prophet/notebooks/seasonality,_holiday_effects,_and_regressors.ipynb

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{
"cells": [
{
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"source": [
"%load_ext rpy2.ipython\n",
"%matplotlib inline\n",
"from fbprophet import Prophet\n",
"import pandas as pd\n",
"from matplotlib import pyplot as plt\n",
"import logging\n",
"logging.getLogger('fbprophet').setLevel(logging.ERROR)\n",
"import warnings\n",
"warnings.filterwarnings(\"ignore\")\n",
"df = pd.read_csv('../examples/example_wp_log_peyton_manning.csv')\n",
"m = Prophet()\n",
"m.fit(df)\n",
"future = m.make_future_dataframe(periods=366)"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"block_hidden": true
},
"outputs": [
{
"data": {
"text/plain": [
"Initial log joint probability = -19.4685\n",
"Optimization terminated normally: \n",
" Convergence detected: relative gradient magnitude is below tolerance\n"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%%R\n",
"library(prophet)\n",
"df <- read.csv('../examples/example_wp_log_peyton_manning.csv')\n",
"m <- prophet(df)\n",
"future <- make_future_dataframe(m, periods=366)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Modeling Holidays and Special Events\n",
"If you have holidays or other recurring events that you'd like to model, you must create a dataframe for them. It has two columns (`holiday` and `ds`) and a row for each occurrence of the holiday. It must include all occurrences of the holiday, both in the past (back as far as the historical data go) and in the future (out as far as the forecast is being made). If they won't repeat in the future, Prophet will model them and then not include them in the forecast.\n",
"\n",
"You can also include columns `lower_window` and `upper_window` which extend the holiday out to `[lower_window, upper_window]` days around the date. For instance, if you wanted to included Christmas Eve in addition to Christmas you'd include `lower_window=-1,upper_window=0`. If you wanted to use Black Friday in addition to Thanksgiving, you'd include `lower_window=0,upper_window=1`. You can also include a column `prior_scale` to set the prior scale separately for each holiday, as described below.\n",
"\n",
"Here we create a dataframe that includes the dates of all of Peyton Manning's playoff appearances:"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"playoffs = pd.DataFrame({\n",
" 'holiday': 'playoff',\n",
" 'ds': pd.to_datetime(['2008-01-13', '2009-01-03', '2010-01-16',\n",
" '2010-01-24', '2010-02-07', '2011-01-08',\n",
" '2013-01-12', '2014-01-12', '2014-01-19',\n",
" '2014-02-02', '2015-01-11', '2016-01-17',\n",
" '2016-01-24', '2016-02-07']),\n",
" 'lower_window': 0,\n",
" 'upper_window': 1,\n",
"})\n",
"superbowls = pd.DataFrame({\n",
" 'holiday': 'superbowl',\n",
" 'ds': pd.to_datetime(['2010-02-07', '2014-02-02', '2016-02-07']),\n",
" 'lower_window': 0,\n",
" 'upper_window': 1,\n",
"})\n",
"holidays = pd.concat((playoffs, superbowls))"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": true,
"output_hidden": true
},
"outputs": [],
"source": [
"%%R\n",
"library(dplyr)\n",
"playoffs <- data_frame(\n",
" holiday = 'playoff',\n",
" ds = as.Date(c('2008-01-13', '2009-01-03', '2010-01-16',\n",
" '2010-01-24', '2010-02-07', '2011-01-08',\n",
" '2013-01-12', '2014-01-12', '2014-01-19',\n",
" '2014-02-02', '2015-01-11', '2016-01-17',\n",
" '2016-01-24', '2016-02-07')),\n",
" lower_window = 0,\n",
" upper_window = 1\n",
")\n",
"superbowls <- data_frame(\n",
" holiday = 'superbowl',\n",
" ds = as.Date(c('2010-02-07', '2014-02-02', '2016-02-07')),\n",
" lower_window = 0,\n",
" upper_window = 1\n",
")\n",
"holidays <- bind_rows(playoffs, superbowls)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Above we have include the superbowl days as both playoff games and superbowl games. This means that the superbowl effect will be an additional additive bonus on top of the playoff effect.\n",
"\n",
"Once the table is created, holiday effects are included in the forecast by passing them in with the `holidays` argument. Here we do it with the Peyton Manning data from the Quickstart:"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"m = Prophet(holidays=holidays)\n",
"forecast = m.fit(df).predict(future)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"output_hidden": true
},
"outputs": [
{
"data": {
"text/plain": [
"Initial log joint probability = -19.4685\n",
"Optimization terminated normally: \n",
" Convergence detected: relative gradient magnitude is below tolerance\n"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%%R\n",
"m <- prophet(df, holidays = holidays)\n",
"forecast <- predict(m, future)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The holiday effect can be seen in the `forecast` dataframe:"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"output_hidden": true
},
"outputs": [
{
"data": {
"text/plain": [
" ds playoff superbowl\n",
"17 2014-02-02 1.221621 1.201999\n",
"18 2014-02-03 1.898870 1.457674\n",
"19 2015-01-11 1.221621 0.000000\n",
"20 2015-01-12 1.898870 0.000000\n",
"21 2016-01-17 1.221621 0.000000\n",
"22 2016-01-18 1.898870 0.000000\n",
"23 2016-01-24 1.221621 0.000000\n",
"24 2016-01-25 1.898870 0.000000\n",
"25 2016-02-07 1.221621 1.201999\n",
"26 2016-02-08 1.898870 1.457674\n"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%%R\n",
"forecast %>% \n",
" select(ds, playoff, superbowl) %>% \n",
" filter(abs(playoff + superbowl) > 0) %>%\n",
" tail(10)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
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"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>ds</th>\n",
" <th>playoff</th>\n",
" <th>superbowl</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>2190</th>\n",
" <td>2014-02-02</td>\n",
" <td>1.229999</td>\n",
" <td>1.176410</td>\n",
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" <tr>\n",
" <th>2191</th>\n",
" <td>2014-02-03</td>\n",
" <td>1.900543</td>\n",
" <td>1.486962</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2532</th>\n",
" <td>2015-01-11</td>\n",
" <td>1.229999</td>\n",
" <td>0.000000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2533</th>\n",
" <td>2015-01-12</td>\n",
" <td>1.900543</td>\n",
" <td>0.000000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2901</th>\n",
" <td>2016-01-17</td>\n",
" <td>1.229999</td>\n",
" <td>0.000000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2902</th>\n",
" <td>2016-01-18</td>\n",
" <td>1.900543</td>\n",
" <td>0.000000</td>\n",
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" <tr>\n",
" <th>2908</th>\n",
" <td>2016-01-24</td>\n",
" <td>1.229999</td>\n",
" <td>0.000000</td>\n",
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" <tr>\n",
" <th>2909</th>\n",
" <td>2016-01-25</td>\n",
" <td>1.900543</td>\n",
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" <tr>\n",
" <th>2922</th>\n",
" <td>2016-02-07</td>\n",
" <td>1.229999</td>\n",
" <td>1.176410</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2923</th>\n",
" <td>2016-02-08</td>\n",
" <td>1.900543</td>\n",
" <td>1.486962</td>\n",
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" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" ds playoff superbowl\n",
"2190 2014-02-02 1.229999 1.176410\n",
"2191 2014-02-03 1.900543 1.486962\n",
"2532 2015-01-11 1.229999 0.000000\n",
"2533 2015-01-12 1.900543 0.000000\n",
"2901 2016-01-17 1.229999 0.000000\n",
"2902 2016-01-18 1.900543 0.000000\n",
"2908 2016-01-24 1.229999 0.000000\n",
"2909 2016-01-25 1.900543 0.000000\n",
"2922 2016-02-07 1.229999 1.176410\n",
"2923 2016-02-08 1.900543 1.486962"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"forecast[(forecast['playoff'] + forecast['superbowl']).abs() > 0][\n",
" ['ds', 'playoff', 'superbowl']][-10:]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The holiday effects will also show up in the components plot, where we see that there is a spike on the days around playoff appearances, with an especially large spike for the superbowl:"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"output_hidden": true
},
"outputs": [
{
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yTlu/nFIhQ4CTNVq62KBHS9drW/NcrBHtbQ9/Zxs4KBVQ3GRr3v2ykMswuVtLvNQ1CMsP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\ngZECUAghhBDCwEgBKIQQQghhYP4f6Ar1fsB9nbAAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 648x864 with 4 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"m.plot_components(forecast);"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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f3t3tWLmr3xs7n/rmSKGd2EzsTUToa8yPP/74ZZdd9v333/t8vvnz5/ft21fl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\nSUVORK5CYII=\n"
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%%R -w 9 -h 12 -u in\n",
"prophet_plot_components(m, forecast);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Individual holidays can be plotted using the `plot_forecast_component` method (Python) or function (R). For example, `m.plot_forecast_component(forecast, 'superbowl')` in Python and `plot_forecast_component(forecast, 'superbowl')` in R to plot just the superbowl holiday component."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Fourier Order for Seasonalities\n",
"\n",
"Seasonalities are estimated using a partial Fourier sum. See [the paper](https://peerj.com/preprints/3190/) for complete details, and [this figure on Wikipedia](https://en.wikipedia.org/wiki/Fourier_series#/media/File:Fourier_Series.svg) for an illustration of how a partial Fourier sum can approximate an aribtrary periodic signal. The number of terms in the partial sum (the order) is a parameter that determines how quickly the seasonality can change. To illustrate this, consider the Peyton Manning data from the Quickstart. The default Fourier order for yearly seasonality is 10, which produces this fit:"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Initial log joint probability = -19.4685\n",
"Optimization terminated normally: \n",
" Convergence detected: relative gradient magnitude is below tolerance\n"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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bxAuHw+ljS0ktk+SWiW1Y7afJLBApKQghDocjlUrxjgIb1tbWUqm0+d6YuetW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\nRU5ErkJggg==\n"
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%%R -w 9 -h 3 -u in\n",
"m <- prophet(df)\n",
"prophet:::plot_yearly(m)"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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Cti2T/fR1PiHyzhCdWgPeyKvA7BgfTBNxlxEhSDpnLjMzE5mZmRc8t2bNmr7/\nP/vss3j22Wcvee7y5cuxfPlyUeOjC4V7KTkyR0SSaunS4UxjFzLi/CWrwn/f5DD8fWcJ1uwoxt0T\nQ+BkP/Q/pX/9phifHKvFQ9dE4s6JIYKM+lwV6Y3MBH+sz6vAY7OiofJUjrjN4fiiqA6nGjrxl/nx\nCHB3Erz96ZHeuD4xAG/kVeDx2dEI9Rz+KtnLefdwNVp7DFgyLhjuTpZZaDNc3AGCBi3C2xm1bVrJ\nq3AT0ZXrYFXvLPqEAMuUJLkUhZ0cr9yUjOrWHvzhs6EXsv2isA5/3HYKC8b44dFrowRdIfn8dYno\n1hvx2OfSFdj9286zCHRzxG3jRz6nsD9/z0qEzmjGQ5tOiNK+2WzGq7vLEOvrgnlxfqJcQ0hM5mjQ\nIrycoW7rQbuWteaISBoHKjUAgCnhnpLGMS/eHzcmB+Lfe8uxt6x50Ocdr2nDHf89hDhfF/zvvHiE\nCDyqlBjohrsmhuDDo2oU1bUJ2vZgHKjQYFdJM24br0KkjzgjZgAQ6+eK7Clh2HS8Fgcrhd804IeS\nZhxRt+GWcUEI9ZJmhHMomMzRoIV7KdFjMKGiRfzSJEREl5JfqUGopxNifaUbmTvv9SXj4OmkwB3/\nPTSoguqlTV3IyNkHezs5/nZ9omgFaP+yYAzkkOGJLyw/d+7v35+Fi4Mdbh8fLPpOCWvmx0Npb4eH\nN1+8e9RIrf32DDyVCtw0Nsgqd3z4JSZzNGgR56p3n27slDgSIrpS5VVokODvBncn6cuk+rg44P27\nJqJC04P5Ofsuu0fqidp2zHh1Nzq0RrxyYzIyE8QrqRLiqcSKqWH4vLAOx2ssNzpX1tyFD4+ocdPY\nIIwPEX/k1NfVEU/MicEPpc3Ycly4QsIF1a348mQ9bh+vssjev0JgMkeDdr48SXkzR+aIyPLq2rWo\nau1BYqCr1YyWzInzwys3JmNfhQbTX/4Rtb9YJGY2m/F2fiWm//NHaA0mvLY4BTenBEEucpmLp+bG\nQiGX4ykLrmx96YcSyGQyLE0NtlgZj0eujUaQmyMe/+IkTCZh9qd95utiuDjYYel4lVWXI/k56T/a\nkM04PzJXwxWtRCSB/HPz5RL9L958Xkq/nh4BJ4Ucv/7oGKL++g2WpYUiLdQT9R1afFCgRoG6DanB\n7vjz/HhkJgSInsgBQJC7E1ZMDcN/9pThRG0bkgKHX8NuMFq6dHh9XwXmxflhVqyvqNf6OaW9HdYu\nTMCy3AL8Y1cJHpnZf8HkwThUpcFHR2vwqylhmBJm3eVIfo4jczRonkp7uDkqUMNac0QkgQOVGshl\nwFWR1vdH9p7JYch/+GpcE+X8w4oxAAAgAElEQVSDN/IqsOKDI3hy60l06Ax4em4sPlqWhuuSAi2S\nyJ13fnTuSZHrsQFAzr4KdOqMuHOCCkp7O9Gv93N3TgzBxBAP/Pnr02joGNnfpye3noSHkwLLJoXA\nQWE7KRJH5mhIwryUHJkjIkkcqNQgwtu57y6BtUkO8sC27Klo7dLhSE07XB3tEOqphJ+royTx/Hx0\nrrC2DWLNYtMZTHj5hxJMDvXE/ISRFT8eDrlchvW3jsPEF3Yh+8Oj+PTeScNq54vCOmw/1YCHZkTa\n1KgcwJE5GqIob2fUtGlhMLLWHBFZjtlsxoEKDRL9XeHsYN3jEB7ODrgm2gcTQjwlS+TOOz86t1LE\nla3vHqqGuk2LOyeqBN26ayjGBXvgt1dHYtPxWnx0RD3k87v1Rvzu0+OI9FbivqlhkhWkHi7bipYk\nF35uZK5D1/+qLSIioVVqutHQqUNioHXNl7N2Qe5OuG9KGLYW1eFMk/CL10wmM5777gzifF0E37pr\nqNYuTEC0jzP+38fHUD/E6UD/u+0USpu78PisGCSLPL9QDEzmaEgivJ3RoTOiSsMVrURkOfmVvTs/\nJDOZG7Kn03tH5/66q0rwtjefqMXJ+g4smxSCUC9pb3872dvhw7vT0Nqjx/Xr8wZ9B+mrUw14fudZ\n3Dw2EEtSg0WOUhxM5mhIzpcnKWatOSKyoAOVGtjJZZhuhYsfrF3v3LlQfFXahsLadsHaNZvNWPvt\nGag8nHDjWGlH5c4bH+KBf96YjLxKDe5+7zDM5suXKzlV34Hb/3sIUd7OWDknFl4S3SYeKSZzNCTn\nJx6XNHVJHAkRXUkOVGoQ6+uCEA/r31rJGj09Nw4KuQwrvxBuz9bvzjQhr0KDuyeGIN7PekZMs6dF\n4MGrI/HeYTXuyS3od4TudEMH5r22DyazGX+7PhFpodJuETcSTOZoSM6PzP2yMCYRkVjMZjMOVGqQ\n4O8KR4Vly16MFoHuTrh9rA+2FtWhsFaYXSHWflsMH2d73DJO/CLIQ/WPRUn4f9PDsTG/CtNe/hGH\nq1r7XtMbTXgrrxKT/vEDWnv0eHlRMrIknu83Uta9JIisjq+LA5wUcqjbWGuOiCzjTGMn2noMSOJ8\nuRH5/dRgvHe8GY9/XoTPVkwZUVu7S5vx1elG/O7qCKQEW9+WVzKZDK/enIKUIHc8+lkhJry4C3F+\nLgh2d0JhXTvqO3RICnDD2oVjsCAhwGZ2eugPkzkaEplM1ruitZ0jc0RkGX2LH4KYzI2Ev4s9sqeG\n4dXdZTiqbh12EmY2m/HE1iL4ONvj7rRQq06E7p8egZtSgvDsN8U4WNWK5i4d0kI9MTfWFzePDUKY\nldYsHComczRkEd7OqGjphslktrqhdSIafQ5UauBoJ8dUGyvkao2emhuHdfsr8LtPj+P7B64aVhtb\ni+rxQ0kzVs6KxgQb2Ijez9URL9yQDKC3lIpMBqvZ21conDNHQxbp7Qx1Ww+69Kw1R0TiO1CpQby/\nC4LcnaQOxeYFuDni6blx2FXSjPcODb1UidZgxEObjyPcS4k700Js7gO9XC4bdYkcwGSOhiHcS4nW\nHgPqeKuViERmNJlxqKoVCQFuNrVXpjX7n5nRiPR2xh8+K0Jbt35I5/59ZwnONHbhDzOjkRjA297W\ngu8MGrLz5UlO1bPWHBGJq6iuHV16IxIDXKUOZdRwUMix4bZUqNt6cN8HRwZ93rGaNqzecRqzY3xw\na2rwqBzhslVM5mjIzpcnOctac0QksgOVGgDAuCDrn5tlS2ZE+eDBGZH46GgN1u8vH/D4br0Rt79z\nCG6Odnhidgx8Jd5zli7EZI6GLPzcli3VrdzSi4jElV/ZChcHO0wMZTIntOeuS8CEEA888PFx/Fja\n1O9xBqMJt719ECdq2/G/8+IwK9bPglHSYDCZoyELdHOEg50MNaw1R0QiO1DZgjH+rvDnSJDgHBV2\n+HLFFPi6OGB+zn5sP1l/0TFdOgPu+O9hbD5Rh/+ZGY17JoVZdSmSKxWTORoyuVwGlYcTa80Rkah0\nBhOOqNuQGODKxQ8i8XdzxN4Hr0KAmyMWvL4fy3MLsLesGWcbO/F2fiXS/vEDPjyixu+ujsBjs6Lh\n5sSKZtaI3xUalghvZ9RyZI6IRHSspg06o5mrJkUW6uWMw49cgwc+OYaNB6vw5oHKvtcivZV4eVEy\nlk0KZSJnxfidoWGJ8HLGsZp29OiNcLLnXolEJLzzix9Sgt0ljmT0c3eyx9u3T8CfM+LxybFatGsN\nCPFwwpw4X4R7OXPlqpVjMkfDEu6lRGOnDk2dOqg8lVKHQ0SjUH5lKzycFEhlMmcxET4ueGRmtNRh\n0BBJOglh27ZtiI+PR0xMDNauXXvR6y+88AISExORkpKCOXPmoLz8p+XTdnZ2SE1NRWpqKrKysiwZ\nNuGnFa2nG1hrjojEcaCyBYkBbvDj4geiy5IsmTMajXjggQfw5ZdforCwEO+99x4KCwsvOGb8+PHI\nz8/H0aNHsXjxYjz22GN9rymVShQUFKCgoABbtmyxdPhXvHDv3tG4M01M5ohIeN16E07UdSAhwBX2\ndlz8QHQ5kr1D8vLyEBMTg6ioKDg4OGDp0qXYvHnzBcfMmjULzs69I0BTp05FVdXQ95EjcZwvHFyp\nYa05IhLe8fouGE1c/EA0GJIlc9XV1QgNDe17HBISgurq6n6PX79+PRYsWND3uKenB2lpaZg6dSo2\nbdokaqx0sRAPJWQAV7QSkSiO1PWO+qeqOF+OaCA2sQDinXfeQX5+Pr7//vu+58rLy6FSqVBSUoLZ\ns2dj7NixiI6+eNJmTk4OcnJyAAC1tbVQq9WixtrQ0CBq+9bE38Ue5Q0aUfr0SupHS2GfCo99Kp68\n8mb4KO3gh06o1UPbDJ4ujT+vwrOWPpUsmVOpVKis/KmWTVVVFVQq1UXHff3113jmmWfw/fffw9HR\n8YLzASAqKgozZ87E4cOHL5nMZWdnIzs7GwCQlpaG4OBgob+Ui1jiGtYg0rcETTqTaF/vldKPlsQ+\nFR77VBwnW44jKcgDCVFhnDMnIP68Cs8a+lSyd8ikSZNQXFyM0tJS6HQ65ObmXrQq9fDhw7j//vux\nZcsW+Pv79z3f0tICrbb39l5jYyN2796NxMREi8ZPQOS5wsEGo0nqUIhoFGnt1uNsixaJAW5M5IgG\nQbKROYVCgVdeeQUZGRkwGo1Yvnw5kpKSsGrVKqSlpSErKwt/+MMf0NHRgVtuuQUAEBYWhi1btqCo\nqAj3338/5HI5TCYTVq5cyWROAuFeStR2aNHaY4CPi4PU4RDRKHGouhUAkBjgKnEkRLZB0jlzmZmZ\nyMzMvOC5NWvW9P3/66+/vuR506dPx7Fjx0SNjQYW7qWE0WTG2cZOJnNEJJgDFb07P4xXeUgcCZFt\n4Pg1Ddv58iTFjaw1R0TCya/SINBFgTg/jswRDQaTORq287tAlDV3SRwJEY0mByo0iPNx4og/0SAx\nmaNhOz8yV8Nac0QkkPp2LcpaujHG1wl2cm7uTjQYTOZo2FwcFfBS2qOmvUfqUIholNhf0QIASPBV\nShwJke0YMJl79NFHceLECUvEQjYo3EvJXSCISDD7yltgJwPGBbpIHQqRzRgwmUtISEB2djamTJmC\n//znP2htbbVEXGQjIrydUdPeA5PJLHUoRDQK7K/QINbPFcFunC9HNFgDJnMrVqzA7t27sXHjRpSV\nlSElJQW33347vvvuO0vER1YuwluJmjYtOrQGqUMhIhtnNJmRV6FBcqAbXB1tYrdJIqswqDlzRqMR\nJ0+exMmTJ+Hr64tx48bhhRdewNKlS8WOj6xcuJczegwmVLR2Sx0KEdm4k/UdaNcakBzoBpmMix+I\nBmvAjz4PP/wwPvvsM8yZMwdPPvkkJk+eDAB4/PHHER8fL3qAZN36as01dCI50F3iaIjIlu0r7138\nkBzoJnEkRLZlwGQuJSUFf/nLX+DicvFk1Ly8PFGCIttxPpk7y8LBRDRC+yta4OaowPgQD0DL+dlE\ng9VvMnfo0CEAwLhx43Dq1KmLXp8wYQI8PLjVypXufOFgNVe0EtEI7S/vnS8X6OYIDX+lEA1av8nc\no48+2u9JMpkM3377rSgBkW3xdraHs70dattYa46Ihq9Da8Dx2jbcNzkMzg4KaKQOiMiG9JvMfffd\ndzCZTNi7dy+uuuoqS8ZENkQmkyHMS4madn6MJqLhy6/UwGTmfDmi4bjsala5XI7f/va3loqFbFRv\neZIemM2sNUdEw3N+8cOEEE7fIRqqAUuTzJkzBx9//DH/UFO/IrycUduuRbfeKHUoRGSj9pW3INTT\nCfH+rlKHQmRzBkzmXnvtNdxyyy1wdHSEu7s73Nzc4O7OEhT0k3AvJVp7DNzWi4iGxWQy48fSZqQG\ne8DHmTs/EA3VgKVJ2tvbLREH2bDzK1pPNXQgypf7KRLR0BTWtaOpS48JKg/I5SwWTDRUg9ovpaWl\nBcXFxejp+WnF4jXXXCNaUGRbzteaO9PYJXEkRGSLdpU0A+B8OaLhGjCZW7duHV566SVUVVUhNTUV\n+/btw7Rp01iahPqEe/cmc2pu6UVEw/D92SYEuDogNZhTeIiGY8A5cy+99BIOHDiA8PBwfPfddzh8\n+DA8PT0tERvZiCA3J9jLZSxPQkRDZjabsaukCRNCPBDo7iR1OEQ2acBkzsnJCU5OvW8wrVaLMWPG\nXHJHCLpyyeUyqDycUMMFEEQ0RMWNnaht12K8ygMOigH/JBHRJQx4mzUkJAQajQaLFi1Ceno6vLy8\nEB4ebonYyIZE+ThDzV0giGiIdp1tAgBMUHG+HNFwDZjMffrppwCAP/3pT5g1axZaW1sxf/580QMj\n2xLl44ICdRu69UYo7e2kDoeIbMT3JU3wcbbn4geiERjUatYff/wRxcXFuPfee9HQ0IDq6mpERkaK\nHRvZkEhvZzR36VHb1oNIH5YnIaLB2XW2GeNVHgj24Hw5ouEacILC6tWr8dxzz+HZZ58FAOj1etx5\n552iB0a2Jcqnt9bcyfoOiSMhIltR1tyFCk03JoR4wFHBEX2i4Rowmfv000+xZcsWuLj0jrYEBwez\nkDBdJNK7N5k73dApcSREZCt2lXC+HJEQBkzmHBwcIJPJIJP1VuXu7OQfa7rY+WSuSsNac0Q0OF+f\nboSnUoHJYSx3RTQSAyZzS5Yswf333w+NRoPXX38dc+fOxa9+9StBLr5t2zbEx8cjJiYGa9euveh1\nrVaLW2+9FTExMZgyZQrKysr6Xnv22WcRExOD+Ph4bN++XZB4aPj8XB2gtJejmitaiWgQTCYzdpxq\nwNQwL4R4KqUOh8imDbgAwsHBAXPnzoW7uztOnTqFNWvWID09fcQXNhqNeOCBB/DVV18hJCQEkyZN\nQlZWFhITE/uOWb9+Pby8vHDmzBnk5ubi8ccfx/vvv4/CwkLk5ubixIkTUKvVmDt3Lk6fPg07O865\nkIpMJkO4lzPUraw1R0QDO6JuQ12HFlPDvWBvx/pyRCMx4Duovr4eTzzxBMrLyzF37lzMnTtXkAvn\n5eUhJiYGUVFRcHBwwNKlS7F58+YLjtm8eTOWLVsGAFi8eDG++eYbmM1mbN68GUuXLoWjoyMiIyMR\nExODvLw8QeKi4YvxcUZ1WzfMZrPUoRCRldt+qh4AcFWkt8SRENm+AZO5v/zlLyguLsZ9992Ht956\nC7GxsXjyySdx9uzZEV24uroaoaGhfY9DQkJQXV3d7zEKhQIeHh5oamoa1LlkeVG+LlC3atGlM0gd\nChFZue2nGhDn68L9WIkEMKg6czKZDIGBgQgMDIRCoUBLSwsWL16M9PR0/N///Z/YMY5ITk4OcnJy\nAAC1tbVQq9WiXq+hoUHU9q2Zt50eXXojDp4qR4yv84jaupL7USzsU+GxT4dH02PAj6VNWJzgBW1r\nI9RtsouOYd8Kj30qPGvp0wGTuZdeegkbN26Er68vVqxYgeeffx729vYwmUyIjY0ddjKnUqlQWVnZ\n97iqqgoqleqSx4SEhMBgMKC1tRU+Pj6DOve87OxsZGdnAwDS0tIQHBw8rHiHwhLXsEapzXJgZxUa\n4IxrBOiDK7UfxcQ+FR77dOi+O1gFgwnISA7r93c3wL4VA/tUeNbQpwPeZm1ubsYnn3yC7du345Zb\nboG9vX3viXI5Pv/882FfeNKkSSguLkZpaSl0Oh1yc3ORlZV1wTFZWVnYsGEDAOCjjz7C7NmzIZPJ\nkJWVhdzcXGi1WpSWlqK4uBiTJ08ediwkjPOFg4tZa46ILmPziVr4ONvj2mgfqUMhGhUGHJlbvXp1\nv68lJCQM/8IKBV555RVkZGTAaDRi+fLlSEpKwqpVq5CWloasrCzcd999uOuuuxATEwNvb2/k5uYC\nAJKSkrBkyRIkJiZCoVDg1Vdf5UpWK3C+1lx1K8uTENGlaQ1GfFlUj/Q4P4SyJAmRIAY1Z04smZmZ\nyMzMvOC5NWvW9P3fyckJH3744SXPfeqpp/DUU0+JGh8NjaujAt7O9kzmiKhfX59uRIfOiGujfaBg\nSRIiQfCdRIKK9HaGmoWDiagf7x6qhoeTAnPjfKUOhWjUYDJHgor26U3mjCbWmiOiC3VqDdh0vBZz\nYn0R5+cqdThEowaTORJUlI8Latq00HTrpQ6FiKzMlhN16NIbMT/en7s+EAmI7yYSVKS3MwwmM4ob\nOqQOhYiszMaDlQhwdeAtViKBMZkjQZ1f0XqS5UmI6GdKmjqx/VQDspICEe41sqLiRHQhJnMkqMhz\ntebKmrokjoSIrMlre8shB3Dj2EDI5Rfv+EBEw8dkjgQV7qWEnUyGqtZuqUMhIivRrTfijbxKXBPl\ng6sjWSiYSGhM5khQ9nZyhHkpUdHCZI6Ieq3fX4HGTh1uTQ2Gm5Ok5U2JRiUmcyS4eD8XVGi6YTaz\nPAnRlU5rMOK5b88gNdgdNyQHSh0O0ajEZI4EF+fvigpNNzq1BqlDISKJrd9fiarWHtw3OQyB7k5S\nh0M0KjGZI8HF+bqgW29CcSMXQRBdyZo6dfjjtpOYoPLATSkclSMSC5M5ElysnwsA4FhNm8SREJGU\nntxahNZuPR6bFY1gD6XU4RCNWkzmSHDnt+kpbmStOaIr1SdHa5CzrwK3T1DhusQAqcMhGtWYzJHg\nQj2VcLCTcUUr0RXqRG077n2/AEkBbnhsdgxcHLmClUhMTOZIcHZyGSK9nVGhYTJHdKU5qm7DrH/t\ngYOdHGsXjkFyoLvUIRGNekzmSBRxfq5M5oiuIHqjCf/8oRRTXvoBAPDa4rHITODtVSJL4Ng3iWKM\nvyu2n6pHR48erk72UodDRCNgMpnRrjWgS29Et94IncEEg8mMHoMJlZpu7ClrwfsF1ajU9GBqmCf+\nlBGP9Dg/bttFZCFM5kgUsX4u0BnNKKzrwORwL6nDIaIhKm/uwob8KnxRVIdjNW3o1pv6PdbeToaJ\nKg88em00FqcEQeXJlatElsRkjkQR63uuPEltm+TJXFOnDu8XqHFE3YqUIHfcPkEFL2cHSWMislZt\nPXo8/nkR1u2vgNFkxtggd9yYHAR/Nwc4KezgpJBDIZf1/rOTI8DVAclB7ojxdYErFzoQSYLvPBJF\nX3mSBmnLkxyo0GDhuv1o6NTBxcEOOboKPPNNMbYsn4S0UI4YEv1cQXUrbnzzACo03bg5JQjL0kIx\nPcKLH36IrBwXQJAogtwd4WxvJ2l5kkNVGsw8t6pu422pOL1yFjbdOwkmMzD73/tQ3NAhWWxE1uaH\nkiZc+6896DaYsO6WcXjj1lQsTAxgIkdkA5jMkShkMhmifaUrT9KpNeC2dw7B1dEO628dhzsnhiDY\nQ4kbkgOx+7fTYTabsejNA9AZ+p8HRHSlOF7ThoXr8uCltMf6JeNwz+RQ3jIlsiFM5kg08X6uqNT0\nwGgyW/zaT2w9ieKGTqw5t6pOJvtpVV20ryvW3zoOhXUdWL3jtMVjI7ImjR1aLFyXB0eFHK/eNBYL\nEwMueL8QkfVjMkeiifd3RXVrN5o6tRa97umGDvxrTxluTgnC7RNCLlkeYUmqCtdG+eDV3aVo6rBs\nfETWwmw2Y8UHR1DT3oMXshKxYIy/1CER0TAwmSPRxPq6wGgGjtdadm7ak1tPwtFOjl9NCYObU/+3\nil64IRGtPQY8+eVJC0ZHZD3ezKvE5hN1eOCqCCweF8y6cEQ2iskciSbev3dF69GaNotd80RtOz4+\nWoM7JqgwM8b3ssdOCPHEwgR/fHBEjY4evYUiJLIODR1a/M9nhZigcsfvZ0RCaW8ndUhENExM5kg0\niQG9ydwZC5YnefH7Ejgq5Lh1fDAcFAP/eD86MxqabgP++WOpBaIjsh4rvyhCm9aAlbNjEOHtInU4\nRDQCTOZINO5O9gh2d0RJs2WSubp2Ld45VIXrEvxxVYT3oM6ZGe2DOD8XbDxYDbPZ8gs1iKRQUN2K\nN/Iqcfv4YO6fSjQKSJLMNTc3Iz09HbGxsUhPT0dLS8tFxxQUFGDatGlISkpCSkoK3n///b7X7rnn\nHkRGRiI1NRWpqakoKCiwZPg0BMmB7ihp6rJIorRufzm0BhNuG6+C0yBvGclkMjx4dSRO1nfgm+JG\nkSMksg5PfXkS7o4KrJgcDheWICGyeZIkc2vXrsWcOXNQXFyMOXPmYO3atRcd4+zsjI0bN+LEiRPY\ntm0bHnroIWg0mr7Xn3/+eRQUFKCgoACpqamWDJ+GIDnIDWXN3dB0izsnzWQyY/3+SkwK9cDs2MvP\nlfulpeNVUMhl2HCgUqToiKzH7tJmbC2qx7JJIZgeyV1QiEYDSZK5zZs3Y9myZQCAZcuWYdOmTRcd\nExcXh9jYWABAcHAw/P390dDQYNE4aeSSAtygNZpwVC3uIojvzjSitLkLi5IDh1yx3sfFARnxfth+\nqoFFhGnUW/vtGXgqFbg7LRQKO860IRoNJHkn19XVISgoCAAQGBiIurq6yx6fl5cHnU6H6Ojovuee\neuoppKSk4OGHH4ZWyzph1iox0A0AcKi6VdTrrNtfAQ8nBa5LHN78n2WTQtHQqcP7BWqBIyOyHoW1\n7fi8sA5LxgVjvMpD6nCISCCiTZaYO3cuamtrL3r+mWeeueCxTCa7bLXxmpoa3HXXXdiwYQPk8t7c\n89lnn0VgYCB0Oh2ys7Px3HPPYdWqVZc8PycnBzk5OQCA2tpaqNXi/rHm6OGFvExGAMDxijqo1cpB\nnzeUfuzQGfHpsRrMj3aHp6kDavXQF1xM8DRBqZDjg/wSzAkenaMV/NkUnq316Z+3l8HRTobMMAfU\n1dZIHc5l2Vrf2gL2qfCspU9FS+a+/vrrfl8LCAhATU0NgoKCUFNTA3//S1cdb2trw8KFC/HMM89g\n6tSpfc+fH9VzdHTEvffei7/97W/9Xis7OxvZ2dkAgLS0NAQHBw/nyxkSS1zDloR4nERVl3zI/TLY\n4/97sApaoxnXp4YjLEQ1nBABAAsSavD92Sb4+gXAYZTW3OLPpvBspU9r2nrwSdEh3JAUiMy0eNjb\nwC1WW+lbW8I+FZ419Kkk7+asrCxs2LABALBhwwbccMMNFx2j0+lw44034u6778bixYsveK2mpvcT\npdlsxqZNm5CcnCx+0DRs44LdUdzYAZNIe7TmFqgR4OaI9Di/EbVzc0oQmrr0+Lzo8rf9iWzRyz+U\nQm804/YJKptI5Iho8CR5R69cuRJfffUVYmNj8fXXX2PlypUAgPz8fKxYsQIA8MEHH2DXrl146623\nLipBcscdd2Ds2LEYO3YsGhsb8fTTT0vxZdAgTQjxQHlLN2raewRvu7lLh+2n6jEvzhehnoO/jXsp\nCxMCoJDLsOn4xdMDbIHRZEZ9u5b18ugiHVoD/r2nDLNifDB3hB96iMj6SFJgyMfHB998881Fz6el\npWHdunUAgDvvvBN33nnnJc//9ttvRY2PhJUa7AGTGdhX3oKbU0aWcP3Sp8dqoTeaMS/O77JzLwfD\nQ2mPmdE++P5sM0wms83sU9nQocWjWwrx8dEadOmNCPV0wkMzovDQNVE28zWQuHIPV6O1x4DbJ6jg\nyrpyRKMOx9pJdKkqdwDA4SrhV7TmHq5GqKfTiG+xnnd9UgAqNN3Ir9QMfLAVKKxtR/LzO/He4Wos\nGOOH38+IRICrIx79rBDpr+2D1mCUOkSyAjn7KhDl44wFYy49P5mIbBuTORJdhJcz3BztcFrgPVrr\n2rX49kwj5sX5IcDdSZA2M+J7/9h9agO3Wqs03cjI2QejyYx3bh+Pt++YgH8sSkbeQzPw5/nx+PZM\nIxZvOMjbrle4gupWHKjU4MbkQAR7CDsyTkTWgckciU4ul2FcsDtOCZzMfXREDZMZmBcv3BygOD8X\nhHo6YW/ZxVvMWROz2Yx7cgvQ3KXHy4uSccu4YCjPrcCVyWR4Oj0Oq9Jj8XlhHVbvOCVxtCSl1/dV\nwMFOhhuTA6UOhYhEwmSOLGJCiCeKGzvQJuC2XrkFasT4OmN2zNC277ocmUyGBWP8kV+lgaZLJ1i7\nQlu/vwLfFDfi9zMicUtq8CXnxv0pIx5z43yx9tuzKKprlyBKklqn1oB3DlZhTqwf0sI8pQ6HiETC\nZI4sYmKIB7r1JuyrEGbEq7KlGz+WNmNenB98XR0FafO8+WP80akz4rNC6yxRounW47HPizBB5YH7\np4X3W2ZCJpPhzVtToZDLsOL9IxaOkqzBB0fUaNMacNPYQDgqRmftRCJiMkcWMjW8d0PvH0qaBWnv\ngyO9O3nME6HMwuwYXyjkMnx3pknwtoXw4vclaOnW45FroxDu7XzZY0M8lViVHoc95S3Yfsa6bx2T\n8F7fV4EILyUXPhCNckzmyCJifV3g4aTA8VphbvflFlQjMcAVV0f5CNLez3ko7TE5zBN7y1usbvFA\nU6cOL+4qwewYHywc5D60v5sRiQBXB/xtt9rqvh4Sz+mGDuwtb0FWUiCCPYRZIERE1onJHFmETCbD\nlDAvHK9tG3FCUdzQgViflS8AACAASURBVPzKVsyL84OPi4NAEV4oM8EfJ+s7UGhlc83+s7cM7VoD\nsqeGw1NpP6hzlPZ2+N958Shs7MH7h8Xdm5isx9v5VZDLgAVjRl6DkYisG5M5sphpEV4429iFCk33\niNp577AaMgi7ivWX5p8rUbLpmPWUKNEZTHh1dxmmhXsN+WtfPiUUPkoFXv6xVKToyJqYTGa8c7AK\nk0M9cVWk8KPXRGRdmMyRxUwN94IZwM7ixmG3YTab8e6hKkwI8cCUc/PwxDBe5QEfZ3vstqISJR8e\nUaOmTYvbxgfDy3loI5KOCjvcN8Efe8tb8GOJdc4FJOH8WNqMspZuZCYEwM2JOz4QjXZM5shipoR5\nQgZgb/nwE6SC6jacauhERrwfvIeY0AyFXC7D7FhfHKjUQG8luyj8a08ZwryUuD5pcHPlfunucX5w\nUsjx9+9LBI6MrM3bB6ugtJfjukHOqyQi28ZkjizGy9kBY4PckD+Cbb3ePVwNhVyGObHC1Zbrz9xY\nPzR26rBnBMmnUIrq2rGnrAU3Jgci3OvyK1j746VUYMm4YOw41YDGDq3AEZK16NYb8eERNWbH+CIp\n0E3qcIjIApjMkUXNjfPD0Zo2NAwjmTCZzMg9XI1p4V6YGCJ+AdTzCePWonrRrzWQN/IqYSeXYWGC\n/4gms2dPC0eX3oh/7SkTLjiyKp+dqENrjwGZCf5wUPBXPNGVgO90sqg5sb7QG83YWjT0grw/ljaj\nqrUHGfF+8BjkSs6RiPJxRoiHEw5UaES/1uUYjCZszK/EjEhvTIvwHlFb0yO8EOPrgo+PWs/CDhLW\n2wer4OfiwNpyRFcQJnNkUTMifWAnA74/O/Tiwe8eroaTQo558Zb5IyWTyZAe54f8qlZ066SbN/fd\nmSbUd+iwMMEfro4jm8wuk8lw/9RwHK1pw66zw1+IQtapvl2LL0/WY8EY/2Hfjici28NkjizKzUmB\niaGe2D/Ebb26dAbkHq7GrBgfjA2y3DyguXG+aNca8PXpBotd85c+OqqG0l6ODIFKsdydFgKFXIbX\n91UI0h5Zj9yCahhNZmQm+F9yv14iGp2YzJHFLUoORGFdB46p2wZ9zkdHa9DaY8Ci5EA42Vtuj8nZ\nMb3z5r4qliaZMxhN+PRYLa6O9MaYAGGSWH83RyxM8McXRfXo1BoEaZOsw9sHqxDv54JZMeIvECIi\n68FkjizuprFBAICNBysHfU7O3nKEeSn7ivlaSqC7E+L9XCSbN7erpBkNnTrMjfWDvZ1wb9fsaeFo\n6dbjrQOD/x6QdSuqa0d+ZSsyEwLg7+YodThEZEFM5sji4v1dEe/ngm+LB1e89lhNG3aXtWBRUiBC\nvZQiR3ex9Di//9/efQZEdaV9AP8PAwLSQToIIiht6KioSBO72CVYghrCa9QUk1gSd6PZxASjG2PK\nuy6xYTcSy64muqJi7AgKaoiAyijdAWSkSZvzfuB1VoKgwMzcGXh+X5K5c+85zxyHe585955zcKPw\nCcS19QqvO/FmIbTU1To9t1xbRg0whUlvDRy5TQMhuotdafng8yCz2/GEENVByRzhxEwvK6QXipEj\nqnrpvhuS70FLXQ1TBBacrDE5coAp6holCp+ipEnC8PPNIgzvZ4wBproyLVudr4ZILyucv1+Oksqn\nMi2bKN6z5bsG2xkhwF5+K6MQQpQTJXOEE7O8rSFhwMbf2l+NIO9xLfZeL8AUdwvOLlJB/U2gxgPO\n3FXs6M8Luc2jWMOc+oAvh4fZZ/nYoK5Jgm0pdKtV1Z27X4a8iqcY72IGfS35T9tDCFEulMwRTjib\n6yHE0QSJGUWoa2h72o91Z++CMYZZPtbQVFfcwIfnGWprwMvKACkPO79yRWckZhRBky/7W6zPBNgZ\nwdpAC8czOz7nH1EuO1PzodOLj9EKfqaUEKIcKJkjnPkgqD9E1fVtrkZwu+gJNl9+gCkCSwRzPDpv\n1EBT/F5SieInirklKZEwJN4swtB+RnA2k89ULGpqPER5W+HKwwrkllXLpQ4ifzX1jUjMKESYEy3f\nRUhPRckc4cxYZzM49dHBhuR7qHza0OI9CWN458ht6GjwsTDArsuT5XZVmFMfNEkY/q2gXqxLwnIU\nV9YhzFE+t1ifmeVtgyYJw9arNOecqjpyuxhV9U0Y72Km0Gl7CCHKg5I5whk1NR62Rnqi8EkdFibe\navFe3PkCnL1bhreH2yOovwlHEf7XsH7G6MXn4dy9VxuB21UHbxahF58nt1usz3hZ68PRpDdOZHE3\nKTLpmp2p+bDU00SYE41iJaSnomSOcCrQwQT/E9AXe28UYN6+G7iYW46FiTfxw7USTBVY4O3h/aAu\nw/nVOktbg4/BfY0UMt+cRMLwc0YRAuyM4SKjiYLbwuPxMNvXBtfzxfi9+NUncSbKoejJU5zKFmGs\nixnsjWn5LkJ6Ku6vkqTH+36KAAsD7JCQmo/h31/ElisPMNXZEF+Mc4a5vhbX4UmNdjZFdmk17pbK\n9/myqw8fo+DJU4Q59ZHpRMFtifK2BgOw7SqNalU1e68XQMKAcc5mcr0dTwhRbpwkc+Xl5QgPD4eT\nkxPCw8Px+PGL1+nk8/nw8vKCl5cXIiIipNtzc3MxePBgODo6IjIyEvX1ip/MlciOOl8N/5jugavv\nDsemSW44+Lofvhplj4FyevC/s57dxjoq54l2D2YUQYPPwzgXxYxMHGimC4GlHk7SrVaVsystH+4W\negh04P5RBEIIdzhJ5uLi4hAWFoacnByEhYUhLi7uhftpa2sjPT0d6enp+Ne//iXdvmLFCixduhR3\n796FkZERtm7dqqjQiRwN6muEd0Y4YIqHJbSV8EFuPxsD6PTi45KwXG51MMaQeLMQQ/oawd1Sccns\nHB8b/F5SiZSHL/5hRZRPRqEYGYVPMM7FjJbvIqSH4ySZO3r0KKKjowEA0dHROHLkyCsfyxjDmTNn\nMH369E4dT0hnqfPVMMLBBNfyKiCRMLnUkfKwAnkVzbdYFTmv3mveVgBAa7WqkC1XHkKDz8NYZ5pb\njpCejpNkrqSkBJaWzYutW1hYoKTkxdM9PH36FH5+fhgyZIg0YSsrK4OhoSHU1ZunqrCxsUFBQYFi\nAic93qiBpsireIrrBfKZQDjxZhHU1XgYpeD1Nfsa9cbgvoY4mSUCY/JJVIns1DY0Yff1fIQ59sGg\nvoZch0MI4ZjcJu8aOXIkiotbP1u0du3aFq95PF6b620+ePAA1tbWuH//PkJDQyEQCGBgYNChOOLj\n4xEfHw8AKC4uRmFhYYeO7yiRiJ47kgVlbUdvo+ZEZ/elLFgF2sq0bMYYDlzPg4+FNsx51SgslO0E\nxS9r0wgnPaw6nYdDV7MQ0FdfpnV3V1x9TxMzy1BR24iRtpqoKH0E+Y+xVjxlPQeoMmpT2VOWNpVb\nMpeUlNTme+bm5igqKoKlpSWKiopgZvbi2wTW1tYAAAcHBwQHB+PGjRuYNm0aKioq0NjYCHV1deTn\n50v3e5HY2FjExsYCAPz8/GBlZdWFT/VqFFFHT6CM7WhpyWBnlIs0UaPM40vNq0Dek3rMH2wHBzvZ\nJorPtBfzm/om+ORMHo4Ln2LaEGe51N8dcfE9PXgoF30NtTF10ABYmegovH5FUcZzgKqjNpU9ZWhT\nTm6zRkREICEhAQCQkJCASZMmtdrn8ePHqKurAwCUlpbi4sWLcHV1BY/HQ0hICBITE9s9nhB54PF4\niHAzx7WHFSivlu0o6sSMIvDVeAgfwM3kr6a6mgh27IOTWY8gkUg4iYG83B8llbiQW45J7uawM6K5\n5QghHCVzK1euxKlTp+Dk5ISkpCSsXLkSAJCamoqYmBgAwB9//AE/Pz94enoiJCQEK1euhKurKwBg\n3bp1+Prrr+Ho6IiysjK88cYbXHwM0kNNcDVHXZMEh24VyazMZ6NY/W0M4GXdsUcJZOl1PxsUPqnD\nMQUtW0Y67scrD8FX42GCiznUaG45QgjkeJu1PSYmJjh9+nSr7X5+ftiyZQsAYOjQobh161arfYDm\n264pKSlyjZGQtgT1N4G2hhpO3HmEmCF2MikzNU+Me2U1iPK25nQd2snuFtBUV8PeG4WIcLfkLA7y\nYk8bmrAzNQ/B/U0wtJ8x1+EQQpQErQBBSAdpqvMR5miKC8LHMrsdufdGPjT4PIweyO00E/paGhjn\nbIakbBHqGpo4jYW0tud6AcpqGjBNYMFp0k8IUS6UzBHSCZMFFiiprMO5e12fQLhJwrD/RiGG2xvD\ny5r7UaRzfG1QVtOAA+nyHflNOoYxho2/3YdTHx1McDXnOhxCiBKhZI6QTni21Fbiza4nPGfvlqK4\nsg6jnU2VordlvKsZDLXUsfcGzd+oTJKyS/F7cSVmeVvDxlCb63AIIUqEkjlCOsFSXwueVvq4kNv1\n5a/2XC+ATi8+whz7yCCyrtNU52O2rw3O3i1FkVi2c92Rztv4232Y9NbAJHeLNufmJIT0TJTMEdJJ\nUwWWuFX0BJnFTzpdRm1DE36+WYRQxz5ws+T+Fuszbwzqi/omhh8u5nIdCkHzdCS/3nmEGZ5WCl2z\nlxCiGiiZI6STZnpaggHYerXz65kezyxBZV0jxjibQltDcWuxvoy3jQHcLHRx6FbrVVyI4m06n4te\nfB6mCSygwafTNiGkJTorENJJzuZ6cLfQw8mszi/nsud6AUx6a2CkEzcTBbcndogd/nhUhXP3SrkO\npUfLr6jF9pQ8jHcxxzAHE67DIYQoIUrmCOmCub42+L2kEtcedvzZuULxUxzLLMFYZzM4mCjfTP6z\nfWygwefhn5cecB1Kj7Y2KQcSxrBgkK1S9d4SQpQHJXOEdMFr3lbgAfjn5Y4nPFuuPkSjhGGahyXU\nlfDWmYlOL0x0Nccvdx6huq6B63B6JGF5DbamPMQUdwsEK8kAGUKI8lG+KwghKqSvUW+EDzDF0d9L\n8LQDk+w2NkkQf+UBhvQ1RFB/5b11tjDAHuKnjfjhIvXOceGzU9ngAZg/yFYppq0hhCgnSuYI6aIl\nw+1RWl2PbSkPX/mYxJtFKBA/xXRPKxj17iXH6Lpm5IA+cDTpjYTUzg/yIJ2TI6pCQmo+pnlYYgQ9\nK0cIaQclc4R00TgXc1jqa2JbyqslPBIJwxenc9DPWBtTBBZyjq5reDwe3h3hgMySKvySWcJ1OD3K\nql/vQEONh3l+ttChXjlCSDsomSOki/hqPHwY1B9p+WL863bRS/c/llmCW0WVmOdvi37Gyjfw4c+i\n/Wyhp8nH17/d5zqUHiMpW4SDGUWI9rNBkCP1yhFC2kfJHCEy8NYwe/TR6YXPk3La3a++UYIVx/+A\nraEWIr2sVGImfz0tdbw11B5nckqRltf1FS9I++oam7D40C3YGmohNsAOmuo0gpUQ0j5K5giRAW0N\nPj4Kc8S1PDF2tHO7deNv93HnURU+COqPAaa6Coywaz4I6o9efDV8+p/2k1XSdRuS7yFbVI3lwY7w\nsjLgOhxCiAqgZI4QGVkyrB9czHXxwb9/R0llXav3b+SL8el/sjDCwRizfKxVolfuGTM9TSwYbItf\n/ihBRoGY63C6rdyyGqxNykGoowmme1pCTU11viOEEO5QMkeIjPRSV8OBub548rQRo/55GRW1/52b\nLbesBhO3pUBfSwMfhznBVFeTw0g755PwAdDgq2HZsUyuQ+mWGpskiN5/Azzw8H5Qf1joa3EdEiFE\nRVAyR4gMCSz1sXOWNzJLquCxIRkbzt7DX3+9A8+/n0NFbQM2Rrhi1EDlW7rrVVjoa+G9EQ44lV2K\n0zmdX8KMvNjapBycv1+OlaGOCB+gmt8RQgg3KJkjRMaivK3xrwX+0NNUx7Jjmfg8KQcu5rrYN9sH\n0z1VY9BDWz4Kc4SpTi+8feg2miSM63C6jfP3y/C3U9kY52KGmCF90UudTs2EkFdHkxcRIgdjXcwx\n1sUc1/PFUFfjwcZQC8ZKPDnwq9LX0sCmye6Ytec6/vafbHw6ZiDXIam8sup6zN5zHdYGWlgR0h+W\ndHuVENJB9POPEDnysTGAh5V+t0jknnnN2wqhjiZYd+YubuRXcB2OSqtrbMKUHddQUlmHtWOdEUgr\nPRBCOoGSOUJIh/B4POyZ7QMdTT5m7ExDVV0j1yGpJMYYYg/exPn75Vg9agBmqPgteEIIdyiZI4R0\nmIW+FvbM9oGwvAZj4q+goUnCdUgq58vTd7EzNR8LA+zwPwH20NKgyYEJIZ1DyRwhpFPGOJvhm8nu\nuCh8jAlbU/C0oYnrkFTGPy8LserXOxjrbIaPwxxhotN9bsMTQhSPkjlCSKctGd4PX4xzxn+yRBj6\n3QUIy2u4DknpJVzLw8LEWwjsZ4yvJrrA1kj51+clhCg3SuYIIV3yUZgTtr/miWxRNdzXJ+Nv/8nC\nk6cNLz+wBzpwowALDqRjUF9DfD3JDe4W+lyHRAjpBmhqEkJIl83z74th9sZ446cMrD6ZjS9P38UE\nV3OMcDDBoL6G8LDSh3YPfybs6O1izNl7A55W+tgY4QY/W0OuQyKEdBOcJHPl5eWIjIyEUCiEvb09\nfvrpJxgZGbXY5+zZs1i6dKn09Z07d7B//35MnjwZ8+bNw7lz52Bg0LwI9Y4dO+Dl5aXQz0AIacnJ\nVBe/LR6GU9kibL4kRPK9MiTeLAIA8ABYG2hhgKkOBpjqSv8bYG/UraZtacvJO48wc2canM10sTHC\nDUP7GXMdEiGkG+EkmYuLi0NYWBhWrlyJuLg4xMXFYd26dS32CQkJQXp6OoDm5M/R0RGjRo2Svr9+\n/XpMnz5doXETQl4ufIApwgeYoqFJgvQCMZLvleFeaTUeVtTi4eOnuJZXgMr/n85EjQcE2BnhfwLs\n8Jq3NTT43e/Jj3P3SjF5+zXYG2vj28luCHLsw3VIhJBuhpNk7ujRo0hOTgYAREdHIzg4uFUy97zE\nxESMHTsWvXvTg8KEqAoNvhr8+xrBv2/LXveGxibkltciNa8CZ++V4mSWCK/vS8fHv9zBhomumOnV\nfeZbS82rwIQtKbDU18QPU9wR4kRrrhJCZI+Tn8ElJSWwtLQEAFhYWKCkpKTd/ffv34+oqKgW21at\nWgUPDw8sXboUdXV1couVECJbGup8DDDTxSxfG/w40wvCVWHYFumJ3r34eG33dYz78SrKa+q5DrPL\n/iipxJj4K9DXUscPUwUYOdCM65AIId2U3HrmRo4cieLi4lbb165d2+I1j8dr91d4UVERbt26hdGj\nR0u3ffnll7CwsEB9fT1iY2Oxbt06fPLJJy88Pj4+HvHx8QCA4uJiFBYWdubjvDKRSCTX8nsKakfZ\nU+Y2HW2jjrA5A/H3i/n439RHcFt3BrunOsLFVLl749tq0zxxHSbvzwKTSBAXYg0P/Ua5n3u6G2X+\nvqoqalPZU5Y2lVsyl5SU1OZ75ubmKCoqgqWlJYqKimBm1vYv1p9++glTpkyBhoaGdNuzXj1NTU3M\nnz8fGzZsaPP42NhYxMbGAgD8/PxgZWXV0Y/SYYqooyegdpQ9ZW/TTZHWmOpXiukJaZh6IAfHYgYp\n/Xqlf27Tkso6zEm4gOoGhvjpnoj07j63jRVN2b+vqojaVPaUoU05uc0aERGBhIQEAEBCQgImTZrU\n5r779u1rdYu1qKh5hBxjDEeOHIG7u7v8giWEKFRQ/z648s5wGGirY+yPV3FFWM51SK+suq4R47Zc\nRX7FU2ya5IYZ3ej5P0KI8uIkmVu5ciVOnToFJycnJCUlYeXKlQCA1NRUxMTESPcTCoXIy8tDUFBQ\ni+Nnz54NgUAAgUCA0tJS/OUvf1Fo/IQQ+erfRweX3h4GQy0NjPnxKv4oqeQ6pJeSSBjm7L2B9AIx\n4sa7YLavDfhqlMgRQuSPk9GsJiYmOH36dKvtfn5+2LJli/S1vb09CgoKWu135swZucZHCOGejWFv\nnFscAL9vzmPcj1dx4/0RMFTiOelWHv8DR24X48MgB8QM7ote6t1vmhVCiHKisw0hRGn176OLn6P9\nkSd+iglbU9AkYVyH9EI7UvKwPvkepntYYnlIf+ho0uI6hBDFoWSOEKLUQp36YGOEKy4KH2PRzze5\nDqeV9AIx3vr5JvxtDfD52IEw1dPiOiRCSA9DyRwhROm9HeiAef62iL/yEAdutH70givip42YnpAK\nPU11rB3rjIFmelyHRAjpgSiZI4SohH9ME2CgqQ7e+vkW8itquA4HjDG8f/IBhOU1+HK8M0YOoNUd\nCCHcoGSOEKIStDT4ODTPHzX1TYjceR0Sjp+f+/rcfZy4W4G3A/thto8NTUFCCOEMJXOEEJXhaqGH\n9RNdcenBY6z5TxZncZy/X4YVx//AcFtdfBTqCC0NPmexEEIIJXOEEJWyZLg9Rg80RdyZu7jMwYTC\nJZV1iNyVBit9TawKtIIZDXgghHCMkjlCiErh8XjYPcsbBloamL3nOmrqGxVWd5OEIWp3GsqrG/DV\neFd4WNKAB0II9yiZI4SonD66mtg72we55bVYcCBDYfV+cuIOzt4tw8pQR0z1sFRYvYQQ0h5K5ggh\nKil8oCneHm6PA+mF2JuWL/f6jmeW4IvTdzHZ3QJLhtvTCg+EEKVBZyNCiMpaP9EVLma6WHz4FvIr\nauVWz93SaszZex0DTHXwSbgT+uhqyq0uQgjpKErmCCEqS1Odj0Pz/FDbIMG0hFS5LPdVXdeIqTuu\ngTFg/QRXeNsYyrwOQgjpCkrmCCEqzdlcDxsnuSHlYQXeO3JbpmUzxvDmwZu4XVSJtWOdMc7FTKbl\nE0KILFAyRwhReQsD7DDL2xrfXxRi33XZLfe1NikH+24U4K2hdpjrZwN1Pp0yCSHKh85MhBCVx+Px\nsDXSE+4WenjzYAZuFz3pcpnbrj7EX09kYayzGVaGOUJfS0MGkRJCiOxRMkcI6Ra0NPj4JWYwevHV\nMPbHqygSd35AxLHMEsQm3sSQvoZYN94Ztoa9ZRgpIYTIFiVzhJBuw9ZIG8diBqG0uh7B/3sZpVV1\nHS7j5J1HmLkzFQP66GDdBBcIrAzkECkhhMgOJXOEkG5lqL0xEqP9IHxcg8GbLnRoypLdafmYuC0F\ntgba2DTZDSP695FjpIQQIhuUzBFCup3xrub494JBKKmqg8eGc/jlj5J296+qa8SSQ7cwd+8NCCz0\n8c/pHggfSCNXCSGqgZI5Qki3NMrZDJfeHgYjbQ2M35KCiK0puCwsB2P/nYuuorYBP1zIhetXZ/HD\nRSFmeVtj92xvBDtRjxwhRHWocx0AIYTIi4eVAW4vD8aKY5nYcvUh/p1ZAkNtddgb90ZNfRNySqvB\nGOBuoYc1MwdimoclDLRp1CohRLVQMkcI6da0Nfj4dooAfw13wj8vP8T1fDFKqupgpK2B4P4mGGpv\njDHOZjDXoyW6CCGqiZI5QkiPYKqrhb+ED+A6DEIIkTl6Zo4QQgghRIVRMkcIIYQQosIomSOEEEII\nUWGUzBFCCCGEqDBK5gghhBBCVBgnydzBgwfh5uYGNTU1pKamtrnfiRMnMHDgQDg6OiIuLk66PTc3\nF4MHD4ajoyMiIyNRX1+viLAJIYQQQpQOJ8mcu7s7Dh06hBEjRrS5T1NTExYvXoxff/0VmZmZ2Ldv\nHzIzMwEAK1aswNKlS3H37l0YGRlh69atigqdEEIIIUSpcJLMubi4YODAge3uk5KSAkdHRzg4OKBX\nr1547bXXcPToUTDGcObMGUyfPh0AEB0djSNHjigibEIIIYQQpaO0z8wVFBTA1tZW+trGxgYFBQUo\nKyuDoaEh1NXVW2wnhBBCCOmJ5LYCxMiRI1FcXNxq+9q1azFp0iR5VdtKfHw84uPjAQDFxcUoLCyU\na30ikUiu5fcU1I6yR20qe9Sm8kNtK3vUprKnLG0qt2QuKSmpS8dbW1sjLy9P+jo/Px/W1tYwMTFB\nRUUFGhsboa6uLt3eltjYWMTGxgIA/Pz8YGVl1aW4XoUi6ugJqB1lj9pU9qhN5YfaVvaoTWVPGdpU\naW+z+vv7IycnB7m5uaivr8f+/fsREREBHo+HkJAQJCYmAgASEhIU2tNHCCGEEKJMOEnmDh8+DBsb\nG1y+fBnjx4/H6NGjAQCFhYUYN24cAEBdXR3ff/89Ro8eDRcXF8ycORNubm4AgHXr1uHrr7+Go6Mj\nysrK8MYbb3DxMQghhBBCOMdjjDGug1CUPn36wN7eXq51iEQimJqayrWOnoDaUfaoTWWP2lR+qG1l\nj9pU9uTdpkKhEKWlpS/dr0clc4rg5+fX7kTI5NVQO8oetansUZvKD7Wt7FGbyp6ytKnSPjNHCCGE\nEEJejpI5QgghhBAVxl+zZs0aroPobnx9fbkOoVugdpQ9alPZozaVH2pb2aM2lT1laFN6Zo4QQggh\nRIXRbVZCCCGEEBXWY5M5XV1drkNo14IFC2BmZgZ3d3euQ3llPB4Pc+bMkb5ubGyEqakpJkyYIJPy\ng4ODX2nU0JgxY2BoaCizepWNPNu5rKwMISEh0NXVxZIlS7pcnqp52XnhVb+Dz6xatQq2trZKf75p\ny9q1a+Hm5gYPDw94eXnh6tWrnSonOTkZly5dkllc9vb2rzRdw6tS9DmDx+Phgw8+kL7esGEDuHri\nSZbfTWU+fyj732BXr/k9NpnjQmNj4yvvO2/ePJw4cUKO0ciejo4Obt++jdraWgDAqVOn2l1q7UU6\n0kZtWbZsGXbt2tXlcpSVLNq5LVpaWvjss8+wYcMGmZTX002cOBEpKSlch9Eply9fxrFjx3D9+nXc\nvHkTSUlJsLW17VRZsk7muuJF5xhFnzM0NTVx6NAhmSakXPhzW9L5oyVFXvN7dDJXVVWFsLAw+Pj4\nQCAQ4OjRowCaJ+lzcXHBm2++CTc3N4waNUp64Xz+l3lpaal0EmKhUIjAwED4+PjAx8dHeuJKTk5G\nYGAgIiIi4Orqik8++QTffPONNIZVq1Zh06ZNrWIbMWIEjI2N5fnx5WLcuHE4fvw4AGDfvn2IioqS\nvpeSkoKAgAB4w9jhEQAADtpJREFUe3tj6NChyMrKAgDs2LEDERERCA0NRVhYGIDmVT4EAgE8PT2x\ncuVKaRkHDx7EoEGDMGDAAJw/f/6FMYSFhUFPT09eH1EpdKadR4wYgfT0dOl+w4cPR0ZGRotydXR0\nMHz4cGhpaSngUyin5OTkFj00S5YswY4dO1rss23bNrz33nvS1z/++COWLl3aqqwhQ4bA0tJSbrHK\nU1FREfr06QNNTU0AzZOuP1uDMi0tDUFBQfD19cXo0aNRVFQEoPn8+O6778LLywvu7u5ISUmBUCjE\n5s2bsXHjRnh5eeH8+fMQiUSYNm0a/P394e/vj4sXLwIA1qxZg+joaAQGBsLOzg6HDh3C8uXLIRAI\nMGbMGDQ0NEjj++qrryAQCDBo0CDcvXsXANotd+7cuRg2bBjmzp3b6rMq+pyhrq6O2NhYbNy4sdV7\nQqEQoaGh8PDwQFhYGB4+fAixWAw7OztIJBIAQHV1NWxtbdHQ0IB79+5hzJgx8PX1RWBgIO7cuQOg\nOTl46623MGTIEDg4OCA5ORkLFiyAi4sL5s2b16LOpUuXws3NDWFhYdKF49srd+HChRg8eDCWL1/e\nohxlP39062s+66F0dHRYQ0MDE4vFjDHGRCIR69+/P5NIJCw3N5fx+Xx248YNxhhjM2bMYLt27WKM\nMRYUFMSuXbsmPcbOzo4xxlh1dTWrra1ljDGWnZ3NfH19GWOMnT17lvXu3Zvdv3+fMcZYbm4u8/b2\nZowx1tTUxBwcHFhpaekLY8zNzWVubm5y+PTyoaOjwzIyMti0adNYbW0t8/T0ZGfPnmXjx49njDEm\nFotZQ0MDY4yxU6dOsalTpzLGGNu+fTuztrZmZWVljDHGfvnlFxYQEMCqq6sZY0y6PSgoiL3//vuM\nMcaOHz/OwsLC2ozl+Xq7m862844dO9i7777LGGMsKytL+h19ke3bt7PFixfL+ZMoHx0dnVbfncWL\nF7Pt27czxv77919ZWckcHBxYfX09Y4yxgIAAdvPmzXbLVTWVlZXM09OTOTk5sbfeeoslJyczxhir\nr69nAQEB7NGjR4wxxvbv38/mz5/PGGtun5iYGMYYY+fOnZOev1avXs3Wr18vLTsqKoqdP3+eMcbY\ngwcPmLOzs3S/YcOGsfr6epaens60tbXZL7/8whhjbPLkyezw4cOMMcbs7OzY559/zhhjLCEhQfrv\n1V65Pj4+rKamps3Pq8hzho6ODhOLxczOzo5VVFSw9evXs9WrVzPGGJswYQLbsWMHY4yxrVu3skmT\nJjHGGIuIiGBnzpxhjDW3+RtvvMEYYyw0NJRlZ2czxhi7cuUKCwkJYYwxFh0dzSIjI5lEImFHjhxh\nenp67ObNm6ypqYn5+PhIr28A2O7duxljjH366afSv/v2yh0/fjxrbGxs8/Mp4/mju1/z1TufBqo+\nxhg+/vhj/Pbbb1BTU0NBQQFKSkoAAP369YOXlxeA5mHHQqGw3bIaGhqwZMkSpKeng8/nIzs7W/re\noEGD0K9fPwDNz3qYmJjgxo0bKCkpgbe3N0xMTOTzATng4eEBoVCIffv2SdfZfUYsFiM6Oho5OTng\n8XgtfmWHh4dLf5UkJSVh/vz56N27NwC0+LUydepUAK/2b9KddaadZ8yYgc8++wzr16/Htm3bWv06\nJ69OV1cXoaGhOHbsGFxcXNDQ0ACBQMB1WDKlq6uLtLQ0nD9/HmfPnkVkZCTi4uLg5+eH27dvIzw8\nHADQ1NTUovfxWS/xiBEj8OTJE1RUVLQqOykpCZmZmdLXT548QVVVFQBg7Nix0NDQgEAgQFNTE8aM\nGQMAEAgELf7mn9UTFRUl7RVtr9yIiAhoa2t3uV1kRV9fH6+//jq+/fbbFnFdvnwZhw4dAgDMnTtX\n2vsVGRmJAwcOICQkBPv378eiRYtQVVWFS5cuYcaMGdLj6+rqpP8/ceJE8Hg8CAQCmJubS7+jbm5u\nEAqF8PLygpqaGiIjIwEAc+bMwdSpU19a7owZM8Dn8+XQKvLVna/5PTqZ27NnD0QiEdLS0qChoQF7\ne3s8ffoUAKS3FgCAz+dLu1zV1dWlXd3P9gWAjRs3wtzcHBkZGZBIJC26mXV0dFrUGxMTgx07dqC4\nuBgLFiyQ2+fjSkREBD788EMkJyejrKxMuv2vf/0rQkJCcPjwYQiFQgQHB0vf+3MbteXZvwufz5fJ\n83WqrKPt3Lt3b4SHh+Po0aP46aefkJaWxlHkyu35v3Gg5d/582JiYvDFF1/A2dkZ8+fPV1R4CsXn\n8xEcHIzg4GAIBAIkJCTA19cXbm5uuHz58guP4fF47b4GAIlEgitXrrzwdtyzv3E1NTVoaGhIj1dT\nU2vxN/98uc/+v71yX/Uco0jvvfcefHx8Xun7ExERgY8//hjl5eVIS0tDaGgoqqurYWho2OLxiec9\n35bPX9P+3JbP4/F4kEgk7ZarjG35KrrzNb9HPzMnFothZmYGDQ0NnD17Fg8ePHjpMfb29tKLYGJi\nYouyLC0toaamhl27dqGpqanNMqZMmYITJ07g2rVrGD16dNc/iJJZsGABVq9e3aqnQiwWSx/U//Mz\nSM8LDw/H9u3bUVNTAwAoLy+XW6yqrDPtHBMTg3feeQf+/v4wMjJSVKgqxc7ODpmZmairq0NFRQVO\nnz79wv0GDx6MvLw87N27t8Uzi91FVlYWcnJypK/T09NhZ2eHgQMHQiQSSZO5hoYG/P7779L9Dhw4\nAAC4cOECDAwMYGBgAD09PVRWVkr3GTVqFL777rsWZXfUs3oOHDiAgIAAmZWrSMbGxpg5cya2bt0q\n3TZ06FDs378fQHPyERgYCKC5p9Tf3x/vvvsuJkyYAD6fD319ffTr1w8HDx4E0Nzz9OfnYF9GIpFI\nr2V79+7F8OHDZVKuMurO1/wemcw1NjZCU1MTs2fPRmpqKgQCAXbu3AlnZ+eXHvvhhx/iH//4B7y9\nvVuMRFq0aBESEhLg6emJO3futPvLpVevXggJCcHMmTPb7KqOiopCQEAAsrKyYGNj0+KPXdnZ2Njg\nnXfeabV9+fLl+Oijj+Dt7d1ur9qYMWMQEREBPz8/eHl5dXhkVGBgIGbMmIHTp0/DxsYGJ0+e7PBn\nUAWdaWdfX1/o6+u32xNgb2+P999/Hzt27ICNjU2L21bd2bPzgq2tLWbOnAl3d3fMnDkT3t7ebR4z\nc+ZMDBs2rM3EePny5bCxsUFNTQ1sbGw4m36iM6qqqhAdHQ1XV1d4eHggMzMTa9asQa9evZCYmIgV\nK1bA09MTXl5eLUaqamlpwdvbGwsXLpSetyZOnIjDhw9LB0B8++23SE1NhYeHB1xdXbF58+YOx/f4\n8WN4eHhg06ZN0oEEnS2Xy3PGBx980OJa8t1332H79u3w8PDArl27WjwsHxkZid27d0tviwLNCd/W\nrVvh6ekJNzc36UP9r0pHRwcpKSlwd3fHmTNn8Mknn3SpXGU8f/SEa36PXAEiIyMDb775JmdTBkgk\nEvj4+ODgwYNwcnLiJAbSMxUWFiI4OBh37tyBmlqP/C3Xps6cFyZMmIClS5dKR2H3dMHBwdiwYQP8\n/Py4DoUQqZ5wze9xZ/PNmzcjKioKn3/+OSf1Z2ZmwtHREWFhYZTIEYXauXMnBg8ejLVr11Ii9ycd\nPS9UVFRgwIAB0NbWpkSOECXWU675PbJnjhBCCCGku6Cf54QQQgghKoySOUIIIYQQFUbJHCGEEEKI\nCqNkjhDS7fD5fHh5ecHNzQ2enp74+9//3mIiYHlYtmwZ3NzcsGzZMrnWQwghf0YDIAgh3Y6urq50\nGadHjx5h1qxZGDZsGD799FO51WlgYIDy8nKFLHPU2NgIdfUevYAPIeQ51DNHCOnWzMzMEB8fj++/\n/x6MMQiFQgQGBsLHxwc+Pj7SCW9ff/11HDlyRHrc7NmzW02UyhjDsmXL4O7uDoFAIF2FICIiAlVV\nVfD19ZVuA5rnl3JycoJIJJK+dnR0hEgkgkgkwrRp0+Dv7w9/f39cvHgRAJCSkoKAgAB4e3tj6NCh\nyMrKAtC8mkdERARCQ0NpOhRCSEuMEEK6GR0dnVbbDAwMWHFxMauurma1tbWMMcays7OZr68vY4yx\n5ORkNmnSJMYYYxUVFcze3p41NDS0KCMxMZGNHDmSNTY2suLiYmZra8sKCwvbrJMxxtasWcM2btzI\nGGPs5MmTbOrUqYwxxqKiotj58+cZY4w9ePCAOTs7M8YYE4vF0npPnTol3X/79u3M2tqalZWVdbJV\nCCHdFfXTE0J6lIaGBixZsgTp6eng8/nIzs4GAAQFBWHRokUQiUT4+eefMW3atFa3Mi9cuICoqCjw\n+XyYm5sjKCgI165dQ0RERJv1LViwAJMmTcJ7772Hbdu2SZdSS0pKarHU0ZMnT1BVVQWxWIzo6Gjk\n5OSAx+OhoaFBuk94eDiMjY1l2RyEkG6AkjlCSLd3//598Pl8mJmZ4dNPP4W5uTkyMjIgkUigpaUl\n3e/111/H7t27sX//fmzfvl0mddva2sLc3BxnzpxBSkoK9uzZA6D5luuVK1da1A8AS5YsQUhICA4f\nPgyhUIjg4GDpe+2t/0gI6bnomTlCSLcmEomwcOFCLFmyBDweD2KxGJaWllBTU8OuXbvQ1NQk3Xfe\nvHn45ptvAACurq6tygoMDMSBAwfQ1NQEkUiE3377DYMGDXppDDExMZgzZw5mzJghHSAxatQofPfd\nd9J90tPTAQBisRjW1tYAmp+TI4SQl6FkjhDS7dTW1kqnJhk5ciRGjRqF1atXAwAWLVqEhIQEeHp6\n4s6dOy16u8zNzeHi4iK9FfpnU6ZMgYeHBzw9PREaGoqvvvoKFhYWL43n2QCJ58v99ttvkZqaCg8P\nD7i6umLz5s0AgOXLl+Ojjz6Ct7c3Ghsbu9IMhJAegqYmIYSQ/1dTUwOBQIDr16/DwMBAZuWmpqZi\n6dKlOH/+vMzKJISQZ6hnjhBC0DwgwcXFBW+//bZME7m4uDhMmzYNX375pczKJISQ51HPHCGEEEKI\nCqOeOUIIIYQQFUbJHCGEEEKICqNkjhBCCCFEhVEyRwghhBCiwiiZI4QQQghRYZTMEUIIIYSosP8D\nv5EhaChwTxcAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 720x432 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from fbprophet.plot import plot_yearly\n",
"m = Prophet().fit(df)\n",
"a = plot_yearly(m)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The default values are often appropriate, but they can be increased when the seasonality needs to fit higher-frequency changes, and generally be less smooth. The Fourier order can be specified for each built-in seasonality when instantiating the model, here it is increased to 20:"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Initial log joint probability = -19.4685\n",
"Optimization terminated normally: \n",
" Convergence detected: relative gradient magnitude is below tolerance\n"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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csCrWrf/bceLQlgx1WTLURafXZ9U2pxQ1HMuoeS+pcN4gwTtPufVzvkiDX9KqPv1LHMRn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\nAAAAgCP/B8DEufnLbyVrAAAAAElFTkSuQmCC\n"
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%%R -w 9 -h 3 -u in\n",
"m <- prophet(df, yearly.seasonality = 20)\n",
"prophet:::plot_yearly(m)"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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zsWTJEmRlZeFXv/oV1q5dCwB47bXXkJWVhZycHLz22mt49913xSp3VDFoekMb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\nRERkAFi0ERERERkAFm1EREREBuD/Ae1lymcsZqi8AAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 720x432 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from fbprophet.plot import plot_yearly\n",
"m = Prophet(yearly_seasonality=20).fit(df)\n",
"a = plot_yearly(m)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Increasing the number of Fourier terms allows the seasonality to fit faster changing cycles, but can also lead to overfitting: $N$ Fourier terms corresponds to $2N$ variables used for modeling the cycle\n",
"\n",
"### Specifying Custom Seasonalities\n",
"\n",
"Prophet will by default fit weekly and yearly seasonalities, if the time series is more than two cycles long. It will also fit daily seasonality for a sub-daily time series. You can add other seasonalities (monthly, quarterly, hourly) using the `add_seasonality` method (Python) or function (R).\n",
"\n",
"The inputs to this function are a name, the period of the seasonality in days, and the Fourier order for the seasonality. For reference, by default Prophet uses a Fourier order of 3 for weekly seasonality and 10 for yearly seasonality. An optional input to `add_seasonality` is the prior scale for that seasonal component - this is discussed below.\n",
"\n",
"As an example, here we fit the Peyton Manning data from the Quickstart, but replace the weekly seasonality with monthly seasonality. The monthly seasonality then will appear in the components plot:"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Initial log joint probability = -19.4685\n",
"Optimization terminated normally: \n",
" Convergence detected: relative gradient magnitude is below tolerance\n"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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nmLYnVVGr2zkuTMxnwSpvAMAWHA4xONh5UJDzgZTSpedyvruQ835336GhzqS1\nrpxrqyw681dNTU3Ld1IvLpf7aD3mltPpDZ8df7DxWu660RH9gsw4QRiPx2vSGp81Gt2ErUkavWHn\npCimsjJFUWxcTrWpRW0NTHtWWwwbixpn9ZP0BsPuW4VfncrgkpxP+sqGhklNkp0pimLjKuNmLWqN\nRuPg4PD4lvoT86xZs1auXPnoaXx8/IYNG1p+eKvt/FWvI6llbx968Hpnz3e7eZvpB2OTOhTUaPRT\nfkshCcOvo0MFXDP2zmgYOn9ZDDp/WUwr7/zVAJ3e8Nudkq/P5Yj55LwevgMDnVv4XYjOX/V6Ruev\nsLAwgiCysrJOnjxp3KLVah0dHc0XkNUaFOx8zE00bU/K1dyqH4cGWbLn85OUGv3EnXdFPGrDqFA+\nhWYlALAEiuSMjXAb2c511+2Sj//M/OZ87rwevv0CWmNGsKS6yebcuXMEQbzxxhurVq16tLF1JmaC\nIPydBEdfbv/+Hxl91yetGxEc7WnHSBiKWt34HXddRLyfhgchKwOAhXFJzoRIt9HhLttvFb//R7qH\nHf+D7j69Za00L1jAU8cxmwO7mrIf9+vNwoUnsxb09ns5xt2Eu21M80ilWjtuxz1PO96aYUFmHV/Y\nSGjKthg0ZVsMmrIbr1an33yzaNnFXF8JPa+nb482kia9HU3Z9WrU6lJQx9Ro998mhC27mPvmwfuW\nnPy9QqUdve2un4ReOzzYGrIyALRyfIp8paPHlZkdhoW5ztx/f/iW5EvZLPvtaP3wXd9Y0Z52x+Pb\nl1RrBv16K6NcZYEjlik1I7feCXYVrhoSiMH+AGA9aIozvZPH1ZkxA4Ocp+1JGb39bkIu0rPJIDE3\ngbOIt3Vs6EshLgM33jqSWmbWY5UoNSO23mnvLl7+YgCFrAwA1kfAJWd28bz2Rofn2zpM3nVv/I67\n1/MUTAdlC5CYm4bkcN7r7rNmaNCcIw/+czpLpzfLHfqias3wLXe6+Np/PzgAQ/sBwJqJeORbXb2v\nvdHhOV+H8TvvTtp1L6mAZZ0MrA0Sc3P0ljkej48891A+evvd4moTjzrPr6odtiW5RxuHJQNkSMoA\nwAp2fGpOnPfVmTHRnnYjt92J35Nyp1jJdFBshcTcTD4S+sDkiGBXYZ91SVdyTHZzJbdSPWxLcv8A\nx//290dWBgB2caC573f3uTozJsRVOGRT8qu/p95Dem46JObm41OcxQP8F/T2m9xcodIAACAASURB\nVLDz3pqE/JbvMFuuHro5eUioy+d92yIrAwBLOQq4H/X0S5gR7e8kGLzp9uv70u6Xmms+ZpuExNxS\nYyLcDk4JX3+94LW9qYpaXbP3k1mhGroleUyE2/xefiYMDwCAEc4i3ie9/BJmdPC05/ffcGvWgfuW\nGc9iA5CYTSDMTfRnfKRObxiw4VZKSXPabR6UqYZtTp4S5f5hT1+ThwcAwBQXEfezPm0uz4hxFHB7\nr0t6Y9+9zHJcPT8DErNp2NPUuhEhk6OkL25K3nOnoQnOtHpDhUpbotQ8rFCnFlcnFlSfSq8YtiX5\n1Y4e73bztljAAAAWIxXzvuzf9uK/okU8quOyC3OPpOfIWbaWlyVhSk4Tu5hdOX1vWltHWsCj5Cqt\nwWCQq3R6g6FSrdMbiEq11vgyLsmx41N8LinkcvgUOa2Dx/ROHsxG3kiYktNiMCWnxWBKTouhabpY\nZfj8j3u7k0vGtXd7J9bb057PdFDPxvDqUtBCsb4OJ1+JvJhVyeEQ9jSXJAyOQh6HICQCLskh7GmK\n4nDs6b+XUmbj/ysAgJbwkQi+fkE2O9b763M5sWtvTox0mx3r7W7HgvRsMUjMpicV84aFuTAdBQCA\n9fKV0MteDJjTzfub87ld19ycEi19O9bbVcRjOi6r0PzEvHv37suXLxMEoVAounTpMm3aNIIgSkpK\n5s6dK5VKCYKYM2eOl5eXqQIFAAAb09ZR8MOLAe/Eei89l91x5fXXOnvOes7LWWilV4yJ+QqCIKLM\nv/5v8z//6NGjR48eTRDEypUrBw0aZNxYXFw8ePDgcePGmSY6AACwdQHOgtVDg1JKlEvP5cSsvPZ6\nZ883nvNyFDCWno0J+HFCoa6mxnKdyVv6ybOysoRCoYfH3x2XCgsL8/LyVqxYERER0atXr5ZGBwAA\nrUOIq+jn4cF3i5UfH8uMuXp9ZJjLqHDXuCau99xsTyZjBrW0V/a33347ffp0e3t749MrV67I5fKY\nmJhly5aNGTMmMjKSIIipU6fm5OS4urru2LHDBCE/BYdj0R7mrRmK2mJQ1BaDoraYxhT1jVz5nH3J\nN3PlE2N8JnTwEvGoR3/q6OtokjCuZVc0742mCuCRmpoakUj0+JYWnYvV1dXff//9xx9//OSfTp06\nVVpaamzrLiws1Gq1FEXRNN3sYzWMpmkul8u6Hs5CodCSzSMmwefzaZpm3RgeNhY1zmqL4fF4AoEA\nZ7UF8Pl8Pp+vUDTq8nRHUtGG6/l3i5Xj2ktHtHMTcBmbqVggEKhUf09bFu1lb9qd6/V6F5d/9Bdu\nUVP2tWvXjNfEj2zbtq1du3ZRUVFZWVmBgYHGje7u7sYH5hvHbDAYDAaDTtf8GTEZwcaY9Xo9G8Nm\nY8woaouhKIqNYbMx5iad1aPDXYKc6TtFyo03C3fdKhrX3m1oqAvNZWBeLIPBoNfrjY8tUOYtSswJ\nCQljx441Pk5NTT127Ni4ceO+/fbb3bt3u7i4xMbGmiJCAABopaI87aI87dpJRbeLlBuuF+y6XTw+\nUvpSqAuftOV1fjDzF5PYOMEIZv6yGMz8ZTGY+ctiaJqmabqysrKpbzR2zkosqN5wvSBfUTuhvXRw\niDPPUun58bsG5hguVWfmL8yVDQAA1s6YDqM8xN8NDni/u8+JjIqXf0s5mFKm+f8WZltipeO4AQAA\nHmfMzYn5io5e9h297K/kVm28XrgtqWhKtLR/gBNlQ43bSMwAAMAaUZ52xmbtLt72XbztL2ZVbrxZ\nuDWxeHK0tJ/MkbSJ9IymbAAAYJPH7/LG+jn8OCToX509d90ufnVv2sn0Cj37x6MjMQMAAMs8nps5\nHKJ7G4c1w4LiY9y3JBZN35t2JkPO6vSMxAwAAOxTp3c0yeE87y/5aXjQpCjphhuFr+9LO/ewkqXZ\nGYkZAABY6cmRSySH00fm+MvwoDERbmsT8mceSLuYxb70jMQMAABsVe+oYpLkDAh0Wj8yeHiYy4rL\neW8evH8ll03zAaBXNgAAsNijftp1UCTnhSDnvgGOf6RVfH8h11XMezla2tHUM12bAxIzAACw26Mh\nzk/+iUeSL4U4DwxyOpxStvRcjqcdP76DR5SH2OIxNgGasgEAwBY0MFkmj+QMC3P5dXRoj7aSL08/\nfO9o+u0ipSVjaxIkZgAAsBENT2TNJzkj27luGh36nI/9pycy5x3LuGOV6RlN2QAA0IrQXHJMhNuQ\nUJe9d0o+OZEZ6ip8OcY9xFXEdFz/gytmAACwHY1c/UnAJcdHSjePDg2Xij86lrngxMP7ZTXmjq2R\nkJgBAMCmNH5lRhGPnBQl3TQ6JNBZ8N7RjIUnszLKVWaNrTGQmAEAwNY0adVkMZ+aGuO+aXSIryP/\nncPp/zmd9bCCyfTMMVhwTpRHC02bHJfLJUmytrbWTPs3Ex6Pp9FomI6iaSiK4nK5arWa6UCaho1F\njbPaYnBWWwxFURRFWeysvpFb2dS3yFXarTfz99wu6t7WcVonbz9HAUEQXC5Xq9UaXxDj7WDaIDUa\njYPDP/Zp0cRcUlJipj0LhUIul1tVxaa5XQiCEIvF1dXVTEfRNDRNCwQCuVzOdCBNw8aiFggEPB4P\nZ7UF8Pl8oVCIs9oCaJqmabqyssn5stnqHdz8TBUq7fakosOp5d3bOEyOdg+QSh5dWDbpWryRXF1d\nH3+KpmwAALBZzcujjgLujC5eG0YGi/nU6/vSFp3OKFRYru0KiRkAAGxZs69xnUW8Wc95rR8ZzCM5\nr+1N+/5CblG1JdIzEjMAANi4lrQ/u4p4c3u2/WV4kIEgZu6/r9ToTRhYvTDBCAAA2L4G5tNuDKkd\nf06c9+udPEU8s1/Q4ooZAACgUUR8SyRNJGYAAGgtojztzNGt2rSQmAEAAKwIEjMAALQuVn7RjMQM\nAACtjjXnZiRmAABojaw2NyMxAwBAK2WduRmJGQAAwIogMQMAQOtlhQOokJgBAACsCBIzAAC0dlZ1\n0YzEDAAAYEW5ufmLWOzevfvy5csEQSgUii5dukybNo0gCK1Wu3z5coVC4efnFx8fb6ooAQAAzC3K\n067Zq1yYUPOvmEePHr106dKlS5dGREQMGjTIuPHSpUteXl4LFizIz8/PyckxUZAAAACWYA3XzS1t\nys7KyhIKhR4eHsanaWlpMpmMIAiZTJaWltbS6AAAACyL8dzc0vWYd+/ePX369EdPlUqlq6srQRAu\nLi4Kxd8NAgsXLiwsLHR0dFy4cGELD/c0JElyOByJRGKm/ZsJRVFcLsuWxCZJkiRJFLUF4Ky2GJzV\nFsOWou4pkVzPkT96SpIkRVHGxyYPXq1W19nSokqtrq6uqamxt7d/tEUkEpWWlspkstLSUqlUatzY\nv39/pVJJ07RKpWrJ4RrA5/NJkjTf/s2Epuknq8TKcblcPp+PorYAHo/H5XJR1BaAs9piWHRWt3Ol\nb+ZVGR/zeDyNRmN8bPLgtVptnS0tSszXrl2LjIx8fEtQUFBmZmbnzp2zsrLi4uKMGx89KCkpacnh\nGkCSJJfLZd05ysaYCXaGzcaYORwOh8NhXdhsLGqDwcDGsNkYM0EQJEmyJewwF76xLxhFUbW1tcaN\nFgi+RfeYExISoqOjjY9TU1NXrFjRtWvX3NzcpUuXSqVSX19fU0QIAADQinAMBoPFDma+K2ahUMjl\ncquqqsy0fzMRi8XV1dVMR9E0NE0LBAK5XP7sl1oTNha1QCDg8Xg4qy2Az+cLhUKc1RZA0zRN05WV\nlUwH0gSJ+QqhUFhTU2N8ao6uYca+WY9gghEAAICnsnwnbSRmAACAhsR4O1jycEjMAAAAVgSJGQAA\n4BksuTokEjMAAECjWCY3IzEDAABYESRmAAAAK4LEDAAAYEWQmAEAAKwIEjMAAIAVQWIGAACwIkjM\nAAAAVgSJGQAAwIpYdHUp8zl06FBKSsq7777LdCC278KFC0eOHPnPf/7DdCC279ixYzdv3vzggw+Y\nDsT2JSQk/Pbbb4sWLWI6ENt36tSp8+fPf/LJJ0wHYtVs5IpZoVCUl5czHUWrUFNTY77lO+FxCoWi\ntLSU6ShahZqamuLiYqajaBWUSiXO6meykcRsZ2fn5OTEdBStglAorLN0KJiJnZ2di4sL01G0CkKh\n0M3NjekoWgWRSISz+plspCkbAADANtjIFTMAAIBt4DIdQBMolcqvvvpKq9WKxeIPPviAJMnly5cr\nFAo/P7/4+HitVvv4U6VSuWjRIp1O5+bmNnv2bA6Hw3T4bNJwURtf88UXX7z33nsCgaBOyTMZNws1\nqajrvJjP5zMaO8s0qaiNTxMTE0+ePDlnzhzGgmanJhW1wWD46aefioqKHBwc3nrrLXxXEwRBffbZ\nZ0zH0FjHjh1zdXV96623cnNzS0pKCgoKDAbDrFmzjhw54u/vf/v27cefXr161cXF5c0337x48aKL\niwvuajRJw0VNkuTHH3+clJQ0ZswYLpd74cKFx//q4ODAdPhs0qSirvNimUzGdPhs0qSiJghCqVSu\nXLlSLBbHxsYyHTvLNKmor169WlVV9eabb9bW1tI0bWdnoTWPrRmbmrKDgoJ69epFEISdnR2Px0tL\nSzN+MclksrS0tDpP3dzcsrKyysvLS0pKHB0dmY2cdRouajs7u8WLF0dGRhpfXOevzEXNSk0q6jov\nZixodmpSURMEsXHjxtGjRzMVLas1qajv3Lmj0+mWL19eU1Pj4eHBYNjWg02JOTg42MXFJSEh4cKF\nC507d1YqlcbuwS4uLgqFos7TwMDA9PT0JUuWcLlcdNhuqoaLmiAIkiQftTg9+VdovCYVdZ0XMxk3\nCzWpqBMSEtzd3f38/JiMmLWaVNQKhaKgoGD8+PGXL1++ceMGk3FbDTYlZoIgdu3ade7cuU8++UQk\nEolEIuN4uNLSUjs7uzpPd+7cOXXq1K+++ioqKur06dMMx81CDRR1nVc2/Fd4psYXdZ0XWzxS1mt8\nUe/duzc5OXnlypW3b9/+448/mAiW3Rpf1GKxuF+/flKptEePHg8ePGAiWKvDpsR88eJFhUIxZ84c\nsVhMEERQUFBmZiZBEFlZWYGBgXWeajQa40gwvV6v1WqZjJuFGi7qOi9u+K/QsCYVdZ0XQ5M0qai/\n/PLL+fPnz5o1KyIiYuDAgZaPltWaVNSBgYH3798nCCIjI8Pd3d3iwVojNnX+OnTo0O3bt8+cOXP8\n+HGapmNjY0+cOHH27FmpVNqzZ08vL6/Hn7Zp02bjxo1nzpyRy+WTJk0y9uaARmq4qI2vOXXqVM+e\nPblcbp2SZzZy1mlSUdd5cZs2bZgNnl2aVNTGp9XV1UlJSej81VRN/QI5fPjw4cOHDQbD2LFjSZJN\nl4tmgglGAAAArAh+mwAAAFgRJGYAAAArgsQMAABgRZCYAQAArAgSMwAAgBVBYgZoXRYvXrxs2TKm\nowCAp0JiBgAAsCJIzAC2T6PRzJw5s23bts8991xSUhJBEJWVlUOGDPH19Q0KCjp58iTTAQLA/yAx\nA9i+X375JTMzMzU19cCBA+fOnSMIYsuWLU5OTtnZ2T/++OP+/fuZDhAA/geJGcD2nTlz5o033uDz\n+VKpdOzYsQRBxMXFnT17dv78+XZ2dt9//z3TAQLA/yAxA9i+x1fZoyiKIIioqKgbN254e3t/9tln\nI0eOZDQ6APgHzJUNYPvWrl174MCB33//vbKyskuXLm+99ZZcLtfpdAsXLszPzw8ODq6srHyUuQGA\nWVhzCcD2TZs27caNGyEhIW5ublOmTHFycho6dOj48eM3btzI4/F++OEHZGUA64ErZgAAACuCe8wA\nAABWBIkZAADAiiAxAwAAWBEkZgAAACuCxAwAAGBFkJgBAACsCBIzAACAFUFiBgAAsCJIzAAAAFaE\n4Sk5q6urTbg3kiRJktRqtSbcJ1MoitLpdExHYQK2VCmEDdULQRA8Hk+r1drM3H+2VDUEase68Xg8\nnU6n1+tNtUOxWPz4U4YTc01NjQn3RtO0QCAw7T6ZIhaLbeOD2FKlEDZULwRBGOtFo9EwHYhp2FLV\nEARB07RGo0HtWCeapk37f6dOYkZTNgAAgBVBYgYAALAiSMwAAABWBIkZAADAiiAxAwAAWBEkZgAA\nACvC8HAp1lHU6n5LLjmQUnarsLpMqbGnqQ5e9sNCnce3d+NR+JUDAAAthcTcWFq94edrBd+dz4lw\nF48Kd/2qf1s3Ma9SrbuQVbnuWsGKS3krXgrs7GPPdJgAAMBuSMyNcr+05o0D9w0EsXlMaGfv/2Vf\nRwHXr73buAi3bbeKxu+899/+bce1d2MwTgAAYDsk5mc7klr29qEHM7p4zo715pKcJ1/A4RATI6Wh\nrqLxO++K+NSQEGfLBwkAALYBifkZfr5WsORs9tphQb1ljg2/soOX3YaRIVN2p3jZ8zp6oU0bAACa\nA/2VGvL1uZzlF3P3TQp/ZlY2ivNzWNi3zYx99xW1tjNdOwAAWJLpE/MXX3yhUqkePdVqtd9+++3n\nn3++YcMGkx/LrJaczd6aVHRwSkSYm6jx75ocJY1wF/37zwzzBQYAADbMlIlZoVC8//77V65ceXzj\npUuXvLy8FixYkJ+fn5OTY8LDmdWKS3lbk4r3TQr3k9BNfe/XLwQcTStPyK0yR2AAAGDbTJmY7ezs\nFi9eHBkZ+fjGtLQ0mUxGEIRMJktLSzPh4cxnc2LRqit5v01o59v0rEwQhIuI+35334+OZehtZS1V\nAACwGBN3/iJJksP5R79lpVLp6upKEISLi4tCoTBuXLhwYWFhoaOj48KFC017dJIkJRJJS3Zy+F7R\nwlNZf7zWOcbbodk7eae3w+ak4iMZyokxXs3bA0VRXK4tdM0zSaVYD5upF4IgSJIUi8UGW/n5aEtV\nQxAERVGoHatl2tpRq9V1tpi9pEQiUWlpqUwmKy0tlUqlxo39+/dXKpU0TT9+N7rluFwuj8dryT4T\n86te3p60YUx4mAu/hbHN6+n3xYn7w0KcqPpGWD0TTdNP1hYbcblcPr+lhWk9bKZeCIIQi8W1tbU6\nnY10VLSlqiFQO9bNtLWj1WrrbDF7Yg4KCsrMzOzcuXNWVlZcXJxx46MHJSUlpj0cl8ttdvUXKGrH\nbb21oLdfdx9Ry8+hFwIcvjpN7LiZNyrctRlvb8kHsTb4LNZJJBJpNBqNRsN0IKZhS1VDEIRQKETt\nWC1z144Zh0ulpqauWLGia9euubm5S5culUqlvr6+5jtcC6m0+qm7U4aGukyNdjfJDkkO590472UX\nc02yNwAAaCU4zN7DMO0VM03TAoFALpc3470z9qeV12i3jgltXstzvbR6Q6cfb6x4KaB7mybfYRWL\nxdXV1aaKhEEtqRQrZDP1QhCEk5OTQqGwmWsyW6oagiAcHR2rq6tRO9bJ5LVj7In1CCYYIQiCWHU5\n70aeYu2wIBNmZYIguCRnWgf3n64WmHCfAABg25CYibMP5d9eyN04KkQiMP0d9ynR7mcy5dly27m5\nAgAAZtXaE3Nupfpfe9O+GxwQ2pTpvRrPWch9Mdh5S2KROXYOAAC2p1Un5lqd/rW9aePau5l1PagJ\nkW47bhdjshEAAGiMVp2YPz3xkE9xPunlZ9ajdPOTkATxV6aN9H4CAACzar2Jed/d0v33StcOC6p3\niWUT4nCICZHS7beKzXoUAACwDa00MWeUq947mr5qSKC7Hd8Chxvb3u1IaplSo7fAsQAAgNVaY2JW\n6wyv/J4yo4vn8/6NWmW55fwkdKib6M/75ZY5HAAAsFdrTMwLTmRKaO47sd6WPOjwMNff75p4/lEA\nALA9rS4xH0wpPXCvdO3wYNPOJfJMw8JcTqZXVKltZEp6AAAwk9aVmHPk6rlHM1a+FCgV8yx8aC97\nfqS7+BhaswEAoEGtKDFr9YbX96dNipT2llno1nIdL4a4HE4tY+TQAADAFq0oMX9zPkejM3zU04ep\nAAYFO51Mr1DrMNMIAAA8VWtJzJdzqn66WrBmWBCPYuwjt3UU+ErovzIrmAoAAACsX6tIzJVq7cz9\naV/0bePvJGA2ksHBzodT0JoNAABPxfB6zDU1NSbcG0VRXC5Xra67lFP8ztt6g+HXce1NeKzmuZ5b\nOXpz4oMPenCe1SWcx+PZxlKsT6sUlrKZeiEIgqZpjUaj19vIvDe2VDUEase6mbZ2NBqNg4PD41tM\nv9Bhk5h26WyapjkcTp197rpdfD6z/MyrkdawTHeQhNTr9ZfSiyI9xA2/0mbWFa+3UtjLZuqFIAg+\nn69SqWzm69KWqoYgCB6Ph9qxWuauHYYTs7lly9X//jNzg3nWWm4GksPpI3M8/qDimYkZAFiqVKm9\nllclV2k97fmRHmIH2iq+fIBFbPmM0RsMsw7cnxLt3s3P4dmvtpT+gU6rE/Lf7WbReccAwAJSS2oW\nnnp4OqMi0sNOQlN5VbUPK1RDQl3mdvNhvIMLsIgtJ+YVl/KqarUfMjc+ql69/CUz96eV1WidhbZc\n+ACtzU9XC/57JmtGF88fXgxwFv09hVGOXP3TtYK+65PeifV+q6v3MzuXABA23Cv7dqHy+4u5Pw4J\n4jM3PqpeDjS3o5f9qXQMmgKwHZ+efLjqSt7hqRHzevg+ysoEQfhI6IV92hyeErE7uWTa7ylYYg4a\nw7qSlqmodYaZB9I+7Okb6iZiOpZ69JY5ns5AYgawEd9fzD2cUnZkakTYU75wQt1ER6ZGaPWGMdvv\nVKq1Fg4PWMc2E/N/Tj10t+NP7+jJdCD1e76t5EymnNFxagBgGgdSytZcyd8xPsyjwcXdxXxq/Yhg\nbwd67PZ71bVYzAYaYoOJ+UxGxa7kkuUvBljt7ZwoD7FaZ0gpUTIdCAC0SLZcPffIg9VDA2WN6NvF\no8gfhwR62PPi96TW6tCmDU9la4m5TKl5+9CDxQP8vewb+vXKLIrk9GjjcDpTznQgANB8BgPxxoG0\nyVHuz/s3dl0ciuSsGRas0enfPZJu1tiA1WwtMb+5N7lbG8nwMBemA3mGXv6Op9H/C4DNtiQVldU0\nedwHTXE2jAq5lqf4/mKumQIDtrOpxCxXaZW1+kUD2jIdyLM931ZyKadKg+YsAHYqVWr/czpr6UBZ\nM8Z9OAq4W8eE/ngl/2gaZs6HethUYpYIuHvjO7Binh1fCe0q4l7Pt5056gBalSXnsvvJHOOaO3mR\nv5Ng9ZDAtw4+QF8TeJJNJWZ26dFGcha3mQFY6EGZauet4o96+rZkJ71lju/Eeb/8WwoGUDUgv6o2\nsaA6saA6t9JGFsJpDBZcXNqqHm0lG28UvtfduiYmA4Bn+vL0w/gO7j4SuoX7mfWcV2JB9cz99zeN\nDiGtdhgJE+4WKzfeKDxwr1Su0nrY8wmCKFRoxHxyYKDz5ChpZx97pgKbeyS9q6/99O6N7e7XPEjM\njOnRRvL2wfs1Gr2Qh3YLANa4W6z862FlwqAAk+xt2eCAwZtuLT6b/VFPP5PskO0KFLWfHM88mV4x\nOUq6ZUxoe3cxRXIIgtAbDHeKag6klEz9LSXEVfiffm3bu1t6KaB9d0uP3S//9/NmrykkZsa4iXn+\nzsLLOZW9Gj3WAgAY9/W5nFc6uDuZaK57IY/8dVRo/w1J4VLx0FAzDifJkqtv5iseVqiUGr2TkNtG\nIoj1s7e2Hjm/3yn54I+MkeGuV2fEPD6zKUEQJIcT4S6KcPebE+ez+kresC3JL8e4f9TTj09ZqKUh\ns0L13tH0dSODXURmLzRTHkCr1S5fvlyhUPj5+cXHxxs3lpSUzJ07VyqVEgQxZ84cLy8vEx6R7br5\nOZx/iMQMwBopJcrTGfKlA/1NuE9fCf3LiJCpu1P8JHS0p50J90wQRFmNdvPNwp23S3Iq1dEeYn8n\ngZhPZVWod90uufO78vm2ktc6efSRMf8VpDcYPj3xcM+dkvUjg7u3kTTwSgGXfCfOZ1S421sH7w/c\nmLRhZGgbx5beU3imWp3htd9TX+vk0aPB2EzFlIn50qVLXl5e48eP/+qrr3Jycnx8fAiCKC4uHjx4\n8Lhx40x4IJsR5+ew+ko+01EAQGOtuJw/JVpa52Ku5br5OSzs22bK7pTDUyN8W3zr2qhCpf3hUt66\nawXd20g+7eP3fFvHOheXZTXaHbeK3z2S3taRXjTAn8GVBdQ6w4x9qVly9YlXIhue2fQRXwm9Z2K7\nr8/lDNh4a/WQwN5m/m3x8fEMB5r7XjcLdQkyZWJOS0sLDw8nCEImk6WlpRkTc2FhYV5e3ooVKyIi\nInr16mV85ebNm8vLy+3s7MaPH2/CACiKoihKLLb0jYdm6xfKm7n/PsETiPlUnT/xeDwWfZAGsK5S\nGmYz9UIQBIfDEQgEfL71zpHXJBaomrxK9YF7pTffiROLTX+J9nqcf2GNfsKulOPTO7mIeCRJNrt2\n9AbD+qt5n/15v4e/05kZncOk9V+Fi8XEe70ls7r7Lz+f9eLm5A97+c/u1sZMXdAaqJ0ajS5+a5Le\nwPlzemf7JjatL3whtEtbl9d2J3/5QtArncy1yP2m63nHH8jPv9HFQfx3dbSkdp6k0WjqbDFltyOl\nUunq6koQhIuLi0KhMG4UiUQRERHjx48/ceJEUlKSCQ9nA9zE/AAX4aUsTAEGwAIrL2YND5d6O5ir\n4XR+n4BYP8lL66+X1zR/ANWdouq+P11ddTFr64TIrRMin5aVHxHyqHm9/E/9q/Om6/kTtiVWWXbs\nllqrH7c1iUMQuydHNTUrG70Y6nbklY5fnEj//MQDc6wMdCVb/v6h1C0T2ruJLfcTlmMw3UdZv359\nRERE586dd+zYIZVKe/fu/fhfT506VVpaOnr06Mc3lpSUmOroBEHQNC0QCORyNg0O/vBYhj2f+rhX\n3W5+YrG4utoWph9hY6U0wGbqhSAIJycnhULx5K91ljJ31VTX6qJWXt8/ObydOZt89QbD24ce3C1W\nHn7tOTtS26TaqdXpv7+Quzoh/62u3m8+58lr4pRk1bW6Nw8+yJKrto4J7Mu2YAAAIABJREFUdW9c\ne3Lj1Vs7Wr3h1d9TqzX6LWNC6Zb14cqWq8ftuNvFx/6bF2TGXtwmkSNXD9x469M+bcZGuD2+3dHR\nsbq62oT/d4zXtI+Y8oo5KCgoMzOTIIisrKzAwEDjxm3btiUmJho3enpa6TqMDIrzc7iQXcl0FADw\nDDtuFUe6i82alQmCIDmc5S8GdPK277nqUkpxEyYFu5BV2WfdrXMPK/94uf2cOO+mZmWCIMR86pcR\nQV19HAb/ejtLbvbZPAwG4t0jD4qqNRtHBrcwKxME4SuhD06JuFdcM+33VJXWNFMdV6i0E3bdmxjl\nXicrW4ApE3PXrl1zc3OXLl0qlUp9fX1TU1NXrFjRr1+/7du3z58/v7y8PDY21oSHsw2xvg438xWm\nOpMAwBwMBuLnawXTO3lY4Fgkh7N4gP/rsX4D1t/cllT8zDbNLLn69X1p0/akzOjiuW9SeJCLsCWH\n/rJ/2/GR0iGbbj8oUzV7P43x3zNZ1/IUW0aHPNnDpnmchdw9E9uptfrR2+605F6AUY1GP2X3vfbu\n4n+3bH635jFlU3YzoCmbIIi4tTeXDPSvM0LAZppMWVopT2Mz9UKgKbspTmXI3zvy4MqMGBM2kzbM\n0dHxxL38N/bec7fjz+vp262+SblvFyrXXs07cK9sYqR0bjdvE/YV/+FS7k9XC/ZOCm/MOtONUad2\nNlwv/OZ8jgm7oD+i0ennHEm/nqfYPi7Mr7k7V2n1k3bdE/LI9SOC6217MHdTtnWNLm+dYn0dLmZX\nNTx0DwAYtO5awbQOHhbLykZdfR3OTo9em5A/c3+aHZ/q7e8Y6CJwEvLKlJqU0pqzmfISpWZ8e7ez\nr0W1fHLQOt7q6m0wECO2JO+fHGHyUcJH08q+PJO1d1K4ybMyQRA8ivzhxcAl57IHbri1bmRwrG+T\nVxmpVGun7E4R8ch1I0J4lpq9pA4kZubF+jlsTSxiOgoAqF+2XP1XZsWyF00zB2eT8CnOm129Xu/s\ncT6r8tzDynMPK6tqdRKaCnQRftmvbfc2Ds24l9xIb8d6a/SGEVuT95k0gybkVM068GDdiKBwqbnu\n1nM4xLweviGuosm7Ut7r7jOjs2fjx4BlydVTdt0LcROteCnAYnOKPQmJmXmxvvbvHnlQq9M3Y2FX\nADC3X28UDgl1cTbRHJzNwKPIXv6Olp8icG43n1qdfsTW5P2TI7zsTdBPO7WkZspv9xYNaPu8+T/L\n8DCXEFfh9L1ppzMqvn5B1pjfFodSyt498mBaB48Pevgwu6YIMgHzvB1oNxEvscBG7lwC2JJanX5L\nUlF8jDvTgTDjo55+Q0NdR2xJzquqbeGucuTqsTvuzo71GWOpTs5hbqI/49uHuAp7/ZK09FxOlVr3\ntFeml6te/T31w2MZK4cEfdjTl/GVvpCYrUKsn8PFLAyaArA6R1LLpWJeJ2/G1hlk3ILefoNDnIdv\nSc5pwRiqvEr1iK13xka4zuxi0UGzQh75ed+2+yeH38xXRK+8PvdI+h9p5SXKvztt5cjVe++Wxu9J\n6bsuycuef256VL8A5qcNJ9CUbSW6+jocTil7G6PJAKzMhhuF8TGWGCVlzT7t3YbL4QzZkrxrXFhg\n04dj5cjVY3cmvhjibIEFE+sVLhVtGROaVlqz41bxknPZd4qUHA5Ho9MLeWSku3hwsPOSgTKp2MTz\nn7cEErNV6Opj/9nJh3qDgfEmFAB45H5pzc18xa+jQpgOhHkf9/JzFHJf2nx7w8jQrr5NaD9IKVGO\n33lvYrTX+3EM/74JchF+0svvk15+eoOhVKnlURwJzbXOb1w0ZVuFAGchn+LcLa5hOhAA+J9NiUUj\n2rnY06aZAYPtZj3ntXiAbNKue+uuFTTyLX8+KH9pU/LrnT0/689An/anITkcNzHPUWClWZnAFbOV\n4HCI53zsL2bJzTeEAACapFZn2J5UtGNcGNOBWJFhYS5tnQTT96aezpQvGuDfQFdtpUb/xemHv90p\nXT0sqK8VrPfMLrhithaxfg6XcqqYjgIA/nYwpdRHQkd7PmN1ptYmykN8Ylqktz2/x0+JX5zOKlTU\n7a2tqNWtv17w3OobGeWqM69GIis3A66YrUVXH4flF/OYjgIA/vbrjcKp0a10lFTD7GnqqwH+U2Lc\nl13I7bDqepSnXaS7WCrmy9Xae8XKyzlV0R7i5S8F9vbHbIbNhMRsLcKlIqVGl1Gu8jfR5LQA0Gz3\nS2sSC6o3jwllOhDr1c5NtGZYkFzlf/Zh5b1iZVF1rR2fGtHOtZGzeUAD6k/MxcXFbm6WXuiqlaNI\nTicvu8s5VUjMAIz79WbhqHBXOxMtfGTDJALuSyHOL4U4Mx2ITan/HnOnTp1Gjhy5f/9+m1l5hhVi\n/SSYZgSAcbU6w87bxVPQjg0Mqf+KOT09/fjx45s2bZo9e/aIESNefvnlqKgocxxeLBabcG8URVEU\nZdp9WlKvILc3fr9rjJ/H47H3gzyO7ZVSh83UC0EQHA5HIBDw+SaYA9kamLBqDiQWtHESxQVITbK3\n5iFJErVjtUxbO09eANefmCmKGjhwYNeuXbds2fLhhx+uX79eJpP98MMPcXFxJonjEdOun0rTNIfD\nYe9yueHOvOyKmvTCcnc7vs2s+8v2SqnDZuqFIAg+n69SqWymVcyEVbP64sOXo6XMVjSPx0PtWC1z\n1079Tdlbt24dNmxY+/btb9++ffDgwdLS0p9//nnq1KlmCgKM+BQn2tPuMgZNATDnbrEypaRmRJjr\ns18KYB71XzGfPHnyzTff7NOnD0X93fchJibmv//9rwUDa6WMt5mHhrowHQhAK7XhRuG4CDchD3M8\nAGPqJuYJEyYYH6xbt27dunWPtm/btm3s2LGWi6u16upr/59TD5mOAqCVUtTqdt0uPjq1PdOBQKtW\nNzG/9tprjMQBRl287VNLVXKV1ob6SQCwxvZbxR287INdm7yAEoAJ1U3Mffv2LSsrW7t27YcffshI\nQK2cPU2FugoTchXDXDBpDoBFGQzEumsF83sxszQhwCP13EeRSCSbN2/OyMiwfDRAEESsr8PFbIxm\nBrC0M5kVKq1+QKAT04FAa1dP5y+KosLDw2NiYuLi4h6NPNu1a5dlA2u9Yv0cVl3BpNkAlrYmIf+V\nDh4Uaa1rAUKrUX+v7Lfffvvtt9+2cChgFOvr8Pq+tOpaHdOBALQi90trLudUrR4axHQgAE8ZxxwX\nF+fq6mpnZ2dnZ0fT9KJFiywcVmvmIuL6OwkuZ1UwHQhAK7I6IX9chJtEgHV9gHn1n4Vz5sw5fPhw\nQUFBTEzMnTt33nzzTQuH1crF+tmffyh/zhOrWQBYQnG1ZndyyelXI5kOBIAgnnbFfOzYseTk5Dlz\n5nzzzTfXrl27ffu2hcNq5WJ9Hc5lljMdBUBrsfZqwcBAp7aO+CkMVqH+xFxRUUEQRJcuXf766y8/\nPz/00Lawbn4OCdlytc7AdCAAtq9KrdtwvWDWc15MBwLwt/qbskeOHDlkyJBNmzZ98MEHRUVFrq6Y\nNtai3O34PhLB9byqWF8HpmMBsHE/Xyvo5G0X6YE5fcBa1H/F/MMPP3z99ddubm4//fSTWCxeuXKl\nhcOCHv6O5x9iNDOAeVWqtT9eyXuvuw/TgQD8T/2JmcPhJCYmvvPOO126dAkPDw8ICLBwWPC8zPl8\nFhIzgHmtvpLfxce+o5c904EA/E/9TdmffvppQkJCZmYmh8NZuXLl5cuXFy9e/Mx9abXa5cuXKxQK\nPz+/+Pj4BjbCM/X0d3r9t2S1zkBTmO4AwCxKldq1Vwt+n9iO6UAA/qH+K+bt27fv3LnT29uboqij\nR4/u2LGjMfu6dOmSl5fXggUL8vPzc3JyGtgIz+RhT/s6Cq7mYm1mAHNZci77hSCn9u64uwzWpf4r\n5traWo1GY3ysUqmEwkattZKWlhYeHk4QhEwmS0tL8/HxedrGpKQklUrF4/FkMplJPoYRRVEcDofH\n45lwn0whSfJ5f6eLOYpeAexem9mWKoUgCJIkbeazEATB5drOfBpNrZrUEuWu28WXZnayzgrlcDit\nuXasnGlrR6/X19lS/65nzZo1YMCA8vLypUuXbtmyZebMmY3Zu1KpNPbfdnFxUSgUDWzcvHlzfn6+\nk5PTt99+27xPUi8Oh0OSpNgmVkwkSbJvsHTlhYds/zi2VCkEQZAkSVEU01GYBkmSAoHAYLCRUXlN\nqhqDgfjgj+TZPfyDPZ3NGlWztebasX6mrR2VSlVnS/2J+b333uvQocPp06d1Ot3PP//cqVOnxuxd\nJBKVlpbKZLLS0lKpVNrAxiVLlhgf/B97dx3fxPk/APy5uFTSJk3dUhfa4qVYaRk+dNhg+MY2GDLg\nO2fAlDGDMYVtDHcZbsWdATVa6l7aNKklaeO/P/L99sdKKJVL7i79vF/7Yz2Su0/uubvP3XOPVFVV\nted3PAObzeZwOLW1tTiukyh8Pr+7mHmnuLa4QmbPpvABbUuFghDi8/lKpZLoKPDh5OSkUCia6sao\nrk1FsydVWihXbp8QZBqzgYQEAoFSqeycpUN+uJeOnZ3dk3+aT8xSqTQhISEhIaFNqw4KCiooKOjZ\ns2dRUVFcXFwLC0FrOHMZwSLOzZK6FwJgHjoAcPNYoVl5vuC3MUHQshKQk/nGXz169Bg/fvzff//d\npjuC2NjY0tLSdevWicVib2/vrKysjRs3NluIU9idxUA/wZUCG3nWBIAMjEa09ETuuHDRQH8B0bEA\nYJ75J+a8vLxz585t27Zt8eLF48aNmzlzZnR09PPXxWAsWbKk6c/g4ODg4GCE0JMLQZsM8HNclVRI\ndBQA2I4NN0uLatV/jAshOhAAnsn8EzOdTh86dOiPP/64YsWKzZs3x8fHd+/e/fr161YODsR6O+TK\nG6RKG3nPBACxzuRUb7xZtmV8CJdp/tIHABmYPzp37tw5ZsyYLl26pKWlHTt2TCaTbd68ecaMGVYO\nDvCYtF5eDpegNhuADrtdUv/m0ZxfxgQFCVvV/xMAopivyk5KSlq4cGFCQkJTA/euXbt+/vnnVgwM\n/Ncgf8ekvJqXImAeEQDa70Zx3Yz9j9YN9U+UwKtlQHbmE/PmzZufXjhp0iQLBwPMSAxw+vl2ucFo\npGHQghSA9tiRXLnyfOF3IySjQ6k9XA/oJGxnZBlbFe7CY9Cw1ApVNExLB0AbldSq3z9XkFah3Dsl\nFGaqAFQBiZnsMAzF+zsm5dVAYgaglQxG451Sxa6UysMZsqlR4p9eDLRjUXiUHtDZQGKmgMQAp9/u\nlC+N8yQ6EACIZzAay+s1ZfUapUZfp9abFio1BhqzprJWWV6vyZU33itT8Ji08RGiK/OivR3ZxAYM\nQFtBYqaAQf6OC45mV6m0Ip6VRoEvrlU/eKyUKbWejqw+3g7wtAEIl1ahOvqo6kpBXXql0oiQpwPb\nnkV34Pz3CsZhYHw2i88wutqxJkSIPkn0CxZB02tAVZCYKcCRw4j1djibUzM1ysXS20qvVH12seh6\ncV2UK1/IYxbXNubKG6dGubw/0AfSM7A+g9F47JF8/Y3SkjrNiyHOb/Z2j3Gz8zL3EGxjozGDzgwS\nMzUMDXI6nSO3dGL+6VbZ19dKFvb2/Hl0oOP/nkXyqhtXJxUO2Jz814QQmLkWWFPKY+WK03l1av2S\nPp7jwoUsOowKAjoFSMzUMDTQ+fNLxWq90ULD7huMxg/OFZ7PrT7xSmSoC+/Jf5I4cf6aELLlXsWE\nXQ+3TgiN9YamrcDiDEbjhptlP9woe7uv52s93JiQkkFnAomZGnwFbB9H9qX8miGBFplp6r2zBbeK\n6469Einmm3+NPaubqxOX8cr+zKPTI5plbgDwpdToX/87p7i28eSMSHhVDDohuA+ljNGhwr8zZZZY\n8/c3SpNya/ZNCX9WVjYZEyZc0d/r5X2ZMpXOEmEAgBCSqXQvbk9n0LATM7pAVgadEyRmyhgdKjyZ\nVa3RG/Fd7Zmc6p9vl++ZEubSYlY2ea2He39fx0XHc4w4RwEAQghVKDSjd6R187D7fVwQD+aZAJ0V\nwVXZHA4Hx7UxGAwajYbvOolCp9Ob/ZAoL46XI/taiWp4CG7DCuZXNyw8lrNpfHi4e2sHEP5udFi/\nX+5sTama39urNZ+3pUJB5sqFujAMY7FYTePhE06u0k7ak5kYKFw7LKgd48/aUtEghGg0GqlKp4Og\ndFqg0zWvgyQ4MWu1eE5oiGEYnU7Hd51EYTAYT/+Q0aHCA6mPB0sccNmEVm+YvTd9bg/3BH+H1u80\nJkK/jA4auyNtsMTRR/D8M82WCgU9o1woymg06nS6py8KhGjQGsZvS+3qbvdpop9O1549bEtFg0hW\nOh0HpdMCg8HQbAnBiVmv1+O4NtPPw3edRDEajU//kHHhwsQ/UuoaNHw8uhR/eakIw9CyOM+27rEo\nV970aPHykzm7JoU998O2VCjoGeVCXQaDgQw/x2A0vnY4S8hjfDPM32BoZzw2VjRGo5EkpYMLKJ02\ngVbZVCJx4kSIeUcfyad06WiH5jsl9X/cqzg/O4pBa0//q3f6e/ffnHzskWwUfvXqHVRapz72SH6n\ntL6mUe/EoXdx5Y8PF5kdiQKQzeeXiotq1EenR9DbdTQCYGOgeQXFTI0S706p7OBKGrSGt47nrBzk\n4ytoZ97is+irE/1WJRWq8W6M1g41jbp3z+T33ZR8s7i+j7fDjBhxH2+HtEpV300P3jqWU6m0nQo0\nm3QkQ7YjuXLrhBBc6oEAsAGQmClmdKjwfrmisEbdkZV8erHIx5H9SrRrR1byYoizpwP7l9tlHVlJ\nx90vVyT8kSJVaq/Mi/5zfPDc7m6jQ4Vzurv9Nibonze70WlY/00PLuTXEhskeJZHVaplp/J+HxcM\ndRsANIHETDH2bPq4cNEf9x63ew03iuv2pkm/HxnYjoavzXyS6PfDzTICuzVfyK+duDtjSZzn7+OC\nn55ESMRjfj8i4LsRAa8dzvqzA3sMWIhSo59zKGtpnGecDz7tGQGwDZCYqee1nu47kyuVmva0O1Bp\nDYuO5a5O9PWwZ3U8kig3/uAAwbfXSjq+qnY4n1cz71DWL6ODZsS09Og/Itj5yPSIr6+W/Hy73Gqx\ngdb4z+n8AGfum708iA4EAHKBxEw94S68SFf+nlRpO767+kJhkJD7cpQYr2DeH+izM6WyqLZDVevt\nkPxYOf9I9q9jggYHPL8HdrgL78i0iB9ulu5u104DlrA7pfJ6cd36EQEdr7kBwMZAYqak+T3dfr5d\nrtU37/3Wsgt5NYczZN+NkOAYiY8je0oXl3VXrfrQXKnUTt+X+fEgn9ZkZZNAIXfnxNCPzhVczK+x\naGygNXLljR+cK/x1dJATFzqGANAcJGZKGhroLOAydrXl+U+m0r11PHfdUH9XOxwqsZ+0tK/X8Uey\nrKoGfFf7LDqD8dXDWSNCnF9psQb7aTHudhtGBsz/O6egptFCsYHW0OgN849kvdHLvZcXzFQGgBmQ\nmCkJw9B7A7y/vVbayt5KRiNadDwnUSIYHYp/t2Mxnzm7m9vaK8W4r9msdVeL1TrjJ4m+7fju8GDn\ned3dZu5/1KhrW2UDwNGXl0u4TNrSOE+iAwGApCAxU1WCROArYK+/3qo65O+ulxbXqr8Y4m+hYBb2\n9rhUUJtWobLQ+pvcKqn//Z+KX8cEsdo7Qe+yvp6udsz3z+bjGxhopSuFtduTK35+MQjGEgHgWSAx\nU9g3wyS/3CnPkD4nHZ7Klv9yp2zLhBDLTdfjxGXM7+lu6YdmhUb/xt/Znyb6tntcFIQQDcN+Hh18\nLrfmcIZF5tAELZCrtAuO5nw1VAK9lgFoASRmCgsUchf38XzzaHYLXaduFtcvOJr725ggiZNlp3aZ\n39Ptdmn9vTKF5Tax+kJhhJg/pcNNyoU8xsZRgf85nVdi9cbkndzbp/IG+gvGhpFlGFcAyAkSM7W9\nFevhJ+DOO5ylM5h52Xw+r2b6/szvRkji/VvberndHNiMN3u5f3HZUg/Nlwtq/86Ufz0Mn9r4AX6O\n06LFC47lGGBmaWvZ+qAivUL1xQt+RAcCANlBYqY2Gob9PDpQqTGM3/mwQqFpWq7WG7+6Ujz/SPYv\no4Ms0eDLrFd7uKdXKq8X1eG+5gat4e2TuZ8k+uLYpPy9AT41DbpfYNQRq3hUpVqdVPTb2CA7GBAb\ngOfBsxOhTqfbsGGDQqHw8fGZNWuWaWFVVdWyZcvEYjFCaOnSpR4eMMoPzjgM2v6pYauSCnv/+mB4\nkFOgkFuh0J7MkgcKuSdeiQwWca0WCY9JWxLn+dmlouOvROK75i8uFwU4cydFdnROrSex6NjPY4JG\nbUsbJBGEufBwXDNoplFnePVw9tI4z67udkTHAgAF4PnEfPPmTQ8Pj5UrV5aXl5eU/Le1sFQqHTFi\nxLp169atWwdZ2UJYdNrnL/hfnhcd6sKrUGiduPQ/xgUfejncmlnZZFZXt/J6zalsOY7rvF+u2JEs\n/XoYnuOimIS78Jb08VxwNKetQ7WANnn/bL67PevN3u5EBwIANeD5xJydnR0REYEQkkgk2dnZXl5e\nCKGKioqysrKNGzdGRkbGx8ebPqlUKvV6PY1Gw3Adjs+0NnzXSRQMw9r6Q3wFnCVxXhaKp5XYDOzd\nAT6fXSoeEuj8ZH+YdheKVm9YeiLv3QHePgKLNF5bGOt5Jrfmm+ul7w3wac3n21EuZGaFn7M/veps\nTs2leTF0mmVfnNlk0djML7Kl32Ji0V+EZ2JWqVQikQghJBQKFYr/ts7l8XiRkZFdu3Zdv369s7Nz\nVFQUQmjGjBmFhYVisfjEiRM4BmAiFNpIm08Ox7LtqC3k9YHOv96t+DtPNa/3/6e6dhfKZ+ey7bms\nd4ZG0Cx2Dmyf3qPHd1cmdvfr7ePUms9TtFzMcnCw7LROaY/r3zmdf3Rur2BvZ4tuyMSWigZZvnSs\nDErnWVSq5l1ecUjM586dS09Pj42N5fF4MplMIpHIZDLTS2WEUK9evUz/k5CQkJWVZUrMBw4cMC2s\nqqrqeABN2Gw2h8OprbWFyXf5fL5SqSQ6inb6aKDngqMPB3uz7Vj0jhTKoyrV2qTskzMi5TIL9jkW\nIPRRvPe0bXcvzInmPq+rN6XLpRknJyeFQqHVai20/tpG3di/Upf19QxzMOB7pptlS0WDEBIIBEql\n0nKlY2VQOi3j8f7VzAWHyqXBgwcvXry4d+/eQUFBBQUFCKGioqLAwEDTv+7atSs5Odm00N0dXjJ1\nCvH+ghh3u/U3yjqyEp3BuPh43luxniEii7fMmhHj6u/EWZlUYOkNdR56g3H+kexoN7vXe8JZD0Db\n4PnWJzY2trS0dN26dWKx2NvbOysra+PGjYMHD969e/dHH31UXV3dp08fHDcHyGxNot/v/5Rny9o/\ns8UPN8v0RuNCq7QYwjC0YWTg8UdyfJutdWarkgqlKu36kTCrIwBthhkJHWABqrKfxQZqftZeKb5Z\nXH98Vlcut82FklqhHLMj/eSMSCs8Ljc5m1v91rGcpDnRHvbP7C1tA+XSxHJV2X/883j9jdJTM7u4\nP3tP4s6WigZBVTa54V46puZZTWCAEWApS+K8yurUW++3eQQPpUb/6uGs9wf6WDMrI4ReCHCaFOky\n/4j5YdRAKx17JP/icvHOSWHWzMoA2BJIzMBS2HRs46jAD8/k5svbVqG94nR+sIg3t5ubhQJrwYfx\nPlo9+vRikfU3bRsu5tcsPp7714SQCDGM2QJAO0FiBhbU08v+tV6er+xK1rRu3miE0E+3yu6W1q8f\nQcy7SRad9sf44L1pUph7qh0uF9TOPZT98+jAOB+b6ucDgJVBYgaW9V68nx2bvvxUbms+fCJL/t31\n0m0vhThx8exh3yYe9qzNY4OXncyz6ExZtud0dvXsg1k/vRg4JLBV3cEBAM8CiRlYFoOG7ZgafbO4\n/ovLz6kfPp9X89ax3D/GB1v51fLT4nwcPh3s98r+zCKYF7J1diRXLjiW8/u4oKFBkJUB6ChIzMDi\nhHzWganh+9OqViUV6p/Rrmrbg4rXDmdvHhfc39fRyuGZNTXKZXY3t/E708vrNc//dCemNxjXXCj6\n4nLx/ilhVphdFIDOABIzsAZvR/aRaRHXiurG73qYIf3X+HOldep5h7O+vlpy8OXwQf6kyMomy/t5\njQwRjt/1sASem59BqtRO2pNxuaDm1IzIGJg5CgCcEPYmD3Q2Xo7s469EfH21ZOS2tChXfndPe73B\n+FCqulFUNz3G9dK8aAGHdEfj6gRfFp324o70XRNDQ2FqyH87k1O95ETuyBDnTwf7s+kwjAgAuCHd\npRDYMBad9v5AnwW9Pc7kVKdVqlh02tgw4S+jg5yJa+r1XB8M9HbhM0ZtT/9+RMCoEGvMxEB+MpXu\no/MFF/Nrvh0uGRYE+wQAnJH3gghslSOHMTHSZSLRYbTeaz3cQ4TcN47mnMmRfzM6gkl0PATSGYx/\n3a9Ye6V4aJDz1XnRzrzOvDMAsBR4xwzA8w30F1yZF9OoM0Z+e+3XO+VKjZ7oiKzNaETHH8kHbE7e\nnSrd/lLoDyMDICsDYCHwxAxAqwh5jN/GBCVXadeczf76asn4CNHoUGFPTzsW3fbvbs/n1ay9XCxT\nad8b6DMhXATzUgBgUZCYAWiDOF/BganhD6WqPanSpSdyKxSaSFd+uJjn68hxtWO68JnOXKaAy3Di\nMOzZdKKDxUFSXs26qyXl9ZolfTxfjnbpDHchABAOEjMAbRbuwlud4Ls6wbe0Tv2gXJkla8iWNVwr\nqpUqtdUNuppGfZ1ax6LTXO2Y3o7sAGdOhJjfw9O+iyuPRp2HzQv5tV9dKS6v1yzu4zEtWgwpGQCr\nITgxMxh4BkCn0zEMw3edRLGZH0Kj0Wzmt6CnysXXmeHrzH/6YzqDUd6gK6tTF9U05sobbhTXf3e9\nVKM3DA1yHh8hTpAI6DRSZGg6nf70xK/Xi2o/SSooqmlc1t9neowIRdQoAAAgAElEQVQrVVKyLR1m\nCCEMw8yWDkVB6bTAYDA0W0LwnqLT8azuwzAM93UShUaj2cwPMR3ERAeCj1aWC52O3JkMdwdOd6//\nHzIlvUJxNKPqvdO5ar3hjd5es3t42LGI3C0YhjX7ORmVypVn8/4pq1ve33dODw8Ogxop2cRmThmT\np0uH0mzptyC8S+fpBI8Re0dWVVWF49rYbDaHw6mtrcVxnUSxmXnFbalQEB7lYjSiywU1G2+VpzxW\nLO3rNaebG4ug0TmcnJwUCoVpsvfqBt3aK8V706Sv9nB7K9aT2DuG9rGZU8ZEIBAolUpT6dgAKJ2W\niUSiJ/+0nboFACgBw9BAf8FAf8HtkvpVSYV//vP4iyH+CRLCRpk2GtHOlMo1Fwrj/QVX5kV7OrCJ\nigQAYAKJGQBi9PKyP/5K5P506cJjOQP8HD9/wd/6I6BlSpWLj2ZVN+r+GB/SFyZRBoAcqPQOCQAb\ng2FoYqTLtVdjmHRav00PTmXLrbZprd7w2bmcF/54EO8vuDAnCrIyAOQBT8wAEMyJy/hhZMCpbPnb\nJ/PO5FR/Otifx7TsHfNDqWrh0Rwem3l2TkyAgGXRbQEA2gqemAEghWFBzpfnRVcotAl/JD8oV1ho\nK1q94ZtrJaO2pU2IEF1+s0+oi5m+XgAAYsETMwBkIeIxt78UuuX+4wm7Mhb18Xgr1gPfAUkeSlVv\nHcth0WmnZ3YJEnJJ0pcaANAMPDEDQCIYhmZ3czs5I/JwRtXo7emFNWpcVqvRG7+8XDxqW9q4MNGx\n6RFBQi4uqwUAWAIkZgBIJ1jEPT2zSx8fx4Q/UjbdfWzo2GADlwtqB/6efKO47uysqIWxHvCgDADJ\nQVU2AGTEotM+GOg9Mthp8fHcvWnStUP8u3nYtXUl+dWNn1wovFFcv3KQ75QuLtQZqBuATg2emAEg\nrxh3u/Nzol6KEE3ekzH3UFaGVNXKLxbUNL59MjfhjxRvAefm/JipUZCVAaAMeGIGgNQYNGx+T/dJ\nkS4/3iobtS29m4fdlC4uLwQKHNhmTl6FRn8mp3pvqvRmSf3UKPGVedFejjCSFwAUA4kZAApw4jI+\njPdZ3MdzX5r093uPFx3P7eLKDxdz3exYHAZNazAW16ozpKq0ClW0O39smPCXMUECDpzdAFASnLoA\nUIY9mz6nu9uc7m7yBt3tkrrMqgapQluh07LoWKAzd3iQc09PO2cek+gwAQAdAokZAOpx5jKGBTkP\nCyI6DgCABeDf+OvTTz9tbGxs+lOn03377bdr1qzZsmUL7tsCAAAAbAyeiVmhUKxYseL27dtPLrx5\n86aHh8fKlSvLy8tLSkpw3BwAAABge/BMzHZ2dmvXro2KinpyYXZ2tkQiQQhJJJLs7GwcNwcAAADY\nHpzfMdNoNOzf/SVVKpVIJEIICYVCheK/Q/P/5z//KS8vd3Jy+vbbb3HcOoZhNBpNICBsznkc0Wg0\nJtMWWvHYUqEgGyoXhBCNRrOzszN2bFgx8rClokEI0el0KB3Swrd0nnz5a4JDYj537lx6enpsbGzv\n3r2f/lcejyeTySQSiUwmE4vFpoXTp09vbGxkMplKpbLjATRhMpksFgvfdRKFw+E8XVpUZEuFgmyo\nXBBCdnZ2jY2NOp2O6EDwYUtFg6B0yA3f0jEYDM2W4JCYBw8ePHjw4Gf9a1BQUEFBQc+ePYuKiuLi\n4kwLm6q7q6qqOh5AExqNZjQatVotjuskCovFso0fYkuFgmyoXEx0Op3N/BwbKxqj0QilQ1qWLh0L\ndpfKyso6c+bM66+/vnHjxnXr1onFYm9v72afMdVy4+XKlSvnzp1bvXo1juskEJdrC1MAXbt27fTp\n02vWrCE6ENzYRrkghBYtWjR//vyIiAiiA8GNzRQNgtIhtyVLlsydO7dLly4WWj/+ifmTTz4x/U9w\ncHBwcDBCaMmSJbhvxayGhgaZTGadbYFWUqlU+NaLALxUVFSo1fhMKwlwV1lZCaVDWpYuHZuaxILL\n5QqFQqKjAP/C4/HwrRcBeHF1dWWzYSRtkhKLxVA6pGXp0sFsptUfAAAAYANs6okZAAAAoDr6qlWr\niI7BjPr6+jVr1iQmJlpi5Tqd7vvvvz979mx+fn5MTIxp4aefftqrVy8GAwYPb4OVK1fev3+/T58+\nLXzm8OHDBQUFOTk5lZWVptZ/sP+tw+xJdOrUqaaCeBIUiiWkpqb+8MMPSUlJly9f9vf3b01v/q1b\nt/L5fGdn59asH0qtg0ibaGz8ibmhoeHphc1GCTU7kih4rvr6epVKlZOT00JnvoaGhrFjxw4bNuzJ\nhbD/SQgKBXcVFRV//fXXO++88+mnn77xxhvfffdds468ycnJBw4caMeamy5rUGokgXuiIfVdlVwu\n/+WXXxBCbDZ76dKl58+fz8vLYzKZFRUVy5cvP3XqlLu7e48ePXbt2hUTE+Pq6trsw/fu3TP1ap83\nb55QKPzoo4/ee+89Ho+XnZ1t6oRgGiV00KBBa9euXblyJcG/lmpu3boVGxv7+PHjlJSUbt26bd26\ntbGxEcOw6urqRYsWXblyxbT/w8PDORzOk1+E/W9NR48effI0MS1cu3YtnBSWdv78+QkTJtjb2yOE\nXF1d+/Tpc/PmzZiYmI0bNyKEAgICysrKysrKIiIi9u3bh2GYnZ3dokWLEEKHDx/WaDQ6nW758uVG\no/G7777TarVCoXDhwoVNl7XFixcjOJVwQsJEQ+onZrlcPn78+Pfff99gMEilUoQQm82eM2eOn5/f\nw4cPn/thgUCwePHi3r1737lzp7q6msvl8ng8ZG6U0KdHEgXPde3atdjY2J49e16/ft20xMXF5dVX\nXw0LCzt37hz63/5/+ouw/wkHJ4UVVFRUeHh4NP3p5eVVUVFx8ODBoUOHfvjhh42Njf3794+Li/vn\nn38GDBjw4Ycf8vn8u3fvIoR8fX3ff//98PDw8+fPHz9+fODAgatXr/bw8Lhy5Qr692kFpYYLEiYa\n0iXmlJQU9L8hygQCwdmzZ3/++eeioiJT63HTfBhcLlev1zd95VkfNvWi7tGjx717927cuNG3b1/T\n502jhCKEZDKZnZ2dlX+gbVAqlWlpaTt27Dh9+vStW7dMRdA0W8njx4/R//b/02D/W9qTJ1GTJ/+E\nk8IKhEKh6cJtUllZKRQKS0tLAwMDEUKzZ8829bcpKysznSkhISFlZWXofydOWFhYZWVleXn5tWvX\nNm7c+PjxYz6fj/59WkGptRvJEw3pEvOWLVuqq6vLysr4fP6RI0fi4+PfeOMNJycn0y548naDRqOZ\nbkMyMzMRQk9/2PSC3c7OTqfTXbt2rWkob9MooQihoqIi00kC2urWrVtjx4595513Vq5cGRkZabqv\nzMrKQghlZmaaHhSe1cAB9r+lPXkSNTtNTOCksIL4+PgDBw6Y3j7KZLJLly717t3b1dU1Ly8PIbRl\nyxaFQmE0Gl1dXXNychBC2dnZbm5upv9BCGVkZHh6enp4eHTv3n3hwoXdunV7+rSCUms3kica0rXK\n5vP5mzZtun///rRp0zw8PI4cOXL37l2BQFBZWcnj8RgMhq+vb25urqura3Bw8I4dO27duuXk5BQa\nGurm5mb2wwih+vr62tra+Ph40yY8PDzOnz9/5coVsVg8YMAA08ILFy4MGDAAmjK20o4dO0aNGtXU\nyvTevXsMBqOwsPDatWuVlZXTpk0rKioy7f+8vDwGg6HVatlstqkxMOx/S3vyJGp2msjlclNBwElh\naY6Ojo6Ojr/99tuVK1du3749b948d3d3X1/fnTt3Xrx40cHBoUePHvv37x85cuSJEyeuX79uMBjG\njx+fl5dXXl6elJQkl8tffvnlgICAPXv2XL16VaFQDBo0yHQ2mS5rCEqtA0ieaDrFACOHDh0Si8VN\nNQzAErZu3RoXFwe37VQBJwUA+MLxnCJdVTbuLly4kJaWFhsbS3QgAJAFnBQA4Avfc6pTPDEDAAAA\nVGH7T8wAAAAAhUBiBgAAAEgEEjMAAABAIpCYAaAMtVqNYZi7u7ubm5unp+e8efNMPSw7bvbs2S+9\n9BIuqwIAdBA0/gKAMtRqNYfDMZ2zDQ0Ny5cvr6io2L9/fwdXq1KpgoODS0pK8IgR6fX62traVs6P\nBAB4GjwxA0BJXC7322+/vXLlSmlpqdFofOuttzw9PSMiIpYsWWI0GufNm7dz506EkF6v9/X1fXJs\nSITQqlWrAgMDg4KC1qxZgxBauHChTCabM2dO0wfMfv2bb76RSCShoaGmUYme3ui1a9cmT54cHR39\n22+/WXFPAGBzjAAAijDNG/jkkvj4+PPnz6empg4dOlSj0Wg0mqCgoMzMzDNnzowePdpoNJ46dWrc\nuHFPfuX48eOxsbFKpVKpVPbq1evUqVMKhcLPz+/Jzzz99fPnz/fo0UMmk9XV1Q0fPnz79u1Pb/Tq\n1auOjo65ubkW3xEA2DQYtg0AasMwLDIyctu2bWfPnr19+/bjx48bGxsTEhLmzp1bW1u7bdu2WbNm\nPfn5ixcvzpw50zQBzvTp0y9evNivX79m63z66xcvXqyurp48eTJCqLS09M6dO9OmTWu2UYRQXFyc\naQIAAEC7QVU2AFSl0WgePnwYHBx848aN+Pj4jIyMkSNHdu3aFSFEp9NHjRq1Y8eOa9euDR8+/Mlv\nGY3GpjH6MQx7cv6cJk9/ncfjzZ8//+zZs2fPnk1NTf3666+f3ihCyDQDEgCgIyAxA0BJGo1mxYoV\n/fr18/T0PHfu3Isvvrhs2TJXV9eMjAytVosQmjJlyrvvvjtu3Dgmk/nkFwcOHLh9+/bGxsaGhobt\n27c3jbnfTLOvJyYm7ty5s76+XqvVDhky5MiRI2Y3CgDoOEjMAFCMt7e3l5eXRCKpr6/fsmULQujl\nl1++f/9+9+7d33777QULFpgaZ/Xr149Op8+cObPZ10eNGhUfHx8dHR0dHT1s2LARI0aY3Uqzr/fs\n2XPmzJk9e/YMDAzs1q3bhAkTzG4UANBx0F0KANt0//79efPm/fPPP4R8HQDQbvDEDIAN2rt378SJ\nE3/44QdCvg4A6Ah4YgYAAABIBJ6YAQAAABKBxAwAAACQCCRmAAAAgEQgMQMAAAAkAokZAAAAIBFI\nzAAAAACJQGIGAAAASAQSMwAAAEAikJgBAAAAEoHEDAAAAJAIg+gA/kWpVBIdAmIymXq93mAwEB1I\nm9FoNKPRSMUxVul0OkLI7MTAJIdhGIZhFD1a6HQ6RedqpNPpVDxaEEIsFkuj0RAdRXtQd58zGAyD\nwUDyk7TZRObkSswNDQ1Eh4DYbHZDQwMVL1gcDkej0ZD8+DPLdFCSofTbik6nM5nMxsZGogNpMyaT\nyefzqbjPEUKUjry+vp6iJylF97mDg4NOp1Or1UQH0pJmiRmqsgEAAAASgcQMAAAAkAgkZgAAAIBE\nIDEDAAAAJAKJGQAAACARSMwAAAAAiZCruxQA7ZZX3bgvTZpWoapSaauUWi9HdqiIG+NuNzpUyGXC\nDSgAgDIgMQPKu5Bfu+5qcUalalSocGSIs4jHFPIYxbXqh5Wq7ckVH50vmB7t+moPN3d7FtGRAgDA\n80FiBhQmV2lXJhWez635MN5nfLjoySfjru52o0OFCHmnVah+vVvef3Pyx4N8pke7YhiB8QIAwPNB\nFR+gqgflin6bkw1GdO21mGnR4mfVV0e68n4YGbBrUujGm2VT92ZUKqk3phsAoFOBxAwo6Uph7cTd\nGSsH+f70YqAz9/kVPz097S/OjfZ0YI/YmppXTb0RNAEAnQckZkA9xx/JZx3I2jAyYEoXl9Z/i8uk\nfTNcMj1aPHJr2oNyheXCAwCAjoDEDCjmdkn9ouO5f00IHh7s3I6vL4nzWjnI96XdGf+U1eMeGwAA\ndBwkZkAlxbXqWQcffTnEr5+vY7tXMjXKZe0Q/2n7MrNllJwtBwBg2/Bsla3T6TZs2KBQKHx8fGbN\nmvXkP3366afLly/ncDgtfAaAlik0+mn7Ml+JEU+MbEMNtlkTIkTl9ZqXdj08MSPS04GNS3gAAIAL\nPJ+Yb9686eHhsXLlyvLy8pKSEtNChUKxYsWK27dvt/AZAFpj2cm8AGfOu/19cFnbwliP0aHC6fsz\nG7TUmxwXAGDD8Hxizs7OjoiIQAhJJJLs7GwvLy+EkJ2d3dq1a1euXNnCZ/Ly8tRqNZPJFIlEOMbT\nPhiG0el0o9FIdCBtRqPRGAwGFedgp9FoRqORwWjpaDyaWXWjuO76692ZTNwO2s+GBkzelf72qbxN\n40LbtwYajWba7XiFZDV0Oh3DMCpGjv53qBMdRTvR6XQajXrvEKm7z02XdDIH//RFG89YVSqVKbMK\nhUKF4v9bvdJoNOx/wzqY/cyqVatKSkpEItGePXtwjKd9MAzj8/lER9G5mA4PNvuZVcpldY1LT+Ru\nmxrj6yrEd9N7ZvXq+f2VXek1r8f5tnslXC4Xx5CsBsMwR8f2v6onFotF1XHcHBwciA6hnSi6z003\noGQ+SRsamjd2wTMx83g8mUwmkUhkMplYLG79Z7Zu3Wr6n6qqKhzjaR+BQKBUKrVa6g1DweFwNBoN\nFZ+YTXdCSqXS7L8ajWjm3oxxoc49XegymQz3rf82OnD8zoeBDqiru11bv0un05lMZmMj9TpGM5lM\nPp9fU1NDdCDtwefzn3W0kJxIJKqurqboSUrRfe7g4KBWq9VqNdGBtITH4z35J541KkFBQQUFBQih\noqKiwMDAdn8GgCftTZMW1DR+nND+J9qWRbvxP4r3ef1ItgpeNgMASADPxBwbG1taWrpu3TqxWOzt\n7Z2VlbVx48aWP4Pj1oFNUmj0n14s+uwFfw7Dgq/lZnVzDRRyVyUVWm4TAADQShipWjlBVXZH2GRV\n9qqkwlx547aXQiwdQ5VKO2Bz8oaRgYMDBK3/FlRlE4K61aoikUgul1P0JKXoPqdEVXazhs/UaxwI\nOo8cWcNf9ys+GWypSuwniXjMr4ZKlp7IrW7QWWFzAADwLJCYAXl9cK7g1R5ufgKOdTY3KsS5n6/D\nx0kF1tkcAACYBYkZkNTVwtq0CuWSOC9rbvTTwf6ns6uvFtZac6MAAPAkSMyApL66UrK0rxfvGbMs\nW4iQx1id6LfsZJ5aT6K2FwCATgUSMyCjs7nVxXXqGTGu1t/0lC4u3gLOt9eKrb9pAABAkJgBCRmN\n6ItLxcv7erHoGCEBrBvqv+nuY5h7CgBACEjMgHSOPpKptPrJXTo6hVS7+TtxXuvh/v7ZAqICAAB0\nZpCYAbkYjejrqyXL+noxaMQ8Lpss7uOZK2849khOYAwAgM4JEjMglzM51UqNflw4wfOMcZm0NYm+\nH54rgHE6AQBWBokZkMsPN0vf7O1B7OOyyagQYbCIu/4GzBoOALAqSMyARG6V1OfKG6dFm5+azPo+\nG+z3253HxbWkHswPAGBjIDEDEll/vXR+L3eLzlfRJkFC7pQuLp9cLCI6EABAJ0KWKyAAGVLVrZL6\n2V0J6LvcghX9vC7m19wpqSc6EABAZwGJGZDFr3fKp8eIHTkMogP5F2cec1lfr4/OF5JpGjYAgC2D\nxAxIQabSHs6QzevuRnQgZszp5lrTqD3wkPg5SQEAnQEkZkAKm2+XDPIXeDuyiQ7EDCadtnKQ7ycX\nCht10HUKAGBxkJgB8XQG4+bbJa/1JOPjssmIYGeJM3fz3cdEBwIAsH2QmAHxDqVVOHIYfbwdiA6k\nJR/F+6y/USpXaYkOBABg4yAxA+L9eKN4UV9foqN4jm4edgP9Hb+9Xkp0IAAAG0euFrBsNvGvGGk0\nGpPJpNGod8vCYDAwDDMYKPYe9EG5Ik/eMLWbJ6Yn+8PomiGBcT/fXRDn6+fEMS2h0Wh0Op0Mx21b\nmY4WKkaOEKLoPjdhsVhGCjbxp+4+N13SiY6iJTqdrtkSciVmvV5PdAjIaDQaDAYyRNJWDAZDr9dT\nLjFvvl0yo7sHi4YaNWTf5z4OrFdi3Nacz900LtS0xGg0YhhGxaMFwzBEjjOuHSh6hpro9XoqJmbq\n7nPyX9KfPh7IlZifvnGwPqPRqNfryRBJWzEYDJ1OR63EXKfWHUiXXn+zt9FopMQ+Xxrn0euX+/+U\n1Ea78RFCdDqdRqNRIvJmMAyjyj5/GnUjRwhR8e4ZUXmfU/GSTr0KW2BL9qZKe3raB4l4RAfSWs5c\nxoLeHh+fLyA6EACAzYLEDIi09UHlTJKNwflcb/Ryz69uvJBXQ3QgAADbBIkZEOZ2Sb28QTc0UEB0\nIG3DYdCW9/P65GKRgYJvCgEA5AeJGRBmy/2KadEuTDr1DsKpUWK13nDwoYzoQAAANoh610RgG2ob\ndccfyaZHU6we24RBwz4Y6PPFpSI1DNIJAMAbJGZAjAPpVb297Mk5OHZrjAh2drNn/fFPOdGBAABs\nDSRmQIwdKZXTYyj5uNxkdYLvd9dL6tRU6oYBACA/SMyAAGkVqpI6zbAgZ6ID6ZAenvY9PR2+v1pE\ndCAAAJsCiRkQYEdK5UvhIhYdIzqQjlqV6PfzzZLSOjXRgQAAbAckZmBtar3xQLr05Wgx0YHgIEjI\nnRAp/vpqCdGBAABsByRmYG3HH8n8BJwIMWVG+2rZBwn+RzJlj6pURAcCALARkJiBte1KkU6NciE6\nCty427PndXf75CK8aQYA4AMSM7Cq0jr1rZK6ceEiogPB01uxnndL628U1xEdCADAFkBiBla1N61q\naKCTgEOuac06yJ5NX9HP+4OzBTBIJwCg4yAxA6valyadEmULzb6amdnVVaM3HoJBOgEAHQaJGVjP\n7ZL6erU+3s+R6EDwx6BhHwz0XnOhsEELg3QCADoEEjOwnt2plZO6uNBplO++bNbwYOdAIXfTXRik\nEwDQIZCYgZU06gxHMuSTIm2q2VczH8X7/HCzrEqlJToQAACFQWIGVnIiSx4o5ISIbKT7slkx7nZD\nAp2+vFxMdCAAAArDs3GsTqfbsGGDQqHw8fGZNWuW2YVVVVXLli0Ti8UIoaVLl3p4eOAYACCzvanS\nSZG20335WT6M9+m76cGc7m7hLrZ8CwIAsBw8n5hv3rzp4eGxcuXK8vLykpISswulUumIESPWrVu3\nbt06yMqdh1SpvV5sa92XzXK3Z73Ry+ODswVEBwIAoCo8n5izs7MjIiIQQhKJJDs728vL6+mFGIaV\nlZVt3LgxMjIyPj7e9EWlUqnX62k0GoaRolkQhmEkiaRNsP8hOhAz9qdXDfIXCHnMFj5DzshbZnaf\nL+rjuSul8lR29fBg8k6fZYqZivscUfYMbULF4Km7z8l8YXwWPBOzSqUSiUQIIaFQqFAozC50dXWN\njIzs2rXr+vXrnZ2do6KiEEIzZswoLCwUi8UnTpzAMZ52c3BwIDqEduLz+USHYN7BzLSPXggWCoUt\nfIbL5VotHnw9vdu/HBXx8elHE3sGsBmkbsbRcomQGYfDITqEdnJ2Ju/tWsuou8+ZTKadnR3RUTyT\nStV8pH08EzOPx5PJZBKJRCaTmd4iP72wV69epuUJCQlZWVmmxHzgwAHTwqqqKhzjaR+BQKBUKrVa\n6jWs5XA4Go3GYCBdP9pMqapQrooVM55VvqbEplQqrRsXDuh0OpPJbGxsbLZ8iA/7Jx79k5OpS/p4\nEhLYczGZTD6fX1NTQ3Qg7cHn86l4tCCERCKRXC4n4Un6XNTd5w4ODmq1Wq0m9dysPN6/mqTgeTsf\nFBRUUFCAECoqKgoMDDS7cNeuXcnJyaY/3d3dcdw6IK3dqdJxNjH7cpt8OcR/w43S4lpSXw4AACRk\nPjFLpdJ2rCs2Nra0tHTdunVisdjb2zsrK2vjxo3NFg4ePHj37t0fffRRdXV1nz59OhY8oAC9wXgg\nveqlTtDsq5lQF97kSJdVSYVEBwIAoBjMaG7YfV9f3+7du8+aNWv48OFMZksNdvAFVdkdQc6q7At5\nNe+eyb85v2sLbS9sryrbpLZRF/vrg1/HBA0g3yikUJVNCKjKtj5KVGWbWmI1Mf/EnJeXN3/+/L17\n9wYHB7/99tumymcA2mFfetXESBdKtYjEjSOH8XGC7ztn8jV6mHUKANBa5hMznU4fOnTojz/+uGLF\nis2bN8fHx3fv3v369etWDg5QnUprOJkln9gJxhV5lsmRLu52rA03SokOBABAGeYT886dO8eMGdOl\nS5e0tLRjx47JZLLNmzfPmDHDysEBqjuaKYsQ83wFbKIDIQyGoXXDJD/dLsuWNRAdCwCAGsx3l0pK\nSlq4cGFCQgKdTjct6dq16+eff27FwIAt2JdeNalL531cNglw5szt5rb8VN7hlyM6Z5U+AKBNmjf+\nmjp1qtnP7dq1ywrRQOOvjiBb46/yek3vX++nLOwu4Dynu7ytNv5q0qgz9N+UvKyv55QosXUCey5o\n/EUIaPxlfVRs/NX8ijlv3jwrBgNs2f50aaJE8Nys3BlwGLT1IwNmHng00F/gbs8iOhwAAKk1v2gm\nJiYihBQKRVJSUkMDvBUD7bcvreq9Ad5ER0EWcT4OY8OF758t+HN8MNGxAABIzfzTzMyZMysqKrp2\n7dq0ZPLkydYKCdiC1ArlY4UmMUBAdCAksjLed8DvyX9nykaHUnWEagCAFZhPzOnp6RkZGdSajgOQ\nyr406fhwEYtO6ikcrMyeTf96mGTh0Zw4HwdRixNtAQA6M/PXzZiYmMJCGEoQtJPOYDyQXjWpE3df\nfpZEiWB4sNPSE3lEBwIAIK/mT8wTJ05ECNXU1AQGBvbp08fNzc20fN++fdYODVDWpYJaOxa9qzt5\n51kj0KeD/Qf9nrwjuXJaNFlaaAMASKV5Yl6yZInpf1atWmXtWICt2JsqnRIlhjchZvGYtI0vBk7Z\nkxnn4+DvRNUJbgEAltM8Mfft2xchtGDBgh9//LFp4axZs0zLAXiuerX+VLb8w3gfogMhr56e9nO6\nuy04mvP39AgGDe5fAAD/0jwxh4WFIYSKioqSkpJMS3Q6nYTYXocAACAASURBVEAAbWtBax1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L+MCXrj75z0SuIHw+g4SMzg+X68VTYi2NnfiaqtpgFCaGqUy/6pYV9dKf7P6XyNLY5Oda2o7oNz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\nJ8GMEDpY3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},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%%R -w 9 -h 9 -u in\n",
"m <- prophet(weekly.seasonality=FALSE)\n",
"m <- add_seasonality(m, name='monthly', period=30.5, fourier.order=5)\n",
"m <- fit.prophet(m, df)\n",
"forecast <- predict(m, future)\n",
"prophet_plot_components(m, forecast)"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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zw/7nuiPO1xlTVhzA35btR6NKI/VYd0wURbz5ywk8v+Yo+kV54fMHkhDryxOX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WD+HvxdbAlsYlp/PMjMobhtf153+OuR83QNdjdyNEII8feOX7jI4gO5jEkIIDFEP+etOH8X5oxo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\n",
"text/plain": [
"<Figure size 648x648 with 3 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"m = Prophet(weekly_seasonality=False)\n",
"m.add_seasonality(name='monthly', period=30.5, fourier_order=5)\n",
"forecast = m.fit(df).predict(future)\n",
"m.plot_components(forecast);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Prior scale for holidays and seasonality\n",
"If you find that the holidays are overfitting, you can adjust their prior scale to smooth them using the parameter `holidays_prior_scale`. By default this parameter is 10, which provides very little regularization. Reducing this parameter dampens holiday effects:"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"output_hidden": true
},
"outputs": [
{
"data": {
"text/plain": [
"Initial log joint probability = -19.4685\n",
"Optimization terminated normally: \n",
" Convergence detected: relative gradient magnitude is below tolerance\n",
" ds playoff superbowl\n",
"17 2014-02-02 1.216714 0.9343464\n",
"18 2014-02-03 1.858898 0.9939908\n",
"19 2015-01-11 1.216714 0.0000000\n",
"20 2015-01-12 1.858898 0.0000000\n",
"21 2016-01-17 1.216714 0.0000000\n",
"22 2016-01-18 1.858898 0.0000000\n",
"23 2016-01-24 1.216714 0.0000000\n",
"24 2016-01-25 1.858898 0.0000000\n",
"25 2016-02-07 1.216714 0.9343464\n",
"26 2016-02-08 1.858898 0.9939908\n"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%%R\n",
"m <- prophet(df, holidays = holidays, holidays.prior.scale = 0.05)\n",
"forecast <- predict(m, future)\n",
"forecast %>% \n",
" select(ds, playoff, superbowl) %>% \n",
" filter(abs(playoff + superbowl) > 0) %>%\n",
" tail(10)"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>ds</th>\n",
" <th>playoff</th>\n",
" <th>superbowl</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>2190</th>\n",
" <td>2014-02-02</td>\n",
" <td>1.205344</td>\n",
" <td>0.963327</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2191</th>\n",
" <td>2014-02-03</td>\n",
" <td>1.851992</td>\n",
" <td>0.991010</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2532</th>\n",
" <td>2015-01-11</td>\n",
" <td>1.205344</td>\n",
" <td>0.000000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2533</th>\n",
" <td>2015-01-12</td>\n",
" <td>1.851992</td>\n",
" <td>0.000000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2901</th>\n",
" <td>2016-01-17</td>\n",
" <td>1.205344</td>\n",
" <td>0.000000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2902</th>\n",
" <td>2016-01-18</td>\n",
" <td>1.851992</td>\n",
" <td>0.000000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2908</th>\n",
" <td>2016-01-24</td>\n",
" <td>1.205344</td>\n",
" <td>0.000000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2909</th>\n",
" <td>2016-01-25</td>\n",
" <td>1.851992</td>\n",
" <td>0.000000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2922</th>\n",
" <td>2016-02-07</td>\n",
" <td>1.205344</td>\n",
" <td>0.963327</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2923</th>\n",
" <td>2016-02-08</td>\n",
" <td>1.851992</td>\n",
" <td>0.991010</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" ds playoff superbowl\n",
"2190 2014-02-02 1.205344 0.963327\n",
"2191 2014-02-03 1.851992 0.991010\n",
"2532 2015-01-11 1.205344 0.000000\n",
"2533 2015-01-12 1.851992 0.000000\n",
"2901 2016-01-17 1.205344 0.000000\n",
"2902 2016-01-18 1.851992 0.000000\n",
"2908 2016-01-24 1.205344 0.000000\n",
"2909 2016-01-25 1.851992 0.000000\n",
"2922 2016-02-07 1.205344 0.963327\n",
"2923 2016-02-08 1.851992 0.991010"
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"m = Prophet(holidays=holidays, holidays_prior_scale=0.05).fit(df)\n",
"forecast = m.predict(future)\n",
"forecast[(forecast['playoff'] + forecast['superbowl']).abs() > 0][\n",
" ['ds', 'playoff', 'superbowl']][-10:]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The magnitude of the holiday effect has been reduced compared to before, especially for superbowls, which had the fewest observations. There is a parameter `seasonality_prior_scale` which similarly adjusts the extent to which the seasonality model will fit the data.\n",
"\n",
"Prior scales can be set separately for individual holidays by including a column `prior_scale` in the holidays dataframe. Prior scales for individual seasonalities can be passed as an argument to `add_seasonality`. For instance, the prior scale for just weekly seasonality can be set using:"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"m = Prophet()\n",
"m.add_seasonality(\n",
" name='weekly', period=7, fourier_order=3, prior_scale=0.1);"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"%%R\n",
"m <- prophet()\n",
"m <- add_seasonality(\n",
" m, name='weekly', period=7, fourier.order=3, prior.scale=0.1)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Additional regressors\n",
"Additional regressors can be added to the linear part of the model using the `add_regressor` method or function. A column with the regressor value will need to be present in both the fitting and prediction dataframes. For example, we can add an additional effect on Sundays during the NFL season. On the components plot, this effect will show up in the 'extra_regressors' plot:"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"output_hidden": true
},
"outputs": [
{
"data": {
"text/plain": [
"Initial log joint probability = -19.4685\n",
"Optimization terminated normally: \n",
" Convergence detected: relative gradient magnitude is below tolerance\n"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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8XbBgweDBg+/evbts2bItW7bMnz/fKgejaVs9w0OSJEmSLdn/3G5+3QNdZ+2+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\n/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x8OBAKXXHLJyJEjd+/ePWrUqIcfftjj8ezatQsA+vXr94c//OHcc89du3btJ5988otf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\n"
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%%R -w 9 -h 12 -u in\n",
"nfl_sunday <- function(ds) {\n",
" dates <- as.Date(ds)\n",
" month <- as.numeric(format(dates, '%m'))\n",
" as.numeric((weekdays(dates) == \"Sunday\") & (month > 8 | month < 2))\n",
"}\n",
"df$nfl_sunday <- nfl_sunday(df$ds)\n",
"\n",
"m <- prophet()\n",
"m <- add_regressor(m, 'nfl_sunday')\n",
"m <- fit.prophet(m, df)\n",
"\n",
"future$nfl_sunday <- nfl_sunday(future$ds)\n",
"\n",
"forecast <- predict(m, future)\n",
"prophet_plot_components(m, forecast)"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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wZEkG/Byt8c3oaAwM9xS7JCIiUQS42GDpw3E4/VpvPN7RD1tPlSJ+7g4MSE7H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\nSUVORK5CYII=\n",
"text/plain": [
"<Figure size 648x864 with 4 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"def nfl_sunday(ds):\n",
" date = pd.to_datetime(ds)\n",
" if date.weekday() == 6 and (date.month > 8 or date.month < 2):\n",
" return 1\n",
" else:\n",
" return 0\n",
"df['nfl_sunday'] = df['ds'].apply(nfl_sunday)\n",
"\n",
"m = Prophet()\n",
"m.add_regressor('nfl_sunday')\n",
"m.fit(df)\n",
"\n",
"future['nfl_sunday'] = future['ds'].apply(nfl_sunday)\n",
"\n",
"forecast = m.predict(future)\n",
"m.plot_components(forecast);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"NFL Sundays could also have been handled using the \"holidays\" interface described above, by creating a list of past and future NFL Sundays. The `add_regressor` function provides a more general interface for defining extra linear regressors, and in particular does not require that the regressor be a binary indicator. Another time series could be used as a regressor, although its future values would have to be known. The regressor cannot be constant in the training data; fitting will exit with an error if it is.\n",
"\n",
"The `add_regressor` function has optional arguments for specifying the prior scale (holiday prior scale is used by default) and whether or not the regressor is standardized - see the docstring with `help(Prophet.add_regressor)` in Python and `?add_regressor` in R. Note that regressors must be added prior to model fitting.\n",
"\n",
"The extra regressor must be known for both the history and for future dates. It thus must either be something that has known future values (such as `nfl_sunday`), or something that has separately been forecasted elsewhere. Prophet will also raise an error if the regressor is constant throughout the history, since there is nothing to fit from it.\n",
"\n",
"Extra regressors are put in the linear component of the model, so the underlying model is that the time series depends on the extra regressor as either an additive or multiplicative factor (see the next section for multiplicativity)."
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 2",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.14+"
}
},
"nbformat": 4,
"nbformat_minor": 1
}