python-pour-finance/08-Analyse-Time-Series/.ipynb_checkpoints/3-Décomposition-ETS-checkp...

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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"___\n",
"\n",
"<a href='http://www.pieriandata.com'> <img src='../Pierian_Data_Logo.png' /></a>\n",
"___\n",
"<center>*Copyright Pierian Data 2017*</center>\n",
"<center>*For more information, visit us at www.pieriandata.com*</center>"
]
},
{
"cell_type": "code",
"execution_count": 45,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import pandas as pd\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"airline = pd.read_csv('airline_passengers.csv',index_col=\"Month\")"
]
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>Thousands of Passengers</th>\n",
" </tr>\n",
" <tr>\n",
" <th>Month</th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>1949-01</th>\n",
" <td>112.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1949-02</th>\n",
" <td>118.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1949-03</th>\n",
" <td>132.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1949-04</th>\n",
" <td>129.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1949-05</th>\n",
" <td>121.0</td>\n",
" </tr>\n",
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"</table>\n",
"</div>"
],
"text/plain": [
" Thousands of Passengers\n",
"Month \n",
"1949-01 112.0\n",
"1949-02 118.0\n",
"1949-03 132.0\n",
"1949-04 129.0\n",
"1949-05 121.0"
]
},
"execution_count": 40,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"airline.head()"
]
},
{
"cell_type": "code",
"execution_count": 41,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x119e33208>"
]
},
"execution_count": 41,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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03ojAuPHWtEc+KjD6Kp+/JJfrzygmPs7ChigDQUaSDUdCXDgQDC/5oJQKjwpK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\nAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x119d35f60>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"airline.plot()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## ETS\n",
"\n",
"We can use an additive model when it seems that the trend is more linear and the seasonality and trend components seem to be constant over time (e.g. every year we add 10,000 passengers). A multiplicative model is more appropriate when we are increasing (or decreasing) at a non-linear rate (e.g. each year we double the amount of passengers).\n",
"\n",
"Based off this chart, it looks like the trend in these earlier days is slightly increasing at a higher rate than just linear (although it is a bit hard to tell from this one plot)."
]
},
{
"cell_type": "code",
"execution_count": 51,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"# Get data in correct format\n",
"airline.dropna(inplace=True)\n",
"airline.index = pd.to_datetime(airline.index)"
]
},
{
"cell_type": "code",
"execution_count": 52,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style>\n",
" .dataframe thead tr:only-child th {\n",
" text-align: right;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: left;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>Thousands of Passengers</th>\n",
" </tr>\n",
" <tr>\n",
" <th>Month</th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>1949-01-01</th>\n",
" <td>112.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1949-02-01</th>\n",
" <td>118.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1949-03-01</th>\n",
" <td>132.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1949-04-01</th>\n",
" <td>129.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1949-05-01</th>\n",
" <td>121.0</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" Thousands of Passengers\n",
"Month \n",
"1949-01-01 112.0\n",
"1949-02-01 118.0\n",
"1949-03-01 132.0\n",
"1949-04-01 129.0\n",
"1949-05-01 121.0"
]
},
"execution_count": 52,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"airline.head()"
]
},
{
"cell_type": "code",
"execution_count": 58,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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v07NTuOyIEs5fVDTsVtOBYIhX1jXxlw920GRxM7fQzDXLpmNK0ELpfLxdi4mb\nYojDFwzhD0oK05L4xpJiLjuipG99jDcQZFVNN+9vaWN7m4PvnzBj2KjUQ+Xhn1/Uce9727F5NOeK\nCxYX8etz544p4rRCoVBMRqKlpO4FjMCtUkp7OM2MFhbJ1X/900RgLp4pr/jD88zON7GsLHvIMDRS\nSjodPrKMhohNeN5AkFfWNfHoJ7vZHd7fJseUwEWVxSQnxNFp10ZUp83NY0FRakzmTrqdPh76706m\nZxu5eEmxmp9RKBQHFdFSUjvQIpHLvdLjgG1SyrL9zul+EGvvvlBI8tFX7fgCIU6cnRu13TkVCoXi\nUCdaAWbl3goqnBgUQkS2CvgARqcTnDh7cPBPhUKhUIwPoympLUKIb0kpn+qfKIS4DNgWu2xFxtq1\naz1CiM0TJD4VsE6Q7ClA/QTJVuUeXw7FMoMq90Qw3uWOaLvl0cx9hWhRJtxomxYCVKJ5+50npWwa\n7trxQAjRIaXMniDZj0gpr5kg2arc4y97Qsp9KJY5LFuVe/xlT1i5R2LEkVRYCR0uhDgBqAgnvyWl\n/CDmOYuMwYHdxo83JlC2Kvf4M1HlPhTLDKrcE8FElntYIg4wOxkRQqyJZOLtYEOV+9DhUCwzqHJP\ndD4mEwe6u9ojE52BCUKV+9DhUCwzqHIrwhzQIymFQqFQHNwc6CMphUKhUBzEKCWlUCgUikmLUlIK\nhUKhmLQoJaVQKBSKSYtSUgqFQqGYtCglpVAoFIpJi1JSCoVCoZi0KCWlUCgUikmLUlIKhUKhmLQo\nJaVQKBSKSYtSUgqFQqGYtCglpVAoFIpJy2g7805qsrKyZGlp6URnQ6FQKBT7yNq1azsj2eDxgFZS\npaWlrFmzZqKzoVAoFAclUkoae9xsbrayq8PJrnYHjRY3bTYPbTYPf//2Eo6anjWmewsh6iI574BW\nUgqFQqGIHjaPn6oGKxsaetjQYGFDg5VOh7fv+/zURIozkllQlEauOYEcU2LM86SUlEKhUByCBIIh\ntrXaw8pIO3Z1OOjdYnBadgrLyrM4rDiN+UVpzMgxkpIw/ipDKSmFQqE4yJFS0mRxs6HBwsawQqpu\nsuLxhwDITDGwsDiNcxYUsKA4jQVFaaQmx09wrjWUklIoFIqDBLvHz6YmG7s7HdR3u2jodtHQ7aau\ny4nNEwDAoNcxt8DMJUtLWDgljcOK0yhKT0IIMcG5HxqlpBQKheIAxBcI8VWrnQ2N2uhoY4OFnf3M\ndYY4HUUH+IOIAAAgAElEQVTpSRRnJLOwOI3yXCMLi9OZmWfCoD9wVh/FXEkJIeKANUCTlPJMIUQG\n8AJQCtQCF0kpe8Ln3gF8BwgCN0kp3411/hQKhWKyI6WkrsvVN3e0sdHC5mYbvsAec92C4jTOnF/A\n/OJUZuaayDUnEqebnKOjfWE8RlI/ALYC5vDn24EPpJR3CyFuD3++TQgxB/gGUAEUAO8LIcqllMFx\nyKNCoVBMGjrsXqrCI6QNjVY2Nliwuv0AJMXHMa8wlSuOLOmbP5rM5rr9ZVglJYQwD/cdgJTSNtrN\nhRBFwBnAb4Bbw8nnAMeF3z8J/Be4LZz+vJTSC9QIIXYCS4GVo8lRKBSKAxEpJR0OL1tb7GxtsVHd\naGVDg4UmixsAnYCZeWZOn5fHgqI0FhSnUZZjRB934Jjr9peRRlKbAQkItJGNPfzeCDQDxRHc/8/A\n/wCmfmm5UsqW8PtWIDf8vhD4ot95jeE0hUKhOODxBoLsbHewLayQtrVqr11OX985RelJLJySxreP\nKmVBcRpzC80kGw5t14FhSy+lLAYQQvwNeEtK+Xr481nA6aPdWAhxJtAupVwrhDhuGBlSCCH3JcNC\niGuAawCmTJmyL5cqFApF1AkEQ/iDEl8ghNsfpNvpo9vpo9nqprHbRV23i20tdnZ1OAiEtMedQa9j\nZq6JE2fnMCvPzOx8M7PyTKSnGCa4NJOPSFT00VLK63o/SCnfEEL8JpLrgLOFEKcDiYBZCPE00CaE\nyJdStggh8oH28PlNDBydFYXTBiClfAR4BKCysnKfFJxCoVBIKfEFQ/gC4SMYwuMPYXH5sLj8tNo8\nNPW4aba66XH6sLj9ODwB/ME953sDob7PoRGeQjoB+alJlOcaOXF2DrPzzczON1GamXJImez2h0iU\nVEvYweHp8OdLgbbRLpJS3gHcARAeSf1ISnmZEOL/AVcAd4dfXwtf8jrwrBDiHjTzYhmwKvKiKBSK\nQw2bx099l4vGHhctVg+dDi8ddu3odPiwuv19iqW/UhoNnYBccyKZRgNpSQZyTYkY9Lo9R9xer+H3\nCfE6MpINZKQYyEtNJD816YBy956MRKKkLgF+Abwd/vwJ8M39kHk38KIQ4jtAHXARgJRysxDiRWAL\nEABuVJ59CoUCoMvhZXOzjc3NNra02KjtdFLf7erzeOtFrxNkGg1kGRPINiUwLTtloCLR60iI05EQ\nHzcgPTFeR1qSgbTkeLJNCeSZE9VIZ5IgpDxwLWaVlZVSRUFXKA4u2u0eqhutVDVaqW6ysrnZSptt\nT5DTwrQkZuQYKc5IYkpGMlMykilKT6YgLYm0pHh0B8HaoEMBIcRaKWXlaOeNOpISQsxAcx8v7X++\nlPKU/cmgQqE4dOl1va7pcFLb5WR3p7YNxKYmG602D6CZ3KZnGzlqehYVBWbmFJiZk28mLVk5FxxK\nRGLuewl4HG1OSpnfFArFqARDkna7h2aLm8YeN80W7X2Txd2X5vAG+s43xOkozUrmyOmZzC1MZX5R\nKnPyzRMSdVsxuYikBoSklPfFPCcKheKAIRiStFg1ZdPQ7aKhx01jjyuskNy0Wj197ta9pCXHU5Cq\nxZI7YlomU7NS+o6CtKSDIoSPIvpEoqReC69NehXoMwxHEnFCoVAc2IRCkt2dTjY3W6lutLKt1U59\nt4tmi3uAEhIC8s2JFKYnUVmSTmF6EgVp2lGUlkR+WhJGNSpSjIFIas3V4def9UuTgFpJq1AcRASC\nIWq7nFQ3WalutLEp7LTg9GlW/gS9jll5JhYWp3Hm/HyKM5IpTk+mKKyQlKu1IhaMqqR6I08oFIqD\nB6vLz9ZWG1tbbH0her5qteMNR9VO0OuYU2Dm64uLmFuYyrzCVGbkGIlXbtmKcSYS774ktEjmJVLK\n68PefmVSyrdHuVShUEwwvkCIui4n29scYWVkY2uLvS+AKUB6cjyz881cdkQJs/PNzC00MyP70Api\nqpi8RGLu+ztQDXwt/LkZ+Bd7FvcqFIoJxukNsKvDwc72fkeHg7ouF8Hw3FGcTjAtK4VFJelcesQU\nZudrLt05poSDdpsHxYFPJEqqTEr5TSHEhQBSSpdQNVqhmBCklDT2uNnYaKG60cqWFhu72h00Wz19\n5+h1gpLMZMpyjCyfm8eMHCMzsk2U5RpJjI+bwNwrFPtOJErKJ4RIRHOWQAgxFfCNfIlCoYgGrVYP\nVY0WqhqtVDVZqW600OPSQgEZ4nSU5RpZOjVDU0ThoyQzRc0dKQ4aIlFSvwTeAYqEEE8Cx6Jt8a5Q\nKKKE3eOnptNJTaeTXR1OtjRrYYHa7dqqjzidoDzXxClz8phfnMr8wjRm5pmUR53ioGdEJRU2620E\nLgSOQtv08MdSyvaRrlMoFIPxBULUd7uo6XSyu8OhvYYVU4d9T2w6IWBaVgrHzMhiXlEq84vSmJNv\nJsmgTHWKQ48RlVR4U8L3pJRz2bOlhkKhGAKXL0CXw0eX00eH3Utdl5O6Lhe1XVp8uqYe94C9hzJT\nDEzLTuH4mdlMzTIyNSuF6dkpFGckq7kjhSJMJOa+DUKIw6SU62OeG4VikuELhOhweGmzeWi3eWiz\nae/bbF66nF66nb6wYvLi8Q/ep8icqGdqVgqHFadz7sJCpmWnaAopM4XU5PgJKJFCcWAxrJISQuil\nlAHgMGC1EGIX4EQz+Ukp5aKRbiyEKAaeAnLRnC4ekVL+RQiRAbyAFlW9FrhIStkTvuYOtPmuIHCT\nlPLd/Sue4mDE4w/SbvPSYnXTavPQavXQbvfi8gVx+wK4/UFcviAef5BASBLc69AJgU4n0Ou01zgB\nep0OnQ4EApc/iNMboMepjYr2Rq8TZJsSyDImkGk0MCPHSGaKgYyUBDJTDGQaDWQaEyjJSCYtOV65\ndysU+8FII6lVwCLg7DHeOwD8UEq5TghhAtYKId4Dvg18IKW8O7zj7+3AbUKIOcA3gAq0nXnfF0KU\nq40PDz18gRC7Ox1sb3NQ1+mkxeahzeqhxeqh1eahewjFkWyIIyVBT1J8HMmGOBLj40iM15EYH0ec\nThAnhPaqE0gJgZAkJKX22k+BSUKkJsVTmJZIapKBPHMiueYEcs2J5IRfM5INas8ihWKcGElJCQAp\n5a6x3FhK2QK0hN/bhRBbgULgHOC48GlPAv8FbgunPy+l9AI1QoidwFJg5VjkKyY/Dm+AFoubHe0O\ntrfZw4eD2k7ngOClGSmasshLTWThlDTyw++17bkTyTUnYkpUpjOF4mBkJCWVLYS4dbgvpZT3RCpE\nCFGKZjb8EsgNKzCAVjRzIGgK7It+lzWG0xQHEFJK7N4A7TYP7TYv7fbwfI59z/sOu5d2m6cvcClo\nHm0lGcmU5Zo4tSKX8lwTZTkmpmWnKCcCheIQZiQlFQcYCY+oxooQwgi8DNwspbT1t8+HvQf3af/6\n8LYh1wBMmaICsY83oZCk3e7t2zuooVt7bbRor202z5AOBEnxceSaE8gxJ1JRYOb4mTnkmhPIS01k\neraR6dlG5WKtUCgGMZKSapFS/nJ/bi6EiEdTUM9IKV8JJ7cJIfKllC1CiHygd81VE9A/4npROG0A\nUspHgEcAKisr90nBKYamd/RjcfrpcfnodvmwuHz0hD93OryaIupx09TjxhccqISyjAkUZyQxrzCV\nk2fn9s3fZJvCczmmBIwJeuVAoFAo9plR56TGSngh8OPA1r1Mg68DVwB3h19f65f+rBDiHjTHiTI0\n5w3FGAkENffpVquHNtsex4O28GunQ1NGFpd/0C6qveiENidUmJ7MnAIzp1TkUpSeTHF6EkXpyRSm\nJakRkEKhiBkjKakT9/PeRwOXA9VCiA3htDvRlNOLQojvAHXARQBSys1CiBeBLWiegTcqz77hcfkC\ntPYqnbAC6lU+vekddi976x5DnI7c1ATyzImU5xpJSzaQnhxPerKB1CTtNT1FS8tIMWBOjFeebAqF\nYsIQUh64FrPKykq5Zs2aic5GTPD4g31zPvXho/d9s8WNzRMYdI05UU9e2NstPzVRc5/u5wGXZ04k\nI8WgzG4KhWLCEUKslVJWjnZeJBEnFFEmFJJ0Orw0Wz20WNx9ry1WD81WN80WN20274BrEuN1TMlI\nZkpGMkunZmgu2L2u2OHXZIP6OxUKxcGFeqrtB1JK3P4gPS5/39yOxaU5G1jdfnqcPnpcfqxu38Bz\n3P6+jeh6SYzXUZCaRH5aIsvKsikOK6Te1yyjGgEpFIpDj0NSSYVCkrc2teALhLQjqL16w5/9wYHp\nvkAIbzCE1x/C5hmokPb2dOtPsiGOtKR4bd4nJZ5ZeWbSkuNJS44nz5xIflgpFaQmqfA5CoVCMQSH\npJISAr737PDxcuPjBIY4HfF6HYY4HQZ9+IjTkZoUz7QsY1jZGEhLjic9OZ7UJM3ZoNcRITU5ngS9\n8npTKBSK/eEQVVKC925ZRnx/BdSrkOJ0yptNoVAoJgkHtHefEMINbJ4g8amAdYJkTwHqJ0i2Kvf4\nciiWGVS5J4LxLneJlDJ7tJMOdCXVEUkhYyT7ESnlNRMkW5V7/GVPSLkPxTKHZatyj7/sCSv3SOgm\nOgP7iWUCZb8xgbJVucefiSr3oVhmUOWeCCay3MNyoCupiRqSI6WcyD9UlXucmcByH4plBlXucWeC\nyz0sB7qSemSiMzBBqHIfOhyKZQZVbkWYA3pOSqFQKBQHNwf6SEqhUCgUBzFKSSkUCoVi0qKUlEKh\nUCgmLUpJKRQKhWLSopSUQqFQKCYtSkkpFAqFYtKilJRCoVAoJi1KSSkUCoVi0qKUlEKhUCgmLUpJ\nKRQKhWLSopSUQqFQKCYtSkkpFAqFYtJyQG8fn5WVJUtLSyc6GwqFQqHYR9auXdsZyQaPB7SSKi0t\nZc2aNWO6dleHgwS9jqL05CjnanQ2N1vJNSeSZUwYV7lSSjY2WpmWnYI5MX5cZXsDQba22JmVZyIx\nPm5cZds8fuq7XMzMMxEfN77Gg3a7h26nj/IcEzqdGFfZDd0uAiFJaWYyQoyv7B1tdoyJevJTk8ZV\nLsCmJisFaUlkpBjGVW4wJKlqtFCWa8KYML6PVrcvyPY2OzMnoH1ZXD4ae9zMyjOh34f2JYSoi+S8\ncfklhRB/B84E2qWUc4f4/lLgNkAAduB6KeXGWOXH6Q1w+l8+xRsIUZiWxEmzc/jfsyrG5SGyo83O\nGX/9DIDp2Sl8fXERNxw3I+ZyAd7b0sY1/1yLTsCcAjNXHT2V8xcVjYvsJz6v5XdvbyM+TrCgKI2b\nTyrnmLKscZH9mze38sKaBpINcSwuSecnZ8xmVp55XGR/75n1rKrtJjUpniOmZfCrc+aSY06MudxQ\nSHL+QyvosHvJMSXwtbJsfnPe3HF5gHU5vCz/y6cEQpIpGcksn5vH7ctnjYui3NBg4dwHPgdgZq6J\ni5cUc9UxU2MuF+CNjc3c/MIG4nSCuQVmrlk2nTPm54+L7If+u5O/frgTg17HYcVp/OjUmSwpzRgX\n2T/9v028WdWCMUFPZWk6Pz9zDtOyjVG7f8RqTwixaKRjlMufAE4b4fsa4Fgp5TzgV8R446919T14\nAyEuP6KEovQknlxZR123K5Yi+1i5uwuAG4+fTnycjnv+sx1fIDQuslfs6iIpPo7vnVBGj9PP/R/u\nHBe5AJ/v6qI4I4mrjp7KjnYHT6yoGTfZK3Z3sqA4jQsXF/HF7i5eXts4LnJdvgDr6ns4YVYOJ87K\n4d3Nbby/tX1cZO/scNBh93L+okLmFqby8rpGNjSMz87kq2u7CYQkVx5dSpbRwMOf7KbD7h0X2St2\ndQLwgxPLCErJPe9tZ7z2zPt8ZyepSfHccNx0Wm0e/vbxrnGRC1r7mp6dwreOKGFzs41/roxokLLf\nSClZuauLpaUZnHtYAR9v7+D1jc1RlbEvto8/jXD8caQLpZSfAN0jfL9CStkT/vgFENPu/eraHnQC\n/ue0mdx5+mwAvmq1x1LkANl55kR+dMpMrj12GoGQpLbLOU6yuzlsShq3nlzO1xcVUtvlxOMPxlxu\nMCRZV9fDsrJs7jh9Nl8ry+KrtvH5vVutHhq63Zw1P59fnDOXshwTX7U5xkX2hgYLgZDk8iNK+OOF\nC0g2xLF9nMq9ulZrbjedUMZvz5sHMI6yezDoddy+fBY/OmUmwLj932tqe5iencItJ5fz7aNKcXgD\nNFs94yO7roclpRn88JSZnDGvgB3tdkKh2CtIjz9IVaOFk2bn8tMz57CkNH3c/uvdnU66nD7OX1TI\nr8+dR0lGctRlR6ykpJTHj3CcEMU8fQd4e7gvhRDXCCHWCCHWdHR0jEnA6ppu5hSYMSXGMyNHG5bu\nGIc/VUrJ6ppulkzNQAhBWY4JGJ+Hh93jZ2uLrc8EUJZrIiS1ublYs7XFhsMbYOlUTXZ5romGbjcu\nXyDmsnsf1ntkG8flvwZYXdODELCoJB2dTlCWYxw/RVHTTbYpgZLMZHLNCZgS9eOqIBcWp5Ggj6Ms\nt7eOx76ehUKSNbXdA+qZJjv25W63e6jpdLJ0anpYthGPP0RDT+wtNBsbLPiDsq9tl+ea2N3hJBCM\nvYVmdY3WvpZM3fNcifZ/PaZZZCHEXCHERUKIb/Ue0ciMEOJ4NCV123DnSCkfkVJWSikrs7NHdQwZ\nhD8YYn1DD5Ul2o+akqCnKD2J7e2xb0SNPW5abR6WlGoVeUaOEZ0Ynwa8rt5CSNJXkWfmaQ14xzjI\nXhNWFJWlexQFwM5x+M3X1HaTbIhjTr42B1WeZ6LF6sHm8cdedl03M3NNpCZpTiqxaMDDsbq2hyWl\n6QghEEJQPk6ynd4Am5ttfXU8y2ggI8UwLh2D7e12bJ5AX9vurWfjIXttrWYI6qvjeeOnnNfUabIX\nl/QqSBO+YIjartgryNW1PWSmGJiWlRKWbaS20xnVKYx9VlJCiP8F7gsfxwN/AM7e34wIIeYDjwHn\nSCm79vd+w7GpyYrHH+rrbYE2wToeFbm3V9+rKBLj4yjJTBkf2TXdxOkEh01JA6A0MwW9ToxLL3N1\nbQ+FaUkUpmmeXuXj2LteVdvDoinpfV5H5Tnjo5wDwRDr6noG1bNOh5cepy+mspstbpos7gET5+Xh\nOh7r+Zn19RaCoT29es1iMD4jyN5efe9vnpZsIMeUME71rJvEeB1zC1IBKAtbaMaj3KtquinPNZIe\n9mbsbV/j9UyrDHeGemUHQpKazuhNYYxlJHUBcCLQKqW8ElgApO5PJoQQU4BXgMullNv3516jsbqv\nV5/el1aWa2JXhwN/jIfHq2u7MSXq+yoRaJV5POz1q2u7qSgwkxJ2jTXodUzNSol5A5ZSsipckXsp\nyUzBoNfFvAFb3X62tdoGyB4vE9CWFhtOX7CvZw1Qljs+D669O0Og9XB7XH46HLF1YFhd291n4twj\n28SONkfMFeSq2h5yzQkUpe9xe9dGkOPTvhYWp2HQa49UU2I8BamJMZfdO9/bv57NyDEixsFC02bz\nUN/tGtQZgujOQY5FSbmllCEgIIQwA+1A8UgXCCGeA1YCM4UQjUKI7wghrhNCXBc+5edAJvCgEGKD\nEGJsi58iYHVtD6WZyeSY9rgBl+ca8QcldTF2YFhd20NlSTpx/Vzdy3NN1HW58AZi58DgDQTZ0GAZ\n5JJanmtiR3tsG1F9t4sOu3eA7DidYHp27HvX6+p7kBKW9pNdlJ5EUnzsHRhWh80/S4dowLE2La+u\n7caYoGd2/h43+z2969jLnp1nHrAOrzzXiN0boCWGDgx9872lGQNc3ctyjexoc8TUgcHhDbCl2Tbg\nv9Zkx97Euq3Vht0bGCA7yRBHcXoy22PctofqDE3LTiFOJ6I6ihuLklojhEgDHgXWAuvQFNCwSCm/\nKaXMl1LGSymLpJSPSyn/JqX8W/j7q6WU6VLKheGjcgz5GpXeidWhHtYQ255Ht9PHznZH3wRjn+w8\nE8GQZHdH7BTkpiYb3kCob56gT3auifpuF25f7BTkqr1MMHtkG2P/wKzpRq8TLAybOAHNgWGcZBdn\nJJGXuqczlJ+aiClBz/YYe5Kurulh0V6dofEYxfmDIdbXW4b4r2M/eu2d7x1KttsfpMnijpnsdXU9\n2nzvXrJn5mkWmmAMFeSavrmwwW079vVMm++tKNjTGUrQx1GSGV0Pv31WUlLKG6SUlrCCORm4Imz2\nm/Ts7nTQ4/IPUlLTs3uHx7H7U9cM0euAPZO7sZS9ei/Hhf6ypYytA8Oa2h5Sk+KZsdfivvJcE00W\nN/YYOjCsqe2hojCVZMPANetlObE1AUkpWVPXzZKSgb+3EIIZubEdQVpdfr5qs7OkZOBDK9uYQFpy\nfEw7Ypubbbj9wSEfmBDbUdyaunAdLxn/9rWmthudgMOmDCx3WY4RXyAUUwvNqtpuClITB0XOKc81\nUhNlB4a9WV3bw2FT0gZFmSjPMUX1vx6rd1+hEOIoYAqQJoRYFrUcxZBVNVqvY+8eT5IhLib+/f1Z\nXduNQa9jftHA6bupWdrwONaNaFpWyqAwTGXj0MNdXdvNktL0QdE8+h5cMVKQ3kCQDY0Wlu71wNRk\nG2m3e7G4YuPAUNPppNPhG1TPIOykE8tOQd1Al+Be9nj4jX9HLD3FQJYxIaZzr6tqejAl6vu8Vnsp\ni8EcySDZtd1UFKQOCoUU6xGklJplaO/OZ6/sWK7BtHn8bG21DRnVojzPFNU1mGPx7vs98DnwU+DH\n4eNHUclNjFlbp7lLlmYOjtcXa/vx2roe5hemkqAfGJYmQR9HaWZyzGRLKVlb19Pnntqf0sxkDHG6\nmNmuu50+dnc6WVwyVCOKrXvwpiYbvkBoGNmxNe+uDbsEVw7xm5flmuh2+uiMkQPD2roe9Dot9NTe\nlIdHcbFyYFhb10NxRhK5Q4R9ivX6tHV1mhdn3F6dIXNiPPmpiTEbxQWCITY2WIdsXzP6PPxiI7vJ\n4qbN5h00coXYm3c31FuQcvDIFbT/OpprMMcykjoXmCmlPF1KeVb42G8X9PGgusnCguK0IWOIxcK/\nv5dAMMTmZhsLigc/OECzXceqATf2uOlx+YeUrY/TMS07JWYNuLrJCsCC4sHOn8XpySTG62LWgKsb\ntRBAC4co9541LLH5zaubrKQY4pg+RPyyWJufqpuszMwzkWQYHKOvPNeE3ROgzRYbBVnVaB1SOfbK\n3tEeGwcGly/Ajnb7sO2rLIYjyJ0dDtz+4JD1LCVBT3FGUuz+68Zw+xriN5+eHds1mL1te17R4LYd\nbfPuWJTUbmB8Q2hHAac3wM52B/MKh/aWj4V/fy/b2xx4A6FBpr5eynJM1HW7YhKiqCpckYeTXZ5r\nillIqKpwrLi5Q/zmOp1gRgzXz1Q1Wsk2JZBrHhxpviA1EWOCPmYdg42NVuYWpg4ZsLhvFBeD31xK\nSVWjdcR6BrFRkF0OL00W94j1zOWLjQPD5mYbIQnzh2vbOUZ2tsfGgaGqYfiHtSY7uvMz/dnYaCU+\nTjAr3zTou8T4OEozU2LmPLGxwcLUrJS+her9ifYazLEoKRewQQjxsBDir71HVHITQ3or8lC9etjT\ngGNhu65u0h7W80foZcbKgaGq0YIhTjfIVr9HtpEmixunN/ohiqqaRt4WpDyGDgxVTVYWFKUOOWoW\nQlOQsfivfYEQW1uGHzXnmBIwJ+pj4oZe3+3C6vaPUM9iN4rb0xmaSNnDK0hvIER9DIJIVzVZMCXo\nmZqZMuT3ZbkmdnfGZg1mVaOFWXnmQVMIe2QbY2bKr24avjO0Zw3mxCmp19Eila9Ac0HvPSY1VWHz\nz7zCoRtRLPz7e9nYaMWUqKckY+i9q2bmxbYBz8o3DVuRY+nAUNVoGbZ3C5rZrc3mxeqOroefwxtg\nV4dj2P8aeqOMRL/M29vs+AKhYUfsQoiYmXc3hh/Ww8nONCaQZTTErJ4JMfSoGYhpDL+qRgt55sRh\nt0CJpXm3aoRRM2ht2x+U1EbZQhMKSaqbrMOO4ECr47FYg9lu99Bi9Qxbz0D7zaP1X4/FBf1J4Dn2\nKKdnw2mTmqpGKwWpiWSbht5oUBseJ7MtBsPj6rAJZriKXJKZgiFOF3WzWygk2TRCjwf2xPDb1mKL\nquw2m4c2m3fYnjVojQiiH4F+U5MVKWH+MKNm0BpRl9MX9S0kqkaYJ+iTnWtiW2v0HRiqGy0Y9MOP\nmntlx8K8W9VoYXq2cdjN/lKTNAeGr1qjW89gT/sajrJwBIZol1vbyNM2cj0L1/FoP1dqu5zYPQEW\njFDu3jWY0e6M9c2FDWMtAK1tN/S4omKhGYt333HADuAB4EFg+4Hggj5arwOgoiCVLc3RbUTeQJBt\nrbYRe/XxYXPc5ijLrulyYvcGmD+C7OL0ZEwJ+qjLrh7FBAP0LQLc3GyNjewRenoxk91kITUpnuKM\n4XekrShIxe4J0NgT3fmZqkYrc/LNI+4+XFFgZmurParmJyklVU3WEX/vXtnRrmc2j5/dnc4R61lK\n2BwX7f96e6sDf1CO2L7KckzEx4not69ex4URZFeE4whG+5lW1WjVNk7NH37j0IoCM1JqOyDsL2Mx\n9/0JOEVKeayUchlwKnDvfuckhljdfmo6nSP26gHmFpppsrjpjmIA0G0tdvxBOWKPp1f2pmZrVHvX\nvSbOkXp6Op1gToE56g24qtHStwPwcOSYtZHtpqboNqKNjRYK05LINA49aoY9+Yr2w2Njg9arH2kX\n2rmFmuxNTdH7zYMRjJo12an4AqGobtHSavPQYfeOKruiIJVdHY6obtGyqdfEOUrbrihMjUk9g5E7\nYr0j22i3r40NVhL0ur65vqEoyUjGmKCPSduekWPsiwM6FL1m32jU8bEoqXgp5Ve9H8IBYUf09hNC\n/F0I0S6E2DTM9yLsgLFTCFEVwU6/+0TvDxVJI4Lo9q6rRnDV7M+cglQsLn9UvZ+qGq0kxusGRXvY\nm4qCVLa02KLq/VTVZKU81zQo2sNg2dFXkCNN6vZiToynJDM5qorC4w+yvc0+quzyXBN6nWBTFMtd\n03C/eGMAACAASURBVOnA6QuO2hHrHUFG84FdFamiKDATkrC1JXqmr972FckorsnijmoE+upGK+nJ\n8QMC2g4pOz81bIKOXvuqbrJQUWAeFO2hPzqdYE6+mU1R7IhJKcPta+T/OsekzX9GQ/ZYY/c9JoQ4\nLnw8BowWEPYJRt4+fjlQFj6uAR4aQ74IhiQrdnUOWouxsc9pYvSKDGPrXbt8AdbWDd58uKrBQmaK\noW+biuGYux+yuxzeIR/0VY1W5hakjliRQevZe/whdo+hd93Q7Rrktt/rCj3a7w0wtyCVHe2OMbnf\nb2u10W4fGLTU4vJR1+UatRH1yh7rSGpdfQ+OveztW1psBEJyRBMMaPOfM3KMY5Ldu1333uv5NjZE\n1hGbmmUkKT5uTB0DfzDEyl1dgx62VY0W4nRiQAy3oejtXW8Zg2y7x8/6+p5B6VWNFoozkvq2qRhW\ndq/pawzmp3abh21DzKVtbLQwv2jodZcDZBea6XH5xxRgt6bTScNeXomBYIhNTbaI6nhFoZktzWPr\ngG5qsg6yKjVbPXQ6fKPWMyEEFfvRvvozFiV1PbAFuCl8bA6nDcto28cD5wBPSY0v0EIt5e9rxt7f\n2sYlj37J79/dNiC9utFKSWYyackjV+S0ZANF6Ulj6l0/uaKOrz+0kudX1Q+UHZ4LG60iz843E6cT\nbB6D7N+/s41z7v+cz3d29qVpC4hHn4eDfkPzMTw8bn1xA+fc/9kA9/lek+n8ESZW98g2EwzJfZ7U\nllJy2WNfcsFDK+nqF72hOsJRM2gNuL7bhdW1b96F3U4fFzy0giv/sWqA59SeCeXIfvOx9K43Nlr5\n5qNfcNvLVQOurW6ykjzMAuL+xPWad8cwknpjYzPffPQL7vtw54D0qkZt1JwYP7QHaS/5qYlkpBjG\nNIp75JPdnPfgCl7f2DxIdkQP64Kxm1h/8cYWzr7/875IIgBuX5Ad7Y4I69nYTV83PLOOcx/4fICi\n2tXh5P+zd97hcRXXAv/N7qqXVe/NVrFsy71XqsH0HiCEXgKBkEDqewmBFxISEpIAgcQ4FNNrSOgG\nA8YFdxV3Wb1LVl31smXeH3d3JVltd7Va2XB/36dP0pZ7ZnbvzJlz5pwz3UazQ7Kz4vR0G82UNjq3\nADWZLVyzfhdXP7NzUPTtwarR02kGyY4PpvB4+7jzP12J7uuVUv5VSnk5cBvwhZRyvCFS8UDlgP+r\nrI8NYbTj42030TNbSnh9gLJwdFUPrm/u2qyoX/33ENsLFWXR1Weyun/G/kJ9vbSkRga4ZB7vK2/B\nZJHc+Uo2Rda8CMU6sYwaZWZjakQAPjqN0xNXn8nC/qpW2npM3Lxhj11ZHHAgcMGGzcXqrIIsa+qi\nsaOPiuYu7ng52z4QbLJHCoUeTvbhWudk51UqVa/3lrXw83f6lcX+KgMRgT7EjBAKPZCsuGAaO/qo\ndzK60FYf7z+51TzxRaH98f1VBrLi9EPKAg2HzcXqbPUH2wmwf91UwHt51UC/+2esPVewra6DXVoM\n2ap9//Tt/fax1tTRS1VLt0P3WajVm+Ha+Gqmz2Th9pf2UWE97fZIbStmi3RobE+PCUYjcFp2e49y\nHlpTZx83b9hrVxb7nVAUM+Nd89Dk17XT0WuisL6Du1/NsQfa7K9qRacRZI4SQWqXHafHZJHjDv0f\nfcNgGIQQX6GcxKtDCUGvF0LskFLeN66WOIiUcj2wHmDhwoWDRllehYHZCXrCArz59X8PUdHcRUVT\nF9WGbm5cnuzQ9bPi9Hx6+DjtPUaCRkhCHaZN5FUaOGdGNBXNXdz1SjY3r0ght9Iwaib8cLK3D7CG\nHKG1y0hJQyfXLk5i05Hj3LxhLxfPiWN7kXK4sSOWlE6rYXqs85PH0VqlPt73V09lw44ybn1xH4tS\nQvkyv37ETPgTSQj1I9hX5/TqOq9SmbTuPTONJ78s4gev5pAQ6sdnh4+PmAl/Inb3bnUby1MjHJdd\noQSF3HV6Kk9vLkan0aDTCDYdOT7kPKMRZQ9YXQ9X625E2ZUG4vS+LE+L4PHPC2nrNtHc2cuh6lZu\nWJbi0DWy4vS8tLOcsqZOpo5heQ2SXWFgyZQwJPCztw9QcLydwuMdGLqMDt1noExcz20voc9ksR8Q\nOBZmi+RAlYGL5sRxqLqV21/K5ntLkthjVdiOyw522lNR26rUx7txWTL/zavh5g17OGdmDFsLlAWy\nI9aMn9XCdVb2wSolleKu01N5dlsJt7+0j6w4PV/kHyfQR2c/sn000iID8dFpOFTdyiVzh133D0ue\ntVrMvWel8+QXhfzwtVzCA7359PBxpsWMbTVDv4vVUdfkSLji7tNLKduAy1FcdEtQTuodD9UMPjgx\nwfqYwxjNFg5UG1iYHMbfr51HZkwQ//yqmP1VBi6YHctFc+Icuo5tBe7M5m5VSzeNHX2syojkuZsW\nEeCj4++bi6gxdPOdhQksTwt36Doz4/XUt/cO2WcZjTzrquqi2bE8d+NCmjv6WLelBKPJwh2rpzp0\nI4Nimh+ubnNqdW3bI7hpRQqPXz2Xg9WtvLiznCBfL36xNnPEBOKBCCHIitc7vU+RW2EgwFvLj87O\n4BdrM/kyv55/Z1eRHO7PfWsyHLpGRKAPsXpfp/dnciuVTP+fnjONaxYl8u+cKj47Use8pFBuXzXV\noWtMjw1GCOdXuLkVBuYlh/LIZbNYkRbO81+XsqukmdOnRXHt4lHPHrXjyuq6q89Efl0bS6aEsf76\nBSSF+/P05mKOHW/nkrlxnDszxqHrZMUHYzQ7t7ourG+ns8/MmZmRPH/TIgTw981FNHX0ce3ipGGL\nuw4vW09pU+eQvcTRyK1Qxtfl8xN45voFVLV086+tJQgBPzwzzeEFRla88/szuVZFcefqVP5w+Wz2\nlTXz2p5yIgJ9+MV5mSPmXQ5Ep9WQGRvs9CIwt8JARKA3952dzr1nprHxcB3v59WQER3IvWelO3SN\nxDA/gnzHH13otCUF6Kz7Rd8BfjUu6f28D9wjhHgDWAK0SilrnbnAsbp2eowW5iWFEOTrxfv3rKS9\nxzjmPtSJDPRdn3iA2kjkWCfreYkhxIf4sfXnZ9BrMjtsiZ0o+3BNG1HTHLv5cytaEAJmJ4YQ6KNj\nz6/ORqsRDq10BsvW88quCipbukgeocTLENmVSqZ/rN6P2Fl+5KZH4OelHTVPZ3jZwby4sxyj2eLw\ne3MrlGLBWo3grtNTuXZxIsG+Xg4N3BNlO+OGsVgkeRUGLp4bhxCCP14xm5+vzSTU38shC8pGoI+O\nKREBTu1T1Lf1UG3o5uYVKXjrNLxy6xJauoyEjRE0cCK23J1DNa0OL94OVLVikcqZSSH+3mz80So6\ne83o/Z29x/sjaB1xyUK/opiXGEpKRABf//JMzBY5agj08LL7c3eGO2JieNkteOsUT4O3TkP2A2vQ\nuTS+gvlPbjUN7b0jFhQYTnZqZAB6fy+uXJDAmhnRBHhrxwyEGk72h/trkFI6fI/mVrYwNzEUIQT3\nnzONm1dMQe/n3Pjqd++OL3jCFUvqt8CnQJGUcq8QYipKcu+IOHB8/McohWuLUE78/YGzjbKt6m3V\niLUa4bSCggG5O05o/7xKA75eGruf1luncVpBwYDcHScmrtwKAxlRQfZM/wAfndMDCPpNc2dWe7kV\nhkHVn4N9vZxWUNCfu+No7cIeo5LpP1B2iL+30woKnM/dKW7ooL3XNEh2WIC3UwrKhrPRhbaV9Tzr\nScNCCKcVFAzI3XFidW1TFLYqAzqtxmkFBf25O86s7HMrWgj1V1IGQNm/dVZBgWu5O3mVBrLigu2u\nyUAXx5ez6S1SSuv46rcS9X5eTisoUO6zNieSx21bCPMGnGgdGuDa+MqK05Nf24ZpHMnjrgROvC2l\nnC2l/IH1/xIp5RVjvGes4+OllPJuKWWqlHKWlHKskPYh5FYqm9Zj5Sw4QlZcsFNZ2rkVBmbHDz2h\n0lmCfb1ICfd3eOKy7YUNvJlcJSMmUMndcXAAN3X0UtHc5RbZM51UkIeqWzFZ5JCTUF0hK15vXV07\n5n7qVxTjl+1s7k5epQEvrbB/XuNBUZCORxfmVbaQEu7vklIciCvJ43mVymLIlYXAQJTcHR+H7zOj\n2cKBqla3fNfOJo9XtXTT1NnnlvHlbPK4bQthngPRuWPL1tNrslDc4HrtQlfKIvkKIe4WQvzDmqT7\nvBDieZdb4CbyKpTJerw3MiiTpqO5O70mM0dq2txyM9lkO2rFlTZ20tptdItsH52W9Oggh03zPDdO\n1lMiAvDz0jo8iGyr+uHO8HEWZ8sj5VYYCPZ1bNN6LGwre0cnrtyKFmbEBru0kj+RmXFK7k6NA7k7\nUkpyKgxu+a5tsh1NHm/rMVJY3+EW2Xb3k4P32bG6dnpNFrfcZ3o/L5LC/B2+z+xbCO5YgEYHoXUi\neXzgFsJ4GU/ovw1Xlv4vAzEo5ZC2oAQ5TNyRm6PQa01obLGeAOuOmwn6c3dGSvyTUtpDMo/UtNFn\nds+NDMqmdmVz94hHm5st0m4690/W7pk8sqwDeKTVtdFssQdW5FYoCZyOhvaPhi135+AoN/LA5NXc\nyhYSQv0c9u2Phi13xxa6PqbsihbmJIa45Po4EdsAPmA9ymU02Sbrqt5995nyvdnyXk5ESmmXXdOq\nlD1y2/iK09NjHLk0k8XSP74OVCoRbu4c26MtQM0WaVeeuW5UFDbZo91nRrPFPvZyKwz4eWntRZjH\ng6+XlvSoQA6O4mIdfI8P3kIYD1MjleTx0cb2WLiipNKklA8Andbq5xegBDt4nML6dnYUNfabp266\nmWyTvk0J2GjrMfL89lLO/MsWVj76JYXH2/s3dd20yrQNxhNl17f18PjnBSz7wxdc+PftNLT3klvZ\nQqCPzn5M9bhlJ4XQ3Nk35Nyd0sZO/u+Dw8z/7SZufGEP3X1mcitbyBzhBFiXZCeGcLC6dUglhYNV\nrfzkrf1kPfQp//PuQSwWxVfvrs9bCMHcxJAh1QyklGwvbOT2l/Yx4zcbWbelmM5eJe/NXbJD/L2Z\nEhEw5Ls2mS18fLCWq5/ZSdaDn/LhgRoKjnfQ1Wd2m2ylEK0YIru7z8wbeyo4/8ntLPzdJrLLW9w+\nWc9Nst3jgz9zQ1cf67cWc9pjmznjsa8ob+q0v2a0ittOyU4MtYa0D540a1u7+fOn+Sz+/edc/o+v\nMXT1WSPcfMasFuO47BCqWrqHVN4vPN7OA/89xNz/+4zvv5xNr8lMbqWBWQljV4txlHlJIeRVtAyK\n3pVSkl3ewo/eyGXmgxt5+MMjSmCQm7YQQFmAzkrQD/munYmwdEVV2tKPDUKILKAOiHLhOuPGW6vh\n5g17WTI1HI1wLLnNEWL0vsTpfcmpaOFWpgDQ2NHLOX/bSnNnH/OTQujoNXHtv3aRHB5ArN6XGL3j\nuS6jMSchBI1QzP0zMpWP9XBNK5f9Ywd9Jgur0iPYV9bCtf/ahcUimZPoWAKnI8y3ToDZ5S32CL/P\nDtdxx8vZ6DSClekRbClo4NYX93KwqpVL5jkWGeao7Oe2l3JkQEDE+q3FPPJxPv7eWpZMCeP1PRU0\nd/ZS29rjFn95v+wQvsyvx9DVZw+2+d//HOT1PZWEBXgzLymEP36ST055izXCzX2y5yWFsLWgYVDk\n1XXP7mZ3aTMJoX6kRQXyozfyOGNapP317sDXS8vMOL3drQRKQMo5j2+hsrmbzJggQvy9ueG53cxN\nCsFHpyEzZvSyR44yNSKAEH8vsstbuHpREqBUKVn7+Fbae0wsTgmjsL6da9bvIjLIh7SoQIfy3hzB\n9vnlVLTYo3ezy1u4+pmdmKVkVXoku4qb+O6/dttd6e7YQoD+8ZVT0WIP2f9vbjU/fjMPb62GZanh\nfHbkOHe+nM3RmjZuXpniFrmgLKJf31NJcUOH/Wyvxz8v5IkvCgny0bEoJYzntpdS1dLlti0EG/OT\nQnl2Wwk9RrPdVX3Lhr0Ov98VJbVeCBEKPIASOh4I/MaF64ybqZGBxEQEsLWggcwY95inNuYlh5I7\noAzKl/n1NHf2seHmRZw+LYrihg6uXb+L7PIWzp/lWI6IIwT46MiMCR40eXywvxaLRfL5/aeRFhXI\nrpImbtmwl64+M+fPcrp61IhkRCufYU5FC5fPTwDg3zlVxOp9ee/uFUQF+/Kf3Cp+8tZ+ZbJ2k5sR\nYH6ydfIob7Erqbf3VTEvKYQXb1lMsK8Xj39ewOOfK4Gk7h5EoARFnDEtil6Tmf/m1nDh7Fgeu2oO\nXloNP317P//JVVL35rppMWST/W5ONZXN3SSF+1PZ3MXu0mbuPiOV+9dMo8do5uYNe/n8aD1hAd4k\njXBwpquyX91dbk+s3VXSRGVzN3+6YjZXLUygvr2Xa9fv4uuiJhYmhzqcfDsWQgjmJYaQM8CK++xw\nHe09Jt65cxkLU8I4WtvGdc/u5kBVK1ctSHCLXFBy45LD/ckZMLbfy6vGS6th832rSQzz56tj9dzx\ncjZ9JgvXLU1ym+yseD1eWjFISb2TXcWUiADeuXMZ4YE+vLq7nF/9R6nD7dbxNUBBpkcHIaXknewq\nVqSFs/76hfh7a3nk46P8a1upIttNFrsiOwST9ZDGRSlhtPcYB33+Y+FKdN+zUsoWKeUWKeVUKWWU\nLUrP0+g0gtduX8qKtHAum+d4NrUjLEgKpaa1hzrrxvK2wkYig3w4LUNZ0aZGBvLm95cxMy6Yix3M\nNXFYdnIoeRUGu298W2ED85ND7W69pVPD2XDzYtKiAh1OonQErUYwJ1FPTrkyeZjMFnYUNXH6tEj7\nqaeXzUvgb1fPJTMmiJXpjldpGItYvZ/degXF/VJY38F5WTH24+d/bE3cnZ8UMuoRIM4yJ1GxXm2L\nkuzyFrqNZi6ZG4+vlxatRvDYVXO4fmkya2fGjFnM1BkGTh4AWwuVSgaXz09AqxEE+OjYcPMizp0Z\nzeXz4t22qgflPuu1HncPyj3urdNw0RwlByw62Jc37ljK4pQwLnHz+JqfFEpRfYe9buK2wkamRASw\n0Jq/ND02mNduX0JmTBAXunt8JYWSU2Gw7/9sK2xkWWo4idYFwOnTonj2hoWkRQWyZnq02+TarNdc\n6/jq7jOzp6yZMzOj7MfKXLckmUevmMWM2GCWOJin6QhTrVVYbGO7pLGTakM358+KJcBHhxCC/z1/\nOveemcbiKWFj1oB0hvnWZGubYtpV0ozJiaIBrpRFigYeAeKklOcJIWYAy6SUzzl7LXcQFuDNq7ct\ndft17R+sddWzvbCBMzKjBk0SUyIC+OjeVRMgO4SXd5VTcLzdHjL7s3OnDXrN4ilhfH7/ae6XnRTK\n05uL6Ow1cbS2jfZeE6vSIwe95pK58U6VWHGUecmh9j2SbQVKeajVGYNl33V6KnednupWuf3WqyJ7\na0EjOo1gWWp/pRCtRvDwpVlulQvKycgB3lpyKlq4dF48WwsaiA/xGxQ96O+t45nrF7pdtt16tQaD\nbC1oYMmUsEH7jFHBvrx157IJkG2zXltYlhrOzuImrlo42GLKjAlm44/df57qvORQ3s2ttucNlTZ2\ncsOywWXTVmdETtj4em2Pkri+u1SpZn/iPX71oiS7G9RdaDSCeUkh/Ysha1mn1QPGti1x193YrdcB\nsv2ciFB1xX7fgJLMa1veFAA/duE6JzUzYoPx0WnIKW/hUHUrLV1GuxU10QxcXdsqm69yo9UylmyL\nVIpYbi1oQCNghRN17cYru9rQTV1rD1sLG4gK8nFLdJNDspNDyKtUrFeb5epO9/FIKNarMnkYrZbr\n6owIt1pMIxGr9yNW70tOhcFuuXrqPrNZrzkVBrLLFMt1dbqnxle/ct5im6w9NbaTQ+gxKtarzXJd\n7GD1i3HLTgqlsL6D1m4jWwsamBIRYLcePSHbZr1uK2wYtAAcC1eUVISU8i3AAiClNAHjq8V+EuKt\n0zArXk92RQvbrC6YlWmeGcBJYf6EB3iTXd7C1oIGwgK87RUhJpp5Sf3RhVsLG5mbGOJSZQFXsE0e\n+8qb2V7UyKr0SI9M1orsUDp6TewsbuJwTZvHFiSguN2O1razs7iJ9l6TxyZrsE4e5S0jWq4TRaCP\njmkxweRWtLC1sBEvrXBq4hoP06KD8PfWkl2ujO0TLdeJZGBw0nCW60Riq3G4t7SZXSXNrPbQggSU\nsd3Q3suO4ibKmrqcku2KkuoUQoQDEkAIsRRw79GqJwnzk0M5XN3GpqP1ZMUHj3ocuTsRQjDPNnkU\nNbIyLcIteTmOEOLvTWpkAF/m13OgyjDE1TeRzIzT463T8NKOcgxdRlZneHIQKQP4SevxF55WFGaL\n5KnNRWgETlVkHy/zkkKoNnTzTnaVRy1XUCauvAoDXx2rZ35SqEuljlxBp9UwJyGEPaXNHrVcAeJC\n/IgJ9uXjg7UU1nd49D6zWa/rt5XQbTR7dGzbAjGesAY+ObMYckVJ3Y8S1ZcqhPgaeAn44VhvEkKs\nFUIcsx4R/8thntcLIT4QQuwXQhwWQtzsQtvcyvykUPrMFvZXGjx6M4Gy6ilr6qKhvddjLhgb85NC\nybaGW3tqZQ2K9To7Xs+esmaE8JzlCpAcrlive8qaCQvwHvOUWXdis173lDZ71HKF/tX1nrJmj1qu\noNxn7b0m8uvaPXqfgdLv/Lp2j1uuNtl7redjrfLgQizQR0dGdBB7Sps9arkCZMYo1uuesmbiQ/yY\n4oTl6rCSEkIsEkLESClzgNOA/wV6gc9QDikc7b1a4GmUY+JnANdaAy4GcjdwREo5Bzgd+IsQwn1h\nVC5g21gGPLrqgH7XF3hWUUD/pnaQr86hw+wmQnZWnN5jliv0W6+ARy1XUKzXqZHKoPX0fWazXgGP\nWq7Q/12DZy1XRbYyvjxtuUL/osTTliv0f+aetFyh33oFZT5zZjHkjCX1DGCr1bMc5ZiOp4EWrIcQ\njsJilKrpJVLKPuANlCPjByKBIKG0PhDluHnH05IngKggXxJC/fD31jp8Zo27mJ0Qgk4jmBYd5NSh\neO5g/oDJ2l0Z747LVm5kT1uP0D9xTYps62fu6QWJbe/V05YrYC9Y62nLFfpzkDxtuUK/ovC05QqT\nd59B//hydi/MGVWqlVI2W/++Glgvpfw38G8hRN4Y7x3uePgTSyk9heJGrAGCgKullEPquwsh7gDu\nAEhKcm+Y5nDctDyFjl6T2xIZHcXPW8uNy1OY5sAxze4mPSqQC2bFcu3iif98T2RZagSrMyLtycSe\n5PysWHYWN3G2G3NjHOWK+Ql09po8brkCXLckiVnxnrVcQbFeb1mRgpdW41HLFZSjJ767JImlUz3n\n8rKRFadnzYxovrvEsUMq3cnp0yJZlR7h9txOR7hoThyHa9pY5aSCFI6W6hdCHALmSilNQoh84A4p\n5Vbbc1LKEZNIhBBXAmullLdZ/78eWCKlvOeE16xA2fNKBTYBc6ynAA/LwoUL5b59Tp/qoaKioqIy\nyQghsqWUYyYAOmNJvQ5sEUI0At3ANqugNMaO7nPkePibgT9KRWsWCSFKgUxgz0gXzc7O7hFCHHai\nD+5Ez+RFNSYBFZMkW+23Z/k29hnUfk8Gnu538tgvccKSAnu4eSzwmZSy0/pYBhBoDagY6X06lKTf\ns1CU017gu1LKwwNe80/guJTyIWtVixwUS6pxlOs2SCk971xVZK+XUt4xSbLVfnte9qT0+9vYZ6ts\ntd+elz1p/R4Np8I7pJS7hnmswIH3mYQQ96BUqtACz0spD9uOj7fW/nsY2CCEOAgI4BejKSgrIx/E\nM/F8MImy1X57nsnq97exz6D2ezKYzH6PiFOW1MmGEGKfIz7Nbxpqv789fBv7DGq/J7sdJxOeDVlz\nP2OFvn9TUfv97eHb2GdQ+61i5ZS2pFRUVFRUvtmc6paUioqKiso3GFVJqaioqKictKhKSkVFRUXl\npEVVUioqKioqJy2qklJRUVFROWlRlZSKioqKykmLqqRUVFRUVE5aVCWloqKionLSoiopFRUVFZWT\nFlVJqaioqKictHhESQkhnhdC1FsPThzu+UwhxE4hRK8Q4qeeaJOKioqKysmPpyypDcDaUZ5vBu4F\nHvNIa1RUVFRUTgmcOk/KVaSUW4UQKaM8Xw/UCyEucOa6ERERMiVlxMuqqKioqJykZGdnNzpywKNH\nlJQ7EULcAdwBkJSUxL59+ya5RZOP0Wyh22gm2NfLI/Lae4y8uKOM75+WipdW3dZUUVFxHiFEuSOv\nO+VmGCnleinlQinlwsjISTll+aTjN+8d5sInt3tM3scHa3nsswL2lDZ7TKaKisq3k1NOSakMpq61\nh3eyK6lo7qKxo9cjMo/WtgNQ3NDhEXkqKirfXlQldYqzYUcZRrNycGXB8XaPyDxS0wZAcf3JoaTy\n69q4+YU9tHT2TXZTVFQA2FrQwN4y1dPgDhxWUkKIdiFE2zA/7UKItjHe+zqwE5gmhKgSQtwqhLhT\nCHGn9fkYIUQVcD/wa+trgsfTsW8DHb0mXt1dzuKUMAAK6iZeSUkpOVprVVINnRMubyxMZgs/eWs/\nm4818OHB2slujooK3X1m7nkthz9+kj/ZTflG4LCSklIGSSmDh/kJklKOqlCklNdKKWOllF5SygQp\n5XNSynVSynXW5+usjwdLKUOsf4+q+E4GLBbJmX/5itf3VEyK/Df2VNDeY+JXF0wnxN+LAg9YNlUt\n3bT3mvDWak4Kd9/zX5dyuKYNf28tGw+pSkpl8vlgfw1tPSYqmrsmuynfCFx29wkhooQQSbYfdzbq\nVKGho5eShk6e216KlNKjsk1mCy98XcbiKWHMSQwhIzrII5bUEasVddq0SGpbe+joNU24zJEob+rk\nr5sKWDMjmpuWp7CrpFl1+alMOi/vUoLWGtp76eqbvPHxTcFpJSWEuFgIUQiUAluAMuATN7frlKDa\n0A1AUX0HB6paPSp7X3kL1YZublqeAkBGdCAFx9snXFkeqWlDI+D8WTEAlEyiNfXg+4fRaTQ8H9JS\n5wAAIABJREFUfEkW58+KxWyRbDpyfNLao6Kyv9LAwepWuwtetabGjyuW1MPAUqBASjkFOAvY5dZW\nnSLUWJUUwL9zqjwqe2dxE0LAirQIAKZFB9HWY+J428RG+B2tbWNKRACz4vXA5EX4NXf2saWggVtW\npBCj92VmXDAJoX58rLr8VCaRl3eVE+Ct5cdnpwNQ3uR5JVXS0EFbj9HjcicKV5SUUUrZBGiEEBop\n5WZgoZvbdUpgU1KnZUTy/v4aek1mj8neVdLEzLhg9H5KAm96dBAAx6wRfhsP1XL2X7e4vU1HatuY\nHhtMUlgAWo2guH5ygie2FzUiJZyRGQWAEILzsmL4uqiR1u5vzgBVOXVo6ezjg/01XDovnhlxyjZ9\npYctqdyKFtY+vo0/bfzmBG24oqQMQohAYCvwqhDiCWDyw7wmgRpDD0E+Om5ekYKhy8jm/HqPyO0x\nmsmtMLBsarj9sQyrkiq0Kql/bSulqL6DqpbuYa/hCq3dRqpaupkRF4y3TkNymP+kWVJbjjUQ4u/F\n7IQQ+2PnzYrFaJZ8ma+6/FQ8z3PbS+k1Wbh+WTIh/t4E++o8aknVt/dw5yvZ9Jkt36hEe1eU1CVA\nN3AfsBEoBi5yZ6NOFWoM3cSG+LIqPZKoIB/eyfaMyy+nooU+s4WlA5RUWIA3kUE+HKtrp6Shg+zy\nFgCq3aik8q1BE9NjlVVialQgRZOQKyWlZGthAyvTItBqhP3xuQkhxAT78ukhVUkBFNW306wGkniE\nqpYu/rWthEvmxpEZo4yP5PAAyj1kSfWZLNz9ag6t3UYumB1LwfGOb4xHwWklJaXslFKapZQmKeWL\nUsonre6/bx01rd3Ehfih1QgumxfPV8caPGLe7ypuQiNg0ZSwQY/bgifezanub6PBfUrKlh8106ak\nIgMpa+rEZLa4TYZj7Winob2X1RmDy2JpNIJlqeHkVRo82p6Tke4+M5c9vYPff3R0spviETp7TZMa\nSffoxmMIAb9Ym2l/LCnM32Puvue/LmVvWQt/unIO1y1Wgq1zK1o8InuicSW6b2BSb48QwjxWMu83\nlRpDD3EhfgDctCIFrUbwt00FEy53V0kzWfH6IQVlM6KDKKzv4N2cKlamRaAR/RGI7uBIbRvhVosN\nIDUyAKNZUulGa80RthY2AMpe4IlMjw2irq3nWx+K/tmROtp7Tewp89z60WyR9Jk8u2CxccuGvSx5\n5Aue3lxEZ6+Jr4saufvVHG57cR/HJjg1I7u8mQ/213DHqqn2+QAgKdyfqpYuzJaJT0/58EAN85JC\nuHhOHHMSQ9AI7N6UUx2nq6BLKYNsfwshBIr7b6k7G3Uq0GM009zZR5zeF4BYvR83r5jCM1uLuW3V\nVPvGqaNYLBIhlACA0ejuM5Nb2cItK6YMeW5adBBdfWa6+sz8z/nTKWnocNndV3i8nWxrmHtdaw9t\nPUZ2lzYzK15vb2NqVCCglEeaEhHgkhxX2HKsgcyYIKKDfYc8Z3O1HK1rY3lqhMfaNBJVLcpKOiHU\n36NybdZ0ZXM39W09RA3zWbmb37x3iP/mVnPN4iRuWTmF+AET9kRS19rD7tJm4kP8+POnx3j88wKM\nZkmovxcSOP/JbdyyIoX71mTg7+3+gx/+8HE+0cE+fP+01EGPJ4f5YzRLagzdJIZN3PdfbejmUHUb\nvzxPseICfHRMjw3+xiipcdXukwr/Bc51U3tOGWxutIErp7tOTyXY14tHnYys6TWZWfbHL3jNgcoV\nORUtGM2SpanhQ56zRfgF+epYMyOauBA/lyypakM3Fzy5nV++e5CnNxexrbCR8qYu0qMCuW5Jsv11\nqZFWJeXG4ImOXhN/2phvrw94Ip29JvaVNw9rRUH/fll+reOr5wNVBmpb3W8NmswWrnt2N3e8lO32\na49GfVsP2wobWJGm3COemKzq23t4e18VkUE+bNhRxml/2swH+2smXC7ApqPKHuSLtyzinTuXceWC\nBP529Rx2/s9ZbP7J6XxnYQLPbi/lpuf30mlNPm/q6OXuV3PGvY/c1NHLvvIWbliWQoDPYAWYFK4o\nJne7/MwWOShqd9PhOgDOmRFtf2xBcih5lQa3u+KllB4vXOD0skIIcfmAfzUo4ec9bmvRKUKNQeny\nQCWl9/PinjPS+P3HR9lR1MjyNMdW8rkVBo639bLxUN0gJTAcO4ob0WoEi1LChjyXER2IViO4cHYc\nvl5a4kP9XJqgXtlVjsli4YN7VpIZGzTimVF6Py8ig3zcFjxhsUjuezOPTUeO869tJdy/Zhp3rJ46\nKDji66JGjGY5ZD/KRmSQDxGB3vb9s7Gob+vhqnU7iQvx46N7V7p1pf1eXo09uqussZMUJ63N+rYe\nnvu6lB+flYGft9bh972/vwaLhF9fMINLnv6a7PIWzpsV69B7pZRjWvPD8equCvrMFl64eTHeOg0/\neDWHh94/zOqMSHuaxETx2eE6pkYEkBoZiBCChQPGhq+Xlj9cPpsVaRH86I08btmwl5+vzeTe13Op\nNnSz+Vg9y1PDB41jZ7CNr8VTho7HJKv1VN7cxXKXrj48v3nvEDuLm/j4R6vw9dLy2ZHjpEUFMtW6\naARFSb20s5z8unayrDmNoHy/Fc1dJIX5O/09V7V0cduL++g2mrluSRJXLUgkNMDbbf0aCVcsqYsG\n/JwLtKO4/EZECPG8EKJeCHFohOeFEOJJIUSREOKAEGK+C+2aMBo7enni80LWPr6Vg9bKEnZLSj/4\n5r5+WTIRgT68vrfS4evvKFb2DfaVtWAcYeXT1NHLA/89xLotJSxKCSXQZ+hkGuTrxSu3LrGb/fEh\nftS19jjlE+8xmnl9TwVrZkQzK0E/5qGG6VGB9lJJ4+WJLwrZdOQ4952dwdnTo3l0Yz7XP7eb7j5l\n1djVZ+LRjYprZWFK6IjXmR4bTL6D+xDrt5ZgNFsobezkDx+7nlvSYzRzw/N7+OMn+UgpMVskT28u\nIjFMuT82Wle7zvDnT4/xzJYShyzsgfw7p5o5CXqmxwYzJ0HPPgcXKoauPhb9/nOuWreDL/OPO7xi\n7jGaeXV3OWdlRjElIoD4ED8euSyLlq6+Cd+jbe02srO4iTUzo0eddC+cHcffrp7L3rJmrvjnDkwW\nC/+8bj4WKfntB0dclp9d3oK3VmNPbh9IrN4PL61waxi62SL5+GAtJY2d/GNzEYauPnaXNg+yokBR\nUqB4XmxIKfnDJ/mc9uev+P1HR52yiPZXGrj06R1UG7qJDPThkY/zWfqHLzyS7uHKntTNLsjZADwF\nvDTC8+cB6dafJcA/rb89TmuXkaKGdorqOyiq76CwvoMdxU30mSwIAe/vr2ZWgp6a1m6EgGi9z6D3\n+3ppmRkX7FS5oJ3Fjeg0gm6jmQNVrfYbzEZZYycXPbWdrj4z312cZM9mH45lA9yAcSF+mCyS+vYe\nYvWOrRTfz6vB0GXkRmu5pbFYnhrOY58V0NDeaw+ocIWNh+p44otCrpifwL1npQHw1r5KfvnuQe55\nLYd11y/g4Q+PUNLYySu3LsFHN7JlkRkTxIs7yzGZLehGUbJNHb28uruCS+fGExrgzXPbSzl7RvSI\nrsSBZJc3kxweQESg0uc/bTzG1oIGthY0EOijJTHMX5lIrpvPui3FbDxUx50n7FmMRklDB//OqUKr\nEfxrawnfW5o0ap9tHK1t42htG/938UwAFiSH8dz2EnqMZny9tHT1megzWQjxH7oCfmtfJY0dfeg0\nGm7ZsI+ZccE8fvVcuxt5JD7YX0NjRx83D9gnnRmn57olyby0s4yrFyXa3bDu5qtj9ZgsknNmxIz5\n2ovnxKEVgo8O1vDgRTOJDvalpLGTP396jM359fbEcGfYV95CVnwwvl5DvxutRpAY6t4Iv7xKAy1d\nRuL0vqzbUgIoiuvcmYP7Hx/iR3SwD9lWV6TFInnw/cO8vKucadFBPLu9FL2fFz88K51ek5lD1W1k\nxQcPe4/l17Vx9fqdyuL79iWkRwdxtLaNV3eXMzdx5MWiu3BYSQkh/g6MqHqllPeO8txWIUTKKJe/\nBHhJKqp9lxAiRAgRK6X0aI2bWzfs5YsBCbneOg1TIwK4ZlEiNyxL4df/PWi3emqsK4rhvtQpEQHs\nK2t2yHXS1Wcit8LAFfMTeHNfJbtKmoYoqc3H6mnvMfHBPSuZlTB0xTYS8aGKYqpu6XZISUkp2bCj\njGnRQYMShUfj9GlRPPZZAVsKGrhyQcKQ672yq5zVGZEkh4/s6jKZLTz84RFmxgXz+8uy7J/Z1YuS\nMJolv/7vIa5+Zic5FQbuPC3VXgpqJKbHBtNnUqyj0SbYZ7eX0mMy84Mz0kgI9WNrQQM/f2c/b9yx\nbNRAkNYuI1etUwbtP783n7YeE89/XcqNy5Jp6zHx2GcFhPp7kR4VyNqZMZRaJ8La1pG/h2pDN0dq\n2jgrMwqNRvD454X46LQ8cnkW9725n//kKAEJA3knu4rdJU387rIsfHRazBbJHz/Jx1un4aI5cYCy\nol63RXKwupW5iSFc/o8d5Ne1kxYVyJIpYfzknGmEBXhjtkhe2lnOkilhvHLbEt7Pq+EPnxzl4qe+\n5neXZnHFCd8tKN9vS5eR578uIyM60L4HZuMn52Tw4YEa7nkth1nxeoxmyTWLE1mV7r4TtT87fJyI\nQB/mJYaM/WLggtmxXDC73/V5+6qpvJtTxW/eP8TffOeyIDnUYTdYj9HMwapWbl6RMuJrEsP8KW/u\nr3VgsUg0GufdqTY259ej1QheunUxlz29gye/LCIm2HeIJSeEYEFyKHtLm3k3p4r/5FazrbCR76+e\nyi/WZvLTd/bzl00F7C5tJq/SQEevif85L3NI8AfAjqImeowWXr99qT0AZHpsML+7dJbL/XAGZ9x9\n+4BswBeYDxRaf+YC43VMxgMD/WNV1seGIIS4QwixTwixr6GhYZxi+2nu7OOL/HrOnxXDczcuZMvP\nTufob9ey8cer+e0lWaRFBbI8NYIjtW0YuvoGhZ+fyJSIADr7zDQ4cFLu3rIWTBbJBbNjyYwJYlfJ\n0JDho9bQ76x451ajCdb2ORo8sae0mSO1bdy4PMXhgTozLpioIB82HxtabSO/rp0H3jvMc9tLBz3e\nZ7IMckF+kV9PtaGbH56ZNmRF+r2lydx3dgY5FQbmJOj5yTkZY7apP8JvZJdfS2cfL+0o44JZsaRF\nBeLrpeXxa+bSY7Rw0d+38/4om/5FDR1YpBLEcc36Xfzo9VwyY4L4n/On8+gVs1mVHkFLl5F7zkxD\noxGszVJWuZ8eGurya+7s47cfHOGMP3/F7S/t44bn97D5WD0fHKjh5hUpXDo3nlnxetZtKR70mTV3\n9vHQ+4d5O7uKH72eh8ls4fHPlcXCQxfNJMy6V2Bb8Owra2H91hLy69q5fmkyiaF+vL2vivvfysNi\nkXyZX09VSzc3Lk/BS6vhigUJfHTvKmYn6PnJ2/v52dv77W5XQ1cf976ey+yHPmP+w5s4WtvGbSun\nDrlnQvy9eeSyWfSZLeRWGthV0sSdL2dT1tg/aZvMFvt1B/atoX3ssdNjNPPVsXrWzIh2eeL31mn4\n4xWzMXQauXLdTs59fCvbCh2bVw5Wt9JntgxZVA4kOdyf8qYuuvpM3PTCHs5/cps9eMMVvsyvZ0Fy\nKGlRQdy3RhkLI/V/flIoNa093P/Wfo7VtfOr86fzy/My0WgEf7piNhfMiiW/rp0LZ8eSEu7PlyNU\nzKlt7cZHpyEh1DPRmifisCUlpXwRQAhxF7BSSmmy/r8O2DYxzRu2HeuB9QALFy50W5iJTTncunLq\niDfdstRw/rpJyVOqMXSTGTv8Kt22QV7a0ElU0OihvzuKG/HSChamhLJ0ajhv7q2kz2TBW9e/fjhS\n28aMuGCnNzrjHFRSe0qbeXFnGZ8driPU34tL58U5LEMIwWkZkXx6uG6Ie+3DAzX269uQUnLxU9tJ\njQrkqWvnIYTg5Z3lxOp9OXt69JDrA9x7VhoZ0YEsSAkdc48MIC0qEJ1GcLS2jYvnDO7LtsIG3t5X\nxeb8erqMZn54Zr/rdGacno9/tIofvpbDva/n8nVhIw9cNGPI/p8tmvH1O5by100F7C1t5slr59kV\n7DPXL2BXSROnZyjuo9TIQDKiA/nkUB03rZiC2SLZUdzIuznVbDxUR6/JzFULEsmICeIvnx1j+wuN\nBPnq+P7qVIQQ3H1GKne+ksPHB2vtFtK6LcV09pm4aXkKG3aU8b3ndrOrpJnvLEzg2sWJ9raGBXgz\nNSKAjw7WUHi8g7UzY3j40iwAXt5ZxgPvHeaFHWV8dayeWL3voL2N6GBfXr1tCU9+UcjfNxexv0qx\nZP/86TEaO3q5ckECqZGBTIsJYuUI1u15s2LtQRvVhm7Of2Ib976Ryzt3LudQTSv3vJpDY0cfy1LD\nWTwljF0lTewobiI8wJutPz/D/plKKWnrNhHsp0MIweGaVv6xuZjOPjPnzBz+vnGURSlh7Prfs/hg\nfw1PbS7iN+8dZvNPTx/zfbaTd0dTUklh/rT3KIuZQ9XKfvaD7x/msavmON3O2tZujtT2h5rfsCwZ\nQ7eRy+cNu57nO4sSlUCS5FBmxesHKTKdVsPT1/Vv/T+6MZ9/bS2hvcdI0An5l7WtPcTqfV0KqHEH\nroQyhQLBgG3mCbQ+Nh6qgcQB/ydYH/MYO4obCfDWMnsUd9qchBD8vLTsLG6kprWbM0fwYU+xurbK\nmjpZMozbrLXLaB9sO4ubmJcYir+3jqVTw9mwo4wDVQZ7hJLRbKGgrmNUl8JIBPjoCPH3GjVXqqi+\nnWvW7yTYz4vrl6Zww7JkpyPczsiM4u3sKnIrDfaoQyklHx5QvLXHjrfT2m1E7+dFeVMX+XXt5Ne1\nc1ZmFLMT9GwvauRn504bcf9ICOFwdBooq+O0qEB7GScbFU1d3PD8HsL8vTl/ViyXzY9nWszghUZ8\niB9vfn8Zf91UwLotxWwvauTPV84eFKlZ3NCBt1bDzDg9L9y0iG6jedBn5u+t48zMwRPn2pkxPLW5\niLtfy2F7oVIEN9hXx6Xz4rl1ZQppUUo7zp4exe8+OspZmVHo/ZXJ4pwZMaRHBfJ/HxwmOdyfqCBf\nXtxRxmXz4nno4pkE+er4+5dFzE7Q89tLsoZMJguSQ3k7u4pAHx0PWfeqQLFStxY28sdPjmI0y2G/\nA51Ww/3nTGPRlDB+/EYe97+1n5Rwf969a4VTrmfbZ/voFbO485Ucbnx+D/vKm4nR+3Ld0iS+zK9n\nS0EDiWF+XDInjndzq/lgfw1XLVSmhb9/WcRfNxXgrdMQEeBNTWsP/t5a7lg9ldVucB8G+Oi4ZnES\nvSYLD75/mNLGzjFz/7LLWpgaGUB44Mh7sTY395GaNp68dh4Fde08+WURqzMihyygxmJzvmLh2eYd\nnVbD/WtG9iwE+3px68qh+ZTDcVpGJP/8qpivi5rslr8NRUlNjhUFrimpPwK5QojNgABWAw+Nsx3v\nA/cIId5ACZho9fR+1I6iJhZPCRt1pe6t07BoShgbD9fRY7SM6O6LC/HFSysobRy6YbqjqJHrn9/D\nBbNi+dUF0zlU3WpfzS+ZEoYQilVnU1LFDR30mS1OJwfbiB8jV2pLQSMWCR/du8rl5MuV6UoNvc35\n9XYldbC6lfKmLi6ZG8d7eTXkVLRwxrQoe7WI9KhAHnz/MCvTIvDWarh6UeJoIpxmemwwO4sHu07f\nzVVyYt7/4cpR++ql1fCLtZmcPT2Kn759gO8+u5u371xm71txvTKB2ULjHVHqF86J4+mvitld0szZ\n06M5e3oUZ2RGDXFvJocH8K8bBh8qoNEI1l2/gBue28M163cxK16PRUruO1uZoO5fk8HMuGAWpoQN\nu4G/KCWMt7Or+PnaacTo+y17IQSPXjGb857YSkunkWtG+Q5WpUfy8Y9WsfFQHVcsSBg2utQR1mbF\nct2SJF7dXcFZmVH89Ttz0ft78ZsLZ9DU2Ue41U15uKaN57aXcuWCBOrbe/nnV8UsmRLG3MQQ6tp6\nmB4bzLWLk9we3n5mZhQPvn+YL/PrR53gLRZJdkXLkKi6E5mTqERZ3r8mgzUzojHNtLC9qJFfvXuQ\neYkh9j0eKSU3PL+HMzOjBgWg9BjNSAl+3lq+zK8nPsSP9KjAkcS5zIJkJWJ4S0HDUCVl6B42L9NT\nuBLd94IQ4hP6o+9+IaUcNb5WCPE6cDoQIYSoAh4EvKzXWwd8DJwPFAFdgCsRhC5T29pNSWMn310y\n9gHDy1PD2VqgTLRxIcO78nRaDYlh/oN87wBtPUZ++vZ+Qvy8+OBADV8XKQpiufUGCA3wJjMmmF0l\nzdxzpvKeoycUdXWWuBA/yptGLlK/s7jRHjbsKsG+XixMDmXzsQZ+bq1d9uGBWry0gl+el8lHB2rZ\nW9qsKKmCRhLD/HjuxkWsfWIrnxyq4/J58fYoOXeRGRPEf3KraensIzTAGykl7+ZUs2xquMN9XZAc\nxvv3rGDubzexraDBrqRKGjpGdPWOREZ0EDm/XkOQr86l/ZPUyED+84Pl3PTCXnaXNnPjsmT7BCeE\nYG3WyJbmxXPjCPbTDRsBFxbgzWu3L6WutWdUiwAU95+jUZ+j8dDFM7loThyLU8Lsn4UQYtA9cMvK\nFH7x74PsLG7igwM1mCwW/nTl7FEDcNxBYpg/6VGBfJl/fFQlVdzQgaHLOCgnaziignz55Eer7P/r\ntBqeuGYeZ/1lCy/uKOPXF84AoOB4B9sKGyk4ruwZ6rQapJRcs34XR2raWJ4Wzu6SZq5ckDAhbjcv\nrYYVacrcNjDgy2yRHG/vHZJq40kcDpwQQmRaf88H4lACHSqBuLHymqSU10opY6WUXlLKBCnlc1LK\ndVYFZatccbeUMlVKOUtKuc/1LjmPbcW9zIHVwvITQrxHYkp4AGUnKIfffnCEurYenr1xIc/ftIg+\nswV/by1zk/ojk5ZODWNfeTM9RmUz+UhNmz3K0BXiQ/yobukeNifCZLawu6TZoX6PxenTojha20aN\nQZH10YFaVqVHEqv3Y2a83p4DtrO4kVXpkSSF+/PgRTPw9dIMWjm6C5tStxWb3VfeQkVzF1fMHxql\nNhpBvl5kRAeRZ82P6zNZKG/uYmqE86tZvb/XuCK7ooJ9efP7S3ngwhncf840h9/n66VlbVbsiLJT\nIwPHjJh0J15aDUunho/6WVwyN57wAG8e+eQob+6t5HtLkydcQdk4MzOKPaXNdIwS4LC3TMk/WjjK\nftRIJIb5szwtnE+P1NnH5efWqhnH23rZfExZBO8obiKv0sDytHCKGzroNpo5b9bYofauclpGFNWG\n7kEVZOrblTzL2BEW5J7Amei++62//zLMz2NubpdH2VHcRKi/F9NjxrZWZsbpCfJVDNBRlVREAKWN\nnVisEVmbjhznnewq7jo9lXlJoZwxLYqNP17Nm3csGxTGfvb0aHqMFj6zHoN+pLaNzJigUfN9RiMh\n1I/OPvOwZfsP1bTR3msapHhdZc2MaLQawUV/384D7x2i2tDNhdZQ30XJoeRVGdhd0kxnn5nV6cqE\nePWiJHIfOMfpvQ1HmJ8cSqzelwffP0xrt5F3c6rw89IOcWU4wtxEPfsrDfZsfbNFkhrluVqFAwmy\n7jNMdBWHycbXS8t1S5M5VN1GgLduUIDLRHNGZhRGs2T7KFF+Hx+sJT7Ez+WalWtnxlDZ3G1PhP/i\n6HFmxCqRsq9bk7fXby0hItCHdd9bwNafnUHuA2smtB7l6gzl2l8d6+93bau1ss6pYElJKe+w/j5j\nmJ8zJ66JE4uUkh1FjSxLHX1lZ0OrESyZEo63TmP3nw9HSkQAvSYLdW3Kl/zXTQWkRwXyo7P6Nzrj\nQ/yGTNA2d9Tb+yqRUnK0tp0Z40iEjB8lwm9HcSPAoHOpXCUtKpC371zGjLhgXtlVgbdOwxqrv37R\nlDD6TBae3lyERsCyAQPNmXI/zhDoo+Op786nxtDNT97K48MDtZyXFTOkvpojzE0MobXbSFlTl32V\nmRrp/n0BlcFcvzSZIB8d956Vbg+p9wQLkkMJ8tWNGJJd1dLF18WN43K9nT0jGo2ATw8fp7Gjl9xK\nA+fOjOGqhQl8dayer44pgSQ3LU/G10uLEGLCSxAlhPqTFhXIloIBSspa/m3gXqancaV231XARill\nuxDi1yg5Uw9LKXPd3joPUN7URU1rD3c5sUK5b00658+KGfUGta2wyho76TGaOVrbxgMXzhgUWj4c\nGo3gygUJPPllITkVBpo7+1wOmoABYegt3cyMG6wQdxY3kRkT5Lb9oPlJobx86xJyKlroMZrtoaw2\nl8jOkibmJ4V4zApYkBzKL8/L5HfWM5WGS0h1hDnWRNH9lQZqrIVop6pKasKJDPJhz6/OxtdrXHWw\nncZLq2F1RiSbjzUMm3z77+xqpGRI8rozRAT6sDAljE8P1ZEQ6oeUcNb0KPR+Xjy9uZh7XsvFz0s7\nZi1Pd7M6PZJXdpfb02BshZdPCUtqAA9YFdRK4GzgOWCde5s1sfQYzdz9Wg4X/X07Fz21HYAVTri8\nZsbpuXyMvQ17rlRTJ59YkzjPd9CffOWCBKSE332k1BQbT0kZe9WJEyypXpOZvWXu2Y86kflJoYPc\nEuGBPqRGKp+HO6sNOMKtK6dwydw4pkUHuWwxpkcF4e+tJa/SQHF9JzHBvi5Ht6k4h5+3dlLyc86c\nFkVDey+Pf14w6HRji0XydnYlK9LCx338xrkzYzh2vJ0NX5cRq/dlZlwwiWH+rEqPoKPXxHcWJnik\ngOtA5ieH0GeyUHBcSYSvMSih/sF+k3e/uyLZlh5+AbBeSvmREOJ3bmzThOOj01Bc30FkkA+XJsYz\nO0Hv9pVxbLAvPjoNZY2dfF2kWBCO5hokhvmzPDXcXoIpM8a5SLKBhAd446PT8MaeSjYfa6Cnz8yt\nq5Q9jR6jxWNnLi2eEkZxQ6fd7+0phBA8cc08jGbLoGrqzqDVCLLi9fYgjMnaj1LxHOd2TLAiAAAL\nBklEQVRmxfD+/hqe/LKIdVtL+M7CBH6+NpND1a1UtXTzUycCV0aUMTOahz88wpHaNr63NMmujG9Z\nOYWD1a3cunLquGU4i83bcrimlax4vbWU1+Ql8oJrSqpaCPEMsAZ4VAjhwzjPpfI0Qgg2/nj1hMrQ\naATJ4f5sKWig4HgHv75gulPvv2phAjuKm0gO9x+SAe4MQghOnxZJboUBXy8Nrd1Gvv9yNpFBPmjE\n8EcMTARXLUyku8/MnATHaqy5G0cqVYzG3MQQNnxdhrdOw2UjZPirfHMI9NHx4i2LKTzezgs7ynht\ndwVfHK0nLsSPIF+dSwE4J5IQ6s+seD0Hq1s5a0C1lTOmRZH3m3PGfX1XSA7zJ9BHx6HqNq5eBDWt\nI5d/8xSuKKnvAGuBx6SUBiFELPAz9zbrm8GUiAA+PaxE6TlTMQFg7cxYfuN7mKy48Ue+PXN9f3Ko\n0WzhxR1l/G1TAQuSQz22PzQ/KZT5SRNfMXmimJMQQp/ZQp/ZYnddqnzzSY8O4pHLZvGdhYn85K08\nsstb+O6SpGGTpl1BSVbucbig80Sj0QhmxAVzqEZJuahr7WZatGdd9CfiSjJvlxCiHliJUmDWZP2t\ncgK2fam5iSFOJ8v6eWt5/falbo9q8tJquG3VVK5a4N4KD990BuaypU5Axr/Kyc3cxBA+uncV7+ZU\nj7tW4EBuWJbMDcuSJ9WddiJZcXpe21NOj9FMfXsvMZMYNAGuRfc9iHIa7zTgBZTKEa8AK9zbtFMf\nWw2/C5y0omxkDXOQmruw1YVTcYw4vS8RgT40dvSq4effUny9tA5VpXGGk0k52ciKD6bHaGFnSRNS\nKvf+ZOKKo/4y4GKgE0BKWQO4vrP/DWZFWgQr0sK5xImq4ionJ0II5ibq8fPSEhM8uYNWRWUisS2O\nN1kLCsSegntSfVJKKYSQAEII1UE/Aolh/rx629LJboaKm7j3rHQunB03rtJGKionO1MjAvD10vC5\nVUmdipbUW9bovhAhxO3A58CzY71JCLFWCHFMCFEkhPjlMM+HCiH+I4Q4IITYI4TIcqFtKioTxuyE\nEC5VI/tUvuHotBoyY4Kptx48OdmWlNNKSkr5GPAO8G+UfanfSCmfHO09Qggt8DRwHjADuFYIMeOE\nl/0vkCelnA3cADzhbNtUVFRUVMaP7RTwIB/dpCeuuyRdSrkJ2AQghNAIIa6TUr46ylsWA0VSyhLr\ne94ALgGODHjNDJSzqpBS5gshUoQQ0VLK4660UUVFRUXFNWypL5NZ/dyGM0d1BAsh/kcI8ZQQ4hyh\ncA9QgpI7NRrxKMd62KiyPjaQ/cDlVlmLgWSUE3pVVFRUVDyILXhiMk/kteGMJfUy0ALsBG5Dcc8J\n4FIpZZ4b2vJH4AkhRB5wEMilvwSTHSHEHcAdAElJ7g0HVVFRUVGB9OhAvLRi0qtNgHNKaqqUchaA\nEOJZoBZIklL2OPDeamBg9miC9TE7Uso2rCfyCiV5oBTFSuOE160H1gMsXLhw6El+KioqKirjwken\n5Z/XLSA9evJzAp1RUvZT86SUZiFElYMKCmAvkC6EmIKinK4BvjvwBUKIEKBLStmHYqlttSouFRUV\nFRUPc/YM91XWGA9iuGPFh32hEGasCbwobj4/oMv6t5RSjnqehBDifOBxQAs8L6X8vRDiTpQ3rxNC\nLANeBCRwGLhVStkyxjW7ra+dDPRA6yTJTgIqJkm22m/P8m3sM6j9ngw83e9kKeWYhQEdVlInI0KI\nBkc6OUGy19tOK54E2Wq/PS97Uvr9beyzVbbab8/LnrR+j8YpdcTGMBgmUfYHkyhb7bfnmax+fxv7\nDGq/J4PJ7PeInOpKarJMcqSUk/mFqv32MJPY729jn0Htt8eZ5H6PyKmupNZPdgMmCbXf3x6+jX0G\ntd8qVk7pPSkVFRUVlW82p7olpaKioqLyDeakU1JCiOeFEPVCiEMDHpsjhNgphDgohPhACBF8wnuS\nhBAdQoifDnjsamtF9cNCiEc92QdncabP1pqG3UKIPOvPugHv+b0QolII0TEZ/XAWN/Z7oxBiv/W7\nXmctaHzS4sZ+f2U9WcD2XNRk9MdR3NFvIUTQgMfyhBCNQojHJ6tPY+HG7/qUmc/cjpTypPoBVgPz\ngUMDHtsLnGb9+xbg4RPe8w7wNvBT6//hKLkGkdb/XwTOmuy+uaPPQMrA151wnaVALNAx2X3ycL+D\nrb8FSnX+aya7bx7q91fAwsnuj6f7fcI1s4HVk923iezzqTafufvnpLOkpJRbgeYTHs4Atlr/3gRc\nYXtCCHEpSgmlgUm9U4FCKWWD9f/PB77nZMPZPo9ynV1Sylo3N2/CcGO/bZVJdIA3SkL4SYu7+n2q\n4e5+CyEygChgm1saOAG4qc+n1Hzmbk46JTUCh1GO9gC4CmsdQCFEIPAL4P9OeH0RMM1qPuuASxlc\nO/BUYNg+W5lidQdsEUKs8nzTJhSX+i2E+BSoB9pRLOtTDVe/7xetzz0ghDgVjwwez31+DfCmtJoX\npxDO9vmbMJ+5zKmipG4BfiCEyAaCgD7r4w8Bf5NSDtqDkUo5pbuAN1FWWWUMU1H9JGekPtsK+84F\n7gdeEyfs0Z3iuNRvKeW5KK5OH+BMzzbZLbjS7+uklDOBVdaf6z3cZncwnvv8GuB1j7XUfTjV52/I\nfOY6k+1vHMGPm8LIfvgMYI/1b9sXVoaSqd0M3DPMe+4A/jTZ/XJHn4d57itO2JfgFNmTcne/rY/f\nADw12f2ahH7f9G3qNzAHKJjs/kzSd33Sz2fu/DklLClb1JIQQgP8GlgHIKVcJaVMkVKmoBSvfURK\n+dQJ7wkFfgA8OwlNd5mR+iyEiLRFrwkhpgLpDHOkyamKs/0WQgQKIWKtj+uAC4D8yWj7eHCh3zoh\nRIT1cS/gQuDQcNc+mRnHfX4tp6YV5VKfT/X5bDxM7uH1wyCEeB04HYgQQlQBDwKBQoi7rS95F3jB\ngUs9IYSYY/37t1LKArc31k042efVwG+FEEbAAtwppWy2XudPKEeg+Fuv86yU8iGPdcRJ3NHv/2/v\n7nlkCsMwjv+vkCAUYov9ABoR2dBoKDQi8QGEKPQK0UhEY3USKq1E4SVRKGTjJRokIkFDlkJDtSqr\nEhIFt+KcxIQVy85Onln/XzXn7TnnSebMdc6ZmftJMgnMJFlD9/j6Af1J36oh9Xs9cK8PqFV0X6Zf\nHGE3/tqw3ue9A8D+kRz4Egyxz2PzeTZsVpyQJDVrLB73SZL+T4aUJKlZhpQkqVmGlCSpWYaUJKlZ\nhpS0zJJUkqsD06uTvE9y6x/b25jk6MD0nn9tS2qdISUtv0/AtiTr+um9wLsltLeR7g+d0opnSEmj\ncYeuGgb8VC0hyaYkN9ONF/QkyVQ/fzrdeEQPk7xNcqzf5CywuS9Eeq6ftyHJjSSvk1wb02Kz0i8M\nKWk0rgMHk6wFpoCnA8vOAM+rago4BVweWLYF2AfsBE73FSZOAm+qantVnejX2wEcB7bSDe2wazk7\nI42KISWNQFXN0hUaPUR3VzVoN3ClX+8+MDFQ8ft2VX2pqnm6oUgmf7OLZ1U1V1XfgBf9vqSx11zt\nPmkFmwHO09Vym1jkNl8GXn/l9+fsYteTxop3UtLoXALOVNXLn+Y/Ag5D90s9YL5+jDa8kI904xBJ\nK55XW9KIVNUccGGBRdPApSSzwGfgyB/a+ZDkcZJXwF3g9rCPVWqFVdAlSc3ycZ8kqVmGlCSpWYaU\nJKlZhpQkqVmGlCSpWYaUJKlZhpQkqVmGlCSpWd8BiKGX02GKvdQAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11a63ea90>"
]
},
"execution_count": 58,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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v07NTuOyIEs5fVDTsVtOBYIhX1jXxlw920GRxM7fQzDXLpmNK0ELpfLxdi4mb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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11a63ea90>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from statsmodels.tsa.seasonal import seasonal_decompose\n",
"result = seasonal_decompose(airline['Thousands of Passengers'], model='multiplicative')\n",
"result.plot()"
]
},
{
"cell_type": "code",
"execution_count": 59,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# You may accidentally see two of the same plots here, not to worry,\n",
"# just a small bug with statsmodels function."
]
}
],
"metadata": {
"anaconda-cloud": {},
"kernelspec": {
"display_name": "Python [default]",
"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": 2
}