{ "metadata": { "name": "", "signature": "sha256:8c2c6df99a186bace68bcf43dcd5df18f10e436c511b2f461b42c09621fbd709" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "code", "collapsed": false, "input": [ "%pylab inline" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] } ], "prompt_number": 1 }, { "cell_type": "code", "collapsed": false, "input": [ "from __future__ import division\n", "from deltasigma import *" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "markdown", "metadata": {}, "source": [ "NTF synthesis - demo #1\n", "=======================\n", "\n", "Demonstration of the **`synthesizeNTF`** function, as done in the **MATLAB Delta Sigma Toolbox**, employing its Python port **`deltasigma`**.\n", "\n", "\n", "\n", " * The **Noise Transfer Function** (NTF) is synthesized for a **5th-order**, **low-pass** modulator.\n", "\n", " * The first section deals with an **NTF without optimized zeros** (`opt=0`), \n", " * while the second section with an **NTF *with optimized* zeros** (`opt=1`). \n", " * Finally the two transfer functions are compared.\n", "\n", " * Then we move on to the synthesis of an **8th-order band-pass modulator** with optimized zeros." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "5th-order modulator\n", "-------------------\n", "\n", "General parameters:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "order = 5\n", "OSR = 32" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 5th-order modulator: NTF without zeros optimization\n", "\n", "The synthesis of an NTF can be performed with the `synthesizeNTF(order, OSR, opt)`.\n", "\n", "We intentionally disable the zeros optimization, setting `opt=0`." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Synthesize!\n", "H0 = synthesizeNTF(order, OSR, opt=0)\n", "# 1. Plot the singularities.\n", "subplot(121)\n", "plotPZ(H0, markersize=5)\n", "title('NTF Poles and Zeros')\n", "f = np.concatenate((np.linspace(0, 0.75/OSR, 100), np.linspace(0.75/OSR, 0.5, 100)))\n", "z = np.exp(2j*np.pi*f)\n", "magH0 = dbv(evalTF(H0, z))\n", "# 2. Plot the magnitude responses.\n", "subplot(222)\n", "plot(f, magH0)\n", "figureMagic([0, 0.5], 0.05, None, [-100, 10], 10, None, (16, 8))\n", "xlabel('Normalized frequency ($1\\\\rightarrow f_s)$')\n", "ylabel('dB')\n", "title('NTF Magnitude Response')\n", "# 3. Plot the magnitude responses in the signal band.\n", "subplot(224)\n", "fstart = 0.01\n", "f = np.linspace(fstart, 1.2, 200)/(2*OSR)\n", "z = np.exp(2j*np.pi*f)\n", "magH0 = dbv(evalTF(H0, z))\n", "semilogx(f*2*OSR, magH0)\n", "axis([fstart, 1.2, -100,- 30])\n", "grid(True)\n", "sigma_H0 = dbv(rmsGain(H0, 0, 0.5/OSR))\n", "#semilogx([fstart, 1], sigma_H0*np.array([1, 1]))\n", "semilogx([fstart, 1], sigma_H0*np.array([1, 1]),'-o')\n", "text(0.15, sigma_H0 + 5, 'rms gain = %5.0fdB' % sigma_H0)\n", "xlabel('Normalized frequency ($1\\\\rightarrow f_B$)')\n", "ylabel('dB')\n", "tight_layout()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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1zhIfH0/Tpk1LvBYREcHEiRPp06cPtWrVYubMmcUaH3fu3JmHHnqIq6++msaNG3PFFVcA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\nTN8PDQ3N8hg7duzIf7AiIiLiK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"text": [ "" ] } ], "prompt_number": 4 }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 5th-order modulator: NTF *with* zeros optimization\n", "\n", "This time we enable the zeros optimization, setting `opt=1` when calling synthesizeNTF(), then replot the NTF as above." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Synthesize again!\n", "H0 = None\n", "H1 = synthesizeNTF(order, OSR, opt=1)\n", "# 1. Plot the singularities.\n", "subplot(121)\n", "plotPZ(H1, markersize=5)\n", "title('NTF Poles and Zeros')\n", "f = np.concatenate((np.linspace(0, 0.75/OSR, 100), np.linspace(0.75/OSR, 0.5, 100)))\n", "z = np.exp(2j*np.pi*f)\n", "magH1 = dbv(evalTF(H1, z))\n", "# 2. Plot the magnitude responses.\n", "subplot(222)\n", "plot(f, magH1)\n", "figureMagic([0, 0.5], 0.05, None, [-100, 10], 10, None, (16, 8))\n", "xlabel('Normalized frequency ($1\\\\rightarrow f_s)$')\n", "ylabel('dB')\n", "title('NTF Magnitude Response')\n", "# 3. Plot the magnitude responses in the signal band.\n", "subplot(224)\n", "fstart = 0.01\n", "f = np.linspace(fstart, 1.2, 200)/(2*OSR)\n", "z = np.exp(2j*np.pi*f)\n", "magH1 = dbv(evalTF(H1, z))\n", "semilogx(f*2*OSR, magH1)\n", "axis([fstart, 1.2, -100,- 30])\n", "grid(True)\n", "sigma_H1 = dbv(rmsGain(H1, 0, 0.5/OSR))\n", "#semilogx([fstart, 1], sigma_H1*np.array([1, 1]))\n", "semilogx([fstart, 1], sigma_H1*np.array([1, 1]),'-o')\n", "text(0.15, sigma_H1 + 5, 'RMS gain = %5.0fdB' % sigma_H1)\n", "xlabel('Normalized frequency ($1\\\\rightarrow f_B$)')\n", "ylabel('dB')\n", "tight_layout()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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S6LWwsDAmTpxI3759qV69OjNmzCiw8HHXrl154IEHuOKKK2jUqBGXXHIJAOXLly8yntO3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MREWrRoQW5uLnfffXep+/v168eKFSuYN28eN58xzzc5OZlt27Zx0003kZ6ezmWXXcaJEydKPWbN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\nIOIAAAAAFEDEAQAAACjAD9rRtXVpQff6AAAAAElFTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 5 }, { "cell_type": "markdown", "metadata": {}, "source": [ "5th-order modulator: comparison\n", "-------------------------------\n", "\n", "Overlayed plots follow to ease comparison of the two synthetization approaches." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Synthesize!\n", "H0 = synthesizeNTF(order, OSR, opt=0)\n", "H1 = synthesizeNTF(order, OSR, opt=1)\n", "# 1. Plot the singularities.\n", "subplot(121)\n", "# we plot the singularities of the optimized NTF in light \n", "# green with slightly bigger markers so that we can better\n", "# distinguish the two NTF's when overlayed.\n", "plotPZ(H1, markersize=7, color='#90EE90')\n", "hold(True)\n", "plotPZ(H0, markersize=5)\n", "title('NTF Poles and Zeros')\n", "f = np.concatenate((np.linspace(0, 0.75/OSR, 100), np.linspace(0.75/OSR, 0.5, 100)))\n", "z = np.exp(2j*np.pi*f)\n", "magH0 = dbv(evalTF(H0, z))\n", "magH1 = dbv(evalTF(H1, z))\n", "# 2. Plot the magnitude responses.\n", "subplot(222)\n", "plot(f, magH0, label='All zeros in z=1')\n", "hold(True)\n", "plot(f, magH1, label='Optimized zeros')\n", "figureMagic([0, 0.5], 0.05, None, [-100, 10], 10, None, (16, 8))\n", "xlabel('Normalized frequency ($1\\\\rightarrow f_s)$')\n", "ylabel('dB')\n", "legend(loc=4)\n", "title('NTF Magnitude Response')\n", "# 3. Plot the magnitude responses in the signal band.\n", "subplot(224)\n", "fstart = 0.01\n", "f = np.linspace(fstart, 1.2, 200)/(2*OSR)\n", "z = np.exp(2j*np.pi*f)\n", "magH0 = dbv(evalTF(H0, z))\n", "magH1 = dbv(evalTF(H1, z))\n", "semilogx(f*2*OSR, magH0, label='All zeros in z=1')\n", "hold(True)\n", "semilogx(f*2*OSR, magH1, label='Optimized zeros')\n", "axis([fstart, 1.2, -100,- 30])\n", "grid(True)\n", "sigma_H0 = dbv(rmsGain(H0, 0, 0.5/OSR))\n", "sigma_H1 = dbv(rmsGain(H1, 0, 0.5/OSR))\n", "#semilogx([fstart, 1], sigma_H0*np.array([1, 1]))\n", "plot([fstart, 1], sigma_H0*np.array([1, 1]), 'o-')\n", "text(0.15, sigma_H0 + 5, 'RMS gain = %5.0fdB' % sigma_H0)\n", "#semilogx([fstart, 1], sigma_H1*np.array([1, 1]))\n", "plot([fstart, 1], sigma_H1*np.array([1, 1]), 'o-')\n", "text(0.15, sigma_H1 + 5, 'RMS gain = %5.0fdB' % sigma_H1)\n", "xlabel('Normalized frequency ($1\\\\rightarrow f_B$)')\n", "ylabel('dB')\n", "legend(loc=4)\n", "tight_layout()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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ZmSmPmbKA8jg7M+XRTBwRF7br8N+MW7iIZdE/cjzfWnyT6tIsoD2fNX2LZtWC\nsFotRpcoDtCgUhkaVOoF9OLS5SvMXBnJ95HLGbH+TQZs2U2xi/dzf4kWPNukBS1r3qe+i0i2mDYN\nmjSBshXOMfmjyWzoucHokkREROQamomTBTON5uVmrtbHnzfv58Off2T9iQWcy7ebUsktaX9fe/o9\n3Ioyft5Gl2cYV+ujoxyKP82nS1exeO/PHOJnwMp91tb0qvc4vR9qiKeHm9El3pbc2kez0Zo4jmd0\ndrsdwsLggw9gW773+T3ud2Y/NtuwekRERHIrzcQRcXJXUm3MXLmJL9b/yB8XFnDFPZEKlvYMrPc2\nL7VpoktpcrlyJX15v2dH3qcjNpudJZv28smKBQxe05fXfztBVbdOvNS0C92b19IMHRG5Y1u3wtmz\nUO/+ZJ765H0WdVlkdEkiIiLyH5qJI2KQK6k2PvjxF6b/Ppd9LMTjig/VC7SnV8OHebJZTa1tI7fk\np9/3MG7pLDac+x67JZXa+TvTr0UXHmlQ2ejSRO5Ibv6dbnT2Pn2gWDEo1W4ac3bPYdkTy+7q/cw0\n685MWUB5nJ2Z8pgpCyiPszNTHs3EEXEi63dF89YPM1l3bjoeqd48UKwbH7ZYQ3iNYKNLExfUpk5F\n2tQZjs02jO8jtjJx1fd0/LE17j8UoqFPFwa37cwDYeWMLlNEnNylSzBrFkRuSqX14rF81uYzo0sS\nERGRG9BMnCyYaTQvNzO6j6fPXuSt7+bz/d5pJObdRmW6MLjlM3RpUs2wmlyR0X10FVdSbUxZ+huf\nrZ/FLvtc8l8uQzO/zrz16OPULO9vdHnqo0loTZzrzZ07l2HDhrF37142bdpE9erV0x8bNWoU06ZN\nw83NjY8++ogHH3zwutcbmX32bJg6FfpO+omRa0eysedGLBZdnikiImIEzcQRMYDNZufrVZsZt3I6\nUZbZ+CbXonvl5xjauR3eBfMaXZ6YmLubld5t7qd3m/u5dHkiExf8wrTI76k9/R18L9bi+RovMrTz\nQy63ILKIswsNDWX+/Pk8//zzGe6Piopi9uzZREVFERcXR/Pmzdm/fz9Wq/NcNjt9OjzzDMzePZvu\nVbtrAEdERMRJOc/Rg5PS2WJzyMk+7jl6godHf0D+flV49ufO3FOgJBu6b+PkB8v44NlOGsC5C/p5\nvH15Pd0Z1DGc/eOmcXpIPI+Vf4IP/3iP/IPL0erdMeyLOZnjNamP5qA+Xq9ChQqUL1/+uvsXLFhA\nly5d8PDyRO8WAAAgAElEQVTwIDAwkKCgICIjIw2o8MZiYiAyElq3Tean/T/xSIVHHPK+ERERDnkf\nZ2CmLKA8zs5MecyUBZTH2ZktT2Y0iCPiAFdSbQz7djH+r3UgZHIwO09uY0zjT7g45gAr336TOhVL\nGV2iCN4F8/JZ7yc5/8FGprX8Pw4m7KXipGDK9evOzBWbjC5PxLTi4+MJCAhI3w4ICCAuLs7AijKa\nORMefxzW/7WC0OKhlPAqYXRJIiIikgkN4mQht4zmmV129fH02Yt0++Bz8g+owLjNw2hWuiUxrx3l\n0PiZvNK+sT5hysH08+g4TzWvyYHx09n34kEq+Fbm2Z8fp+Crten16UwSz1/K1n2rj+aQW/sYHh5O\naGjodV+LFt3ex3E7y+VKNlvapVRPPw3/F/V/PBbymMPe20yztcyUBZTH2Zkpj5mygPI4O7PlyYzW\nxBG5AwdiT/G/aZOIuPApRS/XZFyTqbzUthFWq3MclIvcquCAIix+oz+XU17jndlLmbzlU74c2Z9a\nHk8zofML3F850OgSRZzKihUrbvs1/v7+xMTEpG/Hxsbi73/jRcZ79OhBYGAgAN7e3oSFhaUflF4d\nOHPk9rZtkC9fE6pWv8wPX/zAQ+0fSq8lO/anbW1rW9va1ra2r9/etm0biYmJAERHR3Mz+nQqkduw\ndsdh+nz3Prss3xJ05WHGd+hHu7ohRpcl4lCrth5k4NzJ/GGbSfHk+rzW4GX6PdpMg5SSI8zwO71p\n06aMHz+eGjVqAGkLG3ft2pXIyMj0hY0PHjx43WwcI7L36AFVqkDFtksZuXYkv/X8zWHvHRERkX6A\n6urMlAWUx9mZKY+ZsoDyODsz5bnZMYE1h2sRcUlfrdxM6dcep8l3tSjgUZDNz+xi/7hpGsARU2pW\nLYjN703g+OCjtAhsx1u/vUzh1+vzzqxl2Gyu/Y9rkew0f/58SpUqxcaNG3nooYdo1aoVACEhIXTq\n1ImQkBBatWrFpEmTnOJyqrNn4ccf4Ykn0i6l6hjS0eiSREREJAuaiZMFM43m5WZ30scrqTbembWU\niZvGcd7jT9oUeZVJvZ6lZBGv7ClSsqSfR2NcTkml/4z/4/M9I3C3F6R/raG81bnVHc/MUR/NIbv6\naIaZOHcqp7N//TXMnQs/zE+hxIQS/PH8H5QuXDrH9i8iIiI3ppk4Irch6VIKz3w8nYL9QxmzeQhd\nK/Ti7MhD/DjoVQ3gSK7k6eHGh70e5/y4nTxXuR+jNg/E6/XavPX1Is3MEXFhCxfCww9DRHQE5XzL\naQBHRETEBWgQJws6W2wOt9LHK6k2Xpk6m8JDKvLjoW8YVm8iFyZsZdL/upE/r0f2FylZ0s+jsdzd\nrLzfsyPnx22nd+ggxv/xJgVfr8kbXy24rcEc9dEc1EfXdvkyrFgBDz0Ec6Pm8lhFx30q1VVXF240\nAzNlAeVxdmbKY6YsoDzOzmx5MqNBHBFg9NwVFOpXiy+ixvFuvc84PXEVgzqGayFXkRtwd7My7pkO\nnBu/lZeqvsnErcMo+Hp1Bs6Yz5VUm9HlicgtWLMGKlaEIsWuMH/vfId+tLiIiIhkH62JkwWt3WAO\nmfXxq5Wb6fvTIM67HeHFiu8y7unHcHfT2Kaz0s+jc7LZ7Lz5zUImbh2OnVT6hL7NqO6PZPqzpD6a\ng9bEcbyczP7SS1CiBNTtspoBKwaw+bnNObJfERERyZrWxBH5jxVbDlDqtU48vbwdLUs/RuK7UXzw\nbCcN4IjcAavVwntPtef8hC30q/4Ok3aOwqtfdSb+GGF0aSJyA3Y7LFoE7dqlfSqVZuGIiIi4Dv2L\nNQs6W2wOV/u47dBfVBr4Ai3m1qOiTxh/DT7Ad6/9T2veuAj9PDo3q9XCyCfbcm7CJl6oPIR+63sQ\n8FpH1u+KzvA89dEc1EfXtXMnWCxQoWIq8/bMo0PFDtmyHzOtTWCmLKA8zs5MecyUBZTH2ZktT2Y0\niCO5wtHjZ2jw9hCqT61MPvcC7Ouzj+VvvUFxnwJGlyZiOlarhfd7duT423u4z7sKjb6pwf1vv8mx\n0+eNLk1E+HcWzobY3/Ar6EdwkWCjSxIREZFbpDVxsqC1G1xb0qUUukz8mIXbRxAc8Cgznx5GvRB9\nhKqr0s+ja9q0L5ZOUwZx1BrBc2VH81j5kjRr9oDRZcld0po4jpdT2evUgXffhfXuw0hKSWJs+Nhs\n36eIiIjcOq2JI7nS5MW/4vtGNX79ezkjG3zA/nHTNIAjYoBa9wVweMI3TGo6h6/2f0ibyX2YvjzS\n6LJEcqVjx2D/fmjUCNYcWUPjMo2NLklERERugwZxsqCz/q7nUPxpKvTvRZ81nehdaSjHJyzlzT5P\nG12WOIB+Hl3b863rc2b87zzRdCDPrnyYcv2688eBeKPLkjukn0fXtHgxPPgg2K3JbIrbxP2l78+2\nfZlpbQIzZQHlcXZmymOmLKA8zs5seTKjQRwxDZvNzv8mfU35iZXwdMvL4X5RvN+zI1arxejSROQf\n7m5Wpr7YnZiB+yieryQ1vwylxTujSDx/yejSRHKFhQvT1sOJjIvkvqL3UThvYaNLEhERkdugNXGy\noDU4XMPSTfvo9m1vLlkSmNz6c7qH18rwuPpoDuqjOVzbx9XbDvHEzH6ccNvO0JqTeLNzS2OLk1um\nNXEcL7uzX7wIfn4QHQ2Tdr3D6Yuneb/F+9m2PxEREbkzWhNHTCvx/CUaDxvKQz80oHGJtpweE3nd\nAI6IOK8HwsoR/8F8RtT+jGGb/0f5/j05evyM0WWJ3JH+/ftTsWJFqlatyqOPPsqZM//+XR41ahTB\nwcFUqFCB5cuXG1LfqlVQvTr4+qath9MksIkhdYiIiMid0yBOFnTW33mN+2EVxYdW4eDZXfz+9Dbm\nD+xLXk/3Gz5XfTQH9dEcbtTHwZ0e5OjgnbhbPCg7LpQR3y/N+cLktujn8XoPPvggu3fvZvv27ZQv\nX55Ro0YBEBUVxezZs4mKimLZsmX07t0bm82W4/UtWgRt20JKagobYzfSsHTDbN2fmdYmMFMWUB5n\nZ6Y8ZsoCyuPszJYnMxrEEZez6/Df3Pv6Ewze0JNB1d4n7v0fqHVfgNFlichdKlnEi6ixn/FenWmM\n2PIC5fs/w5G/E40uS+SWhYeHY7WmHVrVqVOH2NhYABYsWECXLl3w8PAgMDCQoKAgIiNz9hPabLa0\nQZx27WBz/GbK+ZTDJ59PjtYgIiIid0+DOFnILaN5rqL3Z99S5bNQiuUtSfyQ3Yx4os0tvU59NAf1\n0Ryy6uOAx5pzdPBOPKx5KDc+lOHfLcmZwuS26Ofx5qZNm0br1q0BiI+PJyDg35MNAQEBxMXF5Wg9\nW7dCoUIQHJxzHy1uptlaZsoCyuPszJTHTFlAeZyd2fJk5sbXnog4maPHz9BoTG/+sm/l23Y/06VJ\nNaNLEpFsVLKIF7vHTGbcD4/xxoZn+eaPJqzs/wFl/LyNLk1yufDwcI4dO3bd/e+99x5t27YF4N13\n38XT05OuXbtm+j4WS85+cuLPP0OrVmm31xxZQ6/qvXJ0/yIiIuIY+nQqcXqTflrPyxFPUMGtNRFv\njKdo4fxGlyQiOSj+1DlajB3EHttC3gz7jGHdHjK6JMlGrv47fcaMGUydOpVVq1aRN29eAEaPHg3A\noEGDAGjZsiXDhw+nTp06GV5rsVjo3r07gYGBAHh7exMWFpZ+ZvHq7Kc72X7gAQgPj6B2nVQejXyU\nQy8fYlfkrjt+v1vZnjhxosPqN3r72plnzlCP8iiPq2z/N5PR9SiP8jjr9rZt20hMTFtGIDo6mpkz\nZ2Z6PKRBHHFaSZdSaDFqBL9dmsoblacy8sm2RpckIgaaMG81g37rSRkas+L1D7i3hNbzMCNX/p2+\nbNkyXn/9ddasWUPRokXT74+KiqJr165ERkYSFxdH8+bNOXjw4HWzcbIre1JS2keLx8fD3rObeHrB\n0+zqvcvh+/mviIiI9ANUV2emLKA8zs5MecyUBZTH2Zkpz82OCTSIkwUz/UVwJau3HaLdzG7kxZvV\nL82gStl77ur91EdzUB/N4W76eOz0ecLHDCTKtoBRdWYw4LHmji1Obll2/Ty68iBOcHAwly9fxtfX\nF4B69eoxadIkIO1yq2nTpuHu7s6HH35IixYtrnt9dmVfvhxGjoR162D8b+M5nHCYTx/61OH7ERER\nEce42TGB1sQRp2Kz2Xlu0kymxfbn4RJvMuf1l3B3sxpdlog4iXt8C7JzzKeM/b9HGBz5FEt3P8/P\nb7yJp4eb0aWJcODAgUwfe+ONN3jjjTdysJp/RURA06Zpt9ccWcOTVZ40pA4RERG5e/rXcRZ01j/n\nHP4rgcB+nfnmz/HMeWgV8wa84rABHPXRHNRHc3BEHwc81pxNvTazNWE1Jfu3Zs/RE3dfmNwW/Ty6\njjVroHFjSLWlsv7oehqVaZQj+712jQJXZ6YsoDzOzkx5zJQFlMfZmS1PZjSII07hwwVrCH6/Kj6e\nfsQP28RjDasYXZKIOLnqwSU5NnYVwV7VCf24OpMX/2p0SSJO58IF2L4d6tWDHX/vwK+AH/cUvLtL\nlEVERMQ4WhMnC1qDI3tdunyFB0a+ze/JM3g77AuGdm2dLftRH81BfTSH7Ojj29/8xDs7e/KQ9wAW\nDHwNqzVnP745N9KaOI6XHdlXroRhw2D9epi4cSJ7Tuzh87afO3QfIiIi4lg3OybQTBwxzIHYU5Qc\n0JJ95zaz/YWt2TaAIyLmN+KJNqx98nd+OT4b/9cf4cjfiUaXJOIUIiLg6ljbmiNraBzY2MhyRERE\n5C5pECcLOuufPeb/uouQibUpV6AacWOXUPlev2zdn/poDuqjOWRXH++vHEj8O+sonqc0QeNq8M2q\nLdmyH0mjn0fXcHU9HJvdxroj62hcJucGccy0NoGZsoDyODsz5TFTFlAeZ2e2PJnRII7kuIEz5tNh\nUVOeLTecTe+OI6+nPiRNRByjUIE8bB/9EX0qjOKpFS3p+v5n2Gy589IckaQk2LoV6teHqBNReOf1\nxr+Qv9FliYiIyF3QmjhZ0BocjnMl1Ub4OyNZd/5LprWYx1PNa+bYvtVHc1AfzSGn+vjz5v08/N1j\n+FlC2Tjkc+7xLZjt+8xNtCaO4zk6++rV8Oab8Ntv8MUfX7D2yFq+euQrh72/iIiIZA+tiSOGiz91\njtL9HmNLwnL+eCEyRwdwRCR3alGzPDFDN+JpzUPgO3VYvyva6JJEctTatdDon08T3xy/mVolaxlb\nkIiIiNw1DeJkQWf9717E9j8p+259vNx9iX13NVXK5vxHm6qP5qA+mkNO9rFo4fzsHzeN1vc8R+Ov\n6jNzxaYc27fZ6efR+f32GzRokHZ7U/wmapbM2RMoZlqbwExZQHmcnZnymCkLKI+zM1uezGgQR7LV\n2P9bSbPv6tOu5P/YM2YqhQrkMbokEcmF5g14hYGVJ/P0qta88dUCo8sRyXY2G0RGQt26cOnKJfac\n2EPVe6oaXZaIiIjcJa2JkwWtwXFnbDY7HcZ9yMJTY5hQ/3v6PtzE0HrUR3NQH83ByD7OXLGJZ1a0\np33Rgcwb8IohNZiF1sRxPEdm37ULHnkEDhyATXGb6LmwJzte2OGQ9xYREZHsdbNjAn0skDjc2QvJ\nVB/6PHGp21jTcwP3Vw40uiQREQC6h9eiXInfaDatNWGD/yRyxPt4ergZXZaIw23YAPXqpd3edmwb\n1UtUN7YgERERcQhdTpUFnfW/PfGnzhE4pDUXbec48vavTjOAoz6ag/poDkb38f7Kgewf+BtHLu6k\nzIAOHE+4YGg9rsroPjqjt956i6pVqxIWFkazZs2IiYlJf2zUqFEEBwdToUIFli9fnu21XDuIs/3v\n7VTxq5Lt+/wvM61NYKYsoDzOzkx5zJQFlMfZmS1PZjSIIw6z5+gJgt95gHs8gzk8Zg7FfQoYXZKI\nyA2V8fMmZtQy8rsV5t4RTdjx5zGjSxITGDBgANu3b2fbtm08/PDDDB8+HICoqChmz55NVFQUy5Yt\no3fv3thstmyt5dpBnB1/76Cqn9bDERERMQMN4mQht4zm3a0NUUcJ+7Ah1bxasGv0ZKe7PEF9NAf1\n0RycpY8F83lyYOwM6ni3pcakeizcGGV0SS7FWfroTLy8vNJvnz9/nqJFiwKwYMECunTpgoeHB4GB\ngQQFBREZGZltdZw+DXFxULky2O32tEEcAxY1NtNsLTNlAeVxdmbKY6YsoDzOzmx5MqNBHLlrSyL3\n0nB6Q1oVe571I97BarUYXZKIyC2xWi2sHvo2T987nIfnN2XCvNVGlyQubsiQIZQuXZoZM2YwePBg\nAOLj4wkICEh/TkBAAHFxcdlWw++/Q82a4O4OR84coYBnAYrmL5pt+xMREZGco0+nkrvy1crNPL28\nLc+UGc3UF7sbXY6IyB17f/4v9NvYmefKjOez3k8aXU6u5ey/08PDwzl27PrL79577z3atm2bvj16\n9Gj27dvH9OnTeemll6hbty7dunUD4Nlnn6V169Y8+uijGd7DYrHQvXt3AgMDAfD29iYsLCz9zOLV\n2U9Zba9e3YTUVAgPj2D90fX85vYbS7otueXXO2p74sSJd1S/M25fO/PMGepRHuVxle3/ZjK6HuVR\nHmfd3rZtG4mJiQBER0czc+bMTI+HNIgjd2zCvNX0/70zgyt/wbtPtjO6HBGRu7ZwYxSP/tCCzv5v\n8U3f54wuJ1cyy+/0o0eP0rp1a3bt2sXo0aMBGDRoEAAtW7Zk+PDh1KlTJ8NrHJW9RQvo0wfatoWR\na0ZyIeUCo5uPvuv3vV0RERHpB6iuzkxZQHmcnZnymCkLKI+zM1Oemx0TWHO4Fpdz7aie/GvA9Hn0\n/70zH9Sf6xIDOOqjOaiP5uDMfWxXN4Sfu/7CrLh36TJhstHlODVn7qNRDhw4kH57wYIFVKtWDYB2\n7doxa9YsLl++zOHDhzlw4AC1a9fOlhrsdtiyJe1yKkj7ZCqjFjU2y4E0mCsLKI+zM1MeM2UB5XF2\nZsuTGXejCxDX0+OjL/k69k2+brmMbg9UN7ocERGHalYtiJXWX2j+9QOkjLvC//V/yeiSxEUMHjyY\nffv24ebmRrly5Zg8OW0gMCQkhE6dOhESEoK7uzuTJk3CYsme9eOOHgVPTyhRIm17+9/bGdF0RLbs\nS0RERHKeLqeS2/LQe+P4+fSnLO68nBY1yxtdjohItlm/K5qmMx7goaIv8eOgV40uJ9fIzb/THZF9\n3jyYPh0WLYKLKRfxHevLucHncLfm/Hk7M01rN1MWUB5nZ6Y8ZsoCyuPszJRHl1PJXbPZ7NR9cxAr\nT05nQ6/1GsAREdO7v3Iga5+JYPGJT2kzarzR5Yjcki1boEaNtNv7T+2nnE85QwZwREREJHtoECcL\nuuY/TaNhb7Hjws/seHUtte4LyPoFTkZ9NAf10RxcqY/1Qkrz23MRLD85hZbv5PzCsM7MlfqYm2ze\n/O8gzt6Te6lQtIJhtZjlbCiYKwsoj7MzUx4zZQHlcXZmy5MZDeJIllq8M4pN5+ex5dXl3FeqqNHl\niIjkqFr3BbDxfxH8kjCDZiNGGl2OSKauLmrsLIM4IiIi4ngaxMlCbhnNy8xj4z5mdcKXbHhhJRVL\nFzO6nDuW2/toFuqjObhiH6sHl2TTixGsT/yexsOGYrPlzjVbruWKfTS7o0fBwwNKlkzb3nNyDxWL\nVjSsHjPN1jJTFlAeZ2emPGbKAsrj7MyWJzMaxJFMPf3RNH48Po5fnl5J9eCSRpcjImKoKmXv4Y+X\nI/j97DwaDXtLAznidK6dhQOaiSMiImJG+nSqLJhphevb8fKUWXx68DWWdIowxSLGubWPZqM+moOr\n93HP0RNU/6A5VQu04rcRo7Bas+ejop1ddvVRn05159mHDAF3dxg+HGx2G16jvPi7398U9CzowCpF\nREQku+nTqeS2DPl6IZ8e6sucdj+bYgBHRMSRKpYuxo7XV7P9wlJavafFjsV5bNsG1aql3T565ihF\n8hXRAI6IiIjJaBAnC658tvhOjP2/lYza9SzTmi+iw/2hRpfjMLmtj2alPpqDGfoYHFCEX3svZXXi\nFHp9OtPocgxhhj6azc6dUKVK2u09J/YYfimVmdYmMFMWUB5nZ6Y8ZsoCyuPszJYnMxrEkXSTflrP\noE1d+aThPLqH1zK6HBERp1Y9uCQLOi1l2tGBvDNrmdHlSC6XkJD2FRiYtr3v1D7uK3KfoTWJiIiI\n42kQJwu5ZTTvq5Wb6bPuUd6r+S2929xvdDkOl1v6aHbqozmYqY+ta1dgUuN5vL3tSWau2GR0OTnK\nTH00g127oHJlsP5zZHfo9CGCfIMMrclMs7XMlAWUx9mZKY+ZsoDyODuz5cmMBnGE+b/u4ukVbRhc\n+QsGdQw3uhwREZfyfOv6DK70Jc+saM+qrQeNLkdyqR07IPSaq6D/TPyTsj5ljStIREREsoUGcbJg\n9tG83/fE8NiPLXmx3ETefbKd0eVkG7P3MbdQH83BjH1898l2dCk5jJbftGR39HGjy8kRZuyjo0yY\nMAGr1crp06fT7xs1ahTBwcFUqFCB5cuXO3yf166HA/BngvGDOGaarWWmLKA8zs5MecyUBZTH2Zkt\nT2Y0iJOLHTt9niZT2tLa91U+eq6z0eWIiLi0b/o+R32vbtT+8CGOnT5vdDlikJiYGFasWEGZMmXS\n74uKimL27NlERUWxbNkyevfujc1mc+h+r52JY7PbiE6M5l6fex26DxERETGeBnGyYNbRvCupNqqN\nfIJS7jVYMPA1o8vJdmbtY26jPpqDmfv4y9vDKOUeRuWRj5F0KcXocrKVmft4N1577TXGjh2b4b4F\nCxbQpUsXPDw8CAwMJCgoiMjISIft02ZLWxPn6iBO/Ll4fPL6kN8jv8P2cSfMNFvLTFlAeZydmfKY\nKQsoj7MzW57MaBAnl2owdDAX7Yn8MWIyVqvF6HJEREzBarWw7d3JuOFB6JvPYrPZjS5JctCCBQsI\nCAigyrXXNQHx8fEEBASkbwcEBBAXF+ew/R45AoUKga9v2rYzXEolIiIi2UODOFkw42jes5/M4I+L\nP7Cp3w8UzOdpdDk5wox9zI3UR3Mwex/zerqz8+1Z/J26j/uHDjG6nGxj9j5mJjw8nNDQ0Ou+Fi5c\nyKhRoxg+fHj6c+32zAfxLBbHnUDZscP51sMBc83WMlMWUB5nZ6Y8ZsoCyuPszJYnM+5GFyA565NF\n65gWM4CfHl9LcEARo8sRETGl4j4F2PLaT4RObECn8f7M6fei0SWJg6xYseKG9+/atYvDhw9TtWpV\nAGJjY6lRowa///47/v7+xMTEpD83NjYWf3//G75Pjx49CAwMBMDb25uwsLD0AbOrB6f/3d65swmh\nof9uH7IdoqxP2Uyfn1Pb27ZtM3T/2ta2to3fvspZ6lEe5XHW7W3btpGYmAhAdHQ0N2Ox3+w0kYuw\nWCw3Pdt1NyIiItK/ua4uYvufNPu2Ae/UnMngTg8aXU6OMlMfczP10RxyUx8jtv/JA9/V44P6c3il\nfWOjy3Go7Opjdv5Oz0n33nsvW7ZswdfXl6ioKLp27UpkZCRxcXE0b96cgwcPXjcb506zd+kCrVrB\nU0+lbXeb140W5VrwVNWnHBFFREREctjNjgmsOVyLGOTo8TO0mNmGDsXfzHUDOCIiRmlStSzv1via\n137twub9jlsDRZzftQM0ISEhdOrUiZCQEFq1asWkSZMcejnV3r1QseK/2zFnYihduLTD3l9ERESc\nh2bi5AKXLl8hYGAbSuYJYsfoT4wuR0Qk13lw5HtsOL2IuHciKFQgj9HlOLXc/Dv9TrLbbODlBceO\npf0JUPbDsix/cjlBvkHZUOWtM9OsOzNlAeVxdmbKY6YsoDzOzkx5NBMnl6vz9mtgtxM5YqLRpYiI\n5EpL3hhEQfyoP+JVo0sRkzl6FHx8/h3AsdltxJ2Lw9/rxmvuiIiIiGvTIE4W/rtIkqvpMmEyey+v\nYMvg2eT1zL3rWLt6HyWN+mgOubGP7m5Wfh88k/1XVtHr05lGl+MQubGPzmjvXqhQ4d/tk0kn8fL0\nIp9HPuOK+odZzoaCubKA8jg7M+UxUxZQHmdntjyZ0SCOiX28cC1zjg9nyZOLKOPnbXQ5IiK5Wuni\nhfm/jvP5MqYf367+w+hyTO/IkSOcPHkSgA0bNjBu3Djmz59vcFWO999BnNizsZQqXMq4gkRERCRb\naRAnC646mrcv5iSvruvG0LDpNKtm7DXxzsBV+ygZqY/mkJv72K5uCH2DJ9FjSQcOxJ4yupy74sx9\nHDFiBA888AB16tThzTff5NVXX+XUqVN89NFHvPLKK0aX51D/XdQ49mwsAYUCjCvoGmaarWWmLKA8\nzs5MecyUBZTH2ZktT2Zy7/U1Jmaz2Wn0/tNUy9+Zt7u0MrocERG5xvs9O7JuSCT1xnclftwSPD3c\njC7JdL7//nuioqJISkqidOnSHDt2jAIFCnDlyhWqVq1qdHkOtXcvdOz473bMmRgCvJxjEEdEREQc\nTzNxsuCKo3kdxn3IBY7zy5vvGl2K03DFPsr11EdzUB9h3dBRpJLCAyOHGl3KHXPmPubNm5c8efLg\n4+NDUFAQBQoUAMDd3R1PT0+Dq3OsG11O5SwzcZx5ttbtMlMWUB5nZ6Y8ZsoCyuPszJYnM5qJYzJf\nrdzMgtPvsbrHRgrmM9eBqoiIWeT1dGd931lU/bQmb3xVi/eeam90SaZy5swZ5s2bh91uz3D76mNm\nkZAASUlQsuS/98Wei6X5vc2NK0pERESylWbiZMGVRvNiT5yl59LO9C3/KU2qljW6HKfiSn2UzKmP\n5qA+pqkUWJzPm89l9O5e/Lx5v9Hl3DZn7mOjRo1YtGgRP/30E40bN06/fXXbLK7OwrFY/r3PmWbi\nOPNsrdtlpiygPM7OTHnMlAWUx9mZLU9mNBPHJGw2O/eP/h9Bbs14v2fHrF8gIiKG69miDqujRvLw\nt3vCU3wAACAASURBVJ34u+LvFCqQx+iSTCE0NNToEnLE/v0QHJzxPmcaxBERERHH00ycLLjKaF7P\nT6ZzzL6TX9+caHQpTslV+ig3pz6ag/qY0devPIc3ZWg5erjRpdwWZ+7juXPnOH/+PFu2bOGzzz4j\nPj6e+Ph4Pv/8c7Zu3Wp0eQ5z6BAE/ecDKI+dP0YJrxLGFPQfzjxb63aZKQsoj7MzUx4zZQHlcXZm\ny5MZzcQxgYUbo5gZP5AfO63Bt1A+o8sREZHbYLVaWPHyFKpODuPzJW14vnV9o0tyecOGDQOgYcOG\n/PHHH3h5eaXf37p1awMrc6xDh6BFi3+3k1KSSElNwcvTy7iiREREJFtpJk4WnH007/TZi3Sa8zhP\nlRxNu7ohRpfjtJy9j3Jr1EdzUB+vV/leP/qFTKLPqqc4dvq80eXcElfo4/Hjx/Hw8Ejf9vDw4Pjx\n4wZW5FgHD2aciXPiwgmKFSiG5dpFcgzkzLO1bpeZsoDyODsz5TFTFlAeZ2e2PJnRII6Lu/+dV/Gz\nVGZan2eMLkVERO7CmB6PUMZyP83G9De6FNN46qmnqF27NsOGDWPo0KHUqVOH7t27Z9v+hg0bRkBA\nANWqVaNatWosXbo0/bFRo0YRHBxMhQoVWL58uUP2d+gQlCv37/aJpBMUL1DcIe8tIiIizsliv/qZ\nmy7MYrGQXTEiIiKc9mzja1/O5eOowRwe9AcBxQoZXY5Tc+Y+yq1TH81Bfczc0eNnKDuuCm9X/4y3\nu7Qyupybyq4+Ovp3+pYtW1i3bh0Wi4VGjRpRrVo1h733fw0fPhwvLy9ee+21DPdHRUXRtWtXNm3a\nRFxcHM2bN2f//v1YrRnPpd1O9sREKFUKzp7999OplhxYwseRH7O029Kbv1hERESc2s2OCbQmjova\ndfhvJu5/kektF2sAR0TEJEoXL8yYetMZsOEpujXeQbmSvkaX5PJq1KhBjRo1cmx/NzrgWrBgAV26\ndMHDw4PAwECCgoKIjIykbt26d7yfq7Nwrr1y6viF45qJIyIiYnK6nCoLznq2uPXHL1Pb4xm6h9cy\nuhSX4Kx9lNujPpqD+nhzrz/6AFXcH+OBCS8aXcpNqY839vHHH1O1alV69uxJYmIiAPHx8QQE/Pux\n3wEBAcTFxd3Vfv57KRX8M4iT33kGccy0NoGZsoDyODsz5TFTFlAeZ2e2PJnRII4LGvL1Qo5ZtrJk\nwFCjSxERkWywavAojtm38fKUWUaXIv8RHh5OaGjodV8LFy7khRde4PDhw2zbto0SJUrw+uuvZ/o+\nd7v4cKaDOJqJIyIiYmq6nCoLzrZ2w9HjZxiz40UmNPpGHyd+G5ytj3Jn1EdzUB+z5lsoH1Nbf02P\nFa15an9Dapb3N7qk6+TWPq5YseKWnvfss8/Stm1bAPz9/YmJiUl/LDY2Fn//G/e0R48eBAYGAuDt\n7U1YWFj69/nqGcYmTZpw8CB4e0cQEfHvrKgdv++geonq0IDrnm/E9tX7jNq/I7ebNGniVPUoj/Jo\nW9vaNtf2tm3b0mfwRkdHczNa2DgLEU52kFpp4AvY7KnsGTvF6FJcirP1Ue6M+mgO6uOtazp8ODsT\nN3B8wlKsVuf42OirsquP2fk7Pbv99ddflChRAoAPPviATZs28d1336UvbBwZGZm+sPHBgwevm41z\nO9mbNIG33oJmzf69r+U3LXmlziu0CnbuRbFFRETk5m52TGDN4VpcjjP9Q+OTRevYa1vEstfHGl2K\ny3GmPsqdUx/NQX28dYsHvsFFTvHExM+NLuU66uP1Bg4cSJUqVahatSpr1qzhgw8+ACAkJOT/2bvz\nuKjq9YHjn2EYQFkERVFBBQVFFLdc0jSpXCvNvEaa1zVvVlfNa7aodbV7TdOrZVq2WFa0uOV1KcvM\nhbLMMNebpKKAsogLCIqyz/n94Y9JZBmWgXPm8LxfL1559ueZB5vxme/5HsLDwwkJCWHw4MGsXLmy\nVtxOVfhNox7oKReQfLROT/noKReQfLROb/mURm6nshPpmdnMiJzEzNAVtPDxVDscIYQQNaCui4kN\noz7lwf/2ZsapIZq8rUr8KSIiotRts2fPZvbs2Ta5TnY2XLx48xHjt7p84zLedb1tcg0hhBBCaJPc\nTmWFVob99/7nS8RnniDx9S/VDsUuaaWOomqkjvogday43v98iYTrZzi7dI3aoVjI7VS2V97cY2Jg\n4ECIjS263mOhB4kzEvFw9qimCIUQQghRE+R2Kjv35d5j7Mt5n6//vkLtUIQQQqhg87OzSXLYx+ub\n9qgditCAs2ehRYui6/LN+dzIu4Gbk5s6QQkhhBCiRkgTxwq1vy3OzStg3H8fZ6zvQjq1aqJqLPZM\n7ToK25A66oPUseK869Xl2XbLmL13Cjey89QOB5A6quncueJNnKs5V/Fw9sDBoJ2Pdnqam0BPuYDk\no3V6ykdPuYDko3V6y6c02nmnFyV6ZOmbOCnurJ4yUe1QhBBCqGjh2GG4Kc149I3laociVFbSSJz0\n7HQ8XWTOPCGEEELvVG3ibN++neDgYIKCgli0aFGx7ZGRkdSrV4/OnTvTuXNn5s+fX+MxqtnNizwa\ny1fpC/hy3Puae7SsvaktXVm9kzrqg9SxchwcDHw+ejnbMhZyKCZZ7XCkjio6exaaNy+6TotNHD2N\n1tJTLiD5aJ2e8tFTLiD5aJ3e8imNak2cgoICpkyZwvbt24mOjmbNmjX88ccfxfbr27cvhw8f5vDh\nw7z00ksqRKqeRz+exkD357ivc6DaoQghhNCAgV1b09NpMsPfnal2KEJFMhJHCCGEqL1Ua+JERUUR\nGBiIv78/JpOJkSNHsmXLlmL7qf2ECrW6ef/ZuIs04x+smz5dlevrTW3pyuqd1FEfpI5Vs+kfs0l0\n+JllmyNVjUPqqJ6S5sS5knVFc00cPY3W0lMuIPlonZ7y0VMuIPlond7yKY1qTZykpCSaNWtmWfbz\n8yMpKanIPgaDgX379tGxY0fuv/9+oqOjazpMVeTmFTD3p5lMa7sID1dntcMRQgihIY28XPlH29d5\n8UftTHIsao7ZDElJcMtHKODmSBwvFy91ghJCCCFEjVGtiWMwWJ/jpUuXLiQkJHD06FGmTp3KsGHD\naiCyotTo5v39/c9wVOrynwl/qfFr61Vt6crqndRRH6SOVbdo/HDczL6MWrZCtRikjuo4fx68vMDF\npeh6Ld5OpafRWnrKBSQfrdNTPnrKBSQfrdNbPqVxVOvCvr6+JCQkWJYTEhLw8/Mrso+7u7vlz4MH\nD+bpp58mLS2N+vXrFzvf+PHj8ff3B8DT05NOnTpZilj4QdMeli9n3GD1jzOZcccrlsmMtRSfvS4f\nOXJEU/HIsizX5mX5+2ib5c//uoJBr3fjg89bMGn0X1SPp7LLR44cIT09HYD4+HhE2c6dKz6pMWiz\niSOEEEII2zMoKk06k5+fT5s2bdi1axdNmzale/furFmzhrZt21r2uXDhAo0aNcJgMBAVFUV4eHiJ\nH/AMBoPqc+fYSr9/zedU+v849/o6tUMRQgihcT1fnkXKjQTiln6mdig2o6f39IoqT+5r18J//wvr\n1xddP/WbqQQ1CGJaj2nVGGHFREZGWhp29k5PuYDko3V6ykdPuYDko3V6yqeszwSqjcRxdHTkrbfe\nYuDAgRQUFPD444/Ttm1b3nvvPQAmT57Ml19+yTvvvIOjoyN169Zl7dq1aoVbI47FprD7xjJ2j4tS\nOxQhhBB2YMuMl2i6oC0rv/6Jpx/srXY4ogaUNhLnau5VPJw9aj4gIYQQQtQo1Ubi2FJ1fmtXk928\nts9PxtXkzm+vLqmR69UmeurK1mZSR32QOtrW397+hPUxH3Ll9R8st+HWhOqqo72PxFmxYgUrV67E\naDTywAMPsGjRIgAWLlzI6tWrMRqNLF++nAEDBhQ7tjy5T5sGLVvC7Q+vHLF+BI+2e5RH2j1is1yE\nEEIIoQ5NjsQRRW3Zd5yThk2cmXJS7VCEEELYkRV/G03ErIUs3riTFx/pr3Y4tdqePXvYunUrx44d\nw2QycenSJQCio6NZt24d0dHRJCUl0a9fP06dOoWDg0OFr5GUBH36FF9/Pe86rk6uVU1BCCGEEBpX\n8U8PtUxNfVv8tw3PM6zBHAKayONBq4N8668PUkd9kDralouTI5PbzGP+vpcwm2tuBIvUsbh33nmH\nWbNmYTKZAGjYsCEAW7ZsYdSoUZhMJvz9/QkMDCQqqnK3Ticng69v8fXXc6/j5uRW6dirQ+FE1nqg\np1xA8tE6PeWjp1xA8tE6veVTGmniaMDiL3dyxeEkEVOfUjsUIYQQduj1x8PJN9xg7udfqx1KrRYT\nE8OPP/7InXfeSVhYGL/99hsAycnJRZ7A6efnR1JSUqWukZQETZsWX5+Zm4mrSUbiCCGEEHont1NZ\nUd1zN+TmFTD352eZHroItzpO1Xad2k7m4NAHqaM+SB1tz9HowD86/pslh15m7mMP4Gis/u9oamsd\n+/fvT0pKSrH1r776Kvn5+Vy5coX9+/dz4MABwsPDiY2NLfE8BkPJ8xeNHz8ef39/ADw9PenUqZPl\ndd69O5LkZGjS5ObyrY9sv553neMHjnOt3jXNPEK+cJ1W4qnKclhYmKbikXwkH1mWZVnW1/KRI0dI\nT08HKPGJ3LeSiY2tiKzmD6mT3vqY9ac/IP31vTU6IWVtU911FDVD6qgPUsfqYTYruD/bjcntX+D1\nx6t/ctvqqqM9T2w8ePBgXnzxRfr27QtAYGAg+/fv54MPPgDgxRdfBGDQoEG88sor9OjRo8jx1nK/\ncAHat4f/n2qnCL/X/fjl8V9oVq+ZjbIRQgghhFrK+kzgUMOx2J3q/IdGdm4+n8S/wqL+i6SBU83k\nH4z6IHXUB6lj9XBwMDCrx3zePv5PcvMKqv16Usfihg0bxu7duwE4deoUubm5eHt7M3ToUNauXUtu\nbi5xcXHExMTQvXv3Cp+/tPlwQJsTGxd+06gHesoFJB+t01M+esoFJB+t01s+pZEmjor+8eFa3PL9\neeqBu9QORQghhA7MDh+Is7kB01Z9oXYotdLEiROJjY0lNDSUUaNGERERAUBISAjh4eGEhIQwePBg\nVq5cWertVGUpbT4cuDknjtYmNhZCCCGE7cntVFZU13Dx/AIzbs91YO6drzMrfIDNzy+Kkts39EHq\nqA9Sx+q1bHMkz/30OBnzT1DXxVRt15HbqWzPWu7vvQe//QarVhVdn1uQi+sCV/JezqvmCIUQQghR\nE+R2Kg365+dfYVRceGFEf7VDEUIIoSPTh4Xhnh/Ak+9+rHYowsaSk/8ciXM99zo/nv3R8md5MpUQ\nQghRO0gTx4rq+JbRbFZYfngBf+8wW+bCqSHyrb8+SB31QepY/V4b+G++SPo36ZnZ1XYNqWPNS0r6\nc06cObvn0Pfjvvx07iey8rOoY6qjbnAl0NPcBHrKBSQfrdNTPnrKBSQfrdNbPqWRJo4Klm7aTZ7h\nKgvGDlM7FCGEEDr0xOCeNMjvwKR3VlnfWdiNwpE4BeYCvvjfF4ztOJatJ7eSW5CLs9FZ7fCEEEII\nUQOkiWNFdXTzFu5dwLhWs3A0ystfU2pLV1bvpI76IHWsGa8P+RebLi3k6vWcajm/1LHmFY7EOXH5\nBPVc6vFou0c5nHKY3IJcnIxOaodXjJ5Ga+kpF5B8tE5P+egpF5B8tE5v+ZRGugg17IPt+7nqeIZl\nj49SOxQhhBA6NvreLnjmtmfmx+vUDkVUwq7YXQS8GcAHhz6wrCscifNb8m90a9qN1g1aczrtNDn5\nOZps4gghhBDC9qSJY4Wtu3kvf7eQ4Y2fq9YnhojiaktXVu+kjvogdaw507pP57PTyzCbbf+0J6lj\n9TErZiZ/PZlnejzDc98/x7Wca+TlQXo6NGwIxy4co6NPR5rXa07S1SSy87M12cTR02gtPeUCko/W\n6SkfPeUCko/W6S2f0kgTpwZt/Ol/XDRF8e4TE9UORQghRC0w59FB5Dtc5+2v96odiqiAn879RF1T\nXZ7p8Qx9W/Rl04lNXL4MDRqAgwOcuXKGwPqBOBmd8HD24HzmeZwdZU4cIYQQojaQJo4VtuzmPbvp\nNQbUm059D+09QULvaktXVu+kjvogdaw5jkYHhjd9hoV7ltn83FLH6rMrdhcPtn4Qg8HAwFYD2RO/\nhwsXoFGjm9vPXDlDq/qtAPBx8+Fs+llNjsTR02gtPeUCko/W6SkfPeUCko/W6S2f0kgTp4ZEHo3l\nnOk7Vj3xlNqhCCGEqEWWTRhLivOPRB6NVTsUUU77EvfRq1kvAHo3783P537m4kXw8QFFUYi9EktL\nr5YANKjTgAvXL2iyiSOEEEII25MmjhW26uY9/fli7nJ+Cr+GHjY5n6iY2tKV1Tupoz5IHWtW4/pu\ndDVO5Nl1b9n0vFLH6lFgLiAqKYo7/e4EINg7mHMZ50hMyaJRI8jIycBoMOLhfPPzhKeLJxevX9Rk\nE0dPo7X0lAtIPlqnp3z0lAtIPlqnt3xKI02cGnAmOY0/jGt5//FpaocihBCiFnpz9BQOKx+TeOmq\n2qEIK+LT4/F08cS7rjcAJqOJVvVbcTzlFI0aQUpmCo3dGlv293TxlJE4QgghRC0iTRwrbNHNe+6z\nT2mRez9tmzesekCiUmpLV1bvpI76IHWseT1DmuOb049nPvrYZueUOhY3cuRIOnfuTOfOnQkICKBz\n586WbQsXLiQoKIjg4GB27NhR6jlOp50msH5gkXXB3sHEpJ/Ax6d4E6eecz3NjsTR02gtPeUCko/W\n6SkfPeUCko/W6S2f0jiqHYDemc0K36S8z6K+K9UORQghRC32Ur/pTNk1lty8v+NkMqodji6tXbvW\n8ueZM2fi6ekJQHR0NOvWrSM6OpqkpCT69evHqVOncHAo/l3amStnaOXVqsi65h7N+el6Io0Cizdx\nXJ1cSc9OJ6h+UDVlJYQQQggtkZE4VlS1m/fuNz+jGAqYOuRu2wQkKqW2dGX1TuqoD1JHdfxtUE+c\nzfV5Ze02m5xP6lg6RVFYv349o0aNAmDLli2MGjUKk8mEv78/gYGBREVFlXjsmbTiTRw/Dz8u5yaW\neDtVXVNd0rPTNTkSR0+jtfSUC0g+WqenfPSUC0g+Wqe3fEojTZxqtjTyfQY1fAIHB4PaoQghhKjF\nHBwMjGsznZUHbf+4cVHU3r178fHxoVWrm82Y5ORk/Pz8LNv9/PxISkoq8dgzV84Uu53Kz8OPdHMi\nPj5w+cZlGtRpYNlW11SXjOwMTTZxhBBCCGF70sSxoirdvDPJacSatrJ49FjbBSQqpbZ0ZfVO6qgP\nUkf1LBo3gqtOJ1n/49Eqn6u21rF///6EhoYW+/nqq68s+6xZs4bHHnuszPMYDCV/uROXHkeAV0CR\ndX4eftxwTLj5dKrsDDxdPC3b6jjWISs/S5NNHD2N1tJTLiD5aJ2e8tFTLiD5aJ3e8imNzIlTjW5O\naPwAbZp5qx2KEEIIgVsdJ+5z/zsvfbWc8Ls/VDscu/T999+XuT0/P59NmzZx6NAhyzpfX18SEhIs\ny4mJifj6+pZ4/MkPTvL52c/Z6rwVT09POnXqhG+oH7mmS5w4EcmJgyfoOqQrcLORdi7mHABORidL\nY63wQ6wsy7Isy7Isy7Is28fykSNHSE9PByA+Pp6yGBRFUcrcww4YDAa0lobZrFBnZjsW932HZx7q\nq3Y4QgghBAC/x12gw/vBpDyfSCMvV7XDKUaL7+kVsX37dhYtWsSePXss66Kjo3nssceIioqyTGx8\n+vTpYqNxDAYDjv9y5MbsG5iMJsv6uJRUWi4LQnktjaFrhjKx80SGBQ8DYN3v6xi5cSRz+sxh/r3z\naybJcoqMjLR8QLV3esoFJB+t01M+esoFJB+t01M+ZX0ecqjhWGqNd7/5GQxmmdBYCCGEprQP8ME7\nuyfz1m1WOxRdWrdunWVC40IhISGEh4cTEhLC4MGDWblyZam3U9VzrlekgQOQk+EJzlcxK2Yycore\nTuXs6Hzzv0ZnG2cihBBCCC2SJo4VhUOdKmrJnvdkQmMNqWwdhbZIHfVB6qi+R4PHsP5ERJXOIXUs\n2UcffcQTTzxRbP3s2bM5ffo0J06cYODAgaUe38i1UbF1qZeNGAvcyMjOID07nXrO9SzbTA43Gz4y\nJ0710lMuIPlonZ7y0VMuIPlond7yKY00carBmeQ04py+Yslfx6kdihBCCFHM3JEPkVYniiNnzqsd\niriNj5tPsXUXLoCzuT5Xsq8Um9i4cNSOFps4QgghhLA9aeJYUZlu3sxPI2iR+wBBfg2s7yxqRG3p\nyuqd1FEfpI7q865Xl8D8h3l5/ReVPofUsXrUr1O/2LqLF6GuwYu0rLSbI3Fcio/Euf0WLC3Q02gt\nPeUCko/W6SkfPeUCko/W6S2f0kgTx8bMZoVvLrzPs30nqx2KEEIIUaone41h58VP1Q5D3ObWW6UK\npaaCm6MXV7KukJmbiZuTm2Wbo8PNB40aDcYai1EIIYQQ6pEmjhUV7eat2v4LGMz8/cE+1ROQqJTa\n0pXVO6mjPkgdtWHa0L7kOabx5d5jlTpe6lg9PJw9iq1LTQV3kyepWakoKJbRN/DnCJzSJkpWk55G\na+kpF5B8tE5P+egpF5B8tE5v+ZRGmjg29t7eDfTyGCUTGgshhNA0R6MD3VxGs2i7jMbRkpJG4qSl\ngbuLK6k3UqnjWKdIw6awoeNgkI90QgghRG0g7/hWVKSbl19g5lj+l0zvP6L6AhKVUlu6snonddQH\nqaN2zHpgDIfyviA3r6DCx0odq0dpI3Hq1XHl8o3LuDi6FNlWOBJHi00cPY3W0lMuIPlonZ7y0VMu\nIPlond7yKY323vHt2Cc7D2AscGPInSFqhyKEEEJYNfTOEJzzGvP65t1qhyL+X0lNnLQ0qFfXldSs\n1OJNHBmJI4QQQtQq8o5vRUW6ee/++CXd3UfIrVQaVFu6snonddQHqaO2DGoyllW/VvyWKqlj9Sht\nJE59t1KaOBoeiaOn0Vp6ygUkH63TUz56ygUkH63TWz6l0d47vp0ymxWO5HzJ1PvkViohhBD249/h\no4g1bSUlLVPtUAQUeXx4obQ0aOBxc04cGYkjhBBC1G7yjm9Febt5X+w5hEExMaJ3h+oNSFRKbenK\n6p3UUR+kjtrSzr8RDbPvYt7aTRU6TupYPdyd3IssKwpcuQJe7i6kZ6cXa+IUPmLcgPZGAetptJae\ncgHJR+v0lI+ecgHJR+v0lk9pHNUOQC/ejvySrnXlViohhBD259Hgv7LuxKe8yxi1Q6n13Jzciixf\nvQp16oCb880mjndd7yLbtXw7lRBC1Eb169fnypUraoch7ISXlxdpaWkVOkbe8a0oTzfPbFb47cYG\n/n6P3EqlVbWlK6t3Ukd9kDpqz8xhg7lU5ycuZ9wo9zFSx+px+0ib1FSoXx+cHZ3JyMkodSSOFps4\nehqtpadcQPLROj3lo6dcoHz5XLlyBUVR5Ed+yvVTmYaf9t7x7dCGvUfBYGZUWGe1QxFCCCEqrIWP\nJ/VudGH5V/KUqqqIioqie/fudO7cmW7dunHgwAHLtoULFxIUFERwcDA7duwo9Rx1THWKLKelQYMG\n4Gx0JiO7eBPHaDAC2mziCCGEEML25B3fivJ0W1fs+pLOznIrlZbp7VuA2krqqA9SR226q9EDbPzf\ntnLvL3Us7vnnn+ff//43hw8f5l//+hfPP/88ANHR0axbt47o6Gi2b9/O008/jdlsLvEcdRyLNnEK\nR+K4OLqQlZ9VrIlT2LzRYhNHT6O19JQLSD5ap6d89JQL6C8fYZ+0945vZ8xmhajrG3iqr9xKJYQQ\nwn49dd+DnDR/jdmsqB2K3WrSpAkZGRkApKen4+vrC8CWLVsYNWoUJpMJf39/AgMDiYqKKvEctzdp\nLCNxHJ1L3G50kJE4QgghRG0i7/hWWOu2bvnlOGaHLMb161YzAYlKka65Pkgd9UHqqE33dwvGoJj4\n78//K9f+UsfiXnvtNZ599lmaN2/Oc889x8KFCwFITk7Gz8/Psp+fnx9JSUklnuP226ksc+IYS2ni\naPh2Kj2N1tJTLiD5aJ2e8tFTLqC/fEoyfvx4Xn75ZeDme32zZs1Ujqh8zp07h7u7O4qi/y+j5OlU\nVfTm91/S0SS3UgkhhLBvDg4G2jo+wKoftjGiTwe1w9Gs/v37k5KSUmz9q6++yvLly1m+fDkPP/ww\nGzZsYOLEiXz//fclnsdgKPlzw6SJk/D39wfA09OTo0c74ecXdnMkThykOqfC0Jv7RkZGkl+Qbzlf\nYWOt8B8ZsizLsizLsqzOsj0ICwvj2LFjpKSk4OTkZFlvMBhKfY/SsubNm3Pt2jXVrv/yyy+zefNm\nTpw4wUsvvcTcuXPLfWxkZCRHjhwhPT0dgPj4+DL3Nyg6aFUZDAbVOm51/9GZxfcuZ8qQPqpcXwgh\nhLCV+Wu3s3j/fK4u+0m1GNR8T68qDw8Prl69CoCiKHh6epKRkcFrr70GwIsvvgjAoEGDeOWVV+jR\no0eR40vK/ZlnwN8f7n70IF1XdeXZns+yZMASy3azYsb4LyNbRm5haJuh1ZhdxUVGRtrVP2jKoqdc\nQPLROj3lo6dcoHz52MP7WHx8PCEhITRv3pz58+czYsSfU4NMmDABPz8//v3vfxMZGcmYMWNISEio\ntlgKCgowGo3Vdv6aEhERQaNGjXj33Xfp0qUL//znP8t1XGm/L2X9Hmlv7K0diUlMJavOGSb2v1Pt\nUIQQQogqm/JgGNfqHiMmMVXtUOxSYGAgP/zwAwC7d++mdevWAAwdOpS1a9eSm5tLXFwcMTExdO/e\nvVznTEu7eTtV4aPEC/9byIChyH+FEEIIayIiIujXrx9jxozhk08+qdQ5Fi9ejLu7u+XHZDIxYcIE\nADIyMnj88cdp2rQpfn5+vPzyy5YJ/T/++GPuuusuZsyYgbe3N6+88gpXr15l7NixNGrUCH9/Rt0+\nkAAAIABJREFUf1599VVLA+P06dP07dsXT09PGjZsyMiRI0uMJz4+HgcHB8t1wsLC+Oc//0nv3r3x\n8PBg4MCBpKaW/PlmyJAhRXIxGo1ERERU6PUYO3YsgwYNqpFbuqSJY0Xh0LiSvL8jkoZZvanrYqq5\ngESllFVHYT+kjvogddQuTzcXGmfdwxtfb7e6r9SxuPfff5/nn3+eTp068dJLL/H+++8DEBISQnh4\nOCEhIQwePJiVK1eWe6h6ejp4ev45gXHhHDiFCs+joL1vffX07buecgHJR+v0lI+ecgH95BMREcGj\njz5KeHg43333HRcvXqzwOZ5//nmuXbvGtWvX+OOPP2jUqJGlwTJ+/HicnJw4c+YMhw8fZseOHXzw\nwQeWY6OiomjVqhUXL15k9uzZTJkyhWvXrhEXF8cPP/xAREQEH330EXDzNqVBgwaRnp5OUlIS06ZN\nK3eMa9as4eOPP+bixYvk5uayZMmSEvf76quvLLmsX7+eJk2acN999wHQoUMHvLy8SvyZMmVKhV83\nW5A5carg25O76NHoPrXDEEIIIWzmvhYP8E3MNmC02qHYna5du/Lrr7+WuG327NnMnj27wufMyIB6\n9f4cgVPYzBFCCCEq46effiIpKYmhQ4fi7u5OSEgIX3zxBdOnT6/U+bKysnjooYeYPn06AwcO5MKF\nC3z77bekp6fj4uJCnTp1mD59OqtWreKJJ54AoGnTpvz9738HwGQysW7dOo4ePYqrqyuurq48++yz\nfPrpp0ycOBEnJyfi4+NJSkrC19eXXr16lSsug8HAhAkTCAwMBCA8PJytW7eWecypU6cYP348mzZt\nsjxh8tixY5V6XaqTjMSxoqxua0z+bh7reW/NBSMqTS9d89pO6qgPUkdte2bw/ZwzfUd2bn6Z+0kd\na0ZhE6dwBM7tI3EKaXH+BT2N1tJTLiD5aJ2e8tFTLmC7fAwG2/xUxieffMKAAQNwd3cH4JFHHqn0\nLVUAjz/+OG3btuW5554D4OzZs+Tl5dGkSRPLiJUnn3ySS5cuWY659YlXly9fJi8vjxYtWljWNW/e\n3PIUx8WLF6MoCt27d6d9+/aWETrl0bhxY8uf69SpQ2ZmZqn7ZmRk8NBDD/Hqq6+Wu1GkFhmJU0m/\nnUoiz3SZR/p0VDsUIYQQwma6tfHDOacZq3fs5+kHe6sdTq1X2MSh8HYqGYkjhBB2T62+e1ZWFuvX\nr8dsNtOkSRMAcnJySE9P59ixY3TocPPplOW95fe1117j9OnT7N2717KuWbNmODs7k5qaioNDyWNG\nbj2/t7c3JpOJ+Ph42rZtC9x8XLifnx8APj4+ltuTf/75Z/r160ffvn1p2bJlBbMvndls5rHHHuO+\n++5j0qRJRba1a9eOc+fOlXjcmDFjWLlyZbH11f10LxmJY0Vp3dYPdu6maW4YjkZ5Ce2B3r4FqK2k\njvogddS+O9wf5NNft5W5j9SxZhS7naq0kTgyJ0610lMuIPlonZ7y0VMuYP/5bN68GUdHR/744w+O\nHj3K0aNH+eOPP+jTp49lIl9FUco1uvPbb79lxYoV/Pe//8XZ2dmyvkmTJgwYMIAZM2Zw7do1zGYz\nZ86c4ccffyzxPEajkfDwcObMmUNmZiZnz57ljTfe4K9//SsAGzZsIDExEQBPT08MBkOpzaHblXeU\n6pw5c7hx4wbLli0rtu348eOW+XJu/7m1gZOfn092djYFBQXk5eWRnZ1tmWTZ1qQDUUk7Y3fR21du\npRJCCKE/j3UfxNHMHWqHUespCly9Ch4et9xOVcpIHLNSPR8UhRBC6EdERAQTJ07Ez8+PRo0a0ahR\nI3x8fJgyZQpffPEFBQUFGAyGIiNJShtVsn79ei5fvkzbtm0tT3V6+umnLdfJzc0lJCSE+vXr88gj\nj5CSkmI53+3nXLFiBa6urrRs2ZI+ffowevRoJk6cCMBvv/3GnXfeibu7Ow899BDLly/H39+/xJhu\nP+/teZSWy9q1a/n111/x8vKy5LJmzZoyXsniJk2aRN26dVm7di2vvvoqdevW5bPPPqvQOcrLoGjx\nJuoKKusZ6tXBbFZweqEFX4V/z+BubWrsukIIIURNSM/MxmthAy7MvEgjL9cavXZNv6drye25X7sG\njRvD9etwIfMCjZc2Zkn/JTzb69mix71iYGP4Roa3HV7TIZcpMjLS7r+1LqSnXEDy0To95aOnXKB8\n+dTm9zFRcaX9vpT1eyQjcSphz9EzKIYCBt7RWu1QhBBCCJvzdHPB7XpHvvjhgNqh1GqW+XD4cwRO\n4W1Vt5N/MAghhBC1gzRxrCjpnv/VkbvwN9+Hg0P1TlgkbEfmbtAHqaM+SB3tQ5u6Pfnmf/tK3S51\nrH5FmjhWbqfSIj19+66nXEDy0To95aOnXEB/+Qj7JE2cStibsJt7/GU+HCGEENoSlxdHjjmn2Poc\ncw5xeXEVOtc9gb04mlZ6E0dUv1ubOPY4sbEQQgghbE+aOFbc3m3NLzCT6LSbx++VJo49ka65Pkgd\n9UHqWH2aGpuyL3tfkUZOjjmHfdn7aGpsWqFzjerTk0vOv2A2l9wckDpWv5JupyptJI4Wb6fS02gt\nPeUCko/W6SkfPeUC+stH2Cdp4lTQ5n2/45jnSc+Q5mqHIoQQQhTh7OBMxq7e7EiJIsecQ445hx0p\nUWTs6o2zg7P1E9yiS1BTjPkefHfwVDVFK6yRkThCCCGEuJ00cay4vdu6/te9BDj0VScYUWnSNdcH\nqaM+SB2rV1gfE9vm9+Kr83v56vxets3vRVgfU6XO5av0YsP+km+pkjpWv4rMiaPFkTh6Gq2lp1xA\n8tE6PeWjp1xAf/kI+1TyIw5EqY5cOETXJt3UDkMIIYQokacnvDI/n5FPhQCw9p18PD0rNxlut8Y9\n2XduHzDBhhGK8rq1ieNgcCjyXyGEEELUTvJJwIrbu62J+Ye4r11ndYIRlSZdc32QOuqD1LF65Zhz\niMqOwsfog4/Rh6jsqBInOy6PYXf0Ir6g5JE4Usfijh49Ss+ePenQoQNDhw7l2rVrlm0LFy4kKCiI\n4OBgduzYUa7z3drEMRjKfiKmFm+n0tNoLT3lApKP1ukpHz3lAvrLR9gnaeJUQGZWLlmuJ3m4Zwe1\nQxFCCCGKKZwDZ9v8Xry70si7K41sm9/LMkdORf2ldwdy6pzj7IX0aohWfyZNmsTixYs5duwYDz/8\nMP/5z38AiI6OZt26dURHR7N9+3aefvppzGaz1fPd2sQRQgghtOrcuXO4u7tX+tZed3d34uPjbRpT\nWFgYH374oU3PqRXSxLHi1m7rV78ex/lGS+p71FEvIFEp0jXXB6mjPkgdq09yQTIFB+/ktQVGPD1v\n3lr12gIjBQfvJLkgucLnc3FyxPN6Nz7ds7/YNqljcTExMfTp0weAfv36sXHjRgC2bNnCqFGjMJlM\n+Pv7ExgYSFRUlNXzldTEKe0DckjDkKoFXw30NFpLT7mA5KN1espHT7mAfvL5+OOPCQ0NxdXVlSZN\nmvD000+TkZFR7uP9/f3ZvXu3Zbl58+Zcu3bN6qjR0ly7dg1/f/9KHVsag8FQ6Xi0Tpo4FfDdsUM0\nNcitVEIIIbQpwBTAsCEmPD3/XOfpCcOGmAgwBVTqnCEePdnxR8m3VImi2rVrx5YtWwDYsGEDCQkJ\nACQnJ+Pn52fZz8/Pj6SkJKvnK6mJk5mbWWw/Za5CBx8ZJSyEEMK6pUuX8uKLL7J06VKuXr3K/v37\nOXv2LP379ycvL69c5zAYDJqcUL8m5efnq3ZtaeJYcWu39VDyYTo07KJeMKLS9NI1r+2kjvogdbQv\n/dv04veM4k2c2lrH/v37ExoaWuznq6++YvXq1axcuZKuXbuSmZmJk5NTqecp7dvB8ePHM2/ePObN\nm8fx48uIi4v8c2McHNh3wLIYGRlZZESU1paXLVumqXiqslz4Z63EI/lIPvayfHtOasdTU/lo1dWr\nV5k3bx5vvfUWAwYMwGg00qJFC9avX098fDyfffYZAPPmzWPEiBGMHDkSDw8P7rjjDo4dOwbAmDFj\nOHfuHEOGDMHd3Z0lS5YQHx+Pg4OD5VbhsLAwXn75Ze666y7c3d0ZOnQoly9fZvTo0dSrV4/u3btz\n9uxZS1wODg7ExsaSnJyMu7u75adu3bo4OPzZsli9ejUhISHUr1+fQYMGce7cOcu277//nuDgYDw9\nPZk6dSqKopTaaPL09LRcw83NDQcHB8u5vv76azp16oSXlxd33XUX//vf/yzH+fv7s3jxYjp06IC7\nuzsFBQVs3bqVdu3a4eXlxT333MOJEycs+y9atAg/Pz88PDwIDg4uMnrpVpGRkSxbtszy/j9+/Piy\nC6noQE2l4fZMT+WNTXtq5FpCCCGEFpxKuKwwy0MpKDDXyPV08tFEOXnypNK9e3dFURRl4cKFysKF\nCy3bBg4cqOzfv7/YMbfn3rGjohw8eMv2eSirD62unoCrwZ49e9QOwWb0lIuiSD5ap6d89JSLopQv\nHy2/j3377beKo6OjUlBQUGzbuHHjlFGjRimKoihz585VTCaTsnHjRiU/P19ZsmSJEhAQoOTn5yuK\noij+/v7Krl27LMfGxcUpBoPBct6+ffsqQUFBSmxsrJKRkaGEhIQogYGByq5du5T8/Hxl7NixyoQJ\nEyzHGwwG5cyZM8ViGj16tPLYY48piqIomzdvVgIDA5UTJ04oBQUFyvz585VevXopiqIoly5dUtzd\n3S3xvvHGG4qjo6Py4YcfWn1NZs2apfTt21fJz89XDh06pDRq1EiJiopSzGaz8sknnyj+/v5Kbm6u\noiiK0qJFC6Vz585KYmKikp2drZw8eVJxdXVVdu7cqeTn5yuLFy9WAgMDldzcXOXEiRNKs2bNlPPn\nzyuKoihnz54tMcfSfl/K+j2SkThWFHZUc/MKyHQ9xsM9O6kbkKgUe+iMC+ukjvogdbQvQX4NcCio\nw8GYorf/SB2Lu3TpEgBms5n58+fz1FNPATB06FDWrl1Lbm4ucXFxxMTE0L17d6vnu/12KmWuwoTO\n9vO4dz2N1tJTLiD5aJ2e8tFTLmD/+Vy+fBlvb+8io1sKNW7cmMuXL1uWu3btyvDhwzEajcyYMYPs\n7Gz27y8+R15JDAYDEyZMICAgAA8PDwYPHkzr1q259957MRqNPPLIIxw+fLjMcyxatIiTJ0+yevVq\nAN59911mzZpFmzZtcHBwYNasWRw5coRz587xzTff0L59e0u806dPp3HjxlbjXLduHWvWrGHjxo0Y\njUbef/99Jk+eTLdu3TAYDIwdOxZnZ2dL3gaDgWnTpuHr64uzszPr1q3jwQcf5L777sNoNDJz5kyy\nsrL45ZdfMBqN5OTkcPz4cfLy8mjevDktW7Ys1+tnjaNNzlIL7Dwcg2OODy18PK3vLIQQQuiIR05b\ndh37g25t/KzvXIutWbOGt99+G4C//OUvluHQISEhhIeHExISgqOjIytXrizXZIuZmeDuXp0RCyGE\nUIPhFdtMuKvMrdi8NN7e3ly+fBmz2VyskXP+/HkaNmxoWb51LjeDwYCfnx/JycnlvpaPj4/lzy4u\nLjRq1KjIcmZm8TneCn377bcsX76cqKgonJ2dATh79izPPPMMzz77bJF9k5KSOH/+fJF4AZo1a1Zm\nfIcPH2bq1Kl8//33NGjQwHKNiIgIVqxYYdkvLy+vSN63nvf8+fM0b97csmwwGGjWrBlJSUncfffd\nllukjh8/zsCBA3n99ddp0qRJmXGVhzRxrCjstm47dAgfs0xqbK/svWsubpI66oPU0f74OrflQNwf\nQH/LOqljcdOmTWPatGklbps9ezazZ8+u0PmuXwc3N1tEpo7IyEjd/J7oKReQfLROT/noKRewXT4V\nbb7YSs+ePXF2dmbjxo088sgjlvWZmZls376dhQsXWtYVTs4PN0eYJiYm0rRpU6D0ed1KU5H9T548\nyfjx49m0aRO+vr6W9c2bN+fll19m1KhRxY6JiYkpEq+iKEWWb3fx4kUefvhhVq5cSceOHYtcY86c\nOWW+X9+aS9OmTYvMmVN43cK4R40axahRo7h27RqTJ0/mhRdeICIiwsorYJ3cTlVOUQmHCfGSSY2F\nEELUPsHebTmR+ofaYdQqBQWQkwN16qgdiRBCCL2oV68ec+fOZerUqXz33Xfk5eURHx9PeHg4zZo1\nY8yYMZZ9Dx48yKZNm8jPz2fZsmW4uLhw5513AjdH2Zw5c6bMaym3TCqslPNJVlevXuWhhx7i1Vdf\npVevXkW2PfnkkyxYsIDo6GgAMjIy2LBhAwD3338/x48ft8S7fPlyUlJSSrxGfn4+I0aM4K9//Ssj\nRowosu1vf/sb7777LlFRUSiKwvXr19m2bVupo4bCw8PZtm0bu3fvJi8vj6VLl+Li4kKvXr04deoU\nu3fvJicnB2dnZ1xcXDAajeV6HayRJo4Vhff8n7l+mN6BMhLHXsncDfogddQHqaP96R7QlqScok0c\nqWP1un4d6taFCn7ZqSl6+vZdT7mA5KN1espHT7mAPvJ57rnnWLBgATNnzqRevXrceeedtGjRgl27\ndmEymYCbo00eeugh1q1bR/369fn888/573//a2lCzJo1i/nz5+Pl5cXrr79uOeZWty4bDAar2wEO\nHTrEqVOn+Mc//mF5epSHhwcAw4YN44UXXmDkyJHUq1eP0NBQvvvuO+DmbWIbNmzgxRdfxNvbm9On\nT9O7d+8S809MTOSnn35i2bJlRa6RmJjIHXfcwapVq5gyZQr169cnKCiIiIiIUkcStW7dms8++4yp\nU6fSsGFDtm3bxldffYWjoyM5OTnMmjWLhg0b0qRJEy5fvlxkpFNVGJTytsU0rDqfUx8ZGcndd/fF\ncU4Djvwtmg4trU+QJLRHb0M5ayupoz5IHe3Pb6eS6P5hF8yLLljWVVcdq/M9XetuzT05Ge64A86f\nVzkoIYQQFaKH97FXXnmF06dP8+mnn6odiu6V9vtS1u+RjMSxIiwsjAMnEzGYnaSBY8fkH4z6IHXU\nB6mj/ekS2BTFmM2Z5DTLOqlj9crMtO/5cEBfo7X0lAtIPlqnp3z0lAvoL5/S2HsTSu+kiVMO+0/F\n4poTqHYYQgghhCocHAy4ZgWz47DMi1NT9NDEEUIIYZ9Kuv1JaIc0cayIjIzkfwlxeBsD1A5FVEFt\n6ZrrndRRH6SO9qmxsS37T//ZxJE6Vi97fzIV6Gu0lp5yAclH6/SUj55yAf3lU5q5c+fa5ClKonpI\nE6ccYi7H4ecmTRwhhBC1V5BXW45fkJE4NUVG4gghhBCiJNLEsSIsLIzEzHgCvaWJY89qS9dc76SO\n+iB1tE9dmrflXNafTRypY/XSQxNHT6O19JQLSD5ap6d89JQL6C8fYZ+kiVMOl/PjaO/nr3YYQggh\nhGrCQtpyxSgjcWpKZia4uqodhRBCCCG0Rpo4VkRGRnLdFEf3IBmJY8+ka64PUkd9kDreFJcXR445\np9j6HHMOcXlxKkRUtj6hAeS7pHA54wYgdaxuehiJo6fRWnrKBSQfrdNTPnrKBfSXj7BPjmoHoHVZ\nOXkUuFyka2s/tUMRQgihI02NTdmXvY+MXb0J62PC0/NmA2dHShQFB+8kYIjaERbl4uSI841Adh05\nxaN9O6kdju7poYkjhBC1kZeXlzzZSZSbl5dXhY+RkThWODUKwDGrKS5O0u+yZ9I11wepoz5IHW9y\ndnCml0svjHfs58XZBVxIu9nA2Ta/F2F9TGqHVyIPpRl/JCYBtbeOGzZsoF27dhiNRg4dOlRk28KF\nCwkKCiI4OJgdO3ZY1h88eJDQ0FCCgoJ45plnynUdPTydSk+jtfSUC0g+WqenfPSUC5Qvn7S0NBRF\nsYufPXv2qB5Dbc8nLS2twr+H0sSx4sDpONzy5VYqIYQQtufs4MyAxt3pN2cPI59K5fOZvXhtgRFP\nT7UjK5mnY2PiLp9XOwxVhYaGsmnTJu6+++4i66Ojo1m3bh3R0dFs376dp59+GkVRAHjqqaf48MMP\niYmJISYmhu3bt1u9jh5G4hw5ckTtEGxGT7mA5KN1espHT7mA5KN1esunNNLEsWL3D9/R0CRNHHun\nt28Baiupoz5IHe1XwzpNSMpIAWpvHYODg2ndunWx9Vu2bGHUqFGYTCb8/f0JDAzk119/5fz581y7\ndo3u3bsDMHbsWDZv3mz1Onpo4qSnp6sdgs3oKReQfLROT/noKReQfLROb/mURpo4ViRlnKeZu7/a\nYQghhNChwjlwdr56D2vfacDoJft4cXYBWv0M0sS9MReu1+6ROKVJTk7Gz+/P+fP8/PxISkoqtt7X\n15ekpCSr59NDE0cIIYQQticTvViR2chM64YyEsfe1da5G/RG6qgPUsebcsw57MveR8HB3v9/C5WR\nAebu8NI+IvfeybAh2psXp0X9JvxyPhLQdx379+9PSkpKsfULFixgyJCamXFaD48Yj4+PVzsEm9FT\nLiD5aJ2e8tFTLiD5aJ3e8imNNHGsSDPH06G5NHGEEELYVnJBMr1ceuF8S7OmcI6c5EGJgPbee/Iy\nrnAxK45JcyZhKDDw6KBH6RfWT+2wbO7777+v8DG+vr4kJCRYlhMTE/Hz88PX15fExMQi6319fUs8\nR6tWrYo80WTbtgqHoTmffPKJ2iHYjJ5yAclH6/SUj55yAclH6/SST8eOHUvdJk0cK66nnKRbkL/a\nYYgqioyM1PW3xrWF1FEfpI43BZQy35qzgzMBDtpr4OyM3MmRUz9idksjdGYoMT/FsOrbVfx+6nem\nPzFd7fBUUThxMcDQoUN57LHHmDFjBklJScTExNC9e3cMBgMeHh78+uuvdO/enU8//ZRp06aVeL7T\np0/XVOhCCCGEsFMyJ04Z8gvMKE4ZtPf3UTsUIYQQQlXrtq+j//OdMbtcwGy+2bzo9WIv4hrGsez9\nZSpHV3M2bdpEs2bN2L9/Pw888ACDBw8GICQkhPDwcEJCQhg8eDArV660jKpZuXIlkyZNIigoiMDA\nQAYNGqRmCkIIIYSwYwbl1q+R7JTBYKA60ki8dJVmb/ihLLhq83MLIYQQ9mTSnEmEzgxl+pKXmDv+\nFby8jZZtv//nd1YtWGWT61TXe7oQQgghhB7ISJwynL14BWOep9phCCGEEKozFNwcVWLM9uH8uVzL\n+tjIWNr5t1MrLLuwfft2goODCQoKYtGiRSXuM23aNIKCgujYsSOHDx+u0LE1rSr5+Pv706FDBzp3\n7mx57LrarOVz4sQJevbsiYuLC0uXLq3QsWqoSj5aq4+1XD7//HM6duxIhw4duOuuuzh27Fi5j1VD\nVfLRWm3Aej5btmyhY8eOdO7cmTvuuIPdu3eX+1g1VCUfrdWnvK/vgQMHcHR0ZOPGjRU+tiZVJR+t\n1cYmFB2orjTW/XBEMY0IqJZzi5q1Z88etUMQNiB11Aepo336fs/3Svjz4YrLtB7KsM/nKX/f+ndl\n5KyRyhvvvWHT6+jko4lFfn6+0qpVKyUuLk7Jzc1VOnbsqERHRxfZZ9u2bcrgwYMVRVGU/fv3Kz16\n9Cj3sTWtKvkoiqL4+/srqampNRpzWcqTz8WLF5UDBw4oc+bMUZYsWVKhY2taVfJRFG3Vpzy57Nu3\nT0lPT1cURVG+/fZbu/+7U1o+iqKt2ihK+fLJzMy0/PnYsWNKq1atyn1sTatKPoqirfqU9/XNz89X\n7rnnHuWBBx5QvvzyywodW5Oqko+iaKs2tiIjccpw/ko6JsVN7TCEEEII1fUL60fPVj1xzPUg9XIW\n54+cp4d/j1o7qXF5RUVFERgYiL+/PyaTiZEjR7Jly5Yi+2zdupVx48YB0KNHD9LT00lJSSnXsTWt\nsvlcuHDBsl3R0O1y5cmnYcOGdO3aFZPJVOFja1pV8imklfqUJ5eePXtSr1494ObvWuGT4Oy1NqXl\nU0grtYHy5ePq6mr5c2ZmJt7e3uU+tqZVJZ9CWqlPeV/fFStWMGLECBo2bFjhY2tSVfIppJXa2Io0\nccpwISMd92b+aochbECehKMPUkd9kDrar+lPTMejwJuzvyXTx6ePNHDKISkpiWbNmlmW/fz8SEpK\nKtc+ycnJVo+taVXJB27OedSvXz+6du3KqlW2mUepKsqTT3UcW12qGpOW6lPRXD788EPuv//+Sh1b\nE6qSD2irNlD+fDZv3kzbtm0ZPHgwy5cvr9CxNakq+YC26lPe/09v2bKFp556CsAyEb+91qa0fAr/\nrJXa2Io8YrwMl66l42r0UjsMIYQQQjPaNw8lPTtdGjjldOsHybLYy7eEVc3np59+omnTply6dIn+\n/fsTHBxMnz59bBlihZQ3H1sfW12qGtPPP/9MkyZNNFGfiuSyZ88eVq9ezc8//1zhY2tKVfIBbdUG\nyp/PsGHDGDZsGHv37mXMmDGcOHGimiOrnMrmc/LkSUBb9SlPLtOnT+e1116zPEyg8P/Z9vp3p7R8\nQFu1sRUZiVOGy5lXMCRnqh2GsIHIyEi1QxA2IHXUB6mj/doZuZPYU6c4kXScBx57gJ2RO9UOSfN8\nfX1JSEiwLCckJODn51fmPomJifj5+ZXr2JpW2Xx8fX0BaNq0KXDzlp6HH36YqKioGoi6dFV5je21\nPmVp0qQJoI36lDeXY8eO8be//Y2tW7fi5eVVoWNrUlXyAW3VBir+Gvfp04f8/HzS0tLw8/Oz2/oU\nKswnNTUV0FZ9ypPLwYMHGTlyJAEBAWzcuJGnn36arVu32u3fndLyAW3VxlakiVOGK1npuDrJnDhC\nCCHEzsidvLftPbw7eePo6UDAqABWfbuKZe8vUzs0TevatSsxMTHEx8eTm5vLunXrGDp0aJF9hg4d\nSkREBAD79+/H09MTHx+fch1b06qSz40bN7h27RoA169fZ8eOHYSGhtZ4DreqyGt8++gie61Podvz\n0Vp9ypPLuXPnGD58OJ999hmBgYEVOramVSUfrdUGypfPmTNnLL9nhw4dAqBBgwZ2W58WS+FxAAAg\nAElEQVTS8tFafcqTS2xsLHFxccTFxTFixAjeeecdhg4dare1KS0frdXGVuR2qjJk5KQTENxJ7TCE\nDcgcHPogddQHqaN9Wrd9Hb1n92bzFykUKHkE9Q4iqHcQsZGxLHt/mdxeVQpHR0feeustBg4cSEFB\nAY8//jht27blvffeA2Dy5Mncf//9fPPNNwQGBuLq6spHH31U5rFqqko+KSkpDB8+HID8/HxGjx7N\ngAEDVMsFypdPSkoK3bp14+rVqzg4OPDmm28SHR2Nm5ubXdantHwuXryoqfqUJ5d//etfXLlyxTIP\nhslkIioqym7/7pSWj73+3dm4cSMRERGYTCbc3NxYu3ZtmceqqSr5aK0+5cmloseqqSr5aK02tmJQ\n7OUm7DIU3vtma4EzxxPmH8YHU8bb/NxCCCGEPZk0ZxKhM0PZ9uUlfvn9F+bP+/NbsN//8zurFthm\nssDqek8XQgghhNADq7dTpaWlFfvJy8uridhUd73gCjdue7SfsE8yB4c+SB31QeponwwFNycWdHYy\nYiaHmJ9iAIiNjKWdfzs1QxNCCCGEqDWsNnG6dOmCt7c3QUFBBAUF4e3tTYsWLejSpQsHDx6siRhV\nk6WkU99N5sQRQgghHh30KPte24eTi5ECcgHY/5/9BFwKkFuphBBCCCFqiNUmTv/+/fn2229JTU0l\nNTWV7du38+CDD/L2229b7tfUqxxDOn36hKkdhrABmYNDH6SO+iB1tE/9wvrRs1VPrsalYjbkYMw3\n0sO/hzRwhBBCCCFqkNUmzi+//MLAgQMtywMGDOCXX36hZ8+e5ObmVmtwass3XqNhPXe1wxBCCCE0\nYfoT0/HL8qHAnCMjcIQQQgghVGC1idOkSRMWLVrE2bNniY+PZ/Hixfj4+FBQUICDg/6fUH7st1/V\nDkHYgMzBoQ9SR32QOtq3vw4Lx8GUT6fW8vRGIYQQQoiaZrUL88UXX5CQkMCwYcN4+OGHOXfuHGvW\nrKGgoID169fXRIxCCCGE0AiPui6YHbLVDkMIIYQQolZS9RHj27dvZ/r06RQUFDBp0iReeOGFYvtM\nmzaNb7/9lrp16/Lxxx/TuXPnYvtU1+NITTNb8v2YnYR1bGnzcwshhBD26GTCZdq+HYz5tcvVcn55\nxLgQQgghROkcre1w8eJFFi9eTHR0NFlZWcDND1i7d++u0oULCgqYMmUKO3fuxNfXl27dujF06FDa\ntm1r2eebb77h9OnTxMTE8Ouvv/LUU0+xf//+Kl1XCCGEEJVXz9UFxZildhhCCCGEELWS1dupRo8e\nTXBwMLGxscybNw9/f3+6du1a5QtHRUURGBiIv78/JpOJkSNHsmXLliL7bN26lXHjxgHQo0cP0tPT\nuXDhQpWvXRFHDkjTSA9kDg59kDrqQ22rY1xeHDnmnGLrc8w5xOXFqRBR1XRsNwAcb2AwdMWtXid2\nRu5UOyQhhBC1QHa23MorBJSjiZOamsqkSZNwcnKib9++fPTRR1UehQOQlJREs2bNLMt+fn4kJSVZ\n3ScxMbHK1xZCCCFqSlNjU17ffJILaX82ci6k5fD65pM0NTZVMbKKa9z4Li6mjAWMYFjI9atPMnTo\ndJa9v0zt0IQQdsLBwYGZM2dalpcsWcIrr7xSozG4ublZ/nzXXXdV+Xzz5s1j6dKlJW5bvnw5ISEh\njBkzpsrX0YqcnBz69u1rufXVbDYzY8YMm51/9+7d/OMf/2Dz5s1F1icmJvL999/b7DpC2CurTRwn\nJycAGjduzNdff82hQ4e4cuVKlS9sMBjKtd/t98WX9zhb6dTtzhq9nqgeYWFhaocgbEDqqA+1rY7O\nDs5MDGvD5FmXuJCWw4W0HCbPusTEsDY4OzirHV6FXLjgBkwGhwJwawdMJuuaL3EN46SRI4QoFycn\nJzZt2kRqaipQsc/2iqLYZM6sW6/5888/2/R8t3vnnXfYuXMnn376qWWdrfJQy+eff86DDz6IwWDg\nypUrLFu2jB9++MFm51+xYgWjR4+mU6eiT0EMDAwkOjqa69ev2+xaQtgjq02cOXPmkJ6eztKlS1my\nZAmTJk3ijTfeqPKFfX19SUhIsCwnJCTg5+dX5j6JiYn4+vqWeL7x48czb9485s2bx7Jly4oM14+M\njJRlWZZlWZZlWVZt2ae+M+8tbMjAv3zFwL98xXsLG+JT31kz8ZV3GdKA/1/Oqv//f06jZVhLjscf\nr9T5ly1bZnn/Hj9+PEIIfTOZTDzxxBMl/nvi9ddfJzQ0lNDQUN58800A4uPjadOmDePGjSM0NJS9\ne/cSHBzMhAkTaNOmDaNHj2bHjh3cddddtG7dmgMHDljO9/DDD9O1a1fat2/PqlWrSoyncFTOu+++\nS+fOnencuTMBAQHce++9AHz22Wf06NGDzp078+STT2I2mwF49dVXadOmDX369OHkyZMlnvvJJ58k\nNjaWQYMGsWzZsiJ5JCQklOvcjz32mGWUT3x8PKGhoZbz3zqKqaRzxcfH07ZtW5544gnat2/PwIED\ni9ySFBERQceOHenUqRNjx45l7ty5ltcdbv47cPny5cXyWrNmDQ899BAAXl5ezJgxAw8PjxJfg8rI\nzs6ma9eu+Pv7F9v24IMP8vnnn9vsWkLYJUUleXl5SsuWLZW4uDglJydH6dixoxIdHV1kn23btimD\nBw9WFEVRfvnlF6VHjx4lnqu60nB8NkB5Y9Xn1XJuUbP27NmjdgjCBqSO+lBb65iSmq2EhScpYeFJ\nSkpqttrhVIqrR0cFw9sKcw0K7FLgHaV+8zuUaf+dprzx3hs2uYaKH02EEDXAzc1NuXr1quLv769k\nZGQoS5YsUebNm6f89ttvSmhoqHLjxg0lMzNTadeunXL48GElLi5OcXBwUH799VdFURQlLi5OcXR0\nVH7//XfFbDYrd9xxhzJx4kRFURRly5YtyrBhwyzXSktLUxRFUW7cuKG0b9/esuzm5lYknlvl5eUp\nffr0Ub7++mslOjpaGTJkiJKfn68oiqI89dRTSkREhCXWrKws5erVq0pgYKCydOnSEvP19/dXUlNT\ni+VRmXPHxcUp7du3t5y78LUr7VyFr9XRo0cVRVGU8PBw5bPPPlMURVF+//13pXXr1kpqaqqiKIpy\n5coVJT4+XunSpYuiKIpSUFCgtGrVyvKaFcrPz1caN25cLM+wsLAS8y9JXl6esnr16hK3LVmyROnb\nt6+yefPmUo+fOnVqua8lhB5ZfTpVbGwsK1asID4+nvz8fODmkMGtW7dWqXnk6OjIW2+9xcCBAyko\nKODxxx+nbdu2vPfeewBMnjyZ+++/n2+++YbAwEBcXV356KOPqnRNIYQQQg2Ft1CtfachAJNnXbKM\nxrEnm7csYcjw6WTnG4AXqN9cYcDoIAIuBTD9ielqhyeEsBPu7u6MHTuW5cuXU6dOHeDmbU3Dhw+3\nLA8fPpy9e/cydOhQWrRoQffu3S3HBwQE0K5dOwDatWtHv379AGjfvj3x8fGW/d58803LvCoJCQnE\nxMQUOU9Jpk2bxn333ccDDzzAW2+9xcGDBy0PdcnOzqZx48akpaUxfPhwXFxccHFxYejQoeW6PerW\nPHbt2mWzc+/evbvIubKysmjcuDF33303AQEBdOjQAYA77rjD8vrs3r2b8PBw6tevD4Cnpyeenp40\naNCAI0eOkJKSQpcuXfDy8ipyrcuXL+Pu7m4117I4OjpiMpmIjY2lZcuWRbZ17doVs9lsGelTkoKC\ngipdXwh7Z7WJM2zYMCZNmsSQIUNwcLh595Wt5qUZPHgwgwcPLrJu8uTJRZbfeustm1yrsmROHH2o\nbXNw6JXUUR9qWx1zzDmsjjzJewvbWJo27y1syOrIk8wYZl/z4vQL68eMOeNZcGkBy9L+SmxkrDRw\nhBCVMn36dLp06cKECRMs625tViiKYvk3h6ura5FjnZ3//P+mg4ODZQ5PBwcHy5fOkZGR7Nq1i/37\n9+Pi4sI999xj9elGH3/8MQkJCaxcudKybty4cSxYsKDIfm+++WaxWMvj9jwqem5HR0fLLVdws1lT\nuE9J54qPjy/yWhmNRssxBoOhxLgnTZrERx99xIULF5g4cWKJeZQ339OnT5c559Cjjz7K2rVradWq\nlWXd8ePHi9wyVhJ5SpWo7azOiePi4sK0adO49957CQsLIywsjL59+9ZEbEIIIYTdSy5IZsawNkVG\n3fjUd2bGsDYkFySrGFnlPDxkFIYCZ37/z+/SwBFCVJqXlxfh4eF8+OGHGAwG+vTpw+bNm8nKyuL6\n9ets3ryZPn36VHoC4KtXr+Ll5YWLiwsnTpxg//79Ze5/8OBBli5dWmQC4vvuu48vv/ySS5cuAZCW\nlsa5c+e4++672bx5M9nZ2Vy7do2vv/66wl9yV+bcPj4+XLx4kbS0NHJycizbSjtXWe699142bNhA\nWlqa5Ri4OY/Q9u3b+e233xg4cGCx47y9vcnMzCxXjoGBgYwbN67En7p16xZr4AD8/vvvVps4hQML\nhKitrP4NmDp1KvPmzeOXX37h0KFDlp/a4siBsv+HL+xD0Yk5hb2SOupDbatjgCmgxNE2zg7OBJgC\nVIioaq7+H3v3HdfU9f4B/BMCuFBxAooKiiJUllhc1eIArYp1W6VV1K91VK2jdW9rtVXrqlpra1v3\nwlG1tUIBF04EFaGICggiTsDFTO7vD36mUsJOcjM+79crL7zJzTnP5enNTR/OOfd1JqRCZfh6+7KA\nQ0Sl9naxY9q0aXjy5AkAwM3NDX5+fvDw8ECbNm0wevRouLi4FHhPcdtv/t29e3fk5ubC0dERs2bN\nQtu2bYvc//vvv0dqaio6deoENzc3fPrpp3BwcMBXX30Fb29vuLi4wNvbGykpKXBzc8PgwYPh4uKC\nHj16FDlFS1lfAErc9rvvvqsoZJmYmGD+/Pnw8PCAt7c3HB0di2yrqN+Vo6Mj5syZg/fffx+urq6K\n276bmJigc+fOGDRokNLClFQqRYsWLRSLOb969QqrV69GdHQ01qxZU6I7R+Xm5iI1NbVAAQcAkpOT\nUb9+fQiCgJ07d+LgwYP5XhcEId8t4okMkUQoprw9c+ZMbN++HXZ2dvmqnsHBwWoPrqQKGw5YXiZf\nNMY3zZdg6v98Vd42aVZISIjBTeHQR8yjfmAedduR0JsYfGAQTvTeoJY8quuaTkSkixYtWgQzMzNM\nmzZNI/3J5XK4u7vjwIEDSossQN60s4cPH2LGjBkq6/fgwYPIzs7G2bNn8f3330MQBMybNw+1a9fG\n5Mn//sEgIiICMTExGDx4sMr6JtI1xa6Js3//fsTFxSnmmhoSqbwyGjV3FjsMUgH+D6N+YB71A/Oo\n215kZMJIqMg8EhFpiKrWIy1OVFQUfHx80K9fv0ILOAAwdOhQdO3aFdOnT1dZbCYmJrhz5w4mTpwI\nADhw4AAGDBigGFH0RmBgIKZOnaqSPol0VbFFHCcnJ6SmpsLCwkIT8WiVCvIaeJCaJnYYREREWuN5\nRgaMhYpih0FEZBAWLFigsb4cHR1x586dYvczNTXF6dOnVdq3j48PfHx8FNsDBw4ssM+NGzfQtWtX\nrolDBq/YMyA1NRXNmzeHt7e34uTq3bu3JmITXUWJOS6cV+0HFInD0Nbg0FfMo35gHnVXYEggfj24\nA1kZMvQc2hOBIYFih0RERAbCyckJrq6uYodBJLpiR+IsWrRIE3FopSpG5kh7VbLV14mIiPRZYEgg\nNh/fjBrtmsP0RiXY9rLFlj+3IPJWJBc4JiIiItKQYhc21gXqWgTReeZENK3ZFP7TJ6m8bSIiIl0y\neuZotJjRAod3peBq7FUsXtADAHA35K5KbzXOhY2JiIiIClfoSBwzM7NCF6qSSCR4/vy52oLSFtUr\nmCM1g2viEBERCdK8wkp2jgzGkn9vmd7YszEiV0SKFRYRERGRQSl0TZyXL1/ixYsXSh+GUMABgJqV\naiDp1g2xwyAV4Boc+oF51A/Mo26SyPL+sJOdnQupxASxZ2MB5I3EecfmHTFDIyIiIjIYXNq7CDUr\nm+NV7guxwyAiIhLd4O6DEbo8FK8zMmFqXAkAcGHFBZVOpSIiIiKiorGIU4Q6Vc0h1KskdhikAp6e\nnmKHQCrAPOoH5lE3dfXsirZN2uLxwyeoXqUapLlStLZpzQIOERERkQaxiFMEi+rmyBC4Jg4REREA\nTP50MnJzX0Mel80ROEREREQiYBGnCPVq1sDrpESxwyAV4Boc+oF51A/Mo+4KDAnEK8kTmBlLERAS\ngMCQQLFDIiIiIjIohd6dioD6Nc2RK30pdhhERESiCwwJxObjmyGrkgrn7jaolGWCLX9uQeStSI7I\nISIiItIQjsQpQoM65pA3zhQ7DFIBrsGhH5hH/cA86qa9J/bivdnvQVbhEaysTdH0vaZoN7Md4urE\nYc2Pa8QOTyvMmzcPLi4ucHV1RZcuXZCY+O9o3mXLlqFp06Zo3rw5Tp48KWKUREREpMtYxClC/drV\nANMXyJXJxQ6FiIhIVIJUwOuXcsD4NWpZSBXPN/ZsjJvxN0WMTHtMnz4d165dQ0REBPr06YNFixYB\nAKKiorB3715ERUXhxIkTGD9+PORyfrcgIiKi0mMRpwimJlIgtgpiEp+IHQqVE9fg0A/Mo35gHnWT\nRCbBg8QcSDLrwshIgtizsQCAuyF38Y7NOyJHpx2qVq2q+PfLly9Ru3ZtAMCRI0cwZMgQmJiYwMbG\nBnZ2drh06ZJYYRIREZEOYxGnGKbZlrh0K17sMIiIiEQ1uPtgnN8aDZOc2ornLqy4wLtU/cecOXPQ\nsGFD/Prrr5g1axYAIDk5GdbW1op9rK2tcf/+fbFCJCIiIh3GhY2LUaehMyIS4gB4iB0KlQPX4NAP\nzKN+YB51U1fPrlh+JBjGmfEAAGmuFK1tWhtcAcfLywspKSkFnv/666/h4+ODpUuXYunSpVi+fDkm\nT56MX375RWk7EomkwHP169dHcnKyymMmIiIi3eLi4oKIiAilr3EkTjGsKtni1qN4scMgIiI9E5cT\nhyx5VoHns+RZiMuJEyGi4tWxtoaZrDYiV0Qa7AicgIAA3Lhxo8DDx8cn335Dhw7F5cuXAeQVZ95e\n5DgpKQn169cv0HZycjIEQeCjBI8FCxaIHoOuxKvuvlXdfnnbK8/7S/tede9vyA9d+13xHNdce/p6\njqenC2jWTMC2bXnb165dK/S7CIs4xajyLBsJ6dr5ZZpKjmtw6AfmUT8wj3nqSeshNDMUh4/mIC0t\n77kseRZOplzCtRPWRb9ZJMkvUuBQ7x1s+XoLXJu5ih2O1omNjVX8+8iRI3BzcwMA9O7dG3v27EF2\ndjbi4uIQGxsLDw+O8C0PXRvRJ2a86u5b1e2Xt73yvL+07y3t/vHx8aXa35DxHNeevnmOl1xZz3FB\nAEaNAjp1Aj75pPj9WcQphk0tKzzKZhGHiIhUq4JRBbSr2A5S9wuYOVuGh8/yCjjHv2oHzw4mYoen\n1KPXD1CvmqXYYWitWbNmwcnJCa6urggJCcGqVasAAI6Ojhg0aBAcHR3xwQcfYOPGjUqnU1HJ8X/w\ntKdv/g8eqYOu/W55jmuuPX08x9euBe7eBdasKdn+EkEQBPWGpH4SiQTqOoxjF6PRb9+HyF51Sy3t\nExGRYcuSZ+HogzPYMNURFlIL/LBRCnNzsaNSznJKb4x0G4Wvh32otj7UeU3XdoZ87ESGICQkROeK\nE0RUcmU5x0NDgb59gQsXAFvbf58v6jsBR+IUo03zRsipfA+5MrnYoRAREYnqOZJgb1VP7DCIiHQS\nCzhE+q205/ijR8DgwcDPP+cv4BSHRZxiRIZfglG2OSLuPBA7FCoHrsGhH5hH/cA8/uvNGjiBSzth\nz6Za8F0ZipmzZYo1crRJrkyOjMq30MmlGQDmkYiotPi5SaTfSnOOy2SAr2/eGji9epWuHxZxSqBy\nti0u3eK6OEREpDpZ8iyEZoZCFtYGy7+WwqJmBXhbeqDn3FCEnMkRO7wCLv6TCKOc6mhYt7rYoRAR\nERHptEWL8go5ixeX/r1cE6cEGk0bgh52PbFp3Mdq64OIiAxLXE4c6knroYJRhXzPZ8mzkCxLhq1J\nKcbVasBXe07guwsr8WxNoFr7MeR1YQz52ImIiAzFn38Co0cDYWGAhYXyfYr6TmCsxtj0Rv3Ktrj1\nmCNxiIhIdQor0lQwqgBbI+0q4ADAlfhoWFd0EDsMIiIiIp2VkAD4+QEHDhRewCkOp1MVIyQkBHa1\nbJH4gkUcXcY5yPqBedQPzKNuinkWDcc6/xZxmEciotLh5yaRfivuHM/KAgYOBL78EujQoez9sIhT\nAo71bfA4J17sMIiIiESTnB0Nj8YciUNERERUFtOmAfXr5/0sD66JUwJBEXfgvbMzclckqK0PIiIi\nbWY0szYiPo2Ec2NLtfZjyOvCGPKxExER6bNdu4D584ErVwBz8+L3L+o7AUfilEBHJ1vITJ8h7kGq\n2KEQERFpXPS9x4BEhhY2ZZy8TURERGSgoqKAzz/PWwenJAWc4rCIU4yQkBAYS41Q9ZULDl2IEDsc\nKiPOQdYPzKN+YB51T2BENKpkOMDISKJ4jnkkIiodfm4S6Tdl5/jLl8CAAcA33wCurqrph0WcErKp\n6Ibgf66KHQYREZHGXbz7D6xMuB4OERERUUkJQt6txNu2BUaOVF27XBOnhEas24qQhCDErdqh1n6I\niIi0TctZU1CvWn0cm/WF2vsy5HVhDPnYiYiI9M2GDcCWLcD580ClSqV7L9fEUYHuLi3xQAgXOwwi\nIiKNu5cZjVYNORKHiIiIqCQuXgQWLcpbB6e0BZzisIhTjDfz2np6OCKrchyepL8WNyAqE85B1g/M\no35gHnVPmnE0PFvkL+Iwj0REpcPPTSL99uYcf/oUGDQI+PFHwM5O9f2wiFNCZpVMUemVAw6fvy52\nKERERBqT/PQFZBUeo51jI7FDISIiItJqcjnw8cd5RZw+fdTTB9fEKQX7L/+Hlpbu2D1tnNr7IiIi\n0gbfHQrGwlNz8XzNOY30Z8jrwhjysRMREemDJUuAgADg778BE5Oyt1PUdwLjsjdreFws3BCewjtU\nERGR4fgzMhT2VdqJHQYRERGRVgsIADZtAq5cKV8BpzicTlWMt+eudn2nJRJzubixLuIcZP3APOoH\n5lG3XHsWis5NCxZxmEciotLh5yaR/kpKAgYPDsHOnUC9eurti0WcUujTxhmvq0ThdWaO2KEQERGp\nXa5MjicVz8O3Y1uxQyEiIiLSStnZeWvg9O8PdOqk/v64Jk4pVZjqgO199mBQRxeN9EdERFRScTlx\nuHbCGp4dTGBunvdcWhoQciYHLt2TYGtiW6r2jl2MRt/9PZGz8q4aolXOkNeFMeRjJyIi0lWTJwN3\n7gBHjgBGKhomU9R3Ao7EKSUrSUucvM4pVUREpH3qSetB6n4BM2fLkJaWV8CZOVsGqfsF1JOWfmzv\ngYuhsBa4Hg4RERGRMvv3A7//DmzbproCTnFYxCnGf+eutqjthktJYeIEQ2XGOcj6gXnUD8yj+lQw\nqgBvSw/0nBuKseNlGDtehp5zQ+Ft6YEKRhVK3d75xPNoXU95EYd5JCIqHX5uEumXmBhg/Pi8Qk6N\nGpo7x1nEKaXeru0Rm3Va7DCIiIiUqmBUAR4VPfBQ9hAPZQ/hUbFsBRwAiJeFom8rjsQhIiIietur\nV3lr4CxdCri7a7ZvrolTSpnZuai0sBaixt6GQ8M6GumTiIiopN5Moeo6JxgAELi0E5Z/LVWskVNS\nd5Kfwe57G2QsfIaKpsZqiFQ5fVgXZtWqVfjyyy/x5MkT1KxZEwCwbNkybN26FVKpFOvWrYO3t3eB\n9+nDsRMREek7QQCGD8/792+/ARKJatvPkeXA1NiUa+KoSkVTY9TN6IAtASFih0JERFRAyJkc9Jwb\nCh+rDvCx6oCec0MRcqb0d1XcEXIBNV6/q9ECjj5ITExEQEAAGjVqpHguKioKe/fuRVRUFE6cOIHx\n48dDLpeLGCURERGV1ZYtQHg4sGmT6gs4ALDv5r4iX2cRpxjK5rW1teiCEzF/az4YKjPOQdYPzKN+\nYB7VJ0uehepdzirWwHmzRk71LmeRJc8qVVsB/4TineqFT6ViHpWbOnUqvv3223zPHTlyBEOGDIGJ\niQlsbGxgZ2eHS5cuiRQhEYmFn5tEui8sDJgzBzhwAKhSJf9rqjjHBUHAyvMri9yHRZwyGNquM27L\ngsQOg4iIKJ9kWTLaVWyXbw2cCkYV0K5iOyTLkkvVVtTz8/BqzvVwSuPIkSOwtraGs7NzvueTk5Nh\nbW2t2La2tsb9+/c1HR4RERGVw7NnwMCBeSNw7O3V08ffcX8jW5Zd5D4cI10MT0/PAs/1a++E3D9S\ncTE6Ea0dGmg+KCo1ZXkk3cM86gfmUX1sTWyVPl/BqAJsjZS/pkxmdi5Sq1zCJ55tCt3HUPPo5eWF\nlJSUAs8vXboUy5Ytw8mTJxXPFbW+jUQd46+JSKsZ6ucmkT6Qy/PWwfnwQ2DAAOX7qOIcXxG6Al+0\n/QIjMbLQfVjEKQNjqRHqZ3fCT0FBaO0wXOxwiIiIVMr/7HWYZljD1qqG2KFonYCAAKXPR0ZGIi4u\nDi4uLgCApKQkuLu74+LFi6hfvz4SExMV+yYlJaF+/fpK2/Hz84ONjQ0AwNzcHK6uroovhW+GaXOb\n29zmtqa2u3TpAmdnZzx//hz169fHH3/8ATMzM+zZswdDhw7FnDlzsGTJEoSEhCA9PR0DBgzA2LFj\n0b9/f9y7dw9bt25Feno6UlNT4eTkhKNHj5Y7vgULFqBatWpwd3cX/ffj6emJ3r17IzIyElu3boWn\npyemTp2qOE4jIyM8evQIhw4dKvD+5cuXY/To0ejfvz9cXV3x7Nkz1KpVC1lZWejRowd69eqlFcfH\n7bztnTuBp0894e+vnvYjIiIQkxSD0BuhqGtRF0US9IA6DyM4OFjp80NWbRIaTzl5ERUAACAASURB\nVBumtn5JtQrLI+kW5lE/MI/az3vJ14LTjAlF7qOuPOrJVxPBxsZGePr0qSAIgnDz5k3BxcVFyMrK\nEu7evSs0btxYkMvlBd6jL8dORMrp4vXPzMxM8e/hw4cLK1euFARBEOLi4oTGjRsLLVu2VLy+ceNG\nwdXVVZg4caIgCILg7e0t/P7774rXb9y4oaGoNcff318YOnSo4OTkpPT19evXC6NGjVL6mp+fn+Dv\n7y8IgiB4enoKYWFhgiAIwrNnz4QaNWoIOTk56gmaSi0oSBAsLQUhMbHo/cp7jn9y8BNh2ZllgiAU\n/Z2Aa+KU0Yj3uyBe8jfkct4KlIiI9Mv5J8cxyLWn2GHotLenSzk6OmLQoEFwdHTEBx98gI0bN3I6\nFRHpnLZt2+LOnTuK7cqVK8PBwQFhYWEAgH379mHQoEGKqaQpKSn5Rh22aNGiQJuCIGD8+PFwcHCA\nt7c3evbsCX9/fwDA4sWL4eHhAScnJ4wZM0bxHj8/P8U+NjY2WLhwIdzd3eHs7IyYmBjVH3ghXr58\nidWrV2Pu3LmFTp/dtWsXhgwZAiDvWCdMmIDmzZvDy8sLjx49yrfvmzaeP38OMzMzSKVS9R4AlUhy\nMuDrC2zbBry1vJ3KJaYn4titYxjbamyx+7KIU4w3Q5z+q4ubHSSQIOBqrGYDojIpLI+kW5hH/cA8\narfYpKd4Ufk6JvTyLHI/5rFod+/eRc2aNRXbs2fPxu3bt/HPP/+gW7duIkZGRGLR5c9NmUyGkydP\nFijEfPTRR9izZw+SkpIglUpRr149xWtTpkxB586d0aNHD6xZswbp6ekF2vX390dCQgKio6Oxfft2\nnD9/XlHknjhxIi5duoQbN24gIyMDx44dA5BXJH+zj0QiQZ06dRAWFoZx48Zh5cqCd/W5desW3Nzc\nCjxatmyJ58+fl/l3Mm/ePHzxxReoXLmy0tcTEhIQHx+Pzp07AwAOHTqEW7duITo6Gtu2bUNoaKhi\nX0EQ4OvrCxcXFzg4OGDevHks9muBnBxg8GBg3DjAy6v4/ctzjq+7uA5+rn4wr2he7L4s4pSRkZEE\njYTO+PUUbzVORET6Y82xv2CR4Qlzs4pih0JERCLLyMiAm5sbrKyskJiYiLFj848S6NatGwICArBn\nzx4MHjw432t+fn6Ijo7GwIEDERISgjZt2iA7O/9dd86dO4dBgwYBACwsLNCpUyfFa0FBQWjTpg2c\nnZ0RFBSEqKgopTH269cPANCyZUvEx8cXeL1Zs2YIDw8v8Lh69SqqVatW6t8JAERERODu3bv48MMP\nCx2Fs2fPHgwcOFBRjDlz5gyGDh0KiUQCKysrRXEHyCtG7dq1C9euXcO9e/ewYsUK3Lt3r0yxkerM\nng2YmeXdUlydXmS9wNaIrfi89ecl2p9FnGK8WXRImS62XXDmPm81rguKyiPpDuZRPzCP2u147HF0\naVj8VCrmkYiodHTxc7NSpUoIDw9HQkICKlasiCNHjuR73cTEBO7u7vjuu+8wcODAAgUNKysrjBgx\nAocPH4axsTFu3rxZoA9lRZDMzEx89tln8Pf3x/Xr1zF69GhkZmYqjbFChQoAAKlUitzc3AKvx8TE\nKB2J4+bmpnR0kDIymQyurq5wc3PDggULcOHCBVy5cgW2trbo0KEDbt26la8oAwB79+5VTKUq6lj/\nq3bt2mjZsiUuXrxYothIPQ4dAvbtA3bsAIxKWDUp6zm+7do2dLLphEbmjUq0P4s45TC6a2ckmwYj\nVyYXOxQiIqJyy8zOxT2TE5jcg+vhEBHRvypVqoR169Zhzpw5BQoR06ZNwzfffANz8/zTQE6cOIGc\nnBwAeevjPH36tMCd+dq3bw9/f38IgoCHDx8q/if4TcGmVq1aePnyJfbv31/m2O3t7ZWOxAkPD0f1\n6tVL1IZUKkVERATCw8OxaNEijB07Fvfv30dcXBzOnj2LZs2aISjo3z/u//PPP0hNTUWbNm0Uz3Xs\n2BF79+6FXC7HgwcPEBwcnK+PN7/X169fIzw8HHZ2dmU+Ziqf27eBMWOA/fuBWrXU25cgCPj+8veY\n6DGxxO/hLcaLUdS8tnftrWGcUwv7z1zDEE83zQVFpabLc5DpX8yjfmAetdfWkxdQIasB3rUvfuU+\n5pGIqHR08XPz7XVZXF1dYWdnh3379qFNmzaK1xwdHeHo6KjY/83zAQEBmDx5MipWzJueu3LlStSt\nm//Wyf3798fff/8NR0dHNGjQAC1btkT16tVhbm6O0aNHo0WLFrC0tETr1q1LFKsY68gIglCgX2Wj\ncPr27YugoCA4OjqiYcOGaNeuXb7XfX19UalSJWRlZWHEiBFwc+P/X4ohIwMYMABYsADw8Cjde8ty\njgfeDYSJkQk6NupY4vdIhJKM6dJyEomkREPT1KHV7GkwM62KkIULRemfiIhIVdrOmwUjiRHOLV4q\nWgxiXtPFZsjHTkSG69WrV6hSpQqePn2K1q1bIzQ0tECxh0hTRo3KK+Ts3AlooibYe3dv+DTzwWj3\n0fmeL+o7AadTFaO4eW2fdhiAC8/LPryPNEMX5yBTQcyjfmAetVfEq+MY1qZkU6mYRyKi0uHnpnK9\nevWCm5sbOnbsiPnz57OAQ6LZuhU4fx748ceyFXBKe47fTb2L80nn4evsW6r3cTpVOY30bo1xQen4\n/UIUerdxFDscIiKiMjkfdQ9ZpskY4VX8kHUiIiJV+e/aMERiiIgAZswATp/OuyOVJmy8vBEjXEeg\nsony29QXhtOpVMB11ueoVak2/p4/T7QYiIiIymPIqk24kHwOcat2iBqH2Nd0MRnysRMREYklLQ1o\n1QpYsgT4z1JGavMq+xUarWmEK59egY25TYHXOZ1Kzf7XbgBCUw+IHQYREVGZBSUdh499L7HDICIi\nItIYQQBGjAC6d9dcAQcAdkfuRvuG7ZUWcIrDIk4xSjKv7dPu7ZBt8gh/Xbml/oCoTDgHWT8wj/qB\nedQ+z55n4FGl05ji063E72EeiYhKh5+bRNpn1SogOTnvZ3mV5hzfcnULxriPKVM/LOKogKmJFI6S\nfvjuhL/YoRAREZXamt//RrXXrrC1qiF2KEREREQacfo0sHIlsG8fUKGC5vqNSInAgxcP0K1Jyf94\n9jauiaMi3x0KxtzTX+D16jBR4yAiIiotm2lD8a5lO+z/coLYoWjFNV0shnzsREREmpSSAri7Az//\nnDeVSpM+O/4Z6lapiwWeCwrdh2viaMD4nh2QaZqIkGt3xQ6FiIioxJIeP0dCheP46qOPxA6FiIiI\nSO1yc/PWvxk1SvMFnNc5r7Hn5h6MdBtZ5jZYxClGSee1VTQ1hr3QFyuOc0qVNuIcZP3APOoH5lG7\nzN/jD8sMT9g3qF2q9zGPRESlw89NIu0wfz5gbAwsKHwgTJmU5Bzfd3Mf2lq3RYPqDcrcD4s4KjT8\n3QE49Zh3qSIiIt1x6M52DG3xidhhEBEREand0aPAjh3Arl2AVKr5/rdc3YJP3T8tVxtcE0eFXmfm\nwGyhFc58Eob27zQSOxwiIqIiXYxORNvfXPFs7n2Ym1UUOxwA2nNNF4MhHzsREZG6xcUBrVsDhw8D\n7dppvv+ox1Hw2u6FhMkJMDYyLnJfromjIZUrmsBO9iFWHD0odihERETFWuC/E/by/lpTwCEiIiJS\nh8xMYMAAYPZscQo4APBbxG/4xPmTYgs4xWERpxilnbs6zH0gAh/uVk8wVGacg6wfmEf9wDxqB7lc\nQMiz7ZjYcViZ3s88qsfcbt1w+vhxscMgIjXg5yaReD7/HGjSJO+nqp0+fhxzu3WDn6troddxmVyG\nnTd24hPn8k9hL18JiAr4ol9XLAj7H/advoZBHV3EDoeIiEip3SHhkBllYGyP9mKHQm/56uRJzLlz\nBwDQsWdPkaMhIiLSfdu2ASEhwOXLgESi2rZPHz+Ovz7/HEvv3EEIAE9A6XU8OD4YdavUxTt13yl3\nn1wTRw08Fy7E04zHuPHNBrFDISIiUspt1mRUNa2G04sWix1KPtp2TdckiUSCN0c+r1s3LDlxQtR4\niIiIdN2NG0DnzkBQEODkpPr253brhq9Onizw/H+v48MPD4ebpRsmt5lconaL+j7EkThq8M3gUWi7\nzQWPUr9F3RpVxA6HiIgon8zsXFyT78Zfvc+KHQoVQvrXX6r/cyEREZGBcQLwGACc1dN+YQUVaWam\n4t+vsl/hyD9H8G3Xb1XSJ9fEKUZZ5q62dmiAOpntMWP7XtUHRGXCOcj6gXnUD8yj+L45cBKVs23h\n5d60zG0wj+ol69YNEAQ++OBDjx4hwcGix8AHH4byEOQCBg4QMOZT9faT6+2tuHaHvH0dr/jvTSMO\n/XMI7Ru2h4WZhUq+I7CIoyaftvwU++N+FDsMIiKiAraGbUcv67ItaEzqN7tJE3hNnCh2GERERDpr\n3Trg7l1g7Vr19uM9aRLmNGmS77n/Xse3X9+ukgWN3+CaOGqSmZ0Lszm22OVzjAscExGR1kh6/BwN\nvmuIW5/dQVPrWmKHU4A2XtM1RSKRYG63bvCaOJGLGhMREZVRaCjQty9w4QJga6v+/k4fP46A9esh\nzcyErGLFfNfx5BfJeGfjO0iemoxKJpVK3GZR34dYxFEjLnBMRETaZuh3PyAk8SSSVx8UOxSltPWa\nXhILFy7ETz/9hDp16gAAvv76a3zwwQcAgGXLlmHr1q2QSqVYt24dvN8afv2GLh87ERGRNnj8GGjZ\nEti4EfDxETsaYN3FdQh7EIbf+vxWqvcV9Z2A06mKUZ45/98MHoWbRrvxKPWV6gKiMuHaDfqBedQP\nzKN4cmVy+CetxfT3J5W7LeaxIIlEgqlTpyI8PBzh4eGKAk5UVBT27t2LqKgonDhxAuPHj4dcLhc5\nWiLSNH5uEqmXTAYMHQp8/LE4BRxl5/i+m/sw0HGgSvthEUeNuMAxERFpk+X7T8JIqIBJvd8XOxS9\npeyvZkeOHMGQIUNgYmICGxsb2NnZ4dKlSyJER0REpL8WLcor5CxZInYkee4/v4+ox1Hwauyl0nZZ\nxCmGp6dnud4/xn0M9sdtVk0wVGblzSNpB+ZRPzCP4llzcQ18m0yGkVH5b13NPCq3fv16uLi4YNSo\nUUhLSwMAJCcnw9raWrGPtbU17t+/L1aIRCQSfm4Sqc+ffwJbtwK7dgHGhd33W83+e477R/vDx94H\nFYwrqLQfkQ7PcMwd/AG+vjYOe09FYPD7rmKHQ0REBur3C1FINY3ASr/DYoei07y8vJCSklLg+aVL\nl2LcuHGYP38+AGDevHmYNm0afv75Z6XtSCTKC2l+fn6wsbEBAJibm8PV1VXxpfDNMG1uc5vb3OY2\nt7n97/aePSEYPx44csQTlpbix/Nme3/cfsxoP6NE+0dERCj++BMfH4+icGHjYoSEhCh+uWXVadEi\nPH79EJHfbFRNUFRqqsgjiY951A/Mozgcp49F3cqWCFm4UCXtqSuP+rK4b3x8PHx8fHDjxg0sX74c\nADBz5kwAQPfu3bFo0SK0bt0633v05diJSDle/4hULysL6NgRGDgQ+OILcWN5+xxPfpGMFhtb4MG0\nB2UaicOFjUX27UejEGW0BynPXoodChERGaDYpKf4R7oX64aNFTsUvfbgwQPFvw8dOgQnJycAQO/e\nvbFnzx5kZ2cjLi4OsbGx8PDwECtMIiIivTFtGlCvXt5PbeIf5Y9ezXqpfCoVwJE4GmM9dQDetXgP\nh2ZMFjsUIiIyMN2/Wo7baf/g9spfxQ6lWLpwTS/MsGHDEBERAYlEAltbW2zevBkWFhYA8m43vnXr\nVhgbG2Pt2rXo1q1bgffr8rETERFp2u7dwLx5wJUrgLm52NHk1+m3TpjSZgp62/cu0/uL+k7AIo6G\n7Pg7DMNPfIjUhXdQrYrqq3FERETKvM7MQdV5ttjR8yiGeLqJHU6xdOGari6GfOxERESlERUFvP8+\nEBAAuGrZ0rOpGalotKYRUr5IQWWTymVqg9OpyuHNokPl9XEXd9TIbYGJP21XSXtUOqrKI4mLedQP\nzKNmzdzmj6o5diov4DCPRESlw89NItV4+RIYMAD45hvtKuC8Ocf/uvMX3rd5v8wFnOKwiKNBCzrN\nxu573yA7RyZ2KEREZCC2Rq/BODdO5SUiIiLdJwjA6NFA27bAyJFiR6Pc0VtH0atpL7W1z+lUGiSX\nCzCf2gEj3pmItaMHix0OERHpuZ9OXMC4wKF4tSwWpiZSscMpEV25pquDIR87ERFRSWzYAGzZApw/\nD1SqJHY0BeXKc2Gx0gLXx15H/Wr1y9wOp1NpCSMjCaZ5zMaPUV9DLueXNCIiUq/FJ9egV51JOlPA\nISIiIirMpUvAokXAgQPaWcABgNDEUDSq3qhcBZzisIhTDFXPXZ330QcAJFi8+w+VtktF4xxk/cA8\n6gfmUTNOX49DUoWTWK+mscbMIxFR6fBzk6jsnj4FBg0CNm8G7OzEjka5kJAQHLt1DD7NfNTaD4s4\nGmZkJMGnjrOw6vJSjsYhIiK1GbVtMd4znQDrOtXEDoWIiIiozORy4OOPgYEDgb59xY6maEdvHUWv\nZupbDwfgmjiiyM6RwWxmc6zo+BM+//B9scMhIiI98+flGPT0fw9xU2LRyMJc7HBKRdeu6apkyMdO\nRERUmCVLgJMngaAgwMRE7GgKd+fZHbz3y3u4P/U+jCTlGy/DNXG0jKmJFEMbzcSSkGVih0JERHpo\n7J6F6Fplis4VcIiIiIjeFhgIbNoE7N2r3QUcAAi4G4BuTbqVu4BTHBZxiqGuuavfj/4EacY3sePv\nMLW0T/lxDrJ+YB71A/OoXgfOXEeicRC2fTZJrf0wj0REpcPPTaLSSUoCPvkE2LkTqFdP7GiKt/vo\nbnSx7aL2fljEEYlZJVP0rvMFZh7naBwiIlKdSQcXwKfGDFjWNBM7FCIiIqIyyc7OW8h40iSgUyex\noymeTC7D1QdX0aWx+os4XBNHRI9SX8FyeWP83i8EvVo7iB0OERHpuG2BVzDi5Id4PPc2albT0ntv\nFkNXr+mqYMjHTkRE9LYpU4Dbt4EjRwAjHRh6ciX5CoYfHo6b42+qpD2uiaOl6taogu7VpmHM3rli\nh0JERHpg2vF5GGgxR2cLOERERET79+cVb7Zt040CDgAE3g1EV9uuGulLR34l4lH33NVdn0/CQ6Mw\nfH/0jFr7MXScg6wfmEf9wDyqx6bj55AqjcaPY0dppD/mkYiodPi5SVS8mBhg/Pi8Qk6NGmJHU3KB\ndwNh8dhCI32xiCMyc7OKGGP3NWYGTUOuTC52OEREpKNmB8zDJw3no1qVCmKHQkRERFRqr14BAwYA\nX30FuLuLHU3JZeRk4OL9i3CxdNFIf1wTRwvkyuSo/kVrjGw+FevHDBE7HCIi0jGrDgZh1rkxeL4s\nGhVNjcUOp1x0/ZpeHoZ87EREZNgEARg+PO/fv/0GSCTixlMap+JPYXrgdFz830WVtck1cbScsdQI\nyzutwqbYWUh7mSl2OEREpEPkcgELT8/F6KaLdL6AQ0RERIZpyxbg6lVg0ybdKuAAwNl7Z/Feg/c0\n1p8oRZxnz57By8sLzZo1g7e3N9LS0pTuZ2NjA2dnZ7i5ucHDw0PDUebR1NzVib07oq7MDUPXrtNI\nf4aGc5D1A/OoH5hH1Vqy50/kGD3H6lGDNdov80hEVDr83CRSLiwMmDMH8PcHqlQRO5rSO5d4Du0b\nttfYOS5KEWf58uXw8vLCrVu30KVLFyxfvlzpfhKJBCEhIQgPD8elS5c0HKXm/eL7DU68+BYxiU/E\nDoWIiHRAZnYull+ZiUlOi2FqIhU7HCIiIqJSSU0FBg4ENm4E7O3Fjqb05IIc55POo32D9hrrU5Q1\ncZo3b45Tp07BwsICKSkp8PT0xD///FNgP1tbW1y5cgW1atUqsj19mkPuPHMiAOD68vUiR0JERNqu\n/7frEJx8BE++C4SRkY6NPS6EPl3TS8uQj52IiAyPXA58+CHQpAmwZo3Y0ZTNjYc30G9fP8ROjFVp\nu1q3Js7Dhw9hYZF3+y0LCws8fPhQ6X4SiQRdu3ZFq1atsGXLFk2GKJr9ny1AJHbjz8sxYodCRERa\n7PrdFBx6tgTbhnyvNwUcIiIiMhzffgs8fZr3U1edSzyH9xpqbj0cQI1FHC8vLzg5ORV4/P777/n2\nk0gkkBSyctG5c+cQHh6OP//8Exs2bMCZM2fUFW6hND131b5BbXSvOh0jd83QaL/6jnOQ9QPzqB+Y\nR9Xou3EGWklHoFdrB1H6Zx6JiEqHn5tE/woOBtauBfbtA0xNxY6m7M7eO6uYSqWpc1xtt7EICAgo\n9LU306gsLS3x4MED1K1bV+l+VlZWAIA6deqgb9++uHTpEjp06KB0Xz8/P9jY2AAAzM3N4erqCk9P\nTwD//jJ1ZXt8S1d8+Ot3WHvkFD7/8H3R49GH7YiICK2Kh9vcNuRtno/l3456aYx4yd/4xuNHhISE\niB5Pef97eHODg/j4eBAREZF+S04GfH2BbdsAa2uxoymfc4nnMLfjXI32KcqaONOnT0etWrUwY8YM\nLF++HGlpaQUWN379+jVkMhmqVq2KV69ewdvbGwsWLIC3t3eB9vRxDvnEzbux9Z9VSF95CcZS3gme\niIjyZGbnosYMd4x2mIV1n34kdjgqp4/X9JIy5GMnIu0klUrh7OwMmUwGOzs7bNu2DWZmZoiPj0fj\nxo0xZ84cLFmyBADw5MkTWFlZYezYsVi/fj1iYmIwZswYpKenIysrCx06dMDmzZvLHdOCBQvQsWNH\ndOnSpdxtlUd2djYmTJiAU6dOwcjICEuXLkW/fv0AAPv27cOiRYsgkUjg4uKCnTt3Fni/n58ffHx8\n0L9/f3h6eiIlJQWVKlVCVlYWpkyZgtGjR2v6kDQiJwfo0gXo2hWYP1/saMrnwYsHaLGpBZ58+aTQ\n2UVlpXVr4sycORMBAQFo1qwZgoKCMHPmTABAcnIyevbsCQBISUlBhw4d4OrqitatW6NXr15KCzj6\navX/BkMCI4z7YbvYoRARkRb5eO0mVBRqYc3/NHtLcSqZ9evXw8HBAS1atMCMGf9OjV62bBmaNm2K\n5s2b4+TJkyJGSERUcpUrV0Z4eDiuX7+OatWq5SvC2Nra4o8//lBs79+/Hy1atFD8z+ykSZMwbdo0\nhIeHIyoqChMnTlRJTIsWLRK9gAMAS5cuhaWlJWJiYhAdHY33338fABAbG4vly5cjNDQUkZGRWLt2\nrdL3v72siEQiwa5duxAeHo5z585hxowZyM3N1dixaNLs2Xm3EZ+r2cEranEl+Qrerfeuygs4xRGl\niFOzZk0EBgbi1q1bOHnyJMzNzQEA9erVw/HjxwEAjRs3RkREBCIiIhAZGYlZs2aJEapi6LemGUuN\nsLHnRvx8bzqi7z0WJQZ9IlYeSbWYR/3APJZdZNxDHHy6GL99JP5ixsxjQcHBwfj9999x/fp1REZG\n4osvvgAAREVFYe/evYiKisKJEycwfvx4yOVykaMlIk3T9c/Ntm3b4s6dO4rtypUrw8HBAWFhYQDy\nRp8MGjRIMXogJSUF9evXV+zfokWLAm0KgoDx48fDwcEB3t7e6NmzJ/z9/QEAixcvhoeHB5ycnDBm\nzBjFe/z8/BT72NjYYOHChXB3d4ezszNiYjR3c5hffvkl3/+jvrmj8pYtWzBhwgRUr14dAFC7dm3F\nPhMmTEDz5s3h5eWFR48e5Wvvze/t+fPnMDMzg1QqVfchaNyhQ3lr4OzYARjpwWSTK8lX4G7lrtjW\n1DmuB786/TWsayu0NP4EH6ydLHYoRESkBfpumImW0uHo3cZR7FBIiU2bNmHWrFkwMTEBkLemHwAc\nOXIEQ4YMgYmJCWxsbGBnZ4dLly6JGSoRUanIZDKcPHmyQCHmo48+wp49e5CUlASpVIp69eopXpsy\nZQo6d+6MHj16YM2aNUhPTy/Qrr+/PxISEhAdHY3t27fj/PnzilENEydOxKVLl3Djxg1kZGTg2LFj\nAAqOYKlTpw7CwsIwbtw4rFy5skAft27dgpubW4FHy5Yt8fz58zL9Pt6s5TZ37ly4u7tj0KBBiqJM\nbGwsYmJi8N5776Ft27b466+/AAAHDx7ErVu3EB0djW3btiE0NFTRniAI8PX1hYuLCxwcHDBv3jyN\nj+5Qt9u3gTFjgP37gf+vd+m8sAdhaFWvlcb7ZRGnGG8WXxTLH18swn3JBSzceVzUOHSd2Hkk1WAe\n9QPzWDab/wjFXUkAfp+6QOxQADCPysTGxuL06dNo06YNPD09ceXKFQB508Wt31q50draGvfv3xcr\nTCISiS5+bmZkZMDNzQ1WVlZITEzE2LFj873erVs3BAQEYM+ePRg8OP80Xz8/P0RHR2PgwIEICQlB\nmzZtkJ2dnW+fc+fOYdCgQQDybn7TqVMnxWtBQUFo06YNnJ2dERQUhKioKKUxvlmHpmXLlkoXyG/W\nrBnCw8MLPK5evYpq1aqV+ncCALm5uUhKSkL79u0RFhaGtm3bKkZf5uTk4Pbt2zh16hR2796N0aNH\nIz09HWfOnMHQoUMhkUhgZWWFzp07K9p7M53q2rVruHfvHlasWIF79+6VKTZtlJEBDBgALFgAeHiI\nHY1qCIKAK8lX8hVxNHWOs4ij5erWqIKlbTbjq4jxSH76QuxwiIhIBNk5MkwJ+Azj7VagXq2qYodj\n0Ly8vODk5FTg8fvvvyM3Nxepqam4cOECVqxYofgfE2X07S+sRKSfKlWqhPDwcCQkJKBixYo4cuRI\nvtdNTEzg7u6O7777DgMHDiywEKuVlRVGjBiBw4cPw9jYGDdv3izQh7LFWzMzM/HZZ5/B398f169f\nx+jRo5GZmak0xgoVKgDIW4RZ2ToyMTExSkfiuLm5KR0dpIxMJlO8Z+HChahduzYqV66sKCANGDAA\nV69eBQA0aNAAPj4+kEqlsLGxQbNmzRAbG1vosf5X7dq10bJlS1y8eLFE78N5pQAAIABJREFUsemC\nCRMABwdg/HixI1Gd5BfJkAtyWFfT/O211HaLcX3x9q1bxTJ9QFdsudAZ3VfMxvXl60WNRVdpQx6p\n/JhH/cA8lt7Ha3+AqVAda0drz92oDDWPAQEBhb62adMmxRf6d999F0ZGRnjy5Anq16+PxMRExX5J\nSUn51ol4m5+fH2xsbAAA5ubmcHV11apbwnOb29wu+3ZERAQmT56sNfGUZPuNixcvYtiwYZgzZw76\n9OmDCxcu4NWrVwCAadOmwcLCAhEREYr9Q0JCcOnSJUyZMgUmJiY4ePAgHjx4oPjse9N++/bt8dtv\nv6FRo0ZITU1FSEgIfH19ERgYiOzsbNSqVQsvX77Er7/+qogNACIjI1GzZs18/b29Hs7bx2Nvb4/V\nq1crPb4369YU9/s4c+YMVq9ene/11q1bIzg4GJ06dcKGDRsUU2j79OmD1atXw8bGBi1atMCtW7fw\n4MED1KxZE3v37sXw4cNx6NAhBAQEwNfXF0De9KzLly+jZcuWeP36NUJDQ/Mt3qwt/z2UZXvrViAw\nMAQ//ABIJOLHo6rts/fOolW9VpBIJPnOF09PzzJ/PryZpqdsRFk+gh5Q52EEBwerre3SuH3/qWD0\npaXww/FzYoeik7Qlj1Q+zKN+YB5L59qdB4JkRm3h4NkbYoeSj7ryqMtfTX744Qdh/vz5giAIQkxM\njNCgQQNBEATh5s2bgouLi5CVlSXcvXtXaNy4sSCXywu8X5ePnYiKp4vXv6pVq+bb9vHxEfbs2SPE\nx8cLTk5OBfb/9ddfhYkTJwqCIAhTp04V7O3tBRcXF8HFxUXYuXNngf3lcrkwduxYoXnz5oKXl5fQ\ntWtXITAwUBAEQZg7d67QpEkToX379sLIkSOFRYsWCYIgCH5+foK/v78gCIJgY2MjPH36VBAEQbhy\n5YrQqVMn1R18MRISEoSOHTsKzs7OQteuXYXExETFa1OnThUcHR0FJycnYe/evYrnJ0yYINjb2wte\nXl5Cz549Fcfh6ekp2NvbC66uroKDg4OwbNkyjR2HOoWHC0Lt2oJw86bYkajewuCFwuzA2fmeU+U5\nXtR3Asn/76DTirqHuj6Z8tM+bIxaiMdLwlGtSgWxwyEiIjWTywVYTesNu6rOOLd4qdjhaIQuX9Nz\ncnIwcuRIREREwNTUFKtWrVL8le3rr7/G1q1bYWxsjLVr16Jbt24F3q/Lx05EVFavXr1ClSpV8PTp\nU7Ru3RqhoaGoW7eu2GFROaWnA+7uwOLFwNChYkejegP3D0R/h/74qIV6RkkX9Z2ARRwdIpcLqD+t\nD+yruyFk4UKxwyEiIjXzW/cz9sV9j0dfX4RZJVOxw9EIQ7mmK2PIx05EhqtTp05IS0tDdnY2ZsyY\ngWHDhokdEpWTIAD9+gH16gEbNogdjXo0/745Dgw6gBZ1WxS/cxkU9Z2ACxsX47/zQcVkZCTB72M3\n4HTmBhwJLbgoGBVOm/JIZcc86gfmsWROX4/DtuSZ2Dlgu1YWcJhHIqLS4eemcsHBwQgPD8fNmzdZ\nwNETq1YBycnAd9+JHYl6ZOZmIiE9Ac1qNcv3vKbOcRZxdMy79tb4qO4S+O4fhewcmdjhEBGRGmTn\nyOCzdTh6VJ+Bvu3V8xceIiIiIlU7cwZYsQLYtw+ooKcrgEQ/joZdTTuYSsX5IxunU+mgXJkctaZ5\nomu9AfCfPknscIiISMV8lq3C6YdH8HhFMExNpGKHo1GGdk1/myEfOxER6b6UFKBVK2DLFuCDD8SO\nRn22X9uOP27/gd39d6utD06n0jPGUiPs8d2CQ88W4/T1OLHDISIiFTp0LhLH05fj6MjfDK6AQ0RE\nRLopNzdvAeORI/W7gAMANx7dQIs64o2UZhGnGNo6d/WDd+3hYz4bPX4ZgteZOWKHo/W0NY9UOsyj\nfmAeC/cyIxu+Bz7BsHrL0dHZVuxwisQ8EhGVDj83SZ/Nnw9IpcCCBeL0nyvPxaX7l7Dj+g58d/47\n/HDlBxy7dQzpmekq7yvyUaTSBY25Jg4Vy//LyaiMWuj01VyxQyEiIhXovmwxqsIaWyeMFDsUIiIi\nohI5dgzYvh3YtSuvkKMpgiDg3L1zGH54OGp/Wxujfh+FP2L/QGJ6IsIfhGPtxbWwXm2ND/d8iMv3\nL6us35inMWheu7nK2istromj46LvPUaL9W5Y5P4T5n7UXexwiIiojH46cQFjgvsgfEwEnBtbih2O\naAz5mm7Ix05ERLopLg5o0wY4dAho105z/V5MuoiZf89E0vMkjGs1DkOdhsLSrOD3p9c5r7E1fCuW\nnV2G4S7DsbjTYhgbGZe532xZNqouq4oXs16odWFjromjxxwa1sGq9juw4OoIRNx5IHY4RERUBo9S\nX2F8wDBMtd9g0AUcVUpISMCTJ08AAOfPn8eKFStw6NAhkaMiIiLSH5mZwIABwKxZmivgvMx+iQl/\nTEC/ff3wsdPHiP4sGlPbTlVawAGAyiaVMcFjAiLGROBK8hX03t0b2bLsMvcfnxYP62rWot2ZCmAR\np1i6MHd1ch9PdKg8Bp3Xf8zbjhdCF/JIxWMe9QPzWFCX5dPRQNIGK0b2FzuUEtPmPC5evBidO3dG\n69atMXfuXEyZMgVPnz7FunXr8Pnnn4sdHhEZKG3+3CQqi8mTgcaNAU1dWm88vAG3zW54kf0CkeMi\nMarlqBKPqqlTpQ7+8P0DxkbG8DvsB7kgL1MMsU9jYVfTTulrmjrHyz6OiLTKidlzYTm9C3ouX46A\neXPEDoeIiEpo0a4/EC0/ijtfXhc7FL2xe/duREVF4fXr12jYsCFSUlJQpUoV5ObmwsXFRezwiIhI\nywmCAJkgQ44sB9mybOTIcxSjN0yMTGAqNVU8pEaGeSfJ7duB4GDg8mVAIlF/fweiDmDc8XFY3W01\nPnb+uExtGBsZY++AveiyrQtWhq7E9PbTS93G7We30bRm0zL1rypcE0ePXI5JQputrbC+wwGM7/We\n2OEQEVExQq7dReddbbHuvQOY4NNB7HC0giqu6W5ubggPDy/wb2Xb2oTfZ4iIVEcQBDzPeo6Ulyl4\n+Oph3s+XD/Ho1SOkZqYiPSsd6Znpip9pmWlIz0rH65zXyJZlw0hiBFOpqaJoYyI1AYB8hZ2s3CwA\ngKnUFOYVzVGrci3UrFQTtSrVyntUrgUrMys0Mm8EG3MbNKreCDUr1YREE1UPNbpxA+jcGQgKApyc\n1N/fpsubsPTMUhwdchRuVm7lbi8hLQGttrTCab/TcKjjUKr3TvhjAprWbIrP26h3+FFR3wk4EkeP\nvGtvjTlOP2HSqaHo1jICTerVFDskIiIqxJP01+jxa3/0tZrDAo6Kpaen4+DBgxAEId+/37ymzbpN\nmoRJffqgZ+fOYodCRKS1BEFAWmYa7qXfQ0J6AhLSEvJ+picgMT1RUbgxMTKBhZkFLM0sYVEl72fd\nKnVhX8se1StWR/UK1Qv8rGJaBSZGJiUeYSOTy5Aly0JaZhqeZTzD09dP8TTjqeJnXFocQhJCkJCW\ngPi0eEiNpHCs44h36rwDxzqOaFWvFdws3VDJpJKaf2uq8fx53jo4q1ZppoCzMnQlNl3ZhNMjTqNx\njcYqabOReSPM7TAXk05MQsAnAaV6b+yzWHxg90G+544HBWHd4cPIkkhQQRDUfh3nSJxihISEwNPT\nUy1tq4v77KlIzriD+6sOw8hIt6u8qqKLeaSCmEf9wDwCcrmAptOHQybIcHfFDp38rFZXHlVxTffz\n8yvyr5y//PJLudpXF4lEAgQHo8nOnVg7ZAgLOUR6hte/0pELciSmJyL2WSxin8bm/XwWi/i0eCSk\nJUAikaBR9UZoWL0hGlVvhEbmjdCoeiM0qN4AVmZWsDCzQGWTymIfRj6CIODRq0eIehyFm49vIvJR\nJC4nX0b042g41nFEuwbt0LVxV3jaeKJahWpih1uAIACDBwM1agCbN6u/v42XN2Jl6EqcGXEG9avV\nV2nbObIcOGxwwBafLehk26nE72uyrgn+9P0TzWo1A5BXwPl8927c8fUFIiIAV1eVXMc5EsfABM9Z\nBqu57TFo1fc48OVEscMhIqL/+Oi7jUiWXUPC/FCdLOBoOydN/GlQje74+mL9oUMs4hCRQXiW8Qw3\nH91E9JPofMWau6l3UatSLTSt1RRNa+Y9OjbqCFtzWzQybwTziuZih15qEokEFmYWsDCzyFc4yMjJ\nwNUHV3H23lmsu7gOvgd94WbpBp9mPhj4zkDYmNuIF/Rb1q0D7twBzp1Tf197Ivdg2dllOOV3SuUF\nHAAwkZpgbse5WH5ueYmLONmybCQ9T8qXj3WHD+cVcN6i7us4R+Loqb/Db8Nrb1ts9/4Lvp1bih0O\nERH9v81/hGLcqb4IHBKKzq5NxA5H66jimr5w4UJIJBLExMTg8uXL6N27NwDg6NGj8PDwwI4dO1QR\nqsq9GYkDAPj1V8DPT8xwiIiIqDiFXK/fP3QIIWvXlrlZjsQxQF3c7PDZpXXwOz4IHs0uoql1LbFD\nIiIyeNfvpmB88CDMd93KAo4aLVy4EADQoUMHXL16FVWrVlU836NHDxEjK7lu1avjBKddEJEOysrN\nws3HN3Et5RoiUiIQ+TgSUY+j8DrnNRzrOMKxtiPeqfuOYk0Y62rWOr/QrzrlyHIQHB+M7de349it\nY+ht3xvjWo1D6/qtNfZ7e/wYcHcHNmwAfHzU21fyi2R4bPHAxp4b0du+t3o7AzDn7znIzM3Eqm6r\nit03JD4EC0IW4JTfKcVz3Q4exEkl+1ZUYYz/ZaTGtvWCpu71rg7rxwyBa8W+8Fg5AC8zssUOR1S6\nnEf6F/OoHww1j68zc9Bh3SB0NBuNhb49xQ6n3HQhj48ePYKJiYli28TEBI8ePRIxopJpsmMHJn74\nodhhEJGK6cLnZmk9evUIAXcCsDJ0JT4++DGcNjmhxjc1MPzwcATFB6FB9QaY3m46Lv3vEtJmpOH8\nqPP4+cOfMbXtVHSz64YG1RuwgFMME6kJvJt4Y3vf7YidGIsWdVrA96Av3v/1fQTFBal9RopMBgwd\nCvj6qr+AI5PLMNR/KMa4j9FIAQcAhrkMw84bO5Erzy1236TnSahfNf/Urkl9+qDJzp15GxERANR/\nHedIHD13buFyNJreD63mf4aob37k2gtERCJpv+hLVJRUQ8DceWKHYjCGDRsGDw8P9OvXD4Ig4PDh\nwxg+fLjYYRWp26FDmDh0KNfDISKtIggC4tPiEfYgDGHJYbj2MG+UTUZuBlwsXOBq6Youtl0wte1U\nONZxREVjdY5DMFy1K9fGl+2/xJS2U7D7xm6MPTYWFmYWWNZlGd5r+J5a+ly8GMjNBZYsUUvz+Sw9\nsxRGEiPM7jBb/Z39P/va9rCuZo2z987C08azyH2TnifBupp1vufeXK/XHzqElKQkWMbFqf06zjVx\nDEDKs5ewXdIe3hbDcWTmVLHDISIyOJ/9sAs/xs7HrS8uw9aqhtjhaDVVX9PDwsJw5swZSCQSdOzY\nEW5ubiprW9X4fYaItIEgCLiXfg9hD8JwJfkKriRfQdiDMFQyrgT3eu5oadkSblZucLFwQcPqDTmS\nRkS58lzsvrEbs4Nmw9PGEyu8VsDSzFJl7Z84Afzvf8CVK4Cl6ppVKjQxFP329kPYp2FqWci4KEtO\nLcHTjKdY031NkftN/GMimtZqikmtJ6k9pqK+E7CIYyDOR93De7+2wRznH7H4415ih0NEZDAOnLmO\nQce7YF/PvzGgg7PY4Wg9Q76mG/KxE5E4BEFA0vOkAgUbYyNjtKrXCq2sWsG9njvcrdxhVdVK7HCp\nEC+zX2LJqSX4OfxnLO60GONajSt3ce3ePeDdd4H9+4GOHVUUaCGycrPgutkViz0XY+A7A9XbmRLX\nUq6h375+uDPpTpH79d3bFx87fYz+jv3VHlNR3wm4Jk4x9GXualvHhtjc+SC+ihwB/7M3xA5H4/Ql\nj4aOedQPhpTHuAepGHK4H8bZrNW7Ao4h5ZGISBW04XMzPTMdgXcDsfT0Uvjs9oHlKku4/+iOLVe3\nwEhihPHvjkfEmAgkT03G0SFHscBzAXo168UCjpYzMzXDN17f4MyIM9gavhW99/TG41ePy9xeVhYw\ncCDwxRfqL+AAwNdnvoZ9LXsMcByg/s6UcLZwxsvsl4hPiy9yP2XTqd6mqXOca+IYkP91b4Pw+LX4\n6HBvRFhfxDs2dcUOiYhIb6W9zITbN33gUvlDbBg7VOxwiIjIwOTKcxH5KBIXky7iwv0LuJh0EffS\n78HNyg1t6rfBcJfh2NBjAxpU4+LC+sKhjgNCR4VibtBcuG12w/+xd99xVdX/A8df9wIKKFNEQRBQ\ncKa5FyogKmqOLDVHmivLzJw5MnPjHlmZZTnQcmWp1c+ViFtxp+KWIeBCAUXZ9/z+8Nv9xtcBKHDX\n+/l43Ieee+455314c8+5vO9nrO68mgCvgHzvZ/RocHV98m9hi7gbwZLjSzj9wWmd/R6qVCoCPAPY\nE7mHfrX7Pfd1uRVxiop0pzJBzSd9wankv7gxPRT7kjLomBBCFLSMzGwqjH0HNWZcn7sWczNp+JpX\npnxPN+VzF0K8utgHsRyNPcrRuKMciT3CqVuncLd1p6FbQxqWe/J4zfk1LMwsct+ZMHi7ru2i92+9\nCQ4Mpn/t/nnebt06+PzzJ+Pg2NsXYoD/EbQmiDd83iiScWZe5Lvj33E49jAr31z5zPWZ2ZmUCC7B\n4wmPMVcXflsYGRNH5JCVrcHr0+6Yq4pxbe5qmbFKCCEKkEajUOuzT7iRdo7oGduxLVFc1yEZFFO+\np5vyuQsh8ic9K52TN09y6MYhDsUe4kjsETKzM7UFm0ZujajvWh87Sztdhyp06FLCJdr93I6er/Vk\nasDUXFu6RESAnx/s2gW1ahV+fNuvbmfY9mGcG3xO58XF07dO03NTTyKGRDxzfUxyDE1+bELsyNgi\niUfGxHkF+tB3taCZm6k5NWkldzSXaDNjpq7DKRLGmEdTJHk0Dsaex3bBs7mSsZczn2026gKOsefx\nZXTv3p3atWtTu3ZtvLy8csyENXPmTHx8fKhSpQo7d+7UYZRCCF15levm7ZTbbL64mTG7xtB0eVNK\nzSnFx9s+Jiopirervs2Bfge4Pfo2v/f4nc+bf07LCi2lgCOo7FSZwwMOs+v6LgZuHYhG0Tz3tSkp\n0KULzJ5dNAWcLE0Wo3eOZk7LOTov4AC85vwaMckxJKclP3N9XrpSyZg4olA52Vlz8OOt1FvakE+X\nV2Zu/8IfYVsIIYzdoG9C+CtpKUc+PEh5Z/nwbGrWrVun/f/o0aOx/0879IiICNavX09ERARxcXG0\nbNmSy5cvo1bLd2lCiKdla7KJuBuhbWVzMOYg91Lv0ditMU3cmzA1YCoNyjWgZLGSug5VGADnEs7s\n7rObNj+1Ydi2YSxuu/ipFjmKAoMGQaNG0D/vPa9eSciZEEpZl6Jj5Y5Fc8BcmKvNqe1Sm+Pxxwms\nEPjU+rgHcUU+9fnzSHcqE7c27BS9tgXxTfPfGPyGr67DEUIIgzV93XYmnerLlrf20L5hVV2HY7CM\n4Z6uKAoeHh7s2bOHihUrMnPmTNRqNWPHjgWgTZs2TJ48mUaNGuXYzhjOXQiRfw/SHxAeF87BmIMc\nij3E0dijOJdwxre8L03cmtDEvQlVS1dFrZLCr3h5yWnJtAhpQZuKbZgROCPHuiVL4Lvv4MgRsLIq\n/FiyNFlU/royKzutpJlHs8I/YB4N/b+hVHCowIjGI55at/DwQqKSoviy7ZdFEsuLPhNISxwT18O/\nNtdvr2bIvs7YWm2nV4s6ug5JCCEMzprdJ/jiVB++9dssBRzB/v37KVOmDBUrVgQgPj4+R8HGzc2N\nuLg4XYUnhNCxmw9vsj9mP/uj97M/Zj9X7l+hjksdfN19GVJ/CGs6r6F0idK6DlMYGTtLO3a8uwO/\nlX44WjkyqskoAMLDYfJkOHSoaAo4AOvPraecTTm9KuAAVHeuzrG4Y89cdzPlJi42LkUc0bNJEScX\nYWFh+Pv76zqMQjXhnSBS0r6nz452lLTcTacm1XUdUoEzhTyaAsmjcTC2PIaevsZ7Ozow7rVlfNCu\nia7DKTLGlse8atWqFbdu3Xrq+eDgYDp06ADA2rVr6dnzxdPKP29wyb59++Lp6QmAvb09tWrV0v6c\n/+lrL8uyLMuGs+zn58e1xGss27SMPUf2kFgrkXuP71E5pTI1nWvy7ZvfUte1Lof2H3qyfWX9il+W\njW95x7s7eH3s62Rez+T9tuPo1g2GDg0jNha8vQv/+BpFw4TlE/io/kf8Q19+Pq9VeI2Vp1c+c/3Z\no2fp0q7LC7f/57mXOf7p06dJSkoCICoqiheR7lS5CDOhD6lDlv7M0mtj2NkzjMDa3roOp0CZUh6N\nmeTROBhTHs9H3aH2V750dRvNTyM+0HU4Raqw8mjoXYqysrJwc3Pj5MmTuLq6AjBr1iwAxo0bBzzp\nTjVlyhQaNmyYY1tDP3chxJPxbM7dOce+6H1PWtvE7EetUtOsfDPKJpRlQOcBVHeuLl2jhE4dunGI\nN9e9SbVDR6lX0Yt584ru2L9e+JXg/cEce/9YrrNlFbXE1EQ8FnmQPC75qdg6rO3A+3Xef+EYPgX5\n2UimGBd59t6XP/DTjens7bcX3+oeug5HCCH01q37KXhPa0Ed2zbsmzJV1+EYDUO/p2/fvp3Zs2ez\nZ88e7XMRERH07NmT8PBw7cDGV69efeoDoqGfuxCmKD0rnePxx7UFm0M3DuFcwplm5Zs9eXg0w8ve\nS+/+WBWi7dQFHEzawK3g/VhbFt3sUH4r/RhSfwjdqncrsmPmR9l5ZTk+6PhTM1E1+qERC4IW0MS9\naFpdy5g4Is9WDRvIg9kpBCxvSfhH+6hVUT/6/QkhhD558CidmtO6Uc68JmGTpug6HKFH1q9fT48e\nPXI8V61aNbp160a1atUwNzdnyZIl8gedEAbqYfpDDsce1ra0ORF/gkqlKtHcozn9a/VnecfllClZ\nRtdhCvFCf/0Fp5cOp/70v5h9eDpTAorms0zE3Qgu37tM5yqdi+R4L6OCQwUiEyOfKuLcfXyX0tb6\nMVaVtMTJhTE1+8+PVtNmsD9xLWdGhFHZ3UnX4bwyU82jsZE8GgdDz2NSShqVJr5NMZUVV2etw7KY\naX4fIt2pCp4pn7sQ+urOozsciDmgHYT4YsJF6rjU0bayaeLeBNvitnnal6Hf/4RxiI2F+vXh55+h\nUt04an9Xm129d/F62dcL/djDtg3DprgN01tML/Rjvax3f32X1hVb0+f1Pjmet5tlR/TwaOwt7Z+7\nbVF1pzLNT54iVzsmfIbvpBRqLwji4vhQyjvb6TokIYTQufsPUqk0qTPWKjsuBq8x2QKOEEIYq+ik\naPZF79O2tLmZchNfd1+alW/GojaLqOdaD0tzS12HKcRLycyEbt3gk08gIACgHLNazmLg7wM5OvBo\noY7V9DjzMT+d/YkTg04U2jEKQgWHClxPvJ7jufSsdFIzU7Errh9/E0tLHPFcGo1C7c+GEZl2gquT\nduLsUELXIQkhhM4kJD+m8qRO2Jg5c3HmKingFBJTvqeb8rkLoStRSVGERYURFhXG3ui9PMp4hJ+n\nn3ZMm5plamKmNtN1mEIUiBEj4OpV2LIF1P+p1yiKgu9yXwbWGUj/2v0L7dgrT6/kl4hf+KPnH4V2\njIKw4tQKwqLDWPXmKu1zcQ/iqL+sPvGj4ossDmmJI16KWq3ixIxFVBv3PlWmdOL69D+wLynfPAgh\nTM+dxEdUntIBR3M3LsxcQTEL+UAvhBCGRlEUIpMi2Ru1l7DoJ4Wb9Kx0/D398fPwY6zvWKo4VZEx\nq4RR+uUX2LwZTpz4bwEHnhQLFrddTPuf29OlWpc8dw/Mr+WnljOq8ahC2XdBquBQgeWnl+d4LuFx\nAk7W+jPEiMxtl4t/z/luiszN1JwL/p6SaicqT+zKg0fpug7ppZh6Ho2F5NE4GFoeb91PodKUdpS2\n8JQCzr8YWh6FEKZHURSu3b/Gjyd/pM9vffBY5IHvcl92Xt9JE7cm7Hh3BzdH3WRdl3UMrj+YqqWr\nFmoBR66bQlcuX4bBg2HjRnB0fHp9Pdd6tKrYikVHFhXK8eMfxnPuzjnaeLcplP0XpHK25Yh7EJfj\nucS0RBysHHLdtqje49ISR+SqmIUZF4NX4/NZd7wmdOD8F79S1rGkrsMSQohCF3v3AdVmtMPVoirn\nZn2HuZl89yGEEPpKURSuJV7L0T0qW5ONv6c//p7+fN78c3wcfaSljTApjx/D22/D9OlQr97zXzfJ\nbxKNfmjExw0+xtHqGZWeV7ApYhMdKneguHnxAt1vYXAp6cLNlJsoiqK9ViSnJevNeDggY+KIfEjL\nyOL1CR8Sl3WOU6P+xMetlK5DEkKIQhNzJ5nqM9tQvlgtzgR/IwWcImLK93RTPnchXoaiKFy5fyVH\n9ygVKm33KH9Pf7wdvaVoI0yWokDfvqDRQEgI5PZWeH/r+7jYuDA1YGqBxtFsRTPG+o6lfaX2Bbrf\nwmI705aYETHamahWnV7F7sjdhHQOKbIYZEwcUSAsi5lzYfYyGn8xjhoLmnPgw53Uq1RO12EJIUSB\ni76dRPVZralQvCGngxejVssfAEIIoWuKonD53mVtK5uwqDDM1Gb4e/rTwrMFU/ynUNGhohRthPiP\nZcuejIFz9GjuBRyAT30/penypoxrOg5rC+sCiSH+YTzn75ynVYVWBbK/olC2ZFluPrypLeIkp+tX\nSxz5WjEX0nc1J7VaxdHps2lR6j0af9+UHccv6zqkPJE8GgfJo3HQ9zxei79PtVktqWTpKwWcF9D3\nPAohDJ+iKFxMuMjS40vp/kt3XBe40mp1Kw7FHqJlhZYc6H+AmOExrO68mgF1Buh9qxu5boqidOIE\nTJgAmzZBiTxOMlypVCWauDdh1elVub84jwypK9U/XGxcuJVyS7sPUbcMAAAgAElEQVSclJakLei8\niIyJI/Ta/00YQ9/FpWi3wZ81KX/Sw7+2rkMSQohXdiHmLnUXtqa6dUuOTpsjBRwhhChCiqJwIeGC\ntnvU3qi9WJpb4u/pTxvvNswMnImnvadeF2qE0AeJidC1KyxZApUr52/bkY1HMuj3QXxY78MCea9t\njNjIGN8xr7yfovTPuDj/SE5LxsXGRYcR5SRj4ohXMmbFr8y7+CFf+v7C0I7NdR2OEEK8tB3HL9N+\nbTsal+xJ2KQpUsDREVO+p5vyuQvTpCgKEXcjtN2j9kbvpYRFCfw8/fD38MfP0w9Pe09dhymEQdFo\noFMnqFgRFr3EZFOKolB9SXW+a/8dzTyavVIs91Pv47nIkzuf3sHS3PKV9lWURmwfgZutG6OaPJkS\nfeDWgTQs15D3675fZDHImDii0Mzp9xalN9kx7GAX7iT/yLTeHXQdkhBC5NvXv+9n2IGu9PaYwcpP\nBug6HCGEMEr/jGmzJ2oPoZGhhEWFYVPcBn8Pf9pXas/cVnPxsPfQdZhCGLQ5c+DevSfdqF6GSqVi\nYJ2BLDu57JWLOH9d/4tmHs0MqoADUKZkGW4/uq1dzmt3qqIiY+LkQvqu5u7TtwNZ0fJPgs+9z6Bv\nim7E7vyQPBoHyaNx0Lc8Dv1uLZ8ceJvpdUOkgJMP+pZHIYR+ikyM5MeTP/Lur+9SbkE5Wq1uxZHY\nI7zh8wbHBx3n2ifX+LHTj/R5vY/RF3DkuikKW1jYk9Y369dDsWIvv5/eNXuz9dJWktOSXymeHVd3\nEFQx6JX2oQsOlg4kpiZql5PTk7GzzH1gYxkTRxiU91rVp5TtHt78JYi7s+/z29jhug5JCCFeSKNR\naBs8i93J37Kx027eblpD1yEJIYTBi30Qy57IPYRGhbIncg/p2ekEeAbQwuvJ7FEVHCrImDZCFIKb\nN6FnT1i9GtzdX21fpUuUprlHc7Ze2krv13u/1D4URWHn9Z0GNx4OgIOVA0npSdplfWuJI2PiiAJ1\nOCIG/x9bU8e6M/snz8DcTBp7CSH0z+O0TGpPHMyNrJMc+OgP6vi46jok8R+mfE835XMXhut2ym32\nRO1hT+Qe9kTt4X7qfQK8AgjwfPKo4lRFijZCFLLMTAgMhJYt4YsvCmafq8+sZmPERrb22PpS21+5\nd4WAVQHcGHHD4K4BO6/tZM7BOfzV5y8AKn1Vid97/E5lp3yOEv0KZEwcUWQaVyvP6WH7abTgLdxH\nd+bYZ6txK22r67CEEEIr9u4DXp/RBTOVBdcn7qOsY0ldhySEEAbj3uN77I3eq21tE/8wnuYezQnw\nDGBIgyG85vwaapV8iSdEUZowAayt4fPPC26fHSt35ONtH5OclreuRP9rf8x+/Dz9DK6AA0+6UyWl\n/bclzoP0B9gW15+/aeUKmwvpu5p/VcuXJm7mbhwsXPCe2Zjdp67qOiTJo5GQPBoHXebx6IUb+Mxs\niktxb2Jmb5ECziuQ96MQpiE5LZk/Lv/ByB0jqf1dbby+9GLZyWWUtyvPqjdXkfBpAlu6b2F4o+HU\nLFNTCjgvINdNURg2b34yBs6aNaAuwLefnaUdfh5+/HH5j5fafl/0PpqXN8zZi+0t7UlM+++YOI8z\nH2NtYZ3rdjImjjBoJa2KETFnKT0XLKXVOl9mXFnN+G6tdR2WEMKErQ07Re8/O9K29HC2jB0pU4gL\nIcQzPMp4xIGYA9oZpC4kXKBhuYYEeAbwTbtvqO9aHwszC12HKYQArl2DQYPg99/Byang99++Unu2\nXd1Gr5q98r3tvuh9jPUdW/BBFQEHq5wtcfJaxCkqMiaOKHRfbd3H8APv0N7xU34bM0L+cBJCFLkp\nP/8fU/5+jxE+3zJ/QBddhyNewJTv6aZ87kJ30rLSOHzjMKGRoeyJ2sPpW6ep41JHOxhxQ7eGBjc9\nsBCmIDUVGjeGgQPh448L5xjRSdHUX1afW6Nv5auVXdyDOF5f+jp3P71rkN2psjRZWE63JGNiBtma\nbKyDrcmcmFmkMciYOEKnhnZsTp2KR2j1w5t4f3qK45O+x9HWStdhCSFMgEaj0GHWPLYnLWBpwFYG\ntW2s65CEEEKnMrIzCI8L1w5EHB4XzmvOr9HCqwWT/CbhW95Xr75xFkI829ChULUqDBlSeMfwsPfA\n0cqRUzdPUde1bp63OxZ/jIZuDQ2ygANgrjbHysKKlIwUFEXByly//naVTqu5kL6rBcO3ugcxkw+S\npWTiPqk5xy7FFunxJY/GQfJoHIoqj5E3E3Ed1Ym9dzdxoO9RKeAUMHk/CmEYsjRZhMeFM/vAbILW\nBOE0x4lh24eRnJ7M6CajiR8Vz5GBRwgODKZVxVZSwClEct0UBWXFCjh4EJYtg8Kuk7TxbsP2q9vz\ntc3x+OPUc6lXSBEVjX8GN85PV6qieo9LEUcUGSc7a6LmraVZqbdp9GNDvvu/Q7oOSQhhpEL+Ok6l\n+XVxtazIreB9NK5WXtchCSFEkdAoGk7fOs2CwwvosLYDTnOcGLB1APEP4xlcbzBRw6M4MegE81rP\no51PO72acUUIkbszZ2DMGNi0CUoWwfwMrSq0Ynfk7nxtczz+OPVcDbuIY29pT2JqIqlZqXpX3JYx\ncYROTP7pT6b+3Y8+5Way8pMBug5HCGEkNBqFngu/ZcOdyYyq/C1z+7+t65BEPpnyPd2Uz128PEVR\nuJBwQTumTVhUGKWtSxPgGUCAVwD+nv44l3DWdZhCiAKQnAz16sGUKdCzZ9Ec837qfTwWeZA4NhFz\nde6jsSiKQum5pfl78N+42rgWQYSFo/mK5kwLmEYp61K888s7nP/ofJEeX8bEEXpncq83aOCzjzfX\nd+LkuFMcmDgf2xLFdR2WEMKAxd97SOPgQdzRXGBXn0ME1vbWdUhCCFHgFEXh6v2r2tmjwqLCsLaw\nJsAzgLeqvMXiNospZ1tO12EKIQqYokDfvtC6ddEVcAAcrRxxt3Xn7O2z1Hapnevro5OjKW5e3KAL\nOADWFtY8znyMVaaV3rXEke5UuZC+q4WnXYMqXBlzlIT0OMp83pCtRyIK7ViSR+MgeTQOhZHH3w6e\nwyu4PlbqksRNOSwFnCIg78enhYeH06BBA2rXrk39+vU5duyYdt3MmTPx8fGhSpUq7Ny5U4dRCkMU\nnRTNilMr6PNbH8ovKk/AqgAOxBwgqGIQRwYe4fqw6/zY6Ud61ewlBRw9JtdN8SoWLIC4uCf/FrUm\n7k04dCNvQ2GcunmKOi51CjmiwmdlYUVqViqpmXnvTlVU73FpiSN0yqOMPbHzf6Xv4h94c3Nzuh2c\nys8jBss05EKIPHv/m1X8eGM0AyrMY9mQ93QdjjBhY8aMYdq0aQQFBbFt2zbGjBnDnj17iIiIYP36\n9URERBAXF0fLli25fPkyarV8lyae7ebDm9ruUaGRoTzKfPSke5RnABObT8Tb0dtgZ30RQuTf/v0w\nZw6Eh0NxHXReaOLehN2RuxnSIPepsCLuRlC9dPUiiKpwWZlbkZaV9qQ1jp7NTiVFnFz4+/vrOgSj\np1arCBn+Pj2ONafLz71wGbWN0GE/Ut2z4PpvSx6Ng+TROBRUHu8/SKXxtKFEaQ6w6a09dPZ9rUD2\nK/JG3o9Pc3FxITk5GYCkpCTKlXvSImLLli306NEDCwsLPD098fb2Jjw8nEaNGukyXKFH7qfeJywq\njNDIUHZH7ubOozv4efjRwqsFIxqNoFrpalK0MQJy3RQv4/Zt6NEDVq4EDw/dxNDEvQnT9k3L02sj\nEiIIqhhUyBEVPitzK1IzUyluVjzPLXGK6j0uRRyhN9rWr8zt1w7RKngSNZfUYkqd5XzevY2uwxJC\n6KFdJ67QcU1XnNVVifzsGK6lbHQdkhDMmjWLpk2bMnr0aDQaDYcPHwYgPj4+R8HGzc2NuLg4XYUp\n9EBKRgoHYg6w+/puQqNCuXLvCr7lfQn0CuSnt37i9TKvY6Y203WYQggdy8p6UsDp1w/attVdHJVK\nVSLhcQKJqYk4WDm88LXn75xnZKORRRRZ4fmnO1XxrLwXcYqKtOPNhfRdLVolrYpxeNpM5jb+ickn\nBlF7/HCSUtJeeb+SR+MgeTQOr5LHrGwNXed+TdDGxnRyG0Tk3J+lgKMjpvp+bNWqFTVq1HjqsXXr\nVgYMGMDixYuJiYlh4cKF9O/f/7n7kVYVpiU9K5190fuYtGcSzVY0o+y8ssw8MBOb4jZ82eZLEsYk\nsK3XNkY3GU0dlzpSwDFSpnrdFC9v0iRQq2HyZN3GoVapqV66OufunHvh67I12Vy+d5kqTlWKKLLC\n809LnPx0p5IxcYRJG9k5gE4NT+M37wPKflGftW+vla4SQpi40NPXeGtlf7LJ5M9eB2lbv7KuQxIm\naNeuXc9d9+677/LXX38B0KVLFwYOHAhAuXLluHHjhvZ1sbGx2q5W/6tv3754enoCYG9vT61atbTN\ns//5cCjL+r+crclm2aZlnLx1kij7KA7HHqbcvXLUcanDF29+gW95X8IPhoMCTcs31Xm8slw0y6dP\nn9areGRZv5cPH4aQEH9OnID9+3UfT6nbpTh75yzNPJo99/XlapSjTMkyHDt0TOfxvury7fO3salj\ng0WmBfcv3CfMNizX7f/xsteHpKQkAKKiongRlfK8yccNyIvmUBeGTaNRGPjNSlbGjeGtUl+wYdTH\nMuixECYmK1vDO/O/5rf7U3nDbjybRg+nmIV8S22sDPmeXqdOHRYuXIifnx+7d+9m3LhxHDt2jIiI\nCHr27El4eLh2YOOrV68+1RrHkM/d1CmKQsTdCO2YNnuj91LOphwtvFoQ6BWIn6cf9pb2ug5TCGEg\nIiOhUSP47Tdo0kTX0Tyx+OhiLty9wLftv33ua7Zc3MKyk8v4o+cfRRhZ4QjeH8zD9IfYFrflQfoD\nZracWaTHf9FnAmmJI/SaWq1i+dB+9DrVjE4hvSgz6v/Y88lKXvMqo+vQhBBFYPepq7y1qj8K2dL6\nRui977//niFDhpCeno6VlRXff/89ANWqVaNbt25Uq1YNc3NzlixZIt2pjEBkYiS7I3cTGhlKaGQo\n1hbWBHoF8k71d1jafillS5bVdYhCCAOUlgZdusD48fpTwAGo4VyDjREbX/iay/cuU6lUpSKKqHBZ\nmVtx59EdzNXmWFno1+xUMiZOLv63aZTQjcDa3tyZeYDKNnWpubQm/RYvR6PJ+7eVkkfjIHk0DnnJ\nY1a2hrfnLKbV+kYElO1Mwtx9UsDRM/J+fFq9evU4evQop0+f5vDhw9SuXVu77rPPPuPq1atcvHiR\noCDDn7XDFN1KucXPZ39m4NaBeH3pRZPlTdgTtYdAr0AODzjM9WHXWdZxGT1q9JACjngmuW6KvBg+\nHCpUgGHDdB1JTjXK1ODs7bMvbDEamRSJl71XEUZVeKws/jsmTl4HNi6q97i0xBEGw9rSggNTp7M2\n7G3e3/IBv45cyeruS+nYqJquQxNCFKD/tr7RsO3dQwTVM45vdIQQhiUxNZG90Xu1XaRuPryJn6cf\ngV6BjGw8kqpOVaVFlRCiQK1eDaGhcPw46NvlxcnaCSsLK2IfxOJu5/7M10QlRdHOp10RR1Y4rMyf\nzE5lpjbL88DGRUXGxBEGKSMzmz6Lv2PD3Uk0LjaILaMm4GSnX1O/CSHyJytbQ9d5i9mSOJ1ODp+z\nfuRQGfvGBJnyPd2Uz10fPMp4xMEbB7XTfl9MuEgT9yYEegXSwqsFtcvWllmjhBCF5tw5CAh4UsSp\nUUPX0TxbwKoAPm/2OYEVAp+5vto31djQdQOvORv+hDQbzm9gY8RGbIvZ0ti9MQPrDCzS48uYOMLo\nFLMwY92ojxh3rTMdvxmBy7QaTKr3DZ93b6Pr0IQQL2HXiSt0Wf1kOuYdvQ/Tqq6PjiMSQhi7jOwM\njsYefTKmTVQoJ+JPUMelDi28WrCg9QIalGtAcfPiug5TCGECHj6Et9+G+fP1t4AD4GXvRWRS5DPX\nKYpCVFIUnvaeRRtUIflnivESFiUwU+lXAV/GxMmF9F3Vb7UquhCzYB2T6n3DlONDKD/yHU5fu/nU\n6ySPxkHyaBz+ncf4ew9pPHE8QRsb0cLlbe7N3ysFHAMh70dhaLI12ZyIP8Hcg3Nps6YNTnOcGLFj\nBI8yH/FZ08+4Pfo2+/rtY7L/ZJp5NJMCjihwct0Uz6IoMGAA+PlBnz66jubFPO09iUx8dhHnzqM7\nlChWgpLFShZxVIXDysKKtKw0spXsPLfClDFxhMiHz7u34aN25+g4bwZ1ltWki9Nk1gz7ULpiCKGn\nsrI1DF66muXRn+GpacnxD85Sx8dV12EJIYyIoihcTLionUEqLCqMsiXLEugVyAd1P2Dt22txsHLQ\ndZhCCBP31Vdw9SocOqTrSHLnZe/F9mvbn7kuMinSaFrhAFiaW5KalUq2JlvvWuJIEScX/v7+ug5B\n5JGjrRUHpk5n65Ge9F73IY5jVrGs03f08K8teTQSkkfjcDm1OO1HNwLUfN/mVwYENdR1SOIlyPtR\n6KPopOgc034XMytGoFcgb1d9m2/afYOLjYuuQxQmTK6b4n8dPgzTp8ORI2Bpqetocufl4PXcljjG\n1JUK/tudKj8tcYrqPS5FHGF0OjaqRmKDvQz8ZiW9trVh7o6ebPrkC7xc5Ns2IXTp2KVYun0/jhiz\nPbzvM4uvP+iFuZn06hVCvLzbKbfZE7VHOxhxSkYKLbxaEOgVyNSAqXjZe8kMUkIIvXT3LrzzDvz4\n45MpxQ2Bp70nUUlRz1wXlRRlNNOLw3+mGNfTljjy6TkX0nfVMKnVKpYP7ceFj8+Tmv2YCiO9aDdj\nDvcfpOo6NPEK5P1omO4/SKXl1Ok0XPE65Up4srHpDyz9qLcUcAycvB+FLiSlJbH10laGbRtGjW9r\nUOWbKqw9t5YaZWqwpfsWbo26xdq31zKwzkAqOFSQAo7QK3LdFP/IzoZevZ48OnTQdTR552rjyv3U\n+6RmPv03VUxyDO62z5563BC9TEscGRNHiAJQ2d2JC3O+Y/ZSX766vBXnaZXo5TaJ7wb3xbKY/PoL\nUZg0GoXRK35h8YVPKaupR1jf4zSv6SUfYoUQefY48zEHYw5qZ5CKuBtBY7fGtPBqwfKOy6ntUhtz\ntdzPhRCGZepUyMyEadN0HUn+qFVq3O3ciU6OpopTlRzr7jy6Q4BngI4iK3j63BJHpTxv8nED8qI5\n1IX4tx93HGX0tnE8Vt9iWI0ZzHqvM2q1fEsnREFbv/c0H/w2jHRVEjP9vmT4m/66DkkYCFO+p5vy\nuf8jMzuT8LhwQiND2R25m+Pxx6lVtpa2i1Qjt0Yya5QQwqBt3/5kNqoTJ6BsWV1Hk3+tV7dmZOOR\ntPFuk+P55iuaMy1gGn6efjqKrGAlpyXjvtCdZh7NGFxvMO0rtS/S47/oM4F8dSFMyoCghvRrFUrw\nhh3MODqOJaPmMN1vlvyBKUQB+b/wi3y8fgZR5jvp4TGVFR8PlFnihBDPpVE0nLl1Rlu0ORBzAG9H\nbwK9AhnrO5ZmHs2MZrpaIYSIiYG+fWHDBsMs4MCTGaqeNbjxnUd3cC7hrIOICoelueWTKcb1sCWO\nDEiQC2n2bxz+nUe1WsXn3dvwcN5J3qv8CZ8e6E/pEW3ZsO+M7gIUeSLvR/31x9ELeI7qSftNzalo\nX4WY0Vf4acQHzyzgSB6Ng+RRvAxFUbiUcIklx5bQZUMXnOc60/PXnlxPvM6A2gOIHBbJyQ9OMrf1\nXNr6tJUCjjAqct00bRkZ0LUrjBoFzZvrOpqXV7ZkWW4/uv3U88ZWxDFTm5GtZMuYOELoE3MzNd98\n2JPZqV3o+/V39PgziLFbWrLqvWk0r2k8I6sLUZi2HDrP0F+mEWsRSiuHERwa/B2upWx0HZYQQo/E\nJMdop/zeHbkbM5UZgRUCebPKm3zZ5kvK2ZbTdYhCCFHoRo0CFxcYPVrXkbya0iVKc+HuhRzPZWRn\n8DDjIQ5WxjMbsJnKDI2i0cuWODImjhD/EX/vIb2+XsDe1MW8Rg++7jlKijlCPMemA2cZ9utU4i32\nEWQ7khWDh1DWUb4xF6/OlO/pxnLudx/dzTHtd3JaMgFeAQR6BdLCqwUVHSrKrFFCCKPl6OhIYmKi\nrsMQBsLBwYH79+8/9fyLPhNIEUeI/3E+6g79f5jPsawfcMtoxfR2o+nTsp6uwxJCL2zYd4YRm6dy\ny+Igbe1Hs/zDwTg7lNB1WMKImPI93VDP/UH6A/ZG7dXOIBWdFE1zj+bawYirO1dHrZIe/EII02Co\n13KhG8/7fZEizisICwvD39+/UPYtis7L5DH27gOG/PgDf95bhE1mRYY3+JSJ3dvKbFY6JO9H3Vkb\ndopRW6Zy2+II7R0/5cfBH+JkZ/1S+5I8GofCyqMpf/g1lHNPzUzl0I1D2u5R5++ep2G5htqiTV3X\nujLttxDPIPc/02Ao13KhH16miCN3WCGew620LVvGjeRx2lBGrVjPrGPjmXl8DO9WGM2iAT0paVVM\n1yEKUag0GoUlfx5gRug87lgco2PZMSz78KeXLt4IIQxTZnYmx+OPsztyN6GRoYTHhVOzTE0CvQKZ\nGTiTxu6NsTS31HWYQgghhEmQljhC5JFGozD7l13MOzSXpGIRBNkNY+n7H1De2U7XoQlRoG7dT2HU\nqp/49cY3ZKvS6VR2KN99MABHWytdhyZMgCnf0/Xl3DWKhrO3z2qLNvtj9lPBoQItPFvQwqsFzT2a\nY1NcBjAXQohn0ZdruTAM0p1KiCKyNuwU43+fR0yxbdRR9eOb3sNpWNVd12EJ8Up2HL/MuE1LOKOs\npkx6M4Y1GcLotwIxN5OxLETRMeV7uq7OXVEUrty/ou0etSdyD6WsS9HCswWBFQLx9/THydqpyOMS\nQghDZOj3sb59++Lu7s60adMICwujd+/e3LhxQ9dh5SomJobq1avz4MEDgxo8/2WKOPLJPBdFNde7\nKFwFncce/rWJmv8T+989hUbR0DjkdbxGvctXW/eh0RjuRVvfyfux4GVkZjNh9VZKDW9N241NsTK3\nZn/vk9xcuJlxXVsVSgFH8mgcJI+GLfZBLCFnQnhv83uUX1SeFqtacDj2MB0qdeDUB6e49PElvm3/\nLV2qdZECjhAFRK6bQp/4+/vj6OhIRkZGjudVKpVBFUH+Ub58eR4+fKiz2CdOnEiNGjWwsLBgypQp\nhXosGRNHiFfgW92DkzMXEnnzCz5ZuZxPwwYzam8G/vb9mNGtD/Uru+k6RCGe6ULMXUaE/MhfSUux\nzC7Lu5WGMKvPVuxLyrgWQhijhMcJ7Inco21tk5iWSIBnAC28WvB5s8/xdvQ2yA/tQgihTzQaXUeQ\nN1FRUYSHh1O+fHm2bt1Kly5dcqwvypZE2dnZmJmZFdnxCouPjw9z585l6dKlhX4/lZY4uZAR5I1D\nYefRy8WB38eP4vG8c3zbeg2xD2NouLImpUe0ZeSPG3nwKL1Qj28q5P346lbsDKfi6Peo9q0P15Iu\nsbzNL6QsPMLSj3oXWQFH8mgcJI/67WH6Q/68/Cejdoyi1tJaVFxckVVnVuFTyoeNXTdye/RtNnTd\nwIf1PsSnlI8UcIQoAnLdNH7BwbqOIG9CQkJo2bIlvXv3ZtWqVS+1jzlz5mBjY6N9WFhY0K9fPwCS\nk5MZMGAArq6uuLm5MXHiRDT/qXCtXLkSX19fRo4ciZOTE1OmTOHBgwf06dMHZ2dnPD09mTFjhraQ\ndPXqVfz8/LC3t6d06dJ07979mfFERUWhVqu1x/H39+eLL76gadOm2NraEhQUxL179565bYcOHXKc\ni5mZGSEhIfn6efTp04c2bdpgY2NT6EUwaYkjRAFSq1UMCGrIgKCGJCQvYOLPv7Li7LcsuvIRNVU9\nGd+mH+/41dJ1mMLEHDwfzYzN6wlLWEumWRKtHT9ie58F+LiV0nVoQogCkpaVxuEbh7Utbf6+/TcN\nyjUg0CuQb9/4lnqu9bAws9B1mEIIYbT++guWLNF1FHkTEhLClClTaNCgAVOmTOHOnTs4Ozvnax9j\nxoxhzJgxAMTGxtKwYUNtgaVv376ULVuWa9eukZKSQvv27XF3d2fQoEEAhIeH07NnT+7cuUNGRgaD\nBg3i4cOHREZGkpCQQOvWrXFxcaF///5MnDiRNm3asHfvXjIyMjh+/HieY1y7di3btm3Dzc2Ntm3b\nMm/ePGbOnPnU637//Xft/7dt28b7779PYGAgADVr1nzumEC9evXi66+/znM8BUVa4uRC+q4aB13k\n0cnOmm8Hv0violBCexzFrrg9vf7oiPWIOnSd+zXX4u8XeUyGTt6PeXcu8jZd5n6F7XBfmq2uS2Ty\nNaY3X8CjmVf587NPdVrAkTwaB8nj086cOUPjxo2pWbMmHTt25OHDh9p1M2fOxMfHhypVqrBz585X\nPlaWJoujsUcJ3h9My5CWlJ5bms9CP0OjaJgWMI27n94l9L1QJjSfQGP3xlLAEUIPyHXTeMXGQu/e\n8NNPeXu9SlUwj5dx4MAB4uLi6NixIz4+PlSrVo2ff/755XYGpKam0qlTJ4YPH05QUBC3b99m27Zt\nLFy4ECsrK0qXLs3w4cNZt26ddhtXV1eGDBmCWq3GwsKC9evXM3PmTEqUKIGHhwejRo1i9erVABQr\nVoyoqCji4uIoVqwYTZo0yVNcKpWKfv364e3tjaWlJd26deP06dMv3Oby5cv07duXDRs2UK5cOQD+\n/vtvEhMTn/nQRQEHpCWOEEXC//UK7H19ChmZX7BgcyjfHlmO91ef457ehvdq92JEp5YyfbN4ZZE3\nE5my8Ve2Xl9LotVxvDI6MLL+Z4x+qxUlrYrpOjwhjN7AgQNZsGABzZo1Y8WKFcydO5epU6cSERHB\n+vXriYiIIC4ujpYtW3L58mXU6rx/l6ZRNJy7c47QyFBCI0PZF70PD3sPWni2YHij4TQr3ww7S7tC\nPDshhBDPkpkJ77wDQ4dCQEDettHl5FWrVq2idevW2NjYAOn0qIgAACAASURBVNC1a1dWrVrF8OHD\nX2p/AwYMoGrVqnz66acAREdHk5mZiYuLi/Y1Go2G8uXLa5fd3f87q29CQgKZmZl4eHhonytfvjxx\ncXHAk25bEydOpEGDBjg4ODBq1Chtt63clC1bVvt/KysrUlJSnvva5ORkOnXqxIwZM/JcKNIVKeLk\nQvquGgd9yWMxCzPGdW3FuK6tiLyZyPif1/L1iQVMv/AuLqmBtPd+k087vSHdXJ5DX/KoT+4kPmLa\nhq1svLiW21Z7cU1rSd8aH/BZl6042VnrOrxnkjwaB8nj065cuUKzZs0AaNmyJW3atGHq1Kls2bKF\nHj16YGFhgaenJ97e3oSHh9OoUaPn7ktRFK4lXssx7bedpR2BXoG8W/Ndfuj4A84l8tf0XQihW3Ld\nNE5jx4KDA4wbp+tIcpeamsqGDRvQaDTaIkt6ejpJSUn8/fff1KxZEyDP46TNmjWLq1evsn//fu1z\n7u7uFC9enHv37j33y4p/79/JyQkLCwuioqKoWrUq8GS6cDe3JxPElClThu+//x6AgwcP0rJlS/z8\n/KhQoUI+z/75NBoNPXv2JDAwkIEDB+ZYV716dWJiYp65Xe/evVnyjD50hT3OnBRxhNARLxcH1o36\nCPiISzcSmLf1T/64upllS4Zi/7gOAa5vMrJdJ5q+5qnrUIWeSUh+zIItu1hzei03LLfhlNqEzt49\n+Lzraso7yzfxQuhK9erV2bJlC506dWLjxo3aPvTx8fE5CjZubm7abxj/1+ozqwmNetLaJkuTRaBX\nIG292zK31VzK25V/5jZCCCF045df4Lff4MQJyEfjSp3ZvHkz5ubmnDlzhmLFnrTSVhSFbt26ERIS\nwrx581AUJU8D827bto2vvvqKo0ePUrx4ce3zLi4utG7dmpEjRzJt2jRKlChBZGQkcXFxNG/e/Kn9\nmJmZ0a1bNyZMmEBISAj37t1j4cKF2pY9GzdupHHjxri5uWFvb49KpcpzS9a8DjA8YcIEHj9+zKJF\ni55ad/78+TztIysri6ysLLKzs8nMzCQtLY1ixYrlq9VtXhnAr5puSd9V46Dveazs7sSyIe8Rv/BX\n7o27xcd1R3Lu7t80X90AqxG18Js8ibVhp9BodNj2Ug/oex4Li0ajsOnAWdrPnEep4a0pPacMS04u\npKmbPxcHX+Puwm18P6SPwRRwTDWPxsZU89iqVStq1Kjx1OP3339n+fLlLFmyhHr16pGSkqL9gPws\nz/uWbsulLdR3rc/Od3cSOyKWkM4h9K3VVwo4QhgBU71uGqvLl2HwYNi4ERwddR1N3oSEhNC/f3/c\n3NxwdnbG2dmZMmXK8PHHH/Pzzz+TnZ2NSqXKcY963v1qw4YNJCQkULVqVe2sTh999JH2OBkZGVSr\nVg1HR0e6du3KrVu3tPv7331+9dVXlChRggoVKtCsWTN69epF//79ATh+/DiNGjXCxsaGTp06sXjx\nYjw9PZ8Z0//u93/P43nnsm7dOo4ePYqDg4P2XNauXfuCn+TTBg4ciLW1NevWrWPGjBlYW1uzZs2a\nfO0jr1RKUU4CX0hUKlWhTeMVFhYmTR+NgKHmMSMzmx92HGb54c2cSduMos6kulkn+jR4k/eDfLEt\nUTz3nRgRQ83jy7h0I4Gv/28X26/s5Lp6J2pNcSqZBdGxWhCD2wYYTMHmWUwpj8assPJYmPf0onT5\n8mV69+7N0aNHmTVrFgDj/tPWvk2bNkyZMoWGDRvm2EalUvHee+9pP5za29tTq1Yt7c/5nz8AZVmW\nZdkwl0+fPq0dd0Qf4pHll1/evj2Mjz6CMWP8+fDDnOuN5T4mioZKpWLPnj2cPn2apKQk4Ml06atW\nrXru75EUcYQwEBqNwu9HIvh692YO39/CI+sI7B/V53V7PzrUbM57gY30dgwUkbvHaZks33WEdcd2\ncOrhDh5bXaZMqh/NywXxfkBrAmt7o1YXbv9aIfSBId/T7969S+nSpdFoNPTt25cWLVrQt29fIiIi\n6NmzJ+Hh4dqBja9evfrMbwwN9dyFEMJUKAr07QsaDYSEPD1LlFzLRX487/flRb9HUsQRwkDF3Elm\n5e5DbIvYx/mH+3hY4gwlH9WkesnmtK3WnH4tfQ26tYaxS8vI4o+jEWwKP0hY7A5uWYZhlVaRWiWD\neKdeEANaN5YZpYRJMuR7+uLFi/nmm28AePvttwkODtauCw4OZvny5Zibm/Pll18SFBT01PaGfO5C\nCGEqli2DL7+Eo0ehRImn18u1XOSHFHEKQZg0+zcKppDHhOTHhIQeZeuZvZxJ2kdSiXCsHleismVz\nWlVqTr/AZlQtX1rXYb4SQ82jRqOw72wkv4Uf42BkOFceh/OgxGmKpZXDXdWI1t6tGNKmFdU9TWOm\nGUPNo8ipsPJoyh9+TfnchTAFcv8zfCdPQlAQHDgAlSs/+zVyLRf58TJFHJmdSggj4WRnzcjOAYzs\nHABASmoGP+05zm8n97Hy7x+Ye6UfxdLK4aauT9VSNWhcoQZt69SgVkUX6aZTwM5F3mbDwWPsvXqM\niORw7hU/hirbkjJZ9alRqgHv1J1Mt6Z18Shjr+tQhRBCCCFEHiQmQpcu8M03zy/gCFEUdNISZ+PG\njUyePJmLFy9y7Ngx6tSp88zXbd++neHDh5Odnc3AgQMZO3bsM18n1U4hcpeWkcWmA3+z8+xJztw6\nS3TqWZItzwIabNNqUN6yBrXK1qR5lRq0b/AaZR1L6jpkvZeWkcXB81EcvHiFo5HnOJMQzi31MTQW\nyTik1qeKbX38vBvQpXF96vi46jpcIQyCKd/TTfnchRBCn2k08Oab4OX1pCvVi8i1XOSHwXSnunjx\nImq1mg8++ID58+c/s4iTnZ1N5cqV+euvvyhXrhz169dn7dq1VK1a9anXyhtFiJej0Sici7rN/504\ny8Grf3Ph3lnis8+SWuIC5mllccquQUWbGtR1r4Fv5SrU9XbHq6yDSbXcScvI4lBENIcvXeV0zBWu\n3L9CfNoVktRXyLS+gXmqC7ZZPrhbVaWJRwM6129AQK2KmJupdR26EAbJlO/ppnzuQgihz2bPhs2b\nYe9eKJbLkIVyLRf5YTDdqapUqZLra8LDw/H29tZOs9m9e3e2bNnyzCJOYZK+q8ZB8vhsarWKmhXK\nUrNCWaCV9vmMzGx2n77KX3+f5VjM32yMWMd3F66QXjwW1JlYpLlRMtsNR3N3XEq4U97ejUpl3Knu\n7kZdb3c8ytgXSqGnoPOo0SjcSXrE5di7RN5OIOruXS7cjOJywhXi0q6QqL5CpnU0ZmllsM30waW4\nDxXsvXmjWiCNK/nQ/LUKJjfNe0GQ96NxkDwKIUT+yHXTMIWFwcKFcOxY7gUcIYqC3o6JExcXh7u7\nu3bZzc2No0eP6jAiIUxHMQsz2tavTNv6lYEuOdbF33vIyauxnI2+weVbsUQl3uBE/HF2xPxGyvFY\n0i1vgCqbYmlulMx2x97clZLmdpSwKEnJYiWxKV4SW8uSOJSwwd66JI4lS1LKpiRONiUp42CDs31J\nnOysn9mSJTtbw+O0TNIysnicnkl6ZhZpGVmkZ+Z8PExNIybhHrH3E4hPusudlATupSaQlHmXlOwE\nUlUJpJvfRWOZABozzDKcKJ5VGiucKG3hQQV7b4Kq+NHIxwe/mhWxL2lZRD95IYQQQgihL27ehJ49\nYfVq+NefpkLoVKEVcVq1asWtW7eeej44OJgOHTrkur1KpR/dNaRabhwkjwXHtZQNrqWq0r7h81vF\nxd59wMlrsZyPieXK7TiSUx/yMD2FlIwUbj+6xeOsh6RqUkhXUshQUshQPSRLnYLG/MkDi8eQaQ2K\nGaiyQP3PQwN7zUFjDoo5Ku2/FqgUc+1DrRTDUuNESbUTtuZOlLIqTUXHipS1bYi7Y2nKOzlRoawT\nPuWccLKzLsKfngB5PxoLyaMQQuSPXDcNS1YWvPMOfPghtGqV++tNWUxMDNWrV+fBgwcv9Xe8jY0N\nZ8+e1fbCKQj+/v707t2bAQMGFNg+9UWhFXF27dr1StuXK1eOGzduaJdv3LiBm5vbc1/ft29fbdLt\n7e2pVauW9kIZFhYGIMuyLMtFuNzR35+Ojaq91PbZ2Rqq1qpPVraGE0cPUczcjFYtAzE3U7Nv394C\niO8BjavV0auflyzLsqkunz59mqSkJACioqIQQggh9MFnn4G1NXz+ua4jKXgrV65k/vz5XL9+HVtb\nWzp37szMmTOxs7PL0/aenp4sX76cFi1aAFC+fHkePnz40vG8yrbPo1Kp9KZhSEHTycDG/wgICGDe\nvHnUrVv3qXVZWVlUrlyZ3bt34+rqSoMGDXQysHGY9F01CpJH4yB5NA6SR+NQWHk05QEhTfnchTAF\ncv8zHJs3w7BhcOIEODnlb1t9v5bPnz+fuXPnEhISQmBgILGxsXz00UfcvXuXgwcPYmFhkes+vLy8\n+OGHHwgMDCyCiF9OQEAAvXv3pn///oWy/6ysLMzNX71NzMsMbKx+5aO+hN9++w13d3eOHDnCG2+8\nQdu2bQGIj4/njTfeAMDc3Jyvv/6aoKAgqlWrxjvvvFPkgxoLIYQQQgghhDAd167BoEGwYUP+Czj6\n7sGDB0yePJmvv/6a1q1bY2ZmhoeHBxs2bCAqKoo1a9YAMHnyZLp06UL37t2xtbWlbt26/P333wD0\n7t2bmJgYOnTogI2NDfPmzSMqKgq1Wo1GowGetLidOHEivr6+2NjY0LFjRxISEujVqxd2dnY0aNCA\n6OhobVxqtZrr168THx+PjY2N9mFtbY1a/d+SxfLly6lWrRqOjo60adOGmJgY7bpdu3ZRpUoV7O3t\nGTp0KIqiPLcIYm9vrz1GyZIlUavV2n398ccf1KpVCwcHB3x9fTl79qx2O09PT+bMmUPNmjWxsbEh\nOzubrVu3Ur16dRwcHAgICODixYva18+ePRs3NzdsbW2pUqUKoaGhr5rCJxQjYCSnIYQQQpg8U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"text": [ "" ] } ], "prompt_number": 6 }, { "cell_type": "markdown", "metadata": {}, "source": [ "8th-order bandpass Modulator\n", "----------------------------\n", "In the following, we synthesize an 8th-order modulator with optimized zeros." ] }, { "cell_type": "code", "collapsed": false, "input": [ "order = 8\n", "OSR = 64\n", "opt = 2\n", "f0 = 0.125\n", "H = synthesizeNTF(order, OSR, opt, 1.5, f0)\n", "subplot(121)\n", "plotPZ(H)\n", "title('Bandpass NTF Poles and Zeros')\n", "f = np.concatenate((np.linspace(0, f0 - 1./(2.*OSR), 50), \n", " np.linspace(f0 - 1./ (2 * OSR), f0 + 1./(2.*OSR), 100), \n", " np.linspace(f0 + 1./(2.*OSR), 0.5, 50)))\n", "z = np.exp(2j * pi * f)\n", "magH = dbv(evalTF(H, z))\n", "subplot(222)\n", "plot(f, magH)\n", "hold(True)\n", "G = (np.zeros((order/2,)), H[1], 1)\n", "k = 1./np.abs(evalTF(G, exp(2j*np.pi*f0)))\n", "G = (G[0], G[1], k)\n", "magG = dbv(evalTF(G, z))\n", "plot(f, magG, 'r')\n", "figureMagic([0, 0.5], 0.05, None, [-100, 10], 10, None, (16, 8))\n", "#axis([0, 0.5, -100, 10])\n", "grid(True)\n", "xlabel('Normalized frequency ($1 \\\\rightarrow fs$)')\n", "ylabel('dB')\n", "title('Bandpass NTF/STF Magnitude Response')\n", "f = np.linspace(f0 - 0.3/OSR, f0 + 0.3/OSR)\n", "z = np.exp(2j*np.pi*f)\n", "magH = dbv(evalTF(H, z))\n", "subplot(224)\n", "fstart = -.5\n", "plot(2*OSR*(f - f0), magH)\n", "axis([- 0.6, 0.6, -100, -60])\n", "grid(True)\n", "sigma_H = dbv(rmsGain(H, f0 - 0.25/OSR, f0 + 0.25/OSR))\n", "hold(True)\n", "#plot([-0.5, 0.5], sigma_H*np.array([1, 1]))\n", "plot([-0.5, 0.5], sigma_H*np.array([1, 1]), 'o-')\n", "text(-.2, sigma_H + 5, 'rms gain = %5.0fdB' % sigma_H)\n", "xlabel('Normalized frequency offset')\n", "ylabel('dB')\n", "tight_layout()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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TTh4hbMxkMtGhQwecnZ3ZsWMHgGVo6KVLl4iKiqJfv34kJCSka3/FixfnwoULlu1Hv0/p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WAAAg\nAElEQVQozeJMnqtXrxa5rWbNmiU2aNOT9HSgRg21oyAiInJMnMlTPGdnZyxcuBDBwcHIycnBs88+\nC19fXyxZsgQAMG7cOPTv3x8//PADvLy84ObmhhUrVpT6WEfMJTU1FUOHDgUAZGdnY+TIkejXr5+m\nc0lNTUXnzp1x/fp1ODk5Yf78+YiLi0ONGjU0VZeK5nPx4kWHq80777yDtLQ0cz8Oo9GImJgYh/yd\nKSkXrf3OANbl8/XXX2PlypUwGo2oUaMG1qxZU+pjHTEXR61NWR+rlorkosXaKM0gROkLvj09PXH2\n7FnzNMG0tDQ0bNgQDRs2xGeffYaOHTvaJdDS5K27s7XDh4FnnwWOHLH5UxMREeleZqZc8pyZqdw5\nlLoGICIiInJEFnfX6tu3L7Zu3YorV67gypUriIqKwsCBA/HJJ5+YR5f1Kj0d3D6diIionFxcgLt3\ngdxctSMhIiIiqhwsDvLs27cPwcHB5uN+/fph37596NatG7KyshQNTm3p6UBWlkntMMjGTCaT2iGQ\nDbGe+sOa6ofBAFStCmzfblI7FCIiIqJKwWJPnkaNGuH999/HsGHDIITAunXrcP/99yMnJwdOThbH\niBxaTg5QpYraURARETkuV1dA5+8JEREREWmGxZ48ly5dwowZM/DLL78AALp37463334btWvXxtmz\nZ+Hl5WWXQEuj1Hr89euBdevkZyIiIiq7Ro1kj7u/dy+1OfbkISIiIspncSZP/fr1sXDhwmK/p4UB\nHiIiItKuatW4wxYRERGRvVhcb3Xx4kW8/vrr6N+/P3r16oVevXqhd+/eNjl5VFQUfHx84O3tjfff\nf7/Y+0yYMAHe3t7w9/fHERW2ubp40WT3c5Ky2O9DX1hP/WFN9cXVFdi1y6R2GERERESVgsVBnpEj\nR8LHxwdnzpzB9OnT4enpiU6dOlX4xDk5OXjllVcQFRWFuLg4fPXVVzh58mSh+/zwww9ISEhAfHw8\nli5dqvvdvIiIiPSGPXmIiIiI7MfiIM+VK1cwduxYuLi4oGfPnlixYgV27txZ4RPHxMTAy8sLnp6e\nMBqNGDZsGDZv3lzoPt9++y3GjBkDAOjSpQvS09Nx4cKFCp+7LBo0CLLr+Uh5QUFBaodANsR66g9r\nqi+urkCbNkFqh0FERERUKVgc5HFxcQEANGzYEN9//z0OHz6MtLS0Cp84JSUFTZs2NR97eHggJSXF\n4n3OnTtX4XMTERGRfezbB8THqx0FEWmNk5MTXn/9dfPxnDlzMGPGDLvGUKNGDfPX3bt3r/DzTZ8+\nHXPnzi32ewsWLICfnx+eeuqpCp9HKzIzM9GzZ09z8/vc3Fy89tprNnv+nTt34p///Cc2bdpU5LyP\nPPIIcnNzbXYuIj2x2Hh52rRpSE9Px9y5czF+/Hhcv34dH330UYVPbDAYrLrfvTtmlPS4iIgIeHp6\nAgDc3d3Rvn1787vBef0dynoMBOHiRRPyDiv6fDzWxvG8efNs8vPBY20cs576O46NjcXEiRM1Ew+P\nK37866/AmDFBNvv5SE9PBwAkJSWBiByTi4sLNm7ciClTpuC+++6z+m8DIP/vg7I8pjgFH5+3k7Ct\nnu9eixcvxo4dO9C4cWPzbbbKQy1ffvklBg4cCIPBgLS0NKxYsQK7du2y2fN//PHHmDZtGurVq1fo\n9qpVq6JHjx7YtGkThg4darPzEemGUMm+fftEcHCw+XjWrFli9uzZhe4zbtw48dVXX5mPW7VqJVJT\nU4s8l1JprFsnxCOPRCvy3KSe6OhotUMgG2I99Yc11Zfu3YVYsCBasedX8VKGiCqgRo0aYvbs2WLa\ntGlCCCHmzJkjpk+fLoQQYu7cuaJNmzaiTZs2Yt68eUIIIRITE0XLli3F6NGjRevWrcWuXbtEq1at\nREREhGjZsqUYMWKE+PHHH8VDDz0kvL29RUxMjPlcgwcPFh07dhStW7cWS5cuLRRDHjc3NyGEEIsX\nLxbt27cX7du3F56enqJXr15CCCFWrVolAgMDRfv27cW4ceNETk6OEEKI9957T7Rs2VI8/PDDYvjw\n4WLOnDlFch03bpxwcXERbdu2FR999FGhPP78888yP3diYqJo06aN+fk/+OAD82tX3HMlJiYKHx8f\n8dxzz4nWrVuLfv36iTt37pgf/8UXX4h27doJf39/8dRTT4m33nrL/LoLIcTUqVPF/Pnzi+TVp08f\ncerUqUK3BQUFFVfucgkJCSnxe/v37xdPPPGEzc5FpCcWr4z++OMPMXHiRDF48GAxcOBAMXDgQDFo\n0KAKn/ju3buiefPmIjExUWRmZgp/f38RFxdX6D5btmwRoaGhQgg5KNSlS5fik1BwkIf/dhAREZVf\nx45C/Pqrcs/PQR4ix1SjRg1x/fp14enpKa5du2Ye5Pn1119F27Ztxe3bt8XNmzdF69atxZEjR0Ri\nYqJwcnISBw4cEELIgQ5nZ2fx22+/idzcXNGxY0fxzDPPCCGE2Lx5sxg8eLD5XFevXhVCCHH79m3R\npk0b83HBQZ6CXwsh/1bp0aOH+P7770VcXJwYNGiQyM7OFkII8eKLL4qVK1eaY71z5464fv268PLy\nEnPnzi02X09PT3HlypUieZTnue8d5Ml77Up6rrzX6ujRo0IIIcLDw8Xq1auFEEL89ttvomXLluLK\nlStCCCHS0tJEUlKS6NChgxBCiJycHNGiRQvza5YnOztbNGzYsEieZRnkuXv3rli+fHmx35szZ47o\n2bOn2LRpkzh+/Lj44osvxKeffipu3rwphBAiIyNDNG7c2OpzEVUmFpdrDR48GGPHjsWgQYPg5CRb\n+NhiSqGzszMWLlyI4OBg5OTk4Nlnn4Wvry+WLFkCABg3bhz69++PH374AV5eXnBzc8OKFSsqfF4i\nIiKynzt3ZPNlIqJ71axZE6NHj8aCBQtQrVo1AHLZ1NChQ83HQ4cOxe7duxEWFoYHH3wQgYGB5sc3\na9YMrVu3BgC0bt0affr0AQC0adOm0HLO+fPnm/u6JCcnIz4+vtDzFGfChAl49NFHMWDAACxcuBCH\nDh0y7zCckZGBhg0b4urVqxg6dChcXV3h6uqKsLCwIq0milMwjx07dtjsuXfu3Fnoue7cuYOGDRvi\nkUceQbNmzdCuXTsAQMeOHc2vz86dOxEeHo66desCkG0v3N3dcd999yE2Nhapqano0KED6tSpU+hc\nly9fRs2aNS3mWhpnZ2cYjUacOXMGzZs3L/S9Tp06QQiBxx57DK+99hqGDRuGuLg43Lx5E25ubqha\ntSpyc3ORkZEBV/4nQ1SIxUEeV1dXTJgwQZGTh4aGIjQ0tNBt48aNK3S8cOFCRc5trYsXTQCCVI2B\nbMtkMpn7O5DjYz31hzXVl4wMIDbWhNatg9QOhYg0aOLEiejQoQOefvpp820FBzOEEOY3mN3c3Ao9\ntmrVquavnZyczBvGODk5ITs7G4D8P2XHjh3Yv38/XF1d0atXL2RkZJQa0+eff47k5GQsWrTIfNuY\nMWMwa9asQvebP39+kVitcW8eZX1uZ2fnQk2H79y5Y75Pcc+VlJRU6LWqUqWK+TEGg6HYuMeOHYsV\nK1bgwoULeOaZZ4rNw9p8ExISSu159OSTT2LNmjVo0aKF+bYTJ06gTZs2AIBRo0ZhwoQJqFu3LiIi\nIgqd31H7GREpycnSHcaPH4/p06dj3759OHz4sPmDiIiIyJKMDODvv7uIiIqoU6cOwsPDsWzZMhgM\nBnND3Tt37uDWrVvYtGkTevToYfWAwr2uX7+OOnXqwNXVFb///jv2799f6v0PHTqEuXPnYtWqVebb\nHn30UWzYsAGXLl0CAFy9ehVnz57FI488gk2bNiEjIwM3btzA999/X+ZBh/I89/3334+LFy/i6tWr\nyMzMNH+vpOcqTe/evbF+/XpcvXrV/BgAGDJkCKKiovDrr78iODi4yOPq1auHmzdvWpWjl5cXxowZ\nU+xH9erViwzwAMBvv/2GNm3aYPv27Th27Bj27NlTqAFzZmYmqlSpUmjwiogkizN5Tpw4gVWrViE6\nOtq8XAsAoqOjFQ1MKxo0CFI7BLIxzhDQF9ZTf1hTfcnIAHr3DlI5CiLSmoKDIZMmTTLP3g8ICEBE\nRIR5OdNzzz0Hf39/JCUlFRlAKe047+uQkBB8+umn8PPzQ6tWrdCtW7dS779w4UKkpaWhV69eAIDO\nnTtj6dKleO+999CvXz/k5ubCaDRi0aJFCAwMxJNPPgl/f380aNCg1CVgxZ0LAHx9fa167s6dO5sH\nuoxGI9566y0EBgaiSZMm8PPzK/W5GjRoUOJr5efnh2nTpqFnz56oUqUKOnTogOXLl8NoNKJ3796o\nU6dOsQNXVapUQZs2bXDq1Cm0atUKt27dwtKlS3Hy5EnMmzcPzz33XJEZS/fKzs5GWlpakQEeADh/\n/jw8PDxw5coVXLp0CevWrUN4eLj5+0eOHClUSyLKZxAWhsVbtGiBkydPmqc/alFJ0wwrasMG4H//\nA775xuZPTUREVCm4uQEXL8rPSlDqGoCISEtmzJiBGjVqYNKkSXY5X25uLjp27IgNGzYUOwgDyGVt\nFy5cwOTJk2123m+++QZZWVnYs2dPqW07pk6dis6dO2PIkCE2OzeRXlhcrtW2bVukpaXZIxbNqVUL\n+PNPk9phkI2ZTCa1QyAbYj31hzXVDyFk4+X9+01qh0JE5PDs1X8mLi4O3t7e6NOnT4kDPAAwYsQI\nbNmyxaYD7UajEcnJyRg/fnyJ98nMzMSePXswePBgm52XSE8sLtdKS0uDj48POnfubF7zaDAY8O23\n3yoenNrq1AGsXGpKRERE97h7F6hSRX4QEVH5vf3223Y7l5+fH/744w+L93NxccHPP/9s03MPGjQI\ngwYNKvU+VatWtfl5ifTE4nKtkt5R1VLPBKWmasfHA6GhQEKCzZ+aiIhI965fBzw85GelcLkWERER\nUT6LM3m0NJhjb+7uQHq62lEQERE5powMwNVV7SiIiIiIKo8Se/LUqFEDNWvWLPajVq1a9oxRNe7u\nQFqaCXyDUF/Y70NfWE/9YU31I2+QhzUlIiIiso8SZ/LcZDMaGI2Aiwtw6xZQo4ba0RARETkWzuQh\nIiIisi+LPXkcgZLr8T08gH37gKZNFXl6IiIi3Tp6FBg1Cjh+XLlzsCcPERERUT6LW6hXduzLQ0RE\nVD5XrwJ166odBREREVHlwUEeCwwGEwd5dIa9IfSF9dQf1lQ//voLaNSINSUiIiKyFw7yWFCjBpCW\npnYUREREjic1FWjYUO0oiIiIiCoPDvJY4OUVxJk8OhMUFKR2CGRDrKf+sKb6kTfIw5oSERER2QcH\neSxgTx4iIqLyyVuuVZl9/PHH8PX1RZs2bTB58mTz7ZGRkfD29oaPjw+2bdumYoRERESkJxzkseDa\nNfbk0Rv2htAX1lN/WFP9yJvJU1lrGh0djW+//RbHjh3Db7/9htdffx0AEBcXh7Vr1yIuLg5RUVF4\n6aWXkJubq3K0REREpAcc5LGAPXmIiIjKp7LP5Fm8eDGmTJkCo9EIAKhfvz4AYPPmzRg+fDiMRiM8\nPT3h5eWFmJgYNUMlIiIineAgjwVduwbh4kW1oyBbYm8IfWE99Yc11Y/K3pMnPj4eP//8M7p27Yqg\noCD8+uuvAIDz58/Dw8PDfD8PDw+kpKSoFSYRERHpiLPaAWjdgw8Cf/6pdhRERESOJSsLuH4dqFdP\n7UiU1bdvX6Smpha5febMmcjOzkZaWhr279+PgwcPIjw8HGfOnCn2eQwGQ5HbvLy88Mcff9g8ZiIi\nItI+f39/xMbGlvlxHOSxIDXVhMTEILXDIBsymUyV9l1lPWI99Yc11YcLF4D69QEnJ33XdPv27SV+\nb/HixRg6dCgAoHPnznBycsLly5fRpEkTJCcnm+937tw5NGnSpMjj//jjDwghbB90JRcREYHPP/9c\n7TB0ha+pMvi6KoOvq+3xNa24558HrlwBNmwA8t73Ke4NIGtwuZYF9eoBly8DGRlqR0JEROQ48pZq\nVWaDBw/Gzp07AQCnT59GVlYW6tWrh7CwMKxZswZZWVlITExEfHw8AgMDVY6WiIiI1LB0KfDLL8Dn\nn+cP8FQEZ/JY8OijQfDwAM6eBVq2VDsasgW9vptcWbGe+sOa6kPBpsuVtabPPPMMnnnmGbRt2xYu\nLi5YuXIlAMDPzw/h4eHw8/ODs7MzFi1aVOK7dVFRQEiIPaPWP09PT7VD0B2+psrg66oMvq62x9e0\n/PbuBd58Uw7y1Kxpm+fkII8VmjUDEhM5yENERGQtzuQBjEYjVq1aVez3pk6diqlTp1p8jtGjgd27\ngVatbB1d5VVZBx2VxNdUGXxdlcHX1fb4mpbP+fNAeDiwYgXg7W275+VyLQtMJpN5kIf0wWQyqR0C\n2RDrqT+sqT6kpubP5GFNy2/WLOCxx4Br19SOhIiIiGwlMxN44gnghReAAQNs+9wc5LGCpyeQlKR2\nFERERI7j/HnO5LGFsWOBvn2BESOAnBy1oyEiIiJbmDBBXidZMam3zAxCB9s2GAwGRXef+N//gM2b\ngbVrFTsFERGRrvTqBUyZAvTrp+x5lL4GUFNebnfvAsHBQJcuQGSk2lERERFRRSxdCsybBxw4UHof\nnvJe47AnjxW4XIuIiKhsTp4EfH3VjkIfjEZg3TogMBBo1w4YPlztiIiIiKg89u2TjZb37LFdo+V7\ncbmWBSaTicu1dIa9IfSF9dQf1tTxpaUBt24BHh7ymDWtuHr1gE2b5PTuQ4fUjsax8efR9viaKoOv\nqzL4utoeX1PrXLgA/OMfstGykps6cZDHCg0bAjdvyg8iIiIq3cmTgI8PUMKu4FRO7drh/9m78zib\n6j+O46+xZM+QUkJEki0jkSSjrBU/eyiFkqKkZElalC1SUhRKiYqUQpZQDZLsSiTEZGsUmZIlzNzf\nH99mIsss95z7Pffc9/PxmAfnzsw5n/P93nvn3M/5fj9fXn8dmjUzF4oiIiISHpKToUMH8+V0oeX/\nUk2edLrqKpg2DSpUcPUwIiIiYe/NN2HRInjnHfePFQk1ef7r6afh88/NV44cFgITERGRDHn5ZXj/\nfViyxEzDTo/MXuNoJE86acqWiIhI+qgej7uefhouvBAefBB8mt8SERHxje++g4ED4d1305/gCYaS\nPGlImV+o4sv+oTmj/qL+9B/1afj7b5JHfeqsLFnMKKlly2DMGNvRhB89H52nNnWH2tUdalfnqU3P\n7sgRs2DCiBFQqlRojqnVtdKpbFnYsMF2FCIiIt6nkTzuy5cPZsyA66+HcuXMkvUiIiLiLY89Zmrq\ntW8fumOqJk86ffUV9Oxp1rIXERGRMztyBAoUMIsVZAvBraRIrMlzss8/hzvugFWr/l3NTEREROyb\nNcusirl2LURHZ/z3VZPHZVdfDd9/DydO2I5ERETEu3780QxHDkWCR+Dmm+Ghh+DOOyEpyXY0IiIi\nAvDLL9C5M0yenLkETzCU5ElDyvzCfPng0kth0ya78UjwNGfUX9Sf/qM+DW9nmqqlPnVX375mufrB\ng21HEh70fHSe2tQdald3qF2dpzY9VXIy3H03dOkCNWuG/vhK8mRAlSpmqJWIiIicmerxhF7WrOZO\n4ejRsHSp7WhEREQi28iRZtr6k0/aOb5q8mTA88/D3r3w4ouuH0pERCQstWoFzZpBu3ahOV6k1+Q5\n2axZZurW2rWmLpKIiIiE1rp1UK8erFhhVugOhmryhEBMDKxZYzsKERER79JIHnsaN4YmTUwNAJ/m\nvURERDzr8GGzXPrIkcEneIKhJE8aTp5fGBNjMnPJyfbikeBpzqi/qD/9R30avo4cge3b4corT31c\nfRo6w4bB1q0wfrztSLxLz0fnqU3doXZ1h9rVeWpT49FH4ZprzKqXNmntiwy48EJTgHn7drNyiIiI\niPxr9Woziid3btuRRK6cOWHKFKhVyxR7LF/edkQiIiL+98knMH++N2r4qiZPBjVpAnfdBS1bhuRw\nIiIiYWP4cNi5E0aNCt0xVZPnzN580wwXX7ECcuVyODARERFJtXu3WaTp44/h+uud269q8oSIVtgS\nERE5s6+/dvbiRjKvUycziuexx2xHIiIi4l+BANx7L3Tt6p1rICV50vDf+YUqvhz+NGfUX9Sf/qM+\nDU+BwNmTPJHcp6+88gpXXXUVFSpUoE+fPgDEx8eTK1cuYmJiiImJoWvXro4fNyoKXn8d5swxQ8jl\nX5H8fHSL2tQdald3qF2dF8ltOnUq7NoF/frZjuRfqsmTQRrJIyIicrpt2yB7dihWzHYk3vHll18y\nc+ZMvvvuO7Jnz85vv/2W+r3SpUuz1uULiuhoeO89aNrUFIJU34iIiDjnwAFTbPmjj8w1kFeoJk8G\nBQKmAPP69XDJJSE5pIiIiOdNmgQzZ8K0aaE9rpdr8rRu3Zr777+fm2666ZTH4+Pjady4MevXrz/n\n7zt1bkOGwLx58MUXkDVr0LsTERER4P77IUsWGDPGnf2rJk+IREWZu2ErV9qORERExDuWLfPOXHSv\n2LJlC4sXL+a6664jNjaWVatWpX5v+/btxMTEEBsby1dffeVqHL17Q7ZsMGiQq4cRERGJGF9/DbNm\nweDBtiM5naZrpSEuLo7Y2NhTHqtdG7780qy0JeHnTH0q4Uv96T/q0/D09ddw991n/p6f+7RevXok\nJCSc9vigQYM4ceIEBw4c4JtvvmHlypW0bt2abdu2UaRIEXbu3EmBAgVYs2YNTZs2ZcOGDeTLl++0\n/XTo0IESJUoAEB0dTeXKlVPbMqUGQnq2J02CChXiKFAAHnoo47/vp+2Ux7wSjx+2/9u2tuPxy/a6\ndevo0aOHZ+Lxy7aer85vjxw5MtN/n8Jxe+HCODp3hpdeiiU62tm/T3FxccTHxxMMTddKQ9wZLky/\n+Qa6dIFvv3XlkOKyM/WphC/1p/+oT8PPn3+aKcwHDsB5553+fTf71MvTtRo1akTfvn2pXbs2YOrw\nLF++nAsuuOCUn6tTpw4jRoygSpUqpzzu9Ll98gn06WOuX3LmdGy3YUfvMc5Tm7pD7eoOtavzIq1N\nhw6FxYth9mwz08ctmb0OUJInE06cgEKFYMsWU59HREQkki1cCAMGwJIloT+2l5M8Y8eOZc+ePQwY\nMIDNmzdTt25dduzYwb59+yhQoABZs2Zl27Zt3HjjjXz//fdER0ef8vtunFvLllC2LAwc6OhuRURE\nIsJPP0H16qZ8S8mS7h5LNXlCKFs2qFXLTNkSERGJdKrHc2adOnVi27ZtVKxYkbZt2/LOO+8AsHjx\nYq6++mpiYmJo1aoVY8eOPS3B45ZRo2DsWPj++5AcTkRExDcCAeja1dS6czvBEwwledJw8vy4k910\nk1mlQsLP2fpUwpP603/Up+Hn66+hRo2zfz9S+zR79uxMmjSJ9evXs3r16tSh7M2bN+f7779n7dq1\nrF69mltvvTVkMRUpYkbxdO4MSUkhO6ynROrz0U1qU3eoXd2hdnVepLTplCmQkACPPGI7knNTkieT\nbr4ZPv/cdhQiIiJ2JSebWnXnSvKIt3TubJZSf/1125GIiIiEhwMH4NFHzWjY7NltR3NuqsmTScnJ\nULgwrF4NxYuH9NAiIiKesX49NGsGW7faOb6Xa/IEy81z27gRbrwR1q2DokVdOYSIiIhvdOliyraM\nHh26Y6omT4hlyQJ16qguj4iIRLZ586BePdtRSEaVKwcPPgjdupkaAyIiInJmS5fCp5/C4MG2I0kf\nJXnScK75hZqyFZ4iZc5opFB/+o/6NLzMng1plZRRn3rT44/D5s0wfbrtSEJLz0fnqU3doXZ1h9rV\neX5u02PHzCiekSMhf37b0aSPkjxBSCm+rDtgIiISiRITYc0a8/dQwk+OHDBuHHTvbvpSRERETjVi\nBFx2GbRsaTuS9FNNniAEAqbDFyyAK68M+eFFRESs+uADmDjRjOaxRTV5gtelC0RFqRCziIjIyX76\nCapXh1WroESJ0B9fNXksiIrSUuoiIhK5Pv007ala4n3PPw+zZsFXX9mORERExBsCAXjgAejb106C\nJxhK8qQhrfmFN92kujzhxs9zRiOR+tN/1KfhISkJ5s5NX5JHfept0dHw8stmafW//7Ydjfv0fHSe\n2tQdald3qF2d58c2nTkTfvkFHn7YdiQZpyRPkG6+2aywlZRkOxIREZHQWbkSChc205Yl/LVoAWXK\nwNChtiMRERGxKykJnngChgyB7NltR5NxqsnjgMqVYdQouPFGayGIiIiE1JNPwvHj9pMCtq8B3BTq\nc9u5E2JiYMkSuOqqkB1WRETEUyZPhjFjzNLpUVH24lBNHotatYIPP7QdhYiISOikZ+l0CS/FisEz\nz8B990Fysu1oREREQu/YMXjqKTOKx2aCJxhK8qQhPfMLW7aEjz7SBVG48OOc0Uim/vQf9an37d4N\nP/8MNWqk7+fVp+HjgQfMCK3x421H4h49H52nNnWH2tUdalfn+alN33jDTF+uXdt2JJmnJI8DrrwS\nChaEb76xHYmIiIj75syB+vUhWzbbkYjTsmY1CZ7+/WHfPtvRiIiIhM6hQzBwIAwaZDuS4Kgmj0MG\nDIDERHjpJathiIiIuK5pUzOK9c47bUfijWsAt9g8twcegDx54IUXrBxeREQk5J5/HlatgmnTbEdi\nZPY6QEkeh2zYAA0bmuHrWTQ+SkREfOrvv+Gii+Cnn6BQIdvReOMawC02z+2XX6BCBVi7FooXtxKC\niIhIyCQmwhVXmMUHypa1HY2hwssuSe/8wnLlIG9es6SseJuf5oyK+tOP1KfeFhdnPvxnJMGjPg0/\nl1wCXbqYkcp+o+ej89Sm7lC7ukPt6jw/tOnw4dCkiXcSPMHQbHqHREWZoesffgjVq9uORkRExB1T\npkCLFrajkFDo3dsUn/zhBy2pLiIi/pWQAK+/bkav+oGmaznou+/gf/+DbdvCd0QhGLgAACAASURB\nVLk1ERGRszl8GC69FDZuNCM9vMAr1wBu8MK5DR8Oy5bB9OlWwxAREXFN9+6m5MrIkbYjOZWma3lA\nxYqQPTusWWM7EhEREefNmGFGq3olwSPue/BBMxV9+XLbkYiIiDgvPh7efRf69bMdiXOU5ElDRuYX\nnjxlS7zLD3NG5V/qT/9Rn3rXpEnQvn3Gf099Gr5y5YKnn4a+fcEvA6b0fHSe2tQdald3qF2dF85t\n+swz0K2bWVTCL5TkcVhKkscvF0IiIiJg5qsvW2aWT5f0adOmDTExMcTExFCyZEliYmJSvzdkyBCu\nuOIKypYty/z58y1GmbYOHcxqWx4PU0REJEM2boQ5c6BnT9uROEs1eRwWCECpUvDxx3D11bajERER\nccZLL8G6dTBxou1ITuWla4Bzeeyxx4iOjqZ///5s3LiRdu3asXLlSnbv3k3dunXZvHkzWbKceu/N\nS+f20UcwcCCsXm3qFoiIiIS7Fi3guuugVy/bkZyZavJ4RMqUrWnTbEciIiLinEmT4K67bEcRngKB\nAB988AFt27YFYMaMGbRt25bs2bNTokQJSpcuzYoVKyxHeW7Nm5u6gx98YDsSERGR4KXUm3vwQduR\nOE9JnjRkZn7hnXeaO51JSc7HI8EL5zmjcjr1p/+oT71nwwb49VeIjc3c70d6ny5ZsoTChQtTqlQp\nAPbs2UPRokVTv1+0aFF2795tK7x0iYqCoUOhf384ftx2NMGJ9OejG9Sm7lC7ukPt6rxwbNN+/eDJ\nJ03tOb/JZjsAP6pUySwxO3cu3Hab7WhERESCM2kS3HEHZM1qOxLvqVevHgkJCac9PnjwYBo3bgzA\n+++/T7t27c65n6ioqDM+3qFDB0qUKAFAdHQ0lStXJvafbFvKRXWotrNkiSM6Gt54I5YHHgj98Z3a\nTuGVeLSt7bNtr1u3zlPxaFvbZ9tet26dp+JJa/vFF+PYuBE6dfJGPCnbKf+Pj48nGKrJ45K33jJ1\neWbOtB2JiIhI5iUlQYkS5sZFhQq2ozmdF68BTnbixAmKFi3KmjVrKFKkCABDhw4FoG/fvgA0bNiQ\nAQMGUL169VN+14vntno1NG4MW7ZAnjy2oxEREcmYQABq1ICHH4Z/ZlF7lmryeEzr1rB0KezcaTsS\nERGRzIuLg0KFvJngCQcLFy7kqquuSk3wADRp0oQpU6Zw7Ngxtm/fzpYtW6hWrZrFKNPvmmugVi14\n+WXbkYiIiGTczJlw5AjcfrvtSNyjJE8aTh46lRF58pjM4IQJzsYjwctsn4o3qT/9R33qLZMmQfv2\nwe0jkvt06tSpqQWXU5QrV47WrVtTrlw5GjVqxJgxY846XcuLBg6EF1+E/fttR5I5kfx8dIva1B1q\nV3eoXZ0XTm06dCg884y/V4r08anZd9998MYbcOKE7UhEREQy7vBhmDED0ignI+fw1ltvcd999532\neL9+/di6dSubNm2iQYMGFiLLvCuuMCuJPv+87UhERETSb80a2LMHmjSxHYm7VJPHZTVqwBNPqACz\niIiEn3ffhcmTTT0er/LyNUCwvHxue/ZAxYrw7bdw0kJhIiIinnXvvVCqFDz+uO1I0kc1eTzqvvtg\n7FjbUYiIiGTcq69C5862oxAvKlLEXOMMGGA7EhERkbQdOAAffQT33GM7EvcpyZOGYOcX3n47fP21\nCjB7STjNGZW0qT/9R33qDd98AwkJ8L//Bb8v9ak/9ekDn3wCmzbZjiRj9Hx0ntrUHWpXd6hdnRcO\nbfr223DLLXDRRbYjcZ+SPC7LndsUYH7zTduRiIiIpN/LL0P37pA1q+1IxKuio+GRR2DYMNuRiIiI\nnF1yMrz2GnTrZjuS0FBNnhBYv95kDbdvh2zZbEcjIiJybrt2QaVK5u9W/vy2ozk3r18DBCMczu23\n36BMGdi6FS64wHY0IiIip1uwAHr1grVrIYwWs1RNHi+rWNEUJfRy4UoREZEUo0ebZdO9nuAR+y68\n0KxSMmGC7UhERETObPRo6No1vBI8wVCSJw1OzS/s0gXGjXNkVxKkcJgzKumn/vQf9aldhw/DG2+Y\nqVpOUZ/6W7duZhh8UpLtSNJHz0fnqU3doXZ1h9rVeV5u0x07YMkSuOMO25GEjpI8IdK6tSnAHB9v\nOxIREZGzmzQJatY0S4yKpEe1alCoEMybZzsSERGRU40bB3feCXny2I4kdFSTJ4QefxwOHjRL0oqI\niHhNcjKUL29GZcTG2o4mfcLlGiAzwuncJk6EKVM0NV1ERLzj77/hsssgLg7KlrUdTcapJk8Y6NED\n3nvPLEkrIiLiNQsWQI4cULu27Ugk3Nx+O6xebQowi4iIeMH06ebmVTgmeIKhJE8anJxfWLiwmQs4\ncqRju5RM8PKcUck49af/qE/tGTnS3JBwujCh+tT/cuaETp3MKDCv0/PReWpTd6hd3aF2dZ5X23TM\nmMhZNv1kSvKE2GOPwfjxcOCA7UhERET+9cMPZmnRNm1sRyLh6v77zbStw4dtRyIiIpHuu+9g+3az\nAmSkUU0eCzp2NAUt+/e3HYmIiIjxwANmxOkzz9iOJGPC7RogI8Lx3Jo0MV/33ms7EhERiWT33w9F\nisBTT9mOJPMyex2gJI8FmzaZegfbtkVWlW8REfGm3383Nx9++AEuvth2NBkTbtcAGRGO5zZ/PvTp\nA2vWOD/tT0REJD3++ANKlICNG+GSS2xHk3kqvOwSN+YXli0LtWrBG284vmtJB6/OGZXMUX/6j/o0\n9F59FZo2dS/Boz6NHHXrwqFD8PXXtiM5Oz0fnac2dYfa1R1qV+d5rU0nTYL69cM7wRMMJXksefxx\neOEFOHbMdiQiIhLJfv8dRo3SFGJxRpYs0LUrjB5tOxIREYlEgYApuNy1q+1I7NF0LYsaNoRWreCe\ne2xHIiIikeqJJ+DXX82iAOEoXK8B0iNczy0xEUqWDM/pfyIiEt6+/BIefBC+/z78pw2rJk8Ynsbi\nxSbBs2kTZM1qOxoREYk0v/4KV11lVtUqXtx2NJkTrtcA6RHO59alCxQtCk8+aTsSERGJJK1aQWys\nP5ZOV00el7g5v7BWLbOSyYcfunYIOQOvzRmV4Kg//Ud9GjrPPw/t2rmf4FGfRp5u3WDsWDhxwnYk\np9Pz0XlqU3eoXd2hdnWeV9p09274/HNo3952JHYpyWNRVBT06wdDhpi5gyIiIqGyeze89Zb5OyTi\ntEqVzJStGTNsRyIiIpFi/Hho0wbOP992JHZpupZlgQDExMCgQXDrrbajERGRSNG1K+TJA8OH244k\nOOF8DZCWcD+3qVPh9ddNfQSRUBk7diy5c+emveVb+XPmzKFfv35ERUWRN29e3n77bUqVKgVA9+7d\nmTt3Lrlz5+btt98mJibmtN9/5plnyJcvHz179qRDhw4sXryY/Pnzc/ToUdq2bctTTz0V6lMS8bTj\nx+Gyy+Czz6BiRdvROEPTtcJUVBQ8/bS5k5qUZDsaERGJBNu3mw/gvXvbjsTf2rRpQ0xMDDExMZQs\nWTL1g1x8fDy5cuVK/V5Xny4B0qwZ/PgjbNhgOxIJpUAgYDU52aVLF+sJHoBu3boxdepU1q5dS7t2\n7Rg4cCBgkj9bt25ly5YtjBs3jgceeOCMvx8VFUXUP1Vjo6KieOGFF1i7di3r1q1j4sSJ/PzzzyE7\nF5FwMGMGlC7tnwRPMJTkSUMo5hc2bWqGlL3zjuuHErwzZ1Scof70H/Wp+557zozkufDC0BwvUvt0\nypQprF27lrVr19KiRQtatGiR+r3SpUunfm/MmDEWo3TPeedB585mKVsvidTno5umTJnClVdeyd13\n303FihVZsmQJZcuWpWPHjlx55ZXccccdzJ8/n5o1a1KmTBlWrlwJwKJFi1KTnVWqVOGvv/46bd/P\nPfccZcuWpVatWrRr144RI0YAMH78eKpVq0blypVp2bIlR44cAcwImJSfiY2NpW/fvlSvXp0rr7yS\nr776KkQtAhdffDF//PEHAImJiVx66aUAzJgxg7vvvhuA6tWrk5iYyN69ewEYNGgQV155JbVq1eLH\nH39k69atqftLSZwdPnwYgDx58oTsXPxG7wHO80Kbjh7tj2LLTshmOwAxo3leeAFatIDWrc3weRER\nETds3gwzZ8JJnx3EZYFAgA8++IAvI3DeUpcuUKGCqT8Y6TUS/G7r1q1MmjSJatWqER8fz08//cRH\nH31EuXLluPbaa5k6dSpLly5l5syZDB48mI8//pgRI0YwZswYatSoweHDh8mRI8cp+1y5ciXTp0/n\nu+++49ixY1SpUoWqVasC0KJFCzp37gzAk08+yZtvvsmDDz542giYpKQkli9fzty5cxkwYAALFiw4\n5RgHDx7kxhtvPO18oqKieO+99yhbtmym2uPVV1+lfv365M6dm/PPP5/ly5cDsGfPHooVK5b6c0WL\nFmXXrl3s2rWLqVOn8u2333L8+HGqVKlCvXr1APMe0qtXLwYOHMjWrVt5+OGHKVSoUKbiEvGjbdvM\nqNFmzWxH4g0ayZOG2NjYkBynenWz2tY/Nx7ERaHqUwkN9af/qE/d9cwz8MgjEB0dumNGep8uWbKE\nwoULp9bjANi+fTsxMTHExsaGdHRBqBUpAnXremu0cqQ/H91w3XXXcdlll1GtWrXUx0qWLEn58uWJ\nioqifPny1K1bF4AKFSoQHx8PQM2aNXnkkUd45ZVXOHDgAFmzZj1lv0uXLqVp06acd9555M2bl8aN\nG6eOaFm/fj21atWiUqVKvPvuu2zcuPGMsTVv3hyAKlWqpB73ZPny5UsdVXfy15o1azKd4ElOTqZ9\n+/bMmzePnTt30rFjRx555JHU759pOttXX31F8+bNyZkzJ/ny5aNJkyaULl0aOHW6VkJCAgsXLmTZ\nsmWZik30HuAG2206Zw7ccosZQSoayeMpQ4bANdeYoc2XXGI7GhER8Zv1683SomPH2o7EP+rVq0dC\nQsJpjw8ePJjGjRsD8P7779OuXbvU7xUpUoSdO3dSoEAB1qxZQ9OmTdmwYQP58uU7bT8dOnSgRIkS\nAERHR1O5cuXUi+mU4fFe3+7WLZb774fy5eOIirIfj7bd2U55LGX7xIkTqdtZsmRh8+bNxMXFUaJE\nidTvVa9endtuu43Zs2dzzTXXMGzYMO66667UfW3dujV1xEpcXBw7duxInfbUpk0bBg0aRKdOnZg4\ncSJTpkw5ZcpIXFwciYmJqaODvvnmm1Omg6X87DXXXEOtWrU4dOgQAHnz5gXgr7/+on///qlTq9I6\n/2rVqnHgwAHq1KnDwIED+eOPP1L32bp1a2688Ubi4uK49NJL2blzZ+rv79q1i6JFi7JlyxYOHjyY\nGt+OHTtSp6ABfP/99xQsWJDY2FhiY2OZOHEif//9t2f6X9vatrk9eXIc9esDeCOezG6n/P9MCekM\nCfiAm6fx5ZdfurbvM+nVKxC4996QHjLihLpPxV3qT/9Rn7qnWbNA4IUXQn9cN/vU65cyx48fDxQu\nXDiwe/fus/5MbGxsYPXq1ac97vVzS6/k5ECgQoVAYOFC25EYeo9x3vvvvx+oUKFC6vb27dtP2e7Q\noUPgww8/PO17W7duTf2Zli1bBmbMmHHKfleuXBmoUqVK4OjRo4GDBw8GypQpExgxYkQgEAgEChUq\nFPj1118Dx44dC9StWzfQsWPHQCAQCDz99NOBF/55ozv5tfXbb78FSpQo4fSpn1FSUlLgkksuCWze\nvDkQCAQCb7zxRqBly5aBQCAQmD17dqBRo0aBQCAQWLZsWaB69eqBQCAQWLNmTaBSpUqBI0eOBP78\n88/AFVdcEXjggQcCgcCp7Xf8+PFAbGxsYPr06SE5Fz/Se4DzbLbpkSOBQN68gcD+/dZCcE1mrwOs\njOT5/fffuf322/n5558pUaIEH3zwAdFnGDdeokQJzj//fLJmzUr27NlZsWKFhWhDq18/uPJK6N5d\nlcFFRMQ533wDy5fD5Mm2I4ksCxcu5KqrrqJIkSKpj+3bt48CBQqQNWtWtm3bxpYtW7j88sstRumu\nqChTDHP0aLj5ZtvRiFtS6uCkZzvl/y+//DJffvklWbJkoUKFCjRq1OiU36latSpNmjShUqVKFC5c\nmIoVK5I/f37AFGSuXr06F154IdWrV08dpXNyTZ60YnRLlixZmDBhAq1btyYQCFCwYEEmTJgAwC23\n3MKcOXMoXbo0efLk4a233gIgJiaG22+/nauvvpqLLrrolKlvQGpNnmPHjlG3bl2aqfiICACLFkGl\nSlCwoO1IvCPqnwxRSPXu3ZtChQrRu3dvnn/+eQ4cOMDQoUNP+7mSJUuyevVqCqbRY5ldP96rXnkF\nZs+GefNsRyIiIn6QlATVqplaPHfeaTsaZ3n9GqBjx47UqFGD++67L/Wx6dOn89RTT5E9e3ayZMnC\ns88+y6233nra73r93DLir79MfZ4dO0JbD0rC36FDh8iTJw+HDx+mdu3ajB8/nsqVK9sOS0Q8okcP\nKFQI+ve3HYnzMnsdYCXJU7ZsWRYtWkThwoVJSEggNjaWTZs2nfZzJUuWZNWqVVxwwQXn3J+fLoIA\njh+H8uVNsqdBA9vRiIhIuHv9dXjvPXO3K0Q3skPGb9cAJ/Pbud1yC3TqBC1b2o5Ewskdd9zBxo0b\nOXr0KB06dKBPnz62QxIRD7nySnONc801tiNxXmavA6ysrrV3714KFy4MQOHChdm7d+8Zfy4qKoq6\ndetStWpVxo8fH8oQU51cBClUsmeHYcOgVy9z91WcZaNPxT3qT/9Rnzpr3z546il49VV7CR71qQA0\namRWQLFNz0fnudmm7777LmvXruWHH36IuASPnqvuULs6z1abbtsGiYkQE2Pl8J7lWk2es602MWjQ\noFO2zzVvdunSpVxyySX89ttv1KtXj7Jly1KrVq0z/qwfVp84eTt/foiOjuXtt6FUKfvx+Gl73bp1\nnopH28Ftqz/9t71u3TpPxRPu28OHQ9u2sVSqZC+eFE49PxITEwGCX31CQqpRIxg8GAIB/40oExGR\n0Js7Fxo2hCxWhq54l7XpWnFxcVx88cX88ssv1KlT54zTtU42YMAA8ubNS8+ePU/7nt+GM6dYuRKa\nNoUff4R/VnMUERFJtxUrzN+RjRv9WwfFr9cA4M9zK1MGpk7VXVcREQnebbeZWoNt2tiOxB1hNV2r\nSZMmTJw4EYCJEyfStGnT037m8OHDHDx4EDAF1+bPn0/FCFtu6tprITbWTN0SERHJiKQks6LR0KH+\nTfBI+GnUyNx5FRERCcbRo7B4MdSvbzsS77GS5Onbty8LFiygTJkyfPHFF/Tt2xeAPXv2pK4ukZCQ\nQK1atahcuTLVq1fntttuo76FHvzvUPNQGzoUXnsN0hjoJBlgu0/FWepP/1GfOuONNyBHDmjf3nYk\n6lP51y232E/y6PnoPLWpO9Su7lC7Os9Gmy5eDBUqaOn0M3GtJs+5FCxYkIULF572eJEiRZg9ezYA\nl19+eWqtjUhWrBg8/TR07mxWRdF8QxERScv+/fDkk7BggWqfiLfUrg2tWsGBA1CggO1oREQkXM2d\na0aHyums1ORxmh/nrJ8sORluuMHcjX3gAdvRiIiI13XpYkbxjBplOxL3+fkawK/ndtttcNdd0Lq1\n7UhERCRclS0LkydD1aq2I3FPZq8DlOQJExs3mrtfa9dC0aK2oxEREa9auRKaNIEffoiMWjx+vgbw\n67mNHm2ep2+/bTsSEREJR9u3w3XXwS+/+HumS1gVXg4nXpmzWa4cPPSQGcnjw+u9kPJKn4oz1J/+\noz7NvORkU2x5yBBvJXjUp3KyRo1g3jzzfLVBz0fnqU3doXZ1h9rVeaFu07lzoUEDfyd4gqFmCSN9\n+5qs5Qcf2I5ERES86M03IVs2MxVGxKsuv9wkIdeutR2JiIiEI9XjOTdN1woz33wDzZrB99/DBRfY\njkZERLxi926IiYH586FyZdvRhI6frwH8fG6PPGKuY/r3tx2JiIiEk6NH4aKLzOAHv38e1nStCHHd\ndaZQYc+etiMREZHMmj0bEhP/3U5MNI9lViAAnTrBgw9GVoJHwpcXllIXEfGSo0dh71748UdYscLc\ntJk2DcaPh48/hoQE2xF6w1dfQfny/k/wBENJnjR4cc7moEEQF2eWxpWM82KfSuapP/0nEvq0Zk14\n4gmT3ElMNP+vWTPz+3vtNbOffv2ci9FJkdCnkjE33gjr18Pvv4f+2Ho+Ok9t6g61qztstuuJE7B0\n6b9/98uUgcKFzYqY558PFSuaFQi7dYNhw2DqVDOT4403TI3WUqXMisuvvQbffgtJSdZO5RShbFNN\n1UpbNtsBSMblzQuvv26WyF2/HvLksR2RiIhkRHS0Sdh362a2R4/OfKHkLVvgqafMRWM2/VWXMJEj\nB8TGmjvVbdrYjkZExD2//mqKzc+ZY27SFytmRjM+9xwUKWL+/ufPDzlzQlTU2feTnGxG+Xz9tfka\nNQr27IFrr4Xrrzdf113nrYUX3DB3LkycaDsKb1NNnjDWvj1ceCG8+KLtSEREJKMSE4NP8pw4AbVq\nQbt2ZgXGSOTnawA/nxuYO9HLlsE779iOxBsSE02y9s8/IXduyJXr1H//+1jWrLYjFpEzSUqCVatM\nUmfOHHMz5uabTWKnYUO49FLnjrV/vxnps2yZSfysXWvKevTuDeed59xxvOLnn01SKyEhMlbWyux1\ngJI8YWzfPqhQAWbOhGrVbEcjIiLplTJFa9Ags53y/4wmelKm7372WWRc7JyJn68B/HxuAPHx5vol\nUi7W/ysxEZYsMa/hRYvMHfpq1cwNvMOH4ciRc/+bPz/Urm0+PNatC2XLnnsUgIi4a9cuGD4c3nvP\nTMG65Rbzdf31oUu47NgBDzxg/n3jDahePTTHDZXXXzfJ8EmTbEcSGiq87BIvz4UtVAheegk6dIBD\nh2xHEz683KeScepP/4mEPl269N+kTsrUraVLM7aPtWvh5ZdhwgTvf0COhD6VjCtRwlzLrF4d2uPa\nej4mJsKsWeYu+zXXmCkbL78MBQrAyJHm5t3nn8OUKeYG3oIF5n1hzRrYtMncwf7tN/jrLzNS4Icf\n4PbbTV2Ohg2haFG4+24zMmr37tCem17j7lC7usPpdo2Ph/vvh0qVIHt2WLnSrIQ8bJiZlhrKETXF\ni8Onn5qbR02bQo8e5j3DbaF6rqoeT/p4/LJQ0tKmjblQ6NHDdiQiIuHN6RWvzuXWW08dtRMdbR5L\nr6NHzZTdF180HxRFwlWjRv5fZWvePKha1bxWR42CggXNv/v3w8KFZhn5G24wdYrSKyoKLr4Y2rY1\nd+vj481ooBo1TIKoUiVTpPWhh2DGDPOeISLO+uknuOce81msYEEzGu+FF0wC26aoKPMZ8fvvzbVM\nhQrmfSjc/f23GflYv77tSLxP07V84OBB8+by7LMqXigikllOTaEKhV69zIe6Dz7Q9Aw/XwP4+dxS\nfP65ea19843tSJyXmAiPPgpffAGvvAINGoTujn5SEqxbZ5JI8+aZkUDdu5tpHF58TxMJJz/+aK4P\n5swxtfUeftgkebxqwQKzYM/115tZIBdeaDuizPHz34uz0XStCJYvn1le76GHTEZZREQy7uQVr7p1\n826CZ/FiM9//tdeU4JHwd8MNZtrRvn22I3HWnDlmKeRcucxKqI0bh3bKRtas5gZgnz7w5ZfmQ94P\nP5jll3v3NivyiEjGbNhgRs/VqmWWPt+6FQYM8HaCB6BePfM+dPHF5n1p8mQIx/sHmqqVfkrypCFc\n5sLGxJgldNu0gWPHbEfjbeHSp5I+6k//UZ+e3Z9/mpob48aZWibhwgt9+vPPP7Pvn0zCsmXLGD58\nOB9//LGrx1yxYgXVqlUjJiaGa6+9lpUrV6Z+b8iQIVxxxRWULVuW+fPnuxqHl+XIAXXqmKXUQ8XN\n5+OBA6ZW4oMPmto4o0ebm3G2Vahg4lmzxkx5qFAB7r3XjEhwghde436kdnVHRtt1zx5o3doUOa9c\n2dxU79/fmzeCziZPHjOV7NNPzb+NGjlbuysUz1UledJPSR4fefBBsyTf44/bjkREJPykTNcaPdp8\nPfHEqTV6vODRR80duYzU7xF49tlnuemmm6hevTr9+/fnkUceYf/+/YwaNYqHH37YteP27t2b5557\njrVr1/Lss8/Su3dvADZu3MjUqVPZuHEj8+bNo2vXriQnJ7sWh9c1amRGvoS7Tz81d8nz5oXvvjPJ\nK6+57DJT7HnzZlOouVYtaNHCFIoVkdNNmWISO2XLmuROnz7eSNxmVtWq5vVepQr873/hMzhgxw74\n9VcTv6RNNXl85vffzaieMWP0IUBEJCNmz4aaNf+9M5eYaFa28cp76bRp0LevqbMRzheYTkvPNcBV\nV13FunXrOHz4MMWLFychIYE8efJw4sQJrr76ajZs2OBKbG3btqVZs2a0bt2a999/n9mzZzN58mSG\nDBlClixZ6NOnDwANGzbkmWee4brrrsvwufnBjh1malFCgplmFG4OHDA1OZYuhTffNKvphItDh0zM\nI0aYqVz9+8NNN9mOSsS+/fuha1eTsH3nHbj2WtsROSsQMKtvlSljln33urFjYckSM9UskqgmjwBm\nTui775pK76FePlNEJJwFu+KVmzZsMBebH36oBE9m5MyZkxw5clCgQAFKly5Nnjx5AMiWLRvnuVgo\nZejQofTs2ZPixYvTq1cvhgwZAsCePXsoWrRo6s8VLVqU3WH6R3v2gtk06NiA2A6xNOjYgNkLMr4k\nXfHiULgwrFrlQoAumznTjN6JjjYfBsMpwQNmCkf37qa2SMeO5vqxY0eTuBKJVHPmmBXqLr3UTHH0\nW4IHTE2/CRPMSKXPPrMdTdqcmKrlxN+rcJHNdgBeFxcXR2yY/cW+4QYzdeuOO0wV8nC8K+amcOxT\nOTv1p/+oT0/1xx/QvLmZQx8TYzuazLHdp3/88QfTp08nEAic8v+U7wWjbkFYswAAIABJREFUXr16\nJCQknPb4oEGDGDVqFKNGjaJZs2ZMmzaNTp06sWDBgjPuJ+osVbQ7dOhAiX/W442OjqZy5cqpbZlS\nA8HW9pAXhvDqJ6+yp94/VXy3w/cDvmcc47i13q0Z2l+jRvDaa3EcOeJ+/CmPBbu/Nm3iWLIE3n8/\nlhtvtN8fwWxnzw7FisUxZgzMnh1LxYrQrVscNWqk7/f/27a2z8cv2+vWraNHjx6eiccv22d7vh4+\nDJ98EsuCBdCrVxyVK0OuXPbjdXN70qRY2rWDV1+No2DBzO9v5MiRrv19OnYMFiyIo2NHgMztz8m/\nV25up/w/Pj6eYGi6VhriwvTDRlIS1K8PN94ITz9tOxpvCdc+lTNTf/qP+vRfyckmwXPppaZOULhy\ns0/Tcw3QoUOHsyZRAN566y2nwwLg/PPP588//wQgEAgQHR3NH3/8wdChQwHo27cvYKZrDRgwgOrV\nq5/y+16frtWgYwPmlzi9YnKDnxswb8K8DO3ryy9NrYsVK5yK7uyceD7OmAE9esDateFVfDW94uLM\nqJ6aNWHkyLRXD9L7tjvUru44U7suXmyKptepY5YZP/98K6FZ8eST5r137lzIkiVz+3DzufrFF6bm\n7PLlmd+Hk3+vQimz1wFK8vjYL7+YolpTpkDt2rajERGRjBo82BRzjYsL7fLL4SQ91wAjRow45/d7\n9uzpZEipqlSpwksvvUTt2rX5/PPP6du3LytXrmTjxo20a9eOFStWsHv3burWrcvWrVtPS0R5/fom\ntkMsi0ouOv0bXwIeLDosIiIR6ix/l2pvr03c23GhjibdMnsdoOlaPnbJJfDWW3DnneZOUzgttysi\nEunmz4dXXzWrYCjBE5yDBw8SFRXFjz/+yMqVK2nSpAkAs2bNolq1aq4dd9y4cXTr1o2///6bXLly\nMW7cOADKlStH69atKVeuHNmyZWPMmDHnHGnkVTmicpzx8QaXN2De0xm/M9q8OTRrBu3bBxuZe5KT\noUEDM8LlmWdsRxMaS5ZAp05QrRqMGgUXXGA7IhFnrF8PbdualbNefz2yPyvFx5vX+OzZ3qtBVKGC\nKRD/n8GuGdIgvgHzOX0kT84sOYOIzLsyOSArcpw8Py4cNWxoavO0aQPHj9uOxhvCvU/lVOpP/1Gf\nmoutu+4yIzEvvdR2NMGz3afPPPMMTz/9NDt37mTNmjWMGDGCESNGsHr1an7++WfXjlu1alWWL1/O\nunXrWLZsGTEnFVXq168fW7duZdOmTTRo0MC1GNzUvV13Sq0tdcpjpdaU4qG2D2Vqf40amekCbgvm\n+fjSS3D4sFmFKlLUqgXffgsXX2yKTE+ffvrP2H6N+5Xa1R1xcXF8/jncfDP06mVWr4zkBA9AiRJm\nWnjbtnDwYMZ/363n6s6dZuXFYJdOd/rvlddpJE8EGDQImjQxqyeMGWOqqYuIiDcdOWJGNPTta+qq\niXN+/fVXsmfPnrqdPXt2fv31V4sRhbdb65nl5155/xWOJh8lZ5acPPTgQ6mPZ1SjRqbuQlKSNxeN\nWLsWhg41tSuyRdgVdO7cZpn1Fi3MqJ6pU+G119Ku1SPiRQsXwrhxJrmjkhb/atXKjCLu1s0sG+8F\nc+eaOrPB/k1w+u+V16kmT4T4808ztLhzZ5PsERER7wkEzPLFf/8N772npHx6ZOQaYNCgQUydOpXm\nzZsTCAT45JNPuP322+nXr5/LUWZOJF7fVKoEY8dCjRq2IznV4cNwzTVmBM8dd9iOxq4jR0wS+rPP\nzFLTl19uOyKR9AkETLJy1Cjz3K1QwXZE3nP4sBk18/jj3pg626EDXH893Hef7UjsUOHl8D8N18XH\nm4umCRPM3TIREfGW114zIy6/+Qby5LEdTXjI6DXA6tWrWbJkCVFRUdx4442nTKHymki8vunTB3Lk\ngGeftR3Jqe6/H/76CyZPth2Jd4wZA889Bx9/DNddZzsakXNLToaePWHBAjM6pFgx2xF517ffQt26\nsGwZlC5tN5abboJ+/Uw8kSiz1wGqyZMGP82FLVECPvwQ7r4bNmywHY09fupTUX/6UaT26bJl8PTT\npt6F3xI8XurTa665hh49evDwww97OsETqW65xdxhd1NGn4+ffGKmMIwe7U484aprV3jjDWjcGJ59\nNs52OL7kpffOcHb0qKk1s2aNKST+009xtkPytKuvNtcjbdvCsWPp+x23nqs7dkDx4q7s2teU5Ikw\nNWvCiy+aP8i//WY7GhERAVNUsHVrM9LyiitsRyNiz/XXw9atsHev7UiMPXvMKJ7JkyF/ftvReM+t\nt8K8efDKK6YodYQNPJMwkJhoFqJJTjZTDAsUsB1ReOjWzazU/MQT9mJIToZduzTqKjM0XStCPfEE\nLF5sCo/lOPMKqCIiEgIHD0JsLPzvf/DUU7ajCT9+vgbw87mdS4sW0LSp/XoQycmm4GetWuautpzd\njh1mFNZNN5lkjxcLZ0vk2bXLJHj0vMycffsgJsaM2LOxCGRCgqnTFsnrI2i6lmTIc8/BRRdBly66\n6yIiYsuxY9CypSno+uSTtqMR8YbKlWHTJttRmJHPR4/avZMdLooXh6VLYeNGaNYMDh2yHZFEuu+/\nNyMD774bXn5ZCZ7MKFTIrLLVqROcOBH642uqVuYpyZMGv86FzZLFvGjXr4dhw2xHE1p+7dNIpf70\nn2D7dPZsMzw7RWKiecxrAgG4914zmnLMGH+vpKXXqWRE8eLm4t4t6Xk+rlkDzz9vpmlF2nLpmREX\nF0f+/Kae0gUXmGWpExJsRxX+9N6ZOYsWwc03w5Ah0KvX6X9f1a7pV6cOFC5skrjn4kabKsmTeUry\nRLA8eWDmTDOP+pNPbEcjIuKMmjXNnffERPP1xBPmMa95/HHYsgWmTNGHSJGTuZ3kScuhQ9Cunbn7\nX6KEvTjC0Xnnmdpi//ufWXErkhf6EDu+/tqMkH33XbjjDtvR+EPjxjBrVuiPu3OnkjyZpZo8wqpV\nZkn1+fPNvEsRkXCXmGiKBoJZESc62m48//XKK/Dqq+bOWKFCtqMJb36+BvDzuZ3LTz+Z5XK3b7dz\n/C5d4PBhmDTJzvH9YvJkePRRk8i+6Sbb0Ugk2LTJ1Lh7+21Ti0ecsWqVSZj9+GNoj/vII6bo8qOP\nhva4XqKaPJJpVavCa6+Zuy4//2w7GhERf5s2DYYONat8KMEjcrqiRc2qVklJoT/2xo3mjrWWSw/e\nnXfC1Klw++1pT/UQCdYvv5ib1kOHKsHjtCpVzCIRmzeH9rg7dmhlrcxSkicNkTJns2VLeOwxc+fs\nl19sR+OuSOnTSKH+9J9g+zRlitbo0eYrZeqWFyxaZEYYzZ4dWdNA9DqVjMiRAwoWdK+my7mej7Nm\nQfPmcP757hzbr87WpnXqmBE9zZtr6lZm6L0zff7806zudu+90KFD2j+vds2YLFnSnrKlmjzeoiSP\npOreHTp2hHr1zJJ5IiLhaOlSGDTITNGKjjb/98Jd5PXroVUreP99s3qQiJydrbo8s2bBbbeF/rh+\n1qCBWamsYUO7tZbEn44dgxYtTA2ofv1sR+NfNuryKMmTearJI6fp189MI/jiC8if33Y0IiLhb8cO\nU/x52DBo29Z2NP7i52sAP59bWlq1Ml+tW4fumPv2QalSsHcv5MwZuuNGipEjYexYWLJEU1XFGYEA\n3HWXmUr00UdaJt1NR46YVbZ+/hkKFAjN8aKjzb9ZInhYimryiGMGDTIfRm65xawwISIiGTdt2mfU\nr9+POnWe4/rr/6JHDyV4RNLLxkieuXNNgWAleNzRowc0bWpGSun6UpzQr58p1P7ee0rwuC1XLlPU\neu7c0Bxv1y5Tny2SEzzBULOlIRLnbEZFmbstZcuaYsxHj9qOyFmR2Kd+pv70Hz/06bRpn3H//b+w\nYMEg4uL6s39/PJdd9pntsKzxQ59KaLmZ5Dnb83HWLDMlQTIuva/xwYOhXDlTC/L4cXdj8gO9d57d\nq6/C9OnmdZs7d8Z+V+2aOY0bw8yZZ/6e022qqVrBUZJHzihLFhg3zgynbdnSzHcVEZH0GT9+Eb//\nfjcQBURx9Gh5xo1bZDsskbAR6pE8x47BggVw662hO2Ykiooy15fZskGnTpCcbDsiCUfTp8OQITBv\nHlxwge1oIsdtt5mSHqFI0CrJExzV5JFzOn7cFDPLmdMUC9VQSBGRM3v00eeZOHEVALlz52HXrrcw\nSR6AAPXqPcH8+YOtxedXfr4G8PO5pWX1aujcGdasCc3xPv/cTP1Yvjw0x4t0hw9D/fqmWO4LL9iO\nRsLJV1+Z1drmzTNLe0toXXstPP+8mdrqpgED4MQJeO45d4/jdarJI67Inh0++MAsP3zvvbrjIiJy\nJo8++jwjR+bn998/4PffP2DXrifJmnUTEAACFCw4kfvuq207TJGwEeqRPJ9+qqlaoZQ7t5n2MW8e\nDB9uOxoJFz/8YGYYTJ6sBI8toVplSyN5gqMkTxo0Z9OM4vn4Y9i61SyzHu43FdWn/qL+9J9w7NOJ\nE1cRCHQhZXoWXE6OHD2oV+8J6tV7grFjL6FlywaWo7QnHPtU7CpUyIz2cKNA73+fj4GAlk4PVmZe\n4wULmiTP6NEwcaLzMfmB3jv/9csv0KiRSQrWrx/cvtSumZeS5Pnv50Gn23TnTiV5gqEkj6RLnjzm\nLtfy5dC3b/gnekRE3JYz5/nMnz+Y+fMHR3SCJ5KtWLGCatWqERMTw7XXXsvKlSsBiI+PJ1euXMTE\nxBATE0PXrl0tR+o9UVFQrJi50Hfbpk2mJs/VV7t/LDlV0aIm0dOnD8yebTsa8aqkJLM6ZceO0L69\n7WgiW+XK8Pff5n3TTRrJExzV5JEM2b8f6tSBBg1g2DBzESYiEqmmTfuM8eMXsXHjT+ze/QpwIQBR\nUWN55JE/GDGij90AI4CXrwFiY2N5/PHHadCgAXPnzmXYsGF8+eWXxMfH07hxY9avX3/O3/fyuYVC\nvXrQq1fwd+3TMnw4bN8OY8a4exw5u+XLzUiqefPgmmtsRyNe8/zzZunuzz9XfVAveOABKFkSevd2\nZ/+BgBlg8OuvkDevO8cIF6rJIyFxwQUQFwdLlpgaPSdO2I5IRMSOk5dJ3717ClmzriFPnqYULNha\nCR4B4JJLLuGPP/4AIDExkUsvvdRyROElVHV5NFXLvurVzZLYbdvCX3/Zjka8ZPVqePFFmDRJCR6v\naNLE3bo8+/ebciGRnuAJhpI8adCczdMVLAgLF5oh1K1awdGjtiPKGPWpv6g//Sdc+vS/y6QnJTXg\n+uvLs3//NCV4/iNc+tRpQ4cOpWfPnhQvXpxevXoxZMiQ1O9t376dmJgYYmNj+eqrryxG6V1uJXlO\nfj7+/jusW+f+SjF+58Rr/PbboVYteOih4OPxi0h970xx6BC0awevvGKmbzol0ts1WHXqwHffmWRM\nCifbVFO1gpfNdgASnvLmNRnc9u3hllvgk0/g/PNtRyUiEjrHjuWxHYJ4QL169UhISDjt8UGDBjFq\n1ChGjRpFs2bNmDZtGp06dWLBggUUKVKEnTt3UqBAAdasWUPTpk3ZsGED+fLlO20/HTp0oESJEgBE\nR0dTuXJlYmNjgX8vqv26ffhwHN9+C+Ds/lPExcWxYAHUqRNLzpz2z1fbcbRsCT16xDJlClx8sf14\nbG+vW7fOU/GEenvECKhRI5bWrb0Rj7bNds6cULGi6Z/Bg833161b59j+d+yA3LnjiIvzxvmGcjvl\n//Hx8QRDNXkkKElJ0K0brFpl5speeKHtiERE3Ld3L1St+hf79m3l6FFTrbVgwYkRv4qWDV6+Bjj/\n/PP5888/AQgEAkRHR6dO3zpZnTp1GDFiBFX+syawl88tFD7/HAYNgi++cO8YbdvCzTebKejiDWvW\nQMOGpk5PyZK2oxFbPvkEevaEtWt1I9mLJkwwn/2mTXN+36NGwebNZgpnpFNNHrEia1Z47TXzx7hW\nrdDMnRcRsemnn+DGG+Hee/MyadJeLZMuZ1W6dGkWLVoEwBdffEGZMmUA2LdvH0lJSQBs27aNLVu2\ncPnll1uL06vcrslz/Dh89hnceqt7x5CMq1LFrOR6xx2q/Rip9uyB+++HyZOV4PGqW2+FBQvMyoRO\n03St4CnJk4aTh07JmUVFwcCB0KWLSfS4vaResNSn/qL+9B8v9+myZXDDDdCjBzz9NLRs2UDLpKeD\nl/vUTePGjaN3795UrlyZ/v37M27cOAAWL17M1VdfTUxMDK1atWLs2LFER0dbjtZ7ihaFXbsgOdnZ\n/aY8H7/6CkqVgksucXb/kcjp13iPHubD/YABju427ETie2dyMtx9t1nBqUYNd44Rie3qtMKFoWxZ\n+Oc+hqNtqiRP8FSTRxzzyCOmKHOdOqZeT9WqtiMSEXHORx+ZO4sTJ5paZCJpqVq1KsuXLz/t8ebN\nm9O8eXMLEYWXXLkgf36zjO7FFzu//08/hcaNnd+vBC9LFvNeGxNjptP9U7ZCIsDIkabg8hNP2I5E\n0tK4sfnMV6+es/tVkid4qskjjps508xtnzJFq1WISOjNng01a0LKwIjERFi6NPNTMgIBGDHCXHjO\nmmU+dIh3+PkawM/nll7XXgujR0O1as7vu0wZc63yn1JI4iHz5kHnzmYFtAsusB2NuG3dOpMwWL4c\nNIPV+777Dv73P9i2zczscEqRIrBihRnNGelUk0c8o0kTU4SrTRuYPt12NCISaWrWNHcAExPN1xNP\nmMcy48QJU1z+nXfMVC0leERCy626PJs3m9ECek17W8OG0KqVuXkY4flO3zt82CyX/uKLSvCEi4oV\nzfS6DRuc2+exY7Bvn6bRBktJnjRozmbm1K5t7r48+KB5s/bSH2b1qb+oP/0n2D6NjjYr8nTrZr4G\nDfp3VE9G/PWXuUP100+mdkexYkGFFdH0OpXMciPJExcXx6xZcNttzt59jmRuvsaHDIGff4axY107\nhGdF0ntn795w9dVw553uHyuS2tVNUVH/Ttlyqk137zYJnqxZHdldxFKSR1xTpYq58z1pkimgduSI\n7YhERNJnzx6zglaRIqZuh1b3ELGjWDF3RvKoHk/4yJED3n8fnnzS2RED4h2ffmoSBa+9psRruElJ\n8jhF9XicoZo84rpDh6BTJ9i+HT7+GC691HZEIuJnKVO0Bg0y2yn/T+9onvXrzR3+++83y/jqgtPb\n/HwN4OdzS68PP4T33nN2+veBA3DZZZCQALlzO7dfcdebb8LLL5taHTlz2o5GnLJ3L1SuDFOnmpsr\nEl7+/tustLV5M1x0UfD7mzTJzAZ5993g9+UHqskjnpUnjyls2KyZKZy4bJntiETEz5Yu/TepkzJ1\na+nS9P3u/PlmJZfnn4fHH1eCR8Q2N6ZrzZtnppUrwRNeOnUySzb36mU7EnFKIAD33GP6Vgme8JQj\nB9StC3PmOLM/jeRxhpI8adCcTWdERZkPTOPGmRoXEybYi0V96i/qT/8Jtk9vvfXUUTvR0elbWeuN\nN6B9e7NUeps2QYUg/6HXqWSWG0meN9+M01Qth4XiNR4VZa4jZ81ydnqIl/n9vXP2bFP37plnQntc\nv7drqDVubN5XnaAkjzOU5JGQuvVWWLzY3CXv3h2OH7cdkYhEuqNHoUsXGD7cvD/VqmU7IhFJcdFF\n8OefztX1O3HCTPdJT+JXvCc62kznuP9+Uxxfwtfx4/DYYzBiBGTPbjsaCcYtt8CaNeZ6KlhK8jhD\nNXnEisREs0zi0aPwwQdQqJDtiEQkEv30E7RsCWXKwPjxKrAcjvx8DeDnc8uI0qXNVIAyZYLf1+LF\n8MgjsHp18PsSe9q3N3WVBg60HYlk1quvwsyZ8NlnmhrtBzVrmuLoDRsGt5/y5U2Zj4oVnYkr3Kkm\nj4SV6Ggz1LZaNfP13Xe2IxKRSDN9OtSoYeoBTJmiBI+IVzk5ZStl6XQJb0OGmJWYfv7ZdiSSGQcO\nwHPPmVE8SvD4gxOrbAUCGsnjFCV50qA5m+7JmhWGDjVFUW++2aygEQrqU39Rf/qP23167Bg8+qj5\n+vRTePBBXWS6Ta9TCYaTSZ5PP4UiReKc2ZmkCvVrvGhRM+2/T5+QHjbk/PreOWiQqdFpa7SGX9vV\npsKF45g1yyRqMisxEbJkgfz5nYsrUmWzHYBI27ZmCHbz5rBqlcnsa26uiLhh5064/XYoWNDMHy9Y\n0HZEIpIWp5I8W7fCH3/AFVcEvy+xr1cvuPJKs3pizZq2o5H0+uknePtt2LDBdiTipBIlIFs2Mzvj\n6qsztw+N4nGOavKIZ/z6K3TsCL/9Bu++q4swEXHWvHnQoQP06AG9e5u7RRL+/HwN4Odzy4g33oCv\nvw5+Zc6XXoKNG039LfGHd9+FkSNh+XK9p4eLli3hmmvMqrviLw89ZEbZZXaE3axZ8PrrZtU1MVST\nR8LeRReZYdR33QXXX28u5nRtKyLBSkoyxQDvvRemToW+ffVhQCScODWS59NP0dLpPtO2rZn+P3my\n7UgkPZYsgZUrzc0W8Z/rrzerF2bWzp1QrJhz8UQyXeamQXM2QysqytTHiIszd2ZatYLff3f2GOpT\nf1F/+o+Tfbp3L9Svb0YBrF4NtWs7tmvJAL1OJRhOJHn++MN8uLz5Zj0f3WCrTbNkMdeL/fr5c0l1\nPz1Xk5PNynZDh0KuXHZj8VO7ekVcXBzVqgWX5NF0LecoySOeVL68eZMoXtzM6/ziC9sRiUi4WbTI\nDAm//nqYPx8KF7YdkYhkRrFi5g5vMKN7P/sMatWCPHmci0u84brrTAJ/2DDbkci5vPuuqdnSpo3t\nSMQtl18Ohw/Dnj2Z+30leZyjmjzieZ99Bp06wZ13mqLM551nOyIR8bLDh81d3Q8+MNM+Gza0HZG4\nyc/XAH4+t4wqVMjU07noosz9/j33QJUq0K2bs3GJN+zcCZUrw9q1+pDoRYcPmyLZU6eaGy/iX40a\nwf33m9XTMuqGG2DwYLjxRufjCleqySO+1aABrFsHmzZBjRrmXxGRM1myxIz+++03WL9eCR4Rvwh2\nytby5fpw6WfFipnp/n372o5EzmTECPP602vQ/4KZsqWRPM5RkicNmrPpDRdeCJ98Ap07m+HW48Zl\nfti2+tRf1J/+k5k+PXQIHn7YLI8+fLgZFn7BBc7HJpmj16kEK5gkz8GDEB8PFSqYbT0fneeFNu3d\nGxYvhmXLbEfiHC+0a7D27DF1k4YOtR3Jv/zQrl6T0qaZTfKcOAEJCXDppc7GFamU5JGwERVlhv8t\nXgyvvQbNmsG+fbajEhHbFi82o3f274fvv4emTW1HJCJOCybJs3q1eY/Int3ZmMRb8uSBIUNMcd/k\nZNvRSIqU1S1LlrQdiYTCtdeaIvcZfQ3u2WOm4+p92hlK8qQhNjbWdgjyH1ddBd98A1dcARUrwqRJ\nGRvVoz71F/Wn/6S3Tw8dgu7dzRK6I0aYJXQLFnQ3NsmcSH2dfvvtt9SoUYNKlSrRpEkTDh48mPq9\nIUOGcMUVV1C2bFnmz59vMcrwEEySZ8UK88EjRaQ+H93klTa94w5ISoL337cdiTO80q6ZtW4dzJ5t\n6uR5Sbi3qxeltOlFF0GBArB5c8Z+X1O1nKUkj4SlHDnMlIwZM+DFF6Fu3Yy/mYhI+Fq0CCpVggMH\nTO2dzBT4E3Hbvffey7Bhw/juu+9o1qwZw4cPB2Djxo1MnTqVjRs3Mm/ePLp27Uqyhh6cU7BJnmrV\nnI1HvCllSfW+fc2NALEnEICePeHppyF/ftvRSChVr57xKVtK8jhLSZ40aM6mt1WrZoYENm5sirk9\n8wwcPXru31Gf+ov603/O1ad//QUPPQTt2sFLL5mRfBq9432R+jrdsmULtWrVAqBu3bp89NFHAMyY\nMYO2bduSPXt2SpQoQenSpVmR2UqVEcLJJE+kPh/d5KU2rVnTfL3wgu1Iguelds2oTz81NVY6d7Yd\nyenCuV296uQ2zUxdHiV5nKUkj4S9bNmgRw8zJPS778zd/c8/tx2ViDgtLs7U1fjzTzN6p0kT2xGJ\nnFv58uWZMWMGANOmTWPnzp0A7Nmzh6JFi6b+XNGiRdm9e7eVGMNFZpM8CQkmOVyqlPMxiXc9/zyM\nGgW7dtmOJDIdPw6PPWamUmfLZjsaCTUleezTyy4NmrMZPooWhenTYdYsuOceuOEGM5XrootO/Tn1\nqb+oP/3nv326e7cZev/ll6boeuPGduKSzPPz67RevXokJCSc9vjgwYOZMGEC3bt357nnnqNJkyac\nd955Z91PVFTUGR/v0KEDJUqUACA6OprKlSuntmfKndNI2L74Yti/P47586F+/fT//tdfQ7VqsURF\neet8/LYdGxvrqXguuwxuuSWOjh1hwQL78QSzncIr8aRne8IEyJcvjpw5AezH899trz1f/bCd8lhs\nbCwxMfDttxl7v167No4iRcCLz5dQbqf8Pz4+nmBEBQKZXYjaO6KiovDBaYiDDh0yU7cmToSBA01V\n/yxZbEclIhlx5Ii5C/jSS2Zlvccfh7x5bUclXhMu1wCbN2+mffv2LF++nKH/rCXct29fABo2bMiA\nAQOoXr36Kb8TLucWKpdfDvPnQ+nS6f+dJ580q3M++6x7cYk3/fUXXHmluflXpYrtaCJHcjKUL29u\nyvg4vy9pqFwZxo1Lfz20q6+Gt9+GmBhXwwo7mb0O0MfeNPw3iy7hIU8eU5h54UJ46y0zqmf9evM9\n9am/qD/958sv4/jwQyhXzkzDXLUKBg1SgiecRerr9LfffgMgOTmZgQMH8sADDwDQpEkTpkyZwrFj\nx9i+fTtbtmyhmioDpykzU7b+u7IWRO7z0U1ebNO8ec1y6i++aDuSzPNiu6ZlwQI47zyoXdt2JGcX\nju3qdf9t04xO2dJ0LWdpupb4WqVKsHQpjB8PN90EHTvqroKIl337rbkoDwRgwgSoU8d2RCKZ9/77\n7zN69GgAWrRoQYcOHQAoV64crVu3ply5cmTLlo0xY8acdbqW/CsdtDowAAAgAElEQVSjSZ5AwCzO\n8N8kj0SOe+4xI8D27OGfqSDitpdfhocfNiPoJHJVqwaLF6fvZ//8E44d00IaTtJ0LYkYe/dCr17m\nDkO/fvy/vXuPi6pa/wf+AcHCVNA0L4AHD5e4D4MoakqgopKiQGpa3vWUWip2jnbO73TKOmV2zC6k\nVvo17aJpFniHLp7IK2oCUmGGCokopgiKt7i4fn+swyhymQFmZs9sPu/Xi5fuYS7PXmvPzObZaz0L\nTz0lrzQQkfIuXJDTKpKSgJdeklMsWayRDKHmcwA171tjPP+8/N5+4QXD7p+TAwwaBPz2m2njIsv2\nzDOAk5Ocvk+mdfw4EBYm33OyHg81V1lZwJgxwC+/6L/vzz8Do0YBx46ZPi5rw+laRHp06gR8/DGQ\nnAzs3An4+ADr18u5w0SkjLIyWXPH1xdwcJAnAzNmMMFDRDU1dCTP3UunU/M0Z46sDXLjhtKRqN+7\n78ol05ngIT8/uXBGSYn++3KqlvExyaMH52yqT0lJKpKTgdWr5ZDSHj2AlBQ5rJusD9+j1is5WU6p\n/OorOaT3rbeAdu3Yp2rEPiVjaGiS5/Dh2pM8PB6Nz5Lb1MtLHgfr1ikdScNZcrveraREXjydNUvp\nSPSzpna1Fne3aYsWsuD5Dz/ofyyTPMbHJA81W+HhQFqanCISHy9r9jSkQBgRNc4PPwBRUfJ9t3Sp\nTPb4+CgdFRFZOo7kocaKjwfefpsX9Ezpww+BoUNZ+4hu69ULOHhQ//2Y5DE+1uQhAlBRIZftW7gQ\n6N1bruTz4INKR0WkLocOyXo7WVnA3/8uh3SzLhY1lZrPAdS8b41RWiqnXl+7pr+oa3m5rMNSWAi0\naWOe+MhyCSFHjr75JhAZqXQ06lNZCXh4ABs2AKGhSkdDlmLTJuDTT4EtW+q/34QJsn7apEnmicua\nsCYPURPY2clCrzk5Muvcrx/w5JNyLikRNc2BA/Lq3ujRQHQ0cOIE8PTTTPAQUcO0aSNrfRQV6b/v\njz8C3bszwUOSjc3t0TxkfNu2yQQsEzx0p6qRPPpyFBzJY3xM8ujBOZvqU1+fOjgACxYAv/4qa4ME\nBsoRB4acUJIy+B61XPv2AYMHA+PGAXFxMok6YwZwzz31P459qj7sUzIWQ6ds1TdVi8ej8VlDmz7+\nuKzTdPy40pEYzhraFbi9bLq1sJZ2tSa1tWm3bjLBc+ZM/Y89fRpwdTVNXM0VkzxEtWjXDnj9deDo\nUaC4GPD0BGbPBk6dUjoyIsu3Z48cdjthglw+89df5cg4jtwhoqYyRpKHmicHB+Cpp4CEBKUjUZes\nLPk9P2qU0pGQpbGxkZ/D9dU8rawEzp4FXFzMF1dzwJo8RAY4d04uC7lypSzQPH8+0LOn0lERWZbv\nv5c1d377DfjnP2WSx95e6ahI7dR8DqDmfWusZ56RqyXNmVP//fz9gY8/lqu7EFU5e1Yu7XzqlLyg\nR003bRrw5z/L732iu/3738DVq/LieW3OnpWf04WF5o3LWrAmD5EJdekCLFoE5OYCffvKqxXh4cCO\nHcCtW0pHR6QcIYDvvpPvh+nTZdG8X34Bpk5lgoeIjM+QkTylpfL7OiDAPDGR9ejaFRg+HPi//1M6\nEnW4cAFITJSjdYlqExpa/0ge1uMxDSZ59OCcTfVpSp+2aSML9504Ib/Qnn9enkSuWQP88YfxYiTD\n8T2qjOvX5UlycDAwc6a8knfsmEzyNDW5wz5VH/YpGYshSZ70dFlTr67PIh6PxmdNbRofL0dnV1Qo\nHYl+lt6uK1cCsbFAx45KR9Iwlt6u1qiuNg0JAY4ckdOyasMkj2kwyUPUCPb2soBferosNrdhgxyq\n+vrrQEmJ0tERmc6JE8Czz8ov5G3b5DGfnS2nZtnZKR0dEamdIUke1uOh+vToAfzpT0BSktKRWLfy\ncmDFCusquEzm17490LmzHOVdGyZ5TIM1eYiM5OhR4I035BSuyZPllSJ+aJEaVFYCycnA8uXyaszU\nqXKVLDc3pSMjUvc5gJr3rbHOnJEJnLNn677P6NFATAzwxBPmi4usy5dfAkuXAvv3Kx2J9frsM+CD\nDwAOiiF9xo8HBg4Epkyp+bs5c+SF8vh488dlDViTh0hhGg3wyScy2WNrC2i1wNChwOefcyoXWaei\nIuA//wE8PGThvHHj5BWXxYuZ4CEiZXTpAly8WP/3KkfykD4jR8pE4cGDSkdivaxt2XRSTn0rbHEk\nj2kwyaMH52yqj6n71NVVjujJz5dTWFauBJydZaY6M9OkL90s8T1qfD/8IK+2eHjIqViffy5PhCdO\nBO691/Svzz5VH/YpGUuLFrJ4bkFB7b8/f14WXvbwqPs5eDwan7W1qZ0dMHu2TFRYMktt14MH5Xtt\nxAilI2kcS21Xa1Zfm/bqVXdClUke02CSh8hEWrWSQ8W//RY4fFjOSR05Uo7wefddOUqCyFJcuQKs\nXStXQRg1CvDxAXJy5G09eyodHRHRbfXV5Tl8WH5m2diYNyayPtOnAykpcgogNcw77wDPPCOTrkT6\nBAXJmjw3btT8HZM8psGaPERmdOsW8N//ytW4duwAhgyRIyYiI/lFSeZ344Y8Dj/7TCYjq5ZBf+QR\nHo9kPdR8DqDmfWuK8eOBwYPl6MK7vfCC/K595RXzx0XWZ84coHVrYNEipSOxHgUFgL8/kJsLODkp\nHQ1Zi5AQICEB6Nv39m3XrgEdOsgVW5mYrx1r8hBZAVtbYNAgYN06+eUYHg7861+yvsnzz8uVi4hM\nqbxcJnYmTJBTHj74QCZ18vKALVuA6GgmeIjIstU3kof1eKghZs8GVq2Sf2SSYd57T64wywQPNURt\ndXny8wEXFyZ4TIFJHj04Z1N9LKVP27UDZs6UQ8t37pQnGH37yp8lS4Bff1U6QutgKf1pySorge++\nA556ShYtXbRITss6dgz45htg2jR5PFoK9qn6sE/JmOpK8ggh/4jQN8WUx6PxWWubenoCffoAn36q\ndCS1s7R2vXlT1pqcM0fpSJrG0tpVDfS1aWhozSQPp2qZDpM8RBYgIAB48005L/zFF4FTp+QoH19f\n4B//kMXKbt1SOkqyJkLI4yY+XhYDf/ZZwN1dLoG+b5+cS9+5s9JREhE1XF1JnpMn5dSbLl3MHxNZ\nr/h44O235fcm1W/9eqBHD+DBB5WOhKxNXSN5mOQxDdbkIbJQt27JVY42b5bTaIqL5SoGMTFARARw\nzz1KR0iWpqwM2L9fFpL8/HPA3l4uez52LODtrXR0RKah5nMANe9bU/z0EzBmjFz9707r1wOJicAX\nXygTF1knIQCNRo6iHjJE6WgsW3CwHA08dKjSkZC1uXVLjho/dQq4/35524svyn9fekm5uCwda/IQ\nqYytrcx6L1oE/PwzkJoqR2K88grQqRPw2GOyYG5JidKRklKEkCtgLVsma+l07AjMny+Xhv3iC7mS\nwcKFTPAQKeXo0aPo06cPAgMDMWLECJSWlgIA8vLy4ODgAK1WC61Wi1mzZikcqXWpGslz93kv6/FQ\nY9jYAHPnAsuXKx2JZTtxAjh7VhY9J2ooW1tZfPnw4du3cbqW6TDJowfnbKqPtfapl5f8A37vXuD4\ncbki1/r18sNx8GBZsf7o0eY3rcta+7OxLl8GkpKAGTNk0i88XE7BeuIJOVXh8GGZCAwOtt5Cds2t\nT5uD5tqn06dPx3/+8x9kZWUhNjYWS5Ys0f3Ow8MDGRkZyMjIwIoVKxSM0vq0bSuT2cXF1W+vWj5d\nn+Z6PJqStbfpqFHyYtqVK0pHUp0ltevmzcDIkfKPdWtnSe2qFoa06d1TtpjkMR0VvE2Jmp9OneRS\n19u2yasqM2YAP/4oh6/ff78c1bFkifwgLS9XOlpqispK2Y+vvAL07y9XIXjvPVkscutWWcdpzRo5\nJatDB6WjJaI75eTkoH///gCAQYMG4csvv1Q4IvW4uy5PeTmQmSnrhRA1lKMj0K8fkJysdCSWKykJ\niI1VOgqyZkzymA9r8hCpTGEhsGcPsHu3/MnNBXr3BsLC5E+vXsC99yodJdXlxg35h8qhQ7K+zq5d\nMqk3ZIj86d8faNVK6SiJLIclnwM89NBDWLBgAUaOHIk333wTCxcuxJUrV5CXlwd/f394enrC0dER\nr7zyCvr161fj8Za8b0obPhx48klZqw4AMjKA8ePl9Gaixli1Cvj2W2DjRqUjsTyFhYCPD3D+PNCy\npdLRkLUqKAC0WnkcCSHPZy9d4nltfRp7HsAkD5HKXbokp3hVJX2ys+VUnrAw4OGH5dKhrVsrHWXz\nVFEh++PwYZnUOXxY1tHx8ZHJuNBQYOBAuToWEdVO6XOAyMhIFBYW1rh90aJF8PLywpw5c1BUVIQR\nI0YgISEBFy9eRFlZGa5du4Z27dohPT0dMTEx+Pnnn9GmTZtqz6H0vlmyWbPkCpTPPCO3P/gASEuT\nIxuJGuP33+XU+MJCXgy72wcfyOlsn32mdCRk7Zyd5SqvDg6Avz9w4YLSEVm2xp4H2JkgFlVJTU1F\neHi40mGQETW3Pm3fXl7prLraWVoKHDggEz7//res59Ktm1zGPSAACAyU/7q5Wce8a2vpTyHkqKqq\nhM6hQ3LEjrOzrCHRqxcwZQoQFMSTS2vpUzKcmvv0m2++qff3X331FQDg119/xY4dOwAALVu2RMv/\nXQ4PDg6Gu7s7cnJyEBwcXOPxkydPhpubGwDAyckJQUFBurasqoHQHLe7dQP27k2Fv7/cPnQIcHJK\nRWqq/sdX3WZJ+2Pt23e3rdLxNGY7OzsV3boBu3aFY9gw5eNJTU1FZmYm4uPjFXv9qu2kJCA01LD3\nlzVsq+F4tbTtt99+26Dvp9DQcBw8CBQXp6JdOwCwjPgtZbvq/3l5eWgKRUbybNq0CQsXLsQvv/yC\nw4cP13pSAwApKSmIj49HZWUlpk+fjueee67W+5nySleqik9Mmyv2aXV//CELOf/4o/zJypL/lpQA\nfn41kz9Vyx5aCkvrTyHkVcATJ+TKVzk5siD2oUMyeVOV0OnVS9aOcHJSOmLLY2l9Sk1nyj615NEu\nFy5cQMeOHXHr1i1MnjwZAwYMwOTJk3Hx4kW0a9cOLVq0wKlTpxAWFoaffvoJTnd9IFjyvilt/XpZ\nl2zDBrkdEACsXWtYTR5+xhifWtr07bflOdDq1UpHIllCu16+LEcUFxQAdw02tFqW0K5qY2ibLl4s\nR+/07Qt88oks6E11s6rpWr/88gtsbW3x1FNPYenSpbUmeSorK/Hggw/i22+/hbOzM3r27InPPvsM\nPj4+Ne7LkyAi4ysuBn766Xbyp+rnvvtuJ358fOQXv6urLAisli9/fYSQw7qrkjh3JnROnJDJHE/P\n2z/+/jKp07Wr0pETqY8lnwMkJCRg+f/WZX700UexaNEiAEBiYiJeeOEF2Nvbw9bWFi+//DKGDRtW\n4/GWvG9K27sXWLBA1i67elXWLisuZr0Qapq8PHkx5tw5uYIbySla69YB27crHQmpwX//C7z4IhAX\nJ0e4JyQoHZFls6rpWt7e3nrvc+jQIXh4eOiGKI8dOxZbtmypNclDRMbXrp0s8vu/hWEAyORGfv7t\nhM+ePXJ1pzNn5O329jLZU5X0ufPfqv9bev2fsjKgqEheZbh48fa/585VT+S0bAl4eNxO5MTGyn89\nPDg6h4ikOXPmYM6cOTVuj4uLQ1xcnAIRqUe3bvJ7BwDS0+WFByZ4qKnc3OT5yt69AAd6SFxVi4yp\nRw9ZKD8oCPjTn5SORr0sNkddUFAA1zuqjbq4uODgwYNmj4PD+dSHfdp4NjbyxLpbN+Dui85CyKuo\nVQmfqn93766+fc89MtnToYNM+LRuLUcAVf2/vtuqfgBZtLiiQtZkCAkJ123X9/PHH7IQ9Z3Jm6p/\nq/5//bqcktahA9Cxo/y3Qwegc2dZ16gqkdO+vfnbv7nge1R92KdkbF27yhGV5eVyOmyvXoY/lsej\n8ampTePiZGLDEnZH6Xa9eRP4+mtg2TLFQjAJpdtVjQxtU0dH+XdESgrw6qumj6u5MlmSp77VJqKj\no/U+3sbGpkGvx8KE3DZ0OzMz06LiUdN2+/ZAVlYq7rsPeOqpmr8XAti2LRW//w64u4fj6lXg4MFU\n3LgBODvL7fT0VFy/Djg6yu3Tp+XvbW3ldnGxfL5WrcJhZwdcu5YJBwegb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"text": [ "" ] } ], "prompt_number": 7 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Further information about NTF synthesis\n", "---------------------------------------\n", "\n", "Please refer to `help(synthesizeNTF)` for detailed - and possibly more updated - documentation!\n", "\n", "###`help(synthesizeNTF)` as of writing:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "Help on function synthesizeNTF in module deltasigma._synthesizeNTF:\n", "\n", "**synthesizeNTF(order=3, osr=64, opt=0, H_inf=1.5, f0=0.0)**\n", "\n", "Synthesize a noise transfer function for a delta-sigma modulator.\n", "\n", "**Parameters:**\n", "\n", "order : *int, optional*\n", " the order of the modulator, defaults to 3\n", "\n", "osr : *float, optional*\n", " the oversamping ratio, defaults to 64\n", "\n", "opt : *int or list of floats, optional*\n", " flag for optimized zeros, defaults to 0\n", "\n", "* 0 -> not optimized,\n", "* 1 -> optimized,\n", "* 2 -> optimized with at least one zero at band-center,\n", "* 3 -> optimized zeros (with optimizer)\n", "* 4 -> same as 3, but with at least one zero at band-center\n", "* [z] -> zero locations in complex form\n", "\n", "H_inf : *real, optional*\n", " max allowed peak value of the NTF. Defaults to 1.5\n", "\n", "f0 : *real, optional*\n", " center frequency for BP modulators, or 0 for LP modulators.\n", " Defaults to 0.\n", "\n", " 1 corresponds to the sampling frequency, so that 0.5 is the\n", " maximum value. A value of 0 specifies an LP modulator.\n", "\n", "**Returns:**\n", "\n", "ntf : *tuple*\n", " noise transfer function in zpk form.\n", "\n", "**Raises:**\n", "\n", "ValueError\n", "\n", "* 'Error. f0 must be less than 0.5' if f0 is out of range\n", "\n", "* 'Order must be even for a bandpass modulator.' if the order is\n", " incompatible with the modulator type.\n", "\n", "* 'The opt vector must be of length xxx' if opt is used to explicitly\n", " pass the NTF zeros and these are in the wrong number.\n", "\n", "**Warns:**\n", "\n", "* 'Creating a lowpass ntf.' if the center frequency is different\n", " from zero, but so low that a low pass modulator must be designed.\n", "\n", "* 'Unable to achieve specified H_inf ...' if the desired H_inf\n", " cannot be achieved.\n", "\n", "* 'Iteration limit exceeded' if the routine converges too slowly.\n", "\n", "**Notes:**\n", "\n", "This is actually a wrapper function which calls the appropriate version\n", "of synthesizeNTF, based on the module control flag `optimize_NTF` which\n", "determines whether to use optimization tools.\n", "\n", "Parameter ``H_inf`` is used to enforce the Lee stability criterion.\n", "\n", "**See also:**\n", "\n", "* `clans()` : Closed-Loop Analysis of Noise-Shaper. \n", "\n", "An alternative method for selecting NTFs based on the 1-norm of the \n", " impulse response of the NTF\n", " \n", "* `synthesizeChebyshevNTF()` : Select a type-2 highpass Chebyshev NTF.\n", "\n", "This function does a better job than synthesizeNTF if osr\n", " or H_inf is low." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### System version information" ] }, { "cell_type": "code", "collapsed": false, "input": [ "#%install_ext http://raw.github.com/jrjohansson/version_information/master/version_information.py\n", "%load_ext version_information\n", "%reload_ext version_information\n", "\n", "%version_information numpy, scipy, matplotlib, deltasigma" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "
SoftwareVersion
Python2.7.5+ (default, Sep 17 2013, 17:31:54) [GCC 4.8.1]
IPython2.0.0
OSposix [linux2]
numpy1.8.0
scipy0.13.0
matplotlib1.3.1
deltasigma0.1-2
Sat May 03 11:14:48 2014 CEST
" ], "json": [ "{\"Software versions\": [{\"version\": \"2.7.5+ (default, Sep 17 2013, 17:31:54) [GCC 4.8.1]\", \"module\": \"Python\"}, {\"version\": \"2.0.0\", \"module\": \"IPython\"}, {\"version\": \"posix [linux2]\", \"module\": \"OS\"}, {\"version\": \"1.8.0\", \"module\": \"numpy\"}, {\"version\": \"0.13.0\", \"module\": \"scipy\"}, {\"version\": \"1.3.1\", \"module\": \"matplotlib\"}, {\"version\": \"0.1-2\", \"module\": \"deltasigma\"}]}" ], "latex": [ "\\begin{tabular}{|l|l|}\\hline\n", "{\\bf Software} & {\\bf Version} \\\\ \\hline\\hline\n", "Python & 2.7.5+ (default, Sep 17 2013, 17:31:54) [GCC 4.8.1] \\\\ \\hline\n", "IPython & 2.0.0 \\\\ \\hline\n", "OS & posix [linux2] \\\\ \\hline\n", "numpy & 1.8.0 \\\\ \\hline\n", "scipy & 0.13.0 \\\\ \\hline\n", "matplotlib & 1.3.1 \\\\ \\hline\n", "deltasigma & 0.1-2 \\\\ \\hline\n", "\\hline \\multicolumn{2}{|l|}{Sat May 03 11:14:48 2014 CEST} \\\\ \\hline\n", "\\end{tabular}\n" ], "metadata": {}, "output_type": "pyout", "prompt_number": 8, "text": [ "Software versions\n", "Python 2.7.5+ (default, Sep 17 2013, 17:31:54) [GCC 4.8.1]\n", "IPython 2.0.0\n", "OS posix [linux2]\n", "numpy 1.8.0\n", "scipy 0.13.0\n", "matplotlib 1.3.1\n", "deltasigma 0.1-2\n", "Sat May 03 11:14:48 2014 CEST" ] } ], "prompt_number": 8 } ], "metadata": {} } ] }