{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Spatial frequency task with Muse\n", "\n", "This experiment uses visual stimuli with different spatial frequencies to produce strong ERPs, beta (and potentially, gamma) oscillations, and induce alpha reset. It is meant to be used as a benchmark paradigm for testing signal quality, since it induces various EEG responses.\n", "\n", "Stimuli were presented for 1.5 s with a random intertrial interval of 1.0 to 1.5 s. The task was to passively fixate the center of the screen while the stimuli were displayed. Three blocks of 400 s were recorded for a single partipant.\n", "\n", "The low spatial frequency stimulus was a grating with `freq=0.1`, while the high spatial frequency stimulus was a grating with `freq=4.1`.\n", "\n", "This protocol was inspired by:\n", "\n", "> Hermes, Dora, K. J. Miller, B. A. Wandell, and Jonathan Winawer. \"Stimulus dependence of gamma oscillations in human visual cortex.\" Cerebral Cortex 25, no. 9 (2015): 2951-2959.\n", "\n", "Moreover, an external electrode was added to the Muse headband to collect data at POz." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import os\n", "import sys\n", "from collections import OrderedDict\n", "\n", "import pandas as pd\n", "import numpy as np\n", "import seaborn as sns\n", "from mne import Epochs, find_events\n", "from matplotlib import pyplot as plt\n", "%matplotlib inline\n", "\n", "sys.path.append('../muse')\n", "import utils" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Load data into MNE objects" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Creating RawArray with float64 data, n_channels=6, n_times=57612\n", " Range : 0 ... 57611 = 0.000 ... 225.043 secs\n", "Ready.\n", "Creating RawArray with float64 data, n_channels=6, n_times=57624\n", " Range : 0 ... 57623 = 0.000 ... 225.090 secs\n", "Ready.\n", "Creating RawArray with float64 data, n_channels=6, n_times=57612\n", " Range : 0 ... 57611 = 0.000 ... 225.043 secs\n", "Ready.\n" ] } ], "source": [ "subject = 1\n", "session = 1\n", "raw = utils.load_data('visual/spatial_freq', sfreq=256., \n", " subject_nb=subject, session_nb=session,\n", " ch_ind=[0, 1, 2, 3, 4], \n", " replace_ch_names={'Right AUX': 'POz'})" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Power Spectrum" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Effective window size : 8.000 (s)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/home/hubert/.pyenv/versions/3.6.0/envs/musetools/lib/python3.6/site-packages/mne/viz/raw.py:614: DeprecationWarning: In version 0.15 average will default to False and spatial_colors will default to True.\n", " 'spatial_colors will default to True.', DeprecationWarning)\n" ] }, { "data": { "image/png": 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oillsqPySJpMkCZs3b+ahA4RwZvT4fD6sWrWKMyOE9zN6ODNanJaX\nKxr85DlNs2nuLbk0+E1NTejp6cm6Vj5RbPC9Xi/Ky8unzHzEihtnRo91JpMzo4P3M3o4M1qo5TUw\nMJB2OY2tyKNcvpnl0uD/8Y9/xEsvvZR1rXwaGBjA2NhYQdchW6qqoq2tDaqqFnpVWIY4M3pkWcbA\nwABnRgjvZ/RwZrRQy6u1tTXtclc0+MkX2eZyh7JsG/yKigpUVlZi1apVWc2jn2+CIKCxsbFg9XNh\nmiYMwyBzkQvjzCjSdR26rnNmhPB+Rg9nRovT8nJFg5981D6XBn+uO99O5/V68dBDD2HVqlXo6+vL\nul4+jY2NkbrhlSRJ2LRpk2PGwLkBZ0aPKIqorq7mzAjh/YwezowWp+XligY/eTxVLmPwc5kLf+3a\ntUXR4I+OjhZ8qFA2DMNALBZzzI0m3IAzo0fXdSQSCc6MEN7P6OHMaHFaXq5o8JPl8s2sqqoqp6Pg\nNTU16O/vz/p5+aQoCsbGxqaMKWtubsbJkycLuFazUxQFDQ0NpM46uB1nRk88HkcoFOLMCOH9jB7O\njBan5eWKBj95iE0uDf7KlStzHruf7Rz6+RYIBODz+aZ80ejo6MDo6GgB12p2fr8fW7duzXpYFCsc\nzowen8+HtWvXcmaE8H5GD2dGi9PyckWDb11kq+s6ysvLs36+x+PBypUrc7qy2rpgo5ANdUlJCUKh\nkP3vRCJRtN9Qren7PB5PoVeFZYgzo8cwDPh8Ps6MEN7P6OHMaHFaXq5o8DVNAzA5NVxNTU1Or3HT\nTTehrq4u68Z43bp12Lt3L5544omc6uZL8pmEYm7wFUVBU1NT0a4fS8WZ0ROPxzEwMEDyXhluxfsZ\nPZwZLdTyuvrqq9Mud0WDn6yioiKn53m9Xlx11VVZf7PbuXMnNm3ahPPPPz/rC3XzyZqu0zTNom7w\nPR4PSkpKHPMN2g04M3oMw3DMTBFuwfsZPZwZLU7LyxUNvjVzjt/vn9cfNUEQsHLlyqye4/f7cckl\nl2DNmjXo7e3NufZ8WQ2+LMvQdb1oG3xRFLFu3bqcrnlghcGZ0ePxeLBixYqcZhVjhcH7GT2cGS1O\ny8sVDb5hGDAMA1VVVfN+rauvvjqnsfj19fVoaWmZd/1cWUN04vE4TNMs2gZf13WMjo4W9GwHyw5n\nRo+qqojFYmTu2Mh4P6OIM6OFWl6nT59Ou9wVDb6maZBlGddee+28X2vJkiVYtWpV1s9btWqVfQS/\nEHdJUxQFqqqivb0dgUAApmkW5R93VVXR0tJSlOvGZsaZ0SPLMsLhcNF+0WepeD+jhzOjhVpe0Wg0\n7XJXNPiGYWDJkiV5m/qovr4+6+kvPR4PvF4vQqEQ/umf/gldXV15WZds6vf29qKtrQ2CIMAwjIJP\n4TkTv9+PK664wjHTVLkBZ0aPIAjYuHGjY05FuwHvZ/RwZrQ4LS9XNPherxfV1dV5e721a9fm9Lw7\n7rgDBw4cwJe//GV88MEHeVufTAQCAbz//vuIxWL2v9va2hZ1HTLh8Xjs/zEaODN6DMPgvIjh/Ywe\nzowWp+XligY/EAjgmmuuydvr+Xy+nObTr6iowL333ouqqiqMj4/nbX0yNTY2hkAgAGDyCF5nZ+ei\nr8NcZFnG6dOnefo+QjgzehKJBHp6euyL71nx4/2MHs6MFqfl5YoG37rRVT4tXbp0Xs8XRXHRx3kt\nWbJkyr/Hxsbw5ptvYmxsbFHXIx1BEFBVVbUgmbGFwZnR4/F4UF5eDq/XFX8CHIH3M3o4M1qclpcr\nPt0XYiq4ZcuWwTCMnJ9fX1+PX/7yl3jyySezel5PTw8GBgZyrpvM7/ejv78fJ0+etF/7ueeeQyQS\nAQCEQiG88847eamVKZ/Ph5qaGp6+jxDOjB6v14ulS5c65g+ZG/B+Rg9nRovT8nJFg78Qs9asWbNm\nXhepbt68GZs2bcLatWvR09OT0XNGRkawf/9+vPjii3mbxsnr9aKvrw8A0NDQAMMw8N577wEAGhsb\n7WWLRdM0hMNh++7DrPhxZvRomobR0VGeRYcQ3s/o4cxooZbXXNeWcoOfo+XLl8/r9HZ5eTluueUW\nXHnllTh69GhGz3nrrbdw9913Y+PGjXj88cfxwgsv5Fw/WSKRgCzLGBwcBAD09/fj1KlTCIfDiMVi\n0DRt0X7hdV1HKBQiMw8t48woUlUVkUiEzB8yxvsZRZwZLdTyqq+vT7vcFQ3+QtySXRCElDHtuSgv\nL7dntpmNNWf9+Pg4KisrccUVV2DHjh0QRTFvw3XOnTtnXxMgiiJOnz5t3yBsaGgI+/bty0udufj9\nfmzbts0x01S5AWdGjyRJjrpjoxvwfkYPZ0aL0/JyRYO/UBeS3XjjjYjFYvMaiw8A69atQ2tr66zL\njx07hu9973vYunUrgMnx/9dddx127dqFt99+e971/X4/3n//fZSUlNg/E0URPp8PgUAAr732Wsqs\nP6FQaF41GWOFY5omPB4PH8FnjDGiJiYm0i53RYO/ULPVVFRUoLS0FKOjo/N6nWuuuQavvvoqnnzy\nSZw4ccL+uTU2v6mpCV/+8pftBt9SWlqKeDyOf/iHf5jXtJter3fWaaEEQUAgEICu6/Y1B7quY9++\nfYjFYnk/lZVIJHDs2LGivAkXmxlnRk8ikUBHR8ecZw9Z8eD9jB7OjBZqeZ06dSrtclc0+At5Grqk\npAS7du2a1y+EIAj42te+hi984Qs4deoUYrEY2tra8NOf/hRDQ0MwTRMbNmyY8UzERz/6UfzVX/0V\n/vznP89nM7B8+fI5H2N9kenu7obP58Ozzz6LhoaGedWdThRFbNiwgYcOEMKZ0SMIAqqrqx1zQxc3\n4P2MHs6MFqfl5YoGfyGngrvuuutw/vnn5+0X4tZbb8WTTz6JV199FX/7t3+L//iP/8CWLVtmffz6\n9etRW1u74Des8fv9eOGFFxCNRjE8PIzS0lKIooj29nYAwOHDh3Hw4MF5DxcSBAHLly/n6fsI4czo\nEQQB5eXlnBkhvJ/Rw5nR4rS8XNHgz7fpTKeyshIejwcVFRV5eb3q6mp89rOfxVe+8hVUVFTgrrvu\nwiWXXJKX154PQRBQVlaG0dFRxGIxeDwe+Hw+jI6Ooru7Gz09Pejs7LSn2ASA4eFhAMiq8dc0DT09\nPTw2mBDOjB5N0zA8PMzTZBLC+xk9nBktTsvLFQ3+QkyTOd2KFSvy9ktRWVlp32jh8ssvz+jbpCAI\nC/5LKUkShoeHp5wtCAQCeOutt5BIJODz+dDW1gZgcpz+H/7wB/T39+Ps2bNoamrKqIZhGIhEIgv6\npYzlF2dGj67riMfjZKaDY7yfUcSZ0eK0vFzR4C/GlEfbt2/P21H8XKxZswa9vb0LWsPr9SIWi6UM\nB5IkyX6PFUWBoijo6OhAIBDAK6+8grKyMvvuuHORJAkXXXTRgkxtyhYGZ0aPKIqora11zKloN+D9\njB7OjBan5eWKBn8xLiQTBAHXXXcd4vG4fcOoxXTxxRfj2LFjePbZZxf02+fExETaqZlM08TExARC\noRD8fj/Kysrg9XozHgpgmiY0TVuUsy4sPzgzekzThGEYnBkhvJ/Rw5nR4rS8XNHgL9bploqKCvj9\nfqxZs2bRp1latmwZjh49irVr1+I3v/nNgv2CWhfVzsbn82F4eBjRaHTKz2ebhnM6WZZx4sSJjB/P\nCo8zo0eWZXR0dJCZDo7xfkYRZ0YLtbymT50+nSsa/MW8K1kgEMCWLVsKMv3cww8/jKuvvhqbN29G\nR0fHgtRIvj5gJqIoYmxsLKXBz/QIviRJ2Lx5s2NOkbkBZ0aPKIpYu3Zt2n2ZFRfez+jhzGihlldZ\nWVna5a5o8BdznOmyZctQU1ODQCCwaDUtq1evBgBcccUVOHbs2KLXByaHQw0PD6fcQGemb8Tvv/9+\nykV+Xq8X5eXlC3b3YZZ/nBk9Ho8HgUCAMyOE9zN6ODNanJaXM7aiiFxxxRUoLS0tSINvKSkpKeip\n91AolLL904/gG4aBhoYGnDlzZsrPVVVFe3v7gt19mOUfZ0aPoigIh8NkTkUz3s8o4sxooZZXa2tr\n2uWuaPAX89tYWVmZfXSskMrKyvD2228X5Be1pKQkZYiSoihTrgvo7OwE8OHdcS2maULXdcdc5OIG\nnBlNhmE4Zjo4N+D9jB7OjBZqeQ0MDKRd7ooGvxDNdklJyaLXTHbNNddAFEX893//N86dO1fQdQEm\nh0k999xzdkPR2NiIQCCQcmRfkiRs2rSJzBg4xplR5PP5sGrVKh6DTwjvZ/RwZrQ4LS9XNPiFUFJS\nUtBvgVVVVbj66qvxl3/5lzh48KD9c9M0C3JUXxRFKIqCI0eOQFVVeyrR6UMEDMNALBbjI4uEcGb0\n6LoORVH4RleE8H5GD2dGi9PyItPgnzx5Ep/5zGdwyy234GMf+xief/75jJ9biEZ7w4YNRTG+1ev1\nYvny5RgfHwcAdHV14dvf/nbKLDeLQRRFnDt3Du+++649hGf6EfyTJ0/iyJEjGc+6wwpPURQ0NDRw\nZoRomobu7u6i+IximeH9jB7OjBan5UWiwVcUBQ8//DAefPBBvPbaa/jZz36G73//+zh79mxGzy/E\ncJlly5bZs9oU2gUXXGAP0xkcHMSOHTvQ09NTkHUpKSlBMBi0py6d3mA0NDQgHo8v6tSmbH78fj+2\nbNnCmRHi8/lQV1fnmFPRbsD7GT2cGS1Oy4tEg3/o0CEAwJ133gkAqKurww033IA//vGPGT2/UFMe\nbdq0qSiOkG3YsAFtbW0AgKGhIWzduhW9vb0FW58VK1bY/62qKjRNAwAkEgmoqoqRkZFCrRrLgcfj\ngd/vL8i9H1huPB4PN/fE8H5GD2dGi9PyItHgt7a2oq6ubsrPNm7cmPHFo1aTbZomEomEPb5KVVX7\nVIxhGFOWKYpij1XXdR2JRMIe6iPLst2U6ro+pYlPJBL2uNY1a9bYjzNNE4qi2K+vaZq9zDCMOZdZ\ntVVVtV/fWmZJfg1d1+31lyTJ3rbR0VFs3LgR/f39i1J7ru1OJBJ47rnncOTIEfT19UFRFHR1dWF4\neDjlPbf+beUx03uuaVpK3tayTPO2ls2Wd7HUlmW5KGrHYjE0Njbavyuz1Z6+/y3mdmdTW1GUtLWt\nZZRrK4qCnp4eRCKRedUGULDtzmft6Z/1+aytqmpeakejUTQ1NUFRlEWvXcjtzrX29M+8fNbWNC2j\n2olEAo2NjfbrLGbtTLZ7ps9bt9bWdR3j4+Mz7mMzfd7mu3a67Z6t9lwTyJBo8GOxWMqG+P1+xOPx\njJ4fDocBTL75wWAQExMTAICenh57ukZZlhEMBu0wOjo6EAqFAAATExMIBoN2MM3NzfZFoiMjI2hs\nbLRrNTQ02FM/Dg4O2utomia6urrsoEZGRuz10jQNXV1ddtjhcNg+ip1IJNDV1WXX7uvrQyQSAQBE\no9EpQ216enrsbYtEIujr67NrRyIRyLIMwzAwPj6OsbGxRavd1dVlf5BN3+7+/n7E43GEQiGcPHkS\niUQCgUAAPT09eO+99+zaLS0tePnll9HS0oLR0dEp73ljY6O9zuFwGC0tLXbt5Lx7e3vtO/wqioJg\nMGjvmJ2dnfZZDStvaydqaWmx13mu2s3NzTPWDoVCKbWt34W5altTYY2OjqKhoWHG2oODgxnVVlU1\npbaV4/Tara2tGdUeGRlBIpGwj3oEg0H7Go9QKIT29vYZt7urqyuj2mNjYym1h4eHU7Y719qxWAzB\nYND+QG1pabG/AE+vffbs2SnvefJBhuTafX19KbWtfSCb2sn3iUiuPTQ0lFLbus4mubaVd3Lt7u5u\nAJPDdDo7O+3ara2tealtnS2cXru7u9uuPX27k2tHIpGU2lbe+agdj8cRDAbtz7x0tZuamqbUbmpq\nmrF2f39/Sm3rsz/5PZ+rdjAYnLH28PAwWltb7SmIg8Gg/VmcXFvTtJTaXV1dM9Zua2vLuPb07U6u\nbc3FPb12d3d3Sm3r72ty7fHx8ZTaQ0NDM9Y+c+ZMxrWt9zyRSKTUtv4+Ta997ty5KbWThwHPVlvX\ndQSDQfvmjsm1FUXBxMTElPc8k9ojIyMpta2/2XPVtt7z6dvd3t6el9rW39fptXt6elJqW39fk2tH\no9GU2sn9VHLthoaGrGtbvVxybauXm147uZebvo8l1x4YGLDf85n6yPnWTtdHpqu9cuVKpOMxCUz4\n+Zvf/Ab79+/Hb3/7W/tn//Zv/4bGxkY88cQTsz6vu7sbu3fvxp49e7Bjxw6YpglZliFJErxeL1RV\nhWmakCTJPiJtLVMUBR6PB6Io2kekrVM3sixDEAT4fD7oug5N0+wxW4lEAqIoQhAEaJqGd955Bz09\nPdB1HV6vF6Iowuv12ju8z+eDYRjQNA0+n2/WZaIowuPxQFVVeL1eCIJgL7NOtSuKYr+GruswDAOi\nKMI0TTz//PO4+eabsW/fPtxzzz1477334Pf7cemlly54bVVV076+z+eDoigoKSmBqqoQBAGSJKG/\nvx9f/OIXEQgEEI/H8dxzz6GiogJ33HEHVFW1v/RNf891XYff77fztpZlmre1bLa8i6W2LMvw+Xxk\nak/f/4q1tqIo8Hq9s9a21oty7bfeegtDQ0NYv349rrrqqpxrT98HFnO781l7+md9PmtbDRbXXtza\n0z/z8llb0zQYhkG+9kyft26tPVcvN/3zthhqt7e347bbbsP+/ftRW1ub0gOTaPAPHDiARx55BG+/\n/bb9s2984xuor6/HN77xjVmfZzX4zzzzDLZt27YYq5picHAQhw8fxrXXXou9e/eitLS0IOvxwQcf\nQJIknDx5Evfddx9M08TTTz+N++67ryDrM531jdfn8yGRSGB8fBwrV67Epk2bsGPHDkQiETz//PPw\neDz4zGc+45iLYJxA13VEo1GUl5dDEIRCrw7LwJ/+9Cf09fXhoosuwpVXXlno1WEZ4P2MHs6MFmp5\nWT3ubA0+iSE6V111FXw+H5599lkAk6fo33nnHXziE5/I6PmFnNN05cqV+PjHP46lS5cW9KK2Cy64\nAC+99BI2bNgAYPJiEtM0sXfvXvv0biFJkgRJkqBpGkKhECorKyEIApqamvDSSy+hs7MToihCFMUp\nQzJY4amqiubmZjK392aw9zPrjBorfryf0cOZ0UItr8OHD6ddTuI2hqIo4oknnsB3v/td/PznP4ff\n78c//uM/YuPGjRk9vxiO9no8Hixbtswes7nYSktLccEFF2Dr1q32z2pra1FdXY1333034/dyoYmi\niPr6evvfkiRhfHwcJ06csHO0xoYCk6c1iyFfN/P7/bjiiisKvRosC9Z+JopioVeFZYj3M3o4M1qc\nlpEKUmkAACAASURBVBeJBh8ALrroIvzud7/L6bnFcqrlqquuwiuvvFKw28N/8pOfnPLv66+/HgBw\n/PhxAMCLL76IVatWYefOnYu+bpaZpqcSRREjIyN2I5/8Jenll19O2S62uJwypZjbcG60cF70cGa0\nOC0vEkN05qtYbju8dOlS1NfXQ9d1+2r8YhAIBHDixAlUVlaiq6sLzzzzDE6ePIk//OEPc54CyjdV\nVdHZ2ZlyimzZsmX2f0ciEbS1teGdd97B4OAgDzMoMFmWcfr06aK45wPLzIkTJ3DmzBnOjBDez+jh\nzGhxWl6uaPALcSfb2WzduhWRSAS1tbVFM85r165deOedd3Ddddfhk5/8JHbs2IG2tjZs2rQJp0+f\nzvnMSS68Xi8qKirS3pxM13UcOnQIvb29EEXRnpqQFYYgCFi5cmXRnCljc7OmTeXM6OD9jB7OjBan\n5eWKBr+YwiopKcGyZctwzTXXFE2Dv3TpUnz961+HIAgQBAEbN27E3XffjW3btqG+vh7V1dVT5m9d\nSIIgYOnSpWkz8/v9kCTJvhvn0NAQFEXBm2++WTRna9zE5/Nh1apVBRt6xrKnaRoCgUDB7vLNssf7\nGT2cGS1Oy8sVn+7WzVSKxe23347y8nISF7jddNNN+MhHPpLxXYPnyxq+lGlmoihiaGgIBw4cQGdn\np33TLusmEWzhaZqGcDjMQ6UISSQSGB0d5cwI4f2MHs6MFqflxQ1+AZSXlwNAwebEz1ZJSQkSiYR9\nJ8s9e/bgT3/6EwDgj3/8I7q6uvL2HhuGgZGRkayOxLe0tCAUCqGkpASDg4MYGhrCs88+i9dffz0v\n68TS03UdoVCo6PYzNjtZljE8PMxnvAjh/YwezowWanklzzg4E1c0+IWcfz6dsrKyQq9CxiKRCB5/\n/HGoqgpJkjA4OIiuri4MDw/jV7/6FZ5++ml0dnbOu44oiqirq8vq7IYoivYMO9FoFOFwGOXl5fZt\n6tnC8vv92LZtG09XSoimaVi2bBmJs4hsEu9n9HBmtFDLq7q6Ou1yVzT4xaq6urpoxuHPZffu3bj4\n4ovR2tqK2tpa1NXVoaGhAffddx++9a1vwTAMPP744wiHwwVdz4mJCUSjUQiCwA0+Y7NQFMW+xTpj\njDHncUWDX6xTHm3btg3r1q0r9GpkZNOmTbjooovw/PPPY8OGDbj22mtx6623QhRFlJaWYteuXfib\nv/kbHDx4EMDk/PSHDh3Kuo6iKGhra4OiKDmt5+joKMbGxgBMjjPmIQgLL5FI4Pjx4/yFipB4PI6e\nnp6i/WxkqXg/o4czo4VaXgMDA2mXu6LBL+bT0BdffDHi8XjKzzVNK9hdb2dz8cUX47bbbkNNTU3K\nstraWtTU1CCRSECWZYyNjaGlpWXKXWcz4fP5UFVVlfNV7IIgoKurC8DkeH4qOypluQyrYoVlGAZK\nSkqKaoYxlh7vZ/RwZrRQy6u1tTXtclc0+MU8Fdzy5ctxww03pBxJk2UZtbW1KUegVVWFx+OBoiiL\nfiGIx+PBZZddNuf72dnZifPPPx/33nsv/vCHP9gX52bC6/WivLw858ysaTYtyV+SdF3H2NjYjGcW\nsjmS2dbWhlgsltP6OZEgCFi+fDk3i4T4/X54vd6i/mxkU/F+Rg9nRovT8nLFp3uxXxG9fv16nH/+\n+ZBlGRMTEwAmj2Rffvnl9hFxqwFdtmwZ7rrrLmiallXjvJja2tqwceNG+P1+3HLLLfiv//ove7vm\nous6hoaG8pKZ3+9HKBTC+Pg4Tp8+jTfffBMvvPAC2traAMA+uq9pGg4cODDluSdOnMDQ0NCMr9vV\n1YXW1lbouj7rGGY3jW3WNA09PT2OmVrMDQRB4GkyieH9jB7OjBan5eWKBp/COOwdO3bgsssuw86d\nO6EoCsrLy7F8+XL4fD74fD6sXLkS8XgcV155pT0r0MUXX1x0v4iSJKGrqwvLli0DMPnl5e6770Zj\nY2NGzzdNE/F4PC8NsiAI6Ovrw5kzZ9DV1YW+vj6UlpZC13UYhoGXXnoJqqpiYGAAg4OD9vNUVcWp\nU6fQ0dGBRCKRMjvQxMQEzp07h9/97nf2eP/prGsR3MAwDEQiERL7GZskiiLi8ThnRgjvZ/RwZrQ4\nLS9XNPgUxlN5vV5ccskl2Lx5M0zTREVFBbxeL5YuXYolS5Zg27ZtKC0txYoVKwAAVVVV2LFjR84X\noy6UjRs34pJLLoHH47F/Vl9fjxdffBGnT5+2f/af//mf+O1vf5syRt7n86G2tjZvd5IbGRlBa2sr\n+vv77S8NhmFgeHgY4+PjaGhoQHd3N1RVtb8sNTc3QxAERKNRhEIhNDY2wjRNe6cfHx+Hoijwer0Y\nGBhAd3d3ytmUs2fPznhthRNJkoSLLrqoaKejZalEUUR5eblj7tjoBryf0cOZ0eK0vFzR4FMaLuH1\nerFkyRIsX74cALB69WoEAgGsXr0au3fvth93ww03oLS0tOjm0r/ssstw9dVXT/mZKIp45JFH0NDQ\nAGCyQa6pqcGaNWtSrgK3bnSVr8xEUbSbGWtuW6/Xi/feew+lpaVob29HT08PgMkbeHV0dODo0aMQ\nRRHRaBT9/f0YGRnBs88+i+PHjyMYDELTNAiCAFEUMTIygvfeew8nTpywaw4MDEDTNEQikbxsQ7Ez\nTROappHaz9zO+sLKmdHB+xk9nBktTsvLFQ1+sR3lnktZWRnWr18PYHIYjjWVZvLFo9ZdcJN/VswC\ngQBUVUUwGERTUxMuvPBC1NXVpcybf+zYMfzyl79c0PsD+P1+tLe3QxAERCIRxGIxBAIB+P1+7N+/\n335vx8bG0N/fbz9vaGgIZ86cmfLtvrOzE9Fo1B63Zw3vqaysnPGeAJFIZNZhPVTJsowTJ07wlIuE\n6LqO0dFRcp+Nbsb7GT2cGS1Oy8sVDT610y07duywG3e/34/zzz9/1sdu3rwZ8Xi86Mbiz2TZsmXY\nv38/Tpw4gfr6elRVVU05gt/f349Tp06hpqZmQYcOeL1ee6iT1dgDk8ODysvL7ceJoohEImFfUR8K\nhVJ2/PHxcQQCAXi9Xpw9exb79u1Df3+/PcTHYh0ROHHiBN54440F27ZCkCQJmzdvJrefuZl1ppCH\n6NDB+xk9nBkt1PKaPlpiOlc0+MnjwSmorKzMeJ1ra2tx3333YdOmTUV/WuljH/sY7rnnHmzduhWi\nKKKiogKRSARvv/02+vr68Nprr+GBBx7A0qVLZ5w/PxgM4kc/+lFeju7P9v5OnzYwebqskpISBAKB\nKcsrKioATH4ZOH78OGKxmP3hkDxz0FtvvYVEIoHBwUHEYrGizyob853alC0+j8cDURTJfTa6Ge9n\n9HBmtDgtL2dsxRwoHN2eD1EUsWHDBsTj8aK/e+vatWtx5ZVXAphsMsbGxnDu3Dk8+eSTWLNmDYDJ\nYUnPPfcchoaGoKoq/ud//gf9/f1499138dGPfjRlVpvFMtdOHwgEplzQbR3BNwwDXV1dOHnyJKLR\nKBRFyXjaUApUVUV7e/uCDqti+WUYBqLRKGdGCO9n9HBmtDgtL1ecn3XS0dLZWDdnEEURuq7bzags\ny/D5fEV744Y777wTK1assNdd0zSUlZXh85//PJ566ilceumlGBwcxKuvvordu3ejrKwMx48fx6ZN\nmwq96nOKRqMwTRPd3d3weDw4fvw4VqxYAVVV0dfXh6VLl2LlypUAJr+EyrJcdBdNZ8I0zbT3BGDF\nyTRNzowQ3s/o4cxooZZX8syEM5mzwVcUBS+//DIOHjyIpqYmDA8PwzRNLF++HJs3b8a1116L22+/\nvajHLFGYJnO+BEGwx9QGAgF7iEtpaSmi0Si8Xq891ryYrF27dsq/fT4fVq1aBQC477778KMf/QiP\nPvqoPZzANE20tLRg6dKluOCCCxAOh3HeeecVYtXnpGkaotEoOjo64Pf77fdfFEW0tLQgFArhxhtv\nxNq1a/Hmm29iYGAAn/vc5wAAvb299hmNYidJEokvXGySaZr2qWgeg08H72f0cGa0UMsr+Tq/maQd\nc/DUU0/hpptuwg9/+EPE43Hs3r0bX/3qV/HQQw/h5ptvRjwexw9/+EPcdNNN+N3vfpfXFc8nKt/G\n5quiogKBQACVlZX2N9G6ujrs2rUL5513HonTToZhQFEUGIaBJUuW4Lvf/S4kSbLHCns8Htxzzz2I\nRCL46U9/itdffz3lNUzTxAsvvDDjLDaLye/349y5cwiFQinLwuEwJElCc3MzXnnlFfT399s34DIM\nA0eOHCnAGufGMAy+aRIhqqrC6/VC1/Wiv8s3+xDvZ/RwZrQ4La9ZD988/PDD6OjowN/93d/h9ttv\nn3X8sWmaePnll/Gzn/0M77zzDh5//PEFW9lcuWUquCVLlkCWZaxevRpnzpyB1+vFli1bIEkSKisr\n0djYCFEUMTExgZKSkqK8kETTNHR1dWHdunVTGvtkVVVVuPHGG9HV1YW1a9ciHA6jqqrKXt7a2opo\nNIrW1tYpP19sPp8Pp06dgiRJKe+1dbFuOByGqqooKSnBxMQE4vE4VFVNuXFWMVMUBWfOnMEll1yS\nchEyKz6yLMPr9SISiTj++iQn4f2MHs6MFqflNWuHV1dXh+eeew533HFH2kbQ4/HgjjvuwLPPPou6\nuroFWcn5KubhQ/m0evVqlJWVYeXKlfB4PFi9erW97aWlpXaOVVVVqKysLMo/7qIoYv369XMOq/J6\nvfiLv/gLXHzxxXj77bfx0ksv2cuOHTuGu+66a8Yj57quL+oXvv/P3plHt1Ge+/87kka7bMm7491x\n7HiJs8dxyEIIJmELCVspWykUSkt7l5be9v44tJdb7u1pb+kG5UJpgcsaSsLeBpI4IXviLCROvDve\nbXmTZcmypJFmNL8/dOatZMmyHTuJxpnPORxijTTPzDwz7zzv8z6LTqeLeC48zxMdyWQyDA8Pw2w2\ng6IoUay4AP6VipKSkqgMAZMIhWVZUsVKCtERD9JzJj4knYmL2aavcS33H/3oR+MaJoODg+jq6gr6\njKZpPPnkkzN7dDPE1VIKLjExEbm5uVAqldDr9aRZFuD3Jgs3rcFgwMaNG1FYWBh14UtTLd83Z84c\nHDhwAFqtFocPHwbgN2BiYmLgdrtDvn/69GkcP358Wsc4k9eMpmmSAK1SqTA0NASLxQK5XA6r1Yr+\n/n4MDg7OmLxLAUVRUKlUV81zJnaEJHzJuBcX0nMmPiSdiYvZpq8JYzTefvtt/Nd//RfOnDkDnufx\nwx/+EKtXr0ZFRQUeeOABUXTlFIsndLrQNA2DwQAAKC0tDVlRESq0CEtPCQkJYBgGw8PDUROLy7Is\nenp6Jr26QFEUfvKTn+C6666Dz+fDZ599RjrRhqOlpSVsjf3JwvM8Xn755Yv+fSRkMhkGBgZgNpuh\nUqlgNptx8ODBK1YWdLJ4PB40NjZeNaFwYkd41u12+1UzNs4GpOdMfEg6ExezTV8RDfwXXngBv//9\n79Hc3Ixvf/vbeOGFF9Df34+//vWv2LZtG9RqNX77299ermO9aGbLbGwq5ObmhqzAaDQasCxLJgEm\nkwlutxsrV66Mqht6qlWPhKo7a9asQU9PD6mqI5PJwLIsLly4AMDfeMrj8YT17AfCMAzq6urCbuvr\n60NdXR04jkNtbe2UjnMymM1msCwLmUxGmmIF1sxnGAb19fUzLnc6UBQFtVp9VT5nYkS4v6K1dK5E\neKTnTHxIOhMXYtNXUlJSxO0RDfy//e1veOmll/Daa6/hueeew8svv4z//M//RGlpKRYuXIif//zn\n2Lt374we8KVAWor2o9VqwTAMqb2u0Wig0WhQXFwMo9F4hY/Oj0KhQGJi4kXr7MEHH0RhYSEA/ySn\npaUFb7zxBi5cuIB3330Xa9euJaU2//znP4PjOBw8eBDbtm0jFXn27NmD3bt3hw3FaW1txaJFi/DK\nK69g//79YY/BZrNddBiQSqUiE5yuri7IZLIgA39oaAiNjY0Xte9LxWTzJiSiA47joFAooNPppLFR\nREjPmfiQdCYuxKav3NzciNsjGvh9fX1YsmQJAKCsrAw8zyMnJ4dsT0lJEUWIzmwpeTRdDAYDeJ5H\nTEwMAP9s9ZZbbgFFUYiNjb3CR+fH5/PB6XRetM7UajVJJi4sLMTu3buxbNky7N27FytXriRhS2fO\nnMGKFStw/PhxdHZ24p577sHAwAA4jsPIyAiKi4vR09MDq9WK6upqvPvuuwCAhoYG3HLLLVi/fj1M\nJhMAoLq6Ouh4Dxw4gObm5ulcBgD+cCCVShVU69ZsNsPlck173zMJx3Gw2WxRE+YlERmWZUFRFDwe\nj6QzESE9Z+JD0pm4mG36imjgB54kTdOi9fZIcaZ+kpOTIZfLg6oKCYZ9bGwsOI4j3VctFgv5DsMw\nl22SxLIsCVOZLjqdDps2bcLatWvx6KOPoqSkBID/vnY6nSgtLUVPTw/i4+MB+Cc8Tz/9NDweD7Ky\nsvDiiy/irbfeQk1NDQwGAyorK1FSUoLExEQUFBRALpfD6/Vi7969+Pjjj8FxHNrb2+FwOGbEA6DX\n6wH44wKPHz8Ou90Oh8MBt9sNu90+7f3PFF6vF83NzdJzJhKETo0OhyMqK2lJhEd6zsSHpDNxITZ9\nBa7uhyP6CqFfAq6WMpkTYTAYxg3FSU1NBcuyWLduHRwOBzZs2ACXywWe50HTdMS4dafTOWPHSNN0\n2PyBi2Xu3LkhqxMLFizA5s2bAQB33nknNm7cCABYu3YtHnvsMaSlpSEjIwNLly7F+vXr0draioUL\nF+Lzzz8nK1qAP4fhzJkzKC8vh0qlws6dO3Hw4EHcdNNNYcN7eJ7HiRMnpnwOSqUSLS0tqK+vh81m\ng1qtRnt7+5T3c6lQqVRYsmTJrCktNtthWRZKpRImk0m0TpurEek5Ex+SzsSF2PR17ty5iNsjju4M\nw2DFihXj/g2Io4mUWBImLjUqlQrLli0Luy0xMRH33HMP5HI5MjMzIZfLcf78edA0jWXLlqGysjLs\n74TOb5Eq10yFy6Gr0tLSsJ/PmTMHAJCdnQ0AuP322+H1elFeXo709HTcfvvtQT0hEhIS8Pnnn+M7\n3/kONBoNfvWrX+Gpp54KOQee57Fr1y7Ex8fj/fffx7Jly6Z8njRNY2hoiBj4gSssVxrp+RIXQplM\niqIk3YkISVfiQ9KZuJht+opo4P/iF7+4XMdxSRHDJORykZqaGvZziqJIVQ3h//PmzUN2djZ0Oh3p\nkjsWt9uNvLw8DA4OzkhVDq/Xi97eXqSkpERFogtN01i/fj0AoLy8PGhbRkYGysrKyApBoHFPURR4\nngdFUTh27BiSkpLw5ptvoqKiAq2trRMmx4Sjr6+PXOOenh4wDAOFQnHFq6EwDIPm5mbk5eWJxvNx\nNcOyLHw+H2w2W1SNjUIHa4nwSM+Z+JB0Ji5mm74iGvhbt269XMdxSbnSBpBYKS4uJv82mUzo7Owk\nFTiECQFFUVi+fDk+++yzGbnOMpkMBoMhYvfkaCE+Pp4Y/0Dw7F+r1cLpdEKr1aKpqQkPPvgg0tLS\nYDKZ8OabbyInJ2fK3oLAZmUKhQLvv/8+NBoN7rjjjpk5oYtELpcjPj5ees5EAsdxoGkaSqUyqjxW\nVqtVMvAjID1n4kPSmbiYbfoa18Cfivf+3//932fkYC4Vs0VZV5LMzEy0t7djwYIFqK2tJbG7KpUK\nMTExyM/PR1NTE3ien1bOg1wuj5qSndMhNTUV7e3taGxsJGU7hZq1S5cuxbFjx7B48WLSdOzYsWMY\nGRlBRUUFbDZb2BKGgR4FmUwGtVoNt9tNVgpGRkZIj4PLiUKhIL0IJKIflmUhl8uh0WiiamyMtupQ\n0Yb0nIkPSWfiYrbpa1wDf2wTn/Pnz0OtViM7Oxs8z6O1tRVerxdlZWWX/CCni1Qmc/qkpaVhyZIl\nyMvLI0l6NTU1pKZ+WloaTp8+jbi4uGnJ8fl8cDgc0Ov1ovDij8fChQvx05/+FA888AAx8AVKS0ux\nZ88evPXWW7jtttvQ09ODnp4eEi7x2WefYd68eSH5LuHgOA6jo6OgaRofffQR7rvvvst+3TiOw9DQ\nEOLi4qLKYJQIj1BFx+12R1U5uIkqQlztSM+Z+JB0Ji5mm77GNfDffPNN8u8XXngBZWVl+M53vkNO\n2uv14vnnnxdFhRqpFNz0kcvlxFBdunQpGIbByZMniVc6Pj4eSqUSGRkZ6OzshMfjIXXcp4LwgGk0\nmnENVcFjHc0oFAp8//vfD5vzQFEUKioq4PF48P7776OgoABbt27Fe++9B8DvnW9qapqUga9QKNDf\n3w+fzwev14v+/v7L7oFgWRY9PT2IiYmZFYPibEeog+9yuaIqBn+iDtNXO9JzJj4knYmL2aavSbn6\n3nnnHTz22GNBJ0zTNJ544gm88847l+zgZgoxTELEhkqlwoYNG1BQUADAf42LioqQkJAAj8cDvV6P\nhQsXTrmeLE3TSE5OHrd8H8MwGBkZmfbxXw7GS2gWUCqVuO+++0hVHblcDpvNBq1WC7lcPqmVJ6VS\nifb2dnR0dECv16O3t3emDn/SqFQqLFy4cFYkJV0NCDH40RZrOpPldmcj0nMmPiSdiQux6WvBggUR\nt0/KwKcoCi0tLSGft7e3h633LXF1kJmZGfQgrFixAklJSfB6vTCZTCgpKQkqnznZJXilUhm2Yo+A\nUM5yIsabXETa95VkyZIl+O1vf4tVq1YhIyMDL774Il566aUJf2c2m9Hb2wuZTAaLxYLDhw8Hbe/r\n65OeUwkCy7KQyWSTnkReLiQPvoSEhMTk0el0EbdPqsvJ5s2b8dBDD2HTpk3IzMwEx3Ewm83YuXMn\nbr755hk50EtJtBp0sxGdTgee50nozrx581BdXQ2WZZGcnAyHwwHAn1BHURRJMhXweDyw2WzIyMgg\nL3y32w25XA6aphEXF4eEhASMjIxEDNPxeDzQaDRhY4ztdjsSExNn6pRnjLlz5+LGG29EYmIi5HI5\n6uvrkZiYiNHR0YgPcuAKVUtLC5KTkwH4DX+NRoNPP/0UGo2G9DkAgPr6euTm5s7I6pbb7UZdXR0K\nCwtD9CkRfXAcB5/Ph+Hh4ajymkuhlJGRnjPxIelMXMw2fU3Kg/+jH/0ITz75JLq7u/Hhhx9i+/bt\naG5uxqOPPoqf/OQnl/oYp0001FO/WpDJZIiJiUFeXh4Af/Ktx+OByWRCamoq8RgKITh2uz3o9wqF\nArm5uUhPTyfGuVarRVZWFgBAr9cjLy8PbrebTNyESUMgBoMBmZmZYT3X001CvZReTyFpPS4uDo88\n8ghycnLQ1taGwcFBAJgwKdJoNMLlcsHn82H37t346KOPEBsbS5JxBaqrq9Hf3z8jx0zTNLKysqTn\nTCQIpW5jYmKiKpdFLO3hrxTScyY+JJ2JC7HpK1xkTSDjWjodHR3/+JJMhjvvvBOvvPIKPv30U3zx\nxRd444038PDDDwfFSnd2ds7AIc88Yq7GIkZuvfVW4ik2GAygKAopKSlISEiA3W4HwzCkDKRQEpPn\neXi9XvA8j8zMTOTn55MEQJ1Oh+zsbLjdbmi1WhiNRqxduxY6nQ5OpxMajSbkGLRaLTIyMkJK7/l8\nPhiNxhDD3+12T9pwdzqdl62kX3Z2No4cOYJnn30WHMfhf//3f7F///5xv09RFBiGQXd3NyiKgl6v\nB0VRoGmaxOe7XC643W709PSQ39lstouuYiKXy2dN1YGrgcAymdEUusXzfFRV9Yk2pOdMfEg6Exdi\n09dETrpxLd+vf/3reO+99yY14Pp8Prz33nv4+te/PvUjvAxIL43LS+DsVyaTQaFQoKSkBCaTCVqt\nFkqlEjqdDmVlZUhLSwPLsliwYAE2bNiA0dFRqFQqKJVKxMfHk8lASkoKOI4jZTizsrJgMBhgMBjC\nhtvodDrEx8eHTO4YhkFOTk5I9RCZTIb58+dP6l4ROte6XK5L7nU0GAy4/vrrsXnzZhw9ehQlJSXo\n6uoCx3Fwu90hKyCAP1Foz549QUuMNE2jo6MDn3zyCerr66FUKoOSlWtqaiJOHMbCcRx27NiBzs5O\nUnlACrEQBxzHgaIouN3uqKqiw/O8dA9FQHrOxIekM3Ex2/Q1roH/+uuv480330RFRQVeeuklnD17\nNigJyu12o7q6Gi+99BIqKirw1ltv4fXXX78cxzxlJAP/yrJx40aoVCpoNBqsXLkSy5cvR1JSEnJy\ncjBnzhzY7XZkZGQgKSkJd9xxBxiGAcdxWLx4MebOnUtq4qemppK6+4Df+E1OToZOpyNhOqOjo+A4\nDgaDAXK5HLGxsfB4PMQ7zfM8MjIywLIs8WTyPA+9Xo/09HQS9iOTyeB2u2GxWAD4PdwC8fHxUKlU\nSElJGTe/YyYNp5ycHBQVFeGDDz5AeXk5SktLUVNTg1OnTqGqqirk+3K5nHjuA2lvb4fb7caJEyeg\nUCjI5IDnefT39wed40S4XC44HA6cPHkSHMfBZrNJz5lIEFbKWJaNmrAYnufh8/lmzYv1UiA9Z+JD\n0pm4mG36GjfJdt68efjoo4/wwQcf4M0338Tvfvc7UBRFkvKEOufz5s3D448/jq1bt45b2vBKI5XJ\nvLIIXneKopCbmxu0LT09HUVFRSSJNDY2lnjIU1NTieceANasWRPklU5NTYVarUZ/fz/kcjk8Hg8M\nBgOsVitycnIAACaTCcPDwygvL8fRo0dRWloKk8kEiqKQlpaGRYsW4cMPP0RCQgJiY2NJmEBOTg4u\nXLhAwnbS09MxMDAApVKJnJwcqNVqlJSUYPv27UGGCc/zkMlk8Hq9IffddDrNJicnY8uWLVCpVMjL\ny8MXX3wBt9s9bvhZuNhq4boKYVEOhwMsy+LkyZNwOp1gWRZut3tSyUV2ux0ymQwjIyNwOBwhzbwk\noheWZaFSqcKucF0phOdstrxYLwUqlUp6zkSGpDNxMdv0FdEiVygUuPvuu3H33XdjcHAQTU1Ngolh\n/gAAIABJREFUsFqtAPyGU15eXlRWIxlLNMWZSgRDURRWr15N/hY8eTKZDBRFgaIoMnEcG2ufkZEB\nwO+xXr9+Pfbt24ekpCRUVFSQ8pz5+fno6elBXl4eDhw4gJKSEigUCng8HmRmZsJgMJDEGrlcjtLS\nUtKRt6enB7m5uWhubkZSUhIYhsGcOXOQkZGBjIwMYsy73W7ceeed2L9/P7xeLxITE2EwGFBTU0Ni\n+Xien5ZXn6IorF27llwHoQvpxSRJBhp1g4OD6O7uhlKpBMdxGB4eDmmU5fV64XQ6yQQBAIaGhqBU\nKiGXy9Hc3Ayj0Uh0JhHdCI2uKIqKGo+58MxHy4pCNDJ2bJSIfiSdiYvZpq9Ju28SEhJQXl6Om266\nCTfddBPKy8tFYdwDMxsuIXFpYRgGZ86cmVJp07i4OKSnp5MSmoFe8qSkJNxyyy2QyWTYsGEDaJoG\nRVG4//77kZmZCcBfv1/w+C9evBg0TSMhIQHLly9Hfn4+HA4HjEYjUlJSkJ+fT/ZNURRUKhVomoZW\nq0Vqaiqys7NRXl6OmJiYIOOJYRhkZWWREKLpMjAwgOLi4mlNXtVqNaqrq0n4kkqlCpu0c+zYMRw7\ndizoM6fTSSYvFotlyjqTuHJwHAee52GxWKKm9rwwWZbuofG5mLFR4soi6UxczDZ9RWdMzQwjheiI\nB6VSifz8/IvS2Q033BD2c8GbLxjxAILCUObOnRv0/ZSUFOh0OhgMBmJ4xMXFBf0+cD+CkT1//nwy\n69fr9SQUQqCwsBC9vb1gGCaoAdjFcM899yAhIQH19fXgOA4ulwujo6OkBv5koCgK/f395BhlMhkG\nBgbQ0dEBhUKBOXPmwGw2w263h606FPjvQJ3Z7XbExMQAAIaHh0lIUG1tLYqKiqZ13hLTx+v1kk62\n0RKi09fXB6/XGzUTjmhkOmOjxJVB0pm4EJu+9Hp9xO3RMbpfYmbDUsvVgkwmg8FguCjDg6bpGalf\nW15eTuRTFIWcnJxxDXKVSkXyB9RqNTGW1Wo1KIrC6Ogo7HY7Vq9ejaSkJGLgTrfMZmJiIiiKQnFx\nMY4dO4Zt27bh008/nfJ+1Gp1UEmw3t5eHD58GDU1NRgZGcGuXbtgt9tDDK/Av4XKR0K40smTJ8m2\nEydOgGEY8DyPY8eOBZUiDVcBSOLSI9TB12g0UdPJ9ssvv0R3d7cUohOB6YyNElcGSWfiQmz6Kikp\nibhdHGcxTaIlzlRiYrxeL9ra2q7oi35sIuzq1avHnTiMrewjoFQqIZPJkJycjIqKCmRnZ0Oj0WD5\n8uUA/DksY7kYg7e4uBgNDQ342te+hri4OHz44YckT+ZioGmaVNipra2FXC6Hz+cjfQI+/fRTWK3W\noJr5crkc27Ztg9frRWdnZ9DkxeVykc9YliW1+FtbW7Fjxw60trZe9LFKXBwsy8Ln82FkZCRqwhdd\nLhcYhpHG6ghEw9goMTUknYmL2aavaRv4gd66aEVKshUPQhWbaNJZpFWBBQsWYOHChSGfKxQK4g0Q\nkoEB/4rAypUrsXbtWtKNVyhbmJycTAxplUo1qXAFmUyGhx9+GAaDATk5Odi3bx/a2tou6jyF/VEU\nBafTifb2drIq4fP50NDQALvdjvr6+iADXwjt8Xq96OrqCvIK+3w+9Pb2YmhoCBqNBkNDQwD8JTsN\nBgPOnz9PvhP4m8rKSjidTvIZwzAhE6BoukfEBMuyRM/RUrXG7XbD5XJFzfFEI9E4NkpERtKZuJht\n+pqUgV9YWIhnn3027KzmkUcemfGDmmnE0nZYwu/5njt3rmhi4CJBURQpERpIfn4+YmJisHDhQlJB\nyOv1YvXq1dBqtfB4PKioqEB8fPyUBpr8/Hw88sgjpAs1wzBoaGiA0+kMamo1GRQKRYixdfbsWahU\nKpjN5qBtCoUCKSkpOHHiBHp6eoI8+AzDYGRkBAMDA1Cr1WTb8PAwAMBqtaKpqQmHDx8mv2loaIDZ\nbA5qwy3kBgg4HA6cOnVqSud0qRDby4BlWRKDHy243W5SGUoiPLNpbLxakHQmLsSmr7HFL8YyKQNf\nLpfjq6++wr333guz2Ry0TQwvNzEco4Qfn88Hl8sVNbHB02Hu3LlBVXfGsmDBAmRlZWHjxo342te+\nhtjYWKSlpSEjIwNqtRqrVq2CTqeb9LXQ6XRYuHAhXC4XvvrqK3zwwQfo7+/Hc889h7fffjvouxMZ\n/GPzGQQvPvCPEpkCPp8PFEWhq6sLKpUKDMPAZrOBZVl4PB44HA5YrVZQFAWPxwOPx0PkazQaHDx4\nEE6nk1QuaG5uhlqtxuDgIJFhsViCPPidnZ3o6emZ1HUJPM5LEQJSXV0tqnwCwYj2+XxRsxQtefAn\nZjaNjVcLks7ExWzT16QN/G3btqG0tBRbtmwJamkvhgTWaIkzlZgYj8eD2traWaGzFStWBCWwjkdc\nXBz53oIFC7B06VIA/sZUGzZsAMMwpErOWMIl6/p8PtTV1eGee+7BmjVr8OCDD8JoNMLpdGLnzp0Y\nHR3Ff/zHf0wp0VculxOjXugdIMCyLDo7O4PGgh07duDAgQPgeR5ut5sY6wzDoK+vj3yXoiiS6NvV\n1YX29nbi3Rf+D/gTeQOP12KxwGazhdwnkSYuQ0NDOHr06KTPebIIYUvjEW0OBmGSY7FYouY5c7lc\ns+rFeimYTWPj1YKkM3Ex2/Q16Rh8mqbx9NNP45lnnsGTTz6J3/zmN6KJVRLLcouE31NcUlISVF7y\nakKr1QaVvlKpVDCZTFCr1UGNpgQcDkfIZ/PmzYPD4SBGdFZWFhYuXIgXXngBDQ0NqK2txebNm1FV\nVUV+U1dXN+nav2MnLTRNIzMzkxj9Go0GMTExsFgs0Gq1xHMP+AfQnp6eoDKlarUaSqUSjY2N2Ldv\nH2loFpgE6nQ6iYHv8/lI9+Jz584Fhers378/aExqaGgg/+7v70dnZ+ekzjEcwkRrLB6PBxcuXIDZ\nbMaZM2eCVgm6u7uDwo8iwbJs2D4EMw3HcaBpGikpKVFTLUK49yQDf3yu9rFRjEg6ExezTV+TGt0D\nX5ibNm3Cjh07cOjQITz00EOiGJDFsMog4UdoHiXp7B+kp6dj4cKFpLa8EOYC+OPfx06yFy1ahJtv\nvjnos8LCQmzatAnp6ek4f/48Vq9eTUJceJ7Hnj17sGvXrikdl7CiQFEUaSAWiPC3Wq0mBj3DMONW\n+enp6Qma3MjlcmKQj46OwuFwwOfz4ezZs2AYBkqlEidPngxK0B0cHCSJvHa7HV9++SUJ+xgZGQHH\ncWETdifDkSNH8OWXXwLwXzMhvMXtdoOmaezZswc1NTX4/PPPybhYV1cXlCwcifb29qAJyaWCZVnI\n5fKgsKsrjdA9MlqOJxqRxkbxIelMXMw2fU3KwBdK+wlkZmZi27ZtyM3NFUVZs2iJM5WYGI/Hg8bG\nxlmzRDYTLFq0CPn5+UhJSYFKpUJKSgpSU1PB8zySkpJC7m+appGWlhayn9LSUuTn5yMvLy+o/OXg\n4CAKCwvDhgCNh9lsxosvvogTJ06AZVn09PRMaiwYHR3FwMBA2G1jVyiUSiXOnj2L4eFhYpx3dHSg\no6ODrBYYjUZYrVZ4PB4wDAOZTIbW1lbs3bsX1dXVUKvVsNlsAPyrADzPw2azYf/+/VM6X8A/YbDZ\nbOB5HkNDQzh48CCAf4RJaTQaqFQqDA0NkZAkm80WUg3IYrGE3f+FCxcuy30vtGO3WCxR07FRMOwl\nA398pLFRfEg6ExezTV+TMvD/8pe/hHymVCrxzDPPRIw9jRZmy2zsakCIyZZ0FkpRURFuueUWrF69\nGhqNBh6PB1lZWVOawJaWlmLNmjUAgOuvvx5vvPEGWlpaSCnPySY5Hj58GN/73vdQU1MDnucnrFR1\n5MgRtLa2wufzBYXnTATHcdi9ezfxrBw/fjwoLEkul4OmadTU1JBE3u7ubnR3d6OxsRFqtZoUBhAa\ncpnNZgwNDaGrq2tS59zZ2QmWZUnIkM1mQ1dXF3p6esJ2X9VoNGhvb4fX64XT6cTo6ChZZamsrAxb\n+aC1tRUDAwNkMuBwOCY1YfJ6vSRXobGxcUp5FdHkwReuT7QcTzQijY3iQ9KZuJht+lJE2vjGG29M\nuAOKovDAAw/M2AFdChSKiKcpEUUI8dwS4aEoCkqlElqtFizLIiMjA+fOnbuofSUnJ2Pr1q14/vnn\n8ZOf/AQulwt1dXVB3fE8Hg+2b9+O2267jXTsBfxhHhqNBkVFRWhpaUFBQUFEWZ2dnbDZbMjJyZnS\nMVIUBYfDQUJ35HJ5SA6AXC5Hd3c3GZwdDgfkcjmJ5W9qaoJKpcLw8DDUajXOnDkDlUqFxsZGEvKz\ndetWVFZWIiEhAcuWLQuKTa+urkZVVRVkMhlUKhVOnDhBGpnt27cvbGhSf38/6uvrSa35kZERnDhx\nAlarFXK5HDzPg6IoVFdXQ6fTob29HSqViqwq1NfXIz4+HrGxsSFJzV6vF1VVVbjmmmvQ0dGBgYEB\nrFy5Em1tbbBarVAoFJg/f36QvgLheR5yuRzx8fFB4U1XEilEZ2KksVF8SDoTF2LTV25ubsTtES3f\n119/Pehvs9mM1NTUoM/EYOBLLw3xwHEcMegmU4HmasVkMoFlWRiNxil5xMeSmJiIZ555BhRFYcGC\nBXj77bfBsiwKCgqg0WhQU1MDiqLQ0dGBwsLCkN8vWbIEf/3rX0lpz/GSNoXQmIshMC5foLW1NWiy\nMDIyArvdTjz9gXi9Xhw9epQY/HK5HAqFgtTSl8lkeP/996FUKmG1WpGYmIicnBy0tLQgNzcXo6Oj\nkMlkJFl/YGCArESMzRsQsNvtJESI53l8/PHHUCgUUKlUcDqdqK6uRmFhIWpqaohxS9M0WREYGRnB\n8PAwuru7UV5eHlRutaqqiqwqmM1muFwu8DwPq9UKi8UCmUwGo9GIuXPnjntNeZ6Hx+OB1+tFS0sL\nKIqa8uRrJpFCdCZGGhvFh6QzcSE2fSUlJUXcHtHA37t3b9DfpaWlIZ+JASkGXzx4vV40NzejuLhY\nFA/YlSI2NhZarRZyuRwJCQmwWCwk1GSq103wQMvlcixYsACHDh2C2+1GQUEBqqqqcMMNNwR5er1e\nL/EoKxQK+Hw+dHd3IysrK6hilcvlQkdHB/Huh1v2vHDhQkRDdDzee+89PPzww2SA83g8QXXzx56f\nYNwDIBOisbX+AX/YSktLC7xeL/bv3w+NRgO32w2tVku+E3iO4Yx7Yd/jyddqtaiurkZraytkMhm5\nhoC/K3BfXx9GRkZgsVig1+thNpsxb948AP4YfiHUafv27WQlxeFwgGEYqNVqsCyLwcFBzJ07FwzD\noL+/P6ibMuBfgbFYLGBZFsePH8fcuXMjGvjCS290dBQURQVdj5lAMvAnRhobxYekM3Ex2/Q1pRpp\nYo1LkspkigeVSoUlS5bMmjJVlwqtVou8vDwAICUqvV4vGIYJWzpzsixevBjf/e530drait27d+Om\nm25CQkICqUzT3NyM/v7+IM9BQUEBOI6D2+3G3r17SUz6kSNHsGfPHhJfTVEU+Xd/fz/Onj2L//u/\n/0Ntbe2Uj9NkMuHEiRPkb6VSSY5xuvT29uLEiRMwmUyorKy8JJ2wBaNcLpeDoijyMlGpVOju7sbI\nyAgMBgMoioLFYkFzczNaWlrQ1tYGuVxOJndqtRqjo6NobGwkYUNKpZKslhw+fBiNjY1gWZZ8xvM8\nFAoFsrKywLIsZDJZSMLxmTNnMDo6ilOnTqG9vR2HDh0C4A+1ampqmvHrwfO8FKIzAdLYKD4knYkL\nselrorLKUROcbrPZ8NOf/hSff/45jh49iri4OLLtwIED+PWvfw2XywWNRoMnn3wSa9eunfS+xTox\nuRqRdDU5FAoFli1bBgDE+2o2m7F3795phewAIOEiDocDGRkZ4HkeDocDR48exdmzZ+H1enH33XeT\n7y9atAivvvoquru7wbIscnJyMDQ0hKGhIeTl5aGpqQkmk4kknVosFhw4cABerxc//vGP8cknnyA+\nPh7JycmTPkaj0RjU1IqmaRgMhoi/YVl2Uvk4gYP7dK9lJMbbd01NDSmJCvi9501NTdDpdCSpGPjH\ns6JSqVBdXR10/v39/bBaraS0aGVlJUZHR3HdddeRkCBhX3K5HKOjo2AYBrW1tVi0aBGamprgcDjI\naobRaATgH6cn6oJ8sQjVfSTCI42N4kPSmbgQm75aWloibo+KLic2mw1333132KX6wcFB/Mu//At+\n9rOfYffu3XjmmWfwr//6r+OWmgvHbCl5dDXAMAxqamqipnxfNBM4GMlkMqSlpWH+/PkzkiRUUVGB\nxYsXEzk8z6O1tRWPPvoo1q5dG2KM63Q6/PM//zMef/xx9PT0oL6+HnfddRfmz5+PXbt2IScnB3Fx\ncRgaGsKhQ4fw9a9/Hd/85jeh0+mwadMm0qxK8DR3dnYGVegKrPUv1HEfy0RLqv/zP/8zbonO6XD+\n/PkZ3Z/RaAw6F7Vaje7ubpjNZlIRKBC5XB6S+6BWq1FTU0P6B/T398PtduOTTz5BU1MTPB4P+vr6\nSPji6Ogompubce7cOXz00UdgWRY1NTXQaDSIjY2F0+lEf38/HA7HjK2UBCKF6EyMNDaKD0ln4mK2\n6SsqDHwAeOGFF3D77beHfP7FF18gPz8fS5cuBeAPIZg3bx727Nkz6X3PhliqqwWhuoeks4tj+fLl\nSEhIIIbbxQ5UsbGxWLhwIfnb4XBApVJBLpcHfQ74Jxe33HILjEYjUlNTUV1djfj4eAD+Jl1nz55F\nVlYWMfAF77GAyWQipR5PnjyJ7du3o7q6GqdPnwbgT1j9+c9/Tox8q9UKo9EIjUYz6SZSPM8jLS2N\nNKqaLmfPngXgv76vvfbajOxTYKwXSSaTwWQyBcXqjyVcxRyz2UzyJVQqFam+JJfLodfrERMTQ/bH\ncRxOnDgBrVZLOt0KIUKAP6Ro165dGBgYgNvtnlI5zskgNCCbbJnWqxFpbBQfks7ExWzTV0QDf8uW\nLdi6dSv5z+PxBP0t/DddYmNjSRLZWMZWywCAnJycKcWBCi8NnufhdrvJS83r9RLvvtD0R9gmVJgQ\nfu92u4mBwTAMqVEtvJgE3G43kceyLNl2qWQH1uCeDbJ5nkdKSgpkMtmMyRa2Tfa8hW3RLjvQIAqU\nnZqaitHRUTidTpSUlJB/cxwHu90eJJtlWbJ/n89HdCAcs7D/xMREbNiwgcj2er1BxqYQPqJQKNDe\n3k5C6Hiex7XXXguVSgWTyYTW1laScBooW6/XY3BwEE1NTXj44Ydxww03kHOurKzEokWL0N3dDcBf\nxcZkMiE3Nxf19fXk2nm9Xlit1rDnNjAwgOTk5KDrNd55syxLvhe4rbOzk1zzbdu2wWKxwGw2w2Aw\noK+vDx6PB3/+859RWVkZtH+hYs1krnk42YHXXIDjOPL3ePt3uVyQy+VBRjPLsvD5fFAoFKBpGhzH\nged5KJVKqNXqINmBCBMFobxnR0cH2eZ2u2Gz2fDaa6/BarWSFY2xz/5E97nwnXD3uXC9Au9zQXa4\nZ2wqssONeTMp2+v1zohsjuOQkpIChUJx2WVfyfO+WNljx9uZlM2y7KRkCxWtBIPxcsqezHmHe89c\nrbI5jhv3GZuqTXMxsi/GjpzIIRLRwN+wYUPQf0888UTIZ4Ev/Uj87W9/Q1lZWch/119/fcTfOZ3O\nkIQHlUo1JQ+S8DLy+Xxk2RoAuru7yTZhaUZQRnt7e1CDHKGhD+BPNBQqdlit1qBQgrq6OuKN7O/v\nx4ULF8LK7unpCZEt3CQTyRbCDMbKrq+vJ7IHBgYmJdvj8YTI7unpCSv7woULU5bN8zxqampI4mck\n2R0dHeju7sbg4CDsdvu4soeHh0NkW63WcWUHnnd7e/u4sseet/AQTUV2c3NzWNlmszlEtvDQTiRb\nSKQZHh5GXV1dWNmDg4NEtk6nQ39/P5KTk7Fw4ULyvAglG1taWsCyLIaHhzEwMEBCLhiGQWdnJ7nm\nfX19JDHzuuuuI7IA/7Mj6NRms6Gnp4cc83333Ue+Z7VasX79egCAwWDA3r17SSje4OAgkb1kyRL8\n6U9/wrx580BRFPr6+jBv3jwcPXoUdrsd2dnZqK6uBgCcOnUKJpMJRUVFOHXqFKnwU1NTg7/+9a+k\niZXVaiXXrr6+HkqlEj6fD62trTh58iSR7fF40NnZSY6/t7eX3MtOpxPd3d1obm5GZWUlduzYgZGR\nESQlJeH48eNoaGjAjTfeiNOnT+PQoUPIzc1FX18fkc1xHFiWRWdnJxlbAs97ItlCMy7Af/8K99PI\nyEhQuE5nZycZE4eHh9Hf30+89WNlu1wucByHwcFBDA4OEtl9fX0TyqZpGgzD4O9//zuOHz8OAPjg\ngw/Q1NQEuVyOHTt2YOfOnbBYLPB6vaipqSFGTFdXF9mn0+lETU0NeUHZbDbyArTb7UGJ1w0NDeR6\nWSyWIOdOTU0NyQno7e1Fa2srAESU7XK5UFNTQ16uLS0t6OvrA4AQ2Y2NjUGyGxsbw8ru6+sLkS3o\no7Ozc9Kya2pqwsoeGhpCY2MjBgcHwXEcampqYLfbQ2QLoVWBsjs7O8PKbm1tnZLswPMOlC3EAY+V\n3dXVFSJbuA8DZY+MjITIFkJwx8qura2dtGzhmrvd7hDZwpgxVnZTU1OQ7IaGhgllC/oQVhMDZQvj\nuXAfTla21WoNkS2MxRPJFq752PNua2ubEdnC+3Ws7O7u7hDZwvs1ULbD4QiRHWhPBcquq6ubsuyx\n9lRbWxsZK8fKDrTlhoaGUF9fT56xQNn9/f3kmoezI6creyI7cjzZE4VLUnxgcGsAtbW1KCoqivjj\nmaarqwsbNmwISrJ99tlnMTo6il/84hfkez/+8Y8RExODp556alL7++STT1BQUACe58EwDKk24fV6\nifdK8JYJ2zweDyiKIl4ur9cLlUoFiqLAMAzxVgovcGES4na7SeKa4HVRqVSXTLbX6yXJerNBtlCm\nKj8/n9Q0n65sYdtkz1vYFu2yGYaBQqEIK3vbtm3YsGEDkpKS0NnZSUoi9vX1wWw2g6ZpFBQUoKmp\nCTRNk/APlmVB0zQoioLX6yXhNMI2oSKV1+slsd9utxtmsxnp6elQKBTwer1QKBSQyWTEmFAoFOB5\nHk6nExqNJmTbeLK3bdsGiqJw5513Yvv27bjzzjvx3nvv4b777oNMJsPRo0fB8zxWrVqFTz/9FN3d\n3cjPz0dTUxMeeeQRAP4XyPnz53HLLbfg448/BsMwkMlkKCsrw8DAAMrLy9HV1QWn04n58+eDZVly\n7VUqFTiOwyeffIJbb72VhPgoFAr09fXBaDSivLwcH3/8MTweDx5++GEcO3YMc+bMQUZGBp577jnc\nf//9SEhIwF/+8hfExsZi06ZNMBqNQec9ODiI9vZ2LF++HBRF4ezZs1i0aFHINRf0wXEcfD4fXnvt\nNTz66KNkm0KhCLnmY/Wxfft23HzzzRgeHkZVVRVuv/12UBRFzns8fY+VzXEc7rjjDrz66qvIysqC\n2+3G0NAQYmJiQNM0br/99qBnP9J9fuedd0KhUOCGG27AN77xjZD7XHgGAu/zsc9f4DM2dtyJJDvc\nmDeTsgUDa7qyXS4XWlpaMH/+fNI9+nLJvpLnfbGyx463MylbWAmbSLbL5UJDQwPmz58PtVp9WWVP\n5rzDvWeuVtkcx2F0dBStra0hz9hUbZqLkX0xduR7772Hn/70p6isrER6enqIDTxuSYnHH38cDMNg\nxYoVWLlyJVauXHlR9aqny7x58/Dhhx8GfXbhwgXcc889k96HEJ8qdLoUCCx/J5PJgrYFltYc2z0z\ncEVh7LbAfSgUClK1Q5I9OdlKpTIkxvtyn/fYbdEqO3DbWNmrVq0ipSwzMjKQkZGBwcFByOVy2Gw2\nKJVKLF26FD09PXA6nZDJZHC5XEGx3GOPOfA4A7ep1eqgMLrA7wVWrRkaGiKx+WO3jbf/u+++G8PD\nw1AqlaBpGocOHcLq1atJUml5eTnef/999Pf3Y3R0FGVlZdi5cyeuueYanDx5EmVlZaiqqsKDDz5I\n6tEbDAY4nU4cOXIENE2jvLwchw4dgk6nw/Hjx/GNb3wDra2t2LlzJ+bPn49169YRY3/jxo3405/+\nhGuvvRYDAwNwOBzEyE9KSoJCocDSpUvx9ttvY+HChVi1ahWqq6uRkJCAa6+9FmlpaThw4AA2b95M\nzpumaezcuRMmkwkOhwMKhQKvvvoq/vCHP4x7zeVyOYaGhnDmzBnyAnjllVfwxBNPBF1XofNx4DUX\nDPUtW7bg+PHjJM5+MvoQZAsGVldXF2JiYtDd3Y34+HjimBHCwoT7qbGxEQkJCWT72Puc53loNBry\n0gP8ycslJSVh73ObzQaFQkH2L7wgnU4n4uPjQ56/cM+Yz+cLuT6TfcYAjPt8X4rxVqFQwGAwhB0b\nL4fsK3ne0Sh77DM2nmyNRoNFixZdEdlX8rzFKFsulyMmJibsMxat9tREuQLjhugcOHAA77zzDlau\nXInjx4/j3nvvxerVq/HDH/4Q77//PlmSuNRUVFSgubkZR48eBQAcOnQIHR0dE4b2SEhczWRlZYV8\nFh8fj9LSUmi1WhiNRtA0jY0bN5K4wY0bN0Zd9QCappGYmAgAWLNmDRwOB3Jycoi3BQBuvPFGHDt2\nDDzPY/HixXjiiSewbt06qNVq/PGPf0RGRgYxYouKirB8+XIsW7YMFRUVKC4uxpkzZ0DTNG677TYk\nJCTgq6++wr59+/D4449Do9Hg97//fVBlom9961skZ0gwEgsKCmAymQD4X+q33norPv30U6xZswZm\nsxk1NTUoKiqC0WiEzWYDz/OwWCz49a9/jb179yI/Px/Lly/HuXPn0NDQgGXLlqGtrS3kevh8PrIs\nffLkSVRUVGBoaAjV1dVkv4HfHU+fKpUKcXFxEavWNDY24ty5c+NupygKbW1tUKvVIUkJsNIHAAAg\nAElEQVS+KpUKe/fuxa5duwD4jfUzZ84Efcdms2FoaAgMw8Dn80Gr1ZJQhqqqKpw6dSqkapDFYoHV\nasXBgwdJorOwr8rKSvz9738f93gD4XkeX3zxxaS+KyEhIRGNrFy5MuL2iEWh586di7lz5+K+++4D\nz/Ooq6vD0aNHsWvXLvz3f/83TCYTysrKgsJnLobPP/8cv/vd78jS8j333AOZTIZf/epXKC0txfPP\nP49f/vKXcDqd0Ov1+OMf/0jqMk+GaDNaJMbH7Xajrq4OhYWFl7QG+dWIEH6RkpJCvA5CnLbweVJS\nEok7nAghCVcmk6G7uxtpaWnjNpXzeDxISUkh4TEXQ0pKCvF8ezwe4tXQ6/Voa2tDcXExAH/SPuCv\nz6/RaIKM87HJ/CkpKXj66afx0EMPAQDWrl2L6upqPPjgg5DJZCgvL0dMTEzQCsVkjj85ORlPP/00\nKIoiISfCJKOwsBD19fWoq6vDY489hmeffRZPP/009Ho9Dhw4AIVCgbvuugvvvfce9Ho9jEYjtm3b\nhgcffBBvvfUWPB4PCbFZsGABBgYG0NraivLycpjNZsyZMweAf6Vzx44d+Ld/+7ewx1xXVwev1ztu\nN+GTJ08CAPLy8oI68QoolUr09PRAp9OFPKtyuRwMw8Bms6G5uRkOhwM8z6OyspKsxgh9EzweD0lG\nFJprtbW1QafToaOjA6mpqWS/bW1taGpqgs/ng8vlgtvtBsMwsFqt6O3tJd594R4YD5vNho6ODtJb\nRQxIY6P4kHQmLmabviIa+GazmQyuFEWhqKgIRUVFeOSRR8CyLM6cOYNjx45N+yA2bdqETZs2jbu9\nvLwcH3300UXv/1J0opS4NNA0TTqzSlwaVq5cSTy3FEVBp9MR4zM3NxfHjh2bVCc/hUKBG2+8EZWV\nlYiNjQ1pIiV4t4WY+sLCQhw7dgxarZZ8JzAOcSr4fD5kZmair68PMpkMK1aswJIlS0K+V1BQEHE/\ncrkcN910E+kKbDAYcM011wR9R5g4jGWixlrCPTx22Xnx4sV47bXXSKnKp556iuxLrVbD7XZDp9Ph\n/vvvx/bt29HT0wOlUgmLxQKlUoktW7Zgz549oCgKiYmJJCl0xYoVePfdd7FmzRoUFBTAYrEgNTUV\nfX19UKlUiI2NDeqYm5eXh6GhIfz973/HQw89FHQ+H3zwAeRyOdatW4dDhw6hoqIi7LUbG9bldDqD\n9KtWq3HkyBGoVCo4nU64XC5ybwkTTuH6mEwmDA4Oora2lhjdY7syC4lnSqUSTqcTtbW1JHzKaDTC\n5/PhyJEjuPHGG8PqRHBUcRwHrVaL3t7eoMmbEBYUjUhjo/iQdCYuZpu+Jqyi8+1vfxv79u0LWvoF\n/tFJ83vf+94lPcCZ4GI9hhKXn9lWhzZaCXwmNBoNMagyMzPB8zwJfwH8RlG4clxxcXEwGo246aab\nSOJsIGq1mlS1kMlkSE9PD6nxTtM0cnNzQ8aXiaAoChkZGWR1buXKleOuHkxEYEz/VEhPT0d+fv6U\nfyeXy1FeXo5rr70WAIK8zevWrcO6desA+I3Ye++9Fz/84Q9x77334ssvvySTgt7eXmzYsAHx8fGw\nWCxkonbbbbfh6NGj8Pl8sFgsWL58OVpbW7F9+3YyjgtJYAkJCfjOd76D22+/nfQcAPy5Ei0tLSgq\nKkJKSkrEduhjvd9//vOfg8p5Av9YJdJoNFCr1WTSFygvNjaWhAwFes7Gds212+1kskTTNGpra9Hf\n3x90nw0MDAStQgWGITkcDnz11Vfo7e2FWq0mEwbAX63i0KFDQfd+NCGNjeJD0pm4EJu+JmqyGPGt\n9sorr5AOlddeey2ef/75sJ0Uox2peYp4YFkWPT09JFxL4tKTmppKPBY0TYOmaWRnZ8Pr9YJhGKxc\nuTIkJM7n8yEhIYH8ZnR0FKOjoySGmuM45ObmIiYmBoDfY6zVakM8IzqdjlRgmQoymYwkEV8pFi5c\nOG7/jokoLi5GSkpKyOcJCQkh1RAoikJCQgIaGhrItu9+97tITEyEQqEg5SsBf7+C5cuX4/XXX4fd\nbkdBQQGqqqqQkZEBnufxyiuvYP78+QD8pS8pikJaWhop0wr4y7dt3boVCxYsAODvrNvR0YGamhp8\n+OGHQeUzA5NchdKHU83PGhoagslkIvdYoPE/OjqKI0eO4PTp0xgaGgry6NM0DZfLBZvNFtTZXK1W\nk3J6IyMjOHDgANnW1dVFqklRFBVkzLe1tZHJUzQijY3iQ9KZuBCbvsaucI4looF/zTXX4De/+Q0O\nHTqERx99FPv27cP1118/rlc/WpEMfPHAcRypiS1xeSgsLAyKU1+1ahXKysrg9Xqh0WiQkZFBwip4\nnofD4YDT6URGRgaAfzxfKpWKeMIZhkFSUhLi4+Ph8/mg1+sBhHp8tVotMVTHEqnXBUVR0Ov1U1pK\ndblcQY2jpoPH45l0F92ZYsWKFUF6EpDL5UhOTiZ/FxcXo6SkBK2traTz8A033ICKigo88MADWLp0\nKammJBjTFEXB6XTinXfewYkTJ4LkrFixAn/4wx9w8OBBzJ8/H4cOHQo5hp07d2LPnj1ITU1Fa2sr\nPv3000lP2gQPfkxMTMiLVajjb7VaUVNTE3L/mEwmaDSaIMeTTCYjE5b6+nr09fWRe9RisQTlDATe\nY0II1MDAAHw+H7xeL/r6+mCxWMKe8+VGGhvFh6QzcTHb9DWpdemYmBjcf//9+OCDD7B9+3akp6fj\nqaeeIl79aOdil+4lLj8qlQqFhYWTigGXmBlomg5KsszIyIBarYZSqSQ5OIH1eTdt2gSPx0M8riqV\nCmvWrEFSUhKMRiOZ+MfExJAsf8HAFyqleDweMAwDrVYLmUxGyicGElgFZmyoRmCS8GRRKBQoLCyc\nkmNivAR9obPr5eT6668Pe51WrVpFcggEiouLyUtq/fr1ZMlZo9GQcqGFhYXEYNZoNHj33Xexbt06\n3HfffUHnlpiYiK1bt+Lxxx9HYWEhfD5fSE6Uw+EATdOYN28eGhoa0NnZiYMHD07qvITyqTExMSET\nMKHPw8jICGkKMxaKooLKrwL+JNqzZ8+itbUVPM+T6jpjG8MIkxCr1Ur239fXh/379+Ozzz7DkSNH\ncPDgQbS3t5OqRjzPk8ZSlxNpbBQfks7ExWzT15QDTwsLC/H000/j5ZdfRkpKCl588cVLcVwzilhW\nGiT+Ee8t6ezKo1AoSEiIMOAlJycjJSUFc+fOJd56nucxf/58lJeXY82aNaRBiFqtBk3TSE9PJ6Ec\nGo0GPM/j9ttvR3l5OSnnmZSUFNJ+Ozs7mzQBGVvOUZi0jy3POB5utxsxMTEwmUzweDzk/opUJtLj\n8Yy7VKtQKIhROTIyEtSOXPjtWHievyT3dW5ubpAHH/Bfl3vvvXfc3wgNqwTDf8mSJVi7di3S0tLC\nVigLTDwuLS0Fx3FobGxEa2srampqoFAokJOTg9TUVDz00EP45je/SWL3x7ZhH4vQ/Eyn0417vR0O\nR8gkLxIqlYrEpyoUCjgcDni9XtKJVGBkZAQ+nw91dXVBib3d3d1wu91kMqpSqXD48GHs2rULTU1N\n2LNnT1Bn58uBNDaKD0ln4mK26WtKBv7Q0BBef/113Hrrrbj33nuRmpqKV1999VId24wxU8vyEpce\nhmFw5swZqbRpFGA0GokHX6fTwev1EkNy/fr15HuCziiKgsFgIN5Ygby8PPK7uLg4Yvzn5uaSOPTi\n4mJibAtLpEajEYmJiWAYBnl5eUGD7lQ9+GlpacQDbrfbSWiG3W4PMc4FOI5DSUkJ+ZzjOLjdbtLM\nRDCEAw1ThmGwYcOGcUOOZvq+FrojhiNSY0Kfz4czZ86Qa56RkTHpfIKSkhJs2bIFZ86cwcGDB7Fv\n3z5kZWVhzZo1WLBgAbRaLTQaDYxGI4aHh3H69Gm8/PLLYV+avb29JNFVq9WOuzQuk8mm7FULDBkT\nOmSPTfJmWRZWqzUo3EqlUpHJKU3TZB8qlQrDw8M4evQoYmNjQ7z4Pp8PO3bswIkTJ2C1Widdbnay\nSGOj+JB0Ji5mm74mNPB5nseXX36J73//+1i3bh3effddbN68Gfv378fvfvc7lJeXX47jnBZSiI54\nUCqVyM/Pl3QWBaxatYoYqrGxsbDb7cjOzgYQXIVnrM4SEhJILXbA750XVgLmz58f1pBUKpXIysqC\nx+PBkiVLMDw8jKSkJGRkZEAmk6GwsDDIgysY+Hq9PqxRODw8TAxKr9eL1NRUkuhLURSysrLAMAwW\nLVpEDGS32w2Hw0H2ZzKZUFBQAIZhwHEc4uPjsX79emzatAk0TUOr1cLn85H4ccDvLTYajcjOzg45\nLo1GExJKMh4Mw0zKMSGTyS4qIUyj0SA/P3/CWs+jo6NhDXNhBUCpVOK+++7DggULIJPJggzolStX\nYt++fWhqasKiRYuCknNra2vx1ltv4ejRo3j44Ychk8mg1+vJuYyMjARdP6VSGbGyxUQxsxRF4dy5\nc2SSILSX12g0aG9vn3TlHJlMBp1OB5lMht7eXhw6dAherxderxenTp2C2+1GS0sLPvnkEzIBOHfu\nXNhJmMfjGXdyFg7hOTt//vys8TDOdqT3mbiYbfqKaOA/99xzWLduHb73ve9BLpfjT3/6E7744gs8\n+uijYWNBo5WxXhuJ6EUmk8FgMEilTaOAQO+4Xq8P8cwLjNVZfn7+uLXjZTIZli5dGnZbTk4OMbqv\nvfZaJCcnIy8vD/fccw+SkpKwdOlSsCwLnudJzfakpKQgb4vFYiEVfIT4aq/XSxKCFQoF4uLiUFJS\nAqfTieLiYlAUBYZhsHr1alx77bXEK75u3TrodDrQNA2GYVBeXo60tDRotVps2LABer0eXq+XdAYG\n/BMhiqKwZMmSECPMZDJh6dKloCgqbGhQYFKqkLMwEXPmzCGTsHBGbrhJAsdx0Gg0MBgMEfMIGIZB\naWnpuMnOo6OjSE5OhslkIhOFwE678fHxmDNnDvLz81FSUoLjx4+jo6MDLMuiqqoK999/P7Zu3UqO\nQafTgeM4nDt3Djt27CBdcANxuVxoamrC7t27gz5/4YUXIhrLarU6KDznzTffRFVVFSiKgtlsvqjS\nmBaLBR0dHWhvb0d7eztqa2uhUqkgl8uh0+ngdrvh9Xpx+PDhoGoXhw8fhtPpRFNTE+nQPhEMw5AV\nsubm5svWSX46jA2HuhqR3mfiQmz6mqiSXMSz2LVrFx544AEcOHBANN76cIil5JGE3xhra2ubkmdL\n4tKj1+txxx13hJ0sj9WZRqO5KA9IUlISrrnmGigUChQUFBCPsGDA5uXlkeTc0tJSACANtoTvzJ07\nFyzLoqysjEwCBG+7wKJFixAfH4/i4mJyrD6fD9nZ2cjOzkZZWRluuukmGAyGoGo9gfvQ6XTE4ywY\n+F6vF2lpaQD+MZEQEMKMkpKScMsttwRNSoRkYmH/HMchMzMzaPB2uVxhxzGNRkO80qOjoyFLy0KM\neSAcx4GmabS1tUX0BPt8PhQXF4ed1AFAVlZWUJMowD+hEGJYHQ4HysrKsGzZMsTFxaGnpweff/45\nXn/99ZBGVDRNQ6VSEUP5G9/4BgYHB4OOz+l04mc/+xkOHDiA0dFROBwO7NixAzzPw2azRawJTVEU\nmYTZ7XbEx8ejubkZgD/0lGVZ+Hy+KRnOwr0zODiIvr6+kHwQt9sNm80GpVKJvr4+dHR0wG63o6Gh\nAR0dHbBarejs7ATHceA4DhaLBa2trWHHvqqqKlgsFrS0tIBhGHR2dmL//v1wOp0YGhqKytKezc3N\nV/1Kg/Q+Exdi01dubm7E7RHbR37xxRczejBXiqt9kBETPM8TL61EdDHeSthM6Uwmk0VsHKXT6aBS\nqRAfH0+MKbVajbvvvhsjIyP45JNPUFxcjOuvvx6Av4rP0NAQ9Hp90LELMlatWgXAv1IRGAIyNnZd\nMHDHnr9arQbLsjAajYiJiUFVVRUKCwvJ9oSEBPT39yM9PR1JSUkkvEkIFRISuoQY/hUrVmDv3r3g\neR4FBQXo7u4mJRs3b96MXbt2wel0Ei+x1+tFbGws6RKblZWF7u7uoGNMS0vD0NBQ0OSE4zio1Wow\nDBOxg7BwXeLj49HX1xey/frrrw+5JhzHQaVSEY9zIP/0T/8El8sVNtxGOKeGhgY8/vjjpJFZT08P\nkpOToVAocPDgQTz66KMA/PfCBx98gK6uLpw/fx75+fmor68Hy7JYvnz5uOcEAA0NDSguLsapU6dI\nmA4AnD59Gnv37sWTTz4Z8fdjCczjCMTtdsNsNkOn06G1tZV0zdXr9RgcHITdbgfP86isrCQGukwm\nQ2ZmJtauXQvgH9WarFYrurq6yLMm5JF89dVXGB0dBcdx43bvvVII12W2hDtcDNL7TFzMNn1Nqj/8\n8uXLI4a5VFVVzdgBXQpmS9vhqwGlUhlS8k8iurmcOrvuuutCki0VCgVMJhPS0tKCYv/j4uIwODg4\nYbhLuPKMgRQXFwd1ehVQKpXwer2Ii4tDTEwM1qxZE3RshYWFUCgUZLVhrMzh4WGkp6cjOzsbbW1t\nSElJQWJiInw+H7RaLbKzs1FVVYWEhATExsYiIyMDTU1NWLVqFfbv3w+O4xAXFwelUonh4WHk5uZi\nYGAgSI7RaATDMOB5Hj6fDzKZDDzPIyEhARqNBi6XC52dnSFjpMfjweLFiwFg3Dj9cO8EIYzEarUi\nNTU1JExjbB17AWEC8oMf/IAcS1FREX7/+98jOTkZjz32GAYHB7Fx40bym4KCAmzevBlvvvkmioqK\nsGHDBrz//vvQ6/VBE61Adu/ejQsXLuCRRx5BW1sbLBYLadhWV1eHxYsXw2w2k+TyydDf3w+ZTBZi\nyAoefLlcjo6ODsTFxaGrqwtqtZoY62q1mkwCBIRr1train379mHLli2w2+3o7e2F2+2GTqeD3W6H\nx+OB1WollX4E/QL+1Y6DBw/ihhtuuGIhqg6HAwzDXNUGvvQ+Exdi09dEoYWTMvD/3//7f0F/cxyH\njo4O7N27F9/61rcu/uguE7NlNnY1IIQrBFbAkIhuLqfOEhMTx9123XXXBcnPzs7GV199haKiooj7\nzMzMjBiakZCQgHXr1oV8Hhg7LpfLSYdYAY1GE9a4B0BCVhYsWACDwYDk5GTIZLIgA5amacTFxZHQ\nkri4OMjlcqSnp0OlUsHlckGn00GpVIJlWcTFxUGv1wfF8iuVSsTExMBqtcLlckGlUkGpVJLfFxYW\nkhrwLMuS60dRFDGSDQYDWJaN6O0H/NWPaJpGTEwMbDYbsrKycPr06Uk5WATDX8iNAPy6XrVqFUpK\nSvDhhx8SQ1ygrKwMgH+CJ1Rpuuuuu/DOO+8gLS0NVqsVx48fx1133QWKosDzPDo6OuB0OkHTNDIy\nMtDZ2YmEhATwPA+5XI6VK1fiiy++wJYtWyZ9L483AXK73aS2vtB/QPhu4LUcG9ojxOufPn0aer0e\nu3fvhkKhQG9vL5RKJRQKBdHx8PAwMex7enpIMvvAwABpEHal8uVYloXb7Sahclcj0vtMXIhNX+fO\nnYu4fVJnsHXr1qD/7rzzTvzgBz/AL3/5S9JAJJqRymSKB4/Hg9raWklnIiJadDZ2QDYajdDr9RHD\nfgC/gT/RJCBciUbBYLsYD+WiRYtQVFSEmJiYoDyDsSQmJpJViZSUFFAUBYqikJaWBoVCQYx14ViK\niopIHL7gIY6JiYHb7cbNN98MiqLIikVtbS1YlsXatWtRVlYWFL8fGNITFxcHj8eDkZGRiDpOSEgA\n9//Ze/PgNs77/v+9iz0AEMRJEjzFm6J4iJIlWbJOS7Ksy1KsOHZkN5eTppNOMm0ybadJmkmnneQ7\nzeSfdNqmiePESnPY8n3KkSXFsqxblkRZJkWZEu/7AkAAxA38/uBvnwAkSILUhQd4XjMeC1hgP8/u\nm8/is89+jlAIWq0WsiwjNzc34VhWxfGNDt3hOA67d+9GcXExdDodCb2ayo4dO0g/BQDYvXs33n//\nfZw/fx5Wq5U0qHrhhRdw//334zvf+Q4AoLCwkNzYjYyMIDs7m4SB/d///V9C456N6EZt82nI5vf7\nMTY2BrfbDZ7n4fF4iNbd3d0k70Or1ZL31Wo1bt68SfYxMjICg8EQ857y/t2C47h59S5IRZLl2shI\njFTT65ZuUZYsWYILFy7crrHcMdL5ESFtSJKEuro6phlFJLNme/funXNcKpVq2upwosxVxWA2m3PF\nigOTTaUUB1+n05EnGEuXLiVFDzQaDVQqFWRZRllZGQwGA/x+PxwOB3Q6HaxWK8LhMCwWC+677z5Y\nrdZpmhkMhphk3OhVZSXEqaSkhFSj8Xq9MTcEPp8P9fX1kCQJRUVF0Gg00Ol0Ca2CKbkEynmJx549\ne2bcVlpaGrNKrOzL4/Hg/vvvx8svv4ympibodDrU19eTkJWMjAxMTEwgFArhtddeI08sdu/ejczM\nTLS0tMTYuXr16qyPxKc2yJmrtOdMqFQqHD9+PKYULDC56r9o0aKYm8HoBPP+/n7SxM3tdoPjOLS3\nt2N0dBTAX0pe3y04joupHpSOJPO1kTGdVNMroRCdqRc6YPLx4+HDh2EymW77oG43rEwmPSykoQ3j\n3pLMmt3pcSnlN+8U0T80PM9j5cqVACadPsXxKywsxJUrV8jn6urqMDAwgMHBQej1emRlZeHzn/88\nOI6L6UEQfW60Wi1J3OV5PmbFWQkvMRgMEEURRqMRo6OjMVV9IpEIFi1ahP7+fuTm5mLXrl0xfxcu\nlytuLkQ4HIYkSaQaz+16LP6Zz3yG/Pub3/wmfvSjH+GrX/1q3M/29vairq4uJn9jy5YteOutt6DT\n6XDs2DHk5uait7cXFy5cgEajQXl5Oe6///6Y/bz55pvgOA6PPvroLY1dlmVS6SganudnPT88z+Pt\nt99GMBiEz+cjur3xxhvYtm0bJEmalhNx7tw5Eup0u4l+gpGuJPO1kTGdVNMrIQf/0UcfJTGM0ej1\nevz7v//7HRnY7YSWkkeMyUdknZ2dKC4uTpm76FQnnTWrq6u7q/aUePxozGZzzAq2Uu6zpaWFOOpT\nk1unahb9w1ZcXEw6DAMgzn1eXh5xMo1GI44ePYqxsTGEQiGYTCYIgkB6HCiOqJIQumjRIvT29saM\nw+12Q6/X45FHHiHO7EJWvOdCq9Vi375900p6ApNhRRcuXMCaNWti3jeZTHjiiSfwzDPPkO/l5uai\noaEBdrsdjY2NmJiYQFNTE775zW/C7XbD4/FAo9HA6XTi448/xrp16xY85niLUsFgEMPDw8jOzo4b\n0sXzPInHV86zEpLV2NgIrVYLURTh9/shSRJ8Ph8uX76MZcuWzejU3LhxAwUFBTMmR8+G0gAsnUnn\nayONpJpeCTn4x44dm/aeLMswm81UJCKwFXx64DiOxBQz6CCdNUuGY+Y4bpqDCmBa0u/U70zVTKPR\nQKPRTFuZBoCdO3dCpVLFXO8tFgtGRkawe/duEkM/NeG0uroa7e3t2LhxI1ldBiad1SVLlqC+vj5m\npfpOOPgAZgyHWrVqFb73ve/FXXVXq9X4m7/5GwiCAJVKhXA4DJVKRXodnDlzhiTovvrqq3j00Ufh\ndrtx8OBBNDY24v777581wfiZZ57B/v37Z+wzEI+5Ep1nwul0koRct9sNSZLQ3NyMjIwM9PX1xb35\nASYd/L6+PlK2cz4Eg8EZm6SlC+l8baSRVNMroauFckGjlYVeFBl3H1EUsWjRons9DMY8YJrde+ZT\n1hGIr1l1dTWpYBPv81Opra1FT08PLBbLjHbKyspIM5asrCxS793v96Ourm7ayrByAxGJRO7oj6zf\n74cgCDAYDHj88cdnvLGIvmGJ/kxtbS2qq6tx9OhRDA8Pk87AmZmZ2LVrF8rLyzE0NISsrCw0Nzcj\nNzcXhw8fhkajwb59+6BSqSBJEo4cOYLHHnssoTELgjBrFanZUFYjA4EARkdHYTQa0dHRAY1Gg5aW\nFpSUlMScb4fDQUq5zrQKr1QbiYfS40GJ/09X2LWRLlJNr+Rffr8NxGsLz0hOQqEQxsfHEQqF7vVQ\nGAnCNKOPeJpVVFTMWNYzHhkZGdixY0fCny8tLUU4HEY4HIbRaIxbWUalUsHv95OKPDMxdWXY7/fH\nlAdNZOxGoxHBYBCbN28m78+npLJKpUJ+fj6OHTsWU3c/Pz8fixYtQl9fH958801cvHgRf/7zn/HF\nL34R69evx/HjxzEwMIDy8vJ5xaiHw2G4XK5bcppFUYTD4UBLSws5h8PDw9P6J1y4cIEk7c6UWPyn\nP/1pRjtKsyCv14uxsbEFj5d22LWRLmjTq76+ftbtaeHgp3scIE0EAgG0trYyzSiCaUYft0uz+ZR/\nLCgowLZt2+B0OmPq/UfDcRxEUcSmTZuwZMkSBINBUmpRWRV2Op0oKCiA3+8ncd6J1OmPRq/XY/Pm\nzdOOPxwOz+vJQX5+Pjo6OqaFQ+Xm5qK/vx+BQAAWiwU8z5PwnuHhYXR1dWHRokWwWCzo7e1FT08P\nRkdHcfbs2Rkd+GAwiA8++ADPPvtsTN+G+S5guVwudHZ2klV9tVqNgYEB9Pf3AwCamprgcrlw/vx5\nqNVqcvNks9nQ3t4OYLK51+Dg4IyOUCAQIF2Cp5bqTCfYtZEuaNNrag+NqaSFg58KyRLpgizLWL58\neUplsqc6TDP6uFeamUwm7N27d0a7PM+jsrISPM+juroawWAQBQUF8Hq9GB8fx8MPP4y6ujo8+OCD\nCIfDqK2tRVVVFVQqVdwwpamlPJUf7oyMDNKUKxqr1YrFixfHVAiaDYvFgu9+97vTQnwyMjIwMDCA\nsrIy1NfXxyRjW61WnDt3Dvn5+XjooYfwpz/9CYcPH8aJEyfgcDhw8eJF9Pf34+c//zmamprg9Xpx\n9OhRiKIIl8uFb33rW3jppZfQ1NQEAPjFL36Bnp6ehMYLTCY3R9en53keo6OjeEFu+jYAACAASURB\nVOutt9DW1oaPPvoIgUAA/f394HkeHMfBbrfj1KlT6OzsBAB0dHSQkqkKH330Ea5fvw5g8iaio6MD\nHMfd1dr7yQa7NtJFqumVFsHpqZIwkQ4ojXwY9MA0o497qdlsceTFxcWk9LIkSSgsLERdXR0sFgsp\ny6wkzGZnZ6O6uhper5fEkff09MT8ODudTvKa4zgEg0FSFQiYrEA0ODgIYHKF3Gq1ory8HB9//HHC\nxzPTefz6178ed/vq1atRWlpK8hr27duHnp4eEh71xz/+ESdPnsRf//Vf48UXX0Rrayv6+vqwdetW\nBINBZGRk4Nvf/jZeeOEFCIIAvV6PlpYW0sV2LhwOBwKBQMzTl87OTuh0Opw9exaBQABer5d0wFWr\n1fj4449hs9lICU673Q5ZltHX10eam7W0tCA7OxuLFy9Ge3s7zpw5g5qaGthstoTPZarBro10QZte\nbW1ts25PixX8VOlKlg74fD40NTWlff1kmmCa0Ueyaja1BOSGDRuQlZUFjuOmxfsrtd31ej0qKytR\nVFSEcDgMj8cDn8+HcDiM4uJiEptvMBig0+mIIw9MJv4qq/U+nw9FRUWQJAlLly5NeBV/JmZyFjIz\nM1FeXk5em83mmNyHvLw82O12SJIEq9UKjuNQXl6ON954A9nZ2aRXwe7du/HMM8/gc5/7XEwMvd/v\nx8cff4xLly7FHZff7582rkgkQkpnZmZmQhRF8lSC4zgMDAxAlmW43W688MILGBoagkqlws2bN3Ho\n0CG8/vrrkGUZDocDwGRvAeXfoVCImpCH202yzjNGfGjTa2hoaNbtabGCf6dKrzFuPyqVChaLhWlG\nEUwz+qBFs9nGF12yUynt+dhjj0EURdy4cQNnzpzBgw8+iKNHjwKYdPAbGhpiegYUFhbi/PnzEAQB\nkiSRmNbS0lJcunRpWlx/KBS64+ds8+bNpEvxli1bAEyG1bS0tKCqqooct8FgwL/8y79ArVYjEokg\nEokgEAjgwIEDeOCBB9DV1YWcnByysu/xeBAOh+PG7SrnJPrcRKOs9suyDFmWSTLyxMQEZFkm58Tj\n8cDr9WJ4eBh2ux3AXxpeiaJIciVOnTqF1atXQxCEO14x6V5CyzxjTJJqejEHn5FUCIIQ02SHkfww\nzegjVTVTHNHKykoMDw/DYrHAbDZjdHQUVVVV0xxYnU5HVqYzMzOJo5mRkTGtpn8oFILL5YJeryef\nU54OS5JEwle0Wu0tO6yKbeW3S6/Xx+1PoITRlJWVoa2tDTabDZs2bcLixYtRU1OD5557Djt37oTF\nYsHJkycRCASwa9euWxob8Jewo6k3QJIk4aOPPsLw8DAJQeI4DhMTE1Cr1XjzzTexdetW3Lhxg3w3\nHA6TG5pUI1XnWaqSanqlRYgOK5NJD6FQCCMjI9SUqWIwzWgk1TUTBAEbN24klWuWLl2KnJycaZ/j\nOA4mkwmFhYXTHGir1Rpzfnw+H7Zs2ULCf4BJBzs6lGffvn13rLlTOBzG+Ph43N+zhoYGHDt2DKdP\nn0ZlZSWAyZuDp556Cs3NzfjjH/+I1tZWsqp+pxAEAV1dXejr60NmZiYikQhEUYTT6URzczPGx8dx\n6tQpaLVa9Pb24ubNmyldRjPV51mqkWp6pYWDf6uxlIy7RzAYRG9vL9OMIphm9JFOmtXX189aL7qo\nqAjZ2dnTklTXr19P/u3z+RCJRJCfn49Vq1YhLy8PDocDq1atgiiKiEQiKCwshF6vh0ajIYmq0Xi9\n3piKbsFgcF6x6aFQCGNjY3GdD41Gg6effhp/+7d/GxO6pNVqsW3bNnz5y1/G7t27wfP8vJyXmRqf\nzYYSy5+bmwuXywVBEOB0OjE4OAiNRoORkRFwHAePxwOO4+BwOHDo0CE4nU6cPXt21r9J2hbr0mme\npQKppldaOPisTCY9yLKMhoaGlClTlQ4wzeiDafYXqqqqptWxByZXwK1WKwKBAMrLyxEMBiHLMhYv\nXowNGzZg/fr1sFgs0Gg08Hg85CbCYDAgHA5P69JrsViwbNky4vgrDb0Sba4liiJKSkridhVWts+0\nTaVSobi4GAUFBRgYGIDH48Hzzz+Pixcv4uTJk3G/09fXh2effTahsU3F7XajvLwcvb294DgOfr8f\nY2NjUKlUMfH8yngdDgfOnz+Pzs5OtLS0AAB52mCz2UgZ0LNnz96xJyR3AjbP6CLV9EoLB5/BYDAY\njHgoCbbxqKmpgdvtxsqVK7Fy5cqYbYsXLwYwuXpuNptJ6U29Xg+z2YysrCzy2XA4DKvVisLCQrLC\nLstyjMN/NygtLUVLSwv+8Ic/YNeuXTh16hTefPPNuDcZ58+fn1cjs2jC4TCWLVtGKvm0t7fPuCoq\nSRJEUUR/fz98Ph+6uroQiUTw6quvYmhoiDj+wGR1nr6+PgCTlX+U5lwMRjqi0+lm3Z4WDj4tJY8Y\nk4+xL1++fFd/9Bi3BtOMPphmiZGTk4OHHnoIgiCgoaEh7mdkWY4JAbr//vuxY8cOFBYWwu/3IxQK\nwev1kgZeyo1AZmYmsrKyZlx1n4rf70d7e/stlX3Oy8vD22+/jX379sFgMOCxxx7Dww8/THoBKEQi\nEbhcLpSWls5Zim8mRFEEx3GIRCKk2s5sSJIEtVqN0dFRjIyMQBAEXL9+HSMjI7Db7RgYGIDf7yfj\n8fl8uHr16oLGdrdg84wuaNMruoFePNLCwU/0Asq494iiiEWLFjHNKIJpRh9Ms8QpKSmZdfu6detQ\nXFxMXivdX0tLSwFMluI0mUykgo/i4GdkZJAk32hmci4EQUBWVhYEQSA3DvNFpVLhBz/4ASwWCwCg\noKAANTU1ePnllzE2NoYPPvgAw8PDaG5uRklJCSoqKnDz5k0AiHGm52pepTwRyMrKwujo6IzlN6Ph\neR48z0OSJBw5cgSyLKOtrQ2RSAQOhwPvv/8+ZFnG4OAgwuEwJiYmkj5Bl80zukg1vdLCwY9OOmIk\nN6lWhzYdYJrRB9Ps9jGTM8DzPB5//HGsW7cOe/bsIe/n5uZiYmKCdPQ1m81klTsYDCIrKws+nw88\nz8es1vM8j8zMTIRCIRQWFi74ybTi3Cvk5+fja1/7Go4ePYre3l68+uqr+Pjjj7F69WoUFBSgp6cH\nDocDzz33HGw2G+x2O3784x8nZL+srAzt7e3zGp9KpUI4HIZKpYIgCFCr1SSMB5ista901k32JpZs\nntFFqumVFp5vqpQ8SgeCwSD6+vpSJos9HWCa0QfT7O4Qz/kvLy9Hbm4uSewtKSmB2+1GRUUFOI7D\nli1bYDKZsGHDBhQVFZHV8OgqOmvXro0JeXG5XDE2xsfH5zVOjUaDJ554Ak899RTGxsZIwzBBEBAK\nhXD+/Hk8/vjjaG1txfvvv48vf/nLOH36NK5du4bLly/j97//PX7+859jZGQkpnFVUVERurq65jUW\n4C99AOKF9Sjx+kqnXLfbDZfLBY/HA5vNNs3xn3pu7iZsntEFbXqdPXt21u3MwWckFaFQCHa7nWlG\nEUwz+mCa3Ts4jsPDDz9MnixnZWWB4zg0NDTgiSeegCRJ2L59O7Kzs7F8+XJ4vV74/X5SB7+kpASC\nIECv1wOYDOmJvpHwer0JhcTMxHe/+92YpGOVSoXu7m6sXLkShw4dQlZWFurq6tDd3Y3z58/j+vXr\nWLduHR5//HFcvHgRdrsdRqMRwGRc/Z34GxsdHYXD4YAkSejq6sKVK1dw/PhxtLW14dy5c3jttdfQ\n0dGBSCSCEydOLKjc5+2AzTO6SDW90sLBZ2Uy6UGWZdTU1KRMmap0gGlGH0yz5IHjOGzcuJHE5AN/\n6WCr0+mwZs0a1NXVIRgMIi8vD6tXrwYwWd5TCespLy8n+5NlOSYnYCHjiWbr1q0kROaf//mfsWHD\nBnAcB7vdjjVr1mD//v0oLS1FdnY2BgcHMTQ0hOzs7GkhPMPDwxgeHobdbsf777+PkZERvPDCCwuq\nba/E5wuCgL6+PvT29mJkZAS9vb0YHBxEMBjE8ePH0dLSAofDQcKETp8+HbM6e+HChQWcofmNk80z\nekg1vYS5P0I/idYZZtx7IpEIwuEwSVRjJD9MM/pgmiUXSkJuPCorKxGJRNDS0gKdTgdBmPzZLi8v\nR0lJCakx39raCo1GA71ej+zsbDQ3N5OY/UgkglAoBI7jEA6H5+XAmM1mfOELXwCAmNr+Tz75ZEwp\nUGCyqdjLL7+Mr33ta3C73WSsAHDy5En4/X7o9Xq43W68/vrr5KYgLy8v4fEAkzchSrJyb28v1Go1\nZFnGyMgIebIhyzIp0zk8PIxIJIL29nbIsowVK1YgHA7jypUrqKysJE8cbjdsntFFqumVFiv4yZ6I\nw/gLPp8PjY2NrLQpRTDN6INpRhccx2H58uUIBoMxmqlUKmg0GuTm5pJVf71eD6vViuXLl2PPnj3w\n+Xyoq6tDZmYmDAbDnLWzEyU7O3uaE7R8+XJ8//vfR25uLjIyMmKShRWHv7OzE9u3b8eNGzfQ0NBA\natwvFK1WSyrwKM69gizLkGUZLpcLTqcToVCIlAQdGRmBLMt4//3359VReD6weUYXqaZXWjj4LESH\nHiRJQlVVFdOMIphm9ME0o4/y8nJs3rw5rmZK9Q+fz4fs7GxotVo0NDRAkiQ88MADqKqqgl6vR1VV\nFaneoxCJRG7rU27F6TebzaQM6M9//nNs2rQJe/bswapVq5CZmYnvfOc7KCgoQG9v7x1PanQ6nejp\n6YEkSRgbG4PH40FHRwfUajW8Xi9aW1vviF02z+gi1fRKCwc/FR61pAtKKThW2pQemGb0wTSjj7k0\nW758OZYvXx4Tjw8AFRUVEEURS5cuJbXtPR4P2e71emNe3y50Oh1kWUZdXR2efPJJFBUVQZIkrFix\nAgBgtVohiiKcTieeeeYZtLe34xe/+AVefvlltLW1weFwIBwO47//+79J0qNSOWe+BAIBtLa2QhAE\nyLKM06dPY3R0FBzHQRRFdHR0AMC0hl+3CptndJFqeqXGUcwBLSWPGJMX4s7Ozjv2yJRx+2Ga0QfT\njD7m0iwnJwc1NTUzLmiZTCYIgoCcnBxoNBpSWUaW5Wm18RXcbveCxyvLMgkXslqtM37uK1/5Cvbu\n3YvnnnsO+/btg9Vqxauvvop33nkH77//PoqKinD+/Hm0tLTgN7/5zYLGIggCKR3KcRwGBgYwMjJC\ntjscDjQ2NuLYsWMLSvqdCTbP6II2vcrKymbdnhYOPkuypYdIJIJAIMA0owimGX0wzejjdmr2yCOP\n4OGHH4bH40FmZiZyc3On7TcQCMBgMCwohy0cDkOj0WDNmjUJPR0oKCiAKIqwWq1Yu3YtvvjFL6K2\nthbj4+N45JFHYLfb0djYOOuNwmxIkhSTICzLcsxrURTxySefYHx8HHa7fdr3lZuD9vb2eZVQZPOM\nLmjTKycnZ9btaeHgp0rb4XRAkiRUVFSkTAxcOsA0ow+mGX3cTs3UajVyc3ORlZUFnU6HkpISeL1e\nTExMEOdGpVJh8+bNC1rNDAQC0Ov1MBqNCf3+chyH733ve8Su1WpFQ0MD9u3bB5VKhZ07d2L//v3I\nzMwkjauuXr16W1fbZVmGyWRCT08Pbty4gU8++QT9/f0AgGPHjqGvrw+XLl0i7yUCm2d0kWp6sTKZ\njKQiHA7D5/NBluWUiYNLdZhm9ME0o487odmOHTtIWUCVSoXs7GyMjo5CEAQUFhYiMzMzptRlKBQi\n1XpmIxQKwWQyAZiMxfd6vXN+J9rOTFRWVuLatWtYtWoV3n33XWRkZMwZppAoHMdBpVLhk08+iRlT\nYWEhJiYmcPr0afh8PnR1daGwsDChfbJ5Rhe06TU0NDTr9uQ/gtsAK5NJD36/H83NzUwzimCa0QfT\njD7uhGaKU8txHB588EGsWrUKRUVFCAQCyMrKAs/z0Gq1AACPx0PCF4LB4KxOO8/zyMjIAADy/9vB\n4sWLcfXqVQQCAZjN5hhnHJisd3+rSJJE/uN5Hn19faRvgCzLJFznypUrc+6LzTO6oE2vtra2Wben\nhYOfKo9b0gFJklBbW8s0owimGX0wzejjTmuWn58Po9GI+vp6OBwO5OfnAwCpLW8ymZCVlQWPx4ON\nGzciHA7D4/FAkiR4vd4Yp0iSJLLSfzsdfI7jsHv3bjz33HPIzc2FIAg4cOAAOjs74Xa78f/+3/+L\neWIfCoVw8+bN22YfALmxuXLlypw1/Nk8o4tU0ystHHxWJpMeeJ6HWq2m4vEYYxKmGX0wzejjbmmm\n1+tx//33E8c8JycHoVAIFosFBoMBGo0GeXl5EEURgiBg586duO+++7Bjxw4yNmXVHwByc3NnbBwU\nHfOfKFarFbt378bKlSuxa9cufOlLX8IHH3yA559/Hhs2bMBPf/pTDAwMAJh0wt95552FnIYZmZiY\nIInD3d3ds36WzTO6SDW9UuMo5oCWkkeMyUdkra2t1DwiYzDNaIRpRh93U7P77ruPLIyVl5fD7XYj\nOzsb1dXV2LRpEziOg1arhVarhSiKqKmpgdlsxubNm+Hz+WIq1OTm5pJkWCW8xe/3w+fzwWq1Luj3\nuaCgALm5uQAmnbInn3wSjz32GLZv346VK1fiypUrOHToEM6fP4+srCxEIhF0dnbid7/73S3n5AWD\nQbS3t0MQhGl1+W02W0zo0uDgIE6fPs3mGSWk2nUxLRx8toJPDxzHQZZlphlFMM3og2lGH/dKM61W\ni5ycHOTn58NkMpHSfDqdblr4jclkwtKlS1FXV0feU+LZ/X4/iouL4fV6YbFYYDKZkJ+fj8zMzFse\noyiKMJlMyMjIwJYtW3DhwgUUFhbiG9/4BgoKCtDf349PPvkEVqsV7e3tACaduZdeemnGpwuzce3a\nNUiShPHx8ZhKPteuXYsJ22ltbUVfX9+8NHO5XCnjYNJGql0X08LBTyQ7n5EciKKIRYsWsdKmFME0\now+mGX3cS822b98eE3YDAEuWLIkbq1xfXz+tXv1nPvMZCIKAxYsXQ6fTwWQyoaCgAIsWLZp2k+D1\nehOqujMb//RP/4SlS5cCAKqrq3Ht2jU4nU5s2LABly9fBgA0NTXBaDTiww8/nNe+ZVmG0+kkry9c\nuED+bbPZYhJ9bTYbeJ5HMBgkYUNz0dPTE7N/xt0j1a6LaeHg385auYw7SygUwvj4+LyaiTDuLUwz\n+mCa0ce91Cyew5Ofn4/Vq1cn9H21Wo2lS5fCarVCq9UiNzcXDQ0NMBgM0Ol0MZ/NycmZsbNuoihV\nb5T9KeUENRoNPB4PIpEIenp6sHbtWvT19c0rTEilUpExi6KI/v5+tLe346WXXoLD4YDNZgMwWZ5b\ncfivXLmCxsbGhPZvt9tJrX/G3SXVrotp4eCzGHx6CAQCaG1tZZpRBNOMPphm9JGMmkU70nNRXV0N\nURRRWVkZs8JvsVjgdDrh8/ng9XpRXV2NtWvXIhgMIhAIwOv1zlmWczaUsAvFaSsqKkJHRwfcbjcy\nMjKwadMmnD59ekH7BgC3242hoSFwHAdJkmC32zE2NgaXy4VAIIDR0VE0NjZidHQU4XB4zuPw+Xxw\nu90LHg9j4STjHJuNNWvWzLo9LWJXUqXkUTogyzKWL1+eMjFw6QDTjD6YZvSRKpqVlpbGvC4rK4PF\nYsGZM2cwPj6OoqIicByHkpISDA0N4b777kNWVhY++ugjdHR0QK1Wz9vmZz/7WeLgr1u3DgcOHCCV\nUhYtWoTTp0/jxo0buHr1Kvbt2zevfYdCIYyOjpLXGo0GFy5cQEVFBTQaDSoqKuDxeBAKhWC323Ht\n2jXk5uaivLycfD+6edit3Mwwbo1UmWMKaeHgp4pY6QDHcUwvymCa0QfTjD5SVTOO42A0GmEymaDR\naMgxLl26lFTvAYBVq1bB7/ejr69vQU6+4kQLgoAvfvGLuHHjBrEfiUTw4YcfQpZlOBwOGAyGhPfL\n8zyGh4djcglGR0dhs9nI4mJGRgZCoRB6enowMTGBmzdvory8HJFIBK+//jrWr19Pnmp4vV5qVpBT\njVSbY2kRosMy0unB5/OhqalpQZUNGPcGphl9MM3oI9U1KywsRGVlJXmt1WqJcw9Mrq6uXbv2tuTU\nybKM2tpa8nr79u1Yt24d9u3bhzfeeAMA8Ktf/Yo42oFAYEa7sixPc8glSYIgCAgEAuju7kYgEIBK\npSKhO8oKvcvlgsvlwqeffkq+yxz8ewdtc2xqJ+eppMUKfvTjL0Zyo1KpYDabmWYUwTSjD6YZfaS6\nZoWFhXN+Rq1WT1u9d7lc0Gg0t3ReLBYLSewtLi7GqVOnIIoifv3rX+Oxxx7DsWPHkJGRgZaWFvzj\nP/5jzCqv8gQiHjzPQ6fTkXCg3t5eRCIRsrLf29sLWZbR3d0Np9MJnU43rSsw4+5B2xybKxk7LVbw\naRGLMfn4NC8vj5U2pQimGX0wzeiDaTaJEj4TiUTg8/lILPvtYt26dbDZbHjsscfw9NNP4/nnn4dO\np8O5c+fwwAMPoLGxEaFQCMFgcM59qVQqmEwm4oMoK/s+nw/hcBijo6MQBAGSJOHKlSuYmJggycWM\nu0+qzbHUOIo5YGUy6SEUCsFms8VcFBnJDdOMPphm9ME0m6SkpATnzp0Dz/PIzMxEaWkpJiYm4HQ6\nEQwGEQwGFxSjryAIAh555BHy+lvf+hZ4nsdDDz0EURRx8OBBdHV1QRRF7Nq1a9Z9hcNhuFwusorP\ncRwEQYDf74fX642pdz86OoqxsTES2qMwNDQEQRBgNpsXfEyMxEi1OZYWDj67G6aHQCCAnp4e6HS6\nlJhg6QDTjD6YZvTBNJukoqICer0eVqsVPp8Psiyjq6sLIyMjWLNmDc6fPx/z+YmJiWlNuuaDEl6j\n3DQUFhYiEAigr68PkUhk1qTMYDCI0dFRqNXqadX83G43JiYmyOvx8XH09vaSDrnDw8PIzs7GuXPn\nUFxczBz8u0CqzbG0CNGZT61exr1FrVZj2bJlt7QCw7i7MM3og2lGH0yzSVQqFfLy8sDzPDQaDXie\nR1ZWFjweDxYtWgSDwQCPxwNgMmFVr9fHJE3e6hP9jRs3YuvWrSgrK0NnZ+esn5UkCaWlpdOce0mS\nMDw8HFPvXpZlXLlyBU6nE5Ik4dSpU3C73bDb7ayz7V0i1eZYWjj4DAaDwWAwUpPKykoSQrNy5UpY\nLBZEIhFUVlZi165dxKkPhULTHPyFPuFftmwZ/vd//xcnT56c8TMzxekLgoDW1lZEIhHyHs/zMJvN\n+O1vfwsA8Hg8eP311yFJEmmalSodVhl3h6Rw8MPhMH72s59h586d2L59O/bv3x9T/ufEiRPYu3cv\ntm3bhr179+LEiRPz2j8tJY8YkysujY2NrNEHRTDN6INpRh9Ms5lRGmMBQE5ODoxGI7xeL8rKyiBJ\nEjIzMwEABQUFKCgoIN/z+XwL9g8yMjLw/e9/Hz09PXj33Xfx2muvYXh4mDj1kUgEP/7xj3H8+PG4\nVXFGR0chimLMe5FIBNevXwcAiKIIWZahUqkwMjKCgwcP4uOPP8bY2NiCxsuYG9rmWE5Ozqzbk8LB\n/8Mf/oBjx47h4MGDOHz4MLZu3Yp/+Id/AACMjIzg29/+Nv71X/8VR44cwb/927/hO9/5TkznuLmY\nOokYyYsoiigqKmKaUQTTjD6YZvTBNEscs9mMSCRCSl/m5+cjHA5Dq9WitLSUhPBEIhEUFxcv2I7B\nYMDY2BjUajXWr1+PxsZGvPXWW/B6vThy5AgeeughdHZ2YmBgYNp39Xr9NC1tNhtJFI5GFEWo1Wq0\ntbXh1VdfnZf/w0gc2uZYWVnZrNuTwsFvaGjAT37yE+j1egDAli1b0NHRAb/fj8OHD6OqqgorVqwA\nACxfvhyVlZU4evRowvtXkmQYyY9KpYLFYkmJBJd0gWlGH0wz+mCaJU5xcTG2bt1Kfvvr6+vhdDph\nMpmQm5tLEmN1Oh2qqqpuacV206ZNWL9+PbKzs7Ft2za43W688sorMBqNWLVqFb7whS/go48+wksv\nvTTnvkZGRlBVVTXNgVeOw+fzwWg0oqWlZcHjZcxMqs2xpPB8ly5dipqaGvL6vffeQ319PSRJQnt7\nO0pLS2M+X1paitbW1oT3z+LW6CEYDKK/vz+hGsOM5IBpRh9MM/pgmiWORqOJCcXRaDSQZRkWiwWC\nIJCQnczMTBQUFJDwnoVQW1sbs+K7evVqrF27Fvfffz9UKhXGx8fxmc98BoFAAIFAYFqVn2hGRkZQ\nU1ODkZGRuNuVZN3h4WE4HA6cOnUKwOTfRnQ8P2Nh0DbHopO043HXHPx33nkHq1evnvbfQw89FPO5\nQ4cO4cCBA/jRj34EYLLE1dQqOLIsk0dsiaDcnUciEXi9XpJkEwgESGxcOByO2eb3+0nyTSgUgtfr\nJRPI5/ORP4BQKBQTw+f1eskNRTAYJNvulO3olYdUsO3z+WCz2RAIBG6bbWVbosetbEt22z6fLyls\n+3w+jI6OIhQKzWp76t/C3Tzu+dj2+/2z2la20Ww7FAphbGwMExMTt2QbwD077ttpe+o173baVhy7\nW7Xt8Xhgs9nI5+6m7Xt53Au1PfWat3jxYmRkZMDv96O2thY+nw+SJJFKO0rNemUsoVAoJgHX7/fH\nJOtGx9pHbystLUVRURH5nNPpRCgUQm1tLZ599lmcPHkSg4ODCIfDMbH5gUAAg4ODWLJkCQYGBma1\n7XA4cOTIEdy8eRNOpxMnTpxAb29v3OOe7ZzHu97Ods6DweC8zjlNtkOhECYmJuLOsfn6NAuxvRA/\nsrGxEbNx1xz83bt349y5c9P+iw61+eUvf4mf/OQnOHDgAKqrqwEAWq12WhKMx+OZV13b/v5+AJMn\nv6mpidz19Pb2oqurC8DkyW5qaiJidHZ2ku+53W40NTURYW7cuEHusG02W8zjsmvXrsFutwOYbFBx\n8+bNuLb7+vqm2Vb+SOayPTw8HNd2S0sLsT08PJyQbb/fP812X19fXNs3NxKXYgAAIABJREFUb96c\nt+1IJIKmpibSUnk220ot45qaGgQCgRlt2+32abZtNtuMtqOPWylrFs/21ONWJtF8bN+4cSOu7f7+\n/mm2lb/ruWwPDQ0R29euXYtre2RkJCHbynmNtt3b2xvXdltbW0K2nU4nOI4jN+LRevf396OjoyPu\ncXd3dydk2+FwTLOtJJpFH/dCbU9MTKCpqYlcUG/evInBwcG4tq9fvx5zzqOfJEbbHhgYmGZbcRzm\nY7u5uTmu7dHR0Wm2lVJ60bYVvaNt9/T0QJZlFBcXo7W1ldhua2u7Lbbb29vj2u7p6UFPT0/c4462\nPT4+Ps22ovftsO3xeNDU1ER+XGez/emnn8bY/vTTT+PaHhwcnGZbWYRSznkitpuamuLaHhsbQ0dH\nB2pqaiDLMpqamjA+Pj7NdjAYnGa7u7s7ru329vaEbU897mjbbW1tcW339PRMs638vkbbdjqd02wr\nISpTbTc3NydsWznnXq8XTU1NaGhogEqlQnt7O2RZhizL5FpptVqJ81VcXIxAIACXy0Wuy8o+lbr1\ndrudjD8cDqO7u5v8loyOjpLxRyIRBAIB8DyPhoYGmM1m7NmzB1euXIHH48HRo0djrtNOpxNFRUXo\n7e2d1bbdbifdcD/88EN0dHTg008/jTnnynEr57yjo4PkAkw9562trWTMNpuNJPoq59zhcJBzrvy+\nhkIhNDU1kXH19vZOs62ck2jbLpdrmu1ofyra9rVr1+Zte6o/1dHRQfypqbajfbmxsTG0t7eTORZt\ne2hoiPytxfMjb9X2XH7kTLbnSrjmIknyXOdnP/sZjh8/jl/+8pewWq3k/YMHD+K1117DCy+8QN77\n3Oc+h/379+Nzn/vcrPvs6enB1q1bcejQIZSXl5PW1pIkged5BAIBRCIRSJJE7qaVbX6/HxzHQRRF\ncicvyzI4joPP54NKpYIgCOROXnFuvF4vRFGESqVCMBhEKBQiF5I7YTsQCJCaralgGwCJf7tdtpVt\niR63si3Zbft8PgiCcM9tKyt1Go2GbItne+rfwt087vnY9vv94Hl+RtvKuGi2rexD6fq5UNtT58Dd\nPO7baXvqNe922lYcrFu1HQwGIYoieJ5PWO/bZfteHvdCbU+95k21/e6776KmpgaFhYXgOA4HDhzA\n448/DlmW8corr5AnkkpuoMPhQGZmJnieJ9sEQSBOvCAI4Hme3EAJgjDteqtse/nll7FmzRpcuHAB\nDocDTz/9NMLhMF555RXs378ff/zjH/H444+T0B+/30/2H207HA5DFEU4nU7odDrs2bMn7nG7XC6M\njY0hPz9/zt/22c55MBhEOBxe8DlPZtvKtnhzbL4+zUJsL8SPPHjwIH74wx/i2LFjKCwsnOYDJ0Un\n25MnT+LNN9/EK6+8ApPJFLNt27Zt+OlPf4ozZ87ggQcewMmTJ9HV1TUttCcROI6LaWAQHTfH83zM\ntujGFCqVKibpIjpkaOq26H0IggBBEJjtedj2er24evUqamtrY7bdzeOeui1ZbUdvu5e2Q6EQrl27\nRjSbyfbUcd3N456P7UTnAM22lRW22tpaknC4ENsA7tlx02L7dlxvFeensbFx2rXxbti+l8d9p2wb\nDAZkZ2eTbZs3bybdYjUaDYLBICoqKnDz5k0IgkBW4j0eT4w9juNijid6vMFgEL29vSgqKoIkSWRb\nOBzGJ598gh07dmBsbAwvvPAC9u/fT+Yiz/PknDidTpIzoJyv6GMbHBxEVlYWWdVVxsJxHG7cuIG6\nujp0dnait7eXVAxa6DmPfv9u632nbSs3jfHmWLL6U3MlAyeFg//cc8/B5XLhySefjHn/Zz/7Gaqr\nq/Ff//Vf+MlPfoKJiQnodDr8z//8D4xGY8L7n9pFjpG8SJKEqqoqphlFMM3og2lGH0yz28uSJUuQ\nkZFBXldVVZF/6/V6BAIBrFq1Cj6fD729vTAajQgEAsjKyoJOp8PAwABxyGdCEATk5+fHOKfAZJWf\nU6dO4ZFHHiHO+6FDh8j2lStX4tixY9i2bRv+8z//Ez/4wQ9mtBHt/I+OjqK3txcrVqxAd3c3zpw5\ng5KSEtjtdlY/PwFSbY4lhYP/61//etbtDzzwAF5//fUF73+uSchIHniej7lgMZIfphl9MM3og2l2\ne5mtSVBpaSmJvy4sLERLSwvWrFmD69evY8eOHfB6vXjzzTfnXEHleZ6ELkajOOAKxcXFOHPmDLnh\nqKiowIULFzA8PIzBwUF4PB7Ishy35LeyEqxWq3HixAk4nU6MjY1hYGAAmZmZ6Onpgd1uRyAQgM/n\nm1a0hPEXUm2OJUWZzDsNLSWPGJNx952dnQtuH864+zDN6INpRh9Ms7tHVVUVVq1aBQAoKiqCSqVC\nRUUFtm/fDo7joNFoUF5ejnA4PGupwmAwGNPdVkGtVmP//v0x723btg319fXktSRJuHTpErZv347e\n3l78x3/8x6wlvzmOA8/zMBgMGBgYgEajgSAIGB0dJTcrLpcrpnJPOBwm2xipN8fSwsFPkjxiRgIo\nCUtMM3pgmtEH04w+mGb3BpVKhd27d0OtVkOn05H3a2pq4PV6YTab4zbKUip2JbrAaLFYUFJSAo/H\nA6/Xi8LCQly+fBkrV67ExYsXIQhCwg2uop8adHd3k+TUkZERnDp1CkePHsWxY8cwNjaGixcvJrTP\ndIC2ORZ9QxiPtHDwaWk7zJhctaioqEiZGLh0gGlGH0wz+mCa3TvihfNotVpYrVasXr0aFouFlO9U\ncDqdEAQBeXl502LwZ4Pneeh0OpSUlKCkpAQ5OTnQ6/X42te+hjNnzsy7cafT6SSr+ePj47DZbBge\nHkZfXx8aGxtJqVcGfXMsOockHmnh4NNyN8aY3oiJkfwwzeiDaUYfTLPkY8uWLcjOzsZ9992H7du3\nw+v1wul0IhwOIy8vD16vFy6Xa15OtFarRU5ODqxWKz7/+c+D53ns3LkTFosF69evx6VLl+Y1xujK\nhB0dHfB4PBBFERqNBjdu3IDT6YwJ20lnUm2OpYWDz/546WFqAypG8sM0ow+mGX0wzZIPURTBcRys\nVisKCgpgMBigUqngcrlw3333we12k3CbRNFqtdBoNIhEItMKhFRVVcU09psv0Q0JAcBsNkMURTQ2\nNpImYTORaHgQzdA2x5QGWDORFg4+LY9bGJNa1dbWMs0ogmlGH0wz+mCaJT9GoxGLFy+GRqNBQUEB\nAOALX/gCTCYTvF4vicufDa1WC6PRGNfJ5HkeWVlZ+O1vf4tnnnmGdEldKEq9/evXr+PChQszfs7p\ndOKDDz5IaPzxoCWKgrY5pnR7n4mkKJN5p2FlMulhaqMIRvLDNKMPphl9MM2Sn6KiIhgMBlRXV4Pn\neWzcuBE6nQ55eXlwOp0wmUxoamqatVSlRqOByWSK6WwazbZt2wBMJu+++OKLeOqpp8i2/v5+jI+P\nY/HixfMat0ajwcjICF555RXU19cjJyeHNPayWCy4efMmtFotBgYGSLOs+dDc3Iza2tp5f+9uk2pz\nLC1W8FOl5FE64Pf70draSs0jMgbTjEaYZvTBNEt+SkpKYDKZYDAYAADl5eVobW2F0WjEypUrsWzZ\nMtTV1cHlcpG69NEEg0HodDpotdq4Ne+jEQQBPM+jq6uLNMk6evQoLl++vKCxezwe+P1+XL16Fa+9\n9hpOnDiBkydPAgD6+vogy/KCSmqGw2EMDw8vaEx3m1SbY2nh4LMVfHpQ2n4zzeiBaUYfTDP6YJrR\nh6KZJEmkgVJDQwMeeeQRZGRkIBAIxCR0+v1+mEwmSJKUUOWdjIwM/OlPf0JGRgZaWlqgVqsXnCAq\nyzJEUYTf74dWq4Xf78f4+DhGRkYwMjICnudJOdCenp6EF049Hs+0CkPJSqrNsbRw8OdToopxbxFF\nEcXFxay0KUUwzeiDaUYfTDP6mEmzrKwsLFmyBHv37o2poR+JREit/by8vDlLYi5duhQbNmzA2rVr\ncejQIRQUFMBqtaKvrw/BYBDXrl0DADz33HOzNuSaOmaVSgVRFCFJEt5++21SV9/r9WJoaAjvv/8+\njh07ltD+3G43Nc1GU22OpYWDnyolj9KBUCiE8fHxedf6Zdw7mGb0wTSjD6YZfcymWWVlJcxmM7Ky\nsgBMhhJzHEdiwFesWAGfz0f+i0dxcTGWLFkCURQxMTGBsrIyrF27FgcPHsTvfvc7tLW14bXXXoNe\nr8d777037/GrVCpoNBqyou3z+XDmzBkSsz84ODjnPmw2GzWLrKk2x9LCwWcx+PQQCATQ2trKNKMI\nphl9MM3og2lGH4loVlFRAUEQSGKtSqUCAOJYh8NhRCIReL3eWUtZPvHEE8jJyYFGo8HXvvY1PP30\n09i9ezfy8/Px8MMPLziuXBkPADgcDhKHr1ar0dvbO+f3XS4XNSEvtM2x6M7K8aDjtuoWoaXkEWMy\nDnD58uXUXBAYTDMaYZrRB9OMPhLRrKqqClVVVQAQU6pSEAQIggCVSkUSXHU63YwRCco+AECv15N/\nr169GsBk+I/P58PAwADy8/PR2NiIVatWzet4bDZbzL4nJiZw/PhxbNiwIeZGIBgMklV7r9dLTYgO\nbXOsrq5u1u1p4eDTIhZjUiumF10wzeiDaUYfTDP6mK9mUx1utVpN/vP5fCgsLERnZ+eC/w4OHjyI\ncDiMnJwcDA0Nwe/3Y926dQl/P7orLjC5Oj80NITm5mbU19cDmAzjuXDhAtavX09e0+Lgp9ocS4sQ\nnVQpeZQO+Hw+NDc3L7ihBuPuwzSjD6YZfTDN6ONWNZNlGXq9HgUFBSQBdK6OszORmZmJvLw8GAwG\nuN1ufOUrX8HIyAhsNtuC9gcAY2NjACYbLl26dAmhUAg9PT0xZTH9fj81Dn6qzbG0WMGPfnTESG5U\nKhVMJhPTjCKYZvTBNKMPphl93Kpm4XAYJSUlyM/PhyRJyM7OnnNfHo+HVL2JZv369dBoNPB4PCRs\nee3atXj33XexZ88eUsZzPvh8Pmi1WgwODqKnpwcej4fkC0QiEXAcR1bwldfJDG1z7OzZs7NuT4sV\nfFrEYkzGHebl5VGTdc9gmtEI04w+mGb0cauaFRYWIi8vDxzHoaSkBDzPw2g0AkBMeU2FUCiESCQS\nd18GgwGSJMFgMJAbgOzsbCxfvhzPP//8rImlZ86cwdDQ0LT3MzMzoVKpwPM8tFotOjs70dnZCQA4\nfPgwwuEwiaCgYRU/1eZYWjj4rEwmPYRCIYyMjKRMmap0gGlGH0wz+mCa0cetarZs2bJpHW31ej0C\ngQAEQZi2X5/Ph7Vr18Z1/mdiyZIl2Lx5M1588UVSN38qTU1NuHjx4oz7EASBNIlSGmbZbDZ8/PHH\nJNyFBgc/1eZYWjj4tJQ8YkxqNZ8ueYx7D9OMPphm9ME0o487oZnZbEY4HMbevXunOaIqlQpFRUUz\nruLPREVFBUwmE86dO0e+Ozo6CmDS6dXpdPOO1RdFEV1dXYhEIgiHw1Q4+Kk2x1LjOcQcyLJ8r4fA\nSBC1Wo1ly5bd62Ew5gHTjD6YZvTBNKOPO6FZYWEhxsbGoNVqsW7dOnz44YekOZZarYYsy+Q1MBnK\nE/06HhzHYdeuXfjggw9w+fJlXLp0Cb29vdi0aRNGR0exYsUKXLx4cd5x9OPj4wiHw+B5Hm63e0Fx\n/neTVJtjabGCz2AwGAwGg0E7BoOBlLYsKCiIcbiVxczoBkgTExMJhynfd999OHDgAPbv349vfOMb\n8Pv90Ov1qKyshMlkgs1mw7FjxxLeH8/z6OnpAcdxpOuty+VK6LuMWyctHPxUKXmUDni9XjQ2Ns4r\nhpBxb2Ga0QfTjD6YZvRxpzRT4vIFQYDZbCYhJcpKfUZGBoDJuPfFixcn7ANlZmbi7//+76HT6WC1\nWvHwww9j27ZtAIBFixbhxIkTaG1txe9//3v09/fPuT9JknDhwgU4HA6Mj4+jvb0dzz//fNKWLk+1\nOZYWDr4oivd6CIwEEUURRUVFTDOKYJrRB9OMPphm9HE3NNu5cyd27doFQRBiVvCDwSACgQBWrFgx\nr/2Vl5fHfX/RokUYGBjA17/+dezduxeHDh1KqCb/8PAw3G43xsfH0draCq1Wi/b2dvz5z39Oulh3\n2uZYWVnZrNvTwsGfmoXOSF5UKhUsFgsrbUoRTDP6YJrRB9OMPu6WZgaDARs2bCAOvtVqhcVigdFo\nhE6ng8FguOXSjxkZGfjGN74BlUoFo9GIXbt24Y033pjTSR8fH4fb7YbD4cDw8DBkWcaHH36IwcFB\nXLly5ZbGdLuhbY7l5OTMuj0tPN9UKXmUDgSDQfT391ORcc+YhGlGH0wz+mCa0cfd1MxisZDV+oKC\nAmzbtg3bt28HAOzduxf19fVwOp0k/MTv99+Sb5SXl4f6+nocP3581s9pNBq4XC5SQhMAjEYjRFFE\nS0sLrly5gkgkkhRhO6k2x5iDz0gqQqEQbDYb04wimGb0wTSjD6YZfdxtzaauPCsda4HJVX2fz4e8\nvDwAk052QUHBLdmrra3FwMAAee10OhEIBHDjxg0Ak/mPZrMZbrc77vfVajWuXr2KwcFBnDlz5pbG\ncjugbY7Faz4WTVqUyYz+I2ckN7Iso6am5l4PgzEPmGb0wTSjD6YZfSSTZhkZGdDr9aioqMDJkydR\nUFAAvV6P3t7eWwpJqaysRFNTE9RqNQ4ePIiKigpIkkSc++Li4hkdfGDypuTEiRNJEfeeTHolQltb\n26zb02IFf75NHxj3DqUpBtOMHphm9ME0ow+mGX0kk2Ycx2HNmjWwWq1wuVwoKSlBQUEBfD5fQsmy\nM7F69Wq0trbiypUrpGLPrl27cP36ddhsNuTm5s5axUcURYyPj8PlcsHn88Fms6GxsREA0NfXt+Bx\nLYRk0ut2kBYOfjLEdjESw+fz4fLly6y0KUUwzeiDaUYfTDP6SDbNysrKoFarkZWVhdzcXOj1eoii\nCJ1Ot2A/ieM4PProo/jsZz+L5cuXo7q6GpIkwe/3w2azwWg0zrkPo9GISCSC/v5+vPrqqzh79ixc\nLheOHDlyV53tZNPrVkkLB5+F6NCDJEmorKxkmlEE04w+mGb0wTSjj2TVbPfu3eA4DjzPY+nSpdix\nYwc0Gs2ssecOh2PO/ZaVlWHVqlXktd1uT8jBBybDY65duwZZlmEymXD48GH4/f5Zw3tuN5IkwWAw\npEzlxdQ4ijmYT2tlxr2F53no9fqUmWDpANOMPphm9ME0o49k1UxpiAVMJspqNBqsXLky5n0Fu90O\nn88HjUYzbztutxs6nS6hVXiVSoWenh6o1WqoVCpEIhHodDqSxOvxeOB0Ouc9hvnA8zyCwWDCnXqT\nneT6q7tDpErJo3QgEAigs7Mz6RpgMGaGaUYfTDP6YJrRB02aFRUVYc2aNTHx+IFAALIsIxKJoKam\nZl7VZfLy8tDT0wOO40hce3R8fTym+mqiKKKnpwcA0N/fj8uXL8/zqOZHIBDAzZs3byknIZlICwc/\nVRIm0oFIJIJAIMA0owimGX0wzeiDaUYftGmWk5MDSZIQDAbB8zycTieWLl2KwsJCVFRUwO/3IxgM\nJhSvv3LlShLWk5OTg+HhYbz11ltoamqa8TtZWVnT3uvq6sL4+DjsdjsGBgbu6Op6JBKBy+VKmUXh\ntHDwk6H8EiMxJEkiZbYYdMA0ow+mGX0wzeiDNs04joPRaIRGo8Gjjz4KtVqN+vp6bNq0CTqdDkuW\nLIlx7h0Ox4zOcEZGBr761a8CABYvXoz33nsPVqt11pKc8cKpZVlGd3c3PB4PQqEQWlpabvEoZ0aS\npDm7wyYTa9asmXV7Wjj4tNw9M4BwOAyv15syMXDpANOMPphm9ME0ow8aNTObzSgvLwfP89i2bRt4\nnieO94oVK7BhwwYYDAYEAgGUl5fPuppfXFwMYLKz7pIlS7BhwwZotVp8+OGH+P3vf4/f/OY3iEQi\nePbZZ2cM/1GpVBgbG4PH44Eoiujq6rr9B/3/Ew6HMTExgYmJiTtm426SFg4+K5NJD36/H01NTUwz\nimCa0QfTjD6YZvRBo2a1tbWorq4GANL1VoHjOJSWlkKv16O4uBgbN26EIMzdL5XjOKxYsQJarRYP\nPvggsrKy8Fd/9VcoLi7G4OAgrl+/js7Ozhm/b7fbSTWdsbExuFwunD59+haOMj5+vx+dnZ13PJn3\nbsE62TKSCkmSUFtbyzSjCKYZfTDN6INpRh80aqbVauf8zOrVq8kxZWZmkrrxbrcbkiQhHA6D4zjy\nmbGxMZjNZgCAXq+HXq8HACxZsgSvvfYatmzZgk8//RRlZWVx7SkOt7K/N998EwaD4RaOMj6SJKG0\ntJSaqI9PPvlk1u1psYLPymTSA8/zUKvVSVdWjDEzTDP6YJrRB9OMPlJVs+gbFpPJRP7N8zz8fj94\nnkdmZiaAyco0Mx1/Xl4eFi9ejIcffhh2u31We4pN5d9erzeuIx6JRHD8+PEFJcryPA9RFOdVLehe\n4nK5Zt2eWn91M0BDiSrGJH6/Hzdu3KDqkWa6wzSjD6YZfTDN6CMdNMvLyyPHZzKZwHEcMjMzYbFY\nAEyeA+XfU+E4Dlu2bJk18XYmvF4vTp48iaGhoZgch4mJCVy7dm1BDbL8fj9J6E0F0iJEh63g0wPH\ncRBFkWlGEUwz+mCa0QfTjD7SQbNFixahqakJLpcL+fn5cDqd0Ol0ZMWd53mYzWYMDw/PuS+v14uh\noSF0d3dj3bp1s342FAphcHAQQ0NDEEURkiRh69atsNlskGUZdrt93mE8HMeRuv2pQFo4+IkkgTCS\nA1EUSeY9gw6YZvTBNKMPphl9pINmoihi165dOHDgAEpLS9Hf3w+DwUBCXbRabUJdcI1GI374wx+i\nuroa4XAYkiTBaDSisrIy7uc5joPL5UJGRga8Xi+8Xi/Onj2LzMxMZGRkkBr88z0Wi8WSMjdkaRGi\nQ0vCBGOyTNX4+HjK3EGnA0wz+mCa0QfTjD7SRTNBELBp0ybk5eWB53ksWbIEer0ewWAQGo0GarV6\nznNQXFyMDRs2oK2tDV/60pfg8Xhw8eLFGT+v0Wig0+nAcRx4ngfP8+ju7sbw8DBUKhW8Xu+8jyMc\nDsPpdKZMWHdaOPipHP+Wavj9frS2tjLNKIJpRh9MM/pgmtFHOmmmrLRv3rwZarUamZmZCAaDkGWZ\n1M2fjSVLlmDPnj34u7/7O0iShI0bN8Yszra2ts45BkmS0NfXBwALcvD9fj96e3sX9N1kJC0cfJpK\nVKU7sixj+fLlkGX5Xg+FkSBMM/pgmtEH04w+0lEzo9EIAFCr1eA4Dmq1GmazmVS1GRsbmzWqIrqT\nrNFoxHvvvYdIJIJf/epXs9bKV8jIyACwMAdflmUsWrRoQUm/94K5uu6mhYOfKvFU6YDyuI1pRg9M\nM/pgmtEH04w+0lkzWZaJg5+ZmQmdTodgMIjCwkJSN18hFArF7R67c+dOlJaW4tVXX8WGDRtw5MiR\nhEtYRu/PbrcjEong8uXLOHHixIzf4TgOkUiEmjKZM/UNUEgLBz8dHo+lCj6fD83NzdMuAIzkhWlG\nH0wz+mCa0Uc6a6bUvlfq4RcUFCAYDGLDhg0kHt/n85H/Zoq0qKysRGtrKyorK7Fz50789re/TajT\nrMvlQigUgsPhwMsvv4yDBw+iubkZXV1dMzrwPp8PnZ2dKVMmMy0cfFoetzAmtTKZTEwzimCa0QfT\njD6YZvSR7prl5eWRRlirVq3C6tWrkZmZCUmSEAqFsHjxYgiCAL1eH9MwayqPP/44SktLUVBQgM9/\n/vN48cUX0d3dPavtcDiMixcv4siRIzAYDBAEAbIsIxQKYXx8fMbvaTQaapJs56r1zxx8RlIhCALy\n8vJYaVOKYJrRB9OMPphm9JHumm3atAlmsxnApB+mJOKazWaEQiE0NDRAq9XCbDZDr9fPuJ/y8nKS\nx5CRkYF9+/ahubl5VttqtRpXrlwBEBumrVar0d/fD2B6dMfExAQMBgM1VY+uXr066/a0cPBpEYsx\nGYs3OjpKTQwcg2lGI0wz+mCa0Ue6ayaKYtwF1k2bNmHHjh0QRRGyLMNiscBisSS8cm42m2Gz2Wb9\nDM/zcZ8KqFQq8t0zZ87EbOvp6UEgEIDX602J8upp4eDT8riFMalVd3c304wimGb0wTSjD6YZfTDN\n4iPLMlnZ12g0KCwshNVqndd5inbU+/v7MTQ0lPB3HQ4H3G43enp6Yt4fGhrC2NgYgsFgSuRupoWD\nn04lqmhHrVZj2bJlUKvV93oojARhmtEH04w+mGb0wTSbm6VLl0Kv1yMzM5Mk5ibCI488gnfffRfv\nvPMO/vznP+P48eMAAKfTicOHD8/6Xbvdjq6uLvJaKanp8/lw/vx5CILAHHwGg8FgMBgMBmMhGAwG\nUk5UqWGfCBqNBk899RQaGhqQn5+PYDCIcDiMQ4cOkWZXMxEOh3H58mWEw2EMDg7i7bffRiAQwNDQ\nED799FNwHJcSlXTSwsFPxxJVtOL1etHY2JgyneTSAaYZfTDN6INpRh9Ms/mh1+sRiUTg9/sTDtcp\nLCzE5s2bUVxcjO7ubkQiEZjN5rh19RXUajUkSUI4HMbJkyfh8/nQ2toKh8OBgYEBRCKRhEpxJjtp\n4eCLonivh8BIEFEUUVhYyDSjCKYZfTDN6INpRh9Ms/mxbt06+P1+FBUVobCwkBRIScTZr6mpQVNT\nE4DJBlBtbW1zfkeWZXi9XoTDYVy6dAl+v58k/s5VgpIG0sLBn09cF+PeolKpkJWVxUqbUgTTjD6Y\nZvTBNKMPptn8UKvVMBqN0Ov1WLNmDSkvOj4+PmdVG5PJhK6uLuTk5KCqqgrNzc0IBALo6Ogg350a\ndqPUxtdoNJAkCU6nEwUFBfD5fHA4HHfmIG8j9fX1s25PC8/3/2vvzsOjqu/9gb/P7FkJhIQlkBAg\nBCHUQESW+6gsSQEpVihVrsqVW5HrQmvrxeoVH6/0kYrXer0Uva1BJSl+AAAgAElEQVSPS623VXm4\nLGoVgQA2WlYLlDqQBbKvhCyTZfaZ8/sjvzk3k5kkEwiZ+c68X8/DUzsnOZ/vyTuZ+cyZ7/meSF2i\nSkROpxN1dXVwOp3BHgoFiJmJh5mJh5mJh5kNXFxcHMaMGQOtVovp06fDYrFg6tSpMJvNcLlccDgc\nvV4Au3btWtx6663Q6/VwOp149913ceLECZSWlsLlcmHLli2or6/3+70qlQotLS0YM2YMGhsb+12G\nMxT0d80CG3wKKS6XCy0tLcxMIMxMPMxMPMxMPMxs4GbOnInExEQAXVNtYmJiMGfOHDidTsTGxkKW\nZURFRfn93piYGMTGxgIA1qxZgw0bNmDlypU4ffo0zp8/j3vuuQdff/11r7VNJhOSkpLQ1NSEtrY2\nOJ1OobOLiAZfp9MFewgUIL1ej2nTpnFpU4EwM/EwM/EwM/Ews4GLi4tTpjRptVqsWrUKBoMBy5Yt\nw7Jly7Bw4ULMmDGj38VTVCoVJEmCXq/H6NGjYTQakZ2d3eenKRaLBTNmzIDZbIZarcbJkyfx/vvv\nK3e+DTX9XWcQEfdPDoc7kkUKWZYhyzIkSfK6vTSFLmYmHmYmHmYmHmY2eMaOHQsAGDNmDGRZRmFh\nITo6OpR5+n1ZsGBBQDXcbjdiY2PR1tYGrVaLoqIixMfH4/jx41i0aBHKy8vhcrmQk5NzPYcyaPq7\nuVdEnMEPhxsWRAqbzYazZ89yaVOBMDPxMDPxMDPxMLMbQ5IkLFu27JruEKxWq3udduNyuXDlyhW0\ntbUB6Fq2E+hq/Pfv3w+j0ehz99tQFhENPpeoEodWq0VGRgYzEwgzEw8zEw8zEw8zu3HUajWio6OV\n/x9osz969GjU1dWhvr7ea617s9mMmJgYpKSk+P20xbN8Znt7+zW9sQiGkJii43a78Z//+Z84dOgQ\nACAxMRGbN2/G9OnTAQAFBQX41a9+BYvFgqioKGzatAm33357wPvnMpniUKvVyrtmEgMzEw8zEw8z\nEw8zu7FiYmLQ0dEBAGhtbUVSUlK/3zN58mQUFRWhtrZWuZB23rx5cDgcyMzMRHR0dJ/TqSRJQnV1\nNdLT0wftOG6UkOh833//fZw4cQK7d+/GgQMHsGjRIjzxxBMAgKtXr+KnP/0p/v3f/x2HDh3Cli1b\n8LOf/QxNTU0B759LVInD4XCgoqJCmHfIxMxExMzEw8zEw8xurOjoaFitVthsNiQlJQXU640ePRqX\nL1+GWq1GXl4eHn30URw7dgzl5eWYMmUKGhsblRts+aPX61FTUzOYh3HDhESDn52djRdffFFZ3ui2\n225DVVUVrFYrDhw4gClTpigXNcycORMZGRnIz88PeP+8yFYcnttUMzNxMDPxMDPxMDPxMLMbKz09\nHT/4wQ8AADk5OQFdbylJEkaMGIHly5dj0qRJUKvVWLBgAX74wx8CCOyE8NWrV69v4EMkZBr8qVOn\nAui6IHbnzp24/fbbYTAYUFZW5vNRSHp6OkpKSgLev+ePS5Zl5bbEALxumOB2u7222e125V23y+WC\n1WpV9mOz2ZRfApfL5XUBjdVqVS7gcDqdyrYbVdtqtYZVbUmSkJGRAY1GM2i1PdsCPW7PtlCvbbPZ\nQqK2SqVCamoqdDpdn7V7/i4M5XEPpLbdbu+ztmebyLV1Oh0mTZoEt9t9XbUBBO24B7N2z+e8wazt\ncDgGpbYsy8jIyIBOpxvy2sE87mut3fM5bzBrO53OgGprNBqMHz9emYM/lLUDOW5/z7ci1U5JSUFU\nVBQyMjKQnJwMvV4Pt9uNjo4OaLVa2O12XLlyxev30G634+6770ZsbCwcDgdcLhdmzJgBSZIgyzLG\njBkDlUoFu92uHJvnBlue2k1NTejs7ATQtbTm9R73tfaRBoMBfRmyBv+zzz7DnDlzfP7l5uYqX/Pc\nc89h7ty5uHDhAl588UUAXRc+9FxDVq/X+9xyuC+VlZUAun74RqNRCaampkbZZrPZYDQalTAqKiqU\ntU87OzthNBqVYC5duqS8g2tpaUFhYaFS6+LFi2htbQXQtYTR5cuX/daura31qe35JemvdmNjo9/a\nhYWFSu3GxsaAatvtdp/atbW1fmtfvnx5wLVlWYbRaFTmyfVVu7KyEjU1NbBarWhvb++1dmtrq09t\nz13n/NXuftwVFRW91u553J4/ooHUvnTpkt/adXV1PrU9f7T91fYshdXa2oqLFy/6rX316tWAajsc\nDp/ano8be9YuLS0NqHZjYyNKSkqU7+ued11dHcrLy/0ed1VVVUC1TSaTT+3m5maf477W2mazGUaj\nUXlCvXz5MhoaGvzWLioq8vqZdz/R0L12fX29T23Pi/lAal+4cMFv7aamJp/angvGutf25N29dnV1\nNdxuN1pbW71ql5aWDkrtsrIyv7Wrq6uVFSh6Hnf32m1tbT61PXkPRm2LxQKj0ai8uPZVu7i42Kt2\ncXGx39oNDQ0+tT2vUZ6feSC1jUaj39rNzc0oLi5WXtyNRqOy0kf32k6n06d2VVWV39plZWUDqt39\nuLvX9qzF3bN2dXW1T23P62v32p7n+u61PVNwe9a+cOFCwLU9P3Or1epT23M30561S0pKvGoXFRX1\nW9vlcsFoNMJsNvvU9vyee553Aq3d0tLiU9tkMgVU2/Mz73nc5eXlg1Lb8/ras3ZNTY1Pbc/ra/fa\nHR0dPrW791Pda1+8eDGg2snJyaivr0dcXBycTifMZjOWLl2KUaNGITExUflds1qtyhgBeF1o29HR\ngZqaGmXMVVVVyv5NJpOyD1mW0dDQgL///e+orKzErl27lH327OXKy8uVXq7ncQ+kj/Tk3bOXGzly\nJPoiySH22ZHT6cTevXuxfft2fPbZZ9ixYwc6Ozvx0ksvKV/z9NNPIz4+Hps3b+5zX9XV1Vi8eDE+\n/vhjTJ06FbIsw2azQafTQaVSweFwQJZl6HQ65Z2dZ5vnbLJWq1Xeven1ekiSBJvNBrVaDY1GA5fL\nBafTqbwJsVqt0Gq1UKvVyl3Q9Hr9DavtcDiUd3HhUNtut6OoqAg33XQTVCrVoNT2bAv0uD3bQr22\nzWaDRqMJeu2Ojg4UFRVh+vTp0Ov1vdbu+bswlMc9kNp2ux0qlarX2p5xiVzb8wI5efJkxMfHX3Pt\nnn8DQ3ncg1m753PeYNb2NFjXW9tsNqOkpERZfGIoawfzuK+1ds/nvMGs7XQ64Xa7+61tNptx8eJF\nTJs2DVFRUUNaO5Dj9vd8K3LtEydOoLKyErfccgsyMzOV/e3btw8ajUb5pDAqKgqSJMHhcEClUkGt\nVitn3+vq6lBWVobMzEykpKRApVLB5XLB7XZDq9VClmU4HA4kJSVBrVajvb0dy5Ytu67jvtY+sry8\nHEuWLMHhw4cxbtw4nx44JBr8I0eOIC0tDZMmTVIeu/XWW/Hqq6+itrYWe/fuxUcffaRsW716Ndas\nWYPVq1f3uV9Pg5+fn4/x48ffsPHT4OnZgFLoY2biYWbiYWbiYWZD6/z58zh79izuu+8+r6VJDx06\nBJPJBIvFAq1W2+vNsdxuN5xOJ8rLy2EymTB79mxUV1f7bZ49DT8ArFy5EtXV1ZBleUh7TU+P21uD\nHxK/cQUFBfjlL3+pfJx6/PhxWCwWZGRkIC8vD5cuXcLx48cBAF9//TUqKyu9pvb0h3eQE4dKpYLB\nYOCToUCYmXiYmXiYmXiY2dCaNm0aRo8e7XPfgWHDhgEAYmNjkZKS0uv3q1Qq6HQ6jB8/HjU1Nfjz\nn/+MY8eOoaCgAC6Xy2vdfM9UYs+0sFOnTilTI4fKiRMn+tweEuvgb9q0Cdu2bcPSpUuh1+thMBjw\n2muvYfTo0QCAHTt24OWXX4bZbEZsbCzeeOMNJCQkBLx/LlElDrvdjsrKSuWiTQp9zEw8zEw8zEw8\nzGxoaTQaLFmyxOfxsWPHori4GCkpKUhMTERtbS3UarXP1zmdTjQ2NkKSJLS2tqKjowMPPPAA/vjH\nP+LEiRM4d+4csrKycMcddyAqKkqZMtPZ2YnOzs5ePxkIlpAYTWxsrHJRrT/z5s3Dvn37rnn/PIMv\nDs98NWYmDmYmHmYmHmYmHmYWGjxz6adNmwaNRoNvvvnG6y64HrIsw+l0Ijo6GrNnz1Yulh07diyq\nqqrw+OOP43//939hs9mUufSyLKO0tBQqlQptbW1wu90h84lNSDT4N1qovaui3mm1WqSlpQV7GDQA\nzEw8zEw8zEw8zCw0SJKE73//+4iJiYHD4VDecHmukfBc6Ox0OpGUlISkpCQkJiYq379w4ULlv2++\n+WacP38es2fPVvZ97tw5REVFobOzU5lpAnS9YQjmm7vQeJtxg4XAdcQUILfbjfb29j7vJEehhZmJ\nh5mJh5mJh5mFjpiYGABdb7q6r4I3e/ZsZWUcSZKQl5fn1dz3NGnSJGXZSgCIiopCVFQUgK6TyZ7l\nZTs6OnDy5EllCexgiIgG3/MxC4U+u92O4uJiZiYQZiYeZiYeZiYeZhaa4uLiAHTdKCozMxOLFi3C\nhAkTEBcXh+rqami12l7vaKtSqSDLst8TxzqdDjU1NXj//fdx5MgRtLS04MiRI7BYLCgtLR3yO+BG\nxNwVXtwiDr1ej+zs7JCZw0b9Y2biYWbiYWbiYWahKS4uDm1tbcqZ+sTERMybNw+yLMPtdqO2thZO\np7PX6d16vR5vvvkmkpKS8IMf/EB5XJIkFBUVISoqCu3t7coa+sePH0d9fT1iYmLw/e9/f0iOEYiQ\nM/i8wEUckiRBrVYzM4EwM/EwM/EwM/Ews9CUlJQEt9uN2267zetxT15xcXHKXbb9Wbp0KR5++GEY\nDAafs/IOhwNqtRp6vV65QVVDQwM0Gg1MJpMyhWcwTJw4sc/tEdHg8+MxcdhsNly4cEG5tTeFPmYm\nHmYmHmYmHmYWmlJTU7FgwQKf2R2evIC+TwxHRUVBrVbjO9/5Dv7+97/j7bffxjfffAMAGD58uPJ1\nBoMBGo0GWq0WKpUKUVFRKCsrAwCYzebrPo7k5OQ+t0dEg+9vvVMKTWq1GsOHD2dmAmFm4mFm4mFm\n4mFmoclgMCj3WerOk1dUVFRAn7qMHTsWhw8fxty5c1FTU4O6uro+v16SJDQ1NQEAvvrqKzQ0NFzb\nAQSIDT6FFI1GgzFjxnBpU4EwM/EwM/EwM/EwM7F48tLr9T53w/XHM50nMzMTd955JwoKCvr9nqam\nJhiNRlgsFhQWFl7XeK9cudLn9oho8LlElThcLheampr6nP9GoYWZiYeZiYeZiYeZiaV7Xp6lL3tO\nr7LZbF6PPfnkk9BqtdBqtQEtya7VamE0GtHR0YHOzs7rGm/35Tr9iYgG3+FwBHsIFCCHw4Gqqipm\nJhBmJh5mJh5mJh5mJpbueXnudDts2DDcdNNNcLlc6OjogEajQXx8PGw2G6xWa69n+quqqrxOLtfU\n1Chv9JxOJ1QqFTo7O+F2u7F3797rbvb9iYgGX6/XB3sIFCCDwYDs7GzlRhQU+piZeJiZeJiZeJiZ\nWLrnFR0dDafTibS0NIwZMwZWqxXp6ekYPnw4Ro8eDafT6TNPPyoqCu+99x5MJhP27NmDgwcPor29\nHQDw3nvvobKyEkDX0u06nQ5WqxVFRUWwWCzYvXv3gC/G7u8Tg4ho8ImIiIiIAhETEwO73Y6MjAwM\nGzYMLpcLc+bMQW5uLlJSUiDLMhISEgD83yyR8ePHIyEhAbt27UJKSgri4+ORn5+P+vp6pKen4/Ll\ny1413G43zp49C51OB71ej6KiIsiyjNOnT3t9XU1Njc/4KioqcObMmT6PISIafC5RJQ6r1Ypz587B\narUGeygUIGYmHmYmHmYmHmYmlu55paenY9KkSTAYDFCr1bjnnntgMBigUqkwcuRIGAwGDBs2DEDX\nkpd2ux0zZ87E3XffjcWLF+PWW2/F/PnzYbFYcPr0aSxfvtxnzfzo6GjlAmy1Wo2ioiJ88803+Pbb\nb73upPvVV1/59LGVlZX9LgEfEQ1+IFdDU2jQarUYN24cMxMIMxMPMxMPMxMPMxNL97yGDRuGf/iH\nf1C2xcbGKv+t0+mQlZWFxMREOJ1OJCcne03ZSU9PR2pqKgBg0qRJaGhoUN4MdCdJktddjt1uN4qL\ni6HT6VBeXq487nQ6cenSJa/vbWpq6ncBmYho8HmbaHGo1WqMHDmSS5sKh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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "raw.plot_psd(tmax=np.inf);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## ERP analysis\n", "\n", "We expect a noticeable ERP response both at the onset and offset of the grating presentation." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Setting up band-pass filter from 1 - 30 Hz\n", "480 events found\n", "Events id: [1 2 3 4]\n" ] } ], "source": [ "# Bandpass filter\n", "filt_raw = raw.copy().filter(1, 30, method='iir')\n", "\n", "# Extract epochs\n", "events = find_events(filt_raw)\n", "event_id = {'Low (start)': 1, 'High (start)': 2,\n", " 'Low (end)': 3, 'High (end)': 4}\n", "\n", "epochs = Epochs(filt_raw, events=events, event_id=event_id, \n", " tmin=-0.1, tmax=0.8, baseline=None,\n", " reject={'eeg': 100e-6}, preload=True, \n", " verbose=False, picks=[0, 2, 3, 4, 1])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Onset" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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RBQsW4PP5vnQjfr+fBQsW8POf//yYBieEEEKI76+QGaJhf7IE0Jrw4TcDHRqTEOL7p90e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\nVjSCUorIzu34Viw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qz+b0qgIysruS0v9kHJ27JBNgQ0/mm/EYVjhMOOynOVxH9JMtWDt2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\nMa686kp+evtP8biOPXfCVCbNrc2U7y3HNE1GjxiN6wQkmp8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DDz7It7/97S4LTgghhBBC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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Time domain visualization\n", "conditions = OrderedDict()\n", "conditions['Low (start)'] = [1]\n", "conditions['High (start)'] = [2]\n", "\n", "fig, ax = utils.plot_conditions(epochs, conditions=conditions, \n", " ci=97.5, n_boot=1000, title='',\n", " diff_waveform=(1, 2), ylim=(-24, 24))" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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JifbQQw/ZK6+8YnfccYd1q1bNHpPsBcnGSHarnAHcXdx2lzY+oKKqW7du9tpr\nr9mGDRssLS3Nli1bZvfee69Vr179hMs2adLEJk6cWGSHxczp0tWrVy9rKdnNkv0xKsqevvFG+2nT\npvyZ0tLMxo41C+reEaiUFEt/9lkbftttIX//nEr5fD679NJL7ZVXXrHZs2fbxx9/bDNnzrTXp0yx\n1x56yKYMHGijGzSwUXK6LA13t9UBkvVxr38sZ4xE4b/RHMkuk9OFsbiz0JVUsXLOgNRPsvaSNUtK\nshtuuMHuvfdeGzBggMXExJjc7dH/xcOPkp3hLj86qA3DyviYtWrVshYtWlijRo0sOTnZEhMT7fzY\n2MDz+lwFT1TQVc5ZmQoHpeP165uNGGG2Y4d9+OGH1qRJkwp5nZKSkmzMmDGBsWfBO+yZmZnFhpG8\nvDy7+eabTXK+BFnttnF/TIwdDfp8+y4ysshJB6ZOnRpYT3A4W758uSUkJJgkq1atmr35+utmP/5o\ntmmTMx7PzMaPH19gXe0ku02yEXXr2tZivgw6cOCAjRkzpsg4ouIqMjLSOnXqZDfccIN17drVfD6f\nPRD09+9bSe8TivoVVcgbQFFVpmJiYuz666+3v/3tb3bzzTcXOTtKWSpOspeGDTvhN6wlVWRkpD3w\nwAN2+PBhs+PHLXv2bFs+YIA9HBFR7kHfhau+nLPo2AkqS7JbCi3br18/+/zzz+3wgQO24aGHbE3d\nurZWzlGfET172qJFiywjI8MWL15sPXv2tBg5Y0AelWyIZA2io+2xxx6zDRs22Lx586xHjx4hf729\nrKSkJHv00Uftiy++sCVLltiDDz4Y2IEqrpo3b25dunSxDh06WOvWra1106Y2okULe6tVK3unc2d7\nvF8/+127dpzOM6gS5ASSO+SccalRofvLEz7KU5cqPwBkyhkLYW69XQHrvzFofbvlfHGwVgXfs+mS\nTZETxk6Li7OzzjrrlE/DXVL5fD5r1aqVderUyerVq2dS/tG+uXPnBnbot27daoMGDSqw7DluW4Pb\nvkQq9vMyISEhMNYtOHgUd1a+m266yWbMmGEffPCBDRw4sNT216xZ0x5++GGbO3euzZo1y+6+++5S\n34tlqSjJVgY9p01yTq0e6vcERVXRCnkDKOpXVxWxkxMfH2/t2rUr0zdx5aloyYbK+UZ4mwqeeStH\nsllyvukN9d+Qoiq6Kit8SM5A8sKnl/1Azrf9FbH+oSr+9MCr5Az4rkqnbq5fv76lpKQETj1euFIk\n+5ecz6Dy6aLsAAAgAElEQVT7VHyXR3/FxMTYyJEjbcqUKXbXXXeVuM6qUGeo4JHjsVWgTRRVFYtf\nOAeqqIyMDK1atarC15sjabJbftXl/IrvQUmZFf6IwK/fUkmtJA2WVE/SMkmzK3D9kyUtkPR7SS0l\n7ZD0ofs4Vc3u3bu1e/fuEu9fL+mGMq4rOztbf//73yukXZVtg6SzJQ2UdFTSzNA2B6iyCB8AlO4W\ngJN3RNKkSlz/JklPVOL6ceoOSHoj1I0AqriIUDcAAAAAwG8D4QMAAACAJwgfAAAAADxB+AAAAADg\nCcIHAAAAAE8QPgAAAAB4gvABAAAAwBOEDwAAAACeIHwAAAAA8AThAwAAAIAnCB8AAAAAPEH4AAAA\nAOAJwgcAAAAATxA+AAAAAHiC8AEAAADAE4QPAAAAAJ4gfAAAAADwBOEDAAAAgCcIHwAAAAA8QfgA\nAAAA4AnCBwAAAABPED4AAAAAeILwAQAAAMAThA8AAAAAniB8AAAAAPAE4QMAAACAJwgfAAAAADxB\n+AAAAADgCcIHAAAAAE8QPgAAAAB4gvABAAAAwBOEDwAAAACeIHwAAAAA8AThAwAAAIAnCB8AAAAA\nPEH4AAAAAOAJwgcAAAAATxA+AAAAAHiC8AEAAADAE4QPAAAAAJ4gfAAAAADwBOEDAAAAgCcIHwAA\nAAA8QfgAAAAA4AnCBwAAAABPED4AAAAAeILwAQAAAMAThA8AAAAAniB8AAAAAPAE4QMAAACAJwgf\nAAAAADxB+AAAAADgCcIHAAAAAE8QPgAAAAB4gvABAAAAwBOEDwAAAACeIHwAAAAA8AThAwAAAIAn\nCB8AAAAAPEH4AAAAAOAJwgcAAAAATxA+AAAAAHiC8AEAAADAE4QPAAAAAJ4gfAAAAADwBOEDAAAA\ngCcIHwAAAAA8QfgAAAAA4AnCBwAAAABPED4AAAAAeILwAQAAAMAThA8AAAAAniB8AAAAAPAE4QMA\nAACAJwgfAAAAADxB+AAAAADgCcIHAAAAAE8QPgAAAAB4gvABAAAAwBOEDwAAAACeIHwAAAAA8ATh\nAwAAAIAnCB8AAAAAPEH4AAAAAOAJwgcAAAAATxA+AAAAAHiC8AEAAADAE4QPAAAAAJ4gfAAAAADw\nBOEDAAAAgCcIHwAAAAA8QfgAAAAA4AnCBwAAAABPED4AAAAAeILwAQAAAMAThA8AAAAAniB8AAAA\nAPAE4QMAAACAJwgfAAAAADxB+AAAAADgCcIHAAAAAE8QPgAAAAB4gvABAAAAwBOEDwAAAACeIHwA\nAAAA8AThAwAAAIAnCB8AAAAAPEH4AAAAAOAJwgcAAAAATxA+AAAAAHiC8AEAAADAE5GSHg91I4Bf\no61bt4a6CQAK4X0JAKHlk2ShbgQAAACAXz+6XQEAAADwBOEDAAAAgCcIHwAAAAA8QfgAAAAA4AnC\nBwAAAABPED4AAAAAeILwAQAAAMAThA8AAAAAniB8AAAAAPAE4QMAAACAJwgfOKHevXuHugkAAI/x\n2Q+gMhA+cEKpqamhbgIAwGN89gOoDIQPAAAAAJ4gfAAAAADwBOEDAAAAgCcIHwAAAAA8QfgAAAAA\n4AnCBwAAAABPED4AAAAAeILwAQAAAMAThA8AAAAAniB8AAAAAPAE4QMAAACAJwgfAAAAADxB+AAA\nAADgCcIHAIShRyTtldQ11A0BAKAcCB8AUIrevXuHuglF1JA0VlJtSc+GuC0AAJQH4QMASpGamhrq\nJhRxTdB0i5C1AgCA8iN8AECYuS5oup6kpFA1BACAciJ8AECYaV7oevdQNAIAgJNA+ACAMFOn0PUu\nIWkFAADlR/gAgDASKamWO33QvWwZorYAAFBehA8ACCO1gqa/ci+bh6AdAACcDMIHAISR2kHT/vDB\nGa8AAOGC8AEAYSR4vIc/fDSUFBOCtgAAUF6EDwAII/4jH9mSfnCnIyQ1DU1zAAAoF8IHAIQRf/jY\nJ2lr0O3NvW8KAADlRvgAgDDi73a1T1KWpJ3udcZ9AADCAeEDAMKI/8jHXvfyR/eyufdNAQCg3Agf\nABBGgrtdSfnhgyMfAIBwQPgAgDBSOHz85F4297wlAACUH+EDAMKIf8xH4W5XHPkAAIQDwgcAhJFE\n9/Kge/mTe1lfUjXPWwMAQPkQPgAgjMS7l+nu5Y9B9zX3tikAAJQb4QMAwkice5nhXm6XlOdON/e8\nNQAAlA/hAwDCiP/Ihz985Era4U4z7gMAUNURPgAgjBQOHxJnvAIAhA/CBwCEiShJMe50cPjgjFcA\ngHBB+ACAMBEXNM2RDwBAOCJ8AECYiA+aPhY0zZEPAEC4IHwAQJgIDh/FHfmoI+k0z1oDAED5ET4A\nIEyU1O2K3/oAAIQLwgcAhImSjnz8LCnHnW7uWWsAACg/wgcAhImSwsdxSdvcacZ9AACqMsIHAIQJ\nf/g4Limr0H3+rlene9ccAADKjfABAGGiuB8Y9FvvXrbxqC0AAJwMwgcAhAl/+DhWzH3r3MszPWoL\nAAAng/ABAGHCf7ar4o58rHUvm0qq7k1zAAAoN8IHAISJ0rpdrQ2aTvGgLQAAnAzCBwCEidLCx05J\nh91pul4BAKoqwgcAhInSwofEuA8AQNVH+ACAMHGi8LHKvezgQVsAADgZhA8ACBMnCh/fupcdPWgL\nAAAng/ABAGHiROFjpXvZWFKdym8OAADlRvgAgDDhP9Vucb/zIUnfBU13quS2AABwMggfABAmTnTk\n44ikje404QMAUBURPgAgTJwofEj54z46V3JbAAA4GYQPAAgTZQkfX7iX51RyWwAAOBmEDwAIE/7w\nUdKYDyk/fLSQlFy5zQEAoNwIHwAQJmLdy8xS5vlGUp473aVymwMAQLkRPgAgTPjDxxXXXacLL7yw\n2HnSJa12p+l6BQCoaggfABAm/OGj70UXafbs2Ro8eHCx8zHuAwBQVRE+ACBMxEVGOhOxTgy56qqr\nip2P8AEAqKoIHwAQJuILhY++ffsqKiqqyHxfupe1JbX0pmkAAJQJ4QMAwkRUnjOU/NMlSyRJCQkJ\n6t69e5H5Vin/jFgMOgcAVCWEDwAIAzGRkfK54eOzpUu1bt06SVJqamqReXPlnPVKousVAKBqIXwA\nQBho06JFYHrzjh369lvnt8zPPPPMYudn3AcAoCoifABAGDirdevA9E+7dmn9+vWSpJSUlGLn94eP\nzpKKjgoBACA0CB8AEAbObJk/dDw9L69A+PD5fEXm94ePeElnedA+AADKgvABAGEgpXnzwHSWFBjz\nUb16dTVq1KjI/Fsk7XOn6XoFAKgqCB8AEAZaN20amM6WtGHDhsD1E3W9InwAAKoKwgcAhIFGdeoE\nprMkZWRkaPv27ZKkNm3aFLuM//c+ON0uAKCqIHwAQBUXGRmp2qedFrie5V5u3LhRktSyZfE/Jeg/\n8tFOztgPAABCjfABAFVc/fr1Fen+xoeUHz78Rz6aNGlS7HL+Ix+Rcs56BQBAqBE+AKCKa9SokZSV\nFbhe1vCRJuknd5pxHwCAqoDwAQBVXOHwkeNenih8SPlHP/6rktoGAEB5ED4AoIpr2LBhIHxkSzL3\n9m3btkmSGjRooKio4n9K8Hv3kt/6AABUBYQPAKjigo98ZAXd7j/yERER4QSUYqxyL9uIXzoHAIQe\n4QMAqrhGjRpJ2dmSig8fUsldr/zhI0ZS68ppHgAAZUb4AIAqrqQjH4cPH9bhw4cllRw+tkg65k7T\n9QoAEGqEDwCo4gqP+Qh2okHnxyWtdafbVU7zAAAoM8IHAFRxycnJxR75kKQdO3ZIco+OlGC1e9m2\nEtoGAEB5ED4AoAqLiIhQUlJSieFj586dklTigHNJ2uBelnfMR3R0tAYOHKh69eqVc0kAAIpH+ACA\nKqxWrVqKiIgoMXzs2rVLknO63ZKcTPhISEjQvHnzNGPGDH3zzTdq2bJlOZYGKlZjSZ9KelVSrRC3\nBcCpIXwAQBVWp04dZ6KYs11JZTvysdG9rC6p5LkKeuCBB9SrV6/AuqdOnVrGJYGK95SkPpL+KOnD\nELcFwKkhfABAFRYIHyUMOPeHj9KOfGwMmi7L0Q+fz6fBgwdLkjZv3ixJ6tatmzp27FiWJgMV6nRJ\nvw+63kPSGSFqC4BTR/gAgCqsdu3akqTcjAxJJXe7iouLU2JiYrHrOCpptztdlvDRu3dvNW3aVJI0\naNAgbdq0SZJ0++23l6fpQIW4WlKkpDRJh9zbBoauOQBOEeEDAKow/5GPrEPObldJ3a6kiht0ftll\nl0mSvvvuO61atUpTpkyRJF199dXy+XxlajdQUc5zL2dLet+dvjxEbQFw6ggfAFCFBcKH+2OChcPH\n7t27A9Nl6XpVlu4q5557riRp/vz5kqSZM2dKkurVq6ff/e53ZVgDUDF8ks51pxdLmuVOd5UUE5IW\nAThVhA8AqML84SP76FFJRcNHdna29u7dK6lsg85PdOQjLi5OnTt3liQtWbJEkrR69erAEZb+/fuX\nvfHAKWqr/LNbLZb0lTsdLemskLQIwKkifABAFeYPHznp6ZKKDjiXyna6XX/4OF3Ot8kl6dKli6Kj\noyXlhw9Jmjt3riTCB7zV3b3cL2mdpK2SDri3cfoDIDwRPgCgCvOHjzw3fBQ+8iGV74cGq0lqUsrj\nde/u7O5t3rxZe/bsCdzuDx89e/ZUXFxcmdoOnCp/J79vJZk7vdK9DFX4uFHSEkkLVPp7CUDxCB8A\nUIUFwsexY5JOPnxsDpoureuV/3S6X375ZYHb582bJ0mKjY0N/P4HUNnau5c/BN32rXvZyeO2SFJv\nSf+Uc7rfVEnT5JyJC0DZET4AoArzhw/LzJRUfPgoS7erY5K2u9OlDTrv0KGDJOdMV8F++eUXffPN\nN5LoegXvtHMvVwXd5j/y0cHjtkRImqyCO07nyTkSAqDsCB8IK5dIujjUjQA8FPiRwVLCR1mOfEgn\nHnRerVo1nXGGE02+//77Ivcz7gNeqi/J3foLHPlY417WkFRy3K54lyr/vdNZ0kx3+mYP2wD8GhA+\nEDbulvShnFMtXh3itgBeiIqKUq1a7rl+sp2h5ic74FzKDx+tSri/Xbt2iox0OpEUPvIh5Z96t127\ndkpOTi71sYBT1T5oenXQ9Iag6RSP2iI5/4Mkab6crl9vuNf7Sio99gMIRvhAWGgmaWLQ9cmSaoao\nLYBXkpKSAtMROTmSSj/yUdqvnEv54z5alHC//zc89u3bp59//rnI/UuWLFG2G4JSU1NLbTtwqvxd\nrrZISg+6/Ygk/9bpVfhoIamfO/2iezlL0kE5O1JXetQO4NeA8IGwcIUKDupLlHR+iNoCeCXQ5UpS\nRG6upNKPfEild73a4l62LOH+ksZ7+B07dkwrVqyQJPXp06fExwEqQscIZxeldmqqZs2apfPOOy9w\n33r3so1HbbnJvfxFzhF4yfkiYK473a/IEgBKQvhAWBjkXr4paZE7XRV6nTeWdLZK/90E4GQFh4/I\n48clnTh8lNb1yh8+4iXVK+Z+f/gobryH34IFCyQRPlC5YmJidHlLJybXPPdcXXzxxfrkk08CAWSd\nO59XRz784zqmScoNun1rK6cT46XVq+u2W27xqDVAeCN8oMpLknNGEUmaofxvmkIdPibIOXvQV5Km\ni9MtouL5w0d6erqizPmVg+LCR1l/5fzHoOnijn6c6MiHJH322WeSpDZt2qh+/folzgecivFPPqma\nbte/LzIy9PPPP6tatWp6++23Vb16dU+PfPRQ/jipN4Ju79ixo+6aMUOSFJWern/ccYceeOABD1oE\nhDfCB6q8HnJ27PPkBA9/+GiukruPVLabJY0Kun6tpDEhagt+vfzhY+/evYpxbysufEhlG3R+UPm/\nDl34vdO0adPAeJHSwseyZcuUleWMPGHcByrDueeeq3sHDpTc37YZ8swz6tevn7Kzs9WwYUPdd999\ngSMfzeT8cGZl8h/1+EH5vzESFRWl6dOnq1rbtspr1sy58dNP9eSTT6pLly6V3CIgvBE+UOV1dS9/\nkHRUzod/pntbKH5kKkbSeHd6oZyuYJJ0jyTO/4OKVFz4yClh3rKebrekcR/+wea5ublas2aNSpKZ\nmally5ZJousVKl5ERIRefPFFRax2zm+VLefsVuvXr9eLLzpDvUeOHKkd8fHO/Cr9RzNPVbyk69zp\nN4Nuv/XWW5WS4nT6+vjoUUnS0dmzFRUVpaeffroSWwSEP8IHqrxu7uVy9zJX+T841dH75uhmOadV\nzJP0BzmnXzwoqbqkESFoD369TubIx8mGD3+Xq/Xr1weObJSEcR+oLEOHDlXHjh2lVc6n/Drlj7GY\nMGGCsrOzVaNGDfUePFjH3Nsrc9zH7+Wc4CRbzi+bS1JkZKQeeeQRSdL06dP1/r59kqSIpUul3Fz1\n7NlTF1/ML1IBJSF8oEqLkHSOO91g0CC9+eabeu6553SstfNdVyjCx13u5TtyduQOSZrk3narGPuB\nihMIH7/8omj3tpLCh//Ix4l+6+NE4aO0Lld+/vDRunVrNWrU6ITzA2VRq1YtPfXUU5KkrR8655QK\n/nHBtLQ0vfPOO5KkYcOHB37vozLHffg/79+VtMedvvLKK9XM7Wo1ZsyYwElQ4vPy9PWUKZKk8ePH\ny+fjVCRAcQgfqNLayPkVW0m6fNw4DR48WHfffbd63uX8S+hft666detW4vIV7b8k/c6dfjHo9v9z\nLxso9APh8evhDx/70tICH9aVfeSjLOFjxYoVOub2x2fcByrKmDFjVLt2bR09elQ53zqjK34oNM8r\nr7wiSWrfvr1213R+7amyjnz0Uv4PHQZ/3o8Y4Rzj/uijj7R27VptluQ/39zn48ZJcrox3njjjZXU\nMiC8ET5QpY3wB4uaNbW7Zk1Nnz5dCxYs0JHTT5ckxaSl6fP339f553vzqx+3u5frJC0Nun2jpLXu\nL1H/84ILNHv2bD322GOBb8eAk+EPHwfT0gK3VdSRj8aSYt3p+Ph4tXJPGVqW8JGdna2lS513AF2v\nUBHat2+vYcOGSZImPPGEWri/a7Oq0HxLly7Vtm3bJEnVO3eWVHlHPv7Hvfxa+d1+e/bsqe7du0uS\nnnnmmcC8/qMfTbdu1X/+8x9J0hNPPKGoqKhKah0Q3oyiSqvRo0eH5HHPPPNMyxkyxEyyfV26WM2a\nNQP31ZTM/PXJJ3bgwAGrX79+pbYnXrJD7mOODLo9ISHBZsyYYfbSS057qlc3S083M7Ps7GwbP368\nRUVFhfx1pE6uQrX9S7ItW7aYmdkI931gknUtYd5u3bqZX2JiYonrbKn8906Ke9s555wTWLZBgwZl\natvDDz9sZmabNm0K+WtEVU55ue3Pnj07sD2dEx0d2EabFjPvhAkTzMxsz8SJZpIdroT2NJIsx23D\nrUG3f/jhh2Zm9vXXXxeYf7g7b5pk7c46y/Ly8szMbOjQoSF/HSmqClbIG0BV8QrFzldERIQtWbLE\nrH17M8n+GhdXZJ5Ncj7s08eMMTOzF154oVLbdLP7eNmS1XVvS0hIsOXLlzt7bbt32/GICDPJ5g4d\nart37w7s0M2ZM8fiinkOJ6omkr0m2feSfSrZHyWLqALbxG+pQhk+Dh06ZGZmf7j00sDOWKcS5m3W\nrFlge2vbtm2J64ySLNdd10XubUOHDjUzs7S0tDK3rVevXoHHq1u3bshfJ6riy6tt/4ILLghsS1de\neaUNlrN9Hiph/k6dOjkzf/VV4H3RsILb9Li73r2SVXNva9euXaCd1157bYH52ys/1LeRbOrUqWZm\ntm3bNouNjQ35a0lRVaxC3gCqilcodr6GDx9udviwmc9nJtmAYuZ5T84H/ddnnWVmZllZWdawYcNK\na9NS9/Hed6/Hx8fbokWLAv+Mhg8fbp+487wnWbVq1WzixImB+z/66KNij4DExcXZyJEjbdGiRbZw\n4UKbMGGCderUyc6W7ICCjvC4ta9tW3vpySetW7duId82fgsVqvARExMT2Hau6dEj8PqfVYb5+/Xr\nV+q6f3TXdad7/eWXXzYzs08++aTM7YuPj7ecnBwzM7vssstC/jpRFV9ebPsRERH27bffmpnZ0qVL\nTZI9J2f7XFTKcuvXr3f+R7jz9qnANkVJttNd71+Dbn/zzTcDR2ciIyMLLOOTbL+7zB2StWrVKvD+\nuOeee0L+WlJUFauQN4Cq4uX1zleTJk3s8OHDZp98EvjHklTMfI+4963y+Wzfvn1mZvbggw9WeHsS\nExPt5cGDA215sHNnS01NtS+//DKws/fHP/7RJNnt7jwZkp3mLj9y5MjAfP/4xz8KrLtVq1a2atUq\nK+KXXyy7fn0zyfJq1TL785/Nrr46P4ScfbZZRoZ9/PHHdvrppxdYZ0REhF111VU2ffp0W7Zsmc2c\nOdPuvPNOi4+PD/m2FI4VqvDRoEGDwOZwUUpK4LVvXcoye/fuNTOzwYMHl7ru+e66/u5eX7lypZmZ\njR07tlxt/Oabb8zM7Kmnngr560RVfHmx7d94442B7bxHjx4myb6Qs31OKGW5xx9/3MzMct3PyWEV\n2Karlf9lz+nubR07dgx0pbrjjjuKXe59d5l/u9cnT55sZmZ79uyx6tWrh/z1pKgqVCFvAFXFy+ud\nL3+f2vQ//ckJFyXMd6mcD/ocyV559lkzM1u7dm2FtqVmzZr2w/ffm110kfPPqH17s+PHC+SEu+66\nKzB/kpxuWSbZjUHr8fdRNjN7+umnLSIiwlJTUy0tLc35B5qba6+//rpNnDjRNm/ebHbHHc7jxcWZ\nuTuGGzdutM+GDLHj7tEgu+UWMzM7duyYjRs3zrp27Wq33nqrrVmzpmiYMbNffvnFHnzwQboAlLNC\nFT7at28feO3OS04O7Aw1L2WZ77//3szMRo0aVeq6Jyv/KF5CQoLl5uaamdnFF19crjZOmjTJzMzm\nz58f8teJqvjyYtv3b7P/+c9/THK6OPk/Q68oZbm2bds6b46+fc0ke7YC2/Sp+/gfu9cjIiJs8eLF\nZma2fv16i4mJKXa5/3aXOyhZpJwv0jIzM83M7KGHHgr560lRVahC3gCqipeXO1933nlnYIdrdd26\nZpK9XMK8jZX/7dTNbtcrM7Ozzz67wtrz7rvvmv3734HH+XH8+MDjrFu3rtidtVnuvDOCbvP5fDZt\n2rTAsunugHQzs/3791vv3r0D87ZW/kDHxZdfbsOHD7dWrVoF7v9z0PPe/9JLxQYNM7O5c+fa448/\nbv/6178sKysrcPvGjRvtwv797TQ5/yBDvX1V9QpV+OjTp0/gNesUFVWmvu3+QbsnGv/0kLuulZL1\n69cv8DhJSUnlauPNN99sZmaHDx82n88X8teKqtiq7G3/wgsvDGx7/m6kPZT/+dbgBMuvXbvW7M47\nzSSbXUFtCv6/MtC97cEHHwy0c8CAASUu2yJo2R7ubc8991zgcz74pCnlrdMkiy7DfBERESHfbiiq\nDBXyBlBVvLza+eratWtgJ/mDt9+2DBU9glC49rnz/EGyTZs2mVnFdQHp2rWr2fffm9WsaSbZPPf2\nGjVqWKNGjUpczj8wPUvOWbn8t0dFRQW+KfZbuXKlpaSkFFj+HXf5bcof6BhcPsnmuPMckOzF++8P\ndLc5duyYffDBB9a5c+cCyzRu3NheeOEFy83MNJs40axp08BZYl5V/gB6qmiFKnxcc801ZmZ26NAh\n66T8nZo6pSzzkhtGP/roo1LXfZ27rsOSPfrII4EwXd42Bg/ADQ7I1K+jKnvb/+CDD8zMbPHixYHb\nRsnZNreWYfmnnnrK7LnnnC+GKqhNw5Q/2D1asgEDBgSODE6ePPmEy290lx/vXq9Xr17gy6bydmuU\nnJOOzHTXmSvZgnr1bOiFF9o111xj11xzjV177bU2ePBgmzhxoi1fvtyys7Pt2LFj9uGHHxb5Ii5e\nsvskmybnSNE5VWAbo36zFfIGUFW8vNj5Sk5Otm3btpmZ2YYNG+yi+PjAzlaTUpbz911/XrK//vWv\nZlZxXa+WPP+8We3aZpLtUendXYKrhmSZbrtuKeb+9u3b2/Dhw+3CCy8sMgD9HOXvZN5aymM0kHMW\nFpPsc8nifT5LTk622NhYi5GsnVtxQcucIdl3QX/X4Nor2YUebEvhWKEKH8OGDTMzs82bN1vXoNeq\nRinLjBgxIvAeKm3dXYLW99XHH5uZ2SuvvFLuNkZFRdmxY8fMzOyaa64J+WtFVWxV5rZft27dwIDs\nm2++OXC7v8vTlDKso3PnzmZz5wa25YRS5v39739v69ats59++skee+yxEo8QfOyua7qcz+rDhw+b\nmdl3331XpnEbE9zlNwXdNt49Yn7kyBFLTk4u898oWbItQUc9A5WYaOYGN/efntk995g1bGjWrJnZ\n7bebrV9vWVlZgfGIF0i2pfB65PQsiK0C2xr1m6uQN4CqwKon2WVyzg5V2k5Keaq4f0BdJLtBxZ+D\nvbwVFRVlCxcuNDOnO1L79u3tr3I+GFefYNmnlX9WlO7duwc+i9u0aXNKberTtKlZnf/f3n2HR1Gu\nbQC/s+lAAClSpAmiHhQlCFIUAaWDiCgWjoqKVJWDinrUT4MeD4oHBdGgKBYQAVEBUUR6KMJBDyJN\nEaT3Kj2FJPf3x5Sd3WySDSS7m+X+Xddz7WZ2yrszk9l5Zt73nQokwJPR0WxYwOlnmOWaV8DpFpnT\nrUP+XereDvcPyFIYPRd9DvCkY3gGjMab8+GuykWAqxMTmTV3Ljl8OLMSEoyG7TAa8UcU0n4TLhGs\n5OPFF18kSa5cuZItHNvO190wK2699VaSxvNl8nq2THnH/Gh2Fd2hQ4dzKudPP/1Ekhw2bFjQt9WF\nEhEALwJ4HYyul2OKaDlFue8/+eSTdpU9qzOMBLjbe9zl53x2OLrbvTGXcay7iE4TJkzIUVUwAcYd\nawIcWKYMd+zYQZLcu3cvq1ev7ld5roP7f8vqFvuiiy7isWPHSBpt/vxdR0vKlTPmFRNjPEcqOZm8\n6Iazbs0AACAASURBVCL38b1FC55t1sznBaXsqChywAByyhSuv/Zaj9+E6QB/d4z7W0ICb6hZMyj7\nsuKCjaAXQFHAuARgS69h5QB+As8TzFSA/wZYMo95xcfHs0mTJnkeWJ0/QKVhHLisZWQAfOE8v8+7\n775r/yDcc889BMCN8Lx1nVs4+4N3Ady7dy9J8vnnnz/n8rgA7qta1TghL1OGiV5dKvoT3RzrqI6f\n09zqmKazn9M8i5w/OnnFbrif7dCmTRv+9ddf5NatzGrQwB5nJtw9dSmCl3xYdcVnzZrFWxzbMK92\nOn/729/s/6XatWvnOX/rgZmcNIknTpzItRFtfvHBBx/4VdVLcf4RDXAVcv5f74f7/7owoyj3fauX\nP2dVJuu4mQkjufJnPm+++SZZrRoJcJCPzytWrMijR4+SJNeuXcsZM2bY/yMvvPCCx7h3wN2JyS/z\n59sXxArajtB6BtXbjmHWxYTU1NQ8q+1a8UilSvb2PTl6NPv3789LLrmEtVwuLvOxD+wC+C8Y7bl2\n+ficANeWKME2lSrxgQce4PQvv2TGc8+5P69UiTsnTeIjjzyi9luKQETQC6AoYKyFcbCYCLAewIdg\n/PgQ7gM34XlQusPHfPr17s3jv/9Omt0HLly4kA0aNMgxnvUDFAP3lXnvePYcv8vtt99u/xAMHz6c\nAPg3x3yb5TO988FOdeDufed///vfOa/f/pGR9jw/79XrnOYRBXCPOY//+DF+Aow2HjTXcUGW1R3G\n3Y29AFNg1Fm+FGBNGD/mwwG+a+4n3lfNr7jiCm7atIk8c4Z88EH7e/8M45Z/sPf1UIhgJR/WQ8rG\njx/PDuZ2ycpnmtjYWLs70Hbt2uX4vFSpUmzYsCFLlizJNVavaa++ys8+++ycy2lVD9u3b1/Qt1W4\nRwKMdjr0EZkAWxTy8nzt+1VhdHoxBv5fJPGOxo0b28d9q3tdAJwM951sf+fVvHlzsmtX48LJRRfl\n+HzYsGEkjbZT1kn/J598QpLMysry+D8Zby7/8DXX2J9369atwN/P6hTkGNwX/xISEnjo0CGS5MSJ\nE/OcvnRCAlMvv9y4wNe8OS+vW9fj8ygYbSEnwKg2dRs8L0qUgPGbvBlgVmQkWa8e+c47pNl2xcOM\nGaR595tRUeR773HpkiV+JUgKxblGFKTYmQ+gPoC/m2HJiI7GwtatsapRI0RmZuKGH39E8xUrUC07\nG18B2FO1KrbUro3os2dx+cmTKD9pEvDRR0CFCsDzz6P1oEFYtWoVli5diiVLliArKwsA0KpVKwBA\nl2+/RaNffgEA/NC+PVY1bIg7v/4aV2zahNcBNLzzTvx21VV+f4+4uDg89thjAIBt27YhNTUVSUlJ\naD9nDvDf/+JEQgLaDx6Mdi5XrvNwZWUhY/hwxJw9ixG33YYTJUsCAK677jqMHDkSx44d87s8ABCR\nnY2nx4wBjhwB77kHBxs0QFKtWgWah2XTokWoumQJHo+JQeYTTyAtLi7XZd49dSqq//EHMiMjsb5/\nfyRVqFCgZc1yvL8YwAOOv8+YUQPAsz6mnTZtGu666y5c+vHHQGIiOHgwGpH4vVw5THjgARwvUybH\nNNFnz+KKjRtR7q+/sLdqVWypUweMiMi3nC6XCzVq1EBcXBy2bt2KjIyMHOOkpKRg8eLF+c4r3FUw\n94HDhw8jxhyWc215Sk9Px65du1CzZk1cdtllmDt3rv3ZgAEDMGrUKMTExCA9PR2Rd90FzJyJ7C1b\n8Mr48QUqW20AHwDYAmDmypUAgMqVK6Ny5crYv39/geYl/jsJ4DIA1wI4BWArgEoApgD4G4DPAVxl\njpeXiIgItGrVCnXr1sX69euxfPlyv5bfBMBMGMcYABhgLvtBAOkF+B4PPfQQAOCPP/6wl10awG3m\n558XYF4rVqzAX4MG4SIATWNjPT4rW7YsHn30UQDAO++8gz179hjlHjAA1157LRITEzF58mS0atUK\nv61bh87mdOUffBAAMHjwYMyYMaMApTGMA5AEoAyAXgDGADh58iSSkpKQnJyMv//97/j8888xe/bs\nHNNGRkZi4ZNPIu7llwEAT6alYdPmzR7jZAKYZIYvZwAMNwNZWejVuDFe7dYN1SIjAQBpaWlYsGAB\npk+fjh9++AHl09IwMy4ONdPSgAEDcGO/fvh55Uq079gR69atK/D3F8lPBIwsRIqZZwA8B6AsgGwA\n0wA8DWC713h1YRz42vgxz5NduiBhxgwgMhLr16/H4MGDsWDBAiQlJeGPl1/GZHO8VwG8aL6PBbAI\nQDMYB7zWAH4CEAWgKoC9MA6UvvznP//BkCFDcObMGdSvXx9bt25FLIA9AMrDOHi/4ke5ZwPoAGAC\ngN5RUdi3bx8qVKiApKQkvPKKP3Nw62DODwCWvv8+burfv0DTO1UAsANACRjr61Uf48QAGA/gHvPv\nQQDeOeclnruoqCgkJyejb9++wNSpyL7vPrjOnsVWGNt0p2Pc6wFMhnECapkJ4D7kfdJTvXp1TJs2\nDY0aNQIAHDx4EA888ADmzJlTuF+mkCUlJeFl80QgkFatWoWGDRvi+eefx+bXXsOXAE7AOKHJy/z5\n83HLLbcgOTnZTu47d+6MmTNnwuVM5IcMAd58E9tr1sSlO3b4Xa5YAMsBNDT/Xh8RgXoZGXBFRaFT\np04+T6ikcLVs2dK+KAQAFQ8eRL8PPkBUVhaW3HgjFt5yS67TxsbGomfPnqhZs6Y9bNeuXfj++++x\nb98+j3FbtWqFlJQUAEDZY8fQ94MPUCI1FRnR0ThepgwqHj4MANh82WX44u67kRmV//XMqKgoDBky\nBHFxcZg/fz6WLVsGAGi4ahW6fvcdMiMj8eZTTyE1Pt7f1YE7Y2Nx9fPPgy4Xhj/7LNJijHS9ZcuW\naN26NTIyMjBq1CicOXPGnqZs2bLo27cvSpQogdTUVGz99FNcNXCg8eGff2LZvn2YP3++32Xw1m3G\nDDRYswbHS5fGO48/jsyoKERERKB3796oVq0a0tLS8Mknn+DAgQP2NBEREejcqRMaPf44sHIlDtev\nj3e7dz/nMnirUKECoqKicPTo0RwXfmLT0nDHtGm43Ep0+vVD6ltv4dPx4z3K6IEE/Ljo5C9deLqw\nBP32i6JgMWjQIG7dupUn9u/nwYULOXv8eLZp0ybPaVoDHAdwBcDD9euTgwfzyLvvsn3JkpwI9637\nX5s2ZZbj1uzOnTu5/bvvmBkbSwI83bQpD+zdy82bN/PLL7/koEGDePNVV9lVhs4C3BgXZ/f2tBe+\nu8q99NJL7YcvOW/tP+6YzyV+rg+ra8ad5t9vvfUWSXL79u0sFxHBJBhdC/ZF/o2455QsaayLG244\np9vt3jHSLNsJ5Oyz/iJ4VmMbHSL7VmZmJvnDD8yOiyNhdGHZBEaVrRfgbhCaCXdVMcJo1O6r4WsE\nwO4xMTzcsyc5aBD5/fd2Vb+0tDTefPPNBIweV7og9NqbBKvaldXYtW/fvuxpruPDfkxnVTNZvXo1\nATA6Otp4cCXJVatW8ZprrmHPnj05+/bb7f/RgpTLepCaM7aPG0dSD1ILRPTp04cDBgzI0UbnNXNb\nnEHux06Xy8UFCxbYx3erJyfSeNDp6NGjedlll9HlcrF8+fJMTk5mly5d2O/hh7nVfNDl8chINoyL\nIwAmOfaB7wDGR0TwkksuybOzg3vvvddeXpUqVezhv5rzmXIO66RRnTqky0UCfP3GGwkYVQytLshz\na+SdmJjII0eOGCvAfKgt69WzqwCfT9SFuwr0E47htWrVsh8ue+rUKb744otMTExks2bNjK6H582z\n1+ktAd63IgC+79imfPJJ7t2zh1WrVvUY7xEYVboyAa5B0bQ3UoR9BL0AigKG9URYb8nJyYzMp3F0\n06ZN7fGdXWO+A/cBZ0yNGlyxYoUx0rFjZN26xmdVq5L79/tcNteutZ8d4R2ZyNlAfvLkySSNXkSs\n7gtLANxnTvNRAdaHs9vQK+F48u2ePTxoJRN+zLcywCzzB+zoyJF5/oD6G+XhfhbJTLiTn/pwN0ok\nwJdCYL+yokOHDjx+/Dg5b56dgHjHHwAbmOP/wzF8Mjx7y6oE3+2Efo6N5Q7zSfaHDh1i3erVmWJ+\n9noIrANnBCv5sJLz2267jb3gTubzm65jx44kjfrqZcqUYb9+/ey/69WrZ4/X0rE98uqi1DusrlC/\nAPhf8/2O668nSU6dOjXo2yuco3z58vYh9/fff7cTd8DoDOSQuT1y66b20UcftacfMGAAAbBdu3bc\nuHGj7+O6ZehQ9//vrFnMzMzk8uXL+eqrr3Ladde5j/U1apC9ezPz7ru5OTGRg+LjczwYb/ny5STJ\n7777zue+2DyP759XHDXbSOy/+25GREQYzwChcYHD++TZGVWrVuWY5GSmVq9uHMMuvbTQttc4uC8+\nOR8Oet1113H37t2+13WrViSMC4XB2MciYLQlsbf3q69y+fLljIqKYgkYySF9xD/8mHePHj04d+5c\nbtu2jcuXL+eQIUNYrVo1Xgvjt+Nn+N9Bi6LYR9ALoChgXHHFFezbty979OjB/v37879mV5kkOWbM\nmDynnW326b9mzRqPHi1cAL+C+0DyDMB7Lr+cOypXNn5UIiP54cMPc9CgQXzggQf4xBNPcOrUqdzv\nTEZOniTff5986SVy0iQyJYUZdeoYV0bhfjqrs0vc3r1722Ww7mCkw2gs7e/6iIS7cfcIc9iszz8n\n69c3GuxFRHBHfLz93XrnMp+kmBhjnDJlOOz//q/Qtldvx3r9BuAbAE+Zf6fB97NAgh316tUzrpav\nXElecYVHIvkOcvagNtTxHUeZw1rDOFm2hvP667mrShX77wyAqY89Rs6Zw+OJifbw20Lg+3vsF0FI\nPkqXLm3/jzRr1ox9zHWz3c9prUbnd9xxh32S492ovLJj21znZ7kqwWj0ThhdPT9ibcuoKDItjZs3\nbw769gr3+Pe//21vX9LoMrZUqVIE3HeOswBe4zVduXLljIsKe/YwZdAgdjO3JwDGxMTwhRde4IED\nB3KcC59NSWG2eVEm9eGHfZ8wDxtm33nwjmWxsfbzhpwXv9q2bWuX7Xtz3P+dx3r5rGZNY5lXXsm1\na9cyIyPDLFr+XUBf4Shv00LcVhXgvvj0hddnFStW5FtvvWU3QifJvV99ZZejSxD3sUiA05zbsXdv\nftm5Mzc4hk0DeB/AlY5hSV7zKQXjrnlrl4szRo0izee6kCTT08lp08i2bT32l05B/N6KgEbQC6A4\nz3C5XPaTjUmyVy49NDkP/N27d8/xeRzgsws/IvcTdgCsU6cOW7duzWbNmvHKK69kjRo12KdPH+OW\n/rp1zDZ71ekN45kea9assRMg60FPpeE+SL9zDusgyZz2KIyHAa40q4kxMpKcOdOo5tOtm3HCX7o0\na3v1ihIB8LD5JPPMfv1YuXLlQt1G7/lYp7sQ2k+YLV++vPH8lYwMculSzu7Th9XyGH+s47sdcrzP\nLlmSnDKF8+fPp8vlYnuAW3LZz54PwS4eg5F81K1b1/5frV27Nh81188mP6dftWqV5wnk2bOsU6dO\njvGsnpN8VY30FdbTn0/COF5Uc26/pUtJkqVLly6UdRABcBjAH2B0H5pXF8MXWjRs2NB+vgppdCF7\n8cUXM9rcR2iuN+c0yf/8JzlgALOjo+1tdhbG/6115ysqKoqJiYls3749GzVqxORXX+V2c9wNMB5a\nWqVKFXbr1o3vvPMO//e//3Hv3r38/fff+e2rr3Lu1Vdz0UUXcfXVVzOrQwd7Od+WKUOXy2Xf9Vi7\ndq37uzj2oTvPY53c5JgPV68mSe7YscNOzPKKp83p9iP/qrkFDStBJ3wnFBEREaxWrRqrVqli3/39\nNQT2sViAs5DzGJ0J8CnHeCXMfc36fDGMKoBz4X5mih0uF1MrVuTecuV41rEfEjBqWHz6KTt17Bj0\n764ISAS9AIpCCJfLxVmzZpEkjx075vO5Hbnd9XBGaYCfwX1A2AvwizvvPKcyNWnSxHiOxN13G/Mq\nWZKTJk60fzCbNWtmjzvUXN4Z5Gwb4U9UgY8DHcD95q13kkzbtIk074Ac6t3b41b87aVL29N8UQT1\n1iNg1JVfC+MZJiNgXBUL9n6TX0RHR3PChAn2OkxOTva571SrVo2vDh3KfS1aeKz/s9dcQ27YwF27\ndrFSpUr2+PEwTiyPWePWqkVOnsxZs2axXLlyQf/ezghG8nHDDTfY67xUqVJ8Au4TQH+mf+yxxzyS\nj/fee8/neP8z5zvUz/laVa4mO4bZiaT5v3bTTTcVyjp4HZ7/y/8KgX0hlMLlcvGpp56ynxK+du1a\nJiQk2M+qIIz/sYYAP4mP90g6MuBuu2XtV3W95w/wd/OuZyqMqqIFKV/79u2Z9tJL9jI2jRpl74/O\nB1pad9x/x/md+EcA3Gxe6Erv1YurVq1ijRo1/Jp2qVmGcUWwnSLgvqh3FMZdFl/jPeTYHsG86+GM\nSID/iolhZsWKZHQ0jzdowOY+jv8xgEfb0YLEL+XLc26/fty4YQM3btzIyy67LOjfWxGQCHoBFIUU\nlSpVsm/hzp8/3+MkMb+7HjnmBaNOfzTO7+QrMTGRf6WkuA82Zj3/1157zR6nPNwPPHvjPL7/vXA/\nZDETYB8YV5WqVKnChIQERkRE8FvrYXpxcdyxfDlr165Nl8vFnc2bG9MlJqp/c69wuVz8+OOP7f1n\nzJgx9h0rAOzbt6+74Wp2NrlwITl8OPnNN+TZszx06FCuD+mKgJGEvTN6tD3///znP0H/zs4IRvLR\nvXt3ksYDzgD3wyRXF2AeVruq6dOnMz4+3uc4nyNnMpFbVIK7AW13x/CPzWFnWrQgSQ4ePPi8v//V\nyHmS4qsqkcJ4VpKVgEyfPp0R8HwQrMc6LF+e/xcXxxIwLgA8C/cx8y+4Gw7HwP3MCwJ89BzL1vi6\n65jeuLExn9q1ydRUjh071v7c+UynBwphXVhJeircbdL82a+tqoS3FtE2qgn33eCDMP5/ohyf3wXY\nnbR8U4T7yrlGu7Zt7U5CnnzyyVzH6w6jOtZyGPvPD716kQcOkCdP8vPnnmNnGBfhhgC8B2D1EPhu\niqBF0AugKMS488477ZO4gQMHEjBOwFNSUvK965FbnO/J19VXX81TjRoZP35t2nDEiBEen4+AcdA9\nASMROZ9lXQ/jR6x2Lp+XBnjMugLYty+PHj3KP2bNMqpnAZzUunXQt2EohncCsnTpUj7zzDNctmyZ\nPezQoUN87733+N577zElJYUbNmzghx9+6PfVx/vuu49z585lixYtgv59nRGM5KN///4kyW3bthEA\n/w/G/8jKAs4nv6ecW/Nd58e8nFWu4h3DHzSHZ8THk1lZnDBhwnl/f6vB658w2hdZnTOMDYH9IRRj\n4MCB9v/hiy++yFgYV6KtZDH74ovJN97gS089lWPaljBOiGnGUhg93Fl/n28vfB0uuYRZ5h2J6ddf\n73HhwrrrsRWeJ+PnGqUBu5rYURh39PJrw/EY3L8/8ee5/LyimVkma72egtFjlLOK6h8I3TviH330\nEUnyzJkz+d6dqFKliseT5D/++GM9NV3hHUEvgKKQY9KkSfZV08TERA4ZMsQ+CHTp0qXA8yuMk6/u\ncB9gr3QMrw7jKhUBvhig9WNdHcuOjDTqBvfsafwYlC7N2BDYfqEa3m2LnKZOncqKFSsGvYxFEcFI\nPpKSkkiSK1euJAC+AveJYWEu51a46/7nt+/7qnIFeN2l2LSJ69evP68yVYL7anx/c9iTcJ+wlQ6B\nfSIUw3lxoHPnzgTAigAXvf8+mZnJ3bt32z0LekdNgKuc29GMlBYtPHqvO9d4F+7E1er1qaVjOb0K\ncT00NJfj/B6rkXu1sR/NcSYEYBtdAXCOj/VMgPMQ2ncCypYty71795IkFy9e7LNnzaZNm3LChAl2\nT30kOXbsWI+EU6EwI+gFUBRylCtXzj5IOE2aNOmc5lcYJ1+RAHfAOMi+6xhudUV4AIF7vkMs3FfH\nnPF4CGy74hC33norZ8+ezS1btnD27Nls3759QJcfB7Ad8j9ZLqwIRvJhJXkzZ84k4G7/sKCQl1MD\n7v0/MY/xcqtyBRhXrK0LCJw6lZmZmblW8/InBpvzOg73lehycFdLuT/A26K4RGxsrN0I/fjx47z3\n3nvtZx6RZM+ePfOcPgrg3TA6/HgdRlJZWPt+Obg7FJkL8FK4nxG0CiiUBMcZ1WHcsdkM9/59Ejk7\n+HD2chXIXpZqmev6MRgdsVwbwGWfT3Tt2tXen8aPH8+4uDiWKFGCvXv3ztHJxdGjR/nII48EvcyK\nkI2gF0BRBJGYmMidO3faB4I5c+accy80hfUDZNVbT4XRuPE6uE9oAn3inwh3OxPCuP2v3nSKR7xk\nbrMfUbTVJKwIRvLx1VdfkSTHjRtHAHzL/M7ePRgVRlhVQR7MY5xB8F3lyoqfzM/53HMkySZNmpxz\neawr8N7PqvgO7v/VQG+P4hLVqlXjvn37clx4mjhx4jnNrzD3fWeDaitOw0hyinKdtAS421zeYRjt\nTKzPPjSHb0fhVPu6EGLEiBH2fpWammp3aWxZt24d+/fv71cvY4oLN1yQsLR69WpcddVV6Nq1K265\n5RZ07NgRJ06cCGqZxgDYAyAOwFIAKQAiAWwBMDbAZVkNIBHA0wB6AbgXQFaAyyDn5mfztTmAyTD2\noXBz8cUXAwAOHDgAAIg2h2cUwbLWmq/X5vJ5BIDHzPdfAkj1Mc6v5mvaypUAgIYNG55TWa4AYE35\nmddn35iv7WEcQySn3bt3o1mzZvj5Z+O/JDs7G59++il69+4d5JIBnwBIcvx9HMB9ANYX8XIXA2gD\n4AiA8gDmAqgB4BoA95vjjASQWcTlCBdPP/00hg0bhszMTMTFxSE6Ohpnz57FlClTcNNNN6F+/fp4\n//33cerUqWAXVUJYVLALIEXn5MmT+Pbbb4NdDNtJAANhnERUMoelArgTRXNSlZ+tAEYEYblyfmYD\neAbAGwBuA/AegL5BLVHhq1TJ+A85ePAgACDGHF4U/ye/AmgJoHEun3cDUNd8/3Yu46y23xjvzjX5\nuMt83QfjpNFpJoD3AZQCcAuAWee0hPC3fft2XH/99ahevToyMjLsBDYUvAJgIoB6AP4L4HCAlrsR\nQCcACwBUA7AGxv9ULICdAMYFqBzhgCReeOEFjBs3Dk2bNkV6ejqWLFmCw4cDtTUlHCj5kICaCaAD\ngJcB7AfwGtxXTUX89R8AVQA8AaAPgBMAhgS1RIWratWqAID9+/cDKNrkYwmAfwBoAiABxkUCSwKA\nUeb7BTBO2nyx/ofj/voL2L//nJOPu83XLwFke312AMBKAM1gJJ1KPvK2a9euYBfBp61mBNpPAG4H\n8B2AsuawdBj73OkglKe427ZtG7Zt2xbsYkgxpWpXEnBzADSFcUV1ZZDLIsXXUzCqXVnvP0V4XE0p\nV64cSpUqBQDYsWMHAHfycbYIlrcIxol+FICbHMOjAEyBUUUlHe6qV76shSNZ+PVX1K9fH/Hx8QUq\nRz0AV5nvp+YyjlX1qiv04yUFNx9GddtRMO7iNYJxB0ZEAkvHbxEplgjgARhJB2C03fkGQIlgFaiQ\n1KhRw35vJR9F2ebjLwCrzPdtzNcIGOu1k/n3EBhVV3JzGsBm64/VqxEdHY0mTZoUqBxWlavdAJbn\nMo6VfFSCcaemoCIBPAzgQ7irksmF5XcYd0wHo+jbm4iIb+FwoVBELkAtW7ZEq1atsJ3EsgULcOOP\nP6ITgLW1a+Pzv/8d2a7CubbSqlWrQpmPv6688koAQFZWFvr16weSqD9lCvDHH7i2USMkde5c6MtM\nXbgQWLoUfePjkfqPf6D1woVo+tNPAIClN96I8rfc4tFY2JezX30FbNiA9JUrEQvgpZdeQsuWLf0r\nAIlHk5OBI0ewq0kTvNShg8fHkZGRqFKlCiIAHP7nP1HhyBG80bw55rdt6/+XJHH31Kn420Yjjfp7\nXBw+7dULBypX9n8eAZCSkoLFi71bvIiIhJegd7mlCO0IRlejCkVBw3oQHQEOK8T5Bnr/f/zxx0mS\nf/75pz3se/N7jSyiZVaF41kdjvigAPOwutI+dvHFJMl58+b5PW19xzK9n0jdqlUrj27DT/TvTwL8\n3cd8IszpOwKM8frsQR/fb1YAt2txDB37FQpFUYSqXYlIWHgLwGjz/TMw6nYXRzVr1gTgrnIFFG2D\ncwDYC+Bdr2FfAhhQgHlYPV6VOXgQOHECzZs3R2xsrF/TWlWudsKzHVjbtm0xZ84cVK9e3R6WcN99\nAIArzbDEwmhPtgLA9zCq11jdB18Cd8P5mY7ldQJQ368SiohIYVHyISLFUmRkzid8PANgE4y6/R+i\neD4DxGrzsXPnTnuY1eajKBqcW/4Jox78HACPwugFqCDPvvnF+cevv6JEiRK4+eab/ZrW6uVqKozL\nYgDQpEkTTJ8+HTExMdi0aRMaNGiAq666Cj+5XECVKgCAsY3dHQR/DMBZCas2gIUw2nh8BaAMgKMA\n+gH4GsCf5ngD/f6GRS8h2AUQEQkAJR8iUqy0a9cOBw8eREZGBr7//nu7jQRg9MrUz3x/HYwuZIub\nYNz5AIxE420YXWGPgTsJ8NdhGHcuAGDHtGkAgK5du+Y7XQO4G39bvVzVq1cPs2bNQsmSJbFr1y60\nadMGa9aswW+//Yab27bF1jZG0/ibNm/Gs48/jvsB9DSnHQrjmSWHAJQD8BGM3vUAIKlCBeyH0TPX\nR+awHnAnd4F0M4APYCRIGwGcgtFl9PdBKIuISCAp+RCRYqVRo0aoWLEiXC4XOnbsiGXLlqFBgwb2\n5ylwn1i+AqOr2KLggtEr1Llq1aoVevTogYgIz7nUrl0bgOedj0AkH4XB6jXrrwULABjJhyufhv9W\nFahtMJ5ef+2112LevHkoX748Dh8+jHbt2nk8s+L06dNoM3UqsiMjgWPH8PoXX2CceRfsexjPiZoH\nFgAAFCFJREFUENpbtSr2TJ0KWPtFTAyQnIx3Dh3CokWL8MYbb6DKk08CMJ563SMhcPccLoZx52UB\njGfUtIbxZPeS5uelAlYSEZHgCXrDE0VohxodKkIpoqOj2bp1az7yyCM8fPgwSXLbtm0sU6aMPU45\ngAdhNCr+Jo95JQCsAqOhcm7jeO//sQDfA3gG4GGAQ8zhjzzyCL/77juOHTuWlStXzvM7fPnll3YD\n6hkzZjAmJoYAWKNGDXt4o0aN7PHXmd/lyRBY/3nF/5nl/DMmxv4e7du3z3OaLeY0rwNs3749T5w4\nYTQsP3GCjRs3znW6YVFRHo3HjyQksBLA1q1bc9++fcbCs7O5dMIEfvnhhzx48CBzuPFGEmBqt25s\n0qRJka+fe8x9xirzzwDfADgYYA8YjeWjQ2A75rbvKxQKRSFF0AugCPHQD5AiVCMxMZGpqakkyc8+\n+8zjs/vhPsm73Wu6iwFOAHjW/HxnXBwn9+zJUaNG8eGHH2bp0qXtcZ37vwvgdOTsNWnOzTd7nNPu\n37+f1apV81nmHj165DgHfvrppwmAd9xxB0kyPT3dTkgAcKO5nMdDYJ3nFR3NcmYBXDFvHkny66+/\nznX8ax3r8OWuXXn27FmS5J49e9igQYM8lxUB8NPoaKZXrEi2bk1u3sxjx47Z6/T48eO87bbb7PGj\no6N5++23c9y4cVy0aBGXLl3KP4cMMZYfH8+dGzZ4JLCFGZUATnN81+MAe4fA9sovdOxXKBRFFEEv\ngCLEQz9AilAOq2takmzTpo3HZwtgXhUHeLk57CaAe5EzgWBEBPn22yTJvXv3smXLlgQ89///c4z/\nIcD5zmkXL+b27dt5+vRpkuTChQsZERHhUZ7o6Gj++eefJMm5c+fygw8+IEkePXqUZcuW5euvv06S\n/Omnnzym22oup18IrO+8opJj/bzaoQNJ8uzZs7zssst8jv+cOe7h+HgyO5skuW7dOlavXt3vZSYk\nJHDmzJkeydyqVat45ZVX5jtteYAZVpk/+YQjR470e7kRAPsCTAH4sWP/8o57AR6NiLDXy2yA1UNg\nW/kTOvYrFIoiiqAXQBHioR8gRSiHy+XiihUrSJKbN29mXFyc/dmlAA/BOOk7AXAJwEzz7/SYGGaN\nHEnOn082amSfHGa89RZJ8syZM2zatKm9/zeD+06J9fyLeICnatc25le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1+RARkXCh5ENE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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from mne.viz import plot_evoked_topo\n", "\n", "h = epochs['High (start)'].copy().crop(-0.1, 0.6).average()\n", "l = epochs['Low (start)'].copy().crop(-0.1, 0.6).average()\n", "\n", "plot_evoked_topo([l, h], show=False, color=['w', 'r']);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There is a clear difference between the low and high spatial frequency conditions, especially at POz where the high spatial frequency condition induces a very sharp negative deflection at around 100 ms." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Offset" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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jZ5wxnZtvuo6KonI8uHa3dls99k/TdDSPB93tQfd6AA2Uylw407srQJYJlp1p\nCYNMb5bHgxEIUNPYxD/+8Q9eeeUVOjo6uh9qffHFF5OzO2HbcxccO53OVCT3HCu6jtI1EppJQkuS\n1EzSKo2yLKxUEpVMoqXS6GjYiQRWZydxM8aGQDNrA43s0PZehAGcphNtmUXNwh007WgknUgzZPBA\njhwzkuMnHsUgA+zGBqxoFMtloHKCqIoyWh06GzdsoysUB5yUl1cwfMhwhg0Z1j1XU1m755ekUyRC\nIZRp4nY6weFAd7s/Wcvi7mRGpdNoho7m3Pc4t5WNhtZ9jr7zzjt0dXUxYMAAKisre92uHYthRyOZ\nQvkD56Omaeg+PwQDxJ0WCTtBencvhI2NrVT3JN2wFSFiR4hYESJ2tPuvjk6BI59Kd38GeipxaA6U\nsnEmTPy2G7/mxeXL6lE5NZVJwk50t4rbKDTbJt3ajqsjDO+uxVy3ATvUhbIVzuJi3OX98AwZhrti\nQGYYmteHq/izfSDpnrLDTqWYOuUoTjxlGkdNHoc7KwuXL0DQl0+Wc2/jjkqnseNxtm7cwBNz5/Lv\nBQtp7ejgwrNm8/VvzKCgfP9zHxw4yAsbWOs3EV+3hlTtrl5j0oNB9OIi7LwszNwAKjcLlRPkiKPP\nZMO2ZXvfqOkYgUCPinQkHGHFktepWlWFpmkUlRZzwowTKO1bunf7mkbQCOLUnOhoODUnhmZgKxtd\n0/dbXu5hx+NYsSipaIiklcDCRqEwsYiT7E4UUQpt5Wqs115n8TEOlh/twN69yQIjj2nBKYzzj6G1\nrpXTJn6NxeuWMLzkiIPqMVm/fj3HHXccb775JgMGDOC+pr+wPLKSvJiTa+8Jo+k6xVf+EFdpGa7S\nPgc8T21l05BuJGlnepM2JjbRnG7Bo3uodPenn6u8x3ehaxqvPvMqN1x9PXf/4R6On3V899CkpJ1k\nQeciVsXeB8BAZ7Q2iMFaOXptM9Ud61k9xCTtzBxLR76d5sEfPcfFRwxh1pGj0YYPxTNiBEZJCbam\niJHAouf1G4cDw+1B83rRnXuTJ6fmIGgEyTKC+/x2trLpirfS0VFLKhWDlnaMha/RGmlk4QwH1ZX7\nv0OZKw2TY5VMy5nW43dx4CALPwH2Tbw1TUP3B/bpBf0oe4asKtPESqfZtGkT0ViM7PwChowcCW4H\nEStCV3d5fmBxO05juomGdCMdqXbiZgw3DgrIYbDWj8Z1tXzvkh/zo2u/y8XnnUc2ge5ESClFLBEi\nUr+NRF0tewS7AAAgAElEQVQt8YZmHnx5GQ+tfJcBhfkcO3oEY8eOZ+Sko6kcNAjX7v3UDEemwcft\n3l2m7i5DEgksK02MJAmSmFi4cRHEt/szNRzZ2RjZOQeVbFqJOGYqgbJM0lYq08BlaBgOB26HF7cn\n2L0dZZrYycTuRC21u3F7b6KZVibthIiT6O3jMgwHCd2ky+qiQ4WpbW/gf869ixGzRzD0qhF0sG/j\ngI5GaTJIwfYIZiTBwperWP3UJvqfOZDKcwYxY/AxnGyPx7GtDu3N99G31+5d2e2GcSMwJ46E3Cws\nZbNWVbNMraZtT3f7bg4cVHr6M9wzjCO8wwgagc83YUqlUjQ1NVFeXv6JP/CTSKVSnHzyydx4442c\ndtpp7Ny5k7PPPpuHH36YoUOH9rrenkLvmfv/SNagMjY01dLQ0Eg0EsMf9FPWp4SBAweR58nDr/lQ\noTDp9jbSzY2k6+uwk8nMOOLSYsKFXuJ6mlZnhC3U0Gi3EVcJDKWRowUp0QqooJQcfHsrgykTukLY\njS1UpTezpF8TrR8YVeBKKQIRRSio8fDwB/nGlu8A4EtqHJHuQ3mwEh2dLeGdLFv1Fq117dhJC0+h\nl+EVpYxNeHDGTFoKdaoH6MQ/0BAVwMdQZyV9HCXkGjk4dScWNmnSmNhogEs5yFUBslUABxpehx+f\nO4dsfwGG0Xthokwz07MRCaMsCzuRIFG9hVRdLWZLM1Y0ih2LZippVmasK4AydNqKXSw/CtYOtEi6\nMsvTkTQ751XT/Eo9HWvbiIcTOB0OKvqWMWHsaE475WROOuE4DKcDzenItLr6gxhOFw7N8ZE9fJAp\nHEJWqPvCGrLCNKQaCNlhNDSCepBiZxHZRlamVRvQNQMNdg/3ylT2quIbeCv6LtuTOwCINUR5/9fv\n0vBaLSMHF1MWNljf0k4gEOT2Oddwyvnn48zOwfS6aLHaWBpewaLOFzAx9xtnqbOYWY6ZVL+ylWef\nXsjLL7/MgAEDGDZsGNnBIPFIhOaWRloaGmhvaKIzlcCf5SGnPEjZpFLKppbhr8zCk9ZwJ4HWJG88\nuIbVy3dy60XT+VrxAAxLQ1cauiLzNxDAWViEo7AIZ1ExzsKifSvs8ThmZwd2LIqybAy/H0dePlHL\n4o7f/Z6H/j2X8889h9mzz6SwuJjNmzczf8ECFj3/PBdfdBE/vOwSSnNysE0TK9SFnUxiWWkSVoKk\nliLpVLQ5E7xv7qTO1UHClzlSXSZ44gpvOI23I4EeT9FUpLGzXMdyfCjBV9D8ViPv3vIG7lw3A84Z\nzKQjxjJRG0LL8g2sWv4Or1dtIpxMM664AH+Rl9YA1CfjNFW3k46bFAzNJ78kj2xPFunWFA3bm2hp\namXw4IH0Ky9D13RaWtrYtauWltY2AApzsrnyzNlc9e1v4Svrg+HzYwSzeiTLpjIJWxGSKkXaTmMp\nEy2RxBFLsWvDdrL9WZQXl5I58sByaFhOjaRuEVMJLJUZ0tVQ08BtP/9fNm7YQkVFORs3buEHc67i\nqmuuREcjbacwrVSmxzGRQGtqQavaCrvqUM2tYFpobhd6WSlqYD9SIyvRc3NI+z1UmzvZltxObaqe\nDquDqB074Dn1QR7NzThjGEepYeSx99bIOjpuVwBXdi6mUyOtMsd9JBxh0dxnmfvgk2xat4lYNEap\n38fRJYV8e9gQhuXt2yuquVwYFf2gpJD+l11z0LF9EnvKjr8+8CsKS/af7BgON1n48VlOHErv0eCU\nVGne27yOBx57nPnzXmTYsIFccfmFTJo4JvOGUAStthGtaivajjq0HsWwhpGVheZ0ZhLe+IF/h8H/\nfJzN378YVVKIGjkYNXwQSadiBw1URbbzzJ8Wsuax1eQckUf+mEKCrgBmbZrNr25i7JFj+NHNcxg/\neXzmZhOJOHYygZ1KZ4YHQaanQNfQdAOH4co0CCody8w0oigFNhYWdq/XNQAiMfRXVrI1tIkFX3PQ\nkZu5ZmcTYGbOdEb4R3Rfx++48TYMDO797b0fa3jt3XffzRNPPMHLL7/MZm0rv278PwCueMJB+eYI\nrn4VFF78PQyfD2dxaa+NhK3pNkJWmLWxKp7pXEjcjvd4vchRyMnZJzDCcwSapvHa869x4xXX88D8\nBxk+Znj3+xpSjTza/iStZuZaMUDvw+lMIT/tQ39uCfrqjQC05Wo8M9vL9j6Z71y92MziGxfz0qyZ\n+Jy7G2vyslFHDERVlKH6lpD0GGxQO6ihiQ4VwsAgqPkY4OjHkOAwAt5ctN3fp6ZpGJlBaJm6QCpJ\ntKsZO5mZFqCtWo/5yjKWTIbXJxtYRuZ7KTKzGJIqxtMWpznRwKZ+Jkl35rXcsMas9pEM6DMO3B9M\ngjQ8uHDjwosbj9bztQ/PQdkfZWbmrNiRMDX19fzmL/fzyFNPk52dRW5ONm0dHUTjcY4/cQrnXDCb\n8ZPHZRpYDYOYSlJvNtJudtBud9Jhh2i3Oumwu0jQyzxBoG1NKyuvWMx1P7+KC8/4eqYO196JUdOM\ntqsBVVsPLe18+IhJmCZvNDazoqGJrZ0hdoYjNMUTDO5fwYnHHce3zjmHkcN61lNTyqSLCDHimcY+\n24bOEOg6WiBAliObbPyZW28bBmmXh001NTQ2NRGJRPD5fOQV5FFcVkDAq5OIh3aPeNm3Oq+Uormp\nle3VNbQ0tBLpjJLtDzKo3wCOnzQJl9PV/b4UaSLECRODD2wrpKLU0UKL6qSLCF0qkvlLlNTuxhAz\nlua1b71I8dEljP6vI3vEUEAOlVoZlZEcKpfU4Fu1JfOZmoY6ehxvDPLyuyceYv28KuyUTfGQYkaU\nDKKsqJg+2UHGWIoj2kM4P3CdbBhVyFMnWzT4914fHRhoaKQ/dB3SgFJnKaXOYq4vm9PrMfBRDiph\nCofD3HbbbTz77LMArFu3jvb2dq655hp++9vffuZ3DlmyZAk///nPWbp0afeyH//4x/Tp04frrruu\n1/X2FHrBWIT1rW3kleQR7JON7neQiMQJ1YfoauikT78yBg3oz+BgkAHROAN0jcrsIFm7WwhiHlgz\n3sOqcU7qcw/c3ZsTNRhQq5HbkkZPm7TlaWwaZBDz7z3NhmyDSU2FDPANwsgOYiUTjDj9Mm597mI2\nVtqkUxZtq1poWtlA08oGQls7yRtZQKBfkKKYjmtLlKpdLeS63cyqrGD2wP4UZPmoOkLn7fEOdvbr\n/UJkxk3a17TSuamDWH0U3akTLA4wadxQjioeykD/YPIDpfg8WXj9ORhOD+gadjpJOpnASsaxkglU\nKIS9YQv2pq2onbV7C9deNBRrLJ3iYN0Rmd4EyJxgW/62no3/XE/RpBIqZlWSP7YQV66bsh0mRa91\n0r6ykcVbaqmLxvj2MZP41uxTcVWWoyrKMi2uXn9mMq/uxq27MDQDAwNDy5w4CkXSThKxI4TNCGvi\n63gvuobadB0AtmXTtbGDlnea6ahqQ0Vssn3ZDBw0kIlTJjJ+ypEkXEm2JLdSFd9AbHfBaSUtNv2t\nik1/r2LQRcMY9r2ROANOgiHFzOdS1L9cw/+8tYqZw4dy/Q1XY46r5FnjTVZbmQIyqAWY4T+eocYA\nIirK0vhbPL/8ZbY+uonGJXWMnDyCC08/m9nTZ5CbnY2ZThG3YiQ6W2h4ZzHrPPWsHWEQyjq4XsGm\nFQ2svG4p4y8fzTljBnPUKovSpl5OfV3HCGZ6BvYMhVPJni1NSikW7ajhrlVrmDpyOL+47moKxgwn\n7YQEqcwYeKB+YzUP/vFhnnllOacM7M83+/djSE4WTl0nmk7zXmcHL9HO213t1GxpxYymUZbC4XVQ\nMKGIilkD6XNSObpz32PaYSqGbrEZtd6ieGuK+5a9z0v19Zx35fEkvlVC2JtpcdRtRf+dNv1qFbqt\n2GDHWN3VQWdHDN2l4y3wkjMsF3+/fSeHOmydwi4/6U0xUjUxfFGLPqaToQkY1JHGULClM8Td762h\nMRrnobNOp++EiQSOmoyjqJiU30XUbRLTkmArlJnGTiSwEwnWrFrD7T+/m4bGFlKpFEX5ufzsmkuZ\nePxkyApkKqofULVmA9//3k2cf+Z0LvvGGbh8HuraO7nuJ/+P0eNGcPOtc7BSCbpa6gg17YCaelyt\nIQIRCIYVzg81wMa8sGWQg6pJWWwuTmJqvbfQujU3AcNPQA/s/uvHtFI0pBqpt5u736cpGLIdxm7Q\nGNziw1XeD3vEIOyyQtqcCZaufpuFjy5i9bOrKJlYSuXZgykbUUB+WsO5NkTNSzW8sryaqeNHcf0l\n51IYT6Ft24XW2Nr9GZ1ZMOF3j/Ua66dhT9nxtyNHUtynGFXRBzVsAGpA331+l917jgMDkinsjVtg\n6w60mkYIRUiZJgt31fB/66rI7ZvF6eePZVheDsM22xS27W5McjlRwypxDx+Bv2IQLk8Ai0yPfDTR\niWpqRWtqRWtug44QWkcIKxQm5rU58r7HWfg/FxAOaHRma2yrdFBTAjuf287qu96mZFofhn9/NIF+\nPZ/xY6Usmp6qpepPa6js348fXHUJEyePRf/Q/kWjMVavqmJb9U6UUgwZWsmEiWP2f4dcy4JwNDOk\nJhKDaAwicbSGZppDNbw2RaPqiEyLvaY0jjZGc0rBdNyuvY0LsY4Ix444ljVr1nzsofS2bfP973+f\ndevW8eSCf3N7169pNduY1NmXM+7dCkD29JkEj56G4fPjKCza55yP2XEaU028Hl7Js10vAJkhp2XO\nUiJ2hDazvfu9Zc4S+m8v59Zzf8Ffnryf8ZMzz49KqzRLQstZEl6ORWa+zAn6UUxlFHo4ivHIArSm\nTBKlKsqwTp2KXVrIYrWKpWo1AG9es4xxWaXcUToMR3tmzpqtwc5yjVVjDKqGO0j1kkvq6AylgiOd\nIxjsHYjh8gAKZWYaOFV6d+IQT6AtfJWN9g4WneKkKzvzXWThZ7o+meH0zzwjRynqaxt46/lXWFb9\nDptVGMuyced6GOEI8G1jAMP69kcL+lEBPwR8EPShCvMxcnPx4saPF6+W6f3SdGPvXc8+NOfPCnVh\ndXZQvWMHd/3xD8x//kXOOfc0vnnu1yjJCmaSs6wAdQ3NvLDoNf79+EJs3WbcuePJnV1MLO+jh6Jm\n4SefbLy4iasEyxe+wdv/s5Kj7pxK3xPLGb/dy8kvxgm27tvDooDGwUE2jvDQUKjwWAZFnQZj1poE\ntragKUXKsqhq62B5KMKTG7cweNAgbp5zDUdNGkeEGFHiEI6gbdiGvn4r1DaiWbuTZU1DVfalrrSQ\nxTsaeemlpaxeU0X/inL69O2D1+8lGo/S3NRCza460uk05eVl9O1XRn5+Lk6ng1BXmLa2Ttpa26mp\nqcfn9TJgYD/K+pSQnR0kFouzaUM1DQ1NXHnlN/nW6aeiQiEIhaErghaKkIpHWFUR4f3KFHX5B2gI\n2f27rbxmKR63m9m/+jp5ejZF5FCUDlLcoZNVG0bbvB1t667uxiFVWoh1xolQmrkRiqVsXtTe5rXa\nNwhVd6G12FS2lNC1s5PV71URDUU4Z/J4vlNcwLuTNJZMNbB3J/bDaz1Mdo+jT/ERGJpOSEXZ7mxl\nk9rJlvS27oY6gMcGPfCRx0dvDiphuv7662lra+Pqq6/m4osvZs2aNcTjcW655RbS6TS/+c1vPnEA\nB+Mf//gHr776Kg899FD3snvvvZeqqir++Mc/9rrenkJv2onF2Of3Id5n37H1VtIivDOE470Qxjvt\nhKu7aGgKsbMjjNvrJKciC+9R+eSOKyJ/TAHeEh/ZYSivs/F2mtQ3hdjSEaKmK0wsnMLhcxDoF6Rk\nWhm+0p5jzo9ozeIYNZqyoiE4dRcBfDgwSCuT0oFj+fENV7LkhddYu2kb+ZU5FEwroWRiKUMrChhe\nozH+fYu8zswwJmfFAKp0B0+++Q7PLF3GyL59mFaYx2i/F3cfH9uHOakuVdRYSZrqumhf20r7mlZC\n20LkDskhd1ge3vIAylaEt4doWFpH7vA8Rs4Zx5B+hVSGgpQ4SwgGC3H4AiRUgli0g0RXO4nOFuJm\nlIRbw2GBN67wJDV8Lj9+VzZ+RwCn00PCp1Pvi7LJ30qtN9T9PQQiBul/1PLcgys5qqKcH544BVe5\ni6q+Cd4fbBH50DQeb1wRWdvOO395n7bqDsbdMIHSU8tx2QZ+y0mBkUeppw/9XH3p5+mH353d3UMS\ns2NUJ7azOraGTYkt2NhEayM0LKmlcVk9LW814SvykzehgLzRBbhz3Jhxk/C2EM1vNdK5oZ280QWU\nTC2j4Mgi7KSNvSLE+ifWMDorl59OGEtgfD9WnpTN2/lNWFrmote/0WDkC53844m32dwVYvydU/Ae\nUwTA0HQps+2p5GrZmO1JHnlmPv/89zOYhknZhZWUntkPV5aLPhRypDaMfDtAvK2Z2lA163M7aM/t\nWcAH8dPHUUK+IzdzTCmdpJ0kYcWJx7voMDtodIVpru9g2RWvUnhUMWN/ehRHxHM4pqaI/jUKraU9\n03qWStORSFIbiRJKpfA5HPicDvxOJz6Hg1AqxRuNzfxr4xYMTePnE8czobgQBaQ9BunyApTXC8kU\nWkcXRlcU3YKuWJLHNmxl3rYdNEbjoGcmd+YOzyN3XAH5YwvJH1NIfp6Pyl0K56YoW9c1sGzFNhqb\nwxw58whGfWMU/so88o08+mpFDI0X4W+MsHzBq/zykbmMzc/lFxPHk+12kTbgnXEGS6Y6iAR7TyoL\nyGYw5RSGnXhqWom21FGbl2ZnuU5nzoGTUd1SFLYqBu1QDNpiMu+ZNSzeVceDp55AnseNPaQ/asIo\n1IA+RIwU1aqOXWY94Xgb21Zs5ZmbXuKis8dzTnFf+jTC0p313Prmu5zYt4zrJ4zFVZJDQz8X9bkm\nL761gacfepvZ35/M8MnlmbY/LVN4x6Mp/nT9c4y9YgzF36jsbpD4MJ/pIGi6cac12qMhtm5tJFoX\noXhyCYGKLHQb+qZy6OfpR56WTa6WRY4jh6AexOVwwe4mCM0CO5Vk08YtvPvCEnZt3Mguu53Wvg7s\nHCeG18DhzfwN2AaJ1jhN2zupX1GH4TIYcM5g+p85EG/h/ieLp6Npdt63hU1zN3Dhj87lvAtPR8Vj\n1Ldt5f1gA3U5yf+o0DsYe8qOv48bTiDPzaZBOu25Oimfgyx/IWW5lfQtGJoZXhSLo+1qQFu3BW3T\nNjRzb+KZdMHKowxen+Qg4rCpfmwzG/64hpJj+jDqunGM1POYHhtFcb+R4DzwUE5b2Wyjno1qB7tU\nE610YWPz+OB/do9OAAhv7+LdW98k2ZZgxk3HM3XKNEr0fHyalyQp6lUrm9UumshU/K2UxY5nqtn+\nwGZUQjF8wlAKi/KJtcXYuXEXO6prGTFiCEOGDUTXNVavqqK5uZWf3Xotpx4/Ga2mEW1XPdquBqhr\nQrMsbCDhhfZcjdoynfVDdbb311G7k5O+FHK643jKC4Z2X6v3zLv59W2/ZteuXfztb3/7RL+dbdtc\ne+21zJ8/n9l3nU3Dka348fLThWWo1VVgOCi+4geZeWE+H468gu4YbGVTm6pjXWwDD7U9ggIqXP34\nRt5Z5DgyvZ41yVpeDr3GlmQ1qa4kL565kBNuPJlZ534dn+6lJd3Gmvg6Yrt7aLO1IOdox1OuFUNj\nC45HFmaSSk3DccIxWNPGk/7AHJEtqoan7MW01rfx4tcXcua8cxiW1xc7HKbeHyPi+8AzbCzFgJ02\nRa0Ky+uitdzHzuxYdzkEmeRgrDaY4doAisjrnjOXqNnF1rWvsHJUmrqyTJKsK42j9VEc556ML5DL\nli3bmPvgU7y44AXisQTjjxxJ5cAKvG6Tdd4ampJRQtVdNL1eT1BzMKO8L7OL+zIyP3fvcNXcLKwj\nBlLfp4j6rhhGQiPLGaBPaQl9S0vJys8HNNg9BHvpG29w/2OP8uqy5Zx/1gy+M2gAeTVNaNG9PQnK\nYZCoKGLtkV7e7hdmzdqtVD+xmfpXasgfU0jB+CIK+xdQ2qeY8tJSyrMLKEi4yOuE/BaLQGsM1d7J\n2o3V/PXNVWzs6OT7l01l5/lFtOVlvgtnWjHhPYsh2zX8wQI6KrLYUm6xOdhOSNu311dHZ5w1kJPX\nBQm8sTFTpgKmbTO/po4/rN1AUW42V51yLFOygrSZbawaY7CzXKcjW0OzFfbqTlqe3cnGFTW0dsY4\naVB/Tvr6KRx90Szc3v1fL0MdndSs2ciWTZvYGW6kTcVwZDkI5Hgp8vk5wlfIyGQO3rQOpgmxBFo8\nAfEEm2ob+Olrr1Po9fKbY4/G53SQcMMbEwxWTHT0aOjfU97ldimyuxQ5XYrsEGSnnDz9chVLN+3k\nkQtm47aBdDpTBzD3bYRTAR/2MRNQE0Z2Nz5pLnfmeUsOJ6uiq3mmYyEmJhowVhvKaG0g9Rsb+Mdf\nH2f1ijWM/ukEyr9WQV4XnLkgTeXOzPFuD+mPfdLRULS3EyelTLZRR71qJW6k+XH//9rv93gwDiph\nmjhxIs8//zx5eXmMGTOG99/PjMUNhULMmDGDFStWfOIADsZ9993H6tWruf/++7uX3X///bz++us8\n8MADva63p9Ab/vdxuIsz49VyuhSl8QAOp5suPU5DIE56P600SinijTG6tnbSvqaVjtVtdLzXgh03\nKXC5SVkWXak0fQI+huRkU1GYh1aeRYPforqlja1v7iK7PJsxp4/i1FnHc3TROPK0LJyamzxvAR5n\nFsvfepsFixbx7LPPsm3bNq647FKmTh3PyPFD8Ha0o1dtRdtZB4kUmsOBq6wv/soheIYOw/DvzSri\niQQvLF7C4hUreO+91f+fvTsPj6o++z/+PufMnkxWsrNrWERAFqECYt2pu7a1LnWr2E1qXdrn+VFb\nqz6t1tbWXeuCS7VYtVWsVQEVK6IooLigoIhAWJKQEMgy+5xzfn9MiEQIRgQS8PO6rlxXcmYyc08y\nM2fu73LfrF23jmQijtcwKAoG6JMTZkhRAcN7FHBgXh6B1pNDKuSnoczPmnJYWhRn9qKPeefu9yg/\nvBfDfzkSX27nNm/HN8Zo/Ggz8Y0xnKSDL9eHvyDQ9uXN9pKOpmFFCuO1FK/943X279eP3/7vFYwa\neiAOLkmSmbW8boJP3bW8a3/MMmPNNqPeta9Xs/j3C/AXBDjoVweTP7hgm3iyCBIiQNJI0eS2kIqn\nqVtYS/Ur66h9dT12Y5qxE0dyzMTDOHTCGAqyQqTsBDWeZlZ761nlVrOGDSRIkmpOUr9gA02vNbD5\n7XoKE3CAJ8B3KvtxQFkp/mOPwjzoQBJehw3eZv4de4lP7TXtnkdV/1nJe396m5x+OUzsVcb4mgC1\nkSjzazawsLaOI3qVc+aA/RhV3INItsEzx3r54IAdd7guSAQ4MDSEYbkjKAu272JvGSZstXDASaew\n0yk2pDbwVt073Pq/t7P+rXUc8JNhFI0upszsQUVVPqtfX80bry5k/fpaepf0ICcYIJZMEU0miSRS\nRBNxvCE/fUf0YdhJB1AytgdNtBAxkyR8btsyji+Sjqczs0ghT2b5o2swwC7noEQfKmM9CCQzI7qW\nL4Cbl83SNeuY/ug/efqpmRw4dBAHHzyC4h7F1G9o4PnnZmPbNn/6za/55qCBxFcsJ1VTTaq5iZSR\nJl4QYtkgL8sqEmz2xnFMKPQU0DvQm4GBARR68jHSaYxEGjcWw04lsNeuw1y2ksYNq1kdamRdKWzK\nM9q+kr7tP07LMVl57TvUL1jH78/7Jobfor7Q5NN+FmsqDNzWX9v0wUZe+cGLHHLTRErGZfaQeNJQ\nXuNiVceZ9dDbLF+8nl6n9CdUnsX6l9fSsqaZcbccRt6gbZ/vAJs/2sR/z5nFYQ8ds93XxNbWvVjF\noqveINw3h1BZFnVz11NZms8fR4+mvxWCUBCzdwVmcTFmOIzl8WGZXizTwoklePyFF7n9mWeJRqN8\no6SIiuwsQh4PEVzWVPhYE0qyKR0lFUtjJ9IEegTJ6Z9LyfgyCvvkUlZvUrY+TVG9SzDukgp62TSy\nN+uKHKqobVtO0bh8E29fs4BYXZTBPxpKz6N74w1nZv33VMJ08q1HsbZfpG2fzdbCTS5DPnI48MN0\nZvay9UzqmibRgRUsOtjHaxUbiFqfrUooS+ViNbm88MCrLHtsKfufPZBBkw9kTHgIRxijCRvbbhBP\nuWnecT/mdXcJm2ja5vLHKh/ijOXn4202WXbP+3ww/X2+d+gBTCnfj5ykiZsbxhkzFHf4IMj67PZr\n3I28637C++4ntJCp1rf5wwY2fdhAvC6Gv0eAnP65FAztQcDykJ0wyU54yImZbFhYwz/+PIcBQ0r4\nzvmjSYQsWrIgkmXQkmUQCdE2+ru1PDeLieZIRniH4CvsgWF58BpeCj35hKwQkUiEfv368eqrr+5w\nuX1nzJo1i4t+chHR3DgDzhvML488n+H3zMdpbsJTUEjx5J9ghkIYhtm2OX+j0URVaj23briLhJuk\nzFvKD4su2G4hk0/jq7j4jJ/glhiM/M2YbS43MRhjDOFwYyR+w4fxyRqsJ56HZBLD66Pgu2cQHDAI\nADvooynLJepJg+OwKV7PrOY5PPrnx9i8bBMT7jy83W2XJsMctCbM8HcTZK+ow0h8NqsS9xksObyI\ntw40WBNsv6/Dh5csx4+diNPsT7UbXOlHOcd5D6VHVk9efmEeD9/9MJ9+tIKzzjubU75zCpUH9CfS\nshE72gKui+06vJF8h7nGu8TNNJs+aGDtzFWsf241qcYkJcVh/I5BrDlJbUMLOT4ffUp7ECjpQcow\nqK2up6ZmA36fj4qyMrxeD5+uXk1FrzJO/NY3Ob24mJylKzDczEKzxhyoKTGpKTao6pnZhrD1suy8\nZoN+y0yir9Wz5v311NRtZv2mJqobm2mIx8n2eSnw+8nyenCBquZMTOcMquR7A/oT8npJ52fzxjd8\n/HdYjIR3xx+Nw4Toa5SRdNOsZH3b0rQgfo40RjNqdTbWwvcxlq3EcF3SjsN/VlZx1/KPqLeTFBxa\nRnUlPQMAACAASURBVHbvME7KIbKuhfq3NuDaLhVH96bnMb3Zf78eDP8Yhn5oU5oM4w4bjNu3AoJ+\njJYoqZoaqqKr+TTUwIo+UF3a8coiw3Hpv8ph2AcOQ5bZBLZamZi0ba58fSE1yThnXns0b4+xiLc+\n3S0HDqzJYVhVkL7rDHxNMdjc3C55fXnten7z+iKeOP4oyrI6KHAR8OP2KccaPIDAkKH4PUE8WLi4\nuOEQsbCXhPvZc3h9sprHGv5FXbp+m9uqW1TLW799g5KiIv501a8YGLMxX1+MUZu5rmsYuAcNxjl8\nDITbj75nBfLoVXbgDv+vO9KphGns2LHMmzcPr9e7TcJ02GGHsXjx4p0OoDMefPBBXnrppXYzTLfe\neivLli3jzjvv7PD3tpz0Rk37Boekihgxs5rS2vYfwNMWfNrHZNnYfJb3ddlkffZE8OGht1nOAUY/\nDnD7EjR8xBrjNK9cS3bapCS3kHB+AW5OmJTPIE6CKAlsbNLpFG+8/hbPPP0CL7/0GkOGHsCQA4YQ\n9GexevVq5s6dy+DBgznhhBM48cQTGT58eGbzd+uUdHRzHUkniYWJH2/b2m7D680sl/L5M9m56+Cm\nMhv4aN2g76RSuK5Dsn4DsZq12M1NGGkbIxjCysnBzMnBzM2FoB/ba5IiTTQdIZFoYdmqd7j1zkd4\na95HjL5iFKWn9QOPiS/pEoxBIAFBM0DL+hQfv1rFktkfsGntZnoMKiJQHMTxOMSb4sQ3xkk0xElu\nSpKOpPCH/PTt35fDv3k4k8+fzMiRmaULWzZAunamYETCtGl2I0TsCDEnRm2ihvpEPUk7juu6+PBg\nRVK8NO15Hn1wNgccUMrokwbAxB7UFWdGMF03M2tW8+p6al5dR92iDZQOLmH8xDGcctjRHFTWk8Cn\nNfBpFfbadbiRzwpwuMEA9MjHLcwjXpxDKuwn1JTC+nQtxqdr26aT/ftVkn/SqfiKSvDkF2AEAjTa\nTWxOb+bD2Ee83DyXdcl1OLhYrknvGj+eWz/m0/erqIvGKAkFOai4kCN6lhPezibY5f1NFo6w+Kgy\nc1IwHJeSBpP+ySKGlI6hd+FAguGCTEnn1oIVW4pVbG8/15YStC12hEa7iUdf+AcP3/sw695Zg2Ea\nZFVk03tsHyZOHMfYYSPJ9oVI47DJaaLGrWOtXUuds3G7FdJ2hoVJmaeEA30DGe4bTNgKE7bC5Hly\n8Vo+MMy2EulbRKNRnn/+eRYuXEhDQwNFRUVMmjSJ8ePHQyqV2cSaTLY9n1zXpcWbpNmTxAkG2t2W\nYRhkmSGyzax2pZXtSIR0UyPJeEtmw7obJxppIO2kwWvhBvzESNBoxmg0Y6ylluV2FbV2Xebv7Li8\nNuVlfDl+Dr5+XLtE1ptyyX+3hYenzOSUyePp8+0DWJ+ToMlqvz8CoGHJRta9WEV0fYS+o3sy6rDB\n5IdyM41LPZ5MsQzHzSzjsB2CaZOlzyxlxn0vc98//kCv8v3x+oLYAYtmT4pmIjSmm3jo9w/w5lNv\n8KPbf8L40aOpSOZhRpPc/3938rcZM/nN6OEc32/7vfberNnA7xa8TbbXx5ThBzCurATDMPCWleMf\nNZLYgf1I+DPPkKgbp5qNbHKbMOo3E/hkPaXv1FJU77RLLNxRQ3AmHoxZVIQVDpM2XT6Nr2Rp/GNW\nJlZRl6qndn41H93/AXWLNtCjbxF9ynrxxgtvfLUn4Bf4/GCbFw/F6Rx8LUk2WRE2h9u/ErIiLuWb\nvISCeTTle6gyN2C3Lku1MBltDOYQYyh5RuYE7rgOr65/i7/ceDer5q6i78n96X9cJScOP5KRWUPI\nMrPZaG9kif0Jb6c+JLrV5usyejDA6EWJUUA+ORyx3yn89JLz+cffZ3DoYd/gsl/8kBKfF/OVhRjv\nf/zZEhiA0iLcksLMkinThGgMu7GRldmNfFIUZ225QWOOQUs2XzgAkoqkmPfjOQSKgoz94wRMz/Y/\nsIUI0Jcyhpj9GUQfvFk5WDk5eEwPuVZu275RgBtuuIG33nqLxx9/fGf+bduIpCKc88AFzJs2l3hV\njN98/1xOrt+I6Tr4+/an8Kxz24oQxNwENW49f3dn8Ym7lpARZErJj8nzZEqCG9Du/e+fD/+TB26b\nxp9e+Asf2h+xLrmepJskmyD9nTIOMirJN8LgupivLcacMz/zfXaYHmedi6+8IrMvrEdR237HiB2h\nLl2P0/o/q2pew5mHfI8jfnE4I44eRh7ZDDT6UGRstcfPcaC6DvOdZRjvf9Queaot8/HWoWHe6xOn\nxb/taL9pQ3+7mPGB0Vg1fp58aiZPPvIv+vbvy5SLf8YZ3/leW/ECyOzn3ZRsYNPmddjRCFsqQL7m\nvsc77nKiZM7TsdookTUtuI6LL9dHTlmYgfUmo9+2GfSxg9G3J+74kTj9erK5sZma6g0kEkn6FBdS\nuGwlvPke1YVpPqo0Wbmfj+pSk7hn2/gtGwYvsxn9jk3/lQ4dpQyO67I5kWSjYxMPBPBk59Kvbz9K\n+/SB/FySBVlEc72kW08RMTfBm+4HLHFXUL9VMYGeRgkD/PszKDSA8kBPzNYqcfF0jDdbFvByy7y2\nxKmIfMYYB9ArEsasWs/a+Fre6tXEusI0jcs3Ub+4jnRVgtJAD3oWl7LfyP5Y+/v5lHXbFEvIbXQp\n3eAQjIFtZQbwakoM0p/bx2s6ULTZJCfuwcCgKWSzISfdbsDHYxv0acqiIp5DyAgSDcJaXxOP/PIJ\nsAwOuXkiXsPDSGMg441h5BrbqdybSsHmZla+/xHfv/z/uP2XP2Jk/z6Z56LP2/blZoewcvPICvcg\n28jCZ2x9DjYzz/3W6p9RJ8bG1Ma25XNpN838ljdZGHm7bQ+ghclgoy9j00N48W8vc89dj3Dad47j\nh+eeTd+GGNE5L2Fv3kTKcVi8cTPzUmleX7OWtRvqcB2Xgb178vq7Szp4lnyxTiVMkydPZujQofz8\n5z9vS5gaGxu57rrrqKur4/7779/pADpj3rx5TJ06lVdf/awS0M9//nP69+/Pz3/e8ebfLSe9e56+\nm9JQkMDmOOZbH+CsXI3T3IwZCuHr3SczQ1CWTzLLS8pr0GzE8Jk+sswQfjPT1yBkBvGnLQwnU24c\nx828gxomhmWC9Vk56YSTIOmkwHXwWj5S0RTzXp3HihUrsG2biooKJk6cSHFxcVusW9YJb+E6TqZc\ndDzT7d3werGyw5gdTMtuzXVd3FQKNx7HiccyPU0ALAvT78+UYfT6tqn3n0hEiCWaiMeamf/GfH57\n1R9o2tTECUeNY0Df3iQ9Fp+sreHFF14lEoly3MnHc/J3T2XsuLGkzUwZYpfM+u2Um8Jv+DN7ilyT\nXG/udiv1dMRxHWJOjISbzFQIMwyMlI2ZtjFccF2HDXU1PDDtIf7+0GM0NzXTJyebmJFm3eYWAgEP\nQweUcUi/Co7vM5jicB5W2oW6Bpzm7Zd17QwrN4+cI44ma/hIvAWFWDk57S53XIdN9maa7GYSdoLN\n6c3kxj0Y0Tge16QoHcZsjOAmE5lNpZaVSQwsT6ZaXDqFm0wSTbbQkthMKhUnneWFvDy8+fn4A2Hy\n8nsS9ufudMNi27Vbk7tGPo4v5+WmuaxOrvniX2yVb+VR7C0iz8ojzwyTbfvx2yZ+w4/P8GYKF1iZ\nx+RYJo5ltFamtDMFNqwwBZ78TDUuwyDbzCbPs/OPpzNiToyEk8TFxW/4CJiBHbcCSKdxYtG2CkKG\nmXkc+Pzg8+J4MiP/CSfTB2VTehPL4yv4OP4JVZuq+NfZ/6B4RClHTj2cvo1Z7N+QRe4qgx/e8FeO\nO+kofnzphWBmNilvdltYnV5DjVNHnCQmJrlkU2LkU0aPrWYdDPBYGKYn897juOA6rbWbM5dfd81N\nLP/4U+771zSC2ZkTkUum7PI1l1/N+2+/z/0zHqCwKLNkwWt4yXey8EfTLHjtNS645OcMLi3h54ce\nwv4+L+nmJj6o3cBf33qHd2rr+NWEb3D80APxFhfjK68gMGAw3h49MCwLKztM2m/RYmSq4CXT8UxV\nxGQSN5WESAxvdQPW5gi+/EIC5b3wFxZh5ebj+ixiTrzt/7TFltLmBmDGTD79aAVu1OWUo0/e5c+R\nrW05d4y9fzyTSsczxOiPf6viAxui6/kwtowPQjXU+bZflMHCYoRRyaHGCHKNrO1eJ+3aPLv2Nf7+\njyeoenk1kTUtZPcOk90nTHbvMMHiEIHCAMEeIQ4oHMSo8HBCER+166v5eOknvP7KG7y94B3OOu87\nnP39U+m/X/tk16pvxJr/Ls6SZZD84r0d0LqfqjifaFEWkWyLFp9N1GfT4k/T7E3RHHRoCWRK8acc\n+OcV/yG3OJez/3AGYTNTJS3LCJBFkByyCBPKvH97fVi5uVheP7meXPKs3HavwdraWoYMGcL8+fOp\nrKzsVKyd8e9NzzJ94xNser+e6t+txNeS4uZhgyjNCuGt6EmPM8+BrCzWU8fbzjKecl8B4DTjm4zw\nDqEg0IOcQD6eYBYxM0WDvYmVK1dyyoSTefi5Rxh44EDcRBInHsWJt/ZW3KKxGe9/XsH9ZBUA3uJS\nCs86F09eHobHi6+kdJvS0Sk3RV2qnriTmQZY9NpCLjnnZ/z7jWcoCGdlBoZSKYy0gw8PPrz48OLg\nkEzFSCz9EOft9zBWr//sfwrUFRpUlxpEgwam5SERKKKu0c8H7y5n8TsfUr2+hlPPOo0fXngRBx94\n8A7/pik3RX20lubmDTixTEVh23VYTQ3r3Do20MAmt5kGmtol+wA5TS4Hv51m9Ds22b5c3N7lmQ/Y\nGzcTrV3HuwfA2wdZ1BZv+/5sYNCDPEqNAvajJwOMXoRibma/YE0dRiTW+qHdj+Xz4w2E8OQV4M8r\nwJ9XhKeDEt+Q+dyUKWTQ0q54QtxysAMWWcFCfN4dl6NvtJt4fvNs3ovt+EN5CQWMN4YxxOif2W/t\n9QJG5vzv2FSzkQ/cT/nAXcnm7VSa21pxLER/s4L9A/3pbZS1S0oA4m6SFazlfWcFy1nTNpDzeXbC\n5r9nz2LM4aO45meXkb2d2W7ILD20MGlujvKd0y7kogvP5rwzTieADx+Zc7rruthkKrta25xnDaxw\nGE9u3narwdamNhBz2j9nMlWNHXKsMEZrtV3Xtmlc18C0mx/g8aefoXdFBT3LStlQVcWyVavpHc5i\nYkUZ48tK6JsTxgXWRyJ899kXd/j33JFOJUwrVqzgwgsvJBqN0tzcTK9evaiurqa8vJw777yT/fbb\nb6cD6IxUKsUxxxzDlClT+Pa3v82yZcv4/ve/zxNPPEG/fv06/L0tJ70nZz/FgJ77w+Ym7OZmth4n\nMiwPnrw8zOwwLi5JN0WydWrQZ/i+UpOrL+PzCVN3YKfTzJ33CjNmPMUny1cQ8PuprKzkpJNP5Rvf\n+MY2m4Nd1yVNuq1s+5YeRbu7iahr23y6bAkffvge9qY6Slua6VG9Aeo2dvg7hj9AYL/98fftj7e4\nBMPvx00mSG/cSKq+jvTGetL1ddiRSKaiUmkZwcFDCA4egpUdxtujaIdladNumpbWWTLLsAgYAUKJ\n1kaV8XhrOe1M5SnD6830qXKdtr5VbtoG2ybmxLFNFzPgJ5hbRCAQ7vA+v6y0m6Y+tZGoE2N9sprF\n0XdZlVhNTWoDdmtyk2flUuwtoqevgp7eCnr6ysmy2n/421K+fksDR8d1SLvpttK3Li4pN932/PYY\nFkEzSJaVRbCLe4XtKlE7SqPd1PZG37ipkXOP/z49e1dw/kVnsHbVWm778z2cevqJ/PR/fpoZtPhc\nD4u2Eu6ts62ZZKh1lq21GbHBtn8rAwiYAbKsLDy2xUU/uIjq9dU8+uijlJSUsGr1Ks477zyCwSD3\nTb+PUDgLA4OgGSCwVY8X13Forq3hpptu4q4HHsTr8+K6Lh7Lw/mnf5dLJl9IaKsBG8O0MAN+zKzs\nTHPZz/0f026aZGtPFCvtYsVSmdK1joPh87U14Py8pJOkxcm8drb0VLHwkGWFyLHCuzWx3mLLueOv\n/7iZ8uKizCb5Dt6f693NLHfXspHNREmQ48mh3FfGAf6BBDytHzpsu7Uxpd1+kM3rxTBMonaUl5r/\ny+vV89m0ahMtq5tpqWrGrk8T2OyDBkhE4qRSabKyQhQW96DygErGHjqW8088j09jKzMNOG0DXxp8\ncRszmmwriewkEiRWryK5eiXpTQ3YLS2ZunZ+L3ZeNm5+GPJzcUt6ZJqUfonXZDQa48JzL+egEUP4\nn19d3Doz7MOwjNZBARPDH8D0+vAaXoq8PbZ7Xr3ooovIzc3lxhtv/PL/sB2oTW3gyjXX0OJEGO8d\nRdXtS5l+/2P8dfxoBhfkYwQCGBO/QcNBFdzh+w8xElTSi7PMYyk3itolyoZp4VgWR33320w4chw/\n+PFZmcGAzz83Ekk889+F+YvbEtXggcPIP+k0TJ8v87coLcOwOl563WxnSvkn3RR/vvpPzH9lPo/O\nfIzcYA5ZZogA/kxVw2gUJ5FoVxbadh2aN1fT9NESWF+D0dhMzHWYs3odL1etY8GyT0imUowYOZQR\n40YzasJYJhwygdJQyZd6fbXYEepT9ZlKsukUbiKBm7YzFRdTKXBsWtwoK9x1vOMuZyWfJXGmnVkm\nVlLnYltQXWJS1dNot0wwj2z2M3rSk2JKrCKKyMOLud3XohdvprAE/nb/sy9iWBa4mfc/w+PB9ZpE\nvDYtZoKUB0xP+9syoG1APWAGsVvf5+JOvO39vyqxhtdb3uSD2NK286AXD/vTk4PNwfSjItOGIhjE\nCmTh82ReD0knhZ2I4SYT2NEYrp1iPZltAg1uI0kniWk75HhyKTIL6GeUb3cZb0diboKPqGK1W0Mt\nDSTcJD68FBl57E9PCuqyOOe0KVz5259z1DETMQ2rbRWG5ZpYNlgY2LbN9378EypKS7nl/67t1H2b\nPn+mwnE4Z4efnVzXpdFuZLPd2DbT+nmWYVHoKSDbysJ1HCJ1dby7cAFVa9bQIz+fyp4VhD75iOgH\n75Ou+6wokZmVRf87dm5vJHyJsuKJRIJXXnmFVatWEQgE6NOnDxMmTMDawQt+V1q6dCnXXHMNDQ0N\n+P1+pkyZwrHHHrvD39le41o3nc70DHKdTF+fwJ7vdL493TFh2ttk+s5EMg1OYzFS9XUk11aRqtuA\nm0ximAaegh54y8rxVfTc4clqewzLwpNfiJXd+eaye4Nmu4WN6Y1tb06u6+K0jg5tbxbGMkyyrWyy\nzCx8hrfTs4Zbnt/d4fW2u8SdOE12pldbU2MT0+/9O//82xP07t+H75zzHY477Tg8hgfLsEi6yQ5P\nCNtjGAa+LcsuWxtmb2+2zLZt/ud//odp06ZRXl5OTU0NP/vZz7jqqqs6/X4da26mek0VyXic/fr1\nay1PnGl6a1iZnlPdvdnxV7Hl3PHgcw9RUlGaWWufSkEyiZNO48Tj4GzdzNHCygphZmVvt5ljwAyQ\nbYUIGAEsw8oMqDgRmtJN7ZZ52a5NbWoDcTdBrpVDvpW3bU8bwG/68Zt+gkaALE/Wds8dTiKRaQXw\nBWXJITNbmiRFnCRJUm19lFzc1qEvF8iUpnZaL/ssIJPGlhjnnv5jTvreSfz4f6dsk9h7DIscK0yu\ntf3G5M8880xbdbvc3NwvjPfLSDgJHqz7Oy83z8Vv+PmZ9wxem/Ea11/zF/5+1ET6BDODBo9+28cH\ng038aZOf1h1Gn9Kh5Hm3LW9/41/vZvZ/X+HZR/5G1IrTTLStnLqRSuNdtBT31QW4scxSWzMYJO9b\nJxIcOjzTj6gTydLnOY7D9773PQD+9re/EdzOShMnkcBuaW43KOy4Du+v+4j7HnmUJ//5LIMGV3LU\nMYcybsLB9O7XG29BIcFAmB6ewp1uOO24TmuftggJJ9Hu+eykU7ixKHYkAq5DnbuZRe5S3nGXk2D7\nM54+18MQsz8jjAH08lTgCWVn2rts1erEdR3cWBQjliSUNMkiiG87SZJhWW2rNwzTzKzo8Hoz719b\nH+9AwkkQdxK4OG0tTHyGr8NzXtSOUp/eSLq1J9SWFiYuDjluNqaTWRFgen3keHLItrK3GTzY0vOx\nxY4Sa96I3dKcGTzriGGAYRLER9CThc8TIJ1OkLKTuB6ThMfF9png8Wb+Hlv35HSdz/ohOpneme+/\n/T6Tv30RM2bPYNxB49oGQrdw0mmmXHIJy5Yt4/nnn8dnmpkenACtya5rO5kE3nUz54tg8Et/3kq7\naepS9dvMNoWtbAo9Bdv2UHVdnOZm0ps3teszaUejuPEYhseDp7gUf2kZO2uvaVy7M7aXMHVXSph2\nLddxMg114zGcSKTtBWQYZqYRrs+HGQhmRnhNs3X0t3WGZ0sTN8NofZEbmP7uk1zvDh29OW1hACEr\nRNgK7zOzQruT4zrEnTgJN7MMcEty4/1cgpl0kiTcJAknQcJNkHRTuK6LaRh4Wmdnt8x0B77k3z0S\nibBkyRJGjBjRbh+CfLGtE6bynuWEzBABM9A6W+4SdWI0xjZi22mwTEzv9v++ITNIvievww+jCSfB\nhlR920xaR7bsuQtb2ds8D77o3PFlEifT68PwZxreGn5/6+i7m3n/dBzAwHUdUk4Kx8jsp0h7IOkm\nWbtuLacdfioXTpnMRT+7CMMw8Rqe1pH4jpcyffjhh3zzm9/kP//5D2PGbFs8YVdYGv2IP1T/mYSb\nZExwJMelDubxR5/ivjsfYfrks6jOqeFfJ2Y+kJ/8bIqDF9tgefD17EVw0GBCQ4djZYdZvGQJJ59/\nAfOefpreFeVtt5+INBFbuIDogjdwoq1/Z8tD9phvEJ5wWNs+DdPnx1tS+qU/PALEYjEmT57Mhx9+\nyP3338+IESO2ez03nSbRsJE5s2fz14cf5rUFC/neqSdz9vdPo1e/CjDAyg7jzykg25O9w//Nl2W7\nmVURCTeB7dqts8xJbMfGibRgt7SA65B0U3zgrmQNtWx0G/HiIdfIZn+jJ/2pwG/4sHJy2xW3gs9m\nd4JmsPU16W/dB53IzM67TiYhaN1+0BWDOq7r0uy00JhubFfOGjIzI5mBg5xODTSm3BQtqWZamuuI\nx5oyjb63rDbweDF9fsLenMze3x3MqsWdOJvTjW1tUTpiALmeXP7z6DNc9ZurmDlzJoMGDWq73HEc\nrrzySmbOnMkrr7xCzue2JOwOUTtK0k1iGiYBI/CFTaxdx8nMojdvWyDnqzY97/DZdPDBB3f65Lxg\nwYKdDkBkdzBMEysrK3OiKuyRSYIcp8Mu41/3j/8ew0OZr5S4E29bSph203gMD1lW1h5bCrWvMA2T\nkBUixI6XS/hMHz58hK3PPhi4rrtLEtKsrCzGjh37lW/n66zQW0BvX69t/h8BM0B+dh4RJ0LEiZJ2\n06TdzHJk0zAJmkFyrJwvXNLtN/309JXTZDfTZDe3S5y2LLXMzOaGOj2T+3mm34+vpBQnmcSJtLS9\nFxqG0bo02MQMBDOjwB2Mthu0/zC2vY/7JX2LeeXlV5g0aRLNNU1cf/312+/VtJWZM2dy/vnnc9NN\nN+22ZAmgzFfK4TkTmdn4IgtjixlVMIzTzzyZho2bOf+xfzHy4fGYQP+6ACNXeYFmsNMkV68kuXol\njbNn4vbuy3nT/sYfLr+cXiXF2JEIqep1RD94n9iS9z7bK2yaZB00ivBhR+DZarbsqyRLAMFgkEce\neYR77rmHk046iT59+nD44YczYMAAsrOzicViVFdXs3jxYl544QUqKiqYfN65PHTPPWT5fZmR/kCg\ndRZ0555LX8QyrEyfNtov2044CSLeKE1ZjaSiLfiiLYxID2AEA7a5DcPjxcrLx+sLtCVGHsPCxMRr\neLd5LRqWhREMwRdv794jDMMgxwoTNrNpdlrakpRsM4ssM/Sl3tu9hpd8XwH5hZnKp0knmVmZgIOJ\nRcgMdup9IWAGKPUFSDpJNtuNROxIu5nALQMyeVYuPtPHueeci2M7HHbYYfzxj3/kpJNOYsWKFVx1\n1VU0Nzczc+bMPZIsAZ06j27NME28hT2wsrIzA0Xxz5LEr3pe7XCG6amnnmr7vq6ujunTp3PMMcdQ\nWVmJ4zgsW7aMOXPm8MMf/pCzzz77KwWxu2iGSWTn7aoP7iJ7m646d2QSr8xseGeXu3a3c8fGjRs5\n66yzqK6u5o9//CNHHnkk3q0KG8RiMebNm8ddd93FggULmD59OhMnTtytMdmuzafxldxUcwcN9iaC\nRoDv5JxIvKmB31zzR+qX1XHC/Sdzceg79DJKCTVlkqX4ik+ILV2Ck0jwq9cXEkvb3HzYIdu9D8Pr\nI2vUwWQfMh5PbvulfGYwhLeoeJclKqlUitmzZ/PGG2+wcuVKWlpaCAaDFBcXM3z4cA477LDdvrd8\nZ2yZfWm2m4nFmjJFYVKZpVuYJr5gmHB2D7KtrF068yXt2a5NxIkCLh7DS8Dwb/e9Zu7cufzpT39i\n9uzZVFZWcvrppzN16tR2r+fuzrUzhdoyhWe+WtydWpJ34YUXcskllzB8+PB2xxctWsSdd96526vk\n7SwlTCIi8mXp3PHVuK7LE088wY033siKFSuorKwkFAqxYcMGVq1axYEHHsh5553HueeeS1bW9isI\n7mobUnV8FFvOA/UPt1ua5DouC654jYpEIdPu+Au9PaXtBoqcZJKrr7qKma/O4+EjJ5L1uc+V3tJy\nQsOGk3XQKMxQ+5FwwzCw8gvw5OzafVn7gi3LkW03jdW6ZPmLlltJ17Bte4/VK+jOOrXG5u233+aA\nAw7Y5vjw4cN3ew8mERER2XsYhsHpp5/O6aefTnV1NatWrSISiVBcXEz//v3J7oLCOTlWDhW+ci4q\nuoBHNv6DjekGAPoEevOzu87nynOv5Efn/4IHbrqJstaWH/FEgqnXXc+Lby7kxRkzKM7PI1W3ASce\nwzAtvMUl2231YRgmVk4OVk7uTi/B29dtWY4s3Z+SpYxOJUzl5eU8+OCDXHDBBW1rkh3H4ZFHNJmA\nUwAAIABJREFUHqGkpGS3BigiIiJ7p7KyMsrKdr4y1a4SMP1kW1lAMZeVTGnbe5bXWrnvsWef4q7f\n38boScdx9OGHE87O4oU5LzN6+DDmzniS/Nb9SL6y8g7vwzCMTLGC3Lzdtk9IRLpGpxKmqVOncskl\nl3D33XdTVlaGbdvU1dWRSCS4+eabd3eMIiIiIl9JgSefiBPFxGxXaMVreCn2F3HN737HRT/+MbNm\nzSIajfLTSy/LbEVIJLCbG7GjmSatn2cYBlY4J5MoaTReZJ/UqYRpwoQJzJ07l7lz51JbW0symaSk\npIRx48ZR3Dp1LSIiItJdeQwPJZ4iNqTr2nqg+UwvxZ6itk3vPXv25MILL2z/i8FMFUGPbeNEI5lG\nsXamOIcZDGJlZStREtnHdbpOcHZ2Nscdd9zujEVERERktwlZIcqNMmJOHI9hkWV1vuiEYVmZmaTw\nbgxQRLqlTiVMX9STSX2YREREZG/gM1WRTUS+nE4lTL/61a/a/WzbNlVVVcyZM4fJkyfvlsBERERE\nRES6WqcSplNPPXW7x4899lhuueUWTjnllF0alIiIiIiISHfwlepeDh48mIULF+6qWERERERERLqV\nTs0wLVu2bJtj8XicWbNmkZ+fv8uDEhERERER6Q46lTCdcsopGIaB67bvP5CTk8M111yzWwITERER\nERHpap1KmF566aVtjvn9fgoKCjDVzVpERERERPZRncp2LrnkEioqKtp99ejRg0gkwpFHHrm7YxQR\nEREREekSO5xheu+991i8eDEfffQRDz/88DZL8qqqqmhoaNitAYqIiIiIiHSVHSZM8Xic+fPnk06n\neeCBB7a5PBAIcOmll+624ERERERERLrSDhOmMWPGMGbMGC688EKmTZu2p2ISERERERHpFjpMmFpa\nWsjOzgbglltuoaWlpcMb2XI9ERERERGRfUmHCdP48eN59913ARg9ejSGYWxzHdd1MQyDpUuX7r4I\nRUREREREukiHCdPWS/Aeeuih7SZMIiIiIiIi+7IOE6bRo0e3fT927Ng9EoyIiIiIiEh30mHCdMop\np3R6Vumpp57aZQGJiIiIiIh0Fx0mTEcdddSejENERERERKTb6TBhmjJlyp6Mg8bGRq666ipmzpzJ\n/PnzKSgoaLts7ty53HjjjcRiMYLBIL/4xS+YOHHiHo1PRERERES+fnbYh2kL13WZPn06c+bMYcOG\nDQCUlpZy9NFHc/rpp3/lIBobGzn99NM5/vjjt7msvr6eSy+9lHvvvZdRo0axePFiJk+ezOzZsyks\nLPzK9y0iIiIiItIRszNXuvbaa7n11lupqKjgxBNP5IQTTqC0tJQ///nP/O53v9slgdx+++2cdtpp\n2xyfNWsWAwYMYNSoUQCMGDGCyspKXnzxxV1yvyIiIiIiIh3p1AzT008/zfTp0xk0aFC742eddRZn\nnXUWv/71r79SELm5ueTm5rJ27dptLlu5ciX9+vVrd6xfv34sX778K92niIiIiIjIF+lUwhQMBunf\nv/82x/fbbz9CoVCn7ujZZ5/l2muv3eZ4OBze4WxRNBrF7/e3O+b3+4nFYp26XxERERERkZ3VqYRp\n8uTJ3HbbbVxyySV4vV4AUqkUd911FxdccEGn7uj444/f7h6lLxIKhYhEIu2OxWIxcnJyvvRtiYiI\niIiIfBmdSpheeOEFli1bxiOPPEJFRQW2bVNbWwtAnz59ePbZZ9uuu6t7MlVWVm5zmytWrOCMM87Y\npfcjIiIiIiLyeZ1KmMaNG8e4ceN2dyzbdfTRR/OnP/2J+fPnc8ghhzBv3jyqqqrUJ0pERERERHa7\nTiVMu7sn08yZM7n55ptJp9MAnHHGGZimyR//+EeGDRvGbbfdxg033EA0GiU7O5s77riDvLy83RqT\niIiIiIhIpxIm27aZM2cOq1atIpFItLvMMAwuvvjirxTEpEmTmDRpUoeXH3LIIcyYMeMr3YeIiIiI\niMiX1amE6fLLL+fFF1+kZ8+eBIPBdpftioRJRERERESkO+pUwjR37lyefPJJBg4cuLvjERERERER\n6TbMzlyptLSUXr167e5YREREREREupVOzTBdeeWV/OY3v+Hss8+muLgY02yfZ5WXl++W4ERERERE\nRLpSpxKmdevW8fLLL/Pcc8+1O+66LoZhsHTp0t0SnIiIiIiISFfqVML0l7/8he9///scfvjh2xR9\nEBERERER2Vd1KmEyDINLLrkEj6dTVxcREREREdkndKrow4UXXsgjjzyyu2MRERERERHpVjo1ZfTG\nG2+wZMkS7r777u0WfXjqqad2S3AiIiIiIiJdqVMJ04gRIxgxYsTujkVERERERKRb6VTCNGXKlA4v\ne/XVV3dZMCIiIiIiIt3JTlVxqK2t5Z///Cf/+te/qKur4/3339/VcYmIiIiIiHS5TidMjuMwZ84c\nnnjiCebNm0fPnj0588wzOe2003ZnfCIiIiIiIl3mCxOmNWvWtM0mJZNJJk2ahMfj4b777qNXr157\nIkYREREREZEuscOE6fzzz2fRokUccsghTJ06laOPPhqfz8czzzyzp+ITERERERHpMjtMmN544w2+\n9a1vcdZZZ3HwwQfvqZhERERERES6hR02rv3Pf/5DYWEhF198MUceeSS33347a9aswTCMPRWfiIiI\niIhIl9lhwrT//vvz61//mldffZUpU6bw2muvccwxxxCLxXjppZeIx+N7Kk4REREREZE9bocJ0xZ+\nv59TTz2VRx99lH//+9+cffbZ3HnnnUyYMIHf/va3uztGERERERGRLtGphGlrlZWVbbNOV155JR9/\n/PHuiEtERERERKTL7VTjWvhs1unUU0/dlfGIiIiIiIh0G196hklEREREROTrQgmTiIiIiIhIB5Qw\niYiIiIiIdEAJk4iIiIiISAeUMImIiIiIiHSgWyRMjuNw8803861vfYtjjz2WM844gyVLlrRdPnfu\nXE466SSOPvpoTjrpJObOnduF0YqIiIiIyNfFTpcV35X+/ve/89JLL/HYY4+Rk5PDvffeyxVXXMGs\nWbOor6/n0ksv5d5772XUqFEsXryYyZMnM3v2bAoLC7s6dBERERER2Yd1ixmm4cOHc8MNN5CTkwPA\nEUccwapVq0gmk8yaNYsBAwYwatQoAEaMGEFlZSUvvvhiV4YsIiIiIiJfA91ihmnYsGHtfp49ezZD\nhw7F5/OxcuVK+vXr1+7yfv36sXz58j0ZooiIiIiIfA3tsYTp2Wef5dprr93meDgcbjdb9Nxzz/Hg\ngw/y0EMPARCNRvH7/e1+x+/3E4vFdm/AIiIiIiLytbfHEqbjjz+e448/fofXufvuu5k+fToPPvgg\ngwYNAiAUChGJRNpdLxaLtS3fExERERER2V26xR4mgJtvvpnnn3+exx9/nMGDB7cdr6ysZOXKle2u\nu2LFCgYOHLinQxQRERERka+ZbpEwzZs3j3//+9888MADlJSUtLvs6KOP5pNPPmH+/Plt162qquKo\no47qilBFRERERORrpFsUfXjggQdoaWnhzDPPbHf85ptvZtCgQdx2223ccMMNRKNRsrOzueOOO8jL\ny+uiaEVERERE5OuiWyRM06ZN2+HlhxxyCDNmzNhD0YiIiIiIiGR0iyV5IiIiIiIi3ZESJhERERER\nkQ4oYRIREREREemAEiYREREREZEOKGESERERERHpgBImERERERGRDihhEhERERER6YASJhERERER\nkQ4oYRIREREREemAEiYREREREZEOKGESERERERHpgKerA9idbNsGoKamposj+WIej4e1a9d2dRgi\nInuF0tJSPJ7dcwrTuUNEZN+0s+cOw3VddzfE0y0sWrSIs88+u6vDEBGRXeyll16iZ8+eu+W2de4Q\nEdk37ey5Y59OmOLxOEuWLKGoqAjLsro6HBER2UV25wyTzh0iIvsmzTCJiIiIiIjsYir6ICIiIiIi\n0gElTCIiIiIiIh1QwiQiIiIiItIBJUwiIiIiIiIdUMIkIiIiIiLSASVMIiIiIiIiHVDCJCIiIiIi\n0gElTCIiIiIiIh1QwiQiIiIiItIBJUwiIiIiIiIdUMIkIiIiIiLSASVMIiIiIiIiHVDCJCIiIiIi\n0gElTCIiIiIiIh3wdHUAItLe//t//4+nnnpqh9e5/vrrmTp1artjlmVRWlrKcccdx89+9jP8fj8A\nqVSKm2++maeffprGxkaGDBnCr3/9aw488MDd9hhERGTPOuecc1iwYEG7Y+FwmNGjR3PFFVdQWVnZ\ndvzdd99l2rRpLFq0iKamJgoKChg3bhw/+tGP6Nev354OXaTbM1zXdbs6CBH5THNzM/F4vO3nSZMm\ncfrpp/ODH/yg7VhLSwuTJk3i+uuv59BDDwUgHo+zcOFCrrvuOk444QSuvvpqAK699lqefvpprrnm\nGoYOHcodd9zBK6+8wnPPPUdhYeEefWwiIrJ7nHPOOfj9fq6//noAHMehqqqKv/zlL6xZs4bnn3+e\ncDjM008/zdSpUznttNP47ne/S1FREWvXruXBBx9k/vz5/PWvf2Xs2LFd/GhEuhfNMIl0M+FwmHA4\n3PazYRiEQiGKiorajiUSCQBycnLaHe/VqxcbN27kpptuYurUqbiuy+OPP86UKVM44YQTgMzs1OGH\nH85jjz3GT3/60z30qEREZHfz+XztzgklJSXcdtttTJgwgeeff54JEyZw1VVXcdFFF3HZZZe1Xa+8\nvJwxY8Zw+eWXc8UVV/DCCy8QDAa74iGIdEvawySyjxkwYAC2bVNdXc3q1atJpVKMHDmy7XLLsjj0\n0EN58803uzBKERHZE3r06EFBQQHr1q3jiSeewOv1djhY9otf/IL6+npmzZoFZGatBg4cuM3Xbbfd\nticfgkiXU8Ikso9Zu3YtpmlSVlaGbdtAJknaWl5eHmvWrOmK8EREZA9qaWlh8+bNVFRUsGjRIoYO\nHdq2x/XzysvL2W+//Vi4cCEAt912G/PmzWv7uvLKK/F6vRx22GF78iGIdDklTCL7CMdxePfdd7n3\n3ns57bTT8Pv99OrVC9M0+eCDD9pdd/ny5UQikS6KVERE9oSNGzfy29/+ltzcXI499ljq6uooKyvb\n4e+UlZVRW1sLZAbXioqKKCoqIhaLccstt3DZZZcxbNiwPRG+SLehPUwie7HLL7+8bfYolUoBcNxx\nx7VV0AuHwxx33HHcc889jB49mgEDBvDkk0/yzjvv4PP5uixuERHZ9f773/8yYsQIIDOIFo/HGThw\nIHfeeSe5ubkYhoHHs+OPfvF4nFAo1O5YMpnk0ksvZeTIke0KEIl8XShhEtmLTZ06lXHjxgFgmiZF\nRUUEAoF217nqqqv45S9/yamnnoplWXzzm9/k3HPPbVujLiIi+4axY8e2VUg1DIPs7GwKCgraLi8r\nK2PdunU7vI3q6mrGjx/f7tgNN9zAhg0buO+++zAMY5fHLdLdKWES2YsVFRXRp0+fHV4nNzeXe+65\nh4aGBizLIjc3l6uvvrpdTw4REdn7BYPBHZ4TRo8ezV133UVdXV27anpbrF+/nnXr1jFmzJi2Yy+8\n8ALTp0/n/vvvb5d8iXydaA+TyD5u9uzZfPjhhxQUFJCbm0symeSll17iiCOO6OrQRERkD/r2t7+N\nx+Phzjvv3O7lN954I+Xl5RxzzDFApojQr371K374wx9yyCGH7MlQRboVzTCJ7OOefPJJVq5cyQ03\n3EBOTg633norBQUFTJo0qatDExGRPaikpITf//73/PKXvyQSiXDmmWdSUlLC+vXr2xrXTps2DZ/P\nRyqV4rLLLqOsrIyzzjqLurq6ttvxer3k5eV14SMR2bOUMIns46677jquvvpqJk+ejG3bTJw4kfvu\nu+8LN/6KiMi+57jjjqNPnz7cfffdXHzxxTQ1NVFQUMCECROYMWMGvXr1AqC2tpb33nsPgIkTJ7a7\njTFjxvDwww/v8dhFuorhuq7b1UGIiIiIiIh0R9rDJCIiIiIi0gElTCIiIiIiIh1QwiQiIiIiItIB\nJUwiIiIiIiId2KcTpnQ6zdq1a0mn010dioiI7CV07hARka3t0wlTTU0NRx55JDU1NV0dyhcyDKOr\nQxAREXTuEBGR9vbphElEREREROSrUMIkIiIiIiLSASVMIiIisldzXberQxCRfZgSJhEREdlrNdst\nrE2uU9IkIruNEiYRERHZK9muTV2qnpSbJupEuzocEdlHKWESERGRvVLCTbZ93+xEujASEdmXKWES\nERGRvVLCSbR9H7OjpF31zhKRXU8Jk4iIiOyVtk6YXCDmxLsuGBHZZylhEhERkb1Swk20/9lJdHBN\nEZGdp4RJRERE9jppN43tOtiuzfL4J0TsCMmt9jSJiOwqnq4OQEREROTLijsJEk6CRxue4OP4J/Tz\n9+WHxRfgui6GYXR1eCKyD9EMk4iIiOx14k6cB+sf4eP4JwCsTKxiY2ojKTfVxZGJyL5GCZOIiIjs\ndaqSa1mdXAOAhQXAe9El7UqNi4jsCkqYREREZK+zOlEFgN/wMyrrIADejS5R4QcR2eWUMImIiMhe\np6p1dqncV8bw0DAAatMbWNWaSImI7CpKmERERGSv4rgOa5PrAKjwltHH14scKwzAB7EPuzI0EdkH\nKWESERGRvUrCSVCdrAWgwleOaZj08vUEoDpVS9pNd2V4IrKPUcIkIiIie5XVyTWkySRFFd5yAEq9\nJQDUKGESkV1MCZOIiIjsVVY0fQSAHy+58UxLyS0JU12qjqgT67LYRGTfo4RJRERE9hpOLMqKluUA\nlNEDt6UZN5FoS5hsHNYl1wPw5ptvct111zFnzhwcx+mymEVk76aESURERPYKruuSathIrbsRgFKj\nEB9eipo95Ft5+AwfAKsTa7j99ts56aSTqK6u5ic/+QnXXHNNV4YuInsxT1cHICIiItIZdnMTbirF\nJpoByCNMKYWYaYOAbVLqLaYquZZ//f2fzLvlFebPn0///v2prq5m5MiRHHXUURx66KFd/ChEZG+j\nGSYRERHp9lzHwd68Gcd1aXRbACisasFtyXwfiLqUekvYtLSBx3/7KE899RT9+/cHoKysjPvuu4/z\nzz8f27a77DGIyN6p2yVMjz32GAcddBDTpk1rO9bQ0MBPfvITjjrqKI455hj+8Ic/aC2yiIjI14gT\njeA6Nhsb12Abmc8AubMWUXPbTSRrqglGbbJbQrx28cuM/c14Bg0Z1O73jz/+eIqKinj22We7InwR\n2Yt1q4Tpmmuu4fXXX28bEdri6quvpri4mBdeeIEZM2awYMECHn300S6KUkRERPY0u6kJOxLh0+c+\nO//ntpi4yQSbZvwLUjYPXHwf5Uf0oviEcjalN29zGxdffDF33HHHngxbRPYB3SphOv7447nlllvI\nyspqO9bS0sKLL77IBRdcgGEYhEIhzjjjDJ555pkujFRERET2FCeRwEkmaH71v2wyM/uXvI5J2Wln\nA9BQtZrvfO8MiNkc9L+jAVifqt7mdr773e/yzjvv8PHHH++54EVkr9etEqbRo0dvc2z16tUA9O7d\nu+1Y3759Wb58+R6LS0RERLqO3dyE3dRIy8I3acw1AMgxw/jK+/JUwuGkZ2ZRkIjxxD13EfQFAFif\nrNnmdgKBABdccEG7Zf8iIl+kWyVM2xOLxfB6vZjmZ6EGAgFiMTWlExER2de5joMTaaHp1f+CnWZz\ngZf/z955xllVXX34OeX2O3f6DAy9F0HpIKgQQVBQwF6CNXaNjSiJmleNmlhij7Ergl2RAPaCICKi\nKEV6FZjeb7/3tP1+uMzAMAVQMBrPw28+cE/Z+7S991rrv9cGcNeqjDtnCh/8sIN7RwzhjsH9cG4v\nJEvJBKBML2/yfGeddRZvvfUWQoif6xJsbGx+5fziDSav14umaQ2SPMRiMbxe73+xVjY2NjY2NjY/\nB2YkjBmNEv3uWwBCHTMxEgavnPMyIwYP4p1XXuaooUMA0FZ9T7aUDkC5XtHk+Y444ggkSWLFihU/\nzwXY2Nj86vnFG0wdO3ZEUZR6aR7Ali1b6NGjx3+xVjY2NjY2NjY/B2Y4RHTVCjANJIeD2kyFoo93\nkNMqm3tuvx1JkvEd3h+AxIb15OipedAVRtMGkyRJnHbaabz11ls/2zXY2Nj8utmnwaRpGnPmzGHa\ntGmcfPLJjBw5kmOOOYbJkyczbdo05s6di6Zph6yCXq+XcePG8dRTTyGEIBQK8eqrr3LKKaccsjJt\nbGxsbGxs/vtY8RiWphH97hsAPIf1pVaO8MPbW5hw3iScrQtQ0tLw9O4DigqmQc7OlGS/0qjGFE2v\nuXTaaafx5ptv2rI8Gxub/UJtaeOrr77K448/jmmaDB48mNGjR5OZmYkkSVRXV7Nx40buuece7rvv\nPq6++mrOOuusH10R0zSZMGECACUlJWzevJk333yT4447jv/7v//j1ltv5bjjjkNRFMaPH28bTDY2\nNjY2Nv/jGKEQWlEhRnkZAI4B/ako/Ybq7yuZNHkSAGpmFlYsirtzFxKbNpCzLQjtIG7FqTGC5Diy\nGp134MCBJJNJ1qxZQ58+fX7Wa7Kxsfn10azBdPXVV7N9+3Zuvvlmjj/++AZJF/ZECMH777/Pk08+\nyeLFi3nsscd+VEUUReGDDz5odvuPPa+NjY2NjY3Nrw9L07DiMaLfpqJLak4ukbbpbH9iK23GdqB9\noB0AkiyjZmTi2mUwZa4phWNS5yjWips0mCRJYuLEicybN882mGxsbPZJs5K8Dh06MHv2bMaPH9+s\nsQSpRmf8+PHMmjWLDh06HJJK2tjY2NjY2Py2MMMhrGSS+OpVAPgGDKbSEaN0UTHtxrUnV82p31f2\n+XF36QaAtyqOS6Qy6ZXojVOL1zFp0iTmzJlzCK/Axsbmf4VmLaEbb7yRSy+9lA8//BDTbFoDvCcO\nh4M//elPB7VyNjY2NjY2Nr89hGVhRcLEVq9C6BooCt4j+lPr0QluqqWgdxucsrN+f0mWcXXoiOzz\nIQFZsZTBVKqXNVvGMcccw4YNGygtbd6osrGxsYF9JH3IzMzkpptuYuTIkTz44IPs3Lnz56qXjY2N\njY2NzW8UMxJGCFEvx/P07I2ansGOyiKEaZHfulWjYxSfH1enLgDkVKaWIilrJrU4gNPpZNy4cbzz\nzjuH4ApsbGz+l2jRYHrggQf44osvuOKKK1i8eDHjxo3joosu2u+ok42NjY2NjY3NgWKGQ2ilJejF\nhUBKjqf4fKxds5ZAtwzS1UCjY2SvD3fnlCwvuygGQIVR2WI5tizPxsZmf9hnWvG0tDR+//vfM2vW\nLN5++226dOnCbbfdxsiRI3nggQfsqJONjY2NjY3NQcOKxxC6Xp9KXMnIxNWpM7LPz5Z1W0jvlkGG\nkt7oOEmW8fToCUBWpQFApV7ZYurw448/noULFxKNRg/BldjY2PyvcEAL1/bs2ZNbbrmFRYsW8be/\n/Y2lS5cybty4Q1U3GxsbGxsbm98YRjCI0HViq1YA4BswCMXtQXY62bFuO+ndMkhvwmACcLRth+xP\nI6c6ZSTFRYIao7bZsjIzMxk8eDCffPLJwb8QGxub/xkOyGACqK6uZsaMGTzyyCNs2LCBE0888VDU\ny8bGxsbGxuY3hqVpWIk4sbWrEYkESBK+fgORfT4ASjeWkN49kyw1o8njFY8XV7v2ZFfvjioVaUUt\nljlx4kRblmdjY9MiLS5cW4dlWSxYsIBZs2axcOFCOnTowBlnnMHkyZNJT2/ay2NjY2NjY2NjcyCY\noSAA0W+/BsDdrQdKIIDi8yOEoHJDJYGuGWSqmU0eLzuduDp0wrtuDa4kJF1QrJfSl+bXWpo4cSJ3\n3303pmmiKMrBv6g9EEIgSdIhLcPGxubg06LBtHXrVmbNmsWcOXMIh8OMGzeO6dOnM2jQoJ+rfjY2\nNjY2Nja/AYRpYkUjaMVFaDu2A+AbNBTZ6UJSVTbv2ILslHFnu8lqxmACcHfrjvQBZFdZFBfILaYW\nB+jUqROtWrVi6dKlDB8+/KBe055YwqJEL8UUJgElQIZqO5xtbH4ttGgwjR8/nq5du3LJJZfY0SQb\nGxsbGxubQ0ZdKvHIV4sBULNzcHftVi/HW/b9MtK7paR42WpWs+dxd+0Oikp2jaC4AMr08n2WPXHi\nRObOnXvIDCYhBGV6OUlLA6DaqEGWJAJK42x/NjY2vzxanMP00ksv8c4773D++efbxpKNjY2NjY3N\nIcMMhzFDIWKrvwfAP2w4kiyj+PwAbNqxCW9BynjKaGYOE4DiT8PZpk39PKbyfaQWh0M/jylohohb\niQa/VerV6EI/ZGXa2NgcPFqMMNVJ7/7xj3+0eJK//OUvB69GNjY2NjY2Nr8prHgMYehEln4Jlonk\nduM9YgCyy42kpoYq24u248n34pAceCR3s+eSFAVXx85kV6eWPanSq7CEhSw17yMeNGgQwWCQjRs3\n0r179wbbfuq8I13o1JhNZ+oLGiFyHNk/+tw2NjY/D/uV9GHt2rUN/m9ZFoWFhWiaxrBhww5JxWxs\nbGxsbGx+GxihEFY8TuSbpQD4Bw9DdjpR/P76fYqKi/C09xJQ0vZpwLi7dCP7owVAKrV4tVHTomEi\nyzInnXQS8+bNY+rUqbvrJQwKtSIkZHIdOXhlzwFfW5Ve3exaUGErQqbIQJEObbIJGxubn8Z+GUwz\nZ85s8vdnnnnmoFbGxsbGxsbG5reFpWlY8RiRZUsRWhJJdaTkeJKE7NttMJWVlOEdFCB9P+b9eLr3\nJPv13UZKoVa8z0jOxIkTuffeexsYTJVGNZYQgEmZXk4rRx6eAzCaElaSmBVPXaew2KkVIiGR58jF\nLbsRQhAyw2S2IDG0sbH573PA6zDtyQUXXMD06dMPUlVsfoskrSSlWhnbkzsp1kpI7KXxtrGxsbH5\n38YM1iJ0vT7Zg2/AIBSfH9njRZJ3D1MqSyrx5Hn3y2By5OSS5snCE08ZTUVa8T6PGT3SqrQDAAAg\nAElEQVR6NCtXrqSiogKAmBkjZsbqt9clbjiQeUc1Rg0ACSvBS1Wv8VTF8zxZ8Rz/KHmA1fGUeidk\nhpuNQNnY2Pwy+EkG04YNG9A07WDVxeY3RrVRQ5FWQsyKYwqThJWkRCslYkb/21WzsbGxsfkZELqO\nGY0SXb4MKxoFWcY//CgAZH9ag31rS2vx5HtJV/adhEpyOHC360Ru5S6DKdny4rUAbrebsWPHMnfu\n3FR5ZrDRPpYQlOsVWMLa5/kSVoK4lUAXOk9XvMD6xMb6bbrQeaPqbXYkd2IKk5gVa+FMNjY2/232\nS5I3efLkRnrheDxOYWEhJ5100iGpmM3/NhV6JWEzUv9/S1hISCBJVOgVyJL8o7Ti+0LbldLVKTsP\n+rltbGxsbA4MI1iLMA3CixcB4O17BGpGJpLqQPF66/czTZNodQR3joeM/TCYANxdupJbuZId7WSK\nk/uOMAGccsopvPTSS0y5cAoJK9nkPklLo8asbTG1OUC1kUr08GlwAaV6GRISJ2acQE93N56teJEa\ns5aXql7jhlZ/JGSG8Sm+/aqjjY3Nz89+GUxjxoxp9JvT6aRjx45NbrOxARCGgRmJYCUTICwQICyL\nSlFDRMRAklhrbGaJuYoSUYmKwiD3ERydfhSqpOJxtjloK6JbwqJcr6jXkrtkJ3mOXByS46Cc38bG\nxsbmwKjrI2KrV2EGU8ZF2ohjAFDSGkaXysvLcaW7kR0ymS0sWrsn7u49yJu/K7V4snSfmfIgtf7k\nZZddRmFNEZKv+X1DRgi/7MMlu5rcHrfiJKwERVoxX0S+BOCYtBEc6R8CwHk55/B42VNErChfRpZy\nbGAkhjBQpf0altnY2OwHutCJmXE0oeGSnT9p3bNmv8zvvvuOAQMGAHD11Vfv18mWL19O//79f3Rl\nbP43EJaFGazFDAUb6LINYVJJLQmSJIXOPLGI1WJr/XYdg0WJr1mdWM+lvjPxZ7rJdOf85PrUra5e\nt2AgpDyExVoJ+Y483HLz6WltbGxsbA4NRrAWYZmEv1gIgLtnbxx5+UiShLKXHK+wqBB3XqqtztrP\nBAmu9h3JDaacYjVShLAZJl1tOTqVnp7OiKNG8N577zHh9BNZF1/PksjX1JpBCtRWjE8bQ8CViQDK\n9UraOFs3MsKEEFQbNQghmFf7HhaCbDWLYwMj6/fJd+QxxD+ILyNL+SK8hCP9Q4iYkRbXl7L530Oz\nNJJGHLM2iMMAp8ONkp6B7GyogikqKmLRokWsW7cOv99Pnz59GDt2LIpyaLIrWsKqny7hkFNp/H+s\nAztpJQmbESwsMtWMJh3VwjBSznXLAkkCWUH2eH5UmTEzRq0ZImkl2HNmoCk8h8Zguu6665g8eTIX\nX3wxgUDLBYTDYZ555hnmzp3LggULfnRlbH79CMNALy/D0nZLGUxhEbTChIkiZIiIOK9YH1JMajHB\njrRmgOhGhVXNl8paagjxSnQu58cn4Ms9AmfaT1s0ucKobGAs7VmvEr3sgLMe2djY2Pwa0CyNkBkG\nwKd4f1HtnDAMrEiYxMYNGBXlAKQdlTIoZH8a0l4DwU07N+HOS0n0svYhhatDdnto7coHyhAS7Ejs\noK+/7z6PGzfxeD6Y8wFdT+zOS1WvI3YNuyqNKrYltnGOczztMrqhO6FUL6OVI7+B0VTX56xLbGCH\nVgjAxIzxjQaKI9OO4pvotyREgsXhrxifOZYMfhkGk6ZpzJw5k1mzZmFZFsOHD+eaa64hI+OXUb86\nhBAILYnQDSSHA8npPGjKlEOJZmmUJctIRGswI1EQJgBqUiUj4ic90ArT62PuvHk8//zzfPPNN4wa\nNYrevXtTXl7ObbfdxpVXXskjjzzCxIkTD2rdYmaMcqNiV3bIFIokk61m4Vf8LRy5GyEEH3/8MZ8u\n+JSIGeXY8aPpP7Q/UTNKhppBhpKOJEkI08SoqsCMNZ7DJykKSiAdJS3QIPlLUxjCIGJGCZthdGEc\n2AXvJ80aTLNmzWLatGmMGjWK8ePHM3z4cHr06EF6euoia2tr2bBhA0uWLOG9996jX79+vPXWW4ek\nkja/DqxEAr28DGGZCF2ndtUyYhvWYO0shngCBajKUXnxTJXqTJAEjP1KZfjiYpTENgDy+8i8NdnJ\nTsr43FhGdmWAPKlLI2/j/hIzY0TNGIYwWB1fy/exNZiYtHW0YZCvPxlqBqV6OfmOvEMyZ8rG5peC\nEAKTXZ3yIZD9CNNEmGZqsKKqv4pBy/8qQgiqzRqCRqj+t5AZJl0N7HPezaEibsUJmWEkJDKUdORw\nBMuyCH+xAABXx8642rZDkiTU9MaD8i2FW/Hkp9ro/U3BLUkSOXldcWil6E6JHdEf9mkwCSE4evzR\n/PXPt5JRkotwCnKlTHrSga/EasLEeEV7j8srTyUQyCXhD1CklRBQ0pAlmZiV6nMsYfFR8FMAOrs6\n0dXVpVFZaUoaQ32D+SKyhKXRbxgVOBrN0v7rc2w3bNjASSedROfOnbnkkktwu928+eabdO/enVdf\nfZXRo0f/1+omTLPeQLKSCaxYDLFHAg5JkpF9PpRAeqMoDaTmwiWTSbx7zI9rik8//ZR77rmHb7/9\nlvbt23PDDTdw7rnnHnC7JoTAisWwYqlkVpLDQVgLUaGVYemNHbkGBpuqf+C1Rx7h1Zdn07fv4Vz0\nhz8we/ZsPJ6GY5SFCxdy/vnns2DBAu6///6DEm2KmBEq9Er2ztloCotyPeXkbs5oEpaFMAw2b97M\n7887j2g8xrhTjkdG5o9Truawfr3553MPIgIQs2LkaH6orkFYZtPnM02MmmrMYBA1MxMlrXHwxhQm\n1UZNgznxh4pme83c3Fyef/55Fi9ezMyZM7n11luJx+P124UQeL1ehgwZwmOPPcbw4cMPeWV/LhKJ\nBC+99BJffPEF5eXl9OvXj1NOOYVBgwb9t6v2i8WMRNArKwBBcPVywh9/AMGUZ7OuednRRuKV0xUi\nflAMwWlzdPqua5hGvN9qi+JWBl8OU1lirmJQTQHppOFWHcjuA5POCSGoNKqIWTFeqHiJIn33pN+N\nic18EfmScenHMcw3mDKtjDxHbrOTbhNWkogZQRM6pjAwMZGQcckuctSsX7zu3BAGCSuJJrT6axAI\nZOR676lDcuCRPfhk7z51/ja/HhJWgiqjGs3S6jtBVVJwyS48shuf7PvRi2YKIbDCYYxwEKHvmWpZ\nQna7UdICyF7vQTGeDGGgCR0hrF/U5HjTNCkpKcHr9ZKZmfmTr1VYFiKZRFJVJMeBz7EUQlCqlxFv\nYomGoBFCQiJrP+cAHQw0S6ParG2QnjtmRMkPWiR/2IZWuBOAtKNT0SUlLYCkNm5Ptxdtx5PnRULa\nr7Tidfi79SK3chHFBRKF4W2Q3/L+cStOZl4WWT1y2PnFDnqM7skU6XjSJR+9RUees+YRJsZs6zPO\nCY1DUhR0j48qo7rBeb6NLqfcSKUnPz59DJIk4ZBUMtQMNKERNsNYQnCkfwiLI0uIWjFWlH5JmhIn\nN6M9auCnKSt+LJ9//jmnn346//jHP7jooouA1DM8ctxwTl54CmedfRaPPvIoZ5999s9WJ2GaGNVV\nWIkEwmw5eiCEhRkJY0bCqTbI50f2+QmGQlxwwQXMnTsXVVUZO3Yst9xyC0ceeWSD48vLy5k6dSqL\nFi3innvuYebMmaxcuZJp06axYsUKHnjggf36xoVlYdbWYEYiDQyCkIhSTePsiwDVVTX8+7HpvDPn\nY8aMO4YXXnmYnj17kpbbjqgSI6qnviGn7AAkeg7vxWffLOCC08/nwgsv5Pnnn0dt4tvZX5LJKMVV\nG0ASSM7UeEt2uRt8jxV6JRJSfRssTBMrkcCMhLHiMRZ9tZQpV/+RaddcxYQp45B8XhS/nyunXcWd\nf/ob5084l2ffepqASyUe12hFNuo++h9hmehVlZjRCI7s3Pp2UbM0SvQyTNG0wXWw2eedHTFiBCNG\njMA0TYqKiqitTU3MzMjIoKCg4Cc9nF8i//nPf7jiiisYOHAgkydPJicnh2XLljFp0iTGjRvH/X+/\nm4CiIEwDyeFMDQia8GL8VhBCYNbWYARrSRgxqj6Yh1i2MrVNkhA9OpHs1pYv21eyMGMbliRwmQpn\nb+lKp3w3ZlsVrz8Ljz8LHCqheDUjt6xjRWwbMa/EZ8Xv0SaZRo6i4ixo02RH2hwhM0zYjPB8xQyK\n9VIkoLu7G37Zz7rEBmJWjHm171GoFXJy5kTK9ArSRZJMJQNZkhFCELfi1Ji1TUr6wCRmxii04mSr\n2az6aiWLFi3CMAymTJlChw4dEJoGQiApyo8a/PxUomaUoBner/WtkmhEzCiVgEfxElDSDknUzRIW\nmtCRAKf065BP/FoJmWGq9KpG3kJDmBi7oq9VVONRvKQrabj30qkXFRWxdu1aSkpKEELQqVMn+vXr\nh09VsaIRrHi8Ge+gwErEsRJxJNWBmpHxo6LECStB0AwRs+L18yHdsvtnM5geePSf/N8tt5GZ3tDA\n2LBhA3PmzGHu3LksW7aMrKwsYrEYqqpy1llncc0119C9e/cDLs+MhDGqq+vvqex0oWZmInta9obv\nSaVRVW8sfffVd7z8zEvIssyAYQM488KzqDWCOCUn/oN0DzVLI2bFiFkJNJFEQsIhOZCQMITZ5JpF\neiRItbCwds1dcrRug6tzVyRJRmkiugRQWFKEp5sXn+w9IAPf17U3uQsFxQVQFincZ+KHkBWhVC8j\na0wOhR/v4OrR55Iupe5VaymHCdII5ojP2Uwhi8Uqjg72Q3U4kdXd7XvCSvBRKBVd6us5jLbONrhk\nJwWO1vXfV5rsp0QvJR0/3aQObBTb+dpcTX+6kVFViRWN4sjNO6A+76fy8ssvc/311/PKK6/UJ/Sq\nNmoIGkEE0HfE4cx4bybnTTiX7Lxsxo4ee8jrJAwDraxkL4fM/mElEliJBOUbNjD6zLMYO2Y0sVAI\nVJUXXniBs88+m65du3LGaafRrnVrPl+0iOdefJHzzj2X1StW4AukpGCtWrViyJAhHHvssdx+++3c\ncccdWMIiaIaIWlFMYeGSnHgVDz7LDfFEffbHPakWIUI0jISYwiJBko/fXsD99/ybCScdx9wPZ5CX\nl5q/rRsJaiq3o2bnINW9t3s2uWnwxNtPctWZV3L+Beczc8ZM5H3I15rCiEUoLF+DVfe9JhK7ipJQ\nfD6kXYaTEFCaLCRXZOCOGQ2mXyxbuYpzrrqaFx5+kJ5H9cDAQMQiWLEIkqTw11uu5h93PMRVZ13O\nczMeRFVVyqiilchB2Q8nrZVIoBUXoqQFMDxOyuQazP1I7y+EhYjHMIQO2fvwmLTAfn+JiqLQvn17\n2rdv/6ML+yWj6zp//vOfefvtt5k9ezbDhg2r3zZ58mRuvP56pv1pKkcOH8Hs55+lS8eOkEhghkNI\niors9aZSoR6iCXi/NIRpYsXjGMEaElqM6lARxptzkArLALA6tqHsxP6szqziW/E9NdEQm5/ZwI5Z\nWxl37EjSL+8LvbPIIxOPtDvLkE90RnTvyMjqz3mfNazoI3H0C2/gn5SJpKo4WrXep5YVUoPyWjPI\nvNr3dhlLEqdlTqa/7wggZUjMqX2X1fG1LI+totYI8vucM8FIeWEdkoqBuV+LCcbjCS6/6XIWffw5\np0w6BT0WY/DAgfzh7LO5ber19R2kpKQ8xpLDgexypzzvP6Jh2x8SVpIqo6oZQ69lBLsXbHTJTrLV\nbNzNZII6EOqeScgM1WujJcAjewiogUNinJmmybfffktJSQn5+fkMGTLkR3Um+4sVj2Elkylpmqoi\ne7z/FYeKJSyqjOr9kins+bwlSaJyZzkzn5rJO/95h2BNkF6H9aBVq1Qn88OWH9i0cQsnn3g81155\nCR3btMWBimIKkjt3YEVT5TkL2qBkZqU06oaOXlmBGQ6jZmQie/b9nA1hUGlUN4hK/DdYs2oF7dq2\nZfCgARS0aUM8keTbZd+h6zrHn3g8f/zzNYw4ZgS5/hwckoMd23cwffp0hg8fzpVXXsmtt96Kcz+f\nv1FTjbErU1wdlpZEKytFDaSjZGTus72ok6aYpsmtf7yFRR8v4uLrLsaf5ue1517l3bfe5bGX/oWS\no+CVPT8pkhyz4lQb1WjW3gNZgSmaTscNYBk6ZiRCuKQcdcsmIBVdkiQJJRBotg8tKy4lbUTmAU/a\ndmRkkJv0AkkqqCWRjOB1N30OU5jEzRgLQotoe1wH1j+xmh5m+9SKlaYJ1UH6x3z80KYLK6UtzBfL\naG/l07HWiZyTW3+eT0MLiFoxVFROSD8OCchVcxo4I5yykzwrgx2Vqxki9WKj2E4h5ewUZWRKafiT\nElpJMY6cnAMymH8MQgjuvvtunn32WebPn0+fPn0ACJsRao2G0ZAefXryyMzHOOfsc/hg/ocM6jPw\n0NXLsn60sVR/DiG46uabOWnMaP7+lz9DZTmSrPCHSRM5b/wJvDZrFp99/BE/7CzkyEEDef+lGRzW\nowfUVpOsrUHxepH9aWRkZPDRRx8xaNAgevc/jGEnDKsfrAthoSfCBGNRZM0gh4wG45o9E17VUSWC\nLBDfsd7Yztf3fEnJgiLOeHQCp2X1I9fTUE0jdA2jqhI1MwtJaTxsd3s9PP7GE/xh0oVcfuXlPPXE\nUwfkiDSjUYrKN6Cz+z4nhMYqsZlKahFhQcdIa3rQoT4aVEwluWTik1J13bp9O6dfcilP3Pt3eh/V\nC429xh7CRAKm3XIVl154I48++Cw33HQ5OgblVJMvspH3J3InBNFgJWXBKoTTiZKWlpq3tkvLJIQg\nZIWpMqqpTJZTFS+jyqgmJKKYsuCh7Pv3+77sjST+h5eXLiwsZPTo0XzyySdkt8lJWZeAjIxTctbr\nhHfs2MGZZ55JTk4OL774IllZuzXedRnfjGAQEDz7yivc9dAjvPH0Uwzp369BeXXeMSWw7wlqeyNJ\nEkIIElaS+K7MJBYWAoGEhCqp+GRvsylMDxUpeUgCoRsI00jph5PJeu1tjQgT2rYO+a0PkWJxYh5Y\nNqk9K7vqlJFa4dzUTBae/zH5mTlce8Ef+OSdhSz5chlfvjOXbP+e3kQJSYKEpVEoynlEf4WQEmfA\nCoNTv/DR6tI/4szJxZG3bw9BrRFkcfgrZla9CsD49HEcldYw9C6E4JPQZ3wW/hyAHDWbc7LPoJWj\n8flrjVo2J7dSopeRsBJ4ZQ9tnW3oqnbmqtOuxOv18PcH/4902UGeSKe2Oshpl1xGt04defr++5oc\npEuShOz1IblcyG7PQRlY60KnxqglYkZ367olCQTUmDXs0Aop0orrB1a60FElBY/sIdeRQxtHAd3c\nXfFLHoRlpQb9SGSqGT8pe1PCSlKhV7Q4GdMhOUhX0/DL/hYHcnWTfK1dHjBJVZGdrgYRPMMwePLJ\nJ3nggQfw+/107NiRbdu2UVVVxZ133slFF12ELMspDXw8AZYJkrTLqFWRnK79dn4IIbAiYYzaxh5F\nYJc0LR3F56vff926dRQVFaGqKgMGDsDld2EIExkJl+z60RI5SBlLpXpZ/RoymqWxMbGZzcmtxK04\nEhJ5jlzaO9vS0dWhXk6aTCZ59K6Hee25V5l02ngmTR5Hjx6dGr27VZU1zJz+Jm+8Npdbrv0DJ6X5\nkdZuRdprUKNm5+AfNgJfvwENno2kqKnsR04nCJH6q8uMBIRFjCoRBEVGcrmQdkV7q4xqgmYIl+zi\nmMChlYDX9R1PT78Xr9fN0q++I1gbxuVy0mdwP7oc0QdFbRwxdsoOMpR0aktqufzyy6mqquL111/f\np6PRqK7CCDWW6RjCJEwMHR1ZceDPyCeQltfg+5AkCctKGcghM4wQgluuvpntW7bz7NvP4fF6EKaB\nHo3wj1vvZ/3qDTz3+hPkp+WT4y844AhG3bOoSyZxoOhVFQgtifzmB8hrN6Nm55B/1XXIioqzXftm\n+852fdvT664jGDFwOLe1/csBlfn+m7fxYv/tSBb8M/sW2mR3a3K/oBFiS2Ib95c+jEDw1cT53Hnb\nTQzJzUGe9SFSNDUtIZnp5ck/uKhwx/Hi5kL5RFpndkL2+FgTX8fLVa8DcGzaSMak/45MNaPRvCth\nGGglRVQa1QRFhH9Zb1JNiH5Sd86QR1Mg7TbAFJ8/NSfHdfD7/1AoxJVXXsn69euZN28erVu3BlLt\nRpFe0qzTcNZLs3js7kf4aPHH9Gjd/aArBYQQ6GWlWIndU0E0TUPU1qAXFWKEg7uWLBHgcCB5PDiz\ncnG1LkDxp+2KqgtmvPEWT7w4g89nz8L1E+6fJElIThefrlzClHMv4Y33XqJ9xzZYmo7Qk6l67IET\nJy4cmKQiSBa7IyHrxXZmWwuJhCMsuf5zLN1i+KMjcaan6tdzo8WJP7TDP+p3sKfxJMmo6enInqaj\nw+FQmPPGT2HkqJE8cv8j+3wmwrIwaqqpCBXWR76EECwR37NALEejYZuehpfJ8ki6SG3qKkQ6PpwJ\nlWNPO4OzTp/MaeefVD9Xto4aEeYbsZZtogQZCXe1g2cnP8Ntd0zl2DFHQUU1zqVrkDb9gDANlLR0\nvEf0w9dvYCMHmyZ0SqhC7HE/TQQb5UJWWZvZbhUTE3Ga47Wu01u8Jy3xmzCYnn3pQfIK8gGBJEtI\nqgPJ40VxOFn8wRf86bKpTJ2a+ttzcGDGYhhVlQ0GQUII3n3/A6649a88/9ADHDdyZKNyJYcDZ16r\n/ZZgGcLAITvYntiBsQ8tplt2o0ZkvE4vPp/vkMiZUpMUo5jhEFYiCY0EPamOvNysRF/8FfKCr0m4\nBAtGulg6UMGQd7/IaZKPdX/7HqVS5rk3n0eWZVQTbr7kLwTSAvzrkUdAllN6/V33XpgmFZEi3qt6\nnw+sJSimYOq/kuTmdCFnygWogXQcuXnN1t8SFlsSW7m/5BFCVpgOznZcknths4Pwb6PLmV0zDwsL\nGYlBvoH0cHdDAor1UtbG11OslzR57Io7v0HeLpj+zKME1F2aXwsyt4dJFJdxxp13M7RXL2678gpc\n7Tu0OA9LdrpQs7IPeK4W7Jr4qNcQSlRjJeOYiTiWrrGFItaIrWwShURpvhHZm04UMFjuRU+pIw5f\nGnJagIAaIEfNPuB3zhAGRVrJfumMhWkg6SZpwoNP9qAKBbnOc2QYCE3D0jSaeiclhwPF52f1lq1c\ncvnlpKWlcc899zBkyJD6fZYvX84Vl1+O2+lk+kMP0ionu5mapGQI+xqkWMkERmVlk5N3G12bJDNz\n7jweffJJwpEInbt2JhqPsmbVGob/bjiX3nA5A48ciCRJpMl+stTMlg1Hw6j/g5ThKBSZEqsCTehY\nwuKb6Hd8FPqUuNX0s3dJTrq6u1AQyuWfZ95Hm9Z53H7nn8jJbSExgBBI2wpZ+/YHXD/zbU7s1J5r\n+/VJOX1cTjAtJGN3mymnBQiMPBZf/4EtGqFCCKoJESZa/1sFQb5mHautTcT3iFr8lE5vf9jTYMpv\n1cTSBpKE7PEhu5wpqcpez8klO0mX0/n3g4/z4IMP8sILL3DCCSc0WZZRW4NRW1P/f10YJNGJkSBG\ngr3fdcXhIpCWT7onG6fDgyIrFCaLSFoaQgjuuvFOVi5bwQtvPY3X7SSuRShOFCMj0drM5torbiUv\nP4fb77qRNuTicvtT8zz8/n06+ixhUW5U/qjIX8yMsrlqNW5DpkO1C/VfryABmRNPwTdgEGpGJmpG\n83Or/LlpjJ5zAr/rPIrrWl15QGWvn/86t7d/H4CLrRMZ0/20Jvcr0op5v/ZjPgl9hgcX6oNRpPJq\nbgxkIFkNpT/lORJPX+whoVqk4eV4eQRGwM07wQ/QhU5bRwGX5F2IR3bT1tmmwbcshEAvKcbSkpjC\nopBylsS+4QPXclRLYuoPR9Oh8xC8asPIkqSmFAqSqqb+JDn1f/ePS/m8ZMkSpkyZwujRo3nooYfw\n+XYPxIu04n0qFB7624Ms/vQL3vjoTQrSCvYr9XRpaSnz588nNzeXoUOHNpuFec+I69oNG7j99juY\n/+13ZDgdnNq1E5cf3htHM++ryM9GdGlPVU4mJ14yjRkzH+OIXr0RgLXrn4DU4B0nbly4cOyz7nWS\nupdnzGLWG+/yyltP4HbvvxFmCYvPkl+xyLGWyI4wiy/5lAFt8pg2vD/BfAdfDXVQlJf63l0Jwbgl\nDvodfiJy3l5tkKqiuFOGhDDNlHNTUZEUhdpgmCkTL2DiyRO5929NO2shpYZIVpRTYVYR2zU20ITB\nbGsB6/gBAAWFjrRCx2QHpQBISIyRBjNc6lt/v27/y32Eist48JJzkNL9iLatIDMdIQRfiu/5RHxT\nP1e6jsrl5Sy9YhFv3fRHOq/bhtSEKSL7/GSeOAlPr8OAVNtYSlUDg2yzKOQdazG1NHbg+HCTRYAs\nKZ10fGQ6sji7/XktPqOW+NUYTKtWreKuu+6ipqYGVVW57LLLmDx5covH1HV6Tz7/d1oXNIwa1NaG\nuP+eJ1jyxTc8+PR9jDh6BG53AI/iQTUkRG0tVixe/5D18jJiS74kuWUTVjjMsrIKrl74JbeffBKn\nXvB7HF26IEsyKioOFGRFRc3Oqfcq740pTOJWnIgZJW7F6ezpxJb4tqb3NU0WfPAZc16bw5IFX6Il\nNUzDxOvxcNL48Vx43rmMGD4c2fPTJV5mJIJRW4Mwmg6BW0IQFBFCG1YhL1iKVFbJ971k5o13Etvl\nCHCgcrijJ/3TB7DuvXU8dPsDzP5iDmmBNNIUP9lqFqFgiMMPP5wZM2YwatSoJu/PpshG7i17mDhJ\njlpicPynBv7hR5Mx9gRkjxdHVnaTRmmNUcvs6nl8FPoUBZlr8q8k15GSQ6QrAWRkEiIVyat7/bcm\ntjGrZg41Zm2j89XhkpwUOAvwyz7CZpj5L37C+ulrGfPmeNIDaYxnGH2/CqEsXYUUTg36qhIJTnv3\nE67v35eJXTrhKCjA3akL7p69cbZp22QDrfj8qFnZ+xXhSFhJwnqQUKgMPRYBy4icb04AACAASURB\nVMQUFsvFRhaLVdQQarC/ikIBOeRIGaThxYkDE5MIccpFDYWUY+zRGOWTxXHyELoqHVAzswh4shpJ\nS5rD0jSsSJiiRBEJNCwJ1ogtfKN9T7UVxMKklSOfTo4O9FW7kpF0IbTGUh4FBRcOHKg4UHHhxNFE\nko1INMo/n3iS5197jTtuuok/XHghssORilxYFkLXsTQNI5ngvsf/zdMvv8LT993LscccRZwkcZJo\naCgouHHiw4NDUpHd7tTEV6czJYcQqUxAZjSKEY8SI0mMBMmyIqQ1m6GqBimpo2Zm42nXAW/PvhSW\nl3Px1BtJ6EluuukqDh/aGxwqsqqSSOq8/fo8nn18Oocd3otpt0+lfZcOKLKDXDUbj3ClyrQshKYh\ndD31t5d22xKCMqpIyiaaR+b1xPts0X4AUp1cB2c7stQsdKFTqpdRYaQyHsUr4iw470Paju3AMdcd\nQ56USY6UQSZpeBPgC5r4apP4KxO4KyIoO8uQalPvVVU8wYWffcGggX35899vRM4IpKJFRWXIy1Yj\nfb+xviOUs7JIP/p3eHr3aWSEasKgkpp6j2ZCaHwmvuVrsbZRRysh8WrXF/b5/v0U9mkwNaiQjOL1\npt4NVUV27XZ4OCSVNUvWcMm5F3PiiSdy9913N1AwmOEQelUlQgjCxAgSaeSd3VfZvTqNYH3hN0iq\nysP3/puFnyzihZkP4k7z8LH4mmViXf09zCLA8Fgfbpn4N266+SomHDeGVlLKaSA7nDjyW7UYcao2\nahpJtFpCWCZJM8n7NR+yTFtVX4/DSnxMerkKj9NPwTU3ojrdONu2a7b/EkKgOlVOWXkOE3LHcUHu\nlP2uA0BN6VZu3nkHNZkSx1V0ZsoR1+LyNkyqoFkaO5NFPFD6KNVmDUOk3uR/YnLXzfcx76RxqDm5\n+E89hVo1gfXRAuRN29nZRuKF8zxoSsNvMaCkcWXepQSUNHIdOaTtlVVMr6rEDId23SOLiq8XUrvo\nM+6/SkF3Soz7ROfo711kjp2A9/B++2xvJUXBkZO3X3JXAMuyuPvuu/nXv/7Fk08+ycknn9xge9AI\n1SexEEKwMbGZEr0ETU/Q1dmJDq52SLKCsExuuGgquqbzyHP/xKE68Ktp+NzpKIoTRZJRUJAlmXg8\nzo033sjLL7/MqFGjqKmpYf369dx5551cfPHFDa7RisfRylJOyv/Mm8dVf/4LVxzWk4mdO1Aai/HP\nFatxulw8csaJOJxOJE2HaAxqw+x5p2798hvcTic3nzMJ0bkdIj8HAj5QVVAUUORdEe6UkifgSCfg\nSEeRG34DlhDU7OHMEULwp2vvwOlycOm9FxKTkvjx0JocnHV9kxBQE0QqrUQqqyJaW85b/crZ0l5Q\ntqSEr6/9nKsO780lRx2NNfRwRPdOCIfKCmM9H1pfkVBT7UDrMsEwz0A6ZnTHjYsYCcqpplRUU04N\npjBxSU660Y7uUnuckkpFRRUXn3cDRw0fymN33oPTF6hPty5MAzMcJpyooZpQfXtjxqK8rn/ERn8V\nAH20thzvHolfSr1TFaKWt6z5lJF6L0ZIhzPG6McX/36Jvz3/BnNPGkeaMzUeE4B2WCfeHi+zxlUE\npIyXw6VuOFBYJbZQS5iNL66j5LXNvHvUsaQFMrAGHIYjkI5zezmJ1d/DLseb94gBOE84jmpXvD5S\nZwnBR2IpX4nV9c+pEwX0lDrQVsojm3TcUkPVjs+dQbvWffb5fTTHARlMmqZRVlZGu3btfnSBPwZN\n0xgzZgzTpk1jwoQJbN++nVNPPZWXX36ZHj16NHtcXacXDdVy3O+G0f2IXiQ0ne9XruPTjxdx0uSx\nXDf1UvxpdUZN3ae2xy2JxJA/Xoy0agN7N1nrq2u5+NPPObVrJ64+fhTy2KMQndsBEk5UnDhwe9JQ\n/ekoLg/IErrQiVvxXd7AXY2sEHT1dWVJ6Gt2aDvZqRWm5CdaiHWz17DiiW/wpPkYe85xnD72JDpl\ntkKyTCqLq1n03hKemvESndq345ZrrmXk70alvOJ7RSmqqqr46quv2Lp1Kzk5OYwcOZKCgoJdxQtE\nMolRW10vcxJC7PLBgKkniVYUkSgrQi8sQtr8A1IoQsQL7xzvYHXv1MDegcpw+QiOzjwaryeDmqoa\nxg86nn+98m8GDx9EjprdIB3ljBkzmD59OvPnz2/y+VUbNbxZ/hafxRbjNCRufDiOJwFZp56Jt+8R\nVNXU8tGXS1i1cQOt8lsxdPBgjhwykE3aD/wz9BQJkWSodxCTsk7ELbvIc+Q2yGZXN6embgCgWRqL\nI1+xJr6OEr0k1YAqAXq4u9Hb05NOro71x3/56UKuveB6/vjalWzpUIpO6sM+bJ3JSe/r+GMg0tOQ\nfF427ihhyltzefn439EtY3cnrQTS8fTqnWoMCtqwJ5KsoAQCKP60BgMYS1gkRZKoGSOSCKLHQ6n1\nC3a9S5tFIR9aS6lgt8e6DbkcJnWio1RAPlloCQ2HQ20yYYsmDDaLnSwz1rBVKa3/fYDUg3HSMLyB\nHNLTW5HnyG10bB1C11OpQGNRakWEWkKERYxXrY/q195qdIwQ5EUyaF+dS05NGlbMxDBMDMNIRVwC\nftIDftIVlQzAG9NQgzFkIVEcjPH+mg08/Z+5jDxyGP+4+S8U5O9btvnp559z2Y03MbxXVy4ZOZQO\n6QFwOBBZAcy8HEocMrGIjl/20KtzN3wuDxISGjpxkiTR0YSGtG0n8mdLkQpLmyxnQVkFf168lD/8\n4SzOu+rcBqlfoyLBZrGTGsKEElGWPvcVH78wn7PPnsyFl5xNRkY6OaTjl1qew2AJQTnVJEgSFFFm\nWu9RuSsTUx+lG8f7fkeGJxtJVuqfUU2snNXBtfz1nLvJHJ7DYdf3a6kIAGRL4ImBLybwmQ68viwk\nfEy/dAYFHVpx3T+uIFNNI5fMlNa9qhZ5wVLk1Zt2n0RVkdu0RsrOQlJVTAVMeVebqygUZZu80X0b\nNY6U1zOAj8FSL7pJ7cgmHZ8rg85t9l3Xn8IBGUx7ITmcKD7/Lq9/ygCI1IZ5+I6HmfPGfzj11FMZ\nO3YsBbk5hKtKqU0ECSUjOF0OclSVzqaFbJhQkIdoXwBqy46TXp2PZt3WRTz5+AzenfcJM155lGSm\nySzrMypo2gHU+7sCHrv6Kea8N53u2Z3rB0WSojY7Z0azNIq04iZiu7sRYpeEW9Mwkwl26IXMthZS\n04T3t/M2k/Mrh5I77FgCmQWoLazvU1tbS167fE5ZfjZnZZ3G5KwTW7wne5PUYvxz4bV830mnd6mP\nK7peT26rrg32Kdcr+D62hmcqpgNwKSfR+pn5HPnws3zw+9M5/E9/RvZ6MYVFsVmKeOMd5I0/sLNA\n5pNzCtjiTmUPO8zVg7EZx5HjyMYlO2njLGhQjhmLoZeX7rpfgtp5s4l+twyAOROcfNNfJrPG4vp/\na8gCPH0OJ3PCpP0whiQcObko/pbXyamtrWXKlCmEQiFee+21+nFAHYYw2KkVIYQgaASZXTuPjYnN\nDfZpTQ4T5aNpLWWjJTUuOu8GevTswi23XZuKaNRFYH0+FIeTSEmYi864kC6du/D444+TnZ0y0pcv\nX87ll19OXl4e06dPJzs7u16qaOo6d95/Py++/Ar/OmYYh+dkY/XqgjViAFp2BjdNvQtdN3j0ibt2\nt6m6gbSjGGnLDlYt+oYr336PDyafQOAA5O5CllHSAzjzC3C2a4/ZLp9Iaz+munsEaAqLTyJfc9e5\n95HWLZ1Bdx2JrMo4hcphwRz6rYWOyypQQlEEsKanzPvHOSjTE6x5fCUV7+3kgTMmM+Kck6Ftq0Z1\nCIsY70c/Y62naWVLc/jwMEk+mu5Se0KhMFdfdjNut5vH7/87rXPykJCwsAgT3S23M034eiVz3cv4\n7vBUezXmM52Ri01E945YY4bDLsWBJgxmWfPZwA4ADl+s8+iVs/nnUUMZWtAKMgMQiZFE5+UzHGzr\nmHoufcwOnOQYhUtygBBY6zbxSeRzFg8QLLnuc7IcHmbe9ygOxx7j1uogytz5SNtTBpfISsc8ZSy0\nyccUFnPFIlaKVL/ShlxOko+qd/40SW0I1/fb6HTeVQd0T/dkvwymcDjMXXfdxbvvvgvA6tWrqa6u\n5tprr+Xhhx+uf/kPFQsXLuSvf/0rn3/+ef1vU6dOpU2bNtxwww3NHlfX6U0Y3441lVUUlgZxep20\n7tyKsaeOoX/B4eRLzUhPhEBavi5lLCVSXm+REcAa1AfRrjVIIJVUULVkOTe9MY+wrvOXQf0YcPRg\nrONGQM7e0gIpFQ2R5F0eahPdSrKZQtaKbdza9f84c9P5u4oWFM/fyaoHluMMOOlzXT/yhrZKaWiR\n6C91Z6Q0gHTJh4xMuu5jzpwPuffxx8nJyuaU8SfQu0cPJJeLlWvX8fFnn7F8xQqGDBlCt27dKC8v\nZ/78+fz+nDOZNvVqkDQSIomJBYiUF7C8CnnFeqQfCqG0slG49PteMvMmuIi5U793poBJrjHk5HSs\nHyT86eKppKcHuPfh+8hSMxul3tZ1na5du/LGG28wdOjQRo/AEhZr4+u5t/hBdAzGLPcw6t0aUBRW\nde3N1Y88xuB+RzC4Xz/KKyuZ/8UXxLUEA88bhHWqB4/HzTXyGbRW8shz5yO7PCkZg6KAotSvJ/bs\nC8/wzgfvsXb1etxuFz16dmbiqcfzu9HH4PS4kWQ5leVu12TLFd8s57Ip1/DAI7czbPhAghu+Z66y\nhC2dUtftTcqcqA+hd3qdJ0PivZff56mnZ/D+DVcjbf8Bs6ZhClpH6zb4Bg7G2/eIBt53U1hoTkiq\nFkkzQVLoCCyEbtQvdAcp789H1lI2sbP+t77lGRy9zkuraoXqaIyn5y/m07UbKQ2GMUyTrDQ//Tq3\nZ1TPLozr2ol004JwFKJxJMtiR1uJ98a5KExJ2skjk3PksWS6c8nMbEuep2FDLywLMxTCDKZWuE8K\nnRIqqTaqeNF6n6CSGgB3pz09pPZUFFby4bsLWLHoeyq/rwAhcGW5cWe5SfN6SRNOAkkZNWYQjsQI\nxeIEk0lqkxqqLBFwOglpGn6Hg9Ht2nBW7+70HtYfR8+epHXvg9cdaOSZtZJJ4ps2EFm7Em3TJiLR\nGE98v463Nm0jx+Mm3e+iJpagMBglw+0iM5CGoSoUVVYzYFBffn/eqYz83ZHIkoS0dSfyomVI24sx\nZAgFJIx0H+68VvhwI8qreWLeJ7y+fjMPjTySQa3yEL27UDOsK+tbJ1jHdrZT2iiCEiuNsu2RDfzw\n8VbGjh3FiKMH06dzD9qlpdoA00wlI2lXUIDL5UrJpKghQZKwiDHdepcqgshITJBGMFDu2ejbquNv\n//cgZSXlPHjF2RQVrqTMFaUiR6IiRyaUJhH1guHYdzTRiOksvmoBikflyIeOweVy0pHWHC51pZfU\nEUdZLfLnXyNt+KGRtKn+/QGWDlR4/zgVU5VQDMHIlS6Gm4exwenkw08Xs27tJgzdYsmX3+yzTj+F\nur7j79dNonWb1gSy2qK2zocDieBLCmp6oMF8g+IdRcx7Yx4rly6naMcOZEnC5XbhcqhoxeWUlFcR\n0XVGtS1gSs+u9O3SEevYYYi+3evneO1Nr85Hc93US5g9631mvPooW3PL+Fh8jYmFhMQxUj+GSocR\nJMJcaxElVKUM//urCP0Q5F9P/J22Un6DLFWKz5/KylUnkxaCYr2kgUTLEEYqUqlX4pAdBIQPb8RA\nNixqCbNcbOQ7sWHX8gUSI6UBDJUO47u17/JRz5QX+yLzBPp4etG6bZ8W1REbNm9g0LGDmTD/FK7I\nu5iRgaP2/znsqv+Ln9zKB52KCERgWuAKOrXtXz9vVBc6hcki3qh8m+WJVeSTxRVfdUD9ZAnXLPiS\n8aefzsVX7R5oJYVOqV6K/MzrSBXViIw0gpdNQna58Sp+HLn/z955h1lVnmv/9661167Te6P3jo2i\nFEWDiGBBsXeMJcceTaImJycx0Xg8alRAEyJo7FFRsYsgHSkivZcBpu+pu++9yvv9sWb2MMwMoMac\nfNd17uviD/astfeq7/s+z3M/952LUFSKnAW4ldZFoLQsEuWHkaY9djd99SXBpXbCUB3Un0PnD+R5\n5ycAXL00nQHLbRElNT2DzKkX4e59POVFgbOgsFNad0NDA2effTajRo3imWeeQeuAoVGj+5sNQEO8\nUPO3JOsiGzvZV9eciFFROEeMYJQYRDAY4tabfkGv3t34z9//HKez9Xs3b93NXbc9xA2338gfHnoE\nx1HVm0QiwUMPPcQrr7zCL3/5S84YPIiKsjIee/Y5aKjj2VGnkO31YF0wATl8wBH76dxy4/0MHNSX\nXzzUdhEciUSZNuUm7r79Wib36o7YdxBxqBIR+n4iMlJVoCgf2bWQhq5pvNl1B5VaE0ZEZ9VdS4n5\no/S7eRA5J+XhTHeih3SUmjjusjj+eAx/TYj6TX78a6sZf84pPPLgg6RnH1/av7RuJ6vrVrCnu8RS\nW99/gSCHDPJFFi406mWAUiqTc8kZYijniNMwDJNZz8xl/jufcO/9t3DhtEltKXqBEOo7n/Flr1qW\njrHvy+mbHZz3hd667hUCedJArJFDITcLs6GB90Ofs6U4zLqHV5HXJJhz6Q04Rp8KXg9+s463Yp9R\n67bn+7OX6IxfI6BvD0j12vehwjaqXjnayYKRJgsv+Ygzrjmd/7n+wbZqeVIiVn2LsvhrhGUhFQV9\nzHDeHhtih7CDtuGiL1PFmM5V9gwDsfJblBXrEYZJ75fePLGb3gFOKGB64IEHqKur44477uCGG25g\n8+bNRKNRfvvb36LrOk8//fT3PoATwbx581i8eDGvvPJK8rOZM2eybds2nn/++U73a5n0Bs49CVd+\nxwNIfiKFwc5+DFZ6kylSk/x8ZclaxGE7upcupz1pnTLILuMCYRmliTBxmUCt8LN85nvM/WQ1hV4v\nU3t24/Rzx1Fy6SSEr22mLiEN9nKYbfIAu+WhZGXirT4vc9nu66hbVs2u2dswgjrT77+YUyYMJy4S\nVNPAXnmYeHNWwCU1phzuzrB9dsTu9mXize/Gsv2lfPzVVxwqr8C0TIb0H8DYkSM4e+wYPG4PEkmA\nMPtrDvH73z9FTZWfWXP+REZGGpgmYtcBxLotKKXl7a6VdLsoH5jBVyMlu7JtOoETjYliBCNST8OR\n1pohXPnFCn5zz6/ZuGkjGamdZw6fe+45Fi9ezHvvvdfh32v1Ol6re4vVobV4pYsH/gqL12/jd2u+\n4S+/uJ9J19+QXBSHrAjz133OI3Oexb+xhp9cdxb/dc09DMjs1U59Zfe+/cx++e/8Y8ECfjJ+HNMm\nT6b3kJ7UJRpZt+Zb3nr9A+LxOHf//KeMP2t0MoO1cvk6fnnfIzzyp19y1lmjURZ/jbJyAxJYN9rD\nZ2cpJBR7MhwqenOeGJ1Uy/n1A39CsQRznngC4a8jumMb0S2bMOrrksclnC68w05COW040VwfMTru\n12lBg9nIytBaNngPYTWPF10OW5y/UKekwt5vWXkl9y9fw/ndu3BVv970TE9FEYLKcIR1NX4+P1jG\n6soaxhTlM613D8YVFaA2D6qWgOWjVRad6cBSBD7p5lr1PAqUXDJS8sj1FIBl2fKtRxgI6pZB1f4N\nRNeu5a8T6qjNETh0yfQPdFK3Jnh2606W7Svl3NEnc+aIoaQMSOFgcZAdBWH0owpf6U2S3vtN+uyz\n6FVq4Y5KQg6VgMtJmsdNSkJPUiBbIBUFepSgFhbaghrhKGZlFWZZebLMD2AosGVECl/3M9neVEu0\nMY47x01GUQp9/Cp99lr03WvhrjVYGAjw0jebMU2Tu04ewqBBuezs72B3L4WqAgXziEJAojzGugdX\noSTg5ofOJzsWJawZlBfa2x4JhynIC2o4TYU6n07QbT8/seoIyms1NK72U1nXSDASRUGgYC+8aoIh\nhhXkcfPQgYwrKSSS5mDuZVCTaaFagssDI+ibOajTRf77//iYF56Zy/wLJpEWa6VCytwsZJ9uyKJ8\nrKxUEpk+wi6LCDHCxIjIGGGirf9XdMIiRlM0wML7PiERSDDyf8biybUz4j7cjBJDOE0MwB01EbtL\nEZV+26fNssC0iDh0PhwRYVt3e0Ge2SC54t0E/i21/PnbLZQGQ5x/+qmcdP6Z5PfozcVTvxsl67vi\n6LlDWJKMgCBb91CoFVCU0ZMiJY80ju8xJTQXano6iua001ExW3KYFjn2piDqy+8jGuyFaKVp8GHp\nYV77dislKT5uGzKQ08ecirxgAmS07feIRKKcMngiAwb24bE5v2Zd3m72UgZAOilMU86km2hNbERk\njJetT6imHk/cxfJpX/DTW6/mqounkSvajtNC09Cyc1HcbhqNRuoNe+FsSYtvwt+yMLCYkNX2vesI\nuWQwTTmTQpFjJ+JeeJPZN2tU5Sv0pSs3ZV1F96zOg3qARasWM/22y5g4fwoPFd7PUN93p9Us+fY1\nXkhdCMB9DefRq3A4WUV9EIpCje6nNu7nsSo7OTfJOIUznl6HiCf4UJcsbwjy+uyZbb4vJKPUVu1B\n/ds/EKaFNawf1kU/sa+d001GXlfytba9trq/BrNZSTK6fSt1/3gdsKtIqdOmUSFqmWd+xEGq6E0J\n164vRF24yq4CAM5uPfD0H4AjMwsUBUMBI9WNmZuBIUwkEq/iJae4XztRknA4zIQJEzj99NN56qmn\nOnxuY1aMikQVutT5m/8lDifKUVG5UIxliLCNdw9QwQJrOY3NIgG9KeEiZTwiIvnFvY+wf99Bbr71\narJzMln4+TK+WrSCPz7+IGeffw7urHyKnAUd+hZu2bKF3//mN+zZsweXy8UNJw1lgh5BVRTMSyZi\nDOrNVrmP/VRQJeswMEk0Jph/+T8YPnUYU+44j1ThxWO5mPfQqzgshd888XN0DMLECMoIQSNA0AgS\nFBGCIoqBSbaRQlcjm8GxInwJ1Rb2aAwgKmoQh6sQTa3V0bJCwauXOwml2NduxHqDM1YZbNxWzkt7\n9rI7FCAYS+BIc6KlOXGmO3Fne/AW+xgwqA83T7iM3umtAjAKClqzWHUCo42QQRJVtVivvY8/JY7u\nceA8fSSZvQa3o6XXySbes5ZShh2MnNQcSChCYfOm7fzxd8+AlDz027sZNnyQnfB79wvWDEzw0ST7\nWRlidudi7WwUKRHb9qAs+rrN+UtFQVgWloA/927gpeeWM+nTi8hJzWSw6EmIKNvkAUxMFCk4f28R\nI94/jIi374WzenbBmjyeZZmlLDj4FV9d+znn3D6Bx666v33vbnk16vwv0INNvDZdY19Pe7IdZfZn\nonZGx+p6ponYugdl6VpEQwApJf+9eTtzvt3SftsTxAkFTCNGjOCzzz4jKyuLYcOGsWmT7bMTCASY\nNGkSq1at+t4HcCKYNWsWGzduZM6cOcnP5syZw8qVK3nppZc63a9l0hs1dwx9MovICIKsb6TRbOJg\nsSCU2vYid/U7GLrFZMjGKL7mRIQ5oAd1551MZUqMKllLlaynijqCtM9UyIRF4xfllH10gPJvq8CE\nQYO60X/MYIrH9sLq5eCg1krfakFxPIenBj9J74E9EAbc+rPrmHT+We1cm3VLZ33DWpZ5dxF12i/W\nKd8aTP3MwNFSbHBouHv3wdN/IO6+/VG9XhLSINbcoxEjnsxCWJbFfz82mxUrvubhP1yGDPmJo6Oa\nEtUE1elCyc3ByEqjIR1KnbVtKB49KOIC7UxyM7qiuNw4FY00NQ0rbDJsyDBefPHFpJdDZ4hEInTv\n3p2lS5cyYMCAdn9PWAm2RLbzZNUzWEgGbczj6eueY+7ZYxmcnYWzW3e8Q0+C7EzqlSAf+jawLr2c\n+M4A5v+U89XaLQzv35+hQ4eQmZFBtd/P6m++wV9bx41XXM5Pr7ma4oLWBUXcjBM0AsSEzpdfrWLW\nzHkEmoIMGzwQf00d/to6/vz73zFu8ADqF8zHKC21732XQszLJtHgs/jAWkYpdrCdLlK5yHU2PYx8\nopEwl198K9feeClXXH4RGg4UKRCl5RgbNmJu32UvIFuep66FWP17NjdQpoGqEo0G8IfLqQ6Vs8tX\nx/7CBJZiP8fpTZJJi3QGb7dA0yArnU/KKnhkwRf89aZrGNmjJ7SoHMZjSMNIKpYFFJVPduzileUr\naYiEuXLaJC6afBZZjQGUtVvYmx3mzWkacbfAYzq4RjufYpFLOql2ouEIxOtr8X/8Ltb+g7x6ucbu\n3iqKKZk6J8AnH23lo9JDXNO/DzcN7JfkPCf31WBHP4VdfVT29VCIeNu+o0LaC7ACJYd0UkjHR5pI\nIS0MaXvr8G07iLK/vNMqBtgZM6tHMVtHZ/JltwoalOMv+rLqLbodtnBFJet2VvD525uwNEHfGwdR\nNKEEZ6rTljs9HGLfG7vY/+5e+s8YRL8Zg1Ac7QMWV0zSb6/FwJ12IOhqZkdIYE9PhS/OdlCVb+/X\no9Tkind1fEfpNkR0g6/KKpi1eRsFaT4GPT+Whr4eFEtyxTs6A3dbSE2DLgU4i7vgys5D0ZxY4TDf\nrFnDtbP/xmsTz6JPZjoSkAN7Y51+EhTldVrNaHMvNBdqRkYb/xnd0Hn8d3/i3ZfeYeTtZ+A9NxV3\nvh04uXAyNN6L3qFi8rRMfD4vaLBJ7mWJ/IYwNh24n+xKl7VpvDbzdXbu3MfPBvXn0p7d7AZvIXAP\nHkzJzx8+7vH9EJxIsg3AZ7koVvLpIvIoEXkUk4tTdCL2IwQgkvRZAKIx1Hnz7SqFomBNPAM5YigI\ngV7l572Zc/jr4lXIFJVBF/alaEIvMovzoN7i0PKDLH5+CY1Vjfxq468o9bVWKwfTk/ObhuCtbEJU\n1tgsgYYmCEepzYTZ1yvoGuSs0Hnjvo956Y3nGN335CQ1rwWGYfDGZ5+wYst6hKoy4/5bWORcys7Y\n7uQ2zmYlsKN7rzJJ42TRj1FikL24kxLl1QUo+w+z6TQfb59rb39X/u2MiGdXygAAIABJREFUTDn1\nmMqQcz+Yx8NP/prxc3/Ck10eo9hV2Om2naG0dgcP1T2OpcLlu3owcOA5FHhKiPoEITPM2oavWWAu\nRUHhgSU9SF2xzVZyvPI6Tr3oEsq+3YDmdrfpH6yXAYKrlqMuXAmAeem5yEF9ECh09XXHndvqu2Q0\nNWI0MwuMxgaqX3gOGYvh7NKN3OtnIBwOamQ9a63tvCPtqtOdynSya3S0j5Yhyyo6OCsbMj0V6/ST\nkKcNASFw+TIozumbVAKWUnLFFVfg8XiYN29eh8GSlJJyvYKEpfNp4xcsD9nruunKBAaJnnZPTn0j\noilEzIrxYf4etnrtY/LhYYpyBn3pyvKvvuaD9z4nGAgy/KTBXH39JWRm2tUpoblwZeVS4C5sZ1XR\n0s8HEN27h7pX7T5Fa9Rwdk3sxqfWauqP6skFuwdz2c1fktojjaKzSjjw7l7MmMn4F89BSz1xKp6C\nYJjow1gxnCxxRGIiEEIcrmRHbDfvDq5Ed4ArLrl8vk7ffRZSc0BOJrJ7CbJHCbJrITXOMGWyhnoC\npOGjWORSLNrS2N24yCWztTLicBBW49TrjZjmUb281bWor3yQVGm0+nZHnjwImZsJCIgnIJ7Aisf4\nIGcbmzLsoGmg7MY0dQIOoWJZFh9+8AVPPf4Co3t05f6uXag9xcdb0zSkEPSimCuViW1MZDVDQV27\nBXP1WmSodZ7UPS4u/uRLzrjnbKJTHW0UAMF+HqYrE+guCiEaQ3y7A1FejQiGkQU5dkKudzdoVof+\nUq7js9IVLL1hIQPH9mfWw38g1du2/z8aD/J6aAGHM+xrMGGpzpkrJfQotllf2Rl2b1ooYge7u0sR\nYXudLoXgH3qcNzfuYMvWHSf8TByNEwqYRo4cyYoVK9A0rV3ANH78eL799tvvfQAngpdeeolFixa1\nqTA9++yz7Ny5k9mzZ3e6X6c89HgCuWUX5WWb2VwUZMsAlehRCzNPXOBQncQcZrsA50QgpSRcFsK/\nrhr/+hpqv6khUhkmvU8GGf0zydW8ZDQqhEoDbN5XRjAWZ/b9t3LmpHGIwry2UpKxOGLHPpS1mxFV\ntQRSYP5Ujb297Ae7xO/gyo8F6WVH8cSFQHYtwurTDVmcD9np4PWAJakIHWK9uZ0dnmqWP7qK0MEg\nY+ecjeo8vtBADumMVU/hpJThqCkpOBSNbEcmKWoKpmkybdo0CgsLeeGFF07oWj3yyCPs37+fefM6\nbuSuSFTx99rXWVe9noUXfMxv7/4PphkOzJ2722xXmyl49jYnliqYuEhn3GqTqGGwpqqGA+EoYY+X\ngu7dOXXESEacPhpVUTEDTeiVFSSqKtArK9GP8HxQfD60vHy2xxKUJQw8mVmcM3QwxoH9RLdsSgpj\nuE85lfh5Z6CrJkJzomRksjq6ji+aFiUFFEanjOBszxjKtu3nqqk38uLfn2LAwKOkbcMRxIbtdrN8\nwM7e1WYJtvdTONhVoSpPoSm9/USXEpKcscnBiKZiHF26ILsV48zIZsHbn/P4U7P4YN5chg5sH4x2\nBCkl6zZu4i+vvMKChQs56eQhnDZiKH0tSaLmAJ9P1AhjooQtxhrD6JZRQo/CLgzvMhCXQ6Px6+WE\nvlqE0A0+PdvBytEOIpVhrHkNrJi/lgsnjuO2c8eTE4ohqmshHEEaJnjdyKx0yM+xB9SCHKz0FCpF\nPXtlGftkGYepaUdfOxoOVIqtbHrUeui5O0qXAwkc0QTS64GsdMxuRezr42SJc2syEwc2TXCo6E2e\nyMTEokbWswf7d6O0F6KQlqR84SEOv3uAqjWVeL0epClxaBpjLxjLubeci5IPdXodjdJ+L11o5Its\nuoZ89Nyro9WF7EZlKcG07GC5+Z+BycKhIVYPsIOIjKDg6oUe8mM+e2zwuO1r5nHR6Jbc/v6L7F68\nj7EvTODmhp4MXd2YnFyPRkMszrSPF/LAKUOZ3KM73qHDSB0zHjUnFx0DHZ0YCaLE2wsQCAXhdKJ6\nU46p5rht4zbmzZzLlx8vRLcMhBsSTQmkJdHSnGBK9LCOJ99Lavc0fCUpaB6NzPoUyjeW4XA4uOra\ni7n28kspMH3E1q8ntHY1VtietH8IreJE0DJ3PP3Sf5GWl0J9sIoGfyn+eA3l6XGq80QbikwLBIIC\nsugi8ikhj3yRRTbpHTvZGwbqqwsQByvsIP7KKcg+3ezflzV8LbeyTR7AsiwqFh/m0Cel+NdWoQd1\nHD6NvJEF9L66H4uv/CxJ506NOZi43sWw1UGUDrK6LVh9msrH59qBXZdf7ebVhVv5+5w/Mfy0caQ2\n98stWr6C+//wCKmZKUw4+wwqq/28Pf9DTn38dIrOKmGg6MkEcXKSqhUlToAwFhIPLjJIabMwFys3\noH5pL8IT0yfyTL8NNBHizNSxXJdzJV618z693815hLkfzmP0U+OY1/N5PN/Ds60hWssj2x6mIiPO\niG0qk4fc0CYxMNf8kENUM0Av5qonDiAsi7SzziFt/ARGTb2QZ2fOZNz48Ukp5hbRhjqrifArr6Ec\nKEO6XZi3X0l2WgmpwmtbCnhTkKaRVHyTpol/3hwSZYdQPB7ybrsTR7NZb1TGqaCWp803CBFhuOjD\nRcp4m/my6wDq1r3IQ+UQiYFltaPKW0P7YU2dAA4H7txCuvi6oQqVJ598kjfffJPly5fj7uS9baki\nViaqmFXzFywkY8QwzhGnIjZsQ1mzGeFvpZJL4NuhCh9N0kg47evojUJ2UEURKnGPguJy49NS6Su6\nMFj0stkWigNnVjZFvq7JoMkMBdFrawGJGYtR+fyfoSmALMpj1U0D+JQ1gN1l3tvVi66uLniEGwOT\noB6gtqGGpS8tpXxrGemDs+g5o2+7RJUHF6l4ScVHqvCSihcVhRrZwB4OJ9d5LYHTaWIgBWQTJMwK\nuZl1cjtg91RenRhPvpFui0Z43CeUYDoSqfjIwqaMK24Palo6qtd+/i1p0RSrp67xMEbsiGReIIT6\n7ueIQ8fua7KATyY6+HqEXYHqfVBwxdfZODUXIhQhVFrOXzdu5Y39+znpz2PJP7OYQnK4QZmMq1kk\nQUUln6xk8kdaFnplBdHGWoLpCn/7ZCHLlq3lxb8/RS1NrJZbqJcBLCwGiZ4ME33aCS4IBC6c6Bjt\n5hUpJZ/wNSubvmXD79ZQ97Wf62+aznWXX0pqagqlVPK+tYym5qrmedtzOH1BVRs11o4hcPfrT3DQ\nUMbdOIPP332Xk8886zj7HOPbTiRguvnmmxkyZAh33313MmBqamri0Ucfxe/3M3fu3O99ACeCFStW\n8OCDD7J8+fLkZ3fffTc9e/bk7rvv7nS/ZMD08hPk53fSq1TXgHngEPtFJVvym9iRF0ZX22enVVTy\ntTybjuEsoFArSBp66pEQgbCfeqOeehmggQD1RiMNsVoanDFUQ5ISlmQfSMDXdSS+rccIG6hC0C0t\nhZNzcxj1jw/Yc/3lrT+YloLIyIB4HFlT20bjX+ZnY4wYwpKhUZYKO3j14eGS6Ch67Y4hdu5H7C9D\nmEc9lMCBbgrLTleTwRaAZVp8fdtX+Hxuzn9iKlJTsbCas4Y2Dz4NH4VqLv08fenu641Ds18Gt+Im\nX8tFbc5g3HnnnezatYtPPvnkhA0bGxoa6NWrF5s2bepQUCRshtkU2co1N10DQvD4Yw8zRPTEsesw\nYtMOrH0HQDd45Qq7mpEagnvecOFNKFih0A8yvTsWFJ+PjPMvxDvQpodE3RDM0JJBUrVew9v186nQ\n7QbfVCWFc9LOouyjgzz3h2eZ/8VreDW1DUVMSkmVVcvO+k3scJRTk9bxsaeGBSVBL4P0EvplDELL\nsJ9vF06ySOev817luRfn8vErf6dPzx7f6/yCoRCfL1nK8g1r2b5vN+GGAPGmBurzQPgcqEKQVeug\nsS5CVW09Jakp9PL56JGeSkMPN5vzEtRvqiW0J8glF03mppuvYlBxH3x42vCNLWkRxqZ5HYuCGEPn\noKihHD91spEmGSRghQgS6TSQcqBSQh5pwocuDSqoTQ66AL1FFyZqp1Og5YJi97dJ00TqCaSewJIW\n5fjZI8vwS1vFzSvc5JFJL1FCIdkYwkHQMFA1N7kFbbOILQ7jZjTaoQKgDYGKgmKT7dAxk9dgk7WH\nBXIFJiYaDs4VozhZ9E1SFg7JKt6zltFAgIMLDrD9j9/yzLOPMHr0qWQ3gDhUQfxQKXp1FUZ9PaZh\ncPPCJQzoUsIfbr8N77DhqCmtFUIhhO2R5PagaBoJTCJmiJiVQDoUFIeGKtSWTsdWmRwpMTAwZbNk\nr2ytYgebgvhDfnY6drPZ2kZI2osAM2ESKQ8RKg2RXu2lh15MfnoOg4cOoG/fHmSYXjJEawO71HUi\nWzYR3bGNkod/18m1/OfgmKIPdY2Ym7ZSU76T8kydsmKFQyWC+qyOqY8CQRZp5JBBrsgglwzyyKTg\nvXVoW/cBYF4wgcTwvuzhMKutrRymOrm/Gyc9zQLydjegVdYTc9u9ZWGfIOwVPHnmK/zh/WvodcBi\n2BYT7YhhX6oq5GcjC3KRuVngs8WHrGiMud03cTgzRmaDRd4923n2my1cOm4kOacM5euvv2X/gYM8\n8ODPOPsnY5HAu3IxS79Zw4rbv+K38x/k4q4TTvh6ii27UeZ/gQCsgb2xLj2XT8Va1phbKNaKeLj4\nAbIcnfd03PbYf7B4x2JG/XYsf+/11xP+3SMRtaK8svkZFqfsxBuW/LxpMmoXW2ynVjYy03oHgKtX\nZTNgcTlKSioFd/0c1efjv2bORgjBo48+mvw+MxBAr7crIoGmKpqe/wsiFkfp0ZXCa2/ptCeradEX\nBJcvASD7imvx9LeTWUJVcWRlU+Fo5KvAMj5p+gKAm5ULKBGd2GhYFlTXoixfj7Jjv/3RKYOxppyJ\ncLpJz+3C9hXbuPrqq1mzZk2nfmAtnkumZfJX/zwOJQ6TSSo/M6bien8Jys79bbaXQiSDtdpMwXtT\nNQ52PXZ/nwuNC5VxDBT2fOTwpJDvKcRtqMng05IWlR+/jVy/CakoLLv7ZBb6bBW0Qq2ASzIvpMh5\n7OqiZegY0QiheAPxRAQNFQ+uDpVVwRZpiUudDcY2VpgbCR3BHhKINnNLIdlcqUwkTbRXPxYoHVPq\njoCCQjYZpGipqCm2nH9n9jOGNKgJHCbQUNG6/rMsmyq3ZjOivLrdPlJRwKkh4wkWj1NZMtY+566H\nLa54N0FaCEwFvh7p5JVUPyvvXcppPxvJU9c+mBQWUlAoOFLt7ygcrqhg5JSpvPb2LHr0tJ+nFrl7\npGwWDms7H9tskFZ/xbhM0ES4Wc5c2OazvhQWBZbwVXAZDdvq2DlnG9XLKug5qTc9b+1LSrc0VFSm\nijMYrvSFeAKx+wBi3yFEhR8lEEbqenP/ZTauXn3xDByEIyubS27+KacMHcpvfvUrnPntRTZOFCcU\nMO3bt48ZM2YQiUQIBoN06dKFyspKioqKmD17Nr169freB3Ai0HWdiRMncscdd3DJJZewc+dOrrnm\nGt5++2169Oh8Mdgy6b30ycvkFeWBbkAkihmNYHUi3ZqQOuX4bVdgIfH4MsnzFJLXHBQcC5aewAw0\ntV0YSVtAQRyqtCkRsUSzWaMFlkSRAs1S6P7L/2L/nbdgdmBeCICi4Ok/EO+IkSS65tMoQkgsdsqD\nzLeWJBVPThX9GSdOIk3XEHsPIXYdwDpczu7cCMtPd3C4pHVQy66TnHw4hf6uPni69OHGG3/BiJEn\ncd8vbrUzgw4HiuZE0Zq9Ro5SVUtTU8l2ZCGE4NChQ9x0000kEgk+/PBD0tPbSrYeD/fffz/RaJRZ\ns2Z1+PcX35nL/T+/nwkfnEdxaj63iAtbs7ZSstPYz5vKVwBcIs5inHIS6SLFzgbW1xMv3U/8wD7i\nB/ZhRdrSKYXbg7OwEK2wGGdBIWp6BtI0MeprMWpq0Guq0Wuq7P1UFS0nF++wk/Gd1GqqpvpScOTk\nIoQgZIZoMJrQpY4hDZYGV7A0sDwZSKWpqex8ZAvB/QGeeec5FGHij1ZRGj/ELlma5Ia3wCtd9Inl\nUphII1/NJs9bhE9rS4MTCDJJIxUvf3zmWd76YAEfv/oK3bp1S3pcWXrCFos4YjATqmoPdg6HLTvq\ncNhVBMUWJ7FiMcxQkJhhS5malk7thlW83HsHwVSBlpBc/bZOl706BwNB9geCrCgQbMkMoHo1Bg7u\ny89PuZ7MzFwK1Byc0tGhJHYLTGkl+2PiDgvF7U4+ey0Kb+33MQkaAQKxBmoTfg4kDnLALOuQvtGC\nErWQn6SdRR+f3UTtECo+1YdbuGyjQStGOBHEiEWwohFkBz5LQnOhpqQmKy2qUNGEhoWJbuntQjhp\nGljRKCIWx6WreHDixomK0iYTb0pbxaiJEBJJmazhTevL5ESeTTpdRB6NMpSkfqooXKKcRWhNI/fd\n+Vv++PAvuf7i6W1+X9d1bnngl1TX+lnw0rw2KomK24OakmIbKf9AawJb8CNBxIoQsSIkrNag35Qm\nhxNlVOt+4jJGpppJN1dX0tTW51kVKnlaDm5Lwww0YQYDbcwzFbcbZ0FbZa9/Nk5IJa+l53PDdsS+\nQ4S9cLhE4VAXB4cG+ChPT2CIziXCHYYks1Hi1VJJpLupobFN5jWHDEaJwQwVvVsXL2VVKF9vROw5\naEspA31efos9119u0y8Lc+zgqND+R05mc9+tHZQf+f1Vso6/WO8jkYzd4GDQP6p5ZcduEppG35+c\nwYUzLsfpspNeX1nfsFTaTBLjxSb2fLab19+e3Uobj0Rbe9MMA9wupNtlL/AOV6Lss8VotIJCUm+8\nAb8zxB5fA68G3kEAvy/+DX08na8jpt0/nd36HsbfO4FZ3Z861q3rFJa0WFexlKejLwNwzdp8eo+e\nCsD71lI2yj2kmm7u/1Mjqmz1h3LmF7By/Tfcdddd7dg0R3pohbdupuEdu/KZNmEiaePObHcM0V07\nqXvjFUCSMmI0GZPt3z9S0j1gBqlO1PBs9fP4jVqKRR43iSmdN7WDTXdcuBJl9UYAzMvOQw7oRU04\nwWU/uYrXX3udCRM6DnAtaVGhV5KwdNaHNzC/YQEAV1vn0P/ldcmFuRzQCzH6FIzCbLuyEk9ANAaR\nGCIao85oYK+zhggxzEQMV20IKxHHn6Owo5+C0awyN0YM42xxanLM8+FtNng1CZTuRn15PgCbLu3H\n2/0PAtDb1ZOrsy/HpXw341kpLWQshpVIIE2j1eBcCNv/UVXbeKjpUmdtaD0rgqtosloZOy40xojh\nrfTSZgiEXbHCiyYcJKRBmCghIke8awKn6saXkkWmloXDoXWoQtkZIpEmamv2NZuxto6DDh08TXFc\nwoXm9pJwqQQcUbtSJiWEwqyOfcvnWbsAUC0oafLQ5LNodNprVNdhhS+u+Zjb/+N6LrvqQlTVSZ6R\njquTYElKyRW3/4xBffty3723UksTiteHmp6OaPFLtEzMpobmwEkcU+VVVywas1T0IxQIN0W28FnT\nQprMALG6KHtf28WeV3cy+NLBPP7zBylxtlXA9eIhh/ROPQvf/GABTz7/AisXvI87PePHD5jAdoFf\nunQppaWluN1uunXrxpgxY9r12fxY2LFjB7/73e+or6/H5XJxxx13cO655x5zn5ZJ74svv6BLSZfk\nBbUSCcINlTRG6prNPDsywXSiZmS24eefKKxICCMQbKNidjRcOEnDh6+ZM+7p0YvogX1Y0Sh6dRV6\ndRVmoAnhcuPIycHds3cbCowhTeqUIHEX+K1G3ol+SqX0A3ZJuRuFZIpUwjLGIara0IoKE2mMTQyk\nf0p/FLX1xaiva+CGa+7hzHPP5BePPtjmb0fCIVSyHVnEGmN8/vnnvP322yxZsoT77ruPBx98sEO5\n6uOhtraWgQMHsmjRIoYMGdLmbzU1NQwdNpSH5v6a1X3WI4HRjmGcK08DbBfpF60FhIjSnUJuVKbQ\nRRR02AgopcQKhzGbGkFRUDxe+2U/QV8hobU3t1NTUtFyjq4syGbJ8kYkUG/U80XTYrZEt9rmeabF\n6nuWgSUZ9fS4dlTINHwMEN0ZILrTlfxjGph6hZcsVw41/gZuu+demoJB3n/3HQo68DWRUtoNxFIm\nJ4zjQUqJGQwQr/dTLetIoFNXd4i/uxbT5DEQluTkbYLueja7B7jZ4rEFQwrJ4QbfpaSl5VHsKUny\n6cFWq7MiYaxo1K7mSBCaw57QXC4Utwc0B0EzRMgKkbASxyHjHX3MFg0RPwfipVSY1YRkBFVxkOPM\nZYC7H4VOe9BUhUq2IxOf0t4E2pIWEStKyAoTSYSw9LjdqK8o4NBQHRoexYNP9eFR3G0amaWUyYDZ\n5neLpCeJU3Hankp6wvb/aJ7ApWnaPkuGjjRN4vEwNYlqEhgErTCfydVsk20zvQB5SjbTfJMo8XQF\nKfHvrObK6dcyfvQoHr7rLroWF7Fp+3YefuxxNM3Ba7Nm4vV4EEJBSUnBkZZ+wibb3wchM0y9UX9c\nU26wK9Z5Wk7ba2kYNgUqHAbkv0/AdCQaAygbtiPWbUmqS5kujYYzB1J9cjF+R5BaGvGb9fitehKO\nzp/mXhQzShlML0o6bmYGu7JQ3wSxOAPGTWfHpk8hxdcBNUiQTgqpeO0+BmnRRIgm7Gv5hbWGVXIL\nAsGMjT3o9slOW40KkCOHYZ09ii3qId6VdjJqmOjDBXIM1191NxdcPJHLLpyIsnoj4utNiKMq+R/u\nP8jftu3kol7duapfb9J69SZr2mWoaelE3YKqtAR/qHgcE4srsy/lwszOpcLPvHECwW4RJs6YxGNd\n/us4N6NzHG7azzMHnqQsJczQbRbTel5DnU9npvUOEsn5q1yMXtyEIzeP/NvvQvX6cBYUYhgGubm5\nbN++ncLCthUOvdaPGbIX1/XvvU1kkx1UZUy5iJRTW02z4wcP4H9lHhgGWkEheTNus+cT1YGzsCiZ\nkLSkxeFEGbuie5hba7chDFH7cLEc22YeaJBBNsu9HJAVtogHLgpLo4z/MkRhk5OG6y/mmut/zmU3\nX8WD9/0Kn9qxJ2SLKl7YDPNU9UyiVpQBdOfKDyyULTbtPeXc80gfNQYhBAlp0ECAaHPPYaeQErG7\nFOXz5QSNAG9d7ExWoY4OmgBI6KgvvIFoCFA6LJN5UxOYmHTRipmRe32b+ePHhpQSv1FLTbQCn+Ek\n10zDabbtP3TiJK/FPgEAgVAVO7GnKFiqwHJpuNypqMcwPz8RWPE40aoyYpbdg+5C67BidqRiags2\nWrv5TK5p8xnAENGLyeJ0/IfruOHqu7n71/dw5y134RFuZDyOGQwkBUpa8OYHC3hi9mxWLfgAl8uF\nkeahzmd0bEofipAdVG0p8Q6gOF1oefmYKlQkKtvMD7rU2RrZTp1RjyF1cqu8zLpvNo2NAWb95TGy\nm1WofXjbidUciZraWkacdz7v/G0Opw4biuLx/msCpv8f0TLpLVq0iJKSknZ/t+Ix4o11NMbqCVhB\nJBbC6UL1+o6bAXArLryKF6fQsJAY0iAm4+iWjomBaZn2wjwaTlKuNDS8uPHhaVfubAmYTgRCKKiZ\nmaipaTSZTTQYjRjSZHlwJcuDq4jKjgeyHhQxRhlGT4raDFSqcJDhycGZlkVDMMC086dR0rULv/mf\n35BdmNO8jYJTuNi7aQ9LPvuKTz/9lK1bt3LWWWcxdepULr/8clJTUzv83RPFrFmzePfdd1m0aFHy\n+Fp6ovr168d/PHInHzd+xrKg3WA7wTuGrnoWH+pLqaMJJxo/VS+kr+hKOsf2ougMwqEhFMVevJrH\n711zpKXjyOpcVj9mxanWa5IDSq1ey4bIJrZFd1AdrmbVvUvRAzpjZ06ge243erl7MtgzkAIrEwzD\nlp+1DKRhEmxsYsvmXezde4BINI6pS9AVdN1k7969rF+/nnvvvZeHHnroewWtx4OVSJCo8+OPVREm\nSoMM8qr1WVJm9kgUiVxuyLmGVFc6+VreMfsTTui3pV31ick4hrQH6JZgRCKxvscw1mKifKxg9Mjf\nj8s4pjSR2BUdt+I+oX1/CExpUqlX2XLOpsmheBk743uo0qtJc6TRw92dwZ6ByQAjy5FJhiOdpqYm\nHn/8cWbOnImu62Slp/OzG67nzptuwp2SgpqW9k+pJp0oWjzPmoymDgNfAWQ6MshwdD75ScPuA5G6\njrPguzf9fxe00rn/m/z8HI6lVNkGsXhzALExWQGSTg3ZowQ0B2L/YYjEqM8UVIzuSv0pXYmSQMNB\ntiOLnql9SffYXjTt2AqdoMWH6WioqOSRmexLOBJRGaeaenSp81frffw0kkEqt/jHkPreMkSNrdy5\nf1Aqf7/QxFAsupDP9cpkHEJl24at3D7jF3x28fmkNb97UnPY3lEeNwfKq7jyxTd48KwxvLZ5B9dO\nPZ+fPfCL5LjuLCymnFqer5nD/ngpJ3uHc0/BzzpdFA+7YDi+CelcfNnFPFB0z4ndiw5Ql6jjo31v\n8qm2Di0huXlpHl/9xMtODpIWc3Dv0yE0E3Kum4G7Zy+chcVJm4fp06czefJkbrzxxjbfKaVEr660\nlUITCWpffYnEoVIAvMNPxjtoKPFDpQRXLQfTRE3PIG/GrahpdqJOKyhqYyXR2NjI7Bef5+23/sHu\nPbuJhWM4fBrZ3bIZNLgvg8YOxHGGlzK3v8NzFFJy0pIY859cT59RJ/GfT/4WR0oauY4cUo4Kmo40\nIn63/gO+iXyLE407tg0m673VAMk+rqNRLwMEjmJDdIh4AmXBYuTOvbx9Uatv43hxEmcpp9jbWBbK\n25+h7NxPbbbCX25NIaokyFTSuT3/p238GxUhUFCSY/GJQkDzeC3ANufguyx/JbZfpRWLkRIXZMl0\nFE1D8dnrxY6Sqf9MWImE3WNtHjvxJKWkutmTrwVxqbNZ7qWeAG6c9BVdKBQ5CIeGIzOb0gOHuO68\na3n0j49y/fXXJ/czGuqTvXdllZWcPvUC3p83l5OHDEFNTUPLzsHjYVCEAAAgAElEQVSQBn69lqjV\nuu5MUX02+yhhYNTVYh0xjgmHhpqamnz+waaEVupVmJ0wTwASDfX8+Y/PsPCzpcx95Wl6FnQjh2Mn\nu6+7625KCgt59MFf2e9aXsEJmzt3hE4DptNOO+2Eb/7atWu/9wH8mDhewHQkDFOnyQoSldE2FBKw\nX1BNaGhCw6248CgetM6UkJoRt+IkpI5AoMQSqOG4nbnTDaRp2KVgzYnitLPNzty84wZMQgiUlFQc\n6Rlt6HExK45f96NLg4SVYGt0O+V6BQ1GIz485IoMBogepOtusFqCAEGKmkpaSh4paTkoR3xfJBLh\nj3/8Iy+88AKjR4+mR48eVFVVsXLlSlJTU5k8eTKTJ09m3LhxuH5g5uRIGIbBqFGjOOOMM3jqqaew\nLIsbbriB8vJyPv/8c2JqnBrdz1/9czmcaCt7rqJwbeYV9PP1s13IJWBZSMsC08SKRbEiEawOqFWK\ny20b7Hl9ba6rNAzMSBizsRFpHT1ICbTsbNTUNI4HQxrU6LXErFi7zxsSDcz6z5l88c7n/OrRh5gy\nfUobn4R4LM6yT5ew4K0FLP9qOYOHDGbYsGFkpGXg9XrxeDx4PB6KioqYNGkSnh8wGJworHicmoYD\nNEZrMaTJOrmddXIHUeK4cTHWN5LTMkahCpUcLYs09fjX6IeipaKTkAniMkHcihO34u0mVAF4VC8Z\nano7laZ/VxjSoDJRhS6PHcBnONI77AMJh8O4XC7UFhrKjzipHw+61KkzGoiaETvwFAo+xUeamnrC\nGWRpWT96oNcyd7z52Vt0KS6xeyKi9RixSJssc6cIR1FWfoNYu6V9L6nDgTXuVOSYU5IVIcXjxZHR\nvs/WZisEjvmbHQVM7RS4OkBIRqilkUpZyxxrARYWeWRyDRNJX7aNbbXfMn+qA0MTZAQEt27th9eZ\niqipR+zcx0MLl5Hm1Hjw9BE4RpyCOP1UpNdFXNe59JKbuO7S6dx5/Y289u58PvpyEW88Pyt5rs78\nApqMAPPrF/B54EvSlFSe6PpH0h3txwpLWvQc24vuN/fh+snXcmPetZ1f9+MgYkXZWbGOZ8MvE1Pb\n3pcpn+qM+sbEM/p0ss+d0i4b/eKLL7Jw4ULefLO94Ig0DBIV5UjLxIrFqH11Homyw+22U9PSybl+\nBlq2nYh0ZGTiyGh9Zzdu3MiUKVMYM3YMU6+7gD6D+rLEXM6qmjUESwPUbfRTuaSMxh31lJzbjX4X\nD2TCGeMpJodIIsgGuYt9u0tZfddS+vfJY84jT+DMzUfLy0MIhTQ1lRTVh0AQssI0GTZt+WD8EH/x\n273oE/WTGPvMBkQsjrv/QLIvv7rTMSMsY9TR2E4lrf0FkiiLViNXb+DNaRo7+rcGTWeaQ1E/X4Hy\nzTb82YJ5M1IIOHU8uLg1/+akSbpLcSb7xltgSIOYFU/Sfy0pEdjMAafiwi2cOISGU2idji+WtEjI\nBFErRsAMdlwtaYYAsv9Fc1pHsBIJ9KrKDtYjR20nJVXUkaBz4RehuXBkZyOEQqYjg+q9VZx99tk8\n/vjjXHNNq22DGQ7j37+Pc6ZP5+pp07jv9ttxZGWj+toG3zErTsyK4VO97dbHVjwOSITm7HTstoOm\n6mNefzPYxAtPvMC7b33E56+9RrdjrOs/Wvglv3r0UdZ+8jE+r/cHB0twjIDpSF8cv9/P66+/zsSJ\nE+nTpw+WZbFz504WL17MLbfcwtVXX/2DDuLHwncJmI5EywsEoAntuL1L3xVSynYDkBACMxazaUrx\nGFjNt0URdmDlcqN4vZ0+bJa08Bu1hM1jG7OppiRFeEnT0tu6KneA6upqVqxYwcGDBykoKGDEiBH0\n7t37mPv8UDQ0NHDZZZdRVlZGMBhk2LBhvPPOO3g8niRVIWSG+TLwFWtC67GwyHfkcW762fT39CPr\nBLLUUk/YWRpFRWnp2zkGpGVhhoK2Qpe0KVRqekbS9PBE0Wg00tBM0Tsa61et59Ff/oGyQ2WMGjua\nVG8K5YfK2bhhIyNHjuSqq67i4osvJiOj83P7V6MuWkN9sAJLNxCKsLNsbneSy5zuSCPb0YnYyr8A\nlrSSVShLWihCwSmcP3pV6MeAIY12tIUW2JN4dps+oH93tNybfyXN5rugo7lDSknQCFIfqiDW1HBM\nynUSoTBi5wHbrV4IyEzHOnkgpB8htKG5cOTkJN+boyENA6OxHreukIIXBYGFtL1OEOT2HELl/o1J\nsRAvnmaq9/Gz5zWynggxNll7eF8uQyIRCFLwJK0zMhotbnhNJ6eh7ffVJXSmfryQd/7yPCNGjU5+\n/qfnZrL6m294f95chBBUVFdz6rnncfibdaiqirOwCMXlxpIWq0JrmFn9FwD+s+hXDPS292OKW3GK\nh5Rw8qOjuHPcz5iaed5xz6szWNJif8MODjbs4tXYh0Rd9jmNXmNw3pcGSlEBxTf+DOFwtKkugf1M\nDB8+nOrq6g5bEaxohES1LfAjTZPw+jUEli3BCocQTie+U0aQNn5CklovVAfO4pLknL527VqmTJnC\nrFmzmD59OnVGPU2G3b+3I7aLlaGvqUhU4BIuUuq81H/iZ+Vby2lqaOLU0afidbso3XeA3fv30e/u\nIfS6oi9Dyrxc3PVKtLSMNuIuR8KUJjOr/0K1UUM+Wdz2UQraxt0Ip4uCO+5FTWsJDgSqz2evQzSn\nTesWAguLukQdQb3JTlKaBpaud1gdFeu3Yn22lDcvcbCrr30Nex8UjFodpy5LsPRMFxGnhYaD6zKv\noJev9wlVn1vQ0drqu8CSFiErTMAMtEucO4RKnpb3v55oa6Uod1zdE4qKUFUMBSpFHXoiCm3YMsLu\nV01NQ0G0CQC3b9/OOeecw80338yDDz6Ix+Nh69atzJgxg1GnncaTjz2KmpL6oyXdOqpWHYk0NZW0\nqMLMp57h6Tl/5ZNXXulQ1GrXvn1MvPxKXn9+NmNGjEDLLzimquuJ4oQoeTNmzOCuu+5i2LBhbT5f\nv349s2fP/tFV8r4vvm/A9L8B0axH/0MRMSMErRBRK5qkKalCwaN4SFVTvpcc678auq6zZs0aCgsL\n6dGjR5uKy5EGiiEzjC51MpsHUk1olDiL/lcz6MeDLnUajEbCVqTN/VaFglfxUneolm++/oZ4PE5R\nURGjRo36twqSjkbIDFFr1LWjxGU6MpL35f/wz0HLZB4yw8SbJxSX4ibHkfVvG3j8/4pjzR1SSgKJ\nRupqSxEJHQuJzvdU4lQdaDm5nQqagJ1Zz1Iy0YJRjKYmjg6EjqRzC6HgyMpCTU1r7omLY8UT9qJc\ntcdRoTpAUZB6gkQ0xOHoISwjwQ5ZynxrSRsbjS7kc1nlYNI3HbSb/2MJ1NRUfD374TvpFOYvW87j\nM2ex4oP38bjdbNu1i0lXXcPKBR/Qtbi1z+zUSecx+7HHGD1uXLK6AlCZqOIXh3+DLnWuzJ7OhZnn\ntzv/BqOR4i7FnP3mefz65F8yMvW073WpW1AWKydUVYo/Ws3XVUsYsK6Jfjt15OknkTX+XFK0lE57\nHQYNGsRLL73Eaad1fAxH9jMByTG+ozlJy81D9dlUs1gsxvDhw3nkkUeYPt0WazGlyaFE2THXBVJK\nyg+Vs2G1PWdkpngYecogltV+wcoCO3gbGe/NJO9ZOPMLOnzOFjYt5qvgMgBuqh5FzzlLAEifNIXU\nUacDdlVQy845ZnJRlzpBM4QlLft8dRMRCCEiMSwsgraUD2LfIaxPl/De2CibB7c/HjdOrvFcSM/s\nQQj4p1C6vw8SVoKIFcXCwiWceJXjm1T/KyFNM6lIZ99XCaqjTSI3bsWp1KswEnG771ERdttBc9Iw\np4NEW1lZGffeey+LFi2isLAQv9/Pww8/zJ133tlmLfZjImSGaTAakqwKh1DJcWQnnwMrHudvM5/j\nt//9BB++/BKD+/dL7nuovIJJV13NQ/fcww033nBMJcLvihNqdNiwYQMDBw5s9/mwYcN+dA+m/8N3\ng1f1Jh8qvZkSqKL+W73ox4OmaYwZM6bDv6WpaQSbA6Wj+djZWta//XlqQiNPy0VKSUImMKWJQziS\nC97cXjn073Vs1/t/J6Q0B+FNZoCwGUYiyXZkddpg/H/4/lCaKTVpamqyYvZ/+NdDCEG6K5P04kzM\nYACjsZGYESFAhAixZmlhW5WuWT4BBSUpxW6r1VlIAY6s7E6DJU04yHRkto5zmR7U1DSsaAQrGsWK\nxWzKMTa1S/H62vRRCFVFeLyd9+M6nXh8KeQabuoi1QwKe+geLWQ/FdTLAL1EMUUiB0rAKukBCHLJ\nxCdaM7XTp0zhqxWrGHHe+Vxy/mT+9vobPPH/2rvzuKjq/X/grzMrDMMq+yKhImpqgWQh7oqymFtq\nuFVezbotZJuPXMqfpvXVm4rXFstsMdNbWtdUTHBL09TUMHPNEkRQkUVAthmYOb8/kLmOMDDqzDDg\n6/l48Hg453zmnDcfZD68z2d7c7ZRsgQA/Xv2xK5fDqDXsOFGx52kKgTK/ZGhvYDzlZn1/r++WpUH\nbZEGCjelYXjW3VDLnFDu4Agv0RuP3jcGCNJBV1UNmYMT1DeWsb95mNzNBg0ahNTUVJMJk8yjVc2q\nmjeGYZpqj2Ru7oZkCQDmzp2LLl26GJIloGZYmavUxTDHqD6CICAwOBCBwTd6QSGiOu8qBkpjofnj\nSxzpIuKQ8i+o9W7oc72nYb+nWhmaC/jpes1wzu7oiJD/1mxTIvf1h/qhh2tibWSebi25IDceEiwD\n4OhVs5BVfh5U1Q7IRzHK2raG8M/xGHn8DEJPZWFvcD7yVVpIhJr9j3pKHoSPW80ehZ5yzyZJlgBA\nIVHY9YMoQSqtMyzuVkqJEn5yX1zGlXofatY3KiEwMBDr16/HpUuXUFBQgNatW9/2qsd3Sy11glrq\nBK2+ZuGPWx/0S5RKTH31Nah9fDF4/AT846mn0Kd3b5w+fRqLFi/GrFmzMGXanc91NMWshMnf3x9f\nfPEFJk2aZJhMrtfrsWbNGvj4+DTybmoqjc2zao4kggReck9c1l42es7qLnODqhn0ntUSBAFKoXnM\noWmMVJDCQ+YOD5n7XQ+JIPMwWbIPUmeXmsnPWi1UxUXQlZWa9TsgAqjydkWxtBJVonHvlADAVeYK\nN2ndpXIFmcxwz5uZ+gPfHG5SV5Qqy1ClUMLZ2QWdr6kNm3LfzBOuRskSUPM59tHCd5GyYyc2paVh\n1/pv0b5tmzrvjenTF//65BP8v1ueUDsIDmitDEKG9gIuai+iUtRAJRh/jmeVZEHUi5CpZJZJmKRq\nFDiqoK+4MXxdKgWkUrjdWChIqlIZDcW72eDBg7FgwQLMnj273vOCRAK5pxeq8vNMTM4XIHN1Nfp5\nXbx4EZ988glOnTpVp7Sr1AWlulKzVpisuboAqZs7xPwqJGgjUX7mIE51kGKneATKUgV6qPpCcmMP\nxStVuVhX8C1EiPCGBwYdUkDIvwZAgNuQYTf+IFeblSw1ROLoCEVAIKoL8uFVJkAv6lEhrQTC70cX\n3I8ugOH7kwlSSJ1dIUhl8JC5wVl6Z4s30f8oJUoEKgJQUF2ICn0FpJChlcy90UTU398f/v7WXY20\nMY0lrOMmTEB0r15YsmQJ3v/oI/j5+WH37t3o3LmzVeIxK2GaMWMGkpKS8PHHH8PPzw86nQ55eXnQ\naDRITk62SmBEpjhIlPCSe6Kg+hr00MNF6szhX3aCyRLdiyQKBSRe3pC6ukF3vQT60usmh1IJggCF\nty8cHR3hLIo1K53qiiGKIpQSBTxlrW57v5m7IQgCPOUeuKzNhUQmh+DpheprhRA1/5tH4NHAXioS\npQOGjRmDEROfuLHfW1VNL4u2Zs9BiaMj+gwdijFTp0Kv1xsN61FIFAhWBgHXa/6AL6kugUphnDCd\nv5oJpbsSaqmTRXquZYIMTo7uKJYVGxJDOeRQCzVDrmTuphOE3r17Y/To0SguLjb51F3iqIIiIAi6\n4qKalQ7Fmi2epU5O9c59Xb58OZ588sl6Hz5LBSn8FX71LvoiFSRwlbpAJVFBKkihEbUo1ZWi9EYM\n+oj7MeqDo1jtWI3MYAm2ir8gOy8P3d2jkKcrxPaSnSjXV0AJBR4ri4Ry91YAgFO3h6AMDIJEoYSs\nlRlL6ptBkEgg9/KGxNER3vkiLol5RkM/a5fmFmRySNRquEidzZqzROaRCTL4yE1sftzMBQcHY9my\nZTa5l1kJU8+ePbF3717s3bsXubm50Gq18PHxQY8ePeDt3TJ/CGTf1FI1VJIbO1PzaTsR2QGJQgFJ\nK0+INxInXVmZUW+NIJdD7uVj+KNZEAS4ydyglqohQmyyUQGOEkd4yNxQWF0EQZBA7uEJXVkpJNfL\n4CaqDfsF3kzi4ACZm0edydRSuRxSlXFy5QLAxcUFV65cqfPUOtShZviVHiLOVf4F35s2ptSLemTn\nZUPh5gD3elaAvFPOUjVKXVxRXZgPAHBHzdAkqbtHg/MdVCoVoqKisGvXLowYMcJkOUEigczdA1IX\n15q5I1JpvQs2Xb9+HZ999hmOHDli8loyQQZ/hd+NYc/lkEvkcJKo4CRRGbV9KsERKokj1BIn5Drr\noamsgLT3Ixj/7S785zE5/m4jxXH9ORwvOGd4jyOUmCCJhd/WXyFUV0OicoLrwMEQJFLIvX0svhql\nVO0MpVwB31wJLumuGG2kDIkUMo9WcLqxJDWRvTF7sxa1Wo34+HhrxkJ0W5goEZE9EmQyyNw9IHP3\nuLEyZxUglZpcWVNWzyaUtuYmc4NCoryxtHI1nN2CoXZ1hL70OnSlpYbET6JQQubucdtL9IaEhCAj\nI6NOwuQlawUPqTsKddfwl+Y8eiHacE4rapGbnwulmxIeUsslTCqJCm4qL1wrL4d7pRIqwQFSlRNk\nLo3P1Rg0aBDS0tIaTJhqCTeG+5ny2WefYcCAAbjvvvsavM7Nw54bo5Kq4Ofoj2ynUlQ/0AEOB47h\nybWF+GWQEw50l6EYpZBCgo5CCPoI4fD+IxeSsxkAANdBcZA4OkLu5d3o6rF3SqJUQhXQGv5Xpcir\nzK3ZL0gqq0mWFC7wlnlypALZJbN+Ixrbk8le92EiIiJqSoJMZrU/Pi1NJXGsMxdUcmOvILG6GqJe\nf9vbKdQKCQnB+fPnER0dbXTcUeKA1spAFJZfQ5YmG5V6jWHpZq2oRV5BHhRuSov2OtQMQ2wFdx83\noLxmkYZbF0QwZfDgwRg2bJhF5mt+/vnnWLp06V1doz4OEgf4urVBdtlx6GOiIV27GT3TihCl6Y6y\nPl0hhaRmQ+P8a5Bs+QkAoGzTDqoHwiFzcb3r/WoaI0ilUPkGoXWlFyo1pdA5OUAulcNBcvdLPxNZ\ni1mf4jNnzjR6rdPpkJWVhV27dmHKlClWCYyIiIjsgyCTmdgpyjxt2rRBRkZGneMKQYHWiiAcK/8D\nWdqLuF59HQ6KGwmTvgoF+QUWT5hqSSVSwMT+RKZ07twZGo0Gf/31F0JDQ+/43idPnkRBQQH69Olz\nx9doiFquhruzL66F6qHvdj8kR09CsvcwnNxdIHYNA67kQ/pNCoSqKkjUaniMHA2JQgGpu22GwwmC\nAMHRESobbLZOZAlmJUymup4HDx6MZcuWYfjw4fWeJyIiIgoJCcH+/fvrHBcEAe0calbWK9OXI6vq\nIjzlraCDDsW6YhQVFkHpYZklxS1BEATD8uJ3kzB9/fXXGDt2rFX3tvF0a43y0kJoBveCcPEyhKuF\nkG7cAfGnX4HrpRB0NfOrPB5LhFTtArmnN4fDEZlwV7+pHTt2xOHDhy0VCxEREbVAtUPy6hOsaG1Y\n8CKzMgtl+nIUVl9DUXUJNMUaKFyV8JZbZsU2S4iNjcXWrVvv+P16vR5r167F+PHjLRhVXVKpDAHu\nbSGXO0I3YRj07VoDAISiEgg6PQQXZ3hPmgqHkDaQububXE6diMzsYTpz5kydY5WVlUhNTYW7u+Um\nYhIREVHLY2pIHmC8gW2WNhvXqq+hSqzG5arL0BZr4BbqDj950+4Jc7O4uDg8/fTTKCkpgYuLS+Nv\nuMXBgwfh5OSErl27WiE6YwoXd/hf98NVZykqxj0K8c9MoOAalGp3eIWG1+w75agyew4X0b3KrIRp\n+PDhEAShzr4SLi4umDt3rlUCIyIiopYhKCjIsC2J4paFI5QSpdEGtrV7Dl3QXERViRY+Ht5QN7LR\npi25uLigV69e2Lp1KxITE2/7/Rs2bMCYMWNsNvxN6ekNn8s6VKAS+jAPKCCH/MbKjIJUBrmnfQx3\nJLJnZiVMO3furHNMqVTCw8PDquNviYiIqPmTyWTw9/fHhQsX6sz9kQty3KdsjT03NrDV6rVQSBTI\n0mZDW6xFsFcwpILp5bmbwsiRI/H999/fdsKk1+uxYcMG/Pjjj1aKrC6J0gFyT08gP8/ouCCX18xb\namDpcyKqYVa2k5SUhICAAKMvT09PlJWVYcCAAdaOkYiIiJq5hobltVXWLPygh4hM7QVUi9XI0V6C\ntkSLUK92tgzTLEOHDkVaWhoqKytv632HDx+Gk5MTOnXqZKXI6idVO0Pu5Q2JY80QPHkrTyj8Azlv\nichMDfYwHT9+HOnp6Th79iy++uqrOkPysrKyUFhYaNUAiYiIqPmr3by2Pp7yVgiUByC7KgfpZcfh\nKHFENaqhLdagk09HG0faOC8vL0RERGDr1q0YOXKk2e/bsGEDRo0a1SSr0Umd1JA6qW1+X6KWoMGE\nqbKyEgcOHEB1dTU+//zzOucdHBwwbdo0qwVHRERELUNDCZODoESE0wPILsrBqcrT8LqxKl5ViRbt\nPNvYMkyzPfnkk/jss8/MTpj0ej3Wr1+PTZs2WTkyIrK0BhOm7t27o3v37pg8eTJWrVplq5iIiIio\nhfHz88O5c+fqPaeUKNFV1RkpRamoEqux9/p+6Kv00Gv1cHexz9V4R40ahZdffhk5OTkICAhotPz+\n/fvh7OyMLl262CA6IrIkk3OYSktLDf9etmwZSktLTX4RERERNcTX1xdXrlyp95xUkMJV6oKOjmEA\nAK2ohbZEAydXNeQSRb3vaWpOTk4YNWoUVq9ebVb5NWvWYPz48dwclqgZMtnDFB0djd9//x0AEBkZ\nWe8vuCiKEAQBp0+ftl6ERERE1Oz5+PggNzfX5HmlRIme6iicqTgLtVSNMDECv7v/algC2x5NmTIF\niYmJeP311yGTmY5To9Hgu+++w2+//WbD6IjIUkz+dt88BO/LL7/kExEiIiK6Yw31MAGAUqjZj+nN\ngDcghRTHLhyDq5srZObtgNIkunfvjqCgIKxduxZPPPGEyXIpKSno3LkzWrdubcPoiMhSTH4KRUZG\nGv798MMP2yQYIiIiapm8vb2Rn58PnU4HaT17/yglNUtcywU5AKC4qBhu7u52/8B2zpw5ePbZZzFu\n3Lh6e5lEUcTixYvxwgsvNEF0RGQJJhOm4cOHm/0h9d///tdiAREREVHLI5fL4erqioKCAnh7e9c5\nrxQUEADUbmBScq0YHh4eNo3xTvTr1w++vr746quvMGnSpDrn9+zZg6tXr2LMmDFNEB3dSw4cOIAl\nS5bg+vXr0Ov1GDduHJ566qk7upZOp8OKFSvw4YcfYvHixYiNjbVssM2MyYRp4MCBtoyDiIiIWrja\neUz1JUyCIMBB4oAKfc1msMVFxfB0b2XrEG+bIAhYunQp4uLiMGDAgDrD7hYsWIA33nij3l41IkvJ\ny8vDc889hw8//BBRUVHIysrCsGHD8MADDyA8PPy2r/fPf/4TQUFBzeKhhS2YTJhs3XVcXFyMt956\nC9u2bcOBAweMfkB79+7Fe++9h4qKCjg6OuK1115D7969bRofERER3Z3aeUymltZWS9WGhKmkqBhe\nHl62DO+OdevWDa+88gomTJiA7du3Q6msGV74wQcf4OLFi5g4cWITR0gtnVQqxaJFixAVFQUAaN26\nNdq1a4ezZ8/eUcI0depUREZGYvfu3ZYOtVkyayalKIpYu3Ytdu3ahatXrwKo+dCLiYmxSBdzcXEx\nxowZg4SEhDrn8vPzMW3aNKxcuRLdunVDeno6pkyZgrS0NLRqZf9PnoiIiKhGYyvlOUlUyBcEiKKI\n0qJSBLRufH8je/H6668jPT0dDz/8MN5++22cPn0ay5Ytw759+6BQ2OfS6HTnOnfujJMnT1r9Pvff\nfz9OnDjRaDkPDw/ExMQYXmdlZeHcuXOIiIi4o/vevJYBNbAP083mzZuHf//73wgICMCjjz6KIUOG\nwNfXF4sXL8b8+fMtEsj7779f727ZqampaN++Pbp16wYACA8PR2hoKHbs2GGR+xIREZFtNLZSnkSQ\nwEmiAgCUFpXC3d0+N62tj1QqxX/+8x8899xzWLJkCU6cOIEff/wRISEhTR0aWcGJEycgiqLVv8xJ\nlm515coVPPvss5gyZQrat29vhe/+3mNWD9MPP/yAtWvXokOHDkbHx40bh3HjxmH27Nl3FYSrqytc\nXV2RnZ1d51xGRkadD5uQkBCTu4UTERGRfWqshwkAXKUucJAoUVZc1qwSJqBmPtPUqVMxderUpg6F\n7lEnT57Ec889h/Hjx5v8f7hmzRqsWbMGABATE4NXX33VliE2S2YlTI6OjmjTpk2d423btoVKpTLr\nRikpKZg3b16d487Ozg32FpWXlxvGAtdSKpWoqKgw675ERERkH3x9fRsdxqSUKKGEEkXXippdwkTU\nlE6ePImpU6firbfewuDBg02WmzBhAiZMmGDDyJo/sxKmKVOmYPny5UhKSoJcXrM/QlVVFT766KN6\nl9CsT0JCQr1zlBqjUqlQVlZmdKyiogIuLi63fS0iIiJqOj4+Pg0OybvZtWvXmDARmUmj0eCll15q\nNFmiO2NWwrR9+3acOXMGa9asQUBAAHQ6naFLPTg4GCkpKYaylt6TKTQ0tM41//77byQmJlr0PkRE\nRGRdvr6+jQ7Jq8WEich827dvR05ODpYuXYqlS5cajickJGf6IGYAABx/SURBVODFF1+8rWtdunQJ\n//jHPwAAubm5WLBgAZKTk+/pnimzEqYePXqgR48e1o6lXjExMfjXv/6FAwcOICoqCvv27UNWVhb3\niSIiImpm2MNEZB1DhgzBkCFDLHItf39/bNu2zSLXainMSpisvSfTtm3bkJycjOrqagBAYmIiJBIJ\nFi1ahK5du2L58uVYuHAhysvLoVar8cEHH8DNzc2qMREREZFleXl5obCwEDqdrsGNXKuqqqDRaKBW\nq20YHRFR/cxKmHQ6HXbt2oXMzExoNBqjc4Ig4Pnnn7+rIGJjYxEbG2vyfFRUFDZu3HhX9yAiIqKm\nJZPJ4O7ujry8PPj6+posd+3aNbi5uUEQBBtGR0RUP7MSpldeeQU7duxAYGAgHB0djc5ZImEiIiKi\ne0Pt0uKNJUwcjkdE9sKshGnv3r34/vvvERYWZu14iIiIqAXz9vZGXl5eg2UKCgrQqlUrG0VERNQw\niTmFfH19ERQUZO1YiIiIqIXz8vLC1atXGyxTWFgIDw8PG0VERNQws3qYZs2ahTfffBPjx4+Ht7c3\nJBLjPMvf398qwREREVHLwh4mImpuzEqYcnJysHv3bmzdutXouCiKEAQBp0+ftkpwRERE1LJ4e3s3\n2sPEhImI7IlZCdOSJUswYcIE9OvXr86iD0RERETm8vLywtGjRxsswyF5ZO8qM8/b5D4O97WxyX2o\nYWbNYRIEAUlJSQgPD0eHDh3qfBERERGZgz1MRNbRv39/m244W1ZWhkcffRQHDhyw6HXfeOMNzJs3\nD5cuXcLAgQORmZlp0evfCbMSpsmTJ2PNmjXWjoWIiIhaOC8vL85hImoB5s+fj549eyIqKsoq1/f3\n98fLL7+MadOmQa/XW+Ue5jJrSN7Bgwdx4sQJfPzxx/Uu+vDf//7XKsERERFRy2JODxOH5BFZ1oUL\nFzBv3jxkZ2dDIpGgV69eeO2117BixQpcvXoV8+fPBwBMmzYNmZmZ2LhxIwBg1apVOHHiBJYuXWp0\nvXPnziEtLQ07duwwHFu3bh1Wr16NqqoquLu7Y86cOejcuTOys7MRExODJUuWYNWqVbhy5Qp69OiB\nhQsXQhAEHDlyBHPmzIFWq0WnTp0giiJUKhUAID4+HitWrMDWrVsxZMgQG9VWXWYlTOHh4QgPD7d2\nLERERNTCsYeJyLZEUcS0adMwYMAArFq1CuXl5ZgwYQLWrFmD6OhozJw501DuxIkTcHR0RFFREdzc\n3HDo0CHExsbWueaWLVsQFRVl2GA6NTUVy5cvx/r16xEQEICNGzciKSnJkFDp9XqcOnUKGzZsQGFh\nIfr164dRo0YhMjIS06dPx9SpU5GYmIg///wTo0ePxmOPPQagZlpQbGwsNm/ebP8J0wsvvGDy3M8/\n/2yxYIiIiKhlc3NzQ3l5OTQaDZRKZb1lCgoK2MNEZCE5OTk4ffq0YXqNSqXCY489hm3btuGJJ55A\nQUEB8vLyUFBQgKCgIAQHB+PIkSPo168fjh49auh9utnRo0fRv39/w+tt27Zh2LBhCAgIAAAMHz4c\n//d//4djx47B29sbAAxJkIeHB/z8/HDp0iVcuHABOTk5GDZsGACgffv2iIiIMLpXREQEPvvsM8tX\nzG0wK2G6VW5uLjZs2IDvvvsOeXl5+OOPPywdFxEREbVAgiDAy8sL+fn5hj+ublVYWMgeJiILyc/P\nh1KphJOTk+GYu7s78vPzIZPJ8Mgjj+Dw4cO4evUqHn74YQQGBuLQoUPw9vZGYGCgIeG52a0PNUpK\nSnDw4EHs3r3bcEwqlaKwsNDwfhcXF8M5mUwGvV6PoqIiKBQKo1W4b31Y4unpidLSUlRWVsLBweHu\nK+QOmJ0w6fV67Nq1C+vXr8e+ffsQGBiIsWPHYuTIkdaMj4iIiFoYLy8vXL16td6ESaPRQKvVQq1W\nN0FkRC2Pl5cXNBoNSktLDb9XhYWF8PLyAgBER0fj119/xZUrV/DMM8/A398fn376Kby8vNCrVy+z\n7uHj44NOnTrh1VdfrXMuOzvb5PtcXFyg1Wqh1WqhUCgAAHl5eXB1db3db9OqGl0l7+LFi1i6dCl6\n9+6NmTNnwsfHBzKZDJ9++imefvppPgEiIiKi2+Lt7W1yHlPtk2tBEGwcFVHL5O/vj06dOmH16tUA\ngNLSUmzYsAGDBg0CAPTs2RNHjx7FyZMn0aVLF/j4+KCiogK7du0ymTC1atUKhYWFhtexsbFISUkx\nLOhy8eJFJCUlobKyssHYgoOD4e3tjc2bNwMAzp49i99//92oTH5+PtRqdZP1LgGN9DA99dRTOHLk\nCKKiojBjxgzExMRAoVAYvikiIiKi21Xbw1QfDsej5sBeN5RdsGABkpOTDa+DgoKwcuVKJCcnY+7c\nuYiLiwMAxMTEIDEx0VBGo9Ggffv2kMlqUoOIiAikpqbWmU9Uq1u3bkhPTze87t27NyZPnoxJkyZB\nr9dDLpfj2WefbTTJkclkWLRoEebOnYsVK1YgLCzMEGOt9PR0REZG3n5lWFCDCdPBgwcRFxeHcePG\n4aGHHrJVTERERNSCNdbDxISJ6Pbt2rXL5LnWrVtj1apVJs+npaUZvX733Xfx7rvvmiw/ZMgQJCYm\nGlbTA4Dx48dj/PjxdcoGBgbi7NmzRse2bNli+HdUVJTJDXdFUURqaiqefvppk7HYQoND8rZs2YJW\nrVrh+eefx4ABA/D+++/j4sWL7CYnIiKiO9ZQDxNXyCOyf6GhoYiJiWkwCbOE1NRUiKKI+Ph4q96n\nMQ0mTO3atcPs2bPx888/44UXXsD+/fsxaNAgVFRUYOfOnY2OSyQiIiK6VUOb13JIHlHzMHv2bPz0\n0084dOiQVa5/+fJlLF68GMuWLYNE0uiyC1Zl1ip5SqUSI0aMwIgRI3Du3Dl88803+PDDD/H+++8j\nISEBc+fOtXacRERE1EJwSB5R86dWq626roGfnx+2b99utevfjttO10JDQw29TrNmzcKff/5pjbiI\niIiohfL29kZubm695zgkj4jszR33b9X2Oq1bt86S8RAREVEL5+/vj0uXLtV7jkPyiMjeNO2AQCIi\nIrrn+Pr6Ijc3Fzqdrs45DskjInvDhImIiIhsSqFQwN3dvd55TBySR0T2hgkTERER2VxAQABycnLq\nHL906RL8/f2bICIiovqZtUoeERERkSX5+/sjJycH3bp1MxwTRRE5OTkICAhowsiIGne+MtMm92nj\ncJ9N7kMNYw8TERER2VxAQECdhR8KCwvh4OAAJyenJoqKqPnq378/tm3bVuf4kCFD8P333wMApk+f\nju+++67Ra73xxhuYN2+e2fcuKyvDo48+igMHDpgfsBlq47h06RIGDhyIzMxMi17fXHaRMOn1eiQn\nJyMuLg6DBw9GYmIiTpw4YTi/d+9eDB06FDExMRg6dCj27t3bhNESERHR3artYbpZdnY2AgMDmygi\nopZv0aJFeOyxxyx+3fnz56Nnz56Iioqy+LWBms+Ll19+GdOmTYNer7fKPRpiFwnT119/jZ07d+Kb\nb75BamoqBgwYgFdffRUAkJ+fj2nTpmHOnDnYvn075s6di5dffhkFBQVNHDURERHdqfrmMHE4HpF1\nTZw4EatWrQIA/PXXXxg6dCj69euHZ555Bu+99x6eeeYZQ1mtVos33ngDgwYNQv/+/XHkyJF6r3nu\n3DmkpaVh6tSphmPr1q1DXFwcBg4ciNGjRxs6QrKzs9GxY0f8+OOPGDVqFHr27Inp06dDFEUAwJEj\nR5CQkICYmBi89NJLKC8vN1wzPj4eOp0OW7dutXi9NMYuEqYHHngACxcuhIuLC4CaLsXMzExotVqk\npqaiffv2hjHO4eHhCA0NxY4dO5oyZCIiIroL9e3FxB4mItuZNWsWevbsid27d+P111/Ht99+a3R+\nz549ePHFF5GWlobY2FgsW7as3uts2bIFUVFRcHd3BwCkpqZi+fLl+PTTT7Fjxw6MHz8eSUlJhp4h\nvV6PU6dOYcOGDdi0aRNSU1Nx+PBh6PV6TJ8+HRMnTsT27dvx/PPPY8+ePYb7CIKA2NhYbN682Uo1\nYppdJExdu3ZFp06dDK/T0tLQpUsXKBQKZGRkICQkxKh8SEgIzp07Z+swiYiIyEJM9TAxYSK6cwsW\nLEBsbKzRV33zfiorK3Hs2DGMGDECANCuXTv06tXLqMzDDz9s6PHt3LkzLl++XO89jx49ioiICMPr\nbdu2YdiwYYb3Dh8+HOXl5Th27JihTO2wQA8PD/j5+eHSpUu4cOECcnJyMGzYMABA+/btja4LABER\nESZ7uqzJZqvkpaSk1Dt5zNnZ2ai3aOvWrfjiiy/w5ZdfAgDKy8uhVCqN3qNUKlFRUWHdgImIiMhq\n6lv0ITs7G4888kgTRUTU/M2aNQuxsbFGx4YMGVKnXHFxMQAYeoUAwM/Pz6hDonbkFwBIJBKTc4du\n3TutpKQEBw8exO7duw3HpFIpCgsL4e3tXefaMpkMer0eRUVFUCgUcHR0NJy7dU82T09PlJaWorKy\nEg4ODvXGYw02S5gSEhKQkJDQYJmPP/4Ya9euxRdffIEOHToAAFQqFcrKyozKVVRUGFU0ERERNS+t\nWrVCWVkZKioqDH8gsYeJyDbUajUAoLS0FJ6engCA3Nxci1zbx8cHnTp1MqxHcLPs7GyT73NxcYFW\nq4VWq4VCoQAA5OXlwdXV1SJx3Q27GJIHAMnJyfjxxx/x7bffomPHjobjoaGhyMjIMCr7999/Iyws\nzNYhEhERkYUIgmAYilMrOzubiz4Q2YCTkxM6dOiATZs2Aaj52/rnn3++o2u1atUKhYWFhtexsbFI\nSUnB1atXAQAXL15EUlISKisrG7xOcHAwvL29DXOUzp49i99//92oTH5+PtRqtU17lwA72bh23759\n2LRpE7777jujrkEAiImJwb/+9S8cOHAAUVFR2LdvH7KysjBw4MAmipaIiIgsoXbhh7Zt2wJgD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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Time domain visualization\n", "conditions = OrderedDict()\n", "conditions['Low (end)'] = [3]\n", "conditions['High (end)'] = [4]\n", "\n", "fig, ax = utils.plot_conditions(epochs, conditions=conditions, \n", " ci=97.5, n_boot=1000, title='',\n", " diff_waveform=(1, 2), ylim=(-25, 18))" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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9urVBBXf4Dkr2fWj/j2bNbOH06fa8+yusSWZXX22Wl2erP/jAVrdu7U3Pq1DB\n+dXMHXZj7rCRvGDQ/vfwwzZgwAALBoP2oLtPSm61amZhQ49yN2+29W3beutbLdmf5Yw3b6j8nUBN\nsp/kDC0o6bHWrl7d9vTo4cxfoYLZO+/YunXrbMqUKbZ/xw6zFSts6/z5dkKLFt4yt912W7G/yj/0\n0EMmOTtpz5o1y8zMcnJy8odObN1qXw4dai9KdrdkIzp39oY75H70kdfmjwYMsNGjR3tDqwpXamqq\nrZg40RlKIdlPV19tDz/8sM2cOdP2799vZmYrfvrJXjvtNLstELC2YcuOHTvWa+8VV1xR7PovDnv+\nQjvTj1N+D1Vx4/rrSvaaZOvkjK8PP+rWjWHrWzR0qN18881Wo0aNAsuPOO8827lwodm8eWbvvWeZ\nzz1n/9enj52m/F+T69ata6++8orZaac562vUyGz/fvvll1+K7rhsZunp6RH/LB1JxUm2/YQTnN6K\nqlWtg/v+Dj2H+08/3Y6rWNH+617Pkmzhs88WeOxTp061dm3bWlc5vYCFe7HCKzQcsl69enb77bfb\nbbfdZg0aNCh23osuusgbLhdu8eLFNmbMGPvwmmvM3B7R/c2b27Dq1a2vZN/26WMWdsSs5XJ6TU6R\ns99EaEjj9BLaWEWy78Keg8K1V86BIELz91F+r8JLxazvAsl+cJd7TbK6gYA3ZOnxxx83uc9baP0r\nR470Lg9t3rzI+t5xb1sn2csdO3o7Zs+tVeuQO2XPUv7/saRDzCvJmjVrVmTonZnZV199ZampqVZJ\nsk/DnpdWh/HeS0hIsDZt2ljNmjUtUbLT5ewDVtxjaNeunX388cdm69ZZ9u2323b3gAQmp+e0q2Rv\nv/22mTnDXWvXqmVNDqMtFPUbrIg3gKIiWoFAwLp06WLn9+ljN8bH2w1yNjALz3eyZFlhh+n16rLL\nzHJz7cknn/QOI/n0n/5kZ0jWMD7eOnbsaCNHjrSxY8fa7TfdZNvd8w886643XvKGnDwUDNp5551n\nd9xxh1133XXWsmVLk2SpUoHzE4TXX+UckSbUnnQ5IaTwl+i/wuaZfuGFdvHFF3tjyU8++WTbsWOH\nmZmtX7/ezjzzTHvggQe8L/v333/fjjvuOHv99de9aZMmTbIZM2Z410eMGGGS7N577/Wmvfjii3br\nrbd6QWHTpk3WpUsXe175GwyNw9oY2hdlrFvjJNsROkpZq1ZmxWx4h8yZM8cbajZ8+HDLzc01M7OX\nitlPJ7zE9eyXAAAgAElEQVRCw1V+kayL5O0P8s8jfD+9HPY8j5Gz8/4A9/UubghaeG2Us89NdRU8\nN8kN9etbxYoVTXI2mrp162a33HKL/fe//7XXX3+92HHxsVBjwx//O+9Y7969rW3btpYzfnyxz88N\ncj6vXbt2taFDh5a4o3pJdbhHoevcubO99957tmzZMps2bZpdeOGFBY6Q9mSPHpZXwlH0Dlbb5OzL\nU9L9Jkp2k5wN/Xcke6t5c8sZM6ZAqHlMzr5U29zrPyh/CNfB6qyzzvI+M23atLHQ/6BlhduZlmZZ\nWVn22Wef2YIFC2zlypW2bds2WzRpkmWHfohxa0/Dht5Qx4NVK+X/r7q1FPN3kuzhlBTL+P3vzXr2\ntNwePWzVSSfZ0/Hx9qCcYBdqQ+Ej8ZVHJSYmegfB+L2c/xkm9wSMdeo4P7Dk5tqW0083k7OPTaQ/\nYxQVpRXxBlBUzNQIyXLDNzb++Efb+euvNnLkyALzHWwj5wbl/4rbXAV/dTz+CNokOcEo/Fj8Jmef\nhmvk/BIcfrSkx0pYR/fu3YvdR2HatGmWmJhoknNIzbfeeqvIPOPHj/fWEwgEbNKkSUXmWb58uTVt\n2tQkZ+M6dJ6B2XI2mvpLtlTFb6xtl+y600+3yZMn2/Tp0+2ZZ56xiy66yAYMGGATJ0707iMzM9M7\nOpKZ2ZdffulttJdUDVX00KO75Rw56Ehei0Q5O9cX9zgKV46cfVRWK388fuGadoTtiIUK7bfyywUX\nmJnZjh07nIMr5OXZr9de6/2ib3J60I72/srj/Dt/697dcsN6O61VK/tm8GA7JRCw3nJ2zg7fsF+i\nw/uFPlRDhw4127zZOWpUoffItsNYZ+hEgLNmzSowvZfye2V+SUiwTYVOGFjASy85vaeSHTjxRDv5\nIPujFK7H3fvYKSeYFzfPcOXvk3WoypGzj0sk3r+tlB9A1kl215lnOr3g7rTwo61RFFWgIt4Aioqp\nOl6y22vWtCcvucRGjRpl9erVKzLPwTZyKsr5ojI5R8zZ7l5+8yjaFKozlH+IzOLqbRU8L0bh6tq1\nq7fxnpOTY4888ogXPEIVFxdn48aNs40bN9rq1att1KhRRdYTHx9v48ePt3379llOTo699tpr3tGb\nQnXBQdr5nWQL5Jz87T8qemjPwnXWWWfZpk2bCmwfzZs3z9uJ+FA1QPlHJDMd/a+oVSV7tdBj+krO\nr7195RydqroK9k41lXOm+N1hy8yUSvWLcqzWUDnBuE/nzl5PVcigQYOspZwN0TZldH/ldfLPhg0b\n2hNjx9rEBx+08847r9h5WrmP40gPQy3Jbr75ZrOsLLNbb7UDbg/qfDlHzwqfr2/fvnb33XfbqFGj\nrHLlyt70nj17es9vce1sIuf8OHUlq1Kliv3xj3+0+++/326//XYbNWqUjRgxwsaPH2/vvPOOLZoz\nx968+25rfJiHA66l/JMXPlPotipy/g9aWK2Ws/P8P+Sc4PR5OYH8Eznn9CjpZKN+VRcV/Mx69Yc/\n2J+uuiqibaOoKK6IN4Cijrk61EZO+Pk8TPm9IGV1/x3kjP8OnXAvR84vjomlWDYQCFjTpk1LveF+\nsIqLiytwro7C9ddCz8MCHfnGRHJysl155ZX2j3/8o8jwmNJUc8kuP4r7L67qSNZDsuMOY5lqcoJZ\nbx3dhmqs1WWXXWYbNmywvXv32qWXXlou91Fe4cPP8o4QdeCA3XLllQVuCwaD9sILLxQIcRs3brSz\nzjrLkpOTvX2yFi5cWOpz/pRHjVH+Zz50Fvn2cvZbC03/n2Sdo+D5Lk31kROSQm1/TLKUsNBHUVSR\ningDKOqYq9Js5IyVEwq2S3Z+ObWjlpyTAxa3D0u0VCs550LpK84i/FuvQCBgSUlJ5bb+YyF8xMXF\neSfCzM3NtUGDBpnkBI9XX33VCx3r1q0r9uAEubm5duqpp0b0MSRI9qWcDfUDck7gGfqhJEuRG0Z1\nNJUk56ACqVHQFoqKgYp4AyjqmKvSbuTUU8EzcVMUVX51LIQPyTlHxtdff21mZnv37rW77rrLCyRm\nZo888ogFAgFr1qyZzZkzp0D4uP766yPefskZ4rVKBXs+18r5sSTSbaMoqnwrXgAiZlOkGwAg5uzd\nu1dnnXWW5s6dq8aNG2vcuHHebY8++qj+8pe/SJJWrlyp3r17Ky0tTW3atFF6eroWLVoUqWYXsFpS\nR0k3SWoqaaGkZyXtiWCbAPiD8AEAQIzZtGmTunbtqgceeEADBw7U7t27NWHCBL344osF5jMzzZw5\nUzNnzoxQS0u2U9LtkW4EAN8RPgAAiEFbt27VyJEjI90MADgswUg3AAAAAMBvA+EDAAAAgC8IHwAA\nAAB8QfgAAAAA4AvCBwAAAABfED4AAAAA+ILwAQAAAMAXhA8AAAAAviB8AAAAAPAF4QMAAACALwgf\nAAAAAHxB+AAAAADgC8IHAAAAAF8QPgAAAAD4gvABAAAAwBeEDwAAAAC+IHwAAAAA8AXhAwAAAIAv\nCB8AAAAAfEH4AAAAAOALwgcAAAAAXxA+AAAAAPiC8AEAAADAF4QPAAAAAL4gfAAAAADwBeEDAAAA\ngC8IHwAAAAB8QfgAAAAA4AvCBwAAAABfED4AAAAA+ILwAQAAAMAXhA8AAAAAviB8AAAAAPAF4QMA\nAACALwgfAAAAAHxB+AAAAADgC8IHAAAAAF8QPgAAAAD4gvABAAAAwBeEDwAAAAC+IHwAAAAA8AXh\nAwAAAIAvCB8AAAAAfEH4AAAAAOALwgcAAAAAXxA+AAAAAPiC8AEAAADAF4QPAAAAAL4gfAAAAADw\nBeEDAAAAgC8IHwAAAAB8QfgAAAAA4AvCBwAAAABfED4AAAAA+ILwAQAAAMAXhA8AAAAAviB8AAAA\nAPAF4QMAAACALwgfAAAAAHxB+AAAAADgC8IHAAAAAF8QPgAAAAD4gvABAAAAwBeEDwAAAAC+IHwA\nAAAA8AXhAwAAAIAvCB8AAAAAfEH4AAAAAOALwgcAAAAAXxA+AAAAAPiC8AEAAADAF4QPAAAAAL4g\nfAAAAADwBeEDAAAAgC8IHwAAAAB8QfgAAAAA4AvCBwAAAABfED4AAAAA+ILwAQAAAMAXhA8AAAAA\nviB8AAAAAPAF4QMAAACALwgfAAAAAHxB+AAAAADgC8IHAAAAAF8QPgAAAAD4gvABAAAAwBeEDwAA\nAAC+IHwAAAAA8AXhAwAAAIAvCB8AAAAAfEH4AAAAAOALwgcAAAAAXxA+AAAAAPiC8AEAAADAF4QP\nAAAAAL4gfAAAAADwBeEDAAAAgC8IHwAAAAB8QfgAAAAA4AvCBwAAAABfED4AAAAA+ILwAQAAAMAX\nhA8AAAAAviB8AAAAAPAF4QMAAACALwgfAAAAAHwRJ+muSDcCOBatWbMm0k0AUAifSwCIrIAki3Qj\nAAAAABz7GHYFAAAAwBeEDwAAAAC+IHwAAAAA8AXhAwAAAIAvCB8AAAAAfEH4AAAAAOALwgcAAAAA\nXxA+AAAAAPiC8AEAAADAF4QPAAAAAL4gfOCQ+vbtG+kmAAB8xv9+AOWB8IFDSktLi3QTAAA+438/\ngPJA+AAAAADgC8IHAAAAAF8QPgAAAAD4gvABAAAAwBeEDwAAAAC+IHwAAAAA8AXhAwAAAIAvCB8A\nAAAAfEH4AAAAAOALwgcAAAAAXxA+AAAAAPiC8AEAAADAF4QPAAAAAL4gfABADLtN0k5J/SLdEAAA\nSoHwAQAH0bdv30g3oUTxkv4hqaqkeyPcFgAASoPwAQAHkZaWFukmlKhP2OVAxFoBAEDpET4AIEad\nF3b5QMRaAQBA6RE+ACBGdQ67XC9irQAAoPQIHwAQo1LCLteNWCsAACg9wgcAxKiqhS4nR6ohAACU\nEuEDAGJUSqHrDL0CAEQ7wgcAxKCgpMqFpjH0CgAQ7QgfABCDqhQzjZ4PAEC0I3wAQAyqWsw0wgcA\nINoRPgAgBoWHj9XuX4ZdAQCiHeEDAGJQePhY6/4tbigWAADRhPABADEoFD7yJG1yLxM+AADRjvAB\nADEoFD52S9rlXiZ8AACiHeEDAGJQ6Bwfu+QEEInwAQCIfoQPAIhBoZ6PXZL2uJcLn/cDAIBoQ/gA\ngBgUHj7o+QAAxArCBwDEIMIHACAWET4AIAYRPgAAsYjwAQAxKBQ+dop9PgAAsYPwAQAxqLiej0RJ\nCZFpDgAApUL4AIAYFH6ej91h0xl6BQCIZoQPAIhBFd2/+0T4AADEDsIHAMSgUPg4oPx9PiT2+wAA\nRDfCBwDEoCT3737R8wEAiB2EDwCIQaHwUbjng/ABAIhmhA8AiEHh4SNP0l73OuEDABDNCB8AEINC\n+3zsd/9yrg8AQCwgfABAjAlKquBePrlHD0mc5RwAEBsIHwAQYxLDLt91330655xzCB8AgJhA+ACA\nGNO6ceP8K0lJOu+887xhV4QPAEA0I3wAQIwZ0KtX/pWKFdWxY0cvfFSKSIsAACgdwgcAxJi+p5yS\nfyUpSa1bt9b+QECSlByhNgEAUBqEDwCIMe2OPz7/SlKSKlSooIRq1STR8wEAiG6EDwCIIfHx8Uqt\nUcO7visrS5JUqXZtSfR8AACiG+EDAGJIkyZNFJ+T411ftGKFJKlynTqS6PkAAEQ3wgcAxJDmzZtL\nBw5419du2SJJSqxZUxI9HwCA6Eb4AIAY0qJFC2m/c17zbEkbt26VJCXXqiWJng8AQHQjfABADAnv\n+dgvaePGjZIYdgUAiA2EDwCIIeHh44CkTZs2SZKq1q0riWFXAIDoRvgAgBjStGlTb9jVAeX3fFSi\n5wMAEAMIHwAQQxo2bFig5yMUPlTJiR30fAAAohnhAwBiRNWqVVW5cuUC+3yEhl0p2YkdFSTFR6Z5\nAAAcEuEDAGJE/fr1nQthw652796tPXv2eD0fEr0fAIDoRfgAgBjRoEED50LYsCvJHXqVnB852O8D\nABCtCB8AECNC4WPvr79Kyg8fmzZtoucDABATCB8AECNCw672bd8uydnnQ5K2bdtGzwcAICYQPgAg\nRoR6PvYX6vn49ddf6fkAAMQEwgcAxIhQ+MjctUtSfvjYvn07PR8AgJhA+ACAGBEadpXtho/QsKvt\n27dL8fHKS0iQRM8HACB6ET4AIEaEej5y9+yRVGjYleT1ftDzAQCIVoQPAIgBiYmJqlWrliQpL+w8\nH5Lb8yEpULmyJHo+AADRi/ABADHAO8GgVOQ8H174oOcDABDlCB8AEAO8EwxKCmZlSSoaPkJHvKLn\nAwAQrQgfABADQj0fO3bsUEJeniQpy72NfT4AALGC8AEAMSDU87F+/XpVcKdlun+98OH2fBA+AADR\nivABADEgFD42bNigRHdaKHxkZ2dr165dXs8Hw64AANGK8AEAMSA07Gr9+vVFwodU8Czn9HwAAKIV\n4QMAYkBxPR9ZYbeHn+Wcng8AQLQifABADGjYsKGk4vf5kNzwQc8HACDKET4AIMolJCSobt26kqS1\na9YUO+xqx44d9HwAAKIe4QMAolxqaqqCQeff9ea1a73pRcIHPR8AgChH+ACAKNeoUSPv8i/r13uX\nw/f5CA8f9HzgWNdCUm9JlSPdEACHjfABAFEutL/Hjh07lLlnjze9pGFX9HzgWHaKpB8lzZb0eYTb\nAuDwET4AIMqFej7Wrl3r7e8hFQwfGRkZ9HzgN+Ey5W+8nCipXQTbAuDwET4AIMqFej7WrVtXYvig\n5wO/BfGSzi80bWAkGgLgiBE+ACDKlabnI3yfj4qSAr61DvBPX0m13Msz3b9nRKgtAI4M4QMAolx4\nz0eFsOlFdjhPzh9wxdArHIu6u3+XSnrGvdxDUlxkmgPgCBA+ACDKHW7Ph0T4wLGpk/t3oaTv3csV\nJDWJSGsAHAnCBwBEscqVK6t69eqSSr/Ph8R+Hzg2hYePFZJy3esnRKY5AI4A4QMAolhoyJVEzwd+\n26pJaupe/kZStqRV7vWWEWkRgCNB+ACAKBYKH3l5edqwYYO3z0ee8n/1laQDBw4oMy5/5Ds9HziW\nVKtWTVd37epdf2f1ai1dulR7U1MlET6AWEL4AIAoFgofmzdvVnZ2ttfzkVnMvBlZ+bug0/OBY0Eg\nENDf/vY3bd68WROGDnUmNm6sKo0bq1WrVuowZIgkhl0BsYTwAQBRLLSz+bp16yTpoOFjx759UtD5\nt07PB44FN954o+69914lJibKFi6UJK2sVk1XX321fvzxR6ml0+dBzwcQOwgfiFknSJoh6VNJKRFu\nC1BeQj0fa9eulXSI8LFzp7ffB+EDsa5Jkya6++67JUlvvfWWfnzjDUnSxO++07PPPqvBgwdLzZtL\nkhpIBfaHAhC9CB+ISdUkzZE0QFI/SeMj2xyg3BTu+Qjt85FVzLzhR7xi2BVi3ejRo5WcnKwtW7bo\nz5ddppZ5eZKcnc0lacmSJVr4yy/e/KkRaCOAw0f4QEwaqfyz3ErSKHGcdxybDmvYVdgRr+j5QCwL\nBoO6+OKLJUnPP/+8Gu3c6Z1I8Juw+V7++GPvctP4eP8aCOCIET4QcwJywoYkvSJpp5yz2/aPWIuA\n8hEMBtW4cWNJ0qpVzkFFDxk+6PnAMSAtLU3169eXJE2aNMk7v8cWSRvD5ntrxgypalVJUu+mTQUg\n+hE+EHO6KH/nwkclfeFe7h2Z5gDlJjU1VRUqOAOtSh0+6PnAMeCMM86QJH377bf68ccfvfDxTaH5\nNmzYoKzjjpMkneKGFQDRjfCBmDPI/btCzlluP3OvEz5wrGka9ktuKHywzwd+C/r16ydJmjFjhiSV\nGD4k6ZdEJ5K3rlLFh5YBOFqED8SMChUqKDExUee419+RlJKSouXur17HS6oXqcYB5aBZs2aSpG3b\ntmn37t2S6PnAsa969erq2LGjJGnmzJmKl3Sie1tx4WOle36b+mYKBAK+tBHAkSN8IOolJyfrtdde\n065du7Tnu+/Uzp3e87779Msvv+j/Vq2Suec26HCY6+4i6UZJVcuwvUBZCfV8hHo9pIOHj4yMDC98\n0POBWNWnTx8Fg0Hl5OTos88+U2vlv+8XFjP/DxkZkqSELVt0/PHH+9VMAEeI8IGoFgwGNXXqVF10\n0UVKTExU/LRpzg01auiUG29UQkKCVLGiAk2aSJLaxsWVuK7CWkuaKelBSV+LXhNEn8MNH+HDruj5\nQKzq0aOHJOmbb77Rnj171NmdvkvSymLm/277dufC+vVejwmA6EX4QFQbPny4Tj/9dEnShAkT9MO9\n90qS1nXooMn//a8uvvhiXXHFFTL3LLcD3WEqpfGC8jfQmkv6Wxm2GygLoWFXK1fmb3Idcp8Pt+cj\npYwPO9pMTkh/TZxPAeWra9eukqR58+ZJktLc6V9IsmLmX+ue/0ObN+vkE08sZg4A0YSDYiNqxcfH\na9y4cZKcs9s+dNttusm97YaZMzV15kxv3r8NGqTjJZ2UXLrBJqmSeriXv5R0ipxzh4yVtLssGg+U\ngaPp+agaHy/l5JRZW8ZIOsmthuIADygfwWBQnTs7fR3z58+X5JxIVpI+LWEZ79C7ZuriHpoaQPSi\n5wNRa+DAgd743TvvvFMXyUnLeyV9VGjej9askSRV37rVOynbwfze/btX0mA5G3JVJF1YFg0HykBi\nYqJ3noPDCh9uz0flYNn9e4+T8zkJ6SWpRpmtHcjXunVrVa5cWZITPprLCbuSM0y2OJvCLneoU6cc\nWwegLBA+ELVCZ7dNT0/X4sWLNdKdPkXSnkLzTv3hB+fCpk0alJZ2yHWf7v6dKWmDpHfd64OLnx3w\nXRN3Pyap+GFXxYWPnTt3ej0flcuwLWmSCm/S9SrD9QMhp5xyiiQnSC9btkxnuNN3qvgjXUnSNkk5\n7lGuamVnq1atWuXdTABHgfCBqFS5cmUNGuSc0eO1115TD0knu7e9XMz8i0NjfiWd1aLFIdcf6saf\n7v6d6v7tL6naYbcWKHuhIVd5eXlau3atNz3U81HcPh+ZmZnKSkiQJFUsw7aEgsYPkha4lxl2hfIQ\n2t9jwYIFMjPvR6e3JeWWsIzJOfO5JGnTJrVv3748mwjgKBE+EJXOPfdcJScnKysrS1MmT9b97vRv\nJaUXM/8WSZnuDranHKLbvZ6k2u7lL92/0+T8kpwg6ayjazpQJkLhY926dcrOzvamH2zYlSTtc/9W\nDAvkR6u1+/d75Z/Us0+ZrR3IFwof8+fPVyfln1zwpUMst9HcXdEJH0DUI3wgKg0fPlyS9OGHH+qK\njAzvl9dbVfzRTiRpnRs+qmVkqHXr1iXMlX8ukDxJi9zLuyV97F4+/4hbDZSd0JGuwvf3kA4dPna7\noSMxt6TfiQ9fG/fvUknz3ctty2ztgKNixYpecJg/f77Gu9OXSZp9iGW9/T42biR8AFGO8IGoU6dO\nHQ0YMECStOjBBzXBnf66iu5oHm7pgQPOhVWrvOPEFyd0IMblyv+VWJLecv+eruJP0BapExFWkDRE\n0t8lXSuJY7n8NhR3pCvp4Pt8SNJuN3QkhvWWHI04SS3dy0vlbAhKzmGq65bJPQCOTp06Kd79ESll\n9mxvf487SrGsFz42bVK7du0ONusR6y/pXkkXi40n4Gjw+UHUGTp0qOLj47VnyRKN+uwzBeXsaHj5\nIZbzNtFWrVL37t1LnC8UPr4rNP1dOWOKK0o6M2x6CznHl9/p3oefw03Oce/z/+R8AT8m6Uc5IQTH\ntlD4CN/ZXDp0z8cuN3wEwuY9qnaErWeppBVhtzUvg/UDIaGdzTcsWqT7duyQ5Azze7MUyxYOHwF3\nB/Sy0kfSh3LOBzVJ0t1lunbgt4XwgagzfPhwyUy7hg1TdUnbJZ0raf8hlgsPH926dStxvtCwq+8L\nTd8m6RP38jXu34aSZkkKRZkmcnZ8PPQu7UfvDve+UuWEoq8lZUhKkhNC/uJDGxA5hxp2VdwO55K0\nIyv/lrI4y3loAGO2nN7CnZJ+caf58TnAb0fv3s5hDPbdeKNS5fRMH+pHp5Dw8FG5cuUCR4s7Wkly\net4TwqbdLqnkb5kjV61aNd1222164okn1KVLl3K4ByDyCB+IKs2bN3eCw7vvKnWRs0fGNZLWHnwx\nSWHhY80atW3dWikpKUXmCR9CsqjIrdKj7t++cg67+4Gcjf/dcoY9bZNUXdIjYcv06tVLt99+uwYO\nHKhgGZ1b4a/u/UnSHEmtJHWWE34+dKc/KKlrmdwbok21atVUrZpz3LXD3ecjo5ThI1lOwE2XNPAg\n84XCx3I5ASR0WaLnA2WrV69e0qJFOn7GDEnSPcof5ncoofBhW7ZIeXllut/HCDnfAzlyfrxa7E5/\nrEmTg/ayH67ExER99NFH+sfAgbrmjTc0b98+PdShw6EXBGKQUcd+nXTSSXbffffZ6NGjrWLFioe1\n7Lhx43xr50MPPWSWl2dZ7dubSfbpYSzbQTIL1bp1dtpppxWZp1nYPG2KWUdAskXh65EsW7LfubcP\nCZveU7J//OMfFu7jjz+2GjVqHNVz0EeyHPc+3pGsQqHbK0q22L19sWRxh7n+OMlaS5bi02sa6+Xn\n+z9UnTp18t5TdevWLXDbeve1/2MJyz4xZoz3Hj3hIPcxQfnv5WUHmW+iO8/UsGmvuNPejILXhzqy\nSk5OtqefftoyMjJs165d9txzz9lxxx1XYB4/3/utWrVy3vAXX2wm2QrJEg9j+c4K+7+9ZYuNHTu2\nTNoVkOxnd72vuNMe7djRuZ+4OLN16+zxxx+3YDB41Pd13333mS1ebFa1aoHvoD9VqhTx9wtFlXFF\nvAFUOdcZZ5xh+/fv9zZmPvnkE0tMTCz18n59AVWqVMkyMjLMPv7Y+6fb5zCWr6qwL5/Zs+3OO+8s\nMs/v3dtzVfIXWxvJNrrzZUn2h7DbApItdG/7onZt7znNzs72Ln/11VdWpUqVI3oOEiX7yV3/d5Il\nlzBf17DHOvIw1p8i2Tfucgcku8iH17WkqlGjht1///02e/ZsGzFiRMTacaiKRPgYPHiwmZnt27ev\nyG2/uK/fxSUse9c113jvjZMOch8LVDBkdy9hvnnu7ePDpt3pTvs6Cl4f6vArMTHR5s6da4Vt377d\nLr30UgsEAib5+96/6qqrzNats7z4eDPJrjrM5esr7P387bf2xhtvHHKZeB064PQNW28HyWrXrm27\nt241q1HDme7+AHX//fcf1eOvXr267d692+zUU80k2xcIWF7t2s7lypWtSoTeK9Ulq1OK+bp06WJX\nXXWVDRo0yOLi4iLSViqmKuINoMqxqlatalu3bi3yJfPPf/6z1Ovw6wso1IuQM3iwmWTzj2Ad2+V+\nUfz73zZt2rQit//ZvX3VIdZTV7Kh7t/Ctw1315EXDJqtWWNffvmlJSQk2GWXXWa5ublmZjZz5kxL\nSko67Pbf6K47R7JOh5j3TXfelSp978eTKrjBaZKd4cNrW7gSExNtwYIFBd6T9957r+/tKE1FInyM\nGTPGzMyWLFlS5LZd7ut2QQnLXjNypPfa9iphnirK710L1ZMlzLvTvX142LTQZyAjCl4f6vDrmWee\nMTOz3NxcmzBhgt1yyy3ODz+un3/+2e644w579NFHfWvTe++9Z3bLLWaSbZPTw3s4y8fL+VHJJLMP\nPrBFixYddP4hkm2VbItkpxxkvonuOr9yrz/yyCNmZnbgyiudz0DdumZ5eWZmdskllxzx4x87dqzZ\n1197n8fzJPv7lVeaJSaaSfZUoV6p8q7akv1HTs+/STZbshrFzFenTh2bMWNGgf/lS5YssSZNmvja\nXirmKuINoMqxxo8f7/2C2rhxY7v//vvNzCwzM9NatGhRqnXcdccddpFk0+QEggkq/p/Q0VTPnj0t\nMzPTbPNmywkGzSS7/AjW85XcL5+77rLt27d7v+CF6jH39ulH0dZEyXa4v879f3t3HhdVvf4B/DPs\nILiBZriQiuJuKC65paXmrlk3bdPc7eYvtxara2rd2+ItLS3L3cxMzcxUNC3LpbymZiaaIi6ZiZYi\nCD1G9vIAACAASURBVIKyPr8/vuecOTMMAwgOA33er9fzGuZs852FmfOc7yYvvSTt27c31o0ePdr4\nAl65cmWhjusHyAWtfB8WYPtGsJ449inA9jVh/XFeAsgh7e8EQMKK6X2sUqWKdO3aVWrXru10u//+\n9782V1v1E6HOnTsX6+eqOKIkko/3339fREQ2bdqUa1269r71zWPff2jJu0DV9Dnaprvps/OOdvur\ng+3MV5PNtSgdTctL6oos4+bi8ccfN/73pk+fbiwPDQ2VL7/80uYkMicnR/79738bTYoCAXkFkP8B\nshLOm/UVJsqXLy/pCQkiFSuKAPLqTR7nIrTP5ZIlkpmZKT4+Pg63qw/b5DsZkFoOtisHSIq2zTit\nnGlpaSIi8oEpyd+nJXPXr1+X1q1bG/t7QX3vWvIpt8VikTNnzog8/LAIIMcB8QDE29tbEoYNEwEk\nvUKFQjVDK0rcD5WUiV3s0Z6Tvl3z5s3l7NmzxuflypUrxt+nT5+W4ODgEv+8M9w2SrwAjEJGZGSk\nTJ48WXr16pXr5NocQUFBcvXqVZurygEBAXLu3LkCnxyHAvJbrVq5voRiUHx9BkaMGCHJycnqRPS5\n50SgrraWu4ljfaaXcehQERGJiIiwWb9FW/9eEct8rF8/1SyrcmXxtlv34osvGl/A48aNK/Ax9VqZ\nTOSfDNxxxx0SFRUlOy0WEUA2FeD4T8N6tdpHewy9pmg/bJsf+Pr6ysSJE+Xo0aOSlpYme/bskaio\nKKfHnz59uty4ccN47kuXLpWAgACHZU9PTzc+lz4+PnLw4EERETl27Jh4e3sXy+equKIkko8tW7aI\niMjcuXNzrRMtuuexb9euXUX8/UUAeSCPduivasc4DNumiPaJRFfT45mbAIaZljvqO8Vwz2jXrp3R\nBPerr75y2E8hMjJS3n33Xblw4YLxv/zmm29KJVibbOqRCOe1BgWNxx9/XGTuXHWSDcc1zgUJo3xa\nLXqzZs0cbvdf5D6xXupgu6HaunRAggEZOXKkiIjcuHFDKlaoIHHa+nl+fnLq1CkRETl//ryEh4fL\nvVC10gLIeUC6OSl3ly5dRM6cUX1IABllWjfs3ntFtAtyc1q0uGWfjQpQvxHHTa9JsrbsWdOysdr2\nAwcOlGvXrhkXNx999FEBIN26dTMStOXLl5f4Z57htlHiBWAUMo4ePap+EU6elJg335QmeXRwfvrp\np42rMVWqVDGWjxgxwrjSbH9ybo66gPwG65fOJkA+gPWK0ZoiPo9KlSrJV199ZfzAnT93Tn7z9lZf\n5jd5zJla2TLbtRMRkbFjx9qsP6mtH1+EcgcFBcn1o0dFtBP/hxxs89lnn4mISEZGhtx11135HtMH\nkN9hrZXw8/OTiIgIqV69uk2C2bhxY1m7dq3xmiXMm2ecON6Wz2N8B9tOkwCkp+n9/RDqStuYMWNs\nrmbp0tPTpXv37g6PPXfu3Fzbi4hs2bJFvLy8bLb9+OOPRUQkPj7eSE4iIyONJmtPPvmkS/6PChol\nkXwcP35cREQmTZqU63Oiv19357FvVFSUSEiICCBjHCR/AGQtrCdcwaZjdrbb7v/guJmiuYlLXrUr\njFsTU6ZMkZkzZ0r9+vWdbhccHCwTJkyQOXPmyPTp0+Xdd9+V1NRUERE5deqUhISEON3fx8dHDh06\npP6Rk5IkVusEnQXV5FPve3QOkJAiPB8vLy+J/fVXkfDwPJOAgsZmrUzpWg20fkJsDm+o5lYCyAxA\nnoI1+W5it+132rq12v1du3aJiMiaNWsEgEzT1scD0qxRI+MiWsru3XJdSyT0uIG8/2eXL18u8vTT\nIlC1N/Y1HH927Kh+15o1k0YNGxb7Z+pBqETSXN7tgNQ2bfOxtvwiIP9+4QXjO/7cuXPSsmVLm+ON\nGzfOWH/fffflerxq1arJwoULZe/evTJt2rRC9UFllJko8QIwChmjhw2TKw8+aJz85nh6yjN2V4s9\nPDyMKzGLFi2yWeft7S2//fab0ysTlWAd4SPDy0seMK3Tv6wFquPzzTyHkJAQaxIlIp9//rkM0qrc\nBapj380c90lt/9SQEBERWbdunfV5w5o49SzC6//oo4+q5K1HDxE4HpErKChIYmNjtRzxpMMaAHOM\ngrWvx/qZM21qEK5evSq7d++WvXv35j67T0uTnHLl1Immk+NXNj33++3WzTC9n5fGjzcOnZmZKQsX\nLpRRo0bJyZMnRUQkOTk519XECRMmGPusWLFCgoODZerUqcayjz76yNj2zjvvNJaPHj3a5jh6U6NX\nX321RP+/7MPVyYfFYjHe/wEDBth+rkzvVV4dxMPDw0XCwkQAeSmPE0x90IR/afdPafeftdtunrZ8\ns4Nj6KNujcqjHIzijxDte01EXX0fOHCgw+0iIyPlzz//tH5PxMaK/Pe/IkuWyB+//+70opM5Xnnl\nFflpwwaRqCjjBF3v+9MYkFTtM/AV8m9a5CiqVq0q8+bNE1m3zvhcNyvC67NYO8blzp1FROSNN97I\ntU17WP+H7oD6XdAvSm0wbdfYtF1fqGZpur59+woACTdt0xOQTp06yZ9nzojUq6dqDipUkGEeHsZv\n6R/I3WS5fPnyknrunEhAgPqfdfC8Hg4NtSYx27fLJ598IsOHD5eKFSsW+TM11PQc0rTX0NFAFWGw\nNvkUrd/L//73P6lWrZqUg2pNsAGqL42HxSJ79uwREZHffvtNAgMDjePcdtttxvmHbtmyZSXy/8Qo\nufAClTqtly5FJdN9S3Y2/pudjU59+uCnli0BAA0aNDAmKUtPT8e0adNsjhETE4OwsDA8+uijSExM\nxJUrV4x1HtnZeHzFCtT+7Tdke3jg6H//iyZJSWiiP15ODv768ENUvXQJH9erh5WPPFKo8lssFjz2\n2GOoW7cusrOzsXHjRhw+fBivhoQASUk4V6MGBowYgQGFfmWA8Lg4YOVK+CckABkZ6NmzJ2bMmIGc\nnByEXL4Mz/ffBwD0GDcOrYODb+IRgIcffhgAcKFvX1T/6it0ATBn3Dgk2B3v22+/Rd26dVG3bl18\n88032Lp1q8PjeWRn4//eew9ISgIGDUL/Z5+1WV++fHk1/r0mMTERO3fuREJCAh599FH49e4NrFmD\n52rXRrUhQxw+RoekJHi++y7E0xNvHzyIu7/7DomJiQAAL09PXNm2DZW//x4h776LnJAQHOnXz3iM\n0NBQbNiwASNHjkRQUBB2796NRYsWITk5GfXr18fgwYMBAMeOHcOFQ4fwTY0aqPn++7j400+otmQJ\nhgwZgjp16uC7777DsGHDABFce/tt/HvdOrwVGIjYiAjs6tQJly5dwpIlS7Br166bel/KitDQUPj6\nqtk88prjA8h7no+kpCSgShUAQGVfx3Oc19Fu9bnT92vL7Kc00+f4OObgGL8DqA6gVh7loOJ3+fJl\njB49GjNmzMDtt9+O1atXo2vXrti5c6exTVhYGL7++msEBwfj+vXriFm2DFETJsBDm//lM19fxKbn\n9elRggD0A9Bv7VrUnz4dyMkBLBYsa9MGn+zdC0DNdfEkgI8A3AfgRQD/KcBz8PHxwZNPPolRo0ah\ncePGQFYW0KwZAOAb5J78tTD0uT4yz50DAIdzfbTXbs8A+E37+yUAqwD0BdARalb1ydq60wCiAYwd\noH6RkpOTsW3bNgBqvpvd2j5TAbTbtQsbmzTBiNRUwNMTQdu2oV98PB74xz+wNysL1QEshJpDSjdo\n0CAELFsGpKUhFcAHDp7Xp/HxmBEQgHppafB9/3088vnneOSRRzBr1ixMnDgRS5cuLdDr88ADD6Bz\n5844fvw4Fi1ahDvT07FQW7dXK1e8g/1q1qyJyc8+C48DB4Dly4G33sIib2+MmzQJ3unp2AOgmbZt\nXwBDRTBy5Ej8/PPPCAsLw8yZM/HPf/4Tfn5+WL9+PcLCwnDjxg2cOHECzZo1w9ChQ7F161Z8+umn\nBXoeVPpZoLIQKkUOAGgJ4E0AlmeewXO//AJ8/TVueHjgzpwcxAL44Ycf0K5dO3zzzTfo1q1brmP4\n+Pjg1KlTqFGjBpYsWYIRI6zzyH4IYIz291AAtadNw4wZM2z2HwT1ZZ0DYN4zz+BISgpWrlyJlJSU\nfMs/fvx4vPOOmqZv6NChWL58OZrC+qPzDwBrC/5y2IgAcFy/ExcHhIejS5cu2LFjB/oA2Ag1UZS/\ndltYlSpVwsWLF+Hj44MhjzyC1z/9FNWhJvx71sH2M2bMwMsvv4ycnBx07NgRe/bsybXNMABL9Dsx\nMfiralVMmzYNX3/9NYKCgtCsWTM0a9YM2dnZ2LNnD6Kjo5GVpUo/YcIEzL7rLmDQIGQDqAI1C7pZ\ngwYNENOnD7zeegto0QL46SdcvXoVkydPxqVLlzBz5kxEhIUBAwcCW7YAAF4A8IbdcSIjI7Fr1y4E\nBgbi+PHj2LBhA8aPHw9fX18cOnQI97Rvjx1pacaPEAAk3X47Kh46BFStipycHHhYLMBTTwEf2P7E\npgBYDnXysAzAeafvgmtNc/D5v5U6dOiA3bt3AwAqVKiA5ORkY10orK9NE1gnOzPz9vZGRvPmwIED\nWFK7NkbYJTCVASRof7cF8CPUidZbUCdjtU3bXgRwG4BRABbZPc5qAA9BnXw+UZgnSEU2YMAALFiw\nAFVu3EBqaio+jI5GSkoKPD09MWLECISGhuL69etYsWAB/jFtGipevWqz//LHHsPpunUdHrt+bCz6\nbdyIwNRUY1l2UBA8ly3D1Xvvxdy5c43vHwDo/+WXiDx0CDkWC1YPGoTYiIg8yx0QEIDBgwejVi1r\nyprz+uvwePFFAMCCkSMRX736Tb0mANB63z702rIFadWqIeDCBVy9ehWzZ8+22ebhTz9FxIkTONy0\nKdYNHAgAsIhg9IIFuP3iRZyrUQPbunfHE8uWwTMnB5t79MC+Nm2MiyhHjhzB2rXWX6g6p09jyMcf\nAwCuli+PCtr/6x9PPIEaWlJw4MABXJw+HX2iowEAG/r2xcEWLQAAo+6/H9U7dQKSk7G3dWt81dPx\nlJ/NDx3C/V9+CQA4+8UXCO3dG97eas71zZs3Y9++fU5fm65du9pcxLp05gy8WrVCpYQEXA4OxqIR\nI3DD399mn2rVqqFdu3Zo3LgxPD09gdhYSMOGsIhga/fu+F/btnjw88/R5KjtN1G6jw/eGzcOkb17\n45577gGgzkmqVq2KelWqACNHImvDBiRWqID0d95BjUcfRVJSEh566CF8rU0wSWVfiVe/MAoXFQFp\nqv3t6ekpB7ZuFdGqZQ95ecmj//iHUZ2pt9G3QM3psA1qQrENgHzQt69ITo5kZmYaw+LpnZ4FkDe0\nx3DU7MQHkGRtCEB5+WWtZj9WwsLCnJa9Ro0aRrtYc1Xrt9pjxqHwk+aZw9dU/rh580TE2rF+krY8\ntgjHHz58uNbaKU2CgoKMJkuXkHsyQEC1m46JiRERkePHj+cafrccIMmBgarMDz4oBw8ezDXRl7Pw\n8fGRv06eFNFG33LU/yQ6OlpEazO8t1Urh0MvZ2ZmymsvvyxfaU35BJDnHRyrV69ekpWVZbNvbGys\n1KhRQ/4Da9vpL6HmSBFArkREiOjzzMyYYdOHaDrUsJpiitlFeH9uRbi62ZU+GtHly5dzrattep3C\nnRwjq317EUA+d9AvwDwZWxVtWSfTMr39fiXTsvYOHkPvtFuYiUAZxRO+gGzRvzcAudyli1QrX17m\nz59v/F/26NFDpmjrM7T3XZ+zZXcex+0Ca9OaG4CcrFNHJgISVbeuMZfR5MmTbfbxhxq4QKD+95dD\nNe0Mtjt2/fr1JS4uzijf4oULZVb9+kZz0KXF8LoM1Mvu4WEMf2secckC6/fNWLt9zYMr6BGrPb/g\n4GDj+T/00EO5Hnez3X5fQ/WL0keXFBF5ePBgWa+tvwY1UEODiAiRIUNUU2FPT6fzaXjC2hl8JyC3\nV6kiO3bsEBHVt9C+34U5+vXrZ5Tjr7/+Ut/hI0canw3zsO4Wi0V69OiRa/jcP//8U6ZMmSLLtH6Z\nqVCjnunPeSJUv0N9EJOZUP15du/ebT1IRobRhE+PdECytL6f9p8tRpmOEi8Ao4hRr149ub5xo/HP\nnDNxooiIREdHC6BOIvRRnuzjxj33iJw+LZ9++qn0h+3M2nobXkcnX5GRkZKpdZDLDguTbO2ENC4u\nzukM3+vWrhU5flyu/PCD1K9USXwBedNUnn7F8Hqc1471UceOIqI6StesWVM+0JZHF+HY3333nYiI\nrF27VgDb4WsH57FPVFSUccJuHjffw2KRo+3aqefu4yN7Pv74piYnfO2110Tuvls9Z7vRa9q2bSuS\nni7i52eUMTQ0VDZu3Gh08N63b58xkpWv3WdlPlSyaz7mgAED5MCBA3Lx4kVZvHixhISESCgg12H9\n0QFUIqQf52hIiBxo29a4v8r0+QqBmsDugPbe3Gx/n1sVrk4+pk2bJiIi+/fvz7Wugek1dTQ0qB7X\nu3RRJ0GNGuVap78vKaZlgbB+jvX+UO1Mj+VoaG29M7qz2dEZjqMN1AATP0Kd8Bd2//fg4Pu8d28R\n7XvmlVdekcqAJGnr5mj73WfavrPdMSvAOlTtcaj+EObPvp7YJCQk5OprUAPWfkTm2FeunEyqWFFG\nDRqkhtROT5f0zZtlU0SE0c9IoEapymtC1cJEW9Mxs7SLLL179zbW1zOtb+pg/7dN65Nh7fugj3KV\nlpYm5RzMNu4PNVDIOaj5cvSRID08PIyT+CtXrkjjqlWNCWyTADlvGknyeScjV+rR31S+RYBUDgiQ\nEydOiIhITExMrsE9AJUA6ANY7Nq1S7y8vGRW8+bW5/nCCzJkyBBp3bq1TJo0yeiraL64NGbMGOPC\nWVWY5tPSYoXp8aZry65qr0NgYKB88cUXIiJy4+WXjX3mAcZoYWmBgSJ//CFXrlyRSpUqldj/JcOl\nUeIFYBRD3H///ZI1caLxj53w1ltSu3ZtaQHYfMlvhupUutu0THx9RZo1M+4fhjoZ0Y9tf/Ll4eEh\nBw4cEDl40Njn/1q1MjrJ7tixw+Fwqa+0aiVSo4bDJEigxo0vjtfiB+14M729jXHHf/vtN4lv1Eg9\n1oQJcuLECRk0aJDD/S0Wi9SsWTPXD2yjRo2ML+Q+ffoYyzch/yvAr7/+urHv22+/LQM7d5b4++4z\nnnvMQw/lOSZ9fhEWFibZr78uAkiin59Nx8+VK1eK7N1rPE5N07rKlStLtWrVch3PF5CNpvflGiDr\nARkONReJozK8q2172e6zMwW53+fvkP+swu4Urk4+li1bJiLWEXXM0dz0Ojob3SxJ+2z92LhxrnX6\ne/KLaVlQUJAc0Za/rC0bqd2/mMdjDID1CvnNdDb+u0YNWEeKEkDSvbykS3h4gfdvY9r3PUA2tmhh\n/f+aNk0WLVokHh4e8hasJ9FVTPv/CMffV/r/cBrUSIeA7Wf/9ttvN4ZW/eCDD3KVK8BikVUdO0p6\nixbGkLFG+PqKhIdLjtap2hxrUXzzRoWajnts1SoRsZ289EFt3XXkXcPeE6pWxDzc77Zt20RE5LPP\nPit8mUJDjd+h6OhoaYPctb1HGjcu8P/QXNN+ZwGZeccdItpv7/jx43Ntr49uKSIS1by5vAhrrXRm\nx45Gwmpv9+7d0r9/f4fDMTeCmhcoESrZMtf6h8A6EMFzpuXhvr6Spi3XJzStC+skpllt24pkZOT5\nu8woc1HiBWAUU7Rv1Uou1K5tfDGdgvVq5g2ok0fz9g/DNCmTFmerVZPh3bvL+PHjZdKkSdKyZctc\nJ19jxoxR3045OXJWm0/gHUAee+wx44vro48+shkidpSPT55JhwDyEZBrvoybjRWwJjN9+/Y1rvAb\niY82qpKIGr/e5jVs314OHz4sImoo4sWLFxtJyMKFC0VE5MyZMzZfyH1Nz6N+HmXy9PRUM/jm5Iis\nWSNy223GPiebNhXPAlz1chY75swxjnentiw0NFQyMjJE3n5bBOqqXEGP5wE16so1u/fpPHJfMTXX\nekxxcKzhUKPJJEP9cAYW4PHdKVydfOzcuVNEHI/U08r0XtjXSJnjQt++6gTMwbCc87X910NNCqlf\nmY1p2VIE1prBD7Xtvs7jMVqYypLfMM8Ma+jNE82R/sADEhoaWqD99SY+h2E9gV6ljRSYDXWC3QbW\n5lMv2+3fx/S4HbRld8Ja620ebcn+s/+CaYjVwYMHG8ubNm1qOxpfSooawWrgQBEH3/2/APIaijay\nlaPwgPXEeqM23O7OnTuN9a9o6w4U4pghISFOm1wVJMy/jRMmTJAwQH7p2lWkXz9Jmz1bQgoxapUn\nVE2xMZs7IH/WqSOSmChJSUlStWpV67aenkZTt6/efFN+Mu1zBJCWtWtLdHS08fwuX74sixcvlsjI\nyCK9D3qCFA/rhaaPtGV/AVLetO1AU5ni2rSRSuXLF+tnguG2UeIFYBRjVIRdrQZUu9VWTrZ/pkIF\nuTJqlMjq1aqJjp1ff/3VOAEPDg42ZqReuXKlzTjnHrDOqC4i8sknn0hAQIC08faWLK1PQnZUlDwY\nFia1AGkJNVHaHcX8GugTqP1Pu9+rVy/Z8MknxusxrX17+eabb4xyzps3T3x8fGTs2LHqZN1OXFyc\nLFiwwLhvP/eCJ9SJvQAyy0m5Anx95eBddxnlyPbzk4+aNxePYnjOPXv0EKleXQSQd7U+I6+88oqI\niKRrJ6Krb+K4IVAzzX8BNfmhaLfmJmb6D419rUdZCVcnH/okoGPGjMm1rgOs/9f+To5x8v77RQD5\n3UGfj2ht/7mALF682PhcZ8+fLwJ1JdILaiJRgRqKOa/Phl6WKDd4nwob9evXl+HDh8uoUaPynUCz\nuMICNWeKACLPPSfy4Yfqb4tFts6bl+/+5n44D5qW+wKyD7bf+wI1XLqjyVr1JlJboS76/Gja3nwV\n2/6z7+npaQyhmp2dLWvWrJE1a9bYfG9+/PHH0qBBA/H29pbQ0FDp0KiRDCtXTp6GuuBV4xa/xr9p\nz2VxVJSIqKZSeq2y3udiSSGON2rUKBERSU1NddjkqqBhnp/pyJEjxt8vvfTSTR0vAqp/jf5eZ3bo\nIKJdMNO3MZKe1aslw9Sf733YfleXK1dOQkJCnE5aXJioDWsyOxW2/WmecrD966b1fW/x54PhNlHi\nBWAUc3hC/QNPhWrfXZAahdDQUFm2bJmkpKRIRkaGnDhxwjgJEhE5ffq0DBs2zJhkKTk5WUJDQyUC\n1i+NLlBNlj788ENjv8SEBMlo1UptU6eOTBk16pY//+HI3VzE3Mm2GlQ72BUrVuRKNERUx/CePXvK\ns88+a8zErdu3b5/DdrVTYW3ikNcV6TmmMuz09raZwKmo4eHhIVcfekglgnXrir+/vxrnPydHUoKC\nRKBmqi3KY9SHqmoXqB+Wx6FqQfQrcI5qPcpCuDL58PHxMWrqunXrlmv9vbB+hpwNzHBw4EARQBK0\ngSTMoc8C/ZKHh3EhQfsnN47dy/Q4ec2kDsBoRjHQDd6ngoaXl5csWbIk1//9999/n+/EfUUN8xwT\ncuiQfPvVV5Ko1R7LxIn5DtjhCchCqMTRvplOVVj/PwWqSYyjfg2A6hCub5ds+tt+Fm5Hn/0qVarI\nTz/9lOv1O3XqlHTt2rXE399d2nOZW66cUbYePXoIYJ1xfEIhjleUJlfmKFeuXK65mrZs2SKenp5F\nOq7ePFIAkVmzRESkTZs24ufnpyaL3bpVcrQZ0k8jd831rQrz750e+5D399Z0bX1x/i4y3DpKvAAM\nN44nn3zSqJI1GzlypLGNfhVtgXbfYrHI888/r66GLV9ufPEse+QRl5S5C6xfdnonxqHa/Sum7Tw8\nPGTWrFnWZlmiJjs0d3iLioqS7du3S3JysmzYsEFq1qzp8DGDYW3n+i8H658wlekDoFhqO+zjo379\nRKAmnTysJYmZsbHFenU6GI47lh5G6erHUZhwZfJRr14947MY7qAfgJ4UZOVznO0DBogAkuqgKY8+\nu/PMxo2Nx5o9e7aIiGTdcYdRayhQiWV5J48Ti8KfzJV0mGsxr1y5IhcvXjTuX7582emoQUWN97XX\nSxo3ltRr16R27doyQzsxlAoVZOrEiUU6vg/UJIBPwrafh31YYDtSkcA6UIQ58vrs+/v7y7hx42TD\nhg3yxRdfyNixY8Xf37/E31sA8on2fFYA8uOPP4qI6qNS3vRc7yngsWrWrGkMFnKzTa7MERAQIM8+\n+6ysW7dOnnnmmWJ7zfQmTdn+/iK//y7nzp1TzYcvXpQcrYnvYRRtJvrCRiCsExUL1G9vQzf4fDDc\nJkq8AAw3jw8++MBoh56UlCRPPfWUzfpnAKO5hrkqNyI0VJK0DoZf38QoTjcbd8D6hddIW6aPqOVo\niMl69erJI488UuSmF7NNr4N5yMRWUH1uBGom4FuReACQsIoVJUfv6PnZZyIisrl/fxGokVW8iulx\nKsH2xCUekCYuem9LIuxPwCpCtVcfV4yP4QXVFyO2fHmR8+clOzvb4QAEeifv1HyOt7p3bxFAMuza\nkvuY3rfPn3xSRNSoWg0bNlRn36NH25yQHnJWZi8vOVu/vgggp/r3L/IVXFdE48aNjYsNb7/9tlHm\nnj17yuXLl0VEDSlat27dYn9sL0CStGFK5T//keeee04A1V8mS/u/PXeTTXBuJoKghreNgfoOd3RF\n2tVNDosj3oBWuwxrH5X4+HjpYGp2VNCTcL0Z8aVLl8TX17fEn1teUQnWiwpZ2hD6kp0t0qOHCNTI\nds6G5r5VURGQF6EGRgh1g9eJ4VZR4gVguHnoP0CVKlVyOPJFFVhPrs1jp+s/Atfh2qpUT1g7W+rN\nQfTRm+bfwscNgWrqIFAjuFigmnjp/UFOQv1I3MrnflAf+3/4cNm4caOs035w192C17g7VBvustjP\nwxzmE7CKsB097h/F9BjLTMeU55+Xs2fPOtxuEHLX4DmKud26qVowu1Hn7jA9zoGPPzZOwgFIYn8R\n+gAAIABJREFUfHy8yM8/2yQfjzp5jIkTJ4o88YTa9oEHZMaMGSX+XuUXn376qYiInDx5MlfzycaN\nG0tiYqKIiJw4cUKqVKlSrI/9mjb3igByNDra5vG36QNQNGggd9SoUeKvkx6lMfl4SnuNzwASERFh\n1Got0EYFiy/gcQICAlTTVXE8+IO7xROw/t/+/tRTcuXxx437Q9ygfAyGXZR4ARhuHgX5AfoY6kvu\nFFRH2IawJgCvlECZ92uP/R/tvt7Wd/wtflz9h0+gagf0Md2vwTW1A/owqvEWi3hBnaQKck+oxSh4\nmD//E0zvr0Bdbcxr+OGCRj27Y8ptt8nOb75xuO0Q5O7P5CheMp3omstn7nOQ/McfIiLy2GOPCQCj\nD9SRUaNEoAYZyOv4FotFzS+gj9vfqpVcv3692MfoHwrVhn8LnI/uVZDw8/OT1NRUrYJntMNt7r77\nbmPI8GPHjkkjB/OkOIsAQMZA9c3R+2RUq1ZN1q1bJ/LwwyKA3GjVSmrVqmWzXxvT0LSftGlTrK9h\ncX32S0voow9mQNUyR0dHq9qLBx80ap8Lcpznn39eRNQ8Ufbvl7vGOuRuErvUDcrFYDiIEi8Aw82j\nID9ATWAdDWkH1ARaot0Wx+RRhQ19mNCtUE2gRIubmdCrsLEEtl/+qVDDW7rieTcxPe7Hpr/rlMB7\nUFbC/PnXR4Dabnpt7y3i8f+L3CcM2/Jo+z9KW382n2M+ceedxrFqm9qVGxMMWizGFeEmTZoIABk7\ndqyIiFy8eFHC4LyZXpcuXdTOixapGpbbbhMRkXHjxhXb617f7jVZWMTj9e7dW0TUKE3OajUGDhxo\nM9BETEyM7N69W7Zv3y5btmyRtWvXyrBhw3I1i/OBGpZYL+/ngHTu1EnN8ZCSIqI1QX0pj0lYf7/n\nHvXeFHONS3F99ktLmL8Da0MNny4iItqEro76tthHhQoVjLk55s6dW+LPqaBRAdbR7ASq/0txNbdl\nMIo5SrwADDePgv4A6c2s9EiHutJaEmXWRwC5DNU0Ri+Ps+FJiyssUFeoN0GdMLm6P8Q2u/dhcwm9\nB6UhgoKCZOrUqdKzZ888t9E//+Y5Nu6C6sApUJ/7m318H1gnnJsOyHVtxuMteYwapNesncjnuPfW\nqWOUtfPttxvL9Zqb84GBIiJy/fp1o/lP69atjRPu2037OIo333xTNV+aN8/6WbtxQw4dOlRs742j\n0XIii3A8fYbuPXv25Lttly5d5PTp0+LMoUOHJCIiwtjnBQflTdeGu06dO9e4Gh+cx2NOGTFCpFcv\nuepgoriSitKYfPjCOsxrT23Ze3PmiGij/u0YOTLf/huvvvqqet9SUx1OxOru0QiQWm5QDgbDSZR4\nARhuHgX9AfKCmvwoDWoSqV4lWOZIWE8A9CtBjjqbl8WwGc4Tec/x8nePwMBA2bdvn3Ey+eKLLzrc\nTv/867Vpx7Tlb2v3fypCGQZrx8iCmn0+Q7v6vS2PIV8nadvH5HPc8MqVjff/cdMJsl7LcqZOHRFR\nnc31df7+/sbIPr1793Z6fH3I0KXPP2/9rJ08KSJSLKNF+cE68/G/YB01570iHPPUqVNO32f78PHx\nkd69e8sLL7wgr7zyirzxxhsya9YsWb9+vdFp/fLlyxIVFSWesNb2fgjI5pAQ9Zp4esqfK1bIOW2e\nozVOHi84OFgOHDgg8+fPv+Wf/YJGaUw+AEic9l5M1O7X115/AUR++UX27Nkj5fOYzK569erGTO7m\n2dEZDEaxRokXgOHmUdgfoFs1mlNhwhu5Z+d+1Q3K5aroDTVx0+ASevxbGRUrVpSxY8dKly5dijQp\n1pQpU2yuZGdmZjoc5WjatGniD+vJ8DPa8h6wfrZudiCBndr+GwGpWrWqyNixKlGuUMHh9vrV9fxm\naPbRh28FZEqLFsbyldqy3+++W0RElixZYrNfTEyMiIhMnTo1z2MHBgZaZ3zWRtUSQH5fvlxE1KSd\nRX2PO5le21BAntf+voKb62MTEhJivM+dOnUqcvnuvvtuY3Ss5ORkmdq8uVHex6KiJOn8eZGGDW2+\nf7JhHX2vtERpTT7sBxjRmxtmeHoaE+nu2rXL4Yhy+qAEly5dMibXZTAYxRseICpmOSVdAACZABbZ\nLfuqJApSQqIBvABgVUkX5BZ4Ydw4fNCgAb5t1Qq/zJyJGqGhN3WcIUOGAACWLl2K8+fPw8vLCy++\n+KLDbR8EUB5AFoCPtWV7TeubFeDxWgP4H4B4AIsBLAHQSVs3H0CDBg2AOnUAAFVSUhwew1e7zcjn\nsTJyciDlygEAqgUEGMura7f+9eoBAGJjY232O3jwIAAgMjIyz2O3a9cOXl5eAIDte/ciQVu+Z5X6\ntD322GOoXLlyPiV0rqN2exLq9VoOIBtAJQADbuJ4rVu3BgBkZ2fjp59+KlLZAGDnzp24++67ER8f\nj6CgIMxo0AAAcLFBAyzZswcVQkNx6cMPcUF7nQBgJoBfi/zIVBDHtNuG2m1b7XZ/djZGPPkkAKBj\nx46YOXOmzX6dO3fG4MGDAQAvvPACkpKSbn1hif6GvPLfhKh0ehPAaAD+AGYD+KFki0PFpNLChcCf\nfwIAmgI43aYNPnrkEfyhnWwXRGhoKBo2VKcmWVlZOHz4MKpXr46hQ4ciISEBqampxradO3fGE8uW\nAWfP4mREBMZqJycAcHX2bFRITsbz992Hzm3b2j+MIfDaNTw9Zw58MjMBAMNN645HRKDloEFoGRUF\npKcDAOp4eGDav/4FWCw2x7nnm2+AH37A7WFhmPbEE06fo8yfD0tqKu5p0QLT7r0XANBkzhwgMRGV\nmzQBANx5552YNm2asU/VqlUBAF26dLFZbnb33XcDAC5duoRx48YhY/584OJFhGZlISMjA0FBQVi/\nfj22b9/utHzOPLZiBXDqFFLuvBPT+vcHAJxauRL14+Lwn9q1EaEljgXVpUsXAMDly5fxzDPPoMGx\nY4j66Sd4ZWXhVN26+DkyEtcCA213EkGD2Fg0jYmBd2YmYpo0QUzTpjbvyZo1azB4wABUi44GAFR7\n+mnA2xuXL1/Gql9+QerkyYj8+WfEh4biRlgYHL+itnbs2IGdO3cW6vmRrePabQPtto12uxfAkiVL\nUK9ePUyZMgXjx4/Hzp078cUXX8DPzw/vvfceAGD//v1YsmSJi0tN9PdS4tUvDPeO0lr1DkA6AjIC\n7tEUjFE80QqQbwH5XetAKoBk+/jIhEI0wZoxY4aIiMTFxQkAKVeunCQlJTnsEzD3qaeMx+lrd5wN\n2vLF+Tye3j/kKiDvAHIcam6cjYBU1raZNWuWyIEDxmNVc3KcggwXmqrNVr7tvvuMZWna/rJ2rYiI\nNGzY0Gafjh07Gs2TgoODHR73yy+/VP09li4VALIe1r4Or732mtGE7Z133pFnnnmm0MPVesDaxG2Y\nafn9sDZhCivkZ2bLli0iIrJgwQIZZzqOHjegRqm7D6pp1BBADjrY7h0Hx+6v9SfIsVhkx6efyqRJ\nk6RcuXIu/Z+4VVFav/vbmN6zelBzTQlU8ytATZC5e/duEVET5/bv399obpWdnS2tW7cu8efAYJTx\nKPECMNw8SusPEKPsxxsdO4pUr26caKyGmrk5v/2+++47ERH54IMPjGXvvvuuyMGDkvDGG3KPaTLN\nYxERIlDD2+qzQPfr108++eQTOTFokOp07iTxCYQablkAmeqkTJs3bxZJSLAZUct+m/e0dV8W4Dkm\naOXe36uXAKpfin5s+d//JCsrK1eb96CgICP56JrHiFvnz58XEZGnnnpKAMhcWEdVq1ChgtFvRHfj\nxg3p3Llzgd/TCFM5G5iWe8M6i/O0Qn5O/vrrLxERmfzYY0ZfsEOALIJ1YtC8Ygcg35vuD7Q79iJt\n+feFLFNpiNL63e8FSJL2vqw1vXdhpm2qV68uFy9eFHv/+te/Srz8DMbfIEq8AAw3j9L6A8T4e8TC\nt94S0SYQE6ghcGs62d7X11euX78uIiIPP/ywsfy94GCbk84jUJPb6fcfA6Ry5cqyVqs1EBGRNWuM\nmpfKeYyeMwDWEa0qOynX6dOnRXJyJM3HRwRq9vhcz1U71mcFeF3ONmokAsipPn0EsJ3/QH7/XU6e\nPOlwv9jYWBERee6553Ktu/32242n3rZtWwEgz5peL0ANCPDee+/Jjh07jJP+y5cvi5+fX4Hez4Gw\n1kboyV54eLi0atVKZlssIoD8BuskfvlFtWrVjDJ/os0kngjrpIXlAPk/2NZ0ZEDV6HTQtvGESkIE\nalQrP9NyfajkSQUsT2mK0vzdvxq2SeR+B9tERESoyTJFJCsrS15//fUiDWLBYDAKHCVeAIabR2n+\nAWKU/fDz85NfDh0SmT1bcrSZouMBaZnH9h06dDBORkNDQwWwTt6XV2wDpHvXrsZVfxGR77//Xja9\n/baxzTdz5jh8PD1h2OXkOQQHBxvH/d3fXwTqhNh+u4+0Y60owOtyqEkTEUAStGZX92n75lgsIhkZ\nEh0d7XC/VatWiYjIqlWrcq3r27ev0azKX5u8cJB23GvInRCEh4cbw/cOHDiwQO/ny7DWTHh5ecn6\n9euN1yZp927j9X69UiWpCEiNfI7XvXt31ZwmPd1IFKblsW0g1NVxHwfr6kElJQI1+hagJi3Vy1O7\ngJ/X0hSl+bt/CGz/h8fksZ2Xl5c0adIk37ltGAxG8QVHuyKiUu3GjRsYNHgwUkeNgmXTJmT6++N2\nALsADHawvd5h+uTJk4iPj0d1AG9p6/bfdpvq9L13L7bWqoVtAHbccw+Ov/UWtn79NUJDQ5GWloYx\nY8agQ4cO6Dd5MjK0EY3uDQlBnz59cj1eL+022slzaKt1Vs/OzsZ5rdN5iIPt9NGu0p0cS3dBBAAQ\nqI2cpY90lVGpEuDtnWukK50+4lWLFi1yrYuKigIAHD16FNevXwdg7dxbDkANu+1PnjxpdJ4eNGhQ\nAUoNNNZujwB46aWX0F/rcA4AFTp0ALT7UxITkQjgHICjAOrmcbzmzZsDAM6vXm28pivy2PYagLNw\nPJpYHNSoZIAaSS4EwEjt/iEAZ5w9KXK59bB+Ni8C+DSP7bKysnDkyBFcuHDBNQUjIjD5IKJS7/jx\n4xg/fjzQowe89+5FQkAAAqBOODbBekILAJ06qQFud+3aBUCNilYeQAKAPn/+iR179gBt2iDq4EH8\n/MYbaLxqFf5v8mQAwIEDBxAZGYkFCxYAUMNK/5yVpQ78yy947bXXYDGNhtQAgD4Q8BYn5W/Xrh0A\nICYmBpdy1GDVwQ62K0zycTZDnUL7JCTA29vbSD4s1dVf+SUf9erVQ1BQkM06Pfk4cOCAsSwW1uG1\nGzk43iptCN4+ffrA19fXwRa29Pfqt4AAY+jjpUuXIjw8HDNmzMDR55+HaOXQNYJ6r70dHE9PPm58\nqk4/YwCcyrcUjs0AkAygAlTS84i2/P2bPB7dOslQn4tGUENhJ5dscYjITolXvzDcO0pz1Tvj7xWb\nNm1SzXOOHZOdWt8JgepvsQiQmp6ekpKSIiIiQ4YMkXbI3SwjIiJCrly5YtMJNSsrS1599VXx8vLK\n9Zjz9WP06CEiIj169DDWjdTWJcJ5H4Vvv/1WRETef/99WaLts8rBdpuR96hL9vGs3hG/fHkJCwsz\nZmgXrelUXp3AzU3AOnbsaLPuzz//FBGRsWPH2iw/qR17goPj1axZ0zheVFSU0zJ7w9q0ad5994mI\nyLVr1yQwMNBmO39vbxkZGSl/rFgh8sEHxnv4hINjHj58WPU7qVRJBJBXivgZmwzb5jynoDo4l/Rn\n/1YEv/sZDMatCNZ8EFGZMWrUKCQmJqJCgwa4vHIlHgZwGoAngBFQV70Dv/0WAPDjjh1YrO0XA+uk\nlLGxsWjVqhU2bdqEuLg4HDt2DHfddRemTp2KLL2Ww+QX7TZ9/34AwD//+U9jXXvtdg/UN64jwcHB\nuOuuu9R2e/YYk/Y5anbloz9WXi+Aya+JieqP5GTUqVYNtfUVYWEA8q75SEhIwNmzZwHYNr2qUaOG\nMQ+IueYDsE6e56jm49y5c7h06RIAoGXLlk7LXB/W2ouWQ4cCADZs2IBr167ZbHc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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "h = epochs['High (end)'].copy().crop(-0.1, 0.6).average()\n", "l = epochs['Low (end)'].copy().crop(-0.1, 0.6).average()\n", "\n", "plot_evoked_topo([l, h], show=False, color=['w', 'r']);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There is again a clear difference between the two conditions, although the ERP response is weaker than during the onset." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Oscillatory activity analysis\n", "\n", "Oscillatory activity in the beta and gamma bands is expected during the presentation of the gratings, and an alpha reset phenomenon is expected once the gratings have disappeared." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "480 events found\n", "Events id: [1 2 3 4]\n" ] } ], "source": [ "# Extract epochs covering a entire trial (~3 s)\n", "events = find_events(raw)\n", "event_id = {'Low': 1, 'High': 2}\n", "\n", "epochs = Epochs(raw, events=events, event_id=event_id, \n", " tmin=-0.1, tmax=3, baseline=None,\n", " reject={'eeg': 100e-6}, preload=True, \n", " verbose=False, picks=[0, 1, 2, 3, 4])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Power spectral density" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Effective window size : 4.016 (s)\n", "Effective window size : 4.016 (s)\n" ] }, { "data": { "image/png": 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qLlNGnhUsRDoyhj8b05Y/Q5TM9hVCWJ8Uw1/ibt5ly5alSzEZVuPGsG4dhuhY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5FbON5cDJOhd9cAPmUlViiirGywjo6EW7f0j9GOHXoIWAghhBAiAQn2/M2bN8/iPEuWLDRt2pSu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\nE0IIIYTIQ/4PEyTJD8J//8wAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from mne.time_frequency import psd_welch\n", "\n", "f, axs = plt.subplots(2, 1, figsize=(10, 10))\n", "psd1, freq1 = psd_welch(epochs['Low'], n_fft=1028, n_per_seg=256 * 3)\n", "psd2, freq2 = psd_welch(epochs['High'], n_fft=1028, n_per_seg=256 * 3)\n", "psd1 = 10 * np.log10(psd1)\n", "psd2 = 10 * np.log10(psd2)\n", "\n", "psd1_mean = psd1.mean(0)\n", "psd1_std = psd1.mean(0)\n", "\n", "psd2_mean = psd2.mean(0)\n", "psd2_std = psd2.mean(0)\n", "\n", "axs[0].plot(freq1, psd1_mean[[0, 3], :].mean(0), color='b', label='Low')\n", "axs[0].plot(freq2, psd2_mean[[0, 3], :].mean(0), color='r', label='High')\n", "\n", "axs[1].plot(freq1, psd1_mean[4, :], color='b', label='Low')\n", "axs[1].plot(freq2, psd2_mean[4, :], color='r', label='High')\n", "\n", "axs[0].set_title('TP9 and TP10')\n", "axs[1].set_title('POz')\n", "axs[0].set_ylabel('Power Spectral Density (dB)')\n", "axs[1].set_ylabel('Power Spectral Density (dB)')\n", "axs[0].set_xlim((10, 120))\n", "axs[1].set_xlim((10, 120))\n", "axs[0].set_ylim((-150, -110))\n", "axs[1].set_ylim((-150, -110))\n", "axs[1].set_xlabel('Frequency (Hz)')\n", "axs[0].legend()\n", "axs[1].legend()\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "While the spectrum at temporal electrodes does not show much, the spectrum at POz shows a clear difference in beta power (around 25 Hz) between the low and high spatial frequency conditions. However, a difference in gamma is not directly visible for this particular participant. (Please note that the two peaks at 60 and 67 Hz are environmental electrical noise.)\n", "\n", "Let's visualize this phenomenon with a Time-Frequency plot." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Applying baseline correction (mode: logratio)\n" ] }, { "data": { "image/png": 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HqeSw858B+vFobeSTDdSpXHfIkCEYMmRISnrDhg1x3333hW7Tt29f9O3b15sv\nKirCkiVLQtfNlA8hhBBCSDbDn7EihBBCSFZiBZ5i7Hk+e59HXcBOGyGEEEKyEgu10+HKll8cr9PR\no4QQQgghZM9gp40QQgghWYmspZGjVQ1sMtm8eTPOPvts9O3bFwMHDsTKlStD1/v3v/+Ns88+G336\n9MGgQYPw7LPP7nV9+XiUEEIIIVmJRO3cfapuHpWVlRg3bhyuueYaDB48GJ9++ilGjBiBoqIinxd2\n9+7dGD16NK677joMGjQImzZtwp/+9CfvRwX2dTkJIYQQQg5oXn31VQDA4MGDAQDNmjVDjx49sGrV\nKt96zz33HBo1aoRBgwYBADp06ICFCxfuVYcN4J22FJSQUEICQkIJYXiAANvRPh0gbgOVcYWY4yBm\nK/ej3WyGH0dK4TretFtKCThCQUp3nagUKR6yTN4xkzB3VNDdBqR3OzmOQswoq1luuwpfVDK/5D60\n+y3ogvOmE44zn9dIiMB+3XLEbMeYTsYZcGBJEeqSCjrHMsUqjEwxNn1OpqfJ9DdFpUReRHr1i1gy\npd5hOIZ/L8zvVx3PWDAOYX/T1TEsRiltKSR+YW6oYB2D/ipzu3Tt0ssrzbEK2y5lv6aDMFHnZOzg\ni7FepuNsrpOJoJ8tzCNXU5daEF2+YHzMvDK1KzPvYHuKQri+yMR/3dO5ADO1n3TL4sF8VGpbNDG9\nd9o9lhvwHlarTcpg+/PPp2ufQGobNY+vXmZey/T+Mnn6Utx4ifPbbINh64WV2Wxn1XEDmm04uB+z\nXlEpEE342aJSeI62iOV+P0UsvwdU2DHX0+bYek8QTjx9QfYxdT169KOPPkKzZs18ac2bN8e7777r\nS9u6dSuOPPJIXHfddXjzzTdxyCGH4A9/+AM6duy4V+XknTZCCCGEZCV1/duju3fvRl5eni8tNzcX\nZWVlvrSdO3fitddew1lnnYU1a9bgrLPOwqWXXoqSkpK9q+9ebU0IIYQQcoBQr149lJeX+9LKyspQ\nUFDgSzvooIPQpk0bnHjiiRBCYNiwYcjLy8M///nPvdo/O22EEEIIyUrq+rdHW7ZsiU8++cSXtn37\ndt8gBMB91+3HH3/0pQkh9vqdNnbaCCGEEJKV1MajUf2pDp06dUIkEsHy5csBANu2bcOGDRtQXFzs\nW2/QoEH4+OOPsX79egDAs88+i4qKCrRr126v6suBCIQQQggh1SAajWL27NmYPHky5s2bh9zcXEyb\nNg3NmzddfxcyAAAgAElEQVTHXXfdhfz8fIwdOxYNGjTArFmzMH36dEyZMgUNGzbE7Nmz0bBhw73a\nPztthBBCCMlKgqO09zyf6q9bVFSEJUuWpKRPmDDBN9+lS5cUFcjewk4bIYQQQrKSmjzarCqfbICd\ntgwoBTjKddvY2m9kTMccB+VxB45y/Vox28no4AHSu588744lAMvvSTNfkAxzBwWdQkDNnFApLiHD\n7RP0WAHh/jj9N+hM8j6JMkatcI9bSvmM+OlyWQJwDF+QJQUq447ndarSAVWFq606nrPgtn6PlQPE\n3XJGLQlbOck6OumPR7CtZHKzBesV5k3zefBCfH1h3imNz4GWoQ1l8l2FLQ+rs69ujkpx1JXHXA9U\nzFahMUjnCIxqt57hyQPcYwIAUYT4AR0V6nHT82EEvVn6uKd6CZPnqJXhLWLbScYm5qTGJSxGMcfx\ntZPKRCaVcadGvrXQ+lXlgQy0P39dkvvTZTE/FXEnYzkiIfsJOhH1tSQqhecbC7ogTZ8akLybEvbS\nudm2HBXu9zPnvXoi4VgMxE0jjeuztNx2FzW2T7ePMG8f4F6XHShIKeCoEI+bMOuqK2zGwN8+cy3X\nL5kbka4nzxLIjQhvOi8xbTkxoDLmOtmUk3C1OYCUEPHK0LKS2oedNkIIIYRkJRLhnfCa51M9ofz+\nhp02QgghhGQlB9rjUSo/CCGEEEKyAN5pI4QQQkhWcqDdaWOnjRBCCCFZiazBrxlkzgdAFrzXxsej\nhBBCCCFZQJ3eaXvjjTcwY8YM/Pjjj4hEIjjrrLPw29/+FiUlJZg0aRK2bdsGIQSKiopw0003oVGj\nRil5vPvuu7jtttvw/fffIxaLYcCAAZgwYQKEECgpKcG0adPw7rvvIh6Po1WrVpg0aVJoPoQQQgjJ\nbvh4dB9RVlaGsWPH4rbbbkOfPn3w3XffYciQIWjevDmWLFmCJk2aYM2aNXAcB+PHj8edd96J6dOn\n+/KorKzEJZdcgiuuuAJnnnkmSkpKMHz4cBx33HE4/fTTcfPNN6N+/fpYtWqVl8/MmTMxZcqUapdT\nKAci4aCRMuI5n5Ryb0tKALYUiEiFiBQoiFqI2a6zrSLuJF1u2q0UdKCFpIc5ugCk9fQAqR42RylI\nIWCrhM/MUT4Hmt8bldlhlMwTKWV2lOujizluubWfLua45Tb9UJUJF5POPyci4aiEK0sK5EYs71av\ndly55UhvuPZiZPiN0nm1fD6loOOshrfTg9tXNy9bAbatAChfecw805W7qn2G+clMX1U04Slz3WGp\nrjDTpZZsn4YnTqUee3edpJvK295wQLmolH0E9+XFwUmNja6jrRSiloCTcJhF4c8v6KEz3X9mmzfL\notuWedyiUoSeq2Hl9eUlk164qCURla6LUArXJWbJ5OMbIdJb1x3lXmMAJGKvYDuuh01fXxyF5Lnm\nKFTYDgAJRyhIpRCzgRxLwlYKOREZ6mULehT130wuv2Bb88U6Q3zduiRjGmxLpl/OPBfC/JNRy+9h\nc+OcvJYEHXh6O79TLbmvdO07rL2bvspgnsl6pj9Xg9d3vb7tKO8aGXTphbkhfd5L4xOV0ot72DVU\nnw/edwQUkLgmSAFfG7WkO6+no4lpCQU4tutoc+KA435PKiFdV5ty0tZ/X1OTH3vPnA/Ax6MGX375\nJXbu3Ilu3boBABo3bozjjjsOH3zwAYYPH47LLrsMUkpEIhF07twZH374YUoesVgMEydOxPDhwwEA\njRo1Qrt27fDee+8BAIYPH44rrrgClmUhGo2iW7du3jJCCCGEkGymzjptzZo1wzHHHIMnn3wSAPDZ\nZ5/h/fffR+fOnXHaaafh0EMPBQCUlJRg1apV6Nu3b0oe9erVw+DBgyET/7PYsWMH3njjDXTo0AEA\n0KtXLzRp0gQAoJTCunXrcNJJJ9VF9QghhBBSx0iRfES6N5+a/Pbo/qTOOm2RSAS33XYb7rjjDnTq\n1An9+vXDeeedh1atWnnrDBkyBN27d0eLFi3wu9/9LmN+O3fuxNixY9G9e3f06NHDt0wphWnTpuG7\n777D2LFj90V1CCGEELKf0Y9Ha+OTDdRZp+3bb7/FmDFjcMcdd2Djxo3YsGEDnn/+eSxatMhb5+9/\n/ztee+01RCIRjBkzJm1en332Gc455xwUFRVh2rRpvmVlZWUYP348/v3vf2PhwoWoX7/+PqsTIYQQ\nQkhdUWcDEd566y0cdNBB6N69OwD3fbRevXrhpZdeQn5+PgYMGID69eujfv36+M1vfoOhQ4eisrIS\nOTk5vny++OILnH/++bjoooswcuRI37LKykqMHTsWhx56KB5++OGUbQkhhBDyv4P726O1k082UGfl\nbNmyJb755hts3rwZgHtH7JVXXkFRUREeeughPPTQQ966a9euRcuWLVM6XUopXHnllRg1alRKhw0A\nZs2ahby8PNx+++3ssBFCCCH/4xxoj0fr7E5by5YtMW3aNFx//fWorKwEAJxyyikYM2YMhg4dimnT\npqFXr16IRCI44ogjMHPmTADA5s2bMWnSJKxYsQJvv/023nrrLZSUlOBvf/ubl3eHDh0wdepUPPTQ\nQ2jUqBEGDRrkLcvJyfEGP1SbxPBl4cQ97YejDAVG4q/Sw/QtwFEiodxwh21rFUbY8HEzDyBV8ZBp\niHjYkHA9HxzO730MHURQDRG1JKKJssPQF6RTQ4SRqnBITocNw/cpGkKWp8TF8adpJYK5zIyTqSpJ\nV0YTc79h+pOwk7laKgt9PBVSFCX++mUeZm4qFbxh/MJVS+iyac2EqfUwy2gWVwXanqlCgFSAk9R2\nSEvAUQJRs5xWWNmMNGNnZgzMuoYpFjRSClevI5Iqg0y6Gr3v4HFKt+9kW0Eo+hzItaSXfzCunmZB\nGjFAZq2HRpdHHwcHKjkdaNdRKRGVgC/oafMNr1AmHUV18whSk2uCeY4Gj4m7PFVvERbz4Lwuggxo\nYILx1O1bCleLAmSOiVs3BSTylZaA9K0fXnet1fCVxVGwZbIsMdvx2p3W5ujrejr9R9rruvEJLgP8\nyhSta4lKVwMUc5R7/XekdywsCThw42wnrgO2dGMlpICQFuBIQEhAGpYPmUgjdUKdynWLi4tRXFyc\nkt6iRQvMnz8/dJu2bdtixYoVAIATTzwxo8Jjy5YttVNQQgghhPzskUKkdNz3LJ9aKEwdwO4xIYQQ\nQkgWwB+MJ4QQQkhWIiwBofb+NlmWvNLGThshhBBCshP3Fbta6LRlwU9YAXw8SgghhBCSFfBOGyGE\nEEKyEmFJiFq4/5QlT0fZaSOEEEJIdiIsAVErj0ezo9vGTlsNCBsSLIS/h24JAUe6Th5HClgQkE7S\n+aN1S6Z7J5PzyHR5BR1fYc63IJ7XK+C4Mp1X0YQsLSqr9iKZLirTk+RNB+JRlc8pWE/ANSQ5Kp3H\nyk13Eu8fhPmt/M42f3qYJ8rEdH5ligUAXzzSEayD6Y0yyxh00fnLZHqakmk+D1OgXJkQIlkuKQSk\nBQT/nxmsmz7evuMfUj4TRynvWNrKrb/tJOscsxVijuPFI2a4qYIEfWxhLrqw/dsOEHMc73jHEhOm\nQzFlX4lzQgo3j6glvfMoKqXrx5PCi4V3TOCPv8+HZ7Rhc5lux/qY6PPM5y8MHAdzH8F9mqTbv3kO\nhbXJ6pwzQeddTTE9e1HL7xWr6vqj65tO0SCU2ziVMtcTiNkKllC+c86Rfr9jdV1+poFfX0/dab8v\n0GyfPnddYn+xxIlvG9Om27M61/hMhF3/Abd9a09nriVdf1vC02lJJHye7vYRKSAcG7BjgBOHiFe6\nkjavQQmIeMWeFZDUGHbaCCGEEJKV6A7pXuejBLJhLAI7bYQQQgjJSoSUELXwiwxCAbD3vjz7Go4e\nJYQQQgjJAninjRBCCCFZibRq8fFoFtxpY6eNEEIIIdmJBERt/HCoU/UqPwf4eJQQQgghJAvgnTZC\nCCGEZCXCkhCyFgYiiCwYOgp22sIREkpIQEg4EJ4/Ku4oxBKeKVspn/tICoG8iIStFKJKAVF/I/K8\nREL456V/uYnP65Ph1m0wj0w+Nb3cXT+9Uy25jZ5PeojM5eY65nomaX1KSB1hrV1QSinvbrXrkvKn\nB/1syJCXSTqtVIoHyyt7IGbhm7v7C+xHly1h4gp1zCXrleqey1ROtyypx7OmhLmvLM+J5Xq0hNAO\nraT3SQiREitdbLeeSbeXnfC0AUlPm1JJV1VwGkjGIoyw3xk01zfbhusakyk+PNM/FiToB3MdVkl3\nmPZYiUQ8XGebGxNLpj9nfOX1Odv8bd1c7sUR5vppAuPLX0H/hraj4B0c7cyzHWX48Ryfky3MVxaG\n9HkCTTeZ+zfMVxa8VpnXQ3NZ2DXMnAdSz1HzfNPxs1XyPLOEgJ3wAzpKQQpdV11KBWnpvNy/0ZD6\nBMuazuGYDvPa4I97qsMR8LeVMI+hleHENxeZ5dS+QSkEIlIgx3I/lhDIi7jTESkgY+UQZeWAHYeI\nV0DYlQlPW8AlWfFj+grvY6QU3nHbq3yyRK7Lx6OEEEIIIVkA77QRQgghJCsRUtTKQAShsuNOGztt\nhBBCCMlKpCUhrb1/aCiz4ecQwMejhBBCCCFZAe+0EUIIISQrEVJA1MJABD4eJYQQQgjZl1iolU5b\nljwd5eNRQgghhJBsgHfaAijD0aaESPiMlOv+QdIxpZ1SQri/WZYTAZQKOr38/quwZUG/lOmqEsLv\n9AH80zLgQbIMF1JwWnu3MvnWqksmL1tVg3gy+am030t72Ey3l46TdiqF+bxCPXRGvIVIeqIEgl47\nf2zCvGzBuirzuMDv2FJQEEJ4x8/zRSXcfrpO3nLDH2YSdEKZddFlTUf1HXAqECcV6sYKxiwdQUdd\nmJ8uWL4gZh3D8geCvjuV1nml3WOA33PlurqSO7GkSBtP7Q4zP1KYni7X2SaEgOW5xYTPhRh0MSZj\nJJJtX7kx0+W0lbtMGueKSTpfYiQgG00911RiP2Y79LdR0yUWRiaHm+nAC1tPp+lj4B6jhPdNJoIg\n3Wuro+tmeOfM4+T3IabWQ9dRu+lijlsh7WszyxvmdtT7s5WCJYS7jeOel766OW7ZZeK8DzoQPYT7\nj6nzrI6j0ds88B2SiTDfoXktlHDrkZNwtVmJv1E4ELEYRLwcorIMwolDxMuBeAzCiQPKaBRCAvF4\n1QXfR9TaQASVHfew2GkjhBBCSFZSa++0OdnxTlt2dC0JIYQQQg5weKeNEEIIIVmJlAKyFuS6tZFH\nXcBOGyGEEEKyEmFJiFp4p0042fHgMTtKSQghhBBygMM7bYQQQgjJSoQUkLUxEMHm41EfmzZtwg03\n3OBLKy0tRZ8+fTB9+nQv7eKLL8aHH36I5557rsZ5KKVwzz334Mknn4SUEu3atcMtt9yCevXqVbuc\nQjnukGYAQkhEZQRWRMJRCpZw9RlKKUQcd5h63EkM01ciZdi4Mv7aKSOvE+umaBD8+gfbGBqfTgsB\nJHUCljQ1BMKbDxt+nukRfphuwRxi7lMNVFPzYaoagnqTdPoLs/7p8GkbPG1HMh7p1k2Wb8+timH5\npcvbVCdUpz7msQP88debxzwtQ1JxEXMcxGyFWEJXU2E7sB2VWKbgGF4DW7mqCm/fMhA/33Hes4ua\nFWggwbyT9TUVNv48gsoOrVFx24vyzTuOsUwpxGxzG+XLJ6yc3rkj3HhYQiCaeG8mKgWilnTnhUDU\nEohKCUsCuZaFqCU8xY7W7cjEdUMrQdIpZTLpb4JaCyChYDHOaTNvrbBJKkcCuhojrnbinFOJGGpF\nik6Pi0TbsZM6leS0/5gAYdc6I8Zpjrk+3jr27rLwc9skeH0MHvOYbhsh7d8sZ7rzMdjmvfIb54ml\n1S+6TSSW6bYQVh8z3cvbaAzmMvParefTEVS2BDU4wbpZRht2lR9AriWRFxGwRA5y8/MgI3nud2Ks\nHMI2lB9a+yEknLz9p/wQtSTXFVYtFKYOqLNOW4cOHbBmzRpvvqKiAkOHDsU555zjpS1fvhzbt2/f\n4zwWLFiAV155BatWrUJubi4mTpyIF198EYMGDdoHNSKEEEIIqTv22ztts2fPRqdOndC2bVsAwDff\nfIP7778fV1xxxR7nsXjxYlxyySWoV68eIpEI7rjjDnbYCCGEkP9R9ECE2vhUl82bN+Pss89G3759\nMXDgQKxcuTLj+m+//TaKioqwYsWKva3u/nmn7fvvv8eSJUvw1FNPeWk33HADxo8fj8MOO2yP8ti9\nezc++eQTfPXVV/j1r3+NHTt2oEePHvjjH/+IvLy8fVIPQgghhOw/ZC2901Zd5UdlZSXGjRuHa665\nBoMHD8ann36KESNGoKioCIWFhSnrV1RU4IYbbkCTJk32uozAfrrTNn/+fBQXF6Nx48YAgGXLlsGy\nLJxxxhl7nMePP/4IAPjXv/6FhQsXYsmSJdi0aRPmzJlT+xUghBBCyAHHq6++CgAYPHgwAKBZs2bo\n0aMHVq1aFbr+zJkz0bNnTxx11FG1sv8677TZto2VK1d6HbSvv/4ac+bMwZQpU/Y4DwA46KCDAAC/\n/vWvkZubi4MPPhi//vWvsX79+tqtACGEEEJ+Fggpau1THT766CM0a9bMl9a8eXN88MEHKeu+9dZb\nePnllzF+/PhaqSuwHx6Pvv7668jJycHxxx8PAHj++eexe/dubzBBRUUFSktL0bt3byxatAhHHHFE\nlXkAQEFBARo3boydO3d6aUIIWFaWDAkhhBBCSI2otR+Mr2Yeu3fvTnnlKjc3F2VlZb608vJy3Hjj\njbj11luRk5Oz1+XT1Hmn7a233kLLli29+XPPPRfnnnuuN79x40ZMnDgxVPmRLg/NiBEj8PDDD6Nr\n165wHAcrVqxAz549a7X8hBBCCDkwqVevHsrLy31pZWVlKCgo8KXNnDkTffr08QZK1hZ13mn75ptv\nvPfQqsMzzzyD5cuXY+7cuVXmMXbsWEyaNAmnnXYa8vPz0bVrV4wePbpmBXRswLEhPAdNDJaQsIRA\nREaQG7GgFDwHVtxxXUq2g4SzLek60l4uO+EJAuBzHfkdOvBcQu42hvco4Kbyihri3dGYPiTtD9I+\nIQCJNL1uuNvMdAoFl+vpMIdYaFjT+OhMh1DQzxZ0c5l1zuSCqq53Lejq8jnVquFw0pjeMX98gw4n\n+Px5etswpx7gxjToZAp67WK29k85XtuqiDuIOQoxW/9VyZgaDrMq4+NzzKmUv2b8zGlLiqTzLDGd\nk6iw9p3pOketVN+VSdDxFrY/vT2g3LYqhXf8HKXgWP5zKiwOtlKojDu+ugXrbNZHlysnIpFjSa8u\neZZExJKwBJAbsRBNrOv63YTveLv5mXVKltmMv3ms9PZ6OmolnHC6/UDPm35GP9r9pvdhO0k3W9xo\nL+VxBzHHQUXc8WIVSxQyUxvSxzJ5XMzj6C5zkg1Zr5iYSLr0Yk6qm81sk+b1oSbePgA+V+GeYL60\n7jueAefhHrsNq3ktAVLPGbP9hPnq9Dp6O+0dzItIRC2BgqiFvIj7nZcbcZBnRWHJHOQU1ENUIOlp\nc2x3h0LC2eVgvyFFrXjaqhSOJmjZsiXmz5/vS9u+fXvKIIS1a9fCcRxvsOR3332H999/H9u2bcN1\n1123x8Ws805bVe+uderUyXeXrW/fvujbt2+18sjNzcWtt96694UkhBBCyM8eYYna+e3Ranb8OnXq\nhEgkguXLl2PEiBHYtm0bNmzYkKIrCz4tHDVqFIYNG4bhw4fvVTn5M1aEEEIIIdUgGo1i9uzZmDx5\nMubNm4fc3FxMmzYNzZs3x1133YX8/HyMHTt2n+2fnTZCCCGEZCVCSghZC3faapBHUVERlixZkpI+\nYcKEtNssWrRoj8oVZL/9IgIhhBBCCKk+vNNGCCGEkKxEylpSftTC3bq6gJ02QgghhGQlNf3d0Ez5\nZAPZUUpCCCGEkAMc3mkLwXO0JaZds41005UEhOvJUcL91QWpFGwg4UQSUFBQSkCJpGtMCpHRjSVF\n4p+Eu8wdfewJu1ycpErGXUcY2xveoGo4woK+p6CbDYDPEWZ62HzpGUZJ67or46+OgXaKJT1Cjueq\nM51CQd8SgBS/1p5g5uWWVaEy4aCqjDs+V1cmZxfgurr0X89LlvAcaZeWJYTnKJOJafM4RRMHwDxO\n7j785Q667EwPk3Zo6fiZLiqp80zkF/RJZYqPuS89XVWMgp4286PjFJUSVhw+b5sl/H4r0yel85RC\nIBoRvrbt1il93MJi5yggZrsOspjteG0tnvDbmT43E11GAIhK6fnXXBeb9LnZws43XQbAVV2ZPrag\nq809BsqrH6B8dYw5SZdiuvPYzM90IwLwO/yM8y9ZnlRXnFtvAUD4jomOjZ5PLkPKtSbMARn0P+pr\njuctNKpkataU8nsgw5yPwThUhzBvXtAN56an+uH0dhVxJ9SbpssVdl0BjPMm4DPU7S2q21/CERhG\nJmedtx8BVNgOolLAURaijr4OueeivmRE4H4bCcv1lUI5ECJ5kikZrXZcaxsha0n5UU1P2/6GnTZC\nCCGEZCX7Y/To/iQ7SkkIIYQQcoDDO22EEEIIyU4sC8KyaiWfbICdNkIIIYRkJQfaO218PEoIIYQQ\nkgXwThshhBBCshIpZa2IcSnXJYQQQgjZhxxocl122oIIAWX4ZyBcLxuEhGNFfU6quKMQcwClVMLr\nlHQG2U7ST6ZxfTtAFOmfnadz7qRJrhKZYV9heevH+kFPkhSeNc7nUgqiDEeRgutTcj1JArYDv/PK\nBmBpD5KEo5TrugpxKYU56YJOKtPTZS430e4l1wunPG+V9pxpZ5d2nfk8VgG3m7tPI3Yy4L4TyXTf\nvBApLr09wRIiET8971Y4GqKiSufP8vLR8fGcYanOvArb8eIRsxzEoknXlOlpA/wOO9NRpz1TADyv\nmZ6uqmzpjm2Y8yu4ThjhHi7lWxYk6FyLWskyW9o1BuE7Z6QQSdeYkZe5C9NhqM8bLx0qsdyfpqd9\nddDtWzk+/1u6+npl0W1IJuujSfeqT7p46/iY7jV9PdFx0duGxcmMkUhzbihdN28+ec0x61MdLVvG\n65gRe50W9EvGbOV5JvW1w058N1gJV6e+fgRj750nCd+adgBW5XUMO1c0pksOlk5L2EYN56E+5/Ii\nEnlR1y8YkQI5lkBeol3nWgIROBBOHMKOAbFKCDsOGC5TCAlZsbPqQJNagZ02QgghhGQlQtbSnTY+\nHiWEEEII2XcIKWpJrsvRo4QQQgghpJbgnTZCCCGEZCUciEAIIYQQkg3U0jttyJJ32rKjlIQQQggh\nBzh1eqdtx44duOmmm/DOO+8gEolg2LBhuPjii1FcXOxbr7y8HJFIBM8++2xKHps2bcKMGTNQWloK\ny7Jw7bXXomfPngCAr776CpMnT8bHH38MKSVOPvlkXHvttcjPz6+L6hFCCCGkDpGWhKyFO221kUdd\nUKedtokTJ6Jp06Z44YUXUFpainHjxmHw4MFYs2aNb72rrroKRUVFKduXlpbi0ksvxdSpU9G/f39s\n3boVo0aNwurVq9GkSRPccMMN+OUvf4m5c+eisrISo0ePxv33348rr7yyZgUV0u+h0clKJTw3ypPj\nCOH6eywpEi4fBQfC5w1ylPD5goKOpdAieF4nvxPN86jB762qqeoruO/g9tJLT7qAfD63QH6mLwnQ\ndVZwACjlbuhIBZWoT5hHKeiLM71wpufKLFPKdsGKVllOPa9SlrnL/YEKHjJDTZbiz6qOV6umVMfj\nl67N+NIMf59j1Mp0UiUdVabPzo2Snk9XxqCzS7vZLCn8HrOAv6uqY57cR3LafwwM95hRJ3c9o55G\nXk4NDoV5/ulyAgj1sJllDhuYpn+e2lE6Q5HGPwaff8xdJXEeeUsC8THmq+NZDDtv0sUvtSz+NqS3\nCWuqmdqmoxQkBByzXMYx0/E0j7E0ygm4dUw5R1NSAqhUn6VXPuUGzhLJfCxlePqUgBNRiNky4W+T\nntfR9beZ7j8V6kvT7jXTWRi1XKehTJw7KedJyHmcDjPW+nvDEu6+hYDPzyYcG8KOQcTLgZjrZhN2\nJeDEXT+bY0MY341KRgAhIMv3n6eNo0f3Ed988w3Wr1+Pyy+/HEIINGrUCI8++iiaN2/uW++VV17B\ntm3bcP7556fk8fbbbyM/Px/9+/cHALRq1QodO3bE2rVrAQDbtm1Dly5dAAA5OTno1KkTPvjgg31c\nM0IIIYSQfU+dddq2bduGRo0aYfny5RgyZAiKi4vx6KOPpqx355134oorrkAkknoTUAgBx/HfAatf\nvz4++eQTAED37t2xevVqxONx/PTTT3j55ZfRrVu3fVIfQgghhOxftFx3rz8ciODnv//9L0pKSpCT\nk4O///3vmDFjBu666y5s2LDBW+f555+H4zjo06dPaB7t27dHZWUlli5dCqUUtmzZgg0bNqCiogKA\n+1h1y5YtOPnkk3HKKaegfv36OPvss+ukfoQQQgipW2qlw1ZL2pC6oM5K2aBBAwghMHLkSADAcccd\nh549e2L9+vXeOsuXL8fQoUMz5jFnzhysWLECAwYMwIIFC9CzZ080aNAAADBmzBicdtppeOONN/Dm\nm2+iadOmmDBhwr6tGCGEEEJIHVBnAxGOPvpoxGIxlJWVoX79+l66Zbmv4+7evRsvvfQSrrrqqoz5\nnHTSSVi8eLE3/7vf/Q7dunVDSUkJ3nnnHdx7772wLAuWZaG4uBijR4/eNxUihBBCyH5FyNp5tMnH\nowFatGiB9u3bY+7cuQCAzz//HOvXr/d0HVu3boXjOGjWrFnaPHbv3o1+/fph8+bNAICXXnoJH3/8\nMXr16oWDDz4YjRs3xtNPPw3AHWG0bt06HHfccfu2YoQQQgjZLwgpIS1rrz/Z0mmrU+XHjBkzcP31\n16NXr17Iz8/HH//4R5x88skAgK+//hqNGzdO2eaZZ57B8uXLMXfuXBQUFODyyy/HlVdeCcdx0KhR\nI3qvR0wAACAASURBVMybN8/zsM2ZMwczZszw7sQdc8wxuP322/essEKGTydQCZ2HXxWhFRem7iOo\nTwhTQ+gh4W4+pprAVDxY0j9cP0yd4C0zhneH6jISVaqOLiOoWzBjkAkhhDtkXyTn0xGmSghTVWQq\nZ03Q+VlevuFlS8Y0XN9gbhXUSJj6huSxd9uI7STbh61S20ZQtRG2l6Q2INkWgvVLF0M7cOyC6hKv\n7om2FfUUN5aXb7ANWkKrCVydAODGVwgRUNXo8oQcZ6NMQb2JORvUsvg1FMrTZNiOeU6K0HNUivD6\nh+3XSdh+9CpeHAPbuPmlajCCpKh2AvMi8DdqrCASmpCgBkcfAx134aUL33XB3L8wdShGoVKvZYlr\nVUp79l//bH0MEtP62mYrBzFbeVoMx1iWqsNITkelhCWT7cpsd2Fx9LePkLQUDYjy8q0JVkJpY8nU\ng1uV1Sedpqeq67m5baZrYaq0KrlN8FqslHLVTNKCcOKATHQNnLj7/Sek+6WhlF+HpRw3xz1UGJGa\nU6edtqOOOgoLFy4MXXb66afj9NNPT0nv27cv+vbt680PGTIEQ4YMCc2jTZs2WLRoUe0UlhBCCCE/\na/jbo4QQQgghWcCB1mnLjlISQgghhBzg8E4bIYQQQrISIWpp9GjIu+s/R9hpI4QQQkhWIixRS49H\n+dujhBBCCCGkluCdNkIIIYRkJQfaQAR22tKhXTRCutOB591CCJ+bxvF5gap2tNmJDWJ20lekp2N2\nYpmjPUbaa5S+uJYw/UYCUggvzZ13nULufCLdmAeSTrcwB5LpAdPOoNCwwe9FCqu76SDT8UpH0FNn\nlhPwe5XC3GRmui5TOsxjmCkP058Utm5YnmbdbSc5HbMVKmzbd+z1sY7ZTsbjbt7NN4+9iW5nngsw\nEXvH8c8H8dpPoi1FpUDUkohKtz3lWhJ5EekuswQi0nVVSbjtSTjKaE/pg550HOp4JfyFaeIYJOje\n0m3NrVsyxtoLpqdjjv+8yhiDapxDgN8rlra+gf3YAZmW+b0R7mRUvrafbIMqxOOlvEcprpdLpfX2\nmSSPhZ5P+gb9y4N+PH8bN69r5XG3LZfHHVTYjjdfEU9OV9oOKuOO12bdeCTbtSUFcizpHZdoIlhm\nWw3DSdd4DPS23rH0HffwduDtO3DcrSragMZ0JZr5ufU1XYfCc7dZ2tmmj40QaR11YcfHWAtAMk9L\nCkSl27ZyZBQ50Ry3rjkxiHgF4MQh4pWAHYNQjt/VJiRUpKxadd4XHGjvtGVHKQkhhBBCDnB4p40Q\nQgghWYn726NWreSTDbDTRgghhJDsRFrupzbyyQKyo2tJCCGEEHKAwztthBBCCMlOZOLH7Gsjnywg\nO0pJCCGEEHKAwztthBBCCMlOpISwauOdtuy4h8VOWximg0Y5gLDcv8pxR6kkfDdBG4+pXEr14iSR\nEIB0l0ctQDpuTlGpEHMcRKXr2Ilqr5RM9XZp15ZtOHm09yfoJQp6vnx+L2n42gQQsaTnQIpqR5cl\nEJUSUUuXU3puojBfmmNYtkwnW9IVppLTAU9VVYT5D4NurOp4kkxHUiZ3Vk19i+a2Zr7+/el105fB\nEoAV8e+8ug4w24u5SmkvMSfhBXSS6Xaahmq2CymTbcD0ZIU5rPS2ofHRbTQkBsE4pBxXz6Xl34fp\ntvLtK+ABdNtdcr9VuQ/d7Vy/GRzABuBIICoBOAKQ6cua7lD5zhOl0ravcEdbct7ch46HghFf8xKm\n3KVOwH6XyVlYU8zrnfZQ6nM+5jiIOQ4co12a9YxaIlFe6R1jvY7pHTSdeIB7PQTcthkD3AME+ByE\nbtmSbTzY3sx9WAkfIeBv2+Y1UTpBR5yCoxLuNpncn1nOTB5KXzmEcK/7iXNMH3dL+tuAFeJm0+jr\nbZgn1DsfEu1AtyNLApYD2NItt0p8xQlbIceKIBKVEE4ckBHAiUPZcdfVpvcpJFQ0r1p13CdwIAIh\nhBBCCPm5wTtthBBCCMlODrA7bey0EUIIISQrEVLUzs9YZfo9wp8RfDxKCCGEEJIF8E4bIYQQQrIT\nUUuPRwUfjxJCCCGE7Dv2wzttmzdvxtSpU1FaWopIJIJLLrkEZ5xxRsp6CxcuxGOPPYZ4PI78/Hxc\nddVV6NKly14Vk502QgghhJBqUFlZiXHjxuGaa67B4MGD8emnn2LEiBEoKipCYWGht95zzz2HBx54\nAMuWLUPTpk2xevVqjB8/Hq+88gpyc3P3eP/stFWFkMm/QsJ2XAeO0v4ruP4bW6mkk8zw4wDanROS\ntXYuSeU5dKRw5y2IhL/NASDgKCAqhc8t5RjuIb8TLLmPTI4g7SHypqXwebeiluFwk0kvlna0pcPn\n6BLuPzLQ0oJ+t0wKMtP/pOeDDiLTBZd0gdXMBac9S7reQLgDLJ2DyXYAR4Y5wdxt9Lo65lHjxdfg\nfrx5kbpOOtJ74fxxCFuvKndcujYVsx3XkZVhfZNM7c2SAnlSeu3NXSZ880Bq2zHTTMymb7YdXdag\nO9CsnxnrYBmECJwLRhuWIulvDDte1XF2pdYTEF57TF9ff/3ca5Rbd+OcQXI5RM1dbUEHY3Jf/nMx\nZivPxxiz3XMh1b0mEJUKwVerg20D0N40/7Ew1/eVMaS9B9t5kDD3n3kupjsPg569sGMedqzCXHtB\nJ59ltAPLOP5muwCSflDzuqjT7cSBVnAdg+6y1PZqJXydlnSvS5GEczEiAGHH3Q0TrlLAdbMJ5UCJ\nxE9IBS/wdUhdD0R49dVXAQCDBw8GADRr1gw9evTAqlWrfJ22o48+GjNnzkTTpk0BAL1798Yf/vAH\nfPHFF2jRosUel5OdNkIIIYRkJ3X8ePSjjz5Cs2bNfGnNmzfHu+++60tr2bKlb37t2rVo0qQJjjrq\nqL0qJjtthBBCCCHVYPfu3cjL8/8CRG5uLsrKytJus3HjRkybNg133303otHoXu2fnTZCCCGEZCd1\nPHq0Xr16KC8v96WVlZWhoKAgdP2VK1fi9ttvxz333INTTz11r4tJTxshhBBCshJhuT8Yv/ef6nWH\nWrZsiU8++cSXtn37dt/7bJqlS5fiT3/6ExYtWlQrHTaAnTZCCCGEkGrRqVMnRCIRLF++HACwbds2\nbNiwAcXFxb71PvzwQ9x5551YsGBByvttewMfjxJCCCEkO5GJEay1kU81iEajmD17NiZPnox58+Yh\nNzcX06ZNQ/PmzXHXXXchPz8fY8eOxcKFC1FZWYnRo0f7tp84cSJ69Oixx8Wss07b559/jj59+qB5\n8+a+9EcffRQ//PADpk6dii+//BJKKYwZMwZnnnlmSh4bN27EhRde6Bt9kZOTgyeffNKbf+yxx3Dr\nrbfi8ssvx0UXXbRnhRXSHdps6D5UYlqrG4QQsITyhqUrpYdeu8OGw4bS6+HmSilvGL6t1QNQnjrE\ndtzpCthwlPDSYgm1h1Z8ZNIqBIfNm0Pmo5bwhrFHLeENwbeMYe7u0Hq3NlpzoJu0CBvDjmTdvPpW\nEWbzFAnLM52ywB3Kr9zCOQI2koqPmOMglghMzFE+hYWJlRjSDgBRKRND3d0S6fgEh+C75QzmlEwI\nUyDodK2Y0OXUOgTArySJeQe1hi4GBLUViTQnoD+ppi4mTE3hpIlldRQzSYUJII3Yy4TTIWoJRKX0\ndCu6XZrx9xQ5CarSfADmMRCJ8sGbt2RChxBSflPdYO7XkkkFg6lL0FoOVwHiTrvnm84juX5YXIKE\nxVH5lut6JFUWKpBuJ+osFGBDeXWwA3lrVYeXj/Knm+3UVKSEtWmdRzp1DOAqJbTuJqm6SSot9HlY\n1Tmp109HMhbJ+vjm07TV6iqCzHWDT9bCtDQp5UPSwaLbJ6AM5Ucyb73YEm6shHCvixKGFsjblf4O\nUl4m6aoUbKsi8X0REQCUA2HHIeyY+33oxBP6j2RuQgfBiaet5z5nP/wiQlFREZYsWZKSPmHCBG96\nypQpmDJlyt6XK0Cd32lbs2aNbz4Wi+Hss8/Gb37zG1x44YX4/PPPcfbZZ6OwsBBt2rRJ2b5JkyYp\neWgmT56MkpKSvXKgEEIIIYT8HNnv77R9/PHH+OKLLzBy5EgAwJFHHolBgwZh1apVNc5r8ODBuPfe\ne1GvXr3aLiYhhBBCfmYIKSGkVQuf/d4dqhZ1fqftqquuwr///W/k5OTg/PPPx/HHH+8+LnSSt1zr\n1auH9957L3T7n376CePGjcP27dvRsGFDjB07Ft27dwcAdOjQoU7qQAghhJCfAXX8Ttv+ps5KWVBQ\ngBEjRuDCCy/EU089heuuuw4333wzduzYgWbNmuGBBx6A4zj4z3/+gzVr1qCioiIlj0MPPRQDBgzA\nNddcg9WrV+OCCy7AuHHjUobfEkIIIYT8r1Fnd9oaNWqE6dOne/MdOnRA79698dxzz+H+++/H9OnT\nMWDAALRs2RK9e/fGl19+mZLHsccei8mTJ3vz/fv3x/z58/H/2Tv3MCmKc/9/q3p6lotGJCoaFCQB\nFc1R4g2JRhTloO4+XKJBQBESDSJeQIXk4We8oBA9aiSKghyOwVzAS8QQA8aECEejcDQaczzBgCAE\nkAMGA6KeZXd6uur3R3V1V1d3z866swsj7+d5humu7ql+q7qqt+ie+swrr7yCo48+ui2KQRAEQRDE\nPoJ+vFmJfKqBNhu0ffTRR9i9e3fsN7uEEMjlcujZsyd+8pOfhOm33HILTjjhhEQeO3bsgOd5+NKX\nvpTIgyAIgiCI/QzGKzR7tDoej5Y12tm2bRtWrlyJd999Fzt37oSUEp07d8axxx6Lr3/96zjiiCOa\nzOMvf/kL/t//+3/45S9/ia5du+Ldd9/Fyy+/jMcffxyXXnopvv3tb+OCCy7AO++8g//8z//Es88+\nm8jj97//PRYuXIgFCxagU6dOWLVqFd577z184xvfaH7JCYIgCIIgqoiSg7Y1a9bgwQcfxIoVK3Dw\nwQejV69eOPjgg8EYw5o1a7BkyRL84Ac/wLnnnouJEyem/oyD5pxzzsHVV18dutNqamowffp0nHTS\nSZg4cSJmzJiBH/3oR2jXrh3uv/9+dOnSBQDwi1/8AuvWrcO0adMwcuRI/OMf/8Dw4cPBOceBBx6I\n2bNno2vXrvB9H7W1tQDUIHP9+vX45S9/iYEDB8bcKU3CAhETc0I/m+SO4VQTykMUrIf+sAznj43p\nZxPBe9FXzp5CUaLe89HoC3i+QENRBMvKP9ZYFIbHLTqew5XTyuU8dLK5nIFzhhqHAw6H/ola7cPi\njCGfY6GbjUO9O4ELKfRQBX42h7NQA5TmRorCYaFPyqwXPc3E9EEhTJOhu07vI6QMvVPaeSYlQped\n58tUL5vnC3hB5l4gUTLdYzFfGNOOMFVfriOUI0xEdeRwGTikAo8Ukr6wkNDJFbnBtD/LdL0JCcBX\ndexLCXAZlkG3CyDpWDPLYqen7e8H9SiEjNWB54twm92e0rx22qGVz/HQCaXbl6rLyAfosCgdiPvZ\n9HqaP9B0tHH90nXOkk42ez3mWkv4uKJ9hGE7K+XrMtM4lAuQBV5AxgBwCSmDZSEhGVNuKzNGRP5B\n09Gm60QErjO7v+g2E0tLKat9quxrkO3m0nWWY7abzsgDZn2xoN8F7ZjH3W2+AASXYZt1wSJvG4/a\nc9JOZ7jFLExvnS8AP5ig1lBCAxbvH1YdNF932KTbMC1eu32r5WQ5s+LTXSbsS9zoEzy6TjuMwREy\ndAOq63LgFjTzDd7j/j0Z2x55N5ULTjAGziTAdR8M9pAidLZB+GAi7moD42Be/Lc425T9bCJC5qDt\npz/9KWbNmoXa2lr8+te/zhyQrV27Fk888QQuv/xy3HDDDRg9enTmwcaMGYMxY8Yk0r/+9a9nKj60\nCgQAOOe48cYbceONNyb2cxwn099GEARBEMTnD/3boZXIpxrIHFr+9re/xa9+9StMmzat5B20Y489\nFnfccQeeffZZPP/8860SJEEQBEEQxP5O5p22hQsXgpdxu/CNN97AqaeeiqOOOgoLFiyoaHAEQRAE\nQRCZ8ApNRKiSx6OZUZoDtt69e2P69OnwPC+xn/n7nuUM8giCIAiCICqC/u3Rlr6a8duje5OyRlmO\n4+Ctt97CqFGjsG3btti2cr+ATxAEQRAEQXx2yh60PfnkkzjxxBMxdOhQvPTSS+E2ljELiCAIgiAI\nojVRvz1amVc1ULaV1nVd3HrrrTjttNMwefJkjBw5EhMnTqQ7bQRBEARB7B32s++0lTVoMwdmF1xw\nAY4//nhMmjQJb731VuyH3j83BH4a7WjzhXIpeb5EQShPkSckiiJwFUGG/jAg8owBiLxFMvIWaceY\nXm70BXyh3huLys/mCYFCUWBPwYcvJApFkepnA5Q/K/YSEjU5DkdEd0EjL5kAcsFykcN1EPimlAtK\nBD4xaTnaICRY4G4TMvIK6TSzIfESd19N11HcCRX5qXwhIQznkx84oSQAwZU3KcdZ4N3iYZ14vnZG\nBefFqPMsX5PpR3Id7Q9Ty7qO4846FjrXbO9WRLSuY5BgcV+Yazr+UvxXMl4WnZftecoiy4NlovOy\nvXBm3GbZlF8t7pLS+5hpPHD9AZHPLlxPqUddY9rdpvZnRhvLfiQQd/tppxmL6tKqXyZZuD+YSjfr\nyow3fvwoXu0yDD1ZTPv7WNDP4jHKIA7dviM/ntrmBR69olDttCji1wjbD2bWt+tEXkXt8dIxOiyI\niUfx6XbLWdwhV4q0Pmr64+J1X9qzqNfVuZOJa6Xd7qN11T61g1EEfkF9jtPQ17w0L6DZ39W+LPO6\nZZ8HMy5dP6bbTWQFZGE63Ww/W03gRGRMORFzPOofucBnGJVR5Zf21EsaMdq+vPDaFzg4cwyBj60A\n5hXUstcA5nthOnxfLQeeNhn8reRefVllJlpOWUPL0047LbberVs3PPnkk/jyl7+MYrGE9ZAgCIIg\nCKK1YLxyryqgrCgfe+yxRFo+n8e0adOwZs2aigdFEARBEATRJPvZoK3k49Gf/exnTWbAGCv5KwgE\nQRAEQRBEyyk5aHv88cdj69u2bUv8ODwN2giCIAiC2BtI8PC7dS3NpxooOWhbvnx5bP3EE09MpBEE\nQRAEQewVGKvMo80q0Zc1q6TkZCMIgiAIgtg7lO1pIwiCIAiC2KdgrDJ3yarkphQN2tIIHDQMACQH\nZwxCytDv48PwWQWOtqKQaCyK0L3mCWG4lkwXUdy7ZG4TQsLlDNx1ADgQeQm/fbRN75+GwwBuOH9c\nrh1MKnblN5IQksHzZeAu8hN+LTcQDGr/E0fkf3K4qhOHq/yVHyp4GQ4vxgAmJZgohnWp5UwJBWLQ\nUSTPhbe4Bbjh2FIx63L7Usa8UGr/0ujbyeadYtNNVU5fNVVZMW+VtT3yspn7Bdtgevwif1WUFvfL\nJcphBWo722K+sZhfLZ6W5XAr5ddzmnFP3jMaqZDR2fGlTMRou95CB16KE8/0v9mY9V/KD2bWtwmz\n2kNWDA5nceeZ5ZDzZbyPSiliLjM/8Iv5MvIPai9bo+/DF0CjL+D5Irw2aAeY6RvjjKFdjsN1VJ91\nHQZXcsCRyrvIA6+iVOuCqb6nHYu+VH0UAPyM86iLYbZ3IOnG09vsfqh9cGDKjyehrhWmM08G9S0l\nAC4BweBLCW5dZ7NQbTbFYxd0cFfXWXDN0vWlHXe6zSmXXen2ldaW/MDV6QW+Un3NB5r2Q9puNu2N\nywWxhtfdwM2mvYDav5fmijSvPwAggj04krHotiCkOi+SMTB9QjQpjx1ZeE0Xkfltb/paOa+MGLdK\n5LrVESVBEARBEMR+Tsk7bUOHDo3dnSgUChg2bFhiv1/96leVj4wgCIIgCKIEklVo9ujnwdN2/vnn\nx9bPO++8Vg2GIAiCIAiCSCdz0LZ7925cd911zcps9+7dOOigg1ocFEEQBEEQRJOQ8kMxZMgQvPLK\nK2Vn9Morr6Q+OiUIgiAIgmgV6GesFHfffTemTJmCI488Epdddhn69euHQw45JLbPP//5T6xcuRJP\nPPEENm/ejPvuu6/VAyYIgiAIgtgfyRy09evXD0uXLsVPfvIT3HXXXfjkk09w8MEH46CDDgJjDB99\n9BF27dqFAw88ECNHjsScOXNKPhp9//33cd5556FHjx6x9IULF2Lbtm2455578OGHH8LzPFxwwQW4\n+eabEzLf559/Hg899FAsbceOHfjOd76Da6+9Fm+//Tbuuece7Ny5E1JK/Ou//ituuukmkgITBEEQ\nxOeSSt0lq/I7bQBw0EEH4cYbb8TEiRPx9ttvY926dfjoo48AAJ06dcIxxxyDf/mXfwFvht/khRde\niK0XCgVcffXVmDRpEi655BLs3LkT3/zmN3Hcccehrq4utu9FF12Eiy66KFzX+w4bNizM59Zbb8VF\nF12EnTt34uKLL8ZXvvIVDB06tOz4AIQNQM8mibufpOGESvqeTBzO4ICBCwlA+dJcQxBWyoulj6ux\nXW/2djvPNE+R2h55uqJ9o+OFviER9wg5nIH7ymPkcqDIJViQv8MZclLnrRxwDADnbuhsUxUauHzC\n+mWhn0xCqX6klKHfSHvIpDTKjOw619VpetlMlxZjUR0AkePIxvRTmf4pcz0Wt+FjE4YzKitOvT9j\ngBNEoRxWDC5PusRMf5uuEyEluGDh+RISaCwq45bt9yrVToDI/wUgdIBF6dFnbL9bFEvkHzSPrf2A\nQliuQiMesy1qT5XDANfhYds1XWRmm7TLEdWv7ifWurQciRlqqSyvndlf9LJ2uelltV96vmlwBuQd\nhrzD0NH6oxG152T+pp/LdMXZbVzjC4TeM9svmOa2i7YlPYN6W1qsOt7YOkvuox2PUqo+oJoqg+RA\nHsF1ISdj51CfP/u82tiOQu0ANH2UdjxSBvUjo3T7Om/Wi3YR6mtmVky67GYbMp2YejkXeNk4GHLc\ndmFqNx+ia6sRvAjqRZ9DX6hlP+x3kR/QPM/2uVAOOAaX55DPuSqGGgFWbAQTRTCvAazYCOkXlKvN\ndLPtRccZzR5NgXOOPn36oE+fPhUPwPM8TJ06FRdeeCEAoHPnzujTpw/Wrl2bGLTZ/PCHP8SoUaPw\npS99CZ9++iluueWWcFDXuXNnfPWrX8X69esrHjNBEARBEERb0+ZDyylTpqCurg7f/OY3sXjxYnTs\n2BG1tbXh3bqPPvoIf/rTn3DqqaeWzGfNmjV4/fXXMWbMGADAAQccEBvkrVmzBm+99RbOOeecVisL\nQRAEQRB7ET17tMWv6vgaVZv9jFWHDh1w8cUXY/To0ejduzfeeOMNXHnllejatStOO+00AMDHH3+M\nCRMm4Oyzz0b//v1L5jd79mx85zvfQU1NTSx9zZo1mDBhAnbt2oWbb765ycEfQRAEQRBVyn7226Nt\ndqetc+fO+OEPf4jevXsDAE499VQMGDAAy5cvBwBs2bIFI0aMQO/evTFjxoySee3atQsrVqzA4MGD\nE9uOO+44LF++HL/97W+xePFi/Pu//3vlC0MQBEEQBNHGlDVo++lPf4qdO3e26EAfffQRNm3aFEsT\nQiCXy2Hr1q244oorMGrUKNx6661NTmx48cUX8dWvfhWdO3cO07Zv344lS5aE64cffjgGDx6MF198\nsUVxEwRBEASxj7KfedrKinLhwoU4++yzMX78eLzwwgsoFArNPtBf/vIXjBw5Elu3bgUAvPvuu3j5\n5Zdx/vnnY/LkyRg9ejQuv/zysvL685//jF69esXShBC45ZZbsHLlSgBAQ0MDXnrpJRx//PHNjpUg\nCIIgiH0fPXu0Eq9qoKzvtP3ud7/DmjVr8MILL+DBBx/EbbfdhkGDBmHIkCFlf2fsnHPOwdVXX40r\nr7wSAFBTU4Pp06dDCIE///nP2LlzJ55++ulw/1NPPRXTp0/HL37xC6xbtw7Tpk0Lt33wwQeJmaxf\n+tKX8NBDD+Gee+5BfX09AOCUU07BTTfdVFZ8qTAeaCmUgkJCKSfMKdN6ur3DGNq5XKW72dPRszQE\nWungibguwVYpCJHMl/NIlQAoXYJWN2hdQtrUd6C0diRrGr8vJYRQab6U4ELGFARZ6GnpgJoiLyBj\nWoFoPV1xkUVsir+xbMfiWH3SVj7EFStNH9c8hj2lXy/b2oY0mlJ86HVPiJheI6t9+EY+2fEG65yB\ni7juI9TDiPi+pfBTqokHChOfMXAZaG+EBJcsFp8flNMLzoeqSz+uIUnRkkQaGxaLsSmVjj62XU+6\nLnV59HJanwNUTObxdUz2utoHqX3PVlFohYjDAx0GY6GSwdR7aJ0NkP1VnLiyIq75iOlaDI2R7pd6\nP1ufkoWp0hAsOseMqWPwQO9hx2presAAJpXTRErVfoBkHzHJ0rjY7d8TImxjzaWURkatJz9TSvfh\nWOfcxDc8QhyA5ICvz7vQypf0NhkpPaLzHebDlHbKYYA09StBbDyImTGmXuVUTNpJJVqVsiciHHfc\ncTjuuOMwadIkvPvuu3j++edxzTXX4KCDDsLw4cMxYsQIfOELXyiZx5gxY8LZniZr167N/Eza3bfH\nHnssdd/+/fs3OYGBIAiCIIjPCZxXxhO3F11zzaHZUa5btw6/+c1v8Nxzz0EIgTPOOANvvfUWLrzw\nQvz5z39ujRgJgiAIgiBSqJDyo7x7i3udsu60ffjhh1iyZAl+/etfY82aNejbty8mTpyIQYMGoV27\ndgCAX/3qV7j11luxdOnSVg2YIAiCIAhif6SsQVv//v1xxBFHYOjQoXj44YfRtWvXxD7Dhg3D7bff\nXvEACYIgCIIgUqnUzM/P00SE+fPn4/TTT4fv+3AcBwDQ2NiYENu+/fbblY+QIAiCIAgijf1s0FZW\nlEcccQQuueQSLFu2LExbsGABhg0bhi1btrRacARBEARBEISirEHbnXfeiWOOOQann356mDZs2DD0\n6dMHd911V6sFRxAEQRAEkQV52lJ46623sHLlSuTz+TDt4IMPxtSpU/H1r3+91YLbK0ihXgCY7bzY\nEQAAIABJREFUXwBjHC7PQXIWuJYAwYGiAPKSKbcTlONJgiWcY0DcQwYo55b2b3m+RENRhN4tzxdo\nLAr4MvByBd4tTwj4IvJJabQHyuGBjy1wWunlnMPhcha621yHx5xRrsNSPUImtmNMqGKgqB1FRlk9\nX8b8Yp6vl1Xcnoj8Z/a6Lmv4eWO9EAiSfCFRKMbrwq4XP8OrZWLWm37PfDGWcIap5ajewnxNXxiP\nVjL3acJxFHfHxd1h5rpvpOt90/Iol4TjzvC6qfWmy5ZFtE9Uf7azDQC8JuRgZixpTrcwZsvplsjH\nlIUFh/StOjPbJZDubjPPt5NxXs18zTzssrhB8C5nqMk5cIO2qPpysA/n4X7a79aUsw1Id55luc5M\nzH3sevQF4BvuMIeXbnNZPjW73j9L2y0376awT7F5XTF9fvZxTDL7kW6vlsdPbyvl1dTnGgjOexl9\nziyL6ffTTkC1HjkBHaZiY8UimCgCoggIP/zbGBLEvFcHPPoH4yuRTxVQVkk7dOiAbdu2JdI3btyY\n+F4bQRAEQRAEUXnKutN28cUX46qrrsK3vvUtHHnkkZBSYuPGjXjqqacwevTo1o6RIAiCIAgiCWOV\nuUtWJXfayhq03XDDDejUqROeffZZbN68GZxzdOvWDePHj8dll13W2jESBEEQBEEk2c9mj5Y1aGOM\nZf4EFUEQBEEQxP7C22+/jenTp2PXrl3I5XK4+uqrMXTo0MR+ixcvxty5c1EsFtGpUyfceuutOPHE\nE1t07LJ/e/SNN97Ahg0b0NDQkNh2xRVXtCgIgiAIgiCI5lKpmZ/l5lEoFHDdddfh+9//Pmpra7Fp\n0yZcfPHF6N27N4499thwvzVr1mD69Ol45plncPTRR+P555/H9ddfj2XLlsUmdTaXsgZtd955JxYu\nXIjOnTuHP1ulYYzRoI0gCIIgiL1AhWaPlvnbo6tWrQIA1NbWAgC6d++O/v37Y+nSpbFB23PPPYf+\n/fvj6KOPBgBcdNFFuOeee/D666/jrLPO+sxRljVoW7JkCR577DGceeaZn/lABEEQBEEQ1cyGDRvQ\nvXv3WFqPHj2wevXqxH5f/epXY2ndu3fH+vXrW3/Qlsvl0Ldv3898kKoj5txR3jYGDocxCAZwSDDG\nwv2kBCSUH0gYHjblEFOONe0v0y42L/CLNfrRtoaigCdE6CErFKNlX0jlb0vxQzmcIccZ8jkOJ3jX\ny+1dJ/S0uZyF3rbI+RT3tpk+oCwXl+0+0j42AGH5fImwnNrBprfp/XQdAUnfmr1eKEaeNl0PUR2b\nn8t2ezmch/WlX4Aqez7HkSvlarN8bnb9lyLL2WWS5g9rynlmOqK0g8qsu1Iuu8xYU/x1+t0ue2y5\nlP8so0w8pd50Pr6UqdvT9k1ztJkxuEGjdljkbNNZp8VtegUBhP0WQNi2m/IK6nzs82G2Y/Pdrmez\nL2sfW5rDLVZ+q76a4ys066s5xP1uMpZmts/m+gOz/GZZNMdLaLYXIL0dhnkZcZvnVZ/rtOPZ3sKm\nfIKxWFLOZTmOR9P3po+l9zGv6S7nMQecwyWYZEHfUA4wHvQTJqVys4kimF8MHaZMCkAI9YdvH5hx\nKRmDrEAc5eZRX1+feOJYU1ODPXv2xNL27NmTUKK1a9cO9fX1LYqzrHuKw4cPx1NPPdWiAxEEQRAE\nQVSUQF7f0hdKj/VDOnbsmPhu/549e9ChQ4dYWocOHdDY2Njkfs2lrDttO3fuxFNPPYWFCxeiW7du\n4Y/Gax5++OEWBUEQBEEQBLGv07NnTzz22GOxtPfeey/2fTYA6NWrFzZu3BiuSymxYcOGxH7Npaw7\nbZ7n4ZxzzsGJJ56ITp064cADD4y9CIIgCIIg2hqB4Cs4LX2Veautb9++yOVyWLRoEQA1S/TVV1/F\n4MGDY/sNHjwYL730EtauXQsA+OUvf4kOHTrgtNNOa1F5y7rTdvfdd7foIARBEARBEJWmGU82m8yn\nHFzXxezZszFt2jTMnTsXNTU1mDFjBnr06IEf/ehHaN++PSZMmICePXvijjvuwE033QTP83DooYdi\n9uzZyOXKNq2lUvanN23ahMWLF2P79u24++67IaXE66+/vn9NUCAIgiAIYr+md+/eePLJJxPpN998\nc2y9rq4OdXV1FT12WY9Hf/e736Gurg5vv/02lixZAgDYvn07rrvuOjz33HMVDYggCIIgCKIchKzc\nqxooa9A2a9YsPPDAA3jssceU6gLAEUccgUceeQRz585t1QAJgiAIgiDSULM/ZQVee7sk5VHW49H3\n338f5513HgCEgzYAOPXUU7F169bWiWxvwXjknmEckudQDKYEe75AQaiTW/AlCr7yN0mpXGwNRRE6\ny3zLXRY6fgJfmV7Xjja/mS0m1dcWuKAcziIPlJTgkoFLCQhA/cPVMQWDJ2TCFZR5zBQXkulm0i6j\nqNzKQecF7jTTOZfmEiunnA5n6JB3YunFCv4XyTfq0Dym/V7K4RY675rhWbPddw5jif/52b4mx3Ay\ncanPoQQcNOnAM8trl91Mt+s/7TzZafb5yJVRf4mX6ZlK8WmlOdrSKOXUi3mzDJeVTdxFlkw3+64u\nepqzTBjnRPcXvSzseraq2Syf3rexic+kfZ7zeL0KXxruunRnWLxtRuWw+7y+junlgh856ez+Host\nxYGY5kOMldVy35nvvpAoWm3ZzFf7GLULz3bjmTGZx7OPbac3VS772sBT1gF1PnSdc8bgG9+2Esb5\n0+3OPI+hqM38hpaIXG1CSijZqARjAJMqH0cCQjIwln3HiQWeNvh+cAihDsO42ka0CWXdaevSpUts\n6qrmT3/6Ezp16lTxoAiCIAiCIJpCVujR6OfqTtuwYcPw3e9+F1dccQWEEPjNb36Dd955B8888wyu\nuuqq1o6RIAiCIAgiQVvPHt3blDVoGz9+PA444AA8/fTTYIzhrrvuQvfu3XHLLbdg6NChrR0jQRAE\nQRDEfk/Zyo/LL78cl19+eWvGQhAEQRAEUTaVmvlZLbNHyxq0/exnPyu5/YorrqhIMARBEARBEEQ6\nZQ3aHn/88di6EAIffvghOnbsiO7du9OgjSAIgiCINkcrOyqRTzVQ1qBt+fLlibQ9e/Zg5syZOP74\n45t90I8//hi1tbU488wzcc8998S2jRs3DuvXr089JgCsWrUKDzzwAD755BMIITBq1CiMHTsWhUIh\n8dtfDQ0NyOVy+MMf/lB2bDLQfACA5A6KQis8lOaj0RfwBdDgCzR4AvWeD09INBQFPF/EpsGbmNPp\nXc4ABFPa3fh2U6VhagGKvoim26coAoBoOr/DWHAMIOdwuDya0u8wwA3mf+vZ4VqfUI66wF42URqK\nSB3gSgbhSACOij0fqU1s1Ymesq+XS6lB7On8Zh7mu72ciNfSejhG/aUpAuzPJD5nqCqApILBVESU\nqz4ppUMw4+WWIsMFA3dLO0d0GzLVE2ZdNnUe9HuTddKU6iOI33WSCgSz38SUJyV0EBpbkWLGjUCv\noMsrZKRKSNN+aGVCXA3CkuqREvPxfRFvA6YaRwRKoUihIYJtqq+nnSMAqdeBsPxGHYmgXn1fqrrg\nCOKP9hcyXnZTVxIeO0P1YcZe8EWirXwW1YfZru2YTO9BPsdRKArkczx2HdHH1vnZbVa/65fOQ+dp\nxpQPr5nZ7a7UNR9Q112zbbv6mmwtc+M66nAzn2xFTVZYZkh2fFICPiSkr/qChIAjGKQDAAKuw+C6\n7dXOrABIASYFZC7Qf/iZVdGmiOBViXyqgc/8I1jt27fHjTfeiIsuuqjZkxFmzJiBfD6fSF+0aBHe\ne++9zM/t2LEDEyZMwOzZs9GvXz9s3rwZQ4YMwUknnYSvfe1reOGFF2L7T5kyBb17925WbARBEARB\nEPsiZXnasvjnP/+Jjz76qFmfWbFiBTZt2pS4K/bBBx/gkUcewaRJkzI/6zgO7r33XvTr1w8A0K1b\nN/Ts2RNr165N7Lty5UqsWbOGHt0SBEEQxOcUKSv3qgbKutN23XXXJdL27NmDv/71rzjjjDPKPtju\n3bsxY8YMzJs3L/wNU80PfvAD3HDDDTjssMMyP9+5c2cMHDgwXN+8eTPWrVuHk08+ObHv/fffj0mT\nJiGX+8w3EwmCIAiC2IfRct1K5FMNlDWiOfDAAxNpX/ziF3HWWWfhW9/6VtkHmzFjBi677DL06NEj\nlv7MM8/AcRwMHToUr732Wll5bd++HePHj8dVV12FY445JrZtxYoVEEKEP71FEARBEARR7ZQ1aLv7\n7rtbfKDly5djy5YtiYkH27dvx5w5c/DEE0+Undfq1asxYcIEXHbZZRg3blxi+6JFizBkyJAWx0wQ\nBEEQxL6LRIVmj1bJbyJUfNA2derU1PTnn38eW7Zswfnnnw9AzSD1fR8vvvgicrkcRowYAQBobGzE\nrl27MGDAAPz85z9H165dY/msXr0a48aNw2233YZBgwYljlNfX48//vGPmDJlStkxEwRBEARRfdDs\n0RQ2bNiAN998E+3bt0e3bt0ghMDGjRshhIjNzmQlpkPff//9sfVZs2Zh69atiTtvr732GqZOnZqq\n/GhsbMTEiRMzB2wA8M4770AIge7du5dTNIIgCIIgiKqgrEFbnz590KdPH1x77bVhWqFQwEMPPYQO\nHTpgwoQJrRbgsmXLsGjRIjz66KNYtmwZtm7dipkzZ2LmzJnhPrW1tbj++usBqMethx566Gc+HtMu\nGsbBpASDUjrJ4N1hDILJ0JmjXpHLzJdxpxqgnEymv8v29/AU51SaQ0vnpT+j9zH9bGb+Ol1ICQjl\n5BGcwZfR/ykcVsInJuLlMreZ8Zn+H9MhlxZ7mudLv6f51bL8aGnY3rWm3tN8UPY5sevU3MfcL4u0\nejIdXdq7ZXvQSpUvVk7D76dj1PXu2ydWx2SdLyD9PKS549KcbGk0x9Gl3x3OQj+Wclfx0CuoPW6A\nOhe2UywNL2jnGdWQitN0M0v1xdntJ4tYO7CcZ1ltxXSx2X1K76PzC9NKnEObtH6TtV5uHuV+ziQR\nM0r3B/N47fNO2cfJKmOp64DeHovX8uXZ2/XndbrLWegedDmDGzg0ASgnGuehl832tOmsOYzlMqpY\nV5+Uwd8u6xGgmZ+QAIOEkEy1M1+COQyu40KyQDTBOOB7gBSAE/0dEbn2TQfTSlRq5ufnaiLCE088\nkbjzlc/nccMNN6B///6fadCmB1k2ffv2jR1r4MCB4YzRuro61NXVlcy3nH0IgiAIgqh+hJSZwvfm\n5lMNlOVpq6+vx4YNGxLpaWkEQRAEQRBE5SnrTltdXR3Gjh2LCy64IJwY8L//+7/43e9+hwsvvLBV\nAyQIgiAIgsiiOu6RVYayBm233347TjzxRPz+97/Hm2++CQA47LDDcO2112L48OGtGiBBEARBEEQa\nokJy3Urk0RaUNWhzHAeXXHIJLrnkktaOhyAIgiAIgkih7N8e/a//+i9873vfw+jRowEAxWIRzz77\nbKsFRhAEQRAEUYr97bdHyxq0LVy4ENdeey3atWuH//7v/wagfix+1qxZmD9/fqsGSBAEQRAEkYaA\nrNirGijr8ej8+fMxd+5cnHrqqVi8eDEAoEuXLpgzZw6uv/56fPvb327VINsUKYDA1QYAOZ6Dk3MC\nz41AjjP4UqLgS7TLMXTMc/gC8IRAQ1HA8yU8od/VVGTP8LYJEXmZPBFf96VEoShizq60FwAUrQfw\nuQxPkl62X3pb7D3FJZeF7V7TcaXFXyiKMOYsb5QdSy4j7tSXdhqxyItkrpvlCf1LKa6tNExXXZiW\n4awzt9n1pOvK3j+t/Fl1ZNZxVpy2H02/iub5sXx56iXKPjcO5xnpUT3azrAob5HYrj+XzzmRr83h\n6JB3Qndb+7wTOty0v80812noPgUkvYefBVsJ4Kf817wpV1qp7fZypk+sDEFXU8dJy1cvp107YuuG\nu9DsY2meMyDpMtTXPCA6R0JI+FxdR+1rh72cdh0xz0VWHeq4dTnMa4zpBzTX4Ufl8prxR90sv/Z0\n+hLqi1Mc8AQgpA+PqeN5gsFhInCzsdAJGtYnN69hJXxxUsIX8bqNtql3XSXaC+dyDtdRfU45SQWk\nZMjpQjg5OK6rjs9zgChCSgGI6Dok8/Vl1w3RMsoatH344Yc45ZRTAMR/9aBnz574xz/+0TqREQRB\nEARBlGB/k+uW9Xj0yCOPDB+Lmrz44os4/PDDKx4UQRAEQRBEU0gZzSBtyataBm1l3Wm74oorMG7c\nOAwZMgS+72POnDn429/+huXLl+OOO+5o5RAJgiAIgiCIsgZt3/rWt3DIIYfg6aefxlFHHYXf//73\n6N69O+bPn4/TTjuttWMkCIIgCIJIsL89Hi1r0LZmzRqce+65OPfcc1s7HoIgCIIgiLKo1MzPapk9\nWtZ32kaNGoVisdjasRAEQRAEQRAZlDVo+853voMHHngAO3fubO14CIIgCIIgykKiQnLdvV2QMinr\n8ehzzz2HXbt2Yf78+WjXrh1c141tf/3111sluL0C4+G7ZBySO8oTJJXjSTuCikKioajePV+i0ffR\nUBQQEvB8AS/Yz3Q7Kc8NAKG8PVyqddNV5HIOL/DfZDnbgKbdS/Z227VkLqd5z0wPlssZck7gxgo9\nQkkfE4DQOaePrX10AOD5MiyrXi74pb10Oh/bvZRVhnyOhx4jl7OEQyr0tJnuKD/ubbN9XFketoQH\nyfJPRZ8pfd6yfGxZlHKyAUCjbjcyrS5F6rFNn1U+pz1sPNkuLMeV/mxzHGIm5udirqyg3XFrOXSD\nlfAIRg5Bw43I7W3x8wYkfWKxOEu4sWL5OEg4yIDkOUo7x76QTbrZMp2LhjtNraeXoylPnf05s07S\njlGOB9FESAlwZpwbgEsGwSS4lAA4HCbhc+Vly+d4WG8OZyoNUX3q67EDFrZ503VoOw0dzuDIyL+m\n61Dnr9t+oSgSdZxFltcwPF4Jl6TrqFhc3bY5AxeqvQsOABKcAUKy0K8muNl/43Wrr63RevJ6ps+P\ny1WZaxwA4OBM/V0SHBBB3pIbgxlW9g8otSlCytQyfpZ8qoGyBm3XXHNNa8dBEARBEARBlKDkoG33\n7t046KCDMGzYsLaKhyAIgiAIoiyEiN9xbEk+1UDJ+51nn312Iu28885rtWAIgiAIgiDKRT8ercSr\nGig5aJMphdixY0erBUMQBEEQBEGkU/LxKEv5MmlaGkEQBEEQRFujJgm2/C5ZU5N09hXKmohAEARB\nEASxryEr9Ggz7cnivkibDtpefvll/PjHP0Z9fT0YYxgxYgRGjhyJwYMHx/ZraGhALpfDH/7wh8y8\nPv74Y9TW1uLMM8/EPffcAwDYtm0b7rrrLqxfvx6e52H48OE085UgCIIgiM8FJQdtvu/j5z//eWwE\nmpZ2xRVXNHmgHTt2YOLEifiP//gPnHLKKdiyZQuGDBmCE044AS+88EJs3ylTpqB3794l85sxYwby\n+XwsbfLkyejduzceeeQR7N69GyNGjMCXv/xlDBo0qMn4NJJxSCcPyZhysHkCjb5yAe0pSjT4AoWi\nxO5GD58WfHzaWIQnJOo9P+YcA1LcSiVcYaYLTPuQtKMIKO15asrrFeab4oBKOM+CGDlncLlys+Uc\nDpczuIGrzXU4ODPcZzzdyxT52qJ1X0oIqWL2Ao+buaxdZ54Q4XKaW8uuKyDFFWWU19cOozAhiKlE\n3dmON5237QvT9Wee21Kk3YY3P2fWZZYjSjvwdP14vjCWZaz+vBQ3m33O9XFdJ+mUSisbZ8xy0UXn\nSQTnU7sH9XIp3yCQ5sbigJBwOYMvGVypHF6Cs6D9GefcdGMh8PRZ9QXEHW7muo7bxvaQAfHj2sdO\no6XHNo+fVuZSzjp9nLQYzPNlxmVi9yW73ZeKK4pdxxGllYrH3GbXlR2reW0wt9meRDPfcrH7TNa1\n17yG5nM8dEW6nKEm56Amp66f7XI8WObhssMYGFOeNocDDKoetdIz7etIUkoI4/gSqm5VH1PvUqZ7\nMU30tdvlKpa8EzkR9XLeYXAhwIpFsGIjmNcACB+QAkxEv5LECnuaVbeVxJeVmT36uXg8ethhh2H+\n/Pkl0xhjZQ3aGGO47777cMoppwAAjjrqKBx99NFYt24dTj311HC/lStXYs2aNbj77rsz81qxYgU2\nbdqEwYMHY9u2bQCATz/9FG+88QZ++MMfgjGGTp064dJLL8WSJUuaNWgjCIIgCKI6ILmuwfLlyyt2\noEMOOQTnn39+uL5q1Sps3boVZ555Zmy/+++/H5MmTUIulx7a7t27MWPGDMybNw9LliwJ0xljYIzB\n9/0w7YADDsDf//73ipWBIAiCIAhib9Hmv0vx0ksvoX///pg0aRKmTZuGbt26hdtWrFgBIURJF9yM\nGTNw2WWXoUePHrH0jh074vTTT8e8efPgeR4+/PBDLFq0CI2Nja1WFoIgCIIg9h76EXBLX9Vyp63N\nB239+/fHSy+9hIULF+JHP/pR7G7ZokWLMGTIkMzPLl++HFu2bMGYMWNSt99333345JNPUFtbiylT\npqB///74whe+UPEyEARBEASx9xGycq9qoM1mj27YsAEbN24M76J95StfwYABA7B8+XLU1dWhvr4e\nf/zjHzFlypTMPJ5//nls2bIlfMz68ccfw/d9bNy4EU899RS6dOmChx9+ONx/9uzZOOGEE1q3YARB\nEARBEG1Amw3aPv74Y0yePBlPPPEEjjvuOHz88cdYuXJleGftnXfegRAC3bt3z8zj/vvvj63PmjUL\nW7duDZUfEydORJ8+ffDtb38b77//Pp5++mk88sgjrVcogiAIgiD2GubM3pbmUw202aCtT58+uP32\n2zFx4kQIISClxIABA8JHndu3b8ehhx6a+NyyZcuwaNEiPProo00eY/z48bjllluwYMECOI6DKVOm\nfIY7bQySMcjgdqmeTi0ACMggPdJWmDZmW2lgahVKvevPlnq3lzXmdHM7z3KwY/Ch4haSwWNSTeX3\nRar2AmhaNxAeJ0VpoZUB3GFol0tTGejPpmgXrAf7plYEQEwtImSgnTDUIuEUeB5XVMQzjR871J1I\nhOoJlwMQWp1hly2KPy32qD6j7a6jpvtH6QjXOaJtGh2yLq8M2qPnSzT6PnwBNPoiVII0Fn1VB4ZO\nJU2lotu4Kqtq+8JQPPhSxs6pWg7qymHgPKn/ABBTD5gaEBtfSBQCsYHWfQjhg3MGR8SVJFo/kqWc\nyFJI6DqItsXjcBgDhM5XGu1eradpL4CUPuHE6zWMS6an29i6kURaSp+PKzWUP8IPyqKPZWtbbF2N\n3cdLKW5KXQfS/haG10BDzxK2A0d/Lqn3sFU3QkRGfL2fVtw0pZixr5ulrqP2djtd65FsxUcH18EB\n+RxcR+kzTJVG3mHIBdeNHINSaEgBCB9MCrVswzgk4wB31DLPoRj8nfJ8qTRVQmlBvKB962uCL1Q/\n1ujridJ+MOSDsuQdhhonaNteA1ixAaxYACs2An4BzC+qTHV8jIMX/i8ZK9EqtKlcd+jQoRg6dGjq\ntrq6OtTV1SXSBw4ciIEDB6Z+5vrrr4+t9+7dG88++2zLAyUIgiAIYp9nX1N+zJs3D8888wyEEDji\niCMwffr02IRLzc6dOzFjxgysXr0axWIRxx9/PO644w507ty5ZP5tPhGBIAiCIAiiEiixcMtflXg6\numLFCixYsAALFy7EsmXLcNZZZ+Gmm25K3ff2229HPp/H0qVL8dvf/hae5+HHP/5xk8egQRtBEARB\nEEQLWbx4MYYMGYIvfvGLAIDRo0fjb3/7GzZu3JjY95vf/CYmTZoEx3Hgui6+8Y1vYO3atU0egwZt\nBEEQBEFUJQIyfETaohdafqttw4YNOProo8P19u3bo0uXLli/fn1i33PPPRddunQBoL6D+OKLL4a/\nGFWKNv1OG0EQBEEQRKVo69mjS5cuxZ133plIP/DAAwEANTU1sfR27dqhvr4+Mz8pJWbMmIEdO3bg\nwQcfbPL4NGgjCIIgCIIog9raWtTW1qZuGzx4cOJXmPbs2YOOHTum7r9nzx5873vfw86dO/Gzn/0M\nBxxwQJPHp0EbQRAEQRBVidZwVSKfltKrV6/Y99c+/fRTfPDBBzjmmGMS+xYKBUyYMAGHHHII5s+f\nj3w+X9YxaNCWQIIJHwxA3nHgMG1lYnA5QwMX6OBydMw7KHRwUe/58HyJhqIwHGAidGFpspxMfuCL\nghP3Eelt5XrbSu2Xtm5juuNSXyzuxjIdZrHjGGXT5fetQ4duJ33MFAdcU26oNB+azku/q/0AgMHV\nPjPL86TXdZx6WZRxq1wIiUYhw/rQ2N6uMG4j0OzyAS5XXzV1HaPeuS672o+FZQtiMcIN3UtSSeRc\nyeCLyC0GKIeTbqcFX3mtCkWR+aghq30AQN7hcWcXj+LkQfyhh47reKM2btanxmwzZj0Kodx6vpQQ\ngUctDd84j6aPrpS3yy5vosyWs88uq95mYvd1s5xZjrjP2ofTylAq3cnof0Cyj2eVy65ne1s5/snm\nxm+S5WIrFJVDrJhyrm0fWy6lTdvLaTGZy9qH5wkBxwcADkeovwuc+XAFgxbQ2T48P0jM8Rwghfp7\nIxB3tRnONsY4IDjAOMA8uIGzzc3lUJQscLMFDlEhIRB5LKWUYOG1U6W5QR24XHnbeLERrNAIiGLk\nZ5MCrFiIHHIBkmnp5N77erye/VmJfFrKsGHDMHXqVIwaNQqHH3445s2bh5NPPjlV+fHwww+jXbt2\n+Ld/+zfwZtQfDdoIgiAIgiBayFlnnYUrr7wSY8aMgZQS3bt3j/2S0wUXXIBZs2ahV69e+MlPfoLO\nnTvjoosuCrfn83k899xzJY9BgzaCIAiCIKqSfU2uO3bsWIwdOzZ12wsvvBAu//Wvf/1M+dOgjSAI\ngiCIqkRaX0VqST7VAHnaCIIgCIIgqgC600YQBEEQRFXio0ITEVqeRZtAgzaCIAiCIKpAFgPPAAAg\nAElEQVSSfe07ba0NPR4lCIIgCIKoAuhOmwWTAkwUlQNHADnGAYdBWXiUI8cXgMslXM6Qd3joI2oo\nisDTprxLQiLTA5aWbjqlVHq218ncbruKTC+R+SpmOJJMV1E+x8N3vexyDtdR72keNTs2z49+y82X\ngCcECkUR84Dp9aIZo8x2aNn+pLyjYqvJcbTPO2HM7fNOLE7tPAv9ckg6p0z0Nm7LlFIoY5cQISWE\nn+6tK5VvlqPO9Lqpz0QfCtuN0f7MdsWZqjeXs5jDLKv9NeXUKvgic1tWW0xrm+U44gDEvFo63XZ6\nNeUHK6YcJ5fiorPXU7dluMwSPi7L1Viq/2rPmO4zjbrvpJwT05fXVF/W/dn2zKW5Bc2YzTai0z0h\nEjHby1n9Ozof8bbjC5k4l47uwynetLR1VQ6W+EyNUQfletnMurbbp30OdF17voTDfDTmHNTkODyh\n/lY0FgU6uA5ch6Hgc+QdhlzgX1SeNIAxBpe7cHJ5OEx505jpRpMissDq9sZ46EvTHkYZOAwZV3+7\nHKYcbeqvmP64clwmao9xSJ4DYzz6NU4pgcAjJw1Pm3LFcYh8Q+IctBW257Al+VQDNGgjCIIgCKIq\nERWaPVqJPNoCejxKEARBEARRBdCdNoIgCIIgqpJ96Wes2gIatBEEQRAEUZXQ7FGCIAiCIAhin4Pu\ntBEEQRAEUZXQ7FGCIAiCIIgqwJdNa4nKzacaoEFbGix6aiwZg5SRS6roK5dVgy9Q8CUaPAFPCNR7\nAg1FAc8X8IRE0RcxBxYQ962ZLizTA6T9Rno9zbumSXNN6f1sTPeQ7SsyfU7tXQecMbgOQzuHB64z\nBtdRXi/tCLPVSPqQvpDwAjeYrgvPlxB55bHTbqdCUWBPwU96qJiEz9V2h7NY2fW6na6dVrp+4k4q\ntZ/2tJk+s1K+tqhclenJ5bYBXY40bI9Umh8syx33WRxhdvvLam9A5DjTFK02azu6fMPxZe5v5hN3\nZ/GSLq2wnBleNrUc+aXS3F/auWY7vWxsR5urnXkpzjNufd7UCmQ58gp+0nfW3roO2PVg9mHtMXQ5\nC12Fpl8xdLQZ7SbLGekJEVvOckLa5yyf47G05pyrLLdkuF2m728ezw8MY45U58QXEn4Qm+n5S/Sp\n4D3LLwggdM+ZxzPdeNobeUCNhCc4hFSeNiEdAIArGDq4gPp2EgNjOi8GziSkBBwJOEyCMQaHcXDu\nKGeblIAUkbdNf1IKSACccbCgDMrYFtW1kCxcN0+bDLZLqY+Xg5N3waQEEzWQOU/lLwUgikEGAuA8\n8rS181LPMVF5aNBGEARBEERVIlL+8/BZ86kGaNBGEARBEERVkvVLKp8ln2qAZo8SBEEQBEFUAXSn\njSAIgiCIqmR/u9NGgzaCIAiCIKoSISv0nbYqUX7Q41GCIAiCIIgqoE3vtK1atQoPPPAAPvnkEwgh\nMGrUKIwdOxbbtm3DXXfdhfXr18PzPAwfPhzXXHNNah5vv/02pk+fjl27diGXy+Hqq6/G0KFDAQBb\ntmzB9OnTsWnTJhSLRfTt2xe33XYbampqyg9SCvWCmjINycEAMMbUlGsGIBiRy2AafENRoN7zUe/5\n8HyJes9HQ9HHnoIfTts3NQpFcxq5pfywdQiNKfoFvb80/nfBeFxdoKfc1+R4MA09F6oAtM6gfd6J\npqgzpTlwOYfrRJoPHigNHG6oDSxVhvofikRT/9lxGCAYAzjC+PR7qf8plZqab+oEHCsuM05fAr4v\n4WkVgLGrrcNQaekajDQli63CyKXFlqE9CGMw8jQ1B7H3Jv4nqMtv1025Og7VTv1Iv2LpP2LHsrQJ\ncY1Mup4jrtBwYjHb23PW50tpI9J0DGl9y+FOer1xs51IQACNgXLGVDlonUyhKMJ26zgMvkyqVux1\nU/UCJFUfWqdhl6kpxYndxszP7kF6P0mrQ/u4pm5Et4FGs+1L3Y+i/GuMPq1fuu7ywbVEq0dcrVxJ\nCaupOrKvqXo5bLfS7q8i0X7NOrH1L6XqSC2L2Gf0dVWX1zxvLlfqlZqcg5qcuva2C66zeYchxxFe\nWx2GQLmhdTLxOJnu/4xDBloqGdS/DFQtUqq2JqW6HktEeg9pXD8Yi7RNDNHxOGPgkGC+p/4OCl/p\nRYy/iwAi3QfPQTIO6biZddfa0OPRVmLHjh2YMGECZs+ejX79+mHz5s0YMmQITjrpJNx///3o3bs3\nHnnkEezevRsjRozAl7/8ZQwaNCiWR6FQwHXXXYfvf//7qK2txaZNm3DxxRejd+/eOPbYYzFx4kT0\n798fc+fORX19PUaPHo3HH38cV199dVsVkyAIgiCINmJ/G7S12eNRx3Fw7733ol+/fgCAbt26oWfP\nnnj77bfxxhtvYPTo0WCMoVOnTrj00kuxZMmSRB6rVq0CANTW1gIAunfvjv79+2Pp0qUQQuC73/0u\nrrzySgBAhw4dcMYZZ2Dt2rVtVEKCIAiCIIjWo83utHXu3BkDBw4M1zdv3ox169ahX79+YIzB9/1w\n2wEHHIC///3viTw2bNiA7t27x9J69OiB1atXg3OOCy+8MEwvFAp4+eWXMWLEiMoXhiAIgiCIvc7+\nJtfdKxMRtm/fjvHjx+Oqq67CMcccg9NPPx3z5s2D53n48MMPsWjRIjQ2NiY+V19fj3bt2sXSampq\nsGfPnlhaoVDA5MmTceihh+LSSy9t1bIQBEEQBLF30L892uJXdYzZ2n7Qtnr1alx66aUYOnQorrvu\nOgDAfffdh08++QS1tbWYMmUK+vfvjy984QuJz3bs2BENDQ2xtD179qBDhw7h+s6dOzF27FgAwJw5\nc5DLkdWEIAiCIIjqp01HNKtXr8a4ceNw2223xSYZdOnSBQ8//HC4Pnv2bJxwwgmJz/fs2ROPPfZY\nLO29997DscceCwDYvXs3xo4di7PPPhs333wzWBk/CE4QBEEQRHVCj0dbicbGRkycODExYAOAiRMn\nYv78+QCA999/H08//TSGDx+eyKNv377I5XJYtGgRAGDNmjV49dVXMXjwYADAnXfeidNOOw2TJ0+m\nARtBEARBfM4pBpqkSryqgTa707Zs2TJs3boVM2fOxMyZM8P02tpajB8/HrfccgsWLFgAx3EwZcqU\n8E7bsmXLsGjRIjz66KNwXRezZ8/GtGnTMHfuXNTU1GDGjBno0aMH/vGPf2DJkiXo2rUrXn311TD/\no446CvPmzWtesEJPivDBhA+XO8gxDtd14HIBIRlqBEMhJ9HB5coL5Es0eCL0tjUG7jZfKr+RJwSE\nkGjwI/dRmgvLdrMV/LgfrFBUsTWm+MI0pdxMtl8rHziDHIbQ0cZZ9NLOIM6Um8lhLPQnAcoB5AsJ\nT0gIKeH5Qi0HaXpdu5Ns95iOUTuOACScTo4RC6DSYqcrw4Glt5np4Wdk0nsWdzE1/R0I0wlmUkjU\nejZN+duAyGVnYrrXUp11Zfi5gKSjSy/bZctyxJmeLtuxZr/S4ioVe1Mx23GnlcPePy2PrGNmxaZd\nXACwR/gl69quX9stpuu6UBQxN2BW3HZd2vVfyhHYnLZgpxUD95iZh30s+7pi7y+C64de1h5Fzq3+\nneqBVP1bGN423c89X6Y63Ow6L4rsOzLNaXPmZ3JWedvnHbTPO3A5RwfXQQdXvbuOXldOTO1oU9c6\nVZcuj3vamJSAFGDB3wBIodxoQOhpA3NCR5svlYtN1Y1a1mY1KQPHKNSdGs7ifjaHM3DfA0TgZhNF\ndTy/GHnaNDoGh756tDdos1qvq6tDXV1d5vZnn302NX3gwIGxWae9e/fGk08+mdjvsMMOI70HQRAE\nQexHkKeNIAiCIAiC2Oeg+5sEQRAEQVQl+9sPxtOgjSAIgiCIqsQ3vsPc0nyqAXo8ShAEQRAEUQXQ\nnTaCIAiCIKqS/c3TRoM2giAIgiCqkv1t9igN2tJgPHLiMAbJc5CMhb9Ppvxp6tVYVM/TPy0UUe8J\neH7gafOVq82XMny3PV8AQsePSfsUT5L9uTSPVpZ7ymEs4XHSeWqHUd7hQNGHkBwuZ1BPzgUEZwAE\n3MAnFOat/VBMOX+0u8rlTHnZhESNlPAEj7xK+fTvHui8bBcbN46RhS8BHuzAA4eTwxi4DHxQTMKN\n7W/47JoQMJv7mv8Ls71ver9SjrA0nxiQ7ivT7cF06HHOYh49hyE4J4HPjkVOLM4Quu1UngjS4+XV\n5bfPSVgukSyn2cTKvciV46LTeZlOLr3uBw5AM81089lePvvz4TFKePnKSU91nxltN9xmFNfnRjmk\nRD7H4Qv1HrkXBWpyPHQvFnxhuBtFou2YMUSeQyfypAVtoSZoR6U8eeXQnPrIOoZ2PPoSSiIWXvKY\nsc5S+3rocwt29RkL+jrAJYPDJBxf1bWQMtaHSrXRtHrJKrvdt9OutbaXzhMCnmBoKAp1nQo2uZxD\nFZiBMwnGlEONS+Vm4w5TXjU7GMZT14WUkIgcbZ6QgbstavNm02cM4L6qJxZcLx0m4To5MAbkHADa\n0+b40TIQc8WB5yB5DuAOJH3Tqs2gQRtBEARBEFWJvpFSiXyqARq0EQRBEARRlQgh4AvR9I5l5FMN\n0D1NgiAIgiCIKoDutBEEQRAEUZXQRASCIAiCIIgqYH8btNHjUYIgCIIgiCqA7rQRBEEQBFGV+FKi\nWJHZo9Vxp40GbTZSWk4aB5ACDBwMkTvHvEUpTE9X4MlpLCpfm5C2dynZMPKGTyntHYg7xczG1ZRH\nqJTjSW/Xvig/x1X8DHCFhMhxcMHgc+VXcjmDBwnXYbF4HO0N03lqZ1YwFTvNvWXHb1Puj/e6Mb8S\ng+NG61nuLHObfZxSMabFZE4Tz/LJxeIIXWqm5075nbRfzQ0ycrnysLkOAwvda4FnCQwOV+2RMxak\nAczYB4jaKWvCSQcozxMAiHBd10WTHy07bzP/+DGUa0ofL0xH5JxKpkn4InKgmetA5JVrygEXxmVs\nL9X+bH9gdP5Y4nyq/ZJ1bzrvPF95vDxfwBMSxeBdr+/xfOwp+GFfrQ+W1fUmxf+nFItoLArV3ooC\n+RyPXVfSlmPxGdcP81qRRtp1K3YMFncu8sAlF9aXdXxd97ZXMEpTbjEE1yUAoZMOSJrt7fzL9T/q\nODxfta3wPAkRc+yZ72Y95HMc+RxH+7wDl3N0cB10cDlqcur9wHwOHVwHDgeKgiEf1Jkvgbyj4nO4\nAwiASaH+HgV/n3Toqv8HZWcM0skBOQ7JWNhHtBpPWp7FeJ0EujwGCDAwxwWTEowVIbkTdT79t9F0\nmHIHPrL7S2tDj0cJgiAIgiCIfQ6600YQBEEQRFVCvz1KEARBEARRBfgC4BV5PFqBYNoAejxKEARB\nEARRBdCgjSAIgiCIqkRPxmnxq0KzR+fNm4dBgwZh4MCBuOKKK7B58+YmP3PHHXfg2GOPLSt/GrQR\nBEEQBFGViEoM2ISsyHfaVqxYgQULFmDhwoVYtmwZzjrrLNx0000lP7Nq1Sq88sorZR+jTb/TtmrV\nKjzwwAP45JNPIITAqFGjMHbsWGzZsgXTp0/Hpk2bUCwW0bdvX9x2222oqakpOw+bcePGYf369Vi+\nfHnzgpQSTBSjqc1FAcY4wDjyjMPlOcBhkPk8BBi84IQXA92HL6Sati/0/wDUe2NRwJcSni/hCZHQ\nYQBxfUQWtorC1hSIIA5TewBkT4O3p96b2gLXCVQkhsZAxQDAmOJtt/U0jYLOx5fWVH6e/rk0wqn6\nPFIIuDypy4i2cQRFCLUY6pDxuf5ZNowUE0LJz5STr51nqJAxdjZ1HVrVEak+9D6B2sPIN7ZvduiW\nWiPSs0jG1LR/fc5CZYVZpui4uizJWFhmnYYxWGoVMya1PdITSCsdSGpJNGlNKE03YuoQAPV9FhGs\nacWI7jt6X72fjWO0YbudhcthXdnlD/KH/uOhlBJaM9FQFGj0I31QY1GEKpCCL2J/dJJxsfjL6utO\n2F7SFRi2KiO2rQyFTCKe1P7AYhocfa3R8et+rfaLNDgON1U3wbtRx3Zf1AjjumWqZNI0Mp4QxrJM\nqFlEcD0PlTPBOdD15nIO12GocZRuRSs/XM7RzuXIO5Hmw+UMeUeVP6evab4HFAUg/OhvkhSAEJEC\nRBfExDw3LGqcUi9znro9zA8Agh9PZzLZ4CXjKg/GAScPxp1Urc3+yOLFizFkyBB88YtfBACMHj0a\nDz74IDZu3IgePXok9v+///s/3HHHHZg6dSomTJhQ1jHabNC2Y8cOTJgwAbNnz0a/fv2wefNmDBky\nBCeddBLuuusu9O/fH3PnzkV9fT1Gjx6Nxx9/HFdffXXZeXzta18L91u0aBHee++9tioaQRAEQRB7\nASkkZAXuklUijw0bNuCcc84J19u3b48uXbpg/fr1qYO2e++9F4MHDy770SjQhoM2x3Fw7733ol+/\nfgCAbt26oWfPnli7di2++93v4hvf+AYAoEOHDjjjjDOwdu3aZuWhB20ffPABHnnkEdx4442YOXNm\nG5WOIAiCIIi2RlTo0Wa5eSxduhR33nlnIv3AAw8EgMQTwnbt2qG+vj6x/6pVq/A///M/ePrpp7F9\n+/ay42yzQVvnzp0xcODAcH3z5s1Yt24dTj75ZBxzzDFheqFQwMsvv4wRI0Y0Kw/ND37wA9xwww04\n7LDDWqkkBEEQBEHsj9TW1qK2tjZ12+DBg9HY2BhL27NnDzp27BhL+/TTT3HHHXfgoYceQi7XvGHY\nXpmIsH37dowfPx5XXXVVYsA2efJkHHroobj00kubncczzzwDx3EwdOjQVo2fIAiCIIi9j5SyYq+W\n0qtXL2zcuDFc//TTT/HBBx/ExjkA8Oabb+Kjjz7CNddcgwEDBmDUqFEAgAEDBuDNN98seYw2l+uu\nXr0aEyZMwGWXXYZx48aF6Tt37sR1112HQw45BHPmzCk5+kzLY/v27ZgzZw6eeOKJVi8DQRAEQRB7\nHykr9J22Cgzahg0bhqlTp2LUqFE4/PDDMW/ePJx88sno1q1bbL/+/fvjtddeC9fff/99nHfeeWVN\nnGzTQdvq1asxbtw43HbbbRg0aFCYvnv3bowdOxZnn302br755pI/bp2Vx4oVK1BfXx8+Vm1sbMSu\nXbswYMAA/PznP0fXrl1br2AEQRAEQezXnHXWWbjyyisxZswYSCnRvXt33H///eH2Cy64ALNmzUKv\nXr0+8zHabNDW2NiIiRMnJgZbAHDnnXfitNNOw+TJkz9zHiNHjsTIkSPD9ddeew1Tp05tvvKDIAiC\nIIiqQFZoIkIl7tYBwNixY1M1ZADwwgsvpKYfeeSRqZMv02izQduyZcuwdetWzJw5Mzar8/TTT8eS\nJUvQtWtXvPrqq2H6UUcdhXnz5mHZsmVYtGgRHn300cw8amtrcf3111cmUMYid40UAA+qiHFInotv\nR+AG0s4zAIIz1CDwTGUcIusurPZmmS4pP/BV6WXtk9JOJ+0TUv43lbH2CQkZ+ZtMn5uN6U8y/Uv6\nM6GXzU9+NsvJlnWsrH3NTlfqc7ZPTjgcrgzWc5F7znVMN5VKc7j2iymvU+SpQmLdCZ1PkTuKMYBp\njx8QOJP8yGVkupP0uoZZXx/V68G7ZBnuJBNpuJMklEvJPDYQ+pUScON4wUvqZe4ADJA8B8lYeE5N\nP1pqlrqOEPeTMSnjLikprdgz6isr9rRymKTVnVmvjIf9Vgb9WYCFJnXlZFP9S2p/ItS7roPQqxZ4\nvrQHzPSwmfWgHXtZqjOzrysbOwuP7wmGQlH5v7THzOXKCaneecLHGFaP4VyzvYu2Dy22PzfbvrEf\n1/szY9/4Z5Nls64DIumy03VnOtZ0HyxVl1kOQyDuJjTr3WzDtqMw7u2Lu/l84/pnutzsPO1j6nLp\n643DGTiAnGNejyIfW3hNEb7qN74AtJfN7kcAIEX8mhMWrkT/YZa5zr7G2PmZ/dXsl5wbvrccpJMH\nuAOnkJwd2VbYl5GW5FMNtNmgra6uDnV1danb0qbPagYOHBjOGC2Vh03fvn3pLhtBEARBEJ8b2nwi\nAkEQBEEQRCWQxi+7tDSfaoAGbQRBEARBVCVCSrBKyHWrZNRGPxhPEARBEARRBdCdNoIgCIIgqpJ9\n6bdH2wIatBEEQRAEUZXsb4M2ejxKEARBEARRBdCdNhvDKaXWRdzbxhxIxiEZgxAy9P1EPqfA7YP4\niNh0Nmm1W9YvP0jtZkPkjCr6yuXkBX6mIhgAAeErD1JDUaDRF/B8gcaiQIMvIIRyt+3x/MDrFr1M\ntKPJCbxBsRczXE/BOpB0NEUeuEh0qD1SBV8kju8LiUJRhLH4QqJoLNvoGHOcIZ/jyOc4HGM573C4\nnKEm56Amp5bb5XiwzNEux+E6DC7nYEz5rhwuQ4+Swxgkk4EHikXnCRI+GAB1QjhjYI6rXGRSgDEO\nGbqNLB9Z7KRmSICC9sXK8S2luZREmv9MxvezCdqzKiqLO804h6P3yXKe6c9JYxt4JMHS4Wo3FAMg\nGRD0k7DlGG45FjjvQgeV7XNDVKcJp53pneNOtOzkwHgOUqfxHIphv1Iuw8jJFnm5tJ8NiHxcurk7\nSLrBzL6gFwUASBk6ByO/V9z9ppyLCJ1xvgA8ofqwL2XoX2wsKkmiJ1SazsvP/PI0g+9LOEyiCNV3\nTc+iGbPtaXQsv5sb7OBy1Yc8oZbBZeAgi7vWOHi0jub51rJ/CyeoR+h6jNJCF6W5X0lHpJVnxs76\nWhfVj+mXC1IM7xqgryVmOgNHcK0IXGxMRB425hdDBxvTbrbgxYz+UfLaYpbF7LOMJb1qhpsxSk+5\ndxP0SZl2TQk/50Dm8qpvOf+XGVNro/5e7hs/Y9UW0KCNIAiCIIiqhB6PEgRBEARBEPscdKeNIAiC\nIIiqRMoK3WmrksejdKeNIAiCIAiiCqA7bQRBEARBVCVCyOTsks+aTxVAgzaCIAiCIKqS/e23R+nx\nKEEQBEEQRBVAd9oslC+qGLmjDCcOC/xPjHOA58B5Dq52QDk5iMDjo51L+m6r9jIJ638EIrAORQ4n\ntV37zXwJFA13U73no95TLrZ6z8enBR+eL/B/no/d9R4+bSiisSjwaWMRewpF+EKivuDHfGhSSLAM\nL1tN6D+L3GfmNnPfLEwPW2NwXO1pKxQFCkUfjUURxlQoCkih3G5ZXyhlnIUuJ8fwszmcoUPeQT7n\nwOEM7V0HHfIO2ucd5HMc7fMO2rsOODOdbSxwT/HA1cbCNIcHnqrATafqKIrDdtOF5zH2XzQevvsp\nOiXH+m+SdlipTxjLMZdV5MEC4m4wxpPOKLWcjCgWc/AujScLUipnmZTqUYHtE4vvq/MRVo5W+UK3\nFQvKyo3y1MBhLCyD40aOKyf0frGY78ssW7r7TPcf1Q+lBPyCdrEVY2VSUctErPoYnMXdYeb51+dc\nQrnTpNT9PnAVSomGogg8ayL0rXm+gJAy5lvzhHIqRv1exvyFts/Q9hia66X6ZinMzzXX22ium343\n2/em1hF9Ruu+Qh9augPSrnMAJfx0yXx0vzb7ExDvI1mkHSbWF8PyIHQ+upxFLkgmkeMMDncCv1og\ny9OONt8L/+aw4O8OhB93FQofUkT9ywyJ8ciZhsCLKHkucrTxXPD3Ka+8ak58XfsLJWNB/04W2PYQ\n6l1Ct6AEdvu7m67MVsL6M92ifKoBGrQRBEEQBFGVSEPo3tJ8qoH/3969R0lR3vkff9ele2aaQS4J\nq+w5C0NEWKISQJT1BgYlKJPD1Y3EgLpHo54cIDlGMEEiAVGjq7nsBZcgu3GTiAZdBwSPitHgxhui\nu8svCAgOkKBCIFyH6e66PM/vj+qqru7pAZGeS+v3dc6crltXPfX0U93PVHV9Wi6PCiGEEEJUADnT\nJoQQQoiKpMt092il/CKCdNqEEEIIUZE+a502uTwqhBBCCFEB5EybEEIIISqS0hqjLDltlXGmTTpt\nQgghhKhIn7XLo9JpOxEjuIKsDRMsO8i3MUy0lcDDzOeoeQrPD/Og8rlRUJj1ZJkGJrH8qYI8LlAY\nGGhMjIIsItcPcp+aXZ+MpziScTmYdkk7PoeaXQ4cczjU7OB4inTGw3N9tCL3qFvk7+RzvgwM08DM\nZaEZZpC3FGajhcOlMptCdmzYK8qTiv8V57H5no7+u1G5+eGBUyovKCx3WGYAyzKjMpuWiZXLZ2st\ndy5pm7ncJKNkNlVrGVjF08vluJlYub+kHbTBhGlihW3FLMqTO0HmlB/LNPNjt8i7Kp8LFs/OC18z\nxwvCi7yifDDLNKLXPVmUnRcfDsucsMxTyvMK8/OgMDeqOPeulOKcqXjuXThumfksuGBaYe5dKJ+1\naKB0kMXo+EFOW8ZTNDkeR3P5iU2Oz+Gsi+MpDje7HGp2acp6OJ7P0YxH2vGDevbUCX/02igqiGG0\nfMHNEhltRok2Hh+OHwcnOqaBFnlx8fF4+YuzIMP2EByTQZaiZQTTU7njNcxXTNomlpHLTyyRBddi\nv1sJXIuOFSO/j+F6Wnte+L4TZuaF+9ZaflnYdsPMxyrLJGEF7T5pB9NtM9hmwjSwrSCbMJFMYZsG\ntkEun80PHsPMNj83rHWQ6dZKiJgm99kUVHruAyX2mWXG5wV/OhyOVqIwCJ5r5tp1uO583mHQ1ovz\nEN1cGzjq+CXLJ8pPOm1CCCGEqEwn+IfnZNZTCaTTJoQQQoiKVK4fjEfpirgzsxLKKIQQQgjxmSdn\n2oQQQghRkbSmPJc2K+PqqHTahBBCCFGZynX3aFnW0Q7k8qgQQgghRAVo9zNtTzzxBPfddx8zZ87k\nxhtvBGDXrl0sXLiQ3bt3AzBixAjmzp1LdXV1wXM3bNjAvHnzCqYdPHiQyy+/nHvvvZePPvqIBQsW\nsGPHDkzT5IILLuB73/seNTU1H7+AWgW3W8dvwdYqiOwoumXaMi2Slh1MN220Hbu9OrcuoGA9KJUb\n1/llolu2DbRpg51EmzbarsLFxFeatGdxzLVpdoPYj4NJiyrbotn1sUwjd/u9oulgiWoAACAASURB\nVNnxcTyF8lV0O77SGpWLbvB9FW1Wxf6zKHW7fnh7fXAnuYFlm0E8SCx2Ix4VEorfll+4jdxjLOYj\nLh7lEf9vIr6+MOog3F6+jLnIDk/RrDSGaZAuijKwSsQFACWjC8KyFUcxKKULy5Pb/1JlKbW94uiQ\nE931VBzZUBzREI/eON5+xrfrK10yxqFU+YrXGY9LsXJxAlHUh2GULFNr8SqtlbV4WnEZonXGoiDC\nSJEgbiEXw2CZVNtmNF5tm1TZJsrQWITlDaI+SkXxFCt1BaZ4WsIKtmMZYWREAjehSOaiaJoyHo6n\n6Fbjk3Z9HM+PjtkwaiUejQNEUTjFx0s8BaK1Y6qU8JgForicYDj32EqERjx8NIrmiW0vvh5DBe8N\nPoXtNIz/SFpBm0klrYKoj2rbotoufC2j19YMpsWjYCAfB9NaFExrkSD5SI98FI7rB/EeYZRFFPWh\nWsYQKR20I3L7GDZbK1a2qL6CVeAr0EYQEeNr8AwAC8uyMayqqLxhkQtCY8PPk4IXXhV8lkTzih+j\nZVUUP5V/Ew0+w4xcXIhp2mjDyK02rIdgH9xcxJXO1ZGTG894pSNJ2oPSZTrTViF3j7brmbYFCxbw\n2muv8YUvfKFg+qxZsxgxYgTPP/88Tz/9NO+++y7Lli1r8fzhw4fz3HPPRX8rV66kR48eTJ06FYB5\n8+ZRV1fH888/z8qVK9m5cyf/+q//2i77JoQQQoj2pZVftr9K0K6dtvr6en72s5/RpUuXaJrv+9x8\n881MmzYNgFQqxfDhw9m+ffsJ17d48WJGjBjB4MGDAdiyZQsXX3wxAMlkkhEjRrBt27Y22BMhhBBC\niPbVrp224cOHt5hmWRb19fWkUikAdu/ezcsvv8wVV1xx3HXt37+fxx9/nBkzZkTTRo4cybPPPovn\neRw7dozf//73XHrppeXdCSGEEEJ0DkqV5yyb6rhLvCej09yIcODAAcaMGcO4ceO48sorGTdu3HGX\nX7ZsGePHj6dXr17RtNmzZ/OHP/yBCy64gL/7u7+jtraWr33ta21ddCGEEEJ0ALk82kF69uzJ2rVr\nWbduHVu3bmX+/PmtLuv7Pg0NDUycOLFg+q233soVV1zBW2+9xdtvv80ZZ5zBd7/73bYuuhBCCCFE\nm+vwTtuRI0dYsWJFdGdSjx49+Pu//3teeumlVp+zfv16kskkZ599djTtwIED/N///R9f+9rXsCyL\nZDLJ+PHj+f3vf9/m+yCEEEKI9qeVj/bL8Cdn2j6eRCLBgw8+yFNPPQUEZ9FefPFFvvjFL7b6nHfe\neYf+/fsXTOvRowe9evXi+eefB4Jbkn/729/yt3/7t21XeCGEEEJ0GF2m77TpCvlOW7vltPm+T319\nPQAfffQR27dvZ8WKFYwZM4af//zn3HfffSxevBjTNBk4cCALFy4EYO3atTz11FP827/9W7SuvXv3\nFnyXDYJsoYcffpgHHniA5cuXA1BXV8f9999/kgV1Mdw0KA/TSaOdNDqbBs9Fey7ac4IvProOhC+0\n8guHIRj3Y19uLNWLNy0wTYxEEkwLI1mNkazGrOmCaScwupxGoror2k7QpaorPWu6kUklcXxNU5cE\nR50gs+3Px6rY383hz0ezNGU8/nLM4UBTlmbHp6nZxc36eK4fZbSFj5DPgIJ8DpGpgiQfHctdCiK5\ngudZtomhDUxloMO8Np3Pa4tnmVm2edwcs+K/eA5Y0raAXA6Y0XKZcB2hcLhU7lj46BVlsvk6Nly0\nbDBc+kAOM8qKt30qSu2LZZSYVrQt2zQKctegaH900T63sn/hPhW8JrF6rwrz2I7z12I/ijKy4vVd\n/Fi6/ltmJ7XIa4v9JUwzyvJKmAbNVpDTFszL7UOUAWZGeV9hNpaZT7FCEWb1EcvvUmQ8hesHOVVZ\nzyfrKXwNWc8n4yvSjo+vdEH2WpiNF9+fMJustjpRcj9PNM1XqqDOitu2E2YzlsgebI1hGAXHaZir\nVtwGkrbVIm8tXC7MXau2TEzToNoysa0gu67KtkiYRlEWm4llEj1audfCMiCRy5QL5geZfFFGn/aD\nXDLfxfCz4Hv58Vw2puEF79NGmJPpuwXv2UDwPn0ChmVB0SEevL/nRjL59/nojE2uM0F8PL6tUz2z\nU/R8rVTBLzEZ4XuUaQWfL5YFdiKYZyeCzxsr+NzBSqCtJFgW2koGw6aFbeeHtZXE1Qaur/G1geFr\nNArQrWbhifJrt06bZVk899xzrc5//PHHS04fM2YMY8aMKZgWduiKnXvuufzyl7/85IUUQgghRMUo\n200EFXJ5VH57VAghhBAV6bPWaevw77QJIYQQQogTkzNtQgghhKhIWqvynGnTciOCEEIIIUSbkcuj\nQgghhBCi05EzbUIIIYSoSFopVBnOkpmS01aZwjwfw/fAy6LTx1DNR9Cui84cC/5cF+VkUI6Hn3FQ\nvo9yveDPV+jwL9cIdCwXzbBMDNPEsHKZWEkbqzqJYZrYNVVY1UnM6hRGVQ1mqitml9MwktVYp/XE\ncI5RU9WVmkQ1XbrU0iXh4/gWp1XZfD6V4POpJM2uz/5mh31HshzNeBw45vCXpixNzS7KVzi5zDbl\nKXxf4XtBuXQs/ynMa8PP57YpgtwmwzRQvsbInaMNc53CeaYRGzbz2W2maaC1gWXls8BK5T9Zphnl\nPyVtM8pkS9rB8+LPCddzPKXywI73WOq5n0Rx5lpxeVvNODOMKPPIMoJ6C6dZuVWasXW3lo+kirK4\nVNG++JpofdG6cusNt2Ua+XKZudwzyzQwjXw5w4yz4vF4sczigKuwTLEcNBXltwXDYZ6b0jqaFpRb\nE+5K+PoEy5feb1/paB9cpfHdXNZgWJdG6XbkKx2t1/UVbm486wXZiGnXx/EUTRmPoxkPJ5fPdjTj\nFuaz5bLSSmWjxfMLjVbaS3HZjpfVF/6FUkmrxTZDxbl+divbCI9HoOCYDDPmapJWdHzGc9mqbJMq\n28pls5lRLlt17vgN8teC7DXbNDBz27MLstjANsi9H7sYvgOek89i8zLBsBfM05ljQbK9k0E5GbTr\nguegnUyQYZbL21Sei/ZV8H7tBG+Avuu2eN8O38uh8D28OIQ1Pu9EPu6y4efDieaFWWzhNMMyMWOf\nMeHnjZVMYCZszKQdzEtWYySS+by2qpogr800g5zQWHabthNg2mi7CjNRTdKuBsvCtW2yvoGrNAcS\nHXfRrlyXR+UXEYQQQgghRNnImTYhhBBCVCSty3SmTZfnTNvSpUt58sknUUrRu3dvFi1aRJ8+fUou\n++ijj/Loo49iGAZ1dXX86Ec/avFrT8XkTJsQQgghKlJwWbscPxp/6t9pe/nll/n1r3/NY489xtq1\na7nkkku47bbbSi67du1a/vM//5MnnniCF198kQEDBrBmzZoTbkM6bUIIIYQQp6ihoYEJEybwuc99\nDoDp06ezefNmduzY0WLZxx9/nOnTp9OrVy8Mw+COO+7ghhtuOOE2pNMmhBBCiIoU3ohQjr9T1djY\nSF1dXTReU1PD6aefzvbt21ss++6775LJZJg2bRpf+cpX+P73v8+hQ4dOuA35TpsQQgghKlJ7f6dt\nzZo1LFy4sMX0rl27AlBVVVUwvbq6mubm5hbLHzlyhDfeeIOHH34Yy7L4zne+w913381DDz103O1L\np00IIYQQ4mOor6+nv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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Applying baseline correction (mode: logratio)\n" ] }, { "data": { "image/png": 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nffJsB1CWQEGsEFLI9OxRPw4nVlANpbN36Nuj1ZFOPlCjct3evXujd+/eGevr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x8ljyPwOALPXE8CjyMQPLeNZ17j6j8snLHMHRWrN3HLkdeSuNqafH2XEjWN1dO0BR4GBgKe4BgY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\n6WtLjmc8jVLx8fqSedPko4LBn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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from mne.time_frequency import tfr_morlet\n", "\n", "freqs = np.linspace(7, 90, num=50)\n", "tfr, itc = tfr_morlet(epochs['Low'], freqs=freqs, \n", " n_cycles=freqs/2, return_itc=True)\n", "tfr.plot(picks=[4], baseline=(-0.5, -0.1), mode='logratio', \n", " title='POz - Low spatial frequency');\n", "\n", "tfr, itc = tfr_morlet(epochs['High'], freqs=freqs, \n", " n_cycles=freqs/2, return_itc=True)\n", "tfr.plot(picks=[4], baseline=(-0.5, -0.1), mode='logratio', \n", " title='POz - High spatial frequency');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The time course of the trial is clearly seen from the Time-Frequency plot: \n", "\n", "1. The initial onset ERP produces a wide-band event right after `t=0`, visible in both conditions but especially in the high frequency condition;\n", "2. The 1.5-s presentation of the spatial grating induces high beta activity (starting around 29 Hz and decreasing to around 25 Hz) in the high frequency condition, and central beta activity (around 22 Hz) in the low frequency condition;\n", "3. The offset ERP again produces wide-band activity right after `t=1500 ms`, however of smaller amplitude than during the onset;\n", "4. Finally, alpha power resumes about 1 s after the offset in both conditions." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Importance of different frequencies\n", "\n", "We want to identify which EEG frequency bands significantly differ from one spatial frequency to another. To do so, we can train separate classifiers, each one using a different frequency as input. We can then look for bands that led to significantly different than zero performance. The activity in these bands is likely to be induced by high or low spatial frequency gratings.\n", "\n", "**NOTE**: The following code will take some time to run (probably at least 10 minutes depending on your hardware)." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "480 events found\n", "Events id: [1 2 3 4]\n", "Performing permutations : [98.0%]\n", "0.493793103448 0.52\n", "Performing permutations : [98.0%]\n", "0.491954022989 0.56\n", "Performing permutations : [98.0%]\n", "0.521149425287 0.48\n", "Performing permutations : [98.0%]\n", "0.564367816092 0.16\n", "Performing permutations : [98.0%]\n", "0.554022988506 0.12\n", "Performing permutations : [98.0%]\n", "0.570574712644 0.14\n", "Performing permutations : [98.0%]\n", "0.500459770115 0.42\n", "Performing permutations : [98.0%]\n", "0.548505747126 0.14\n", "Performing permutations : [98.0%]\n", "0.525747126437 0.36\n", "Performing permutations : [98.0%]\n", "0.534482758621 0.24\n", "Performing permutations : [98.0%]\n", "0.568735632184 0.1\n", "Performing permutations : [98.0%]\n", "0.566666666667 0.12\n", "Performing permutations : [98.0%]\n", "0.66367816092 0.02\n", "Performing permutations : [98.0%]\n", "0.698620689655 0.02\n", "Performing permutations : [98.0%]\n", "0.540459770115 0.22\n", "Performing permutations : [98.0%]\n", "0.501609195402 0.46\n", "Performing permutations : [98.0%]\n", "0.440689655172 0.78\n", "Performing permutations : [98.0%]\n", "0.43632183908 0.88\n", "Performing permutations : [98.0%]\n", "0.490574712644 0.6\n", "Performing permutations : [98.0%]\n", "0.554482758621 0.16\n", "Performing permutations : [98.0%]\n", "0.490804597701 0.5\n", "Performing permutations : [98.0%]\n", "0.477701149425 0.62\n", "Performing permutations : [98.0%]\n", "0.582068965517 0.04\n", "Performing permutations : [98.0%]\n", "0.551264367816 0.14\n", "Performing permutations : [98.0%]\n", "0.585747126437 0.1\n", "Performing permutations : [98.0%]\n", "0.629655172414 0.02\n", "Performing permutations : [98.0%]\n", "0.655172413793 0.02\n", "Performing permutations : [98.0%]\n", "0.569425287356 0.1\n", "Performing permutations : [98.0%]\n", "0.485517241379 0.54\n", "Performing permutations : [98.0%]\n", "0.56367816092 0.12\n", "Performing permutations : [98.0%]\n", "0.549885057471 0.26\n", "Performing permutations : [98.0%]\n", "0.468735632184 0.62\n", "Performing permutations : [98.0%]\n", "0.49908045977 0.52\n", "Performing permutations : [98.0%]\n", "0.42367816092 0.92\n", "Performing permutations : [98.0%]\n", "0.506896551724 0.38\n", "Performing permutations : [98.0%]\n", "0.479770114943 0.68\n", "Performing permutations : [98.0%]\n", "0.519540229885 0.34\n", "Performing permutations : [98.0%]\n", "0.431494252874 0.9\n", "Performing permutations : [98.0%]\n", "0.476091954023 0.62\n", "Performing permutations : [98.0%]\n", "0.474482758621 0.7\n" ] } ], "source": [ "from pyriemann.stats import PermutationDistance, PermutationModel\n", "from pyriemann.estimation import CospCovariances\n", "from pyriemann.spatialfilters import CSP\n", "from pyriemann.classification import TSclassifier, TangentSpace\n", "from sklearn.pipeline import make_pipeline\n", "from sklearn.linear_model import LogisticRegression\n", "from sklearn.preprocessing import StandardScaler\n", "from sklearn.model_selection import cross_val_score, StratifiedShuffleSplit\n", "from scipy.stats import ttest_1samp\n", "\n", "\n", "# pipe = make_pipeline(CSP(2), StandardScaler(), LogisticRegression())\n", "pipe = make_pipeline(TangentSpace('logeuclid'), LogisticRegression())\n", "\n", "# Extract epochs\n", "events = find_events(raw)\n", "event_id = {'Low': 1, 'High': 2}\n", "\n", "epochs = Epochs(raw, events=events, event_id=event_id, \n", " tmin=0.5, tmax=1.5, baseline=None,\n", " reject={'eeg': 100e-6}, preload=True, \n", " verbose=False, picks=[0, 1, 2, 3, 4])\n", "\n", "X = epochs.copy().pick_types(eeg=True, stim=False).get_data()\n", "y = epochs.events[:, 2]\n", "\n", "# Compute cospectral covariance matrices (see https://arxiv.org/pdf/0812.0494.pdf, p.17)\n", "fmin = 1.0\n", "fmax = 80\n", "win = 128\n", "cosp = CospCovariances(window=win, overlap=0.99, fmin=fmin, fmax=fmax,\n", " fs=epochs.info['sfreq'])\n", "covmats = cosp.fit_transform(1e6 * X)\n", "\n", "fr = np.fft.fftfreq(win)[0:int(win/2)] * epochs.info['sfreq']\n", "fr = fr[(fr >= fmin) & (fr <= fmax)]\n", "\n", "pv = []\n", "Fv = []\n", "# For each frequency bin, estimate the stats\n", "cv = StratifiedShuffleSplit(n_splits=5, test_size=0.25, random_state=42)\n", "\n", "for i in range(covmats.shape[3]):\n", " ptest = PermutationModel(50, model=pipe, cv=cv, n_jobs=-1, \n", " scoring='roc_auc')\n", " \n", " p, F = ptest.test(covmats[::1, :, :, i], y[::1]==np.max(y)) \n", " F = F[0] # the first value was obtained on the non-permuted data\n", " print(F, p)\n", " pv.append(p)\n", " Fv.append(F)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(,\n", " )" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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LLwFYsGCBqmOrQRoZRGslAZwQdsSWR2hVJxk4x5F/Mb/Gr4/tUjeQ+fTTT9Hr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\n+Pzzz5k9e7bdPIeAgAACAwONiVl+fj4nT56kX79+FBYWEhgYaDw2MDC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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot AUC across frequencies and significant regions\n", "utils.plot_highlight_regions(fr, Fv, pv, hue_thresh=0.05, xlabel='Frequency (Hz)', \n", " ylabel='AUC', legend_str=('AUC', 'p<0.05'))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We see that there are two frequency regions where there was a significant difference between the two task conditions: high beta and low gamma. This indicates that the two tasks indeed evoked different patterns of oscillatory activity." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.0" } }, "nbformat": 4, "nbformat_minor": 1 }