{ "metadata": { "name": "", "signature": "sha256:1755cb44ff303bb8bcaddc837e449fadd65f66ec4c99b08b43b4a09d118b17ed" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "code", "collapsed": false, "input": [ "from __future__ import division\n", "%pylab inline\n", "from numpy import *\n", "import csv\n", "from scipy import polyfit\n", "style.use('bmh')" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] } ], "prompt_number": 1 }, { "cell_type": "markdown", "metadata": {}, "source": [ "###Tensile testing\n", "\n", "Tin babbit, grade 3.\n", "- thickness: .14-.15\"\n", "- width: 1.18\"\n", "- l0: .56\"\n", "\n", "Aluminum 6061\n", "- thickness: .061\"\n", "- width: 1.03:\n", "- l0: .56\"\n", "\n", "###Hardness testing\n", "\n", "- ball bearing diameter: .25\" \n", "- in babbit: 1000, 2000, 3000N\n", "- in aluminum 3000,2000,1000N" ] }, { "cell_type": "code", "collapsed": false, "input": [ "f = array([1000.,2000.,3000.])/9.80665 #kgf\n", "diams_b = array([2.17,2.90,3.61])\n", "diams_a = array([1.12,1.596,1.9])\n", "D = .25*25.4\n", "def brinell(f,d,D):\n", " #brinnell formula for force f (kgf), indentation diameter d (mm), and sphere diameter (mm)\n", " return 2*f/(pi*D*(D-sqrt(D*D-d*d)))\n", "print brinell(f,diams_b,D)\n", "print sum(brinell(f,diams_b,D))/3\n", "print brinell(f,diams_a,D)\n", "print sum(brinell(f,diams_a,D))/3" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "[ 26.74215119 29.1721835 27.23810286]\n", "27.7174791832\n", "[ 102.69177548 100.30591051 105.42400297]\n", "102.807229657\n" ] } ], "prompt_number": 100 }, { "cell_type": "code", "collapsed": false, "input": [ "import sys\n", "\n", "#files from instron\n", "files = ['instron_data/2.28.2015.tensile/Specimen_RawData_1.csv',\n", " 'instron_data/2.28.2015.tensile/Specimen_RawData_1.csv']\n", "names = ['Babbit Gr. 3','Aluminum 6061']\n", "data = {}\n", "for i,f in enumerate(files):\n", " with open(f, 'rU') as csvfile:\n", " reader = csv.reader(csvfile, delimiter=',', quotechar='\"')\n", " for j in range(6): reader.next(); #skip some rows of header\n", " cols = reader.next() #get column headings (in first row)\n", " units = reader.next() #get column units (in second row)\n", " data[names[i]]=array([ map(float,row) for row in reader])\n", "l = array([.56,.56])*25.4 + 10. #for jaw taper\n", "w = array([1.18,1.03])*25.4*.5 #for jaw engagement\n", "th = array([.145,.061])*25.4*.15 #for jaw engagement" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 85 }, { "cell_type": "code", "collapsed": false, "input": [ "figure(figsize=(8,6))\n", "discard = 30; #discard first samples for fixturing\n", "elastic = 300 #number of sample to include in elastic line fit;\n", "colors = array([[105,210,231],[243,134,48],[167,219,216],[224,228,204],[250,105,0]])/256.\n", "for i,sample in enumerate(names):\n", " ext = data[sample][discard:,1]\n", " strain = (ext-ext[discard])/l[i]\n", " load = data[sample][discard:,2]\n", " stress = (load-load[discard])/(th[i]*w[i]) #normalize by area\n", "\n", " line = polyfit( strain[:elastic], stress[:elastic], 1)\n", " tt = array([strain[0],3*strain[elastic]])\n", " plot(tt,line[1] + line[0]*tt,linestyle=':',linewidth=2,c=colors[i])\n", " plot(strain,stress,label='%s, %.1f GPa'%(sample,line[0]*1e-3),linewidth=2,c=colors[i])\n", "\n", " \n", "xlabel('tensile strain')\n", "ylabel('tensile stress ($MPa$)')\n", "legend(loc='lower right')\n", "title('Tensile testing')\n", "plt.ylim([0,600])\n", "plt.xlim([0,.05])\n", "show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAgEAAAGNCAYAAACIfKJfAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text": [ "" ] } ], "prompt_number": 92 }, { "cell_type": "markdown", "metadata": {}, "source": [ "###Ziploc testing\n", "- first two samples, stiffened\n", "- second two samples, unstiffened\n", "- all 2 cm length" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import sys\n", "\n", "#files from instron\n", "files = ['instron_data/3.1.2015.ziploc2/Specimen_RawData_%d.csv'%(i+1) for i in range(4)]\n", "names = ['Stiffened 1','Stiffened 2','Naked 1','Naked 2',]\n", "data = {}\n", "for i,f in enumerate(files):\n", " with open(f, 'rU') as csvfile:\n", " reader = csv.reader(csvfile, delimiter=',', quotechar='\"')\n", " for j in range(6): reader.next(); #skip some rows of header\n", " cols = reader.next() #get column headings (in first row)\n", " units = reader.next() #get column units (in second row)\n", " data[names[i]]=array([ map(float,row) for row in reader])" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 103 }, { "cell_type": "code", "collapsed": false, "input": [ "figure(figsize=(8,6))\n", "discard = 0; #discard first samples for fixturing\n", "#elastic = 300 #number of sample to include in elastic line fit;\n", "colors = array([[105,210,231],[243,134,48],[167,219,216],[224,228,204],[250,105,0]])/256.\n", "for i,sample in enumerate(names):\n", " ext = data[sample][discard:,1]\n", " #strain = (ext-ext[discard])/l[i]\n", " load = data[sample][discard:,2]\n", " #stress = (load-load[discard])/(th[i]*w[i]) #normalize by area\n", "\n", " #line = polyfit( strain[:elastic], stress[:elastic], 1)\n", " #tt = array([strain[0],3*strain[elastic]])\n", " #plot(tt,line[1] + line[0]*tt,linestyle=':',linewidth=2,c=colors[i])\n", " #plot(ext,load,label='%s, %.1f GPa'%(sample,line[0]*1e-3),linewidth=2,c=colors[i])\n", " plot(ext,load,label='%s'%(sample),linewidth=2,c=colors[i])\n", "\n", " \n", "xlabel('tensile extension (mm)')\n", "ylabel('tensile load ($N$)')\n", "legend(loc='lower right')\n", "title('Tensile testing')\n", "#plt.ylim([0,600])\n", "#plt.xlim([0,.05])\n", "show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAfIAAAGNCAYAAADq5fPEAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzsnXmYHWWV/z+n6q69b9kXSAg7YQ9LEtagDDggguKKG46K\nDsMszojjuM2MMzoz6jjOKP5kVHRUUBA3XEBUJMiSsAWCCUkgZN+6O73dtarO74+6fbtvr9Xd996+\nt/N+noeHrv29J1X1rfOe855XVBWDwWAwGAzViTXdDTAYDAaDwTB5jJAbDAaDwVDFGCE3GAwGg6GK\nMUJuMBgMBkMVY4TcYDAYDIYqxgi5wWAwGAxVjBFyg2EGIyLfFJEHBi1/UkS2TGebJoqIHC0inois\nnO62GAyViBFyg6FE5MRnrP9eKkMzbgZeP2TdlItHiIgjIm+f6nlGOO9WEfnEkNU7gLnAE8W+nsEw\nEwhNdwMMhhnM3EF/rwLuAc4A9ubWuaVugKr2jLBainHqIp1npPMWrlD1gAMluJbBMCMwHrnBUCJU\n9UD/f0BnbvXBQeuOFpH7RaRHRA6IyD0isrj/+P5ucBG5WkQ2iUiviPxWRJYN2qdBRL4hIntFJCUi\nO0Tkc4O2F3Stj4SIvEpEHhGRhIjsEpGvi0jLGPtvB2zgG7meBXfQtrPG+U0Lc+sOikhSRLaJyIdy\n234HHAN8YlCvxeKhXeuDlt8gIj8Tkb7ced4xpJ1Lcm1Jish2EXmfiPxORL42lj0MhmrDCLnBMA2I\nyEnA74BHgLOAS/A99AdEJDpo13nA+4E3AyuBeuDrg7b/M76XfzWwDHgj8MKg7coYXekicinwI+C7\nwHLgGuBo4IdjNP/sXFtvwe91mDeB3/Tl3G9YAxwP3Ajsym17HbAd+I/ceecO2jYSnwG+mWv3ncDt\nInJsri0C3Ju71gXAa/FtdPpY9jAYqhHTtW4wTA9/B/xMVT/Vv0JEbgA6gD8BfpxbHQVuUNX23D7/\nBnxPRCKqmgEWA0+r6rrc/ruARwddRxi7C/zjwBdV9X8GteOdwHYROU1Vnx16gKoe8nWSrlzPQpDf\ndDnwk1x771XVDblddgw6b2fOu+8dfN7ctUbiS6p6d26fj+HnA1wMbAEuA04FlqnqS7l93sbYHwYG\nQ1VihNxgmB5WAMeIyNAYdhTfs+5nT7+I59iLL8yz8UXpy8A9InI28CDwS+BXGnw2pBXAuSJy85D1\nmmvHMCEf51yj/aZjc3//J/BVEbkC33u/T1UfnsA1BvNMvrGqnogcAObkVp0EHOoX8dw+nSKyeZLX\nMhgqFiPkBsP0IMC38LuHh9Ix6O/MkG39Am0BqOr9uRj05fje6P8Bz4nImlySWJB2fAb49gjb9gc4\nfui5xvxNqvpNEfklfq/DJcAvROReVb1hgteCkW1jDVkeqY0Gw4zCCLnBMD2sB04b7DFOFlXtxI8R\n3yki38DvWj8R2BiwHadMoh0Z/IS3oeca9zep6j782PY3ReQXwHdF5CZV7R3lvJPhBWCWiCwd1LXe\nDBwHrBvzSIOhyjDJbgbD9PAvwIki8n8isiKXYX2JiPyniCwJehIR+bSIvE5Ejs8ler0N6GFQ7Hkc\nPg68VkQ+JyKni8gxIvInInK7iMTGOO5l4FIRmScibUF/k4j8t4hckbvOycC1wI6ciPefd7WILBKR\nNhkjQD6SOfr/UNUH8MMC3xaRs0XkNPxehywm2c0wwzBCbjCUj7yAqOom/Cz0OuBX+N7z/wNiDAxV\nGy3jfPC6JPCP+N7wOuAU4IpB48eHnqNgWVV/B1yKnxj2e3zx+zzQjS96o/E3+Jnp28l1wQf8TeDH\nyZ8DHgLiwBWDtn0CaAI25867aITfPNLySOteB/QBD+Mn2t2XO29qjN9lMFQdEjwnpogXFWkCbgdO\nxn/43oWfaXoXcBT+y+F6VT1c9sYZDIYZiYjU4ycI/v3gLH2DodqZLo/8i8DPVfVEfE9gE3Ar8ICq\nHoeffXvrNLXNYDDMAETkKhG5MtfFfy6+o+AC35/mphkMRaXsHrmINOKPe106ZP0m4CJV3S8ic4Hf\nqeoJZW2cwWCYMYjIG/FzAI7G72JfD3xIVV8Y6ziDodqYDiE/HfgqflbpacCTwF8Cu1S1ObePAB39\nywaDwWAwGEZmOrrWQ8CZwJdV9Uz8L+WCbvRcMQuTWWowGAwGwzhMxzjyXfjed/9YzruBjwD7RGSu\nqu4TkXmMMNvR1VdfralUirlz/UmlamtrWbZsGaeffjoAzzzjF3o60pf711VKeyp5eevWrbz+9a+v\nmPZU6vLQe2u621Opy+Z+Cr589913m/f3CMsAzz77LPv27QPgmGOO4Stf+cqYwzCnK2v998B7VPVF\nEfkkUJPb1K6qnxWRW4EmVS3w1N/+9rfrF7/4xTK3tvr4zGc+w623mlzBIBhbBcPYKRjGTsExtgrG\nLbfcwre+9a0xhXy6KrvdDHxHRCLANvzhZzbwfRG5kdzws6EH9X+hGMZmx46gtUAMxlbBMHYKhrFT\ncIytise0CHluRqUVI2y6rNxtMRgMBoOhmqmqym6XX375dDehKnjLW94y3U2oGoytgmHsFAxjp+AY\nWwXjtNNOG3efaYmRT5YHH3xQzzzzzOluhsFgMBgMZeGpp55izZo1Y8bIq8ojH5zVZxidtWvXTncT\nqgZjq2AYOwXD2Ck4xlbFo6qE3GAwGAwGQyGma91gMBgMhgplxnWtGwwGg8FgKKSqhNzEyINhYk/B\nMbYKhrFTMIydgmNsVTyqSsgNBoPBYDAUYmLkBoPBYDBUKCZGbjAYDAbDDKeqhNzEyINhYk/BMbYK\nhrFTMIydgmNsVTyqSsgNBoPBYDAUYmLkBoPBYDBUKCZGbjAYDAbDDKeqhNzEyINhYk/BMbYKhrFT\nMIydgmNsVTyqSsgNBoPBYDAUYmLkBoPBYDBUKCZGbjAYDAbDDKeqhNzEyINhYk/BMbYKhrFTMIyd\ngmNsVTyqSsgNBoPBYDAUYmLkBoPBYDBUKCZGbjAYDAbDDKeqhNzEyINhYk/BMbYKhrFTMIydgmNs\nVTyqSsgNBoPBYDAUYmLkBoPBYDBUKCZGbjAYDAbDDKeqhNzEyINhYk/BMbYKhrFTMIydgmNsVTyq\nSsgNBoPBYDAUYmLkBoPBYDBUKCZGbjAYDAbDDKeqhNzEyINhYk/BMbYKhrFTMIydgmNsVTyqSsgN\nBoPBYDAUYmLkBoPBYCgph7IeWYV5kbF9x25X6XCUo6PGx+wnSIw8VK7GGAwGg2Fm4KjiKEQEHIUe\nV/lVl4MAOzMerkKNJRxwlKVRi5fSHgCLIkLMGl2TtqT8/ZpsOOz6686utbm8MUTcApEx9eyIpaqE\n/JlnnsF45OOzdu1aVq9ePd3NqAqMrYJh7BSMmWSnrCoPd7v5ZVtge9rjxZzYjkev5/f29os4wM6M\nAv763ev+wIIVK0c89vDAZVnf57K+zyUicENbmKUxe4K/ZOZTVUJuMBgMhuLgquIpIHAoq9zTkcVV\naAz5Xu+WgII9GsvjFtszHhfXh6i3BQ+IDnKon2wMcVZbuLBNQNqDmAXfPpQt2JZR+N+DWVbWeVzZ\nFDLe+SBMjNxgMBhmOO1Zj10ZJZt73/d48OsuZ8LnOSVu8XzSoy0kXNYYYnPSJaPwqsYQs8Kli2tv\nTbnccTBL/6fFsTGLd86KlOx6lYSJkRsMBsMRhKqSVfDwY9U/6shSawu7M8EdtutaQtTl4tgphbhA\nU0iIW0KdXagny2vK0829LGbziYUW3z6UZWvKY0vKY0PC5dQyXb/SqSohNzHyYMykOF2pMbYKhrFT\nMKbDTilP+WPSY2fG4/Fed9j2w26hiJ9ZayP4Y4/3ZT3ilvC2tjB2mbuqJ2qrkAjvmhXhnvYsTyVc\nftiR5ZS4hWW62KtLyA0Gg+FIJuspLrA3ozzc4+ACW8eJZcctuLo5jAUsjVrU2FUofG4WbD+efmVz\niKcSLlmFdX0u59YZGTMxcoPBYKhgVJUXkh7fbc+Oud+ymMUraY+FEYsL6m2Oj1dJt/O+jcjhXcjh\nV9B4M9K9B61pBc+F2jbklcewtj+CNi0CVaRrFwC7G45h8zF/ykUNIaTjZfSoc9FFK6b5xxQfEyM3\nGAyGKiTpKV/Ym6bPg1oL+oY43VHxh4Nd1RzOx7BLmWwWCM8FzwH18styaAvyzF1YO54Y2G3hWZDr\nDpfufXlhHg85vLNgeUH3NhY8/cWBFc/9EG0+Gm/l+9HF50ztt1QZVSXkJkYeDBPPDI6xVTCMnYIx\nFTv1usrmpMuLKY/nkwPKPVjEl8ctrm8Nlz8u3NeO7HkGPXoVhGPgZKB9G9bLa+HQNqydT4x/jhzW\nricBePilHi5YWj/mvt4xF0O4Btm1Hl1wBvQdQg5uATfNjrbT2R9uZHnfNuId2wCQzu3Y992K89ov\nwPzTJv1zq42qEnKDwWCYabiqPNTt8mD3yMPB3tEWJmIJiyNSOgFXhUwfWLbvSW/8CfbjtwO+B90v\nvgA66zhofwnxJj58TWtb8U67HpqPxlv3LO6K0yDdA7F6tG4O1LRAz36IN/mefd2sUc/1aHuGpxMe\ntIQ4M/kK0rMP+5cfA8DacDfeESTkJkZuMBgM08ALSZctSY8n+gozzZfHLVrDwqUNoeJmkmeTyJ5n\n0cYFWH/8Odq8GDwP+6HPTfhUiiAM1w6N1KKzT4DZJ+Cd8SaI1Baj5SNyd07Ir20OcVZ/wltfO6Fv\nvQENRXFv/Jn/YVLlmBi5wWAwVBgHsx7fa8+yP1sohMtiFtc0h2kOFVG8U93YP7oF6Xxl0qdwL/4Q\n1M4CdUFsNByD1mMgUgOdO3yvOd0LVghqmovX9nEQfDsVWLG2Fa1tQ/oOQe9+aJhftvZMJ1Ul5CZG\nHgwTzwyOsVUwjJ2CMZadNif9sc+9QxLXTq+xWNMYoiU0hWS1fRuxtj+KNszFfujzEzpU556M7NuI\ne/77wMmgZ7wR7IBV05oX+/8PxyfY4CLcU6N974Rr/P876cmfu8qYFiEXke1AN35p3ayqniMiLcBd\nwFHAduB6VT08He0zGAyGYpHxlDvbs2weMt771Y0hltdYExPwTAJQ5LkfgecgbgbZuwHZt3HcQzUU\nxVt5EzTMg0wSIjXo/FODi3a10N+drlOrFV9NTJdHrsDFqtoxaN2twAOq+m8i8uHc8q2DDzr99NPL\n2MTqxXhOwTG2CoaxUzD67eSpsjHplxJ9ckgM/JIGm8sawyMdXkjHy8iBzUjXblAX6+k7xz1E55+G\nhqIFw72c62+H1qUT+yFlYKr3VL9DPixSL7kPI88IeTkY2jFyNXBR7u87gN8xRMgNBoOhknFUeTnl\nx8DTQxRmedziVY0hWsca7+1kkB2PIxt/UpApPhoaqfPF+4TL0fp50HYMAEeOhI1Av5Abj7zkKPBr\nEXGBr6rq14A5qro/t30/MGfoQSZGHgwTzwyOsVUwjJ1Gp7/y2iM9Dn945JGCObZbQsJJcYtLG0JE\nrRGCuqrIlgch1Y314gPIwc2jX6e2De/kq6FpEbgOetyaUvycslGye8oyQl4uVqnqXhGZBTwgIpsG\nb1RVFZHqGRdnMBhmPJ5q3svemHB5LumNWue8zoLrW8MsjVqF82Z7LjgprHV3IM//GADxhpde1brZ\neBf+JRqtQ/ra0YVnQbSu6L+pmhm9a70/Rj58ApmZyrQIuaruzf3/oIjcC5wD7BeRuaq6T0TmAQeG\nHrd161Y+8IEPsHixnynZ2NjI8uXL8191a9euBTDLZnlCy/1USnsqcXn16tUV1Z5SL/e5yt2/fZh2\nx+OC1avxgK/c/3uAvMe9e90fhi03h4SPh18mtvcZ1j60l31du/3z22HWrtuA9fy9+WpmD7/UA5Bf\nfqhvEdJ3iFU3/iO68Kxcew6zevVF026PUiz3r5vs8Zsee4TdKQ9efWHB9otyXetrH3sS2g5XzO+d\nyPto7dq17NixA4Czzz6bNWvG7n0pe0EYEakBbFXtEZFa4H7gU8BlQLuqflZEbgWaVLUgRm4KwhgM\nhqniqpJRiAis63XpdJUL6kN8rz3D9rRyTNRiW3r0btlYzhWMuklSrtKa2MMtD/8FTt0crNoWrP1/\nDNwW7/jL0YVn+UVUmhZO9acdUdzbkWV9n8trm0OcM2gGNPtHf4ns3YB79efRBdWfIF2pBWHmAPfm\nuptCwHdU9X4RWQ98X0RuJDf8bOiBJkYeDBPPDI6xVTCq2U4djscraeWXh4eP4e5nbc9AN+y2tMeJ\n+x/nuAPrSYdqmN27k+y802jpeJHFO3476nVCvft5eMPWEeuHeyde6f8hNlg2uvgc9KjzpvS7qp2p\n3lOjda2rWP42EyMvHar6MjDsMyk3FO2ycrfHYDDMHDTnbVsCrvoTkXxhX2bMY2w3S9SyiPft4+9+\n92cj77T/sfGvPfdkvDmn4644FbJJsCNobRs0LvQnGjGUB8vEyCsaM448GNXqOU0HxlbBqEQ7bU66\nbE551FtCrQ0Hs8ofesd+eS/vfI4VHU8Rn7WUtT0eq/b8hqP2rwt0Pe+EK7E2/Ty/rLOPx1t+HXrc\ngP+xihGSrwwjUqxx5MM3jD+O3HGTWBLC9dK4XgZLQmhu0F7YrsOyqkoaq0vIDQbDkU3GU5Ie/Nte\nv/ymqIflubh2YYEVUY+wmyKuLhe/+D2OS75Ck5sg1D+864/wllGuobEmvIv+Eq2bDdF6pGsPOudE\niNbhXfKhEv46w2QYluY1aBy5qqLqksp24LopPB0+QmAoKdqxrAielyFkx4lHZmFZAQr4TCNVJeQm\nRh6Mao5nlhtjq2BMp516XeX33Q7tjrIpN9xrbvfLnLXrQVa9/GPsInShqh3Gvf52f4z20G2NCwKf\nx9xPwSmFrVSV1IKToWUuRKMkEy9N6jye54djHDdJT3IHdfFF2FbllrKtKiE3GKqVjKfszHh8/aDv\nEZxZa7OmIURTMWe6mik4GVyEnx/qoXvnM7xj/T9zRuNxbJqzgne9+B321h/NvJ7tgU+nsQZ0wRno\nia8BJ4U2LgQ3A64DdW1gRyHeWLrfYygJfr60YuHhemlSmQ4cNwHHnj/usbYVIxpuRnFBQcTCssJ4\nngMCjpMg43Tl909nD1MTnV26HzNFzHzkBkOJ6HKUR3ocnk+6dI3gNEYELm8McU6djVXMeaerEfXo\n2vJ7sjvWM3fLz8ffv/+w+rnguUjfwWHbvEVn4132UYgZkZ5pqHps7DnEbKuX6Ci1w8LJBFI/l3Co\njpA98dnZANKZTlLZDkJ2DbWxeVNp8qSp1OFnBsOMp9fVfBx3KM22MD8ibEx6/PSww4aEy+tawswa\nqwb3TEIVa/0daKSWLUuuYPuzP+fSTXfQ6iSH7epIiJA6Beu8U6/zPex4M8w5cWBDNgV9h8x47BmG\nqksyfQhFcdw+LAnjaZZFduF+gkU00kLo6bsIv/ALdNXNaNvyKV3bynenV7bDW1VCbmLkwTBxuuAU\n21Ydjsfn9g4f7lRvw9/NixZ43hsTLj/pzPJKRvnSvgyXNoa4oN7GrkDvvCh2yiaRbb/H/u1n86tO\n+MNXOGHQLh3x2aRDcZItx9K04s00zFqCM/xMIxOOTbuIm2cvOGPZKpPtxnGTZN3eYduGJqz1aJy5\n8ea81211HcBKduEWIXeiv7xupfdcV5WQGwyVzJO9Dj/sLJSdi+ptzqy1abBlWPf5yTU2S2MWvzjs\n8GSfywNdDs8lXK5tCbMgMoO880QH9o//Gjm8Y9RddjcdR3rVn5NqO4FZEYvFE5mj21A1DM4izzoJ\ndJDYqnokM+04bpKx5m8Lh+qJhOp4vCfLL3siXNEUZqE9SMr6x5EXZRrT/vvQCHnRMOPIg2E8guAU\nw1Z7Mh53tWc55Aw87MfHLN7aFh7Xu45bwrUtYU6tsfhRh8O+rHLb/gw3zYkwv4LEfMJ2ctLI1t9i\n//bfhm06WLsAS102zV5BS+Msjj3/LcyRyvmtU+FIfvY8dck6Pf4YbSuMhY2nTr57OpU5VLD/mSuO\noTuxPcCZLWqiswiHCieN6dQsHiN43UWcxlRyo9XVCLnBMHO5/3CWh3oKXyZ/2hTi/PqJPVrLYjZ/\nMdfizvYsm1MeW1JeRQl5YNRDtvwG+8F/GXHzbed/FnfeqVzVHObcavx9hjyqHp46pDLtqCquNyjH\nYVK92oIgRMKN2FYE245hyfjPUUlnP+v/EDdd68XDxMiDYeJ0wZmsrfZlPL43xAu/riXEmbWTf6Qi\nlnB83GJzyis4byUwrp0SHVjP3IX17A8KVmesKJtnn813zrqVsGXz4flRYiPNyz1DmOnPnqqfcJbO\nduF6qYBHCZFQPa7nJ3/WROdiWaG8rTJOLwLDPO5JU1TxNR65wTAjac96fGn/QELb0VHhhrZIUQSq\nLTeuvD1bRRM+dLxM6K4bh61+YtHl3HPaLdRa8NaWMMuiFuEZLOKTxU+kGhAKRck6vaQyh4hF2gYE\nTj1SmQ5Codoxh1MJFn6M2SpI1uovQaqeQyrbSTTcOCgr25csERvNd0lrfjnj9AzrGh98vWikOVcw\nxULVw7bCiFh46mJJuHBO9iFEJingo5doLd49JqPPel5RVJWQmxh5MGayR1BsJmqr/RmP/xok4tc0\nh1hRV7zHqC2X5HXAUVR1zBdgORlmJ89Fnv4e9hNfH7bvbed/lpdb/WE/b2oNs7zGHrbPTCXI/eR6\nGbJOH75QWqQy7aPum8ocGiagI2VyTwbH7Zv0sSIhouFGIqHGMe9RW0b/ty/We6qkEmu61g2GmcXv\nuh0e6BrISv9gCRLSGmyosSDhwSFHmRWuDCEfjOx+GvsnfzNs/Z2n/w0b555PJlRDsy28f06EOrvy\n2l8u+j1tRUmmD+C4CWwrNoEuaR/JZU77UuIVrBt2zTGyvX36vfWh5y7sFRiLWKSNSKhh2j8yy3F1\nk+xWAkyMPBgzPU5XTILYylXl9gMZdmQGHuZ3zwqXJBlNRDghZvNUwmVDwmVNY2UkhK1du5bVq1Yh\nz/8Ie+2XCrbtmH0GXzn7U3i5GaOWRS3e3Bae0bHw0Vi7di3nnncmrpckne1m6DCqsUTctqLYVoxY\npHXSIul6GTLZrvzfg69XE51HOFQz6rHp7GHS2cP5toTsOKlMOyI29fFFyBje9WQo2nuqtC55OS4y\nZapKyA2GcuOq8sV9GdpzyWfzwsKNsyPESyhSR0WFpxLQWUkJb5k+rF98FOuVgXm5vVnH8e2V/8oL\nrh+vjQpc2xLmlCOoK933uv0YctZJkEjtJ5HeO+r+sUhbPhNbxMK2onjqFG1CDtuKEI/OmtSx0XAT\n0XDTsHWVTimfksEfVJUU6hpKVQm5iZEHw3jjwRnLVk/3udzdMVBF6rQai+tbSz8DUiT3kZCtEB2X\nXU9y0a7bkb6BWO4rF3yELzdekB9mdHLc4i1tlTs7VLHJOr14Xpa001VQ1OTc8wfeUSG7BhAi4QbC\n9uiesC1Hjt0GM+X5yMumqQL50IMRcoOhamjPegUivqLW5pqW8sxJ3B8Wn3YhdzJYj9+OteFuAHTu\nKWhtK12ZLLfVr8zvdnqNxXVlss100J/x7Th9/pjpEePQgm1FiEVaUFUsK4Jd4XNYz3yK8wAJkst0\n0AqVcUbJmKhQnnnmmeluQlWwdu3a6W5C1TCSrZ7pc/n8voHM9MsbQ2UTcagQId/zLPYd12FtuBsV\ni4eiq3Ff+wW+dvpH+Mxp/4CXK4N546wwb2iNzMjZ27JOH8lMO92Jl+hJbCeZOThMxENWnJroHBpr\nl1IXX8hjjz5FOFRrRDwAxXpPDX9MinwvVkHmuvHIDYZBbE66/GCQJ/7e2RGOipb3ezece3E40/Hi\ncB2sB/4J6+WHAVArhPva/8Td0s4DPR4vpX0ha7ThfbOjNM6g+dTzdcAz7ThesqDLHPwMb8XDkhDR\ncDO2HStabLtScVXzZYaznoctku9g9nLbpituXL6rVn7melUJuYmRB8PEyIMz2FYbEy7fbR8Q8Y8t\nmJ4qZKFp8shl5zrsn324YJ13+afonnUiv86mcbt9YVsSFd4zO1rexpUIT13SmU5U3RHHZwsW4VA9\n0XATljX+67Jan72E6/ByMkFYLDyUGstmZypJjxt47jkATqtvZF40FmjfarGV37UOlZy5XlVCbjCU\nimf6XO4Z5Im/sXX6hk9FcpfNlPG9Idsfxf7FR/PL3klX4a36IC9kbb6zZ2Be9blh4Z2zqt8L9YU7\nQTJ9YNg2wSYcriNs12Fb0YrNVB5M1vNQoM912JLopSubJW6HiNsWBzMDYSIBzm9qISTCxt4eDjtZ\nGkMhOrLZUc89EZ7t6WJfOsWp9Y1lm4635I+JSC7XzQh5UTDjyINhxpEH5ze/f5iXTzg332V8Ub3N\nqxpD0/ryrs19QPS5ZXhxZBJY676ZT2gDcK6/HVqX0u0q3znki/judX/g1isu4oR49Q4tc70MidS+\nYfNZD2BRG5s7ZvnT8Sj1s3cgnWJPOsVhJ0tqnGk6e12H3iHzhijwh8MdBetGEvHZkSgRy6IjkyFi\nWRx2ssyJRNmf8e+HedEYfY5D9wge+/5Mmhf7ejmxrn7M9k3VVuV6QquhKExVCbnBUExUlUd6HVI5\nET+3boiIq0K6B1CwIxCe/At+IsQssIGUQlY1HzMvOp6Lfec7CoaVOe+4G2pahoUZ3tgaqkoRzzoJ\nEul9jOa3WRIiFmkjZNdUlOftquKqLx0be7s5kEmPe4wAIRGyE/Qcj6+poz4UIuN51IZCRMUiZk/8\n39pR5Y+93exOp3gllWBBLEZDaCYk/fXfF5U7/0FVCbmJkQfDeOPjo6r8174MqeXnA76IX9U0IOJD\nu5oBvKNX4V3xTyVvmyVCc0g45Cg70h7HxEogoHueJfTjv8ovektW4V38txBr4LEeh58eHvC03jUr\nzLJFFxa/DSVC1SXr9JFxuvMzbg0lGm4mFmmZ0nU6sxmiloWr8GJfD83hCIvPOpMNPV1YCPWhEBHL\n4lAmTdy2ac9kaAiFmReN4aoSEsEWoSObIaMeWxMTr33eGArT5WQ5tqaOY2pqAx2zJ5UkZFnMjhQ3\nzyEkwskqnDSNAAAgAElEQVR1DexO+9XkticTnFrfOOr+Ja+1XqSu8METz1QqVSXkBkMxUFV+2Olw\nIFc57Ywai6ubB3kOBzYPE3EAa/sj6IZ70FOvK3kbl9dY/LbbZV2vW1whV0VeeawwHn76m/DOfy8A\nf0y6BSJ+05wIC6tg3vD+sd7pTAcZp3vYdsEiHp2dm+M6mD1VFUeVXakkmxOFiXA1lk3CK+y3PpjN\nFCwzwjdEp5PllVQi0PXBH8Ew2MNuDoVZFIsTs22aQuFJDfubHytdz5IlwqqmFh453MH+dAqntp6Q\nVZr7p3zFU/vbb4S8KJgYeTBMjHx00p7ypX0ZOnPx55rnHuX1V14ysEPnDkL33JRfdC/5W7RxIaEf\n3QKA/cj/oFt/i3vFpyE+urcxVc6otfltt8tzSY+TE+7UZxDLppBtD2GtvwPp2Zdf7bz+Nph1HAAP\ndmX5TfeAOH1yQTQ/7Wil3lOqHt2Jl0fcFrJrCNnxcWfoGkzCddifTuMBWxKjzzI2VMT7eeHxJzjp\n3HMCXWssFsXiHF9TVzIRLCX1oTD1doge16HXdWgaZYhepd5TQzExcoOhgkh5yj/vTucfxyVR4fj6\n3CPguViP/DfW8z/O7++86ZvQvNj/+z33YX/nbUiyE9n/AqFvvg73NZ9FF68oSVtbQxbzwsLerHJn\ne5atKY/XNocmV3glk8C++/1I1678Ko014b7hNqibDcDOtFcg4h+ZH63YucNVlazTQzJzEEsKY7CC\nRShU44/zDjDGW1XJqrI10cuOVDLQ9etsm+Nr6/FU8/8ebi6XQWrrOaOhibhl46ni4Xv1YbHIeB79\nJnVzdbsl97cFNIUjRKpQuEei3y5lkb5SX8QUhCkuJkYejGr4yi03qsq/7xkQ8Vc3hrioIQSzL4B0\nL6GvX12wv3Pt/+RFHIBwHPed9yDr7sBefwcA9n0fxrnmizBveUna/O5ZET6dG/q1vs9lU9Ll1vkT\nGA7lOtg//AByaGt+lc5djnfKa9FjL82vW9/rcG+n350eE/jw/Gi+3ns/lXBPeZ5DOttZ0HU+OAM9\nHplFJNww7nk6sxn2p9NsH6eLuzUcwVVleX0DtXawV+XlF18caD9D8Wqtl1zHjUduMEw/qsr/HsyS\nyj2Hr20OcU5dCPY+j/Xkt7B2rs/v6y27FG/VB6Bm5EQoXfEOnGWXELrznQDYv/wY7jvvLckMDjW2\n8Pfzo/zicJanEx69HvzDrnSwQjXZFKHbryxY5S1/Hd7qmwvWHXY0L+IA758TGSbi043nOSQzh3Dc\n4clgYbuOSLhxzPHejnpkPeX3nYdGfRXbIriqNIfCnFBXT0gksHgbZjqVP5VpVd2pJkYejGqJPZUD\nzU1DetBR5nVt4/otdzA3bGHtfAKAh1/q4YKl/nhX99Jb0eNfPf5Jmxfj3HAnoW+/CUl1Q8dL0HpM\nSdpfawuvb41gS5b1fX7X9z/tHkfMnfQwEXfeez8MEaadaY/bDgwkaH1iwXBPvJ9y31OqSjJzkKzT\nM2ybYFETm0fIHr2CWNrz2NLXy6FsetTx1nW2Ta/rsryugQVFSgAzz55PkE/BqrGVyVo3GKaXX3U5\nHHSUiJPkLx++edh2DcdxL/so2rYMmo8KfuK62ejsE5ADm5B9G9ESCXk/1zSHeD7h5nsV/ml3mvfN\njrB4aB149bDv+WB+0Vt+Ld65Nw4T8a0pl28cLKwpXwmeuKpLOttFOts5ZIsQDTcSsuPYVnxE79tT\nJeN5bOrrYd8Y466XxGuYH41THzKvv2qmXH6yGI+8uJgYeTCq4iu3DDzYleXhHpf6VAf/8Ou3FWxT\nO4x34V+x8oQ/mfTj6Z1wBfaBTcieDejJV49/wBQQET62MMbD3Q6/7PK7wr96IMM72sIc11+opa8d\n+1vX5ytDu6tvRpe/rrDNqtzf5fBwz0Bi21/OjTArPHaSVanvKU9dehLbR9wWi7QSDTeNuE1V2ZVO\nsrF3uOfez+xIlNPrG8syQ5t59oJTPFsNeYKL/u9shNxgmBae6nP5TbeLqMcNT/1rfr132hvwVryz\nKFXaNOfBDx7OVWouaAhxdNTKd4nfcSjLxxZYxCzBfuAf8yLunXDlMBEH2JT0CkT8b+dFaZrGGcyy\nboJEau+w9bYVIxpuImTHESn8yFBV+lyX53q76XKGlxeNiMX8WIyWUITakG1i3YYpUQ0FYapqrIOZ\njzwYR/p85K+kPe7pyGJ7WT5x/5s4qmMjAO5Ff4238qYCEZ+SrZoXowgc2gKZ4EU+psqiqMXfzRuo\nyvV0n4s8831k73MAuFf8M94lHxp23KGsx3dyZVct/Nndgop4se8px02QynSMKOLx6Gzq4gsIh2oL\nRLzPdXi2p4tftR9g7eH2YSIesywubG7j0tZZnFBbz+xotOwifqQ/exNhqrYqn59sPHKDoawMrhH+\nZ49+hHjWL+rhHXUeeuKVYx06ceJN0LYMObTFF/P5pxX3/GPQGBJe3Rji/i6Hg+27sB+9DQDv6JXo\n0SuH7e+p8rVBiW03zYmUfXY3VcXTLIn0fjyvsAqa74E35zzwgXa5qrRn0rySStI+tHJajuNq6pgb\njVEzifrghmqmPPevGX5WZEyMPBhHapyuy9G8iL/r8Y+zpPMFANzz34ee/sYRj5mqrTQn5NK+DS2j\nkAMcH7N4sDPLtb94d36d96qPD9tPVfnsnjS9ueTtt7aGmT/BsqtTsZPrZck63aSzh4dti4Qac8PH\nCgu79M+PvXOUIi1L4jUcXzv27FrTwZH67E2GKY8jL1I7xr+QKQhjMJQFR5U7DmUQ9fj4/W+iZrAn\nPoqIFwNt87PV5dBLZf9enxMWLt/2/fyy84avQaiwmpmqck9HNi/iVzeHOGmq5V4D0l//vDe5Y9i2\neGQW4VD9MO+7M5thffdwwY9ZFifW1hOxLJrD1T8fuqF4mIIwJkY+IznS4nR9rvIvu9Pszyon7H8i\nL+LashTvyn8Z89ip2qp/2JkcenFK55kM1u6nuWjzdwB4+sS3QlvhEDhV5Uv7Mzyd8FX8zFqbc+sm\n9+0+UTu5XpaexPZhmegiIerii4mEG/Iifjib4YXebh5oPzBMxI+O1bCmZRYXt8xiTjRW8SJ+pD17\nU6H0tiqW8JoYucFQcn7d5ZBWQJXrtv5ffr177X+X/uKzjkNDMb8Mal871LaW/poAvQewf+ontPWF\nG7h/2fUMLRT7fNJjf9Z/+SyNWlzbXPrHPZPtJpk5OGStRdiuIRppyXeh+3NtK3/s7clPezmYOjvE\nOY3NM6b2uKH4jN61XtxO92rIWq8qITcx8mAcSXG6zUmXJ/pcLM/lk7+5gWjK9+ica/8HwqNX/upn\nyrYKx2H28bDnWeTgi2jt+VM7X0CsBz+T//sLF99Gj4ZxcnNcA7yUcrkzly9wao3FG1un5smOZydV\nj57kDlQLZwWric4hHKrLL3uqbOjpGrFgy5J4DUvitVUt3kfSsxeEsaSvaPORl1xfjUduMJSMQ1mP\nbx3yxeqtT/5LXsS9098Ec04sWzt0/mnInmeRF+9Hj56CkKtC125C33s7atm41/5PforRAtq3Ye3x\nw0zu5Z9Eo03gQcKDBhu6Xb+2fD9XNYWHn6NIDJ6JbDC2FaUmNi8/97eqctjJ8njX0IptMD8a4+S6\nBuwyFGwxlIey/EuWL9st9//KFfKq+vQ1MfJgHAlxuh5X+cI+fzjSmhe/yyn7HwXAO/OteOe/N/B5\nimErL1ef3dr2EPLsDyZ3kgObCN22htD33g6AeC6hu9+Pfee7kR3r/H0yCeSPPyf0/T8DQFuXoksv\npCY3jCzhKgnXz1Dv54NzItTYU3/jjWQnz8vSnXhpmIg31CylLr4QS/ypPF/s6+VX7QeGifj8aIyL\nW9o4tb5xxoj4kfDsFYtijSMvNQNd6yPX7K8EjEduqEq+d8gX8eV71vLqF/24uDbM9+uKl5uG+ejs\n45EDm7H/8BXchvnoklVjH6MKPfuxHv8asvNJJN094m7SuR37vg+jYoFlI+6Ap+2++hMA1NqAA32e\n8r32ge1/Njsy4WFmQVD1SGU6yDhdBetrov5EJiKCox4H0mk29Bb+rqhlcWxu3Hdohoi3YXoxBWGq\nTMhNjDwYMz1O9+2DGV7JKKIub3n2cwCoWLjXf23C5yqWrdyr/oPQ/14F+FObOu+5b+QysNkU1lPf\nwXrqOyOexzvhCrxL/hYAeeFn2A993v9bPXAHPAJ3zUegaREAERFA+UOPyyHHf9lc3xLm6KETqkyB\nfjsl0wcL5gMHsCRMXXwBIjZpz2Xd4XZ6XWfYOc5tbK74rPOpMtOfvWJSLePIJddxXcnDz6pKyA2G\nJ3odNqV8QXvfxv/Ccv1uZPdd9xalfvqkidTivOteQt/w65vb93wA97ovF7Yp0YH9f29B3OEVyrwl\nF+Cd/gaYc3J+nZ70pzjHrvFnM8v04J31dnTZJeCkoLZt4NK5N1q/XY6PWZxWW7yx4qoefal9uF5h\ncZawXUss2oYlIZKuy+879w971UXE4pT6BlrCYUJSVZE8Q5UwqrwWKwsu75AbIS8KZj7yYFTNPL8T\n5Nk+lx93+p7e6n0PsWT7AwB4p1wD0clV+SqqrWKNuJfeiv2bzyCdrxC6/TV4R52HZJPQtQfpK4wl\ne2fdgHfOu8Y+ZziO+6avF66L1hXuMqSL+tqW4iW3pbOHSWXaeezRJznv/LOAfg98ESJCxvPYl0rw\nQl/h7GMRsTi2tpZFsZqitaUamKnPXimYqq1G9ciL7Kobj3wURMQG1gO7VPUqEWkB7gKOArYD16vq\n8PJOhiOWPRmP73f48d+6dCdXrf9sfpu3evg849OFHvcqvIMvYj33QwCsVx4bto+78iZ06QVQP7co\n13QHvWD+am6EuiIkt6kqifR+HLevYH1NdA4huxYRoddxWHu4vWC7BaxqbjUzjhlmECZGPhq3AC8A\n/W7UrcADqvpvIvLh3PKtQw8yMfJgzESP4Du55DYb+LvNA4Ve3Ms/NaX5h4tuKxG81X+Od/LV2He9\n249t5/COuRjvso+CVdwSqbszAy+YtnHmFQ9C1ukjkd7P4BfXRReuIRpuAWBvOsX2ZILuQXHwuZEo\nC2Nx2iLRoac7opiJz16pKNo48qKcJeC1VAvKClcKZRdyEVkIXAl8Gvjr3OqrgYtyf98B/I4RhNxw\n5OGp8q1DWQ7n6ozceuBeojv8oWbu5Z/0PdtKpHkx7tu+B+oih3ehjfOhYX5JLjU/IhxylIWRyb9g\n/KpVSjJzkKzTm18fCTUQi7SiCIeyGZ7uPszQQThnNTQx6wgXcEP5Ke/wMz+h1P+v8oR8OrJPvgD8\nLRS8D+ao6v7c3/uBOSMdaMaRB2MmjWW942CWLbkkrkulnYYn/Mx0bVyALpm6iJfUVnWzoH4uuujs\nkok4wGuawlzWEOKGtsllhKsqvcmddCdeHiTiQjwyi3h0Fi7Cf/78Zzw5SMRrbZsTa+u5vHW2EfFB\nzKRnrxiMlR9WXbaq7IlTyuqRi8ifAgdU9WkRuXikfVRVRaQyrWUoK8/2uWxN+9JxWlx49c/8WLjG\nm3Hf+L9T6lKfSdTZwiWNk3uU/W70fQXrQnYtNVH/W/r5nm66nGzB9nMam2kOhSuyi9Fw5FGOZHIR\n8a+jWokOedm71lcCV4vIlUAMaBCRbwP7RWSuqu4TkXnAgZEO3rp1Kx/4wAdYvHgxAI2NjSxfvjwf\na+n/wjPL1b+c8pQv/OohAE46byXXtz/E2o07AVh582fAjhTtev1U0u8v9bKqx4O//Smul85noz/2\n6JPEI3NYufoCdqWT3P3ggyhw0rnncNK557Bt3XpOqWug5YILpr39lbzcT6W0Z7qWX3j8CbyaOq68\n5JIRt/evm+z5n3/0EXb3uXBJ4f14Yf+5n/4j2jWrSL9Hcs/HTi688OKS2q//7x07/Ol/zz77bNas\nWcNYyHTN6CIiFwEfymWt/xvQrqqfFZFbgSZVHRYjf/DBB9UMP5v59LrKF/elyc2+yT/Mj1D3reuQ\nVBfesZfhXfb309vAKifrJEik9xass604NdE57Ein2TRkKNn8aIyj4jU02CHjhRsC8fjhDjqdLCsa\nmmmNlKYI0Npuh190Oayqs7myeWDIpfXwf2E9/yPc1X+OLr+2KNfqSezA0yx18UXYVnmLGj311FOs\nWbNmzAdvuis09H9FfAZ4lYi8CFyaWx6GiZEHo7piT8O5tyObF/E3tYap/eXfIym/HKi36oNFvVa1\n22oiqHokM+3DRLyhZgmx2Dx+f7ijQMRbwxHOqG/k1PpGnnvscSPiATiS7qepMmVb5W7Hsrii/fd+\nhRaFmbbBnqr6EPBQ7u8O4LLpaouhctiQcPMVyq5sCnGKewhrxxMAuBf8BcQbp7N5VYuqR3fi5YJ1\n8egcbCvGjlSKPw7xwk+ta2B+bBor5RmqmnJ885Xzs1JMslvxMOPIg1GtY1mfS7jclZv0o96ClbUW\nof99JwDe0gvRU64p+jWr1VYTIZE+QNYpFOqa2CL2ZR029hYWdAmJcG5jM/WhwupwR4KdioGxU3Cq\ny1aVXRSmqoTcMHNRVX7WOZAd/RdzItj3fRhx/Frq3qmvn66mVS2qSjrbUSDiYbuOaLiZzckUO1ID\ntdMb7BCn1jdSFzKvBEN1UQ5pHZjKtDKFfLpj5BPCxMiDUY1xuu93ZOnNxcU/Oj9KTceLWLueBMA7\n4U9g3ikluW412ioImWw33YmXSGcHKh3XxReRsVt4oLMzL+LzozHOa2xhZXPrmCI+U+1UbIydglMt\n85EXXq0yhdx8fh/BJD3FVaixwJrGRKYtKZcNuey2ixtsamzBeuFnAHgLz8K7+EPT1rZqJJXpJJ3t\nyC/bVgw7PJsNvX3sz6Tz61vDEZbXNZgkNsPMpIiaa2LkRcTEyAdIesq2lMfSqMXLaY+joxbb0x4n\nxa1xY08ZT7mrPZtPKgN4c2uYU2qKWwM8CClP+b9Dfpd6TOCyhhCy4wmsP/4cAO+890IJp7+srjjd\n2HhelkT6YMF0o/HobJ7tc2jv6yjYd1lNLctq6oaeYlRmkp1KibFTcEpWa70UH6b5rPWhBYorg6oS\ncoOPp8pndqdxRtl+6/wo9WPMgPW1Axn2ZAtv/++1Z7k5JMyNlC/aoqp8eX8GJ9eUW+ZFEcB65Mv+\n9rrZ0LasbO2pVlQVVYee5I78OhEbK7KAx7q7SHh+oXobOCpew+JYDTG7/B9thiOR0nmw5e3sruxe\nKxMjrzISrnJne3ZUEQe4+ce/5bAz8u29JenmRfyMGovXNA18y63tGeusxefRXpf2XDuvbArRYAsc\n2ooc9gXJfd2XSj6Opdpjmv6wspcKRDwSbmaH28zawx15EW8Jh3lV2xyOq62flIhXu53KhbFTP+M/\nt9Vkq4Gu9Sr3yEVkDnA5cBrQBHQCz+JPP7pvrGMNxaHXVf51z0CMc0lUWNMQJq1KVIQ7DmXod7T/\na1+ajy2IFsQ/057yzVw39rExi9e3RnLnsfjv/RmeTnhc1OAxqwhTYY5H2lPuO+x/OJxaY7Gq3r8V\n7fs/BYB3yjX+pCOGUfHUpSexvWBdJDKbR7tTZHRgBMBp9Y3MMRObGAyTp8ILwoz7xhaRk0Tkbvz5\nw9+GL/57gQjwdmCjiNwtIieVtKUc2THyxBARP6vW5u1tEZbELE6I2yyJWXxyYYx3tIVZsGIlaYWH\netyCczyTGFh+bfPAN9y8iEW9PXyfUvLDjgGhuarJH7MsL9yHdO8BwDvxyrK0o1pjmlmnt0DELSvC\nTq+Nh7oSZAbF8VY0NDEvGptyMmO12qncGDsVMpbsTdVW+a71ckyakpPKak52+wbwH8DbVDU1dKOI\nxICrgK8D5xW3eQbwY+L/vndAxN/aFuak+Mjdo8fFbc6s9Xiqz+WBLodzav0scIB1vb5IX9EUojlU\n+A33qoYQP+x0eCVd+ht1W8rl+aQvNhfWD7TP2nAPAN5R55vY+CioKo6bJJHen18XDreyvs8h4Q48\nnsfW1HLMBJLZDIZiUtkR5clQ2cPPxvXIVfVcVf0BcMYo21Oq+gNVLbmIH4kxck+VT+9Ok8ndP9c0\nh0YV8X5mbXyMSO6++0lnloynfPtghr1ZJSJwTu3w40+qsRHglbRHtoSfuI4qXz/oe+M28Krc9Jvy\nwn1I53Y0Uov36o+X7PpDqaY4XX+Z1YJa6ZEFPNGbJeEO9KRc3NxWdBGvJjtNJ8ZOwSm9rYr3Hqv0\ngjATyVr/qIi8QVWT4+9qKAY70x7fOJih30le0xBiRd34/2SWCK9tDvODjizPJT227R2YSeyUuE3E\nGv69HLeEWSHhgKPsTHssjZUmq/lnnQMJdR+aH/W7fLNJ7Ic+B4AuuxRCJp47lKzTW+CFi4TokRY2\ndnXhAY2hEMtq6mgIhYhaJiPdMPPJh62HbynF1RjtapXARIS8F7hORGrxf81m4FFVzZSkZSNwpMXI\nf93l5EX8/DqbSxuD/XP5800rPz8MfR55EV8et7imZfRzHBuzONDrsj2tLI1NtfXDebrPZV1frnu/\nMZelDsjm+/P7eKs+UPwLj0E1xDQdN1Ug4tFwK9syFjtTCQAWxuKcVFtf0qI+1WCnSsDYKTjVZKuZ\nVBDmFlXNv01E5HjgFhG5BHhYVf+16K07gvnq/jQ7cv3pN84KsyQ6sUxyEeGGtgjf78iS9ZSTa2yu\nag6PeUxr2L9ZO93S3KwPdfveeIMNK/uz67JJ7Ie/CIC78gPGGx9Ef630wWVWCc/l8d4ESc/DAk6q\na2ChmaXMcAQyLSVaK7RrPbA6DBHxM4FbgQ8DO4AfF79pwzlSYuT7M15exJdFLZbG7AmV0eyPPS2K\nWvzNvCi3LoiNK+IAs3MJcDvSxR8rua7X4aCjxAT+el407z3Ki7/O76Mn/WnRrzselRrTVFW6E9sL\nRHyX28ij3b15ET+3saVsIl6pdqo0jJ2CUyxblXXSlGr3yEUkBFwH/AUwD/gy8FeqenjMAw0TQlW5\n7cBAtOL61vEFuFgsjgphgUOOknA1n00+VdKe8qNcbHx5jU140EeJ9cJPAXBX3gThEvTnVyFZp49E\neqA0g23V8HgfZBlIaFvZNPYkJwaDoZjMnBj5duBF4N+Bn6iWv+jskRAjf6THzWeov7UtTO0kxHSy\nsSdbhDlhYVdG2Zf1WFqEMp6qyucHDZ17zaDx6/Lig8ihrWg4Pi3eOFRenM5xEwUi7lqNPNo3IOCt\n4QhnNTSVfZKbSrNTpWLsFJxijSMvDzOkax1YB9wFtAAFc0qKyIJiNupIRVV5PDfW+7Qaa9xhZqVg\nbq6q2/5scW7Yh3vc/PSkr28JD/HGfwKALlkNYRPndb0MfamBoWW91PLEIBEXmBYRNxgqmVHfVEUU\n3UrvWp+IkH9GVb8KfBOIiMi7ReQ9IvJ24LMlad0QZnqM/N5Ohw5XqbHgupbJd6lPJfbUlOsB6C5S\nwtuvuvwu9aMiwhmDx69nk7BvI2rZeBfcUpRrTYZKiWmmMh30Jnfmlzdl6nkuOSDYFza3cXnbnGkT\n8UqxU6Vj7BSc6rLVDOlaV9XHc//3gPW5/xCRMHBNSVp3BNHjKk/mvK/Ta2zsaXph9yeT9wQRclXY\nuwF73TfBc8AK4Z35FnTh2SDCpuSAN/m2tkjhse0vI+qhLUshUlO8H1BlOG6KvtTugnUbUnH6ct5E\nYyjMioYmQlZVzW9kMACllb1yviHzw88qtGt9ytkyqpoVkbIMPZvJMfJfHfarncUtv4TqVJhK7Kl/\n+tOe8Uqu9x7E/vFf5Wuj92PveRaNN9N3+pt5OtME81ZzXMwaljhnrf8mANo6vaVYpzOm6albIOKK\nxRPJOF7upVFJZVZN7DcYxk7BKdl85KVAqtwjF5FbgNtUNT3Gbs+JyC2q+sXiNe3IoddVns5VbXld\nc3haY6D1QbrW218i9P335Bc1Uot33nux1n0TSXYiyU7qHv0yNwB94XrC806G1R8EO4L1u39HDm1D\nkp25C84p4a+pXFSVnsQr+eUu1+aPmRiaE/ETa+s5Kn7k9lQYDIEpy6Qp1R8jnwtsE5GvishbROQs\nETku9/+3iMhXgS3A7NI2debGyH/Q7nvjMYET41PvQp1K7Km/2lqPN/INKy8/UiDi7gW34N74U/Tk\nq3DfeQ/uqz9B9pTX0R1tBqA220Nkx2OEvnsDoW+/EWvn+gERB7xjLpx0W4vBdMTpHDeZmz/ct/HO\nbJwXMvG8iF/Q3FpxIl5d8czpw9gpOFO1lclaH2Bcj1xVPyIinwfeCdwILGdgPvINwM+Bv1fV9hK2\nc8ayK+2xNVeA5c1t0+uNA9RY/tdd0vMnOAkNbk82if3Lj+UXneu+DLNPKDjeWXohH4+cixx1I8f2\nvsQ7+p7E3vQLpPdAfh939c3orOOgtu2I88j97vSBcMReJ8wuZyAJ8LKWWSYebqh6Ztq4ikrPWg8U\njFXVg/jjx/+9tM0Zm5kYI78vFxufFRKWFWmikqnEniwR6mzodv04eX7Ytyr2XQOeuHPDnVA3vBNm\nS8r/KFGxWLboBKg/BXfFO2DfRqyXHsY7/nJoXTLp9hWbcsY0XS9TkJn+UibCftcfnbA0XsuxNbUT\nquBXTkzsNxjGTsEpva2KKbr9z2XZy6cEwpSGmkZ2pQdKsf7JFBPcikm9JXS7So+rNIdypVQ33I30\n+GOc3Ss+PaKIu6r8sCObXz6/btCHydyT8eaeXNqGVzCely0Q8a2ZKAdzIr6qqZV6U6XNYJgUw7zk\nknwMD5xTVSvug7uq+vBmWoz8kd6BKT2PixXvn2KqsaeBzHX/AZFNv8D+w1cA8JZfix59/ojHbUh4\n9OU+WN8zKzLtYYIglCOmmc525WLiPpvSsbyIn1HfWBUibmK/wTB2Cs6UY+RlfL0UCnflda9X/htk\nhpL2lA25TPWbZleW6BUI+cEXsX87EFHxznvvqMf9ocf/MFkWtVhSxA+TakVVSaYPkHV78+teSMfo\n8o4UUQMAACAASURBVPzH7tKWWURMPNxgqBIs/K51I+RTYibFyO/KZaoLMC9SXBGfauypX8h7nSyh\nu98PgIZrcK+/HUKREY/ZkfbYkyvrOrieeqVTyjhdMnMwL+KewvpULS5CcyjMOY3NFdc9NxYm9hsM\nY6fgVJutBEHxu/Ir7cmtnjfuDCLpKdtySWGvbwlPWxW30ai3oTF5kFff9678Ovf6/wcNc0fc31Hl\nq7kZ25bHLWaHj2wv059HvJOs0wNA2hOeTtegudGo1SbiBoMBvy9f8YegVdjjG6QgzD/hN39oaRsZ\n9Deq+vGit24IzzzzDGeeeWapL1Nynku4OMAxUYvTa4s/McratWsn/7XruSx+6Vf8/SOfy69yz3k3\nNMwf9ZAXkgOZnBc3VNe34ZRsNQrJzMG8iANszI0RP66mjiXxmqoU8VLYaSZi7BScqduq3CPJBzzy\nSiPIW3cRA4Idw5+TfB3wCnAUsAK4pyStm6E8naupfkYJRDwQbga6dhO668ZhmxRh4aAb1f2Tf0KX\nrBrzdE/lfs/FDTZzI0e2N+55Tl7E+zyLzZkYabU4s6GJ2ZHoNLfOYDBMnsot0xqkIMw7+/8WkTuB\nN6vqPYPWXQtcX5LWDWEmxMh7XWVHRrGBk4pQxW0kRv3KTfcWZKCPhPRXG2s8lvtPejdvP/qcMb97\nu11la8rDBlbVVZc3DsWN0zluMl/spdO12ZTxp2Zd2dRCQ2jys9lVAsbLDIaxU3BKZ6vSeOqS61qv\nxIlTJvrmvRJ465B1P8Wf2tQQgG8c9GPJs8NC1CpT15Aq1k/+BmvP6MP31Aqji87GO/PNEKnl9sQ8\nUgoJD8bqOPhhRxYFTogPnxjlSCLrJEikB+YS3+34SYGvap1dcTkQBkO5KIfklU9WK9cjn6hLuBX4\n8yHrbsqtLznVPo6811X25TK7z6srXbd6wfjMTAL73psLRNxbsgr37HfgvuazODf9Buem3+C+71d4\nV34a5p4CLUtozBWCOTzG5Cm7M16+kts5Jfw9paQY434T6QMFIr4hFceVCJe0zJoxIm7GRwfD2Mkn\nyF1fXbXWK3vilIl65DcCPxKRvwN2AwsAB7i22A2biTycG2dda8HZ5eiGTvcS+vrVBauc198Gs44b\n99AmW9ifVQ47yoKRR5xxf5f/exZFildettpIZdoLEtueStWwOF7P0njllls1GAyToP95rvaudVV9\nWkSOBc4D5gF7gUdVNTv2kcWhmmPkhx1lbW6S70tLnNm9evVq6NlH6P/ekl/nnfgavIv+CiRYJ0xT\nziPvGsUj73EHhtBd3Vy98d/JxulUld7kTrzcrZ/0hGfSNcyJxCpmDvFiYmK/wTB2Ck712apyu9Yn\noyjN+LOf1QLLgGUigqp+vagtm2H8pNN/4dda5emGtu//VP5v96K/QU96zYSOb8rFuw87I9+0P+70\nY+Mnxi3mH4GZ6qlMe17EHYVn0jUsjNZwcl39NLfMYDCUgnzXegV65BN6A4vINcA24FPAV4Gbc/+/\nofhNG061xsg9VXZlfO/1NU2ln6r0ka9+GDmwGchNGTpBEYcBj3ykGLmnA974WdM1hK5ITCZOp+qR\ncbryy+tStaxoaOGU+oYZ251uYr/BMHYKTsltVWzBlcr1yCfqSn0aeLfq/2fvzeOrPKu97++15+yM\nJIQpISGhEIYyQ0eFEtoiPVqptk9rH9taH49tH2yxilrtW33O6+nHWkU7emzr6RE8tuqjFe179NhS\nKgKFthBAWpAZQghJSCDznu/r/ePeuZNAhnsne7rD9f18+um+57V/2ey117Wuay05D2iP/v+LQFXc\nLRtBnAxIOjTIs8Msb4KjV18ztiObAJCFFcjLVw7pNgNF5Hs6IwSjxY2mZ1jbkcdKMNxOa+dxQC+7\n+kEwh6X5hRS4+plIoFAokkuCfkyn82S3WL3KRCnlb7o2hB5+rAfujqtV/WDVHHlVp54bn5tpT2w0\nHvLh+Pmn+Gh5NtLhIfKp54b8oc619x+RvxPN9c+3eDQO5vN0etnVZnyBemNfddjN/Jx83Dbr6zAY\n1stnpgal0wUM4POsp9XIicgbhBBdBbdPAFcDk4dwn0uGsyHNqHw215vYL3z7H75ivNZuehyG4WCy\n7WAHOjQIad0f3Lqgxpmu5ihp1EM90QRCzfiDTcb2Hr+XWblFZNhHvhNXKBTdrUwtnyMHfgZ0/Yz6\nMfA2sBfov1RYHLFijrxrpnqhQ1CYwGYioqYKcVbPi2/OXoEsmjes+9mEIMd+8cz13dHRhSsy7ckr\naJNAzOTpQhE/gdA5Y/tAwMMVeWPSqvVsolG5X3MoncwTL61UQZjYl5890eP1eiHEZiBTSrk/7paN\nAEKaZF/U8d1akMAlWuEA9tfXAKAVL0COujout81zCM5HJM0RyWgnRKTk/faRM6xuBk3T6PSfNraP\nBDNZNGrsiCn0olAklsQ5vdQVhNEGOTP5xDw2KoSYCnwGvRhMDfCreBvVH1bLkR/wawQkFLkExQlc\nomX721PGa+2jq/lIXnFc7psX9dVdE97+0hwmIGG0Q1Ac5x7qqWKgPF1YC9HSWU10Aj912igWjMpP\nkmXphfXymalB6RTFxNeD5bQyCsKk1oy+iHX52SeAnUAF0ARMA3YKIT6ZANssT1dufH4ic+PhALaD\nfwFAW3g3xMmJQ+8laBEp2RsdXbgyyz5il1l10RkO09rDiTdrXiqyL00nrlBYk3h73PSNyGMNE78H\nfFJKeaeU8ptSyjuBm9GXpSUcK+XIu+qQ24HZCXTk9h6tSLX5eiW3eOWecnssQTsW0GjXYJRdcLVF\n66r3RV9a+SMR6jpr6OoB00EWpdnjk2xZeqFyv+ZQOpnHalqJNM6Rx+rIi4AtF+zbBpgKA4UQHiHE\nu0KIPUKI/UKI70X35wsh3hRCHBJCvCGEyIvRrrSjqw55IruCiX2/R7TqbTMji78M9viuZe6a7NYW\ngZ3R3Ph4lxjR0bgvEuFwWy0Fdv39hkUWEzLHptgqhcKapJ/LGwZd5a1HwKz1vcCaro3oOvKvAKZC\nZSmlH1gqpZwLzAaWCiE+AjwCvCmlnAq8Fd2+CKvkyE8HNY5EK59dl6i66uEA9q3PAiDHzUTO7G6O\nEq/cU3bUkbdrkqZonnzmCCsA01OrzkiYo22nKXHqrWYjuMjPKEyVaWmF5fKZKULppCNMJMmtplU6\nF4SJ1cs8ALwuhFgNnAImAp3AJ8zeQErZGX3pQl+qfB59eH5JdP864K/048ytwFvRaHyqJ0F1yKXE\n/preTVba7ERu/lH8nwFkGRG5pGsF2hTPyCwZ0BQMsretiQUevX66RDDKWzyiRx8UCkUsjJChdSnl\nAWA68D+AtdH/T49l+ZkQwiaE2APUA29LKT8Exkopu0pm1QN9jmVaIUfeHpEcTHCPbtuOFxFNRwHQ\nrnkA7L2XtsUr95Rp0z+6HRr4pf6rK9EVZpPN1q1bqQ/4+aCtiQWeTmN/rneScuI9sFo+M1Uoncxj\ntXXk6VwQJuZx32jL0gvz5LFcrwFzhRC5wF+EEEsvOC6FEH0qtXnzZnbu3ElJSQkAubm5zJo1yxii\n6fpgpHL77x0RmHElDuDszndoEiK+z2s/y3XHf63rEbgM2TLGqNBz4T+M4T5v+7ZtNDYGKVhwDQDn\nd21n20lnWuk93O1tu6tonzaFqzM62bF9FwCV192EELa0sE9tW2t73759aWVPKrf3v/seIW8mn1ha\n2efxffv2Dev+e7dv43RrmNlLeh9fHA02tu45hGzfGrf3s23bdvzBRq699pqE6tf1urq6GoCFCxey\nbNkyBkIM9utCCLEMEz96pJSbBjunj3s/BviALwDXSSnrhBDj0SP1aRee/9Zbb8n58+fH+pikIaXk\nmbogDWHJ/xztZEYC8sm2zT/Gtv91ZG4RkTt/Eff7X8hP6gOcDup//lKX4Itj3Ql/ZrJoCPipamtm\npstHjl0fRXE78/C4ClJsmUJhbapam2kIBpiXnctYtychz9jbEeE350LM9tq4vaB7oq/tnX/Dtvf/\nErnqi8h5d8TteZFIgHZ/DTabi+yMiXG772BUVVWxbNmyAYcHzUTk/4650YuywU4QQowGwlLKZiFE\nBnADekvUPwL3AN+P/n+DieelHTs7IjSEJV6bnh+PN+Lku9j2vw5ApPKbcb9/X9xb6OJfTwcAyBgB\nJVm76IiEqWprYaw9bDhxu82jnLhCYXkS9D1lFIRJv6H1Qb2NlHKSlLJssP9MPm88sCmaI38XeF1K\n+RbwBHCDEOIQUBndvoh0z5G/G12idXmGHUe886tSYtvxov5yVCmMm9HvqfHM02XYBOVu/WMyb4SU\nZT0bDLDlfBMuodGw6x0AHHYvmZ4JKbYsfVG5X3MoncxjNa1G0qz1YSGl3AdcNDYupTwHXJ9MW+JN\nSJPURbuCrUhAVzBx4E+Ic3of7Mgtz8T9/gNx92gnzRGZ0KYvyaI+4Gd3WwsONBZ4OtkR3e91j1WT\n2xQKxQCk76x1S/WhTOd15If9GhIY7xS44j0E3XkO++a1AGgzbwZ39oCnx3t9ptMmKLT4sLqUkiOd\nHRz1dQAw2aWnC666egFe93iEsP6PlERitTW/qULpZB7LaZXGs9bVt1ec2JXAnuO9mqJc80Dc7z/S\nkVJSFwwYTny8I0h+tHJbhqsQp8ObSvMUihFL+rm8oTOSSrSmlHTNkXdGJIf8GjZgTrzzyE3HsB3X\nc0mRG78DjsFnjVst95Ro3ms5z962FgBcaEyKVm4TwsG7O/am0jTLoD5T5lA66ZgZv4vbOvKk+dVu\nR55uUXnMjlwIcaMQ4mUhxP8X3V4ohKiMv2nWYXt7BA0odgmjrGm8sG37CQBayZXIyUsGOVtxIWeD\nAc6HQ8b2gkz97yOEneyMEpUXVygsSrL/6abzd0WsbUwfBP4NOAwsju72A/8aZ7v6JF1z5Ad8XQ1F\n4jvAIU7vwXa6Coi2KDWJ5XJPCaIxGGBXa7OxXTkqHzR9eD3DNRrRo1iPYmCUTuZQOpknYVol1OGm\n5/B6rJ7nYeB6KeX3gEh03wH0vuSXJHVBjTNds9Vz4zt3UOzRK7hpE+bC2OlxvfdIp9rXyc4eTvy6\nUaOJhFuMbYc9MxVmKRQKC5OuS9BideRZ6M1SeuICAvExZ2DSMUe+t1P/PXNFph1nPGd2n9mHrfpd\nJAJtWWzFXy71PN3ethb2d7QZ20tGjcZtEwSjjtzlyDGGyS51rcyidDKH0sk8ltQqTYvCxOrIt3Bx\nV7IHgbfjY461iEjJ39p0R16REcdhdS2C/Y9f0V+PvxyyVCtNsxxob+VMwA+AXQgq8wvx2ATBcKtx\njqreplAohkJ3RK6l2JLexDoW/CB6G9N/BrKildjagI/H3bI+SLcc+VF/9x9zYhzz47Z3f4bQ9B8I\nkev/n5ivv1TzdIc72jnp9wFgR/KRbDfBwBl8mt84x+Ma3WvN+KWqVawoncyhdDKPNbVKzxx5TI5c\nSlkrhFgELAJKgWrgvWhHs0uOYwH9bc/PtJMZr9nqkTDigz8AoM29XUXjJpBSctLfaawTdyC5KstG\nMNR00bkuR1ayzVMoFCMFIUCmX1GYQcNIIcQyIURl13/AdUAm0Ah4geuStfwsnXLkPk2ypWtYPY4N\nUuwbViPCfmT2eLSrvjike1gy9zQM3ms5zz862gEotIdYlNFBJKLnyJ2ObIRw4LB7ycqYiBC91/lf\naloNFaWTOZRO5kl8P/L4O1thuMz0cuRJ7X42kjjo6x6EiJsjb65BNBwAQFt0T/IXSlqQQx3txjrx\nImeEEkf3vEunI4sMV2Far/9UKBRDo/9/1Zfe8rNBHbmUclIS7DBFOuXITwd1R74sxxGf2epSw/7m\n/wuAVrEcWXHjkG9lzdxT7Bzr7OBYdDi9wOGgxNFuHMv2TsImBq+yd6loNVyUTuZQOpnHilqJNK23\nbqmmKemCJiX7osvOyuMUjYvj2xCNRwCG5cQvFQ52tHHc1wmAHUGFq8NYEZLjLVNNUBQKRQJIz4jc\nTI58cY/XvfLlF+TOE0665MiPBzTaNMizQ6krPsM4ti1PAyBzxiMnDG/kYaTn6fa3txpO3AYszvUg\npT68rg+lm3fiI12reKF0MofSyTxW1CpdC8KYich/AlwefT1QvvySyZHvaNej8bFOW3zyry2nEZ3n\nAIh87F8tnxvv8NcRjuhD3jabC697LDbhjItWJ32dVEeXmHntdhZ6wR88C4DDnoHLmTPsZygUiviQ\nXu4uDqRpQRgzOfLLe7yelFBrBiEdcuQhTbI/OtHt8ji1LLW/8S8AaFOvh4Lh/x5KZe4pGGoznDiA\npgVp953CbvOQlVE0rHu3hkMciFZscwrBlVlu/MEGQJ9N6nWPi/meVszTpQKlkzmUTjpmfrJbUat0\njchjbZqyVAhRHn09XgixXgjxH0KI2L9BLUpXXXWA2d445GFbThu5cW32rcO/X4qQUuILnMUXdawX\nEtH8dAb6PmaGM34f7zU34RYaHqFxpTdMINgI6FF/lrdE5cUVCkU3CYmaLZojv4B/A8LR1z9Cj+gl\n8GI8jeqPdMiRH45Wc1uYaccRh6FiIxqfcj0UTh32/SA1uacO/2mjDKrARo63jNzMyeR4JxnnhMJt\n+AJnY753TWcLrnAtizI6mO/pZJ6nk4jmQ6IhsJHlmWBqhnpfWDFPlwqUTuZQOpknYevIE5iZHCmz\n1idIKauFEE5gOXp1twBwJu6WpSmnosvOpsRhtrqofq87Gp9j3Wi8019HRNPXbzvsXjLcY4zoWAg7\nOd5yOvy1RDQ/wXArQthxO3O5qCCgsPVyyFJKzvjbyZaNff7jdDvzcTlzLiryolAoRj6pmUmUnhF5\nrI68NTqMPhP4UErZJoRwA874m3Yxqc6R+zXJiWhZ1uI41FYXe/8vAFrpVXGLxiG5uSdf4CyhaE7c\nYfeS6Rl/0TlCCDI9E2jtPA5IAqHzBELn+7yfEA7czjwEgqZAM5kiZByzCRcZ7kIiWqBXB7PhYMU8\nXSpQOplD6WQea2qVnjnyWB35s8B7gBv4cnTfteg9yUc8//BphCRMcgvyHMN0Iq112Gp2AaAt/Xoc\nrEs+/uA5Yzhdn53e/1QJIQQ53jI6/KeN6L37mAMp9YyNlGH80dy3t4fEbvcEPI4MABx2TzzfhkKh\nUJhCpOms9ZjCSinl94EbgGuklK9Gd9cAX4i3YX2R6hz58Wg0Ps0z/KFc+5vR3PhlSyEjb9j360ky\n8nS+QKMRVQthJ8tTPGiELIQgK6MYr3ssAG5nHjnecnK8peR4y3E7L9YhJCHT0+3E443KaZpD6WQO\npZN5rKnVCBhajw6jXwfMFUL0bCMlgbvjaFfaoUnJEb++fnySe5jD6m31iIaD+n0tOFM9GGolGG6J\nbgmyM0pjGuZ2OrLIvaALmRACj6uA6pCDhkAHYSmISLgybzQOe1IyNwqFQjEg6br8LNah9XXAbOB1\noB7dgQuS9PMklTny6qCkOaJXcysaZjU3+5vfBUCbvATGTo+Heb1IZO5JSokvWoBFYCPbOyluTUmO\ndnZwzOcH7BS7M7g8O/HFXayZp0s+SidzKJ3MY0mt0nRoPVZH/jGgTErZ90ylEcyp6LD6VI8d23Ac\nV/tZRP1+ALTZn46HaUlDSklb5wljO9sbWyQ+EIc72o1+4k4hmJGVHZf7KhSKS43EzWdP14g81jHi\nk+gT3VJCKnPkh6Lrxye6hxmNv6pnIGRuEYy7fJCzh0aick/+YCMSXQePMz9uBVhqAz7DiTuEYEn+\n6OH9WIoBa+bpko/SyRxKp94M5PCsqVXX95I24FnJJtaIfD2wQQjxDFDX84CUclPcrEozmsOSYwEN\nh4AZGcOY6Fa7FxHWZ2zLCXPiZF3ikVISCrcZM9TdzjzcrlFxufcJXwf/6NDbjzqEoDK/MGlOXKFQ\nWJ9kxsYjpSDMg+i6Pd7HsYQ3TUlVjvxYQJ/kNsVjwzOM3uO2Pb8xXmvX/O9h29Uf8c49dQbqCEei\n3caEA7czPy737enEAZaMSl4k3oUl83QpQOlkDqWTeYarlSoI001MjjzVTVNSxYmA/kebOJwiMGc+\nwHZyOwDhu34NLm88TEsomhaiw38GLdoiVAg7mRmDLzMzQ63fZzhxG1CZX4jDpmqlKxQjivTyd8NG\nRLPRVs+Rp5RU5MjDUrKvU4/IZ2QMUS4pjXXjcvxsyCqMl3l9Eo/cU0QL0OarNpy43eYmxztpyDXN\ne/Jheyt/b281tpem0IlbM0+XfJRO5lA66Zj5sW9JrUbIrHWEEDcCdwBjpJQfF0IsBHJGao68ISQJ\nShjtEBQ6h+ZsxIl3EB1NAESWPRJP8+KO3sWs3ii7CpDhHoPTnjXAVeY5E/BzKtpP3AZcl1+IU0Xi\nCoViiPTrUlX3s74RQjyI3gHtMLA4utsP/Guc7eqTVOTIj/i7aqsPcThZSmxbngFAK18M2Ynv+Bpr\n7klKjUComUDwPG2+k72ceKZnPC5HdlyG0/e3t7K3TS8kYwNuKBiDK8VOXOU0zaF0MofSyTyJ0+rS\nW34Wa0T+MLBMSnlcCNFVIPwAMC2+ZqUP1Ua3s6ENKYtdv0B0nEUi0D7yYDxNiwuhcAedgbqL9jvt\nmb26mA2XuoCf6mgkLoAl+aPjtgZdoVAokkKaDq3H+i2dBZy6YJ8LvZVpwkl2jjykSY51rR8fSkQu\nJfb3f66/LJ4PmQVxtK5/zOaeOgMNFzlxpz2TDFchGe6xcXHiUkr2tDazJxqJC+DGgjG4benRetSS\neboUoHQyh9LJPFbUaqRE5FuAR+g9lP4g8HbcLEojjgY0AhImOAUFQ8iPi12/MF5ry/9PHC0bHlJG\n6PCf6dWFzOnIxuPMx2aLedpEv4SlxpbzTQS07uIJKhJXKBTWJT1z5ENZR/66EOKfgSwhxCGgDfh4\n3C3rg2TnyE9Hh9XLhtgkxXZc/8WpFS8AV2bc7BqM/nJPUmoEw634g03GPptwkJVREnfn6otE2Hy+\n0djOdTi5KndU2jlxldM0h9LJHEon81hzHXk3Usq0+T6L1ZHfCSwErgBKgWrgfWA18KP4mpZapJT8\nvVN35OWeITjys4cQjUeA1EfjES2EL9BARPP32u9xjcblyIn7hzEiZS8nXuHNYlKGN20+9AqFQjEU\n9O+wrj5hXT3DUk+sHuo7UuddKeVvpJQ7pJQR4LFEGHchycyRnw5JGsOSLJte0S1WbHt+DYAcMy2p\n0Th05540LURLxzHafdUXOXGnPQu3MzfuzrUzEuHdlnPG9hiXmzJvZto6cSvm6VKB0skcSifzJF6r\nxAx/p2Oe3FRELoSoRP/pYY++7slkoPXiq6yN0e0sw449VifUcBDbEX3aQOT6R+Nt2qBIqdHuO32R\n8wbIcI/FYc8wKhTFk5ZQiO09nPgkj5eKzPisP1coFIq+uGgCeaKDBiGiAblMl4Dc9ND6y+imu4F/\n77FfovclT8q6qmTmyA8OY7a6ba9eU12OqYDcorjaNRhSasyeX3SBExfkeMsSGhWfDwV5t6W7u+3k\njEwmp3Ek3oXKaZpD6WQOpVNvBopZh61Vyr5a0m/CmylH3lVjXQjxCynlXQm1KA0IaJIjfg0bMDPW\nbmeB9u5ofFlyo/GIFqTd17060OPMx+HIxCacCXWoYSl7OfFr8/LJdjgT9jyFQpHepPfP9+EhENEM\nefo48pjGV1PtxJOVI68P6X+iMU5Bpj22j6Tt7ScB0CbMhbziBFjXP53+egB2bN9FhqsQt2sUdpsr\noU7cF4mwsanB2P5IXoGlnLjKaZpD6WQOpZN5LKtVGhaFid+i4RHEmZA+rD7eGaMDDLQbS87k7E/H\n26x+kVLS4T+NJoMAuJ35uJw5SXl2V8lVgFEOJ1kO9ZFSKBQjF8tOdksXkpUjP+jrqq8e24Swrmhc\nTpiDLLs27nb1RyB0ziju4rB7uW7J9Ul57v72VprDene0MS43M7Oyk/LceKJymuZQOplD6WQe664j\nt2iO/FIioEkOR/Pjs7wx5MeDnYhTOwHQZt+aGOP6QJNhAqFmAFyOHDyu0Ul4puT9lvOc7+HE5+fk\nJfy5CoVCYZ4ELT+LDq1LqQ1yZvJIeuspIcREIcTbQogPhRAfCCEeiu7PF0K8KYQ4JIR4QwhxkWdI\nRo78TEiiEXt+XJzYhgj7keNnJS0aj0QCtHWeNLY9Lr38aSJzTwFNY2NTg+HEvTY7c7NzE/a8RGPZ\nPF2SUTqZQ+lkHutqlX4ReSp6SIaAh6WUM4GrgFVCiOnoNdzflFJOBd6KbiedQ74IAOUxlmW1bX8B\nAK30qrjb1BdSStr9Nca21z0u4Uu9pJT87XwjXb9Di90ZfHRUAbY0X2KmUChGLsl2p101ONIpR550\nRy6lrJNS7om+bkdvg1oE3Aysi562Dlh54bXJyJHXBPU/zqRYHPmZfYhOvRCKLJqfCLMuwh/sLoGa\n5SnG6eiuHpeIPJ0mJdubzxGJztR0CMH0rPj0KU8lKqdpDqWTOZRO5rGsVkZAnj6OPKU5ciHEJGAe\n8C4wVkpZHz1UD4xNtj3tEcnxgJ4fL43Bkdve+w8A5LjLYUxFgqzrJhhqJRjWi+m5nXnY7e6EPk+T\nkkMd7bRGwgAUOl3Mz8mzvBNXKBSKWFEReQ+EEFnA74DVUsq2nseklF0V6XuR6Bz5vs4IGjDVYyPL\nbH68/Sy2Wt0u7Yp7E2dcFE1G8AXPGtsu58X56Xjnnna1NnPC3wnAOJebBWnYxWyoWDdPl1yUTuZQ\nOvVmIFdnXa3SL0eekohcCOFEd+K/kFJuiO6uF0KMk1LWCSHGAw0XXrd582Z27txJSUkJALm5ucya\nNcsYoun6YAx1e+OWLZz2Sz5542LT14tDb7IEkK4sthxrg+Nb42ZPX9v+YBOLrrwcgD27TmK3nbno\n/C6G+7y/bdnCcV8nY+frKY3Tu6rwerPgox9N2PtL9va+ffvSyh61be1t9Xnq3t7/7nv4MrwUr2JM\nGQAAIABJREFUVy7r8/i+ffuGdf+qd7ZxuiVMxUd7H18crUe1de9hpC/+38cLrpgOwDtbt+N0Zsf9\n/l2vq6urAVi4cCHLli1jIIRM8ji/0EO5dUCTlPLhHvufjO77vhDiESBPStlrwttbb70l589PXA76\nqTMBzoYlD4x1mVtDLiX2V+9BtNQQ+acnkCVXJMw2gFCkk07/GQCcjmy87jEJe1ZA09h87qwxsa3E\nk8GMrOQUmVEoFNbm720t1Ab8XJ6VQ7EnIyHP+Icvwi8aQ1R4bNxd6DL22979d2xVvySy6F7kwvgX\nI/UHzxEIncftHIXHlR/3+19IVVUVy5YtG3AINBUR+bXAZ4G/CyF2R/d9E3gC+I0Q4n8BJ4D/kUyj\n2iN621IbMNZkRTfx4R8RLTVIbz6yeEFC7ZNSM5y43eZOqBPXpGRPa7PhxMe53EzPtF6xF4VCcQmS\n8LRf+g2tp2LW+lYppU1KOVdKOS/6339LKc9JKa+XUk6VUt4opWy+8NpE5sj3dUaQ6Plxp8kPgji6\nGQA5cRHYYmyuEiPt/tPGa6974HmAw8k9tYXDvNljnfisrBzmjuCJbdbN0yUXpZM5lE7msapW3QVh\n0seRq8puUY5E25ZWZJj8bdNyusckt88nyiwAIloATdPrqGe4x2KzJaYpSWckwrbmJmO71OOlKEHD\nYgqFYuSSzJ/9yXen6ReRW8qRJ2od+bmwxj+M/uPmHLlt+4sASFcmZBUmxC7QS7C2+/TCL05HNi5H\n1qDXxLo+U0rJwc52Tvg6jX0Lc/IY7UrssrZ0wLJrWZOM0skcSifzWFUr1TQlTTnu766ZO85MfjwS\nRJzYBoB2zf9OlFl69bbO7v7ibmf865lrUnLc19HLiV+ZO4pRTtcAVykUCsUlShq2MU3ZOvKhkKgc\n+aGoI1+R5zCVCxYn3kFEC+bLqYnrNBbR/MjolLMM9xjsNnPO1UzuSUpJjd/HG00NHO7sMPZfm1dw\nSTlxq+bpko3SyRxKJ/NYVSsVkacpp4LR/LjH5LD6318DQKtYDvbE5KsBfAG9DKvTnoXLEb9Z475I\nhA/aW2kKBXvtv27UaDz2xE7aUygUiuSQKEercuTDIhE58oaQRksEMmxQ4DAxrN7RBPX7AdDmJK5d\naTDUiiZ1R9uzjroZ+ss9tYfDHPN1cCbgNz6CbpuNbLuDuTm5OISlBmjiglXzdMlG6WQOpZN5EqdV\nYqfaqVnracipgB6NT3bbTHXxsn34OkJqaGUfgYLJCbFJ08JGGVYhHDhNTHAbiOZQiGO+DhqCAWPf\neLeHUo+XXIe5dIJCoVCkE6n71kq/iNxSIVgicuQ7O/S2pePNzFb3NWPbtR4AWXFj3G0BvZZ6m6+7\nx3h2xsSY77FlyxYOdrTxQVsr77WcY0fLORqCAWzARE8Gi0cVMCc7lzyn85J34lbN0yUbpZM5lE7m\nsa5W6efIL+mI3KdJqqNtS4tcJia5HXoTAClsyJL49x0PR/x09Cj8kumZgIhhuDssNfa2tfB+azMz\nesxCtwtBiSeDSRle3AkuXKNQKBQjGTW0PkzinSM/ER1Wd6APrQ+IlNj+8RcAtBu/Dfb4S9fhrzVe\nZ7gKcdjNF2NpCYfY3qz3RJ9xZXfN92mZ2RS5PThtlhp8SRoqp2kOpZM5lE69GWhmd7y0UgVhLObI\n401dNBq/Mss+aH5c/OO/EeeOIT05yNKr425LKNJJ1wfD7RyFy2muQUlQ0zjh6+BYjwi8LMPLeLeH\nTLsD+yU+dK5QKJLPSP7W6V5+pg1yZvKwVJgW7xz56ZD+hzCTH7d98HsAZNlH4r7kTEqJz18PgMOe\nYaqjztlggL+db2TTubO9nPi1eQWc3b2XHIdTOXETWDdPl1yUTuZQOpkn4Volaug7DQvCXLIReURK\no776pMGG1c8eQjQeAUD7yINxtUNKSYe/trvwi2vgrmYBTWNXy3laI+Fe+wudLuZcokvIFAqFopsE\nLz9TBWGGRzxz5GdDkpCEPDuMGmT9uP2/vw2ANuMT4Ihv/fFgqJmI5gfA5cjBZuv7TyKl5HTAzwft\nrb32T3B7mJ6Z3SsHrvJ05lFamUPpZA6lk3msq1XXd61y5CnnQDQaL/cMPItbHHwD0d4AgDb703G1\nIRhuwx/SJ6g57Jl4XKP7Pk/T+EdHG7UBv7FvemY249xuNQtdoVCkIYlP66VD4lBKmRZLeC01DhvP\nHPmZaFnW8kGG1W379Ny4VrEcRpXE5dkRLUi7rwZfoMHY53UX9vmB6IxE+Ou5s4YTdwkb1+TlUzrA\nUjKVpzOP0socSidzKJ3MY1Wt9O/p9Jq5fklG5CEp+dAXneg2ULezcycQZw8CoH30obg8W3fip3rs\nEWR7SxHiYqcclpK/nY/WWxeCXIeTBTl5afELUKFQKC5dBLoTV448ZuKVI+8qywowegBHbtv6HADa\n9H8Cp/k13X0hpUaH/4yRDwfwuApwOXL7dcxbo04cYH5OnumuZNbNPSUfpZU5lE7mUDqZx7rryPWo\nXMquofUUGHABlnLk8eJ8WP/TT8+w4ejnryCO/hXb6SoAtGGUY5VS4g82Egz3nqTmdY/H6fD22ufX\nIjiEoCkY5IP2VkLR5Q3TM7MvqdaiCoVCMRiD+U+R0Hnl6TW0fknmyE8EdPEnDrB+3Lb3twDInAkw\nftaQn9UZqO/lxF2OHHK85YYT16TkhK+T91vO89dzjWxsOsvuthbDiY9xuSnN8PZ57/6wau4pFSit\nzKF0MofSyTwJ0yoJEXK6LUG7JCPyrv7jl/XTf1wc/Rsi2qo0ctuLQ36OP9hEONJhbLud+Xhco4zt\n+oCf3W0t/V6/KGcU+c7E9TtXKBSKRJJGNVPiixDRFHl6vEFLOfJ45MgbQxpnwxKngDF95ce1CLZN\n39NfTl4Crtii4S6C4TYCoWZjOzujtNca8bPBQC8nPsrhxGWz4bXbkejrw3McQ3PiKk9nHqWVOZRO\n5lA6RTERFcdNqxT4UhWRp5j90dnql2fYcPaRHxfH/oYI6327tSVfHdIzgqFWo5+43ea+qItZWzjM\nrtZuJ1/syeDyLHO11RUKhcIswWCQxsbGwU+MM+5IhGItQsQfotbWPPgFQ8CmSW4KSzI0QW1tj+/y\nnNmIRV9DZo+F2tr+bzAMIloIKaHd1hhTh8r+cLlcjB7ddx0RM1jKke/Zs4f58+cP6x61wYHLshoz\n1ScuBHdWzPcPR/yGEwfwusf1+kPX+H29qrMtGTWaDHt8i7ps3bpVRQYmUVqZQ+lkjnTSKRgMUl9f\nT1FREbYR2v1wcp97JyTZiuHT1NREe3s7WVmx+xyw2GS3eFAX0odC+myU0lyD8J0HQLvmgZjvHdGC\nvfqJ53jLeg2nH+5o7+XEr8nLj7sTVygUCoDGxsYR7cRHEvn5+bS09D9fajAsFZEPN0feFNbz465+\n8uP2TU8AoE29HvLLYrq3lFqvQi9ZGRONSDyoadT4fRz36RPfnEJwdV4B3gQ58XSJCKyA0socSidz\npJtOyolbAyHEsAp9WcqRD5d/RPPj0/vKj7efNWaqy2k3xXzvQKj711SWpxi7TV/3rUnJ7tZmzodD\nAGTa7Xwkr0BVZ1MoFApFXLDUz7XhriP/oDMCwATnxW/b/pf/A4B0epFFsUX+UkoC0eYnbmc+drvb\n2P/Xc42GE5+ckcmCnFEJd+JqLat5lFbmUDqZQ+mUOL761a/ywx/+0Nh++eWXqaiooKSkhObmZnbs\n2MHChQspKSnhz3/+c9Lsqq6upqCgAE3TBj85QVjKkQ8HTUqqg3p+PP/CYXWpIRoO6Ofd+J2Y792V\nFxfYcDvz9FtKyfaWcwRldHKdx8uUzKyEDacrFAqFldixYwfLly9n0qRJTJ48mRUrVrB7924AXnnl\nFW66qffI6Nq1a1mzZg0AoVCIxx57jN///vdUV1eTl5fHE088wRe/+EWqq6tZsWJF0t9Pf7z00ktU\nVlYyfvx4Vq1alZBnWGpofTg58qZw93q/igsKwYiqXwIgs8YgSxbFdN9QuIOIpi9Xc7u6o+2jvg5a\nw2EAJmV4mZaZPWTbYyXd8nTpjNLKHEoncyidzNHa2sodd9zBj370I2655RYCgQDbt2/H7Xabur6+\nvh6/309FRYWxr6amptd2ujB+/HjWrFnDpk2b8Pl8CXnGJRORH4zmx+d4bdh7Dm13nsf+3n8AICs+\nFtM99SF1fZa73ebB7cxDSsnethaOdOoT28a7PUl14gqFQpHuHD16FCEEn/rUpxBC4PF4WLp0KTNm\nzODgwYOsWbOG999/n5KSEsrLywFYtWoVjz/+OEePHuWqq64CoKysjJUrV7JgwQJOnDjBnXfeSUlJ\nCaFQiNbWVh588EFmzJjBzJkzefzxx43h71deeYUVK1bw7W9/m/LycubNm8fGjRsN+wa6VtM0Hnvs\nMaZMmcL8+fN54403BnyvH//4x7npppsYNWrUgOcNB0s58uHkyGtD+h+h7IL147bNPwJA2uxoC++K\n6Z6B0HkjGvd6xgJwJuDnjNE7XDAjBU5c5enMo7Qyh9LJHEonc1x22WXY7XZWrVrFxo0baW7uLhpT\nUVHB2rVrWbRoEdXV1Rw7dsw4JoRg8uTJbN++HYATJ06wYcMGdu3aRXFxMa+++irV1dU4nU5WrVqF\ny+Vi165dbN68mbfffpv169cb96qqqmLKlCkcPXqUhx56iNWrVxvHBrp23bp1vPHGG2zevJlNmzbx\nxz/+MeWTly01tD4czkTz4+N6TnRrb8B2YhsA2g2Pgc18/rpnNO5y5GATDo53dnCwsx2AQqeL+ap3\nuEKhSFMePeUf/CSTPD7RE9P52dnZ/OlPf+Lpp5/my1/+Mg0NDdxwww089dRTFBYWIvupYd61v7/j\nXTQ0NLBx40aOHz+Ox+MhIyODBx54gPXr1/O5z30OgIkTJ3LXXXrwdvvtt7NmzRrOnj2LlHLAazds\n2MADDzzAhAl64ZmHH36Ybdu2xfT+442lHPlQc+TnwhoN0frqY3tMdLNt+wkQzY2XfdT0/aSUtPlO\n6vcQTjyu0dQH/IYTB5iV3X+f8USj8nTmUVqZQ+lkDqWTeaZOncrzzz8PwOHDh7n//vv51re+xUsv\nvTTse586dYpQKMT06dONfZqmUVxcbGyPGTPGeO316j01Ojo6aGpqGvDauro6ioqKjGM975kqLOXI\nh0rP9eMuW9S5djRiO/Y3ALTFXyaW7vCd/jNIqS9lczlzOR8OGQ1QBLCsYEy/fc4VCoUiHYg1ik4k\nU6ZM4Y477mDdunUAww6CioqKcLvdHD16NOaiOINdO27cOE6f7q7gWVNTMyxb48ElkSPvq766OKRP\nbJCZBciSK03fKxzxEdb0mYdORzbCns17LeeN49flj065E1d5OvMorcyhdDKH0skchw8f5vnnn6c2\n2tSkpqaG3/3udyxapK8aKiwspLa2llAoNKT7jxs3jqVLl/Loo4/S1taGpmkcP36cd955Z9jXrly5\nkhdeeIHa2lqam5t5+umnB7xfJBLB7/cTiUTQNI1AIEAkEhnS++oPSznyodJVX93Ij/tbse/Q+4xr\nix82HY3rtdT1D57N5iLDVci25ibj+HWjRuOOIc+uUCgUlyJZWVns2rWLG264gYkTJ7J8+XJmzpzJ\nd7/7XQCWLFnCtGnTmDZtGlOnTjWu6xmpDxa1/+QnPyEUCnH11VdTXl7OvffeS319vXHthdf33B7o\n2rvvvpvKykoWL15MZWUln/jEJwa05Qc/+AFFRUU8/fTT/OY3v2HChAmsXbvWpFLmEINNGkgn3nrr\nLRlr97PzYcnaMwHswLeK3LhtArHn19i3v4BEEPniX8A+eIYhogV711L3lPDm+XPG9tzsXMa502eo\nSqFQXNrU1tYaE7IU6U9/f6+qqiqWLVs24K+WEZ8j3++LINHz426bACmxHdTX/WnLvjmoE5dSoskg\nvkB3a9JMTxFH/N0zPj02m3LiCoVCoUgJlhpaH0qO/HQ0P17WVc2t8Qji3HGkJwc5ecmA10opaes8\nQbuvxlgvnumZQHNEcNzXaZx3bV5BzHYlEpWnM4/SyhxKJ3MonRSpYERH5FJKDvl1R17utoGU2N/4\nF/3YZZVgdw54bSB0Hkl3IXybcNKm2dnZGq3mJgSV+YW9K8UpFAqFQpFELOXIY11Hfj4i8WngtcFo\nh4DGw4hWfbKaNuOf+r1OSkmHv5aIpg+fC2w4HF40ez7vNnfnxa/KzU9LJ67WsppHaWUOpZM5lE6K\nVGApRx4rh3zd0bgQAtvfXwNAm3I9FEzu8xpNRmjvrDYicZtwkpVRTATY2NSdJ79u1Gg8qpOZQqFQ\nKFLMiM6R1/RcP36+Gtuh6CS32Z/u9xpf4KzhxB32TLIyJgKCLee7l5ldmTsqrZ24ytOZR2llDqWT\nOZROilQwYiPynvnxMrcN24d/0fdnFkLh1D6viWhBwhG9a5nHNRq3MxeAA+2tBKKdby7PymGU05Vo\n8xUKhUKhMIWlHHksOfLmCHRo4BEw1gG23a8CoF31zxcVgJEyQiDUYjRBEcKOy5EDwJHOdk769Upu\n+U4XxZ6MeLyVhKLydOZRWplD6WQOpZMiFVhqaD0W/uHTS+BN9tgQbWeM/bL0ql7naVqY1s4ThhMH\nyHSPB6A+4Df6iruEjUU5eYk2W6FQKBR98NWvfpUf/vCHxvbLL79MRUUFJSUlNDc3s2PHDhYuXEhJ\nSQl//vOfk2ZXdXU1BQUFRr/yVJB0Ry6EeFkIUS+E2NdjX74Q4k0hxCEhxBtCiD49Ziw5cmP9uNuG\nbcszAGilV4M7yzhHkxGjixmA055FVsZEgjj46/lGoxEK6DXUrdKSVOXpzKO0MofSyRxKJ/Ps2LGD\n5cuXM2nSJCZPnsyKFSvYvXs3AK+88go33XRTr/PXrl3LmjVrAAiFQjz22GP8/ve/p7q6mry8PJ54\n4gm++MUvUl1dzYoVK5L+fvoiGAzy4IMPMmfOHEpKSliyZAkbN26M+3NSEZH/B/CxC/Y9ArwppZwK\nvBXdHjI98+OT6UCc1n8AyNmf6nVeh6+7g43XPQ63ewxNIcnm841GTtxjs7F41GhsFnHiCoVCke60\ntrZyxx13cN9993H8+HE+/PBDvv71r+N2u01dX19fj9/vp6KiwthXU1PTazsdCIfDFBcX81//9V9U\nV1fz6KOP8vnPf55Tp04NfnEMJN2RSym3AOcv2H0zsC76eh2wsq9rzebIW3rkx8c0fYjQQsjxs5DF\nC4xzAqEWNKl31vG6x2K3e3mzqYGqtmbjnJlZ2VyXX4g3jWeo94XK05lHaWUOpZM5lE7mOHr0KEII\nPvWpTyGEwOPxsHTpUmbMmMHBgwdZs2YN77//PiUlJZSXlwOwatUqHn/8cY4ePcpVV+kp0rKyMlau\nXMmCBQs4ceIEd955JyUlJYRCIVpbW3nwwQeZMWMGM2fO5PHHHzeGv1955RVWrFjBt7/9bcrLy5k3\nb16vSHmgazVN47HHHmPKlCnMnz+fN954o9/36fV6+cY3vmH0LL/xxhspLS1l7969cdUzXXLkY6WU\n9dHX9cDY4dzskF/Pj5d7bNjOfACAHDPNOK7JCP5gI6AvMQvg4c2mhl73uCYvn4ke73DMUCgUCkUf\nXHbZZdjtdlatWsXGjRtpbu4OoCoqKli7di2LFi2iurqaY8eOGceEEEyePJnt27cDcOLECTZs2MCu\nXbsoLi7m1Vdfpbq6GqfTyapVq3C5XOzatYvNmzfz9ttvs379euNeVVVVTJkyhaNHj/LQQw+xevVq\n49hA165bt4433niDzZs3s2nTJv74xz+aTrs2NDRw9OhRpk2bNvjJMZB2s9allFII0WdLtj179mCm\n+1lNUL98klMiDr8JgFb2UeO4L9DttHd32mjXuteIZ9rtXJtXYOmh9K1bt6rIwCRKK3MoncxhJZ0c\n/1YZt3uFH9gU0/nZ2dn86U9/4umnn+bLX/4yDQ0N3HDDDTz11FMUFhbSX1fOrv2Dde1saGhg48aN\nHD9+HI/HQ0ZGBg888ADr16/nc5/7HAATJ07krrvuAuD2229nzZo1nD17FinlgNdu2LCBBx54wOhU\n9vDDD7Nt27ZB33MoFOK+++7jM5/5DJdddplZqUyRLo68XggxTkpZJ4QYDzT0ddLmzZvZuXMnJSUl\nAOTm5jJr1izjH07XRJND5QsBaPnLerbuO8FH5k2DcTPZunUrmtSYM78IgF9t3keHtDPjyitwCkHz\nnr+T5fZgu+B+F94/3be7SBd70nl73759aWWP2rb2djp9nlpaWtK6jenUqVN5/vnnATh8+DD3338/\n3/rWt3jppZeGfe9Tp04RCoWYPn26sU/TNGOIG2DMmDHGa69XH33t6OigqalpwGvr6uooKioyjvW8\nZ39omsb999+P2+3mySef7POclpYWY/Rh69atVFdXA7Bw4UKWLVs24P1T0o9cCDEJeF1KOSu6/STQ\nJKX8vhDiESBPSnnRhDcz/cjbI5Lv1QZwC/jOgR9iP7KJyKJ7kQv1X14d/jOEI500R+wcCOprwisy\nsyjLyIznW1QoFIqUYrV+5C+99BLr1q1j69atvPrqq/ziF7/gT3/6k3F81apVTJgwgUcffZTq6mrm\nzZvH2bNnsdn0DPHcuXN55plnWLx4MXV1dSxYsIBTp04Zx3vyyiuv8J//+Z+97l9QUMCuXbvweDwD\nXvvJT36SW265xYjs3377bW699dZetvRESsmXvvQlTp8+za9//et+J/QNpx95KpafvQq8A1QIIU4J\nIe4FngBuEEIcAiqj20OiLqRPSCihE9tx/ReqrLgBgGColXBEbz96Jqx3Prtu1GjlxBUKhSKJHD58\nmOeff57aWr2JVU1NDb/73e9YtGgRAIWFhdTW1hIKhYZ0/3HjxrF06VIeffRR2tra0DSN48eP8847\n7wz72pUrV/LCCy9QW1tLc3MzTz/99ID3++pXv8rhw4f55S9/aXpWfqykYtb6Z6SUE6SULinlRCnl\nf0gpz0kpr5dSTpVS3iilbO7rWjPryA9Hl50trNuCiATRJsyF7HFIqeEL6k1PWiJ2mjUHS0Zo4xO1\nltU8SitzKJ3MoXQyR1ZWFrt27eKGG25g4sSJLF++nJkzZ/Ld734XgCVLljBt2jSmTZvG1KndJbV7\nTiobbILZT37yE0KhEFdffTXl5eXce++91NfXG9deeH3P7YGuvfvuu6msrGTx4sVUVlbyiU98ol9b\nTp06xbp16/jwww+ZPn06JSUllJSU8Lvf/S4GtQYnJUPrQ2Xt2rXy85///IDnvFgf4GRQ8p33voa3\n4UMiS7+BnLYcf7CJQKgZTcJ7/kymerMp847MSNxKE25SjdLKHEonc6STTlYbWr/UsdTQ+nAYbB25\nJiVnQpKC9tN4Gz5EOjzIyYuRUiMQ0oP8EyE3Lpt9xDpxUGtZY0FpZQ6lkzmUTopUYClHPhjnwpKg\nhKtr3wJATl4Czgw6/HoeJiAF9REHH8krSKWZCoVCoVDEDUs58sFy5KeDEiE15tXoaxplxY1oWoiI\nFgDgVMjFWJcHZx8zC0cSKk9nHqWVOZRO5lA6KVLBiPJoh/wRJrQcIauzAZk1BjlhDp3R4i/nInbO\nRpzMyspJsZUKhUKhUMQPSznywXLkNUHJDYd+CYAcdzmajBDR/ADUhl3MzMrGMcKjcVB5ulhQWplD\n6WQOpZMiFYwYr3YurNEYluT79AhcTphDIKS3IT0fsdOu2Rnn8qTSRIVCoVAo4o6lHPlAOfJTAUl+\nxxnGtp1EOjxEpi4jGNYd+Zmwk2JPxojPjXeh8nTmUVqZQ+lkDqWTIhWMGM92KqgxvyY6W718MZ1h\nvVNqWEKrZmeqNyuV5ikUCoVCkRAs5cgHypHXBDUua9J7vEamLDVy4weDGeQ73ZdMNA4qTxcLSitz\nKJ3MoXRKHk888QT333//sO+zdetWLr/88jhYlDpGhHcLS0ljZydFLUcACBRMBKA5YqdVszM3OzeV\n5ikUCoXiAubMmUNFRQWdnZ3GvvXr13PzzTebut5sD/Dh8vjjj3PttdcyZswYvv/97yflmbFiKUfe\nX478qF9jav17uCIBtHEzCQi90P6ZsJMZmdmXVDQOKk8XC0orcyidzKF0ig1N03jhhReGdG2yyotP\nnjyZf/mXf+HGG29M2o+HWBkRHu5UUOOmAy8DEJq6DGSYoBT4pJOSDG+KrVMoFArFhQgh+NKXvsRz\nzz1Ha2trn+c88sgjzJo1i9LSUiorK9mxY0ef54VCIb7whS9wzz33EAqFOHPmDHfffTdTp05l3rx5\nvPjii8a5Pp+PVatWUV5eztVXX01VVdWAdt5xxx1cf/31ZGVlJe3HQ6xYypH3lyNv8AfIDpwDoHPi\nTAAaww6mX6LFX1SezjxKK3MoncyhdIqNuXPncu211/Lss8/2eXzBggVs2bKF48eP8+lPf5p7772X\nYDDY6xy/389nP/tZPB4PP//5z7Hb7dx5553Mnj2b/fv3s2HDBn7605+yaZNe8fPJJ5/k5MmT7N69\nm9/+9rf86le/SttI2yyOVBswXCJSIusOYJcRgqMvQ7Prv03ORhxMcblSbJ1CoVCkJ//dWB+3e31s\n9NghXSeE4Jvf/CYrVqzoc+LabbfdZrxetWoVa9eu5ciRI8yYMQMhBG1tbdx6663MmjWL733vewDs\n2rWLpqYm1qxZA0BpaSl33XUXr732GpWVlfzhD3/ghz/8Ibm5ueTm5nLffffxgx/8YEj2pwuWisj7\nypGfDUkqav4KQPu1/wvQl5yVevNwCEu9vbih8nTmUVqZQ+lkDqVT7EyfPp3ly5fz1FNPXRQZP/vs\ns1x11VVMmjSJsrIyWltbaWpqAvQc+c6dOzlw4ACrV682rjl16hR1dXWUlZUZ//34xz+msbERgLq6\nOoqKiozzi4uLk/AuE4vlI/ITAY2y5oMAhLJH4wDqwi5mZGak1jCFQqFIY4YaRSeCRx6JOeSSAAAT\nF0lEQVR5hOuuu45Vq1YZ+7Zv385zzz3Hhg0bmD59OgDl5eVGnloIwdKlS5kxYwYrV67k9ddfp7Cw\nkOLiYkpLS3n//ff7fNbYsWOpqamhoqICgJqaGtN2pusQvKVC1r5y5HXn6xnfehx/8RwcNtAkjPcW\npq3gyUDl6cyjtDKH0skcSqehUVZWxi233MILL7xgfHe3t7fjcDgoKCggGAzy5JNP0tbWZlzT5dAf\neughbr31VlauXMm5c+eYP38+WVlZPPPMM/h8PiKRCPv372f37t0ArFy5kqeeeoqWlhZOnz7NSy+9\nNKBt4XAYv99PJBIhFArh9/vRNC1BSgwNSznyC4lIibd6OzYkbVf8TwCaNTs5TneKLVMoFApFLHzt\na1/D5/MZ28uWLaOyspJFixYxd+5cPB5Pr2FwIYTh9NesWcNNN93ELbfcQnt7O6+++ir79u1j/vz5\nTJkyhYcfftj4EfD1r3+diRMnMnfuXG677TZuv/32AQO/1atXU1RUxGuvvcaPfvQjioqK+M1vfpMg\nFYaGSNfp9H2xdu1a+fnPf97YPhvSOP3fTzAneJLWj30dKeFgKIcrRxWm0MrUs3XrVhUZmERpZQ6l\nkznSSafa2lomTJiQajMUJunv71VVVcWyZcsGHGK2dETeHNaY1vA+gQl6eT2/FJR6s1NslUKhUCgU\nycNSjvzCHHnD2VNkhjsIzL4JgOqQmzEuNayeLhGBFVBamUPpZA6lkyIVWMqRX4hW9yHBSYv01xKy\nXFnYLuFJbgqFQqG49LCUI++5jlyTktyGfYQKywA4F3Ew1qWWnIFayxoLSitzKJ3MoXRSpAJLOfKe\nnPMHmFa3g2DpQgBqw05yHJZfFq9QKBQKRUxYypH3zJE31x/GMXoi0pNNpybIcHguuS5n/aHydOZR\nWplD6WQOpZMiFVjW80Vq99G54FYAmiMOijyqy5lCoVAoLj0s5ch75sizG/cTyR0PQItmV7PVe6Dy\ndOZRWplD6WQOpZMiFVjKkXehSUmOCIDdgU8TaDYPdjVbXaFQKC4ZnnjiiT47psXK1q1bufzyy+Ng\nUeqwlCPvypGfbzuPc6w+W71FczBWReO9UHk68yitzKF0MofSyTxz5syhoqKCzs5OY9/69eu5+eab\nTV2fjH4ajY2NfOELX2DmzJlMmjSJFStWsGvXroQ/N1Ys5ci7aKk/SnCi7tQbIw7GuDwptkihUCgU\nsaJpGi+88MKQrk1GefGOjg4WLFjA22+/zfHjx7njjju444476OjoSPizY8FSjrwrR+48/R5azlg0\nCX5pJ8tuT7Fl6YXK05lHaWUOpZM5lE7mEULwpS99ieeee47W1tY+z3nkkUeYNWsWpaWlVFZWsmPH\njj7PC4VCfOELX+Cee+4hFApx5swZ7r77bqZOncq8efN48cUXjXN9Ph+rVq2ivLycq6++mqqqqn5t\nLC0t5YEHHmDMmDEIIbjnnnsIBoMcPXp0eG8+zljKkXeRHzkHQJtmJ9fhuqRblioUCoVVmTt3Ltde\ney3PPvtsn8cXLFjAli1bOH78OJ/+9Ke59957CQaDvc7x+/189rOfxePx8POf/xy73c6dd97J7Nmz\n2b9/Pxs2bOCnP/0pmzZtAuDJJ5/k5MmT7N69m9/+9rf86le/Mu1D9u3bRygUoqysbHhvPM5YypHP\nnTsXrfM8jqx8AFo1G/lOV4qtSj9Uns48SitzKJ3MYSWdWjqOxu2/oSKE4Jvf/CYvvfQSTU1NFx2/\n7bbbyMvLw2azsWrVKgKBAEeOHDGubWtr49Zbb6W8vJznnnsOIQRVVVU0NTWxZs0aHA4HpaWl3HXX\nXbz22msA/OEPf+ArX/kKubm5FBUVcd9995kapm9tbeX+++/nG9/4BtnZ6dWcy3Kl0NoajmDPLwWg\nU7Mz2a3y4wqFQmFVpk+fzvLly3nqqaeYOnVqr2PPPvssv/zlL6mrqzMcd5fDl1Kyc+dOwuEwP/vZ\nz4xrTp06RV1dXa+oORKJcM011wBQV1dHUVGRcaxnj/P+8Pl83HnnnVxxxRWsXr16WO83EVjKke/Z\ns4fxs7LIqJiDAGw2NxkqP34R6dQTOd1RWplD6WQOK+mUmzk51SYYPPLII1x33XWsWrXK2Ld9+3ae\ne+45NmzYwPTp0wEoLy83omchBEuXLmXGjBmsXLmS119/ncLCQoqLiyktLeX999/v81ljx46lpqaG\niooKAGpqaga0LRAI8NnPfpbi4mJ+/OMfx+Ptxh1LDa0D2AJNCLuDTs1GpkMNqysUCoXVKSsr45Zb\nbuGFF14w8tXt7e04HA4KCgoIBoM8+eSTtLW1Gdd0OfSHHnqIW2+9lZUrV3Lu3Dnmz59PVlYWzzzz\nDD6fj0gkwv79+9m9ezcAK1eu5KmnnqKlpYXTp0/z0ksv9WtXKBTic5/7HF6vl+effz6BCgwPSzny\nuXPn4hIRADo0m1p21g9WiQjSAaWVOZRO5lA6DZ2vfe1r+Hw+Y3vZsmVUVlayaNEi5s6di8fj6TUM\nLoQwnP6aNWu46aabuOWWW2hvb+fVV19l3759zJ8/nylTpvDwww8bPwK+/vWvM3HiRObOncttt93G\n7bff3u9kt/fee4833niDv/71r5SVlVFSUkJJSUm/s+dThUjGWrx48dZbb8myjJPYSmZTE3IzI7dI\nzVhXKBSKPqitrWXChAmpNkNhkv7+XlVVVSxbtmxAR2epiHzPnj1oBSUAeBwZyon3g1rLah6llTmU\nTuZQOilSgaUcOYAjM4+IBIdNlWVVKBQKhcJSjryr1rpP2shW68f7ReXpzKO0MofSyRxKJ0UqsJQj\n78KnCfIczlSboVAoFApFyrGUI++qtR7WwKby4/2i8nTmUVqZQ+lkDqWTIhVYypF3oQmVH1coFIrB\n0DQt1SYoTCClHFY3N8stP5tckcs5CinLzEm1OQqFQpG2BINB6uvrKSoqwmazZMx2ydDU1ITb7SYr\nK+uiY2aWn1mqRCvA3/0ZzMvNSLUZCoVCkda4XC7Gjh1LXV1dqk1RDILL5erTiZslrRy5EOJjwFOA\nHfiZlPL7PY/v2bOHaytuI0tNdBsQK9V7TjVKK3MoncyRbjq5XK60LQqTblpZmbQZbxFC2IHngI8B\nM4DPCCGm9zznyJEjVGSmV/u4dGTfvn2pNsEyKK3MoXQyh9LJPEorc3RN8h6ItHHkwBXAESnlCSll\nCPgV8MmeJ3R0dKTEMKvR0tKSahMsg9LKHEoncyidzKO0MsfevXsHPSedHHkRcKrHdk10n0KhUCgU\nin5IJ0c+6PR5NWnDHNXV1ak2wTIorcyhdDKH0sk8Sqv4kU6T3U4DE3tsT0SPyg0mT57M6tWrje05\nc+YYZVsV3SxcuJCqqqpUm2EJlFbmUDqZQ+lkHqVV3+zZs6fXcHpmZuag16TNOnIhhAM4CCwDaoH3\ngM9IKQ+k1DCFQqFQKNKYtInIpZRhIcSXgL+gLz/7d+XEFQqFQqEYmLSJyBUKhUKhUMROOk126xch\nxMeEEP8QQhwWQnwj1fakK0KIl4UQ9UIItUBzAIQQE4UQbwshPhRCfCCEeCjVNqUrQgiPEOJdIcQe\nIcR+IcT3Um1TOiOEsAshdgshXk+1LemKEOKEEOLvUZ3eS7U96YwQIk8I8VshxIHov7+r+jwv3SPy\naKGYg8D16BPi3kflzvtECPFRoB1YL6WclWp70hUhxDhgnJRyjxAiC9gFrFSfqb4RQnillJ3ReSxb\ngTVSStXmqw+EEF8BFgDZUsqbU21POiKEOA4skFKeS7Ut6Y4QYh2wWUr5cvTfX6aU8qIF+FaIyAct\nFKPQkVJuAc6n2o50R0pZJ6XcE33dDhwA0rOOZRogpeyMvnShz19RX8B9IIQoBm4CfgaoPssDo/QZ\nBCFELvBRKeXLoM8j68uJgzUcuSoUo0gYQohJ/P/t3X/sVXUdx/HnCwF/JIqigP0Q0VT6gw1cacpC\no0JM0q2NkQpI6/daNZW2NNcaZa0fU1wb1RwhvwZT/FUCgZZsZD+E9UU2STch5aeIgMZQxOLdH5/P\nhcPl3O/9Yl3uPdvrsbHvufd+zufzPoftvu/9fM49bxgJ/K29kXQuSb0krQV2AE9FxPp2x9Sh7gG+\nDbh2aPcCeFLSGklfancwHWwosFPSbEl/l3SfpFPKGlYhkXf23L9VVp5WXwx8K38ztxIRcTAiRgDv\nB0ZLuqrNIXUcSeOBVyOiC3/bbGZURIwErgG+npcE7Wi9gUuAmRFxCbAP+E5Zwyok8qY3ijE7VpL6\nAA8B8yPi0XbHUwV5Wm8J8OF2x9KBrgCuy+u/C4Exkua2OaaOFBHb89+dwCOk5VM72hZgS0Sszo8X\nkxL7UaqQyNcAF0o6T1JfYCLw2zbHZBUmScAsYH1EzGh3PJ1M0lmS+uftk4FPAV3tjarzRMQdEfGB\niBgKfA74Y0RMaXdcnUbSKZL65e33AGMB/8qmRES8AmyWdFF+6pPAc2VtO+aGMI34RjE9J2khcCUw\nQNJm4HsRMbvNYXWiUcAkYJ2kWlK6PSJ+38aYOtU5wBxJvUgf/OdFxB/aHFMVeEmw3CDgkfRZmt7A\ngohY0d6QOto3gAX5S+wG4PNljTr+52dmZmbWWBWm1s3MzKwBJ3IzM7MKcyI3MzOrMCdyMzOzCnMi\nNzMzqzAncjMzswpzIjdrI0lLJU3O21MlrWp3TK0g6SZJy1vU94m5JO2gVvRfN9agXE6yb6vHMusp\nJ3KzErlm8phWjxMRn46Iea0epxFJ35fU8vEjYkFEXN2i7r9MKvW4o0X9H5LHeCqPadYRnMjNygUu\nflEVXwGO54ehBXlMs47gRG5WJ39DPRf4naS9kqbl5z8q6c+S9khaK+nKwj4rJU2X9CdJ/5K0XNKA\n/NpJkuZLei3v+4ykswv7faFBHMMkPSFpl6TnJU3oJubTJc2StE3SFkk/yOVH+0rqyrc5RtIJkp6W\ndKekq4HbgYn5OLu66yu/NjUf488k7Za0UdK4QhxTJW3I52CjpBsLz68qtLtC0mpJr+fzcXlPzmXJ\ncZ8LnE+hDK2k+yXNzMsWeyWtkjRY0r35/P9D0ohC+5ckTZO0LreflafQl0l6I/8f9C8M+wxwvqRi\nMSeztnEiN6sTEZOBTcD4iOgXET+X9D7gcWB6RJwBTAMeqkswNwBTgYFA39wG4GbgNFIZ0DNJ3+b2\n14aj5L7cuaDEE8B84GxSIY6Zkj7UIOz7gQPABaT66mOBL0bEAdJ95adLGkYqgyjgrohYDvwIWJSP\nc2R3fRXGuhR4HhgA/JRUgKYW873AuIg4DbgcWFtybGeSqqjNyOfjbmCJpDMKzRqdy3rDgY0RUV8D\nfALwXeCsfCx/BVbn8RbnMWsC+CzwCeBiYDywLJ+rgaT3yW8eahzxb+BFYARmHcCJ3KxnJgFLa4VV\nIuJJUmW+a/PrAcyOiBcjYj/wAIff6A+Qkt6FkXRFxN4m440H/hkRc3I98LXAw6QEdYR8kdc1wC0R\n8VYuDzmDlPyJiOeAHwKPAbcCk+NwkQVRWEJo1lf2ckTMyn3MBc6RNDC/dhAYLunkiNgREetLju1a\n4IW8bn4wIhaRPhhc14NzWa8/UH8uA3g4n+e3SaUy90XE/BzzA6QPKEW/iIidEbENWAX8JSKeLexf\n334vcHqDmMyOKydys54ZAkzIU7N7JO0hVVEbXGjzSmH7LeDUvD2PVL1vkaStkn4iqVnlwSHAZXXj\n3UiqHlXWtg+wvdD2V6Rv8jVzScsFSyNiQ5Nxm/V16Dgj4s28eWpE7COVGf4qsE3S45IuLhnjvaQZ\nj6KX8/NHjcGR57LeHqBfyfOvFrb31z0u629H3evFx/tL2vcDXm8Qk9lx1fFlTM3apH66exOphOcx\nX62cp2Knk6a3hwBLgReA33Sz2ybSldhjezDEZuBtYEDJFHPNTNLSwDhJoyLi6fx8ffue9NVQLkm5\nQtKJwF3AfcDoumZbSVPZRUNI09nHah0wVFKvdxNvNxpe6Jg/hH0QePb/OJ7Zu+Zv5GbldpDWiGvm\nA5+RNDZfMHaSpKvy2nlN6Zu/pI9LGi7pBNKU7DvAf5qMvwS4SNIkSX3yv4/kde4jRMR2YAVwt6R+\n+SK3CySNzuNPJk0N30xa652T17Nrx3melApEN+urO5IGSro+9/0OsK/BcS7Lx3aDpN6SJgLDSB80\nDnXXbLwc7xbSevVlx7rv/+BS4KWI2Nziccx6xIncrNyPgTvz9PKtOWFcD9xBmqbdBNzGkUkj6rZr\njwcBDwJvAOuBlZT/XOrQPnkNfSxpbXorsD3H1OhGJFPya+uB3Xm8wfmq7nuAKRHxZkQsJK3t1y72\nejD/3SVpTXd9lRxX/XH3Am7J8e4CPgZ8reTYdpGuAbgNeI10Idv4iNhd0mejMYt+DUzupn13MTfS\n3f43Ab9ssr/ZcaPD17yYmVWP0l3WuoAxrb4pTL6obyUwIv8iwKztnMjNzMwqzFPrZmZmFeZEbmZm\nVmFO5GZmZhXmRG5mZlZhTuRmZmYV5kRuZmZWYU7kZmZmFeZEbmZmVmH/Bf1ES9ls+Z3HAAAAAElF\nTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 133 }, { "cell_type": "code", "collapsed": false, "input": [ "figure(figsize=(8,6))\n", "a = 1.6*1e-3\n", "b = .7/2.*1e-3\n", "c = 1.08*1e-3\n", "d = .73*1e-3\n", "L = 2.5*1e-3\n", "E = .3e9 #Youngs modulus, LDPE\n", "th = 20*1e-3\n", "I = th*(2*b)**3/12\n", "def theta(f):\n", " return (b+d)*f*L/E/I\n", "def quant(f):\n", " return -sqrt(d**2 + (c+theta(f)*(b+d/2.))**2) + a\n", "f = linspace(0,50.,10)\n", "plot(f,quant(f)*1e3)\n", "title(\"Predicted length discrepency\")\n", "xlabel(\"load ($N$)\")\n", "ylabel(\"length discrepency (mm)\")" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 131, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAf4AAAGPCAYAAAC9EbJBAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n1RwAAAAASUVORK5CYII=\n", "text": [ "" ] } ], "prompt_number": 131 }, { "cell_type": "code", "collapsed": false, "input": [], "language": "python", "metadata": {}, "outputs": [] } ], "metadata": {} } ] }