prophet/notebooks/seasonality,_holiday_effects,_and_regressors.ipynb

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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"block_hidden": true
},
"outputs": [],
"source": [
"%load_ext rpy2.ipython\n",
"%matplotlib inline\n",
"from fbprophet import Prophet\n",
"import pandas as pd\n",
"import numpy as np\n",
"from matplotlib import pyplot as plt\n",
"import logging\n",
"logging.getLogger('fbprophet').setLevel(logging.ERROR)\n",
"import warnings\n",
"warnings.filterwarnings(\"ignore\")\n",
"df = pd.read_csv('../examples/example_wp_peyton_manning.csv')\n",
"df['y'] = np.log(df['y'])\n",
"m = Prophet()\n",
"m.fit(df)\n",
"future = m.make_future_dataframe(periods=366)"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"block_hidden": true
},
"outputs": [
{
"data": {
"text/plain": [
"Initial log joint probability = -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_peyton_manning.csv')\n",
"df$y <- log(df$y)\n",
"m <- prophet(df)\n",
"future <- make_future_dataframe(m, periods=366)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 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": {},
"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": {
"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": {},
"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 1.22536 1.200273\n",
"18 2014-02-03 1.90393 1.453321\n",
"19 2015-01-11 1.22536 0.000000\n",
"20 2015-01-12 1.90393 0.000000\n",
"21 2016-01-17 1.22536 0.000000\n",
"22 2016-01-18 1.90393 0.000000\n",
"23 2016-01-24 1.22536 0.000000\n",
"24 2016-01-25 1.90393 0.000000\n",
"25 2016-02-07 1.22536 1.200273\n",
"26 2016-02-08 1.90393 1.453321\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>1.22536</td>\n",
" <td>1.200273</td>\n",
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" <tr>\n",
" <th>2191</th>\n",
" <td>2014-02-03</td>\n",
" <td>1.90393</td>\n",
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" <tr>\n",
" <th>2532</th>\n",
" <td>2015-01-11</td>\n",
" <td>1.22536</td>\n",
" <td>0.000000</td>\n",
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" <tr>\n",
" <th>2533</th>\n",
" <td>2015-01-12</td>\n",
" <td>1.90393</td>\n",
" <td>0.000000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2901</th>\n",
" <td>2016-01-17</td>\n",
" <td>1.22536</td>\n",
" <td>0.000000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2902</th>\n",
" <td>2016-01-18</td>\n",
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" <tr>\n",
" <th>2908</th>\n",
" <td>2016-01-24</td>\n",
" <td>1.22536</td>\n",
" <td>0.000000</td>\n",
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" <tr>\n",
" <th>2909</th>\n",
" <td>2016-01-25</td>\n",
" <td>1.90393</td>\n",
" <td>0.000000</td>\n",
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" <tr>\n",
" <th>2922</th>\n",
" <td>2016-02-07</td>\n",
" <td>1.22536</td>\n",
" <td>1.200273</td>\n",
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" <tr>\n",
" <th>2923</th>\n",
" <td>2016-02-08</td>\n",
" <td>1.90393</td>\n",
" <td>1.453321</td>\n",
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" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" ds playoff superbowl\n",
"2190 2014-02-02 1.22536 1.200273\n",
"2191 2014-02-03 1.90393 1.453321\n",
"2532 2015-01-11 1.22536 0.000000\n",
"2533 2015-01-12 1.90393 0.000000\n",
"2901 2016-01-17 1.22536 0.000000\n",
"2902 2016-01-18 1.90393 0.000000\n",
"2908 2016-01-24 1.22536 0.000000\n",
"2909 2016-01-25 1.90393 0.000000\n",
"2922 2016-02-07 1.22536 1.200273\n",
"2923 2016-02-08 1.90393 1.453321"
]
},
"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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DwVKh9/s6u9ko8eGYaMy7JxzvbMvD8r3nMWpFJjq7WOP5AUF4IMEHKoX0u72JOgIWQCK6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\nejAGAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f490bf87940>"
]
},
"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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U4fZP33DsgzVHs5PNj/TJvC43hVNsEiaMyg7rwotYFBcX/+c//3nmmWei/tl6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rdpQtDjbo0NDbA/MDV03dWiFadzjRwemCILSsybb5R8EZ+7c3JoR2cDDiTyVC5iXrCz6Gx2FYMx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\ngcIMAAAAGJH/B0EWUGo9vB7zAAAAAElFTkSuQmCC\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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ml0tyy8R2LAt+zEykpCCEOBxO0/dLS2drayuTyZrujVm6DqUmKUP8rKz+tzGe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\nwgwAAACYkf8Dbb9f+7R7e0QAAAAASUVORK5CYII=\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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bro8b3lq5X5LJZHh10VjUt3Xh0W8u7oAhpPYuE97ZX4xrw71wVaht5xiSrpmb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\nHhtIFZKNPgAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f490bd97da0>"
]
},
"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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nzhw4cMDKYfVPziwqm0apam61dSAA9F9SlfZOtWKMP4xgBjZjvjC3trY+mp5b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\nAwSush8AAAAASUVORK5CYII=\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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6KFatWgUAePbZZzFu3DgUFBTg2WefxYoVK8Qqd1TxhLZgbulCRHSqirYexBs0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\nRkRERNQI/H+oxMmHyQ7FwwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f490bd98cc0>"
]
},
"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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sNghms0EwP5JWplx2PvdQStnU9i5z4tylxh5zG8HcqAbB3MjtQnZ2dps2bRo/\nfvyjsbKNhTTxJBKtXz+fQ371vH+cl+3UXclz4z3mxnmYet4LQ2suqKofteVudx+7r573o5iblMPU\nu9IUWFcz+V9MF2Iw1tWMpn4k0Em4ZlhQamntN+dyOq25MSPWdXach5PIaDeW6gtGUz9jW42eyh43\nbtyRI0e6du0qFv89rLRRRv4y3ScO/exSRpyxJKVEMWnrbV8H4drR4aab94LH4xk0d1BWee2Q324O\nDXP+fEAgUwe2fnIYpVLJzOZbytCmtgT62aXYOA8P65paP7sUjuoG7hfXLDmVeSSl5NXOnnO7eTsZ\no/eMN5AnqdVqOzu7x5e0xZG/mkmh0r59OD0hp3LdyOAYN4kR1/yIQadH0suVo7YkvRjl/G4PL1MU\n00w4lW02OJVtNjiV3YT7xYqvz+WeypDPjHWZ1cXdoXWDJeBUdqOaNfLXli1buj9m7dq1pivIYom4\n1PdDA+fFe4z+/d6v1x8yW8z9YsWwTXdnxrowm8oA0NaEOot+GRm8f0q7B2W1Hdfc+PJMdoVSzXRR\nVq7hZ5/Q0FCCILKzs0+cOKFfolar7e3tzV2XxZjW3qW9m2Tm7uRLuVXLXvAXM/G4cOLDmnHbkt7u\n7vVyB1fzbx0AIMxZ9OuokKRixdKzOR3X3Hilo+vrndwwqJGJNDyVrT/bPGvWrO+///7RQnt7ew7H\nCDuAXaeyHydXquccSEsvUxp33ovmnB65kls1aef9j3r7TI6WGWu7rYFT2WaDU9lmg1PZBrlTqFh6\nLudiduWrndxe6+RqyzcgHXAqu1HPflzKdNgbzARB6HTE6kv5yy/mfTXAb3Q76bN/oRmeubPPZ1dO\n25VsxC22HoLZbBDMZoNgboHEhzVLz+Vcyql6vbPbqx3dbPjNOpuIYG5Us64xw5NIkpgd575pTOjH\nJ7IWHjHHvBcnM+TTdiUvH+RvOakMAKAX5SreNCZ0x4Swa3nVHdZc/8+FvOp6DdNFWQkEs2HivGxO\nzIx6UFo7aMPtbFPOe3Eopezl3Sk/DAsaEuJkuq0AALRGjJtky7jQrePCLuVUdlhzY/mF3BrEc6sh\nmA3mLObumBDWx9++//rbR1JNMu/F7qSSOQfS1o8O7hfQdm+7AwC2iHWXbB0ftnlMyIXsytjvr6+4\nmKdQaZkuisUQzC1BU+S/e3mvHhI498CDz05lG3fei98Ti989mrFlbGgPH7tnv/zccdgAACAASURB\nVBoAwDJ09LDZPiF809jQs1mVsd9fW30pH/HcMgjmlusXYH9sRtS5LPno35MKjTRj2rprDz8+kbl9\nfFhnTxujrBAAwJw6edjsmBD22+jQ42kVHddcX3O5oBbxbCAEc6t42fH3TW4XLhP3WZd4Pru19xmu\nvpS/7HzunkntTDTQGACAeXTxtPljYvgvI4OPpJZ1XHP9xysFSjXiubkQzK3Fo6kv+/t+3t9v2q7k\n5RdyW/z02Tfncn+6UvDnpHZhziKjFggAwIx4L9s9k9r9NCL4QHJZxzU31l59iHhuDgSzcYwIczo8\nNeKPpNJJO+6X1xo8Xt1np7K3JBbtmxIR6GS00UsAACxBN2/bvZPbrRkW+Oe9kpgVl9ZczDbD46as\nhgFGjKlWpX3nSPqF7Mp3e3gJuVRNvVal1dZrdIp6jY4gKus0BEHUqjR1ap1aq6uu13A4nHJFXaVS\nU6FU7Xox3MOWz2z9zYEBRswGA4yYDQYYMZsLuTVLzuRkldXMi/eYHOPCo9kx/yPz8zFDiwm51Koh\ngZtuFe24W0IQhIBD8mmKQ5ESHk0QhK2ApkjSQcjl0yRJEnYCDp/P52jVPA7VzdvWsXVztgAAWL7e\nAY4vhLv9eTN76bncFQn5/4r3mBjtzKNx7vYfEAbGNzla1sxxrdn4gRcAoJV6+9v39rc/nl6x9GzO\nioS8f3X1eDHSmYt4/q+WB/OOHTsuXbpEEERNTU2nTp1mzpxJEERJScmCBQtkMhlBEPPnz/fw8DBW\noQAAYE36+tv39bf/K6186dnc5Rfy3urmOS5CingmWhPMY8eOHTt2LEEQq1evHjRokH5hUVHR4MGD\nx48fb5zqAADAqvUPcOjn73D0QfnX53K+OpP9fi+fsRFSDmVx155vFVTrv4g2/eOsrT2VnZWVJRQK\nXV3/nie4qKgoLy9v5cqVERERvXv3bnV5AABg5UiSeD7IYUCgw+HUsk9PZi05nT052nl+dy9LiGd9\nHguFZh0AvLV3ZS9btuzVV1+1sfl7mKpLly7J5fLY2Njly5ePHTs2OjqaIIhNmzaVl5dLJJIJEyYY\noeTGcDgciqLq640z/JbZcLlclUrFdBWGoWmaw+HU1ZlwAg9TYGNT46g2GxzVZkPTNE3TTRzVOh2x\n717xosMpdWrt9I4e/YOc6P/Gc3sPW5PWdiPvqYNEcTgctVptojJUKpWt7T/W2aoec3V1dW1t7aNU\nJgiiS5cu+i/69OmTkpKiD2YAAIDmIEliWLjz0DDn5Wczf7ma99v1/OkdPPoFOtIU2URwNhGWj/+W\n/mVNrMdCtKrHfPr0ablcPmzYsEdLtmzZEh4eHhMTs379+sDAwO7duz/+eqt/jtlQbLwrG88xmw2e\nYzYbPMdsNnw+n8/nV1Y2Kxq1Ot3qhPwNNwu1WmJyjOw5PzuKZObktlAorK2t1X9timvMxnyO+cqV\nK+PGjdN/nZKScuTIkfHjx3/77bc7d+6USqXx8fGtWTkAALRlFEnOiffo7mN7JrNy483CzbeKpsS4\n9PS1ZSqezQYjfzGJpR940WM2D/SYzQY9ZrMxqMf8yK2Caq1OdypDvulmEUURU2NcuvuYNZ7Z1GMG\nAAAwNX0WUiT5nK/diYyKX68XbrxZOLW9a3dvW6vsPONRbgAAYIFoNwlFkf0CHH4ZETQ2wvnnqwWv\n7U05n11pxtO+ZoJgBgAAdvi760yRAwId1o0MHhMu/fFywRv7Ui9YVzwjmAEAgDUeXeKlKXJAkOOv\no4JHhknXXM5/c1/qRWuJZwQzAACwyeO3X9EU+XyQw6+jgoeEOq26lD97/4NLuZb+mPIz4eYvAABg\nGX02Pxq/mkNRg4IdBwTaH3lQseJivqOweGp7WScPmybXYbkQzAAAwErRbpJH2UwQBIeiBgc7Dgi0\nP5xS8Z/zeVIxd2qMrCML4xnBDAAAbNUgmwmC4FLU0FDHF4IdDiWXLTufK5PwpsXIYt3ZFM+4xgwA\nACzW6IgfXIocFua0YUxob1+7r87m/utg2o1/5rclQzADAAC7PW00Li5FjgiXbhwb2svX/sszOQsO\npt96yIKx0hDMAADAek2MlMmjyJHhTpvGhHT3tf38VNZbh9ITCy06nhHMAABgDZoexZpHU6PCpRvH\nhMZ72356ImvhkfQ7RQqz1WYQBDMAAFiJZ84wwedQY9pJN40N7ehus/h45rtHM5IsL54RzAAAYD2a\nM/uTgEONi3TePDa0vat40bHM946mW1Q8I5gBAMCqNHNmRgGHmhAl2zw2NMpVsuh45r+PZtwvtoh4\nRjADAIC1af6syUIuNTFKtmlMaISr+N9/ZX7wV2ZKCcPxTOrMOOa36eb05nK5FEXV1dWZaP0mwuPx\n6uvrma7CMBwOh8PhKJVKpgsxDEubmqZpHNVmQNM0l8vFUW0GZn4DuZFn2LjZCpV2e+LD7YmFUW6S\nmR08gp1F+uVcLlelUum/bu9ha9wi1Wq1nZ3d40vMOvKXSXcGG9OCoijW1czj8dhYNhtrFggEJEmy\nrmw2NjWPx8MbiHnw+XxzHtVhTrxbhowrwiGIiZHS4SEOO++WzNufHOUqnh7jGuAkoCjq0WcgMxRv\n1mA2de/cnL1/Y2FjzQQ7y2Zdzbr/YroQg7GuZjS12egLNmfZUa5ig7KZIAgRl5oaIxsV7rTrbsmC\nw2kxruJX47zdRaT+p2YoHteYAQDAmjX/evPjJDx6WnuXDaNDfOz5b+y+98mJrIxyM3X0EcwAAGDl\nWpbNBEHY8ukZsa47Jkd72fHnHUz77FS2QqU1bm1PQjADAID1a3E2EwRhJ+DM7OC6aUxolItYxDV5\nbiKYAQCgTWhNNhMEYcunh4c5GauYJiCYAQAALAiCGQAA2opoN0kr+81mgGAGAIC2xcKzGcEMAABt\njiVnM4IZAADAgiCYAQCgLbLYTjOCGQAA2ijLzGYEMwAAtF0WmM0IZgAAaNMsLZsRzAAA0NZZVDYj\nmAEAACwom1s+H/OOHTsuXbpEEERNTU2nTp1mzpxJEIRKpVqxYkV1dbWPj8/06dONVSUAAEAb0fIe\n89ixY7/55ptvvvkmIiJi0KBB+oUJCQnu7u6LFy8uKCjIyckxUpEAAAAmZyGd5taeys7KyhIKha6u\nrvpvU1NTAwICCILw8/NLTU1tbXUAAABmZAnZ3PJT2Xo7d+589dVXH32rUCicnJwIgpBKpTU1NfqF\no0ePzsrKkslkBw8ebOXmmsbn8026flMQCoVMl9ASUqmU6RIMxtKmxlFtNjiqzcbCm7qvVHotp6LB\nwkf/iVKpvXE3p1AoGixpVTBXV1fX1tba2Ng8WiISiUpLSwMCAkpLS52dnfULN2zYoNFoKIoqLS1t\nzeaaIBAIOBxOdXW1idZvImKx+NHHF7bg8XgCgaCyspLpQgzDxqYWCARcLreqqorpQgzDxqbm8XhC\noVAulzNdiGHY2NR8Pp/H41n+Ue0rIm4V/C9QhEJhbW2t/utSkcbomxOJRI9/26pgvnbtWlRU1ONL\ngoKCMjMzO3funJWV1bVrV/1CsVis/0KpVLZmc8+k0+lMun6j0+l0rKtZj3Vls7Gpdf/FdCGGYW/N\nLC2b6SoMoy+YFWU/XuTjTW2G4lt1jfnKlSsxMTH6r1NSUlauXBkXF5eXl7d06VKZTObl5WWMCgEA\nAMyNwYvNpDk/uZSUlJhozUKhkMPhWP7pkQZYeiZKIBDgpJ8Z4FS22eBUttnw+Xw+n8+ia2H6E9qP\nn8o2RWA3uOiOAUYAAAAax0i/GcEMAADwVObPZgQzAABAU9p72JpzcwhmAACAZzBnvxnBDAAAYEEQ\nzAAAAM9mtk4zghkAAKBZzJPNCGYAAAALgmAGAACwIAhmAAAAC4JgBgAAsCAIZgAAAAuCYAYAALAg\nCGYAAAALgmAGAACwIGadj9l0Dhw4kJycvGDBAqYLsX4XLlw4dOjQZ599xnQh1u/o0aM3b95cuHAh\n04VYvytXruzatWvJkiVMF2L9Tp48ef78+UWLFjFdiEWzkh5zdXV1eXk501W0CbW1tSUlJUxX0SZU\nV1eXlpYyXUWbUFtbW1xczHQVbYJCocBR/UxWEswSicTBwYHpKtoEoVAolUqZrqJNkEgkTk5OTFfR\nJgiFQmdnZ6araBNEIhGO6meyklPZAAAA1sFKeswAAADWgcN0AQZQKBRffvmlWq0WiUQLFy6kKGrF\nihXV1dU+Pj7Tp09XqVSPf1tTU7NkyRKNRiOTyebNm0eSJNPls0nTTa1/zWefffbOO+8IBIIGLc9k\n3SxkUFM3eDGfz2e0dpYxqKn13966dev48eO4q9RQBjW1Vqtdu3ZtcXGxra3tnDlz8F5NEAT98ccf\nM11Dcx09etTJyWnu3Ll5eXklJSUPHz7U6XSzZ88+dOiQr6/vnTt3Hv/26tWrUql09uzZFy5ckEql\nuKphkKabmqKoDz744Pbt22PHjuVwOBcuXHj8p3Z2dkyXzyYGNXWDFwcEBDBdPpsY1NQEQSgUilWr\nVkkkkvj4eKZrZxmDmvrKlStVVVWzZ8+ur6/n8Xg2NjZMl888Np3KDgwMfO655wiCsLGx4XK5qamp\n+jcmPz+/1NTUBt86OztnZ2eXlZWVlpba29szWznrNN3UEonkq6++ioyM1L+4wU+Zq5qVDGrqBi9m\nrGh2MqipCYJYv379mDFjmKqW1Qxq6qSkJI1Gs2LFCoVC4erqymDZloNNwRwSEiKVSi9fvnz+/PnO\nnTsrFAp9P1gqldbU1DT4NjAwMC0t7euvv6ZpGsFsqKabmiRJmqYp6u+Dp8FPmaybhQxq6gYvZrRw\n9jGoqS9fvuzi4uLj48NoyWxlUFNXV1c/fPhwwoQJly5dunHjBqOFWwo2BbNOp9u+ffu5c+cWLVok\nEolEIpH+ebjS0lKxWNzg2+3bt0+bNu3LL7+Mjo4+deoUw6WzTdNN3eDFTf8UmmZQUzd4MRP1sphB\nTb1nz567d++uWrXq9u3bR44cYaJeFjOoqcVicf/+/WUyWc+ePdPS0pio1+KwKZgvXrxYXV09f/58\niURCEERQUFBmZiZBEFlZWUFBQQ2+VavVWq2WIAitVqtWq5msm4WabuoGL276p9A0g5q6wYvBIAY1\n9RdffPHRRx/Nnj07MjLy+eefN3+1rGZQUwcGBuovgaWnp7u4uJi9WEvEppu/9u/ff+fOndOnTx87\ndozP58fHxx8/fvzs2bMymaxXr17u7u6Pf+vj47N+/fpTp07J5fJJkybp7+aAZmq6qfWvOXnyZM+e\nPTkcToOWZ7Zy1jGoqRu8GCdaDWJQU+u/rampSUxMxM1fhjL0DeTQoUMHDhzQ6XTjx49/dIq7LcMA\nIwAAABYEn00AAAAsCIIZAADAgiCYAQAALAiCGQAAwIIgmAEAACwIghmgbVmyZMny5cuZrgIAngrB\nDAAAYEEQzADWr76+/vXXX/fx8encuXNiYiJBEHK5fMiQIZ6enoGBgcePH2e6QAD4HwQzgPX75Zdf\nMjMzU1JS9u3bd+7cOYIgNm/e7ODgkJOTs2bNmr179zJdIAD8D4IZwPqdPn161qxZfD7fxcVl3Lhx\nBEF07dr17NmzH374oUQiwSVnAIuCYAawfhRFkSSp/5qmaYIgYmJibty44eHh8fHHH48aNYrR6gDg\nHzBWNoD1+/HHH/ft27d79+7KysrOnTvPmTNHLpdrNJpPP/00Pz8/ODi4srISkwcAWAjMuQRg/WbM\nmHHjxo2QkBBnZ+cpU6Y4ODgMGzZswoQJv/32G5fLXblyJVIZwHKgxwwAAGBB8DEZAADAgiCYAQAA\nLAiCGQAAwIIgmAEAACwIghkAAMCCIJgBAAAsCIIZAADAgiCYAQAALAiCGQAAwIIwPCRnTU2NEddG\nURRFUWq12ojrZApN0xqNhukqjMCadgphRfuFIAgul6tWq61m7D9r2jUE9o5l43K5Go1Gq9Uaa4Vi\nsfjxbxkO5traWiOujc/nCwQC466TKWKx2Dr+EGvaKYQV7ReCIPT7RaVSMV2IcVjTriEIgs/nq1Qq\n7B3LxOfzjfu/0yCYcSobAADAgiCYAQAALAiCGQAAwIIgmAEAACwIghkAAMCCIJgBAAAsCMOPS7FO\nVZ1m192Sfcmld4oUZQqVLZ8T6y4ZHuY0PkLKpfEpBwAAWgvB3Fxqre6nKwXfJeRHuojHtHP+aoBE\nKubKlZrz2fJfrxeuvJi3emhgRw8bpssEAAB2QzA3S2pp7ax9DyiS2Dwm5PH0tRdwfOxlL0bKNicW\njd92f8kA37ERzgzWCQAAbIdgfraDKWXzDqTN6uI+J86dQ5FPvoAkicnRslCpcOKO+0IuPSTE0fxF\nAgCAdUAwP8NPVwuWnc/7eURQLz/7pl/Z0cPm11EhU3cmu9vwYt0l5ikPAACsDO5XasrSszmrE/L/\nnBj+zFTW6+Ztu7iP9+t7U6vrrWe4dgAAMCfjB/Nnn32mVCoffatSqZYtW/bJJ5+sX7/e6NsyqS/P\nZG+9Xbx/SkSos6j5vzU1xiVcJlp0LNNkdQEAgDUzZjBXVVW9/fbbV65ceXxhQkKCu7v74sWLCwoK\ncnJyjLg5k/ruYt6OOyV/TmrnZcc39HeXvRBwILnsSm6VKQoDAADrZsxglkgkX331VWRk5OMLU1NT\nAwICCILw8/NLTU014uZMZ8PNwp+uFOx8MbwFqUwQhJOI804Pz38fy9Ray1yqAABgNsa8+YskSZqm\nKeofYa9QKJycnAiCkEqlNTU1+oWffPJJYWGhvb39J598YsQCKIqiKMrOzq41K9l/r+j/TuUceaVT\njLtti1cyv7ftplslRzJrJ8S4tWwNNE1zONZwa55RdorlsJr9QhAERVFisVhnLR8frWnXEARB0zT2\njsUy7t6pq6trsMTkLSUSiUpLSwMCAkpLS52d/37Gt3///gqFgs/nP341uvU4HA6Xy23NOm8WVM/Y\nlrhhXLtQR14ra3u3p/fnx1OHBtvTjT1h9Ux8Pv/JvcVGHA6Hx2ttY1oOq9kvBEGIxeL6+nqNxkpu\nVLSmXUNg71g24+4dtVrdYInJgzkoKCgzM7Nz585ZWVldu3bVL3z0RUlJiXE3x+FwWrz786vqx22+\n/Ukfn64eotYfQwMDbb88RWy/lT8qXNqCX2/NH2Jp8LdYJpFIpFKpVCoV04UYhzXtGoIghEIh9o7F\nMvXeMeHjUikpKStXroyLi8vLy1u6dKlMJvPy8jLd5lqpVqWduvP+mAjppGiZUVZIkeSCbh7fXcgz\nytoAAKCNIJm9hmHcHjOfzxcIBHK53NBf1OmI1/amVtWpN40JbdmZ50aptboO31//flhQN2+DL1eL\nxeJHl+RZrcU7xTJZzX4hCMLBwaG6utpq+mTWtGsIgrC3t6+pqcHesUxG3ztS6T9OrGKAEYIgiFWX\n8m4X1vw4PMiIqUwQBIciZ3RwXXu1wIjrBAAA64ZgJk6mV6y4mL9hdIgt3/hX3KfGuJzKkOfIrefi\nCgAAmFRbD+Yced3re1O/GxwQ5CQ0xfodhZyBQQ5bEotMsXIAALA+bTqY6zW6l3anTIlxGRRswvmg\nJkbLtt0uxmAjAADQHG06mBcdy5Tw6Pd7mvZecf2dX2czreTuJwAAMKm2G8y77pYcSikz+g1fT6JI\n8sUo2dbbxSbdCgAAWIc2Gszp5cp3j2Z8PyzQWcw1w+bGRTgfTClTqLRm2BYAALBaWwxmpVo7Y1fy\n7C5uPXzMNICzjz0/RCo6llZuns0BAAB7tcVg/uCvTEcRd268hzk3OiLMaXdSqTm3CAAAbNTmgvnP\ne6VHHpSvHRFEkaa9tNzA8DCn4+nlVXVWMiQ9AACYSNsK5mx53duH078fGigVmePS8uM8bPmRLuK/\ncDYbAACa1IaCWa3VvfZn6vT2Lj19mZkbeFCw48GUMkY2DQAAbNGGgvmrMzkEQbxr4qeWmzAo2PF4\nWkW9BiONAADAU7WVYL6QXbn+RuEPw4I4Jn5quQl+DgIvO/4ZjDQCAABP1yaCuUKpnrXvwZcD/Hzs\n+cxWMjDY4WAK7s0GAICnMv58SgYRi8VGXBtN0zRNP7nO1/bd7uHnMK2zjxG31TIjozzGbbolEomf\neUs4l8s1buMw5Wk7haWsZr8QBEGSpEAg4PF4TBdiHNa0awiCoCgKe8diGXfvPDmvM8PBbNyps/l8\nPkmSDda59XbxlZyKUy9FWcI03cF2lFqrvZRRFOnyjGPUauYVb3SnsJfV7BeCIHg8nlKpNOJk78yy\npl1DEASXy8XesVim3jsMB7OpZVXULTqWuWlMqCnmWm4BiiT7BjgcS6t4ZjADAEvlyOsu51ZV1Wlc\nbbix7jYys4z7C9bEIuLKRDRa3ax9qTNiXeO8bJiu5X/6+dv/eKVgflezjjsGAGZws6D6w+OZtx7W\ndPG0tRPQ+ZX1d4pqevvZv9vTK9xZxHR1wBrWHMwrEvLr1NqF3S0rAp/zs5u1L7VMoXI0+yAnAGA6\n/7mQt/pS/oKuHtvHhwu5f99XW6pQ/3r94ZCNd16KdX2vp5ep57ID62C1d2XfelizKiH/+6FBXNqy\n/kY7ASfWXXIKD00BWAudjlhwKG3b7aJjMyJndXF/lMoEQTiJOG939zw5M/p0pnzC9vtypZrBOoEt\nLCu0jEWp1s7al/p+T89gqZDpWhrR28/hVEYF01UAgHF8fjr7Sl71wSkRvvaCRl/gY8/fNyXCUcgZ\n9XtSWS2yGZ7BOoP5k5PZHja8lzq4MV1I43r52Z7OQI8ZwBpsTSzafqd467jQpi9O8WlyzbDAKBfx\nqC130W+GpllhMJ/MkP9xt3jFkEDzTh9lgBhXSa1ae79YwXQhANAqaWXKD45l/Twi2MP22YMXUSS5\nbKB/uEw8acd9pVprhvKApawtmEtr6ufuf/DNwABXieU+mE9TZA8fu9O4zAzAZhqt7o29qW90duvs\n2dznPiiS/G6Qv4RHz9qbqsOo+fAU1hbMs3bffc7ffmiII9OFPMNzfna4zAzAauuuF6q1un8Z+Ogj\nl6Z+HhmcVqb84nS2iQoDtrOqYJYr1Rqt7ot+vkwX8my9/Owv5lSpNDidBcBKD6vrvzqb8/ULfi2Y\nF0fCozePDd2cWLQ7qcQUtQHbWVUw2wk4O6fG2vBppgt5Nm87vpOQc6PAesaoA2hTvjydMyzUsYN7\nCwcv8rTjrxsZ8vbhjNuFeBOAhqwqmNmlh6/d2SxcZgZgn3vFin3Jpe/2aNXk7nFeNh/08pq2K7lM\nYSUDYhudRqtLL1eezqg4nVGRVqZUa5m/LG+eOwOseeQvC9fT127DjcK3unkyXQgAGOb/TmW/2tHN\npdV3mM7s4HrzYfWrex9sHRfK4FTxFuhaftX664WHUssJgvC24xMEkVtZp9bq+vrbT4lx6elrx1Rh\n8w+ldfW2fbW7vUm3gmBmTHcfu7n7HyjVWgEH5y0AWONmQfWVvKofhgUZZW1fvxAwbNOdT09mfdrX\n1ygrZLtsed37RzOu5lfPaO9yYEq7EOn/xhhPL1fuvVcyZ/8DVxve5/18O3qYexKE3UklJ9IrPnrO\n29QbQjAzRibm+joIL+VU9vIz7YcvADCib87nvtbJzVj3svBpcv2okP7rb4c7iyZEyYyyzifpdERS\nseJmQXVmRZ1KoxXzaH8HQTcfW0t7rHTzraKPjmdNiZH9ODxIwmvYwv4Ogn919Xyzi/uvNwpf3H5/\nTITzR895Pz4AqkmllysXHslYPzrEDNMcGDOYVSrVihUrqqurfXx8pk+frl9YUlKyYMECmUxGEMT8\n+fM9PCxrSglmdfOxPZ+NYAZgjduFNZdyqr4fGmjEdbrZ8NaPCh6/7b6/o7D5j0Q3U35V/a/XHu64\nW1Kn1nb0sAlwFHApsqxWfSG76F8H02LcxC93cBsW6sT4cEwqjfbdoxkn0uXbxoc23RXm0tSrHd2G\nhTrNO5DWf/3t9aOCA51MPvRynUb38u6U1zq5dfO2NfW2COMGc0JCgru7+4svvvjll1/m5OR4eXkR\nBFFUVDR48ODx48cbcUNWo5u37Y9XCpiuAgCaa2VC/oxYF6PP797Rw2bp835Td90/MCUywLHxAbcN\nVVSj+uZc7vY7xYOCHX8YFtTZU0L9M34VKu0fSSVLzuasTMhb+rx/rLvEKNttAYVKO/OP5Mo6zfEZ\nUU6iZrWtq4S3dVzYyoS8gRvurB4aOCDQwaQVvnck3UnEXdDNTB1LYx5eqampERERBEH4+fmlpqY+\nCua8vLyVK1dGRET07t1b/8pNmzaVl5dLJJIJEyYYsQCapmmaFovFRlynSfUL5c7a94DgCsRPnLTh\ncrks+kOawLqd0jSr2S8EQZAkKRAIeDzLOpnZYmbYNVnltX+lVdyZ31UsNn6jTe0sLlLqXtxx//gr\nHV1t+BRFtXjvqLW6VReyvzqVMSxcdnVOnI9D4x1KMUG81tXmpTjftZdzx26992ZX73/39jPRxJRN\n7J3qOvWk32/ZCbjbp7QXcg27QPB+v+COPk7Ttt1e1DdgVnyrbpJvwvpr+aezKi/M6mLz35PYrdk7\nT1KpGt6Wb8yz8wqFwsnJiSAIqVRaU/P3w3lCoTAiIuLFF188fvz4rVu3jLg5K+As5vk7ihKyMQQY\nAAusvJA9NlImM9l12bd7+g4MkQ7+9UZxTX2LV3Itr7Lb95d23S48MCP2x1HhT0vlRzgU+Uac18U3\nuxxJKRmx4Wa5eSe/UtRrRm686STibnkx0tBU1usf5HTs1U7Lz2X9+7BJRjm9mFXx3sGU31+McjL9\npeVHjNljFolEpaWlAQEBpaWlzs7O+oVdunTRf9GnT5+UlJTo6GiCICZPnqxfWFJizIFv+Hw+SZKP\nPhOwQryX5ERKUZxbw5NXYrGYXX/I07BxpzTBavYLQRA8Hk+pVD75aZ2lTL1rKuvUG6/nH5kWadKt\nfNzLs7ZONWDt1UOvdHbkag3aOwqVdsmZ7M23it/r6TUz1oWmDPi/k/GJrZAcPwAAIABJREFUvZPC\n3z6c3vvHS1vHhXnZPXtODoM0unfqNdrJO+6LOdSaIX71ytoWfxjxERMHprSbsO1eXoXiu0H+XNpo\nHc4ced2ELbeXPu8XYk8/Xj+XyzXp/44xe8xBQUGZmZkEQWRlZQUF/f0swZYtW27evEkQRHZ2tpub\nhc7DyKCuXrYXsiuZrgIAnmFLYnEnD5sgE99nRJLEVwP8ng9y6Pl9wq2C6ub/4l9p5T3W3kwtrT31\nUtQrHV1bcEaaT5MrBgUMC3UatOFOSkmtob9uKK1O9+a+B/Ua3bpRIa2PUncb3t7J7bIrlFN2JitU\nxhnquLxWPWH7vakxLqPbSY2ywuYzZjDHxcXl5eUtXbpUJpN5eXmlpKSsXLmyX79+W7duXbRoUUVF\nRXx8vBE3Zx3ivW1vFFRjDjgAS6bV6X65+vDVTuboWpAk8eFz3v/uGzh0Q+LP1x5qn3V+9n6xYtKO\n+wsOpi96zvv31nV2SZJ4t4fXm3HuwzffTTLxvLQfHc9KLa3dMCaETxvnqra9gLPzxXAuTY3aklTW\n6hPyNfWaSTvux7pJWjm+W8uQOkbnHjP6qWyBQCCXs2ycy/ifbn7zgn+Du/Ct5pQpS3fK01jNfiEI\nwsHBobq6Gqeym+NIavnHJ7MuvBJjtseK7O3tLzwofGPPfR6HWtjDs6+/fYN7qnU64nJe1Y+X809l\nyl/p6DonzuPJB39b7NfrD5eezf1jYniYs+jZr26GBntnzeWCtVcLDk2NaP3oaQ2otbqFR9LPZVVu\nHR/m79DC+9trVdqJO+7b8umfRwQ12pu3t7evqakx4v+OVPqPTjkGGGFevJfNxexK8zweBwAtsO76\nwxmxLmZ+2DfaTXJ8ZtTGm4Uf/JW5UKvr6WMXIhVK+LRcqU4uqT2fXanV6iZFy5a+4C819n1JM2Jd\ntTpi1JakPZPCHx97yyj23CtdfiF332TjpzJBEByK/HZgwPKLeQN/u712RHALBu+UK9WTdty3F3LW\nPiWVzQDBzLx4L9utt4uZrgIAGpdRrryUW/XTcOOMwWkQDkXOiHWd1t7lWl71+ZzKe8UKhUpry6fD\nnEXTYlw6eDR8NNmIXurgqtHpRv9+789J7Yz1aDVBEOezK986lL55bGiw1IRX6/8V7xHkKJy5O2VO\nnPucOPfmt1JmhXLqzuQIF7FxbyIzFIKZefFetm8dTq/XaHnMHQcA8DTrbxSOCneyEzD2bkmRZCdP\nm07GHhTsmV7t6Fan1o7acvfPye187Y2QzXcKFTP+SP5ucECcl8n/lsEhjkFOwlf2pJzOkP9nUICP\n/bMvve+9X/rOkYyXO7i+3c2T2aHQkATM87TjS0XcW5ibGcDy1Gl0W28Xz4h1ZboQZsyJ85ge6zpy\nS1JmhbKVq8ooV47flvRBL+8hIY5Gqe2ZgqXCozOiYt0lvdfd+uJ0tlz51DvCUktrp/+R/OGxzB+G\nBb3TneFUJhDMFiLeyzYhFw9NAVicP++V+NrzI12sZLi3Fpjf1WNKtMuIzUnp5S3P5szy2pFbkl7t\n5DatvYsRa3smPk0ues774JSIlNLamNXX5x54cDCl7GF1vVan02h1WRV1O++WTN55f8D62/4OwrOv\nRPf2Y2xCycfhVLZFiPOyOZxaPieO6ToA4J9+u1Fo5iyxQAu6eXAoYujGO9snhLeTGXwvWEa5cszW\ne5OiZfPimZnEKNRZtH5USHq5ctvtou8u5t0prKnX6AiCEPPoGFfxoBDH7wYFNnOMbvOwoFLasjgv\n209PZmt1OtPdygEAhrpXrEguqR0RZu7xJSzQ3HgPWz5n5Ja7Pw4PNqhbebuwZsK2e2929Z7V0VST\nWjaTv4Pg/Z7e7/ckCIKQK9UUSRpr7k6jw6lsixDoKORQ5H3Tj7YDAM234UbhmHZSkblm/LVw02Nd\nVg8NfHVPyoqLec0c/+LPe6UjtyS919PrnV5+Jq7OMHYCjsWmMoFgthAkScR52V7E2JwAFkOp1u68\nWzK1zZ/Hflz/AIf9U9rtvFsydtu9jCYvOcuV6nkH0v79V8Zvo0OmxKANDYNgthRxXjYXcxDMAJZi\nT1JJoJMw3EhDX1mNEKno6PTI9q7ivr8mvnc048l4LlWoVybkdf7xZo1Kc/aVGAyd1AK4xmwp4rxs\nVyXkM10FAPxtw82iqejqNUbAoT54zntitGxVQv5zv9zysRdEu0lkYq5cqb5XrEh8WNPDx27j6JDO\nZn/w2mogmC1FhExUXa/JrFAa5UF+AGiNe8WKlNLaEWFOTBdiufwcBMsG+n/e3/didmVyaW1xjcrT\nlvecn10XT1tnsfmmLrZKjQdzUVGRTMbwHXRtDU2RnTxtErIrEcwAjPvtRuHYdlIhbvt6FgGH6u1v\n39vfnulCrErjh13Hjh1Hjhz5559/1te3eO5qMFicp21CbhXTVQC0dUq1dhdu+wLmNN5jTk9PP3bs\n2MaNG+fNmzdy5Mhp06bFxMSYYvNisTHH06FpmqZp467TnJ4Lcp795z19/Vwul71/yOPYvlMasJr9\nQhAESZICgYDHM/4MP4ww4q7ZdS0/zEXS0dfZKGtrGYqisHcslnH3zpPTRzYezBwO54UXXoiLi9u8\nefN7773366+/+vv7r1y5slu3bkap4xHjzp/K5/NJkmTvdLntnLjZ5bXpheUuEp7VzPvL9p3SgNXs\nF4IgeDyeUqnEfMxP+jEh+5WOrszuaC6Xi71jsUy9dxo/lb158+Zhw4ZFRkbeuXNn//79paWlP//8\n89SpU01UBOjxaTLaTXI5r5rpQgDarlsPa7IqlMMw2hcwp/Ee84kTJ2bPnt2nTx8O5+8XxMbGfvHF\nF2YsrI2K97K9mC0faq7ZVwCggfXXH06MlvFpDI4LjGkYzBMmTNB/sW7dunXr1j1avnXr1vHjx5uv\nrrYqzsv289NZTFcB0EZVKNW775WeeimK6UKgTWsYzC+//DIjdYBeZ09JcolSrlRb0X0SAKyx+VZR\nVy9bPLIIzGoYzP369SstLf3pp5/ef/99Rgpq42z5nBCp4Epe9XAni5gWFKDt0OmIDTcKvxhgWdMt\nQBvUyM1fdnZ2mzZtSk9PN381QBBEvJdtAgbNBjC7Y+nlOoIwaE5DAFNo5OYvDofTrl279u3bd+3a\n9dGTZzt37jRvYW1XV2+77y9h0GwAc/vhcsErHd0wJzowrvG7sufOnTt37lwzlwJ68V62r/2ZqqjX\nMF0IQBtyr1hxs6Bm/agQpgsBeMpzzF27dpVKpRKJRCKR8Pn8JUuWmLmstsxJxPF14F/KkTNdCEAb\n8v2l/CkxMhs+zXQhAE/pMc+fP//gwYMPHz5s3759UlLS7NmzzVxWG9fV2/Z8VkVnVwzVC2AOBVX1\ne++Xnn/FJAMPAxiq8R7z0aNH7969O3/+/GXLll27du3OnTtmLquNi/eyPZdRznQVAG3Fmsv5w0Kd\nPO34TBcCQBBPC+aKigqCIDp37nzmzBkfH5+MjAzzVtXWdfO2vZwjr9PomC4EwPqV16o33Sp6s4s7\n04UA/K3xU9mjRo0aOnToxo0bFy5cWFRUJJVi2FizcpHwPOwE1/Or4r1sma4FwMr9eKWgp69dqLOI\n6UIA/tZ4j3nlypXffPONTCZbu3atWCxevXq1mcuCnn72F7LxNDOAaZUpVGuvPny7mxfThQD8T+PB\nTJLkrVu35s2b17lz53bt2gUEBJi5LOjp53guC8EMYFprrjzs6Wsb4YLuMliQxk9lL168+MqVK5mZ\nmSRJrl69+tKlS0uXLn3mulQq1YoVK6qrq318fKZPn97EQnimnv4Ob+xOqtPoMMsNgIk8rK7/5VrB\nwSkRTBcC8A+N95i3bt26fft2Dw8PDodz+PDhbdu2NWddCQkJ7u7uixcvLigoyMnJaWIhPJObDd/T\njn8tr4rpQgCs1penc0aGSXF1GSxN4z3m+vp6lUql/1qpVAqFwuasKzU1NSIigiAIPz+/1NRULy+v\npy1MTExUKpVcLtff398of4YeTdMkSXK5XCOukykURfX0s7+YW90rwInpWlrFmnYKQRAURVnN30IQ\nxKMJ162AobvmTmHN/uSyK292tMwdSpJkW947Fs64e0er1TZY0viq33zzzQEDBpSXly9dunTz5s1v\nvPFGc9auUCicnJwIgpBKpTU1NU0s3LRpU0FBgYODw7ffftuyv6RRJElSFCW2ihkTKYrqG+yy5mIW\n2/8ca9opBEFQFEXTVjI4FEVRAoFAp7OSp/IM2jVane7tw4nv9gnwd3EwaVUt1pb3juUz7t5RKpUN\nljQezO+8805sbOypU6c0Gs3PP//cqVOn5qxdJBKVlpYGBASU/j979xkQxbU2APjM9kJZYFlg6R2p\nCiqIDdDYNfYee2KuMUa9mqaJUdM0JtfEmJtEk2jsvWtUxIK9iwhIUarUBRbYXbZ/PzaXz+CCsMzu\nzKzv80vG2Zl358zsO+fMmXMkEmdn51YWNj2xrqqqMuV7tIDNZnM4HKnUGgaz5PP5XUXMm4W1JRUS\nPovCJ7Q1FQpCiM/nN91fUp2Dg0NDQ0NT2xjVtatott4rr5WrZkYIDGM2kJBAIJDJZK9m6ZAf7qVj\nY2Pz/J/GE3NFRUW/fv369evXrk0HBgbm5+d37969oKAgPj6+lYWgLRy5jCAh91pRfX9/AdGxAGA9\niqTKzy8Ubh8XwqQb72QDALGMn5ddu3YdNWrUkSNHVCpV27cVFxdXUlKydu1akUjk6emZnZ29YcOG\nZgtxCvtV0cdHcCmfpHf0AFCRTq9/93ju1M6iWA9bomMBwDjjNeYnT54kJydv27btvffeGzVq1PTp\n0zt3fvnw7kwmc9GiRU1/BgUFBQUFIYSeXwjapa+P/cqUAqKjAMB6rEktqlNqP+oDlQRAXsZrzAwG\nY9CgQRs3bly6dOnmzZsTEhKio6OvXLli4eBAnKddbrWiSm4lz5kAINbRLMnWe+VbxwSzoBEbkJjx\ns3PHjh0jRoyIiIhIT08/fvy4RCLZvHnztGnTLBwc4DFp3T3sLjy1kp5TABDo4tPaRSef/D4q2BNm\nkQLkZrwpOyUlZf78+UlJSU2vakVHR3/55ZcWDAz8LdHX/vyT2rFhMI8IAKY796R27pGcn4YHxHvB\nxDCA7Iwn5t9+++3FhRMmTDBzMMCIJD+Hn2+V6vR6GgZjcwLQbno9+uV26brLxT+PCIQXHAAlWM/I\nMtYqTMSjYdjDcnmUq5WM0QGAxWRXKT4887SsQXV0algoDL0JKAISM9lhGEr0tT//tBYSMwBtpNLq\nUgvqdqVVnMurnRPjuqS3J0wGAygEEjMFJPkJNt8pW9jDnehAACCeSqt/WqMob1DXNmrqlVqtXo8Q\n0ulQo55WI1OU1avzqhUPymTeAs7oUOHXA3yFPOsZohm8IiAxU0CSn2D+8VyJXOPEs1B5ldQp75XK\npI0aFxtWD09bSo8JCqyAXo9ultQfy5JcypfmSBQOXIabLcuBy+QyaKz/VYWFNhw2TRfoxB0Q4BAt\ntnGzZREbMwAmg8RMAfYcRqyH3dm8mokRzubeV2al/IuLhan50ggXvpDPLKxV5tc2To4UfdTHE9Iz\nsDyNTr8vver7a8UKtW5kqHBlP58ubnwBx8gPl5WNxgxeZZCYqWFgoMPpHLMn5l9ula5JLZrXXbxh\naIAD9+9zI1eiWHm+sM/mB1vHhIS7QPcZYDk3iuuX/vWETkPLE7yGBDnCiwngFQGJmRoGBjp8dalI\nqdWbqQ+LTq9fnpx/JrfmxBvhnf7ZeTXAibttbPDvd8pG73q0fWxIdxhhGJifRqdfc6lo6/3yZX29\n3ugsgpQMXimQmKnBR8Dxsmdfyq99zd8s08cuSy64UlB34o1wFxvjT+Zmxbg6cBlT92cdmxoWLIR6\nMzAjaaNm9uEcmUp7bmYkjNIFXkEwYCxlDA9xOppVbY4tf3+t5Gxu9f5JoS1lZYNRocJ/9/SYvDer\nWqExRxgAIIRK61VDtqWL+MwjU8IgK4NXEyRmyhgR4ngqu1ql1eG72bN5NRtvPNszIVTEf/lbJXO7\nufX0tnvvRJ5ej28UACCEULFUOWL7o/7+DhuHBbDgzWPwqiK4KZvD4eC4NQaDQaPR8N0mUeh0erMv\nEuXBEduxr5YoBgU54bWXgtrG+cfzNo0JDRO3dajC9SNCe/735o50yZxubXqv2poKBRkrF+rCMIzF\nYtHpZOlsX9GgGrs7c0yEy2f9/Uz4uDUVDUKIRqORqnQ6CEqnFRpN8zZIghOzWo3nhIYYhtHpdHy3\nSRQGg/HiFxkR4nTgYVk/X3xG4dfo9DP3pc+Mdk3ysWv7QWMi9MvI4FHb0/v52nu0oaXRmgoFtVAu\nFKXX6zUazYs/CoRoUGlHbktL8ndY1tfTtCNsTUWDSFY6HQel0wqdrnk7KMGJWavV4rg1w9fDd5tE\n0ev1L36RUZ2c+v+RtmaAmsfE4RnEmktFej1a0tO9vUcsUsSdHOm85FTujnEhL13ZmgoFtVAu1KXT\n6cjwdTQ6/cz9Wb4Czuf9vEyOx8qKRq/Xk6R0cAGl0y7QK5tK/B05oSLe0cyqiZGiDm7qzrP6TbfL\nzs2KYNBMeZL3YR/PXpsfnHhcPTTYsYOR4KW0XnX8cfXtknqJQuPEZUS68kd2cnK3g95DFPDpuXyp\nUrtlTDC8FgUAgs5flDMpUrQnvaqDG2nU6OYfz/skwctHYOJTHz6LvjLJ+7OUApWW+G5g0kbNx2ef\n9vj1fmqBtJuH7RtRom7uNnefNfT49f57J/IqZdbTgGaVdj+sPJZVvWV0EIcBP0cAIASJmXJeD3G6\n+6y+UKrsyEY+v1Doac+e3sWlIxsZEeLkZsv6+eazjmyk4+6XNiT9nlZar7o0J+rPMcFzYlxf7+Q0\np6vbb6OCbv8rWo/0vTffv/C0ltggQUvSy+XLzuZvGRPU+qt6ALxSIDFTjC2bPrKT8I+7ZSZv4UZx\n/Z6Hlf8Z7NfxVsPV/X1+uP6MwNeaLzytHbs789049z9GB3u90BNNxGf+MDTg20H+bx7O2XqvnJAI\nQSvqlJqZBx9/3NczRgzDyQHw/yAxU89b3dy236+Qq015oVmu1r17PHdFkjcuD1+jXPn9/ATfXSnu\n+KZMcP5J7exDOT8ND5gR3VrVf2iw4+EpYWtSi369XWqx2EBbLDyR10VsMzvGlehAACAXSMzUEybi\nhYl4ex9WmvDZ1RcK/Rw4Uzrcd6zJx329djyoKOpY07oJHpbL3jqS898RAQMCXj5GaZiId3hy2HdX\niveYdNCAOWy5W/6wXP7tIFNeWQbAukFipqS53dx+uvlMo2tfx6uLT2sPZlStH+qPY9dXbwF7QoTz\n2tQi3LbYBpUy9ZR9WcsTvNqSlQ2ChNyd4zotS86/CM+bSSCzUr7qQsGmkYG2bCsZQAMAHEFipqRB\ngY62bPru9tT/qhWa+cfz1gzwdcW7l82iePfjj6tzJAp8N9sSjU7/1pGcgYEO7e28Fi22+X6I/1tH\ncgpqLV2/B89TavVzj+Qsjvfo7GZDdCwAkBEkZkrCMPRRH69vrxS38W0lvR4tOJGb4Gs/shNuw3k2\ncbFhzYx2XWOpSvO3V4plKu0X/X1N+OzQYMfZMa7TD2Q1anAechy03Wfn8kU2rHmxbkQHAgBJQWKm\nqv7+Ak879vfXStqy8vfXS/JrlF8PMCWZtcX8WLcLT6WPKuRm2n6Tm8X1m26X/Toy0OQZDpb08hDZ\nsJadzcc1LtBWyXm1hzKrfhzmD2OJANASSMwU9u1gv//efJZV+ZJ0eCa3ZuP1Z1vHBPNZ5nqe58hj\nvtXV7JVmmUo771jO6n4+Jo+LghCiYdhPwwPO5NYczZLgGBtoi0qZesGJ3P8M9sf9eQoA1gQSM4UF\nOnEX9HCfdyy3lVenbhbX/+to7q+vB/o7mndql7e7u10vqrtX2mC+Xay6UBgs5E2KdO7gdoQ85o/D\n/JeeflpSBw+bLUevR+8ezx0a7Dg4iCzDuAJATpCYqW1BnNjTnv3m4WytsR7a55/UTtmX9e1gv0S/\nts7qaDI7NmNed7evLpmr0ny5QHooo+rbwfi8XdPXVzAxwnn+8TwdzCxtKZvulBbVKVcl+RAdCABk\nB4mZ2mgY9vOIQGmjZsyujIrnBoVWafXfXil+80jOj8MCzNHhy6g3u7o9LJNdK6rDfcsKtW7xqSer\nkrxxbAJd1tdLIlf/etv0MdRA26WXy7++VPTLiCAuHhOjAWDd8JxdSq1W//DDDw0NDd7e3jNmzDAs\nrKqqWrx4sUgkQggtWrTI3d0dxz0ChBCXSTs4OXRFSmH3n+8NC3YMcuI+q1edyq72FnCOTw0LceZZ\nLBI+i74w3v2LC4XH3wjHd8trUot8HDgdn1PreSw69t8RgcO3pyf42FvyKL2CZCrtm0eyP+rjFe4C\nxxmAl8Pz7vX69etisXjFihWlpaVFRX83aVZUVAwdOnTdunXr1q2DrGwmLDrtq9d8LsyO9HXgFNQq\nbVn0X0cGHZli0axsMDPa9Vm96kxuDY7bfFAm23a/whxDRIWJeAvixPOP56q18PaUGb1/+mmgE3cO\nDL0JQNvgWWPOyckJDw9HCPn6+ubk5Hh6eiKEKioqSkpKNmzYEB4enpiYaFhTJpNptVoajYbh+sqE\nYWv4bpMoGIa194v4OnCX9PI0UzxtxGZgH/T2/OJi0WsBDs+/D2Nyoai1uvdO5L7f28OrAz2xW7Gg\nh8eZvNr/XHv2Qe82HToTyoXMLPB1tt0vv1ZUd352FM2kmb/bziqLxmq+kTV9FwOzfiM8E7NcLndy\nckIICYVCmUxmWMjlcsPDw6Ojo9evX+/o6BgVFYUQmjZtWkFBgUgkOnnyJI4BGBhisAIcjnn7UZvJ\n230df7lTceyJfFZ3r6aFJhfKV+dybDjsDweG0832s77jjW7d/pM6Lsanm2ebushRtFyMsrOzM+v2\n7xZLP0spPDM3zt/d7N0PkXUVDTJ/6VgYlE5L5PLmr7zikJiTk5PT09Pj4uJ4PJ5EIvH395dIJM7O\nf7/TEhsba/hHUlJSdna2ITEfOHDAsLCqqqrjATRhs9kcDkcqleK4TaLw+fymmxvK+aSP+7snMvt5\nsPksekcKJUei+Opczsk3wmuqzfjOsQNCy/p6TNl2O2VWJIfxkoc7lC6XZhwcHBoaGtRq9ctXNUm1\nXD1qy8OP+3j48TT4XulGWVPRIIQEAoFMJjNf6VgYlE7reLx/PHbE4Rlz//79Fy5cGBcXFxgYmJ+f\njxAqKCgIDAw0/O/OnTvv37+PECosLHRzg0H4XgmJfoIIF14bRyVriVanf+9k3juxYgs8KZ/RxdXT\nnr0ipcDcO3p1aHT6OYdzennbz4JHywC0E56dv+Li4kpKStauXSsSiTw9PbOzszds2NC/f//du3cv\nX768tra2R48eOO4OkNnqfj6b75TlVTeavIUfbzxTanQL4sQ4RtUSDEMbhgUczZTg223tVfbR2aeN\nWt03MKsjAO2H6QkdYAGasltiBS0/X10qvF3ScHxGFxMK5VGFfPj29JNvhFuyY/npnJr3TuaenxXl\nZtvi29JWUC5NzNeU/dONZ7/dKTs9I0LIY+K+8ZZYU9EgaMomN9xLRygUPv8nvOwPzGVRvEeRVLnt\nXml7PyhX6948nP1Bb08Lv+41MNBhbJjz20dzjA6jBtpo/6Oq76+V7BrfyZJZGQBrAokZmAuHQftx\nWMDHp/Pya9o3VfP7p5/4OXLe6kpAj4RPE70Uat0XFy00haX1OZ1T8+GZp9vHhgQJuUTHAgBVQWIG\nZtTdw3ZON/dpux+0cd5ohNAvt0qvF9VtGBpAyEuPLDrt91FBu9Iqjj2uJmD3FHc2r2besdzfRgZ2\n87AlOhYAKAwSMzCvjxO8OQz6+6eftGXl0zk16y4Xbx8b4sDF8w37dvGwZ28aGbjwRN59c86UZX2O\nZknePpK7eWRgX19LvLIMgBWDxAzMi0mn7ZwcdblAuvZlszWffyqddyx388hAwkeu7uVtv6qf99T9\nj4ukMC9km/x2p2zJX0+2jwu2wDxmAFg9SMzA7IR81qHJYbsfVq6+UNhSv6pdaZVzDmX/8jpZ6ltT\nokRTo0RjdmWUN6iIjoXU1FrdR2eebrj+7NDksB6eVjVSFQBEgcQMLMHTnn1kStiFp7Vjd2fmSP7R\nF6y0XvX20ZwvLxbun9Spvz8psrLBh308BwQ4jNqZ8awecrNxpfWqUTszHpTJTk8PDxPBzFEA4IOw\nJ3ngVeNpzz41LWJtatHArQ+jxbZdXPkIw9LLGy4X1E2MdL44O9KRfG/XrO7nw6IXDtuWvnt8J+hm\n3Myxx9VLTuWNC3dekejFpMMtPgC4gcQMLIdFx5YneL0TKz6dU51eIWfQsMFBjj8MDXDmky4lG2AY\n+jTRy5nPHLot/Yeh/oODHImOiBTKG1QfnXl6+1nDz68HJfraEx0OANYGEjOwNAcuY2KkiOgo2uFf\n3d1CnHnzjuacya35Znjoq3zNqLS63+6Uf3uleGQnp8tvRtmxX+WDAYC5QAMUAC+X6Guf+mZUnVIb\n/t2VTbfLFGod0RFZmk6vP5RR1WvTg2OPJfsmdlo3yA+yMgBmApcWAG0i5DF/GxV0t0K18mzOuivF\nY0KdRoQIu7rbMMw2UTRJ6PXodG71mtQihVr3SaL3sCBH65rwHgDSgcQMQDv09nU4MiUsrUy2N73y\nnWM5EoUmypXfyZnn48AR8ZkiPtOBy7Rn0x15TB6T8s1Rej06k1vzzeWiGoXm3708xoc7W/1dCABk\nAIkZgHaLdOVHuvI/7+9TJFXeK23IrlI8qpCnNKgqGlRSpbZGoZGptGw65mLD8hJw/B05YSJeV3fb\nMBGPRp3K5tm8mrWpxdVy9eKeHuPDhdDvGgCLITgxMxh4BkCn0zEMw3ebRLGaL0Kj0azmu6AXysXX\nieHrxH9xNZVWV63QPKtTFkmVuRJFakH9usvFGj0aGOg4Osw5yU80tWTbAAAgAElEQVRAkgxNp9Nf\nnPg1Nb92VUp+WYNqSS/PyVEuVEnJ1nSaIYQwDDNaOhQFpdMKna55nxWCjxSdTsdxaxiG4b5NotBo\nNKv5IoaTmOhA8NHGcuHS6e4sprs9t5vn/y9ML284lln1wV95aq3uX3GeM2Pc+CwiDwuGYc2+TkaF\nbPmZvLSyhvf7eM+IcWNRJCUbWM0lY/Bi6VCaNX0XhHfpvJjgMWLvyKqqqnDcGpvN5nA4UqkUx20S\nxWrmFbemQkF4lItejy7m1/54o/RhWcOinh6zol1ZdGJqzw4ODg0NDYbJ3qvl6q9Ti/c/qpzbzW1+\nrJjYOwbTWM0lYyAQCGQymaF0rACUTuuEQuHzf1pP2wIAlIBhKMFXkOAruFFcvzKl4I87ZV8N8E0i\nbu4HnV6/40HF5xcKk/wEV97s7GbLIioSAIABJGYAiBHrYXvijfD9jyrnH8/t42P/5Wu+jhaf7DKr\nUrbgWLa0UbtlTDBMQQEASVDpGRIAVgbD0Lhw5ytvdmbSab023f8rp9piu1ZrdZ8n57z2+/0kP0HK\nrAjIygCQB9SYASCYA5exYaj/XznVi089OZNb83l/X3O/A/2oQj7/eI4Nh5U8q4ufgKQDlQPwyoIa\nMwCkMCjQ8dKcqPIGddLvD+6XNphpL2qt7tsrxcO3p48Lc774rx7BzjBXIwCkAzVmAMhCyGNuHxuy\n5V7ZmF2ZC3qI58eK6biOtPWoQv7u8Vw2g3ZmekSAExffjQMA8AI1ZgBIBMPQzGjXU9PCj2RKXt/x\nqKBWictmVVr915eKhm9PHxMmPD41LMAJ5pYGgLwgMQNAOkFC7l/Tw3t42iX9nrbpdpmuY4MNXMqX\n9v3twbWiurMzIt/BuxYOAMAdNGUDQEYsOm1ZgtfQYMeFJ/P2pld+PcAnRmzb3o08rWlcfb7gWlH9\np4neEyOcyTEMKADgJaDGDAB5dXazSZ4ZOS5cOGlv1qyDjzMq5W38YH5t4+JTeUm/p3kKONfndp4U\nCVkZAMqAGjMApMagYW91dRsf7rzxRunwbY+6iG0mRTi/FiCwYxu5eBtU2rO5NXvTK68V1U+KFKXO\nifKwZ1s+ZgBAR0BiBoACBBzGsr6eC+LE+9Irf7tbtuBEXoQLP1TEdbVhcRg0tU5fJFVmVsrTy+WR\nrvxRoU7/HREo4MDVDQAlwaULAGXYsumzYlxnxbhWKzQ3i+uyqhSVDepyjZpFxwIcuYMDHbu52zjy\nYMAQAKgNEjMA1OPIZQwKdBwUSHQcAAAzwL/z1+rVqxsbG5v+VKvV33777cqVK7ds2YL7vgAAAAAr\ng2dirq+vX7Jkya1bt55feP36dbFYvGLFitLS0qKiIhx3BwAAAFgfPBOzjY3NmjVrIiIinl+Yk5Pj\n7++PEPL19c3JycFxdwAAAID1wfMZM4ZhdDqdRvtHspfL5U5OTgghoVAok8kMC+fNm1dSUuLk5LRp\n0yZ8A8AwzMHBAcdtEoVGo7FY1jBlvTUVCrKickEI0Wg0W1tbfceGFSMPayoaBKVDbviWzvMPfw1w\nSMzJycnp6elxcXFxcXEv/i+Px5NIJP7+/hKJxNnZ2bBwyZIlSqWSyWTW19d3PIAmLBaLxWI1NJhr\nZh5L4nK5CoWC6ChwwGQy2Wy2dRQKsqJyQQjZ2toqFAqNRkN0IPiwpqJBUDrkhm/p6HQ6Pp///BIc\nEnP//v379+/f0v8GBgbm5+d37969oKAgPj7esNDPz8/wj6qqqo4H0IROp+v1eus4lXU6nXV8EWsq\nFGRF5WKg1Wqt5utYWdHo9XooHdIyd+mY8XWp7Ozs06dPv/322z/++OPatWtFIpGnp2ezdYRCIY57\nTE1NTU5OXrlyJY7bJBCXaw1TAF25cuX06dOrVq0iOhDcWEe5IIQWLFgwd+7csLAwogPBjdUUDYLS\nIbeFCxfOnj27WYcqHOGfmFevXm34R1BQUFBQEEJo0aJFuO/FKIVCIZFILLMv0EZyuRzfdhGAl/Ly\ncqUSn2klAe4qKiqgdEjL3KVjVZNYcLlcQ0czQB48Hg/fdhGAFxcXFzYbRtImKZFIBKVDWuYuHcxq\nev0BAAAAVsCqaswAAAAA1dE/++wzomMwoq6ubuXKlf369TPHxtVq9fr168+ePZufn9+5c2fDwtWr\nV8fGxjIYMHh4O3zyySf37t1r6mxv1OHDh58+fZqbm1tRUeHl5YXg+FuK0Yvo1KlTTQXxPCgUc0hL\nS/vhhx9SUlJSU1N9fHwEAsFLP7J161YbGxtHR8e2bB9KrYNIm2isvMYslxuZWL7ZKKFGRxIFL1Vf\nX69QKHJzc9VqdUvryOXykSNHDh48+PmFcPxJCAoFd2VlZX/++eeHH374xRdfvP322//5z3+avcj7\n4MGD/fv3m7Dlpp81KDWSwD3RkPquSiKR/PzzzwghNpu9aNGic+fOPXnyhMlkVlRU/Pvf//7rr7/c\n3Ny6deu2a9euqKgoFxeXZivfu3ePzWY3NjbOmTNHKBQuX778o48+4vP5OTk54eHh6H+jhCYmJq5Z\ns+bTTz8l+NtSzfXr12NjY8vKytLS0mJiYrZu3drY2Eij0aqrqxcsWJCammo4/qGhoc1ek4Djb0lH\njx59/jIxLPz666/hojC3c+fOjR492tbWFiHk6uoaHx9/48aNqKiojRs3IoT8/f1LSkqePXsWFha2\nb98+DMNsbGwWLFiAEDp06JBKpdJoNEuXLtXpdOvXr1epVE5OTvPnz2/6WVu4cCGCSwknJEw0pK4x\nV1dXjxkzZtmyZTqdrrKyEiHEZrNnz57t7e2dkZHx0pUFAsHChQtjY2Nv3bpVU1PD5XINo6s0GyXU\n6Eii4KWuXLkSFxfXrVu3q1evGpY4Ozu/+eaboaGhycnJ6H/H/8UPwvEnHFwUFlBeXu7u7t70p7u7\ne1lZ2aFDhwYMGLB8+XKFQtG7d+/4+Pg7d+706dPnk08+sbGxuX37NkLI29t72bJlYWFh586dO3Hi\nRN++fVetWuXu7p6amor+eVlBqeGChImGdEX44MEDhJChr7hAIDhz5sxPP/1UVFRkWGIYMozL5ep0\nuqaPaLVaoysHBgYihLp27Xr37t2rV6/27NnTsL5hlFCEkEQiaTYQGmijhoaG9PT0HTt2nD59+saN\nG4YiMJSOn59fWVkZ+t/xfxEcf3N7/iJqYigjA7goLEAoFBp+uA0qKiqcnJyKi4sN18WsWbM4HA5C\nqLS01DDeQ1BQUGlpqeEfCKGQkJDy8vLS0tLLly9v2LChtLTUxsYG/fOyglIzGckTDekS89atW2tq\nakpKSvh8/pEjRxISEubNmycQCAyH4PnbDTqd3tDQoNfrHz9+jBB6cWUmk4kQsrW11Wq1V65ciY2N\nNXzQMEooQqigoKCl5AFad/PmzZEjR3744YcrVqyIiIgw3FdmZ2cjhDIzM8ViMfrf8X8RHH9ze/4i\nanaZGMBFYQF9+/Y9cOCA4eljVVXVpUuXYmNjXVxc8vLyEEJbtmypq6tDCLm4uOTm5iKEcnJyXFxc\nDP9ACGVlZbm7u4vF4piYmHfffTc6OtrNzQ3987KCUjMZyRMN6Xpl83i8X3/99f79+1OmTBGLxUeO\nHLl9+7ZAIKioqODxeEwm09vb+8mTJy4uLoGBgTt27Lhx44ZAIAgJCXF1dTW6MkKorq5OKpUmJiYa\ndiEWi8+dO5eamioSifr27WtYeP78+T59+kBXxjbavn37sGHDDHNG6fX6u3fvMhiMgoKCy5cvV1ZW\nTpkypbCw0HD88/LymEymSqVis9mGzsBw/M3t+Yuo2WVSXV1tKAi4KMxNIBDY2dlt2rTp0qVLN2/e\nnDNnjlgs9vHx2blz5/nz5+3s7Lp27bpv376hQ4eeOnXqypUrOp1u9OjRT548KS0tTUlJqa6unjx5\nsr+//549ey5fviyTyRISEgzPPg0/awhKrQNInmheiQFGDh48KBKJevXqRXQg1mzr1q09e/YMCAgg\nOhDQJnBRAIAvHK8p0jVl4y4lJcUwKyXRgQBAFnBRAIAvfK+pV6LGDAAAAFCF9deYAQAAAAqBxAwA\nAACQCCRmAAAAgEQgMQNAGY2NjRiGubq6uri4iMXi2bNn19fX47LlGTNmjBkzBpdNAQA6CDp/AUAZ\njY2NXC7XcM3K5fIlS5aUl5cfOHCgg5uVyWRBQUElJSV4xIg0Go1UKjUMRggAMAHUmAGgJB6P9913\n36WmphYXF+t0uvnz54vF4tDQ0Pfee0+n082ePXvHjh0IIY1G4+XlVVFR0fRBvV6/YsUKf3//gICA\nlStX6vX6+fPnSySSmTNnNq1j9OPr1q3z9fUNDg5esWKFXq9/caeXL18eP358VFTUr7/+avHjAYAV\n0QMAKMIwb+DzS/r27ZucnJyWljZgwAClUqlUKgMCAjIzM0+fPj18+HC9Xn/q1KmRI0c+/5Hjx4/H\nxsY2NDQ0NDR069bt1KlT9fX13t7ez6/z4seTk5NjYmKqqqqkUumgQYO2bdv24k5TU1Pt7Oxyc3PN\nfRwAsG4wbBsA1IZhWERExLZt286ePXvz5s2ysrLGxsakpKTZs2fX1tZu27ZtxowZz69/4cKF6dOn\nG0bVnzp16oULF14cq+jFj1+4cKGmpmbChAkIoZKSklu3bk2dOrXZThFC8fHx/v7+FvneAFgtaMoG\ngKqUSmVGRkZQUNDVq1cTEhIyMzOHDh3apUsXhBCDwRg2bNiOHTuuXLkyePDg5z+l1+sxDDP8G8Ow\n52edavLix3k83ty5c5OTk5OTkx8+fLhu3boXd4oQgjmOAOg4SMwAUJJSqVy6dGmvXr08PDySk5OH\nDx++ZMkSFxeXzMxMtVqNEJo4ceKHH344atQoFov1/Af79u27fft2hUIhl8u3b9+ekJBgdPvNPt6v\nX7+dO3fW1dWpVKoBAwYcOXLE6E4BAB0HiRkAivHw8HB3d/fz86uvr9+yZQtCaPLkyffu3YuOjl68\nePE777xjmDKuV69edDp9+vTpzT4+bNiwhISEqKioqKioQYMGDRkyxOhemn28e/fu06dP79atW0BA\nQHR09JgxY4zuFADQcfC6FADW6e7du3PmzLl79y4hHwcAmAxqzABYoT179owbN27Dhg2EfBwA0BFQ\nYwYAAABIBGrMAAAAAIlAYgYAAABIBBIzAAAAQCKQmAEAAAASgcQMAAAAkAgkZgAAAIBEIDEDAAAA\nJAKJGQAAACARSMwAAAAAiUBiBgAAAEiEQXQA/yCTyYgOATGZTK1Wq9PpiA6k3Wg0ml6vp+IYq3Q6\nHSFkdGJgksMwDMMwip4tdDqdonM10ul0Kp4tCCEWi6VSqYiOwhTUPeYMBkOn05H8Im02kTm5ErNC\noSA6BMRmsxUKBRV/sDgcjkqlIvn5Z5ThpCRD6bcXnU5nMpmNjY1EB9JuTCaTz+dT8ZgjhCgdeX19\nPUUvUooeczs7O41Go1QqiQ6kNc0SMzRlAwAAACQCiRkAAAAgEUjMAAAAAIlAYgYAAABIBBIzAAAA\nQCKQmAEAAAASIdfrUgCYLK+6cV96ZXqFTCLXVMnUHvbsTs7czm42w4OduEy4AQUAUAYkZkB5KU9q\nv7lcnFUpHxbsOCzIUchnOfEYRVLlowrZn/fKlyfnv9HZZU6Mq5sti+hIAQDg5SAxAwqrVmiWJ+ef\nf1L7SaLXqE7C52vGXdxsRoQ4IYQelst+uVXae/ODlUneU6JExAULAABtAk18gKruPmvo+et9Goau\nvBk1OVLUUnt1hAv/x2EBO8eFfH+tZNLezEoZ9cZ0AwC8UiAxA0q6+LR2/J7MFYlePw4LcOQxX7p+\ndw/bC7OjXG1YQ/5Mf1pDvRE0AQCvDkjMgHqOP66edShn47CAiZHtaJrmMWn/GeI/OUo0dFv6gzLi\np0sBAACjIDEDirleVP/eibxtY4MHBjqY8PFF8e7L+nqN3ZVxr7QB99gAAKDjIDEDKimSKmcefLxm\noG+8l53JG5kSJfpqgO+kvZk5EkrOlgMAsG549spWq9U//PBDQ0ODt7f3jBkznv+v1atXL126lMPh\ntLIOAK1rUGmn7MuaGe0yNkzYwU2NDRM+q1OO25154o0wdzs2LuEBAAAu8KwxX79+XSwWr1ixorS0\ntKioyLCwvr5+yZIlt27damUdANrivRN5gU7cpb08cdnagh7uQ4Mc39j/uFFDvclxAQBWDM8ac05O\nTnh4OELI19c3JyfH09MTIWRjY7NmzZpPP/20lXXKy8s1Gg2dTmezia+7YBhGo9HodDrRgbQbjUaj\n0WgYhhEdSLsZYm79mO99WHG7pP7y3GgGA7ei+XKg38TdGYtPPfllZLBpWzAccyqeLXQ6HcMwKkaO\nEKJu5Agh6l6kFD3m5P9J1+ma1w3wTMxyudzJyQkhJBQKZbK/e70aipNGo7WyztKlS4uLi4VC4Z49\ne3CMxzQYhtnY2BAdhYm4XC7RIZjC8DvVym1ZibRxWXL+3jeifVw72ojdzO7p3butT92XJX0zztvk\njVD3sAsEAqKjMBEZbuJNY29vT3QIJqLoMccwjMFg8Hg8ogNpkULRvLMLnomZx+NJJBJ/f3+JROLs\n7Nz2df7880/DP6qqqnCMxzQCgUAmk6nV1BuGgsPhqFSqF2++yI/P5yOEmm7UmtHr0Rt7MseGOkU6\nYBKJBPe9/zLCf+yuTH9bLMqV397P0ul0JpPZ2Ei9F6OZTCafz6+trSU6EFPw+fyWzhaSEwqFNTU1\nFL1IKXrM7ezslEqlUqkkOpDWNLtvwPMZc2BgYH5+PkKooKAgMDDQ5HUAeN7uh5XFdcrlCV5m2n4X\nN5uP+3q+fTRHoabezyUAwPrgmZjj4uJKSkrWrl0rEok8PT2zs7M3bNjQ+jo47h1YpXql9ouLhV/0\n9+EwzPhq36xoV18BZ9WFQvPtAgAA2gjT6/VEx/D/oCm7I6yyKfuT5PyiOuWW0SZ2zmq78gZVn80P\nfhoR2M+vHY9doSmbENRtVhUKhdXV1RS9SCl6zCnRlC0U/qP3DAwwAsjrcZV8+4OKVf18LLAvFxvW\n2oF+i07m1TZqLLA7AABoCSRmQF7Lkwve7u7mZW+hvqCvd3KK87RbmVJgmd0BAIBRkJgBSV18WptV\nKV8Q527JnX7R3+dkTs3VwjpL7hQAAJ4HiRmQ1NepxYt7urc0y7KZOPOZnyZ4LT6Vp9SSqO8FAOCV\nAokZkNFfOdXlDaopUe2Y1REvkyNF7nbs768WW37XAACAIDEDEtLp9V9dLHq/tyeLTsD5iWFo7UC/\nn2+V5lVTr681AMAKQGIGpHMkU6LW6cd1eAopk/k7cubEuH589ilRAQAAXmWQmAG56PXo2yslS3p5\n0GlEDvS/MN4jW6I4mV1NYAwAgFcTJGZALn/lVDdqtCNCnIgNg8ekrUzyXpacD+N0AgAsDBIzIJcN\nN57Nj3VnEFpdNhgR4uTnwNlwvYToQAAArxZIzIBErhbWFdYqJxHRGduoL/r7/PdmaUkdqQfzAwBY\nGUjMgES+v1byVldXNp346rJBiDNvfITz5zC5BQDAgiAxA7J4VCG/86xhZrQr0YH8wwe9PZPzau88\nqyc6EADAqwISMyCLn28+m9bZxZZNJzqQf3DkMhbFu3+SXECmadgAANYMEjMghUqZ6miWZFa0C9GB\nGDGnq2uVXH0kS0J0IACAVwIkZkAKm24U9/d38LDURFLtwqLTPk30XnW+QAUDaAMAzA8SMyCeWqv7\n/XbJ3G5uRAfSomHBjm62rN/ulBEdCADA+kFiBsTb/7BcZMPq7mFLdCCtWdXP+7srxTUKDdGBAACs\nHCRmQLz/Xi+aH+9FdBQvESO27eVt9/01GG8EAGBeDKID+Ac2m/hHjDQajclk0mjUu2VhMBgYhul0\nFBtC8k5JfUFN4/goMdKqiY7lJVYPDOz98+158d6e/3sWTqPR6HQ6Gc7b9jKcLVSMHCFE0WNuwGKx\n9BTs4k/dY274SSc6itZoNM3b4ciVmLVaLdEhIL1er9PpyBBJezEYDK1WS7nEvPlW8Yyu7kwaalSR\n/Zj72LMmRbmsSs77eWSwYYler8cwjIpnC4ZhiBxXnAkoeoUaaLVaKiZm6h5z8v+kv3g+kCsxv3jj\nYHl6vV6r1ZIhkvZiMBgajYZaiVnaqDmcUXX9nVi9Xk+JY/7vePfYX+7dLZZGuvIRQnQ6nUajUSLy\nZjAMo8oxfxF1I0cIUfHuGVH5mFPxJ516DbbAmuxJr4z1sPV34hEdSFs58Rhvd3P7/EIB0YEAAKwW\nJGZApG33K6Z3IeOgIq2YFyvOqFRcfFpLdCAAAOsEiRkQ5mphnbRRMyDAgehA2ofHpC3p6bH6QiEF\nHxQCACgAEjMgzNZ75VOjRGSYerm9pnYWNai0hzOriA4EAGCFIDEDYtQoNH/lVE/tTLF2bAMGDVuW\n4P3lxSKVlnq9eAAAJAeJGRBj/6OqeC87sS2L6EBMNDzY0dmGufUuDNIJAMAZJGZAjJ1p5VOiRERH\n0SGfJHh9c7moXkne9yMBAFQEiRkQ4EGZrLReRbluX8308LTr4mbzw9VCogMBAFgVSMyAANsflE+I\nELHolD/9Vvf3++lacXmDiuhAAADWg/K/jIByGjW6wxmSyZHORAeCgyAhd0SocN2VYqIDAQBYD0jM\nwNKOZkkChdxgIWVG+2rd8iS//elVORIF0YEAAKwEJGZgabvSKidFWEN12cDdjj07xvXzC/CkGQCA\nD0jMwKKKpMq7z+pf7+REdCB4WtBDfL2o7mZxPdGBAACsASRmYFF7HlYOCXK0Y5NrWrMOsmMzlvTy\n/ORcPgzSCQDoOEjMwHL0erTnYeUEK2rHbjKji0jaqDmSJSE6EAAA5UFiBpZzvbhOqdX19rYnOhD8\nMem05Qleq88XqLRQawYAdAgkZmA5u9MqJ4Q70yk4a0VbDAt2EtuxNt8uJToQAAC1QWIGFiJX6449\nllhlO3aTz5K8118rqVZoiA4EAEBhkJiBhZx4LAlx5gU4cYkOxIxixLaJvoI1qUVEBwIAoDA8O8eq\n1eoffvihoaHB29t7xowZRhdWVVUtXrxYJBIhhBYtWuTu7o5jAIDM9qZXjQ+z5uqywYok716b7s/o\n4tLJ2UpGUAEAWBieNebr16+LxeIVK1aUlpYWFRUZXVhRUTF06NB169atW7cOsvKro6xBdb2obkSI\nI9GBmJ3YljW3m9vy5HyiAwEAUBWeNeacnJzw8HCEkK+vb05Ojqen54sLaTRaSUnJhg0bwsPDExMT\nDR+UyWRarZZGo2EYKboFYRhGkkjaBfsfogMxYv+jqgEBDk781mZfJmfkrTN6zBfGe8T9cu9sXi2Z\np88yxEzFY44oe4U2oWLw1D3mZP5hbAmeiVkulzs5OSGEhEKhTCYzulAkEoWHh0dHR69fv97R0TEq\nKgohNG3atIKCApFIdPLkSRzjMZmdnR3RIZiIz+cTHYJxBzIefj44xHAmtITLperj5xcP+5dDQ1cm\n54zp6kfyGbRaLxEy43A4RIdgIkdHqrYbUfeYM5lMGxsboqNokVwub7YEz8TM4/EkEom/v79EInF2\ndja6MDY21rA8KSkpOzvbkJgPHDhgWFhVVYVjPKYRCAQymUytVhMdSLtxOByVSqXT6YgOpLm0Mtmz\nusZuzrSWyteQ2Jpu5iiETqczmczGxsZmywd5cf7Lpn1+8uGCHiR9XsNkMvl8fm1tLdGBmILP51Px\nbEEICYXC6upqEl6kL0XdY25nZ6dUKpVKJdGBtIbH+0eXFDxv5wMDA/Pz8xFCBQUFgYGBRhfu3Lnz\n/v37CKHCwkI3Nzcc9w5Ia2965ehOTiSvO+ILw9AXr/l8f+1ZaT1M1QwAaB/jv5UVFRUmbCsuLq6k\npGTt2rUikcjT0zM7O3vDhg3NFvbv33/37t3Lly+vra3t0aNHx4IHFKDR6Q9mVI236teXjYpw4Y8J\nE36WUkB0IAAAisH0xsbd9/LyiomJmTFjxuDBg1ms1jrs4AuasjuCnE3ZyXm1n57Lv/pW51bWsb6m\nbIMahSbul3u/jw7u6UW6XgvQlE0IaMq2PEo0ZQuFwuf/NF5jfvLkydy5c/fu3RsUFLRo0SJD4zMA\nJtibXvkKVpcNHLiMTxK93z/9RKWl3g8xAIAoxhMzg8EYNGjQxo0bly5dunnz5oSEhOjo6CtXrlg4\nOEB19Urt6Zzq0aHCl69qpaZEigQcxk83YQBtAEBbGU/MO3bsGDFiRERERHp6+vHjxyUSyebNm6dN\nm2bh4ADVHXss6eJm42XPJjoQwmAY+naQ3w/XSvJrjTd3AwBAM8Zfl0pJSZk/f35SUhKD8fcK0dHR\nX375pQUDA9Zg78NXtx27SYgzb2a06/unn+6d0InoWAAAFNC889fEiRONrrd7924LRAOdvzqCbJ2/\niqXK+E3309+NsWO/5HV5a+381USh1vXadP+jvl5jw8jSqg+dvwgBnb8sj4qdv5r/Ys6ZM8eCwQBr\ntv9R5cAAh5dm5VcBl0n7fqj/7EPZfX3snflMosMBAJBa8x/N/v37I4Tq6+tTUlIUCgURIQErse9R\n1WdJ3kRHQRa9vO2HBDl+dPbp5pFBRMcCACA147WZ6dOnl5eXd+nSpWlJS03cABh1v7ShWq5J8LEn\nOhASWdXPp9em+8cfS4YFU3WEagCABRhPzI8ePcrMzKTRXqExFAG+9qZXjg4VMl+lYThfypZNXzvQ\nb/GpvHgve0cutPADAIwz/rvZuXPnggIYShCYSKPTH86UQH/sFw0MdOjnL1h0Mo/oQAAA5NX8tn3s\n2LEIodra2oCAgB49eri6uhqW79+/39KhAco6l1frwGVEuZJ0DkpiffWab+LvaXseVk6AGxcAgDHN\nE/PChQsN//jss88sHQuwFnvTK8eHQ9Yxjs+i/zgsYMq+rHgvO89XeOgVAEBLmifmXr16IYTmzZv3\n008/NS2cPn26YTkALyVt1JzNq1nVD/pjt6i7h+3UzqJ5x6XSqusAACAASURBVHIOTw6j0zCiwwEA\nkEvzxBwSEoIQKiwsTElJMSzRaDQCgcDScQHKOpol6Sq2dbeDumBrPurjOWzbo28uF3/Yx5PoWAAA\n5NI8MV++fBm9UGOGxAzablda5fQuLkRHQXYsOm3TyKD+f6T18LTt6wvXFwDg/zVPzIaBwX777bdz\n5841DTTIYDAMncIAaN3TmsaMSvmwYEeiA6EAbwF73SC/d47nnZ8VCcOBAQCaGH+ZctasWUql0s/P\nz/AnjUaDxAzaYs/DyuEhTnwWnehAqOH1Tk6XC6VvHs7ePymUAQ+bAQAIoZYSs0ajOXr0qIVDAVSn\n16N96ZXfD/UnOhAq+bK/z6idGavOF6zq50N0LAAAUjA+wEhAQEBNTY2FQwFUd6VQqkco3suO6ECo\nhEmn/T46+FCGZHdaBdGxAABIwXiNuaSkRCwW9+jRw9Hx74eFlhlgpGn6ZwJhGEan05vNhkkJdDqd\nwWAQOKPc3keSCZEiFrPdj0tpNJperydD6bcXjUaj0WgdjFxsz/htTMik3RmRYrtIVxu8YmsdnU7H\nMIyKxxwhRN3IEUJ0Op2Kox1T95gbftLJHPyLP9rGY503b968efPMH09zdDrxzyYxDKPRaGSIpL0M\n5x+GEfOoUqbSHsusSn27qwmHDsMwQ/DmCMysDIm545H39nVcPcBv8p6MlDej3Wwt8aaZIWYqHnOE\nEEWvUAOK3vdT95iT/yf9xfPBeGLu2bPn6dOnL1y4oNVqExIShgwZYv7YEEKIDHNZc7lctVqtVquJ\nDqTdMAxTqVRE1Zj3pVWGiXgefJoJhWi4mSVD6bcXnU5nMpm4RD453CmrvH78jrRjU8O5TLPXqHQ6\nHV6RWx6DwaBo5La2tgRepB1B3WPOZrPVajW1gjd+/a9cufLTTz8Vi8VeXl6rVq1auXKlhcMClLMz\nrXxylIjoKKhtRaK3qy3r7aM5Wh31alQAALwYT8zbtm07f/78ggUL3n333ZSUlJ07d1o4LEAtedWN\n6eXy10NgmuEOodOwX0YEPqtXfXDmKdGxAAAI02KLWdOjSir2UwAWtiutYgS8vowHPou+Z0KnK4V1\na1OLiI4FAEAM48+Yp0yZ0q9fv2nTpmEYtm3btgkTJlg4LEAhWp1+z8PKzaOCiA7ESjhyGXsmdBry\nZ7oTjzk7xpXocAAAlmY8Ma9cuTI2NvbChQsIoQ8//HDYsGEWDQpQSsrTWj6L1t3dluhArIeXPXvf\nxE4jdzziMGhT4Mk9AK8Y483Uhg5sUVFRUVFRUql0z549lo0KUMnOBxWTIkUEvaVltTo58/ZNDF15\nvmBfeiXRsQAALMp4jXnUqFE8Hs/T8+8J6Wg02sSJEy0YFaCMKrn63JParwf4Eh2IFYp05e8aHzJx\nTxYNw8aECYkOBwBgIcYTM4vFOnDggIVDAVS0K60i0VfgYsMiOhDrFCO23TkuZMr+LJVWPynSmehw\nAACWYDwxBwYGnjx5sl+/fk2jpZB5PDNAFL0ebb9f8SVUl82pm4ft3gmdJuzJVGp0M6Jhomvz0ur0\nGZXyzEp5VqVC2qixYdNZNCxUxOvmbuthb4kR2QBALSVmhNDo0aMNczMbFBcXWyQeQCWXC6VqnT7R\n157oQKxcZzebg5PDxu3OqG1UL4z3IDoc65ReLt/zsOJQpgQhFCrihTrzvAVsqVKr1Oq23itfeDLP\nmc+c3sVlapSLAxdqKcC8jJ9h165dk0gkfD7fwtEAavnzXvmUKBEN+n2ZX5iId/yN8HG7Miplms/7\n+8Ahx1FmpXz1+cI7pQ2jQ4VbRgd1NfZ+gUanT82Xbr5T9u2VkmmdRR/09oS39oH5GO+VHRQUROYh\nvwEZSOSa07k1kyPhZR4L8XPgnJwWfrlA+q9jOSotjNmJg9pGzbvHc4dte9TZjX/nX12+es3HaFZG\nCDFoWKKfYMe4kJRZkbmSxl6bH5zJhYlxgbkYrzFXV1d7eHj06NGjKT0fPnzYglEBCtj9sKKvj8DN\nFrp9WY6LDevo1LAZB7PH787YMiZYwIE2VdNdfFq74EReDy+7G293FvLaOlepnwNn5/iQI5mSRSfz\nRnQSru7nzaBB8wXAGWZ0ArLLly83W9KrVy8LRFNVVWWBvbROIBDIZDIqzi7F4XAsNnGNTq+P/fn+\nVwN8+/sLOr41w0MTmUzW8U1ZmGF2qcbGRkvuVKXVLTz5JK1Mtmt8iKepPZKYTCafz6+trcU3Nsvg\n8/kdOVu0Ov0XF4t2pFWsGeA7spOJA7xXyNQzDj7mMembRwa2/Q5JKBRWV1dTcXapDh7zl1Jq9fk1\nikKpUqnROXKZjlxGgBMXl5seOzs7pVJJ8tmlnu/RhVqqMVsmDQPqSnkiRQgl+UG3LwKw6LSNwwK+\nTi0csOXh1jHB3T1gzLV2qFdq5x7JqZCpzs+KFHegvUfEZx6eHLb4VN6grQ8PTAp1t4M+26aQyDVH\ns6oOZUhuFNc78Rg+Dhw2nSaRq6vk6kaNro+PfX9/hzGhQgtMhEoq0BQGTPHbndJZMa7Q7YsoGIY+\n6uMV6MSbtDfry9d8JkTAK85tUiRVTt6XFSzkHhuFw6TXLDr247CA1RcKR+3MODIlDB7rtIu0UbP+\nWskfd8tjPWwnRzpvGxts/8+Gh7zqxpQntXseVnx+oeDt7uJZ0S527FclYb0q3xPgKL+28VpR/X9H\nBBIdyKtubJjQ25494+Djx1WKZX096fCws1W5EsWYXRkTIpw/6uOF4y3lJwleOr1+5I5HR6aGucJI\nO22z9V75l5eK4j3tzs2M9HfkGF3H35Hj7+j6ZlfXW8X166+V/HKz9OsBvq+b+uiBWl6t9gGAi9/v\nlI3q5AQ9j8igm4ftmRkRl/Jrp+zLkjZqiA6HvNLL5SN2PHqrm9vHffHMygYrEr0HBjqM251Zp4Qi\neIl6pXb2oeyNN579OSb4j9FBLWXl53XzsN0xLmTj8IDPzhdMP/C4Uka9DkDtBYkZtI9CrduVVjk7\nxo3oQMDf3O3Yx98It+cwBm59mF2lIDocMnpYLhuzO+OD3p7vxIrNtIuVST6dnHlzDmVrdPAmW4sy\nK+X9/khDCJ2bGRnbzr4RSX6CS7OjnHiM/n+k3S9tME+AZEH/7LPP8NqWWq1ev3792bNn8/PzO3fu\nbHSh0XWayOVyvIIxGYfDUavVVOw2yWAwtFqt0W72ONqZVlHeoFoY747jNlksFkKIij3haTQanU7X\naAiuJzFo2LBgJ6VGv+BEXoATN9CJ+9KP0Ol0Fotl4f7keGGxWG0/WzIr5WN2ZXyS4D2tsxkHNMUw\nNCDQ8c/7FY8q5K/5O7S0Go/HUygU5r5IzaFdx9you88axu3OmBcrXt3Ph80wpU7IZtAGBjrashn/\nOprrYccOFfHa9Ck2W6vVarVaE/ZoMTzeP74LnjXm69evi8XiFStWlJaWFhUVGV1odB1AFTq9/udb\npW93h+oy6WAYmh8n3jQycNHJvK8vFeko+NNvDrkSxdhdGUt6ekw1/7TWbDr255jgs7k1f9wtM/e+\nKOdKYd2EPZmr+vm83a2jvx5To0S7xod8ci7/h2sluMRGQngm5pycHH9/f4SQr69vTk6O0YVG1wFU\ncTa3VqPVDw50JDoQYFyCr+DszMjTudVT9mXVvvKPnEvqlGN3Z/6ru3hOVwvdSjrzmVvHBH9+oSit\njHov5ZvP1cK6afsf/2eIH16vD3T3sD06Jey3O2VrUq2zdodn/x25XO7k5IQQEgqFTa+iN1todJ1p\n06YVFxcLhcI9e/bgGI9pMAyzs7MjOgoTmXt48817sxcn+IuccZ4bGMMwhBCH8/JuIOREqlHlnZzQ\n9fdc5u5PG/RnxoEZMZFuLZ7MGIYZLkYqeunZUi1XT/796tSuniuGhFgmJIMEJ6evhureOpp3e1Ev\ne46RAcUcHFps6CY5067Qh6V1Mw9lbxofOS4Kzwf8Tk4o9V3H/j9fx5jsNUM7tbImhmFMJtPGxgbH\nveNLoWjeNQTPxMzj8SQSib+/v0QicXZ2NrrQ6DrffPONRqOh0+lkGIfIzs5OLpcT/tTQBGw2W6VS\nme/x1f3ShgfPpNvHBuNeTFwuFxk7O8mPRqMxmUwSDiq0YYjvzzdL+vx49dsh/mPCjFRTmEwml8ut\nq6uzfGwdx+VyWz9bFGrdqB3pnV157/dwtfyvyqRQwdks7vTtt7eMbZ4wHBwcpFIpFZ8xv/SYG1Us\nVQ7a8uD93p6vefNwLwgHGjr2RviwP9PoWvX7fbxaWs3GxkalUqlUKnz3jiOdTtfsGTOeiTkwMDA/\nP7979+4FBQXx8fFGFzKZzBfXcXH5u1MGGYbk1Ov1Op2O5D0FjNL9j5m2v/F68fQurmyaHveDY/id\nouIxRwiR9mx5M8Y1XMSbcyj7TnHdiqTmQzrTaDS9Hv+itIzWI9fq9LMPZtuz6d8O8tXpiPmC3w3y\nS/o9bevd0hefbZv1IjUfE84WmUo7Yfej8eHOs6NdzHSmufDo+yeGDt2Wbs+mtfTAgoo/6Xg+Y46L\niyspKVm7dq1IJPL09MzOzt6wYUOzhc3+xHHvwKyKpMpT2dWzY8zYrxXgroenXfLMyNvPGsbuypDI\nqdcIZJrl5wrKGlSbRwUROL2ELZu+cXjAZykFRVLStaZYhl6P3juZ5+fIWda3xbosLrwF7H0TO31z\npeTAI+LrdXgxPokFUchQY4ZJLIxa8tcThNC6QX7m2DhMYmFWKq3+ozNPzz2p/WN0UBe3v5+0Wesk\nFv+9Wbrpdulf0yNE/LZOGGU+qy8U3i6pPzQ5tGnw2ldnEouNN57teFBxenqELdsSMwjfKqmfuCdr\nx7iQOM/mr0dTcRILGGAEvNyzetX+R1Xv9cDz3WVgMSw69u1gvyW9PMbuytz9sJLocMzo+GPJ+msl\nu8aHkCErI4Q+6O1Zo9D8evuVe3vqcoF0/dWSLaODLZOVEULd3G3XDfKdfiDraQ2p75LbCBIzeLkf\nr5eMCHE0eYZBQAZTo0R7J4Z8ebHwwzNP1Vrq1dhe6u6zhvdOPPl9VFCwsE3jTlgAi479NDxwbWqR\ndWSLNqpWaP51NPebQX5BwpcPdIOjUaHCud3Ek/Zm1igo/9QGEjN4iQqZemda5cJ4D6IDAR0VI7ZN\nnhmZXi4bsyuzUkbeTqomKJIq39if9eVrPj29yPWuY7gLb3a06+JTT8j0zNCM9Hr03om8RD97kye6\n7ohF8e4xYtu3juRoKT4wKiRm8BIbbzwbHOjg50DVl4zB80R85sHJoSHOvIRN9+4US4kOBx/SRs2k\nvVnTuriQc/rLJb09S+uVO9MqiA7EErbcK8uukn/1mi8he8cw9N0Qf2mjZtWFQkICwAskZtCa0nrV\nn/fKF/eE6rL1YNFpawf6ftDXe+CmW3vTKf/IWaXVzTiYHenKf78XSd/yYNOx7wb7rzxfUGHt0yJl\nVyk+v1D08+uBfJaFHi2/iE3HtowJ3p9euZ/KnbQhMYPWfHO5aFSoU1smRQDUMq2L6/FZXVedL/wk\nOZ+6EyLp9WjxqSd6vX79ED/cJ3PEUbyX3bBgx2VnnxIdiBlpdfp3T+S+Eytu6vlPFLEt64/RwR+c\nfvqwnHovehhAYgYtypEoDmVIlpK1IgI6KM5bcHZGxK2Shol7s6rllKzMrb1cdK+0YcuYYBad7D9l\nnyZ6Xy6oO5tN+SaKlmy88Uyj0y/oYa6JNdulu4ftsr6eMw48pmhHMLKfzYBAX14smh3j6mbLIjoQ\nYC5utqwjU8PcbJgDtj7MrCR+0tV2+fN++bb7FbvGdxJw8BzB0EwEHMaKRK/5Bx8qNVbYJf5xlXz9\ntZIfhwUQOKhLM7NiXOM87f51NIeKM61BYgbG3S6pv1pU924cKe5/gfmw6diGYQFzu4mHb3907HE1\n0eG01emcmtXnC3eND/Gizlt8EyJELrbsDdetbbJCrU6/4ETe/Fj3Ts5keVHNYN0gv7IG1Rfn8ogO\npN0gMQMjdHr9x2fzF8e721OhLgI67s2urltGBy39K++LixSYy/l6Ye28Y7mbRgZGuJBoXq+XwjD0\n05jIH6+XFNSSehSq9tp8p0ytJUsj9vO4TNqWMcE/XSs8m0uZO04DSMzAiO0PKho1utkxrkQHAiyn\nl7f92RmR5/JqJu8l9VzOjyrkY7c/+GaQb4KvgOhY2i3c1XZ6F9flyflEB4KbIqlybWrxf4b4k6cR\n+3k+As7msRFvHcyk1qDlkJhBc9UKzRcXi9YM9CXnlQbMx9OefXJauCOP+dofDzNI+cg5r7px3O6M\nla8FjA7FeVJwi1na2/N+aUNyHiVHKX/RB6efTolyjnIlb9PF0E7OM2LEMw8+VmrJ3hTUBBIzaG71\n+YL+foIenuQaQQlYBodB+2l4wNzubiO2PyLbm6CFUuXY3Rlvd3Ob3Y3Cw7bbsOgrkryXnX2qok6e\naMnhTElWlfzDludCJonliT72HMZHZ54QHUhbQWIG/3C9qP744+oVSd5EBwKINCfGdee4kM9SCt4/\nTZb8UVCrHLnj0eRI0QLqT6YyJlQosmH+dPMZ0YF0iLRRs+zs028G+fGYZM8jdBr26+tBKU+kOx5Q\nY/w1sh9QYEkNKu384zmr+/uQZHIeQKDuHrYpsyJzJIohfz4sJPr5XH5t48idjyZHipb2soZB6DAM\nrRno98O1kpI6Kj34bObzi4U9vOz6+VHjSb8Tj/H7qKBPzxXcL20gOpaXg8QM/t8nyflhIv5EUg44\nDCxPxGfun9gpyU/Q7/e0I5kSosLIrJQP3/bojSiXJVaRlQ1CnXkTIkSfpRQQHYiJbpfUH8qQfN7f\nh+hA2iFabPNpotesQ9nVpB91BBIz+NuZ3JrTuTXfDvYjOhBAInQa9nFfr80jA5cl5y88mSdXW3pw\njKuFda/vePReD/HinpRvwW7mg94eqQXSK4V1RAfSbhqdfslfTz7s7eFqQ7HRh6Z3centbT/nUDbJ\nh6GFxAwQQuhZvWrhybxvB/kJedCIDZrr6yu4ODuqUqZO/O3BrZJ6i+33YEbVG/sffzfYf05XN4vt\n1GIEHMbHfb0+OvOU5EniRZtulzHptJnRlHyd8ptBfgqNjuRtFZCYAVJq9TMOPB4f7jw4yJHoWABJ\nOfEY28eGzI8TT9qbtep8obnfPNHo9CtSCpYn5+8YFzIs2GpPy6lRIhYd23KvnOhA2qGkTrnucvG6\nQX50ar5OyaJjf4wOOpwp2fOQvOOWk2tcJ4wcE8RgGEaSSNoF+5/2fvDfp3IFXManid7EfutX6pgT\nzhBzuyLHMDSti2uCr2Dhybzem+6vHeiXaJ6OPxUy9dzD2TK19tysKHELQ7VT8Zg3aQqejmFfD/Cb\nvC9zdKizE49cv8YvMoS9PLlgQoRzZ6KnkGq7Fy9SN1v2ltHBE/Zk+jtyu3nYEhhbSzA9mYbfk8mI\nn6WLy+WqVCqtVkt0IO3GZDI1Gk17C/T7K4Wbb5ZcerubA5ew3wUWi4UQUqlURAVgMhqNRqPRNBqy\n9yV5EZ1OZ7FYCoXChM/q9WhPWtlHf+X29hWsfs3f2wHPWUH3PSxfciJ7TLjoq0GBbIbxJj0Wi0XF\nswUhxOfz5XJ5s4t07qFMBg3b+HoIUVG1heGYn86WvHMk6+6CWDs22W8jmnA4HI1G8+JFuiet/MNT\nOeffivHB9QQ2gUajsbe3f34JuRJzVRXxAxoIBAKZTKZWU28WPA6Ho1KpdLp2dM/Zcrd8TWrRkSlh\nQUIiT00+n4/IcVvWXnQ6nclkNjY2Eh1IuzGZTD6fX1tr+vhTtY2atalFO9Mq34gSLYp3d+xw74SC\nWuWn5/Iflsv+M9ivb6vDbfL5fCqeLQghoVBYXV3d7CKtlKnjf72/e0JIjJiMtTcDPp9fVVvfa9P9\n5Qleoyg17JqdnZ1SqVQqjbyZtja16GhW9clpYYTfZwiF/zik8Iz51bUrrfKrS4X7J4USm5UBRQk4\njC9f870wO7Jcpo75772Pzz41+XVniVyz7Gx+398eeNmzL86Oaj0rWx9nPnNJL4+PzuSTfPqQb68U\n+ztxqZWVW7e0l2eYiDfzYDZJRtFpAonZQuRqXbFU+aBMdruk/kGZ7EGZLLtKIZFriLoS/7hbtiIl\nf+/E0DARuWZqA9TiI+D8+nrg2RkRSo2+96b7k/dmHcyoUrT5rarbJfXzj+dG/3RHolBfmhO1ur+P\nLZtu1oDJaXaMa6NGR+ZxqTIqZL/fLVs70JfoQPCEYWjDsAC9HpFt2mZoym4Or6bsIqnyWlHd7ZKG\n7Cp5VpVcItfYsOgO3P+fGEKu1lUrNDQM8xawAxy5wUJuZzd+FzcbdzsT55dtY1O2WqtbllxwNq9m\n+9gQkmRlaMq2vI43Zb9IItcczKja/6gyq1Ie62Eb723fzd3WR8B2tWE19eBVqHX5tY1ZlfJL+dIL\n+VKVRjc5UjSti4tne6ZVtrKmbINrRXUzDmZffbMzCXuB6fT613dm9fOzW0jB8VBbaco2qFdqR+58\nFCO2JfC2o1lTNiTm5jqSmDU6/fWiulPZNX/lVFfJ1V3dbWM9bDuJ+IGOHD9HLotupB9ppUz9tKYx\nt1qRUSG/V9rwsFwm5DF7etv38rJL9BO0a2jMtiTmYqny3RN5Kq1uy+hgZ9KMuwmJ2fLMkZibFEmV\nlwvqrhbVPShtKKht1OhQ03DKtY0aVxuWvyOnp7d9gq99FzcbEyYxs8rEjBB693guQmjDsADLBvVy\nf94v33ynInlGGItOvUbWlyZmhFCVXD30z/RhIU6fJBAzIQck5pcwLTFnVMp3p1Xsf1Rlw6IPCXIc\nFOjY1d2UXxyNTn+/tOFygfRyYf31QmmQkNfP36G/v6Cr2Oalbw22npg1Ov3mO2XfpBZPinT+NNHb\n6F0CUSAxW55ZE3MzErmmQfX3aw4uNkxOC32t285aE7NEronfdH/r6OA4TxL1AitvUPXe/GDf1M5R\nQrLcyrdLWxIzQqikTjlyR8awEMcViQRM4QOJ+SXalZhVWt3RrOrf7pTlShSjw4Tjw/+vvXuPaupK\nFwC+c0IeJAESEgImIhISHioPsSIiFx8DHS2tFp1rWbc+8NHH2HGKndbWe632MVOFOtYLXjvq0lE7\nPsY7Hav0LnstDm0VoaAXtEIhEQUhJCUEQ4h5P+4fzGLRqBhCzDmHfL+/WDvnJN/6SM6XvXP23gIf\n3ldptDmr7/ZXtukqb93TWxxzY8MWSLjzY7kTHjGz81GF2epw/b1Js69ORaNS/rhQQsAJiFCY/c+f\nhdnnxmthRgh91vjTgavqf6xJphGmb7rm73IBO2jf0mSS5tzDwowQ6h6wFhxvWhgf/t78GD/Pk3cr\nzIT7MYMs7pnsRxp+OnhVJQqhr5sxoWAKf+z9ADcsGpYXx8uL46GnY1t7jRfbdGeatZu/uj2Jy8yM\nDsmMDk2JZEv5wY/ql1scrpq7/VV3+v92UyMOZRRniRcn8r3oxAMA/ObFVOHJG5ryWhVB1gb/srXv\nWvfA5ZdS8Q7EH0Qh9C9enLrsZHOfyb57YSyO342gx+zusT3mrn7Lvrrukzc0OZPDNswSzfLvwjEW\nh6u+S1/TOVCvHLihNhgsDkl4sDiUHsGmMWk0p9Ppcrk0RlvHPfPte+ZJXMb8WO6SJP5MMYFGxh4E\nPWb/gx4zLh7bY0YItfYaFx27+b+rk2V8nOcx6sz27IPX/7hQ8ksZj7w597zHPOieyb7q8xZGEPVw\ngcxv85thKPsxRijM8l5Tea2yorWvIIn/m0xxXDjT/+G5URust7Qm1YBVbbAO2JDT6aRhKDqMMSmM\nIeUHk2XvFyjM/geFGReeFGaE0MeXu765o6tYMRXDdeXRjV/esjhcB5bIEJlzPtrCjBCyOlyvVSha\nek2Hno/3zzIPMJTtjWvdA2U13d+1969ME9a8nPaoX3n9L4pDH6q+Xqz8BQAgoNdniypatIevqXHc\nVusrRd/F27pL69PwCgBHdCrlwJL48lrlomM3/5AbU5gi9HMAUJhH4nS5vr6l21fX3aIxrn9qwieL\nJGNfdxAAAEZGp2KfPCN54a8tedLwGK6XCxuMRZ/J/sb527sXSQg4qdo/KBT029ni2ZNCXz6rqLyt\n+33uZH8OQBLlxj+i0Znt++tVWQca373Y/nwSv/G1GW9lT4SqDADwjxmikDXTIzdUKBx47Nb8u/Nt\nuXHchbJxu+Gmh2aKQ6rWpnCZQdkHr++vV9kcfhqPhML8M3an63yL5pUvWlP3Xvvmju79BZNrX0lb\nkx4VTINEAQD8avO/TDTbneW1Sj+/7qkfNNfV9/+QO65W3/Qalxm0a6Hk9AtJnzf1zvxT4/56ldHj\nFWe9Np6HKYw25/JTzU9Lec8m8iW8kW7U6rlv+/aO7ps7/ZVt9yI4jGVTBZdeSps0mjUCAQDAt2hU\nbN9z0meONf0ijpccyfbPi8p7Tf/xdfuJ5YmBuWj5o6SLOBeKkqtu68pru002R3HWxCf6cuO5MAdh\n6JUMUUWLdk+NkkHFpkWyEwXBvGAam45hFMo9k+2eyd7WZ/pRY+oz2WeKOfNiw36dMTU7QUTSbR8B\nAONMgoC1ZW70y2cVXxclc+hPvFKa7c71X8g3Zk7w8yxQspgv4c6XcP2w3cV4Lsx0KvZcQvhzCeF2\np0uhNTX1GBVao8Zou6NzOJ0uLjMonEVLF3GmCNkyPpOMa8ACAMa9delRVzr6X/+ftkMF8U/6tf79\n6ztRIfTfknCnCn/ywxy28VyYhwRhlKQIVlIEIXZSAgAAz1Eo6D/zpXlHbuyvV70y8wnOnvrL9Z7K\nNt0/1qbgO3kaILj5CwAACC6EQf3z0oTSS121nQNP6CWu3NVvv9jx2a8SBTD3hACgMAMAANElRbB2\nL5Ks/rzlltbk8yfv0FnWnmn95BlJapSfbjEDI/PlULbNZisrKzMYDDExMUVFRQ9t7O3tfeONN4RC\nIUJo06ZNYjH8mAEAAI+3JInfpbe88Ncfz69OHtVO2DYuXwAACdlJREFU7SPT3LcVnv5x/YwJixP5\nvnpOMEa+7DHX1taKRKLt27erVKrOzs6HNvb09OTn5+/atWvXrl1QlQEAwHOvzRL9Usb7t9M/9pvt\nPnnCPpN92cnmebHc3815svN/wKj4sjArFIq4uDiEUGxsrEKheGhjT0+PUqksLy+vqqry4UsDAEAg\n+H3u5HgBa+nJZq1xrLVZZ7YvO9n0lJjzUe5kuN+LUHw5lG00Gvl8PkJIIBAM7UPi1igUCqdNm5ae\nnr5nz57w8PDU1FSE0ObNm1UqFY/H2717tw/j8Q6VSuVwOITadMtDGIYxmfhveOUFDMMQQjQa+e46\noVAoFAqFjGmnUCgYhnG5XLwD8QaGYWR8twwKDQ0d4zP8ZcWM35xpev5k81frM8RhXr737vSZlhz/\nIWMS78Cvkj25DZu8OadSqVQqNTgY5z00R/Dg9nQ+KMyVlZU3b97MzMxksVharTYuLk6r1UZERAw+\n6tY4a9aswfYFCxbI5fLBwrxixQqz2Uyj0YiwrRiHwzGbzXa7b0aK/IlOp9vtdjLuLjVY2Mi4eeLg\nZ95qteIdyKgFBQUxmUwifOK8wGQyyfhuQQiFhYUZjcaxf+8vfTp2W6Vrzt4rh5clzooOG+3pNXf1\nK/+7af1TordzYkxGoyenkDfnbDbbarUSec2oBy/aPijMubm5ubm5CCGbzdbe3p6RkdHR0ZGVlTX4\nqEwmG9544sSJKVOmpKWl3b17VyqVDh6TkpIy+AcR9mN2uVx2u53I/8VHoVKpNpuNjIWZTqcjhMiY\n88FskzFyhJDL5SJp5HQ6naSRI4R89e1527zoeD7zX080vT5btDFT7OFYtM3h/K86VXlN966FsQVT\nBHa7p2kkb86dTqfD4SBX8L78jTkzM1OpVJaWlgqFwujoaLlcXl5e7taYm5t76tSprVu36nS62bNn\n+/DVAQAgoBQmR5xfNe1vTb35n928clf/2OPrugZ+8ecfLijufblyasEUgR8iBN6hEOrHVCL0mLlc\nLknXymYymVarlYw9ZjabjRAi47AqlUql0WhkHOKj0WhsNlun0+EdiDfYbDYZ3y0IIYFA0NfX59sP\nqdXhOtrw0ydXuqZFslekCufFhoUyfjYUarY7z7VojzT8dEtr2pITvXp6pBdre5E356GhoRaLxWKx\n4B3ISASCn31PCoglOQEAYLyiUykvPRX1YqrwyP+p/1Sv+vU5ReoEjpBNC6FTzXZnS6/pltaUNoGz\nenrk80l8ZhAsKkUCUJgBAID0WDRswyzRhlmiPpO9rkvfZ7LrLQ4aRilKj5oSweIFw6WeTOC/BQAA\n40d4cNBCWTjeUYAxgWENAAAAgECgMAMAAAAEAoUZAAAAIBAozAAAAACBQGEGAAAACAQKMwAAAEAg\nxFr5iwiKi4vXrVuXnJyMdyAB5MiRIxiGrVq1Cu9AAkhjY+OxY8eIsJ9bQCkoKDh69OjYN5gCnnv/\n/ffnz5+fk5ODdyCjAPOY3fX09BB88bbxR6/XU6lUvKMILBaLRaPR4B1FwFEqlWRcNJfUtFqt0bMd\ntIgDCrM7oVDIYDDwjiKwhIaGDm7JDPyGwWAM7c0K/EYsFsNb3c/4fD6LxcI7itGBoWwAAACAQOC7\nGwAAAEAggTiUbbPZysrKDAZDTExMUVHRYOOHH3741ltvMZlMhJBarW5qampsbBw6xmg07tixw263\ns1iszZs3w1j3aHmR84GBgY8//thsNicmJq5duxbP6MnJk5zL5fKcnJyhRqfTefDgQY1GExoaunHj\nRsroNwcEnqS9oaHhypUrQ9cTo9G4c+dODMOEQmFxcTGkfbQ8yXltbW1NTc1Qku12+4OnEEcg9phr\na2tFItH27dtVKlVnZ+fAwMCbb75ZX18/dMC1a9esVuvwY6qqqlJTU3fs2BEXF/fdd9/hGDxJeZHz\nioqK7OzskpISjUbT0dGBY/Ak5UnOZTLZ8MarV6+y2eytW7dOnz5drVbjFDi5eZL2/v7+4deTCxcu\n5OXl7dixw2KxtLW14Rg8SXmSc61WOzzJbqfgGPxDBWJhVigUcXFxCKHY2FiFQsHhcEpKSobPjzIY\nDCqVavgxUql03rx5CKGQkBAajYZT4CTmRc7VarVEIqFQKDKZTKFQ4BY6aXmS86ioqOGNzc3NDoej\nrKzMaDRGRUXhEzfJeZL26dOnD7+ezJ07Nysrq7e3V6/Xc7lcvCInL09ynp+fPzzJbqfgFvojBGJh\nNhqNfD4fISQQCO7fv0+hUKhU6tCtkkajkcViuR2TkJAgEAjq6uqqq6szMjLwjJ6cvMi5RCKpqqpS\nq9XV1dUGgwHP6MnJk5y7NRoMBrVaXVhY+P333zc0NOAWOpl5kna360lUVBSGYSUlJS6Xi81m4xo+\nKXmSc7cku52CZ/QPE4iFmcViabVahJBWq33wY9DQ0JCenu52jMvlOn369OXLl7du3Uq6O++JwIuc\n5+fnh4SEnDp1Kjo6OiQkBIegSc6TnLs1stnsvLw8oVCYk5MDY6re8STtbtcTp9PJYDBKS0snTpxY\nXV2NR9Tk5knO3ZI88im4C8TCLJPJ2tvbEUIdHR0ymczt0a6uLpFI5HZMTU2NwWDYtGkTh8Pxe7zj\ngRc5l8vlKSkpxcXFZrM5KSnJ7yGTnic5d2uUSqWDw3q3b9+OjIz0S5jjjSdpd7ue7N27t7W1lUKh\ncLlcmOXsBU9y7pbkkU/BXSC+CTIzM5VKZWlpqVAojI6OHv6Q0+nEMIxCobgdc/369cbGxnfeeeft\nt9+Gm7+84EXOJ0+efPbs2Y8++kgqlT5YQsBjeZLzB09pb2/fsmVLb2/vnDlz/Bjs+OFJ2t2uJwUF\nBYcPH962bZtSqczOzsYrcvLyJOduSR7hFCKABUYAAAAAAgnEHjMAAABAWFCYAQAAAAKBwgwAAAAQ\nCBRmAAAAgECgMAMAAAAEAoUZgEC3c+fOPXv24B0FAOCfoDADAAAABAKFGYBAZLVaX3311ZiYmIyM\njBs3biCE+vv7n3322YkTJ0ql0osXL+IdIACBCwozAIHo0KFD7e3tcrm8oqLi8uXLCKHjx4/zeLzO\nzs5PP/303LlzeAcIQOCCwgxAIPr22283bNjAYDAiIyOXL1+OEMrKyrp06dK7777L4XDgJ2cAcASF\nGYBANHytbCqVihBKS0traGgQi8Xvvffe0qVLcY0OgIAGa2UDEIj2799fUVFx5swZvV6fkZGxcePG\n/v5+h8PxwQcfdHd3x8fH6/V62OkIAFwE4R0AAAAHa9asaWhoSEhIiIiIWLlyJY/HW7x4cWFh4dGj\nR2k0Wnl5OVRlAPACPWYAAACAQOBLMQAAAEAgUJgBAAAAAoHCDAAAABAIFGYAAACAQP4f0aMSov5u\nAR4AAAAASUVORK5CYII=\n"
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%%R -w 9 -h 9 -u in\n",
"m <- prophet(weekly.seasonality=FALSE)\n",
"m <- add_seasonality(m, name='monthly', period=30.5, fourier.order=5)\n",
"m <- fit.prophet(m, df)\n",
"forecast <- predict(m, future)\n",
"prophet_plot_components(m, forecast)"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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35WDCd0fwzv/O4N99W2F8UiCsuCeR/oIkPyGDBw/Ghg0bpFi1yeoS5o6jU5PR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\nAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f490bf03978>"
]
},
"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 1.204883 0.9637205\n",
"18 2014-02-03 1.853620 0.9923552\n",
"19 2015-01-11 1.204883 0.0000000\n",
"20 2015-01-12 1.853620 0.0000000\n",
"21 2016-01-17 1.204883 0.0000000\n",
"22 2016-01-18 1.853620 0.0000000\n",
"23 2016-01-24 1.204883 0.0000000\n",
"24 2016-01-25 1.853620 0.0000000\n",
"25 2016-02-07 1.204883 0.9637205\n",
"26 2016-02-08 1.853620 0.9923552\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>1.204883</td>\n",
" <td>0.963720</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2191</th>\n",
" <td>2014-02-03</td>\n",
" <td>1.853620</td>\n",
" <td>0.992355</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2532</th>\n",
" <td>2015-01-11</td>\n",
" <td>1.204883</td>\n",
" <td>0.000000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2533</th>\n",
" <td>2015-01-12</td>\n",
" <td>1.853620</td>\n",
" <td>0.000000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2901</th>\n",
" <td>2016-01-17</td>\n",
" <td>1.204883</td>\n",
" <td>0.000000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2902</th>\n",
" <td>2016-01-18</td>\n",
" <td>1.853620</td>\n",
" <td>0.000000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2908</th>\n",
" <td>2016-01-24</td>\n",
" <td>1.204883</td>\n",
" <td>0.000000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2909</th>\n",
" <td>2016-01-25</td>\n",
" <td>1.853620</td>\n",
" <td>0.000000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2922</th>\n",
" <td>2016-02-07</td>\n",
" <td>1.204883</td>\n",
" <td>0.963720</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2923</th>\n",
" <td>2016-02-08</td>\n",
" <td>1.853620</td>\n",
" <td>0.992355</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" ds playoff superbowl\n",
"2190 2014-02-02 1.204883 0.963720\n",
"2191 2014-02-03 1.853620 0.992355\n",
"2532 2015-01-11 1.204883 0.000000\n",
"2533 2015-01-12 1.853620 0.000000\n",
"2901 2016-01-17 1.204883 0.000000\n",
"2902 2016-01-18 1.853620 0.000000\n",
"2908 2016-01-24 1.204883 0.000000\n",
"2909 2016-01-25 1.853620 0.000000\n",
"2922 2016-02-07 1.204883 0.963720\n",
"2923 2016-02-08 1.853620 0.992355"
]
},
"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": {},
"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": {},
"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": {
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txguzytWDvr80LqHVwt6hFq+qYTRN0zSt0WhsvN0WanZTM4imaR6P18K92va4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\nTkSuQmCC\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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GtOH/0RIR3cr1IPhip2Ak77+Iz3ecx+gVf84I8v2T7kQvUysDBgzAhg0b9DGU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\na0OHIkSjdl2zgOvq6khNTSU1NRVXV1ciIyP58MMPGTFihL7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rDp3h338cZ3iUB4918ZWF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\nEZHO/H9IkFmNEXKZzAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f490a9a70b8>"
]
},
"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 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.5.3"
}
},
"nbformat": 4,
"nbformat_minor": 1
}