{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "Aliasing\n", "===========" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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CCGQfoatAPnuWdufa9e4BvVEx3di7F8jLy/yggHhmzlSzwSUTTjswgLxiQSqL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rOVSqUa3/r3KO/X0bWxsdGwvLi46P5MXEePz+drWD7qc7cXn8ncpNcnkUiko79Gu/lmPgynvb09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\nCTIAAABQhwQZAAAAqPP/AZDu3c30Em8tAAAAAElFTkSuQmCC\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.patches as mpp\n", "from scipy.fftpack import fft, ifft\n", "##########################################3\n", "\n", "# Konstanty\n", "fs=8000\n", "Ts=1./fs\n", "length=1\n", "\n", "\n", "# časová osa\n", "t = arange(0,length,1./fs)\n", "u = 1*cos(2*pi*29*t)\n", "\n", "# Spektrum \n", "Ck= fft(u)\n", "absCk = 2./len(u) * numpy.abs(Ck)[:len(Ck)/2]\n", "f = arange(0,fs/2,float(fs)/len(Ck))\n", " \n", "# analogový signál\n", "fig=figure()\n", "subplot(211)\n", "plot(t,u)\n", "title(u'Analogový 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([-1.2, 1.2])\n", "xlim([0,0.4])\n", "\n", "subplot(212)\n", "title(ur'Analogový 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", "xlim([0,100])\n", "ylim([0,1.2])\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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ldIiN1Z7ayM8PmDFD9d9UeK1oWRkwZw7V2U29OPXV2bP6irL4+1OzhyqtW5OM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PTYHsSwg2wh5iDLPYtFJzrtLoKpOOI5n2zxFaVvD4qi/bdMX7CyxVdV8+/aef0Yli2+teA5XQw7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\nWUBXVxdaW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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "faktor=200 # kolikrát je vzorkovácí frekvence menší než fs\n", "\n", "# jehlový vzorek\n", "uvz=u.copy()\n", "for i,data in enumerate(uvz):\n", " if i%faktor!=0:\n", " uvz[i]=0\n", "Svz= fft(uvz)\n", "absSvz =2.*faktor/len(uvz) * numpy.abs(Svz)[:len(Svz)/2]\n", "\n", "# Modulační signá\n", "fig=figure()\n", "subplot(211)\n", "plot(t,u,':r',label=u'původní signál')\n", "#stem(t[::faktor], uvz[::faktor],'b-','ro','x')\n", "plot(t,uvz,label=u'navzorkovaný signál')\n", "title(u'Vzorkovaný signál')\n", "grid('on')\n", "xlabel(r't\\,[s] $\\rightarrow$', x=0.9)\n", "ylabel('$\\mathrm u$\\,[V] $\\uparrow$', y=0.9, rotation=0)\n", "ylim([-1.2,1.2])\n", "xlim([0,0.4])\n", "\n", "\n", "subplot(212)\n", "title(ur'Vzorkovaný signál -- amplitudové spektrum')\n", "\n", "plot(f,absSvz,'b.-',label=u'navzorkovaný signál' )\n", "xlabel(r'f\\,[Hz] $\\rightarrow$', x=0.9)\n", "ylabel('$\\mathrm U$\\,[V] $\\uparrow$', y=0.9, rotation=0)\n", "ylim([0,1.1*max(absCk)]);\n", "xlim([0,100])\n", "grid(1)\n", "#legend()\n", "\n", "axvline(20, linestyle='--', linewidth=2, color='m')\n", "axvline(40, linestyle='--', linewidth=2, color='m')\n", "axvline(60, linestyle='--', linewidth=2, color='m')\n", "axvline(80, linestyle='--', linewidth=2, color='m')\n", "text(19,-0.25 , '${1\\over 2}f_\\mathrm{s}$', size=16)\n", "text(39,-0.25 , '$f_\\mathrm{s}$', size=16)\n", "#figtext(0,1 , '$\\mathrm f_m$', size=16)\n", "tight_layout()" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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5+27gr3+Vfz6duNR8CXnFec59un18AA9rf9SJfSPQ43IDDGUsv00UynWObD6e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FcXMkYP8fl882YrgHyMH6/+eK25ZthSfsLOeWz7NzVZ0dEBpKR4f/5b9+tBYr4fewogJSGDvI2K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\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "figure()\n", "subplot(111)\n", "\n", "plot(t,u,':r',label=ur'f=29\\,Hz')\n", "plot(t,uvz,label=ur'vzorky: ${1\\over 2 }f_\\mathrm{s}=20\\,\\mathrm{Hz}$')\n", "plot(t,cos(2*pi*11*t),label=ur'$f=11\\,Hz$')\n", "\n", "title(u'Vznik aliasingu')\n", "grid('on')\n", "xlabel(r't\\,[s] $\\rightarrow$', x=0.9)\n", "ylabel('$\\mathrm u$\\,[V] $\\uparrow$', y=0.9, rotation=0)\n", "ylim([-1.2,1.2])\n", "xlim([0,0.4])\n", "legend()\n" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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HKBSact+FIqdT4VKMALrdbkSjUWE4PBwO53zBTkEbHQWeekrtKAghhBQ4hmFgt9uFbX4J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\ns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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "fmin=5.\n", "Tmin=1./fmin\n", "# časová osa\n", "t = arange(0,length,1./fs)\n", "u = 1*sin(2*pi*5*t)+1.2*sin(2*pi*6*t)+0.9*cos(2*pi*7*t)+\\\n", " 0.99*cos(2*pi*8*t)+0.7*cos(2*pi*9*t)+1*cos(2*pi*10*t)+\\\n", " 0.6*cos(2*pi*11*t)+0.8*cos(2*pi*12*t)+0.6*cos(2*pi*13*t)+\\\n", " 0.55*cos(2*pi*14*t)+0.45*cos(2*pi*15*t)+0.35*cos(2*pi*16*t)\n", "\n", "\n", "\n", "faktor=320 # kolikrát je vzorkovácí frekvence menší než fs\n", "\n", "# jehlový vzorek\n", "uj=u.copy()\n", "for i,data in enumerate(uj):\n", " if i%faktor!=0:\n", " uj[i]=0\n", "Sj= fft(uj)\n", "absSj =2.*faktor/len(uj) * numpy.abs(Sj)[:len(Sj)/2]\n", "\n", "#různě široký vzorek\n", "uvz=u.copy()\n", "zmena=False\n", "for i,data in enumerate(uvz):\n", " sirka = 1 # šířka vzorkovacího impulzu\n", " if i%faktor==0:\n", " continue\n", " for s in range(1,sirka):\n", " if ((i-s)%faktor)==0:\n", " uvz[i] = uvz[i-s]\n", " zmena = True\n", " if not zmena : \n", " uvz[i]=0\n", " zmena = False\n", "\n", "## Spektrum\n", "P= fft(u)\n", "absP =2./len(u)/sirka * numpy.abs(P)[:len(P)/2]\n", "\n", "Svz= fft(uvz)\n", "absSvz =2.*faktor/len(uvz)/sirka * numpy.abs(Svz)[:len(Svz)/2]\n", "\n", "\n", "fig=figure()\n", "subplot(211)\n", "plot(t,u,':r',label=u'původní signál')\n", "#stem(t[::faktor], uvz[::faktor],'b-','ro','x')\n", "plot(t,uvz,label=u'navzorkovaný signál')\n", "title(u'Vzorkovaný signál')\n", "grid('on')\n", "xlabel(r't\\,[s] $\\rightarrow$', x=0.9)\n", "ylabel('$\\mathrm u$\\,[V] $\\uparrow$', y=0.9, rotation=0)\n", "ylim([-3,3])\n", "xlim([0,2*Tmin])\n", "legend()\n", "\n", "subplot(212)\n", "title(ur'Vzorkovaný signál -- amplitudové spektrum')\n", "plot(f,absP,'ro-', label=u'původní signál')\n", "plot(f,absSvz,'b.-',label=u'navzorkovaný signál' )\n", "xlabel(r'f\\,[Hz] $\\rightarrow$', x=0.9)\n", "ylabel('$\\mathrm U$\\,[V] $\\uparrow$', y=0.9, rotation=0)\n", "ylim([0,2*max(absCk)]);\n", "xlim([0,40])\n", "grid(1)\n", "legend()\n", "\n", "axvline(12.5, linestyle='--', linewidth=2, color='m')\n", "axvline(25, linestyle='--', linewidth=2, color='m')\n", "#axvline(37.5, linestyle='--', linewidth=2, color='m')\n", "#axvline(50, linestyle='--', linewidth=2, color='m')\n", "text(12,-0.25 , r'${1\\over 2}f_\\mathrm{s}$', size=16)\n", "text(24,-0.25 , r'$f_\\mathrm{s}$', size=16)\n", "#figtext(0,1 , '$\\mathrm f_m$', size=16)\n", "\n", "axvspan(0, 12.5, facecolor='g', alpha=0.15, ymin=0, ymax=.99)\n" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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lnlxYjsyd2vHkwnJbWxsqKiqyJp5cWO7r68OmTZuyJp5cWA4+li3xZONyV1cX\nnnzySQDA4ODgpJOcyWKLRQIOhwPt7e2TWiwOHDgQdga5pqYGQ8ND2HdwX1rinY7M65bg164eLNdf\nj72dr6TtbOif+2Zjwz8sxbO/H8D8+VMf7l+4dRn+cHAuAODmW8fw3R8MT3mbye97Kf5wsBuXrfwQ\nfrLvRFadQc7WFouuri75Q5SSw5yJY87EMWfimDMx0f7ASFbezmKRLL1eH/UscrT2Cs6DLGbHo69B\nU/Ax/GTfX9Na6F1d8TY+/NGz+MH3pn7zkNE3C/Dq3+ZXvuji8/jWd16f8jZFLFx0AbOLPoqq685l\nVXGczfjLRBxzJo45E8eciWPOMocFcgiv1zvpscrKykmvEZkijmIbeXMGluvPY9FFF9K+r03bTuHp\nH2jx2nBqTc7jZzVobyvFzR8uw4c/Oo4Pf/QtvD1egLfOZO4Q+nPfbPS8MBc/db2CZ3++AGff4tQc\nRERE6ZB3BbLH48GuXbug0WhgsVjCpnuzWCzYsGHDpHVsNhtaW1vhcDhgtVphs9mibpvzIIs5fqQQ\nCxc7M7Kvpe9/F2s/78MjO8VuHnLhAmD/j2J84rrlOPRiEfb86hV8+7uv4cmfvop/MEt46FuZuRmJ\n3w/sun8x/nHzm3jz1G9Q/aFx/PdPs+cbi6FFQxivGFc7jKhS+Wot3zFn4to0bejSdKkdRk7hOBPH\nnGVO3l2kV1lZicrKSmzZsmXScx0dHVHnRw6uAwB1dXVpjzFfHH9pNpa8P7W75aWiadMIbv7Qchw9\nVIjLr3wn7mv9fqBr/zw89K1FKCm9gEd+eBIVxvCbl9z5tRF88sPL0ddTNOk5pT3XOQ9vvDYD9Z/3\noff3wOe+IuHBBxZh7efHOMczERGRwvLuDHI6sQdZTP/RQnysdlXG9ldcMoGmTSNo3b447uv+2FuE\nL9y6DA8+sAh33XsK//FfJ6IWwPPm+3HXv5zC//3mYiRxvWfK3n0XaN2+CJvvP4WZMwOzRlz/sbM4\n+1YB/thblL4dTxPs2RPHnImrAKf9FMVxJo45yxwWyCE8Hg+MRqPaYeSNY0cKseKKtzO6z9u/LOFl\n7yw8/9zcSc8N9s/CP33lEnz9S5fgMw1j+PlzL+OmT7wV9wztp+tP48IFDfalsd3hp08XQ7foAj6+\n5r2bnRQUAOvv8OHpJ1KbvoaIiIhiY4EcorKyEiUlJSmvzx7k5L3zDnDilVl44/XfZnS/hYXA3fee\nwq77F8nbN5JrAAAgAElEQVRnfd98YwYeaF6MdZ+8FCs/+Db+5/eDWPv5saRuLFJQAGz79ut46IFF\nablo7q0zGjzasghbtr8hF+rB+Yc/e7sP//s/8zD6Jg/jeNizJ445E9eHPrVDyDkcZ+KYs8zhb1ZS\nxcveQixZ+i5mFWZ+Gu6D/zsXfx2chb//yAfw8L8txC03LMeMGcCvnh/Ehn8ewZy5YjFVX3cOVdeN\n44l/L1U81ice0+G6G8/igxWTz7SX6iaw+pYzsD+d+h91RERENFne3ihEaTU1NTj91mk88+wzaoeS\nE3718/nY51iAf3/qZMb3HXqjj0uWnsePf34C719+fkrbfPWvM3HbTR/Az597GRcvUebCw9eHZ+Dv\nP7IcDtfLWHZp9G3+yTMbm+68BPv/MKjobbpTka03CiEiovzEG4VQzuk/Wojyy+PPJJEuRUWB3oqV\nHzyH//r1y1MujoHANHK3f1nZad8e3bUQdZ/zxSyOAeCDlW9DWzqB3x6Y3FNNREREqWGBrCD2ICfv\n2NHZKL/iHbmfNpMesg7j5lvH8NTPlL1Vs/kbI3jhN3MUmVni2JFCOH85H03/PPkujpE5+9xXJDz9\nQ16sFwt79sQxZ+KYM3HMmTjmLHNYIJMq+o8Wovwydc4gF5dM4Ls/GFb8Vs3z5vvxz998E//3m4sx\n1cal1u2LsGHTCEq0iWO85TOn0dczBydezrtpzYmIiNKCBbKCOA9ycs6fB14ZnIWy8ndw3Q3Tq2f1\nM+vGcP68Zkp3uXvhN3PgPVaI278iRX0+Mmdz5vrx2fU+/L8f8SxyNJw3VBxzJo45E8eciWPOMocF\nMmXcKwOFuHjJuyiaM/2uDy0oALb92xt48IFFGD8rPu3bxATQct9i3P0vp1BYmPx66+/wwfF0Md55\nm7fVIyIimioWyApiD3Jyjh8thOFv7RVq9CCnm/HD47jGeC6lad/2ORZg1iw/br71TMzXRMvZcsN5\nrLz6bTz7i/nC+1TC0KIhjFeMq7LvRNizJ445E9emaUOXpkvtMHIKx5k45ixzWCBTxqk5g0WmbP7X\nN/CUtRTDQ8n3BZ8b1+Dhby9Cc8hNQUR87isSnuGd9YiIiKaMBbKC2IOcnGNH37vF9HTrQQ5a9oF3\nse4OCd/5t+SnffuxTYurrjmH6g+di/u6WDmrWfMWhk7MxOE/zRaKNRn33nURvnDrMpjXLcGYL7c+\nNtizJ445E1eBCrVDyDkcZ+KYs8zJrd90NC0cPzpbbrGYzho3jeB3z83Fi+7E076NvlmAx7+nw933\nnkp5fzNnAuvu8OGZHyp/Z73B/kL84eBc/No1H/fedZHi2yciIsomLJAVxB7kxN59F3jZOwv6FdO3\nBzlo/nw/Nn3zVFLTvj320EL8n9vGUFae+KYl8XJW/3kffvXzBTg9puyhXVgYmG6uoMCPa6rjn+HO\nNuzZE8ecietDn9oh5ByOM3HMWeawQKaMemVwFi66+F3MmTv9ZrCI5rPrx/D22xr88j9jt9+87J2F\nXzgW4B/vmXxTEFGL33cBN970Fn62p3jK2wry+4ES7QVcvOQ89u5/BT/4ng4v/GaOYtsnIiLKNiyQ\nFcQe5MT6j84Ou0HIdO1BDgqd9u3cePQr777zb4vw5Y2j0C26kNQ2E+Xsc1/24eknSqZ8s5KgJx4r\nxUD/bDz7wiCurngbD1lP4u6mS/Cyd5b8miWnlmBOX3YWzezZE8ecidvk34Qaf43aYeQUjjNxzFnm\nsECmjDp2pBDlV0z//uNQq64fx99VncMTj02e9s39hyL8sbcIdzRFvylIKowfHseMGcDvD069YO3a\nPw9Pfl+Lx348JJ/1/9CN4/jHzW9i4+eXKN7KQURElA34201B7EFOLDDF29vy8nTuQQ61+b438KPd\npXhteIb8mN8P7LpvMTZtOyV005REOdNogNu/PPUp344dKcTWb7wPjz55EpcsfTfsuc992YfrbhzH\nXY2X4EJyJ75Vw549ccyZOOZMHHMmjjnLHBbIlFHHXyqEYZrPgRzNsg+8i4Yv+vBwyLRv+/fNx7lz\nGny6Xvk/rG5tOI3nn5sbVpCLGB0pwMbPL4HlgTdQYYx+Ud62b7+Od97W4KEHkp/KjoiIKBewQFYQ\ne5Dju3AhMF2YYUX+9CCHato0goP/Ow9/6puNd94BHvrWImy5/xQKBI/CZHI2f8EEPvXZ09j7lPiU\nb+fPA//05SW4+dNncGtD7OJ91izgu08Mwfmr+fjpM8pdFKg09uyJY87EMWfimDNxzFnmsECmjPnr\n4CwsXHwBc+flxwwWkeYvmMCl+nfwpc8uw2dqPoAly87j+o+dTdv+bv+yhD1PleB84pnjZH4/8G+W\nizBv/gT++ZuJ52TWlk7g+/8xhNbti/DHPnVuc01ERKQ0FsgKYg9yfP0vhfcfA/nTgxyk0QBnTs9A\n/0uzMSO17oekc3b5Ve/g/cvP48CzyReuTz9Rgt7fz0Fr+8mk4zNc9g4cp36Ly770Bl5+OeldZQx7\n9sQxZ+LaNG3o0nSpHUZO4TgTx5xlDgtkyphjR2ZjRR72H4eaMydww42Ll5zHw4+fTPv+AlO+JXex\n3vPPzcVjDy3E9/9jCPPnp3aW/9ZbgTNnUlqViIgoa7BAVhB7kOM7fnTyBXr51IMMAA9Zh3HzrWP4\nxW9eRnHJRErbEMnZmv9zBsePFsJ7bFbc1w32z8I9Gy7Gw7aTeP9ygZ6MCNXVwB13ABOpvbW0YM+e\nOOZMXAUq1A4h53CciWPOMocFMmVMoMUiv88gF5dM4Ls/GE65OBZVONuPtf/gwzNPxj6LPOYrwIZ/\nWIpNW0/h2hvGp7S/xx4DXn8duP/+KW2GiIhIVSyQFcQe5NguXAC8xwqhvyy/e5CVIJqzhi/68F8d\nxTj71uQ7+b37LnCX+RJ85Ka30PDFsSnHNns24HAATz0F7Nkz5c0pgj174pgzcX3oUzuEnMNxJo45\nyxwWyJQRr74yC7qFF1LubaXULX3/u6i6dhz//dPJLUCt2xdjYgJofuANxfZ30UXAz38OfO1rQE+P\nYpslIiLKGBbICmIPcmzHovQfA/nXg6yEVHJ2+1ck/OQJLfwhf5/Y/6MYz+2fh4cfP4mZM6cW05JT\nSzCn771bW19zDWCzAZ/9LDA0NLVtTxV79sQxZ+I2+Tehxl+jdhg5heNMHHOWOSyQKSP6jxZiRcQU\nb5Q5N378LM6cLsAfe4sAAD2/m4PvfHsRHvvJqyjRpqcf+jOfATZuDPx/fGqtzURERBnFAllB7EGO\n7fjR2VHPILMHWVwqOSsoAG7/25RvJ16ZiU13XoJdjw1DX576jBXJ2LoVKC8H7rwTYWevM4k9e+KY\nM3HMmTjmTBxzljkskCkjjh8txIor8nsGC7Ud/Ush9jkW4O8/8gF8sXEUN348fXfxC9JogB/8ANi/\nHzAYgFtuASQp7bslIiKaEhbICmIPcnQTE4EZLAyXsQdZCanm7OSrs3DhggZn35qBv7w4W+GoYpsz\nB1ixAhgYAH71K6CmBjh+PGO7Z89eCpgzccyZOOZMHHOWOSyQKe2G/joTJdoLmL8gi+4ekYeKigL5\n/2DlOXzrO69ndN/av03DvGJF4AK+j34UWLkS2LIF+O1vA9MAEhERZQsWyApiD3J0x47MjtlewR5k\ncanmLHgXvyfsJxS/UcnQoiGMV8S+Eu/pp4H6euAPfwB+9CPgxInAXMlFRcDXvw5cfDHwxS8Cdjsw\nNvXpmMOwZ08ccyauTdOGLk2X2mHkFI4zccxZ5rBAprQ7/lL0Kd4oszJ9F79QWi3Q0fHemeSCAmDV\nKuCBBwCPB+jtBT70IeDxx4GlS4E1a4BHHwUGB4HGxkBbBvuXiYgoU/KyQPZ6vWhtbYXL5UJrayt8\nPl/CdZqbm1FQUACdTgej0QiPxzPpNexBjq7/aCHKL4s+xRt7kMVNx5xdeinw1a8Czz4bmDe5qSlQ\nNK9aFTj7/Nxzgf7lxkbxbbNnTxxzJq4CFWqHkHM4zsQxZ5kzxdsD5KaGhgb0/O0WX0ajEWazGR0d\nHXHXKS8vx8QEe2hTcezIbKy7I/EfIUQAsGABUFcX+O/CBeDGG4EXXgBmzgy0Ypw5A8yfr3aUREQ0\nneXdGWS32w2dTicvl5SUwOl0KrJt9iBPFm8GC4A9yKnIp5zNmBE4c1xfD/z5z8DoaODiPrs9+XmV\n2bMnjjkT14c+tUPIORxn4pizzMm7Atnr9UIbbIT8G51Oh76+xB9uDocDLpcLFoslqbYMAoZOzMT8\nBRdU6Xul6SHYv3z55cCPfwz85CfA/fcDN98MvPSS2tEREdF0lHctFiMjIymtZzQaUVlZCSBQUNfW\n1sptGkHsQZ6sP8ENQqZjP226ZWPOlpxagtEToxnZ10c/Griw75FHgOuvBzZsALZtA+bOjf569uyJ\nY87EbfJvUjuEnMNxJo45y5y8K5AXLlwIKeJS+GSK5mBxHPy32+3G2NgYiouL5cdff+11WL5mwdJL\nlwIAFhQvwMoPrpQLmuBX4/m0fOB/FsBw+ceyJh4up2/Z3ePG+Oi4/AEe/CowHcuzZgHV1V3YvRuw\n22tw5ZWA2dyF668HPv7x9O+fy1zmMpe5nJ3LXV1dePLJJwEAg4ODk7oGkqXx+5Pt5JsePB4PzGZz\n2NlfnU4Xt0h2u91obGwMW6egoCDsor2amhoMDQ9h38F96Qk8R239+vtQYTwX8yK93x/8fVaeEc1m\n2Zqz0ROjuO4adeJyOoGvfQ0oLw+cWdbr33uuq6tL/hCl5DBn4pgzccyZOOZMTGQBLSLvepBDzwQD\ngZ5kk8kUthzJYDBg69at8rLT6UR9fX36gpxGjh8tRPkV0ad4I1LK6tXAiy8GZry49trA/Mrnzqkd\nFRER5aq8O4MMBM4iO51O6PV6dHd3Y9u2bXKrRENDA3Q6HXbv3h22jsvlkovn/v7+sHWAwF8pp986\njWeefSZzbyTL+f1AdZkB/9s3gBItL9Kb7tQ8gxzqlVeATZsCBfOKFcD4eKA/+emn37tRCRERTX9T\nOYOcdz3IQOAscvBMcl1dXdhzHR0dcLlck9apra1FbW1tRuKbLk6+OhPz5vlZHFNGXXop8NOfBqaH\nu+22984kNzYGZsMgIiJKJO9aLNKJ8yCHO360EIbL47dX5NOcvkrJxpwNLRrCeMW42mGE+eQnAzNe\nAF2YMQO44grgHd7xPCmpnG3Jd22aNnRputQOI6dwnIljzjKHBXIEj8cDo9GodhjTQv/RQpRfzoqE\n1LNnD/CxjwE9PYDbDfzd3wUu6CMiIoonL1ss4om8iE8E50EOd+zobPxdVfwrpbJxNoZsx5wlT6sF\nurpqAAD79gH/9V+A2Ry4kO873wGWLlU3vmzFq+TFVaBC7RByDseZOOYsc3gGmdKm/2ghymPcYppI\nDZ/+NPCXvwCXXQZccw3w0EPA+fNqR0VERNmGBbKC2IP8Hr+fPcjpwpyJiezZmzsX+Na3gOefB/bv\nByorgeeeUye2bMU+R3F96FM7hJzDcSaOOcscFsiUFq+dnImiOX6U6jiDBWWnyy4Dnn0W2L4d+MIX\nAv8ND6sdFRERZQMWyApiD/J7jh8thCGJ9gr204rLxpwtObUEc/rmqB1GVPF69jQaoK4OOHQo0I/8\nwQ8G7sT37ruZiy8bsc9R3Cb/JtT4a9QOI6dwnIljzjKHBTKlxfEjhShP0F5BlC3mzwd27gR+/Wvg\nZz8DVq0KtGAQEVF+YoGsIPYgv+f4S7NRfkXiM8jspxXHnIkR6dlbuRJwuYAtW4D6euDyy4EbbgBu\nuQWQpPTFmG3Y5yiOORPHnIljzjKHBTKlBWewoFyl0QC33w4cPgycPRs4k/yrXwXuxEdERPlB4/f7\n/WoHMR3U1NTg9Fun8cyzz6gdiur8fmCVwYD9fxiEbtEFtcOhDBk9MYrrrsm+/uipuOWWQHFcUgIM\nDgbmVSYiotwQ7NlO5cw7zyCT4l5/bQZmFfpZHFPOe/rpwEV8RUXAyy+rHQ0REWUKC2QFsQc5oP/o\n7KRvMc1+WnHZmLOhRUMYrxhXO4yoptKzp9UCdjtw992Bi/jyBfscxbVp2tCl6VI7jJzCcSaOOcsc\nFsikuGNHCpMukIlywYYNQGcncPy42pEQEVEmsEBWEOdBDug/mvwUb9k4p2+2Y87EKDFv6IIFwMaN\nQGvr1OPJBZxrVVwFKtQOIedwnIljzjKHBTIp7vhLhTDwDDJNM9/4BrB3LzA0pHYkRESUbiyQFcQe\n5MAMFsePzMYK9iCnDXMmRqmevcWLA7ejfvhhRTaX1djnKK4PfWqHkHM4zsQxZ5nDApkUder1GdAU\ngDNY0LR0993AE08Ao6NqR0JEROnEeZAVwnmQA3736zn4XutC/OQXJ9QOhTJsOs6DHM2Xvwzo9cC9\n96odCRERxcN5kClrHD+afHsFUS5qbga+9z3grbfUjoSIiNKFBbKC2IMcmMFC5AI99tOKY87EKN2z\nd8UVwI03Ao8/ruhmswr7HMUxZ+KYM3HMWeawQCZFHROY4o0oV23dCjz0EPAOvywhIpqWWCArKN/n\nQQ7OYCFykxDO6SuOOROTjnlDjUbg8suBn/xE8U1nBc61Ko45E8eciWPOMocFMilm5NQM+P3Aoos4\ngwVNf1u3Bm4/fYHDnYho2mGBrKB870E+9rf+Y40m+XXYTysuG3M2tGgI4xXjaocRVbp69j7+cUCr\nBf7zP9OyeVWxz1Fcm6YNXZoutcPIKRxn4pizzGGBTIrpP1qIFew/pjyh0QTOIu/YEWgvIiKi6YMF\nsoLyvQf5+NHZwreYZj+tOOZMTDp79j79aeDcOaCzM227UAX7HMVVoELtEHIOx5k45ixzWCCTYo4f\nLcSKK3hZP+WPgoLAvMg7dqgdCRERKYkFsoLyvQf5+NFCGARbLLKxnzbbMWdi0t2zd/vtwMAA8MIL\nad1NRrHPUVwf+tQOIedwnIljzjKHBTIpYuTUDJx/R4OL3sdL+im/zJoF3HMPzyITEU0nGr+fl5co\noaamBqffOo1nnn1G7VBU8YeDc/DwtxfhmV/+Ve1QSCWjJ0Zx3TX52R999iyg1wNOJ3D11WpHQ0RE\nwHs926mceecZZFLE8ZfEbjFNNJ3MnQt84xtAS4vakRARkRJYICson3uQjx8pRPll4lO8sZ9WHHMm\nJlM9e1/9KvDLXwb6kXMd+xzFMWfimDNxzFnmsEAmRRw/OhvlnMGC8phWC5jNwIMPqh0JERFNFXuQ\nFZLvPcg3XKmHw/kKLl7yrtqhkEryuQc5aHgYWLkSOHIEeN/71I6GiCi/sQeZVDU6UoBz4xq87xIW\nx5TfLr44MO1bW5vakRAR0VTkZYHs9XrR2toKl8uF1tZW+Hw+RdbJ1x7k/qOzUX75O9BoxNdlP624\nbMzZ0KIhjFeMqx1GVJnu2du8GbBagSQ+VrIW+xzFtWna0KXpUjuMnMJxJo45y5y8LJAbGhqwefNm\n1NbWorGxEWazWZF1xs9mZ4GQblOZweLwnw4rHM30x5yJ6evL7A0cysqAT34SeOyxjO5WUZnO2XRw\nHMfVDiHncJyJY87ESZKU0np5VyC73W7odDp5uaSkBE6nU5F1LlzIz5tkBGawSK1APj2Wn2fdp4I5\nE5Pqh+NUWCzAd78LjOfo38xq5CzXncEZtUPIORxn4pgzcSyQk+T1eqHVasMe0+l0cf8qS2WdfHL8\naCHKrxCf4o1ourr6auDaa4EnnlA7EiIiSkXeFcgjIyNpW+eN1y/AvG4Jxnxiab33rovwhVuXpbTu\nVNdXYt2eF+akPHvFq6+8mtJ6+Yw5EzM4OKjKfgsKgLvvBm6+GUjlBEZjI1BTA9xyi/j6U1139+7B\nlNZVYt9qrKvEvocxDIA5E1k31XGmdtzMWW6sCwAvvRSYXSgVeTfNm8PhQHt7O/bv3y8/ptPpcODA\nAVRUVKS8zrJly/Dqq28CeB/mzgUWLwa0Wu2kM8/R9PW9d0HP4sXAlVeKvaeprK/WukGSJCWVI3oP\ncyZGrXzl9nEtAdDmYNypravMvpmzTOVM/bjV3Hd+5SyVdSVJktsqXnllGH5/Efx+8eo67wpkj8cD\ns9mMnp4e+TGdThf3LHEy61RWVuKNN95AeXl5egInIiIioqQdP34cixcvhsfjEV53ZhriyWqVlZVh\ny16vFyaTKWxZr9cLrQMgpeQTERERUfbJuzPIQKCYdTqd0Ov16O7uxrZt21BcXAwgMJ2bTqfD7t27\nk16HiIiIiKaPvCyQE3G5XKitrVU7DCIiIiJSQd7NYkGUSyJbeYDU7gSZT6LlrLm5GQUFBdDpdDAa\njWyJIiKaxurr68OWU/m9mXc9yIl4PB4YjUahdbxeLxwOB6qqquB2u9HY2IiSkpI0RTg9NDc3o7W1\nFVqtFnq9HjabbVKvdz5zuVzo7++Hy+Wa9FxDQ4N8wajRaITZbEZHR0emQ8w68XJWXl6OiYkJFaLK\nfh6PBz09PZAkCd3d3WhpaUFZWRkAfrbFEi9n/GyLzu12Y3R0FJIkobOzE83NzRxnCcTLGcdZbE6n\nEw6HI+yxlH5v+mnKqqur5X9LkuSvr69XMZrcYLVa1Q4hJ2g0mrDl3t5ev8lkCnustLQ0kyFlvcic\n+f0cb7FIkhSWG6fT6TcYDPIyP9smS5QzjrXoSktL/T6fz+/3B3IUOrY4zqKLlzOOs+gkSfL39vaG\n/V5M9fcmWyymKJVbVxOlind1TJ3D4YDL5YLFYmFbyt/09/ejpaVFXq6urobX68XY2Bg/22KIlzOK\nbXBwUL6wvbS0FBqNBgB/h8YTK2cUm9PpRFVVVdhjqf7eZIE8RSxYUseCRVwqd4KkwFdqdXV1qK2t\nxbp163gR7t9UVVWFFSM9PT0oLS1FcXExP9tiiJezIH62TRaaH6vVKv+RwXEWW6ycBXGchXO5XFGv\nQUn19yZ7kKeIBUtqjEaj3C+l0+lQW1sbdiMWim7hwoXyHYKCOAYTC+3Nq6yshNvtxtjYGKdqBLB8\n+XL531arFTabDQDHVTyxcgbwsy2egYEB2O12rFmzBjfddBMAjrNEouUM4DiLNDAwAJ1OF/UzPdXf\nmzyDPEUsWFITq2Ch+PR6fdTxFes26RT4CjfahbcsjsPZbDasX78et912GwB+tiUjMmcAP9viKSsr\nw+bNm1FWVoY1a9YACBR3HGexRcsZwHEWye12o6enBzabDTabDZIk4fHHH8fAwEDKvzdZIE8RCxZx\nLFhSl8xdHSmcwWDA1q1b5WWn0zlpCqB853K5YDAYwgo9frbFFy1n/GyLLjjFVlBtbS2cTicGBwdh\nMBg4zqKIlzOOs8nq6upgNpvl/wDgzjvvRFlZWcq/N9liMUUsWMSxYEnM4/Ggs7MTGo0GFosFJpNJ\n7pu12WxobW2V7+oY+vVuPouVs5KSEmi1WjlP/f39zFmI4EVSwc8yu92OtWvX8rMtjlg542dbdAMD\nA3jzzTflZa/Xi9LSUixfvjysXSX4HMdZ/JyVlpZynMXg8/nQ3t4OjUaDBx98EHV1dSgrK0vp9ybv\npKcA3oZanMvlgtfrBRAoWJgzoszzer0oLy8Pe8xgMODYsWMA+NkWTaKc8bMtOofDgZGREeh0OnR2\ndmLDhg3yWWKOs+ji5YzjLP1YIBMRERERhWAPMhERERFRCBbIREREREQhWCATEREREYVggUxERESU\nhbxeL+rr68NmrVCCzWbDhg0b4HA4FN3udMICmYiIiEhFdrsdra2taGhogMfjkR/XaDS49tprsWPH\nDgwMDKC5uRkFBQUwGo148MEHASDs8fLycvnxeMxmM5qbm+WZMGgyzoNMREREpBJJkmCxWHD8+HE4\nHA5otdqorysrK0NLSwscDgfWr1+Pe+65J+xxl8sFk8kkP05TwwKZiIiISCU9PT3Q6/UAAneEo+zA\nFgsiIiIimpINGzaoHYKiWCATERERqcDj8cBut8Pr9aK1tRUulyup9aLd4y3yMbfbDaPRCJvNBofD\ngV27dkGn0ykSdyw+ny+t288ktlgQERERqaCyshL19fXwer3YvHlz0ut1dnZOemxgYCBseXR0FHa7\nHcuXLwcAlJeX4/HHH59SvPE0NzfDbDajo6MjbfvIJBbIRERERCqJdjY4kTVr1ky6GG/Pnj1hyzqd\nTi6Om5qaYDKZcNtttwnvK9mzwqWlpVi3bh1MJhOsVivKysqE95VNWCATERERTTOVlZUAAKfTiQMH\nDuDYsWMpbWfHjh2QJCmp1/r9frhcLlitVuzYsSOl/WULFshEREREKtFoNGnbtiRJaGhowIEDBwAE\n2jAkSZKL52Ts3Lkz6dc2NDTA7XajoqJCONZsw4v0iIiIiFQi2mLh9/tjXqQX+Xh9fT22bdsmF6yd\nnZ0x51meKrvdjvXr10+L4hhggUxERESkCo/Hg127dqG3txcPPvhg3H7f4B3zBgYG0NHREXYnvV27\ndsHj8cDhcMiP2+12uN1u6PV6eRaLrVu3pq03uKOjI6Ue52yl8afSHU5EREREaTUwMAC73S40w4Va\n2/Z4PEKtG9mOZ5CJiIiIaEqmU3EMsEAmIiIiyjtsIIiPBTIRERFRluru7sbGjRsV3abNZsOuXbtg\nMBgU3e50wh5kIiIiIqIQPINMRERERBSCBTIRERERUQgWyEREREREIVggExERERGFYIFMRERERBSC\nBTIRERERUQgWyEREREREIVggExERERGFYIFMRGkjSZLaIRAREQljgUykgubmZng8nozu0+PxwGKx\noLW1VX6sqakJGzZsUHxfPp8P9fX10Ol0im8bALxeL8rLy9Oy7XhcLhcsFgtsNlvG951vRMZmOsd2\nuo4RpaT7WHC73bBYLHA4HHA4HLDb7fJz0fJONF2wQCZSgdVqRXt7e0b3WVlZCYPBgM7OTvmxhoaG\nSb/8lSj+SkpKsHfv3ilvJ5aGhgZYrda0bT+W2tpaAAjLYTQsoMVEy1e0sRlLsmM7FUptJ13SeSxI\nkstGNXIAACAASURBVISGhgbs3LkTdXV1KCsrQ2Njo/x8tLwDHP80PbBAJsowp9OJdevWqVLglZWV\nhS3X1taioqIi7LHe3t5MhiTMZrPBbrfjpptuUmX/q1atSviabM9htomWr2hjM55kxnYqlNpOOqT7\nWHA6naiurpaXq6qq4Ha7w14TmXeA45+mBxbIRBnmdDrR0tICAHA4HKrF4fP54HQ65VYPSZLQ1NSE\nkZGRqK+P7CdWq7/YbDZj+fLlquwbAPx+f8znEuUw3nrxlqerWPmKHJuiprq+0ttJl0wcC5HjPd7+\nUh3/RNloptoBEOWbhQsXoqSkBKtXr8aePXtQV1cX9rzT6YTFYoFer0dTUxOAQB+gVqvF6tWr4Xa7\nMTIygs7OTnR0dExax2QyQafTobu7GwaDAWazOWocIyMjsFqtkCQJ+/fvh8vlwujoKNxuN1pbW6HV\namE2m+F0OtHc3AyNRoOenh74fD7ceeedcDgckCQJxcXF8jYtFot8hrWkpGTSPiVJgs1mg16vBxDo\nn9y8eTPsdru8D7vdjoqKCtjtdjQ0NKC5uRk7duyAJEnYuXMnVq1ahe7ubphMJrnlIZrW1lZUVVVB\nkiR0dnbKv7ibm5sT5inZfUmShLKyMpSXl2Pnzp2QJClmDi0WC4xGI0wmE/bs2QOTyQS9Xo8tW7bE\nzW0q4yEWt9uNxsZGNDU1QafTob+/Hzt37pQLGrfbjYGBAQCQc1ZZWZlwm7HWiRZ7Z2ennO9YYy5y\nbIrGlsr60caLVqsN206i9xPk9XphtVrl8WMwGOTnzGZzzOMAQMJjwWg0ymMm+LzT6cSaNWvQ3NyM\n1atXY8uWLTAYDFMaLy6XCx0dHfLPBgD6+/thtVoxMTERcx2R8R/MRbRjTclxT5QSPxFljN1u9w8M\nDMj/1mg0fp/PF/V1BoNBfq0kSX6NRuN3uVzya0wmk99ut09aJ1R9fb1/165d8nJnZ6ffZDLJy06n\nM2zZbrf76+vro8ZTXV0d9lhk7KtXr/Z7PB55ub+/36/RaMLWqa6uDlvH6XT6m5qa5H9Hxm+z2eR/\n6/V6OR9+v99vMBj8kiRNitXv9/utVuuk3LjdbvnfifIUb1979+6Vc9Tf3+9vbW0N21asHFqtVr/B\nYPD7fD6/2+0OiydRblMZD9E4nc5J78vhcMjL1dXV8rLX6/WXlpbG3V4y68SKPfT5aPmKHJuJ9pNo\nbMdbP954iXaMxHs/fr/fX1VVJR8LkesHY4l1HASX4x0LiZ5XarxE+9lEvtfIvCc7/oP5iXesKfU+\niFLBFguiDOru7pa/ogyeOd6zZ8+k1wXPvgZfG1wOnnEK/jv0q0y/3x/2PBC4An/Hjh0x4/FHfH0a\nuRwZTyxutxu9vb1hvZqRsTidTgAIO+NcW1sLq9WKsbEx+Qxt8Otsl8uF+vp6AIGzahqNJuzr3aqq\nqphnjvR6PZqbm2Gz2eD1elFXVyfHkyhPye7L4/HAarXinnvuCXs8Vg5LS0uh1+tRXFyMyspK+exl\notyGvkZkPESj0+nkbTQ1NcFkMuG2226Tnz9w4IC8HOwtHRwcjLvNROvEin1sbAxA7HxFPi4am8j6\nicZLqETvBwiMjeD6ZWVl6OnpkZ9LdBwEl4PbAcKPhWSeV2q8xPrZpLJO5PgPnhmPd6wp9T6IUsEW\nC6IMkSQp7OtKIPDh3t7eHrUNQqvVTnpMdNq0srKyjPSz9vT0TCo6I7nd7qjxa7Va9PT04KabbkJT\nUxPa29uxe/dueL1euRDwer3QarVwuVzyeqtWrQr76jpUbW0t2tvb0d7ejqamJlRVVYWtGyk0T8ns\ny+12o6enB1arFVu3bk2qyA2+11QpMR5CWx8OHDiAY8eOhT0fbOkYGBhIetvJrDOV9z2V2JJdX3S8\nJHo/a9euRWdnJ+rq6uSLcoOSOQ4AxDwWgoKtRx0dHZAkadIYVGK8KC0ypmSOtWx8H5QfWCATZcje\nvXtht9vDzhxVVVXBZDJhcHAwpYttNBpN3Oe9Xi9KS0tjvj7e8sDAACRJStiDCgAGgwFerzfha6Kd\n8ZUkSS6uzWYzdDqd3Cccui6AsCIhXv+xw+FAXV2d/BqLxQKr1Sr3eUYKzVOifWk0mrD+SbPZHPa+\nYuUw0c9KCcnsIzh114EDBwCEx2gymbBx40b5D7ZY/euhUlknVszxxlyi/SQa2/HWFx0viaxbtw4j\nIyNwOBxYtGgRvv/978vPJXMcBOOLdiwE1dfXy/OpJ/rjNJZE4yWZ8ZTsZ0i0bYke11OJk0gUWyyI\nMqS/vz+sOAYCvwy0Wm3ScwaHfn3p9/snfZ0ZWaRarVZ5xozI9aMt6/V6eRter1cuVPR6fdiZ6OBU\nT8H1a2trodfrw672j5wOqq6uDpIkyRdKAYF2hvr6evmPA61Wi7Vr16KpqSnsF2WwHSV0XZ/PF3N2\nAa/XG3ZWat26dWG/ROPlKdG+QvO+efNmuN3usNlIYuUw1lfPiXIbT6LxEE19fT22bdsmt8N0dnZC\nq9XKbTKhLReSJMHv98ecbSWVdSJjj5Uv0f3EG9vx1rfb7QnHSzJC99fd3Q2z2Yy6urqwfQLJHQdA\n7GMh9PnghXvJ/BEbGWMy40V0DAJi41/0uI62z2THPZGoGffff//9agdBNJ25XC5s2LAB+/btw4oV\nK7By5Ur5OavVCrfbDbvdjnnz5uGqq67C4cOHsX37djz//PPyY/fddx9+97vfYXR0FFdddRX27t2L\nRx55BAMDAygvL0dZWRkOHToEr9eLuXPn4uTJk3A4HLj66qtx5513Agj0K27fvh0ulwvz5s3DnDlz\nsH37dvT29mLhwoWoqqrCJZdcArfbjZMnT0Kj0eDKK68EEOgfHBoawsDAgNy3+Ytf/ALDw8P4yEc+\ngqKiIqxbtw67d++Gz+fDyZMnMTw8jL179+LQoUNYs2YNioqKcMcdd6CtrQ0+nw8HDx7Ea6+9hocf\nfjgsXzqdDvPmzcP1118f9vi6devkdQ8fPgyv1xtz/tdDhw5hdHQUg4ODOHz4MHp7e+WzgYnyFG9f\nHo8HLS0tcDqdcs6eeuopPProo3LM0XIYXO/gwYOYMWMGrrrqKhQVFSWVW9HxYDAYYp5RtNvtsNls\nuOOOO3Do0CHs27cP27dvx44dO3DJJZdgYGAAhw8fxvDwME6ePIkbb7wRe/fuhdFojDrfbaJ1JElK\nGPvKlSuj5it0bH7qU59Kaj+xxna89aurqzE+Ph51vETGodFoEr6f0tJSeL1emEwm2Gw2PPLII9i3\nbx/mzp0rH0/JHAfxjoWgpUuXQqfToaqqSn4sGPNUx0vomF24cCEMBoO8nXPnzmHVqlXy2AzmPZXx\nH+9YU2rcE6VC48/DP708Hg96enogSRK6u7vR0tIS9cM/lNfrhcPhkCdKb2xsTLrvkCgTHA4H2tvb\n5WmtKDrmidLJ7Xajo6MD27ZtQ3FxMcbGxtDf3w+z2QybzZb02d5kBFtDiEh5edeD7PP50NPTI/ef\nuVwumEwmHD9+PO56DQ0N8pXIRqNxUt8hkdry8G/dlDBPlE4ulwurVq2S26mCszYYjUZFemWD8zWn\n0qtLRMnLuzPIbrcbDQ0NckEsSRJ0Ot2kGx5ErmOxWMLOOOl0Ok4tQ1nD4/GgubkZvb29aGlpCWsX\noPcwT5QJNpsNwHu/JyRJgsFgmNSPnAqXyyX3+IpeEElEycu7AhlA2IwBwSl43nzzzZivt9vt6Ojo\nCDtjXF5eLt/FiIiIiIimj7ycxSL0SmGr1Sr/tR8LzxQTERER5Y+860EOZbPZsH79+oRfey1cuHDS\nzRYii+bKykocO3YM8+fPl6/OnTlzJubPny9PdB7cBpffWz5z5gyWLVuWNfHkwnLwsWyJJ9uXmS/x\n5cjcqR1PLiyfOHGCn/eCy/z85+dZuj6/hoeHAQBnz55FcXExTpw4AVF52WIBBPq4NBpNzGmiQnk8\nHpjN5rDbhUb2IC9btgyvv/56zOl4KLojR47giiuuUDuMnJKNOZOe+9uH08e0KkcyWTbmK9sxZ+Je\nfO5FXIpLs/IYyFYcZ+KYMzF9fX2YmJgIuxV8svLyDHLwVp/B6XbsdjvWrl0LIDCdW+RcipHT8gTn\nuAxVXl6Oc2+fQ8t3W0DJ+9a/fgv3PnCv2mHklGzM2XjFOACgpqtG3UCi+NKXvoQnn3xS7TByCnMm\n7mbNzbDAkpXHQLbiOBPHnImpqamR55cXlXcF8v9v7+7j4qrvfIF/hoRBkvA0wVaJpuFBo24fhmRI\nvCa2YybQrnbbXSMkemtbH8Bk67ZeG4TE7q3tXpuHcbfWdm8JpK2tvc2K0NbdPhlmzLTVPjGZYe12\nGwwMGBWrITCEBMKQMPcPZGTCAPMdzpwzM+fzfr18vTiHOef8+s3p8OXwmd/P5/PBYrGE7SsuLg41\nyPX19TCZTGhoaAh7TVNTE+x2O4qKitDe3h4xt2w0GpF3Rd6M/TS7wmsKWTOhRKzZKEa1HsKsYlnC\nW+9YM7nLcJnWQ0g6vM/kWDP16K5BLioqwsTExKzfb25uDltydEppaWnoSfJsE7Mvy1qmzCB1ZN2G\ndVoPIemwZjJWq1XrISQd1kzODLPWQ0g6vM/kWDO5qZyylC5nsSAiIiKi1McGWSFer3dGBIOI5lbQ\nX4DMjkyth0GkGfMRM6xBq9bDICKF6HYWC6VZrVYMnx3GoV8c0nooRJoYfG0Q6z+wXuthEBERAXgn\nkuJyucTH8gkyEREREdE0bJAVNDw8rPUQks7vX/y91kNIOqyZTCxPDvSONZNjzeRYMznWTD1skImI\niIiIpmEGWSHMIJPeMYNMRESJJCEzyD6fD5WVldi1a5f42KamJmzfvh2tra1xGBkRKa0vvy+0mh6R\nHrkMLrgMLq2HQUQKmbNB7unpQV1dHdLS0mCxWGC320Pf83q9qKqqgslkitgEGwwGrFu3Dnv27EFL\nSwssFgvS0tKwY8cODA0Nhb22sbERaWlp+PCHPwyv14vq6mrU1dXB5/NF/T9k//79Ub82XphBlmOe\nVo41k2FmT441k+tAh9ZDSDq8z+RYM/XMuZJeYWEh9u3bh9bWVmzbtg07d+4Mfa+0tBTNzc2w2+2o\nra2d8yK33XYbysvLkZeXh8rKSuTk5IR9v6amBj6fD3v37o35f0hjYyPy8vJQXV0d8zmIiIiIiFT7\nkF5OTg42b96MhoaGGd/z+/0oKyuL+dx1dXUoKiqCw+FAT0/PQoa5IFlZWZpdO1mt38DMqhRrJsOl\nWeVYMzkuNS3H+0yONVOPqrNY1NXVoaWlZUbE4plnnsGWLVvE53M4HKiqqkJFRQWKiorQ2NiIffv2\nob6+fsY1iIiIiIiioWqDbLPZkJubi8bGxrD9fr8/pvMZDAY0NzfDZrOF9jU0NOC+++7DwMDAgsYa\nC2aQ5ZinlWPNZJjZk2PN5JhBluN9JseaqUf1eZBrampw4MCB0LbT6cTmzZtjOtf0xni6wsJCFBYW\nxnROIpIr6C9AZkem1sMg0oz5iBnWoFXrYRCRQlRvkO+77z74fD50dEz+tu3xeFBaWqr2MOKCGWQ5\n5mnlWDMZZvbkWDM51kyONZNjzdQTVYNcVFSE/v5+RS5YWFgY+rDe0NAQcnNzFTkvEREREZESomqQ\n16xZE3FOYo/HgzVr1ogvet9996GxsRHNzc2oqqoSH5+omEGWY55WjjWTYWZPjjWTY83kWDM51kw9\nUTXIe/fuhcfjmTGF2sUfkIvW1IwVHo9nxpzIRERERERamnOhkOmOHj2Kuro6FBcXIzc3F36/f0EL\nezz00EPYtm1bzMcnImaQ5ZinlWPNZJjZk2PN5FgzOdZMjjVTT9QNck5OTsRFPmK1kOaaiBJLX37f\n5BdBbcdBpBWXwQUAnMmCKEWoPotFKmMGWY55WjnWTIaZPTnWTI7zIMvxPpNjzdSTsA1yMCh7FMXZ\nMIiIiIhICXFtkNvb27Fjxw7xcU1NTdi/fz+Ki4ujPmbv3r2af+CPGWQ55mnlWDMZZvbkWDM5M8xa\nDyHp8D6TY83UE3UGWaqwsBDNzc0xHVtdXY3q6mqFR0RERERENL+EjVgkI2aQ5ZinlWPNZJjZk2PN\n5JhBluN9JseaqYcNMhEtWEF/ATI7MrUeBpFmzEfMnMGCKIUYgtJPw1FEVqsVw2eHcegXh7QeCpEm\nBl8bxPoPMB9NRESJYSqzHcuTdz5BJiIiIiKahg2ygphBlmOeVo41k2FmT441k2PN5FgzOdZMPWyQ\niYiIiIimYQZZIcwgk94xg0xERIlkIRnkuM2DTET60ZffN/kFf90mnXIZXADAmSyIUgQjFgpiBlmO\neVo51kyGmT051kyO8yDL8T6TY83UwwaZiIiIiGgaNsgKysrK0noISWf9BmZWpVgzmakMGkWPNZMz\nw6z1EJIO7zM51kw9bJCJiIiIiKZhg6wgZpDlmKeVY81kmNmTY83kmEGW430mx5qpR7cNcnl5edSv\nraurQ1paGkwmEywWC7xebxxHRpR8CvoLkNmRqfUwiDRjPmLmDBZEKUR307w5nU50d3fD6XRGfUxJ\nSQkmJibmfR0zyHLM08qxZjLM7MmxZnKsmRxrJseaqUd3T5BtNhtqamq0HgYRERERJSjdNcixam1t\nhdPpRH19PYaGhiK+hhlkOeZp5VgzGWb25FgzOdZMjjWTY83Uo7uIRSwsFgtKS0sBACaTCTabDW63\nW+NREREREVE8sEGOwlRzPPW1x+PB6dOnkZ2dHfa60ZFR1N9fjxUrVwAAsrKzcO37rg1lRqee/HE7\nfHtKooyH27Fte9wejA6OhjJyU086uJ1821arNaHGkwzbU/sSZTzJsj0lUcbD7eTfdrlcePLJJwEA\nvb29yM3NRSwMwWAwGNORSS4tLS2qD955PB7U1NSEPTGOdKzVasXw2WEc+sUhxcdKlOj68vsAgJ/i\nJ91yGVwA+P8BokQy2y9k0WAGeRqfzzdjX3FxMXbt2hXadjgcqKysjHg8M8hyzNPKsWYysbwx6h1r\nJsd5kOV4n8mxZurRXcTC6/Wira0NBoMB9fX1KC8vh81mAwDU19fDZDKhoaEh9PqcnBzk5uaiqakJ\nANDd3R36moiIiIhSj24jFrNxOp2hhlmCEQvSM0YsSO8YsSBKPIxYEBEREREphA3yNF6vFxaLJebj\nmUGWY55WjjWTYWZPjjWTYwZZjveZHGumHjbI05SWliInJ0frYRAlnYL+AmR2ZGo9DCLNmI+YGa8g\nSiHMICuEGWTSu8HXBrH+A+u1HgYREREAZpCJiIiIiBTDBllBzCDLMU8rx5rJMLMnx5rJsWZyrJkc\na6YeNshERERERNMwg6wQZpBJ75hBJiKiRLKQDLLuVtIjIuVNLRQC/rpNOsWFQohSCyMWCmIGWY55\nWjnWTIaZPTnWTI7zIMvxPpNjzdTDBpmIiIiIaBo2yArKysrSeghJZ/0GZlalWDOZqQwaRY81kzPD\nrPUQkg7vMznWTD1skImIiIiIpmGDrCBmkOWYp5VjzWSY2ZNjzeSYQZbjfSbHmqmHDTIRLVhBfwEy\nOzK1HgaRZsxHzJzBgiiFcB5khXAeZNI7zoNMRESJZCHzIPMJMhERERHRNGyQFcQMshzztHKsmQwz\ne3KsmRxrJseaybFm6mGDTEREREQ0DTPICmEGWT3uwy60Nz0FYyCAgNGIsuo7Yamwaj0s3WMGmYiI\nEslCMsiLlR0KUXy5D7vgffhRfLXnRGhfbe/k12yStdOX3zf5BX/dJp1yGVwAwJksiFIEIxYKYgZZ\nTpqnbW96CvZpzTEA2HtOwH3w+0oOK6ExgyzDzJ4caybHeZDleJ/JsWbqYYNMScUYCETcnz42pvJI\niIiIKFWxQVZQVlaW1kNIOus3yDKrAaMx4v7xjAwlhpMUpDXTu6kMGkWPNZMzw6z1EJIO7zM51kw9\nbJApqZRV34nawpVh+x667F2w3PsJjUZEREREqYYNsoKYQZaT5mktFVbc8NEKfCEjA3VlpXjoutWo\nyMyEZfMH4zTCxMMMsgwze3KsmRwzyHK8z+RYM/VwFgtKKhkdf8Tf/KAVpc81I/Dea4CJCaysqMTg\nj36G4S0f1Xp4ulXQX4DB1wa1HgaRZsxHzPzzN1EK4TzICuE8yPG36C9vYmVFFU7u+QLO3FIe2p/5\n4h9w2f316P3tzxG8RD9Z5ETDeZCJiCiRLGQeZEYsKCkYRs+h4M7PYOjT28KaYwAY3bAOY3+1Grnf\n0s9Ub0RERBQ/bJAVxAyyXFR52mAQ737gCxgvXImB/7U94ktOfrEWeU80IW3Qr/AIEw8zyDLM7Mmx\nZnKsmRxrJseaqYcNMiW8vCeaYOzuwZtf+wpgMER8zfhVRTjzNx/B8n/5psqjIyIiolTDDLJCmEGO\nj6U/d+JdD30Jrx5+Bucvf/ecr130Vj9WbbwFJ557BuMXTQVH8ccMMhERJRJmkCklGf/UiXc/8DDe\n+O435m2OAeDCu/IxeN+nkP/ov6gwOpquL78Po+ZRrYdBpBmXwQWXwaX1MIhIIWyQFcQMstxsedpF\n/QNYcecOnPzKF3BuzfujPt/gjrtwye89uOTofyo1xITDDLIMM3tyrJkc50GW430mx5qphw0yJZ5A\nAJff9Q84fdvHxHMbB5dk4lT9Z5H/xX0A00NEREQUAzbICsrKytJ6CEln/YaLMqvBIN790JdwIS8X\np+o/G9M5T2/7Oyw6PYxlP3MoMMLEM6NmNCcu3iDHmsmZYdZ6CEmH95kca6Ye3TbI5eXl87/obT6f\nD3a7HU6nE3a7HUNDQ3Ecmb7lNn4Pl3j/iL/83/1AWoy356JFOPnIQ8j/8mPA+LiyAyQiIqKUp7sG\n2el0orGxEU6nM+pjqqqqUFtbC5vNhpqaGlRXV0d8HTPIctPztEue/zVMTzTh9e9/E8FlSxd03pFN\nN2L8yhXI+V7zQoeYcJhBlmFmT441k2MGWY73mRxrpp7FWg9AbTabDTabDdu3R15w4mIejwcmkym0\nnZOTA4cjNf90ryb3YRfam57CX072w3NpPv7HLZtx694n0PfkN3D+yhWKXOPkIw/hiqp7MFz5MUxk\nJ3/85eKalVXfCUuFVethAQAK+gsw+Nqg1sMg0oz5iJl//iZKIbprkKV8Ph9yc3PD9plMJnR0dMBs\nDs+cMYMcHfdhF7wPP4qv9pwI7dv969/BePftuO76tYpdJ/Dea3B2043Ie6IJp77woCLnnGpSjYEA\nAkajak1qpJrV9k5+nShNcqJi0yLHmsmxZnKsmRxrph42yPMYGBjQeggpp73pqbBGDwC+cv48Huzq\nxXUKX+vU7gfwng99HEN33Y7zKy5f0Lm0bFIj1czecwIPHvw+G2QiIiKFsUGex/Lly+H3+8P2zdY0\nv/rKq6i/vx4rVk5GBLKys3Dt+64NzTowlR3V+7YxEAAAuAB0AHjg7fq98dZJ/P7F3yt+vZxPb8Py\nPV/Dv9/+dws634/2fwOfmdakugDc0nMC//52kxrP+hkDAbjwDuvb13/jrZOhfVr/+3rcHowOjs5Y\nuUjr7al9iTKeZNi+uHZajycZth9//HGYzeaEGU8ybHd0dOCBBx5ImPEkw/bUvkQZTyJuu1wuPPnk\nkwCA3t7eGSmAaOl2qem0tDRMTEzM+zqv14vq6mq43e7QPpPJNKNJtlqt6PtLH37y4k8UH2uq+Wbl\nPfjqkRcATDZ51rf3P7jpRmxvPqj49dKGz2DV+g/j9acPYux918Z8nm99/E7se/EPM/bXbViHe559\naiFDnJfaNYtFoi417XK5Qm+iFB3WTI41k2PN5FgzmUi/YEQrTdmhJDefzzdjX2lp6YzXzDZFHDPI\n0SmrvhO1hSsBvNPo7Vy1EpZ7PxGX601kLcOpz/898h/Zv6DFQwKLI//BZTwjI+ZzRqus+k7UrroS\ngDo1SyX8YSLHmsmxZnKsmRxrph7dRSy8Xi/a2tpgMBhQX1+P8vJy2Gw2AEB9fT1MJhMaGhrCjmlq\naoLdbkdRURHa29vR1NSkxdBTxlRmtvaxf0XmcR/OlJXCcu8n4pqlHfpkFfIan8KS53+NEdsHZQcH\ng1j2H8/ho53HseuSS7Dn3LnQtx56V74qTaqlwoqlbS7s/vHPcOGaq5Du7sC6+++GOUHyx335fZNf\n6PLvUUSAy+ACAFiDVk3HQUTK0G3EYjZOpzPUMEswYiGX8+QhuJ87gqsONapyvWU/bcPyvU/gFdeP\ngUWLojom8zftyP+SHYZAAP1frMWvAuNwH/w+0sfGMHHmLD7y5lu40vM8YDTGdeyGM2dQuP4jeP1Q\nI341PIybj7yItHPncPL/7I7rdaM11SAnYnPAP0nKsWZyjxsehxnmhPz/QKLifSbHmskwYkFJydjZ\njcAVysx5HI0zN2/GhZwsZP/bj+Z9rfHYcRTcsR2X3V8Hf/UncML5Q4xYN8BSYcX25oO459mnUO38\nIa5/77XI/dYP4j5209cPYuRDN2Ds/ZPzfAx9aiuyn34WhrMjcb82ERGR3rBBnsbr9cJiscR8PDPI\nMsbOLpT99Sb1Lmgw4Gc3b8bXax/Btz56B75ZeQ/ch11hL1n8xpt49wMP44q//SRGNq5H729/geHb\nPjbrstcnv1wP0+MNSDsVv0UyFr/xJnK/fQj9uyc/7b1+w3qcv3IFRtetQdaPfha366YKPm2RY83k\nzDDP/yIKw/tMjjVTj+4yyHO5+AN5FF8ZnV0IrC5R7Xruwy54v3MI9sA48LujAN6Zx3jd9WuR90QT\ncr/7NIburETv75/DRE72vOcMXF2M4Vs/ivx9T+Ct/V+My7iX7/kahj5ZhfNXFITt9999O/K/8jhO\n/88tgMEQl2sTERHpEZ8gK2h4eFjrISSNtEE/DGdH8OJFi1/EU3vTU7BHWGzjP7+4D6vWfxiL3zyJ\nV1w/Rv//3hlVczzlVO1nsOzffwHjn19Wesgw/qkTS9tcGPhcTWjf1PzDIzdtRNrQaVzi/aPiWqxn\noQAAHqRJREFU100lsWTP9I41k+tAh9ZDSDq8z+RYM/WwQSZNGF/unnx6rOKDz6kFSmbs7z+F11q/\ngze/viem1fYmTHkYeHAHLv3HvQuaRi6SS79kx8CDOzCRHSG+k5aGobtuR86345+Bnk9BfwEyOzK1\nHgaRZsxH+AE9olTCBllBzCBHL+PYZLxiahU2NQRmmWnibOn7Ebhu9YLO7b/rdqS/1oelbb9c0Hmm\nW3LkBaS/8ir8n9oatn96zYZuvxXLfu5E2kD8MtDJjpk9OdZMjjWTY83kWDP1sEEmTRhf7kJgdbGq\n15y+QMkUxRbbSE/HW/+0a/Ip8vj4ws934QIufWQ/+v/x83NOITdhysOZv7Yh59APF35NIiIiAsAG\nWVHMIEfP2NmNsdVXhfK0arBUWFH66MN4cNONqNuwDg9uuhFrvvKwYguUjGz+IMbfcwVyFYg8ZDc/\ni4llS3HmlpmrNl5cs6G7bkfOdw4BUSydrkfM7MmxZnKsmRxrJseaqYezWJAmjMeOTz5BPvGaqte1\nVFjjt2KfwYCTX67DFR+/E6crP4YJU15spxkZxfI9X8Mb33o8qtkpzq15PyZysrHkyAvyVQKJiIho\nBj5BVhAzyNFJGzqNRcNncX7F5apmkNUQuOYqDP/tzVi+7+sxnyPvwHdxrsyMc2WRpx2cUTODAf67\n7kDutw/FfM1UxsyeHGsmx5rJsWZyrJl62CCT6oydXRi7umjWxTeS3amH/gFZP/4ZjMeOi49ddPIU\n8r75HfR/4fOi44ZvvQWZf/BgscpP5Kf05fdh1DyqybWJEoHL4ILL4NJ6GESkkNTsUDTCDHJ0jJ3d\noQVC1Mwgq2VieezTvi23fwOnKz+G8Ys+TDhdpJoFl2Ti9NaPI+d7zeLxpjpm9uRYMznOgyzH+0yO\nNVMPG2RSXYYGM1iozX/3HUh/9XUscfwq6mPSu3xY9uzPcerzfx/bNT+9DTn/rwWGscjzPRMREVF0\n2CAriBnk6BiPdSGw+ioAEfK0qSI9HSe/XI93/eOeqKd9y//yP2Pw/nvm/XDfbDUbLynC2HWrsewn\nz4mHm8qY2ZNjzeTMMGs9hKTD+0yONVMPG2RSnbGzC2NvRyxS2dnyD2H8yhXI/c78H57L/K0bl/zx\nz/BXf3JB1xy6+47JKd+IiIgoZmyQFcQM8vzShs9gkX8I568sAJCaGeQQgwEn/6kepn/55twr3QWD\nyH9kP/offgDBSzLmPe1cNTvz4ZuQ/sprMP6pM5YRpyRm9uRYMzlmkOV4n8mxZuphg0yqMnZ2IXBV\nccrOYHGxwDVX4czHPoLl9n+d9TXLnv0FDOfPY/jWjy78gosXY+iTW6N6aq2kgv4CZHZkqnpNokRi\nPmKGNWjVehhEpBB9dCkqYQZ5fsbO8A/opWwGeZr+us8i64c/gfHl7hnfM4wFkP9Pj+Hklx6K+peG\n+Wo2dOdtyPrRT5E2fCam8aYaZvbkWDM51kyONZNjzdTDBplUZezsxtg1V2k9DFVNLM/DwAPbcen/\n3jvjeznf/gECq6/C6MbrFbvehcvejRHrDchqflaxcxIREekJG2QFMYM8v4zO42FPkFM6gzyN/547\nkN5zImzatzT/EExfO4D+L+4UnSuamvnvvgO53/6BeB7mVMTMnhxrJseaybFmcqyZehZrPQDSF2Nn\nNwJXp/4MFjMYjfjJ390M992fxYUPvBeBSzKweUkm8m8uDy2aoqTRG9YBwSAyf9OO0Q3rFD8/ERFR\nKmODrCBmkOdmOHMGiwYGMb5yRWifHjLIAOA+7IK35Sewj4wCv20HADycZsCZb+xFqfBcUdXMYMDQ\n3Xcg9zs/0H2DzMyeHGsmx5rJsWZyrJl6GLEg1WS87EOgpBBYtEjroaiuvekp2HtPhO17dCKI37f8\nJG7XPF31cSw58iIW/eWtuF1jSl9+H0bNo3G/DlGichlccBlcWg+DiBTCBllBzCDPzdjZhcDV4UtM\n6yWDbAxEXv45fWxMfK5oazaRnYXhv70ZOd9vEV8jlTCzJ8eayXEeZDneZ3KsmXrYIJNqjMe6dDeD\nxZSA0Rhx/3jG/AuDLIT/rtuR872ngfPn43odIiKiVMIGWUHMIM/N+HLXjA+k6SWDXFZ9J2oLV4bt\n27lqJSz3fkJ8LknNAu+9BuevKMDSwy7xdVIFM3tyrJmcGWath5B0eJ/JsWbq4Yf0SDUZESIWemGp\nsAIAHjz4faSPjWE8IwOWez8R2h9P/rtvR+63f4CzN2+O+7WIiIhSAZ8gK4gZ5NkZzpzFopOnML7q\nyrD9eskgA5NN8vbmg7jn2aewvflgzM2xtGZn/uYjyPjTMaR39cR0vWTHzJ4caybHDLIc7zM51kw9\nbJBJFcYuHwLFq3Q5g4XWghlGnL5jC3K/+29xu0ZBfwEyOzLjdn6iRGc+YoY1aNV6GESkEEYsFMQM\n8uxmWyBELxlkJcVSs7ai9+Clz38R573/hUDmJSirvlOVeEciYGZPjjWTY83kWDM51kw9bJBJFRnH\njiNwjQ5X0EsA7sMueB8/APv588Dv3ACA2rfnZNZLk0xERCTBiIWCmEGenbGzO+KSynrKICtFWrP2\npqdg7wlfpMTecwLug99XclgJi5k9OdZMjjWTY83kWDP1sEEmVRg7j2MsQoNM8afkIiVERER6wAZZ\nQcwgR2Y4O4LFb56cMYMFwAxyLKQ102qRkkTBzJ4caybHmsmxZnKsmXrYIFPcGbt6MF70HmAxI+9a\nUHKRktn05fdh1Dyq2PmIko3L4ILL4NJ6GESkEDbICmIGOTJj5+xLTDODLCetmaXCitJHH8aDm25E\n3Q1l+MLixSjb+fe6+YAeM3tyrJkc50GW430mx5qph4/0KO4mV9Bj/lhLlgprqCG+/N4HcHZiAqe1\nHRIREVHC0uUTZJ/PB7vdDqfTCbvdjqGhoXmPqaurQ1paGkwmEywWC7xe74zXMIMcmbGzC4HVkZeY\nZgZZbqE1O2vdiCVHXlBoNImPmT051kzODLPWQ0g6vM/kWDP16PIJclVVFdzuyflgLRYLqqur0dzc\nPOcxJSUlmJiYUGN4KWeuiAWpb+SmDbj0y3bgwgWubEhERBSB7p4gezwemEym0HZOTg4cDoci52YG\neSbD6DksfuPNiDNYAMwgx2KhNTu/4nKcz1+OjJf+W6ERJTZm9uRYMzlmkOV4n8mxZurRXYPs8/mQ\nm5sbts9kMqGjY/43t9bWVjidTtTX10cVy6C3Z7BYtRJIT9d6KDTNyKaNWPr8rxU7X0F/ATI7MhU7\nH1GyMR8xwxq0aj0MIlKI7iIWAwMDMR1nsVhQWloKYLKhttlsoZjGlNGRUdTfX48VK1cAALKys3Dt\n+64NZUannvzpaXvJL3+DireXmJ7t9VMSYbx62T5700b815cew8nr1yp2fo/bg9HB0VBGbupJB7eT\nb9tqtSbUeJJhe2pfoownWbanJMp4uJ382y6XC08++SQAoLe3d8ZD0WgZgsFgMKYjk1RraysOHDiA\nw4cPh/aZTCY8//zzMJuj/5BFWloa/H4/srOzAUz+owyfHcahXxxSfMzJbPmjX0UwPR0DD92v9VBo\nGsPIKIqv3QDff/0KE1nLFDnn4GuDWP8BfuiSiIgSw2y/kEVDdxGLoqKiiE+R52qOPR4PLBbLjP1T\nzfEUZpBnyjh2fNYZLABmkGOhRM2CSzIxavkAMn/9OwVGlNhieWPUO9ZMjjWTY83kWDP16K5BnopJ\nTPH5fCgvLw/bvlhxcTF27doV2nY4HKisrIzfIFOI8eVuBDiDRUIa2bQRS3U03RsREVG0dBexAACv\n1wuHw4GioiK0t7dj9+7doafBVVVVMJlMaGhoCDvG6XSGmufu7u6wYwBGLCIxnBtDcUkZunxuwGjU\nejh0EeOfOlHwqc+g163MLC6MWBARUSJZSMRCdx/SAyafIk89Sd6yZUvY95qbm+F0OmccY7PZYLPZ\nVBlfqkjv6sH4e65kc5ygAtddjbTRc0jvOYHxwpULOldfft/kF7r7dZtoksvgAgDOZEGUInQXsYgn\nZpDDZXR2IbB67iWmmUGWU6xmBgPOWjek/Kp6zOzJsWZynAdZjveZHGumHjbIF/F6vRE/kEdyxpdn\nX2KaEoPS8yETERGlAjbIFyktLUVOTk5Mx2ZlZSk8muRmPNaFsdVzf0Bvag5dip6SNRv50AZkvvgH\nYHxcsXMmmunz1FJ0WDM5M6KfJpQm8T6TY83UwwaZ4mYyYsEnyInsQr4J40XvQWY7/zxMREQ0hQ2y\ngphBfodhLIDFr76O8aJVc76OGWQ5pWt29qaNWOJ6UdFzJhJm9uRYMzlmkOV4n8mxZuphg0xxkd7d\ng/GVVyCYwRksEt3ITRsWnEMu6C9AZkemQiMiSj7mI2bOYEGUQtggK4gZ5HcYO7vnncECYAY5FkrX\nbLSsFOndvUg7NajoeRMFM3tyrJkcaybHmsmxZuphg0xxkdE59xLTlECMRozesA5Lf/kbrUdCRESU\nENggK4gZ5HdMPkGef4lpZpDl4lGzkZtSdz5kZvbkWDM51kyONZNjzdTDBpniwtjZhbEoIhaUGM7e\ntHGyQdbfyvNEREQzsEFWEDPIbwsEkP7KqxgvXjXvS5lBlotHzcaL3oNghhHGY8cVP7fWmNmTY83k\nWDM51kyONVMPG2RSnNH3Cs5fsQLBSzK0HgpFy2DAiHUjlj4fW8yiL78Po+ZRhQdFlDxcBhdcBpfW\nwyAihbBBVhAzyJMm4xXRfUCPGWS5eNVsZFNqzofMzJ4caybHeZDleJ/JsWbqYYNMisvo7ELgmvk/\noEeJZeTG65H5By8Mo+e0HgoREZGm2CAriBnkSUbBEtPMIMvFq2YT2VkYe+9qZP62PS7n1woze3Ks\nmZwZZq2HkHR4n8mxZuphg0yKM3Z2I3A1Z7BIRmdvujElYxZEREQSbJAVxAwygPFxpPeeQKCkMKqX\nM4MsF8+aTS47nVrzITOzJ8eayTGDLMf7TI41Uw8bZFKUsecEzhdchmDmJVoPhWJwzvxeLH7zJBa/\n8abouIL+AmR2ZMZpVESJz3zEDGvQqvUwiEghbJAVxAwyYDx2HIGro19imhlkubjWbNEijHzw+pRa\nVY+ZPTnWTI41k2PN5Fgz9bBBJkUZO7sxxhksktrZm25MqQaZiIhIig2ygphBBowvdyEgWGKaGWS5\neNds5KYNWPrL3wAXLsT1OmphZk+ONZNjzeRYMznWTD1skElRGce6RBELSjznV1yO8/nLkfHSf2s9\nFCIiIk2wQVaQ7jPI588jvecVBK4qivoQZpDl1KjZyKaNWJoiMQtm9uRYMznWTI41k2PN1MMGmRST\n3nsC5y97F4JLOJtBsjtr3SjKIffl92HUPBrHERElNpfBBZfBpfUwiEghbJAVpPcM8mS8QrZACDPI\ncmrUbPSGMlzy0p+RNnwm7teKN2b25FgzOc6DLMf7TI41Uw8bZFKMsbMLgWu4gl4qCC7JxKjlA8h8\ngb/AEBGR/rBBVpDeM8jGzm6MCWawAJhBjoVaNZtcVe/XqlwrnpjZk2PN5Mwwaz2EpMP7TI41Uw8b\nZFJMRudx0RRvlNg4HzIREekVG2QF6TqDfP480rt7RTNYAMwgx0KtmgWuuxppo+eQ3nNClevFCzN7\ncqyZHDPIcrzP5Fgz9bBBJkWk976KC+/KR3DpEq2HQkoxGHDWuiGqp8gF/QXI7ODsJaRf5iNmWINW\nrYdBRAphg6wgPWeQjS/HtsQ0M8hyatYsFeZDZmZPjjWTY83kWDM51kw9bJBJERmd8ineKPGNfPAG\nZL74B2B8XOuhEBERqYYNsoL0nEE2HutCYLV8iWlmkOXUrNmFS5djvHAlMtuTN1/JzJ4caybHmsmx\nZnKsmXrYIJMijC93xRSxoMR39qaNWOJ6UethEBERqYYNsoJ0m0G+cAHGrh4ErioUH8oMspzaNUv2\n+ZCZ2ZNjzeRYMznWTI41U89irQdAyS/9lddwYbkJwWXLtB4KxcFoWSnSu3qQdmoQE8vzIr6mL79v\n8ougigMjSiAugwsAOJMFUYrQ5RNkn88Hu90Op9MJu92OoaEhRY7RawbZ+HLsS0w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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "fmin=5.\n", "Tmin=1./fmin\n", "# časová osa\n", "t = arange(0,length,1./fs)\n", "u = 1*sin(2*pi*5*t)+1.2*sin(2*pi*6*t)+0.9*cos(2*pi*7*t)+\\\n", " 0.99*cos(2*pi*8*t)+0.7*cos(2*pi*9*t)+1*cos(2*pi*10*t)+\\\n", " 0.6*cos(2*pi*11*t)+0.8*cos(2*pi*12*t)+0.6*cos(2*pi*13*t)+\\\n", " 0.55*cos(2*pi*14*t)+0.45*cos(2*pi*15*t)+0.35*cos(2*pi*16*t)\n", "p = 1*sin(2*pi*5*t)+1.2*sin(2*pi*6*t)+0.9*cos(2*pi*7*t)+\\\n", " 0.99*cos(2*pi*8*t)+0.7*cos(2*pi*9*t)+1*cos(2*pi*10*t)+\\\n", " 0.6*cos(2*pi*11*t)\n", "\n", "\n", "## Spektrum\n", "P= fft(p)\n", "absP =2./len(u)/sirka * numpy.abs(P)[:len(P)/2]\n", "\n", "Svz= fft(u)\n", "absSvz =2./len(uvz)/sirka * numpy.abs(Svz)[:len(Svz)/2]\n", "\n", "\n", "fig=figure()\n", "subplot(211)\n", "title(ur'Amplitudové spektrum před antialiasingovým filtrem')\n", "plot(f,absSvz,'b.-',label=u'navzorkovaný signál' )\n", "xlabel(r'f\\,[Hz] $\\rightarrow$', x=0.9)\n", "ylabel('$\\mathrm U$\\,[V] $\\uparrow$', y=0.9, rotation=0)\n", "ylim([0,2*max(absCk)]);\n", "xlim([0,40])\n", "grid(1)\n", "#legend()\n", "axvline(12.5, linestyle='--', linewidth=2, color='m')\n", "axvline(25, linestyle='--', linewidth=2, color='m')\n", "axvspan(0, 12.5, facecolor='g', alpha=0.15, ymin=0, ymax=.99)\n", "\n", "subplot(212)\n", "title(ur'Amplitudové spektrum za antialiasingovým filtrem')\n", "plot(f,absP,'ro-', label=u'původní signál')\n", "xlabel(r'f\\,[Hz] $\\rightarrow$', x=0.9)\n", "ylabel('$\\mathrm U$\\,[V] $\\uparrow$', y=0.9, rotation=0)\n", "ylim([0,2*max(absCk)]);\n", "xlim([0,40])\n", "grid(1)\n", "#legend()\n", "\n", "axvline(12.5, linestyle='--', linewidth=2, color='m')\n", "axvline(25, linestyle='--', linewidth=2, color='m')\n", "#axvline(37.5, linestyle='--', linewidth=2, color='m')\n", "#axvline(50, linestyle='--', linewidth=2, color='m')\n", "text(12,-0.31 , r'${1\\over 2}f_\\mathrm{s}$', size=16)\n", "text(25,-0.31 , r'$f_\\mathrm{s}$', size=16)\n", "#figtext(0,1 , '$\\mathrm f_m$', size=16)\n", "\n", "axvspan(0, 12.5, facecolor='g', alpha=0.15, ymin=0, ymax=.99)\n", "\n", "tight_layout()" ] } ], "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 }