{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "2-Port Network: 'BFU520_05V0_005mA_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", "from skrf.media import DistributedCircuit\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 = DistributedCircuit(f, z0=50)\n", "\n", "bjt = net.Network('BFU520_Spar_NF_400MHz-2GHz/BFU520_05V0_005mA_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": [], "source": [ "# let's add an inductor to the emitter\n", "# to do this we need a function that lets you combine two port networks in series\n", "# so we can model it\n", "from scipy.interpolate import interp1d\n", "\n", "def series(a, b):\n", " newz = a.z + b.z\n", "\n", " ret = net.Network.from_z(newz, frequency=a.frequency)\n", " noiseless = not a.noisy and not b.noisy\n", " if noiseless:\n", " return ret\n", " if a.noisy:\n", " an = a.n\n", " af = a.f_noise\n", " else:\n", " an = np.zeros(b.n.shape)\n", " af = b.f_noise\n", " if b.noisy:\n", " bn = b.n\n", " bf = b.f_noise\n", " else:\n", " bn = np.zeros(a.n.shape)\n", " bf = a.f_noise\n", "\n", " if bf != af:\n", " # TODO interpolate noise values for b into a frequency ranges\n", " # bn = ??? \n", " raise NotImplementedError\n", "\n", " a_real = interp1d(a.frequency.f, a.a.real, \n", " axis=0, kind=net.Network.noise_interp_kind)\n", " a_imag = interp1d(a.frequency.f, a.a.imag, \n", " axis=0, kind=net.Network.noise_interp_kind)\n", " a_abcd = a_real(af.f) + 1.j * a_imag(af.f)\n", "\n", " b_real = interp1d(b.frequency.f, b.a.real, \n", " axis=0, kind=net.Network.noise_interp_kind)\n", " b_imag = interp1d(b.frequency.f, b.a.imag, \n", " axis=0, kind=net.Network.noise_interp_kind)\n", " b_abcd = b_real(bf.f) + 1.j * b_imag(bf.f)\n", "\n", " # calculate noise\n", " # based on https://onlinelibrary.wiley.com/doi/pdf/10.1002/9781119073093.app3\n", " a1 = 1\n", " b1 = (b_abcd[:,0,0] - a_abcd[:,0,0])/(a_abcd[:,1,0] + b_abcd[:,1,0])\n", " c1 = 0\n", " d1 = b_abcd[:,1,0]/(a_abcd[:,1,0] + b_abcd[:,1,0])\n", "\n", " a2 = 1\n", " b2 = (a_abcd[:,0,0] - b_abcd[:,0,0])/(a_abcd[:,1,0] + b_abcd[:,1,0])\n", " c2 = 0\n", " d2 = a_abcd[:,1,0]/(a_abcd[:,1,0] + b_abcd[:,1,0])\n", "\n", " ee = (a1*np.conj(a1)*an[:,0,0] + b1*np.conj(b1)*bn[:,1,1] +\n", " a2*np.conj(a2)*bn[:,1,1] + b2*np.conj(b2)*bn[:,1,1] +\n", " a1*np.conj(b1)*an[:,0,1] + b1*np.conj(a1)*an[:,1,0] +\n", " a2*np.conj(b2)*bn[:,0,1] + b2*np.conj(a2)*bn[:,1,0])\n", " ii = (c1*np.conj(c1)*an[:,0,0] + d1*np.conj(d1)*an[:,1,1] +\n", " c2*np.conj(c2)*bn[:,0,0] + d2*np.conj(d2)*bn[:,1,1] +\n", " c1*np.conj(d1)*an[:,0,1] + d1*np.conj(c1)*an[:,1,0] +\n", " c2*np.conj(d2)*bn[:,0,1] + d2*np.conj(c2)*bn[:,1,0])\n", " ei = (a1*np.conj(c1)*an[:,0,0] + b1*np.conj(d1)*an[:,1,1] + \n", " a2*np.conj(c2)*bn[:,0,0] + b2*np.conj(d2)*bn[:,1,1] + \n", " a1*np.conj(d1)*an[:,0,1] + b1*np.conj(c1)*an[:,1,0] + \n", " a2*np.conj(d2)*bn[:,0,1] + b2*np.conj(c2)*bn[:,1,0])\n", " ie = np.conj(ei)\n", "\n", " ret.noise = np.moveaxis(np.array([[ee, ei], [ie, ii]]), 2, 0)\n", " ret.noise_freq = af\n", " return ret" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(58.285348012831371+12.185071598304109j)" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "bjt_degen = series(bjt, tem.shunt_inductor(1e-9))\n", "bjt_degen.plot_s_smith()\n", "\n", "idx_900mhz = skrf.util.find_nearest_index(bjt.f, 915.e+6)\n", "bjt_degen.z_opt[idx_900mhz]" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(3.048555602935056, (3.001540263823371+2.6459699316881777j))" ] }, "execution_count": 5, "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_degen.f, 915.e+6)\n", "\n", "sqabs = lambda x: np.square(np.absolute(x))\n", "\n", "delta = bjt_degen.s11.s*bjt_degen.s22.s - bjt_degen.s12.s*bjt_degen.s21.s\n", "rl = np.absolute((bjt_degen.s12.s * bjt_degen.s21.s)/(sqabs(bjt_degen.s22.s) - sqabs(delta)))\n", "cl = np.conj(bjt_degen.s22.s - delta*np.conj(bjt_degen.s11.s))/(sqabs(bjt_degen.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": 6, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "" ] }, "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": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(3.267143687859595, (1.6731769925739743-1.6577383735222198j))" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "rs = np.absolute((bjt_degen.s12.s * bjt_degen.s21.s)/(sqabs(bjt_degen.s11.s) - sqabs(delta)))\n", "cs = np.conj(bjt_degen.s11.s - delta*np.conj(bjt_degen.s22.s))/(sqabs(bjt_degen.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": 8, "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": 9, "metadata": {}, "outputs": [ { "data": { "image/png": "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\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": 10, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAO4AAADuCAYAAAA+7jsiAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMS4xLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvAOZPmwAAIABJREFUeJzsnXd4VNXWxn8zmZlMMpPee0ghAQIEEsCA9CpVBBS8IgI2FKwoIl4QRQUsiFJFFBAB6UUEpBcpCSVASCG99zop08/3x8BgLi1UwY/3ec4zkzlnt5PznrXX2mutLRIEgUd4hEd4uCD+pzvwCI/wCLeOR8R9hEd4CPGIuI/wCA8hHhH3ER7hIcQj4j7CIzyEeETcR3iEhxCPiPsIj/AQ4hFxH+ERHkI8Iu4jPMJDiFslrvCgH4IgCKN+ihbCpu0SjhVUCr4Hzgpj49IFQRCE/PxNwt59gUJa+nfm60+cOCF8/PHHwr59+66qq3JXhpDzwWGhckf6ddvLT04S5o8ZLiweN0oozcluUB91GoOw5+d4Yf6r+4Rt38UKddXaOxuzViuULFokJLYMFxJbtRZKFi4UjGr1fb/3ar1a2JS8SRjx+wih+fLmQsQvEcKkQ5OE6PxowSgY//Fn4yE5GgRJQy98WLDrQgEHLxbzUb8mfJFXhMJCzMzG3tTVZZF0cRr29m1p5P86ANnZ2ezatYuQkBC6dOlSr57qo3mo9mejaOuObR//a7aVFXeOzbM/wdrenmEffYadq9tN+1dRVMuORecpy6+hTf9GRPb1RywW3fZ4a2NiyP94OtrUVGx69cJt8gdIPTxuu77bQY4qh7VJa9mYspFKTSVB9kF80PYD+gf0x87S7r725aGEQQ/lGVCaDCFPNKjIv4q4ap2BGdsTCHGzwbKRLdHJOcwJ9cFZKubU+fcQicQ0a/o1IpEFNTU1rFu3Djs7O5588knE4iuTj7oLpVRsS0Xe1An7J4MQia4mVvqZk2z5+jPs3TwYOuVTlI5ON+1fVnwpf/54AUQwYHxLfJvdvMz1oC8vp+jLr6jcuBGplxc+ixeh7Nz5tuu7VRgFI0fzjrImcQ2Hcg4hFonp5tuNEaEjiHSLvOY9+3+P2jIoSTYRtOQilKSYvpelgVFvuubjygZV9a8i7s9/ZZBTXsf8UZFMTM/nMTsFz7g7kpW1hMrKUzRt+jVyuSdGo5ENGzZQU1PDiy++iJWVlbkObbaKsjWJSL1tcBweguga0jDtdAxbv/4MJx8/hk75FCsb2xv2SxAEYvdkc2xjCg4eCvqOa4Gdi9UNy9yorsqNmyj68ksM1dU4vfQSzq+NQ2x1e/XdKqq0VWxJ2cKaxDVkqbJwlDvyUouXGNZ4GO4K9/vShwceGhUUJUBhHBReMB0lF6G29Mo1Yik4BoBzYwjtB07B4Bzc4Cb+NcQtVmmYvz+F7qGu/IkGlcHAzBBvamuSSU2bg4tLL9zdBgFw8OBB0tLSGDBgAB5/m1bqy9SULL+A2EaG86imiGUWV7WTeuoEW7/+Ahc/f4ZOmYFcqbxhv/RaA/t/TeTiiUICW7nQbVQTZPLbu+2atHQKpk2jNiYGq9atcf94GvLGjW+rrltFbnUuK+NXsjF5I7X6Wlq6tOS18Nfo6dcTmYXsvvThgYPRYJri/p2ghXGm3y5DZgNuTSG0v4mYlwlq7wcWt0+/fw1xv9l9EbXOwBOP+zE+O483fF1pbCXh5KmJSCRKQkM+RSQSkZyczMGDBwkPD6d169bm8sZaHSU/xyEYBFxGN8NCefXDmHLyBNu++QIXv0YM/ehT5Iobk1ZVpmbHovMUZ6loN7AREU/439YUUtDrKf35Z0q+n4fIygqPGZ9i99RTiMT3flHgfPF5lscvZ3fmbsSI6d2oNyObjqSZU7N73vYDBaPRNK3NOwO5pyHvtImoulrTeZEYnILAsxW0eg7cwsCtGdj5wD1QG/4VxE0sqOK3mCxGRvkxt7QUH7mMt/zdycj4HpXqAs3DFiCTOVNRUcHGjRtxdXWlb9++ZhIJOiMlK+LRl6lxebE5Uhfrq9pIiTnOtjkzcfVvxJApNydtQVolfyw6j15roO+45jRq6XJbY1MnXST/ww9RX7iATc+euE/9LxKX26uroTAKRg5kH2D5heWcLjqNUqpkVNNRPNvk2f8f02FBMEnNvDMmgubFmg6tynReqgCPltB6FLhfIqhLKEjvj7oC/wLiCoLAjN8TsJFLsW7sQHJ+MStbBKCvuUBG5nzc3Z7E1bU3BoOB9evXYzAYePrpp5HJZObyZesvos2ownFECJaNrraCmkj7BW6Nghgy5RMsrRU37FPyyUL2Lk9AYSfjybda4eh54+uvOS6tlpIfllCyeDEWNjZ4ffsttn1633I9twKNQcOWlC2siF9BZlUmngpP3m/zPk8FP4VCeutjeGigqYacGMg+AdnRJsLWlZnOWcjAvTm0HG6Spl6tTXqp+Go16n7ioSfu/qQijqSU8FafEOYWltLPxY5uDpZEx7yHTOZC48ZTAZNem5OTw9ChQ3F2djaXV+3Lpu5sMba9/bFu6XpV/emxp9g2Z2aDSCsIAqd2ZnJiSxoegXY8Ma45VteYct8MdefjyJ8yBc3Fi9gOGIDbh5ORODjccj0NRa2ulrVJa1kev5ySuhLCnML4stOX9PDrgUT80D8iV6MqD7KOm4iadQwK4kAwACKT9AztZyKoZ2twbQqSB0+Hf6j/K0ajwOydSfg7WZPkLMFYKjAt0JOMzMXU1CTTssWPSKV2ZGRkcOjQIcLDwwkLCzOXr7tQQtXuTKxbuWLTxfuq+rMvnGPrV5/h7OPHUx9OvyFpDXojB1Ymkni8gMZt3eg2sgkW0lvTQQWdjuIFCyj9YQkSJye8FyzAplvXv43XSElJCfn5+eTn55OXl0d+fj5ZWVnk5OSgVqvR6XTo9Xq0Wi06nQ5LS0skEglSqRSpVIq1tTW+vr74+Pjg4O5Ask0yR2qPUG2opp17O2Z1nEUb9zb/nuUcoxGKE00EzToO2cehIst0TmoNXhHQ8V3wbQfebUD+cKw7P9TE3XYuj8QCFW8NasLM4gre8nPDyZjNiYyFuLkNwNm5K3V1dWzcuBFHR0eeeOLK4rauoIay3y4i9Vbi8NTVa7V5FxPYNOsT7NzcGTLlkxvqtOoaHTsWnScvuYI2/RvRpt+tG6E0qankvfc+6vh45E88QXq3rmyIPsHRb+eQkpJCYWEhFRUVyGQyFAoFCoUCpVKJvb09Hh4eBAUFoVAosLS0RCaToVarmTlzJp9//rmZ0FqtFpVKRXpROkctjqJ10CJCRF1cHcXbiklMTWSrw1bc3d1p0qQJHTp0ICIigvDwcBSKh2SqLAimddH0Q1eO2hLTOaUb+LSDduNMRHVvARbSf7a/twnRLSaLu6WL7yV0BiM9vjmItcwCY3s3CrQ6/mobQuK5/1BTk0LUY38ilTqxbt06EhMTGTt2LF5eXgAYanQUzY9F0BlxGx+OhZ1lvboL01JY+8mHWNvZ8czHs1A6OF63H1UldWz7/ixVpXV0G9mEkHa3ZrwpKy0l6Zs52GzejFoQmKWqYkthIS4uLnh6ehIZGUlERARNmjShefPm2NreeM34MkpKSvDy8kKj0VwZV00hP8X9xIbkDWgNWnr79+bF5i8S4hhiLnPu3Dni4+OJiYnh7Nmz5OfnU1ZWhqenJ4899tiDSebKXMg4DGkHTUStyjH9buMBjTpDo47g1wEc/O+Jhfcuo0EdfGiJu/J4Jh9tjmP0oFAWqlV818SX9oadJCX9lyahs/D0HMrp06fZunUrPXr04PHHHwdAMBgpWRqHJrMKl1daYOlbnwglWRn89smHSC0tGT59FrbOV+u9l1GcpWLbvLMY9Ub6vtYCzyD7m/ZbrVazb98+Nm7cSPQff/C2RMpj1tbEWlhwsl1buj71FL169TIbz24XVVVVODk5odPpKKkrYen5paxNWotRMNI/sD9jw8bib+ffoLqqq6vZtm0bO3fuJDY2loKCAsrKyvD29mbw4MEMHjyYqKgoJJL7NIFTV0HaAUjbbyJqaYrpdytHE0kbdTIR1inoYSDq/+LfS1y1zkCn2fvxcrAitYUtXnJLNobZcuJEb2xtwmjVaiWlpaUsXrwYb29vRo4caXZpLN+SQs2xfByGNUYRUd+3uLKokNVT3wPgmY9n4uDued0+ZCeUsWPReSwVEgZMCMfR4/rSp7i4mO3bt/Pbb7+xf/9+HB0dGRsczDOVVUhEItwmf4D9sGF3Va9Uq9XYutkyc+9MVieuRmfUMTBwIK+0fAUvpdcd119dXc26detYsWIFcXFx1NXV0b9/f4YNG0avXr2wsbG5C6O4BEGAonhI/hOS95j0VKMeZEqTJG3UyXS4hcF9WNu+x/j3EnfxwVS+2JHIoAGN+U1bw++tg5FlvUdp6X7atf0DS0tfli5dSnl5OePGjTNPL2tiCijfkIzycS/s+wfUq7O2qpI1U9+ntqqC4R/PwtnX/7rtX4wuYO/yBBzcrek/PhylQ/2ptiAIJCUlsXnzZtasWUNCQgI+Pj5069aNd8a9hs3qVVRt3YZVq1Z4zpqJzNf3rt6fKm0Vy+KWsSh6ERIrCf0C+vFqy1fxs/W7q+38HceOHWPOnDkcP36cwsJC2rVrx/DhwxkwYAA+Pj63XuFlqZqy20RWVZ7pd7cwCOoBwT1N+upDqqPeAA17ewuCcCvHP46qOq3Qcvou4ZklxwS/A7HCuAsZQlHRbmHP3gAhPX2BIAiCcPDgQWHatGlCXFycuZwmRyVkTzksFP14TjDqjfXq1NTWCL988Jbw7X8GC9kJccKNcGZ3pjDvlb3Cxq9OCeoabb1z1dXVwuLFi4Xg4GBBqVQK4eHhwowZM4TKykpBEASh9nyckNyrlxDfpKlQ9P08wajX341bcqV9bbWwMHahEPVrlBC2LEzwn+AvHIw7eFfbaAiys7OFd955RwgNDRXkcrnQrl07Yd26dYJWq71xweKLgnB4jiD81FcQpjsKwjRbQfjcWxDWPCcIp5YLQmXu/RnAP4sGcfGhI+78/cmC36TfhTFHEgXv/bFCmqpSOPJXJ+HY8d6CwaAV8vPzhenTpwtr1641lzHUaIW8WdFC3ufHBb1KU68+nVYrrP10ivD18AFCysnj123XaDQKR9YnC/Ne2SvsWHxO0GmvkC4hIUEYN26cYG1tLfj7+wuff/65oNPprpQ1GISSpT8J8WHNhYuduwg1MTF38Y4IglavFVbGrxQ6ru4ohC0LEybsnSAkliYKnp6ewu7du+9qW7cKlUolvPHGG4KHh4fg4OAg/Pe//xVycnJMJw0GQcg+KQi7pwnC95Emok6zFYQF7QXhz6mCkH5YEPQ3Ifu/Dw3i4kO1HFSr1fPj4XTaBjmxU1fHC57OCMXLUatzaBX+C4IgZvPmzVhZWdG3b1/gkmfUuosYKjS4vNKing+yYDSyc/43ZJ2Ppfe4twiMaHfNdo1GgYOrkog/kkdYZy86PtMYg0HPhg2b+eqrrzh37hwRERHs2bOHqKioemX1paXkfTCZmsOHUfbojueMGVjY39yI1RAIgsCuzF18d/o7slXZtHNvx1sRbxHmbFqrdnJyIiMj4660dbtQKpXMnTuXuXPnsmnTJj7/dDqn133FuK6+9PDWYKktA5EF+D8ObV4yxaPa38bU+v8ZHirirjqRRVmNFiHQFkuxnlfdjaScXoira18cHdtz4MABCgoKeOaZZ8xLFdWHclAnlGHXPwBLv/oW5AMrfiTp2GE6/Wc0YV16XLNNg8HInp/jSTlZRMQTfgRE2fDxx9OYN28elpaWDBs2jN27d6O8RpRQzbFj5L7/PsbKKtym/heHESPumgEqpiCGb05+Q1xpHMEOwSzssZAOnh3q1e/i4kJWVtZdae+OoKmGlN0MNm5n8LAy0EhRG4v4M97Anlwrmgx8k5FD33hwlpceAjw0xFXrDCw+lEZzP3sOo+UdHzfKMz8FxAQHTSY/P59Dhw7RvHlzmjRpAoAmrYLKXRlYNXdG2aG+hfj0jq2c3rGV1n0H0WbgkGu2qdca2LkkjszzpbTu680fJ5fz9bNfExgYyJIlSxgy5NrlBKORkkWLKPl+HrJGjfD98UfkISF35T4klycz59QcDucexs3ajRkdZtA/oD8W1/CddXNzIy8v7660e8vQ1ZmswHEb4OKfoK8DaydoOgBC+yMP6EI/C0sy5s9n9pw5fPjpl3z22We8+OKLSKX/OoPTXcdDQ9y1J7MpVmlwjHTFUSriGUUKKem7CAh4B4nElc2bl2BtbW32jjKotJSuTkTiaIXDkOB6kigl5jj7ly8hqE0UnUeOuWZ7WrWePxacIze5AoN7Ln1GDsbd3Z3t27dflebm79CXl5M3aRI1hw5j278/HtM/RnwXJElJXQnfn/mezSmbUUgUvB3xNs+GPotcIr/m9YIg4ObmRkJCAunp6ahUKqqrq82farUao9FY7xCLxebDwsICKysrlEolNjY22NjY1Pt+TXLpNZCyFy5shKQdoK0GhQu0+g80Gwy+UfWc88XAhAkTmDBhAitWrGDy5MnMmDGDb775hmHDhtXLSvII9fFQLAdp9Ua6fLkfhVLG+WZKPglyp3ne8wiCnnZtd3L48DEOHDjAiBEjCAkJQTAKlPx4Hm22CtfXw5G6XyFOQWoyv03/AGdvX56e9gVSy6sffHWNjm3fx1KUUcWmkwu4WBTDl19+yTPPPHPDftadjyP3zTfRFxfj9uFk7IcPv+OpsdagZWXCSn449wMag4YRoSN4ufnL2Muv6Mm1tbX1fJcLCwtRqVTExcURGxvL+++/fxXxLC0tsbCwMBNVJBIhCIKZxAaDgdra2qsIr1KpUKlUSCQS7Ozs8HBzJkRagE9VDIqs/Yg0VWDlAE0GQthT4Pf4LQWMz549m9mzZ+Pi4sJ3331Hz5497+j+PYRo0APzUEjcTWdyyKtU49vCES+5jK7CH2TVptGyxY+UlVVx+PBhwsLCCLk0HVUdyEaTVonD0Mb1SFtVXMSmWdOxtrXnyfenXpO0dSotKz89RG2FgfUnvmXomD68+eaGG/ZPEAQq1qyh8PMvsHBxxm/Vr1g1b35HYxYEgf3Z+/nq5Fdkq7Lp4t2FiW0m4iZzIycnh/P5581kVavVeHh44OHhQZMmTejatSu2trb88ccfHD9+nBdeeOGO+nJV34xGtKlH0J9eiWXiDiTaKrQiOedFQWTaRmDw74i7qw+eEk88hVt7yN5//30mTpzIxIkTGTp0KGFhYXz77be0adPmro7hYccDL3GNRoGecw6iF0FSuB1fBDkRkDEQO9tWtGz5E8uWLaOwsJDx48ejVCrRZFVRvOgsVs1dTDmjLkk8dU01a6a+T3V5KSM++Qon76stl/Hnktjw9UlsZE5U2MUxdfY7N52uGevqyJ82jaqt21B06ojnrFl3HIKXXJ7M7JjZHM8/ToBdAK81eQ37CnuSkpLIzc3Fw8MDT09P86ejo+M1JXtsbCxdu3alvLz8jvpjRnkmnPsNzq42OfJLrSGkr0myBnbHIJZSXFxslvx5eXmUlpYSEBBA48aNady4MdbWVycpuB5qa2t55ZVX2LRpE71792bRokW43OMkAg8A/h2eU/sSCxmz7CTebd2pc5ez3HkLhTk/067t7yQn17JlyxYGDBhAREQERrWewu/OgFHA7a3WiC/ldjIaDGyaNZ2suHMMnfIJPs1a1GvDaDQy9+t5lMQocHPwoe+4FgSF3zxYQJebS/b4CWgSE3GeMB7nV1+9o3QyFeoK5sfOZ93FdVhZWNFL2QuXPBfqquto3LgxISEhBAQENNiPuaamBnt7e8rLy69p9W4QNCqI3wKxqyHziOk3/47QcgQ0HQiWN3ZtrKmpITk5mYsXL5KWloabm5t5LH+Pi74RSkpKGDBgAAkJCSxduvS6RsF/Cf4dU+UfD6fjoJSRYidmuoeEoowVeHoMRSTy5s8/5+Hr60urVq0AqNiSiqFcjcsrLcykBTj0689knD1Nz5cnXEXalJQURj03lu6NRuPl7MOA8a3waXr9aKDLqImOJvfNtxD0elNq1E6dbnuMRsHI5pTNfBXzFdW6ahrXNSbKGEVLt5aE9A/By8vrtgw1CoUCV1dXDh48SL9+/W6hQwZIP2gia8I2k0XYMRC6fgQtnwH7hrtoKhQKwsPDCQ8PR6/Xk56eTlJSEitWrEAmk9G0aVMiIiKws7t+HKyzszPHjh3jhx9+YOzYsfzyyy8sWbLk/4P0vS4eaOJeyKvkaGopHi2c8bCSEVm9gCqRhICAt9i+fRcajYb+/fsjFoupjS2i9kwRtj18sfS/8hDEHdjDqe2bafXEAFp0v5L6xWg0MnfuXL6Y8SXvDp6LvZULfV9vgU/ojUkrCALlq1ZR+IXJx9h7/jwsGzW6/TEWX+C/B/9Lck0ybjo3xvuNp09EHxwdb/7yaAhCQ0M5cuRIw4hbkQWnf4EzK02+wXI7U8qW8GdNQeZ3aGiTSCQEBwcTHByMIAjk5+dz9uxZFi1ahL+/P5GRkQQEBFzXoPfyyy8zdOhQ+vXrR3Bw8P8H6XtdPNDE/fFwOnKZBenOUj5y0VGR/Tv+/uPJza3h3LlzdOrUCVdXV/Rlaso3pSDzs8Wm6xVpkJuUwJ4l8/BtHk6XkS+af09JSWH48OGUFJbz2dhfMNZZ0O/1FnjfhLRGrZaCTz6hcv0GlF274vnlbCxucwqaV5zH54c+55DqEHKRnNcavcbLHV7GwuLu5jJq3bo1p06duv4FBh1c3AWnlkHKHtNvQd2hz+fQ+AmQXnu56U4hEonw9PTE09OT7t27c/78eXbv3o1OpyMyMpLw8PB6+a4vw9HR8ZH05QHWcQsq1Tw+ax8OgfZoQ21ZaPk5+roU2kTuYsmSXwAYN24cErGE4h/OoSuswe3N1kgcTA9aVUkRv374DjIrK5797BuslDYIgsDcuXOZMmUK/Z8YyFOt3qa8oJb+DSCtvriYnAlvUBcbi9O4V3GZMOG29Nm0tDSWHVvGTs1O6izq6O/bn0lRk+ot79xNbN26lfHjx1/tQVWeCadXmKRrdYEp6LzVSGg98pamwncTgiCQk5NDTEwMycnJhIaGEhUVhavrtWOiy8rK6NevHwkJCSxbtownn3zyPvf47kFvMJJfqcbH0frh1nGXHc3AKAjkuMt4z7GcuvwThIR8ysmTcZSVlTFy5EikUilVB7LRZlbhODzETFqdRs2WLz9Dr9Xy9LQvsFLaUFdXx/PPP09sbCzr126k9oITRZkq+o67OWnViYlkvzoOQ2XlbWdbzMvLY93udezU7yRHkkNjp8ZMbT+Vli4tb+v+NBRdunShoKCAmpoaFHKZyTHi1DKE1H0gElHn1YGisDfJVYShqqmlek801dX7UKlU1NbW1nPQEAShnpOGTCar55zx93ViGxsbHB0dsbS0vHknL0EkEuHj44OPjw81NTWcPn2aFStWEBQURJcuXbD/Hx/vy9J34cKFTJw4kejoaGbMmPFAOm5cJmZOeR055bWXPq98L6hSYzAKZMxsmC3igSSuWmfgt5gsnLxtqLa1pHXldCytG2Gj7MOhQwsJDQ0lMDAQXWENVbszsWrujNWlvMWCILDnxwUUZaYxeNJUnLx8yM3NpXfv3mi1Wt6bOImCE1LqSlT0fqkZfmE33r9HdeAAee+8i9jWFv9VvyK/5E7ZUJSWlrJn7x52luzkrPIsMisZk8InMTx0+H3JoGhra0szXyfSf36ZENVRpJoyqi3sOWPRnmRlOyyk/ihrlChFddja2uLl5WUmorW1dT0nDaCek4ZGo7nKMSM3N9f8vayszOSkcWmN2dPTE3d39waRWaFQ0LFjR9q2bcvRo0f54YcfaNGiBR07drzKp9nX15f33nuPqVOncubMGdauXXt3A/kbiDqtgYzSGjJKaki/9JlZWp+YlyESgbutHG8HK9o2csTbwQov+4bnZX4gp8obT+fwztqzaCOdGRuipkvxGJo1+5a/jmiJj4/n9ddfx8HOnqIFZzFUaHB7u7U56if2zz/Yu3QBUUOfpf2wZzl+/Dh9+/YlKiqKzRu3sH3hWXISK2jZz4WOA1rcsB9lv6yk8IsvkIeG4r1wIVK366ex+V+oVCoOHDjA0ZSjnHU/S7Y2m64+XZnSbgpuipvv6ncnMBqN5GRnU3ByG06pG/CtPo2FCAptW1AeOBir5gPw8PJBLr83+utlGAwGSkpKyMvLM6/tFhUVYWdnh6enJ8HBwQQFBTWoH9XV1Rw6dIi4uDjatWtHVFQUMpmM9PR0Nm/ezLhx49Dr9URFRVFXV8eff/5JQEDATeu9Vah1BjJLa0kvqblC0kvfC6s09a51Vlri72SNj6M13g5Wlw7Tdw87K2SSa84MHt513MEL/iKlso6qx5xZJJ+Og7gOD/dF/PzzMjp27Ej37t2p2pdF1Z+ZOP6nCdbNTeuBeRcT+e3jD/BrEc7g96eyfMUKXn/9dd59910+nvYxu368QNqZYsJ6O3EybQ9jx469avoFpi0/Cr+YSfmvv6Ls3h2vL2cjbqDjgEaj4fDhw8ScjqEosIj9Nfuxs7Tjw3Yf0suv1z1Le6rVaklNTSU5IQ5J4lYijadx1edglCo5XO3HsngpP285eE/avhUYDAaKi4vJyckhOTmZjIwMvLy8zGu7DjdxXikvL2f//v2kp6cTFRVFTEwMffv2JTjYtGGW0Wjk2WefZceOHWzevJmuXbvesL7roUajJ7W4mpSiapKLqkkurCalSEVWWS1/E5w4KWT4Oyvwd1LQyNkaPycFjZwV+DlZYyO/rWCJh1PHvZBXyZmsCgi1o59dFbKKc/g3+54tm3dhY2NDx44d0ebXULU3C6uWLmbS1lZWsG3OF9g4OdHr1Td58623WL58OatXr2bAgAHs+yWRtDPFPD4smJbdfZAdq+W3335j9OjR9RwaDNXV5L7zDjWHDuM4Zgyu776DqIGW3rS0NLZu3YrIW8SRwCNkVWcxMHAg70W+d0+MT2q1mri4OJKSkijLvEAXRSpP1BxHqq0A5xBo9zXiFsMp37GHvb++cdfbvx1YWFgI8DeyAAAgAElEQVTg7u6Ou7s7kZGRaLVa0tLSSEpK4siRIygUCho3bkzz5s2vaZRycHDgqaeeoqCggFWrVmEwGOq9fMViMWvWrOHrr7+mf//+zJo1i9dff/26L8wajZ6kQhXJhSoTOYtNJM2tqDNfI7UQ0chZQTNPOwaGexHoYiKnv7MC29sj5x3jgSPuyuNZSCQiqj2t6Vo3E6WyKTnZLuTnRzNkyBCkFhKK1sYhtpJgPzAQMHlG/f7tLNQqFf3en0r/Jwdz8eJFTp8+TWBgIMc2pZB4NJ/Ifv607G5ydXzssccoLCxky5YtDB06FJFIhK6wkOyXX0GTkoL79Ok4PPN0g/qs0WjYvXs38cnxlDQtYUfBDryUXizusZj2Xu3v+j0qKCggJiaG+Ph4Ityhvz4aW/0BROUGaNwH2r0CAV3M6669e/emuLiY1NRUAgMD73p/7gQymYzQ0FBCQ0MRBIHc3FwSExP55ZdfcHJyok2bNoSGhl61TCaVStHr9XTo0IFly5bRvn17oqKizLr4u+++S0REBIMHD+b06dMsXLiQ4loDCfkqEvKrzEdmWS2XJ52WEjGBLkoi/R0Y4epDkKuSIFcb/JyskVo8WAavB2qqrFLraPv5XrRuciLbSnhZNYrQkO/59dc4nJ2dGT16NKq9WVTtycJpZBOsmpmk7eFVy4jesp4OI19k1LuTUCgUHD16FLlcTuyeLP5an0KzTl50HtG43ptXr9ezbNkygoODeczbm6wXX8JYVYXX3LkoH+/QoD5flrL4wA5hB/k1+fynyX+Y0GoC1tKG++XeDHq9nvj4eE6ePEllRTk9/aFJ2Z9Y5BwHSzvTMk6bF8Hx2s4g7du3p0ePHnzyySd3rU/3EgaDgcTERE6ePElJSQmtW7cmIiLCnPhv/fr1uLq60qlTJyoqKti6dStarZZBgwZh6+BIUoGK+LwqTqbks27PMSwcfTFKrhjF/JysaeJuSxMPW0I9bAh1t8HbwRqLa+yHfJ/x8E2VN53JpU5rQONlTU/NAmxtWnDhggW1tbX06dMHfVEtVfuysQp3MZM2I/YU0VvWExjVkWffeAdfX1/27duHWCwm6UQBf61PIbC1C52GN75quiSRSHjmmWdYP2MGrnv3YSGX4/fLCuRNm960r5elbEJyAuXNytmWvw1fG19WPLGCcNfwu3ZPampqOHbsGLGxsXi4OvKEeynudesRnUsEW2/o/Tm0fv6mPsMDBgxgw4YNDw1xLSwsaNasGc2aNaO4uJiYmBgWLlyIv78/wcHBZGZmMnDgQLR6Izk1IixCOnPsTAqLvj1IudEKwyURo5BZ0Kp1BGcP/oEDNcyfMZmW/i4oLB+oR/+W8UBJ3CfmHiK1TotXJwVT1M/ROOh7li8/RbNmzRj85GCKF59DX1yL27uRWCikVJeVsmLSG8isFczYvJPGIaH8+eefAGTGlfLHgnN4BNsxYHz4dffxUe3dS87b71Atl+P1w2I8w29OuqysLDZu3IjMV8YOdpChymB4yHDejnj7rklZjUbDsWPHiI6OJjy0ER3kF1GcW2FylnALgw5vmoLTG5ieNDc3l8DAQIqKihq8G8KDhpo6NduPnGbbkbOopA5oFG6klqjRGowA2FlJaeKmQKrKx1WqZtTA7oT5uyMWi1Cr1YSHh2NnZ8eePXv+keWiBuLhkrgX8ipJyFeha2JHN8NmbG3COH3aZF7v1q0bNTEFaDOrcBjWGAuFFKPRwB/ff4W2ro4F+47RomW4acoKFKRXsvOH8zh6Kej7aovrkrZ8zW8UfPIJ8rAw9G+8wbqDB3npJqFnp06dYs/+PajD1WzK24SzlTM/9PyBKM+o65a5Fej1ek6ePMmRI0cI87HnjdAi5HHfmfZmDegCTy6AwG637Dfs5eWFv78/q1ev5pVXXrkrfb3XKKxSczqznNNZ5ZzJquB8biUavRHwxcoATppiHneV07ttU6Iae+LjaGVOCHDixAn+3PgrtkOH4u/vj1wuNyf169y5MwcPHnyQyXtTPDDEXX8qB5FYhMJLTqRuK/bu0/hj+1mioqKwsbCmYEcClgF2WLc2WRqPb/iN7Pjz7LqYSWBYc7Zs2QJAZXEdfyw4h7WtjAETwpFZXT1EQRAomTefkvnzUXTuhPecOYitrSlU17F27Vqee+65q7bTMBgM7Nq1i5MZJ4kNjCU5N5mBgQOZ1HYStrI7l2BGo5Hz58+zf/9+Auzhde8ErJI2m7L4NxsMHd4wbaZ8B+jVqxcbN258IImr1RuJz6+qR9TLll2ZhZgwL1uee8wPQ3EaTdwUDOvTBZ1Oy9GjR4k5vBG7yhY4XXLOEIlEPPbYY7i6urJ+/Xo6d+5MmzZtkMlknDlzhlatWtGjRw/2799/S/HBDxIeiKmyVm+k7ed7KLOR0LdNPKMkW0hLfZ6srBzefPNN6rZkURdXgttbrZG6WJMVd451M6aQWFxOtlTJzp07AVPKmQ2zT1Gn0jLk/Qgc3K/O9SQYjRTO+IzyVauwGzwYj0+mI7qUP8loNLJ+/XrEYjFDhgwx68S1tbWsW7eOM+IzHOIQNjIbpkZNpbtv97sy/ry8PLZu3YqLqJze1nEo0/4AsRQiRkHUeHC4OzsQREdH06NHD8rLy+96MMOtoqxGS0xGGSczyv5HmoKnnZxWfg609nWgla89zTxtsZRYoNFo+Pbbb3nttdfqScvq6moOHz7M+fPn6dSpE+3atTP/78rKylizZg2+vr488cQTWFhYoNVqadGiBW5ubuzateueO6LcIh4eB4xdFwp45ZdT6Fo78pXzuzR1fo5NG4vo0aMHkS5NKfn5ArY9fLHt4Uedqopl775ObmEhx1U69uzbD4BBZ2Trd7EUpFcy6M1wPIOvXsgX9Hryp3xE5ZYtpjXa9yZeZbDS6/WsXLkSNzc3+vTpQ3FxMT/99hOnXE6RqEmki3cXpneYjqP8zsPu9Ho9Bw8eJPvkLp50SsEuZx8iqRVEjoH2E8Dm1nb+awg8PDxYsmQJ/fv3v+t13wiFVWpOpJcRnV5KdHoZFwurgSvStLWvA60vkdXd7tpEio6OJjMzk2HDhl3zfGlpqVldGjRokDk0UqPRsHHjRjQaDcOGDUOhUKBWqwkLC6NRo0Zs3779jjdZu4t4eIg7dnkM+9JKadqthsmSr4m/MJLq6jpef+U1yuafR2Qhwu3N1mAhYsvXn5EcfYzdeeXsPHQEsVhs8k/+OZ6L0YX0HNOUxm2vfuCNWi15776LavceXN58A6dXX73uorxarebnn3/G3d2dg1kHiXGOQSNoeC/yPZ4OefqueD/l5eVxZN0C2uuP4K06Y9rAqu1LJgmraFhmiNvB8OHDkUgkrFy58o7qqa6uprKysp6f8mW/5bo6NWVaEZm1UjLrpOSo5ZTrTaqHTCwQZCeimasl4V5KWvk54mRvh729/U19mBcvXkyvXr1odIP458v67eHDh+nYsaNZ+hqNRvbv309cXBzDhw/Hzc2N2tpaQkND6dGjB0uXLn1QNvN+OIxTJdUa9icVo/NV0M2wFJl1f/LyChk0aBDqw/kYytS4vNwckURM3IE9pMYc56+sAn4/dMy82B69LZ2L0YW0GxRwbdLW1pIz4Q1q/voLtw8n4/j88zfsk1wup0nzJnx35juS7ZMJUgYxu9Nsgh2C73i8er2eM7//iOP5H3nakIxgaQudJ0G7V8H67gTP3wijR49mxIgR6HS6BucvVqlU9fyN8/PzzR5LlwMStBIFqVoHEqvtOF+oprhGD4Ct3IJwXyUtPKxp7m6Fp5WR2prLWSMLOBWdTHV1NeXl5dja2tYLSPDw8DCTuaKigqqqKvz8bqw2XNZvg4OD2bp1KwkJCWbp2717d1xdXVmxYgVPP/00fn5+HD9+nGbNmtG6dWvGjx9/Zzf3PuIfl7g/HUnnk9/jUT5uzfc275EY/xwGg4SXnh5N8dwzWLd0wfHpECoKC1j69itkFJcycclK/Pz9AUg8ns/eZQk06eBB1+dCr3prGlQqsl95lbrYWDw+/QT7BmRM2HRoE98mf0uZpIzQulD+2/m/tGhy44CEhqD0wgFUWybhr01EsHJAFPU6tH3ZlGniPiIgIIBJkyZd10il0WhITU0lKSmJtLQ0jEajmVAeHh5IJBJ0ej0anRG13oBGZ0R/yYHXQgyWEgtkEjGWEjESsbhBBvDLUUcGg6HeIRaLzYZCQRBuyZgkCAJarRa1Wo1cLje/BPR6vSnMUaFAIpGgVqspKirC1dX1vum7crkcb2/va708Hw6JuyE2F6ONlC7Wu7CS96KwsIIhQ4ag+iMDkYUYuz6NMBoM/Pb5NOrUavq89raZtAVplexfmYhXiAOdnw25Wl8tLyd77Iuok5Px+uZrbPv0uWFfBEFg9o7ZrC5ajdJaybzH5xEkDmLVqlU4KB1ub7tIgJJkqrZMwil7L3ZSJUK3qYjavQKWt5nA7Q7xwgsvsHDhwnrEraysJCkpiYsXL5KdnY2Pjw8hISHmONharYHojDJyygtwd7ZBsFEiEYmwE4lQWEpQWEpQyiXIJeK7NuUUBAGdTodGo6G62qQTy+VyMwkbGner1+spKytDJpNhZ2eHSCRCo9FQXl6Ovb09crmcgoIC8vPzCQgIuKUY4tuBIAiUlpaSk5Nzw2n/jfCPStyc8loen7UffbAN3wRMpixpEHq9NaO7D6d8eQJ2TzTCprM3O39axIVdv6P3a8yk2d8AoCpTs27mSaSWFgz7IBK5ov6bS19eTtYLo9FmZOD93VyUnTvfsC+1ulre2PYGJ1QniHSJZHaX2bhYm2J8U1JS2Lx5M88///x1szFcE+WZCAdnQuwadFigaTUGm14fgtW9yXbRUFRVVeHp6cm+ffuwtrbm5MmTFBUVERwcTEhICIGBgchkMuLzqzh4sZiDScWczipHZxBYMtCDRkHB2MilKC0lWMksEN9j3dBoNFJYWIizs7NZgmq1WuRyOQqFAqlUetOXhdFopKKiAoPBgKOjo9m6XFZWZiZvamoqtbW1NG3a9J5b3QVBIDEx0bxdzt/w4Evc7efyAQh0z8FLFkp8QS1DBvdBtT0DibMVyg6eZFw4z/md2ygRLJh1ibQ6rYEdi86j1xp48q1WV5O2rMxE2sxMvBfMR9nhxn7HqRWpjNsxjnxNPmObjmVC5IR6e/EEBQXRu3dvVq5cyfPPP3/ztKKqAjj0FcKpZRgFgQSbjjR67jts3Pxv/SbdAwiCQIcOHZg4cSJjx46lbdu2hISEoNIYOJJSwk9bEzl4sZhilckBpqmHLWMeb0SHQGec9cUEud5fxwWtVotUKjUfCoUCo9FIbW0t5eXliEQiFAoFVlZW15XCYrEYBwcHqqurKSkpwcHBAZlMhqOjI2VlZTg4OBAQEEB8fDypqakEBwffU2PVndb9jxJ3zZkcjLZSelrtJDHRDxcXF3wr7FGVZOL0QjN0Bh3LP56MyGBg2rLVgOmh27c8geJsFf1ea4GjZ/21Wn1pqYm02dn4LFqIIurGHk2/p/3OtCPTEBvEzHl8Dj2Cr71rX/PmzdHr9axYsYJRo0bh5HSNzBm1ZXBkDkQvQTDqiLeMICdgBN0Hj7zKoeOfQE5ODkeOHCEzM5Mnn3yS9957n5k/9GBPbi0fHThObHYFRsHkOtgx2JnOjV3o3NgFV9srel9CQsl97/e1DGlisRilUolCoUCj0VBbW0tVVRXW1tYolcprSkyRSISNjQ0SicScncPKygoHBwfKy8txcHAgNDSU8+fPk5eXh5eX1/0a4i3jH4tVyiytIb2gGgt3CY9JKsnOtqBj2w5U78tBHuKAVagj37z7BkoxPPXOZKwv+dee2pFByqkiogYH4t+8vuTTl5SQOWpUg0irMWiYfmw6kw9PxkHrwK+9f70uaS+jVatWdO7cmRUrVlBWVnblhE4NR76FuS3h6PfU+HVnqdWrqDp/Qq+hL/zjpC0uLua3335j3bp1ePg2IrTnsyQ7RuHy8lKeXRbLnD0XMQgwvlswG8a15/R/ezLv2dYMi/SpR9p/Cjqdrt46686dOwkJCSEoKIhZs2Yhl8txdHQ0Z3osLi6mqqrK7FAjEok4efKkubyVlRVOTk5UVVVRVVWFTCbDwcGBadOm0bx5c0aOHEm3bt3YvXs3APPmzSMoKAiRSERJyZUXV2JiIlFRUVhaWvLVV1/dp7thwj/2RK0/kwtApNtp8jJM0tYr3Yo6fTV2/QM4smsH4sJsXMPCCXvcpJ+mny3mxNZ0Qtq506pn/UyE+uJiMl8YjS4vD5/Fi1G0a3vdtrOqsnj34LskliUSVhPGl4O+xNvTu0H9joiIQBAEk+R9fiQOOXth7ydQmQ3Bvclt+hKr9sTy5JNPmrMy/FOorKzk4MGDxMSnIfZuQYrSjwXbS9EZSnCwltLUAeL3LuPU9l9xVDwwDghXQafTmQMjDAYDr7/+Ort378bb25s2bdowcOBAmjZtat6ITKlUolKpSEtLY86cObRrd/WG5VKpFGdnZ8rKyhAEgQsXLrB//3527tyJl5cXycnJZGVlodPp6NChA/37979ql0ZHR0e+++47Nm/efD9uQz38Y8RdF5uL0U5KH+vjpJ9syqCu7aj7owhlJy/0Ctgx/xtsrK0YNvFDACoKa9nzczyufjZ0ea6+BdkkaV9Al5+Pz+JFKNpen7QHsg8w+fBkRIjoqerJ2K5j8fZqGGkvIzIyEmXxGbTzOoAxH9xbwKD5pBi92LRpE8OGDcP/kuX7n4BarWH57wf4My6fQokrOdXBUFFHoIuYMR0a0aOpG619HTAa9LjNeZUTh/aatyd90GAwGDAajeapb3R0NEFBQeZ8UsOHD2fLli00/VsopoWFBfb29kydOpXx48fz/fffo1arEQSh3nNjYWGBk5MTpaWlpKam4urqat6yJSQkBEEQyMzMNO+U8b9wdXXF1dWV7du338M7cG38I8TNKq2loKQWRWMBZYkNDg7OeFyUYbDWYdvVl5nvjsPRypJBE6cgVyjRaQzsWHwesYWYPq80RyK9or8YKirIGjPWJGl/WHxd0hoFI4vPLWZB7AKaODahfXF7WjRtQbNmzW6t88VJsHsqoRd3opW7slM0mDZDv6SsvILNmzcxfPjw2182ugNo9AaOJJew8UQK+y+WUGuUYCFyIdLDgRc6u9G9iRuNnOvbAyzEUkaNGsWUKVNui7jTt10gPq/qbg0BgKaetkwbcOV/YjAYkEgkZsLl5ubWu7/e3t6cOHHiqnrOnDlDbm4uI0aMYNGiRdTV1Zn12r+rLmKxGCcnJzp27Mjs2bOJjIzk8ccfZ8iQIfTu3Zvz58+b9d8HCf8IcTeeN+2S3s71NClnXeneKhzdoUrs+gVw9PAeJMW5uDVvRVBkO9N2kysTKc+vYcAb4dg4XtG5DCoVWS++hDYjw6TTXoe01dpqPjzyIfuz99M/oD+RZZHorHW3lkhMVQgHvjAlEZcpoMfHyNq9iltcIkt/+hlBEHj22WfvK2lrtXoOJhWzI66AvYmF1GgMyEQGovztGdw2iC4hLthb33gKPGPGDHx8fNiwYcMDuZ3HZSeMy7jW8uX/WmiNRiNvv/02y5YtM5+3t7dHJpNRUlKCjY0N1tbW5nJisRhfX1/27NlDTEwM0dHRjB49mk8//ZSnnnqKjIyM29807R7hHyJuLkaFhMdFaZTLmuGTbIXYXkDa2oHfh3+FvcKaoe9MBuDc/hySYwp57MkAfJpccQk01taS/cqrqBMT8f7+OxTtr53bKb0ynTf3v0lWVRYftP2AoKogTuedZsyYMQ0zyes1cGw+HP4a9GpTepjO75v9iR0dHc0P1/3wda1S69iXUMSOuHwOXixGrTNiJ7egkUU5HUKteW1oD+yUV0dFXQ8KhYJ33nmHDz74gMGDB99SMvG/S8Z7hb9Pk8EkYbOzs81/5+Tk4OnpWa/M5U29L+ukBQUFDBo0iK1bt9KyZUsqKipQq9X1pK9YLMbFxYV27drRsWNHmjVrxtKlS3nhhReQy+VkZmbe87HeCu47cStrdWTlVWPjr6c62ZIIvzCE02psnwnh68nv4mItp++Ed5ErleSlVHB0fQqNWjrTutcVH1WjRkP2669TFxuL1zdfY3Mdybk/az8fHvkQqVjKkl5LcKp1YuPhjYwdO/bm3jGCYNpTZ+cHUJ5u2ge256fgHGS+pLi4mLVr1/LMM8+g1+tZvXr1PTFKlddo2R1fyI64fP5KKUVrMOJma8mwCB/cdXnUZcUxoH8/88bet4pJkyaxcOFCFi9ezLhx4+5q3+8UBoOhHnHbtGlDcnIy6enpeHl5sWbNGlatWlWvjJ2dXT3rb5cuXfjqq6+IjIwkNzeX559/ns2bN1NSUmJ2vkhKSkIsFhMYGEhpaSknT54kMDCQ8vJy8/qu0Wi8b+O+Ge47cdfF5YEAEU7x1F70JSDNFqmHFXGqRES56TgGNyG0fSdqq7TsWhKHjZOc7i80RXQpiZeg1ZL7xpvUHj+B58wvrunGaBSMLD67mAVnTfrs3K5zsRPbsfDXhQwZMuTm+kpJMuycDCm7wSkYntsAQfWXiurq6li9ejU9e/Y0G0pGjBjBmjVr6NmzJy1b3lnQe2Wdjl0XCth2No+jqaUYjALeDlaMau9HnzAPmrpasXnzJtRqNS+8+spV2f1vBVKplI8++ogZM2bw4osvNjj44H7AaDTW649EImHevHn07t0bg8HAmDFjzHaKqVOnEhkZycCBA69bX35+PhKJBBsbGywtLSkrK0OhUKBSqXjjjTeoqKhAIpHg7e3N4sWLUSqVfP3118ybN4+ioiJatGhB3759+fHHHykoKCAyMpKqqirEYjHffvst8fHx9yU10H13eezxwwGSc+oY32gdoUI/Wl10xWFUEz58Zxjetgpe/n4pts6ubP0ulvzUSoZ9EImTl0m/EAwGct+diGrnTtw//hiH4c9cVX+dvo4pR6awO3M3AwIGMDVqKnKJnA0bNqBUKund+wb7/qir4NCXcHwhSOTQ5QNTEICkvp5oNBpZuXIl7u7u9OrVq9654uJifv31V9q0aUP79u1vafpco9GzJ6GQbWfzOXSxGK3BiK+jNf1beNC3uQfNPG0RiUTXDA6/UxiNRkJCQhg1ahQfffTRda9LSEi4lpvePUN5eTmWlpZ3LVPFvHmmPZUvk9tgMFBWVma2RF9WFS67Qzo5OVFZWYlcLic7OxupVEpQUNCNmmgwrnMvHzyXR63eSGpWDUo3LfoCV0K1jlgG2bNq6w/42iro9NwY7FzdOLkjg5zEcro+F3qFtIJAwaefotq5E9f3378maYtqi5iwbwIJpQlMjJzI802fRyQSkZCQQF5eHq+++uq1O2Y0wrnfYM80qC6E8Oeg+1SwufZWIbt27cLCwoIePa522HBxcWHMmDGsXLmS6upqevW68e4Fap2BgxeL2XY2j70JRdTpDLjbynk+yo8BLT1p4W1Xr3xaWhobN240p2O5WxCLxcycOZOXXnqJt99++44k+O3i8n5EGo0GnU6H0WhErVZjYWFBdXW1eaMxS0tLZDLZbdkU/jd0z8LCAmdnZyoqKigtLcXBwQGJRIJMJsPW1tbsDllWVkajRo2Ij483Rxb9k7ivxN2UkIOghyY2GQRaNMMqS4KkgyN5kw9g4+RMRN9B5CVXEL01jeA2bjTp4GEuWzJvPhVrfsPppRdxGjP6qrrjS+OZsG8C1dpqvuv2HV18ugCmtDN//PEHw4YNu/YUMO8M/PEe5MSAVwQMXw3eEdcdw+nTp0lNTeXFF1+8riHH1taW0aNHs3r1ajZt2sSgQYPqSUW9wciRlBK2nc3nzwsFqDR6HBUyhkR4MaCFJ238HRFfI7/vmTNn2Lt3L0MvJUC72xgyZAifffYZH330EXPmzLnr9V+GXq83B93X1tai0WjQ6/VmQ9TlQywWYzQazQQVBAG9Xl9vbVcqlZqDDWxsbMw5p24Fl63ONTU1lJSU4OTkhFQqxdraGr1eT1VVldmpw97enuzsbEJDQ+/FrWkw7itxV8deRBBBk+pcGpc0Qd7UiZ8WzUAhk/Lsh9PR1Bn4c+kFbJ2t6PK3ML2yVasomT8fuyFP4fLOO1fVuzdzL5OPTMbe0p4VT6wgxPGKkWbHjh2EhYXh6/s/e76qK2HfDIheAgoXGLQAWo6AG1hVs7Ky2Lt3L6NHj75p3KaVlRUjR45kw4YNrFq1iiFDhpBeoWPj6Vy2xOZRUq3BRi6hT5g7A1p60j7QCckNsuVHR0fzf9Sdd3hUddr+P1MzM5lJJr2QQgkJhCIEkBY6iH0FsWDBAoqK667r2t7d3667665lWeuqrICyr68viAVFFBABKQYQEKQnBNJ7Jsn0Puf3x3gOCQmQMhP2va8rl5fMzPecM2ee8zzfp9x3QUEB9913X8d90iHCK6+8wg033MBjjz3W7ZGz8yEIAhaLhaamJqxWq9R7LBpcUlISWq0WlUrV7mF4oVDZ7/fjdrtxOp3YbDZaWlqoq6vD7/ej1WqJiooiPj6+0/O1MplM6nE2mUzExsZKMqJNTU34/X5kMhkJCQkUFxdjsVguK81trxruiQo3EdEB0tyZxLsisQ/wEdhQjqF/Nkn9s/jq7SM4bR7mPTVaYme0bNxI3V+eRz99Oil/+lObp6kgCLx37D1e+/E1hicM5/VprxOvPde/3GGILAhw4nPY+EwwLL7yAZj++0sOszscDj755BNuuummS08H/QyVSsWUq2/k7x/v4PW/baLRF4FKIWP6oETmjExj2qAEIpSX3p+K/Mr33HNP2BsBpk6dyrXXXssdd9zBnj17ur2OIAi0tLTQ2NiIzWaTGvzT0tKIjo7u9L5cpFs9HwqFAp1Oh06na/MgE/emLS0t1NfXo1QqiYqKkh4Ol4JWq5XyCKLxxsTE0NjYiE6nw2azERsbS0VFBbm5uRXjcDsAACAASURBVJeN7qbXDPdYQy1uC/RLa2RQYyqaIXGsXP5n/AEBZ1wKGz/YR9lRB5NuyyYhIzg2Zt+zh6qnnkabl0efV/6BrFXHi8fv4U97/sT6M+u5pt81/GXiX4hQnCvxdBgiN5UEw+LiLcE2xfn/GwyPO4GNGzcyZMiQTpV6HB4f3xyv49MfK/m+uJGAANlxeoa4ynnspnxGDet8mPXDDz+wf/9+7r33XqKje4cpY+XKlWRlZfGPf/yDJ554okuf9fl81NbWYjKZEASBmJgYBg4c2O0GBjFc7izUarUkKibO4JpMJk6ePIlWqyUxMZHY2NiLGpxGo8FoNLYxXvH/NRqNpA/c3NwsEdL1NnrNcN/54UdkwGBfE31d/SnTlKB02hgw/WpyxlzDzvfKIcqGOsWGIAi4TpygcsmjRPTtS/rbbyFvFfJYPBZ+vf3X7K/dzyMjHuGh4e2J37799luGDBkSDJF9HtjzJux4GeRKuPpFGPMAKDp3+ZdMbgGBgMDeEhOfHqxi07Ea7B4/aTFaHp2WxU0j+9A/QU9FRQUff/wxLoupUxnngwcPUlBQ0KtGC6DX61m+fDl33HEHc+fO7VTI7Ha7qaiowGKxoNVqSUtLu6SBdAZyuRy/39/tz8bGxhIbGys9UCorK6moqCAhIYGUlJQL5ilaG6+451UqlTgcDhQKBTExMVRUVLTJRPcmeu2I35d4QQmzmhLQDY7l20/fpcnl5caFD3FsYxM6QwST7xjItm3b+PD11yl74EHkxmjSV6xA0epHW2uv5Z6N93Co/hAvTHqBh694uN2Po6GhgcLCwmDnTFkB/GtScIJn4CxY8gOMe7jTRit67l/84hcdJrdqzE7e3HqaKUu3c8fyfXxzvJYbrkhl7eLx7HxyGr+5Kof+CUFvk56ezsKFCzl+/Djr1q3D6/Ve8LinT59mx44dLFiwoEMN33DjhhtukELmi8Hr9VJSUsLx48cBGDx4MIMHDyYuLi4kYaRCoWhnuK3H+l588cUOP7dq1SoSEhIYMWIEI0aMYNWqVaSlpTF8+HDkcjm33HILWVlZZGdnU1JS0uEaGo2G6Oho9u3bR35+PtOmTWPq1Kk888wzKJVKWlpamDRpEnq9vl22+ne/+x3p6enha5UUBKErf91CrblUyPjj18IVL64VCp/eInzz6jJh6a3XCbs3fSXs+qhI+OfirULZsUZBEATB09IiHJs5S/hp2HDhs9deE2pra6V1CpsKhelrpwvjPhwn7Knec8HjrVmzRtizfaMgfL5EEP4YJQivDBWEUxu7de6ffPKJsGnTpjb/5vb6ha+PVAv3vLdP6PfMBiHz6Q3C/Hf3CJ8fqhScHt8l1/R4PMInn3wivPvuu4LZbG73en19vfDyyy8L5eXl3TrnUMFqtQpJSUnC0qVLpX87ceKEIAiC4Pf7hfLycuHgwYPCqVOnBLvdHpZzcLlcQkNDg/T/Pp9P6N+/v3DmzBnB7XYLw4cPF44fP97uc++//76wZMmSDtecMmWKsHnzZqGhoUHYs2ePsHfvXsFkMnX4Xq/XK0yZMkV4//33Bb/fL7jdbmHbtm1CY2OjUFxcLKxcuVJ466232h1rz549QnV1tRAZGXnBaxO/y/PQKVvslVB55ZE9yFwGhmjcGLJi+WnLa5Q7PNySPpYv1/3EsGlpZAyJQ/B6qXn8ceQ1NaQveweHUskHH3xARkYG+lw9fznyF3QqHauuXtUmc9walZWVaMq2MbZiO9gbYcJjwUYKddfrbueHyKfrrHy0v4J1h6ow2T0kR2lYMi2LW0alkxHX+QYBlUrF3Llz2b17NytWrGDevHlS1tvpdErdV5djyqg1LhQyW61WSkpKUCgUDBw4MKwaPOd73M6M9V0MJ06cwOfzSY0zcXFx1NXVUVZWRmNjI/369ZMiK5/Ph8lkorGxkczMTMxmM0ajkVGjRuHxeNDpdIwZM4Zt27a1O864ceN6eukXRdgNVxAEvjkbDAlvaYnmsH87Hp+PWx57lq3/PklMso4JcwYgCAI1zz2HvWAPKX/7G1H5+YwD8vLyeOe7d3jvwHvEymJ5YeQLZMdkd3wsWwOe1Qv4heNgUNHujrWQ2j3JS6fTyddff811N83ls8M1fLS/gh/LW1ApZMwcnMStY9KZPDCh23qqMpmMSZMmkZSUxNq1axk7diwTJkzgk08+ITs7mxGdUA3sDbQOmXfs2IHJZMLpdJKUlETqkTeQ/XAstAdMHgbXnAt/FQqFRNuqUCg6PdYH8Omnn7Jz506ys7N59dVXSU9Pp6ioCKPRyNy5cykpKWHmzJm8+OKLxMXFcfbsWY4dO0ZGRoa0v42MjOSJJ57gpptuYvTo0cycOZOHHnpIasWMiYnBYrF0mPkOJ8K+x7XZCqloikehCpCXEsuJI9v5qb4Z+9l4XDYvs+4fglKtwPSvdzF/+hnxjzyMce4cIGj0HxZ9yIqaFYxMGslfhvyFH7b+wMqVKzl16tS5L0sQ4NinBN4cTab9MIGp/wUPbO+20QKs3riTw4oc5v13EU9/ehSry8fvrxvM3mdn8M5do5iWkxgSEeTs7GwefPBBiouLeeONN/D5fMyaNavH64YSK1eupLi4mOTkZNxuN4MHD6ZPnz7IOted1yPIZDJUKpWUD+jIQDraS99www2UlpZy5MgRZs6cyT333AMEveiuXbtYunQp+/fv5+zZs6xatQqVSkVOTg7p6emUl5dz+vRp1Go1er2e++67j5MnTzJ//nx27NjBuHHj0Gq1+Hw+FAqFRCPbmwi7x91evAVfy0AyVAJHarZjdXsZP/0BzhxqYPycASRkGDBv+IqG114j6sYbiP/lL4HgoMDSA0v54MQHXN33av6a/1fUCjUT8iZw6tQpdu7cybZt25gyKofcsyuRFX6FSZWObfZb9B/fPV0cl9fPpmO1rPr+LIcrfagVcq6/Iok7x2aQlxETtppdVFQUY8eO5csvv8RkMlFaWiqFgv8J2LBhAw6HA5/Ph9FoPFcPvabjxFCoIRquSCJ+qbE+oE1t94EHHuDpp58Ggh565MiR0vd70003sXfvXhYuXAhAfHw8ERERlJWVUVFRgVarJSIigtTUVBYtWsSCBQsYPnw4J0+eJCsri0AgQEREBA6HI5xfQTuE3XC/qrIgc/mZEhlBYclevi+p47b+2cT01zFiVgbOn36i5r/+C93o0aQ8/zwymQxfwMdzBc/xxZkvuHPwnTw15inksmBwIJfLyc3NZfCgQTR8+wbRm+/EH/ByKvV29jKSheOu6/I5lpns/O++cj4+WEmT3UOCRuDWbBXP3jaNmF7gYnI4HGzcuJHbb78dv9/P559/zogRI5g6deplKTW0xtNPP83bb78tsUg0NjbidDo71cwQKqjVapzOoORmZ8b6IDgFlJISbJldv3691Mw/ZswYmpubaWhoICEhgW3btjF69GgAnn32WUaPHs3EiRPJzs6msrKSEydOUFJSwg033IBKpZKaO/R6PQaDAZPJhFqtxuv14vF4ek08LKyGa7Gc5rB5AAApjYdpCEB+3qP4vAGmLxiMv76OikcfRZmYSJ8330CuVuP2u3l659NsLd96wRotlmpk6x8jsXgLZIyn5srfsWHD98hkZnbv3s2YMWMu2erm8wfYeqqeD/eVs7OoAYVcxqzBSVw/OJoT29bx2B2/RKPpnZsgNneIujgPPvgg69at49///jc333zzZWmt83q9zJkzh4MHD7J9+3bpx717925Onz7NkCFDek2qU6VSYTabg9nUTo71vfHGG6xfvx6lUklsbKzEhqFQKFi6dCkzZsxAEARGjRrFAw88AMDRo0eZMmUKOp0OtVpN//79qa2t5R//+AdPPfWUNFjw97//nfj4eLxeL1deeSVWqxW3201mZiZbt24lNzeXp556iv/93//F4XCQlpbGokWLeO6550L2nYR1rG/nvr9w1/4JqKpdPHzmX+w44+Xq0U8y4eYsrpiUSNmdd+EpKaHvR2uIGDgQu9fOr7b/in01+3jmyme4c/Cd7Rc9+gl89QT4PTDzORjzAJXV1Xz22WfcdtttFBQUcPr0afLy8hg3bly7OlqT3cPqH8r5n71l1JhdJEdpmH9lBreNSSc5WsNHH31EWloaEy9Boh4qnDx5km+//ZaHHnqoTZ1YEAS+//579u7dy9VXX82QIUN6rb3O4/Ewa9Ys6uvr2blzp0R7CsGsrBgF5OS0l30JF+rr6yX6mXBh1qxZ/M///A+JiYltrstsNnPmzBlSU1NJTg6Kynm9Xqmn2WQy4fV6aWpqkurEncF/7Fjf3uZyaLmSFJz4I41MHXELyf2jGD49jZonn8R14gRpb71FxMCBmN1mHv72YU6YTvDX/L9y44DzhqGdzUGDPfYppI2BOf+CuKA3P3DgAKNHjyYpKYk5c+bQ3NxMQUEBb731FkOHDmXixIlUO+SsKijh88PVeHwB8rPiee7GIcwYlCg191dWVlJdXc3cuXPD+bVIEJs75s2b1665QyaTkZ+fT79+/fj88885ceIE1157bdi5jzweD9OmTcNqtbJv37523l4mkzFw4ECOHz9OeXn5JdXzQgWNRoPL5Qqr4a5du7ZDOZPo6GgGDhxIcXExgiCQkpIiKSpYrVZ0Op00fmg2m3uFWC5sG6j6+hMckfVDbvOR2nyC2sa+aNQ6pi8YTPPy5Vi+/pqExx/HMH0a9Y567t10L4VNhbwy9ZX2RntmG7w9AU58ERwIuG+TZLQOh4PCwsI25ZOYmBiuu+46Hnr4EY6blVy79BuufWMX6w9XccuoNLY8Ppn/WTSW2UOS20zkbNu2jSlTpvQaA8Q333zTJkTuCH369GHx4sXExsaybNkyjh07FrbSg9fr5aqrrsJqtVJQUHDBEF2s3zY1NVFfXx+WczkfouGGC36/H5fLdcGBfYPBQFZWFjU1NdTW1gLBOncgEECpVBIIBNDpdNJr4UbYPO7xnz7guDnIuthfqyA9NZ8Jc7JQHt9L7WuvEXX99cQ9sIgqWxULNy+k2dXMOzPf4cqUVkyNHkdwuP2HdyE+B+avblfiOXToEDk5OW2+cLPDy5r95fz3njKqWnykRsdxZ5qcmOaTRNaWYa5w4zYOa8M7VV9fT2NjY48pZzqL2tpaiouL+eXPWfSLQalUMnPmTAYNGsQXX3wRNu97xx13UFtby759+y65tlarpV+/fpw9exatVhvWJgwI7nMDgQA+n69DZYhAIIDX65WSRGLThthpJJPJpD9xUF7sP5bJZDgcjotqD8E54y0uLpZ0h6KiomhpaZF+fxaLpVeSVGEz3Dr7QRos16DEitE2gGZvNYP6ZlB+21Nohg0j5fm/UGmt5P5v7sfhdbBy9kqGxg89t0DVQfhsMZhOw7hHgowUqraZTEEQOHDgAPPmzQOguN7Ke9+Xsu7HKpxeP+P6x/L/rs9lVm4SCrkMQZhKSUkJBw4cYOvWrQwbNozRo0eTmJjI/v37ycvL67WEy9atW5k0aVKXJB3T0tJYvHgx3333HcuWLQvp3vf555/nu+++48cff+z0QIPRaCQlJYXi4mKys7PDygohk8nQarU4HA6ioqIk0S+PxyOxZYiiYBqNBoVC0cZYW7cLtpbuFHmbfT4fBoOhHWn6+YiKiiIjI4PS0lI0Gg06na4N73NERAQtLS1dU3XsBsJiuFWlRVToo5Gd9WKQ+9ARS598C9WPPYZMqyXtn29S7q5l4eaFeAIeVs5eyaDYn0fd/D7YtTQ4yWNIgQXroX/HEpnFxcVoNFrKXRH8YdV+tp6qJ0Ip56YRfbhnQl9yU9vvz/r370///v2xWCwcPHiQDz74gNjYWGpqanqN4bC0tJTGxkZuu609/c6l0JH3veaaa3rk8b788ktefPFFvv766y63WaakpBAIBCgqKmoX+YQakZGRNDQ0SGGtqJUrCnl19gHW+mEp0uW0tLTgdDolWhqtVnvBh3h8fDwOh4Pi4mJyc3OJiorCZDKhUqkkArpwG66iiynqTr25YPM/2a2P52xRCn3tMuqPfMX9snKchw+T/vbbVCepuP+b+/ELflbMXnGu77ilAlbfDkfWwPBbYf4aSOx4dtXnD/DK2u1ssSSz/PtyLE4vD00ZwOu3j+DGEX1IMFzck0VERNCvXz/Gjh1LZWUlzc3NHD58GLfbTVxcXNjEjQVB4LPPPmPixIlSnbE7iIqKIi8vj/r6etavX49MJiM1NbXLdd+ioiKuvfZaXnrpJSlyuRgaGxvbZJnFc/H5fFRWVhIdHR3yHEEgEMDpdEpCXqJ0iE6nQ6VSSd61O5DJZBIVTnx8PGq1GrfbjdlsljqjOuLMjoqKwmw2YzKZSExMxOfzSd7dbDaTkJBwyXvR0XcJ/Kkz5x3y5FTAH8Di38tR11BkrgApARhk3Yvtmy0kPvEE1dkx3Lf5viB7xez3zvUdn1gPyyZC3XGYuwLmvtuhALTd7eP970uY8vftrC7X4Zer+NucYXz/zHR+NXMgcfquGZxcLqeqqop58+Zx991343Q6eeedd1i7di1nz54NeSKosLAQr9fLsGHDeryWUqlkxowZLFy4kLNnz7Js2bILjqh1hEAgwM0338ycOXN6HG2kp6cTExNDYWGh1CwRCrhcLhoaGnA6nRgMBoxGI1u2bCE3N/eiY32PP/64NNKXnZ0tjUYePnyY8ePHM2TIEIYPH85HH30k6e8C0tB8YmIiKpWK5uZm9u3bx5QpUxgxYgSDBw/mwQcfRCaTERMTw4IFC9Dr9fzud7/D4/Egl8tRqVQ89dRT/7fG+gp3/iSs2zhSSF2zW8h8eoNwy+zFwvFBg4WKx34lnGw8KUxaPUmY/tF04WzL2eAHPA5B+PLXwfG7f00RBNOZDtetMzuFlzaeFIb9cZOQ+fQG4ZqlW4Tfvf2R4PcHOnNaF0Rpaanw5ptvCoHAuXVcLpewf/9+4e233xbefPNNYc+ePYLT6ezRcQRBEAKBgLBs2TLh1KlTPV6ro7VPnDghvPrqq8LHH3/c4bjg+fj9738vZGRkCG63u9PHucAomoTS0lLh0KFDPR7z8/v9QnNzs1BbWyu4XC7p371er5CZmSmcOHHiomN9rfHGG28I9913nyAIglBYWCgUFRUJgiAIVVVVQnJysnDmzBnB4XB0+NlAICBMnz5deP/99wW73S4EAgHhyJEjgiAIgs1mEzZv3iw8++yzwuLFi4WWlhahoaFBKCoqEj755JP/W2N9Rw9voHJIBlj8yIDFpbtR9+uL5Ym7eXDLIjQKDe/Nfo+MqAyoPwmf3A/1J4Ljd9P/XzsO4zMNNv614wyfH6rGGwhw9ZBkHpjcn9ID28nI6N8hG2JXcODAAcaMGdMmFIqIiGD06NGMGjWKiooK9u/fz44dOxg8eDB5eXnBBvtuhGaVlZV4PB6yszuebuoJZDIZgwcPJisri127drFs2TImTpzIuHHjOtyrHTt2jFdffZWvvvoqpBnQzMxM5HI5hYWF3U5YuVwuzGYzERER7ULO/fv3k5WVRXx8PCqVqlNjfatXr+ZPfwpGoK2/+9TUVBITE6mrq2tPJvgzZDIZDQ0NDBo0CJvNhtPplI4VGRnJVVddxZEjRygtLUWn02EymdBoNGRlZUnNGuFASA3XXW/HHvkjpxiM3OIh2dVMjODD+9ff8MD3jxGpimTl7JWk69PgwPtBtYAIfYdKAceqzLzz3Rm+PlZDhFLObWPSWTSpH5lxkfj9fr5dU9whr3FX4PP5OH369AWV6mQyGRkZGWRkZGCz2Th06BCff/45giAwbNgwhg0b1iXGRbFRJJzdRiqViunTp3PFFVewadMmDh8+zFVXXSUJM0MwRL7jjjuYP38+U6Z0nPjrDF764SVONZ3q8DW32433jPeiSZ6O0C+yH4uzF2M0GjvMM1RVVZGZmRmkN3K5LjrWB1BWVkZJSQnTp09v99oPP/yAx+MhMzPzovfk8ccfZ/bs2UyYMIHJkyczd+5cMjIypH7t2NhYAoEA9fX1aDQaZDKZxAUdLoTUcI9uKMAQW8Fp702oLV6yG0vZMiaHr4r+jE6l473Z75GmjISP7wk2U/SfFuyAakU8vr+0ibe2F/NdYQOGCCWPTB3AfRP7Ed9q71pRUUFMTEyPe3hLSkpISkrqVCZUr9czadIk8vPzqa6u5ujRo7z//vsYjUaGDRvG0KFDL+pd7HY7RUVFXN2BZEo4EBcXxx133EFRURGbN2/m+++/Z+bMmaSlpfHWW2/R1NTEW2+9FbbjR0REIJPJcDqdREREdCph5fV6ERAumtgRfi7XREVFSXOwFzO6NWvWMG/evHYPj5qaGu6++27+/e9/S0mlC+G+++5j9uzZbNq0iS+++IJVq1axZcsWYmNj0ev1yOVyoqKiqKurIzs7G5/Ph0qloqWl5ZLX3F2EzHAFf4Di8pPEZZo46+1PwN2MpbmMDXc2oZKrWHnVStIs9bD2HrBWw8w/BcNjuRxBENhR1MDb28/wQ2kTsZFqnpydw13jMonWtr/hYhjWUxQWFnZZKEsmk9GnTx/69OnDVVddxdmzZzl69Cjbt28nIyODYcOGkZOT0y78PHToEIMGDerVqRqZTEZOTg4DBw7k8OHDfPzxxyQmJvL888/z17/+tcch8tNXPn3J97S0tFBSUkJsbCwZGRkdGogoAyKqB1zMiMSxvoiICORyOSUlJR2O9YlYs2ZNuweUxWLhuuuu4/nnn2fcuHHU1NRc8jpSU1O5//77uf/++xk6dCg1NTUS46MgCKjVaiIjI6mtrSUyMpKIiAisVusl1+0uQpZVrt9diDn2BI2yBJzO4PPgVH4zcoWcFVetIKNwC7w3GxDg/s2Q/2sCyNh4tIYb/rmbe9/fT0Wzgz/ekMv3T09nybSsDo1WEIRuGVxH64i1x+5CLpeTlZXFnDlz+M1vfsPQoUM5cuQIr7zyCuvWraO4uFii8jx48GBIJUO6ep55eXk8+uij7Nq1C51OR3x8PGazOezHNhqNDBo0CLPZTGFhIT6fr83rgUAAk8lERETEJY0Wzo31lZaWotVqWbt2Lddee22H7y0sLKS5uZnx48dL/+bxeJgzZw4LFizglltuAc5xNz/77LOsW7eu3TqbNm2SBuVF6tnMzEzi4uJwuVy43W4EQcBoNEoCYGq1ut21hhIh87iFWw+jzaqgOJCN3Ba8SFlkPcunvUn/bS8GtXmyZsLc5fg1MXx5qIo3t53mTIOdfvGRvHzzcG4a2Qe18tK1L7/fT1JSx7o+nUVNTQ1qtTpkqgBqtZrhw4czfPhwbDYbx48f57vvvuOLL74gPT0dhULRo7ptKOB0Ovnoo49Yvnw5BoOBZcuWMXLkSPLz88PaOKHVahkyZAinT5/mxIkTDBw4EK1W28ZoDQZDp/b+54/13XnnnfTp0wdBEPjjH//YRq1v9erV3H777W3WXbt2LTt37sRkMkmjfq+88gqTJk3i6NGjHSr9ffPNN/zqV7+SRkX//ve/S4mnK6+8ErPZjMfj4fPPP2fFihXo9Xpee+01Pvvss//ssb6Wkmq2rtiEauzbfOG9iW/qJqCoMDPF9Cb/vsIBDadg2n/hz3+CL4/U8sbW05xttDMo2cCj07O4ZmhKp2lgfvjhB2pray8qpdgZbN++vVdoYkwmE+vWraOpqQmdTsewYcMYPnx4r0yQnI8nn3yS7du3c+DAASBI+rZjxw5OnDhxwTHI89ETtT5BECgvL6epqYm+ffsiCAJyuZzo6OhuJ+wEQZBUBrrbcinKnMyZM4fNmzd36bOicgIgKTQcO3aMlJQUWlpaiI2NvaCTuexjfaf+vZNKTTlD9c2csg1EbrVhcNWyvM9RsBvw3/kZX9pyeOPVXZLBLrsrj6tyk7tczqmpqaFPnz49PueioqILZpNDidjYWOx2OwsWLMDn83HkyBFWrFiB0WgkJyeHnJycdvOf4YAoDdpazMtgMHD99deTn5/fZgxywoQJYXmwyGQyMjMz0el0lJSUYDQa6du3b4+uXRTsEpkoutO1pVQqcblcfPrpp7S0tLRRTpDL5dJQglKpbJM0E/fmIil6U1MTCQkJGAwG7HY7SqUSm83W4+iww3Pu6QLWpmZkdjmKzDL8yCmJ7IvBXsdV2hJIzGXzFf/gpS9snG083CODFVFdXd3jvaLdbqe5uZm0tLQerdMZNDQ0IAgCSUlJyGQy0tLSmD17NmVlZRQVFbFmzRogWF/MyckhMzMzLIMOa9euBeDWW29t95rRaOTaa69l8uTJ7Nu3j+XLl5OVlUV+fn5Yem5jY2NxuVw0NTVRWFhI//79e9RiqlKpJEnMzrQawrk2SofDgdfrRSaTSV1PrT8vTh05nU5pMkmn06HVajGbzeh0OimEFv8tOTmZ06dPExsbGzYuqh4b7r63N+BUC0RH11LmTyMgqHB7FDRbrFwf83uK1teFxGABiWWgpz8mkY+oN/icxERaa6+iUCikYYfZs2dLygvbtm3DZDIxYMAAiak/VFno119/nbvuuuui16zX65kxYwYTJ07kwIEDfPDBB6SmppKfnx8yjmfhZzEwo9FIamoqpaWlHD9+nNTUVOnh1h3odDq8Xq+k53Ohdfx+v9RIIarxqVQq6uvrLxmyC4KA2+3GbrdjsVgA2pQkDQYDjY2NaLVa1Go1fr8fQRAkatlQokeGa2m0oql1cirGSqaxih89eci8wUzatqjrGaSKYNldQ3tssCLq6uqIj4/vcB6zK6iuru61RFFhYWGHxX8RMpmMxMREEhMTmTRpEjabjaKiIo4fP86GDRtITU2VvHF3BaZOnz7N4cOHWb9+fafer9FoyM/PZ+zYsRw+fJjPPvuMqKgoxowZ0+OHndPpxO/3o9frkclkDBgwgJaWFsrKymhubu6R9xW9rsViaTeaKAiCNKggZtVb/46USiVut/uiXGUymUyaoQrjuAAAIABJREFUSBJFzRobG4mKipJmeVvrDTU2NqJQKHA6nSHvWe6RBWx+7UOG6jJpUe9gcKSdJnNf5I5gRrlP/T6+/tufQmKwIqqrqy9as+ssampqJIKxcMLhcEgs+J2FXq8nLy+PvLw8vF4vZ8+epbCwkO+//x6dTicZcZ8+fTptRCtWrODKK6/saBLlolCpVIwZM4a8vDwKCwvZv38/gwYNkn78XX2A+v1+LBZLO10ho9GIwWDosfcVG/9FaU/RWPx+v7R3FQW8zkdkZCR2u71TerqBQACPx0NSUhI+n08aCRQ5sUTOZY/Hg1arxW63/+cYbkOJCWpqqE+KIyq6EYDvlJOIdoMDuHVUakiNFkKXmKqpqekV0nExJO9umCSSdOfk5CAIAlVVVRQVFbFhwwZsNhvZ2dlkZ2fTr1+/i/7gNm/ezIIFC7p7GSgUCnJzc8nNzZWocxoaGiTBabFL6lKw2+2SgHVHxwiF95XL5ZK3A6T5WJ1OJ3n5jqDRaLBYLBdk2GgNcZpIrNcmJCRgtVolNXuDwUB9fT06nY5AIIDVag15gqrbcc8nf32XDF0mpfIaoqLqEFAgj00i1g9+ezNXz5wWyvMEQuNx7XY7LperV8oxoQzJxcTW9OnTefjhh1m0aBHJyckcOHCAV199lXfffZfNmzdTVFTUhpupqamJU6dOcffdd4fkPBQKBdHR0SQlJREREYHFYqG+vh6bzXZRHVtBEHA4HJcs2RiNRoYOHYparZYI6bqq1qdQKLDb7cyePZuRI0cyY8YMdu3ahUwmw+v1cs899zBs2DAGDx7MCy+8AAQNXmTYOB8bNmxg5MiRXHHFFeTm5vKvf/0LlUrFzp07ycvLQ6VS8c0336DX62lsbCQQCHDXXXcxduxYHn74YTweT2e+2i6hyx63qM7KR6+/SKzbSXLcOLaqdpOX4kKuz6PG7qO/3YuvubpTAtBdgZh6D1ViqjdoRWtqarpd87wUYmJiGDt2LGPHjsXv91NVVUVpaSl79+7l008/JS4ujr59+1JQUEBWVlaXw+RLQS6XExkZKSWF7HY7dXV1REREoNVqpWZ7EU6nU+J4uhRE72u1WqmoqODIkSMkJSWRnJyMIAgsWbKELVu2kJaWxpgxY7jxxhvbTQf97W9/48Ybb+See+6hvLycW2+9ldLSUj7++GPcbjdHjx7F4XCQm5vL/Pnz6du3L5GRkTQ2NhIZGSlFSV6vlwcffJAffviBtLQ06bMKhYKMjAxWrVrF0qVLgWC4LZPJMJlM/Pa3v6W2tpaVK1d2SZi7s+iS4f7mo8M0nXyNCeUjSdTU0yR34BG8qFRVNGp/AXawmV1gawx5xlakwexpYqo1w324UV1dzYwZM8J+HPFHlJGRweTJk/H5fFRXV1NSUsKmTZvIzMxk+fLl9O3bl759+5KRkREyhg+ZTIZarUatVhMIBHC5XNjtdlpaWtBqtVKGtTv7PIPBQG5uLs3NzVRWVtLQ0EBlZeUl1fqEVrxSCQkJ/PjjjyQmJhIIBJDJZNjtdnw+n5RZFjPDYqlHpFiVyWRYrVZ8Pp/UYRcRESFNWvXt2xegzW9dp9Ph9/sZPXo0O3fubMN3FUpn0SUrMBY/z4AzahyyOjL0Q6nSm4lUtwBuqhW54A9gcfpROJtCdoIiWicbeoLm5uaQ7JMvBYfDgcvl6nYmuCdQKpWSIVdWVvK73/2O4cOHU1paSkFBgTRsIBpyenp6twy59m9/w32y47E+AQGnP4A/EABBQABsKhXyS/x4IwYPIvm//qvNv8XExGA0GmloaGDLli1ERkbS3NxMTExMh2N9DoeDJ598kvnz5/Puu+9it9v57LPPMJlM3HTTTXzxxRekpKTgcDh49dVX29wjg8FAQ0MDLpcLrVZLbGwsN954I5mZmUydOpVZs2Zx/fXX43Q6sVqtyOVyPB4PLpdLKvuoVCrpNblcjt/vl0jpQoUurVTlOkkfnkTu30qi5hoOaI+S3icYv1eSisFrxwuovaGfQ7RarSGhAA3VOpdCTU0NycnJvcb03xHE/ee0adPQ6/VkZmYyZcoUiR+qtLSU3bt3U11dTVJSEhkZGaSmppKamorRaOxZRxPBmVSFQoHX50MmCPh8XkAm/aBlss7r/Ylls/T0dDQaDaWlpdTU1OBwONqcp8/nw2q1snHjRu69916eeOIJ9uzZw8KFC9m7dy9btmwBgtFQc3MzkyZNYubMmZIHFzuxxGklhULBm2++yV133cXOnTv55z//yXfffccbb7yB0WgkEAhIxllfXy/pCLV+TYwALpvhXntgHKVJjQzQDMSDjxprAwPiLajViZR7lCQHFFQAkbLQb8atVmtIPG6oPPelIDYCXE7s2LGD5OTkdterVColbwvBfVxlZSXl5eUcPXqUb775Bo/HQ0pKCikpKW2MuTXO94wXQl1dHXFxcUEj9npxuVy4XC4CgQAajYaIiAhpTO9SyMjIwGQyMXz4cKqrqzl27BhyuVx6+NhsNiIjI1m1ahWbNm0CYPz48dIxv/76a/Lz87Hb7cTHx0vNJq3VEdVqNTqdjubmZuRyOT6fj/HjxzNlyhQeeeQR+vXrxyuvvIJcLkehUKBUKomMjCQpKYnGxkYpLBavSey+CuVIZ5c2ovWJ14D/CP3ihtMY70IQBFTqaqKihnPW6Sbm5z14rDb0HUn/1zyuzWbrleNcDLt37+7U2KJKpaJfv35MmTKF22+/nccff5wlS5Ywfvx41Go1R48eZdWqVbz88svYbDYsFovUAnipIRWRQVFkYhT3lImJiVIThJjYMplM2O32dlnk1hDH+srLy0lKSmLnzp3MmzeP5uZmfvrpJ2prayXmkq1btwLBZn6Xy0VCQgL9+vXjwIEDCIJAaWkpe/bsYdCgIJPojBkzqKqqAoKJJq/XS0tLC8eOHZNKXocPH5YYM87PFosjnLGxsVgsljaczqHWz+2Sx3UqbSidHqKJo8RYj9Llx+utRB05lyqTlwGeoOVmJnSOULsrsNlsPW67E/tTw0ncLcJqtV72Mb7jx493m01Sr9czcODANtUBm83G2bNnJWYLkS5VpVJJDf7n06V6vd4O9Xgg6Pn1er0k5eF2u3G5XFgsFhQKBWq1moiICClkFT9zvlrfpEmTAPjtb3/LgAEDpDLM888/z6uvvopMJmPVqlXIZDKWLFnCfffdR35+PoFAgFtuuYX09HQ8Hg/FxcXExsYiCALNzc3odDrcbjcvvPACDz/8MFqtVvLmOp2OXbt2ce+999Lc3MyXX37JH/7wB3bv3k1ERAQ333wzJ0+exOFwcN111/Haa68xf/78bt2LjtAlw41QnyRNE+w4qvY00refChAwq4ciAAp3AJnXQfaAfiE7QRGhCHFtNhs6na5XepR7KyS/GOrr63vMy9Uaer0elUrVJpLw+/2S9Mf5xqxUKvH7/VK4eTH+Y7GOqtVqJQ/l8XhwOBy0tLS0MeTZs2dTVFTU5vOCIPDkk08SExODQqEgOTmZlStX4vP5iI6OlgxSr9fz8ccfS58LBALY7XYKCgq4/vrrpQw4BFsoo6Ki+OijjxAEgZiYGOm3EwgEGDp0KGfOnEGlUknZdLFfesuWLchkMpqamqipqQnZ3LeILhmuveUUA3MfJqBRUtNQS/6gYF9ynaIfYMbr9CPYmxl4ZWhruBCaELe3wuTePtaF0NjYKO1jwwUxAdW6c0s0Zr/fj9vtlmqbYmZV3Be2/mtNOt66xKTX6y9qyKKXF5NAoncX9+UiaXlZWZnUI200GomNjZWOazAYmDRpEiNHjqS+vh5BENq0ZcbExEiJPqPRiEajkfqSm5ubAaSoQ9QNstvteDweKVIIdRNGlwxXiRKdM5LGLB9CoYBe34zLZaTSqwPM2OweArYmjMbQSy+GQgW9N73gf4Lhim2DvQ3RmCH4nYtGIggCPp9P+ms9Lif8LFrdkWGLrYXnG7L4J9ZlRRUB0ZhVKhXR0dHSwIHdbsdkMlFfX09FRQVarZbo6Gji4uLQaDRER0cjl8txOp00NzdLUpoRERFER0ej0WikvuTo6GiJb0qpVEqdeHV1dWg0GtRqNSaTSaodd5Gw4pLokuEOGzgNPFCrNv8cMpRjMAymxOkhVqWgweImYG8Ki3yHmODoCUT2vd6A0+kMKx3MpeD3+7FarQwYMOCyncP5I20ymUwyqPMhKvGJf2JdVDRIUQrk/P/qdDoMBoPUcqlSqSRjFo/d+iGQnJxMWloaPp8Pk8mE2Wymtra2jViYGFp7PB6sVitms1maChL7kkXPHBsbi9PpxGQyERMTg1arpaWlBZ/PRyAQQK1Wh6Uk2CXD7Rs7HIVDTYWphrS0FOz206Sn3U2Z3U2mRk2h3Y3f0RIWwxX3Sj2BWFfrDYRjBrMrMJvNUlvi5YJYFunMD7e1Vz1/jUAgIGWnxWYGMRRv/ZpMJsPn80lrifdaXOP8h4FSqSQpKQmFQoHL5ZJEv6qqqigrK5OMWaPRSDzOgiBIdLM+n4+mpibJwzY2NqJUKvF4PJLYtWgLl9XjqkwKFCOjqT5aTX5+XwTBg8EwhGqTlyyVipMCBJyWsFCQhsLj9pbhijfpcjZftN5fXS6Eos1P9LaXupbWPcYdGfr5Bg7nxvPEc23N/yyG9V6vF5vNhtfrlR4K53t9u91+rtnE65VmcCFIDB8OdK2VwxugJcEbDBHi3DQ1QWRkDtVuN1eqgk8Wn90ihRihhNPplL7A7sJqteJ2u8PKdwvnkjPhPs7F0NTUJPXahhKiAXQG4t61s+/vCcRGftGALrQlOl+DR2SpEJskRPlOv98vyWaKe1nx/WI47/f78Xg8Uv1WfF9HCHUdt0vuR6aSUy8E2dm12hZAjkuVjjMgECUOQLh7ZlwXgpg17AlkMllYJjU6Ok6oQ6OuQqlU9sq1XgzhijgWLVpESkoKV1xxRbvXRE/pdrt59NFHGThwIMOHD2fHjh00NTXR2NhIY2MjZ8+eJTMzk0ceeQSz2YzVapVCYZfLhcfjwe1243A42LVrF9dccw0zZsxg6tSpvPTSSzidTk6fPs1dd93FmDFjWLNmjbQ3jo+P5+WXX+bqq6/mzjvvlLisQomu1XEHGKmsPkpsbCxe72m02jTqvMGbo/35oSr3OVEqlSHPqIrF754kfKKioiQO33BCZLa/2OB2uCGSdIf6WsUQsSsIRcguejS/38/8+fNZuHAhDz74IBaLRQqHRckPuVzOtm3bOH36NAcPHuTgwYM89dRTbNmyRWpBXLp0KePHj0ehUEi149Yq9W63G7/fj1qt5tlnn+Wdd95h+PDh+Hw+ysrK6NOnDyqVipdeeonNmzdjMBik+x0IBLjnnntYtGgRjz/++OVPTkVkG6ksqKRfv3447JuI1GVR7Q56V5Uv6GHkXmdY4nrxC7/ca3QGImNgKPbl3UV0dLSUne0MHUs40NWRtvMzy63DUjj30Bg9ejSVlZVAcMxO3FOKnFBer5fNmzczb948XC4Xw4cPp6WlhYaGBtLS0jhy5AhWq5VZs2axd+9eKioq8Hq9Ul3YYDCQlpaGWq3G4XDQ1NREZmYmUVFRaDQaqaUxJiaGAQMGsGPHDrxeLzExMZKyQV5eXhsSgFAbb5cM15Ma5Int0ycVh7OE2LhJVLqCm3u59+c9hs8ZUmFjEeIERk+gUCjCKgvRGhqNJiwkYZ2FSqVCr9dTUlIStmH+XWuLaKy4+CRYkOalps0P90KarwAxqVpG35COUqkkIiKCyMhIlEplu+x0S0uL5N3E0Fbcp6pUKurq6hg0aJA0oZWZmUlzczPR0dH86le/4rnnnmP//v0IgkBaWprEjWyxWKQxPZGx4/HHH5eGDCZNmsStt95KcnIyLpeLlpYWyWhFIez4+Hj8fr/0cAnHtqlLe9xae5DHJylJQSDgkTyuSibD6/Yjl4Fa5g9LUkaj0bShZOkOREKw3oDBYLisySkI0sCcPXv2shxbEAQCQgCZDHx+H16fF4/Xg8fjxuvz4g/4ERCQyWUolApUapVEtBYbG0tUVBQ6nU4q64h7T7PZTENDg0QR4/f70Wg0kuHFx8dLjRRKpRKv10t1dTV2u53Tp0/z+uuvM336dCZNmkRGRoa0LxUH7B0OBx6PB71eT2JiInq9nj/84Q/s3LmT8ePHs27dOu6++24pcSU+dMSuLjGr7XQ620R3l9XjVlZWolAo0OmCYlGRkQOoM3tJVCtxWPxERijRJSWF5cciGkJPSLd605jEY13OQYO4uDhKS0vDtv6kW7OlTGvrTiaPxyPVScUwWa/XS80QnQ2bPR6PlCQSm2dEcbCEhASpWQLOeTVx7jUhIYF9+/ah1WrR6XQ0NDSQn5/Pxo0b2bVrF6tXr8Zms+HxeNBoNDz11FPI5XKJrF3s1BMEAYvFQlJSEr/5zW944oknSEhIkB4cRqNRqpXbbDYEQZAaNlqf22VNTlVVVZGSkoLLXQqATjcAk6eROLUSh8eFTq0gLS2N4uLikJ4kBBvceyoULK4RahqRix3rciIhIYHy8vKQrSeWTZxOZzsjFfeHkZGRGI1GaW8vqgVcap/dmm7G5XK1M9TzO5DOv3/i/raqqgqLxcKoUaP49NNPefTRRzl06JDEwfXhhx9Kn1m5ciUFBQU8/fTTGAwGHnzwQR599FHGjBlDQ0ODNDTw9ddfc9ttt6FQKDh58iQKhYKIiAjJ6OVyORqNhqioKNxuNzExMdLwgnieoc4zdMlwa2trGTFiBA7H96hUsahU0Zi8tcSplDg8fiLVSjIzMzl58mRITxKChtBTbynumzrDNthT/CeEyjk5OZw4caJbnxUVB6qrq6mpqaGmpobq6mqmTp0qEb+db6QdQa1WYzabO3xYiplcMaEDSAZwsVbB+fPn891339HY2EhaWhrPPvsss2fP5r333kOpVPLLX/6SJUuWcOrUKXJzc9HpdLz//vttjmu327HZbCiVSuLj45HJZBw5ckQiEoyNjaWhoQG5XM4XX3zBc889J3Geffjhh9I00BVXXCFJa7722mts374dg8HArbfeSkFBASaTiWuvvZZnn32WX//61926Fx2ha8mpn0mgXa4qtJqg7o7J62OgToPT40erVpCens6uXbtCdoIiDAaDpIrW03VEloRwQq/XU19fH9ZjXAoTJkzgq6++6tR7RUZF0VCrq6tRqVSkpqaSkpLCuHHjSElJoaKiokvMHmKnmjgZJJZaRGMVvao4iNCZSGj16tUIgoDJZKKurg63241cLuf3v/+91GYol8vbCVoDEoE5wJIlSyQ6GYvFwsCBA6WZb7fbLT2Q3n77baKjo6X3+nw+ieheTEABEt90Q0ODpHRvtVqprq4mKyur099ZZ9BlEpzk5GTKyiswGIKseiaPnzi1kkKPD51aQYoxJSyCyQaDISRhn+i5w6Gg1hrR0dHtZkZ7GzNmzGDBggXSqFlr2Gw2SktLpT+73S5xTolGGoqMuBhGW61WaS8cEREh7QG7Uy5raWmhsrISn89HUlISiYmJbQbtxf7h89cWs8B6vV6iUhURFRUlzemKvFVxcXGS4p5IAC/q+orjg2IJS2zWEK9ZJGIXxxov6x5XJpORkBBPYVE1iQlX4fAHcAYCxKuUHPb4idapSU1NDUvmNlShZ2+FsCkpKdTU1PTKfvpCSEhIICYmhoKCAkaPHk1ZWRklJSWUlZVhs9nIzMykb9++jB49ukeCWx1BDIMdDocUBhuNxk5zS3UEm81GRUUFLpeLxMTEDoXbRL6o1hSrgiBgs9mw2+3Exsa2e4idf96icYvGZjAYiIyMlPbrHo8HQRCk+ytOPIklIXF8UKVSSdHAZTXcuLg4AkIzguBBo03H9LPAl7jHTTUGVdfDYbihSvZER0dLw8/hhKiw3pEAVW/AbrdTWlpKeno6b7/9NqNGjSIjI4O+ffsyatQokpKSQj5wISaYRGpapVIpzbyaTCaJ3bGrcDqdVFRUYLPZiIuLIzs7+6KeWqRYdTqdaDQazGYzPp9PykRfDKLXPH8rJU5aRUZG0tLSInEwdzT9JF6nqB8klqZCiS6tlpSUhMsZjOm1mj5UeH42XLUSp9ePVnXOcEM9idN65rIn66akpHDw4MGQndeFILIwVFdX94rhOhyONqGvxWIhMzOT8ePHs2fPHtasWRO2ySi/34/D4ZCoUrVabTs1PJ1Oh91u79LIp8fjoaKiArPZ3Eaa5FIQxb9MJhM2mw2VSkVcXNwlr1+cYT5flOxCx+hoPbfbLXVVmUwmPB5Pp7WVuoIuGW6wWyTIgqfRpGN2BzuZopUK/AEBhfxcva6yspKMjIyQnagoXtzY2NgjGZLeDGHFY4Wjc0nsmS0qKqK0tBSz2Sx51Jtuuonk5GTkcjkTJ04kOzsbh8MR0i4usenAbrfjdrvRarVSqNjR96rT6aR97qW8nhiG1tbWotfryc3N7XI5RRy58/v9UkPGpSCWrS4V1ioUig67+Nxut0TULo4Bnq9iHyp02eM6nT8BoNGkYnMEO5kMSgW+gIBSEbxhqamp7Ny5k7vuuiukJyt6sJ4YblRUFIIgYLVa24gShwOh9u4Oh4Pi4mIKCws5c+YMCQkJZGdnc+ONN15QqFtUNFizZg2LFi3q8TmIpRRxO6TT6aSupYuhtajWxQYfnE4nJSUl+Hw+srKyunWPAoEAJpMJtVqNRqORWh0vNicuipJ1RgxO3Me2/qxIlBcTE4NarZYobkTmjVCjS4+CxMREXO5qVKo4FAoNNl+wpStSIScQECR5ibFjx0pk1KGE6MF6gtYhbLiRmppKVVVVj3pVTSYTBQUFrFq1ijfeeIOTJ0+SlZXFL3/5SxYuXMikSZMuqZU7a9YsPvvss26fAwS5lL766issFgtut5vo6GgSEhLQ6/Wd9ihiy2lH/eKCIFBdXc3JkyfRarUMHTr0gkZ7//33k5iYyNChQztcp6mpiXXr1jF58mSuvPJK5syZw969e2lqarpgv7vb7ebbb79l7NixbVT5AEmVT6lU8sknn6BSqaQE1ezZszEajfziF78gLi6OiIgIabBebMAIxzRalx4FUVFRlJU3EhERLKXYfv4SIhVy/EIwVAaYOHEiy5cvD/GpBg3h1KmOtWq6gpSUFKqrqyUi7HAhKioKvV5PVVUVaWlpnfpMIBCgsrKSwsJCSTIzOzubCRMm0K9fv25lJ++77z6mTZuG3W7vUv1aJA3fvXs3DQ0N5OXlYTAYuq3QIDZtmM1mqT8Yuu5l7733Xh599NF2mr9iu6FcLmfIkCHs2LGDmJgYNm7cyDPPPMOWLVtoaGiQFOTPH1r47W9/y/79+yVVPrFd9HxVPnFQ32w2s2jRIu6//34++OADic7GZrO1GX8MR89AlwxXLpfjdtcToY4HwO4Pely94tweF2DUqFH8+c9/DvGpBvfYtbW1IUlQ/fjjjyE8swsjJyeHwsLCixqux+PhzJkzFBYWcvr0aQwGAzk5OcyZMyckkqCjR48mMzOTN998k2eeeeaS7xcEgcLCQnbv3o3L5SI/P59hw4ZJLX89gagh63A40Ol00l42JiaGzMzMTt3XyZMnd9iDLZZqRGkREePGjaOyslIay7NarVgsFnQ6ncSzLXrj1qp8ogpEa1U+v9+PxWKRWj5/8YtfUFBQIH1vYimpoqKCyMhI3G53WEgDuxx8ezwN6PXBC7L5/ChkoJHLgob78w/siiuuoLm5GYvFEtJ9pEajwWAw9DhBlZqayoYNG3olQZWTk8OXX37ZTm7TYrFIXrW8vJy0tDRycnKYOnVqO42eUGDx4sW88cYbFzVcv9/PsWPH+P7771EqleTn5zNo0KALGtP2Ve9SX9b1gRIhIOD5OXmDIASbJZQKfgASM/sz7d4Hu7ymSEkUHx/f7nxXrlzJNddcAwTrvHFxcfh8Pux2O42NjVIW+pprriEzM5Np06Zx7bXXcvvttwNIRupyubBarQiCQHx8PGazuQ1fsrjvFeeDtVotbrc7LHvcLq0oCAE8HhNqdVAk2e4PoP+Znb61x9XpdKSlpbF+/fr/2ASVRqOhrq6O5OTkEJ5de/Tp0we73U5zc7Oksn706FFMJhMDBw5kxIgRzJs3LyzMmK2xePFi/vCHP7B169Z2DxGv18uhQ4coKCggJiaG2bNn079//7A91IJzsx7kckXQG/XwMH6/X8rmnm8k27dvZ+XKlezevbvNvyuVSqKjo4mKisJqteLxeHj99ddZuHAh3333HUuXLmXjxo3885//lHrc1Wp1G55mo9FIY2OjxK1ls9mIj4+nvLycyMhIfD5f2O5rlwzX621BELxSqGzzB9ArfqbAhDY3YNy4cWzatCnkhivuT0eMGNHtNWQyGdnZ2RQWFobdcH0+H/Hx8axevRqLxUJ2djaTJ0+mf//+vcqOoVarmTt3Li+88IJkuD6fjwMHDrB7927S0tKYN29ep/fiQLc8Y319PZWVlaSkpKBUKqUoqrsQw1OdTtfOSI4cOcKiRYvYuHHjBSVAxLZFkRpp8uTJTJ48WVLlW7NmjfTe1moLcM74xeF7kbqmpaWF5OTksDbfdHHIoAFA8rjOQADtz4arlMvw+89lTydMmMCKFStCdZ4SMjMzOXToUI/XycnJ4ZtvvmHKlCkhOKu2CAQClJSUcPToUQoLCzEajQiCwG9+85tONRCEC3/+85/JycmhoKCAyMhItm/fTmJiInfddVfYH2CCIFBWViapKxiNRvx+P42NjT3if3Y6nfj9/nYJs/LycubOncsHH3xAdnZ2m9dmzJjBf//3f0sC5yJ7xv79+5k6dSqApMp3KbRurpDL5VRWVkplp0AgELZhli5leDyeIAOGaLi+gIDy55NWyGX4AucMd/To0T0u3XSE1NRUXC5XjyeF0tPTaWlpwWKxhOS8xHLG5s2befXVV9m2bRvJycksWbKEhQsX4nA4LvuYX2o9hcEyAAAgAElEQVRqKnPmzGHx4sUcPHiQOXPmcMcdd/RK1HHq1CmsViuDBw+W9vAKhYK4uDhsNpvUatgZzJ8/n/Hjx1NYWEhWVhbr1q1DJpOxbNkyli1bBgQfUiaTiUceeYQRI0YwevRoIGhMoiqfCDHZ+fLLL5OTk8OIESP44x//yKpVqwCkTPPHH3/M4sWLGTIkKHwnCAITJ07kgQceYPfu3WRlZfHll19Ka/t8vrCpWXTR44qGGwyVvYKA6mfDVSnk+FpRdYgJqqamppAKPMtkMgYOHEhhYSHjx4/v9joKhYKsrCyKioqkm9odNDc3c/ToUY4ePYrf72fYsGHcc889xMfHt3nfyJEjOXDgALNnz+72sXqC8vJyvv32W/Ly8li/fj2JiYmd8ig9hUhjGhERQW5ubrvtgVKpJDY2lqamJgRB6JSHWr16NRDkjlYqlVIC9KGHHpLes2LFig4jvhMnTnDzzTe3acYQ2TC//vrrDo83ZsyYNuN7EDT2pqYmvv76a4xGIzKZjDNnzkgKCyIxejgSU9DVPa4vOK6nUgWfmD7hXCZZKZfhaxUq63Q6RowYwWuvvRby0lBOTg579+7tkeGK6/z0009dNlyHw9EmyZSbm8uNN95IWlraBRM6o0aNYvny5UyfPv3/t/fmYU2def//+2SBQICQsO/7Jougota64G5FrdrWpVYdtXbaurTOdJn+5un2TJ9Wu8zU1qdO69a6VK22LqPUleKOIIKKICAgsi8hhCRkI7l/f8QciQmYkAT1+fK6Lq5Lk5yTOyf5nPu+P8v702f9iwDdnvL06dNobGxEWloakpKS0NzcjHfeeQdTp061a2cHkUiEO3fuwMPDA0FBQd1eG30usb5JljmytnpZG0s98AkJCfjnP/9p9LgljjiNRoPW1la6qZi+X7BYLEZkZCRdEWXPmm+LvrVOtc5wWSydM6HzgRlXrTHMEJo3bx4OHjxoi3EaEB4ejrq6OqvVJCMiIlBVVWVWC0StVovi4mLs2bMH33zzDaqqqjBy5Ej85S9/QXp6eo8/TEDXqjEwMBCFhYVWjdlclEoljh8/jp9++gmhoaFYuXIlkpOTwWAw8MEHH0AikeCTTz6x2/sLhUJUVlYiMDAQwcHBDzUMvRKFUqmEUCjsUY1TrwPl6upqkxuPuQL2+rTI5uZmup5Yf2xlZSX4fD7d40qv/GgvLJpxOzslYDKdwWDoZgy1loB177qxmJTBUhkAZsyYgQ8//JBOtrYVbDYbYWFhKCsrQ1JSUq/Pw+FwEBwcjOLiYpOq+IBOGeLq1avIy8sDn89HSkoKZs2a1Ss3f2pqKrKyspCSktLrMT8MQghu3LiBU6dOISIiAq+//rrRnZ/D4WDbtm2YOXMm5syZY/MMsubmZlRXVyM0NNSibZJ+z6uPr5oqeAd0NyWtVmuz/aM5hqvRaOjywAdreuvr66FWqxEVFYWWlhZaD9qewvsWLpXbwWLdT6joJATOjPte5c4HZtyoqCgIBALs2rULixcvtsFw7xMdHY3S0lKrDBfQOdHOnz9vYLh6D2hubi4qKioQHx+PBQsWWK2aERERgYyMDFRXV9MSKbaksbERGRkZUKvVmDNnTo+hnQkTJuD555/H/PnzkZeXZ7Mlc2NjI2pra2nPsaXoFSH1vWgVCgXc3d3pG7++QERf72wL9HrbpiaXrgUEzs7OdHG+HoVCgYaGBkRERNA1yDKZjM7IsheWLZU72+llMqBzTum9yg4sJpSdxgncc+bMwdatW60cpjHR0dEoLy+3WiQ9KioKEokE9fX1UCgUyMnJwXfffYeMjAyEhITgzTffxLRp02widcNgMDBy5EhkZmbaVCRboVDg2LFj2L59OxISEvDyyy+bFY/duHEjWlpa8PHHH9tkHHqjjYiIsDr7i8Vi0Q2nW1pa6NlOn9xvS9VEBwcHo35Xeh3n1tZWujm3m5ubkbB7RUUF+Hw+XFxc6Dp0lUpl12UyYPFS2XDGJQR0RZCLIxMypbERzZo1i3ar2xK9YHVpaalV9a4MBgMxMTH49ddfIZPJEBERgfT0dISEhNglcyglJQWXLl1CRUWF1U2n9cvikydPIioqyuSyuCecnJywc+dOpKen46mnnsKUKVN6PZbm5mbaaG2VdNB19u3o6EBLiy6qYWupUzabTftLuooC6OPLDxYk6KmqqoJGo0FISAgkEgkcHBygUCigVqvtLp5g8YzLZt0fEJOioLk3c3AdWZCpjB0Kw4cPh0qlwoULF6wcqjFDhgzBlStXenVsZ2cnbty4ga1bt6KoqAhisRjLli3D888/j9DQULul+zEYDIwbNw6nTp2yatZtb2/H7t27cfHiRcydOxczZszolRdzzJgx+PTTTzF//nyUl5f3aiwtLS2orq5GeHi4XX6w+pCPp6cnCCF4/fXX4eXlhQEDBtAz8IMcOnQISUlJdAy3a8rj3bt3MWnSJMTFxWHAgAGorq6GSqWCSCRCU1MTNBoN+Hw+vLy84OzsjNLSUqSlpSE5ORlxcXF45ZVX0NjYiMrKSqxcuRJubm5Ys2YNPUuz2Wx89NFHCAoKslsLGgu9yhKDpTKTgoHhSpXGhstkMjFt2jR8/fXXVg7VmLi4ODQ2NtJ3YnMQi8U4ffo0vv76a+Tn5+Opp57CmjVrEBsbaxchd1PExcWBwWDg5s2bFh9LCEFBQQG+//57+Pv7Y/ny5RalKZpi9erVmDVrFiZNmmSxXlhrayvu3r2LsLAwuxRHdEWfuP/qq6/i6NGjdLpjQ0MDmpub0dbWBplMBpVKhbS0NOTn5yM/Px9bt27Fyy+/TLcseemll7BixQpcuHABR44coduGMJlM+Pj4wN3d3cD5tHr1aqxZswYFBQUoLi7GkiVLUFtbi5iYGPzP//wP/vu//5vuRK8XRJ8+fTpycnLsdi0sWiprtHIwmfc9eboZV/dvFwcWZCYMFwBeeOEFrFq1qvej7AYWi0UnNvS0zCOEoLy8HFeuXMHdu3eRlJSEP/3pTwZJEqmpqTh8+DCGDRtm94ohiqIwfvx4HD16FHFxcWbnLLe3t+PIkSNob2/HwoULbZrxtGnTJjz99NOYOnUqMjMzzRqTXucqODjY7nu6rgoV+rI+JpMJb29vWiJVX8Ujk8noJa++plij0aCxsRGlpaVQKpVIS0uDg4MD3NzcwGQy6Qw6Uw6l+vp6+uaoUCjg5OQEHx8f+Pn5wcvLi1Y5oSiKNlx7t56xyHC1WgUYjPthEMYDM66pPS4ATJ48GW1tbTh//jxGjhxpxXCNGTx4MH744QeMGzfOKA9Yo9Hgxo0bdJlaamoqZs+ebTJfOCgoCGw2GyUlJXYvsAd0sWg+n4/s7GyD2lFTEEJw7do1nDx5EqmpqXQ7DFvCZDJx/PhxDB06FNOmTcPRo0d79Iqq1WrU7rkBLykFrWMdmmAbRREHfy7cpxvv/fVxXVPJKwwGAw4ODkbf64EDB/Dee++hqakJR48ehZ+fHy5fvgwvLy8sWbIElZWVmDBhAtauXQsul0uHoB783GvWrMG4ceMwfPhwJCYmYtGiRfDz86PjyY6Ojujs7IRcLgeTyeyTtqYWLZW1WqWB4TJBQR+55ToyIVN1mtxvODs7Y+nSpWYVcVuKu7s7goKCDBIb1Go1Ll++jG+//RbXr1/HM888g1deeQWDBg3qNsmfoiikpaUhMzOzzzq5p6en48KFCz0u9fV72ezsbCxcuBBpaWl2qyri8Xi4cOECSktLMX369G499oQQlJWV0eVufYG+z68lq6FZs2bh1q1bOHjwIN5//30AuhvAuXPn8OWXX9Lhvh9//BEsFgtsNttkR8glS5agoKAAI0aMwLVr1zBnzhxaM7rrb0Umk9k971uPhTOuysBwWRSFjnsD5zqyQAh0PYQcjU+rz9yxdXE9oFvmnj59GnFxccjNzUVOTg6CgoIsLlOLjo7GhQsXcP36davKBs2Fz+cjLS0Nhw4dwpIlS4zu9MXFxThy5IjdZllTeHp6Ijs7GyNGjMDkyZORkZFhdLOrrKyEVqtFyEspdo1VdkWhUPQ6oWH06NEoLy+new2lpKQgPDwcADBz5kxkZ2dj2bJl4HK5kEgkRl5kfTrj4sWL8cEHHyAxMZGuHuLz+XRCiEqlsmlefk9YfNW7WyrznHRLGLFcbfK46OhoDBo0yC6zrre3N0QiEdavX4/W1lYsXrwYc+fOtdhpQ1EUJkyYgKysrD5rgJ2amgoWi4Xs7Gz6sc7OTmRkZODEiROYP3++XWdZU+hbVDY2NmLIkCFoaGign2tvb4dYLEZUVFSfGa0+E8mS2f327dv06u/q1atQqVTw8PBAamoqRCIRmpt1JaqZmZkYMEDXTuejjz7C0aNHDSqV2trasGXLFri6uiI0NBSNjY0QCoV0dwN9pwK1Wg1PT88++54sN1zm/YvnwKCgvlfKJ+Dq7sqtsu7zft966y2r1Qa7IhKJcOTIEWzcuBE+Pj7w9/fHzJkz4eXl1etzBgcHw8fHp9dhJkuhKAozZszA+fPn0dLSAqFQiC1btkAqleLPf/6z1R7j3iIQCJCXl4ewsDAMHDgQ2dnZOH78ONra2hAREdFnS2QAdO8j/SzYtawvMDAQW7ZsAQCDsr5ff/0VCQkJSE5OxooVK7B3715QFAUmk4kvv/wS48ePR2JiIgghWL58OQCgsLAQERERkEgk6OzsRH19PSoqKlBYWIipU6di4MCBmDx5Mj755BN4eXnByckJ8fHx+OCDD3DgwAE89dRTdHfEd955B4GBgejo6EBgYCA++ugj214UfUdtc/5OnQ4n1TW7iJ7Xbt4hwy7dJIQQklspJCHvHiFZJU2kO9RqNfHw8CB79uzp9jXm0NDQQPbv30/WrVtHTp06RaRSKVGr1eTrr78mVVVVVp1bf/4vvviCKBQKq89lLpcvXybr168nn3/+OcnJySFarbbP3vthvP/++8TZ2ZlwuVySnZ3d5+8vFouJWCy2+/tMmjSJfr9bt26R/Px80t7ebvAatVpN6uvriUqlIiKRiDQ3N5Py8nJSVFRk8ft1c4xZttiLpfL9/Y4zg4GOe0qP92dcZbfHslgsrF69Gp9++qmlbwtAFzjfvXs3du7cCR8fH6xevRrjx48Hl8sFi8VCWlqa1YkNgE74PTIyklbvszcqlQr19fWQyWQICgrCkCFDHlmjMFN8+OGH8PDwoAXT+moboUetVvdJKeTx48chlUrpirGwsDCDfbW+Blf/mP5aSCSSPnNK6bHYcCnqvuOJy2TQEq16wxVKey6Re+WVV2hlQ3Mg9zyY27Ztw4EDBxAZGYnVq1dj5MiRRm73xMREKJVKm7S3TEtLQ25urkXJHb2hqakJmzZtglarxapVqyASiewauO8Nb7/9NhwdHVFSUgKtVovCwkKb9Co2B3KvkZi9JX+0Wi3u3r2L0tJSuLu7IzY2FnK5nE6FJITQgn/6boBsNhtarRaEELsnnzyIVbV2zkzdjEsIgRuHDSaD6nGPC+i0kSdPnow33ngDBw4c6PZ15F7SRGZmJjQaDZ5++mkkJCT06BBhMBgYP348Tp06ZbXzxN3dHWPGjOnW42sLioqKcPToUUycOJH2Ys+bNw9btmyBl5cX7fl8lFy5cgXff/89MjMzERoaCrlcDg8PD1RVVUEoFCIkJMSuRqUPt9jTEdbe3o6qqipQFIXY2Fi6XFCvzEFRFJ1ayePx6MQOtVoNkUgELy+vPl8hWXU1nJkMEAAKLQGDQYHv7PBQwwV0S6+TJ08aeCu7UlNTg+3bt+PYsWMYOXIkXn31VSQlJZn15UVFRYHD4eD69euWfhwjhg4dCiaTaeDxtQWEEGRlZeH48eNYsGCBQeiJz+fj+eefx2+//dZns1p36NMDX375ZQwbNox+3NvbG/Hx8SCEoLCwEHfu3LHb8lnfJMwehiGTyXDr1i3cvn0bfD4f8fHxBjW+Dg4OEAgEEIlEdNaWvqOfvpmXUqm0Siq4t1htuADofa4H1wEtD1kqA7oKmUmTJmHhwoUGjzc3N2Pv3r345ZdfkJiYiNdffx0DBgyw6EuzZUjnQY+vLVCpVNi3bx/Ky8uxfPly+Pv7G70mNDQUY8aMwZ49e6xW+bCGt99+GxqNhm690RUHBwdER0cjOjoacrkcN27cQE1NjdVllg9iTnc/S1EoFCgrK0NJSQk4HA6SkpJ6lB3SI5VKaSlYpVKJ5uZm+Pr69qkUkR6rl8oAINNo4AEWvN0c0SQxzjwxxeeff46kpCRa2/jMmTMoKSnBiBEjMHv2bKsuhj6kc/ny5YemEz4MgUBgsyVzW1sb9uzZAz8/P8yePbtHVZDU1FS0tbVhx44dWLRoUZ+k0XWl6xK5p+/CxcUFcXFxEIvFqKmpQVNTE9zd3eHr62sThQpb9VnW71EbGxvR0dEBHo+H+Pj4HsNaKpUKra2tdPvQ1tZWejLQL5VtUafdG6y6Iq737oTSezOuP88JdW3mGW5kZCQWLFiApUuX4vvvvweXy8WqVavw9NNP2+QONnny5IemE5qLLZbMVVVV2LJlC5KTkzFjxgyzpHwmTJiAwMBA7Nq1C0pl9956W9PdErkn9IYQHR0NrVaLW7duoaioCE1NTVatfEzNuD1169OTlZUFHo+HgQMHIj4+HitWrEB1dTXa29vx17/+FdOnT8egQYOwfv16k8er1Wq0traCx+NBLBZjxowZSEtLw9ixYzF37lwIhUL4+/sjPT0d7u7umDZtmsHxGzZsQGRkJCiKso+D09y4EbkXx62rP0AHnM63thOfzHxyrlUX6/rXyRIS8u4RolB3mhXHqqurI/7+/uT06dNmvd5SsrOzyebNm4lGo7H6XK2trWTdunWkvr7e4mOvXLlCvvjiC3L79m2Lj9VqteQ///kP2bx5M5HL5RYf3xvWrFlDIiMjiUqlMnrO3HilWq0mNTU15MaNG+TKlSvk5s2bpKamxuLYuEgkIlKp1OCxM2fOkLy8PBIfH2/0eq1WS8RiMdm9ezcZNWoUycvLI8XFxaSlpYVotVpSV1dH8vLyCCGEtLe3k6ioKHLz5k2Dc6hUKlJfX086OjoIIYQsX76cfPLJJ0QsFpP6+npy8uRJcv36daLRaMipU6fI4cOHSXp6usE5rl69SiorK0lISAhpbm42+dn6NI7bFQFbN2u0qnX7Gn+eTqu2UWze7ODn54eFCxfapeQPuD9TXr582epz8fl8TJ06FXv27DG7ZpUQghMnTiA7OxtLlizpleIFRVFIT0+Hv78/tm/fbvc9782bN/H9999j586dVq18WCwWAgICkJCQgMTERPD5fEgkEhQWFqKgoAC3bt3C3bt30draaiQb0xViojHb6NGj6ZxguVyOpqYmVFZWoqioCPn5+aioqIBGowGHw0FycjJiY2Ph4eEBiqLg5+eHQYMGAQBcXV0RFxeH2tpa+twqlQpCodCgEXZ1dTUCAgKg0Wjg5OQET09P+Pv701EMUznUKSkpdJc/e2D5Hpfcr4bg3zNckVq3FPJz1+3D6sRyBHuYt79577338N133+Hw4cOYMWOGxcPpCb1zafPmzYiKijISKbeUhIQENDY24pdffsGiRYt6dJpoNBocPnwYIpEIS5cu7bEb+sOgKApTpkzBqVOnsHXrVsybN6/bXjjW8sYbb2DmzJlmLZF///33biMDPaHRaOg/fRwU0H1Od3d3pKamgslk0m0tKYqilRjV97r8VVdXQy6Xo7i4GI6OjrRBubq60kJzeXl5SElJgb+/P7788ku6A4GeO3fuID8/n/6sCoUCbW1tcHd3p30KMpkMf/rTn/DnP/+ZrlmePHlyt6qgfYXFM65We99rzGfrfrit9wzX313346wXmz8r8Hg8vP/++3jjjTcsHYpZdHUu2aJcb9y4ceBwOMjIyOg2Q0ulUmHPnj1QKBRYuHChVUarh6IoTJw4EcOGDcO2bdt6LTPTE+fPn0d2dja++uorm5+7K0wmEw4ODnSjLb0MK4fDAZfLhaurKxwcHGinFEVRdAkhn89HQEAAQkND4eTkhEGDBiE+Ph7h4eHw9vamK3sGDRqEqqoqXLt2DatWrcLMmTMNxiCVSvHcc8/h66+/hqurKyQSCdra2iAQCGij1bfunDVrFi5duoTly5fj5s2bmD9/vt0Tcx6KuWtqcm+Pe/fujwYL8vAz18j7pTWEEEI6lJ0k5N0jZENmmck1fXfI5XLi4+ND/vGPf1h0nLlotVqybds2cvHiRZucT6FQkP/93/8lOTk5Rs/JZDKyadMmcvDgQZvsrU1x584d8uWXX5JLly7ZNKc5NTWVrFixosfX9CYn1xpaW1uJTCYzeryystLkHrc7uu41VSoVmTRpEvnqq6+IRqMhQqGQNDU1kc7O+74ZfU6yQqEgra2tpK2tjZSVlZGioiKSnp5O9u/fT7/2jz/+MNrjmnrfB+nTPa5Wa7h/5bOZ9Izr5MCEuzMbdW2W7cM4HA527tyJtWvXmp0KaQn6JfO5c+foci5rcHR0xLx583DmzBlUVlbSj7e1tWHr1q0ICwvDjBkz7JbtExISgmXLlqGgoACHDx+2SfLD4cOHUVZW1us8cnthbpeBB2loaKCPy8nJgVarhYeHBwghWLZsGeLi4rB69WoIhUJQFAVPT09s3LgRGzZsoHOSXVxcoNVqkZmZiY6ODrS3t8PT0xPl5eUIDg629Ue1CKsNV8Bm0YYLACECZ1QJze+8pmfChAmYO3cupk6davGx5iAQCDBp0iSbJTUIBAI899xz+PXXX9HU1ITGxkZs3boVqampGD9+vN1T4Nzd3bF06VIolUps3boVTU1NvT6XVqvFO++8g1WrVtlc5MBaGAyG0RbHnLK+/fv3IyEhAQMHDsTq1auxZ88eUBSFCxcuYMeOHTh9+jSSk5Mxfvx4XLx4ERRF4datW3SmlIODAxwdHSEWi1FaWoqnn34aL730EsaOHYuXX34ZqampAIBRo0bhhRdewOnTpxEYGIjjx48DAL755hsEBgaipqYGSUlJePnll217YcydmgkhOJ0ZTW7f/sJgXp9XcJtMzLlF/3/17qtkxGe9C++IxWLi7e1ttyUzIYQcO3aMbN++3WbL2GvXrpF169aRdevWkRs3btjknJag1WpJbm4uWbduHTl79myvPteWLVuIj48PUSqVD31tXy+VpVIpEYlENjtfZ2cnaW1tJQ0NDUahqfT0dFJfX09aWlpIZ2cnaWhoIDKZjJSVlZGbN2/avNSyz5bKDIajgXMKAPwd2ahX3Xfnh3lyUSeWQ6G2PPXNzc0Nu3btwrp16+yyZAaAiRMngqIonDhxwibnc3V1pT2f+kbJfQlFURgyZAheeeUV3LlzB1u2bLFo9tVoNPjwww/x97///ZE23e4OUzNub5HL5WhubgaDwYCXl5dB1hQhBDt27ACbzQafz4dIJIKTkxM6OzvR3t6O8PDwx6rU0mLD1TywVPZ1ZKNF1QnVvYsb5skFIcDdVsuXy4BuyTxnzhy7LZkZDAaee+45lJWVWd3ZvqKiAvv376flZbZv3w6RSGSjkVqGu7s7XnrpJaSkpODHH3/E2bNnzdr7fvHFF2Cz2VixYkUfjNJymEym1fnPGo0GIpEI7e3t4PP54PF4Bv4Hck+fWS+ELpFI6C4KFRUVCAgI6POU04dh+YyrMdwf+js6gABovNfFINRDp6Zf2WKZsHZX/vWvf6G5udlubSCdnJwwf/58nDp1qtcz++3bt/Hrr79izpw5CA0NRWpqKkaMGIEff/wRQqHQxiM2j66zb21tLTZs2ICCgoJuZyytVotvv/0WH3zwQZ/pR1mK3nBJLxxUWq0W7e3taG5uBpPJNJplgftGq9VqIRAIIJfLaW3kiooKODg4PJLqn4dh0bfFYrmiUyM1eMzXUZdd06DULZdDPa033L5YMnt6emLmzJnYt28fxGKxRcfevn0bBw4cwNy5cw26uqempiItLQ0//fSTVc4ia3F3d8f8+fMxe/ZsXL16Fd9//z1KSkqMfvwHDhxAZ2cnFi1a9IhG+nD0NxRLlsuEEEilUjQ1NUGr1cLT0xNubm5GNydyr/BAb7RqtRoSiQQCgQBSqfSxXCLrsdBw3dDZ2W7wmP89w62/Z7g8JzY8uA64Y4XhArol87x58zB27Fi76RxHRUVh+PDh2L17t9me5oqKChw4cADz5s0zGRJISUnBxIkT8dNPP6GsrMzWQ7aI4OBgLFmyBOPGjcPp06exbds2VFZW0gb89ddf48UXX3xsZ1tAt4pgs9lmNR8n97odNDU10aqOXVt0dkWj0dArI4FAgM7OTohEIri7u4MQ8tgukfVYlPLIZrlBqWw0eMyXNtz7FzbMk4vyZsOZuTd8++23GD58OCZPnoyTJ09afT5TjBgxAlKpFDt37sTChQt7/KIqKyvp5XFP/W0TExPh7u6Offv2YdiwYRgxYsQju2tTFIWYmBhERUXh+vXryMjIAEVRCAwMxJUrV7Bv375HMi5LYLPZUKvV3WagdXZ20h329M6lnhxt+gZfzs7OcHFxoY3Yzc0Njo6OKCwshKur62O5RNZj8YyrfmDGdWcx4cSg6BkXAKJ9XVHSILFatI3D4eD3339Hfn4+3n33XavO1R0URWHSpEnw9/fHzz//3O2dvaqqCvv378cLL7xgsDzujqCgICxbtgw3b97EwYMHe0yk7wsYDAaSk5Px+uuv45lnnsHmzZsRHx+PvLw8NDY2PvwEjxC94erRl/XFx8dDKBSipaUFhBB4enrCw8ODNtqsrCwkJycjPj4eY8aMAaDzLH/22WcYO3YsnnrqKcyfPx+1tbVwdXWFs7MzysrKwGAwEBYWRt9sS0pKjLr1AYBQKMTYsWPh4uKClStXGoz573//u1279VkUx71V8iHJOpNiFHgacamILL1RQf9/+8VKEvLuEVIr6uh9kKsLubm5xP3MfKsAAB/4SURBVNnZ2SDNzNZotVpy6NAhsm3bNqN4ZkNDA/n88897VZanUqnI/v37yQ8//NAnEqPmoFKpiLu7Ozlw4AD5448/yFdffUU2bdpEzp49SxobG3uMV/Z1HJcQXey1rq6OaDQaolAoyNGjR8mJEydIbGwskclkJmPXIpGIxMXF0XK9DQ0NRCwWk/z8fBIaGko6OjqIWq0m06dPJ//+978JIYTU1NSQ/Px8o+9/0qRJ5ODBg/T/r1+/TgjRxZjPnTtHNm7caJQqeunSJVJXV0e4XG63n6vP4ri6Pa4EhBjuOUOdHFElvz9Txfjqsm9KGiQ2uLXo+uBu2rQJS5YsQUlJiU3O+SAURWHatGkQCATYuXMn3UOmra0Nu3btwjPPPNOrsjw2m43Zs2cjNjYWmzdvRnV1ta2HbjGbN2+GQCDAzJkzkZaWhjfeeAPjxo2DVCrFzz//jG+++QbHjh1DZWWlzaVoLEXf2oOiKDQ2NqK9vR2jRo1CaGgomEwmnJ2dTe7Rf/75Z8yePRvBwcHQarX0Plm/n5VIJGhsbIRarUZYWBja2trQ2NiIyMhIo2V21259gG4rBABcLtek2iig6wttz459Fu1xdd3otdBoZAZ9ckOdHHBZLKVrJ2N8dc8VN7RjbKxt9gkvvvgi8vPzkZaWhvLycpvIojwIg8HA9OnTkZGRgR07dmD27NnYvXs3rTDZWyiKwqhRo+Dt7Y29e/ciOTkZaWlpZqlg2IONGzdi6dKl9P+ZTCbCw8MRHh6OKVOmoKmpCSUlJTh16hRaWlrg6+sLPz8/+Pn5gclk0t9zaek/IJEW225ghMCZG4PgoLehVquhUqmg0WjoTnwMBoOWQX1YyK20tBRqtRqjR4+GWCzGa6+9hj//+c/w9PTEmjVrEBYWBicnJ0yePBmjR49GUVERgoODTS5t9d36RowYgUmTJmHJkiV9Lsf6IBbNuGyWbiZVqw33uWHOjpBqtGi5l7PMc2LDn8ex2YyrZ+3atUhISLBaR6onKIrC1KlTERgYiH//+98IDw83W77lYcTExODVV1+FUCjEDz/8YFDA3VdcuXIFFRUV3ZZRUhQFHx8fjB49GsuXL8ebb76JMWPGwNXVFWVlZZDJZGhoaEBLSwsUSiU6Ozvv1dXer60lhAAm/nTPaaHVaqHVaKDRdKKzsxOdajXUKhVUahVUShUtgK7XrvLw8ICrqyuUSqXZfhO1Wo2cnBz8+OOPyMjIwFdffYWysjI0Njbit99+Q1FREerr6yGVSvHPf/4TXl5e3dZrL1myBMXFxXjhhReQlZWF4cOH96mUkCks8yo76Iq31WohnJzup/eFOumC2nfkKng56LzMsX5uuFVvW8NlMpn49ddfMXDgQMyfPx+7d++26fn1aLVaCIVCeHt7o7i4GImJiT16kS3BxcUFc+bMwc2bN7F79+4+n33//e9/Y/z48WY7TZycnOjZGNB1EPTx8YFarUak8/9Hd3nXF8XrkyX0BqafnQHdTYHBYIDBYIDJZNLF8vp/s9nsbr3v+utjjji6QqEAn8/H+PHjERoaCgaDgdGjRyMnJwdyuRyRkZEICQkBIQTDhw/HjRs3Htqjyd/fH0uXLsXSpUuRkJCAwsJCDB482KxraA8smnEdHXTNtJQqw9K4UCfdhayU378Lxfq6orxZClWnbWOwbm5uOHXqFE6cOIFXX33VpucGdD+0w4cPg8lkYtmyZZgxYwb27NljdXpkVyiKQkJCwiOZfU+fPo05c+ZYdQ4GgwFHR0c6nMLj8SAQCODp6QkfHx+DpbW/vz/9b19fX3h7e8PT0xN8Ph9ubm5wcXGBk5OTQVMvU1AUBWdnZ4NOeg+i1WrR1tYGsViMF154Abm5udBqtZDJZLh06RICAwMxYMAA5ObmoqOjA7du3UJ2djaGDh0KiqLw3nvvmRTpP3bsGO3VbmhogFAofCR56QaY68UihEAuryWnToeTmprdBm4whUZD/DLzybqKOvqxwwW1JOTdI+RGTVu3XjVrKCoqIu7u7uTNN9+06XmPHz9OtmzZYiCU1tzcTL755hvy+++/27w4XqvVkhs3bpAvvviCHDx4kLS12ed6EUJIaWkpcXJyskp07lF4lfXovctz584lvr6+hMVikYCAALJp0yYilUrJ2rVr6eJ4Qgj5/PPPSVxcHImNjSX/+Mc/6Mc/+OADEhYWRiIiIsiLL75IVwmlp6ebFFtYs2YNiY6OJklJSSQpKYns2LGDfi4kJITw+XzC5XJJQEAALTz39ttvk4CAAEJRFAkICCAffvih0Xmt8SpbZLgajZKcOh1OKiq+MXq3wRcLyauFlfT/7wplJOTdI2Rn9h1Tg7MJ165dI25ubuRvf/ubTc6Xm5tLNmzYQKv7daWjo4Ps2LGDbN++3eTz1iKXy8mpU6fIunXryPHjx02qPljL3//+dzJy5EirzvEoDZcQQoRCIZFIJIQQ3U1PJpORhoYG0tLSYhTGUalUpLGxkbS1tRmEuEpLS8m1a9eMVCz13fr6ij4s63MAm82HUmWstxPpxEF5x/2lciDfCQKuA65Vt1m/LOiGpKQkZGZmYsOGDXjvvfesOldVVRWysrIwb948kxk6Tk5OePHFF+Ht7Y3NmzfbREmjKxwOB+PHj8drr70GlUqFDRs24OzZs2al+plLRkaGkf7vkwaXy0VHRwcUCgVaWlogk8ng7u5ukHgB6Pa5QqEQXC4XPB6PXoaXlZWho6MDsbGxRiqW+iL4JwGLk1QdHDyhUhn/aGNcOCjtUNAd6imKwsBAHq5VW5bAbymDBw9GVlYWvvvuu14LzrW1tWHfvn2YNWtWj+qJDAYDkydPxqhRo/Djjz/i4sWLNs+jdnV1xbRp07Bs2TI0NTXh22+/RU5OjtUGLBKJUFRUZNT25UmC3PttaTQatLW1wcXFBZ6engYVP133uXw+H1wul36utLQUcrkccXFxj2XtsSVY7Mp0cPCCSmlc+RLL5UChJbgrVyHMWXchBwa5I6u0DFJlJ1wc7ec1HTx4MM6dO4cxY8ZAqVTS8iXmoFdkHDlypNkJFsnJyQgJCcGhQ4dQXFyMZ5991mrp1wfx8PDA888/j7q6Opw7dw5ZWVlITEzEkCFD4OXlZfH5fv75Z0RERJjsVfS4o9VqIZfLaT1rZ2dnKBQKcDgcA4eWUqlEW1sbHB0d4eXlRSdmEEJQUlICtVqN2NjYJ95ogV4YrqODF9rEeUaPx3B12SO3ZHIDwyUEKKwVY3i4fXSA9SQlJeHixYsYOXIkxGKxWaEiQggOHjwIPz8/i2O1fD4fixcvRm5uLrZu3YqRI0di+PDhNq+08ff3x9y5cyEWi5GXl4ft27fD09MTqampiImJMbsh1oEDBzBp0iSbjs3eqNVqyGQyyOVyODo6gsfj0UanVqvR0dEBLpdL190qlUrweDyDTCZ9OxStVmtyefykYvGvzNHRF0plk1HaY4yz3nDv9w4aGKjLLrHnPrcrcXFxyMnJQXZ2NpKTk3sMHQDAmTNnIJFIkJ6e3qvqHYqiMHToUCxfvhylpaXYtm2b3fR2eTwexo0bhzfffBODBw9GTk4O1q9fjz/++AONjY09JiZoNBpcvnz5sa671aPRaNDR0YGWlhYIhUIwmUx4e3tDIBDA0dGRFkd3c3ODRCKBQqGg/Q1eXl4GRqtUKlFYWEj3vf2/YrRAL2ZcjlMgCFFBqWoCx9GXfpzLYiKY42BguAKuA4IFzijoI8MFgIiICFy7dg3PPfccIiIikJWVhZiYGKPX6dtVLF++3Orkhwdn3xEjRmD48OF2SapgMplISEhAQkICmpqacPXqVezZswcAEB0djZiYGISEhBjMxH/88QecnZ2RkpJi8/HYArVaDaVSCYVCAbVaDUdHR1ogvbsbqr5nrkgkAp/PN8oXFovFqKiogEAgQFBQ0GNdc9wbLP40Thxd4FkhrzF6LpbLMTBcABgcwkfunVarS/wswc3NDceOHcPChQuRmpqK/fv3Gzzf1NSEo0ePYu7cuTYru+o6+9bU1ODbb79Ffn6+3UQAAF2D6SlTpmD16tWYP38+XFxckJmZiS+//BL79+/H9evXIZFIcObMGcTFxdltHJai1WqhVCohFovR1NQEoVCIzs5OuLi4wNfXFwKBgO5IYOrYhQsXwsfHB2lpaXQ2Vlfq6+tRUFCAv/3tb5gxYwYSExOxbds2g9e0t7cjICDAqBzPFNnZ2Rg2bBhd1vfRRx8BAG7duoWnnnoKjo6ORj2EzekoaA2Wz7gcXeqfXFEDdwwxeC6Wy0FmaztUWi0c7l3MYWECHMivRUWLDBFedqpNNAGTycTnn3+O5ORkejZct24dVCoV9u/fjwkTJtjFUcPn8zFv3jxUV1fj9OnTuHjxIsaNG4fY2Fi7FdNTFAVvb294e3tj1KhRkEqlKC0tRVFREY4dO4YTJ04gKCgIWVlZdDaTqUZV9kCr1aKzsxMqlS4HWa1WQ6PR0C1F3N3de0x11EPuqVtIJBLMmzcPq1atwtKlS+Hm5oa2tjbaYVdeXg6JRILMzEwkJydj3bp1aG5uRkxMDBYsWEDvkd9//326RvdhLF68GL/88gsGDhwIjUZDV6gJBAJ88803OHjwoNExf/rTn7By5Uq7bU96Ybjdz7gDXJzQSYASmQKJrrrqnaFhuq5qOZWtfWq4el588UVER0fjmWeeQV5eHlasWAE/Pz8kJyfb9X2DgoKwePFi3L59mzZgfe6svXFxccGgQYMwaNAgEELw3XffYeHChdBoNMjNzUVdXR2YTCb8/Pzg5uYGV1dXuLi4wNXVlf7rrlyuK4ROzLmfp9w1d1lfgMBiscBms+Hg4AAul2uWoXZ9D7lcDolEAhaLBQ8PD6Snp+POnTsAdPF1hUJBN9YGgAEDBuDYsWNobm6m9acEAgG9ddGLB0yZMgVXrlx56BiamproEj0mk4kBAwYAAH2zPHr0qNExo0ePpsdoDyw2XCbTEQ4O3pArjA032U1nrNckctpwwzy58HRxxOUKIeYPfTRtG4YMGYLr169j+vTp+Pjjj/Hrr7/2iZQMRVGIiopCZGQkbty4gUOHDsHT0xOjRo1CUFBQn4xBqVSirq4OL774It2akhACsViMhoYGSCQSSCQS1NTUQCqVQiKRQCqVQi6Xg8Ph0EUAeiMeNmwY3aHv84Z2lCjUus9BARQoo3/r/28uCS5O+EdUIAghUCgUtFSqu7u7ye7xek2qqqoqcDgchIWFgclkYuXKlZgxYwb8/f0hkUiwd+9eWqP5r3/9K93NwBzWrFmDmJgYpKWlYcqUKVi8ePEj16LqlffEiRMAhQnDDeE4wJ3FxDVJB16CLvxDURSGhQtwubLVoFKkr/Hz88OFCxewcuVKJCcn491338V//dd/9cl7UxSFpKQkWirm0KFDYLPZGDJkCJKSkuwaVzx//jw8PDxoo9WPx93dvceaUo1GA4VCoSvB61L109DQQC9Lnds74UBs269XSwgkEgk6OjrAZDLptpnd/W4qKyshEonowgb9644fP47k5GRkZmaivLwcEydOxKhRo7B9+3ZMnTrVomqvDz74AAsWLMCJEyfw888/Y/fu3cjKyrLFx+01vTJcjlMgxOICo8cpisJAV2cUtBuGYYaFCXD0ej1qRHIECWxfAG8ujo6O2LRpE+bOnYsFCxZgz549yMjI6LMGTkwmE0OHDkVqaioqKyuRm5uL06dPIzExEampqb1KrHgYZ8+eNelVN2esXbOO9DQ1NdEe60+iey6FMxdCCFQqFWQyGZRKJTQaDQQCQY/hG5lMBoVCAZlMhtjYWCNhhW3btuFvf/sbKIpCZGQkwsLCcOvWLVy6dAnnzp3Dd999B6lUCpVKBRcXF6xdu7bHMUZEROC1117D8uXL4eXlBaFQaLcexebQKx+5k1MwlMo6o3YkADDQ1QnFMjkUmvve1GFhug94ubK1l8O0LRMmTMDt27cxbNgwxMfH2014vTsoikJ4eDjmzp2LV199FU5OTti+fTt++ukn3Lx50ybd9/RcuXLF7vv53qIvuWtuboZYLIaDgwN8fHxoh5UpCCGorKxEZWUlWCwWBgwYYFINJTg4mF4KNzY2oqSkBOHh4di1axfu3r2LO3fu4Msvv8SiRYtoo120aBFycnKMznX06FE6KlJWVgYmk/nIFTAsqg7Sly/U1x8kp06HE4m01Ki04UiTiPhk5pM8sZR+TKPRkuSPj5O/7C2wrHyiDzh58iTx9vYm8fHxtLDYo6Czs5MUFhaSH3/8kXz22Wdk7969JD8/n0il0ocf3AOhoaHkl19+sdEora8OUqvVRCKRkObmZlJXV0eEQiFRKBRmNdSSSCSkoKCAPPPMM8THx4cu69u8eTMhhJCNGzeSjRs3EkIIqa2tJRMnTiQJCQkkPj7eoBRPz7Zt2wxE3gYOHEju3r1r9Lq5c+eSqKgoMnDgQDJ48GBy7NgxQggh9fX1JCAggLi6uhIej0cCAgJoQcB58+YZlB7qx9iVPivr059ZLL5OTp0OJ42Nx4zetUauJD6Z+WRLdZPB4yt25ZGh/3PS5h3PbEF7eztZunQpcXFxsWunQHORSqUkPz+f7N27l3z22Wdky5Yt5Pz586S5udmi66dUKgmbze62sXJvsNRwtVotUSqVRCwWk8bGRlJfX09EIhHp6Ogwu7ZZq9WSiooKkpeXR2pra+3SMFwsFpPnn3/e5uftCWsMt1d7XGdnnYyJrOM2gMkGz/k7suHJZqFAYrjPHR3lhSPX61HSKEGs7+PVg9XV1RVbtmzB/Pnz8dJLL2Hz5s1Yv349nn322UcyHi6Xi+TkZCQnJ6OzsxOVlZUoLS3F9u3bwWazERYWRitLeHt7d5uvXF5eDicnJ5sXQPSEVqul47X6jCgGgwEOh2N2zLYrjY2NqK+vB4vFMrmXtRVubm5PhDi8nl4ZLovFhaOjHzpk5UbPURSFwTxnXBEbGu6oaN2P52xp82NnuHomTJiAO3fuYMOGDVi4cCECAwOxadMmu4rTPQwWi4WoqChERUVh6tSpaGhoQFVVFaqqqpCdnQ2RSARvb28DmRi9MZeXl9t1L/agkXZNrtDHbV1dXXuV+tna2oqamhpotVoEBQVBIBA8lj18HhW9TqblOkdA1mFsuAAwlOeC4y3taFapafE4P54Ton1ccLa0Ba+MtlyfuK/gcDh46623sHz5cqxduxYTJ05EQkICduzY0SvvrC2hKIrWb9KjUqnQ0NCAuro62phbW1vh7OyM4uJicLlcHDlyxCjBQh+j1f9RFAVCiEH4R5+ppI/vSiQSBAQE0M20CCFWJVeYQiKRoKqqCmq1Gv7+/gblef3cp9eG68yNQH39PhCiBUUZXtjhPF0Y4XKbDNO879/xR0d5YXt2FeQqDZwczCtHe1TweDx89tlnWL16NT788EOkpKTg6aefxo4dO+Dr6/vwE/QRDg4OCA4ONghpaTQaSKVSvP/++/Dx8YGPjw8kEglqa2tpA1QqlbSR6v+6GjKDwYCzs7NBVlVgYCAtm6pPyrDVLCiXy1FZWQmFQkELzplbsvj/IlbNuBpNB5TKBnA4hjm/ia5OcGJQuCyWGhputBc2n69EdqUQY2Me34ZKXfHz88MPP/yAd955B++88w4iIiIwceJErF+/3qweQo8CJpMJHo+HtrY2hISEIDU11WbnLi4utmnCiEwmQ3V1NTo6OuDp6YmoqKj/U+V39qLXaxAuNxIAIJWVGj3nwGAgxY2Ly2LDVptDwwRwZDFwttS2ek19QWRkJH777TecP3+eru9MSkrC3r17H/XQuqWhoeGxVLwg9zKwbty4gZKSEnA4HMTHxyM4OLjfaM2k14br4qIrE5NKTLegGMbjolAih7Tzfu8ZDpuJEREeOF3c1KdlfrYkJSUFBw4cQGVlJV544QWsWLECvr6+eO2119DW1nd1x+bQ3NxsMyF3W6BUKlFeXo6CggI0NTXBx8cHAwcORGhoqMk8ZFNUV1dj7NixiIuLQ3x8PNavX2/ydYQQrF69GpGRkUhKSsLVq1cfeu6tW7ciMTERSUlJSEhIwKFDhwAA+/btQ3x8PBgMhkFRQk/d+uyOuXEj0iWOq+f8hTHk+o2VJmNUfwjFxCczn2QJ2w0e35VdRULePUKK6x+PznXWolarycGDB8nIkSOJk5MTGTFiBDlz5syjHhYhhJCgoCCSkZFh03P2JgFDKBSSwsJCcuXKFVJWVkba29t7Hc+vq6sjeXl5hBBd/D0qKorWMu7K0aNHyZQpU4hWqyWXLl0iQ4cO7fG81dXVJDw8nNa1lkgkpKJC14GyqKiI3Lp1i4wZM4bk5ubSx/TUrc8c+kye9UFcXeMgkdw0+dwQNy6YFJDdZtjgesIAb1AUcPLm492T1VxYLBaeffZZnDt3DteuXcOQIUPo3kPPP/88zp8//8jG1tbW1qsOg9ZCCIFIJEJpaSkKCgpw9+5d8Pl8JCUlITIyEq6urr12avn5+WHQoEEAdPH3uLg4k10gDh06hEWLFoGiKAwfPhxtbW2or6/v9rxNTU20Iw7QlUaGhYUB0EkimYoo9NStz95Ypa3i6jIAzc0n0NkpMejeBwAuLCaSXZ1xViTBu7gfvvB25SAlyB0nihqxanyUNW//2BEVFYX169fjs88+w4kTJ7Bv3z5MnToVbDYb8fHxWLJkCRYuXNgnfYK0Wi2kUqld638//s9NFNXpG8ARqFRqdHZ20qofbDYLLBb7nne46t5fzwzwd8OH0+PNev87d+4gPz/fpNBfbW2twTYhMDAQtbW13ba+HDhwIHx8fBAWFobx48dj9uzZmD59ulnjeBRYOePqLrBUarpn7Wi+K/LbO9CmNkyanxTvixu1YtS12bYk7HHB2dkZM2fOxK5duyASifCf//wHw4YNw0cffQQej4fExES8//77dhOWA0D3lLVnyaBGo4FSqYRMJoNUKoVarQaLxaJ7Cjk6cuwW0pFKpXjuuefw9ddfw83NOKGHmPCh9DTLM5lMHDt2DPv370d0dDTWrFlDS9Q8jlh163dx1SkBSCQ34e4+xOj5MQJX/KuqERfapEj3uh8WmjjAB2t/v4WTRY1YPCLUmiE89jCZTIwYMQIjRozAF198gbKyMhw+fBh79+7F2rVrwefz4evri8TEREyePBkzZ840+UO0FJVKZdPEhYaGBvz2229ISEiARqOBWq3Gs0FaLIjzg0AgMJBOtTdqtRrPPfccFixYgNmzZ5t8TWBgoEET8Zqamod62PW6YUOHDsXEiROxZMmSx9Z4rfpmHR18wGYLIJEWmXx+sBsXXCYDZ1oN221GeLkgwouLE0UN1rz9E0lUVBT++te/IicnB2KxGIcPH8Yrr7wCQgg++ugjeHh4wNvbG0lJSViwYAG2b9+Oqqoqi0Xnemu4Wq0WJSUl+O677zB79mzExcVBIBAgODgYGzZsAIPBgI+PD2JiYpCSkoKYmBh4eXn1mdESQrBs2TLExcXhL3/5S7evmzFjBrZv3w5CCLKzs8Hj8ehlcmxsrNHr6+rqDDzPBQUFj22cHrByxqUoCq6u8ZBICk0+z2ZQeNrdBWdFxn1yJ8X7YtPZCrTKVBBwn3xl+d7g7OyM4cOHY/jw4XQ4oaOjA9evX0deXh4uXLiAjz/+GHV1dVCr1eByufQfj8eDp6cngoKCEBERgcjISHC5XDg5OcHR0RESiQQMBgNXr16FXC6HUqmklf7LyspQUVGBmpoaCIVCSCQSernb0dEBDoeDkJAQPP3003jrrbcwePBgxMfHg81mo7i42C4F/+Zy4cIF7NixA4mJiXSd8aeffoqpU6fSHSxeffVVTJ06FRkZGYiMjISzszOt8tjS0mJyGa1Wq/HWW2+hrq4OHA4HXl5e9PkOHDiAVatWobm5Genp6UhOTqb7DIWGhqK9vR0qlQoHDx7EiRMnaE0qe0KZ+hA9YPTiioqvUXnnfzFmdD5YLGMxuM01zfivslpcHh6HEKf7sbrCWjGmfXsen85KxIvDHo0W1ZOETCZDfX096urqUF9fj/r6elRXV+Pu3buorq5GQ0MDVCoVLdSm0Wjg6OgIhUIBFosFFosFJpMJDocDPz8/BAUFISQkBIGBgQYFCr6+vj16SYuLix8rqVdLOXLkCCoqKrB69epHPZTurqVZ7nar3Zs83iAAWrS3X4NAYFxFM4av8zafaZVgUcB9w433d0O4FxeHr9X2G64ZcLlcREZGIjIy8lEP5YnmSe9WqMdq74Wbm265Ihab7tge6eyIAEc2/nhgn0tRFKYn+eNyZSsa2xUmj+2nn35MY7Xhstlu4HKjIG43bbgURWGiJw9ZrRIDHSoAmD7QH4QAR653Hxjv5/HDwu1VPyaw9hraJF7Ac0uBWJxv1AhMz2QPN8i1Wpx/IIsq0tsFA/zc8J9rdbYYRj99AIfDgVAo7DdeKyCEQCgUWpVxZdEeV6PRmAyo83iDUFf/Czo6KsHlGqfYjeC7gMtk4ESLGBM8DGOUM5L9sfb3W7gr7ECwx6OTbu3HPAIDA1FTU0N3yOund3A4HAQG9l7e1iLDbW1tNRkK4PF0XeDE4nyThuvIYGCswBUnWtqxNpqA0SWDZVqSH9b+fguHr9Vi5bj/WymQ/xfRa17182ixaKnc3V3W2TkcLBYPYhMNr/VM9uShQaXGdYlhmmMg3xlDwwT49Wpt//Krn37MxCaGS1EM8N2HQiTK7vbY8R5uYAA43iI2em7OkCBUtshwpUpkyXD66ef/WSwy3Kampm6f4/OfglxxF3ITXfwAQMBmYSiPa9Jwpyb6guvAxC+51SaO7Keffh7E0sypfvrp5zGgX/eyn36eQPoNt59+nkD6Dbeffp5A+g23n36eQPoNt59+nkD6Dbeffp5A+g23n36eQPoNt59+nkD6Dbeffp5A+g23n36eQP5/hBzTwYOWr2MAAAAASUVORK5CYII=\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": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "the optimum source reflection coefficient is (0.0880613782526+0.102618106726j)\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_degen.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_degen.rn[idx_915mhz]/50\n", "gamma_opt = bjt_degen.g_opt[idx_915mhz]\n", "fmin = bjt_degen.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": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(0.088061378252587419+0.10261810672607581j)" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "gamma_s = bjt_degen.g_opt[idx_900mhz]\n", "gamma_s" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "((0.53933106007665532+0.26530128140907783j), True)" ] }, "execution_count": 13, "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_degen.s22.s - bjt_degen.s21.s*gamma_s*bjt_degen.s12.s/(1-bjt_degen.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": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "((113.01057791499088+93.878513301282439j),\n", " -225.08350870216864j,\n", " 83.96308091204551j)" ] }, "execution_count": 14, "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": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(7.727790877202402e-13, 1.4604523895493778e-08)" ] }, "execution_count": 15, "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": 16, "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 = tem.inductor(0.9e-9) ** bjt_degen ** output_network\n", "\n", "amplifier.plot_s_smith()" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.7680949467294812" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "amplifier.s11.plot_s_db()\n", "amplifier.s22.plot_s_db()\n", "10*np.log10(amplifier.nf(50.)[idx_900mhz])" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(8.0997171982931437+2.8002337270131945j)" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "amplifier.s21.plot_s_db()\n", "10*np.log10(np.abs(amplifier.s21.s[idx_900mhz,0,0]))" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/kelvin/.local/lib/python3.6/site-packages/scikit_rf-0.14.8-py3.6.egg/skrf/media/media.py:527: RuntimeWarning: divide by zero encountered in true_divide\n", " y[:,0,0] = 1./(1j*w*L)\n", "/home/kelvin/.local/lib/python3.6/site-packages/scikit_rf-0.14.8-py3.6.egg/skrf/media/media.py:527: RuntimeWarning: invalid value encountered in true_divide\n", " y[:,0,0] = 1./(1j*w*L)\n", "/home/kelvin/.local/lib/python3.6/site-packages/scikit_rf-0.14.8-py3.6.egg/skrf/media/media.py:528: RuntimeWarning: divide by zero encountered in true_divide\n", " y[:,1,1] = 1./(1j*w*L)\n", "/home/kelvin/.local/lib/python3.6/site-packages/scikit_rf-0.14.8-py3.6.egg/skrf/media/media.py:528: RuntimeWarning: invalid value encountered in true_divide\n", " y[:,1,1] = 1./(1j*w*L)\n", "/home/kelvin/.local/lib/python3.6/site-packages/scikit_rf-0.14.8-py3.6.egg/skrf/media/media.py:529: RuntimeWarning: divide by zero encountered in true_divide\n", " y[:,0,1] = -1./(1j*w*L)\n", "/home/kelvin/.local/lib/python3.6/site-packages/scikit_rf-0.14.8-py3.6.egg/skrf/media/media.py:529: RuntimeWarning: invalid value encountered in true_divide\n", " y[:,0,1] = -1./(1j*w*L)\n", "/home/kelvin/.local/lib/python3.6/site-packages/scikit_rf-0.14.8-py3.6.egg/skrf/media/media.py:530: RuntimeWarning: divide by zero encountered in true_divide\n", " y[:,1,0] = -1./(1j*w*L)\n", "/home/kelvin/.local/lib/python3.6/site-packages/scikit_rf-0.14.8-py3.6.egg/skrf/media/media.py:530: RuntimeWarning: invalid value encountered in true_divide\n", " y[:,1,0] = -1./(1j*w*L)\n" ] } ], "source": [ "# that's pretty good but let's try to optimize the inductor value so we can get conjugate matching\n", "# at the same time as minimum noise figure\n", "\n", "nf_min = 10e+9\n", "lval = 0.0\n", "gamma_s_opt = None\n", "gamma_l_opt = None\n", "best_zs_opt = None\n", "for l in np.linspace(0, 5e-9, 50):\n", " bjt_degen = series(bjt, tem.shunt_inductor(l))\n", " #bjt_degen.plot_s_smith()\n", "\n", " idx_900mhz = skrf.util.find_nearest_index(bjt.f, 915.e+6)\n", " zs_opt = bjt_degen.z_opt[idx_900mhz]\n", " \n", " bjt_s11 = bjt_degen.s11.s[idx_900mhz,0,0]\n", " bjt_s12 = bjt_degen.s12.s[idx_900mhz,0,0]\n", " bjt_s21 = bjt_degen.s21.s[idx_900mhz,0,0]\n", " bjt_s22 = bjt_degen.s22.s[idx_900mhz,0,0]\n", "\n", " delta2 = bjt_s11*bjt_s22 - bjt_s12*bjt_s21\n", "\n", " B1 = 1 + sqabs(bjt_s11) - sqabs(bjt_s22) - sqabs(delta2)\n", " B2 = 1 + sqabs(bjt_s22) - sqabs(bjt_s11) - sqabs(delta2)\n", " C1 = bjt_s11 - delta2*np.conj(bjt_s22)\n", " C2 = bjt_s22 - delta2*np.conj(bjt_s11)\n", "\n", " gamma_s = (B1 - np.sqrt(np.square(B1) - 4*sqabs(C1) + 0j))/(2*C1)\n", " gamma_l = (B2 - np.sqrt(np.square(B2) - 4*sqabs(C2) + 0j))/(2*C2)\n", "\n", " zs_loop = net.z2s(np.array([[[zs_opt]]]))[0,0,0]\n", " nf_loop = bjt_degen.nf(zs_loop)[idx_900mhz]\n", " if nf_loop < nf_min:\n", " nf_min = nf_loop\n", " lval = l\n", " gamma_s_opt = gamma_s\n", " gamma_l_opt = gamma_l\n", " best_zs_opt = zs_opt\n", " \n", "(lval, best_zs_opt, gamma_s_opt, gamma_l_opt, zdiff_min)" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.71654949035834925" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "zdiff_min" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([ 3.72602812, 3.71656633, 3.70710454, ..., 7.36023507,\n", " 7.37740223, 7.3945694 ])" ] }, "execution_count": 37, "metadata": {}, "output_type": "execute_result" } ], "source": [ "bjt.nf(2000.)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "" ] }, "metadata": {}, "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": 22, "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(75.) ** tem.short())\n", "bjt_comp.plot_s_smith()" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "" ] }, "metadata": {}, "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": 24, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "" ] }, "metadata": {}, "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": 25, "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": 26, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "((14.453769011425337+31.967494868137187j),\n", " (28.41148437701095+33.098424068469981j))" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# that doesn't look too bad, so let's move forward and try to conjugate match\n", "delta2 = bjt_comp.s11.s*bjt_comp.s22.s - bjt_comp.s12.s*bjt_comp.s21.s\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", "# this section broke when I switched to a lower bias current so just ignore this\n", "z_s, z_l" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(54.634144641220715j,\n", " (1.0165472266293926e-07-31.88333775860665j),\n", " 57.8645657612208j,\n", " (3.290115549532768e-07-57.35952884685131j))" ] }, "execution_count": 27, "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": 28, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(5.4555087623716236e-12,\n", " 9.503053749997663e-09,\n", " 3.032448697062142e-12,\n", " 1.0064952645644079e-08)" ] }, "execution_count": 28, "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_shunt2, l_s_ser2, c_l_shunt2, l_l_ser2" ] }, { "cell_type": "code", "execution_count": 29, "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": 30, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "amplifier2.s21.plot_s_db()" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "amplifier2.s11.plot_s_db()" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "amplifier2.s22.plot_s_db()" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1.5225393220600005" ] }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" } ], "source": [ "10*np.log10(amplifier2.nf(50.)[idx_900mhz])" ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 34, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "" ] }, "metadata": {}, "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)" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.8" } }, "nbformat": 4, "nbformat_minor": 2 }