{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "block_hidden": true
   },
   "outputs": [],
   "source": [
    "%load_ext rpy2.ipython\n",
    "%matplotlib inline\n",
    "from fbprophet import Prophet\n",
    "import pandas as pd\n",
    "import numpy as np\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_peyton_manning.csv')\n",
    "df['y'] = np.log(df['y'])\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 = -67.4685\n",
       "Error evaluating model log probability: Non-finite gradient.\n",
       "\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_peyton_manning.csv')\n",
    "df$y <- log(df$y)\n",
    "m <- prophet(df)\n",
    "future <- make_future_dataframe(m, periods=366)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Prophet includes functionality for time series cross validation to measure forecast error using historical data. This is done by selecting cutoff points in the history, and for each of them fitting the model using data only up to that cutoff point. We can then compare the forecasted values to the actual values. This figure illustrates a simulated historical forecast on the Peyton Manning dataset, where the model was fit to a initial history of 5 years, and a forecast was made on a one year horizon."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "input_hidden": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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4dPx4U07wnXnW9fe077n5sIgi5DZxbbaqGPr7VlNTk1YLJiI6kirCrr/+eixZ\nsgQPP/wwlixZgp/97GfJPH1MpOtOwWwkkdYc7n5Kg8ISEQk1gVE/b8ftdmPu3Lmora1V8oSpf6fy\n8nIlkD+ZE6GRWIzGIqQu8wPAUGjn5+cjp1dvHDzhRZ9hozB67Dic1c2WkOvoLB191o36fu9+5+La\nkl/h808+Qo9cK+bMmWOq/q9fIJWUlGDTpk2dXjCRS9NcJEyE3XzzzXC5XDh8+DAGDBiA2bNn4+GH\nH8aNN96IhQsXYtCgQXjttdcSdfq4kAnb+rOBRFlzXC4X/G1Bu36/31Qrz44MpKEmsGzu5/rSRw6H\nA16vV3mfB2vz36i8vDwuE2E82h3JIqQv83PHHXeELMtz5JQPS3ftx/X9W3FmFxvMuubo6LNu1PfP\nHXYxGIAeZ/TERcOGmO4ZMFogqfPXAYFKEbGMAekUA5otJEyEvfzyy4avr1u3LlGnJLKURFlz8vLy\nlISWZgra7ehAms2uRy628vLy0NLSoly7+necNGmSRoABwfc9VZZDveh2Op1obW1VCo0bLRDUwgMI\nX+bn80MnA+f5+jsM7dMDkomrePMd9rHUeTTq+yveccG9cS0YY9i+ZTPq6upMVztSv0Dif3d0DEi3\nGNBsgDLmExlBIqw5LS0tSmbxZKYkiERHB9JsdT3yCYvHc1ksFuTm5uKWW25RfkePx4Pa2tqg7xrV\n2ky25VBv0Zo8eTLeeustxUVusVgMBXUsopvvkZLlQLkmZqIKkmoBrQ5Mj1TnUS9c1X0fQECAtS2y\nJEnCggULsGTJkrSwDnV0DMjmhZhZIRFGZDXh3HoOhwO5ubmmG7AiDaThrikWAZEpsSN8wlJbNbnF\ni/+OgiBoCnhbLIEUimYI1lZPuJIkBeVXNCo8DsQmuvk+9VyrCJkBZjGEqQUoBAFMlqOKxwtlKeKf\nr6ioUHKjccJZFc1GR8VUti7EzAyJMCJrqaqqwowZMyBJkiYAWy0+zDhghRtIo40ViiagO1NiR/Q7\nG3lm/NLSUpSWlhpaWSorKxW3Zaqvm7efux/1MMZCCodoRPcH3xzFB99+DwDoniNCllmgjJEJUAtQ\ni8UCi8UCQRAiCg+XywWP1wvZwFL0yYHjgWd7/fpAag5AqRZgpsVWODorppqampQcZKnu39kOiTAi\n7emIxcbtduPee++F3+8HAE22bL34mDVrVqKa3mFCTa6R3BTRiiuzxo5UVVWhpqYGJSUlYctIhXJF\nqWPC+PVw4c1jjYqKikwjwABt4s7FixfD7/dDEISA27BtB2dnhIPX325Jq97SBKtFwE2F/ePQ8s6j\ntvhYbTl48C9/BU6fwJSrrwxwahUJAAAgAElEQVR7bxwOB2y2HPjhhU0nrE54/Bg7dhzGXHoFPv94\nJ7r3OAMFFwzFlVdeaZp7Hg0dcYu73W7N5pPFixdjw4YNaXPNmQiJMAMyxQ2TDXQmQFXtxhFFEQ6H\nw7TiI1oiuSnU19fa2gqn02l4fWaMHamqqsKdd94JAEphdSMhZtQnOAUFBRF3EQqCAL/fbyoLIJ9w\nueWO3w/9ONWRsUu0aJNmv75zP355cT8wxsIm1E4Gdrsda95+B7Vr1uL8onG4aNQYDDqrK/r27BL2\ne+PGjcOz/3wD27ZsxrVXTVB+C8YYZAZsrqvD83/7X/h9PgDAipwc1NbWmuJeq4n3XORyueBru2YA\nph7jsmUeJhGmI9ykHu0qnEgenQlQzc3NhcfjgcViwbPPPqt8j4sPURTR1NQEt9udNoNAJDeFw+FQ\nMqQzxlBdXY2ioqKg/mzG2JGampqgv42eQ32fcDqdSuZxI2Glj7niViYzTlBGu+U43Mrh8/lgs9kw\nb948tLS0GFr/1IgGQosBYKw9YD+VFIwag66DLoTHb+wiPeX1o1tO8FRWMGoMCkaNwQ/P7qa8xhgg\nM4ZXatfguyPfAW0bEARBMN29TkRIQMBCaNPERJphgaUnk8IhIkEiTEeoST3aVTiRXOIdoKp3/VRX\nV2PRokWYNm2a6bavhyKcm8Jut2PatGl4/vnnAQR2hc2YMcPQQmS2/GElJSXKs8f/NkLfJwCEFepq\nYQoErCU8bsyME1QonE6nMrl6vV7cc889AcuPakeoUayb3hIGBMSKOaLCAsgscF8+/GArln1Yr3FH\nfnzgOIrO7aW5Di62dm3bihe3bMaEKy7HdVdehm+/b4XMgG49z4L6Cs1YESMRVnm73Q6Xy6XEg5l1\nTEt3j0RMsDRg1KhRSTtXXV0d69q1KxNFkXXt2pXV1dUxxhibOHEiQ9sCEQCbOHFi0tpEhKeuro7N\nmTNHuVfxYM6cOUwUReV+C4Kg6Q/pTF1dHbNarcq1WSwWNmfOnFQ3SyHc/VywYAGbOHEiW7BgQdTH\nCPVMq7nrrruYIAjK7zFx4kTT3etI/fyuu+7SjFH8etR/22w2ze+wYcMG9vd/LWOOWc8zx6znGR5c\nzs55dDV7Z89B5vNLSb5CY7475WXvNx5h819bxXK7BN/HLV8fYX5J1nzHL8ns+ddXs9wuXZlFFFmX\nLl3ZqnUb2damI+zdLw+zaQ8+wgSLRfld7rrrrlRcWlii6beZSizXnojxPx5Eq1vIEqYjlIUk2lU4\nkXwSYbHR70hjJnVPdQS73Y758+drdoaaxQoQyQ1RUFCAlpYWFBQUhD2Ovk9Ecq0WFRXBarUqv0d5\nebmp7rM615kgCJgyZQoeeughTRtLS0uxePHiQBC71QqLxQKv16spvcUrQKj7st4SdurEcezethWO\nH12d1GsMh8wYdmx5Dz6vF7Lcbh0ZN24cGAMOn/Qir5sNW+u3wOVy4aeXjsf299s/74MX727ciKlD\nCiAzhovH/ARWqxV+nw9WW+ScY6lAv6GEbxzqTPxfuhBtOEQmuC1JhCG4MxtN6tz1SDFh2YHRjrR0\nc0+Fo6ysTFMCxSwDVzg3RGcG3HBC3e12Y+bMmUo82KRJk+J2PfHC5XIpKTYA4M0338SqVas0O9vs\ndjs2bNigCdwvLy/HO++8owTZ84L0vC97PJ6gmLBTx7/Hw7f9FqMGrMWlP70kqddphICAO/KiMT+B\nLccGvy8Qy3TZZZfhhEcCY8Deo6fQsGUnfnn9NUr/uPeRv8KWY4PPB1htORhSNCbgZg3Kg2Ymx6sW\nfm+NNpqku/iIRDSL60xwW2a9CItlYC8rKyPxlaEYrSqNdqSl2wMejlCDXCpX2OFi/IwGXP56Z9qq\nFzjLli3DmjVrTDWxORwOpXoDx2jS0d9Tfa1LfUyYy+UyjAnz+XzYuHGjKUQYELDiXVA0Gk8738BH\nDXW45NLxuLBoNPYcOg6ZMchMQN1772r6x/ffteBp5xvYWb8ZYy+5FMNHjoYsB6xqH9ZvRp/evZV4\nufXr15vmXusJ1e/TXXzEAzPu4o6VrBdhmaCkic4RSYibLUA9FHrxpC9OHY1YSbV5P5wbQj3giqKI\n+vp6zJ49O+p0EqHEpbpGKGDOzOnchXz33XcrbWWMKXUtQ11bNG6dIBEmCLDabLh0/PjEXVCMyG0W\nrOFFxSgeOxbdbKKSboKBQZYFjPvppZqcYoVjL8HwomJcXDwGXawW+NuS0DIGXDT6J9i7qx6yJMEi\nihg4cGCqLzEkoYRGuouPaIlUAcRsu7hjJetFWKgOnsn+dkJLugpxvchSi6fKykolA3y0ua/cbjfK\ny8sVq1CqfotQopcPuHPnzkVtbS2WLVumxDvFUsZGFEXNbld1jVAAUWVkTwVlZWXYvn27srOV1zPt\n7CJC747s1qMnZi98HeNM9AxwwSUzBlkO3KNAKpGAQBPA0H9oIZxLV2DnljoMLBiNHxWMbHM0Bmph\nfvhBPba538MFo+y4oHA0Wq//Jb7d24Qf/nAw8vPzU3p94QglNNJdfERDNIvCdFkkhyLrRZhRB0+1\nNYBILnoLSzrkBtP3UXUxaq/Xi5qaGuVvteUklFgxKnJtRiECACtWrFDSSQDhRRMXqk1NTZpcYOpi\nzQ5VjVC9QDMbpaWlmpxnjg4mGHa73XA6nejRowf6nz9C816X7j0w7OJCmKRyERjQZsFiYBCUf0tt\nli2ZMViEwGeGXVyMCeN/ik8PnsApnwQLY2BMwIcN9bj/NzfA5/XClmPDnEWv46wf9EP3vB/A9/0h\nbNq0Cbm5uaa854Cx0Eh38REN6bpAjoWsF2FAcGfW33in05nxK45sxig3GJ+gzXq/9X0U0LonSkpK\nlFggvSXMSKzw43EBduWVV5puhyBgXOngjjvuMBRN6tqgVqtVCUrnu115qSqHw6GULDKr+OKEsoqE\nck0ZWfTVpWscDgcse74CRkzUnEc2UZ4wxe3I/wNDq1/C8ndc2LJ5EwrG/AQXjRoDmQEev4yWUz7F\n7SgLgev44P3N7TslfcDO+joUjxmLQ8374V79BmS/DxUVFaZ+5kORyV6bTIj5igSJMAP0lhH17rh0\nfEiJyPAgZb/fnxbiWz84qYtR8/aqdz8C4WPC9MczowADgisdzJ8/P2TpInVtUL/fj7KyMjQ3N+PN\nN98EAMiyjKNHj2osimZLVRBuwwgnlDAL5YJ16UrXyG2/EUcAFKGaavySjNM+OeCKRCAAnzHgw4Z6\n3P2rn8Hv88Jqs6HypTcxcvQ4AMB3p7yQ5ICQtCAg3EaOvUS1U9KGEaPt+Obbb7HliAD06g8cakwb\nS0u4MIRMm58yIeYrEiTCDFDf+KamJlRXV2e0OTRT6OyKMJ3Et9p6p34tXCxQuHgpl8tlmE3dbEQ7\nKBtZzLgAWb58uWLx27Fjh2JR9Hg8KC8vR3l5uXKMVP4WoWpgGrXLyDWltpaqXbCVlZWa0jWiAEiq\n74kWAaJoMYU78uvvTuO7017FBSkzBgZgZc0r8Hk9AACf14vVS19F0eixAAQluz5jDBIDmMgwYuQY\nPO18A9vffw9DisbCKzFsda0BLpoEyMy0cYB6IoUhZOL8lOluVxJhBuhXGvoYDMJ8xDJhhSIdxTfv\nmx11n3KXnd/vhyiKmD9/vimvU000g3JeXh5EMbCDThRFTW1QHv+ldtvyWLh33nkH69atUwL1jQR4\nstw/RmER4Wpg6uGLCn3C4ZaWFrjaStf06NEDIwouwv99ekrzXaslYZcVE4F4MKDVLwUC8AXW5pYU\ngj7HXZU8Vuzj7Vuxs74Oo3/yU1xcPBbDRxZjaOEoHGv14/Xqv0PmKpPJ6N+/v+kWWkbo+0RzczMs\nFgsYY1k3P2WKG5ZEmA6jyTzTzaGZQGcnLA6f4N1uNxYtWgRZliGKoikHt84GrRq57O6++24A5q2L\nGmng5QHnixcvhiRJirDk12NkSSsoKNAkNeWWIyB412UyN+3oXcS8PdHeb/1uUlmWIQgC8vLylH7u\nass5hU/36L4t4LjHj+657VOEX5LxZcspDO3TI85XGh7GgFafDKtFgM8vg+UwTC65CSte/2dbxnsb\nJk69URFiMmPYvX0rHp72C/i9Prz8/NOofPENXFBYDG4cvWCUHfv/85mye7K5uTmp19RR9Nb6VatW\nQZIkWCwWVFZWZs38lEmb50iE6TCa2GbNmpW2Nzhb6MyEFWpiF9q27gtCcDJLM+BwOJRg844UINa7\n7IBAnFSogt6pJtLAy9/nlh8gcO9aWlo0xzFy05aXl2P9+vWKIOXoBXhnhW8s6AUj0DGr/Jo1a5QN\nCZIkYebMmQCAlpYWDBgwICg9A2tTM998fxq9utrQxSYCAE77ZBxr9ekPn1AEAFJbenuZAX4G7N62\nFbu3unH/fz+BPbs/VFyUATtYwB25Y0sd/F6fEoi/7f3NGFZYrHz2/ItGYc8Hm/FN2wXLsmxaa7ca\nI2s9F9f6fp7JJPM5TDQkwnSE242RKebPTCTWCYvfy7y8PCWflnpi58HLjDH4fD5TPuS7du1SagH6\n/X7s2rUrpjbyIHe1aAEASZJMeb2RBl7+vlqA5eTk4OjRo5g0aVLYcmN2e3s9Tf6b8lxUapK9W0sv\nGGO1yut/E8YYWltbMWPGDMiyjMsvvzxoM8Khk148tfEr/HXysKDjySmIE+MSS2YMn+1owGN33gSf\n1wfRGhCHkl/CumWvofLFN1A0eixkxjCi2A5rW4kjm82GwrE/AWMMu7ZtxfYtm3F+4Tj0GTQE37TI\nEBAsts2M2lqfraEysT6HZp67SYTpiGankZnMn/HuXGburJGIdsJSpy7gsT/65KTqLOqyLCuZyc1C\nVVWVJnu6JElRWbD095f/RkePHsUzzzxjuoLeaiINvHpXzbRp09CzZ0/MnTsXAPD2228DCO1q5fU0\ny8vLsXbtWsiyDL/frxF74TYGJOPZiTVImf8mp0+fVl5TF/KWJAkbN24E+ozWfG/t54fxuIHgSnaw\nviAAktyeLmP3Vjd8bRYu5lPlv/PIWP3GqygsHgvGGH58cTH+UvUaPtpah8Kxl2BYYTF2b9+KR6b9\nAn6fD8Lon+PSKyYAAIYNHw77jwP1QisqKtJm7IvHzsF0He9jufZwiZpNAUsDRo0aleomsDlz5jBR\nFBkAJooimzNnTqqbxOrq6ljXrl2ZKIqsa9eurK6uzlTHMyN1dXXKfQTABEFgNpst6JrnzJnDLBYL\nA8AsFosp7jenrq6OWa1W5Rr4f5HaGen+1tXVsTlz5pj6vkdqo/79iRMnan6jiRMnRjxOR56DZD87\nkdqvfm/BggVMEATN7yCKIhMEgTkcjsB/s55njlnPMzy4XPlv81ct7LTXzxhj7NhpH9u173u2+auW\nhF6Xnq8On2Suzw+xl7d9w/75wV42e/EyltulC7OIIrPl5DBR9RzYcnLZgtdXs3WfHWRv7trH/r3j\nW/bq9m/Z6x/uY2v3HGTTHnyEWSxtz/6Uh5VrfualN5nT6cz4sU9PNoz3jDE2depUTd8XBCEp1xut\nbiFLWJQk2w0RDfH2i6uP19raCqfTaZ7VQpxwOp2abOsWiwXPPvusJjWD2+1GU1OTsrvOZrOZ4n5z\njGK5LBZLRAuW0+lUXI/RFH82C0ardR5Qrm+v/hpKSkoUCxgAFBYW4u677w6bfqQjFoZkxqiEssqr\nNyWor2379u2Rc3597gbO17aXof07h0960eqXNK8lEp8ko9Un47RPgsQCZYcYA4ZcNBKzq1/DVx/W\nY8RoO1YvfRUrX3sRYAyS5Me299/DjwpGotUnt5U1Cnxv17atOLjvG1isYiAfh8rNbBGAxsbGtIgx\niqflKpPiqkJRVVWl5AXkhBr/UgWJsCgxY9K4eAtDh8MBURQhSRIYY1i8eLG5zLZxQL8LqqCgQCPA\n1CkbWFtcUMQJLMnwWC6esPTBBx9Er169Iu4YXLhwoXIt+kB+s7ol9IJDXRMzmrAA7nqsqalBYWEh\n5s2bp4mBCzUYd9Ttl4xFmtHkCSBoU4L6PT08UJ9jObIXvXLsgEf1GV3WfJklJybs6Gkfvjx8EgwM\nuz7Yik3vvgv5vNHoPXAICs/tifMvLsahrz/HknlPomevQCoSWZZhs9lw8dhLFJMHGIMMhnWv/xOL\nnnikbaezFZdP/TWOjboEOP4NgEDs4ODBg023yOZEil/tKGY0LMSbmpoazd8Wi8V0OeFIhMWA2SwF\n8RaGdrsd06ZNw4IFC5S4EbOsFqIhGiHRt29fzd87d+7Ejh07IIoifv/73+Ppp5/W7JBjbXEzZvod\nOhIPoQ++v+aaazTxjpdffrkyGG/YsME016oWHB6PB08++aSS00udXDWSECsrK0NFRUVQ4H64WqGx\nCNNkLtKMJk99AD4AJR2Fw+HAokWLlOSsFosFVqtV2XggCAJ+esVV6DnwB1j9kYhTvoClmCdIDRyr\nPf2DESc8fvTIjc908sXhE0pW/Blt9R7lmW8A//kKy28bjYVPP45li+drviOKVtz7yOMYXjQaHr/c\nZrETsGfHB1hU8QgkqS0NC/Ph4Ldfo3sxsMfXCwDQs+8gTBja23SLbEC7CBEEwTB+taOY0bAQK5Ge\nUb0l/A9/+EPYBWsqIBGW5sRbGBoVCDarlURNtBsnSktLsWjRIvh8PmVQAwKB7U8++WTQ581ayNro\nvnOLF9BeA9FocgaAVatWKcLD6XTC4wmYQDwej6nc0FxwcOH1xRdfAIBy79auXYtNmzZFZRXQB+5P\nnjwZq1atMqwV2hFhqt61Fq8A71Bli8LVj+TWW1mWMXPmTOWz3JrCLb8AsHTpUgDA2ef0hsVqwaSh\nvfHG7oC1WJaZJhCf12PkFmLO8VY/9hw6juL8szp1re3nCQi+be9vhs8XqPeo/B4rXsby/3su6DsM\nDC0tR8AYw0fbt8L93ru4sNiOjxvqtK57xrB7y3sQ8sZAHjoeAND97N7o378/+vfvb5p+z3G5XErf\nFwRBEc+RxqRox2yzGRZiIZoxX20JD7c7OpWQCCOCUBczBtKjNlk08Q1cpEyePBl9+/bV1BEEoMR/\n8V2T3M2Xl5cXMgYpFRgNsFVVVbjnnnuUeLeFCxdi+vTpKCoqUiZnoN0N5fV6MXfuXIwZM8bUiSq5\n4Jg5cybq6+uV188991zs27fP0CoQagLSixeXy4Xa2lrDPqMXpnPnzsUbb7wRsb3x3EUd7lj6yVN9\nbfX19Vi2bJkm9kWf69DtdmPu3Ln4/vvvAQDbd+zApdeWoHvvAcpnJAN3JGMMHr+s5A5Tv7dr/zEM\n/8EZsFg6l1ePF+ouGndJwNWoiuH8//7fH8GYHPQdiyjixyPHYde2evzpthL4vYEkrn8or4AtJwc+\nn5f7KAPfl9rznYmdbG8iUe/SZozhd7/7XURLjll38sebaGPauCUcMGfYBYkwQkH/8PJae+kQvOlQ\nJS61WCxBLia32w2Hw6GIkdzcXDzwwANKigr+2t///vegIH0zDWihyjPde++9mg0HPp8PCxYsQJcu\nXZSakHl5ebjvvvsUy9ibb76JZcuWwWazKbGAVqvVdEWs7XY7Ro4cqRFh5513HlpaWpTfIS8vDxUV\nFWHjZowG4GhjYmpraw1dlnri+bxEeyy1BbSoqAgrV64MGfvHP8+fBf6eLEk4tP9b5PZvr1ck6Sxh\njDHIAHY3H8NF/c5Ejqq2USCrvQSfLCPXohVoscAD6RkYRowcjWt/8Wu8+cpLyvvy9Y9ArJ0T6Oss\n4HIMfDHw3e2qJK1+P/D9d0cw67lXsGfb++hx5llw/u9fIPl9YBAUgSm2WfXMOEG3tLQoY5TFYlEE\nmHpRqG93pH5jxuvsCLHGtJltLOeQCCMUjB7edAreZG0xLFyALF68WHEjudqSr3I8Hg+eeeYZAIFE\njVOmTMFDDz0U9FCaTYTqY6TKy8tx3nnnBe2WBNoTc27fvh3PPRdw4Wzfvh3PP/+85jNer1cJWBXF\nwASayoHa6NylpaVYuHChcg+3bNmiCGa18FLHzegLchuJV7XVV32dpaWlSu1QIPA7RXPv4/m8RHMs\n/eKC7+gFAi7b2267zbBPq58F/tne/QbgG7RbhbgYAgJSR26LeJdVr6s/G9wDY8Prl/HpwRNKVnsB\nwNU/vwlv9v15+4d+WIxbH/or9n6+G2uX/kuxkvn9PriWv47JJTfBarPB7wesZ+Sh1/CfYMiFw3FB\nYTEAwHruMBz+zyc42HsE3m0OtFi0mHeCdrRtwlEvNsJtVKmsrERTUxOs1sDUrl6g8P5jxuvsCLHG\ntJltLOdEFGHz5s3Df/3Xf+Gss+Lj7weAv/3tb6iurgZjDHfccYdSRoNIHPqi5EYd12jQT5fgTZfL\npbEEMcY08U0OhwM2m00TnMx3QIqiiDFjxhhem9lEqD5Gau3atbBarbDZbEqc2yWXXAK3261k/Ffv\nci0tLcULL7wQVJ6Hizifz9fhupvxINRkaLfbMX36dM2mkZaWFsyaNUsJuOduZC4k1TFjt9xyi2YA\n1l+j3vpnt9vx+9//Hv/7v/8LAFEnsI3n8xLpWG63W5mAOZIkwWazKXFDRlbNvLy8oBjBwlFjcE7f\n/oEyPvxYbVapwyc8OHIq0Jd4vJYemTHFotRRTvskeNrSYASMXAIuLBoN1NVpPnf5z3+NlUvmQ5a0\nsV6u2ldx1dQb8f+efxXPfHgS31l64K8f+vD+ZT3w1ZGTECDg+S8EABfi5737AG1ueNEimHaCBrQL\nBX07a2pqlLFAXQlBFEXccccdKCoq0og0/XNgpuvUE81CMJaYNrON5ZyIIuzAgQMYPXo0Ro4ciWnT\npmHSpEmdqqW3e/duVFdXo76+Hjk5Obj66qtx3XXXYciQIR0+JhEefcZgQRAMcySFGvTTIXiTP2Dq\nzOBquDXM6XSiubkZb731lmINsFqtQatFdYB7vEVoZ6xM/B7ps7oXFxdj5MiRiti64YYblHg39S5X\nu11bnke9OQGAImBSNVCHmwyLiopgtVqVwtzc5exoS63Ca2jOmzcPNTU1yu/DRYq6zmaka3S73Zg3\nbx4AxFwcOZ7PS6hj6S1gHCOXup7t27cHvZbbJTfwD5XCYozhi8MnITMGiyAoFiqjHZIMLC7pK7jI\nkxkgCszwXH5ZRo8zzwJ01jhZkvBh/WZMuW0Gvtu1TXn94+1bsXrtelxYbAcQcKGKgoAzhMBvJ7We\nwrhx40w3QfNxm6eiKSoqChIShYWFyu4/vjjhAnvgwIGKy573c0DrglePe2Ya4xNhmTSrQSGiCHv8\n8cfx2GOP4e2338bixYsxY8YM3HjjjZg+fTp+9KMfxXzCTz75BGPHjkW3bt0AAJdddhmWLl2Khx56\nKPbWE1GhntjUQZ7plLAzEvwB4/mw/H4/bDYbSktLNaLnueeeQ0VFBWprawEE3DDXXHONslrk7hwu\n0LhLc9asWXFpZzwGF7s9UHB606ZNyiq4oaEBu3btUq535cqVyuf1cUG8PI+rrVwRL+sDAL/73e8w\ndepULFmyBB6PR0lzkEjU9yfUapVbfSRJUnb/VVdXY9GiRZg8ebLGBVdQUKBcn8/ngyiKKCoqwqJF\niwAE+r56w4LRpMufGaPiyIl21arzQunjE/l5jVyKY8aMiUkscgRBwIljx9DSvA/oP1B5XWJMEV4M\nLBCor7OGnfT4se9YqyLAOpNSrz0NBg8tEPQ6CwDglRi++mR34I8BIwDRBjTtgNVqw7CR9iBX6V2/\nvgF+jwdWmw249zUAQMOujzEqJ7BgO/Dlxzgvr7vpJmiXamekLMuYMWMGNm7cGLS5RJ3LkDEWtKNb\n3c9LS0sVi1q8847Fk0RZJs04v0UVEyYIAvr27Yu+ffvCarXiu+++wy9+8QtcddVVmgE8GkaMGIFH\nHnkELS0t6Nq1K1auXIni4uIONT4VpGNQo3pi01vCzLDiixf8AeODTKgYCP1E37dvX41IVbtq4m0J\nitfgYmQRUyfn5K7ZUHFB/LeqqKhQBnFBEHDs2DG4XC7cd999Si3JmTNnRqxJ2VGMRKnRZKgXRfw+\nSZKk2eHKrX4Oh0Ox2AuCgO3btytJiCVJQktLi3Ieo92v4cRgImNq1NYPHoxttVqVdBr8ua2srNS4\n13Nzc6MWYEVFRcpGDM6uD7fDsnsnekzuBx7szgURENBCPFCfsXaZc+CEB8c9PsiMQYChZooJqS2u\nkx/HyBImyXL7eW6cAwAYvn42fnH//8OQi0dCHx7pvWIGsPoZ+P3tovU/7CwMQkCEWdr6idkmaIfD\nodk4xPMV6ne6iqKohBcIgoArr7xSkzsvlHdD7cY3m2vSrK7DRBBRhP3tb3+D0+nEOeecg9tvvx1P\nPvkkbDYbZFnG+eefH7MIu+CCC/CnP/0JEydORPfu3VFYWKi4QNRUVVWhqqoKAHDo0KGYzhEv9ILL\nrMGbkdCbYQHjmLBMQT2YGg00s2bNCvo9eHyQ3hJmtLusM8R7cDnvvPNgs9mCRDV3vYWKC+Ko44MY\nY3jhhRcUQRbPxJChMBKlRr+J0ULCKP8Zv18ul0txzfj9fjQ3N8NisYAxpol35Mf2+Xyw2WzKdaot\nq5HaG8/fRS02ASi/v1poer1etLS0wNXmXgeCNxaEglsU1S5o/hvKkoTPd20Dzh4FIJCigiOzQCkh\ni0UIcjsqAfuqY3UEAW35zRTrW/C5AMAvMVx6XQk21r4KHtnomVqOC4uK4JMYjpzyaL8w9KfA53WQ\ni641Pq9JM1SoQwckSTKMSzT6jD55Me/P6vx1AIIC+M0kdMzqOkwEEUXYkSNHsHTpUgwaNEjzusVi\nwYoVKzp00unTp2P69OkAgD//+c8YMGBA0GfUuT1SYSkzqrwOpC5WprPoV3np0u5wRGOV1IsedQwE\nn6wdDofGKrJq1SosX748KCllPNoVr8FFbTERBEGzu9PtdmuElb5dajeXPj6Ir6h5gHuiS3wY3Z9Q\ngfl64ex0OjU7GPVWP6ZCr4UAACAASURBVLVo41YkQRBw3333KZ9xOp2KNYkH7PP3du3ahYULF0KS\nJCWZayJX6LxmqdVqVZKt6tHfj4EDB4bsR6FqbhqJVw4T1Lsj22OyBAjwygy5Sj1GdexYwGJlQcfd\nkS0nvWg8cipQGgloSzkBtPqDf4P73vwI950P9Hzw3zjSFhL3xTGGH+V1R+1aF2bvNkiRYc0Bzh1u\neG6LWVUYtKEDoe5zNJ8JFRfMA/jNWJ7ObJbJRBFRhM2ePTvkexdccEGHTnrw4EH06dMHTU1NWLp0\nKd5///0OHSeRqFe8kiRhwYIFsNlspl05ZBuxWCX57iL1TiGjDQoOhyOoxE+sJYuiaVc8BheXKl4E\nAN566y0lrtLVtlNUXXIJgKGbS+2S4giCoLi3wgV4xwO9uApnaTJaSBQVFeGee+5RagcWFRUpIpsf\nt6mpCVVVVYp4eOaZZzB16lTY7fagRLX8b7fbjXvvvVcRpR6PR2NF1VvIOot+krz++us1m0f4/Zo2\nbVpUSZRD9UMuItV9h2MRRfy4YCQ+bdsiKcmB+C8BAAQGn19GjkVQMucD3HrFhRPDd6d9yLVaYBUt\niIXvTvuUMkncDWoFw2mv3/Dz//jHfEhX3ad5bUfDFjxxz83APa8Ff+Hq0DvwDzXvR36v82Jqr9mI\nNKbo5zN1HNnAgQOzQuxwzBZSlJI8YSUlJWhpaYHNZsP8+fPRq1evVDQjLHyw4hMyn9DuuOOOsKtP\nIjlEcgvxBJaLFy9WhBbQbsk02qDA31cHeccqthPprtIHsBvFi9jtdiWQnuf9ysvLQ3l5uWbiVe8a\nVJOTk6NM9Mnq3/oJpKOWJsYY7r//fvh8PlgsFsyfPx+zZs2C2+3GCy+8oFw7jxsDgH379mmOwWuL\nulyuoF2j6rZw97W+3FFHUfcbADh16pRyfovFEhTnY+Rm58cJJ2bVojcvLw8HDhxAt27dsPfbfTjh\n8WPPwWYAgd/AKrZN1EJAaEk8KB/ApwdP4Pze3QG0lzOSBaD5eCsEATj3zK4x/wZym0WNB+aDCfBK\nxqY1qXfwprCt7jrDPh2J5n17gWHmFGHhFnWxiAlH2w5idd47XgYpk40J6RBSlBIRtmnTplScNmZu\nueUWfPzxx9i8ebMSS2JGs202Es4tZFS0Wr89O9QGBfX7HREjiXJXGQ0e+liQvLw83H333YoLDQiI\nMy5MeFA730EFQCM0LrzwQrzwwgsp7d+xuGu5tYpfq3q3oCzLuPvuuwEE3DU33XQT/vnPfwIITECv\nvfYaZs+erXxHn1fL0ZYkk6cHePbZZzUuPXURcaMFQKwrbX2/KSkpwaZNm5S/9XE+eXl5mhg3tRuX\n18Xkbk39Dle16H3xxRexc+dO7N75ISRJxntfbwZu+AsAoOmj7eg9ZlxbqoiAe9AryWBMhMwYjrUG\nrFSBtBWACHQqTYV6ZyQQEGTfe3zGHy6cHPTS8pzRELr0iHlzQP9z82P8RnJwu92axVNra6tSaiza\nnY3qvjht2jQlzx7Qntw6EzB65ozGzEQukjsKZcxXoY6ZmTlzpqZwqsViwaRJk1LdxA4Ry6RgNlNt\nKMJN1kZxL4IgoKioKGjnpP77nY3XSlRAqdHgMWvWLCUWhPdZtfAEELTjc/To0XA4HNixYwdaW1vx\n7rvvKp8dP368Ke55tO5avbVKD9/WDwCvvvqq5r0dO3Yo/zayNIW7j+p6frIsawROR1faRucLFeej\nTtfBc5ip80FJkoRly5YpCw1eyFu/w5VbizWJe//zAXDgC+DMH2Dn1o8wcvRYAALktuh77qJUT918\nMpfbXJMdRVLlIRMg4OAJL+6p2R319/efZsBdL0X+oI7vDh8GhprLEqbfJQtAKTW2fPlyxQoebuOM\nvi9WVlaiS5cunQq3MCOhnjmjMTORMZ0dhURYG+obqd4ZBkBxRS5btgxr1qwxhQkzWmKZFIwe2kTH\nBHUGo8laHdwMQLH88Ilo3bp1mpxfRqZ97s7h78cqTBMRUBpq8ODn4u4p/cqWlyPi1qLt27fjww8/\n1MQaqa286jqEZrf6cmuVXniqkSQJNTU1hrFvQHv8m97SBIS+j/p6fuocYp1ZaavPZ+RGUceh6XOY\nGbmb1P/2eDyYOXOmJqGvy+Uy/l2+/Rjo1R8Xjf5Jm6tRgL/N5ajkDtPtnAzEhbFOiTDGuMgLHOTA\ncU+Eb8SHTz/aicsvGWOqBaja2qqHvyYIghJyYCQm9H2Rp2V5+OGH8d577wEwd2xztPcj1DNnNGaa\ncdclibA21DdSX/pEUO0IMosJM1pimRTUn/V4PEoJDLP4zsOhjwHju34AoLq6OmjFqC/jFKqigL42\nW6p+B6PdgepM1+oBRxRFjBs3TnGjA+1iVJ1RmyOKIv7+978DCAgb7rpV195MFaESlwLBCXr1yUsB\nwGazoXfv3oYizWaz4dprr1XiwKLF4QgUi/f5fEExNfFYaRsthnjhdQCa8Ym7Il0uFyZPnqxJZcGD\n+blgq6+vR319vXJfHQ4H1q9fr4x5Qy4swKgrp2BVS3d8LHQD+g2FXwZsInDSoxJ3TJvJnoFBBoMI\nwTCvVyR8kgy/JCuuTL/EgBDZ8uOO5xS6d++OvXv34s4770z5c85RW1uBQF/lVm1+X7mF2+/3Y9eu\nXUHtNeqLu3bt0li/1TuFO0s8RWwsxoNwC9R0qABDIqwN/Y3kVqC8vDxs375dycKeboGM+smZl3ox\n6oTqzwJQJmyzC0+jGDCgffu+OgcY3ykXqp6aeueQ1xuozZbqGAL14MYDzY0GKP0uw82bNyuDtsVi\nUa5NX6pIlmUl75RayCTrekMN3kaJS3Nzc4NKbdntgQS9Dz/8sGaCAYCxY8fiX//6l+a1MWPGYOTI\nkcpuWY/HgxdeeAHz589X0uJEQp0IVk08Vtr6xdCTTz6pCTjnC0N9bUBRFJGbm6vZmPDll1/iySef\n1Bxf7c4uLS3Fzp07AQA/+OFQ2K+5AV+/+x98vHM/Hqz9BCtvHwMGCzx+GYdOeNDVJuLMLjbF+sXr\nPHr8MrpYLUHZ6qNh575jANrK7sgyJACyxOCPRx2kCAg7VmDUr36DxsbGTj3n8baitbS0aOI3p0+f\njoEDByqLkfr6ekVwy7KMe+65xzChsnpnuMvl0oh0QOuW7wzxDngPZzzQ/9bhnjmzCS4jSIS1Ee5G\nut1uTcmTWEi1iVttLVi8eDGqq6tD7ujSWxa4q8LswpM/sPpdjXl5eXA6nUos36pVq1BdXR2UiBRA\nkCuHl/7QB0g7HI6k3tNYgkvVgeN5eXlKKgKgPYO+kXtDvUrmYk39erKvT30dRolL9RMkt4K2trYG\nHV8vykRRVDLLV1RUaMrC6CeyUFY4l0ubCFbfns4O/HwxxNv2xRdfBH2GMRZUGxCAYv3lPPXUU4aW\nT/V93bFjR8AatmMHzvhBPrrYeivv+aT2IPkHaz/BGbkiXvx1ERhjOHCiFUKb9cvrl5EjGidXjYTE\nGCxtFYpO+2QICLg4G/d8DJ69P1FMuuFX6Nt/AHp2sXXYgpmIHXfqJMqyLKNnz56aMAq+6YQjyzKc\nTmdE675+0VBSUhKX8SwWj0s06I0iPL9jqA0J/D91Qlqziy8OiTAVoQZPl0HepWhusFm2w6onjnAp\nHfiDOHDgQE3cgVHZGzOht/ZNnhzYOTVjxgzFssMz4XOLijoRaVFREYYMGYKPP/5YOeawYcOUnYLq\nAGkgfH6meKLfHRUpuFTf3+677z489dRTIeOhgPZ6gwBw//33K5+9+OKL8dxzzyX8vocbvB0OR9Ck\nYbFYNBNkqELWoZgyZYpyfPVEBwSEKk/WGs4KFw+XYzj4YkhdksqIvLw8FBQUaPp+c3OzJjGt0b3n\nEzYANDY2KmObLEnYseU9dBv9i/bfpC3+i/9Kxz1SoIYkeJFtKIH6frljLkSmHC9g/RIFAXt2NGDB\n//wBuPmpmI8XC7379YcgAPn5+R22YMZbgABaSxgAPPPMM/jRj36kLAaKioo0KWqsVqsmHY/auq+O\nbRZFEVOnTsWpU6dQUlKCgoKCuIxn8X4m1EYRtfAKV8nDLPNtrJAIiwJHW9CrLMshgyCNSMTD2VHC\nPSRGMSjqz4Yre5NMQq3YjB5Yo12CNpsNQGAi/93vfodevXrh6NGjGrHG+eSTT5Q4C7U4T1a9NSMR\nECm4VN/fduzYEXIC56KCW4XuvvtuxWoGAB9++KFhnEm8Cdcv7XY7zj//fHzyySfKa0OGDNG0yeUK\nLmTNNxvo3a4Wi0VJaMt3GIaybIezwhmVveKr9HhsZOH9nFthjTYeMMaUjSbr1q3D3LlzUVtbi2XL\nlkW01suyjAULFmDJkiV47LHH2l3VFgtGjvspPra0Z5yXGdDqk3DbKztU328PzpfB4PHLgbiwNhfl\n96f96JnrxxldIk8v7ekogI+2bcXm9zZhRLEdH31QBykJ7ki197SjFsxEiHI+5/Cdq36/X0lHw3fr\nA4HF5ZQpU9C3b1+lekS4dDyiKKJv374oKipCS0uLUjEiXrVs4+Uh0Ber18drG+Vw5NbwdAihUUMi\nLEp4YH4s7shEr5hjIdxDop+81cWNzWLWjbTKibRLMDc3Fw888IBSlHrevHmorKzEf//3f2u36LfB\nGMOMGTOC4iySdU/VIiBUCoVIgbiFhYVYt26dxhoiCAJ+/etfY/jw4RHv7cKFCzskKmJxb0QavIcO\nHaoRYUOHDg26ZnUhay60/X6/MmDzGKnrr79e+Z6rbfeZGpvNpskTpi9yDUBJR6F2f6jFMp8cot3Q\nECmZZGVlJWpqavD2229rvsd3PJaXl6OkpAQrVqwIa/HkqDcZeTweTcUAxhhWLX0FZ9hLNK8dPOHR\nlA/ihbyBgHg65Q2c1y8FjnvK58dXR07i4v5nRmzPtm++B2PArm31+OOtJfB5fXjDZsNv/1AOsdsZ\nMM6XHx/2Sd3Q5axzkNezK/r2zO3wcRKx485u19aEtFgsmk01/F6LoogxY8bAoYp95QtnfToeHpJS\nVVWlCfCPVxWYeMVfRTIKGO3a5yFD/PcxewiNGhJhOowmEKfTqay2fT4fbrzxRjz66KMRg3gT8XB2\nhlAPiZGlz2wBjaGsivr7pRYi3DXZt29fZUBSm7JramqCLCXqv41cz8m6p3pBpRZgPAaqublZuTZ9\ngCq3CPL4tj59+uDgwYMAgKVLl+Lee+/VtL20tFSTyBEAtm3bhg8++CAm035HXALh+tpDDz2klO+x\n2Wx46KGHgu65y+XSpG+orq5WhMbtt98OILDTs7a2FmvWrEFlZSWampo0rk5BEDB9+nSNyNXvNpQk\nKSjflt5ixsWNugZlLL+V0YKovLxceV3dXlmWsXbtWmWHI0cURfTr1w/ffPON5nwWi0UjamVZxokT\nJ9rbLst4819LIG79FLjuz23XE9xudZoKQQD8TA6krwCDxGJL2BrIDcaw7f334PP6IMsS/H7g42MC\n/DeELpkXD64fcgbkM/tj0Hl5GHx2t07FRsVjvNSfn88vCxcuRJcuXbB58+agBVUk67h+se33+zXW\nXTNWgemIUcClSreSDiE0akiEqYh2Avnmm29w5513AkBUQiwdOkOo3V5mwcgCFWmXIHcP8S38eXl5\nmnqJhYWF2LhxIzweD0RRxIQJEzQWh1Cu52TcU/11uFwuzW+hnpDVqSTUFkF1niG1xcMolmLu3LlB\n1kNuIYzGtM8nkKampri6a+12O5599lnU1NSgpCRgoQlV4Ju3Q20RKCoqQk1NjVIxoLW1VQlq5pYy\nxhhyc3OD3O5GqSuM4tZycnJw+vTpmK/NaGGh7+f83s+bN08pts6vSR0vxvs13xUJQBmjODabLciy\nCEDj9mKMwX/quPKezIL3O3axWpSi3QIAWQ6IMZkxnPJKOCO3fVrx+mXkWC2G13/S4w/EgzGgcOxP\nYc2xwe8DrFYbTvceBhyN+SeNib/fdzMe/sfLGH/exJTHExmdH0BQahLuardYLJgyZQoeeuihsNZx\nNbxvqa22fLw3iwADjIPyI4lj/XfMEkITDSTCVBgNihwj18TChQuj3tKeSDq7u4WvkLgvPZpVfLIx\nWumFis/ibVenrRAEQcm1AwSsGs888wyA9qSH77zzjuacRUVFKf0d1NehTqehj4FS91X+++jzDHF4\nckeeqoQfP5SIiKZ+pr74dDyL3PPYLa/Xi02bNuGWW24JWzIICC7Yrp509CEFZWVlIa0ApaWlWLx4\nseK2VMflcXi/5DuK/X6/xq0ZjlCTTWVlJbZv347m5mbcf//9SkDyH/7wB0ydOhWutngxV1s8nNVq\nxbx585QFB3fVTJ06VbHkceuAnh49euDqq6/GW2+91f67eE4p7wd2LGrHve45ViU4nzHgP0dOomeu\nDXndbe2JXFlAZH168ARG5RvXBv7k4HFF5A0vKsZ/L3gVbzXswcneP8aOo4lfDPr9PnzygRuWn08M\naWlPFqHmHn0pLvW/16xZg2uuuSbqsV/fV30+H/x+P6qqquJWAzUeqMf6o0eP4p577oEsy7DZbCHv\nSyQPRaqzFISDRJgKo0FRb3VQ079//yS3MJh4rODU8S+MMSxevNiU2dL1K71w8VlOp1MjLLjAVKMe\n4Pi1q5k+fXqcryB29INzc3NzUDuNagcWFhZqdldxLr30UmzZsgVVVVWorq7G0KFDg2KjgHZhOmzY\nMDzwwANh+4K6jQD+f/a+PayqMm3/XmvtBajFUORElubUpKKRkEjtLKTRLDvy6dT3Tc7gjCSCmeMp\nZpxyxsY+K6wkz6DoJzON1gzlIaNUCkFB8YBKWmkaY5PRNBSZKbD3Xuv3x+Z5ede71toHQNjzG+/r\n8rpk7XVe7+F5n+d+7qfd4Q07Ui49f6Alg4BWZXlZlnHdddcZ5B4URfHZzp1OJ95//32DV5XnbvGD\nutPpNHBwAnluq/AxT6TmuY26riMnJwcLFy5ktAFekiUuLg41NTWGWqK5ubl49913Td4BmoBVVcVN\nN92E2tpaYzvxtDKxdOhochvb0KH9VRgwOBE9wrwesTnvHAMAvJd5K75pdDNDjMKW+z9rwOBekXAo\nRo+Y1hK6/OBAFd4ueg3nmj2ovPZhSw+Y9P5K6HdONP/QDjgcKmKHOCFLss+xpDMg0ihOnTqFhIQE\nA9+RB4W9AzFQeFD4XjToQo3ITvdxxx13sHHFn4PAzhPY1V5Of7D2E/+HgbRFAG/twHnz5qGkpATV\n1dW2BpiiKCzTqivhy3vnC/TMJNw6YcIE5pp2u90oLCxkv4cqnE4ncnNzMWLECJblBxh13QKFWGcy\nOzs7JLycNDhT+SEALDMK8EpMvP/++wa9qObmZlRVVTEPIEGWZURERLDQnMfjwdGjRw0k3aSkJIwb\nN47x444ePYqpU6f6bAcpKV4FeUmS4HA4kJaWhtmzZ7fZABsxYgTmzJmDESNGsBAynTsmJoY9v7+S\nQYDXQCUR0zFjxhiuNX36dADw2c6JZygaYPw90rFOpzPo56Zj+O/ncrksk0sA78KBns/lcjGtssLC\nQkyePNkQdq2urjaMZ06nEzU1NYZ6uADMRrjW6vnSNMAteFR/c0DHkYN7mRFFmPS3Guial+PVrGn4\n8rumln10S56YpgGH91fhiUcfwqZ1/4ftRX+yfU+6rgGbXwjgjQaGWz/+M+bkvYZ+g4dAkloNYv5d\ndSbo+hMnToSu68jLy8PUqVOxePFiZGZmIjU1FeHh4eybUb+mxSMZKP7Al3Xj+1FXJ45ZQTQW23Oe\ntsyRnYX/eE+YlZVMonh2jZrUqkPBmrZbwflyv1o9c1pamkFZntecCdUakmKoKi4uDgAwd+5cy4zH\nQCBJEiZNmoQXXui4Ab89IEOTPBxvv/02VFVlGX/kLRL5boQBAwbg5MmT7FuOHTsW7733nmlwo+xL\nAKw4NIGy8KzqKwJATU2NgVPUHogDZnV1tcEblJCQgPDwcDQ1NUGWZYMnzIoXwnunSktLmXdQkiSc\nOXPG7wo5GLFc2r8tYQ/RE0KSAgAM30JVVVPpKV3XsX79esN+5NFOSEgwPMvjjz/O9nO5XKitrTXw\nBb0H80aY1lK824gPqiowzHkbPFw7Ov6v75l+mK4DDeddLTIWRjS7NXz81Vlouo7q3TvhJo903Cj7\nFyQrwPFd9r8Hg3+eRHXJZtz38Divx7dlc1fzd51OpyEJrKmpCcXFxXjzzTcBtCbk2JXosoJYni0l\nJQUulwuKoiAjI4NJVYTa2A5YZz6LYX6r/uYrWSsUjc3/eCPM14CalpbGtFcIkiQhIiIiZIh/VrFw\nf+5Xq2fmtY9OnTrFnjuUa0iKz1FYWIi1a9caOECKouD+++8PSD8J8H5ffuIidAWngCe7U1anx+PB\nsGHDsHPnTrjdbuTk5DDCrtWqcfjw4SgoKDDc+4kTJ5CTk8P2UVWVGWB24fft27ejvLzc9P3FiZ28\nMm19V+KACbSu9l0uF6qrq/HEE0/gxRdfNGUrWiUzpKSksEVVTU2NwaA7evSoX10hq77ia+HT1rCH\n2I/p2g0NDViwYAET2lyyZAnmzZtnyHzUNA0NDeYYnsvlMvTd8ePHG9qIoijo27cvmpqacOLEidYD\nOU9YzKURWLDjpOncAxOd0HXdIF0BgHm++P/Lgur9eZcHjS4PdOgYfMswOFQVruZm4K4p9i9I6sCg\njSTD1dyEL4/uRVQYsO+r7rgkPDQlDTZv3syiFRRK5Ct7EOwMFL493n333axvk4EfCt5+O4iZzyJ1\nID8/3xB+p2QGu2StQDyFXYH/eCPMakClFQfgVdimCVySJNx11122HoGugriC82VYAr4LnjqdTuTn\n5xuycEh1OdR4A/QcTU1NkCQJdXV1hoxAmrjo/zzIaCFDjSZ6EsEUy9d0NqdAJLvzoJqQBDLQRFDG\nn9g+oqKiDEYbGZ3Ubnj06NED586ds/3+YshAkiSDFzXYdyUaUsXFxQbDicpp0TUbGxsNKvdkuPzh\nD39gWmGURVZfX2/47nyBcztdIbGNRUdH25KA/fW7QJ5d3P+OO+4waEMVFxebPVc2IMV8+nZ1dXWM\nS0YGHQDs3r3beCD3PadtOoKjX541nZtU7psFI0wnhf2W7sZEXMGH+70GmkcDBsQnIvfPG7Hlb+vw\ntq+HkRVfv1pD81gfJ3kXLT17XeP9M8DTdcZCTFz467rOwmfUJ6wWXFZZ7aWlpYYklmPHjhl+P3Dg\ngG0d4VAgsvPzsJUBlpWVxd4DJekAsO2DFOkJpSQE4KIRZrKSa2pqDGnBFBoAWj0GofLx7ODP/eor\nk4RCfJTuPmPGDCxevDgkXLlWZGg+VPfWW2+ZBie3243Tp0+bzkUT8ZNPPonU1FRDiRix87Zlcu2I\njFW6pqZpJpFGX+BVtGtqakz3kZKSwkJ6mqZh3759jFcnDvDff/89AHveCH8uWZZx//33Y/Pmze0u\nhBwdHW3ohwQxDKPrOlauXInIyEgsXrzYYITT+9qwYQOKi4uxaNEihIeHs2xDf6W56F7GjBmDdevW\nGTxvVggk7GElzmrXTkQDFwBOnz5tWFDccMMNOH78uOk6kiRh2LBhjK+mKIqhnNGMGTOQkZGBefPm\nmdqULLWGEK0MMACYN+m/8WJhEa7qH2/Y7s2Y1JnxpemALLWKuxI0Jn4N3HjzUPQaMBhv/98+y2sB\nwKDBQ9Dr2u7YZruHBfZvAIaONW2Wjm5H9rwFuOLKXgb5jWApHBdiHnA6nZg5cybzVJOXk1+Q3Xbb\nbdi5c6ehbVh5oPkMaU3T8PHHHxuutXfvXiQnJ2Pp0qVdVprNDpWVlUhOTmYeu5UrV2LZsmXIyMgw\nGWCAUU7Iqg+2d4F0IfEfb4QRKIwlprCLPIt/B/hL16V9rGLo1FjJSImKigoJwVm7QbC+vp55gshb\nKRbyTklJQVVVlemcuq7jxRdfxPXXX4+xY8eipKSEEcD5CTRYTkFHZazSNcU2yRNqb7vtNkORalmW\nMXPmTJNBoqoqlixZwrSmSImdNzyrq6uZaC8PK8V+glUYjc/IC8ZopzqQxHcLlJTr8Xjw4osvArAu\nUA608mtE+Qo7XSFRCZ8/D4W9xe8bSJq8qAROEhqk70Xhod/85jcm8VxVVZGeno6amhpDFh0tEgcP\nHowjR46w8jR79uxhi6l7770XmzZtYm1p4cKFSE1NRd++fQ3yO7Isw5mcAn/sK7fbhYN7KvDDGwYb\nthMJ3+sNo1qSEo7UfYcbevZAZITKin5TFqXeUvrIDsP6XoZn7k7Hnt27se2Qnxsj7HoVqPorpPj7\noKsRbPNwuRbjn8rCTUOSsGdXudcLJgGfffYZJk2aFBSFQ1y8tmeM5I+PiooycBcPHjzIru3xeFBe\nXm5IziGQSDFlxhYUFBh+F41tSuqYPHkyHA6HZd3JrjJYCgsLDbxej8eDrKwsnDhxAi+//LJJZHv6\n9Ons/VnRcygZAegY6ZyOxEUjDEa3rS+43e6QsqB9IVCSqb8SEbzXqatgV8iaSJe82j8JTyqKggkT\nJjBitt2krmkaJk+ezMKutI1HIEYtj45YdfHXbGhoMHC4Zs2ahaioKMOqlcJlw4YNs2zPLpcLmZmZ\nbFIPDw/HokWLUF5ebuBfWb0jfx5gsX201WinOnYAWI08EZTVJ04olKZv9wwAsGHDBpYFOmHCBJ8J\nJ/xiRLw+0BryOH/+PHJycvDmm28avHgUGvE1kRcVFbHvpGkaK5O1YcMGw/cGgL59+2L27NnIyMhg\nXgvibhJtgL4hvQMKsUuSxLJK6Xn4ahDjx4/H4cOHcfbsWVRWVqLivXeBAb+0fIcEh0NFv4RbMe4v\n1Ybtut5a0JuKf2vwGlzfnHOhu+oND2othH3SGvP4WOBm3HotyndV4H8z/xuY8jef98XQdBbQNcgF\nj8GT+We2OSl5BNSrLvX2A6551dbWtonCAbR/0SUeP2bMGEMIPj4+3lBDlP6R7iEZbNQnGhsbMXny\n5IC85gAM3nY+wq9COwAAIABJREFUqzgUoh88NE3Diy++aFqQzpo1yxCtoeS6yspKZGVlYc2aNXC5\nXJAkySRwGwq4aITB28GsJunY2Fh88sknLAQSSg2SYLcCC3RlJk4MoVY30lchawJNjIqiYNGiRZYT\nK4WhAPOKkCYsgsvlMg3CwRiiwXrO7EDXrKysxMKFC5m2U2pqKoBWjsj48eNx9OhR7Ny50+AVE8EP\nXuT5Is8QeYLWrl1rEm695ZZbuoQ3ous6kpOTcfnll7NQGi0UqqurWQ08AhVl5yslvPLKKzh69Cjb\nh4z4vLw8RERE2E6YZNyLbSUuLg5paWlYtWoV27Zhwwb8/Oc/x+uvv84yF6lAOn9+sV2ImapkGL3x\nxhum+6mtrTVxFQsLCw2cTd7by39rkg1JSEgwEJlTUlLQ1NSE3r17o3fv3igvL/fev+Tf4z97+Tp0\n7zsInuoPTN9Ma1FrJVV9GRI0Hfjq+yZ83+zBNVERrV4w5jmzv6YMoHxLEdzNzUD+L4GM/2O//fqO\nH+H8BzuQ/00f40EtRH696Xso0OBpUWPSdB1k25MNJsFr5LaVwtHeRRd/fFNTE9atW9f6GC3RiNzc\nXGRlZbH3pCgK7rvvPlbVIT8/33CML4eC1UKGN+TFrOKumANEoWT+PvnqEDNmzMDBgwdNC3TSzBMz\nibds2RIS0lI8Lhph8HawpUuXGlYPiqKwQc+OHNjVEMnb5PkBAo/p8xODoiioqqrCqVOnQuZZeY+E\nVVistLRV7d/tdqO6uhp9+hgHZNGr9NJLL5kyXsVJgJc+IARqdATrOfMHPm3d4/GYskADBf+csiwb\nCPT0vUtKSvDII48Ysu8aGxtN57Jb/bfHK2CVjbxr1y5MnDjRZFw/99xzpm8WFRXFMiEJ1dXVBiOM\n4CsjEvB+wwkTJmDFihWG7YcPHwYAXHPNNaitrWXb//KXvxjuhyYEkadj1S5Ew0j0fBJ4jSOrUKkd\nyIim61EJKMo+I5Ah0uTWTLISIn4cNwQN580yCV9/chiXD05kmZHkCfNoXo/ceZcHx7/6HprWqh12\n3qVhzjsfm85FkGWpNcPy7NdeRf/w7gC817jjngeRv+6g8SBJbqEWqFAUGedbmtT10d0hSRK+OOOd\n3MkQ6927NwvR07sRYbcQs1p0BbNA4Y+nZAoCUSMKCwtNHLBNmzax0CPPy5wxYwZbtFnh2muvRXx8\nvKEuKgDT2NqV47/T6cSiRYswZcoU9hzkxaZ6wFYVMSRJQkNDA37/+99byhSFYjTrohHWAnLz5+Tk\nYPPmzdB1HY8//jhuvvlmpKend3kqr1Wn5ldQHo8HeXl5WLt2bUAxff58fCkL6ph8PcKuhGgkXnfd\ndT5/p9IxYWFh7P75rLmFCxdaciN4SJJkEAEFgg85dFQIt7KyEitXrmR/a5qGsrIyvxMwZcHx+4jP\nScKefBtxOp2YM2eOoe5gRESEKYuKD3ny5YPa4hXgs6D+53/+x2DQeDwerFixAuHh4Yb2eOTIkYAM\n57S0NKxevZppI91///0Gr5ovL6WVVImmacjJycGpU6cM262yb0W9PbHOJQBDeLGhoQFz587F2LFj\nkZycbPJq0oRsFyolREVFGSQrdu3ahcrKSoOiPq+rR+jduzdKSkrw6sZ3sNSPDFXslZdid+03pu1P\n/noK/vDiIgy7zck0w2SQQSYBUouSPvfOjn75HT792r72piJJGP7AT7Fj82twu1yGTMvrLu9uXe/2\n/Bn0j0/C1df1w5ABEj76TsYPPj+AsH+GQe57I866WiboFlLYZ599ZtIcDLT/WvEig12IkEc6MjIS\nCxcuZJSKJUuWwOl0muQVKCTZ1NSE+vp6gwEZFxeHl156ie1LuoKE2tpaU/vtiKSzjvaME98X8Pan\nxMREHDp0CJs3bzZVxCADTNM0vPzyy7aLbF3XceTIkXbfW0fiohHGwel0IikpCZs2bWI8jaqqKubm\n7ypDzM4ASElJMQh0UqcEfMf0rc7Xp08fw8ohVDJI+OzVNWvWYOXKlYYUY/73srIy5vVoamrCtGnT\nkJ6eblgt8bDjF1m9s5ycHBam68x3U1hYaLo/K88Oj759+6JPnz7Ys2cPI/aLIJkCq9qQGRkZOHHi\nBNOnKisrw5133mkwgsTMKzKAgg3FEhnfSpuMBxHinU4nfvOb3+DVV181/E6Gs9VEMGHCBACtnuxA\nJ4v6+npLL6mYbSu2I1mW2VhBnj1/Xreamhr87ne/AwBs3boV2dnZqKioYH1SzODkCzHzUFUV3333\nnWGbrusoLCzEqlWr2Pns6m46nU50v3YgLq0+jeff+wR2qP36nKmwNwA0/3wRavZWYpjTCTDNMAke\nXYejhYRPEha67pWrsDwRB1kCYuMTMX91EQ5WVWBjRA+cdQOrHr4JfS/vjn9+3wRZ16CRltj25cCH\npTjuUHDs0D7s2PwaJEjweNx4XQ3DU8vXY0B8ove9QoIk+eeE+QNvXNvVtLWCGM0gTxhlGpOhbLUg\nALyLLV6S5b333sOgQYMMY4bT6cTp06cNJbvEdnPfffe12wDr6IxKcSy5+eabsW/fPrbwA1rnOQCG\nLHLqj5Qpznv9Xn31VSQnJ3e5Y4XQgQp4/3/ArvCxmGnSmbDyLhDECULTNCQkJPgswcGfj3SWoqOj\nTaV7rDwLXQGn08mMRLvSE2vXrjUZJ1VVVcjMzMT58+dN31RRFEyaNAkPPPCAYfvAgQNNHsD8/HxD\nJyal+lCAlRegtrYWZWVl0DQNDz30ECOs88c4HA4m/GnVRqKijEWXxXdOmluAsXwQGcX8efkSWSJK\nS0sDVv8mXSMrzhSFIaicUHJyMgYOHIjhw4czw53gdAZWXiglJcX07mg7lZBxOBx49NFHTbptgNfo\no7JJ/gzSoqIiw99vvPEGZsyYAVVVWbkpPoNz/PjxyMjIwKhRo1gbcDgcuO+++yzbOn9ftM3X/Thk\n3+pZPy3cj0a3NfG7e+RlrDA3AEMWpFcfzBue1GCWrrCCIkuQZAmxCUPx8GNP4OlR/fHQoCvxo8u7\noe67RsiQMGsgd8CHpZAVGZrHA03zwO1yweVqhubxwOVqxtH9lVAVr1I+PSWFYqk8WHvGPjIefH13\n6hM5OTlobGw0lKsijurGjRtZWSzKaubhcDgwffp0vPzyy4YSVocOGVNIv/rqKzz55JOGbeK4cfr0\n6XaVqPM1R7UV4liSkJBgWPjRPDdx4kSmawm0tnfA+5z9+vUznVvsb12Ji54wAXar3+rqatZIO5uw\naOddKC0tNXlJaEL0FQ7jBxgqb0LH8kKnIhG4K0Eihbqum3gXp06dsvWkWIUaFUVhcgCVlZV4++23\nGel91apVpucVDfAf//jHnfZO0tLSfJYpueOOO1BeXm7p7XK73UhKSkJ2djYKCwtRV1eHLVu2MK0o\nX9+W3je1L3EyIUOE5xJmZWWZxGH9rZDJ0PHnCQPA9MzGjBljWNUD3u/80ksvGVbDH374Ifu9rd6N\n0tJSTJs2jXnDZVk2yLZER0fj8ccfN73/urq6oLiBY8eOxdatW9nfJ06cQG5uLiNf8148ep98aSPA\nOzHFxMQY3ieFtOLi4rB27Vo0NjZCkiRMnz7dxAkDvN9r3aZ30Ng3ye/7afJYh0P/9Mp8xMcNwoD4\noV4ifIskBXm/eFK+iyPK20GhmqmSt//2vqw7+l7eg4WgJElCD4cE6ctPoF/5Y0iyhEFDbkfN7h3e\nE+g6FIcKXdfgcKi4caiTGZlyy7mJE0bh2vaMff6+u538CUkoUF/na0Lu2LHDcI7Y2FgMHz4cZ86c\n8Vui7ZNPPkFcXBzy8vJQUFCAXr16YfTo0Zg6dSrzKO3btw8pKSmMVxzscwfrAfcH3ltNPM9SLstd\nkiQUFRUhLi4Offr0MbzHq6++mvE1iQMmYuxYs35cV+GiEdYCPr3calLgCdGBuFw7Mj5u16lTUlJM\nKxpVVZmBYpVQQGKsIskT8GYQ8mnQoRKSpPIUpIB+9913o6amhnE4FEWBw+Fg6fjDhg3Drl27TAZq\namoqkpKSDO+QJiJf36pXr16Gv/v373/hHlaA0+nEjh07UFhYiN27d+PgQSMB+fLLL4fD4bA00sLC\nwphcAmU7Ed/RF0GV2giFLK3SuvkwsMgl5En0/jhi9P4LCwtx4MAB7N271+SR7d69u0G1f9CgQRg3\nbpyBO8an6Fsh0LqqVu+fisSLsi2At06p1XU3btyI/Px8ZGRkGK5hd20KjSxYsAAnTpxg/W/jxo0G\nL1ipHzkdymyz6vu8kbF48WKWZUvgtbJwdSzw0/k+3828rWaRWABwazoO7NmF/vFDoemAJHn5YPRV\nPboOj67B5dHh4coc2eGL7xpxdVQ3yJIESdKhSBJcHg2ff9sIhyLjk8P7UPjiH6CfPAnE9ANcjfig\nqtxwjuEPPoIrrroaAxNvw4D4oZBbjLAwh8RqY/Kag+0d+3wtgu04fYMGDUJNTQ37m3iF4iJMURSc\nPHkSx44ds+bDCXC5XJg2bRpyc3OxZ88etj0uLs4kUk284vZUumjvnGe3cIuOjmZcV13XsX37dpSW\nluLee+81LBhFvluvXr3QrVs3tgCZNWtWyIQigYtGGADzR1+8eDEKCgoMKd/k4gwk1m+XtdiehmnX\nqcUJ61e/+hVqamoMmZ48yZ4GAFHQlB+8idzuL2TRGaDahHwx4w0bNhiEJwFveaktW7bA4/Fg7969\nmDlzpiELUlVVW30YfyT67OxsbNmyhXnLOjPFmSbtyMhIkwGmKApiYmIMyu8PPfQQS1sXBUl5DTgS\n+rQqW8JPErIs49y5c5b3Ru2JX4mLtUatdOeszmPl5SGdK1LtJy8mncOKz2eF1NRU9u3b0jetJhje\nm2HHucvKygqq/FVcXBxGjhyJv//97yZvCI01dnQJwKsf5yuzzZ+RwfOi8N3Xft+rnSdMVsMwqKW2\npEfTochE+/IaY5qmo9GlQZYleDwaPmswZ9/y0IEWA0wCHyWVJAnHD+3HHyc97JWvAIBP9wGSDF03\n3tu1/W/EyJ/+vOU88GZbtpDy6et1tDfHDnQdUQrm0KFDhnF55MiRuO6665CXl2fYr3///vj4449t\ntfSsUFVVZeJ1Op1OzJ0716RB1h5tw45YsBcWFhpquhYWFjJOMP/M1I43btxoeg+kHRkWFobs7Gxk\nZ2d3egQrUFw0wmCtlUWrX0r75V36/lKR+fPxWYsdXf6htLTUJFxXV1dnEuoTxU35idhqEiooKDCp\ntHcVSkvNpVsAGAwPh8PBjBHqmGfOnMGwYcNYqM5KYTpQkDeqszqxmM0pat0QZs6cidTUVEOb5A1N\nkSBMGnB2SQ4EaiPkcbEr3k37kkAuge43WN053tipqqoypdCTt6umpsZ0jzxUVcX06dNx8OBBjB07\n1rDqbWvfFCcYfx4pwNtG+cnMl1eQvL2iR1PUxePrX8qyjAcffBDnzp0zPafVuGRlZPA6TLxWluRu\nhO8glz1uvTsV18cNgUf3FviOcMhMRV+DNzPSrelQZQnbjv8Lq/acsj1XXBQQ2c0BRZLwYfVeHNiz\nC/3ib0HfG2+GLAMfHaiERyxlBR2yokBrGQMlScLfP/4Am9YsxaAhTsQNGerdDslQN5K8nr5kKuwQ\nrHeV9yKTh18MTc6dOxeAt23w/f+KK67Ap59+aql7KFYMEbUBrTzRubm5hjnDro5qZ6CyshKrV682\neLhFPUDiYtI4I85Vqqra6kVSaDKUDLGLRhjsV0C8kCV9NLHOJO9p4LMWw8LCDKsLu2yk9t436cNQ\nhhYVG+chy7KBB2b1XARek8rlcpnUwDt7JSE+o5XsgsvlQmRkpMG4FPWmrARYg0Ewq7z2vCs7vogV\nzpw5YxjQARhqRVq1a957ReKQc+fONekDlZSU+Kynyb+X+++/32AwEU+nLRUXaL85c+ZY/u7xeDBl\nyhTs2LGD3SPPpQK8oq0vvPCC5fFWfbMtK3/RI2XFIyVqgHhtcZwRvb0icnNzDYYUcfFEo5tg53Gz\n8ujRpAS0SlQUFhbiy7ONeFO4j0cGX4XXD33h990k/uQ+aJqO8y6tJewIrzdMlb3yEi2K+rqmo/Zr\nay8roVfNX7H5nxWI6XkFVjz3NFzNLjhUFb9bsR4DBidi0NDboKhqqycMAHQd/eMTcezQ/pZKGg7s\n2PgaNM0DxaHi2dV/Q3ziLQjv1gMRYQq69QjDJREOFoa3kqmw6tM8hcVqHvAF+h5EE6Bz8It+OseD\nDz5o6F8DBw7E888/z47j2w7xZnluJEGcBwi8HI9dHdWOgr+xsVTgOVtltJM22vLlyw3eQ/7+aUFC\nCRBt+UadhYtGGFpXA0RaFI0rPiuppqYGBQUFLI3Yyr1Pg11OTg7rPHwaf0di/PjxqKurw+nTp7Fv\n3z5LIrqmaZg2bRoAWD4X3zFEbN68Gfn5+Zg6dSo7rjP1w8SJg7SOeI8BlbN48MEHERMTg7q6OpMX\npSNDq4EU+rWqBxgI+FBgMODFW3m1djsuoT9PFx+q8BeeofAnQdM0OBwOg/EQDKxkOXgjh5TlZ8+e\njblz5+K9994zTEJiZicP3mjlNbyCbRtithp5W3/2s5/h+PHj6NWrly2Pzspz7ut785NkINwbXx63\nQAxi0lXD9DGG7VUr/wgkTfR5LAAMdybBrenwUCabDjR5SLgVHDcMhtJBVnhv42vwuD2QZO84pmsa\n3G7gw/2ViI0fitj4RGT89n+x7I/G7L/e1/XDhBlzULO3Ah8dPoCq994BALhdzSjd/FfEJ96Ca/rf\niEvDHehzWTdcFRlhKy1hZdQCsAydB7vYFr8HeeEoaai0tBSjR482JA+JyS/V1dWszqiV8UWgeYCM\nS+IN19XVGeoqinVUOwqByFikCLJLIh566CFkZ2djw4YNBnoG0YXCwsKQkJBgMrza840uNLrECFu4\ncCFWrVrFMrTWrFmDiIgI/wdeIFRWVuKJJ55g7t2NGzcCMPMxxBUrlVCw0lpyOo2aY3waf0fdM+8x\n4Qu+8p2Q/t/Y2IgFCxYwDwA1RMAoLJibm2twjWuahueee46FLXi9ps4CP+A4nU6UlZWZdKI0TWMk\n5rvvvtvwmyRJhpVlWxDoqpcPU/H1AAO9tuip8QXSDhINN35RYCXFEKinK5AJH7AuMaLretDtnd6x\nlQ7aHXfcgV27drEakdTXnE5vtQs+cYMWO3bGsuiF6CjvrqZpuPTSS5Gbm8t4LHQ98do8UloyRMUS\nLYDZm2Z3DvF8beU28fU7RdQe/xDwnzTpFWPVdUa416BD1khglGpL6vj063PYfuxfPs/ldrm9/C7d\nywfUJQkOVcXAIbdBlrwaS2e//Rpea65FI0pRcOeDD2NQQiIGJSQi9w+CPEOL5RfukCFLYDIZdu/N\nyqgFWvnB/Jjb1sU2haNJSBcwLpgXL15sGV6jjH26b19jBj+f0fPSt1ZVFRMnTkRCQgL7vaPHeF+L\nAx52BpgkSXj33XeRnZ2Nv/zlL4bfLrvsMlx33XVobm7G5MmT2aKIxuGO+EYXCp1uhH3++edYtGgR\njh49im7duuGRRx7B+vXr8ctf/rKzb4WhVNAq4gXfxM4oxu2XLFliWwSYD6XZuYKDAT+piBMvNbr+\n/fvj2LFjphWRrusmsT7KnOOVz6urqxmpkY7jy7MA/sVCLyTy8/NNBhiBBpmYmBjGGQC830lUBw8G\nImGc936KZWlSUox1SPlCyYGAN5C2bdvGDOvLLrsMX39tJEuTkSN6tqzqa1pdJ1BP16lTpywNCv5c\nixYtMvBKdF0Pqr3z79gKvXv3Zu1SnGjI08jLCwDwG35oD5E4LS2NeR945OfnGzgsBQUFSE9P90n+\nr6mpsQ1FtiU0FKjxbIW6urqgrmWF7DcP4A/3DWYyEJqkQ28hwLdyeIA5xR/7PRcj2Os6/id9Mrpf\nEonr4pPwo0E3s7D3pZddDl7x9YG0SYiNT2TG1p0PPuz1qLm8ocwRqY+0kPy9/3qEeb0odu/NzjgT\nSw3RGGwnGmwHcXHf1NSEgoICAzm9vr7eUJQaMCbeBELQJ/4szR/8nEfXvpAhu0AWB2I4kgdP1P/i\nC2NY/JtvvjEk0gFgCzZqJ/SNAKC4uDhkMiS7xBPmdrtx/vx5qKqKc+fOmSQAOhu0EuUnAMpO4bky\nolG1ZMkSnx+SwpwdoT0junKfeOIJNtlT53c4HDh58iT7W+RP8SCF8YaGBoMH5ejRo35DYV999VXQ\n999R8CWyx2d6AmCTpMfjMfGeggFvqNJARpl6VmVpli5diqysLLa/XRaiHchAooFSVVU89thjhnqC\nojeI162yEna0u44/PSN+teyrlFV9fb2JyzF16tSA2zu/SraaUPbs2cMGUSvDVsz8KyoqCmjV3VY4\nnU6sWLHCUN4JMHNYXC4XVqxYgVWrVlmGpvPz85GZmWnpwaDQU1vvr8O91Z7ARHU//U5HyfGvcHf/\nngAkaF5HFhNwPdvkxuffNsKl+fb08pBlGZdGRmJc5jTUf9+MRrfm9YRJwNmGbyDJMnRNgyTL6HFJ\nJMuCBIDYwYn4fd5f8XH1bsQNdWJgi1q+LAFxV0UizNGatCO+NwrZ3X333Qa9NgCGerTUNzVNY6LB\ngRozouGhaRr279/P2gQZTmJ/5EuTiREQRVEwc+ZMlJaWsrJjfIKPOOfxZYCswrEd4TEOZHFgNRfL\nsswyoSlsyiMqKgrffvut5TWnT5+OM2fOoK6uDps3b2bvecOGDUxCpqvR9pSxNuLqq6/GrFmz0KdP\nH1x11VX4wQ9+gFGjRnX2bRhABNXU1FQoisIUqsVJmxrRs88+i7KysoA+oFVaeFvAT1JNTU0sa06S\nJIwbNw7PPvssJkyYALfbza53++23s5WACIfDgejoaLz88suG7Tt37oTD4WDZhFbHdqZOFo/8/Hx8\n9tlntr/HxsayAS8tLQ0RERHMUN2+fTtTnw4WPAlb13VMnz4d8+bNY++bJ7jT+XlPWF5eXpuuTQMr\nrVjz8vKQlJSE1NRU7Nixw9Q2Z8+ezTJ4V65cGdA16Tg7bhG/WvbVfvlahYHsL4JWyYqiGBSvCWPG\njPGpQs4fHxYWhrFjxwasVt9WxMXFWd6rFdxuN6ZMmWL4HuTVEA2wvn37Wn7jzoDI7yMkfl+DH3YL\nfLogb5eu6zh2aB/eKFiMI9V7oWmAS9OR/daH/k/CQVYUDLn1du94JLVIVsDbRwYn3QY1LAyyokBV\nw3BjkjdUqcitYq4D4hMx9rEnEBs/tPVYtBpqIujbDB8+HCtWrMCGDRuYqDWB+k5UVJShesTBgwct\nw5d2SGnJMOZBxgJPlBf7I5XlseozdPyePXtwzz33sMU6v4ApLS1FZmYmMjMz8f7771tWeKDF/5w5\nc9o8flq9M7t2zd9XcnIyMzR5ClBCQgKrbgB4xx67MOyZM2ewdu1abN682bRAChXV/E73hH3zzTfY\nuHEjPv30U0RFReHhhx/Gn//8Z/z85z837EdufaBzPC9Op9OQBUihOvqN3y+YgbE9/Ay780iSZNAR\nev3115mi8urVq5nHYM+ePViyZAmKi4sNWZOSJOG+++5DdXW1qWFqmobRo0cjJiYGR48eRWNjI264\n4QasW7eOuXc7UyeLkJ+fb/I6iEhOTjZwxwLN8PMHXhZAkiScOXMGL7zwAiorKw2EeCK49+3b13C8\nFbfQ12qQsrSII6TrOnJycpCXl2cQW7RCoLyLQCCWsvKV3CBqmAHWNThFiIXkqe9NmzbNIK74wgsv\nIDU11fa9Wa2yqTB2R3G+RIiTa9++ffHFF1/YcnPcbrfBIyvSGwjx8fFISgqAfHUBYFej8PDaeUib\n+QzWLkmHK91/CbfPGhoxfv1B3NJTxoG5P4Or2YU3VuXi+dV/w5X9Bwd2MytavYCax+PV95K8Cvqy\npLO/ByYMRcZv56H83beQ+JPRGDA40euxlr2LGN0hw+XRIAHMOHPIvg2wESNGmHiZdv2JIiQ0xo8d\nOzagMD+BvOdW4xsZHXQd3ksUHh7OpBhOnTplCo/n5OTg+uuvt52DrOYysQ8FUwezveDHguXLl+O5\n557Drl27TILMJCG1YMECU+UMEXV1dbYe9lBRze90I2z79u340Y9+hJ49ewLwrnArKipMRlhGRgbz\nNCUmJnbqPZ46dQrPPPOMKczEI1AXbXv4GeJ5SMOmZ8+eBl4UrW6io6Pxwx/+EP/4xz8AeAf96upq\nvPXWWyZ+2KZNm+BwOGwJwatXr2ad/dChQ1i+fLkt980OHSlr4W/VYhW6CYb35AspLRk7NLkWFBSw\nsISVoWflPRRXlnahCl8FrYuKivx6XzvK6AdgItb7Iv2KZXeSk5Px/PPP+/zuVu+CSpRYGVD+FkDi\n7xckJMeBf9eKouCee+5BZGQkFi5caFnBQNd1bN26FSUlJXjggQcwevRokz4UAGzatAmbNm1iGa6d\n6Q2zS6ZobmpC7Ucf4A+LC/C02d42YcdJL3+x8p8a8NhaYMl/w+0Cqvfswt39bvJ5rFS+FvqHpcC5\nVu+qpus4sHsXbrw5Caoio1nzlkOSJQnHDu3DyufnwNXswocH9uDHAwZi8JAkyJIERZEAaECL90uW\nJaiKBIcs47OPa4Avu0Fp4a4lJiaisrISjz32mElIFfBGD6yoBSIdgIwEf+MlX9UkISHBsi2IdVlL\nS0ttK6HwYzahoKAAubm5LIue93Ty43NNTQ3LzCTuGWUYdoaArdVYQP2Lp4JIkoQjR47g9ddfN/Eo\nZVlGYmIiq7ohyzJiYmIM9//EE09Y6gd2JTrdCOvTpw92796Nc+fOoVu3bigpKel0I8sK1CHWrFlj\nWMlaWf/Bqm53xGTAa9iIUBQFDQ0N+N3vfse2ETkbMPNUaJvb7UZiYiJ69erFagqqqoqYmBjDJNLU\n1ISioqKgOFWBpCMHA3GSF5Geng7AK1AqTtztNYKdTifuvfdeJnvhcrlYhqiVoffrX/+ayWgoioKJ\nEyey9uHcfUOwAAAgAElEQVRvZSmGHHjEx8cHdK8dVT5EJNbrum67Eo6Li4OqqozD5s8AA8xeOz6j\nMC0tjRlkoQp617z4LSVuiBAlNjZs2IDi4mIMGDDAlOhCx3dFKj0tOEyJArqOkjdfxd8/rgFG/dF8\n4JYXgftmWZ80rBtkRYHDoWLAzbfinY98RDbK10Lfa15wqWoY7r1rBCQJUBUJsguQWmpJ1uythKvZ\nBU3zwO0GjuytRGLSrd7fIUGRZVZ3Um6RaJUloPn89zjr8DAjrLKyEsnJyaZnj4+PR9++fVFcXGwr\ncAwEtngn2PG7zM9tzI61m0vIQHv00UcNiVQRERGGLHpZlrF27Vrk5uYa5hMKX27duhUnTpzA4sWL\nDRnzwS7Ag4XVWNCnTx927SNHjmDdunVwu92mxCy+gH16ejpqamrY3AygU+6/Peh0I+yWW27BT3/6\nU9x8881wOBxISEjocovUzv1sJT0BdJ4ivt01eVCBXtFT1KNHD4wYMQIJCQmGmpC8lIWmadi7dy8U\nRcGMGTMQFRXFnlVcVdmppvPhW76hd2RYDPBO8snJydi5c6dpklMUBQkJCbZGX0cYwSJXhs8iCyYU\n5s9TRfwQq2w5X/pXPDrKAyQWs5ckyXYlzIfW3G53QDImoieJr5HnKwkglEBtnbiBsixbllCxyvhq\nbm5Gv379bLONu6JsmNNpFt8l6JqG4x8cBAQK78R+Mg4ciMB+H+f9aeZM3Jg4DDfclIin/uRjT6mV\ndyYrChLuGImrYmKQ+sjPMPyOYfjon9/BIcstnC7AIQM33zoMhWEqXC6wAt2q0pr9KEs6ZHiNNofS\nUrZIktBNVQxlkOg7ijh48CD69u3LvrE4nlnNH/7GPHGxRfwuUf0+mOxYp9OJv/zlLxg+fDhbDA0c\nOJBJuwCt8jV84oqIN954wzB283Vg6TodDTL+yVDkE55yc3Px2muvWS5uiMNNSQfV1dXIzc1FcXEx\n07jsCo9yMOiS7MhnnnkGzzzzTFdc2hKlLdlvogFGwnBWHIBAVbftCmkHC/GahP79+zP5Bd5T9N13\n37HVNvEGyFCKjo5GUVERk0Bwu91YuHChgQhM9TPPnj2Ljz76iElY8JwWUauMFwnlO1V7y2DwGjpE\nxuTLFi1btgz19fUXlLsgcmW2bNliCEvwhg//zUX481T5mgQ7W9tGNAh9lX6ifYmPyIds7cC/C+K0\nEC40/6SjUFlZiVOnThnELocOHYqysjK2T1xcnCVnTtd1jB49GqNHj7akGUyfPr1rn3/dk8DPFvjd\n7ZtjBxEV/UOf+zzwyylwKLLfYt1oaWOSLGPCb+fjzjGP4urICHQPU9BdVdCzRzg+c51noSlVkRE3\nJAkL//Qm9uwqR7+EWxAbPxQRDgWarjNvGZWKdMhSCy8MuKx7mOHSKSkplpUPAODjjz82LZ6onx84\ncMA0Lsuy7HPME/ldqqrihhtuMBjksiwHnR3rdBpLrAFgNReB1vqrxFuz0iMcM2aMwRMWHR3doVEN\nO/A6XmRUURTGLmN/2LBhjDfmcrmQl5cHVVWZgwToGo9yMLiomA9vhxDj8bquY8uWLZYkdD4Mwa/e\nxUlSdDkXFBS0OePJ7ppHjx7FsGHDEBsbi3HjxmHPnj0GsiKvMcMjLi7OoDTOey9EYjhBVFcnb5eV\nSGhKSgozUN1uN2pqaoJ6bt7DxutPWXEmyAi1KwnTEaE50SvkdrtNq2G6X17418qj489TZZehFqj0\nREeCH6B9aZ5ZhWynTZvmVzWf3oXIabmQ/JOOQmVlJe688040NzfD4XCwsHNhYaHBCLPL6CW+D2W1\nzp07l7Uxf8r/FwqVlZV4++23vX984V/HCwCK1uZBOfMl8MQjtvv8Yt1B/OnReDh8GPIAgC9PAPC2\nu9eW5WBn8RuY+dQzuDnpFsiyhN5R3fCPb8+3hBeBMEWGR9Nx05ChcHk0VFXsRJgi48rbh7V4wdBC\nyPcabd1UBR5NR/+el2L/CfPlHQ6HJR2gf//+KCgoMBg3dtxNwNtX/GnrEb+rrq4OxcXF+PBDY8Zo\noMW5rc7Nj0siH5hE0mk+4Uu8SZKE66+/3rBQ7OioBg8aN0+dOsUML1GuIz4+3tJglCQJl19+uUFh\nn4wxcb/o6GjGcQu10GSnS1SEIpxOJ2bMmGHaTvUGReTn52Pu3LmIjIxk2zweD6ZOnWpI4RVdzsQl\nas99Ll++nPGfCLqu4+jRo3j11Vdxyy23MC4YYD+Z0TNTR9d1HWvWrGGdgld95w0f0dDiU4V5kVDe\ntU/1/vylN1Na+H/913/hzjvvxJw5c0zFyEXwPKWSkhLMmzePrdTIU/f0008jOTmZZdu2BeTp4a/b\n0NDA7pm/X35gpgoDwSAtLc1SD6cjhDSDQWlpqWkAr6qqYt+RyLv0t2g8VlVVBZzW7nQ6sXjxYibB\n8e8QiiwsLGQedOrnTqfTMC4A1mR3qoEXHR3NpBC2bt3KDLDw8PAuMUJNnMRTh/0eo7tdcLv9a4h5\nPBr+9b05CYjhtdnAp/taTqrju2/q8dGBPZj08H04vN8rxNnK82rhd7WEFj84sA/ZvxyLdUty8NRj\nD+ODA1XsN1mSoMoyIhwyM94ujTD3Lz6kzkOWZdNi3Bd3E/COk4FI0/Tp0wcALDNqadHTHliFWPk6\numlpaaY+npmZicLCQmao0Djf0XIvvPzFqlWrbN99VFQUSkpKMGDAAMNvuq6bpCdkWYaqqlBV1bDv\n1KlT8dRTT2HSpEl46qmnOkRuo6Nw0RMGb2NYvHixabtVyRBeKkEkiovhOvKw+TIi2gJxkOexbt06\nLF++nHlNKCQkcreio6NNz8wbib5WYcRVscoK4lcYwSjH22UF+lsN8pOV6GESjclgSwjxcDqdeOyx\nx7BixQq2bcGCBUyvzVfm4Jo1a4IKRW/YsMGSm1JcXByU6Gt7kdKSes+H3Tds2IBNmzZh1qxZhpBF\nSUkJ0tLSDF5aILBQAIV1CgoKGA+kK2RQOgpWoUcRkiRh6NChrCYr334SExPbXHezvTCF5Ip+b+Bp\nWUJCa+0fHzjv1vDEm0fsdzjzT8vNmubBW39bj18+NKolDOn1gKlKCzdMAg7u2dlKzncBB3bvwuDE\nJAyKuRSHTp9B9zCFKfjLNmMKUSjE8XrWLG/CgVjeTRQVFeGPpsJTOazQEQaPVZSH5xqKCy26b5Hn\n3FHJPjx4D5vVOC8uRo4dO2bax+PxsGeTZRkjR47E2LFjUVBQwLIk+dAkPV8ohSgvesLQOlnzSE5O\ntgwd+pNK4EVBnU4nli1bBkVRTGru7YG/Qb6+vh7Lly/H8uXL4XQ6kZ+fj+HDh7OVwNNPP43HH3/c\nxIPTNA2rVq3CypUrfZ6fP8bp9IrvZWRkGET4nE6v9o2qqgGt7K1WlpIkQVVVW0HMyMhIn/wEGoAI\n7V1Zfvfdd4a/rVzfVqDQZSCorKzEiy++2O7zdARo8L3rrrsM2zVNw4IFC9DU1GQKUYheWrs6beRF\ny8/Px4gRI5CXl8feZVu8h10BErcU+3Yg+kOapqGsrMzUBwHg5ptv7rLJwel0MqMDAKBrgGZdUolw\n1dXXBnTurKIPfO+gWxsjImRJQrhD5owqYMitt0MNU1sEW1XcfOsw9O95KSJUhemJkYq+r3Wd+C3I\nEyOG5Orr61HKCXyLcDgcPj1HIpVDRFJSUod4g/lxmKp98HV0iZsmQqwzSeO8mJSVlZWFrKysNnmV\neA+baIRRxRoa3+28lID3GymKgvDwcIwdOxbTpk3Dvn37fI7LXZH0YoeLnjCYVwuyLOOee+6x7ABW\nUgkkrLhv3z6TKChlfpIGS0cMrvHx8bZyDZIkGUJGYswfgKGoqQjywPjyQIl8KDsE8+xWRNX77ruP\nicbyHBtCZmamX74RFXf2eDztCvFUVlZi3bp1tr87HA7cf//9KC4uhtvtZgMLeXYCva7VylRVVWia\n1iU8KafTadnmKWwmTjRpaWlYtWqVoR2J4TirWpziM3d26LUtoMmBPME0YWVkZODVV1+1bLO+QIuO\njliotQcvvPACzja5seyVl/3vDKDu8xbO2/ZlwMjJbb+wjRHmUFU8kTGB/U1ke740UdyQJLzy5w2o\nqihHovN2DE5MYiFHkqegUKYE68nZbiEYHR2NuLg4E+fU6WwV+OZrvcqyjMceewx9+vQxtAu6RkpK\nCqM3iF43WrC21xMqRj7sahxTG37ssccMSQG8MoAVrzaYkmZ2oEVeTk6OZSJSfHw8O58oHE1QFIUl\nZvH8NdFgo0QOXdeZokAoeMGAi0YYgOAm67i4OJN7NyUlBWfOnMGhQ4cMk25lZSVycnKwefNm6LqO\n8vLyNofDCHahU/L4kAbR5s2bDQKjVrDbTpOBqMxP+wdqDPDaZv6enSeqAmCil3ahvuTkZLzwwgt+\n7yEjI6NDlNN9rcQA7zvLzs5mmW5jx45t03VTUlIQERFhUIv3pRTfGbAT8HzggQeQlJRkuC/iGlIt\nPatC3rxXgQw58d3aJSeEGui5xVDV7t27gzqPJEm466672lzftKNxxeWXBbyvTkbN4XfaaYSZ+3nS\nT+7BM0/NxvA7bmfbSPmeDLCrIiNw+ttGxN08FAMTEhGmyIYEgOuje+Cjf55l+/+gm9nzA1hP9FTz\nt6SkhIll8wvK/Px8FBUVIT4+Hjt27EBzc7PBkOb1JPlFWUlJCSZMmGBQuY+NjcXw4cPblEXPG0p0\nXausdbskgVWrVjFpC1IG6NevH6ZNm8Yqq/CZkaLBSt7rYO/b6XTi3Llzpu1UJeT6669HRkaGKTEK\n8M55y5YtM0lcicYtb9iGGikfuGiEMQQ6WVtNxi+99BIAGIQ5AXP2TEfEoa1Cpw6HA7fddpth5U2x\ncjFLxJeLloyvCRMmICEhAdXV1di9ezcOHz7MVhAPPPCApWwHYM5ELCwsZHyiQLJq+Ew5K9FEgizL\neP75523PY3fe9oD4Inb35HK58Nvf/pYVyn3vvfewdOlStjqj+wjkXkWeHYAuFS61k8bo168foqOj\nMXfuXKZAXVlZiYMHDxqy/Orr6w1tg8IQTU1NkGUZjzzyCNavX88GzlDwBgUDMVRVVFRkmAQuueQS\nnD171nQc3x/DwsJCxgADgKtjzJITyaPuRUyf6/D68jQgqyVc/FmNLZcrWEiybPJRffNPs0e0tW4k\noEgyoiJU1J1pgixxBiGHy7qHsUxJRZbQr+cllte3mugBoLGxETk5OXj33XcNC8qamhoDP5iOpW/P\ntwu+9ixxh3v27Gm43kcffYTa2tqg274ojH333XcbMgmDLdlGhHfRS8efQ4xcAMFzXwm+hLipSoh4\nPfKA0ZjDzzu8cUs8sVDqWyIuGmEcApmsrdzIvLHTp08fOJ1eZXTRtW3lFQgU1NAaGhoMRmBqaipG\njx6NyZPNK1BJkpin4d5778WWLVt8ZvTQShyApXitruss9Coq04sDQW5uLlavXs2O96ebw8Of12nW\nrFmd3qHIW+orW5M3gt1uNyZNmgRZlqHrOiIiIgLS1+HDCORFvJDaPIHAThpjwYIF7PvyStvEc6L2\n19DQYNIZeuKJJ7BgwQK43W6sX7/eIAibnp5+wZ+1I0tqkVFpVTsQgF8DDABGjx4dUpMEXy8VkoSR\nY36OZ196BWeb3Pj222/xLu3416c67JqSrplMqOMfHMSY++8xtP8hvaOw5+/feHleMtAj3IGBMZfi\n8OkzgC4ZBFh5OGQZvaO62V6fvNBiySJd17Fx40b2fzJGxBAaL1+Tk5PDylLpug6Hw8EiC5qmWRod\nuq6jsbEx6IU6b+w1NTWxyAuBz1r3dQ5+gWk1xonnmDBhAsrKyvDhhx8yKaK2OBkyMjJw4sQJvPrq\nq/j8888Nv1F5QzFSQsYeryFJ3r60tDSsXbuW9cdQNsCAi0ZY0HA6nZg5cyabgBRFYR4SvpE2NDSY\njtV1HVOnTg06JMnrEYlcrdOnT6O4uNiy0yiKwnhVgFHg9NprrzWUt1AUBddddx2A1k5tlTVTVVVl\nWZrDyhvAd2pfRpWIlJasPKv6bampqQGFIS8EMjIyUF1dbciQ9Ad67vPnz/t111txpdpTePxCQ2wf\npLTN8w09Hg9efPFFg6gx8RT5Mj586ZEL7QXr6JJaVtljcXFxKCwsNAjQ8vCXzNHV8BqW4Wh2NcPh\nUDH8gZ8C8Hqfro+9CTDblVAcDrQ5D/yvT0P73jxmAtbCvbIEXNYtjBlV3TgCviSBkfb5/XteEobo\nHkaBVh6+OEr8IkGSJDQ0NJgSdXhs3LiRjcuyLGPx4sVMC47qzFqhLQt1fhHAl82isKJIGbA7B+9p\nEhcJqampLAIilu0LCwsLmvvKgyg2jY2Npt+++uorU2FvQn5+PrKyskxlvmbPnn1BsjkvFC5mRwaJ\nyspK5ObmGjw8ixYtMuhT5efnIycnx3Kg5TNOAgWvRyR23r1792Lz5s2Wx7lcLmzatAl5eXkoKChg\nJVUURbEUkFy5ciVGjBjBirZalV/ZuHGjKSsO8IasZFlmq66xY8caMhNJzysQOJ3eYuVi1lF4eHiX\nSxeIyvnBoKCgwGcWkRi+UBSlw7V52oK0tDTbDFUeY8aMYdlO5AGgNkt9gfTPxHZMv7tcLtTU1HTw\nExghLhiC7Y9WELPHnE4n04AKBF9//XW776Ej4XQ6UfjGZjz6eDbGP/kMPtxfiQ8OVEGRJZz8yOL7\nSBJGjflZ2y/4WasemSTL6BeXADUszJvtaNH+JQmIUGWEOVrHGMqAvKJHOAb80BhylCUJEQ7/bZjI\n9nl5eYiNjTX9Th6fnJwcfPTRR7bnobAjLaTq6+vhdHrrzIaHh/tMfApWlJmMx3nz5mHp0qUIDw+H\noiiIiIhAdna2KavR7hylXLYnP3epqmqgoPD9x+Px4Fe/+pVh/gsWOTk5OH/+vOV8GR8fz7TEeG2v\nyspKPP744ybpDRJlBcCoIPn5+QY9w1DDRU9YkBAJiS6XC6+++ip27NjBtvmSsQgmLBcIaJKj0AEZ\nWqLCvMvlMpT8ESdB2p/Sr2kl0dDQgIMHD6J79+4mNzeVIyICPq36cnNzmYuZCNqapll6B+0gksGv\nueYazJkzp8tXNXYk9UDAS0xYrdLEsFYoEUmt9JN40KQyfvx4ALDNaB08eDASEhJs62MCXmP1QtaT\nFd/zhTJw7cJbVti1a1enasAFgsSkW3Gy/hx+/9gjcLtcKFr5Cqb9/n+xfcN6YMpPDfs6FAeuH3gT\ncKb913U4HMicPQ/NHg1/P7wXd4/8iem9DIqJRLhi9CGoigxN1+CQJTiE34b0Drz6QGVlJaqrq3Hy\n5Emf+1HI3Z9Xk5dp4b2mDQ0NKC0tRVVVVcD3ZgfeQGrruOF0OpGUlIRNmzYZtosajyIlpz31n/Pz\n8y0zIyVJwpNPPomoqChLtX6RsiJJEpxOJ6ZOnWrITqfwr7/khK7ERSOMQyA8EasMmrKyMvzoRz9i\nelki0ZDClZIkYebMmUE3grS0NJPMBA/yOEiShNtvvx2XX345Nm7caBlO5LMcRfBpySI/jsqZ8OUt\n6Dy0MqIwFBkqYtmVhQsXIjU1NaDnJ88aXe/zzz/HtGnT2p1d2l5YcQIDhSzLPuuw0QBNvIeuflZC\nYWGhT1FKoDWbSZZlOBwO2za2d+9eHDhwAFdeeaWJ/0Ho1atXu+/ZF6zChxcKZJRSooudccpXfggV\nqIqEo/sq4XaRCGozSt/ZDM3tAbYvB67qz/Z1u114e/3/Afc+1+7rJt4xAgBwZF8lhg8fjoShSaZ9\nuqlmr9bgXj/A3lPfBHwdK+Pbqhi3Hfgscr46CP0GtEq5WC3eUlNTcebMGYMR1pZ6kfx9U7LL0qVL\n29SWrOY3SZJM74qnErSFYkMoKCiw/S0qKsp2wUSUlaamJsY9LS8vNyQjiBqYoUrruGiEtSBQnoiB\nsMqhtrYWkyZNQnFxMUaPHo3U1FScPn2aiVdOmTIFbrcbL7/8Mku7DRROp1f0NTMz0xAGlWUZMTEx\n+Mc//gHA2zHKysqgqirCwsLYKoBCkIqi2EpWqKqK9PR0U3YLTxTnXeiUBUQTGXlKyOOVn59v4sPw\n9SnF89NkSOrpa9asMXhKQkXlmDiB5OELFJROHUih8TVr1qC5ublN2jsdjcrKSqxatSpgDhMNdnag\ncI6dASZJEkaPHt2mew0GHZEx6wvieJKWloa4uDgkJydb7h9K4pEERZYRlzQMDlWFy6UDkoT+A2/C\nvopy4HCx9x+Hkx8dAe5t/3WrdmzDvvISeNwe/DU/F1u3bkOf24cFdGy4Q8El4W2f1kpbss8Dae9X\nXnklbr31VvTr1w8HDx5EfHy8gdtEYT2xli1vLN12222Gcz744INtapd031bVQQJNQsnPz8fkyZNN\nz/7AAw8YjhNJ/O0xbuwWXLruLQtnt2Dit586dcrAMaX5jr/HQJITugoXjbAWWPFErBqVL9I44C05\ns2HDBuYRoPi+x+NhE5C/8jlWnebEiROmTEVJknD69GnT8ZSZB7SKXsbExCAhIQHFxcWW7t/09HQD\n6ZHuQySKiyA3OzV48ohYQdd15OfnIzIyEmfOnGGFaylUOmPGDLzyyismCQ5CqExUbSms3KdPH1RX\nVyMhIcFnKIz4f0DbtXc6EoWFhbZhwwsBXdfx+OOPA8AFDUleaPCTYmNjIwoLC9GnTx9bD+r06dND\nboUuSxJuTBiKCb/5I1bO/x10TcPra/PR88qrWgVaOwiDhtyKIwf2ALoOzeOB1jJeupqbsbO8DHcE\naITd1Mu+pFsgiI6ONtUitCPR19XVsbGUPDF33HEHi4K43W707duXyctkZWXhwIEDzMumaRp27twJ\nVVXbXa4rRRAc56uDBOJcqKystMz8djgciImJMYTKKRpA44LD4cCpU6faFE7Pzs62zdqnyjB2CyZe\n0oiyIRVFwYQJXmHf/Px85oQIZZmKi0ZYCwLlifAW+JEjR/DWW2/h22+/Ne1HHoG8vDzmsia4XC5M\nmzbNUhXZziP3xhtvGPYjg46MMdoGeAeEyMhIJhdADZEnyvNQFAVpaWkm4483TIlrxsPj8SArKwsD\nBgwIODynaZqlkUalcOxWoKGkckyev2CMk9raWqxYsQKqqtqqVwMwqFb/pyKQhUqog5/MdV1HQUEB\nlixZYsmFkySpTYb9hYaXWyXhbMM30DWv0dDc1IQvv7D2YgIAGr4Aoq4K6jqJH6zBvZN/g+OP/wxu\nl6slCUSCx9P2jLu2go90+Ktby0PTNDQ1NWHbtm2G7bW1tZgyZQoAWBoamqahf//+bRZpJZCEjig4\nHqhzobS01DSG9+3bF1988QVWrlxpqCMJwNCOdV233IdgFe3g/96xY4dlZRe+/Jcvb57oLQO8i0fe\nuA1VAwwAoP8bYMiQIZ1ynYqKCn3+/Pl6RUVFwMfMnz9flyRJB2D7T1EUPT4+3rRdVVXTtebPn68r\nisKOmz9/vq7ruj5u3DjDsZIk6aqq6oqi6N26ddPz8vL01NRUXVEUXZZl3eFw6LIs+7wvOk9eXp5e\nUVGhq6pquK+Kigq9W7du7Bqpqal+z3eh/qWmpnbot24v8vLy2Hey+kffwO5ZrNpZXl6ead+8vLwu\nekIvKioqfD6nr+cPZD9FUXRJknSHw2G4jizLrO3/O0IcFyRJ0ufPn2/ZbsLDw4MaczoS77//vuEf\nj+8aXXrpJ1/pL/xpsx4e4R0HHA6HDrvxTpJ0qBE6phbpmLEp4H8ONUz/1ezn9NGP/EJPffSX+vK/\nFut5f3tHz3zyaf39svJOfR/8mGfXf+3G0WD2F/9169atQ9qAOIeJY7jdNaz6eVJSEuvHfH+cP3++\nZf+WZVkfNWqU4Rri9fPy8vTw8HBdkiRDu8/MzDT0F368D/QZxH3DwsL0zMzMLutbgdotF42wdkLs\ntFaNU1EU24ksMzPT9nzU4Ggb3+FlWTY1Mt6Ak2VZV1XV52SoKAqb5EUDizoB36mtjISO+kfPY/ee\nunKiskNmZqbt8yQnJ9sOyvT9xAFl1KhRpn1DwRDJy8tjbSksLMyvgeVwOEyLBn9GWHh4uJ6dnc2u\n01GTUlehoqJCDwsLs2y//IQjSZJpDOhM+DLCzja69LIT/9I3f/CFvuqNd/RZT8/Vn1+4RJfFPipJ\nusIbZxMLAjfC/ifH+x5kWZdlRQ+P6Kav+Ns7esWn9fru2q/1883uTn8nNOZlZ2f7XWDT2JWamqrn\n5eUZxmm7f7R4Fs9xofp6oM4FfoGgKIqpD9Nc4WthRsYo7Ss6FZKSkkzzTGZmJnMAWI31do4JKwSz\n74VGoHbLRZ2wNqKyspLpkeTm5mLEiBG47bbbLPkDpKcSCHjNF1EIlaC38Ak8Hg9T6AdaY/WSJMHh\ncGD69OkYOXIkRo0aZbhGcnIyMjMzUV5ezng3IrfMimtWXFxs2kYIxnVvdezIkSNRWlqKBx54wHIf\nXt4hVGCnGaYoCgYOHOgzm5W4QnPnzmX6Nbz7HfAmS4QCBy4jIwM7duzAs88+a1m3lMePf/xjlJWV\nYdCgQbbhbx7ElXS5XIiKimLXCcVU8mBA/TYzMxOZmZmGBIu0tDREREQwLadQLdHkLXgNyLKE+MRb\nMG1WNsb9cgLuGHm3Yb/YmxLw5B9zoKotNRkDFaI99y2w/jfeQzSNZWBW797JinMHeKY24eOPPzb8\nIzid3rI8/to6Qdd1vPvuu4iLi0NJSQkyMzNb3wWH2NhYZGZmYsmSJabfLiTfVdSws0NGRgaWLVsG\nVVWh6zpee+01Nq6LGZ78eK+qKpKSkljGPNEJqMg3aQeGhYUhIiLCcE3SsaRQrSRJ+NWvfmUp3ROI\nZmIw+4YKLnLC2gBRMViSJFsyuT/QACzGvK0aoZg2baU5xvPDXnnlFRP/RJZl3HPPPYwsyl+XT5VO\nT0838dOuvPJK2+d49NFHsW7duqCU8Qm6rjMDZMuWLYZ7Je5BqJDyeYiZspdeeikSEhJYXctVq1b5\n5M57sdQAACAASURBVI3puo7t27ejvLycaftkZ2ejtLQUvXr1sq3R2RWgNskrVFvhySefhNPpRE1N\nDcsO0wOYlDVNQ1VVFVJSUrq0TmZHwheh+N9B0ZvU4R2yjBt69sCl4Q58fc6F8Zm/RsX72+FqboYk\ny+h5ZQx+PGAglq/fhDdfW4d3lACV8899C9HMcqhhGOK8nanfB9J22oovvvjC8Hf//q2SG7Tw1QPQ\nAtO5zO2UlBScPHnScgHWs2dPLF++HM8995yppm+oJGZUV1czg0hvkdfQNM2wICwsLDQ83w033ID0\n9HQcOHDAINVRaqFeL/KBRa0vq0UJL91TV1fHJHwC6VuAucReyKFD/W8XCKEWjuRdnoG4q339Iz6W\nv5h3RUWFfs011xiOjY2Ntb0vu3+8q1e8bnZ2tj5q1ChbV3Lfvn1tXdCqqtq+i+TkZD02NtbnfWVm\nZlqG9xwOh4k/ECqg98fzJvjv5ytcybcdCh0HwnnoSoghNvEfH8Lu1q1b0H1DkqSQfv6ORFv4pxcC\nvsKR55vdesWn9XrpJ1/pZxtdbPs/v2vUp8xdYAhLqmHhesGb7+jvH/9Kj5q8yn8Y8rECHZdeYfj+\nzhGj9ZVF7+i7a7/Wq/7+tf7NueYue3YKwRN1wF/bVVWVhSN97c+P93xIOhTafUVFhYlCwdNbRO6w\n+Px2dAK+rVuNiRTCTEpKsuXA+grv+3qeQLlkFwIXw5EXEOSZotIs/qCqqm3Zl6KiIlMGS2FhIbKy\nspCVlcVCVU6nE4mJiYZj+ZUb3Zev8jLk6gW8qwMS4aTrRkVF4d1332UhSt61qyiKrbaT3hJOsnoX\nqqpiz549OHbsmO19AV6v0e7du03bKQM0FMORtOoaOXIkWzHyZXDS0tJYmR4Ro0aNYiEpEqWlArx8\niDKUIGZQ9ezZk7Xtbt26sfR63osQCHjvbUeVEQplkIdZLMUSavCGI72eMB6qIuPcmQbonBfD1dyE\n7Rv+iqPV+xD3VQWkd3KBN/8IvDHX+uQfbAW++xf7c0DCLXg+70+4KTEJkuS9RlQ3c0ivM0AVQGjs\nEb01AwcONOwvyzLLeCbRalmWcfXVV5vOTdVUxo8fj6FDh7I5JBTavVWGJF95JSsrCzk5OZZZni6X\nC2+99RaWLFlioBOIbT0hIcE0Jg4ePBiKomD//v2YNm2aZX8oFSrV+HtflZWVmDt3LhobG9m42tXv\n1w4XjbA2QJx87SBJEjIzM7Fjxw4sW7bMct/4+HiTsbNy5UqsWLECK1aswJ133skapShiKf7tdDqZ\nRgoPOm9ERAQSEhJYp1i9ejUcDodt/Jznp02YMKFNoUan0wm32+2XE+d2u5kujBU6utxTR4GvBye+\nR6fTiRkzZtgem5uba6j3Robctm3bkNJSDiqUwC8+AG84VpIkTJw40cDhEvfzBYfDgYceesjy/f3/\nCivZgFAF8cJ4c9ohSxhy6zAoDqOR9Le/FGLaz1Oxq2gtlOM7cdMVDqD2gM2JjW2j93X9ENZSakiW\ngPirf9CBTxEcfC0idF3H8ePHWX91OBxYvnw5MjIyDON4eHg4hg4dajq+Z8+eGD58OPLy8rB///6Q\nqQ8LtBbxJoj9V9M0y2oPhKNHj2LKlCk4deoU21ZYWIjz58/D4/GgsbER9fX1KCsrQ3x8PNvn4MGD\nrB6x3SJUvDdf74sMv23bthkU9IMtjN5ZuMgJayNo8i0vL2daXCJ0XUdkZCRKWxTnrfDSSy/h+uuv\nZzHvsrIyg1YUb8GLJR6sCr2mpaVh9erVjMivqiqcTicaGxuRnp6O6upqA7ds4sSJ6NOnj23M3E4Q\nL9Bkg8bGRkP5obaivcdfSPji+Jw5Y11Mb9u2bSgvL2fGS1xcHNLT0/Hhhx+ylXFXC7WKoOecO3cu\ntm3bBk3T4HK5TDX2nE5vAfaioiLEx8fj2LFj2LRpk23SSkxMDN5///2Q50h1FGiyvtC1KzsCsgTo\nQtKNBODGm5PwTMHf8H85v8fxI4cATrcQADRdQ5PLx6KNM8IUhwMpD/6UGXw/vCT8AjxJ4KDvQ+O6\nWI/X4/EgPT0dffr0QXR0NOrr65lQKT8O1NTUGNq9JElYv3694TyapuGhhx4KCf4nJZMQ5yoyMtLE\n4fJXaN7lcmHFihVYs2YNFi1ahJUrV7Lf9BYVfAA4fPiw5fGapjGerFjSjb83X5pqVka0XemokEDH\nRkEvDEKNE8aD4t3JycmWHABZlv1qzsiyrN9www22v2dnZ1tybOxS2yn2npqaaojfq6rqMxXYH/Ly\n8hhnzJ9OFn/v/H6SJOmxsbEG3kQg3CHSWfp3gz9eGOnqVFRUmLgkXSld4AuiVInIabHSBsrMzNST\nk5Mt+TKhyPe70Ph34IQ1uTz63lNf67trv9bPnG/lhH3f5NLLT/xLLzp8Wn/+T5v0CH+6WqOeMPLB\nsv6s45JoHYAedcUP9WfXbtSLDp/W9/z9a33/Z9+ExLPT98nLy2NyFfwz8dwu0gTkJRwyMzP18PDw\ngLiQVnqRXY2KigpLyRzxX2RkpO1vohwFjXfz58/3e972yEv44+p2FgK1Wy56wtoJ8hSdOnXKtjAv\nrabsCj9rmobjx4/bXsPKsg8PD7dNbad7eu6557Bx40a23eVyMf6NVSqwLxBPorm5mWXz9e7dG7W1\ntbbHjBs3DmfOnDE8s8PhwLRp0zBlyhSmSq0HwB0KdY+BHdLS0lBQUGDJowCArVu3oqSkBL179zZ5\niuwkMLoaYlaoznFaxEoLTU1N7FsDsPSGhaLX70LjQteu7AiEOWT063kJPvrnWcN2ypqUAcTGD0XR\n5mIcqqrAydparMpfCWPwEsDWxcCNd7X+XTgV+N7rUbkiphcGDE6EhJawZ2A0wgsO8fs899xzrM2T\nV6XUol4jAEybNi2gAuAEyiQMlfZA0hK+asASzp49a/tbRESEqbJIY2MjXn/9db/ndTgcbR7veY8k\neSpD2cN+kRPWQUhLSzPF0GNiYgwcASrCnZqa6pNALyIiIsKgfSLqDtlBjKNTYe+26BOJE+vkyZN9\nGmAAcPz4caxevZr9TaWHxDRof0hNTe3yQtZthdPpZEXc7eDxeCzfZai6z624I7yRzHNj+KQDX7pp\na9asCTkO3EUAkRGqNyTJGVYSAKVFx0uRJQxJuhWzZ8/GuJ//AmpYAGR6Lrp515hHAUmCLHn5Z6GK\nlJaawTSWp6SkmCgmHo8HRUVFQSWlAKFTE5dACVuEa6+91lYH0hdPeM+ePVi6dClSU1MRGxsLRVFQ\nVlbmk/tLCMZBYAXSegt1Awy4aIR1GJxOJ26//XbDti+//BK6rjPickZGBpYvX44333wTy5YtC9gQ\nGzhwICPIl5aWYvny5QE1KlEwcseOHXj//fcNQrCBQpxYrTqf2FHPnj3LVkFE4A62KLMsy0hKSgrp\nTuQPvrIk7UADfahCb9FPcjgcyMjIMPE3qL1S0oGiKD7fQShmv16EF1dFRqBHmPHbUeZkjzAFzW7v\nWHDrrU7MeuZ5yC3jmqwouPq6G0wEftkRhqt/dAOSfnIPftQvFpLUUqdSlnH9FT0656GCBLXpiRMn\nYvz48diwYYPBwyvLMsLDwzF27FiWlBJIYookSSFTE9cOPXq07Zs0Nzejvr4eb775Jn7xi1/4NNj4\nucNXlMcKJJz+/9q797Aoy/x/4O/nmVMpooUSiKU/UhAUPIAH3DLMdHNLk/T7U9OLShM1zay9sq22\na2lro9KKDtaG27q6ldbutmrypTR0Em3KRUhN09bTFp4WMfAQMqf7+wc8jzPDQZBhnhme9+u6umJg\nnLk/MIfP3Pfn/tyeH+JCZQcywMJ8v8nLy8P27du9vieEqNfV3mazNXhYqS+DwaA2yWtNR+2Glj2u\n5AnvOcVbWVmJl19+ud74ZVnG+PHj1Q7UygYDZRcRUBt/ZmamesJ9U5QXtmBORppDOVzXs9GpJEkY\nMGAAdu3a5XXwenx8POLj44OiULcxylZ2UdeI1fPxrVAuW61W5ObmorS0FCUlJV4NgZXETDlkN9T/\nzu1VTOervS4rjVQ7WgwwGS4lGhajjAtVlepqpNvlwrEjB2E0mRC56yP8t0sc4LTDfe40Tp4/jRP/\nOYxvvrQie/lHGJw6DNd2MGnWlqK5Vq5cWW8jlnLih+ch0QsWLGiyUTNQ+3xXdlYGE98SigMHDlxR\n01whhDpbGBER0ehtSJKEOXPmeN1/S8pkPBuK+54yo+zKDOZyByZhfmCz2TB//nyvpETpFi5JkvpA\nzMvLU5+cl3tQu91uzJkzR03AGnqgBZpyn6NHj4YQAgaDAb/4xS/w9ddfq2+k48aNwyeffOL1IhUf\nH4/Dhw9j+fLlWLlyJR566KEm72fkyJGYPn16SEwlN1dWVhYOHTqEJUuWqJ2ov/vuO6/ruN1uHDhw\nAEePHlV7bgWj5uzu83xxlCRJrZtRGI1GLFu2DElJSbrZFdleyJIEWZJgMcheS5WSJOG20aPwx9yX\n4Khx177GCQG3y4WkLsC2/Odr61Ihwa0cV2UX2PsvG4YOHQ4JQbweiUslGb4fHmVZ9krAKioq4Ha7\nvV7jjUYjoqKicOzYMfV9ISsrK+gSMOBSCcU777xTr0+awmAwID4+Xt3N3RDPHYlKO5uGrms2m1uU\neHlqqN2LshSp1GAr5Q5Xeh9tjcuRfmC1Wr0eqCaTCb/+9a/Vbc0PPfQQHn/8ccybN6/Rpqa+lOv4\nZvVa9xXyfCESQuDixYsYN26cuuRaUVFRb4asU6dOcDgc6qeSpUuXNjkLtn37diQlJTXrvLNQYbPZ\n8Morr6h/V+Vv6ftYcLvdQd1YEGj4fFNfno9Zp9NZ7+/96KOPIisrq9nn2lHwMBlkDIzpXFucL0le\nxfRjbrkZS//yD9w2aQZMZjNkgwFGkwm33Pk/ePLtDzFpzq/xqxlZ6uNeuN0I73INrjIF/1uR8uHD\nt+xi/PjxXo/fxmZ9lAQMuJR4BCvP801NJlO9pdWpU6fi4MGDTb6XGQwGREREICcnBxEREfXKb4YO\nHYq5c+fi9ddfh9VqvaIlQ88yGd8ejTNnzlT/VsFc7hDwmbADBw5gypQp6uXDhw/j97//PRYtWhTo\nofiNUrRZU1Ojdk8uLS1VkxG73a7OgCiUWSSlfxcArylZ39sPlr5Cvj10lOUlWZZx8uRJxMXFeV1f\nKTpVrqcsYXn+3PdTY7DtFvIHq9V62eUJRTA3FlRcbnef8jhpbJdYc4pzKXgZ5EvF9J5/XZNBRlLK\nUHRPGITRd/0P9hXbkDR0BHomDobd5UJs/0HIX/kWJEmGEG5IsozzVT/V68ofjDzPMHz33XfV2X/P\nWWtlF7nvhw7f5/6VNL4OlLy8PPzjH//A3XffjfLycgwcOBAvv/yy+nNJklBeXq6+v0mShJtvvhnb\ntm3zisvhcGDevHmQJAlmsxlTpkzB+++/r/48PT0dEydObNUqT1M9GjMzM9Xellq/bzYl4ElYfHy8\n+gLscrkQExODjIyMQA/DrzybU06aNAlZWVmYN2+e13U834hkWcZbb73V4FT0gw8+CJfLBYPBoLYo\nCKYDf30bdipxud1urF27Vj3QXJlynz17Nrp06eJVzK8c1WEwGDBixIgGW3sEexLSUp7T45cT1I0F\nm8n3Dcu3RYdyYDuFLglS3SHbnt+rXa5UCvdrtzzWXk+WJbhcAv1T0/CxxQynwwGjyYRBw34BwHsH\nZrBSPnxkZmY2+HqstK24HGVmJtg+aObl5XlNBkiShM2bN3u9bgkh0K1bN3ViwGAw4Nprr1U/UHtS\nLtfU1ODrr7/2+tmrr76Ks2fPNric2BKNfSAMpvfNpmhaE1ZYWIgbb7wRPXv21HIYraZ8+qmpqUFh\nYSEKCgowbtw4WCwW2O32eh3jb7vtNvUMMc9ETKkbUpbrFi1ahKSkJPVBFgwPIpvNBqvVikmTJqlL\nTp6UBNLtdntNuSszhUptkCzLmDJlCv72t7/Vu4/2kIT4SktLw+zZs/HHP/5R/V5DM0SSJLWLzQiA\n9xvWqlWrsG/fPnXmNxhrYahlJAno2tGCqE4Wr+9JEvD9rmL8bvb/h9PugNFswjPLP0KvfoMhSQJ9\nB6biuT/9Dft22pA8ZAQGpg6FrEE5WEpKyhX/28ZejyMiIrwSkcTERMTFxWHdunVez/dgnZlR3pcU\nnn0uPeP66KOP1BWfFStW1IvPl9vtxsGDB72+53K5cPLkSfVDeVv8ToLlfbMpmiZha9aswbRp07Qc\ngl94Nu0DgLVr16KgoACvv/46Kioq8MMPP3jtBty4caP6/0OHDmHixImwWq3Yu3cvPvjgA/XBrNQG\nBcuDyHcnyhtvvIGCggKvozmU/lGeS4zKJ5JFixapy5JutxsffPCB1+0rdQftJQnxpUyPN7ZEJ8sy\nsrKygraA9EqFwgshtZwsAREdzLjKdKnWR6rr+bW32Aan3QG32wWnA9j7Lxv+X7/BACRIsoSEgakY\nkDqs9s3XaKhd1gzwRFinTp38fpuejYxlWcaMGTOQnp6OgoICtVxlwoQJQbv7edKkSer7E3Bph/pD\nDz3kVcvrcrlQUVGBG264wWujmVKDdbm6Z6W9TUFBAVwuF2RZRm5ublD+TtqaZkmY3W7H+vXrkZOT\n0+DP8/LykJeXBwAoLy8P5NBaLD09vd4nBaVHyhNPPOF17qLvbpMlS5bgtddea7BIW5KkoEpGfDcI\nKD1glLYbiuXLl6vtOTyTyJIS78N8fWvDxo8fj6ioqHaXhCg8l+hWrFhRb9liwoQJePvttzUaHVHL\nKMuOviRISEodAaPZBKej9oNZ0pARtT+TAANqX9sMEtRGrd3Dr0bXjuaAjr8tKPXBvnVInn31gjUB\nAy6tzCjnvnbp0kVdyrvxxhuxYMECuFwurw/KnsuSM2fORGZmJn7zm980edi3JEkYPnw4ioqK1N9N\ne1v9aLZmHW7UBtauXSvGjBnTrOsG89mRCt+zFH3Pw1POIvM9g6ypcxOD7Uwx3zMBGxpbY9d5/vnn\nL3tGpFZnfGlBOV9OecwYDAYxd+5cXcROwaOp8xMv52e7s8Hvf3mkQvzvvpNiyfsbxMxHnxKvrs4X\nn3x7QnxYekysLikTa/ccF/n7Toot/y4XWw+dFrYjZxq9rVDkey7o888/rz7PZVlWz4sNRQ2deep5\nprBynYkTJzZ4Tqzn+15T75ftQdCfHbl69ep2sRSpyMrKQlJSUqOnvPsuyShTu771Yp6CbZdgcwod\nG7tOU836FG63+4qLM0ONEt+KFSvUI33y8vKwcuVKzfrAEbXE1aaGT/yQJQkWo4x+g1IxZNgwOFwC\nNU6Xej6kLEmQIdU1fZXqliKDvyi/uXxf6313lH/++ecoKioKmee550pHZmYmnnjiCfVnSu9Ll8uF\noqIiAMD8+fPr7QZVThAQdbvjPVeOWnqOcXujSRJ24cIFbNq0Ce+8844Wd99mmlv7MnHiROTm5jbY\n+K9r1644ffo0gOBsVdCcGBu6ju+hz8Clg4A9n5jBWrDaFqxWq9euQT0lodR+1R5DJEM2SbjKaIAQ\nLtjrki25riWrySDVNX0N7jMj/UH5YPrAAw9g3759IfU89z3Me8WKFeo5vkqTciXhqqmpUVt3+BJC\n4NFHH8XZs2cBAOHh4Xj11VcBtPyYovZGkySsY8eO+l3/hfebr+cnQIvFgptuuglr164F0L52Caan\np8NoNHrtpjSbzermhVA47d7ffHdS6S0JpfapdrYLau8vk0GGwemuK9oW6lmRsnSpzYUWjh8/7nW5\ne/fubXZfe/bsUY9xA4Kv3rcxvh8UPZNH3yblBoOh0d+hEAJLly6FEAJGo1FdAdJzQb6CxxZpoLGl\nuXHjxmHDhg3qZZPJFBJP1OZQOhgrR2EoU9BKIajS+kJPfGcHY2Nj8dhjj+n6BYlCn1w3w22oy65k\nCTAaapMtd92ipLG2Kh+SBPTofHWjS5tt6fvvv/e63JZJmG/rh+b0CwwGERERXiUzsiyjsrJS7YLv\n26Q8KSlJ3QnqS3md80zqhBAoLS0NTDBBikmYBho7R+vMmTNeU7njxo1rV2/Ivh2MlSnoxg5hbc9s\nNht++OEHmEwmOBwOuN1uHD582Ks3HFEoSrm+C2xHzwCAugRplCV1hkySAIMkQ0BAloCo8Ku0HXAA\n+LZ+kCQp6Jcjlf6XSqmIqNvx/tJLL6mtK3Jzc71WMgBgy5YtyM7O9oq3MUIIvPvuu+12R3xzBP9Z\nEe1Qeno6rrrqKq8zyGRZxsWLF72uFxUVFeihtanGzhwMprMxA0FJOpVWHqmpqeqMmB7ip/ZPrfeq\nu2xQa8JqlymVjvrtvR5MkZWVhcWLF6sF6qHQC9HznGDfo+WU1yqlhGTRokV4+umnMXr0aABAdnY2\nzOaGW474nr0ZzOc6BgKTMA0oycicOXNgsVhgMBhgsVgwa9YsWCwWtWt6eyxWbOjA5sYOYW2vPJNO\nl8uFwYMHq48DPcRP+qC819bOfkl1iZiEDnWHdUsSkBDp/4apwerFF1/Etm3b8Nxzz4XEbL/n67Lv\n4dvKeZDp6elqs3KXy+XVYNxqtWLu3LlISEjw+rc333yzV4Km99c8LkdqpLEzyJKSkoL+rCt/C5Uz\nvvxFeXHzXJZt7Cw6olCkFN1DEnXF97Wd8e1OF0wGWU3QOlr09RYUSqdHeL4uR0REYOHChbDb7TAa\njZg1a5a6hLhnzx613svtdmPHjh2w2WxqrMoOS4fDAYPBgMTEREyfPl2tBdPzUiTAJExzvk/KUHqS\n+pOe4m4s6dRL/NT+yZKEbmFmXNfJAqdL4NuT52AxSHC5PUowdLIUGco8X5cb64Ppu8Fo3bp1+Oyz\nz7xm+2bOnImTJ0+ioKAAy5cv103tb3MwCSPSgJ6STtKfwT06q7U/Lrezth5MlnCVUakHqy3Op9Ci\nbKzybCqtHNWknIkrhEBNTQ2ys7MxadIkLFq0CHa7HZIkqfVlodInLRD4LCDSiM1mQ05ODmw2m9ZD\nIfIrz+JrQ11PMFkCzEZZLdYf1KMzAD4PQkVjG6h8a5yVWbFNmzZh3rx5uHjxIlwuF9xut1pfpvc6\nME+cCSPSgB7bcpA+WYwGJEWHY+ePVQC8O+TzeRA6fGtZPZMozxrn7OxsbNq0SZ0VA2qTclmW8cgj\nj3gdCk6cCSPShN7acgQbzr4ElsVoqF2GrCvY73yVCQCfB6GksRZDvtfJzs5ucDel2+3GG2+8wQTM\nB2fCiDTQ1KdKalucfdGGXDcF1i3MjBuu6QCAz4NQ09yzg5ctW6Ye7K0sT7IWrGFMwog0oLe2HMGk\nodkX/v7bnrIM6XlQCJ8H7VNWVpbabikiIkItzmeiXR+TMCKNcIekNjj7oo3GWlLwedD+2Gw2tZ1F\neno6E+0mMAkjIl3h7Is2wuvqwK7pYNJ4JNSWlOasdrsdALBixQps2bJF7a4PsCeiJyZhRKQ7nH0J\nvLhuYVoPwUtcXJzWQ2iXrFYrHA6Hetlut+Oll15Cfn4+XC4XLBYL6zA9MAkjIiLd6d69u9ZDaJfS\n09NhMpnUmTBJkrB+/Xq1o77n+ZLEFhVERETkJ8rh3RMnToTBYIAQQk3AAMBgMLAO0wOTMCIiIvKb\ntLQ0DB06FADUhq0AYDQa8eabb3IWzAOXI4mIiMivPHchGwwGzJw50+vgb6rFJIyIiIj8iruQm4dJ\nGJEGbDYbX5yINHTu3Dmvy506ddJoJO0XdyFfHpMwogDjsTlE2tu5c6fXZRaLkxaYhBEFGI/NoWDx\nySefYMOGDQCAO++8s14ikpqaqn5dXFzs1/s+fvw4JkyYoN53dna2X2+fKBRwdyRRgCkFqwaDgcfm\nEBHpGGfCiAKMBaukd3a7Hd27d/f77BpRqGESRqQBFqxSqKqursaqVatQWFiIsrIySJKEnj174o47\n7sDUqVNhMBgA1F9uTE5Oxvvvv4+ysjL89re/RUpKSoPLkZ5LoL48r1dZWYk///nP2Lp1K06dOgWT\nyYQbb7wRGRkZ6u0CtbVfc+bMAQDMnj0bHTt2xN///nccPHgQ1113HTIyMtC/f39//5qImoVJGBER\nNUt1dTVmz56N/fv3e33/+++/x/fff4+vv/4aubm5kGXvSpeioiK19qw1JEkCAFRUVOC+++7DiRMn\n1J85HA7s2bMHe/bswbfffosnn3yy3r9fs2aNuivS4XCgrKwMb731Fp555plWj43oSrAmjEhjNpsN\nOTk5sNlsWg+FdGzDhg1ITU31+s/X6tWr1QQsLS0Nn332GdavX4++ffsCAL788kts3Lix3r+rqqrC\nfffdh8LCQmzatAnDhw9vdBzFxcXqfx9//DGuvfZaAEBYWBimTZsGAHj77bfVBGz8+PHYvHkzVq9e\njejoaADAxx9/jN27d9e77erqaixZsgRWqxXDhg0DALhcLi6LkmaYhBFpSGlX8fTTT2P06NFMxCio\nbdu2Tf16wYIFiIiIQPfu3TF79mz1+9u3b6/373r27In58+ejc+fOuOaaa9CtW7fL3ld5eTkWLFiA\nM2fOwGw245VXXkFcXFy9cTzyyCMIDw9Hnz59cM899zQ4VsXIkSMxatQohIWFeSWZFRUVlx0PUVtg\nEkakoYbaVRBp4c477/SahWpoduinn35Sv46KilK/VmagAODMmTP1/l1cXJy6lNgcZ8+exfz583H8\n+HHIsoycnBwMHjy43jg6dOiA8PDwBsfhOVZFr1691K8tFov6tdPpbPbYiPxJkySssrISkydPRt++\nfZGQkMBP/6RbbFdBoeSaa65Rvz558mSDXyvLh548E57Lqa6uxsMPP4zDhw8DAJ566inccsstXtdR\n7uPnn3/G2bNnGxyH51gVRiPLoCm4aJKEPfzww7j99tuxf/9+7Nq1CwkJCVoMg0hzSruKZ599lp3z\nKejddNNN6tfLli3DmTNncPz4cSxfvrzB67SU0+nE4sWLsWfPHgC1S5533XVXk+PIzc3F2bNnUYzS\nOwAADbtJREFUcejQIXzwwQd+GQdRoAT8Y0FVVRW2bt2Kv/zlLwAAs9kMs9kc6GEQBQ22q6BQMW3a\nNGzevBn79+/Hl19+ibFjx3r9fMSIERgzZswV3/7u3bu9VkbefPNNvPnmm+plpUXF3Llz8dVXX+HE\niRNYv3491q9f73U7d999N5KTk694HESBEvAk7MiRI+jWrRvuv/9+7Nq1CykpKXjttdfQsWPHQA+F\niIha4Oqrr8by5cuxatUqfP755zh27BiA2lorpU+Yb3uKlhBCNOt6ERER+Otf/9qsPmFEwUwSzX3U\n+0lxcTGGDx+O7du3Y9iwYXj44YcRHh6OZ5991ut6eXl5yMvLA1C7S+Y///lPIIdJRNTu+W4E0VNN\nop5jp7aXmprarNYnAa8J69GjB3r06KH2aJk8eTJKSkrqXS8rK0vdodOc7cxERETNFR0d7fUfkRYC\nvhwZFRWF66+/HgcOHEB8fDwKCwuRmJgY6GEQEZGOxcfHaz0EIm2OLXrjjTcwffp02O12xMbGYsWK\nFVoMg4iIiEgzmiRhAwcO5DERREREpGvsmE9ERESkASZhRERERBpgEkZERESkAR6kRUREusM+YRQM\nOBNGREREpAEmYUREREQaYBJGREREpAEmYUREREQaYBJGREREpAEmYUREREQaYBJGREREpAEmYURE\nREQaYBJGREREpAEmYUREREQaYBJGREREpAEmYUQasNlsyMnJgc1m03ooRESkER7gTRRgNpsNo0eP\nht1uh9lsRmFhIdLS0rQeFhERBRhnwogCzGq1wm63w+VywW63w2q1aj0kIt0JCwvz+o9IC5wJIwqw\n9PR0mM1mdSYsPT1d6yER6U5qaqrWQyBiEkYUaGlpaSgsLITVakV6ejqXIomIdIrLkUREREQa4EwY\nUYCxMJ+IiADOhBEFnNVqRU1NDVwuF2pqaliYT0SkU0zCiAIsIiICbrcbAOB2uxEREaHxiIiISAtc\njiQKsIqKCsiyDLfbDVmWUVFRofWQiHSnuLjY6zJ3S5IWmIQRBVh6ejosFgtbVBBp6Pz581oPgYhJ\nGFGgsUUFEREBTMKINJGWlsbki4hI51iYT0RERKQBJmFEREREGtBkObJXr17o1KkTDAYDjEZjvV0q\nRERERO2dZjVhW7ZsQdeuXbW6eyIiIiJNcTmSiIiISAOaJGGSJGHs2LFISUlBXl6eFkMgIiIi0pQm\ny5Hbtm1DTEwM/vvf/2LMmDHo27cvRo4c6XWdvLw8NUErLy/XYphEREREbUaTmbCYmBgAQGRkJDIy\nMrBjx45618nKykJxcTGKi4vRrVu3QA+RiIiIqE0FPAm7cOECzp07p369ceNG9O/fP9DDICIiItJU\nwJcjT506hYyMDACA0+nEPffcg9tvvz3QwyAiIiLSVMCTsNjYWOzatSvQd0tEREQUVCQhhNB6EJfT\ntWtX9OrVK6D3WV5erttaNL3Grte4Af3Grte4Af3Grte4Af3GrkXcR48exenTpy97vZBIwrSQmpqq\n207+eo1dr3ED+o1dr3ED+o1dr3ED+o09mONms1YiIiIiDTAJIyIiItKAITs7O1vrQQSrlJQUrYeg\nGb3Grte4Af3Grte4Af3Grte4Af3GHqxxsyaMiIiISANcjiQiIiLSgG6SsB9//BGjRo1CYmIi+vXr\nh9deew0AcObMGYwZMwZ9+vTBmDFj8NNPPwEAhBBYuHAhevfujeTkZJSUlKi3tXjxYvTr1w8JCQlY\nuHAhgn0y0Z+xP/744+jfvz/69++PDz/8UJN4mqulce/fvx9paWmwWCxYunSp1219+umniI+PR+/e\nvfHCCy8EPJaW8mfsM2fORGRkZEicbOGvuBu7nWDmr9gvXryIoUOHYsCAAejXrx9+97vfaRJPc/nz\nsQ4ALpcLgwYNwp133hnQOK6EP2Pv1asXkpKSMHDgQKSmpgY8lpbwZ9yVlZWYPHky+vbti4SEBNhs\ntsAGI3Ti+PHjYufOnUIIIc6ePSv69Okj9u7dKx577DGRk5MjhBAiJydHLF68WAghRH5+vrj99tuF\n2+0WNptNDB06VAghxPbt28WIESOE0+kUTqdTDB8+XGzZskWTmJrLX7Fv2LBB3HbbbcLhcIjz58+L\n1NRUUVVVpU1QzdDSuE+dOiV27NghnnzySbFkyRL1dpxOp4iNjRWHDh0SNTU1Ijk5WezduzfwAbWA\nv2IXQogvvvhC7Ny5U/Tr1y+wQVwBf8Xd2O0EM3/F7na7xblz54QQQtjtdjF06FBhs9kCHE3z+fOx\nLoQQL7/8spg2bZq44447AhfEFfJn7D179hTl5eWBDeAK+TPuzMxMsXz5ciGEEDU1NeKnn34KYCRC\n6GYmLDo6GoMHDwYAdOrUCQkJCTh27BjWrVuHe++9FwBw7733Yu3atQCAdevWITMzE5IkYfjw4ais\nrMSJEycgSRIuXrwIu92OmpoaOBwOXHfddZrF1Rz+in3fvn0YOXIkjEYjOnbsiOTkZHz66aeaxXU5\nLY07MjISQ4YMgclk8rqdHTt2oHfv3oiNjYXZbMbUqVOxbt26wAbTQv6KHQBGjhyJa6+9NnCDbwV/\nxd3Y7QQzf8UuSRLCwsIAAA6HAw6HA5IkBTCSlvHnY72srAz5+fl44IEHAhdAK/gz9lDir7irqqqw\ndetWzJo1CwBgNpvRpUuXAEaio+VIT0ePHkVpaSmGDRuGU6dOITo6GgAQFRWFU6dOAQCOHTuG66+/\nXv03PXr0wLFjx5CWloZRo0YhOjoa0dHR+OUvf4mEhARN4rgSrYl9wIAB+PTTT/Hzzz/j9OnT2LJl\nC3788UdN4mip5sTdmMZ+H6GiNbGHMn/F7Xk7oaK1sbtcLgwcOBCRkZEYM2ZMyMTe2rgXLVqEl156\nCbIcem+NrY1dkiSMHTsWKSkpyMvLa+vh+k1r4j5y5Ai6deuG+++/H4MGDcIDDzyACxcuBGLYqtB7\npLXS+fPnMWnSJOTm5iI8PNzrZ5IkXfYT38GDB/Hdd9+hrKwMx44dw+bNm1FUVNSWQ/ab1sY+duxY\n/OpXv8KIESMwbdo0pKWlwWAwtOWQ/aK1cYcyvcbur7ibup1g5Y/YDQYDvvnmG5SVlWHHjh349ttv\n22q4ftPauDds2IDIyMigbWXQFH/8zbdt24aSkhIUFBRg2bJl2Lp1a1sN129aG7fT6URJSQnmzZuH\n0tJSdOzYMeA1v7pKwhwOByZNmoTp06fj7rvvBgBcd911OHHiBADgxIkTiIyMBADExMR4zfKUlZUh\nJiYG//znPzF8+HCEhYUhLCwM48aNC3wh3xXwR+wA8NRTT+Gbb77Bpk2bIIRAXFxcgCNpmZbE3Zim\nfh/BzB+xhyJ/xd3Q7QQ7f//Nu3TpglGjRgV12QHgn7i3b9+O9evXo1evXpg6dSo2b96MGTNmtPnY\nW8tff3PlNS0yMhIZGRnYsWNH2w3aD/wRd48ePdCjRw91pnfy5MleG9ECQTdJmBACs2bNQkJCAh59\n9FH1+xMmTMDKlSsBACtXrsRdd92lfn/VqlUQQuCrr75C586dER0djRtuuAFffPEFnE4nHA4Hvvji\ni6BfjvRX7C6XCxUVFQCA3bt3Y/fu3Rg7dmzgA2qmlsbdmCFDhuDf//43jhw5ArvdjjVr1mDChAlt\nOvbW8lfsocZfcTd2O8HMX7GXl5ejsrISAFBdXY1Nmzahb9++bTfwVvJX3Dk5OSgrK8PRo0exZs0a\n3HrrrXjvvffadOyt5a/YL1y4gHPnzqlfb9y4Mah3Q/sr7qioKFx//fU4cOAAAKCwsBCJiYltN/CG\nBHQbgIaKiooEAJGUlCQGDBggBgwYIPLz88Xp06fFrbfeKnr37i1Gjx4tKioqhBC1O4QefPBBERsb\nK/r37y/+9a9/CSFqd8plZWWJvn37ioSEBPHII49oGVaz+Cv26upqkZCQIBISEsSwYcNEaWmplmFd\nVkvjPnHihIiJiRGdOnUSnTt3FjExMeruz/z8fNGnTx8RGxsrnnvuOS3DahZ/xj516lQRFRUljEaj\niImJEX/605+0DK1J/oq7sdsJZv6KfdeuXWLgwIEiKSlJ9OvXTzzzzDMaR9Y0fz7WFVu2bAmJ3ZH+\niv3QoUMiOTlZJCcni8TExKB/jfPn37y0tFSkpKSIpKQkcdddd4kzZ84ENBZ2zCciIiLSgG6WI4mI\niIiCCZMwIiIiIg0wCSMiIiLSAJMwIiIiIg0wCSMiIiLSAJMwItKl7OxsLF26VOthEJGOMQkjIiIi\n0gCTMCLSjT/84Q+Ii4vDTTfdpHbJfv3115GYmIjk5GRMnTpV4xESkZ4YtR4AEVEg7Ny5E2vWrME3\n33wDp9OJwYMHIyUlBS+88AKOHDkCi8WiHtdDRBQInAkjIl0oKipCRkYGOnTogPDwcPX8z+TkZEyf\nPh3vvfcejEZ+LiWiwGESRkS6lp+fj/nz56OkpARDhgyB0+nUekhEpBNMwohIF0aOHIm1a9eiuroa\n586dwyeffAK3240ff/wRo0aNwosvvoiqqiqcP39e66ESkU5w7p2IdGHw4MGYMmUKBgwYgMjISAwZ\nMgSSJGHGjBmoqqqCEAILFy5Ely5dtB4qEemEJIQQWg+CiIiISG+4HElERESkASZhRERERBpgEkZE\nRESkASZhRERERBpgEkZERESkASZhRERERBpgEkZERESkASZhRERERBr4P8dQB2o2T3wzAAAAAElF\nTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f00de9f0550>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from fbprophet.diagnostics import cross_validation\n",
    "df_cv = cross_validation(\n",
    "    m, '365 days', initial='1825 days', period='365 days')\n",
    "cutoff = df_cv['cutoff'].unique()[0]\n",
    "df_cv = df_cv[df_cv['cutoff'] == cutoff]\n",
    "\n",
    "fig = plt.figure(facecolor='w', figsize=(10, 6))\n",
    "ax = fig.add_subplot(111)\n",
    "ax.plot(m.history['ds'].values, m.history['y'], 'k.')\n",
    "ax.plot(df_cv['ds'].values, df_cv['yhat'], ls='-', c='#0072B2')\n",
    "ax.fill_between(df_cv['ds'].values, df_cv['yhat_lower'],\n",
    "                df_cv['yhat_upper'], color='#0072B2',\n",
    "                alpha=0.2)\n",
    "ax.axvline(x=cutoff, c='gray', lw=4, alpha=0.5)\n",
    "ax.set_ylabel('y')\n",
    "ax.set_xlabel('ds')\n",
    "ax.text(x=pd.to_datetime('2010-01-01'),y=12, s='Initial', color='black',\n",
    "       fontsize=16, fontweight='bold', alpha=0.8)\n",
    "ax.text(x=pd.to_datetime('2012-08-01'),y=12, s='Cutoff', color='black',\n",
    "       fontsize=16, fontweight='bold', alpha=0.8)\n",
    "ax.axvline(x=cutoff + pd.Timedelta('365 days'), c='gray', lw=4,\n",
    "           alpha=0.5, ls='--')\n",
    "ax.text(x=pd.to_datetime('2013-01-01'),y=6, s='Horizon', color='black',\n",
    "       fontsize=16, fontweight='bold', alpha=0.8);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "[The Prophet paper](https://peerj.com/preprints/3190.pdf) gives further description of simulated historical forecasts.\n",
    "\n",
    "This cross validation procedure can be done automatically for a range of historical cutoffs using the `cross_validation` function. We specify the forecast horizon (`horizon`), and then optionally the size of the initial training period (`initial`) and the spacing between cutoff dates (`period`). By default, the initial training period is set to three times the horizon, and cutoffs are made every half a horizon.\n",
    "\n",
    "The output of `cross_validation` is a dataframe with the true values `y` and the out-of-sample forecast values `yhat`, at each simulated forecast date and for each cutoff date. This dataframe can then be used to compute error measures of `yhat` vs. `y`.\n",
    "\n",
    "Here we do cross-validation to assess prediction performance on a horizon of 365 days, starting with 730 days of training data in the first cutoff and then making predictions every 180 days. On this 8 year time series, this corresponds to 11 total forecasts."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "output_hidden": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Initial log joint probability = -54.7928\n",
       "Optimization terminated normally: \n",
       "  Convergence detected: relative gradient magnitude is below tolerance\n",
       "Initial log joint probability = -54.8986\n",
       "Optimization terminated normally: \n",
       "  Convergence detected: relative gradient magnitude is below tolerance\n",
       "Initial log joint probability = -56.7901\n",
       "Optimization terminated normally: \n",
       "  Convergence detected: relative gradient magnitude is below tolerance\n",
       "Initial log joint probability = -57.0627\n",
       "Optimization terminated normally: \n",
       "  Convergence detected: relative gradient magnitude is below tolerance\n",
       "Initial log joint probability = -78.435\n",
       "Optimization terminated normally: \n",
       "  Convergence detected: relative gradient magnitude is below tolerance\n",
       "Initial log joint probability = -58.2217\n",
       "Optimization terminated normally: \n",
       "  Convergence detected: relative gradient magnitude is below tolerance\n",
       "Initial log joint probability = -59.8515\n",
       "Optimization terminated normally: \n",
       "  Convergence detected: relative gradient magnitude is below tolerance\n",
       "Initial log joint probability = -60.6813\n",
       "Optimization terminated normally: \n",
       "  Convergence detected: relative gradient magnitude is below tolerance\n",
       "\r",
       "|======================================================|100% ~0 s remaining     Initial log joint probability = -66.0636\n",
       "Optimization terminated normally: \n",
       "  Convergence detected: relative gradient magnitude is below tolerance\n",
       "Initial log joint probability = -60.4143\n",
       "Optimization terminated normally: \n",
       "  Convergence detected: relative gradient magnitude is below tolerance\n",
       "Initial log joint probability = -65.0767\n",
       "Optimization terminated normally: \n",
       "  Convergence detected: relative gradient magnitude is below tolerance\n",
       "          ds        y     yhat yhat_lower yhat_upper     cutoff\n",
       "1 2010-02-16 8.242493 8.957810   8.462753   9.434153 2010-02-15\n",
       "2 2010-02-17 8.008033 8.724243   8.241599   9.221809 2010-02-15\n",
       "3 2010-02-18 8.045268 8.607983   8.137073   9.106919 2010-02-15\n",
       "4 2010-02-19 7.928766 8.529845   8.017107   8.980099 2010-02-15\n",
       "5 2010-02-20 7.745003 8.271791   7.782124   8.775150 2010-02-15\n",
       "6 2010-02-21 7.866339 8.603075   8.129926   9.118596 2010-02-15\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%R\n",
    "df.cv <- cross_validation(m, initial = 730, period = 180, horizon = 365, units = 'days')\n",
    "head(df.cv)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>ds</th>\n",
       "      <th>yhat</th>\n",
       "      <th>yhat_lower</th>\n",
       "      <th>yhat_upper</th>\n",
       "      <th>y</th>\n",
       "      <th>cutoff</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>2010-02-16</td>\n",
       "      <td>8.953995</td>\n",
       "      <td>8.456979</td>\n",
       "      <td>9.470567</td>\n",
       "      <td>8.242493</td>\n",
       "      <td>2010-02-15</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2010-02-17</td>\n",
       "      <td>8.720320</td>\n",
       "      <td>8.234060</td>\n",
       "      <td>9.242281</td>\n",
       "      <td>8.008033</td>\n",
       "      <td>2010-02-15</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2010-02-18</td>\n",
       "      <td>8.603895</td>\n",
       "      <td>8.072217</td>\n",
       "      <td>9.099928</td>\n",
       "      <td>8.045268</td>\n",
       "      <td>2010-02-15</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2010-02-19</td>\n",
       "      <td>8.525691</td>\n",
       "      <td>8.043981</td>\n",
       "      <td>9.029559</td>\n",
       "      <td>7.928766</td>\n",
       "      <td>2010-02-15</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2010-02-20</td>\n",
       "      <td>8.267478</td>\n",
       "      <td>7.788360</td>\n",
       "      <td>8.781412</td>\n",
       "      <td>7.745003</td>\n",
       "      <td>2010-02-15</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "          ds      yhat  yhat_lower  yhat_upper         y     cutoff\n",
       "0 2010-02-16  8.953995    8.456979    9.470567  8.242493 2010-02-15\n",
       "1 2010-02-17  8.720320    8.234060    9.242281  8.008033 2010-02-15\n",
       "2 2010-02-18  8.603895    8.072217    9.099928  8.045268 2010-02-15\n",
       "3 2010-02-19  8.525691    8.043981    9.029559  7.928766 2010-02-15\n",
       "4 2010-02-20  8.267478    7.788360    8.781412  7.745003 2010-02-15"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from fbprophet.diagnostics import cross_validation\n",
    "df_cv = cross_validation(m, initial='730 days', period='180 days', horizon = '365 days')\n",
    "df_cv.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The `performance_metrics` utility can be used to compute some useful statistics of the prediction performance (`yhat`, `yhat_lower`, and `yhat_upper` compared to `y`), as a function of the distance from the cutoff (how far into the future the prediction was). The statistics computed are mean squared error (MSE), root mean squared error (RMSE), mean absolute error (MAE), mean absolute percent error (MAPE), and coverage of the `yhat_lower` and `yhat_upper` estimates. These are computed on a rolling window of the predictions in `df_cv` after sorting by horizon (`ds` minus `cutoff`). By default 10% of the predictions will be included in each window, but this can be changed with the `rolling_window` argument."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "     horizon       mse      rmse       mae       mape  coverage\n",
       "1844 37 days 0.5090136 0.7134519 0.5128365 0.05930799 0.6733668\n",
       "2208 37 days 0.5079983 0.7127400 0.5118634 0.05919618 0.6758794\n",
       "2571 37 days 0.5072650 0.7122254 0.5107879 0.05906802 0.6783920\n",
       "2935 37 days 0.5069671 0.7120162 0.5104987 0.05903779 0.6809045\n",
       "3298 37 days 0.5069325 0.7119919 0.5103136 0.05901526 0.6809045\n",
       "3661 37 days 0.4851145 0.6965016 0.5029428 0.05843547 0.6834171\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%R\n",
    "df.p <- performance_metrics(df.cv)\n",
    "head(df.p)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>horizon</th>\n",
       "      <th>mse</th>\n",
       "      <th>rmse</th>\n",
       "      <th>mae</th>\n",
       "      <th>mape</th>\n",
       "      <th>coverage</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>3297</th>\n",
       "      <td>37 days</td>\n",
       "      <td>0.481246</td>\n",
       "      <td>0.693719</td>\n",
       "      <td>0.502428</td>\n",
       "      <td>0.058305</td>\n",
       "      <td>0.678392</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>35</th>\n",
       "      <td>37 days</td>\n",
       "      <td>0.480268</td>\n",
       "      <td>0.693013</td>\n",
       "      <td>0.501499</td>\n",
       "      <td>0.058195</td>\n",
       "      <td>0.680905</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2207</th>\n",
       "      <td>37 days</td>\n",
       "      <td>0.480201</td>\n",
       "      <td>0.692965</td>\n",
       "      <td>0.501401</td>\n",
       "      <td>0.058187</td>\n",
       "      <td>0.680905</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2934</th>\n",
       "      <td>37 days</td>\n",
       "      <td>0.480716</td>\n",
       "      <td>0.693337</td>\n",
       "      <td>0.502470</td>\n",
       "      <td>0.058323</td>\n",
       "      <td>0.680905</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>393</th>\n",
       "      <td>37 days</td>\n",
       "      <td>0.483237</td>\n",
       "      <td>0.695153</td>\n",
       "      <td>0.502886</td>\n",
       "      <td>0.058423</td>\n",
       "      <td>0.680905</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "     horizon       mse      rmse       mae      mape  coverage\n",
       "3297 37 days  0.481246  0.693719  0.502428  0.058305  0.678392\n",
       "35   37 days  0.480268  0.693013  0.501499  0.058195  0.680905\n",
       "2207 37 days  0.480201  0.692965  0.501401  0.058187  0.680905\n",
       "2934 37 days  0.480716  0.693337  0.502470  0.058323  0.680905\n",
       "393  37 days  0.483237  0.695153  0.502886  0.058423  0.680905"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from fbprophet.diagnostics import performance_metrics\n",
    "df_p = performance_metrics(df_cv)\n",
    "df_p.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Cross validation performance metrics can be visualized with `plot_cross_validation_metric`, here shown for MAPE. Dots show the absolute percent error for each prediction in `df_cv`. The blue line shows the MAPE, where the mean is taken over a rolling window of the dots. We see for this forecast that errors around 5% are typical for predictions one month into the future, and that errors increase up to around 11% for predictions that are a year out."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
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+OTkRBEFV1UQisejhAADATWJ6wdHtdt955523337bsixVVT/0oQ/5/f4ZjgyAZSMWi6mq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++8885sNkMVBg5uGUUXFxekfACshVeUdDodbsKiXGUwGEgmBFfXgE8KpFHgAnc6Hcmyh0hvc5O2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\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%R -w 10 -h 6 -u in\n",
    "plot_cross_validation_metric(df.cv, metric = 'mape')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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zW6pQ1b0rJwX068qzlPvbtUgW44nX67V10WDlfS/2GY1j+MWLF/OuFw6HpTAT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59mtwFKRlOpFJqbm9HX14eRkRGYzWaMjIwgl8tBq9Xi+efn8Vu/1f1A5DWRcMPvr+Dnf/6q8HU5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\nAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f00a5cf79e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from fbprophet.plot import plot_cross_validation_metric\n",
    "fig = plot_cross_validation_metric(df_cv, metric='mape')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The size of the rolling window in the figure can be changed with the optional argument `rolling_window`, which specifies the proportion of forecasts to use in each rolling window. The default is 0.1, corresponding to 10% of rows from `df_cv` included in each window; increasing this will lead to a smoother average curve in the figure."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
