDi/F4fQ416ZtYNODVwWFdJfQkh59znwAa8JHxELU1GBbZ6P8LMvK7aywOHIRtyBUo+miSwMnPF6psPBxZdAcDMfoZXqWGpc07DGCSqmFksXhWMM/DKJY7VSub+MbNTzewSM4urcT7ezG7G+zarAPibLwGK+MTMTjSzM6zGGLjAuisv483pfMU5V1dJfQm93we2DwaG7QJgZsfjrY0D8OewRyWnAkfglWb/ZyhvrC7epvtf4CzgZGCdmb2P9+aMAHYBU3yMLeqY2XkcWsI1wcw+qnI8wzn3ahjDikY3ARcF9nOB2TU+2yv8t3Mut7YLElL98Obb5JrZv/H+b+oKfA9vLHshMNk5t9m/EEV8MRjv38Y2M1sLbMebr3k83jycVcDV/oUXlR7DK+U6HlhjZh/iLVlwMl6xhseccy/4GF+0qpho/nSo14RS8tFEzrlCMzsD+CVed9SFwB68Kg136MM87LpxaFet1Tince2tr1OV/YvqbAXTqZxvIK3nXeAevOFVR+MlHsV4kzdfAB50zn3tW3Qi/lkG/AnvM2II3grb+cBnwPPAn5xzBb5FF4Wcc+VmdimwBJgK/ABvSYP/A/7snAvpkB9pWGAYdcVUgvkhv7/mgoqIiIiISDhozoeIiIiIiISFkg8REREREQkLJR8iIiIiIhIWSj5ERERERCQslHyIiIiIiEhYKPkQEREREZGwUPIhIiIiIiJhoeRDRERERETCQsmHiIiIiIiEhZIPEREREREJCyUfIiIiIiISFko+REREREQkLJR8iIiIiIhIWCj5EBERERGRsFDyISIiIiIiYaHkQ0REREREwkLJh4iIiIiIhMX/B1+5udnOqKg5AAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "x_axis, vp = grid.axis_plot(part.V.vp[:,0])\n", "x_axis, vp_kin = grid.axis_plot(part.V.vp_kin[:,0])\n", "x_axis, vp_xc = grid.axis_plot(part.V.vp_x[:,0] + part.V.vp_c[:,0] )\n", "x_axis, vp_hext = grid.axis_plot( part.V.vp_h[:,0] + part.V.vp_pot[:,0])\n", "\n", "fig, ax = plt.subplots(dpi=150)\n", "\n", "ax.plot(x_axis, vp, label='Total')\n", "ax.plot(x_axis, vp_kin, label='Kinetic')\n", "ax.plot(x_axis, vp_xc, label='XC')\n", "ax.plot(x_axis, vp_hext, label=\"H + Vext\")\n", "\n", "ax.set_xlim(0,7)\n", "ax.set_ylim(-0.4, 0.1)\n", "\n", "ax.legend()" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "x = x_axis\n", "plt.plot(x, vp)" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [], "source": [ "# np.save('y.npy', x)\n", "# np.save('d1.npy', d1)\n", "# np.save('d2.npy', d2)\n", "np.save('vp.npy',vp)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "x, d1 = grid.axis_plot(part.KSa.n[:,0])\n", "x, d2 = grid.axis_plot(part.KSb.n[:,0])" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(x, d1)\n", "plt.plot(x, d2)" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.5" } }, "nbformat": 4, "nbformat_minor": 4 }