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시계열 분석을 통한 2017 대선 후보 지지율 예측
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"from KoPre2017 import NaverPollCrawler\n",
"import statsmodels.api as sm\n",
"import matplotlib.pyplot as plt\n",
"import matplotlib.dates as mdates\n",
"import matplotlib.font_manager as fm\n",
"import datetime as dt\n",
"\n",
"font_location = \"/Library/Fonts/NanumGothic.otf\"\n",
"font_name = fm.FontProperties(fname=font_location).get_name()\n",
"mpl.rc('font', family=font_name)\n",
"%matplotlib inline"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"[KoPre2017](https://gist.github.com/Sihyung-Park/e04a4e5a518062e27bbcf7b76380d903) 참고"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"npc = NaverPollCrawler()\n",
"poll_ts = npc.poll_important_df"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"date_strings = poll_ts.index\n",
"date_indices = pd.to_datetime(date_strings, format=\"%Y%m%d\")\n",
"poll_ts.index = date_indices\n",
"\n",
"poll_ts = poll_ts[7:]\n",
"poll_ts.columns = [\"Moon\", \"Ahn\", \"Shim\", \"You\", \"Hong\"]"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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PH9Ri9cDafLn5Nt0WXyQsNr1A57wTncZXm+/wU/9auX5tv+PryC8nowp0XVE8SHgQQgih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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1022461d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"npc.plot_important()\n",
"plt.legend(bbox_to_anchor=(1.01, 1), loc=2, borderaxespad=0);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 지지율 시계열"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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KyuL666/3Bduclh2ABQoSSlWbnFEwdOhQWrdu3agL/QMHDtCjRw/OP/98Pv/8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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10f038910>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(18,3))\n",
"for i in range(len(poll_ts.columns)):\n",
" plt.subplot(1, 5, i+1)\n",
" plt.plot(poll_ts.index, poll_ts.ix[:, i], \"ko-\")\n",
" plt.xticks(rotation=\"45\")\n",
" plt.title(poll_ts.columns[i])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Dickey-Fuller test\n",
": stationary process인지 검정"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Moon 0.0319681322481 || Stationary\n",
"Ahn 0.221196554683 || Non-stationary\n",
"Shim 0.961183495022 || Non-stationary\n",
"You 0.809138665677 || Non-stationary\n",
"Hong 0.963349676163 || Non-stationary\n"
]
}
],
"source": [
"from statsmodels.tsa.stattools import adfuller\n",
"for i in range(len(poll_ts.columns)):\n",
" pval = adfuller(poll_ts.ix[:, i].dropna())[1]\n",
" print poll_ts.columns[i], pval, \"|| Stationary\" if pval < 0.05 else \"|| Non-stationary\" "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"* 1차 차분"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Moon 0.000765462633622 || Stationary\n",
"Ahn 0.427245121099 || Non-stationary\n",
"Shim 4.57290520319e-06 || Stationary\n",
"You 4.61638459638e-07 || Stationary\n",
"Hong 1.7474669914e-13 || Stationary\n"
]
}
],
"source": [
"for i in range(len(poll_ts.columns)):\n",
" pval = adfuller(poll_ts.ix[:, i].diff().dropna())[1]\n",
" print poll_ts.columns[i], pval, \"|| Stationary\" if pval < 0.05 else \"|| Non-stationary\" "
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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3woHdU0dEfifhuojGmFXGmKuMMVcaYx5O1/UzKRzU1tayevVqli9fzurVq6mt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\nMnEQQgghhBBCCCGEOfl/ubIlBPs5IhQAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10f4d9910>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(18,3))\n",
"for i in range(len(poll_ts.columns)):\n",
" plt.subplot(1, 5, i+1)\n",
" plt.plot(poll_ts.index, poll_ts.ix[:, i].diff(), \"ko-\")\n",
" plt.xticks(rotation=\"45\")\n",
" plt.title(poll_ts.columns[i])\n",
"plt.suptitle(\"After one diff\", fontsize=14)\n",
"plt.subplots_adjust(top=0.83)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"* 2차 차분"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Moon 1.87215503179e-05 || Stationary\n",
"Ahn 2.69429354386e-14 || Stationary\n",
"Shim 0.103238443908 || Non-stationary\n",
"You 7.09769778156e-09 || Stationary\n",
"Hong 0.000107861835259 || Stationary\n"
]
}
],
"source": [
"for i in range(len(poll_ts.columns)):\n",
" pval = adfuller(poll_ts.ix[:, i].diff().diff().dropna())[1]\n",
" print poll_ts.columns[i], pval, \"|| Stationary\" if pval < 0.05 else \"|| Non-stationary\" "
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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bjSm1tbWceuqp/POfB01OGzduZN26ddrHTCJp8L10AxhjmkRkpYg87Fv2v0bDHJUsI+bi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\nAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10fa6de90>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(18,3))\n",
"for i in range(len(poll_ts.columns)):\n",
" plt.subplot(1, 5, i+1)\n",
" plt.plot(poll_ts.index, poll_ts.ix[:, i].diff().diff(), \"ko-\")\n",
" plt.xticks(rotation=\"45\")\n",
" plt.title(poll_ts.columns[i])\n",
"plt.suptitle(\"After two diff\", fontsize=14)\n",
"plt.subplots_adjust(top=0.83)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## ACF / PACF 확인"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
"data": {
"image/png": 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DQAm4rGHe/UAfEFW/liKwCzgHOJ4vXRG4HbixYd424FoguWe+EqYdwaPuv+Pu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\nIiIiIhmjBFBEREQkY5QAioiIiGTM/wZGER/5meFgkAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10f3eef10>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, axes = plt.subplots(1, 2, figsize=(9, 4), sharey=True)\n",
"\n",
"sm.tsa.graphics.plot_acf(poll_ts.ix[:, 0].dropna(), ax=axes[0])\n",
"sm.tsa.graphics.plot_pacf(poll_ts.ix[:, 0].dropna(), ax=axes[1])\n",
"axes[0].set_title(\"{} - Autocorrelation\".format(poll_ts.columns[0]))\n",
"plt.tight_layout();"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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4umGFqTkpisVCJBJr8yNEZDCcOTPNk0/GOXx40u9QREQ8U6lULkiIisUSuZxz\nqlRqq7dt3s8OoFyuksuVyOfLuPUrcLZ1sDZGJDLM8PBhbVwrfWlgk6snnzzHPffMc/Dg89TiLCI7\nls/nueeeaSYmnud3KCIyANzVR92V8NxTobC25YK7V2XjKnfu3+aV79ykyF39zr3MOR/CGCcZajxF\no6NEIrFNFm5YOw6Hw6RSMfbs0Z50MngGMqtYXl7mrrtOs2/fc5VYiciufPvbD2HtEWKxhN+hiEif\nsNaubt/gztVeWFhhYcHZwygUStVXw4vUN/uOEArFCYeHCIcjq3tTbrTKnTHuanesXufebuNjEdmN\ngcssisUid911P/H4M0kmh/wOR0R60Pnz5zl9usyhQ0f8DkVE+kSxWOSrX/0uZ89WMGYISBKJjJBI\nTJFMJtmzR3sYifSCgUquarUaX//6/eRyh5ic3Od3OCLSg8rlMl/72mn27r1cFR0R8UQmk+Gf//m7\nrKwc5uDBp/odjoi0YaBWX/judx9iejrB5ORRv0MRkR71wAMPk8tNMDS0x+9QRKQPzM3N8Q//8B3K\n5acxMaHESqTXDUzP1WOPPc5992U5cOAKv0MRkR61uLjIffelmZp6vt+hiEgfePTRx7j77icYHX0O\nqdSI3+GIiAcGIrlKp9N8+cuPMTFxXPsniMiu1Go1vvGNhxgaeroWwhGRttRqNb773Yf4zneyTE4e\nJxaL+x2SiHik72sI+Xyeu+56gJGRZ2lVLxHZtUceeYyZmRSHD+/3OxQR6WHlcpl77rmfhx+OcPDg\nFWr0FekzfZ1cVSoVvvzl+6hULmJ0dK/f4YhIj1pZWeGb33yCiYl/63coItLDVlZW+NKX7mNhYYJD\nhy7WojgifaivF7Q4d+4c584NsW/fIb9DEZEe9sgjj2PtUzR0R0Ta8u1vf4+lpUNMTV2ixEqkT/V1\ncjU7myGV0pLrItKe8+czDA2p91tE2nPuXIa9e6f8DkNEOqivk6uZmQzJ5LDfYYhID7PWMj+fU1ki\nIm0pFAoUCmGi0ZjfocgAWF5O853v3EUms+B3KAOnb+dcVatVFhYKTE0N+R2KiPSwXC5HtZrQpHMR\naUsmk8EYLbcunfexj93OHXc8zOzslUxM3MarX30Jr3nNdX6HNTD6tucqm80CQxrTLCJtccoSVYhE\npD3Ly1lAPeDSWcvLae6442HOn7+RWu1azp+/kTvuOM3yctrv0AZGnydXqhCJSHsWFjKEQqoQiUh7\nnKkKqpdK94YvAAAgAElEQVRIZz366P3Mzl657rLZ2as4c+aUTxENnr5NrubnM0QiqhANAo0rlk6a\nnc2SSqlCJCLt0Txw6YaLL76ciYmvrrtsYuJuLrromE8RDZ6+nXM1M5MllTrsdxjSYRpXLJ1krWVm\nJsvYmCpEIrJ7xWKRfN4wOqrtHKSzRkbGePWrL+GOO27m/PnnMzX1DV796ksZGRnzO7SB0ZfJVa1W\nY35+hYkJLWbRzxrHFQOcP38td9xxMy99aZo9e8Z9jk76QT6fp1KJEQ73ZVEpIl3iTFVQI410x2te\ncx0vfWmaH//xfXzwg2klVl3Wl8MCc7kc1qYIhfry5UmdxhVLp2UyGVQhEpF2LS9rpUDpLreRWYlV\n9/Vl9pHJZLBWFaJ+p3HF0mlLS1lCIVWIRKQ9s7NZ4nHVS0QGQV8mV+l0lkhEFSIvBHmxCHdc8dTU\nzcBnmZq6WeOKxVPnz2dIJFQhEpH2zMxktDCOyIDoy4kEzoo8U36H0fN6YbEIjSuWTpqdzTIyouRK\nRHavVCqRyVQ5eDDhdygi0gV913NlrWVuLqflTtvUS5vQaVyxdEI+n6dYDBONxvwORUR6WDar4cUi\ng6TvkqtcLketliAcDvsdiif8GpanxSJk0GWzWU1AF5G2ZTJZzQMXGSB9l1w5y532R4XoYx+7nV/8\nxQ9www0F3vSm2/jYx27v2nNrsQgZdEtLra8UGOS5iSLir9nZDPF4f9RLRGR7fZdcLSxkCIWC0ULU\nToXL72F5WixCBt3MTJZkcvsKkZ+NIDuhBFDEH7OzWU1VEBkgfbegxcxMllRqwu8w2l4MYqthec9+\n9tVeh7shLRYhg2x2NrNthahXNrLuhcVpRPpRpVJhaanE1FRy29suL6d59NH7ufjiywf691bvg/S6\nvuq5stYGooXIi16noAzL02IRMoiKxSIrK4ZYLL7l7XphbqLfveBeCnrvW9Djk+5zNyI3xmx5u17p\nAe80vQ/SD/oqucrn81QqMcJhfzvkvKhwaVhed6lSJI0ymQzGbN9IE5RGkK30QgLYiqBXuoIen/ij\nlXng/dQA0g69D9Iv+iq5cluI/OZVhes1r7mOP/3TtwAv54MffKuG8XSIKkXSLJNpbaXAXmgE6YUE\ncDtBr3QFPT7xz+xshlhs63pJvzSAtEvvg/SLvkqulpaCsXSylxWuQRiW52evkSpFspGZmQzxeGsN\nNUFvBOmFBHA7Qa90BT0+8Y8zVWHrekmQGkC8+D3e7WME6X0QaUdfLWhx/nyGZPKpfocBaDGIVvk9\n0T4IC4e0QhN8u8tZGKf1hpqgN4L0ennkVLpu4/z5a1cvcypdb/UxqjVBj0/8Ua1WWVwsMjmZ2vJ2\nbgPIHXfczPnzz2dq6hu+NIB48XvczmME5X0QaVff9Fy5i1nspELU6R6ToFe4/BaEXqNeaCkLyrDF\nQZmXViqVyGarxGIJv0PxVC+XR0HvfQt6fF4blLKgXc58q6FtF7MA/3vAvfg99uIx/H4fRLzQNz1X\nhUKBYjFMJBJt6fZ+95hIMHqNgt5SFpSlvgfp+5LNBmN4sawX9N63oMfnarcXfJDKgnZlMhlqtdbn\ngfvZAOLF77FXv+m93BAkAn3Uc7WTClEQekwkOL1GQW4pC8JcjkH7viwvB2NhHLlQpytd7fbIBL1S\n2G4v+KCVBe1Kp7PEYr3RUOPF73FQftNF/NY3ydXSUusVoiBUWCVYQ2mCWikKwo/VoH1fZmezxOPB\nqhBpGFbnBWX4bad4kRgNWlnQLmceeG801HjxexyU33SVl+K3vhkWODOTJZk83NJtNfk4OHplKI1f\ngjBscdC+L7OzGZLJi/0OY5WGYXVeUIbfdpIXQ7YGrSxoR61WI53OMzEx5HcoLfPi99jv33SVlxIE\nfdNz5VSIWmshCkrrSjf0QgtOUHuNgsLvYYuD9H2pVCosLZWJx5N+hwJoGFa39FKPjJ/LXA9SWdCu\nbDaLtSlCod6qZnnxe+zXb7rKSwmKvui5KhaLrKwYRkfjLd/H79aVblALTnC0O4nc7wR0EL4v4ExA\nN2a4pdW9uiEIi74Mgl7pkQnCMteDUha0y1kpMFjDi/udyksJit5qUtmEWyHaKb8rrJ0UpBacXug9\n66R+mcvRz98XV9AqREGYczcIeqFHJkjLXA9CWdCu+fkM4XBvzLfqF/1UXgah3hSEGHpVX/RcZTJa\nOrlZUFpwBr33bBDmcvST2dkMsVhw/i9BmHM3KILeI6NlrnuLsxH5Qb/DGCj9Ul4God4UhBig/VE/\nfumLnquZmQzxuFqIGgWhBSdIvWedtlkLTy/N5RB3YZxgNdT4PedukAQ58QhCmS6tqdVqzM/nSCR6\nZzGLfuFVeelXr00Q6k1BiAF6e9RPnyRXWVKpYFWI/BaEYS6DklhsVQCoQtQ7qtUqS0tFEomU36Fc\nIMiVfumOIJTp0pqVlRVqtSThcNjvUAZSu+Wln5X6INSbvIqhnQQ1KAnebvV8clUqlchmq8RiCb9D\nCRy/W7wHIbHYrgBQhah3OKt7DQVmMQuRZn6X6dKaTEYbkfcqvyv1Qag3eRFDuwlqEJLMdvR8cpXN\nar7VVvxs8R6ExKKVAkAVot6QyWSwVhWi3dLk5+5QL2bwLSxkCYf7s17S799zvyv1Qag3tRuDFwlq\nEJLMdvT8ghbLy2ohCrKgTxJvV6tLOAehQtSrE0O7ZX4+Syw26ncYPSkok5+lN/R7WTQzkyGZnPA7\nDM8Nwvc8CNsyBKHe1E4MXiy+49XiJH6VNT2fXM3OZonH+68Q6ydBSCw6pVdWJxqEH8V2ORWiw36H\n0XNaXRGz3yvU0ppBKIvm5nKMjfVXo++grHwblN/0INSbdhuDVwlqu0mmn2VNzw8LnJnJaDEL8VXQ\nh/35PYa8MY4HHvg6S0tLXX3eVqXTea3utYV2VsTs5VWfxDtelUVOWfJNFhcXOxRpeyqVGOFwz7dd\nr+P3cLluCvpvetB5ObRxtwme3/Uez5IrY8wrjTG3G2M+bIx5806v361MpqLFLMR3QWhl2kwQfhTd\nyvV/+29jvPzld3DLLcGrXFubIhTq+famjmhnRUy/f+QkOFoti7aa17NWlhzgxS++PZBlSZA2IvdK\nr8+BadTKvLEg/6b3Ar8TVL/rPZ7UJIyzosSbrbXXWWt/HnihMebprV7fnuGOre7V7xM3ZTD4/aO4\nvnL9Ep544r9y662nSaeDVbm2tnMVol4uS9pdEdPvHzkJjlbKoq0S+eayZHr6pkCWJcb015BACMZC\nC15QL3r3+Jmg+l3v8aqZ9oXAnQ3Hfwdcs4Prd61Tq3vpCyj9wu8fxY0q19PTV3HqVLAq15GIypKN\ntLsipt8/chIc25VF2yXyvVKW9OtUBb97I9oVpF70Xm5w6wV+13uMtbb9BzHmdUDMWvsX9eNrgBdY\na9/TyvVNj2XhXQ2XnKifuikNfAC4seGym4G3AP0zcVMGTRo4BRwDutmStADcxoXfp7duEMfJ+sn1\nX7HW7rhrOhjlCPRHWbKT/99mbgdOA1cBdwOXAr1VMRMvbVYW3QUUgGsbLvs8kASuZrDLEmnfdp+v\nbrkdeBi4EvgqcAkqDzvFi3rPSXZalniVXL0EOGatvaV+/GpgzFr7Z61c3/RYttWY5ubmuPPOJzlw\n4Nmb3uaaawxf/OLOXuN3vnMXN9xQoFZb+wKGQp/nfe9LXrCM5G4e38v790sMnX78QXiNXjxGO/df\nXnZW9fnkJy9c1cdZtec0s7NXcvDgl/i1X/sBbrhh+x8TY8yuK0Q7Kdsee+wxvvzlEgcPPm3D63f7\nvvRLWbL2/7uKiYm7efWrL91xq/XycpozZ05x0UXHNm097MZ3wO/3eavviVfP4ff9d/sYmcwCb3rT\nbasr0gFMTd3MBz/41tX3qrEsOXToy7ztbc8IVFly330P8uCDI+zff2jD64PwGe/0b1kr/PiMtvL5\n8jKGja5fXk7zi7/4gQti+NM/fcuOV13s9TqDF/dv9zHc8vixxx7jyJEjLd2nlbLEq2GBXwde3HD8\nKuCfdnD9rgwPD2Ntpt2HuYCGsYjsjDv0DT6z4dA3dzjJjTcu8pnP/FRLlaFuGhkZwZis54/bL2WJ\n+/973/uSux4OtGfPOM9+9tW+7/UG+DYUZ7vvCfgfo58ah/KEQp/fcCjPWllyni984ecCV5aMjw9T\nLntfL2nVIH9+ttPK56vTNAc1OBrL46uv/pCni+N4slaotXbRGPOXxpiPACXgX6y132v1+t1KJBIk\nk5ZyuUQ0Gmv34VY17nPQ2FLbaxM3Rbrhwv1PXrbh/id79ozzzGc+n9HR4K3I5zbUWGs9XSCnn8oS\nNznqVe6eJ25i0+39lVr5nvgdYxC4e9s4vZwb9yg4Zclx9u7d60OEWxsZGSEUOufLc7fy+WlMvnqx\nHGpXK5+vTgrCJsX9ZLef5+by+LHHXsatt97M61+fZny8/SH7nm3EYK39CPCRxsuMMR8FfsY6Lrje\nCxMTw8zNZRgd3efp4/r9BRTpFV7sxu63aDTKnj1RSqUC8XjS08dWWeK/VhsAOmm770kQYgyKXk7k\nh4aGgBy1Wq2rWzsoeW+dn5+vfmpw81s7n+etFse5+ur2Pxsd/eZba396R4OVd2FycoRCwfvhPBCM\nYSwiQdcvQ98mJoZZWenMcB6VJf4KwlCc7b4nQYhR2hcOhxkfT1IsrnT1ebf7/KxPvl6m/ebatN3w\ny62u92KYdRD4OQS13c/zRuXxkSN3c+yYN/WW4I3P2aHR0c7MuxLpNX4VdEEYx+6FyckRisXONNTI\n9jr5+Q1CA8B235MgxOiVQZ/308mGms0oee+e7eZOtjK3stcb3Fp5jZ3U7ud5fXn8Dxw5chPXX38p\nY2Pe/D88Gxbol5GREZwlLUUGl9/DPfph6NvIyDDwuN9hDKROf36DMhRnq+9JUGJsl99lURDs3z/C\nAw90t6Fmu8+P5vp4Y7vhl4MwvDcIr9GLz7NbHn/rWx/nF37hjS2vFtiKnk+uEokE0WiZSqVMJBL1\nOxyRrgtCQQe9PU8CnIYaa9Vz1W3d+vwGpQFgq+9JUGLcraCURX4bHh4GZrr+vIOQvPttu7mT/TAH\neTtBeI1efZ6dxXGe61mPlavnkytjDJOTIywuZrteSAz6qjsSDEEo6PpBLBZjaMhQKhWIxRJdfe5B\nLku6+fnthQaAXohxMyqLHMPDwxiT83z10Vb0c/IeBNv1mAxCD2FQXmOQP889P+cK/Bnf7Pd4U68M\n+tj4ftBPczX8Njk5Qj7f3d6rfilLdkufX2/5Wabrf+mIRCLs2ROjUOjuohat6PW5Pn7bbu5kv8xB\n3kqQXmNQP88933MFMDY2grXzXXu+fhn6oLHx/cGr7vFB7j1xTUwMc+ZMhtHR/V15vn4pS9qh4Ure\n8btM1/9yzdTUCI8+miWZHPL0cVVO+2+7HpMg96h4xYvX2M+f5b5IrpzxzY927fn6YeiDKnXB0m4h\n025B53elLChGR0ew9smuPZ9XZUmv/0gNQmWk04JSput/6di/f5iHHsoAU549psrp4Nhu+G4vD+9t\nVTuvsd8/y30xLDCVShGJlKhWK115vn4Y+qBlWYPDq2Fhu+0e1/4na4aHu7u1gxdlSb8MK/RieMcg\nD3MOUpke1KE63TQyMoIx3g0xVjkt/WIQPst9kVwZY9i/f6hrcyWCNN50t/ohQeymTlXaglDIBKlS\n5rdEIkEyaSmXS115vnbLkiB8foKiX5LM3VKZHixOQ00Wa60nj6dyWvrFIHyW+yK5gu5PRO/1Hbb7\nIUHslk5W2oJQyKhStl63F8hppywJwucnCJRkelemD3Lvn5ei0Sh79kQolQqePJ7KaekXg/BZ7os5\nVwBjY8NUq4tdfc5eH1OrsfHb6/Q8hiAsaapJ6OtNTY3w+ONZRkf3de05d1uWePn56eV5W92aBxv0\n90hzL4NlYmKExx/PEI8n234sldNrgv49lK0Nwme5b5KrkZER4HG/w+g5vZ4gdlqnK21BKWSUaK/Z\ns2cYa7u/AehuePX56fVKdTcaKXrlPdptmR6UBTH6ycTEMA8/nAUmPXk8ldO98z2UrfX7Z7lvkqtU\nKkUolKdarRIOh/0Op2vUgtNZ3ai0BaWQUaLtcBpqHvY7jJa1+/nph0p1pxsp+uE92k4/rIIbNHv2\njGDttMePObjl9CB8DwdJP3+W+2bOVSgUYt++IQqFnN+hdM2gT+Duhm7NTdPqWsGRSCSIxSpUKmW/\nQ2lZO5+ffpm31cl5sP3yHm1lEOZBdJuzTUx3NyXvZ4PwPWyV5kYGW98kVwCTk92diO4nTeDunl5f\nvER2xhjDxMRwVxfI8VM/Vao71UjRT+/RZrTIkfdisRhDQyHPFrUYdIPwPWyFGtaDr2+GBQLs2zdC\npTIYyZWGcHRXP3dfy4UmJ4c5ezYzEBXLoMz7C7JBeY+CMkS5n0xODnPuXJZYLOF3KD1vUL6HW9HQ\nyN7QV8nV8PAwxpz1O4yWtTNfKgirzIn0q717R7B23u8wukaV6u0NynukhiRvTU6O8OijGUZH9/sd\nSl8YlO/hZtSw3hv6aligk1ytUKvV/A5lW+1262oIh0jnOHMlBqMX3KV5f9vTeyQ7NTKieVdeG+Tv\noYZG9oa+6rkKhUKMjycpFHKkUiN+h7Mpr7p1B70FR6RTUqkUkUiJarVCONxXxaSIdNHIyAi12kN+\nhyF9QkMje0Pf1RomJ0f4/vezgU6uvOzW1RAOEe8ZY9i/f4hsNsvw8F6/wxGRHhWPx0mlLOVyiWg0\n5nc4gaAtZNqjhvXg66thgQD79g1TKgV7OI+6dXdGS46KH6amRgZmxUAR6ZyJiZGBWcl4O1rpzhte\nDI1U3apz+i65GhkZwZhgV4g0X6p1KojFL3v3DlOtqkIkIu2ZnBymUAh2vaQbtIVMcKhu1Vl9NyzQ\n3bTPWosxxu9wNqVu3e1pyVHx08jICPC432GISI8bHR3B2vN+h+E7rXQXDKpbdV7f9VyFw2H27k1Q\nKKz4Hcq2+mXFm051LXu1G7u6vmU3UqkUoVCearXqdygi0sPcRt9BpykRweBV3Uo213fJFThd8Pm8\nhvN0Qye7lr0oiNX1LbsVCoXYv39I865EpC3JZJJYrEKlUvY7FF9pSkQwKMntvL4bFgjO5NGHHlKF\nqNM63bXc7pKj6vqWdk1MDPPAAypLRKQ9ExPDLC6qLNGUCP9pOffO68vkyumCn/M7jL7XjfHT7RTE\nGt8t7dq3b4RKZdnvMESkx01NjXD2rEbUgLaQCQIluZ3Vl8MCh4eHsdZZ1EI6p1tdy7udm6aub2nX\n8PBw4FcfFZHgGx0dxlolVxIc/TLvP4j6MrmKRqOMjkYpFvN+h9LXgj5+OujxSfA5yVXwF8cRkWBz\nVh9VQ43IIOjLYYHgzLt6/HEVZJ0W9K7loMcnwRYKhRgfT/odhoj0uGQySSRS8jsMEemCPk6uhjl9\nWl3w3RD08dNBj0+CbWpqxO8QRKTHGWOYmBj2OwwR6YK+HBYIsGePuuBFpH3j46oQiUj7JidVlogM\ngr5NrpxFLdRzJSLtceZKiIi0Z2xMZYnIIOjb5CoWizE8HPY7DBHpcc7WDmj1URFpi1uWiEh/69vk\nCtQFLyLtC4edRppCIedzJCLSy4aGhgCoVqs+RyIindTnyZW64EXEGysrGmYsIrtnjAEgl1vyORIR\n6aS+Tq6mpiYByOWWfY5ERHpdofAYtVrN7zBEpMcVCv/K8nLa7zBEpEP6OrlKpVIALC/fT6lU9Dka\nEelll102zOzsGb/DEJEe99KXXg48wNzcE36HIiId0NfJlevKKw8xO3u/Wp1FZNeOHXsa0ehZ8nnN\nvRKR3RsdHeXaa69gfPwsTz75PS2WI9JnBiK5uvjioxw7luDcuQf9DkVEelQ8HucFL7iIdPohVYZE\npC3JZJIXvegKLrkkzxNP3Ee1WvE7JBHxyEAkVwDPfvYPcOhQjrm5ab9DEZEedfjwIZ76VEs6/aTf\noYhIj0mnnXlWCwsLAEQiEV7wgmdz/HiSc+e+RalU8DM8EfHIwCRX4XCYK6+8nFhsWhNJRWRXjDEc\nP/4DVCqPUC6X/A5HRHrELbfczvHjHwA+wxVX3MYtt9wOOGXKs571dH7kRw4xP38v2axWEhTpdQOT\nXAEkEgle9KJnkc8/QLGY9zscEelBQ0NDHD9+kNnZ7/sdioj0gHQ6za23PsyZMzcCL+PMmRu59dbT\nqz1ZAE95ymFe+tJnUip9lyef/B6zs0+wvJymWMxrGLJIj4n4HUC37d27l6uvvogvfvE+Dh48Tjg8\ncG+BiLTp0ksv4pFHvsHS0jyjo/v8DkdEAuz+++9nevrKdZdNT1/FqVOnuPrqq1cvGx8f52UvO87c\n3BzLyzkWFuZYXFxhcbGMtQkgCaQIh+OEw1HC4cgGp3B3X5yIXGAgM4vDhw9xxRVZvvWtf+Xw4ctX\nN/YTEWlFKBTi+c9/Bp/97IMMD+9VhUZENnX55Zdz5MhtnDlz7eplR47czbFjb73gtslkkiNHjqy7\nrFqtUigUWFlZIZ/Pk83mKRYzFIuVC06VSg0IA269xmCtu4Hx2mWN59euWztZG8HaGMbEiERiRKPr\n/4ZCAzXwSWRHBjK5ArjssqextPRtTp9+gERiD5FIlEjEaQly/kZVYRKRTY2NjXHs2CgPPPAoU1OX\n+h2OiATU2NgY119/CbfeejPT01dx5MjdXH/9pYyNjbV0/3A4zNDQEENDQ9ve1lpLtVrFWrs6nHCj\nv82n5svL5TKlUolisUQulyGXK5HLlVhZKbGwUKJ5pOJaArcaNeAkZ9bGgBih0FqCFosliMeTLb1+\nkV4zsMmV0/J8OQcPPsHKSo5CoUI+X6ZQKJPPlykWy1Qq4LxF2/VshYAwxoSBMNY6f91TOBwjHk8R\njyeJxRLqKRPpE5dddimPPnoP+fwUyeSw3+GISEDdcMN1vP71aU6dOsWxY29tObHaKWMMkUjnq3aN\n88A2mhNWqVRWEzT3lM+XyOWy5HIlFhdXSKdrGDNKKDTK0NAoyeSwesSkLwxscgUQjUa5+OKLNr2+\nVqtRLpe3fAxrLbVajWq1unpqPs5kVlhcnGdxMc/iYglr4xiTolZLEokkSSaHSCSGiESinr4+Eems\nWCzGC15wCV/4woMcOnRcDScisqnx8fF1c6x6WWNZt1G5F4vFiMViW/a2FYtFlpaWmJ9f4oknzjM7\nm6dWG8aYUZLJPcTjKWKxhBIu6TktJVfGmHcAPwY0Nk8YIGytfZExZh/wPqBcv80vW2sLTY/xTuB5\ngLtBzIestfe0GX9HhUIh4vG4p49Zq9XI5/Orp6WlHOn0DHNzOUqlMDAEDBOLDZFMDhOPJ1WwiATY\nwYMHuOSSc3z/+w8yPDxOIpEiHk/peysisoV4PM7k5CSTk5NcdpnT25XJZFhYWOL8+bMsLuaZmytS\nrUYJhZJYmwSc4YTxeJJoNE4kElWjlgROqz1XS8AfWGs/7V5gjHka8Pb64R8CN1lrTxtjfhR4Z/3U\nKAz8d2vtV9qMuaeFQqF1Y6cb560WCgVyuRyZTJb5+Xnm5s4wO1uoFyhDQIpEYmh1iKEqbyLBcPz4\nZUxOniWdniWdzjE3V6BWc3qorU0RjTotsFsxxmBMiFAoTDgcJhRyT/qei0j/i0QijI2NMTY2xiWX\nOJdZaykWi6sN0isrBRYWZllaypPNFikUqkAcY+JYGwfihMNxYrE44XCEUCiMMSHC4fBq+RoKhZSQ\nSUe1mlydBU4ZY37MWnunMeapwOXA5+rXH7LWngaw1n7BGPObGzxGDnijMeYNwAzw7uberUGXSCRI\nJBLs27ePiy5yLqvVauRyOVZWVshmV5ifP086vVJPuhJACkgRiSSIxdZOqpCJdE88HufSSy/m0vq6\nFtbaekVghZWVFRYXl1hentl2v5pSqUqlUqVcrlEuVymXq1SrFmcuZwhjGud2OnM9G6+DjZZmXjs5\nFQ1VKkSkNxhjVutGG81Tq9VqFIvF1VOhUCCbzZHNpimVqheUqZVKjUqlWi8zt68nrV9pcaPVFp1E\nzVpTf7y189a6twuxtgrj2u3WP86Fz+u+fmNCTX/Xzkci0dVePJXtwdHynCtr7SPGmJgx5tVAyFr7\nMWPMT7pXN998g/v/gXveGPNa4DeBm3YecuvcDfoWFhY6Nnm000KhECMjI4yMjDA1xWrlzR1euLKy\nQi63QiaTYWlplkymwNxckVotgjGJegIWx1lwI9TQOh5a93d9S3m4XhFT647IbhhjSKVSpFIpAJ76\n1N0/lrv610bzOZuP3SWbN1qiOZutUCzWMCYJOENsYjF3oZ0k0WhM33cR6SmhUIhkMkky2frKg+5c\n+VY2Z95oNcXG842PtdX5zY43e05XrWap1Zwl9p3zlmrVOV+p1CgUyiwu5kmny0ACY5yyPRx2FlBL\npUaIRmMtvzfijZ0uaDEHXAzc3XR58yd040/Mmk8Cr9nsyptuumn1/IkTJzhx4kTLAbpuueV2br31\nYeAzXHHFbVx//SXccMN1O36coGocXjgxsf46ay2lUqleyXJacmq1GpVKpd5qU6NarVGtOl/SSsVp\nzXFaeSrk89XVFh53JURn88IRYrFhkskREomUKmLiuZMnT3Ly5ElPHsuLciQI3NW/vFgBrFqtrpvz\nubi4xOLiORYX88zPVzAmAcRwGmTWL50cicR2Nb/hwttvff+1llmVL7J7KktkM8aYvttqx21Yc8v2\n5eUcS0vznDu3TLE4TDQ6yd69E1o4bRd2U5aYVjL3eg/VncBPWGs/bIw5jpOYPcVa+3FjzIdx5lw9\nXJ9z9aPW2uY5V42P93LgOdba39vgOttKTFtJp9McP/4Bzpy5cfWyo0dv5t5738L4+Hhbjz1I3JaV\nSqVSH5aYZXY2w/nzGZaWSsAw1g4Tj48wNDSqPStkW+fOPcJVV4U4evRoS7d3hlvYHdeyvShHNojD\ns5XG9MYAACAASURBVMcLIvfHuXnp5Gy2uLq/TaFQvmB/m804rbObH291v2q1xtqQmdC6v8ZEgDi1\nWgxj4kSj7im2OsFd+t+5c/fz4hdPMtHcuriJoJQlIt1Uq9VIp9NMT8/w8MNpSqU9xOOTjI7uJxwe\n6AXDV50/fw+veMUzGR5ubTuVVsqSVt/ZIeA11tr/CWCtvdcYcxXO6n8fB94B/IExJoPT7HnBtuPG\nmP8E/CDOioI54NdbfO4du//++5mevnLdZdPTV3Hq1Km+WQa1G9zWnXA4TDweZ2xsbHUBjkqlQjab\nJZPJMDub5uzZR1hYMFg7RiIxxvDwXnVFi/SQnWxU2g3NQ2ncv5VKpWF+RZFsdols1kkCl5eLlEo1\nrI1gTBRjolgbAaJAFGOcuWfre8bWzrt/14ZHrx8uraHSItJLQqEQ+/fvZ//+/TznOVXm5+c5c2aG\nRx/9PpXKXuLxCYaHR7ddcEl2ptXk6hrgUmNM47g6AzwTeIe1dhr4meY7GWN+AThnrf2MtfZPgD9p\nN+BWXH755Rw5chtnzly7etmRI3dz7NgFOZ/sUiQSYe/evezdu5cjR+D4cVhZWWFhYYEnnpjh8ccf\nolRKAGOkUmMNmwM6FRktuCEiW3EToI3Kiq1aGN39Ccvl8upGpu75QqFMsZinVrP1217410ng1hYU\nKZerFAruUOkqzjDpKI3DJ2Ft6GQsFt/1EEoRkU4Jh8OrS99fcUWFubk5Hn98jnPnHmZ+voYxezBm\nD6nUHlKpEfVstaGld85a+wu7eXBr7Yd2c792jY2Ncf31l3DrrTczPX0VR47czfXXX9qzi1r0CncC\n/+HDh3n+8y2ZTIZ0eoHp6ceYn8/VJ2M6c72cYRaNq+WEcCosa63MTktzlHA4QjQaI5kcVuuKiGzJ\n3Z/Q6z0KYW1xkXK5vDp00ulBK5HLLZHLlcjlnGGUzhLRsXVLRIdCFw5dXJ+AmQsua+5Vc2/nJp4X\nLlSkhE5EthaJRDhw4AAHDhwAnA2dl5eXWVhY5ty5R5mZyVKpxIERnAaltfpa44qH6+fINjaINV8H\nzeXb2t+NFlXr7TlxLc256iYvxzen02lOnTrFsWPHlFgFUOOwH3dul9vK7LY0F4tl8vkyuVyJmZkM\nuZzFmD3AyGrriuZY9A7NuZJB0bhEtJuE5XJFMpkixWIFuHBVMPcy92L3ssbbupc1rhjmnnf/OhWf\nC5fvdy+zNlyfuxYmFIqsWyXWGQruLt8fDWwlR3OuRDrHWksulyObzW6xGuL61QvdhnP3cvfUXHY1\njxSo1ezqKIFSqUq5XKFSsavbjTjl11rytr5hvjHpc7/nNFxOw9+N1WppXvWq5/oy56onjY+Pa45V\ngDUP+4nFtp+j5bauLC1lOHdumpmZDKVSBNhDODzKyMgYiUSqw5GLiGxtN0tEe6GxwWq7Zfur1SrF\nYolSqUqxWKFcXvtbKDgNW5UKGBPDGGc0gbXOyR1V0JiMrSVoa3uqqSdNpPcYYxgeHm454fBa8xYk\njUvYN5/cJe0bl8l3/27UMNJ8mTH7PZ9r3NfJlfSfeDzOxMQEExMTPO1pa5u1Li8vMzOzyOOPT/Pk\nkzWM2Us06iysoVUMRWRQNC5EFI2236vvDoN0h0KunS9TLJYoFiuUSpXVBM3dzqNUqtRbqC8cSrR2\nftNX0UJkRYyZavv1iUjweLkFiR96M2qRusbNWg8cOMBznkN9/55Fzp9fZHr6EdJpA4wRi40yNDSq\nni0RkRa5iVoisbv5rlttptp8u53qdq+giEgrlFxJ33GH4hw8eJDnPtdZxXBxcZGZmUWeeOJRzp2z\nwCjhsJNsJZPDGroim0qn0wAsLCxo7qbIDvXjhq0iIltRciV9z+3ZOnToEM99LhQKBZaWlpibW+Ls\n2Sc5f74A7AGGMMZZQtldSjkajQV6Urd01i233M6ttz4MfIYrrriN66+/hBtuuG7b+4mIiMhg6uvV\nAkVaUalUWFpaYmVlhWKxzMpKiZUV528+XyafL1GpGNxNSCFS35g0Ut+stHFVrQs3JG3erHTtFGqY\n8O0u7rG2cWk/9qb10mqB6XSa48c/wJkzN65edvTozdx771sYHx9v67FFpLu0WqCIeGHgVwsUaUUk\nEmHfvn3s27dv09u4k7orlcrqkvFr5ysUCiuUy9XVpUeBTZcgdZctbVym1L3M3ay0XK7VJ307yyUb\nE15dPtnaMM5X17lubdnkSNO+N+sTt8bjzbirN/ZrcrcT999/P9PTV667bHr6Kk6dOqVVSEVERGRD\nSq5EWuBO6u4Wd9K3uxRppVJZd949LpUqFArFdUsob5a4Vatrid9m3P0mKhUnuVvbYyJcP+8kd1vt\nk7PRBqiuUqkA9MaCIpdffjlHjtzGmTPXrl525MjdHDv2Vh+jEhERkSBTciUSQI3LKftloz1xNkr2\nmvfJqVZrNI+icXvw9u6F4eFJH17Nzo2NjXH99Zdw6603Mz19FUeO3M3111+qRS1ERERkU5pzJSKB\nFYR5Eul0mlOnTnHs2DElViI9KghliYj0vlbKEiVXIhJYqhCJiBdUloiIF1opS7baIl1ERERERERa\npORKRERERETEAz2dXJ08edLvELalGL2hGL2hGIPznDulGL2hGL2hGIPznDulGL2hGNsX9PhgdzEq\nueowxegNxegNxRic59wpxegNxegNxRic59wpxegNxdi+oMcHA5hciYiIiIiIBIWSKxEREREREQ8E\ncil2v2MQkeDY7fLJnYhFRHqXyhIR8ULP7XMlIiIiIiLSizQsUERERERExANKrkRERERERDyg5EpE\nRERERMQDEb8D2C1jzCuB1wJV4CvW2j/2OaR1jDH3Al+tH1astb/iZzyNjDEh4Gbgedbal9UvC8z7\nuUl8gXs/jTEfwGmgeArwEWvt7QF7Hxvj+2tr7V8F7X00xrwfiAJTwLestTd3+z0M0v9sI0H7n7mC\nXo7U4wl8WRL0cmSDGFWWbB5DoP5vzYL2P3OpLPGGyhJveFKWWGt77gSMAJ9uOP4w8HS/42qK8XN+\nx7BFbP8X8Dw3xqC9n83x9cD7GQbuDdr72Bxf/fzn/Y5nizj/HHhON9/DoP7PmmIM5Gc/6OXIRjEG\n/P0MdDnSGGP9vMqS9c8Z2P9bQ0xB/eyrLPE2VpUl3sW5q7KkV4cFvhC4s+H474BrfIplM2FjzHuM\nMR82xrzK72AaWWs/Za39ZsNFgXo/N4gPAvx+AklgjoC9jw3c+ABCQXwfjTHjwATwTLr7Hgb1f9Yo\nkJ/9oJcj0HNlSdDLEVBZspUg/99cgfzsqyzxnMoSD7RTlvTqsMBxIN1wnAae5lMsG7LWvhjAGBMB\nPmaMud9ae9rnsDaj97M9vwv8NnAxwXwf3fgC9z4aYy4FbgX+LfATdP891GffO4F/LyHQ72fQyxFQ\nWbKVwH/+g/Y/20Lg30sI9PupsqQNXpQlvdpzNY/z5XON1y8LHGttBfg88Cy/Y9mC3s9dMsa8Hfhn\na+1XCeD72BTfqqC8j9ba0/b/tHf/0ZGd9X3HP19Jq9WvWVlaS7KBZVk75jhZQ4+XEGziJGsc40MA\nh+I6QN0DPeFAE2LYOKGkPWDsbmhSTpMsbuyGYkoal00dzLqFgkmxAREH2zFkDaQryHFt1pax0Wp3\ntKsZabVaSU//mJn1rCzNXM19Zu5z77xf5+gczYxm5jv33vnq+T7PfZ7r3JtUOv/6JpU6fFq5DYPb\nZ+sJZZ/VkJptKYW1PUPPIxK5JIIg99taQtlnNaRmW0phbU9ySXw+cklai6tHJV1VdftaSd9MKJYo\nLpf0vaSDWEPlCtOhbs/1roAdxPY0s/dJOu6c+3z5rqC24xrxrRbEdpTOJNVOSeNq7TYMap9FEMw+\nqxJ6HpECziWh5xGJXBJRcPutjmD2WRVySQzkEr/i5JJUnhbonDtuZp81s7slLUr6rnPu8aTjqmZm\n+yUVJPVJutc593TCIa1lUQp6ey5Wfglte5rZayR9SNJ9ZvZnkpykmyUFsR3Xie+jKg11B7EdzexS\nSb8nqajSec1/5ZybbOWxGPCxf0Zox/4aQs8jUqC5JPQ8UiNGcskqgR//ksI69tdBLmkQucRbjF5y\niZVXvgAAAAAAxJDW0wIBAAAAICgUVwAAAADgAcUVAAAAAHhAcQUAAAAAHlBcAQAAAIAHFFcAAAAA\n4AHFFQAAAAB4QHEFAAAAAB5QXAEAAACABxRXAAAAAOABxRUAAAAAeEBxBQAAAAAeUFwBAAAAgAcU\nV23CzN5gZudV3f5DMxuu85yfN7M7mxTP5Wb208147bjM7MVmdn+EvzvfzN5QdfsaM3trc6MDkkUu\niY5cAqyPXBIduSRdKK4CZ2ZfNbOHzOxrZvZtM/vPZrapgZf6NUkvr9xwzv1b51y+znO6JHXWie83\nzWzGzM7fYDyvl/TqDT6nVep+7rKXS7q+csM593+cc/c2LSogBnJJIsglyBxySSLIJSlCcRW+Lklv\nc85d5Zx7taRZSe9KOCZJkpl1SHqnpA9JujHhcADURi4B4AO5BKihK+kAUJepXASbWY+k8yU9VL79\n55J2SOqV9KykG5xz82b2YUkFSb8s6QlJ50naLemfmNlXnHMfLg8vv8s596yZfUDSdSr1ipik9zjn\nJiLEdp2k+yT9N0kHzWyvc+5UObafl/QvnXPvOfNBzH7onLvYzPZJeoukk2b2S865d5vZqKRPlD+f\nSZqQ9CHnXLH83N+R9E8lnZY05Zx7xzrP+dfOuTkzu0HShZIukbRc/vtvS/pcebt8SNKMpNsk5VT6\nLvyJc+6LZ2380ikLfy6pR9KQpC855z5iZu+S9NuSzjOzr5Vje7Oklznn/r2ZdUm6VdIvlWMuSLrJ\nOfekme2Q9MeS5iSNSRqUdLNz7qsRtjnQKHKJyCWAB+QSkUtQg3OOn4B/JH1DpaT1iKRvSnp31WNj\nVb//gUrJR5JuKT+vq+rxz0j6xarbX5f00jVe5/WS/rL8+y9J+kyN2MYlDZV/v7ny/us9V9KTVb/f\nIumdVbcfkPTWqts3Sfov5d8/IOnPJHWuer1az3mXpEOSBqoeL0q6tur21yT9dPn3zeVtPChpu6Sv\nl+/vk9Rf9ZyHJF201mcsv+dHy79/RNInqh57jaTvqpRst6vU07ej/NhLJf0w6WONn2z/kEvIJfzw\n4+OHXEIu4af2DyNX6fA259zkGvdfYWbXSxpRqRfo7qrHxp1zS1W3bdVzq2+PmdnHJb1YUr+kk/UC\nMrNflDThnJsp3/VJSV+RtOGJpmY2oFIirT4v+BOS/l/593dIerNzbjnCc56ouv2oK/cwlXWWY6w8\n/1WS7jCzyrbok7RNpd6cilOSfsfMXqvnE9x5kh6v87F+VdKZSaXOub8zs2ckXSxpXtL3nXM/Kj/2\ntJn11nk9wAdyCbkE8IFcQi7BOiiu0mF1ApKZvU7Sb6nUY/QjM7tRUvUqOz+K9MJm/ZLulXSDpL9X\n6Uv2nyI89YOSRs3s61UxvsjMrnbO3S/JqZQUKu9TawWglfLfnxVa+f6K1RM513vOctXt1dvgOefc\n6arbzzrnXrc6GDPbXnXzFpWG59/tnMub2ee1xv5Yw9Ia91V/psVVjy0LaD5yCbkE8IFcQi7BOljQ\nIr0ulHR/OYH1Sfpndf7+uM5OchUvkvSEc+7vyj1K76z3xmb2MyoNhV/mnHtd+edKlc7t/e3yn01K\n+oXyOb6S9JsqneP7gnicc/OSJsu9XRU3Saqc63uPpI9b1WpEEZ6zZuhVzy9KKlQ/v9xrtNqFkj5X\nTmA7JP3CWp9hDf9T0kcrvU/lHqbznHP/uDqWdW4DrUIuIZcAPpBLyCUQxVUanNbavQ2fl7TbzP5W\n0n+XdJee70VZWuM5fy3pj83si+XEclqlCZWPS3rczB4zsy+odO6uq/E6krRH0r7Vdzrn/l5St5ld\nWB5a/rSk75jZlyQdlnSs6s/HJf2Wmf21mY2plDyvNbOvm9m4pJep1AsllYbVH5f0oJl9o9xLI5XO\nJV7vOWvFvrDq9j+X9Otm9qCZ/Y2kvWs8908k/amZPSDpwyqdI17Zzv8o6cVm9k0zu3qN581I+ma5\nF+2DkirXmljW2Ql9rdgA38gl5BLAB3IJuQQ1mHOrRzABAAAAABvFyBUAAAAAeEBxBQAAAAAeUFwB\nAAAAgAfBLcVuZkwCA3CGc27DKxaRRwCsRi4B4EO9XBLkyFXUKyDfcsstiV+FmRiJkRibF2Mr8kga\nt0uoP8RIjCH9kEuIkRjDjjH0+NaKMYogiysAAAAASBuKKwAAAADwINXF1e7du5MOoS5i9IMY/SDG\ncN5zo4jRD2L0gxjDec+NIkY/iDG+0OOTGosxuIsIm5kLLSYAyTAzuQYnoZNHAFSQSwD4ECWXpHbk\nKp/P68EHH9TMzEzSoQBIMXIJAB/IJQAkj8WVmXWY2cfM7CvrPP5mM9tvZneZ2W/Eea99+/Zr1647\ntHv3gi699Hbt27c/zssBaFPkEgA+kEsAVHg7LdDM3iTpOUl/6Jx7/arHcpLuds69sXz7Lkm/75x7\nfI3XqTkEn8/ntWvXHXrqqZvP3Ld9+14dPHijhoeHvXwWAGFo5qk85BKgfZBLAPgQJZd4u4iwc+5L\nlTddw2slPVB1+wuSrpT0guJKkm699dYzv+/evfusyWSHDh3S5ORlZ/395OTlmpiY0BVXXNFQ7ADC\nMD4+rvHxcS+vVSuPSOQSIMvIJQB8aCSXeF/Qwsy+usbI1TskdTvn/qJ8+0pJP+ec+/gaz6/ZSzQz\nM6NLL739BT1Ejz32fg0NDfn6GAAC0MzeZnIJ0D7IJQB8CGlBi2OSqsfGh8v3bdjQ0JD27LlA27fv\nlfQVbd++V3v2XEgCA7Ah5BIAPpBLAFRrxsjV/c65q1fdd46kzzrn3lS+/ReSPtbInKuKfD6vrVu3\nKp/Pk8CAjGrF8snkEiD7yCUAfIiSS5pRXH25snDFqvvfLuktkhYlfdc59yfrPD9yIit/wDjhAghY\nq65NQy4Bso1cAsCHRIqrVQF8TtLbNpKZKK4AVNAgAuADuQSAD4kXV42guAJQQYMIgA/kEgA+hLSg\nBQAAAABkGsUVAAAAAHhAcQUAAAAAHlBcAQAAAIAHFFcAAAAA4AHFFQAAAAB4QHEFAAAAAB5QXAEA\nAACABxRXAAAAAOABxRUAAAAAeEBxBQAAAAAeUFwBAAAAgAcUVwAAAADgAcUVAAAAAHhAcQUAAAAA\nHlBcAQAAAIAHFFcAAAAA4AHFFQAAAAB4QHEFAAAAAB5QXAEAAACABxRXAAAAAOABxRUAAAAAeEBx\nBQAAAAAeUFwBAAAAgAcUVwAAAADgAcUVAAAAAHhAcQUAAAAAHlBcAQAAAIAHFFcAAAAA4AHFFQAA\nAAB4QHEFAAAAAB5QXAEAAACABxRXAAAAAOABxRUAAAAAeEBxBQAAAAAeUFwBAAAAgAcUVwAAAADg\nAcUVAAAAAHhAcQUAAAAAHlBcAQAAAIAHFFcAAAAA4AHFFQAAAAB4QHEFAAAAAB5QXAEAAACABxRX\nAAAAAOABxRUAAAAAeEBxBQAAAAAeUFwBAAAAgAcUVwAAAADgQZevFzKzN0t6u6RlSQ855z656vGD\nkh4p31xyzn3A13sDAAAAQNK8FFdmlpP0G865N5Zv32VmX3POPV71Z0edc+/z8X4AAAAAEBpfpwW+\nVtIDVbe/IOnKVX/TaWYfLxde13p6XwAAAAAIgq/TAocl5atu5yX9VPUfOOeukiQz65J0j5kdcs49\nsdaL3XrrrWd+3717t3bv3u0pTAAhGx8f1/j4uJfXIo8A7YtcAsCHRnKJOediv7GZvV7STufcvvLt\n6yQNOec+vc7fv0/SpHPuf6/xmIsak5nJR/wAwlT+jlsDz4ucR6reZ6NvAyAlyCUAfIiSS3ydFvio\npKuqbl8r6Zs1/v5ySd/z9N4AAAAAkDgvpwU6546b2WfN7G5Ji5K+u2oxC5nZfkkFSX2S7nXOPe3j\nvQEAAAAgBF5OC1z3xc0+J+ltGxlT57RAABWcygPAB3IJAB+i5JKmFleNoLgCUEGDCIAP5BIAPrRy\nzhUAAAAAtDWKKwAAAADwgOIKAAAAADyguAIAAAAADyiuAAAAAMADiisAAAAA8IDiCgAAAAA8oLgC\nAAAAAA8orgAAAADAA4orAAAAAPCgK+kAmmlubk6HD/9YziUdCYCKl770PG3ZsiXpMDZkZmZGP/7x\ndNJhACgzky64YJt6e3uTDmVDpqaOaHr6eNJhACjr7DRddNEOdXX5K4kyXVw999yUHn10UbnccNKh\nAJA0O3tUudxM6oqrJ554Vj/4wSb19g4kHQoASXNzz2p0tJi64uof/uFpTU9v1aZNm5MOBYCkhYWn\ntG3b+RoY8Pf/PdPF1ZEjRQ0Pv1iDg1uTDgWApKWlU0mH0JAjRwoaGXmlenr6kg4FgKSlpZmkQ9iw\nlZUVHTs2r7GxXeroYFYGEIKpqWe9v2amv93T0wV6mgHEsrS0pNnZ09q8OV095ADCMjc3J+f6KKyA\njMvsN/zUqVOanzd1dzP0DqBxhUJB0oDMLOlQAKRYoVCQc3T4AlmX2eKqUCjIjCQGIJ5isSgpl3QY\nAFIuny+qq4tcAmRdhourosxIYgDimZ4uqLubjhoA8Rw5wlQFoB1ktrg6cqSgzZtJYgDimZ4uqreX\njhoAjXPO6ejROYoroA1kuLgqqq+PBhGAxi0vL+v48VOsEggglrm5Oa2s9KizszPpUAA0WSaLq8XF\nRRWLy+ru7kk6FAApVppv1c9iFgBiYe4m0D4yWVwVi8y3AhBfoVDQygqn8QCIZ2amoI4OcgnQDjJZ\nXM3OlpZOBoA48vmiurvpqAEQD1MVgPaRyeJqerqozZtJYgDimZpidS8A8TjnygvjtEcumZ3N6/vf\nf1CFwkzSoQCJ6Eo6gGaYni6ot3dH0mFkwuxsXocPH9KOHZcolxtKOhygZVZWVpTPn9TISH/SoQBI\nsZMnT2ppqVudnZlscp3lnnv268CBJzU9fZlGRm7XddddoOuvvyHpsICWytw3/fTp0zpx4rTOO683\n6VBSjySJdlYsFuVcnzo6MjnAD6BFCoWC2mExi9nZvA4ceFJTUzdLkqamrtaBA3t1zTV5bdkynHB0\nQOtkrtVQWsxigNW9YqpOkisrV2tq6mYdOPCEZmfzSYcGtESpuMp+gwhAc504UWqXZN3hw4c0PX3Z\nWfdNT1+up56aSCgiIBmZLK7aoYeo2UiSaHfHjhXU1ZX9BhGA5pqaKrTFYhY7dlyikZFHzrpvZORh\nvexlOxOKCEhG5oqr6emCurtpEMVFkkS7Y3UvAHG102IWudyQrrvuAo2N7ZX0FY2N7dV1113IfG20\nnczNuTpypKje3u1Jh5F6lSR54MBeTU29WmNj3yZJom2srKzo2LE5bd3KYhYAGrewsKDFxS51dW1K\nOpSWuP76G3TNNXn96q9u1Z135mkzoC1lqrhaWlrSiROnNDral3QomUCSRLuan5/XykqvOjs7kw4F\nQIqVFrPI/qhVtcriFbQZ0K4ydVrg3NycnOtnMQuPSJJoR+3YIALg3+xsUWbZOb2Ya1gB9WVq5KpQ\nKMg5GkQA4pmZKaqzMzsNIgDJmJoqqKfnJUmH4QWXZwGiydTI1bFjRXV30yACEM+RI4W2mIAOoLmO\nHs3GwjhcngWILlPFFQ0iAHE553T06By5BEAsCwsLmp83bdrUnXQosXF5FiC6zBRXy8vLyudPqqeH\n1b0ANG5+fl5LS93q7MzUWdMAWqxYLKqjI/2jVhKXZwE2IjPFVWkxiz51dGTmIwFIABciRzOxIED7\nmJ3NzsI4XMMKiC4zXbPFYlHO0SACEM/x4wWZZaNBhLCwIEB7mZ4uqqfn/KTD8IbLswDRZGaY59ix\ngrq6aBABiOfIkWxMQF8tCyMmaf4MLAjQfqam0jcPvN53jMuzAPVlZuSq1CDKTg9RO5mdzevw4UPa\nseMSEjYS5ZzT9HRRW7akq0FUTxZGTNL+GWotCPCKV1yRUFRolsXFRc3NOW3Z0pN0KJGl/TuGs9G2\nSk4mRq5WVlZ07Fh4q3uluZe1Ve65Z7/e+947dNNNC3rPe27XPffsTzqkIHEstcbCwoIWF7vU1bUp\n6VC8ycKISRY+AwsCtJdCIV2nF2fhO4bn0bZKViaKq/n5ea2s9Aa1mIWvAzvLjWqSeTQkydYpFLIz\nAb0iC0soZ+EzsCBAeykU0rUwTha+YygJpW2Vhvbr7GxeP/jBY5qZ8RtjONVIDKUGUThJzNeBnfVG\nNcm8vlCSZLuYnS3KLJxc4kMWRkyy8Bmk0oIAn/rUjZJ+RXfe+X5OucqwI0cK2rw5PR01WfmOIYy2\nVRrar5UYf//3X6orrviM9u3zF2MmiquZmaI6O8NJYj4O7HZoVJPM6wshSbaTqamCenrCySU+ZGHE\nJAufoYIFAdrD9HS6FsYJ6TuWhhGPkCXdtkpD+/XsGK/R00/fottue0L5vJ8YM7GgxZEjBfX2jiYd\nxhmlA/t2TU1dfea+0oH9/siv0Q6TnyvJ/MCBvZqaerXGxr6d2gZTs2zkWGLyanzT00X196enQRRV\nFpZQzsJnQHs4ffq0ZmdP67zz0rOYhRTGd4xFNeJLum2VhvbrWjFOTl6uiYkJXXFF/BhTP3LlnNPR\no2EtZuGjByjpnodW4TSZ2qIeS2kYgg/dwsKCTp40bdrUnXQoTZH0iImP3uikPwMQRbFYOr3YzJIO\nZcOS/I75GvFg5CvZtlUa2q9rxbht28PaudNPjKkfuZqfn9fS0mZ1dnYmHcpZ4vYAJd3z0Eo0mGqr\ndyxV/0OSpKmpq3XgwF5dc03+zLZFfZUGEfyjN7p10jCCnYYY4ygUCnIunA7ftIg64lHr+CHXPC+p\ntlUa2q+rY9y27e+0Z89FGhryE2Pqi6tisahQV/eKe2CHMESfBln/Ry3VPpbSMASfBidOpGvp9S/k\nHwAAGF5JREFU5LSg+Pcr7Q3LNMQY1/R0UZs3b006jNSJchp8reOHXBOONLRfq2P81ree1rZt27y9\ndupPC5yZKaijI7u9zYzq1MbpcOEMwdc7FWN2Nq8f/vBRnThxoqVxRTU9XVRPT3ZzST3NOpWGRVn8\nqZXvop5SleQpU2mI0YfSPHA6ajaq3mnw9Y6fLOWatH8HpHS0Xysx+hqxqkj9yNX0dFG9vfQQtSN6\nqUpCGIKv1xv9/OOv0ac/fUC/+7v/oJtuCqu3utQguijpMBLRzNEEHwv8oH6+izKCnfSoURpi9OHE\niUWNjfUlHUYq1RrxqHf8ZCXXZOE70O5SP3J15EiRHqI2laVeqriSnLxarzfx7Mdfrx//+N95XfLU\nl7k5p+7udK3u5UOzl81t5RLPWejtXU+9fFdvBDuE5ZHTEKMf/Q0tZpHl43cj1hvxqHf8RM01IW/n\nNH0HQt6OSfM2cmVmb5b0dknLkh5yzn1yI4836vTpLnV1bfLxUkiZrPRS+ZLUEHy93sRmL3nqS7vO\nt2rFnL1WnH+f9d7eevmu3gh2CHMz0xCjHxs/vTjrx68PUc7SqJdrQt/OafkOhL4dk+Zl5MpKS2z9\nhnPuBufcOyW91swuivp4PO07RyKKLPcshHTRw3ZWrzex2Uue+tO8XBLy97BVc/aaWfynqbe3UVHy\nXa0R7FDmZqYhxrg2bdpYR007HL++RDlLY71cs5HtnFTOTsN3IKTjNdT/reaci/8iZtdI+hnn3L7y\n7eskbXXOfSrK46tey0m3VN2zu/yDjdsv6UlJl0l6RNIFkrLYs5CXNCFpp6SkCqu8pEOSLlknhnqP\np91+SU9IulzSw5Iu1NnHWr3HK8bLPxX/Ts65DZ9fE1YeScP3MOr+CdWDkhYkXV113/2SeiWF09vr\nR5x8l4b97CvGcaUnl7TT8ZukqNs56Zwd+vc0lOO1VftpXBvNJb6Kq3dI6nbO/UX59pWSfs459/Eo\nj696LRc1pmeeeUYPPjiv889/+bp/c+WVpm98Y/3Xa/bj9cR9/nqvMTub13vfe8eZyc+SNDa2V5/6\n1I0vWOyhWTH4fI9WPL/Rz1AZHp+a+lmNjX1n3cUc1nt8IzHG1czjfXY2r6eemtDLXrZzzdGJ2dm8\nDh58QG9968V65StfGSleM2u4QbSR3DYx8bgOHerVyMhL1ny80ePH5/ew2d+xevuvFTE0+vxCYUbv\nec/tL9jOd975/hd8ltD/J/h6jfX42M+zs6XTrr74xfVP8YzzGaLGeOTIEY2MjER6zVblkm9963s6\nevQlGhxce6GttbbLRo7f9V7D5+OtkEQMUbZzKDnbx/c0ikZi3OjxGuf91/sbn/tpauo7euMbL9bA\nQLQR5yi5xNeCFsckVX+a4fJ9UR9vSC6Xk1kx7susqzLEGdpwYxQs9vC8Zu7Hs1fwekPNxRzWejxL\ntmwZ1iteccW6yXXLlmFdfPGrNTg42OLI6hsaGtDycsH766bpe1hv/4Ws+pS5jo77OUW4hrj7ubIc\nvHRf0y5/keZjcWwsp4WFjbVLOH5bI8p2DiVnh/wdCOF4DWU/rcfXghaPSvqApH3l29dK+tgGHm/I\nwMCAzObknGtoZZ5aKqMNlX8gaZusx2IPJc3ej40s5hDi5NR2l8vlJD3j/XV9fQ+rOwhC/GcbgspE\n9lJv78Z7UFHfC5eDf0NbXv6ili1bBuTckQ0/L+rxSy6Ip952jpqz22E/1PqMSefb0Nu4XkaunHPH\nJX3WzO42s7skfc8593jUxxvV2dmpwcHNWliYj/tSZ8nCaEMIPQtJa8V+bGQxh9Amp0Lq6+tTR8dJ\nLS8ve31dH9/DVowUZEXc3t64o9w+RslDPmMilN7iyjY6fvx4S983ilJHTWNn1NQ7fskFftTazlFy\ndlb2Q61cE+UzJjm6Fnob19tS7M65uyXdXX2fmX1O0ttcyQse92F0dECHDxfU29vv7TWzMtqQdM9C\n0lqxH6uXhp2evlwjIw+f9QWv93hFO/SChayjo0Nbt/ZrYWFO/f1bvL52nO8hIwWtE3eU28coeehn\nTITQW1y9ja66ar9uuumioC5I3tPTo+7uJS0tnfZ6mRhyQevUytlZ2Q+1ck1InzHk0bNamnoRYefc\nr21oJmgDRkZyWlz0O+8qTaMN9Xo5Qz5vt9latR8rS8N+4hO9ay4NW+/xrPSCpd3o6IDm5/3Pu5Ia\n/x6GMlKQdXFHuX2MkqfhjImke4tXb6PJyVuDuyC5mWlkZEAnT/ptl5ALWmu9nJ2F/VAv14TyGX2M\nniV1JkBTi6tWKK3u4bdBlPQ/kKjapVHe6JdjI/sx7hcwymIOaz2ehgZVu9i6NaelpeYtkNOINHX0\npFncxoSPxkgoDZp66nUWNVOtC5KHpBkdNeSCMGRhP9TLNSF8Rh9toyTbyJkorpwryvcAWSv+gcRp\n0LdLozzulyPKfkzyC5iWBpUU9lwQH0oL5DRn5KpRaeno8SHJ4ytuY8JHYySEBk1USZ0RkZYLkp9z\nTk7O+e2oaadcEDJf+yHkfBfCsRa3bZR0G9nbnKukbNq0SYODm3Tq1En19PR5fe3KP5BmiHtufZrm\nhTU6n8jXeb+19mPS5xaHMIehotZ+Cn0uiA+l4mpeKysr6ugIp98p5PPKfUn6+Io6N7JZz/f1Gll3\n9ja6TC960be0Z8/LNTQU1jYqnVFz2PvrtkMuSIO4+yEN+a4Vx1qtNkfctlHSbeTUF1dSad7VM88U\nvRdXzeKjQR9So7yWOEmkFV+OpL+AoTSo0jK5tZk6Ojo0PNyrhYU59fXlkg7nLM3s6ElaKMdX3MaE\nj8ZIVhrPzVygp7KNDh78sm644V/ooosu8vr6PvT19amra1HLy0vq7PTbzMpyLkiTRvdDmvJdkgMM\ncdtGSbeRw+mejWFkZECnToV1Ok8tPk4FC2HYtp64w7KtOE0mhFNxkpzDIKVncmsrjI7mvE9EjyLr\np1zWEtLxFfd0Nx+ny6V9EaJWXWT44ot36ZxzzvH+2j6Ymc49tz+RXIKwZSnfNSpq2zBO2yjpNnIm\niqstWxq/rkQSfDXok26U1xM3ibTiy5H0F7AiyQZVGia3tsrWrQNaXGxtR027LEyznnY6vrIu6XkO\nIRkbS6ajBmEj322sbRinbZRkGzkTxVVpUYv0jFz5bNCH3MvpI4m04ssRepHqy3qjI2mY3NoquVxO\nZq1rEPlqjIYw8tWKVT0RtpB65ZN2zjkDWl5OT7sErUG+a22BmVQbORNzrrq7uzUw0KnFxQV1d/ck\nHU4kWTm3vhZf84lacY55vfdI+0V+a53fHMrk1hCUFrWYk3NOZtb09/Mx569Vk6ObueBJuxxfaRAn\n1yU9zyEkuVxO0jMtf996+y+E/2UhxJCkds93ocw1b6ZMFFdS6boSzz1XaGlxFTdBtMPE1CwkkaRX\n9okrygTapCe3hqKzs1ODg5u1sDCv3t7+pr9f3MZoqyZHt2LBkzQcX1lvFMbNde3QaIqqr69PHR0n\ntby8rM7Ozpa8Z739F8L/shBiCEEa8l0zZaFtWEsmTguUShPRT51q3ek87T5PYiNCPnWxnizMIYh6\nqk6a95NPo6MDOnmyNafzxD1FpBWnYbHgSUnWc76vXNcup1nX09HRoXPP7dfCwlxL3q/e/gvhf1kI\nMSAcWW5zZKa4yuVaN++KBNE+stBwZALtxoyM5LS42LqOmjiN0VbsWxY8aY+c7zPXZbnRtBGjoznN\nz7emXVJv/4XwvyyEGFolhHmwSE6Giiv/V0RfT5YSBAmgtiw0HJlAuzGlC4C2diJ6o43RVuxbFjzJ\nVs5fTxZyXWiGhwe0vNyadkm9/RfC/g0hhlbI+ig36svMnKvNmzerr89pcfGUurs3R3pOo+fPZ2XS\nLuc+15eVOQRZP7/Zp9JE9GLLFrWIq9n7lgVPspPza8lKrgtJKZc826L3qr3/Qti/IcTQbKFcJBjJ\nykxxJZVO55meLkYqruIUFllIED4TQNYneWel4djuE2ij6urq0pYtm3Tq1En19PQlHU4kzd637b7g\nSRZyfhRZyXWh6O/vl9m8VlZW1NHR/BOF6u2/EPZvCDE0k48VYJF+mSquRkcH9PTTBQ0Obq35dz4K\ni7QnCF8JoF1Gv7LccMQLjY7mNDlZTE1x1QpZ+A7E6QhKe86PKgv7ORQdHR3aurVPCwtz6uvLteQ9\n6+2/EPZvCDE0S6tGubPeqZ12mZlzJUmDg6XTeerxdf58mift+jj3uR0meaM9nXvugE6d4gKgWeJj\nHkSacz6SMTo60LJFLZC8VsxBZU5X+DJVXA0MRFsxsF0mVdbiIwG0wyRvtKctW3Iya92KgWguOoKQ\nlK1bczp9mlzSTpp5OQJyWTpk6rTA3t5ebd68rKWl0+rq2rTu37XL+fP1xD3NpR0meaM9DQwMaGWF\n3uasYB4EkjIwMCCznyQdBlqsWac+ksvSIVPFlSSNjAxoZqZQd+5Uu5w/X0+cBECRiqzq7u5WLtep\nxcUFdXf3JB0OYqIjCEkpXdphLjWrjyJs5LJ0yFxxNTaW03PPFSMtTJHlSZWtQpGKrBoZGdBzzxUi\nFVdMLg4bHUFISmdnp4aGerSwMKfe3oGkw0HKkcvSIXPF1eDggFZWjiYdRluhSEUWjY7mdPhwUdJI\nzb9rlxUz046OICRldDSnH/2oSHEFL8hl4cvUghbS8xcABYA4crn6C+QwuThdWO0PSWD1UfhGLgtb\n5oqr3t5edXUtanl5KelQAKRYLperW1yxYiaAenI5Vh8F2knmiisz08jIgE6eJJEBaNzmzZvV1yct\nLp5a92+4rAOAekqLWhTlnEs6FAAtkLniSuKifQD8GB3N1eyoacUFIwGkW1dXlwYHu3Xq1MmkQwHQ\nAplb0EKShoZyWlmZSToMACk3MjKgp56q3VHD5GIA9YyMDOjpp+n0BdpBJkeuSkPwJDEA8QwORlsg\nh8nFAGoZGclpcZHpCkA7yGRx1d/fr46OBS0vLycdCoAUGxiov2IgANSTy9HpC7SLTBZXZqZzz+1n\nUQsAsfT29qqnh04aAPGUOmpokwDtIJPFlVR/IjoARHHuuVz4E0A83d3dyuU6kw4DQAtktrgaHh7Q\n0hJD8ADiGRvLJR0CgAwYHSWXAO0gs8UVF+0D4MPgICNXAOIbGSGXAO0gs8VVf3+/zOaTDgNAyuVy\n9DYDiG/LFnIJ0A4yW1x1dHRo69a+pMMAkHK9vb2SpOXlpYQjAZBmpcvEAMi6zBZXkjQ6SiIDEI+Z\nSRIL5ACIZfPmzZKkxcVTCUcCoJm6kg6gmc49d4sk6Sc/+duEIwEgSc6tqLPzgqTDaMjs7PdVLGa6\nPwpIjY6OZXV0nJd0GA05duzRM502AJLV3b2sjg6//9vNOef1BeMyM+czJjPT6dOnvb0egHi6uqL3\n6ZiZnHMbboWQR4DsI5cAiMvM1NkZ/TIJUXJJpkeuKjaSgAFgLeQRAD6QS4Bs4xwXAAAAAPCA4goA\nAAAAPKC4AgAAaLJ8Pi9JmpmZSTgSAM1EcQUAANBE+/bt165dd0i6T5deerv27dufdEgAmqQtVgsM\n7TMCiCakFb7II0B6JZlL8vm8du26Q089dfOZ+7Zv36uDB2/U8PBwrNcG0FpRcgkjVwAAAE1y6NAh\nTU5edtZ9k5OXa2JiIqGIADQTxRUAAECTXHLJJdq27ZGz7tu27WHt3LkzoYgANBPFFQAAQJMMDQ1p\nz54LtH37XnV03K/t2/dqz54LNTQ0lHRoAJqAOVcAgsWcKwA+hJBL8vm8JiYmtHPnTgorIKWi5BKK\nKwDBCqFBVBWHt9cD0Fqh5BIA6RYll3RFfKEPS/plSdUZxiR1Oud+0cy2SvqEpNPlv/kt59zCqtf4\niKRXSXqufNdnnHPfifRJAAAAACBwkYorSSck/ZFz7suVO8zspyR9sHzzjyXd6px7wsxeJ+kj5Z9q\nnZL+o3PuoZgxAwAAAEBwoi5o8aykCTP7ZUkys5dKukTSV8uPv8g594QkOee+Lunn1niNOUnvNrNP\nmdnHzKwnXugAAAAAEI7IqwU6534kadLMrpP0Gufc/6p+ePWfr/H8P3LOvds5915J/1fSv2kk4I3I\n5/OSpJmZmWa/FQAAAIA2F/W0wIqjknZIenjV/auLqZU6r/NFSdev9+Ctt9565vfdu3dr9+7dkQOs\n2Ldvv2677UlJ9+nSS2/Xnj0X6Kabbtjw6wBonfHxcY2Pj3t5LR95BEA6kUsA+NBILom0WqCZvVXS\nA5Le4py7y8x2qVSYvcQ5d6+Z3aXSnKsny3OuXuecWz3nqvr1fkXSK51z/2GNx2KvzJPP57Vr1x16\n6qmbz9y3ffteHTx4o4aHh2O9NoDWCWWFL1YLBNItlFwCIN28rRYoqV/S9c65/ypJzrmDZna5Sqv/\n3Svpw5L+yMwKkrolvX+NYP6VpNeotKLgnKQPRf0gG3Xo0CFNTl521n2Tk5drYmJCV1xxRbPeFgAA\nAEAbizpy9RlJF0parr5b0sXOufNrPO/XJf3EOXdf5IA89BLNzMzo0ktvf8HI1WOPvZ8L9wEpEkpv\nMyNXQLqFkksApJu3kSvn3K83EoBz7jONPC+uoaEh7dlzgW67ba8mJy/Xtm0Pa8+eCymsAAAAADRN\npJGrVvLZS5TP5zUxMaGdO3dSWAEpFEpvMyNXQLqFkksApFuUXJLp4gpAuoXSIKK4AtItlFwCIN2i\n5JLI17kCAAAAAKyP4goAauBi5AAAICqKKwBYx759+7Vr1x2qXIx83779SYcEAAACxpwrAMFKcp4E\nFyMHsoM5VwB8YM4VADSo1sXIAQAA1kJxBQBruOSSS7Rt2yNn3bdt28PauXNnQhEBAIDQUVwBwBoq\nFyPfvn2vOjru1/bte7kYOQAAqIk5VwCCFcI8CS5GDqRfCLkEQPpxEWEAqUaDCIAP5BIAPrCgBQAA\nAAC0CMUVAAAAAHhAcQUAAAAAHqS6uBofH086hLqI0Q9i9IMYw3nPjSJGP4jRD2IM5z03ihj9IMb4\nQo9PaixGiqsmI0Y/iNEPYgznPTeKGP0gRj+IMZz33Chi9IMY4ws9PqkNiysAAAAACAXFFQAAAAB4\nEOR1rpKOAUA4Gr02TTNiAZBe5BIAPqTuIsIAAAAAkEacFggAAAAAHlBcAQAAAIAHFFcAAAAA4EFX\n0gE0yszeLOntkpYlPeSc+2TCIZ3FzA5KeqR8c8k594Ek46lmZh2S9kp6lXPuDeX7gtme68QX3PY0\nsztU6qB4iaS7nXP7A9uO1fH9D+fcX4a2Hc3sTyVtkjQm6THn3N5Wb8OQ9tlaQttnFaHnkXI8weeS\n0PPIGjGSS9aPIaj9tlpo+6yCXOIHucQPL7nEOZe6H0k5SV+uun2XpIuSjmtVjF9NOoYasb1J0qsq\nMYa2PVfHl4Lt2SnpYGjbcXV85d/vTzqeGnH+uaRXtnIbhrrPVsUY5LEfeh5ZK8bAt2fQeaQ6xvLv\n5JKz3zPY/VYVU6jHPrnEb6zkEn9xNpRL0npa4GslPVB1+wuSrkwolvV0mtnHzewuM7s26WCqOee+\n5Jz7+6q7gtqea8QnBbw9JfVKOqrAtmOVSnyS1BHidjSzYUkjki5Wa7dhqPusWpDHfuh5REpdLgk9\nj0jkklpC3m8VQR775BLvyCUexMklaT0tcFhSvup2XtJPJRTLmpxzV0mSmXVJusfMDjnnnkg4rPWw\nPeP5A0kflbRDYW7HSnzBbUczu1DSbZJ+VtJb1PptyLHvT/DbUgp6e4aeRyRySS3BH/+h7bMagt+W\nUtDbk1wSg49cktaRq2Mqffkqhsv3Bcc5tyTpfkk/k3QsNbA9G2RmH5T0N865RxTgdlwV3xmhbEfn\n3BPOuTepdP71TSp1+LRyGwa3z9YTyj6rITXbUgpre4aeRyRySQRB7re1hLLPakjNtpTC2p7kkvh8\n5JK0FlePSrqq6va1kr6ZUCxRXC7pe0kHsYbKFaZD3Z7rXQE7iO1pZu+TdNw59/nyXUFtxzXiWy2I\n7SidSaqdksbV2m0Y1D6LIJh9ViX0PCIFnEtCzyMSuSSi4PZbHcHssyrkkhjIJX7FySWpPC3QOXfc\nzD5rZndLWpT0Xefc40nHVc3M9ksqSOqTdK9z7umEQ1rLohT09lys/BLa9jSz10j6kKT7zOzPJDlJ\nN0sKYjuuE99HVRrqDmI7mtmlkn5PUlGl85r/yjk32cpjMeBj/4zQjv01hJ5HpEBzSeh5pEaM5JJV\nAj/+JYV17K+DXNIgcom3GL3kEiuvfAEAAAAAiCGtpwUCAAAAQFAorgAAAADAA4orAAAAAPCA4goA\nAAAAPKC4AgAAAAAPKK4AAAAAwAOKKwAAAADw4P8Dij88Cp/RzIcAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10221d510>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, axes = plt.subplots(2, 3, figsize=(12, 7), sharey=True)\n",
"\n",
"for j, i in enumerate(range(2, 5)):\n",
" sm.tsa.graphics.plot_acf(poll_ts.ix[:, i].diff().dropna(), ax=axes[0, j])\n",
" sm.tsa.graphics.plot_pacf(poll_ts.ix[:, i].diff().dropna(), ax=axes[1, j])\n",
" axes[0, j].set_title(\"{} - Autocorrelation\".format(poll_ts.columns[i]))\n",
"plt.tight_layout();"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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AnXP58bNUgIosV2oPXz8NVRS0oWJGRqZobFT5JbJc0L7rtSBQCeDc3ByLiw00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\nRKTO/P95QWCFdKAfYQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10a17f610>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, axes = plt.subplots(1, 2, figsize=(9, 4), sharey=True)\n",
"\n",
"sm.tsa.graphics.plot_acf(poll_ts.ix[:, 1].dropna().dropna(), ax=axes[0])\n",
"sm.tsa.graphics.plot_pacf(poll_ts.ix[:, 1].dropna().dropna(), ax=axes[1])\n",
"axes[0].set_title(\"{} - Autocorrelation\".format(poll_ts.columns[1]))\n",
"plt.tight_layout();"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"- 문재인: ARMA(1, 2) = ARIMA(1, 0, 2)\n",
"- 안철수: ARIMA(1, 2, 2)\n",
"- 심상정: ARIMA(1, 1, 1)\n",
"- 유승민: ARIMA(1, 1, 1)\n",
"- 홍준표: ARIMA(1, 1, 1)\n",
"\n",
"로 각각 모형 차수 설정"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"---\n",
"# 지지율 추세 예측"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"days_left = (dt.datetime(2017,5,9) - dt.datetime(2017,5,3)).days+1\n",
"today = dt.datetime(2017,5,3).date()\n",
"future_index = pd.to_datetime([today + dt.timedelta(i) for i in range(1, days_left+1)])"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"mc, ac, sc, yc, hc = npc.color_palette"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"def plot_ts_predict(candidate, arima, color=\"b\"):\n",
" armamodel = sm.tsa.ARIMA(poll_ts[candidate], arima).fit()\n",
" fore, se, confint = armamodel.forecast(len(future_index))\n",
"\n",
" plt.plot(np.append(poll_ts.index, future_index), np.append(poll_ts[candidate], fore),\n",
" alpha=.5, color=color, label=None, marker=\"o\", linestyle=\"-\", mfc=\"None\")\n",
" \n",
" confint_index = [poll_ts.index[-1]]+future_index.tolist()\n",
" confint_upper = [poll_ts[candidate][-1]]+list(zip(*confint)[0])\n",
" confint_lower = [poll_ts[candidate][-1]]+list(zip(*confint)[1])\n",
" plt.fill_between(confint_index, confint_upper, confint_lower, color=color, alpha=.1)\n",
" plt.plot(poll_ts[candidate], \"o-\", color=color, lw=2, mec=\"w\")\n",
" plt.xticks(rotation=45)\n",
" plt.ylim(0)"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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gAG7G9UrUPoArWbjeRFu1Kn6uwoE/HY7H2v/tgPYOV4iD4dAROCGEiKzk+SlAW4lzBb0Q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\n9x9RjWpFuLkzokswrR1cl4Y6ZF36z1e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e/InC7+4a2o7vdhXz/FeZTL+obY0rjh3Pjqxy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NAAAg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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10f335f50>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(12, 6))\n",
"plot_ts_predict(\"Moon\", [1,0,2], mc)\n",
"plot_ts_predict(\"Ahn\", [1,2,2], ac) ##\n",
"plot_ts_predict(\"Hong\", [1,1,1], hc) ##\n",
"plot_ts_predict(\"Shim\", [1,1,1], sc)\n",
"plot_ts_predict(\"You\", [1,1,1], yc)\n",
"plt.legend(bbox_to_anchor=(1.01, 1), loc=2, borderaxespad=0)\n",
"plt.axvline(today, color=\"k\", ls=\":\")\n",
"plt.gca().xaxis.set_major_locator(mdates.DayLocator())\n",
"plt.gca().xaxis.set_major_formatter(mdates.DateFormatter('%m/%d'))\n",
"plt.title(u\"앞으로의 지지율 추세 예측 (95% 신뢰구간)\", fontsize=18);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"---\n",
"# RNN"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Using TensorFlow backend.\n"
]
}
],
"source": [
"from keras.models import Sequential, load_model\n",
"from keras.layers import Dense, LSTM, SimpleRNN, Activation, GRU"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"X_moon, y_moon = [], []\n",
"for i in range(2, len(poll_ts.Moon)-3):\n",
" X_moon.append([poll_ts.Moon[j] for j in [i-2, i-1, i, i+1, i+2]])\n",
" y_moon.append(poll_ts.Moon[i+3])\n",
"X_moon = np.array(X_moon)\n",
"X_moon = X_moon[:, :, np.newaxis]\n",
"y_moon = np.array(y_moon)"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"((25, 5, 1), (25,))"
]
},
"execution_count": 21,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"X_moon.shape, y_moon.shape"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def plot_history_with_val(history):\n",
" lss = history.history[\"loss\"]\n",
" #val_lss = history.history[\"val_loss\"]\n",
"\n",
" plt.figure(figsize=(7, 3))\n",
" plt.subplot(121)\n",
" plt.plot(lss)\n",
" plt.title(\"Loss\")\n",
" #plt.subplot(122)\n",
" #plt.plot(val_lss)\n",
" #plt.title(\"Validation Loss\");\n",
"\n",
"def fit_and_plot_rnn(X, y, epoch=10):\n",
" rnnmodel = Sequential()\n",
" rnnmodel.add(GRU(10, input_dim=1, input_length=5))\n",
" rnnmodel.add(Dense(1))\n",
" rnnmodel.compile(loss=\"mean_squared_error\", optimizer=\"sgd\")\n",
"\n",
" history = rnnmodel.fit(X, y, nb_epoch=epoch, verbose=0)\n",
" plot_history_with_val(history)\n",
"\n",
" pred = rnnmodel.predict(X)\n",
" plt.figure(figsize=(12,5))\n",
" plt.plot(pred, label=\"prediction\")\n",
" plt.plot(y, label=\"real\")\n",
" return rnnmodel"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {
"collapsed": false,
"scrolled": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x10e0c6bd0>"
]
},
"execution_count": 23,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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"text/plain": [
"<matplotlib.figure.Figure at 0x115fd0910>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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ImkVNCBEt6X4Sem3shSldpuDrPl+r7OALhyYO8G/lL6nWsL1xe9G7de86j4UDqBAmSiaX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\n/gvPzGIIRep5TQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x116847e90>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"rnn = fit_and_plot_rnn(X_moon, y_moon, 200)\n",
"plt.legend(loc=2)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"* 읭?"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 2",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.12"
}
},
"nbformat": 4,
"nbformat_minor": 1
}
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