{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "block_hidden": true, "collapsed": true }, "outputs": [], "source": [ "%load_ext rpy2.ipython\n", "%matplotlib inline\n", "from fbprophet import Prophet\n", "import pandas as pd\n", "from matplotlib import pyplot as plt\n", "import logging\n", "logging.getLogger('fbprophet').setLevel(logging.ERROR)\n", "import warnings\n", "warnings.filterwarnings(\"ignore\")\n", "df = pd.read_csv('../examples/example_wp_log_peyton_manning.csv')\n", "m = Prophet()\n", "m.fit(df)\n", "future = m.make_future_dataframe(periods=366)" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "block_hidden": true }, "outputs": [ { "data": { "text/plain": [ "Initial log joint probability = -19.4685\n", "Optimization terminated normally: \n", " Convergence detected: relative gradient magnitude is below tolerance\n" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%R\n", "library(prophet)\n", "df <- read.csv('../examples/example_wp_log_peyton_manning.csv')\n", "m <- prophet(df)\n", "future <- make_future_dataframe(m, periods=366)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Modeling Holidays and Special Events\n", "If you have holidays or other recurring events that you'd like to model, you must create a dataframe for them. It has two columns (`holiday` and `ds`) and a row for each occurrence of the holiday. It must include all occurrences of the holiday, both in the past (back as far as the historical data go) and in the future (out as far as the forecast is being made). If they won't repeat in the future, Prophet will model them and then not include them in the forecast.\n", "\n", "You can also include columns `lower_window` and `upper_window` which extend the holiday out to `[lower_window, upper_window]` days around the date. For instance, if you wanted to included Christmas Eve in addition to Christmas you'd include `lower_window=-1,upper_window=0`. If you wanted to use Black Friday in addition to Thanksgiving, you'd include `lower_window=0,upper_window=1`. You can also include a column `prior_scale` to set the prior scale separately for each holiday, as described below.\n", "\n", "Here we create a dataframe that includes the dates of all of Peyton Manning's playoff appearances:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ "%%R\n", "library(dplyr)\n", "playoffs <- data_frame(\n", " holiday = 'playoff',\n", " ds = as.Date(c('2008-01-13', '2009-01-03', '2010-01-16',\n", " '2010-01-24', '2010-02-07', '2011-01-08',\n", " '2013-01-12', '2014-01-12', '2014-01-19',\n", " '2014-02-02', '2015-01-11', '2016-01-17',\n", " '2016-01-24', '2016-02-07')),\n", " lower_window = 0,\n", " upper_window = 1\n", ")\n", "superbowls <- data_frame(\n", " holiday = 'superbowl',\n", " ds = as.Date(c('2010-02-07', '2014-02-02', '2016-02-07')),\n", " lower_window = 0,\n", " upper_window = 1\n", ")\n", "holidays <- bind_rows(playoffs, superbowls)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "playoffs = pd.DataFrame({\n", " 'holiday': 'playoff',\n", " 'ds': pd.to_datetime(['2008-01-13', '2009-01-03', '2010-01-16',\n", " '2010-01-24', '2010-02-07', '2011-01-08',\n", " '2013-01-12', '2014-01-12', '2014-01-19',\n", " '2014-02-02', '2015-01-11', '2016-01-17',\n", " '2016-01-24', '2016-02-07']),\n", " 'lower_window': 0,\n", " 'upper_window': 1,\n", "})\n", "superbowls = pd.DataFrame({\n", " 'holiday': 'superbowl',\n", " 'ds': pd.to_datetime(['2010-02-07', '2014-02-02', '2016-02-07']),\n", " 'lower_window': 0,\n", " 'upper_window': 1,\n", "})\n", "holidays = pd.concat((playoffs, superbowls))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Above we have include the superbowl days as both playoff games and superbowl games. This means that the superbowl effect will be an additional additive bonus on top of the playoff effect.\n", "\n", "Once the table is created, holiday effects are included in the forecast by passing them in with the `holidays` argument. Here we do it with the Peyton Manning data from the Quickstart:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "output_hidden": true }, "outputs": [ { "data": { "text/plain": [ "Initial log joint probability = -19.4685\n", "Optimization terminated normally: \n", " Convergence detected: relative gradient magnitude is below tolerance\n" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%R\n", "m <- prophet(df, holidays = holidays)\n", "forecast <- predict(m, future)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": true }, "outputs": [], "source": [ "m = Prophet(holidays=holidays)\n", "forecast = m.fit(df).predict(future)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The holiday effect can be seen in the `forecast` dataframe:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "output_hidden": true }, "outputs": [ { "data": { "text/plain": [ " ds playoff superbowl\n", "17 2014-02-02 1.221621 1.201999\n", "18 2014-02-03 1.898870 1.457674\n", "19 2015-01-11 1.221621 0.000000\n", "20 2015-01-12 1.898870 0.000000\n", "21 2016-01-17 1.221621 0.000000\n", "22 2016-01-18 1.898870 0.000000\n", "23 2016-01-24 1.221621 0.000000\n", "24 2016-01-25 1.898870 0.000000\n", "25 2016-02-07 1.221621 1.201999\n", "26 2016-02-08 1.898870 1.457674\n" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%R\n", "forecast %>% \n", " select(ds, playoff, superbowl) %>% \n", " filter(abs(playoff + superbowl) > 0) %>%\n", " tail(10)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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" ], "text/plain": [ " ds playoff superbowl\n", "2190 2014-02-02 1.229999 1.176410\n", "2191 2014-02-03 1.900543 1.486962\n", "2532 2015-01-11 1.229999 0.000000\n", "2533 2015-01-12 1.900543 0.000000\n", "2901 2016-01-17 1.229999 0.000000\n", "2902 2016-01-18 1.900543 0.000000\n", "2908 2016-01-24 1.229999 0.000000\n", "2909 2016-01-25 1.900543 0.000000\n", "2922 2016-02-07 1.229999 1.176410\n", "2923 2016-02-08 1.900543 1.486962" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "forecast[(forecast['playoff'] + forecast['superbowl']).abs() > 0][\n", " ['ds', 'playoff', 'superbowl']][-10:]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The holiday effects will also show up in the components plot, where we see that there is a spike on the days around playoff appearances, with an especially large spike for the superbowl:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "output_hidden": true }, "outputs": [ { "data": 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Lp68/4vJKfx2cMbJnqrHBfePqoHgCMZlMRqMxamp1pCQlJQW/RFe2loj2RLWcrmxJllfk\nlb2xoeikw/uX/q3H9m1lNwpKhBcW0cR8nqLeecI5ZtGeFKuhxOk9UunOiDUFbgx3SjRnJ1k6JVla\nx2gzMDpsYg6QZfb13rLpG44eqXA/OKD1uL6tbCrWgfMjegJBV3Z9IV3ZGJUNEIbbL3+ae2Lmr0eN\nAv/wJenDuiWp0G6Let1Trd+M7/nTwYqOiZbsRLN+Mtx5cBy7oVPiDZ0S1x2qmL7h6Osbiu7rl3Zf\nv7REq0Hr0CBqITFDc8ky0/MAmcaqqPF9+Puxdzcdax9v/ufV7a7PToymvdNcstUwrFvyhX9Pf/7Q\nLu4P7eK2FldP33D04re3jOmd+uCAdK2a+BDdkJihiQ5XuBfvKlm8s2TPSadR4K0GPsYkWAy8ReTj\nLQaLyFsMfIxRsJsEi8hbDXycWbQYeKtBiDHyNqNgNQo2gxBj5K1GwSzqojFaXOV5Z2PxnK0nLmkb\n8+GwnIFt8IwyhOrT2v7hsM75Ja43fz16yTtb7uie/MglGS1tSTFQGhIzNE6Z07t864m5mw7nHnfc\n0CnxqSsyB7SJ8cuywyNVuf0un9/p8Ve4/U6P3+WTqtz+ao/f4fGfdHgr3A6XV6rxSRU1PqdXcvmk\nare/yuP3SzLHsTiTaDXwFgNvNwp2oxBI4bGmuh+sBt5qFOxGIcYkBrJ+vFkMXAfEmJrbI5pf4pr5\n69Flu0uGdElaeU/3Lpj4Gs6rc7LlzZs7TvlDm7d+K/7jB7nXZSdMGpTRPRXVBiIDiRkapMYnfZlf\ntnhXyY8HKi7LSrynT6ubcxKDR0I1eWklj192ev0VNX6n1+/ySlVun8MrubySw+uvrPG7fJLLKx06\n5XZ6/S6fVO2Rqtw+l1cK/BOX1+/2y4yxM7mcjzMH0nZILhfirGZB9sWZRIuBtxj4WJNoM/AWA19U\n6Znx69F1hypG9Upd/+c+GbGmiBQXtARt40wvXtv+8Usz3tl4bOgnOwdkxDw6OGMAOlqg2ZCY4Xz8\nkvzTocrFO0+uzCvrnGy5o3vyjKFd2yXHRnBUtlHgjIIY39QnUyVZrnT7HR6/yys5vFKl2xdol5+q\n8bm8UqDVXlzlKaz0VTjdle7T6b/S7XN4JJdPshr4+/q1nn5Tx4R6kzUCNESy1fCPK9o+cknrDzYf\nG7c4r1OS5dHBGao9UwdRCScjCO/3o9WLd5Ys211iNwp3dE/+dkKvwLRNJpO+RrvwHBdvvnBep/hg\nCRASaxIfHdzmgQHpc7cef+Kr/fFm8dHBGbfkJPIYOgiNh8QMZylxej/8/fiiHSerPP7buiZ9fGcO\n1mkAaCCzyN93cetxfVst3lny8trD//6x8K+DMu7snoxn7aBRkJihzoHymuGf7urZyv7idR2uaB+n\nz2kIAXTOIPAje6WO6JmyKr9s+oaj09YemTiw9T29W1kMSM/QIEjMcFruMcfdC3bfd3HryYMztI4F\ngDye427JSbolJ+mH/aembyh67ecjf744/U/9WkV8om+IPriCA8YYW3eo4o75u568vC2yMkBk/TEr\nftno7nPu6PJ7cdVFb2355w+FJxxerYMCXUNiBrYir2zc4vzXb+p4T59WWscCEJ36t4mZe2eXFfd0\nP1rlHvD2lr+vPnC4gti6YaAaJOaWbvbvxx/7ct+cO3NuzjnnenwAEBFdU6xv39rpxz/19kvyH2Zt\nfWj53j0niS0PBSqgnZhVXBkrOr267sirPx9ZOqr74MxYrWMBaCnaxZtevSHrtwf6ptgMN83ZMW5x\n3u9HiS1ZC4pq+jAEp9P50ksv+f3+lJSUSZMmcRzHGPP5fG+88UZ1dXVmZub48eMjFuY5TFm9P8li\nmHJZG6U/KPpIsvx/3xz8Yf+plff0aBeP6a4A1NbKbnzuqnaTBmW8v/nY3Qt292hlmzQo4/L2cVrH\nBdpreot57dq1ffr0eeGFF2RZLigoCLz5yy+/pKenP/PMM8XFxUeOHIlQkOf0yCUZq/eW371gT7nL\np/RnRROPX75/WcGmoipkZQBtJVjEJ/7QZstD/a7NTnh4xd7rP9q+Kr9MQmdgy9b0xJySklJYWFhe\nXl5SUhIff3r+uYKCgqysLMZYVlZWbbZWTmacadXYHqk2w2Vvb9xSRGzlba1Ue/x3L9hd7vItG9U9\nxYY1ZQG0ZzXwD/RvvenBvvf0aTX1+0OXv5e7YMdJn4T03EI1vSs7Ozt79uzZ06ZNMxqNCQkJgTed\nTmdycjJjLCkpqbr69F2TqVOnHj9+PD4+furUqc2POEQcYx+P7jfr1yM3vL/51Vu6jLuY0tM+giCI\noqoPNZ6odt/x6eb2CZaPRvY2NWmxRZ7neZ6PiyPW4aZ+UTcfz/Mcx6GoVaCfWv3Q5QkP/CF7yY7j\n09bsm7au6PHLO4zv3+Zc66KiqFWjaFG73aHj80M/afr06fX/WUJCwtixY0PeXLBgwdixYy+++OIl\nS5asWbPm2muvZYxZrdbS0tKsrKzS0tLU1NTAb1577bVOp9NkMtXU1ERmP+r5U//03un2kXO3bjhY\n+vIN2U1LOeozmUz1vxLlHDpVc9vH2/7YMfGVG7Nln6emSd3/oigajUblvkqFqFzUEWEwGERRRFGr\nQG+1ekjn+Fs69Vu9t/S1tYXPf7f3oUva3Nc/o/7yphSLGrW6Pp8v9FwcmpgD5ZWbm7tu3boRI0YI\ngrBw4cL6WZkx5vV6ZVlmjEmSVLvdTp06HTx4sH///oWFhYMHDw68WftDSUlJ5PblLDzPX5wR++34\nnvcvy7/+g98/uL0zifX7RFFU7bjaddI54tPdY/ukTrmsrc/rac49eTXDjhSKMXMcx3EcubApFrUs\nyzoM+8pM+5Wju/1yuOr19Uf+u65wwkWt/tI/Pclad9LWYcwNwfM8ubBVLmpODjfKYODAgStWrEhJ\nSWGMlZWV3XzzzRs2bAj5nRMnTkyfPl0QBLPZ/Pjjjx86dGj16tUPPPDAjBkzvF5vamrquHHjQv6J\nconZYrGIolhVVeWX5Bd+PDw/98Q7Qzvpf3yjaksebThcOW5x3pOXtb23X1ozN2UymcxmcwSXfVQH\nxdWlzGazwWCoqqrSOpDGoVjURqPRYrHouVZvP+6YvqHou32n7u6V8tDA9EDDg2JRm0wmk8lUWUls\nSJDSRR24BVwrfGJu167d3r17DQYDY8zr9Xbp0mXfvn3N/2wVEnPg5Yq80smr9j9ySfojl2ToedU1\ndY6rL/PLHl6x7783Zd3aJan5W0NiVg0Ss2r0n5gD9pXVvLGhaNnukqFdk/56SUbvzGRyRY3EHFZI\nYg5/L/aGG24YOnTo8uXLV6xYMWzYsOuvv165gJRwS07Sl2N7LNhRMmFpXpXbr3U4Wvpk24m/rtw3\n+47OEcnKAKChjonm6Td33PCXvjFG8drZ20fPz809RiwxQ0OEbzF7vd7333//xx9/5Hn+iiuumDBh\nQqD13EyqtZgDHB7/pFX7dp5wzh7WOSfZqtBHN4fSV2EfbD42bd3hz+7q1jvNFqltosWsGrSYVUOl\nxRyszOX7cFvJ2xsOX5Ruf3RwxqC2NCbvQ4s5rJAWs/Dcc8/V/yWXy3Xy5Mns7OycnByz2VxQUNCt\nW7fmf7bTqdSssAaDged5j8cT/KZR4IfkJHkl+eEV+zLjzV1SdJebjUaj16vUOjPvbT726rojS0Z1\n79kqYlmZMSaKIsUhJ4oWtUJEURQEIaRW6x/FohYEwWAw0KrVFgN/bU6rMT0Ty1zeZ747tCq/LNVu\nyEqw6PnmHcMJ5Bys1rPSU/gHs+6991632x2YKoQxxvP8HXfcoVxMyuE49uCA1r3SbH9elr+5qOrZ\nq9qJvL6rbYS8s7F4+oaiJaO6ddXf5QgARIrdKDxyScaf+6fP23b8ya8PxJgKJw3KuLVLktAyTnTR\nKnxi9vl8n3/+ucqhKOfSzNhvJ/T609L8YfN2vXd759Ron+7qrV+Pzvz16NJR3fTZgQ8AkWUSuAkX\npd3Tp9XSXSWvrS968afDj1ySflfPVKOA9ExS+MFf2dnZp06dUjkURbWOMS4b3a17K9vVH+RuLCJ2\n065RZvxy9K3fipeN7o6sDNCiiDw3vEfKT3/qPfWqdp9sO3nx/37/32/FDk+LHv1KVPgWc1FRUXp6\n+qBBgxITT6/Ru3DhQhWjUoRR4F+8tv1FrW0jP9vzf1e0va/ZT/Tq0PQNRe9tOrZsVLfsJIvWsQCA\nBjiO3dg58cbOiWsPVUzfcPT1DUX39Uu7r19agoXY5J0tWfivauLEiRMnTlQ5FHUM75HSLdU2fnHe\n5qKq127saDHQmLyzIV77ueijLcc+H9M9K8GsdSwAoLHL2sVd1i5uS3H19A1F/f73+z19Wj04oHWa\n3ah1XHBh4dPSpZdeevDgwYULFw4cOPD48eOXXnqpymEpqnuq9dsJPSvd/hs+2n6gnNiUrefyyroj\nH289jqwMAMH6trbPHpbz5dgepU7vwLe3PP7l/oOnouSkF8XCJ+Znn332k08+Wb16NcdxM2fO/Pvf\n/65yWEqLM4tz7+xya9ek6z/a/nVBudbhNNdLPx2en3vi89Hd28cjKwNAqJxk64xbstfd30cUuCvf\nz/3L5wW7Tir18Co0X/jE/Omnny5YsCAjI0MQhK+++uqzzz5TOSwVcBx7/NI2b9/a6a8r9774UyHd\nlclfWFO4YMfJz0d3bxdPYN0OANBK2zjTy9d12PhA3zZxpiFzdo5euCe6R8LSFT4xezye2oepa2pq\nLJaoHUl0VVb8txN6fbvv1MjPdpc5ic2KwBj715rCpbtLPh/dvW0csjIAXFiKzfD0lZm/T+x7cUbM\nPYv2DP1k5w8HKE151hKET8wPPfTQddddd+DAgVdeeeWyyy578MEHVQ5LTW3jTKvG9kyLMV4zezut\niWef+/7QF7tLkZUBoLHizOLkwRlbJva7JSfpsS/3XfNh7oq8Mrodh1Em/JScgwcPzs7OjomJEUXx\n0Ucfvf322yPyYSpPydlwIs/d2DnRLPITl+9NsRkiO4fleTR5mjdZZs98d/DrgvJlY7qrvPI0ZtRT\nDabkVA3FKTlZJIraIHD90u33XtTKLAqv/nzkw9+P24xCTrJFuYnDcAIJ68JTcpaVlb377rtPPvnk\nVVddpVwcOjSub6uerWz3Ls3fVFT10nVZup00R5bZP7498MOBis/HdMfDDwDQTEaBv7tXyl09k1fm\nl7++/sjLaw8/NDB9dK/UaHqalJYwq0v5/f7evXsvX768Q4cOkf2w6urqyG6wlsFgEAShpiYCjwGU\nOLwTFu2scvvnjOjeVuFBzkajsbHtIVlmT6zKX7O/fOX4PmkxGvRgi6JoMBhcLpf6H90cTShqzUWw\nVquJYlGjVgf7dm/Zf9YeyjvpnDiozZ8HZMSaIjkzSaDFjFodzOfzxcfHB78TpsQFQejevXvfvn0H\nDx5ss53u1I3IzF/KdQXwPM9xXES2H2dkC0d2e37Nocvf3TTrtpwrOsRf+N80lSiKjYpZltnfvtr3\n86GK5ff0TDLzmnQYchzX2LD1gGLMEazVaqJY1Ixm2ArFfEW7mCva9fjtSOV/fz7y37WF9/ZLe3Bg\nRkqElhjgOE4QBBR1MEmSQt4Jvx7zzz//HPJOROYYUXk95mZamVf26Kp9D1+S/tdLMhRaSa1Ra3xK\nsvy3rw5sLKpaMqpbslWzdTiwHrNqsB6zaiiux8xUKepdJ53T1xd9vbd8ZM+UhwamN3+cKdZjDitk\nPebwfRTz5s2bOXNm7cvx48dH2eRfDXFzTmJOsmX8kvzfj1bPuCU7xiRoGIwky499uX/L0eqlo7on\nWTHnLQCooVuK9Z2hnQ6eqnlzw9E/zNo6pEvSXy/J6JwctQ/Q6kToKb5r166MscLCwu+//z7wTv3u\n75YjO8ny9bgej67ad+3s3NnDcrpotLaxJMuTVu7bccKxdHT3RMxEDwDqah9v/s+NWX+7rM1bvx69\n4ePtl7ePmzQoo29ru9ZxRa3Qs/y6desYYxMnTnzrrbdq32yxiZkxZjMKs27r/PbG4pvn7Hzlhg7D\nuiVf+N9ElF+SJ63at+uEc8nd3bE+DABoJc1u/OfV7ScPbjNrU/Fdn+3ulWafNLDM1hoAACAASURB\nVCj9snZxWscVhUJP9ElJSYyxqJyDszke6N+6Vyvb/cvyNxdVP3dVpkFQ6SkCvyQ/vGJvQalryahu\n8WZkZQDQWIJFnHJZ24cGpn+05fjEL/a2iTNNGpR+fXaiQgNxWiY8ptZQgzNjv7u315bi6mHzd51w\nqDGk0CfJDy7fu7+8ZvHdyMoAoCM2ozBxYPrmiRfd3Svl6W8PXfH+toU7TvokTBwWGUjMjZBmNy4b\n3a1Hqu3qD3J/O6LsWFmfJD/wRUHhKffCkV3jkJUBQH+MAje2T6tf/tLn0cEZM345OvDtLbN/P+72\nIz03FxJz4xgF/sXrOjx7Vbu7F+yZtemYQp/i9Ut/XpZ/tNKzcGTXyD7dDwAQWQLPDeuWvOZPvV+8\nrsOCHSf7vfX7jF+OVnv8WsdFGBJzU9zZPXn5Pd1nbSp+4IsCpzf02fBm8vil+z8vOOHwLhjZVdtn\ntAAAGojj2HXZCavG9nh3aKefDp7qO/P3l346XObyaR0XSUjMTdQtxfrN+J7VHv8NH23fXx6x6eU8\nfum+ZQVlTt9nd3W1G5GVAYCYwZmxC0Z2W3x3t/wSZ7+3fn/q24NHq4hN0ao5JOamizOLc+7oclvX\n5Bs+2v5VQVnzN+jxyxOW5FfW+D69q6sNWRkAyOqVZvtgWM4343tWun2D39366Kp9EWzARD0k5mbh\nOPbYpRnvDO08aeW+f/9Y6G/GoES3Xx63eI/LK80f0dWKRV0AgL7sJMsbN2evu6+31cBf9UHufcvy\ntxUTm2JWE0gAEfDHDnHfTuj1/f5Tdy/cU+ZsypNUbr98z8LdXonNG9EFS60BQDRpE2f697UdNj94\nUVaC+ZaPtt364eZfDiM9nw9yQGS0jTOtHNuztd14zezt2441bq7zGp80ZuEextjcO3PMIr4RAIhC\nSVbx/12RuWvyoMuzEu9dmnfLnB3f7jsVbhElOMciFtAEJoGbfnPHj7ceHzZv14geyVajcMrlY4zV\n+KQanyTJrMrjZ4w5PH6vX/LLcpXbz/N8RY3P7ZMuaRPz0Z1dTQLmzgGAaBZjEp64osPYngnztp2Y\n8vX+OLMwaVCbITmJAo+zX52mJ+ZFixb9+uuvjLHq6uoBAwZMmDCBMVZSUvL444+npqYyxiZPnpye\nnh6pQKkY26dVr1a25XlljLG28SaeMaPIB+4ZB2bvMou8SeA4joszixaLhfe5DQLfJtaIegkALYRZ\n5O/tlza2b6vFO0teXXfkxR8LHxmUMaJHslGt2Y51Lvx6zI0yc+bMO+64Iy0tjTG2e/fu3Nzcu+66\nK+xv0lqPWQUUV67FesyqwXrMqsF6zKqpvx6zJMtfFZRP31B0rMrz4MD0sX1a6XD0q8rrMTd3/wsL\nCy0WSyArM8aOHz9+9OjRGTNmrFmzpplbBgCAqMdz3E2dE78e1/ONmzsu2XGy55ub/vPzkXKdzUyy\npahyW3F14D8VPq65LebXXnvt/vvvj4mJCbz87bffKioq+vbtO3369OHDh/fq1Ysx9vbbb5eVlcXE\nxNx///0RCDkcQRB4nvd61VhbIoJEUfT59FX/LkgQBEEQPB5iMwYQLWrUanXwPC+KImq1Ci54Atl4\npOKprwo2F1UO7Zoysk/razurvdJuwJaiyuCXgiD4/acnGe2bERvZz/J4PLGxZ22zWYO/HA6Hy+Wq\nzcqMsQEDBgR+uOqqq/Lz8wOJuVWrVhaLxWq11u5YxPE8L8uycttXSPCXTQXHcTzPkwubaFFzHEcu\nbIpFzRjDCUQdFzyBXNTavmpC3yU7js/dcuyuT7Zd3znp7t5p6bGm2l+IbF4MScDnEhxzxMu8fvO4\nWYl58+bNgdRba/78+d26devdu3dhYWF2dnbgzdtvvz3wg3L3mBljoii6XC7ltq8EnufJxWwymSiG\nTTFms9nMGCMXNsWiNhqNgiCQC5tiUZtMJo7jLhj2jR1jb+wY+3VB2YLtJeMX7hycGTOyZ2qHBDNj\n7Jf9J1WJ9Cw8z7vd7sDPKpR5sxLzxo0bR4wYEfg5Pz9/9erVd91112uvvbZo0aKkpKRBgwZFIkIA\nAGiJru+UmGY3jumTunhnyaOr9vdOs43smdIt1ap1XIqLwKjshsOo7BBEB1ViVLY6MCpbNRiVrZr6\no7IvKDDeqsrj/2J36ZJdJR0SzHf3SumXHnPBfxhBFoultqHcu7U94tsPGZWNCUYAAEC/AolwW3H1\n6N6pd3RPXpVf9uq6IwkWw929Ui7NjOW5KJwBQnePiwEAAIQIpGezyA/rlvzxnTm3dkl8f/Ox+5YV\nrC4o80mS1tFFGBIzAAAQUNuHbOD5GzolfnB75/F9Wy3ZXTpucf6yXSUef/SkZ3RlAwAADb1b22un\n+OA57vL2cZe3j/utqGr+thNzt50Y1j15aJekKFjMHokZAADICM7NAQMyYgZkxOw44Zy/7cSCHSW3\ndkka1i0psDYBUejKBgAASnq3ttcfGt0j1frCte1fuyHraKX7nkV5M345erya2FRutZCYAQCAnrCP\nLWUlmp+6MvOdWzt5/NKfluZPW3ek8JRb/diaCYkZAABIOtcjxemxxscubTP7jpwYI//wir1Tvz+U\nX0ppijQkZgAAoOo8030kWw0PDkifO7xL+wTzk18feHL1gW3HaMzHgsQMAACEnX8qrliTMK5vq7nD\nu1yUbn/hx8K/rtq3obBSxRkvmwKJGQAAaLvgNJlWAz+iR8onw7tc1zHhrd+O/vnz/O/3n/JLOs3P\nSMwAAEBeQ6awNvDcLTmJs4fl3N0rdX7uifFL8lbklXn1l56RmAEAIBo0cHkJgeeuyop/d2jniQPS\nV+8rH71wz4IdJ51eHU0cRvgRbAAAgGD1px85F45jgzJjB2XGbjvmmJ974tPck0O7Jt3eNSlWBzOT\noMUMAADRo7HLMvZOs710XYeXru9wsNw9ZlHe/347WuL0KhRbA6m6HrNyK8sajUae52tqahTavkJM\nJpPbTezhd1EUjUaj0+nUOpDGoVjUBoNBFMXaVWCpoFjUqNWqUa1Wbz3alHRz6FTNvK3HfthXdk12\n4qg+aW3izIH3DQaD13s6W/eJ9FLQPp8vISEh+B1V2+x+v1+hLUuSxHGccttXiCRJ5GLmeV6WZXJh\nUyxqQRBQ1OpArVaNarW6ZytrE3JzmxjDlMvajuub9tn2439avHtQZuyo3q06JlpEUayNOeLB128e\nq5qYfT6fQls2GAw8zyu3fYXIskwu5sBxRS5sijGLoihJErmwKRZ1IDGTC5tizIIgiKKoTtg9Ui0N\nvN8cItnCPzSg9eheKUt2ljy6cm/3FOu4/m06x59OlyoEj3vMAAAQnRp7vzlYvFm8t1/aJ3fmdG9l\n/cdXBY+t2r+xqEqde79IzAAAELWak5sZYzajMKpX6uJ7el/ePvb19UUTlxe4lH+wSvtx4QAAAMpp\n+DNU52IShdu6Jd/SJXHbMYfFoHiDFi1mAACIcs1sNweIPN8v0kOyw0JiBgAA0BEkZgAAiH4RaTSr\nA4kZAABahN6t7STSMxIzAAC0IPrPzUjMAADQsug8NyMxAwBAi6Pn3IzEDAAALZFuczMSMwAAgI4g\nMQMAQAulz0YzEjMAALRcOszNSMwAANCi6S03N30Ri0WLFv3666+Mserq6gEDBkyYMIEx5vP53njj\njerq6szMzPHjx0cqSgAAAOU0f6GLCGp6i/nOO+985ZVXXnnllR49etx4442BN3/55Zf09PRnnnmm\nuLj4yJEjEQoSAABAWfppNzd32cfCwkKLxZKWlhZ4WVBQ0L17d8ZYVlZWQUFBmzZtGGNz584tLy+3\n2+0jR45s5sediyiKPM/bbDaFtq8Qg8FALmZBEARBIBc2xaJGrVYNarVqdF7UFos/7PuiKFoslsDP\nEQ/e6/WGvNPce8yLFi0aPnx47Uun05mcnMwYS0pKqq7WS7cAAADABfXNiNU6BMaa2WJ2OBwulysm\npm59SqvVWlpampWVVVpampqaGnhzzJgxgR9KSkqa83HnYbFYRFF0OBwKbV8hNpuNXMwmk4njOHJh\nUyxqs9lsMBjIhU2xqI1Go8ViIRc2xaI2mUwmk0nPYXeOF+rfbLZYLC6XK/CzwyEoHUOzWsybN2/u\n1atX8DudOnU6ePAgY6ywsDA7O7s5GwcAAFCf5jebm5WYN27c2KdPn8DP+fn5M2bMuOSSS4qKil55\n5ZXU1NS2bdtGIkIAAIAWhJNlWbUPU7oru6qqSqHtK4RoT5TZbK6oqNA6kMahWNSBrmzUahUEurJR\nq1UQ6MqurKzUOpALC+7QDu7KVqI9HRibVQsTjAAAAITSsEMbiRkAAEBHkJgBAADC0KrRjMQMAAAQ\nnia5GYkZAADgnNTPzUjMAAAA56PyjGBIzAAAABegZrsZiRkAAODCVMvNSMwAAAANok5uRmIGAADQ\nESRmAAAAHUFiBgAA0BEkZgAAAB1BYgYAANARUdUPE5X6OJ7nOY5TbvsKoRgzilo1PM/zPE8ubIpF\nLQgCxbApxoyirk+SpJB3VC0dQRAU2nIgWyi3fYXwPE8xZhS1OlDUqkFRqwZFXZ8syyHvqJqY3W63\nQlsONCyU275CKMbMaIZNMWaO4ziOIxc2xaKWZZli2BRjZozxPE8ubJWLmqufqylauXJlXl7eY489\npnUg0W/9+vVffvnlv/71L60DiX6rV6/eunXrlClTtA4k+m3cuHHx4sUvvfSS1oFEvx9++OHnn39+\n6qmntA5E16Jk8Fd1dXV5ebnWUbQILperpKRE6yhahOrq6tLSUq2jaBFcLtfJkye1jqJFcDqdqNUX\nFCWJ2W63JyQkaB1Fi2CxWJKTk7WOokWw2+1JSUlaR9EiWCyWlJQUraNoEaxWK2r1BUVJVzYAAEB0\niJIWMwAAQHSg9DCZ0+l88cUXfT6fzWabMmUKz/NvvPFGdXV1Zmbm+PHjfT5f8Eun0/nSSy/5/f6U\nlJRJkyZxHKd1+JScv6gDv/P8888/8cQTZrM5pOS1jJugRhV1yC8bjUZNYyemUUUdeLlt27bvv/9+\n8uTJmgVNU6OKWpblWbNmnThxIjY29pFHHsG5mjEmPPfcc1rH0FCrV69OTk5+5JFHioqKSkpKjh07\nJsvyQw899OWXX3bo0GHHjh3BLzdt2pSUlPTwww9v2LAhKSkJdzUa5fxFzfP8P/7xj9zc3OHDh4ui\nuH79+uC/jY2N1Tp8ShpV1CG/nJWVpXX4lDSqqBljTqdz5syZNptt0KBBWsdOTKOKetOmTVVVVQ8/\n/LDH4zGZTHa7Smse6xmlruxOnTpdeeWVjDG73W4wGAoKCgInpqysrIKCgpCXKSkphYWF5eXlJSUl\n8fHx2kZOzvmL2m63v/zyy7169Qr8csjfahc1SY0q6pBf1ixomhpV1Iyxjz766M4779QqWtIaVdS7\ndu3y+/1vvPGGy+VKS0vTMGz9oJSYO3funJSUtHHjxvXr1/fv39/pdAaGByclJVVXV4e8zM7O3r9/\n/7Rp00RRxIDtxjp/UbMz0/cEfrn+30LDNaqoQ35Zy7gJalRRb9y4sVWrVpmZmVpGTFajirq6uvrY\nsWMjR4789ddft2zZomXcukEpMTPGFi5cuG7duqeeespqtVqt1sDzcKWlpXa7PeTlggULxo4d++KL\nL/bu3XvNmjUax03QeYo65DfP/7dwQQ0v6pBfVj1S8hpe1MuWLdu5c+fMmTN37Njx9ddfaxEsbQ0v\napvNds0116Smpl522WX79u3TIljdoZSYN2zYUF1dPXnyZJvNxhjr1KnTwYMHGWOFhYXZ2dkhL71e\nb+BJMEmSfD6flnETdP6iDvnl8/8tnF+jijrkl6FRGlXUL7zwwtNPP/3QQw/16NHj+uuvVz9a0hpV\n1NnZ2Xv37mWMHThwoFWrVqoHq0eUBn+tXLlyx44dP/7447fffmsymQYNGvTdd9+tXbs2NTX18ssv\nT09PD37Zrl27jz766Mcff6yoqBg9ejS5xUy0df6iDvzODz/8cPnll4uiGFLy2kZOTqOKOuSX27Vr\np23wtDSqqAMvHQ5Hbm4uBn81VmNPIKtWrVq1apUsyyNGjOB5Ss1FhWCCEQAAAB3BtQkAAICOIDED\nAADoCBIzAACAjiAxAwAA6AgSMwAAgI4gMQO0LC+//PL06dO1jgIAzgmJGQAAQEeQmAGin9frffDB\nB9u3bz9w4MDc3FzGWGVl5ZAhQ9q2bdupU6fvv/9e6wABoA4SM0D0e//99w8ePJifn798+fJ169Yx\nxj755JOEhITDhw//73//++KLL7QOEADqIDEDRL8ff/xx4sSJRqMxNTV1xIgRjLHBgwevXbv26aef\nttvtr7/+utYBAkAdJGaA6Be8yp4gCIyx3r17b9myJSMj47nnnhs2bJim0QHAWTBXNkD0e/fdd5cv\nX7506dLKysoBAwY88sgjFRUVfr9/6tSpxcXFnTt3rqysrM3cAKAtrLkEEP0mTJiwZcuWnJyclJSU\ne+65JyEh4dZbbx05cuRHH31kMBjefPNNZGUA/UCLGQAAQEdwjxkAAEBHkJgBAAB0BIkZAABAR5CY\nAQAAdASJGQAAQEeQmAEAAHQEiRkAAEBHkJgBAAB0BIkZAABARxSfktPhcCi0ZY7jRFH0er0KbV85\ngiD4/X6to2gcnud5nvf5fFoH0jgcx3EcJ0mS1oE0TmCdCYqVRJZlcpMJiqIoSRLFSkKuhjDGjEaj\n1+slV0mULm2bzRb8UvHEzPNKNcp5njcYDBSrpiiKFOtl4PyldSCNE7yqEiGBGkKxkkiSRC5sURRx\nGlFN4KRNLnJFS7t+85Jwi1kURVEUldu+cmw2G7mwTSYTx3HkwhZFURAEt9utdSCNY7fbJUlyOp1a\nB9I4ZrPZ6/WSS3KBGkKuklA8jTDGzGaz0+kkd4mvcmnjHjMAAICOIDEDAADoCBIzAACAjiAxAwAA\n6AgSMwAAgI4gMQMA1DlS4R63OE/rKFqQ134uWplXpnUU+qL441IAAISUunzbj9N7DImufWUumxFN\nxLOgOAAA6pCb+4I6CQVeDxIzAEAdZAmVocDrQ2IGAKiD9pvKUOD1ITEDANSR0YRTl4xGcz1IzAAA\nddCAUxlu6teHxAwAUAdpAjSHxAwAcBakZjWhtOtDYgYACEJv/W7aZBm9FKGQmAEA6iBJqAz3mOtD\nYgYAqIMsoTIUeH1IzAAAddCzqjrcPAiFxAwAUAfPMatMZjJ6s0NEYBGL8vLyl19+meO4Vq1aTZo0\nieNw+QMAVCFHqAwFXl8EWszffPPNNddc8+KLL7rd7v379zd/gwAAWkGaUBkKvL4ItJgvv/zyuLi4\nkpKSysrK+Pj45m8QAEArsoyeVVWhsOuLQGJOS0tzu93Tpk0TRdFmswXenDt3bnl5ud1uHzlyZPM/\nIiye53mer/1EQgwGA7mwBUEQBIFc2DzPcxwnisTWHRdFUZZlcqUtCEIgcq0DaRxBEEwmU20lMZnd\nHMfpv/ApnkYYYxzHWa3W4ErCC7zBaNT5viha2l6vN+SdCHRly7JsMpmmTZuWkZHx888/N3+DAABa\noXZdQR4KvL4ItCTefPPN6667rkuXLgkJCTx/OtOPGTMm8ENJSUnzPyIsURRFUXQ4HAptXzk2m41c\n2CaTieM4cmGLoigIgtvt1jqQxrHb7ZIkOZ1OrQNpHLPZ7PV6/X6/1oE0TqCG1FYSl8sly7L+qzrF\n0whjzGw2O51OSZJq3/H5/B6PR+f7onJpRyAx33777W+++abFYrHb7cOHD2/+BgEAtIJVCFWG59Pq\ni0Bibtu27bRp05q/HQAAzaFnVWWY0aU+TDACABAEMzGoC0m5PiRmAIA6eFpKZSju+pCYAQDqIEuo\njeNwmzkEEjMAQB2031SGAq8PiRkAoA5ab6A5JGYAgLMgM6sJpV0fEjMAQB30rKoMo+3qQ2IGAKiD\nJKEyFHh9SMwAAHVwj1llKO76kJgBAOrIMp6sVRVKuz4kZgCAOsgSKsPk5PUhMQMA1EH7TWUo8PqQ\nmAEA6uAes8pQ4PUhMQMABOOQKNSEFnN9SMwAAHWQJlQmY/xXPUjMAAB1kCRUhvKuD4kZAKAO8oTa\nsP51PUjMAAB1ZORmdaG060NiBgCog65slckyYxxazWdBYgYAqIO0rDI8LlWfqPQH2Gw2hbbM8zzP\n88ptXzkGg4Fc2IIgCIJALmye5zmOE0XF63lkiaIoyzK50hYEIRC51oE0jiAIJpOptpIYjVUcx+m/\n8CmeRhhjHMdZrdbgSsJxvP73RdEIvV5vyDuKn7AcDodCWxZFURRF5bavHJvNRi5sk8nEcRy5sEVR\nFATB7XZrHUjj2O12SZKcTqfWgTSO2Wz2er1+v1/rQBonUENqK0mN2y3Jkv6rOsXTCGPMbDY7nU5J\nkmrf8UuS1+vV+b6oXNroygYAqEOuxU8d1mOuD4kZmsjtlxfsOKl1FACRhzwB2kJihiYqPFXz7HeH\ntI4CIMKQlNWHK6EQSMzQRLKM4ZQQhZAkVIanpepDYoamwykMAJpJlnEmCYXEDE2E5jJEJYxEAs0h\nMUMzoAcKACDSkJih6dC2gOiEK04Voe+tPiRmaCLcGYLohKysOuTmEEjMAAAAOoLEDE2Hq1wAaCZ0\nvNWHxAxNhGVrISrJMgZPgMaQmKHpcGcIAJoPF0IhkJgBAEAzyMr1ITFD0+GIguiDnmzQHBIzNB1O\nXwDQTDLOJPUgMQMA1EFzGTSHxAxNJGPmLwAABVw4MePkC+eCmgFRCRUbtBU+MX/33XePPvooY+z2\n22+PjY2dPXv2eTbhdDqffvrp//u//3v++ec9Ho8SUYIOYUpOiEqo1OpD8y9E+MT8l7/85ZZbbtmw\nYUNNTU1eXt4LL7xwnk388MMPffr0efHFFzt27PjTTz8pEycAAECLED4xu93ua665ZuXKlbfddlt6\nerrX6z3PJjp16nTllVcyxux2u8FgUCJK0Cdc5wJAM+EkUp8Y9t3evXuPGzfup59+2rJly7PPPtu6\ndevzbKJz586MsY0bN65fv/7pp58OvDlx4sSioqKkpKRZs2ZFPOgAjuN4nk9ISFBo+8rhed5oNGod\nReNwHMdxXHBpx7hEdvY7OsRxHGPMarVqHUjj8Dwvy7LJZNI6kMYJlDa5yzWe50VRrK0kFksVY3qv\n2IzmaYQxxnFcXFxc8Ds8z1ssFp0XuKKlXVNTE/JO+MT8ySefzJs377HHHouPjxcEYf78+eff7sKF\nC48cOfLUU0/VVu4nnnjC7XYbDIaqqqrmxx1W4FhSbvvKsVgsLpdL6ygax2AwmEym6urq2nccDocs\nM52XvyAIgiCQG/pgsVhkWa5/uOqc0Wj0+XySJGkdSOPYbDav11tbSWpqamRZ1nnFZjRPI4yxuLg4\nh8MRXEn8fsntduu8wBUtbUmSbDZb8DvhE7PH43nwwQcDPz/zzDPn3+iGDRuqq6snT54c/GZWVlbg\nh5KSkiYG2wCyLPt8PuW2rxBJksiFLQhCSGn7/X7GGIkdIRFkMFmWKVYSURT9fn+gYhAiy7Lf768t\nbb8kMQp1hmINCah/9ab/fVE5wvD3mC+++OJhw4Z98cUX57+7HLBt27atW7c++eSTTz755Nq1ayMd\nIegUBmUDACghfIt5//7933777Zw5cyZNmnT77bePGzeud+/e59rEAw88oFh4oGvk7iYCNASWTVMT\nLvHrC99iFgTh+uuvnzlz5t/+9rf33nvvyiuv7Nev3/r161UOriE8fnnA21skUt/sX7/Y/VVBmdZR\nNNFT3x78++oDD3xRwIgMpyx1eq98f5vWUbQgr68/8v7mY1pH0WiPfbnvjvm73vr1qNaBNM7At7e4\nvMRu6jPGTjq8V32Q+4dZ2ypqfBzjtA5Hd8In5nnz5g0dOrRnz547duxYsWJFaWnpe++9N3bsWJWD\nawi3TzpQXuOXSOSI04orPWUuXd9QOY9j1Z7fi6qOV3upXAtVe/yFFW6to2hBTji8Jc4L3wLTm2NV\n3u3HqkucPioVmzEmy2x/eU2Nj15irvb4D1e4D5TXuHwS+ifqC9+V/f333z/88MNXXXWVIAiBd/r2\n7fvvf/9bxcAailZbOYB0RZRlJp1ZGI9E2UsyetxVRXRKOJnJkkzs2KR49gsIZONA9GR3QkHhW8yz\nZs3KzMzcsWPHtm3bNm3aNGTIEMbYiBEj1I2tQeSgP6mQJMJ1UZLrEh2JsxjdoiaKaHnXNtwIXVic\nCZhIuEECMddeNBPcA2WFbzFPnjx51apVx44d69u3765dux5++GGVw2o4it8oiXx2bpxEaglVQqFG\nB5lmDZdlmdwwJIopOUAmdQGkvvAt5tWrV+/cuXPy5Mn/+c9/Nm/evGPHDpXDargz3yyl4QMyxfPW\nGcFHE4njSiI1/iAKkKgVYXAcuVu1cuC8x1E6+wWcbigzGdfNYYVPzKdOnWKMDRgw4KeffsrMzDxw\n4IC6UTUCxbMA3TtDjDHpzJFE5WqdRpRRhGj1luXTkRO6bCYTaD0SnUEqmgjflT1s2LAhQ4bMmTNn\nypQpJ06cSE5OVjmshiN0FNUheIVbK3D+qj2iZFnveyPLZK4hogPRLkpJrhv6RSV8mWhZMyYHXcDJ\nMuk+REWET8xvvvnmzp07U1JSZs2a9d13382cOVPlsBpOOt0lQgnpVBEYvBr8UuePIRJtwNFF9CRb\n12KmE75EeeTUmdKmGb3CQhPz9OnTa3/+7rvvGGOxsbE///xzx44dVY2rwSh+r6RThSSdvsKlsg+4\niaUyiVDlCCKzuucAqaAVbTBJZhj7cR6h95hrampqamp+++2311577ciRI8XFxW+88Yau7zEH/iRV\nQUl33MhMloLC13/B06obUYBoeUsEO1TPdLwTC5ud3T9BtMIoKrTF/Pe//50xNnDgwE2bNqWkpDDG\npkyZcvPNNz/77LMaRNcAFL9UgiHXCRxIdfeYNQ2mIWSalYQumel+3EE4xHRriQAAIABJREFUsswY\n4wLJmcrFHJEww5CZzBhXe/6guyMKCT8q+9ixY/Hx8YGfY2JiTpw4oWJIjSMFbtiS+l5lagEHq81z\nVHaB2urA5FGpGCFkJpO7x0TupnitoDHwEEb4wV833HDD0KFDH3zwQY7j3nnnneuvv17lsBqOYqUk\nfXNFPvuurSzLOn+InN6FG3GEWpzBTncFaR1Go9CKNpgky9KZwQh090I54RPzjBkz3n///Xnz5vE8\nP2TIkAkTJqgcVsPRerwhgNoQk7OcmSv7zEt9Z2XGmM6vG6IPufQWIAcdmFTipxVtsODp4Tia7StF\nhXZl9+/f/9ChQ6NGjfruu+98Pp/H4/nmm29GjRqlSXANQfELJV0L67qyiZS9RPgqiCSipR10j4bM\nHpAJtB5a41TUF9pifuKJJxITEx999FFNomkCcscSOz1dPqWAg0kSsVtxlGKNCrSqRy2KUVM8+wXU\nngAxNjOs0MS8bNmyZcuW1f+9Sy+9VJV4Go1ihqMYc63TBxJX91LncNirjOgDMHX9QHSGlNM9k2BI\n5vmFJub77rtPkziajOJAKoqnrVqyLAePBdX/4C9J9xFGGaK1m2JDn+K8h6fVXtlT7j5UTmhivvrq\nqwM/fP3112vWrPH7/VdeeeVNN93U5A8wGAxNj+68BEHgOE4QRMaYaDAYDIJCHxRxMmM8LyhXMkoI\nlLbBYJAZxziOMU4URSbLomgwGMI/dKcHgiBwHM+UrIdK4Hl6MTPGBEGQZZlxHMdzhILnOE4UxUBD\nmecFjuNlmUDh8zwvCAJjzGAw6D/aWoHTCM+fPl2LoshxHC/o/XzI87xyEUr1OhDCn1KnTp36zDPP\npKenZ2Zm/vOf/5w6dapCATUfyfsr9EKuU/u4J5W9oNmxShjR4qZ4JglcTFAMvPZpDjSXwwr/uNSc\nOXNyc3OtVitj7N577+3bt2+TZ/7yer1Nj+68ZFmWZdnr8zHGPB6vl85qqpIs+/x+5UpGCTzPy7Ls\n9XolKVDwsi9Q8l6veI7LOz2QZdnvl5iS9VAJJpNJkiRaMTPGBEHw+Xx+v59W8IHK7JdkxlggeEah\nwhiNRo/Hyxjzer1eL5mbNYHTiNd3unh9Pp8kyfqvMEajUc0Iz3lK5c6MgAj0qukWxTtDJK/Nz5DP\nXqVA//tCbmUC6oiOsz3ddOM4QjPSUDz7BYQETqXAVRO+xTx69Oirr7567NixHMfNmTPnrrvuUjms\nhqP1TG0A6VRRN68TkWt0WnUjChAtbopHJOkJRk7/QDF65YVPzFOnTh04cOCaNWsYY08++eQtt9yi\nalCNQfFrJZ0qTs/yH/QYos4RnYiKLqIFTvGZYEqxni24rU93L5QTvpu6urra5/P169evX79+Dofj\ns88+Uzmshjs9JSep71aWGaFnJUPIZy+kqv+Sp9vdRxTR4qbYhjtz9qMT8RmY9uv8wreYx40bd/z4\n8b59+9a+o9vebIJ1kuSz17UCM1zWTiKh/9YR0VuedEk0V0+T6/2pfwSL+bSQGkJ2P5QSPjHv3Llz\n9+7dHIVWHcW7LDRPXKeRy3O0oo0CRAucYtiBy2KakZ/5gWDwKgjfld2nT59Dhw6pHErTUOyopBdx\nEFmWJZnScaX7AKMN1Sk5zyQ5QrHT7XujsCqdlkJbzMOHD2eMnTp1Kjs7e9CgQWlpaYH3Fy5cqHZo\nDUOxZlKMuVbtkHIqnX6Y809lFK+VGc0kR7G/MKC2z5By76GCQhNz7bpSzz33nNqxNIlMahaqANKp\nIjDzV9BxpW04F6b7AKONTLPMz1xuBv5Poz1HN6mFxE12P5QSmph1u4rUuZC8ztU6gOYIGZWtfxKu\nydVFtLgpRk3rSAxW261Cdg+UpetZvRrizJ0hSt+vJNGK9yzSmR4KKs996j7AaCMzjmKZn16piVTk\nhDveSD1yqT76iTnwpVIYQB6MdFUMHrih/0EcdEeu0kU9YVCJnla0wYLm9GUcR7jCKCRaEjMpdDug\n2Om5smVCt8kp1hDSyA7+qhuOpG0kDUcm0HqCzx50yls95BOz7htsUYjWgUQrWoDGoljDg2b+whiQ\nMOgnZsYYwapJLuBgklz3tCeV5hGV9n10IFIpwqBYTyjGXEuWGceRHJSgKPKJmeI3SiWZhRXU46dt\nIA1F+rRFEdE7NXK9H/Tv9AAbgt2GtYXMcUyWZWpjhBRHPzGf/pPQ0cQYqftY1J0ZPa51HEAHlcOT\nynz19QUP/iI3y68KyCdmikhXwpA8R3pfQAlyYKAtNacv8WnOJwpRhnxipngUUbkeDyukx0//+6L3\n+KIO0QLXfUUOg25vUPCC7hTjV1rEEvPzzz9fU1MTqa01HMWnVInOWRiMUIuZ7rOedOn/cq2+2hng\nCfUMEwq1Hnp9KmoKv+xjo1RXV0+dOjUvL6/5m2oCgmcA2sidcymfvEiiVkHCoLUHtKINCJ0rW5so\n9CsCidlut7/88svPPPNM8Ju5ubk1NTUGgyErK6v5HxGWIAgcx4miyBgTRNFgMCj0QREny4znBUIB\nszOlbTAYTl/qcpwgCIwxUTToeUcEQeB5njEmiqJBIHPjJhCzngs2rECVYBzjeJ5Q8IHTyJkpBPnA\nXug/fp7nBUFkgbqt+2hrBU4jp6sKY6IoMo7jdV9hFI1QkqSQdyKQmBljPM9zZw/3mDt3bnFxcUJC\nwmuvvRaRj6iP4ziO40xmM2PMarXabCaFPkgJRqPRZrNpHUUjcBzH87zNZguM6+F53mw2M8bMFovN\nZtY6unPiOE4UDYwxm81GLjEHLjoJ4XlelmWeF0RRJFS9A1dvHHfmAs5gZIzpP36e580WC2PMYrHa\nbFatw2kEi8ViNBoDP5stlkCq1nmB8zxfezERcfXvAit15E+bNi3wQ0lJiUIfIYpiTExMVVUVY6yi\nosLsNyr0QREnybLT5Tx16pTWgTSCyWQym80VFRWBizu/319dXc0Yq6iosMsajC1oIFEUa9xuxlj5\nqVNGOonZbrdLkuR0OrUOpHHMZrPX6/X5fG63h1D1jo2NdbvdfklijLk9bpeLZ4zpP36bzVZZWckY\nq6ysPCV6tA6noZKSkiorKx2O03W7qqpKkiS3263zArfZbA6HQ7nt2+324JdkTlXngpsTKiM07CuA\n3E1x6qKguGlVGYo1vO7hjsCcnAR3QVHkE3MArW+V9LOSp4fB174ksyMYBaoSQgucBDs9KptU6IRC\nhUaJWFf2v/71r0htqlHoJIY6BEM+J/3vC8UaAuqjWE3oPgpY20TG4RkW+RZz7XUuLdTirVM7pwGV\nMpeD/gQ1cGTqRhgE5yyjSD7HzxBAPjFTRPqGCuHQQRVEa3fQ7M1k+rMpTq8UIgp2QQnkEzPFL5Ri\nzPXVzpSkc6QvgygiWt5UknEwokXNzo6c7l4oh35iJniXJTAQUesomqVuqlv97wfHMaRndVEs7DP3\naCitwEGxnAPIBq4S8omZ0FEUHcgdUTKmyVcXxaYnaRQLHIO/zo9+YmaMUWsPyYzSVXmIusFfgZdE\nTgqkKghtRB+XOtOzwhih2kL1LHIWOgNJ1UM+MdNKyQEEQz4n/e+L7gMEXaDYhiN2GRFErvcDBKOf\nmAN/Uvt6yQVcK2TMl/73g8ogtahB+tYB2cCJoVtD1EE+MVNEuk4SnPMLVEWxE4vRrM9R8Ix+YDpO\nioWvKPKJmeaobKLnLsaCB68GvdSzM30qug80WsjUjseA2npCqH+YRJBh4Xg8P/qJmeBJIJrqpP4P\nMN0HCLpAsZ5QPPuddmb0K9kdUBb9xEzzi6V7RNXd1CcysBz3mFVGumeSbODEnFVDiJxJ1EQ+MVNE\n+uAPaSKT3hdQAtGLzro5c+jET/FGXogzu0B6JyKPfGKmeG1OMeYQhIaA6T7AKETxPBtya5nELhAI\n8RyCi1f/t8PURz8xM4IdlZSX3wlKyYGS1/ueEBrLEx2IFjWha80Q5AJm1C6A1Ec/MeNrVRe5AseR\nrzJyNYQuum1NqnGrhXxiDqBVP8msKndudVNyEtkT+kVOCZVaEYziIEFa0Z4L6dGCCiGfmCl+oRRj\nrhWS4fS/LzjmVUa0vEMmsyNUbQiFWovQRAiaoJ+YaQ7qI9wHRa3AyZ1nowHZB2BoHZikgj0L2cBV\nIir9ATabTaEt8zzP87zZbGaMWSwWm82q0AdFnCzLRqNRuZJRgiAIgiDYbLbAOZfneZOptuT1uyM8\nz4uiyBiz2Ww2s+K1PVJEUZRlWc8FG5YgCKIoMo4TRZFQ8IIgmEymwFJNoigaDAbGmM1mE3hdX14Y\nDAaTycQYM1vMhEqb4zir1RqInDFmNltkxgwGg853QdEIvV5vyDuKn6ocDodCWxZFURRFV42LMeZ0\nuhwmMhdhMmMej0e5klGCyWTiOK42Zr9fqqmpYYw5XS6HQ7/nL1EUA5W+2uEQ/WQSs91ulyTJ6XRq\nHUjjmM1mr9cry7LX6yVUvQVBcLvdkiQxxrw+n8fjYYw5HA6dJ2abzeaqqWGMuVwuh4NM36fZbHY6\nnTU17sBLl8vFGPP6fDqvMDabTc0IyXyd56brgycs0oO/QicY0f2e6D7AaKP/KhGWfN6XekaxwOti\npnf+VgP5xBwF66vQUjvZEJWrCzzHrDKZ2I3as9CKnFa0wc6eYETDQHSKfGKmiPB5q54o2hVo4Qi2\n3TiOEW+W4AQSFvnETDHJyZSrY70eP73vCd2iJoronZozo/dRX9QQXMoySr2eKEjMdX9SQSvaEHVz\n6REp+dOTtuo/0GhBtKDrDZ4gsB+nJ0WhEGoIud4PEIx+YtY6gKah2ahgjODk5ATPWrTJMuEGEK24\naUUbjG4NUQf5xBxA62umFOuFkNkXslNegDooLmIRHcs+Eipw1ZBPzLRScgDlFkVdD/aZH/S+J3qP\nL+pQvcd8OmhcwKni7AtlihVGUfQTc9CfoAKij3vq/vohekRHSZPYizPjJ7SOo/Gw7OP5kU/MFJEe\nlV0LRxREk9r6TKhiR8FphBG5BlIZ+cRMZWxwMFrRhggZCKr/fTnTp6L7QKMF0buG5FZnIQ3lfH70\nE7PWATSBzGS6Y5HwHDOcn/6rxPkRqjB0LyaCn7okPeZGIfQT8+nlzfHFqkqm01dB9z4cXeQKO+Tp\nfMYYiVFgdM97VONWC/nETBHpJEE6eFABaojKSBc45dgVRD4xE/1e6fbdnLnHXPtSy2AaQv8RRhmZ\nYPUOGvlFqcIQCjXE2VNyQij6iZlIh2otQqGGFTqXnu47/PBAHVwQ0aPyzPzeGofRBEGjR3EvMgzy\niZko6tWQevygKLrVI+j5WgIopmRoCPKJ+cwFFxn0rw3PnrJH93tDZYayqEGxoM+KmdwTE9TiZWd3\nvOHQrI98YiZ3FJHrew9xpvdMpjJPL1Kyyig+x1zXs0qgRtehFW0wcjVEZWLzN+Hz+d54443q6urM\nzMzx48c3f4ONQu4LphbvBei//HGPGS6IbPXgGIVjsL660XbEGyoKiUCL+ZdffklPT3/mmWeKi4uP\nHDnS/A22BJQvdYndOwCV0V72USa8yDFRKOr6IpCYCwoKsrKyGGNZWVkFBQXN32CjEFwemFCwYQTd\nHKIxnBKX5CqjWNJEqwfd3qCg5y0phq+4CHRlO53O5ORkxlhSUlJ1dXXgzbfffrusrCwmJub+++9v\n/kcE23SkcvamIsYYx3E8z+8+XskY+++G4iSrMbIfpBBJlhljPx6sevLbw1rH0ggcx3EcJ0lSIP5q\njzQ3t5Qx9s7mE5/nVWgd3TlxHJdbXMUY+/faIpsxArVdHTzPU2x3chwny3Kl27/9hItQ9eZ53idJ\ngZ93l7iOObyMsae+PyLyuh6/wnHc/jInY+ztTSeW7jmldTgNJQhH/X7/tuLKwMv3t5T4ZPZrUbXO\nK0ygbjPGOiZZJ1/WLrIb93g8oR/X/IP/ww8/7NGjR//+/T/77LPU1NQ//vGPjLGlS5dWVlZardab\nbrqpmdsPseekY9WeEsYYx3GiKHq9XoHn/BKlU5jRIHq8Pq2jaBye53me9/l8As/JMhN4zuv//+zd\nZ0AU19oH8DOzld2lLkWpghSpNqxRo8ZekmhUbLHFxBjNTUxvmmp8E1NujLkmxkSNDTVGxUQTsWMH\nIyJKFRFBpLuwLGx/P6yXSxARcHZndvf/+wTDMPOcObv77MycOY+B+0fe9H2CIkaOx9kEn883Go16\nvZ7tQNqGx+MZDAaaIlZ3tA0GA0WMhNyNnPsvbEIIj8fT6/VWEWpjQqFQq9UajUYeTRFC9AajVTTB\ndLQJIT7O4rgYL2Y3rtPpnJ2dGy9h4BwiJCQkPz+/V69eBQUF/fv3Ny2cMGGC6Yfy8vKH30VjATJ6\nYawnIYTP5zs6OlZVVTG7fQuQSqW1tbVsR9E2IpFILBYrFNw9OW4Wn8/n8XhqtZrtQNpGJpMZDAaV\nSsV2IG0jFou1Wq3VfZ9wcnJSq9VW9yKxxo8RQohcLq+qqjL89xKFtWh8tOvq6sy9OwbuMfft27eo\nqGjlypWenp5+fn4Pv0EAAAC7xcAZM5/Pf/nllx9+OwAAAGD9E4wAAADYECRmAAAADkFiBgAA4BAk\nZgAAAA5h4DlmtmRnZ//73//+z3/+w3YgduH06dP79+//5JNP2A7ELqxZs8bDw2PSpElsB2IXPvnk\nk/79+w8dOpTtQOzC5MmTf/jhBzc3N7YD4TSrmQvpXmq1+vbt22xHYS/q6+sZfyQd7ufOnTsikYjt\nKOxFZWWl1T0ybr2Kioqs7kl3y7PiS9kikahDhw5sR2EvxGKxaeJVsAAXFxcnJye2o7AXbm5uEomE\n7SjshY+PD4/HYzsKrrPiS9kAAAC2x4rPmAEAAGwP1+8xq1SqFStW6HQ6qVT6xhtv0DS9atUqpVLp\n7+8/Z84cnU7X+FeVSvV///d/er3ew8PjpZdeoihOF4fhoJaPtmmdTz755LXXXhOLxU0OPptxW6c2\nHe0mKwuF1lFLjTvadLRNv166dOnIkSNLlixhLWir1aajbTQaf/zxx9LSUicnpxdffBGf24QQ3gcf\nfMB2DC05ePCgu7v7iy++WFRUVF5efvv2baPRuGjRogMHDgQGBqanpzf+NSUlRS6XL168+MyZM3K5\nXC6Xsx2+lWn5aNM0/e6776alpU2ePJnP558+fbrxX3FPtK3adLSbrGyqgA6t16ajTQhRqVTfffed\nVCrt168f27FbnzYd7ZSUlJqamsWLF2s0GpFIJJPJ2A6ffVy/lB0SEjJ48GBCiEwmEwgEOTk5po+k\noKCgnJycJr96eHgUFBRUVVWVl5e7uLiwG7k1avloy2Syzz77LCYmxrRyk7+yF7W1atPRbrIya0Fb\nrTYdbULIxo0b8bhau7XpaF+9elWv169ataqurg7jeU24nphDQ0PlcnlycvLp06d79eqlUqlMY4Pl\ncrlSqWzya3BwcF5e3ueff87n811dXdmO3fq0fLQJITRNN1xouvev0CZtOtpNVmYzbuvUpqOdnJzs\n5eXl7+/PZsTWrE1HW6lU3r59e+rUqefOnbt48SKbcXMG1xMzIWTnzp0nT5587733JBKJRCKpqKgg\nhFRUVMhksia/7tixY9asWStWrOjateuxY8dYjts6tXC0m6zZ8l+hNVp/tJusbPFIbUHrj/aePXuu\nXLny3Xffpaen//XXX2wEa/Vaf7SlUumwYcM8PT0HDhx47do1NoLlHK4n5jNnziiVyiVLlkilUkJI\nSEhIfn4+IaSgoCA4OLjJr1qt1vT0l8Fg0Ol0bMZtnVo+2k1Wbvmv8EBtOtpNVoa2atPRXr58+dKl\nSxctWhQVFTVy5EjLR2vt2nS0g4ODc3NzCSHXr1/38vKyeLBcxPXBX3/88Ud6evrx48cPHTokEon6\n9et3+PDhpKQkT0/PQYMGeXt7N/41ICBg48aNx48fVygUM2bMMA3igNZr+Wib1jl69OigQYP4fH6T\ng89u5NaoTUe7ycoBAQHsBm912nS0Tb/W1tampaVh8Fc7tPWTZP/+/fv37zcajVOmTKFprp8uWgAm\nGAEAAOAQfDcBAADgECRmAAAADkFiBgAA4BAkZgAAAA5BYgYAAOAQJGYAe/HZZ5998803bEcBAA+A\nxAwAAMAhSMwAtkyr1S5cuLBTp059+vRJS0sjhFRXV48fP97Pzy8kJOTIkSNsBwgATSExA9iyn376\nKT8/Pzs7e9++fSdPniSEbNmyxdXV9ebNm2vWrElISGA7QABoCokZwJYdP378hRdeEAqFnp6eU6ZM\nIYT0798/KSlp6dKlMpns3//+N9sBAkBTSMwAtqxxfT0ej0cI6dq168WLF318fD744IOJEyeyGh0A\nNANzZQPYsrVr1+7bt2/37t3V1dW9e/d+8cUXFQqFXq//8MMPi4uLQ0NDq6urGzI3AHAB6i8B2LK5\nc+devHgxLCzMw8Pj6aefdnV1ffzxx6dOnbpx40aBQPDtt98iKwNwDc6YAQAAOAT3mAEAADgEiRkA\nAIBDkJgBAAA4BIkZAACAQ5CYAQAAOASJGQAAgEOQmAEAADgEiRkAAIBDkJgBAAA4hOUpOWtra9kN\n4F6mif71ej3bgVgaRVF8Pl+r1bIdCAv4fL7BYDAYDGwHYmk0TdM0rdPp2A6EBQKBQKfT2eHUh3b7\nEUcIEQqFGo2G7SiaIZVKG//KcmKuq6tjN4B7yWQyg8HAwcDMjcfjicXi6upqtgNhgbOzs1qt5uY7\n1qxEIpFYLLbDVzshxMHBoba21g7zk0QioWnaDjudoiipVKpQKNgOpBlNEjMuZQMAAHAIEjMAAACH\nIDEDAABwCBIzAAAAhyAxAwAAcAgSMwAAAIcgMcNdP6UUe32Q+H1ysVZvd4/zAgBwBxIzEELIN2eK\nViYVfP1E5K4r5UN+vpx0g4uP+gEA2AOWJxgBLlh1pmjDxZI/ZnftEeg10l+8I73suT05Pbxl/zci\n0M9ZxHZ0AAD2BWfMds1oJO8dyt92uez3mZGd3cSEEIoicdEeZxd0C3ARDVp36fOkm2q93c1ZCADA\nIiRm+6U3GF/an3s8X7F7eoSP0z/OjJ3F/E+HBx6cE51cpBywNjUhs4KtIAEA7A0Ss53S6A3z92Rn\nltXtnR7RQSZsdp0QucPOqeGfDOv0/pEbT227mlWusnCQAAB2CInZHqm0hpm/ZlXV6X6bHuEmEbS8\n8sgQ19PPduvj6zhyY/o7ideVGrub9B8AwJIodque1dTUsLj3ZonFYoPBYMOFhhT1uklbLrtJ+Bsn\nR4r5//tmRtO0RCJRKpX3+8e8yro3D+Sm3VZ+MCxoaowXRVkkXIuQSCQajcYOqx/y+XyhUKhS2eO1\nEJlMplKp7LDWp1AopGm6vr6e7UAsjaIomUzGwaSj0+lcXV0bL2F5VDYHa64ZDAaj0cjBwBhRVqt5\namt6mLvkP4+HCqimzWy54QHOwvipEX9mV7598NrGC7c+H9050lN6v5Wti9FoNBgMttrpLaBp2oZf\n7Q9kn51ut692iqIIJ5POvafHLCdmDp6jmF61HAzs4RUq1JPirw7s5PzZiEDKaNDp/nGuYHpxPLDh\nw4KcBj3bdcPFkrEb057oIn93sL+bg9U/dGdKTjbZ6S3j8XhGo9EOG04IMTWcgx/T5mYwGGiatsNO\nNyVmq2g47jHbiwKF+smtV8aGyVeODKIf7jK0kEc/F9sxaX7Xep2h39rUtSnFegMeqQIAYAYSs13I\nLFON/SU9Ltpz6WB/prbZ0VH43fjgn54M2ZxaOmLj5eRCzt25AQCwRkjMtu9isfKJLVde7Of9+gBf\nxjc+IMD5yLyYuGiPaTszF+3LLavVMr4LAAC7gsRs404VVE+Jz/jwsU7PxXY00y74NPVcbMfTz3UT\n8+lHfkxddaZIgzIYAADthcRsyw7mVs36NevrMUFToz3MvS9PqeDL0UE74sL3Z1c9+lPa0bw75t4j\nAIBNQmK2Wb9dLX9hX+5PE0LGhcktttNuHWX7Z0W+3M9n4b6cGTszbyrUFts1AIBtQGK2TRv+Lnnr\n4PVtU7oMDnSx8K5pioqL9ji7oDvKYAAAtAMSsw1adabo85M3f5sW2cvHka0YXMT8T4cH7psZdSJf\nMfDH1IO5VWxFAgBgXZCYbc2qM0XrL5bsmxkV5SVhOxYS5SXZNzPqvcH+b/x1fVJ8Rk5FHdsRAQBw\nHRKz7TAVV/4ltWTP9LvFlbmAosjjXeSnn+vW20c2fMNllMEAAGgZErONaCiu/PvTUQEuogf/g2VJ\nBPQbA/2OzIvJq6zvvzZ1++UyVounAABwFxKzLWhNcWUuCHIVx8eFrxwZ9HnSzQlbr2SU2WNRIwCA\nliExW702FVfmgpEhrqee6zY0yGX85ivvJF6vVlvBnPIAABaDxGzdFPW6SduuCmhq+9QImZDHdjit\nJebT/+rnc2J+V0W9vtf3qWtTig24tA0AQAhBYrZq5Srtk1uv+LuINkwMFfEeqmAUK7wdhd+ND173\nZMim1NKRG9NTilAGAwAAidlqFSrU4zdfifVx/M/4YAHPivtxYIDzkbnRk6Pc47ZnLtqXW65CGQwA\nsGtW/IFuz0zFlceEuj18cWUuEPDo52I7nn6uKyGk3w+pa1OKdSjwDAD2ConZ+mSVM19cmQu8ZMLv\nxgfvmBq+60r5sPVpZ2/iyjYA2CMkZiuTWqx8fLO5iitzQfeOsgOzohb29p69K3PGzsxClMEAADuD\nxGxNThdUTzZzcWUuaFwGY+C6S58n3dSgDAYA2A0+g9vS6XSrVq1SKpX+/v5z5swxLVSpVCtWrNDp\ndFKp9I033hAKuTv9BccdzK1amJD7zdggS5ZxZJGrA//T4YHTYjzfOnh915Xy5cMDh3W2dKUsAADL\nY/KM+ezZs97e3suWLSsuLi4sLDQtPHr0aLdu3VasWNG5c+cTJ04wuDu7YiquvO5JixZX5oJoL+nv\nM6NeecT3pT9yZ+zMvHEHV7YBwMYxecack5MTGRlJCAkKCsrJyfGgOpZ4AAAgAElEQVT19SWEhISE\nyOVyQohMJhMI7s5LtXv37urqaolEMmbMGAYDYASfzzcYDA4ODmwH8j8/JRd9cOj6rpkxff3NeMpI\n0zRFUZxqeIM5vf0nd/P55lTB0J/T5vf2efPRTlJGZ1OhaVokEvF4VjNDC1P4fD5N09zsdHOjKEos\nFhsMBrYDsTQ+n8/Zd7pZURRFCOFgw3W6prMfMpmYVSqVu7s7IUQulyuVStPC0NBQQkhycvLp06eX\nLl1qWlhSUlJZWeno6MjBj0KKomia5k5gX57IX3Xqxp/P9IrpKDPrjkyvWu40vAknB97SYcFTu3m/\n9kdWj1VnPxwRMqM7YzfaudbpFmP6NmaHDTcxNZ/tKCzNbjudsx9xen3TgntMJmaJRFJRUREUFFRR\nUeHp6dmwfOfOnYWFhe+9955EcrdC8PPPP2/6oby8nMEAGCGTyQwGg0rFifoKpuLKCTMigxxJw3cd\nM+HxeAKBwNx7eUgdxWTLUyF/5VS9nZizIfnmiuGdungwUHba2dm5rq5Oo9E8/Kasi0gkEovFHO90\nMxEKhSqV6t7PRJsnkUhomrbDTqcoSiQSWUXDmbzHHBISkp+fTwgpKCgIDg42LTxz5oxSqVyyZIlU\nKmVwXzaPm8WVOWJkiOupZ7v183Mc/Uv6O4nXa9R299kKADaMMjJXPECn061evVqr1Xp6es6ePTs7\nO/vgwYN8Pj8jI8N0WX/s2LEDBw5s/C84Y26W3mBccuDaxeLanVPDLVbGkcfjOTs7V1ZWWmZ3jMi/\nU//x0YJzhTVvDPSd2dWz3ZOg2fkZs0KhYDsQFri5uSkUCpwx2w+KouRyOQeTDiHEdBe4AZOJuR04\neIxYT8wavWHB3pyiak38lC6WLONojYnZ5ES+4p3EfImAXjGiU09vx3ZsAYmZ7UBYgMTMdiCWZkWJ\nGROMcEudtRVX5oJBnZyPzoueFOU+JT5z0b7cChUKPAOAFUNi5hBFvW5SvPUVV+YCUxmMU6YyGGsv\nrk0p1qMMBgBYJyRmrjAVV/Z1stbiylzQQSb8bnzwxqfCtqSWDtuQdq4QZTAAwPogMXNCiVIzYevV\nWB/HNY9bd3FlLujn53R4XszcHh1m78p8Znd2UTUmCwMAa4IcwL4ChXrspvQRwa6fj7CF4spcwKep\nWd28zjzX3UsmQBkMALAuSMwsMxVXfiLcfelgfyRlZpnKYOyZHnksXzFoXerhvDtsRwQA8GBIzGwy\nFVde3Nd76WB/tmOxWTEdpH/MjFrS3/fF33Nn7MwsQIFnAOA2JGbWmIorfzC004JetlxcmQsoisRF\ne5x5rlsXD8mQn9I+T7qpxpVtAOAqJGZ2HMytevrXrK/HdJ4W48F2LPbCWcxfOtj/r9lRKbeUvdf8\nvf1yGdsRAQA0A4mZBbv/V1zZje1Y7E6w3GFHXPjnI4M+S7r51LarWeWcqFYCANAAidnSNl4sefPg\n9W1TugwJMmNxZWiZqQxGH1/HkRvT30m8Xl2PycIAgCuQmC3q27NFnyXd3D09spdPe6Z0BgY5COg3\nBvodmRdzvao+5quk+LQSA6vzxgMAmCAxW87yYwU//12yb2ZUpCcDJYSBEUGu4m1Twr+bEPllUsHI\njelnblazHREA2Ds+2wHYBaORLD2cfyC7cs/0yAAXEdvhQFNjwz0H+cs2pBQ+szs7wlP6yWMBXTzw\n5QkA2IEzZrPTG4wv77927Lrij1lRyMqcZZosLPn57r19ZKN/SX/1QB6qVAEAK5CYzUujNzy7Jzuj\nTJUwI6KDTMh2OPAAUiHvjYF+J5/tWq8z9Ft7cdWZIszlCQAWhsRsRnVaw8ydmZUormxtfJxE340P\n3h4Xnnitqs8PF7dfLsOwMACwGCRmc7lbXJlHx8eFo7iyNereUbZvZtT/DQ/84mTh6F/Sz6OIJABY\nBBKzWTQurizm4yBbsZEhrqef6zoxUj5jZ+Yzu7Mx1TYAmBvLo7J5PM6dSlIURVHUwwRWotRM3Hq1\nr7/TylGdraiMo6nJHOwRC6Aoiqbp+7Wdx+Mt7OM7NabDqjOFg9ZdmtnN6+1H/Z1EtvBEA03TD/lq\nt2r22fCH/4izUhRFEU52usFgaLKEMrJ690ypVLK492aJRCKj0ajRaNr37zfu1I/fkPpkpMeHwzpb\nT1ImhBCaph0cHGpra9kOhAUODg5arVane/Aw7NyKuo8O5524XvXGowHP9fbl01bVx/fg8/kCgaCu\nro7tQFgglUrr6uru/Uy0eUKhkKIotdrurv1QFCWVSjmYdHQ6nYvLPyaCZDkxl5eXs7j3ZslkMoPB\noFK1ZwrlrHLVpG0ZU6I9rLGMI4/Hc3Z2rqysZDsQFjg7O9fV1bX+21jSDcX7h2/U6wxvDfJ7vIvc\nrLGZlUgkEovFCoWC7UBY4ObmplAo9Ho924FYmkQioWmag/nJ3CiKksvlHEw6hBB3d/fGv+L2J2NS\ni5VPbEFxZbswMMD50Nzotwb5fXDkxqT4jCulqIQBAIxBYmaGqbjy+0NQXNle0BT1eBf5qWe7DQpw\nenzzlUX7ckuU7bz9AQDQGBIzAxKvobiynXIQ0P/q53Pqua5iPt1vberHxwpqNXZ3aRQAmIXE/LB2\nXy1/fi+KK9u1DjLhl6ODDsyKulpa229t6i+pJXoDZiQBgHZqPjGXlZVZOA4rheLK0CDMXbJtSvi3\nYzuvS7k9cuPl0wUoVAUA7dF8Yo6NjZ04cWJCQoJWq7VwQFbkx5TbnyXd/G1aZG9fFFeGux4NdDky\nL2ZWd6/5e7InxWdklmFcGAC0TfOJOS8vb8GCBTt27AgNDX3llVcuXbpk4bC4b9WZom/OFP02LSLK\nC/UB4R9QqAoAHkbziZnH440cOfK77757/fXX161bN3jw4J49e54+fdrCwXGT0UjeO5S/8WLJH09H\noWov3A8KVQFA+zSfmLdu3frEE09ER0enp6f//vvvFRUV69atmzVrloWD4yAUV4Y2QaEqAGir5uf7\nPXLkyOLFi4cOHdowrWj37t0//fRTCwbGRRq94fm9OTerNQkzUMYR2sBUqOqvnKr3DuWv/7vko8cC\nMC4BAO6n6ZSc06ZNa3a9bdu2mWP3HJwd7X5TctZpDbN3Zar1xi2Tu9hkGUdMydnuCdJbT6s3rL9Y\nsjKpcFAn5/eHBvg7s3zRBVNyYkpO+2FFU3I2PWOeP3++BYOxGtVq3bQdmS5i/i+TUMYR2k/Ao5+L\n7Tg50mP1uVuD1l2aHuPx1iA/2yhUBQBMafqJ8NhjjxFC9Hp949pYZ8+etWhQHFOu0k6JzwiRO6we\n11nAQ1aGh+XqwF862H96jOenxwt6rbn46gDfeT06WHuhKgBgSvNpZvr06aYSeOXl5c8+++zUqVMt\nGxWHmIor9/CWrXk8GFkZGNTZTfzThNB1E0Lj08oGrbuUkFnBdkQAwAnNZ5rIyMinnnpqzZo1MTEx\nnp6eV69etXBYHFGgUI/bdGV4sOvKkUG0dVVXBiuBQlUA0ETzN7eWLVv2xRdfvPnmm+fOnQsPD7dw\nTByRVa6aHJ8xOcoqiyuDFTEVqhre2fXHlOLHN18ZFeK6bIi/l0zIdlwAwI6mifn1119v+NnT03PR\nokU9e/YkhKxcudKicbEttVg5dUfGkv6+KOMIlmEqVDUl2mNlUmG/talze3R4pb+P1BbH/wNAy5om\n5qioqGZ/titJ16umxmd89FgnlHEECzMVqnquV4cPjtzotzb1tQG+M2I8eRgXBmBPmj7H3GDLli3J\nyclffPFFQkLCxIkTzbR7Dj5Slq80PrY25dtxnceE2lcZRzzHbIHnmNvkYG7VB0duSAT0R4916u/v\nZI5d4DlmPMdsP6z4OWaT999/Pzk5OT8/n6Ko77777ty5c5999plFwmNfpJfj4ediO8lwjgIsGxHs\nOjTIZePFknm7s/r6OS0bEhDkKmY7KAAwu+bPmMPCwi5cuDBhwoTExEStVhsSEpKfn//Abel0ulWr\nVimVSn9//zlz5rSwsAEHv7zcb+Yvm4czZq6dMTeo1ei/O3drzfniiRHubz/q587cdLA4Y8YZs/2w\nojPm5h+X0mg0DZWY6+vrHRwcWrPps2fPent7L1u2rLi4uLCwsIWFANB6jQtV9V+bikJVALat+UvZ\nixYtGjFiRFVV1cqVK7ds2bJw4cLWbCsnJycyMpIQEhQUlJOT4+vre7+Fp0+fVqlUIpGoW7dujDWF\nITwej6IokcjuKkfRNG2fDSeE0DQtEAgobj+qHuQhWjcp8u9bNe/8lbv+YsnSoUFTY7weMmQ+n0/T\ntH12OkVRQqHQYDCwHYil8Xg8++x00xucgw03TefVWPOJ+bXXXuvRo8exY8f0ev26detiY2Nbs3WV\nSmU6H5fL5Q3XSZpdmJiYWFJS4uLi0rdv3/a1xHxMr1qatrtJvkyvWrHYHu9i0jQtFAr5fCuYs7p/\nkPjYQo8/Mspe3ZfxU0rx52PD+ndybffWTC91++x009fQ+41+tWGmr+D22emEkx9xarW6yZL7fhIV\nFxdXV1cvW7YsISGhlYlZIpFUVFQEBQVVVFR4enq2sPD99983/cDBy/12fo/ZPm83cvwe870GeAtP\nzo9ef7HkyQ0XHqZQlZ3fY66pqcE9ZvthusfMzVe7TCZr/Gvz54Xvv//+li1bDh48aBqV/eabb7Zm\n0w1jxAoKCoKDg1tYCAAPyVSo6vzz3Tu5igetu/RO4vVqddMLYgBgjZpPzPHx8Tt27PDx8eHxeH/+\n+ef27dtbs62+ffsWFRWtXLnS09PTz88vOzt79erVTRYyGjyAvTMVqjo8N6ZEqe215uLalGKdwe6u\nzQLYmOYvZbdvVDafz3/55Zcbfg0NDQ0NDSWENF4IAIwzFapKuqF4//CNDX+XvDXI7/EucraDAoB2\nav6M2TQq+/r16ytXrhw4cGArR2UDAIsGBjgfnhtjKlT11LarKFQFYKWYHJUNAOyiKIJCVQDWrvnE\n/PTTT48ePfrFF1/08EAVBwArg0JVAFat+UvZw4YNO3z48COPPNK7d+9ly5adPn3awmEBwEMyFao6\nMCvqamltv7Wpv6SW6DEuDMAa3Le6FCGkvLw8Pj7+888/LywsNNP8OHiOmTswV7YVPcfcVsev31l6\n+IaQRzUpVGXnzzFjrmy7YvVzZb/wwgvR0dFDhw7Nysr6+uuvS0pKLBIbAJjFo4EuR+bFzOruNX9P\n9qT4jMwyu/veCWBFmk/Mly5dqq+vHzBgQL9+/Xr37o07zQDWjk9Ts7p5JT/fvbePbPQv6a8eyCtX\nadkOCgCa0XxiPnXq1OXLl6dNm5aXl/fII48EBARYOCwAMIcmhaq+Plmg1tldFQcAjmt+VPaFCxeO\nHz9+7Nix1NTUnj17jhw50sJhAYD5+DiJvhsfnFJU8/7RghXH8sX8u1/QZSIejyKEEIpQzuK7o7iF\nfFoiuPuzREAL6LsFrZzFPIpQhBABj2oY8u3Ap4W8uys4ifimWjA8inIU3V1BxKPFfKphd6Y1KEKc\nxXc/i4Q8ykFwNx6pgBbw7K6cTOvV6wz1zX2vqlE3M85PZzAqNXpCiFisD3aXYIw+lzU/+Cs2Nnbk\nyJEjR47s37+/WUvucPA+PAZ/sR0IC2x+8Nf9iESiCg1VUXV38Ned+ruzbWv1hlrN3VFRdTpDQ/nn\narXeYDQSQvQGY4367gpqvbEhPSg1ep3eSAgxGI3V/11BozfW/XeFWo1eqzc02Z3OQBp2p9Lqm602\n7fLfzM2nKanwbraWCHj//B5AEUJoYnQU3V1ZzKcbvnY4ing80woU5SikJRJJfX29aVirUqO/d58G\no7G6vpmhYWq9oU7bbDrUGUjTMpx6g7GmuTnM63XGel0zG6/RGAz3JNWGnNpKIh7lIGgm8zqKeDRF\nCEVrdIa1T4T09XNs/TZtgBUN/mo+6aakpFgkGABgmY+TSGa8W5kqgHCrVG21+u7M3wYjafgeUKfV\nq/+bRWvUOtO5ocFIav6butQ6Q6PvAYaG7wGKhm8SOn2lSiuqIxqNxnRmIuTTEkHTU3OaonycRPx7\nztgp6n/n940JaUrS3MPiMiGPd0/ZbJqmnETNbYRHSZrLqTIh795rBzRFmt1IyyQSyfa0khk7M5f0\n91nUx5vbVcjtlBUUoAUA+9Q467g5MPxhZbePSxFCpnXr2MWV/8zu7LOF1avHBbs09z0DWIT7NwAA\ndidE7nBgVpRUwBvyc9qFWzVshwP/gMQMAGCPpELeD0+EvDXQL2575tqUYrbDgf/BFQwAAPsVF+0R\n7iGZtzvr4i3ll6M733uvHSwPfQAAYNdiOkiPzIup1xmHrU/LwKxwHIDEDABg75xE/J8nhM7p4fX4\n5iu/XeXiA0V2BZeyAQCAUBR5LrZjtJf02T05h6/d+XJ0kPjeZ8XAInDcAQDgrn5+Tsef6VpSqx27\nKf3GHTXb4dgpJGYAAPgfuYS/fUqXkcGuw9an/Z5VwXY49qileswWUFdXx+LemyUQCIxGo07XzCx6\nto2maaFQWF9fz3YgLBCJRDqdzg7nmuDxeHw+X622xxMjsVisVqvZ/QBkBZ/PpyhKq31wbbE/s8vn\n/3platcOK0aF2MCk5RRFicViDiYdrVbr5OTUeAnLiZmD05Zirmy2A2GBPc+VLRaLFQoF24GwwG5n\n/pJIJDRNK5XK1qxcVK2evydHQFM/PhniJROaOzazsqK5sq3+SxAAAJiJj5No74zIKC/J4J/Sjl+/\nw3Y49gKJGQAA7kvIoz4dHvjFqKBn9+Z8nnTTYH8X/y0PiRkAAB5gbJjb/qejfs+qnLkzq6rO7obg\nWBgSMwAAPFiw3OHgnGhPmWDIz2kpRah7YUZIzAAA0CpiPv3vMZ3fHuQ3dQfqXpgREjMAALRBXLTH\n7ukRPybfnvtbdrUal7WZh8QMAABtE+0lPTIvhiLGkRvTUfeCcUjMAADQZo4i3k8Twub28Bq7KX1r\nWinb4dgUFLEAAID2MNW9iPGSPbsn+9SNatS9YAoOIgAAtF9fP8djz3QtU2nH/JKef8ce5/RlHBIz\nAAA8FLmEv21yl1EhrsPWX/49yx6n9WUWLmUDAMDD4tHUGwP9+vo5PZ+Qc7pA8eHQABuoe8EWHDgA\nAGDGoE7OiXOiU2/XTtx29bbS7qrCMAWJGQAAGOPjJEqYEdnb12nwT5eOoe5FuyAxAwAAk/g0tXSw\n/1ejOy9IyEXdi3ZAYgYAAOaNCXXb/3TUH1mVk+MzylVatsOxJkjMAABgFp3dxAfnxvg7i4atv5xc\niLoXrYXEDAAA5iLiUV+P6fz2IL+4HRmrzhSxHY51QGIGAADziov2SJgRtflS6ZzfslD34oGQmAEA\nwOyivCSH58bwKGrEhstXUfeiRUxOMKLT6VatWqVUKv39/efMmWNaqFKpVqxYodPppFLpG2+8IRQK\nGdwjAABYC0cRb92ToT9eKB63Kf2jxzrN7OrJdkQcxeQZ89mzZ729vZctW1ZcXFxYWGhaePTo0W7d\nuq1YsaJz584nTpxgcHcAAGBdTHUvdk2L+OpU4aJ9uXVaA9sRcRGTZ8w5OTmRkZGEkKCgoJycHF9f\nX0JISEiIXC4nhMhkMoFAYFqzpKREp9PxeDyRSMRgAIygKIqiKB6Px3YglmZqsh02nBBCURRN03bY\ndpqm7fPVbmKfDefCR1ysr/ORZ7ot2JM1dnP6+oldgtwcLLBTiqIIJzvdYGj67YTJxKxSqdzd3Qkh\ncrlcqVSaFoaGhhJCkpOTT58+vXTpUtPC119/vbCw0N3dffv27QwGwAiKooxGo1gsZjsQFlAU5eLi\nwnYULKAoSiqVsh0FO+y50x0dHdmOgh0URbF+V9HFhSQu9Pj8aO6w9Wk/TIqe3NXbUvvl3Ku9rq6u\nyRIGEvOhQ4euXLnSt29fiURSUVERFBRUUVHh6fm/mwc7d+4sLCx87733JBKJackvv/xi+qG8vPzh\nA2CWTCYzGAwqld2NTeDxeM7OzpWV9lgZxtnZua6uTqOxu6l9RSKRWCxWKBRsB8ICNzc3hUKh1+vZ\nDsTSJBIJTdMN507smt/VNcwl5PnfLh/KuGXuuhcURcnl8oqKCvPtot0akqMJA0dh2LBhL730Up8+\nfUJCQvLz8wkhBQUFwcHBpr+eOXNGqVQuWbLEbs9IAADgfgYGOCfOjUktrh276cpNhZrtcDiBya8n\nffv2LSoqWrlypaenp5+fX3Z29urVqy9dupSamvrWW2+99dZbSUlJDO4OAABsgLejMGFm5MBOzsM3\npB29bo/Xb5pg8h4zn89/+eWXG34NDQ013WAGAABoganuRay3bMHe7Ke7eb37qB9NUWwHxRpMMAIA\nAJwwOtTtz9nRh69VTdqWUVZrv3UvkJgBAIArglzFf82JCXQVD1ufllxkp3UvkJgBAIBDRDzqy9FB\n7zzqH7c9Y9WZIjus5ozEDAAAnBMX7fHnrOgd6eWzf8tS1NtX3QskZgAA4KJQd4c/Z0cJeXZX9wKJ\nGQAAOEom5K17MnRRX+9xm9I3pZawHY6FMPm4FAAAAONmdfOK8ZLO25199mbNF6OCHAQ2fkpp480D\nAAAb0K2j7NDcmHKVdviGy9nlTSeXtjFIzAAAYAXcHPjxU8KnRLmP2ZS+N4OLU14zBZeyAQDAOlAU\n+Vc/nx7esgV7c07kK1aM6CQ0Z90LtthgkwAAwIYNCHA+NDcms1w1zkbrXiAxAwCAlenoKNw7I3Jg\nJ+dh69OO5N1hOxyGITEDAID1MdW9+GZs5+cTcj4+VqA32M4MYUjMAABgrUaFuB2eG5OUr5gUn1Fq\nK3UvkJgBAMCK+TmL9j0dFe7hMHx92vlCW6h7gcQMAADWTcSjPh0e+O5g/2k7Mm2g7gUSMwAA2IIp\nUR4HZkXtSC+ftcu6614gMQMAgI0w1b0Q86khP6ddLFayHU47ITEDAIDtkAl5Pz4Z+nJ/n6e2XV2b\nUsx2OO2Bmb8AAMDWmOpePLM7+1Jx7cpRQRKrqntBGVm9S15Xx7m5yAUCgdFo1Oms+P5E+9A0LRQK\n6+vr2Q6EBSKRSKfT6fV6tgOxNB6Px+fz1WobnDvpgcRisVqtZvcDkBV8Pp+iKK3WRp4salmlSjtv\nZ3qBon7L1JgIL5lYLOZg0tFqtU5OTo2XsHzGXFtby24A95LJZAaDQaWyo6LcJjweTyAQcLBHLIDP\n59fX12s0GrYDsTSRSERRlH12ukgkqqurs8NvYxKJhKZpO+l0ESGbnwr99mzR0LXJX4wKmj8wzCoa\njkvZAABgs0x1L7p1lD2fkFOh5T0T48J2RA+GxAwAADZuUCfno890pcQyQqzgxo013Q8HAABonw4y\nYYSXI9tRtAoSMwAAAIcgMQMAAHAIEjMAAACHIDEDAABwCBIzAAAAhyAxAwAAcAjLzzG7u7uzG8C9\n1qxZ4+HhMWnSJLYDsbSCgoJXXnll/fr1bAfCgnfffXfcuHH9+vVjOxBLO3369IEDBz7++GO2A2HB\n7Nmzly9f7uvry3YglrZjx46qqqoFCxawHYilKZXKJ554Ys+ePRRFsR3LA2CCkabu3LkjEonYjoIF\nWq329u3bbEfBjvLycg7OoGsBdXV15eXlbEfBjuLiYjuZL7qJ6upqhULBdhQsMBgMRUVFbEfRKkjM\nTbm4uDSZT9xOCASCDh06sB0FO9zd3R0cHNiOggUODg4cvGplGR07dhQIBGxHwQInJyc7nCGcEELT\ntI+PD9tRtArL1aUAAACgMQz+AgAA4BB7uZRtNBq///77wsJCtVrdt2/f1o/tOnLkiEAgGDhwoFnD\nM5+kpKQffvjhl19+oWmaELJmzZqqqqp33nmnNf9r1W1fvXp1SUnJ9evXfX19BQLBc8895+fn1/p/\nt4q2f/LJJ9OmTevcufPBgweTkpJMY7gWLlz45ZdfSiSSe9dvd6O4fzSadHdgYGBISEj7AuZ+Y1uW\nnZ396aefNrza33zzTZlMRgjZs2ePWCweNWqUabm1N5M8xKd6Exw8FPaSmFNSUgghy5cvJ4S8++67\nAwYMsJ/7qUKhMCMjIzIy0mg05uXlubq6sh2RJSxevJgQ8vHHH7/wwgtyuZztcMwiIiIiOzu7c+fO\n6enpVVVVWq1Wo9EIBIJms7Jta9LdiYmJD/yXuro6Wx1YEBsbazogDerq6p588km24jGTB36qX7p0\nKTc396mnnrr3fzne+/aSmF1cXHJycjIyMrp06WLqyH379nXs2DE2Nnbbtm3dunUrLCzMy8sTCAQl\nJSWvvfZaRUXFt99+K5FINBrNsGHDKisrv//+e0KISCRasmTJypUr58+fL5fLly5d+vbbb3P8c7BP\nnz5nz56NjIy8du1acHBwRUWFQqFYtWoVRVEymexf//rX4cOHbbXtJk362t/f/+uvv9ZqtXK5fPHi\nxbm5ubt27dLr9T179uzevbsVtT0iIuLPP/8cPXp0eXl5v379MjMzDQZDeHh4bW1t4waWlpY2blRi\nYmLj7tZoNLZxNJpISko6fvy4Tqd77733Dhw40OTN/vfff4vF4tGjR9tGY1uQmJhoamxERIRYLA4J\nCbGZZt77qd6kOYcOHbp161Z5eXnPnj3v7f24uDjOHgreBx98YMn9sUUulwcEBBw5cmTTpk2lpaWR\nkZG5ubmOjo7e3t7p6ekdOnSorq5WqVRz584tLCwkhOzfv3/UqFFxcXHJycl+fn58Pj8sLGzChAmn\nTp0KCQkRiUQFBQVyuTw1NXXo0KFsN64lBQUFIpEoMzNz8ODBBw4c6NGjR05OTmlpaXR09KxZsy5f\nvmwwGNRqtU22nRBy4sSJXr163bx5s3Ffnzx5Mioqavbs2Tdv3iwvL8/IyOjWrdu0adNu3bp15MgR\nK2q7i4vLjh07unbtWlhY2KdPn7S0NIVCERAQkJqa2riBTRql0+kad/eZM2ds42iQ/3a3RCLJy8tT\nq9WvvPJKQUGBQCC4c+dOkzd7XV3dokWLDhw4YL2NvZ+KiiCjBm4AACAASURBVIrt27dfuHDh6NGj\npaWlEonE1Ni8vDw+n3/48GHbaCZp7lP99u3bjZvj6ekplUpdXFya7f2ff/6Zs4fCXs6YS0pKOnXq\ntGjRovr6+uXLl58/f77hTwaDwfRDUFAQIcTBwUGv15eUlISHhxNCwsLCCCEuLi7btm07evRoQUGB\n0WiMjY1dtWqVwWB45JFH2GhNmwUGBubn5+fl5Y0fP54QcuvWLdNLLSws7NatW1Kp1Ibb3pipr4uL\ni/Py8i5dukQI6dSp08iRIzdt2vTnn3+OGjXKutrO5/MdHBxMmTUsLGzHjh0SiWTQoEGXLl1q3MAm\njSL/fKnbzNFowhRzk0eDGt7soaGhhBCbaWwTjS9lJyYmmhprYkvNvPdTPSwsrHFzmqzfpPe5fCjs\nZVT2+fPnDx06RAgRi8WdO3fWarU0TSuVSkJIZmamaZ3G08F06NAhKyuLEJKTk0MI2bt37+DBgxcu\nXOjq6mo0GmUymU6nO3XqVJ8+fVhoTNv17dt37969Xl5epjZ6eXnl5uYSQnJyckx3ZWy47YSQJn3t\n7e3ds2fPxYsX9+jRw/Q9etasWUuXLt25c6fVtT08PHzfvn1RUVFCoZCm6dLSUk9PzyYNbNIo8s/u\ntqWj0RiPx2v4+d43O5/PJ4TYTGNbZmqsiS01895P9SbNIYQYjcb79T6XD4W9XMoODAw8cODA/v37\n//rrL5FINGnSJLlcvmXLlnPnzrm6unbp0uXOnTt8Pj8gIODatWteXl49e/bcsGFDcnKySCQKDAzs\n1KnT3r17U1JSXFxcSktLo6KiampqFArF4MGD2W7ZAxQUFJiGLH7//feTJk1ydXU9f/78zJkzt2/f\nfvr0aYPBMHHixOvXr9tk28l/r236+Pg07usePXps37795MmTSqVyyJAhlZWV8fHxFy5c6NKly7hx\n46yr7Vqt9tKlS3FxcYSQ0tJSvV7/yCOPdOrUqXEDAwICGjeqvr6+cXfHxsbazNFofCnb1MbMzExX\nV9fw8PBm3+xW3dj7qaiouHbtWu/evU2/NhwK0w8DBw60jWaS5j7VRSJR4+aEh4f/+uuvgwYNSkhI\nuLf3m7wvOHUoMMFIO+3evdvT09MqLvgwDm23z7bfy66Ohp001k6a2RosHgp7uZTNrKNHj6anp/ft\n25ftQFiAtttn2+9lV0fDThprJ81sDXYPBc6YAQAAOARnzAAAAByCxAwAAMAhSMwAAAAcgsQMYAXU\najVFUR07duzQoYOPj8/8+fNNj2Y+vLlz57Z79v8mNm7c+PrrrzOyKQB7hsQMYDWKi4tv376dm5sr\nEonmzJnz8BtUqVSJiYm//vrrw28KAJiCxAxgZRwcHL766qukpKSioiKj0fjiiy/6+PhERka+/PLL\nRqNx/vz5W7duJYTo9fqAgICysrLG//vBBx8EBweHhIR89NFHhJDFixdXVFTMmzevYYXY2Ni///6b\nENK/f/8XXniBELJx48ZZs2YRQr788sugoKAuXbo0zEp07xKTDz/8MC4urvFcmADQevYyVzaALRGJ\nRBEREVlZWVVVVTk5Ofn5+YSQyMjIhQsXxsXFrV69evr06YcOHerZs6eHh0fDf5nmSEpLSyOEDBky\npE+fPt9+++3Ro0d//vnnhnVGjhx57NixiIiIsrKypKQkQsiJEydGjRp15MiR+Pj4lJQUgUAQFxe3\nZcuWjh07Nlli2sKXX375999/79q1q/GkmADQejhjBrBWFEVFRUVt2rQpMTFx+fLlt2/frq+vHzp0\n6MWLFxUKxaZNm5pc7j527Njs2bMlEolEIpk5c+axY8fu3aYpMScnJw8fPpyiqPLy8qSkpOHDhx87\ndqyqqiouLm7ixIn5+fnJycn3LiGE7Nmz58MPPxw1alTj+ZkBoE3w5gGwPhqN5urVq6GhoWfOnJk/\nf/68efPGjh179OhRQgiPxxs3btyWLVtOnTq1fv36xv9lNBobyldQFNXspeb+/funpqYeP358wIAB\nPB4vPj7excXFw8NDIpEsWLDANLZLr9cbjcYvvviiyZItW7b4+fklJCQ89thjkydPdnd3N/uBALBF\nOGMGsDIajeb1118fMGCAj4/PoUOHxo8f/+qrr3p5eWVkZGi1WkLI1KlT33rrrQkTJggEgsb/+Oij\nj27evLm+vr6urm7z5s3Nzs7P5/N79uy5du3agQMHDh48+PPPPx81ahQh5LHHHtu6dWtNTY1Wqx0x\nYsTevXvvXUII6dmzZ3h4+Ny5c99++21LHAsAW4TEDGA1/Pz8fH19g4KCampqNmzYQAiZPn36xYsX\ne/bs+corryxatMg0CMt0sjt79uwm/z5u3LjBgwd37dq1a9euo0aNGjNmTLN7MWViPz+/QYMGFRYW\njhw5khDSq1ev2bNn9+rVKzg4uEePHk899dS9Sxq28O677yYmJp49e9YsRwHA1mGubABbc/Hixfnz\n51+4cIHtQACgPXDGDGBTduzYMXny5G+//ZbtQACgnXDGDAAAwCE4YwYAAOAQJGYAAAAOQWIGAADg\nECRmAAAADkFiBgAA4BAkZgAAAA5BYgYAAOAQJGYAAAAOQWIGAADgECRmAAAADmG5HnNtbS2DW6Np\nmqZpnU7H4DbZwuPxmi2Xa3VsqVOIDfULIUQgEOh0OpuZlNeWuoagd7hNIBDo9XqDwcDUBqVSaeNf\nWU7MdXV1DG5NJBKJxWJmt8kWqVRqGw2xpU4hNtQvhBBTv5hKONsAW+oaQohIJNJqtegdbhKJRMy+\nd5okZlzKBgAA4BAkZgAAAA5BYgYAAOAQJGYAAAAOQWIGAADgEOYT8yeffFJfX9/wq06n++qrrz76\n6KMNGzYwvi8AAAAbw+TjUkql8sMPP8zKymq88OzZs97e3lOnTl2xYkVhYaGvry+De2SRRm9IyKzc\nkV526XZtdb3OSyYcEez6TE+vMHcJ26EBAIAVYzIxy2Syzz77bNmyZY0X5uTkREZGEkKCgoJycnJM\niXnz5s1VVVUymWzq1KkMBsDj8Xg8XpMHwszhWF7lkn1ZDgJ6fm/fr8a7uEkEN6rqt1+6PeaXK28M\n7vTygACaoh5yFwKBwAINsQCLdYpl2Ey/EEIoihKLxUKhkO1AmGFLXUMIoWkavcNZzPbOvc9DMzzB\nCE3T1D9zkkqlcnd3J4TI5XKlUsns7izPYDQuP3L9h3M3V4wKmdndu6GtHlJhrK/TvF4+M+PTrlfW\nrXo8/KFTMwAA2COzz/wlkUgqKiqCgoIqKio8PT1NC2fOnGn6oby8nMF9iUQiiqKYneazMY3esDAh\n91pl3cHZ0QEuIpWq6Y78pWT3tIgntlx564+MZUP8H2ZfUqnUfA2xJHN3ioXZTL8QQoRCYX19vS3N\nLWUzXUMIEQgE6B3OMnfvmH1UdkhISH5+PiGkoKAgODjY3LszH7XeOHNnZmWdbt/MqAAX0f1Wk0v4\nO6eGb00rOZhbZcnwAADANpgxMWdnZ69evbpv375FRUUrV6709PT08/Mz3+7MSqM3zPsti1BUfFy4\no4jX8sodHYXfjAn+1x+5ZbU28m0XAAAshmK3egnjl7LFYrFCoWBwm4QQo5Es+j23UKHeHhfuIGjt\nV5mX/rhGCPlmbOf27dRmrvyYqVPYYjP9QghxdXVVKpW4WMpNLi4utbW16B1uYrx3TCOxGmCCkQf7\n9MTN9JLaTZPCWp+VCSHvDfb/I7vy0m3beS0CAIAFIDE/wLa0sm1ppdumdHEWt22gnIdU8FI/7w+O\n3DBTYAAAYJOQmFtyrrDmvUP5G58K9XG672ivFszv2TGzTHW+sIbxwAAAwFYhMd9XUbV63m9Zn48M\n7Ont2L4tOAjo53t3/Pp0IbOBAQCADUNibp5ab5zzW/aUaI+nIt0fvPb9zevRIaVIebVMxVRgAABg\n25CYm/fan3kuYv57jz7UJCGEEEcRb1qMx88XbjMSFQAA2Dwk5masSyk+fUOx9okQHs3AvJqzu3fY\ndaW8Rq1/+E0BAIDNQ2JuKrmoZsWJwvUTw1wdmJmvtLObuIe3bGd6GSNbAwAA24bE/A/FNZo5u7I+\nHxkY04HJQihzenTYdKmEwQ0CAICtQmL+H7XeOOe3rElRDzvg614jg11vKjQZGAIGAAAPgsT8P68d\nuOYo4i8d/LADvu4l5FGPd3H79QqT848CAIBNQmK+6/vk4rM3a358IoTPxICve02K9Nh1pdzA6szk\nAADAfUjMhBByOO/OlycLN01ibMDXvfr6OVIUOYdZwAAAoEVIzCSzTPX83pz/PB7cxUNivr3QFDU+\nzG1fZoX5dgEAADbA3hNzWa12+s7M1wf6Du/sau59jQuT78+uwsVsAABogbmu3LaSg4MDg1vj8/k0\nTbd+m7Ua/dO7rozp4vHSwCAGw7ifgcFivTHnaqU21tfpgSvz+XxmDw5b2topHGcz/UIIoShKJBLx\n+Sx/CDDFlrqGEELTNHqHs5jtHZ1O12QJy71eX1/P4NZEIhFN063cps5gnLkzw0PC/2iIH7NhtGB0\niOtvl4uj3IUPXLP1DeE4oVBoM20hNtQvhBCxWKzRaBgs9s4uW+oagt7hNpFIZNbeYTkxGxm9sGva\nWmu2aTSSl//IVaj1u6aG0RTDYbRgTKjrO4n5rXwiy2JRWQDawk1Go9HGmsN2CMRgNP59S3m1TFWn\nNYTKHXr7OkqFvHZsx/hfjEfIFltqCzHze8dGrpO01QdHb6Terk2YEekgsOhd9v7+zsU1mvw79Z1c\nxJbcLwCYm9FI9mSUf3ysQG8w9vB2FPGpLZdKC6vVT3fzermfj/me+ADbY4+vlS9PFf6eWfH701GW\nf6sIedTgQJfE3DvPxnaw8K4BwHzUeuPifTmpxbWfDu80KsStYXlmmWrlycJB6y6tGtt5SJALixGC\nFbG7UdlrzhdvvFjy2/TIjo4PvtFrDsM6uyReq2Jl1wBgDvU6w+RtV+/U6w/Pi26clQkhXTwkP00I\nXTEicEFCzrqUYrYiBOtiX4l5XUrx6rNFu6ZFBLiI2IphWGeX0zcUtRpUgQSwBQajcWFCjkRAb50c\n5iRq/iLcuDC3vTMiV58r/uJkoYXDA2tkR4n5pwu3vzhVuGtaRIiczVH7XjJhmIck6YaCxRgAgClf\nniq6cUf904RQAa+lj9NwD8neGZGbUktWnSmyWGxgpewlMa+7cHvlyZu7p0eadXqvVhoS6HLsOhIz\ngNVLLqz5Ibl43YTQ1gy9DnAR/TY9cs354h2ozg4tsovEvOZ88VenCndPjwznQFYmhAwOdD52/Q7b\nUQDAQ1HrjYt+z/1waECQa2sfsujsJt40Keztg/mnC6rNGhtYNdtPzP8+Xfifc7f2cCYrE0J6+zoV\n12huKtRsBwIA7bfqTJG3o3B6jGeb/ivWx/Gr0UHP7M7GJwDcj40n5k+PF2xMLU2YGRnqzqHZ4IQ8\nqr+/E06aAazXjTvq/5y79X8jAqm214l9Ilz+dDfPWbsy63UGM4QGVs9mE7PRSN5NzN+TUZEwIzKw\n1ReaLGYwbjMDWLMVJwqmx3i2e8zKW4P8vKTC1/7MYzYqsA22mZj1BuPL+68l3VDsmxnp58zak1Et\nGNTJ+eQNhW1NUQdgL66Uqg7mVi15xKfdW6Apas3jIWcKqn++cJvBwMA22GBi1ugNz+3NyShT7Zke\n4SVjZxaRB+riLqEpKqNcxXYgANBmK04ULOjV0V0ieJiNuDrw108MW3785oVbNUwFBrbB1qbkVGn0\nT/+aVa8z7JoW4Shqz9zxlkFRZECAU1K+IoIzQ9IAoDXSS1Rnb9b8Z3zww28qpoP042EB837LPjwv\n5iHTvI0pUKh3Xy0/eaP6WmVdjVrvIKCDXMU9fRzHhbl17yhjOzqzs6nEXK8zTNicIuVT2+PCxXyu\nXwwYEOB86NqdBb06sh0IALTBN2cK53b3ut8kX201Pcbz71vK+buzf50WwafbPpDM5uRV1X9y9Mah\nvDujQ9wmR7mHyh1cHQQqrT6nou7kjeoZOzN9nEQv9/MZG+b24G1ZLZtKzGI+/Xw//8f8xC1PwcMR\nAwKcTYVoeHg3AliJvKr6Q9fuJC/szuA2Px0e+OTWK0sP5a8YEcjgZhtklqn+yK48c7Mmt6KuVqOn\nacrfWdS9o2xMqOugTs50O4aVm4feYFx19tY3Z4rm9vBKXdTT7Z9FhsI9JI93kX8yLGDXlYplh/N/\nSC5eOSowzN02rzgymZh1Ot2qVauUSqW/v/+cOXNMC8vLy1999VVPT09CyJIlS7y9vRnc473iunZU\nKKxjtHNnN7FUQKeV1NrDlRkA2/BDcnFctAezl52FPGrDxLARGy6He0pmdfNiarMGo/FAdtW3Z2/l\nVtaNCXWdGu0R5u7gJOLrjcb8qvozN2ve+Os6j6aW9PeZHOnBenauUOnm7c6q1egT50S3MGuykEdP\ni/GYGOm++mzR6F/SX+nvu6iPtyWDzypX+TuLzV0mjMnEfPbsWW9v76lTp65YsaKwsNDX15cQUlZW\nNmbMmLi4OAZ3ZDP6+TudLqhGYgawCnfqdTsulx2aG8P4lj2lgl+eCpu47aq3o2hYZwY+9s/crF52\n+EaNWvevfj5PRXqIeP/IXUGu4qFBLm8P8j2QXbX8eMHGiyWrxgZ3dmPtsdKsctW0HZlDg1w+Hd5J\n2IrrnSIe9eojvmNC3RbszTmRf2fN46FyiSWu/p65WT17V9bqccFTPMx7IZ3JS745OTlBQUGEkKCg\noJycHNPCkpKSW7durV69+tixYwzuyzb093c6cxMz8wFYh82ppf38nMyUwGI6SH94IuT5hJyUooca\npF2u0i7alzv3t6zpMR4nn+02PcazSVZuQFPU2DC3Y8/EPNrJeeTGy7uulD/MftvtYrHyiS1Xno3t\n+MWooNZk5QbhHpKDc6K9nUTDNqSlFivNF6HJ71kVM3dmfTEqaESwq7n3xeS3DJVK5e7uTgiRy+VK\n5d3DJJFIoqKiunfv/s0337i5ucXExBBCZs2aVVhY6O7uvn37dgYDIIRQFCWXy5ndpvmMjhZ9cuym\nq5tbs7d5xGLOzYvSPtbVKQ9kS/3i5OTEdhRMMmvX6A3GDampP06OMd+LeYpcruOJZ/yavn9+nz7u\n/Lb2jtFINqbcfP33jCciO2S+2V0ube3Dop896TEupjJu04WCWvLxqDAzXRlutnfOF9yZuiPzi/GR\nc3r5tW+zm572+PHsjUnxmasnRs3o0f4ny1v27cnrHx68vntu7JBgd8L0e6eurq7JEiYTs0Qiqaio\nCAoKqqioMN1UJoT07t3b9MPQoUOzs7NNiXnlypU6nY7H4925w+S0lEKhUCgUNnwn4D4vAeHT5FTW\nregO0iZ/cnBwuLe3rJHVdUrLbKZfCCFOTk4qlUqn07EdCDPM3TV/ZlcKaNLTQ8Dsp1YTY4KkNcMD\nR609G/90j/4+ktb3zvWqulf2X7upUP88IXRgJxeiVd2504ZpEqLd6INzYqZuv3qtVPHt+BDGx4c3\n2zuXipUTt6Z/OiLoyRDHhzmqk7s4+0nDZ/+afiG/7L0hAcwOZ9MbjMsO5ydklCfMjIpw55viZPa9\nYzAYJJJ/jGJjMjGHhITk5+f36tWroKCgf//+poXbtm2LiIjo2rVrQUFBcPDdJ/+8vO4OcCgvZ/Li\nicFgIITo9XoGt2lu/fycTt24E+HR9Luk0Wi0robcjzV2Sgtspl9MDAaDzTTH3F3zU8qtOd29DAaz\nH65JEXInIT1188U3B/k/093zgVmmTmtYfe7WmvO35vXosHlSmJhPt+84dJTx986ImL4jc86vGT8+\nGdKmq8oPdG/v5FTUTd525f0hAZMi5A/fcb28pQdnR8/alZVRVrtmfAhTk1jUqPUL9uaU1mr+nB3V\nQSZsiNNoNJr1vcPkoe/bt29RUdHKlSs9PT39/Pyys7NXr149bNiw+Pj4pUuXVlVV9evXj8Hd2YZ+\nfo4oAAfAcTfuqM8W1sRFe1hmdyOCXY8832fD38VTtmdkl9/3MoBab1z/9+2+P1w8V1hzYFbUe4P9\nH3L+Bhcx/9dpEYp63TO7czR6MxbYuFWjmRyf8WJf7xld21abqwW+zqLfn44S8+mRGy/nVDBw7SS7\nvG7kxssOAnrfzKgOlp1EkjKyOl8zs2fMIpFILBZby+NSJldKVZO2Xb36r9gm34ulUmltbS1LQTHJ\nGjulBTbTL4QQV1dXpVKp1WrZDoQZZu2a5cdvlijVq8YyMNtXK7m4uJTfqfns2PV1F24PDXKZEuXR\nx8/RRcwnhNRq9ClFNQdz7+y6Whbk6vDaAN+hQUw+v6PSGqbvyHBx4K97MpSpa9qNe6eqTjd+85UR\nwa7LhvgzsvHGjEby7dmib8/eWjkq6Mnw9o8G2JFe9k5i/kv9vBf38bn3ooWLi0ttbS2D7x3T8KwG\nNjXBiDUK93DQGox5VfUsPqsAAC3QGYzb0krXTwy18H4dBPS7g/3nx3bYmla28uTNK6UqEZ+mCKnV\n6kPlksGBztvjIrreMzzl4UkE9JbJXSbHZ7ywL3fN+GBmZ0Cq1xlm7Mzs7i1bOpj5rEwIoSjyr34+\nPX0cn9+bc/ha1afDA9t6WbuyTvfWwevnC2u2TO7Sx9fRHEE+EBIzy2iK6uUjO3uzGokZgJsO5la5\nOvB7+bDzGe0lEy7p77Okv49abyyv1RiMxEMqMPeUw1IhLz6uy1PbMl45kPfvMZ2ZGk2lMxjn78l2\nFvO+GtWeOtat94i/0/FnYl7/6/ojP6YuHx44vnXzdxqMxi2XSpcfLxje2fX4MzHOYtbyoxVMXWnz\n+vg6nsXTzABctTm1dCZzt0LbTcSjfJxEfs4iyxQCcBLxt0/pcrFY+VbidUZueBqNZMmBvMo63c8T\nwiwwa7KbRPDThNDPRgR+cDh/zKb0xGtVhvs3Q6M37kwvG7Qu7ceU2z8+GfrtuGAWszLBGTMX9PVz\n3ppWxnYUANCM4hrNyQLFaiZqSVkdN4ngt+kRT2y5svRw/sePdXrIc9x3D12/VKzcOyPSQWC5E8LR\noW6PdXbZlFr6bmL+WwbjuC7yfn6OXTwkprv1t2s0GWWqE/mK/dmVvs6iVx/xeSJczoXJw5GY2dfd\nW3arWl1aq/WUou4bALdsv1w6LMilSUEF++EuEfw2LWLC1qt6w/VPh7f/+vO7f+UcybuTMDPK1eJH\nUsijn+nZYW4PrzM3aw5kV/779K3cyjpFvY4Q4iEVhLlL+vs7/TotItqL+bv17WanrzZOEfGobh1l\n5wprWnkjBAAsw2gk29LKlg83S9Ena+ElE+6ZETlx69WX91/7cnRQW8dpG43kvUP5R64rdk+PZPHc\ng6aoR/ydHvG3jqnucI+ZE/r4OZ3DbWYAjjlXWFOnMwwJdGY7EJZ5SgUJMyKyyuvm/Jal1LRhVg2N\n3rjo99wTNxQH5/fs6GjRR4GtGhIzJ/TykZ0vfKiZ6wGAcdvSSuOiPVExnfz3frOApsb8kt7K6TuK\nazQTt14prtHsmxnZwVFk7ghtCRIzJ/T2dbpSqqrTmnGqHQBoE5XWkJBZMdVSs31xn0RA/zwhbGKE\nfNTG9B9TbusM9x3kbDSS366WD/n5UreOsu1xXVxYHeFsjXC8OMHNgR/gIvq7WGktt0AAbN6+zIpw\nDwkmGGiMosjL/X0HB7q89mfehou3X+zr82S4vPHjWzqDMTG3avW5W2W12v+MD2F2SjL7gcTMFb19\nHc8X1iAxA3BE/OWyaTE4XW5Gt46yg3Oi92RUrEu5/fqfeT29Zf4uIh5F3VZqzhcqvWSC+T07zOjm\ndb860PBASMxc0cfXaW9GOSHmqicKAK1XoFD/favml6fC2A6Eo2iKmhjhPjHC/VaN5tzN6uIajc5g\n7Ovn9PFjnYLlDmxHZ/WQmLmit6/j0sP5BqORC4+3A9i5+LTSsWFypqoH2jBvR+GECPcHrwdtgcFf\nXBHkKhbQVNb9S7wBgGUYjWRHehmGfQFbkJi5gqJIL1/H5CI8NAXAslMFCoORDAjAgA9gBxIzh+Bp\nZgAu2JpWFhftgZtKwBaW7zE7ODA5TIDP59M0zew2LWlgZ4/Nl66a4ufz+dbbkMasvVOasJl+IYRQ\nFCUSifh8GxlowlTX1Kj1+7Mrzy7qzW5H0zSN3uEsZntHp9M1WcJyr9fVMXlLVSQS0TTN7DYtKcJN\nUKSov1Fe7SkVWHVDGrP2TmnCltoiFovVarVWq2U7EGYw1TVbLpb06CjrIGb406mtRCIReoezzN07\nzV/KLitDFUIWCHlUTEdZMq5mA7BnWxoeXwaWNZ+YY2NjJ06cmJCQYDPf16xFbx/H8xj/BcCSjDJV\nbmXduDA524GAXWs+Mefl5S1YsGDHjh2hoaGvvPLKpUuXLByW3erl44jxXwBs+eViyeRIdwcBRsUC\nm5p//fH+v737Doji2hoAfrexy+4Cu7D0vlQBRRQQsSESsWGNmlhiI89nokRjjUmMGl+MsSVRkzzl\nGWNNscQaFFAEsVcEQbr0trStbJvvj33h48GKlNnK+f0lw86ds3MczpQ795JI0dHRBw4cWLt2bXx8\nfERExODBg2/fvq3l4PqgIc5mGVVCiRxmswBA21oU2JkXdXMDbXUdCOjr1BfmkydPTpkypX///pmZ\nmZcuXeLxePHx8e+9956Wg+uDOHSKo7nJsyqhrgMBoM+5kF3nzqYF2NJ1HQjo69T3yr5+/fry5csj\nIyNJpP+OSBcUFPTVV19pMbC+a4iz+b3S5kgfO10HAkDf8vOT6kWD4LgDute+ML/77ruqfxw+fPjw\n4cOty0+dOjVr1iztxdWHhToyr+Y36DoKAPqWF7WifJ54aj/o9gV0r31hjo2N1UkcoFWok9m2m6XY\na+cgBwDg7+fHVbMDrNtOLQyArrQvzGPGjKmvrz948OCGDRt0EhDwtqJjGJZTK3BhwIiAAGhDk0R+\nOrMuadEAXQcCAEJqO39ZWFgcP368qKhI+9EAhBCBK/c5IAAAIABJREFUgEKdzO6WNOk6EAD6iuPP\naoY6m3tY0nQdCAAIqe38RSKR/P39g4KCwsPDGQyGauEff/yh3cD6tFBHszslTbP6sXQdCADGT6HE\nDj+q2j2eq+tAAPgv9b2y4+Li4uLitBwKaBXmbH7iciFCrroOBADj91deA41CHOUG58FAX6jv6RAe\nHs7hcJhMJpPJpFKpX3/9tZbD6uMG2jMrmiVVAqmuAwHA+B24V/HhEAeY4xHoD/VXzKtWrbpy5UpV\nVVVQUNCLFy+WL1+u5bD6OBMSYZCj+f0y/mRfeHkDAA1Ke9VU3tzytj/MWgH0iPor5mvXrmVlZa1a\ntWr37t2PHj3KzMzUclhguBv7TikMmg2AZn1/p2JpiL0JCa6XgR5RX5gbGxsRQqGhoampqS4uLtBD\nW/uGubHuQMdsADTpfhn/ebVgYRAMjg30i/pb2dOnT4+JiTl27Ni6detqamo4HE5X2pLL5d9//71A\nIHBxcVm4cGEnC8EbDXG2yOVJGsRytqn6HAEAeml7aumKMEeGCUnXgQDwP9RfMe/bt2/Xrl3W1taH\nDh1iMBgHDhzoSlt37951cHDYtGlTZWVlWVlZJwvBG5nTyH7Wpg9gbmYANCPtVVNunWgxDI4N9I/6\nqzECgfDs2bP4+Phdu3ZVVVV5eHh0pa28vDx/f3+EEJfLzcvLc3Jyet3CxMREPp9vamo6YsQI3L4K\nQmQymUgk0mjGMEoAmUwe7m75sFI0OcBe17H0ijElBSFEJpON5rsQCAQTE5PWiWoMXbdSo8SwL1NK\nP43kss30dC4pIpHYZ7Oj//DNjlwub7dEfWH+4osvHjx4UFxcTCAQDhw4cO/evR07dryxdZFIpLrp\nbWVlJRAIOlmYkZFRW1trYWERGRnZ4y/TEZFIJBAIFAoFxzZ1hUgkjuRa7U4tMvSvY0xJQQgRiUSj\n+S4EAkF12qTrQPDRrdT88qhcqsBih7iQiHra7asvZ0f/4ZsdrMPUCOoL86+//vro0aNp06aRSKSE\nhAQvL6+uFGY6nc7j8bhcLo/Hs7Gx6WTh6tWrVf+oq6vr4VdRh0ql0mg0Pt8Ybv8yGIyBHPLTCn4V\nr9Ggn4EZU1IQQgwGQyg0ktmy2Wy2SCSSyWS6DgQfXU9Ng1j+WULuDzGeIqFA01H1GIvF6pvZMQi4\nZ8fMzKztj+oLvlQqbd2kRCIxNTXtStNeXl7FxcUIoZKSEk9Pz04Wgq6wpFO8rGj3y/X3bwcAhmhT\ncvEoN4sIdxjqC+gp9YX5ww8/HDt2bFFR0c6dO0eMGLFs2bKutBUWFlZeXr5z504bGxtnZ+fc3Nz9\n+/e3W4hr8MZvmIvFrVfw0hQAuLle2JhY0LAtyl3XgQDwWoSOd7dVrl+/npKSQqfTo6KigoODNbR5\nTdzKbmoyhkqmuvNzJbf++zsVCQsCdB1OzxlTUpBx3ZFjs9kCgaBP3SytFkhHH87YGc2d6GOpnah6\njMViCYXCPpUdA4J7dtq9k6z+GXNtbW1kZCS+PbNADwx1Nn//zzyBVME05MfMAOgDqUL5j/N5U/px\n9L8qgz5O/a3s4ODg6dOnX7hwwWjO1wwU25TswzG9U9qs60AAMGwYhlZdKSQgtCUSJm0D+k59YS4s\nLFy6dOnvv//u7e398ccfP3v2TMthgVYj3SxuFhnJfWAAdEKJYeuuFT6vFv4ywweGxQb6T31hJpFI\n0dHRBw4cWLt2bXx8fERExODBg2/fvq3l4ABCaJQ7K7UYCjMAPSSQKmLP5T6uEJyd42dBgwFugQFQ\nX5hPnjw5ZcqU/v37Z2ZmXrp0icfjxcfHv/fee1oODiCEwpzMCuvF1TA3MwDdd7eUH/VzhgJD5+b4\ncejGM8AFMG7qzx+vX7++fPnyyMjI1iHHgoKCvvrqKy0GBv7LlEIMcTJPLW6aGQBTxgLQJQoldrO4\n6fDjqgdl/E8jXOYH2hLgBjYwHOoLc3x8fMeFs2bN0nAwQL1R7hapr5q1WZjlSqysuUUsU7qzaTSy\nkQwKCAydEsMK6iWF9ZJqobRR/P/DC1vQyAQColKp1Y3CGqEsjyd+WC7g0MlzAm1+iPE0p8Lta2Bg\n4L+sAYh0Z8U/zMEwpIWzfp5Ivv9e+bGnNQghUzKxViSb6G25eriTn7WejvUPjJ5ciSXkNZzNqr1Z\n3EwmETwtaXZME9bfT4uVGNbcokAIkclkJhlxGOTpfpztY925bOOZMgH0NVCYDUB/WwaGYc+rhQPs\nGBrdUEpR44cX84e7Wpyf6+9vQ0cI1Qpl8Y8qY45lbRzlvGQwTJAHtEqJYb89r9t5q5RpQprd3/rT\nCFcPy9eWWyMbwgL0ZVCYDQCBgCK5rKSCRo0W5rMv6tZdLdo7wSOmzfAL1gzKJyNdYnw4C87kVAlk\nn46CQVWBlhTUSz68mC+UKb6J5o7hsuAhMeg74PGhYYjyYCcVNGiu/Qs5vA3Xik7N8o1RNyhSgC39\n/Fz/M1m1++6Way4GAFqdyaobe+T5W56sG4sHRHlAVQZ9CxRmwxDhbvGsSlAv0shAbI8rBKuuFB6Z\n7hPiaPa6zzhZUP94x+/7OxUpRY2aiAGAVt+klX6WVHxylu/qYU5kfZ0vGQDNgcJsGCxo5GBHs6RC\n/ItivVi+8OzLL6Ncw13MO/+khyVt7wSPZRfy4aVqoCEYhjYlF5/Oqru6sP8Qp9eeJgJg3KAwG4yJ\nPpZ/5eJ8NxvDUNzl/NHurDkDbLry+Uk+lpN8LddfK8I3DABUtqa8SipovDDP38WCqutYANAZKMwG\nY7yX5fXCBrFMiWObR55UFdZLto/txty0myJcn1YKL76sxzEMABBCB+5VnM/mnX7Xz45poutYANAl\nHffKplLxPC8mk8kEAgHfNnWFRCK1+yKeNlQvDv1WmXCSL+d1a3VLSaPkXzdLz80fwGaadn0tKhXt\nmei98lLuhH62dMqbT+zIZDKRSDSOpCB1eTFcBAKBQqEQiXpxdn4xu27f3Ypri4PcOT18Y96YUoMQ\nIhKJ+pOd3oPsdEIul7dbouPCrFAocGxNNYAovm3qilKp7PhFJvlwzmfVjPdi9759DEMrLrxcMMgu\nyI7R3T021pPlZ0PflVr0aYTbGz9MJBIxDDOOpKDX5MVAYRimJ18ns1r4wfmcozP7cdnUHsejJ98F\nL/qTHVwY03dBeGcHw7B2S3RcmDueKfQGiUTCMAzfNnVF7ReZ5M0a+0upQCLt/TCZv2fWFjeIj87w\n7tnu2hLpMu6XzLn9rZ3e9CxQa0nJrhVdzOFlVAslcszJ3GSos/lUPw4V7zn+jOY/mIpCodD512mS\nyOf//mLDSOdwJ2ZvgjGy1KhOZ43mG0F2usVI7pP0EZ5Wph6Wpgl5ve0C1iCWf5H86pto9x4XeB8O\n/e0Azs5bZb2MBBcVfOmSc7mTj2dV8KWTvC3nB9q4s2m/PK0O3P/w6NPqDiejQI9gGFpxuSDIgRkL\n48oB8DcY+cvAvO3POZ1VO7WfVW8a+TLl1Sh3iwh3Vm8aWT3Maei/ny4Pc/Cy6sYjatzdLGr854X8\nqf2s7v8ziG36//+fPxrqeKe0efVfhZdf1h+a6gUzGein/zyqzK0TJS8aoOtAANAjcMVsYKb5cW4W\nNfVmpJEHZfyLOfVbx7j1MhI7psnCQbY70kp72U5vXHrJW/Jn3q5x3O1j3dtWZZWhzuY3lgRa0MgT\nj2VV8OHda72TXSv6KrX04BRvhglJ17EAoEegMBsYGwZluKv571l1PVtdrsTWXi1cP8LJhoHDpPEr\nhjhcL2zMqRX1vqkeuJbfsPJK4dEZPhPVDSOqQiUR/j3ZK8LNYsapF7VCjYybBnpGqsD+eT5v9TAn\nTU/NAoDBgcJseBYNsjvyuKpnj04PPayikIiLBuHzPM+STlk8yG53ug6eNGfViD64mH9oitcbBywj\nENDWMW4jXC1m/5YtwvUtcNAb21NL2KbkZaH2ug4EAL0DhdnwRHmwpArsZnG3h+csb27Zdats1zgu\nCb/xh5eFOiQXNubWifFqsCsaJfL5p3M+HeU8mtulx+QEAvp6rJuTBfXDi/lK6AymB+6X8Y8/rdk3\nyZMI01MA0AEUZsNDJBAWBNn+51F1d1dcm1D0Tn/rQFzvHFrRyfMH2n53R3uzTmEY+uhyQZizebeu\n+4kEwo8xngX14u/uVGguNtAVYplyxaX8zZGuzjDuJgDqQGE2SAuCbO+UNmfVdOPh7pmsupw60UYN\nTKj8Qaj95dz6kqYW3FtW6+jT6pd1op3R3RhGVIVhQvp5us+BexW3S5o1ERjooi9TXrmzaXMDuzQ8\nOwB9EBRmg8SikZcMtt3V5deIqwTSjYlFe8ZzNdH91ZZpMivAWjtTNZc2tXyZUnIgxrNnX8TDkvZN\ntPs/L+Q1iI1nrAPDcreU/0dm3Z4JHroOBAD9BYXZUP0zxCG1uCmjSvjGT2IYirtcMN2P08sXlzux\nIszhj8w6TU8HqbqJvSDIdrBDzycEnO7HGe5qsfZqIY6BgS4Sy5QfXc7fHOnqYAbTVADwWlCYDRXb\nlPzxMMc1CYUK5Rt6M313p6ySL/0i0lVzwThbUCd6W/54v1Jzm0AI/fq8try5Zd2I3t6N/3qs2+MK\nwemevnIGemx7aokri9rFOUYB6LOgMBuwpSH2MqXy8OPOeoElFjT8cL/yyHSf3g+v3bm4oQ5Hn1Zr\n7hYxTyTffL1413hu74e/NqeS947nfppUrOlLfNDWg3L+yYzaPeM9oCM2AJ2DwmzAyETC3vEeX6eW\n3ivjq/3AndLmZRfyf5rs5WFJ03QwPhz6SDeLQw81ddG85UbxW57sEa4WuLQ2yp012ddy7dUiXFoD\nbySRK1dcyt802uWNs54AAKAwG7aB9sxd49wXnMnp+LA5Ia9+/umXeyd4RHbtZd/eWznUMf5RlUCK\n/+Ru98v4CXkNm3G9G//FaNfMauG5F3BDWxu+ulnibEGbH2ir60AAMABQmA3eND/OZxGu006++P5O\nuWrUyRe1orjL+auuFB6c4hXz+uEqcTfQnhlkzzz8qArfZhVKbP21wvUjnDl0HIYRbcU0Ie0ex/0k\nsYgngh7amnW3lH8qo3bveC7cxAagK/Ccckcul3///fcCgcDFxWXhwoWqhXV1datXr7axsUEIrVq1\nysHBAcctApV5gTb9bRk7Uku/TiuTyRUsU8rb/pzU2EBrPAbE7pbVw5wWnHkZG2xPp+B2zvfz4yoC\nIiwMwv9iazSX9ZYHe2Ni0b+neOHeOFARShXLL+VtHeMGN7EB6CI8C/Pdu3cdHBzeeeed7du3l5WV\nOTk5IYRqa2snTJgwe/ZsHDcEOgq0Y5yc5SuWKVsUSqYJiYzfoJvdEupk5m/LOPyoankYPmdgdSLZ\nN7fKTsz0xXEY0ba+jHIbdvDp1byGaC+2JtoHnycX+1rT3x1gretAADAYeN7KzsvL43K5CCEul5uX\nl6daWF1dXVFRsX///pSUFBy3BdQypRBZNLKuqrLKuuFOB+5V4DVdxJbrr6I92SGOPX9xuXMsGnlH\ntPvaq4VNErihjb+/cusT8hq+heFEAOgOPK+YRSIRh8NBCFlZWQkEAtVCOp0eEBAQFBT03XffWVpa\nDhgwACG0bt26yspKNpu9Z88eHAMgEAhEIpHF0lJfJ40iEokUirZvRONiLIs18G7V0cyGDaM9UO+S\ncru44VpB4/PVI1hMDd4FnTeEdaWAvy2t8tDM/m/8sOHmpSMikchkMjGNzepR3iRZfbXo0MwBng7a\nuFw2ptQghEgkkkazo2WQnU5IJJJ2S3AozElJSVlZWWFhYXQ6ncfjcblcHo+neqiMEAoNDVX9IzIy\nMjc3V1WY582bJ5FIKBSKUPjmgau6jkKhmJiY4NumrtBotI7ZMhSfjnKeevz53AArSzqlx0mRK7EP\nzjz/ZJQrgyAXCjV7Obs9yi3sp4fnn7GiPN/QV86g89IOk8mUSCRyuUb2rUKJzTuRMcPPOsKFoZ1D\n0phSgzScHe2D7HRCqWx/fxGHwhwVFRUVFYUQkslkxcXFISEhJSUl4eHhqt+eOnXKz88vMDCwpKTE\n09NTtVBVnhFCdXV4vqxCJBIxDJPJZDi2qSsmJiaG+0UCrGmj3Cx2p73aHOna46Tsu1tOJRPmD+Bo\nYT9YmKBvorkrLuamxgayaJ0dFAadl47kcrmGvs721JLmFvnnEc5a211GlhoMwzSXHe2D7HQLns+Y\nw8LCysvLd+7caWNj4+zsnJubu3///qioqF9//fXzzz9vaGgYOnQojpsD+uzTCJdfnlQXNfTwHPlV\nY8ve2+W7x3loqM9XRzE+luEu5uthyBE8JBY0HHlSc3iaj0mvh2kDoA8i6PYZBr5XzFQqlUajNTU1\n4dimrjAYWroBqDlbb5Tk8kR/zA3sblKUGDbjVPZgB+ZnES6aC6+jRok84j8ZG0c5zwp47TNRI8hL\nKzabLRAIcD/rL6iXTDiWuX+Sx1seWu3obkypQQixWCyhUGg0V5mQnc6pume1ggFGgKZ8PMzxaaXw\nr5e87q54+HE1TyTr/WQV3cWikX+I8dyYWFzcaDwPw7SsSSKfdzrng1B7LVdlAIwJFGagKUwT0o6x\n7isv5TaKu3FemV0r2n6zdN8kT53cBQ13MV8aYr/4bG6Lwkh6w2qTVIEtOPMyyJ4ZF+ao61gAMGBQ\nmIEGTfSxHObGWnkhu4ufF0oVS87lrh3hFGjH0GhgnVg9zJHDoKxLgAmbu0ehxD64mEciEr6dAENv\nAtArUJiBZu0a75le3HCk07kpVRRKbNnFfG+O6dJgey0E9jpEAuGnyV63XjVpenppY6LEsJVXCl41\nthyZ7mNCgr8qAPQKHEJAsyzplN/mBX2ZUpJe0tzJxzAMfZpUXMmX/hDjpfPrLUtT8omZvnvSy67k\n1us4FEOgUGIrrxRk1gh/n93PjErSdTgAGDwozEDjBjmafzfRY8GZl3dL1c8brcSwNQmFaa+aTs70\nxXH2i97wtab/PN17xaWCtFfG0Mlfc1oU2Pt/5ubUis++6882xXMkQQD6LL34IwiM3iQfyz3juXP/\nyIl/VNXuBb3SppbpJ19kVAsvzA3Q/nRYnRjuanEgxmPR2dwbRVCb1eOJ5DNOZglkyjPv+kFVBgAv\ncCwBLZnsa8Vlmy69kPvz46o5A2x8OPRGifxmcdOF7LrFg+0+Gemih4NRjPOy/HEyIfZc7vaxbp28\n3Nw3Pa0ULDqXG+nO+nqsGwWeKwOAHyjMQHsCbOmpSwKv5DVcecm79LLenEoaaM+49f5AZz2eqfct\nD/avs30Xnnn5vEr4+WhXnXUW1ycYhn68X7ErvWxLpOv8gfjPkw1AHweFGWgViUiI8bGM8XnDXBF6\nJcTR7NrC/h9czH/r54wD0/wDrPr0UVPUIFl5paBeLL80P8DPmq7rcAAwQnADCoA3czSnnpvjNz/I\ndvqxJ4vOvnxSKdB1RDogkSt33iob83PGECez5EUDoCoDoCF9+twfgK4jEgixg+3mB7t8m1rwzm/Z\ndkyTyf2sRrpZBNox9fDpOL6UGHbuBW/bzRJ3Fu2v9wJ8OFCSAdAgKMwAdIMlnbJ+hPOqcKfkgoar\n+Q3/PJ9XwZe6s2nubJqDuYkNw8TKlGzDpFgzTOzNTBzMTMjamh1Lc5ILG/+VUiKRK7+KchvvbUjP\nIAAwUFCYAeg2ExJhvLelqko1iOW5PHFxg6SCL60RSPN44hqBtE4kL29uaVFgbixqgC0j1JE5yp3l\nZWWq68C7J+1V0/abpRV86ephju8OsDGCkwwADAIUZgB6hW1KHuJkNsTJrOOv6sXy3DpxRrUgvaR5\nR1oZh0GZ6W/97gBrezMT7cfZLQ/K+dtvlr6sE60Md1oQZGv09+oB0CtQmAHQFEtTcpizWZiz2T+C\n7WUK5a0S/qmMmrB/P5nkY7Uq3NFTLy+gs2tF/7pZ8qBcEBfmcGKmr6l+DMQGQJ9CwDBdTm8nFotx\nbI1EIpHJ5JaWFhzb1BUKhWIcc6QbU1IQHnmp5Ld8d+vVzw8rZg2w3fKWpyVdZ4OdUalUmUymVCpV\nP1YLpFuSCs5mVn8w1HnlcFdzqoGdtRvNIaPSLjuGDrLTCZlMZm5u3naJjgtzXV0djq1RqVQajdbU\nZAwDKDIYDKFQqOsocGBMSUH45aWCL92WUpJc2Lgl0vWd/roZU4zNZgsEAplMJlMoDz6s2pNePtGH\nvXGUix1T3++0q2U0h4wKi8USCoVGU8wgO53jcDhtfzSwk2IAjIODmckPMZ7pJc0rLxf8+aLuu4ke\ntjoqh3dL+WsSCs2opLNz/HQ4DTYAoBU8QAJAZ4a5mKfGBrqwaKP+8+xqXoOWt94kka28lPfemZx/\nhNhdmR8AVRkAPQFXzADokimF+E20e5QHK+5y/tv+1ptGu5hoZUKIxIKGtVefBDswb70/0EafJvUC\nAMAVMwC6N9aTfWNx4LMqwZQTL8qaNNtRjt+iiLucH3epYM9kv19m+kFVBkDfQGEGQC/Ym5mcm+M/\n1Nl8zM8ZSQWNGtpKanHTyP8847cobr0/cEZ/Ow1tBQDQG3ArGwB9QSYSNo12GeJk9uGl/PmBNhtG\nOuM42JZIptx649W5bN5XUW4z/DlvXgEAoCNwxQyAfon2Yict7J9e0hxzPKsEp9vaqcVNI+Oflja1\npC4ZAFUZAD0HhRkAveNsQb0w12+4i3nk4Yzjz2p6M9ZAvVi+4lL++3/mrhvhfGKmr65eygIAdB0U\nZgD0EYVE/DTC5dQs3313ymecepHP6/YYeTKF8tDDqrB/P8EQuv2PoFkBuhnGBADQXfCMGQD9FeJo\nlvr+wL3pZW8deT67v/XKcMeuDMslVSjPZtXtTi9nm5KPv+0bqm6CDQCA3oLCDIBeo5IIG0Y6zw20\n+eZW2ZCfnkzysZrd3zrcxVxtv7DsWtHZrLpTz2ttmZTNka4TvC0JMC8UAIYGCjMABsDZgrpvoseG\nEU7Hn9Ws/quQJ5YFOzC9rOjWDDKRQOCJ5cUNkscVAqkSG+fJjp/qHeYMV8kAGCoozAAYDEdz6voR\nzutHOBc2SB6V8wvqJRV8mUKJWdIpUR6sj4c5BdjQSfi9YQUA0AkozAAYHi6bxmXTdB0FAEAjoFc2\nAAAAoEegMAMAAAB6BP/CvG3bNolE0vqjXC7fs2fP1q1bjxw5gvu2AAAAACODZ2EWCARr1669f/9+\n24V37951cHDYtGlTZWVlWVkZjpsDAAAAjA+enb+YTOaOHTs2bdrUdmFeXp6/vz9CiMvl5uXlOTk5\nIYQyMjIkEgmFQuFyuTgGQCKRCAQChWIM09gRiUTj+CLGlBRkRHlRIZONp/unkaWGQCBAdvQWvtlR\nKpXtluCceCKRSPjfEQ1EIhGHw0EIWVlZCQQC1cKffvqpvLzcysrq0KFDOG6dQCAQCAQmk4ljm7pC\nJBKN47A0pqQgI8oLQohIJJqammK9GYlbnxhTahBkR7/hm522D39VcNhTSUlJWVlZYWFhQ4YM6fhb\nOp3O4/G4XC6Px7OxsVEt/OGHH3q/3Y7S0tKSkpK2bNmiica1j0Qi6ToEHKSnp1+9enXr1q26DgQ3\nxpEXhFBcXNzSpUtVN7SMg9GkBkF29NvKlSuXLFnSv39/XFpjMBjtluBQmKOioqKiol73Wy8vr+Li\n4pCQkJKSkvDw8N5vrhNisZjH42l0E6C7RCJRXV2drqMAalRXV7e04DOtJMBdTU0NZEdvaTo7Gnxd\nKjc3d//+/WFhYeXl5Tt37rSxsXF2dtbc5hBCpqamVlZWGt0E6C46na56lgH0ja2tLZVK1XUUQD0b\nGxvIjt7SdHYIRvMMAwAAADACMMAIAAAAoEdImzdv1nUMavD5/K1bt44ZM0YTjcvl8m+//TYxMbGo\nqGjgwIGqhdu2bQsNDTWmfoNasGnTpidPngwdOrSTz/z555/FxcX5+fk1NTWqZxmw/7VD7UGUkJDQ\nmoi2ICma8Pz583379l2/fj01NdXd3Z3FYr1xlaNHjzIYDEtLy660D1nrJb0tNEZ+xSwWizsubDfm\nidpxUcAb8fl8kUiUn58vl8tf9xmxWDx16tRx48a1XQj7Xw9BUnBXXV39yy+/rF+/ftu2bcuWLdu7\nd2+7t2KePXt25syZHrTc+mcNsqYncC80en1WVV9f/9NPPyGEqFTqqlWrkpOTCwsLKRRKdXX1mjVr\nEhIS7O3tg4ODT506NXDgQFtb23Yffvz4MY1Gk0gksbGxVlZWn3/++SeffEKn09uNeTJ69OiO46KA\nN7p3715YWFhVVVVGRsagQYOOHj0qkUgIBEJDQ0NcXFxaWppq//v5+dFo/zMPEux/bbp48WLbw0S1\ncMeOHXBQaFpycvKMGTPMzMwQQra2tkOHDr179+7AgQP379+PEPLw8KioqKioqPD39//jjz9U7/rH\nxcUhhP7880+pVCqXy9esWYNh2N69e2UymZWV1fLly1v/rH300UcIDiWc6GGh0esr5vr6+unTp2/c\nuFGpVNbW1iKEqFTq4sWL3dzcXrx48cYPs1isjz76aMiQIQ8ePGhoaDA1NaXT6UjdmCcdx0UBb5Se\nnh4WFhYSEnL79m3VEmtr6/fff79fv35JSUno7/3fcUXY/zoHB4UWVFdXOzg4tP7o5ORUXV199uzZ\n6Ojozz77TCKRjBgxIjw8/NGjRyNHjvzss88YDMbDhw8RQq6urhs3bvTz80tOTr58+fKoUaO2bNni\n4OCQlpaG/vewgqzhQg8Ljd4V5oyMDPT3EGUsFisxMfHHH38sKSlR9R5XDeFpamqqUChaV3ndh729\nvRFCwcHBjx8/vnPnzrBhw1SfV415ghDi8XhGMyKVlgmFwszMzBMnTly9evXevXuqFKiyw+Vyq6qq\n0N/7vyPY/5rW9iBq1fZHOCi0wMrKSvWHW6WmpsbKyqq8vNzT0xMhtGjRItX7NhUVFaojxcfHp6Ki\nAv194PTr16+mpqaysjI9PX3//v1VVVWqYShitSfhAAAFe0lEQVTaHlaQtR7T80Kjd4X5yJEjDQ0N\nFRUVDAbj/PnzERERy5YtY7PZql3Q9nSDSCSqTkNycnIQQh0/rHrAzmQy5XJ5enp668BkqjFPEEIl\nJSWqgwR0171796ZOnbp+/fpNmzYFBASozitzc3MRQjk5OaoLhdd1cID9r2ltD6J2h4kKHBRaEBER\ncebMGdXTRx6Pd/PmzSFDhtja2hYWFiKEjhw5IhAIMAyztbXNz89HCOXl5dnZ2an+gRDKzs52dHR0\ncHAYPHjw8uXLBw0a1PGwgqz1mJ4XGr3rlc1gMA4dOvTkyZO5c+c6ODicP3/+4cOHLBarpqaGTqeT\nyWRXV9eCggJbW1tvb+8TJ07cu3ePzWb7+vra2dmp/TBCiM/nNzU1RUREqDbh4OCQnJyclpZmY2Mz\ncuRI1cIbN26MHDkSujJ20YkTJyZNmtTay/Tx48dkMvnVq1fp6ek1NTVz584tKSlR7f/CwkIymSyT\nyahUqqozMOx/TWt7ELU7TOrr61WJgINC0ywsLCwsLA4ePJiWlnb//v3Y2Fh7e3tXV9eTJ0+mpKSY\nm5sHBwefPn164sSJV65cuX37tlKpnD59emFhYWVl5fXr1+vr6+fMmePh4fHbb7/dunVLIBCMHj1a\ndTSp/qwhyFov6Hmh6RMDjJw7d87Gxqb1DgPQhKNHj4aHh8Npu6GAgwIAfOF4TOndrWzc3bhxIzMz\nMywsTNeBAKAv4KAAAF/4HlN94ooZAAAAMBTGf8UMAAAAGBAozAAAAIAegcIMAAAA6BEozAAYjJaW\nFgKBYG9vb2dn5+joGBsbq3rDsvcWLVr09ttv49IUAKCXoPMXAAajpaWFRqOpjlmxWLxmzZrq6urT\np0/3slmRSOTt7V1WVoZHjEihUDQ1NXVxfiQAQEdwxQyAQTI1Nd2zZ09aWlp5eTmGYStWrHB0dPT3\n91+5ciWGYbGxsSdPnkQIKRQKV1fXtmNDIoQ2b97s6enp5eW1detWhNDy5ct5PN7ixYtbP6B29d27\nd3O5XF9fX9WoRB03mp6ePnv27MDAwIMHD2pxTwBgdDAAgIFQzRvYdklERERycvLz58+jo6OlUqlU\nKvXy8srJybl27drkyZMxDEtISJg2bVrbVS5fvhwWFiYUCoVCYWhoaEJCgkAgcHNza/uZjqsnJycH\nBwfzeLzm5ubx48cfP36840Zv3bplYWFRUFCg8R0BgFGDYdsAMGwEAiEgIODYsWOJiYn379+vqqqS\nSCSRkZFLlixpamo6duzYwoUL234+JSVlwYIFqglw5s2bl5KSMnz48HZtdlw9JSWloaFh9uzZCKHy\n8vIHDx7MnTu33UYRQuHh4aoJAAAAPQa3sgEwVFKp9MWLF97e3nfu3ImIiMjOzp44cWJQUBBCiEQi\nTZo06cSJE+np6ePHj2+7FoZhrWP0EwiEtvPntOq4Op1OX7p0aWJiYmJi4vPnz3ft2tVxowgh1QxI\nAIDegMIMgEGSSqVr164dPny4o6NjUlJSTEzM6tWrbW1ts7OzZTIZQuidd97ZsGHDtGnTKBRK2xVH\njRp1/PhxiUQiFouPHz/eOuZ+O+1WHzNmzMmTJ/l8vkwmGzt27Pnz59VuFADQe1CYATAwzs7OTk5O\nXC6Xz+cfOXIEITRnzpwnT54MHjz4448//vDDD1Wds4YPH04ikRYsWNBu9UmTJkVERAQGBgYGBo4b\nN27ChAlqt9Ju9ZCQkAULFoSEhHh6eg4aNGjGjBlqNwoA6D14XQoA4/TkyZPY2NhHjx7pZHUAQI/B\nFTMARuj333+fOXPmvn37dLI6AKA34IoZAAAA0CNwxQwAAADoESjMAAAAgB6BwgwAAADoESjMAAAA\ngB6BwgwAAADokf8D5CfN8iqegeAAAAAASUVORK5CYII=\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%R -w 9 -h 12 -u in\n", "prophet_plot_components(m, forecast)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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eLMVERH/RO8gVvYNcceJCNT5cn4vfDpXglwPF6BXojLf7huDBjm78s5NuSy8X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\nmzExMcyaNasSontwaTQaBg0apJsuLCzEysqKxx57rFK2b4w5z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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = m.plot_components(forecast)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Individual holidays can be plotted using the `plot_forecast_component` function (imported from `fbprophet.plot` in Python) like `plot_forecast_component(forecast, 'superbowl')` to plot just the superbowl holiday component." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Fourier Order for Seasonalities\n", "\n", "Seasonalities are estimated using a partial Fourier sum. See [the paper](https://peerj.com/preprints/3190/) for complete details, and [this figure on Wikipedia](https://en.wikipedia.org/wiki/Fourier_series#/media/File:Fourier_Series.svg) for an illustration of how a partial Fourier sum can approximate an aribtrary periodic signal. The number of terms in the partial sum (the order) is a parameter that determines how quickly the seasonality can change. To illustrate this, consider the Peyton Manning data from the Quickstart. The default Fourier order for yearly seasonality is 10, which produces this fit:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "output_hidden": true }, "outputs": [ { "data": { "text/plain": [ "Initial log joint probability = -19.4685\n", "Optimization terminated normally: \n", " Convergence detected: relative gradient magnitude is below tolerance\n" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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bxAuHw+ljS0ktk+SWiW1Y7afJLBApKQghDocjlUrxjgIb1tbWUqm0+d6YuetW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\nRU5ErkJggg==\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%R -w 9 -h 3 -u in\n", "m <- prophet(df)\n", "prophet:::plot_yearly(m)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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Cti2T/fR1PiHyzhCdWgPeyKvA7BgfTBNxlxEhSDpnLjMzE5mZmRc8t2bNmr7/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\nv5EhaChwTxcAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from fbprophet.plot import plot_yearly\n", "m = Prophet().fit(df)\n", "a = plot_yearly(m)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The default values are often appropriate, but they can be increased when the seasonality needs to fit higher-frequency changes, and generally be less smooth. The Fourier order can be specified for each built-in seasonality when instantiating the model, here it is increased to 20:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "output_hidden": true }, "outputs": [ { "data": { "text/plain": [ "Initial log joint probability = -19.4685\n", "Optimization terminated normally: \n", " Convergence detected: relative gradient magnitude is below tolerance\n" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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csCrWrf/bceLQlgx1WTLURafXZ9U2pxQ1HMuoeS+pcN4gwTtPufVzvkiDX9KqPv1LHMRn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\nAAAAgCP/B8DEufnLbyVrAAAAAElFTkSuQmCC\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%R -w 9 -h 3 -u in\n", "m <- prophet(df, yearly.seasonality = 20)\n", "prophet:::plot_yearly(m)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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zsWTJEmRlZeFXv/oV1q5dCwB47bXXkJWVhZycHLz22mt49913xSp3VDFoekMb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\nZPny5UhISICfnx/WrVtX4cb1YcOG4fvvv1dfzgSeFnarVq2Cv78/fHx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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from fbprophet.plot import plot_yearly\n", "m = Prophet(yearly_seasonality=20).fit(df)\n", "a = plot_yearly(m)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Increasing the number of Fourier terms allows the seasonality to fit faster changing cycles, but can also lead to overfitting: N Fourier terms corresponds to 2N variables used for modeling the cycle\n", "\n", "### Specifying Custom Seasonalities\n", "\n", "Prophet will by default fit weekly and yearly seasonalities, if the time series is more than two cycles long. It will also fit daily seasonality for a sub-daily time series. You can add other seasonalities (monthly, quarterly, hourly) using the `add_seasonality` method (Python) or function (R).\n", "\n", "The inputs to this function are a name, the period of the seasonality in days, and the Fourier order for the seasonality. For reference, by default Prophet uses a Fourier order of 3 for weekly seasonality and 10 for yearly seasonality. An optional input to `add_seasonality` is the prior scale for that seasonal component - this is discussed below.\n", "\n", "As an example, here we fit the Peyton Manning data from the Quickstart, but replace the weekly seasonality with monthly seasonality. The monthly seasonality then will appear in the components plot:" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "output_hidden": true }, "outputs": [ { "data": { "text/plain": [ "Initial log joint probability = -19.4685\n", "Optimization terminated normally: \n", " Convergence detected: relative gradient magnitude is below tolerance\n" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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L3jg83E3CN8k+68Tj8RrbH1p6LuvHpJzEiW3CXKhJZeMfvEqlkpKjN1kTmppy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\nGvkf1x+HxqFrW0oAAAAASUVORK5CYII=\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%R -w 9 -h 9 -u in\n", "m <- prophet(weekly.seasonality=FALSE)\n", "m <- add_seasonality(m, name='monthly', period=30.5, fourier.order=5)\n", "m <- fit.prophet(m, df)\n", "forecast <- predict(m, future)\n", "prophet_plot_components(m, forecast)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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Fe+LdfpGI9rKXekQyEpJsORwwYADWrl0rxUsbJTc7JbY90xmTUv5a7uY0l7tB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EStFYtDLfNzQg42JOVhZhcPjI1w0aqm0xKJBKPDnHEmu5ynlomIiFopFodaJL2kBrO2pCDCxRJv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\nKTZO7oiK+iYMWXUaTQrlA79WE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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "m = Prophet(weekly_seasonality=False)\n", "m.add_seasonality(name='monthly', period=30.5, fourier_order=5)\n", "forecast = m.fit(df).predict(future)\n", "fig = m.plot_components(forecast)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Prior scale for holidays and seasonality\n", "If you find that the holidays are overfitting, you can adjust their prior scale to smooth them using the parameter `holidays_prior_scale`. By default this parameter is 10, which provides very little regularization. Reducing this parameter dampens holiday effects:" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "output_hidden": true }, "outputs": [ { "data": { "text/plain": [ "Initial log joint probability = -19.4685\n", "Optimization terminated normally: \n", " Convergence detected: relative gradient magnitude is below tolerance\n", " ds playoff superbowl\n", "17 2014-02-02 1.216714 0.9343464\n", "18 2014-02-03 1.858898 0.9939908\n", "19 2015-01-11 1.216714 0.0000000\n", "20 2015-01-12 1.858898 0.0000000\n", "21 2016-01-17 1.216714 0.0000000\n", "22 2016-01-18 1.858898 0.0000000\n", "23 2016-01-24 1.216714 0.0000000\n", "24 2016-01-25 1.858898 0.0000000\n", "25 2016-02-07 1.216714 0.9343464\n", "26 2016-02-08 1.858898 0.9939908\n" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%R\n", "m <- prophet(df, holidays = holidays, holidays.prior.scale = 0.05)\n", "forecast <- predict(m, future)\n", "forecast %>% \n", " select(ds, playoff, superbowl) %>% \n", " filter(abs(playoff + superbowl) > 0) %>%\n", " tail(10)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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" ], "text/plain": [ " ds playoff superbowl\n", "2190 2014-02-02 1.205344 0.963327\n", "2191 2014-02-03 1.851992 0.991010\n", "2532 2015-01-11 1.205344 0.000000\n", "2533 2015-01-12 1.851992 0.000000\n", "2901 2016-01-17 1.205344 0.000000\n", "2902 2016-01-18 1.851992 0.000000\n", "2908 2016-01-24 1.205344 0.000000\n", "2909 2016-01-25 1.851992 0.000000\n", "2922 2016-02-07 1.205344 0.963327\n", "2923 2016-02-08 1.851992 0.991010" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "m = Prophet(holidays=holidays, holidays_prior_scale=0.05).fit(df)\n", "forecast = m.predict(future)\n", "forecast[(forecast['playoff'] + forecast['superbowl']).abs() > 0][\n", " ['ds', 'playoff', 'superbowl']][-10:]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The magnitude of the holiday effect has been reduced compared to before, especially for superbowls, which had the fewest observations. There is a parameter `seasonality_prior_scale` which similarly adjusts the extent to which the seasonality model will fit the data.\n", "\n", "Prior scales can be set separately for individual holidays by including a column `prior_scale` in the holidays dataframe. Prior scales for individual seasonalities can be passed as an argument to `add_seasonality`. For instance, the prior scale for just weekly seasonality can be set using:" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": true }, "outputs": [], "source": [ "%%R\n", "m <- prophet()\n", "m <- add_seasonality(\n", " m, name='weekly', period=7, fourier.order=3, prior.scale=0.1)" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "output_hidden": true }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "m = Prophet()\n", "m.add_seasonality(\n", " name='weekly', period=7, fourier_order=3, prior_scale=0.1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "### Additional regressors\n", "Additional regressors can be added to the linear part of the model using the `add_regressor` method or function. A column with the regressor value will need to be present in both the fitting and prediction dataframes. For example, we can add an additional effect on Sundays during the NFL season. On the components plot, this effect will show up in the 'extra_regressors' plot:" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "output_hidden": true }, "outputs": [ { "data": { "text/plain": [ "Initial log joint probability = -19.4685\n", "Optimization terminated normally: \n", " Convergence detected: relative gradient magnitude is below tolerance\n" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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flU0QxMmTJ0+fPi0Wi/v169ehQwerHKy62lbPN5fLpShKp2vuLHSXsyumbL/e\nS+n5zbDWEttfrc3j8R6OTDScyWx+ZW9aQm7loZfaySX2TmUOh8PlcrVall020rSmppe1zmo7Y2NT\n46y2KFTpvjmb9euV+0PCvd7q1TJcIbHizi04HA6Hw8FZXZter3d1da29pZ5gLisr+/nnn99++22r\nH545t0s9QZlGP//gnXsPtGtHhbb2su00HU24BN9oMv/rcGZKoWrXxEhPEQ3rsOJ2KbvB7VJ24wy3\nSzVciUa/6vL93/4u7B/i8Xq8v3VnK8LtUvV6+u1Sbm5uGzduvHv3ru2KYDJPMW/j2PDxbb2GrE/d\nyrBhbaPJ/MqB22lF6t00pTIAODwvMW9pnxYJc+ICXAVDNqTM2JvOootvHEM9L+4cDicyMjIuLi4+\nPl4i+WcoY8eOHfYtjE4kSczv4t85wHXm3vQLOZWfD1CKePV/GG9PBpN5zr6M7ArtrokRbkKkMgDY\nkJeYt6RP0Ctd/H74K3/ohpTewW6LegRiXRz7cNKZvxqorNowd1/G/SrdmmfDwrysf2l6w4dH9EbT\ny79nFKr1W8eFuwroTGUMZdsNhrLtBkPZT1am0f/wV/4vfxf2DHZb1D0gUtH0eMZQdr0aNPPX5s2b\nu9WyevVq2xXEZJ4i7pZxbUZHyAavT9mRUkxXGTqjacbejGK1fvv4NvSmMgA4IU8x753eQVfmxLX2\nEo3clPrirlvXC1n23otd6r7Kt2nThiCI7OzskydPWrYYDAZ3d3d718UYJEn8Kz6gS6Dby7+nX8iu\n/HRASyHXrsPaOqN52u50tc64fUKEmAEj6gDgnDxE3Ld7Bs7u5PtTQv6ozTe6Brou6h4Q42P9K7eh\n7lB2aWkpQRBz5879/vvvH250d3fncKxw7xDrhrJrK9UY5uxLL1TpfxndupWndaakfurwiNZonrLz\npsFk3jg2nAmfcxMYyrYjDGXbDYayG6uixvDzlYKfE/I7Bbgs6h4Q5ytt4C9iKLtedYayH3sfsy2w\nOpgJgjCZzcsv3l91+f7nA1qOifR6+i88zZOf7BqDafLOWyRJrB/T2s7d9CdAMNsNgtluEMxNU6k1\nrL5S8FNCfns/6aLuAe39XJ76KwjmejXoM2aoF0WSC+L9141pvfTkvYWHM7VGG76n0ehNz2+/yaWI\nDWPDmZPKAAAPuQq4C7sFXJ3TrlOA6/M7bk3YlnYlj2XvI5kJr/iN1i3I9fT06PibuLgAACAASURB\nVHsV2kHrkjNtM/O7WmecsC1NwuesGxMu4JC2OAQAgFW4CDgL4v2vzonrEugyacfNcdvS/spFPDcL\ngrkpvMS87ePDh4bJBvx2fW9aqXV3XqU1jtuW5inmrh0VykcqAwAbSPmcf8UH/D23Xfcg1ym7bj63\nNe0y4rmpEMxNRJHkou4Bv44Oe+fY3Tf/uKuz0rB2pdYwbluaj5S/emQon4NnBwDYRMLnvNrV/+qc\ndr2C3abuujV6842LOSz7OJkJ8NLfLD1auJ2aHpNRWj14/fXmL2j6oMYwdktakJvgp5GhPKQyALCT\nhM95pYvf1bnt+rVyn74n/dlNqeezEc+NgFf/5lJIeDsntBkQ4jHgt+v7b5U1eT9lGv2YLTdCZaLv\nh4dwKYxgAwC7iXnU3M5+V+e0GxTm+fLe9BEbU8/eY9l173RBMFsBhyLf6hG45tnQt/7I/PexrCYM\na5dqDKO33IhUiL8b1oqDVAYARyHiUbM7+l6d225YuOfcfbcH/nLt5G0rX5fjeHAfszUVqnQv/56h\n0Zs+fCb44XwgFEk8bh5NkUhUXV2t0Rtn/Z7RwV/65SAlRTI9lXEfs93gPma7wX3M9qE1mjdfL/32\nfLa/C/+NHoF9WrrRXVFD2fk+5qZPvLxz587Lly8TBKFSqTp16jRt2jSCIEpKShYuXKhQKAiCWLBg\ngZ+fX/OqZRlvKX/3xIhl53JfOZDxcKNGb9I/sQ+t0RunxPl80i+Y8aEMANB0Ag45u7P/7Pjg78/e\nXnDojp8rf1G3gL5K553y+XGs0GNetWrVmDFjfHx8CIJIS0tLTk4eP358vY90+B5zY7HuDS+BHrMd\nocdsN+gx283Dmb90RvPGxMIVl+77SPkLu/v3b+VBd2mPlZSvsoxuWr6NafD8ow1ntR6zRXZ2tkgk\nsqQyQRCFhYX3799fuXJlVFRU7969LRvVarXRaKQoirRxl9DW+7c6kiRZV7MF68pmY1OT/4/uQhqH\nvTWztGy6q2gcS8EkSQq45PQOvpPjvLckF7/1x91l4tw3egT2b+XBnD8oKV9l+aLO6WGHNm9uj/nr\nr7+eOXOmi8s/U6T+9ddfFRUVcXFxy5cvf+6556KjowmCGDNmzL179xQKxaFDh6xQMgAAOBC90fRr\nQs6nJ27LxLwlA8KGR/jQFc9Xcx489THtA6089q7RaMTi/1niulnBrFarv/3223feeefRH506daq0\ntHTs2LG1N2Iouw6WjkRhKNs+MJRtNxjKtpsnLGKhN5q2p5R8/me2hM9Z3KfF4FBPW8fzwz7xU7Fp\nKPvq1auWPvFDW7ZsiYiIiImJyc7ODgkJac7OAQDAefA41KQYxbgor52ppf/+4+77J7Mmx3p3D3Ij\nSetkYcNjmHbNCuaEhIRx48ZZvk5PTz969Oj48eO//vrrnTt3ymSyrl27WqNCAABwFjwONTFa/lyU\n1zfnctZcKdhwrfCFOB+T2VzvraRPDWwWhXFtuI+ZTiwdicJQtn1gKNtuMJRtN41aj/laXtXxzAeb\nk4t4FPlCjHePYFe6Znpg01A2AACAjcT5u8T5u/RTup/Kqlh3rXB9YuELMYpeLd2YPxFTMyGYAQCA\nueL8XSiK7NPS7fTdig1JRRuSil6IUfQOdqMcd/ZizJUNAACMFuMrpUiyr9J9zbOhk2MUm5OLpu/N\nOH6n3GSy30ex9oRgBgAAprN8skuRZB+l+88jQ6e18952vfilvelHb5cbHS6eMZQNAAAsYMnmpHwV\nRZI9g926t3A9n1214VrBxqSiF6Llz7TycJil+dBjBgAA1nh4UTRFkj1auP40MuzlDr670kqm7U4/\nklFmMJnoLc8qEMwAAMAmtW9YIkmiewvXH4eHze7k+3ta6dRd6YfTWR/PGMoGAACWifGV1p48hCSJ\n+CDXroGul3IqNyQWbkwqej5GMSDEnUexsvOJYAYAAPapk80EQZAk0TXItUug6+Xcyo1JRZuSiia2\nVQwKY188I5gBAICVHs1mgiBIkugS6Nol0PWv3KoNiUVbkosmtJUPbu3JY8+lYQhmAABgq3qz2aJT\ngEunAJeEvKoNSUVbrheNj5IPCZfx2RDPCGYAAGCxJ2QzQRAd/V06+rtcvV+1PrFoa0rx+CjF0NYe\nfA6jB7cRzAAAwG5PzmaCINr7ubT3c/n7ftWGxKIt14smtJUPa+3J2HhGMAMAAOs9NZsJgmjn59LO\nzyUxX7X+WtHW5KLx0YphYZ4CLuPiGcEMAACOoCHZTBBErK801leaVKDekFi4NbloXJR8eLhMyKR4\ntut6zLZbOpTH41EUpdVqbbR/G+Hz+Tqdju4qGofL5XK53JqaGroLaRyWNjWHw8FZbQccDofH4+Gs\ntgM7vIBcy2vQYs8WyfmqtVfy7pZVT4zxeTZSIeLVH888Hk+v11u+jvN3tUKVtRgMBjc3t9pb7Npj\nfrjQtC1wuVyb7t8WKIpiXc0CgYCNZbOxZqFQSNj4v8YW2NjUfD6fw+Gwrmw2NrVAICBJ0qZlh3vy\nGtJvtmjtyftiQHBKkWZDYuGmxPznIr1GtvF6NJ5rd/zs0OYM6rwDAAA0X+05OxsiSiH+fEDLD58J\nTixQT9pxc3NykUZP56SeCGYAAHA0jc1mgiAiFOLPBrT8qF9wSoH6hZ03NyUVaXT0xDOCGQAAHFAT\nspkgiAiF+JMBLT/pF5xapH5h580NiUVqndHqtT0ZghkAABxT07KZIIhwufiT/i0/GxCcXqp5Yeet\ntQl5KjvGM4IZAAAcVpOzmSCIMC/xh88EfzGwZXqx+oWdt9ZdK6yySzwjmAEAwJE1J5sJggiViT4f\nEvbloJaZ5TVTd92qtv11YZhgBAAAHFwD5x55ghBP0ft9W5Rp9I+719mK0GMGAADH18x+s4WnmNf8\nnTwVghkAAIBBEMwAAOAUrNJptgMEMwAAOAtWZDOCGQAAnAjzsxnBDAAAzoXh2YxgBgAAp8PkbEYw\nAwCAM2JsNjd9gpGdO3devnyZIAiVStWpU6dp06YRBGEwGFasWKFSqYKCgqZOnWqtKgEAAKyu+ROP\n2ELTe8xjx45dtmzZsmXLoqKiBg8ebNl46dIlPz+/JUuW5Ofn5+bmWqlIAAAAm2Bgv7m5Q9nZ2dki\nkcjHx8fybUZGhlKpJAhCqVRmZGQ0tzoAAAAbY1o2N3eu7J07d86cOfPhtxqNxsvLiyAImUymUv0z\nPjB37ty8vDyZTLZ69epmHu5xSJIkSdLDw8NG+7cRiqL4fD7dVTQOmtpu0NR2g6a2G8Y2dW8Pj79z\nKx73U5Ikebx/JuP08HCz7qFramrqbGlWMKvV6urqahcXl4dbxGJxaWmpUqksLS1VKBSWjYsWLdJq\ntTwer6qqqjmHewKBQMDhcDQajY32byMikai6upruKhqHx+MJBIKH77rYgo1NzefzeTyeWq2mu5DG\nYWNT46y2Gyaf1aFuVOL9+kNKIBBotVrL11VVVr5o2mQySSSS2luaFcxXr16Njo6uvSU0NDQrK6tj\nx47Z2dnx8fGWjZbBbYIgSkpKmnO4J+DxeBRFGQwGG+3fRkwmE+tq5nA4ZrOZdWWzsam5XC4by2Zj\nzRRF4ay2Dw6Hw+VyGVt2lEJU77VgZrPZaPxnJWY7FN+s5E9ISIiNjbV8nZ6evnLlyi5duuTl5S1b\ntkyhUAQGBlqjQgAAACdCms1mux3Mdj1mkUjE5XJtN1RuIxKJhJlDOk8gEAiEQmFFxWM/jGEmNja1\nUCi06QdANsLGpubz+SKRCGe1HQgEAoFAUFlZSXchT/Jop7n2pwa2uFLMcm3WQ5hgBAAA4L9ov0gb\nwQwAAPA/6M1mBDMAAACDIJgBAADqorHTjGAGAACoB13ZjGAGAACoHy3ZjGAGAABgEAQzAADAY9m/\n04xgBgAAeJI4f1d7Hg7BDAAA8BT27DcjmAEAAJ7ObtmMYAYAAGgQ+2QzghkAAIBBEMwAAAAMgmAG\nAABgELuux/xwPUur43K5FEXpdDob7d9GeDyeXq+nu4rG4XA4XC5Xq9XSXUjjsLGpcVbbDc5qu+Fw\nOBwOB2d1bXq93tX1f27H4troSPWy3ZreIpGIy+Wybs1wlq5zTpIk68pmY1MLhUIej8e6stnY1Hw+\nXyQSsa5sNja1QCAQCASsK9vOTY2hbAAAAAZBMAMAADAIghkAAIBB7Hrxl+0cPHjw1q1br7/+Ot2F\nOL4LFy4cPnz4ww8/pLsQx3f06NHExMQ333yT7kIcX0JCwq5duz777DO6C3F8p06dOn/+/Lvvvkt3\nIYzmID1mlUpVXl5OdxVOobq6uqSkhO4qnIJKpSotLaW7CqdQXV1dXFxMdxVOQaPR4Kx+KgcJZqlU\n6uHhQXcVTkEkEnl5edFdhVOQSqUymYzuKpyCSCSSy+V0V+EUxGIxzuqncpChbAAAAMfgID1mAAAA\nx2DXCUaaSaPRfPrppwaDQSKRvPnmmxRFrVixQqVSBQUFTZ061WAw1P5Wo9F89tlnRqNRLpe/9tpr\nJEnSXT6bPLmpLY/56KOPFi1aJBQK67Q8nXWzUKOaus6D+Xw+rbWzTKOa2vJtUlLSyZMnFyxYQFvR\n7NSopjabzatXry4qKnJ1dZ0/fz5eqwmC4Lz33nt019BQR48e9fLymj9/fl5eXklJSUFBgdlsnjdv\n3uHDh1u2bJmSklL72ytXrshksldeeeXixYsymQyfajTKk5uaoqh33nknOTn5ueee43K5Fy5cqP3T\nOnPLwZM1qqnrPFipVNJdPps0qqkJgtBoNKtWrZJIJF27dqW7dpZpVFNfuXKlqqrqlVde0el0AoFA\nKrXTmsdMxqah7NDQ0N69exMEIZVKeTxeRkaG5YVJqVRmZGTU+VYul2dnZ5eXl5eUlLi7u9NbOes8\nuamlUunnn38eHR1teXCdn9JXNSs1qqnrPJi2otmpUU1NEMS6devGjh1LV7Ws1qimvnHjhtFoXLFi\nRXV1tY+PD41lMwebgjksLEwmkyUkJFy4cKFjx44ajcZyebBMJlOpVHW+DQkJyczM/OKLL7hcLi7Y\nbqwnNzVBEBRFPRxxevSn0HCNauo6D6azbhZqVFMnJCR4e3sHBQXRWTFrNaqpVSpVQUHBhAkTLl++\nfO3aNTrrZgw2BTNBEDt27Dh37ty7774rFovFYrHlfrjS0lKpVFrn2+3bt0+ZMuXTTz+NiYk5ffo0\nzXWz0BOaus4jn/xTeKqGN3WdB9u9UtZreFPv3bs3NTV11apVKSkpf/zxBx3FslvDm1oikfTr10+h\nUPTo0ePOnTt0FMs4bArmixcvqlSqBQsWSCQSgiBCQ0OzsrIIgsjOzg4JCanzrV6vt9wJZjKZDAYD\nnXWz0JObus6Dn/xTeLJGNXWdB0OjNKqpP/7448WLF8+bNy8qKmrgwIH2r5bVGtXUISEht2/fJgji\n7t273t7edi+Widh08dfBgwdTUlLOnDlz/PhxgUDQtWvXEydOnD17VqFQ9OzZ08/Pr/a3LVq0WLdu\n3ZkzZyoqKiZNmmS5mgMa6MlNbXnMqVOnevbsyeVy67Q8vZWzTqOaus6DW7RoQW/x7NKoprZ8q1ar\nk5OTcfFXYzX2BeTQoUOHDh0ym83jxo2jKDZ1F20EE4wAAAAwCN6bAAAAMAiCGQAAgEEQzAAAAAyC\nYAYAAGAQBDMAAACDIJgBnMvnn3++fPlyuqsAgMdCMAMAADAIghnA8en1+jlz5gQHB3fu3Dk5OZkg\niMrKyuHDhwcGBoaGhp48eZLuAgHgvxDMAI5v7dq1WVlZ6enp+/fvP3fuHEEQmzZt8vDwyMnJ+eGH\nH/bt20d3gQDwXwhmAMd35syZuXPn8vl8hUIxbtw4giDi4+PPnj27ePFiqVT67bff0l0gAPwXghnA\n8dVeZY/D4RAEERMTc+3aNX9///fee2/06NG0VgcA/wNzZQM4vp9//nn//v179uyprKzs1KnT/Pnz\nKyoqjEbj+++/n5+fHxYWVllZ+TC5AYBeWHMJwPFNmzbt2rVrrVu3lsvlkydP9vDwGDFixIQJE9at\nW8fj8b777jukMgBzoMcMAADAIPiMGQAAgEEQzAAAAAyCYAYAAGAQBDMAAACDIJgBAAAYBMEMAADA\nIAhmAAAABkEwAwAAMAiCGQAAgEGsOSWnwWBYsWKFSqUKCgqaOnVq7R8lJSWdPHlywYIFdX5FrVZb\nsQCrsEzxbzQa6S7E3kiS5HK5er2e7kJowOVyTSaTyWSiuxB7oyiKoiiDwUB3ITTg8XgGg8EJpz50\n2pc4giD4fL5Op6O7inpIJJLa31ozmC9duuTn5zdhwoRPP/00Nzc3ICDAsl2j0WzZskWhUDz6K9XV\n1VYswCqkUqnJZGJgYbbG4XCEQmFlZSXdhdDAzc1Nq9Uy8z/WpgQCgVAodMKznSAIkUikVqudMJ/E\nYjFFUU74pJMkKZFIKioq6C6kHjYM5oyMjMjISIIglEplRkbGw2Bet27d2LFj//zzz4ePtPw/1F6K\njmkYW5jtWP5kJ/zDLUiSdOa/ne4S6IEn3amw6CXOmsGs0Wi8vLwIgpDJZCqVyrIxISHB29s7KCio\n9iOnTJly7949hUJx6NAhKxZgRWKxmO4S6CGTyegugR48Ho/uEmjjtE+6u7s73SXQRigU0l0CPRh4\ntms0mjpbrBnMYrG4tLRUqVSWlpY+HLjeu3evUChMSkrKycn5448/Bg4cSBDErl27LD8tKSmxYgFW\nYRnKfrSlHB6Hw3FzcysrK6O7EBq4ublVV1c77VA2Mwf3bM3T09OyKDXdhdibZSj7Yd/JeZAkKZPJ\nGBg6xCNdQWsGc2hoaFZWVseOHbOzs+Pj4y0bP/74Y4IgioqKNm7caEllAAAAeBxr3i7VpUuXvLy8\nZcuWKRSKwMDA9PT0lStXWnH/AAAADo+k924BBo4qYCib7kJogKFsuguhAYay6S7E3pg8lG25POsh\nTDAC/zh+p9z7vWPbrhfTXQgAgFNDMANBEESpxvDKvvQ58S2+OJszeeetIrUzTjMCAMAECGYgCIJ4\n48idAaGe7w0IOzczNsxL1H114vrEQrqLAgBwRghmINYnFiYXqj8ZoCQIQsSjFvcOWj0y9JsLeZN2\n3CxUOd3HrgAA9EIwO7usBzUfnMr+YXiolM95uLFXS/c/p8f4SPm91yYfuOWMl4MBANAFwezUDCbz\nnH23X+7g0zHApc6PXAScrwYrvx8R+s6xu9P3pJdVO+M6BwAA9odgdmpfnc/VG00L4v0f94A+Ld3O\nzoxxF3K7r048lI6uMwCAzSGYnVdCXtVPCfk/jQzjcZ50GrgKuF8NVq4YGvL20bvT96SXo+sMAGBL\nCGYnpdGbXtl/+4Nnglt5Nmgu+36t3M/O+Kfr/EdGua3LAwBwWghmJ/X20czWcvELMfUskv04bkLu\nV4OVnw1Uvnbo9rz9t1U6p5syCQDADhDMzuhQetmx2w++GqRswu8Ob+15bmasRm/suSbpzyxnnMoR\nAMCmEMxOp0ClW3DozophreSSJq5A7CXm/Tq69Xt9W8zcm77wcKYaXWcAAOtBMDsXs5lYcOjO6Eh5\n/1YezdzViHDZuZmxJRp9zzVJ57MrrVIeAAAgmJ3L6qv52RXaJb2DrLI3uYS3bkzrpX1bvLQnfeHh\nTI3eZJXdAgA4MwSzE7lVovnsz5yVw0JEPGs+7yPCZX9Ojy5U63quSbyYg64zAECzIJidhc5onr0v\n47Wu/nG+Uqvv3FvK3zg2/I3ugS/suPWfY3d1RjoX+QYAYDUEs7P45Ey2hMd5pbOf7Q4xvq389PTo\nWyXVfX9JvpbvdMuwAwBYBYLZKVzKqdqcXPTDiFAORdr0QIFugp0TIl7u6PPc1rQPT2ej6wwA0FgI\nZsdXUWOYsz/jk/4tA90EdjgcSRJTYr1PvhR9Na+q36/JyQVqOxwUAMBhkGYznX2a6upqGo9eLx6P\nZzabDQbHmRF66vYUndG0eWL0kx9GURSfz6+pqbHWcc1m4teref85nDGzc8DiZ5T8J87ITS+BQGAw\nGIxGp7shm8PhcLlcrVZLdyE0EAqFWq2W3hdAWnC5XJIk9Xo93YXYG0mSQqGQgaGj1+tdXV1rb+HS\nVYqFWs247pRUKjWZTBqNhu5CrGNHSvHZu2Vnpsc8tak5HA6Px7PuMzK+jXtn37avHrgTv7Jo1fDQ\nKG+xFXduRVwut6amRqfT0V2IvQkEApIkGfhvaAcCgaC6utoJ342JxWKKopzwSbcEMyv+cOZ2YqD5\n7lfp3j1xb9XwEA8Rbe/Agt2FeydFTIpVDNuY8sXZHKPJ6TooAACNgmB2WCazed7+289Hy3u0cKO3\nEookX+7ge2RK1LE7D4ZuSM0oZdxQEgAAcyCYHdZ3l+6XaPRv97TOJF/NFy4XH54SNSTMY9C6lBUX\n89B1BgCoF4LZMV0vVH97Ie+nkaECjm3vj2oULkW+2tX/wOTI32+WDt+UeqfMaheaAQA4DASzA9Ia\nzfP23/5Pr6AIORMvtmojFx+ZEjUoxGPAb9dXXMwzOd9lsQAAT4BgdkBLT2R5S/kz2vvQXchj8TjU\nq13990+O3JNWMmJj6t1ydJ0BAP6BYHY0pzIf7L5R8u0QJcmgMez6RcjFR16M7hzo2veX5J+v5KPn\nDABAIJgdTFm1Yf7BO8sGKv1d7THJV/MJOOTi3kE7JrT57e/C8dvT8iqdcaYLAIDaEMwOZdHhO88o\n3Ue2kdFdSON08Hc5NT2mrbek99rk9YmFdJcDAEAnBLPj2JBYmFSg/qhfMN2FNIWl67x5XPj3l++P\n35aWX+V0k3ABAFggmB1E1oOa905mrxwe4iLg0F1L03X0dzk9PSbKW9JrbRK6zgDgnBDMjsBgMs/Z\nd/vljj5dA12f/mhmE3Kpxb2DNowNX3np/vPbbxao0HUGAOeCYHYEX53P1RtNr8f7012I1XQOcDkx\nLdrXhd9nbfL+W2V0lwMAYD8IZta7lq9afaXgp5FhPAavq9gELgLOV4OV3w8PWXw8a/qe9LJqx1mI\nEwDgCRzqpdwJafSm2b9nLO0T1MpTSHctNtFH6f7njGh3Ibf76sSD6DoDgBNAMLPbv4/ebS0XT471\nprsQG3IVcL8arPxuWMi/j92dvie9HF1nAHBoCGYWO5RedvR2+VeDlHQXYg/PKN3PzoixdJ2PZKDr\nDAAOC8HMViUa/aIjmcuHtpJLeHTXYiduQu5Xg5XfDm216Mjd6XvSH9Sg6wwADgjBzEpmMzH/wO0R\n4bIBIR5012Jv/Vt5nJkeYzKb+/ySfObuA7rLAQCwMq4V92UwGFasWKFSqYKCgqZOnWrZqNFoPv30\nU4PBIJFI3nzzTT6fb8UjOq3VV/OzK7S/jGpNdyH0kIm5v45uve9m6ax9GUPDZB8800LCZ/G0KgAA\ntVmzx3zp0iU/P78lS5bk5+fn5uZaNp46dSo2NvbTTz9t1arVn3/+acXDOa1bJZrP/sxZOSxExHPq\nAY8R4bKzM2JLNPoea5LO3auguxwAAOuw5it7RkaGUqkkCEKpVGZkZFg2hoaG9u7dmyAIqVTK4znL\np6G2ozOaZ+/LeK2rf5yvlO5a6CeX8NaNaf1e3xbT96QvPJyp0ZvorggAoLmsOZSt0Wi8vLwIgpDJ\nZCqVyrIxLCyMIIiEhIQLFy4sXrzYsvH9998vLCx0d3d///33rViAVXA4HLPZzNj3EP8+fMtNJHhn\nQBsOZeX1lkmSJEnSzc3Nuru1g8md3fpH+M/dndr7l+Q1z7Xt0dKzsXvgcrkSiUQkEtmiPCajKIqi\nKDY+6c1HUZSLi4vZ+ZYBpyiKpf/pVsHAP1yrrbvcrTWDWSwWl5aWKpXK0tJShULxcPuOHTtyc3Pf\nffddsVhs2dK/f3+NRiMQCGpqaqxYgFUIhUKTyaTTMXGK5gv3KtZezjk3u4Nep9Vbe+cURYnFYgY+\nIw3hziM2j4/Yk1o0dv3fz0YoPhvUuHF+sVis0+kMBqe7zJvL5fL5fJY+6c3E5XK1Wq3J5HSjLHw+\nn6IoJ3zSSZLk8XgM/MMffeWxZjCHhoZmZWV17NgxOzs7Pj7esvHixYsqlWrBggW1H/nwpyUlJVYs\nwCp4PJ7JZHr0LQztKrWGmbtvfNI/2FtE2qI8DocjEokY+Ic33JAQt7bTov916E7Pn658N6xVw0f7\nhUKhXq9n5rsxW7PkE91V0EAikeh0OqPRSHch9mYZFHTCJ50kSalUyoo/nPPee+9Za19+fn4nTpw4\ne/asQqHo2bNnenr6li1biouLU1JSzpw5c/z4cYFA0KJFi9q/otForHV0a+Hz+WazWa+3eo+0uV49\neEcu4f2nV5CN9k9RlFAorK6uttH+7cNNyB0XJedxyFcO3KnQGrsGujZkzF8oFBoMBid8jeZyuU4b\nzJa3oU44lM3j8UiSdMK3oSRJisViBoYOQRAPh5MtSHrPSwb2mKVSqclkYtqTtzO15INT985Mj/EQ\nWXOQozYOh+Pm5lZW5iCTauVUaF89eKdUo/9uWEiMj+TJD3Zzc6uurnbClyqBQCAUCisqnPGadk9P\nz4qKCid8NyYWiymKengZkPMgSVImkzEwdAiCsFye9ZBT32/DFverdO8cz1o1PMR2qex4At0EuydG\nzOjgM3rzjQ9PZ+uMTvdRIgCwFIKZ6Uxm87z9t5+PlvdowbiLCRmOJIkpsd4nX4pOyK3q/+v164Vq\nuisCAHg6BDPTfXfpfolG/3ZPW3207PBauAv2ToqYFKsYvjH1w9PZenSdAYDZEMyMdr1Q/e2FvJ9G\nhgo4Vr5r2alQJPlyB98/Xow6m1UxbGNqRim7L3ADAMeGYGYurdE8b//tf/cKjJCLn/5oeJrWXuJD\nU6KGhnkOWpey4mKe0eR0l+MCACsgmJnrvZP3vKX8me196S7EcXAp8tWu/gcmR/5+s3T4ptTb6DoD\nAPMgmBnqVOaDXanF3w5RkhjDtrY2cvEfL7YdFOIxcF3Kiot5Jue7kxUANKwzxgAAIABJREFUmAzB\nzERl1Yb5B+8sG6j0dxXQXYtjsnSd90+O3JNWMnxj6p1SZt22DgDODMHMRAsO3emrdBvZRkZ3IQ4u\nQi7+48XoLoGuXVde/PZ8do0BF2wDAP0QzIyzMakotUj9Sf+WdBfiFPgccnHvoMPTOxzLKOvyU+KW\n5GJcFAYA9EIwM8u9B9qlJ+59NyxEyufQXYsTaR/gdnBq7PIhyp+v3O+5NmnfzVK6KwIA54VgZhCD\nyTx7X8bLHX26BrrSXYsz6tXS/cS06Ld6BH5w6t7g9SmXcqrorggAnBGCmUG+Pp+rN5pej/enuxDn\nRZHkiHDZhZdjJ0bLp+2+NXZrWloxrgsDALtCMDNFYr7q5ysFP44I5XHwpNCMz6GmxHpfmRPXyV86\naN31eftvF6icbuEpAKALMoARNHrT7H0ZS/oEhchEdNcC/5DwOW/2CLw0K07IpeJ/TvzwdHal1kB3\nUQDg+BDMjPDvo3eD3YWTY7zpLgTq8nXhfzVY+ceLbbPKazr+mLjiYp7WiMu2AcCG6g/m4uJiO9fh\nzA6llx29Xf7dsBBM8sVYoTLR2lFhm8a2Pn7nQZefrq1PLMRdVQBgI/UHc4cOHUaPHr1v3z69Xm/n\ngpxNiUa/6Ejm8qGt5BIe3bXAU3Twd9n3QuS3g5VrrhT0/iUZd1UBgC3UH8yZmZmzZs3avn17WFjY\n66+/npSUZOeynITZTMw/cHtEuGxAiAfdtUBD9Wrpfnp69Cud/d45ljV2a1pygZruigDAoZDmx8/g\nX1FRsWnTprfffpvD4SiVyu+++y4+Pt66h6+oqLDuDptPJBKZTCatVmuHY/14Oe+Xq/lnZrYT8ej/\nsJ/D4YjF4qoqZ7x5VyKR6HS6xo4PVetNP/2V9+35nN5KjyV9g5We7Ltwj8fj8fl8tdoZ31u4urqq\nVCqTyenmYRUIBBRFVVc73dJqJEm6uroyMHRMJpOHx//0zerPg82bN48cObJt27YpKSkHDhwoLS1d\ns2bNlClT7FKks7hVrPn4dNYPI1szIZWhCUQ86l/dAq/N7xTsIez589//OpBRhLuqAKDZuPVuPXny\n5CuvvNK3b18O55+JIePi4j755BOrH56Bn2ELBAKTyWTrwvRG0+y9N1/t4hetEDKkESxdB4YUY2dm\ns9lgMDTtb5dyiXd6BrwYI//mQl77VQnT2vn8q6u/i4AdM6pSFGU2m535STcajXQXYm88Ho9wyv90\nkiQJlvzhdYeyJ06cWO/jtmzZYovDl5SU2GK3zSGVSk0mk0Zj2/mePjiVfTm3ct+kSA7FlEuxORyO\nm5tbWVkZ3YXQwM3Nrbq6Wqdrbn/3ZrFm2bncc/cq5nX2m93Jl8/4uWIEAoFQKGTg4J4deHp6VlRU\nOGEwi8ViiqJUKhXdhdgbSZIymYyBoUMQhJeXV+1v6/aYZ8yYYcdinNSlnKoNiYUnX4pmTiqDVYTL\nxWtHhZ25++DD09mbk4v+0ytoeGsZ7oIDgEapG8zPPPMMQRBGo/HhIDZBEJcuXbJrUQ6tUmuYuz/j\nk/7BgW4CumsBm+jV0r1nsPv+W6Ufnc5edfn+kj4tugVhVRIAaKj6h9qef/55g8FAEERJScnMmTMn\nTJhg36oc2RtH7sb4SJ6LktNdCNgQSRIjwmXnZ8ZMilG8vDd97Na01CIshgEADVJ/MEdGRo4ZM+aH\nH36Ijo5WKBQ3btywc1mOamdqycWcyq8Ht6K7ELAHHoeaEuudMKddzxauIzamTt+Tnl1hj9vwAIDV\n6g/mJUuW9OjR46233jpx4sTHH38sFovtXJZDul+le+d41qrhIR6i+i+GB4ck5lGvdvVPmBMX7CHs\ntSZp4eHMUg0WwwCAx6qbEG+88cbDrxUKxbx589q3b08QxLJly+xal8Mxmc3z9t+e2Fbeo4Ub3bUA\nDTxF3MW9g56PVnxyJrvrz9de6ez3ckdfIZfpl20DgP3VDeaoqKh6v4ZmWnnpfolG/+9eQXQXAnRq\n5SlcOyrsWr7qg1PZa68WLOweMClagYvzAaC2um/YX/x/XC732rVrkyZNcnFxefHFF2kpzmFcL1R/\ncyHvp5GhAg5egoGI85XueT5ixdBWv/5d0HNtEhbDAIDa6v+wc+nSpQkJCVlZWSRJrlq16vLly59/\n/rmdK3MYWqN53v7bb/cMjJDjo3r4r14t3U8Eux24Vfb+yXs/JuQv6d2iS6AL3UUBAP3q/4hr69at\n27dv9/f353A4R44c2bZtm53LciTvnbznLeW/3MGX7kKAcSiSHBEuuzgrdkJb+dTdN8duTUsrxl1V\nAM6u/mCuvdJOTU2NSMS+ZXMY4lTmg12pxd8OUWL6J3gcPoeaEut9aVZcjI9kyPqUhYczC7EYBoAT\nqz+Y582bN2DAgLt37y5btqxHjx5z5syxc1mOoazaMP/gnWUDlf6umOQLnsJdyF3cO+j8y7EEQXT9\nOfHD09mVWtxVBeCMHrse88mTJ0+fPi0Wi/v169ehQwcbHZ6B84lbcRGL6XvSJXxqxdCQ5u/KDrCI\nRfMXsbCW9JLqz8/mnMuunNfJd3YnP77NrhnEIhZYxMJ5sGgRi8feRpmfn19ZWblo0aLs7GzbV+WA\nNiYVJearPu7Xku5CgH3CvERrR4VtHNP62J3yzj9dW59YaHrMG2gAcDz1B/PSpUs3bdp09OhRy1XZ\nb731lp3LYrt7D7RLT9z7blgIW9blBQbqGOCy/4Wobwcr11wp6L02+ejtcrorAgB7wFXZ1mcwmefs\nz5jZwSceawpBs/Vq6X7ypegZHXxeP5w5dmtacoGa7ooAwLZwVbb1fX0+V2cwLezmT3ch4CC4FDkl\n1jthdlzPFq5jttyYvic960EN3UUBgK3gqmwrS8xX/Xyl4McRoTwOpkEGaxLxqFe7+l+eFRvsIeyz\nNnnh4cxitZ7uogDA+uqf+WvRokXt2rU7ffq00Whcs2ZNA6/KNhgMK1asUKlUQUFBU6dOfcJGR6XR\nm2bvy1jSJyhEhjEGsAlPMW9x76Bpcd7fXMjr/NO1ae18FsT7S/m4lAHAcdTfq5s8eXJBQcH8+fPf\nfvvtht8rdenSJT8/vyVLluTn5+fm5j5ho6P6z7G7we7CyTHedBcCDi7ATfDVYOXByVE3izUdfvj7\n5yv5BhMu2wZwEPX3mPv163fixIn33nvP3d190KBBgwYNio+Pf+q+MjIyIiMjCYJQKpUZGRkBAQGP\n23js2LGqqiqRSNSjRw9r/jXWwOFwKIoSCoWN/cWDN0uO3n5waW5HkYhvi8JsjaIokiSb8Ic7AIqi\n+Hw+RbHs04e4QOGuyZ6n7pQtOZ7527WixX1bPhuhaNQcc1wut2lnuwMgSVIgEJhMJroLsTcul+uc\n/+kkSRIEwcA/3GCoO5VQ/cFsWWCqpKRk69atX3zxxUcffdSQ01ej0VjukpbJZA/vXq93Y3JycnFx\nsZubW9++fZv8x9gIRVFms5nH4zXqt4rVulf33/ppTKS/h8RGhdma5axt7B/uGEiS5HA4JDvnTR0Q\n7t2/tffulILFf9z+7mLuJ4PCerT0aODvWt6NOeeTThAEl8t93AxLDszJn3QG/uGPnoT1B/PcuXPP\nnj1LkmSvXr2++eabnj17NmTvYrG4tLRUqVSWlpYqFIonbFy4cKHlCwZOwtKEmb/MZuKlHTeHtfbs\n4S+sqqqyXW02ZZn5i731NwfTZv5qggHBkj4z2m65Xvz85sQIheT9vi0iFU9fzcwy85dzPumenp5q\ntRozfzkPyxgJM892F5f/WVmu/rG7pKSkmpqa7t27d+3atVOnTnK5vCG7Dg0NzcrKIggiOzs7JCTk\nCRsdzNq/C26XVS/pHUR3IeDUeBzq4V1VIzamTt+TnlOhpbsoAGi0+oP5/Pnz169fnzhxYmZmZrdu\n3Vq0aNGQfXXp0iUvL2/ZsmUKhSIwMDA9PX3lypV1Nlq1eEZIL6n+5Ez2jyNCJbgyFhhAwue82tX/\nr9lx3lJet9WJ/zl2t6IGi2EAsEn9i1hcvXr1zJkzp0+fTkxMbN++/cCBA2fPnm2Lw7N9KFtvNA3d\nkDokzONf8QG2LszWsIgFq4ey63W7tPrTP3PO3qt4pbPfrE5+gkcWw8AiFhjKdh4sWsSi/s+YZ82a\nNXDgwEWLFsXHx3O59T8GCIL49M9cHoec3wWTfAEThchEa0eF/X1f9cGpe2uvFizsHjApWsGhWHmN\nG4DzqD90r1y5Yuc62OhSTtWGxMKTL0XjlQ6YrJ2fdO+kyDN3Hyw9ee/nhIL/Y+8+45o62waA3yc7\nIZBAIOwVQKaAgooDRdS696Ba6259rNZH29pltXva2tbx1LZWbd17r4riQnFWFBQIe68wQ/Z4P6Tl\npQjKOMlJTq7/h/5oSM657lyGK+c+93g71mNCkIDooAAA7bKwiZvmo0Gpee2k+PMRPp48JtGxAPB8\nhs0w3o71+PhSwZg/0m4Vm+PYVAAAgsLcZW+fz4tw4c4I69B4dQDMAQXDJgQJbi6OnBQimH0w46WD\nGTk1cqKDAgC0BvePu+JwevXNwoYriyKIDgSATmNQKa9Gu04PdfrxZknslrtD/Byoeh2DinHof08r\noFKwlvuI81r8bMukNt+4YdMoTBrln2Ni7H9+plEpzWt3YwjxWP//R8aWQaH883IbOgU2egGgTVCY\nO624XvnehbzfJvfgs+DdA5bKnk37KN576QDvq4WNTTKZXK1Tav5e3U+l1cv/+Vmj0xfU/T0ZWo/0\n9Yr/H8PcqNI2r88tU2tV/7xEqdXL1dp/Xo6aVH//rNOjBmXbE7eYVIz9z9cCGgWzYfxdsCkYZtfy\nKwKL1rw6G5dBof7zM5tOYf5T4xk0Cof+z8sRavkNg89u+RWByrNTymQynU6n0emlqrbHZut07caM\nEKpXtjuiu0GpaW+xxCa1Vq1te7kxuVqnamfNc4Vaq9C0fUSVVi9Ttx2JVo+kbQUZ7cn79gVvdzu4\nDWemoLR0jk6vX3Yqe2a4MNabR3QsAHSXB4+5oA+PkOlS9QpNcwmSKrXNpUqu1ir/+R+VRtdccnQI\na2xRI+taTM5uVGqbvyPINTqV9v9/rpH//bSW1Vev1zeodDRabfMaxTZ0Cq2dIZwcBpXRzq+YtP//\nPtGKgE1v/n7QCo2CcZltv6rVF5FWeO3/ypZJa28I6tM9E0wWc+ud0qHbHn71gu+UEMc2XwWIBYW5\nczallErkmveHwCJfAHRLyy5uQjqfrHke81ejewzxsnn9VM7pzJpvR4ns2VAIzAvc4+mERxVN398o\n+XliwNMLNQAAgAWJ9eZdXRTOolGGbnt4vcAaV5gxZ1CYO0qp1S89mf3uYM8Qp+fvDQAAAGbOjknb\nPN7/k2HeC4+J37+Qp2rnzjcwPSjMHfXRxXwhl/FqtCvRgQAAAG4mBAkuzuv5pEo+bPvDtIpO7KoH\njAcKc4dczqs7/Lj6xzEiy9yxFwAA2uXBYx6ZGfJypHDi7vQNN0t01rdHtbmBwvx8NXLNslM534wU\nwewCAAApYRh6Ndr19MuhRx5XT9/3pLSRbBu6WBYozM+36lzuUF/epGBYXhgAQGZBTpzz88IjXblD\ntqYeSjfHXZisBBTm59idWvmgTPrFCF+iAwEAAKNjUrE1cV6/Te7xaVLBwqNZdbCZNxGgMD9LQZ1y\n7cWCjeP8bduf2g8AACQz2Id37ZUIBhUbuu3hjcIGosOxOlCY26XR6ZecFL8S7TLAy47oWAAAwKTs\nmLSfJgR8HO8970jm+xfyVNp2lhgFRgCFuV3rk4tVGt2bA92JDgQAAIgxIUhwcX54eqVs+PZHj6tg\nMpWJQGFu24My6S93y7dMCIANcAAA1syTxzw2K3R2pHDczjSYTGUamJ7Qd1kuN7vtYOl0ulSp6bsh\neflA74V9rOhymUKhMBgMhUJBdCAEYDKZGo3GCpdNplKpNBpNqVQSHQgBWCyWUqkk9g8gIWg0GoZh\narW6sy9Mr5DOP5AmtGX+MiXEzQLnjmIYxmKxzLDoqNVqO7t/3TAleO3ypqYmYgN4GpfLXXk83dOO\nkRDMN8PwjIdKpdLpdKtqcjMajaZQKFQqq5u7yWQyMQyzzqQzmUy5XG6F38Y4HA6FQulC0n242Lm5\nYd9cK+qz8eaXI3ynhlrYzlSGwmwR/9phU5HWruTWnMmsvrIwHBb5AgCAlgyTqQZ62S0/nXM5r+7L\nF3y5DJixgj+4gdparK994qIoRw6d6EAAAMAcxYv4VxdFSFW6IVtTbxc3Eh0OCUFhbo2CYX4C2D8K\nAADa5cCmbZ/S48N479mHMmAyFe6gMAMAAOgKw2SqtArZ8O2PnsBkKvxAYQYAANBFnjzm0Vkh00Id\nx+1M/+VumfUNcjcKKMwAAAC6jkrBlvd3PzwzePv9ioQDT8qlVje7AXdQmAEAAHRXpCs3aUG4vwMr\n7rfUM1k1RIdj2aAwAwAAwAGLRvlihO9P4wPeOZ+39GR2k8rq5ojjBQozAAAA3AwV8S8vjJCqtLFb\nU1OKYDJVV0BhBgAAgCcBh/b71MB3Yj1nH8r49HIhTKbqLCjMAAAA8JfQ0ylpQfitooZxO9Nzaqxx\nEf4ug8IMAADAKDx5zGMvhY4LdHhhxyOYTNVxUJgBAAAYC42CLe/vfmhm8LZ75Qn7H1fAZKoOgMIM\nAADAuHq5ci8vjPAXsON+e3gWJlM9DxRmAAAARmeYTPW/CQGrYDLV80BhBgAAYCJDfXmXF4Y3KLWD\nYWeq9kFhBgAAYDqOHPrOaYFvx3rOPJDx6eVCNUymegoUZgAAAKaW0NMpaWF4SlHDuF3pubUwmepf\noDADAAAggBePefyl0LE9HIZvf/jL3TKiwzEjNByPpdFoNmzYIJVKvby85s2bZ3hQJpN9+eWXGo3G\nxsbm7bffZjAYOJ4RAACA5TJMphrobffaieyLOXUbxvo5c6FG4HrFnJKS4ubmtnbt2rKysuLiYsOD\nSUlJkZGRX375pZ+f39WrV3E8HQAAABKIcrO9vDDCz4E1dNvD8+JaosMhHp5XzGKxODQ0FCEkEonE\nYrGHhwdCKCAgQCAQIIS4XC6dTjc8s6mpSavVUigUDMNwDABHZhuY8RiabIUNN8AwzJrbTnQIxICk\nmw8Og/rlC6JhfvbLT2XHZfC/He3HoeN8p9WC/sThWZhlMpmjoyNCSCAQSKVSw4M9evRACN25c+fG\njRtr1qwxPDhnzpyCggKhUHjmzBkcA8ARh8MhOgRiGL5FWaHmb41WyGqTzufziQ6BMCwWi+gQ2pAg\nEAwN8Vx0IPWF39N2zuoV7Yl/gszwX7tMJmv1CA6FOTExMT09PSYmhsPhSCQSkUgkkUiEQmHzEw4e\nPFhcXPzBBx80V7vDhw8bfqiuru5+APjicrk6ne7pd4r0qFQqj8erqbHGRXl4PJ5cLleprG6xQCaT\nyWKx6uvriQ6EAA4ODvX19Vqt1S1zweFwKBRK87WTuaEg9Nt40c7UimE/3Vzcx+XNgR5UCj7XuBiG\nCQQCMyw66KlLQRwK8/Dhw4cPH44QUqvV+fn5ffr0KSwsHDBggOG3N2/elEqlK1eu7P6JAAAAkB6G\noTmRzv097ZacECfl1f9vvL+vvTle3xsP9aOPPsLrWG5ubhcvXrx27ZpQKBw8eHBWVtbevXurqqrS\n0tKuXLmSmJjIZDK9vb1bvsQML0wZDIZer1er1UQHYmoUCoXFYsnlcqIDIQCLxdJoNFZ48USj0Wg0\nmlKpJDoQArDZbKVSqbe+DY/odDqGYebfPyTg0GdFCMsbVSvO5PLZtAgXbjcPiGEYh8Mxw6KDnrpi\nxoj9d2mGvQrQlU10IASArmyiAyEAdGUTHUhH3S1pfO1kdqjQ5rvRIgd213t5zbkr2zA8qxksMAIA\nAMB8RbvbXloQ7sCmDfr1wYUcq5hMBYUZAACAWeMyqN+NFn0z0nfZyew3z+bK1CRfXhsKMwAAAAsw\nLlBw/ZXIskbViB0PH5Y3ER2OEUFhBgAAYBmcbOi7pwct7uM6ec/jb64VaXXkHLsHhRkAAIDFMEym\nOjsn7Hx27fjd6fl1JNyZCgozAAAAC9PDkX1uTlicD2/E9kd/PKggOhycQWEGAABgeehUytuxnnum\nB228WTr/SGaNjDyLT0BhBgAAYKn6eBgmU9Fjt6Ym5tQRHQ4+oDADAACwYLZM6nejRV+NFC09KX7z\nbK7c8idTQWEGAABg8cYHOlx7JbKkQTlix6NHFZY9mQoKMwAAADIQ2tD3zgh+tY/LpN2WPZkKCjMA\nAACSMEymOjMn9Jy4dvyu9II6i9ygBQozAAAAUgl05JyfGxbnyxu+/aElTqaCwgwAAIBs/p5MNSNo\nw82ShUezauUaoiPqBCjMAAAAyKmPu+2lBeEsGmXotofXCyxme1MozAAAAEjLjknbPN5/TZzX/COZ\nP1zNJTqcDun6ptMAAACARZga6hjjaUfj2CJkAcPB4IoZAAAA+XnwmKEutkRH0SFQmAEAAAAzQnBX\nto2NDbEBPI1Go+n1ejMMzNgoFAqGYVbYcIQQlUplsVh0Op3oQEyNSqVSqVTrTDqGYWw2W6+31DUo\nuoxGo1nnJx3DMGSWRUetbr39BsGFuanJ7BZO43K5Op1OJpMRHYipUalUOp1uhhkxARqNplAoVCoV\n0YGYGpPJxDDMOpPOZDLlcrlWqyU6EFPjcDgUCsUKk45hGIvFsoiGQ1c2AAAAYEagMAMAAABmBAoz\nAAAAYEYIvsfs6OhIbABP++mnn5ycnKZNm0Z0IKZWWFj4xhtvbN++nehACLB69epx48b179+f6EBM\n7caNG2fPnv3000+JDoQAc+fO/fzzzz08PIgOxNQOHDhQW1u7ePFiogMxNalUOnHixGPHjhlGgZkz\nWGCktbq6OiaTSXQUBFCr1eXl5URHQYzq6mq5XE50FASQy+XV1dVER0GMsrKyp0fDWoOGhob6eotZ\nnBJHOp2upKSE6Cg6BApza3w+387OjugoCECn011cXIiOghiOjo5sNpvoKAjAZrPNsNfKNFxdXa1w\nghxCyM7OzgrHoiOEKBSKu7s70VF0CGaF0/gAAAAAswWDvwAAAAAzYi1d2Xq9fsuWLcXFxUqlMiYm\npuNjuy5dukSn02NjY40anvFcu3bt559//uOPPygUCkLop59+qq2tff/99zvyWotu+6ZNmyoqKvLy\n8jw8POh0+quvvurp6dnxl1tE2z/77LOZM2f6+fn9+eef165dM4zhWrJkyXfffcfhcJ5+fpcbZf7v\nRqt0+/r6BgQEdC1g82/ss2VlZX3xxRfN/9rfeecdLpeLEDp27BiLxRo1apThcUtvJurGX/VWzPCt\nsJbCfPfuXYTQ559/jhBavXr1oEGDrOd+KoPBePLkSWhoqF6vz83Ntbe3JzoiU1i2bBlC6NNPP33t\ntdcEAgHR4RhFSEhIVlaWn59fWlpabW2tWq1WqVR0Or3NqkxurdJ94cKF575ELpeTdWBBdHS04Q1p\nJpfLJ02aRFQ8RvLcv+qpqanZ2dlTp059+rVmnn1rKcx8Pl8sFj958iQoKMiQyJMnT7q6ukZHR+/d\nuzcyMrK4uDg3N5dOp1dUVLz11lsSiWTjxo0cDkelUg0fPrympmbLli0IISaTuXLlynXr1i1atEgg\nEKxZs+a9994z87+D/fr1S0lJCQ0NzcnJ8ff3l0gk9fX1GzZswDCMy+UuX7784sWLZG27Qatce3l5\nff/992q1WiAQLFu2LDs7+/Dhw1qtNioqqlevXhbU9pCQkHPnzo0ePbq6urp///4ZGRk6nS44OLip\nqallAysrK1s26sKFCy3TrVKpyPFutHLt2rUrV65oNJoPPvjg7NmzrT7s9+/fZ7FYo0ePJkdjn+HC\nhQuGxoaEhLBYrICAANI08+m/6q2ak5iYWFpaWl1dHRUV9XT2ExISzPatoH700UemPB9RBAKBt7f3\npUuXdu7cWVlZGRoamp2dbWtr6+bmlpaW5uLi0tDQIJPJ5s+fX1xcjBA6c+bMqFGjEhIS7ty54+np\nSaPRAgMDJ0+enJycHBAQwGQyCwsLBQLBgwcP4uPjiW7csxQWFjKZzIyMjLi4uLNnz/bu3VssFldW\nVvbs2XPOnDmPHj3S6XRKpZKUbUcIXb16tU+fPkVFRS1zff369bCwsLlz5xYVFVVXVz958iQyMnLm\nzJmlpaWXLl2yoLbz+fwDBw5EREQUFxf369fv4cOH9fX13t7eDx48aNnAVo3SaDQt033z5k1yvBvo\nn3RzOJzc3FylUvnGG28UFhbS6fS6urpWH3a5XL506dKzZ89abmPbI5FI9u/ff+/evaSkpMrKSg6H\nY2hsbm4ujUa7ePEiOZqJ2vqrXl5e3rI5QqHQxsaGz+e3mf1t27aZ7VthLVfMFRUVPj4+S5cuVSgU\nn3/++e3bt5t/pdPpDD+IRCKEEJvN1mq1FRUVwcHBCKHAwECEEJ/P37t3b1JSUmFhoV6vj46O3rBh\ng06nGzhwIBGt6TRfX9/8/Pzc3Nzx48cjhEpLSw3/1AIDA0tLS21sbEjc9pYMuS4rK8vNzU1NTUUI\n+fj4jBw5cufOnefOnRs1apRltZ1Go7HZbENlDQwMPHDgAIfDGTx4cGpqassGtmoU+vc/ddK8G60Y\nYm41Naj5w96jRw+EEGka20rLruwLFy4YGmtApmY+/Vc9MDCwZXNaPb9V9s35rbCWUdm3b99OTExE\nCLFYLD8/P7VaTaFQpFIpQigjI8PwnJbLwbi4uGRmZiKExGIxQuj48eNxcXFLliyxt7fX6/VcLlej\n0SQnJ/fr14+AxnReTEzM8ePHnZ2dDW10dnbOzs5GCInFYsNdGRK3HSHUKtdubm5RUVHLli3r3bu3\n4Xv0nDlz1qxZc/DgQYtre3Bw8MmTJ8PCwhgMBoVCqaysFAqFrRrYqlHo3+km07vREpVKbf756Q87\njUZDCJGmsc9maKwBmZr59F/1Vs1BCOn1+vayb85vhbV0Zfv6+p7Vc+T7AAAgAElEQVQ9e/bMmTPn\nz59nMpnTpk0TCAS7d+++deuWvb19UFBQXV0djUbz9vbOyclxdnaOiorasWPHnTt3mEymr6+vj4/P\n8ePH7969y+fzKysrw8LCGhsb6+vr4+LiiG7ZcxQWFhqGLG7ZsmXatGn29va3b9+ePXv2/v37b9y4\nodPppkyZkpeXR8q2o3/6Nt3d3Vvmunfv3vv3779+/bpUKh06dGhNTc2+ffvu3bsXFBQ0btw4y2q7\nWq1OTU1NSEhACFVWVmq12oEDB/r4+LRsoLe3d8tGKRSKlumOjo4mzbvRsivb0MaMjAx7e/vg4OA2\nP+wW3dj2SCSSnJycvn37Gv63+a0w/BAbG0uOZqK2/qozmcyWzQkODj506NDgwYNPnDjxdPZbfS7M\n6q2ABUa66OjRo0Kh0CI6fHAHbbfOtj/Nqt4NK2mslTSzIwh8K6ylKxtfSUlJaWlpMTExRAdCAGi7\ndbb9aVb1blhJY62kmR1B7FsBV8wAAACAGYErZgAAAMCMQGEGAAAAzAgUZgAAAMCMQGEGwAIolUoM\nw1xdXV1cXNzd3RctWmSYmtl98+fP7/Lq/638/vvvq1atwuVQAFgzKMwAWIyysrLy8vLs7Gwmkzlv\n3rzuH1Amk124cOHQoUPdPxQAAC9QmAGwMGw2e/369deuXSspKdHr9a+//rq7u3toaOiKFSv0ev2i\nRYv27NmDENJqtd7e3lVVVS1f+9FHH/n7+wcEBHzyyScIoWXLlkkkkgULFjQ/ITo6+v79+wihAQMG\nvPbaawih33//fc6cOQih7777TiQSBQUFNa9K9PQjBh9//HFCQkLLtTABAB1nLWtlA0AmTCYzJCQk\nMzOztrZWLBbn5+cjhEJDQ5csWZKQkLBp06ZZs2YlJiZGRUU5OTk1v8qwRtLDhw8RQkOHDu3Xr9/G\njRuTkpK2bdvW/JyRI0devnw5JCSkqqrq2rVrCKGrV6+OGjXq0qVL+/btu3v3Lp1OT0hI2L17t6ur\na6tHDEf47rvv7t+/f/jw4ZaLYgIAOg6umAGwVBiGhYWF7dy588KFC59//nl5eblCoYiPj//rr7/q\n6+t37tzZqrv78uXLc+fO5XA4HA5n9uzZly9ffvqYhsJ8586dESNGYBhWXV197dq1ESNGXL58uba2\nNiEhYcqUKfn5+Xfu3Hn6EYTQsWPHPv7441GjRrVcnxkA0Cnw4QHA8qhUqsePH/fo0ePmzZuLFi1a\nsGDB2LFjk5KSEEJUKnXcuHG7d+9OTk7evn17y1fp9frm7SswDGuzq3nAgAEPHjy4cuXKoEGDqFTq\nvn37+Hy+k5MTh8NZvHixYWyXVqvV6/Xffvttq0d2797t6el54sSJYcOGTZ8+3dHR0ehvBABkBFfM\nAFgYlUq1atWqQYMGubu7JyYmjh8//s0333R2dn7y5IlarUYIvfjii+++++7kyZPpdHrLFw4ZMmTX\nrl0KhUIul+/atavN1flpNFpUVNQvv/wSGxsbFxf3zTffjBo1CiE0bNiwPXv2NDY2qtXqF1544fjx\n408/ghCKiooKDg6eP3/+e++9Z4r3AgAygsIMgMXw9PT08PAQiUSNjY07duxACM2aNeuvv/6Kiop6\n4403li5dahiEZbjYnTt3bquXjxs3Li4uLiIiIiIiYtSoUWPGjGnzLIZK7OnpOXjw4OLi4pEjRyKE\n+vTpM3fu3D59+vj7+/fu3Xvq1KlPP9J8hNWrV1+4cCElJcUo7wIAZAdrZQNANn/99deiRYvu3btH\ndCAAgK6AK2YASOXAgQPTp0/fuHEj0YEAALoIrpgBAAAAMwJXzAAAAIAZgcIMAAAAmBEozAAAAIAZ\ngcIMAAAAmBEozAAAAIAZgcIMAAAAmBEozAAAAIAZgcIMAAAAmBEozAAAAIAZgcIMAAAAmBGC92Nu\namrC8WgUCoVCoWg0GhyPSRQqldrmdrkWh0xJQSTKC0KITqdrNBrSLMpLptQgyI55o9PpWq1Wp9Ph\ndUAbG5uW/0twYZbL5TgejclkslgsfI9JFBsbG3I0hExJQSTKC0LIkBfDFs4kQKbUIISYTKZarYbs\nmCcmk4nvZ6dVYYaubAAAAMCMQGEGAAAAzAgUZgAAAMCMQGEGAAAAzAgUZgAAAMCMQGEGAAAAzAjB\n06UskVanP5VZc/xJ9e0SaVWT2o5JDRFypoc5zQhzYlAxoqMDAABg2aAwd855ce3ai/lMGmVWhPCt\nWE8XLqNOobld1LDjr8qfbpf+MNqvj4ct0TECAACwYFCYO6pJpV11Pu9qfv3nw30mBAmwf66NHdg0\nkT0roafwjwcVLx7I2DDWb2ygA6GRAgAAsGBQmDskv07x8qFMkT3r+isRfFYbbxqGobm9nP0cWPOP\nZNGp2Av+9qYPEgAAAAnA4K/nSy1vGvtH2sQgwY4pgW1W5WaDvHm/TOqx9GR2VjV5Fp8DAABgSvgX\n5s8++0yhUDT/r0ajWb9+/SeffLJjxw7cz2UCd4obp+19vDrO661BHlgHhnYN9eUt7++26FiWSovb\n+uYAAACsB56FWSqVrlq16vbt2y0fTElJcXNzW7t2bVlZWXFxMY6nM4G7JY2zDmZ8PdJ3Vriw469a\n2s/Njkn94UaJ8QIDAABAVnjeY+ZyuV9//fXatWtbPigWi0NDQxFCIpFILBZ7eHgghI4ePdrQ0MDh\ncMaMGYNjADQajUKhsNlsXI72uLJp9qHMb8f2eDHCpbOv3TIldPDPd2b29ujhyOna2Wk0Gl4NIRa+\nSSEcafKCEMIwjMlk0mgkGWhCptQghCgUCmTHbOGbnad3xcU56xQKBft3h69MJnN0dEQICQQCqVRq\neLCioqKmpsbW1pZKpeJ+dlyOWVSnmPTHg9Xxopd6u3fh5UHOtktivD5KzNn/UmTXAsCrIYTDMSnm\ngGRtoVDIM8qETKlBkB3zhm92nt6p2uhfxzgcjkQiEYlEEolEKPy7Q/g///mP4Yfq6mocz2XY+re5\n/HdZvUIzYVf6jFDHl3s6dPloi6Mc+2wpvpxZFu3elZnNNjY2TU1NXTu1WcErKWaCNHlBCNHpdJLt\nx0ya1CCEaDQaZMdsGTs7Rv9GFhAQkJ+fjxAqLCz09/c39um6T63VLTwmDhNy3h/i1Z3j2DFpy2Pc\nvrxahFdgAAAArIERC3NWVtamTZtiYmJKSkrWrVsnFAo9PT2Ndzq8vHchX67W/jjWvyNjsJ9tfm+X\ntEpZajl5vicCAAAwNkyv1xN4emN0ZdfX13f5CFvvlv3vdtmFeeECDj6d/F9eLcytUfw6qUdnX0ia\nnp/uJ8WskCYvCCF7e3upVAqdpeaJz+c3NTVBdswT7tkxjMRqRp7BBd13vaD+q2vFO6cF4VWVEUKL\nolwv5NQV1SvxOiAAAAByg8L8t6J65SvHxN+P8QsVdnGCU5ucbOjjgwR/PKjE8ZgAAABIDAozQggp\ntfr5RzJfihCON8L+E3MihXtSK9SwEBgAAIAOgMKMEEJvn8vls+nvDTbK2LQ+7rZONvTz2XXGODgA\nAACSgcKM/nhQca2g/pcJ/lRKt8dht2N2pPPOBxVGOjgAAAAysfbCnF4p+ySpcNvkHg4cuvHOMjXE\n8UZhQ2UTSQZYAgAAMB6rLsx1Cs3LhzLWxHlFunKNeiJ7Nm2wD+/YEzznhgEAACAl6y3Mej367+mc\naHfbub2cTXC6aaGOh9OhMAMAAHgO6y3Mm2+V5tQofhjjZ5rTjQpwyKqW59Yqnv9UAAAAVsxKC/O9\n0sYfbpb8NjmAQzfRO8CmU0YG2J+A3mwAAADPZI2FuUamXnhU/Plwn8CubpbcNeMCBaezak15RgAA\nABbH6gqzXo9WnM2N9bZL6Olk4lMPE/GzqmWFsDwnAACA9lldYf75bllOjfzrkSLTn5pNp8SL7M9k\n1Zj+1AAAACyFdRXmB2XSddeKt07qYbJby62MDXQ4nSkh5NQAAAAsAm7bKHUN1v1Nj586WnvHlKq0\nrx4XrxnqFSK0wfGknTLcz/6/p7PrFFp79vPfeXzfHGJBW8wThmEkaw7RIeAG+wfRgeCGTG1BRv7s\nEFyYWSwWjkej0WgUCqW9Yy47/binq+2SAT44nrGzXFmojwfvalFTQvhzJk/TaDR83xyiPDspFoc0\neUEIYRjGYDCoVCrRgeCDTKlBkB3zRqFQcMyORqNp9QjBhVkul+N4NCaTSaFQ2jzmwbSqa3m1SQvC\n8T1jFwwT2Z1+XDEhwO7ZT2uvIRbnGUmxRGRqC4vFUiqVOG72TiwypQYhxGQyITtmy9jZsYp7zIX1\nyvcu5G8c59eRDmRje8HfPjGnDnaBBAAA0CbyF2aNTv+fE+L5vZxjvXlEx4IQQoGOHHs29W6plOhA\nAAAAmCPyF+b1ycVanf4d4+y13DXxIvtLObA9MwAAgDaQvDDfKW785W75lgkBNKPttdwFQ315SXlQ\nmAEAALSB+HuuxiNVaV87mf1RvLevvXmNBhzkzVt0LEsi0wg4ZH7/AbA2crVu+/3yk5k1D8qkGp3e\nk8cc5G23MMo1woWwKZrAEpG5MHyQmB8i5MyOEBIdSGu2TGqUm+3lvLqpoY5ExwIAwMel3LoVZ3IC\nBOwlfV37e9rRKFhOjfx8dt2M/U8Ge9t9McLXyYZOdIzAMpC2K/tMVs2F7Nr1o020q2NnxfvxoTcb\nANLYcqds8XHxFyN8Ds8MmRAkcLKh27Np0e62q4d43l4cacukDvkt9XZxI9FhAstAzsJc1aR+82zu\nD2P9zLaveIgP72p+PdFRAABw8Ovd8s0ppadfDhsXKHj6tzwWbf1ov0+H+cw8kHH8CazIC57PTOtW\nN604kzMuyGGEnz3RgbQr3NlGrtZlVct7OLKJjgUA0HUnMiTfXi86/lLosz/LU0MdPXjM2QczVFrd\n9DBTb20HLAsJr5j/eFCRLZF/HO9DdCDPQqVgA73trhXARTMAFiynRvHG2dytk3sEOT1/c/d+Hrb7\nEoLev5B/FraYA89EtsKcI5F9fKlw83h/ovaP6rhYbx4UZgAsl1qrW3Qsc0lf144vXhTlZvvb5B7L\nTuXA/WbwDOZevTpFo9PPP/DwlWiXaHdbomN5vsE+vOSCBq1OT3QgAICu2HSrjEWjrhzg3qlXDfbh\nfTvKd+7hzII6pZECA5aOVIVZodENEQneHNi5zwlRAgRsNp3yqKKJ6EAAAJ2WLZFvTCn5frSI0vm9\n/yaHOC6McnnpYEajUmuM2IClI1Vh5jKon44MoFMtplGDvHnXCxqIjgIA0GkfJOYvinLpyK3lNr05\n0CPQkb3kpFinhz4z0JrF1DBSGuhll1wIt5kBsDAXc+vSK2X/7d/1zjkMQxvH+RfXK7++VoRjYOSj\n0enrFBqFxly24zNNJHhOl9JoNBs2bJBKpV5eXvPmzTM8WF1d/eabbwqFQoTQypUr3dzccDyjpRvo\nbbfmYr5GpzerpbwBAM+g1ek/ulSwOs7LhkHtznE4dMof04JGbH/Y09mmzQnQ1uxJlWzvw8qLuXW5\nNQqNVocwzJPH7O9pNy3MaYiPXRduH+BCr0eLjmUNF9mviOcb9UR4FuaUlBQ3N7cXX3zxyy+/LC4u\n9vDwQAhVVVWNGTMmISEBxxORhg+fZcekPSxv6u3GJToWAECHHHlcjRCaEYbDerpePOavk3osOJrl\n58AO7mqvOMkU1CnXXMxPLmiYEeb45QjfMCHHgUNXaHRpFU1X8uvfPpfLplPeG+w5uoeD6WPbfr88\np0bxy0SjT0PHszCLxeLQ0FCEkEgkEovFhsJcUVFRWlq6adOmsLCwuLg4wzMfPnyoUCjodLpIJMIx\nACqVimEYnW5JC9LG+vBTSqT9vFuvhUKhUCyrIe2xxKQ8A2nyYkCjkWeJIdOkRqPTf5tc8tEwXyaD\ngcsBhwU4vjtEOfdw1qVFvezZ/58ODMOMkR2ZWqfR6eyYps57B7Pz653STy7lzY9y/XlyUMsg6XTU\n34fZ38dh1WCfg2mV713I359WvX5sgDMXnyx0xOPKps+vFJ2YE87jMPHNjk7Xunscz/TIZDJHR0eE\nkEAgkEqlhgc5HE5YWFivXr1+/PFHBweH8PBwhNCuXbvKysrs7e3Xr1+PYwAYhlEoFBsbS9rIZVig\n8PDD8vefiplCoVCp3eooMxOWmJRnIE1eEEIUCoXFYunJMvjINKn5/W4Jj01/Mcobx87Ut+J7PKlW\nzD+SeWZhdPPYVRyzk18jO/iw/EJW9cPyRkmTCun1XBY9RMgd0cNxdpS7v8AUV+rPzY5Co3vl4KPb\nhXUXF8f0crd7xjMX9ufO6O317pmMIb/+9cfMiKF+prgLIFNpFx65v2ZEwEB/Z4T3Z0ehULR6BMPx\nY7l9+/awsLA+ffrs379fKBQOHTq05W+TkpIkEsm0adNaPlhdXY3X2RFCTCaTxWLV11vScKq8WsWw\n7Q/FK/pQ/32b2cbGpqmJDDOpLDEpz0CavCCE7O3tpVKpWq0mOhB8mCA1Wp1+0NbU1UM8cb8lrNLq\npu597OfA/mHM3/vu8Pn8pqambmbnTnHj9zdKkgvrRwY4jPDj93LlutsxGVSstFH1qKLpQnbtsSeS\nWB/emjivAIFx1wZ+dnbqFZqXD2UyaZTfJgd0/Gr+RIbkjbO578Z6LIp2xSnMdr1+Krtapt4zPdjw\nhQyX7LRkuKZthueo7ICAgPz8fIRQYWGhv7+/4cG9e/empqYaHnR1NfrbZ3F87Vk2dGpapYzoQAAA\nz3Eqs4aKYWOMcHeTQaX8PiXwVnEjXoO0c2sVcw5nzj6U0deDm7os6peJAdPDnPwFbDadQqVgnjzm\nmB4O34/xe7C0d6CA/cKOR19fK9IQtNhRnUIzde9jNzvG7umBnepjnxAkODE79H+3y1ZfyDfqrLPd\nqZXXCxs2j/M32ZgzPAtzTExMSUnJunXrhEKhp6dnVlbWpk2bhg8fvm/fvjVr1tTW1vbv3x/H05FG\nfy+7m0UwmxkAc/fjzZLXY9yMNCTYgUM/kBC860Hlljtl3TmOUqv/6mrR8O0PAwTsu0t6rxjgwWe1\nW+14LNrqOK9LC8Iv59VP2J1eLlV159Rd0KDUTNv7OFhos3mcP6PzS1CEOHHOzglLLqxffFys0hpl\nIlNqedPaiwW/Tgxw4JhucAmeXdldAF3ZCKHt98sv59X/PjWw5YOk6TK10KS0hzR5QdCV3UlX8uqW\nn865u6SXUZcwyqqWT96TvizG/b0XgrvQWZpc2PDm2RxXW+a6kb7+nemd1uj0H10qOP5Esmt6UIQL\n/iNC2syOQqObvu+xqy1zywT/7nzdaVRqZx/KYNMo26cEsnHdJaFaph6x49HKAe5zIp1bPm5JXdmg\na/p72qUUN5JlCA4A5PTT7bJXol2NvbBgD0f20VmhW26Xvnsmo1N/E2pk6uWnsxcczfpvf48jM0M6\nVZURQjQK9tlwn3cGe07d+/hKXl3ngu4SrU7/yjGxDZ26eZxfNzshbJnU/QnBVAo2Y/9jHFc5VWr1\ncw5lDvfjt6rKJgCFmXiBjhyk12dUw21mAMxURpXsdknjnF5CE5yrhyP77Nyef2ZWz9ibJpFpnvt8\njU6/435F/18eqLX664siZoY7dbnMzY4Qbh7nv+Co+Ly4touH6LB3L+RVSFXbpgTi8l2HRaPsmNLD\nhcuYvCe9I2/ac+n0+mUnxTYM6pcjfLt/tM6Cwkw8DEMxnnYpcJsZAHP1693yWeFCk03/dbNlJC/r\n72rLGPjrXzsfVLS3B51Kq9v/qCp2a+rO1IodUwN/mhDgZNPd+6AjA+y3TQ5Yeir7jDE3jd6YUpKU\nW7dnRhCO+/PSqZQtEwIiXLjjd6UV13d3567ViQXZNfLfJgcQsiwjeZYXsGgxnnYpRY3ze7sQHQgA\noLUamfrw4+orCyNMeVI2nbphfI9JwQ5rEvO/Sy55sadTnC/fx57JolHqFdr0yqar+fUnMiSutox3\nYz0nBAlwHJE2xJe/fUqP+UeyaBTsBf/Wax9137Enkk0ppadfDnPEezgVlYJ9O0r0xdWiMTvT9iUE\nh3R1MbWPkwou5dSeejnM9CuxGEBhNgsxnrZbbpcSHQUAoA27UitjvXnefKbpTx3rzUtaEHG9sP7Y\nY8mKM9nF9UqlVm/HpAU6sWM87PZMD4p0NcpqvrHevK2TAhYeFW+dFDBUhOe60LeKG988m7t7elBn\n74J3EIah1UM8Xbn0ibvSN43zHxnQuS8WOr1+9YX8pLy6oy+Fdr/7ocugMJuFns429UptYb3Si0fA\nhx8A0B6NTr/tfsXGcX5EBYBhKNabF+vNM/F543z5Wyb6v3Jc/PvUwIFez1qKq+PEEvmcQxnfjvKN\n8bTF5YDtWRDl4mvPWnxCvKC3y6pBHtSOdUc3qbRLTmYX1yuPvxRqysU+nwb3mM0CjYJFu9veLITb\nzACYl3PiGi6DOsjL1HXRHIzws/9hjGju4czbxY3dP1q5VJWw/8ny/u6TQ3DY/+O5hor4f87reSm3\nbvyu9MwODK39q0wav+0hBUMnZxNclREUZvMR42F7qxgKMwDm5bd7FQujnAnaZpB44wIF344SvXQw\no5u1uUamnr7vydgeDkv7mW7nXx8+69TLofEi/qjf0967kF/W2PbyKSUNyjfO5kzd+3hxH9ftkwO7\nuZsnLqAr21zEeNq+fR7P5VYAAN2UUSV7WN60a1rg859KXpOCBQihWQczutynXSvXJBxIi3LjfjLM\nB+fgnodBpbw1yGN6mNO314v6bvlrkLfdUBE/UMDms+kNSk1mlSwpr/5aQf3kYMcbr0a6EH2h3AwK\ns7mIcrMtqFNKZBoBB5ICgFnYdr8ioaejOVxCEWtSsIBGQXMOZW4c59fZpcIlMs20fekRbrz1I/Hc\nkqtTvPnMjeP8Px7mc+KJJKW4Yd/DqgalhsugiuxZw/34P471w318eDdBDTAXbDol3MXmVnGDMZbI\nBwB0VqNSezCt6sK8nkQHYhbGBQrsmLSFR7PyahUd747OrVW8uP9JrDfvf1NC5DKC11ByYNPm9Xae\n19vUy3h1AdxjNiP9PGxv4THIAgDQffvTqqLdbY00q8cSDfbhnXo5dMf9igVHMusUz19d63Rmzeg/\n0mZFCL8bLTLSzh9kBYXZjPTzsIX1vwAwB3o92navfIElXF2ZUqAj59KCcAaNEvtr6sG0qvZW866Q\nql47mf3WudwtEwJW9Hc3bYxk0HZhrqqqMnEcACHUz9MurUImUxtl8zIAQMddya9TaHTGWPfK0tky\nqVsmBHw/xm/9jZIBvz74363SjCqZWqtDCElV2qTcuhVncvpu+YtNoyS/GjnU1xqnmXVf2/eYo6Oj\no6Ki5s2bN3r0aDrdvO6Kk5gDm+Zrz7pX2mj6xQQAAC1tu18xr5dzBxemsELD/fjxoojz4tpD6dU/\n3CyplWtYNIpSqwty5Lzgb3/tlUhYK6k72t6PWavVJiYm7ty5Mzk5efLkyXPnzo2IMMo6sXK5HMej\nUalUGo2mVHZ3+XICLTv2xNWOuTpeRKfTybFRLgmS0hJp8oIQYjKZarVapyNJDw2OqSmolUdvTMl4\na5CAuMG6lpWdBoVGqtIKOHQmre1eWDJ9cBDe2VGr1XZ2/5qH1nZhNqivr9+9e/e7775LpVJFItHG\njRsHDBiASxzNqqvxnLnLZDJZLFZ9fT2OxzSxA2lV+x9VHZ4ZYuxd302GBElpiTR5QQjZ29tLpVLS\n/LnEMTWfJBVWy1QbxvrjcrSu4fP5TU1NkB3zhHt2HB3/tRpa299u9uzZM3HixJ49e6alpZ06dUoi\nkWzdunXOnDl4BQHa09/T7m5Jo+GGDQDA9ORq3e6HlQujXIkOBFivtu8xX7p0admyZfHx8VTq3zPr\ne/Xq9cUXX5gwMCvlyWPas+lplbJBdsZd5B0A0KYDaVVBjuwIFxuiAwHWq3VhnjlzpuGHbdu2bdu2\nrfnxvXv3zpgxw3RxWbF+HrYpRY2D/GGeBgCmptejrffK3471JDoQYNVaF+ZFixYREgdoFuNpezmP\nJHdkAbAsSXl1TSrt6E5u4gsAvloX5mHDhtXU1Pzyyy/vvvsuIQGBGE+7r64WtT8mDwBgLD/dLnu1\njysNZkkBQrUx+IvH4+3atSsvL8/00QCEUJAjB2FYRhV5RjACYBGeVMnul0pfChcSHQiwdm0M/qJS\nqaGhob169RowYICNzd8jIA4ePGjawKwXhqF+HrbJ+XVeoXyiYwHAimxKKX05UmjLtPa9pADh2h6V\nvXz58uXLl5s4FNCsn4dtckHtTCjMAJhKSYPydFZNyuJIogMBoJ15zAMGDHB0dORyuVwul8lkfvXV\nVyYOy8oN8LK7nldLdBQAWJFNKaWTgwUuXAbRgQDQzhXzypUrz5w5U15e3qtXr8ePHy9btszEYVm5\nns429UptQZ3Smw/rzQJgdJVN6n2Pqi4uCCc6EAAQau+K+c8//0xPT1+5cuV333137969tLQ0E4dl\n5WgULMaLd6MQtoAEwBQ23iwZ08NBZM8iOhAAEGqvMNfV1SGE+vbte/XqVS8vLxihbXqxPvwbsDcz\nAMZX2aTelVr55iAPogMB4G9td2VPmTJl/PjxO3fufPvttysrK1utrw1MINbXfuvtYqKjAID81icX\njwsSwOUyMB9tXzFv3Ljx22+/dXJy+vXXX21sbDZv3mzisECUu51Epi6qJ8luiQCYp4I65YG0qnfg\nchmYk7YLM4ZhqampK1as6Nu3b2hoqJ+fn4nDAnQqpY+HXXIBrM0JgBF9klTwcqSzBw9GWQIz0nZX\n9ocffnjnzp38/HwMwzZv3nzr1q2vv/76ucfSaDQbNmyQSqVeXl7z5s17xoOgIwZ62d0oangR1iEC\nwDiuF9QnF9anLO5FdCAA/EvbV8z79u07cOCAu7s7lUo9d+7c/v37O3KslJQUNze3tWvXlpWVFRcX\nP+NB0BEDveySC2D8FwBGodbq3ruQ/0GcN5/V9vUJAERpu9EZzPYAACAASURBVDCrVCq1Wm34WaFQ\nsNnsjhxLLBaLRCKEkEgkEovFz3gQdEQvVxuJXFMIt5kBMILNt0pt6NRZ4U5EBwJAa21/VVy6dOkL\nL7xQW1u7bt263bt3L1mypCPHkslkhvHbAoFAKpU+48GpU6cWFBQIhcIzZ87g0Ih/I80YcjabPVgk\n+Kta29vP4ltEmqQghDr4PdUi8Hg8okPAU8dT86RCuulW+bVlA4ROdkYNqTusNjsWAcfsyGSyVo+0\nXZjfeuut3r17X758WavVbt26NTo6uiNH53A4EolEJBJJJBKhUPiMB//44w+tVkuhUCQSSVfb0gYm\nk8lkMhsayND9a2Nj09TU1N+dcza9ZJK/DdHhdB2DwWCxWORICvonL0RHgQ8+n9/U1NTcN2bpOp4a\nlVb/4h8PX49xdWOo8f0ThCOrzY5F4PF4MpkMx+xwOJyW/9t2Ya6qqoqPj4+Pj+/UoQMCAvLz8/v0\n6VNYWDhgwIBnPNi8aZVCoehc+M+k1+ub/2vp9Hq9Xq8f6GW3MaVEp9NjFr4/LDmSgv7JC9FR4IZM\nzel4W96/kGvHpC3r52bObdf/g+hA8EGmthgYtUVt32OOjo6eMmXKiRMnOvWNICYmpqSkZN26dUKh\n0NPTMysra9OmTa0exClsaxHmzNHqUWZ1644OAEDX7EqtPC+u/XVSAJVi4d92AXlhbdZ8rVabmJi4\nc+fO5OTkyZMnz507NyIiwhinr66uxvFoTCaTxWLV15Nh7m9zz8+CI5n9PO0W93ElOqIuIlNSELl6\n5Ozt7aVSqVV1lp4X1y49lX14ZkiEi7nfHoKubHOGe3ZajcJp+4qZSqWOHDly8+bNq1at2rp1a1xc\nXFRU1I0bN/AKAnTcUBE/KbeO6CgAsHinM2teO5m9dVKA+VdlYOXaLsx79uyZOHFiz54909LSTp06\nJZFItm7dOmfOHBMHBxBCcb78m0UNKi2pbs8AYEp6PfrfrdIVZ3J+n9ojzpdPdDgAPEfbg78uXbq0\nbNmy+Ph4KpVqeKRXr15ffPGFCQMDf/PkMd3smLeKG2K9STV3AgDTyK9TvHs+r7BeeWJ2aLAT5/kv\nAIBobRfmrVu3Pv3gjBkzjBwMaFucD+9yXj0UZgA6Tq9HqeXSHX9VHH8imdfbeduUQA697Q5CAMwN\nrEVnAeL9+J9fLlwT50V0IACYhcomdWmDsl6hqVdqmx9kMqVKpbJGpqloUmVVy++UNKq1+hk9na4u\nivCEPSqARYHCbAEGefFyahSljSo3WwbRsQBAjMom9Ykn1Yk5dffLpE0qnastnc+i8dn05idQqVSt\nVmvPojrZ0Ad5270e4xbuYkOx9BUAgFWCwmwB2HRKrDfvT3HtvN7OJjhdXq3i5ztlNwsbyqUqRxt6\nnA9/bi/nHo6kWk4PWBCxRL7uevE5cc1gH964IMEnw3z8BaynKy7JJuQAawaF2TIM9+Mn5hq9MKu1\nui+uFm2/XzEzXPjxMG9PHqtCqjqZWTPqj0evRru+OdCdToW7dMB0mlTaL64U7XlYOb+3y53/9HLm\nQo8RsApQmC3DC/72HyUVKDQ6Fs1YpbFeoZl1MAMhdH1RRPO+8X4OrAFedq9Eu7x2IvtRRdNvk3sY\nLwAAWnpU0bTgSFaAgH39lQh3O7hJDKwI/JG1DB48pi+fdTXfWOtn1cjUU/Y+9uazjr8U6vHUSBmR\nPevorBC1VjfncKZaqzNSDAA0O/K4etLux0v6uu6ZEQRVGVgbKMwWY2ygw6lMo+yEo9Lq5xzODHbi\nbBrnR2tnAWE2nbJrerBUqX3vQr4xYgCg2U+3y977M2/vjKAFUS5ExwIAAaAwW4zxQYLz2XUaHf5L\ngK04k8OgUr4fLXr2EFYGFftjWuCl3Lo9DytxjwEAg00ppT/dLj05O6yvhy3RsQBADCjMFiPYicNn\nUpMLcO7N3nG/4nZxw7YpPToysMuRQ98yIWDtxYL8Ojz36wTAYOvdsp/vlB2dFQqzAIA1g8JsScYF\nCU5n1eJ4wPRK2aeXC3+bHMhndXQYYF8P2wW9nZedzCbX5qqAeCcyJN9cLz7wYrCfA4voWAAgEhRm\nSzIxSHAioxqv4VdKrX7JCfHbsR6d3WznrUEetQrNbujQBvi5XypdeSb396mBsJw1AARPl7KxwXP/\nNSqVSqVS8T0mUeh0+tMN6e9nI+Tm3CxTjg50bPNVnfLZObGzLWvFEL/Oro5kg9DGiSEz9z6cFukh\n4NCf/WRTJqVOoblVWF/eqHDgMMKcub4O+HeHtpkXC4VhGIvFYjCInxxc2qCcdyRr3dgew4O6vu84\nmVKDEKJQKGaSHVxAdp7h6X2dCS7M+K7Uw2QyMQwjx+o/7S1jNDVEsPNu0WCP7pacOyWNv98tSVoQ\nLpfJuvDy3kJGvC/vw/OZX7/g++xnmiYp+XWKzy4XnhfXBjlx3GwZtXLNo4qmICfOmwM9hvvhuc0f\nmZaXYjAYCoUCx83eu0al1c3c83hCkMOUQF533lsypQYhRKfTzSE7eIHsdAosMGJhpoY4rk8ublRq\nbZnULh9EqdUvP52zZqjX01OWO+6DOK9Bv6Yu7O1C+DidX++Wf3GlcG4v5ztLern8sziUXK078rh6\n5ZmcaHfuj2P97JjwT91MfXixgIqhD4fCHi0A/A3uMVsYDx4z2t32UHpVdw7yzbUidzvmyxHdWuDT\n3Y75SrTLx0kF3TlIN2l1+hVncn6+U3p6TthH8d4uLZZsZNMpL0UIby6OpFGwkb+nwTBy83QqU3I8\nQ7J1UocmBQBgJeDDYHnm93bZfr+iyy9PLW/acb9i/WhR9/fdeT3G/W5J463ixu4eqEt0ev2Ks7np\nlbI/5/YMaWfEEJdB/WVijykhjhN3pefWQm02L0X1yjfO5m4e5w+LYAPQEhRmyzMqwL5OoblZ1NCF\n16q0uuWnst8d7OmFxw61tkzqf/u7f365sPuH6oIPLxakVUgPvhjs8MwBaBiGVg3ymN/becqex+VS\nlcnCA8+m1emXnBDPiXQeKsJzEAAAJACF2fLQKNicSOetd8u78Nrvb5RwmdSFUbjtUrUw2rWgTpGU\nZ6xFvNuzO7XyeIZk74zgDs7AXjHAY1ygw6wDGU0qrbFjAx3x/Y0SlVb/TqwH0YEAYHagMFuk+b1d\nkvLqxBJ5p171qKLp5ztlG8b647h7PJOKrRjg/vXVIrwO2BGPKprWXiz4Y2qgS2e6QD8Z5u3BY/73\nTA4sjUK4uyWNP90u2zIxAG4tA/A0+FRYJAGHNreX8/rk4o6/RKHR/eeE+N3Bnrgvq/RShLCiSZWY\nU4fvYdvTpNIuOpr13mCPSFdup15IwbBN4/zSKpp+vltmpNhARzSptK+dzP4w3ktkDyt8AdAGKMyW\n6rW+bufEtVnVHb1o/uhSgbsd85Wori/g0B4GlbJygPs310x00bzmYn6gE2dhlxpix6RtnxL4zbWi\nB2VS3AMDHbTmYn6gI2dOJG73UwAgGSjMlsrJhr6kr+u7f+Z15MlHH1efzJBsGOuHXx/2v7zY06la\npjbBRfOl3LqzWbXdGVIe7MT5YIjX4uNiuNlMiPPi2nPi2u/HiIgOBADzBYXZgv13gEdxg/JwevWz\nn/a4SrbqfN6vk3p06o5spzColBUD3NddN+5Fc6NSu/JMzjejRI7PWwf02eb3dvEXsD+8ROQMbOtU\nLVOvPJuzfnR3MwgAuUFhtmBMKvbNSN/3E/OfMUO3qF6ZsO/J+4M9B3jZGTWYF3s6VTWpL+Ya8aL5\nsyuFvdy44wMdunkcDEPfj/E7mSEx/WByK7fiTM7oAIdRAd3NIADkBoXZssX58hdHu845lFmn0Dz9\n22yJfPKe9NmRwgVRLsaOhEGl/Le/Ee803y5uPJJe/dXzlubuIKENfd0o0X9PZ9e39b4BY/j9rwpx\ntfzT4T5EBwKAuYPCbPFWDnDv7WYz+o+0nJp/XTefyJCM3ZU+J9L5nVhP00QyM9ypqskod5rVWt1b\n53LfH+KJY2/8hCBBH3fbtRehQ9sUxBL5J0mFWyYGcOjwNweA54CV/S0ehqEfx/j/mFISvy11bKCg\nlytXqtKeF9dWNqk2jvV7wd/eZJEY7jR/c61omIiP7yizLXfKOHTq3F44j+P9eqTvoF8fJOU5DvXl\n4Xtk0JJKq198XPx6f7denZzhBoB1gm+vZIBhaEV/95uLe/nwmQ/KpAV1ikXRLjdejTRlVTaY2dOp\nRq4+K67B8ZhF9crvb5R8O0qE47ooBo4c+pcjfN88myOFEdrG9NGlfB6L9no/N6IDAcAy4HnFrNFo\nNmzYIJVKvby85s2bZ3iwurr6zTffFAqFCKGVK1e6ucGH01jcbBlvm6rXuj10KuWtgR5fXy0aFWCP\nVx19/0L+S+HCMOe2t6nopskhjkefSD69XPjcjaVB15zNqjnyuPrywggqxThz9QAgHTyvmFNSUtzc\n3NauXVtWVlZc/PeiVFVVVWPGjFm3bt26deugKluD6WFOGr3+yGMJLkc7k1XzsFz6zmAjfuFYN9L3\n6OPq5MKubAoCnq2gTvnfMzk/TTDiVD0AyAfPwiwWi0UiEUJIJBKJxWLDgxUVFaWlpZs2bbp8+TKO\n5wJmi0rBVg/x+uJKoUrb3TWppSrte3/mfT7Ch8ug4hJbm5y5jE/ivVeczpGpdcY7ixVSaHTzj2Qu\njHKBW/gAdAqeXdkymczR0REhJBAIpNK/lzzkcDhhYWG9evX68ccfHRwcwsPDEUJvv/12WVmZvb39\n+vXrcQwAwzAKhcLnk2EXOQqFQqdb6iIMs/ryf7lXuedx/YpYn+4k5eMTj6M87Wf388M9wlb+M5h/\nNqfxq+SyDZNCn/1Mi85LKxQKhcvl6o22p8fcfanufM7n48JwHxzQJjKlBiFEpVKNmh0Tg+w8g0LR\neiEKHApzYmJienp6TEwMh8ORSCQikUgikRhuKiOE+vbta/ghPj4+KyvLUJhnz56tUCjodHpTU1P3\nA2hGp9MZDAa+xyQKi8V6OlsW5ONh3tP3pE0K5LnxbbqWlFtF9bvulST/J8o0CV0/RjRgy71R/vwh\nvs/6DmHpeWmJy+UqFAqNxigzuX9ILrpVUHtpUS+5TGaM4z+NTKlBRs6O6UF2nkGna91Xh0NhHj58\n+PDhwxFCarU6Pz+/T58+hYWFAwYMMPx27969ISEhERERhYWF/v7+hgcN5RkhVF39nOUkO4VCoej1\nerVajeMxicJgMCy6IRFC9kh/+7UXcn6eEtqFpCi1+mUnstYM9RKyKaZ5HwRM7IvhPktPZF5eEM5r\nf49nS89LKxqNxhjNOZVZs+Fm8anZoRyq6T6PJEuNXq83UnYIAdnpFDzvMcfExJSUlKxbt04oFHp6\nemZlZW3atGn48OH79u1bs2ZNbW1t//79cTwdMHNrh3qfzapNKezKspefJhW42TFfjjDpBkRTQx37\nedi+dS7XlCcln1vFjf89nfPbpIAAAZvoWACwSBix9zDwvWJmMpksFqu+ngwLINvY2JCgT37ng4r/\n3S67t2KQStaJbRaT8ur/czzr8sIIV1tTD+VtUGrifnv41iCPWeHCNp9AjrwY2NvbS6VSfL/1p1fK\nJu9JXzdSNDFYgONhO4JMqUEI8fn8pqYm0lxlQnaezTA8qxksMAKMaHaEsyePtea8uOMvKW1ULT0p\n/m60yPRVGSFkx6T9OilgTWLBkyoT3RklkydVsql70z+I8zJ9VQaATKAwAyPCMLR5YuDeB6WnMzu0\nFphSq59/JHN6mNO4QML+ske52b4d6zHvcNv7goD2pJY3Tdnz+O1BnnMiTXoDAgDygcIMjMuDx/o9\nIXzFmZyM512DanX6/xwX2zFpa+K8TBNbexb3cY1yt33lmFijI8lkFWO7ml8/be/jNUO9TLCPGQCk\nB4UZGN3wAMd3BntO2/ckr/19o9Va3eunc8oaVTum9KCZwdqN34/xa1RqV53LJcs8UiPa+aBi/pGs\nH8b4tXdjHgDQKVCYgSksinJ5Ndpl3M60m0VtrHxZI9e8eCCjsE6xLyHIxpiLfHUck4rtmRGUUtz4\n+ZVComMxXyqt/s2zud9eLz48M3hsoAPR4QBAErDtIzCR5f3dPXjM2Qczp4Y6vtbP1YfPQgjVyNSH\nHld/l1wyJsD+65EiBpX4a+VmDmzawYTgCbvTEUIfEN27boYyq2WLj4sFHPrFBeGOHPIs6gQA4aAw\nA9OZEuLYx912fXLx4K2pXAaVSaNUSVUDvHm/TwmM8bQlOro2ePCYJ14KnbL3cY1c/fULvnQq9DAh\nhJBGp998q/THmyUrB7gv7edmmhU3AbAeMI/ZTJFm2l+bSdHo9GKJXKdHHnaMZyyzZSZq5Jo5hzKo\nFOynCQEBLvbkyAvq6jzmlKLGt8/nsumUH8b4BTsZZS/OriHNR8YA5jGbM5jHDEiIRsGCnTihQo75\nV2WEkAObdmRWaE9nm6HbHv5+r0RnrePBCuuVi45lzT2SOb+389k5YWZVlQEgEyjMADwfg4p9Ntxn\n66SADclFw7c/OpEhsaqZVNUy9eoL+YO3prpwGSmvRs7v7QLd1wAYjwVcrwBgJmK9eSlL+/5xp3Dd\n9eJ3/8wbHyQY7M3r7cYlZJEy06hXaDbfKt16r3xUgMPVRRFePCbREQFAflCYAegEOpXyYk+nF3s6\nPSiTns6q3XSrNK2iiUGluNsxXLh0Hotmx6RxmVQOnWLLoAo4dBcu3YvP8uIxqWYwObtT5GrdL3fL\nNt8q7e9pd/pl6LgGwHSgMAPQFZGu3EhXLkKeWp2+qEFZ0qCqlKoalNp6hUaq0jYqtSUNSolMUy5V\nFdYplVpdmNBmoDdvhB8/2p1r5v3AWp1+z8PKb64VBwjYe2cERbmZ44B5AEgMCjMA3UKlYD58lmFa\ndntKG1X3SxuvFzQsPiHW6fQvhjvN7+3iwjXHDvAreXVrLhZQMLRhrN9QEZ/ocACwRlCYATA6N1uG\nW6BgXKDgyxG+t4obf/+rvN+Wv6aGOr41yNPNbO5PlzQoP0gsuFXcsHqI18xwJzO/rAeAxAiexyyV\ndmKb3uei0Wh0Ol0ul+N4TKIwGAyVSkV0FDggU1IQfnkpqlOsu1pw8FHF6wM8Vw7yYtMJWIiUw+Eo\nlUqtVqvV6f+XUvzV5fzZvVxXx/vYMS3y+zppPjIGzdkhOhB8QHaeQaPR8Pn/6p0iuDDX1tbieDQG\ng8FgMPAt9kRhs9nkKGZkSgrCOy9Z1fJ3zucU1il/GOsX62PqfmM7OzuZTJZW1rD0RJZWj34c6x/h\nyjVxDDgizUfGwJAdjYYke49Cdp5Bp9MJBP/a6Jbgr8b4fh/U6XS4H5Moer2eHA0hU1IQ3nnxs2cc\nejF4/6Oq+Ucyp4Q4fjjUi0Uz3dICWp1+/bWC764XLu/vvqyfG42CWXSaSPORMdDr9TqdjjQtgux0\nCiwwAgDBEno6XVkYniORDd/+6PHzdq3GS2G9cuiWlCPpVadfDlvR390cttoEABhAYQaAeC5cxv6E\nkJcjheN3pm+7V27s0+17WBm/7eEQkeDiwkiYoAyAubHIUR4AkA+GocV9XPt72i06lnWtoP6HMX7G\nWEi8Vq5561zuX2XS3dODRvX0kkqlah15OhgBIAe4YgbAjIS72FycH86gUoZue3i3pBHfg1/Oqxvy\nWyqTRrm8MLyfBywbAoCZgitmAMyLLZP688SA3amVCfszlsW4LY9x6/5ynk0q7SeXC489rv56pGhS\nsOD5LwAAEAeumAEwRy9FCM/NDTudKRm3K10s6dY8k0u5dbFbU0sbVFcXRUBVBsD8QWEGwEwFCNhn\n54TFi/gjf3+07nqxQqPr7BEK65ULjmS+fir7gzivndMCnc1yEVAAQCtQmAEwX3QqZdUgj7Nzwm4U\nNvT/5cHeh1VqbYfKc1mj6v0LeUO2prrZMW+8GjklxNHYoQIA8AL3mAEwd4GOnKOzQs6La7+5XvTN\n9aLZEcIpIY6+9m1sm6HS6q7mN+x/VHk+u3ZikODSgvA2nwYAMGdQmAGwDCMD7F/wt79eWL/zQWX8\ntodONvRIV64Pn8llUHV6fblUnVkt/6tM6sljTgoWfDbcBzquAbBQUJgBsBgYhmK9ebHePJVWf79U\nmlbZVFCrkMg0GIacuYw5kbYbx/p58JhEhwkA6BYozABYHgYVi/G0jfGEucgAkBAM/gIAAADMCBRm\nAAAAwIzgX5g/++wzhULR/L8ajWb9+vWffPLJjh07cD8XAAAAQDJ4FmapVLpq1arbt2+3fDAlJcXN\nzW3t2rVlZWXFxcU4ng4AAAAgHzwLM5fL/frrr8PDw1s+KBaLRSIRQkgkEonFYhxPBwAAAJAPzqOy\nKRQKhv1rwX2ZTObo6IgQEggEUqnU8OCWLVtqampsbW1feeUVHM9OpVKpVCqXy8XxmESh0WjkaAiZ\nkoJIlBeEEIVCYbPZTCZJpleRKTUIISqVCtkxW/hmR6VStXoEh8KcmJiYnp4eExPTr1+/p3/L4XAk\nEolIJJJIJEKh0PCgs7Mzm83mcDgsFp7LEl27di0xMfHjjz/G8ZgEotHIMJktOTn5/Pnzn3zyCdGB\n4IYceUEILV++fPHixaGhoUQHghvSpAZBdszbihUrFi5c+H/tnXl8FFW695/qJd3pDiQQCBg2jSQz\nDsxlkSWiMoh81FFcwPUdvYJe/MwgiOAwyp0RUK+Og6ijLI6K3gE1uOC4XhFBENlXGRHRSRAykSVg\nAiTp7vRa9f5R3ZXq6qpKL6dP1ek83z+gcvrUqV899dQ5p876y1/+kkhqieUgAUuNGzdu3LhxWr+W\nl5fX1tYOHz68rq5u1KhRYuCECRMyv24ira2tjY2N2UgZSRufz9fQ0GC0CkSFkydPBgIBo1Ug6pw6\ndQqfjmnJ9tPJ4nSp6urqJUuWVFZWHjt2bOHChSUlJX369Mne5QAgPz+/uBh3tTMXLpdL7MtAzEaP\nHj1ypqU09ygpKcGnY1qy/XQ4QRCylzqCIAiCICmBC4wgCIIgiImwPvLII0ZrUKGlpeWxxx67/PLL\ns5F4OBx+7rnn1q1bd+TIkcGDB4uBjz/++IgRI3JpeAIF5s2bt2/fvosuukgnzgcffFBbW3vo0KFT\np06JfRlofzqovkRr1qyRHoQcfCjZ4Jtvvlm8ePGGDRs2bdp03nnnFRUVtXvKa6+95na7u3btmkz6\n+NQyxLQFTY5/Mbe2tiYGKtY8UV0XBWmXlpYWn8936NChcDisFae1tfWGG2646qqr5IFofxOCD4U4\nJ0+eXLFixUMPPfT4449PnTr1r3/9q3xJRAD4+uuv//GPf6SRspSt4VMzCcQLGlPXqk6fPv3iiy8C\ngMPhmDVr1vr16w8fPmy320+ePDl79uw1a9acc845w4YNe/PNNwcPHtyjRw9F5K+++srpdPr9/ilT\nphQXF8+dO/e///u/XS5XTU2NOAlBXPPksssuW7Bgwbx58wy+W9bYuXNnZWVlfX39/v37hw4d+tpr\nr/n9fo7jzpw5M2PGjM2bN4v2/8UvfqGYDID2p8nHH38sf03EwAULFuBLkW3Wr19/4403durUCQB6\n9Ohx0UUX7dixY/DgwUuWLAGA888///jx48ePHx8wYMCqVas4jisoKJgxYwYAfPDBB8FgMBwOz549\nWxCEv/71r6FQqLi4ePr06VK2dv/99wO+SoQwYUFj6i/m06dPT5w48Y9//CPP8z/99BMAOByOu+++\n+9xzzz148GC7kYuKiu6///6RI0fu3r37zJkz4sxpUFvzJHFdFKRdtm7dWllZOXz48G3btokh3bt3\nv+eeey644ILPP/8cYvZPPBHtbzj4UlDg5MmTpaWl0p+9e/c+efLke++9d+WVVz788MN+v//SSy8d\nNWrU3r17R48e/fDDD7vd7j179gBAv379/vjHP/7iF79Yv379J5988qtf/erRRx8tLS3dvHkzxL9W\n+NSIYMKCxnQF8/79+wGA53kAKCoqWrdu3d/+9re6ujpx9Li4umd+fn4kEpFO0YpcUVEBAMOGDfvq\nq6+2b99+8cUXi/HFNU8AoLGxMZcWo6GJ1+s9cOBAVVXVZ599tnPnTvERSGuv1tfXQ8z+iaD9s438\nJZKQ/4kvBQWKi4vFjFvk1KlTxcXFx44d69+/PwDcdddd4nyb48ePi2/Kz372s+PHj0PsxbngggtO\nnTp14sSJrVu3LlmypL6+3u12Q/xrhU8tbUxe0JiuYF6+fPmZM2eOHz/udrs//PDDMWPGTJ06tUuX\nLqIJ5NUNi8UiVkO+//57AEiMLHawFxQUhMPhrVu3SguTiWueAEBdXZ34kiCpsnPnzhtuuOGhhx6a\nN2/ewIEDxXpldXU1AHz//ffih4LWAAe0f7aRv0SK10QEXwoKjBkz5h//+IfY+9jY2Pjll1+OHDmy\nR48ehw8fBoDly5d7PB5BEHr06HHo0CEAqKmp6dmzp3gAAN99912vXr1KS0svvPDC6dOnDx06NPG1\nwqeWNiYvaEw3Ktvtdi9btmzfvn233357aWnphx9+uGfPnqKiolOnTrlcLpvN1q9fvx9++KFHjx4V\nFRVVVVU7d+7s0qXLz3/+8549e6pGBoCWlpampqYxY8aIlygtLV2/fv3mzZtLSkpGjx4tBn7xxRej\nR4/GoYxJUlVVNX78eGmU6VdffWWz2f79739v3br11KlTt99+e11dnWj/w4cP22y2UCjkcDjEwcBo\n/2wjf4kUr8np06fFB4EvRbYpLCwsLCx8+eWXN2/evGvXrilTppxzzjn9+vVbuXLlxo0bO3fuPGzY\nsHffffeaa65ZvXr1tm3beJ6fOHHi4cOHT5w4sWHDhtOnT//mN785//zz33777S1btng8nssuu0x8\nm8RsDfCpZYDJC5oOscDI+++/X1JSIrUwINngtddeGzVqFFbbWQFfCgQhC8F3ynRN2cT54osvDhw4\nUFlZabQQBDEL+FIgCFnIvlMd4osZQRAEQVgh97+YBZfLHgAAIABJREFUEQRBEIQhsGBGEARBEBOB\nBTOCIAiCmAgsmBGEGQKBAMdx55xzTs+ePXv16jVlyhRxhmXm3HXXXTfddBORpBAEyRAc/IUgzBAI\nBJxOp/jOtra2zp49++TJk++++26Gyfp8voqKiqNHj5LQCJFIpKmpKcn9kRAESQS/mBGESfLz8599\n9tnNmzcfO3ZMEIT77ruvV69eAwYMmDlzpiAIU6ZMWblyJQBEIpF+/frJ14YEgEceeaR///7l5eWP\nPfYYAEyfPr2xsfHuu++WIqie/swzz5SVlf385z8XVyVKvOjWrVtvvfXWQYMGvfzyyxQtgSA5h4Ag\nCCOI+wbKQ8aMGbN+/fpvvvnmyiuvDAaDwWCwvLz8+++/X7t27XXXXScIwpo1ayZMmCA/5ZNPPqms\nrPR6vV6vd8SIEWvWrPF4POeee648TuLp69evHzZsWGNjY3Nz869//es33ngj8aJbtmwpLCz84Ycf\nsm4IBMlpcNk2BGEbjuMGDhz4+uuvr1u3bteuXfX19X6/f+zYsf/1X//V1NT0+uuvT548WR5/48aN\nkyZNEjfAueOOOzZu3HjJJZco0kw8fePGjWfOnLn11lsB4NixY7t377799tsVFwWAUaNGiRsAIAiS\nNtiUjSCsEgwGDx48WFFRsX379jFjxnz33XfXXHPNkCFDAMBqtY4fP76qqmrr1q2//vWv5WcJgiCt\n0c9xnHz/HInE010u129/+9t169atW7fum2++efrppxMvCgDiDkgIgmQCFswIwiTBYPAPf/jDJZdc\n0qtXr88///zaa6/9/e9/36NHj++++y4UCgHAbbfdNmfOnAkTJtjtdvmJv/rVr9544w2/39/a2vrG\nG29Ia+4rUJx++eWXr1y5sqWlJRQKXXHFFR9++KHqRREEyRwsmBGEMfr06dO7d++ysrKWlpbly5cD\nwG9+85t9+/ZdeOGFDzzwwLRp08TBWZdcconVap00aZLi9PHjx48ZM2bQoEGDBg266qqrrr76atWr\nKE4fPnz4pEmThg8f3r9//6FDh954442qF0UQJHNwuhSC5Cb79u2bMmXK3r17DTkdQZC0wS9mBMlB\n3nnnnZtvvnnx4sWGnI4gSCbgFzOCIAiCmAj8YkYQBEEQE4EFM4IgCIKYCCyYEQRBEMREYMGMIAiC\nICYCC2YEQRAEMRFYMCMIgiCIicCCGUEQBEFMBBbMCIIgCGIisGBGEARBEBOBBTOCIAiCmAibIVf1\ner1ZStlqtQKA6hazZsZqtTKnOS8vLxgMGq0iNVi0s81m43me53mjhaQAx3EcxzGn2WazMbd5JYsu\nbbfbw+EwW6tBWywWQRCyp1mxkbkxBXNra2uWUi4oKOB5PnvpZwOO45xOJ1uaLRaL2+1uamoyWkhq\nuN1utuwMAIWFhYFAgK06kN1u5ziOOc15eXnMuQeLLp2fn+/1etmqTzidzlAolD3NioIZm7IRBEEQ\nxERgwYwgCIIgJgILZgRBEAQxEcb0MTudziylbLVaLRZL9tLPBhzH2e12toZCcBwH2XyOWcJqtTKn\n2WKx5OXlWSws1aGtVivHccxpZi7rADZdmuM4h8PB1thAu91usViypDkcDitCjCmYszf00W638zzP\n1tBKMQtjTjNk8zlmCRaH3TqdznA4zJZsQRA4jmNOc15eHluagU2XBoBwOMzW4C8xi85SwZyYrDEF\nc/YeiTiina1HLk4sYUuz+DHElmYAYM43AEAQBBbdg+M45jQz6h6MamZLtjhlkZpmYwpm4tSe9T/8\nee1pX7ir25Fn5YCPiO3ChU7bc1efT0fD5n83/e/ek8EIf6Y13NlhddgsFg44AAEgIoA/zLeGIoVO\nm91iARDVcWLkQqctP88m8BExMmXNr+6tD0WEM63hT/5z4INrDzd6Q6I4XgBfiPeHI2/f+guX3fLG\n16c2/HCGBwjzwmlfuNBpK8h3REJBAeA/ehZMGtLjtx/WrLrtAjqaNezMRQShNcT7w6KdudgZkp2t\n+Xn2mJ05XhB8IZ6O5i3/bnpFtLM/3DnP6rBZrJzoBFEZ/nCkyGm3WTgAgQPgAcTI/3fHgPs+OFjf\n5IvwPABEBGilqPlV0c7+cOc8q9Nu4SDOzoEw39lpVdrZHy50WB02q9XCCTwvRvaF+HepaN5a17xs\nzwnRdIUOa55VsjNEBPCF+GCYL3TabBaOA0EAEGJ2FjU78+yBYFCKTEczAPzYFJiz9khMRpydfSE+\nFOE7O2y2tm6BNjvnWS15dlskHBYje4ORf/y/X9DXrLCzNxgJ80Jnh5adLY68vFAoJAiCFLnq5p8X\n5FkpaH7osyNnAyp2lmmORhYAgmHhbCBc5LDZrZzdZhV4nhegIM+yeHz/bEvNkYK5wRvaWdd8NhDp\n5vaHIzwIIABwAOXdXdQ0HGsKbKk9KwA0BSLFLlskIgjRBw8AYLFwLYGI226RQsSDpkCkm8se5nlB\niIZUUNR8vDm4pbYJAJoCEQGE6obWgye9kjzgOE8w4gtFXHbLv8/4N9c2iXd0NhDp5rZH+BaBFwSA\ngjxrcyD8zxMeipo17cxxnDfEu2xcu3bmAASO07sSQc0twS21TaLpil22cESIk8dxvhDvtnFywWJk\nXoDvT3n2H2/mhdgpVDVr2hk4rjXE52vbGQCk15AHWpqbA6p2Fv8VgPOHeZeNi3OYWOQIL1g4S4Tn\npch0NANAoy+088dmVTsLwPnDkXyber4RivDiAxBPofkF2ugL7fqxWdXOPEAgzLtsFnU7RwTOwgmC\nIMoWI3uDEQoF8+nW8K6j6nbmAYJh3qlrZw44XhDKuuZnWyfkTMEMkh8LIA6iEq1OeUCVAG1XF+I1\nqKiSfgIhKptr009PsxB3LN0CcPE5E8dJdwQxO8dC6GVhUZ3adpbktWtnihlvmySQXDReMECc5eXy\nhJhyMZymsfXsDNFwLTvLI9BE3c4yk2o5jCCAwAlGuodqvsEJYEo7gyLL5aLiRYWgY2cQpRsjW9PO\n0q86do5WJ2jA0rBJHbQKM6pFhu7FOC7ZJ0o1522vFpCU5iwuVKd+NZ1fuSRuij7tKmJOc/L+TJN2\nJbWvmXrxBrqqOOCM0dQe7VkyJc2UblDnLUshfyalRpcc+mKOVXzEGplhX5/ic+M4QRDi6ukJ32qy\n2iInQFtk2lm0zNGkLzMApZjoMrFcnJ2jkTkOkizCCaFn52h7r4qdo7Vd4+wcq3dzwMXbWW5MFcsn\nfPnRoj1/FoDjNO0MsteQoyhazc7Rf0UvFjile4g3KDq/5CSUKx6a/izo+DNw8dkdVcXq/gyJ36MK\nO4s3aJRsbX8Wa0Ht25mKzFwpmDnJiLH+FkMaSWIdFOJTB1lIVIwiRGpFiQ+hh6yiKCg0cPHhEGfV\n6Hru8lugBselZ2fgYnk2dfdoc0uFi4JMhkKwFFlW16QpO+75MmNnULezXInajUS7PDkQxHqmIbIz\nt7MRlTalP0to2ZlTOYWOcCmnVbGzFEPbzgJFC+dIUzaCIEjmUK4Y5xhoPVJgwYwgCIIgJiKHCuZo\nG0Vs1B9I/TNUNYgXbOusEmLdsZKcWIgssiAPod0vLqvnSrIl68m7C6U7kmLGBAtAWbaOnYU4H9Cx\nM8jujopkFReVZCgtH4ssyZSdQrO9Usef450WdO1MVbJGVqAaEh9ZEGQPgvprCJr+nFS+Qdcz2kQL\nSseI5QkadgaVe6T7Gmrmz0n5Mx21OdLHLI0gkIoZ2j4qz6rkjzleiSJE8hJFCDUSLy3INHCycMVP\nirujPCJJx85yzeaxszjZTLq0qosKCYIh4aEINLs+xQlyMgHmt7N8foDSRTXC5YGcWEkCmmPVxKsL\nbOUbkKAZYtWItrEp2naGxDuicgOKYsLMds6hL2YEQZAMoV/E5RD0P9pzFSyYEQRBEMRE5EhTNrTV\ndOMmqFGuwQmxNhnlTD6I9X3KQuLmBMtCaGuWXU2IFyPvT5HfEcgbhaRFfCjK1rMzJ0izsfXtbNz0\nEqUbgBDrB1HIi52ouEd6mrXtrHojWnamqVrdzrJ/lTcSt/KX7BUwx4pUovWStTNd/4jLAWKLYgux\nVm5NO8fOkrI72u6hmm9A/Bx30MmfaUCgYA6Hw4sWLfJ4PH379p08ebL8p6+//nrDhg2zZs3K/Cr6\ntOUg0WfNRaclUkSQjZYSpNEPohKAaEEnD4kdtBXGbZFpaZZ5mjSGSxLDyabStv0kcLETo/cjj0NJ\nc7p2js2hjLoHtUXWEkwXJ4/jZHEkwYI06xbk98jRKjH0/ZlL3p/pSRb7xdXsLDOd0mFkkQXgxNyZ\nruiM7MxxnNy7qGpOyHJjBZnsphLtLMQ+mWTZHZ3sQ8ru1PKNaAST5M8EmrJ37NhRWlo6b968EydO\nHD16VAr3+XxvvvmmCdcaRBAEUQVzq0zA3J4UBL6Ya2pqBgwYAABlZWU1NTW9e/cWw1esWHHTTTdt\n2rRJinn48OFAIGC327t165b5deVYrVapLsOJy61BtDpps1FqrrdYLMrKl6yBV/9A1BytI9PVLB3b\nbDaO4+LlcWK4zWaT7i7xHjmOs1qtYkw6mvXsLMSF6xyIX0XUNIOa6SQZqvIAQDSs4h5NYef4cJ0D\nM9g5mRcTpLZZunZWXCjBn5PKQKR/aWpWsyokhKhld/EOD7FMJtuaxbdJQ15cuM5BNvJnXtyNTQaB\nC/h8PrGgLS4u9niie//t3r27R48effv2lcd8+umnjx07VlxcvGzZssyvK8flCrc1+oktQAAAwHGW\nTp06kb2WFk7n2fj1FeOINZuqNjfFLTVrlOaCTp0sFmu8Qg4A3G53p05Oe55d8ZOk2Wa3u91uAI6O\n7HbtLHcAxY9xS/oCAEdNc5OOZtDW3KlTJ+A4E2qO1eFUm9w0biT7tGPnaN6qqTn2FKInUnsN8/Mj\nsvVC42VxoHRa2Y8AcdkdcPQ0u1wRsWcowgMoMg0tzbHICs2CILhcrk6dsr6dotutpVlcm1hPsywm\n+fzZ7/crQggUzC6Xq7GxsaysrLGxsaSkRAz84IMPnE7n119//eOPP3722WdXXnklALzwwgvirw0N\nDZlfV05zc0us0xMAQPKLSCRy5swZstfSwuvzSfVbvm0EUlRSdINaIX4j3phYIeaqAmXNXp9UJT9z\n5kw4HJZugQPgBQCAs01Nzkir3++Xv218bBCFABAMBpuamwVBoCPb69Wzs6RL1c7ynzgAQQBKmn1e\n8bqiZqU8ub6YYDHymbNnhfh7pKk5bTvL/Vn8l5pvqNo5bpxf/I3EReY4QeBBsIg/UXsNm5tbRIsl\n2lmSrGVnTlZ0U7MzADQ1xbJc2bMWBF4QYvUeNTtHnw7Hye8IAJqamgoEZeGUDc0qmYAsgqqdFS9m\nlvJnt9st/1Ozj7mqqmrmzJnhcPi9997TT7G8vLy2thYA6urq+vfvLwY+8cQTc+fOnTZt2sCBA8VS\nGUEQxOQI7UdBkKyjXjDPnz+/qqpq7dq1HMctXbr0oYce0kmisrLy2LFjCxcuLCkp6dOnT3V19ZIl\nS7KjVg8h4Zj+O6ajIaUDA9ERk2hVowQTsbMZ3EPnwOz+3Nb3qYxsQjsn4zCqp9OHaX9O78U0hAR/\njgvXP6CAelP2W2+9tXfv3gkTJlit1jVr1pSXly9YsEAzCZtt5syZ0p8VFRUVFRXicUlJyQMPPEBW\nsRZSG4XUkgbUn71sZpF8cUAxJC5C4lmGa5Z1Dkk/yaMpfpJaWGP/0hDbdnWZDMWV4+dfx5+VcBfZ\n06hydZmMZH0DVCyfLYVql9bUHJ2lo2nn+HBq89IkzYIQiSgH1ICW5rjI0aGjNDXHZvGpaOakjaIV\nyCLHvcIUUWRcogCxAVvDNeI8qu0UiqO51TSLKvT8Oe5PKlmd+hdzMBgMhULisd/vz8/Perd8hsgH\n1xlWf5SVT4p/E+u2idVJQ2QL8fJUxcQVz0nEyTaqFpYkKZ6CWewsqGtoV56iuka39qO8Lgv+LGhp\nEOKixUXQj0wHtuwM0FYHUPhzu3YG42RLr2EadhYratQEqxfM06ZNu+KKK44cObJw4cJLL7106tSp\ntPQgCIIYBr1vNwTRRr0pe/bs2UOHDt24cWMkEnnllVeGDRtGWVYaSJ9usaYsY9aok64utGmIk6e1\n5Jv0E23NQtyxdAuKAYsCtN0RxNs5dmv0ZBOxsymWioQ2O8stL0WG2Fdgm3vQ1JyBndvaYI1b+rRN\nFSfz2ATZUmT5kpyUC+j4XEtmTEHFYeJuBNpOpCy6zQegLe8SRB0JDtNmZy7m09GfqGZ4WnaOWlp/\nSU6KjqFeMH///fdjx44dO3YsDQkkkJUTUv+WNG+Clobo8xNiMiQN4pF8voAUIsTEC/Kf6GkW2hpy\nZK9ZvLy2yJJ+aDNzNA7FUlkQiNiZpnvEfJMDQRAXE1CVJw8RI8eMzAHwsikelDRHJUU1c0nZWRAi\nEXl2G53RQ0mzzEWVxowp0nKY6PxaQXoQNPvFoe39E+LsHD/PSMVh2soVinaGuCJKZufon9IEax2H\nEeT+TCn7aLtU+namo1S9Kfu6664bOXLkCy+8cPr0aTo6EARBDIduk0TOgcYjhHrBXF1d/eKLL/74\n44+XXHLJjTfe+NFHH1GWhSAIgiAdE80FRoYMGfLEE0+89NJLjY2NN910E01N6SJvd5W1WtHVIEhS\nZBqEWFOIPKQtsspPFBUnNlbHy4v9JHW1CADSZBJFKDUI2FnWPEVFcewfQUNeQojURik1abdZm5rq\nNOysdChZizwNxbF/BDXZoBIS147c9goY0l+bIE/fzoZnd6D052TsLDUdG5PdgaqdxRctXrCqnelY\nWb1g/uSTT+65556+ffv++c9/njRp0smTJ2loQQxFEATVPioxa4jrvxIEgTdBo5XKJGZCkU2DQHc+\nLYJ0WEz1oqkP/lq0aNEtt9yyYMGCrl27UhaUNkLCMf1sWEdDSgeGoPjwFeJHv7SNqZMHJoTQIW07\nc2qnUCNRNiSoAm15ZhCcnp0p53j6Lqp1I6qn04FIvmEKOwsJIQmREx0ejLO57LoJY10TDmhOMFAW\nzMOHD3/33Xc7d+68Zs2aNWvWSOGrVq2iIyg92ozYNniD/ghn+XUV/0pw8Z4p9waqY24hpkASw3Hy\nW4iTJ0PpvmJFk3qbMJCwMz3R8dOG5KogXoyK5RP8iqZmyMDO8gi0NMddUaGKi/9JUUBw8TdG/+sp\nHTuLsmUR6BH/iCF5O8fnFtHIdMwttv1p2Fl8R/XszEUF00BZMM+ePbtr167yJTbZoa3TgovakaPe\neMnJKmKcpAQAuJg8eYjQdpYghVDWLM/+xY3PEuRJv0fvSNIYFdwWgRptduZSs3NbCCctvkgFVdPp\ny4sWcuKU0Db3oGloQnamqFjVzvEa1G8E4iNQzjmI2Jl6fULFn9u1s9qN0CMTO4sn0tGsLJhvvfVW\nAFi5cuXSpUulwMmTJ1988cVU9KSJNGgjuuM0xwmCQLnTIJqBCtF5n1xMQ1SauKKbLCR6IAi81P3J\nUS0qoprbJkICQOwWAICT5v/HIsf0gyyOfAlMeppjAtrs2a6d42+NsnvomK7Nzmry4pTTlS0AMTtT\nM3R0GYNEO8veLCFBtjwyxD8sWrIZszPEXkNIzAratXPCjQCtDISMP1NBWTBfcMEFAFBXV7dhwwYx\nJBwOFxUV0VGDIAiCIB0cZcG8ZcsWALj33ntfeOEFKZB4wUx8VwyHwy+vy0jVIovFQm0HDrvdrqpB\n/mcyB5Q1S8dOp9NiscjFiFVwp9OZn++02WyKO5KOrVar0+nkOI6ObFJ2FgSBo2Vq0c6JskFm50R5\nEHtT5CFoZ33NoGbnZG4EDLIzADgcwXblJWNnoKtZ1Z8VIcnoBwCHw0FBORE7ZyN/DofDihBlwXzV\nVVe9++67PM//7ne/k4eTHfzl9/sJpgYAwWAw2q4SHx7hI8SvpUU4HJaurtXeoRpuEs3+QCASUZkF\nFQgE/H4IiwstxpAfRyKRQCDA8zwd2aTsDAC8IJhcs9/vV6zOa37NiYGCQP6VV4WI5lgLLSXNABAI\nBlSzL4WkdgOFLGStWmhlufr217rBQCDo92e9JT4QIGBnOhmdMYO/iLfU81KC4v+ysXXUegV4gW8T\nIMSP+wPVgX4JXhwLoaeZbxvFLiTYUAwQu8CjvwqyG4kJln6lI5vnY0ogMztTdI+onRNMJx4I2vLi\nHJuuezBpZ0HDzqKjSvFUb0Q6Bqp2jl6IKTuDlN1Bgqp27Rx/I7FqkEBBuSAwkz8rC+b6+vr//d//\nVQR26dLF5IO/EARBECQ3UK785ff7/X7/rl27nn322aNHj544cWLRokVHjhwxRFxqqLRGmUiD8qtI\n/8BAdMQkWtUowUTsbAb30DnIGX82k2yVEDPYWQ7Tdk781bTZnbnzZ+UX80MPPQQAI0eO3LNnT/fu\n3QHgwQcfvOaaa+bPn09PVFqIjSKKzWFotevEaUiUkRhBJ9AwzYLY0qOhXFC0UcW1VwHdt4yInQFA\nZ6144qSnGRIsb37NiYFs+UYsJ6GH9IgztTPdvEM9y9W1f6rOT5zM7UxHqPpLXl9fL43E7tSp06lT\np6iISZ+2nri2jZmN0aD6r1yeqkijZIvzJxUX1RGjJZh+zsuYnQV1De3KS7wjajDpzxp2TvxJK7I8\nAk3YsrOOhnbtrDiFqkvHqi7mt7P6WtlXXXXV9ddfP3XqVI7jXnrppSuvvJKSnHThuDiTGfLUtTTI\n/0zmgKpm2VJBQqKY+GGSifKkEJqL1SkWdMvEztQszXFxApRiuIQQDTsDxToQQX+m9iWnZedkbkTx\nE+WvT1UNKR3Q9GfQcA85yd+I6unZIC67M3f+rF4wL1my5NVXX125cqXFYrn22mvvuusuGloyQMtY\nNNfCIfXAqGqWvctpX5bjgGaRQTD/obgiFbGkmNRMbbUyBjUThPLKXwShY2wiWQcdqcqC+fnnn5eO\nKysrAaC1tfXNN9+88847acghjUG13owwSrOg+5Wg49Oxk9jLyJjwDkH3TyYw6uszE2hqJnUl9qwc\ngyEHoSM1h0ZlI5khaKy2K/ohx2C5mwMItDbeQQwEHzE75TIlcmRUthmq5MYrSB252TguzS9moFvh\nNcGjTplM2tCMul26XZZkYNE3gNGsg2hqFLd9ZIMcGZWNIAiCILlBjozK1sJENaSka2uGfSGpzYtU\nO0w8UQBTmTppzNDQ0i4KkUxoVsCeYrqaST1TBl0jCkPC6bQk5cqobKMFQO7mmMncFt3JiOyRtn0M\n9CkG3ZnJ5ndGydXsziSoF8w2m+2yyy676KKLACAUCk2cOPHjjz+mKwxBEARBOiLqBfOsWbNWr15d\nX18/ZMiQgwcPTp8+XSeJcDi8aNEij8fTt2/fyZMni4FnzpxZsGABx3E9evS4//77WZwUiCAIgiD0\nUR/8tXbt2m+//XbWrFnPPPPM3r17Dxw4oJPEjh07SktL582bd+LEiaNHj4qB69atGzdu3JNPPhkI\nBA4fPkxeOEKadhZo0q5aiSeZpWkrlfXezKG4Hc05MY/ZaAWpw2LvDLst+Qx5iJErf509exYARowY\nsWnTpgceeEB/HnNNTc2AAQMAoKysrKampnfv3gAwevTowsLChoaG5uZmaYD3tm3bfD6fw+EYPHgw\n2duw2/NUwzmOczgcZK+lhc1uJ5IOVc22NgdwOByqDRv2PLvD4bBYNPdOsFqtNrtNTCEbIhXINWcO\nHc3WdDXnqckzuWZVKGm2sqcZAOyEsg6gqJlUdieSl5dHQTmRrCMb+XM4HFaEqAudOHHitdde+/rr\nrz/44IOnTp3q1q2bTqI+n0+MUFxc7PF4xMCePXsGAoGnnnrKZrO53W4xcN26dSdPniwqKhLXFCOI\nlmdzHOd0OsleSwtSBYZRmrVKX4fD4XQ6de7OYrGInkpHNtmCmY7mtHNe1dqSyTWrgpp1yMtT/65I\nAxY1QyyTIZigKkQ0ZyN/DgQCihD1PG7x4sXffvtt9+7dly1btn79+qVLlwLAP//5T9UvXZfL1djY\nWFZW1tjYWFJSIgYKguBwOJ566qmlS5du3br18ssvBwBplZKGhgZStyTi9XpVw3meb2pqInstLfx+\nP5F0aGpubW2VjpuamiORSGKclpaWJmsoGAxqJRIKhcQKGR3Zcs2ZY3LNzc3NiX0EJtesCmrWweNR\nz77SgJpmrSw3PZqbm5vsIYIJqkJEc5by54KCAvmf6u2THMcNHDgQAEaNGjV37tzzzz8fAKqqqlQj\nl5eX19bWAkBdXV3//v3FwMWLF3///fcA0KVLF51W0GzDTs9FGwZq1l0QW6//GRg1NQuiFSLNojm1\nvnxziGZRcyqYxTdyGjo2JtAqWFlZuWTJkoULF5aUlPTp06e6unrt2rUTJkxYvHhxfn5+QUHBzTff\nnPlV2sEEo76ZfCuSsJvZ5jGb4VmnStoj4wydx8yeQ7OnmFkY9A6W3INAwWyz2WbOnCn9WVFRUVFR\nAQBPPfVU5okjCIIgSIfCsEZmOjBZrTNy20e9X7V/EoBRU7NQh1aIZEKzAiZ9g+q+LAwaiCgM3T+d\nh0VygKuBmMGzczXHTGrZzoyVJI8JHnXqpNv8bqRjd6QuA/OS4h0JAqXnpmfqlDTT3PeaHe/I8S9m\nBEEQBGGL9gtmqWY0derULItBEARBkI6OesG8fv16cTzXhAkTOnfuvHz5cgAoKyujqYwITDYvG6RZ\nfy5Juz8xaWoWJJt0uhRCDnykDHk1HanqBfNvf/vb8ePHb9++3e/3/+tf/3riiSdoaMkAMzxWhnxL\nIpnSNLnpUhQ7ikzxtFMjffMY19FL9pFSchCi5srVN5rQhdijnX5xMz1v9YI5EAiMGzfuk08+ueGG\nG0pLS0OhrK/JgiAIgiAIaI3KHjRo0KRJkzZt2rRv37758+efc845lGUhCIIgSMdE/Yu5qqqqsrLy\ngw8+KCoqslqtb775JmVZpDBT40SyGDaPWbdGXs2mAAAcrUlEQVQ9Wm+1zujpxBUhAGjYDgA+Yob6\npwxbkvP06dMvv/zynDlzxD/nzZtHRUlGmMGzTSAhZUj1H7M7j5nOvM+08x3VmzW5Zq3UOMi6aMK+\nQUUzWQQB6Eg2Q5abKgxJVvliLiwsfOONN/T3YEYQBEEQJBuofDFbrdYBAwYMGTJk1KhR0lbKq1at\noisMQRAEQToi6oO/ZsyYMWPGDMpSsgFDbRcShmnWbR4ltQAfkipo3dyHwdVPycJQHkJHqnrBfPHF\nF3/22WcbN26MRCJjxoy5+uqryV5V+hAnhcOpvkG6xWIhfi0t7PY8IulQ1ZzXptnlcnFqGYQzP9/t\ndttsmsuqW61WpzMfAFwuN4UcRq45c1xulyX7otP2jXxXfuJDMblmVVwut9WSfc15doKp0dEMAE5n\ngFRSLrfbRkdzPjHNAOByuShkeg6HP/NEspE/J05IVs9tH3300dWrV99xxx0cxz322GO7d++eP38+\nQR1er5dgagDg96tbnOd54tfSIhgMEknHKM0+n091nFdra6vXC+FwWCuRSCTS2toKAF6vl0LBTMrO\nIl6vl0Ihl7Zm1Ydics2qeL1eCoUci5pBO/tKA6/XS6dgJqgZAHw+H4U8j4hmOvmzesH8+uuv79+/\n3+VyAcDdd989ZMgQsgUzYkIYak1CkFwiBzfFSpGOfv8JaG5iITWgWSwM70DFoscbqFlvHrPeVs3s\nGZkhWPRhBMlV6GR36l/Mt99+++WXX37nnXdyHPf666/feuutFKRkghnyLhYz0OTmMScRBwRgdK4q\nlXmfaUvWmsdsZs0UUtO8CuF5zOwh0JrIzGJ2x9AgO80+5pEjR27cuBEA5syZM378eKqiEARBEKSj\nojnU9uqrrxYHYzNZM0JSB1ukEcQQ8MVDFKSwHzOLsFipMFBzeh3JLBqZIdC6CGIecD/mFDBD2WAC\nCSmT3DrYye7ZTOcpkG3CMXnfp+p5JteskRoN1YT7xc2QraQINcXsmYapB4r7MSMIgiCIicD9mJEo\n7NQmESSnwFevwxtASa7vx2y0gDQwUHN6HcmYrWQVNC+CmAfD9mMGgMLCwqlTp4rHc+fOVV1CGckx\nBADVWchiwZCMC7BYglCb95kegiAkWt7kmlVh0jeMFpAWjDmGCNY+FeTIqGwzTPVh0bfkkrkMhl7T\nvHcGzZzRqBOj/IqhkTISDEpmFbKmpvPpx5B35MiobCRzGPJaBMklzPBdYSxYo1KQ46OyWXzeZvtC\naleOlK0w+Y1ltAB9DJwuRRoWm1jZ08ymbzCZUWcVAqOyw+HwokWLPB5P3759J0+eLAb6fL4nn3wy\nHA673e4HH3wwj+geuomY4bmyWO2V243jON0FRnShmIOZ4VmnSiaSjfIrBs3MZNWQUci6JaWmbHa8\ng8Co7B07dpSWls6bN+/EiRNHjx4VA7/44ovBgwc/+eST559//qZNm8gLR0iDmRqCGAK+eWgBBZqj\nsjt37vz3v//96aefHjhw4LnnnquTRE1NzYABAwCgrKyspqamd+/eAFBeXl5cXAwABQUFdrtdjLlu\n3bqWlpb8/PxLL72U7G1ofZFzHOd0OsleSwvpNjPEKM0Oh0N1+L3D4XA6nVarVSsRq9Uq2t/pdNqt\nWd8klJSdRZxOZ172NdtsmovS66P6UEyuWRWHw+GwoWZ1CDYoOhwOJ2uaxdQoZHpEso5s5M/hcFgR\nou7H8+fP3717d21tLcdxS5cu3blz54IFC7QS9fl83bp1A4Di4mKPxyMGVlRUAMDu3bu3bds2d+5c\nMXD//v0//fRTYWHh2LFjM78ZOZrFBkc4H9eB2MbVBmm22+2qLUo2m81ut3Oczt1xYoZot9spFMxk\nNwino1mnWqOP3W5P/JgwuWZV7Ha7PfsFBouagahsFjVDLJMhmKDWVTJPRCD9bQBqrZXqQt966629\ne/dOmDDBarWuWbOmvLxcp2B2uVyNjY1lZWWNjY0lJSVS+KpVq44ePfrwww+7XC4x5Pe//7140NDQ\nkNF9JOBrbVUN53m+paWF7LW08PsDRNKhqjngl449Hg/P84lxvF5vS4ugMwAwHA57vT4AaG5pofAl\nJ9ecOS0tnjxr1ju40vaNlhZP4ktrcs2qtHg8QQqaA+xpBoBWjewrDVpaWkJUCmafj5hmAPD5fBTy\nPF+rL/NEBEHIRv7cqVMn+Z/qjzAYDEoZsd/vz8/P10mxvLy8trYWAOrq6vr37y8Gbt++3ePxzJo1\ny+12Zy4aoQD28iCIIWAPK4sjZ7OK+hfztGnTrrjiijNnzixcuLCqqkpaBUyVysrKJUuWLFy4sKSk\npE+fPtXV1WvXrrXZbN99992cOXMA4JprriHeqZwkLHq8ods+ai8worP2SHbEICJoXgQxD3TyZ/WC\nefbs2UOHDt24cWMkEnnllVeGDRuml4TNJi4TJlJRUSF2MNPEDAWwCSSkTDJ2S+a+YnFotPsR3o6Q\nZGI6V0nzOkZu+0j0OnSWEc3CVpVMTWUW6E2tMEOWmyoMaVYpmE+fPv3yyy/PmTOH+BAtBEEQBEH0\nUeljLiwsfOONN44cOUJfDWIgDFUnESSXwB5WzHwUqHwxW63WAQMGDBkyZNSoUdLQrVWrVtEVRgYW\nH7eR2z6mtbcjrkySVdC8CGIe6LyP6n3MM2bMmDFjBoXLk8IMVU4WM9Ck+o+T6YcWkk0tc8hexeR9\nn6pOZXLNqmnReTlI5gMU+2sJQk2yGbLcVGHogaoXzIcOHZL/WVRU9MMPP5x//vlUJCEIgiBIx0W9\nYF69evWnn346evRou93+xRdf3HTTTc8999z48eOlFUKQ3IOd2iSC5BQMfclliQ5vACXqC4zU1tb+\n61//+r//+7/333+/urr66NGj69ate/vttymLQyij93ro7P9CZ2uYjgrm2ghiHui8juoFc0NDQ/fu\n3cXj4uLiQ4cO2Ww2c3e5mKBsYLB8SuaZJjfXWUgytcwheRV6fZ/pnph4puk1U0hN8yoMznEnC7Vc\n2tSlgQYM9YurN2Vff/31119//V133WWxWJYvX37VVVctX768tLSUsjgEQRAE6WioF8xPP/3022+/\nvWbNmkgkcuONN95xxx3bt29fsWIFZXEITczdIoIgOQu+eJj5KFBvyrZYLDzPFxQULFu2rFOnTlar\n9ZJLLikqKqIsLnNYfNpmncesvVY2i1ZmB7QugpgHI9fKTmk/ZjNghsyLyfIpiX7xZDpmBIHivE+i\nffm0+j4ZXCub6OOkNP6AbGoMvtIU5zGzB0PPU/2L+a233nrnnXd69eol7seM47E7Agx5LYLkEvjq\ndXgDKFH/Yk5pP+Y0IL5Js8PhVQ3nOI7ahtB2u51IOkZpdrlcFotKRS0/P9/tdtts6q4CAFar1el0\niim48qzZ0CmHlJ1FXC6XO/ua8/Ly0jvR5XJxCS0EJtesisvlcjs0XYgULGoGAKfTRyopFjVDLJMh\nmKAqRDRnI3+WSlsJAvsxp4HXq16Opk0gEFAN53mB+LW0SDRuehil2efzRfhIYpzW1lav1xIKhbUS\nCUcifr9fTEEIqbfBEISUnUV8Ph9kX3MwGEzvRJ/Px/PKzwmTa1bF5/Nx4axXJljUDADi60MEn89n\nYU0zRDOZrMsmopkXaOTPBPZjNgNm6A0ygYSUSX4d7HbiyP7NNlnYczf7kO0XZ1EzwbR0rkK2X5xg\nWrTA/Zh1YEgy7seMRGHIaxEkl2Bo4YsswWIxn1VwP2YEQRAEMRG5vh8zgzUxAzXrzWPWO4s9IzME\nfk4hiHkw3X7M//znPwcPHpx9SelghqKBxQw0+f7j9tKhuVY20dRIJqZ9lbT3Y046kDik+/JJpqYJ\n4b58golRgloulKvZnUlQL5gvvvjixMCqqirTFswIgiDMwt7+N2RhsZjPKlmfdIEgCIIgSPLkeMHM\nYjXMyLWydX7CtbINAs2LIObByP2YmcMMeReLGWhy62AnEUf2b7Yh2+pFaW/jtPuY1U40uWb11Kh4\nB4uayUIxF2Kv+Z2hB5ojBTOSOcz4LILkFvjqsfhVk1WwYEYQBEEQE6E+KlsQhOrqanFl0VAo9Oij\nj3788cfEV8ymAIsVMXNq1ut+pqeiI4LmRRDzYOR+zLNmzVq9enV9ff2QIUMOHjw4ffp0ACgrK6Oh\nKC3MsMaF8QpSh9w85mRTyxwW+xHTvorqiSbXrJ4ai77B4CuN+zHrwky/uHpT9tq1a7/99ttZs2Y9\n88wze/fuPXDgAGVZCH1YzIYQJAcww3eFsXR4AyhRL5jPnj0LACNGjNi0aVPfvn31180Oh8PPPvvs\nY489tnz5csVPjz/+ONndwRAEQRAkt1EvmCdOnHjttdeOGDHi1VdfnTNnTrdu3XSS2LFjR2lp6bx5\n806cOHH06FEx0OPx/OEPf9i1axd5yanAYj3MrPOYdX5i0czMgOZFEPNApyNJvY958eLF3377bffu\n3ZctW7Z+/fqlS5fqJFFTUzNgwAAAKCsrq6mp6d27NwAUFBQsWLBg3rx58pjvv/9+c3Ozy+W6+uqr\nyd0CAIA9L081nOO4/Px8stfSwmZTN2aq0NRslWl2OB2c2lLDeXmO/Px8q1VzG3OLxZKXlwcAznxn\nvoOMEXSwErKziNOZn+/MvmZrmpdwOJyJD8XkmlVx5lPRbNP00jSgoxkA7Hb17CsNnM78/Hw6mu0E\nU8tz5FHI9LSKiZTIRv4cDocVIXr7MQPAqFGjRo0apZ+oz+cTP6mLi4s9Ho8UbrFYFHnKyZMnT58+\n3alTJ51cPj0sFs15X8SvpYVqqZYe1DTL7aZlQ6vVarVade6O4zjxXIvFQkG5zrNOLzUza1Y90eSa\nVRG9iGCCqrCoGYjKZlEzsOYexKVGIhFFiErBLO7HfOutt5533nnJJOpyuRobG8vKyhobG0tKSnRi\n/u53vxMPGhoakhOcLFo92TzPy+sKWSUYDBJJxyjNPp+P51VaaXw+n8djCSXU6STCkUhraysAeL1e\nazjrtXVSdhbxer22iHk1+3w+PqEp2+SaVfF4PDbWfIOOZtDOvtLA4/HYs+8bQFQzALS2tno8WZdN\nRDPPCxTyZwL7MZeXl9fW1g4fPryurq7dz+ssgd1w6ZHccptJL8lJaUoM0Wk8BNPKwlWM3PaRbGo4\nXYoK1EYkoHGySgr7MWtRWVm5ZMmShQsXlpSU9OnTp7q6eu3ateLUZ4Qh2HFaBMkp8M3DzEeBesG8\ncuVK+YCvyZMnq+7QHE3CZps5c6b0Z0VFRUVFhXj8P//zP4R0IgiCIEiHQFkwX3DBBQBQV1e3YcMG\nMSQcDhcVFdHWRQia9TBS1zJyupTe3o647aMxoHkRxESQG+Srg7Jg3rJlCwDce++9L7zwghRo/oIZ\n867skdSyneKSnNmWkgVM3i9u6LaPZJfkpLOMKNHUWKwTUSk2AF/2LKMsmIuLiwFg5cqV8hHhfr+f\n2gQexCjYcVoEySmYrAEQpaPffwLq87ouvvjigwcPisebN2++8MILKUpCEARBkI6L+uCv559/ftKk\nSRMmTDh27NiuXbtee+01yrJIQbMmSupaVDXr/pn0T1Trux2tco2fUwhiHui8j+oF88iRI+fNmzdp\n0iSr1frpp5+a/4sZM6/skZRpOS7ZmCbD5J6jKs/kmtWh0vdJ2DK0+msJQs01WHRChhSrF8x33HHH\nTz/9tG/fvubm5ilTplx22WV/+ctfKCtDKMPgi4YguQC+eZj5KFDvYx43btxnn33Wr1+/X/7yl1u3\nbnW5XJRlIQiCIEjHRL1gnjx5clVV1cyZM8Ph8EcffaTYJIohaHZ/kroWVc2C3p+Z/5QNWKxcZyLZ\nqNtl0MwIknXo5D/qTdnz58/fvXt3bW0tx3FLly7duXPnggULaMhJF8xEskgSHW1ihxOL3U4m70dU\nN6i5NavComswqZlWXsigbVjKoNS/mN9666133nmnV69eVqt1zZo1b7/9NmVZCH0Y8loEySXwzaM8\ns8P8qBfMwWAwFAqJx36/n8IW1giCIAiCgFbBPG3atCuuuOLIkSMLFy689NJLp06dSlkWKXAeczvX\niq+o6k1W1lkrm5yeZGCxcp3JMzXqc4rFzzgGJSOMQcfH1PuYZ8+ePXTo0I0bN0YikVdeeWXYsGFk\nrypt80yKvLxm1XCO44hfS1tDHpF0jNLszM/n1DovHQ6n2+222TS3MbdarQ6nEwBcbrfbZc+GTjmk\n7CySn+9yu82r2elUeSgm16xKvivf7SaZoCosagaAPEcLqaTy812UNOcR0wyxTIZggqqQsjNxqVL7\ntIRmbjt27NixY8eSvbyE1+slm2AgEFANFwSB+LW0CAaDRNIxSnNra6vqZ7Hf7/d6veFwWCuRSCTi\n9/sBwOfzOQVNjyIFKTuL+Hw+r/ZbQIq0Nas+FJNrVsXn83lBmfsQh0XNoJ19pYHP5/NyjGmGWCZD\nMEFVSGmmIFW9KRtBEARBEEPI9YKZ4sQSYn1yxmlOryMZ5zG3S0b94gZNjupoffkIkgx0fCxHCmac\n6pM5WiZMxrLR/ZgZfAgmL35U5ZlcsypM+gaD605TMzPhra+JpqZ5FXacMEcKZgRBEATJDbBgRhAE\nQRATkeMFM9UmbkJ9gTQ1K/uY9eJq3x3dPlCG2qMkMpvHbMwNM2lnBhv5Ebag42O5UjAzuHqw2dBy\nuGQyaPFcFrNFkxc/qvJMrlkVBiUz2V9LrRpH9kJ0ZDPkhLlSMCMIgiBIToAFM4IgCIKYiBwvmOmu\nlU1oP2aaDS7xXQB6my5rtwPRblllsNsioz5mcjJSuy5DDX8xWNSMsAXOY04BfCEzR3sec/vGZXke\ns6lRlWdyzaqwuNIAxf5ackkRS4nqhWjNY2bGCXOkYEYQBEGQ3AALZgRBEAQxEQT2qAmHw4sWLfJ4\nPH379p08ebJOIH1otlyQuhZVzfFtO+l1JFNfK5uZ9qg2MugXN+x2O1hfPoIkAx0XI/DFvGPHjtLS\n0nnz5p04ceLo0aM6gdmDxRm0ZkPLgknNYxb0UjAzLBbzTGo2WkAa0OuvJbhWNr31vc2bmuZVaFyE\nDAQK5pqamrKyMgAoKyurqanRCUQQBEEQRB8CTdk+n69bt24AUFxc7PF4dAJffPHF06dPd+rU6Z57\n7sn8unIOnTmmGt4a4ud8/iPZa2mx+2gzkXToam6Sjv+6/YQ3yCfGeWnvqY+qm779qVUrkbqmwIqv\nfwKAxzcdc9mt2dApR645c57YfJyK5rPpnfjX7SdaAmFFoMk1q/LEpmPuPAK5jT57CL2DInQ0A0BN\ng5dUUn/eTEnzoUYfwdRe+eqn1YdIPjtViGgOhHnB7uzkIGnkYDCoCOEyb0X5+9//PnDgwOHDh7/9\n9tslJSWXXXaZVuD777/f3NzscrmuvvrqDC+q4OPvfqpp8AGA1WoFgEgkQjb9rMJxnMViYU6z3W5P\n9CeTY7Va2bIzANhsNp7neV6lzmRaLBYLADCn2WazhkNhnqmeAlO5tNXCRfj2rWe328PhMFs9Mlar\nled5UfPvRvZ25ZGsGYfD4cLCQnkIgWK/vLy8trZ2+PDhdXV1o0aN0gmcMGGCeNDQ0JD5deWMO7dg\n3LkFAFBQUMDzvM9HsjaXbTiOczqdra2an6QmxGKxdO3alfhzzDZut9vrJfZ1QofCwsLW1la26kB2\nu53jOOY0u93us2dJthNQgEWX7tq1a1NTk3nqE8ngdDpDoVBUcySY7dyaQB9zZWXlsWPHFi5cWFJS\n0qdPn+rq6iVLligCM78KgiAIgnQECDRlp0H2vrTwi5kO+MVMDfxipgN+MVOD+S/mLCAOyZLABUYQ\nBEEQxERgwYwgCIIgJgILZgRBEAQxEVgwIwiCIIiJMGbwV/Z46aWXunTpcssttxgtJMdpbm6ePHny\ne++9Z7SQ3OdPf/rT+PHjL7roIqOF5DgHDhxYtmzZ888/b7SQ3OfOO+/885//3Lt3b6OFmBcaa8TQ\npKmpSVxjBMkqkUiEwhLoCAA0NDSwNWKfUQKBwKlTp4xW0SGor68Ph5Xr2SFycq0pu7CwsHPnzkar\nyH2sVitWeOnQrVu3/Px8o1XkPg6Ho6SkxGgVHYKePXvabLn2TUiWXGvKRhAEQRCmybUvZgRBEARh\nGibbE3w+35NPPhkOh91u94MPPmixWBYtWuTxePr27Tt58uRwOCz/0+fz/eUvf4lEIt27d7///vs5\nBrd/Nwp9O4txHn/88dmzZzudToXZjdTNICmZWhE5Ly/PUO0skZKdxT+//vrrDRs2zJo1yzDRbJKS\nqQVBWLZs2alTpzp37nzfffdhLm195JFHjNaQMmvXru3Wrdt999137NixhoaG+vp6QRCmTZv26aef\nnnfeeQcOHJD/uWfPnuLi4unTp2/fvr24uLi4uNho+cygb2eLxfKnP/1p//79N998s81m27Ztm/xX\n7OlPiZRMrYgsbnyOJENKdgYAn8+3dOlSt9uNo+JTJSVT79mzp6WlZfr06cFg0OFwFBQUGC3fYJhs\nyi4vLx8zZgwAFBQU2O32mpoaMW8qKyurqalR/Nm9e/e6urozZ840NDQUFRUZq5wt9O1cUFCwYMGC\n//iP/xAjK341TjWTpGRqRWTDRDNISnYGgBUrVtx0001GqWWalEx98ODBSCSyaNGi1tbWnj17Gijb\nJDBZMFdUVBQXF+/evXvbtm3Dhw/3+XziCuDFxcUej0fxZ//+/Q8fPvzUU0/ZbLYuXboYrZ0l9O0M\nABaLRWp0SvwVSZ6UTK2IbKRu1kjJzrt37+7Ro0ffvn2NVMwsKZna4/HU19ffdtttO3fu3Ldvn5G6\nzQGTBTMArFq1asuWLQ8//LDL5XK5XI2NjQDQ2NhYUFCg+POdd9658847n3zyyUGDBm3cuNFg3ayh\nY2dFTP1fkXZJ3tSKyNSVsk3ydv7ggw++/fbbpUuXHjhw4LPPPjNCLNskb2q32z1u3LiSkpJLL730\nhx9+MEKsuWCyYN6+fbvH45k1a5bb7QaA8vLy2tpaAKirq+vfv7/iz1AoJE4J43keZ7WnhL6dFZH1\nf0X0ScnUishI8qRk5yeeeGLu3LnTpk0bOHDglVdeSV8t06Rk6v79+x86dAgAjhw50qNHD+piTQeT\ng78++eSTAwcOfPnll59//rnD4bjooovWr1+/efPmkpKS0aNHl5aWyv/s16/fihUrvvzyy6ampttv\nvx0ntiePvp3FOF988cXo0aNtNpvC7MYqZ46UTK2I3K9fP2PFM0RKdhb/9Hq9+/fvx8FfqZJq7rF6\n9erVq1cLgnDLLbdYLEx+MRIEFxhBEARBEBPR0SsmCIIgCGIqsGBGEARBEBOBBTOCIAiCmAgsmBEE\nQRDERGDBjCAIgiAmAgtmBOmILFiw4PnnnzdaBYIgKmDBjCAIgiAmAgtmBOkohEKhqVOnnnvuuSNH\njty/fz8ANDc3X3vttX369CkvL9+wYYPRAhEEAcCCGUE6Dq+++mptbW11dfXHH3+8ZcsWAKiqqurS\npcuPP/74t7/97aOPPjJaIIIgAFgwI0jH4csvv7z33nvz8vJKSkpuueUWABg1atTmzZvnzp1bUFDw\n3HPPGS0QQRAALJgRpOMg32jParUCwKBBg/bt29erV69HHnlk4sSJhqpDECQKrpWNIB2Fl19++eOP\nP37//febm5tHjBhx3333NTU1RSKRRx999MSJExUVFc3NzVLJjSCIUeBWSwjSUbjrrrv27dv3s5/9\nrHv37v/5n//ZpUuX66677rbbbluxYoXdbl+8eDGWyghiBvCLGUEQBEFMBPYxIwiCIIiJwIIZQRAE\nQUwEFswIgiAIYiKwYEYQBEEQE/H/AYI8bFO1rApkAAAAAElFTkSuQmCC\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%R -w 9 -h 12 -u in\n", "nfl_sunday <- function(ds) {\n", " dates <- as.Date(ds)\n", " month <- as.numeric(format(dates, '%m'))\n", " as.numeric((weekdays(dates) == \"Sunday\") & (month > 8 | month < 2))\n", "}\n", "df$nfl_sunday <- nfl_sunday(df$ds)\n", "\n", "m <- prophet()\n", "m <- add_regressor(m, 'nfl_sunday')\n", "m <- fit.prophet(m, df)\n", "\n", "future$nfl_sunday <- nfl_sunday(future$ds)\n", "\n", "forecast <- predict(m, future)\n", "prophet_plot_components(m, forecast)" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "image/png": 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in3msREXapZUAWFxcjEWLFiEnJwcq1f9PavnDDz9oY3iT0ifCA3+90g3Dlqbj\n1Q2nsfVsMX4akwRXWwuxSzMYPx8rwOPLjiDUzRbfDotFtxC3O38SEZGJC3SxwZLHW2Fm/0i8+/sZ\nrDxagKRTl9EnzB0f9AtHu0BnsUskI6KVU8CDBg1CRUUFevXqhf79+ze90c2521ti19QOeK9PKHac\nK0X0Zzux50Kp2GUZhMVplzDyP4cR42WPH0YmMPwREf0Pb0crLHo0AdnTe+KZjkE4eKkM7efuRbd5\n+7DrfInY5ZGR0MoRwNraWnz66afaGMpsSCQSvN83Ar1C3TFq2RF0/3Y/3u4dhnd6h5ntHa7f7M3G\nc7+eQNsAJ8wfFodWfo5il0REZLDc7CzxzdBYfNwvHB9vy8KPh3LR7dtUtAtwwof9ItArzI2XGNEt\naeUI4IABA7Bp0yZtDGV2OrV0xYlXu6JXmDs++OMsun27H4WV9WKXpXczt2fhuV9PoFuwKxaPTGD4\nIyK6S042Fpg1MBo5b/fCWz1DcOFqLfqkHEDS7D3YcOoypx+jm9JKAPzqq68wYMAAWFlZwcHBoWk+\nQLo7jtYW2Pyvtvj8kUgcyi1HzOd/YsuZy2KXpReCIGD6ptN4c9MZ9At3x3ePxiHSkxNmExHdKztL\nOf79cCRypvfEB33DcbmqHo98n4bYz//EmuMF0GgYBOn/aSUAVlVVQaPRoL6+HpWVlaiqqhJlGThj\nJpFI8Eq3EOx7riOcrBV4aFEaXl53Ekq1RuzSdEajEfDCupP4ZPs5DInxwsIRcQh2sxO7LCIio2Zt\nIce7fcKQPb0nPu0fiapGNYYvOYyIT3fipyN5UDMIErQUAAVBwLJly/DRRx8BAHJzc5GWlqaNoc1O\nkp8Tjr/cFUNivPDl7gtoN3cvLl41vRng1RoBE1cfw9w92Rid6Itvh8UiwNlG7LKIiEyGhVyG13qE\n4PybPfDVoGioBQGjlx9FyIzt+OHgJZM+wEB3ppUAOHXqVKSmpjZN/mxnZ4dnnnlGG0ObJVtLOf77\nZGssGBaLzCvViJ21C2uOFYhdltY0qjR4fNkRLD6Ui3+1DcDsgVEmveg5EZGY5DIppnVpiaw3emDB\n8FhYyqSYsPoYWny8HfP35aBBpRa7RBKBVgLgwYMHMW/ePFhZXfsl7uzsjMbGRm0Mbdae7hCEtBc6\nwd/JCsOXHsak1cdQrzTu/6j1SjWGLUnH6mMFeL5zC3w6IBLu9gx/RES6JpVK8HT7IJx+vTt+HJkA\nZxsFpv73LwR8tA1zdp1HbaPqzoOQydBKAFQoFFCr1U23mxcXF0Mq1crQZi/K0wFHX+qKsUm+WHTw\nEpJm7zbatSCrG1To/10aNp6tG3csAAAgAElEQVS6jDd6hODDfuFwtuEE2ERE+iSRSDC+tT+Ov9IV\nK8cmws/RCi+uP4WAj7Zh5vYsVNUzCJoDraS0adOmYciQIbhy5QqmT5+OTp064a233tLG0ATAQi7F\n0scTsezxVsivqEfCF7uw5FCu2GXdk/I6JfosPIBd50vwQd9wTO8VCgcrhdhlERGZLYlEgscSfHH4\npa5Y+0QyQtxs8eamM/D/aCs+/CMT5XVKsUskHdLKRNCjR49GUlIStm/fDkEQsHbtWkRGRmpjaPqH\n0Ul+aB/ojOFL0/HEygz8nnkFKSPiYWeplS+jzhRXN6DPwgM4UVSFmf0jMbVjEGwsDLtmIiJzMijW\nG4NivfH7mcv497ZzeO/3s/h853k817kFXu4azOVKTdAD/xZWq9WIjo7GmTNnEBERoY2a6DZautki\n7fnOmPbrCSxIvYgDF8ux9snWiPMxzHkX8yvq0HvBAVworcWXA6Pwr3aBsFLIxC6LiIhuom+EJ/pG\neOLPcyX4aOtZzNh+DnN2X8CUDkF4rXsIPO0txS6RtOSBTwHLZDKEh4fj0qVL2qiH7oJcJsW3w+Pw\n3yeTUVmvROs5u/HN3myDm+09u7QWnb/Zj0vldfh6SAyebh/E8EdEZAS6hbhh+5QOSH2uI7q2dMWc\n3RcQ+NE2PLPmL+RX1IldHmmBVs7DlZWVITo6Gm3atIGtrW3T4+vXr9fG8HQLg2O80cbfCcOXHMZz\nv57AH5nFWPp4KzhZi39t3ZnLVei18ACq6lX4dmgsHk/0hVzGG4OIiIxJuyAXbJ7UDkfyKvD+75lY\neOAiFh28iHFJfni7dxiCXDh/q7HSSgCsr6/Hhg0bmj4WBAGvv/66NoamO/BxtMbeZzvizU2n8cWu\nC4j5/E+sGZ+MtoHOotWUkV+BPgsPQCMISBkRh+HxPpBJuSA5EZGxSvRzxPoJbXCqqBLvbMnE0sN5\n+DE9D4+38sE7vcMQ6s5VnIyNVgKgSqVC165dmz1WV8dDxPoilUrw6YAo9ApzxxMrjqLjN/vwUb9w\nvN49BFI9B68DF8vw0KIDsJTLsGBoLAbHeOu9BiIi0o0oLweseaI1soqr8O6Ws1idUYjlR/IxLM4b\n7/UJR7QX13I3Fg90Tm7+/PmIjY1FZmYm4uLimt5atGiBuLg4bdVId6l3mDuOv9INXVu64K1NZ9An\n5QCKqxv0tv+d50rQa0Eq7Czk+G5EHIbEMvwREZmiUHd7rBibhMw3umN0oh82nLqMmM//xKAf0nA0\nr0Ls8uguPNARwMcffxwPPfQQ3nzzTcycObPpcXt7e7i4uDxwcXTvXG0tsG1ye3y8NQsfbzuL6M/+\nxKpxSege4qbT/W46fRnDfkyHj6MVvh0aiz7h7k0TgxMRkWkKdLHB0sdbYWb/SLz7+xmsPFqA9Scv\no2+4Oz7sF442AeJdjkS390BHAB0dHREUFIQVK1YgMDCw6Y3hT1wSiQTv9AnDzikdYGMhQ8/5qZi+\n6TRUOlr4++djBRi8+BCCXGyQMjwOfSM8GP6IiMyIj6MVvns0AdnTe+KZjoE4cLEMbb/ai+7f7see\nC6Vil0c3wdsyTViHFi44/nJX9I/0wCfbz6HzvH1av33/x7RcjPzPYUR52iNlRBx6hrlrdXwiIjIe\n7naW+GZoHLLf6okXurTA8cJKdJm3Hx3m7sW2s8UGN12ZOWMANHEO1gr8NrEtZg+MwrGCSsR89ic2\nnCzSytjz9mbjyVUZaO3vhJThcejc0lUr4xIRkXFztrXA7EExyJneC2/0CMG5khr0XngArefswcZT\nlxkEDQADoJl4oWsw9j3bER52lnjkh0N4/tcTaFTd/ynhmduz8OyvJ9C1pStSRsShjYjTzhARkWGy\nt5JjRv9IXHy7J97vE4aCinoM+D4NvZacwn+PF0KjYRAUCxdkNSOt/JyQ8XIXjF+Zgbl7s7H0cC7s\nLeWQSyWQS6V//yuBXPb/Hyv+8b5cJoGqsQEa6UVsyypBv3B3zB4UjQhP3vZPRES3Zm0hx3t9w/Fm\nzxB8ufsCvtl9HsOWpCPc3Rbv9w3HCM4Xq3eiHQHMzMxEQkJC05uDgwPmzJnTbJs///wTjo6OTdt8\n+OGHIlVrOqwt5Fg9LhmLH0tAt2A3JPg4IsLDHi1cbODjaAVXWwvYWcihkEqgFgTUNKpxtbYRhZX1\nyLlai/NX65F9tRZjk3wxb2gswx8REd01C7kMb/QIxb4JMZg9KApKtYBRy44gdMYO/Jh2CUod3axI\nNxLtCGB4eDgyMjIAAGq1Gr6+vhgyZMgN23Xu3LnZKiOkHU+08ccTbfzvaltBECAIgEYQUFBYCE8v\nL0glEii4tBsREd0HhUyKF7oEY1qnlkg5cBGzd1/Ak6uO4Z3fM/F2r1A80doflnKuHa9LBvEbfPv2\n7QgODkZgYKDYpdBNSCQSSKUSyGXXTgVbymUMf0RE9MCkUgkmdwjCmde7Y/Fj8XC0VGDyL38h6OPt\nmLP7POqUarFLvG8FFXU4XlCJvRdKsT2rGIdyy8QuqRmDuAZw5cqVGDVq1E2fS01NRXx8PHx8fDBr\n1ixER0ffsE1KSgpSUlIAAEVFRSgoKNBpvTdTXFys932KwRz6NIceAfZpSsyhR4B9mpKb9djHT47e\no0PxW+ZVzEsrwovrTuHD3zPxRII7nkhwh5uthQiV3p7m77uZJQDK61SobVShWqlGXaMaVQ0qyOor\nAQBKtQaNMgkKZIazTK5EEPle7MbGRvj4+ODkyZPw9PRs9lxlZSWkUins7OywadMmPP/888jKyrrt\neMnJyUhPT9dlyTdVUFAAHx8fve9X38yhT3PoEWCfpsQcegTYpym5U4+CIOCnI3n4fOd5HCusgoOl\nHMPjvPF0h0AEOtvA3lIGa4VMr4sOqNQaZF+tRUW9EpYyKZQaASXVjRAk1+rVCIBCKoGFTAqFTAoL\nmQQVpVfg5OaJhr9n3ejQQvcLZdxtDhL9CODmzZuRmJh4Q/gDAAcHh6b3H374YUydOhUlJSVwc9Pt\nsmZEREQkHolEgtFJ/hgQ5YXlh/OwJD0PPxzKxapjBRgY7YnB0V5wt7OEm60CCrkUEkggkwJWcikU\nMhlsFDJoBAEKmQRqDSCXSaDWCKhXqiEAkEv//lilhkYDSCT4+/ImCSzlUijVAjSCgDqlGg0qAbVK\nFQoqG6DRCLBRyFClUUEqkcDJWgEAkEpgdCtgiR4AV6xYccvTv0VFRfD09IREIkFaWho0Gg1cXTnZ\nMBERkTlwtFbgX+0D0TXEFdvOFuPXv4qw4mgB1p24jKGxXhgS6wVHq2shTK0RIAAQcO1fiYBryQ4A\ncO1k57VznhJIrv0DQIAEkuufAUEQrgU54drH1z9dKgEcrRT/mKrG+G9QETUA1tTUYOvWrVi4cGHT\nYwsWLAAATJ48Gb/88gvmz58PuVwOa2trrFy50ugSNhEREd0/hUyKaC8HOFkpEOpmhwltG7DscAGW\nH8nHz8cLMTTWC2OT/OBhZyl2qUZF1ABoa2uL0tLmi0RPnjy56f1nn30Wzz77rL7LIiIiIgPj62QN\nawsZDudW4I0ewZjULgA/HsrF6owC/HK8EIOivTA+2Q/eDlZil2oUOJcHERERGQUXGwt0bOEMmVQK\nBys53u8bjjVPJGNApCfWnijC4B/T8eHWs8gtN5y7bQ0VAyAREREZDRsLOdoFOsPZWoEr1Q3wdbDC\n9F6hWPtkawyP88bvZ4oxbEk63tlyBtlXa8Uu12AxABIREZFRsZBL0crPCX6OVrhS0wiNIMDL3hKv\ndgvGuqdaY3SiL3aeK8WjSw/j9Y2ncba4WuySDY7odwETERER3SuZVIIYbwdYKmTIKq6Gu60lZFIJ\n3Gwt8Hznlhif7I/lR/Kx+lgBtmeVoEtLF0xoE4BoL65hD/AIIBERERkpiUSCMHc7RHnao7imoWnC\nZQBwslbgmY5B+O2p1ni6XQAy8isxfmUGnvv1BDLyK0Ss2jAwABIREZFRa+Fqi7YBzqhpVKG2sfn6\nwQ5WCvyrXSB+m9Aaz3YMwpkr1Zj483E8/ctxHMoth8gLoomGAZCIiIiMnpudJdoFuqBepUZNo+qG\n520t5HiitT/WP9UaL3VpiYtldZiy5i9MWH0M+7Kvml0QZAAkIiIik2BvJUe7QBco1QKqG24MgQBg\nrZDh8URfrHuyNd7oHowr1Y14ft1JjFuRgT/PlUBjJkGQAZCIiIhMhr2VHG0DnaEWcMsQCACWcimG\nx/vg1yeS8XavUFQ1qPDKhtN4fPkR/JFZDLXGtIMgAyARERGZFDtLOVr7O6FRrbnhmsD/pZBJMTjG\nC7+MT8aHfcOhUgt4a/MZPPqfw9hw6jJUJhoEGQCJiIjI5Fw/ElinVKNeefsQCAByqQQPR3pg1dgk\nzHw4AhYyKd7/4yyGLUnHr38VQqnW3HEMY8IASERERCbJwUqBNoHOqGlU3/FI4HUyqQS9wtyxfHQr\nfPFIFByt5Pj39nMY/GM6Vh8raDbVjDFjACQiIiKT5WStQLsgZ9Sr7u5I4HVSiQRdg12xZGQCvh4c\nAy97S3y28zwG/pCGZUfyUHcPYxkiBkAiIiIyaQ5WCiT7O6GiQXXP1/RJJBK0D3LGdyPisGBYLFq6\n2mDO7mw88kMaFqfl3vZGE0PGpeCIiIjI5DnbWCDWywF/FVbCzdYCMqnknj5fIpEg2d8Jyf5OOFZQ\nie/TLmHe/hwsPZyHkQk+GNnKB45WCh1Vr308AkhERERmwd/ZGlFe9iiuaXyg+f7ifRwwd3AM/jMq\nAUl+jlh08BIG/nAI3+zNxtXaRi1WrDs8AkhERERmI8jFBmqNBmeu1MDDzgJSyb0dCfynSE97zHok\nClnFNfjh0CUsSc/DiowCDIv1xrhkP4MOWTwCSERERGalpastgl1tUVzTqJUl4ELdbTHj4Uj8PC4J\nvULdsCojHwN/SMPctMsoqqzXQsXaZ8jhlIiIiEjrJBIJwj1soRE0yCmrg6edpVbGDXKxwQd9w/Gv\ntgH4MT0PG04VYeO5dDwU4Y6xSX5a2Ye2MAASERGR2ZFIJIjwsEedUoPS2ka42lhobWw/J2u83SsU\nI0KtsfZCPdadKIJaAzya4Ku1fTwoBkAiIiIyS1KpBLHeDjh0qQwV9Uqt38XraavA6939MCbRTyun\nmrWJ1wASERGR2bKQS5Ho7wSZRIKqet3M6edmawF3LZ1m1hYGQCIiIjJr1goZWgc4QS0IqGk0zomd\n7xUDIBEREZk9Gws52gQ4o16pQb3KuJd5uxsMgEREREQA7K3kaB3ghIp6FZRqjdjl6BQDIBEREdHf\nnG0skOjriNJa5T2vG2xMGACJiIiI/sHLwQrx3g4oqWmA2kRDIAMgERER0f/wc7ZGpMeDrxtsqEQL\ngJmZmUhISGh6c3BwwJw5c5ptIwgCpk2bhpCQEMTFxeHIkSMiVUtERETmpqWbLcLcbVFcrZ0l4wyJ\naBNBh4eHIyMjAwCgVqvh6+uLIUOGNNtm8+bNyMrKQlZWFg4ePIgpU6bg4MGDYpRLREREZijEzRZK\ntQY5V+vgYWcBiUQidklaYRCngLdv347g4GAEBgY2e3zdunUYN24cJBIJ2rVrh/LychQWFopUJRER\nEZkbiUSCSE97tHC1QXGNUuxytMYgloJbuXIlRo0adcPj+fn58Pf3b/rYz88P+fn58Pb2brZdSkoK\nUlJSAABFRUUoKCjQbcE3UVxcrPd9isEc+jSHHgH2aUrMoUeAfZoSY+zRQRBg1VCNi2UqOFrfXXyq\nLr8KAFCqr50+LrCs11l990r0ANjY2Ij169djxowZ9z3GpEmTMGnSJABAcnIyfHx8tFXePRFrv/pm\nDn2aQ48A+zQl5tAjwD5NiTH26OmlwaHcctQq1XC6y3WDndw80aC6Nqegj4+LLsu7J6KfAt68eTMS\nExPh6el5w3O+vr7Izc1t+jgvLw++vr76LI+IiIgIACCXSZHo5wi5RILqBuNeMk70ALhixYqbnv4F\ngIEDB2Lp0qUQBAEHDhyAo6PjDad/iYiIiPTFUi5Dkr8TGlTGvWScqKeAa2pqsHXrVixcuLDpsQUL\nFgAAJk+ejIcffhibNm1CSEgIbGxssHjxYrFKJSIiIgIA2FleWzIu9WIZpFYSWMhFP552z0QNgLa2\ntigtLW322OTJk5vel0gkmDdvnr7LIiIiIrotZxsLJPk64nBeBVxtLSCXGtf0MMYXWYmIiIgMgKeD\nFaK97FFSY3wTRTMAEhEREd2nQBcbtHCxNro5AhkAiYiIiB5AhIc93GwVKK8znhDIAEhERET0AKRS\nCWK9HQAAtY3GcWcwAyARERHRA7JSyNAmwBl1SnXTxM+GjAGQiIiISAvsreRo5eeI8jolNAZ+UwgD\nIBEREZGWuNtZItzDFleqG6DSGG4IZAAkIiIi0qJgNzsk+jqisl6FRgM9HcwASERERKRl3o7WiPKy\nR1mdEkq14YVABkAiIiIiHXC2ViDZ3xFldUqoDeyaQAZAIiIiIh3xsLdClKc9DG2lOFHXAiYiIiIy\ndWEedghS2YhdRjM8AkhERESkYxZyw4pchlUNEREREekcAyARERGRmWEAJCIiIjIzDIBEREREZoYB\nkIiIiMjMSATBwGYmfEBubm4ICgrS+36Li4vh7u6u9/3qmzn0aQ49AuzTlJhDjwD7NCXm0CMgTp85\nOTkoKSm543YmFwDFkpycjPT0dLHL0Dlz6NMcegTYpykxhx4B9mlKzKFHwLD75ClgIiIiIjPDAEhE\nRERkZmTvv//++2IXYSqSkpLELkEvzKFPc+gRYJ+mxBx6BNinKTGHHgHD7ZPXABIRERGZGZ4CJiIi\nIjIzDIBEREREZoYB8BZyc3PRvXt3REVFITo6Gl999RUA4OrVq+jduzdCQ0PRu3dvlJWVAQAEQcC0\nadMQEhKCuLg4HDlypGms1157DdHR0YiMjMS0adNgSGfdtdnn66+/jpiYGMTExGDVqlWi9HMr99rn\nmTNn0L59e1haWmLWrFnNxtqyZQvCw8MREhKCmTNn6r2XW9Fmj0899RQ8PDwQExOj9z7uRFt93moc\nQ6GtPuvr69GmTRvEx8cjOjoa7733nij93Iw2v2cBQK1Wo1WrVhgwYIBe+7gTbfYZFBSE2NhYJCQk\nIDk5We+93Io2eywvL8fw4cMRERGByMhIpKam6r2fW9FWn5mZmUhISGh6c3BwwJw5c/TbjEA3VVBQ\nIBw+fFgQBEGorKwUQkNDhZMnTwqvvvqqMGPGDEEQBGHGjBnCa6+9JgiCIGzcuFHo16+foNFohNTU\nVKFNmzaCIAjCvn37hA4dOggqlUpQqVRCu3bthJ07d4rS081oq88NGzYIvXr1EpRKpVBdXS0kJycL\nFRUV4jR1E/fa5+XLl4W0tDThrbfeEj7//POmcVQqldCyZUvh/PnzQkNDgxAXFyecPHlS/w3dhLZ6\nFARB2LVrl3D48GEhOjpav03cBW31eatxDIW2+tRoNEJVVZUgCILQ2NgotGnTRkhNTdVzNzenze9Z\nQRCEL774Qhg1apTQv39//TVxF7TZZ2BgoFBcXKzfBu6CNnscN26csGjRIkEQBKGhoUEoKyvTYye3\np+3vWUG49nvF09NTyMnJ0U8Tf+MRwFvw9vZGYmIiAMDe3h6RkZHIz8/HunXrMH78eADA+PHjsXbt\nWgDAunXrMG7cOEgkErRr1w7l5eUoLCyERCJBfX09Ghsb0dDQAKVSCU9PT9H6+l/a6vPUqVPo0qUL\n5HI5bG1tERcXhy1btojW1/+61z49PDzQunVrKBSKZuOkpaUhJCQELVu2hIWFBUaOHIl169bpt5lb\n0FaPANClSxe4uLjor/h7oK0+bzWOodBWnxKJBHZ2dgAApVIJpVIJiUSix05uTZvfs3l5edi4cSMm\nTpyovwbukjb7NFTa6rGiogK7d+/GhAkTAAAWFhZwcnLSYye3p4uv5fbt2xEcHIzAwEDdN/APDIB3\nIScnB0ePHkXbtm1x+fJleHt7AwC8vLxw+fJlAEB+fj78/f2bPsfPzw/5+flo3749unfvDm9vb3h7\ne6Nv376IjIwUpY87eZA+4+PjsWXLFtTW1qKkpAQ7d+5Ebm6uKH3cyd30eSu36t/QPEiPxkRbff5z\nHEP0oH2q1WokJCTAw8MDvXv3Nsg+H7THF154AZ999hmkUsP+tfagfUokEvTp0wdJSUlISUnRdbn3\n5UF6zM7Ohru7O5588km0atUKEydORE1NjT7Kvmfa+vmzcuVKjBo1Sldl3pJh/08xANXV1Rg2bBjm\nzJkDBweHZs9JJJI7/iV97tw5nD59Gnl5ecjPz8eOHTuwZ88eXZZ8Xx60zz59+uDhhx9Ghw4dMGrU\nKLRv3x4ymUyXJd+XB+3TGJhDj4D2+rzdOIZAG33KZDJkZGQgLy8PaWlpOHHihK7KvS8P2uOGDRvg\n4eFhsPOtXaeNr+XevXtx5MgRbN68GfPmzcPu3bt1Ve59edAeVSoVjhw5gilTpuDo0aOwtbU1qGut\nr9PWz5/GxkasX78eI0aM0EWZt8UAeBtKpRLDhg3D6NGjMXToUACAp6cnCgsLAQCFhYXw8PAAAPj6\n+jY74pWXlwdfX1/8+uuvaNeuHezs7GBnZ4eHHnrIoC5oBbTTJwBMnz4dGRkZ2Lp1KwRBQFhYmJ47\nub176fNWbte/IdBGj8ZAW33ebBxDou2vp5OTE7p3725Ql2doo8d9+/Zh/fr1CAoKwsiRI7Fjxw6M\nGTNG57XfC219La//vPHw8MCQIUOQlpamu6LvkTZ69PPzg5+fX9NR6uHDhze72dAQaPP/5ebNm5GY\nmCjKpWEMgLcgCAImTJiAyMhIvPTSS02PDxw4EEuWLAEALFmyBIMGDWp6fOnSpRAEAQcOHICjoyO8\nvb0REBCAXbt2QaVSQalUYteuXQZ1ClhbfarVapSWlgIAjh8/juPHj6NPnz76b+gW7rXPW2ndujWy\nsrKQnZ2NxsZGrFy5EgMHDtRp7XdLWz0aOm31eatxDIW2+iwuLkZ5eTkAoK6uDlu3bkVERITuCr8H\n2upxxowZyMvLQ05ODlauXIkePXpg2bJlOq39Xmirz5qaGlRVVTW9/8cffxjMnfra6tHLywv+/v7I\nzMwEcO36uKioKN0Vfo+0/XN2xYoVopz+BcC7gG9lz549AgAhNjZWiI+PF+Lj44WNGzcKJSUlQo8e\nPYSQkBChZ8+eQmlpqSAI1+60mzp1qtCyZUshJiZGOHTokCAI1+7umTRpkhARESFERkYKL774opht\n3UBbfdbV1QmRkZFCZGSk0LZtW+Ho0aNitnWDe+2zsLBQ8PX1Fezt7QVHR0fB19e36a7mjRs3CqGh\noULLli2Fjz/+WMy2mtFmjyNHjhS8vLwEuVwu+Pr6Ct99952YrTWjrT5vNY6h0Fafx44dExISEoTY\n2FghOjpa+OCDD0Tu7P9p83v2up07dxrcXcDa6vP8+fNCXFycEBcXJ0RFRZnsz5+jR48KSUlJQmxs\nrDBo0CDh6tWrYrbWjDb7rK6uFlxcXITy8nJReuFScERERERmhqeAiYiIiMwMAyARERGRmWEAJCIi\nIjIzDIBEREREZoYBkIiIiMjMMAASEWnJ+++/j1mzZoldBhHRHTEAEhEREZkZBkAiogfw73//G2Fh\nYejUqVPT6gVz585FVFQU4uLiMHLkSJErJCK6kVzsAoiIjNXhw4excuVKZGRkQKVSITExEUlJSZg5\ncyays7NhaWnZtAwbEZEh4RFAIqL7tGfPHgwZMgQ2NjZwcHBoWhc6Li4Oo0ePxrJlyyCX8+9sIjI8\nDIBERFq2ceNGPPPMMzhy5Ahat24NlUoldklERM0wABIR3acuXbpg7dq1qKurQ1VVFX777TdoNBrk\n5uaie/fu+PTTT1FRUYHq6mqxSyUiaobnJoiI7lNiYiIee+wxxMfHw8PDA61bt4ZEIsGYMWNQUVEB\nQRAwbdo0ODk5iV0qEVEzEkEQBLGLICIiIiL94SlgIiIiIjPDAEhERERkZhgAiYiIiMwMAyARERGR\nmWEAJCIiIjIzDIBEREREZoYBkIiIiMjMMAASERERmRkGQCIiIiIzwwBIREREZGYYAImIiIjMDAMg\nERERkZlhACQiIiIyMwyARERERGZGLnYB2ubm5oagoCC97EupVEKhUOhlX+aCr6lu8fXVLb6+usfX\nWLf4+uqWPl7fnJwclJSU3HE7kwuAQUFBSE9P18u+CgoK4OPjo5d9mQu+prrF11e3+PrqHl9j3eLr\nq1v6eH2Tk5PvajueAiYiIiIyMwyARERERGaGAZCIiIjIzDAAEhEREZkZBkAiIiIiM2NydwGbk/Tc\ncqzKKMCeC6XIq6iHnYUMsd4OeDzRF49EeUIuY74nIiKiGzEAGqEThZV4af1JbD1bArlUgjhvB7Ty\ncUBNoxo7z5Xgl+OFiPGyx38eb4UEX0exyyUiIiIDwwBoRDQaATN2ZOGDP87CRiHDtE4t8GiCD+J9\nHGBnee1L2aBUY35qDj7emoV2c/di5ZhEDI71FrdwIiIiMigMgEaisl6JUcuOYNPpK+gT5o7Xugej\nW4gbZFJJs+0sFTK80CUYoxJ80X1+KoYvScfP45MxhCGQiIiI/saLxIxASXUDei5IxR+ZxXijezCW\njEpAzzD3G8LfP3k6WOHA850Q4maLsT8dxV+FlXqsmIiIiAyZqAHwqaeegoeHB2JiYm76vCAImDZt\nGkJCQhAXF4cjR47ouULxFVTUo+u3+3G8oBKfD4jEO33C4OVgdVef62ClwB9Pt4OlXIohiw+hUaXR\ncbVERERkDEQNgE888QS2bNlyy+c3b96MrKwsZGVlISUlBVOmTNFjdeLLr6hD53n7kHO1DnMHx2Bq\nxxawsbi3s/YBzjZYPDIB50tr8dL6kzqqlIiIiIyJqAGwS5cucHFxueXz69atw7hx4yCRSNCuXTuU\nl5ejsLBQjxWK52ptI5tzFIQAACAASURBVPqmHERRZQO+HRqDCW0DYCG/vy/XwGgvDI/zxoLUizia\nV67lSomIiMjYGPRNIPn5+fD392/62M/PD/n5+fD2bn5DQ0pKClJSUgAARUVFKCgo0Et9xcXFOhm3\nTqnByF/O4uyVWnzSwxfdfWS4crnogcZ8t6M7Np2+jOd+OYLVj0ZoqVLt09VrStfw9dUtvr66x9dY\nt/j66pYhvb4GHQDv1qRJkzBp0iQAQHJyMnx8fPS2b23vS6XWYPDiQzhcUIOZ/SPxXJcWsJTLHnhc\nHwCv9ajH+7+fxbEKGR6K9HzwYnVEn18/c8TXV7f4+uoeX2Pd4uurW4by+hr0XcC+vr7Izc1t+jgv\nLw++vr4iVqR7L//2f+zdd0DVVf/A8fdl741sQWQjigjuCeIWS3OV5shs2LKpTSsrG082rKfHhqtS\nsxzlKmduEcSJIio4EJQtQ+b9/v7oF08+Dhx3AZ/XX14495zPPVy/93PP94xU1hy7xEuxATzexU8j\nyd/fnu/REhdrM2b8fkJjdQohhBCi4THoBDAhIYGFCxeiKAp79uzB3t7+mtu/jcm/d2Xy2fYMHojy\n4vmeLes2d9YUa3MTXujZksRzRWw6YTjD0EIIIYTQLb3eAh49ejRbt24lLy8Pb29v3nzzTaqrqwF4\n9NFHGTBgAGvXriUgIAArKyvmzZunz3C1akNaLk+uOEK3Fk683S8YZ2szrbTzSCdf3t5wgve3nCQu\nyFUrbQghhBDCsOk1AVy8ePFNf69Sqfjiiy90FI3+nMorY8SiJFo4WfL+oFBaOFtrrS17S1Me6ezL\n7D9Pk5pTQpi7rdbaEkIIIYRhMuhbwE1BeVUNwxYkoVbDvwaH08nvxtviaMqTXVqgKDB72ymttyWE\nEEIIwyMJoB4pisLkZYc4dOEyM/sHMzBMNytzfZ2s6BPsysojF6mortVJm0IIIYQwHJIA6tGcHZn8\nsD+LRzr5MrF985ue7atpU7r4kVdWxXeJ5+ovLIQQQohGRRJAPdlxOp9nfz1KN38nXo0PxFrDK37r\nMyDUDXdbc5YeyNJpu0IIIYTQP0kA9eBCcQXDFybjaWfBrIGheNlb6jwGYyMVD0R5sTOzkMyCcp23\nL4QQQgj9kQRQx6pq1AxfmETRlWo+GBRKZx0s+riRB6N9qFUrzN19Rm8xCCGEEEL3JAHUsRdWp7Ir\ns5DX44MY2lq/m1q39rQjtJkNq1Mv6jUOIYQQQuiWJIA6tPxQNp9tz2BUpCePdvbF1Fj/3T822pvD\nOSUczCrWdyhCCCGE0BH9ZyBNREZ+OROXHiDMzYZX4wNxtNLOSR+3a3ibvw6lXph0Xs+RCCGEEEJX\nJAHUgaoaNSMXJVOrVnh3QAjh7nb6DqlOgIs14W62bDqZp+9QhBBCCKEjkgDqwLQ1x9h3rojX+wQx\nKMxd3+FcY2RbTw5euExqzmV9hyKEEEIIHZAEUMt+PZLD7G2nGdHGg8kdfXW62fOtGhbx12KURXIb\nWAghhGgSJAHUojMF5YxfcoCQZja83icYe0tTfYd0XaFuNvg6WrIjs1DfoQghhBBCByQB1JLqWjWj\nvt9PVa2a9waEEO5uq++QbkilUjE43I1954rIK63UdzhCCCGE0DJJALXkjd/T2HOmkFd7BzIozE3f\n4dRrYKgblTVqlh/O1ncoQgghhNAySQC1YNupfGZtPsk9rdx5uKMvJgaw3199erR0xsLEiE3pshpY\nCCGEaOwMPzNpYIquVDPmx/1421swPTYAZ2vD2O+vPpamxsQGurAzs5Dqmlp9hyOEEEIILZIEUIMU\nReHRnw9x4XIlM/uF0N7XUd8h3ZZBYW5kFVewPaNA36EIIYQQQotM9B1AY/J98nmWHrjA4519GR7p\nqe9wblv/kGYA/JZ6kdhAVz1HI4QQ2ncqr4x1xy9xtvAKKhW08bSjT5ArLjbm+g5NCK2SBFBDMvLL\nmbL8CG297HihZwCWpsb6Dum2+TlZEexqza4M2Q5GCNG4ncor46U1x/jl0F8L38yNjahVFGrUCuYm\nRjwQ5cWsgaG4SiIoGilJADWgplbNmB/3o1YU3uobjJ+zlb5DumMJ4e7M3naarOIreNlb6jscIYTQ\nuN+O5vDADynUqNU83KE5A0ObEd3cASMg8VwxC5POsTDpPL8cymb+qEju+f/N8oVoTGQOoAa8u+kk\nuzILmR4bQP9Qw9/y5WYGhDajRq2w4lCOvkMRQgiN+z75PEPm7cPL3oJlY9sxZ2gEQyI88LK3xMPe\nkiGt3PllfAy7n+qCp50F985P4rV1x1EURd+hC6FRkgDepT1nCnlrwwn6h7jyaGc/gzzq7XZ08nPE\nwsSIHZmyEEQI0bj8djSH8UsO0M7LnoWjIxkY7o6ZyfU/BqN9HNn/bHcGh7kxc2M6j/58SJJA0ahI\nAngXSqtqeeCH/TSzNuOV3kENZsuXmzE3MaZLCyf2nSuSi50QotFIzy1lzI8pBLlY8+m94cQ0r3+X\nBgtTY1ZOiGFCjA9z95zlyeVHdBCpELohCeBdeG3zOTILynm7XzCd/RrWli83Ex/kyun8co7mlOg7\nFCGEuGuVNbXctyAZFfDhoFA6+znf8nONjFR8O7INY9t58cWuTN7bmK69QIXQIUkA79Cygxf46Wg+\nE2J8GNnWC5WqYd/6/afYABcAfjt6Uc+RCCHE3Xt7QzqHsi/zZt9g+t3BPG2VSsV3IyOJD3LhlXXH\nWZR0TgtRCqFbkgDegaziKzyy7BAhzhY837MlNuaNazF1lLc9duYmJJ4r0ncoQghxVw5kFTNr80kG\nh7kxNtr7judpmxgbsXJCDK097Zj000G2npRjM0XDJgngHXC1NmdSh+ZM7+pOiJutvsPROGMjFT0C\nnNl3roiaWrW+wxFCiDuiKApTlh/G3sKEqd1b4GR1d/O0rcxM2PhIR5rZmHPfgiTOFJRrKFIhdE8S\nwDtgZmLEB4PD6B1w6/NIGpr4QFeyiitIOi+jgEKIhmlJygV2ZRYypYsf3Vu6aKROFxtz1j/cgYoa\nNf2+3kt5VY1G6hX1u1JdS3puKafyyiipaFj9/uXOTA5kFes7jKvoNQFcv349wcHBBAQEMGvWrGt+\nP3/+fFxdXYmMjCQyMpJvvvlGD1E2TbGBf10s1x67pOdIhBDi9lVU1/LSmlRCm9kwIcZHo1t0hXvY\n8cMDbUm7VMrQ+UmyY4IW5ZZWMnPDCaI+/hOraWsJmrWFgPc2Y/fKOoLe28z0Ncc4mVem7zBv6s9T\neTyx4jBvbTih71CuorfJa7W1tUyZMoUNGzbg7e1NTEwMCQkJhIWFXVVu5MiRzJkzR09RNl1hbja4\nWpuRJPMAhRAN0Fe7z3CuqIKvhkXQwtla4/UPaeXBjL5BvPH7CV5cncqHg8M13kZTVl5Vw3ubTvLR\n1lNU1Khp42nHwx2a42VvAUBOSSUpWcV8sOUkH2w5ychIL/6VEIaHnYWeI79aQXkVY35Iwcfekhd7\nBgBX9B1SHb0lgImJiQQEBODv7w/AqFGjWLVq1TUJoNAPlUpFXKALG07kUlVTi5lJwzvbWAjRNJVU\n1PDuxnTa+zhwrxaPcXstPohDFy7z0dbTRHra80A7b621dTMlFTWk5ZaSX1aFkUqFj4MFAS7WmBg3\nzFleB7KKGbEwmfS8MvoFuzKpQ3NiA11wvM4czhOXSnh7Qzo/HbzAr0dz+PSeVjzUobkeor6WoiiM\nX3yAnJJK5o1sQwdfB7KzJQEkKysLHx+fusfe3t7s3bv3mnK//PIL27ZtIygoiNmzZ1/1nL/NnTuX\nuXPnApCTk8OFCxe0F/g/5Obm6qQdfWnnasqSA9WsTjpBx+b2Ommzsfepvkn/apf0r/bdSh//e18O\nuWVVvNbVjZqSfC5ocUvTD2I9OJZTxKSlB3BSXaGNu+ZHG68nr7yaZUfzWZNexIHsMv73JrSNmRE9\n/ex4sE0zOvvY3PJWZfp+D686XsAz6zOxNTPiw97eDA52wtYCrhTlceU6N6RsgPd7uTOxlR3PrM9k\n0k8HWX/kHB/E+2J+g1NedOWrfTn8lnqRKdGudGmmIjs7W+/9+08GvX/J4MGDGT16NObm5vznP/9h\n3LhxbN68+ZpykydPZvLkyQBER0fj6empsxh12Zau3WNmzwsbzpBcAEM7Sp82FtK/2iX9q3036+Oa\nWjULDh2lnbc993cJ08kJTRsfdyHyX38yYdVp9j7dDV8nK621lVV8hXc3nuSbvWepqlUT5mbDQx18\nCHa1wdHKFIDzRRUcuHCZLSfzWH2iiGhve74c1pqY5g631Ia+3sOz/zzFs2syaOtlxwcDQ4kNdMXo\nFuduenpCcit/nlp5hH/vOsPxgmrWTuqAj6OllqO+vl0ZBby74wKxAc5M698ab4f/vicM5RqhtwTQ\ny8uLc+f+u5nm+fPn8fLyuqqMs/N/V9lOmjSJF198UWfxCWjpbEUzGzNSDGzlkhBC3Mgvh7I5V1TB\n0938dXY8p4edBesmdaDHl7vo9sVO9j7dTeNz0apr1Xy2PYMZv6dRUaNmcJgbo9t60ivABRcb8+s+\np6Simo//PM3nOzLo+Nl2nunmz3sDQ294/rE+fbPnDM/+mkpsgDOzE8Jp7XX7d51MjI34clhrurVw\n5uFlB4n5ZBubHu1EuIedFiK+sdzSSkYuSsbD1pzX44OuSv4Mid7eBTExMaSnp5ORkUFVVRVLliwh\nISHhqjLZ2dl1//71118JDQ3VdZhNmkqlooe/M/vPF1NdU6vvcIQQol6fbDuNt70F97f1qr+wBkX5\nOLD24Q7klVXRdc5O8korNVb39tP5RH28jed/SyXSy56fx7Xj+wfaMjzS64bJH4CthSlv9A0mfXos\nCeHufLztNN3m7CS/rEpjsWnC8kPZPPLzITr7OvLv+1rfUfL3T6OjvNj6eGdq1Apd5uxkZ0a+hiKt\nX2VNLUPnJ5FbWsWsgaF0b2m428XpLQE0MTFhzpw59O3bl9DQUEaMGEF4eDivv/46v/76KwCfffYZ\n4eHhtGnThs8++4z58+frK9wmq0dLZy6WVpEso4BCCAO350whe84WMaqtJx72ul8N2s3fmRXjY8gq\nqqDL5zvJvlxxV/VdKqlk/OIUun+xi7yyKj4aHMbKCdEMaeWBldmt38BztDJjxYQY/j0sgpQLxUR9\nvI20S4Zx1vuWk3mM/j6ZVu62fD2iDUGuNhqpN9rHgT1PdcXW3ITeX+1h9dEcjdR7M4qi8NjPh9mR\nUcDrfQIZ1trDoI+JVSmNbAOj6OhokpKSdNLWhQsXDOZevrYczr5M64/+ZEafIN7oG6z19ppCn+qT\n9K92Sf9q3836eOTCZNYeu8i+Z7rp9ZSm1UdzGLEoGXsLU1Y/1J52Prc29+5vVTVqvtyVyZt/pFFa\nWcvYdt482bUFbb3vfjHe1pN53Dt/H2o1rJnUnq7+V49Q6fI9vP98ET2/3IWrjTlLx7Yj+jb76Vbk\nXK6gx5e7OJVfzjfDWzO+vfZWCP9r6yme/y2VSR18mDXw+vNPddG/t5oHGd5EAGFQwt1ssbcw4cCF\ny/oORQghbuhsYTm/HMrm3gj9H9E5KNydLY91Rq0odPxsBzM3nKCqpv5jNRVFYcXhbMI/3MrUVUcJ\ndrVh8ZgovhgWoZHkD6BngAv7nu6GnYUJ/b7eq7czjdNzS+k3dy82ZibMva+1VpI/AHc7CxKf7kak\npx0Tlh5k1qZ0rbTzQ/J5Xlj91xzGl+MCdTb/9G5IAihuyshIRTd/Z/ZnFVOrblSDxUKIRuTzHZko\nKIyPMYw94Dr4OnLk+Z50a+HEa+vTCJ61mS93ZlBYfu38u+zLFczZkUHER38ydH4StWo1nw4JZ/n4\naO5r44mlqWb3YQ1wtWH3U11wtjJjwDd72XRCt1uTXCiuoM9/9lCjVpgztBVxQa5abc/e0pQdT3Qh\nPsiF6WuP89SKwxo9vWVJShYPLk6hnZc97w8K08rG49pg0NvACMPQw9+Z1akXOZpzmdaeutkPUAgh\nblVpZQ1z95whNsCFHgY06d7V1pzNj3dm8f7zvLUhnSnLj/DE8iMEN7PB296CGrVCZkE5mYV/bQ4c\n5GrNjD5BjGzrSbDrre/ddye8HazY83RXOn+2g0HfJrL6ofZaT8QACsur6Dt3D7llVXw1LEKrG3X/\nk4WpMese7si4xSl8viOTs0VX+OH+KKzN7y4NWnbwAmN+TCHS045P7gnX2kimNkgCKOrVvaUTAOuP\n50oCKIQwOPP3neNyRQ33t/XS6Jm/mjI6yptRbb34/fglVh7JIfVSKTkllZgYqQh0sSYh3J0uLRzp\n7u+Muw6PMvOws2D3U13p/PkOBn+XyJpJHQjW4o4l5VU1DPo2kbTcUj6/pxWjo7x1ukjC2EjFovvb\n0tzBklmbT9L2422sntT+jheezNmRwdMrj9Daw45PhrSiSwvD+fJxKyQBFPVq62WPlakxyeflXGAh\nhGFRqxU+2XaaVu62jIrS7dYvt0OlUtEv1I1+oW7AX/P9atWK3o9rc7ezYNeTXen02Q4GfrOXRfcG\nMEwLaxSqa9XctyCZPWcKmTUwlAntm+slWVepVLw7MJT2vg6MX3yAqI+38eXQCMZG33oyWlJRw5Mr\nDrMg6Tzd/Z34YFAYHXwdtRy55skcQFEvU2MjOvk5kpJ1GbXMAxRCGJDVqRc5lV/O/W29ND5XTptU\nKpXek7+/udtZsPPJLjSzMWfs8nT+PKXZhSHVtWru/34/645fYnpsAI939tP7ZtT3tPJg/7Pdaels\nxbglB+jx5S72nb35IIdarbA0JYtWH25lUfJ5JnXwYd7IyAaZ/IEkgOIW9WzpzMm8Mk7ll+k7FCGE\nqDN722ncbM0ZH+Ot71AaNE97S3Y92QVnSxMGfJ3IFg2tDq6pVTPmhxR+PpTN1O7+PNez5V3Pu9MU\nf2dr9j/bgxl9gjh04TLtP91Oh0+38/n2DJLOFXGhuILzRVfYcTqftzecIPj9zYz6fj8WJkbMHd6a\n2UNa4e/SMBZ8XI9h/BWEwevm74QC/J6WS6CGNuoUQoi7cSCrmK2n8nmyqx8e9vo587Ux8bS3ZOXo\nYIYtO0W/uXv4bmQkD7S788S6plbN2B9T+OngBZ7p3oKX4wJwtDKs7VGMjVS80TeYJ7v6MXPjSVYe\nyeaplUeuW7aNpx0z+wUzqq0XLRtw4vc3SQDFLWnf3BFTYxWJ9QyRCyGErnyy7TQWJkaMi/bRdyiN\nhoetOUnPdCP+P3sY82MKpwvKebV34G0v1rhcUc2Ihcn8npbLU11b8HJc4E2PrdM3J2tzPh4SzkeD\nQ0k+X8yfp/LJL69GBTSzMSPK24FWHrY4GVgCezckARS3xNLUmGhvB1LkSDghhAHIuVzB4pQshrRy\np+1dnh0rruZiY87up7pyz7x9vL4+jeRzRcwf3RYHS9Nbev7BC8WMWrSf9NxSXu0dyNQe/g0mcTIy\nMiKmuSMxzRvmvL7bIXMAxS3rFeDMsUulnC+6ou9QhBBN3Je7MqmuVRgd6YWRAW790tBZmBqzdlIH\nXuzVktXHLhH43mbmJZ696YEApZU1vLruOO0/2UFeWRVfDI1gWmxAg0n+mhoZARS3rLu/M+9uOsnv\naZd4qIOvvsMRQjRRFdW1/HvXGbr6O9E3RPubFzdVRkYq3h8URkK4G48sO8zEpQd5bX0a46N9iA10\nobmjJdW1ak7mlfF7Wi7fJ5+nuKKG/iGuPNvdn9hAV0nODZgkgOKWdfZzwkgFe84USgIohNCbH/Zn\nkVdWxQNtvbAyk48xbevSwplDz/fg271nmbvnDO9tTued/zlT18xYRa8AF0a39WJIK/dbvl0s9Kfe\n/znPPfccEydOJDw8XBfxCANma2FCaw87UrIu6zsUIUQTpSgKs/88TaCLNUNaues7nCbDyEjFw518\nebiTL5kF5Ww4kcuF4gpMjFS42ZrT0dcBf2drScgbkHr/UqGhoUyePJmamhomTJjA6NGjsbeXCbdN\nVa8AF77cmUl+WSXO1oa7oksI0ThtP1PC0YslvBEfpNNj08R/+TlZ8XBHuQvU0NW7CGTSpEns3LmT\nhQsXkpmZSevWrbn//vvZsmWLLuITBqa7vxOVtWo2nMjVdyhCiCbo6/0XcbYyZXgbD32HIkSDdkur\ngGtrazl+/DjHjx/HxcWFNm3a8PHHHzNq1ChtxycMTNcWTgDsOF2o50iEEE3N8YslbM64zH2tPQhx\ns9V3OEI0aPXeAp46dSq//fYbcXFxvPzyy7Rv3x6Al156ieDgYK0HKAyLi405Ic1sZD9AIYTOzd52\nGlMjFcNae2Asq0uFuCv1JoCtW7dm5syZWFtfe+xJYmKiVoIShq1nS2cWJZ+npKIaWwtZ6SWE0L6c\nyxUsSDpP35Z2dPV31nc4QjR4N0wA9+/fD0CbNm1IS0u75vdRUVGyGKSJ6tHSma92n2FTej73RMgq\nPCGE9n22I4OqGjX3hTpiaWqs73CEaPBumAA+99xzN3ySSqVi8+bNWglIGL4eLf/69r31VJ4kgEII\nrSupqOHLnZnEBrrQsbkMPAihCTdMALds2YJarWb37t106dJFlzEJA+dhZ0FLZyv2n5d5gEII7ft6\n7xmKK2p4sJ03tuYy+ieEJtx0FbCRkRFPPPGErmIRDUivABdSsoopr6rRdyhCiEasqkbNx3+epp23\nPX1Dmuk7HCEajXq3gYmLi+OXX35BUW58ALRoenq2dKa0qpYtJ/P0HYoQohFblHyerOIKxrbzxs1W\nNp8XQlPqTQD/85//MHz4cMzNzbGzs8PW1hY7OztdxCYM2N/zADel5+s5EiFEY1VZU8ubf6QR5mbD\nUJlvLIRG1bsNTElJiS7iEA2Mt4Mlfo6WMg9QCKE1/9l9hnNFFXwxtBU+jlb6DkeIRuWWTm0uLCwk\nPT2dioqKup91795da0GJhqFXgAu/HMqmoqoWCzOZmC2E0JzSyhpmbkgnxseeIa1k9E8ITav3FvA3\n33xD9+7d6du3L2+88QZ9+/ZlxowZOghNGLpeAc5crqxh62mZByiE0KxPt58mt6yKxzv74WVvqe9w\nhGh06k0AP/30U/bt24evry9btmwhJSUFBwcHXcQmDFzdPMATkgAKITSnoLyKD7ecooe/MwPD3PQd\njhCNUr0JoIWFBRYWFgBUVlYSEhJy3ZNB7sT69esJDg4mICCAWbNmXfP7yspKRo4cSUBAAB06dCAz\nM1Mj7QrNaO5ohY+DBckyD1AIoUGvrD1OaWUNj3fxxdVGVv4KoQ31JoDe3t4UFRVxzz33EB8fz5Ah\nQ/D19b3rhmtra5kyZQrr1q0jNTWVxYsXk5qaelWZb7/9FkdHR06ePMnUqVN56aWX7rpdoVlxga4k\nny/mSlWtvkMRQjQCSeeK+M+eM4yI9GRAqIz+CaEt9SaAK1aswMHBgRkzZvD222/z0EMPsXLlyrtu\nODExkYCAAPz9/TEzM2PUqFGsWrXqqjKrVq1i3LhxANx3331s2rRJ9iM0MPFBLlyurGHDiVx9hyKE\naOCqa9VMXnYQJ0tTHuvsh435La1TFELcgXoTQIAdO3Ywb948evToQadOncjKyrrrhrOysvDx8al7\n7O3tfU29/yxjYmKCvb09+fmy75wh6R3oCsDvaZf0HIkQoqF7Z2M6KVmXmRYbQBc/J32HI0SjVu/X\nqzfffJOkpCTS0tKYMGEC1dXVjBkzhp07d+oivlsyd+5c5s6dC0BOTg4XLlzQSbu5uTLqBRDsbMHO\nU5c00u/Sp9ol/atd0r93bl9WKTM3nKB3C1sGNDclJyf7uuWkj7VL+le7DKl/600AV6xYQUpKClFR\nUQB4enpqZHNoLy8vzp07V/f4/PnzeHl5XbeMt7c3NTU1FBcX4+zsfE1dkydPZvLkyQBER0fj6el5\n1/HdKl22ZagGtSrk0+0ZmNo54Wpjcdf1SZ9ql/Svdkn/3r6LJZU8vvYIHnYWvNYvgrCW117n/0n6\nWLukf7XLUPq33lvAZmZmqFQqVCoVAGVlZRppOCYmhvT0dDIyMqiqqmLJkiUkJCRcVSYhIYEFCxYA\n8PPPPxMbG1sXhzAcfYJdqVEr/HZUbgMLIW5PWWUN98zbR355NR8MCqVbS7n1K4Qu1JsAjhgxgkce\neYSioiK+/vprevfuzcMPP3zXDZuYmDBnzhz69u1LaGgoI0aMIDw8nNdff51ff/0VgIceeoj8/HwC\nAgL4+OOPr7tVjNC/bv7OmBmr2HxS9gMUQty6iupaRixKJvFsITP7BTO0tYd8yRdCR+q9BWxmZkbv\n3r2xs7MjLS2Nt956i/j4eI00PmDAAAYMGHDVz9566626f1tYWLBs2TKNtCW0x9LUmE5+Tuw9W6jv\nUIQQDUTxlWqGzNvHn6fyebV3II929sPcRI6UFEJX6h0BvHTpEtOnT+fMmTP07t2b3r176yIu0cD0\nD2nGybxyjl28+/mhQojGLfFsIVGzt7Ejo4CZ/YJ5oVdL2fJFCB2rNwGcOXMm6enpPPTQQ8yfP5/A\nwEBefvllTp06pYv4RAMRH+QCwIrDOXqORAhhqDLyy5m87CAdP9tBeVUtc+9rzdQe/thZmOo7NCGa\nnFv6yqVSqXB3d8fd3R0TExMKCwu57777iI+P54MPPtB2jKIBiPS0x8nKlJ2ZBfoORQihZ2q1Qo1a\nIbesklN55ew7V8S645fYfDIPI5WK0ZFePNrJl67+TjLnTwg9qTcB/PTTT1m4cCEuLi5MmjSJDz/8\nEFNTU9RqNYGBgZIACgCMjFT0CXLl97RcKqprsTCVuTxCNCaKopB6sZQ/0i6RfL6YzIJyLpVWcam0\nkooaNWq1Qq2ioL7BYU3+TlY81N6He1t50DPAGSszueUrhD7V+z+woKCA5cuXX3P+r5GREatXr9Za\nYKLhSQh3Z8mBC6w7fol7Izz0HQ67MgpYd/wSabml2Jmb0r65AyMiPXGwlNtNQtyq8qoavtl7lq92\nneHYpVIAmtmYCBVk4QAAIABJREFU4eNgiZ+jJZFedliaGGOk+uuLoLFKhUoFRioVDpameNqZE+Zu\nS4S7Ha42ZjLiJ4SBuKWTQG4kNDRUo8GIhq1fiCvGKlidelGvCWDapVImLzvIttMFGKnA086Csqpa\nvk08yzOrjvBO/xCe7uaPkZF8EAlxI4qiMH/fOV5Zd5zsy5W0crdlWmwA3fydiPKyx9naDFPjWzpN\nVAhhgGQMXmiMo5UZnfwc2X66AEVR9PJNf2lKFhOXHsTUWMXzPfwZ3saTQFdrTI1UbM8oYObGdJ79\nNZW1xy7x60PtsZRb1UJcI+dyBWN/TGFjeh6tPWx5q28wg8PdcbM113doQggNkQRQaNQ9rTx4/rdU\nUrKKifJ20Gnb3+w5w+SfD9HGw473BoQQH9wM43+M8vUPdaNfSDNmbkznjfVp9PhiF9umdJb5ikL8\nw66MAoYtSKLwSjXTYgN4tJMvvk5W+g5LCKFhMn4vNGpIK3cAvk/O0mm7yw5e4OFlh+jU3JFvR7Sh\nX6jbVcnf31QqFa/FB/Gf4a3Zd66I+xYkoSg3mLUuRBOz/FA2sV/txszYiAWjIpnRN0iSPyEaKUkA\nhUYFuFjTyt2WTem6OxZud2YBY39MoY2nHXOGtiLKp/6Rx4c7+vJ6fCBrjl3itfXHdRClEIZtSUoW\nwxcmEeRizXcj2zAi0lNO5hCiEZMEUGjcyEhPDmVf5mjOZa23lVtayfCFybhYmfGvwWG0vY3bzjP6\nBjMgtBnvbz7Fzox8LUYphGFbeTibB37YT6SnHXOHtyEuyFVW6wrRyEkCKDTuvtZ/rQCev++cVttR\nqxXG/phCbmkl7w8KJTbQ5baer1KpWHR/W5ysTBn7YwoV1TVailQIw7X3TCGjv99PmJstXwxrTUc/\nR32HJITQAUkAhcaFuNkS0syGP9JytdrOV7vP8HtaLs9292dYa487GrFwsjLju5GRZBRc4aXVcitY\nNC2n8soY/G0iztZmfJwQRkdfSf6EaCpkFbDQivEx3kxbc5x9ZwuJaa75D5XT+WW88FsqHZs78ETX\nFne1kndgmBv3tHLnq92ZTO7YnHAPO80FqgM1tWo2n8xjV2YhOSWVuFqb0c7bnv6hzWQOl7ihoivV\nDPhmL1W1ar66L4L44Gb6DkkIoUOSAAqtGNPOm+lrjvP1nrMaTwDVaoUJSw6gUsGr8UF4OVjedZ1f\nDosg4N1cnlp5hE2PddZAlNqnViv8sP8809ceJ6u4AhVgZ2FCSWUNagXsLUx4OS6QZ7r7Y2Yig/3i\nvxRFYfKyg5zKL+erYREMaaX/k3uEELolCaDQCi97S3q2dGbtsUvU1Kgx0WAC8tmODLadLuCN+CD6\nhWhm1MLDzoIXerbkzQ0nWJt6kQFhbhqpV1uKr1Qz5scUVqdeJNzNlqe7taBPkCue9hbU1CqsT7vE\nN3vO8tKaYyxIOsfqhzrQwlm28xB/+XbvWZYdzObJrn480M77ulsmCSEaNxkWEFozqWNzsi5XsPiA\n5vYEPJFbyvQ1x+jWwonHOvtq9IPrhV4tcbU2Y/raYwa9N2DO5Qo6f76D9ccv8XwPf1ZPiuGFXgG0\n8bLH1cYcD3sLJrRvzs6nujJvZBvOFl6h7cd/sudMob5DFwYgNaeEp1YeoX1zB6bHBsppOEI0UZIA\nCq0Z1toDZytTvt57ViP11aoVxi8+gJmxES/HBeBmZ6GRev9mbW7COwNCOJRdwtw9ZzRat6ZcKqmk\n1793k1FQzpx7W/Fmv2D8nKxvWH58++YkPt0NGzMTen+1m8SsUh1GKwxNRXUtoxYlY2FizHsDQvCw\n1+z/ISFEwyEJoNAacxNjJnfyZcfpAg5nF991fR9uOcnuM4W80Kul1iasT4jxIcjVmnc3nqSqplYr\nbdypiupahszbR0ZBOZ8OacWE9s2xMqt/Fkeouy27nuqCo6UpDy5P52i29vdnFIbphd9SOZxTwow+\nQcQGuuo7HCGEHkkCKLTqsU5+GKngvY0n76qeA1nFvP57GnGBLkzq0Fxrc5ZMjI34OCGcs0VXeH/z\n3cWsSYqi8PCyg+w5U8hbfYN5MMb7thZ2NHe0YuvjnTA2UtF37l7yyyq1GK0wRKuO5DBnZyYPRHkx\nuZOvvsMRQuiZJIBCq3wcLRnV1ovlh3PIyC+7ozoqqmsZ82MK9hamTI8NwF3Dt37/14DQZkT72DNn\nZybllYaxOfQ3e8/yfXIWj3RsziOdfO9oe5eWLjYsvDeAi6WV3DtfzkBuSs4XXWHi0gOENrNhZv+Q\nu9o2SQjROEgCKLRuRt9gatRqXll3Zxstv7ruOEdzSnitdyA9A27vtI87oVKp+HBQGJdKq3hrwwmt\nt1efYxdLeGrFETo0d+DFXgHYW5recV3tPG14f2Ao208X3PHfQzQstWqFMT+mcKW6lnf6h+DnJKvB\nhRCSAAodCHCxZlRbL345lM3h25x/tv74JT7edpphEe6MidbddhU9A1zo7u/E3D1nuXylWidtXo9a\nrTDpp4OYmxjxVt9g/F1uvODjVk3t4c/gMDc+2HySDVo+rUXo37ub0vnzVD4v9QpgSCt3fYcjhDAQ\nkgAKnfhwcBimxkZM+ungLd96PJ1fxujvkwlwtmZaXCBOVmZajvJqHwwKo/BKNa//nqbTdv/p37sy\n2ZVZyNTu/sQFaWbS/t9nIHvZWzL2x/0UlFVppF5heHaczmfG72n0D2nG0939MZL9/oQQ/08SQKET\nHnYWvDsghMSzRXyw5VS95XNLK+n/9V7UavhwcCjRPg46iPJqHXwd6RPkyneJ5/SSJJ0rvMK0Ncfo\n2NyBxzW856G9pSk/j2tHXlkV45cc0Fi9wnAUlldx/w/78bSzYEafIBzuYuqAEKLxkQRQ6MyULi3o\n4e/Eq+uO80fapRuWu1hSSd+5ezhTeIWPE8IYGKq/Uzk+GBxKSWUN09ce02m7iqLw+PLD1KgVpscF\n4mqr+YUvMc0dea5nS35LvcgPyec1Xr/Qn79WjR/iwuVK3ukfQntfzZ/HLYRo2CQBFDpjbKRi5cT2\neNlbcO+8JFYezr6mTEp2GR0/3U7qxVI+GBjKmGhvTIz19zZt42nPkHB3FiWfJ/tyhc7aXXrgAqtT\nL/JYZz8GavFYurf7hRDSzIanVx4ht1S2hmks5u45wy+Hsnmiix/DIz31HY4QwgBJAih0ysHSlB1P\ndMbX0ZJ75yfRf+4evtlzhm/2nGH4giQG/Xicsqpavh7emkc639l2J5r2/qBQKmvUTF+jm1HA/LIq\nnlpxhDA3G57t4a/VhS9mJkYsHhNFUUUN4xanaK0doTtHsi/zzMqjdPJ15Nke/nLUmxDiuiQBFDrn\n7WBF0tRuPN7Zlz1nC3l42SEeXnaIzSfzGBXuyMoJMTwQ5W0QyR9AcDMbRrTxZHFKFmcKyrXe3nO/\nHqXgSjWv9Q7C28FS6+1FetkzPTaAdcdzmZ+omWP7hH6UVtZw34IkrM2MmdEniOaOsuWLEOL66j9H\nSggtsDIz4YthrflocBj7sy5zuaKacDdbKC+kubeTvsO7xnsDQ/n5UDYvrE7lpwejtdbOhrRcFiSd\nZ2J7H+5trbstO17vE8Tyw9k8+2sq/UKaaX2zbaF5iqLwyLJDpOeV8eXQCHpraNW4EKJx0ssIYEFB\nAfHx8QQGBhIfH09hYeF1yxkbGxMZGUlkZCQJCQk6jlLogqWZCV1aONE/1I3mTlaYGOg2FX5OVoyL\n9mb54RyOXyzVShtllTVMXnYQX0dLpnZvodMRUFNjI5aMbUdJZQ1jfkyRU0IaoLl7zvBjShaTO/oy\nOspLtnwRQtyUXhLAWbNmERcXR3p6OnFxccyaNeu65SwtLTlw4AAHDhzg119/1XGUQlztrX4hmKhU\nPP/bUa3U//rvaWQWXuHV3oG08rDXShs3E+Fhx+t9gtiUnsfc3Wd03r64c4lnC3n6/+f9vdCrJXYW\nsuWLEOLm9JIArlq1inHjxgEwbtw4Vq5cqY8whLgtnvYWPNrZl3XHL5F0rkijde87W8Qn/3/iyQg9\nrtqcHhtAG087XlpzjKyiK3qLQ9y6c4VXGPLdPpytTHmrbxD+znd/WowQovHTyxzAixcv4uHhAYC7\nuzsXL168brmKigqio6MxMTFh2rRp3HPPPdctN3fuXObOnQtATk4OFy5c0E7g/yM3V47R0jRD79NJ\nrez4eo8Rjy5NZtXoEFSqu7/NdqVazf3fH8PZ0oTx4TaUFuSinZvMt9a/n/X1IX5hKsO/282ykcEa\neY1Nha7fv+XVtdy7JI3LFdV81teHUJtqnV3/9MXQrxENnfSvdhlS/2otAezduzc5OTnX/Pydd965\n6rFKpbrhB8yZM2fw8vLi9OnTxMbGEhERQcuWLa8pN3nyZCZPngxAdHQ0np66G0HRZVtNhSH3qScw\ns381z/6ayvrzNTzUwfeu63xqxRFOFlTw5dBWDGjnp/W5W/X1r6cnzOyv5sXVx1h4vJzpcYFajaex\n0dX7t1atMGJhEqm5V5idEM7Yzn6YmTSNjR0M+RrRGEj/apeh9K/WEsCNGzfe8Hdubm5kZ2fj4eFB\ndnY2zZo1u245Ly8vAPz9/enZsycpKSnXTQCF0KUnu7Zg7p6zvLz2OPe28sDJ+s7PKN6QlsvnOzIY\nFenJyLaGM3H/uR4tWXfsEjN+TyMu0IX2zeUkCUOiVv+14nf54Rye6+HPhPbNm0zyJ4TQDL1cMRIS\nEliwYAEACxYsYMiQIdeUKSwspLLyr5MJ8vLy2LlzJ2FhYTqNU4jrMTE2YuHotuSXVTFh6Z2fo1tY\n/tfz/RwteaZ7C5ys7jyR1DQjIxVLH2yHvYUpwxcmU1pZo++QxP9TFIVnVh3l28SzTOrgw0uxAdha\nyI5eQojbo5cEcNq0aWzYsIHAwEA2btzItGnTAEhKSmLSpEkAHDt2jOjoaNq0aUOvXr2YNm2aJIDC\nYMQ0d2Bqj5b8evQi8/fd/ubJtWqF+3/Yz8WSSt7qF2yQI2yuNuYsGduO80VXGP19smwNYwAUReGl\n1cf4fEcGY6K8eKNPEK425voOSwjRAOnla6OzszObNm265ufR0dF88803AHTu3JnDhw/rOjQhbtnM\n/sH8kXaJKb8coZ23AxEedrf83JdWp7L+eC7TYwMY1trDYBdaxAa6MD02gHc2neTVdcd5Z0CovkNq\nsqpr1Tyy7BDz9p1jeGsP3ukfgreDnPQhhLgzMmlEiDtkbmLMmkkdMDcxov/XezlfdGvHxL23KZ1/\n/Xma4a09mNrDHyszw75991a/EIaEu/HuppNyVJyelFbWkPBdIvP2nePhDs35eEgYzZ0k+RNC3DlJ\nAIW4C94Olqye1J7C8mq6zdlFRv6Nk0C1WmHa6mO8vPY4/UNcmTUwtEHcvvt7PmA7b3sm/3yITemG\ns41BU5B2qZQun+9kQ1our/YO5J0BMvInhLh7kgAKcZc6+zmxZlJ78sqqiPzXnyzYd5Za9dXz5Y5d\nLCH+P3t4f8tJhkW48+k9rfB3aTgb9pqbGPPHIx3xtLPgnu/2seN0vr5DahIWJp2j3extnCksZ/aQ\ncF6KDWgQXxqEEIbPsO89CdFA9AxwIWlqN+6dl8T4JQd5ff0J4oJcsDI15uCFy+zMLMDGzIRX4gJ4\nsmsL3Ows9B3ybXOyMmPblM50nbOTvnP3smxcOwaEuuk7rEbpUkklz6w6yuKULKK87Hi7Xwh9gl0x\nMZbv7EIIzZAEUAgNCW5my5EXevLV7kx+2J/FisPZKAq42ZozuUNzhrX2oFeAS4P+EG/uaMXuJ7vS\n89+7SPg2kXcHhPJCr5YGu4iloVGrFb5LPMuLq49RUlnDIx2bM7WHP8HNbPUdmhCikZEEUAgNMjJS\n8XiXFjzepQWVNbVcrqjBzNgIOwuTRpMkeTlYsn9qDxK+S+SlNcf4Pe0S342MxFcWJdyVTSdymbb2\nGEnnionysmN6XCADQpsZ/CIhIUTDJFcWIbTE3MQYVxtjfYehFbYWJmx+rBPvbExn5sZ0gmdt4clu\nfjzXoyXuDfD2tj4lnyti+tpjbDiRh5utOTP6BDEhxkdW+QohtEoSQCHEHVGpVLwaH8TISE+eWnGE\nf209zSfbMugT5MrgcDc6+TnSyt0OYwM53s7QnMgt5bV1afx08AL2FiZM7e7PA1FetPWyN5gjAYUQ\njZckgEKIuxLoasO6yR1JySri462n+eNELmuPXwLA2swYX0dLPO0s8LCzwMnKFHsLU+wtTbC3MMXB\n0gRnKzOCXG3wsDNvNLfJbyb7cgVv/nGCb/aexcxYxaQOPoyJ8qZzCydMG/D8UCFEwyIJoBBCI9p6\nObDogShqatXszizkz9P5HM0pIaekkpySSo7mlFBSWUNZVS3XO1TOxsyYcHdb+oU0o19IM2J8HBrV\n6GHxlWo+2HKST7ZlUFmrZmiEO5PaN6d7S2csTBvnVAEhhOGSBFAIoVEmxkZ0a+lMt5bOdT9TqxUq\na9VU1qiprK6l8Eo1+eVV5JdXk11cwemCcs4UXuFIdglv/XGCN/84gZuNOY929uXRTr4Nel5hTa2a\nL3dl8uYfJygor6ZPkCuPdfalT7CrLPAQQuiNXH2EEFpnZKTC0sgYS1NjsDS96T6ImQXlLDt4gZWH\nc3jzjxO8szGd+9t68e7AELzsLXUY9d3blVHA48sPc/DCZdr7OPDUPS0YHO6GnYWpvkMTQjRxkgAK\nIQyKn5MVL/QK4IVeAew/X8z7m9NZfCCLnw5e4Nke/rwcF4i1uWFfunJLK5m25hjfJZ7DzcaM9weG\n8mC0d4MeyRRCNC6GfRUVQjRpUd72LH0wmmM5JTy18gjvbjrJgqTzLBodSa9AV32Hd11LU7J4fPlh\niitqeLCdN09286Odt0OTWOAihGg4ZMmZEMLghbrbsuHRTqx+qD1GKoj9ag+TfzpIWWWNvkOrk19W\nxWOrTzPq+/142Frw4wNt+Wp4a6J9HCX5E0IYHBkBFEI0GAPD3DjWsheP/nKIb/ae5Y8Tufw8rh3R\nPo56jWvtsYs8tPQgeWWVPNbZl2d7+BPgYqPXmIQQ4mZkBFAI0aBYm5uw6P4ofn0ohivVtXT6bCfv\nbkxHrb7e5jLaVVJRw8M/HWTgN4nYmBszp19zPk4Il+RPCGHwZARQCNEgDQpz5+gLjoxclMwr646z\n7vglloyN0tlK4S0n85i45ABni64wPtqb53u2xFEplT39hBANgowACiEaLBcbczY+2omPBoeRdK6I\n8A+2suJQtlbbLKus4cnlh4n9927UCnw9vA2fD40g3MNOq+0KIYQmSQIohGjQVCoVz/Vsyd6nu+Jh\nZ8HQBUlMXHKA8irNLxDZcTqfNv/6kzk7Mxkd6clPD7ZjQnsfbAx8WxohhPhfkgAKIRqF1p72HHyu\nBxPb+zBv3zlC3t/CmtQcjdSdc7mCiUsO0O2LXVRUq/nPfRF8MSyCDr6ywlcI0TDJ11YhRKNhZmLE\ntyMjubeVO0+uOMKgb/fRL8SVz++NIMDF+rbrK6mo4ctdmbyzMZ0r1bWMbefN45396OAr+/oJIRo2\nSQCFEI3OoHB34oNcmb72OP/elUnIrM0Mb+PJM939ad+8/uTtbGE5c3ZkMnfPGYoraujawomp3VvQ\nN7iZwZ9CIoQQt0KuZEKIRsnc1JiPh4TzVDc/Xlmbxooj2Sw5cAFfR0sGhbkR4+OAn5MltuYmVFSr\nOV9cwYELxWxOz2Pv2SKMVRAb6MKYKG/6hzbD1cZc3y9JCCE0RhJAIUSj5udkzQ9josgrq+SLHZn8\ncSKXb/ee5YudmdeUNTZSEeJqw2Odfekf3IzuLZ2xtzTVfdBCCKFlkgAKIZoEF2tz3ugbzBt9gymp\nqCbxbBEn88sorazF1EiFm605Ye62NHewlKRPCNHoSQIohGhybC1MiQtyJQ5XfYcihBB6IdvACCGE\nEEI0MZIACiGEEEI0MXpJAJctW0Z4eDhGRkYkJSXdsNz69esJDg4mICCAWbNm6TBCIYQQQojGSy8J\nYKtWrVi+fDndu3e/YZna2lqmTJnCunXrSE1NZfHixaSmpuowSiGEEEKIxkkvi0BCQ0PrLZOYmEhA\nQAD+/v4AjBo1ilWrVhEWFqbt8IQQQgghGjWDXQWclZWFj49P3WNvb2/27t173bJz585l7ty5ABw/\nfpzo6GidxJibm4urq6wi1CTpU+2S/tUu6V/tkz7WLulf7dJF/2ZmZt5SOa0lgL179yYn59qD2N95\n5x2GDBmi0bYmT57M5MmTNVrnrYiOjr7pHEZx+6RPtUv6V7ukf7VP+li7pH+1y5D6V2sJ4MaNG+/q\n+V5eXpw7d67u8fnz5/Hy8rrbsIQQQgghmjyD3QYmJiaG9PR0MjIyqKqqYsmSJSQkJOg7LCGEEEKI\nBk8vCeCKFSvw9vZm9+7dDBw4kL59+wJw4cIFBgwYAICJiQlz5syhb9++hIaGMmLECMLDw/UR7g3p\n47ZzYyd9ql3Sv9ol/at90sfaJf2rXYbUvypFURR9ByGEEEIIIXTHYG8BCyGEEEII7ZAEUAghhBCi\niWkSCaCNjY2+Q7ipiRMn0qxZM1q1aqXvUO6ISqVizJgxdY9rampwdXVl0KBBGqm/Z8+et7Rsvl+/\nfjg4OGisXUOmzT7Pz8+nV69e2NjY8MQTT9x1fQ1ZfdeOW31v/u2VV17Bx8fH4K9J9XnnnXcIDw+n\ndevWREZG3nCP1vps3bqVXbt2aSwuPz8/8vLyNFafvq8pKpWK5557ru7xRx99xIwZM/QSiybfsw3h\nGmPo/0c1kTc0iQRQH2pqam657Pjx41m/fr0Wo9Eua2trjhw5wpUrVwDYsGHDbW/Zczv9dSMvvPAC\nixYtuut6GgJN9PmNWFhY8Pbbb/PRRx9ppD7xX4MHDyYxMVHfYdyV3bt3s3r1avbv38+hQ4fYuHHj\nVZv23w5NJ4B343rXIH1fU8zNzVm+fLlGk1p9+N++lWvM9ek6b2gyCWBpaSlxcXFERUURERHBqlWr\ngL92zA4NDeXhhx8mPDycPn361H2o/vPbfV5eHn5+fnXP6datG1FRUURFRdVdwLZu3Uq3bt1ISEgg\nLCyM119/nU8++aQuhldeeYVPP/30mti6d++Ok5OTNl++1g0YMIA1a9YAsHjxYkaPHl33u8TERDp1\n6kTbtm3p3LkzaWlpAMyfP5+EhARiY2OJi4sD4P333yciIoI2bdowbdq0ujqWLVtG+/btCQoKYvv2\n7deNIS4uDltbW229RINzJ33evXt3Dhw4UFeua9euHDx48Kp6ra2t6dq1KxYWFjp4FYZv69atV40A\nPfHEE8yfP/+qMt999x3PPPNM3eOvv/6aqVOnXlNXx44d8fDw0FqsupCdnY2Liwvm5uYAuLi44Onp\nCUBycjI9evSgXbt29O3bl+zsbOCva+nTTz9NZGQkrVq1IjExkczMTL766itmz55NZGQk27dvJzc3\nl2HDhhETE0NMTAw7d+4EYMaMGYwbN45u3brh6+vL8uXLefHFF4mIiKBfv35UV1fXxffBBx8QERFB\n+/btOXnyJMBN6x07dixdunRh7Nix17xWfV9TTExMmDx5MrNnz77md5mZmcTGxtK6dWvi4uI4e/Ys\nxcXF+Pr6olarASgrK8PHx4fq6mpOnTpFv379aNeuHd26deP48ePAX4nEY489RseOHfH392fr1q1M\nnDiR0NBQxo8ff1WbU6dOJTw8nLi4OHJzcwFuWu+jjz5Khw4dePHFF6+qp6FcYxp93qA0AdbW1kp1\ndbVSXFysKIqi5ObmKi1btlTUarWSkZGhGBsbKykpKYqiKMrw4cOVRYsWKYqiKD169FD27dtX9xxf\nX19FURSlrKxMuXLliqIoinLixAmlXbt2iqIoypYtWxQrKyvl9OnTiqIoSkZGhtK2bVtFURSltrZW\n8ff3V/Ly8q4bY0ZGhhIeHq6FV6991tbWysGDB5Vhw4YpV65cUdq0aaNs2bJFGThwoKIoilJcXKxU\nV1criqIoGzZsUIYOHaooiqLMmzdP8fLyUvLz8xVFUZS1a9cqnTp1UsrKyhRFUep+3qNHD+XZZ59V\nFEVR1qxZo8TFxd0wln+225jdaZ/Pnz9fefrppxVFUZS0tLS69+71zJs3T5kyZYqWX4lhs7a2vuY9\nNWXKFGXevHmKovz3GlFSUqL4+/srVVVViqIoSqdOnZRDhw7dtN6GqqSkRGnTpo0SGBioPPbYY8rW\nrVsVRVGUqqoqpVOnTsqlS5cURVGUJUuWKBMmTFAU5a9+mjRpkqIoivLnn3/WXeveeOMN5cMPP6yr\ne/To0cr27dsVRVGUM2fOKCEhIXXlunTpolRVVSkHDhxQLC0tlbVr1yqKoij33HOPsmLFCkVRFMXX\n11eZOXOmoiiKsmDBgrq/283qjYqKUsrLy2/4evV5TbG2tlaKi4sVX19fpaioSPnwww+VN954Q1EU\nRRk0aJAyf/58RVEU5dtvv1WGDBmiKIqiJCQkKJs3b1YU5a+/wUMPPaQoiqLExsYqJ06cUBRFUfbs\n2aP06tVLURRFGTdunDJy5EhFrVYrK1euVGxtbZVDhw4ptbW1SlRUVN1nI6B8//33iqIoyptvvll3\nbbhZvQMHDlRqampu+PoM+RrTFPIGgz0LWNMUReHll19m27ZtGBkZkZWVxcWLFwFo0aIFkZGRALRr\n167ec/Sqq6t54oknOHDgAMbGxpw4caLud+3bt6dFixbAX/NRnJ2dSUlJ4eLFi7Rt2xZnZ2ftvEA9\na926NZmZmSxevLhuL8e/FRcXM27cONLT01GpVFd9W4+Pj6/7FrNx40YmTJiAlZUVwFXfboYOHQrc\n2t+nqbiTPh8+fDhvv/02H374Id9999013/DFnbGxsSE2NpbVq1cTGhpKdXU1ERER+g5LK2xsbEhO\nTmb79u1s2bKFkSNHMmvWLKKjozly5Ajx8fEA1NbWXjXa+fcIdffu3bl8+TJFRUXX1L1x40ZSU1Pr\nHl++fJkESPdMAAAgAElEQVTS0lIA+vfvj6mpKREREdTW1tKvXz8AIiIirrom/N3O6NGj60Zhb1Zv\nQkIClpaWd90v2mJnZ8eDDz7IZ599dlWcu3fvZvny5QCMHTu2bpRt5MiRLF26lF69erFkyRIef/xx\nSktL2bVrF8OHD697fmVlZd2/Bw8ejEqlIiIiAjc3t7r3bnh4OJmZmURGRmJkZMTIkSMBGDNmDEOH\nDq233uHDh2NsbKyFXtGNxp43NJkE8IcffiA3N5fk5GRMTU3x8/OjoqICoO5WBoCxsXHdUK6JiUnd\nUPrfZQFmz56Nm5sbBw8eRK1WXzWMbW1tfVW7kyZNYv78+eTk5DBx4kStvT5DkJCQwPPPP8/WrVvJ\nz8+v+/lrr71Gr169WLFiBZmZmfTs2bPud//bXzfy99/I2NhYI/MFG4vb7XMrKyvi4+NZtWoVP/30\nE8nJyXqKvOH453UArr4W/NOkSZN49913CQkJYcKECboKTy+MjY3p2bMnPXv2JCIiggULFtCuXTvC\nw8PZvXv3dZ+jUqlu+hhArVazZ8+e694a/PsaYGRkhKmpad3zjYyMrrom/LPev/99s3pv9RqkT888\n8wxRUVG39L5KSEjg5ZdfpqCggOTkZGJjYykrK8PBweGq6R//9M++/efn4f/27T+pVCrUavVN620I\nfXszjT1vaDJzAIuLi2nWrBmmpqZs2bKFM2fO1PscPz+/ug/In3/++aq6PDw8MDIyYtGiRdTW1t6w\njnvvvZf169ezb9++uhNPGquJEyfyxhtvXDPyUVxcXLdA4X/nTv1TfHw88+bNo7y8HICCggKtxdpY\n3EmfT5o0iaeeeoqYmBgcHR11FWqD5evrS2pqKpWVlRQVFbFp06brluvQoQPnzp3jxx9/vGo+ZmOT\nlpZGenp63eMDBw7g6+tLcHAwubm5dQlgdXU1R48erSu3dOlSAHbs2IG9vT329vbY2tpSUlJSV6ZP\nnz58/vnnV9V9u/5uZ+nSpXTq1Elj9eqTk5MTI0aM4Ntvv637WefOnVmyZAnwV6LSrVs34K8R2piY\nGJ5++mkGDfo/9u49rub7jwP461RyiVy714Qu0v223CKSCGHkfr+0GZsxt90wl2nYzOb3Y22mMGzY\nMPu5JbkroVwioax0UQpRup3P748408JSnb7VeT0fDw/ne87nfL/v8/Z1eve9vD99oa6uDm1tbbRq\n1Qrbt28HUHxk65/X/v4buVyu+Dm4ZcsWdO7cuVLWW53V9rqh1heAhYWFqFu3LkaOHInIyEjY2tpi\n48aNaNu27b++d9asWVi7di0cHR1L3IX17rvvIjg4GPb29rh27dorf8vR1NREt27dMGTIkJceCh8+\nfDg6dOiA2NhYGBsbl/hPXpMYGxvj/fffL/X8nDlz8NFHH8HR0fGVR+969eoFX19fuLi4wMHB4bXv\nEHN3d4efnx8OHz4MY2NjHDhw4LU/Q01Tnpw7OztDW1v7lUcTTE1NMXPmTAQFBcHY2LjE6TNV8ey7\nw8TEBEOGDIGNjQ2GDBkCR0fHl75nyJAh6NSp00sL6zlz5sDY2Bg5OTkwNjaWrKVHRTx69Ahjx45F\nu3btYGdnh5iYGCxcuBCamprYsWMH5s6dC3t7ezg4OJS4w7devXpwdHTEO++8o/iO69evH37//XfF\nTSDffvstIiMjYWdnh3bt2mHdunWvHV9WVhbs7OywevVqxc0T5V1vdfpO+fDDD0v8HPruu++wYcMG\n2NnZYdOmTSVuFBg6dCg2b96sOGULFBeJ69evh729PaytrRU3NJSVlpYWIiIiYGNjg9DQUMyfP79C\n663O3zGqUjfU+qngoqOjMXnyZMlaL8jlcjg5OWH79u0wNzeXJAai5yUnJ8PDwwPXrl2Dmlqt/x2w\n3Mrz3dG3b1/MmDFDcVc7FfPw8MDKlSvh4uIidShE/0pV6oZa/e2/bt06DB8+HEuWLJFk+zExMTAz\nM4OnpyeLP6oWNm7cCDc3NyxdupTF3yu87nfH/fv3YWFhgfr167P4I6rBVKluqPVHAImIiIioJB4C\nICIiIlIxLACJiIiIVAwLQCIiIiIVwwKQiGo1dXV1ODg4wNraGvb29vjqq69KNHZWhtmzZ8Pa2hqz\nZ89W6naIiMqLN4EQUa3WsGFDxbRfd+/exYgRI9CpUyd8/vnnSttm48aNkZmZWSXTYBUWFkJDQ2Um\ndSKiSsIjgESkMnR1dREYGIg1a9ZACIGEhAS4u7vDyckJTk5OisbFY8aMwa5duxTvGzlyZKkGt0II\nzJ49GzY2NrC1tVXMQOHr64tHjx7B2dlZ8RxQ3NvL3Nwc6enpimUzMzOkp6cjPT0dgwYNgqurK1xd\nXXHy5EkAQEREBDp06ABHR0d07NgRsbGxAIpnd/H19UX37t3ZdoaIykcQEdViWlpapZ5r3LixSE1N\nFY8fPxa5ublCCCGuX78unJ2dhRBChIWFif79+wshhLh//74wNTUVBQUFJdaxY8cO0aNHD1FYWChS\nU1OFiYmJSE5Ofuk2hRBi4cKFYtWqVUIIIQ4cOCDeeustIYQQw4cPF8ePHxdCCHH79m3Rtm1bIYQQ\nDx48UGz30KFDivEbNmwQRkZG4t69e+XMChGpOp43ICKVVVBQgGnTpiEqKgrq6uq4fv06AKBr1654\n9913kZ6ejp07d2LQoEGlTrOeOHECw4cPh7q6OvT09NC1a1ecPXsWvr6+L93ehAkT0L9/f3zwwQf4\n6aefFNPxhYSElJgK6+HDh3j06BEePHiAsWPHIi4uDjKZDAUFBYoxXl5eaNasWWWmg4hUCAtAIlIp\nt27dgrq6OnR1dfH5559DT08P0dHRkMvlqFevnmLcmDFjsHnzZmzbtg0bNmyolG2bmJhAT08PoaGh\niIiIwM8//wyg+HTwmTNnSmwfAKZNm4Zu3brh999/R0JCAjw8PBSvvWouUSKif8NrAIlIZaSnp+Od\nd97BtGnTIJPJ8ODBAxgYGEBNTQ2bNm1CUVGRYuy4cePwzTffAADatWtXal3u7u745ZdfUFRUhPT0\ndBw7dgxvvvnmv8YwadIkjBo1Cn5+foqbRHr27InvvvtOMSYqKgoA8ODBAxgZGQEovu6PiKiysAAk\nolotNzdX0QamR48e6NmzJxYsWAAAePfddxEcHAx7e3tcu3atxFE1PT09WFlZKU7T/tPAgQNhZ2cH\ne3t7dO/eHcuXL4e+vv6/xvPsJpHn1/vtt98iMjISdnZ2aNeuHdatWwcAmDNnDj766CM4OjqisLCw\nImkgIiqBbWCIiF4gJycHtra2OH/+PBo3blxp642MjMSMGTNw/PjxSlsnEdHr4hFAIqJ/CAkJgZWV\nFd57771KLf4CAgIwaNAgLFu2rNLWSURUHjwCSERERKRieASQiIiISMWwACQiIiJSMSwAiYiIiFQM\nC0AiIiIiFcMCkIiIiEjFsAAkIiIiUjEsAImIiIhUDAtAIiIiIhXDApCIiIhIxbAAJCIiIlIxLACJ\niIiIVAwLQCIiIiIVoyHlxvfv34/p06ejqKgIkyZNwrx58144bufOnRg8eDDOnj0LFxeXV66zRYsW\nMDU1VUK0RERERNVbQkICMjIy/nWcZAVgUVERpk6dikOHDsHY2Biurq7w9fVFu3btSozLzs7G6tWr\n4ebmVqb1mpqaIjIyUhkhl5KcnAxDQ8Mq2ZaqYW6Vi/lVHuZWuZhf5WFulauq8vtvB8qekewUcERE\nBMzMzNC6dWtoampi2LBh2L17d6lxn332GebOnYt69epJECURERFR7SPZEcA7d+7AxMREsWxsbIzw\n8PASY86fP4/ExET06dMHK1aseOm6AgMDERgYCABITU1FcnKycoL+h/T09CrZjipibpWL+VUe5la5\nmF/lYW6Vq7rlV9JrAF9FLpdj5syZCAoK+tex/v7+8Pf3B1B86LMqD2HzcLnyMLfKxfwqD3OrXMyv\n8jC3ylWd8ivZKWAjIyMkJiYqlpOSkmBkZKRYzs7OxuXLl+Hh4QFTU1OcOXMGvr6+VXZ9HxEREVFt\nJVkB6Orqiri4OMTHxyM/Px/btm2Dr6+v4vXGjRsjIyMDCQkJSEhIQPv27bFnz54yX9xIRERERC8m\nWQGooaGBNWvWwNvbG1ZWVhgyZAisra0xf/587NmzR6qwqBqITLyPr08l435ugdShEBER1UqSXgPo\n4+MDHx+fEs8tWrTohWPDwsKqICKSWvKDJ+j7YwTSHuVhQ3QGVvlaY7SLMWQymdShERER1RqcCYSq\njYIiOYZsjMTDvAJ80tkABo3qYey2KHRecxJX07KlDo+IiKjWYAFI1cbsP2JwMiELn/Ywx2QXA0TP\n6oqlvS1xKSUbdiuPYvYfV5CTXyh1mERERDUeC0CqFn65cAerj8djmIMh3uloijrqMqiryfBxDwtc\nm+uBXpY6WBl2C+bLQrHncqrU4RIREdVoLABJcjGp2Zj4azTsDLTxqZc5mjXQLPG6YeP6+GOSG/ZO\ndEU9DXX033AWvQPP4HZmjkQRExER1WwsAElS2U8KMSg4EnU11BDQpy2s9bVfOrZPO31cm9cNsz1a\nI+zmPVh+eQRLDl1HfqG8CiMmIiKq+VgAkmSEEJjwSxTi0h/hi95t0dNS91/fU0ddDcv7WePirK7o\n2LIpPtsfC+sVR3D0ZkYVRExERFQ7sAAkyaw6dgs7LqZgaqdWGOlsDHW1srd6MddpiNB3O2LzCEfk\n5BfB47+nMWzjOaRl5ykxYiIiotqBBSBJ4tjNe5iz9yq6mTXH7G6t0bBu+VpSjnQ2xvV53eHf/g3s\nvJQC82WhWHMiHkVyUckRExER1R4sAKnKpTx8gqGbzsGocT183tMSxk0aVGh9WnU18L2fPSJnuKOt\nrhbe+/0ynL4+hnOJ9yspYiIiotqFBSBVqeJmz+dwP7cAy/tYoXPrZpW2bnvDxgif7o41A21w50Eu\nXL85Dv9fozmlHBER0T+wAKQqNXfvVZyIz8SnPcwx0Nag0qd4k8lkmNq5FeLmdcdQB0Osj/gLZl8c\nxqbIRAjB08JEREQAC0CqQtujk7Hq2C0MsTfAOx1NoamhvN2vqZYmto52xpEpHaHXqC7GbC2eUu4a\np5QjIiJiAUhV42paNiZsi4KdQSN81tMCzbU0//1NlaBLm+a4OMsDS3oVTylnu/Io5vwRwynliIhI\npbEAJKV7lFfc7LmOuhqW+VjB5hXNnpVBXU2GT7yKp5TzttTBirCbsAg4gj+ucEo5IiJSTZIWgPv3\n74elpSXMzMwQEBBQ6vV169bB1tYWDg4O6Ny5M2JiYiSIkipCCIGJv0Qj9u4jfOHTFt5t/73Zs7IY\nNq6PvZPc8McEV9RVV4PvT2fR+4cz+CuLU8oREZFqkawALCoqwtSpU7Fv3z7ExMRg69atpQq8ESNG\n4NKlS4iKisKcOXMwc+ZMiaKl8lp9PB6/Rifj3Y6mGPWazZ6Vpa+1Pq7OfTql3I17sAw4gqUhnFKO\niIhUh2QFYEREBMzMzNC6dWtoampi2LBh2L17d4kx2tp/nyp8/Phxpd8xSsp14tY9zP4jBh5tmmNO\ntzblbvasDJoaxVPKRc/qivYtm+LTfZxSjoiIVIdkP5Hv3LkDExMTxbKxsTHCw8NLjfvPf/6Dr7/+\nGvn5+QgNDX3hugIDAxEYGAgASE1NRXJysnKC/of09PQq2U5NdPdxAQZvugo9LQ3McGkC9dz7SM4t\ne2PmqsptQwA/DzDF71cbYcnRJHj89zT6WzbFou4maNGgTpXEIAXuu8rD3CoX86s8zK1yVbf8Vp9D\nMi8xdepUTJ06FVu2bMGSJUsQHBxcaoy/vz/8/f0BAC4uLjA0NKyy+KpyWzVFQZEcw9edxv28IgQP\nc0A/B8NyHb2tytxONTTEuM5WmLnnCn6KSERoQja+8GmLKR1Nq8Vpa2Xgvqs8zK1yMb/Kw9wqV3XK\nr2SngI2MjJCYmKhYTkpKgpGR0UvHDxs2DLt27aqK0KiCPv7fNRy7lYlPPM0xwFa/xpy6fzalXMT0\nzrDUKZ5SzvnrYzifxCnliIiodpGsAHR1dUVcXBzi4+ORn5+Pbdu2wdfXt8SYuLg4xeM///wT5ubm\nVR0mvaadF5OxMuwm/OwM8G4nU9TVUJc6pNfmaNwEER8UTymX9HRKube3X8QDTilHRES1hGSngDU0\nNLBmzRp4e3ujqKgIEyZMgLW1NebPnw8XFxf4+vpizZo1CAkJQZ06ddC0adMXnv6l6iP27iOM3xYN\nG/1G+Myr6po9K8OzKeWGORph6m+X8GP4bey8mIxvBthgpJNRjTmqSURE9CKSXgPo4+MDHx+fEs8t\nWrRI8Xj16tVVHRKV06O8QrwVdBbqakBAHyvYGlZts2dlaa6liW2jnfFuR1NM2XkRo7dcwLpTt/Hj\nEDu01WskdXhERETlwplAqMKEEJj8azSu3X2EL3q3RS8Jmz0ry/NTyl1Mecgp5YiIqEZjAUgV9t2J\neGyLSsaUDqYY7WJSa++afTal3NU5HujJKeWIiKgGYwFIFXIyPhMf7olBl9bNMKd79Wr2rCxGTerj\nz6dTymmqy+D701n4/BDOKeWIiKjGYAFI5ZaWnYchGyOh36guFnlb4o2mDaQOqUr1tdbHtbndMcuj\nNY7cyIBlwBF8EXIdBUWcUo6IiKo3FoBULoVFcgzbdA73cgqwom87dGnTXOqQJKGpoYYVT6eUc3uj\nKT7ZF4t2y4/g2M17UodGRET0UiwAqVw+2XcNYTfv4aPuZhhoV3OaPSuLhU5DhE3tiE0jHJCTX4Su\n/z2F4ZvO4W52ntShERERlcICkF7b75dSsPzITQyy1cfUGtrsWVlGOZvg+rzumNz+Dey4mAKzZaH4\nz4l4FMmF1KEREREpsACk13I9/RHGbo2CtV4jLOhpiRYN60odUrWjVVcDgX72CH86pdy03y/DeRWn\nlCMiouqDBSCV2eO8QgwKioSaDPiyT9ta0+xZWZyeTin37UBrJN0vnlLunR2cUo6IiKTHApDKRAgB\n/+0XcSU1G0t7t0UvKz2pQ6oRZDIZ3uvcGrHzumOwnSECT9+G2bJQ/HwuCULwtDAREUmDBSCVyX9O\nJmDLhTt4p2NLjKnFzZ6VpbmWJn4Z44ywdztCt6EmRm25gC7/OYXYu4+kDo2IiFQQC0D6V6cTMjFz\nzxW4t26Gud3M0Khe7W/2rCzPppRb3MsSUXcewGZFGObu5ZRyRERUtVgA0ivdzc6D38Zz0G1YF5/3\ntEDLZqrV7FkZ1NVk+NTLAlfndkNPSx0sP1I8pdxeTilHRERVhAUgvVRhkRzDN59HxqN8LO9jBQ+z\nFlKHVKsYP51Sbs/TKeX6/XQWfX7klHJERKR8khaA+/fvh6WlJczMzBAQEFDq9a+//hrt2rWDnZ0d\nPD09cfv2bQmiVF2f7Y9F6I0MzOtuhkH2Birf7FlZ+j2dUu5Dj9Y4HFc8pdyyw3GcUo6IiJRGsgKw\nqKgIU6dOxb59+xATE4OtW7ciJiamxBhHR0dERkbi4sWLGDx4MObMmSNRtKpn9+VUBITewEAbfUzt\nzGbPyqapoYaV/axx8emUch//7xqsl4dxSjkiIlIKyQrAiIgImJmZoXXr1tDU1MSwYcOwe/fuEmO6\ndeuGBg2Krzlr3749kpKSpAhV5cSlP8KYrRfQTq8hFvQ0hw6bPVeZZ1PKbRzugEd5hej631MYsZlT\nyhERUeWS7HbOO3fuwMTERLFsbGyM8PDwl45fv349evfu/cLXAgMDERgYCABITU1FcnJy5Qb7Eunp\n6VWynaqUU1CE/ltiIeRyfNJBBzqyHCQnV/01abUxt6/D01AdR8e1xaKwJGyLTsbeK6n4yN0Io+11\noFYJp+JVPb/KxNwqF/OrPMytclW3/NaIfh6bN29GZGQkjh49+sLX/f394e/vDwBwcXGBoaFhlcVW\nldtSNiEExmy9gGsZufhuoA2GdjSVtN9fbcpteW0a9wZmJN2H//aL+PhwIn65+gAbhjrA0bhxhdfN\n/CoPc6tczK/yMLfKVZ3yK9kpYCMjIyQmJiqWk5KSYGRkVGpcSEgIli5dij179qBuXZ6KVKa1p25j\n87k7eLsDmz1XJ07GTXD26ZRyifdz4fLNMU4pR0REFSJZAejq6oq4uDjEx8cjPz8f27Ztg6+vb4kx\nFy5cwNtvv409e/ZAV1dXokhVw5nbWfhg92V0btUMc7u3YbPnaubZlHLXOaUcERFVAskKQA0NDaxZ\nswbe3t6wsrLCkCFDYG1tjfnz52PPnj0AgNmzZ+PRo0fw8/ODg4NDqQKRKkf6ozz4BUdCR0sTi7wt\nYNpMS+qQ6CWeTSl3ZAqnlCMiovKT9DCPj48PfHx8Sjy3aNEixeOQkJCqDknlFMkFRmw+j7uP8vDT\nUAc2e64hupoVTyn3RUgclh+5AduVYZjZtQ0W9LRA/Tps2UNERK/GmUBU3Pz91xASl4G53c0wyI7N\nnmsSdTUZPutZPKVcD3MdfBl6AxbLQvFnDKeUIyKiV2MBqML2XE7FF4dvYICNPt7r3Ar1eOSoRjJu\nUh//m1w8pVwddRn6ri+eUi4xK1fq0IiIqJpiAaiibmQ8xpitF2Cly2bPtYViSrmuT6eU+zKUU8oR\nEdELsQBUQTn5hRgUFAkA+LKPFRyMmkgcEVUWTQ01rPS1RvSHXeBq0kQxpdzxW5xSjoiI/sYCUMUI\nITBl5yVcSnmIxb0s0duK7XVqI0vdRjg6tROChzkgO68QXf5TPKVc+iNOKUdERCwAVc73p29jY2QS\nJrd/A2NdTaChzl2gNhvjaoK4ed0w8U0T/BqdArMvQvHfk/GQs3cgEZFK409/FRLxVxam77qCjqZN\nMa+7GbTr1ZE6JKoCDevVwY9DHRD+fieY62hh6m+X0XXDFWw9fwdFchaCRESqiAWgish4lIfBwZFo\n3qAOFveyRKvmbPasapxNmuLsB+747yCb4v6PP5+HxbJQbIxMRCFvFCEiUiksAFXAsx/2adl5WN7X\nCt3Y7FllyWQyTOnYCicm2uC/b9lAXU2GsVuj0OaLUKwPv807homIVAQLQBWw8EAsDl3PwJxuZhhs\nb8hmzwQ1mQxTOrXCtbnd8KOfHbQ01THp14toteQw1p5MQF5hkdQhEhGRErEArOX2xqRhSUgcfK31\n2OyZSlFTk2Fi+5a4MscDwcMd0LRBHbz72yW0XHwY3x67hdwCFoJERLURC8Ba7Na9xxi95TwsdbSw\nwMsCuo3Y7JleTCaTYYyLCS7O6oqto5xgoF0X03dfwRuLQ7DyyE08ziuUOkQiIqpELABrqdyCIgwK\nioRcDizv2w5OJmz2TP9OJpNhmKMRzs/sgp1jXdCqWX3M3huDN5aEIOBwHLKfsBAkIqoNWADWQkII\nvLvzEqKTH2JRL0v4sNkzvSaZTIa37AwQ8UEX/DHBFZY6DfHR/67BZPEhLD4Yiwe5BVKHSEREFSBp\nAbh//35YWlrCzMwMAQEBpV4/duwYnJycoKGhgR07dkgQYc30Y/hfCDqbiElub2D8m2z2TBXT11of\np97vjAOT3WBnoI35B67DZHEIPt13DZk5+VKHR0RE5VCmyuC7775DVlZWpW64qKgIU6dOxb59+xAT\nE4OtW7ciJiamxJg33ngDQUFBGDFiRKVuuzaLTLyPab9dRoeWbPZMlatnW10cm9YJoVM6wMW4MZaG\nxOGNxSGYuzcGGZxijoioRilTAZiWlgZXV1cMGTIE+/fvh6iEaaQiIiJgZmaG1q1bQ1NTE8OGDcPu\n3btLjDE1NYWdnR3U1HgEqyzuPc7H4OBINHva7Ll1CzZ7psrXzawFQt/tiOPTOqFjy6ZYceQm3lgS\ngpm7LyMtm4UgEVFNoFGWQUuWLMHixYtx8OBBbNiwAdOmTcOQIUMwceJEtGnTplwbvnPnDkxMTBTL\nxsbGCA8PL9e6AgMDERgYCABITU1FcnJyudbzutLT06tkO2VRJBcY8/sNJD94glU9TdBWK7/K8qAM\n1Sm3tVFl5Ld1XSDItyWiUprj61PJWH08Hv89mYCRti0w1U0f+g01KyHSmof7rnIxv8rD3CpXdctv\nmQpAoPiicH19fejr60NDQwNZWVkYPHgwvLy8sHz5cmXG+K/8/f3h7+8PAHBxcYGhoWGVbbsqt/Uq\nC/bHIizhIT72NMMEDwvUrwX9/qpLbmurysqvoSHg42yBC0kPsOBALIKj07D5UgbGv/kGPvE0h0nT\n+pWynZqE+65yMb/Kw9wqV3XKb5nOra5evRrOzs6YM2cOOnXqhEuXLmHt2rU4d+4cdu7cWa4NGxkZ\nITExUbGclJQEIyOjcq1L1f3vahoWHbqOfu308H7nVrWi+KOax9G4MfZMfBMXPuyKPlZ6WB/+F1p/\ncRgTtkUh/l6O1OEREdFzynQEMDMzE7/99htatmxZ4nk1NTXs3bu3XBt2dXVFXFwc4uPjYWRkhG3b\ntmHLli3lWpcqi7+Xg1E/X4CFjhYW9LSAnnY9qUMiFWdroI3fxrsi9m42PtsXi83nk7AxMhHDHY0w\nv6cFzHUaSh0iEZHKe+URwMzMTGRmZmL69Olo1KiRYvnZHwCwsrIq14Y1NDSwZs0aeHt7w8rKCkOG\nDIG1tTXmz5+PPXv2AADOnj0LY2NjbN++HW+//Tasra3Lta3aKregCIOCz6JQLrC8rxWc2eyZqhFL\n3Ub4dawLYuZ0wxB7Q2yPTkHbL49g6MZzuJqWLXV4REQq7ZVHAJ2dnSGTyV54169MJsOtW7cqtHEf\nHx/4+PiUeG7RokWKx66urkhKSqrQNmqz9367jAt3HmKVbzv0sdKTOhyiFzJroYUto52RkJmD+fuv\nYXt0CrZHJ2OgrT4+97aEjYG21CESEamcVxaA8fHxL32tMlrBUPmtD/8L6yP+wsQ3TTD+zTfY7Jmq\nPdNmDbBxhBO+8MnB/P3X8UtUMn67lIp+7fTwubclHI0bSx0iEZHKKFPVMH/+/BLLcrkco0aNUkpA\n9DE37ZsAACAASURBVO/OJd7H1N8uwe2NJvjI0xyN67PZM9Ucxk0a4KdhDrj5cXdMdnsDR25kwGnV\nMfQKPIOIvyq34TwREb1YmQrAxMRELFu2DACQl5eHgQMHwtzcXKmB0Ytl5hQ3e25Svw6W9m6LNmz2\nTDWUvnY9BA6xx61PPDG1U0ucTsiC2+oT8Fx7CqfiM6UOj4ioVitTAfjTTz/h0qVLWLZsGfr164du\n3bph4cKFSg6N/kkuFxj18wXcefgEX/axQnfzFlKHRFRhOg3rYs1bdkj4xBMfuLfC+TsP0GnNSXRZ\ncxJHb2ZIHR4RUa30ygLw/PnzOH/+PC5cuIDp06fjl19+gbm5Obp06YLz589XVYz01OJD17Hv2l18\n2LUNhjgYQiaTSR0SUaVpqqWJVQNscPvTHpjt0QYxadnw+O9pdPj2BEKup/O6YyKiSvTKm0A+/PDD\nEstNmzZFTEwMPvzwQ8hkMoSGhio1OPrb/mt38fmh6+hjpYvp7mz2TLWXdr06WN6vHeb3tMCyw3H4\nMfwveH1/Bs7GjbG4lyV6tdXlLz9ERBX0ygLwyJEjVRUHvUJCZg5GbD4Ps+ZaWOhtCX02eyYV0LCu\nBpb6WOHTHuZYfuQm1p2+DZ8fI2BvqI1F3pboZ63HQpCIqJzKdA1gWloaJk6ciN69ewMAYmJisH79\neqUGRsWeFBRhcHAkCorkWNHXCi5s9kwqpr6mBhZ4WyL+Y08s7W2JjMf56L/hLGxWhGHnxWTI5Tw1\nTET0uspUAI4bNw7e3t5ITk4GAFhYWOCbb75RamBU7P1dl3Eu6QEW9bJEn3Zs9kyqq56mOj7uYYH4\nj7tjRV8rPMovwuDgc7BafgTbLtxBEQtBIqIyK1MBmJGRgSFDhkBNrXi4hoYG1NV5DZqybYj4Cz+c\n+QvjXU0wgc2eiQAAdTTUMaubGW5+1B3f9LdGYZHA8M3nYbEsFBsjE1FYJJc6RCKiaq9MFYWWlhbu\n3bunuN7mzJkzaNyYXfuV6ULSA7y78xLeNGmCj9nsmagUDXU1TO/SGnEfdcd/37KBupoMY7dGoc0X\noVgffhsFLASJiF6qTAXg119/DV9fX9y8eROdOnXCmDFj8N133yk7NpWVlZOPQcGRaFxPA0t7W8JM\nh82eiV5GTU2GKZ1a4drcbvjRzw4NNNUx6deLaLXkMNadSkBeYZHUIRIRVTuvvAv4GScnJxw9ehSx\nsbEQQsDS0hJ16vCIlDLI5QKjtlxA4v1c/Ohnh+7mOlKHRFQjqKnJMLF9S0xwewObziVhxZGbmLLz\nEj4/eB0fe5phcvuWqMf2SUREAMp4BDAnJwcBAQH45ptvYGNjg4SEBOzdu1fZsamkpYfj8L+rd/Fh\n19YY4mgENTW2uSB6HTKZDGNcTHBxVldsHeUE/UZ18f6uKzBZHIKvwm4iJ79Q6hCJiCRXpgJw/Pjx\n0NTUxOnTpwEARkZG+PTTTyu88f3798PS0hJmZmYICAgo9XpeXh6GDh0KMzMzuLm5ISEhocLbrM4O\nXLuLBQdi0bstmz0TVZRMJsMwRyOcn9kFO8e6wLRpfcz6IwYmi0MQcDgOj/JYCBKR6ipTAXjz5k3M\nmTNHcdq3QYMGFZ6WqaioCFOnTsW+ffsQExODrVu3IiYmpsSY9evXo2nTprhx4wZmzJiBuXPnVmib\n1dntzByM+Pk82jRvgM+9LWDQuL7UIRHVCjKZDG/ZGeDsjC7YM94VFi208NH/rsF40SEsPhiLB7kF\nUodIRFTlylQAampqIjc3V3EX8M2bN1G3bt0KbTgiIgJmZmZo3bo1NDU1MWzYMOzevbvEmN27d2Ps\n2LEAgMGDB+Pw4cO1cj7QvMIiDN4YibxCOZb3aQfXN5pKHRJRrdTPRh+np7tj/+Q3YWugjfkHrsNk\ncQg+23cNWTn5UodHRFRlynQTyOeff45evXohMTERI0eOxMmTJxEUFFShDd+5cwcmJiaKZWNjY4SH\nh790jIaGBho3box79+6hRYsWJcYFBgYiMDAQAJCamqpoWK1s6enplbKeuYduIzLxAT7vagjnZvIq\ni786q6zc0oupen5ttYFf3mqF0381w6ozKVgSEoevj97EeAcdvOOij2YNyvTV+EKqnltlY36Vh7lV\nruqW3zJ9ywUHB6NPnz4YPHgwWrdujdWrV5cqwqTk7+8Pf39/AICLiwsMDQ2rbNsV3Vbw2URsvpiB\ncS7GeN/LBk3Y70+hKv8dVRHzCwwyNMSg9lY4EZ+Jzw/E4r9n0/BTVDqmdDTFnG5m0GtUvjMdzK1y\nMb/Kw9wqV3XKb5lOAU+cOBFPnjzBnj178N577+Htt9/G6tWrK7RhIyMjJCYmKpaTkpJgZGT00jGF\nhYV48OABmjdvXqHtVidRdx7gnR0X4WLcGB/1MGPxRySRzq2a4dA7HXD6/c7o2ro5vjl2Cy2XhOC9\n3y4h+cETqcMjIqp0ZSoAu3Xrhk8++QSLFy/G5MmTERkZibVr11Zow66uroiLi0N8fDzy8/Oxbds2\n+Pr6lhjj6+uL4OBgAMCOHTvQvXt3xXWINd2zZs/a9TTwhU9bWOg0kjokIpXn1rIp9vm3x9kPusDL\nvAXWnkpAq6UheGfHRSRm5UodHhFRpSnTKWBPT088fvwYHTp0gLu7O86ePQtdXd2KbVhDA2vWrIG3\ntzeKioowYcIEWFtbY/78+XBxcYGvry8mTpyI0aNHw8zMDM2aNcO2bdsqtM3qQi4XGLM1Cn9l5SJw\nsB082eyZqFpxMm6MPya54VLKQ8zfH4sfw//C+vC/MMbFGJ/2sECr5g2kDpGIqELKVADa2dnh3Llz\nuHz5Mho3bowmTZqgQ4cOqF+/Yq1KfHx84OPjU+K5RYsWKR7Xq1cP27dvr9A2qqNloXHYG5OG2R5t\nMNTRkM2eiaopWwNt/D7eFdfSsvHZ/lhsOpeE4LOJGOFkhPk9LWHWgtM0ElHNVKYCcNWqVQCA7Oxs\nBAUFYfz48UhNTUVeXp5Sg6uNDsWm47P9sehlqYMZXVqhgWb57zYkoqrRVq8Rto91wY2Mx/hs3zX8\nGpWCn8/fgZ+9IRb2tEBbPV7CQUQ1S5mqjzVr1uD48eM4d+4cTE1NMWHCBLi7uys7tlrnr6wcDN98\nDq2bNcBCb0s2eyaqYcxaaGHraGckZOZg/v5r2B6dgl+jkjHQVh+fe1vCxkBb6hCJiMqkTAXgkydP\nMHPmTDg7O0NDg0esyiOvsAh+G8/hSaEcy/tawa0lmz0T1VSmzRpg4wgnfOGTg8/2xeLX6BT8dikV\n/drpYZS1NszkDaChpgYNNRnU1WTQePqn9GM1aKjLoC4rfo6XgxBRVSlTNTdr1ixlx1Hrzdh9BRF/\n3ceKvlboZ60vdThEVAmMmzTAhuGOWNbHCvP3x2LrhTv4IyYNQFy51icDFEWi+j8LRpkMGurPPy5d\nYCr+qKuVHK94rSxFafG4so1BqSL2hY+fxfrCmJ4rhl+yvbJ0fxBCQAhAAJALAfnT5eLHKLUsnn/+\n2XvkgMCLx5d6P4rHl3j/P9b793v++f5n7ym+KfD5mIvX8eLPUPr94gXr+Mdn+2fMT8eXWH46rk5h\nLub00kXDujzQowr4r1wFNkUmYu2p2xjjbIxJ7VuijnqZuu8QUQ2hr10PgUPssdSnLYKOxUC9gTaK\nhECR/Omfp4/lAiiUP3tc/Hfhc4+Lx0HxWC4XKHzuvc/Gl3j/03FFcoH8IjlyC4AiUagYU3I8SsTz\nzxjlcii2V52oyaAoIAUEhLhQqnipXhHXHGqy4vmyZSjeN9dHZeAHP3v4tNOTOjRSMhaASnYx+SHe\n3nERzsaN8YkXmz0T1WY6DetipIOe5N3+xXNHfp4dGRIljgj9ffRHPBsj//uolHhaOBbI5SgoLP67\nsEigoOjpY7lAQVHx30VFAgXy4j+Fz8bJ5SgqQvHy8wWuXKBIvLgI/bvYxUuK1+Kxebk5qFdf6+/C\nRfa0iMGzx8V/y/D8Y1mJQufZY7Wn4xSPn63v6boU68M/H7/kvc9v8x/vVZf9HZ/as/c8LWplANTU\nip9Tw7OjnlCMU3v2WE323HN/P35+3eoyGdTUiuNRf+45mUwGdTVATe3pe/H3JQfPPse+Czew6HgK\n+qyPwEBbfawdZFfu2XCo+mMBqET3cwvwVtBZNNTUwBe92eyZiKrG84VMbZOcnCx5gV1b9TRriuEd\n22LWnhh8f+Y2Dl8PxVe+7TDR7Y1aMwkD/Y3nIpVELhcYu/UCErJyEdDHCj0s2OyZiIiqt7oa6vju\nLVuET3dH6+YNMHn7RbivOYkbGY+lDo0qGQtAJfnyyA3suZKGGe6tMIzNnomIqAZxNGqMczO64Ive\nlohKfgib5WFYfDAWBUVyqUOjSsICUAkOX0/Hp/uuwdtSBzO6tmazZyIiqnHU1GT4qIcFrsz2QMdW\nTTH/wHXYrghDxF9ZUodGlYAFYCVLup+L4ZvPw7RpAyzsaQlDNnsmIqIarGWzBgid0hEbhjogK7cA\n7VefwLs7LyL7SaHUoVEFsACsRPmFcvhtPIecgiIs72uF9qZs9kxERLXDuDdNEDu3G/zsDbDu1G1Y\nBIRi75VUqcOicmIBWIlm7rmCM7ezMN/LAr42bPZMRES1S5MGmvhljAsO+LuhQR119PvpLAZuOIu0\n7DypQ6PXxAKwkvx8Lgn/OZmA0c5GmNz+DTZ7JiKiWsvLUhdX53bD++6t8OfVNJgvC0Xg6QQIwZbc\nNYUkVUpmZia8vLxgbm4OLy8vZGW9+ILSXr16oUmTJujbt28VR/h6LqU8xOTt0XAy0sYnPczRtIGm\n1CEREREplaaGGlYPsEHEdHeYtWiAt3dcQqfvTuJ6+iOpQ6MykKQADAgIgKenJ+Li4uDp6YmAgIAX\njps9ezY2bdpUxdG9ngdPmz1raWrgCx8rWOqy2TMREakOB6PGiPygCwJ8rHAp5SFsV4Th8wOxyC9k\ny5jqTJICcPfu3Rg7diwAYOzYsdi1a9cLx3l6eqJRo+pbUAkhMG5bFBIycxHg0xZebPZMREQqSE1N\nhrmeZrgyxwPurZtj4cHrsF0ZhvDbbBlTXUnSoC4tLQ0GBgYAAH19faSlpVVofYGBgQgMDAQApKam\nIjk5ucIxlsWKsFvYdfk+pjjrwMNADampKVWyXVWQnp4udQi1GvOrPMytcjG/ylMZudUAsNG3JX6L\n0cLnR++gw7cnMMquBT7taoyGmuoVD7IGq277rtIKwB49eiA1tfTt4UuXLi2xLHs6SXVF+Pv7w9/f\nHwDg4uJSJfNEHrmRge8u3IeXRQt82see/f6UgPN9KhfzqzzMrXIxv8pTWbmdZmiIUR3bYsrOS9gc\nlYyDtx7iez979FfxDhnVad9VWgEYEhLy0tf09PSQkpICAwMDpKSkQFdXV1lhKEXygycYtukcjLU1\n8bk3mz0TERH9U5MGmtg62hkT3Uzw9o5LGLDhLHyt9fD9YDvoa9eTOjyVJ8k1gL6+vggODgYABAcH\no3///lKEUW7NterAz94AC7sYooNpM6nDISIiqrZ6WOji6pxumO7eCvuu3YVFwBF8f4otY6QmSQE4\nb948HDp0CObm5ggJCcG8efMAAJGRkZg0aZJinLu7O/z8/HD48GEYGxvjwIEDUoRbSl0Ndax5yw7e\nFs2lDoWIiKja09RQwzcDbBD5gTvMW2jhnZ2X0PG7E4i9y5YxUpHkJpDmzZvj8OHDpZ53cXHBjz/+\nqFg+fvx4VYZFRERESmRn2BhnP3DHyrCbWBISB7uVYZjX3Ryf9DCHpgYnUKhKzDYRERFVGTU1GeZ0\nN0PMnK7o2ro5Fh26DpsVYTidkCl1aCqFBSARERFVOeMmDXDwnQ7YPMIBD58UoNN3J+H/azQePimQ\nOjSVwAKQiIiIJDPS2QSxc7tjmKMhfgz/C+bLQrHrEvvqKhsLQCIiIpJU4wZ1sGWUM0LeaQ/tehoY\nGBSJfuvDkfLwidSh1VosAImIiKha6G6ug5g53TCjSyscjE2HxbJQrD2ZALmcLWMqGwtAIiIiqjbq\nqKvh6/42ODejC9rqNsS7v11Ch29P4FpattSh1SosAImIiKjasTHQRsQH7ljRzwrX7j6C3VdH8dm+\na8gvlEsdWq3AApCIiIiqJZlMhlkeZoiZ4wGPNs2xJCQO1suP4FQ8W8ZUFAtAIiIiqtaMmtTHwbc7\n4OeRjniUX4TOa05i8q/ReJDLljHlxQKQiIiIaoQRTsa4Pq8bRjgZYf3TljG/XWTLmPJgAUhEREQ1\nRqN6dbB5pBMOv9MBTerXwaDgSPT9MRzJD9gy5nWwACQiIqIap5t5C1yZ44FZHq0Rcj0DFgGh+M+J\neLaMKSMWgERERFQj1VFXw4p+1jg3wx3t9Bpi2u+X0f7b47jKljH/igUgERER1WjWBtoIn+6Or33b\nIfbuY9h/dRSf7ruGvMIiqUOrtiQpADMzM+Hl5QVzc3N4eXkhKyur1JioqCh06NAB1tbWsLOzwy+/\n/CJBpERERFQTyGQyzOjaBlfneqC7WQssDYmD9fIwnLh1T+rQqiVJCsCAgAB4enoiLi4Onp6eCAgI\nKDWmQYMG2LhxI65cuYL9+/fjgw8+wP379yWIloiIiGoKw8b1sd+/PbaNckJOfhHc/3MKE3+JYsuY\nf5CkANy9ezfGjh0LABg7dix27dpVaoyFhQXMzc0BAIaGhtDV1UV6enqVxklEREQ101BHI8TO64bR\nzkYIOpsI82Wh2BmdLHVY1YaGFBtNS0uDgYEBAEBfXx9paWmvHB8REYH8/Hy0adPmha8HBgYiMDAQ\nAJCamork5Kr5B2ZBqjzMrXIxv8rD3CoX86s8tTW3AR76GNBGC3MO3cbgjefQvVUclnu1hEEjzSqN\no7rlV2kFYI8ePZCamlrq+aVLl5ZYlslkkMlkL11PSkoKRo8ejeDgYKipvfiApb+/P/z9/QEALi4u\nMDQ0rEDkr6cqt6VqmFvlYn6Vh7lVLuZXeWprbt8yBPq5mOOTfdfw7bF4dA2KQUAfK7zb0RRqai+v\nQSpbdcqv0grAkJCQl76mp6eHlJQUGBgYICUlBbq6ui8c9/DhQ/Tp0wdLly5F+/btlRUqERER1XJ1\n1NWwvG87jHM1xvit0Xjv98sIOpuIjcMd0U6/kdThVTlJrgH09fVFcHAwACA4OBj9+/cvNSY/Px8D\nBw7EmDFjMHjw4KoOkYiIiGqhdnraODO9M77p3w43Mopbxnz851WVaxkjSQE4b948HDp0CObm5ggJ\nCcG8efMAAJGRkZg0aRIA4Ndff8WxY8cQFBQEBwcHODg4ICoqSopwiYiIqBaRyWSY3qUNrs7xgJdF\nCywLvQGrL4/guAq1jJEJIWrVnCkuLi6IjIyskm0lJydXq/P5tQlzq1zMr/Iwt8rF/CqPKud2e1Qy\nPth9GckP8zDOxRirBtigSf06lbqNqspvWesgzgRCREREKs3PwRCxc7thrIsxNp5LgvmyUGyPSkYt\nO0ZWAgtAIiIiUnkN69VB0HBHhL3bEc0b1MGQTefQ+4dwJN3PlTo0pWABSERERPSUe+vmuDzbA3O7\ntUHYzXto++URfHv8FuTy2nU0kAUgERER0XM01NUQ0LcdLszsAhv9Rpi+6wpcvzmOyykPpQ6t0rAA\nJCIiInoBK71GOP1+Z6weYI2b9x7D8etjmLc3Bk8Kan7LGBaARERERC8hk8nwvntrxM7rjp6WOvjy\nyE20W34ER29kSB1ahbAAJCIiIvoXeo3q4s9Jbtgx1hn5hQIea09j7JYLyMrJlzq0cmEBSERERFRG\ng+wMcW2uB8a7GuPn88UtY365cKfGtYxhAUhERET0GhrWq4Ofhjni6NSO0GlYF8M2n0evwHAkZtWc\nljEsAImIiIjKoVOr5rg0qys+8jTDsVvFLWNWHb2JohrQMoYFIBEREVE5aair4QsfK1z4sAvsDbUx\nc08MXFYdw6Vq3jKGBSARERFRBbXVbYST73XCmoE2SMjKgePXxzC3GreMYQFIREREVAlkMhmmdm6F\na3O7o5elDpYfuYm2Xx7Bkbh0qUMrhQUgERERUSXSa1QXeye5Yec4FxTKBbqvO4OFRxKlDqsESQrA\nzMxMeHl5wdzcHF5eXsjKyio15vbt23BycoKDgwOsra2xbt06CSIlIiIiKp+3bA0QO7cbJr5pAoOG\n6lKHU4IkBWBAQAA8PT0RFxcHT09PBAQElBpjYGCA06dPIyoqCuHh4QgICEBycrIE0RIRERGVj1Zd\nDfw41AFvuxpKHUoJkhSAu3fvxtixYwEAY8eOxa5du0qN0dTURN26dQEAeXl5kMvlVRojERERUW2l\nIcVG09LSYGBgAADQ19dHWlraC8clJiaiT58+uHHjBlasWAFDwxdXz4GBgQgMDAQApKamVtmRwvT0\n6ndRZ23B3CoX86s8zK1yMb/Kw9wqV3XLr9IKwB49eiA1NbXU80uXLi2xLJPJIJPJXrgOExMTXLx4\nEcnJyRgwYAAGDx4MPT29UuP8/f3h7+8PAHBxcXlpoagMVbktVcPcKhfzqzzMrXIxv8rD3CpXdcqv\n0grAkJCQl76mp6eHlJQUGBgYICUlBbq6uq9cl6GhIWxsbHD8+HEMHjy4skMlIiIiUimSXAPo6+uL\n4OBgAEBwcDD69+9fakxSUhJyc4vn1MvKysKJEydgaWlZpXESERER1UaSFIDz5s3DoUOHYG5ujpCQ\nEMybNw8AEBkZiUmTJgEArl69Cjc3N9jb26Nr166YNWsWbG1tpQiXiIiIqFaRCSGq/4zFr6FFixYw\nNTWtkm2lp6dDR0enSralaphb5WJ+lYe5VS7mV3mYW+WqqvwmJCQgIyPjX8fVugKwKrm4uCAyMlLq\nMGol5la5mF/lYW6Vi/lVHuZWuapbfjkVHBEREZGKYQFIREREpGLUFy5cuFDqIGoyZ2dnqUOotZhb\n5WJ+lYe5VS7mV3mYW+WqTvnlNYBEREREKoangImIiIhUjMoWgEuXLoW1tTXs7Ozg4OCA8PDwCq9z\n4cKFWLlyZSVEV3PJZDKMGjVKsVxYWAgdHR307du3Utavijm+d+8eHBwc4ODgAH19fRgZGSmW8/Pz\nK317nTt3RlRUVKWvVwozZszAN998o1j29vZW9BoFgA8//BBff/11mdal7H0vKCgI06ZNU9r6q8rL\n9tcmTZqgXbt2St9+bcljRairqyv+DRwcHJCQkFBqTHJy8ktn1vLw8KhWd6tK4XVqhKCgICQnJ1d4\nm1Wdd6VNBVednT59Gnv37sX58+dRt25dZGRkKOUHqSrS0tLC5cuXkZubi/r16+PQoUMwMjKSOqwa\nrXnz5oqCbOHChWjYsCFmzZolcVQ1Q6dOnfDrr7/igw8+gFwuR0ZGBh4+fKh4/dSpU1i1apWEEdY+\nL9tfExISKvSLYGFhITQ0VPJH1murX7/+K3+JKywshKGhIXbs2FGFUdUcr1sjBAUFwcbG5rXm+a0O\n+7NKHgFMSUlBixYtULduXQDFzaMNDQ1hamqqaJ4YGRkJDw8PAMVfYhMmTICHhwdat26Nb7/9VrGu\npUuXwsLCAp07d0ZsbKzi+R9++AGurq6wt7fHoEGDkJOTg+zsbLRq1QoFBQUAgIcPH5ZYri18fHzw\n559/AgC2bt2K4cOHK17LzMzEgAEDYGdnh/bt2+PixYsAmOPyuHHjBhwcHBTLAQEBWLJkCQAgLi4O\n3t7ecHZ2RpcuXXD9+nUAwLZt22BjYwN7e3t069YNAJCTkwM/Pz9YWVlh0KBBePLkiWKd/v7+cHFx\ngbW1NRYtWgQAOHjwYIkjB/v27YOfn5/SP295dOzYEadPnwYAXLlyBTY2NmjUqBGysrKQl5eHq1ev\nwsnJCStWrICrqyvs7OywYMECxftftu95eHhg7ty5ePPNN2FhYYHjx48DAIqKijB79mzFur7//nsA\nxd85Xbp0gYODg2JecwDYsGEDLCws8Oabb+LkyZOK9f/xxx9wc3ODo6MjevTogbS0NMjlcpibmyM9\nPR0AIJfLYWZmpliuCYqKijB58mRYW1ujZ8+eiuk+nz/ykZGRoWjmHxQUBF9fX3Tv3h2enp7MYwX8\nM5cJCQmwsbEBAOTm5mLYsGGwsrLCwIEDFf8uADBlyhTFd8Cz/xuhoaEYMGCAYsyhQ4cwcODAqv1A\nSvSyGmHRokVwdXWFjY0N/P39IYTAjh07EBkZiZEjR8LBwQG5ubmvrCVGjx6NTp06YfTo0dLnXaig\n7OxsYW9vL8zNzcWUKVNEWFiYEEKIli1bivT0dCGEEGfPnhVdu3YVQgixYMEC0aFDB/HkyRORnp4u\nmjVrJvLz80VkZKSwsbERjx8/Fg8ePBBt2rQRK1asEEIIkZGRodjeJ598Ir799lshhBDjxo0Tv//+\nuxBCiO+//17MnDmzqj52ldDS0hLR0dFi0KBBIjc3V9jb24sjR46IPn36CCGEmDZtmli4cKEQQojD\nhw8Le3t7IQRzXFYLFixQfP64uDhF/oQQYtmyZWLx4sVCCCE8PDzEjRs3hBBCnDhxQnh5eQkhhGjb\ntq1ITU0VQgiRlZUlhBDiyy+/FJMnTxZCCHH+/HmhpqYmLly4IIQQ4t69e0IIIQoKCkTnzp3FlStX\nRFFRkTA3N1fk38/PT/zvf/9T6ueuCFNTU3H79m2xbt06sXbtWvHpp5+KP//8U5w4cUJ07txZHDhw\nQEyePFnI5XJRVFQk+vTpI44ePfrKfa9r166K/erPP/8Unp6eQoji/e3Zv8GTJ0+Es7OzuHXrlli5\ncqVYsmSJEEKIwsJC8fDhQ5GcnCxMTEzE3bt3RV5enujYsaOYOnWqEEKIzMxMIZfLhRBC/PDDD4pt\nLVy4UKxatUoIIcSBAwfEW2+9VUVZLJ/n99f4+Hihrq6u2Lf8/PzEpk2bhBDF+Tx79qwQQoj09HTR\nsmVLIYQQGzZsEEZGRor9UFXz+LrU1NSEvb29sLe3FwMGDBBClM5lfHy8sLa2FkII8dVXX4nxXfPX\nXQAAIABJREFU48cLIYSIjo4W6urqin+PZ+MLCwtF165dRXR0tJDL5cLS0lLcvXtXCCHE8OHDxZ49\ne6r0MyrTy2qEZ7kQQohRo0YpPvPz+68Qr64lnJycRE5OjhBC+ryr5BHAhg0b4ty5cwgMDISOjg6G\nDh2KoKCgV76nT58+qFu3Llq0aAFdXV2kpaXh+PHjGDhwIBo0aABtbW34+voqxl++fBnu7u6wtbXF\nzz//jCtXrgAAJk2ahA0bNgAo/q11/PjxSvucUrGzs0NCQgK2bt0KHx+fEq+dOHECo0ePBgB0794d\n9+7dU5ySY44rx/3793HmzBkMGjQIDg4OmDp1quL6lE6dOmHMmDH48ccfIZfLAQDHjh1TXLfp6OgI\na2trxbq2bt0KJycnODk54erVq4iJiYGamhpGjhyJLVu2IDMzE+fOnUPPnj2r/oOWUceOHXHq1Cmc\nOnUKHTp0QIcOHRTLnTp1wsGDB3Hw4EE4OjrCyckJ165dQ1xc3Cv3PQB46623ABS3dXh2jdXBgwex\nceNGODg4wM3NDffu3UNcXBxcXV2xYcMGLFy4EJcuXUKjRo0QHh4ODw8P6OjoQFNTE0OHDlWsOykp\nCd7e3rC1tcWKFSsU+/aECROwceNGAMBPP/1U4/btVq1aKY5aP5+3V/Hy8kKzZs0AgHkso2engKOi\novD7778rnn8+l897/jvAzs4OdnZ2itd+/fVXODk5wdHREVeuXEFMTAxkMhlGjx6NzZs34/79+zh9\n+jR69+6t/A9WRV5WIxw5cgRubm6wtbVFaGioYn96Hb6+vqhfvz4A6fOushdUqKurw8PDAx4eHrC1\ntUVwcDA0NDQUPxSfPw0GQHEo+Nl7CwsLX7n+cePGYdeuXbC3t0dQUBDCwsIAFP8ATkhIQFhYGIqK\nihSH4GsbX19fzJo1C2FhYbh3716Z3sMcv57n91egeJ/V0NCAEAItWrR44TVAP/zwA8LDw7F37144\nOTnhwoULL11/XFwcVq9ejYiICDRp0gSjRo1S/L+YMGECBg0aBAAYOnQo1NXVK/nTVZ5OnTrh1KlT\nuHTpEmxsbGBiYoKvvvoK2traGD9+PI4ePYqPPvoIb7/9don3PX/zyIs821+f31eFEPjuu+/g7e1d\navyxY8fw559/Yty4cZg5cya0tbVfuu733nsPM2fOhK+vL8LCwvCsXauJiQn09PQQGhqKiIgI/Pzz\nz6+TCsn98//4s1Ner/ru1dLSUjzu0qUL81gBz+eyLOLj47Fy5UqcPXsWTZs2xbhx4xT/PuPHj0e/\nfv1Qr149+Pn5SX49W2X7Z43w/fff4+LFi4iMjISJiQkWLlxYal99pqz788tUVd5V8ghgbGws4uLi\nFMtRUVFo2bIlTE1Nce7cOQDAzp07/3U9Xbp0wa5du5Cbm4vs7Gz88ccfiteys7NhYGCAgoKCUl8u\nY8aMwYgRI2rdb53PmzBhAhYsWABbW9sSz7u7uyvyERYWhhYtWrzyC5w5fjl9fX0kJycjKysLT548\nUVx32bRpUxgYGCh+85fL5YiOjgYA3Lp1C+3bt8fixYvRtGlT3LlzB126dMGWLVsAANHR0Yrfah8+\nfIhGjRpBW1sbKSkpOHDggGLbJiYmaNGiBQICAjBu3Lgq/NSvr2PHjti7dy+aNWsGdXV1NGvWTPHb\nc8eOHeHt7Y2ffvoJjx49AgDcuXMHd+/efeW+9zLe3t5Yu3at4prT69ev4/Hjx7h9+zb09PQwefJk\nTJo0CefPn4ebmxuOHj2Ke/fuoaCgANu3b1es58GDB4qbp4KDg0tsY9KkSRg1ahT8/PyqdeH9Op7/\n7n3VjQnMo3I8/x1w+fJlxbXZDx8+hJaWFho3boy0tDTs27dP8R5DQ0MYGhpiyZIlte579kU1gqWl\nJYDi6wEfPXpUYj9t1KgRsrOzFctlrSWkznvtKtnL6NGjR3jvvfdw//59aGhowMzMDIGBgbh69Som\nTpyIzz77THHR5qs4OTlh6NChsLe3h66uLlxdXRWvLV68GG5ubtDR0YGbm1uJnWPkyJH49NNPS9wc\nUdsYGxvj/fffL/X8s5s97Ozs0KBBg1Jfyv/EHL9cvXr18PHHH8PFxQVGRkYlWmxs27YNU6ZMwcKF\nC5Gfn49Ro0bB3t4eM2bMQHx8PP7f3t3HRVXm/QP/wAyIoqCiyKO6hAoiiAo+pNltpRbuUlYaqfnY\njZXWa3MzX9W9Zm79tKw2u+32XrYni01aLYV05VZX00wUFR8qysgghQEcVB6Vp+H8/mCdDWWGgbnO\nnMM5n/fr5evlDGeu6/qe68x1vnPOdc6RJAlTpkzBsGHDEBYWhnnz5iEyMhJRUVEYMWIEgOZ1P3To\nUERERGDAgAEYP358i/pnzZqFyspKDB482KVxt1d0dDTKysowa9asFu9VV1ejT58+mDJlCr7//nuM\nGzcOQPPpn9TUVLvbni2PPvooCgoKMHLkSEiShL59+2L79u348ssvsW7dOnh4eKB79+746KOPEBgY\niFWrVmHcuHHo2bNniwt6Vq1ahRkzZqBXr1644447kJ+fb/1bYmIiFixYoKmd7jPPPIOZM2ciJSUF\n06ZNs7kc16M8Hn/8cSxYsACRkZGIjIy0Pq1i+PDhGDFiBCIiIhAaGnrTGDB79myYzWZERkYq0WzZ\n2MoRevbsiWHDhiEgIKDFeDB//nw89thj6Nq1K7KysvDiiy86lEsovd75JBAFbN26Fenp6fj444+V\nbopmcR3L77HHHsO4ceMwb948pZuiK8ePH8fTTz9tvQKWOobr0XlLly7FiBEjsGjRIqWboiui1rsu\njwAq6cknn8SuXbvwj3/8Q+mmaBbXsfxiY2PRq1evFrfrIfmtXbsWGzdu1M2cNblwPTpv1KhR8Pb2\nxhtvvKF0U3RF5HrnEUAiIiIindHlRSBEREREesYEkIiIiEhnmAASERER6QwTQCLSJIPBgNjYWERF\nRWH48OF44403Wtw4Ww7Lly9HVFQUli9fLms9v36OKxFRR/AqYCLSpOuPwwKAixcvWu9b+NJLL8lW\nZ0pKCi5fvqz7GwsTkfrxCCARaZ6/vz9SUlKwYcMGSJKEgoIC3HbbbdbnHB8+fBhA8xNktm/fbv3c\n7NmzkZ6e3qIsSZKwfPlyDBs2DNHR0fj0008BNN9YuLq6GqNGjbK+d110dDTKy8shSRL8/Pysz6Gd\nO3cu9uzZA4vFguXLlyM+Ph4xMTH4y1/+Yv3sunXrrO+/+OKLN8X2888/Y8SIETh27JiYlUVEusAj\ngESkC2FhYbBYLLh48SL8/f2xZ88eeHl5IS8vDw8//DCOHz+ORYsW4c9//jPuu+8+VFRU4PDhwzc9\nrebzzz/HqVOncPr0aZSVlSE+Ph4TJ05ERkYGunfv3uozmMePH4+vv/4aAwYMQFhYGL766ivMnTsX\nWVlZ2LhxI9577z34+vri2LFjqKurw/jx4zFlyhTk5eUhLy8P2dnZkCQJiYmJOHjwIPr37w+g+ZFV\nSUlJ+PDDDzF8+HCXrEci0gYmgESkOw0NDVi6dClOnToFg8GAH3/8EQBw++2344knnoDZbMZnn32G\nBx544KaHrR86dAgPP/wwDAYD+vXrh9tvvx3Hjh1DYmKizfpuu+02HDx4EAMGDMDjjz+OlJQUFBUV\noVevXvD29sbu3btx5swZ6/NFKyoqkJeXh927d2P37t3Wx/NVV1cjLy8P/fv3h9lsxr333ovPP/+8\nxWMAiYgcwQSQiHTh559/hsFggL+/P1566SX069cPp0+fRlNTE7y8vKzLzZ07F6mpqUhLS8MHH3wg\npO6JEyfinXfewfnz5/HKK69g27Zt2Lp1K2677TYAzaeV//u//xtTp05t8bn/+7//w3PPPYfFixe3\neL+goAC+vr7o378/Dh06xASQiNqNcwCJSPPMZjMee+wxLF26FG5ubqioqEBgYCDc3d3x8ccfw2Kx\nWJedP38+3nrrLQBoNbG67bbb8Omnn8JiscBsNuPgwYMYPXq03fpDQ0NRVlaGvLw8hIWFYcKECXj9\n9dcxceJEAMDUqVOxceNGNDQ0AAB+/PFH1NTUYOrUqXj//fdRXV0NACgqKsLFixcBAJ6enti2bRs+\n+ugjfPLJJ86vJCLSFR4BJCJNunbtGmJjY9HQ0ACj0YhHHnkEy5YtAwA88cQTeOCBB/DRRx/h7rvv\nhre3t/Vz/fr1Q2RkJO67775Wy50+fTqysrIwfPhwuLm54bXXXkNAQECb7RkzZow10bztttvw3HPP\nYcKECQCARx99FAUFBRg5ciQkSULfvn2xfft2TJkyBd9//z3GjRsHAOjevTtSU1OtVxl7e3tjx44d\nmDx5Mrp37273NDQR0a/xWcBERL9y9epVREdHIycnB76+vko3h4hIFjwFTET0L3v37kVkZCSefPJJ\nJn9EpGk8AkhERESkMzwCSERERKQzTACJiIiIdIYJIBEREZHOMAEkIiIi0hkmgEREREQ6wwSQiIiI\nSGeYABIRERHpDBNAIiIiIp1hAkhERESkM0wAiYiIiHSGCSARERGRzjABJCIiItIZJoBEREREOmNU\nugGi9enTBwMHDnR5vQ0NDfDw8HB5va6mhzj1ECPAOLVEDzECjFNL9BAjoEycBQUFKCsra3M5zSWA\nAwcOxPHjx11er8lkQlBQkMvrdTU9xKmHGAHGqSV6iBFgnFqihxgBZeKMi4tzaDmeAiYiIiLSGSaA\nRERERDrDBJCIiIhIZ5gAEhEREemM5i4CcaVviyvh5uYGALhYdg1X3KusfzO4ARH9eijVtBbOmCph\ncHez+XdJktDYJAEAjO5u1phaU2y+itKmCri7A0Z3d9zi1w1eHgbhbW6v0qo6lNXUAwA8DG4Y1Mcb\np02VAG6OqY+3J/r16IJrDRb8fOkqLE0SLE2SNaZf92Xvbh7o0cWI4spaDOrb3fWB/YokSTZjutGN\nMbXmepwNliYAgMHdDRH+3eFhUPZ3YcHlq6ipt9z0/vWYDO5ubW7PFknC8CBffFtcCfMN301fLyNC\nenaVpe2Oqm2w4Nyvtj1HYrL3Hf31NtskNZcZG+wrXwAO+qG0Chap9b+1Z9y5HpPZfLVFXwb06AI/\nb0+hbe6I6rpG/HLlWrtisjRJaJIkuLnd/B39dX+6ARgaoI59yXclVXb/7si4c53p4lVclCpgcHeD\n+7/WU7CvF3p2VfbK4LLqOpRW11tftyemxqYmSBJaxHS9L3t2NSLYV9lx50ZMADvol8tXEf36gRve\nzW3x6tLqKejt3cV1jWrFt8WVGP7Gje101vfW//1uaD9kLBotuPz2C1i1u8XrP987FE+n59pYGpDe\n+B3m/C0Hn39TYmOJf3923IBeyPrlCmpfTUAXo3LJ7sbDv2DJ598ILrXlOlo0OhTvPhQruI72+c0r\n/xRSzobpw7B027f/etUyzqbXf2t35yy3uZtPYsvpYsGltoxxU1Is5saHCq7DcdV1jYh87UsZSv73\n+NPV6I6rr06ToY72mfbuURz8+bLgUv/dn+eeuwNhfbwFl98+569cxbB1Xwou9fsWr4J9vVC4crLg\nOtqn74u7216o3Zr7Uulx50Y8BdxB14822fNtG7+WXKGoolbW8o/8ckXW8jvq4Lm2B+N9P11yqKys\nf8X4o7nGqTY567SpQvY6ss+Xy16Hq3x5znb/tnaE0ZX2O7jtOeNEofzbiz3XGuRfx9cam2SvwxHi\nk7+WvimulLV8R1yqaZC9Drn3V0q7qvC4cyMmgEREREQ6wwSQiIiISGeYABIRERHpDBNAIiIiIp1h\nAkhERESkM0wAZSTZuP8VqYPEDiIicogEjpdawwSQiIiISGeYAMpIRfd7pFao6YacRERq5gaOl1rD\nBJCIiIhIZ5gAkiZxtgoREZFtiiaAmZmZGDJkCMLDw7F27Vqby3322Wdwc3PD8ePHXdg6IiIiIm1S\nLAG0WCxYsmQJdu3ahdzcXGzevBm5ubk3LVdVVYX169djzJgxCrSSiIiISHsUSwCzs7MRHh6OsLAw\neHp6IikpCenp6Tct98c//hErVqyAl5eXAq0kIiIi0h6jiEJKS0vx/PPPw2QyWY/oZWVlYdGiRTY/\nU1RUhNDQUOvrkJAQHD16tMUyOTk5uHDhAqZNm4Z169bZLCslJQUpKSkAgJKSEphMJicjapu5rKbN\nZSoumWHqWi97W+y5dLlC1vKbmiwuWd/tVXftmt2/m0wmSE1N7SrzirkUJqnamWY5pebqVdnraGxs\nUGV/dkRdre31VVpSjEoPgwtb01JTO7e9jrhWU6VoX1662uCSerSyvdpTeaUMJpOyM5vNZvnHH0Db\n/VlSUoyuCo47NxKSAM6fPx8LFizAK6+8AgAYPHgwHnroIbsJYFuampqwbNkyfPjhh20um5ycjOTk\nZABAXFwcgoKCOlyvo4ot5QB+sLuMr19fBAX1kb0t9vhVGgH8JFv57u4Gl6zvtp1o8crTywuA7eQ3\nKCgIbu5nAFgcrqFX334ICvTpYPuc593NLHsdRqOHCvrzRNuLOKCLVzfY2gb6BQSiexchw1+HuLt/\nI3sdXb17KNqXHtV1AM7IXo/y2ysgapu1xadXHwQFBcpaR1tKmyoAfC97Pcr3p3x9GRAQCG8Fx50b\nCTkFXFZWhpkzZ8Ldvbk4o9EIg8F+lhscHIwLFy5YXxcWFiI4ONj6uqqqCt9++y3+4z/+AwMHDsSR\nI0eQmJjIC0GIiIiInCQkAfT29salS5esN9Y9cuQIfH197X4mPj4eeXl5yM/PR319PdLS0pCYmGj9\nu6+vL8rKylBQUICCggKMHTsWGRkZiIuLE9Fkl+CTxtSNj4IjInIMHwWnPUKORb7xxhtITEzEuXPn\nMH78eJjNZmzdutV+xUYjNmzYgKlTp8JisWDhwoWIiorCypUrERcX1yIZJGovDlVERES2CUkAR40a\nhQMHDuDs2bOQJAlDhgyBh4dHm59LSEhAQkJCi/dWr17d6rJffvmliKa6FJ80pm58FBwRkWP4KDjt\nEXIKOCYmBq+99hq8vLwwbNgwh5I/IiIiIlKGkATwiy++gNFoxMyZMxEfH4/XX38d58+fF1F0p8Yp\nZurGOYBERI7hHEDtEZIADhgwAM8++yxOnDiBTz75BGfOnMFvfvMbEUUTERERkWDCbkjzyy+/4NNP\nP8Wnn34Kg8GA1157TVTRnRanmCnHkYN7nANIROQYzgHUHiEJ4JgxY9DQ0IAZM2Zgy5YtCAsLE1Es\nEREREclASAL40UcfYciQISKK0hROMVM3zgEkInIM5wBqj1MJYGpqKubMmYOdO3di586dN/192bJl\nzhRPRERERDJwKgGsqakB0PzYthtxfhWpHbdRIiLHcA6g9jiVAC5evBgAcNddd2H8+PEt/vb11187\nUzQRERERyUTIbWCefPJJh94jchU55vdxziAREWmFU0cAs7KycPjwYZjNZrz55pvW9ysrK2GxWJxu\nHBERERGJ51QCWF9fj+rqajQ2NraYB+jj44OtW7c63TgiIiIiEs+pBPD222/H7bffjvnz52PAgAGi\n2qQZPGOobjylS0TkGN4GRnucSgB///vf46233sLSpUtbvaIyIyPDmeKJVIXDHxERaYVTCeAjjzwC\nAHjmmWeENIZIlLaSNUmSeBsYIiIH8TYw2uNUAjhq1CgAzaeCiYiIiKhzcCoBjI6OtnsU5cyZM84U\n3+lxzoS6cQ4gEZFjuD/THqcSwB07dgAA3nnnHQD/PiWcmprK02ukOcwXiYhIK5xKAK9f+btnzx6c\nPHnS+v6rr76KkSNHYu3atc61jqiDHEnW+COFiMgxnAOoPUKeBCJJUotHvx0+fBhNTU0iiiYiIiIi\nwZw6Anjde++9h4ULF6KiogKSJKFXr154//33RRTdqfGMobpxDiARkWM4B1B7hCSAo0aNwunTp1FR\nUQEA8PX1FVEskapw+CNyHH9fEambUwngr5//25ply5Y5UzxRh7V9H0DOASQichTnAGqPUwng9ef/\nnj17FseOHUNiYiIA4IsvvsDo0aOdb10nx1/A6sZTwEREjuEpYO1xKgF88cUXAQATJ05ETk4OevTo\nAQBYtWoVpk2b5nzriIiIiEg4IVcBl5aWwtPT0/ra09MTpaWlbX4uMzMTQ4YMQXh4eKu3jPnf//1f\nREdHIzY2FhMmTEBubq6I5hJ1CI8YEjmO3xYidRNyEcjcuXMxevRoTJ8+HQCwfft2zJs3z+5nLBYL\nlixZgj179iAkJATx8fFITEzE0KFDrcvMmjULjz32GAAgIyMDy5YtQ2Zmpogmk+a1vfvhHEAiIsdw\nDqD2CEkAX3jhBdx99904dOgQAOCDDz7AiBEj7H4mOzsb4eHhCAsLAwAkJSUhPT29RQLo4+Nj/X9N\nTQ132CQUj+gRETmGcwC1R0gCCDTfCiY0NBS1tbUAgPPnz6N///42ly8qKkJoaKj1dUhICI4ePXrT\ncu+88w7efPNN1NfXY9++fa2WlZKSgpSUFABASUkJTCaTM6E4pKzsapvLVFwyw2RqkL0t9pRdqpC1\n/KYmi0vWd3vV/2s7tKW42NTuBPCK+SJM7m33u1xqauSvu6GxQZX92RF1tbbXV2lJMSo9DC5sTUsW\ni0X2Oq7VVCnalxdrXDP2aWV7tafyShlMJmUTMLPZNWOflvuzpKQYXRUcd24kJAHMyMjAH/7wB5hM\nJvj7++P8+fOIiIjAd99953TZS5YswZIlS/DJJ5/g5ZdfxqZNm25aJjk5GcnJyQCAuLg4BAUFOV1v\nW4ot5W0u4+vXF0FBfWVviz1+lUYAP8lWvru7wSXru20nWrzy6OIFoMrm0oGBQXBzO9OuGnr19UdQ\nUM+ONE6Ibt5m2eswGj1U0J8n2l7EAZ5dugJo/QdQv4BAdO8i7Pdvu7m7nwEgbxLo5d1d0b50r7T/\nI0wU5bdXQNQ2a4tPrz4ICgqUtY62lDS1vc8TQfn+lK8vAwIC4a3guHMjIReB/PGPf8SRI0cwePBg\n5OfnY+/evRg7dqzdzwQHB+PChQvW14WFhQgODra5fFJSErZv3y6iubrCk+a2dbYpBa5obedaI/ap\nuX9d0TbO2SKRuD1pj5AE0MPDA35+fmhqakJTUxMmTZqE48eP2/1MfHw88vLykJ+fj/r6eqSlpVnv\nI3hdXl6e9f87d+7EoEGDRDTXZTjHTN3YP0REjuEcQO0RciyyZ8+eqK6uxsSJEzF79mz4+/vD29vb\nfsVGIzZs2ICpU6fCYrFg4cKFiIqKwsqVKxEXF4fExERs2LABe/fuhYeHB3r16tXq6V8iV2G+SOQ4\nfl2I1E1IApieno6uXbviz3/+M/72t7+hoqICK1eubPNzCQkJSEhIaPHe6tWrrf9fv369iOaRDrX5\nKDio+xQhEZGa8BSw9ghJAK8f7XN3d2/1/n/jxo1DVlaWiKqIiIiIyElC5gC2pbaNW3JoFU+BqBvn\nABIROYZzALXHJQkgT7WRFnD4I3Icf18RqZtLEkAiV3Nk58MfJkREjuEcQO1xSQKo11NtOg2709Dr\ndklE1F48Bew8ta1BIQlgTU0NmpqaAAA//vgjMjIy0NDw78cAffzxxyKqISIiIiIBhCSAEydORG1t\nLYqKijBlyhR8/PHHmD9/vvXvw4YNE1ENkaJ4xJDIcTxiRKRuQhJASZLQrVs3fP7553jiiSewZcsW\nIc8BJuooR3Y9nAOoX8zlidqHcwC1R1gCmJWVhb/97W+YNm0aAMBikfdB550B9zHqJUkSj+gRETmI\nR3S1R0gCuH79eqxZswbTp09HVFQUfv75Z0yaNElE0arFg0fN1LoeVNosciFuA6QZ3JhJBk4/CcRi\nsSAjIwMZGRnW98LCwvD22287W7Sq8eBRM7WuBzmapdJQyQb2l7LUOjZ0SlyXJAOnjwAaDAYcOnRI\nRFuIxHFg78M5gEREjuEcQO0R8izgESNGIDExETNmzLA+FxgA7r//fhHFE8mCcwCJiBzDOYDaIyQB\nrK2thZ+fH/bt22d9z83NTdMJYGc5eMSvrDhK54uuqJ7bi2u44seH0jtspb8vWsJVSXIQkgB+8MEH\nIorpVDi4qRu7h3iEl4jURG1DkpCrgAsLCzF9+nT4+/vD398fDzzwAAoLC0UU3ampYQfUSQ5UkgNc\n0Zda2l7szfFU+uiYK+afcs4WEdkjJAFcsGABEhMTYTKZYDKZ8Lvf/Q4LFiwQUTQRERERCSYkATSb\nzViwYAGMRiOMRiPmz58Ps9ksomgiIuqElD7KqiUqOJlEGiQkAfTz80NqaiosFgssFgtSU1Ph5+cn\nomiiDmlrwJTA28AQETmKUwq0R0gC+P777+Pvf/87AgICEBAQgK1bt+rywpAb8UebuqlhjiYRUWfA\nI7raI+Qq4AEDBrR4Eoge8OBRM7WuB7W2i1yHmwARkW1CjgA+++yzqKysRENDA+6880707dsXqamp\nIopWLR48aqbW9SBHu/gLuHNhbylLrWNDZ8Sxh+QgJAHcvXs3fHx8sGPHDgwcOBA//fQT1q1bJ6Jo\nog5xZLjkHEAiIsdwDqD2CEkAGxsbAQA7d+7EjBkz4OvrK6LYTo+/gNWNcwCJiBzDo5DOU9s6FDIH\n8Le//S0iIiLQtWtXbNy4EWazGV5eXiKKVi0ePGqm1vWg0maRC3EbICKyTcgRwLVr1+Lw4cM4fvw4\nPDw84O3tjfT0dBFFqxYPHjVT63qQo1lqjZVax+5SFte/OBx7SA5CEsAtW7bAw8MDBoMBL7/8MubM\nmQOTydTm5zIzMzFkyBCEh4dj7dq1N/39zTffxNChQxETE4M777wTv/zyi4jmugy/s8pR26F2Uhfu\nUIlI74QkgH/605/Qo0cPHDp0CHv37sWiRYvw+OOP2/2MxWLBkiVLsGvXLuTm5mLz5s3Izc1tscyI\nESNw/PhxnDlzBg8++CCeffZZEc0lYgJARES6JiQBNBgMAJovAklOTsa0adNQX19v9zNbs2WTAAAb\n9UlEQVTZ2dkIDw9HWFgYPD09kZSUdNNp40mTJqFbt24AgLFjx6KwsFBEc4VQ69w3V1PreuAVa8Qt\ngIjINiEXgQQHB2Px4sXYs2cPVqxYgbq6OjQ1Ndn9TFFREUJDQ62vQ0JCcPToUZvLv/fee7jnnnta\n/VtKSgpSUlIAACUlJQ6dfnbWRXNNm8tUXjbDZLLI3hZ7Ll2ukLV8i8XikvXdXvV1tXb/Xlxc3O6r\ngK+UXYTJ0365cqq5elX2OhobG1TZnx1RW2t7fZWWFKOmi5Dhr0PaGh9FuFZTpWhfllTUuaQerWyv\n9lReuQSlwzSb5R9/AG33Z2lJMao9lRt3biSkJX//+9+RmZmJZ555Bj179kRxcbHQ+wCmpqbi+PHj\nOHDgQKt/T05ORnJyMgAgLi4OQUFBwuq2pdhSDuAHu8v49OqDoKAA2dtij1+lEcBPspXv7m5wyfpu\n24kWrzw8uwCotrl0YGAg3NzOtKuGnn38ERTUuyONE8K7m1n2OoxGDxX054m2F3FAF69uAFr/AdQv\nIBC+XT2E1NMR7u7fyF5HV+8eivZlXZerAL6VvR7lt1dA1DZri08vP8XjLGkqd0k9SscpZ1/2CwiE\nj5dy486NhJwC7tatG/z9/XHo0CEAgNFoxKBBg+x+Jjg4GBcuXLC+LiwsRHBw8E3L7d27F6+88goy\nMjLQpUsXEc0lIiIi0jUhCeBLL72EV199FWvWrAEANDQ0YM6cOXY/Ex8fj7y8POTn56O+vh5paWlI\nTExssczJkyexePFiZGRkwN/fX0RThVHr3Lcb8VoHcZS+cMQV1XN7cQ1X3IRc6Svhla5fS7gmSQ5C\nEsBt27YhIyMD3t7eAJoP4VZVVdn9jNFoxIYNGzB16lRERkZi5syZiIqKwsqVK5GRkQEAWL58Oaqr\nqzFjxgzExsbelCAqSelkgOxj9xCf9EJEaqK2IUnIHEBPT0+4ublZn61aU9P2BRIAkJCQgISEhBbv\nrV692vr/vXv3imieYtTQ153kQCU5wBV9qaXtxd6znpX+brriOdS8Ep6I7BFyBHDmzJlYvHgxysvL\n8de//hV33XUX/vM//1NE0arVWU4By02t60GlzSIX4jZARGSbkCOAzzzzDPbs2QMfHx+cPXsWq1ev\nxuTJk0UUTU6S+0iH2g5pXydPs5SeU6WNOlxFzbHoYg6gmjugk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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def nfl_sunday(ds):\n", " date = pd.to_datetime(ds)\n", " if date.weekday() == 6 and (date.month > 8 or date.month < 2):\n", " return 1\n", " else:\n", " return 0\n", "df['nfl_sunday'] = df['ds'].apply(nfl_sunday)\n", "\n", "m = Prophet()\n", "m.add_regressor('nfl_sunday')\n", "m.fit(df)\n", "\n", "future['nfl_sunday'] = future['ds'].apply(nfl_sunday)\n", "\n", "forecast = m.predict(future)\n", "fig = m.plot_components(forecast)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "NFL Sundays could also have been handled using the \"holidays\" interface described above, by creating a list of past and future NFL Sundays. The `add_regressor` function provides a more general interface for defining extra linear regressors, and in particular does not require that the regressor be a binary indicator. Another time series could be used as a regressor, although its future values would have to be known.\n", "\n", "The `add_regressor` function has optional arguments for specifying the prior scale (holiday prior scale is used by default) and whether or not the regressor is standardized - see the docstring with `help(Prophet.add_regressor)` in Python and `?add_regressor` in R. Note that regressors must be added prior to model fitting.\n", "\n", "The extra regressor must be known for both the history and for future dates. It thus must either be something that has known future values (such as `nfl_sunday`), or something that has separately been forecasted elsewhere. Prophet will also raise an error if the regressor is constant throughout the history, since there is nothing to fit from it.\n", "\n", "Extra regressors are put in the linear component of the model, so the underlying model is that the time series depends on the extra regressor as either an additive or multiplicative factor (see the next section for multiplicativity)." ] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.13" } }, "nbformat": 4, "nbformat_minor": 1 }