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",
"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": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"WARNING:rpy2.rinterface_lib.callbacks:R[write to console]: Loading required package: Rcpp\n",
"\n",
"WARNING:rpy2.rinterface_lib.callbacks:R[write to console]: Loading required package: rlang\n",
"\n",
"WARNING:rpy2.rinterface_lib.callbacks:R[write to console]: Disabling daily seasonality. Run prophet with daily.seasonality=TRUE to override this.\n",
"\n"
]
}
],
"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 include 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": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"WARNING:rpy2.rinterface_lib.callbacks:R[write to console]: \n",
"Attaching package: dplyr\n",
"\n",
"\n",
"WARNING:rpy2.rinterface_lib.callbacks:R[write to console]: The following objects are masked from package:stats:\n",
"\n",
" filter, lag\n",
"\n",
"\n",
"WARNING:rpy2.rinterface_lib.callbacks:R[write to console]: The following objects are masked from package:base:\n",
"\n",
" intersect, setdiff, setequal, union\n",
"\n",
"\n"
]
}
],
"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": "code",
"execution_count": 4,
"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": "markdown",
"metadata": {},
"source": [
"Above we have included 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": {
"output_hidden": true
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"WARNING:rpy2.rinterface_lib.callbacks:R[write to console]: Disabling daily seasonality. Run prophet with daily.seasonality=TRUE to override this.\n",
"\n"
]
}
],
"source": [
"%%R\n",
"m <- prophet(df, holidays = holidays)\n",
"forecast <- predict(m, future)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"m = Prophet(holidays=holidays)\n",
"forecast = m.fit(df).predict(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 1.219683 1.201974\n",
"18 2014-02-03 1.898971 1.460981\n",
"19 2015-01-11 1.219683 0.000000\n",
"20 2015-01-12 1.898971 0.000000\n",
"21 2016-01-17 1.219683 0.000000\n",
"22 2016-01-18 1.898971 0.000000\n",
"23 2016-01-24 1.219683 0.000000\n",
"24 2016-01-25 1.898971 0.000000\n",
"25 2016-02-07 1.219683 1.201974\n",
"26 2016-02-08 1.898971 1.460981\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>1.217571</td>\n",
" <td>1.230312</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2191</th>\n",
" <td>2014-02-03</td>\n",
" <td>1.898042</td>\n",
" <td>1.466063</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2532</th>\n",
" <td>2015-01-11</td>\n",
" <td>1.217571</td>\n",
" <td>0.000000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2533</th>\n",
" <td>2015-01-12</td>\n",
" <td>1.898042</td>\n",
" <td>0.000000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2901</th>\n",
" <td>2016-01-17</td>\n",
" <td>1.217571</td>\n",
" <td>0.000000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2902</th>\n",
" <td>2016-01-18</td>\n",
" <td>1.898042</td>\n",
" <td>0.000000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2908</th>\n",
" <td>2016-01-24</td>\n",
" <td>1.217571</td>\n",
" <td>0.000000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2909</th>\n",
" <td>2016-01-25</td>\n",
" <td>1.898042</td>\n",
" <td>0.000000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2922</th>\n",
" <td>2016-02-07</td>\n",
" <td>1.217571</td>\n",
" <td>1.230312</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2923</th>\n",
" <td>2016-02-08</td>\n",
" <td>1.898042</td>\n",
" <td>1.466063</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" ds playoff superbowl\n",
"2190 2014-02-02 1.217571 1.230312\n",
"2191 2014-02-03 1.898042 1.466063\n",
"2532 2015-01-11 1.217571 0.000000\n",
"2533 2015-01-12 1.898042 0.000000\n",
"2901 2016-01-17 1.217571 0.000000\n",
"2902 2016-01-18 1.898042 0.000000\n",
"2908 2016-01-24 1.217571 0.000000\n",
"2909 2016-01-25 1.898042 0.000000\n",
"2922 2016-02-07 1.217571 1.230312\n",
"2923 2016-02-08 1.898042 1.466063"
]
},
"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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\n"
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%%R -w 9 -h 12 -u in\n",
"prophet_plot_components(m, forecast)"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 648x864 with 4 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = m.plot_components(forecast)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Individual holidays can be plotted using the `plot_forecast_component` function (imported from `fbprophet.plot` in Python) like `plot_forecast_component(m, forecast, 'superbowl')` to plot just the superbowl holiday component."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Built-in Country Holidays\n",
"\n",
"You can use a built-in collection of country-specific holidays using the `add_country_holidays` method (Python) or function (R). The name of the country is specified, and then major holidays for that country will be included in addition to any holidays that are specified via the `holidays` argument described above:"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"output_hidden": true
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"WARNING:rpy2.rinterface_lib.callbacks:R[write to console]: Disabling daily seasonality. Run prophet with daily.seasonality=TRUE to override this.\n",
"\n"
]
}
],
"source": [
"%%R\n",
"m <- prophet(holidays = holidays)\n",
"m <- add_country_holidays(m, country_name = 'US')\n",
"m <- fit.prophet(m, df)"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"output_hidden": true
},
"outputs": [
{
"data": {
"text/plain": [
"<fbprophet.forecaster.Prophet at 0x7fa913d94780>"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"m = Prophet(holidays=holidays)\n",
"m.add_country_holidays(country_name='US')\n",
"m.fit(df)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"You can see which holidays were included by looking at the `train_holiday_names` (Python) or `train.holiday.names` (R) attribute of the model:"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
" [1] \"playoff\" \"superbowl\" \n",
" [3] \"New Year's Day\" \"Martin Luther King, Jr. Day\"\n",
" [5] \"Washington's Birthday\" \"Memorial Day\" \n",
" [7] \"Independence Day\" \"Labor Day\" \n",
" [9] \"Columbus Day\" \"Veterans Day\" \n",
"[11] \"Veterans Day (Observed)\" \"Thanksgiving\" \n",
"[13] \"Christmas Day\" \"Independence Day (Observed)\"\n",
"[15] \"Christmas Day (Observed)\" \"New Year's Day (Observed)\" \n"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%%R\n",
"m$train.holiday.names"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0 playoff\n",
"1 superbowl\n",
"2 New Year's Day\n",
"3 Martin Luther King, Jr. Day\n",
"4 Washington's Birthday\n",
"5 Memorial Day\n",
"6 Independence Day\n",
"7 Labor Day\n",
"8 Columbus Day\n",
"9 Veterans Day\n",
"10 Thanksgiving\n",
"11 Christmas Day\n",
"12 Christmas Day (Observed)\n",
"13 Veterans Day (Observed)\n",
"14 Independence Day (Observed)\n",
"15 New Year's Day (Observed)\n",
"dtype: object"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"m.train_holiday_names"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The holidays for each country are provided by the `holidays` package in Python. A list of available countries, and the country name to use, is available on their page: https://github.com/dr-prodigy/python-holidays. In addition to those countries, Prophet includes holidays for these countries: Brazil (BR), Indonesia (ID), India (IN), Malaysia (MY), Vietnam (VN), Thailand (TH), Philippines (PH), Turkey (TU), Pakistan (PK), Bangladesh (BD), Egypt (EG), China (CN), and Russian (RU).\n",
"\n",
"In Python, most holidays are computed deterministically and so are available for any date range; a warning will be raised if dates fall outside the range supported by that country. In R, holiday dates are computed for 1995 through 2044 and stored in the package as `data-raw/generated_holidays.csv`. If a wider date range is needed, this script can be used to replace that file with a different date range: https://github.com/facebook/prophet/blob/master/python/scripts/generate_holidays_file.py.\n",
"\n",
"As above, the country-level holidays will then show up in the components plot:"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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RzHaNN2bFsl3jTVmxrEkb+gG4+hUIxwsbci78364zlU7v/KFtZ/dNYluc/kOOYRiv16t0FMGhKIqmaezOakmL2uv1RkRE+D8DLWYlQYtZNs1uMRdWuxfvK1l1pHx4+8hHByX3STJKEV6DwqbFXGdPYc29X+XflB4lIFRU7S6pdZ+v9SBExBuZJJMmJVKbaNIkmbTJEZrkCG2iSRPX4q7vJvJvMQfYcbp64W9FeRWOv/ZLurdvfJRORfNyoMUsG5lbzCo6yQBQldxyx3t7S747bpnUNWbrnB4d2uiUjgh7g1Mjfprd/bODZbFGZnRmdKJJkxKhjTNo1DySe2P7yBvbR/5RVPvu3pI+i4rv6RX/4IDEBKNG6bhAOIPEDECg387V/G9v8b4i26ze8fse7B0PtXDopEZq/zkcv9ns/VNMKyZn5ZU73vu9ZOAHByd1jXl0UHL7aLhWA5KAxAyaz8Px205W/Xym2sBQeobUUkSkjtbSJMuQJi2toQijhmIZUkuTEVpKR5M6WqWTaES8IGw+Yf3f3pLCavdf+yV8OC4jQoLhTICvTrHse7d3/Pv1qYv2nb9x6ZFbO0TNH5zSLZ5VOi4QbqDeAc3xR3Ht2qMVG45VJBg1t3WM5hGyOr1un1Djtrs5weHlbW7OzXG1bs7p5T2cUOXyib8YoaW1NMEypIGhdAxp0tJ6mtRQRKSO0tGknqEitJSY2o0aSkuRRg3JMpSWJiN1tJYmdDQZoaVCfhOLh+PX5VS8t7eEF4S5A5OmdY+T6KZbEAZSI7Wv3druyaHJH+47P2FlTp8k4/zByUPSIq79mwA0DSRmEITTVtf6XMu6nIN2t3di15iv7+raNa6pzQU3Jzi9XK2bc/t4u5e3eTiPj6/1cA4P5/IJNW6fhxOcPr6oxu328XYPb/NwHk6odfucPt7t46tdnJvjnV4eIcRQpIEhDRpKQxERWoplKA1NRmhIVkNpKTJSR2so4mJqp0mTltIzZATrYimBIQQ9Q5k0pJYmxXtsbB5u+cGyD/84n2DUPDssbXSm2m9dBSoRwzL/HJ42b3Dy8oNlf/3mRFqUdt6gpNs6toHTB7QczMpWEi6zsisd3g3HLOtyK3IvOG7PMs8Z1L5XG4IilamBat2cm7uYuV0+zubmnD5eTO1un+D0crUe3u3j7B7e7uXcPkHM/T5BbNPzTi9f6+E4XkAIGTSUj+OHpEXMG5yswsWewm9Wtmo1Miu7KTycsOrIhff2lugZ8tFBSRO6xNCyfDtgVrZsYFY2UAs3J/xUYF2TXf7z6arBqaY5vePHZJlNOkbZ26VMWsqEqJggx/UCbpfy8YLNw9ncHEMRMLcLtJCGImb1jp/RM+6bPMu7e4pf21U4d2DS3T3jVD6pAqgWJGYQSBDQ3qKaNdnlm45XpkVqp3aP/b+R7cMse9EkEaWjVXVPKsAdRRITu8RM6Byz/XTVO78V/d8vRQ8MSJzTOz4STjMQJDhjwBV2n62e/91JXkCTusZ8O6Nrp1iYcQpAEAgC3ZwedXN61L6i2oV7iv+3p2R2n/gH+ifKtlgKCAOQmMFlG45Znvzh1P+NbD+usxnmQAHQEgNSTF9M6XSs3PHunuL+iw9M7R47d2BSuyi49RlcGwyBgIs+3l/6959Or5zaaUKXGMjKAIRE51h28diM3X/pRRLE8E+OPPDNidxyh9JBAbWDxAyQIKD/7Cx8b2/xN3d1GZhiUjocAMJNWqT2jRHt/3iwd2qk9o4VOXetydtbWKt0UEC9IDG3dj5emPddwQ/5ld/N7AYjygBIJ9bAPDc87eDc3gNTTfd+fXzMiqNbTlqxutcJyATGmFs1h5e//+v8Kpdv04yu0Xo4GQCQXISWnj84+cEBSSsPlz3z42mj5ty8wcnjOpvlufUZYAHvFvMvZ6vf+qWIh2vOZql0eCetyiVJtP7OLpCVAZCTliLm9En4/cHejw5OXrineNCHBz89UOrmoCoDCLWkxexwON58802v1xsXFzdv3jyCIBBCHMctWLDAbrenpaXNmTMndHE2LCVS+93WMwdKaj+e2DkClqoNRmG1e9rqYwNSTP83Mh0u1QFQBE0Sk7vGTOoSs+WkdeGe4rd+KXqgf+K9fRJMWkrp0ICSmt9i3r17d8+ePf/zn//wPH/ixAnxyb1796akpLz44oulpaVFRUUhCvKq2kXpNs/q3kbP3Ljk4KHiGqnfLmwcK3eM/uzoHZ3aLBjVAbIyAMoiCDSiY/R3M7stnZC1t7Cm96ID/9lZWG73Kh0XUExgi3nhwoUNvm7+/PkBz8TGxu7evdtqtVoslqioKPHJgoKCzp07I4TS09MLCgpSUlJCHXAgHU2+f0fH5YfKb/pg739uaTute6zU74i7387VzP7q+DPXp97bN0HpWAAAlw1KNQ1K7ZxzwbFwT3H/Dw5O6x47d2BSWqRW6biA3AITs8vlQggdOXJk586dU6ZM8Xq9GzZsmDp1av3fzMjI+PTTT998802NRtOmTRvxSZvNJi7GbTabbTab+OTrr7++bt06hNCaNWvS09Ol+BhP3hIzpGPC1M/251T63hnfVUPhPXYuna+yz9+7Pn/JtF6TeyS25DgBS65jwWAwKB1Cc0BRy0YlRT0sBg3rknbSYn9rx8lhnxwZ1zX+mZszuiU0fB8jy2J5J4VKijooer1eoiM7HIG3tje8u9TAgQM3btwYHx+PEKqsrBwzZsyePXsCXrNkyZJevXr169dv/fr1kZGRt9xyC0Jo2bJlXbt27d+//+rVq+Pi4m688UaEkMvl8ng8CCGfzyfRRigURUVEROQXXbj/6+NuTlg6MSvJhMHazjLvLvXpgdJXd55bNqnT0BbsHUtRVGRkJHYbeQVsYoEFhmFYlsVuHx5Md5cyGo0q3Mjrgt27+PeS5QfLBqeZ5g9OHpByxTcXx92lNBqNTqerqcFs5FHq3aXMZrP/w4Ynf5WWltY1gk0m04ULF+q/xufzidWcIAg+n098MiMj4/Tp0/379z979uzQoUPFJ3U6nU6nQwhZrVZJa8YYll53Z5dXfj5389LDH43LUOFGfgGES2R4rzd2F35+6MKGu7t2iWVb8o7i7+JVFyB5izpUoKhlo9qijmXpF25Mmz84aemBspnr8jLN7PwhyTe1jxKX5sOxqEXYxSxzOVMvvfRS/WdPnDixePHiyMjI/Pz8v/3tb/369RszZkzAa9q1a7d8+fIdO3bYbLa77rrr5MmTq1atmjBhwrZt23bv3p2QkHD99dcH/Ip019EkSWq1WqfTSRLE8PZRaVG6hzYWkATRP9mk5sUlaZrmeV7qvzfHC3/bfGrryaoNd3ft2KalvTEkSep0OqfTGZLYZMMwDMdxeFUHFEVpNBpxdAkjDMPUXanjQqxAVFvUOpocnBpxf79Et49/dWfh6qMXIrV0plmv1WiwK2qapmmadrvdSgcSHI1G4/VKOB0vYEii4a5sn8+3dOnSHTt2kCQ5fPjwOXPm0HQI7nO1Wq0SddvSNB0REeHfv5pf4Zz91fGsGP3/bu9o1Kj03gMZurJdPv4vG06U270rp3ZqE4qblSmKUnY/5ubBtCvbYDCosH+1cZh2ZZtMJqvVqnQg1+bl+K+PWf63t8Tt45+4od2kTtEMVjNqtFqtTqfDboBG6q7sgEH3hv+kbrc7ISFh/PjxY8eOjYiIWL9+vXQBSSQzRv/T7O4EQiOWZedXYNa8CxW7h5v65TEvx391V5eQZGUAgLIYipzaLXbXfT1fvqntigPne7//53t7S2wemeapAHk0XFnPnj27vLy8d+/edc9MmzZNrpBCxqihPpmQtWhfyegVR98elT62k/navxNGat3c9DXH4gyaj8Z1ZGCaOgBhhCDQqMw2k3qlbDtetuDXwoV7iuf0iX+gf5KZhevvcNDwX/HgwYP5+fkkiX1tThBo7sCkngmGv2w48WeJ7fnhaa1kPY1ql2/a6ryUSM0HYzNayUcGoBUakhYxOLVLdpl94Z7ivosP3Nk99uGBSalw6zPmGk69SUlJ586dkzkU6VzXNnLbvT32FdVOXpXbGtbTsTp9k7881i5a+yFkZQBage7xhiXjM7ff28Pl46/7+NAj3xbkwa7POGs4MUdGRnbs2PH666+fcInMYYVckknzzd1dsmLZmz898kdROO+EKm5NkRWjf//2jhRkZQBajfRo3YLRHX5/sLeZZUavOHrP+uN/loRzXRfGGp6V/euvvwY8U3dTckvIOSv7alZnlz+75cyzw1LvU8GClCGflW1x+CauzOmdZHx7VDopzY1iMCtbNjArWzYYzcr218gCI1anb+mB0o/+ON8lzjBvUNKN6VHyh9cgmJXdoCbNyh46dOjp06fXrl3bq1cvi8USkqysEtO6x35zd9fF+0rmbipwenGqpq+p3O4dvzKnf4ppwagOEmVlAAAWovX0k0NTDs7tOyoz+onNp27+9MjGPAvskIuLhhPzCy+88Pnnn2/evJkgiLfeeusf//iHzGFJqls8u3VOD6vTN+qz7DNVKl1SIFilNs+4L3Kuaxv51m3pkJQBAAghliH/2i9x3wO9/tI34Y3dhUM+OvT54QseLqwaJGGp4cS8Zs2adevWpaamsiy7ZcuWlStXyhyW1KJ09OdTssZkmW9bfnTLScz6r+orqfWM+zznpvSoV29pB1kZAOCPocjpPeJ239/z+eFtVxwq67f44OJ95+1w67OKXXWBkbrlx9xut1YbhpPvSYJ46rqURXd0fOTbk2/sLsS3k6eo2j3286Ojs9q8AlkZAHAVJEGMyWrz46zu793ecfupqt6LDryxu7DSidmKnq1Ew4n5kUceue22206fPv3iiy8OGTLk0UcflTks2dycHrVldvcfT1jvWpNnxfAcPVftHvtFzoQusS/e2FbpWAAAGLihXeTa6Z3XTu+SV+7ou+jAP7ecKa7BbOXqsNfwrGyE0Pbt23/++WeWZW+99da+ffuG5M3UMCu7QS4f/9SPp387W71sUlb3ePm2km3hrOwzVa4JK3Pv7B779PWpoQ2sETArWzYwK1s24Tcru4kKLM7/7S3ZcKxibCfzo4OSM2Ok2nK4DszKblDArOwGErPX63333XeffPLJkL+3ahOz6NMDpa/8XPifW9tN7x4bqsAa15LEfLLSNWFlzuzeCU8MTQ55YI2AxCwbSMyyabWJWVRS61n8e8nnhy8Max85f3By70RjSMJrECTmBl37dimGYX777bczZ85IF4Q6zemTsGZ6p9d2nvvb5lMeTtXVSn6Fc9wXOff3lTsrAwDCT5JJ8+9b2v35UO+ucYbpa/ImrcrddQazxBlmGl4r22Qy9e3bt3///iaTSXxm7dq1MkalmL5Jpu339rx/Q/7Yz3M+mZCRHKHGWW955Y6Jq3IfHZT80IBEpWMBAISJNizz1HUpDw9IXHH4wqPfFsQZNfMHJ4/OjIZFEeTX8Bjzzp07A54ZNmxYy9/M6ZRq+0WSJEO4pbyPF17acnLFgZLl07oNT28TkmM2iKIonueD6onKLrXd/umBvw9v//Bg+caV/REEoeYt5a+GpmmO4/DqXyVJkmEY7LaUx7SoQ1iByIZhmLrbZ0LLw/GrDp1f8Ms5AqHHr2s7vVeCJkQ71FEURdM0dme1dEWNEPJ6vREREf7PNJyY586d+/7779c9nD179rJly1r+9iofYw7w7XHL49+fenRQ0qODkiW6ZAx2jDm7zD55Ve4zN6TO6aPYeqIwxiwbGGOWTSsfY74aXhC+z7e+81tRhcP30IDEmb3iWaal6RnGmBsUMMYc2JX9yiuvfPHFF+fOndu+fbv4DMdxkZGR0gWkWrdnmbNi2NlfHT9w3va/MR1NWkrZeA6dt01bk/fc8LSZveKVjQQA0BqQBHF7Vpvbs9r8fLrq3T0lb/9WfH/fhPv6xLdhGaVDC3OBLWa73e5yuR5++OFFixbVPRkVFUVRIUhLeLWYRXYPN++7k7nljmUTM7Ni2NAevOkt5j9Lau9ck/evm+WbMbr7SlEAACAASURBVH410GKWDbSYZQMt5qY4UGJ7d2/xrjPVM3rGPTQgKdGkacZBoMXcoGvMyjYYDGazefXq1WY/IcnKmDJoqCXjM2f2jBuzIuebY8pko31FtdNX5/3nFuWzMgCg1eqTZFw2MWvzPd2tLm7Qhwcf+/7kyUrMRuVxEZrx/PBGEOjhgUmfTcp6dsvpF7ad8fGyNgX2FNbctTbvzdvaT+kGWRkAoLDMGP3/xnT49S+9WIa85dMj9351/HCphE3J1gkSc1MNSYvYOqfH/mLbpFW5F+xSTc8LsPts9Yy1xxeM7jChS8y1Xw0AALJIidS+emv7Px/ukxnDTvkyd+rqY7+cxax3Ws0gMQch0aTZcHeXLnGGm5ce+aO4Vuq3+/l01ez1+f+7vcMdWRLesgUAAM3TRk8/c0PqwYf7DG8X+dDGgpHLj36fX4nvhkDqAYk5OBqKfO3Wdi/cmDZ9dd6S/eele6Ntp6ru+/rE4rEdR2dCVgYAqJdBQz08MOnPh/vc3TP25e1nr19y+MsjF7yw63MLQGJujindYjfO6PrhH6UPbTzh9Ib+/PvxhPWvG058PD5jRMfokB8cAABCTkMRM3vF73mg19PXpX60v3TAh4c+3l8qRfXYGkBibqaucezWOd1r3NzI5dmnraGcmvjd8cqHNxUsnZBxU3pUCA8LAABSIwliXGfz9nt7vD2qw7fHLb0X/fn2r8VVLvx21FUWJObmi9TRn0/uNLaz+bbl2T+eCM0dkBvzLPO/P7l8Uuaw9pCVAQC4urF95Dd3d10xqdOhUlufRQde2n621OZROihsQGJuEYJATw5N+WBsxrzvCl7bda6Fsx6+yq144odTKyZnXde2NS61BgAIM/1TTJ9Nyvp+Zrdyu3fgBwef+OHkqUqpdkwIJ5CYQ+Cm9Kitc3psPVk1ffWxSkcz76Rac7T87z+eXjW10+DUiGu/GgAAMNEpln3/jo6//KWXlqaGfrD/7pWHssvg1ufGQGIOjdRI7ff3dE8waW5Zln0k+NvtVx0pf27rmS+ndeqfbJIiPAAAUFZqpPa1W9sdmT+wY4xh4srcaauP/XauRumgVKrh/ZhBM2gp4t0xHZcfLJuwMvfxIclxRsbl4zleqHVzCKFaN8cj5PRybp/ACRefdPgEL8c7PNxJq2vNtM69Eo1KfwgAAJBQrEHz8oiMv/QyLz9Y9tdvTqRFaecPSh7RMRqLTZ8Pn7chhHpKX1FDYg6xWb3ju8cb3vqlUBCQQUMhhKJ0NEKIZUgNTUZoadZIIoSi9DRCKJLVUYinkNAt3pAaqVU2cgAAkIdJSz0yKOkv/RO/PHLhua1n/rPz3CODkiZ2iaFJlebng8U1Tqd8o+PNT8zr1q37/fffEUI2m23AgAFz5sxBCFVUVDz55JNxcXEIoccffzwpKSlUgWKkT5Jx1dTOTXllsPsxAwBA2NBSxKze8TN6xm3MsyzcU/z6rsK5A5Pu7hmno5UfYxUbx3X0er2c7978xDx58uTJkycjhBYtWjRy5EjxyfLy8tGjR0+bNi000QEAAAhrFElM6BIzvnPM9tNV7/xW9PrOc3MHJ9/bJz5CK2uHbkAmVlZLP3lxcTFN04mJieLDsrKykpKS999/v1u3bsOGDROfrKqqEney1Ol0Eu0gSZIkQgi77SlJkhQjxwimRU0QBEmSBBYDWZeIAeNY1BRF4bUfM0VRUNTyaOSsHpFhHpFh/r2w5p3fit75tfiOTuYp3WNvTA/96oeHShrY6aDxqlisQMSfQ36e1N8nnmjhH/Wdd96ZNWtWdPTFstu3b19tbe3gwYPfeuutiRMndu/eXXzNxo0bEUJLly5t27ZtS96uEQTR0s8CmgiKWjZQ1LKBopZNU4o6+3zNM98e23mqclTn2Jl9UpIjdVd7Zd/UK9Zi+rOwKjRRXl3AO7ac0+lkWdb/mRadi7W1tQsXLnzuuefq/9eOHTssFovY113HarVKNJ5K03RERERlZaUUB5cOjmPMFEVFRUVZLBalAwmOXq93u931r0zVjGEYg8FQVSV5RRNaer3e5XLhleRomjaZTFZraNbvkw3Lsk6nE6+i1mq1Op2uurpJe0T+eKJyTXbFlpPWwamm6T3i0qOvmp6lptfr6yZ/STErOybmio19W9SP+ueff/bs2dP/mbVr12ZnZyOEzp49W9e/DQAAAATrtow2n0zM/GxSVrxR8/j3p57dcjq7zKF0UHJo0Rjz/v376+Z55efn//TTT5MnT160aNGaNWtiYmKGDBkSiggBAAC0XsPTo6L19J3d477Jq/jXjjNJEdq7esQOSI7AasZIcGQdVoGu7ADQlS0b6MqWDXRlyybsu7IDHD5v8/DC5vzKNdnlLENO7xE3rF0kJcutzzh1ZQMAAADy6Jlo1JDE2E7m5ZOypvWIW3Xkwuyvjm/Ms3h4nC5NmgJW/gIAAIAHsbV6+Lzt5vSom9pH/V5Usyq7/PNDZRO7xIztFMNqwqSpCYkZAAAATnomGg+ftxEEGpQaMSg1IrvMsepw2ZdHK8Z2Mk/obI7WY5/XwuT6AgAAQOvhP9DbPZ59dUT7/45MP1/rvmf98Xf3lpTaPArG1nKQmAEAAOAnYBJWhza6fw5L+3BcBs8L93+d//quwtNWl1KxtRAkZgAAAFiqP0E6yaR5bEjyZ5Oy2rD0Y9+fen7bmdwL+N36DIkZAAAArhq8eakNy/y1X+IXU7I6x7IvbDvzxPen9hXXYnRbGfaD5AAAAFqzuqnaAc8bNdRdPeImd435/njlwt+KjVryzu7xN7SNINW663MdaDEDAADA3tXW/dBQ5PguMcsnZU7uGvv54bLZX+d/l1/pVfetz5CYAQAAhING1uSiSfLWDtEfj8t8sH/ijwXWu9fmrckud3hVuhQgdGUDAAAIE+Itzlf7X4JAQ9IihqRFHCm1rzxStiq7fGynNhO7xEbq1LUVNyRmAAAA4aPx3CzqkWDokZB+wuJcdaR8xrq82zKip3SNiTdq5InwmqArGwAAQGuUYda/cGPaB2MzPBx/39f5b+4uPFulilufITEDAAAIK0FtAJUcoXliSMrySVmROvrR706+sP3ssXKFb32GxAwAACDc9Ew0BpWezSzzQP/Ezyd3yjTr/7nlzJM/nNpfco3+cOnIuh9z3X6WIUeSpEajcblU0QvRdBRF8TyP13aqBEFotVrsipqmaY7j8CpqkiQZhnG73UoHEhxMixrHCoRhGK/Xq3QUwaEoiqZpOc/qg8U1wf6Ky8ttOlax6vD5SB09s0/i8PQ2Gobx+Xzi//ZOjghthF6vNyLiimPKmpitVivHcVIcmabpiIiIyspKKQ4uHZ1O5/V6JSoTiVAUFRUVZbFYlA4kOHq93u1287xK745oEMMwBoOhqqpK6UCCo9frXS4XXomZpmmTyWS1WpUOJDgsyzqdTryKWqvV6nS66upqOd/0mnPBGuTj+e2nqr/MLucFYUbvpGFtDQxJoiD7yZsoJibG/yHMygYAABDOmjJPuz6aJEd0jL6lQ9Rv52rX5JQv+aNoUpeY27PMUkQYAMaYAQAAhLlmN3NJgriubcTHk7r+/frU/SW2mevyZFiWBFrMAAAAwDX0TjT2TjSW2TwsI3mDFlrMAAAAwl9IxoblWYQEEjMAAIBWQYp5W1KAxAwAAKC1wCI3Q2IGAADQiqg/N0NiBgAA0LqoPDdDYgYAANDqqDk3Q2IGAADQGqk2N0NiBgAA0EqpMzdDYgYAANB6qTA3Q2IGAAAAVAQSMwAAgFZNbY1mSMwAAABaO1Xl5uZvYrFu3brff/8dIWSz2QYMGDBnzhyEEMdxCxYssNvtaWlp4jMAAACA+jVvd0gpND8xT548efLkyQihRYsWjRw5Unxy7969KSkp06dPf+2114qKilJSUkITJgAAANA6tHTbx+LiYpqmExMTxYcFBQWdO3dGCKWnpxcUFIiJOS8vr6ioCCHUs2dPnU7XwndsEEmSBEFotVopDi4dmqYJguB5yXf3DCGSJBFCOBa1IAiCICgdSBAoiiJJEsei1mjk2IEnhCiKwrECoSgKu6KmaVrNZ/WAdtpDJbX1nydJsq6oQx68z+cLeKaliXnt2rWzZs2qe2iz2WJiYhBCZrPZZrvYJ3Do0KFdu3YhhDp37hwVFdXCd2wQQRAIIYmyvnRIkqQoSukogkMQBEEQOBa1eEmBEShq2UBRy0aMWc1FPShdd6CoOuBJse0n/hzy4N1ud8AzLUrMtbW1NpstOjq67hmDwWCxWNLT0y0WS1xcnPjk9OnTp0+fjhCyWq3V1YEfOCRomo6IiJDo4NLR6XRer5fjOKUDCQJFUVFRUdgVtV6vd7vdeHVOMAxjMBhwLGqXy4VX5wRN0yaTCbuiZlnW6XTiVdRarVan06m8qDuYUMBgs16vdzqd4s9SxG40XjH1rEVXW3/++WfPnj39n8nIyDh9+jRC6OzZsxkZGS05OAAAAKAIZSdptygx79+/v1evXuLP+fn577333qBBg0pKSt56662EhASY+QUAAABTCubmFnVl/+1vf6v7OTMzMzMzEyH02GOPtTQoAAAAoLXCbOIAAAAAIA+lGs2QmAEAAICGKZKbITEDAAAAVyV/bobEDAAAADSmd3KEnG8HiRkAAAC4BjnbzZCYAQAAgGuTLTdDYgYAAACaRJ7cDIkZAAAAUBFIzAAAAICKQGIGAAAAVAQSMwAAAKAikJgBAAAAFYHEDAAAAKgIJGYAAABARcIkMXs8npKSEqWjCJogCEqHEDSv11tYWKh0FEHjeV7pEILmdrvLysqUjiJoOJ7VHo+ntLRU6SiChmNRO53O8vJypaMImswVCIHjn7a+EydOzJ8///vvv1c6kPBXXFw8Y8aMHTt2KB1I+Nu/f//bb7+9cuVKpQMJf7m5uc8+++yGDRuUDiT8bdu2bd26dYsXL1Y6EFULkxYzAAAAEB7CJDFHRkaOGjVK6ShaBYPBcMcddygdRasQGxt70003KR1FqxAVFTVixAilo2gVkpOTr7vuOqWjULsw6coGAAAAwkOYtJgBAACA8EArHUAQHA7HwoULHQ4HTdPPPPMMTdMLFiyw2+1paWlz5szhOM7/ocPhePPNN71eb1xc3Lx58wiCUDp8nDRe1OJrCgoK2rdvT1FUQMkrGzl2girqgBdrtVplg8dLUEVd91u1tbUmk0mhkHEVVFELgvDJJ59cuHDBZDI98sgjUFcjhKiXXnpJ6Riaavfu3Waz+YEHHjh//nxFRYV4J8kjjzyyefPm9u3b5+Tk+D/cv3+/2WyeO3funj17zGaz2WxWOnycNF7URqPx6NGj//3vf0eOHEnT9J49e/z/NyIiQunwcRJUUQe8OD09XenwcRJUUYu/smPHju+++27w4MGKBo6foIp67969Nptt7ty5Pp9Po9EYjTLteaxmOLWYU1JSYmNjEUJGo5FhmIKCgs6dOyOE0tPTCwoKzp496/8wNjZ29+7dVqvVYrFERUUpHDpuGi9qs9mcn59f16oI+N+UlBQFI8dOUEUd8GIFw8ZRUEWNECorK9u5cydcaDZDUEWdl5dHkuS7777bpUuXhIQEJeNWDZzGmDMzM6Ojo/fv379nz54BAwbYbLaYmBiEkNlsttlsAQ8zMjIKCgrefPNNiqLatGmjdOyYabyo9Xr9pEmT4uLixBcH/K+ScWMoqKIOeLGigeMnqKLmeX7ZsmUzZ85UNGRcBVXUdru9tLR0+vTpv/322+HDhxUNXC1wSswIoXXr1v3yyy/PPfecXq83GAwWiwUhZLFYDAZDwMPVq1fPmjXrtdde69Gjx88//6xw3BhqpKgDXtn4/4JranpRB7xY9kix1/SiXrdu3YgRI2B0udmaXtQsy956661xcXE33HDDiRMnlAhWdXBKzHv27KmtrX3sscdYlkUIZWRknD59GiF09uzZjIyMgIc+n09cRE0QBJ/Pp2zk2Gm8qANe3Pj/gsYFVdQBLwZBCaqoHQ7Ht99+++6772ZnZ//www8KhIuzYCsQMR+fOnUqPj5e/mhVCKfJX999911ubu7u3bu3b9+u1WoHDx68bdu23bt3JyQkXH/99cnJyf4P27Vrt3z58h07dthstrvuust/6AhcU+NFLb5mx44dN9xwA03TASWvbOTYCaqoA16clpambPB4Caqoe/XqNWzYsG7dupWVld1zzz3KRo6doIo6KSnp+++/FxdUnjp1Kkni1FyUCCwwAgAAAKgIXJsAAAAAKgKJGQAAAFARSMwAAACAikBiBgAAAFQEEjMAAACgIpCYAWhd3njjjYULFyodBQDgqiAxAwAAACoCiRmA8Ofz+R555JF27doNHDjwyJEjCKGamprbb789NTU1IyNj69atSgcIALgMEjMA4W/p0qUFBQX5+fkbN27cuXMnQuiLL74wm82FhYUff/zxTz/9pHSAAIDLIDEDEP527Njx8MMPazSa+Pj4KVOmIISuv/76X3755amnnuI47o033lA6QADAZZCYAQh/JEkSBCH+7PV6EULdunU7cuRIz549Fy1aNGbMGEWjAwBcAdbKBiD8ffzxx998883XX39ts9m6d+/+1FNPVVZWCoLw0ksvlZSUdOnSpbq6ui5zAwCUBS1mAMLfnDlzUlNTs7KyRo0aNXXqVITQvffeu3Xr1tTU1BtvvHHx4sWQlQFQD2gxAwAAACoCLWYAAABARSAxAwAAACoCiRkAAABQEUjMAAAAgIpAYgYAAABUBBIzAAAAoCKQmAEAAAAVgcQMAAAAqAgkZgAAAEBFIDEDAAAAKgKJGQAAAFARSMwAAACAitBSv4HT6eR5XqKDazQar9eL3T4cFEVxHKd0FMEhCIJhGI/Ho3QgQcOxtCmKIgjC5/MpHUhwSJJECEn3fZcITdOCIOB4kmAXM0KIYRifzweVdgCDweD/UPLE7HK5pPs8LMvW1tZiVxEYDAan06l0FMGhKEqv11dXVysdSNBYlsWutPV6PUVR2IXNMAxCyOv1Kh1IcIxGI8dx2JU2y7Iulwu7DMeyrN1ux+6SQupKOyAxQ1c2AAAAoCKSt5h1Op10BycIgmVZ7K4ZGYYJuD5SP4IgUL3LOiwwDCMGjxGapkmSxK60xa5sjUajdCDBoWmaoigxeIzgeGKL9Ho9VNr+6ncy4d2VrdPpHA4Hjl3Zdrtd6SiCQ1GUVqvFLmyEEMuyDodD6SiCI3ZlY1fa0JUtJ3GMBrsMp9PpnE4njl3Zcn4fMbtIBAAAAMIbJGYAAABARSAxAwDAFXDrHsYblHZ9kJgBAOCySoe31/t/Kh1FK/LyjrOf/FmqdBTqIvnkLwAAwIjTx1tdmC3tgrUat6/WTSkdhbpAixkAAC7joWdVXtCVXR8kZgAAuAKkCjnBlVB9kJgBAOAySBMyE5CA8FwpRTqQmAEA4DJoLssMCrw+SMwAAHAZLwjYLaeFNSjr+iAxAwDAZZAnZCYI0GgOBIkZAAAuEwTIzbKC0q4PEjMAAFwG/dgyg6GD+kKwwIjVan377bcFQYiJiZk/fz6mO5EBAACCu3dkBwVeXwhazD/99NPIkSNfeeUVj8dz8uTJlh8QAACUIiABIWhdyAfycn0haDGPGDHCYDBYLBa73W42m8Unz5w5c+HCBYRQenq6uEurFAiCoGkau34QkiSlKxOJiNvIYxc2QoiiKOzCpigKx5OEprFc4jfg3KZpBuFwqosnNna1H0KIpmmxzEUEQRAkofICl/T7yPN8wDMh+CJFR0e73e4FCxbQNM2yrPjkzz//vG3bNoTQq6++GhUV1fJ3uZq6d8QISZIUhdnasARBEARhMBiUDiRoOJa2WG1hV9riMBZ2qUIs7bqrCp1NQDgUPo4nNkKIIAiWZf1PEoqmNRqNygtc0tJ2uVwBzxAt/xZVVFSYzWaCIL788sukpKQbbrjB/3+tVivHcS18i6sxm81Wq7X+5YbKGQwGu92udBTBoSgqKirKYrEoHUjQWJZ1OBxKRxEcvV5PUZTNZlM6kOCITQqv16t0IMExGo0cxzmdTvFhbrnjlk+zS54eqGxU18SyrNPpxO4yyGw2V1VV+SeFe7863jXe8OTQFAWjuiapK+2YmBj/hyEYY16/fv3Ro0cRQi6XC2Z+AQCwhlumw54AZV5PCLqyx40bt3DhQoZhTCbTzJkzW35AAABQCiQJ2UFzLlAIEnNCQsJrr73W8uMAAIDiBAT31cqKh9KuBxYYAQCAy+C2WpkJcMdUPZCYAQDgMmguywzKuz5IzAAAcBk04GQGa5PXB4kZAAAugwaczHgeeikCQWIGAIDLoAEnMyjw+iAxAwDAZTwPjWZZQWnXB4kZAAD8wF218oK8XB8kZgAAuEwQoHNVVjDbrj5IzAAAcBkkCZlBV3Z9kJgBAOAyWIhKZlDc9UFiBgCAywQB2nCy4nm4WyoQJGYAALgMcoTMoMDrg8QMAACXQfNNZlDg9YVgd6nG6XQ66Q5OEATLstj9XRmGMRgMSkcRHHGnbezCRggxDIPdNuE0TZMkiV1pkySJENJoNEoHEhyapimKEoNHCGm0boTDqY7jiS3S6/X+lTZJUYxG7VWipJW21+sNeEbyxOxyuTiOk+jgOp3O4XDwPC/R8SViMBjsdrvSUQSHoiitVotd2AghlmUdDofSUQRHr9dTFIVdaTMMgxqqZVTOaDRyHOd0OsWH4g82m13lWY9lWafTiV2zRKfTOZ1O/6Tg9fk8Ho/Kz3aZK23oygbNl1/hVDoEAEJMuPgvZgkPa7hdXUgOEjNovhHLs0ttHqWjACCUIEnIDAq8PkjMoPk4XoBd5UG4UXkXdtiBKqQ+SMyg+QRBwG6ICwCgKlCF1AeJGbQItJhB2HBzgtXpE3+GbCE1/1EwKO0AkJgBAAAhhFYcLH15x1mxEwgyhaQsDt+gDw9dfgzDB1eCxAyaDyovEE68POIuzcaGRCEpL897uUu3uUJZ1wOJGbQEAbkZhA3/ORNwYktKEFBdQoZ+7PogMYMWgS8VCBvihAk4pWUAW3g1DhIzaD4B1mEAYUSAZZvlIvhVHAKUez2QmEGLwBcKhA3xZBZTBqQKSUHhNg4SM2g+uIsZhBMBEoaM/IbzodQDQWIGLQKZGYSNizdKwSktPaHRhyAEu0s5HI6FCxc6HA6app955hmtVtvyYwIsCNDjB8IJQcCsbHkEjDGDACFoMe/du7dHjx7//ve/MzMzd+/e3fIDAozAdwqEDQFmZcsFuq8bF4IWc0pKSmxsLELIaDSKG7IihEpLS61WK0IoNjaWpqXa9ZkgCJqmsduPmSRJ6cpEIuI28gFhCwKiKFrlnwXT0sYxbIqiEIadKCRJCoJA0zRBkIggxE9B0zRNqXqkTzxDsCtthBBFUSRJCcKl+oQgCELtZ7uk38f6KSwE75SZmYkQ2r9//549e55//nnxyS+//HLjxo0IoaVLl7Zt27bl73I1JpNJuoNLR6PRKB1C0AiCiIyMDHjSYDRERqr9T4Dj8ApBEHWXuUBSBEEIgqDT6RhNGcN49aweIRQREamlVZ2YEbYntslkMrhIAQlifUJRlFarrV+3qI10lbbTGbixfWguAdatW1dUVPTcc8/p9Xrxmccee+yxxx5DCFmtVovFEpJ3qc9sNlutVuxazAaDwW63Kx1FcCiKioqKCvhTCkiwWqsstKq3ZGZZ1uFwKB1FcPR6PUVRNptN6UCCI15JeL1epQMJjtFo5DjO6XQ6nE63211bW4sQqqys1FCqXiuSZVmn04ldi9lsNldVVVmtNoSQWJ94vV6n0yldmggJqSttlmX9H4YgMe/Zs6e2tlZMw6C1waxWAODqxNv/cMt0WAooZxhyDhCCxHz48OHjx4//85//RAiNGjXquuuua/kxARagCgPhRLjKzyDkrszKIFAIEvODDz7Y8oMATMGXCoQNcW1IOKVlENBEhkIPoPbZDUDl4BsFwoZ/toAELSm4M61x4ZCYP/jjfEmtqucfBdhzturb46qe6dCIP4pr1xwtf31XofgQi6/WqzvPuXyYzRDE1/7i2o15+J3e3x6v3Fdkw27Vi9d3FTq8+J3bYum+vvuc3cMh6HirJxwS85rs8hMVOE27/eWMdfupKqWjaKY952o+/uP8x/tL/Vf8V7kP/jhvcWA2VRhf+4pqt5zE7/TeUmDdc65aELBJyaKP95eW23E9tz/eX3rB7sWrwOURDomZ4zH7w3L4XeBexiPE80i4tKYeFl8q7M4QrHFYnBP18JeGlwWEU3LGtrQRuvTFxOLiXmbhkJix2xOGx3mGCc8jzm8ADovPISAC3wLHDqZXQQJCPIZnCS8IOCY2saR5HEOXRTgkZh6nC1yEMLyS8BdQ2FhcYuB8IYQfQRB4DJMzf3E6EmabWGDX9y4SM/LlXgocP4OUwiMxY/ZHxSzcK3G8wPOX12HA4rNg2t2HKV5Q9YJZV+NXjeAUP4aXQAj5tZgRJsNhMrt2Ylb/tQwvCIjA67uk/kK9KgEhnhfqPoH6PwimTQp8YXehLOIvXWjiFT2PZ10ixswJgoBzZSidhhPz1q1bn376aUEQRo8eHRkZuXLlSpnDCgovYHD14E+cPKV0FM3ECwLnf7un6j+ImCfUHmUYwS63iS5dT1y8xMelSsF0DVGxeOuGx3H8CJJqODE/+OCDo0eP3rZtG8uyubm5L7/8ssxhBQW7K3TsAvbH8+KFBTY1F9aljSMez0ZQ3bg4XsFjescBrH7auIYTs9vtHj58+ObNmydMmJCUlKTyrZCwm9qH51fpooD2kPorMRjHkhmmV0ICVkPLoou9QRgW+OXbOvCLXQ4NJ+aePXvOmjXr66+/njBhwksvvSTphsoth91fFusxZl5API9THxQPg8zyEjtUsHNpyAOn7ya+l/gBV2/Yfg6pNJyYv/jii0GDBn3zzTcsyxIEsWrVKpnDCgqH2/wH7Gar+eMEgfPvjWCCJgAAIABJREFUq1T957g0qQerUwRnPA6Xa/UFJDksPgG+8yf8FkLAMXzJNby7lMfjeeihh8SfWzjArNPpWvLrjSMIgmVZARFandZgMEj3RiFGkDRN4xQwQgRBIIQMBgNF0QJBEATBsgaEkFarU/kHcXIEQkin0xsM7DVfrBI0TZMkqfKCrY8kSYQQRdM0zWEUPE3TFEURJIkQIklKo9UihFiWNWhDsPmedBiG0ekFdPHcxqa0EUJ6vV6nd136mUUEwTCMyj+CpBF6vYGLqjZ85vXr169v376zZ88eNWoUwzAteUuXy8VxXEuO0AidTudwODied7lcKh8I9+fjOK/Xi1HACCGKorRard1ud3u8HMfzguBwOBBCTtWXvJfUIIScTqfdjs21uV6vpyhK5QVbn1hXuD1er8+HUfBGo5HjOK/PhxDiOM7tdiOEHA4H6aOUDq0xLMva7Q4kCE6nE5/CRjqdzul0Op0usdXscDgEQfB41F4fGgwGOSNsuCv71KlTDzzwwNq1a7Oysp544onDhw/LFlAzYDdki91SZf54QeAFASECnzFmhPDs7sMUj90XEiHkfx/zpTt51K9uXFzpQIIm+P2ARVHLrOHETFHUbbfd9v777z/99NOffPLJ8OHD+/bt++uvv8ocXBNhtxIyptNWRQJCnOD/UO2fhcenng0PmM5IwjFqfO84CIhZ/dWIzBpOzCtXrhw/fny3bt2OHDmyadMmi8WyZMmSe+65R+bgmgi7hXlxm6x2BV5Al5bkFLBYhBrryyAcYXp61yW5i11BOKQKfM9t/+LFoqhl1vAY8/bt2+fOnXvTTTdR1MVRlt69e7/22msyBhYEXsDsT8vzWN2TcSVeEPyXWlP/xwjYnABIDdOCxu76HuE8TIPX9nTya7jF/NFHH6WlpR09evTw4cMHDhy47bbbEEJTp06VN7amwu6yEbuA/dW1h3DZFgbfW0owhekUCjzvY8Yn1iv5Rw4LDdTXcIv58ccf37x5c3Fx8cCBAw8cOKDaTmwRdnNNhEszp3DEC4jzK2/1fxAMG0J4w3VJzoBRTxw+AQ4xNuxyBYLvZ5BSwy3mLVu25OTkzJ07d/HixdnZ2ZWVlTKHFRQMl+TEseK6iBcE3m9zdvV/ELGLUv1xhg1Mm3F1kwQxij4curKxKnDZNJyYxVtU+/Xrt2vXrpSUlJycHHmjCg52eQ7T2TEiARH+g/rqr4UxmssTHrC7UBYFzHDG4iPge8eB3yQVgUAI35UQJdJwV/aECRPGjx+/ePHiUaNG5efnE+ouNexWn8e6c5XnBR4hhMPoskj9lw5hRrzNXekogubXuYrNCYNPpIH8A4dvaH0NJ+YFCxacOXMmNTV10aJFO3fuXL9+vcxhBUUQMOsOwXpzcAFdvF3q4kPVfw7hypYQkBqmRX3xPMGrJhH/xSnki2B3qcYFJuaFCxcGPBMREfHNN9/Mnz9frpCaB7MrdKzPRgFdbhKp/4OIVa364wwneKW3BmGRMARsV/6qc+naAuOPIIXAxOxyuRBCR44c2blz55QpU7xe74YNG1R7o5QIu55h7AL2d3FEn8DmU8BXXmaYLrKI4+QvHMtZ5B84vp9COoGJ+e9//ztCaODAgX/++Wd8fDxC6F//+teYMWMUCK3JsLsLDtOaSxSwX5v6P4f6IwwzmJ7bGI3O1MG4K7vuBxyjl17Ds7JLS0vbtGkj/mwymS5cuHDNAxUUFEi3i1TjsPvLYn0uBtRfuHwUTMIMBwKepX2pWxgnOMZcH6YnjKQaTsxjxowZO3bspk2bNm3aNH78+JEjRzZyCJ7ns7OzX3/99fqbSsoGr1Qn4Bawv4DFONXf84dtSeMK03M7oA2HxafAIMSrwOu2NPk1PCv73XffXbp06cqVK0mSHD9+/Jw5cxo5hNvtzs/Pr1tVW+RyuTweD0JIEASJ77a6eHCV39MViCAwCxghdDHqS9O+hMvPKRdRU1wcO1R9nJcRlygdSHD8zw2Mgg8oavFn9Zc/QRCY1n4EQdTN1iUIQlySU+UfQebzITAxz5w5880333z66acRQjRNI4R27dq1a9euFStWXO0Qer1+0qRJhw4d8n/ynXfeWbduHUJozZo16enpoQ/8kujoaISQ0Wgym83SvUtokeQZjYbEKOA6ZrOZ0WjEn6PbtEE4lHw5Z0MIRUZGmc0RSscSHK1Wq3QIzaHRahnkU/lZUR9F0QghhmEMRiNCKLpNG7NBo3RQ1xAVJSCEIiIjzeYopWMJQlRUlNHoFn+OiIikKEqn06n/hNHpdBIdWVzRy19gYp4xY0ZERMTs2bNb+E7PPPPMM888gxCyWq0VFRUtPNrVmM1mS2UlQqimtla6dwk5n8/n9XEYBYwQoigqKirKYrG4XBe/UeJCrdU11RUVVKO/qjCnEyGEqqqqKrQepWNpKr1eT1GUzWZTOpDgMAyDEHK53B4vTqe30WjkOM7r8yKEPF6vWOyVlZXI2XCHokqwLGutsiLx3Nb7lA6nqcxmc1VVVXV1jfjQWmX1cT6Xy6XyE8ZgMNjtdumOz7Ks/8PAM2/JkiVLliyp/2s333yzdDG1BA4jQYEEHIZmr6Zu7A2X5QAvzR5XfaDhAtObDvCNGcvIr/w+wtczQGBifvDBBxWJo9lwvD8dq2ADBc7KVi6SJsK38sIUpuva1Z0nGJ0wuEzArO+KTSzwC19ygYm5rmX8448//vzzzxzH3XTTTY3Pyhb9+9//Dn10TYDjDQN47flazxVrfqn/g6g+wHCDaYHjGLb6v31Xg+Nd43Jq+Hapl19++fnnn09KSkpLS3vxxReVSrpNgeOfFa/VhQLUxY7LcoA4XrphTRAwOCuuBq9hJgGT4aT6/GPGdOxDUg3PblixYsWRI0fE4eh77723T58+zz//vLyBNRVG/U51sAo2UL0bEFV9kwPCc7ADa7h2ZQc+xOAz4NJrVZ+ATf2hjIZbzMjvxjiCIFT9PSMI7CpdrIdVMB1jBrLBtLwvXeLjVJtgFGo9AcshgCs03GKeMWPGTTfdNGvWLITQZ599duedd8obVRBw+hpdgsXF+NUEtJjVX/64XECEEQLH0sbxW3kxZgwbnYH9E/iVvbQaTswvvfTSgAEDfv75Z4TQc889N3r0aFmDCkbdda7SgQQB80G4iyWeU2ZDOHyj8C1qTAkIq1bnJZdnZfs9VDksgmyQ/8q+2H4ICTXclW2z2Xw+X9++ffv27VtbW7t69WqZw2o6we9fXODdlS1c8YP6PweOsxCwhmlR4xg1RtcQAQKqERCg4RbzrFmzzp8/37dv37pnpk2bJldIwcHy2hzLSuCigPJWf/nje68npgSEkLrXPW5Q3ex99Z/SdfC948A/Zqx7ECXScGLOzc09duyYzKE0D47XjHi3mOtul/L7V80wqmfDA6blHXjFqVAYQcEiyAb5dWXj+yEk1HBXds+ePc+cOSNvJM2EYy2A172SAQK7sjH5HLjEGQYwXT+nbjIjRrHj9R28GqyKXCaBLeYpU6YghKqqqjp27Dh48OCEhATx+bVr18odWtNcXAkZqz8tXtEGEK78Qf2fBMc+Faxhun4OnmcIgfC8yg+86xK/TyCtwMT82GOPiT+89NJLcsfSLBf/oniNaRGEwCsdQ3NdvqrAZD686gMMN5gW+KXNTnC60QPHlCzyr0Vw/QxSCkzMQ4cOVSSOZsPxj4ppk+KiS9dA4qWF+j8Ivvd6Ygrr26Xwgm9zM/A+ZmWiUK+rrvyFCxxPTayCDeQ3xozH58DxDMEapnMb64Y8cLkPEOEznFTf5clfWF7FSU7yncB1Op10BycIQq/XI4R2nqsd2iG2c5xBuvcKIYIgCJI0GAyL9xbe3z+ZoTC4PBKXaDUYDBRFic9otVqEEMNoDAZVFztdbUcI/VrsiIsydo03Kh1Ok9A0TZKkwWD4YG/hvf2TNTicIQghkiQRQhRF+ThuRXblg4NSlY6oSWiapihKDJ6kSPHE1utZg0GrdGiNYRhGDHXj8aruKW0STaqO1p9er9doL0ar1elIkqBpRuXVCMMwBoPh2AVbUbX71gxzaA/u9XoDnpE8MbtcLo7jJDq4TqezOxwIofVHSvsk6NMMiRK9UWjxPI8E3m63/+OH/FvbGRNNGqUjujaKorRard1u9136azpdLoSQ2+Ox2+2KhnYNHq8HIfTpvkIt4toZk5QOp0n0ej1FUXa7/bkfTwxPM6RG4lHnMgyDEPJx3FmL458/npjZvY3SETWJ0WjkOI7neYQQx3Futxsh5HA47JRP6dAaw7Ksy+VCCC39o+jGdsaRGXiUtk6nczqdLpdbfOh0unhe8Hq9Kq9GDAaD3W7/8VjZ/uLaIUkStjZFeFyJN6KuG4THpz+E94uZx60fh8eooBFCl84QXsDpDKnDYXd+ICQgxAkCdudJXbwYzQDhMaz9RP791xjFzsnV7y55i1lylyb1YFQR1I2qcIKAT9QXYXefgxggLwgY5jjEIwK7sAUB8YLA4zbdrm5vY4zKu+4aAruTpG4OqYDVIDPPC5wsVTb2LeY6HD5/XXTprgwBz2acqC7hKRzHtYgBcgLC8Q41QRA4DOPmBCRP/RVyQr0fsIBnYSOEkCDuLIxJecvW8YZ9YsaxM8c/pak/sQXw3xYGC+J3nuMFHssMh19DX0CI57EMO+AH9as7pTGq/UT+pwdGLWbZvo/YJ+Y6ip+aB0psj353simvFAQkXPoDK96weGN34cY8S9NfHzA0pFT9O/qzo1WuIObmCCroUzlcan94U0HTXy/2qSh+hvz316Kvciua/npBuLh8juKRz91UcOi8rYkvDhiaUSpb1Lh9oz47GuxvKV7UzabsiNi87wr2F9c2/fWyVSPYjzHXfX8Uv0I/X+spsDib8kpxMWFxEE7xL9QZq8ukoZr++isX/lLM4VJbrZuL0l37BBYQgRDieOXPkNJaz4mmnSEiTh17B52pcjNkEAPGdQM0ikd+wuIstXma+GK/yRMCunR/oPxqXNyR0qbOT8Z3jNm/3lMw9IJKV9PPECRjxxv2Lea6P6ri14x8k2O4OE+YF5AgKN6M8/GCL5ii89tdSsm0wQlNvXQVLg0ZKF55cUJwM0cu9alIFlDT+DieC6bkhEszMZX+RooF3tQXX7zEJ658KDtOQE3/PtbFqHjtF6zLxUsQCn4vOT646becXGM0+Cdm1Ywxc03OcIJYeQnqqLx4IbhqV7jiB6UGbnlB8DUh7i0nrR/+XoQuJmaF5wnzTa5z88rt//ghX0CEGi7dgkoVSJywpo5hGo5vfukpVeriKGYT373uVUpfvDXfpeshZb6bTa+0X9xyMueCQ5CrqPFPzJd+ULw95GvyTHpxjJlTx+SvYCfQBvT4KYLjBaFpLeacMvues1VIHbeM+5p8eX7G6tx5qpLjVXGG+Dg+qBgE8XJTFV0UQZzbfN1gJ0Eg5bbFES83m3w9cWnheqWv74N1ZVe2YtE3vdL+5Yz1tNUVbAu72fBPzJfHmJUNJIgeP/FE5C9OnpIypibggmyTBYwxK/KlEsu5KaXt4y92qwbbjSwFHy/4mtbDwPGCj0cqmbfPX8oWTVR3zaR0eQc3THN5jEbR6UgXOxuCqUmQCk6SZlM2bk5oalHzguDleF6uyZhhkJgv/qB4jx+P/p+9+w6MosofAP7ezGxP7z1kISGNmtCLgCCEJkhHilEEEe7k9GcX0ePOgiKKHUXBQgcRPEBawABBpXdCSAiEnhDSt8/vj0mWzWZ3M7PZ3Znd/X7+uCPr7Mx33s6878yb994gltUuMt5VCKC5T6dn1SbcFM3fhYXeQCN2Tdm6hsZMWgCJmX27mYFGWoOh4Y7ZyWE1R8fxYQdquFzm/ZTk+pgGCaBvo96AEE3r2D0bd+dnzI3+wdsTffanpAFpDbTLGt7cPzEb/8H3kakzsO1pYjDUz46EBHCpy3XmDbrJP1xPZ2Bb7xubqmgBTGHAfqI3A410elogbSo6Pbc2FeMjUt4n42PfUIkaeu8jvqfkZC7u2XZsbPgH3yXNmWkh81gFsj9CdAYDM7IDEjMrxkst3q8Z2ddfxikvEN8tOYjLNSNDCJe69YmZRdhak3sm/o8Q1kWtN9BagzExC6ApiFNT9oN/8NzbjtOxXT8lJ99nJFOHsCxwt5vtx8ikZYLm7Xk+l1PS2IjlmlESDhjHrNfrlyxZUlNTExcXl52d3fIVciKca0ZOw6VoTDc0ZTs3qmZxuqtATWsuPk4qA+tnzFq9wXjfxvcBgvSsi7rhgRbb6w+n0ulpbm0qgnm6xKnzl9kVJ1+YCoFlgRsj5f0g4cosXL7KnP0Um3oDrdXTBldduDngjvnw4cMxMTELFiy4detWSUlJy1fIyYPhUi7ecBPsL76YhQTTlG3ncCmLf7pGfXMfi9LWGR7kbyHkCbZ3zDTS6mmhDKij2fZZq2d8rwzfBa4zcBiBzSzId8gNd8xcZkRAAjhIuHpwr0/zOb6DQyMWTetpmv3dVws5IDEXFBQolUqEkFKpLCjgMOOgQxivYHi/ZjQbNFlUrrIxHaDxSo3/bGFo1Gft6I2qqxVqNl9kvsNL5cvUtqZn1N7C+xWWZujUGQzGEhbCEWIWwtaL9yzWC8YuoEgAYesM5v3sfjlXWqNp/iXrvEdOI2wsXp2BZjP1LO9dKJhCMxZ4pVq3p/C+tYWF8yDPzLUKdTNTXT54uxRC/JW2ofFF57UK9d8llsOmEdLoaIOr5hXALb9a+fzzz7OyspRK5e7du1Uq1fDhwxFC77333oYNGxBC69atY9K2o1yvUMX8exdq+GVpuuG3NWlTxZjbla/F5W2vhP0mzJZs9CdNOzxsksC2z1KWW2kaNmooaeZqjknJmLBn4p6mMdgO20LMtOVHU6ZLEhgjhAzGE6/x8lxLu+lXml1D85ugaYSx2WJiktAZJxhqspstP0icFDbzZ/2HTjglHXA+NhSm6cKmB/aD0ra0g64L29KxbfV8dE7t54JqxCxy3kqbxZKmpZEZG/D3vD7cAm1ObW2tXC5vFEDLE/OKFSvS0tK6dOmydu3asLCw/v37I4RUKpVGo0EI6XQ6x7ZUGGi6Uq3PKbz/9C8XEUJrJ6V3j/Ex7e9aUqHp9+3xn8endov1ZbnOUT+f6RDh+/bD8cZPjt2oHr/m3PnnuohIC7X/sr9vfnPk5t+zO5t9TuBGbUrMn+0/PfJy37jHO4QhhPYV3p/xy0WE0KoJqV1jfE2X/+bvm8ssrdOakgp1v29P/DgupUecn/HD13cVHb5WtefJ9ta+9dKOwqsV6jUTUmzH/MeViic3XvhzdkawnEIIfXvk5nv7ryKE/pydEaYQERiRBFbpDCICj/zpTGqYYuHAVizDRgjtL7r/1KaLh2Z1DvMRMZ+8u//qnyWVmx9Pt/aV9p8eeb5XzBOdI2yH/drOoqL7qtXj6/duzKqzJ29WB8pFJ+ZkNO0R3fGzo//qFTO9UzjLsF/dWXT5Xt26ianGT2b8kp8YLHu5b6zF5ZkyPDCzU4Sv2HbYnT8/9lzPaGMknT4/WqXSZSWHfToswWz5A8UVT2y4cHBWp3CfB+u0rdPnR//RPfrJjAdF9/Tm/DZBVsN+bWdRflndhkkPdtMsBoSQiMD7r1RMW3/eNJIJa84fvV6ZGeO/bmIyRphGDwr8jd1XLt6tXW+yTtsOFldO33D+j6c7RvlJjB/2X35yTreosemhFr+S8cWx2V0jZ2RGmn5osbR/PHF78YGSE3MzmA8zvzh2v047uVPkuwPj9TSNEdbTtIjAWgOd+cWx2V2jnsqMQOzM333l7J2aTZPTjJ9o9HTqx3+tn5TWKcqn6fJ5Vyunrj+/b0bHGH+J6ecWw358/YVYP/F7g5UIodIabfevjiGEXu/famZmhOmxffha5ZR15/c/3THar9E6bejy5bGnMyNndnlQdKtO3nlzd9HxuZm+Esuz6P944vZ7+6+efa6LjdUSGJXV6rp8cfTb0W37KQOMsSGEVoxL7R3ny0zArjXQIgK/vvvKiZtVNmqApu7V6bp+cXTZ6LYDlAHMJxfu1g3/4dTRORn+VqbQf3z9hUhf8YdDHtwoNj22CYx+OnHnnf1Xz/wzk/nkr5KqyWvPIYQ2PZ7ePkIhJgm5yPGdpoODg03/dEDnr8TExKKioi5duhQXF/fq1Yv5UCqVSqVShFB5ebnBodM2YoT8JaTxiAmQkmbFVCUhEEK+EsLfylHVlJgkpBQ2XT7OX+IrIUPklstHLiIIjFiuX0QSClF9MH4NR0yAlDT7uo+EJDFmH3OVhEQI+Ygb7aaPmAySUTZWIqGwiGh+K35iAiEU0FCGioa3XATJSB9xfWlLSBIhJCYJmYhDUSOEfCUUQsjfpAQifERtQ+Q2VkISWC4yL7Gm5GJCQj4IRkQSCCEJZX6EMCgCyykOBS5tUnRhClGkr8jaGnxEBGq8m9ZQBFKYlCFFYISQxFJszOtGAqS2fmIzJMaKxgdJuI84wsdq2GyPEAmJEAo0iUREIoSQTEQ0fSeKjCLEJIeiZo4x/8a7GaoQRfuJra2E5RGCEPIRkSKTYJjXcyjEFg4SkkBmRWeblCLEpPnyPhIqLkBicSX1uylhFbaEfLCDxoZuX7F5krDjCCEwkjc+hQOkFEUS0b5iaz07ZRRBsjhImLtMv4Yd9GtYvukuS0ksIVmVg9nKTSvAOH+xiCJj/MSElbhFBJawOA59JY2OED+TfzAfuuChuAMSc/fu3T/99NMPPvggIiIiJiam5Stkw3gwismmpxNGDbUb27U1eZWMMlD6v6lWL98IjK399k2R+EEwuOFhStPX9ZAYk5xiJjBqaK01EpPY2kVu/bcwZrMRJqVRDa0FZMNWLJU2534KTCGYhvFE54g6ra2rNwJjzOI5FEUQpr87E7XFNg8mAIrgEHvTH/31fnEK69fOTCBsjhOKwKZhM6Vt8WBgFiNZH3sIIYIwD/vVvrE2LvnZHiH1kTz4hInKYmmTBMdjGz/4X6MvRiTG+lu9C8SIZrkFisSmBcgE1vTARswpyWXMAYEtjA/bNi09IUBqZXmMGk7kZpH4wflo/IaoSdhUk9+lWUSTmkdMYh+xraOMwGwPbIRMw7ZRjbA66kwxi5tGGekr3pPdzkZgFn+gpszOR+M/uUbYEg5IzCRJzps3r+Xr4cTk0GyS4eozFoe14Sb1IMYoJVRudXl2xyXD9Gc2bkVMmR+aGNEcLyYarZAhoUi5yHZiZhU5s1pRQ96qT4oYN63PSYw5hY2M9ZHJJwFSykrdhRoCYBc2Rk3K1XKdi+qzRbOrfKBp/RXla6s9mbnYY1M2FIFND+P6X9bS/hL1OZtNvA1hIPN3d9gOm+VFJ1F/0UOYfGI1wxFcLyawheuP1kG2DhGM2F4rk9istK0nZo7XE9jST2O7GkGsayqKIChsrEbqP2x6fY8bFma1UsQEYJ4UJVQzrbUsS5tqXI08uJuiLFTa3KsRJpJGbJQ2Qgizu/khMLKYmLlG2BLuOsGIsXybHpr1l2ncDk1uiZzT8qaJ2Xg0Wwqb5aWzMQYL9b6YxLbPKAJjNpshMUL4Qd5iShtjC1foXCsvZLwf4tg8wPrW0yRCGiFLRc3g3ETB/SBBLK8nCAv3cBZjI63nbOthcLsXYbmbDWeZedgWS5skLO+O9RgwYld0Jl9BbNpUmGAat08gZClVIHtu9Dk0pCGOu0mR2MKtZ5PrUGYZ7r+4+R2z3OY72gmC1Sbqq5GGJY2FSTXZZa4nI7JSATb3FbbHduPEXP9vF94wO+KOmRckgZGVpjOL7WC2ERhzei86waXWMP2ZKethkwS3Crd+4cZ1kY+YtNbxgdG00d4iJgGTD67QG135NgqDXco0+wri+gMhxOZCi2p8E9xwV2d5SxSJOV2W4oabYJbqr2ZYLClqXBFQ1svHnqLjmC1Y7qaIJFDjytRGaXNtqGy4GeLwJI/9booaB1P/5MvSd0nM9RqIW91NNHyLDcokGOM/LLZgsV9nfRhNfm8fMeln84kYye76nrlKNh4kNtoL7WjKtuP6HiPE5icSkYTpgW0sba4VXUu4bWI2HppN7+GsP6KzhvvNEIcq2jRbPGiBb7I9ri2rTLVltptPZYTrbPa0Y3ljQREYY5Mzimnua9pMzFRedl7qcv2BWN0xm9akGCOMrTZlE5wPEq7ZhW0VSZEWnjFb3F/metTZxzbbmyFLz5itP6zlFjPi2qbC+ukSRRJNGyotX09w7/bB7agmmADYht3o1hNjRNMWW7BQi2u/HrF+a00Gblj6Cqs+Hxg3ekxjcj3R9G6K5vRcHNldjbCoY0nc+MBucmHhAu6amJkSWjwyNbRJx+n6uwoua7OjDYr90qbVLvP/72UlhSlE5uvkejpZunkSk4TNJihOD2sfFCFJ4JgA6csDEi0sSXDrIIO4tPEaYXbZwqwNCiPcMdJ3bs84iwvb0SOJ2/0Q690kcaNrMpJA8UHyCR0sjNKx737ISddAuPE1GUngQYnB49uFNV3Y3qZs9t9ABIFZPryizI5tjCd1ihqcFNJ0STtu9DnewLFtU0HMsd2489ecnvGdm4zCIjDTetyiXxxjFGCz4Q0jmuXZYNr1lSn1d4alxAZIzaZqpAiC8/U9gRH3a2U7OmMy/5zcKSraj+0YxZZz72fM/+qrtHzNyLFHEkFwbNXk0sZF4gcPPpnD4h894yw/rOXY5Ig4pjdkqQeTRRSBTW+PMUIyipjTq5XdK2yERtzPKLYPa01vfTBGUX7i8e0tj1QmuDZUcvyBmDsK+55pxQdIH24T3HRJ5qjh2kmQ420cu2sgEps92iAwahfhM6B1oKUYuJ2PDb2iuJ0ObDt/NT62CQIPTAxuF2FhnDHBOcNhglvz+4P/bVajDIcRQmhSx4iIJsPZG9oL2UfB9OTisDxi3YsK1d/oN4SNEELon70TJJaeP3KtRhoGd3D9gZpHEbiPdOJ3AAAgAElEQVRxr0aEEJrUMUJqqcnQSdw4MVv7IZlzg1s7GKI5VbkNT4pZEZEPKgISY2vN4BTHy/OGx41cEzOryMVUo+Y+G6XN9Tkcsityto/GzZqybR7fXC/SWbaDGbHfTRHZqCKgrH+H+fk4PzPmmC3YFnXj0iCtt5lTBKuWT5NV2dVKyW7xpk/0rW2I62MagmMvBE6NsaJGDW8YW9nf+qZsbp0hOFcjJOsviEybspl7XEtx21GN2Nf5i81GRCRu+ozGxdy1KdvGUyv7xjFzvvJivfh7jySkhSmMsVnNcNy7gCJ2XaIafYvdY7AYP/GKx9o+iM16MiAJTGBuw+2ZvcSIZt/PkWW1OyYtpFL9YMZsbLOLil0PX7mlCsSuL8J/Hm6VGvZgmIeN6oMiCDvqL44Pa1ntZqSv+KexyY2+6Nhj2zmtlAihbrF+7z6SYPwTWx/1yzlsdn2VHyzPJbU80yXKx6RDlrXn3w09B51Y+yEu5853jyXFNYw+b7hosLCYHZ2/mBOB05dY7mlmlO+iwQ9mB2Pfi9OB3DUx2zgHmMtJrkPsOR0WmMuldJfoBzODEhhZa+wiMOcmSsT9cGHZfktg3LeVv+mf1mIzbahnCXPvnceyoTLSVxxpMkgX27w+Mxs20yyuDZvsxzF3iWk0dyxpvW8hybHqR3a02LMd69noCEFMa5C1hTleKDc0ZbP/BtMwwIpcRJiekjaef3PtP8H1sQ6nFvukEJn5tix9kWkT5tj+x609A1ma+MGaPvGm1QhCVscBch7HjK2vzepXEM1meZmI6BpjWmkzt0AuTc3u2pRN2DxvuXendPo1ZsMXrf7A3IfVcr6rQHadhMjm9az945id1kRhZLvVl2uBY0RzbRNG3J81MIFZ+449wz053ouwn0LLfEPWr1btnfmL0ylszxGCbGZTrp3JWV4+mmwaWWvaZbEtyzmGa1cVxL3PGmL9aMkMWd8CbyVs7uXAuRHLroPEvlugFnLXO2bbP+SEdqG2exWasaOV0r7fycap3iZY9nDDbOxs2NH3AdU3J9hxAli9DOoZ59cqgO10+QyuV/QNAdhz3to4SB5pE5gQaHO+sSZrc9I4ZjOU9cwcJKPGpVl+i4PVMOwYcWDXwU2RVqv39hEKjucjQhyLjutuGtl4xjywdYDS5nRj5jFwjKAlNT5l5cgOlFLj0i30MLeB6/UEsusURjbP4nbhChn3N0Nw7zaP7ai5G6ZXcmlqdufEbL2kPh7amtPauPbrse+CEdm8nkgMlr3Qi8NM4/Z1/rLvfsjGjdqUDhaGxzQXA/eOHoQ9NxbY5qDtl/pYfr2S1Rg4PpPG9d/ifj1hvbJWiMnFWdxeosr1fsjui04b4/36xPujeIv/xVoM3B92cPx1jEjrIzL+rze3mf/t6KqCOHa2MDIbYmckExGcaz/uz0fsyOXIZqXdM86vp8lb8liHQTuph6ApEu6Y2Yv1a/T2rhZi/4CKwTWRG8U4Lmw7OiUiexvhu0T7vNjH8mhgO9hx+0uwnnCxEZp2YI9KrkWHG2Y44Yqy+6bVWhjOmULLzLROYaG+suaXc04M9qUKhNALvWJ6xHNoqbIZA7erXk69ss0szlLG+kt1GrUd320ahvM6f5kKlYs+Hc7toqG5MOy4Y7ZnKwjZcyK3hLsmZhFJPJpiYaCnfTh3/rK3D72IJEY5LmyuI2eQzQeBNgTJRQNbc2jTs42ZtYjTV1rwUN9xGY7r4BmOTyhNv+jAjiach1fZdYQghDKifEUi82lz7GPH7a8dD0oZDysDfOQivV5vx3fNsJwGx2R5hOydT2pUSrCIJHTNL9g8O443+w4SksCPpXJrZm82DK43VHaEzamPnqM4PTFLJBLnvb0SYyyVSlu+fhFFSsRimYzt9b5UIqFIkv3yZiiKsvu7pgiMZVIJp1WJRCIRpbNj68y1pkPClstokiQ4rYokCKmEww/EoChKLKZEIpFDwhaLRCJKy35VchlNYGzHpsUiksCEow4SiiQ5FZ1YJBJRGvs2TZIkQoiiWlqryFWIa9Fx3c1G36Uowr4WsMYkYpGIy69mx26aEolEDqlaKZKQSrhVI1KJhCS4ncKNvi6VGgw2pw5mh8BYLpOxD0NEURIx59pATlMIoZZU+M3S6cwvsZyemNVqtUOuRi2Sy+UqlarlvzFtMBj0urq6OpbL63RaRNPslzdDEITd3220Hoy1GjWnNRn0OoNeb8fWSZKUyWQOCVurUWOEuK2KNui0Wq5bN+j1Br1ey/2LVtbGreg0GjVGdh0kBgMiCZ2OwwFpC8ei0+u0tMFg36aZO2atVmvHd01p1dyLjjZoNRr7wiZJUm/XSWFGr9PRBi5HiFpNYI4nggmMsUqlckBupmmdllvR6bT2V4BMpe2QpEBgpFGr6urY3ssa9Ho7Tiu1SocQMnD5ZVvOXYdLORbX3n2Y40xhTkIgmutDE4c+vrSTHU1n9oVtdx89i7h3b7azJyfFdfJxm7i+/suxhWYfzH3YqBDCttHB2yLs8r6+FtnR3c/uHoKOxfIlV0b2he3aAcz13PUZs2NN7xTe9K0SNgihFkAIfTS0NaewEfd+jM4Q5St632TqJTbsGy5lz9gI64YkBnaL9W1+uQZ2Pyom7RrSZs3zPWM6RyrYL891pjBniPDl3EfS7l4IDjSoTWDHSAtzbltjZ5dGR3uuR3RGFIcDG9VfOTkpHA7efSQhhsuLJew7SBo6z3vWM2a30C2G23HpIyZ9xPwfmOPTuQ1pRQj5iEmFyOb7p5xPRBLjOEbuIyZ9bL82yxL7OkVb0yaY2xMmGUX4Sew5vwiugwRsGpxo4a0SNviISQX3EaWORRGY67HtIyF9bL5C2AWUgVIll5HxMoqw/fZ013ikDbcjBNl7Pjrc2DRuXckUYsJHwvnYrh9uDr2yha9vK/8eXG6ehOOpjEi90/riOc/6iSlN38fVLIz4vIsKVYiOPdvJji+SBHZAxxh7Te8U7o5HyOpxbe04QvgVJBednNOZ7yjs0SXGd9OkVL6j4GxB/3j775ghMbsFt6sFGBgjiu8WPzvYV9p2j/xxFPvCJjHHt4I4lFcdIbxz07CRe0ZuX23Ay3Ap9ytcAFjCPHXcaCGSEMKTRwAAQg1vJXBxRQKJGXgsjF3dZcMhSIc+GgcAtARzmezi1AyJGXgsjBw5hZbLcB3gBABwHlzfK9ulIDEDD0a7Y34jBTDWHADAsPv9rS3aqCs3BoArCWS0JVdc3x4IAHAeXnplu2G9BQA7WACTTtiB5KGvCQDAKtdPmAiJGXgsx8785TJwxwyAoLi+JoHEDDyWQOYi5ooUyIyvAACEUP0ds3s+Yy4oKHDeW6QAsAPX9+MKBAl5GQAhwS7vRuqAxGwwGE6fPv3ee++1/HVvADgQdnlfSoeAZ8wACAqBMXLtpD8OSMxqtTo/P595RzoAwoGF8fYeruAZMwCCQrh8qiIHzJUtk8nGjBlz4sQJ0w8//vjjLVu2IIS+++67+Pj4lm/FIoxxYCDnV6MIgVTK4S00AoExDg4O5jsKDqSSqz4KhUwmk8m4vRiKXz6KMpG6ViqVSiQSvmPxChhjmqblcjnfgXDmXgc2A2McEBDAdxTcEAQhlUqCgzm805OTuro6s0/sT8y7d+8+e/Zs9+7du3Xr1vS/PvHEE+PGjUMISaXS+/fv270V2wIDAysrKw0GHl/GYw+ZTNb0lxA4giD8/Pyc91M6g06rVatVDL5j4UCrVhsMBrVaXVtby3cs3FAUhRDS6XR8B8KNXC43GAzudZAghKRSqVqtpt3tVWABAQFuV2ljRGs1GufVfgaDwey60P7EPHDgwIEDB1r7rwEBAcxlUXl5ufM6hdE0rdfr3es3Rg1h8x2FPdwtbBrRtNuVNoFpjNwvbIQQQRDI/Q4SRNO0wWBwx7D1er3bJWaEkNuVNvNwyZUxw3Ap4LGwvS964xdFuOkAbAA8E0m4enyHw97HvHDhQketCgCH+GePaD+J+/VJHJsWosUivqMAANRb8VhSq0CZqs51j5YclpgBEJrEYPfrGoMQCvcRu2OnHgA8VY9YPxe3vUFTNgAAACAgkJgBAAAAAYHEDAAAAAgIJGYAAABAQCAxAwAAAALi3om5pKTE7WYXQQi5Y8w6ne7atWt8R2EPd5yBobq6ury8nO8ovEV5eXlVVRXfUXDmjgc2QujatWvu+LojF1fa2E1/XUbPnj23bNkSEhLCdyCe78aNG5MnT963bx/fgXiFH3/8saio6M033+Q7EK/wn//8Jy4ubtq0aXwH4hUGDBiwcuXK2NhYvgMRNPe+YwYAAAA8jHtPMPLoo4+642ua3JFcLh8xYgTfUXiLpKSkoKAgvqPwFp07d3bTl9S5o+HDhysUCr6jEDr3bsoGAAAAPAw0ZQMAAAAC4gZN2bW1tZ988kltbS1FUa+88gpFUUuWLKmpqYmLi8vOztbr9aZ/1tbWLlq0SKvVhoWF/fOf/8QY3tLDge2iZpYpKChISEggSdKs5PmN3B1xKm2zhSUSCb/Bux1OpW38VlVVla+vL08huzFOpU3T9PLly+/cuePr6zt37lyotBFC5FtvvcV3DM3Izc0NDg6eNWvWzZs3S0tLb9++jRCaO3fujh07EhISzp49a/rnkSNHgoOD58yZk5eXFxwcHBwczHf47sR2Ufv4+Jw5c2bx4sVDhgyhKCovL8/0v/r5+fEdvpvhVNpmCyuVSr7DdzOcSpv5Sk5Ozv/+978ePXrwGrhb4lTahw8frq6unjNnjk6nE4vFPj4+fIfPPze4Y46JiQkNDUUI+fj4iESigoKClJQUhJBSqSwoKCguLjb9MzQ0NDc3t7y8vKysLCAggOfQ3Y3tog4ODs7PzzfeT5j915iYGB4jd0ecSttsYR7DdlOcShshdPv27f3798Plpn04lfaFCxcIgli6dGlqampERASfcQuGGzxjTkpKCgwMPHLkSF5eXteuXaurq5mBy8HBwdXV1WZ/JiYmFhQULFq0iCRJ6NfKle2ilslkY8aMCQsLYxY2+698xu2eOJW22cK8Bu6WOJW2wWBYsWLF1KlTeQ3ZjXEq7Zqamlu3bk2cOPHQoUMnT57kNXChcIPEjBDasGHDgQMH3njjDZlMplAoysrKEEJlZWUKhcLsz7Vr106fPv3dd99t3749zIZhBxtFbbak7f8K2GBf2mYLuzxST8C+tDds2PDII4/A0+WWYF/acrl80KBBYWFhffv2vXTpEh/BCo4bJOa8vLyqqqp58+bJ5XKEUGJiYlFREUKouLg4MTHR7E+dTsfMnUbTtE6n4zdyt2O7qM0Wtv1fQbM4lbbZwoArTqVdW1v722+/LV269PTp09u3b+chXDfHtSZh8nFhYWF4eLjroxUgN+j89b///e/cuXO5ubl79+6VSCQ9evTYs2dPbm5uREREnz59oqOjTf9s1arVypUrc3JyqqurJ0+ebPrQCDTLdlEzy+Tk5PTt25eiKLOS5zdyd8SptM0WjouL4zd4t8OptDt27PjQQw+lp6ffvn0bpuq0A6fSjoqK2rZt27Zt2xBC48ePJwg3uF10NphgBAAAABAQuDYBAAAABAQSMwAAACAgkJgBAAAAAYHEDAAAAAgIJGYAAABAQCAxA+At3n///U8++YTvKAAAzYDEDAAAAAgIJGYAPJlOp5s7d26rVq26det26tQphFBlZeXw4cNjY2MTExN3797Nd4AAAHOQmAHwZN99911BQUF+fv6WLVv279+PEPr555+Dg4OvXbv2zTff7Ny5k+8AAQDmIDED4MlycnKeffZZsVgcHh4+btw4hFCfPn0OHDjw4osv6vX6999/n+8AAQDmIDED4MkIgsAYM//WarUIofT09FOnTnXo0OGLL74YNmwYr9EBACyAubIB8GTffPPNr7/++ssvv1RXV7dr1+7FF1+8d+8eTdNvvfXWjRs3UlNTKyoqjJkbACAEcMcMgCfLzs6OjY1t27ZtVlbW+PHjEUJPPvnk7t27Y2Nj+/fv/+WXX0JWBkBo4I4ZAAAAEBC4YwYAAAAEBBIzAAAAICCQmAEAAAABgcQMAAAACAgkZgAAAEBAIDEDAAAAAgKJGQAAABAQSMwAAACAgEBiBgAAAAQEEjMAAAAgIJCYAQAAAAGBxAwAAAAICMXLVuvq6gwGAy+btgZjLBKJNBoN34HwgCAIkiSZl/V6G5IkEUJ6vZ7vQHhAUZTBYBDamegaIpFIp9N54St8oKITZkWnUChM/+QnMatUKqFVhQRByGSyiooKvgPhgVgspiiqrq6O70B4IJfLMcbeue9+fn46nU6tVvMdCA9kMllNTY3QaiEXgIpOmCe7WWKGpmwAAABAQCAxAwAAAAICiRkAAAAQEEjMAAAAgIBAYgYAAAAEBBIzQAgh7xs2AgAAAgWJ2dvRNFqwu6jVu/s2ni3lOxYAAACQmL0bTaNXdxX9duHuu1lJ7/5xdeya85fvqfgOCgAAvBokZu+lN9Dztl3OLa74bXqHyZ2iDjzdsWu0z8Pfn1q476paD03bAADAD0jMXkpvoJ/bdvn07ZqtU9IjfSUIISlFvNQnNufJ9qdv1/RedmJv4X2+YwQAAG/Ez5ScgF8avWHWrwXXK9UbJ6UGyhodAwmB0nUTUrZcKJv7W0GnSJ9FgxOi/SR8xQkAAF4I7pi9jkZPP/XLpbJa7abJ5lnZaGRycN7MjvEBkj7fnlyad11vgJZtAABwEUjM3qVWa5i8/oJGb1g3McVHTNpY0l9KvTMoYfPktN8u3hu44tSR61UuCxIAALwZJGYvUqnWjV19TkLiH8YmSylWP337CMWO6enZnSMmrL0wZ2vBvVohvjENAAA8CSRmb3FfpRu35ny0n3jFY0kSErP/IoHxtI7hh2Z2QAj1+fbk2tN3YTYSAABwHkjMXuFujfbRn84qA6VfjkwUkfb86OE+4s9HtPnq0cSP866PWnU2v1SI7zQFAAAPgGk+bn8E+KpqjLFUKhVgYC13q0o97PtjPeMDPhmZTGAL98okSVIUpVar2aytTqv/KLf4k4NXZ3WLeX2AkmWTuGCJRCKEkFbrjU30YrFYr9fr9Xq+A+GBVCrVaDQGg4HvQFzNgyu6ZnGq6FxJq9X6+fmZfsJPYi4vLxdadUAQRGBgYFlZGd+BONi1CvVjq84Naxu0oH+8paSMEEJisVgmk1VUVLBfbWG56uXfi66Uq94fnDBAGeCYWPkgl8sxxjU1NXwHwgM/Pz+1Wi3AesoFgoKCKioqhFYLuYCnVnRs2FHRuUxISIjpn+59uwNsKyirG/7jmZEpwW8NsJqV7aMMlK6fmDK/f9zc3woeX3/heqU3Vu4AAOAMkJg9Vn5p3ehV56Z1Cp/fL85JmzAOd+63/NSyIzdhuDMAALQcJGbPdOpWzcifz8ztHvVCrxinbogZ7rxxUuqGM6UDV5w6egOGOwMAQItAYvZAx29Wj1tzbn6/+FldIl2zxfYRim3T0ie1Dxu/BoY7AwBAi0Bi9jR51yrHrTn/9oD4xzuEuXK7FIFnZkbCcGcAAGghSMweZW/h/SnrL348tPXE9i7Nykamw51Hw3BnAADgDhKz59hZUD5jc/5nw1sPbxvEbyR94v1znmzfM87vkZWn4e3OAADACSRmD7H5fNnsLQXfjU7KSuI5KzOYtzvvfbL9qVvwdmcAAOAA3sfsCdafufv67iurxyd3jfHlO5ZGmOHOWy6Uzdla0DnK54MhyihfMd9BAQCAoMEds9tbcey2MLOy0cjk4MOzmOHOJ2G4MwAA2AaJ2b19dvjGogPXfpmclhEl0KzMYIY7r5+YuuFM6aAVp2G4MwAAWAOJ2Y0tzbv+5V83Nk1KTQuT8x0LKx0iFNumpU9sH8oMdy6v0/EdEQAACA4kZnf13h/XVhy//dvU9ORQ98jKDGa488GZHRBCvb85sfb0Xb4jAgAAYYHE7H5oGr2x+8r6M3c3P56WECjlOxx7RPiIPx/R5uNhrRflXhv1Mwx3BgCAByAxuxkDTf9r++Wcovv/m5Ye5y/hO5wWGdQ68ODMjjDcGQAATEFidid6A/3ctsJTt2q2PJ4e4eMJ447MhjvnFAnxVakAAOBKMI7ZbWj0hlm/Xiqp1GyclBoo86gfzjjc+dktl2C4MwDAy8Eds3vQ6OmnfrlUWqvd5HFZ2QiGOwMAAILE7BZqtYbJ6y9Ua/Rrxqf4Ski+w3Ei43Dn9TDcGQDgrSAxC12lWjd29TkxgddMSFGIPTkrG3WIUGxvGO78wvbCSjUMdwYAeBEHNIrq9folS5bU1NTExcVlZ2czH9bW1n7yySe1tbUURb3yyisSiXv3H+bLfZVu4toLMf7iL0e0EZGY73BchxnuPDI5eGHO1R5fn3izf/yEdqF8BwUAAK7ggDvmw4cPx8TELFiw4NatWyUlJcYP27dvv3DhwqSkpNzc3JZvxQuV1mof/elsq0DJVyMTRaQ3tm2YDXe+VAbDnQEAns8Bd8wFBQUpKSkIIaVSWVBQEBMTgxCKiYkJDQ1FCPn4+IhEImbJw4cPX7x4ESE0ZMgQHx+flm/agTDGGGOZTMZ3IPVuV2seW32qZ6vAJcOTCOzce2WSJAmCEM6+mxmZLhvUNnzJgauDVpye1S3mtf4JUsphlynMwSnYfXcqkiTFYjFBeOM1H8ZYKpUaDAa+A3E1oVV0riTYik6nM39a54DEXF1dHRISghAKDg6urq5mPkxKSkIIHTlyJC8vb/78+cyH9+/fv379OkLIYDCQpLAel2KMEUICierqfdXQ744NSgz+aHiyk5MyQggRBIExFsi+W+RDkvMHtpnUKeq5LRe6fvbXxyOTByUGO2TNTD0l5H13HowxQRDeue+o4bDnOwpXE1RF52KCrej0er3ZJw5IzAqFoqysTKlUlpWVhYWFGT/fsGFDSUnJG2+8YbxCGTJkyJAhQxBC5eXlxhQuEARBiMViIUR1+Z5qzOpzY9JC5veLqalxRTxisVgmkwlh322LkKC145K2XCh7ct1pRw13lsvlGOOamhqHROhe/Pz81Gq1Wq3mOxAeiMXi2traphWixxNORed67lLRIYc8Y05MTCwqKkIIFRcXJyYmMh/m5eVVVVXNmzdPLnenVyzwLr+0btTPZ6d0CJvfL47vWAQKhjsDADwbpumW1mt6vf7TTz/VarXh4eHTpk3Lz8/fuXMnRVEXL15ksnJWVlbv3r1Nv1JeXi60a1WCIAIDA8vKyniM4fTtmnFrzv2rZ8ysLpGu3C5zIVlR4WbTYZ68VfN/Owr1BvrDIcrOUXZ2WYA7Zu+8Yw4KCqqoqBBaLeQCQqjo+CLkio55HGzkgMRsB0jMTZ24WT1h3YWXesc8lRHh4k0L+Xi1TWegvzt26/0/SkalBL81IN6O2VcgMUNi9iq8V3Q8EnJFZ5aYvbFDpgDlXasct+b82/3jXJ+V3Zrx7c4qnaHHMni7MwDAE0Bi5t/ewvtT1l/8aGjrie3Dml8aNMEMd14yVLko99roVedguDMAwK1BYubZzoLypzdf+nR46xFtg/iOxb0xb3fuEes7aAW83RkA4MYgMfNp8/my2VsKlo9OHJoEWdkBjG93Pnmrps838HZnAIBbgsTMmw1nS1/YXrhyTFK/hAC+Y/EoykDp+gkpL/SKeXbLpcfXX7hRpeE7IgAA4AASMz9WHr/92q6itROSe8f78x2LB8IYTWgXmgfDnQEAbggSMw8+//PGe39c+2VyWma0L9+xeLKAxm93PnbDDWb8AQAASMyutjTv+hd/3tg0OTUtDOZEcwXj253HrTn/wvbCKrXXDV0FALgXSMwu9X7ute+P3/5tanpKKGRl14HhzgAANwKJ2UVoGr2x+8q603d/fTwtIVDKdzjeiBnu/FGW8n0Y7gwAEDBIzK5goOnnt1/eW3j/t6npcf4SvsPxao+0CTw0s2OPWN8hK88syr2m1nndG3kBAAIHidnpdAZ6ztaCk7dqtk5Jj2zxawpByzHDnf83NS23uKLb53/uvuSN8wYDAATLAe9jBjZo9IZZv166WaXdNDk1QAqlLSDJofItj6f/kl8xc9O5lFDZm/3i08PhwT8AgH9wx+xEGj09Y/Ol0lrt+okpkJUFCGM0pVPkmX/17B3nN2rV2ad+yb9a4Y2vWgIACAokZmep0xoeX3+hUqVbMz7FjtcRApeRi8l/9oj+65lOrQKlfb89+dquogqVju+gAADeCxKzU9Ro9JPXXxAReO3EVIUYsrIbCJJR8/vF7cluf7ta2+Wr40vzrsNrMAAAvIDE7Hj3Vboxq88Hy6mVY5IkJOY7HMBB6yDp8tFJq8cn7758v9tXx384cdtAQ3oGALgUJGYHK63Vjvr5bKtAyVcjE0UkFK9byojy3TIl7ZOhym+P3Bq88syBYnhLFQDAdSBzONKdGu1jq85lRPl+MaINRcC9snt7KCFgT3a7qR3DZv16aeya82fv1PIdEQDAK2Caj5a62tpaXrZrA8ZYLpfX1NTYvYar91XDVxwf2CZo8bC22K2SMkmSIpFIpVLxHQgPxGIxQkijsfVqyBqN/us/Sz78o/jhNkH/HdwmLsBDJm6TSqU6nU6n88aebnK5XKVSGQxeN71Myys69yXYik6n0/n7N3rNID9jeNRqtV4vrHcJEAQhk8nq6uycpvFqhXr0z2dHpYbM7xenUrnZXI9isZgkSbv33a1hjDHGtvedQGh2Ztjo5IAPcku6fvbnkxkRz/WI8pO4/fg3kUik0WjUam8cISaTyVQqldBqIRdoYUXn1tyoooOmbAfIL60b9sOZie3D5veL4zsW4CwRPuLFWcqdT7S7Uq7q8tWJpXnXNdBtGwDgBJCYW+r07ZqRP5+Z0z3qxd4xfMcCnC4xWLZ8dNJPY9r+XlDe/evja0/fFdgzGQCA24PE3CInblaPXX3u/3rFPNMlku9YgOt0ifH9bUr6WwfJJeMAACAASURBVAPiPzxQMuSH04euVvIdEQDAc1hOzHfvwgtrm3f4WtW4NefffrjVjEzIyl4HYzQyOfjQzA6Pdwh76pf8sWvOn78L3bYBAA5gOTFnZmY+9thjW7Zs0Wq1Lg7IXRworpi64cJHQ1tPbBfKdyyANyKSmNYx/MjsTl2jfYb+cOaF7YW3q2118AYAgGZZTsyFhYWzZs1av35927Ztn3/++ZMnT7o4LIHbdbl8+sb8T4a1HtE2iO9YAP8UYvKlPrEHZ3ZECPVYdmLhvqtVaq/r7gsAcBTLiZkkycGDB3/++ecvvfTS8uXL+/Xrl5GRcfDgQRcHJ0y/ni975teC5aMThyZBVgYPRPmKF2cpt09Lv1Kuyvzy2LIjN3UG6BgGAODMcmJetWrVqFGj0tPTT506tXXr1rKysm+//XbatGkuDk6ANp4tfX574YoxSf0SAviOBQhR2xD58tFJyx5NXHv6bp9vT265UMZ3RAAAN2N5koS9e/fOmTNnwIABJFn/ZqROnTq9++67LgxMiFYev/3f/VfXTkjOjPblOxYgaA8lBOxuFbD1Ytnbe4u//OvmWwPiu8XAMQMAYMV8Ss5x48ZZXG79+vUO3Gp5ebnQ5twhCCIwMLCszOr9zfKjtxYfLFk/MTUtTO7KwFxALBbLZLKKCm98VYNcLscYO2+GQo3esOL47UW5Jd1ifP8zsFVCoICm8/Tz81Or1d4581dQUFBFRYXQaiEXaLai82BCruhCQkJM/zS/Y37mmWdcGIzbWJp3/eu/b26clJoS6mlZGTiVmCRmZkaOSwv97M8bA7479VhqyCt9Y0MVIr7jAgAIl3lifvjhhxFCer3e2IiNEDp8+LBLgxKY93OvrTl997ep6YK63QFuJFBGze8X92Tn8I8OXu/29fHszhHP94xWiMnmvwkA8D6WO39NnjyZeedMaWnp008/PXHiRNdGJRQ0jd7YfWXd6bubJ6dBVgYtFO0nWZyl/GVy2vEb1T2WnfjhxG09dNsGADRhOTGnpaWNGTPmyy+/bN++fVhY2Llz51wclhDQNHpt95W9hfd/m5oeHyDhOxzgITpEKDZNTv10WOvvjt7quxy6bQMAzFnulf3mm29++OGHL7/88p9//pmSkuLimIRAb6DnbS88c7t665T0YLnbv+APCM1DCQF7n/T/7eK9t/YWrzx+e0H/+PYRCr6DAgAIgnnKefHFF43/DgsLmzNnTkZGBkLogw8+cGlcvNLoDc/8eulqhXrjxNQgyMrAOQiMRyYHD2od+M2Rm4+tPvdQK/83+8dD2wwAwDzrpKenW/y399Do6ac3Xyqr1f4yOc1XAt1zgHPJRMQ/e0RP6RD2+V83H1p+ckxqyGsPxUEjDQDezPwZ8/QGJEkeP3587NixgYGB06dP5yU416vTGh5ff6FCpVs7IQWyMnCZILlofr+43BkdVDpDj2XHl+ZdV+uhXxgAXspy568333zzp59+2rFjB8b4gw8+ePXVV10cFi+q1brJ6y+ICLx2YioMZQGuF+sv+XxEm7UTUvYU3u/21XHotg2AdzKf+YuRnJx85MiR0aNH79q1S6VStW3btri42Noq9Hr9kiVLampq4uLisrOzbXxoJMyZv2ZsuazXar8a2UZEWr5e8VRCnhDH2Zw985fdtuXf+8++qzIRsaB/fN9W/s7YBMz8JbRayAVg5i9hVnRmM39ZzkBqtdr4Jma1Wi2R2OqQcvjw4ZiYmAULFty6daukpMTGhwL3yaj0ZY8meltWBsI0NCnojxkdpnYIn73l0oS158/dreU7IgCAi1hOQnPnzh08eHBRUdGCBQt69uz5j3/8w8YqCgoKlEolQkipVBYUFNj4UOBi/KUkgfmOAoB6FIGf6Bz+9+zOveL8Rv509qlf8q9VeOPdLQDexnLnzxdeeKFTp0779u2TyWQ//PADM2LKmurqauY2PDg4uLq62saHO3bsOHbsGEIoOzs7MDDQgbvRchhjjLGPjw/fgfCAIAiSJL1z3ymKYn56vgOxygeh1wb5zeqlfDensPe3J7Mzo98YoAyQOWC2bWbfRSJvnLgbYyyXyy0+yPNsUNEJcN81Go3ZJ1ZHZdy4caOysvLll1/es2eP7cSsUCjKysqUSmVZWVlYWJiNDwMCAqKjoxFCBEEI7ekOUzULLSqXoWnaO/edJEm32PcACfH+kDYzMqP+vacw7aOD83rFzekRK6Fa9NiFpmmDwSD8fXcSg8FgMBj4jsLVoKIT4L43vUC0OvPXX3/9deXKlXfeeeeDDz7Iy8uz8TLmxMTEoqKiLl26FBcX9+rVy8aH3bt37969O0KovLy8rq7OATvkOARByGQyoUXlGmKxmCRJ79x35gbCXfY9RoGXjWx95HrV2znFy/4qeaVP7Pj0ULvv9kUikUaj8c7OXzKZTKVSCbCOdjao6Nxi3y1fca9bt27Dhg2xsbFyuXzXrl2rVq2ysYru3bvfuHHjgw8+iIiIiImJyc/P/+yzz8w+dE7wAHijzGjfrVPS3xuU8NHBksErTx+8Wsl3RAAAR7J8x8ypVzZJkvPmzTP+mZSUlJSUhBAy/RAA4FiDEwMHKP1Xn7779Ob81DDFvx+OT4WXhQPgERzQKxsAwAsRSUzrGP73M536xvuN+PHsnK0Ft6rNe5EAANyOA3plAwB4pBCT/+wRPS499MMDJT2XncjuHDGvRzRMKAuA+7KcmKdOnZqVlfWPf/wjNDTUxQEBAOwQ6StenKWc1SXy/dxrmV8em9Mt6pmukWKYLQcAN2T5vB04cOCePXt69erVtWvXN99889ChQy4OCwBgh6QQ2fLRST+NS95xqbzvtye3XCjzvpG6ALg9y3NlM0pLS9esWbNo0aKSkhLHDvgT5lzZMIUs34HwQLBzZbcQTaOtF8sW5lwNlosWDIjrEevXdBmYK1totZALQEUnzIqO1VzZzz77bLt27QYMGHDx4sUlS5bcvn3bJbEBABwDYzQyOfjQzA6TO4Q+uSl/7Jrz52G2bQDchOXEfPLkSZVK1bt37x49enTt2hWeNAPgjphu23mzOnaIUAz94cwL2wvv1Gj5DgoA0AzLifngwYOnT5+eNGlSYWFhr1694uPjXRwWAMBRAqTU/H5xB2d2RAh1//r4wn1XqzVe14QLgBux3Cv76NGj+/fv37dv34kTJzIyMgYPHuzisAAAjhXlK16cpXw6M2Lhvqs9vj7xYp+YZ3r78h0UAMACy52/MjMzBw8ePHjw4J49e1KU1Rdd2A06fwmKkPtEOJundv6yLaeo4q09VxBBdIvxY38m3lfpWrLRWq1e24IupFq9oaZlN/oVKj2N6qs7kiQNBoNA3i5VpzVo9K6LJEAuXvRIq/4J/i7bokAIuaIz6/xlq1e280BiFhQhH6/O5p2JGSFkoOldxXWX71bpdBzSra+EbMk7yyUkIRPZP7SawNhX3KKR2T4SkiIIhJCfn191dbXQ3i4lIrFC5NyZYTDGBVX0MxtOPdEp/OU+sV71BnohV3Rmidnxd8MAAOEjMB7XPkKtDvTW4VL+FRXe+PZDgiA6KQOTfNHTv146fO3cslGJET5ivoMC5mBiIAAA8C4x/pKtU9K6xPj2W34yp0iId5BeDhIzAAB4HYrA8/vFLclqPevX/IX7ruoNgnjcDhiQmAEAwEtlJQXtyW5/sLhyzOpzt+HVZIIBiRkAALxXrL9ky5S01DB5v+Wn9hXd5zscgBAkZgAA8HJiEr8zKOGDIQmzthQsyr1mEMYoMm8GiRkAAAAa3jZ429T0bfn3xq4+D1O38gsSMwAAAIQQah0k/f2J9smhskHfn/qzpIrvcLwXJGYAAAD1JCR+Z1DCG/3iJq+7AM3afOFn5q+6ujrXb9Q2jLFUKhVgYC5AkiRFUd450YRIJEIIabXe2HAnFov1er0XTrKBEJJKpRqNRmgzf7kA+4ou/27N42tOxwVIvx2bHijzhKmoBFvRabVaP79Gb0yHKTnrwZScwpypztm8dkpOhJCfn59arRZgPeUCQUFBFRUVQquFXIBTRafW06/uLNxbWPHNqMQu0W7/yhMhV3RmU3JCUzYAAAALJCT+KKv1q31jJ669sDTvOrRquwwkZgAAAFZNaBe6fVr6hrOl0zZebOEbxgBLkJgBAADYkhQi2z4tXSEm+n936sh16K3tdJCYAQAANEMhJr8amfhKn9jxa89Ds7azQWIGAADACtOsve5M6RObLlZAs7bTQGIGAADAVtsQ+Y7p6RKK6P/dqWM3qvkOxzNBYgYAAMCBj5hc9mjiy31ix689v+zITb7D8UCQmAEAAHA2oV3opkmp3/x9K3tTfqUamrUdCRIzAAAAe7SPUOx9sj1JoEdWnD57p5bvcDwHJGYAAAB28pWQ345KerZb1IifzkCztqN4wgyoAAAAeDStY3j7cMWMzfknbtZ8OEQpF8EtX4tA8QEAAGipjpE+e59sr9LqB35/6vxdaNZuEUjMAAAAHMBPQi0f3faJzuHDfjzz44nbfIfjxiAxAwAAcAyM0czMyI2TUpccuj5na0Gt1uterOkQkJgBAAA4UqdIn91PtLtXpx204tQFaNbmDhIzAAAABwuSi1aNS5neKXzET2c3ni3lOxw3A72yAQAAOB7TrN0uXDFz86W9hfc/HKKUQW9tdqCYAAAAOEuPWL/9MzqU1mqH/ni6qFzFdzjuARIzAAAAJwqSUWvGp4xOCRm04vQv56BZu3kOaMrW6/VLliypqamJi4vLzs5mPqytrf3kk09qa2spinrllVckEknLNwQAAMAdYYz+2SM6I9p31q+Xdl++vzhLKaXgttAqBxTN4cOHY2JiFixYcOvWrZKSEuOH7du3X7hwYVJSUm5ubsu3AgAAwK31ivPb/1SHu7XaYT+euXIfmrWtckBiLigoUCqVCCGlUllQUMB8GBMT07NnT4SQj4+PSCRq+VYAAAC4u2A5tXpc8uA2gQO/P73lQhnf4QiUA5qyq6urQ0JCEELBwcHV1fXvzU5KSkIIHTlyJC8vb/78+cyHa9as+eOPPxBCr7/+elhYWMs37UAYY4yxv78/34HwgCAIgiC8c99JkkQIUZQ3Dk8gSZIkSalUyncgPMAY+/r60jTNdyA8EEJF99/hAYNSIqetOZV3ve7jR1PEpCuatTHGJEnyvu9NqdVqs0/sr49279599uzZ7t27KxSKsrIypVJZVlZmmm43bNhQUlLyxhtvyGQy5pPk5GSxWIwQoiiqaSj8whgLMCrXoChKJBJ5576LxWKMsXfuu1Qq1el0Op03vkmXoiiNRmMweN28VBhjgZzsPWJ8Dj6TOWPT+b5fHP5hfFp8gNMvECmKEubJ3vQctD8xDxw4cODAgcxKi4qKunTpUlxc3KtXL+a/5uXlVVVVzZs3z/QrHTt27NixI0KovLxcpRLWAwaCIORyudCicg2xWEySpHfuO0EQGGPv3HexWKzVagVYT7mAXC5Xq9V6vZ7vQFxNUBWdH4VWj01afLCk95d/LxnaenjbIKduzo0qOtzyxhy9Xv/pp59qtdrw8PBp06bl5+fv3LmToqiLFy/K5XKEUFZWVu/evU2/Ul5eLrRTgiCIwMDAsjJvfOYhFotlMllFRQXfgfBALpdjjGtqavgOhAd+fn5qtdo7E3NQUFBFRYXQaiEXEGZF98eVitlbLj2aEvz2gHiR05q1hVzRMY+DjRyQmO0AiVlQhHy8OhskZkjMXkWwFd2NKs3Tm/O1enr56KRYf6cMrxVyRWeWmGEkGQAAAJ5F+Yp/fTxtYOuAQStO7Sm8z3c4PIPEDAAAgH8UgV/qE/vJ0DbPbi14bVeRVu91XfOMIDEDAAAQisGJgXuz2524VTNm9flb1Rq+w+EHJGYAAAACEu0n2fJ4WpcY337LT+YUCfGRsLNBYgYAACAsFIHn94tbktV61q/5C/dd1Ru8ayoYSMwAAACEKCspaE92+4PFlWNWn7vtTc3akJgBAAAIVKy/ZMuUtNQweb/lp/YVeUtvbUjMAAAAhEtM4ncGJXw4RDlrS8Gi3GsGL5jhHBIzAAAAoRvWNmj7tPRt+ffGrj5/p0bLdzjOBYkZAACAG1AGSn9/on1yqGzg96cOX6viOxwngsQMAADAPUhI/M6ghDf7xz++/oIHN2tDYgYAAOBOxqaF/D49/X8X741fe+GuJzZrQ2IGAADgZtoEy3Zmt4/3lwz8/tRfJZ7WrA2JGQAAgPuRkHhxlvK1h+ImrfO0Zm1IzAAAANzVhHahO6an/3bx3rSNF8vrdHyH4xiQmAEAALixxGDZzifahchFA74/9bdHNGtDYgYAAODepBTx8dDWr/SJnbDu/NK86+7eqg2JGQAAgCeY0C50+7T0dWdKp2+6eF/lxs3akJgBAAB4iLYh8h3T02UUMeC7U0dvuGuzNiRmAAAAnsNHTH79aOLLfWInrL2w7MhNvsOxB6b5aIyvq6tz/UZtwxhLpVIBBuYCJElSFKVWq/kOhAcikQghpNV64BwFzRKLxXq9Xq/X8x0ID6RSqUajMRgMfAfial5V0Z28WTVlzem0cMXXj6X5SynBVnRardbPz8/0E34Sc3l5udCqA4IgAgMDy8rK+A6EB2KxWCaTVVRU8B0ID+RyOca4pqaG70B44Ofnp1arBVhPuUBQUFBFRYXQaiEX8LaKrkqtf3775dO3a5aPbtspJkCwFV1ISIjpn9CUDQAAwDP5SshvRiU92y1qxE9nvvyzhO9w2KL4DgAAAABwomkdw9PDFE//eql1qH+/GAnf4TQPEjMAAAAP1znK58CsjLAAn6rKSr5jaR40ZQMAAPB8/lKKwJjvKFiBxAwAAAAICCRmAAAAQEAgMQMAAAACAokZAAAAEBBIzAAAAICAwMxf9WiaVqlUMpmM70B4YDAYtFqtROIGw/scTqfTIYQoyhvHDWo0GpIkSZLkOxAe1NXVSSQSgvDGO5O6ujqo6ITGbOYvfhKzAN25c2f06NEHDx7kOxAe/PHHHytXrly+fDnfgfBg2bJllZWV//d//8d3IDx4/vnnBwwYMHz4cL4D4UFWVtZnn33WunVrvgNxtdLS0pEjRx46dIjvQHiQm5v7/ffff/fdd3wH0jxvvGAEAAAABMsbW/Askslkjz76KN9R8CMyMvKhhx7iOwp+JCcnq1QqvqPgR/fu3ePi4viOgh9ZWVlm7/PxElKp1Jsrun79+vEdBSvQlA0AAAAICDRlAwAAAALi4U3ZBoPhyy+/vHHjBkKoZ8+ew4YNY/nFvXv3ikSiPn36ODM658rNzf36669/+OEHpuvpl19+WV5e/tprr7H5rlvv/meffXb79u2ioqKYmBiRSDRz5szY2Fj2X3eXff/Pf/4zadKk1q1b79y5Mzc3d+HChQih2bNnL168WC6XN13e7v0SfoGY/eIJCQmJiYn2BSz8nbUtPz//nXfeMR7wL7/8so+PD0Lo999/Dw4OzszMZD53991kNFu9V1VV1dXVhYWF2V6PAEvDwxPz0aNHCYL473//ixB65ZVXMjMzw8PD+Q7KdSQSyfnz59PS0miaLioqCggI4DsiV5g7dy5CaOHChc8++2xwcDDf4ThLampqfn5+69atz5w5c//+fa1Wq9FoRCKRxazs2cx+8V27djX7FYPB4KljpTIzM5kCMTIYDIMHD+YrHudptnovLCwsKCgYM2ZM0+8K/ADw8MTs6+t7+fLlwsJCpVL573//m6KorVu3RkZGZmZmrl69umPHjiUlJX/++adGoyEI4o033igrK1u6dKlcLtdoNAMHDiwvL1+yZIlYLJbJZP/6178++OCDGTNmBAcHz58//9VXXxV+DditW7fDhw+npaVdvny5TZs2paWlFRUVS5cuxRj7+Pg899xzu3fv9uDdRwiZ/dzx8fEfffSRVqsNCgqaO3fu5cuXN27cqNfrMzIyOnfu7F77npqaumPHjqysrLKysu7du1+8eFGv16ekpNTW1pruY2lpqel+7dq1y/QX12g0HlMgpnJzc/fv36/T6d54443t27ebHgPFxcWXL1+WSCR9+/b1jJ21YceOHczORkZGhoSEtGrVypN2s2n1brZHu3fvvnHjRmlpaUZGRtMDYMSIEYItDfKtt95y5fZcLCQkJCAgYNOmTevWrdPpdMnJyZcuXfL19Y2Kijpz5kxERERlZaVGo3nxxRevXr1KkuS2bdsGDx48YcKEP//8My4uTiKRpKWljR49Ojc3NykpSSKRXL16NTg4+MSJEwMGDOB755px9epViURy8eLFhx56aPv27Z07d7506dKdO3fS09OnTZt2+vRpvV6vVqs9dff/+OOPLl26XLt2zfTnPnDgQHp6+vTp00tKSkpLSy9cuNCuXbvJkyffvn17z5497rXvAQEB69atYy4uu3btevr06YqKivj4+OPHj5vuY05Ojul+6XQ601/80KFDHlMgzC8ul8sLCwvVavXzzz9fXFwskUjKy8tNj4GKior79+/PmjVrx44d7ruz1pSVla1du/bo0aM5OTl37tyRSqXMzl66dEkul+/cudMzdpPRtHq/c+eO6R6FhYUpFIqAgACLB8D3338v2NLw8Dvma9eupaSkdO3ata6u7uOPPz527JjxPxm7oycnJyOE/Pz8dDrdrVu3UlJSEELM/8pkss2bN+/Zs+fmzZs0TWdmZn7yySd6vb5Xr1587I09WrVqVVxcXFRUNGLECITQjRs3mIOsbdu2N27cUCgUnr37RszPffPmzaKiopMnTyKEWrVqNWTIkFWrVu3YseORRx5xu32nKEomkx0+fDg9Pb1t27br1q2Ty+V9+/Y9efKk6T6a7RdqfMB7UoGYatu2LULI39+fmdmNYTzlmT3ymJ01Y9qUvWPHDuPvjhDypN1Elqr32NhY0z0yW97sABByaQi3kd0hLl++/NtvvyGEZDJZcHCwWq0mCKK6uhohVFBQwCxj+qQhMjLywoULzBcRQlu3bh00aNDs2bOZ7gM+Pj56vf7AgQPdunVz/b7Yp3v37r/++mt4eDjGGCEUHh5+6dIlhNClS5ciIiKQp+++2c8dHR3drVu3uXPnpqenBwYGnjhxYsqUKW+99damTZvccd9TUlK2bNmSnp4uFosJgrhz505YWJjZPprtF2r8i3tYgRiZzjPa9JRnZmD1mJ21zXS6WQ/bzabVu9keIYRomrZ2AAi5NDy8KTsqKurgwYPbtm3btm2br6/v6NGjg4KCVq1a9fvvv6tUqs6dO1dWVlIUFR8ff+HCBX9//+7du69cufLvv/82GAyxsbFJSUkbN27My8sTi8X37t1LT0+vqqqqrKx0i1HqV69eVavV3bt3/+qrr8aNGxcYGPjXX39NnTp17dq1hw4dMhgMjz32WFFRkafuPtOwGRUVZfpzZ2Zmbtiw4cCBA5WVlQ8//HBlZeXKlSuPHTuWlpY2bNgwt9t3rVZ74sSJ8ePHI4Tu3LnDXN3Hx8eb7mNCQoLpful0OrNf3GMKxLQp27iPgYGBycnJpsdARUWFWCyOj4+/f/++++6sNWVlZZcvX+7atSvzZ0FBAbOzTFN2r169PGM3GU2rd6lUarpHKSkpGzZs6NOnz9atW5seAPHx8YItDZhghJtffvklLCzMXZp6HM6bd9+b990iryoQL9lZL9lNlngsDQ9vynasnJycM2fOdO/ene9A+OHNu+/N+26RVxWIl+ysl+wmS/yWBtwxAwAAAAICd8wAAACAgEBiBgAAAAQEEjMAAAAgIJCYARA0tVqNMY6MjIyIiIiOjp4xYwYzKLPlsrOzx44d65BVrVy58sUXX3TIqgAAkJgBcAM3b968detWQUGBRCJ54oknWr7C2tra3bt3b9iwoeWrAgA4FiRmANyGTCb76KOPcnNzr1+/jhB6/vnnExIS0tLS5s2bR9P0jBkzVq1ahRDS6/Xx8fF37941/e7bb7/dpk2bxMTEf//73wgh5v0WTz75pHGBzMxMZs7anj17PvvsswihlStXTps2DSH00UcfKZXK5OTkBQsWMAs3/cS4lQkTJuj1eqeWAwCezcPnygbAw0gkktTU1IsXL2q12osXL166dImm6fT09NmzZ0+YMOHzzz+fPHny7t27MzIyQkNDjd/avn37jh07Tp06RdN0//79u3Xr9umnn+bk5Hz33XfGZQYPHrxv377U1NS7d+/m5uYihP74448hQ4bk5OSsWbPm6NGjIpFo7NixP/30U3R0tNknzBoWL1587NixjRs3ms6ICQDgCu6YAXA/GONWrVp99dVXmzdvnj9//o0bN1Qq1YABA44dO1ZZWfnTTz+ZNXfn5ORMnz5dLpcrFIqpU6fu27ev6TqZxPz3338PGjQIY1xaWpqbmzto0KCcnJx79+6NHz9+9OjRV65cOXLkSNNPEEKbN29+++23hwwZYjo5MwDADnAKAeBONBrN+fPnk5KScnNzZ8+e/dxzz2VnZ//9998IIZIkhw8fvmrVqoMHD5reCjOYt5gw/7DY1NyzZ88TJ07s37+/d+/eJEmuWbMmICAgNDRULpczL3tACNXW1tI0/emnn5p9smHDhtjY2C1btjz88MPjxo0LCQlxZhkA4OHgjhkAt6HRaF566aVevXpFR0fv27dv6NChTz/9tEKhOHbsGJNrJ06c+PLLL48aNUokEpl+sV+/fj/88INKpaqtrf3xxx/79+/fdOUURWVkZCxbtqxPnz79+vVbtGjRkCFDEEIDBw5cv359RUWFSqUaPHjwnj17mn6CEMrIyEhJScnOzn711VddUhgAeCxIzAC4gdjY2JiYGKVSWVlZuWLFCoTQlClTmGfJr7766tSpU5l02Lt3b4Igpk+fbvb1oUOHDho0qEOHDp06dRo2bFhWVpbFrTCZODY2tm/fviUlJYMHD0YIZWZmzpw5MyMjIykpqWfPniNHjmz6iXENr7/++q5duw4fPuycYgDAa5iCLAAAIABJREFUK8Bc2QB4juPHj8+YMePo0aN8BwIAsB/cMQPgIdatWzdmzJilS5fyHQgAoEXgjhkAAAAQELhjBgAAAAQEEjMAAAAgIJCYAQAAAAGBxAwAAAAICCRmAAAAQEAgMQMAAAACAokZAAAAEBBIzAAAAICAQGIGAAAABAQSMwAAACAg/LyPua6uzmAwOHCFYrFYq9V6xvSiJElafF2u2yEIgiAInU7HdyCO4TG/C0IIY0xRlFar5TsQh/GkXwchRJIkQsjD9siTdkckEul0OgdmHIVCYfonP4lZpVI59keSy+VVVVWOTfZ8USgUdXV1fEfhABKJRCqVesa+IITkcrlKpfKMiz+KoiQSSWVlJd+BOIzHnDUMhUJB07SH7ZEn7Y5cLq+pqXFgFjNLzNCUDQAAAAgIJGYAAABAQBzWlF1QUJCQkMA8GkEI6fX6JUuW1NTUxMXFZWdnO2orAAAAgGdzwB2zwWA4ffr0e++9Z9qX5PDhwzExMQsWLLh161ZJSUnLtwIAAAB4AwckZrVanZ+fb7xXZhQUFCiVSoSQUqksKCho+VYAAAAAb+CApmyZTDZmzJgTJ06YflhdXR0SEoIQCg4Orq6uZj786quvtm/fjhBaunRpTExMyzdthDH29/d34Ap5RBCEWCzmOwoHwBhjjAMDA/kOxDEIgpBIJHxH4RgYY4IgPOanQR501jAIgkAIeczxhjzuB8IY+/n5OWptKpXK7BNnDZdSKBRlZWVKpbKsrCwsLIz5cNSoUQ899BDzX6uqqhy4OX9//5qaGpcNl1LpDGtP3V53+u7ZOzU1Gn2sv3RESvCsrtFRvg448mQymWeMKxCJRBKJxHhZ5u6kUqlarfaM4VIkSTr8HOSXx5w1DJlMRtN00/rafXnYD+TYjGMwGFw0jjkxMbGoqKhLly7FxcW9evViPoyIiIiIiEAIlZeXO3zeCZ1O55rEvLOg/NWdRRG+4mkdw7vFKn3E5OV7qp9O3un51dHFQ5SPpgS3cP0Gg8EzJuUgSZKmac/YF9Twu3hGYkYIedJPgzzorGEYDAb4gQROr9c7b8oUxyfm/Pz8nTt3zp49+//bu++Apq62AeDnZpBFIBA2YW8ZLlBwVEXFOuuqE7WOWvvVDkeHVqttX2t97euqtta2atU6wLoHigMX7gUoe++ZMLLIuN8feV9KEZVxk5tcnt9feknufZKTmyfn3HOf8+OPP27cuNHBwYHYUWsSqbX4twkFMcmVG0Z4jPP/OwHbcJl9RfybQTYLT2aWNTS+F+ZIYpAAAABMGkZKD0AsFhP7W0MoFIrFYr32mBVq7fzjGdUy9e6Jvi8bsk6vko378/m/ozw602/m8XhSqbTDTzceuspftbW1ZAdCDC6XK5fLqdFjZjAYfD5fLBaTHQhhKHPW6Ogqf8lkMrIDIQzFGkgoFEokEgKzmG5KVhMoMNImMpV2yuFUjRY/PqPbKy4k+9lw9070XXo+J09CnYtDAAAADAkS8+sp1Nro2DQBh7F/sh+H+Zp3LMLFYn5v+4/OZGsp0bUCAABgYJCYX0OjxReezGTSsd/G+zLpbXq7lg8QSRTqA08r9B0bAAAA6oHE/BqfXcitaFDtmehnRsfa+BQzOu2boW7/vlEkV1FhtSsAAACGBIn5VbYkFt3Mrz04xZ/7uhHsFgZ7CAJsuTvvl+opMAAAAFQFifmlTqRW77xfemhqgDWnIzeVfTnI5ae7JdJG6qwNDgAAwAAgMbfuSWnD8ric38b7elqxO7aHHo7mwfa8P5PgSjMAAIB2gMTcisJa5YzYtO+Guw9w61T97f/r6/TLvVKNFqZnAwAAaCtIzC3VKzUzY9Nm9bCbEmTbyV0N9RRwmPTzmTWEBAYAAKArgMT8DyqNdv6JDD8bzhcDXTu/NwxD7/SyP/AERrMBAAC0FSTmf/j0Qq60UbN9rA/W1nujXmNSN5vbhXXFdUpidgcAAIDqIDH/bcONwjuFdfsn+bHafMvya1lxGG/6WB9OriRqhwAAAKgNEvN/7XlUtv9JRcy0btZcJrF7nhFiezipEgp0AgAAaAtIzAghdPRZ1fc3io5MDXC1ZBG+8wFuljKV5nFpA+F7BgAAQD2QmNGptOoVF3P/nOwXaMfVx/7pNGycv/BkWrU+dg4AAIBiunpiPplavfR8zv7J/qHOfP0dZXw3m5Op1TCaDQAA4LU6Umyy89jsDpbTehkMw7hcbnsXsf/jYfHKCznHZvWIcBMQG08LQ3x5GJaVXK1qy4GYTCaPx9NrPIZBp9PpdDo1XgtCiMlkYkRN1icbjUaj0WiUaRpEobNGh8lkIoQo83lDlGsghBCHw2lvxnkZlUrVYgs5iVmhUGg0RBaRZrPZMplMq23Hak6bE4t/fVAaO61biA1TKpUSGEyrRvoIjj4tDrF5/cwyHo9ngHgMgMViYRhGjdeCEOJyuXK5nKhTkVwMBoPBYFCmaZBxnDUKtfZkavXTsgaxXO1pzYn0tOzt1MFxOB6Ph+O4TCYjNkISGUMDEYjNZsvlcmKzWHNdcSi7UYN/fDb7cFLFudlB3R0M9CNupK91XKbYMMcCABjYkeTK7jse7X1cbsFi9HA0r5A2Rsemj9yX8qyCOskVGAw5PWYSlTU0zjuWwWLQzs8OIvzOqFcIF/HFcnVapczfVi9TzAAApNBo8SXns2/m1+2Z4NvP1aJp+7phHr8+KB17IOWLN1wWhjqSGCEwOV2rx3wjvzZyd1JPR/OYqf6GzMoIISadNsxLEAd1swGgEC2Of3Q2O61SfmVeSPOsjBAyo2Mf9HU6Nyto573SVZfyKHENBBhIV0nMKo123bXC+cczvo/yWDfcnUkn4YW/6WN9IUti+OMCAPRk482iZxXSmGkBAnbro4/+ttzzs4MScmvXXMkzbGjAhHWJxJxWKXtzX0piQe3luSHj/IVkhTHE0zKprKFG1nICHgDAFF3Jkex+VP7HJP+XZWUde3Ozo9MDzmXUbLtdbLDYgEmjeGJWa/EtiUWj9qeM8xeemhnooofCXm1nwWL0duIn5NWSGAMAgBC1CvVHZ7M3j/R0E7z+W8XB3OzI1G477pWez4CLWeD1qDz563ml7KMzWTQMOzsrKMA4plxFelpeyZFM7GZDdiAAgE755mpBhAt/lK91Gx/vZc3+ZZz3ghOZ54UcHyFHr7EBU0fNHnOjRrvhRuGY/SnjA2zOzzaWrIwQGupldTVHAtNAADBp94vqT6dXrxvu0a5nDfYQLA53mn88Q65qR8UF0AVRMDEnlUmH70m+kVcb/07I4nAnOs2IqucE2fEQQikV1LnRHoAuaO3V/CX9RHa8dt/Z8VG4k7OF2Yr4XH1EBSiDUolZrcU33iyacPD5zB52p6IDvawJLvzZeRiGBnsIrubA3GwATNW5jJqy+sb5vR068Fwahm0f43MpW3IKVrUBL0edxJwjVozen3IlR3LxneCFoY40Yy0zO9DN4kZ+HdlRAAA6Qovj668XfvGGixm9g98wQi5j+xiv5XE5xXVKYmMDlEGRxHw0qXTY7qfDvKxOG2VHubk3PAR3CuuUGrjODIDpOZchVmm0nZy/OdhDMC3Y9sMz2VqYbwJaQ5HE7GTBOjQl4NMBIoYxXVFulRPfTGTJul8EnWYATAyOo023ij6OEHV+5sqqwW5VMtXOe6WEBEZJtQp1crn0aZk0R6xQabrWdDmK3C7Vz91aLMbatboUid5wt7yeVzvAzZLsQAAA7XA1VyJRqCcHElCkyIyO7XzLZ8z+lEEegkA7Y7ltxBiU1jfufVx2Oq0mR6xw5JvRMVSr0CjU2v6uFhMDbcYH2HT4IkLnqbX4lsTiub0chHquU0WRxGxaBrpZ7LgLv5QBMDE775UsDHMkqqBvN1vupwNcFp3KjH8nmM2gyOBlZ0gbNd9fL9z/tGK0r/W64R4RLvymt6W4TnkpW/Lbg7K1V/KX9RfN7mFn+LLK1TL1/OPpSg0e3cNO38eCTwMJ+rlYJJVJGxr1tZYnAIBw6VWyByUNM0JsCdzne2EOjnyzry7nE7jPl2nU4IW1yuI6ZaNRTnC5V1Q/8LenOWLFtfndd4z1HuJh2fzHirMFa05P+4vvBO96y+dIcuXQPckPS+oNGd6zCtnwvUme1uyTMwMdzM30fTgCeswajWbz5s1SqdTV1XXu3Lm6jVVVVcuWLbOzs0MILVmyxMnJqfMHogxrLtPbmn2vqD7SU0B2LACANtl1v2x6sJ0Fi8hRRhqGbR/jPfj3p4PcLUf7tbWIWLuklMuOJFck5NWmV8m4TDoNQ3KV1kfIGelrNS3YzsPKKKbK7n5Ytu5a4bphbtNCXtMZHeBmGTcnaM+j8qlH0hb0dlhukHlFZ9NrPj6XveINl47dI9cBBHzI7ty5IxKJpk2btn79+qKiIpFIhBCqrKwcNWrU1KlTO79/SurnapFYUAeJGQCTUKdUH3tedWVeCOF7tuMxd4zxfu9UZqA9111AZJpMLKj7/nphWpVscqDNt0PdejmZ635VSBTqRyUNJ1KrIncnjfazXjXY1QBdwJfBcfSvawVHUypPRQe28Vo7DcPm93YY6iVYdDLrZn7tr+N9Hfn6ih/H0ZbbxTvvleyZ6DvQgLOCCBjKzsrK8vT0RAh5enpmZWXpNpaXl5eUlOzYsePatWudPwT19HezTCyEidkAmIaYlKowZ3M99S+HeAreDXWceyxdRlCpzpL6xnnH0ucfzxjtZ520uPd3wz0Gewia+voCNiPSU7BttPfdRT05TNrAX58eSqok5LjthePoi/jcuMyac7OD2jsDzl3APh3drbuD+dA9SYkFevkuVai1i05lxqZUxs0JNmRWRoT0mBsaGmxsbBBCQqGwoaFBt5HL5YaEhERERGzcuNHa2jo4OBghtGXLllOnTiGEdu/e7ebm1vlDN8EwzMrKisAd6tuoEP57JzPZfAHPjP7iX9lsoxhf6jwMw4T6nr9oQBwOddYeoFjTID2fNfufpvxrpJ/+3rHvxlk/3/Ng6cWCmFm9MQxhGIbjeAc+bziOfr2bv+JsWnRv0R/RYQLOq4qGCoVo9wyH+bk10QcfP6pQ/jRJv3PQXmygD4+n3C2WXl88wM68g+v+7ZxmO+RJyeyjyWtH+Hw80LPTMf6tqFYx8cADW57ZvSVvWLJbvo0YhgkEhI13yuXylvvHO32H+969ewMDA8PCwo4cOWJnZzdkyJDmf7169Wp1dfXkyZMRQhKJRCqVIoTYbDaNRuQnQCAQ1NXVmcrtUjr9fnn0XZTnYI+WrcvhcF5sJ1NkZmZmZmbW9FvN1LHZbKVS2fnzxRgwGAwej1dbS50VSPV61iQW1C48nv7kwzC9Xs5saNSM2PN0uLf12qHuXC4Xx/H2vqIKqerD0xk5NfId43z7iCza/sQamerdE+nSRu2fUwKE3HYXAG+LFxvoX1fzT6ZWnpsTYsvr7ED08wrprNi0PiL+5tHehPy2uFNY987R1CnBdmsi3Vu9Z53YjKPValv85iOgx+zj45ObmxsWFpafn9+/f3/dxtjYWH9//+Dg4Pz8fB8fH91GgUCg+5UhFos1GoLnJGs0GhNLzK4WN/PEA135LbbjOE74m0MKXXNQ47Wg/7ULNRKzrkNGmaZBej5r9j0qmx5ih+Favb5hHDo6NMV/7IFnFizaymG+7X1F5zNqlpzPHudv8/t4Xw6T1q7nWrJof072+/RC7qg/ko5O7+akh0u2LV7OrgelR5IrzkQHWrPpnW84PyH7wpygRacyh+9+smeiX2euOOA42nm/9D+3ijZEeUwKtEEvb3StVqu/jxwBPy7Cw8NLSko2btzo4OAgEokyMjK2b98+cODA2NjY1atX19bW9uvXr/NHoZ6+Iv6dQoPO+AcAtFetQn0mvXpmd73fuooQcrZgxU7r9tuDsnVXctr+rDql+qOzWcvicraN9v73CA8OsyPf6kw6bfNIrxE+VmP3pxTW6reI96m06v/cKj48xV9k2cER7BdZcRiHpviP9hNG7U3+61lVx3ZSJVPNiE3d/6T8dHTgpMBOVV3tJAKGsjuA8B6zUCgUi8Wm1WMuqW/su/Nx9tIws3/eKc/j8XQD/qaOxWKx2WzKjJdyuVy5XE6NHjODweDz+WKxmOxACKO/s2bPo7JzGeLYaQH62HmrCmqVU46khbtarh/q+toseza9ZkV8bqiT+cY3vYRcAkZA118vOJpSdXJmIIFZEzVroLtF9TNi0g687Rfh0o7B9ra7VVD3wemsUGfzDVGe7XpD/npW9eWl3NG+wn8Nc3/t2y4UCiUSCYFZTDdPqwkUGCGNE9/Mjsd8WkaFHAwAVf35tMIw3eUmrpashPfCqqWqYXuTruW+dInYe0X14/989uWlvA1RHrsn+hGSlRFCK95wndjNZsLB52UNjYTssLmsavnso2k/vOmhp6yMEOrvanF9QQiPSY/Y9XjXg9K2VFN5Utow/s9n310r+Hmsz39GenZsyIFYUJKTTBGuFrcL6sKcW15mBgAYg9RKWb5EOdJXL6U/XkHIZR6N7v7rnbz3T2d5WbOnBduFOfPtzJlaHBVIFLcK6k6kVhfXKReFOS4McyR8KvWXg12VGu2kQ89Pzgy0IW4uWJVMNS0m9YO+ThM6tzbXa1mwGFtHe0UX2625kr/9Tsn83g5TgmxfvNe5UYPHZ4n/eFz2uFT6QV/H9/s6s8irwt0CJGYy9RXx4zKpM5wIAMUcTq4c301Iyvc1hqHo7nYTAoQn06pPplZ/k1BQI1NhGBJZsEKd+R/0dRrla62/5Ry+jnSXqXImH3p+fEagFYeIu2qV6hkxaZGeVh9FOHd+b20R5sw/Nyvoel7t3kdlP9ws8rBihzjw7M3NEELSRk1mtfx+cb2HgD2ju93vE/z4rFZuWyURXGMmU2a1fNS+lPRPQmnY3ycYXGM2TnCN2Zjp46xRa/GQ7Q/3T/br7WToMS0ej4fjuEwmM/Bxm9Pi+EdnszOq5EenB3SyEKlKo519LNOMhnZP8O38ipkdIFNp7xbWpVbKiuqUHCadw6B5WrP7ivjOFh28jq7va8zQYyaTtzWHhqGMKrm/Laz7BoBxuZIjseIwDJ+VjQQNw7aO8vq/01lTj6Qdmerf4dys0eLvncxUqPG9U/xIycoIIS6TNsRTMMR0SiCTf5W7K8Mw1Edkca8YbpoCwOjEpFROCSJyLSmTQ6dhO8Z6u1qyJh1KrZGpOrAHjRb/8Gx2cX3j0ejuxnMF1/hBYiZZH5H5vSJIzAAYl1qF+mKW+O2unZgRQgwa9tNY7wBbzlsHnxe18/7mRo323RMZOTWKmKkBFmwYnW0HSMwk6yuyuAtlRgAwMifTqsOc+fqogWVy6DRs6yjvN32s39yX8qDNw3s1cvXkQ6lihebo9ABLyMrtBImZZD0czUvrleV6uGUQANBhMcldfRy7OQxDXw5yWTXIZeqRtJ33S7WvmwJ5t6h+2J4kDyv2kan+5q2t0wNeDRIzyczoWHdH8/vFFFnpAQAKyJcoUypkY/wMffuykZsWYnd6VuDhpIqR+1Juv2TV2mqZ+vOLuTNj0z4d4LJ1tFeLsoagjWCEgXx9RRZ3C+vgWwAAIxGbUjnK17rVJVm7uG623EtzQ357WDb/eIaLJWucv7CHo7mzhVm9UpNWKbuSIzmXUTPWX3htfkiH70QCCBKzMQhzNt96u4TsKAAACCGE4ygmpXJDlAfZgRgpBg1bFOb4Tk/78xk1F7LER5IrS+sb+Sy6pzWnv6vFl4NciS2y3TVBYiZfH5FFcnmGQq3V6yrlAIC2eFBcL1dp33C3JDsQo8Zm0CZ0s9F3cc0uCzIB+YRchsiC9aSUCtW+ADB1Mc8qJwfZkFUKAwAEidlI9BHx7xW1PpkCAGAwjRrtqbQamI8NyAWJ2SiEifgwMRsA0sVlikUWZgFQIheQipxrzGw2m9gdYhjG5XJNd4GBwT72668Xcrk8DENMJpPH45EdEQHodDqdTqfGa0EIMZlMDKPI8CaNRqPRaJRpGoQIO2v+Ss2M7uVM+jvDZDIRQpT5vCHiGsh4cDgcojKOStWy3Ck5iVmhUBC7uhSbzZbJZCa3ulQTFy7SaPHkomovazaVVpfCMIwarwVRbnUpBoNBmaZBBK0uVSlVXcmq2RjlTvo7YwyrSxGLMl9rOmw2Wy6XE5vFmoOhbKOAYaiXo/l9WM0CAPLEpFRGegrseEyyAwFdHSRmYxEG878AIFVMcuW0YJj2BcjXemKurKw0cBwgzBnmfwFAmselDRVS1TAvk1myF1BY64k5NDR04sSJp06devGiNNCTUGd+do1CLFeTHQgAXdGfTyumBNsyobYzMAKtfwpzcnLee++92NhYPz+/pUuXPn361MBhdUFcJs3fhvOoFDrNABiaQq09kVo9IwTGsYFRaD0x0+n0ESNG7Nix47PPPvv9998HDx7cu3fvW7duGTi4rgbKjABAihOp1X42HD8buH0ZGIXWE/PBgwfHjx8fFBSUlJR0+vTp6urq3377bfbs2QYOrqvpI+LfK4IeMwCGtu9x+awe9mRHAcB/tX4f85UrVz744IPIyEg6/b8Ln/Xs2XP9+vUGDKwrCnPmLzmXrdKY6t3YAJii55WyjGr5W/5CsgMB4L9aJua3335b949du3bt2rWraXtsbOyUKVMMF1eX5GLJErAZyWUNfgJYCBYAA9nzqGx6sC2HCdO+gLFomZgXLVpEShxAJ0zEv1NQ6yewJjsQALoEaaPm2LPqC3OCyA4EgL+1TMxDhw5VqVTbtm1btmwZKQF1cX1FFrcLJHNCIDEDYAiHkyt7OPK8hRyyAwHgb62M3jCZzMTExLy8PIMHA1CYs/mdfAnZUQDQJWhxfNf90oWhjmQHAsA/tD75i8/n9+7dOywsjM/n67bExsYaMKquK8ieV6vUFNYqXSxZZMcCAMVdzBIjhIZ7Q7UvYFxaT8xz586dO3eugUMBCCEGDevjYnm7sM7FEmodAKBfv9wvezfUgUah1RUBNbQ+EXHgwIEODg4CgUAgEPD5/O+++87AYXVlEa6W94pgmSkA9OtRScPzStn0EDuyAwGgpdZ7zEuWLImLiysuLu7bt++jR4+gtIgh9XMTLEsuIzsKAChuc2Lxe6GOPDO4NREYndYTc3x8/LNnz7788sv58+dzudwVK1a8YhcajWbz5s1SqdTV1bVpALzVjaAt+rhY5tQoamQqay6sCwuAXjyvlCUW1G0f40V2IAC0ovWhbJlMhhAKDQ29fv26SCR69uzZK3Zx584dkUi0Zs2asrKyoqKiV2wEbcEzowface8Vw2g2APry/fXCBaH2luzWeyYAkKv1z+WECRPGjx//888/jxw5MiMjA3vl5IisrKyAgACEkKenZ1ZWlkgketlGhULR2NiIEMJx/NX77AAMwwjfJykwDItwtbhdWD/Slwo1AqnRKIhCHzD0v0ahzMtB7WydB8X1d4vqd4z1Ntp3oIs3kEnQ6ytqPTFv3rw5Ly/PxcXlp59+unbt2l9//fWKXTQ0NNjY2CCEhEJhQ0PDKzZu2bLl6NGjCKGYmBhPT08CXwZCyMrKitgdkiiqm/O6S5lCIRUSMzVehQ6HQ6kyFFRqGoQQm81u4yPXH0n/PNLbw8nYV62g2Oet7Q1kEgQCwu6y0w1RN/fSkZybN29u2bJl3bp1EonE3d39FTvl8XjV1dWenp7V1dV2dnav2PjFF1988cUXCCGxWFxVVdWZV9KCUCgUi8VaLRWWf+DxeN0s0ZOSutzicj7LhGemsFgsNptdW1tLdiDE4HK5crkcx3GyAyEAg8Hg8/lisZjsQAjD4/GkUmlbHnkqrTq3qmFGgDexX0HE4vF4OI6/+H1tutreQCZBKBRKJBKNRkPUDrncfyw52vo15q+++urAgQNxcXEYhm3cuPHVk798fHxyc3MRQvn5+T4+Pq/YCNrIisPwsWbfh8vMABBKodauvZL/7TB3NgOWrADGq/VPZ0xMzNGjR11cXLhcbnx8/MGDB1+xi/Dw8JKSko0bNzo4OIhEooyMjO3bt7fYqJ/gqayfq0ViQR3ZUQBAKesSCnyEnFG+UIseGLXWh7KVSqVKpWr6N4v1qvKQdDr9k08+afqvr6+vr68vQqj5RtBe/dwsf75bQnYUAFDHvaL6w8mVV+eFkB0IAK/Reo958eLFI0aMyM3NXbNmTb9+/T788EMDhwX6uVg8LWuQqahw1RwA0tXIVItOZX47zF0EVeiB0Wu9x7xs2bKePXsmJCRwOJx9+/b17t3bwGEBIZfhbc25W1Q/xMOS7FgAMG1aHP+/01kRLhbTgqEEPTABrSfmysrKyMjIyMhIA0cDmhvobnk9TwKJGYDOwHH0aVxutVz9x2R/smMBoE1aH8oODQ2dOHHiqVOnmq40A8Mb6GZ5I48i9xoBQAotjq+Mz71TVHd4SgCLTqkCF4DCWk/MOTk57733XmxsrJ+f39KlS58+fWrgsABCqJ+rRWqlXKJQkx0IACZJptLOP555u7Du2PRuQi5U3wQmo/XETKfTR4wYsWPHjs8+++z3338fPHhw7969b926ZeDgujg+ix7iwLuVDzdNAdBuV3MkA399giP87Kwge3MzssMBoB1a/xV58ODBmJiYR48ejRkz5vTp0wMGDHj69OnkyZOzs7MNHF8XN8DVIiFPMtoPbrsEoE0aGjUXMsV7HpXlihVrI93eDoLZXsD0tJ6Yr1y58sEHH0RGRtLp/y0J2bNnz/Xr1xswMIAQQpFegg/PZBnscDiO7hfXp1XJNFq8mx0vzNmcRq2688CkFdUqc8SK0vrGOqVGrvq7GqJCrVXitIIaaWa1PLNa0d2B93aQzYzu9nBRGZio1hPzb7/99uLGKVOm6DkY0FKok3mNXJ0jVnha6b3++/mMmnXXCqUqTQ8HHg3Dtt0pMTejrx7sGuVNndVBgMnR4vilbMnhzCNqAAAgAElEQVTJ1OqEXElDo8bTmu3EZwnYjOY1NTlMmoDHDHexmBFi18PR3IoDl5OBaYNPsFFj0mkD3SyvZIs9Qx31dxS1Fv/yUt7ptOrvhnuM9bOm0zCEkEaLH0+t/uhs1qweDiveEEHXGRiYFsdjkis3JRbTMPR2kO37fboF2HJ0H84XUWyNBNDFQWI2doM9LC9lSxboLTGrtfiiU5nFdY3X5ne35TGbttNp2ORAm74i/szYtAalen2Uh54CAOBFmdXyD89k1zeqv450G+FjBb8LQZcCS6wYu6FeVrcK6pQafa02uORcdkldY8zUgOZZuYmLJevo9G6XcySbE4v1FAAALRxOqhjxR3KUt1XCvJCRvtaQlUFXA4nZ2LlaslwsWXqqNLLjbsndovo/3/Z/xcLPdjzmkakBP90tuZEP1U6AfuE4+jah4F/XCmOmBizt78ykwxcU6Irgc28C3vSxvpBVQ/hubxfWbU4sPjDZ/7WTZTys2D+86fn+qawaOVQ7AfqixfFPL+RczBJfmBMU6swnOxwASAOJ2QSM8BZcyBTjhA5mSxTq/zudtW6Yu68Npy2PfytAOMjdcvWlPCKDAKCZzy/mPiiuPzEj0NkCFoACXRokZhPQy8lco8WfljUQuM+V8Xl9nPlT27PYzrfD3C9li6/lSggMAwCd768X3sir/Wt6INTOBICcc4DNJviuXAzDuFwuTmynkiRMJpPH47XYODrA9lJeQ39ve0IOEZdRdT2v9tHH/XjtueOTx0PrR/p+eTn//odOjJfctdIcnU6n0+kvvhYTxWQyMarMQqLRaDQazXia5sCjkj+TKq8uDHW1atP4zYtaPWtMF5PJRAhR5vOGKNdACCEOh0NUxnlxsShyErNCodBoNK9/XJux2WyZTKbVagncJ1lavSNztLflZxdyl0c4dH7/DY2axceffx/lYaZVSqXKdj13vK/Fz7exn27mzO/9+khYLBaGYZS5u5TL5crlcmr8+GMwGAwGw0ia5n5x/fKzGTHT/G3MtB0OiWL3MfN4PBzHZTIZ2YEQhmINxGaz5XI5sVmsORg1Mg0D3CzrlJqnZdLuDp391bn+WmF3R/MxHaq/TcOwb4a6zT2W/naQjQXLWD48hbXKq7mSZxUyJg3zsmZHelq5CeAipWmolKrmH89YH+Xe2wlmewHwX3CN2TTQadi4AOGJ1KpO7iepTHo4ufK7Ye4d3kOEi0WoM3/nvdJORkKI0vrG909lDvzt6cUssS2XyWXSruTUDv796bxj6bliBdnRgdfQaPH3Tma+6WM9BZaaAKAZSMwmY3yA8GRqtbYTQ6m621GW9ncWWXaqQ7niDdddD8pqZC2vixjYhUzx4N+fWrIZ9xf1PDDZf/kA0cpBrvsn+z18v6e7FWf43uRDSZXkRghebcvt4lql+l+d+JkIACVBYjYZfUV8DKHrnag0cuBphUylXRja2QvVgXbcwR6WO0jtNB9Kqlx8JuuncT7fR3m0qFlmzWV+NcT10Nv+318vWJdQQImLwhR0v6j+p7ulv4zzMYM1oAD4J0jMJoOGYdE97A88rejY02vk6nUJBRuiPAipprS8v2jPI9I6zUeSK7++mhc7LWCop+BljwkT8c/OCjqbUbMK7r02PtJGzf+dzvpmqJu3sIPTsAGgMEjMpmR6iO3FLHG1rCPlt9ZeyRvmZdXP1YKQSPxtuYPcLX95QEKn+UZ+7cr4vD/f9u/haP7qR4osWcdndLuYJf7PrSLDxAbaaPXlPH9b7szudmQHAoAxgsRsShzMzQa5Cw4mlbf3iXcK6+MyxV8PdSMwmKX9Rb8/LK9VGLRIZ3Gd8t0TGVtHe7ZxEq+9uVns9IDfH5Ydf97ZeXOAKJdzJOczxJtHeZIdCABGChKziVkY5rDrflljexabUmrwpeezVw92teG2sn5UhwXb8/o48/c8bvevhA5TabTvnsycHmI3xk/Y9me5C9i7J/gtj8tNKqPObZSmq1ahXnIue+ObnsR+GgGgEkjMJmagm6WThVlMSjvmG/9wo9COx4zuTkzVsOY+7uf8y71ShdpAdV02JRYjhFa+4dLeJ4a78L8c5DL/eEadEhbhINmqy/kRLhYdu40egC4CErPp+TDcafudYrW2TZ3mx6UNux+Vbx7lpY/qfn1FfG8h+8+OzkdrlyelDbvul20f492xyWvzejt0d+QtOZdDeGCg7eKzxZezxeujPMgOBACjBonZ9IzytTY3o+9twxiytFGz6GTm6sGuHlYEFydv8lGE8467JW38ldBhKo32o7PZKwa5eHbihWwe6fWktAFubiZLrUK97HzOv0d4WrenQjsAXRAkZtNDw7D1UR7/vlH42tWRl8fl+Npw3+lF/CB2k2GeVnwzur6nVu24V2puRp/XuRfCZ9F/Guez+nJeQW37KoQDQqy+nNdXxIdBbABeCxKzSQpz5g/3svo0LucV1TO23S5+XNrw4xgvvUaCYejDCOcf75Tor45Hrlix7XbxppGetE4Px/cV8ef2cvjgdGZnCqiBDricI4nPknwfBTOxAXg9SMym6vsoj2cV0p/vlbT6131PynfcLTkw2V/A1vuw4fgAobRRE58t1tP+V1zMndfLwd+WS8jePh3gXKfQ/HK/jJC9gbaoU6qXnsveMMID1loGoC0gMZsqPou+d6Lf1jslu/5Z5UOtxf9zq2j9tcK/pgcapqwSg4Z9GO68JbFYHzs/m16TXi1f2l9E1A7N6LQdY31+uFmUVS0nap/g1VZdygt15o/zb8dNbgB0ZZCYTZi/LffkjG6/3CudEZN2OUfytEx6OLly5L6UC5ni09GBQfbEdDHbYnp3u4JaZWJBHbG7lau0qy/nfTvUncsk8oMaZM99v4/jR+eyNXqeswYQQvHZ4vgsyb9HwCA2AG1FwMiSRqPZvHmzVCp1dXWdO3eubmNVVdWyZcvs7OwQQkuWLHFycur8gcCL/G25V+aF/PG4/Osr+TKVxtWSPaen/bRgWwbNoAsDsOjY+30cNycWE1XyU2fr7WIva44+pgt9HOF0PrPm53uli8Phk6lHNTLVknM5P7zpCYPYALQdAWfLnTt3RCLRtGnT1q9fX1RUJBKJEEKVlZWjRo2aOnVq5/cPXs2SzfgowvmjCGdyw3inp/2Pd4rvF9WHiYhZ8T5fotz1oPTCnGBC9tYCk07bPsZ79P6U4d4CPxvDDS10NcvjcgZ7WI6GmdgAtAcBiTkrKysgIAAh5OnpmZWVpUvM5eXlJSUlO3bsCAoKGjRokO6REolEKpUihNhsNp1O7/yhm6PT6Zg+imgYHIZhhL85BmDBoX8QLvpPYnHs9EDdFhqNhhDq8GtZdTnvnV4O/navWamiw4Ic+J/0E314JvvC3O5tGWDQtQtOiencupNF3x+zP5+UJ5XLrr/b0wCfZxM9a16GRqPhOE6lV0SxBkL/+34jhFbbsngiAYm5oaHBxsYGISQUChsaGnQbuVxuSEhIRETExo0bra2tg4ODEUJ79+49deoUQmj37t1ubkQuqIBhmIUFkYOo5GKxWGSH0BHLhprv+O5KqgSPcLfSbcEwTCB46cqMr3A2tTy5XHZkTh8+S49DoKtHWsbnJG6/X7F2hF9bHs9m66tOi+F1uGnaKL2iYfXlvDPzw1zsDdRdNtGzplUYhuE4TqVXhCjXQARmHLm85URUrMM9gEuXLj179iw8PDw1NTUwMDAsLOzIkSN2dnZDhgxp/rCrV69WV1dPnjy5+UaxWKzRaDp23FYJhUKxWPzi7w5TxOPxdOMKpujHO8WXsyUnZgYihFgsFpvNrq2tbe9OFGrtgF+frBzkOrGbjR5i/IccsWL4nuTYaQG9nF7TNedyuXK5nBo9ZgaDwefzxWJ93eGm1OAj9iaN9RcuI246/auZ9FnzIh6Ph+O4TCYjOxDCUKyBhEKhRCIhMIvpOrdNOt4ZHzZs2Mcff9y3b18fH5/c3FyEUH5+vo+Pj+6vsbGxycnJuo2Ojo6dCBiYkndDHbNrFFdz252Mm9t0q8jdimOArIwQ8rRifzXEddGpzIZGIn8pdnErL+ba8MyW9CN53gMAJoqAUfLw8PCSkpKNGzc6ODiIRKKMjIzt27cPHDgwNjZ29erVtbW1/fr16/xRgElgM2jLB4i+uZrX4TuR0qtkvz0s22DAdQ7m9LTvZsf97EKuwY5IbYeSKi/nSH4Z59P5Sm0AdE0dH8ruDBjKfgVTH/PRaPHI3UnzejssDHdt71C2RouPOfBsuJfV0v4G7WyJ5erIPUlL+znP6vHSctwwlN0WD4rrpx5Ja8ulAWKZ+lnTAgxlGznjHcoGoFV0GvZdlMf66wUSRbsXP/7lfqlSrf0w3NDXPqw4jN0TfNdeKXhS2mDgQ1NJYa1yzl/p66PcDZyVAaAYSMyAeP1dLQZ7CL6Iy2rXs55Xyn64VbRtdAdXXO6kno7mXw91m/1XellDo+GPTgE1MtW0mNSZ3e2mBNmSHQsApg0SM9CL74Z7XMqqOZ/W1sWP5SrtwhOZnw5wMWQl0Raiu9uNDxDOjE2DiWDt1dComRGbHurEX/GGK9mxAGDyIDEDvbDmMDaN9nnvr5TS+td3QHEcfXQ2y9WStSiM5An8ayPd3CxZ0bFpCjUV5isYRkOjZtqRVEc+8z8jPWG+FwCdB4kZ6Mu4ANup3R3nHc9o1LxmwtS/bxamVsp/ecuH9K91GobtfMuHzaDNOpouU0Fufj2xXP324VRbHnPXWz4GrtAOAFVBYgZ6tH6Un7kZfd7x9EbNS5PcltvFB59WHJziz2cZRcU+Mzrtj8n+XCZt0qHnlVIV2eEYtcJa5dgDz7yt2b+O9yVlZgAAlATnEtAjBg3bN8lP1qidGZteJWuZ5BRq7fK4nD8el5+MDnS1NKJyfSw69vsE3xAH3rA9SfeL68kOx0jdLqyL2ps8xs9622hv6CsDQCBIzEC/OEzawSn+LpZmg357+uuDshq5GiEkUagPJ1UM2Z2UL1FenBPsLjC6GtQMGrYhymPFINfpMWlfXc6rU7b71i8K02jxzYnFs46mr4/y+OINF9IvQABAMbBIKtA7NoO2aaTXVT/Jz/dKVl/OY2JIjaMejuYr3nAZ42dtzPWhpgXb9ne1WBmfF7bzyeII12lB1rZdfl3h7BrFR2ez5Cpt3OwgbyGH7HAAoKCu/i0DDGaIp2CIp6BRo61oUNmam7HoxpuPm3OxZO2f7He/uP7XhxUbEnJCnflvuAu6O/I8rNgO5mZcZhcac5KrtNvuFO+8V/p+H8cl/ZzhojIAegKJGRiUGZ0mMqbLyW0U5swf5GNfXF13OUeSWFB7PrMmX6IQy9UMGmZuRkcI0WgY34yGELJkM6w4TEdzppeQE2zPC3M2t9DnypWGocXx2JSq9dcLvazZF+YE+9pARxkAPTL5rwwADMaay5wcaDM58L9VbRs1uEShlqu0CCGVRitVaRFCtQp1jVxdUqfMrlGcTK3KqJL3EVlMDrQZHyDkmRnFtPN20eL4mfSajTeLMIQ2RHmM8LEiOyIAqA8SMwAdZEbH7HjMVz+mRq6+mCU+lFSx9kr+vN72/9fHyZJtGiedFsdPplZvTixWafFl/UUTuwmNeTYAAFRiGt8RAJgoaw5jWrDttGDb5HLpf24V9dn5eOUg19k97I05x2m0+PHU6s2JRRjCPunnPCFASIe7oQAwIEjMABhCsD1v70S/24V1n13I/etZ1Y6x3i7Gd60dx9Hp9OoNNwppGPbZAJex/kY9Zx4AqoLEDIDhRLhYXJ4bvPFm8dA9ST+86TnOX0h2RH+7VVC35nJevVLz+Rsu4wNg4BoA0mCkLPwul8uJ3SGHw1EoFNRYxJ7JZKpUVKgESafTGQyGUqkkOxBiENsuCTk178SkzOzp+M1wb8MPFNNoNDMzM4VCoftvvlj+xfnMxHzJqqGec0OdTbGMF2XOGh0mk4kQotgrotLLYbPZSqWSqIyjUqksLCyabyEnMYvFYo2GyJX1hEKhWCzWaqmw6gCPx5NKpWRHQQAWi8Vms2tra8kOhBhcLlculxN4vhTXKd85lmHHY+56y8fAE7YZDAafzxeLxWot/vO9ks2JxTNC7D4bKDLdO7soc9bo8Hg8HMdlMhnZgRCGYg0kFAolEgmBWczGxqb5f6FEAADkcLZgnZoZaEbHxhxIKWt4/eKYhHtWIRvxR/KZ9JrT0UH/GuZuulkZAIqBxAwAaThM2u8TfPu7Wo7al5JRRfD1nVfQaPENV7PHHkiZ2M3m3KygQDuuwQ4NAHgt+I0MAJloGPavYe5OfLOxB1IOTvHv7cTX9xGLapWLz2ZLVfj52UF+NpCSATA60GMGgHz/19fp22HuU4+kXcmR6PVA5zJqhu5N7uXET/ywH2RlAIwT9JgBMApTgmytOcyFJzO/G+4+JciW8P03avA1V/JPPK/aOc5nuI/QjE6jzlQcAKgFEjMAxmKYl+DwFP/oo2ml9Y0fRzgTuOccsWLB8QwBm5EwP8Te3IzAPQMACAdD2QAYkVBn/tlZwQeeVCw5l63SEHP735Hkyqi9yaN8rWOnBUBWBsD4QWIGwLh4WbMvvBOcWS2fdCi1StapmgwShXrhyczvbxQemOy/fIAISl4DYBIgMQNgdKw5jGMzuvnZciJ3J90qqOvYTi5kigf++pSGoYR5IeEuep/sDQAgClxjBsAYmdFpG0d4RrhUvfNX+rRg2xWDXLnMtv6MLqxVfnU5735xw/dR7mP8jKgcNwCgLaDHDIDxmtjN5sq8kMxqef9fnxxOqtBoX1MQtKyh8cv4vDd+e+rIN7v1bnfIygCYIugxA2DUXCxZh6cGXMwS/yuh4N83i2b1sB/la9XiFuR6pSYhr/b4s8pLOZK3AmwuzwvxtGKTFTAAoJMgMQNgAqK8rYZ7WV3PkxxOrvz5XgmOI28hh2dGV2u0JfWNRXWNwfbcUb7W66M8YN41AKYOEjMApgHD0CAPwSAPgRbHc8XKXLFCptLQMczenOlvyzU37PpUAAD9gcQMgImhYZiXNdvLGgarAaAmmPwFAAAAGBHCesxZWVkeHh50+n/H0zQazebNm6VSqaur69y5c4k6CgAAAEBtBPSYtVptcnLy999/r1L9XaXozp07IpFozZo1ZWVlRUVFnT8KAAAA0BUQ0GNWKpUZGRlNfWWdrKysgIAAhJCnp2dWVpZIJEIIlZWVicVihJCtrS2DQfDlbQaDodUSU1uYXDQajfA3hxQ0Gg3DMGq8FvS/dsHx19xJbBLodDqVmgZR6KzRodFoOI5T7BVR6eWg/51EhOzqxcxFwDvF4XAmTZr05MmT5hsbGhpsbGwQQkKhsKGhQbfxxIkT58+fRwht27ZNl6qJgmEYj8cjcIckoswnGMMwDMP4fIoUg6TRaEwmk+woiIFhGI1Go0zTIAqdNTo0Gg0hRJnPG6JcAxGbcRQKRYstHX+nLl269OzZs/Dw8L59+774Vx6PV11d7enpWV1dbWdnp9u4aNGiRYsWIYTEYrGu60wUuVzOZrOJ+v1CLg6HI5fLyY6CAFqtVq1Wm5lR5LZaDoejUCio0WPWarUqlYrFYpEdCGEoc9boqNVqhBCVMhnFGkgmk7HZbN3vJ0K0SPMdb/hhw4YNGzbsZX/18fHJzc0NCwvLz8/v379/i79aWVl1+LitGjhw4NGjR+3t7YndLVmo0fuPj48/fvz4Tz/9RHYghKFGuyCEnj9/vnLlyhMnTpAdCJEo0zoIoR9++MHCwmLhwoVkB0IkKjVQZGTkvn37iB33bY7426UyMjK2b98eHh5eUlKyceNGBwcH/UUPAAAAUAxhQyXffvut7h++vr6+vr4IoU8++YSonb/WuHHjOByOwQ4H2kIkEg0YMIDsKEArBAJBVFQU2VGAlwoJCWGzoYCM8RozZoxeBwAwalwzAwAAAKgBKn8BAAAARoS+du1asmP4W319/TfffDN06FB97Fyj0WzatCk+Pj43N7dnz566jVlZWZaWlgROrusivvrqq8ePH0dERLziMRcuXJBIJElJSRUVFS4uLgiawIBaPZXi4uKa2qI5aBd9ePLkyY8//piQkHD9+nVXV9cWM17r6+tra2tbDIfu27ePx+NZW1u3Zf/Qap1ntBmHmu3XaqWRFsXIWi1YBtqivr5eoVBkZ2frbupolVarHTFiRGhoaPON0ATGCdqFcCUlJQcPHly5cuW33377wQcfbNu2TSaTNX9ATk7OjRs3OrDnpi83aDXjQXjGMcb75MRi8ebNm83MzDgczpIlSy5fvnz37t3GxkYajbZq1arz5887OjqGhoYeOnSoR48eDg4OzR988eLF7OxsFotVXV29YMECoVC4evXqFStWcLncFsXIhELhiwXLQFvcvXu3T58+5eXlSUlJvXr12rdvX35+vlarZTKZS5cuTUhI0DWBo6OjrshME2gCAzt9+nTzk0W3ccOGDXBq6NuVK1cmTZqk6xDb2toOGDDg7t27PXv23L59u1qt9vLyqqioKCkpCQwMjI2NxTDM3Nz8448/RggdP368sbFRq9UuX74cx/FNmzapVCpra+vFixfHx8frzqwFCxYgOJuIY4QZxxh7zLW1tdHR0atWrVKr1ZWVlQghW1vbb775xtPT8/nz5699MIZhCxYs6Nu37/3798ViMYfD4XK56IViZLqCZU3FT0Db3bp1KyIiIiwsLDExUbfFz89vzZo1vr6+V69eRf9rghefCE1gDODUMIDKykoHB4em/zo6OlZUVBw7diwqKmrt2rU4jg8aNKhfv34PHz4cOHDgqlWreDze/fv3EUJubm5ffvllQEDApUuXzpw5M2jQoK+//trZ2VnXvW5+ZkGrEcUIM46xJOZ79+4hhHRTxDkczrlz537++efS0lLdFn9/f4SQhYVF87HTlz1Y9yMlNDT04cOHiYmJTeVNdMXIEELV1dVUutXdwKRSaUpKyoEDB+Li4u7evasbw/Hz80MIBQQElJSUoP81wYugCQyg+anUpPl/4dQwABsbm/Ly8qb/lpeXOzo6FhcX+/j4IIRmz56tK7dZUlKiO3f8/Px0507TqVRRUVFaWpqYmLh9+/aysjJzc3P0zzMLWq0zjDzjGEtiPnjwoFgsLisr4/F4p0+fHj58+Pvvv9/046L5pXIajaYrvp2VlYUQevHBujp25ubmGo3m5s2bTRVDdcXIEEL5+fm60wN0wN27d8ePH//5559/9dVXQUFBul+UmZmZCKH09HRd8bWXlRKEJjCA5qdSi5NFB04NAxgyZMixY8d015Wrqqpu3rzZs2dPBweH7OxshNAvv/xSX1+P47i9vb3u3MnMzNT1sHX/TUtLc3Z2dnZ27tu37+LFi4OCgnRzx5qfWdBqnWHkGcdYrjFPmjRp3bp1Wq124cKFGo3mr7/+On36NIvFSkhIEAqFzR/Zp0+fLVu2nDt3TtdXi4iIaP5ggUDQ9MhevXqlpKQ03acfHh7+448/QjGyTkpMTIyOjtb9u3///omJiWw2OzMzc/369RqNZvny5QkJCS97LjSBATQ/lYRCYfOTpQmcGvomEonefvvt7777TrdO1MKFC/l8/sSJE3fs2HHmzBk3NzcPD48TJ07Mnz8/Njb21q1bHA6nT58+GRkZulMJw7ClS5eqVKqtW7fevn3bwsJiwIABupzdBFqtM4w841C5wMjx48ft7OxerNQNiLVv375+/fp5e3uTHQhoKzg1ACAcgaeVsQxlE+7q1aspKSnh4eFkB0J9Tk5OuskOwCTAqQEA4Yg9rajcYwYAAABMDmV7zAAAAIApgsQMAAAAGBFIzAAAAIARgcQMgAlQKpUYhjk6Ojo4ODg7Oy9YsEB3b2XnzZ07d/LkyYTsCgBACJj8BYAJUCqVbDZbd7bK5fLly5eXl5cfPXq0k7uVyWR+fn6FhYVExIgQQiqVSlfTCgDQYdBjBsDEcDicTZs23bhxo7i4GCG0dOlSDw+PwMDATz75BMfxBQsWHDx4ECGk0Wjc3Nx05XybfP31197e3j4+Pt988w1CaPHixVVVVfPmzWt6QKtP37Rpk6enp7+//5o1a3QPa3HQa9euzZ07d9KkSVu3bjXU2wAAdeEAAKOnUChanK2DBw++fPlybm7uqFGjVCpVY2Ojr69vWlraxYsX33rrLRzH4+LiJkyY0Pwp586dCw8Pl0qlDQ0NYWFhcXFxDQ0N7u7uzR/z4tOvXLkSFhZWU1NTX18/YsSI/fv3v3jQhIQEa2vrnJwcvb8RAHQBxlKSEwDQXhiGubu779y588SJEw8ePCgpKVEoFJGRkfPnz6+rqztw4MA777zT/PFXr16dM2eOrhrMrFmzEhISBgwY0GKfLz796tWrNTU1U6ZMQQgVFhY+ePAgOjq6xUERQmFhYR4eHgZ53QBQHAxlA2B6GhsbU1NTfX19b9y4MXLkSLFYPHfu3D59+iCE6HT6mDFjDh48eOvWrZEjR7Z4IoZhTf/QaDQv7vnFp3O53Ojo6Pj4+Pj4+EePHq1bt+7FgyKE+Hy+Hl8wAF0JJGYATExjY+Nnn33Wv39/Z2fnhISEUaNGvfvuuzwe79GjR7pcO23atM8//3z8+PEt5mENHjx43759CoVCJpPt379/yJAhre6/xdOHDRsWGxtbW1urUChGjBhx+fLlVg8KACAKzMoGwAToZmWLRCLdCRsVFbV161Y+n5+bmztp0iQMw7p162ZlZZWenn7hwgWtVisUChMSErp3795iP2vXrj106BBCaObMmV999ZVUKg0KCtItTtfkxadv3br1xx9/bGxsnD59+oYNG1486MqVK7dv3x4bG2uQNwMAioPEDADVPH78eMGCBQ8fPiTl6QCAToKhbAAoJSYmZtKkSdu2bSPl6QCAzoMeMwAAAGBEoMcMAAAAGBFIzAAAAIARgcQMAAAAGBFIzAAAAIARgcQMAAAAGJH/Bx/1cG+Ds7QAAAABSURBVO5virKXAAAAAElFTkSuQmCC\n"
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%%R -w 9 -h 12 -u in\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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\n",
"text/plain": [
"<Figure size 648x864 with 4 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"forecast = m.predict(future)\n",
"fig = m.plot_components(forecast)"
]
},
{
"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": 17,
"metadata": {
"output_hidden": true
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"WARNING:rpy2.rinterface_lib.callbacks:R[write to console]: Disabling daily seasonality. Run prophet with daily.seasonality=TRUE to override this.\n",
"\n"
]
},
{
"data": {
"image/png": 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\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": 18,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\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": 19,
"metadata": {
"output_hidden": true
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"WARNING:rpy2.rinterface_lib.callbacks:R[write to console]: Disabling daily seasonality. Run prophet with daily.seasonality=TRUE to override this.\n",
"\n"
]
},
{
"data": {
"image/png": 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\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": 20,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\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": 21,
"metadata": {
"output_hidden": true
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"WARNING:rpy2.rinterface_lib.callbacks:R[write to console]: Disabling daily seasonality. Run prophet with daily.seasonality=TRUE to override this.\n",
"\n"
]
},
{
"data": {
"image/png": 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\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": 22,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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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",
"fig = m.plot_components(forecast)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Seasonalities that depend on other factors\n",
"In some instances the seasonality may depend on other factors, such as a weekly seasonal pattern that is different during the summer than it is during the rest of the year, or a daily seasonal pattern that is different on weekends vs. on weekdays. These types of seasonalities can be modeled using conditional seasonalities.\n",
"\n",
"Consider the Peyton Manning example from the Quickstart. The default weekly seasonality assumes that the pattern of weekly seasonality is the same throughout the year, but we'd expect the pattern of weekly seasonality to be different during the on-season (when there are games every Sunday) and the off-season. We can use conditional seasonalities to construct separate on-season and off-season weekly seasonalities.\n",
"\n",
"First we add a boolean column to the dataframe that indicates whether each date is during the on-season or the off-season:"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [],
"source": [
"%%R\n",
"is_nfl_season <- function(ds) {\n",
" dates <- as.Date(ds)\n",
" month <- as.numeric(format(dates, '%m'))\n",
" return(month > 8 | month < 2)\n",
"}\n",
"df$on_season <- is_nfl_season(df$ds)\n",
"df$off_season <- !is_nfl_season(df$ds)"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {},
"outputs": [],
"source": [
"def is_nfl_season(ds):\n",
" date = pd.to_datetime(ds)\n",
" return (date.month > 8 or date.month < 2)\n",
"\n",
"df['on_season'] = df['ds'].apply(is_nfl_season)\n",
"df['off_season'] = ~df['ds'].apply(is_nfl_season)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Then we disable the built-in weekly seasonality, and replace it with two weekly seasonalities that have these columns specified as a condition. This means that the seasonality will only be applied to dates where the `condition_name` column is `True`. We must also add the column to the `future` dataframe for which we are making predictions."
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"WARNING:rpy2.rinterface_lib.callbacks:R[write to console]: Disabling daily seasonality. Run prophet with daily.seasonality=TRUE to override this.\n",
"\n"
]
},
{
"data": {
"image/png": 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\n"
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%%R -w 9 -h 12 -u in\n",
"m <- prophet(weekly.seasonality=FALSE)\n",
"m <- add_seasonality(m, name='weekly_on_season', period=7, fourier.order=3, condition.name='on_season')\n",
"m <- add_seasonality(m, name='weekly_off_season', period=7, fourier.order=3, condition.name='off_season')\n",
"m <- fit.prophet(m, df)\n",
"\n",
"future$on_season <- is_nfl_season(future$ds)\n",
"future$off_season <- !is_nfl_season(future$ds)\n",
"forecast <- predict(m, future)\n",
"prophet_plot_components(m, forecast)"
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 648x864 with 4 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"m = Prophet(weekly_seasonality=False)\n",
"m.add_seasonality(name='weekly_on_season', period=7, fourier_order=3, condition_name='on_season')\n",
"m.add_seasonality(name='weekly_off_season', period=7, fourier_order=3, condition_name='off_season')\n",
"\n",
"future['on_season'] = future['ds'].apply(is_nfl_season)\n",
"future['off_season'] = ~future['ds'].apply(is_nfl_season)\n",
"forecast = m.fit(df).predict(future)\n",
"fig = m.plot_components(forecast)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Both of the seasonalities now show up in the components plots above. We can see that during the on-season when games are played every Sunday, there are large increases on Sunday and Monday that are completely absent during the off-season."
]
},
{
"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": [
"%%R\n",
"m <- prophet()\n",
"m <- add_seasonality(\n",
" m, name='weekly', period=7, fourier.order=3, prior.scale=0.1)"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"output_hidden": true
},
"outputs": [
{
"data": {
"text/plain": [
"<fbprophet.forecaster.Prophet at 0x7f1f41e1b090>"
]
},
"execution_count": 20,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"m = Prophet()\n",
"m.add_seasonality(\n",
" name='weekly', period=7, fourier_order=3, prior_scale=0.1)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"### 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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flU0QxMmTJ0+fPi0Wi/v169ehQwerHKy62lbPN5fLpShKp2vuLHSXsyumbL/e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\nQUwEFswIgiAIYiKwYEYQBEEQE/H/AYI8bFO1rApkAAAAAElFTkSuQmCC\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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in3msREXapZUAWFxcjEWLFiEnJwcq1f9PavnDDz9oY3iT0ifCA3+90g3Dlqbj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\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",
"fig = 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.\n",
"\n",
"[This notebook](https://nbviewer.jupyter.org/github/nicolasfauchereau/Auckland_Cycling/blob/master/notebooks/Auckland_cycling_and_weather.ipynb) shows an example of using weather factors as extra regressors in a forecast of bicycle usage, and provides an excellent illustration of how other time series can be included as extra regressors.\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": "3.7.2"
}
},
"nbformat": 4,
"nbformat_minor": 1
}