{ "metadata": { "name": "" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Tutorials given in book \"Time Series Analysis and Its Application with R\"\n", "- [book site](http://www.stat.pitt.edu/stoffer/tsa3/)" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%pylab inline\n", "%load_ext rmagic" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] } ], "prompt_number": 1 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Methodologies\n", "- why time series is special for traditional statistical modelling (because the adjacent observations are usually NOT i.i.d)\n", "- first step of any ts analysis always involves careful scrutiny of the\n", "recorded data plotted over time. This scrutiny often suggests the method of\n", "analysis (e.g. time domain vs frequqncy domain) as well as statistics that will be of use in summarizing the information\n", "in the data.\n", "- **time domain approach** assumes that the correlation between adjacent points in time is best explained in terms of a dependence of the current value on past values. So it usually models the future value of a ts as a *parametric* function of the current and past values from the same or other series. Examples are\n", " - ARIMA (autoregressive integrated moving average): its defining feature is that they are *multiplicative models, meaning that the observed data are assumed to result from products of factors involving differential or difference equation operators responding to a white noise input.*\n", " - Additive Models: the observed data are assumed to result from sums of series, each with a specified time series structure, e.g., in economics, assume a series is generated as the sum of trend, a seasonal effect and error. \n", " - State Space Model: essentially an additive model, using Kalman filters and smoothers.\n", "- **frequency domain approach** assumes the primary characteristics of interest in time series analyses relate to periodic or systematic sinusoidal variations found naturally in most data.*These periodic variations are often caused by biological, physical, or environmental phenomena of interest*. \n", " - Spectral Analysis: partition of the various kinds of periodic variation in a time series is accomplished by evaluating separately the variance associated with each periodicity of interest. This variance profile over frequency is called the power specturm. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Example Datasets - Nature of Time Series" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%%R\n", "library(\"astsa\")" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Johnson & Johnson Quarterly Earnings (trend + seasonal + noise)\n", "- 21 years quaterly data from 1960 to 1980\n", "- primary pattern: (1)gradually increasing underlying trend and (2) the rather regular variation superimposed on the trend that seems to repeat over quarters." ] }, { "cell_type": "code", "collapsed": false, "input": [ "%%R\n", "data(jj)\n", "plot(jj, type=\"o\", ylab=\"quarterly earnings per share\")" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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YdJeIgAiIgAgULwEUMF7PpUlFCjjbKOjqcEGTHkXVLmKTqM6FjBs3ztZaa62l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\ngAC2O1s6QwABBBBQLPAFXrRqbSlZIJcAAAAASUVORK5CYII=\n" } ], "prompt_number": 4 }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Global Warming (trend matters most)\n", "- global mean land-ocean temperature index from 1880 to 2009\n", "- primary pattern: an apparent upward trend during the latter part of the 20th century - the trend is of more interest than particular periodicities in this case. The variations in series is not obvious or regular on my observation" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%%R\n", "data(gtemp)\n", "plot.ts(gtemp, type=\"o\", ylab=\"Global Temperature Deviations\")" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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B0OjNe9NNN3mne48ePXLHiSIbL730km++8O677/p0IbRevixdu3ZV9ZTcEdeA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} ], "prompt_number": 5 }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Speech Data (finding signatures by spectral analysis)\n", "- .1 second (1000 point) sample of recorded speech from the phrase `aaa ... hhh`\n", "- repetitive nature of the sinal and the rather regular periodicities\n", "- Spectral analysis can be used to produce **signature** that will be compared with library to translate the signal into recorded phrase `aaa ... hhh`" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%%R\n", "data(speech)\n", "plot(speech, main = \"speech\")" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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peMHUC55w02vi7q3QxX/46s2HvV1sZukqwPjKRULaD3rrjq7HAoyvHnEpwN4D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\n8IONMF73utfNHXfccY3nJpE4GhjMnXbaa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} ], "prompt_number": 6 }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### New York Stock Exchange (financial time series data - constant mean, dynamic variability)\n", "- typcial return data (crash of October 19, 1987): the mean of the series appears to be stable with an average return of approximately zero, however, the volotility (or variability) of data changes over time.\n", "- the data also show volatility clustering: highly volatile periods tend to be clustered together. So a proble in the analysis of these type of financial data is to forecast the volatility of future returns by models such as ARCH and GARCH" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%%R\n", "data(nyse)\n", "plot(nyse, ylab = \"NYSE Returns\")" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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4j3UWzm9I3OwBYAh/8id/crXtwTcqrfS1RPHEJz5xte1qdXLMqTVlbr5BbIZn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\nCCCAAALxFSABxze21AwBBBBAwGKB/wEDyOJJOBIWRgAAAABJRU5ErkJggg==\n" } ], "prompt_number": 7 }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### El Nino & Fish Population (multiple time series)\n", "- monthly values of Southern Oscillation Index (SOI) and associated Recruitment (number of new fish)\n", "- both series exhibit repetitive behavior, with regularly repeating cycles that are easily visible. And the cycles of SOI are repeating at a faster rate than those of the Recuritment series\n", "- the main interest is to study the kinds of cycles and their strengths. and those two series seem to be related" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%%R\n", "data(soi)\n", "data(rec)\n", "par(mfrow = c(2, 1))\n", "plot(soi, main=\"Southern Oscillation Index\")\n", "plot(rec, main = \"Recruitment\")" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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zu0m98l34h2Ov6iCrFI/8/C7zeEkj4HXWWcetscYa42XX0fx8FIZXpMpGt8jP\nCBhsW70v/tnPftbttddeSRnJ32omIA6GZQGY/QV0BMdLcZnYdmoEjF1XmYrHDpktuvHGG1tOuSM7\nbb6sUzJe/caSH/3Btm5yjUWXuuexANzhGioLwIwIcewQveSYMHiNgPXKT5ym09cKwDjhsgDM5hQa\nJdNwuREw+f/xj3/4DxpoJNOrXjTYtZoiJEDws5dVCMcMNuMl+BB4+MBDqs7Hy388+QnAvGuLjDnS\nCLjMrpWXHf500lJEoCGAtQr24Wg0NwVNO2I03Qk84wBM+0PWmNCfr0KVzRaQhzV1ftBh66239h1R\n6r2MKKsTdlZWRrvPkIk2nsIh5sUHePgzGhsCFoDHhlsyF42ZHnSuQRFU9dEL0sUGzjX3acBMp154\n4YXJcjp5E0dG4MLBtArAyEZanFQ82uQah4nuc845pxexl6NgAnCMZ4wTv9YUOvj4eXhNoMjVY5gu\nd05eMIEPAbiO62n69nhZUFEApmOFrZQRdZAL1NQNOLQbgMFw7bXXHuHksUFsLbbBMtlyz2iz6iyS\nBhvPjYCrvE7G1PgiiyziDjzwQL8PgusyAhdwqxMhEwE4hUMoJ5sz+YQn0+i9IOShzqmzVrbYC3k6\nUcZQfQuaoMUP2qeInzjDAXST1EtONSiMhncNMWyIhh47EAyMNDR0XgtiR/LHPvaxborsDRkni8w4\nolgmCmcNmBEwxPPUCFhOkeCs78cqAPN9624TAQ8ZcgS2f/7zn3OPR90fbwBmupb9AJtttpm3Oznm\nUQX18cbPf/5zt/POO7v/+7//y0qBbei1uVZODxsiUKcIpz6WETB1ykg9DNy0pU5sDENOeIWdMnUy\nYx3Qq8oImHrmYzsQMwKMiN/5znfG7JrX2GXKXzQT9OEEmcChlVy33HKL22KLLXq2VsyGtbvvvtux\n4XLChAm+Y9YHeDpa5FCNgNlQ8u53vzv5x+5jBb+OIhgwUyNNGW44/UwWZMEphSTD5x7y5jZzhXnG\ne46sOLmyTVgauSMzadEl1lGBOQzAuY8ajFfmVH6NOFPPuMfO9IUXXjjZwUjlIfBQH2MlHC8yETjo\nULUaCY21nLHmI6gxPYqdEYREZ599tvvNb36jS/+MwEmdtyL0zY2AsY9WARjMw2CoKWjuh50r5IVX\nqrPYSsb4eSoAx+2SPOjVagT8yU9+0u/tiANwXGZ4TVngVidSW07hEMrJd+Gxn1ydh2k7cU5bYnc2\ntjAs31YfqhEwO/f4S9H111/ve9KpZ526VxaAww1YlEcPEwNn1HnVVVf5HZ04fAIYpN6zv+jSPxo+\n5eHgMG6cX+joVCx6EUx5RuPkC0X8fFvovNRo0QtHBWkELD7dPKJLmUOmwTISQdcqRIdkPI6RgEt+\nMFJnqhNrllVkJw3T7WxU2nLLLZNZ+DTk8ssv7wNZOAX9ox/9yE+d8t43BF4EO+w3DI4ppnTKcs4Y\nWx/LFDQ2JxtVmbK7svpW2lZH8VI6ykp1vNBriSWW8B1VOiMsJcUzAuBDu9USDDM/rTpe4BJ3ZiVL\nv47oT2c7hUMoEwF42WWXzb52GabtxDk+ijKZ4v/DH/7QCZZ95zFUI+B+o0mgwsmkGpRGkZIRA8eB\nrLbaas2ROQavT+LRmPkudOgclZdpmE44c+QkYOJky0bAOEHS8YfMHHFGvOsoIg0jFuTXFDSBp1fv\nAoNdWY+dxksgqRqAcczjCcDhCBjnzWxGyi6EX6ePjGLLfhADHOj8YWdgI8IOqEsROIAbX0KLA47S\n6AheuU1H1A18wrKUT8c4GGJPKp+jSPfGG4APPfRQ/+542LGQjassjugFXhoBc8177iHRwSMonH/+\n+W711Vf3jyR/mC4+B5fx2FnMr9U1v3l88sknlyZDJnDI2StY4H/o5NHG8XudoGOOOSbbYYQ/5VDn\n/Oxp7lsLnZCjlzwsAHcQbRwtwSfVc8QxaQMWRWLgGDp/ckrk475IIydd60iQIwCOl1QeDg3Hm1oD\nJo1G5cimEQnvMrMJQ0TDoFPBB+vVcFk3ZspovIRjK1tHBg/KB8scoR8OtGoApk6kR45n2f1wBLzU\nUks5NjyVyVfGayzPqKcwkMY80I911DgoYgthPvAiHaO+VgFYNpDCGN1bjYDJHwZDAhj1hoxxACad\n2hCjzqlj+OoaS1bsbwjLhGfcfpGBUS1ycI4uBCDZB/ryU5y80sWrawsttJCHm3bTqs55Lj5xHXXj\nmtcJ1cnP8UcmsM/JTj2x1IcNgUunAjAzZmCYI2yQ5+zcp4Mb2mkuT93vWwDuYA1hiBhuqkExggg3\ngdHQMWTShgFYwQ6xcgEYB0FeevD8VNxYibKRl/IJnpzDNyQaIbJCpMHokXGZZZYZ0QslH88Z8W61\n1VY+PWthrabgfMIW/3BwIXZhcjo9WtulA5FrlO0GYBz+WEcm4AoO5IcPjhvMUnYR6sJ5qsyx7KCm\nPnIOlHIU2OLNTNhCaANgj/zo02rWhXw45NQomGeMWnL1g0zMEug9ea6xR9V9KgBjb/AlgLbqHMAv\nJvKAQ9jmOI9xQx9wohzhg2xKxz1+1vOoo44aUUSVOodHqs5DRtR/qzSkByP0KSP40OkoI3XM446I\n8lCHYM/yBp1a2mAniPLK7AMb/OUvf+k7gywnhQOATpTfDx4WgDuIelkA5pnWRikSA6bxjSUA45QY\nTfP+3Vics1SmbIIrjRYHI4em5xxxcGEA5poeNM4o7PmqUYZ5OxWAcSzCKuTPOT1hes48JwCDTYrQ\nkSCeex7noUycFe8Os4O+HcLBMSoDE5wTWIEhMpYRuzvB9rHHHhuRjA87tPuuJWWXOTOChuocx4ct\noC8yhvnAAVwJJjmHLGGxDQJoKgDDl++DsxcjRwRgOp0iykXOuN6oQzDFXjmvEujYsbv//vuLtT/C\nmxGh1my5qXYZJlTbRQ7ZIrKhL8SRZ7w+GFIVzMClVcdsgw02cA8++GDIOnnOBrovf/nLyWe6SVmt\nNtQhEzjkgj76MqtzyCGHeJ8W+gGVM5Yj5YJvjvB1yH7CCSc4fqiDfQyiddddV6cDdbQAXKG6tt12\n20q9PBo0hptqUDglrY1SpBwyTk1GxzmNVoQzS/UucToEHRxWWY+Xz+GVvWKi8iifgI7sciqSgWvu\nQxxxzsgY93zDdMrbqY1k6Ii+qYYOBozQKB+nHAYPycERHuBfFoCpN43YqUvwYZ2b2Yt2iPQ4dcqC\nD/IRWOGXIkaW/OgA9fX//t//c7/97W+byXBKjNTQ6+KLL/YzHqRnF3MZkT6uyzA9eCAXxBE5sTUw\nkj3yTLYGDjn5SQdRJjabwgs9sDE27TB7Epbxn9z/GQGHARh7Ix3yhek5VwBGbsqEfxl9/etfHyUX\neb/yla+MeJ0lFTQVgFlSwT4oC9lUZsr2kQVeSpOSDXsLp7JTabiHvmV8lA99+CsjgmqrTjtl4Z/k\no2J+1DMzABB+INUu4zxVrik31z7VkdX0OR0A7UEBf85zeauU3a80FoArIE8Db+XwYENDodGlArAa\nsYqjAWM4ODU5FwyQ/CKMDWOPiXs4M0ZaqQCt9JMnT3Z33XWXO/HEE5POk7Ipj2mdM844IxmAkQlZ\nRcjEHz3+sGxkYlQQEo0TR4+TSTnlMG3ZOeVQB6mRVRiAKT+FF7xxTPFIKiyTxnvQQQf5zTVMbeGo\n0JP77U5vqrMFttQ7AQRnlgtg7CrHZujRs9YdYsU5dQ2OrKcTMBgRyWZCHcJzbIu/HIEHI2BIAQ6c\nCcChE0d/cOUPW0gRO1OpY8ojDbLGxH0w+NznPud/K1odnTBdPALmGRgSbKUv67ZMZXMPfkxLYhs5\nbOFxxRVX+LpX0OAehJ7wCSkVdKhDbEdLQmoTwgO9wzYifsie8gV6Tj5kKpOdtOheVpfiB+7CSffi\nI/KAcxmhF7Jj/ynZsAlhCX60uTI9y8oKn1FuTn5GvnTCRbQZ7A6ibPAP7Vbp6n60AFyhhmj0VQKw\nGmLKaOMATENXA1QgIx/3RRiVGrnucaQB4HRwPsobPtc5AZo0/LBAyjgxXBoZ5dDgOMYNnfJDmdQw\nwwAMH3Zs44Rjgh8/5JDCJE6bu0bHshEwgYRyygIwPOgQgB1yxqMApkbZ4MG6OtO96AcepM8FYEaq\nqd88VgDGOSkAg1sOA/BDHoIfo6w4AKM79Uc6PnGI80nVZ4gfTjFlO0qDsybwQtgAaZGVkTvTnapL\nyiEdaSg/ReQFO8qkA5Eql/rBjrATBXw6OuFoPxWAqQNwpB4on93H8OIez3DM4JYqE1nJx0dRmFmI\nO2c4e3VCpBcyxrxkO5rRoXwCEEeII7LEVFbnytcqACOj9I/5x9fUVSu7wAZztvH73//e3XPPPd5O\nwQH5U3Uu/VV+PBum+1WPtD3aDLhTXyniOR1REfIJf3QCx1zwVp46Hi0AV6gVAvARRxzhdt9999LU\nGFDOaDEgDFWEAdEQaFw4Q0ZcOD05PtKlnAH3yYfTwSAJsDkiAOOgNB0ap8Nwcayi0KnoHjohhwj9\nkBFdcNhQzgHxjHW3RYr39tRYuNcugQ8dDpUX5mcNGIcO/7IAjGOSo0Ce2BmDA7oRANl1Db7ojUPI\nrYWxBjZp0qRQHH+uACynQB3nAhjBnaDEUgHTapRLfpFGwDgX/tjso4CsNKkjaQkuOacEHgo+sjMC\nDeWDIzt5cb4ERTk+8El1IqgfeIEVgSgOYMjHPQUp0lL+Nddc46fdeY6eCqpciyhTevDaC3JhB8gI\nP+yffKky4UE65OIY22CIQVhezIvysJ2xBOCYl8rhiDytAjDYUie5wBTyI22rdPIdqVEwNvid73zH\nY4lN5OobHsgtwh5Dm9X9qscvfOELjuAPVjl7xY+F/pO6V32Sj2vqc9DIAnCFGiMAE8TCQKRsTAfe\ncccd/hKDIE2q10gjpiGFhFNWAI6DIeloAKkGTCMj6DAlFo/kxB9DxrkToCiXd0L33HNPPfZH5KQM\nEY0qDkzoJMdJOvRTsOJI+rhBih/Hj3zkIx47NZbwWdVzAkMuAKM/o1X4y9mm+OKcSIfOONK4ofMc\nTGnkBEQwQ1cadSoAM0okXarRKwCTP3RUXMf1idzYACNHysTO4hGwpqCpd9Lylyo31Bv9NNIM7zP1\nCx/pyzM5WuGM/HREONKJ41zpYvmxL9k2ZaJvnIa83EN/CPlln+SFUqNf7iObAjDrfMymIBc8FICp\n91SZ5IewT9LHtg2G8A4JGeNOhgIw5fEHfmGZcRsRP2RP+QI9R2bwisvTc47IiN1SZisC01Z2AR9m\nEcAwJvwFNqC6Qv4UrnF7BxPKHithi/zBF/xTvoI2QdsQUabqE4zBsZXuylunowXgCrWBwTI1k2pM\nGIGcCIajRsd3gI888sgmdww+7MHxgLQ0ZIwP3lyHhJGlGgCNCIPDMRMEU8bPlDmjBY6USyOWwaoM\nyiS/iJEtQSXUE53kOEnHOWkgeNJgcw7IJyr+oUeqUel5qyNl5HrZNEw5Q465chRw0BdeMWY0Xpw0\nQZCgTsBHVzBLTUHzW84bbrhhc9NWqAMyKYATBEWUjbNlLXfzzTf3t6lf5CbQUWYqAGvEi8zICM9W\nzoa0pIsdN50wvnZFfgUf7A65wBm5kZ/OHaMO7iEXBB5xsOBHB5hGRm54Vg3ApKVjQ71AYK5POPob\n//2H7aAzeiCPdtZzj2eMgMEvlivkQR2SPrZ/ZOB+SOgYtznaN7YO0XkjX9g24YveMQnX+L6usVXy\nlckO/rTf2F7FIzyCZVzf4XPOKRNdUvyoD8pDHmTnL/QF4oW+6C+SXeu6nSPy4HfAGL7oKpsI+aQC\nsNo68iIP9TJoZAG4Qo3R6JgeTBkGRiNjxiBowBgtzoJNNTRmflCBY9zYMXCcB0bPc/KGlHIGPKeR\nsZP03HPP9cGEsmLCyfPCOo4No8Y4Y8eihhbmxZBl2NwnT9jYkFlBWwGYNCkHJL4hT7ChwaWmwJSe\nI50X4aEgoI5OmA4sFHjBl2u+yUuekLhGXuQnyMSNlWsCFliBJwFFDijlhPjRj7XWWisZgOlskR/5\nkU3ENZgjI1NuEFgjN3gQaOMADC8CIDYmXQmcsfwqQ0fSk448IYEhf9iyOgfoSR2CkQIwNo9Mmn6G\nB+mQPybNQtBRydms2gZ50Rf5wgBMIFWQC/lTptJTNjJj29zDrqgrzmPbFg9hhn3SVkMSRuG9lPzg\ngl1AdEzADn5qJxzDNiJ+Obz0nHytAjD1TNlxPYpHeKReSRvbvtIICzBM+TLqDx5gCQ45+cExtGv8\nQaqNqNyyI4FV+x6QD9lSth0H4BB/5AV/6nPQyAJwhRoj+F5yySV+ZICREkA0hRMHYBktzgWjwWnc\neuutSQeB4eI8aAykU2CTSPBKOZawAeRGhsiH88Sp0SgxzpgXZVJGSGGw5L4ao9LQMOMRMA6YwJGj\nkCdfhHrf+96XDFxhfr709aEPfcjxCygKTsI8TCengjMDS65Zl5VzJC3nyAy+/BFk4sZKoydg8Qx9\nCHqqn9i58Jw/TYfGz+UI0RuZRKFtKBggG85MI2AFQOXBhriHjUjXqgEYZxbrCR9wlL6UQ51iCzzD\nnpBfO341/Uw6yc+5iLZA8MTGwAteIfZKJyfJNfIjF7gpWMQOVvngp/TIKKw4gi+/gFYlAFP/yKq6\nAv/QllVeSkfwog4g8EB2AoDaE/oiS0wpXmEa8pUFYH6tih3frQIwGKIbvgk5hWlYFueyH/BKBTl1\niNTmkV86hrzADrlFpBOuulf1SL3jpzjCF3+Vki22D+pOslE28sS2XlWGfqazAFwRfQyDCsYQ+Awj\n721CGIEMhgaFYWAQ/OGYSE8DZgNJTBguDRceOBfyhqRn4T3OaUhqAHwCL/VFGGTBISKDHDZlhISM\npAmJMskr4jx0LqHTwjHgrClD05TKFx5DnuwwZhdv6jWUMA/lgitT+fyMII0z5VjkVMAQp0wanKQa\n53XXXefL0ugKfdUhCcujLHDiGaMqBWB4glNIjMCYCsXpURbroCFR5zhC6jcVgOEn+TiSBh44ongE\nDC9kQj7sj7Sqz7BMzvlGOEslEGkJwOAjolyu1ZGRvcnRUpfgBIaMgJEpDMCkl9ziidMHL/LBhzSx\nnZGWfCoPHZBPDp/n6JnqxJFH6dVG6MSp7SAfeKTKhG/YVqhL4aH6Jk1IKR2FC+nk6EObjtuI+CFj\nTi7SkA9+uTT33nuvf/eb+pfc4h0eqS86g9gjaZE3RcIiN8qkPshLXSE7f7Htw5e2GPoE2lQqXUqG\n+B71Th1yxCawIzqCMaXsA+yQBfyQhzodNLIA3EaN4SAINowOeGeUL/tgMDJ4GpSMFoPEaHB2fJrx\n4YcfHlUSaTEcHAiNg+uQUs6A5xgdzgQKX0j3N/77Tw5P75Zi3MgXEobbKgCLj/Ltsccezd83lbPG\nATNyylHorAjAfDqyagCGJw6XLxalGhh6gQWYMCrlOnTIp59+uvvJT37i6wleYIyTIl1IcsgETo2A\nSUsjj50LI3JsACJQMXoNiTrHVhQ89Ax+YA6m8KU+OEd+jYCpj9AJMXKjfOSTrrkAfO2117of/OAH\nvjjhEOqJPSI3PxyAExYhJ3LhyLnPtToWVaagkR1M0S9ns+gqpy35Cd6UCaUcLPf5vWK+ekT9yhaR\nlQ/yww97QubYtskL0a4I4BDp4QOBp+77G//9l5IfDKkTCNnhofrjXqgb1yLVt67jI/ogE/qI2Nwn\neyKgUlcpe1V6jgQs6gtbKQvAyI2tCf+QB+cEYOwPfcAhJz/P0V+US6fnZUfqXQEY+ZA/1c5T9gF2\nyKL2lMpXVnYdnlkAbqMWNDrBiWHsNHwMRk5EhovD5Jz0BCfSpEgOC6eP8XEdEtcYV0w4FQXg+EcR\nKI88/NGIINJinGFD5z5yxmWShu+ssnnry1/+sv8Mo/iQZ5tttmn+MAINGefUzgiYYLpI8RpQ1QCM\nU1h33XW9DiksKB9nwDNGAbycj2NVWvThuZwtr/HQ4MPAhF44MfTB0YIhdYczArsYtzAAsxbPJyRD\nwh6oUxyEyuW56hPZKIt6xE5Io2l20lGmRgHoo/pTMMk5UOQkDYR+2GeoJ3rRYeAYfjZRclEm+m+/\n/fZ+p+xZZ53lsfIMi3+ki7EgSNBhwcZ5jq2gU0jYGen4g9AXueBFOyJ9ysGSdtNNN/X7HWS/YYeR\nc2ESy0VeSMGS8zBoUj44xiQswvvIp3KRHVmoE9lYWEaYL4UXz8GZmSv4IlMoO59ZvPLKK5tsqH/q\nRPXafBCcwA+5Nt54Y293sp0giT+Fh9pCKlihD3ZLOgVg6RjyivXN6RnmSZ0jA7aoKWjKxY5Cm1U+\ndWp1zRFdkAX7oq2ldArT1/G8dgEYY6RS6kg4ZYINvdIbbrjBN6AwAGOsGKMCMI6e3ixGnSIaNYYO\nDwyMvCFhVKkGgKHiACCmc3HeGCL00Y9+1H/ZinwKnHLgsWME67hMZOejCnxXloaAvsiRove85z1+\nvZX6qjoCJgCzO1vTtmxQ4zu9MSErevL3jW98Y4TDI+2Pf/xjxw5cHLgcK3xZGsAZyakRwGmYcrb7\n7rtvMgDLIVNX6lBQP2AnXpIR2QlkED89x5fEQoIXMoE/sohkG9SNnIfOFfxIC96qK4I52KIDfOHX\nKgCTF9lJB34i9KLziFNn5kQkuZCBoM3XttCZ96H5DKuIdMi7zjrrjOhAUf8ECdlzjBd5QhuS/MgJ\n3swgpRxsWC48+ZNN6xm2Krl0LzyCmdqKMOc599E1JviXyY/s4BS2TfQI9RNP5Ip58Yy2is7kQ6Yw\nDZ0U2gjEfXwO8of1yDNmD5QPG+G3nT/zmc94+9CAgHQhUS680DsVrKgnygMbcJBdhDw4hw9yi6h3\n/Ea7dOGFF7qjjz7at0dsk7aMfadkS3XQ1E7AAXmQe9BoVADm57Ruuukmd+yxx/oft9eP3Ot4wAEH\ndFxHDJEvEOFAAZUeEUbCj4Kz07cupADMKyRMfWE0YQBGDxktRqoATL4UkRZ9cUKpAEwjoFHEFDcA\nDFfpMEYcBNfwh2h0GKcarPjRaGg8IeHsL7jgAv9tVdLTmFPOhTw4YhwB0+tVAjBrlFOmTPHTyYyA\n0YN1rqlTp4Yi+HPkpTEqgKmxKSGNlLVhdNMz7Ade5BEe6IgOobPledxY4YdzpSFTj9QJ2MA/di7h\nCBgbZbaA6V+cCUR+ZCI4hCNN1Se4IgP6k5Yjo3eR9OGauiRoooOcngKY0uuInOq0wD/Wk0BJxwEH\nz8yJSHIpAHOf97ep2xA30iE7PxaBvUKk0QhYAVjY+wTFP67JK5Jc3KdtEIxSDlbpJR9ly6Z5Rtm8\now9ecZnKC7bUIQR+XEPgCY4xqazwflgusmMrshPSqb7DPJwjK3ljkkzUFXzCNLRl9hhApMN+kCkO\nwGzs5CcBKTusN8rMYaHycvaDHNg95cKnTH7ZInJS76EO3KtCslfkwTbhmcKfekZ2OnkhUe/IStmc\npwJ3mL6O5yOHXIWEjHwWKaYImSJhSiOmMkcbp616zdeS5MRY66PR08Bx1oxyAH/vvfeuyq5r6RSA\nCboYKkbDBxRozJAaIobFOY4T50TaFGG4GDmNGgfEeUhcpxoTeMipkD50QBgj2JFPzpO0GCcyhUTa\nuEzqH70oAx40bhpFjhgFMxtQZRMWa7Gf+MQn/KidURjvj+JEtKEtLIMAifzSIdUwcdzYo56BMx2j\nFVZYoekQGAGjQ+hsFQDC8sI0/PoRjp36AdvYuYQBmDR0RPjQCXYR1k384ROwhhe4Uic4D85xsnR6\nRJSpukIuOnLYGHJDOQcKL8rnwzC0I9JTBnn5HjidBfCi7DAASy7SCW/JEh5lj8gWdmCQMRwBS3bl\n5TrGH3sECzBrFYDho7I5isAe7LgXyqPnHMP6AFfwgCiTsmMiAGIzISG/2gCYghMdGfCGeA7vmJAr\nth3SIBN4cIwDMM81AoYvNsQyx5133smjJsGX+mSndFhvyJkqk4yUh/z8pYIV5dGZZlMn+gnzZqH/\nPQHDMACTLu6kxnlS1/g8XjfcYost/GYzZFdbDtMjt/AP76udoC/ypHQK09fxfNQIGOdFoMGw3/ve\n9/pgDMA0WK5p2J0mvgXKehPTKDRkpmGQYbXVVnOnnnqqu+qqqzpd5Jj44ZSZfkZGHBUVzjkNgF4a\nRihjxJgxMKYrcwFYBsfz1AgYA1MjDwWOG4AMkTTIgDwYJbJAOFycJEaKXCLS4MRiIj1Gz3PypYxf\neRi5gUlZx0zyEdgJ1GCGzowamXHhVYuY5CzkuJFBsmMf4AJmOBP4gwlpCFbIL9ykQxhYUg6IulQa\nOlUQ2JA2di50HuhciTbZZBP/wX/wjetGaThSH8iDbEqLTsgfkvCiXNLyIRiwQy8oF4DhDW58ThDH\nTTpsAZyY7uOcdkXHRzrCD9woR4GUeylCftIhn5wdZWLjyEdnE17cC4nyVY/cB1MCpso8+OCDfX5k\ny5HKlk2T7tOf/rT70pe+1JQ/zkvQ4sdIhFto/2CBHaZI+OuZdOZathOmSdUhaVXfnIeEjWBrDDqQ\nLcYrHAFT96SlXkMCP9odM0hhveXKJK9sE36qv5AnerCx9De/+Y1vn/CKbT/ko7y0k1Q6Pc8dsQtm\nrZCHX8mi/LCdK5/k1rWOqk/wC21SzwfhOCoAS2gA/fjHP+4dzfrrr+97i2zAAYxOEz25G2+8McmW\n78VqvS2ZoIc3cVoKwBRLA5aTUyOUMYJTaMwpMUmL4dATT42A5RjjvDRGORWehelwFjgXGTPPSUsj\nxdDD+qOOkSGmMDi0CsB0mlgDrTICDkeOdOjIt9FGG/kef9yAcTDIyx8ETugGMbVLh4cGjG5y+jgM\nviuLI2ckjHNiNMNoJxUAPLPiH3wJ6uQPCWzAIpSNH7bgPWM6YyJGKKyXUi9x3SgNR/hTFg4DR05d\ncI38Icm5K0iAAemREcLuUiM+5KR8pvc1k0T9cZ9ysIlYR/hxD5lkI9xLEXIiM+WTFiIf+xxYW2fp\nKrRF8YhHm9QF8iMPP2LPOnOu/YsHmFB2Sv5UmeSjYw9ftRXZNc+ELecxwY+vhREUwI5RsQjZ0R2e\nyA8hF/LFJFzj+9QRfHjOEQxFqkM6NfCHL2WRJyTwo+2QJqy3VJngj+3INikzFYApm3f06cRCKV7c\nj/XNpSNtGeHz1OliJozy0RdbDYnyqLuYSIv+4MfzvfbaK05S++v/WVYkKiNSnArTwDQwvtyD0zvu\nuOOilOO/pBHyt/LKK7sddtjB997ZTMRo/Pvf/77fFDL+UsbPAcdPANbUFUcah5wJBhEGYAyZ6Ryl\njyXAcMmTGwHnHAsGKqcCzzAdRoxzwSi5D5GWRooTDxsyaZEhJhwOelAO+ZAxR/DGLtSQUunUUMIA\njCx8zpFATIBhPT0kMA0DcKgjulGmHCH8aaSk2WyzzXyAIAgdf/zxvlHjbHA6IsqGv4jn3IsJbNAP\nnETwxKnHmIhnzlmQH37wwmmQnrRgrHpSGfDG7nfbbTevC/fZbCfCnmK8eAYu6IWzhQf4gRGdEJ5R\nblwW+ZCLZ+iqIM/9mJQOLLExCL7cF8EfXiHFwY782CG6E8z5chn1meoMig9lpLDiuZ4prY6UgZOX\n8+Yo+49lUh6O6ECbFGZhXVNv2Au8kAdC3zCNv1n8Qy54xER66gYZOIZp4MlrVzwTX9ojeoSk9oE+\n1DF8IGSXXErPEg97ePDjYM9fKgDH+OZwRS5hShnyeSqv6jEMwOutt55vuyn5aScpfJGBZ+BHmwg3\nFlaVod/psgGYT+19/vOfb64V0aNmuodebqdppZVW8lNFBHfWnRcp1qD5zi4/os10CO/81YEUgHEa\nEEcaJJ985EMbGImMEcPAoX34wx/OTs9i4BgcxoMxch5SyhhxVDQA8opIxz0cLQ6UHm/YmJCDBkvD\nQy4Rhhvy0X2O5IEnDTVl/GHaVufkp1xGrHqv9LOf/WzTiaM/MockeWPHgo7qHCAjusMfWYWfHAcY\nkB4Hhe4iBUtdx1Okuk85lBE6SL7Oxb2Y5JiRO/Wc9KpP+Ml5hHKLJ/rgTJiilP4EYAVH5CINZYUE\nXxy3OkPojO4EfXAAD/LFBF44cpUVP9c18lOP8Qg4tCHShHiRNw52yBXbqMrIHYVdWJbSpsrkGfjQ\nrqgbCMzBG6J87C5FlEE6/BCDkLBMYQqO4AmRNoVraj2Z9GANH+wOLEO84IX9cOQPmVneoSN/0UUX\nkd0TulFfHBXIeYCs8GPDIx0biM2KzNiABTNVlJ0KwOQLdeU87Hx6ZsU/5A9tXGXqedVjGIBZ8mRJ\nQfUc8pAvDe9xDuZgFMsdp6vz9f+8eCQlr1cwQtlyyy2bT7ju1nQwFUovKCY+JIGxEKRbER8hYKNP\nipBdUyup51Xu0WAxSDVoGg9GwFo106mcyxhlNF/72teyrPmaEo1LDin+GH3KGDG4uLFzjTOgTBql\nGjb5IY40ZDl9CYQuOPMUyQngqMQnla7KPfJThzn8wREnEpICAthA6KjGBj8anfDnmo6JAhTXpOUP\nHUMHBa84ALPMQYcvJtZ5kSN0QrkgJp6q95gX12CN3PAgPWlz9Uk6NuOsuuqqnhVT/eFauWZNZIsk\nQk4CrgIw+HANL+oeXWLbIR94kY70ZYT8yIuNkR6Cd+i04aXAJF5xsENmZOFI+ipEGfANy1I+PdO1\njgQnykZ3SPa/3377eV1z+mL7yMdIlMAXyojM6A4v6ZmqQ8kgPEIe1Dt81DEBQxE8qVt4ii91dsUV\nV/jX8ZghhGhPyI+cdK6kC+XAlz99/Gdq8WYAAZhZIWaccgGY8kI5wTWULZRRmHJPdq3nVY7qGMed\nILXzkAd4heXpmeoztkE9H4RjNgBvt912focqI94111zT76ykV9WNEXAZUJdddpnvwfFN4FbEhp7c\nJjGm7OQ0WvEpe87ucI0U6IzQWNicRqDFeDFGHGHOaELe/Eg4xDut9FIZSYcEPzVy3Vej1DVHpaMx\nKgAjmxoTRo1TkcEqb5nhkl67ocVH+do9Uj7YhxuXQh44DxxGSDjPww47zDsq7iMDuiOz9CUfToJr\ncBdxj7Rghx7wViAnDRtbkIfXaZjVoNPG7u+Y2J3PM3ZFi3KYoSP1jtwpZ0F+5CS/5MJGOCdvSFzz\nDD3Ea91113X8iTRrgC4ieCEDNgnJ0VImPGMHq3yUI9vRvdRRdQDuakvwDrFXmjA/+CtA6D6ygRXp\nqxDp0A9ZY0I3nsVEuchG5wyS/fO7t2usscYomZQffgQ4NnDR3kMZkRvd4QWeEEfypAh5wSjkAdbw\nUUeZOhPBC97oE/KlTsO1aLBTB5G08kkqD57iqxEw68p0+KkLnsGDjoAollO89FxHsKFdieTzdF3l\niO6y0zA9OAlX3actpPDlHmmRO2UXyl/nY3YKmtHKfffd53/Jh94K774yHRy+r9gLxQ4//HD/Qf4q\nZeGM2NCV+sNY5cyq8Mql4dvEjEYgPljAhyTYnMV0IQYhY8wZTYovr7GwTkMwCElOJ7wH31gPpeMZ\nDZupndBZYZw4DRoNjV8UO0/d50gZNDT4hQ42TFP1HFxY0ohH+MqPQ2CkItI0OyM5NTyO6CQnwbzf\nCpYAAEAASURBVBHZ0J2/UEbhga7oAW85KMrgHiMJXv1h1Aw2KWdAWvhSlggZ4J8inBlOLXROYTrq\nQTqQhvpK8UNXsMeepX/Ih3PkxYmFhDOCr4IdOqMb8qMzz1Oyc48Na/FoJOTNOfIjM3zVYcI3xNiH\neJEvF4DhldOPfCEhI/KnHC334jLJq3qXzVMW59gXO7aFU1gO52BIPbIcRj2EZVLH3IMX8kAcc3qk\nZBOGki9Mgz1QVxxJxzkkmThnl7vyog/yqO7ECzyoG4jAS4ecEbCWgFjSYHo9JMoMdRWvMA3nlIk8\nItIp2Oteq2M4/RymBUfkCAl8hUN4n7RghK6h3GGaup9nAzCCAzTv3/KBAQCIP7nXDeUAk5HXIBHr\nKjgZjABnhDHmjCalF40aB8gnAEMKG7nupxq7nJMaNkeMWE5Bu3SpQ56JkDN0nrrPUQ0eJxX2vMM0\nVc+RgwZfFoDl0OEZ98xVDvjKSXBENnhzP5RR6dAVPXBWBOuQ6EiyvAGlMFVa1aeuyxq7nHPKWZAf\nuWQbpFU9xUERncAAvFSHKl9HjYB1zVE2J2ccBmD40J7jssiHXNQPMpWR7AzcCezUQcyPa+6HBP5x\nsKM+0DGnX5ifc9Upx5hSZZIGJ880sjpf1AtlEozYkBTLJL6yfWSkjmIZuYaX9BTuyh8ekRebCYl6\ngLeCaJhGtghvnZMXmdR22SuDj0Qv9KEjJh2FE2WqXI74KI2A4cfIPlzS4B5lhrqGcvFcRJmhreTS\nKX3qmOv0puoSvVNtClnBCP2QYRApG4BZ02TnHO+ksWGGDw188YtfdOecc07H9QTEQfgSVpnijLAZ\nTclhx73Esrw8w5hSDkH8lD9slLpHXhoPZWKoNG7OY6OkEXNfRDCI0+gZfDBsZMoFaaVtdUQ+nE08\nwlc+yggDMD36VINT4+Qo2TjnL9SDa3DiDz7wloNSmWywYQpamOl+fIQvOIngCf8U4ZRwLKFzCtOR\nj3pCdjnUXH2CAe+/x6MU8cuNgNFXdqQgR3lyVhxjQkecHOnLSOnAUiPr2DaEfcgH/CWT7oOR1ux1\nr+wo+VPYC9cwP/WKbGxc4qteENOvjAIJwGUjYGRTkMm1IwI4dQkf9ItxkCzcB/+QhLU6hmEabE26\nhoFHbRe56GwqeCMf5+p0gQXl8Se75chsErKCAZQKwOQJ2xHnseyanQrbJ/KrrFDPsnPkrlqXIQ4h\nT2Sg/cRyh2nqfp4NwBMnTnTf/va3/TTYpZde6s4//3zHvcsvv7zjOrHWxscB+DADvTmmTniPk3Xf\nM888051xxhkdL7PTDBWAMVoaZsq4xlJm7FwwxtiJkoZ6Ydc4RokDSRk4z8gvKjNcyoAv7xrmRq7i\n0+oIL5xU+PGHMA/Og+ci3jfn94Bjgg/yIxey44wY3ZOX5RGRAoUa7uPFZqbQsZCOa3ZeTi02qITO\nRDx0jJ0L5VJ+iuS4c/zkaLGPMADH/NAT3WgP5513Xqoo73BxvCFJ3zDYEVS5D89c54HySVMlAMND\nARinG+NKOegn2mefffxmoFAmnoFVOGuh9Lkj5cAXDGPSs/B+ao0RO8avcGR0HMuk/NRNGIDj+mE5\njh8sIQ2jUX4hjA9KpIi82ExItE2wpv6QAfnBUp0x1ZWuySuZ6ECwV0SjXmQgKJIHEhbw0xQ05dPG\nqDd1emhf2H5IsX3AKyU7soSUShc+T53LJuNn4IUcIcmuw3ucCydkRIZBpGwAxkDpKbJ7GINlXRUg\ncmtl41F+UL6EVaYjWEE4CBxFzgmX8Ug9wyBDhxY2SqUnDQ2KV6FoHDi3uDGRVgF466239s9ppCmH\nprQYODMTzISMh+DDGnm8yUw8cUIKwDgn5E+9by5npuOOO+7ofy2HTXA4IZEwEwY8Cz+coXSMAni/\nvayuYudCXeQaO3Izco0dlMqT3PAgDe2JczlPpeOaEWaOD+niETA6Up/ootEQ6XD04KC6R4aY0AdZ\nWgVg8pIOR059IXvML8YL54hdhjJRPrrlcIzl45pyUuXpWRwoygIwsrAbOEfIRmDTMdaRXywCA8lT\nhluMB2UKQwV56SZ7pf7hzbVsg3ZKh4UZSWaSFICxkxBbeIEFf9gDxDlpQt+NT6djGhLpQl1TsguX\nMB+yqazwftl5qFuYTrpzjw/eMAADr1QblU0jdzu2FJbX7/NsAKaXx3eY+cLNbrvt5j/Iseuuu/rv\ndnZa6EH5ElaZ3hoB9yIAx8aoBswUE88IBBht2JiQnUZIg+VD7qSlhxynkY7c75RRwwvHkQqClBcG\nYOTSRhHJoiONE73USHPycZ8GTlDKpYEnHQLkKgt0sXOJnZRk4wjuOKi4fpQGHMAcHnIecuJKw5F0\ndETK5KIuwxGwHBq7ufk0pohAIVvQUc90pDyelQUS0rKOSP2Af9UpaHTge8VgExJltTMCRkZ0TNUn\nz8AxJDoIeh1L9zUCJoDR6c8RMtORUjtKlSkbFO45XtgP9Q1NnjzZ/14zdUv9y06URrxUHxxDIr06\nstQ98pGGOhYhK+Xxp6DIkW+280aJCH9FEA9xI0+oq3gpD0d1GsJ7kj+81+ocXaV/mDasS34b+Z57\n7vG2mUqL/vCJ5Q751f08O25ndEEl8foOn4pjly5Twal3dcerJF/BorwJEyb4tQl6aozAeQcPcOkJ\n1Z1YW2E0hTFi1CmDGYsOoUGSX4005IUzoEFSV5SLYdLI4waM02PzBrJyzK21whue/HWCwAS5OKYo\nDCaSL5VOWOAYwDh0FmF60snJ5dKQHpyYkizTM3ZCKfxVNvwITLnpSBw7z+V8CHp0EuLyuU6NNFQO\nR4JhKgDHnRcFYHhSXlwWvNCxSgBmxuC8YkqczxViOynHB//QqeP8WV6K1//BImcPyBQTMubqXHYR\n5gFnygiJ+oFyU89Kq/ajY9yOSIee1GOZPZCOvOAE8Ron+w5oh+SXPJyDE/pxTp4UX9JrBIx/FJ9U\nAIafpqA5J2+MB7N2mtKm7FhP6kc8eJWJL8CttdZaTbm9UsU/6oYy2qGUfuRHBtkPnSjsLGe3+BSe\ngxkyDCKVSh3+GhJrHvx1g/QlLH4XdmqxLkEvD+NgB/baa6/dXLfoRtmd4vnJ4qsz/CE7Tp3dl50g\nDJJRBzvQmZVIGS5pMFIMVg2b67hBEeiYDsR5E6zLRllyBJ3QgR22dE5yVHUErMaJbDTSnANXQKGB\nljVMnBKYxY4plJMy5EBxRqyhaR0tTMc5/OhA5PjxnM9xwg9HjK0QMON6Qr9UAAnLk/PRvZRd8IzO\nLLZAegI2vGMSXjj0MiIAsykMPRhdwjfGF7xCZ5xy7JQBRmMZAcdYwQsZVEdcQznbBm/kLyNkUwco\n1ZElLziCeQ538Q9lw37gh96UITk4J5BwjX78kS6uK+qQzgyvLRKAlT6sN/KCOX/ChGNcT8jHjJRG\n1Kk0tFtmLyA+6sG3Duh8IW9IcZ2Hz3Lnssn4OfKDKUTbVIcV3xUTcoBTSvY4bV2vSwNwL4UGzG6M\nrnupA2VhjDincL1lPDJgkBjhEUcc4QNwynBJQwOmXBoaDTPlHDFiAgQBmGNqOkmy0vjh2wsCK3SE\nykbAcnrIRaMD6xTxHP2xqVwa8uG4KBfHlqPQubRq6OBOYM3x4zmY4xxxZIwoeNeeNfmQ0LOsbkgr\n56N8uUAAFnoGJqk6xWZ4Fjpy8Q2PPMfGCCDYEjKmHHtYZi4AwyuVNywvPIcnvFL1qfLC9DhmMIqJ\nmTwcexmRTwERPinMJI+wzfFDXuwG4gjO3KPe9YEX2SF4wJf6R8bYjqQP6enkw4c84Yiea8oJR8A5\nu+U986nFgIc9FKl64nOovKrHBkd2ffORI47YcUgqM7zX6jyHG7ojC6QAnKtLtQH0S9lFKxnq8Dy7\nBlwH4QZRBgwBxxRPBY5VFxokjRYjhFKGSxoCCWVSvgIwxhwSDZWRr0bAZU6exh/nD3l18pxykAUq\nWwOW01OD55gi7oMXOpQ1TDm+2NGFPOGlEV3KSYVpkY91NTnK8BnnchjwQWeWdg466CC/PhemFR5l\ncomX8mEjqfTwUnnYDjLGxD3yh1OZcRpd68MzdJoYUafqQGWSJ2Wv3Ef+dkfA1EOqPtEbJxwS9pSq\nB2ZiWv22uLBVhymFGTqiW04/yUJeycYIGLmwTX5sRh0BcCfgixe8qQ+OISEX7YNv47N0AcEfOxZx\nTX3zR91Qdg5n3gLABhlVkz7WE7nAlte4CPgEX5YFY1xVjmTIHeXDeJ6zV8lPGgXgFBY8Vz2hYyw7\nzweB0h5sECSvqYw4CAymUwGYBgA/GiekRhqqT0OlAfP1MhqbGnDsHBm1MHXF1FOrETAG3Sujlo7o\nhIPJLXWgl4KJHEyIg86Rm8ZOA40xUBqOOC4auXawh890Tn1WDcC8jsKvh2ndTDx0lEPHYSDXzjvv\nrEcjjqrP2NGFieR8dC9lFzwDWz3DjlJ1iizgEI9sxDs8KngxEsaWUvhyT0GHslNlUlYqmIZlheek\nTZVFGu5TTkjUfxV9wjw6Jx/tCfuAT6pc6ogyha3yxscQCzARP+pFpI4g7ROs+INvmIa0XNM+6ECL\nkCMMwOBEObQP0nPM4cy+G+RhQxqvvLHnJyZ+ipbNikxV83N/BOvYt8FfbSTOr2s+AsKy3A033OC/\npoh+qQ4fuiMzpM4sMsZY8FxtQO2Je4NGNgLucI1hjDg6vfA+XvYYGfxklJzHxiiHTcOgweNAMNrY\n8dHAq46ASRs29PHqUZYffZAXajUCpuGqkaYcIzy4D05gl0tDOnAi8MR48kxEfgUT6qCMH52fU089\n1a/RKX94pDxGQPCJ6yZMp/okfY7kfPQ8FwjgRXnoCCZcx4QsCjjxs9w1I+BcAKYsYZaTC91yI7NU\nmeCeS88ztQ/lxZ7AaCxEPupJdpmqK9kF5aYwVbkKiFyDCXLBO5w21ghYvCgvVVdgRvug8yMibRjI\nuKYc/oRLLgDDg9exWNdnb0Kq48gvFLFcwuYv7SKPcQ11lFw6MsrmN7pZQ+Y3fwn0UEo/7iM/NgMR\ngPGjuWUitQF0LdPRM6vpPwvAHa4YDIFGFvcSx1oMjY4gQS+XhptyaBgtRrrTTjs5PmJBnpRRhgG4\n1QiYn9075ZRTxip2W/nADOeKzExr5gI/euKk5GRyjY7nauC5NAiokUdZACa/evfIB++xEvVSNQCT\nLnZ0YblyPrqXsgueERz0LGUTpMFRY2OhI+d+GZUFYDlq8iuoxLz4gRd+W7kqUQ/ImSKexcED/MB7\nLAS2Yf5cuWBLWy8LwLJV5EBG0tMJpi2KZIeybfLwadq4PrhPmlAv+IU2qaArXtR5Tn7K54twzNoQ\nHMmTItaKGQEzc8a7w2H5pFcb4ZWh+NfoqGe+UUAHj1eh6EBA2GSq3YElHTs2OqIXvqAsAFNP422X\nXqA+/bMA3GHgMUacf6dGwHLaCsAKLKHYGCoGjqHj/DDsVKOj102Ao9Fi5K2cfFhGt8812qCx5QIP\neqI/R5wFWKcI3UmXw0F5wLSTI2DxzR0VNJE9VT/KxzM6JLnd1qSTXSgPzj2FBw5N5YFbiigP3GPH\nmkqre2UBmC+esWYIUXaqXAJQbqlBZYRHdMuNgEmHDjhiETaesyOlyR3JR3vCfsAvhSt5ZY9lARi5\n1DlAPvhyDW+RRsDqKMGPV9niAAyvcPRL/osvvnjEUgYyUY5w55iTn/wKqssuu2yzo8n9kAjAjIA5\nsg4c44pcdFL5XPFPf/pTn/Xmm2/2X5qjfSEDvgabYaQNSVd/EfyTrARu9EDfsgBMOycdMgwiWQDu\ncK1hCDT+To2A5QxojBhxynBpdDRsOVDy5JwVDZ8vW9GQ4Kc8HYahbXbITGNCJgJjinBMCsBljQ48\nqAN0VYNO8dPII3SGcTryawSMIylztnHe+FpBsxUfbCh2cjE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ChoAhYAjUGAEL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CmtSW5wDtCuYjhxGAzyzEu6it1Jtr3LC/lpY1cw2IqstnbTYJ8+43vAKGDxgP3+Kt6Yn05Vv6WN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\nlHXjjTeasosgnnjiCbPRRhuZpZdeOnd1M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} ], "prompt_number": 8 }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### fMRI Imaging (variance analysis of multiple series)\n", "- Notice that responding to stimulus, the priodicities appear strongly in the motor cortex series and less strongly in the thalamus and cerebellum. This may indicate that different areas in brain respond differently to the brush stimulus. \n", "- Analysis of variance is useful by spectral analysis of variance" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%%R\n", "data(fmri1)\n", "par(mfrow=c(2, 1), mar=c(3, 2, 1, 0)+.5, mgp = c(1.5, .6, 0))\n", "ts.plot(fmri1[,2:5], lty=1:4, ylab=\"BOLD\", main=\"Cortex\")\n", "ts.plot(fmri1[,6:9], lty=1:4, ylab=\"BOLD\", main=\"Thalamus & Cerebellum\")\n", "mtext(\"time (1pt = 2sec)\", side = 1, line = 2)\n", "print(colnames(fmri1))" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "text": [ "[1] \"time\" \"cort1\" \"cort2\" \"cort3\" \"cort4\" \"thal1\" \"thal2\" \"cere1\" \"cere2\"\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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KOaTteMtkkfwLBpJ4MQXKmGVokUchHjCZT9lzXBgEciUgIu4hz4QI\nJMXJA6goU8pYhS2+WYp4t2lHClhjJIiv4oSgxuIxgKNZYqtIrDjClwIm8HWcSgQ2C5L300Lo0vDj\nPdd77LMUKe1pnYy1yJPqo1jwjIMIG1YoocICNagIx/1GFKvBjn+EBqGifaL4vK9pLrwxmcgtSfQR\ne0L4VBdWkcFJCRM0BEuElWsJNIIIhEk5VwWsHcF1jAMxYkTxMgz2uwJmJBrb3tVfTYTDB0hNYrt+\nI95rVk4ibGuc0PmUAcGpMUdtQE7U/AYGFAOoki+W5RrGbz7OYHzUMaFurgsCVctY531t0vLc+zBE\ngjhabYwXp6+DoDMf3nV4wkmC6uEdw5KyFHpJQpbrrDKWL7QFyjZXGCLE8KGY4w27ngJWJofF2AJT\nU9CMAeVod+OYQjZXn2xbJdJ/JPftFe1IAbN8MJVlxRtGhJUPO5vnJwlpFQncyCPSOcRPZPC1RAES\nwBEcOS/GTRn0QdAUCIFfvQWCHDS0FbI2aRbd0EHUgZfHi8jxrZS36teymHlBeVcCFSwk+xh5bxDm\nEFGShAti+Jm+FFKm2LHkOBm4VQHzuGQ/8gQI9XqfDFCGmfYM8Rz0c/2eodCHguTadd4OCfu8EwWL\nF5UgGAwkZGwxYluizBk5VZFQwFAe7cvDgqIR6pCJSu4NMbYSwqFYqsFFAWtjHnBVzLl3Xbd9HjDZ\nIjGN/K1EBnt3yWshqBGkR/iGAYTvxoUyJLqFtBvUA1HmnAWIIKjfWHIfRyCkrYwTz5NdDb7muFiA\npXrgrmfUkZGrRCB0IRa8kIfTkr68TNqRAlYxjBYnqN6KAWaQEGjTpngs88WGymZtm9oD0gK3EByB\nL+s9Vl3irRLalShgnYyF2RIlKRZSlbbOWi3M9p6+34RPOiohz1NnjerkrMua7NJ3/7odM2eRkk04\nwOpXvsKSqRFCBonpHd5Y6g4fKvF2ooAZRrznkAEkqYSQotCjNA06isQiEeAzf9Vwcj9BLp4foqyz\nhvR+9oIpYGGAISJoZeOC7CRattSHKrmGEhU7rh6UsaLN8J6CYOC092sHMweQMWs8ZfqS+HFd/CEK\n2PipxlZ38xr/0yaUXyWyJYYJj1M+C4IIMVDcEwL/H3vssZszLCS8MUCNubpymPaQ1BgSdmFwIkaX\n+4yhJNvKkDY1zHVB9iCMfdnaCQWl7FXYWm2NLlBfBkZr6FfjZBn13bECVilKtiodx8AboA6wxSoR\nGFLCmPmd4BCQSx9hPKtRB62ko/GMCYJ0wpxn4YF2WqJIKBgEMooSaK/Lb4pfPBmJtekksjrF2EyN\namOguW9dt+JSUIh4wOKxvNpkvVLG+VgGxEXfCjFMCOQIW/Gsmk2Lj5QJw0X5jENtSvgwlqbxUrvJ\nWK8ESpNksp8VMG8rXqp+/ohHPKLzlPCBAQtapDD1d96WMYWMJSGaIQ9Y21EaVQEnBOB+gl/MsVXA\nYtB5BmMZOmLsMURNd+KFhShgxpV2BYvuF+pTwBCDJERxeCpaQ1lHAev3ZAdlyQO2T0Ez9PGzJh9y\nTlwfMjfWfG7tblySXxwCDog4vz8eMyOXHnjuc587+H3nKtdS/ipt9fnIafVq8xiWUdeFKOChip2y\nkRwRwZhrNJQkib4/kPWys3zBIjwsCT6UrCSOPgJrMSp0rsC+3uU5z3lOJ0QI55okpAzwWp83zYLU\nsDo+uLU1VtrnVw/YQKFAdG6xUVZk3zPaMtbpt5AAgRkFrO6QCccJWVnRSZSTZR+0hXLgGYEtrZKE\nKGfWLGgNQWF4vwQ1RU9Ai9ETVlk9yHW88AgzvxG+Z16l34S+vxM21gn3DF7HfqSacUvwUrSBHbUT\n4wOZp20KS+K1+ihFYNu3NCWoUrJLVYzGRvW2tRsDt44tU2XqmuCezcgiLyjbKijlS1A8mWbj2kri\npOtI1ShK/c2MCO+8b5Af/Vh/xkNyh2cMjgYpk2v6LYjean3CheLr4SH5XMeBRCrjTbsjfYGhpc1d\npy9IwjU+JVtRzm34IPVdRQ8YIgMJQxQwPoeCPub3MrZLVcCgCQOkEtiKYu774+1FuNZ7FrEvOcDg\nJgB4sZirM4EVpxGoK50PPCEDVEcGmyU+QOggq/NkQNQyo4BBp56f8uo1dV8sInCO4+ITlDvPjXew\nn8jAZ8kjChhvGSkoQrYKBArBH2OGInWNffCY9oG48M4ykAwqA59iJsQJKR6VpQ0rTEaA1CQsz+c9\nV4OQQPNMn5Ak0HgOUfSu3y+Ed4E78a32RW2U9vK+QjRRwPjJO8Znhk4fGT+BOBlXvt5TvQ7r8mYp\n0txPcSeeaAxpA+3HsDKVLG3tes9lQPDQKJdKnsNYW0dqPWBKlOIMPFwVsL7MWIeWcRT0a14s5AH/\nyVj92tgj//Dv0IZTxLgU4mH4hvAapBwyFrVzkAderXIYTZAJBjGDqY+0oTZfpTFj3YWgoFDRKps5\nOpmv3vc+izi2UAWsIepg0hhgp70m9ZLpSnlZT1jWm32dTofrI1AmCxv8GchMJmAsa52VwgVlJo2f\nUO4TPCxDXgF4x3YWUUKgPfCqDiIBgpDTOVhsVSnMKmuVz1OaBIRMTMTAMBiyMAqkgCCREBUCcUry\ngF4wosRuWd0MHxAbnrHAaz90DWHN4netVa9cI38hxOipsTDHCZQ2kVDf8aUqi6UQapm/nHL2w7YV\n9t5JJixeiNHG+5F0xaCkhDMu+t5/qL8yzsH5ppaFjt2IU2rHSpRuiMFFKVASjC3PrnE6/cnYYTwZ\nb5UoK+hFDLx6btX32zbheVZFx4tLaMb7m9blfckMss7sAWMDauQ4GUOG6c/agYOiDYW7gnbgibar\nGeXGJCVsLQNbS7/KuhaH59hU5V156rmIMbVKTgTdoM8gzlbQHb/JjJrg59iiaccKWEOIpbGYvQiP\nQyMRZu1k/UVXft7yCHaxWd4PCEqnZLkFymUxt8Tr9G68qsx703mShMMq5AF59wc84AHt7Uf91qFZ\njTphkoWOumDgBytezBGEJNmEIhELAz3tB9L5xQBZz7wVqILkGUIY6Ufgf0ozZMoDgyiekjb0m0JV\nHv6y8gkh3hoIzT2sfsqc8CFkeGGSVaYRAV+FXL0WjMrTmMegqvetw34V9voeuFKyFYMHJE+Y421g\nYlB04E/vZzxkFSbeMiO1j7QVI6h6sIzi6nHrE9o6RBnjubHEEIA+EZSVGAUWbcnSofUcdIQRvm6k\nTcjWUBRafksarbFcxylGxozQmZwKHnNi6Xgmd4Iny7EQwgHfJ9kt5Yr/V6VEljG8lKkthIR44+Ql\nBWY8ZslQhhJjmaLPGt6rFgcmM4Ku5J13c7sjBUw5ySwFGWl8UGC8NsH+WZbxbr0o4Sx5AHRJiRLY\nhLv4IEHhIwcESqVYajo+AYPMbUxjURwsQF6S8nV2U6+mEYjdQJhFrHdeoTrhsQQkSALBoz6STrzL\nuhNomOdq8XyCQdIeY6gqYDyuClgiCD6y4FGmF1GUeMUQFD+GRDBgeNMEPGFAKOM/oWAlpRbqJLCr\nMcbICvoRXkMkhE/QqvTvrjIL/FcVMAGFl8aDcaKvazN90xhC+mJgRcaqtoxHLBbcpwhTXeOJ3IhC\n0e+1T8j9xi7yHOVTFPa1JSVg2l4l9U3/qMcpDX2CV1cRknrNqu7rwwkLWNyiTjFSZ8Zi9exP2pj6\nyKgll/HP2ACxBv6H/DFuKUeKGEzNi2WwVuoLCZJFxgU+StLS1gwwc4T1EzKVDIM6MrIYasYSubVq\ncWB8YZQj+T117rT6z5LplVfb2d+RAubhiqNKZNJQrCMwCIFprhloKfDsdiq3qHt0XIYBwVnrCKLi\ntcu25R1Vco+ORciwLnVUcLQOhsCZIOh82gsUqXP1kQ5Zp0r0XVOP8dBBQ4QcoQFNkI1LybM2deh4\nDRZip1zWkQxS7wdWtIIYuIfFHqVnjifruyrg9j21J+sbjMYjSsKc60Bd2ouAxz+eW+AmCiNCP2Wa\nklThUrymjCqx4AP1ESoG7Lry33tFcdZ39M7xtvRvxkpI3gOhFd46rr+C8PHLcQYUzwhR2PisjSpR\noAwv54y18BlaZZYCnrqmEmNAzJKXpQ1A4qDT+mUm11PQ+kE8sZRBWQsbUOrxBHNu1bdpE3LMuAh/\n1ZusYKgaO+nT+j0ZxUGC5OEpqB4CgChsaBNjJSuUud8UyxCZF/Qvx2yNSeegE5AmcjJrKegD2ons\n4nFDmxDvmOG2agpYPkdkOKg9Y1ud8TTK2e9l0I4UMLyf5YTZLekoVseZJjzbe5b120Bm8Zp2ZBlI\nQkK9DPbAiG28yCAV9/IeIFKdjBINbK0zyaKN8CUEMievfQ/KPeujtuf6fiubgqWcZJlmsXQDRgcH\nA1IqiDCkyNaR8JxAj9IjPBg1ERI6P8FOkEwjQsYApxDFiyV6KCvTYbQxCIwioRAQo5E3WwlqQwmH\ntG/qlmMEDa8bQSR4IjJH15V4SK3xaaxEAXsvCJD+j8C3FBkBXxUz/rovPO8u/u4/nlhd5MRh4wak\nbTxRDEmIcz+hTUEaq9oyxHgKGuWY7FvtKfGrKnhKhfCkeKoST86BelMe60LqbUzgFc8ewsPwDIGR\nyQP5EZFPvFTGiuspb2OpojvuJV94rhQ6w5K8jiJ13m/KvSV10T84YNrNPp4jBpHwDN6TnZXUg/zS\nxqtI5EiVNWRJpj8uq76n3UnBLFfz9ihi8AbLkwWBwbw+8MQqJGERkLwqcAglRjjrMFHAPOAs9FD5\nEW8JdMLajvB2DaVHOMcTrfe1+zo/7xX8VdcpTjk82igdx3gUeGsKksGhk4NnWZRiZtCFwH/KnqcO\nbZ1W4TevlbEBmdD5CY8qANRRYsc0gjy4R+yKMcIzELMkoPRDShlpewIHnz1TIpVY4TSypjlrf4go\nYPxX9joShWnM6lu8RcLGMbBwFCJkgteirxPWEBckFFApypiybZEg/NGnK+G9BRBQzTRlHIs3U6jy\nH6pHUu+v+2njHOPJCBcZK/W5FJl3oyTWiYzvGET6OK8z7eM9tEsfnzhHFKHERoaMcZGERsqQjDEe\nGENkECM2MlG55CJHpCV1kAtjmV6yv34elMIX9+eUtbKfPIVATBtT7bOW/du8ZQhjDIhlP68tf0ce\nsMIMXpYQeI8S5gUSgpIjrA1bB0D78N36DSYXn9CZxA91Dp1PDE9n5lHWuYm1XgwJMRKJIO5Bpk4Q\n8LwAMRWZgG3spJZBSBv4fWgA+IdR0BJlz0MMRKgMwrEPLl9XBczAwHvvCP7qI6gDSGuIWOmEBkHg\nWjGb8MqUN+2NKBDtxhBCjBiKOETwE0Z1vqkYcTWMcm22ElkINveuI/HweU+MaMYG4chLSj/PO3nP\nFgnIubrlTRNk1Ytw3rG+6X6eFwQp5UiY08fxPkon5xhZfdOIJIpVFIhxyvtqxxUFrG+sG0VZSpZi\nEFXl6104CK3h6h7JmlnYhMEDMQhpYzFORMZxMKAUlGuIvNQWLZFLeF7RhVzDcKID9KeWjDfx69pW\n7TW7/Vtya1AW8iMOEpkUY2WZddqxAlY5jU/QgYd4abJ1eW6rQjxx3oqEKRaaQS9OZWEGpGMkDtDW\nmUBwPYjGO+pg5tcRzOA4XhshNs2bMugpfXWopLOLL7NgWzLNxXOitAkjnYX3HsiQh8eLlDm6rqQ9\nDEr8A0m2xoQsc4N9iOIdgC1Z+4QuXjFWeAURVmJZ+KY9UfscxhSBxVAKVJf1zYeere3Vm/Cqseeh\n61ftOCidAYknPGDeK75UBSzZUB+rkKf3EBpo44M8LsZon9eEpxUmZrCDjiFTDKwYmmYrtB50+MaT\ny3U5ZsuoquEECl+MUvZ15ni6Tna18YY4B/rLOlD6OISi/WatHBtGKBmCvyBjPNKGlDCSBMewHAqR\nCXExmhjEtY3AxX38Nr5Sdss/401/avtGrmMcrRIErR8k0UwfjyOg/n2h1bzHorYLUcCLqsyyykm8\nFFTCkyWYecXzEEVLUBjMvGSdh3eqoxnckhZAN4Hg+soEwbmnhV6UbVC08TFlULxi1onpxKujgKEL\nlANlAWab5qX11WdVjlGs8UjVibXOmg8RBqYKTfOA4x1AWiywwdgKr1KOLT4bVAxD8cF8OKBew+si\nvBlkvFpG0CyC+uhPklzWjRidMfAYl5Y7DT/zLuBdqypV78k5iJLYeiXl8ab62ksZp2yEGkL6MQOW\n8oBMTEOQcg8lUpOPcryd2qL9jRvGWEUnHMt4YnBtJS8jzxrakguRM0PXbPd4HyqRsnjF3gnsTiaJ\nnUMWEEXJQCTrKHE87yNKkWzi0YYnxp6pSX0IJuUeA1a7tYm26tEn0zxbfeNA9NVlL4/pN3kvyjdh\nvmXWad8rYJ2K8MBQMUDTUggbscP6yTSCP55PH8MpO1RjJODOdOp0XjBGH/E0MgUg5yW2iItQQi2c\nA6apcCjlL/kCrErxg+PEbXgQu2Gppc6L3DIkTB8CaRHQrM866d9AFiaY9n7xDijXJOiAzUDbFkAJ\nXw0ugkOsn9ddeUsoULa8PV6Ae/A201+mvTOv5NAGAkExZDnMadfvxTmLNFRoMXXQl6vHw5CoCljO\nwsknn9yLZvnqVJRZysNfseFqVOUc75PSCzGG8ZgwlhAVjypwYK6bZ8tgauFmhhYkrk41gyDF65Vx\n3/chiXme13eNJDT9eRmkj+Ot5Lc2eQzqYPqM/o0yHYmsE97S103TkmDYtlfqSu65BkSfUIP7tZf7\nW6oesLGjHStBGZJZXY/bV94qoUV1OdogZ+oJjYtx6veyaN8rYJapAUpAg511YJY6YVOhMlNY+jL+\nWsYrLw2jDIpZtjQCDw11cspBvLkS2E+9eBJtLEziWL2eF83bMigoJh1EXRgS67iwAD4QutoGfGY6\nD95FkDjPk6IMpylgSRQ8IIOHsiBEKHHwqpBDteBZtGI82q96dEIIMt1BUMIppiYwjIJq8CqG6pCY\nPEW27IxJPNkqqZcM/RZCVg4jpCq8k046qTNSCXvEo9PfKACCqipr562TLrGnEmTmZS97WT3U7csu\n5zVTuIydQJsQC7FjSoAwz6fwTlXAxgFJW8ZLS9q/VcDapQ3tUDKMjmVQPMhllG2c6N+Sm+Ldeo6+\nrl+Sa6EoYEgO71+owBe9GExDhKdkmG0gWIo40Gx7n3EK1uZ8UNQtnyFyhw8fbm/rfjNU8aoPJem9\nYYkHhanI/RBZJJcEkTvZz/llbE+lgA1Cwl5lCCGxNXBCHajLqMiyyozHyqMUW9KpKE1ZsDXuKz47\nDzRiLnDmFxLWOqxOryGVP68QJoDEWHjFrHXeRsjAAT8TTCEdgsKlQCgS3jMvmAJuk15yz6pvvQ/B\na8AS+m3Gs3fDl0z76XufIBO2BlQEOx5Wj8u9MnhZ5q6pHqEsXG2ItJ++oG48cx6G+aptWd3FG/9A\ntOKP4qeEXi031wxtoTGtAhu6drvHYzi045dyZchVxSyZErpC2CO8AEniBc8xU5H0O9O4nJO93lLf\nBw8Ia0k/+K8vZwF8wpgCVb7nDMV/PUN8mUxqybrQbWaztgB5Z5lT95ywsQyl8RtiCPAqF0H68Fba\nfivPjAfMWKkQPKNDLF07hhgeMVr1Y0YTdClTGXNd3VLgkDVOgjZAwjRDCth5Gc4UMeSwVcDO44V6\n9FEbMui7ZjeOMWBqf8JHK38hvF72MpSe838tt/GDlWS1IAKJQDFILGAgBmoVnHWkKGDeJO9KzLSP\ndFwCdyuUeCGDRWw5sKbYpkVIpkHavsZjgIBkGAM6Q4iXrg0Sj3GcggeZE/Y6PGvVwFRvcOs6EiUZ\noS5xo10ljJePR6DheciAN7iRe1ulyWDi+YLshpZHZPnz4ih/GbfukSSmffuIsqLkKCVzmGvST9/1\n9RgFIWa6TNJPCBnvU6lCzTmuf1GAjO9QoDhx2oQHvC9BLT5PgYaUyRAy1vChhmOgEZQ2AdfmQ4CK\njYM+oyllMxhkNleEJOe8Xxuv85ty4KGFIFYVEfEOnrkIArv2GSOLKDttpT/jXUh76O9yHypBhby/\nsBW5oo9Gsdbrss8IM/bEirUzYnxVZZ9r65Yhy4HImKvn8GOobzN6AnXXe3Z7nxceA363n53nbSpg\nigrzDRSZzBpE/MRkeHEzmZ4Yt25EoIgzWm0JBVYQs6keps7NWpzWUdt3F391n47ImqaIEYUqoUUn\nG7ICKdIs+sA6rdM0KOCcyzMpWl4a5QE6p+wNTPEXnvQ6kqkKeW9Kthoh3ifCf+jdTA+rQj7X4bnE\nuNabijdAaGTaGWgV9Bni0UJ9oBKMIMqIJyA8MQSb8SAYW5T1VvrPoUOHjrLAU4dFbilgArbN0o9Q\nb5/FqIsHzPN3XZvkR2l5V95XJe8enmuXulyi/swbxV+eVs3I5b0y8qcpYEq/VbJ5tjrzjisJ60iM\nqys7GTveJ0SZt30u57ayVW/v2mccbKWcoWvTVpaarEmKUD2w9FC/VJ48FYjdLMNQuXXhDO00zQNm\n2EA1Mm2nrTsPmlHaRzzNKnv7rtmNY7z0amx6JidUOBDP2rDgMuq0qYAJcQyvAyMPZOGAB+sHn3Nu\n1beSQihEQsgUB0JFR6McqzXpPZwbiuHmPcFoUXgEU+JrbUYo65TQqRZ3yrClrOtXXOo5QjPxxxzX\nNlFWFk8gkAxM77Ab89VSj0VueUoRqpRR3i/PmKaATY0hdFvY2r14jv9gtUoGvnAKo4WCzRSOGBaF\nM4AAAEAASURBVGW51qCUUIPHoFH3GRfg6D7Sx6AnjLGteFRi+kOITN9ztnMMOsL4bMc1JcvzrGR8\nE/KJATuXDx0Qpsl2ZawrV9sZR6b8IJ5ovmxkoQbjKcRYZfSkvXO8binDdoGPnNfXh85RBBLuKhkv\nDOPUzTlhnWoQq+8sBUy5+bgHJT9EkoqG+sbQPVs5HqPItMTqOXKOKIk+CFj5DE6KFw/6xkmtA0Xq\nekiPd2GUTsvqlkQ3pGCVi/9DIT19o5W9tS67tW/c10Rcz9XH8EG7x5hcZn02FbD4GQEyRCozrRMO\n3bfXx1k5mAnOlUXMcmPtBZqu9aMwW4uonrffZnhS5hXmqtcTWNWqrOd4TfVZvAICH7G+WoHpuDie\nGD2hQUlTWBRXtepdN40IIMprr0n8SlZq6g4SbvkIAtMm0Io2c1KcUWYn5dhHvBF9uiUwsb4MVrZv\ntaXW6AIlqpeYcWBXg7XONa3l8pjVXR+rArJeM7RfY7BD1+zkuD4G3m09c4lo7deg9A0GRxSwqVoW\nfkCMmnz0gHeUXAdKDTqGKNdp8XoogXbuMzqMR151jdl2hX73H/5n3n49bp8wb6e9CA9RzNC8kP5Q\nvVSoUpvBm2uz1Q8khiU5KcfrltHFmGwTweo1O9lXB20ifl0z87UPLxjf+sjY8I7zvGeSPvFMH+AJ\nguyHSH0ydvuuId+GPEgOnXqvIjEg1Z1BUvvKsup6lPTCfJ2o729IkSyrYosq19xSEDrIg8eqoxHA\nBsyQ8GPZmY7SN62kVdwSHCSv9JE5jn1Cm0HQQmY84ijgvrIYPyBRyoKgFJ8nZPIu8yaAEKLTLNu+\nZy/jGIUKao+HAk6mFEFXIR6TGE2SPXLcuxMO02LDBk+fwQjuJ5ShIpRHn1dFuFDwUIgMQkp2SKBo\nO94URTDL08g7UAZD5eWaRWzFfhlcrdLTB9scBZ6UY1HA+lZmCvBoYlxITknsV9ywJhBOqzMjACrB\n828JGsTTFLrhgaRftNcN/eZhV1J3RgNjm1zjDVNI1dhi4LVGSC1D/2SEHdowcluUpF5HAUMU6pKM\n9fxO96OA9fmaOCpznywY8oA91xhqE/Cm1QdKqNwTTzzxKF619xgXZGnrkOQ6Y2LIuNEWQVNy/dBW\n3+VsLIPI7aH6L+N5fWUepYAFzVknfX+xcvsKWeVjBK0OqNFDFJDBPkTgNZZ6EoRynTLcmxiZ46as\nyMLsI5ZnX+xF3KZNUAAHGuQSKvoShHR4nq8BwpP/xEY8niIiyNWnT9n01YklXzNB+67ZjWPe1Rqs\nFJt3ICR9R9Y+8jtfrOFZVQ+EYBVzn0Z4FOVZrxM+IMT0iyEiOLRrnRKjT8QbbO8D0zLuKHbCeh6y\njq58i1mrbc1T1rRr5HVQqK13ZgGF1ttkQOjjPGaKmIIKKiHsQYEyKCESoaqAnW+Veq6zpbSFcMzt\nbkkfpiwZxYx96I4+EFLfOmUkx7MVrmgVDfSE10zpGjt9/SH3920hNMkeZsAzWvqIgoSUbNVo6Cur\n75jy8YdsaJUtyLgaFe39+NK2fXtN+1v/z4px7bn81qfUpaJ4OWdrZkYNQdRz8hESxqvH+/ZP2UhU\nNFtgGUQ2t0YwhJGx2n5haxnPV+amAuZNsOSm/U1TWsuq4E7LNZANnHRc3rDEhMSqhsrXSVjiVbHh\nTZvMMnS/46C6vjgIYT4Ut9Ux3dcSpUPIEyRCBSxfFiiFJdFkVjZfkpV4Giz7ZS0a0NZ76Dchz6In\nWHi9BBhYNNA7AyOwoszlutIUr4WHM43cAyFoiQKY1YY8JdNlMt+7LaP97XoJi9qozTZur81vXqM4\nNEhxWYLbsySZUZ6tYuTZtgiC/k4B6lMQFYowyTLeEexMoZuzrf+hYzfgOoYqw9R3fKfFBV3vmcpq\niUBPTgR0ynitQlof0f+HiMDUryt5x9STU9EaHGYrCEP0EV4Q/lHAvCWJYn2kr0jsW0Y7kl0UIiUr\nK7/19PvqU49ZytXMlnlJO3K2vP80YsTrJ0Pwt36E55XMYWZEQFPqAin1mnafk4G3yyAGprarhM/G\n8az3r/fsZH9zJBCGhNrQH0t4Gua/k0os815KE2xckz94oPOQzNc66AmFZFPPcz8PuE8B8zRaa5yi\nB2frELzCPnKP5AiKl8ACFVES4m5tefV+iTWZb6qDUXrLgsvqc6ft827FTEG3+pZBiQhMnd/gjZFC\nKVuzdRHEM+5TzPOULYu2fvS83qOtCRjZ1/MQ65sCZjgRsry/oRjnPOUNXeNd9bfWC7IoRoyd3KsP\nyrTnqboPysBYDNkH2TH4CCmkPwkd8Jx5wLMMo5TVbimZ6k1Vz9q1ciSEhYZIf2njit7BeBXTROpa\nyZiJgq7H7Wtn4z2Gu7HGuBoK9aj/MhRwvF91ggK0RpPj04iBlDyGadflHONHPxSemUYMAQo4/Om7\nlpNT28TUVsifPqKvzENQMu+wW6RP0BlVXyzz2ZsKeNZDwG9Jwph17aqcZzWLORk0GbwsNplvUUjT\n6kogMEy2Syy3FsowSCn2duBTiiC2aR1TDJig8V68YJ6EP7E5g2GITJHI+7uGgFWPFmIfun+nxwnA\nuoKP8sB7YGUKyJQ3sXpE+VoiUNwHhLho4gkOzemd9SzCZijblXfFc8j0pmllaSvKTl9kgPht0Fe0\nZdr9855TJoWJxwy7atU71yoTwr4qQR5vNezcA0lpcyMoc/13JwoYulYNo1YBz3pnxgQPlddubIGv\n1Ul7+zNGKLBK6m2+ah9BSRjCCV0Zd34PyUDXt5/f6yt3q8dqm5AnNRSjbdtckq2W33c92VD7Qd81\n+qpQzlAejXvaZWRNB9U+FLBxNC2kkGdawnQoxybXbHcLyUmYK2XoM4yGlVPAqeA6bSU1YSScP1m0\nBjlBNCvGsaj3bDPLWdGWPowHUZ8jhhXYtR7Pvs5I0EiQEGPRmRGFMg1SJmiTTJOyKOTdyoYmKNrV\nkUBdvN6KMKgbL0Wce1Eeb943W/0B9LQdYo0HJm3vl8zFMBqCNOv1+l+Soig4YQVKuCq7en3dJ4Bb\nb7aer/uESwwfCq5CvyeccMKp8hMIVd64BBneflZ8S5kUEC9miCjotr8PXdseZyRUOJNRVvtslj5s\n78tvUCtjV2gDsiJOrT6MAp67kIbjs4iiZrB6D4qoKm1hjb7kIUgBQypw9axnbOW8NolxwzM1FSkk\nNtoa8jm3ky2DedbqeupUM8z7nqe/1SRURhXoWhvhV19+TFsOJ0HYaBkkXFI9dM9gSJHP6robNLcH\nvKjKUEAg1L4/MZx5hcs89UnGsk6ahddZbGDCeWANQjGK2/MoEvHjrRBPr8LQBOKQlwTaswTaELHG\n48WAvCTyIMK1L5vXOZ6AOaptFifYWkfbKhEIbSxtVhmeRbBX0vHB6H2EBxCK5z3veX2nd3SM9z9v\n/GkrD5K9q7/p37P6sPdOe+mLPGt9jQKhxKcRxSljfB6CIoj/IuXGm/O7elZ+I54iwSoxjIHYfgYS\nlO3ZLTxpfFFWvg0+1Kb/+4Th/wwjCi5kXj2DB+krxmELIedaW8I+uRPaWKa15DhKGOmDrUHBQJds\nF2KokktJnoSe1bnpxm1rIDOewKqUyjJIO+Ep2cMw8G4hYYtqtOT4qmx5unV1QW3MC0bCL9pXn0x+\nSltvOQDyCqzGuAwikxh+ldQLqrAM9K0+J/ubCtgg4oEN/S3K0gLlGBh9fzyAnUC+ealsY5ETRDWh\nxtzPeWJVBJLM3BCLqYXtcm5oy4KjhBFlyOscUgCyqYeUs/stRm9qky2BHeIVDxkUhBZolMKuRCBN\nW6C9Xlv3eWBDMFy9ru6LK7YxZ6hEPHhCrb6POmu7GE21rL3ef+lLX7qZGVzrQjDqv0I1Q8k69frs\ng3kpNm1oqcZZ/cvc53lzGMTWA+vicYXy4lmlHraOsfy9A3jWPsWdjHNGnClIlG0lRqHjO1mK0fub\nulJJHyGgY0jXc9P2jW19x5gw/vKRlRZ1YownPqw8aIx4NgOKx4zII0o51MqnyBjyMdO0cu0itspX\nb2PImNXPtBMZxoOcFoNdxPN3Uob2YzgwoBg/VYdoI+iEsa5v9skUvBZ7X5aRwXjiie8lbSpgGX+s\nuKE/gmcRZJ6kRJi+PwNmHhhu3noQIIQCKK615ucpQ8MbAPEcAmnPc2+usWSkFWuQzFeeDyNkOyQB\nI9nChKspBkhH9ns3iFEyKz7UV4/2nkwDAkWLxSyy3fuev6hj+MzLrcR4MI2MAcV7ojCmkYEfJCPX\nSWqRsRwvLsfbLeONAG4RhfY6v6sHbLnHKqzjWdX76rHcywupRkEUTr2PEKUY5oEU632z9sHgsmC3\nqoCVy0iwjrj+RaEynlv0Sp+L4VeRLlByphZ6Nx5uxhpIteYQhB8cl0Wvl88zhAJl6U5yCJ+hFMJR\nnjmPIzGLz8s6T/7qR5SwOlcDiAykmPFXuKlv/jwnTWih7+tai6gzh6iVO8bVoUOHFlH8XGVsKmDY\nvE447a9CRHOVvscXifPqBAbPdqxTHUYnYMmhDLatvBZoLPAU5cvC3i7xEHRUSp1wCdRpoA5lZzM+\nhmBN8a2+mJb6SbTp+8whBQwK2woZRKazUDwhCti7qNuyLNw8a5FbBlDbl/AEiWmLHfYJk9SBQhCD\njjcAUSCk5iUe27zKTswwaItFRZJpTnCDVwm/SlHAVgECzfLMeZDxol0LnuuDmY2zeRfkqM+cti/e\nLiYHKanx4Gn35Jw8Ah4Ur93Sh5AjhlM1fLy/PwaNODFIt4/EXYOgGXeMgqA3FLg6GuMEur9FkLHt\nM4LQCMoK3xkFYFwktKAeq0zGgT/ebRY8gShSvPGAU/+h3AHyE3rWoi65bydb5bbTukDSnNHdok0F\nLP1cZXQgQW9TQMQkWWCsAudavHy3Krnd5/BYCTdWznbhMe8dBWzwZgBspU7WqV1EB9I28cZZ6Ton\n8n6ESB+JK1ahU68h1GqMJueURTH6lmhLBk5ilu25vt/qSwnwcqvAoPwJcs/ZyjSJvmfs5rFWcHg2\nIawNvIf3ZagNkXwASE+Un/CEOc6+xyokkK/RDN1PIM+rgNUpfYTQg5QgiqnvU2tRwPo7yJPXTAFX\nz5ki6FvIhaB17SKJYmO0yqZt162e9RztxDCSOEYGMMKtAeAdkQxcOSeZZmUcxBCUaFY94vosMLU2\nilENlZIghpxbxDhnnFG+sqqTLGpFrmrA1jqt6j6jBXrhT0gD6YN+t+NI/kBrANFDHAv5IOH3qr7r\nduu1qYAVYO6bGCS4VsMfOnSoy2Iz4OZJGd9uJZZ1HwMCLEYQEXrbIbCSwDxiCW+nI0h2wtO6gtB2\n6kKBgSkpLYYR4apDg3cCpdVyKV7eDAEkvtiS98KjllislGaboew6Astkejydh8TZPBtklkQwdZVA\nxqCgrMLfecrb62skZ4hLVfI+2oCHKdZurNRFJOq1+kJ9X3wkWHk0PJzEHus9dZ8xbOpMEpTqubrP\n067JWmDUTL1jJPQpS8rJe0B9THmTCKX9eLezyJSUeedAzyor5/XfoQSdXDO0jYDHV/2f4czr59Uj\n7USRUnTeucYCGYtVkUqcrMbj0DONlwrXD10363hWt/K1MKTNhXCGpkzNKm+vzvPc6RBoWuBn/Ofd\nB4JO3czKgMxUYhBR3LYxWOv5re5DA/WFUDtFNMd3c7s5yZXVdf3rX78LiLcftzZ4wc8E/zp5waBP\nDS/BIxDSVplLGO2UxAVBvX1r4G6l7ChakCCPhgJmNerUfR6w87wI7555tu3zApnVDk7wSfig7Pum\nGvQp5rbc9neFeigdXhyqWabtPav4G6/bxRCMCeEBCli7UH4MrrxjfQ+eWLwBx91LwOqrvkbEO5hG\nFAPlMot4saamBcVQ70DlBBHvQvtWooAJeh6vnA99wIL/e0X67+Mf//jOELCow1YyU6OAGcxgfkZO\nNRoZkvF+2/cLEpDjxoP2DIoGWfNd4zYjWoJcm+yYMubdUk7x/KK0tCVjiKHXB//PW/ZeXFeTWD0/\nChjknBCa48mTsR/KOJN0KDeihkJyzVa2vGz9myw2jnZrGua0Om56wCxNAqRVvm7mAbP6dcJ1IrE2\nHhbBM+SR7Mb7UMCUoNjtTogAMQgpSx49L4jAZuX3La3JO9bJKcwqfGodKAwJcbYhSpGw86yWfOxb\nHHvepC8JGLK2eQZZ1lCZslQZB/uBwKT6mvEDumTN1+xa3lMgTUK6eq88r/CZUJoGX+MhAc9oOvnk\nkzfjyH08FKusn+iL4HMtBXvzm9/8VLcx4hh5DIJlJb6c6qEzDvC+zd/lMW2FxBx5TrxXss3c+T6F\nywipc1U9g7yoSYOMq+OPP37z8bxp12hj89sjW8ydHRpnmzfP2NGuZK0xHWJAqGP9bnXOrdvWWCG/\n9ME2l2LoXSjgmsE/dN2s4xC4fH7QOMo0zln3LfP8pgK2Msk0C1N8qy9euMzK7aTswGwEmsG4Xe8T\nMgBSNOm97yMJ89SREJlXYU0rj3CMpyvJRJgApMLKt3BBS1L/xRx5XVXo1+tY1gY8xVqJwWBua0sE\ngYEThdKeb397b23g+nzcgEVvQO1UWLXP2q3fhw8f3lSa9ZkxdCRxeL94nObVDn10QYwSPE8xg+DE\nUpOgVcu2T3CJAdsKE0Twt9flWvBxqCpgY7lvPKgvD0uCHGh2FdrH2IEOJD6b95m19X7GB0XWB7fn\nfsq0Qp+MGwjGLKSPUwIZhDKIqTNadkoQRsaasV2J4uCVbyf8VcvZi30Kz0dHQox9SAIFTDZAFxDY\nvZ33L7bOeBLayKyJlKPvt7MRcm5oK+eFkbxKtKmANbI0/doZU1ECQUfrE/K5ZtW2kltYk4H0tgvd\ngIFky+kIEahbfVfwCS9wp0QpRpFKhuHdRrFTjOnMnkOQsNBZnBJ8CKLAzW09JLgoj6LW2acZWuIm\nlPa8CSHKpJDE2xgQ4DuesPYh5KqX1tZrVX8T7DXWp58lM1zIguAgxF1DoGqHJEC178TTYvjiE2+Y\npxXosb2WQk0CFM9rGoLASFJmSPsnpqjfVMQj1zDujBMQOURFPzhhY+GPvSQKeDvZ1eQY/hO4xoj+\nF6Qh78PIINNqSIBxYyy0ZJ12SjDEK6aAyRfjAaIjqavGjnPtvFttCoE0TipJkKU8hATWjYQw+urN\nmBAmSB/Vzi3KIRFQ+xkjrTFobYOtrpYnB0D2unn6xsCyvrK0lTbaVMA6oQFtzdiqaFh2mbKwrK9S\nbKXC817L4xJ3JPBPOumkHVmo+AIG2k4G9Lz1nec6HlaWQjTQJfRkbWLebowNZfF8WZmUHGhMpyNc\n+kgHBztL2CLgwZdI/Lf2hdxLUcxr8RN+0AgGjPqw8sWtee6UeJZKTNnrsLUyT+0LlFvm7xIY4C0Z\nrAQKwcFoooAZHkNhHMqhFTItLyiUQNuU8VB7us8UslzrNy9NohSCdmRxmO7Axr8+z09C2JAxkPuW\nvSWX2i/WzPNM40LSo7ELgQE31ncBa/qbhiLU5zBYIDchC6iY2kXRG5fQMSvEzfoaVO5vt/qGOgtl\nMPAyzl0nZmlMVkSjvX9Vf+PNEJoAiQkMDbFokxshAYwbbdTyVbLwdhABso6hydlsPW481J5b9ax3\nwvtNBaxzmvhOUAh284h1MF4XYS7zddVJEktiVxSwwUcBGDzTYmuz3osipzh0hr2mWPFiq2A5bYNM\nYakdXafNHFAW6CwEQBIEBVzhL1YiAybEw+ahUcDzesCUrmQkSoplj48QFfE4A2ERSW6p315tCQ5j\nBVHAvF6ClOfiPR0zrvTN1qBhkfOkKG1JR1adaheMEL/UFvp3EAPKADKjH/QRAwfPK5kRQNEm2aqe\nq4lH6sALNHa0314Snmx1DrD6ypHg3R46dKhLwrSalX4bYuxAe/C6xgL1z6AZudaWt9zWA5wqZIAo\nA224XQ+YwWTBDWRMGHeRWbLZhSqgKutG6lwRNXIJLxEFjN+zSD9sF4Iy3sireYkxmXXazXHX/rU/\npBzjU7b5EGKV6xa13VTACjRgvah4lSw/c88Memn5fZVdVCUWVQ5PK5Y9AUUBE0QGzlZjSLVOyuFF\n77UwUidZrToHD5Rii4Ik6KsHZUpLvlpjbWXKeVYiQ2thZ6qAQUJJUAIsdfFKCmYeYs0z5vBOViNB\nwojwLFvKad0I9DX0UQJChbeP14Q7hSkpS+yWRyojvxKF6Hut2guB3Wo76MfaWwyXIUg5QD5Y8tZk\njlCpZdrvU8AEFgHI8GlhzqqAtRdIUOx0p5mnbb1267f3swCH9uBFV+9VHfRDqA9Ur84/xZ82KWuo\nzngjSxtpa0b/dhUw9EqyprbXtywcIimPgaYPyYyuHvxQnVbxeJ2exkgJalcVsPaJvPIOZHnGBO84\nnybN+0F/hhbvyDV1q3z9PsSBqA5LjuO3sRDPPMeXtT1KAechOqV5gP54WGDCocSQ3LMK20w9UFce\nnQGC6eCb7cAVeSdJA6y4vmkluWa3tjKpvR+DyBq3OiplzMJrvSt1gmpQmhY1n+UFt++QxB2eEwOE\nAnZM5wdpzkMWUWDI8UjU26AL1GQ/K+TMU9aqXEOI1MQeyWWBexkUhDDvRdzQgiMEOuHJkm/7kLIg\nC3e7292618MbSjhE6fKAEYFDsVO+vFQGl+e0aASomtJ2HUpugHgco0o/afsCoROlzLPzXG0th2Bd\nSX9FHAtx+j4yjoIqOQ8t6ks+FN9tExVreXiqffF+O6S9+qaXkVvksfFXDbPtPGMv7oEC6WtxFCJT\n1MVYiaIT0ql9jSKUnIjwoEUfh/JZuht6/pFD9aMOytTHW6IzxKWDbLTnF/37KAUMzmItgi51OLFD\nTBDDqjGJRVdiUeVlGgdhp86sSp5X5u9t9zmEZF9jbbe8ndzHqifgdWowjBgLb0f8ifdvICPZh/a9\nvwUYLCjSCv9Z9ciUAYqSECdkCHXKBsw6i3gTrFqdHbxmEJh7B2GhwMSb1ymvIO8bQy+/KcFY04QK\nhegYI0Vs2GDmffIqQaotUaStEm2v8Vt/ZnD5lCHEA+/0A3xm4Us0QgR1/WIVY5RQ4UkYI/oQVKcS\nJRSlHIUNiquLhtTr12GfUQO98V5CaJK5xPiqJzQv75VBJg4RxSJcR34OEQ+5b5pnlLaxHNKekBYJ\nlN5hJwheytyrLfkRResdKU/92PFA0I5nRTH1ZBhl4RFtVmegiImbPsbp2KoiDg+sJLjTaaEpayfb\nTWmgE+gcmMBjUUFMYdV5UTEhcPRWCP6/XQZt5Tm5Vn1TZ0KJwDIosgJQrlvnLW/XYBciMDh5TDox\nQQKOBA3zvMwZpCgYIv60w6y2EIfqmzKgHHF0ip/gJsxP2chsnkWUTV1og+dsQRADimEQpTWrnFU7\n3ypgygv/EYtf+wTyijKGImmzPjL2EhcDX1u8wGIZ+M2A4Q0gYxDkKZGLlyp7mqAyPhlHMTTxuULH\nvD/jwFhmlLnOfZJNQJ2QCbA2lALpU3lmd2BN/6WdbLULvjJG6neB9Xe8COFJX3YsA7yNOWqjIB/a\nHN+nGZTGTvtdbM81tiAT+oHEIPkcFo3gwfPeJcFarnRdqXq63sGUInKMUcEQ1//6KIYgQxbf0ieh\nkeD6EzYy9KPY++6vxyCBgb7r8b3e31TAOpLgvw5KaIpbGYi8SVYzizsJP7XSvGYp+TqgjkNohKTm\n1wSHHF/m1vPUiYLghYAu2hV/lvn8ZZdNuVrTNsKSIiNYs9oPgSrxJLFBgpmCzpqq0+qnzQ2Mlggw\n8UbtDMYB09WFCdrr85sSqPE1xpH6v/zlL+/6yboqYMI4Wc/etcZP/ebx5runoDdLvOJtIF7XVKJk\njS+E13iGT7J08RyCgChzwhoR1lApsKgV7GTlJnu9u6D8Y3gRXrxAkDhly2jAfwLfGGdcUx6uE3rK\nM0sxa7cbBRy+GwN4VqdTes8K+YvlMtznIbFa4w55Vh95ZoVWgzK4VtvJuYkCJrOEe5QFzRDa4O2p\nozGzrsSxqwlsjHD6AlLD8IDgIbFijhMy7ZWCDWV5Tr/pIX0dGke+zUPKYyDNIvyXcQ19IFeXTZsK\nOJ0gD/RyiSE5phO0wpnlwmOWYMJCSxp9LJWUtdtbQotQMpDUu1q4u12XRT+PMGEsiQXKqmWF6yjC\nBscdd1zXqZOR69mMEYKC0p5GBDpPqXqsniH+2K4XTWDj6ywC2QW2Y5iZQ0wYybTmifmm6ToSryQJ\nI7x5SW51cFPQhIqlCq2DLfGKQsa3PoJaWGwCMRj1W4aVfnv48OHuuH/ayEcUKOZ43JsnB3YYADwo\nyXuEHr4zlN3PKDBW9acoYO0qVixvwLheZ4oCZoB4X4hcEnvyXsIyEfqOMaaq3Mt1thAnAjrEwOec\nIAgDQz+xzlzD6MRvZAU5iiBOCgeHoQzBUFfhGW3iK1ZBMIw/7TCEnuQ5q7zlAQ+FvyoMzXHIGMFX\nv0PGRcI38YAZM9prHoLaaaNZxFiGkNCHEk+XTZsKOA8iUPxRrjpu/Z1rshXLI1CtE03psdJ0dBP+\nh2CF3LvMLYEnqE+QibvU73cu87m7UXYEidW5ZKsSoBSweKqYPfK+BCiS7Un4iz8e+12IsTvR/CM4\nCP1KrFM8TFuy1nkIrE4JYLPI4iP6DxJHB516DpSC8KpKa1ZZq3oePBYBmzoSKpAIMBn4H7LEu+F5\nziJeKaGCb60FzgB2PkJqVlnOg+jE2ygZbcZIrhml4mCZOZC5zcY9CH3dDVdQO8HP42UkeaeWCGUJ\niiF9e0gB40dNviOko4DdT3hT0pWipCl/sohHS24ao8aSekGXGEdBSur9jD3e45CHXa9d1X2GI0eh\nj6oCtjxqZBTZlpCK+/RR40FZFg7CL+00jwdMRho77plFkCHtLLwzbzb8rDKnnT9KAbPOWMD+QFPg\n6Pxu52EplFAn6OPxEqjmrOmkhFIE97QKLPocjw9849mUB9hulve36DosszwK2DsRnBJkCHUQM+Gp\n0yKGUIQIY0TsqUI9ffXjtYmRQTQyWBxjhdqKKfOUCH8CmtCYRQSe54fEfMRy9CnxnTYRKNetwzZe\nfF9dKVxeqsGMIAmg36FFR2Q0n7SR5RqSyEOwtF4PVIeHJE6sn4fA1fpEH5kGBgZl/EiCE0eu8Dnj\nGWSedqIUeFyEXWuQ9ZW/ysfA8gxQpA/3KWDn9ccQQZ2xk2PZkof5QIBjFDsFEpL41iqE5F9QrqYT\nQTSgWL6sxohmpFHIDFN1hBhlLYOUC3JdhQ8HpD5b3dILkKDoA7qFIYJ4x0nESrnGjzBMYsCOk+F4\nA1HIOuYWu0m/zb19W4aSvjAPGUdkLFkaJ2ae+7Z7zaYC5kGx0Kb9GayVVBQTMEwnQpIdQJ4GsuXC\ndptARIQ8RcH6BFME3tvtuizjeQSqqTuxvBk/BDzBQUHaSt6IYADX6FS8IElWLbULvIv/xaByLaFF\nMFAghL8VaFiInjOLCJWaFUqgG4w6tsFo8K0rMUzw1Ltkjeu8i/cS002MW7swWoYUsOM1v4JCBLnV\nrFBlM7IkDRljPOyQNvKMaaQP8BwYp60H7d4IMoaaFbMY0YFBp5W7yue0j7HA+OA5kW0t8YDrKkti\nfxk77bXtbwq5ojgMrlYB86R4dWkvcXZxY2OKXKIYhH0oYiEZ/anlu/pFvrZ1WIffYr3g98gV/S/J\nU9UDppjB+M6ZxVETz4yFdj1ofZYxCS2SIGeM9ZE2znztvvP1mHFCvtFpDKV5Ie5axlb2NxWwQa1T\nTPuLQKkPMCUCVl6FqYrzpsXAhhJDahmL3DfoUk8esMaPcFnkc/aqLKiDDhKrkQdMCBAuPCaCvMZb\nJDIwRMDTgahTdx1dNm2StLQZL6kmpbDUhRkIZpYk0lcMpqEOn/L1pTpo1J1iUT+W7LSM0ZSxqltT\nJAhKvGjXuiVU9L0oOhnOPCcwfB+x9HOt8+5lZNVVyRwnxBlb2iNfdXEcP2sc0zHEyHnUox7VZTvz\nzqBYntPOiU381z3aBPTnHYKoOL6OhCdWPcIzY6TPA97Ke4mfT3MqHvSgB3Xypi3T9C/GEy9WGdqR\nonWMUUqBZCxIRMoKdimHk8N4WmeCNJDFCBScOdpVAYPaxXkpa7Nw9PMQmUdmkEGMqUqmlUHt8HSn\nZLok4xpx5GrSXHdwwf82FfBOyqVkdaZKYmMGMAbvJrFgAikRZKzMKOTdrMeynmWwiuXFggR1srIJ\nW1YbQZuMWnWwqL420JnbbwKDGQkH8A7DxXXKqR3cMRYkBSy8kDmUgcLrexIurgGPKk8WfFU6hAgj\nQBk8Y57BuhPPpV0VTP8zHhLDFXeVfYu3fUQBV7iNoD5lI2Zcj7nPdDp8b2lIAUsmsYqdPsOr5S2A\n9lqhQnB9YiMRSLszqvxJ2mJArTOpP9TOlB7z4IcUMHiUx+/922/81vfHt2lxfCGWLB6R+4QNjAWK\nA//dLxsdzK3doIUShKbFeLU5BbTO5L0zI6IqYDzLcWiA0KU16CWoVefN/VBVbRXZB3HgPIDyoXND\nMLP48TTDqfKV8xhDoR5f1v5CFPBQ5SyGvtuxiwTRDSYCj1LYzcW1h3ixqOOsejzVURAjh+JlbBCa\nFOrhkjnLow1MVhWreymI3GvRAh2eh0SIxELNYKGACeoYM2LAVZAT8u4DYYtngs3y9R3PItQNNM+z\n9GLKcW4dyTtCB4aI8Af/h8DKNcM8x23F8uughxpoG9B0RRl4EfGUaqIdhKcPKiOwZDTzJoJGCEPw\nJELahIA39xU8LUGLUtgP5D1ljSP9mEHTQsTOQQAs9QgpSta+4y1xKhJuMK+0lSuMpspbipfho20Z\nycrWDyAbiSXzzoUAjC+x/b6vpkEY++Dztn6r/BuELoyFoKVxzCBI5AgjpBLeVTKrgBIF38dwZ1DJ\nnzDrw+IyQ6SP13YZum4vji9VARPC4JNKGEtJ9v2BNVurv947z77pIWIJ4o88N7Ht/RQDBlnptDVR\nxDEWvLgsizuE14FlGCOEURVAVQHnHlvTVrQPigIm/CnPKHPCqBJDhxVPmPsyE887Vqd25Q2zXCl4\nynrdFXCEBjSCMm6Jd8OrDBHC4lR9ipJBUiFGEDBPjMdblTg0IYlr+B9lQQHjeUsUsP4fUh8Z8bXv\nBH4GfWpD18Rzz33rvPUuDCXCmuDuU2T4AS2gGCSszUMMlspH9/By8TOkzbP8oXHE86UIGMuBmYV7\neHHGjjIp4pYkZWWubHtuXX7jbTxX+/nwhPpTxnigrbI6Fb7UfmiWjeQrHnMQTvw3nsglMpDxmDhz\n5QuDhxE6D5mhEdlHTrXhmnnK2Mo1R0vRrdzZcy0FQIH2wWS5XJJDBHOOZcsarBO2c3wr28AWIAv7\nFBAvcL8Q3hLE8YC9l1gky5CFif9gYNewrMUxJHdQfKxMcxAjOFjhOrBpGGCfLFiSz9bF8o6y1clD\nPGAJWTJm3R8F7LxY7wkbsWcWPYOAF8dSBdd6jgET5ZHy1m1LYIo7EQZJiKvvQNi36A9LPXMZ67XK\n8hdKDD6GVZaDZOXnXAt15t5s9Qd8J7zBr9qcAWAeLGEWSgKWtmEI7Deyqh/jU/IiFIAi5oVWwue+\n1a/qNdm3JKI2V47yKuFxX6Idb5kxTL4hbQepQjxjY9B4FapIhm938rv/zE6YJlPrtau6HyXbV7+c\nM2aCqjFYIBJJSGP4M0Ii35WD3xwKfVjIJ6jTTnJ+KFyZ64jcSzy4O7CEfzv2gL08DxPjxCkoBszw\nEulwtd48VNNk+v4IBxbOdslcO1YmSjKSxIhqSW237FW6z7STdFT10km9I+WK55m/RrDUL5Ewblh1\nIR2VUpDNWbOVlaPz46FkIPEV8HXt2KZVEEJWxMJ3CpiQIEQQJQz9UBalQ4nYuodxtO4ChcL0zuLZ\n1RgKbwmTNjFKu+BVS+JdIQJexqfErShg51j2lMm8xMjh+ckATvxQmIECj1BTVhRwym3DFDm+rlvt\nREhDXAjoPg+YQaJdKM9Mjxl6X/2YItAe1WhyPaUBfUvYQOyR4anfQzUIdG1rOhIDCTmmbpAO3nNN\nPOou2PjHK47Xl2PrtiXXyag+hDPeMZmizyOxe2hMKAZM/SYBGcLpA9srG2+rjDIjhuHFcI1Xm/KG\ntq7LeHFNEKeh63d6fEcK2GDVscApPE2dWMckaHyyjucJGt0t4lVJOvHxed6XRjf4+gyB3arTMp7D\nW6mk0+qAYE+r6AQmlnFcM1kpbdB8JdfyhGvH1qmTtBIrn+VZl/CTcU1wOc4SBfcTIvGiKHbCDgSX\n+niuuhI+FhhYZ6LgeFIGbJ8xQQF7zypwZC4n4STvTrCAx8TIGCfQBEJZYkkMK9dqkzaOxTNyP3J/\nwg3dge/+o9CVhySppD395hlSwIkrOyahbD8pYUpSPgOh6t3xuCXvLATAC45ibK/Jb4YqR8FfS8YA\nRRn+gZo9X9nGpn0fhLD4BmWNGHFQIkacMvuMObBoymyfuS6/8YVcjnECgo4sigeMN0F7jK8afgHn\nS+5sFSIEzoyEOrc9PBHXl4fSZ/AbN6lLrucseE6VVzm3rO2OFDDFxtORmcaKUXmDXUcEpYgDzrIo\nF/liGk+DiDXwxAh5DVPjYIt83qqURVAzdAxeA128FomrVAOIsLUQAyJ8xQj7iKDgLRkAhIjVfVjx\nIMwIAr8l7RBarsFnygbkjXRwx8DftUMzitSremF9dVj1Y7wS/TvzPNv6GgsMIO8aYgzWVZfwn0Iw\njemEDcieghDH0m8ZS4wYy4siQqSNA2rvKBRlSfISNx76UpUZAlWoMZDUMRa/9qOMWkWf+q/jVl8+\nZSM5ipE0pIC9F4VASTAmZxEl0C7P6h6GDKMsY6SGZfCWIYDfhw4d2nyOuLG+BDWUe9FHxpTxtu5E\nHsSTp/ygbKgqYMYGY5LhiDeVnKuyxDkIHTjfeOP8MXbIHuPlSU96Uif76aOWXMdpqZQ5wPXYsvd3\n1Kq8K4oulkytLGaY79b38vW6Re4TWuJxIB2eCUFCmMXaXOSzVqks7ykxiwDWyQ18ZLF3SECIV5v4\nF8WQZfMkSIEqK5kuRLmw+JVPqOugGRTiwwQbo0fWtcHkfHhtQOgftpWUSWFXT6yeX7d9hiZrvY/a\nRCw8TyY0AQOi1F6Er6lgBDfeENIUhzHEk0bizTV84Bi0w/3IViyRAcwoRpRz/RIYJVAVh0VYKmRH\nyOcTcF0B++CfUBje6YeMPzyCJlTiWZ20kUjHQKqhnXpN3TdVpg0v5LyxwpNCxqE2pwgkpJKF8jO0\nawwz48kzLbDCKO4jMWTje92JfAhvyInMtCAL9HsIJmdJIpywWJ02yViszkR4QZHHkcA/KALeCr8o\nQ7u7t8pBbacs4YJKDKE6Xuq5Ze3/Lza1zdJ1HEwiaFkhlB0BoOMR0KCWNgt6m4/a0m0EFWYacASe\ngTWPZbulh6zYxTxKhgeIV6brC1/4wo73eBCqMDPrL16o5Kw2Nkl4a1MKltIE5+AhgaFM8RmQtGNZ\nulBcH1Eksnh5c60CFtsRm5lH0KXeq7plRVuIJnGrtp6UJz5lygl4UxuhTJugBCUmUoSEiWQ5IQZe\nEkUcwlOLpkwjxmed9w7ujjHmPh6zmD0FZFEO/cHiKyEKWj+gRPYLBdL0PnirL/Ow6gIxFKNYPsHN\n8JlFEAuKvI8o1/Rt8VxGmHY0TrIak+cbA8aH9mGACR8wnPSZlpzfD/SmN72pQ3EYeVUB84q1BxSV\nEuYRQ38q4R1e4m0db+LGQjvCYco159t1DGO8pHiNJ/HhUzYcBsQYgizVz1I6zgDdbT2xIw9Ypb0w\nKBpkSWATJGAsA5tg0el3mwiSeMIETZ+Hvtt1WvbzKNNAKkICrE2GUTxSzwfNRNFWBSwJKLBZ6skq\nZchYlQaaoEPzhuMBUyTxJGRDP+1pT+tgH/ezSPG/Vb4p231RRDm2jlvGpT+87iMCoHpKhDtrvPKa\nIMcLMDB4zVxuuROECIUJedBu+F4XWMnzJGbxkNQBNFpjmNpF1nklylViHsWvD1RFRJglhl/vWed9\nHheBGxKeoQArEfbGirFRM8TrNXVfGKcaR/Wc8RaY1Jx4SUAQEopDpjNiuGa6oHblLFAQ+ktLDIN2\nbej2mnX57Z2DsGiHmjvBcxWuhKgyOOoylBwooRO8EkarJOmW1wyBg0yIM5urHfljzBgDeEuOIf3B\nPfHAa3m7vb9jBazCPCLMFUcxhYUQqJbnbr8UYRZvT6PsF7hzGh9ZhYFoJMZBIwjUClsKCQTWqQpY\nh+8zUsRXCPg73/nO3aMZWzwIxJoF7SEKxcBIh/Z8SXhDtF8UsO+cmreYGGr7vgY9DzhEAWsTCVah\nJHH57FySpZzjSfmzshlvSfv0QZSypXla4sMUcOZapvxseQIS4ihYisGnIdvwEEXQrvee+9d1q09a\nLS5EIVY4Mse1jbjhLDKeXBf0qL1ejD+KBaLhr203XlbCBDzgaV43r7x+eKN93rr+pnDrEq4UMuXL\nGGW0MkwZHhSs8IzsfUhbNRi9uz4sD8WYUgZHwPS/amRpcwraONUeEELGqX3GbchYjZecY8veLkQB\n10qCLqv1Us/t1r7pM2AH3gYa8sR2qz678ZzqARPqlLF1cGONqwPrPBnhDCVGE2uQYhaDqQRaBSm7\nn7I2mV1nJaQRlIGHhlj2BkkVdN2JgX8U8H6BOcGIQxSFaKAjXhOlTPiEooDF5pOg4py58qx5hhX+\nuydtl3ttKW3IE1J29YCtaGVqDfQCkqG9xfvrNd2N3/0njlwz3eu5dd03LmobQeiMjQohE7ym9jGO\n4iUNvS8DxziCVPSRtoJGGCtCcKZBmplRBT0lnrjlLAVMjjHO9gtJpGJYtkRhQiK8LwNG7J4yJleE\nM3ms5HgdI8rAS/Inaz2AkSGwyXWxNgIUgWEkzk6emXVgSzHX9jZ7Z9754G39t/t74Qp4uxVZ1H0U\ngwFlegwvzcTqCMBFPWMVy6kKGFQjo5LQrSEA84Cj+CgHylRHPLyRRGXJwkqs/KAYYjIGQl3lR3az\n2AvPDMwnA1RcReIXSHQa8Zj3AwQNHs688773JSwgEUm4MQ0occBcDz1KvIswyQpBrHlog3alMAiL\nxI1zb92awiGOmGc5pw0JfgpAmzC6+j7KkXJAsAlR5Nh+2xLQhHP1giU44RvFORROCB84GLzXzB3O\n8WwlueG1MQGFA4XKn6hOAKMJEqFtAkHn/narDyWm3J5bx98SD6scOWEj+5/MEDYDFTtnCWOoDxkO\nepZsyADlGXMWKun3jCl8RsaANgq6Y+xwFMSXLR5U292sjoo+UMZDaFZ95iL3F66Awb1c/L2iMB9c\ngaHx4vaqPrv13ApBizlZPENGH/gYJGwNYAPZgK8GCWhH5w5spr7OM2JYo0gnpYQJntqBKQyZhqxa\nSyEmjjYLxtwvEDQhMQ1qxzteaY0DO1aJIGfdi8nWpCkxYF5A2tXWsSEiZLRX9W6FX7QdRcDQQoyu\nwJ9tWbLipxkU7fXr+ptxUyFKQpfitWhGn3dW35NCZMgwlPoykylVXrKxxktmxGb1slpO1nye5QEL\nLYBm9wsZD2RLCOIiTMAJ0C/1T+gApUwmMYwYTaF2/XXIHGQnZExGbjnGsQhqJzGUHGtDArlXH6hy\nMMeXuf2/N1vQU3Ru0OdeEYsJlMaS0rnrtIu9qtNuPLd6wDqhDizOwbJkkYM0QTG8IvGQzAfuqxuF\noaPGarclBChviXWU+Ukb0zZYqiA9Vi1DRxKFJItqVfaVv18UMKs7iELfezrWChzLfVYDKPexzinh\nJPcQEgxIStifeBhrfoigChRDGwOuixu417OHQgW87EB3Q8/ZD8e9ZzUkCV28pgR4StOIwURp4GOf\nIKd4KRRIHGXOITA2W2KsMmAZRn2KPNeDX5WxX8h4SGjQO8kz4bCBfila/BUyMa70d3Bx5r8zQLPO\nQPgBTahLvpJ9mZrnmihvvPYMeSwVFUw5thTw2nvA9YX2Yj8WEOEImkjS0F7UZTefaRATJKYUgWxM\nkdFxWZWUqTgJWMxcYAqQIkWSeNxDoVbFYJGJkA5NULBGebs6sIEixmhqjPgKJczTmqYkUt5+iQGL\nNc3yTgiNavGDyGrCm6S4LBfJwMmUE55UFsVgNAmlVEETXmZLgUjuIZCUg8B7md6S67Sj0ITM0pYg\nJQchYZFXqg2SNEhIgzvF3PtIgo8+W4lBW7/JnHNRwAwm4QbjirJtSbswjuKdtefz2/iqOQM5vq5b\noa86HrwH3uczkN6XHCJzGJOcOfIr1MaAITbCPCF9v67sluPGhdX7qrFjLn5FfMg8xq622S1auAe8\nWxUfeg4PGATBC5OcwvI5KKQjWp5Q8gf4K18W8f46NOOEwpVwxSrX0cE34iU6ogSSXAsWDfGcxZTd\nT3jxAPBXTJmXTVkoj3IX75pF+yUGPOs9nW89YIZP9YjEhQklAp5Bk4+REBSUpeOgaQbUtLg5693n\n8ShWgku/l4wIzUgsP/XlhQfdyDFb9/Lc9jsxIE2pq14w4dvnaVIW0CReGdiYoYMsv8u4wmf3xbDi\n0Rlr0DcGkfHY951a0zTFM2ehRfutLYTGGIZDJMHN2g22NZyS6yFFtZ20TZXxkkeNuT4y1YuzEYJQ\n1PAQr5uXbFpm+6nJ3LPo7b5TwMmABo0aaL6belAItEwwHN6A0sQM6yIchDAFSsjyUikBAh5/3Af6\nbDOhwzcwGMtSpwS7ETAU9qFDhzqPi5VPSfO8Jb5VD08ZErbMzXOvJB9WbKChPGO/bnmUkIOKLtR3\nZf0T7JQvb7outkE4E+QgOzybpYAZTdqVAmbxP+tZz+r2PaOSsdEHnYunUeQHgcDQNQ5sXOjDckcq\nEeZgTwiEOHsgUHzWViBNBigvGQokUY6CMaYYVhR3H7nOOJqmgCkIy73uJyKT2zirTOXa7xg2kLu+\nTHN9uxpOQibQiHkMR44JBR6i5IOC5Bg5aeWyPuWfaxa53VcK2ADiMfAEJR/x7ligB4WsfuVrU32k\nY4EyxYTFGgkQxgornOdbFXC1MJVFwBBE5ptS7khKP6XMmzUoQP6EiW8OU8ghq80QTjw4kJz2maZI\nct9+2VKEeJ0Bbb40hYwIc8lrMpPFz11HEYTwlCAHRYtNTeMbAUax6vN5FjRITLOF7RhiNQ6X51lF\nK1PLcmy/bttELHAk+Fhf7iN9W35DndLkOvymSCnUrHjmuHYj4IeyyrUtA3gaBA2ibldrUva6kzBW\n4rqcAU5Ajb1SwPpwPZZ3NpedjAlB5kDUdVpZzvVta//WPgnXuNaiTcYYDzzrSPSVschj+0oBUxyZ\n0oFJLMjW+l8k89aprChgipSHynqXyUl4GAxRwCAZyxWG4rXK9jXNyLxhihtvCXgemv1MY7I4hZim\ntgDXWfCBEWTahcQ41mqf95Xn7cctK53BgvBMrJHlLTmO4oznKnZV42MWzABjWnzA6lXasI9Y/4wk\nRg4lTongtc/e9WU8m+9YPYGUyQM+KKTfM9gjgBkkhG/CMPPyIcrA+KEI8F72OSRKzD6L2LTlMbSc\nn+YBix1nvfb2/nX+zQDMfFuL+bQQPQVsnMxal5kxzwFgxOCnPj30IZLwS/Kp5yMIYeX//2fvPsCl\nKaq8gbcRE+YMKuaAWddAkFcMmAUDCiqgYAIxLSIIfGJAAcWEYlYUENOaEMyKETFnXCPmgBh3jbjz\n9a/Xc7feert75t4J987cOs9z78x0V1dXn6o6/5Oq2qY32pVa43HdtD4XCoAlXIlxIsBhm0DWXqH/\nfWewAWtJBM0SCBq44uSEDkFB4NO6U6HNLU1TZMmJ94qhSDCRcaseg9VfJLs5ZrMHrjOxRok97gkc\ngLEYcRqzWQ99Azy57AkbfONqFqsSowee4ZJjNQHOILF2ChMipNosAucoOlEHBcfmG5Qs1kUbaMss\nzdcUc5EHGKlzPRCPjr2HEU8QxVPsPbwQeMjFPArpA8tnKJ6EvLlkjrXF2tVHabVyoM8C5q5dxFAN\nLxx3MDIn8sx7AEwR5dIPb1FTuP5H4bfbFbIxDSWT54IFLK5OYe0jlnWsAhAiSLdqpZBZG8xjREnm\nGp82LRQAp8wCKsBjEbdxS59zOd8BKwAlWLi/uMccwyu/DTxu6lRoO8eqQgSCySLxIQVgFloagyF8\nZEaLGafrZGX4ck+ztGRkrxcCnFyXdjTCJ1vwcXfhU7iVKYyUxXDN4Q3tntKE7NJEaLcRBSjAmeuM\ndc0dit9pX8a1wDrPdnZv7vD1RFz2+d7C3PDhNqYM9QFkzivriLk47cpEmLtWslcbsZh5PlILLC8n\npJSHg/Iy8/ibUhGKhXGX80hSqHHP+pfLkhJjwE6LFEbgTEHlfWPNsmzbxnt6vRBal6dHn4n/UpqE\nhWZBCwvANFIWxax8+bPorHHvYXByhdrVivYIDGzakQp9Aim1gCNhK+5N0Ntow4AnyE0UIJ1mEwJy\nIH96/fYRlnNKBI+4GYt4PZFlW1yK3Gq0cEIgtX65hQFpxG/xhgJDICDWWZfnIAVg3gaaffQJV2tO\n7psrpoCAQrCeqA2AyYvYRYlAb+NfG4/MBTkOLGjKEgWVWzvqarsGCPUBvFhpeDbarp/XY4A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14578qVhQMLyYE73/nO1Zlnnrn0zl1Z1RK2vBKxUOFA4cDkOFAs4MnxstRUOLAQHBAn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\n8N3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I3gwRAygAmFwBW4lVQXIL9Dksoo/GCC7std1j5e3l3EIAOD+Q6z/GuHztqr4Lv/E2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\n54A3RaprO9aCAzKXbYA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} ], "prompt_number": 9 }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Earthquakes & Explosions (distinguish multiple ts)\n", "- two phases denoted by P(t = 1, ..., 1024) and S(t = 1025, ..., 2048) at a seismic recording station caused by earthquakes and explosions\n", "- to distinguish similar series, we can again use spectral analysis of variances to find the signatures of them" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%%R\n", "data(EQ5)\n", "data(EXP6)\n", "par(mfrow = c(2, 1))\n", "plot(EQ5, main = \"Earthquake\")\n", "plot(EXP6, main = \"Explosion\")" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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IYl9xXOqgT/hRA6dMF5vUtW2AhflARSjt+ZRpVWa1SnGHgWLMeHgYMz9iUNMF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\noDcDiaxFIjB2BAYZ4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} ], "prompt_number": 10 }, { "cell_type": "markdown", "metadata": {}, "source": [ "**The fundamental visual characteristic distinguishing the different series above is their differing degrees of smoothness**. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Time Series Statistical Models\n", "- a ts can be defined as a collection of random varaibles indexed according to the order they are obtained.\n", "- its smoothness is induced by the supposition that adjancent points in time are correlated.\n", "- some fundamental models (templates) for time series include\n", " - WHITE NOISE: the random variables follow i.i.d. of mean $0$ and fixed variance $\\sigma_{w}^2$, e.g. Gaussian white noise. In spectral analysis, *white noise* simply means that all possible periodic oscillations are present with equal strength.\n", " \n", " if all time series can be modelled as white noise model, classical statistical methods would suffice. Two ways of introducing **serial correlation** and **more smoothness** into series are *moving average* and *augoregression*\n", " - MOVING AVERAGES: white noise series $w_t$ might be replaced by a moving average that smooths the series, e.g., \n", " $$v_t = \\frac{1}{3} (w_{t-1}+w_t+w_{t+1})$$ \n", " you might start to notice the similiarity between moving averages on white noise and SOI or fMRI\n", " - AUTOREGRESSIONS: consider the series defined by the second-order equation, where $w_t$ is the white noise\n", " $$x_t = x_{t-1} - .9x_{t-2} + w_t$$\n", " The equation above represents a regression or prediction of the current value $x_t$ of a time series as a function of the past two values of the series, and, hence, the term autogression is suggested.\n", " \n", " And in the plot, we notice that it starts to display *periodic behavior*, which is similar to that displayed by the speech data.\n", " - RANDOM WALK WITH DRIFT: a model for analyzing trend such as the global temp data is the random walk with drift model given by\n", " $$x_t = \\delta + x_{t-1} + w_{t}$$\n", " where $w_t$ is the white noise and $\\delta$ is a constant called drift. and when $\\delta=0$, it is simply called a random walk. Note that we may rewrite the recursion function for random walk as the cumulative sum of white noise variable, e.g.\n", " $$x_t = {\\delta}t+\\sum_{j=1}^{t}{w_j}$$\n", " - SIGNAL IN NOISE: Many realistic models for generating time series assume an underlying signal with some consistent periodic variation, contaminated by adding a random noise, e.g., \n", " $$x_t = 2cos(2{\\pi}t/50+.6{\\pi})+w_t$$\n", " where the signal part is a sinusoidal waveform that can be generally written as\n", " $$Acos(2{\\pi}{\\omega}t+\\phi)$$\n", " with $A$ is the amplitude, $\\omega$ si the frequency of oscillation and $\\phi$ is a phase shift. e.g. $\\omega=1/50$ above means one cycle per 50 time units (points)" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%%R\n", "## WHITE NOISE\n", "wn <- rnorm(500, 0, 1) # 500 N(0, 1) variates\n", "\n", "## MOVING AVERAGE by filtering\n", "mv <- filter(wn, sides = 2, rep(1/3, 3)) # 1/3[w(t-1)+w(t)+w(t+1)]\n", "## - a linear combination of time series values is referred to as a filtered series\n", "\n", "## AUTOREGRESSION\n", "w <- rnorm(550, 0, 1) # 50 extra to avoid startup problems\n", "ar <- filter(w, filter = c(1, -.9), method =\"recursive\")[-(1:50)]\n", "plot.ts(wn, main=\"white noise\")\n", "plot.ts(mv, main=\"moving average\")\n", "\n", "## Random Walk with Drift\n", "set.seed(1)\n", "w <- rnorm(200, 0, 1); x <- cumsum(w) # drift = 0\n", "wd <- w + .2; xd <- cumsum(wd) # drift = .2\n", "plot.ts(ar, main=\"autoregression\")\n", "plot.ts(xd, ylim = c(-5, 55), main=\"Random Walk with Drift\", col=1)\n", "lines(x, col=2)\n", "legend(\"topleft\", c(\"drift=0.2\", \"drift=0\"), col=c(1, 2), lty=1)\n", "\n", "## Signal in Noise\n", "cs <- 2*cos(2*pi*(1:500)/50 + .6*pi)\n", "w <- rnorm(500, 0, 1)\n", "par(mfrow=c(3, 1), mar=c(3, 2, 2, 1), cex.main=1.5)\n", "plot.ts(cs, main = expression(2*cos(2*pi*t/50+.6*pi)))\n", "plot.ts(cs+w, main = expression(2*cos(2*pi*t/50+.6*pi) + N(0, 1)))\n", "plot.ts(cs+5*w, main = expression(2*cos(2*pi*t/50+.6*pi) + N(0, 25)))\n", "\n", "\n", "\n", "## the method parameter to filter - \"recursive\" for autoregression\n", "## - \"convolution\" for moving average" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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O8/nPf35VOPDiqNxDq3LYYXzmmWc2D33oQzuka8tmTtwnqbv1mNvaZj8bb3kA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\nq49ifPXgcUG00Yc4kae5Rjt4EPkx/9IXvOgv2ooDNre4xS3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sbkLGkcAT3+iDs1T6hx/l\n9LUjZiTnRcsFoYNPSJ4HY8vc9gMd5snlvH1KxYfzs8XsPe95T3PSSSeN8sHWePohX3Ag5llnnTV6\nuxk9aoC45qvviCFxzIe+5M0ae+S8E4K9RHzicrCig4zLvligT47kpxyeOdE3Bq2kPXn4QpY8zBU5\nfX3KZ4yM2gVf+NGv/uXph7FzQsf46tOaC3OhDxHPmIyxYxwpxpBPLPyAoTWHzHmoZ4s+RIsOhL1j\nWuaAjPj24x5hT0Ax35ax7Ye2ce6uHTJ8Oj984BseREs+xo262OoTPnaO9U/+Bx98cPvxCToSelwx\nN8fYQBE/7czD8by0eQAPWCkKoFbEFgsF5mbFnboUBX0IHQqHmwuF6wGs71iErUHxo5RjB+GfYqU4\nY6EjQ8eN5GZBx/z0gS7ETcwnqa2crT/NEVvi6Fd75eZhzDh/+pHvfPTFWB1iqCt+ZCKGMTf7+NGX\nGxUZPrGL8Uq5MnHRJ3x59MnJvNAxnrhopwwb54IuL77AGJ9c0T821Ac8dPVp7vDpo0PLevLXlviD\n/hD+JOwl7Mg5UpyDfF/AMHaeN7rRjUa46Uc8aPVDPjGmOSKXT2ufGOQPNs4XHhT3EfbihB59x7HF\nL/mDr/yt3rb+jHHpo0NLfHIv81RuLuxZ1wZ95XiP/oxZ42HPnLG3/vDDxdxKUscckZMHY7EzjutA\nG/3HFw1lDMboQ/iRYjz46Dln42hD7rxjQz7o6qfEB33jiwNvP3MAR5/6VReZOdDnbxRw4aOkOJ9S\ntpHHy3fmRs50xrnFojIVitWC9UBFFjcVfYgipXA8gC1E7S3eVrn4oU5kU3Bc+Kc48cdGgedmUM7Y\nQkc/5hd99j0Bo+cc6EcfxnHDGEu++WBDn/nQh9BBHx4y+M7Xcau49CPeXOTZ4gd9fUW+ecnDv+Rm\nRsf8lBmf1rlEX8rJSz/RFh6xtIlPwPCcO34gxhBj11I9dV1n1oK3nDkkoajHuPQBT0I3YgAfv9hw\n8VeoaCFb47sG+BAvWnPHBl/UeeTrGzm6zo9xJA4N5iahh602zpMWcuwTcM1vjE0fG1rrrMxTuYc6\n+ZAXNuhGfXGJ81cv8sAEP1zEVQdfNVKHVjyYG/q08I1NvozhK8Mn+UN8G7ok4mPHFck8zSvmia5z\nMt4BBxwwWgP8YMeFHURLTo7xz/iwww5rnve85y3LtzXY9iP6ISY2fKv86KOP3m6vYUI+5Vyiv43a\nX47+Rs1yxnlZ6BaR6bDoEMXhq2XGFAK62pU63JzYHNihQ7HRdhEyddUxF2yJZwHSIvPSLurEDaI/\nWm5i/OGQ2jehscEX/s1ZW2LhnyvmSh8ecvn0IzHmBoNcP/Qh7dV3Lo5jqz15ui7IxUWfxIhybgjw\nsIPoS9hErOjrP9qIC3b88QV1xEoMeEJj3fVjLFtz0Tf2zplcvHnTcrFOHsD4xC5e8JyDc6I1n8gj\nL23ve9/7Vt+Cxk5bfNMXX2wlb+LqwkeOjX3nZcxWsPQDW/YHhA6kDvbOSb4ttQu+EDoxH3hx/fVB\n7uDIWNKOFkzIhcu1YU5Q1Iv2ysocsGc+XMTFHh38mVvreNsPeWIJ21wjdvjgQh9f+kffFw0PeMAD\nRl+u5Fv1L3jBCxC3dubJP8fgD/EwhszLPOHDI3cIPmPzYxx16UPkZX6OwXO//fZr9t5775HP008/\nvdXTD77Nzbkx/sEPfjBaizbAth/oMPd5ozyAB6yYxVSqwqcgKYz4yt3CQU4fojgoVm4S9tlQFk6M\n4U0afcgCjDr0HceNgK429IlvDP3IM7fWYOkHcf33d/L0RQzy1j9j+7T4gkdOzIvc42aFb1xvQNE3\nPtDBB3JiaRNzUS6Pt8De8pa3jHJRHnMTZ23E1fjGKfEwH/TICd9c8LVBRq7OlfFee+3VyuFph37t\nANYfdtGHWCNnLvohd2TMKR7A6okj/iDGyCKpG3nUL+S8aNGjhfBDXG3BiqvUQ5ccyc/1hgfpi9Y1\nwW+kch8Zz3k4poVo8UftegCro1/jMqavDZjGOalvHZALPjkw6Jtr9G9eyqKPyCMWc+YCH3MSQ+1s\n0UdHLOFjC5EzcmObD60y9MAEH/DoQ7e+9a2bPffcs7XFn/F9d8YY6GLLhV/08OOcjE0LX130uNTD\njzHokzdjSZ/8itztb3/7kR/k2sUcPIC1tzUfx/PSLt+Z85L1DPK0GGJoFp3isMC9AaiLzGJDh83E\nZoYYc1mQsWDPPffcZt99921l6KKDbo3wzwZRBz/mZeHSsrGMZU7wI/HFG76ExVubkdQjB3zrRz66\n5oHcG4J95PSdA/2Yg/r6U04cZJGch7xvfOMbzYc//OHRnPELzvo3B33TIpeIAQ99LvWQy6eVjw4+\nlaEXc8I3FzpczoE+NzluhDFWjGku+K6tKfjhm3jIeeorn4DJ58ILL2yOOOKI0XyIEUm8I48DJs7R\n+ckjf+ysAXzqh1Y9fMYc5dPax5d+0JdP30OPvjG0dR6M6dMaG1zBF4IHlhLxYgxs4aFDHvpSnxZ9\ncmG/egDDK/Xhlfbl/PAnJqwdfQg7MWwZ4Yf5o0tMiBZ9WmsFPn4YRxl81xS5BzD+xAM+F3OAz/43\nFr7e+ta3tn8EBh3GXNhCztG46Eixrx4xIMb4kfSpnJYLH1zo64NY4Ff7VcnSr/43evt7JDZ6pjPM\nj4KwUGIasTgodooDUhe5xUhhu6HReeMb39hubIsNnnTeeee1f+gce4gWe8fyaC1UN2qpYxGTk/OA\nR58rkm9BlwewcciBOI61JSb+kRuDVr6xjBv5bCrsaLV1UzMuSV355mM85doSCx6tFPvEgsRRO3j2\n0edyjnGMnjHpc6OjDtRxLsh8yjAWOpBx4lysIXTRQwee64zdBRdc0P6pU/rqo7vHHnu0N094MT56\nkLpbR1t/kjcxuIyJxNzwix2XOurRRiJHMFCuH30xdk3gRb626BALH8hjfHT0rZz8fQFsjviQjEFL\nbFqwoa8PdOEzhvTJXIgZZeQDmRcyyb4tfOdlregrxtaeVv/k6H1FTJkfcnzQF0v65ooP8oeQ28ef\nvtF3rtyb2PfoQvDPPPPM9l0W+lzGRW5sfGGDPPq17zxpIfj4kfSJHJl6xtOGGNyfvv3tb49+3U4f\ntLU6j/KN2v89Ehs1ww2Ql0VUpkLBWFAUuE+36GHDZbHRUiTeJB72sIe1hcvGpLjwI/Fn7PjrRhJ2\n6Fic8OljQ6EiU4dWGXpsSPNAhj4U47WMpR/Mgb9fW34GjD12+NK/G+f/s3fvPbZlVfnH6xUAAkaE\nAA20CgSNoigKKBJEvEWMd4LaCYlEvCQq/CGSEAETSCQGkMSo0QZEbioKaoJRQC5BUQQhIniFIAEU\nhIgv4Fef1edbPc48a9ep7kCfqh89krXHnGM84xljzjXXmnvv2rW3WK9C+/3W5oOuvuopxphr8zX+\n6hTXeOGmNNZs3RjFVKcaE20cfIR+xzvecfTTP/3TW1+82PKE41ztzR2Mo/6syRyaJ7G45W987Pzi\nGn8c8jW3uPnFF8snno0mcOsr4LW2OYYt6Pih3PVnjeXmg9MnMPqNtXb8k7MaZ3w8uMQ0R3P8fPNJ\navMktjxs+sXVd3Oer4DhE/jys4uhq7M+fNx0tcxXwLDmIL6JLx8950O/c9kPOxRX/TBTWgvVyCdv\n887fWOKYPvwd7NYdKW6NNdb5ChgWxiFeDlp8vvrq4id09UwcntnfOscPradqZZejnOL49NX4K7/y\nK0cf+tCHCj/RYnBdNLn87jaq//SnP330+Mc//ujLv/zLt9+89bu3Dj9C//kmFgBJN/4Wh5uJxdGN\n0WJpQbUwxWiH0bdgcMwFy/6f//mfl/1/XAuSL4lfX3z5q4nfTUktbPK2SKsvrjT8Ax7wgC0uG41L\njnmxZP/7v//7DfqDP/iDG0an8chXG0d544NVW/PAnk1c8Zvx0oNxuCklxi0Olsgx/XPsxdz1rnfd\nnknzVZN8jinVCVct8Nr54GdN6nHDribYchinOS4XTGPH0xjirD7aAduNHGaKHOGqTR62dVxhi3dz\nVnPjaozVDccnf7bGEL++vKRNo/xs+Wrjam7muIuFk8vRuPDVj6cc5t3mVtzklHvmF0MaU322cHTz\n0vllk5+oKc1WHJs2zmmTC49x4w1T/RvZeKj+D37wg9s3S3E5R/DNHQ65HfB0Pjk82YcpJw51w2av\ndvM+N+A4YeUs7zpufvzxhMVPaLb64mGT8rDDhOMvrrEZk3d3POGvjnj01XHR5ObP+y+V+7i3L3p/\nwQtesL26ye3XfT4fpcUwx+6kOyyiLlb+sC2+YuBcRIl+C4depcXI5+L1yzdevX3t137tFiePo0U8\n8+JyU+LDky6GLf7yugBdtC7GKeEscLVUM7sPT/Sza3LMeuaYtKtB23iqgZ1NX44uODXgm5I/m1rF\nFg9fG0a7vPXNC5w86nDu9B2NNSwbYZ8YvPnmnOHWx+0oPw617+Uqp7FoO9TcPDTGbHhWqfY0f21x\nU/TVlajJq0e2alk1n7zF4q5Nlwunes0r+8rDz4aLFudI1usoXtjyzTkt1lwluOf4qoF/8oiZYype\nHqIW59I167zOvHHS1Vh8tllDcwLLHmbOUfF04/mDP/iD7etD2dQqnubHox8nez71qrs8xkKKY2+c\n2g7vfIknONkIm37zz9Zc0PnXeuDKw0fCbJ3jB7H52KpFrmpgg+t8+E+NVXA0ntV3nvsHN2CfNnvy\nk5989M3f/M3nuf7bpDYLoMUwEzrpDovD30/cdEjYdVFYIHMDbvGFj7s4eUk3ChfVT/3UT22bMHt1\n4XGB015hsTss2C4ateFpkcaNJ4FX396HHNQotlrT1YAjbpq9cfCFo9XqxsYfRm1hqjOf+MQY+RNz\nQsQ65M7GHged5G/OytuYwrGTuPkduMrFz4aL4DaHauxQkxjfcuXHOeCzaSeNK24xxuu81MbPtkp8\ncASvQ3/m4AurTeb5KDc94/CIKzb+cOWKz3qbNnbYtDHIG18+tq6R8vE1DrZy0jO+erPJ9Z3f+Z1H\nD3vYw7b4csdhvtUhrvwwRN9czw24vJO/eZnx4abNuOaTkjDrHN2U/aZ1C+Pv/P7XljSn5efXdhgL\nbTzabVbi2PWJevlnLJs/efkGPDkSGFg1lgeW0HKl+eFJ50Gbf85veD4ijq0DRzxx8mm7t7U24ixX\nmJtYL87j5U+NR93+UfqlL33pZT+pNdyfV81ObgujwbOzWYhtXnwtKr4WSPa5wMO1mOIV1+JjKz9b\nXxNZbrEOf7vFzV6MG0g8XZj62TbgeLDA3XDETWkcOMR2UbLng+erHnU4Gpt29c2Y7N/wDd9w5M8e\nOGac+Ck43MwStVZHvOpLtNXNR2jxePnwNZ78G/ASVj0ERrv6qpGvudW2DnDGX5y8fb9zY6reaoPV\ndsijzvLxycNGr4IzHlo/G44pcWbz7UL+J7P8xaXhjFec3LX1q1Fb3re+9a2bzRxkK8+sj785pBPn\nk480Bn6x+AhdbeWIi58vTvWWly8efrV3rsLQcavFDR+mdVYNe3j8ZOa4yXLz34CrrXh8rl1/dpri\nXJA5LnXAGxN/Pjbt6WsDrpY24OLY/+7v/m6rlc0GPD+EFWfxamGrruz66jEuQhe7GY4fZl9cWP58\n7EltOG1jM/bGBMfHnqgD10WTgxV75vVnf/Zn2/+MeQbm/8ccn49/A3ZSWwzzBLc4nPh544D57d/+\n7W2xzsWmbSEl4lo4czFpz3z6sGzrB6Rw8fn/3W6OcakpG0y8cbfQcVjcbcBdZOykuGoQF0c+OP50\n3GzaxfCLmXZt/5hP4+2intwb8fFDN5/6xhgfW/7y8zUHxXQz4vOEo9rknlJ+Okx1w4XH/4pXvGLr\nd5OAE9f5FV+suPxpfDaEpJrTuLTxzTUUHs/Mxd5c8k2ZOdk//OEPH93rXvfa6tUXJx9c8xh3NhhH\n46r93d/93ds6UmM8OPHp124sdHPLZw56lSNX+YqPI57yVgd7c6ZN5ljKRRsT7Kxz+q0tb81bI7D5\nJr66+BJtdfMl4s1J42HH4/jkJz959KxnPSvopssXF2O1znrwVY82jNjWoXi21rz5jdv93S8X6ftT\nkif3sAQnu0M77sbUnPKL4W8uxDcf4dgIPGxSvfCwxbHLq+/Qdj7m2giLS2y1x30R9M27wVKtt268\nXbbK5+PfgFsA84SbF4uJzYmfb49YYL/1W7919HM/93PbwmkO2VtAbOJaoHSSrXwtcv42nPBdHGGy\ni4XtwpgaD5zY5JWvfOXRn/zJnxw96UlP2uKyp2HVi0cu/XLFw6edT35ttcA2XjeB6snu4ofLno67\nOnDIn+ASFzd89cHEX63NixuOm1Jx8q0y6ykeDr9+MTi+8Ru/cftglzG3+dDq459camxe5vjwwjlm\nXXI5YONba41PTeL1HbPOYsLW9wr4nve854atTpqk8agJf7U0F+UKaxxtNtrx5KebkzXW/HWN5JOv\n/GLl5SN0/mzVyD99Yh1wtNoakz5Ja6vFZgdjreDC7QhHz3yTAz5x3loX7OLU4cDv3Z8pzRts4yq+\neuIoP7tDbLVXXxswvplfTngfYNv7M1o51FAeMTjkSvOHXeeHL3/14CCw8rMTGicRo10O9c21EQ5W\nG9dFk4Mb8Pvf//7t2Z+/n5joz2dpYa1zYOE48RaFC6zFASfGMReF9sS0gNnFJ+VrgcnTOeitIhhi\nkYqHSfOJddG18F28LVI4mDjw+Co4/5sMN2vhgyuPOvRxTJ82TDgYPPorLr7suNqA4Y2Fnnk2kuMH\n+Wd92o0rfDYx0xdHdXWTgpGvnOHYCXs8YeYY1KRmB05zSKq1GLbisqX51MXfODqn+vJ3buIXk5jD\napx1ly9ceuK9An7wgx+8xYdPh4+7OHVXO5tDvcbcvPJXCx6caWNofBMjtmsEJ75i8BH22mn22vz+\nl/7pT3868yZ88jeucnPmuwl5M0/Yzm99uGqmy1s8vXI6t8astlmHvsOrYDGf+cxntg+9xg/LT9QB\no6/+6tGvDhi5XPu9u8PfBiwOViypzr6CtvnODiu+o7rKh09MNUxO7WrEJyY+PiI2O2wHvIPww/UO\nHZt8jSEM20WTgxUb7NOe9rTtb0NPfOITj173utftvv150QZ8a+ptEc0Tjkd/LqgWDLtXWMWV8z3v\nec/2zTL1W7R7iyku2Ba5XC4Um1V54cTDuMDZHXK7EC1cbd+OBAMrJky1wHjHoycT2enGIdYhFgd7\nbTg+En/5whUrRjs7/LxZ5J/cG/Hxg/HgTdyw8cSHa/q1u8jFwIohtDljE+fQnsKmjjDrGGDxm2u5\n2kDE4e4cNJaVZ+YUz++QRz/dnMQ3a9SuzvjobDhWaRzsH//4xy/7GzCbfOu8GU823NU2c8F86lOf\n2s4nv7HEtzWOH9jwNL4w/MaHg5Tjf/7nf7b/yMDnSJontTY/fDD4PamEWfM0BprIUw1x0nGGZ9Oe\n4woPm+zZOm9iYWGI3Dj90MD111+/1creWqgGNvPS2NjzsTVG1xF767Ba2oD51JJdfrF7b0GXA8ZR\nHu0+MQ3TPKoxbOPjL5atOmFJ86ENC+MoZtZgDD054+dLVt7s513fvJqXSr0F7QMVfnP0UY961NHv\n/u7vbn8Pfvazn70gPz+66wk36haMRdRNo9nwt6MWUjb9r/7qr657svjE8yXaXfRs8tS3AXsrJm5a\nfBc4rFrZXYRxX3fdddvi5yP8U7rxGYf2lLBqiG/OR5xdiGG6KMQ72Mm0dxF5ZQ9T7XHEXT1yiE/U\n2vywiZv+fOWBcSHjNT9uWNrlaaxwYqpZG0Zfe+KqVd5uErBqVV8c+vFM/riqW79xlk9cfOtawxWu\nWhrTzAeX8P/6r//6NiYYQpe7mtLWnLmaecpF44NVm7WfLe7y0nDFFpe/jUOfj7A95znPOckRd7XR\njvDmKVtj4lvbcGStga14vs4FG5n48ubjl2di2Jxbc6P25gSmsXjS4m3geFoLsDBEfDFzLJvz+EGd\n/Nacddg9iF2f4J2x8Gw24PUt6BWHh+3e9773Vqe6xNKO5kIbjrDpyxOffhI2fHZ4h3hHY7AGiTj2\nRDzMRZODb0EbyAc+8IGjN7zhDdvxlre8ZfuSBn8r+nwTJ9piWIXdAuSbJ5/NhtLiXOPqt6BbaNlb\njC0w/Rbt3lvQ4qsDtngXnTg+C9f/EevHVT7aRaseF7n2KnKIo/HTZNYWBo5dXnx7OFjjg6PnOwbx\nTO6N5PgBH97EzVl8Oenpj4MmsGKIcXZT029M2gSWTaxD28FeTjjzJqfDnMfJ3ryWHx6HOuOnCWzc\nrQ2aTbyY+LaA5QGu8ctB1MS2Ct673e1uR9/zPd+zcevDNc50cd4Rs0HAyNNchNOXC4858EqFDzap\nTcOFf9Ob3nTk13jcb/wLXK9yqklOb9HSjsaGp3rk0ib8+g4Ct8bw4SfhtcPScVZr+eASGPG//Mu/\nvI3nsY997OaanAytNRwdMOE8sbZhVnMaFoa0royT3zHHDJevJzLVPDdg8z55688v4sAF0zma3Gxy\nm5c0vzZNxKaLZZs186u3/Pwd7I4Z07oSVz5tsvLeZD3/j1demZdq/oVf+IXtU8++6P4JT3jCdnG8\n/e1v377k/fwP67NboUXghNNTLBxiIbo4psxns9M+2xaYC5O2gBJ5Wnxs8uCHcXPqLWg1OeTvAodp\n0boI+fSLx7su3nI0DlxTxIvBEQ9sucJWc+NRtzjxDqLvCMuuvW7AMHNOyiFv885mjHDx0eoXT/ia\ng81w/JC/C7p66OoslmaTE7cDp6Mc1QTTjQ/Ok57iGqe+OEcc5eQrH3+xtMPc0/KtUl10fLXpVdis\nIwIvX/iwbHG5OffKtrrhteli1da6a4z44OLSbix8j3jEI7afwvOhRRstX4J38rBn084Xd36ayFWN\n1VBM81jt8JNHG5Z/8rCJ5Xfw+0pQtccxOdnEu3bjihuX9roBO8/s1Y5DzurJr0/wdoixtnu1WI7G\nQK/5fRraE/T46BVX7fOaaz3y4ayW2jNP+WETY2ossB38s25rouuVb+bTxz152S6C3DwTS7U33HDD\n0TOf+czt03lPfepTj37+53/+6OUvf/nn/P+C3Ry9HXOexKJYT7j65gLtYmaHt2CutijEvPOd77yC\nuzg8pD6Nd74FbZGqrQsBJnGhVLc4mC6wuMPywTjETYEtD10OdkcLn3bAsDuX+cR0A4kLhp12A6q+\n6S++erpg66tVPDstNh59bRyz5sZHu0lVbzpu8TN/dVVzvvjlwmkO2XD7d75ZWzXiStiI+Nr8zRld\nGz++VcLTM4e4mas4tv/7v/87mRv1OsTScw7F9ApYbpwwM2dtfue9OWg8dG18cHLQ7OK1/W2xV8Az\nhw3C2LPBi9Mnsx13+fLRtY1BjSSurTP6jXPylc96tWE1v8ai7f95fYNg8xGnzQNPuapNX2xf6Zqd\njejDEPVqV0/1bc7jBz4He5tVfNYim3ODO154ff573OMemx9fPI1P39jFw4rRpxtXcbDlrUZYtvqw\nRCwb3zxwkGz6jYldX1xSPfUvij64AfveZz/c/OY3v/nor//6r7dfXXni8YexfBPTZ1tMrA98eXvb\nyfWvThb4gx70oO23Xj/b+W4pn0UwF1XxFoATz9fFzAevz893SCy++93vftsNZy6mNd9cXL0CDoNb\njjB4+OhuWNpdNHJ2McAl4vnUrT2lXOKKTeeDb6x8cuJhK4/2PNiL9wo4DvFwOOgpapz1uSH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2wDzk/nM9fegdBnd0zBTWi8iTZb+ObM+XAD7omPG15/Aw4vtnnUxsFnrsRrO4j5wB3uB37gBy7b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\ngbegicWwSgtkz7di6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P+cwlrQdAvjagnh5o3navj8FqNYhwt+fQU884crlpbT\n0UU8fbVdgI997GO3HDZKi3xK8WxXu4j25qR4eao3XR59uERfrnCPetSjjp71rGflPtFi5FzHt8av\n/Ai8ajCnyczPJmZvPNVUHH2WG0v4lXfyaRtLN8XGNzHxXE2LEU8bx1kEtlzG1DloHuh1nvZ4YfZe\nAU/+6pp81p41SKpjj3+1haXXc4G/+muL90pqb15wwDkP87uty1GsuZlS3GprDmdtk0uu2S+e3frk\nc+g79sQHU7/927/9Cpc4+YtdaxbA1zzAN1dXkN0Cw+QUNuu4Go3YWfOs54d+6Ie2Fwsrhw34/4dP\nQe+f3XW016D/kpe8ZJvga5D6ipQtVtpiOYtYgLdG5gbshnC1DXjNob4W/3pjWrFwLvhu/vm7Eet3\nYeyNp4tu9em3sWsfmrcZFy7bl3zJlxxdf/31/6+9K4+5oyrfB/lRaNm3lrYUkbVhlYBltyAIKIJQ\nAkKMLRIWITFKTQVBgyBQE8UqfygNRgkQqaiIoiwFZAlKKFsRFGQpAqWETRAotGW5v/sMPrfv935n\nzpy5M3Pv3Pnek9yeM+e8y/M+Z3ln7vKVkDo1xoGJuDoD7QbnCX1o6/jlEzDs6HHo0T/aKLj2zbm8\nufhQMv1fYpY1pYFB3kxQhuN5aujKV4wu5SFLLMSAa/CM66wCGXyc4buZA3/kkDXtgUesQfTH+KEe\naswxdPRcoE/iZtv3VibtwQbk0hIw4iJO6tA3r1Gjj7hwDbsyfimDtizQhQ/JoeZLyqe1JZcSC+Ux\nr7RLrnhNmbw1bMIWSx678A3uWYBZFh82PgH74pO6dW/HZZO6R9EDfFhQOCjlIgu5hVysrLSDhYyC\nRYfNKBMwFqlcjD77GEc/sEpZ6UO24QOHhCzQ44agT70pIA8/GNc4oA+73JQ+GehIfLiO2UzQgZxM\nWsBCW8SCa7YxjqITMHU+HP3wX1+ftgNJyPk4kbbYZmzQ0VygD7FwDmgXdd4CHfjiK0ZfymK+uG4Y\nG+oYLJDzfVkG9lFoj9fExidgYmd/Vg075JJ7hjqwhTHaRBsl7QkYY8ABObwFjY/DtE3ilPhhHy9Z\n6BtyeMEO+hg/Zfn/V/MaNeS4H9GGPupuCvXhV2KGLRkbxshjN36oo3HCLmLR/ZSXNWTkeYExjVnK\no40YIIP1miWrdet0PfTkrREy/CQJH7TXochFHLOggBly3SwMqYdFKT8DljjIi88HbPAAopyvhq7v\nZ0jo56GlE520k+YH/TKpQAd9ukjsaPvi8+kAGxMFx3362ufixYvdM888k6hAXvqnHa3jk4EsEmba\nGG2xhhxiY5F6mivKShnqZdWSv1h9+OeBjJoHGg9l1jG+fU+YsI8X8ODFg5P2kNiwBlFiMVOXnOq5\ngB3gZmyQw8t3g0BbkIUOn4CBE30ssQkY8pwHJNm11147MSFtAZ/+GQ+E0I8X40G7mwJfeEGfWKQd\n3uyxj1zxupua/qhL3zJujularjuMxa45nI36HNC2635d2wQ8d+7c2nCHRYyF5FvMZYPk5oA/LC75\nBEwc0qfepMQJXSzsUIEukjwOF1mgh02AAjs8EKQM2txkuh8Y+BY0xny8QRdyLLiO2XjE5otP6mv7\n8PPLX/6S7pJa8+PTgSD6deE86X7fNfTBAbFLe+AAc0B7uCb3PluhPujiRX8hWY5BngX4mAy51oBF\nylDWV6fdMBMTcMnYYQNxI37K+Oz6+qQd4AZeFtiS12hDnhxTjjXkMYY1hW/W4glY2occ9ghxUu+1\n114btsfoG/qXXnppInr00UdTJanBKXzoAh3Eghf9w17eAl2+fGtJ2oQc+cnrR8rTDvvgI3btIF5w\nLzGjnVWw3qiXJVvX8dom4DoRxgUau6CAHQtQLvTYeHgQYAFiw8sErBcbF6y0DZ9Y0PqwkDKy7XsC\n5uaBHGKGPV+Bf3Dji5N9IRlpF3LwhTpUaE/jgj9gkUXal/1ow47Pl9ZJk4M/xqht+64ZG2vKwB/m\nlX6JiTXlYmrqpGFOs8E4iAXXxMk6TVf2pz0BExdkZZu6SG7oJw72h2raQQ3cvIYO2uAU9jCGGHbe\neefOXvLZxb6DHBOwtsknYKmLv1+gC3xrztAn8WFc//QPdiADHHhRR+ppX2nX0EHsabqIjQUywJOH\ne+rKWvOFsdgzCL6JIQ8O/JoDPtLilPjq2s5/e1XXSCrExQQMF7GTHSunYXNzQB+/a5Z/axeycoFC\nRicd2sOCpi326Rr6SMD6CZgbAvLcGL54IKdvCqADWfomRq2fdq37YU8WYpNJC+PUkzXbUp9tjBEj\n+9JqyTllcEjGFo1DXpNDzgGu5XqL9QE52IW+tJ+lL2MDH3o+gUXKpNmDnC8BA4vkGba0vRdeeCHx\nm2bb1w+75EnPBexjDIVyeApFEk4rsIG9wBte2JA8MgFr7D579M0xrYPxrCdg+pcYaC+rhg5f5Ejq\nYD5ol7Uc76atY8R1zBkEX5QlFh9mHyauV+3bJ1vXPkvAETMjF0TsZEOOCyrCRUeEmwO6BxxwQOew\nwrXEQQXtg36ZOCmXVsc8AafFnIYJvphQIHPDDTcMOYSJRdpFG5h1PJRlTZ86AWNc8yPtU5817PjG\ndV8aHplUaDOtJmbo6Bgxhj4mEV6n+U3zgX7qoGY7JM8xxqzxwYbGSx1f7XsLmjjgA236kvqYN9xo\n+saknG4TG7ijH8gQN+zhxZsK9OOPh+hCXPjTjvjLSijQkzZxc4G9Ivu0HeohHhkLdKQe8MQ8AdOe\nz0+oD754jug9AT38xn7hwoWJCd94yHbamIwXMsCA+dH9Pn3I8GkZerGYuF59NgelzxJwxExhQaDI\nTRShFrX4tB0sRvjBCxseiwwF1zxwqEM5XlOOC5q6cly2oY/DgIc/x6APXyi+REc56Ps2C/ql74MO\nOmgYd1oGNnV89CNrYtObW2PBNWTTis+/rw/66NcF8fn6tRyuIUeeWEs5jBMraq43KRPTpp1YXLAJ\nf1Ke/tGHF7AQWwgD5sP3BAxdbdNnR2Lwjes+YkO/xodrriXaRY0vPmFP6YLfLyMp4QtTvHGEDepS\nXu8T9suauKSubEMWnPqegDEGv1xb0NO6kMkq5AO65EHq4J0ArrFufUh7aNMn++lb93Nc1oiXOKEH\nbKizCmzHrs8sW/0aTz+h+oWohn7PPvvsTkKJWVAIIVZOh8u7eSxAmfy4MLVdvVA5jgXNtvbBa+ji\nQOKhw37oQR8FddrBA31uHOqypk4abshJ7MQq+2hL1rQnucG4xEx52uS1rGFH3iRwzKfjw8T4qBeq\noU8+fYcLfNIe4/P5DPnAGHTy6mkdyQlwgecYm5DxJWCJi7Gn2fNxnxUzxskdZWEffDORoR2yfeSR\nR7rf//73yVMYf3UAeY0TfnQffbKmb16jhi3pHzzw29FSDrrATD+4lnpSNtSmHmr4ChXKhmRixvAN\n80mTJnVEYZdPtZ3OQIN8Qy/tTNHq0Ildn1q3LtfxH2TVBXEfcHyq/VeZWLBAYgoXVIyslOGhwcXF\nwwV+eYBR3ocFfdDNOnRgA7LYJPRBu/SNax5kHJM1/WgcuKZNtIEbsrKgX+pRTvZJebaJLS0+6qPW\nPmkDNcYpK/u1TprcwQcfnPzNYKmb1oYNcuA7XDDOxIckhp/C+LCl2Wc/sBNvrD7kZMxo84Ux4qaP\ntBpyvregaZu4GGeandh+xoeaCYu68Ak8KLLNcV8NOewF/lSJ+1DK4kYV8xcq5Iz4IIu2vEbS8CVg\nyMLvZe2/mTxu3LghOhiLLfBF/OBB+vbZyBr36ei+sWPHuhtvvLHTDZuhs6Mj+L8G5PmKwQw1uba0\nvUG5tgScY6awQDjpOdRyicoDCk+nMpFh42b55ziwxhT5cyHKwwYPMCY6nz30+RIK/pj9GWecQXOJ\nLRkXB4iV1zF3s8QGWWkTWOTGxbW2Tz+spT77tE6aHfwpz9gisUmM1Mc45xn+fZxSNqaGPbxiCvxJ\nWcZPGz68PruQY/LS4+QZMijSH2Xhl77ZF6phg9hon/IYk+vW54+yrOEbCZg3ET4sTz75ZOfPZlJP\n1/QtfWpbwO17CxpyiGWzzTbrmNW6nYFAA77pnxwFxHPxHrIjx+A/xjd1ECdeefTAVcyZSB91rC0B\n55gVubCz1LigsuT0OO/moS+TDDcUa+j58LBPH0raD/XTnoBxgKGEFjixsE4U2v/gcOF/ioExbETE\nIwv6ZR/b2pbUQRvjwKZxQV8nLtrUNnCNMc0RbGv/wF5GIQc+e/BJrIyjG5/QpZ08+lLn2Wef7agC\nF/BqTjoCqqE/ysAwOYYNvpRa5zLWDxWIjT7YTw5hD218CTCrQA43vDIBS16g75s7bZcxsMY47Mhr\nrFPfl7AgyxsxtIkf7TwFetTNwkzZPPZjZBEzzhbNYZou8aaN+/phm2vANz4IfUNPxUFA3GeMWChV\nFi5Y+JHJEddYbBwHBvRpPJQ75phjomDiP8rWn93BBxIcCg4LHHC+jQw5nfR8TiEjcVNG9gF3mhzl\nUUMHWOTNCcclRtiT9ikja80dxrROjB1p09eGDWBD7YsRPplEGJ8Pm8+27MOXa/D0pGOQMroNWZ8v\n9ukbHa3P6913390dfvjhvOzUsMPY2KbtjtD/Gmn9Wg7XkOV886aVchjjukR7ypQpHEqtgVE+ARNz\nqkLKAHGhZpFt9M2cOdP7kyjIab955pL+oMN55brjmK/W+Hwy3fRhDnQ8aXYoBywxmGEHMcauzzS/\n/e63J+AcM4DFEbtYuQFymE9EsRDpBweCXJg8VEI24RdPIj/60Y9CYskY/OCOHzqywCd8oYQ2EfQx\nrvWlLcj4NgljpCyueaCyz1fTp07A6EdhjXYIl28c/rWOtAedbgps8FBhLe1gnE8+4N4nI+XT2iee\neGIyFPPERxvw7YsRfeAiFssuu+xCk0Nq2tb1EKH2Bf3p/rRryBMb9wxliRu1nk/K+GrY4xNwXjy0\nBz2sTdQs2hZ+XugrkON+x3ge7NoedbmP9TivNTb2F63hP+tskD4QN3Tw0vxJOdmGTlZ8Ur6ObUvA\nOWYlz2LNIysh8G4e+jIBU4Ybi9eQkwXXuk+OyzbkeIjp/ltuucVdcMEFnQSMTaELN5nul9fwgU0i\nDxaOy1jSsFCWNTcdcMu3PGFLxgJ7eKWV8847zzukcWbZ8RpRnYyNGNVwgpN+yWkIu9b3Xcfqwx9e\nvgIbeQ7RNBvSPv4e95ZbbjlMNBYvFaU8b17kGA9xKcfxUM3PsTEfeXVhlzqs0Yf4sTazCr6BjS8z\nySK5k/2hNnTwIgbWPh25Z3zj3fbBZ561A3mJU7bTMJDXbjhKs9nrfv/O6zWKAfGXZ7F2uyighxcW\nIA4Rebj4FqXuw7XuC9Hr2yTwv+mmm7pFixZ5n16lvSxOgAVxMMFQF/2SI1z7sFCeNeTg03dDAH2M\no2j71M+qJSbIZsWXZY/jtINa+wBW8oMxyBQp5KCoDdgh7m5tcR5Q47XXXnu5iy++2GsO43kKsck9\nAn1yiDqPTcjy4xi08+gSN3xiHcqCPryyysc//nF35ZVXdsS6xUA9YgnFgbEYbB1QkQ3YxQNErG3I\n4QW92PWPPcMbrUhYtROzJ+AcU5J3sUI+bznppJOSDfznP/85NXHRJuxrH1zElAnV0OUhJuWwsLF5\nUHCY4Nr3BwzgKyZpYpNAVhfZRyxaRl/Tp07qPn1pX9vxXcMGXrL4+uR4TJuYYUveJFAX4zoBaxyU\njanzYIZvH0+0ETO/IUywzVho0ycfGvPJo49rF9zRB/rR9vGMsazC3wFzPrLkfePEJcckPtkfar/8\n8svJHwgJyfjG5Jz6sGidbrBpG/qacxDL42OPPdaZsxjM8Md1WwV+HU9V15aAczCbZ6LlwZPDRecO\nHPryZ0iwAf8SA9pYrLJwUcq+tDb0fckRNtCPFw6y2267bZgf2IQ+xkOFMj5cGGPBeMzGgw7k4Fe/\nBQ1btIna55P+0mqt060daZ+YWcsxtNHPpzgcWIhN49A6ZV3DN166oA8YgMU3ruXTrmkHddb85omZ\n9uCX3BGDxJ0HO2T5BIx5yINH+5a6sk25mHrevHkxYsNkFixY4PA/NfHPag4TEB2IOQ9HQjXYhM08\n6xhrY86cOe7VV1/NXCd0DF595xfHB6G2BJxzlmI3UxkLG0+h8nCBTek/zQf6YwrkfJsE/fCNTYEF\njrfF9GdTsA8skJGYfH59mwQ+tJ4Pi7Z3+eWXu+nTpzv8+UB9d60PeG1f2/Jdd6Pjs6P7yBNrOQ4u\nGAv8g4ciBTZgM6bcf//93qcs6sfMScgP7UAG7TR+pVzIHscojxrc8Zp+iFv2UzdU80tYaThDuvSN\nOZYFtrq1J+3Etukf/8kF2lkcZI3H+pVysIk5yGMbsnn0wGleHxJjHdqWgHPMAhdIjEoeWZ89LC4k\nLh7MlIFdFt/mgp6UoWxa7VvA8AnfGMMr7fCAHx8G6QsysOGLQ9qlLanrax9//PHuU+2/TIb/3Uba\npD5qFNTSvs+Wr8+nQ5s++Zg+ic3HF3wyFvov4jOP7s0335wagsSdKpQxABv4qRu+U7BkyZLUtQm5\nPLiJDe7BHXhlAYe4Rk0+OZZV80tY+I8Z5s+fnyWeOi5jkVhTFSoYgF/svaySl6MsexiHTd/5FdIF\nXujJuQzJc94l1yH5Oo4N/2CujihrhCl2sRZdFNDHUygPZlCAPmlXX0MG+KQM+kKFB5WU4ebB5vU9\nvVIWfiAT8kcZzZv2i3HdRz+6hk3NDfWlrPYpx3xt2NU66MOrSIE+YkPtOxDRz3mG/yxOs7DQV5Zc\naBw4iFdzEtLTY7Cx9dZbO76diuu0ktcP48S7RNIucWM8b2ECnjZtWnQi0D7gX+JBXHlj0za7uQYG\ncpSmr7GmyXXTj3WcJ25yloWZWGAb5xP12D9ItSXgHLOVZ6K32GILd+aZZ+awPlQUvvRb0JCQGGSb\n2r4+jukasr7DHgsbvjGGzSDfBpc2IOfTlzJo+zYidDXWGFuwx43HpIU+XWAbcnmLT0fjzGsT+jxU\nUGsfGOfn2Ygploc0HNp+mlyoH5gk7pBsaAxYJB7Y9BX68435+iQ2vT7hDxyCS+nbZ0f2wSbfgpb9\neds6Rn2d11638pKjNBuQycNRmh3dzznIY1vyJNvaNq8xv779xPFBqO0t6JyzFLugNthgA4f/hq/b\nggWo38LRm8W3SH19aRgg61vAiBEJGGPLli3rJAdth/ohnxhLe4qWXKINfzEFNoFP6qNP4jjssMNS\nbxxCPqQNyGm7Id3QGHlG7fPBWPLwkOZP20+TC/UTZ9rchXTlGOIhnhCXoTFpj23Ic71IHxjHGBIw\n20kj8h8+AUeKp4oBA4vGx/6qa8lRmi9ymDbebT986z2aZQs6TKqSvzQ98Fr0ZjXNdq/6LQHnYBqL\nImZh5DCZKgo/WMDy7t7nX+PR16kO2gOQ9b2Fg4WNfrzwTWx+M1Tbgj4Paj3Ga8ggDmwsXeCHhbZk\nH8d0TXzaJmyw7LTTTmzmqn3+pd1cxv4nTH3GqG3AJ2NBO4tTrV/FNXAQL/F360fqy3a39qBHO6jl\nHsEYOWQM6IstZSRgYCI++JXtWBxlyMFv1lqCDHgqu8Au34WItU2eePOUpQfcg56Ay2c+i7UBHq9q\nsfoogS8kQB7MkOEClfK6T8pLubS2b5NgYb/zzjvJ5vWN0xYxagwcR40xnw30y42P66zDgnYh6+MG\n+kUK7Gr+0Fe0IE7ghS1wIeOGbfQziWAsloc0XLBRFDf0YceHN82vr19igc00XPTns5HVR+4oB1vg\nW/rmWKieNWuWmzhxYkgkakzHiGvdF2WooBB8xqylKrDBZt61g/likW326Rp7Na8PbaPf1/YEnGMG\nih7wOVwlh4f+HTD05cJM2zhSJuQzpL906dLkyTXt6ZdYYja4b5PAt/SPNuRiCjaefqrW9mLs+GR8\n3Pn6fLqhPvLEWsoCOxM/DxXJjZSNaZfFBez48MZgkDKSP9mWMmjnjRnrBTrgTOrCB3Cjlv3an77m\n/+Cl+/Nea58aX1573coDBzlKswGZ0Jyk6WX1wy5vgrJk5TjnTHMoZdiGbOyZQZ261ZaAc8xIVYs1\nDUJWkgEevVCxKLHwY4tv89Em/IcSMOSyNjhwQEb70Qc7bPHQzMKOLywhRiYtyEOfuLP0Q+MaZxl2\niQu2EaMuGGcsqIseKj4f2mfWNTHHzG/IluRTz7nUy8sz5GmP3NEexsgh4+BYL2rErP3q617ggI+Y\ntVAFNtj07ftQ3F/84heT/2/50ksvjcLN/STXWMh+HccsAeeYFSyqKharDwIWlU4ykMtabHkwpsmi\nf/311082Q9r/WwoskMMGD2GCjO9OGDry4KQt1FkFMr6bkyy9mHFfLDGYQrahz8OISUPKSy7ov4hP\n6BbRBzbaKCMBy5jScNGf5CXUlnb0W9DwR76lXMhemWN6jhl/mT5ibMFvTAKuAh9sYo/msc2z5s47\n7+x8JBOKE7ZxtvRjjkO48oytfNM9j9YIls2zoIrQhEWFBSwPF73QcK37gE/3hXD44tlwww3dww8/\nnCRg/jzGZwO6OOhCBVggI5Mt5aVvyOmDi3K6Bie+mxMtl/caGDR3MQdYlh/GBjnYk3GjD+OcZ3Kq\ncUAutmj7sXpSDv5hx4dXyuVpw2YortCY9iNl9drCGG8cyuBC+866hn+JDxjkdZZ+WePwmbWnNNay\nfMMOb4Ly2txuu+2iVDDvZa7PKKclC9kTcA5Cq1ysGgZ86QQMmawDBXqxJbQ5kXhXrFiR+RZ01gYA\nHt8TsMYIOR6aekxfI1n5noDzxK5t8lrziz97iVfRQq59GK+66qrO70/hn7JFfRbVzzMnab4Qj+TU\nFz91pRz7QjVtYT2wDfl+c+iLQ+ILxVT2WMxa8uEtigM2n3rqqc6NZVF7Pn0k4Ngzw6dfhz5LwDlm\nAZuoVxsJfnQCxoLG73Jl0XjyYAzJ0i6fzKRPtrHJYjaA704Y9uWTC65jDgv4rioBw38VhxG5hG22\nySHqMWPGdC55qHQ6umjAh89PHlPUL4MT2oL/NH7T+tMwS5tyHUEeY1hzRx55pNtmm23STFTaH8JX\nqWNhnBhYi6EhzazxIcKRF7CJPz9ahW1CwJqJOX8oX8fa3oLOOStVLigNRfvCYbjZZpt1xDCuZe66\n6y53xx13dGSyGqGDDwdb6C1o2MYGCBXg871djH7pG+3YBAxcVT0B68M8FFvsGGIlTzpubYOcQK7b\nQi671Yce/BN3USzUZ52GK2s8TU+vUcQPvnGjRj7TdKvoRxwyFrT7gQM+sfdCpSpssOvb9yEsecc4\nz/3gNi/WNHl7Ak5jJqW/V5ONBRyTDCAny3XXXScvg23oan2pkJWAwUXWExLs+96C9iXb2LvZtCdg\n2CxSsvjo1jbsxsbGQyU0LzE4iuoDB+YfuIuseXyXYPLkyR3IIVvdYgZOqYs2cPerwL9ci6GYq8bo\n22fap+ROj3V7DZu9SsDdYqyDniXgHLOARVXFYvVBgJ+sBFwGltDhkJWA4T8rsVBGx6LjA46YwwJc\nMQFL7LCHV9EibRa1RX3igm22OaZryODgypLTevq6qD4TSNb8ar/6+u677+50hTBhLA/3kKc9vbZg\nB/jz2OuALKGhY5FYSzAfbYL8sPYpVoUNdvW7VD7/Rfow7/2c5yLYqWtvQZOJiLqqxepzjYWFRBMq\noY0V0pNjoUMKCzyEgQddFg7fU5T2CxuIOcsWsAOXb3PH6MrYfW2NyyeTt4+xQQ/tkA8mkyKxwH4R\nfeCkjbIPuLTYu8FLnbXWWmvI/1eN/jJuYsBDNwX+iQ36st2NvW514DdrT+22227u6quv7tZFqh58\n9+IJuJ/znBp8joHwCZ/D0EgR7dVmgp+0w0pyXQQPdEP6SAb68zXtO+YJCZtEx7L55ps7HJyyZB0W\nlOUTMJMV+rNioW5WrXFmyceMAxtvQrLsYzyG0yy/4LJIIZ+xcxLrK2290V83dqZMmeLwYgGHZeOm\n7dha8o91mhZ3rL1u5OATaylUsJf4+9uQXN4xzEEvEjBw9YPbvHykyVsCTmMmpT/rAE1R66o79PRJ\ng0UWX9YhFZOAs2wAny8BH3LIIQwhqblhY+IBLv0EDD156A0xnuOiqvmVPIVihH8pmwN6RxT2Qz46\ngoFGGTa0+SybebgP2cIYOMxjT2Mtcu3D1g8swNHPovdo2VjAqe9sKdtPlfbsLegc7Po2Vg713KJZ\nCbjoBoN+6GBAogthgG7W0xp8QAa2QoWxsA7JApPe3NCL0Q3ZhX6Ij5BuaEzjCvkgpyF7WWMh+1m6\ncrzojYC0hXaIX4xpnrS+vga+OhYdC+ajH1iBo+w5jOUbMVf9BIwzJev8icXbLzlLwDmYx4Iu63CL\ncRuTtPIeWtpvSB+JLpSAoYsNEOIkRgaYIBd7WACTvvOFPl5FSyiWbm0zNtjGK3QYc86LxlKGPvF2\nG7fWC8UN2bzch2LEWGhcYyvzWvsum8dYrMDRrwQF371IwLFnRixnvZazBNxrxnP4yzqQyjhgQj4w\nlpWAsw5VhBuzERFL7GYCJv0EDD9l8FGGDWCRBTblQRjyAc6lrLSTpx3yEWOH+qxjdLJkYCvNHvpj\n1hJ9hGxBBjym+aKNqmqNrZ84YvdU2Vwg5ph9X8Qv5hg++sVvEezUtQRMJiJqTDQmvRcFvvg0lOav\n6ObKigf+i34JCz6ynpIRH+RiD2Dg0gk4j34an+ivYn41tpAPjBWdV9oIxRkzBtx4lVVC9jAW4iUv\nhjJxF/Udijuv7Tzy8Bu7p/LYjZGFb71HY/TyyHCdl7lu8vgvQ9a+hJWTxV5tbPgJPX0CdtVYsLBD\nCThmA3AjZm0SyMXGw7eg5Q1KHv20Kd91112H/anPNNk8/cCGgxAckLM0fcRUxqEZy2UaDvJZ1I62\nn7YO8t50EJ+2z2uMp/miTJW15A045HWVfqVt+MzLq9Qv0obvXjwBl/FuUZE4i+paAs7JYK82NTaO\nTDA+mFjkRTd2KB4kulAC5ibzYZN92CRZsUA+NhbY0nfXZXCxzz77SNiltYFNHoShODEfkC1SyuAC\nNqpIHGmxw1doLWo+0uxQrgwOaCtvrePQ13ntFZGX666Inby64L/qBIxzYNATcG/eT807ezWV7+Wm\nhq+spFUGHthIKzg4shIwdEMHDOzHvgWdhkP38zNg6bcMLrSfMq95EAJziHPMeWg8BlMZXJBb1jF+\nY2TSYrv11lvd/PnzY0xEyZSNO8rp/4R0jGXMRx7/lAUHRW/maCtvDd9VJ2D4iDlb8mLvpbw9Aedg\nu9cbKest6BzQU0VDBxX8hzBwA+gDRzuL2SSwEcIibTIB6xuUfh02EluoTZ5Y+2RDYz75tL6iXFC/\nLDzEmTbHN954I0Wi6yxsWePRjnIKgjsZJ3D0Awt89vMJsVcJuB/c5lwSqeL2BJxKzfCBHXfccdhf\nbxouVU7Pxhtv7Pbee+9yjKVYwcKVB4UWe+utt5K7WN3Pa+jjsAltAIxhI4b8wF7IBv2xRuKt4i1o\n2q+iRnwxMWbxFIMtxk+WHdooAw990Savi9SwFbIH3KHxIr6zdDVn/cSShbWqcXCveSjbF86BrPOn\nbJ9l27Mn4ByM/vSnP80hXUx0u+22c3hllaKHTGiTzJs3L+geukiuIQwYw124flr1GQ7ZkfK+J2Do\nxupLW71qT506NeEg6zAOzUcs1jK4yMIZi0XKAVcZ8cFm1lyXwYHEnqetfZcVcx4MUjaLKylbVhs+\nY/Z8EX/gtZ9P+EWwU7f2T8A44JcvX068VgsG9EYXQz1rxtyBxhwAeQ78QUzA11xzTTInWXNWxqEV\nw3fMAsGclJk8sFZ6VZ566qnkcO6VP+lH858151K37HaZ85cXW9W+y9greWMqW74WCfi5555z06dP\nT97e/fSnP+2efPLJTpy/+c1v3Je+9KXOtTVWMlDGxi6ySaAbk4BjfOhDa2WUw1tpCbiXB/xwVPE9\noVjBVWg8xksZ6+IPf/hD8kf6i2KReGErZi1InVA7hA1rYZNNNgmpVzam+dfXlTlOMRziKUWllO6q\nE2S/eS2DpFok4Dlz5rjx48e7++67z+25557uk5/8pHv88cfLiM9sBBgouoChX2YCjj0osLH1FzyK\nxhKgqdShrBizxmPAlGFj1KhRyY1A2QmzDGzgAHbKshXDaV4Zia2Mm6q8/usgX3UCLnNt9ouvWnwG\nfP3117sHH3zQjR492p133nnJZ58HH3ywu+uuu/rFy0D4LeMQKmMRy8PGR1ysjzxyPp++Ph+efvZl\nzRk4KBpHlo/Y+Ivi8PmpwqbPTz/7NP/9jFlj6RUv8NuLBBx7ZvQq7rx+apGA8WUjPP3uu+++Cf5j\njz3WLVmyxH3mM59xp5xySnRM1157rbvpppu88n/9618dvllsZSgDRRdwzOESsxFhJ/YtZLwFrW32\n66AZymb2VRZOHVe2Rb9EzLz4NVf2Yj6Kro+V1j5slYELlsqyo/GVca05w3W/8MJv7L4qI3bagF/N\nA8fKqmG/H7GVhR92apGAv/KVr7ijjz7anX766e6MM85I4ps5c6Z78803k74jjjgiKmb8bGfy5Mle\n2bffftvhZzVNKljkRTd2GfqhjRa7EWPlMH9IUton9AdhMwInXmlFx5UmF+oP2Q/p6bEsrFo+67ps\ne1n+6jJexpx2G0u/OMdeLOtmMi128NpPbtNw5emvRQI+6KCDHL61uGjRoiHYzznnHIefb2AspuAJ\nN+0pd4MNNnArVqyIMTMwMoceemjyRZkigIsu4KzDHhsxS4b4Y+XSEnCsPv3VsS46H4jpgQcecAsX\nLnSzZ88uHGIZeCSIsuxhrus63xqbvpZ8VN3ul2/4rToBV22/6rmB/VokYABZc801Hf7QBcvJJ5/s\nfvjDH7r99tsvebHf6pUMFP3bxdgkRUvMBo85dGEn9gkWG09jj8FRNNYy9LNw6ri68fnzn/+8G7Vh\nOllYhylkdJRpr0xbGbBzD2ts+jq3wQIK8N2PAr8x+74ItqrtF8EWq1uLb0H7wF5++eWV/M80Pl8j\nta+MTZJ1uGA85k4Vv/XW74CkzQvs6c2HdzceeeSRNJXa9Gfx5bu56Cd44K1jqSsuH1d6rfpkqurL\nWm9V+YXdmH1fxD9i6ye3RbBTt7YJmACtro4BPHEWXcAxB2HMRpw0aVKuJ2CNe9ttt3XvvvtudWSV\naDnEGeKKfSegREheU1Uc3qHYvSAGsBNzKON8+umn3b333juAkRSDHLPvi3io2n4RbLG6tU3AM2bM\ncGussUZsHCbXBQM4JHQiy2sm5pAu6kNjwsYr26b2UdW1PJh9PhBbloxPr4q+MtaHxFWmvbrcpMj4\n2Eaccg7xXZYFCxZwuKe1xtJL51XvUdiXPPcytrJ81eYzYB3Q3LlzdZddV8BA0QWMv2IWevIs4ylb\nhz3oCTjEedWHluay19eh2PNggZ2ybOXxO2iyu+++e/C/FK0qHsxN1U+oTZj/2ibgqhaG2V3JQBmH\nWMyTSNlJZZDvfLM4r9uhUubcZcW+cmVmt8q0le0tn0Sd5vDqq6/OB74kaXBQ5trxwRrkc4Dx1PYt\naAK0uloGqj4sqtiITX4CrvqpIc9qKnttlPluCLCVjS8PNyHZKtZ8yF8dxzDXVa9lS8B1nHnDFM1A\nmQdiyGnZd8L4S1hl2wzh7+VYneIqO5GUnTRj3n3p5dzRV9lx0u4g1VjHVa/lqhN8L/i2J+BesFxT\nH2UfsGlhlr0RB/kJGN+GXbp0aRpVyaGFealDQYIrG0tZ9sqyUxXPdb05qCpen92qE2QvkrwvrjL7\n7DPgMtkcQFu9OMjK3ohvvPGGu+OOOwaQbZf5f1uXfbNShCSsjTLxlLnWYKtMe0V40rp1xqaxVnld\n9r7XWMeNG+euuuoq3T1Q1/YEPFDTVS5YHBRlHrBp6Mr2ceCBB9bmt7JpMXfbXzZX3eKAXhUJrqz4\nqng6L8KV1LUE/CEbVSdgfBS10047SeoHrm0JeOCmrDzAvXibrFdJvjxW+msJCaqKxNdtVGUlTPov\nK7Y6J7myOSN3g1Tbvo+bLXsLOo6nRkphk1R9l7rDDjskf9O7kQRWEFSdEnDZSW6kHMpnnXWW22qr\nrSpYHYNlsuqzZbDY8KO1BOznZUT0ln3A+khba621HJKwlTgGkIB78c5EHBpX6kcUWG9llTJtlYWJ\ndqZMmcLmiK0xP5aAs6ffEnA2R42VwEFvb5fVa3pHjx7t8Het61DKvkG79tprSwurzgm4tCAH2JCd\nLXGTZ58Bx/HUSKmyD9hGktTjoDbaaCN3zTXX9Nhruru6Jjpbu+lzVocR3NjbE3D2TFgCzuaosRJ2\nl9rYqS0tsLomYKzdumIrjfwBN2QJOHsCLQFnc9RYCXuKaOzUlhIY1kddP6Kw5FvKFFdqxBJwNr2W\ngLM5arSEHWSNnt7Cwdn6KEzhiDVQ15u3Ok2IJeA6zUaPsdT5CafHVJg7DwN1Xh/AZjcHnkmrSRfm\nxp6AsyfDEnA2R42WsEOs0dNbKLg6r406YytEeoOULQFnT6Yl4GyOGi1hbxM1enoLBYckV+dEV2ds\nhYhvgHLd105dKLbfAddlJvqEww6xPhE/AG7xm2T8wXsrxkBeBqZPn55XZUTKWwIekdO+Mmh7m2gl\nF9YaysD+++/v8KpjsSesOs7KSkxjx45deWGtVAbsLehUapo/YE+/zZ/jpka49tpruz333LOp4Vlc\nI4QBS8AjZKLTwrTPgNOYsf46MzBhwgT34x//uM4QDZsxkMmAJeBMipotYE/BzZ5fi84YMAbqy4Al\n4PrOTeXIkHztCbhyms2BMWAMGANeBiwBe2kZOZ2WgEfOXFukxoAxUC8GLAHXaz4MjTFgDBgDxsAI\nYcAS8AiZ6LQw7Qk4jRnrNwaMAWOgWgYsAVfLb+2t25ewaj9FBtAYMAYayoAl4IZObExY9iWsGJZM\nxhgwBoyBahiwBFwNrwNj1Z6AB2aqDKgxYAw0jAFLwA2b0Lzh2J+izMuYyRsDxoAxUA4DloDL4XEg\nreDp156AB3LqDLQxYAw0gAFLwA2YxCIhWAIuwp7pGgPGgDHQPQOWgLvnbuA17Ql44KfQAjAGjIEB\nZsAS8ABPXlHorVbL/hRlURJN3xgwBoyBLhmwBNwlcU1Rsz/E0ZSZtDiMAWNg0BiwBDxoM1YyXvsM\nuGRCzZwxYAwYA5EMWAKOJKqJYki+9gTcxJm1mIwBY2AQGLAEPAizVBHGN9980y1btqwi62bWGDAG\njAFjIMTA/4UGbazZDFx22WXNDtCiMwaMAWOgxgzYE3CNJ8egGQPGgDFgDDSXAUvAzZ1bi8wYMAaM\nAWOgxgxYAq7x5Bg0Y8AYMAaMgeYyUNsE/P7777s33nijucxbZMaAMWAMGAMjmoFaJOB3333XzZ49\n251wwgnugQcecPPmzXPjxo1z6623nps2bZpbvnz5iJ4kC94YMAaMAWOgeQzUIgHPmjXL3X777UnS\n/cIXvuDOPfdc97vf/c498cQT7r333nPXXntt85i3iIwBY8AYMAZGNAO1+BnS9ddf7+677z63zjrr\nuNGjR7uXXnrJTZ06NZmY888/33372992SMxWjAFjwBgwBoyBpjBQiwS8xRZbuMcee8xNmTLFnXji\niW7x4sUdfh9++GG31VZbda5Djbfeesvh5StLly5NnqZ9Y9ZnDBgDxoAxYAz0moFaJOCZM2e6z3/+\n8+6SSy5J6gkTJiQ8nHXWWe4Xv/iFu+WWW6J4ue6669wf//hHr+w//vEPh0RvxRgwBowBY8AYqAMD\ntUjABx10kPvXv/7l8JQqy2GHHZa8/TxmzBjZndo+7rjjHF6+8utf/9q99tprviHrMwaMAWPAGDAG\nes5ALb6Ehajx+e/48eM7BJx88slu++23d7HJt6NoDWPAGDAGjAFjYAAYWKX9n7K36ohzjTXWcM8+\n+6wbO3ZsKfAWLlzoDj30ULfLLrvksrdgwQK3YsUKt+qqq+bSGynCWD7vvPOO3SgFJhz8jBo1ytZQ\nCke2hlKIEd22hgQZnibT2F577eUZDXctWrTI3XzzzW7ixIlhwSpG28BrWVZfffXWiy++2Hdsp556\nauuf//xn33HUFQDm6JhjjqkrvFrgsjUUngZbQ2F+MGprKMzRoK6h2rwFrW8uZsyY4fAUbMUYMAaM\nAWPAGGgiA7X4EpaP2Llz5/q6rc8YMAaMAWPAGGgEA7V9Am4EuxaEMWAMGAPGgDGQwoAl4BRirNsY\nMAaMAWPAGKiSAUvAVbJrto0BY8AYMAaMgRQGLAGnEGPdxoAxYAwYA8ZAlQzU9nfAVQadx/Yrr7zi\n1l13XbfaaqvlURsxsh988IEDR2X9XruJxNkaCs+qraEwPxi1NRTmaFDXkCXg8LzaqDFgDBgDxoAx\nUAkD9hZ0JbSaUWPAGDAGjAFjIMyAJeAwPzZqDBgDxoAxYAxUwoAl4EpoNaPGgDFgDBgDxkCYAUvA\nYX5s1BgwBowBY8AYqIQBS8CV0GpGjQFjwBgwBoyBMAOWgMP82KgxYAwYA8aAMVAJA5aAK6HVjBoD\nxoAxYAwYA2EGLAGH+bHR/zHQ/t843fvvv298GAPGgDFgDJTEgCXgFCJfe+011/6P5t3WW2/tdtxx\nR/e3v/0tRbL53fgrM+DiBz/4wZBgZ8+e7XbaaSf3sY99zKHNMpK4e/fdd92sWbPcbrvtlry+9a1v\nuRUrViRUhHi4/fbb3T777JNwd+SRRzrINrXMmzcviXW77bZzxx13nPvvf//bCdXWUIeKpHHyySe7\nU045pdNpa+hDKs4991y32WabdV6HH354h6OBXkPtJxsrHgaOPvro1ve+971WO/m0brvttta4ceNa\nb7/9tkey2V333Xdfq50oWuuvv36rvdA7wV599dWtvffeu/X666+3XnjhhdbOO+/cuv7665PxkcTd\npZde2mon0FY76Sav9sHQQh9KGg8vv/xya/z48a2HHnoo0Tn99NNbX/7ylxOdpv3z1FNPtTbZZJPW\nSy+9lIR24okntmbOnJm0bQ0Nne0//elPrQ022KDVTsKdAVtDH1LxqU99qgV+li5dmrzeeeedRqwh\n15lpawxhYO211269+uqrnb5dd921NX/+/M71SGl89atfbeGgPO2004Yk4BNOOKH1s5/9rEPD97//\n/dZJJ52UXI8k7hYsWNB68sknOzyceeaZreOPPz7Iww033NDCgcKyaNGiVvvvjfOyUTVuYNt/x7gT\nE7j52te+llzbGurQknC0xx57tM4555whCThtL42kNQSWNtxww4SjhQsXttrvoHSIG/Q1ZG9Bd97I\nWNnA2z7Lly937bvRTmf7Lt617+I71yOlcfHFF7v2XfiwcJ999lnXforr9IOfF198MXkrdSRx94lP\nfMJtueWWCQ/tu3P3q1/9yn3uc58L8qC5a7+7krwtC96aVlZZZRXXPjzdY489lqyje+65x33jG99I\nwtQ8jNQ1BDJOPfVU993vftettdZanSUQOoc0d01eQ88995x744033NSpU92hhx7qJk2a5P7yl780\nYg1ZAu4s95WN9pOvW3PNNVd2tFujR492b7311pC+kXyhORozZoxDAtL94GgkcIfPfY899liHhHzU\nUUcFedAcgR+U9kccSd3Ef9pvGbptttnGLVu2zN10001JiJqHkbqGcNOGNXDwwQcPmXrNDwa5l/RY\nk9cQ1s6MGTPcXXfd5Z555pnkBo7fOdE8DNoasgQ8ZMl/eLHRRhsld1xyCHdgEyZMkF0juq05Ij+6\nHyRxrKmEIflOmzYt+ZY4DlOUEA967M0333RrrLGGa3/O3lSK3C677OIuuOAC1/583OGLau33EIdx\nxHWi+QEpHGsaQUggX//61137IwnX/ozTPfroo0mSufvuu4fxI3nQHDV5DeHGDetmvfXWc6uuuqpr\nfxzm7rzzTtf+LsUwjrhOND+SuzqtIUvAntnAROOOcvHixZ3Rf//738k38DodI7yx6aabJgcFaQA/\neGtopHH33nvvJU+++InWNddc40aNGpVQEuIB3IEvFnLH6ybV999/v5s7d24nJHwTGv+3bfvLe87W\nkEt42GqrrRKOLrzwQnfrrbe69uec7oorrgjupZG0hsDHZZdd1llD+KgG+6z9+fjgr6HOp9nWGMIA\nPtzHF5DaPzNp/fa3v21Nnjw5+cbqEKERdKG/hIUvgbR/gtR6/vnnW08//XSrfYi07r333oSRkcTd\nnDlzEh6WLFmSfGmv/UTTaj+NBHlovw3bGjt2bOuWW25poT19+vQWvrzVxAJe8AWz9ud4rfZNSuus\ns85K+EKstoaGz3j7p35DvoSVtpdG0hpqPwi18GW09tvPrfYNb7JXjjjiiIS8QV9D9i3o4Xsg6UFS\n2WGHHVrtt51b7S/ZJD9FShEdEd06AePbrfjpTPtJL/mZCb69yTKSuPvoRz/aat+aD3l99rOfTagI\n8YBvlre/cNOaOHFia//99+8kbXLYpPonP/lJq/17+uSFn9U88sgjSXi2hobPsk7AtoY+5Oiiiy5K\n1k/7t8DJTx6feOKJRqyhVRBF59neGsMYwOcMG2+88bB+6/iQAXzmsvrqqycvzYlx9yEjaTzg7Wt8\ndtfkz365JnDMINZ11lmHXZ3a1lCHitSGraH2XW57Df3nP/9JvlWviRrUNWQJWM+kXRsDxoAxYAwY\nAz1gwL6E1QOSzYUxYAwYA8aAMaAZsASsGbFrY8AYMAaMAWOgBwxYAu4ByebCGDAGjAFjwBjQDFgC\n1ozYtTFgDBgDxoAx0AMGLAH3gGRzYQwYA8aAMWAMaAYsAWtG7NoYMAaMAWPAGOgBA5aAe0CyuTAG\njAFjwBgwBjQDloA1I3ZtDBgDxoAxYAz0gAFLwD0g2VwYA8aAMWAMGAOaAUvAmhG7NgaMAWPAGDAG\nesCAJeAekGwujAFjwBgwBowBzYAlYM2IXRsDxoAxYAwYAz1gwBJwD0g2F8aAMWAMGAPGgGbAErBm\nxK6NAWPAGDAGjIEeMGAJuAckmwtjwBgwBowBY0AzYAlYM2LXxoAxYAwYA8ZADxiwBNwDks2FMWAM\nGAPGgDGgGbAErBmxa2PAGDAGjAFjoAcMWALuAcnmwhiokoGjjjrKrbPOOsnrIx/5iFtzzTU71y+/\n/LLbYost3EMPPVQlBLNtDBgDXTCwSqtdutAzFWPAGKghA5MmTXJXXnmlmzp1agfdkiVL3MYbb+xW\nW221Tp81jAFjoP8M2BNw/+fAEBgDlTIwffp0t2jRIvfwww+7GTNmuNNOO81tuOGG7pBDDkn699tv\nP4fEPWfOnA6OO+64w+28885uvfXWc9OmTXOvvPJKZ8waxoAxUA4DloDL4dGsGAO1ZQDJd9myZcnr\niiuucJtvvrl74IEH3Isvvuj22GMP953vfMddd9117vzzz3fLly93eNv6sMMOc7NmzXKPPvqoW3fd\ndd3s2bNrG58BMwYGlYH/G1TghtsYMAbyMzB69Gj3zW9+M1E84IAD3OOPP+5Qo2y00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}, { "metadata": {}, "output_type": "display_data", "png": 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7hE/jdKxSeybgAUeTidD0nPKXv/zl+pu8A6qbShTJd1kTcBO2U4GwyZ3Af95v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\nT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+kkbbv5FHl8iuDv/M7vdDdV9LMxm6T6Al8LCXp0vQ1qDm07xy42k1X76EF0182pXzeS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\nJkAADq1GKQ8CCCCAQC4Eehk75SKnB5jJVatWyaRJk2TMmDH7t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eFeD9HN2y7UIe4JBq7xLbAswBxJ1EFi7Gl7vc5VayAHsIa1sazYGYhyJj8ROv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\nt2GTbEDY44kbRFtRx4M7fcImzOK4FbX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dtCHzEpyMUdplDrWxbc1xXXzWgc2LQ8uD+Xbe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\nB4DvM2B9/NOW7Gst8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3yUQu4WRDfrUv7BNd9FfwfwpEl3OZAuvPPiBZ1DvH1nng6veJKb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\n1sUc5s+fH8yaNSuVwyuvvBJIg6KX1tbWIPy+cb3p1btcwIbfY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FHnzwwQRl+TLb/IAK2OYdxOqRAAmQgJMJQLH++OOPUrZsWV8zqlevLq1atZIv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10EMP7fXsQN6rKxzW3bF9oq91d/BZpzcjBs6XcJpEFCijL2rSesfw+CAmphHi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\nG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VuSdI2/T7CGI1l9HtFNYwYNWUbv59+pY5iRqz8wMHmRHjsR6HbCjyYAG7imf2eACDM+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} ], "prompt_number": 11 }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Measures that Describes Time Series Behavior\n", "- full description: joint probability distribution of random variables\n", "- brief description: mean function (of time t) and autocorrelation/cross-correlation function (of time pairs (t1, t2)) that measures dependency.\n", "- autocorrelation function (ACF) measures *the linear predictability of the series at time t, say $x_t$, using only the value $x_s$.*\n", "- cross-correlation function (CCF) is similiar to ACF excpets that we are measuing the predictability of another series $y_t$ from the series $x_s$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Stationary Time Series\n", "- Strictly Stationary: iff the joint probability of every collection of values is identitcal to that of the time shifted set\n", "- Weakly Stationary: if the mean funciton is constant, and the autocovariance function depends on time distance s and t only through their difference $|s-t|$. In other words, the time difference between times $t+h$ and $t$ is the same as the time difference between times $h$ and $0$.\n", "- Jointly stationary: if two time series are each stationary, and the cross covariance function is a function only of lag $h$\n", "- Leading and Lagging, consider the relations between two series $x_t$ and $y_t$,\n", "$$y_t = Ax_{t-l}+w_t$$\n", "the series $x_t$ is said to lead $y_t$ for $l>0$ and is said to lag $y_t$ for $l<0$\n", "\n", "The concept of weak stationarity forms the basis for much of the analysis performed with time series" ] }, { "cell_type": "code", "collapsed": false, "input": [ "## ACF of typical time series\n", "## white noise - wn\n", "#Acf(wn)\n", "## autoregression - ar\n", "## random walk with drift - xd\n", "## signal in noise = cs+5" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 34 }, { "cell_type": "code", "collapsed": false, "input": [ "%%R\n", "library(forecast)\n", "par(mfrow=c(3, 2))\n", "\n", "Acf(wn, main = \"white noise\")\n", "Acf(na.omit(mv), main = \"three-point moving average\")\n", "Acf(ar, main = \"autoregression\")\n", "Acf(xd, main = \"random walk with drift = 0.2\")\n", "Acf(cs+5, main = \"signal with random noise\", lag.max = 50)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "text": [ "This is forecast 4.8 \n", "\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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1D87f0aPlBEekZ+T8p+X5SGT+c+fOqo7ANZ/Q2PxmwpFPsYnKORZEH828a8eO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\nf/999eLaol6ABaR58+ZSq1atiOKpUGGJtGvnHOSiiwypVEnUi3WH6t2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} ], "prompt_number": 12 }, { "cell_type": "code", "collapsed": false, "input": [ "%%R\n", "## as a comparison ,the ACF of some real data\n", "par(mfrow=c(2, 2))\n", "\n", "Acf(speech, main = \"speech aaa...hhh\", lag.max=150)\n", "mtext(side=1, line = 3, \"repeating peaks spaced at about 106-109\\n it contains a series of repeating short signals\")\n", "\n", "Acf(soi, main = \"SOI Temp\", lag.max=50)\n", "mtext(side = 1, line = 3, \"repeating peaks located at around 12\")\n", "\n", "Acf(rec, main = \"Rec Fish Amount\", lag.max=50)\n", "\n", "\n", "ccf(soi, rec, lag.max=50, main = \"ccf between SOI and Rec\")\n", "mtext(side = 1, line = 3, \"repeating peak located at around -6 \\n so soi is -6 leading of rec\")" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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ILLFEHF3u6dKlizJH9nthcOyfJDYGGC1mNNxEYtYJc0/0w9Is+zX12Y/BfzLGTdiMfjny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9DlL3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\nDIFEkY0SXa8MI2g04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} ], "prompt_number": 18 }, { "cell_type": "code", "collapsed": false, "input": [ "%%R\n", "par(mfrow=c(2, 1))\n", "## Cross Corrleation Function\n", "\n", "## white noise v.s. moving average\n", "ccf(wn, na.omit(mv), main = \"white noise vs 3point moving average\")\n", "\n", "## moving average v.s. autoregression\n", "ccf(na.omit(mv), ar, main = \"3point moving average vs autoregresion\")" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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8WOfv1KlTsmvXrqjntWLFioKtIiGPPPKIdOjQwRfn2rVrpXLlyr5zHpAACZAA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\nAAAAAElFTkSuQmCC\n" } ], "prompt_number": 14 }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Acf conveys information of signatures of time series, but it is not necessary to tell whether a time sereis is stationary or not as the correlation plot is not against time**" ] }, { "cell_type": "code", "collapsed": false, "input": [], "language": "python", "metadata": {}, "outputs": [] } ], "metadata": {} } ] }