{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "Amplitudová modulace\n", "======================" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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isM0VV8hrwaG1xLV8OTB0qLri2CgcQY6Cz+eD2+2Gw+HA6tWrccMNNwRbJQoK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\nosnJSV29elX37t1reUwvepC51HS46IEzE7mah0zNQ6YIgj3IATmOI8u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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.patches as mpp\n", "\n", "# Konstanty\n", "fs=44100\n", "Ts=1./fs\n", "length=1\n", "# modulační vlna\n", "fm=500.\n", "Tm=1./fm\n", "# nosná vlna\n", "m=0.8\n", "fc=6000.\n", "Tc=1./fc\n", "Uc=3\n", "# časová osa\n", "t = arange(0,length,1./fs)\n", "\n", "# modulační signál\n", "um = 1*cos(2*pi*fm*t)\n", "\n", "# převod do frekvenční oblasti\n", "from scipy.fftpack import fft, ifft\n", "Ck= fft(um)\n", "absCk = 2./len(um) * numpy.abs(Ck)[:len(Ck)/2]\n", "f = arange(0,fs/2,float(fs)/len(Ck))\n", "# Modulační signá\n", "fig=figure()\n", "subplot(211)\n", "plot(t,um)\n", "title(u'Modulační signál')\n", "grid('on')\n", "xlabel(r't\\,[s] $\\rightarrow$', x=0.9)\n", "ylabel('$\\mathrm u_m$\\,[V] $\\uparrow$', y=0.9, rotation=0)\n", "ylim([-1.1*max(um), 1.1*max(um)])\n", "xlim([0,3*Tm])\n", "\n", "subplot(212)\n", "title(ur'Modulační signál -- amplitudové spektrum')\n", "plot(f,absCk,'.-')\n", "xlabel(r'f\\,[Hz] $\\rightarrow$', x=0.9)\n", "ylabel('$\\mathrm U_m$\\,[V] $\\uparrow$', y=0.9, rotation=0)\n", "ylim([0,1.1*max(absCk)]);\n", "xlim([0,10e3])\n", "grid(1)\n", "text(500,-0.2 , '$\\mathbf{f_m}$', size=16)\n", "#figtext(0,1 , '$\\mathrm f_m$', size=16)\n", "tight_layout()" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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UcPaJbBaQWc7MXJ/tnKkijhw7Rq1cSeBMqyBPAKh4kJOghmQrOoDcx0Lcgb7o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\nOm9+fr6SyWQqlYo2z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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Nosná vlna před modulací\n", "\n", "uc = Uc*cos(2*pi*fc*t)\n", "\n", "Ck= fft(uc)\n", "absCk = 2./len(uc) * abs(Ck)[:len(Ck)/2]\n", "f = arange(0,fs/2,float(fs)/len(Ck))\n", "\n", "figure()\n", "subplot(211)\n", "plot(t,uc)\n", "title(u'Nosný signál')\n", "grid('on')\n", "xlabel(r't\\,[s] $\\rightarrow$', x=0.9)\n", "ylabel('$\\mathrm u_c$\\,[V] $\\uparrow$', y=0.9, rotation=0)\n", "ylim([-1.1*max(uc), 1.1*max(uc)])\n", "xlim([0,3*Tm])\n", "\n", "subplot(212)\n", "title(u'Nosný signál -- amplitudové spektrum')\n", "plot(f,absCk,'.-')\n", "xlabel(r'f\\,[Hz] $\\rightarrow$', x=0.9)\n", "ylabel('$\\mathrm U_c$\\,[V] $\\uparrow$', y=0.9, rotation=0)\n", "ylim([0,1.1*max(absCk)]);\n", "xlim([0,10e3])\n", "text(6000,-0.6 , '$\\mathbf{f_c}$', size=16)\n", "grid(1)\n", "tight_layout()" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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gy7Rts/8YUM+D3KcP/ZM5B7dXAJRSS9ssNABSkBNtsdAKcg8B9yAD6gqyrJmd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\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Nosná vlna po modulací\n", "m=0.8\n", "uc = Uc*(1+m*um)*cos(2*pi*fc*t)\n", "\n", "Ck= fft(uc)\n", "absCk = 2./len(uc) * abs(Ck)[:len(Ck)/2]\n", "f = arange(0,fs/2,float(fs)/len(Ck))\n", "\n", "figure()\n", "subplot(211)\n", "plot(t,uc)\n", "title(ur'Modulovaný signál m=80\\%')\n", "grid('on')\n", "xlabel(r't\\,[s] $\\rightarrow$', x=0.9)\n", "ylabel('$\\mathrm u_c$\\,[V] $\\uparrow$', y=0.9, rotation=0)\n", "ylim([-1.1*max(uc), 1.1*max(uc)])\n", "xlim([0,3*Tm])\n", "\n", "subplot(212)\n", "title(ur'Modulovaný signál m=80\\%-- amplitudové spektrum')\n", "plot(f,absCk,'.-')\n", "xlabel(r'f\\,[Hz] $\\rightarrow$', x=0.9)\n", "ylabel('$\\mathrm U_c$\\,[V] $\\uparrow$', y=0.9, rotation=0)\n", "ylim([0,1.1*max(absCk)]);\n", "xlim([0,10e3])\n", "text(6000,-0.6 , '$\\mathbf{f_c}$', size=16)\n", "text(6500,-0.6 , '$\\mathbf{f_c+f_m}$', size=16)\n", "text(4800,-0.6 , '$\\mathbf{f_c-f_m}$', size=16)\n", "grid(1)\n", "tight_layout()" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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OYxgIMgv/Jzr56u0dXbbV4UHWpSCLkgdruDqmIMssx7e304nCO9+p5kNubKSh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\niIiIqM3/AE7acFour3kDAAAAAElFTkSuQmCC\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Nosná vlna po modulací\n", "m=0.2\n", "uc = Uc*(1+m*um)*cos(2*pi*fc*t)\n", "\n", "Ck= fft(uc)\n", "absCk = 2./len(uc) * abs(Ck)[:len(Ck)/2]\n", "f = arange(0,fs/2,float(fs)/len(Ck))\n", "\n", "figure()\n", "subplot(211)\n", "plot(t,uc)\n", "title(ur'Modulovaný signál m=20\\%')\n", "grid('on')\n", "xlabel(r't\\,[s] $\\rightarrow$', x=0.9)\n", "ylabel('u\\,[V] $\\uparrow$', y=0.9, rotation=0)\n", "ylim([-1.1*max(uc), 1.1*max(uc)])\n", "xlim([0,3*Tm])\n", "\n", "subplot(212)\n", "title(ur'Modulovaný signál m=20\\%-- amplitudové spektrum')\n", "plot(f,absCk,'.-')\n", "xlabel(r'f\\,[Hz] $\\rightarrow$', x=0.9)\n", "ylabel('U\\,[V] $\\uparrow$', y=0.9, rotation=0)\n", "ylim([0,1.1*max(absCk)]);\n", "xlim([0,10e3])\n", "text(6000,-0.6 , '$\\mathbf{f_c}$', size=16)\n", "text(6500,-0.6 , '$\\mathbf{f_c+f_m}$', size=16)\n", "text(4800,-0.6 , '$\\mathbf{f_c-f_m}$', size=16)\n", "grid(1)\n", "\n", "tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Hloubka modulace\n", "-------------------\n", "\n", "$$m=\\frac{\\Delta U_c}{U_c}$$" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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cDwKCM2fO0FXGBzQ1NWHDhg0wGo2YO3duUOyHpYSjl4/i3NVzGNFlhFs5cWKj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\nPJn0jY02R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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Nosná vlna po modulací\n", "m=0.8\n", "uc = Uc*(1+m*um)*cos(2*pi*fc*t)\n", "\n", "\n", "figure(figsize=(8,7))\n", "ax=subplot(111)\n", "plot(t,uc, alpha=0.3)\n", "title(ur'Modulovaný signál m={:d}\\%'.format(int(100*m)))\n", "grid('on')\n", "xlabel(r't\\,[s] $\\rightarrow$', x=0.9)\n", "ylabel('u\\,[V] $\\uparrow$', y=0.9, rotation=0)\n", "ylim([-1.1*max(uc), 1.1*max(uc)])\n", "xlim([0,3*Tm])\n", "\n", "plot(t, 3+3*m*cos(2*pi*fm*t),'g--' )\n", "#plot(t, -3-3*m*cos(2*pi*fm*t),'g--' )\n", "axhline(y=3, xmin=0, xmax=1, linestyle='--', linewidth=1, color='g')\n", "ax.add_patch( mpp.FancyArrowPatch((0.003,0), (0.003,3), arrowstyle='<->',lw=2, linestyle='solid', \n", " mutation_scale=25, color='k', alpha=0.9, shrinkA=0, shrinkB=0 ), )\n", "ax.add_patch( mpp.FancyArrowPatch((0.002,3), (0.002,3*(m+1)), arrowstyle='<->',lw=2, linestyle='solid', \n", " mutation_scale=25, color='k', alpha=0.9, shrinkA=0, shrinkB=0 ), )\n", "\n", "bbox_props = dict(boxstyle=\"round,pad=0.2\", fc=\"0.9\", ec=\"k\", lw=0.5)\n", "text(0.0025,4, \"$\\mathbf{\\Delta U_c}$\", ha=\"center\", va=\"center\", size=20, bbox=bbox_props)\n", "text(0.0033,1.5, \"$\\mathbf{U_c}$\", ha=\"center\", va=\"center\", size=20, bbox=bbox_props)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Amplitudová modulace nesinusového modulačního napětí\n", "-------------------------------------------------------" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "500.0" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "fm" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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AbW1tn23oyeVy9ekFT1Tvz+3884F//QvYsiWl1VISWNenFsZDHYyFWhgPa3i9gNMJHHro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\ngQmyiZKtQQYy4+z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17aKLNG3lSnlORd98o2mPPKJpZ5yhaTk5mvazn2nagw9q2mefWd0y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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "# modulační signál\n", "um = 1*cos(2*pi*500*t)+1.2*cos(2*pi*600*t)+0.8*cos(2*pi*700*t)+0.6*cos(2*pi*800*t)+0.4*cos(2*pi*900*t)\n", "um = um/max(um)\n", "\n", "# převod do frekvenční oblasti\n", "from scipy.fftpack import fft, ifft\n", "Ck= fft(um)\n", "absCk = 2./len(um) * numpy.abs(Ck)[:len(Ck)/2]\n", "f = arange(0,fs/2,float(fs)/len(Ck))\n", "# Modulační signá\n", "figure()\n", "subplot(211)\n", "plot(t,um)\n", "title(u'Neharmonický modulační signál')\n", "grid('on')\n", "xlabel(r't\\,[s] $\\rightarrow$', x=0.9)\n", "ylabel('u\\,[V] $\\uparrow$', y=0.9, rotation=0)\n", "ylim([-1.1*max(um), 1.1*max(um)])\n", "xlim([0,6*Tm])\n", "\n", "subplot(212)\n", "title(ur'Neharmonický modulační signál -- amplitudové spektrum')\n", "plot(f,absCk,'.-')\n", "xlabel(r'f\\,[Hz] $\\rightarrow$', x=0.9)\n", "ylabel('U\\,[V] $\\uparrow$', y=0.9, rotation=0)\n", "ylim([0,2]);\n", "xlim([0,10e3])\n", "grid(1)\n", "tight_layout()\n", "\n", "#text(400,-0.04, '$\\mathbf{f_{min}}$', size=16)\n", "annotate('$\\mathbf{f_{min}}$', xy=(500,0),size=16, xytext=(100,-0.5), arrowprops=dict(arrowstyle=\"->\",connectionstyle=\"arc3,rad=0\", ),)\n", "annotate('$\\mathbf{f_{max}}$', xy=(900,0),size=16, xytext=(1000,-0.5), arrowprops=dict(arrowstyle=\"->\",connectionstyle=\"arc3,rad=0\", ),)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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hJJTjzb7rVoiTte/8anlY+06IY5AzAkeOHMGmTZti18uWLUNTUxM6\nFd6OikEWG42KQQbGB4Osc5BNSzBi3EmTgywz7Lab9GbPVndC0wDf3x8/sUqnI73uOnqf7B5C6Gau\nm29WG25mSFUOX2cndebmzJE/g0kfdMtRzHDrmEQdg8zqIxJRv4dpkHWxLXXthr1HJ7Fg79AdSsFr\nYmXvYSy1TmLR3m52kJkmVlYWx49TJ0nlVAL03fn56jI3aeSZo19YaNYg6yQW7B0qNig3l/6seg9f\n3iqJhYlBZvlQTVp4BllV7yy6iWoiSoiZQe7oAG65BXjySXn6gQPABz6gLm82SZw/X+8gz56tnhix\nvmbapAfIHTpC7DfpRSJyexRUg5zJDh/PIMu+g2eQZQ6dzUl6E82+264Qh7Hv/Gp5WPve2wtkjYL3\nOiX9rxjfWLp0Keq58AE7d+5EYWEh8vLyEu49dOgQ7rvvDrS1LcSDD1JGefHixSgrK8PQENDY6OHs\nWWDq1DKcP081TQCdmdKG6MHzKMvW0+NPBzLnuqen7L3Bk+b3s5/1pw8MUNb2jTe899hKf/r582WY\nNo1e9/TQ+/n0W2+l5fHqqx6OHwf6+xPzMzAAnDnjYc8eoKsrMX1wEDh/3sPWrXuQm/tl9Pcnfs/+\n/VRTNn++vLx//nMP+fn0VKu2Nnl57NxJowBcdhnw0596KCnxp/f1AdOmleHSS+n3zJqVWJ6nTtHy\n2LuXlqeYnp1d9h6j6mHXLmD9en/6VVeVYcYM+j3UyU4sj/5+YM8eDy0twKxZiek9PUBbm4e9e+Xl\n3d8PZGfr2+eRIx6uugooLS1DX19i+rPPehga2oMZM74sTfc8mr/cXLqD/8UXPQwO+tNffhkoKChD\nbi7Q2iovL9Y+p071sH078LGP+dP7+mh59vZ62LED+MQn/Om33lr23umJ3ntOTmJ5dHcDw8MeIhGg\nuzsxva0NIIS2/5GRxHSAxoR++236vbLyOHDAQ24ubX+y8n7pJVo+BQVliEbl5Xn0KDB7Ni2vnTsT\n219jI4sXXoZ33kksz/Z2ICeHXhPi4fnngWXL5OW9Z4+HY8cSy6u/n44HL7/sYXgYGBwsi2k6WX4H\nBmj+zp4Fiovl5X3+PP2e3l55eba2eujqAjo65OnPPOO9p/cvAyHA888nlteJEzTyTUeHvDxffx34\n6EdpfTz7rIesLH/6wYN0PLj4YuA//9Ouff7pnyaWV1OTh3Pn2ATNn97VRfsHP97y6R/4AC3fF17w\n3jsMKbE8Bgbo/gzPo+PT+fN0fGLpvb20f3ge/fuBgcTyOHyYXo8Xe/X22ywmvj/9/Pl4e6RyN3/6\n4CBljh955BHMmrUYg4OJ7xsaAl5/ncauVtn3wcHxZd9Z+/zoR/3pzL6/+qr3niwwsTynvWffz59P\nbJ/XX0//no33l1ySmJ+BAaC52UNRkd++79mzB9Fo9D2n+SCi0YuQVhCHQFi7di2pq6tL+P2tt95K\nbrjhBnL6NCEXXpj4dwsXEnLkCP35/e8nZO9ef/r+/YRcdRX9uaKCkF//OsUZTyEWLCDk6FFCliwh\nZNeuxPQlSwjZuZOQ06cJmTcvMf1v/5aQf/xH+vNHPkLIM8/40wcGCJk6lf78gx8Qcscdic/4n/+T\nkEceIWRkhJCsLEKGhvzp775LSEEBIc899xwpLyfkt79NfMZXvkLIv/wLIf/n/xCyYUNi+r59tE7e\nfJOQq69OTCeEkL//e/pvxQpCXn01MZ2VQVUVIY8+qn7GsmWE/MmfyNOffpqW0xe/SMi3v52YfuQI\nIcXF6vImhJC5cwk5c4aQf/onQh54IDH9wQcJ+bu/I+T4cUIuuSQx/cQJQubPpz+ryrO8nJDt2wn5\n6U8J+dM/TUzfu5eQ4uLnSF8fIdOmyfPJ2tTq1YQ8+WRi+qOPEnLXXfRZ73+//BmzZxMSjRJy+eWE\nNDcnpn/hC7Qc//qvCdm8OTG9p4eQnByi7MuEEPLpTxPy+OPxti7ixz8mZP16Qh57jJDKSvkz5s+n\n5V1aSsihQ4npf/VXhHzjG/G6EdHQQMiHPkRIby/Nrwwf+AAhv/sdze8Pf5iY/t3vEnL77c+R+nr6\nLBFHjxJy2WX05//232hbFPGRj9DfP/kkIWvWJKY/9VT896xuROTm0nL/2tdoGxXByvPnPyfk9tvl\n31paSseSRYvk6QcP0rS8PELa2uT3XHkl7Y/r18vTP/EJQp54gj6jvT0x/Te/of3g17+m47gM06fT\nOrv0UkLeeScx/SMfIeThh58j//7vhHzmM4npX/86IV/+Mv2ZtysM0SjNHyG0fu+5J/EZK1fG+3BR\nESHnzvnTWXkTom47n/kM/f2Xv0zzlKn44z+m7eLXvyZk1arE9DvuIORf/5X+/KUvEfLNb/rTf/xj\nWu/PPfcceestQq65JvEZfLu++GI6XvJ44QVCbrqJ/qwaMzIFubmEdHVRO3/sWGI6s/9vvikvi7vv\nJuR736M/33hjol08eZKWESF0/P3qVxOf8clPEvKjH9F2WVCQmP7224Tk5t5Kbr311kDfFhROYhEA\nNTU1+MQnPoGPf/zj0vSCggLlEgy/TDNNsgRjq1E6fly9mWu0wEssVLpFFhPSdLSn7B6mQwXMIn5V\nnE62tFxWVhZaYsFCYKl0kUA8qoLqGWxpWLecf+oUje+qk1jk5anLm32HTo/N2peqLGwPewD0kpTp\n09XL+XRzUhmmT6ftX6Yhs9Ugq/JJiFkCxEssZMvxbJlctxRqkliwOiko0G/S00ksTO2TP41qZERe\n5iYNcl8fsGiRWoPM17tKw8nKQhfmTdd2mCRg+nT9O0yb9Hp6aHQTVT87c4Zu7tTJHzo6aLpKqsTa\nlkr3zbT+KnkPZdD9EQ1E9PcDK1ao4yCz9gvIZQN8eeuWsPkxWFwGNx2/DGRWHORdu/QHs+g0yLzE\nQma/2Sa9svc0yLI9Rqmy70eOJB+nOxmwcURXr6ZjtVNp31VjSldX/CCSdMI5yJZoaGhAaWmp0jlm\nUHUgfiesTMRvq1H653+mO63TiWeeATZuVKfbapBtO5BsQ4NNB2IDjs5BBvRRLHSb9JgukulIZQMw\ni6qgKgu2oUYXMeHkSeogqyY+TKuqc+RnzKD/WJxgEbwmUacnNB32AKidQpNunD98QKUltdUg604I\nmzKF/lNNKJiDodK7sjplTo6s3pnDptLusvJU6XaHh+PtL6wGmZVVJKJ+j0mDbKPDN/VFXrOoC/MG\nyPvJ0FB897/qHew7TA7y/PnqfnbmDN3ceckl6o16nZ00XeUg8xMfWdvhJ1e6Oo1EzPWq6gOmsc+m\nzkxjsI2DbKNB7u0FPvzh9Ic1Ky9XRwkyaZD5TXoy+22jQU6Vfd+wAXjiCXlaqvDEE8DWrfK03l6a\nz6yszLDvrO2J7cc5yBmExsZGFBUV4bbbbgMA1NbWSu+LRqNJMcgmhg6gMTqpjip9aGwEfvpTeZot\nA8Iat6kDqQZ4niEJ4yAz1tXzPO0OfhNDl5sbz4vsGcx5VTljbEONiq0EKJu1eDE14DJDwr7F5CCr\nBjW2S33qVDWLIjLIsjierBx0zIJuY1BPD9DX5wEwb6BThXljEw6VU8mHp1JFTTA5yMzJmTqVlqls\nwsucQtVObvYOFYPMwq9lZekZZN1JejyTqCovU5i3vj6gpUUdB1k0Ziom0SbMGyBvOzYG08Qgs5WD\nOXMoCybLZ2tr3EGWMchDQ/Tv5s1Tr8QwB1d1ZDuLxqGb9LD2qVvheOstTzlmBHGQdRNJXVx+tomP\nvSNsFIu9e4Hf/lYfLzxZUN05ZV9lMLVPWwbZ8zypA01IPNIFkPn2/fXXgV/8Qp5m0z5H075nZ9Mx\nUqyTzs54eacTbpOeAU1NTVi+fLnvd6WlpVizZo30/rAMMt+BdDPMpqb0z5xaWujANjgYd+oZRAZE\nN8NkIXFGRvw7TlMxw+SXrGSdkHeUdA7bjBnUedRJLIA4i8xOCGJgbKOqLGwkFidPAqWl9DvYsjsP\nnkGWvYMZKiDOOjH2HEjcNaxj06dMoe2LNxpAMIkFWzKXlYWpjfPyB1ksZTa4JuOAsHpVhd5jdco/\ngy8L9i02EgsVs8vXs2qywJ4xMqJ3wgG580qIn0HWxUE2rQoA5slVb6959UHWhm2c8O5uGnpKVafn\nz8dXDphjecEF/nsYgzw4KGeQ2WRCFxmH9ROdxGLuXHWd2jog06ap60R0kMUyH00G2RQms7GR/t/S\n4h+TUgnmUJpOpMzKMod5UzHIfBxk0VkbHqbPZjYurH0nhH6DKnJOqtDSEq8XEab2ScjoMMgy+877\nIt3doxPFwjHIBpSUlGBkZMT379ChQ9J7WRzkoaFEBk5kkGVLMLxGSdaBBgeBd95J/wyzpYXmR3b4\nhc0Azztkstm0zQzTVqOkegZLT0aDzDsgKoNoK7FQsUEjI5R1uuACdWxf5kyZNMiA3KiKTo5OTwjI\nnSnRydGxjTqJRUlJGQD1EjR7j2p5WXyH2M/4+K1hJRaMQQb0TLVOYmFikNmkR/cOVic6llrXTwYG\nqBFh2nOVg3z99XYa5GT066wfyeqEH/t0Egsdg8y3X1W9Mg3yvHnqfpaXpw+XaJJY2ITus3GQb7ml\nTNlXxfIKO36aGGQ2RptkWToHedcu+r/qUJ9UgNlDFYPMHHndUdM6BpnZ7rKyMm06Q1j7fu4cbeej\nYd9bWuSrKKb2yYg+duBJWAY5FfbdOcjjEGwmKQbY5hlk0xKMyrAfO0YH8NHoQAsWyGeZtg6y7eCb\nLg2yuMwYVmLBO42yfJj0wcyRUmmQec3XvHlyHTKLYWySWABqB9nkgPD1KrtHXCbXnaBk0qoCcoaN\nP4zE5CBnZ9P+JLYd/jvCSiyi0bjzqnPIdBIL3pGKRhMdeVanrCzCHGQjMshimdvo8HkZUX9/4rhl\ny+7qlrBNkyvbjYAmB5nVu6qvMYmFqjzZRFR3ehd7j0piwe8HsHGQdfWairFvrDXIjY3UlqTbQS4s\n1EssbE/SkzHIppP0+HQgvH0/coR+R7rte2trePtusu3A6Nl35yCPM0TfGzFthP66RqMy7EeOAEuX\n0mfpjlNNFi0twEc+Ep/987BZgrEZfPmTi0wdSBdInD1DNsOcPj2uQQ67SY85IConxsQg8xpk3TG9\nANVPvvtu4j22m/QAuXG3cXL4Z8icqVRFsTh3zgMgLy9+05lKU8s76rL32Go8dVEsWLvQPcNWYjF1\nKnXmxTbOokuw7wgzgTOVBZMMmN7R3OzFtNA6+YPMeeX3JOiiWPAMss7oht2kx9e7qq+9+y7tY6ry\nFCeiquO/+YmP6lttGGTVON/fT2NC2zDIsntsogTwGuN0Ocj9/cDvf09PN0y3g3zLLXIHmUVl0E04\neHukY4g9z7NikJOx7zffTOU/6dzUaGvfZfmUnRgo5tV0UEiq7LtzkMcpxE7EogqwCjWFgdHNMEtL\n6ewvXbNMQmgHWrUK2LcvMZ1fypQZKzbY8N9qYpCTXSLUOci6Z9iGeQPkBo+QuFFV1ZlJYmFjMPlN\nejpNLWAnsbBhkHUSC5WTbSOx4FkUk4zDFG5OVidBGDrdxjXdO0ZGzKcXmthdcUISJoqF6R19ffo6\nZfnQhZ8y9UWWrjsVKwiDbNqkxwyuGKmFn9ToVmt0E2LWz6ZMoeOSrk5Uqw+sTqZOpe1Ed0KdSYMc\n1kG2HT91JAafbnKQVf3s0CFg4UL6L50O8vHj1EE+elS+AjJ9elxqNJYMso19v+462s5l+y9Sgb4+\n+u+WW9T23ZZBzsqSl8do2XfnII8zFLy3s0dsNDYzTF5zo3JAmIN86aXpc5CZsV+wwOzQyTo6PxAA\nyUssdKyUjZEoKytLiQMie0Z3d9wYmjbpqYy2jcE0RcowMchi29IttbNv1UksZOU9MhKXR+icnPe/\nvyz2DhWDrMuniX0IwiDbRF2QPYPf9GPD6svaTqokQDbOK3uHqt7/4A/KAMilM6bVB5uJqMh068pC\nNfYxBjkSUU+MWHmrGGRTefIbJ2Ub9QYH6aR42jQ1g8zali6fNpugVq1S752w2aRn6kdBJRbiMwiJ\nT8x15VlYCFx0UfoZ5CuuoO8SN1/Kxi0Z48kzyKrVX5UGWdzMnsn2vbWV1kdhoXlFM9Ptu3OQxynE\nTiSbYYbR5Rw9ChQXp7cDtbTQDqTS4QWZYQLyGeRoifhtGWQd06hzckStqinMm2pA4jeVmRhkUz7D\nbtITy0vnxMgMJmOcIpG4sZCxZ7pvNTGiYj5MDohJg2zS5arewUdIsWGQVU6hSb4TVIOcjBPOviWo\nPlimb5eFCEy2r7KJJiBffbDRIJscZF4XLjt0h4/go9Ig83ViyqdqwyLfj4aHE1nR0d6kp6ozFjVE\nVZ5s9Ww0HOQFC6htPHrUn8aXBdu3oGM8ZVEqePvN9hfxdcJHuQDC2/djx+g3pHOFmLfvsnErjH0P\n2nZSZd+dgzzOwGuQ+U4m2+WqE/GrGg1jODLdQWbfAYSbYdqetJOMBpkxIMxBlm1QMjk5vMOncsaY\nkcjJocZOzKfo0KkMt60GOewmPZOTYsMk8vUue0ZPD3DsmAdALbEI6iCbNMimTVCySBiikyPWK++s\nmTTI7Ft0chJZ22JtJSdHrYk1MYW2DvK+fR4AO/mDrt5VDgj/rSaDqdukpxt3RAdZx46pNlayiSgg\nr1dexmGKfw2Em8CxsvA8LxYFSDehsHFAZG1reFgfdpTXKMvqnW/fug3Ks2ePjoN86aW03nX7LwB5\nPxHjIKvCvLE6Ee27yCBPJvsu0xjzjHw67Xskov7OVME5yGmAaCREBlkl4jcFZmeGWXcSVLJgSzA2\nHcgk4gfCzzD5spBtBBAZkKBRLBhTwwKR5+TIl9J1xs7kSAHxOotE5Mcnmww/YKdB5p2xoM4t4C9P\n07ea6kyVD16DLJNY2AycJsfSNMDzm8qmTJEHoRfbjswZ4ydGNhILXZ3oJguMSczKkhsaWwdZpw+2\n1SCrVg7Eetex5WEZZBvZi2mTHs8gyyY1vIMsY9hsdOOig6xz5E2rKIC8PEz6YJMzxpxf5mCEGaP5\n8jZF8LnoIvUpocmir4/mpajITA4A8jYsxkG22YQnEmCptO/z56fPvqdjhTgZ+267wuEkFhMATIMs\n60CmGaaNTpR1oKKi9J3XzjrQrFm0c4isatAOpJphmvRvrCyYg2ByolVGVxUHmTd2gHyQ56ULKhZQ\nd0IYEGdRAPnSr03cyZER+i02GmSVQTUxdEEYZJNRBtSyghtvLFN+a1ANskn+oGPomHNgqleZ85oK\niYUpnXdA2LeI7wniIKvkJL29wIc+VKa8x+RsyRxk8Z4gDLJqAidOKGSOJ89oyrS9NppZJpmS1Svf\nVxzVueYAACAASURBVG02eNpILFTts6ysDIB5QmGSvbDxlScY+PGXv4eHjYPMb9aWrcCx1TMW311M\nTwVYzPJIxCwvA+Tty8QgM4KL1YmMABtv9n20CDCTfZe1X3aOBJt0OInFBENYBtlkJPgYnKpT2ZJF\nSwuNx8vCPomGJB0zTF266p5kNci8QQXUDrJu41oQBhmQM1smSYDo/A4OynfwB2GQZXITvsxNG6lU\n5W1ayuQNdyokFjLn1lSeIkMXpl6DSizCbNKzbZ+6eg2qQVY5WyaJBd/fw2zwtGGUbBxk3bh0/jxd\nLWIbak0aZJkDEYZBDto+RYfOZmyT7fFg6WyFjB8z+HQgeQdZtQLHyIHp02k/kYWwTBb8gTuyerUZ\nl2zDvDGYCLBMtu+trdS+jyaDHDRdJuNwDvIEANMg2zDIYUT8zDCrdlDb4he/AP7v/5WnvfsuncEC\naiNhYkBMHYifsZs28cmewR93CehZKc/zlAyd6IDoljttJBa6jSqAPNSbacbOvyMSsXOiTRupZIMN\nH5pPxQKa2EobR4npXcNKLEysqMm5lS1hB2V3eYmFTouqqxMbBplvn7IJRRANsk5isWOHp3yGafVB\nxtDp9NamyZXsHSMjfqfO5CCbGHlWliKjadIg85OWsA4y3y507dPzPABm1l5Wnqbxk5dosHTTaac2\nK3C6iWRRET0xVER/P/Df/3vi+23BHwtvyyDLHGSbMG+sTkwEWBj7Tkh8ZSpZ+/7448APfiBPY/Z9\n+vR4v+Ix2vadMfb8CodsFdpJLCYQbBhkXZxE00YV3Qxz3z4anF2H734X+OlP5Wn8jNzEoqh2Yaea\nQRY72dBQnBlhzwjKIItL2Kp7TE4ML7GwYZCDSixkjlIYB5kNzqwsdQOSaandRmIhc5R4wxxGYsEm\nRjpWlH+GacKheo+JrRRlHCoG2Ta0mY3EIuykRTeZGBryb9aSTZ5SIbGwYZBt3sFkMSaJhSmdMZ5i\nmfMHq5g26ckmeOK3qiaBuvYZlEFWpescZBsG2aRzFlc4ZGXOkwMqm7VvH/DMM0B9fWIaj1/8IpHZ\nBRIZZJODLLOtvEQiVQyyzr6r+sjUqbQv6uz7rl3AO+/I0xi++U3g6aflaay82GFMqbDvOgfYZN+Z\nhFKcwJkcZMcgj0PwcZCDMsgmjdLwMP3djBn6GebmzcDtt8vZDYBqwV5+GXjjDflpPR0d8Rm5rAOZ\nGLowUSxMDIjYyWw7UBANssoB0TFGNgwyr0GWGcQgoc9UzwiiQc7KkjNKJuc2VRKLm28ui32rrjyn\nTKHtk+9H4iE0JgfZpjxt9ME6B1nmSPF6V9t3mBhkGxY6qMSCtW+mQbZhocNILMSVARuHT5zA8W3L\ntEnPdsVINtFkfVE29pkYZOYUsbFexfrrJl9hNMg6iQVgxyDrxmhZnfHtG1DvB2DlWVAgd/reeIM+\n///9v8Q0hp/8BPjoR4E330xMExlkU9xelSTFhkHWaZBNDLJplYS3Azr7/vd/D6xeLZ8sAJQc27+f\nlqsME8m+uygW4xQ2cZCDhoFhA3xWln6GeeAAfdeWLfL0ujrqQM+aReMuijAxyCbWKlUift0ALg56\nJlbKxP6ye4Iug/MOtCnMG2CnndSxw+w9sntsmUQgcYC2dXKCRLFQOWx8pIyg7K4NSy06ICYNssnx\nlDk5vDM2bRqdvIr9PSsr7iiF0Qf39NjlUyehCNoHTBu+UhXFQlcWsgmcWO9hokPY9iNduESZTIOH\nzeRLZJjDtE/eAVZFZTAxyDYOsknCZuMg8xuUZTZr717gnnsoQyxbNT1/HvjiF4GrrqK2TQRvr8JI\nLIaHqaOVnU2vU8Egh7Hv/GTCZN/7+oCtW+XpTz4JfO5zdC+RLBZ4qu276NyyuN2sPFNl32WSFccg\njzPwcZCDnqRn0omKGjtZTF1CaAfasAF45RV5HnfuBMrKgOuvl88yg3YgE6OkmkGy8rDV0PH32Ir4\np09Xx0EWB/gwOlHZbJtnvlgd6ZZ+TVEXZAxyMhIL2T22Tk6yEov+fmDXLg+Amt3V5VPmKAWVFdgy\nyDqWT9SFi88QnbEwDDJbLWIwtWFTvbNDJ3jDzvKp07umQmJhE8VC9wyx3pPVIANqB9jkIPP97Px5\nv47Z1kHm26du7wQQbpOeiSEOI4MzrRiZGGSV0/fGG8CHPwxcfDE9mlrEsWP02evWyR1knkGWSSxk\ntoJvW7wtAuQMMh8Hmd2jI8DC2HfeDqgY5N5e4PRp4MtfBl59NTEdoPa9vBy49lrgrbcS09Nh3/lv\nZfpjxu6m0747B3mcIh0MMj/YsJOcxAHnxAl6z4oV9NhKGY4eBRYuBG64IXkH2YZRSgWDnIzEArB3\nGnUMm8nJYadK8flgRtuknUy1BtnGAREHJBsdqclRMkkseMNtYtdkz5A5yDoHRFanthpk23qX3cOv\nLNjk0+Sks3uS0SAzR56/RzYhMemDTRMj8R2EBJfniOOKrYNsq0EGzBNNWRxkvq9GIon5lLWLoBtR\nTRpkFnEmGYlFKsK8yVaMxDZs0iATQm3QDTdQm3T0KBLQ3AyUlADXXEOlAyJEBtkUFUQsc35DGSBn\nkEX7bSLAwth3ceNvb29iPt5+G1i0CLjySrN9TwUBFsa+B21b7D1OgzwJwGuQgzLIvJGQbaTiHWRA\nftTpgQPA1VfT4yrfeUeuU+I70N69ielBO5CYT3HglEWg4DdF2G7SC9qBeC2fyUEB7DTIJjZSNMy8\ngZClA8EPDgijQQ4jsTAtk4cxmP39wMqVZcp8BpVY2DjIMqlSEA1yGB2z+A6Vo847yKbNWqbysql3\nMZ+sTpm20vQMW4mF6IBkZ8eXXG1XH4I6yKnQIPNOtOyoadPKgGw8CNo+2TNUdcLKU7dB2UZiEZRB\nNtV7GInF6dP0O+bNUzvITU3Unl19tZpBDiqx4MvLlkGeOjVeJyYCzGTfTQRYVhYtN1Eiwez7okV2\nBJho3wcHaT5YP7G17zxM9t0mRGuq7LtzkMcpbBhk3RIM0+HJ2EgG2aYH1oFycmhw9uPH/enDw5Rl\nvuwyoLQ0cUAaGaEdVXealMiaRiL+bzVplJhzzJ/iFHQJRqZRSgWDHFRiITpCIrtrs9M7WQ0yIXa6\nsSASC1l58g4da7/ixMik9eMnijYTDvEZMsbTxMwGfYd4j41W2kZiEZSlNrHpYnkm4yAzmPTBthIL\n8R2m5VLTCkdQiUUqNMiy5XqxP4ttI6jEIgyDLOurupUaIPlNejaTmjASC8YORyLUqZPtiWlqovdc\ncQW9X3Re+U1ntlEs+HyKtiZVDLJJYiFzkG3t+0UX0ftF5zYapWNyYaHcvrMwhsz2pmOPkcl229xj\na9+dgzzOwGuQg4r4xVm9aCSCMMgA7SDiLPP0aWDOnLgDfeaMP72rixoAxvaYOhAgH8D5ASkVM0zZ\nEoyNRolpkGUREWyXhvnBwrTULrK7ou7RZNjDaJAHB+Ohclg+U2F0dQaRbUAzRcIQnfCcHOD55z1l\nPlOtQZ4yhU76+Ho3OTHM8eTD0ZnkD2LbCKpzDrPCwdomfyJgUBkRSw+iQTZpEsV32C6XBq132abG\nIBpkWT8aHtbXu/gMGYMcZIWDObeyiaZKgywr7zASiyAM8tSptB/xh43YMMgmicWZM5Q9BswSi5wc\n4JJLEm2ayCCbwpJNn54YgYK3NToGmdVJGAmlSRbDSywAvX2PROT2nbHHkYjcvvOrw0A4BjmT7LuL\nYjFOEeYkPbHRiEZCdJBlM8zmZtpxALoMc/iwP/3oUeDyy+nPrAPxg3PQDgSYB/BUzTDDSiwA+UYq\nGwfEFFJM1JqKDrBMP6wL88YYKb5OTBpkW02tbhk8aHmye8Ty0hlMG42yjDXVMYkmByQSkbPQNjIO\nnW48DINsimbQ1+evd9NkwabeZRupdI6nzNkSJxyyiWYQfbsNg2zSIJskFLJ+ZNIgs76sq3fT4S02\nGmS+3qdMoeOLbgIXpq/ajJ8mBpm/h+mtdfUaRmLBO8iXX66XWADUpjU1+dN5BtlGYiGzR7oIFUBw\nBtlk32UT96D2vbTUzr7zCGrfZSuFMvsuSlZGy747BjlD0NTUhC1btqChoQFbtmxBhyIGC9MghwkD\nIw5aopEQJRayGSY7Zx3QzzAB+qzsbP+AEsZBNg3gqRDxy3a52kosVFo+E7tms9HKxO7abLDj65Vt\n9OPLw6RrNDmuqm8NuknPxFzZsIC6+pB9axgm0TTxkTkxpvRkN+mZmNns7MR6D/odYSUWOTn2GmR2\nT5Ad5zYSC9u2o/tWvq9NmULLlB9jTRIL28msiUE2aZBtV0lUcZBtx74gYd5sCBtTvYplMTLi7wcq\nB/nCC+nPJgYZoM50a6s/nWeQZbIZmYPMf0cQBtlWg2yy72zirpNQJmvfU0GAqVYKTfbdJDdJlX13\nDnKGYN26dbj33ntRXl6Ou+66C5WVldr7x4pBbm2NdyAZg3zsWLwDAYmzzLFgkMMyIEE0yICdg5ys\noxSGQRa1Z6ITbXpGGCbRtEnPxomRGcxkypt9S5CldpnsJYxjaXJydCwgkOhkB90IKLvH5jvClEWy\nkytT2wnLIOuc8KAMMmDui6Je1aavmlYGZO0ijHQmWTmUSUJhGqNlzwjKILM+wJwYk4N84YX0b/g6\naW+ntnPOHHp90UWJDvJ4YJDFjelAcPs+MgKcPRsvL5N9z8mh//hnmOy7uJ8FsGt/ydp3mcTCOcjj\nBI2NjSgqKopd5+fno15xLibTINswyKYBSexAJo3S8DA9Z/2CC+h1SQmdffPgZ5gA7Wz8gCN2INlO\n7rFgkMUOZCPiF7V8QR2QME5OKlgpUYdsw1YGZRJNDJ3tMngQJ8ZW72pikHWOqSofQRhk2d+nS2Jh\nKq9UlIXoxMi+1VaDLLvHtGksjMQizMqBTZ2IcZDTzSCLbYfta9B9K3uGqk5sNunZRLHQpbNQcrzN\nCtrfxQg+Mge5tTXu8EUiVB7Ab9TjN/EBlEFuafE/g2eQp02jjiTvvMomHLqySEUcZLE8mXPMO3Qm\nB1m0721tNJ3Vva191xFgon0/fz6++sJg6s+pWiEOYt+Hh+MHvKQbzkE2oKmpKSadYCgqKsKePXsS\n7j179izuuOMOvPHGg/jJTx7EI488As/zYh3I8zx4nhdbgmHXAG0gr77q+QbGl1+OX3d3A2fPxq8L\nCoB9++LX584BM2d6ePFFer1wIXD4cDwdAHbv9tDREb/OyvLw7LPx61de8TAwEL8+csTD8ePxa8/z\n0NvrxYwA/TYv1ng9z0NTkxdr3J7n4dgxf/qLL3qxzuF5Hl5+2YvpnFh5sA7El9fAQPyasZnsmnUg\nvjwHBoDXX/di9ZSTA/zud/H0/n7g+PH4dW4u/V523dcHjIz403t6/OXZ0uLh4MH4dVeXFzsIAwAa\nGz10dsav337bw+nT8etnn/XQ1+cvT8CLGVXP83D4sBcz3J7n4cQJL2aIPM/D737n//vXX/diAxor\nD94R8jwvxtCpypMN3uyaGcyXX45///TpwIsv+subL8+cHKC52Z8+OOivj95ef3mePu0vz44OD7t3\nx6/37PEQjcavDxzw0Noav37uOQ/9/f72NzzsL4/Dh/3ldfKkvzxfeMGfvmuXP93zPJ8T43lezDlQ\npcvKs68PeO01f/t67jl/+zx2zF+efH/u66Plyad3d/vL8+xZD/v2xa97ejzs2BG/fuMND+++G78+\neDCxPPv6/OVJiL8/Hz3qTz9+3J/+yiv+9B07/Ok27U9sv2J5Dw5Sx+ill+LfP2OGvzx7eoATJ+LX\nM2fS/siue3uB4WH/33d2+suztdXDgQPx6+5uDzt3xq/37vXQ3h6//v3vPZw6Fb+ur/eQleXFHBBW\nnnz7bG72Yg6d59G/15Xnrl3y8pwmjJ/nz/vH1+nT1enDw9SZ48fL6dOBF17w92e+f+fm0u9l193d\nwJQp8ev8fL/9YuXDj4ezZ3t4+un49S9/6WH27Ph1W5uHN9+MXzc0eOjp8WI65+ef9zB9uheb+Hie\nh3fe8ZfXiRNezBnz3hsvp03zXzPnl5UHI7j27NkDz/NiBJiYzpcnb99Fe8bK8/nn/e3z1Cm/fd+z\nJ37d2krLh10vXEjHP74833rLw7lz8evp0z385jfx6507PXR3x6/feYe2N4bt2z1MnRq/9jwPkYi/\nfR0/7i/PU6f85fnaa/7y3LnTny4rj2nT7O37I488gr//+weRnf0gDh48GCMl0wbioMXWrVvJ2rVr\nfb8rLS0lu3fv9v3u1ltvJbfeeishhJCqKkK+97142g9+QMgdd8Svd+8m5IYb4tcjI4REIoQMDcV/\nd/PNhDz/fPz6f/0vQrZsiV//278R8pnPxK/37CHkuuv8z5w9m5D29vjv3vc+Qg4ciF/feSchW7fG\nr7/3PULuuit+vWsXIYsXx6/PnyckO9v32eTGGwl55ZX49f/4H4R8//vx68ceI6Sy0p9P/tsJIWTK\nFPpshiVL6LsZvvhFQr71rfj1979PyOc+F7/euZP+Df/tWVmEDA7Gf7d8OSGvvRa//tzn/Pn813+l\neWd49VVCVqyIXw8P0zoaGYn/bulSQl5/PX79+c/7y/Pb3ybkC1+IX4v13tVFyIwZxIcbbiCksdGf\nz5oa/7fz+XzxRUI+8AFzPnfsiF+LdfSd7xByzz3x68ZGfz77+wmZNs2fzyVLaLkzVFbSumZ4/HFC\nPv3p+PUrrxDyB38Qv5a1+eXL/eUp1tGjj9K+xSCWpyyfy5Yl1lF1tf/b+Tqyqferrybkrbfi12I/\n+sY3CPnLv4xfi3V0/jxt8zyuucb/zE99ipD/+I/49fe+R8jdd8evn3uOkPeGG0IIIX19hEyf7n/m\nddcR8sYb8etPfpKQH/0ofv31rxPyla/Er8U6GhggZOpU/zOvuoqQffvi15/+NCE//GH8+rvf9efz\n2Wf9+ZQ987rrCNm7N379539O2w+DWJ6vvUbbCkNHByGzZvmfee21/m//7GfpmMlQXU3bAoNYnrI6\nuvpqQt58M379qU/p8/nSS4T84R/68zl7tv+Zsjp64on49ZYtdOxneP55Qm66KX7d2Zn47SUlhBw+\nHL/+zGf8dbRpEyFf/Wr8+tlnCSkri1/39BCSm5uYT76O1q8n5Mc/jl+LY11jo9929PYm9k2xH1VV\n0fbDsHmzv33W1/vz+e67hOTn+595ySWEHD8ev/7Yxwipq4tfi21ebJ/t7YTk5fmf+b73EXLwYPx6\nzRpCnnzSn8+//uv49fbthNx2mz+fhYX+Z159tb8f/cVf+Nvnli36b+/ro+XJj5+FhYScPRu//tjH\nCKmtjV//4z8S8rWvxa9/8xtCysvj16dOETJvnj+fpaWEHDoUv779dkJ+9rP49T//MyEPPODPJ//t\n0Whim1+wgJBjx+LXn/iEvy1t3EjIfffFr3/9a0IqKuLXbW203nmfK11wDLIBc+bMSZiltLW1af8m\nqIifzdh1SxumOMitrfEdwUA8tiTb+DAyQg8PYbtcgeAaZHEJEQgnseCX7ti3BgkVY1q2HRqi38+X\nuY3EQrdcKotNLW7GChrmTaxT2T2mzYKyfIoauKCb9Ey6M9k9QfWuso0qyWqQxXTZM2w0yPwzWL0H\n0afb1JmYz2Q1yKyPmGJT6/Jhih4hy0fQtsPGRv6IZptNerrlfNm4JG6QC7pJj8VqFzf6if3ZJLEw\n5TPo5stURLGwCQPH/73sPUElFjk5cYkJA69BBhI36vEb9IDETXq8/phB1JabNMg2J+nJNMZBNuHL\nylMmsQhi33NyqDb79Gl63dFB38P02kBq7HuyEgvRdsvuEZ9hauOycSldcA6yASUlJVKHePHixQm/\n4+MgBxHx23YgUcTf3h6/5ne4MvChc1pa6N/wHcCmA/GDjaoDJSPiB4KHiglilNkSVNBNY6IGGbDb\ntR5kk56oKwfkTnayRjfZTXqiJkx2j62Twy8JmnS1QR0l2cBp0iCb8gCYN0aqNijx79Dpi1Xfosun\nmIdIRB5wX6fHNmmQxTpl9wSJgCKms3zqNIeydwR1kEX9rykOsthXAXN/DqpBtplwiHUSdsJh2qRn\nclBMDrJpkx4f4g2g9c7rkIeG6M+8Qyc6yHyIN4DaN16D3N7ut1dAorY86CY9mQaZl0jK7jFtwrex\n76ItCGrf2QY9XpebCvtu6u8m2z11Kk3nJ+6mjXxhCJt0wTnIBixZssR33dTUhIqKCu3fBD1JTzYg\niQ1TdJDnzqW7WhnEGSbgH3COHfOzx4CdiD8VHcjGQQ4i9DeJ+GUdKKiDrDK6OoMYdJNeGAbZFOYt\nzLfaODniO0xOtOiM2dRJmDBvQRnPMCyf6OiE2aSnY39lz7DZWGmaGAWdUIh9WVaeQSdXYVcfgvZV\nmXObDIPMnqHrrzYOcrJ91VSeshjFyW7Ss2GQTZMW0V4Bfgf53DnqHPMb18RNeuwUPYaiIsp4srye\nPRvflM4g2iwxnzYO3eCg36EzMchihIqJZN9N7c/Udtgx83x5pcO+pwvOQbZATU0NtmzZgrq6OlRX\nV6OmpkZ6H9vMZ3MUZdAlGHFwvvDCxA4kzjD54zvFHa7sGbooFszIMHYiHUsw7Bm6QUsmsdAZEd7I\nsNiVJmMlc2JEg2mSYQRlkMVlNXaPaLh1rJQNg2zD0I2WxILVhyyfJomFmG7rgASJ+mGzXJ+sxMKG\nQbYpi6AOsqlOTO1Gdo9schXGyQ4i9TAx9uwe0bnVhXkT0wF/f5WFwDLVWZjJLHuHqk5s+mLQJeyw\nEgsdgyxKLAC/g8xHsGDgHb7hYSoJ5G1WVpbf6ePDnjHIJBa6bxUlFllZdNLBM/KM4GJ1IrPvOgml\nqjx1EovRsO+yw3JSIaEMat9l7dPWvqcbU8y3OCxZsiTGJK9evdp4v4lBtlmCkXUgfsCZM4eGgRke\npjO0lhbg+uv9z1i4EHjxRfqzrAPNm+efYUaj9Bx3hqysuFGdOdNuhmkakMIyyKLDlpenzkOmMsjM\n0Wd1lg4Nss23Tp/uX74bGKCMBZ9uGpBMLLMpD6p7ROe1s1P9DJXDp3tHGJaPrxPxKGpZPmxkMcky\nyLJnmMqDRmJRp4tjjs2KkekZtpMr3QqGyUFOhwaZPYPVe18fzSO/TyQ3l4bWVOXDdgJnKs+gk9Wg\nToxJo8zeoatXGwa5sDA+7vCn6DHMm0f7e28vLdeiosR6ZaHeLr1UzSAnI7EA4iwyq2vRAZaFeUtW\nQilKLC64wO8gt7TIGeSdO+nPNva9vd1v38MwyDJ2N4h9l8WEdhKLSQJeg2xaghFnmCaHTuxA2dlU\np8QGaNMSjKoD8Zou2aye70Rh9K7pmmGmQ4Nsw0qxe4aGEh0lE4McifgNt8pB1jHIJjZT9a1BGOQw\nrJWJUWLpvAaZZ+3ZBp4gTjbrU6wvyRyQoBpk08SIOaa81s/EINvII5LVIIv3MF2qaaNqbq66j4RZ\nMQrq0DGDGcRBZu2XLYPLVntkGmT+HlMcZMDfF2XpMo2xzEHm82k7mbXVIIv3DA/T/3lHPhUMssmR\nN2mQAT/729KSaGuysoDLLqOsqLhBj4HfqGcjsZBNOHQMMpBov/kwboB8k56JQTbZd3FCUVREGV/2\nnnTY95wcmk/2Dtv+nox9Z74QP34mY9/TDecgpwGmJZiwm/REZ4qfZcpE/FdcARw6RJ8j0yjNmUOX\nwljjk83qeaYlHRolm3vEQU01i2WGSOUoBWXoZAaR3cPKgu/oplPw2D3MqMocZNFwmzb+mIwu09OJ\npzjxZSHW2ZQp1Llixla21B5UR6ra8MXywXR6vCbRtNQO+OskFQyyio3kmUSTcytOaqZNo2MAK8/R\n0CCz8tY58iq2MohDZ5pcqSQWrO309ycaTBMTLkYWsdlQKzogQRlkmQTD1Hays+OblFRlYWqftpNV\ndk8q9njYapCDMsg8o3n6NDB/PhLAdMi7dwPXXJOYftFFiEVukDnIQaNY6BhkBtNJeqlgkEX7np1N\n2V5GgMns+zXXAHv30rFaZt8vvjheVoQk2vdIxG9vRmOPkU37lNn3sZJYOAc5hWAa5KAifpsZu2zA\n4R3k48eBBQv86bNnA9ddR2UWb75JHWYeWVnxncGsAwVlkFPhIPMOMCH0GWJ56TaIsBB5bNDi86DT\nV4oMSFAmUTSYsggUYRxk3RG4QSUWMkfeZHTFjT82m/RsHSWVBlklGQjCvKqcRp3zGoZBtpHeiCsH\nYj5lDrI48QkjATJNFnQa5Oxsv/EP4yAHZTxt2XTdhMI0qQGSd5DFKBgs3dQXTfVu6ie28jG+r4rp\nso1pyepITQ6yTIPMa2JPn6YOnIgrrgD27AEaGoDbbktMX7AAOHGC/mwjsQjDeKrCuLE6CXpSrsm+\nEyK3Bcy+DwxQR1l0kBcsoFLDnTspEVZa6k/Py6OT8q4u2v4jkcR38BOK0bDvsg2LsncElRmlC85B\nTgNMDDJb/mKMUhiNEhDvQGwphtcXMZSXA//wD3RwWrQoMf3ii4FTp6j2a9q0xA4SRmIhdiCdfEK8\nZ2govvOVT9ctwQCJDp2NBlnn0IVhEk0SC/EeWZ2aGGTZxh+Tg6xjwtkzdOWlYpCT1faK7wiqpRbf\nMxoaZJVDx79DVu+ySYvqO2T5CCqxsJGbqNjdoJOWZOQ5svK02dwmrubo2N3hYfo+WT9im7FsHGQT\ng2xisk3lLbsn6ITDhqETnZSwm/SCSix4BvnUKTmDvHYt8KMfAS+8IHeQL7uMbt4D7CUWQTbpAX77\nPTJC//ErW6Ywb0E36fX30/Qpwo4wZt9PnqRlxdtEhvJy4CtfAW680R8yD6AO8fz5dDIiWx0G7Agw\nk30PEsbVtn06icUEBNMgmxhkdg/rRKYONDwsb7xsp+vx43TgkJ1NXl4OvPwy8NnPyvPMOpBM4wSM\nzgzTtAQjSixsjC4bvJluLKgDIjN2JrmJDSvFs8xhGWQd0wgkOjkmVtVmwmHaXGRiPJmh4jXIyH/s\nOgAAIABJREFUJqdR5hTqWNFULGGnQ2Ih3pMqCZDsW3lH3vYdqjqxYeTDsD38PbZyE9kEjt0jK2+Z\nc8s7OfwGZHaPbsOsrK+K+ZRNePn+GqR9qnThqXCQbfZ4pENiYcMg33wz/dvLLktczQQSHWRZFItU\nbNJj9puxw5GIXoOcjMRC1raAuH1/5x363TKY7DuTWcj2FwGpkVjYEGBBJBYqH0InoUwXnIOcBpgY\nZMA/y5QNSHwHkg3wAJ1hnjmj70Af/CBw5ZXAJz8pT2cMskxeAdh1IB2jZLPL1WaAD2J0bRlk0QHR\nLZMDZgc5KIMs05XzDjJrH+LgOzKi31hhw1aa9MGm8hQNpszx5PWsKic7iIOsYvFsWVO2EVBkkE0T\no2QlFuweEwvNnsFkRkE1yDzzGsYJZ+/hnVfTt5rYHtM70iWx4NNlzhrgn/yngkFWbbrl86nrAyxC\nSpAd/uI9KomFzgFhm9IYm24TVcnEIMskFjYMclYW8IUvAB/7WGIa4HeQz5zRM8hsjBTZXb48TQyy\nyA6L6bJ7RAbZZN9V7dPGvn/oQ9S+q8pr/vy4fQ9LgLF8jozY6ddlJ+Xq7LupjYunw44mg+zCvKUQ\nvAZZJ+Jn9+hmVbwRkTETAO1ABw/qO1BODnDggJxdBuIM8sUXh1+C0emHbDpQsiJ+do/MSMg0yLKI\nCcyRZ8tpJobYxDCze0wSC1FXxpe37O/5SBizZ5tn/algkFUSCz5UnOjosEGNtQeTBtmGXTM5KTYy\nDnEjoFgWptB7YRlkcXKlc/hYHxHzGYTpDqJ3XbGiTHqP6lv50GYm7XmqGGSTg2yaiKocZF2UChsG\n2XTwj41G/r2FR9/GSp0GWee8hmGQI5G4zWLjoE7nPDKS6Fjm5PjHT1UUi9ZWOv6qGGQAuO8+/0Ed\nPBYsoCumAwO0vMWjpvnxUzYpl5WF+K08Q8zbbl6DbDopl22OjkTU9p3FhNY5yGfP0vahsu8XXKC3\n74xBnjlTTYDZ2nf2HeJGarE8xdMNU2nfWX6cxGIcQ9aBZAwy32h0jKeMaQTiHUjnIAPqzgOYGeTR\nEvGbZpgiA2JipXQGdWiIlglfJ5GI2bFMNYNskljI3sG+ReewhWGQde3PxDDLYgOLzzDpnG2W98I6\nyDqmcerUeKgxwOzkhGWQ+ZUYG5ZaVd66CBN825LVmY3jadIgi0y3LOLMaG/SM5VnKhxkVbppchVk\nAhdmjwe7JxmNp3iP7RjN2xW2sVfHirIwb52d1MmS1Qn/PBlmzqT/DhxIPImPpbM6VbVvkz0SGeSg\nUS6YbeEllLqxTyWxSLV9VxFgthILm9WJsCvEydr3dME5yCkEr0G2YZB1GmSxA+lmmKYOpAOvUQrD\nIPP5ZKHBdDt6ZUtaNjNMk9EVHTqWLtPyqTqYKGuROcisLGR1kqowb/w7xL8HzA6bjdFNlkGWvUMc\nqGVlnowGWbX5LRkHhO3sZvWWKgZZJ89RaVV13yEuM8qcVxODLHPkg9YJ/wzGZoqMkiitGQ0GWTZZ\nYOWdKgZZV6fsPTqW2WaFg6WzOpFJVnQkRVgnhpcFmJwc1fjJ14lMYpGbS59z8KBcXmGLyy4Ddu1K\nlFcA/vFTxUSK9kinQebTeQ2yjkEW7zFJVkwMcjL2nd9jFJYAk9lVhlTYd5tJtcq+pxvOQU4DwjDI\npg6UzAxTB1MHMs0wxcFZZBZsZ5jJiPiBYMvLOgdZt2zLG8SursQlxNxcms/hYfpPxhzwhtvkIHd1\n+U8M5J9hWrZNlkE2bdITnRwV0807UybnVcf+AslrkFX5FCclOifH5DTK5DuAv+3IDKJpKR5IbMM6\nBrmvT7+xjT0jGQ2yrN2wCDS6w1uCMsgqNpyvV7Fd5OXR/gOoHRB+bDMdNS3bxDd7dvwd7OAg2aTF\nVoMcVmYUZpNeMgyyykGxYe3nzaMxjlXyChvoHGTe4ZOVp409SpZBFt9jIsDSad9TQYClgkFOt31P\nF5yDnEIE0SCbZuw2Iv7iYqoD3bEjuQ6UjIg/aAeSaeh4hthGYiFjBlSaRKYbMzF07Ft0zhRvUGV1\nwse7ZXkQWVXRQRafwZd3R0einot9SzISCxsG2TRjt3GQZcZfp0EOI1lJdgkbMLO7opOjc+hY29Qt\n/YZZirf5FpNDJ06MZHXCT8xNzqvKUTKNCalmkGWrPfn5fo2nzAER6ySoxEI2sRL7e9j2yetdIxF9\nbOqgGmTVGKx7hmnCLH6rTIMMUBJmz57kHeTHH6cb0EXwY7SNgyxjPJPVILP3JLtCfM01VEpy6FBq\n7HsqCLB02HcbDbJpz0G64BzkNMCGQTZt0jMZbYAOQM89R0O9XHppuLxecAFtkK+8El7Er9OZijuk\nTYOWit3QbQQEzAYzqMTCpEGWMcj8PTKDCtBNJcxwmxjkzk45g2zSq6aaQVZt0rNhkJPRIPOThZER\ns8Nmo0GW1YmJQRaZWdU7CJG3PfYtusmViWlk77F1kFXL/TYMchCJhcxBNi3LpkKDbNKW5+XR/gPY\nSSw6OhI3fJnkUDk5dGwbHFTrSG026ZnGJZsJsWlCYhN2zERS6Poy/62yuNMMF14I/PKX/5+9c49u\n47rv/BfUg5LFBwhbimQ5sQgocWwnjvhQ3q0YUdBJmkdTU5SctEmUU1OU23O2OY0lUk53wzQPi2TT\nOI/dioR2t82e9qwlIk0Tu9tEQII0cV6kQDoPSY5EkHFkS45sEpSphx/S7B/XFxwAc2cGjwFA4Ps5\nR0cc3MHMxf3Nnfub3/3e34jgTrZs2QLcdx/wt3+bXma1yNnOovF8RJAzGd9V1+fatcB//Afw/vcb\njwN2uOUWkUf5V79yZnw3cm4zHd+tFvoD1uO7U9BBziNSg2xH52SV5k0/faeKgADizUOPPJL+fbtU\nVQE/+IF4Gr/99vTyTJ8wUy/sTN/Klu0UTGoHkjfGTDTIeofOKhOB6qYmB1UzB1lmfzCyq3QKNU3t\nIFtFNFO11Ga6XcA5iYWRPjgTvatsbylbMIrMpjpK+YggZ7pIb+lSISt48UW1E56vCLLZb80kb+/L\nL4t2XbrU3CZmA5WZg2ymV7WKIOt/h972qnqoJBZ2HOT5edEWly+nP/BaRZDlq3rn580d5Fw0yKn1\nsLoHZ3v/THWyzRxoK4mFvK8ZLR57z3uAj38c+NSn0svs0tEBDA6m3wuA5Idqo/tnarAlkwhyJhrk\nfI3vTU3AN75hXGaH+nrhZL/rXcCGDenlmc4QG/Xl1GBLIcd3p2GaNwfIRwTZzg0+XzQ3AyMjxmWp\nuULNnDGrKVfpgFo9YdrJYmE1YK5fry63G0E20iDr9cGp55D7XLokbt5GnbihYSGtk9GgumyZ+Hf1\nam4SCzsSDJmGyEpiYcdBsWpPeePUL2qycsbkArAXX1TfFAuhQbZyUOR5rlxR17NQGmR5DKNZJzlQ\nyWj8ihXGCyvNHnysIrep9VQ9fJn9jupqcf+U2VHkA4geuxILTbOOIM/NifttqsNl9cABLDg6KifH\nKje1nQc4qwfibDTIVhlnzM6hun/K9lLJKwBgzx7jz/OFPqBj5CAvWSKuiWvXFh5qzSLIdtrTTgQ5\ntT3047tqhjhfvOMd4p8RqRH3TBfp6RflulzZje/6cplRKHUfSizKgEw1yGbTDoXsQGboO1A8nv46\nazuLN6ycrXw8YaZGe1K1fNks0nM6gqwadGWbZxtBtor6L1kibuiyTa1sYhQVsEp5Bxhrc/V611Tn\n1iy6a+Yg51uDnOkiPX097EgsCqFBNjpHVdWCXfXtrdIgW0ksVNev1T3BKoIsUy5evaruZ1YDZnX1\nwsOflYM8O5surwCsI8iAvQiy3RkOvd1T+4lZPVLvn3Z0olYPLWZRQNV93u0WY4TTAR0zli9feKGF\n0f1TzmiaOWz50iDbHd+L2V76sSKb8X3pUnFfke2Vzfieag+pu9ejGt+dhg6yA+RDxC8jEzICopqC\ncRq9gzwzA3g8yeWZOshGzlamad6ymXLNt4Os0iDLRXiqAdUqggwstLlZBNks2mgnl7JsD5n0P1MN\nsp2oqlWEOBPnNRcH2SriKWcG5DWYev1ZPZDo62FHYmEVQc6HBtnKYbPTB6z0wSqbWEWQraKV+vOY\nOchW146MIls5yEaOAWCd5g1YuE/b1SBbtYUqMmsVQda3d7YRZLuyGNV93uMRY4RRirdCoU/bqAow\n6NvDzpv0ss1iYTa+pzrIxRrf9bOiRuO7HWlNPsd3K307wAjyosUsD3KmEotly8RnV64UN4KsH9hV\nHciOxMIqOmFXYmGUaxlQT7lK3ZidCJ18mr52zdhptMpiAYj2unxZPUjICLJq0Zk8j1kEWUaUNE0d\nQbbzshHp0K1YkT69bDUgpibkt3KQ5TWcid5Vfx4zZ8yuHttMYnHpktrJ0TtKqtR7Mq2YHYlFthFk\naXcZITN7aFENurK9VHrX1NkHM8mKnQiy0W+RfUR1DnkeKwfZatGOdELsOMhGEeSamgUnxigriNxH\nRpBV9dTbJPWhWnV96m2SySI9qxm4a9fE/6njkZ17tJXEQjrIxYyIAgvXsCqIkeqwOZUH2WxM02uQ\nS2GGWNOE7YwiyE6P73p72MmQwgjyIicfEWRAdCKzG3whyCSCrHr6s5JYWKWBkTcbTVvopGbplFQL\n06wiNXJAlYNQ6jnsRpAvXwaefRa46ab0chlBlp3caKGJvMFbSSxeemkh76zR9wHr6K7KybGKCmQq\nsTBqLzuRRHn92dEgW53DKoJsJwqocqbk9LIdGYcdDbLR9VlbK76r6gN2I8hXr5qfQw7c2UosrKJO\ndh6u5HnMHE+riJLsz6pjyH4yO2scQb7ppoXXaquuP6sIsj76a9Sf7UaQM1mkZyaxMIowy2NYOTlW\njpLeQVZpkAuBVYChFCLIK1eKz196qfjjuwxALFlirT13YnzXO9B2cmwXcpEeHeQ8YqZBzjSCDCRH\nQIotsbhyRTio2S7Sy+UJc8mSBZ2T6hypg0hqHmT9wjTVQCSnZO06OWZp3lQOsowgm0UN7Eos7Cw6\ns3Je7UYBjaKVdp3w69cXInCqPMj5kFgYDYh2F+ldumS+0EpeW1YOslkE2WwhoP6V1yqnMfUBzqye\nmUgs9DaxunZSHWSj32rlTKU+XOUaQc6HxEJl0+efN0/jlokG2ag/29EgSydblUYwdbbHLEJn5ECb\n1cPoHKUeQZZ9zY6DnEkEORMNstX47nItzDqVwvhuFPwCCjO+6x3oTMd3p6GD7ACZivhVT/VWEZBC\nIG82sgOlRq2sFnMB9jRKZk+Y8jwvvmhPo2Q0iMiFadIBMYsgq6ZwVqwQdbh2TS2hkB35wgVjB3nV\nKnGM2Vn1TdGuxMJMlmBXg2x3oZVqmlwl89CfQzqNRinanHaQly1bkCSYLaCzm6rLjoNs5oRrmrUz\npXI8M3WQzRxLqyg1YO4gS2ctm0V6mUSQraQiQG4Si/l59SK9qipxz3vuOesIsqqe+mvHTgRZ1RaX\nL4treOnS9GCL/oHEzhS20f3VSoNsR4taChpkwHoGzmq8yfeb9BbT+J5KIcZ3fVtlO747BR1kG4yP\njyMQCGBwcBA7d+7E1NSU4X5meZAznYIBrG/wheCGG8RFe+GCvQ6UzROmlYhfv48djZL+CTNV82rm\ngNTXmzsgLtdC5FQVQa6vF47Ss88avwrV5RKD8VNPWTvIqgiyjCg5GUG2mjaTA/ULL1ifQz9gOqlB\nNpJYyPY2mxmwo0HWSyyMpuP1EgszDfKVK6ItU2UxwEJ7qZxwGXFStZWdCLIdDbKZxEKfAcXq2lHl\nMM5HBFn+Vim7MpsRynaRHiD68LPPin2MnC27EeRr18Q+Rq+nv3JFPMTp2yI1D7JZf0/VIJtJLMwC\nELlmsShFiYWVBlmVB9nIQVZpkLN5Uy5QWhJKuw5ythKLfGqQCxlBZh5kC+bm5jA2Noauri4AQDgc\nht/vx5kzZ5TfyccUDFAaEouqKuDGG4FTp8w7kF4fnIpVB7JKAwMsPIXa1SiZRTRVjmdd3YIjpeqA\nclBVRUnWrxdtpZJYAML5OXs2+wiyrOdzzwnbqL4P2MswkU0UUH5POn2qc1hNk+tfomAWQX75ZfMI\nsqapdeENDSJKeOWK+evUzaLpMi+vVQS5psbcQTYbDOVvmZ0Fbr45vby2Fjh3zl4E2SyiaaZB1l87\nZosF7chzXn5Z3D9SgwOZRpCN2ks6YxcvinIjLb/dRXqzs8Y5zQHRh596StjW6E1kMoJ89arx/VE6\nt9IeqfVcskTsMz8vjmE1Y2TUVql9NfX61L/NNJdpcrsSi/PnjYMDhSKTLBaqPMhGEgtJPt5zACRH\nkIs1vrvd4vznzjkrsdCP76n3xyVLRCDDTELJCHKJMjk5if7+/sR2S0sLYrEYLsrlzToy0SCnPmEa\nXRQyYlTMKRhAvBb0+HHjDlRVZe285poGBliQWNjRKOmjjUZ5d80cZLMIMmC9av2WW4Tza+YgNzQA\nTz5prUFW3eBXrxYRfdU55O+8dk3t7GeqQTaLWKqigNLuesdVbw8ZbQeso7tWi/QuXxZ1Tu1ngPUC\nOqsIssslvicfjIxsYneRntlgaCeCfPGi9VS8HRmH/hx6m1gt0gMWHnys0rxZPVjJc5ilNlM5tzfd\nJK7/CxfUzpiVgyyzVJhFkG+6CfjFL4B164yj/nayWFy5ou7LwEKkW2/XVA2yWW51qwCDy7Uw3qju\nr5mkebNykKemcnuVdK5Im6j6ql4TaxVB1reXtInRDLFVBNlsfC9mBHnJEjFmjY/n7iBrWvYzGPoZ\nYrPxXaXDdwpGkC1obm5GKBRKbI+NjaGhoQF1Bj3v7Nmz2L17N9av34DLl4GHHnJj06ZNePnlNixb\ntjBF09Ymtk+ciCASAV58sQ3LlyeXA8DFixEcPw7Mz7dh1ar08kJtNza24fhxoLpa1De1vKamDfPz\nwC9/GcGzzwJAcvmKFW24elVsX7oktvXl1dVtePFFsf3EE8D69en1Wb4c+OEPI5ifF/unlq9cCTz9\ntKjflSttuOGG9N9z/XoEP/gBMDfXhttvTy+fno7gt78FLl8WxzNqD00DLlxoQ3W1qE9q+TPPAGfP\ntuHSJSAWi+DatfT2crvb8NhjQE2Nuj2ffx6YnY3g8ccBvz+5fPXqNly4APznf0Zw/Xp6e7e1ievl\nO9+J4Pe/B1auTC9fsQI4fjyCl18GVq1KL6+uBp58UtTvhRfEdmp7uFwRfP/7or3XrUsvP3s2gqkp\ncf3qU7zJ8scfjyAeBzStDVeuiP7gciW3x3PPie9rGvDss+nt9ZvfiPNfvKi+Pt3uNsTjwr4i4p5c\nvmqVsNfx45FXoqfp7XHDDcC3vhV5RR6RXu52A8eOReDxAHfeaWyPeFzUr6YmvRwArl2L4Ic/BOJx\ncTyj9jxzRvxeo+vzRz+KvPLmQfF7Hn88gqeeSm4P8QDY9ope2rg95+fbcO0a8OKLEfzkJ8C73pVc\n35Urhb1Onza+/qqr2/DCC0A4HHnFqUwuv+02cb+Q/cXo+ly5EohGIzh3zvh+sHq16O/f+Y7oD0bt\n+dxzEcRi6uvvqadE+dq1xu0diUTw4ovAxEQbbrnFuPzpp4Hnn2/DSy8Bv/tdentOTor7ydwcsHSp\n8fVZXy/KJycjr6zxSC6/4QbR3qr+Lts7EhH9zedLb4/ly4U9nn7a+P5ZXQ088YSo39Wr4v6QWn7l\niujvqvb89a8juHABmJpqQ2Nj8carVavE9fXMMxGcPAm0tCSXL1++MN48/zywbFly+dKlbXj5ZbH9\n61+nl3u9wt5y++WX25Je2S7H91/8IoJ169Tj+9WrEfz0p6Uzvq9Zk359igXWbbh+HTh1KvLKDEjy\n9+X4HgqJ8qqq5HL9+B6LAbfckl6f6mrge9+L4MQJ9fj+299G8MUvTgCI4/OfB06dOoW1a9fCUTSS\nEZ2dnVowGEz7fMuWLdqb3vQmTdM07YUXNG3p0oWyNWs07dy55P17ejTtwQfF3+95j6Y9+mj6uXp6\nNO0LXxDfP38+X78gc3p6NK2+XtM++Unj8ltv1bRYTNMGBjTtr/86vby7W9P+4R/E30uXivbR89hj\nmva2t4m//+ZvNO1v/zb9GHfcoWm//KWm/fCHmvb2t6eX6z9fskTTXnxR/P39738/sc9dd2na+Lim\ndXRo2sMPpx/jpz/VtM2bNe1b39K0977X+Le+7W2aFgwKmxjx9NOizOPRtN//3nifzk5NW7lS0/73\n/zYuHxzUtL/8S01bvty4/MwZTduwQdO++EVN+8QnjPdZu1bU5fbbNe1Xv0ov//CHNe3//B9NO3xY\n0z7+8fTyhx/WtB07xN8336xpZ8+m79PUpGljY5p2772aduhQerk89qOPimtc05LtoWmaVlOjaXNz\nmvamNwnbpNLXp2n/9b+Kf3196eUnTmja61+vaU88oWmvfW16uaaJ3/Hww2q7//jHmvaWt2jaf//v\n4lo14tWv1rRIRNNe8xrj8mBQ0z74QU37q7/StL//+/TyK1eEPX/yE01785uNj/G2t2naj3608H8q\njzwi2vE//kPTtm83PobbrWkzM5pWW6tp8Xh6+Uc/Kq472a6almwT2Y7z8+IaNeL1rxfX1J/9mab9\n0z+ll3/yk+JecPaspq1bl14+Nyfsrmma1tKiaT//efo+996raUNDmrZ/v6YdPJhe/vLLop8Hg5r2\n/vcb1/N//A9N27Mn+X6QypveJH7nY48Zlz/wgOhDO3cal//zP2vaPfeor63TpzXN6xXHf+tbjY8h\n7f2xjy3cE/Q2GRgQbfrzn4v2SkX/+Z//uaYFAun7eDya9uyzC/e4VPr7Ne3++8Xfr3udpp06lb5P\nVZVox//yXzTtS19KL79+Xdzf6+uLO1719pqPm36/pn3nO+Jv1dj8hS+Iv7/6VU37i78Qf0ubPP20\npr3qVQv7V1Vp2ksvJR/jz/9c04aHxd+bN2vaz36WXg95jRt9v5Dce6+wmfRHUlm1StMuXhR9UbaL\nnh07NO3IEXG/qa1NL/+3f9O0971P/L13r+iXqbzqVcIO//qvmvaBD6SXy89nZzWtrk58tmXLFm3L\nli22fmO2VGwEORAIYHJyUlnu9/vR3t6e9p177rkHd999t+mxZZoY+X7ybPMgS61psVcFNzaKehhN\nwQAL07JWq1yvXTN+yUdqGhiznKVWIv6XXhJtnnoOuU+uEotVq4BnnlHbY82ahReBqNqroUGco7XV\nuHztWuCb3zSuozzHhQvm08v69HxWGSaySfMGJEssVFP+UmKhai+pDzbLMHHunLCpkX5YTvebTWHn\nQ/6wejXwm98YSx/k74jHxfFbWtLLq6vFfWBuTt0WUlZgJbFQyRLkMcx+i5RhzM4Cr3lNerlcpGfW\nB2Rfy0ViIadL7WiQjeq5ZIlo81On1H2gvh749a9FWxrdDwDRBx9/3HyR3hNPAO95j3G5vPddu2Yu\naclUYqEnk0V6KqnH8lemsM3SvFlJKOQ+Kq2/yyXa8dIlY712oZDSmVwW6dnVIF+/Lv6lym/sjO+1\ntWIsWb7cWBpWKPI1vqvKrdK8AfbH90Iu0AMqWGIhF93ZJRwOw+fzYevWrcp9pAbZ5RIdRjrGVnmQ\nzdLA/Pzn4gItlogfALxe8b+dDmSmUZIXf2qquOXLF27OcpV/KtLhM9MoyUFbP4jI6SJZjytX1A6y\nVRYLQNjh/Hn1Ku0lS4Re8dIlY80iIAbsVauA2283Ln/3u4GPfxy49Vbj8poacW09+SSwZYu6nmYO\nspUGWb8owkpLavYmvVQdqd4ewIKDrFpwKM9RVWWuQVYNhsCCg/zss+pzmC3SA8QgMj6udpDlOa5e\nNdZfylfg/v736nN4PAsZE7LRIAOijWZmxP3FaNC98UZRPjsLvOlN4jO9TWQ/UzlJwEKbW+nXVY78\nkiWiflev2stiYfbQ8utfA69+tXF5XR3w2GPA7t3G5QCweTPwP/+n2q433SQcoFtuMS6X7XX9unk/\nUt1zgOT860Z5kPWL9Kw0yCo9q5BIZP+iEP15VA4yIK7h1avT7/GFpLEROHJEjLtG/UQ/3qgW6Rll\nsZA20TvIcoFe6u+1O74fP15cvTawcP5cx3dVIMXJ8d1puEjPBtFoFB6PJ+Ecj4yMWH7HqBPpsRtB\n/vGPgTe+MZfa504+O5DRjVf/RG/1SlezVa5mC1n09bh40TyCrEoDB1hHkAGxIl61QA8QTmFzs9qB\nvukm4A//UB1xcrnEIHTiRO4RZJWTIwdtQH3js5PF4upV87RPDQ0iEn7xovH1ZTcPsp0I8rlzxtkh\nrBbpAcCGDcDEhLWDPD2tHvCsrp2bbxZ1tBNBNnOQL1xQ/441a4STrlqYJqO7ZgOR3RSBc3Pq9rJ6\nuLLKYgEs9AFVtFJeDx0dxuXAwiyO2SI9QJ3lws6b9C5dEm1hJ4JsthhWZRM7DrK0q9kivXw5yMV2\n+N74RjFu1tUZO+p2Ish28yAbje3yHBzfBYUa352ADrIFsVgMra2taGlpQVVVFaqqqnDgwAHDfWUe\nZMB65abdNDAXLhS/A73mNeJGk48IslG5/gZv9cYqqzQwqVEWKfQHxEA0O6uO5qxaJeo5NWUeMTKL\nIAPiu2YO8pvfDHzkI+pyALj7bnXECRBOgdn0spWDbOXk6GUJS5caT1HLwT/bPMjyPKdPi8hmlclr\nt60cZNWKdUA4PzMzwjldty693E4EecMGMRVv5iA/84y4vozOIc9jFkG++WZx7alS2sl+lg8HWf96\nZb1NliwR/fW55+w5yGb1VDn6QPLDVTZ5kAHRx8z6gNstvrttm3E5IO6tH/mIOlou+7FVBFklbVix\nQlyXp09bR5Dj8YV99DaxkljYdZDlFHa2EovF4iDfdps6bzWwMDbLrAtmDrBVHmTV2J3J+H7XXZn9\nvnyTLwfZTGLh1PjuNHSQLfB6vbh+/XrSv9OnT1t+T3aia9fE9JvZm3ZUujB5Eyp2B1p9TUKEAAAg\nAElEQVS+XExjWnUgq3e123nCtOpAVrlZzSJf69aJCJ3KQXa5xG95/PEFWUkq69cDo6PmEWQrB3nr\nVsBK4fPxjwNf+Yq6fPVq0RZmDvLcnHC2zCJGqvaW0gfVGxSBhahUrhHkJ55QRwGtIshSSvD00+YR\n5DNnRJuopu+kVtpMYnH5strhq6sT7fCa1xg7+vK3mEWQ160DTp4U5zBqb/ligdlZtbOVjYNsdB6R\n/cS4XN/XjM4j032ZnSNfEWSzPnDnncD3v692fgHRN77+dXW5lYNcWysemM1y/3q9YvbBKoL89NPG\nD1dWeZD10V+VJEW2t9WLQuRbJ832MXOQb7yx+A7y8uXA61+vrqPUxL78snggTO2veofOKIK8dKkY\n181y/2cyvhc7ALZmjbhvZDu+y+vCTGJhNb7LIEUu47sT0EHOI27d6CkdZNk5jHS3dqZggOJ3IAD4\nxjcWNIup5DoFk/qEaeQI2X3CTHWk9Fq+m28Wut2XXlI/hdbVCa2pz2dc/olPiJuqWQT51luNF5Rl\nwg03mNtdDsYqR7ymRuhZV640drasIsgyR/HMjLWTYzVw6yPIRhpkKwd5fl7tILtcYkB+/HFzDfLJ\nk8byCkAMkCtXCsdS5Yxt2LBQXyOWLBHXjtxP9VusIsgnTqidcPkGvl//Wv0Al4mDbJQHGRBtcOGC\nuQbZ7NqRD1dWEWQ7A6JZDnjZB1TXzpIl6oWwdlm9WrS7alZALgj7xCfUfdHns3aQ43FhF5m1Sm8T\nfQQ5Ww2ynO2xO8tndM+wE0H+b/8N+NjHjMsKyV13WUeQjeQVQHqe5FQNssu1oFNWOb+ZjO/FDoC5\nXEAkotbyl8L4btUHnIIOskNIB1kl0Lc7BeNyAXfc4Wxd7dDSotbMypXvdla5Wj1hqqJSckBVHWPZ\nMtFWc3PmEeQnnlBr0wAxWD37rNoBqasDRkaAD33IuBwA7r0X+MIX1OX5YPXqhZX8RkgnR9UWVhHk\n6mrRpmfPqiMLmUyTm0WQf/Ob7CPIgHWEzu1WR+ckNTXCyVb9Vun4qhw+WWbmIN90k6inWQT56afN\nz1FXJ45h5iCbOeFWGmTAOoKsf2W7WQTZykGenRXXmFHE3a7EAnD2rW2rVgl5hCoLRm0tMDAAPPCA\n+hher7inmEksYjFxLCv9pZnEQtNy0yC/8IL54kyrLBaAeBgwWghbaN74RmsH2UheIcvtvNlVvtgi\nl/G9tla9GLuQbN6sHhNzzWKRbw0yI8iLFL0GWe8gZ/uEecstwL59hX1iyoZ8PGHalViozgGIjjMz\no9YgyylsM21vXZ04l5WG2O9Xl69a5fwgsWaNWrcr62DmIFtFAQHh3MRiaqfRKs3b6tVC0mKlQZ6e\nzt1Blg8+qt8BqCPIgOhre/cK+YuqHqtXWzvIZtPLX/2qiBCqHHVZP7Nz1NaK32oVQVY5lTKLxQsv\nqG1SUyOcQtUsiFWaN7sO8nPPmaeru3zZOouF/n+nUEXWANH/9u0zvn9LpK3MIsgnTyZfF6kaZLN+\nVlUlHpZfesmexMJqmlxlEzsR5FLhj/4I+OAHjcvsRJCNJBZ6m+RjfH/d64BPfrK4GT/skGsWi3yM\n71b3HKeo2DRvTpMqsTAqt3rCXLUK0L3lumSprQV+97vkaVs9Vg6ybAuzV+TW1IgFTHV15g7yc8+p\nO9C6dUJisWmT+rfU1YkBrdRvWqtXmzsGNTXAD36gjmhaRZABEWE0c5BXrRIRT9XAfeON4jxPPGGe\nB1nT1A5yTY24rmZn1fXw+YR20kxiAZhHkMfGrG3e2JhbBPnWW4FoVF1eXy/ayyqCXFWldtpuvBH4\nyU/U07ZLl4p2lDnajaipEekl/+zPjMtXrhSD2Usvmb9yeHZWOAFGrFq1IAEy4tZbhZNupUGurTXX\nGJcCdhzkJ59UP3Trp5dVD/fV1ULqUVWlHksuXbJek2DmIMuFqNevq+/BpcIb36iWqFlFkFUSCz12\nx/fr19WZLlavBj79afu/qVhIBznb8V0fkbezxkjVntevi3pQYrFIMdIgq6Zg9NMOqn0WC7IDnT9v\n7IRYPWHKF3u89JI9jZJZ1GlmRp0HWUbozCLI9fVq/XEp8apXmSfjr6kRiwnf/nbjcqtpcmAhgpyt\nBhkQ8qCTJxecVyMNMmAeQX7uOeAtb1E7hVYOiJ0Isp0Hos99DnjnO9Xln/oUsH27+TFcLvW5XC5R\nRysH+dZb1S8WuPdeIVkxy5u+Zk3yOVJtUlsrbKbK061/EFUtJrx8WUSys40g33UXXnntu3pAXLMm\nd61/IZD3EzOJBZB8fWaSBxlYyDxi9hIas0V6dhzkdevEQ0ttbekHEMyQDpsqgqx36Iw0yID98V22\n92Jur0zGdzOJhQyAZTO+u1zG47vT0EF2CPkEaaaZfemlhbdJlXoUxAx9BzJ6NbqVRglYmNbKVqME\nWEeQ3W7xXZUjBSxEkEud7duB//W/1OU1NeKJW+Ugy8VFuUos5FO/6qZ1++3iGlcN3NKBMnOQAeBv\n/sa4HFhwQFR2XblS9DezCLId/H5z6c327blLa9ats3aQzR7gXv96oLPTPMvKmjXqhx5AfFfT1Gsf\npM5Z1c+qqhakM2YO8rlz6mtv2TKx7mHlSvXah7vuAv7f/1P/jlJh/Xrxe1TXp/xcdX1apXkDxH3t\n2WfVdpcaZKs0b2Zj0dq1Cw7yYkYGB8wiyGZZLABriYUsX+xjOyDsLSVTRvc3u2ne5FtuVW/Sy3V8\ndwI6yHkkNQ+y1SrXF18UF5Yqz+xiobZWRIsuXzYeeO1EJ+RTu9UUjEw7ZsTKlenTtnrdmMslBiGz\nCLLfL/Rrpc7y5ebT+XKgfNvbjMtf/3oRJcxVYvGznwnpger6lU6WHFRT9a5WEeSlS8V0v+p3AAvt\noBq45StwzSLIpcLNN5s7r7W11g9wX/0qcP/96vJUBznVJrW14vpSnef228ULDsyi1B6P9ezD6Ki4\nDlW8/e3mjr7LBWzcqC4vFZYsEVkuVDMg8n6k0iDr1wuoHGSPR8jczBxkO2neKsFBrq0VY4nVAjzA\nWoNsdYzFoNe2orYWmJxcWBieitUMsWwrs/UE2Y7vTkMH2SGspmD0KbDKoQOdOSOmO42mkuw4yNXV\noi2WLjWePpYd6Pe/VztTRov0Urn5ZnMHeccO9UKtxURNjYg0qtrqllvEtWmW8cDtFm1u5iA/+SSQ\nMkOfhJymN9MgA+Zykc2b1WWAsPtrXqOuJyAW7Nx2m/lxSoFt20TkVIXHA7z2tebHWLPGfGW8nQjy\na1+rlnG8850iu4mVgzw/bx5B/sUvzFNcWTnIi4mBAfVvkRFkszSEy5eLCJ7KOVizRjyQqGxi50Uh\nleQgW+X1zTWCXG7j++nTxrPDgPW1U1Ul2iseN78+8zG+5xsu0ssjRhpkTTPuQHV1ovOYLUJZLMi0\nUCpHxirNGyAGALOLXzrI166pO9ANN6RPwaTqK60iyOXCW94C/P3fq8tdLuGc/Od/mjvIgHkUEADe\n9S71eWQE2SwPMmDuINvhZz9T38ABYGgot+MXij17zMs///nc1yusWbOwwh4wzoNsllqyvt78VenA\ngl3NHOTr180d5K1bgc9+Vl1eLixbJu5Z+ghyqk2M7m161qwRUT4rDXJ1dfZp3tauFfd5VT78xYIc\nS55/3ngsUDnIKg1ypYzvqgd3OxJKu+P7M89kNr47DSPIDmG1yrWuTmhAy+UJE8j+CRMQbWT2hGkn\ngvy614npeDON8YYNuTtji4E1a4APfMB8n7vuEjcuVaRQOjdmGmQA2LJFfY5164C/+zvz3Krf/KZ5\nNNIOZs5xOVFfn/sU45/+KXDfferyd78b6O42P0Zbm/lAJa8Z1cOotLeZg3zDDcCHP2xej3Jh3Tox\nC6Kivh745S+FntkIGUG20iBbpXlT5TQHFvpYOYxXzz8vxl+jsUIlsdBjJbGo1PFdFQDL1/j+s5+Z\nj+/5hg5yHlHlQTbqQPK1sZXWgVQ339pa80U78mUkZh3oa18Tacf0g3uqvvJznwP+4i/Uv6WSuOsu\nc8dURgFVDvK6dcD73qcetAERqdbn+ky1BwD88R8v7lXei43GxmTHNNUmTU1Ae7v5MT74QbGfCo9H\n9FmVNn3VKvGv2K8lLhXGx5M1yqk2eewxEYFTRW/tOMiXLokxx2ifJUvEv+efrywH2ei36CPIegdY\nbxP9i0IYAMvP+P7MM2KGWHUN/9//K6RdO3dmVv9coMTCIawkFnoHuRymYAD1Kmw7Eos1a0SeY7MO\nJKdozJw6q0jiYl9RnE+sHGSrCPLq1cC3v53/epHS5x3vEP9UeDzm2ThqaoA3vEH9optKw8qJslpg\n+qpX2Vukd+2aOjXeihXiTaRmaTTl298WMzJaqYog50ODLMf3cpFYAPbGd9W1Y2d8P3tWzKKYBUvM\ngjFOQAc5jxhpkFVJ1aurxeDw7LOL/4azdKnoGGZPmFeuiE5kpqGbmlKXy2nlTOURqVo+skBrK/Av\n/6Iud7vFzSqfmm3ao/RwwiYNDeYO8rZt5llYKp1MbbJmjXk6RalBvnhRfQ+V0+BmQYS1axf/eJWt\nxMJIg0yJhT2JhdX4LlNLlpr8kc/vDmH1rnZAdKKnnlr8HQgQv0HVgeSbiS5fzv4J0+USnWgxvBhg\nsbBkCfAHf6Aul04Oo3wkUzwe80wZdXVioR/JD9KxsNIgm0nUVqyggwzkJ4K8apVwGOPxxd9eK1eK\nMSAXicWaNSIvulkEWe5XSnDoyyNGGmTVoghAdM6nn178UzCAuYPsci28CjVbBxkQZZl2ICPNK7HH\nLbeYT6NnA+1Rejhhk9e9zlyjTMzJ1CZ2HOT5eTFjqXrZjZXEAigPB1mvx1Y5yJnkQVa9HVbqbhf7\n+C5/i5WDnIvEYvly0aZ0kCsEqydMoLwiyJ/7nHn6HxmdMJuC+d3vzB3kmprS60DlzJo11BiT7Hjr\nW4Evf7nYtagc5H3RLM/suXMLL4Exwo7E4i//UmQ5WcwsXSp+6/nzaolFJhHkSpgh/spX1AtqpYN8\n5Upu43s2ATCnoQY5jxhpkO10oNbWAlXQQT70IfNyq+m7NWuEXtssdVQ2DjI1r6UF7VF60CalR6Y2\nqakR904zDfL16+b3TzsSiz/8w4yqVbLU1oqx18hBlmkvX37ZXh5k1RqNcnKQP/pRddnSpSLKPD+f\n+/heahJKRpAdwo7Eora2fCQWVqxYIbJQmHUgwDqCXGodiBBCSoE1a9RjyYoVwomxcpDN7tHlRE2N\nGHtVzquUWdjJg1wJEkor8jW+l1oEmQ5yhnR2dirLVHmQzTqQnPYqd1atEnkOVS8GsNuBVq/O7LzU\nvJYWtEfpQZuUHtnYZM0a80XOVlPY27cDjz9e2DeVFQupD1a9dELKLKw0yFYzxJU0vs/OArfdZlzu\n1PjuNJRYZEAoFEIwGLS1r90pmJdfrowO9K//KhLhq94CJjuGWQf67GeBjRvzXzdCCFnsPPSQ+ZsJ\nrRzkT38a+MhHSs9JcYLaWjH2qhxkmclClcbN6kUhQGWN75EI4POpHxbsOMgPPVR6mW3oINtkbm4O\nHo8nSWecipEG2WoKBqiMKZjXvc68vLpaPEiYRS+y0WpTX1la0B6lB21SemRjk7e9zbz8hhusp7C9\n3oxPuyiRY65ZBDlVYpFJHmT9sSthfL/9dvNymTnFbHzPd8akfECJhU1CoRCaM3i8sfuECVTGE6Yd\nzKYICSGEZE8pZgkoFnLMtYogZ5sHWX9sju/CH2poWHzjOyPINgiHw/D7/Zb7nT59Grt378aGDRvw\n2GPAtWturFy5CZs2tQFY0DDJJ9FnnhHbtbXG5ZW2XV0dwW9/CwD5O/7ExAQ+8YlPlMTv4zbtUYrb\n8rNSqQ+3F2yRz+NfuxbBhQtAPu+vi3W7thZwuSL4+c+Bd70rvby6GvjRjyJ48UVg2TJR/tBDD2HT\npk1oa2vDsmXAE09E8NRTQHW18flmZsQ2x3exXVMTwZkzQC7X38TERGKt16lTp7BWlZw5T7g0TdMc\nPUOJEggEMDk5qSz3+/1ob2/H1NQU4vE4ml7Jeu/xeDAzM5O2f1tbG+LxOCYmJgAAX/oS8NvfipWd\n27YZp0n5p38Cdu8GYjF1jsFK4vOfB977XmDTpvwdMxKJJDoYKT60R+lBm5QeTtjkU58CPvYxa7lb\nJfBXfwV8/etiYZkRTU3A4cNC1nf9uljkqLfJpz4l1tP8+MciN/R735t+jC9+Ebj/fvFCEkaRgf37\ngfvuy5+vk+pIO0HFRpC7urps7ReNRjEzM4OxsTEAIlPF4cOH0d7ejsYUS6vyIHMKxh6f+lT+j8mB\nv7SgPUoP2qT0cMImn/983g+5aKmtVcsrADFmX74MLFkinGMg2SaZjO+LTVbgFAMDxa5B5lSsg2yX\njo6OpO3u7m7ce++9lt+zkwZGOsZ0kAkhhJDCUFtrPu5WV4sXXxjpjwHx+aVL1g5yTQ1QVZV7fUlx\noOlsMjc3h4GBAbhcLvzd3/0dpqam0vYxyoNslcVi6VK1A01yx8npF5I5tEfpQZuUHrSJs9TUmEeQ\nly9Pd5D1NrGbxaISMliUM4wg26S+vh779+/H/v37be1vdwpGLBbIY0UJIYQQosSOxMIqgmx3fCeL\nFzrIeSRVgyzTvKmeMNevBz784QJVrkKhvrK0oD1KD9qk9KBNnOWuu4DnnlOXGznIqRpkqzSuGzcC\nf/In+akvKQ50kB1i+XJriUVtLfC1rxW2XoQQQkgls2mTebYkKbFQBbf047tqn1e9Cujvz72upHhQ\ng5xHjDTIZk+YxHmo5SstaI/SgzYpPWiT4lJdLRbhWWmQOb6XN3SQHcKOiJ8QQgghpYXRIj09HN8r\nAzrIeUSlQeYTZvGglq+0oD1KD9qk9KBNiks+NMhk8UMH2SFWrwZ+/3t2IEIIIWQxUV0N/O53Yhw3\nguN7ZUAHOY/oNcgbNgDT0+ZZLIjzUMtXWtAepQdtUnrQJsVl+XLgiSfEOC7R22TDBmBqihKLcocO\nskPU1QErVgAzM3zCJIQQQhYL1dXAk08CjY3G5a9+NXDunHjRF9+UV77QtHlEr0EGROfSNDrIxYRa\nvtKC9ig9aJPSgzYpLtXVYuzWO8ipGuT16zm2lzt0kB1ETs+oVsISQgghpLSQsglVBFmWUV5R3tBB\nziN6DTIgOtCyZZyCKSbU8pUWtEfpQZuUHrRJcZGRYb2DnGqTxkZGkMsdum4Owg5ECCGELC6qq8W/\ntWvV+2zYwPG93KGDnEdSNcgbNnAKpthQy1da0B6lB21SetAmxWX5cuDWW5Nnf1NtQolF+UMH2UG8\nXpHJghBCCCGLg5UrzfXHAMf3SoAOch5J1SDfdhvw7/9epMoQANTylRq0R+lBm5QetElxec97gK99\nLfmzVJu89a3AP/9z4epECg8dZAdxuYA3vanYtSCEEEKIXWpqgI0bzfdZsgR44xsLUx9SHFyapmnF\nrkQ5IPVJfPInhBBCCHGOQvhcjCATQgghhBCigw5yHknVIJPiw4h+aUF7lB60SelBm5QetEnlQQeZ\nEEIIIYQQHdQg2yQYDCZtd3R0JG1Tg0wIIYQQ4jzUIJcIAwMDcLlc6OjowLZt2/Dggw8Wu0qEEEII\nIcQh6CBbEI/HcfDgQdx9990AgPr6eoyNjSn3JaUFI/qlBe1RetAmpQdtUnrQJpXH0mJXoNQZGxuD\n1+tFMBiE2+1GNBrFjh070Gjwmp2nnnoKu3fvxoYNGwCIV09v2rQpbSqA24XbHhkZKan6VPo27VF6\n2xMTE2hrayuZ+nC7DRMTE5CUQn24DYyMjJRUfSpxe2JiIhGIPHXqFGpqauAk1CBbMDw8jL179yIe\nj6Ourg5zc3NoaWnBmTNnkvZra2vD9PQ0pqeni1NRYkhfXx/6+vqKXQ3yCrRH6UGblB60SelBm5QW\nhfC5KjaCHAgEMDk5qSz3+/1ob2+H1+uF1+tFXV0dACGxiMVimJ6eTkSKCSGEEEJI+VCxDnJXV5et\n/bxeb9pnbrfbcN+rV6/mVCeSfxjRLy1oj9KDNik9aJPSgzapPCixsEFrayvC4TDq6+sRj8fh9/sx\nOjqatM8tt9yCeDyO1tbWItWSGBGPx5UPNKTw0B6lB21SetAmpQdtUlpMTExg2bJluHDhgmPnqNgI\nciYcPXoUDz74IDZv3ozR0VEcPXo0bZ/Vq1cXoWbECt7QSgvao/SgTUoP2qT0oE1Ki5qaGsf9LkaQ\nCSGEEEII0VFV7AoQQgghhBBSStBBJoQQQgghRMeSPib2SyIWi+Hw4cO4evUqgsEg3vCGN2DFihVZ\nfyfbMiIopD3Gx8fxyCOP4Hvf+x6+/OUvo7W1FQ0NDY7/xsVGIW2ip7OzEzt37nTkNy12Cm2TYDCI\nkydPJv7dcccdjv6+xUgx7l3T09N49NFHcfPNN/PeZUC+bSLx+/346Ec/mvO5Ko1C2iOr8V0jSbS0\ntCT+jsfjWmdnZ8bf2bFjR1Zlds5VaThtD3m82dlZbXh4OFEWCoU0n8+XU93LlULZRM+xY8c0l8uV\nbZXLnkLapL+/XwsGg4ky/b5kgULaZGBgIOk43d3dWdW53MmHTfTfCYVC2tDQkOG9ieO7NYWyRzwe\nz2p8p4Os4/jx45rf70/6rKGhIevvZFtGBIW2h77DzM7Oai6XS5ubm8u6/uVIIW0iicfj2vHjx9k/\nFBTSJrOzs7SDDQrdT3w+nxaPxxPbdJDTybdN9KQ6ZBzfrSm0PbIZ36lB1hGLxdJSuXg8HkxMTGT8\nnfHx8azKzM5VaRTKHhMTE2hubkYoFEp8PjY2hoaGhsQbFImgkDaRhEIhNDc356H25Ukh71tjY2Pw\ner0IBoMIh8MYHBzE1NRU/n5MmVDoftLT04PGxkYEAgEEAgEMDAzk6ZeUD/m0idU4zfHdmkLaI9vx\nnXmQdczMzOT1O7Ozs1mVEUEh7QEg6dXhw8PDCAQCGZ+/3Cm0TcLhMPx+f8bnrCQKZROXy4VYLIZo\nNAq/34+6ujq0traipaUFZ86cybgO5Uyh+0lXVxcmJyfR398Pt9uNbdu28eE+hXzbxInvVRKFtAeQ\n3fjOCLKOG2+8EfF4POkzK4OovuNyueDxeDIuIwsUyh6pBAIB3HPPPbj77ruzrHn5UkibTE1NwePx\ncKC3oJA28Xq98Hq9CZvU19cjFovxNbwpFNIm8Xgcvb29OHjwIM6cOYNdu3bxodKAfNrEiXNVGoW0\nh55MxndGkHV4vV7Dxt60aVNW37l+/XpWZURQSHtIwuEwfD4ftm7dmmWty5tC2iQYDGJmZgZjY2MA\nhCNw+PBhtLe3o7GxMYdfUV4U0iaxWCztc75hLJ1C9xO9Q7xv3z5MTk5ifHwcTU1NWf6C8iPfNsn3\nuSqNQtpDkun4zgiyjtSbSSwWS7rxGA0OZt9J1U3aLSOCQtoDAKLRKDweT6LzjIyM5PYDypBC2qSj\nowNdXV2JfwBw77330jlOoZA28Xq9cLvdmJubAyAeWnw+X9L0JSm8TaLRaFK52+2mc5xCvm2Sy7lI\nYe0BZDe+81XTKYyPjyMUCsHr9WJ0dBQPPPBAYjpx586d8Hg8OHTokO3vZFtGBIWyRywWw8aNG5OO\n4/P5cPr06cL80EVEIfsIAMzNzWFoaAgHDhxAf38/Ojo66CSnUEibTE1NYWhoCJs3b8bo6Cj27t1L\nB9mAQtpEzrZ4PB7MzMxg8+bNjFYa4IRNjh07hgMHDmDfvn3w+/1ob2+3/B4RFMoe2Y7vdJAzJBwO\nJzoAKT60R+lBm5QetEnpQZuUHrRJaVFse1BiQQghhBBCiA5GkDNgfHwcXq8X9fX1xa4KAe1RitAm\npQdtUnrQJqUHbVJalII96CATQgghhBCigxILQgghhBBCdNBBJoQQQgghRAcdZEIIIYQQQnTQQSaE\nEEIIIUQHHWRCCCGEkBIiFouhs7MTBw4cUO4TCASwd+9eBIPBAtasclha7AoQQgghhJAFXC4X3vzm\nN2Pfvn3Kfbq6urBt2zZbr00mmcMIMiGEEEJIAQkEAsWuArGADjIhhBBCSAE5fvx4satALKCDTAgh\nhBBSAOLxOLq7uzEzM1Psqhiyd+/eYlehZKCDTAghhBBSAMLhMGZnZxGNRjE4OGhbajE4OIhwOIxg\nMIi9e/difHzcsTrOzc05duzFBBfpEUIIIYQUgI6OjsTfZgvw9AwPD8Pr9aK9vd2paiXo6elBV1cX\njhw54vi5Sh06yIQQQgghBULTtIz29/l8CVlGe3s7Ojo6Mo7y2t2/oaEBu3btgt/vx/DwMBobGzM6\nTzlBB5kQQgghpERpb2/H0NAQhoaG0N3djebmZoTD4YyO8eCDDyIej9vaV9M0hMNhDA8P48EHH8ym\nymUBHWRCCCGEkALhcrkSf09NTSEej6OpqUm5fzAYREdHR0Ji0dvbi+HhYdsSDQA4ePCg7X137tyJ\naDSKTZs22f5OOcJFeoQQQgghBcLr9SIWiwEQb8wzc47lPvqI8a5du5Kc7HwyMjKCe+65p+KdY4AR\nZEIIIYSQgtHU1ITW1lYEAgF4PB7L/d1uN2KxWEIiEYvFMooeZ8KRI0e4QO8V6CATQgghhBSQQ4cO\n2d63q6vLwZokc+DAgYKdq9ShxIIQQgghhFjKPSoJOsiEEEIIIYuQTFPGEfvQQSaEEEIIKTFGR0dx\n3333KcsDgQAGBgbg8/kKWKvKwaXx8YMQQgghhJAEjCATQgghhBCigw4yIYQQQgghOuggE0IIIYQQ\nooMOMiGEEEIIITroIBNCCCGEEKKDDjIhhBBCCCE66CATQgghhBCigw4yIYQQQgghOuggE0IIIYQQ\nooMOMiGkoMTj8WJXgZQRwWAQwWAQ4XA4rSwajSIQCBShVuUD+yupVOggk4IxNTWF3t5eeDwebN++\nPa2ss7MTVVVVOHDggOWxxsfH0dvbW3aDX3d3N/bu3assD4fDi/Z3z83NobOzE49A7TQAACAASURB\nVB6PJ6PvSVsPDg46VLPsicVi2LhxY07HsLJ5rqTWsdTac3BwEIFAIPG/UXkwGEQgEEgr7+7uRktL\nCzo6OjA0NIRwOIxwOIxgMIhQKIRt27bB5/MV6qc4jpHtnLp+su2vdslH38mWxXwfJQVEI6TADAwM\naA0NDdrAwEBaWW9vb0bH8fv9+axa0QmFQtr4+LjpPj09PVpnZ2eBapR/XC5Xxt8ZHh4uSVu3tLRo\n4XA4p2PYsXkuGNWxVNpzz549WjAYTGx3dnZqoVAosb1///6kuvf09GgjIyOJ7YaGhsTfoVBIi8fj\nSd/du3evU1UvGqm2M7p+hoeH83a+bPqrHfLRd3LBzn00n+1IFh+MIJOC43a7EQgE0NPTg6mpqaQy\nr9dr+zjNzc35rlrRaW9vx6ZNm0z32bx5c4FqUzo0NjYWuwppBAIBjIyMYOvWrTkdx47Ns0VVx1Jo\nz3g8jkAggLvvvjvx2a5du9Df35/YDgQCSXX3+/0YGhpKfF9/v/B4PJiZmQEgopPBYBD/8A//4PTP\nKDiptjO6fo4fP17IKmVMvvpOLti5j5Z6OxJnoYNMikJHRwd27NiB7u7urI+haVoea1R85ubmEAqF\nMD4+brpfuf1uIF3nuBh0j11dXdiwYUNOx7Br82zJRx2dYmxsLO2zxsbGxOfRaDStvKGhAaFQCIB4\n0E69TqTzuHPnToyMjOS7yiVH6vUTj8fR3d2deFBIpVT6WSlcl2b3Uat2NPue2TZZXCwtdgVI5RII\nBNDY2IhgMIiOjg7DfeLxOA4ePIjNmzdjdHQUfr8f7e3tSfvIxTnHjh2Dz+dDV1dXoiwajSai1MeO\nHUN3dzeampoAAKFQCL29vWhtbYXf78fDDz8Mv98Pr9eL/fv3w+fzJRz4aDQKt9uNbdu2IRqNYmZm\nBseOHcORI0eS6hoIBBJRrVgshn379iWdy+v1Jo6ZWt+ZmRkMDw8jHo/ju9/9buK4vb29iWiHpmlw\nuVxJ52xsbMTGjRtx8OBBxONx7N+/Hy6XCyMjI9i0aRNCoRC2b9+Onp4ePPjgg4btbFS/XH+zUf3r\n6+vTbCfrOzY2hrm5Odx7770IBoOIx+Ooq6szrK/qvCMjI+jp6Un6/SMjI9i5c2fi99u5JlR2Mjq+\nnfYFhJa2ubkZ8Xg8cV63251m81gshuHh4cQ1r9fQGl2bmV73dsj2esgElbZVOhUzMzNp+7jdbgDA\nxYsXUVdXh/7+fkxNTaGxsTFRNjAwAL/f71hUXpLpdWTVfvrv+P1+eDyehP31ttWTes8Ih8OYnZ1F\nNBrF4OAg3G43urq6EAqFEtetVT8z669Abn3Pzv1cj1GfmZmZQU9Pj612sns+o/uoqh3Nxgyz9i1E\nnyJ5prgKD1KJ6HVdw8PDWkNDQ0I7mKr58nq92tTUVGLb5/Ml9j127JjW0NCQKI/H42l6uZaWloTG\nMRaLJWkW5fl8Pp82NzenRaNRLRqNapqmaSMjI5rP50s7tl4z5/f7k/SQLS0t2tzcXGI7FApp3d3d\niW3VMfWEQqEkfWFzc3OSvlBqt6V2bnJyUhscHEw7hs/nS/osEAhoVjjxm7dt25ZU/8nJybTfPDIy\norW0tCR95nK5ko577NixpHYxO6/V77e6JqzslE37Dg8PJ7XbyMhI4lozs3lqmZ362fmNqe1pRDbX\nQ3d3t61/0nYulytJNzw0NJSw/dGjR9PqPTs7q7lcrqR7gv77k5OTSdfSyMhIUv3ySbbXkVn7ye/o\n6ezsTFqvkWq71GtkZGTEUFtrp5/Z6a+59D2z+3kqZn3GTjtZne/o0aOm91FVO5qNGVbtm801QYoH\nI8ikqHR1deHo0aPo6upKe2oeGRmBy+VKmoprbm7GkSNHEpECj8eTKJfRDhldAoDvfe97ib/l9Ov0\n9HTiOw0NDfB6vairq0uKsMljpR5br3n0er2JKTg57auPxLS3t8Pv92NgYAB1dXXKY+rrq+mm/WSE\nSh8Ji0ajOH78OEZHRzE+Po6HH34YBw8eTGo3GSEZHx9HU1MTwuEwOjs7YUW+f/OZM2dw/PjxpPob\nacyNolRmWJ3X6vdbXRNWdsqmfWXUaGZmBu3t7ejo6MDc3ByA9Kne8fHxRDvpJQcSO9eR1W+0Q6bX\nAwAcOnTI9vEBYGhoCMPDw4lZBxk9rqurS0SE9chz6SPL+utn7969CWlFd3c3BgcHUVdXh0AgoIzC\nBoNBZf3cbrcywpntdWTWfpqmpfWR7u5udHZ2ps3M6L9jti2x6mfy3mLWX3Ppe3bu53qs+oxVO9k9\nn+o+qmpHqzHDjGyuCVI86CCTojM0NASfz5eWxzQWi8Htdid9vnnz5qQpZ6NBVI+c2pqamlJO6aqO\nYfR56jGk3CEajRoe3+12Y2xsLLEYxaq+esbGxtIGgQ0bNmBsbAzRaBRjY2MYHh7GgQMH0m7Ockrz\nyJEjiMfjtp3QfP3m0dFRTE5OZrTo0i522rq7uxtDQ0M4dOgQYrFYkpOTyzUhybR929vbMTQ0hKGh\nIXR3d6O5udkwby8A7NixA8eOHUNHRwdCoRB27dqVcf3s/EY72LkecqGrqyuRlg0AfD5fon97PB6l\nptNIejM8PIzt27cnnI9wOJzYz6zOKnmXFdleR5m2X2NjY0G0rEb3m1Ry6Xt27ud6MukzQHo72Tmf\n1X1URSb3cTvfdSqVHskNOsik6DQ2NqK/vx+dnZ0YGBhIfC5vZHrnxkyvZoTf78d9992XiBikRir0\net5c8Pl8hrqx1JX2Vujr4/V6EYvFDPfz+/3o6upCPB43jL53dnaip6cnKRqZb8x+s8/ng6Zpyvpn\nir5d7LR1V1cXPB5PQquox+qasEOm7St19vL67e3tTYqc6tm1axdmZmYQDAZx0003ZZWJoVDXfeqx\n7Obj7e/vTzgj+j7d09ODnp4eACLal+pMzMzMwO/3px0vHo9jZGQkScett4vb7cbc3FzGsxVm5OM6\nAqxtEYvF0NDQoNzfbHtqagrxeNyW/tzn81n211z6Xqb380z6DJDeTlbnc7lcpvdRVTvms++oKMQ5\niDXMYkEKzuzsbNpn+/btg9frxZkzZxKfyciOPhXc3Nyc7SwPcspQn0YqHo9D07RExEo1jWZ1bPm3\n3O7o6EA8Hk+q68jICDo7Oy2ntVOPKdm2bRu8Xm9SBCQWiyEWiyX227dvH6LRaNo0sdvtTiyOyWRx\nlp362f3Nsv56exllJvB6vUmRH7mPql3stLXb7U5kSdEPinauCTvtkGn7xmKxJDvu2rVLOQiOjo6i\nq6sLHR0dSfW0wsnr3ug88m/99qFDh2z9k47qxo0bkzIwhMNh3HvvvYnj7dmzJ8kuoVDIMPPNnj17\nMDw8nNhOfbjMZBbFDvm6jlLbD0Cakzo8PJyU+s5KUqH/7bFYLHF9WvWz9vZ2y/6aS9/L9H5u1Wes\n2snqfPq2N7qPqtpR1Xfs3MdUWF0TpDgs6evr6yt2JUhlIN+kNzAwgKtXr2Lbtm1J5X6/H9PT03jH\nO96R+GzXrl146KGHMDc3h5MnTyIWi2Hr1q0YHx/HZz7zGfz4xz/GqlWrcOedd+LTn/40fvKTn2B2\ndhZ33nkn7rjjDkxNTeHkyZM4f/48zp07h3e+8504evQoWltbEY/H0d/fj8ceewxLlizBnXfeiRUr\nVtg69tGjR/GVr3wFU1NT8Pl88Hq9+NjHPpao62OPPYZnnnkGX/rSlwDA1jGnp6fxmc98BsePH8eN\nN96I5uZm7Nq1C1/+8pdx7tw5TE9P4xe/+AX+/d//HaFQKLHP17/+dXz1q1/FqlWr8Pa3vz3RduvX\nr4fH47GVL9qJ3yztd+jQIczNzeHcuXM4f/48jh49ihMnTmD79u1YsWIFGhoa8PTTT2NqagrT09MA\ngG9/+9s4f/48/uAP/gAnT57EZz7zGYTD4cRvtDovIKYtU9tk3bp1lteEVTvIKFUm7XvixAnMzs5i\nenoaJ0+exPHjx7Fv375Eu+ttHovF4Pf7EQgE8JWvfAWPPPIIbrjhBtxxxx15u+5T2zNf10OmrFy5\nEidOnMCJEyfw7W9/G4cPH0Z1dXWifNu2bXj00Udx/vx5PProo1i/fj3+9E//NOkYIyMjWL9+fVpO\n3RMnTiTs9dhjj6GlpSXj+qnIx3Wkb7+NGzeisbERJ06cQCwWww033IBz584hGAziDW94Q+KhQdpF\n2m7lypVp18+6desQjUZx7tw5uFwu3HHHHQBg2c9WrFhhq79m2/cA9f3cCFWfkWVm7WR1vvHxcfT3\n95veR43aUX4vdcyw077yPuZ0nyL5w6XxUYWQssQsfR7JHSfaNxqN4siRI3jggQdQV1eHixcvYnJy\nEl1dXQgEAjnPBpQjZnaQEcHF0g+CwSCGhoaS0jySdNhOpBBQYkFIGTE4OGi6kIXkhtPtGw6HsXnz\n5sTiMrlSvrW1lbpEBWbOb0dHx6JxjoHyfAmQE7CdSCFgBJmQMiIcDid0c9kuGiJqCtG+gUAAwMKr\nk+Wix0z0yGTxMT4+jp6eHhw/fhz9/f1pcgEiYDuRQkEHmRBCCCGEEB1M85YnmpqacPbsWdx5550F\nP3c8Hs8pL+NiO28xz83zlvd5i3lunrf8z83zlv+5ed7CcObMGaxcuRKnT5927BzUIOeJCxcu4Pnn\nny/KuQuRRL6UzlvMc/O85X3eYp6b5y3/c/O85X9unrcwzM/P45lnnnH2JPl9c3XlsmXLFu3WW28t\nyrm///3vV9R5i3nuT3/600U5b6XZuJjXFm1c3ufVNNq43M+rabRxuZ+3ED4XNch5oq2tDadOncL5\n8+eLXRXiILt378Y//uM/FrsaxEFo4/KHNi5/aOPypq2tDdPT04mc005AiUUeqampKXYViMNs2rSp\n2FUgDkMblz+0cflDG5c/TmufGUHOE21tbQCASCRS1HoQQgghhJQzhfC5GEHOI/F4HH19fXSSCSGE\nEEIcIBKJYHp62vEFgnSQ80xfX1/iyYaUH3z4KX9o4/KHNi5/aOPypa2tDRs2bHBcYkEHmRBCCCGE\nEB3UIOcJapAJIYQQQpyHGmRCCCGEEEIKDB3kPFLMtwaRwsAZgvKHNi5/aOPyhzYmueKYgxyLxdDZ\n2YkDBw5k/N1AIIC9e/ciGAw6UDMgGo0iHA4jGAxi7969mJqasvxOLBbD4OAgwuEwBgcHMTc3l7bP\n/Pw8s1gQQgghhDhEobJYmL5qOhaLafv379dcLpfW0tKiDQwMJMqi0ajW2dmpNTQ0aL29vYbflfsf\nPXpUa2lp0Vwul7Z3714tHo8n7Ts0NKS5XC5t+/btWjQaTfu+Hfr7+23v29DQoM3NzWmapmnDw8Na\nS0uL5Xf0+8Tjca2zszOpfMuWLdqWLVts14EQQgghhGROIXyupWbOc2NjI/r7+xEMBnHPPffg/vvv\nT5Q1NTXhyJEjGBwcxL59+0yd8B07dsDv96OhoQGdnZ2or69PKt+zZw9isRgOHjyYtaM/PDyMhoYG\ndHV1We47PT2Nuro6AEBDQwNcLpfp/tFoFB6PJ7FdX1+PUCiUdV0JIYQQQkjpUjANcn19PbZt24ZD\nhw6llcXjcWzevDnrY/f09MDr9SIUCtmSS0jnGBCOdX9/v+n+sVgsLd+ex+PBxMRE0mfUIJc/lM+U\nP7Rx+UMblz+0McmVgi7S6+npwcjISJp+9+jRo+jo6Mj4eKFQCDt37sT27dvh9XoTzm5vb6+hRljP\n1NQUBgcHsX37dmzdutV035mZmYzrRgghpPTYswf4xCeAP/ojgDENQogKU4lFvmlvb4fb7cbw8HCS\nLCPbyKvL5cKRI0cACCcbAA4dOoSpqSnMzMykSTn0NDY2Yt++fQgGg9i+fTu++93vKve98cYb0+po\n5DTPz89j9+7d2LBhAwDA7XZj06ZNafn6uL24tyWlUh9uc5vb9rd/85s2PP54Gx5/PIIPfhCIREqr\nftzOz7b8rFTqw+3ctycmJhK+2KlTp7B27Vo4ih2hss/n0wYHBw3LVAvpVIvsenp6NJ/Pl9gOhUKJ\nhXl2vq+iu7s7bfGfEZOTk0nHnZ2d1VwulzY1NaX8TjQaTVvI19DQkLTNRXqEEFL6vOc9mgZo2m23\nadrsbLFrQwjJhkL4XFXOut/pdHd3IxaLJfS70WgUTU1NBTv/1NQUnnvuucR2LBZDQ0NDIuobi8XS\nvpNav1gsBr/fn7YfNcjlj3yqJeULbVze/Mu/AEAEn/0skLK0hJQR7MckV2xJLLxeL5599tm8nLCx\nsTGxWK+/vz9t8ZvTtLe3Ix6PIxAIwOPx4NixYwiHw4ny3t5eeDyetMWEgUAAg4OD8Hq9GB0dRSAQ\nKGi9CSGE5I4ccmpqilsPQkhpY8tBbm5uNoysRqNRNDc3Z3zS7u5udHZ2oqWlBTt37sz4+7miXxCY\nujjwyJEjSQ6zpKmpKRFJVi0oLLSzTwqPXt9GyhPauBJoK3YFiMOwH5NcsSWxOHjwIKLRaFoKtSNH\njqC9vT3jk0oHMxqNmi6kI4QQQgghpNDYzmJx/Phx9PT0wOfzwe12Ix6P5/Rij/379+Oee+7J+vtO\nMT4+jtbW1qy+e/bsWfT19aGtrY1Pr2WKflU0KU9o40ogAk1rK3YliIOwH5cvkYh41bTTs/a2HeT6\n+nrDl3xkSy7OtZPksmCwpqYGfX19+asMIYQQQghJ0NbWlkis4CQFz2JRzlCDXP4wIlH+0MaVQFux\nK0Achv2Y5ErJOsiapmW0P51TQgghhBCSDxx1kEdHR3Hfffdl/L1AIICBgQH4fD7b3zl48GDRF/wx\nD3L5w9ya5Q9tXAlEil0B4jDsxyRXHHvVdGNjY+I10JnS1dWFrq6uPNfIeebn57lIjxBCFgEZTlIS\nQkqEQi3Sc2mZahmIIanvDyeEEFKauFzAI48A731vsWtCCMmGQvhcJatBJoQQQpzC5Sp2DQghpQwd\n5DxCDXL5wxmC8oc2rgQixa4AcRj2Y5IrdJAJIYQQQgjRQQc5jzDVXPnDxZflD21cCbQVuwLEYdiP\nSa7QQc4j8XgcfX19nNohhJASh8vTCVmcyCwWTsta6SDnGZnmjZQnfPgpf2jjSiBS7AoQh2E/Ll/k\nq6adnrWng0wIIYQQQogOOsh5hBrk8oezA+UPbVwJtBW7AsRh2I9JrtBBJoQQQgghRAcd5Dxy9uxZ\nLtIrc2jb8oc2rgQiXKRX5rAfly9cpOcg4+PjCAQCGBwcxM6dOzE1NWX5nZ6eHlRVVcHj8aC1tRXj\n4+Np+9TU1HCRHiGEEEKIQxRqkd5SR49egszNzWFsbAxdXV0AgHA4DL/fjzNnzph+b+PGjbh+/brp\nPtQglz98+Cl/aONKoI2vmi5z2I9JrlRcBHlychL9/f2J7ZaWFsRiMVy8eLGItSKEEEIIIaVCxTnI\nzc3NCIVCie2xsTE0NDSgrq7O8rvBYBDhcBi9vb2Ym5tLK3daD0OKD3Vt5Q9tXAlEil0B4jDsxyRX\nKk5iAQAbNmxI/D08PIxAIGD5ndbWVjQ1NQEAPB4P2tvbMTY25lQVCSGEOAgX6RFCzKhIB1kSCARw\nzz334O6777bcVzrH8u9oNIqLFy8mRZ7n5+exe/fuhAPudruxadOmhBZKPtFye3FvS0qlPtzmNrcz\n3W7DL38ZQU1NqdSH2/nelp+VSn24nfv2xMREYqb+1KlTWLt2LZzEpWmV+RwdDofhcrmwdetWy32j\n0Sj27NmTFDGuqqpKWrSXalRCCCGlicsFfPvbwPveV+yaEEKyoRA+V5VjRy5hotEoPB5PwjkeGRlJ\nlMVisbT9fT4fDhw4kNgOhULo7OxM248a5PKHD0DlD21cCUSKXQHiMOzHJFcqTmIRi8XQ2tqa9JnP\n58OOHTsAAL29vfB4PDh06FCivL6+Hm63O6FVnpyctKVbJoQQQgghi4+KlViYEQ6H0d7entF3KLEg\nhJDFASUWhCxuKLEghBBCHIChIUKIGXSQUxgfH0+TYNjl7Nmz6OvrYxS5jKFtyx/auBKIFLsCxGHY\nj8uXSCSC6elpx9d9VZwG2Qp9OrdMqampQV9fX/4qQwghxBH4qmlCFidtbW1J77NwCkaQ84jb7S52\nFYjD6HNskvKENq4E2opdAeIw7MckV+ggE0IIIYQQooMOch5hHuTyh7q28oc2rgQiXKRX5rAfk1yh\ng5xH5ufnuUiPEEIIIcQhCrVIj3mQ8wTzIBNCyOLA5QK+9S3g/e8vdk0IIdnAPMiEEEIIIYQUGDrI\neYQa5PKHMwTlD21cCUSKXQHiMOzHJFfoIBNCCKk4KC4khJhBBzmPMA9y+cPcmuUPbVwJtBW7AsRh\n2I9JrtBBziPxeJxZLAghhBBCHKJQWSzoIOeZvr4+PrmWMXz4KX9o40ogwldNlznsx+WLfNW007P2\ndJAJIYQQQgjRQQc5j1CDXP5wdqD8oY0rgbZiV4A4DPsxyRU6yIQQQioOZrEghJhBBzmPnD17lov0\nyhzatvyhjSuBSLErQByG/bh8KdQivaWOHr1EGR8fx9jYGOLxOEZHR9Hf34/GxkbT78RiMQSDQTQ3\nNyMajWLPnj2or69P2qempgZ9fX0O1pwQQgghpHKRi/ScpuIc5Lm5OYyNjaGrqwsAEA6H4ff7cebM\nGdPv7dy5E2NjYwCA1tZWdHV14ciRI0n7UINc/lDXVv7QxpVAW7ErQByG/ZjkSsVJLCYnJ9Hf35/Y\nbmlpQSwWw8WLF5XfiUaj8Hg8ie36+nqEQiFH60kIIYQQQopDxTnIzc3NSc7t2NgYGhoaUFdXp/xO\nLBZLiw57PB5MTEwkfea0HoYUH+rayh/auBKIcJFemcN+THKl4hxkAEnaleHhYQQCAdP9Z2ZmHK4R\nIYQQQggpFSpOg6wnEAjgnnvuwd13322634033pgWHTZymufn57F79+6EA+52u7Fp06aEFko+0XJ7\ncW9LSqU+3OY2tzPdbsOvfhVBfX2p1Ifb+d6Wn5VKfbid+/bExETCFzt16hTWrl0LJ3FpWmVONIXD\nYbhcLmzdutVy3/HxcXR1dSUW6QFCYqF3klONSgghpDRxuYB/+zfgAx8odk0IIdlQCJ+ryrEjlzBy\n0Z10jkdGRhJlsVgsbf+mpqak7VgsBr/fn7YfNcjlDx+Ayh/auBKIFLsCxGHYj0muVJzEIhaLobW1\nNekzn8+HHTt2AAB6e3vh8Xhw6NChpH0CgQAGBwfh9XoxOjpqqVsmhBBCCCGLk4qVWJgRDofR3t6e\n0XcosSCEkMWBywV885vAH/9xsWtCCMkGSiwWGfF4nK+aJoQQQghxiEikMK+apoOcwvj4eJoEIxP6\n+vqSVtGS8oIPP+UPbVwJRIpdAeIw7MflS1ubeNW0028vrjgNshWpC/IIIYQQQkhlwQhyHnH6aYYU\nH84OlD+0cSXQVuwKEIdhPya5QgeZEEJIxcHl6YQQM+gg5xHmQS5/qGsrf2jjSiBS7AoQh2E/JrlC\nBzmPzM/PM4sFIYQQQohDFCqLBfMg5wnmQSaEkMUB8yATsrhhHmRCCCGEEEIKDB3kPEINcvnDGYLy\nhzauBCJcpFfmsB+TXKGDTAghhBBCiA46yHmGi/TKG+bWLH9o40qgrdgVIA7Dfly+FGqRHt+kl0fc\nbjf6+vqKXQ1CCCGEkLJEvmraaRhBziPUIJc/nB0of2jjSiBS7AoQh2E/JrlCB5kQQgghhBAddJDz\niNvtLnYViMNQ11b+0MaVQBuzWJQ57MckV+ggE0IIIYQQooMOch45e/Yss1iUObRt+UMbVwKRjPaO\nRqPYuHEjPB4PqqqqUFVVBY/Hg40bNyb+ye29e/diamrKmWo7QDQahd/vx/bt29HS0oKdO3cWu0p5\ngf24fClUFouKdZD9fr/tfXt6ehI3xNbWVoyPjxvuV1NTg76+Pk7tEEJIieNy2d+3ubkZZ86cSTi+\nLpcLhw8fxpkzZxL/ZmZm0NPTg+HhYfh8PoTDYYdqbk4sFsPevXvR2tqaGLMGBwcxNzeXtm8oFErs\n993vfhfxeBwjIyP4xje+UYSaE2IPmcXCaVlrxTnI4XAYw8PDGd28Nm7ciOvXr2NmZgZjY2Noamoy\n3I8a5PKHDz/lD21cCbRl9S3tFeGyphAwd3V1Ydu2bQCA7u7urM6RC9FoFNu3b8fevXsxNjaGqakp\ntLa2oqenB42NjWmR7aNHjybVtbe3F52dnYnfsJhhPya5UnEOcnt7O/bs2VPsahBCCCkiTi3Sa2xs\nBICiyCx6enoQi8UwOjoKAKivr8ehQ4fQ3NyMeDye5rSPjY0BADweDwDh4D/88MOoq6srbMUJKUEq\nzkHOlmAwiHA4jN7eXsOpKoB5kCsB6trKH9q4Eog4duRQKAQARYnCSqdc1kEi66KaOVVFxBcz7Mck\nV/gmPRu0trYmZBUejwft7e2JJ29CCCGVh5FT2d3djampKbS0tCTkC4Xk2LFjCAaDabOks7OzABZk\ngNFoFDt37kQsFgMgZlY9Hg86Ozvx4IMPFrbShJQodJBtoNccNzU1IRqN4uLFi2nTUPPz89i9e3fi\nFYhutxubNm1KaKHkEy23F/e2pFTqw21uczvT7Tb86lcRNDRk9v35+XlIHnjgAXzta1/D6tWrEY/H\n8dOf/hSXLl1CT08Pent7EY1GLY/3mc98BsuWLQOw4MQ2NDQot//6r/8aH/rQh0zre//996eVHzly\nBADw7ne/G4BYdHj48GF0d3fj9OnTOHz4cEJmISkte2W+LT8rlfpwO/ftiYmJxEz9qVOnsHbtWjiJ\nSyvHuRUbVFVV4fr165b7RaNR7NmzJylibPTdVKMSQggpTVwu4BvfAP7kTzL7XjweTziSIyMjuPvu\nu5PKx8fH0d7eDgAIBALo6OjIS31zoaenB4ODg+js7MTDDz+cVNbS0oLx8XHD30JIKVMIn6vKsSMv\nQuR0kx6fz4cDBw4ktkOhEDo7Ow2/Tw1y+cMHoPKHNq4EIo4s0mtqakIgC9txxAAAIABJREFUEEA8\nHkdnZ6cyJWihCIVCGBwcxMDAQJpzXO6wH5NcqTiJxfj4OI4dOwaXy4Xe3l74/f7EE39vby88Hg8O\nHTqU2L++vh5utxuBQAAAMDk5mfibEEII0SPHEwB4+OGHlWlBnUbqjPXR4Wg0iubm5qLUh5DFRsU5\nyE1NTWhqasL+/fvTyo4cOWK4yre9vT3ppqeCeZDLH72+jZQntHEl0FaQs6gyHkl27tyZ0czj0NBQ\nIo2cGdI5jkajiTUx8nxnzpyxfb7FDPsxyZWKc5CdJB6PJ96kx85JCCHlheuV1++5TF7DJ1OsuVwu\nyze2ysVz+SQajaK9vR0DAwMYGxvD2NgYZmZmMDk5aVpviZQRzs3N4fjx4xgbG8OxY8cQj8cxNDSE\nkZERAMJZHxoaSgSPuru7MTs7i82bN2N0dBSbN2/Gvn37AIg0qV/4whcwPj6Oo0ePoqOjA36/H7Oz\ns/+/vXuPbuK88wb+HRMIJIBkAYHz5oKRnCa9BtkyzWWTmCqySZuSBGND2/S8nBJfcpq+bc7G2EB7\nlt1uii1x2m2yOWCL3T3d7qaJkUybtOFiKXHu2QVLTvqWTQFJgddNc0IQI5cC5eLn/YNa8UW2ZWnG\nMxp9P+dwDjPS6PlpHo3808xvngdr165N3lhIlI7u7stTTat+UlJQUigUErIsZ7Tt3XffLW655RaF\nIyK9efnll7UOgVTGPjY+4GXR2Tn57U6dOiUkSRKSJAmfzzfq8a6uLmE2m0VBQYGoqalRINLJiUQi\nwmw2J2Mc+a+iomLY80tKSlK+F7fbLSRJEn6/XwghRDQaFZIkDXtPNptNuFyu5HJ9fX3y+ZFIREiS\nJAKBQPJxWZaT20QiEdHQ0KD4+x+Kx7Gx3X333eLuu+9WtQ3epDeE3W6HyWTSOgwiItKRUCiE4uJi\nWK1WSJIESZJQW1uL4uLi5L+CggLU1NRg2bJl2LVrlyY3xVVUVKC/vz8Z48h/g/XHsizDZrOht7c3\n+V5uvPHG5OuIv97BODjByOBQc2VlZcnnmEym5FB0ANDa2gohBDweD/x+P4DhswmaTCZ0dXXhwIED\nqKiowPbt21XaC0TKYImFgliDbHwsnTE+9nE+KJ/UKBYlJSU5UbubboxmsxmRSGTSrz/W37hoNIrS\n0lJs3rwZjY2NkGUZTU1No563ZMkSlJWVIRgMwuv1ora2dtIxpIvHMWWLCTIRERGNIkb8ihhr2efz\nIZFIJBPewSFTRz6/uroa7e3t6OrqQn19PaxWa1o3wBNpgSUWCuI4yMbHsTWNj32cD7q1DkC3wuEw\nAoFAcihU4PJkI5IkwefzIRwOo729HbFYDLFYLDkj3+rVq1FbWwuv14tYLIbVq1fD7XbD7/fD6/XC\n4XDg/fffR1FREaqrq2E2m1FRUTFsngEl8TimbOXtTHpKKy8vR19fHx566CGOYmFgQ6cuJWNiHxuf\nJHXD7y8HJ48zLh7HxtXd3Y1169bBbDajt7dXtXaYICuEU00TEeUGSQL8fjBBJspRnGqaiIhIBTw1\nRETjYYKsINYgGx+vEBgf+zgfdGsdAKmMxzFliwkyEREREdEQTJAVtmXLFv5yNTDe9GF87ON8UK51\nAKQyHsfGNTjVtNpX7TkOsoLMZjO2bNmidRhERDQBSdI6AiLKRHl5OYqKilRvh2eQFcQaZOPj1QHj\nYx/ng27epGdwPI4pW0yQiYiIiIiGYIKsoLHmqSfjYF2b8bGP80G51gGQyngcU7aYIBMRERERDZG3\nCbLL5Ur7udFoFB6PB8FgEB6PB4lEIuXz+vr6OIqFwbFvjY99nJmeD3rw07d/isS51N+P+tKtdQAT\nEkLg5+/8HL9671e4OHBR63ByDo9j4+IoFioJBoOIRCIIBoNpb1NTU4ODBw8CABwOB2pra9HR0THq\nebNnz+YoFkSUV3o+6MGP3/4xXo69DAC4bu51qPpMlcZR5b5T506hKdAEALC9ZcP3vvg93H/z/bii\nIO/+bBMNw1EsVOJ0OlFXV5f280OhECwWS3LZZDIhEAikfC5rkI2PdW3Gxz5OT88HPfhG5zfw1V98\nFS/HXsbVM67Gd5Z9BytvWql1aGko1/0oFpZZFuy4bwcWmxcjEo/gO3u+g+U/Ww7/IT/PKKeBxzFl\nK+8S5MmKRqOjEl+LxYLe3l6NIiIi0s5YifF/Pfxf2HjnRkyfNl3rEA1j5U0r8eq6V/GTyp8wUSaa\nYkyQJxCPx9N+LsdBNj7WtRkf+zi1iRJjyyzLxC+iG91aB5C26dOmY83n1jBRniQex5QtFjNNYN68\neaMS37GS5hMnTmDdunXJ2hiz2YylS5cmL/UMHrBczt3l3t5eXcXDZeWXB+klHq2X5316Hh7a/RCO\n9BwBAMwsnolbFt2CBR8twKEDh/DjCz8GABzrPQYAWLx0cQ4s34MnX/gBfnX8fZ3Ek/5y+RfK8fvZ\nv8drr7yGnvd6sO7DdSjcV4g1V6/BVz71Fc0/L3pZHrzKq5d4uJz9cm9vbzIfe++997Bo0SKoSRJC\n75VY6igoKMDAwMCEzwuHw6itrU3epAdcLrEYmSSP9UeWiCgXvXXwLfSf6UfL6y3oPtYNAJAgYfaM\n2Tl/o9ipJ+O4+sv/GzOKX9A6lIwNiAH8+cKfk2eP5181H89/43nc5rhN48iI1DcVOVduf8spLBqN\nwmq1Dltnt9tHPWcyQ8QREeWi/jP9mF88H5uu3QS8DvR+2IuLly5CQGDxvMW49bpbseCqBVqHmZEf\nPgmsKLsXn7l7sdahTNrZC2fR88ce9H7Yi5mXZgIAigqL8OiyR9H/536NoyMyjrxLkMPhMLq6uiBJ\nEpqbm+FyueB0OgEAzc3NsFgs2LFjx7BtvF4vPB4PrFYrDhw4AK/Xm/K1WYNsfN3d3clfrmRM7OPh\nLLMs2Obaho/Pfgzf73z4zZHfoC/RB1/Ch79Z/Df4+ue+DmuhdeIX0pEfohvL/lcZnDfdqHUoaUv8\nJQH/IT+e//3zOHfxHKZJ0/DFxV/EQ59/CDfPvxkA8PHRjzWOUj94HFO28i5BttvtsNvt2LBhw6jH\nOjo6Uo6PPLgNAFRVcXxPIso/82fNR4OjAas/uzqZKL9+7HW8fuz1nE2Uc8HIxBgAHNc6hiXGRKS8\nvEuQ1cRxkI2PZySMj308vokS5e/d+j3Mnj5b6zAnUA4gonUQ4xJC4Nn/+yye+91zTIwzwOOYslWg\ndQB6Eg6H4XA4Mt5elmVONU1EeWEwUf63B/4ND9z8AKZPm47Xj72Ot//f21qHZgj95/vxs3d+hnMX\nz8FxrQP/tOKf8I/L/5HJMeW97m5ONT3lRt6QlwlONW1srGszPvbx5Aw9o3zoo0O4/frbtQ4pDd0Q\n4nqtgxiX6UoTWu5pwdUzrsaNltypldYLHsfGVV4+NVNNM0EmIqKszZ81H3ctvkvrMAxl6aKlWodA\nlLdYYqEg1iAbH89IGB/7OB+Uax0AqYzHMWWLCTIRERER0RBMkBXEcZCNjzdgGh/7OB90ax0AqYzH\nMWWLCbKCTp8+zVEsiIhygCRpHQERZYKjWOSg6667jqNYGBzr2oyPfZwPyiGEvsdBpuzwODauqRrF\ngmeQiYiIiIiGYIKsINYgGx/LZ4yPfZwPurUOgFTG45iyxQSZiIiIiGgIJsgK4016xsa6NuNjH+eD\ncq0DIJXxODYu3qSXg8xmM2/SIyLKAQIcxoIoF/EmvRzEGmTj49UB42Mf54NurQMglfE4pmwxQSYi\nIiIiGoIJsoLMZrPWIZDKWNdmfOzjfFCudQCkMh7HlC0myEREREREQ+RlghyNRuHxeBAMBuHxeJBI\nJCbcpqmpCQUFBbBYLHA4HAiHw6Oe09fXx1EsDI59a3zs43zQrXUApDIex8bFUSxUVFNTg4MHDwIA\nHA4Hamtr0dHRMe42xcXFGBgYGPc5s2fP5igWRERERCrhKBYqCYVCsFgsyWWTyYRAIKDIa7MG2fhY\n12Z87ON8UK51AKQyHseUrbxLkKPR6KhE1mKxoLe3d8Jt/X4/gsEgmpub0yrLICIiIqLck3cJcjwe\nz2g7h8OBqqoqOJ1OrFmzBk6nc9RzOA6y8bGuzfjYx/mgW+sASGU8jilbeVeDPG/evFGJbDpJs91u\nH/b/UCiE/v5+zJ07N7n+xIkTWLduXbI2xmw2Y+nSpclLPYMHLJdzd7m3t1dX8XBZ+eVBeolHq+V3\nw+/C9JEJpbeXAgB63uwBAMMsRw+/jZ43T+smHiWWE39IoPKuSgDaf360Xh68KqyXeLic/XJvb28y\nf3vvvfewaNEiqEkSQghVW9CZcDiM2tra5E16wOUSi/GS5FAohLq6umHbFBQUDLtpb6w/skREuWjf\nq/swv3i+1mGownFtKX60PYqKlae0DkVRHx/9OJkgExnZVORceVdiMfRMMHC5Jtnlcg1bHslms2Hj\nxo3J5UAggOrqavWCJCIiIiLN5F2JBQB4vV54PB5YrVYcOHAAXq83+VhzczMsFgt27NiRXGcymWA2\nm5PPi0Qiw7YZxBpk4+vu7k7+ciVjYh/ng24AN2gdBKmIxzFlKy8TZLvdnjyTXFVVNeyxjo4OBIPB\nUds4nc6UN+YRERERkbHkZYKsFo6DbHw8I2F87GPlPNF4A47HZuLKmQN44ukY5pguaR3SX5UDGF1O\npwX97qPcxuOYspV3NcgTCYfDcDgcGW0ryzKnmiYi+qvjsZnoeWsO3nzZhCc2sKQhFe4josnp7p6a\nqaaZII9gt9thMpky3n7Lli385Wpg/PFjfOxj5Vw585ORfja7j2sYyUjdWgeQNLiPps8Y0Nk+ym08\njo2rvPzyVNNqX7VngkxERKp44ukY7F/sB4BhpQNPNN6A+tWfwv95qBh/SkzTKrwpNdZ7fuLpGABg\nwaLzLK8g0hEmyApiDbLx8eqA8bGPlTPHdAkPf+/DUeu1Lyson/IWx3rPg0mxJElTHpOR8TimbDFB\nJiKiKaXf0gv1DL5nU+GF1O85r6bsItI/JsgK6uvr4016Bse+NT72scJSnBh94ukYbr0rAQAalRV0\nY6rnkB0spbi+6C8p33N+zWmrPh7HxjVVN+lxmDcFzZ49G1u2bNE6DCKiKTXeUGWpKgfmmC7huz/4\nA952ZX5DdK4Z3CfT0iy55vBvRKkN3qSnNp5BVhBrkI2PdW3Gxz6evPFqiseqrJUkLU+ZlmvW8lhn\nikeu175OO7fxOKZsMUEmIqKsZFRTnKf3pKWbIA/u04ICkTd12kR6wgRZQWrXw5D2WNdmfOzjyXvi\n6Rg+u/Q0gNE1xWOdKdZ20IZuzVpO97z5YM3yjCsHWF6RAR7HlC0myERElJaxxvKdY7qENd86kXKb\nsRLhfB3VTIjUb3zk+rGS4nwcQ5pIC0yQFcZRLIyNdW3Gxz4e27i1xjmV8JZrHUDaRibOrE1OD49j\n4+IoFjnIbDZzFAsiMqzxao3HvOmOZ5CHG6vGIs3ai3wcQ5poKI5ikYNYg2x8vDpgfOzjsT3xdAzF\nnz4DIFWtceptxl6v5SgW3Rq2ndqYefOIB554OoZp0y4nyaxNHhuPY8oWE2QiIhqmrg7Y8N2ylLXG\nX1kdT71Rvp4RnqTJTggy8vlzTJcwc9boF3mi8QZs+G4ZvvxlgOdqiLLHBFlBHAfZ+FjXZnzsY+Dw\nYeDdXkvKOteCgsmNSjHmek3/+pRr1nK6w7yNt15K0QfHYzPxbq8Fe/Zc/oGT73gcU7aYICtIlmXe\npEdEOe+qqz75f7p1rpMtpdD8hLNGFR6TT5BH76lU+3pobXJ7eyaREeWGqbpJLy8T5Gg0Co/Hg2Aw\nCI/Hg0Qiodg2W7Zs4S9XA+OPH+NjHwPPPANcd33qcY0LxvirIY2VcWqeCafSrVnLYw3zNvYGo1cV\npHiJJ56OYeasCwAAXszkcWxkgzfpqX3VPi8T5JqaGjQ2NsLpdKKurg61tbWKbHP69Gk1wiUd6e3t\n1ToEUhn7+HKCddvffJTyMaUm/hh8/mRrcpWhYR9P4kzx5fUpVqZ46hzTJcxf8JfM4zIYHsfGxzPI\nCguFQrBYLMllk8mEQCCgyDYXL15ULlDSJY5UYnzs48vGqhEeMxGeZA3yYOKnTYKswz6eTA3yGD9S\nUp1Zzlc8jo2PCbLCotHoqNPyFotl3F+bmWwzlbS6lKTlJax8u3yWb32cb/0L6G9fF4x1pniSifNY\n638bPgBAqwRZK90ZjGIxegeOWeYyxg2UevtsGVm+7Wsj93HeTRQSj48xRJEC2xw7dk6jwe+7oc1d\n2Vq1q2Xb7+Pv/16DZvOuj7VqF2AfD7ICABzXlqTcKvv1LwAAvnhD6uer6yls/vYSbP72kilu9+9x\n+NDdKffRyRNXKLavR/8d6oa+PltTgcexsdtVX94lyPPmzRt1Wn6iBDidbY4ePQogAaBoyFrzX/+p\nTYY2N51o1a6WbcvQ5ssg3/pY689WuUbtdrPdKWt7uUbtdrPdKWu7XKN2u9muam0N5mIfApipamt5\nlyBbrdaUCfHSpUuz2mbBggUAgOLiouyDnDStblnW8lbpfHvPbNf4bbNd47fNdo3fNttVt63L7R09\nejGZd6kl7xJku90+bDkajcLlcg1btlqtk9oGAMLhsMKREhFNvXPnzuHcuXOc+CiHDQwMQJblYTeX\nE9Hk5N1NegDg9Xrh8Xjg9/vR3t4Or9ebfKy5uRkNDQ2T2oaIKNf97ne/w2OPPQaTyYSVK1eq2tbZ\ns2fR1NSkaht69c///M/44IMPVG2jra0N8+fPR1VVFV5++WWI/LoTkkgRkuCRM0owGITT6dQ6DCJS\nWHV1NXbt2pVcjkaj8Pv9KCkpQSgUQl1dHUwmU1aP5ZL+/n48++yz+Jd/+Rf09fVh4cKFOHLkCHbu\n3Ik1a9ao0ub58+exfPlyvPnmmzh9+jSuvvpqVdrRq6uvvhrXXnst3nnnHcyaNUuVNk6dOoUFCxZg\n4cKFMJlMuHDhAtavX49169Zh0aJFqrRJlAmXy4Wurq5h69T4Xs7oO1vQKIFAYFLPj0Qiwu12i0Ag\nINxut5BlWaXISGmhUEi0t7cLt9stqqurRTQaTT42Xr9m+hhpp6urS0iSNGxdaWlp8v+yLIvVq1dn\n9Fh1dbUaIatmYGBA1NfXC5PJJB588EHx61//WmzevFnY7XYxe/Zs1T6z58+fF/fff78oLi4W8+bN\nE+FwWJHX9fl8w/4N0tsx/PHHH4uZM2eKoqIisXLlSnHhwgVFXjeVW2+9VXzlK18RTqdTvPbaa2L9\n+vXCbDaLBx54QHz44YeqtauGwe9pn88n3G43v6cNIBAIiLa2tlHfyUIo972c7Xc2E+QRQqHQpA+U\nXP9jma9kWRbt7e3J5UAgIGw2W3I5X5MnI5JlWfT09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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Nosná vlna po modulací\n", "m=0.9\n", "uc = Uc*(1+m*um)*cos(2*pi*fc*t)\n", "\n", "Ck= fft(uc)\n", "absCk = 2./len(uc) * abs(Ck)[:len(Ck)/2]\n", "f = arange(0,fs/2,float(fs)/len(Ck))\n", "\n", "figure()\n", "subplot(211)\n", "plot(t,uc)\n", "title(ur'Neharmonicky modulovaný signál m=90\\%')\n", "grid('on')\n", "xlabel(r't\\,[s] $\\rightarrow$', x=0.9)\n", "ylabel('u\\,[V] $\\uparrow$', y=0.9, rotation=0)\n", "ylim([-1.1*max(uc), 1.1*max(uc)])\n", "xlim([0,6*Tm])\n", "\n", "ax=subplot(212)\n", "title(ur'Neharmonicky modulovaný signál m=90\\% -- amplitudové spektrum')\n", "plot(f,absCk,'.-')\n", "xlabel(r'f\\,[Hz] $\\rightarrow$', x=0.9)\n", "ylabel('U\\,[V] $\\uparrow$', y=0.9, rotation=0)\n", "ylim([0,1.1*max(absCk)]);\n", "xlim([0,10e3])\n", "grid(1,'major')\n", "minorticks_on()\n", "tight_layout()\n", "\n", "text(6000,-0.7,r'$\\mathbf{f_c}$',size=16, horizontalalignment='center')\n", "annotate('$\\mathbf{f_c-f_{max}}$', xy=(5100,0),size=16, xytext=(4200,-0.6), arrowprops=dict(arrowstyle=\"->\",connectionstyle=\"arc3,rad=0\", ),)\n", "annotate('$\\mathbf{f_c+f_{max}}$', xy=(6900,0),size=16, xytext=(6800,-0.6), arrowprops=dict(arrowstyle=\"->\",connectionstyle=\"arc3,rad=0\", ),)\n", "annotate('$\\mathbf{f_c-f_{min}}$', xy=(5500,0),size=16, xytext=(4700,-1.2), arrowprops=dict(arrowstyle=\"->\",connectionstyle=\"arc3,rad=0\", ),)\n", "annotate('$\\mathbf{f_c+f_{min}}$', xy=(6500,0),size=16, xytext=(6300,-1.2), arrowprops=dict(arrowstyle=\"->\",connectionstyle=\"arc3,rad=0\", ),)\n", "\n", "ax.add_patch( mpp.FancyArrowPatch((5100,1), (6900,1), arrowstyle='<->', \n", " lw=2, linestyle='solid', mutation_scale=25,\n", " color='green', alpha=0.9, shrinkA=0, shrinkB=0 ), )\n", "text(6200,1.3, '$\\mathbf{B=2 f_{max}}$',size=20)\n", "axvspan(5100, 6900, facecolor='g', alpha=0.2, ymax=0.3)\n" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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D7VIcI8SyKjvICV6vF9u2bcPmzZuzLrd8+fK0zm++nWYiIiIiqixVd5NeQjAY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\nAAAAoAYBGQAAAKjxH40CMqVUdbTkAAAAAElFTkSuQmCC\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Nosná vlna po modulací\n", "m=0.9\n", "uc = Uc*(1+m*um)*cos(2*pi*6000*t)\n", "uc1 = Uc*(1+m*um)*cos(2*pi*10000*t)\n", "\n", "Ck= fft(uc)\n", "absCk = 2./len(uc) * abs(Ck)[:len(Ck)/2]\n", "f = arange(0,fs/2,float(fs)/len(Ck))\n", "\n", "Ck1= fft(uc1)\n", "absCk1 = 2./len(uc1) * abs(Ck1)[:len(Ck1)/2]\n", "\n", "\n", "figure()\n", "\n", "ax=subplot(212)\n", "title(ur'Neharmonicky modulovaný signál m=90\\% -- amplitudové spektrum')\n", "plot(f,absCk,'b.-')\n", "plot(f,absCk1,'b.-')\n", "xlabel(r'f\\,[Hz] $\\rightarrow$', x=0.9)\n", "ylabel('U\\,[V] $\\uparrow$', y=0.9, rotation=0)\n", "ylim([0,1.1*max(absCk)]);\n", "xlim([0,15e3])\n", "grid(1,'major')\n", "minorticks_on()\n", "tight_layout()\n", "\n", "text(6000,-0.7,r'$\\mathbf{f_c}$',size=16, horizontalalignment='center')\n", "annotate('$\\mathbf{f_c-f_{max}}$', xy=(5100,0),size=16, xytext=(4200,-0.6), arrowprops=dict(arrowstyle=\"->\",connectionstyle=\"arc3,rad=0\", ),)\n", "annotate('$\\mathbf{f_c+f_{max}}$', xy=(6900,0),size=16, xytext=(6800,-0.6), arrowprops=dict(arrowstyle=\"->\",connectionstyle=\"arc3,rad=0\", ),)\n", "annotate('$\\mathbf{f_c-f_{min}}$', xy=(5500,0),size=16, xytext=(4700,-1.2), arrowprops=dict(arrowstyle=\"->\",connectionstyle=\"arc3,rad=0\", ),)\n", "annotate('$\\mathbf{f_c+f_{min}}$', xy=(6500,0),size=16, xytext=(6300,-1.2), arrowprops=dict(arrowstyle=\"->\",connectionstyle=\"arc3,rad=0\", ),)\n", "\n", "ax.add_patch( mpp.FancyArrowPatch((5100,1), (6900,1), arrowstyle='<->', \n", " lw=2, linestyle='solid', mutation_scale=25,\n", " color='green', alpha=0.9, shrinkA=0, shrinkB=0 ), )\n", "ax.add_patch( mpp.FancyArrowPatch((9100,1), (10900,1), arrowstyle='<->', \n", " lw=2, linestyle='solid', mutation_scale=25,\n", " color='green', alpha=0.9, shrinkA=0, shrinkB=0 ), )\n", "text(6200,1.3, '$\\mathbf{B=2 f_{max}}$',size=20)\n", "axvspan(5100, 6900, facecolor='g', alpha=0.2, ymax=0.3)\n", "text(10200,1.3, '$\\mathbf{B=2 f_{max}}$',size=20)\n", "axvspan(9100, 10900, facecolor='g', alpha=0.2, ymax=0.3)\n" ] } ], "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": "3.5.3" } }, "nbformat": 4, "nbformat_minor": 0 }