{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "2-Port Network: 'BFU520_05V0_010mA_NF_SP', 0.4-2.0 GHz, 1001 pts, z0=[50.+0.j 50.+0.j]" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import numpy as np\n", "\n", "import skrf\n", "import skrf.media as media\n", "import skrf.frequency as freq\n", "import skrf.network as net\n", "import skrf.util\n", "\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline\n", "plt.rcParams['figure.figsize'] = [10, 10]\n", "\n", "f = freq.Frequency(0.4, 2, 1001)\n", "tem = media.DistributedCircuit(f, z0=50)\n", "\n", "bjt = net.Network('BFU520_Spar_NF_400MHz-2GHz/BFU520_05V0_010mA_NF_SP.s2p').interpolate(f)\n", "\n", "bjt" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "bjt.plot_s_smith()" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(4.105588512516754, (2.478775227242761+4.2244480827589j))" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# calculate the stability circles for the source and load impedances\n", "\n", "idx_900mhz = skrf.util.find_nearest_index(bjt.f, 915.e+6)\n", "\n", "sqabs = lambda x: np.square(np.absolute(x))\n", "\n", "delta = bjt.s11.s*bjt.s22.s - bjt.s12.s*bjt.s21.s\n", "rl = np.absolute((bjt.s12.s * bjt.s21.s)/(sqabs(bjt.s22.s) - sqabs(delta)))\n", "cl = np.conj(bjt.s22.s - delta*np.conj(bjt.s11.s))/(sqabs(bjt.s22.s) - sqabs(delta))\n", "\n", "rl_900mhz = rl[idx_900mhz][0, 0]\n", "cl_900mhz = cl[idx_900mhz][0, 0]\n", "\n", "rl_900mhz, cl_900mhz" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def calc_circle(c, r):\n", " theta = np.linspace(0, 2*np.pi, 1000)\n", " return c + r*np.exp(1.0j*theta)\n", "\n", "def plot_smith(pts):\n", " n = net.Network(s=pts)\n", " n.plot_s_smith()\n", " \n", "cl_points = calc_circle(cl_900mhz, rl_900mhz)\n", "plot_smith(cl_points)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(2.8820382027100058, (-3.371227372367411+1.4990710463003132j))" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "rs = np.absolute((bjt.s12.s * bjt.s21.s)/(sqabs(bjt.s11.s) - sqabs(delta)))\n", "cs = np.conj(bjt.s11.s - delta*np.conj(bjt.s22.s))/(sqabs(bjt.s11.s) - sqabs(delta))\n", "\n", "rs_900mhz = rs[idx_900mhz][0, 0]\n", "cs_900mhz = cs[idx_900mhz][0, 0]\n", "\n", "rs_900mhz, cs_900mhz" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "cs_points = calc_circle(cs_900mhz, rs_900mhz)\n", "plot_smith(cs_points)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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p17L5tWdZdM1MZDLZwECNP8RdO1ASmP1P8AgF3/hh55WL5VwTeg0CBKwvXs/RhqNkBmSikQ5djQQg0evRLroOS3Ex6a1tGIuL8Z0zB6H04mQIDz8VUWl+tFb3UHignq5mM0GxHoi/Tlv8JmEjavwE6s6dIX/XNgxtrQTFJw2kSwa6oUjU0V9twHSsEXurGd2YIFIz0hAIBBiNRqZMmU5Xlz8ffniK0GAT42TbmSLvpUmewvo2A0IfBX8YH0Z9q4k1WTV8WdRChI+aQI+fbe7zSBz3h8Rms7F9+3ZefvllCgsLSU5O5sUXXyQjI4OKVhPL3s5CJBSw+d4MRnmpLjzY3AmblkPNUZj0W5j2FAgv7WU9VHeIJ488iUgo4sXJL5Kpz7zkeJfTyTOJidzidCENDiLwb39DHjd0QojT6eLUFzXkbK9C6S5l9p3x+EdcWO3ksNs58elGsj/7GDedN9c8+CiBMQMvHZfDhfFwPYYvaxAqxHgsjkQR50VTUxNbt26lpaWFxMREnE4bx46tZNbsPhCIOSn7HZulmXTa7Nyu92KMWcBre0pp7LEwL9GPx+fEEKJTDXXJ/82MaNwfgra2Nl588UWWLFnCF198waxZs9izZw/33nsvQUED5XqeKimTo7zZlFvHjtNNzE3wu3D9JlFA4k1gbB7QvC3nIHIOiIdPEQzRhjBz1EwO1x9mXfE6hAgZ5ztu2HWvQCDg+S1bkCanENHUTNfatYg83JEnJFx0jEAgQB/hTnCcF5UFbZzeX4cLBnKdvzZbhcKBMsHgxDFU5B4nf9d2HHYbATFxCMUiZKFa5HFeWMu7B7RvlxXd6EDGpSYjFArJy8ujt9fMLbc8g5/ftZSUfEGC5gCBZVuxCMawyy7npLOf302OIFGj5NP8Bt4/Vk27yUpioBal9EqbtfxkGUl5vJoYjUaef/55li5dSmtrK6+88gqrV6/mmmuuucgrDAN5zRMjdGzIqeXzwkZmxfqiVXxHeIUiiL4G5FrIeQvKvoDIWQP/HwZ3mTvXhl9LvameDSUbKGwrJFOfiVIytFm5d+9eOkVClr+3GktJCV1r1mItK0OZMX7IQgW1h4zYDH9M3VYKD9TTUNZFQLQHMuW3163ReZMwbRam7k5O7dlBVcFJAmLjUWq0iNykqFJ8wQW9WY2YC9qQ6d2IGBdDdHQ0VVVVZGdn43DIuHbhn9G4hePsP0iadBddB47T5ZvJxwYreMr48/QoZE7YmFPHuqwaHE4XiYHan0P8d8RUvhpYrVb++c9/8uyzz+Ln58dbb73F1KlTL/v4wvpulq/OQSUVseFX44c2/cr3wSd3glgOy9ZDUNol53S5XHxa/il/yf4LWpmWFye/SKpf6kVjHn30UYqLi/nHP/6BsacH25YtKD7dgl2ppPrahfSEhOB0Ogd/hELh4I+jQ4W5XItACMHjZYwa7Y6bm9vgj0QioTz7OF+8swq71cqkW25j7JwFg2Eja62Brs1l2Nv7UGfq0cwNwSWCo0ePcujQIeRyOXPmzCEmJoCKir/Q3LKVhiZ47cxMumfdg0Uo4rYAHTep3Xhrfzl7z7Xg7SbjkZlRLEkJ/G/Ofx7xKv8nOJ1ONmzYwG9/+1ukUil//etfWbp06b8117nGHn75bjZSsZD1d48f6KLxr7SVwoalYGiAa9+A0cu+d97SzlJ+e+i31BpqWRa8jExRJi3NLbS0tGA0Gjl79iwFBQU8/vjjuLm5oVarce/sxO3d1QgaGhBefz2S229HJJchEAhwuVyDQuxwOOhsNlL8hQFzuwuptxVhYAsmSw9GoxGxWIxWq0Wn1WA8nUNX9Xn00XHM/fVv8PAbyCBz9jsw7KnGdLwRkaccj+sjkEd60NLSwo4dO6ivrycsLIwFCxbgcp2ltOw5+vpqOJAr42PHrZjGz0EjEfPbUD8SbSL+uqeEvJouwr1VPD43htnfFHj8dzEiuP8OLpeL3bt38/DDD9PT08NTTz3Fww8//B/PW9ps5BfvngAErL87nWi/Ibolmjth861QfQTS74PZ/wuiC2ObFouF+vp6mpqaaGpqorqxmsPyw9QoaoiSRvFI9CNEB0Wj0WjYtWsXjz32GJWVlRfM4ezro+Wll+je+BGymBgCXv4rsoiIIa/b6XRRsK+W7B2VyBRipv4ihtDROiwWC93d3TQ1NdHY2EjtyWzMJYUIcOE1Jo3oyTMICAhAr9fjqO2la0s59vY+lMm+uM8PBbmIvLw89u/fj8PhYMqUKaSPT6ah/j2qa96kv9/OP3d6cDrxEczhMUQp5ayM0GNtNvPinhIq23pJGeXB7+ZEkx42fFXVT5ARwb1SKioqWL58OSUlJdx33308//zzCL/H23tF87eauOWdE9idLtbdlU6cfoiwjsMG+/4IJ/4/CM6Emz6gyy6lrKyM0tJSGhoa8Pf3R6/XD/7r4eHBlootvJDzAhqpZtB0LigoYNq0aXR1dQ15PcYDB2l66imcZjM+TzyOx803D6vBOhpMfPlBEe11JmLG+zFxaRQyxYUOo+7WFnb/4zUai86g8PFHFBFHV5+VsLAwosIiCWxSY8lqRqiS4HFdBIoEHQaDgd27d1NcXIyPjw8LFy5Ep4Oy8v+lvf1LuroVrNwZgmHho1i0nszRaXgm1J+cc2387csy2oxWJkXqeHRWFGODPYa89p8YI4J7uTidTl5//XWefvpp5syZw4YNG5DLf5gOhlXtvdzyzgnM/Q4+vDONMUEXN5lzuVx0Hn4b90NP04ecbdLFqGOnEx0dTVhY2JDOMPjWdK4x1HB34t3cFnkbOk8dXV1dqNVDpxXa29pofPIP9B49inrKFPyf/1/EuqHb7zjsTvJ2VXNyTw0qrZTpt8USFHNhny2Xy0XR4QMc/OBtHHY7aYuXIh8VQXlFBZWVlURogxjbFYzMAIp4L9yvi0CkkVJaWsrOnTsxGAykpKQwY8YMenuzKC1bicVSR36hir+XTUB4469wCkXcE+TNvf46tuXV849D5+ns7Wd6jA+PzooiIWB4B99PgJFw0OVQUVHBnDlz2LVrF5s3b+YPf/gDYvEPF3rwUEqZE+/H52caWXeihqRA7WCct7m5mUOHDrF9+3bKusW4IucQbDrFaEsWMeMy0SXNQnSJa9MpdCyKWESHpYP1xevJbs2mq7CLxIhEoqKihjxGqFKhWbAAkdad7s2b6f7kUySBgUOazkKhgMBoD4LjvKg+08Hp/XVYjP3oozwu6LLhExJG7ORpdNTXUrhvN9b2FmYvvolps2Yj81RRImygtbMN9wYRhqwG7GInQePCSU5Oxm63k5ubS0FBAf7+Yxg9+iGEAjEqRQ4Lo6tp2bSFXmEoX0k1bGrtJDPUixdmRqORS/i8sIn3j1VT3GQg0leNTi37z/9gPz4jXuVL8V0tO3fuXDZt2vSDCuy/0mqwcOt7OZxvM/HIeE/kbUV0d3eTnJxMYmIint/0U+7rgi33QPkXMOYXMP+VgTjw97CvZh/PHX8OQ6+BpPYk1j2x7nsdOdbychp//ySWc+fQzJuH7zNPI/YY2vy09zs4sbWS0wfq0HormLY8hoCoC8e6XC6KjxzkwAdv4ei3kbnkFyTPX4RQJMLlctFYVINpezWqHhHdaiuK+UGEjYmisbGRHTt20NzcTHh4ONdccw1KZS9l5Svp6PiK1lYRf9+uQ3L7y5RJlIQopPw+1J9pGhXvH6tm9ZEqTP125if685uZUUM7A//vMqJxh+NfteyTTz55Vdeyl4Otz4SvpY78OgN7a2zER4zi0dtvIDQ0FMV3Y6wSBSTcCAgg+x9QtgdCJ4Py0g6ZcPdw5ofNZ+fJnVR7VVPWVcZ4//GXzHUWe3nhvvh6BFIJXZs20bPlM6QhIchCQy8aKxQJCY73IiDSnarTbZzeX4+5x4p/pDtiybfa13tUKHGTZ9DZWE/B3s85n5eNb2gEbl46ND7ueE0YBUohlJgQnjWSk52DReti9pzZaDQaCgsLyc7OxuVSkjzufjw8xuBwFDI5qQHN6U3YiyzYI8fxYVMXR3t6uTnenyemRCAUCPjsVAPvH6uipsNMuI8az59GD6yRBIx/xeVy8frrr3PTTTeRkpJCVlYWkZGRP+o1VFVVsWfPHg4ePIje15sHFmZQa3CwqaANFwLGh3lerBkFAgidBAGpULBhoCGde9Al85xhoCWsR5MHu7buosm3iR3ndxDlEXXJhuwCkQhlaipu06fRezyLrg/XYKurQ5mWhnCIdb9GpyBuoh6HzcnZQw2UnmhG66PE4zvVRlKFgpgJk/EeFUL5iWOc3LUNi9GIPjoOsVSKPFiLOtkPZ3c/HnUipLU29uYcwKESMHPmTFwuF7m5uZw+fRpf3yTGjlmBROqBUlFIStBZzJ+vITlwMmckGt5taKe4z8qvxgTy0IQwnC4Xn+bX8/7xaspbTITolPi4/Z/egWHEVP4ufX193HrrrRQUFLBq1SrmzJnzo56/sbGRL7/8kp6eHiZMmEBCQsKgk8nucPL7LWf45GQ9v0gPZuV1CcNXyPQ0wKd3DfS0GncbXPPiJU1ng8GATqfjROUJnst7jqqeKn4Z+0seHPMgFqMFg8GA0Wgc/DGZTJhMJoxGI31GI5EFp4k6cwarXE5eehqtgYGDSRpSqXQwIUOtViOyqmg+KcDc6SQwQcOUZdG46y4Me1nNZo5+tIaCL3ai9vBk+p33EZmaMfi5payL7m0V2DssmPTwpSWfwKhRREdHc/jwYZqamhg1ahTz5s3Dw0NCVdXfqatfR1+fi6qGFARzXuWNug6MdidL/Tx5PNQPqd3Fe0erWJtVg9FqZ3qMDw9Mi7iobvr/CCNe5W9oaGhgzpw59Pf387vf/Y7w8HCmT5/+o5y7o6ODAwcOUFdXx+TJkxk7duxF9bEwYA28sKeEtw5VMjPWl7/fPGb4/FyHHQ4+D0dfBZ94uOkD8B7a+QQQEBDAq6++SmhUKKvLV3O87zhudjem9k0l2i0atVqNWq2+IDNKrVajVCoRiUT0F5fQ+vTT9FdUoLn+ejwfexSBWo3Vah0U9kHhN5hoL3ZhqVXhFDgQ6lvxi1Wh1w+Ervz8/JDJZDSVl7Lv7Tdoq60mInU80++4DzevAW+2y+bEeKgOw1d1CEQCWkJt7G/JISEpEa1Wy5EjR7BYLKSlpTF16lQOHlyP3fERKlUVnZ0SYpJf4VP7GN5raEcogNsDdDwY7IvE4WLN8WreO1ZFl9lGRpgXD06PIDPc6/9SIseI4AKcOHGCefPmkZGRwY4dOzCbzbz99tssWrRo2DrVq4HRaOSrr76ipKSEjIwM0tPTkQyzdeZ3+eBYFSs/Lxro33xbKr6aS5h15V/Cll+B3QoLXh3MtnI6ndTX11NaWkpdXR2rVq0iNDSUm2++GX9/f9oUbbx5/k1a+lq4Le42Hhj7ADLRpT2wzv5+2t9YRcd77yHy9MDvqadxmzN72Ae+s7GXA2uLaaky4B4kRh1loq2nkdbWVrRaLXq9nvCwMEwVxeRu/RihSMiEpbcyZs48hF83iLe199G9rQJreTciPwUlfu3k1hYybtw4zGYz+fn5yOVyBAIBK1asoKPjEIcOP4ifnwu5fAwekX/kH+1aPm3uQi4ScneAjvuDfZA6YWNOLW8frqTVaGVMkDsPTY9geozP/wUBHhHcDz74gAceeIDHHnuMlStXDv6+srKSzz77jLvuugt396E36/p3sVqtHDlyhPz8fMaOHcvEiRMvdDZdBvuLW3ho4yncFRJW355KrP/w9bffNZ17gmdzVLOIoqpG3NzciIqKIjQ0lDfeeINz586xd+/ewcNM/SZeOfkKn5R9Qpg2jOcnPk+CLuF7r63v3DmannkGa1Ex6unT8Xv2GSR+fkOOdTpdnD1UT9bWgcyttPmhxE/1p7Ozg/r6esrLy6mursbPQ4uzsoTumkp8wyKZced9+EcOdAhxuVz0nWmn+/NKnMZ+xEke5AjLKa+vJD4+ntzcXBwOB35+fsyePZvg4AD+/Je5JCZWo9EI8fGZD/4P8/81i9jW2o1aJByIAQf5IHXBJyfr+eeh89R39RHj58bdk8K4drR+YJeK/zf8fAXXbrfz6KOP8uGHH7J27Vquvfbai8ZkZWX7E8NgAAAgAElEQVRRWFjIHXfcMWxCw5VSWVnJ9u3bCQkJYfr06Rd0ZLxSzjb0cNeHufRaHay6ZeyQjdUsFgtnz56lrKSIwKrNTHQcw6bwpn/BKtziZw+O27p1KytWrKC2tvaiOY41HOPZ48/S0dfBnQl3ct/o+5CKLn0/XHY7nR+uoe2NNxCIRHg/9igey5YNFhj8K4aOPo5sKqe6sB1PvYopt0Sj/7ret7+/n8rKSkpKSqjIPoawvhJXv5Xw8ROZfed9KLUD45xWO4Z9tZiONyCQihGke7CpaDc2h42JEyeSnZ1NT08P0dHRzJo1i7Vr36a4+HVuWuKOSAR6/TKs3vfyeoOVXe09uItF3B/kw92BOqQCAdsLGnn7cCWlLUZ8NTJuywzhF2mj0Cp/9HY6P0/B7e7uZtGiRZSVlXHkyBHCw8OHHOdyudi2bRs2m40bb7zxPzKRrFYr+/bto7y8nIULFxIxTN7vldLU08ddH+RR2mLkuWvjWT5+YLvN5uZmcnNzKSoqIiwsjLi4OCIiIpC1FsKWu6G7FiY9BlOeAJGEvr4+PD09OXv27JD3w9Bv4KWcl9h2fhuRHpGszFx5Wdq3v66O5j8+R+/x4yjGjsX/f1YOm/MMUHW6jcObyjB1WonJ8CNzcQQKt29fEi6Xi+rz5zmyaS1tZ/IRiMTEzLyGWb+4HcnXL1dbSy/dn1diLe+mR2jGkqriQEUW6enpCAQCjhw5gt1uJyVlYMPue+9dxuOPxxMd04pAICE4+E4MnrfySq2BLzsMeEpEPBTsy20BOhRCAYfL23n3SCVHyttRSkUsSQniromhP+ZuhD8/wW1ra2PixImoVCqOHz/+vWmLdrudDz74gMjISKZMmfJvnfMbLRsWFsbs2bOveqpkr9XOQxtPcaCklQVRaka7zmMy9JCcnMy4ceMuTmW0GmH3E1CwHgKSYfE74BVOZmYmM2fOvGDJ8K8cqjvEyqyVtFvauSXmFh4a+9Cwtb7f4HK56Nm2jdYXXsTR24vuV7/C6757h2yVA2CzOsjbVU3BvlokchEZ14cTN0E/WLD/DW21Nex88290VFWAQkXkrAVMXXgdGo0Gl8vF/tU7CG90R2IWIAp34yhF9AjMzJo1izNnznDy5EmkUiljxozh/vvvJy0thD88FU9Hxx4kEk9CQn5Ni9v1vFzdwaEuIz5SMb8O8mF5gBcqkYiiRgPvHq1kx+lGHE4XcxP8uHtSGON++Hzon1cCRlNTExkZGQQGBnLs2LHLcgQJhUIiIyPZuXMn7u7ueHtfuofxd7FarezZs4fjx4+zcOFCMjIyfpDMK5u1D21PObVNrRxpEdMj1fHMXdcTFxUxtIkvlkHMfPCO+TrmuxqUnrSK9Gzfvp177rln2HOFaENYHLkYY7+RjSUb2VW5i1BtKMGa4GGPEQgEyGNi0C5ejL25ma716zHu2o00NBRp8MXHicRCgmI9CR/rQ2uNkTNfNVBb1Il3sBsq7bcOMpXWndEz5uAdHEr92dM0n84l7+hhatq7sLtcnCg5yYyHr0eilGE53U5gpwY/Tx8+z9lHeHQEs2bNoqOjgzNnzjBlyhQKCsrZubOZhx58B6u1koaG9Qi6dnJzYChzA5Mp7bWytqmDdY0d9DtdTPHTcl2SniUpQYhFQnYWNrEmq4Yj5e1o5GJCdSqEP0xTu59PHLeuro7MzExiY2P54osvrvj4hoYGNmzYwK233oqvr+/3jq+trWXLli0/mJaFgRdDVlYWOTk5JCQkkJ6ezuHaPn7/6Rl0ahlvLU/+/mT6nnrYej9UHcYSOJH4J/dz6nzrZa2981vyeS5rIO47L3QeT6Q9gad86I27v4vp6DFa/ud/6K+pwW32bHyf/D0Sf/8hx7pcLsqymzn2aQUWk43EqYGkLgi9YGNuAJvVQs7Wj8nZ/ikCgRCLlx+aqDhuuPEmfH19cRj76dlbjflkCwKFmCJtEzXKTm648QY6Ojr44osvaG1tpb29nfPnz7N582b6bac5f/4ljMZzKJVhhIY8RJ18Kq/XtvNlhwE3kZA7AnTcE+SDTiqm12pnc14d7x2roq6zD3+tnF+kB7M0NRhvt6uaE/3z0Lh1dXWkp6eTnJzMrl27/q05NBoNGo2GHTt2kJSUdEltffLkSXbu3MmCBQvIzMy86lrWbreTk5PDJ598gkKh4IYbbiApKQmlUkmsv4apUT7sON3Ih1nVBHkqifG7hBDKNZC0DFTeiAs3cEcinCytJ3T8wkvuZQTgr/bnhsgbEAlEfFz2MVvKt6BT6IjyiLqkP0AaHIz70iUIZXK6P/2Urg0bQCREkZg45KbcukA3Yifo6e9zcOZwA8VHm5AqxOiC3C7Y2zc4YTQxEybTUl1Jb1UZou528s+co8VgQj8qEI9xAchjPLHVm/CsFxPs0HEg7zAhoyOZMWMGWq2W7u5uvL292bZtG2PHzCIh4X7U6hi6u3NpaNyAqGc/SwNDuSE4mZZ+B+uaOni/oY0Om51EjZLJYTpuywghMUBLXZeZj3Lr+OB4FZVtJrzd5Phr5VcjnPTfn/LY1NREeno6KSkpbN++/T+ay9fXF5PJRFZWFgkJCRflLjscDvbs2cOZM2dYvnz5YGO4q4XT6aSwsHBAG/T3s2jRIlJSUi4KJflq5Fw3NoC8mi5WH62i12onM9xreLNNIBhY6yYspi5rC8m2HGgqgJBJILt08r1IKCLVL5WZwTM53XaaDSUbONV6iiRdEu7y4cNoApEIZUoK2oUL6a+poXv9Bgx79iILD0M6xH0TS0WEJOoIHa2jrdbI2UMNVBW04+6nRKP79vsr1G5UG/vwDA7B0dVOX00F/e2tHC8oxGjtJzA6BPeMQCQ+ChxVvYzqdqf1dB2tzm7GTUwlNTUVmUxGbW0tRUVFXxcxTCQq8m5U6ii6u3NoaNgAPfu5ISCUm0NS6HE42dDUyer6dhotNmLUcpL1WhaPC2ThaD0uF+wsbGLtiRr2l7QgFgoJ91H/J611/rsFt7W1lYyMDOLi4ti5c+dVmTMkJITy8nJKS0uJjY0dfHuazWY2bdqE1Wrll7/85X8U5hmKxsZGNmzYQGtrK/PmzWPSpEnD1s8CKKViFo0NoKfPxvvHqsmr6WJylDcq2SW0v8KDCnUab7yzlhmeDQhOfgCawIE9fL9HS3gqPFkUsQgvuRc7zu9gQ8kGrA4rSd5JSITDWycijQbtvHkoEhMxHTpM15o1WM+fRzF2LKIhvp9KKyMmww+vADXVhe0UHqyno8GEb4gGmVKC1Wplx44dLFl+G6nzrsPNU0ft6ZM4GqrpN3Rz+OQpxDI5IclRqMf7I1RKkNT0oyqzU326Aq8Yf8JiIkhPT+edd97B5XKRn59PT4+B8PBJhIffiUoVQVdXNg2N63F07+dafRi3h6ZicbrY3NLJO3VtlJotBMglxHuqmRrtw22ZIejdFeTXdvFRbh3rsmvo7O0n2FOJu/KKQ43/vWvczs5Oxo8fT0BAAAcPHryqc9vtdtatW4evry9z586lra2Njz76iNjYWGbMmHFVq4jsdjuHDh3i1KlTzJkzh4QhWqd+H5vz6nhm61k0Cgl/XzaWjPBLVw35+/uz4Y0/Ma37Y6jPGWgLO/+VgaKFy6C9r51X815lR+UO/FX+PJH2BNODpn/vdTutVjpWr6bjrbdBJEJ3zz143n7bkIULMFA2WPBlHSf3VONywpiZQbi826lvrOWmm24aHGc1m8nd/gknP9+KCxeSoDAUYdEsuuFGPD09B/b53V+N6WgjAkCR7ovnrDBsIgfJyclMmDBh0HpKTU1l0qRJKJVyWlp2UlW9CrP5PGp1DKEhK3BqpvJ2fQdrG9sxOpyM16q4L8iH2ToNwq97dmVXdbImq5q951pwOF1MiPBiaWows+N8kUsuTnUdgv/OcJDNZmPy5Mk4HA5OnDjxg5TjWSwW3n//ffz8/AZLAJOSkq7qORobG9m6dSteXl7Mnz//khr2+yhpNvDr9flUt/fyyMwoHpgWMazpvGzZMsRiMevWfAgn/jGQ8ywQwoxnBzbhFl7Ww8WRqiO8dPIlqnurSVQnsshtEXKLHJPJhMViGbJ7pEgkwt1qJWj/AVRnzuDS6RDfeSeaedfg4eHx7Y4P38HUZSVrawVl2S0gtpM0x4+J8xMvCh8Z2ls5unENxUe/QqJUYfXWM3HRTYzPyEAgEGDr6qN0bTbaRiECmQjNtGBEYz2ITYxjzpw5zJ8/n9OnTyORSEhPTycjIwOFQkZLy+dUVb+B2VyFShXJqOB7UHnN46MWA2/Xt1FvsRGmkHFPkDdL/DxRfm0iN/dY+Divjk15ddR39eGulHD92ACWpQYP3W/sW/47Bffee+9l9+7dVFRUXLWMp6E4duwY+/fvZ+LEiVe1IOFqaNmhMFntPPXZGbYVNDIpUsdrS8fgNUQHiL1793LzzTfT0tIy4ITrqobPH4Xz+yEgZaDDpO+FOx4YjUYaGxtpbGwcbFLncDhwc3ejTFnGEccRHDiY5z2PpaFL0Sq1iEQihEIhAoHggs6RZrMZo9GI9WQ+bh9/jLypiR5/f06NHYMjLAx/f/8Lemp9I8wVhQ3sWp2PyKpCF6Qm8/oIguIu9nI3VZRyaO1qGkqKEKrcUEbGc+M99+PlNWCJnDtSgOmLWgJsHoi0UpzJWsbcPJE//uk5li5dysGDBykqKkIqlQ4KsFwupbV1FzW1b2EylSCXBxAcfDc+fjexu8PCP+vaKDCa8ZSIuE2v485AHd7SgSWE0+ni+PkONubW8sW5ZmwOF2OC3FmWGsSC0XrUFy9vfhzBtdls1NfXY7FYrmSefwuj0UhXVxd6vf4H7VZhtVqxWq0oFAr6+vpQKBSXFRf+Pr55cIVCIQqF4gJrQS6XExgY+B+dx+VysTGnjud2nMNDKeGNm8eRFnrxwx0WFsYTTzzBvffe+82BULgZ9j4Jlh7s41dQ7n8tJRXVVFZW4nQ6LxIorVY7+MJpM7fxct7L7KraRYA6gEeTH2XWqFnf+0JyORz0fPYZra+9jqO9Hens2RgXXUejxUJTUxMtLS1otVoiIiJwOp309VlICMzgxLZKjB0WgmI9yLg+Au/gCzWYy+WiIieLox+tobOxHpfSjcR51zH7xqUIBAIqKys5/NEXTJeNQdhmo1/h4untL/Orvz7CtOnTaGlp4fDhw5w7dw6pVEpaWhoZGRkolUo6Or6iuuYf9PScRCLxJDjoDvT6X3DSLOKfda180W5AKhRwg68Hvwr0Jlb9rXOts7efLfn1bMqto7zVhFIqYmGSniWpQYwLdv/mfv04gltVVYWbmxteXj9saZTRaKS8vJyIiIir7hz6LiaTid7eXry8vBCLxfT399PZ2Ymnp+d/pOH7+vro6elBo9GgUCgu2hWvo6MDo9FI6BDdJq6Uc409PLA+n9pOMw9Oj2TF9IgLvJwrV65ky5YtFBQUDP6up6eH82dycM9+iTBjDgaJD43jfovv+CW4u7tf1t82tzmXF3JeoKyrjHE+43g87XHivS5d7A/gMJnoeOttOj/8EEQivO6+C6877wSZjObmZsrKysjKygIgJiaGiPBIrI1KCvbVY+21E5XuS/rCsAs80ABOh4Oiwwc4unkdvZ0dKHz1XPvAbwiMjqOmpobNmzazOHku6rM2bE29VHbVEXxjEqNmxCMQCmhtbeXw4cOcPXsWiURCWloamZmZqFQqurpzqal+k47Ow4hEagIDf0lQ0B3U29W8VdfG5uZOLE4XGe4q7gjw5hqdFsnX5r3L5SK/tptNubXsON1En81BqE7FojEBPDwz8scR3OLiYmJiYn5QobVarRQVFeHn54f/MMH8q4HJZMJsNuPl5XVBzew3PYS9vLyuWCO6XK7BeT08PIYVfpfLRUlJCbGxsf/Rd/gGo8XGH7edY8upBsYEufPa0jGDuygYDAb0ej0HDhxAqVSSl5dHa2srkZGRREdHEyGoRfrF76GrCuKvhzl/Bo3+ss7rcDrYUrGFVadW0WXp4trwa1kxbgU+yu/ffb6/vp7Wl1/BuGcPYl9fdA8+gPv119PvcPDqq69y9913U11dTVlZGbW1tUSGxeBmDaEqtweXy0Xi1EBS5oYgV1/4N7LbbOTv2cGxjzfgtFoIGZvKlF/cjkUgYuPGjSy67joCrJ6ce/8o/lIvhD5yPGaHIo8fUEZtbW0cPnyYM2fOIJFISE1NJTMzE7VajdF4juqaf9LauhuhUIq//00EB92BRRLIxqZOPmhop87Sj59UwnK9F8v1XvjIvr0+o8XG7rPNfJbfwImqDqr+Mv/HE9yr9bANhcPhoKioCIVCcdWS94fiG02r0+mGLHQ3m80YDIYrEl6n00l3dzdOpxMPD48h5/0uP8S93HG6kac+O4Pd6eK5hfHclBKIwWBgyZIl9PX1cdddd5Gamkp0dPSF12ezwLHXB4r1heKBgoXx91/UoH04jP1G3jnzDuuK1iEWirkr4S5ui7/te/f3hYE9fltf+it9p08jDQvDsWwZWU4Ht91+++CYvr4+CgoKyMvLQ+xS4GWPpq3chlQuJnnuKJKmBSKWXni/reZetrz5dxrzTyBwOombPJ3QidPYvncfN9xwA6OCR/Hw/Lu5PfY6/OReSALUaGaNQh7tcYEAnz17FpFIRHJyMhkZGbi7u2M2V1FT8zZNzZ/hctnR6WYQHHQnbtpUDnQaeb+hnYOdRiQCAQu8tdwRoCNVq7pA4TV296F3V/z0BdflclFRUYHVaiU+Pv4H0+q9vb2YTKZB83g4vhFenU73vWtsu91OZ2cnUqn0gvXgpfih7mVjdx+Pbi7gRGUn8VobaVTg467id7/7HY2NjZdeenRWDRQtlO8dyH+e9/JA/6vLpM5Yx99O/o19NfvwU/nxyLhHmBs6F6Hg0tEAl8uF8csvafvba/RXVmINCSFy5Z9QpaVdNK6yspK8vDxqy1rwssfS1yJCqZGSfE0I8RP1iCQXnut0Xh771ryLqL0ZgJCU8VSYbSxZfiteXl5ERUTywh1PM8sjDUenBWmQG24zg5FHDQhwe3s7R44c4cyZMwAkJCQwYcIEfH19sVpbqW9YR0PDBmy2LtzU8QQF3YGv73yqLE4+bOjgo+YODHYnCWoFdwTouN7XY9AbzY+V8tje3n5FyflXQlNTE93d3cTHx18y7LNnzx7mz5/P66+/jtlsZuLEicOO/fTTT4mPj2fBggXo9Xr6+vqGFcbnn3+e+++/n7feeou33nqLtLQ0goKCePXVV7njjjt4+OGHefDBB1EqBypoSkpKWLhwIQ888ABOp5OpU6fi5uZ22S+cH+peWozdSBsLsJp6KDC5US8J4BcLppP95eeYTCYmT548/MEKD0i6CfzHfL0h9z+g4/xANpb8+30NWpmWOSFzSPVLJb8ln42lGzlUd4gAt4BLN60TCJCFh+OxdCmn6hvwKC/HsGEjfYWFyCIjB5u2CwQCPD09SUhIIGFMDEZhPQ3dZSgE7pzP7aTkRBMSmQivQPVgiMxPrydsbArnWjrw1GpoOnMKQVsj5/JPEhQdyy233srie5aRftdM4tKTsJR20XuiCUtJJ0KlBM0oL2LjYhk9ejQul2uwE2VDQwOennpCQuYSFHgbcnkA3T15NDZ9RGPjx7iLnCwIHsevgoMIkkvJN5hZ39TJ+w1tNFht+ErF+MokP04Cxg+lJcxmMyUlJURFRV0yxulwOIiKimLfvn0EBgaSmprKxo0biRtiE2ej0cj8+fPp7+9n1apVJCUlDet4ysrK4tFHH+Wrr75CJpPR3t5Of38/er2e48ePI5FIuOmmm8jLy0P39UPU2tpKeXk5mzdvxs/PjyeffPKKvvPVvpc9PT0cOnSI0tJSMjMzSUtLo6zNzG8+KqC81USiysTZdSupKj13eRPa+uDIqwMmtEAIE38DmStAenm1qg6ng11Vu1h1ahWNvY2k+6fzyLhHiNdd2oH12muvsXzpUti5k/a338FpNKJZuADvFSuQBgZeNN5gMPDVV4coP9WApy0ac7sLjU5OyrxQotN9EX6t3Xp7e1m/fj1+nu4oe9op3L8Xl9NJ7KRp1NoF/P6Pf6K8vBydhxfmU60YD9Vjb+9D7KPAbWoQytE+CEQCzGYzubm5ZGdnYzabCQwMZOLEiURFRSEQQGfnEWrr3qez8whCoRx/v+sJCroDpTKM7J5e1jV28HlbNxani+ZpY366GtfpdFJWVoZWq8XH59JOjezsbAoLC1mxYgUikYju7m5KS0uZNOlic+6JJ57g1ltvJScnhxkzZiCXy9FqtUNW9+Tm5lJWVsby5csBUCqVuLkNhB2CgoJwd3fnjTfe4O677x58sYhEIpRKJadPn0alUpGZeeld4/+Vq3Uv+/v7OXDgAJ9//jmjRo3ixhtvJCwsDJFIhI+bnCUpQThcLnZX9OIITMbW2cCEpMtoUyuSDPR0TloChnrIfQdOfwRK3WWlTgoFQqI9o1kavRQPmQd7q/eyrngd57vPE+MZg7vs4vxns9nMsWPHmDV3LsrkZDyWLAGgZ8tndK5di72pGXl0FKLvmPsymYzo6GiiEkJoMBfRY21G5nCnLKuVipOtyNViPP1VSGVS4uPjOZGbh8xHz+J7fk1NVRW1+Tk4GmoI8vHm0117uemWm5EGqFGN90fio6C/xkBvdjPmglYEYiHKIHdCwkJJTU3Fzc2N8+fPk5eXNxhOCg5OIUC/GB/vuTgdfTS3fEZd/Qf0GE4RovLghuAk7gj0QS+TMFaj+vE17p92nKOo0XAl8w1Jf38/NpsNlUpFnF7DHxcO/0b+5JNP2LNnD++++y4Aa9euJTs7m1WrVl0wLj8/n+eff55PP/2UqVOn8vTTT5OWljbs+s5kMjFx4kTMZjMzZ85k6dKlFxXbjxo1it27dxMVFYXdbqe7uxtPT0/+/Oc/o1ar+e1vf3tF3/tqaNzq6mq2b99OUFAQM2fOHHzZDEVhfTe//PteDEI1i8cF8OyCuCvLra3JGoj9Np4aMJ3nvvC9e/t+F1O/iQ/OfcCaojX0O/q5IfIG7ht9H97Kb19eDQ0N7Ny586I6YltLCx1vvU33xx/jAtwXL0Z37z1I9Bd7vwfm2IXE7IG0W093swVPvYrU+aGEj/Wm39bPxo0bcXd3Z+HChWz44H1stecxVJRg6+9HExbJkkf+f/K+OyrKa3v7mRmGOiC9NxUpShEUe8TeW2LX2BJN4k3T3J9Xk2jMvVcTYyw3pqhRI2oUe8MCVhBFUFCQooDSpA7MMMP0ur8/JrxXpDgomNz1PWvNWvCW85458+5z9tnl2f9gyoeSnqB8JET99afQPJWAY2MK3mBPWPVxBduUwxhUb968ierqavB4PERGRqJ3796wsrKCWl2L8vIYlFcchkpVBTMzN3h4zIa7+0yYmTq+/hU3Mb8GNRJVW9prAr1eD6VSCUtLC7BYbDhZmzXLt9SA3NxcPH78mOGVevDgAcrLyzFu3LhGbc6ZMwfbt29Hp06dsGfPHgwdOrRVN5apqSmWLFmCsLAw8Pl8rFq1Co6OjujZsydzzQ8//ID3338fKpUKCoUCDg4OMDU1RUJCAkxNTV/riqtWqxEfH4+kpCSMGzcOgwYNajaE8Fm42JhjVh8fbPvhP3jCdsfxe+XwdbBEV2NLdth6AeHzAbvOwKNzQMovQG0B4BYGWLyYhM+UY4o+bn3wZrc3IdfKcbLgJA7nHYZELUGAfQAsTCxQUVEBoVCIkJCQRvdyeDzwoqLQ6c0p0CsUEJ04CeHvv0Nbw4d5YGCjJAYbGxuEh4dDphXiYfVtBIV3hYwP5Nwox+N0Pix4Zhg0PBJ30+6ioqICE6dMwZ38J+g1ZgL4/CpIigqQdekCasuewtbZFTx7B3CdLGEV6QIzXxto+XLIUqsgu1MJ0uhh6saDq6cbevfuDS8vL4hEIty7dw+pqamoq6uDg4M7vLyGw9NzAaytu0OpKEdF5RE8fboPnTt/9L+3x9Xr9cjNzQWPx4Ovr69R99y+fRtff/01w2D47bffAkCj/aVYLEbXrl3B4/FARKiuroa9vT3Onj2L3r17G/Wc48ePY9++fYiNjWWO+fr64tatW4zhrEFwv/7669e64jasst7e3hg9enSbWSXXrVuH6NNX4D/vX8itlGBciCu+mtADrp3aQBCglhn2vre2AXot0PsdYPAKgGf8RFRaX4qfM37GxaKLMDcxx+zA2eip6QlpjRQTJ05s9V5NRQVqd/4K0cmTYAGwnT4dDu+/B+5zxAh8Ph+nT5+GhYUlQn0G4mFiDQTlUlg7mCN0mDvuPrkKL28PREZGYu/evZg2bRoWzJmNcHcndOWZQ62QwzukJ/pMngbv4DBm4lcViyFJKIPykRAsLhuWEc7gDfIA18mw/6+pqUFqaioyMzOh0Wjg6+uLvn37IiAgAGw2G3J5EcrKD8G/25f/e+6giooK1NbWIiQkxGhLrFarhb+/P65evQoPD8OAHzp0CD16NFWvVSoV6urqMHPmTGzevBm9e/dGeXk55s+fj6tXrza6Ni8vj6G2AYDVq1dDJBI1UsF9fX1x/vx5+Pn5gYggEolga2uLDRs2vBbBJSJcu3YNmZmZGD9+PAICAtr0vAY0vEiff7karKCR2Ha1ACZsFj4bFYAF/X3alltaXwkkbgDuHTBUWBjwMdD/Q8Cs1cD6RigUFWJH5g7EFcfBlGWKwdaD8dXYr1rNAWa+S3k5anfshOjUKbDYbIMAv7MIXA8P5hq9Xo9bt24hJSUFEydOhJnaEekXi1FdVA9LGy6U1hUIGugKb18vnDx5Em+99RbCw8Oxe8cO+Fhyce/CGchEdXDp4ofISdPQrW///3JBV8sgvVkB2f1qQEcwD7SH9RueMO1sAxaLBYVCgXv37uHOnTsQi8WwtbVF3759ER4e3mBr+d8S3AYrckBAAKysrNp076y4WVEAACAASURBVIULF7Bs2TLodDq88847+PLLLwEAX331FXr37o1JkyZBp9OhpqYGdnZ2GD16NDZt2oTevXsjLS0NX375ZSPOYcDAdPHxxx9DJBLBxMQEfn5++PXXX+Ho6Iht27Zh48aNqKqqgpOTE8aPH4/du3ejtLQU/fr1g1QqBZvNBo/HQ25urtEhmm0ZS5VKhZMnT0KpVGLGjBltHrPnsX37dqxbtw7FxcWorNfgq7PZSMirQXc3G6x/M7jtRaNrC4Cr/wIenjUYr6L+AfRaBJgYv4d+XPcYX8V9hWx1Niy5lpgbNBfzu89HJ7MX179Vl5WhdscOiE+fAQB0Gj8eDksWN2KhLC8vx5EjRxAZGYmBAweiPF+E9IvFKM8TgdhadO1rB56vBvmPH0Kj0WDVqlUoKCiAXadOyE26hrTYk6irrICtqxt6T3gLPaKGw+QP74ROoob0dgVkKZXQy7XgevJg/YYnLIIdweKwoNPp8OjRI6SmpqK0tJQhths3btz/juASEXJyctqkIrcVdXV1YLPZ6NSp8Y/+008/wdvbu1nu5ZbQEFvM5XKbtKfRaCAUCmFlZQUrK6s2BY0YO5ZCoRCHDx+Gt7c3xo4d+8KILGOg1+sREBCABQsWYPXq1SAixGVX4Z+xuaiWKDGnjzf+MTqw7TzDZenAlbVAcRJg6wMM+RwImQ5wjEsSOXXqFLhuXFxTXsPlksvgcXmYHTgbb3d/2ygOLE1lJQR790J07DhIoQBvxHA4vvceLP5I05RIJDhy5AhsbW0xefJkcLlcVBWKcfPUI1QXyGBixgbLXgT/AU5Ytebv8PDwwIkTJ/4YMx0e303B3TPHUfWkAJadbBExdhJCR4yBhbVhstardZDf40N6sxzaWgU4tmbgDfSAVaQL2OaGMaioqEBKSgpycnKwZs2a/x3BFQgEePr0KcLCwjokOqohyMLJyald8nfFYjG0Wi3s7ZuprAeDb1kgEMDMzAw2NjZGfydjxrKwsBAnT55EVFQUIiMjX6r/LeHEiRNYsmQJnj59yqzgUpUWWy/nY++tIthbmWLF6ABM6+XVclGy5kAEPL4KXP0nUPUAsO9qCKEMmdYo/1ehUODJkycoKipCRUUFVCoVHj58CDs7O7i7u0NmKUMWLwsPFA9gxjHDVP+pWNB9Adx4L45f19bVoe7AAQh/Pwh9fT0s+/eD45IlsOzfHzqdDrGxsaipqcHMmTOZyTj52j2kxxWDI7GFngjuQVZYtek9HDy5p9HYExGe5jzAnTPHUfLgPky4pggaPBQRYybC0dvXcI2eoHwohCSpDOrierBMObDs5Qxef3dwnQ37YJlMBisrq/8NwW3gWnJ3d3+hz/Zl8KyK/CIrqzGQyWRMTHNrk4Ber4dQKDQkjxuZXfOisbx//z6uXr2KadOmdZhmEhERgaioKGzdurXR8ZwKMb46k4P0kjr0cLfBVxO6o2+X1tk2moAIeHQOuqvrwal9CL6+E3bl22PXbQFqBXVQKpXg8XiwtbWFra0tTE1NoVarmdxehUKBuro6yMxlsB5mjU79DQJmU26DweaDMXnQZPTp06dVDUQnlUF05AiE0dHQ1tTAPCQEDosXgzd8GFLu3EFKSgrmzJkD1z/Kqly+fBllRdXgKb3Bf6QG9GxUSQvx7sop8Onh0CShv/ZpCe5fjEXujWvQatTwDg5DxLjJ6BLem6n0oH4qgfR2BeSZNYCOYNa1E3j93WEe5AAWx7hZ/k8X3OrqalRXV7c7w0QDWlKRXwYNxi1jEw0akgyICHZ2di9c7Vsbyzt37iA5ORnz5s1jksI7AgkJCZg4cSIePHjQJMWQiBD7oBIbLjxEhViJcSGu+Hxs0AtZ/vV6PS5fvoyYmBhcv34dVZWVWNTPASv7ETpbKiAxd4c88mPYD3oHXLPGluyTJ0/Cz8+vyfshk8mQ+jAV+3P2477uPvRsPRRZCtScq0EXyy4YO3YsFi5cCH//5qsY6lUqiE+fgWDPHmhKS8H19IT9/Hmo6tEDF65fx+zZs+Hh4QG9Xo+YmBjY2dmBX1kLntoL+bdr0MnSEXaulug5whv+fV1g8hwtjUJSjwdX45ERfw5SoQC2rm4IHzMJwUOGw9TCMF46qRqytGrIUiqhE6nA6WQKt8/7/vUFV6fTITs7G15eXrC3f/F+pa1oTxW5YeW2tbVtE48yEaG+vh5KpRL29vatCnxLY9nArzx//nzY2XV8TdeZM2eitLSUyYF9Hgq1DruSCrE94Ql0RFg8qDP+NtSvEZuDXq/HqVOnsGfPHiQnJ8PU1BRRUVGYPn06xo8fb1DF9Xrg4Rkg4Tug5iHg6A8MWv7HHtgwTmfOnIGXlxciIiJa7K9QKcTBhwcR8zAGEo0Ebmo3SK5L8ODsAzg5OmHEiBH4+9//3uzYkk4HyZWrEO7bB8W9e2DzeKARI3DF1BSTlyyGl5cXlEoldu/ejV69euHmzZsoLipBVZ4cM4Z9gNqnUlhYcxEc5Ykeb7g3InUHAJ1Wi4I7ybh34QwqC/JgamGJ4KEjET56Amxd3f7oA0H5SADp7Uo4LQ756wtueXk5xGIxHBwcYG1t3STB/FXQ3iryq67cDZlFrQl+c2N55w/1bcGCBe2iNRgDqVQKPz8/rFixAn//+99bvK5SrMD3cXk4eb8cTtZm+HR4N4zsaoUftm7B/v37oVarMXXqVCxYsAD9+vVr+YF6PZB7yhAHXZ0NdPIyuJHC5+Fy4i1YWFi0mjjC9FstxdH8oziYexB8BR++1r4IUgQh+2g2Ei4nIDg4GB9//DHmzp3b7ESuePAAwuh9qI+PB4hQ4eMNv88+g8/IkaioqMDBgwfRvXt33L9/H9HR0Vi//hsMDBuBjCtPUZItAJvDQtcIZ4REecC1a9OMsMrHebh34SzyU25Cr9PBJzQcYSPHomuvvmD/V73/awuuRqNBVlYWunXrBlNTU0gkEuj1etjY2MDMzOyVBVgkEoHFYrXLy95eK3cDmwaPx2vW4vz8WKanpyMpKQkLFy5s93KgL0JsbCzmzJnTrMr8PO6X1mHNifvIrlZAK6qEfdkt/H3GMLw9d07bLN5EQMFlQw5w6W3A0hGlHuORZzMYIydOM7oZjU6D+JJ47M/Zj4fCh7A1s8VE74mouliFI78dgVarxeLFi7FmzZpmJ1FNZSWEv/8O4eHDgEwOTvfucH73HZyurERZVRU6deqEsrIy/P777yguLgaXy4WoWo7sxHI8vF0JtUILRy8eQoZ4olukC7jP5QVLhQJkXbuEB9fiIRXUgmdnj+BhoxEybBRsHJ2Me/GJqC2fJsjNzW3u8AtRXFxMOTk5zP96vZ4UCgVVV1dTTU0NKZVKo9u6ePEi+fv7U9euXenbb78ltVpNlZWVpNPpmGv27t1Ljo6OFBYWRmFhYbRr1y7mXElJCY0cOZICAwMpKCiIioqKmHNarZYqKysb9efRo0cUFRVFYWFhFBgYSEuWLCEiotraWhoyZAhZWVnRhx9+2KiPX3zxBXl6epKVlRXx+XwSCoWN+kfUeCzz8/Np8+bNJBAIjB6H9saMGTOoX79+rV7D5/Np3rx5ZGlpSUPmfEhR38aTz8pzNO6HG5SQxye9Xv9yDy++RXRgKtFaG1L/05no0ldE4vI2NaHX6+lu5V365OonFBIdQj3396RVN1bRD4d/oO7du5OzszNt3ry5ye/QAJ1USjnff093IyMpNyCQMnr1pnNz36ak06dp06ZN5OHhQdu3b290j1qppewbZRTzrxT66f2rtGt5It08lk8ivqxp+1otFdxNoRPffEWbZk6gzTMnEhkpi3+K4CqVSkpPTye5XN7knF6vJ5lMRlVVVVRbW0tqtbrVtrRaLXXp0oWePHlCKpWKQkND6datWySRSBpdt3fv3ibC1ICoqCi6dOkSERFJJBKSyf47yEKhkEQiUaPrR40aRadPn2b+f/DgARERSaVSSkpKou3btzd51u3bt6miooKsrKxIp9ORUCgkPp9PWq2WuaZhLPl8Pm3cuJFKS0tb/e4dDYlEQi4uLrRp06Ym51QqFS1btox4PB4NGTKEMjMziYhIq9PTyXtPaeCGq+Sz8hzN3JlM6SXCl+5DeXocPfkuiuhrW6J/2hMdX0xUfq/N7ZSKS+mblG8o8vdICo4OpnkX5tE/9v6DvHy9yNvbm2JiYpq9TygU0nfffkv7P/mEihcvodzAIMoODKLkKVNo54cfkr2dXaP3pQF6vZ7K8+so7tcs+mXpNfrpg6sU+2MGFWXWkE7bdKIQVVdRUsw+or+y4BYVFdHDhw9bvUav15NEIqHKykoSCASkUqmavS45OZlGjRrF/P/vf/+bvvjiiyazaEuCm5OTQwMHDmy2bblcTlVVVU3aCgkJobS0tBb73tokYWVlxXy/+vr6Rqt5bm4uyeVy2rZtG92/f7/F9l8nzp49SzwejwoLC5ljCQkJ5O3tTT169KDr1683e59Ko6PoW0XU69+XyGflOVr4WyrdewkBFgqFtGXLFiJhEdHFVUTrPYjW2hDtGUOUG0uk076wjWchVokpOjuaxp4YS8HRwTT48GCa/fNscujsQGPGjKGamhrmWpFIRFu3bqXU1FQ6ceIEnThxgpQlJZT60UeU2TOccgMC6ZJ/AJ165x3SPje5PwtpnZJSzz6h31Yk0U/vX6W9K29SypknJK5punCRkbLYvhynF1cBVVmtq+YgOEilBtaI2y3vf1gAeACsXIMhe2MN6urqYGJiAh6PB1NTU2Z/WF5ezjDRExHs7e2RmZnZ7F70xIkTuHHjBvz9/bF161Z4eXkhPz8ftra2eOutt1BUVIQRI0Zgw4YNYLFYEIvFzbpxli9fjmHDhmHAgAEYNWoUFi1a1OY9KIvFgrW1NbhcLurq6mBlZQUiwvHjx+Hv798oC+nPxMSJEzFu3DjMmTMHiYmJ+PDDDxETE4Nly5bhX//6V4t7flMTNhYM8MW0Xp6ITi7GrqRCvPlLMgb7O+HT4X7o5WOcF8HW1hYqlQpyM2dYjvnWEHl1/wCQsgM4Mhew8wX6LgXC5xoVD21jaoMFPRZgXvd5uF1xG4fzDuOG6gY81nqA/5SPkEkh+O6D7zB16lQcOHAA/fr1Q58+fRAeHo69e/fibmkp+m3dij3bt8Pz6VPwkm7C81YyCqKGwGb8ONhNnw7z5wKJrGzN0GdiF/Qa54uSBwLk3qpA+sVipF0ohmegHboPckeXMKcmFDutof3LALwAGo0GLBYLHCMZ81lggcfjwdnZGRYWFhCLxaitrYVCoTCoDM9ApVIZZqNm+KAmTpyI4uJiPHjwACNHjsSCBQsAGJIUkpKSsGnTJty9exeFhYWIjo6GRCKBubl5sxbpRYsW4eHDh5g+fToSEhLQr18/qFQvl85obm4OJycnqFQqSCQSaLVajBw58qXa6ijs2bMHjx8/hqurK1JSUpCSkoJ169YZZaizMjPBh0P9cHPlMKwaG4iccjGmbr+NubtTkFooeOH9LBYLbm5uqKioMBwwtzEkLXxyH5i+D+C5AHErgc2BBmL3auPYPNgsNgZ6DMSPw35E3FtxeDfkXfC68eD4viO+rfkWQ1YMgaOPI2MN53K5mDVrFu7cuYPCwkKMmzIFea6uuD15Et4R1UHWuzfqL1xE8azZKJw4EYLf9kIraPz9OBw2uoQ7YcJHYZi3fgD6TOwMMV+BS7tzEL3qFm4eKzCq7wBer6qs1+spMzOTqqqqjL6nuTbkcjnx+Xyqrq6ma9eu0ahRo0iv1xOfz6d//vOf9M0337TahlarJRsbGyIy7D0HDx7MnNu/fz998MEHVFlZ2Wj/2Rp69OjRSHU2RlV+HnK5nG7fvk3ff/89PXnyxKjnvi7ExMSQpaUlmZqa0okTJ16pLZlKQ7tuPKFe/75MPivP0YwdyZT4AiNWfHw83bhxo+VGn6YRnfyA6F9O/1WjHxwj0jS/vWoJaq2aLhReoCkxUyg4Oph67OlBi2MX0/XS66TRaYiIqLS0lDZu3EhisZhiYmIoOjqapkyZQhMmTCCtRELCI0eoaMZMyg0IpNwewfT0o4+o/to10ms0zT5Tr9NTaY6ALu7Mol/+do3ISFl8rSuuVCqFTqd7pdBGFosFCwsLODo6wsbGBkFBQXj06BEePHgAtVqNEydONJswUFlZyfx99uxZxu0SGRkJkUiEmpoaAMC1a9fQpUsXWFpaYvXq1Th16lSTtuLi4qDRaAAAVVVVEAgE8Hgmbayt0Ol0EIvFsLKywltvvYXTp0/j2rVr0Ov1L91me2HlypVYsmQJduzYgR9//JHRNl4WlqYmWPxGF9xcORRrJ3ZHsUCG+b/dwdgfknDyXhnU2qbf2d3d/b8rbnPw7AW8uR34+yNg1DpAUgmceBfY2t2QoSQqNapvXA4XgxwHYcDTAfi1/69weeqCW0W38PG1jzHy+EhsSd8CrY0WkZGROHfuHIYOHQo+n4+ePXsiMTER1fX1sJsxA75HDqPLuVjYz58P+b37KFv6NxQMHQr+5s1QFRU1eiaLzYJXd3uMeS8YCzcMNH4gjZVwaocVt6CggB4/fmz09cbi9OnT1KVLF/Lx8aE1a9YwxqQ1a9bQmTNniIho1apV1L17dwoNDaUhQ4Y0Mo5dunSJQkJCKDg4mObNm0clJSWk0+lo/PjxlJyc3OR5y5cvJ39/fwoNDaXQ0FA6cOAAc87Hx4fs7OzIysqKPDw8GJfXihUryMPDg1gsFnl4eNDatWuZexos1w1jKZFIaP/+/fTbb7+RWCxu9/EyBmq1msaPH0+urq509+5d5vgHH3xA3t7e7dYvpUZLR++W0sgtCeSz8hz1XX+FdiQ8JrHiv96Euro62rhxY4tumybQ6YgKLhMdmm2wRq/tRLT/TaKsE0Salt2Mer2eDh06RNeuXWOOfff9d+TUz4nG7xpPYfvCKDg6mN4+/zZ9/OvHlJyWTKdPn6bffvuNIiMjac2aNU3bVKup/soVKl36N8rt3oNyAwKpaNZsEhw8SBphs8Y6o2TxtQVgqNVqZGVlITg4uF0imZ5vu66uDvb29pBKpVCpVLC0tISVlVWbU94auJB5PB5Gjx7dJE+3vfFscEdDXV7AMKE2JHuPGTOmQ3mln4darcbIkSOZEhzP0uk00M4SERITE9utWiIRITG/BruSCnHrsQA8MxPMivTCokGd4WFrge3bt2PChAltLyguemowZt0/aCC4s7ADQmcC4W8Dro3pcEpKSnD27Fn87W9/a/TeXLx4ETNnzsT/rf0/eI32wqnHp1AkLgKHOBjkOgisRyzoC/U4fPAwqqqqWgxr1dbUQHzmDMRnzkBV8BgwMQFv4EDYTJwI62FDwTbQ/P61IqcqKipQV1fXLDPFq6Kurg5cLpdhW9RqtZBKpUzBLh6PZ1SRsIYJoL3S/16E58MymxvL8vJynD59Gk5OThg3btwrleM0Bmq1GkOHDoVEIsHNmzebJQGor69HaGgoxowZgx07drR7H7LLxdiVVIhzDypBRBgR5IJgcyEC7VgY9bKGO70OKEoE7v8OPIwFdGoDN1b4PCB4KmBpjxMnTsDDw6PZ8MzExERMmjQJq1atwqpVq5BZk4mdSTuRLk2HAgqY6c0gTZfi/cHvY9n0Za1OskQEVX4+6mNjIT53HtqqKrAsLWE9Yjg8Nm7869CzEhnY5j09PdvMh/QiNOwPbW1tGWFjs9kwNzeHpaUltFotxGIxNBoNU6O1pUFtcMu0t0bQEsRiMUxNTZnc1+bG0sbGBhEREaiursa5c+dgY2MDJyenDll9NRoNRo0aBbFYjOTk5BYZIs3MzDBmzBh8+umnsLW1bfe8YGcbc4wNdsO0Xp4wNWHjcm41rpVqcPOpEqamZujixDO2SPR/wWID9p2B7pMNdYBtPIHKTMNqfPsXaJ+m4XFhEQZNmAsTs6bvqK+vL9544w0sXboU5ubmeHPEmxgbMBa6OzoM7DIQZdVlkHpKcV93H2efnIVQKYSjhWOzyf4sFgsmjo6wGjAA9vPnw7JvX7AIkFy9CsclS/46ZHH19fUoLCzsEN+kVCqFRqNpNWtGr9dDLpdDLpcDAKysrJqUudRoNBAIBHBxcXktKmnD85ydnZl+vGgsy8rKcObMmQ5bfadPn46srCykpqYaFeN99uxZzJkzBxcuXGi9GsIrQqnR4UJWJb47eRvVWktYcDmYEu6Ot/v5oIe7oZ8KhYKp3VtZWcmQHWi1Wuh0OpiYmMDExASmpqZwcnJiyoU6aSvByT4G1b0YmKmFgJkNEDTRkKHUeXCTQt9Xr17F5MmT8dtvv2HGjBkoLS3FyZMnERgYiNT7qdh5dSdGfToK9+vuQ096+Nn6YZTPKIz0GYmutl1bfbf0ajXYpqZ/HVW5pKQEKpWqxdzIlwURgc/nt1oF7/nr1Wo1ZDIZsw+2tLQ0BImLROBwOK3yELcnGhgynhU+Y8ZSq9UiISEBGRkZ7br3XbduHX744Qfcu3evTfvIDRs2YMOGDbhy5YrRjJkvi/j4eJTJWMjXu+JMRjmUWj08LfXw5wrgTXz4uDkxdXzt7OzA5XJhYmICNpvNCLFKpQKfz0dlZSUqKiogFovh7OyMWn41JofZI1D9AKyHsYBaYvARB081fDx6MYTv0dHR+OSTT3Dz5k2EhoYiJiYGLi4uSE1NxbFjx7BkyRJMXzgd8cXxuFxyGfeq74FA8LXxxUifkRjlOwoBdgEt/W5/DcElImRmZsLX17fdM1yUSiUkEgkcHR3b/PLqdDrIZDLI5XKYmJhAo9HAycmpQwtmN0ClUkEkEsHZ2blRv9uSafXs6jt27NhXmnBiY2Mxe/bsl145v/zyS2zfvh0JCQkdRogAGCa73bt3w9/fH1mPHkPYyR8Z9RYoFmlgasLG6B6umN7LEwP9HI2m1lGpVCgsLMSpU6fg4OAApVKJPuEhiLCuhVneGSA/HtBrDKp10ESDqu3VF58uX46TJ08ybsgDBw7AyckJFy5cQFVVFRITE5ln1CpqcbXkKi6XXsbdqrvQkx6ePE+M9B2Jkd4j0cOxx7NF0P4agiuXy5GXl4eePXu2uwoqEAhgYWHBFN16GRARxGIxlEolALy0Nbotz6utrYWVlVWTfrc1RVKr1SIxMRHp6ekYNGgQ+vbt2+Z+5+fno0+fPvj222+xdOnSNt37LD777DPs378fSUlJ7V5LSqPRICcnB3fv3gWfz4e/vz/GjRvHhInmVNTjWNpTnM6ogFihgXsnc0zt5YmpEZ5MTeDWkJeXh7t37+Ltt99GeXk50tLSmLpVfUID4C7JBOvhWQNvlk4F8FxBQRPw9z03kFLBxs3k2zh79iy0Wi0ePnyIH3/8EYWFhc1uZYRKIa6XXsflkstIrUyFlrRwtnDGG55vYIjXEAzxGvLXENyKigqIRKJmi3C9CvR6Paqrq+Hi4oJLly7h008/hU6nw+LFi7Fq1aom1y9fvhzXr18HYJhM+Hw+RCIR7t+/jyVLlkAul4PD4eCzzz7DmDFjYGZmBisrq0Zx0Q3Iy8vD+++/D5FIBJVKhTfeeAO//vorBAIBpk2bhrt372LhwoWNOJi//PJL7N+/H3V1dSgsLGzWwPSyuc0CgQAXL16EWCzGuHHjjK5qr9frERYWht69e2Pv3r1tfu7z+PDDD3Hs2DEkJia2m/AWFBTg3LlzcHZ2RmRkJHQ6HZKTk/Huu+82uVap0eHKw2ocSyvDjYIaEAGhnp0wMdQd40Pd4G7bvGH0+vXr0Ov1GD58OHNMLpcz9XednJwwYcIEWHMJKLgE5J4x5A1rFahVsFBiFoDAScuw6+pjaNjm+P3337F27Vq89dZbrX43sUqMhKcJSCxLRHJFMmQaGbIWZP018nGzsrKosrKy1WteBnK5nGpra5tN63s2z7c5bNu2jRYtWsT07/bt24Y0rPJycnV1JYFAQFKplKqrq6m6upokEkkj5//LpvWVl5eTpaUlKRSKZvv1srnNRIbggdzcXNq6dSsdO3bMqACJ1atXk7e3d4uZVy+DpUuXkoODA5Pm97JQKBR0+vRp+s9//tMoM0mn09F//vMfKi4ubvX+CpGcfk18QhN/TCKflefIZ+U5mrb9Fu1LLiJ+feMgjIMHD7b4zmi1Wrp27Rpt3LiRMjIy/huaqZISZZ+i6l8mkHClNdFaG9J9bU9l30bSzwt60kdvT27T91Vr1XSr/BbRXyGtT6VSUVpamtExv22BUCgkqVTaJK3vm2++eWGscv/+/Zn8W6FQ2Ch3NzQ0lPLz84nIIAxKpZKEQiFVVFRQXV0dqVSql07rU6lUZGlp2WJc7qsIbgPUajVdvXqVvvvuO7p582aLY5+VlUVWVlaUkJDwys98HsuXLyc7O7tGEVdtQX5+Pm3ZsoXOnTvXLKFCRkYG7d692+gk/aIaKf14NZ9GbUkkn5XnqPOqczR3VwoduF1MVWIF/ec//6Ha2tpW26ioqKDt27fToUOHqL6+vtG5D95bTAuiupLs1HISfO1riJdea0P6n/oSXV5LVHijLXHTrz+t77s73+GR8BHzv0ajgVqthlXNy7PsB9oHYmWflY2OERFUKhVsbGwapfUBgKenJ1JTU1tsr6SkBEVFRRg2bBiICEqlkgkyuHPnDtRqNbp27Qrgj+LKZmYwMzODTqeDXC6HSCTCO++8g2HDhqF///4YPXq00Wl9MpkMLBarQ91NXC4Xw4YNQ1hYGOLi4pCRkYFRo0bBz8+PeW5DEbTZs2c3qUDYHtiyZQssLCwwYsQInD171miDl0ajwYULF1BcXIwpU6a0qPKHhIQgOTkZeXl5CAwMfGG7vo5W+GhYN3w0rBvyqiQ496ACsZkVWH06G6tPZ8PZxAPau1WYGG6Kbs68Zn8fNzc3LFmyBDdu3MCOHTswduxYBAcHAwB++PFn+Pv7Y/1dCwQF/Rv6mnxUJu7F+0O5sE3+VlFwvAAAIABJREFUEbi5FeBaAb4Dga7DDB9H/xeWJW0NHWpC1Wg0HWKlbeDafRkD0uHDhzFt2jRwOBwolUpwuVxwOBxUVlZi3rx52LdvX7NRUw2uIh6Ph7/97W8YM2YMLl68iEuXLmH79u3IyMho1Uim0+kYA9jrgIODA+bMmYP8/HzEx8fj1q1bGDFiBDw9PfHzzz9DKBTi559/7rDnr1+/HtbW1hg3bhy+//77Fxq+lEolYmJiYGNjgw8++KDVIBg2m43hw4fjypUr8Pf3b1OUW4CrNQJcA/DZSH885ktxKbca+67cx48JxfgxoRg+DpYYGeSCEd1d0MvHDtxn6iZxOBymyuORI0cglUrRr18/mJqaYt++fRg/fjzi4+ORJhAgTuwHfmkENq8/DxTfBJ5cAwqvG/bIAGDtbhDgLkMMAm3TtDxoa2hXqXp2ZdTr9bh//36HxCYrlUqG5MvDwwNPnz5lzpWVlbWaqXP48GHmhW1op76+HuPHj8f69etbZyOEYRU2NTVFYGAgAgICsHTpUoSHhyMpKQm9e/eGhYVFs1k9crm83aPGXgQWi4WAgAB069YNGRkZOHbsGJydnbFu3TqsX7/eKN/3q2DVqlXo3r075s2bh8zMTPzyyy/NCplMJsPvv/8OLy8vjB071iiNpFu3brh16xbS09NfKnKLxWKhm4s1urlYQ5J6HLPf+QBJhWJczq3G/tsl2H2zCDwzE/Tv6oDB3Rwx2N8JPg4GzdHNzQ2LFi3CgQMHoFAoMGTIEERFRaFfv37YvHkzevXqBT8/P4NLyNwGCBxn+ACGTKUn1w2CnHceyPjdcNyus0GAJxs3mXZYQK5SqQSHw2l3oW1QbxsENzIyEgUFBSgqKoJarcbhw4dbrAP06NEj1NXVoX///kw7bDYbb775JubPn49p0xozCX7++eetpvWxWCyIRCKIRCKEhITAwsKCSRpQqVRQKpXMnkQul7+S2+pVwGazERERgY8++ghJSUmwtLSEo6MjxGJxhz970qRJSE1NRVxcHKKiopo8U6FQ4MCBA/Dz8zNaaAGD4E2YMAEJCQkQiUSv1Eculwt7Cw7e7ueDfe/0QfqaEdjxdgQm9XTHw8p6rDmTg6jvEzB443WsPp2F+JwqsMwssWjRIjx69AiJiYmQSqWYNGkS4uLiYG1tDS8vL/D5fMhkssYPs/UGei0AZuwDVjwB3ksERn8DOHcHHp4zus8dpirLZLIOUZO1Wi0AMG2bmJjgp59+wujRo5lqfQ2JDM9W6wMMq+2sWbPAYrGgVqvBZrNx8uRJ3LhxAwKBANHR0QAMkTE9e/ZEVlZWs5NAg/upYfL4/vvv4f5HJfTu3bujvr4earUa58+fR0xMDEJCQvDvf/8bp0+fhlwuh6enJxYvXow2xom/MhQKBY4cOYJdu3bB2toaO3bsQHh4OAYNGtShk0pgYCAePHiACRMmIDQ0FHFxcQgKCoJarcahQ4fg6+uLYcOGtXnv7+TkhP79++Ps2bOYN2/eS9sOzM3NIZPJmCAWa3MuxgS7YUywG4gIxQI5buTXIKmgBifvleP3lFKwWUB3dxuEe/RH9u07uHbrDgb3jcDYsWNx4cIFDBo0CA4ODsjMzGy5wDmbA7j3NHz6f2jglzYSHebHLS4uhlarhd8zZQ3bAzKZDBqN5pWjsOrr6wGg1RKY7ZHWp9VqUVdXB51OBzabDQsLC1hYWDQ7qbVnreHmsGLFCly/fh1paWkADJXqEhMTkZubi4iICPTr169Ds4/0ej0++ugjHDx4ENHR0VCpVLCwsMCkSZNeWuj0ej327NmD8PDwlw65PHHiBLp27WpULL1aq0d6SR1SCgW4UyREeokQap1BLLw7cRHuaY0Dm9fi/WkjkXDhFGbPmoVPPvmkLd35cwMwsrOz4ezs3O6FvEQiEbhc7ivXg62pqWHI1zsS9Ec8tb29PYgICoUCCoUCHA4H5ubmMDc3h4mJCVgsVocKrl6vh4eHB7Zu3YpZs2Y1OicSiZCcnMzkSw8YMKBDS538+uuv+OyzzzBx4kTs37/fqDpMraGmpgbR0dFYuHDhCzPVmkNSUhIqKyvh4+OD6upqqNVq6HQ6Zqvn7OwMd3d3uLq6NuqrTCbDT7/sQED/kXhYq0HcvceoRSfI1DoAAEergLVagIWThiLMyxZhnrawt3qhXcEowe0QVVmv10OlUnXIj69Wq19ZrdPpdNBqtR1unAEaq/YNhi0bGxuo1WoolUoIhUIABnWtIZOlI8Itjx49CgCYMWNGk3O2trYYN24cBg8ejNTUVOzatQt+fn4YNGhQh1RQnDVrFvLy8nDw4EG88cYbiImJMTraqzk4OTlh5MiROHz4MBYvXmyUEbCB2OHevXuorq4Gm82GpaUl3N3dYW5uDg6HA51OB4VCgaqqKmRmZqKmpgYuLi6IiIhASEgILly4gIieoRg5KBRTAPSyFKBOXA+1hRM+W78Nfn2Hg6+3wA9XC9CwPnrZWyDU0xY93G0Q6GqNAFcbuHcyb7PG0SErrlwuR35+frun8TWEObq6ur6SL1SpVEIqlcLR0bEde9c8GkqrtJQmR0TQarVQKpV4+PAhrl+/jq5duyIgIAB+fn7tZonu378/Bg0ahO+///6F1yqVSqSlpSE1NRXu7u4YNGhQ25knWgARISYmBu7u7ujduzfeffddXLhwAWvXrsVnn332SgQG8fHx4PP5LdYGAgxbpFu3biErKwve3t6IjIyEq6srfvjhB6xatarV5+t0OhQWFiItLQ3FxcVgsVh4//33mQVKo9Fg586dGDZsGKZOnYqQkBDk5ubi2o1beFKnxYMyETLLRMh8Kka5SMG0a21uggAXawS6WWPdlD+x6FdNTQ2qq6sZB3V7Qa1WQywWv5Q69CxeJEztibao5A8fPmS4nvPz81FUVAR3d3f4+/sjICDgpSsaFhQUIDQ0FKWlpW0aO41Gg4yMDCQnJ8PGxgaRkZEICgp6JY0gIyMDKSkpWLJkCdNObGwslixZAl9f31daffV6PQ4dOgRHR0eMGTOm0TkiQkZGBq5cuYKePXuiT58+jX7/3bt3Y/DgwUannh46dAgajQZ8Ph+jRo1CaGgoWCwWnj59iqNHj0Kr1eLXX3+FnZ0dtm3b1sRAJVZokF8twaMqCfKq6pFXZfg76+vRf56qLJPJ2lSK0lhoNJpX3g81tPM6fKovo5LzeDxEREQgIiICGo0GhYWFyMvLw61bt2BpackIsYeHh9Gr0+7du9GnT582T3hcLheRkZGIiIhgMmji4+MRHh6OXr16tXnik0gkuHz5MubNm9dI+CdOnIjHjx/j3XffRWho6Euvvmw2G1OnTsWePXtw69YtDBxoYE2sr69HbGwspFIp5s2bxxStfha9e/fG3bt3jRJchUKB0tJSLFu2DHV1dTh9+jRyc3MZTqyQkBAIBAJUVFTA3t4e6enpTQS3kwUXkb72iPT972TclkW0Q6hrysrKYG9v/8oGpOchl8vB5XJfeW9aX18PHo/X4bxSDUYOY8fh+bHkcDhwdHREQEAA+vfvD3d3dwiFQty+fRuJiYmora0FEcHa2rpV19uKFSswc+ZM9O/f/6W+B5vNhpOTE3r27Ilu3brh6dOnOH/+PMrLy2FhYQE7Ozujti5JSUlMO8/D1NQU06dPR0hICD7//HOcOHECw4cPb7OdhMvlIjAwEBcvXgRgoNnZt28f/P398eabb7boRXBwcMDly5cRFBT0wkm9tLQUQqEQvXv3hrW1NSIiIlBTU4P4+Hh069YNgYGBuHz5MgQCAdRqNUQiURODYHP4YwyNoq7pkCSD9PT0FjNgXgXV1dXNZrI8X62vOZSUlNCQIUOoZ8+eFBQUROfOnSMiQ1D+/PnzKTg4mAIDA1+YoEBEFBsbSz179qTQ0FAKCgqiHTt2EBFRYmIihYeHE4fDoWPHjlF9fT1TMGz06NHUqVMnGj9+fIvttiXJQCgUUkpKCu3fv5+++eYb2rlzJ8XFxVFeXl6jsRcIBGRmZkZ8Pt/oto1BQwLJ9u3badu2bZScnNxsEbcGaDQa2rhx4wuD+YkM9LQzZswgHo9Hn376KUml0jb3r66ujrZs2ULffPON0XWY4uPjmeST1pCUlERxcXFNjqenp9PmzZuptraWrl69ylDZhoeHt6Xrrz/JADDsM/R6fYdETOl0uiaqsk6nw4cffojLly/D09MTkZGRmDRpUpP833Xr1mHGjBlYtGgR0tPTMXfuXIwfPx7Hjh2DSqVCVlYW5HI5unfvjtmzZ8PX17fZfmg0Grz33nu4c+cOPD09oVKpUFxcDADw9vZGdHQ0Nm3axFzbsGVYsWIF5HI5du7c2S7jYWdnh759+6Jv377Q6XQoLy9HcXExUlJScOLECTg4OMDX1xfJycnw8/N7ZbvA8zA1NUWvXr0QERGBsrIy3L17F4mJiejcuTNCQkLg7+/fSAvIycmBm5sbHBwcXtg2j8fDkSNHkJCQgM8++wxeXl5YtmwZPv/8c6O3SiwWC3q9nqnNREQv1Ap69+6NPXv2oH///q36s+vr65v9HhEREWCxWDhw4ACmT58OZ2dnVFVVtbvmCXTAHreBTbG9M2AaAhieb/fOnTvw8/NDly5dABhcDWfOnGkiuCwWC/X19dBoNJDL5UykE4vFgkwmg1arhUKhYNw1LaGhvk/DD2dmZoaAgAAAYIS9QQXXaDRMW8OHD0dCQsKrDUIL4HA48Pb2hre3NwYPHgytVouKigoUFRUhLi4OPj4+2LVrF3x9feHr6wtvb+92m1hZLBa8vLzg5eXFWMbT0tIQGxuLoKAghIaGwsfHB2lpacye01gMGTIE9+7dw4kTJ7Bq1Srs3LkTq1evxvvvv9/qNoeIcObMGWZ/fvjwYdTW1mLy5MmtbrPs7e0RHh6OCxcuYPr06S2+w3q9vsXnh4eHQywWIz4+HnZ2dnBxcWFCX9tTJtpVcKu++Qby7ByYKRUosWqfCByzoEC4fvFFi4NlbFrf119/jVGjRmHbtm2Qy+W4cuUKAGDatGk4c+YM3NzcIJfLsXXr1latt/b29pg0aRJ8fHwwfPhwTJgwAbNnz27StwbNo6MocFqDiYkJI8hlZWX48ssvERoaiuLiYiQnJzPJBg2C7OXl1S6CbG5ujvDwcISHh6O+vh5ZWVmIi4tjmDhf1oo/depUvPnmm9i5cyfWrVuHLVu2YMOGDZg6dWqz16elpUGtVmPQoEFgs9lYuHAhzp07h71792LmzJmtRt0NGTIEv/76K3Jychp5RYgIJSUlyM/PR0FBAbKzs5GUlAQzMzO4urrCw8MDwcHB4PF4cHNzQ1JSEtzd3dG5c2c8evSIoRBuL7S/qkwElnHBH23CqwYmxMTEYOHChVi4cCGysrIwb948ZGdn486dO+BwOAxh+xtvvIERI0YwK3hz2L17N7KysnDlyhVs2rQJly9fZuKcG6DVasHlcl9b9YHmUF9fDz6fj6FDh4LH48HHxwdRUVHQarUoKytDcXExbt68iYqKCri4uMDb2xvu7u5wd3eHra3tK/XdxsYGAwcOxMCBA3H06FHIZDIcPnyY0VD8/f3h6elp9DPYbDaWLl2KxYsX47vvvsOSJUuwfv16rF+/HmPHjmWuE4lESEhIwMKFC5nJ1MTEBJMnT0ZKSgr27NmDKVOmMDnXz6Ph2piYGPj6+oLH4yE3NxfXr18Hi8VCjx49EBwcDD6fj4kTJzK0sCUlJUhMTISnpyfKy8sxefJkxMfHw9PTE5mZmaioqPjrCq7rF1+guroaAoEAPh3AMdXcimtsWt+ePXsQFxcHvV6PAQMGQKlUora2FocOHcKYMWPA5XLh7OyMgQMHIi0trVXBBQzJ3CEhIZg3bx46d+7cRHD1ev1rYYxsDYmJiXB1dW2yXzMxMWFWW8Cg0peVlaG0tBRZWVm4dOkS1Go1Q3X6qsJcUVGBefPmwd7eHuXl5cjLy8O5c+cgk8nQrVs3BAQEoEuXLkZ5C7hcLlavXo3ly5djzZo1mDt3LmxtbbFw4UIsW7YMiYmJiIyMbLKnZ7FY6N+/P1xcXHDmzBn4+flh1KhRzWoaHh4eCA8Px/Hjx2FhYYGamhqGy4vFYqGmpgYHDx6EtbU1bGxs4OLigp49e2LUqFHYs2cPtFotk5Elk8mgVCpRWVnZrrxr7e4P6ajk+ZZWXGPT+ry9vXH16lXodDrk5+dDqVTCyckJ3t7euHbtGgCD/zklJYVhVRg+fDjKy8sbtSOVShvtVTMyMuDj49PkeUT0WsqYtIabN28y++/WwOVy0blzZ0RFRWHWrFlYvnw5PvzwQ/Tv3x+mpqbIyspCdHQ0Nm7ciP379+Py5cvIycmBUCh8oe9RLpdDqVTC3t4eLBYLnp6eGD58OJYuXYp3330XLi4uuHPnDjZv3oxDhw4hPT0dEonkhX22srLCli1bUF1djZUrV+LkyZNwd3fH999/36oBq0uXLli6dCmICNu3b8eTJ0+ava5fv36oqqpCVVUVlixZgi5dujCTlqOjI7hcbqMFAzC4/+RyOebOnYsrV66Ay+WCy+UyNod2hbHmZzLSHfT48eNG5F7thbq6uhbdAufPn6du3bpRly5daN26dczxZ6v15eTk0IABAygoKIjCwsIoPj6eiAyuh2nTplH37t0pKCiINm7cSEQGUjJvb+8mLo76+noaO3Ys+fv7U1hYGA0YMIDhVrpz5w55eHiQpaUl2dnZUWBgIHPfoEGDyNHRkczNzcnDw6NZd0J7cE49i/Hjx9Py5cvbrT2JREL5+fmUkJBAMTExtGXLFtqwYQPt27ePLl26RNnZ2SQQCBpxQRUUFFB0dPQL21YoFJSVlUXHjx+nDRs20E8//USxsbGUnZ3diBOsNezbt49GjBhBVlZWFBYWRjt27CC1Wt3i9QUFBbRlyxY6fvw4CQQC5rher6fo6Gg6f/487d+/n44ePdqEuyslJYWOHTvW6FhGRgZzrMEdtXPnTjIxMaHvvvvOqO9ARspiu4c8Pnr0CDY2NozVtr0gEAhgZWX1ShFZDUW2mouceR7Z2dn47bffsGXLlpd6lkAggKWlZZsitNo7O6hPnz6YM2cOli1b1m5tPg+pVMpUBWgo/6FWq+Hq6goHBweIxWKYmJhgxIgRsLW1NcpO0RCTXlxcjOLiYpSWloLH4zHqva+vbxMXCxHhp59+wpQpU9CpUyds27YNv/32G0QiEcaNG4dZs2Zh7NixTZ6vVquRkpKClJQU9OjRA1FRUcjJyUFOTg4WLlwIvV6P48ePQ6vVYurUqczvqVQq8csvv+Ctt96Ch4cHcnJykJqaCrlcDm9vbwQFBYHL5eLIkSP417/+hQULFmDXrl3GDOmfE6uclZUFDw+Pl46rbQl8Ph+2travFDXVXrHOxqCmpgadOnVqU3/bW3C7dOmCLVu2YMqUKe3WpjGQSqWMrSMlJQVcLhdqtRoSiQS2trZwcHBo8uHxmidpAwyCXFVVheLiYpSUlKCkpAQ2Njbw9PRk9uAWFhbYvXs3VqxY0aid+Ph4REdHIyEhATKZDP369cObb76JOXPmNLJyy+VyJCUlISMjAxqNBnPnzmVipvV6PS5duoTc3FyMHz+e2X7k5eUhNjaWSZm0s7NDRUUFIiIikJmZifLyclhZWeGLL75AVFQU4uLijBm+PydWuaNcINQOe8bW/G/tjY5Kz2sL6urqXmhk6wjweDzweDx07doVycnJmDFjBhwcHKDVaiEUCiEQCCAQCFBWVobMzEwIBALGN+7g4AB7e3s4ODjA0dER9vb2MDc3ZwxkAwYMYAS5vLwcFRUVSE9PR21tLTgcDmJjYxlhdnFxwejRozF69GgABjfRgQMHsG3bNixfvhw9evTAuHHjsHDhQnTt2hWjR4+GmZkZsrOzcezYMSagp2vXrhgzZgwCAwNx9uxZ5ObmYsyYMVAqlVCr1XBycsL06dOh1+vxww8/MBbz6OhohthQo9G06xi3u+C2h4C11O6rulbaow1j8Tonieag0+kgkUhadHu8DjTUKW7QvkxMTFokV1AoFIxQ19bWIj8/H7dv34ZAIICpqSmsra0Zls2Gv62trZl44ZSUFMjlcri5uTHCLBAIYG9vz0wADg4OWLFiBTZs2AChUIgDBw4gNjYWmzZtgqOjI4KCgpjc5Llz56K4uBjXr1/HhQsXEBQUhICAALz33nu4du0afv75Z6hUKsydOxeZmZk4cOAA3nrrLQQFBeH06dOora2FWq2Gl5cXk9vbnugQf8Wf6btsDa9TcP9siMVisNnsDgm3MxYN2VzGjLmFhQU8PDyauPKICFKpFPX19ZBKpZBIJJBIJKisrIREImGOSaVSmJmZobq6GjweD+7u7ujatSsT+iiTyVBTU4P6+noIBAJwOBw4OTlhxYoV4PF4yM/PR3Z2NlJSUrB69Wq89957cHV1RUBAALp37w6tVou8vDwoFAp069YNrq6uqK2txZEjR9CtWze4ublh165dcHJyQllZGcLCwpCfn89Yo5tj/nwV/H+14r4uNNgN/sz+Nqhofya0Wu0ruwZZLBazuraG6OhoREZGws7OrpGAPyvYEokEMpkMHA4HbDYb9fX1kEgkjKXW19eXIWlQq9UQCASorKxEcnIyjh49yhRre3bl5/F4uHPnDvN/TU0NeDwesrKywOFw8Pjx4w4hwe8QwaU/EgLaE3q9Hjqdrk05i8+j4f727tvzeNkx0Ov1RvkwjYFQKASLxWq39l4GdXV10Gg0r6UPDVUiGoTczc2t2ev0ej3UajXzkUqlUCgUkMvlqKmpwaNHj9CtWzfIZDK4uLigc+fOUCqV0Gq1TIpeXV0damtrUVdXh6dPnyI3NxcKhQJKpRIajabZd7S9/bgdoiq/inC1hNZmrMWLF+P8+fNwdnZGZmZmi336xz/+gfj4ePB4POzZswcRERHM+fr6eoSEhGDy5MnYtm1bq31JSUnB8uXLoVaroVKpMH36dKxduxaPHj3Cu+++i/v37+Mf//hHI/pVY/rYnjAxMWl39ayt4HA4r60PbDabEUqpVNrkI5PJmJVXqVRCpVIxGgGHw2HeL5VKhby8PMZGwOfzUV1djcrKSlRVVUEsFoPD4TArrJWVFXx9fWFtbQ1LS0tYW1vDwsICHA7HkH5nYoIDBw60O3dXuwtug5rc3moam80Gm81utt1Fixbh448/xvz581t87oULF/DkyROkpaUhPz8fH330UaNkhK+//hqDBw8Gi8V6Yd/feecdHD16FGFhYdDpdMjLy2P2TD/++CNOnToFFovVKJvJmD6y2exXKlD9LFQqFZNk/2ehoUxMe/RBpVK1qgLX1dXh7NmzIKJGBiwLCwuYmprCxMQEFhYWsLGxQX19Perq6sBisRhLdsPvePfuXYjFYhQWFqK+vp7xyY4ePRrOzs5Qq9Vwd3cHEUGtVkOj0cDS0hJeXl7Izc0Fl8uFTCZDYGAgCgoKMG7cOBw6dKjdown/Z1bc1jB48GAmJ7YlnDlzBnPnzgVgCGcTiUSorKyEm5sb0tPTUV1djTFjxjCcw62Bz+czqhiHw2FiUBsspufPn2+y0hjTx/ZEp06dGBK6jqARMgYmJiaM6mjMHk+pVDKuIoFA0Mh1pNfrG1mTG1xOLi4usLa2RlZWFszMzODv///YO++wprLt739T6EUgEHoTKaKIInYUGbso9oJtFNTR0Xe83nH6deqdohcdZ8Z6R8exY1cUO82GUkQRKUGa9JIAIUASkrPfP7w5l0gLkKDe+X2ex0cl5+yzczjr7L3XXmt93ehAkNLSUgiFQtqjbGZmBmdnZ3A4HJiamuLevXs4ceIEoqOjUV5eDkdHR1haWuKdd95BWFgY7OzskJKSAh6PB0dHR7i5ucHV1RVZWVmIjo5GU1MTFi5ciLKyMiQlJWHOnDnIysrC8+fPkZ6eDrlcjri4OFAU9Wavce+c4iE/U4hs3QywWepp2tzeEKPnv6wD1J0XQnFxMezs7Og2FFkclpaW+PDDD3H06FE61a8jNm7cCHd3d4wdOxaTJ0/Gu+++28I4FJ7E1+Ug0tLSgqGhIfLy8jRaZL2jPii0mRTBDooC8c0NVPFHKpUq7eW6urpi+PDh9F5u84dfEbhfUlKC7Oxs5Ofno6GhASUlJbC2toarqyvGjBkDc3NzehYoEokQHh6Oc+fO4f79+9DW1saYMWMQFhaGmTNnQltbG9HR0SgoKEB6ejoeP34MX19fTJkyBXp6eqiursb58+fR1NSEkJAQPHv2DBEREWCz2QgNDYWuri5Onz6N0NBQiEQinD9/HhKJBHK5/M02XOA/YR8aGHGZTGa3R3LFOqg5u3fvxtSpU2FnZ6dyO19++SUWL16MGzdu4Pjx4zhx4kSLJHkGg/HagzBMTEyQm5vb44ZLCKG3XfT19REZGQlCCPh8Pm3ECgO1sbGBl5cXOBwOjIyM2nzAxWIxXrx4QYdB8vl8WFpa0kbq7e2NiIgIhISEKJ1XXFyMAwcOIDIyEk+ePIGDgwMmTJiAL7/8UkngjaIoJCcnIyUlBQ0NDZg9ezY8PT3BYDBACEFSUhKio6MxatQojBgxAkwmE3369MH9+/fBZDJx//59GBkZwczMDPX19Xj8+DFqa2thZmZGV+JQJ2o13NHz3WCeIYepqalK8cCdQbGJ3dUbYGtri+LiYnpaq0j/i4+Px507d7B7926IRCJIpVIYGhrip59+arc9FxcXrF27FqtWrYKFhQX4fL5SORNN7N11Fg6Ho/HpOSEENTU1SrHKJSUldKE7FosFmUyGYcOG0VNUVV5mEolEyVCrqqpga2sLR0dHTJ48GTY2NkrrRsVLvbKyEhwOB1euXMH27dsRHx+PAQMGYPr06Th9+jQcHBxa9D8jIwPR0dEwNjbGwoULkZ6ejvT0dPTr1w+EENy8eRPPnz/HihUr6HD0HDFXAAAgAElEQVRZmUyGiIgIBAUFwc7ODklJSYiPj4dEIsGVK1fg6emJuXPn4syZM5DL5WqP3Vf7iKulpaURHdjWRsvOEBQUhJ07dyIgIADx8fHo1asXrK2tcezYMfqYP//8E0lJSbTRLlu2DOvXr8fQoUOV2oqMjMTUqVPBYDCQnZ0NFovVIkmayWRqfNupIywsLPDixQu1tdeWkWppacHGxgbW1tYYNmwYbGxs6BzgzMxMJCcnd5heSAhBWVkZXWGisrISNjY2cHJywsSJE2Fra9uug4fBYMDNzQ2fffYZbt68ifr6eixcuBCHDh1qs5h7VVUVIiIi0NTUhClTptDBEpaWlti3bx8SEhJQUVGBsrIyrFixQilh5NmzZzAyMkK/fv3AYDAwfvx4mJubIy8vD7NmzYJYLMahQ4dgbW0NiqJUrtesKmo3XB0dHTQ2NnZ8YCdpL2wsODgYsbGxqKqqgp2dHb755huEhoZi7969AIA1a9Zg6tSpuHLlCkaNGgUjIyMcPHiww2umpqa2+qY8cuQINm7cCH19fbDZbBw7dgwsFgtlZWXw9fWFUCgEk8nE3r17kZGRAWNj4zb7qEnc3d2Rnp7epXO7YqStYWNjg0uXLrXqoJLJZMjPz0dWVhZ4PB5YLBbc3d0xbtw42Nvbq+yJffjwIbZs2UJXnPj888+xcuXKNkd2iqLw4MED3L17F/7+/hg6dKhS39hsNoKDg7Fv3z7o6elhzZo1LXwYSUlJ8PPzUzrP1tYW0dHRqK2txalTp2BjY4PU1FQQQtrcV+4qajdcbW1tjWy4tzeCnThxotWfr1mzhv43g8HArl278NVXX8HU1LTVKbeitA3wcl/X1dW11bVveHh4q9ezsrJCUVERgP+qCiqKxbXVR00ycuRIREZGqnRsXV0dCgsLaUN91UiHDx8Oa2vrTqv5KdatirVtQ0MDsrOzkZWVhdzcXHC5XLi5uWHJkiUwNzdX2YlDURQOHz6Mbdu2IT8/H9OmTUN8fDzS09Ph4uLSptHy+XxcvHgRTCYTK1eubDOLLScnB0ZGRmCxWDh79iwCAwPpWZUiCMPV1VXpHHNzc+jo6GDPnj10EQLg5aDzVkyVNTFFZLFYkEqlamlHlbWysbExTp8+3a3raGLJ0BnGjRuHZcuWQSqVtkgvFIlE9PoxPz8f9fX1dM2prhppayiqQEZHR6Ourg4lJSVwdnaGu7s7AgMDuxRLfenSJXzyySfg8/n44IMP8Le//Y1ux8LCAseOHYOHh0eL/WMej4eLFy9izJgxLUbZ5ggEAsTExCAkJASmpqa4e/cu9u3bBycnJ/Tv3x8NDQ20kkRTUxOdO/zo0SMwGAyw2Wy4uLjgxIkTyM3NhY6Ozps/4mppaWnEKaOuNWN318qqoqWl1ak9TE1gYWEBU1NT3L9/H76+vigoKEBeXh4KCgogEong6OgIJycn+Pr6wtLSUq39lMvleP78OZ4+fYqcnBwwGAwEBQUhODi4yw7G+Ph4/O1vf6MDaDZv3tzihWRtbQ0fHx9ERkZiwYIFtFf43r17SEhIQHBwcLs7CIQQREREwM/PjxaF8/f3x/Dhw5GamorU1FTk5eVBJpPhxx9/hFwuh4WFBWxtbemk+oSEBHptfe3aNTotUZ28NYarrvA5hZdT0yj2DuVy+WspGldfX4/8/HzY29tj9+7dGDx4MBwcHODk5ITBgwfD0tJS7ckghBAUFRUhNTUV6enp4HA4GDBgAKZMmYKDBw/C0NCwS0abkZGBDz74APHx8Xj33Xdx8+bNdmtfjxkzBr///juePn2Kvn37IiIiAgKBACtXrmz3PABITEwERVFKW0XAS9/NkCFDMGTIEERGRsLMzAw+Pj7Q0tJqcR8VaYgVFRXIz8+Hvr6+SoXgO4PGDFfdI41ipOxuu1paWmhoaFBbv9qCwWDQo25PGG5DQ4PS1FcoFMLR0REjRoxAfHw8wsPDNZYfLBKJ8OjRIzx+/BgsFgteXl5YuXKlku7PkCFDkJiY2GphvbYoLi7G3/72N1y5cgVBQUHg8XgqjVxsNhuzZs3C4cOHce/ePXC5XCxfvrzDl4aiEGBISEiH90ohev0qubm5uHXrFubPn4/Dhw+jqKgIffr0efMDMBROAalUqlYZEkWssqJecVfpySms4lqaUAaUyWR0ge78/HzU1tbSI+rMmTNhZWUFJpOJUaNGwc3NDQ0NDWpZsyoghODFixdITExETk4OvW9pbW3d6n319vZGbGwsRCJRh/2gKAr//Oc/sXXrVowePRopKSmd3k4xMTGBgYEBBAIBpkyZotIzk5KSAg8Pjw51kw0MDFp1wObl5eHs2bOYP38+iouLUVVVBQ6HoxEBdY0MBdra2nRis7rb7a7UpuLF0hPhiOoe3RsaGvD8+XNkZWUhJycHFhYWcHNzQ1BQEKytrVsdJRSKBgq19u4ikUiQmpqKxMREEELg6+uLadOmdRgPraurC09PTyQnJ8Pf37/N4zIzMxEcHEx7f8eNG9elPh47dgxOTk7w8PDA6dOnMWXKlHb1mimKQlJSkkqqetbW1khMTKT/TwjB06dPcf36dcybNw/29va4ePEiUlNTYW5urvZgJEADdZWBl2+k2tpatberGMFeJSQkBFwut91fzLFjxzBgwAAMGDAAQUFBKiUTXL58GYMGDYK3tzc8PT1pwa7bt2/Dx8cHbDYbZ86cUTpn8uTJMDExwbRp0+gXTXdCNfl8Pu7fv48///wTv/76KzIyMtCnTx/8v//3/xAaGorRo0d3qJU7YcIEnDt3rst9AIDy8nJERkZix44dyM/Px5QpU/D+++9j2LBhKicxjBgxAgkJCa0+GxRF4dtvv4Wvry8GDhwIHo/XJaOVy+UIDw+HhYUFpk6dChcXFyxevBhxcXE4ffo06uvrWz0vOzsbxsbGKnl/bWxsUFxcTJfmOXXqFO7evYulS5fCycmJTqxPSkqCtrY2Ro8e3env0REaGXENDQ1RWVmp9nbbispavnw51q9fj2XLlrV5rrOzM+Li4mBqaoqzZ89i3bp17RpvZ1T5mtNclU9RaaGpqUnl6RJFUSgqKqKDEsRiMdzc3DBy5Eg4Ozt3abaxYsUKBAQEoL6+vlPbL4QQWqaksrISPj4+WLt2bYcOnrYwNzfHsGHDcOnSJSxevJieUqtjlFX0NzIyEjo6Opg2bRrdvo2NDd577z3ExMRgz549GDduHLy8vJR8D4mJifD19VXpOopE/cjISGRnZ2PQoEGYM2cO2Gw2+Hw+bt++DWNjYxgbG4PBYLRwdKkDjRiuvr6+2qvaAW2vT1VJmWuuCD5ixIgWCgWv0hlVvua8qsqnq6sLsVjcruFSFAWJRIKGhgZs27YNRkZGcHd3x6xZs9pcM3YGX19fODo64rfffsOnn37a4fGEEGRlZeHu3bsQi8Xw8/ODl5eXWpYWo0aNQmZmJlJSUjBw4EB6LTtv3jzs2bOnWymIiYmJKCoqQmhoaIvfDZvNxoQJE9C3b1/ExsYiKioKAwcOhK+vLwwMDFBQUIAFCxZ0eI3q6mokJSXRFSaXLl1K18miKIreJ/7ggw8wZMgQ5ObmKhVsUBdqNdyYP/+NioJcEPLSQ5d5wRDd9f9wHXsjYPlqAOpzUB09ehTvvPNOuw4qVVX5OkJXVxc1NTUtRim5XA6xWEyX+NTW1gaLxcKqVavUKg6l4L333sOvv/7aruHK5XKkpaXh3r17YLPZ8PPzg4eHh1q90SwWCzNmzMDu3bsREhICgUDQrVFWQV5eHm7fvo3Q0NB2fSt2dnZYsmQJ+Hw+kpKS8O9//5tOtE9OToaVlRV0dXXpQJ3GxkaUlZXRYZ8NDQ3w9vbGqlWrEBERgcLCQtpwExISwGAwYGxsjLS0NAwcOBD5+fka+X1qqMojwGQw/mNg6r1Edx1UMTExOHjwIM6dO9fhC0AVVb6OUGyPyWQyMBgMiMViNDQ0QC6XQ0dHB/r6+jA1NQWTyaSLvmuC9957D19++SWioqJaGElTUxNSUlJw//59mJqaYtKkSUpaOeomIyMDO3fuxMCBAxEfH99tr3tdXR3Onj2LOXPmKG1BtQeHw8GkSZMwfvx4xMTEoLCwEHw+H+np6ZBKpXRKpo6ODrhcLpydnTFq1Cg64wkAZsyYgQMHDsDJyQlaWlq4ffs2Vq5ciQ0bNmDkyJGoqqqii6qrG7ValWJkBF7uZwFQe0HuthxUqpCamoqVK1fi6tWrtOBwRy+AjlT5OkJRd0ggEEAul0NXVxdGRkbQ0dHp0YgqbW1tzJ49Gz/++CNtuDKZDElJSbh79y7s7Owwd+7cTuUld4WdO3fi008/xRdffAFzc3MkJiZizJgxXW6PEILLly/Dx8enS0bCYrFQX18PLy8vlde4CjgcDgIDA3Hs2DHo6OjA398fbDYbFy9exIcffoibN28iMDCw031SBY1FBhgYGKCqqkrt7Wpra6OmpqbT57148QKzZ8/GkSNH4ObmBolEAqFQCCMjI4wbNw6HDx9WqukrEomQlJSEsWPHAmhbla81CCGgKArV1dUQi8W0E0QT0Uqd4dtvv4W7uzvu378PAwMDxMTEgMvlYsmSJRrZsmgORVFYvXo1zp49i5MnTyIwMBB1dXU4ePAg9PT0MGTIkC61m5qaipqaGsyfP7/LfSstLe200Spwc3NDTEwMamtroa2tjU8++QQeHh5gsVhobGxskRKqNlRVByMqqvUpqKurIykpKa1+1h0oiiKlpaWkqamJ/tnChQuJlZUVYbPZxNbWluzfv58QQsiePXvInj17CCGEhIaGEhMTE+Lt7U28vb3J4MGDSWlpKZFKpd1S5TMzMyOenp6EoigikUjIiBEjiJmZGdHV1SU2NjYkMjKy1T63hrrV+l6FoiiyZMkS0r9/f3LgwAGSn5+v0espEAgEZPjw4cTZ2ZnweLwWn23fvr1Lz4pQKCRbt24lJSUl3epfWFgYqa2t7fR5TU1N5OjRo+TcuXOkpKSEhIWFEX19ffLrr7+S7777jjg5ORGBQNDZZlWyRY2NuHp6epDL5Wopit0cBoNBe2oVETiqpPXt378f+/fvV/q8uroaKSkpSipsCoyMjHDlypVW2x0yZAidvieTydDY2IjKykoQQnDt2jXo6em1mILr6+ujvr5eSWiqJ3nx4gVu3boFHx8fREREgMvldir8sKukpaXR+6mpqaktoqZMTU2xZMkSHD16FFKptFMj1LVr1zB48OBuZ9505RmVSCQIDw+HoaEhgoKCwGKxkJiYCB8fH9TW1qKkpARGRkYqr7k7i8bmbSwWC3p6eigvL1d72wrDVUc7Li4unZbSlMvlqK+vR1VVFaqqqiCXy2FiYgIulwtjY+NW1836+vpobGzs8XI2FRUVOHHiBM6dOwcfHx9s2LAB69atw8cff6zxvpw/fx6jRo3CzJkzERUV1Waoo4WFBZYvX44HDx4gNjZWpYCVoqIiFBYWqiW4obM6TyKRCIcPHwaHw8GsWbPAYrGQkZGBS5cu4ZtvvoGuri6eP3+OYcOGdbtvbaHRBZeZmVmX1qMdofAsd/fB09HRgVQqVakdQggtTFVRUQGJREKXB1XIf7bnbGKz2Ror69MaEokE169fx6FDh+Dk5IT169dj4MCBYDKZ+PLLL1FXV4d//vOfGrv+kSNHsHTpUmzbtg2//vprh4ZhamqKFStWIDc3F4cOHYJAIGjzWEIIoqKi4O/vr5YibGw2W6WMMfKf0Ma9e/fCzc0NgYGBdPLLokWLMHfuXFRXV0NXVxdlZWWYM2dOt/vWFho1XBMTE7owtzphMpnQ0dHpthEwmUxoa2u3246ion15eTnq6+uhq6sLS0vLVkuGdoSBgUGbIXfqghCC1NRU7Nq1C2KxGO+//z5GjBihNBXU1dXFwYMHsXXrVmRmZqq9D//+97+xdu1aHDx4sFPx0UZGRli+fDnc3d2xf/9+PHz4sNVnJycnB3V1dRg0aJBa+qvKToUitPHOnTtYtGgR/P396d/9Dz/8gMrKSoSFhSE7OxtFRUWorKykHZuaQKP5Zrq6unQYWEcZF51FYbj6+vrdakeR6dG8HfKfKvX19fWQSCTQ09MDh8Pp9ttdR0cHtbW1rVakUAfl5eW4cuUKmpqaMH/+/Ha3dsaPH4+5c+ciODgYycnJavN2//bbb/j8889x/PhxBAUFdfp8JpOJESNGwM3NDRcvXkR6ejpmzJhBl5ghhCA6OhrvvPOO2vpsZmaGysrKVtejhBCkpaXh+vXrSqGNCng8Hn766SecO3cOz549g4WFBRISEuDj46PRQvQa35swNTXVyLaQrq6uWkZzHR0dWnOmuRxjbW0tdHR06KmwOqZkDAYDhoaGEAqFap2FiMViXLt2DYcPH0b//v2xcuVKlfZj9+zZg6qqKnzzzTdq6ceOHTvw+eef48yZM10y2uZwOBwsX74cHh4e2L9/P65fvw4+n48XL16gqalJrbWira2tUVpaqvQziqLA4/Fw9OhRepQdN26cktFSFIUFCxZgzpw58PPzQ0JCAurq6lBQUNCt7SlV0HiGt6mpKfh8vtrbZbFY9JqxO5E3Ci91TU0NHc3Uq1evDtesXUXhXZZIJN1+IyvWXDdv3oSrqyvef//9TiUR6Onp4ejRowgMDMSIESMwefLkLvdl37592Lx5M86ePYuJEyd2uZ3mKEbfvn37IikpCX/88QddhpWoMZ/axsYGT58+BfCyckhKSgqSk5Ohr6+PIUOGoH///q16nVetWgWhUIi9e/fizp07cHBwwPPnz1FcXIypU6eqpW9tofER18DAABRFQSQSqb1tfX19NDQ0qJTWd/HiRQwYMIAOLL9z5w4aGhpQVVWF7OxszJs3DwEBAfDz80NpaWm7D0VWVhbGjh2LgQMHom/fvli9+mXEGJ/PR0BAAAwNDbF+/Xqlc7744gvY29vT2jcKXdauIhQKceLECdy/fx8LFixAUFBQlwqv+fv744cffkBwcDBycnK61Jc///wTH374IY4fP642o22OiYkJxo8fj5UrV0IqlaK8vBy//PILbt++jZKSkm6XIjIxMcGLFy9w/vx57Ny5E3w+H3PnzsWqVaswcODAVo32t99+w7lz53Dt2jVIpVI8fvyYTs6wtbWlC6drCkYnH54WB2dkZHQ4bcnNzQUhBC4uLp3sXgedIQTl5eVIT0+HiYkJli1bhrS0tFaPFYlEMDAwgFwuR0JCApYtW4YHDx7AwMAAU6ZMwQcffEA/dEwms92186RJk/D+++9jxowZAICnT5/Cy8uLflunpaUhLS0NO3fupM958OABHB0d4erqirq6OlRVVcHQ0FBptqDKvSSE4MmTJ7h58yaGDBmC0aNHqyVrJyQkBHFxcUhNTe3UC+DUqVMICQnBoUOHNOpFBYC4uDjU1dVh2rRpKC0txaNHj+gYY3Nzc1hbW9PlZBUleNlsNi0Ho9C4LS8vV6oX3djYCJlMhhEjRmDUqFEdzuBiYmJoZYQpU6bg4sWL0NbWRkpKCiIiIjBr1ix88sknXf2aKk0jeqSKmampqVor6itgMBjQ19fH4MGDUV1d3eZx5D/xwtXV1bTTic1mw9zcHOnp6ZDJZAgMDERtbS0sLCw6nIKVlpYqrSG9vLwAvJxd+Pn54fnz5y3OaZ6Tqcggqamp6ZRnWigU4vLlyxAKhVi6dKlawxR///13jBo1ClOnTkV0dLRKL4OUlBSEhoZi165dGjdaxQtr3rx5AF6uSxVxwIoSqSUlJSguLkZSUhJqa2shk8no5A7g5baPtrY2LCwsYG1tjX79+mHChAkwNTXFzZs3QQjp0Gh5PB7mzp2LzZs3Y8qUKaisrASPx8PgwYPBZrORk5ODmTNnavReAGo23JpLOZCWtLbdQWAkEqH03iOwOqnip21jAJPpbY/U+vr6qKqqanUvVrH3KhKJwGAwcOvWLXzzzTeoqKigC4XzeDyYmJggODgY2dnZGD9+PMLCwtp9cDdu3Ih33nkHI0eOxMSJE7FixYpOZ/Xo6OiAzWajvr6+wxpMr46yCxYsUHvZHRaLhevXr2Po0KGYNm0aIiMj2/XaVlVVITAwEGvWrMG7776r1r60RmVlJSiKavVlpaWlBTs7u1YdcooQwY480L6+vjhw4ADGjh3bpiMyLy8PY8aMwbx58/DJJ5+AEILr16/TBfnS09NhamraodyKOuihiPeXFQ+lku4XNH+V1gIbFGvqiooKNDQ0oFevXjA3N0dwcDAyMzNx4cIFbN68GcDLcLc7d+4gLCwM8fHxyM7O7lCeZMWKFcjIyMC8efMQGxuL4cOHQyKRdLrvvXr1gkgkancPUbGWffDgAZYuXYqxY8dqrFZWr169cO/ePfB4PEyfPr3NOtZyuRyTJ0/GgAEDsGXLFo305VWysrLg5ubWaYeUQmC8I8zMzGBtbd2mZEtubi78/PwwefJkWtpGoexHURS0tbXx8OFDfPzxx53qX5dRNaiZdDLJ4FUaGxtJcnIykclkKh3fGRobG0lSUhLp168fEQqFpLS0lPD5fCKRSNo8x9nZmVRWVpL4+HgyZswYQsjLIPxdu3aR1atXd+r6/fr1I0lJSfT/Dx48SNatW9fqsQYGBkr/F4lEpKKiglAU1eJepqenk61bt5KYmBiN3Le2qKioIH369CHjxo1r9R4uXryYuLm5tUjM0CT79+8nz58/1+g1MjMzyb///W9CUZTSz9PT0wmXyyUhISFELpcTQgipqakhW7duJQUFBWTLli1k06ZNxMjIiIhEou52QyVb7LEcM11dXejr69PB+epEIXuiWNMohJGbBzk8f/6c9uI+evQIEokEHA4HQ4YMQU1NDSorK8FgMPDgwQM4OTmBEILPPvsM58+fb3G9a9eu0aNkWVkZ+Hy+UkpgZ9DX1weDwVCKqJLJZLhy5Qpu3LiB4OBgjY6yrWFhYYGHDx+ivLwcvr6+KCsroz8LCwvDlStX6GSKnkCxt67ppAiFFtCjR4/on12+fBkjRozAvHnzcODAAVqnOSIiAsOGDUNWVhbMzc1ph2dXPPtdQlULJ90ccQl5mcL1+PHjzr+D2qCpqYlUV1eTGTNmEC6X225a308//UQ8PT2Jt7c3GT58OLlz5w7dzo0bN4iXlxfp378/effdd0lJSQmpq6sjgYGB5P79+y2uu3HjRuLm5kYGDBhABgwYQI4cOUJ/5ujoSExNTYmBgQGxtbUlz549I4QQ8tFHHxFbW1vCYDCIra0t+eqrr5S+R2lpKXn69Cmpqqoie/fuJSdPniSNjY1qu1ddQSKRkKCgIMLlckl8fDy5du0aMTAwIDdv3uzRfmRkZJCjR4/2yLXKy8vJ1q1bSU1NDfn++++JgYEB2blzp9IxSUlJZN++faS6upps2bKF/PTTT8TExIRkZmaqowsq2WKPGi5FUSQlJYXw+fwufSMFUqmUCAQCUlpaSmpra4lMJiMURZGysjIiFou71bai/dLSUjJhwoRut6UqIpGIPHjwgGzdupUkJCS0mK69TjZv3kz09fWJgYEB+fnnn3v8+lFRUSQqKqrHrhcdHU0CAgIIh8MhsbGxSp/x+XyydetWUlZWRiIiIsiff/5JFi1aREaMGKGuy79ZU2XgpaOAy+W2CC9TFYlEAj6fDz6fDzabTafRsVgsMBgMtQQ2AC+n3jo6Oi1qJmsKiqLo6pX29vbw9fV9bUJhrfHVV1+Bw+GgqakJMTEx7W69aYLS0lK1i2a1RXx8PFauXInCwkIcPnxYqXi7IgfX39+fTuWrqKhAXFwcNm3a1CP9U9DjdVQsLCwgFotV9sISQiAWi1FVVUXve3K5XBgZGbXwFurp6dGlTruLkZERGhoaNFJmtjlNTU2oqqoCIQRGRkaorq5GQkKCRq/ZWT766CPo6OggKysLtbW1cHV1bVMjWN0QQlBSUqJxw21qasL69esxfvx4zJ49G3fv3kVGRgadPUUIwblz5+gXa2RkJKytrdHQ0IDGxsZux2Z3lh43XC0tLfTq1QuFhYXtHtfcYIVCIfT19cHlcmFgYNCme18R2KCOIH42mw1DQ0PU1NSoPS1RQWNjI/h8PgwNDelKjwsXLsSdO3foYnuvm6SkJOzbtw9Hjx6Fk5MTYmNj8d133+G9997D9OnTO6xP3V0UGj2vat2qk1u3bsHDwwO3bt3C3bt38a9//QuWlpYIDg7GpUuX8Pz5c8TExEAsFmPq1KlITk6GWCxGSUkJzp07h/Xr1/e4IuNrqVxmY2MDoVDY5mgmlUrB5/MhFAphaGgICwsL2vvaETo6OmAymWhsbOx2Pw0MDFp4fNUBIQR1dXUQCoUwMzNTCq80NTXF3Llzce7cuXaTyXsCuVyOJUuWYOXKlUrVHNauXUtHnLm5uWH16tUamz7X1tbC1NRUI0uH5ORkjB49GrNnz8b8+fPx7NkzpRxfGxsbLFy4EGfOnEFycjLmz58PoVCImJgYWFhYQFdXFzk5OS3i0nuC12K4+vr6MDY2Rl5entLPm5qaIBAIIBAIoKenBwsLC+jp6XXql6bOtS6DwYCJiUmHQRKdoXn1R3Nz81bzcp2cnODv74/w8HC1vIC6ykcffQS5XN6q1IqtrS2uXr2K6OhopKWlwcnJCZ999pnaX3J1dXVqH215PB6mTZuGMWPGwM3NDfn5+fjxxx9b3XJjMBj083f37l1cuHABPj4+eP78OXbv3o1NmzZpPKGgNV5brVA7OzuIRCKIxWLIZDLU1NSAz+dDW1ubnhJ39S3bPJywu6hzyiyTyVBVVQUmk6lUWLs1hgwZAldXVxw5cqTHyt00p/kUub1c5GHDhuH+/fsIDw/HlStXYGVlheDgYKSmpqqlH6rIcqoCRVEIDw/HyJEj4e3tDS0tLTx79gwHDhygk/RfpbS0FOHh4Zg1axbWrVuHgoICOh6aoiiUl5f3uFNKwWszXBYCFPoAACAASURBVF1dXZiZmSE/P59+mLlcLgwNDTtd2aC1tL5XwwljY2PRq1cvDBw4EAMHDsS3334LACgsLERAQAA8PT3Rr18//PLLLy3af3XKXF5ejmnTptEqfs1zL5ur9TVnx44dcHV1haWlJZqamlR6KY0fPx52dnY4duyYWhxuqtLWFLk9pkyZQsdTi8VijBgxAoMHD8auXbu6pdzY3RGXx+Phww8/hK2tLTZu3IhRo0YhPz8f58+fpzWgWqOiogLHjx9HYGAgXYe7pqYGXl5eKCgowJ9//olvvvlGrZrDnULVfSOihn3cV5FIJOTx48ddqmnbnLi4OJKcnEz69eun9PO6ujo6nDAmJoYEBga2OLekpIQkJycTQl7W6XV1daWDJpqjCJKQSqVk9erVZMeOHfRnT548of9969YtEhERoXQtkUhEbty4QTIzM4mjoyOprKxs9Xu0di8piiKXLl0i+/fv77GAjI0bN5I+ffoQqVTa5TYEAgH5xz/+Qdzd3YmOjg4ZPHgw2bx5M8nJyelUOxcvXlQKJ+0IuVxObt26RUJCQoiTkxPR09Mjo0ePJseOHaPDFTuitLSUhIWFkadPnxJCCJHJZOSPP/4g0dHRJCwsjHz99dekT58+7YbUdoM3bx/3VbS1tcHhcLqd8jdmzJhWpzuqOJesra1pNTUjIyP07du3VU8pm81Gr169IBAIUFJSopSJMmDAAPrf48aNo0cIQghqa2tRX1+PgICALmWNMBgMBAYGwsbGBocPH9b4mvfZs2cqTZE7wtTUFN999x0yMzORk5ODuXPnIioqCv369YOlpSWtaBceHt6uJKtcLm/TY0tRFDIyMrBr1y4sW7YMgwYNQq9evbBgwQIIBAJ8//33EAgEuH37NhYtWqTSTK64uBhHjx5VEsK+evUqdHR0IBAI4OnpiV27duHrr7/WSN0wVVGrD/vq1atKca2qQAhBfX094uPjW/0FWVlZYcqUKV3qj8K5VFVVBZlMhvj4eHh7e8PGxgZhYWHo16+f0vH5+flISUlpc3qop6eHpqYmLF26FKGhodi5cyfGjx+PFStWtLrPqCiHY25u3q3CZgwGA5MnT8atW7fwxx9/YOHChbT8p7rZsGEDZs6cqdaawLa2tvj000/x6aefQiqV4v79+4iNjUVycjIiIyOxbNkysFgsmJiYwMzMDBYWFuBwONDW1qZrf+no6KCxsREVFRWoqqpCdXU1amtr6drYXl5eCA0NRUBAAPr27dul+52VlYWIiAgEBQXRL9nExEQUFBRgzJgxiI2NRWFhIZ0G+jrp2c2nVmAwGNDW1oZEItHIXpjCudS7d2/k5+fTCgUzZ85EdnY2fZxIJMKcOXOwY8eOdoWbFVpDCnW7a9euYdCgQUhLS6O9i82Lz5mZmamlGiGDwaCTvg8ePIhZs2apvaLI3bt38eDBg1YLAagLbW1tjB07Vql0KUVRKC4uRm5uLvLz81FQUICKigpIpVIIhUJoa2vDxMQE1tbWGDNmDBwcHODs7AwXFxe1KAUQQnD37l0kJiZi0aJFdMJIfn4+4uLiEBwcjPDwcAQFBWHIkCE4ceLEa9WAojvdiT8tUIfejVwuJ48fPybFxcVdbiMvL6/FGlcBRVGksrKS1NXV0T9rvtaUSqVk4sSJZNu2bSr3t7y8nE7hCgwMJGfOnCGEvFwPnT9/nkycOLHVeOPOrnFbIz8/n4SFhZH4+Hi1xjQPGTKkzXTE18W5c+fUmpjyKlKplJw+fZr8/vvvRCgU0j8XCATkX//6F8nJySFnz54lV69eJTNnziTDhw/XdBz5m7/GVcBkMuHs7IyysjKNeE8VurR1dXVoampCQkICKIoCh8MBIQShoaHo27cv/v73vyudt3PnTqW6UQpiY2Ohq6tL147KycmBg4MDZDIZ+Hw+tLS0oKWlpbF4Y0dHR4SGhuLx48eIiIjodrE0AIiIiEB2djZ++OEHNfRQfbBYLLV8v9aora3FwYMHwWKxsHz5cto3IZVKER4ejtGjR0MsFqO4uBiEENy4cQNHjhx5M+LIVbVwosERV0FeXh5JS0vr9HmqqPX99ttvpG/fvsTT05MMGzaM3Lt3jxBCyJ07dwgA4uXlRSv5RUZGEkIIWbduHTl+/HiL623dupX07duX9O/fn7i7u5MtW7bQGUUjRowg5ubmRFdXl9ja2pJr164RQgj55ZdfiK2tLWGxWMTa2pqEhoa2aLez91IikZCTJ0+Sffv2kfLy8k6d2xy5XE7c3d3J5s2bu9yGprh16xaJi4tTe7vp6ekkLCyM3Lt3T2kElclk5Pjx4+TChQukrKyMbN26leTl5REul9tTmVFvXlpfR8hkMpKSktKtKXNH1NTUkKqqKpWmO4GBgR26/Ovr60lpaSkpLS3tdkWIrtxLiqJIYmIi2bJlC7l9+7bKWx7NOXDgALG0tNTU9ka3ePjwIbl8+bLa2quvrydnzpwhv/76KykoKFD6TC6Xk1OnTpHjx48ToVBIfvnlF/LkyRMyc+ZM4uvr26V72wXenqmyAhaLhd69e2tsygyAdjwJhcIOj718+XKHLn8Wi0VHVKlD7aCzMBgM+Pr6YvXq1cjPz8eBAwdQUVGh8vlyuRxfffUVvvjii9e6vdEWhoaGaqvJnZGRgT179sDQ0BBr1qyBg4MD/RlFUbhw4QIkEglmz56Nc+fOoW/fvigvL8eNGzfeDIdUM167V/lVjI2NYWZmhufPn7fYrlEHDAYDpqamqKyshJaWVre0hyQSCaqrq2FmZkavbzkcTo9nigAvi3ovWbIEycnJ+PPPPzF8+HCMHDmyw77861//gpaWFtatW9dDPe0cirjz7iASiXD9+nWUlJRg3rx5SgYLvDTaiIgI1NXVYdGiRbh58ya0tLQwevRoODo64vvvv0efPn261Qd18+a8Qpphb2+PpqYmlJSUaKR9JpMJMzMzCIXCLo/sYrEY1dXVMDU1hY6ODgwMDGBoaAg+n68xZ0pHNB99i4uLsXPnTjx+/LhNGVGKovDbb7/hyy+/fKNGk+b06tUL1dXVXYoTF4vFiI6Oxu7du2FsbNxilAVezjjOnz+Puro6BAcH48mTJ8jLy8Ps2bMRHBwMBwcHfPDBB+r6OmrjjRtxgf9OmZ8/fw4OhwMdHR21X0NLSwsmJiaorq6Gubl5p0ZJsViMmpoa2mgVKCK1qqqq1KLu11UUAQIKFfr4+Hi88847Lcqbnj9/HjKZDMuWLXst/VQFhae3rq6u3f315shkMiQmJuLevXtwdXXF6tWrW617LZPJcPbsWcjlcgQHB6O4uBixsbFYsWIF7ty5gxs3buDJkydv5EvtjTRc4L9TZh6Ph/79+2vEBa+rqwtDQ0MIBAKVo5sUweavVpFUoJh68/l8mJiYaFRqsSMcHBywYsUK8Hg8REVF4d69ewgICICTkxMYDAZ27Nihcijg64LBYMDGxgYlJSUdGq5MJsPTp08RGxsLa2trLFu2DFwut9VjFXq3RkZGmDNnDqqrq3H69GnMmjULhBAsXLgQP/zwwxs3RVbQI9pBXUURi6qlpQU3NzeNXIMQAqFQCKlUCg6H0+5DrFjTvjrStoZUKoVAIIChoaHKKYqavpepqam4d+8eGAwG7OzssGDBAuTl5alVykQTREdHAwDeeeedVj+vqalBUlISHj9+DEtLS4wdOxb29vZttqdI1xs0aBD8/f0hEAhw6NAhjB8/Hv3794e7uzsGDhyIU6dOvY49W9UuqKr7mfTAdlBrSCQSkpKSQgoLC9s8ZsWKFcTCwqLNyCkFMTExxNvbm3h6etJF0AkhZNu2bcTDw4N4eHiQBQsWtJqFIxaLSWlpKRGLxSQzM5P4+/sTb29v4uHhQVatWkUIIaSqqoqMHTuWGBgYkHXr1pGmpiZSUVFBBAIB+eyzz4idnV2LgujN0fS9JOTl9lFubi6ZPn06GTx4MLl8+TIpKyvT+HW7Q2vlWSmKIjwejxw/fpxs2bKFXLt2jVRVVXXY1tOnT8nWrVvpDDCBQEC2b99OZ4hNnjyZ9O/fv0eLvb/C27eP2xYikYgkJycTgUDQ6udtpfU1p7q6mvTt25feu1MELBQVFREnJydSX19PqqurSVBQEDlw4IDSuYrgCoVBT5w4kVy4cIH+PDU1le7nnTt3yJ49e+jQQblcTgQCAbly5QopLCx87YZLyMvvY2JiQs6fP09iYmLItm3byO+//05u375NysvL36jSsIS8vK8//vgjEYvFJDc3l1y9epX8/PPPZN++feTRo0cqpR9SFEWioqLIzz//TEpLSwkhL5+JHTt2kIcPHxJCCPnHP/5BzMzMSFFRkUa/TweoZItv7Bq3OQYGBnB0dEReXh709PRarBvHjBmD/Pz8dts4fvw4Zs+eTXsVm699ZDIZxGIxjIyM6L8pigKTyaS3eXr16kVftzNqfUwmEyYmJvDz81N7WZeusn//fpiZmdGqcqNHj0ZBQQGysrJw/PhxMBgMuLu7w93dHQ4ODj2qovAqYrEYeXl5YLFY2LZtGywsLODm5oaFCxfC0tJSpamsWCzGhQsX0NjYiFWrVsHAwAB8Ph9HjhzByJEjMXToUFy8eBHbt29HdHR0l1UpehK1Gi6P9x3qRBnqbBJGhn3h5rYZHA4HDQ0NyMrKQv/+/Tv9MPF4PDQ1NWHs2LGoq6vDhg0bsGzZMtja2mLTpk1wcHCAnp4eJk6ciAkTJoDP58PU1JRepzaX2+isWp+iDpaWlha9pjYyMnptMa979uxBSEgI/X+FF793796YPHkyKioqkJWVhVu3bqGqqgpWVlawtram9Wc78gV0leZymQrtWoFAACcnJ9jb20NPT4/WJFaV58+f49KlS3B3d8e8efPAYrFQWVmJI0eOwN/fH4MHD0ZOTg6WLl2K3bt3qzWdUZO8FSOuAjs7OzQ2NiIrKwuenp6dOlcmkyE5ORlRUVFobGzEiBEjMHz4cFhYWODixYvIy8uDiYkJ5s2bh0uXLiEoKAiVlZXQ19dvUZ5kxYoVmDRpEq5du4aLFy9i3759ePLkSYcOK4UWrkwmQ2VlJUxMTHo8WikpKQm5ubnYsGFDq58zGAxYWlrSye6NjY20EWVnZyMuLg719fWwtLSEiYkJDA0NYWRkBCMjI/rfenp6YDKZYDKZYDAYoCgKFEVBLpejoaEBdXV19B+RSASRSEQXulcIVNva2sLX1xeWlpZgs9l0KRlCiMqj7PXr15GXl4cZM2agd+/eAICioiKcPHkS48ePh7e3N8RiMUaPHo3Q0NAekQtVF2o1XDe3zepsrgUMBgMuLi549uwZcnNz6V+GKtjZ2YHD4cDAwAAGBgYYM2YMnjx5AgBwdnamc2lnz56N+/fvY+rUqWCz2WhsbISenl4LA7OxsUFISAhCQkLQv39/pKWlYfDgwSr1xdTUFGKxGAKBAPr6+j06+u7duxfjxo1TuVaSnp4ePRoraGxsRHl5OWprayESiVBbW4vi4mLaGMViMW2siiUHk8kEi8WiA1UUhm5qagoHBweYmJjQRtoaFhYWYDKZKqkaKEZZV1dXrF27ln6hPnnyBDdu3KAT5SmKwsiRI+Hu7t5qJcs3mbdqxAVeTuvc3NyQmZmJgoIClRXcZsyYgfXr10Mmk0EqleLhw4fYuHEj6uvr8eDBAzQ0NEBPTw9RUVH0aL5t2zZ6y8DY2Jjeo7127RrGjRsHLS2tLqn1MRgM+mVQW1tLj749QVRUFP75z392qw09Pb12C61pAgaDAW9vbyQnJ7dpuG2NshRF4datW8jMzMTy5cvpl3RAQAAaGhoQHR39WtfxXUJVLxZ5jV7l1mhoaCCPHj0iL168UCmtj5D/puP169dPKUXryy+/JO7u7qRfv35k/vz5pKioiMjlclqtTyqVkrKyMlJTU0MoilKrWh9FUaShoYGUlpaSpKQkUlNTo7F7xuPxiJ6e3mtXAewqdXV15KeffmrRf5lMRhISEkhYWBi5dOmSkvBbY2MjOXr0KDl06JDSFs+ECRNI7969SUVFRY/1X0VUssU3OgCjIxTOKgsLCyUvb1epr69HfX09HUU1adIkXL9+HcB/C5kDoOVC1AlFUXR504EDB8LPz69bCRCt8Y9//ANxcXG4c+eOWtvtSc6cOQN7e3sMGzYMhBCkpaUhJiYGZmZmGDduHKytreljq6qqEB4eDhcXF0yaNIn+nU2fPh1PnjxBQkLCmxh8otKa6a02XOClsWVlZYHL5XbLeBVRUe3FLZP/eITFYjHMzMzUHouckZEBOzs7xMXFIT09HcOHD8fw4cPV5sDy8fHBggUL8Mknn6ilvddBQUEBLl++jIkTJ9JT3HHjxsHZ2VnpuOzsbFy4cAHjxo2jq3gCQFBQEJKSkpCQkKCWl70G+GsYLvDSeHk8HjgcTovsD1VQKAyoGlvc0NBA6xp1R3HhVZrfSz6fj5iYGBQUFGD06NEYOHBgtwy4uroa1tbWyM3N7THJSnVDCEF+fj7Cw8Ohra2NqVOnwsPDQ+n+S6VS3Lx5EzweD3PmzFF6HiZOnIiMjAzEx8e/qUYLqGi4b51zqjUMDAzg7u6OrKwsEEJUdlgBL6eoir1aVRMC9PX1oa2tjZqaGjQ2NsLExETtoy+Hw8HcuXNRUlKCO3fuIDY2Fl5eXvD19e2SVs3x48fh4uLyVhqtRCLBkydPkJSUBEIIBg0ahOzsbLi7uysZbV5eHiIiIuDk5IS1a9fSv0+KohAQEIDCwkIkJCQoTaffVv4nDBd4aUweHh7IysqCXC5XaauIEIKamhpoa2vDwMCgU9djs9l0UIhCKlOdo68CGxsbLFiwALW1tUhOTsbhw4dhbm6OIUOGwN3dXWVv6Pnz5zFx4kS19k3TlJeXIzExEc+ePUPv3r0xdepU+qVcXl6OlJQUDB48WGmUnTZtGlxdXek2pFIpRo0aBaFQiIcPH74WgS5N8D8xVW6OWCwGj8cDi8WCh4dHuw+2Ys/R3Ny8WwanEC0jhHRr9FXlXsrlcmRkZCApKQkCgQCDBg2Cp6cnuFxum99BLpfDxMQEt2/fVpKRfBNpaGgAj8dDSkoKqqur4ePjg8GDB7fQDyouLsbJkycxffp0XLlyBU5OTpg0aZLSrOnFixfw8/ODnZ0dLl++3Ka41xvGX2eN+ypyuRw5OTlobGyEu7t7q1PgxsZGCIXCDlXzVIUQQkcFKYIMOvsy6Oy9rKiowKNHj5CVlQUAcHNzg7u7OxwdHZW+061bt7B48WKUl5d3qj89RVVVFbKyssDj8VBeXg5nZ2d4eXm1O6NoaGjA77//joaGBsydO1dplAWA69evY/78+Vi0aBF+/fXX11bUoAv8dda4ISEhuHz5MrhcLtLS0sBiseDq6ori4mKkp6fDyckJLBYLS5YswYsXL9DU1ITVq1fj/fffpx8MoVAIT09PzJw5s9Vays158OABNmzYAIlEAolEggULFuDrr79GYWEhli9fjpSUFHz66af45JNPaH3fV/uoDrhcLiZPnoxJkyahsrISWVlZiI6OBp/Ph4uLC9zc3ODs7Iy4uLg36uXa1NSE4uJi8Hg88Hg8SKVSuLm5wc/PD87Ozu1WI5FKpYiPj8fDhw/h5uaG7OzsFsuc77//Hj/88AO2b9+O9957T9Nf57XwPzHi3r59G4aGhli2bFkLo+Dz+SgoKMDJkycBAD/++CMyMzPh5+eHsrIy2lO7YcMGVFZWwszMrEPDdXd3x6lTp+Dt7Q25XE7HTldUVKCgoAAXLlyAkZERVq5cCYqiYGRkhISEBBgZGbXaRwXqupcikYg2ihcvXuDs2bOwt7fH+vXr6UQBdYtFt0VTUxPKyspaJA5wuVz06dMH7u7usLa27nB2IpfLkZycjDt37sDJyQkBAQEwMzOjiwOsXr0aDAYDs2fPRlxcHC5dugQ/P78e+Y5q5q8z4raX1sfhcKCrq0s7kWpqaiCVSmFmZka/2ZOTk1FeXo7JkycjKSmpw+tVVFTQnkkWi0WHSHK5XHC5XERGRtLOK4lEQo/mAoFAPV+4AwwNDeHj4wMfHx8QQrB7924sXboUcrkciYmJKCkpAYvFgrW1NYyNjZUSBBR/9PX1OwwyIYRAIpFAJBIpJQ0o/l1ZWQmBQAALCwtYW1vD3t4eQ4cOBZfLVbnGV/MgCw6Hg8WLFysFTXh5eSE9PR1Xr17Fxx9/TAeydGVb8G1CrYa7ObsIaSL1ykD2N9TDd67d23MzMDDA119/jSlTpsDd3R2NjY04efIkmEwmKIrChx9+iKNHj+LWrVsqtbdx40a4u7tj7NixmDx5Mt59991W19EMBgO6urq00lx+fj7kcjkkEgm0tbV7JLFAIpGgpKQEixYtop0zhLyU/ywrK6ONrKioiDY6kUiExsZG6Orq0skBCiNunjwglUrplMXmiQNGRkawtrbGyJEjO2WkzaEoCllZWYiLiwObzUZQUFCr8dEMBgNWVlZYu3Yt3N3dcezYsU7vELyN/E+MuKoQExODkSNH4uTJk0hNTcXatWuRlpaGw4cPY+rUqZ3akP/yyy+xePFi3LhxA8ePH8eJEycQGxvb5vEMBgP6+vq097qmpgYMBgMGBgZ0CpymuHv3LjgcjpJHVSE/2l5ig1wuV8rykcvlIITQRsxkMqGlpaX2CpwikQiPHj1CcnIyevXqBX9//xZBFgooikJoaChOnjyJzz//HF988cWboevTA6jVcLs7MmqSgwcP4tNPP4WzszM4HA6srKxw5coV3L17F/fv38fu3bshEokglUphaGiIn376qd32XFxcsHbtWqxatQoWFhZ0MfT2YDAYYDKZ4HK5kEqlqK+vh1AohL6+vtrjkhXcvn27S4LaihS8noAQghcvXiAxMRE5OTnw9PREcHBwu3HEDx8+xJw5c2BkZIQHDx4oiYv/FXhz63KqGQcHB0RFRQF4uRVUXFwMNzc3fPzxx3jw4AHy8/MRFhaGZcuW0Ua7bNkyJCQktGgrMjKSLtCdnZ1NizKrCoPBgI6ODi3izGAwwOfzIRKJ8OzZM7UWVE9KSsLAgQPV1p46EYvFSExMxJ49e3D58mXY29tjw4YNmD59eptGS1EUVqxYgYCAAKxatQqpqal/OaMF/kemysHBwYiNjUVVVRXs7OzwzTffIDQ0FHv37gUArFmzBps3b8by5cvh5eUFQgi2bNkCHx8fCIVC5Obmorq6Gk1NTUrtpqamthoieOTIEWzcuBH6+vpgs9k4duwYWCwWysrK4OvrC6FQCCaTiR07diA9PR3GxsZt9pHNZtMOooqKCiQlJeHSpUvo3bs33Nzc4Orq2q2RLyMjAytWrOjy+eqmurqa3rMtLi5Gnz59MGXKFLrWc3v81UfZ5vxPbAd1F7lcjsLCQggEAlhZWcHGxgZCoRChoaE4ffp0j/VDcS/r6+uRnZ0NHo+H3NxccLlcungbh8NReR2nmPaXlJTA3Nxcw71vHUIIiouLaWOtr6+Hq6sr3N3d0bt3b5USJ5qvZT/55BN8/vnnb1NARWf560ZOdRWhUIi8vDwwGAy6nEpP0tq9lMlkyMvLA4/HQ1ZWFrS0tODs7AwbGxtYW1uDy+W2GV2UkZGB4cOHo7a2tie6D+Dly6KsrAylpaUoKSlBTk4O9PX16aguW1vbTjnjfvvtN3z33XfgcDg4efLkX2GU/evs46oLY2NjeHl5oaKiArm5udDW1oaTk5PK9Zk0AZvNhqurK1xdXTF16lSUlZWhoKAABQUFePDgAaqrq8HlcunAiubGnJOTo9GXT3MjVRhq8/44ODjA39+/SzHCp06dwqZNmyCRSLB9+3YEBwe/feVlNMj/Ge4rMJlMWFlZwdzcHGVlZeDxeNDT04Ozs/Nr1QECXjq1FGVSFSiMp6SkhDZmRRG6jIwMGBgY4PLlyy0CLBR7tM2rMRJCWq3I2FqAhUgkgkQiUTLSYcOGtTsDUIXY2Fi89957KCsrw7fffos1a9ZoRPTtbef/DLcN2Gw27OzswOVyUVJSgvT0dBgaGsLZ2fmNWl9pa2vDwcFBKVJILpdDJBJh8+bNdKnVuro6pUqMEolEKZiieTVGxR9FBUqF0dvZ2XU6ukpV0tLS8O677yIzMxMffvghPvroox4Ly3wb+T/D7QDFdNnKygpFRUV4+vQpjI2NYW9v/8aOBCwWC7169UJNTQ0cHR0xZMiQ192lNklKSsLGjRuRnJyMkJAQXLt27X8mZ1aT/GX2cbuLrq4u+vTpAw8PDwAvR4hnz571WPxxVygrK3sjK15QFIVt27bBxcUFY8aMgYeHB9LT07Fz587/M1oVeesNt7CwEAEBAfD09ES/fv3wyy+/tHocIQQffPAB+vTpgwEDBuDRo0cdtv3HH3/Ay8sLAwYMQP/+/XHx4kXo6+sjJSUFS5cuhZeXF65evYonT56goKAA5eXlCAgIgKGhIdavX6/ur9ppKisr25Wb7GlevHiBefPmgcPhYOfOnfj73/+OsrIy/P777z1ep/mtR9U6ruQNq6usoKSkhJZIFAqFxNXVla5l3JzIyEgyefJkQlEUiY+PJ0OHDm233cLCQtK7d2+6znFdXR3Jzc0lhLz8zgqpzYSEBFJdXU0yMjLI3bt3ydGjR8nPP/9Mq/V1BnXfS3t7e3LlyhW1ttkVwsPDyYABA4iuri6ZMWMGiYuLe+MUAd8g/nfU+tqjuZfVyMgIffv2RXFxcQttoYsXL2LZsmVgMBgYPnw4ampqUFpa2mbhsIqKCtoxA7xMlVP8u/lea/OAfbFYDHt7e/zxxx+oqqpCTk4OuFzua3Oy1NTUwMXFpcevS1EULl68iL179+Lx48eQy+X44IMPsHr16jexjvFbiVoN95tLz5BeIlRnk/C0McZX0/updGx+fj5SUlJaVVwrLi5Wmjba2dmhuLi4TcP19vaGpaUlnJ2dMW7cOMyePRvTp09v9/q6oTQCdgAAA+5JREFUurq0h7e4uBgMBgPZ2dlgMpnQ1dWFubl5pyKfugNFURCJRD02BW1oaMCuXbtw8uRJZGdnQ0dHB3PmzMGmTZsQEBDQpdS+/6Nt/mfupkgkwpw5c7Bjxw4YGxt3uz0Wi4Vr164hMTERUVFRtOfz66+/7vBcJpMJHR0d9O7dG4QQ1NfXo7q6GiUlJXjx4gV0dHRgYmICLpersa0lRa6sJtUA8/LysH37dty4cQMFBQVwcXHBwoULMXPmTPTv3/8vk2L3OlCr4ao6MqqbpqYmzJkzB4sXL8bs2bNbPcbW1haFhYX0/4uKijoU6mIwGBg6dCiGDh2KCRMmYMWKFSoZ7qttKKbZ9vb2EIvFqKmpQXV1NcrKysBisaClpQU9PT2IRCIIhUK1vHikUqla83zLyspw7tw53Lp1CxkZGSgvL0d9fT38/PywadMmTJs27X+iXvHbwls/4hJCEBoair59++Lvf/97m8cFBQVh586dWLhwIR4+fIhevXrRD5qHhwcyMzOVji8pKUFZWRktX/H48eNOFVpvC11dXVhZWcHKygpyuRyNjY1oaGig5So5HA5MTU1hZWUFLy8vTJo0Cf7+/rC3t++UIXbVcCmKQnZ2NqKiopSMVCQSoU+fPhg1ahQ2bdqEwYMHo1+/fm9UMMpfibfecO/du4cjR47Ay8uLzjv94YcfMHXq1P/f3h2rKg5EYQD+MYEMprBRsYhEcB7A51BfRStfwCfxEbQQC3tLb2ErpDAhCBJQYzQmiFssG7hwd1GU1cH/A9swhPwkDuec+dbW12w2MZlMIKVEPp/HYDAA8Hs06PWHRos0TdHr9eD7PoQQKJVK2fWGwyE6nQ42mw1arRYajUZ2OFitVsN+v0eSJBiNRphOp389hFvTtOxtXC6XcT6fsdvtsFgsMJ/PMZvN0O/34fs+0jTNzvY1TROFQgHFYhHVahX1eh1SymyihmEYCMMQuVwOX19fOJ1O2UTK7XaL5XIJx3HgeR6CIEAYhoiiCIfDAcfjEUII2LbNkL6xj+8OGo/HcBwH3W731Uv5572Moigr5P9T1O+6LlarFVzXxXq9RpIkuFwu2c8wDMRxDF3Xoes6NE2DECIb3GbbNizL+tagUKlUXl6T/eHYHXSLdrv96iXcxDRNSCkhpXz1UugNKF85RfSJnhLcOz+36Qe8h3SPh4MrhEAQBHzwHnC9XhEEAf9b0s0e3pxK0xSe5yGO4+et6gMJIWBZFndu6f/MnCKip7opuNycIlIQg0ukIAaXSEH3FmCw3YPoDfCNS6QgBpdIQQwukYIYXCIFMbhECmJwiRTE4BIpiMElUhCDS6QgBpdIQb8ANxjXK1PnGJUAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# let's plot all of them\n", "# output stability first\n", "\n", "for i, f in enumerate(bjt.f):\n", " # decimate it a little\n", " if i % 100 != 0:\n", " continue\n", " n = net.Network(name=str(f/1.e+9), s=calc_circle(cl[i][0, 0], rl[i][0, 0]))\n", " n.plot_s_smith()" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# input stability\n", "for i, f in enumerate(bjt.f):\n", " if i % 100 != 0:\n", " continue\n", " n = net.Network(name=str(f/1.e+9), s=calc_circle(cs[i][0, 0], rs[i][0, 0]))\n", " n.plot_s_smith()" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "21.769786511748308" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# so not very useful, because the transistor isn't unconditionally stable\n", "# time to draw the circles of constant gain and try to find a useful point\n", "\n", "K = (1 - sqabs(bjt.s11.s) - sqabs(bjt.s22.s) - sqabs(delta))/(2*np.absolute((bjt.s12.s)*(bjt.s21.s)))\n", "G_msg = np.absolute(bjt.s21.s)/np.absolute(bjt.s12.s)\n", "10*np.log10(G_msg[idx_900mhz, 0, 0])" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "the optimum source reflection coefficient is (-0.08467428228793622+0.028256074360617722j)\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# let's draw some constant noise circles\n", "# first we grab the noise parameters for our target frequency from the network model\n", "idx_915mhz = skrf.util.find_nearest_index(bjt.f, 915.e+6)\n", "\n", "# we need the normalized equivalent noise and optimum source coefficient to calculate the constant noise circles\n", "rn = bjt.rn[idx_915mhz]/50\n", "gamma_opt = bjt.g_opt[idx_915mhz]\n", "fmin = bjt.nfmin[idx_915mhz]\n", "\n", "for nf_added in [0, 0.05, 0.1, 0.2, 0.3]:\n", " nf = 10**(nf_added/10) * fmin\n", " \n", " N = (nf - fmin)*abs(1+gamma_opt)**2/(4*rn)\n", " c_n = gamma_opt/(1+N)\n", " r_n = 1/(1-N)*np.sqrt(N**2 + N*(1-abs(gamma_opt)**2))\n", " \n", " n = net.Network(name=str(nf_added), s=calc_circle(c_n, r_n))\n", " n.plot_s_smith()\n", "\n", "print(\"the optimum source reflection coefficient is \", gamma_opt)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(-0.08467428228793622+0.028256074360617722j)" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "gamma_s = bjt.g_opt[idx_900mhz]\n", "gamma_s" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "((0.21999099915891854+0.3069703855115699j), True)" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# so I need to calculate the load reflection coefficient to get a conjugate match when the input sees 50 ohms\n", "gamma_l = np.conj(bjt.s22.s - bjt.s21.s*gamma_s*bjt.s12.s/(1-bjt.s11.s*gamma_s))\n", "is_gamma_l_stable = np.absolute(gamma_l[idx_900mhz, 0, 0] - cl_900mhz) > rl_900mhz\n", "\n", "gamma_l = gamma_l[idx_900mhz, 0, 0]\n", "gamma_l, is_gamma_l_stable" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "((61.010418830901244+43.68784338075274j),\n", " -453.20809800274003j,\n", " 45.98589652867048j)" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "def calc_matching_network_vals(z1, z2):\n", " flipped = ((abs(np.imag(z2)) < 1e-6 and np.real(z1) < np.real(z2)) or\n", " (abs(np.imag(z2)) > 1e-6 and np.real(z1) < np.real(1/(1/z2-1/(1.j*np.imag(z2))))))\n", " if flipped:\n", " z2, z1 = z1, z2\n", " \n", " # cancel out the imaginary parts of both input and output impedances \n", " z1_par = 1e+10\n", " if abs(np.imag(z1)) > 1e-6:\n", " # parallel something to cancel out the imaginary part of\n", " # z1's impedance\n", " z1_par = 1/(-1j*np.imag(1/z1))\n", " z1 = 1/(1./z1 + 1/z1_par)\n", " z2_ser = 0.0\n", " if abs(np.imag(z2)) > 1e-6:\n", " z2_ser = -1j*np.imag(z2)\n", " z2 = z2 + z2_ser\n", " \n", " Q = np.sqrt((np.real(z1) - np.real(z2))/np.real(z2))\n", " x1 = -1.j * np.real(z1)/Q\n", " x2 = 1.j * np.real(z2)*Q\n", " \n", " x1_tot = 1/(1/z1_par + 1/x1)\n", " x2_tot = z2_ser + x2\n", " if flipped:\n", " return x2_tot, x1_tot\n", " else:\n", " return x1_tot, x2_tot\n", "\n", "z_l = net.s2z(np.array([[[gamma_l]]]))[0,0,0]\n", "# note that we're matching against the conjugate;\n", "# this is because we want to see z_l from the BJT side\n", "# if we plugged in z the matching network would make\n", "# the 50 ohms look like np.conj(z) to match against it, so\n", "# we use np.conj(z_l) so that it'll look like z_l from the BJT's side\n", "z_par, z_ser = calc_matching_network_vals(np.conj(z_l), 50)\n", "z_l, z_par, z_ser" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(3.837968237599342e-13, 7.998778956339167e-09)" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# let's calculate what the component values are\n", "c_par = np.real(1/(2j*np.pi*915e+6*z_par))\n", "l_ser = np.real(z_ser/(2j*np.pi*915e+6))\n", "\n", "c_par, l_ser" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# the capacitance is kind of low but the inductance seems reasonable\n", "# let's test it out\n", "\n", "output_network = tem.shunt_capacitor(c_par) ** tem.inductor(l_ser)\n", "\n", "amplifier = bjt ** output_network\n", "\n", "amplifier.plot_s_smith()" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.9595673772253283" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# that's probably good enough for the first stage\n", "# for the second stage let's stabilize the transistor by adding some parallel resistance\n", "# and then simultaneous conjugate matching so that both the input and output are matched to 50 ohms\n", "\n", "# let's calculate the stability factor to see where it's unstable\n", "sqabs = lambda x: np.square(np.absolute(x))\n", "delta = bjt.s11.s*bjt.s22.s - bjt.s12.s*bjt.s21.s\n", "K = ((1 - sqabs(bjt.s11.s) - sqabs(bjt.s22.s) + sqabs(delta))/(2*np.absolute(bjt.s12.s*bjt.s21.s)))[:,0,0]\n", "\n", "plt.plot(bjt.f, K)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#so it's basically always unstable\n", "#let's add a 250 ohm shunt to the output and see how much that improves it\n", "\n", "bjt_comp = bjt ** tem.shunt(tem.resistor(250) ** tem.short())\n", "bjt_comp.plot_s_smith()" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# let's calculate K again\n", "delta2 = bjt_comp.s11.s*bjt_comp.s22.s - bjt_comp.s12.s*bjt_comp.s21.s\n", "K2 = ((1 - sqabs(bjt_comp.s11.s) - sqabs(bjt_comp.s22.s) + sqabs(delta2))/(2*np.absolute(bjt_comp.s12.s*bjt_comp.s21.s)))[:,0,0]\n", "\n", "plt.plot(bjt_comp.f, K2)" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 20, "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": [ "# that's a pretty nice improvement! let's check the delta to be sure, and\n", "# find the new source stability circles to see if we need to add some series resistance there\n", "\n", "# K > 1 and |delta| < 1 for stability\n", "plt.plot(bjt_comp.f, np.absolute(delta2[:,0,0]))" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "rs2 = np.absolute((bjt_comp.s12.s * bjt_comp.s21.s)/(sqabs(bjt_comp.s11.s) - sqabs(delta2)))\n", "cs2 = np.conj(bjt_comp.s11.s - delta2*np.conj(bjt_comp.s22.s))/(sqabs(bjt_comp.s11.s) - sqabs(delta2))\n", "\n", "# input stability\n", "for i, f in enumerate(bjt_comp.f):\n", " if i % 100 != 0:\n", " continue\n", " n = net.Network(name=str(f/1.e+9), s=calc_circle(cs2[i][0, 0], rs2[i][0, 0]))\n", " n.plot_s_smith()" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "((6.688404054259953+14.289121684851596j),\n", " (24.627073941262225+68.64185663380339j))" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# that doesn't look too bad, so let's move forward and try to conjugate match\n", "\n", "B1 = 1 + sqabs(bjt_comp.s11.s) - sqabs(bjt_comp.s22.s) - sqabs(delta2)\n", "B2 = 1 + sqabs(bjt_comp.s22.s) - sqabs(bjt_comp.s11.s) - sqabs(delta2)\n", "C1 = bjt_comp.s11.s - delta2*np.conj(bjt_comp.s22.s)\n", "C2 = bjt_comp.s22.s - delta2*np.conj(bjt_comp.s11.s)\n", "\n", "gamma_s_all = (B1 - np.sqrt(np.square(B1) - 4*sqabs(C1) + 0j))/(2*C1)\n", "gamma_l_all = (B2 - np.sqrt(np.square(B2) - 4*sqabs(C2) + 0j))/(2*C2)\n", "\n", "gamma_s = gamma_s_all[idx_900mhz, 0, 0]\n", "gamma_l = gamma_l_all[idx_900mhz, 0, 0]\n", "\n", "z_s = net.s2z(np.array([[[gamma_s]]]))[0,0,0]\n", "z_l = net.s2z(np.array([[[gamma_l]]]))[0,0,0]\n", "\n", "z_s, z_l" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(31.309270154238007j,\n", " (3.8606312629526866e-08-19.648489160626795j),\n", " 93.63907500214818j,\n", " (2.426511026384095e-07-49.259628768232666j))" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "x_s_1, x_s_2 = calc_matching_network_vals(np.conj(z_s), 50)\n", "x_l_1, x_l_2 = calc_matching_network_vals(np.conj(z_l), 50)\n", "\n", "x_s_1, x_s_2, x_l_1, x_l_2" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(-5.555537630192513e-12,\n", " -3.4176548351926555e-09,\n", " -1.8575560310879004e-12,\n", " -8.568211380695038e-09)" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "c_s_shunt = np.real(1/(2j*np.pi*915e+6*x_s_1))\n", "c_s_ser = np.real(1/(2j*np.pi*915e+6*x_s_2))\n", "l_s_ser = np.real(x_s_2/(2j*np.pi*915e+6))\n", "c_l_shunt = np.real(1/(2j*np.pi*915e+6*x_l_1))\n", "l_l_ser = np.real(x_l_2/(2j*np.pi*915e+6))\n", "\n", "c_s_shunt2 = np.real(1/(2j*np.pi*915e+6*x_s_2))\n", "l_s_ser2 = np.real(x_s_1/(2j*np.pi*915e+6))\n", "\n", "c_l_shunt2 = np.real(1/(2j*np.pi*915e+6*x_l_2))\n", "l_l_ser2 = np.real(x_l_1/(2j*np.pi*915e+6))\n", "\n", "#c_s_shunt, c_s_ser, c_l_shunt, l_l_ser\n", "c_s_shunt, l_s_ser, c_l_shunt, l_l_ser" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#input_network2 = tem.capacitor(c_s_ser) ** tem.shunt_capacitor(c_s_shunt)\n", "#input_network2 = tem.inductor(l_s_ser) ** tem.shunt_capacitor(c_s_shunt)\n", "input_network2 = tem.shunt_capacitor(c_s_shunt2) ** tem.inductor(l_s_ser2)\n", "\n", "#output_network2 = tem.shunt_capacitor(c_l_shunt) ** tem.inductor(l_l_ser)\n", "output_network2 = tem.inductor(l_l_ser2) ** tem.shunt_capacitor(c_l_shunt2)\n", "\n", "amplifier2 = input_network2 ** bjt_comp ** output_network2\n", "#amplifier2 = input_network2 ** bjt #** output_network2\n", "\n", "amplifier2.plot_s_smith()" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# check stability again\n", "delta2 = amplifier2.s11.s*amplifier2.s22.s - amplifier2.s12.s*amplifier2.s21.s\n", "K2 = ((1 - sqabs(amplifier2.s11.s) - sqabs(amplifier2.s22.s) + sqabs(delta2))/(2*np.absolute(amplifier2.s12.s*amplifier2.s21.s)))[:,0,0]\n", "\n", "plt.plot(amplifier2.f, K2)" ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "((23.043272480931243+14.289121684851596j),\n", " (45.94267504964764+40.80036092829553j))" ] }, "execution_count": 41, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# of course, it matches the other one since all we did was transform the impedances at the input and output\n", "# let's try again with 10 ohms of resistance in series with the base to stabilize that side\n", "\n", "bjt_comp2 = tem.resistor(10) ** bjt_comp\n", "\n", "delta3 = bjt_comp2.s11.s*bjt_comp2.s22.s - bjt_comp2.s12.s*bjt_comp2.s21.s\n", "\n", "B1 = 1 + sqabs(bjt_comp2.s11.s) - sqabs(bjt_comp2.s22.s) - sqabs(delta3)\n", "B2 = 1 + sqabs(bjt_comp2.s22.s) - sqabs(bjt_comp2.s11.s) - sqabs(delta3)\n", "C1 = bjt_comp2.s11.s - delta3*np.conj(bjt_comp2.s22.s)\n", "C2 = bjt_comp2.s22.s - delta3*np.conj(bjt_comp2.s11.s)\n", "\n", "gamma_s_all = (B1 - np.sqrt(np.square(B1) - 4*sqabs(C1) + 0j))/(2*C1)\n", "gamma_l_all = (B2 - np.sqrt(np.square(B2) - 4*sqabs(C2) + 0j))/(2*C2)\n", "\n", "gamma_s = gamma_s_all[idx_900mhz, 0, 0]\n", "gamma_l = gamma_l_all[idx_900mhz, 0, 0]\n", "\n", "z_s = net.s2z(np.array([[[gamma_s]]]))[0,0,0]\n", "z_l = net.s2z(np.array([[[gamma_l]]]))[0,0,0]\n", "\n", "bjt_comp2.plot_s_smith()\n", "z_s, z_l" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "n = net.Network(name=\"g_ms\", s=gamma_s_all)\n", "n.plot_s_smith()\n", "n = net.Network(name=\"g_ml\", s=gamma_l_all)\n", "n.plot_s_smith()" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 42, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "K3 = ((1 - sqabs(bjt_comp2.s11.s) - sqabs(bjt_comp2.s22.s) + sqabs(delta3))/(2*np.absolute(bjt_comp2.s12.s*bjt_comp2.s21.s)))[:,0,0]\n", "\n", "plt.plot(bjt_comp2.f, K3)" ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(39.21242839596277j,\n", " (2.1370613759246925e-07-46.22836116416731j),\n", " 54.453359198450926j,\n", " (2.830847640491411e-06-168.25123002496622j))" ] }, "execution_count": 43, "metadata": {}, "output_type": "execute_result" } ], "source": [ "x_s_1, x_s_2 = calc_matching_network_vals(np.conj(z_s), 50)\n", "x_l_1, x_l_2 = calc_matching_network_vals(np.conj(z_l), 50)\n", "\n", "x_s_1, x_s_2, x_l_1, x_l_2" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(3.762621562508633e-12,\n", " 6.820603070879208e-09,\n", " 1.0338101450427568e-12,\n", " 9.471607961084144e-09)" ] }, "execution_count": 34, "metadata": {}, "output_type": "execute_result" } ], "source": [ "c_s_shunt = np.real(1/(2j*np.pi*915e+6*x_s_2))\n", "l_s_ser = np.real(x_s_1/(2j*np.pi*915e+6))\n", "\n", "l_l_ser = np.real(x_l_1/(2j*np.pi*915e+6))\n", "c_l_shunt = np.real(1/(2j*np.pi*915e+6*x_l_2))\n", "\n", "#c_s_shunt, c_s_ser, c_l_shunt, l_l_ser\n", "c_s_shunt, l_s_ser, c_l_shunt, l_l_ser" ] }, { "cell_type": "code", "execution_count": 50, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "input_network3 = tem.shunt_capacitor(c_s_shunt) ** tem.inductor(l_s_ser)\n", "output_network3 = tem.inductor(l_l_ser) ** tem.shunt_capacitor(c_l_shunt)\n", "\n", "amplifier3 = input_network3 ** tem.resistor(10.) ** bjt_comp ** output_network3\n", "\n", "amplifier3.plot_s_smith()" ] }, { "cell_type": "code", "execution_count": 51, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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hIR4ZLCcrwjVnjualb5/Ll88czR/nVXPez1/kkbnraW9P/y8I3fnz/Gq++vv5jBlUxNM3flBJQuQIKVEcA0oKc/juxybx9I1nMW5wMf/82CIu/69XWbW1Ltmh9Zq7X36Pf/jj25w+ZgCPTD+DYSUa1SRypJQojiHjhxbzh787nZ9/ZgrrdjTw0V/O4d45azKudjHjb+/y46eX8dHJw7j3mlPpo0WERI6KEsUxxsy4/JQynvvmWXxwbCk/fGopX7j3DbbtaUx2aD3injlr+NdnlnPplOHcedVJ5GVrniaRo6VEcYwaXJzPPV+q4l8/OZkF63bz0V/OYd7anckO66g88Po6fvTUUj5ywlD+47NTNLJJpIcoURzDzIyrTyvn8es+QGFuFlfOeJ3/fm1tssM6IrOXbuV7Ty7mwxMGc+dVJ2nNCJEepHeTMGFoX2ZeH4wK+u6TS7jt6aVp1W/xTvVubnj4LU4YUcIvrz5J8zWJ9DC9owSAkoIcfvvFKr54xih++/IavvXoQppb25MdVrc27t7Hl383j4F9crnnS6dSmKuOa5GepneV7JcVMX7w8eMZ0jef22etoHZfC3d94ZSU7RBuam3j6w/Mp6mljUemn8agYi3qJNIbVKOQ9zEzrjt3LD/51GReXLGdrz+wIGVrFj9+ahlvV9dy+2emMHZwcbLDEclYShTSqaumlfPjT5zAC8u3ccPDC2htS61k8eTCjfz36+uY/qExXHxCZ8ueiEhPUaKQLn3+9FF8/9JJzFqylR8/vSzZ4exXvauBf3l8MVWj+nPTReOTHY5IxlMfhcR07Zmjqd61j3vmrKFiYCHXnDk6qfG0tzs3/fEd2t35jyumaoSTSAIoUUi3br5kIut2NPDDp5YyZlCfpE6ud+8ra3jtvR382+WTtZ6ESILo65h0Kyti3HnVVCoHF/OtPyxM2nQf63bs5fZZKzh/4mA+WzWy+xeISI9QopC4FOZm86urT6KhuY1vPLKQtgTfkOfu3DpzCdkR48efmHzMr9gnkkhKFBK3yiHF/PCy43ntvR3c/fJ7Cb32rCVb+euK7XzrgnEMLclP6LVFjnVJSRRmdruZLTezd8zscTPrF7XvO2a22sxWmNlFyYhPuvbpU8q4YNIQfvH8StbW7E3INRtb2vjRU0sZP6SYL32gIiHXFJEDklWjeB44wd1PBFYC3wEws0nAlcDxwMXAf5pZat4WfIwyM3502QnkZkW4+fFFJGIp3QdeX8fG3fv4/qWTNMpJJAmS8q5z97+4e2u4+TpQFj6/DHjE3ZvcfQ2wGpiWjBila0NL8vnnSybw6rs7ePytjb16rbrGFn7919WcVVnKB8aW9uq1RKRzqfD17MvAs+HzEcCGqH3VYdkhzGy6mc0zs3nbt2/v5RDlYFedWs6JZSXcPmsFjS1tvXadu19ew66GFt1YJ5JEvZYozGy2mS3u5HFZ1DG3AK3Ag4d7fnef4e5V7l41aFDyxvUfqyIR4+ZLJrK5tpF75qzplWvUNrRwz5w1fOSEoZxY1q/7F4hIr+i1G+7c/fxY+83sGuBjwIf9QEP3RiB6gHxZWCYp6PQxA7lg0hB+8+K7fO60cvoV5vbo+R+au576plZuOK+yR88rIocnWaOeLgb+Efi4uzdE7ZoJXGlmeWY2GqgE5iYjRonPty8cT31TK/e/uq5Hz9vU2sZ9r6zhrMpSJg3v26PnFpHDk6w+il8BxcDzZrbQzP4LwN2XAI8CS4HngOvcvfcawOWojR9azPkTB3Pfq2vY29Ta/QviNHPhJrbVNfHVs8b02DlF5Mgka9TTWHcf6e5Tw8f/jdp3m7sf5+7j3f3ZWOeR1PD1c8eyu6GFh+eu77Fz3v/aWsYPKeasSo10Ekm2VBj1JGnu5PL+TBs9gN+9urZHpvZYsqmWxRv3cPVp5ZqqQyQFKFFIj/jiGaOo3rWPv606+qHKj765gdzsCJ+Y2unIaBFJMCUK6REXThpKaZ9cHnrj6JqfGlvaeGLhJi4+figlhTk9FJ2IHI1uh8ea2WDgTGA4sA9YDMxz99RaG1OSKjc7wmeqRnLXS++yra6RwcVHNnHf80u3UruvhStO1TTiIqmiyxqFmZ1rZrOAp4GPAMOAScC/AIvM7AdmpnGLst+nThpBu8Ozi7Yc8TmeWbSZQcV5nDFmYA9GJiJHI1aN4hLgq+5+SFuCmWUT3Cx3AfDnXopN0kzlkGLGDynmf97edESzvO5rbuPFFdu5/JQRRCLqxBZJFV3WKNz9ps6SRLiv1d2fcHclCXmfS6cMY966XWzave+wX/vSym3sa2njIycM64XIRORIxezMNrOzzezE8PlnzexXZvYtM8tLTHiSbj524nAAnlt8+M1Ps5ZspV9hDqeNHtDTYYnIUYjVR/Fr4MfA3Wb2AHA1QUf2ycC9iQlP0k1FaRFjSot4aeXhDZN1d15etZ2zxw0iW2tOiKSUWH0U57r7JDPLJ5iYb7C7t5nZXcA7iQlP0tHZ4wfx0BvraWxpIz8nvnWnVmyto6a+mQ9qzQmRlBPrq1sjgLs3Aus65lwKZ3ptSUBskqbOHjeIptZ23lizM+7XzFlVA8CZShQiKSdWjWKwmf09YFHPCbe1AIR06fQxA8nLjvDSiqApKR6vvruDMaVFDO9X0MvRicjhilWj+C3BDK99op53bN/d+6FJusrPyWLa6AG8+m5NXMe3tLXzxns7VJsQSVFd1ijc/QeJDEQyS9WoAdzxwkr2NLbQNz/2VBwrttSxt7mNaRrtJJKSukwUZnZnrBe6+409H45kilNG9ccd3lq/u9vmp7fW7wLgpHItdyqSimI1Pc0PH/kEQ2JXhY+pQM+ueSkZZ2p5PyIG89ft6vbYtzbsprRPHiPUPyGSkmI1Pd0PYGZfAz7o7q3h9n8BLycmPElXffKymTC0LwviSBQL1+9m6sh+WntCJEXFc2dTfyB68r8+YZlITCeM6MvSzXsIRlR3bk9jC+/V7FWzk0gKiydR/BR4y8x+Z2b3AwuAfz2ai5rZj8zsnXC97L+Y2fCw3MzsTjNbHe4/+WiuI8k1cVhfdu5tZltdU5fHrNhSB8CkYZqIWCRVdZso3P0+4DTgceAx4IyOZqmjcLu7n+juU4GngO+F5R8BKsPHdOA3R3kdSaKOD/+lm/d0eczyMFGMG1qckJhE5PDFmuupouO5u29x9yfDx5Zwv5lZ2ZFc1N2jPzmKgI62icuA33vgdaCfmWkq0TQ1IUwUy2IkihVb9lCcn83wkiNb6EhEel+sO7NvN7MI8CTB6KftBCOgxgLnAh8Gvg9UH8mFzew24ItAbXg+gBHAhqjDqsOyzZ28fjpBrYPy8vIjCUF6WUlBDiP6FbBsc12Xx6zYUsf4IcXqyBZJYbHWo/gM8F1gPPBrgpFOTwL/B1gBnOfuz3f1ejObbWaLO3lcFp7/FncfCTwIXH+4gbv7DHevcveqQYM0o0iqGjekD6u31Xe6z91ZvqWO8Wp2EklpMdfMdvelwC1HcmJ3Pz/OQx8EniGonWwEohdLLgvLJE1VlBbxxpqduPshtYbtdU3UNbYybogShUgqS8rE/2ZWGbV5GbA8fD4T+GLY/3E6UOvuhzQ7SfqoGFhEQ3Mb2zsZ+bR+ZwMA5QMLEx2WiByGmDWKXvRTMxsPtAPrgP8blj9DsFb3aqABuDY54UlPqSgtAmDtjgYG931/h/W6HUGiGDVAiUIklSUlUbj75V2UO3BdgsORXlQR1hbW1uw9ZNK/9TsbMIMR/TV1h0gq67bpKWwG+ryZfS/cLjezab0fmmSCEf0KyI4Ya3fsPWTfhp0NDOubT152fKvgiUhyxNNH8Z/AGcBV4XYdwSgokW5lZ0UYOaCw00SxfmcDI9XsJJLy4kkUp7n7dRxYGnUXmj1WDsPIAYVs2LnvkPL1OxsoV6IQSXnxJIoWM8sivHvazAYRdEKLxGV4ST6ba9+fKBpb2thW16QahUgaiCdR3Ekwz9Pg8G7qORzlpIBybBlWUkBNfTNNrW37y7bUNgJojWyRNNDtqCd3f9DM5hNM2WHAJ9x9Wa9HJhljWL9gWOyW2kZGDQyGy3bMKDu4OC9pcYlIfGIthRo9lnEb8HD0Pnff2ZuBSeYYXhLUGjbtPpAotu4JahRD+moyQJFUF6tGMZ+gX8KAcmBX+LwfsB4Y3evRSUYYGs4MG91PoRqFSPqINSngaHcfA8wGLnX3UncfCHwM+EuiApT0N6RvkAyip/HYVtdIblaEfoU5yQpLROIUT2f26e7+TMeGuz8LfKD3QpJM0ycvm9zsCDv3Nu8v27aniUHFeZpeXCQNxDOFxyYz+xfggXD7c8Cm3gtJMo2ZUVqUS039gUSxvS5IFCKS+uKpUVwFDCIYIvs4MJgDd2mLxGVAn1x27j3Q9LSroZmBRbpvUyQdxDM8difwjQTEIhlsYFEeO6KannY3tGjBIpE00W2iMLO/cmBN6/3c/bxeiUgy0sCi3PetdFe7r4V+BapRiKSDePoovh31PB+4HGjtnXAkUw3sk8uOsOmppa2d+qZWjXgSSRPxND3NP6joFTOb20vxSIYaUJRHY0s7Dc2tNDQHU3koUYikh3ianqLv0I4ApwAlvRaRZKSOpFC7r4W9TUGiKClQohBJB/E0PUXfod0KrAG+0ptBSebpkxf8qdU3trKnsQWA/oXqoxBJB/EMj53o7mPCO7Ur3f1C4M2euLiZ/YOZuZmVhttmZnea2Woze8fMTu6J60jy9ckPEkVdUyu7G4JEoaYnkfQQT6J4tZOy1472wmY2EriQYN6oDh8BKsPHdOA3R3sdSQ3FUTWK/YlCo55E0kKs2WOHAiOAAjM7iaDpCaAv0BOrzfwH8I/Ak1FllwG/d3cHXjezfmY2zN0398D1JIk6ahT1Ta3UhU1PHWUiktpivVMvAq4ByoBfRJXXATcfzUXN7DJgo7u/fdBcPyOADVHb1WGZEkWai+6jaGgJOrMLc7OSGZKIxKnLROHu9wP3m9nl7v7nwz2xmc0Ghnay6xaCRHPh4Z7zoPNPJ2ieory8/GhOJQlQnBf0R9Q1tbKvuQ0zyMuOp+VTRJItVtPT5939AaDCzP7+4P3u/otOXha9//wuzjuZYC2LjtpEGbDAzKYBG4GRUYeXhWWdnX8GMAOgqqrqkDvHJbUU5QW1h/rG4D6KwpwszRwrkiZiNT0VhT/79OQF3X0RwcSCAJjZWqDK3WvMbCZwvZk9ApwG1Kp/IjNkZ0UoyMmivqmFfS1tFOSqf0IkXcRqeror/PmDxIXDM8AlwGqgAbg2gdeWXtYnP5v6plYaW9opyFWzk0i6iOfO7EHAV4GK6OPd/cs9EYC7V0Q9d+C6njivpJ7ivGzqGltpaWunMEc1CpF0Ec+79UngZYIlUdt6NxzJZB01irZ2p0AjnkTSRjyJotDd/6nXI5GMV5ibxd6mVtw1NFYkncTTUPyUmV3S65FIxsvPyaKxpT3ozM5RohBJF/Ekim8QJIt9ZrbHzOrMbE9vByaZJz87i6bWNvY1t6npSSSNxLMehdarlB6RnxOhsaWd5tZ2NT2JpJF4Rj11NoNrLbDO3bXSncQtaHpqo7GljULdRyGSNuJ5t/4ncDKwKNyeDCwGSszsa+7+l94KTjJLXnaEptagjyJffRQiaSOePopNwEnufoq7nwJMBd4DLgB+1pvBSWbJzwlGPbW0uZqeRNJIPIlinLsv6dhw96XABHd/r/fCkkyUl5NFa3swLZcShUj6iKfpaYmZ/QZ4JNy+AlhqZnlAS69FJhknP+fA9xLNHCuSPuJ5t15DMPfSN8PHe2FZC3BubwUmmScv+0AtIidLiUIkXcQzPHYf8PPwcbD6Ho9IMlZuVC0iW4lCJG3EMzy2EvgJMAnI7yh39zG9GJdkoJzIgfUncrK0FoVIuojna919wG+AVoKmpt8DD/RmUJKZomsRanoSSR/xvFsL3P0FwNx9nbvfCny0d8OSTBRdi1CiEEkf8Yx6ajKzCLDKzK4nWJq0R1e9k2NDdiS6RqGmJ5F0Ee+kgIXAjcApwBeAL/VmUJKZslWjEElL8Yx6ejN8Wo+WJpWjoKYnkfTUZaIws5mxXujuHz/Si5rZrQTLq24Pi25292fCfd8BvkKIiF3QAAAOBklEQVSwmt6N7j7rSK8jqSW66SlbTU8iaSNWjeIMYAPwMPAG0NPv7P9w93+PLjCzScCVwPHAcGC2mY1zdy3BmgGik0OuahQiaSPWu3UocDNwAvD/CCYBrHH3l9z9pV6K5zLgEXdvcvc1BHeET+ula0mCRTc3qUYhkj66TBTu3ubuz7n7l4DTCT60XwxHPvWE683sHTO718z6h2UjCGoxHarDMskA2RH1UYiko5jvVjPLM7NPEdxgdx1wJ/B4PCc2s9lmtriTx2UEN/AdRzBl+WY6nx6ku/NPN7N5ZjZv+/bt3b9Aki46OajpSSR9xOrM/j1Bs9MzwA/cffHhnNjdz4/nODP7LfBUuLkRGBm1uyws6+z8M4AZAFVVVX44sUlyRDc3qelJJH3E+lr3eaCS4D6KV81sT/ioM7M9R3NRMxsWtflJghXzAGYCV4Y1mdHh9ecezbUkdUSPesqKKFGIpIsuaxTu3pttAz8zs6mAA2uBvwuvucTMHgWWEswtdZ1GPGWO6PsoskyJQiRdJGWFe3f/Qox9twG3JTAcSZDoSQFNiUIkbahHURImeppxtTyJpA8lCkmY6H4J6/H7N0WktyhRSMJEopublCdE0oYShSRMdJ5Q05NI+lCikISJ7sBWZ7ZI+lCikIRRjUIkPSlRSMJE91GoM1skfShRSMJEpwa1PImkDyUKSZj31SiUKETShhKFJMz7R8cqU4ikCyUKSRh1ZoukJyUKSZjoWoSGx4qkDyUKSZiIahQiaUmJQhJGN9yJpCclCkkY1SJE0pMShSSMahEi6UmJQkREYlKiEBGRmJKWKMzsBjNbbmZLzOxnUeXfMbPVZrbCzC5KVnwiIhJIyprZZnYucBkwxd2bzGxwWD4JuBI4HhgOzDazce7elow4RUQkeTWKrwE/dfcmAHffFpZfBjzi7k3uvgZYDUxLUowiIkLyEsU44Cwze8PMXjKzU8PyEcCGqOOqwzIREUmSXmt6MrPZwNBOdt0SXncAcDpwKvComY05zPNPB6YDlJeXH12wIiLSpV5LFO5+flf7zOxrwGPu7sBcM2sHSoGNwMioQ8vCss7OPwOYAVBVVeU9FbeIiLxfspqengDOBTCzcUAuUAPMBK40szwzGw1UAnOTFKOIiJCkUU/AvcC9ZrYYaAa+FNYulpjZo8BSoBW4TiOeRESSKymJwt2bgc93se824LbERiQiIl3RndkiIhKTEoWIiMSkRCEiIjEpUYiISExKFCIiEpMShYiIxKREISIiMSlRiIhITEoUIiISkxKFiIjEpEQhIiIxKVGIiEhMShQiIhKTEoWIiMSkRCEiIjEpUYiISExKFCIiEpMShYiIxJSURGFmfzCzheFjrZktjNr3HTNbbWYrzOyiZMQnIiIHJGvN7Cs6npvZz4Ha8Pkk4ErgeGA4MNvMxrl7WzLiFBGRJDc9mZkBnwUeDosuAx5x9yZ3XwOsBqYlKz4REUl+H8VZwFZ3XxVujwA2RO2vDstERCRJeq3pycxmA0M72XWLuz8ZPr+KA7WJwz3/dGA6QHl5+RHFKCIi3eu1ROHu58fab2bZwKeAU6KKNwIjo7bLwrLOzj8DmAFQVVXlRxWsiIh0KZlNT+cDy929OqpsJnClmeWZ2WigEpiblOhERARI0qin0JUc1Ozk7kvM7FFgKdAKXKcRTyIiyZW0ROHu13RRfhtwW2KjERGRriR71JOIiKQ4JQoREYlJiUJERGJSohARkZiSOepJjkG//WIV7rrtRSSdKFFIQl0waUiyQxCRw6SmJxERiUmJQkREYlKiEBGRmJQoREQkJiUKERGJSYlCRERiUqIQEZGYlChERCQmy4S7ZM2sDliR7DjiUArUJDuIOCjOnpUOcaZDjKA4e9p4dy/u7qBMuTN7hbtXJTuI7pjZPMXZcxRnz0mHGEFx9jQzmxfPcWp6EhGRmJQoREQkpkxJFDOSHUCcFGfPUpw9Jx1iBMXZ0+KKMyM6s0VEpPdkSo1CRER6SVolCjO72MxWmNlqM/vnGMddbmZuZkkZdRBPnGb2WTNbamZLzOyhRMcYxhAzTjMrN7O/mtlbZvaOmV2SjDgPZmb3mtk2M1uc7Fg6dBeTmX0u/DdcZGavmtmURMcYxhHXv52ZnWpmrWb26UTFFnXtbmM0s3PMbGH4/nkpkfFFxdDd/3mJmf2Pmb0dxnltomPsipmNDN/bHZ9B34j5AndPiweQBbwLjAFygbeBSZ0cVwz8DXgdqErFOIFK4C2gf7g9OEXjnAF8LXw+CVib7L+DMJYPAScDi5MdS7wxAR+I+v/+CPBGKsYZ9bfxv8AzwKdTLUagH7AUKA+3E/7+iTPOm4F/C58PAnYCucmItZPYhgEnh8+LgZWdfZ52PNKpRjENWO3u77l7M/AIcFknx/0I+DegMZHBRYknzq8Cv3b3XQDuvi3BMUJ8cTrQN3xeAmxKYHxdcve/EbzpUkZ3Mbn7qx3/3wRfYsoSEtihccTzb3cD8GcgGX+X8cR4NfCYu68Pj0/VOB0oNjMD+oTHtiYitu64+2Z3XxA+rwOWASO6Oj6dEsUIYEPUdjUH/WJmdjIw0t2fTmRgB+k2TmAcMM7MXjGz183s4oRFd0A8cd4KfN7Mqgm+Xd6QmNAy3leAZ5MdRGfMbATwSeA3yY4lhnFAfzN70czmm9kXkx1QF34FTCT4grUI+Ia7tyc3pEOZWQVwEvBGV8dkyp3ZmFkE+AVwTZJDiUc2QfPTOQTfLP9mZpPdfXdSozrUVcDv3P3nZnYG8N9mdkIq/rGnCzM7lyBRfDDZsXThDuCf3L09+CKckrKBU4APAwXAa2b2uruvTG5Yh7gIWAicBxwHPG9mL7v7nuSGdYCZ9SGoPX4zVlzpVKPYCIyM2i4LyzoUAycAL5rZWuB0YGYSOrS7ixOCb+8z3b3F3dcQtA9WJii+DvHE+RXgUQB3fw3IJ5jDRo6AmZ0I3A1c5u47kh1PF6qAR8L30KeB/zSzTyQ3pENUA7Pcfa+71xD0SSZlcEA3riVoInN3Xw2sASYkOab9zCyHIEk86O6PxTo2nRLFm0ClmY02s1zgSmBmx053r3X3UnevcPcKgnbgj7t7XHOZJCrO0BMEtQnMrJSgKv1eIoMkvjjXE3xrw8wmEiSK7QmNMkOYWTnwGPCFFPzmu5+7j456D/0J+Lq7P5HksA72JPBBM8s2s0LgNII29lQT/f4ZAown8e/zToX9JvcAy9z9F90dnzZNT+7eambXA7MIRmXc6+5LzOyHwDx3P/hDLinijHMWcKGZLQXagJsS/Q0zzjj/AfitmX2LoGPuGg+HSSSTmT1MkGhLw/6T77v7PakWE5AD4O7/BXwPGEjwDR2g1ZMwaVwccSZddzG6+zIzew54B2gH7nb3hA+VjuPf8kfA78xsEWAETXqpMqPsmcAXgEVmtjAsu9ndn+nsYN2ZLSIiMaVT05OIiCSBEoWIiMSkRCEiIjEpUYiISExKFCIiEpMShaQ1M2sLZxHteFQkO6aeZGYnmdk9UdsXm9lcM1se/r5/CO/RwMx+d/Bsr2ZWH+PcuWb2NzNLm2Hykhz6A5F0t8/dp3a108yy3T0lJmI7QjcDPwYwsxOAXxLcSLosLPs4UEFwc9dhcfdmM3sBuAJ4sKcClsyjGoVkHDO7xsxmmtn/Ai+EZTeZ2ZvhmhA/iDr2FjNbaWZzzOxhM/t2WP5ix/QvZlYaTmmBmWWZ2e1R5/q7sPyc8DV/Cr/tPxje/dqxtsOr4boEc82sOPwmPzUqjjl20BoVZlYMnOjub4dF/wT8a0eSAHD3meEspt39m/wwqta10czuC3c9AXzusP6B5ZijGoWku4KoO0vXuPsnw+cnE3zI7jSzCwnm0ppGcIfsTDP7ELCXYOqSqQTvhQXA/G6u9xWg1t1PNbM84BUz+0u47yTgeILZQl8BzjSzucAfgCvc/U0z6wvsI5g+4Rrgm2Y2DsiPSggdqoDoO46PB/69m/huN7N/ObjQ3b8HfM/M+gEvE8xsSnj+U7s5pxzjlCgk3XXV9PS8u3esFXBh+Hgr3O5DkDiKgcfdvQHAzOKZBuZC4MSovoCS8FzNwFx3rw7PtZCgSagW2OzubwJ0zNBpZn8EvmtmNwFfBn7XybWG0cXcWmY2kKC2VAjMcPeOBHKTu/8p6rj6qOcGPAD8wt3nh/G0mVmzmRWH6xKIHEKJQjLV3qjnBvzE3e+KPsDMvhnj9a0caJrNP+hcN7j7rIPOdQ7QFFXURoz3l7s3mNnzBItFfZZg2uyD7Tvo2ksIakpvh3ODTQ2byvrE+D2i3QpUu/t9B5XnkbyFviQNqI9CjgWzgC9bMPc+ZjbCzAYTTE/9CTMrCPsDLo16zVoOfHh/+qBzfc2CKZoxs3FmVhTj2iuAYWZ2anh8cdQoo7uBO4E3o1a/i7YMGBu1/TPgFgtm8u1QGOPa+5nZpcD5wI0HlQ8Eaty9JZ7zyLFJNQrJeO7+l/DD9bWwf7ke+Ly7LzCzPxCsF76NYOr1Dv8OPGpm04HoFRPvJmhSWhA25WwHulyvIRxZdAXwSzMrIKglnA/Uu/t8M9sDHPwNv+O1y82spKNZyN0Xmdk3gN+HfR01BKOdvh/HP8PfE6xgODf8N5gZ9luce9DvJ3IIzR4rEjKzWwk+wLvrMO6p6w0HXgQmdLVqoAVTvNe5+929FMNjwD+n8hoZknxqehJJAgvWeX4DuKWbpWV/w/v7PnoyhlzgCSUJ6Y5qFCIiEpNqFCIiEpMShYiIxKREISIiMSlRiIhITEoUIiISkxKFiIjE9P8BvFgQcJtl3B8AAAAASUVORK5CYII=\n", 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\n", 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