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fwl_theorem_animation.ipynb
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Frisch-Waugh-Lovell animation\n",
"\n",
"### By [@ryxcommar](https://twitter.com/ryxcommar)\n",
"\n",
"### Dec 30, 2020\n",
"\n",
"Code isn't perfect, but works pretty well.\n",
"\n",
"WYSIWYG.\n",
"\n",
"Ran with **Python 3.8**. No guarantees it will work in other versions.\n",
"\n",
"Dependencies:\n",
"\n",
"- `pip install numpy`\n",
"- `pip install pandas`\n",
"- `pip install statsmodels`\n",
"- `pip install matplotlib`\n",
"\n",
"---\n",
"\n",
"\n",
" Copyright 2020 @ryxcommar\n",
"\n",
" Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the \"Software\"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions:\n",
"\n",
" The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software.\n",
"\n",
" THE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"from typing import overload, Optional, NamedTuple\n",
"from functools import partial\n",
"\n",
"import numpy as np\n",
"import pandas as pd\n",
"\n",
"import statsmodels.api as sm\n",
"from statsmodels.base.wrapper import ResultsWrapper\n",
"\n",
"import matplotlib\n",
"import matplotlib.animation\n",
"import matplotlib.pyplot as plt\n",
"\n",
"plt.style.use('ggplot')\n",
"\n",
"\n",
"def residualize_regression(\n",
" df: pd.DataFrame,\n",
" xcol: str,\n",
" ycol: str,\n",
" w_slope: float = 0.0,\n",
" w_const: float = 0.0,\n",
" _gr: Optional[dict] = None,\n",
" col_prefix: str = '',\n",
" model: Optional[ResultsWrapper] = None,\n",
"):\n",
" \"\"\"\n",
" Use the weights to partially residualize a regresion.\n",
"\n",
" Bigger weight --> more residualization.\n",
" \"\"\"\n",
" if model is None:\n",
" model = sm.OLS(df[ycol], df[['const', xcol]]).fit()\n",
"\n",
" # Partially residualize y\n",
" df[f'{col_prefix}_resid'] = \\\n",
" df[ycol] - (w_slope * df[xcol] * model.params[xcol]\n",
" + w_const * model.params['const'])\n",
"\n",
" # Predict\n",
" residualized_model = sm.OLS(\n",
" endog=df[f'{col_prefix}_resid'],\n",
" exog=df[[xcol, 'const']]\n",
" ).fit()\n",
" df[f'{col_prefix}_est'] = residualized_model.predict(df[[xcol, 'const']])\n",
"\n",
" # Record slope to _gr dict\n",
" if _gr is not None:\n",
" _gr[col_prefix]['slope'] = str(round(residualized_model.params[xcol], 3))\n",
"\n",
" return df\n",
"\n",
"\n",
"class AnimationStage(NamedTuple):\n",
" start: int\n",
" frames: int\n",
" func: callable\n",
"\n",
" @property\n",
" def end_frame(self) -> int:\n",
" return self.start + self.frames - 1\n",
"\n",
" def use(self, i: int) -> bool:\n",
" return self.start <= i < self.start + self.frames\n",
"\n",
" def __call__(self, *args, **kwargs):\n",
" return self.func(*args, **kwargs)\n",
"\n",
"\n",
"@overload\n",
"def sigmoid(n: float) -> float:\n",
" ...\n",
"@overload\n",
"def sigmoid(n: pd.Series) -> pd.Series:\n",
" ...\n",
"def sigmoid(n):\n",
" \"\"\"Logistic function curve.\"\"\"\n",
" return 1 / (1 + np.exp(-n))\n",
"\n",
"\n",
"def smooth(i: int, frames: int, clip: int, stretch: float) -> float:\n",
" _f = lambda x: sigmoid((x - frames / 2) / stretch)\n",
" res = (_f(i) - 0.5) / (1 - _f(clip) * 2) + 0.5\n",
" return max(min(res, 1), 0)\n",
"\n",
"\n",
"def set_default_name(ser: pd.Series, name: str) -> pd.Series:\n",
" \"\"\"If not named, then name it.\"\"\"\n",
" ser.name = ser.name or name\n",
" return ser\n",
"\n",
"\n",
"def create_animation(\n",
" y: pd.Series,\n",
" x1: pd.Series,\n",
" x2: pd.Series,\n",
" first_do_y: bool = False,\n",
" title: str = 'Frisch-Waugh-Lovell Theorem Demo',\n",
" filename: str = 'fwl_animation.gif',\n",
" go_fast: bool = False,\n",
" scatter_kwargs: Optional[dict] = None,\n",
" line_kwargs: Optional[dict] = None,\n",
" errbar_kwargs: Optional[dict] = None,\n",
" slope_text_kwargs: Optional[dict] = None\n",
"):\n",
" # Dataframe\n",
" # =========\n",
" y = set_default_name(y, 'y')\n",
" x1 = set_default_name(x1, 'x1')\n",
" x2 = set_default_name(x2, 'x2')\n",
"\n",
" df = pd.concat([y, x1, x2], axis=1)\n",
" df['const'] = 1\n",
"\n",
" df = df.sort_values(x1.name)\n",
"\n",
" # Display options\n",
" # ===============\n",
" scatter_kwargs = scatter_kwargs or {}\n",
" scatter_kwargs.setdefault('color', '#555b6e')\n",
"\n",
" line_kwargs = line_kwargs or {}\n",
" line_kwargs.setdefault('color', '#555b6e')\n",
"\n",
" errbar_kwargs = errbar_kwargs or {}\n",
" errbar_kwargs.setdefault('color', '#e07a5f')\n",
" errbar_kwargs.setdefault('linestyle', ':')\n",
"\n",
" slope_text_kwargs = slope_text_kwargs or {}\n",
" slope_text_kwargs.setdefault('verticalalignment', 'bottom')\n",
" slope_text_kwargs.setdefault('horizontalalignment', 'left')\n",
" slope_text_kwargs.setdefault('color', '#006d77')\n",
" slope_text_kwargs.setdefault('fontsize', 13)\n",
"\n",
" # Univariate regressions\n",
" # ======================\n",
" x1_on_y = sm.OLS(\n",
" endog=df[y.name],\n",
" exog=df[['const', x1.name]]\n",
" ).fit()\n",
" x1_on_x2 = sm.OLS(\n",
" endog=df[x2.name],\n",
" exog=df[['const', x1.name]]\n",
" ).fit()\n",
" x2_on_y = sm.OLS(\n",
" endog=df[y.name].rename('x1_on_x2_resid'),\n",
" exog=df[['const', x2.name]].rename(columns={x2.name: 'x1_on_x2_resid'})\n",
" ).fit()\n",
"\n",
" # create update functions\n",
" residualize_x1_on_y = partial(\n",
" residualize_regression,\n",
" xcol=x1.name, ycol=y.name,\n",
" col_prefix='x1_on_y', model=x1_on_y\n",
" )\n",
"\n",
" residualize_x1_on_x2 = partial(\n",
" residualize_regression,\n",
" xcol=x1.name, ycol=x2.name,\n",
" col_prefix='x1_on_x2', model=x1_on_x2\n",
" )\n",
"\n",
" residualize_x2_on_y = partial(\n",
" residualize_regression,\n",
" xcol='x1_on_x2_resid', ycol='x1_on_y_resid',\n",
" col_prefix='x2_on_y', model=x2_on_y\n",
" )\n",
"\n",
" # Initialize graph\n",
" # ================\n",
"\n",
" _mpl_objs = {\n",
" 'slopetext': None,\n",
" 'scatter': None,\n",
" 'line': None,\n",
" 'xaxis_title': None,\n",
" 'yaxis_title': None,\n",
" 'err': None\n",
" }\n",
"\n",
" # This dict holds all the params for each graph.\n",
" _gr = {\n",
" 'x1_on_y': {\n",
" 'updater': residualize_x1_on_y,\n",
" 'idx': 0,\n",
" 'model': x1_on_y,\n",
" 'x': x1.name,\n",
" 'y': y.name,\n",
" 'slope': None,\n",
" 'slopetext_ypos': None,\n",
" 'xlim': None,\n",
" 'ylim': None,\n",
" 'mpl': _mpl_objs.copy()\n",
" },\n",
" 'x1_on_x2': {\n",
" 'updater': residualize_x1_on_x2,\n",
" 'idx': 1,\n",
" 'model': x1_on_x2,\n",
" 'x': x1.name,\n",
" 'y': x2.name,\n",
" 'slope': None,\n",
" 'slopetext_ypos': None,\n",
" 'xlim': None,\n",
" 'ylim': None,\n",
" 'mpl': _mpl_objs.copy()\n",
" },\n",
" 'x2_on_y': {\n",
" 'updater': residualize_x2_on_y,\n",
" 'idx': 2,\n",
" 'model': x2_on_y,\n",
" 'x': x2.name,\n",
" 'y': y.name,\n",
" 'slope': None,\n",
" 'slopetext_ypos': None,\n",
" 'xlim': None,\n",
" 'ylim': None,\n",
" 'mpl': _mpl_objs.copy(),\n",
" },\n",
" }\n",
"\n",
" fig, axes = plt.subplots(3, figsize=(10, 18))\n",
" axes[0].set_facecolor('#faf9f9')\n",
" axes[1].set_facecolor('#faf9f9')\n",
" axes[2].set_facecolor('#faf9f9')\n",
"\n",
" # The way the axes are set is a lil weird.\n",
" # First two are different than final.\n",
" fudge_x1 = (x1.max() - x1.min()) / 50\n",
" fudge_x2 = (x2.max() - x2.min()) / 50\n",
" fudge_y = (y.max() - y.min()) / 50\n",
"\n",
" _gr['x1_on_y']['ylim'] = [\n",
" min(y.min(), x1_on_y.resid.min(), x1_on_y.resid.min() + x1_on_y.params['const']) - fudge_y,\n",
" max(y.max(), x1_on_y.resid.max(), x1_on_y.resid.min() + x1_on_y.params['const']) + fudge_y\n",
" ]\n",
" _gr['x1_on_x2']['ylim'] = [\n",
" min(x2.min(), x1_on_x2.resid.min(), x1_on_x2.resid.min() + x1_on_x2.params['const']) - fudge_x2,\n",
" max(x2.max(), x1_on_x2.resid.max(), x1_on_x2.resid.min() + x1_on_x2.params['const']) + fudge_x2\n",
" ]\n",
"\n",
" for i in ['x1_on_y', 'x1_on_x2']:\n",
" _gr[i]['xlim'] = [\n",
" x1.min() - fudge_x1,\n",
" x1.max() + fudge_x1\n",
" ]\n",
"\n",
" # Final axis is a bit weird\n",
" _xlim = pd.concat([\n",
" x2,\n",
" (x1_on_x2.resid + x1_on_x2.params['const'])\n",
" ], axis=1)\n",
" _ylim = pd.concat([\n",
" y,\n",
" (x1_on_y.resid + x1_on_y.params['const'])\n",
" ], axis=1)\n",
"\n",
" _gr['x2_on_y']['xlim'] = [\n",
" _xlim.min().min() - fudge_x2,\n",
" _xlim.max().max() + fudge_x2,\n",
" ]\n",
" _gr['x2_on_y']['ylim'] = [\n",
" _ylim.min().min() - fudge_y,\n",
" _ylim.max().max() + fudge_y,\n",
" ]\n",
"\n",
" fig.suptitle(title, fontsize=18)\n",
" fig.text(0.5, 0.07, '@ryxcommar', fontsize=10, ha='center', color='#e07a5f')\n",
"\n",
" # Init axes\n",
" for k, v in _gr.items():\n",
" # Update regression\n",
" df = v['updater'](df, w_slope=0, w_const=0, _gr=_gr)\n",
" ax = axes[v['idx']]\n",
" v['slopetext_ypos'] = v['ylim'][1] - (v['ylim'][1] - v['ylim'][0]) / 12\n",
"\n",
" v['mpl']['scatter'] = ax.scatter(\n",
" df[v['x']], df[f'{k}_resid'], **scatter_kwargs\n",
" )\n",
" v['mpl']['line'] = ax.plot(\n",
" df[v['x']], df[f'{k}_est'], **line_kwargs\n",
" )\n",
" v['mpl']['xaxis_title'] = ax.set_xlabel(\n",
" v['x'], fontsize=14\n",
" )\n",
" v['mpl']['yaxis_title'] = ax.set_ylabel(\n",
" v['y'], fontsize=14\n",
" )\n",
" v['mpl']['slopetext'] = ax.text(\n",
" v['xlim'][0],\n",
" v['slopetext_ypos'],\n",
" f' Slope = {v[\"slope\"]}',\n",
" **slope_text_kwargs\n",
" )\n",
"\n",
" v['mpl']['err'] = {}\n",
" for i in df.itertuples():\n",
" v['mpl']['err'][i.Index] = ax.plot(\n",
" [getattr(i, v['x']), getattr(i, v['x'])],\n",
" [getattr(i, f'{k}_resid'), getattr(i, f'{k}_est')],\n",
" **errbar_kwargs\n",
" )\n",
"\n",
" ax.set_xlim(v['xlim'])\n",
" ax.set_ylim(v['ylim'])\n",
" # The way the axes are set is a lil weird.\n",
" ax.set_title(' ~ '.join([v['y'], v['x']]), fontsize=18)\n",
"\n",
" # Wow that was annoying.\n",
" # We're finally at the point where we can start animating, hoorah.\n",
"\n",
" def _stage1(i):\n",
" w = smooth(i, 100, 2, 10)\n",
" which = 'x1_on_y' if first_do_y else 'x1_on_x2'\n",
" _gr[which]['updater'](df, w_slope=w, w_const=0, _gr=_gr)\n",
" _gr['x2_on_y']['updater'](df, _gr=_gr)\n",
"\n",
" def _stage2(i):\n",
" w = smooth(i, 70, 2, 10)\n",
" which = 'x1_on_y' if first_do_y else 'x1_on_x2'\n",
" which_ax = 'y' if first_do_y else 'x'\n",
" which_dir_slopetext = _gr['x2_on_y']['slopetext_ypos'] if first_do_y \\\n",
" else _gr['x2_on_y']['xlim'][0]\n",
" which_meth = _gr['x2_on_y']['mpl']['slopetext'].set_y if first_do_y \\\n",
" else _gr['x2_on_y']['mpl']['slopetext'].set_x\n",
" which_ax_set_lim = axes[2].set_ylim if first_do_y \\\n",
" else axes[2].set_xlim\n",
"\n",
" _gr[which]['updater'](df, w_slope=1, w_const=smooth(i, 70, 2, 10), _gr=_gr)\n",
" _gr['x2_on_y']['updater'](df, _gr=_gr)\n",
"\n",
" shift = _gr[which]['model'].params['const'] * w\n",
" which_ax_set_lim([\n",
" _gr['x2_on_y'][f'{which_ax}lim'][0] - shift,\n",
" _gr['x2_on_y'][f'{which_ax}lim'][1] - shift,\n",
" ])\n",
" which_meth(which_dir_slopetext - shift)\n",
"\n",
" def _stage3(i):\n",
" w = smooth(i, 100, 2, 10)\n",
" which = 'x1_on_y' if not first_do_y else 'x1_on_x2'\n",
" _gr[which]['updater'](df, w_slope=w, w_const=0, _gr=_gr)\n",
" _gr['x2_on_y']['updater'](df, _gr=_gr)\n",
"\n",
" def _stage4(i):\n",
" w = smooth(i, 70, 2, 10)\n",
" which = 'x1_on_y' if not first_do_y else 'x1_on_x2'\n",
" which_ax = 'y' if not first_do_y else 'x'\n",
" which_dir_slopetext = _gr['x2_on_y']['slopetext_ypos'] if not first_do_y \\\n",
" else _gr['x2_on_y']['xlim'][0]\n",
" which_meth = _gr['x2_on_y']['mpl']['slopetext'].set_y if not first_do_y \\\n",
" else _gr['x2_on_y']['mpl']['slopetext'].set_x\n",
" which_ax_set_lim = axes[2].set_ylim if not first_do_y \\\n",
" else axes[2].set_xlim\n",
"\n",
" _gr[which]['updater'](df, w_slope=1, w_const=w, _gr=_gr)\n",
" _gr['x2_on_y']['updater'](df, _gr=_gr)\n",
"\n",
" shift = _gr[which]['model'].params['const'] * w\n",
" which_ax_set_lim([\n",
" _gr['x2_on_y'][f'{which_ax}lim'][0] - shift,\n",
" _gr['x2_on_y'][f'{which_ax}lim'][1] - shift,\n",
" ])\n",
" which_meth(which_dir_slopetext - shift)\n",
"\n",
" def _update_label1(i):\n",
" which = 'x1_on_y' if first_do_y else 'x1_on_x2'\n",
" which_2 = 'y' if first_do_y else 'x'\n",
" _y = _gr[which]['y']\n",
" _x = _gr[which]['x']\n",
" new_title = f'{_y} - pred({_y}|{_x})'\n",
" _gr[which]['mpl']['yaxis_title'].set_text(new_title)\n",
" _gr['x2_on_y']['mpl'][f'{which_2}axis_title'].set_text(new_title)\n",
"\n",
" def _update_label2(i):\n",
" which = 'x1_on_y' if not first_do_y else 'x1_on_x2'\n",
" which_2 = 'y' if not first_do_y else 'x'\n",
" _y = _gr[which]['y']\n",
" _x = _gr[which]['x']\n",
" new_title = f'{_y} - pred({_y}|{_x})'\n",
" _gr[which]['mpl']['yaxis_title'].set_text(new_title)\n",
" _gr['x2_on_y']['mpl'][f'{which_2}axis_title'].set_text(new_title)\n",
"\n",
" stages = [\n",
" AnimationStage(0, 100, _stage1),\n",
" AnimationStage(100, 70, _stage2),\n",
" AnimationStage(100, 1, _update_label1),\n",
" AnimationStage(170, 10, lambda i: None),\n",
" AnimationStage(180, 100, _stage3),\n",
" AnimationStage(280, 1, _update_label2),\n",
" AnimationStage(280, 70, _stage4),\n",
" AnimationStage(350, 31, lambda i: None)\n",
" ]\n",
"\n",
" frames = max(i.end_frame for i in stages)\n",
" if go_fast:\n",
" frames //= 2\n",
"\n",
" def update_after_each_frame():\n",
" for k, v in _gr.items():\n",
" for i in df.itertuples():\n",
" if k == 'x2_on_y':\n",
" _gr[k]['mpl']['err'][i.Index][0].set_data(\n",
" [getattr(i, 'x1_on_x2_resid'), getattr(i, 'x1_on_x2_resid')],\n",
" [getattr(i, f'{k}_resid'), getattr(i, f'{k}_est')]\n",
" )\n",
" else:\n",
" _gr[k]['mpl']['err'][i.Index][0].set_data(\n",
" [getattr(i, v['x']), getattr(i, v['x'])],\n",
" [getattr(i, f'{k}_resid'), getattr(i, f'{k}_est')]\n",
" )\n",
"\n",
" v['mpl']['line'][0].set_ydata(df[f'{k}_est'])\n",
" if k == 'x2_on_y':\n",
" v['mpl']['scatter'].set_offsets(df[['x1_on_x2_resid', f'{k}_resid']])\n",
" v['mpl']['line'][0].set_xdata(df['x1_on_x2_resid'])\n",
" else:\n",
" v['mpl']['scatter'].set_offsets(df[[v['x'], f'{k}_resid']])\n",
" v['mpl']['slopetext'].set_text(f' Slope = {v[\"slope\"]}')\n",
"\n",
" def animate(i):\n",
" if go_fast:\n",
" _i = i * 2\n",
" else:\n",
" _i = i\n",
" for f in filter(lambda x: x.use(_i), stages):\n",
" f(_i - f.start)\n",
" update_after_each_frame()\n",
" if i % 25 == 0 and i > 0:\n",
" print('frame:', str(i).rjust(int(np.log10(frames) + 1)), '/', frames)\n",
"\n",
" ani = matplotlib.animation.FuncAnimation(fig, animate, frames=frames)\n",
" ani.save(filename, fps=24)\n",
" print(f'Done! Saved to {filename}')\n"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<table class=\"simpletable\">\n",
"<caption>OLS Regression Results</caption>\n",
"<tr>\n",
" <th>Dep. Variable:</th> <td>y</td> <th> R-squared: </th> <td> 0.977</td>\n",
"</tr>\n",
"<tr>\n",
" <th>Model:</th> <td>OLS</td> <th> Adj. R-squared: </th> <td> 0.976</td>\n",
"</tr>\n",
"<tr>\n",
" <th>Method:</th> <td>Least Squares</td> <th> F-statistic: </th> <td> 997.5</td>\n",
"</tr>\n",
"<tr>\n",
" <th>Date:</th> <td>Wed, 30 Dec 2020</td> <th> Prob (F-statistic):</th> <td>3.22e-39</td>\n",
"</tr>\n",
"<tr>\n",
" <th>Time:</th> <td>18:47:22</td> <th> Log-Likelihood: </th> <td> -95.281</td>\n",
"</tr>\n",
"<tr>\n",
" <th>No. Observations:</th> <td> 50</td> <th> AIC: </th> <td> 196.6</td>\n",
"</tr>\n",
"<tr>\n",
" <th>Df Residuals:</th> <td> 47</td> <th> BIC: </th> <td> 202.3</td>\n",
"</tr>\n",
"<tr>\n",
" <th>Df Model:</th> <td> 2</td> <th> </th> <td> </td> \n",
"</tr>\n",
"<tr>\n",
" <th>Covariance Type:</th> <td>nonrobust</td> <th> </th> <td> </td> \n",
"</tr>\n",
"</table>\n",
"<table class=\"simpletable\">\n",
"<tr>\n",
" <td></td> <th>coef</th> <th>std err</th> <th>t</th> <th>P>|t|</th> <th>[0.025</th> <th>0.975]</th> \n",
"</tr>\n",
"<tr>\n",
" <th>const</th> <td> 9.4673</td> <td> 0.546</td> <td> 17.337</td> <td> 0.000</td> <td> 8.369</td> <td> 10.566</td>\n",
"</tr>\n",
"<tr>\n",
" <th>x1</th> <td> -2.2003</td> <td> 0.128</td> <td> -17.213</td> <td> 0.000</td> <td> -2.458</td> <td> -1.943</td>\n",
"</tr>\n",
"<tr>\n",
" <th>x2</th> <td> 3.1931</td> <td> 0.081</td> <td> 39.647</td> <td> 0.000</td> <td> 3.031</td> <td> 3.355</td>\n",
"</tr>\n",
"</table>\n",
"<table class=\"simpletable\">\n",
"<tr>\n",
" <th>Omnibus:</th> <td> 0.120</td> <th> Durbin-Watson: </th> <td> 1.914</td>\n",
"</tr>\n",
"<tr>\n",
" <th>Prob(Omnibus):</th> <td> 0.942</td> <th> Jarque-Bera (JB): </th> <td> 0.279</td>\n",
"</tr>\n",
"<tr>\n",
" <th>Skew:</th> <td>-0.095</td> <th> Prob(JB): </th> <td> 0.870</td>\n",
"</tr>\n",
"<tr>\n",
" <th>Kurtosis:</th> <td> 2.687</td> <th> Cond. No. </th> <td> 27.3</td>\n",
"</tr>\n",
"</table><br/><br/>Notes:<br/>[1] Standard Errors assume that the covariance matrix of the errors is correctly specified."
],
"text/plain": [
"<class 'statsmodels.iolib.summary.Summary'>\n",
"\"\"\"\n",
" OLS Regression Results \n",
"==============================================================================\n",
"Dep. Variable: y R-squared: 0.977\n",
"Model: OLS Adj. R-squared: 0.976\n",
"Method: Least Squares F-statistic: 997.5\n",
"Date: Wed, 30 Dec 2020 Prob (F-statistic): 3.22e-39\n",
"Time: 18:47:22 Log-Likelihood: -95.281\n",
"No. Observations: 50 AIC: 196.6\n",
"Df Residuals: 47 BIC: 202.3\n",
"Df Model: 2 \n",
"Covariance Type: nonrobust \n",
"==============================================================================\n",
" coef std err t P>|t| [0.025 0.975]\n",
"------------------------------------------------------------------------------\n",
"const 9.4673 0.546 17.337 0.000 8.369 10.566\n",
"x1 -2.2003 0.128 -17.213 0.000 -2.458 -1.943\n",
"x2 3.1931 0.081 39.647 0.000 3.031 3.355\n",
"==============================================================================\n",
"Omnibus: 0.120 Durbin-Watson: 1.914\n",
"Prob(Omnibus): 0.942 Jarque-Bera (JB): 0.279\n",
"Skew: -0.095 Prob(JB): 0.870\n",
"Kurtosis: 2.687 Cond. No. 27.3\n",
"==============================================================================\n",
"\n",
"Notes:\n",
"[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n",
"\"\"\""
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"np.random.seed(42069)\n",
"\n",
"df = pd.DataFrame({'x1': np.random.uniform(0, 10, size=50)})\n",
"df['x2'] = 4.9 + df['x1'] * 0.983 + 2.104 * np.random.normal(0, 1.35, size=50)\n",
"df['y'] = 8.643 - 2.34 * df['x1'] + 3.35 * df['x2'] + np.random.normal(0, 1.65, size=50)\n",
"df['const'] = 1\n",
"\n",
"\n",
"model = sm.OLS(\n",
" endog=df['y'],\n",
" exog=df[['const', 'x1', 'x2']]\n",
").fit()\n",
"\n",
"model.summary()"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
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]
},
{
"data": {
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\n",
"text/plain": [
"<Figure size 720x1296 with 3 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x1296 with 3 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"create_animation(\n",
" y=df['y'],\n",
" x1=df['x1'],\n",
" x2=df['x2'],\n",
" title='FWL Theorem Demo\\n(residualize x_2 then y)',\n",
" filename='fwl_x2.gif'\n",
")\n",
"\n",
"create_animation(\n",
" y=df['y'],\n",
" x1=df['x2'],\n",
" x2=df['x1'],\n",
" title='FWL Theorem Demo\\n(residualize x_1 then y)',\n",
" filename='fwl_x1.gif'\n",
")"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"frame: 25 / 380\n",
"frame: 50 / 380\n",
"frame: 75 / 380\n",
"frame: 100 / 380\n",
"frame: 125 / 380\n",
"frame: 150 / 380\n",
"frame: 175 / 380\n",
"frame: 200 / 380\n",
"frame: 225 / 380\n",
"frame: 250 / 380\n",
"frame: 275 / 380\n",
"frame: 300 / 380\n",
"frame: 325 / 380\n",
"frame: 350 / 380\n",
"frame: 375 / 380\n",
"Done! Saved to fwl_x2_reverse.gif\n",
"frame: 25 / 380\n",
"frame: 50 / 380\n",
"frame: 75 / 380\n",
"frame: 100 / 380\n",
"frame: 125 / 380\n",
"frame: 150 / 380\n",
"frame: 175 / 380\n",
"frame: 200 / 380\n",
"frame: 225 / 380\n",
"frame: 250 / 380\n",
"frame: 275 / 380\n",
"frame: 300 / 380\n",
"frame: 325 / 380\n",
"frame: 350 / 380\n",
"frame: 375 / 380\n",
"Done! Saved to fwl_x1_reverse.gif\n"
]
},
{
"data": {
"image/png": 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Wf/zxh9n9jG20detWvP3222jSpAn8/PzQvHlzfPbZZ9X+7gAwZswY6PX6Su28ceNGeHl54f7777fpeYy6du1q8QJhzJgxAMrmb1Z011134caNGxbf60Q1ATdlJ3KT/fv3IycnB7fffrvV+8ycORPFxcWYOnUqQkND0aJFCwDAhAkT8PXXX2PkyJGYPHkyCgsLsXz5cvTt2xcrV67E0KFDAQBffPEFJk6ciO7du+Pf//43AgICcOnSJaxfvx7JycmIiYmx+tq//vorEhISEBISgmeeeQbh4eH45ptv7P4ytmTZsmVIS0vD/fffj3r16uHKlSv4z3/+gz59+mDbtm12b9QdExODL774wuLrbNmyBbVq1TIdmz17Nl599VUMGDAAL7/8Mry8vLBq1SqMGjUKH3zwAR555BGrr9OuXTt06NABn332Gf79739Dr9ebbrty5Qo2btyIKVOmICgoyOpzfPHFF3jiiScQHR1tlvCVb4srV66gZ8+eGD58ON566y0cPnwYH3/8MbKysrBp0ybT/TIzM3HnnXfi4sWLmDJlCm655RZcvXoVixYtQufOnbFv375Kw8PPPfcc8vPz8eCDD8LPzw8ffvghJk2ahKZNm6Jr165W4waAxYsXIykpCePHj8ehQ4cQHR2Na9eu4f777zdtuq6Gy5cvA4BZuxndcccdAIDt27djwIABqrwekVQUInKLTz/9VAGgrFmzptJtS5cuVQAozZs3V3Jzc81uW7lypQJA+fjjj82OFxcXKx06dFAaNWqkGAwGRVEUZfjw4UpISIhSXFxcZSwTJ05UKn7877jjDsXHx0c5efKk6VhhYaHSqVMnBYAyZ86cSvFu27at0nPHx8crDRs2NDuWk5NT6X7Xrl1ToqKilLvuuqva2ObMmaMAUM6dO2f1d1q7dq3i5eWlDB8+3PT32L9/vwJAefbZZyvd/+6771ZCQkKUrKwsq8+pKIry8ccfKwCUH3/80ez4K6+8ogBQfv311yofryiK0rBhQyU+Pt7qbQCUb7/91uz4ww8/rABQTpw4YTr22GOPKf7+/sqhQ4fM7nv+/HklJCREmThxoumYsY3atm2rFBYWmo5fvnxZ8fX1Ve69995q41YURdm7d6/i4+OjDB48WCktLVUSEhIUX19fZf/+/TY9vjrZ2dlK48aNlbCwMCU1NdXifby9vZXBgwer8npEsuHQJ5GbGIceIyMjrd7noYceQmBgoNmxL7/8EiEhIRg2bBhu3Lhh+i8jIwNDhgzB+fPncfr0aQBAWFgY8vLy8OOPP1aamF2V5ORk7NmzB3fffTeaN29uOu7r64snnnjCnl/TovI9Tjk5OUhNTYVer0fnzp3x66+/Ov38hw4dwtixY9GuXTt8+eWXpmHd5cuXQ6fTYeLEiWZ/uxs3bmDo0KHIzs7Gnj17qnzu++67D8HBwViyZInpmKIo+PTTT9G6desqe0htVadOHYwePdrsWO/evQHA1LaKomD58uXo0aMH6tata/a7BAUFoUuXLma9b0YPP/wwfH19TT/XrVsXzZs3Nz1vdTp37oxXXnkF69atQ48ePZCYmIi5c+eiffv2jv66JqWlpRg/fjzOnTuHDz/80OpnIzIyEsnJyU6/HpGMOPRJ5CbG5KGqBKp8kmR0/PhxZGdnWxwWMrp+/TqaN2+O5557Djt37sSwYcMQFRWF+Ph43HXXXRgzZgxCQkKsPt44v+nmm2+udFurVq2sPs5WZ8+exfPPP4+NGzciIyPD7DZnFwhcuXIFgwcPRnh4ONauXWuW6B4/fhyKolj8vYyuX79e5fMHBwdj7NixWLZsGVJSUhATE4Pt27fjjz/+wPz5852K3SguLq7SsaioKABAamoqgLJEPzU1FZs2bbI6hO3lVfna29pzX7hwweb4nn76aaxbtw4///wz+vXrh8cff9zmx1pjMBgwZcoUrFmzBq+++irGjh1r9b6KonAhCdVYTNSI3MT45ZqWlmb1PhV704CyL6mYmBh89dVXVh936623AgCaNWuGY8eOYcuWLdiyZQt27NiBqVOnYs6cOdi5cyeaNGni5G9RpqovzZKSErOfc3Jy0KNHD+Tm5uLxxx9H69atERISAi8vL7z++uvYunWrw3Hk5uZiyJAhyMzMxK5du3DTTTeZ3W78gv/pp5/M5peVd8stt1T7OtOmTcMnn3yCzz//HE899RSWLFkCPz8/TJgwweHYy7MWG/B3Ym/8f0JCAp555hmnn9ueHtfz58/jyJEjAIAzZ84gJyenysS/OgaDAf/4xz/w+eefY86cOXjuueeqvH96enqV8yuJPBkTNSI3MSZTtg45GTVr1gynTp1Cly5dEBwcXO39/fz8MHDgQFMJkPXr12PQoEF49913sXDhQouPady4MYCylYcVHTt2rNIx4xCVpaTz3LlzZqtat2zZgj///BOffvopJk+ebHbf2bNnV/v7WGMwGDB27FgcPnwYa9asQZs2bSrdp1mzZtiwYQMaNGiAli1bOvxaHTt2RLt27bBkyRI88MAD+OGHHzBs2LAqh7HLU6M3KCYmBuHh4cjKykJCQoLTz2erkpISjB07FiUlJViwYAH+7//+Dw899BC+/PJLh57PmKQtXboUs2fPrnbHi/Pnz6OkpMT0+SGqaThHjchN2rVrh9DQUOzdu9eux91///0wGAx49tlnLd5efujuxo0blW43ziWqqievVq1a6NKlC9asWYNTp06ZjhcVFWHevHmV7m8cok1MTDQ7/vXXX+PPP/80O2bs0anYg7Np0yan5qc9+eSTWLt2Ld555x0MHjzY4n2MPV7PPfccSktLK91e3bBneVOnTsXx48cxY8YMFBQU4B//+IfNjw0ODq7y728LLy8vjBs3Dv/73/+slhZxxTyu2bNn49dff8UHH3yAGTNm4KmnnsLy5cttLvFRnqIomDp1KpYuXYrnnnsOL7/8crWPMX5e4uPj7X49Ik/AHjUiN9Hr9RgxYgRWr16NwsJC+Pn52fQ4Y0mODz74AAcOHMDgwYMRHR2Ny5cvY8+ePThz5oxpjlm/fv0QHh6O7t27o379+sjIyDDV06pumO7dd99Fz5490bVrVzzyyCOm8hwVhzIBoEWLFkhISMDHH38MRVHQtm1bHDp0CKtWrULTpk3NtgPq1q0bateujaeeegrnz59HvXr1cOjQIXzxxRdo3bo1fvvtNzv+imV++uknvPfee2jVqhWio6Mr9e7cdtttuO2229CpUye8+OKLePHFF9G2bVuMGjUKderUwdWrV7F//36sX78eRUVFNr3muHHj8PTTT+PLL79E48aN0adPH5vj7dKlC5YsWYJ//etfaNmyJby8vDBkyJAqy3pY8uqrr+KXX37B6NGjMXr0aHTp0gW+vr64cOEC1q9fjw4dOqi6A8LmzZvx5ptv4r777sOkSZMAAK+99hp27NiBRx99FHfeeSeaNWtm8/M9/fTT+PTTT9GmTRu0bNmyUrs1adLEVI7DaP369YiOjkavXr2c/n2IpKTFUlOimurXX39VACgrVqwwO15VuQujzz//XOnWrZsSEhKi+Pn5KQ0bNlSGDx+ufPPNN6b7LF68WElISFBq1aql+Pj4KLVr11buuusuZevWrWbPZakEhqIoyo4dO5Q77rhD8fPzU2JjY5WHH35Y+e233yqV51AURbl69aoycuRIJSQkRAkKClIGDBigHDt2zGJ5jsOHDyv9+/dXwsPDleDgYCU+Pl7ZuXOnxThsKc9h/HtZ+69irOvWrVP69eunREREKL6+vkq9evWUAQMGKB9++KHVv7clU6ZMUQAo//73v+163PXr15URI0YoERERik6nM/tdrJXu2LZtmwJAWbp0qdnx3Nxc5d///rdy6623Kv7+/kpwcLBy8803K//4xz+UvXv3mu5nbwkVSzHXrl1badKkSaUSJmfOnFFCQkKUDh06mJX+qE58fHyV7Va+vIiilJV1CQoKUmbOnGnzaxB5Gp2i2DGjlIicNmDAAOTm5uLnn3/WOhSy08MPP4zFixebegbJtd577z08//zzOH36dKWFIkQ1BRM1Ijc7evQo2rRpg/Xr16Nfv35ah0M2yszMRP369REfH4+1a9dqHY7Hy8/PR1xcHKZPn445c+ZoHQ6RZpioERFV4ffff8fBgwfx2WefYevWrfjll18qzaOqyfLz85GZmVnt/WrXru2GaIg8DxcTEBFVYcWKFXjppZdQt25dLFq0iElaBd9++22lsiuWsE+AyDHsUSMiIoddvXoVR48erfZ+7qz9RuRJmKgRERERCYoFb4mIiIgExUSNiIiISFBM1IiIiIgExUSNiIiISFBM1IiIiIgExUSNiIiISFBM1IiIiIgExUSNiIiISFBM1IiIiIgExUSNiIiISFBM1IiIiIgExUSNiIiISFBM1IiIiIgExUSNiIiISFBM1IiIiIgExUSNiIiISFBM1IiIiIgExUSNiIiISFBM1IiIiIgExUSNiIiISFBM1IiIiIgExUSNiIiISFBM1IiIiIgExUSNiIiISFBM1IiIiIgExUSNiIiISFBM1IiIiIgExUSNiIiISFBM1IiIiIgExUSNiIiISFBM1IiIiIgExUSNiIiISFBM1IiIiIgExUSNiIiISFBM1IiIiIgExUSNiIiISFBM1IiIiIgExUSNiIiISFBM1IiIiIgExUSNiIiISFBM1IiIiIgExUSNiIiISFBM1IiIiIgExUSNiIiISFBM1IiIiIgExUSNiIiISFBM1IiIiIgExUSNiIiISFBM1IiIiIgExUSNiIiISFBM1IiIiIgExUSNiIiISFBM1IiIiIgExUSNiIiISFBM1IiIiIgExUSNiIiISFBM1IiIiIgExUSNiIiISFBM1IiIiIgExUSNiIiISFBM1IiIiIgExUSNiIiISFBM1IiIiIgExUSNiIiISFBM1IiIiIgExUSNiIiISFBM1IiIiIgExUSNiIiISFBM1IiIiIgExUSNiIiISFBM1IiINHL16lU8//zzGDBgAGJiYqDT6TBp0iStwyIigTBRIyLSyMmTJ/Haa6/h2LFj6NSpk9bhEJGAvLUOgIiopurQoQOSk5MRExODGzduICYmRuuQiEgw7FEjIimtWrUKOp0On3zyicXbb7nlFjRt2hSKorg1rjFjxkCv12P79u1mxzdu3AgvLy/cf//9pmMhISFMzoioSkzUiEhKQ4YMQe3atfHpp59Wum3v3r04duwYpkyZAp1O59a4Fi9ejIYNG2L8+PG4ceMGAODatWu4//770bRpUyxatMit8RCR3JioEZGUvL29MXnyZFNSVt6SJUug1+vtmpivKAqys7Or7IHLyMio9nnCwsLw9ddfIzk5GZMnT4bBYMCECROQkZGBb775BsHBwTbHRETERI2IpDV16lTodDosWbLEdCw3Nxfffvst7rrrLtSpU6fa5zh//jymTJmCyMhIhIaGIjAwEH379sW8efOwf/9+XLx4ERs3bsSwYcPw3nvv2RRX586d8corr2DdunXo0aMHEhMTMXfuXLRv397h35WIaiad4u4JHEREKurXrx8OHTqEK1euwMfHB0uXLsWUKVOwevVq3H333dU+vlevXvDy8sLYsWNRu3ZtnD17Fhs3bsT27duRn58PAPDy8sLQoUPx9ttvo0mTJjbFpSgK4uPj8fPPP6Nfv37YsGFDlcOwxsUEEydOxLJly2x6DSLyfFz1SURSmzZtGkaNGoX//ve/uOeee7BkyRLUrl0bgwYNsunx7733Hm677TazY//3f/+HwsJCHD16FHl5ebj55psRHR1tV1znz5/HkSNHAABnzpxBTk4OQkJC7HoOIiIOfRKR1O6++27ExsZiyZIlOHnyJH755RdMnDgR3t62XYdWTNKM/Pz80L59e3Tr1s3uJK2kpARjx45FSUkJFixYgHPnzuGhhx6y6zmIiAAmakQkOR8fH0yaNAkbN27ESy+9BAB44IEHNI1p9uzZ+PXXX/HBBx9gxowZeOqpp7B8+XJ89tlnmsZFRPLhHDUikt6ZM2fQvHlz07ywijXM3Gnz5s3o378/xo4di+XLlwMAiouL0bVrVxw/fhwHDhxAs2bNTPd/5ZVXAAB5eXl4/fXX0a5dO4wYMQIA0KNHD/To0cP9vwQRCYOJGhF5hD59+mDr1q34/PPPMWHCBE1iSE5ORps2bRAUFISDBw+azUk7e/Ys2rVrh+bNm2P37t3w9fUFgCoXGMyZMwcvvviiq8MmIoExUSMijzBw4EDs2bMHf/75JwICArQOh4hIFZyjRkTSO3PmDDZu3Ijx48czSSMij8IeNSKS1q+//orjx49jwYIFOH78OI4fP45GjRppHRYRkWrYo0ZE0vrwww8xZcoUZGVlYfny5UzSiMjjsEeNiIiISFDsUSMiIiISlEdvIVVcVGT6t97bG6UlJRpGQ45i28mLbScvtp282HZy8vmrZE9F7FEjIiIiEhQTNSIiIiJBMVEjIiIiEhQTNSIiIiJBMVEjIiIiEhQTNSIiIiJBMVEjIiIiEhQTNSIiIiJBMVEjIiIiEhQTNSIiIiJBMVGzk+/MF/DLuQtah0FEREQ1gEfv9Wkvg8GA17fsxPL9h3AtOwe+ej1axEbjpQF90LNpnNbhOa3UYMDzP27G5/sOoqCkBAnNm2LRyCGIDgqy+piNJ07jn2s34FxqOuKiIvHW0AHo26KpG6MmIiKquYRL1B555BH4+/vDy8sLer0ec+fORU5ODubNm4eUlBTExMTgiSeeQHBwsOqv/da2Xfjm4BH8MHkcWtaKQU5hIX45dxEBPj6qv5YW3tz6M/579AR2PTYNUYGBmPrdakz+6gesnXq/xfv/kZqG0Z99g0Ujh2JUm1uw4shRjFr2NQ49/SgaRUa4OXoiIqKaR7hEDQDmzJmD0NBQ08+rV69G69atMWzYMKxevRqrV6/G+PHjVX/dPecvYlCrFmhZKwYAEOznh/43N6vyMSuPHMWrm7fjQnoGGkaE41/9emFY61YAgM+TDuL1xB2Y0rkD3v95D0oNCsZ1aINXB/WFj14PALiYnoGn/7sBu89fhA7AoFYt8OaQAQjx91P991uydx+e79sTcVGRAIDXB/VDy7nzcSEtAw0jwyvd/4t9h9C+3k0Y16ENAOC+9m3wyZ4kfLHvEP7Vr5fq8REREZE5IRO1ipKSkvDiiy8CAOLj4/Hiiy+6JFHrHtcIb279GREBAejauAHa1a2DID9fq/ffc/4iJn71A76feC8SmjfBppNnMObzb7Hlocm4vWF9AMCF9AxcysjEyeeewJ+Z2Rjyny8QGRSAWX3iUVBcjP4fLcOYdq2x7L57UFBcgolfrcCTa9bjkzHDLb7mjB/W4puDv1mN6ene3fDP3j0qHc/Iz8fFjEy0q1fHdKxJdCRC/f1w5Oo1i4nakT+voX25+wNAu7p1cOTPa1Zfn4iIiNQjZKL26quvAgD69u2LhIQEZGZmIiKibKgtPDwcmZmZLnndJ3t2Re3QEHx78Aje2b4LeUXF6HdzM7w3fBDqh4dVuv/nSQcxvHUrDGjZHAAwsFUL3H1rSyxLOmhK1Lx0Oswd3A8BPj5oEh2Jmb264e1tuzCrTzx+PHYKChS8OKAPACDAxwcvDuiDHu9/go9G3Q29V+W1Hu/fMwTv3zPE7t8tu7AIABDm7292PNzfH1kFhRYfk1NYiNAK9w8L8Mex68l2vz4RERHZT7hE7eWXX0ZkZCQyMzPxyiuvoE4d8x4dnU4HnU5n8bGJiYlITEwEAMydOxd6b2+zx5X/2Zr7O3fA/Z07AAD2X7qCf3z9AyZ99QO2PzbNdB8vvR56b29czsxGh/p1zJ63aUwUDlz+E3pvb+i8vBAbEoyQwEDT7Y2jo3AlMwt6b29czMzExfRMxMx+rdLvmJKXj7oWkkNHhf8VQ05xsVm8GQUFCA8KtPi3CfH3R3ZhkdltWYWFCA3wt+lvqRZb247Ew7aTF9tOXmw7zyJcS0ZGls2fCgsLQ6dOnXDmzBmEhYUhPT0dERERSE9PN5u/Vl5CQgISEhJMP5eWlJj+rff2NvvZFm1vqoXJt7fHCz9tMXusobQUpSUlqBcWgnOpaWa3nb2RinphoSgtKYFiMCA5OwfZeXkI9C0bQj13IxV1/7q9XmgomsVE4fDTMyy+vqV4H1nxX3x14IjVmJ/p0x2z+sRXOh7i64MG4WHYf/EyWteOBVC2WCCroBC3xEZbfK3WN9XCjjPnzG47eOlP9GoWZ/ff0hmOtB2JgW0nL7advNh2cvLytTzVSqg6agUFBcjPzzf9+8iRI2jQoAE6duyIHTt2AAB27NiBTp06ueT15+/4BRuOn0JmfgEA4HRKKr7cdwjdGjeweP8JHdti1ZFj2HTyNEoNBmw4fgqrfzuOiZ3ame5jUBQ89+Nm5BcX44/UNLy7/RdM6NgWADCoVXMUl5Zi7pYdyC4ohKIouJKZhdW/HbMa48KRQ5H+2myr/1lK0owe6NIRb237GedS05FVUIDnftyMfi2aWl3BOb5DW+y//Ce+OXgExaWl+ObgERy4/KcpfiIiInItoXrUMjMz8fbbbwMASktL0a1bN7Rt2xZNmjTBvHnzsHXrVlN5DlcI9ffHa4k7cCrlBgpLShEVGID+NzfDS3f1sXj/Oxs3xJJ7R+CZtRtxMT0TDSLCsGzsPej81/w0AGgYEY66YaFo/to8lBoMGNv+Nszs1Q0AEOjri43TJ2P2+s1o/eYCZBcW4abQEIxqe6tp5aia/tm7OzLy83Hnex+jsLQEfZo1wbL77jHd/tWBw3hkxVqkvzYbQNlig+8m3ot/rt2Aad+uRuOoCHw/aSxLcxAREbmJTlEUResgXKW4qMj0by26go3lOY4/+7hbX9fTsBtfXmw7ebHt5MW2k5OPDEOfRERERPQ3JmpEREREguLQJwmPbScvtp282HbyYtvJiUOfRERERJJhokZEREQkKCZqRERERIJiokZEREQkKCZqRERERIJiokZEREQkKCZqRERERIJiokZEREQkKCZqRERERIJiokZEREQkKCZqRERERIJiokZEREQkKCZqRERERIJiokZEREQkKCZqRERERIJiokZEREQkKCZqRERERIJiokZEREQkKCZqRERERIJiokZEREQkKCZqRERERIJiokZEREQkKCZqRERERIJiokZEREQkKCZqRERERIJiokZEREQkKCZqRERERIJiokZEREQkKG+tA7DEYDBg1qxZiIyMxKxZs5CcnIz58+cjOzsbcXFxmDFjBry9hQydiIiISDVC9qitX78edevWNf385ZdfYtCgQXj//fcRFBSErVu3ahgdERERkXsIl6ilpqbiwIED6NOnDwBAURQcPXoUXbp0AQD07NkTSUlJWoZIRERE5BbCjR8uW7YM48ePR35+PgAgOzsbgYGB0Ov1AIDIyEikpaVZfGxiYiISExMBAHPnzoW+3PCoTqcz+5nkwbaTF9tOXmw7ebHtPItQLbl//36EhYUhLi4OR48etfvxCQkJSEhIMP1cWlJi+rfe29vsZ5IH205ebDt5se3kxbaTk5evr8XjQiVqJ0+exL59+3Dw4EEUFRUhPz8fy5YtQ15eHkpLS6HX65GWlobIyEitQyUiIiJyOZ2iKIrWQVhy9OhRrF27FrNmzcK7776Lzp07o2vXrli8eDEaNmyI/v37V/scxUVFpn/zCkNebDt5se3kxbaTF9tOTj5WetSEW0xgybhx47Bu3TrMmDEDOTk56N27t9YhEREREbmcsD1qamCPmmdg28mLbScvtp282HZykrpHjYiIiKgmYqJGREREJCgmakRERESCYqJGREREJCgmakRERESCYqJGREREJCgmakRERESCYqJGREREJCgmakRERESCYqJGREREJCgmakRERESCYqJGREREJCgmakRERESCYqJGREREJCgmakRERESCYqJGREREJCgmakRERESCYqJGREREJCgmakRERESCYqJGREREJCgmakRERESCYqJGREREJCgmakRERESCYqJGREREJCgmakRERESCYqJGREREJCgmakRERESCYqJGREREJCgmakRERESCYqJGREREJCgmakRERESC8tY6gPKKioowZ84clJSUoLS0FF26dMHo0aORnJyM+fPnIzs7G3FxcZgxYwa8vYUKnYiIiEh1OkVRFK2DMFIUBYWFhfD390dJSQleeOEFTJo0CevWrUPnzp3RtWtXLF68GI0aNUK/fv2qfb7ioiLTv/Xe3igtKXFl+OQibDt5se3kxbaTF9tOTj6+vhaPCzX0qdPp4O/vDwAoLS1FaWkpdDodjh49ii5dugAAevbsiaSkJC3DJCIiInIL4cYPDQYDnnnmGVy7dg39+/dHrVq1EBgYCL1eDwCIjIxEWlqaxccmJiYiMTERADB37lzoyw2P6nQ6s59JHmw7ebHt5MW2kxfbzrMI15JeXl546623kJubi7fffht//vmnzY9NSEhAQkKC6efyXb/sCpYX205ebDt5se3kxbaTk5eVoU+bEjWDwYBjx47h2LFjSE5ORlFREUJDQxEXF4fbbrsN0dHRqgYLAEFBQbjllltw6tQp5OXlobS0FHq9HmlpaYiMjFT99YiIiIhEU2WiVlRUhHXr1mHjxo3IyclBo0aNEBERAV9fX6SkpGD//v1YvHgx2rRpg3vuuQfNmzd3KpisrCzo9XoEBQWhqKgIR44cwd13341bbrkFe/fuRdeuXbF9+3Z07NjRqdchIiIikkGVqz6nT5+O5s2bo2fPnrjtttsslsRISUnBrl27sHnzZowYMcJs6NFeFy5cwMKFC2EwGKAoCu644w6MHDkS169fx/z585GTk4PGjRtjxowZ8PHxqfb5uOrTM7Dt5MW2kxfbTl5sOzlZW/VZZaJ28eJFNGjQwKYXKCkpQUpKCm666SbHInQBJmqegW0nL7advNh28mLbycmhRE12TNQ8A9tOXmw7ebHt5MW2k5PL6qgVFBTg2LFjzj4NEREREVXgdKJ27do1vPTSS2rEQkRERETlCLUzARERERH9rdo6amPGjHFHHERERERUQbWJmq+vLwYNGoRGjRpZvD05ORnLly9XOy4iIiKiGq/aRK1Ro0YIDg42bYpe0fnz55moEREREblAtXPU2rVrh7y8PKu3BwcHIz4+XtWgiIiIiIh11EgCbDt5se3kxbaTF9tOTi6rowaU7UpAREREROqyOVF74403kJ2dXen45cuX8dxzz6kaFBERERHZkajl5uZi5syZOHz4sOnYhg0bMGvWLJv3AyUiIiIi29k8R81gMGDlypVYuXIlEhIScP36dZw6dQoPPPAAunXr5uo4HcI5ap6BbScvtp282HbyYtvJydoctWrLcxh5eXlh5MiRMBgM+OGHH+Dl5YWXXnoJzZs3Vy1IIiIiIvqbzUOfxcXF+PTTT7FmzRqMGjUKrVq1whtvvIGkpCRXxkdERERUY9ncozZr1iyUlpbi3//+N5o0aQIAWLt2LebPn4/u3btj+vTpLguSiIiIqCayOVFr1qwZJk+eDD8/P9OxIUOGoHXr1nj//fddEhwRERFRTaZKwdvi4mL4+PioEY+quJjAM7Dt5MW2kxfbTl5sOzm5tOCtiEkaERERkeyqHPpctGiRQ096++23o2PHjg49loiIiIjKVJmoxcTEOPSkgYGBDj2OzCWnpOL7VRuRnpGFiPBQjBreH7ExUVqHRURERG7CTdkFlZySitffXozklDTTsdiYSDw7c1qNS9Zkazv6G9tOXmw7ebHt5OT0HLXz58+rFQvZ4PtVG82SNABITknD96s2ahQRERERuZvN5TmeeeYZNGrUCH369EG3bt04vOli6RlZAIDptXIAAB9dDwYAZPx1nIiIiDyfzYna/PnzsW3bNqxcuRJffPEFOnXqhN69e+PWW291ZXw1VkR4KABgX455V2j4X8eJiIjI89k9R81gMODQoUPYtm0b9u/fj6ioKPTq1Qvx8fGIihJr7hTnqHkG2dqO/sa2kxfbTl5sOzlZm6Pm8GKCoqIibNq0CV9//TVKSkrg5eWFzp074/7770dkZKRTwapF5kQNKEvWVqz8CRkZ2QiLCKuxqz5lbDsqw7aTF9tOXmw7OamWqJ05cwZbt27Fnj17EBAQgJ49e6J3795IT0/Hd999h5ycHLz++uuqBO0s2RM1ALix7G0AQPSkmRpHoh1Z247YdjJj28mLbScna4mazXPU1q1bh23btuHq1ato3749ZsyYgbZt28LLq2zhaHR0NKZPn45HHnlEnYgJABDYvpvWIRAREZFGbE7UNm3ahN69e6Nnz54IDw+3eJ+wsDBMnz5drdgIQOBtXbQOgYiIiDQiVMHbGzduYOHChcjIyIBOp0NCQgIGDhyInJwczJs3DykpKYiJicETTzyB4ODgap/PE4Y+DcWFAAAvHz+NI9GOrG1HbDuZse3kxbaTk0Nz1JKTkxEbG2vTCyiKgtTUVERHRzsWIYD09HSkp6cjLi4O+fn5mDVrFp5++mls374dwcHBGDZsGFavXo2cnByMHz++2ufzhESNc9TkbTti28mMbScvtp2cHNqZ4Pnnn8eHH36IU6dOWb1PTk4ONm3ahCeffBL79u1zKsiIiAjExcUBAAICAlC3bl2kpaUhKSkJ8fHxAID4+HgkJSU59ToyCeoYj6CO8VqHQURERBqoco7a/PnzsXLlSrz++uvw8vJCXFwcIiIi4OPjg9zcXFy+fBlXrlxB06ZNMXHiRLRt21a1wJKTk3Hu3Dk0bdoUmZmZiIiIAACEh4cjMzNTtdcRXcCtnbQOgYiIiDRSZaIWFBSECRMmYMyYMThw4ABOnDiBlJQUFBUVISQkBPHx8WjTpg0aNGigalAFBQV45513MGnSpEpbVel0Ouh0OouPS0xMRGJiIgBg7ty50Ht7mz2u/M+yMBTkAQC8/Gvull2yth2x7WTGtpMX286z2NSSvr6+6NKlC7p0cf0KxJKSErzzzjvo3r07OnfuDKBsNWl6ejoiIiKQnp6O0FDL2yglJCQgISHB9HP5MXpZx+xvfLkAAOeoydh2xLaTGdtOXmw7OXk5MkfN3RRFwUcffYS6deti8ODBpuMdO3bEjh07AAA7duxAp041ZzgwqHNvBHXurXUYREREpIEqV32+9NJLNj/RnDlznA7mxIkTeOGFF9CgQQPT8ObYsWPRrFkzzJs3Dzdu3Khx5TmIbScztp282HbyYtvJyaHyHJ9++qnp3waDAT///DPCw8PRrFkzAGXbSaWnp6N79+74xz/+oXLIzvOERK00LxsAoA8M0TgS7cjadsS2kxnbTl5sOzk5vdfnsmXLYDAYMHnyZLPJ/MuWLYOiKJg8ebI6karIExI11lGTt+2IbScztp282HZycqiOWnk7d+7EgAEDKq247NevH3bu3OlcdGRV8B19EXxHX63DICIiIg3YvH5XURRcvHgRderUMTt+8eJF1YOiv/m3aKN1CERERKQRmxO1Xr164eOPP8a1a9dMc9ROnz6NNWvWoFevXi4LsKYrzSkr7qsPDtM4EiIiInI3m+eoGQwGrF27FuvXr0dGRgaAsl0CBg4ciCFDhsDLS6hKHwA4R81TyNp2xLaTGdtOXmw7OTm9mKC8vLyyavkVdw0QjSckagVnfgcA+De9VeNItCNr2xHbTmZsO3mx7eRkLVGze4+Js2fP4vr162jfvj2Asu2efHx8oNfrnYuQLKrJCVpNk5ySiu9XbUR6RhYiwkMxanh/xMZEaR0WERFpyOZELSMjA2+99RbOnDkDAFiwYAH8/f3x+eefw8fHR8jyHJ6gNDMNAKAPi9Q4EiYSrpSckorX316M5JQ007EzZy/g2ZnT+DcmIqrBbJ5Y9tlnnyEsLAxLliyBn5+f6XiXLl1w5MgRlwRHQPqqT5G+6tPq7+hixkRi996DOH7iLHbvPfhXYpGqdWge4ftVG82SNABITknD96s2ahQREZHnSU5JxcLFX+GVNz/CwsVfSfEdZnOP2u+//45//etflbZuql27Nm7cuKF6YFQmpMdArUMAUHUi8ci0+zSKynOkZ2QBAKbXygEAfHS97HOW8ddxIiJncERE3pELmxO1oqIieHtXvntWVhZ8fHxUDYr+5hfXSusQADCRcLWI8FAAwL4c88mk4X8dJyJylKwJitpk7XCweeizZcuW2L59u+lnnU4Hg8GA1atX49ZbOeHdVUrSU1CSnqJ1GGaJRPlkgomEOsqubiOxL9cX+3LL/r6xMZEYNby/xpERkew4taJM+Q4HY6cDIH6Hg809auPHj8ecOXNw9uxZFBcX4/PPP8elS5eQl5eHl19+2ZUx1mgZaz4DoH0dtVHD++PM2QvYV+7DzkRCPbExUXh25jSsWPkTMjKyERYRViOHJohIfRwRKSPryIXNiVq9evXwzjvvYNOmTfDx8UFxcTHuuOMO9O/fHxEREa6MsUYL6TlE6xAAMJFwh9iYKIz2uwbUAqInPaR1OETkIWRNUNQma4eDTQVvS0pK8MILL+DRRx+ttNenyDyh4K1otNgpoSa1Xd6RvQCAwNu6aByJOmpS23katp28KradpTlqsTGRNW6OGlD2txC1w8Gpgrfe3t5ITk5WNSCyTcmNawAA7+jaGkdSJrB9N61D8GiekqARkTg4IvI3GUcubB76jI+Px5YtWzBhwgRXxkMVZKz7EoD2c9SMmEi4lqG4EADg5eNXzT3Fl5ySihWrNyEtPbPGlgMgEoWMCYqryNbhYHOiVlhYiJ9//hlHjhxBXFycWdFbAJgyZYrqwREQ2me41iGY8aREQkRpy98HIE5i7iiWAyASj2wJiqvI1uFgc6J25coVxMXFAQCHQd3It34TrUMw4ymJhKiCOsZrHYIqZK1XROTJZEtQXEW2DgebE7U5c+a4Mg6yojj5CgDAJ7auxpGU8ZREQlQBt3bSOgRVsBwAkXhkS1BcRbYOB5sTNaOioiJcu1Y2wb127drwtbJKgdSRuf5rAOK8oTwlkRCVoSAPAODlH6hxJM5hOQAi8ciWoLiKbB0ONidqxcXFWL58OTZv3oySv5b9ent7IyEhAePGjWPC5iKhfUdqHYIZT0kkRJX2zSIA8p9IZa1XROTJZEtQXEW2Dgeb6qgBwKJFi3DkyBGMGzcOzZs3BwCcOnUKX331FVq3bo2HH37YpYE6gnXU1Mc6aq6Vf/wAACCgZXuNI3Feckoqfli1AenpWTW6HICsatLnztOw7aomaoeDU3XUAGDv3r2YOXMmbrvtNtOxWrVqISwsDO+8846QiZonKL52CQDgU7u+xpGUCercW+sQPJonJGhGxnIASi2lxpcDIBKBqAmKu8k2cmFzoubn54fIyMhKxyMjIzns6UKZG74FIM4bypMSCRGV5mUDAPSBIRpHoo6gDj1gMJRqHQYRQb4ExVVk63CwOVG766678P333+ORRx4xJWZFRUVYsWIFBgwY4LIAa7qwAWO0DsGMpyUSokn/7mMAnnMiDWp7B4dgiAQhW4LiKrJ1ONg8R23u3Lk4fvw4vLy80LBhQwDAxYsXUVpailatWpnd95lnnlE/Ugdwjpr6OEfNtQpOHgYA+Ldoo3Ek6tAZSlFaWlLjywHIqCZ97jwN265qonY4OD1HLTQ0FJ07dzY7Fhsb61xUVK2iK+cBAL51G2kah1HwHX21DsGjyZ6gJaek4vtVG5GekYWI8FCM8LoIH29vj+khJJKZqAmKu8k2cmFzosbFAtrI2rwCgDhvKNkTCaByMiHSasTSnEwAgD44TONI7Gdp2yjvm/xw96A+GkYlN5HfqyQf2RIUV5Gtw8HugrfkXmEDx2odghmZEwlA/D0o01d8AkDOE6mlbaN2Xi1Eye9X8cidGgUlMdHfqyQf2RIUV5Gtw8FL6wCoaj6xdYXZPgooSySMyYSMqtqDUgTB3QYguJuci3PKbxtl3DrKX6cgNz1dy7CkJfp7leTj36KNdEmKK5TmZJo6HWQgVI/aokWLcODAAVNtNgDIycnBvHnzkJKSgpiYGDzxxBMIDg7WOFL3Kbp0FoA4m7PLmkQYib4HpX/TW7UOwWGWto2aFJuLUMN5jSKSm+jvVZKP7CMiapFt5EKoHrWePXviueeeMzu2evVqtG7dGgsWLEDr1q2xevVqbYLTSNaWVcjaskrrMEz8m97qMclE+YRClD0oSzPTUJqZVv0dBVQ2fyoS+3J9sS+37G/7uy4atXoN1jgyOYn+XiX5yD4iohbZRi6EStRatWpVqbcsKSkJ8fFl+5PFx8cjKSlJi9A0Ez54PMIHj9c6DBOZEwnAcjIh0h6U6as+RfqqT7UOwyGxMVF4duY0dO3cBre0iMOdXdph1MynULsL9xd0hOjvVZKPbAmKq8jW4eDQ0OfEiRPx5ptvolatWmrHU0lmZiYiIiIAAOHh4cjMtD6unJiYiMTERABldd/03n//ejqdzuxnWehr19M6BDOpq5cCAGIfcF+tPDXb7qabauH5Zx7C9yt+REZGNsIiwjD6nrtQKzZaled3VlivIQAg5XsVKPv7jvG/DtQGYh+YAUNeDpTCfOiDanY5AEeo9V69nnwD3/3wk2nlqK3PIes5k6y3XdDNbd0fjIBK/ups8A6rvNuSiBz6FNpYI1d1Op0OOp3O6u0JCQlISEgw/Vy+4J+sBQALz58EAPg1aqFxJGWCu98FAG79W6rddtGR4RjlexWIBaInTQfg3t+nKj4Ny9pZlHgcEdCuK4Cy3yH164VQFEWauSCicfa9amnl6Okz521aOSrrOZOst51xNEQvSYLiKqnfLwYg3hw1L2cL3molLCwM6enpiIiIQHp6OkJDa9b8jOztawEAfpPESNT84lpVfycJBLbvpnUIFpWkpwAAvCNiNI7EcYG3dTH9O6RrfxhKudenM5x5r1a1cvSRafc5GxpJxjitQrQExd1CegzUOgS7OJSode/eHQEBAWrHYlHHjh2xY8cODBs2DDt27ECnTp3c8rqiCL97otYhmPGERAIwTyZEkrHmMwByn0gNxYUAAC8fPwTc3Ja9Mk5y5r3KlaNUnmwJiqvI1uHgUKI2depUteMAAMyfPx/Hjh1DdnY2pk+fjtGjR2PYsGGYN28etm7dairPUZOIlhB5QiIBmCcTIgnpOUTrEJyWtvx9AGXvkdLsTJSWltT4cgDOcOa9aqlkCsCVozWVbAmKq8jW4WDzpuwy8oRN2Qv/OAZAnA+YFnPmXNF2WmwuX1Pk/162Mjvg1k5I/ewdzlFzkjPvVUtz1GJjIjlHzcNZazvZEhRXEfX87/Sm7KSN7J3rAYiTqImyqMFZQR3FLBlRcuMaAMA7urbGkTgu4Na/pyeE9BjIOWpOcua9aiyZsmLlT6aVo9wvtObylBERZ8k2csEeNcGJtkpHi0RC1rZzhKhXevYwFOQBALz8A2tU24nMkfcV205e1tpOtCoCZI49apISJUEzylj3JQC5EwnAPJkQSWif4VqH4LS0bxYBKHuPlGSmwVBSItz7WCZqvFdtWTmanJKK71dtNNVbGzNyIKIjwx1+TRIPE7Qyso1c2Jyovfnmm+jTpw/atWsHLy+hNjTwaAVnfgcgzh6QnpBIAObJhEhE2dPVGUGde5v+nbbiE85Rc5Ia79XqVo5amst29o+LmPXUVA6TehDZEhRXka3DweZEzd/fH/Pnz0dgYCDi4+PRq1cv3HTTTa6MjQDk7NoAQJxEzRMSCcA8mRBJcfIVAIBPbF2NI3FcQMv2pn+H9hzMOWpOUuO9Wt3KUUv11q4np7LemoeRLUFxFdk6HGxO1B577DHk5eVh165d2LZtG9asWYObb74ZvXv3xh133AFfK2Or5JyIka4pheIoT0gkAPNkQiSZ678GIPeJtDQvGwCgDwyBf5NbOM/JSWq8V8uXTLGE9dZqBtkSFFeRrcPBrjlqgYGB6NevH/r164dLly5hy5YtWLx4MZYuXYo777wTAwcORL16Yu1NKTvR6k95QiIBmCcTIgntO1LrEJyW/t3HAP6ao5aWjNLS0hpfDsAZarxXq1s5ynprNYNsCYqryNbh4NBigrS0NCQlJeHAgQPQ6/Xo3LkzUlNT8fTTT2Ps2LEYOnSo2nHWWAUnDwMA/Fu00TiSMp6QSADmyYRIfOs20joEpwXf0df077RVSzlHzUlqvFfLl0yxZNTw/jhz9gL2lRv+rBUbhVHD+zv8miQe2RIUV5Gtw8Hm8hwlJSXYt28ftm3bhiNHjqBRo0bo06cPunXrBn9/fwDAvn378MEHH2DZsmWujNlmnlCewxPKNTjLFW0nWgJsVHztEgDAp3Z9jSNRR/GlszCUlnC1mRPUeK/asnI0OSXVrN4aV33Ky9o5k98nZYqunAcg3oWx0+U5HnzwQSiKgm7dumHu3Llo2LBhpfu0bNkSQUFBjkdJlUSMflDrEMx4SiIhWoJmlLnhWwByn0hLczIBlA3b+zduIeUFkkjUeK/asnI0NiYKo/2uAbWA6EkPSXtxS9Z5yoiIs0RL0Kpjc4/azp070aVLF6kWDXhCj5potLgic0XblU8mROIJiXD594ghPQWG0tIaXw7AGWq8V/OPHwBQ/cKEvCN7AZSV8+A5U15su6qJep611qPGnQkEZ+sJ1l20eIPLtNdnxaKhNXG7nvK1/7jXp/O0Gq6S9ZxJ1ttO1ATF3UQdAubOBJLK/XUrAHESNU/5gAd3G6D6c1oqGnrm7AWbNsA2EnXuhD3K1/wL63sP66g5SY33qq0rR6urt0Zy84SpFWoIGzBG6xDswh41wdm6fYy7enK0SCRkabuFi7/C7r0HKx2/s0s7m4uGinqlZ4/y+9PK0naeztb3Vfn7se3kxR41ObFHTVK27O+nRk+OrbI2rwAgdyIBuGazezWKhoYNHKtaPFpJX/UpgLL3SNH1yzCUltb4cgDOUOO9Wr5kSlWqq7dGcmOCVsZah4OoU1eYqAku//ckAFXXQbK0/UtySppLtn/xhEQCME8m1KJG0VBPSGhCegw0/Ttj3XLOUXOSGu9VW1eOVldvzdOJ+kWtFk+YWqEGSx0O7uzwsBcTNRto+eHN3bcDQNUnUHdu/yJzIlG+HZsH+KNHV3W/lCwVDY2NibSraGjRpbMA5K4g7hfXyvTvsP6jOUfNSeUTX0fZunLU1qkWnkjkL2q1eMqIiLMsdTi4s8PDXkzUqqH1hzdy3Ixq7+PO7V9kTSQqtuNxAHsuZ+PZ+k1Va8fYmCg8O3OaWdFQe5P6rC2rAMh9Ii1JTwEAeEfEwK9eY85zclL5xNdR6Ss+AVD9+8qWemueSs0valF75jxlRMRZljocRN7vlolaNbTOsm1ZfaVGT46tZE0kKrZjpLcBJek3VG/HikVD7RU+eLxqsWglY81nAP6ao3b1YtkcNc6NcVj5xNdRtq4cDerc2+HXkJ1aX9RaX9xXReYRETVZ6nAQeb9bJmrV0DrLLl+A0ho1enJsJWsiUbEdjXa6oB0D23dz+LGeUBg2pOcQ078z1n/NOWpOKp/4Oqp8yZSqiFIGSAtqfVFrfXFfFVlHRNRmqcPBnR0e9mKiVg2ts+y8A7sAVJ2oAc735NhK1kSiYjumlXgBAGo3Vr8dq2urqhSePwkAUu+N6deoRdnQz+Kv4JXuhZDgQPRLSa3ywkHUoSIRlE98HWXrylFb6615IrW+qLW+uK+KrCMiarPU4eDODg97MVGrhtZZdtSEx22+rzM9ObaSNZFwZzs6UzQ0e/taAIDfJLn+vuVdP3UCH3/6LU4m/917uf/iYqtDPyIPFYlAjc+arStH07/72Kb7eSK1vqi1vrivimwjIq66gLPW4eCuDg97seCtDZJTUoXMsrUg816f5duxbogPBiR0Q63mN6sQoTln/kZqzEfS2uHXn0ZWVg4+uh6Mer5l7Xa5yNtq4V81CgV7spIb1wA415td+McxANUvTCg4eRhAWTmPmlrw1tlznKULj9iYSLdeeHhC27ny71hVh4Mt041chQVvnaBllp13aDcAILDtndXe1x3bv4TfPdHm+4o2nFW+HQEAu9cBLkjUnCkaKnOCZvQrauF8Rgmm18pBHd9S/Fmkx0fXg60O/Yg8VCSCjHVfAnDu4sjWlaO21lvzZM6OTIg8hCbTiIgr5/pVNXKhRYJWHSZqNnLHsKIl9iRqacvfB+Da3i5bEwlRh7OM7ejKhMiZoqG29nyIrDiqDi6cvo59Ob4I0xvwe74PAOtDPyIPFYkgtM9wp5/D1p5aW+uteTI1vqhFHUKTaWqFKy/gqupwEHG/WyZqNtIqy7Yn6XLH9i+2JhKirnxyRzs6UzQ0e+d6ANb/vqL1UloyskcbZPxxGvvKzVGraj6g1vNARafGCj1bV47aWm/Nk6n1Ra3VxX1V7BkR0ZorL+CqumBxR4eHvZio2UjELLu85JRUfL/7dNkX+O7TLvsCry6RMBJ1OMvYjqXpNwC4pq6QM0VDI4ZPsXqbqL2UFen3/oTJTXyxunEb+KZdQ1BIEPqMGW01RpGHikRQnHwFgHPvVVtXjtpab82TqfVFLeQQmkRTK1x5AVdVh4OI+90yUbORVll27v6fAQBBHbpbvY/xCzzrRioA4Liic9kXeFWJhNn9BB3OMrajkSva05mioVWVTxC1l7Ki0L4jAQCjN69Ase4SfILrI7qa96GoQ0UiyFz/NQAn56jZOCfJ1nprnkytL2oRL+5FmlpR3eiAKy/gqupwEHG/WyZqNtIqy84/WrYpe1WJmvELfHqtXABlvVeu+gKvrg6TkajDWcZ21LtyjpoTRUMLzvwOwPIXpqi9lBUZN3wObN8NSm42/Jq1tulxIg4VicCY+DrD1pWjttZb82RqfVGLOIRm64iIq9k6OuCqC7iqOhxE3O+WiZqNtMqyo+9/str7GL/Ag7zMK6244gu8qkSiPFGHs9zRjs4UDc3ZtQGA5b+vqL2UFRVfuwSgbOjHnjIBIg4VicCY+DrD1pWjttZb82RqfVGLOIRm64iIq9kzOuCKC7iqLkRE3O+WiZqNRMyyjYxf4DuyzLvYXfEFXlUiUZGIw1nGdizNKBsmdsUelM4UDY0YOdXqbaL2UlaUueFbAEDkuBkoOnccis7LpqE3EYeKRGBMfJ15r9q6cjSkx0CHX8NTqPVFLeIQmig9pfaMDrjiAq6qDgcR97uVJlE7dOgQli5dCoPBgD59+mDYsGFufX2tsuzcpO0AgKBOPa3ex/gFfiz1humYq77Aq0okLBFtOMvYjkauaM/gO/o6/NiqyiKI2ktZUdiAMQDKhn6Kr12CT+36NpUDEHGoSATGxNeZv4utK0e1HhITgVpf1CJe3Ns6IuJq9owOuOICrqoOBxH3u5UiUTMYDFiyZAlmz56NqKgoPPvss+jYsSPq1avnthi0yrILTpVVCq8qUTN+gV/95HWUlJRib+0OLvsCt7e+kmjDWcZ2dOXqJ2eKhpavDG+JiL2UFRl7foI6xkPJz4Vv01tsepyIQ0UiMCa+zrB15agn7IzhLLW+qEUcQrNnRMSV7BkdcMUFXFUdDiLudyvFFlKnTp3C999/j+effx4AsGpV2cayw4dX3Z1f3RZSX3y1Bhcu/alytNoZVngcALDar6XLXqN+aVlBzEt62xI2vWIAAJTqvBx/UZ0OEP9tahKgFAMA8nU+dj/2rsLTAICf/JpZvU+T0rKT21m9GMMYFUUbyha13PAKkq7tPE1RcTFSUtIxPjgZOp0OG/ybw9fH+vvS7P1XQ9vOTyn7nijUOdeP0bA0AwBwQR/uZEQOsNJ2zpyb1FZUXIzUlDSUlJTAy9sHMTERFt+bjUvTAQDn9BFuicuWc7A9Gtavgwn33W3TfaXeQiotLQ1RUX/3DkVFReH06dOV7peYmIjExEQAwNy5c6H3/vvX0+l0Zj8DQPvLe9GqqBA/+TW3KY67Ck8BgNX7V3e7q632d/2whZfurw+/TmfT/Ut1eqder2FpOnQAzrv4Q6r766Sm2Ph7VSVfV/nDZusJ8if/6t87Z73FGuosr7ioGIdv5KKkpATe3rmIjYmETxWJgVGooQAAkOXl73QMrv4cRhrKhrTSvMQZ0rKkuKgYVy//ida+efhfljf25frCx+cqGtavAx9fy21S/v2nQ9WfB63Pd65SqEISY+/fJtyQDwDI8Apw+rWBym2n9vOroYG+EA1qB+Gavuqeq3Pe6lyQFhcVI/lG2l/nJm/ERkda/BzYcg62VYihEAEl+ZVyD3tJkajZKiEhAQkJCaafy/egWepRa/XUywCADnrb/gxFl86W3d/KfA/jpN8OLpigLoq/Nyye7rbXtNR2anZPu6Pa/99/txlmx/OPHwBg/3CLiHv2GZfcNy9NA3TAvixfBPj7YdZTU6v9e6r5vjL+bTo48bcRqd6UoxYu/gpn/riIdhFlFwn7cn1RXFyC2Ngom8r2VLdi1zgHq4NAc7BEYXz/dNDo/SPDpuxqfOZtPX9aOjf5+/m6rVi4rW3hJXOPWmRkJFJTU00/p6amIjLSuSzbkS/n6ibkumIFoWgi733Yra9XmpcN6L0BP/MrQWdWVpZn/AA3yLuGIAC7T/i6pFiwtYrvub9uBWB/oibinn3GJfcjapVNOdiX64vryak21fNTYz9LIzWS16rqTRVdOQ9AnbIZrpSekYX2QUX4X44vDuT+/QWgVtkekSbJi8beBN/YCaDGdmFaPL8j1NjOytbzp6VzkzuKhat1wSdFotakSRNcvXoVycnJiIyMxO7du/HYY485/HyOfjlXNyFXlhO4M9x9ck7/7mPodDpETXzK7LgzKyvLc9cH2NrkXUcTXxH37DMuuTcutTeyJTFQ8wvE1uKuVamq3lTW5hUAxJokbklEeChuSy97X5dP1NQq25P/e1kxbhHLUGjN3kUZWVvK5l276j3l6ud3hBoLVmw9fzpzbnKGWgWGpUjU9Ho9pkyZgldffRUGgwG9evVC/fqO9145+uVc3VYuspzAneHuk3PwHX3hpa88z82ZlZXluesDbK3iu6OJr4ir8iKsJAC2JAZq7GdpZGtx16pUVW8qbOBYh5/XnUYN74833j5vVlhUzbI9uft2AGCiZknGms8A2P4eDB883pXhuPz5HaFGb5Ot509nzk3OUKvAsBSJGgC0b98e7durs2za0S/n6rZykeUE7gx3n5z9W7SxPEctp2z1qb3lQipy1wfYWsV3RxNfEedQGZfcl08MasVG2ZQYqLGfpZEaw6hV1ZtSI5l0lzp1b0JeYdkctaZxDTBh7FDVhvQjx82o/k41VEjPIXbd35neXxGe3xFq9DbZev60dG5yR7FwtQoMS5OoqcnRL+fqhjRlOoE7yt0n59KczLI5agFBZsfTV3wCwPkvdnd9gK1VfHc08RVlz77yjPX8vl+1ERkZWQgPD8WYkQMRHRle7WPV2M/SSI1h1KrqTYk436ei8tM7mqNs1ODylWuqvgZ3kLDO3nmSrl4cJOLiIzV6m2w9f1o6N7mjWLhaBYalqKPmKGt11CxtCBsbE1n9HLVqtnKR4QQumxvL3rY4R03NCtvGhSXu/AAbOVp1W5bNs7VYfabGMGpVPbZ/r1YTd4rDwsVfYffeg5W26LmzSzub515W13Z5R/YCEK+otQjsnSep9nuqYtvJ8J51hOjbztn7d7dWR61GJmqAY1/O1f3RPfXDUJ67T84FZ36Hl14P38auK+LrDjW14rutiZoa+1kaufpzqMZiBVd75c2PcPzE2UrHW93cBM//07ZyCNW1XU043znK3r+N2ueHim0n4vlHlO2sXMneKTpSF7x1hdgY22oJlVfdVi4iTthUW96BXQDcl6j5N73V8hw1SXqUjKxNLnY08fW0k5wa+1kaqTGMWtVWXiInaEbumHsZNeFx1Z7L09g7T9LVCZRICZqRGttZid6r6+wcaqMam6g5orqrfRlO4M5y98m5NDMNirc3dEHmXzDWJueLytrkYkcTX1H27FOLGvtZGqlRHidnz2YAlhM1Eef7VOTquZfuKBItM3unv7h6cZCIi4+q2m/TVu7uOLBXdXs326rGDn06oro6aTKcwJ2hxcnZ2hw1EU88jlBKy96TOht3xzBSa9Wrq2kyR02FYdSqdr6QZcjP2bmX1tqu/EIFoGyhgi1zfGsSe+dJco6aYxw9f7oL56jZQO1ErSbPUdPq5Fz4xzF46fXwaSh38mtpXlNN6JWw9XOnZrFol89RE3C+jytYazs1Fip4Onvfg2pP5ajYdiJOFXG2t0mG86e9Wx1yjpoKqquTJmK1eLVotQWHX1wri18Ysn1ZVizC6uzWVWp1qYtCzWLRagyjVrWHoCzvOVfRqsq7TOydJ+nqBEqkBM2oqukF1XHX1n/OUmMvaoCJml2q68b25BO4VifnkvQUKHo9dKHmJxp7K39rreLkYmcTX2dOciJSs1i0GitHq9pD0FOG3R2lVZV3mdjbM+zqxUEiLj6KGP2gw4/VquPAXrZuGl8dJmp2qK5OmiefwLU6OWes+cziHDV7K39rreJ7xtnE15mTnIjULBatxjBqVXsIilhs2J20qvIuE3vnSbp6cZCIi4+c6W2SpVfX1k3jq8NEzQ7VbWzrySdwrU7OIT2HwMvCRFHZFmxUnFzsbOKrVpe6KNQsFq3GMGpVewiqtX+frLSq8i4Te8vNqLECUsvnd4QzvU2y9Orauml8dbiYwA7VFboUccKmmrSq4G9xjpoERUfLqzi52NHdMYzU6lJ3NVs/d2ouAFBjZwJH92D1JFqs2PUUahZwdoQMbefMZ97Z86eouOpTgjcuVVZy4xq89Hp4VZj/J9sKW0vDcc4kvrL8/rZ+7kRLvKv6+4o438cVeM50H7UXB1VsOxEXHxkK8gBU3XtdFS23/rOVvRd8TNRUOOlUVyetppzA3claHbWavq+qsyc5d9Hiy16N90ZVewjKkiQ7i4ma4+ydJ8k6ap6JddRswDpq8iu6dBZeej286zTSOhSnaD0UohVbP3dqFot29edQlmLDzmKi5ji766jZWW+rOpXqqKn8/GqoCdML7N00nnXUVFBdnTQRJ2zKzrd+E4tfGGrMQ3InNfeyBDzvJJe9fS0AwG+S84maGnvuVrWHoKcnaOQ8e8vNuDqBEilBM8rdtwOA55zDLLE1QasOEzU7VFcnjSdw9RUnX0GpXg99lPncpcz1XwOQp/dSzb0sAc87yalZLFqNeW5V7SEo4nwfEou9F5CuXhwk4uKjyHEztA7B5dTaNJ6Jmh2qq5PGE7j6Mtd/bXGOmr2Vv7Wm9pCnp53k1CwWrcYwatSEx63e5mnFhkl99s6TVKvellbP7wi1eptEptam8ZyjZgfOUXO/oivny+aoST63S829LGVi8xw1FYtFO/s5rG4PQRHn+7gC56g5zt73oNqLgyq2nYiLj9TqbRKZvZvGczGBCied6uqk1ZQTuLtZnKMm2eR8tZN4WU5yWtRRc2Yf2PJ7CAJlW9N4Qn0mRzBRc5zW5WZkaDtP79hwZNN4JmoSvHGpsuJrl+Cl10MfU8fsuGwfcrUXP8jy+9v6uROlWPTCxV9h996DmF4rB8DfW9Tc2aWdaQ9BEef7uALPme6j9uKgim0n4uIje3ubZOLoBR9XfaqgujppNeUE7k6ZG761OEdN7cn5rqb26tSq5lDJSM0EzZlhVFv2EBRxvg+Jxd55kq5eHCTa4iNHeptkovam8UzU7FDdxrY8gasvbMAYeOn1lY7LMuRppGaBXk88yalZLNqZPXdt2UNQrf37yHPZW27G1YuDRFp8VL63KQjA7hO+OHP2gkdNL1B703gmanaork4aT+Dq86ld3+IQjGyT87O2rALg/FClp57kqrsIsoczm6aPGt4fZ85eqLSH4Kjh/U0/izQhm8Rkb7kZV6+AFGmFpdq9TSJSe9N4Jmp2qK5OGk/g6rO26jNr8woA4s/RMlKjCCvguSc5NYtFOzOMGhsThWdnTqtyD0ER5/uQWOxdyOLqxUEiLT5Su7dJRLZc8NmDiZodqquTxhO4+rI2r7A8R83Oyt9aU2v1l6ee5NQsFu3sMGpsTFSVSa9o831IPPbOk1Sr3pZWz28PtXubRGTLBZ89mKjZobpClzyBqy9s4FjLc9Qk2TrKSK29LD31JKdmsWg1h1EtEWm+D4nJ3nmSrl4cJNLiI7V7m0RV3QWfPVieww7V1UmzdwNWso3FOWoqTs53B7XKaRjnqFU8yYk6R02LOmo1ZdN0V2N5DsfZU27GFYuDyrediIuPjDGp0dvkSVhHjScdKRVdOls2R61OI7PjstQRM3KmCGtFMp3kbK6jJlGxaJHm+7gSz5mu56oCy8a2YwFnubCOmgqqq5NWU07g7pS1ZZXFOWpqTc53FzX3slSzS10UaiZort5zV6T5PiQmW+dJunpxkKcuPqpphEnU9uzZg++//x5XrlzBa6+9hiZN/h7SWrVqFbZu3QovLy9MnjwZbdu21STG6uqk8QSuvvDB4y3OUdNqaxZHqbmXpSdSs1i0qzdNF2m+D4nJ1nmSrl4c5KmLj2oaYRK1+vXrY+bMmVi8eLHZ8cuXL2P37t149913kZ6ejpdffhnvvfcevLy83B5jdXXSeAJXn3d0bYtDMGpNzncXZ4qw1gRqFouOGP2g089hjYjzfUg8tpabcfXiIE9dfFTTCJOo1atXz+LxpKQk3HnnnfDx8UFsbCxq166NM2fOoHnz5m6OsOo6aTyBu0bh+ZPw0nvDp8KiAXsrf2vNmSKsNYGaxaJdNc/NU4sNk/psXcji6hWQNWWFpacTJlGzJi0tDc2aNTP9HBkZibS0tCoe4TrW6qTxBO462dvXWp6jZmflb61pvdm46NQsFu2qPXc534dsZes8SbXrbbn7+ck93Jqovfzyy8jIyKh0/N5770WnTs7XHktMTERiYiIAYO7cudB7//3r6XQ6s58dkbd/JwAguO0dZsdXrN5k8QS+YvUmzHhoglOvWdNFjZhise30MTdpFJFj8k//BgAIaNZa40jcy9bPXd5v/wMABLa+3enXzPvfNgBAsArPVV5GZtnK1IrzfTIzs50+t4hIjXNmTZW7t+x7KOiWDtXe96abauGxh+9X9fXLt50rnp/cy62fwn/96192PyYyMhKpqammn9PS0hAZabl3IiEhAQkJCaafy89rUmOpecR9j1Z6XgBISy+r21TxBJ6ensnl7U7ShUZanqMm2eT8rB0/AgB8G7fUOBL3svVzl/3XHDU/NeaojXkIQOXPqbPCwywPqYaFhXjk55zlORwXPmoaAPXfg7Zi28nJS9byHB07dsSCBQswePBgpKen4+rVq2jatKkmsVgrZMsJm65T+McxeOn18GloPhdNtsn5au5l6YnUrPbvqj13Od+HbCVDPUCShzAFb//3v//h008/RVZWFoKCgtCoUSM8//zzAICVK1di27Zt8PLywqRJk9CuXTubnlPtgrfW6qTJVi1eJjeWvW1xjpo9lb9JO1pc2btyz12Zig07i70yjnPVPElbse3kxJ0JVHjjVlUNvyadwN2pNDMNXt7e0AXJ3Tvp6iKsorL1c6dmsWjZdq0QFb/sHaf1e5BtJycmaiq8cZXSssfr9MKPGHsUS21na+VvUWh94taKFnt9cs9ddfDL3nGGgjwArhuGrw7bTk5M1Jx847JOmjYKzvwOL72+0iR82RIfmfayVJOtnzteBImHX/byYtvJiXt9OoF10rSTs2tD2Ry1ComabJPza1qCZg+1L4K45y5pzZXzJKnmcf8+TBIyFrrsGFyEjsFlvXTGQpfkWhEjpyJq9PRKx/XBYTZX/xZB/vEDpgnG9DfjRVDRb78i6NJx7N578K+FOanVP9iKvAO7TPvuEmkhd98O5O7boXUY5CHYo2YDbmyrHX1wmOU5apJNzldzL0tP4opq/9xzl7SmZrkZIiZqNmCdNO0UnDxcNketwqKBnD2bAciTqKm5l6UnUfsiiHNJSQRcyEJqYqJmAxa61E7Ons1lc9QqJGoRox/UKCLHaLX6S3RqXgRxLimJgvMkSU1M1GzAjW21EzH6QegtrASUbXI+JxdbpuZFEDdNJ1EY50gyUSM1MFGzUWxMFE/2GtAHhlico6Z15W97GScWM1Ezp+ZFEOeSkig4T5LUxESNhJZ//AC8vPTwqzAXTbbJ+ZxcbJ1aF0GcS0oi4DxJUhsTNRJa7q9bodPpKiVqsk3O5+Ri1+NcUtIa50mSK3BnAhKaoSAPem9vKN6WKzbLoqZOLnb354577qqH50z7LVz8FXbvPYjptXIA/D0Mf2eXdm6dOsO2kxN3JiApefkHwsvSHDXJJudzcrF7cC4paYnzJMkVmKiR0PJ/T4KXXg+/CnPRZJucz8nFRJ6P8yTJFZiokdBy9+0om6NWIVGTaXI+JxcT1QycJ0muwDlqJDRDcSH0em8oXnqtQ3FI+cnFQFltr9iYyBozuZifO3mx7RwjwjxJtp2crM1RY6JGwrPUdrJMzhdlcrFW+LmTF9tOXmw7OXExAUkp78heeHnp4V9hLposk/M5uZiIiJzBRI2ElndgF3Q6XaVETZbJ+ZxcTEREzmCiRkKLmvA49N7eMJQboJdpcj4nFxMRkTM4R42EZZqUm5mN8LAQU3Ij2+R8ESYXa4WfO3mx7eTFtpMTFxPwjSsVa6sl69WtjQOHjtXYyfmy4edOXmw7ebHt5MTFBCSV71dtRHJKGkbUKku29+X6IjklDQUFZT9zcj4REdUETNRISNZWS0Jn+f6cnE9ERJ7IS+sAiCyxtlqyaVwDxMZEmh3j5HwiIvJU7FEjIVlbLTlh7FAAqLGT84mIqGbhYgISlnG1ZGZmNsL+WvXJhEwu/NzJi20nL7adnGrkqk8iIiIimdWYOWqzZs3SOgRyENtOXmw7ebHt5MW28yw1JlEjIiIikg0TNSIiIiJB1ZhELSEhQesQyEFsO3mx7eTFtpMX286zcDEBERERkaBqTI8aERERkWyYqBEREREJyuN3Jjh06BCWLl0Kg8GAPn36YNiwYVqHRDa6ceMGFi5ciIyMDOh0OiQkJGDgwIFah0U2MhgMmDVrFiIjI1kuQCK5ubn46KOPcOnSJeh0Ojz00ENo3ry51mGRDdatW4etW7dCp9Ohfv36ePjhh+FrpYgqycOjEzWDwYAlS5Zg9uzZiIqKwrPPPouOHTuiXr16WodGNtDr9ZgwYQLi4uKQn5+PWbNm4bbbbmP7SWL9+vWoW7cu8vPztQ6F7LB06VK0bdsWTz31FEpKSlBYWKh1SGSDtLQ0/PTTT5g3bx58fX3x7rvvYvfu3ejZs6fWoZGTPHro88yZM6hduzZq1aoFb29v3HnnnUhKStI6LLJRREQE4uLiAAABAQGoW7cu0tLSqnkUiSA1NRUHDhxAnz59tA6F7JCXl4fjx4+jd+/eAABvb28EBQVpHBXZymAwoKioCKWlpSgqKkJERITWIZEKPLpHLS0tDVFRf+8NGRUVhdOnT2sYETkqOTkZ586dQ9OmTbUOhWywbNkyjB8/nr1pkklOTkZoaCgWLVqECxcuIC4uDpMmTYK/v7/WoVE1IiMjMWTIEDz00EPw9fVFmzZt0KZNG63DIhV4dI8aeYaCggK88847mDRpEgIDA7UOh6qxf/9+hIWFmXpDSR6lpaU4d+4c+vXrhzfffBN+fn5YvXq11mGRDXJycpCUlISFCxfi448/RkFBAXbu3Kl1WKQCj07UIiMjkZqaavo5NTUVkZGRGkZE9iopKcE777yD7t27o3PnzlqHQzY4efIk9u3bh0ceeQTz58/H77//jgULFmgdFtkgKioKUVFRaNasGQCgS5cuOHfunMZRkS1+++03xMbGIjQ0FN7e3ujcuTNOnTqldVikAo8e+mzSpAmuXr2K5ORkREZGYvfu3Xjssce0DotspCgKPvroI9StWxeDBw/WOhyy0X333Yf77rsPAHD06FGsXbuWnztJhIeHIyoqCn/++Sfq1KmD3377jYt3JBEdHY3Tp0+jsLAQvr6++O2339CkSROtwyIVeHSiptfrMWXKFLz66qswGAzo1asX6tevr3VYZKOTJ09i586daNCgAZ5++mkAwNixY9G+fXuNIyPyXFOmTMGCBQtQUlKC2NhYPPzww1qHRDZo1qwZunTpgmeeeQZ6vR6NGjXiVlIegltIEREREQnKo+eoEREREcmMiRoRERGRoJioEREREQmKiRoRERGRoJioEREREQmKiRoRERGRoDy6jhoRkdrS09Px+eef49y5c7h69Sp69OiBRx55ROuwiMhDsUeNiMgOxcXFCAkJwbBhw0xbLRERuQoTNSKicrKysjBt2jR8//33pmMXLlzAuHHjsGfPHsTGxmLKlCno2bMngoODNYyUiGoCJmpEROWEhobi4YcfxsqVK3Hq1CkUFRXhvffeQ9euXXHHHXdoHR4R1TCco0ZEVEHbtm3Rv39/LFiwAK1atUJxcTGmTJmidVhEVAOxR42IyIJx48bB29sbO3bswGOPPQZ/f3+tQyKiGoiJGhGRBSkpKUhNTYVOp8P169e1DoeIaigOfRIRVVBSUoL33nsPHTp0QLNmzbBkyRLcfPPNiI6O1jo0Iqph2KNGRFTBt99+i6ysLEydOhUDBw5E06ZN8cEHH8BgMAAAzp8/j/PnzyM/Px85OTk4f/48Ll++rHHUROSJdIqiKFoHQUQkimPHjuHll1/G7NmzccsttwAAMjIyMHPmTAwaNAjDhw/H6NGjKz0uJiYGCxcudHe4ROThmKgRERERCYpDn0RERESCYqJGREREJCgmakRERESCYqJGREREJCgmakRERESCYqJGRB7lv//9LyZPnoybb74ZQUFBqFOnDhISErBhwwatQ7PZd999h8mTJ6NNmzbw8fGBTqfD+fPntQ6LiDTA8hxE5FFq166N0NBQ3H333WjRogXS0tKwdOlSnDhxAq+88gqef/55rUOsVs+ePfHrr7+iTZs2yMjIwMmTJ3Hu3Dk0atRI69CIyM2YqBGRR9m6dSt69+5tdiwvLw/t2rXDuXPncP36dURERGgUnW0uXryIOnXqwNvbG48++igWLlzIRI2ohuLQJxEJraSkBF27dkVQUBBOnDhhdtvixYuh0+nwwgsvmI5VTNIAIDAwEIMHD0ZxcTFOnjzp8pgrOnjwIPz9/dG3b1+UvzYuLS1Fjx49EBgYiN9//910vEGDBvD25lbMRMREjYgE5+3tja+++gq+vr649957UVhYCAA4evQoHn/8cXTr1g1z5syp9nmMe3HWqlXLpfFa0q5dO7z55ptITEzE3LlzTcdfeukl/Pzzz5g3bx5uvfVWt8dFROJjokZEwmvYsCGWLFmCw4cP46mnnkJ+fj7GjBkDf39/LF++HHq9vsrHHz58GCtXrkT37t3RuHFju167sLAQ+fn5Vm/PyMiw6Xkee+wxDB06FC+88AL27t2L7du349VXX8U999yDBx980K6YiKjmYN86EUlhxIgReOihh7Bw4UIcPHgQR48exQ8//IAGDRpU+biUlBSMGDECAQEB+M9//mPTaxkMBnz++ed4//33cfDgQSiKgsaNG2PAgAHo378/WrdujYKCAvz444945513cO3aNZued+nSpWjTpg3Gjh2L4uJi1K9f3+aYiKhmYqJGRNJ49913sWnTJuzevRtTp07FiBEjqrx/Wloa+vbtiz///BM//vgjmjdvbtPr/Pzzz3jyyScxdepUzJkzB/n5+fjll1+wYcMGfPjhh6b71a1bF//6179sjj8yMhJLly5F3759AQC7du1CeHi4zY8nopqHiRoRSePw4cO4ePEiAOD3339HSUmJ1Un3aWlpSEhIwIkTJ7BmzRqLiwysad68OU6dOoXo6GjTsTFjxgAALl26hPPnzyM8PBy33HILvLzsm0Hy3//+1/TvQ4cOoWvXrnY9nohqFs5RIyIpZGVlYezYsYiOjsarr76KPXv2WF1EYEzSjh07hlWrVqF///52vdZNN91klqSVV79+fXTv3h2tW7d2KEl7//33MXnyZHTv3h0zZ87Eb7/9ZtdzEFHNwh41IpLCtGnTcOHCBWzevBm9e/fGwYMHMXfuXCQkJKBXr16m+6Wnp6Nv3744evQoVq5cibvuukvDqP925coVTJkyBS1btsQHH3yA1NRUtGnTBvfeey/27duHgIAArUMkIgGx4C0RCW/JkiX4xz/+geeeew6vvvoqgLLVlm3btkVxcTGOHDmCqKgoAEDHjh2xf/9+jB07FgMHDqz0XHfeeSfi4uLcGr/BYEDv3r3x66+/4n//+x9at24NAFi1ahVGjBiBadOm4eOPPzbdf+fOndi5cycAYN26dfj111/x1FNPmeazzZ49263xE5GGFCIigR0/flwJDAxU7rzzTqW4uNjstt27dyve3t7KkCFDTMcAVPnf0qVL3fwbKMpLL72kAFAWLVpU6baHH35YAaCsWLHCdGzOnDlV/g5EVHOwR42IiIhIUFxMQERERCQoJmpEREREgmKiRkRERCQoJmpEREREgmKiRkRERCQojy54W1xUZPq33tsbpSUlGkZDjmLbyYttJy+2nbzYdnLy8fW1eFyoRO3GjRtYuHAhMjIyoNPpkJCQgIEDByInJwfz5s1DSkoKYmJi8MQTTyA4OFjrcImIiIhcSqg6aunp6UhPT0dcXBzy8/Mxa9YsPP3009i+fTuCg4MxbNgwrF69Gjk5ORg/fny1z8ceNc/AtpMX205ebDt5se3kZK1HTag5ahEREaatXQICAlC3bl2kpaUhKSkJ8fHxAID4+HgkJSVpGSYRERGRWwiVqJWXnJyMc+fOoWnTpsjMzERERAQAIDw8HJmZmRpHR0REROR6Qs1RMyooKMA777yDSZMmITAw0Ow2nU4HnU5n8XGJiYlITEwEAMydOxd6b2+zx5X/meTBtpMX205ebDt5se08i3AtWVJSgnfeeQfdu3dH586dAQBhYWFIT09HREQE0tPTERoaavGxCQkJSEhIMP1cfoyeY/byYtvJi20nL7advNh2cvKSYY6aoij46KOPULduXQwePNh0vGPHjtixYwcAYMeOHejUqZNWIRIRERG5jVCrPk+cOIEXXngBDRo0MA1vjh07Fs2aNcO8efNw48YNu8pzcNWnZ2DbyYttJy+2nbzYdnKytupTqERNbUzUPAPbTl5sO3mx7eTFtpOTFOU5iIiIiOhvTNTs5DvzBfxy7oLWYRAREVENINyqTy0ZDAa8vmUnlu8/hGvZOfDV69EiNhovDeiDnk3jtA7PaaUGA57/cTM+33cQBSUlSGjeFItGDkF0UJDVx2w8cRr/XLsB51LTERcVibeGDkDfFk3dGDUREVHNxUStnLe27cI3B4/gh8nj0LJWDHIKC/HLuYsI8PHROjRVvLn1Z/z36AnsemwaogIDMfW71Zj81Q9YO/V+i/f/IzUNoz/7BotGDsWoNrdgxZGjGLXsaxx6+lE0ioxwc/REREQ1DxO1cvacv4hBrVqgZa0YAECwnx/639ysysesPHIUr27ejgvpGWgYEY5/9euFYa1bAQA+TzqI1xN3YErnDnj/5z0oNSgY16ENXh3UFz56PQDgYnoGnv7vBuw+fxE6AINatcCbQwYgxN9P9d9vyd59eL5vT8RFRQIAXh/UDy3nzseFtAw0jAyvdP8v9h1C+3o3YVyHNgCA+9q3wSd7kvDFvkP4V79eqsdHRERE5pioldM9rhHe3PozIgIC0LVxA7SrWwdBfpZXYQBlid3Er37A9xPvRULzJth08gzGfP4ttjw0Gbc3rA8AuJCegUsZmTj53BP4MzMbQ/7zBSKDAjCrTzwKiovR/6NlGNOuNZbddw8Kiksw8asVeHLNenwyZrjF15zxw1p8c/A3qzE93bsb/tm7R6XjGfn5uJiRiXb16piONYmORKi/H45cvWYxUTvy5zW0L3d/AGhXtw6O/HnN6usTERGRepiolfNkz66oHRqCbw8ewTvbdyGvqBj9bm6G94YPQv3wsEr3/zzpIIa3boUBLZsDAAa2aoG7b22JZUkHTYmal06HuYP7IcDHB02iIzGzVze8vW0XZvWJx4/HTkGBghcH9AEABPj44MUBfdDj/U/w0ai7ofeqvNbj/XuG4P17htj9u2UXlpUqCfP3Nzse7u+PrIJCi4/JKSxEaIX7hwX449j1ZLtfn4iIiOzHRK0cnU6HcR3amIb6Dlz+E1O/XYWJy1dg6yMPVLr/5Qo9VAAQFxWBQ1eumn6ODQ5CYLnaKA0jwnElMwsAcD4tHRfTMxEz+7VKcVzLzkHdMMtbZTki5K+ewcyCArPjGQUFCLUyzBrs54esCvfPzC9AiJ/6w7JERERUGRO1KrSvVwdTOnfACz9tsXh7vfAwXEjPMDt2Li0d9cr1viXn5CKvqMiUrF1IzzAlYA0iwtEsJgqHn55hc0yPrPgvvjpwxOrtz/Tpjll94isdDw8IQIPwMBy6chVt694EoGyxQFZBIVrfVMvic91WpzZ2nDlnduzQlavo1Uz+FbBEREQyYKJWzvwdv+Dm2Bjc0agBwgL8cTolFV/uO4RujRtYvP+Ejm0x4OPPMK7DafRp1gSbT57B6t+OI/Ghyab7GBQFz/24Ga8P7oerWdl4d/svmNCxLQBgUKvmmLMhEXO37MAjXbsg2M8Xf2ZlI+niZdOChIoWjhyKhSOHOvT7PdClI97a9jPimzRGVFAAnvtxM/q1aGp1Bef4Dm3x7vZf8M3BI7jntlvww5GjOHD5T3w6doRDr09ERET2YaJWTqi/P15L3IFTKTdQWFKKqMAA9L+5GV66q4/F+9/ZuCGW3DsCz6zdiIvpmWgQEYZlY+9B57/mpwFlQ511w0LR/LV5KDUYMLb9bZjZqxsAINDXFxunT8bs9ZvR+s0FyC4swk2hIRjV9lariZoz/tm7OzLy83Hnex+jsLQEfZo1wbL77jHd/tWBw3hkxVqkvzYbQNlig+8m3ot/rt2Aad+uRuOoCHw/aSxLcxAREbkJ9/p0IWN5juPPPu7W1/U03LdOXmw7ebHt5MW2kxP3+iQiIiKSDBM1IiIiIkFx6JOEx7aTF9tOXmw7ebHt5MShTyIiIiLJMFEjIiIiEhQTNSIiIiJBMVEjIiIiEhQTNSIiIiJBMVEjIiIiEhQTNSIiIiJBMVEjIiIiEhQTNSIiIiJBMVEjIiIiEhQTNSIiIiJBMVEjIiIiEhQTNSIiIiJBMVEjIiIiEhQTNSIiIiJBMVEjIiIiEhQTNSIiIiJBMVEjIiIiEhQTNSIiIiJBMVEjIiIiEhQTNSIiIiJBMVEjIiIiEhQTNSIiIiJBMVEjIiIiEhQTNSIiIiJBMVEjIiIiEhQTNSIiIiJBMVEjIiIiEhQTNSIiIiJBMVEjIiIiEhQTNSIiIiJBeWsdQHmLFi3CgQMHEBYWhnfeeQcA8N1332HLli0IDQ0FAIwdOxbt27fXMkwiIiIitxAqUevZsycGDBiAhQsXmh0fNGgQhg4dqlFURERERNoQauizVatWCA4O1joMIiIiIiEI1aNmzcaNG7Fz507ExcXh/vvvt5rMJSYmIjExEQAwd+5c6L3//vV0Op3ZzyQPtp282HbyYtvJi23nWXSKoihaB1FecnIy3njjDdMctYyMDNP8tG+//Rbp6el4+OGHbXqu4qIi07/13t4oLSlRP2ByObadvNh28mLbyYttJycfX1+Lx4Ua+rQkPDwcXl5e8PLyQp8+fXD27FmtQyIiIiJyC+ETtfT0dNO///e//6F+/foaRkNERETkPkINfc6fPx/Hjh1DdnY2wsLCMHr0aBw9ehTnz5+HTqdDTEwMpk2bhoiICJuej0OfnoFtJy+2nbzYdvJi28nJ2tCnUIma2pioeQa2nbzYdvJi28mLbScnaeeoEREREdVUTNSIiIiIBMVEjYiIiEhQTNSIiIiIBMVEjYiIiEhQTNSIiIiIBMVEjYiIiEhQTNSIiIiIBMVEjYiIiEhQTNSIiIiIBMVEjYiIiEhQTNSIiIiIBMVEjYiIiEhQTNSIiIiIBMVEjYiIiEhQTNSIiIiIBMVEjYiIiEhQTNSIiIiIBMVEjYiIiEhQTNSIiIiIBMVEjYiIiEhQTNSIiIiIBMVEjYiIiEhQTNSIiIiIBOXt7BMUFRXh1KlTSElJQVFREUJDQ9G4cWPUrl1bjfiIiIiIaiyHE7UTJ05g/fr12L9/P0pLSxEYGAhfX1/k5OSguLgYtWrVQkJCAvr27YuAgAA1YyYiIiKqEXSKoij2PuiNN97AH3/8gW7duqFjx45o0qQJfH19Tbdfv34dx48fxy+//IILFy7g0UcfxW233aZq4LYoLioy/Vvv7Y3SkhK3x0DOY9vJi20nL7advNh2cvIpl0eV51CitnHjRvTp0wfe3tV3yF26dAnp6elM1MhhbDt5se3kxbaTF9tOTqomarJgouYZ2HbyYtvJi20nL7adnKwlalz1SURERCQolyVq58+fx5gxY1z19EREREQejz1qRERERIJyuDzHSy+9VOXtBQUFjj41EREREcHJOmodOnRAZGSkxduzsrLwxx9/OBwYERERUU3ncKJWr149tGvXDn369LF4+/nz57Fnzx6HAyMiIiKq6Ryeo9a4cWOcO3fO6u3e3t6Ijo529OmJiIiIajyH66gVFxfDYDDAz89P7ZhUwzpqnoFtJy+2nbzYdvJi28nJWh01h4c+fXx8HA6GiIiIiKrndHmOtWvXWjxeVFSETz75xNmnJyIiIqqxHO5RM1q9ejUOHz6MRx99FOHh4QCAc+fOYcGCBc4+NREREVGN5vRen2lpaVi4cCHOnz+PadOm4erVq/juu+/Qs2dPTJo0Cb5WxlzdgXPUPAPbTl5sO3mx7eTFtpOTyzdl//zzz/Hjjz/Cy8sLTzzxBG6//XY1ntYpTNQ8A9tOXmw7ebHt5MW2k5NLN2Xfu3cvtm/fjltuuQUhISH48ccfcePGDTWemoiIiKjGcrpHbdGiRfjll18wbtw4DBw4EFlZWfjwww9x4sQJTJkyBd27d1crVruxR80zsO3kxbaTF9tOXmw7OalensPo7NmzeP3119GgQQMAQGhoKJ555hls2rQJn3zyiaaJGhEREZHMnO5RKy4utlpT7c8//0SdOnVsfq5FixbhwIEDCAsLwzvvvAMAyMnJwbx585CSkoKYmBg88cQTCA4Oti029qh5BLadvNh28mLbyYttJyeXzVGrqvCtPUkaAPTs2RPPPfec2bHVq1ejdevWWLBgAVq3bo3Vq1c7EiYRERGRdBwa+tyxY4dDL9aoUSM0bNjQ6u2tWrVCcnKy2bGkpCS8+OKLAID4+Hi8+OKLGD9+vEOvT0RERCQThxK17du3O/RiPXv2rDJRsyQzMxMREREAgPDwcGRmZjr02kRERESycShRmzNnjtpx2ESn00Gn01m9PTExEYmJiQCAuXPnQu/996+n0+nMfiZ5sO3kxbaTF9tOXmw7zyJ8S4aFhSE9PR0RERFIT09HaGio1fsmJCQgISHB9HP5yZScXCkvtp282HbyYtvJi20nJy9XFry1xGAwqFL0tmPHjqY5cTt27ECnTp2cfk4iIiIiGThcnqOoqAjLli3Dr7/+iuDgYPTv3x8DBw403Z6RkYEHH3wQ3377rc3POX/+fBw7dgzZ2dkICwvD6NGj0alTJ8ybNw83btxgeY4aim0nL7advNh28mLbyUn1grcrVqzAgQMHMGbMGOTl5eGHH37AmTNn8Oijj8LLy7GOuscff9zi8RdeeMHRMImIiIik5fDQ5549e/Dggw+iX79+GDZsGObOnYtz585hwYIFMBgMasZIREREVCM5nKilp6ejbt26pp9jYmIwZ84cXLx4EfPnz0dpaakqARIRERHVVA4nahEREbh27ZrZsfDwcLzwwgu4dOkSPvjgA6eDIyIiIqrJHE7UbrnlFuzatavScWOylpaW5lRgRERERDWdw6s+U1JScOXKFbRt29bi7enp6Th8+DB69uzpRHjO4apPz8C2kxfbTl5sO3mx7eRkbdWnw4maLUpKSuCtYXVkJmqegW0nL7advNh28mLbyclaouZ0wds33ngD2dnZlY5fvnwZzz33nLNPT0RERFRjOZ2o5ebmYubMmTh8+LDp2IYNGzBr1iw0aNDA2acnIiIiqrGcHvo0GAxYuXIlVq5ciYSEBFy/fh2nTp3CAw88gG7duqkVp0M49OkZ2HbyYtvJi20nL7adnFTfmcDIy8sLI0eOhMFgwA8//AAvLy+89NJLaN68ubNPTURERFSjOT30WVxcjE8//RRr1qzBqFGj0KpVK7zxxhtISkpSIz4iIiKiGsvpHrVZs2ahtLQU//73v9GkSRMAwNq1azF//nx0794d06dPdzpIIiIioprI6UStWbNmmDx5Mvz8/EzHhgwZgtatW+P999939umJiIiIaiyX1lErLi6Gj4+Pq56++tfnYgKPwLaTF9tOXmw7ebHt5KRqHbX8/HzbXvSvJM3W+xMRERHR3xxK1B577DH88MMPSE1NtXofg8GAgwcP4uWXX8bGjRsdDpCIiIiopnJo6PPq1av4+uuvkZSUhAYNGqBJkyaIiIiAj48PcnNzcfnyZZw+fRq+vr4YPnw4+vTpAy8vpxeY2o1Dn56BbScvtp282HbyYtvJySV7fd64cQN79uzB8ePHcePGDRQVFSEkJASNGzdGmzZt0K5dO00SNCMmap6BbScvtp282HbyYtvJSZNN2bXGRM0zsO3kxbaTF9tOXmw7OblsU3YiIiIicg2H6qgtWrTI5vs+/PDDjrwEERERUY3nUKKWlZVl9vPx48fh5eWFBg0aAAAuXrwIRVHQsmVL5yMkIiIiqqEcStRmzZpl+veqVavg6+uLhx9+GP7+/gCAgoICfPTRR6bEjYiIiIjs5/QctZ9++gmjR482JWkA4O/vj3vuuQc//fSTs09PREREVGM5nagVFBQgLS2t0vH09HQUlVt1SURERET2cXpT9s6dO+PDDz/E+PHj0axZMwDA6dOnsXz5ctx+++1OB0hERERUUzldR62oqAiff/45tm3bhpK/6rbo9Xr07t0bEyZMgJ+fnyqBOkL2OmrJKan4ftVGpGdkISI8FKOG90dsTJTWYbmdjG1HZdh28mLbyYttJyeXF7wtKCjA9evXAQC1atUym7OmFZkTteSUVLz+9mIkp/w9rBwbE4lnZ06rccmabG1Hf2PbyYttJy+2nZxcXvC2qKgIRUVFqFOnjhBJmuy+X7XRLEkDgOSUNHy/ihvcExER1RROz1HLz8/Hhx9+iF9//RUAsGDBAtSqVQuLFy9GeHg4Ro8e7XSQNVF6Rlmtuum1cgAAH10PBgBkZGRZfQwRERF5Fqd71JYvX4709HS88cYb8C3XbdehQwckJSU5+/Q1VkR4KABgX44v9uX8/XcN/+s4EREReT6nE7V9+/Zh4sSJaNSoEXQ6nel43bp1TXPWyH5lCwcisS/XF/tyyxK12JhIjBreX+PIiIiIyF2cHvrMzc1FSEhIpeMFBQXw8uKe746KjYnCszOnYcXKn5CRkY2wiLAau+qTiIiopnI6UWvSpAn27duHQYMGAYCpV23z5s1o0aKFs09fo8XGRGG03zWgFhA96SGtwyEiIiI3czpRGzt2LF599VVcunQJpaWlWLduHS5duoQzZ87gpZdeUiPGGi2wfTetQyAiIiKNqFJH7eLFi/jvf/+Lc+fOwWAwoHHjxhg2bJjmm7LLXEeN/sa2kxfbTl5sO3mx7eTkkoK3JSUleP/99zF27FjUrl3b4eBcxRMSNUNxIQDAy0e7HR60JmvbEdtOZmw7ebHt5OSSgrfe3t44cuSI2WpPUlfa8veRtvx9rcMgIiIiDTi9LPP22283Fbsl9QV1jEdQx3itwyAiIiINOL2YIDo6GitXrsSJEycQFxdXafuowYMHO/sSNVrArZ20DoGIiIg04nSitn37dgQFBeHChQu4cOGC2W06nY6JmpMMBXkAAC//QI0jISIiIndTZdWnqDxhMcGNZW8DAKInzdQ4Eu3I2nbEtpMZ205ebDs5WVtM4HSPWnkFBQUAUGn4kxwX1Lm31iGQmySnpOL7VRuRnpGFiPBQ7kRBRETqJGo//vgj1q1bh7S0NABAZGQkBg0ahEGDBnFFqJMCWrbXOgRyg+SUVLz+9mIkp6SZjp05ewHPzpzGZI2InMYLQXk5nah9+eWXSExMxNChQ9G8eXMAwKlTp/DDDz8gIyMD48ePdzrImqw0LxsAoA+svJ8qeY7vV200S9IAIDklDd+v2ohHpt2nUVRE5Al4ISg3p8tzbNmyBdOnT8eIESNw66234tZbb8WIESPw4IMPYuvWrWrEWKOlf/cx0r/7WOswyMXSM7IAANNr5WB6rRzT8Yy/jhMROaqqC0ESnypDn5a2imrQoAHUXKfwyCOPwN/fH15eXtDr9Zg7d65qzy2y4Dv6ah0CuUFEeCgAYF+O+WTS8L+OExE5qvyFIAB8dD0YAC8EZeF0ohYfH4+NGzdi8uTJZsc3bdqE7t27O/v0ZubMmYPQ0Jr1xeXfoo3WIZAbjBreH2fOXsC+cle9sTGRGDW8v4ZREZEn4IXg32Scq+d0olZcXIxdu3bh8OHDaNasGQDgzJkzSEtLQ/fu3fHpp5+a7jtlyhRnX67GKc3JBADog8M0joRcKTYmCs/OnIYVK39CRkY2wiLCpDiBEJH4eCFYRta5ek4nan/++Sfi4uIAADdu3AAAhIeHIzw8HFeuXHH26c28+uqrAIC+ffsiISGh0u2JiYlITEwEAMydOxd6779/PZ1OZ/azLFJ/+A8AIPaBZzSORDuytp29brqpFsb4XwdqA7EPzNA6HFXUlLbzRGw7eVVsu5tuqoXnn3kI36/40XQhOPqeu1ArNlrDKN1vxepNFufqrVi9CTMemqBRVNVz+lM4Z84cNeKo1ssvv4zIyEhkZmbilVdeQZ06ddCqVSuz+yQkJJglcOUL/slaADCoa9kVj4yxq0XWtnNEQLuuADynvWtS23katp28LLVddGQ4RvleBWKB6EnTAXjOecZWaellI1QV5+qlp2cK8bfwckfBW1eKjIwEAISFhaFTp044c+ZMpUTNE/k3vVXrEMiNAm/ronUIROShAtt30zoETck6V8/p8hzuUFBQgPz8fNO/jxw5YnGlqScqzUxDaWZa9Xckj2AoLoShuFDrMIjIAwXe1qVGXwyWzfuNxL5cX+zLLUvWZJirJ8Ven9evX8fbb5fteVlaWopu3bphxIgR1T6Oe32qS6vVMrK2nSNEam811KS28zRsO3lZazvjRaCXj5+7QxJGckqqsIu2rO31KUWi5ihPSNQK/zgGAPCL03aY19JqmdiYSLeslpG17RyR/3sSACDg1k4aR6KOmtR2noZtJy9rbedpF4KOEvXv4JZN2Ul9WidoRtziyD08JUED/rpyXb0JaemZ0tQrIvJkQR3jtQ5BCLLN1VM1UXvqqafw7LPPIjq6Zi35daWS9BQAgHdEjKZxsLK1exgK8gAAXv6BGkfiHFnrFRF5Mk+6EHSGbPP0VE3UUlJSUFpaquZT1ngZaz4DoH0XrayrZSwRuTJ12jeLAGjf3s5iDyyReDzlQtBZss3V49Cn4EJ6DtE6BACeU9la9J6eoM69tQ5BFeyBJRKPp1wIOitt+fsA5Pk7qJqotWzZEr5WJsORY/watdA6BACes8WR6D09AS3bax2CKjypB5bIU3jKhaCzZJurp2qi9uyzz6r5dASg5MY1AIB3dG2NIylL1kb7XQNqAdGTHtI6HIeI3tNTmpcNANAHhmgciXM8pQeWyJN4yoWgs2Sbq8ehT8FlrPsSgDhdtLKtlqlI9J6e9O8+BiBOezvK2AP7w6oNSE/PkrYHlsiTeMqFoLNkm6vHRE1woX2Gax2CGdlWy1Qkek9P8B19tQ5BNcYeWKWWIm0PrNZEXvhC8vGUC0FnyTZXjwVvyS5arJZRu+1ErkztaQp+T4LBUCp9gq8FLYtMAzxnysxa2xWcPAwA8G/Rxt0hCSX/+AEA4g0Fc2cCSU86xclXAAA+sXU1jqSMFhWdXdF2olamLs3JBADog8M0jkQdsn7uRLBw8VfYvfdgpeN3dmnnloUvbDt5se3kxJ0JJJW5/msA4iQUsq2WsUbUuXbpKz4BIE57O8tQVAhDaYk09YpEIvrCF5KPp10IOkq2uXpOJWonTpxAUlISgoKC0KNHD7MdCXJycvDOO+9gzpw5TgdZk4X2Hal1CGZkWy1jjahDccHdBmgdgqpufDEfiqJ4TOLpTqIvfCH5eNqFoKNkm6vncKK2b98+vP3224iLi0N+fj7WrFmD//u//0P79mVjviUlJTh27JhqgdZUvnUbaR2CGdlWy1gjamVq/6a3ah2CqoJv7wUDdytxiFoLX7gggYw87ULQUbIt2nI4UVu1ahVGjhyJkSPLenw2bNiAefPmYcaMGbj99ttVC7CmK752CQDgU7u+xpGUkW21jDWiVqYuzSz7UtaHRWociToCW9/OuTIOUqPItOg7cZB7edqFoKNkW0zh5egDL1++jO7du5t+HjBgAB555BG8//772Lt3ryrBEZC54VtkbvhW6zBMgjr39ojq1kEd44Wcb5e+6lOkr/pU6zBUYyjIM/XCkv2MJU6m1crFI9Puszu5qmonDqp5SjPTTBeDNVlpTqZpvp4MHO5R8/HxQU5ODmrVqmU61qVL2byfhQsX4r77tN+OxxOEDRijdQhmRFvO7ChR59qF9BiodQiqurH8fc5Rc5IzC1+4IIHKM14E1vTPo2xz9RxO1Bo3bozff/8dTZo0MTvepUsXGAwGvP/++04HR+IMeRrJtlrGGlHn2vnFtdI6BKdUmg/V9naEhARpHZbUnFn4wgUJVJ6nXQg6Sra5eg4nan379rW6WODOO++EoihITEx0ODAqU3TlPABxFhXItlrGGlHn2pWkpwAAvCNiNI7EfpbmQ5394yJmPTUVARrGJTtnFr6IvhMHuZfsF4JqkW2uHgveCk60wqxaVLZ2RduJWplatPa2h6UCrYFeBtzesTWmTp+kTVAewNn3hK07cVTsDR0zciCiI8OdCZ00Yu2cKfOFoJpEXbTlsoK3e/fuNc1Nq2j16tUYNmyYsy9Ro4UNHKt1CGZkWy1jjWgJmlFIzyFah+AwS/Oh7o/JQ2DKES3Dkp6zi16MCxJQC1b3XK2qN5SrQz1HxprPAMh5Iagm2ebqOZ2ovf/++zh06BAmT54MP7+yrvnU1FR88MEHuHz5MhM1J4mydZSRp1S2FnWunV+jFlqH4DBL86F2ZPmh5U2N0EGroDyAGgtfqluQYGl16PXksh42d2xXRe4h84WgmmSbq+dweQ6j1157DadPn8Y///lPnD17Frt378bMmTPh4+ODt956S40Ya7SiS2dRdOms1mGYpK/4xLRiRmbp331smm8nkpIb11By45rWYTikbEgtEvtyfbEvtyxZSwupje5jx2kcmdzUKHESeFuXKhcllO8NNfaIAlwd6mn8GrWQ+mJQLX5xraSar+d0j1rDhg3x+uuv4z//+Q9mz54NAJgwYQIGDpQrYxVV1pZVAMTpopVttYw1olamzlj3JQBx2tselgq0jr6rOyIDuKWwM9RY+FLdggSuDq0ZjBeB3tG1NY5EW7LN1VPlDHrhwgUcP34ctWvXxo0bN3DmzBnk5+cjIIBrvZwVPni81iGYkW21jDWizrUL7TNc6xCcUnE+VOpn7yCdddScokaB6ep24rC0OrRWbBRXh3oYmS8E1STbXD2nV32uWLECK1euRP/+/TFu3DgkJydjwYIFyM7OxqOPPoqWLVuqFavdPGHVp2i0WC3jirbzlLl2Iso7UrYzSeBtXVB07jgMpaUek+DLKv/3JABVz3eruDqUqz7lZe2caZxG41u/SaXbapLC8ycBiDcn2NqqT6cTtQcffBAPP/ww2rT5u4eitLQU33zzDX788Ud89dVXzjy9UzwhURPtDaVF+QhXtJ2oZTCKk68AEG8RiaNk/dyJxJ0LX8p/Lth28mLbycll5TneeusthIaaz2PQ6/UYN24c2rVr5+zT13jZ29cCAPwmiZGoybZaxhpR59plrv8agHgJpD3Kz4cqyUyDoaREuHpFMlGjyLStO3E4s10Vic/TLgQdJdtcPRa8FZxskx5dQda2c4RoO1E4onyvTOpn73CvTyepUWTakR7kmvS5M6q0BZqV4sCis9Z2oo4kuJuofweXDX2KzBMSNdFokTi6ZI6aoJWpPUH5+VDFF07CUFoq1VJ4T2TrThzle0Nr2jnTUtHf2JhIPDtzmnTJmtU5ah5wIagGUefqMVGT9KRT+EfZfqqifNFxjlrVnL0iL752CQDgU7u+qnFpRdbPnUjcufClJs9Rs7QFGgDc2aWddEV/a1rbqUXrHlWXzVEj18reuR6AOImap1S2dsVcO0tX5GfOXrDrijxzw7cAxOuSt0f5+VAlackoLS2t0UP3zjIWmHbmPWHrggRnt6uSmaUt0ADPKvrraReCjrI0V0+N87erMFETXMTwKVqHYEaU1afOckXia2kbnuSUNLu24QkbMEb1uNytfIHWtFVLOUfNSWosfLF1QYIa21XJqiYU/fWEC0E1WFq0pcb521WYqAlOtDlUsq2WscYVc+3UuCL3hCvd8gVaQ3sPg6GUQzDOUKMGna07cdi6OtQTWSr6GxsT6VFFfz3hQlANoX1HVjomco8qEzXBFZz5HYA4OwJ4SmVrV1SmVuOK3BMm+5afsO7fuAXnyjhJjYUvtq4YVWO7KllZ2gJN1lWf1njChaAaLJ1fRe5RZaImuJxdGwBUn6i5axKk7FscGblirp0aV+RZm1cAkPuLsjQvGzdupGPFhl0wpKcgNCQId40a7lFfeO6UvupTAE7OUbNxQYIa21XJrOIWaJ7GEy4E1WBprp7IPapc9Sk4W06wnrSs3BKZ2q7iNjx2r/r0gIKUf37yOi5euor3L/uZhhFWGhp4zPvR3dRY+c06arYrvwWao7RePcg6alWz9ndw9vztLK76lJQtS/LdOQnSExIJwHVz7Zy9Ipf97woAe/KDcDzVCwDwU4Y/ACC5UIxJuTJSY+GLrQsS3LldlaicSdAAsVcPhg0cq+nri8LaXD1Re1SZqAnOlqrk7pwE6QlbHAGunWvnzDY8ohZitMfxAl8cz/ex6/2odQ+EyNRY+GLrHFc1tquSXfmiv44QefWgJ1wIqqGquXoibqPGRE1wOXs2A6g6UXPnJEhLq2WsEfnL15Vz7Zy5Is/asgqA3F+UtUP8cNnLgH05vgjTG1DLpxTXi/VW348i90CIQI2FL7YuSLB1dagnS1v+PgDH/94irx70hAtBNVQ1V8/ZHlVXYKImuIjRD1Z7H3dOgrR1EqqIX74WE0cXvI4zV+Thg8erHY7bDfS+hlvrFJvmqDULKMFKQwOr70eReyBEoMbCF1sXJDizn6incLbor8irB0W6ENTyQr6qRVvO9qi6AhM1wdkyVyQ2JgpTJ4/GJ0u+QV5ePvwDAzF18miXvOltrWwt2pdvxcSxlk8pPvnjNKY+9ajqfydnrshlr08HAJG9hsArMwtd9/2B4+nXERQchGfHjLL6dxa5B0IEahSZtnUnDnduVyUqZ4v+irx6UJQLQa0v5Kuaq+dsj6orMFGzgZaZvy2bKSenpOKTpd9hhPdlIBT46HohPln6nUve9LZWthbty7di4jg8Mh9AvksSR2euyAvPnwQg9w4Q/k1vRW0Ao3/bDd1NOkRNnF7l/UXugRCBGgtfbF2QoMZ2VbJztuivyPXYRLkQ1PpCvqq5eiJuo1ZjEzVbky+tM//cX7cCqDpRM77p/xf09xedq970tla2Fu3Lt2LiuC69bDViaIT6iaMzV+TZ29cCAPwmyZuoGedDBbbvBkNWBoqvXaqyB1bkHggRqLHwxdYFCWpsVyU7NYr+irp6UJQLQVsv5F3VSVLVXD0Rt1GrkYmaPcmX1pl/5L0PV3sf45v+9uCyunEHcsuSI1f0Xtla2Vq0L9+KiePlorK3/p0uSByduSIPv3ui2uG4Xfn5UKmfvYOCM79X+aUncg+ECNRY+GLrggRRdkDRklpFf0VcPSjKhaAtF/Ku7CSpaq6eiNuo1chEzZ7kS+shPFveLMY3/cFcH7Pjrui9srWytWhfvhUTxzo+pYiMCHVJ4ujMFbmae49qxTgfylBciNC+9wBe+mofI2oPhAjUWKFn64IENbarkl1Voxf2EHH1oCgXgrZcyLuyk6SquXoibqMmTaJ26NAhLF26FAaDAX369MGwYcMcfi57ki+th/Dyf08CUHV3rPFN387rIgDg1xw/l/Ve2bPFkUhfvhUTx0GGPxAT7eeSxNGZK3I1qtBrzRj7jWVvQ6fTIWriUzY9TsQeCBGoUWTa1qEuNbarkp1aRX+FXD0oyIWgLRfyruwkqWqunojbqEmRqBkMBixZsgSzZ89GVFQUnn32WXTs2BH16tVz6PnsSb60HsLL3bcDQNWJmvFNv2f558jLzcOdjRu7rPfK3srWIn35lk8cwwY85rLXceaKPHvnegByJ2rG+VBBHeNhyExF0ZXzNpV1EbEHQgRqFJm2dUGCratDPZlaRX9FXD0o0oVgdRfyruwkqWqunlo9qmqSYq/PU6dO4fvvv8fzzz8PAFi1qmx8efjwquduWNvr09LYt4+PNxrUvwm+Pj6VnqeouBipKWkoKSmBl7cPYmIiLN7PFfSKAQBQqvOq9r53FZ4GAPzk18ylMbmdTgeo9DZtUlrW5mf1rhva8VPK3meFOvuvg4KUsvdsrs7ynm8yKP8+vKvoNKDY9p60571ek0QbcgEAN7yCHH4Oh84NKn7uZFK/tKxEySW9cyVKGpemAwDO6SOcjsluVtpOtO+Iqs7HRcXFuHjpKoqL/96ztKrvaXtU9Xdw5vxtScP6dTDhvrttuq+1vT6lSNT27t2LQ4cOYfr0smX+O3fuxOnTp/HAAw+Y3S8xMRGJiYkAgLlz58JgMJhu0+l0KP+rXk++gblvL0ZmVja8vb0RGx0JH9+qG/+uwlMAgJ/8mqvye1H1rP3N1W4LV7dtndKy7vo/9eZXg468rsjvw+KiYiTfKLuo8fb2RmxMJHxsOKmqkYwYhRoKAABZXv5OP5cl1tpSRHrFgP6Fp6HodHa/X3QAqvpyEPl9KBu1/5bVtZ0IbPmdK51PKnxP2/t3a1xSlhie83bPHMw6pVmoFRuNoQ9Os+n+Xl6WL1KlGPq0VUJCAhISEkw/G3vQAPMeNQCIjgzH26/9067nNw4fdLAyfCBSt7Kr2LL3qKqvd+Z3eOn16NC4ZaXjANBBpVVqSmnZe6OD3r0fCeM8lg52zGNRSktQcPYobvHSC7VKz9hT3bw0DdAB+7J8EeDvh1lPTXXrIpIby94GAERPqrp+W1WqmhuqxvO7k6Pv7YrnzIqMCw/+v737Dm+q+v8A/k7StKUtHSlt2WAZAjJrkTKUVYEvKktAEJAho4A4vqKCgoI4QEAERBFFEUVlCPiVn8oeQkVBQFRAhmwo6Ui6d/L7oyQ0adIm6U1zb+779Tw8T3N7c3PaT3P55JzzOedeGRce2OPs/qym8+8VaA6ZdexM90sx3S9McwHvrcRcQNMCzfc6uEBzVb93S14vrdz3UWlKOz1qkkjUNBoNUlNTzY9TU1Oh0VT9zaGi+R3eML+oIo7sPSok/8Ytbf6HIeQNpyoWNLZ343Z2orGprXG3jsLHR4Va42eIZhkLU5XWoKiS4duj2b64pU11qErL0R0vHCHEchblzQ0NGziu0tevKkkHd+G3oydxsiBA8L9tOVeGVsTZ/VndPck/6+BPAMSVqFW2WANwfgcNzYhplX5NZwh1r5BEotaoUSPcvHkTWq0WGo0GiYmJePpp900Gt6eixQKldAN3lSN7jwqpOD0NRh8fKAKDyxwHKv+fhakXqH5OEgIBJJ7xdcuCxvZu3DknDwNwbCJ96bb+pjDijxwFqi1aJZrNy01VWqbqLBNHqrQc3fHCEUIsZ1HeDV0qCYo2ORWXdvwP9Q35uJDuL/jfthh7acTC2f1Z3T0aEzZ4gluuWxmO7LpTEWdHeKq6Aleoe4UkZu2qVCqMGzcOb775Jp577jl07NgR9epV/pO3szL3fW9eMNAWVYhGMjdxV6kCqgvySchRui2fIu32tjbWx01LCVSGqRcoNqgAsbcXDDat1SOk6t0esXnzzjl2EDnHDjrd1paBhcg0KN3SVleF2anGcqRKK6TPYw7velGRQu1185IWrlKq/eze1PPO/2VOUsRs45btWHHNF5nFSrf8bWcd/MncU0OW/Bre7dTq/5kHfjCPyLiDKihEdPu3Zv+6x7zzjquyftlpHuVxRM7Jw+YPx1VBqHuFJHrUACAmJgYxMZ4tm61osUA5fMIU4lOQM6o/0BdKVdkFU4VaRqAyvUDOsHfTDh/1rMPXKN3W5tUK0bxaIU7nqkWzeblpKZvS1dRRkeEOLWUjxJCniRDLWZTX0ynGYSRbtNpUGKBw29+2GHtpxMLZ/VndPRpT1XOLHeHIrjsVcXaEx/ShuKqWAhLqXiGZRE0MKppHIJUbeGU4sveokPyiW9icoybUEEFleoGcYevG7ezcuNJt7RpcUoRwOlctms3LTev5bdyyHXp9BkJDg/HY4L6ooQmt8LmO7njhiOAHB1f6GuXd0KWQoGiTU3H1ehJiA+/MFzQR6u9FbD00YuLs/qzuHomp6rnFjhBiiyZnR3ec+WAsBKHuFZJYnsNV9tZRc1VF8whMFSjefAOr6n3QinTJUKlUUARryhwHKj8J19aaepERGsHnfd2pNppu8br1c0oSuKPZvhW+bum2BihLlp4JCq8hmjlqtjj6vrP+/XiaqVJSUcVVwEJZseorJB4+XmZVdz8/X8x//b8O/b1UFDsx9tKIRXmbftsi9GiMdeyE2m1BSI7sulPhNZwY4amKorHKsreOmjTvQh5SUVWnNydoJlW9Ua3+u89tbkPkbFWVPbZ6gdzxBrauRLRVIVnRPnZV1VZPcHbHi/JUtoK0ohu6FBIUe0P69epECfb3IsZeGrFwtqDF3aMxYkrQTBzZdafCazg4wlNVRWPWhLpXMFFzQkXzCKRwA68sIT4FOaN6t0egtNGr4WxVVXkiI8IrvclvRaxv3K7OjTO11fxJ0guSNKBy+1haq0wFqSM3dCkkKPaG9CMjawj3GlVcAS4lzu7P6u7h9KqeW+wIIZbKcHSemysfjIUg1L2CiZoTKppHIIUbeGUJ8SnIGX4N77Y9R82JiioxsL5xV3ZuXFXPFXQ3Z4eKylOZ6lFHbuhSSFBsFXYIvUexGHtpxMLZghZ3j8aI8X4hxFIZjo7wVFXRmDWh7hVM1JxQ0TwCKdzAK6uqFwwsSkmCQaWC0moumrNVVZ5mfeOu7H+kQlRMiUnG7pL9e4WYo1aZClJHbuhSSFCqYphcjL00YuFsQYu7R2PEeL9wZg1Jexwd4amqojFrQt0rmKg5oaJ5BFK4gVdWVS8YqN/2pe05ak5WVXma9Y27sv+RVvVcQXcLfXikYNeqTAWpIzd0qSQo7h7SF2MvjVg4+7fn7tEYMd4vhFgqw9ERnqroYbZFqHsFqz6dUFFVp1Ru4JUhxKcgZxRcvQClSgWf2g3LHAeEGSqToqqeK+gqId53zqpMBakjVcBiq1B1l4piV9UV4FLibEGL0FWZ1rET4/1CiMpq017JjnQgmIqEqrIQy9l7hb2qTyZqApLDDdwTP6Mn/rMXmpB7WQLS+VtzNHYVbc/mDGcnclur6IYulwTFG953nuLp96d17DzdHmtSWCpDCM7eK5ioCXDTqWgegRxu4FW9vlSh9jqUKhVU4TXLHAeErRZ0J6FvlM58kvQkqa6jRhXHToy9NGLh7AczoUdjrGMnpvuFK2tI2lPVIzzuxnXUBFDRPAJvTtAAz3wKSv/ha5tz1ITYJqgqCbWPpYkYbrhCqmh7Nme4e1icCUqJqq4AlxJne87dPd9PTPcLIZfKqOotoZwl1L2CiZoTKqrq9OYbuKcWDAx+cLDNvT6F2CaoKgm5lyXgfZ8kK7vDRGlCVpDawgSlRFVXgEuJswUt7q7KFNP9QsilMqp6SyhnCXWvYKLmhIomenrzDdxTCwb61mlocwhGiD0hq5KQe1kC4v8k6ayKtmdzhpAVpLYwQSkhpl4ascnYuQmA4x8W3D0aI6b7hVBLZUhhnptQ9womak6oaB6BN9/APbVgYGHSVRSrVFBF1C5zHBC+p8pdnL1xV0TsnySdVdH2bM5w99p6TFBKiKmXRmyc3RLN3aMxYrpfCLFUhqdGeJwl1L2CiZoTKppH4M03cE8tGJj+03rbc9QqsU2QJwi5l6UUPkk6q6Lt2ZwhZAWpLUxQSoipl0ZsnC1ycudojNjuF0IsxuypER5nCXWvYKLmhIrmEXjzDdxTCwaG9HnM5hw1oSfnu5tQ1alS+STprIq2Z3NG5r7vAQB+Y9yUqDFBASCuXhqxcbagxV2jMWK9X1R2MWZPjfA4S6h7BRM1J1Q0j8Cbb+BVsSWNLeqa9WzOUZPKkKeJUJWIUvkk6ayKtmdzhpAVpLYwQRFfL43YOFvQ4q7RGG+9X3hqhMdZQt0rmKg5oaJ5BN5+A3f3ljS2FFy/VLIzgVViJvTkfHcTqhJRKp8knVXR9mzOELKC1BoTFPH20oiJswUt7hqN8db7hadGeJwh5L2CiZoTyptHwBu4e2Ts3GRzjprQk/PdTahKRKl8knRW2OAJgl1LyArS0piglPDWXhohOVvQ4q7RGG+9X3hqhMdRQt8rmKg5wd48At7A3Sek73Dbc9QEnJxfFYSqRJTCJ0lX2Ns/1xVCVpCWxgSlhLf20gjJ2YIWd43GeOv9AvDMCI+jhL5XMFFzgr15BLyBu486so7tOWoS2TrKRKhKRLF/knRVRduzOUPICtLSmKCU8NZeGiE5U9DiztEYb71fiJ3Q9womak6wN4+AN3D3Kbh6oWSOWu2GZY4D7tsmSGhCViKK+ZOkqyrans0ZQlaQlsYEpYQ399IIxdGClqoYjfHG+4XYCX2vUFamMXKTc+ygeS5BabyBu0/G7i1I3/mtzeOmCfpSENp/tNurEaUsbOikCrdoc1Te+b/MVaRCKumJsEwC5ZigmHppOsW1Q4tmjdAprh2neVjxCYtwqKjFNBoTG1SA2KCSERnTaAxJl9D3CoXRaDQK0TAxKiwoMH9ta/jMWcbikucrVJYdkaZPRdafMHnzqryilCQoVSoorW56RSlJANy/Cj1VjhDvO2elrFkEwD2FJqZhKjkMI3kidt7C0YKWN95ZidNnLpQ53qJZI7zyYoLLr8/YeZ4r9wq1r6/N40zUHFTRPAI53cCrmjfcdNxViSh2jsauou3ZnFGclV7y2gIWKMiRN7zvPMXRDwsrVn2FxMPHyxzvFNeuUsOVjJ002UvUOEfNAY7MI+A8APfIv/QPlCofqK3morl7myChuasS0VtUtD2bM5igkac5WtDC+X7kCPaoOcD0qSchKgvAnaKByn7qoYqlrFlkcx01dw5vuUNxesmN2F0T3cXK0fedIS8HQMW7fzhCyApSOWOvTNVwx2gMYydN7FGrBFZ1ek5o/9FQ2VhHTWoT8+WWoDlLiATNRMgKUiJXOLMlGkdjqCJM1BzAqk7P8QmLsPnp0J3bBLmDkHtZeqOKtmdzhlDVo0SuEnJLNCImag7gPALPyf/3FJQqFdQN7i5zHJDOnC/euMtX3vZszlIFVK/0NYgqQ8gt0Yg4R81BrOr0DK+ZoybTSkSH56gV5gOwv/uHM4SsIJUzznOSLsZOmrg8B/9wJak4PQ1KHx8oAoPLHAc490vsvG0dNTnhPdN1ni5oYeykicUEJEmqEI3Nm47UEjRP37jFzt72bK7QDJtS6WsQVQYLWkhITNRI1PLO/wWlSgXfu5qXOQ5IZ84Xb9zlM23NJkSiJmQFKZErWNBCQmKiRqKWdfCnkjlqVoma1Cbn88ZdvvBRzwp2LSErSIlcwYIWEhITNRK1sMEToFKV/TOVWlUVb9z2VbQ9m7OErCAlcgULWkhITNRI1FRBIbbnqEmsepI3btsc2Z7NWZoR04RtJJGThNwSjUjp6QYQlSfvnz+Qe+aEzeOmCfpSkP3rHvPNm+7YuGU7tMlpiA0qQGxQSZW2NjkNG7dsd/maSrWfIMt8ELlKM2wKi1pIMOxRI1HL+mVnyRw1q7loUpucz5u2be7Ynk3IClIiV7CghYTERI1ELWzoJNtz1CQ2OZ83btvcsT2bkBWkRK5gQQsJiYkaiZoqoLrtOWoSm5zPG7dt7tieTcgKUiJXsKCFhMSdCUjUck8fg1Kpgp/VEKfUJufLdbV8R953Qm7PJnQFqZzxnuk6IbdEcwVjJ03cQop/uJLkLXt9evrG7SlV+b4rXUEKAEezfREZoalUBamc8Z4pXYydNDFR4x+uJBnycqDy8YHRx7fMcYBzv8SuKt93K1Z9hcTDx5EQlQXgToFCp7h2mDrx8SppgzfhPdN1ni5oYeykiXt9kiQp/QOgtHHTkVqC5ukbtxy4o4KUyBUsaCEhMVEjUcv96wiUKhX8rOaiSW1yPm/c7ueOClIiV7CghYQk+kRtw4YN2L17N4KDS262w4cPR0yMNCaQU+VlH90PhUJRJlGTWlUVb9zu544KUiJnsaCFhCb6OWobNmyAv78/+vXr5/RzOUdN+gyF+VCpfGBUqsocB6QxOV/ON+6qft8JWUEqd7xnOk8sBS2MnTRxjhpJklLtZ3uOmgQSNMA9e1mSfZER4SwcII8xbYk2KKqkk+Botq95SzT+XZKrJJGobd++HQcOHEB0dDSeeOIJBAUF2Txv165d2LVrFwBg/vz5UPnc+fEUCoXFY5KG7BO/QKEAAtp0LHMcAALbdrT1NNHYtHWHzRv3pq07MG3yKA+3zv34vpMuxs55+vRMAGULWtLTM6v0d8nYeRdRRHLevHnQ6/Vljg8bNgy9evXC4MGDAQDr16/H2rVrMWWK7X0T4+PjER8fb35cuheGXcHSlGWao3ZP+zLHAcBf5HPU0nTpAMreuHW6dFn8PfJ9J12MnfNCQ2zvmBISUr1Kf5eMnTQpxTz0OXv2bIfO69mzJxYsWODm1pCYhI96FiofHxiMZY9LASsRieSDBS3kDqJI1Mqj0+kQFhYGAPjtt99Qr149D7eIqop5Ynh6JkJDqpsnhktpcj5v3ETyERkRjpnTJ7KghQQl+qrP5cuX49KlS1AoFIiIiMDEiRPNiVtFWPUpXfaqpyaMHYqPP9vg8aoqZ8i5EpHvO+li7KSLsZMmbiHFP1xJsbcdUI3wMKSk6rhNkETwfSddjJ10MXbSxOU5SFLsbQeUk5Nr8zi3CSIiIm+k9HQDiGyxNwk/IKCazeOcnE9ERN6IiRqJUsk8Lo3FscgIDSY9+ZjN45ycT0RE3ohz1Ei0TJPw09MzEWKj6lOOk/Olhu876WLspIuxkyZZFhMQERERSZlshj5nzJjh6SaQixg76WLspIuxky7GzrvIJlEjIiIikhomakREREQiJZtErfRm7SQtjJ10MXbSxdhJF2PnXVhMQERERCRSsulRIyIiIpIaJmpEREREIuX1e32eOHECn332GQwGA3r27IkBAwZ4uknkoJSUFKxYsQJ6vR4KhQLx8fHo27evp5tFDjIYDJgxYwY0Gg2XC5CQ7OxsrFy5ElevXoVCocDkyZPRtGlTTzeLHLBt2zbs2bMHCoUC9erVw5QpU+BrZxFVkg6vTtQMBgNWr16NWbNmITw8HDNnzkRsbCzq1q3r6aaRA1QqFUaNGoXo6Gjk5uZixowZaN26NeMnET/88APq1KmD3NxcTzeFnPDZZ5+hbdu2eP7551FUVIT8/HxPN4kckJaWhh9//BFLliyBr68v3n33XSQmJqJbt26ebhpVklcPfZ4/fx41a9ZEVFQUfHx80KlTJxw5csTTzSIHhYWFITo6GgBQrVo11KlTB2lpaR5uFTkiNTUVx44dQ8+ePT3dFHJCTk4OTp8+jR49egAAfHx8EBgY6OFWkaMMBgMKCgpQXFyMgoIChIWFebpJJACv7lFLS0tDePidPSDDw8Nx7tw5D7aIXKXVanHx4kU0btzY000hB6xZswYjR45kb5rEaLVaBAcH44MPPsDly5cRHR2NMWPGwN/f39NNowpoNBo88sgjmDx5Mnx9fdGmTRu0adPG080iAXh1jxp5h7y8PCxevBhjxoxBQECAp5tDFfj9998REhJi7g0l6SguLsbFixfRq1cvvPPOO/Dz88PWrVs93SxyQFZWFo4cOYIVK1bgo48+Ql5eHg4cOODpZpEAvDpR02g0SE1NNT9OTU2FRqPxYIvIWUVFRVi8eDHuv/9+dOjQwdPNIQf8888/OHr0KKZOnYr33nsPf/31F5YtW+bpZpEDwsPDER4ejiZNmgAA4uLicPHiRQ+3ihzx559/IjIyEsHBwfDx8UGHDh1w9uxZTzeLBODVQ5+NGjXCzZs3odVqodFokJiYiKefftrTzSIHGY1GrFy5EnXq1MHDDz/s6eaQgx5//HE8/vjjAIC///4b33//Pd93EhEaGorw8HDcuHEDtWvXxp9//sniHYmoUaMGzp07h/z8fPj6+uLPP/9Eo0aNPN0sEoBXJ2oqlQrjxo3Dm2++CYPBgO7du6NevXqebhY56J9//sGBAwdQv359vPDCCwCA4cOHIyYmxsMtI/Je48aNw7Jly1BUVITIyEhMmTLF000iBzRp0gRxcXF46aWXoFKp0LBhQ24l5SW4hRQRERGRSHn1HDUiIiIiKWOiRkRERCRSTNSIiIiIRIqJGhEREZFIMVEjIiIiEikmakREREQi5dXrqBERCU2n02Ht2rW4ePEibt68iQceeABTp071dLOIyEuxR42IyAmFhYWoXr06BgwYYN5qiYjIXZioERGVkpGRgYkTJ2Ljxo3mY5cvX8aIESPwyy+/IDIyEuPGjUO3bt0QFBTkwZYSkRwwUSMiKiU4OBhTpkzB5s2bcfbsWRQUFGDp0qXo3LkzOnbs6OnmEZHMcI4aEZGVtm3bonfv3li2bBlatGiBwsJCjBs3ztPNIiIZYo8aEZENI0aMgI+PD/bv34+nn34a/v7+nm4SEckQEzUiIhuSk5ORmpoKhUKBW7duebo5RCRTHPokIrJSVFSEpUuX4t5770WTJk2wevVqNGvWDDVq1PB004hIZtijRkRkZf369cjIyMCECRPQt29fNG7cGO+//z4MBgMA4NKlS7h06RJyc3ORlZWFS5cu4dq1ax5uNRF5I4XRaDR6uhFERGJx6tQpzJs3D7NmzcI999wDANDr9Zg+fToeeughDBw4EEOHDi3zvIiICKxYsaKqm0tEXo6JGhEREZFIceiTiIiISKSYqBERERGJFBM1IiIiIpFiokZEREQkUkzUiIiIiESKiRoRkYfs378fU6dORatWrRAcHIyIiAh07twZX3/9NViQT0QAl+cgIvKYuLg4XLt2DQMHDkSrVq2QnZ2N9evX49dff8X48ePx8ccfe7qJRORhTNSIiDxk//796NKlC1QqlfmYwWBA9+7dceDAAfz5559o2bKlB1tIRJ7GoU8ikqQtW7ZAoVDY7XW655570Lhx4yofQnzsscegUqmwb98+i+Pbt2+HUqnEE088YT7WtWtXiyQNAJRKJQYPHgwA+Ouvv9zeXiISNyZqRCRJjzzyCGrWrIlPP/20zPcOHz6MU6dOYdy4cVAoFFXarlWrVqFBgwYYOXIkUlJSAABJSUl44okn0LhxY3zwwQcVXsO0b2hUVJRb20pE4sdEjYgkycfHB2PHjjUnZaWtXr0aKpUKY8aMcfh6RqMRmZmZ5fbA6fX6Cq8TEhKCr7/+GlqtFmPHjoXBYMCoUaOg1+vxzTffICgoqNzn37hxA6tWrUJ0dDS6dOnicPuJyDsxUSMiyZowYQIUCgVWr15tPmaakP+f//wHtWvXrvAaly5dwrhx46DRaBAcHIyAgAA8+OCDWLJkCX7//XdcuXIF27dvx4ABA7B06VKH2tWhQwe88cYb2LZtGx544AHs2rUL8+fPR0xMTLnPy8nJwcCBA5GVlYU1a9ZArVY79HpE5L1YTEBEktarVy+cOHEC169fh1qtxmeffYZx48Zh69at6N+/f4XP7969O5RKJYYPH46aNWviwoUL2L59O/bt24fc3FwAJfPG+vXrh0WLFqFRo0YOtctoNKJr1674+eef0atXL/z000/lDsPm5eWhX79+2L17Nz7//HOMHDnSsV8AEXk1JmpEJGmbNm3CkCFDsGnTJjz66KPo0qULLly4gKtXr8LHx6fC5588eRKtW7cuczw/Px9///03cnJy0KxZM9SoUcOpdl28eBHt2rVDeno6oqOjceLECVSvXt3muXl5eRgwYAB27NiB1atXY+zYsU69FhF5Lw59EpGk9e/fH5GRkVi9ejX++ecfHDp0CKNHj3YoSQNgM0kDAD8/P8TExKBLly5OJ2lFRUUYPnw4ioqKsGzZMly8eBGTJ0+2eW7pJG3VqlVM0ojIAhM1IpI0tVqNMWPGYPv27Zg7dy4A4Mknn/Rom2bNmoVff/0V77//PqZNm4bnn38e69atw+eff25xXn5+PgYOHIgdO3Zg5cqVGD9+vIdaTERixaFPIpK88+fPo2nTpuZ5YdZrmFWlnTt3onfv3hg+fDjWrVsHACgsLETnzp1x+vRpHDt2DE2aNAEADB48GN9++y3i4+MxevToMtdq3bq13R4/IpIHJmpE5BV69uyJPXv2YO3atRg1apRH2qDVatGmTRsEBgbi+PHjFnPSLly4gHbt2qFp06ZITEyEr68vGjZsiMuXL9u93muvvYY5c+ZUQcuJSKyYqBGRV+jbty9++eUX3LhxA9WqVfN0c4iIBME5akQkeefPn8f27dsxcuRIJmlE5FXYo0ZEkvXrr7/i9OnTWLZsGU6fPo3Tp0+jYcOGnm4WEZFg2KNGRJL14YcfYty4ccjIyMC6deuYpBGR12GPGhEREZFIsUeNiIiISKSYqBERERGJlGN7rEhUYUGBW66r8vFBcVGRW65N4sN4ywvjLR+MtbyIPd5qX1+bx9mjRkRERCRSTNSIiIiIRIqJGhEREZFIMVEjIiIiEikmakREREQixUSNiIiISKSYqBERERGJFBM1IiIiIpFiokZEREQkUqLamaCgoACvvfYaioqKUFxcjLi4OAwdOhRarRbvvfceMjMzER0djWnTpsHHxzNN953+KvY/PREd69f1yOsTERGRfIgqUVOr1Xjttdfg7++PoqIivPrqq2jbti22bduGhx56CJ07d8aqVauwZ88e9OrVS/DXNxgMeHv3Aaz7/QSSMrPgq1Lh7sgamNunJ7o1jhb89ara7B93Yf2xk0jNyYW/jw+6RDfAwn59UD8s1Ob519MzMG3zNpy8fhNX9On4bPijGHFvG4tzTt5Iwgv/+xHHr9+Ev48PxnW4F6/17gGFQuHSaxIREdEdohr6VCgU8Pf3BwAUFxejuLgYCoUCf//9N+Li4gAA3bp1w5EjR9zy+gv3HsQ3x0/i27EjkPbmLJx/5b94Ob4bqqnVbnm9qjbi3jY48t8pSH3zFZx75TnUDwvByC832j1fqVDgwaaNsHbEYNQNCS7z/fTcPDzyyRd48O7GuDHnJWxPGIsvjp7Akv2HXH5NIiIiukNUPWpASa/WSy+9hKSkJPTu3RtRUVEICAiASqUCAGg0GqSlpdl87q5du7Br1y4AwPz586Fycnj08JVreKRlc7SsUwsAEOLjg74tm5c5TwGF+drf/vEX3ti+B5fSdGioCcOrfXpiYOt7AABrfv0db+3ci/Fx7bH0QCKKDQaMjG2Htx/pDfXtn+eKTo/nt/4fDv17GQqFAg/f0wyL+vdFdX8/p9ruiHtq1zJ/rSw2QKVS4Wxyit3fU11NGJ7q2hkAoFIqoVQpLc49fPU68oqK8NKD3QEALevUwri4WHz0yxG8EN/NpdcUI4VCIan2UuUw3vLBWMuLVOMtuhYrlUosXLgQ2dnZWLRoEW7cuOHwc+Pj4xEfH29+XFxU5NRrd2lYH+/s+Rkhfn7ofFd9tKtTG4F+ZXezN8KI4qIi/HLpCkZ9sQEbRw9DfNNG2PHPeTy2dj12Tx6L+xrUg9FgwOU0PS6n6fDPzGdxIz0Tj3zyBcKq+WFGz67IKyxE/Puf4LF2rfDZsEHIKyzC6K824Zlv/4ePHxtos43Tvv0e3xz/0+7P8EKPLnixxwN2v//1sZOYtvl7ZOTlw0epxMJ+fRz+PRmKDRbnFhcVwWg0oqiw0DzUWVRcjIupOuiyshB8u3e0Mq8pBiofH0m1lyqH8ZYPxlpexB5vpW/ZfAMQYaJmEhgYiHvuuQdnz55FTk4OiouLoVKpkJaWBo1G45bX/G+3zqgZXB3rj5/E4n0HkVNQiF7NmmDpwIdQLzSkzPlrjxzHwFYt0Kd5UwBA3xZ3o3/L5lhz5Djua1APQMnw4fyHe6GaWo1GNTSY3r0LFu09iBk9u+L/Tp2FEUbM6dMTAFBNrcacPj3xwPKPsXJIf6iUZUemlz/6CJY/+ojLP+PwmNYYHtMaSRmZ+Oy3Y2hZM8rla8U1rAelQoEFew7gv10742xyKj7/7RgAICMv35yoCfmaREREciKqOWoZGRnIzs4GUFIBevLkSdSpUwf33HMPDh8+DADYt28fYmNj3fL6CoUCI+5tg/+NHwXtvJdxYNoEXE7TYfS6TTbPv6ZPR0NNqMWx6PAwXNOnmx9HBgUioFSW3CAsFNfTMwAAl9J0uKJLR8Sst8z/eq9cA4VCgaTMLOF/wFJqBlfHkx3uxYBP1yEtJ8ela2gCAvDdkyOx48x51H99IcZ9sxmj74uBUqFAWLVqbnlNIiIiORFVj5pOp8OKFStgMBhgNBrRsWNH3Hvvvahbty7ee+89fPPNN7jrrrvQo0ePKmlPTN3aGNfhXrz6426b368bGoLLOr3FsYtpOtQt1fumzcpGTkGBOVm7rNOjzu2J+fXDQtEkIhx/vDDN4TZN3fQ/fHXspN3vv9Tzfszo2dWhaxUZDMguKMCN9ExoAgIcbkNpHRrUw56pT5ofz/h+O2Lr1bE5ZCzUaxIREcmFqBK1Bg0a4J133ilzPCoqCm+//bbbX/+9/YfQLDICHRvWR0g1f5xLTsWXR0+gy131bZ4/KrYt+nz0OUbcew49mzTCzn/OY+ufp7Fr8ljzOQajES//3068/XAv3MzIxLv7DmFUbFsAwEMtmuK1n3Zh/u79mNo5DkF+vriRkYkjV65hQKsWNl9zxeB+WDG4n9M/m8FgwMrEIxjc5h5EVg/CNX06nt36AxqGhaJZZA27z8srLASAkrloxcXIKyyEj1IJn9vFEMev3UDzqAgoFAp8//cZfPLrUWwYPaxSr0lEREQlRJWoeVqwvz/e2rUfZ5NTkF9UjPCAaujdrAnm/qenzfM73dUAq4cNwkvfb8cVXTrqh4VgzfBH0eH2/DSgZKizTkgwmr61BMUGA4bHtMb07l0AAAG+vtieMBazftiJVu8sQ2Z+AWoFV8eQti3tJmqV8dOZs3hz5z5kFxQgtJo/Hmh0F36cNMacdH117A9M3fQ9dG/NuvM7mTnP/PWEDVsxYcNWzHqwG17tXdKrueqXI/j25N8oKCrGPTUj8fWox9CjSSOHX5OIiIjsUxiNRqOnG+EuhQUFbrmuo5Uja48cx9u79uP0zGfd0g6qGmKvFCJhMd7ywVjLi9jjrbZT9SmqYgIiIiIiuoOJGhEREZFIcejTBWLvPiVhMd7ywnjLB2MtL2KPN4c+iYiIiCSGiRoRERGRSDFRIyIiIhIpJmpEREREIsVEjYiIiEikmKgRERERiRQTNSIiIiKRYqJGREREJFJM1IiIiIhEiokaERERkUgxUSMiIiISKSZqRERERCLFRI2IiIhIpJioEREREYkUEzUiIiIikWKiRkRERCRSTNSIiIiIRIqJGhEREZFIMVEjIiIiEikmakREREQixUSNiIiISKSYqBERERGJFBM1IiIiIpFiokZEREQkUkzUiIiIiESKiRoRERGRSDFRIyIiIhIpJmpEREREIuXj6QYQEZHztMmp2LhlO3T6DISFBmPIwN6IjAj3dLOISGBM1IiIJEabnIq3F62CNjnNfOz8hcuYOX0ikzUiL8OhTyIiidm4ZbtFkgYA2uQ0bNyy3UMtIiJ3YaJGRCQxOn0GACAhKgsJUVnm4/rbx4nIe3Dok4hIYsJCgwEAR7N8LY6H3j5ORN6DiRoRkcQMGdgb5y9cxtFSw5+RERoMGdjbg60iIndQGI1Go6cb4S6FBQVuua7KxwfFRUVuuTaJD+MtL1KJtzY5FZs2/wi9PhMhYSGs+nSBVGJNwhB7vNW+vjaPs0eNiEiCIiPC8VDRv/DVqFFrwmRPN4eI3ISJGhGRxOTnF2Dc5FcAAHH3tcE0D7eHiNyHVZ9ERBLy16lz5iQNAMaMHOjB1hCRu7FHjYhIIt5b8TmO/P4XgNs9aQkjPdwiInI3JmpERCKXmZmNhGfmmB+/8mICWjRr5LkGEVGVYaJGRCRihw4fxwervjI//mzlW/D1VXuwRURUlZioERGJkNFoxMtzluDK1ZsAgEf+0x3DhvT1cKuIqKoxUSMiEhmtNhXPzZhvfvz26/9F/bq1PNgiIvIUUSVqKSkpWLFiBfR6PRQKBeLj49G3b19kZWVhyZIlSE5ORkREBJ577jkEBQV5urlERIL7v5/246sN2wAAIcFBeP/d2VAqWaBPJFei2plAp9NBp9MhOjoaubm5mDFjBl544QXs27cPQUFBGDBgALZu3YqsrCyMHFlxtRN3JiAhMN7y4ql4FxUVY9K015CXnw8AGD1iAHr17Fzl7ZATvrflRezxtrczgag+poWFhSE6OhoAUK1aNdSpUwdpaWk4cuQIunbtCgDo2rUrjhw54slmEhEJ6uLlaxg9cYY5SVu26BUmaUQEQGRDn6VptVpcvHgRjRs3Rnp6OsLCwgAAoaGhSE9Pt/mcXbt2YdeuXQCA+fPnQ+Xjnh9PoVC47dokPoy3vFR1vNd8uRk/7fgZANC0SUPMnfU0FApFlb2+nPG9LS9SjbcoW5yXl4fFixdjzJgxCAgIsPieQqGwexOLj49HfHy8+bG7ujjF3n1KwmK85aWq4p2Xl48np8wyP35myijcF9sahuJit782leB7W17EHm+lVDZlLyoqwuLFi3H//fejQ4cOAICQkBDodDqEhYVBp9MhODjYw60kInLdyb/+wYJ3PzE/XrV8LgIDA8p5BhHJlajmqBmNRqxcuRJ16tTBww8/bD4eGxuL/fv3AwD279+P9u3be6qJRESVsnjZZ+YkrXNcO6z7dCGTNCKyS1RVn2fOnMGrr76K+vXrm4c3hw8fjiZNmmDJkiVISUlxankOVn2SEBhveXFXvNMzsjDl2bnmx7NnTEazptGCvw45ju9teRF7vO1VfYoqURMaEzUSAuMtL+6I98+Jv2PlJ9+YH3/20VvwVXMbKE/je1texB5ve4ma6OaoERF5C6PRiJdmL8b1G7cAAP0f7omhg/p4uFVEJCVM1IiI3OCWNgX/nbHA/HjBvOmoWyfKgy0iIiliokZEJLDvf9iLbzb9AAAICwvBsoUvcxsoInIJEzUiIoEUFRVj/JRZKLw9D2bsqEGI797Rw60iIiljokZEJIB/L17F7HnLzI+XL54FTViIB1tERN6AiRoRUSV99sVm7Nr7CwCg+d3ReOXFBG4DRUSCYKJGROSi3Nw8jJ862/z4uadGIzampQdbRETehokaEZEL/vjzDN5Zstr8eNX7ryMwoJoHW0RE3oiJGhGRkxa8+wlO/vUPAOCBzrGY9ORjHm4REXkrJmpERA7Sp2dg6nPzzI9fe3kqmjZu6LkGEZHXY6JGROSANxZ8iNP//Gt+vOajt6FW8xZKRO7FuwwRUTmKi4vxxIQZAAAljAgKCsCHy173cKuISC64VDYRkR0/7TxoTtIAoGnTaNSpWxsrVn0FbXKqB1tGRHLBHjUi8gra5FRs3LIdOn0GwkKDMWRgb0RGhLt8vRHjXgAAxAQWAACuVotC0PWSAoLEM744f+EyZk6fWKnXICKqCBM1IpI8bXIq3l60CtrkNPOxihIpe4ldVlY2xk+ZZT7vvqACBAcH4Z1zOjwaVZK0Hc32hTY5DRu3bMfUiY+794cjIlljokZEkrdxy3aLJA1AuYmUvcSuXt1a+P343+Zj058Zh7Ytm+CtRR8D+BcrbwVZXEevzxD2ByEissJEjYgkT3c7YUqIygIAc0JlL5Gyl9iVPrbu04XQJqfig9UbcO2G1uZ1QkODK912IqLyMFEjIskLu50wHc3ytThuL5Gyl9gBgEYTiuWLXjH3utXPSUJTAEdhee3ICA2GDOwt1I9ARGQTEzUikrwhA3vj/IXLOFqqR6y8RMpeYte2dTPMmD4JxUVF5l63QaXmpQFAcHAQWrZoUuliBSIiRzBRIyLJi4wIx8zpE7Fp84/Q6zMREhZSbiI1ZGBvJB4+bk6+Sq6hwegRA8yPTb1u1vPS6taOYgEBEVUZJmpE5BUiI8Ix1C8JiAJqjJls97x9B37Dx2s2mh/7qtWIvbdlmcQuzM6wKeelEVFVYqJGRF4jIKZLud83rY1msmLJbISG2E68TMOpWgeHU4mI3EFhNBqNFZ1kMBhw6tQpnDp1ClqtFgUFBQgODkZ0dDRat26NGjVqVEVbnVZYUOCW66p8fFBcVOSWa5P4MN7SV1hYhDGTZlocW/fpQpvnlo63aa01vT4DoQIsokviwve2vIg93mpfX5vHy03UCgoKsG3bNmzfvh1ZWVlo2LAhwsLC4Ovri+zsbFy5cgU6nQ5t2rTBo48+iqZNm7rtB3AFEzUSAuMtHYbCfACAUu1nPrbq0w3Yf/CI+XHPbnEY98Sjdq/BeMsHYy0vYo+3S4laQkICmjZtim7duqF169bw8Sk7UpqcnIyDBw9i586dGDRoEOLj44VrdSUxUSMhMN7SkbJmEQCgxpjpAMoOdX6+aj58fFTlXoPxlg/GWl7EHm+XErUrV66gfv36Dr1AUVERkpOTUatWLdda6AZM1EgIjLd05P5V0nOWW6cppj3/hsX37A11WmO85YOxlhexx9ulRE3qmKiREBhvcbK3V+dT/51nXloDABKefAz3d451+LqMt3ww1vIi9njbS9QqXfWZl5eHf//9Fy1atKjspYiIHGJvr86MlNTbjxQAHO9FIyISK2VlL5CUlIS5c+cK0RYiIofY26szz6hAnpFJGhF5D66jRkSSU95enbNeSkDzuxt5pF1EREKrMFF77LHHqqIdREQOs7dXZ6e4dkzSiMirVJio+fr64qGHHkLDhg1tfl+r1WLdunVCt4uIyK6iwpIJwdZ7dXLXACLyNhUmag0bNkRQUBDi4uJsfv/SpUtM1IioylivjdakUX1ERIRz1wAi8koVJmrt2rVDTk6O3e8HBQWha9eugjaKiMhabm4exk+dbXGMBQNE5O24jpoLxL4WCwmL8fa80RNnoKio2Py4bp0oLJg33S2vxXjLB2MtL2KPt9vWUQNKdiWwtb0UEVFlld0G6m3eb4hINhxeR23BggXIzMwsc/zatWt4+eWXBW0UEdGFi1fNSVqbgAK0CSjAuk8XMkkjIllx+I6XnZ2N6dOnY8qUKWjTpg0A4KeffsKXX35pt9CAiMgV1r1ofev5o2ZUhIdaQ0TkOQ7PUTMYDNi8eTM2b96M+Ph43Lp1C2fPnsWTTz6JLl26uLudLuEcNRIC4121rJO0dZ8uhKEwHwCgVPu5/fUZb/lgrOVF7PGu9Bw1pVKJwYMHw2Aw4Ntvv4VSqcTcuXPRtGlTwRpJRPL1w/b9WLd+m8UxU1VnVSRoRERi5HCPWmFhIb744gvs3r0bAwcOxOnTp3Hp0iUkJCSgffv27m6nS9ijRkJgvN3PuhftuadGIzampflxzsnDAICA1u6fZsF4ywdjLS9ij3ele9RmzJiB4uJivP7662jUqGSLlu+//x7vvfce7r//fiQkJAjTUiKSDaPRiJFPvmhxzNbaaDnHDgKomkSNiEhMHE7UmjRpgrFjx8LP784QxCOPPIJWrVph+fLlbmkcEYmHNjkVG7dsh06fgbDQ4ErvBPD09DeRmqa3OGZvAdvwUc+6/DpERFImyIK3hYWFUKvVQrRHUBz6JCEw3iVJ2tuLVkGbnGY+FhmhwczpE11K1qyHOu9tdw9GDnvE5rWEThArwnjLB2MtL2KPt72hT4fXUSv34iJM0ohIOBu3bLdI0gBAm5yGjVu2O3WdjIwsiyQtNrAAsYEF+P3437cTwVSr1yhJEAv+/BWBV08j8fBxm+cREXmrcoc+P/jgA5cuet999yE2Ntal5xKR+Oj0GQCAhKgsAMDKW0EAAP3t446w7kUDgNigkl7vo9m+5sRv6sTHzd83JYiDoso/j4jIW5WbqEVEuLbAZEBAgEvPIyJxCgsNBgAczbLsmg+9fbwi1klas7ujceaff80Jn4l14mdKECs6j4jIW5WbqA0ZMqSq2kFEIjZkYG+cv3AZR63mqA0Z2Lvc5/3191m8vfhji2PrPl2IFau+snm+deIXZicRdDRBJCKSOoerPi9duoSGDRu6sSklQ63Hjh1DSEgIFi9eDADIysrCkiVLkJycjIiICDz33HMICgqq4EpEJKTIiHDMnD4Rmzb/CL0+EyFhIRVO6rfuRbu/871IeHIYgDuJn3VxgnXi5+h5RETeyuGqz8ceewwNGzZEz5490aVLF7cMb546dQr+/v5YsWKFOVH78ssvERQUhAEDBmDr1q3IysrCyJEjHboeqz5JCIz3HSlrFgEAaoyZXu55traBsmaq5tTrMxBaTjWno+cJhfGWD8ZaXsQeb3tVnw4najdv3sTevXtx4MABZGdno3379ujRowdatmxZ8ZOdoNVqsWDBAnOi9swzz2DOnDkICwuDTqfDnDlzsHTpUoeuxUSNhMB431HRDgGffbEZu/b+YnHM3tpoYsV4ywdjLS9ij3eldyaoVasWHn/8cQwbNgwnTpzA3r178dZbbyE8PBzdu3dH165dER4u/Kfc9PR0hIWFAQBCQ0ORnp5u99xdu3Zh165dAID58+dD5ePwj+cUhULhtmuT+DDed1SP6WL3e8OeeM7i8bjRj6JXT/vnixXjLR+MtbxINd5Ot1ipVCImJgYtW7bEjh078PXXX2P9+vXYuHEjOnTogCeeeAIajcYdbYVCoYBCobD7/fj4eMTHx5sfuytzFntWTsJivO8wFOYDsNwk3WAwYNT4lwCUrIsGlCyjse2HvWjVoolbhyndgfGWD8ZaXsQeb2Vle9RMzp8/jz179uCXX35BtWrV0L9/f/To0QM6nQ4bNmzAwoUL8fbbb1e6wSYhISHQ6XTmoc/gYFZ7EXlK2rqS7eJMc9Ss56JVtC4aERE5x+FEbdu2bdi7dy9u3ryJmJgYTJs2DW3btoVSWbK5QY0aNZCQkICpU6cK2sDY2Fjs378fAwYMwP79+9G+fXtBr09EjguM7Wr+2tYCtlzvjIhIWA4najt27ECPHj3QrVs3hIaG2jwnJCQECQkJLjfmvffew6lTp5CZmYmEhAQMHToUAwYMwJIlS7Bnzx7z8hxE5BnVWrZHapoe462StE5x7ZB4+HiZ87neGRFR5QiyKbtYseqThMB43/HkkyVDnnnGO3NF1326UPBN2z2J8ZYPxlpexB5vl5bn0Gq1iIyMdOgFjEYjUlNTUaNGDdda6AZM1EgIjHeJEeNesNjrc+3H86FSqczfr+r1ztyF8ZYPxlpexB5vlxK1CRMmICYmBj179kTTpk1tnpOVlYXExET8+OOP6N27N/r06SNMiwXARI2EIPd4/3zoKFauXm9xTGprozlD7vGWE8ZaXsQeb5cStezsbGzevBl79uyBUqlEdHQ0wsLCoFarkZ2djWvXruH69eto3LgxHn30UbRt29Zd7XcJEzUSgpzjbV0w0PKeJpj5/EQPtaZqyDnecsNYy4vY412pnQkKCgpw7NgxnDlzBsnJySgoKED16tVx1113oU2bNqhfv77gDRYCEzUSglzj7cg2UN5IrvGWI8ZaXsQe70pvISVFTNRICHKL9xvvrMTpMxcsjsklSQPkF285Y6zlRezxrvQWUkTk/Uy9aEqUfH5LmPA4OneM8WSTiIhkrdxEbe7cuQ5f6LXXXqt0Y4jIM4qKijF64gzzYwMUaN6sEU78eQZNGjeQZPUmEZE3KDdRq1evnvlrg8GAn3/+GaGhoWjSpAmAku2kdDod7r//fve2kojcxtYOA7GBBcDV00g844vzFy5Lcj00IiJv4PActTVr1sBgMGDs2LEWG6OvWbMGRqMRY8eOdVsjXcU5aiQEb463dZJ2b7t78Pvxvy3WSwNKdh6Qy56d3hxvssRYy4vY421vjprS0QscOHAAffr0sUjSAKBXr144cOBA5VpHRFXqxk2tzarOnNw8ACUJWul9O7lnJxGRZzhcTGA0GnHlyhXUrl3b4viVK1cEbxQRuY+toU5TVWeYnb05uWcnEZFnOJyode/eHR999BGSkpLMc9TOnTuH7777Dt27d3dbA4lIONZJ2hefLIBSeadjfcjA3jh/4XKZPTuHDOxdZW0kIqI7HJ6jZjAY8P333+OHH36AXq8HAISGhqJv37545JFHLG72YsE5aiQEb4j3jt2H8Pm6rRbH7K2N5i17drrKG+JNjmGs5UXs8RZ0wducnBwAQEBAQOVa5WZM1EgIUo+3dS9ah9jWeHrKKA+1RvykHm9yHGMtL2KPt2AL3l64cAG3bt1CTEzJIph5eXlQq9VQqVSVayERCU6u20AREXkLhxM1vV6PhQsX4vz58wCAZcuWwd/fH2vXroVarRbl8hxEcjXz1Xdx5dpNi2NM0oiIpMfhiWWff/45QkJCsHr1avj5+ZmPx8XF4eTJk25pHBE5b8S4FyyStOemjWaSRkQkUQ73qP3111+YPXs2goKCLI7XrFkTKSkpgjeMiJxTUFiIsZNetjjGBI2ISNocTtQKCgrg41P29IyMDKjVakEbRUTOKW9tNCIiki6Hhz6bN2+Offv2mR8rFAoYDAZs3boVLVu2dEfbiMgB1knaiiWzmaQREXkJh3vURo4ciddeew0XLlxAYWEh1q5di6tXryInJwfz5s1zZxuJCHfWN9PpMxAWGoy49m3w7vI1FucwQSMi8i5OraOm1+uxY8cO/PvvvzAajbjrrrvQu3dvhIWFubONLuM6aiQEd8fbOgGztcCsNjkVby9aZbFjgDUmacLg+1s+GGt5EXu8K7WOWlFREV599VU89dRTGDp0qKANI5IzWwnY+QuXMXP6RItkbeOW7XaTtFXPDIJCoXB7W4mIqOo5NEfNx8cHWq3W3W0hkh1bCZg2OQ0bt2y3OKbTZwAAEqKykBCVCSVKOsJbNGuE3OOHkHPsYNU0mIiIqpTDc9S6du2K3bt3Y9Qobj1DJJTSCRgArLxVsvyN/vZxk9NnLlh838Tf3w/ho8a7u5lEROQhDidq+fn5+Pnnn3Hy5ElER0dbLHoLAOPGjRO8cUTeLiw0GABwNMtybkLo7eNA2arO2MCSuZdHs33x76VreHfFF8jNy7c7v42IiKTL4UTt+vXriI6OBgAOgxKVYqsYAECFBQIAMGRgb5y/cBlHSw1/RkZoMGRgb5trowFAbNCdRE2vz4Dy3AkEAkg842tzfhsREUmXU1WfUsOqTxJCefG2VQygCQuGQqFEaprefCwyQlMmgTIleFptKjLSMxAaHIQaUREYMrA3nntpvsXrPD1lFHbuSTQPgZZmPWzaKa4dpk583OWfV+74/pYPxlpexB7vSlV9llZQUICkpCQAJdtH+dq5MJEc2CoGSNNllDnPVCBgSqCsE7yEqCyoC9Wo3XdImSTNtOzG0WN/2WyD9bw16/ltREQkXQ4naoWFhVi3bh127tyJotsZqY+PD+Lj4zFixAgmbCRL9ooBbB0rnUBZJ3i/3Z6jduzVJRbXL702mmmYtLy11ADL+W1ERCRtDidqH3/8MU6ePImEhAQ0bdoUAHD27Fl89dVXyM3NxZQpU9zWSCKxslcMYOtY6QSqvAQPAD5Y8ipCQqpbHIuMCMfM6ROxcct26PUZ8Pf3w6XL1yx68Ezz24iIyDs4nKgdPnwY06dPR+vWrc3HoqKiEBISgsWLFzNRI1myVQxgmqN21GqOWukEyjrBUytKpooWGhXl7jAQGRFuMf/MNM9Nr89AKKs+iYi8jsOJmp+fHzQaTZnjGo2Gw54kW6Zerk2bf4Ren4mQsBBzQlb6WPcHOlhUgXZ/oAMSDx/H0WzL905M2xbQJqc6nGxZJ25ERORdHE7U/vOf/2Djxo2YOnWqOTErKCjApk2b0KdPH7c1kEiMrJfkGKi8Ct8oNWqMmWw+Z6hfEhAFGB4aWqYyNPHwcYvrmddGO3EK164ncYkNIiIC4ESidvbsWZw+fRqTJk1CgwYNAABXrlxBcXEx8vPzsWDBAvO5L730kvAtJRIJW0ty+Nb0xSN9u1ucFxDTBQDwWTn7dJqUXhvNukKUiIjky+FELTg4GB06dLA4FhkZKXiDiMTO1pIc+5IKUHBKi6ld7hwLaB0HAND9dAJA2cKBwMBqqF+vNk6fucAlNoiIyCaHEzUWCxCVsFWxqVYYkanTW5xnKMxHcnIakm8nddbJWJtWzey+BpfYICIiwIUFb4nkztaSHE9GZiPYcNHivKQ17+LCv1eQkmqZoAGWVaDWa6NxiQ0iIjJhokbkJFtLcvyt0GBA13iL8778IwmAb5khzxrhYRbFAqXXRuMSG0REVBr3+nSB2PcLI2HZirc2ObXMkhym5EqfnoGpz82ze70WzRrhlRcT3Npmch3f3/LBWMuL2OMt2F6fRFJnvbSGKz1YkRHh5uU3aoyZDENeDgx5ORg15TXzOfZ2HeD8MyIichQTNZIVW0trnL9w2aV1y0zLbwBA2jcf4PQ/FwDcScr8Bk3C+k0/ANCZj3H+GREROUPpypNGjx6NW7duCd0WIreztbSGad0yZwW0jkNA6zjsPfArPj5yDQcz/BAbWGBevHblpxvh518NNcLD0Di6HjrFteNCtkRE5BSXetS8eFobeTl7m6G7sm6ZoTAf4xJeQaFRAUBtcd2j2b5o5ZMFpGXhcrYvlEoFpk4awSSNiIic4lKPGpFUlV5ao/TyGq7MGzv06rN4MjLb4tjKW0Hm5C82qMC844CrvXZERCRvLvWo3X///ahWrZrQbSFyO1tLazg7b+zZF99CcooO/opA87FOce3K7N/J3QaIiKiyXErUJkyYIHQ7iKpEZEQ4Zk6faHdpjYqMGPeC+es8owKNouvj9VnToE1OLbNwrTVWexIRkbMkU/V54sQJfPbZZzAYDOjZsycGDBjg6SaRRFkvreEIo9GIkU++aHHsk/8OtbimaeFarTYFV6/fQn5+Qanvs9qTiIicJ4lEzWAwYPXq1Zg1axbCw8Mxc+ZMxMbGom7dup5uGklU6aU1KjLsiefKHFv36UKkrFkEAKjWsj2AkmRt6sTHAdxZq427DRARUWVIIlE7f/48atasiaioKABAp06dcOTIESZq5LKA1nEOnVd6qBMAnp36BNrf2woAoBkxze7zSidtRERErpJEopaWlobw8Du9EeHh4Th37pwHW0RSZerpytDpERZaHYMG9bXZ05WcosOzL75lcWzdpwstHivVfm5tKxERkcOJ2jvvvIOePXuiXbt2UCrFuarHrl27sGvXLgDA/PnzofJxTx6qUCjcdm1yn1vaFMxf/DFuaVNL1jvTA/MXX8fLLyYgKrKG+TxbQ53frF1S5lj2iV8AAIFtO7qtzVT1+P6WD8ZaXqQab4db7O/vj/feew8BAQHo2rUrunfvjlq1armzbWYajQapqanmx6mpqdBoNGXOi4+PR3x8vPmxuzZfFfvGrnLj6N6d6zf9gFvakr+jXzJL1lC7lZOK9Zt+wJCBvbFxy/YyS2ysev91BAdXtxnvrKP7AQD+t+eokXfg+1s+GGt5EXu8lZXdlP3pp59GTk4ODh48iL179+K7775Ds2bN0KNHD3Ts2BG+dl5ACI0aNcLNmzeh1Wqh0WiQmJiIp59+2m2vR9LhzN6d9nYl0Can4tV5y5CZlWNx/pIFMxAYYH+9wPBRzwrxIxAREdmlMLq4H9TVq1exe/du7Ny5E2q1Gp06dULfvn3dNsH/2LFj+Pzzz2EwGNC9e3cMGjSowucUFhRUeI4rxJ6Vy8mKVV+V6QUDShagtZ7Mbzo3NrAAaoURx7N9kWdUmL9vncCZrmEr3o724pH08P0tH4y1vIg93urK9qiVlpaWhiNHjuDYsWNQqVTo0KEDUlNT8cILL2D48OHo169fpRprS0xMDGJiYgS/LkmbM3t3DhnYG/+cvYijaXokRGWhTWChxe4Bju4kYOrFq5+ThEAAiWd87fbiERERVYbDiVpRURGOHj2KvXv34uTJk2jYsCH69euHLl26wN/fHwBw9OhRvP/++25J1IhsKb13Z2m2dgGIjAhHg/q1oUvT4VCGL4xQlDmnomsAKFnUNjkNg6JKemyPZvua9/LkkhxERCQkhxO1SZMmwWg0okuXLpg/fz4aNGhQ5pzmzZsjMDDQxrOJ3MPZvTtz8/IxMSobtX2LcaNAhb9y1QAAtdoHhYVFDl3D1IvHvTyJiMjdHE7URo8ejbi4uHKLBgIDA7FixQpBGkbkCGf27jQajTh95gKqBZb8DR/LvvO33OqepvD393NoJ4EwOz1t3MuTiIiE5nCi9sADD7izHUQuc2TvztI7DJRO0Eqer8Go4f0cnl9m6sXTOtiLR0RE5CqXqz6lgFWf8pFz8jCAkq2hrCsyratCn5r0OI79cdrhfTjLq/rkXp7eh+9v+WCs5UXs8bZX9clEzQViD7ac2VpXrTTrbaAcwXjLC+MtH4y1vIg93oIuz0EkNobCfAB3KjJtcSVJIyIi8iQmauQV0tYtBwDo9CWVmNbrqrVo1sgzDSMiIqoEJmrkFQJju+Kv0+dx+swxqBVGrNYGorDUrgOsyCQiIiliokZeYfy7G8xfl07QAFZkEhGRdDFRI8krvfQGACwe1xu/HT2JPwsCWJFJRESSxkSNXObqxuRCbWg+5dm5SM/Isji27tOFSFmzCJ1CgX5jEpy+JhERkZhweQ4XiL3EtyrYWgYjMkJT4cbkrj7PmqkXzVQ0kNS+P4YM6gMAMBaXxEahEuZzCOMtL4y3fDDW8iL2eHN5DhKUrWUwrDcmt9Vz5sjzymMwGDBq/Evmx+uSA7DivVehCgqx+5oc9iQiIqliokYuMW1Mbr0Mhmljcls9Z+cvXEb16oHlPq881nPRAGDlJ4vNX5tes35OEgIBJJ7xxfkLl53urSMiIhILJmrkEtPG5EezLLtqTctg2Os5MxiM5T7PHuskbd7spxF9Vz3k/fMHAMD/7jbm1xwUVTLkfTTb16neOiIiIrFhokYuMW1MftTOxuT2etxCQ6tDqVTYfZ616zdu4cVZiyyOld5hIOuXnQBKEjXTa5pey8SR3joiIiIxYqJGLomMCMfM6ROxafOP0OszERIWYjEfzF6PW2REOKZOfNzu80qzNdRpvQ1U2NBJd7620yvHxW6JiEiqmKiRyyIjwjHULwmIAmqMmWzxvfJ63Mp7nol1kvb5qrfh41P2z1UVUL3Ma1pXlHKxWyIikiouz+ECsZf4VqWck4cBAAGt48p8T5ucarfnzN7ztvxvJzZt3WFxrLzN1HNPHwMAVGseY37NjVu2Q6/PEGyxW8ZbXhhv+WCs5UXs8ba3PAcTNReIPdhikrKmZH5ZjTHTKzzXkaHOylzfVYy3vDDe8sFYy4vY48111MgtDIX5AACl2s/m9wNiujj0vBHjXrAoPKgoQTPRDJviVHuJiIikhD1qLhB7Vl6VXO3RMj1v1rEsZGZlAwAClAYAwMel1kYTA8ZbXhhv+WCs5UXs8WaPGrlFYGzXcr9vr8ctMLYrlq/8Epk5d/4wBwx+BA/16ebU6+f+dQQAUK1le6eeR0REJAVM1KhSKkqQ0tYtB2DZ41ZUVIzx724AcCdJW/fpQuSePobc08fMhQGOyD6636F2EBERSRETNaoUQ14OAEDpH2Dz+9Y9buUVDGT/ugcAnErUNCOmOXwuERGR1HCOmgvEPs5dlSpT1bn47ZdQM6qG+XFFSZ+nMN7ywnjLB2MtL2KPN+eokVsEduhR7vcNeTm4cVOLl+atsDhuq6rTlQStvHXciIiIpI6JGlVKRcOUh+Y+f/urO/tv2lt6w5XCgJxjBwEwUSMiIu/ERI0qpTgnE4DlVk4mJUOddxK0Lz5ZAKVSafdarhQGhI961uFziYiIpIZz1Fwg9nHuqmRrjtr2XQex9qvvLM5zZAHbihbPtWbaLkqnz0CYQNtF2cJ4ywvjLR+MtbyIPd6co0ZuEdTxQYvH1gUDrVs2xUv/neDQtRxN0ICSJO3tRatQPycJgQASz/ji/IXLmDl9oluSNSIiIk9gokZOs9WT5Y+ySZqj20CZOFMYsHHLdmiT0zAoqqTX9Gi2L7TJadi4ZTumTnzcqdclIiISKyZq5BRTT5Y2OQ0AUF1pwOnjf0CXb0BCVBaCVEbsSffD88uXOn1tZwoDdPoMACX7gpamv32ciIjIGzBRI6eYerJMRkSUrH228lYQ1mgDMatNIEY3LltY4AhnCgPCQoNtHg+1c5yIiEiKmKiRU0w9WQlRWQAse7RWr14EY7FrEzWdLQwYMrA3zl+4bJE0RkZoMGRgb5den4iISIyYqJFTTD1ZR7Msq1M6xbVDUuJeHD7yB/7K93eqCtOVwoDIiHDMnD4RG7dsh16fgVA3Vn0SERF5ChM1ckri4eMASibvm0RGaND9gQ649NVSNDQU4GK6n1NVmK4WBkRGhLNwgIiIvJr91UeJSklO0VlUdbasVoj/NNGgU1w7zJw+EXsP/IqV132RVQzEBpUkXKZkqyKlCwNKD6WyMICIiOSOPWpUIesErU7tSPStU9KjVmNMSY+WTp+BQqMCH96yLCRwJNliYQAREZFtTNSoXNZro01oXxcAoBk2xeJ4WGgwYgJLetKOlRoWdSTZYmEAERGRbUzUyKY//z6L+Ys/tki+1n26EIa8kuU4lP4BFucPGdgb/147jMLCQnOi5miyxcIAIiIi27jXpwvEvl9YZZXuRUuIykKtmpFo/Mxci3Ny/zoCwHID9VtJWnz73Q7o0rO8Ktny9niTJcZbPhhreRF7vLnXJznEeqizyxvLLR6bErTso/sB3EnUtMmp2PS/XdClZ7l1g3QiIiI5YaJGAICNm3/C1m27LY4tWTADH6zeYLEIrfJ2gqYZMc18HjdIJyIicg8malSmF23+68/Dz09tM/ma8cwYRERooFT7mc/nBulERETuwXXUZKyoqKhMkrbu04WoV7emOfmKDSqwWBdt07a9UKr9kHPyMHJOHgbAddCIiIjchT1qMrXwvU9x4uRp82O12gdrPnrb/Lh08lWaJuViSZJ27CAAIKB1HNdBIyIichPRJGq//PILNm7ciOvXr+Ott95Co0aNzN/bsmUL9uzZA6VSibFjx6Jt27aea6gXMPWimTZWb//ae/D397M4x17y1UKhR86xgwgf9az5GNdBIyIicg/RJGr16tXD9OnTsWrVKovj165dQ2JiIt59913odDrMmzcPS5cuhVLJUVtn6XTpeOr5N8yP1yYHYOWyOVBZJWmA/eSr5tgnUQyUKTLgOmhERETCE02iVrduXZvHjxw5gk6dOkGtViMyMhI1a9bE+fPn0bRp0ypuobRZz0Xr/3BPDB3Ux+75thah7f5AB3y54f/w599n0cY3p0yFJwsHiIiIhCWaRM2etLQ0NGnSxPxYo9EgLS3N5rm7du3Crl27AADz58+Hysc9P55CoXDbtd1h2BPPWTz++vN3oVAokPP37wCAgHvutfm8WrWi8PSUJwAAt7QpeOudlaiXfRNtfO9svG6q8Ny0dQemTR7lxp/Cc6QWb6ocxls+GGt5kWq8q7TF8+bNg16vL3N82LBhaN++fdknOCk+Ph7x8fHmx+5agVjsqxubnDpzAW++s9Li2LpPF8JQXAwAyPxlJwDA7+42FV5r/aYfcEubioG3l+CwLjLQ6dIl8TtxhVTiTcJgvOWDsZYXscdbKYadCWbPnu30czQaDVJTU82P09LSoNFohGyWV7Ie6nzh2SfRtnUzi2PWG6uXx14VqAkrPImIiIQn+hn5sbGxSExMRGFhIbRaLW7evInGjRt7ulmiZmttNOskDSjZWN16c3V77FWBAqzwJCIichfRbMr+22+/4dNPP0VGRgYCAwPRsGFDvPLKKwCAzZs3Y+/evVAqlRgzZgzatWvn0DXltin79z/uxTcbf7A4tu7ThXbPt7Wxuj2mbaJKV4GqfXzQqmVTjBrez6srPMUab3IPxls+GGt5EXu87W3KLppEzR3klKhZ96ItWTATkRHlDxGnrFkEAKgxZrpDr6FNTpXlEhxijDe5D+MtH4y1vIg93kzUBCSmYBcWFmHMpJkWx8rrRSvNUJgPABb7dlJZYoo3uR/jLR+MtbyIPd72EjXp1amS2VsLP8Lfp8+bH9/d9C68OsPxAgEmaEREROLGRE2irIc6P/voLfiq1U5dw7SpekDrOMHaRURERMIRfdUnWUpJ1dms6nQ2SQOAnGMHzZurExERkfhwjpoLPDXObZ2gDR3UB/0f7uny9YzFJT+DQsWO1fKIfV4DCYvxlg/GWl7EHm/OUZM4W71olWGq4Cy9sbocKjiJiIikhImayFgnUK3uaYqPVq+3OEeIJO3tRatQPyepzMbqTNaIiIjEg4maiNhaVDbx8HHz1zOnT0TLFk1sPdUpG7dshzY5DYOiLDdW37hlO6ZOfLzS1yciIiJhMFETEVMCZUtle9FKs7dvp/72cSIiIhIHVn2KiCmBSojKQkJUlvl4i2aNBH0de/t2cmN1IiIicWGPmoicPnMBQNmeLqETqCEDe+P8hcsWvXfcWJ2IiEh8uDyHCxwt8XW0srKgsBBjJ71s8xqRERq3TPKX676drhB7STcJi/GWD8ZaXsQeb+71KSBHgm2rMMBW0rVy9Tf4+dDv5sddOsXAYDAygRIRsb+5SViMt3ww1vIi9nhzHbUqZqswwLqy0npttM9XzYePj6rK2khERETixmICN7FXGKDXZyA1TW9zAVsmaURERFQae9TcxFRZeTTLsivz3IXLeHr6m+bHUyYMR+eOMVXaNiIiIpIGJmpuYqqsPGo1/FlYeGd8XMi10YiIiMj7sJjASdrkVGzaugNpuvQK98jUJqdi0+YfceOmFhev3LT4HpM06RD7BFQSFuMtH4y1vIg93iwmEICtSs7y9siMjAhHq0uH0ArASpSsjfbmnGfRsH6dqmoyERERSRgTNSc4UslpYjQaMfLJFwHcWbyWvWhERETkDCZqTihdyQnc2UHAeo/MI7//ifdWrDU/7vbAfZgwZkgVtZKIiIi8BRM1J9ir5Cy9xZP1shsfv/86AgKqub9xRERE5HWYqDnBViWnaY/MwsIijJk00+J8DnUSERFRZbDq00na5FR8u+Un6HQZCAkLwZCBvfHzod+x+X87zeeMHTUI8d07Cv7a5BlirxQiYTHe8sFYy4vY482qz0qw3lx9kPIq1FE+qDFmcpmhzi8+WQClkhs+EBERUeUxUauArSU5fGv5Ir57RzxjYxsoIiIiIqFw6LMCK1Z9hcTDx8s9Z9ZLCWh+d6NKvxaJk9i7y0lYjLd8MNbyIvZ4c+jTRbaW5FArSnLbQqOCvWhERETkNkzUKmBrSY5CowLhmlAsW/SKp5pFREREMsBZ7xUYMrA3goODcDTbF0ezS5K1iBphmPVSgodbRkRERN6OPWrlMBqNWLHqK2RklAx7hoZUR4vmjfHY4L6ooQn1bOOIiIjI68k2UbNecmPIwN4WG6unpunx9PQ3zY/ffO1ZNGxQspm62CckEhERkXeQZaJ26swFLFr6KfLz71SFnr9wGTOnT0RkRDh27D6Ez9dtBQD4+/th1fK5UKlUHmotERERyZXsEjVtcmqZJK3keBo2bP4Jf586h4zMbADA40MfxkN9unqimURERETyS9Q2btluTtJKL7kBAL/8esJ83pIFMxEZoany9hERERGZyK7qs/S6aNVVBotlNwCgQf3a+HL1O0zSiIiIyONk16NmvS6aackNABg1vB/6PHi/R9pFREREZE12idqQgb1x/sJlHE1OgxJGKGGEAQo899RoxMa09HTziIiIiMxkN/QZGRGOmdMnolnTu2CAAqGaUCxZMINJGhEREYkON2V3AddRkxfGW14Yb/lgrOVF7PG2tym77HrUiIiIiKTCq3vUiIiIiKSMPWoumDFjhqebQFWI8ZYXxls+GGt5kWq8magRERERiRQTNSIiIiKRYqLmgvj4eE83gaoQ4y0vjLd8MNbyItV4s5iAiIiISKTYo0ZEREQkUrLbQkooGzZswO7duxEcXLJ36PDhwxETE+PhVpGQTpw4gc8++wwGgwE9e/bEgAEDPN0kcqOpU6fC398fSqUSKpUK8+fP93STSEAffPABjh07hpCQECxevBgAkJWVhSVLliA5ORkRERF47rnnEBQU5OGWkhBsxVuq/28zUauEhx56CP369fN0M8gNDAYDVq9ejVmzZiE8PBwzZ85EbGws6tat6+mmkRu99tpr5ps4eZdu3bqhT58+WLFihfnY1q1b0apVKwwYMABbt27F1q1bMXLkSA+2koRiK96ANP/f5tAnkQ3nz59HzZo1ERUVBR8fH3Tq1AlHjhzxdLOIyEUtWrQo01t25MgRdO3aFQDQtWtXvse9iK14SxV71Cph+/btOHDgAKKjo/HEE094zR8FAWlpaQgPDzc/Dg8Px7lz5zzYIqoKb775JgDgwQcflGyFGDkuPT0dYWFhAIDQ0FCkp6d7uEXkblL8f5uJWjnmzZsHvV5f5viwYcPQq1cvDB48GACwfv16rF27FlOmTKniFhKRUObNmweNRoP09HS88cYbqF27Nlq0aOHpZlEVUSgUUCgUnm4GuZFU/99molaO2bNnO3Rez549sWDBAje3hqqSRqNBamqq+XFqaio0Go0HW0TuZopvSEgI2rdvj/PnzzNR83IhISHQ6XQICwuDTqfj/EQvFxoaav5aSv9vc46ai3Q6nfnr3377DfXq1fNga0hojRo1ws2bN6HValFUVITExETExsZ6ulnkJnl5ecjNzTV/ffLkSdSvX9/DrSJ3i42Nxf79+wEA+/fvR/v27T3cInInqf6/zQVvXbR8+XJcunQJCoUCERERmDhxonmuA3mHY8eO4fPPP4fBYED37t0xaNAgTzeJ3OTWrVtYtGgRAKC4uBhdunRhvL3Me++9h1OnTiEzMxMhISEYOnQo2rdvjyVLliAlJYXLc3gZW/H++++/Jfn/NhM1IiIiIpHi0CcRERGRSDFRIyIiIhIpJmpEREREIsVEjYiIiEikmKgRERERiRQTNSIiIiKRYqJGROSi+fPnY8WKFRbHbt68iQkTJiAnJ0fQ15ozZw727dsn6DV/+uknzJ8/X9BrEpGwuIUUEVWpX3/9FTt37sTFixdRWFiIunXrYtCgQV6z88PXX3+NXr16ISAgwKHztVotvv32W/z999/m7Yw6deqEwYMHw9fX1+V2FBQU4OOPP8bFixdx/fp13H333ZgzZ47FOT179sSWLVtw+vRpNG/e3OXXIiL3YaJGRFXq1KlTaNmyJYYNG4agoCD8/PPPWLhwIebMmeORZKGoqAg+PsLcClNSUnDkyBE88cQTDj/nxo0bMBgMGD9+PGrVqoXr16/jo48+QmZmJiZNmuRyWwwGA9RqNfr06YNjx47Z7OFTq9Xo3LkzfvzxRyZqRCLFRI2IBJORkYHp06fjwQcfxJAhQwAAly9fxssvv4ynnnoKHTt2xNixYy2eM2TIEBw7dgxHjhypdLIwZ84c1K5dG2q1GgcOHAAA9OjRAyNGjIBSWTLTY+rUqejatStSUlLw22+/oXXr1vjvf/+Lf/75B1999RUuXLiAwMBAxMbGYsSIEeaesfz8fHzyySc4fPgw/P398Z///KfM6ycmJqJevXqoUaOG+diHH36Ic+fOYf78+fD19YXBYMCcOXMQEBCAGTNmoG3btmjbtq35/KioKAwaNAjr16+3m6gVFBRg5syZaNSoEaZMmQIASEtLwwsvvID+/fujX79+8Pf3x8SJEwGUxMDeUGxsbCzeeOMN5Ofnw8/Pz8nfOBG5G+eoEZFggoODMWXKFGzevBlnz55FQUEBli5dis6dO6Njx452n5eXl4fAwEBB2nDw4EEYjUa88cYbmDBhAnbt2oUffvjB4pz/+7//Q506dTB//nwMHz4cV65cwRtvvIHY2FgsXLgQ06dPx6VLl/Dhhx+an/PFF1/g5MmTeP755zF79mxcunQJp0+ftrjumTNnEB0dbXFs7NixKC4uxtq1awEAmzdvxs2bNzF58mS7P0Nubm65vw9fX188/fTTOHToEH755RcYjUasWLECDRo0wCOPPOLw7woAGjVqhOLiYpw9e9ap5xFR1WCPGhEJqm3btujduzeWLVuGFi1aoLCwEOPGjbN7/k8//YTU1FQ88MADgrx+WFgYxo4dC4VCgTp16uDmzZvYtm0bHn74YfM5zZs3R//+/c2P33//fXTq1MkiyZkwYQJefPFFpKenw8/PD3v27MHkyZPNvV9TpkxBQkKCxWsnJyejYcOGFsf8/f0xbdo0zJ49G9WrV8fWrVvx4osvIiQkxGb7k5OT8f3332PgwIHl/pwNGjTA448/jlWrVuHs2bO4ePEiFi1aBIVC4civyczPzw8BAQFITk526nlEVDWYqBGR4EaMGIETJ05g//79eOONN+Dv72/zvMOHD+PLL7/Es88+i4iICLvXe+utt8y9VxEREXj33XftntukSROLZKVp06ZYv349cnJyzMOYjRo1snjOv//+i6SkJCQmJpa53q1bt+Dr64uioiI0bdrUfNzf3x/169e3OLegoABqtbrMNRo3boxBgwZh48aN6NWrF9q1a2ez7Xq9Hm+99RZatWqFhx56yO7PaNK3b18cPXoU//d//4fnnnsOGo2mwufY4uvri4KCApeeS0TuxUSNiASXnJyM1NRUKBQK3Lp1C02aNClzzuHDh/H+++/jqaeeqrDiMyEhwZxIqFSqSrfPei6W0WhEjx49LHrdTDQaDW7cuOHQdYODg5GdnV3muNFoxJkzZ6BUKnHr1i0YjcYyPV96vR5z585FvXr1MG3aNId6xjIzM3Ht2jUolUokJSU51EZbsrKyEBwc7PLzich9OEeNiARVVFSEpUuX4t5778WoUaOwevVqpKSkWJyTmJiI5cuXY8qUKYiLi6vwmhqNBjVr1kTNmjXL7XkDgHPnzsFoNFo8DgsLK3e5jLvuugvXrl0zv0bpf76+vqhZsyZUKhXOnTtnfk5eXh6uXr1qcZ2GDRvi2rVrZa6/bds2XLx4EXPnzsW5c+fw448/Wnxfp9Nhzpw5qFOnDp555hmHk9EPP/wQNWvWxLPPPosNGzbg33//deh5pSUlJaGwsBB33XWX088lIvdjokZEglq/fj0yMjIwYcIE9O3bF40bN8b7778Pg8EAADh06BCWL1+OESNGoEWLFtDr9dDr9cjKyhLk9XU6HdasWYMbN27g8OHD+N///lfhMGL//v1x/vx5rFq1ChcvXkRSUhJ+//13rFq1CkDJMGePHj2wbt06nDx5ElevXsWHH35o/plM2rRpg3PnzqG4uNh87NKlS/jmm28wadIk3H333Rg/fjzWrVtnTvLS0tIwZ84chIaGYsyYMcjMzDT/TqyvX9qOHTtw6tQpTJs2DXFxcejWrRuWLVuG/Px88znXrl3DpUuXkJmZiby8PFy6dAmXLl2yuM6ZM2cQFRWFWrVqOfT7JaKqxaFPIhLMqVOnsG3bNsyaNctctTh16lRMnz4d3333HQYOHIidO3eiuLgYa9aswZo1a8zPbdGiRZkFWV3RpUsXGAwGvPzyy1AoFHaHNEtr0KAB5s6di2+++QZz5syBwWBAZGQk7rvvPvM5o0aNQn5+PhYuXAg/Pz/06dPHIikCgJiYGPj6+uKPP/5ATEwMCgoKsHz5cnTu3BkdOnQwt+/48eNYtmwZ3nrrLZw8eRI3b97EzZs3zUttmLz//vuIjIws094bN27giy++wPjx483fHzNmDF566SV8/vnn5mU53n77bYsigRdffBEAsGHDBvOxQ4cOoWfPnhX+XonIMxTG0mMEREQSNmfOHNSrVw9PPvmkx9qwY8cOHD58GK+++qqg150zZw66deuGbt26CXbNK1euYN68eVi6dKnDOykQUdVijxoRkYDi4+ORlZVlUWUqVjqdDlOnThV9O4nkjIkaEZGAlEolBg0a5OlmOKRNmzaebgIRVYBDn0REErBv3z40bNiwzIK6ROTdmKgRERERiRSX5yAiIiISKSZqRERERCLFRI2IiIhIpJioEREREYkUEzUiIiIikWKiRkRERCRSTNSIiIiIRIqJGhEREZFIMVEjIiIiEikmakREREQixUSNiIiISKSYqBERERGJFBM1IiIiIpFiokZEREQkUkzUiIiIiESKiRoRERGRSDFRIyIiIhIpJmpEREREIsVEjYiIiEikmKgRERERiRQTNSIiIiKRYqJGREREJFJM1IiIiIhEiokaERERkUgxUSMiIiISKSZqRERERCLl4+kGEBGVVpyVjvR925D372kolCr41m6AkB794RMa7ummERFVOYXRaDR6uhFERABQmKpF8tfvI6TrwwhoHgOFjw9yL5yC/qcNqDFsCtThkeZzjUYjYDRCofSegQFjcTEUKpWnm0FEIsJEjYhE49ZnCxH2n2HwrVnP4nhh8g3otm+E5qHHcWvNYvjVjUbBjUsIaHkfDHnZ0Dw0AgCQeWQfCrU3ENgmDqmbP0Wtya/CaDQi6cO5JYleRG3ot29A7tk/AYUCQe27Irjjg8i9cAq6H78BDAb41rkL4f2fgMJHjWsLn0dg6zjknj0JhVIFzYAx0O/YhKK0Wwju8h9U79ADef+ehn73Vij9A1B46xoCWrWHOqouMhN3wlhUiIgRT0MdHomc08eRvu97GIuLoAoIQo2hk6AKCoF+9xYUpWlRlJYMVWg4Ih6b7IlfPRGJFIc+iUgUClOSoAysDt+a9ZBz5gTSd22BjyYCgBERj08DFEoUZ2ehKPUWajw6Hn71G8OQn4eb78+Gsc9jUKh8kH3sIDT9R8O3Zj1Ua94O+l2bYSgsQGDbTvCNqovMX/egSJeCWk+9DoVKheKcLBgLC5D67SeIGvci1DVqImXjKmT+ugfBnXsDAHxCw1F72jyk/d9XSP32E9Sc9AqMRYW4sXQWqnfoAQAoSLqC2s+8DVVAIK4vegFBsV1Ra8pryEjcgczDO6F5aAT8GjZFzYTZUCgUyDyyH+kHfoCm7/CSn117A1ETX4FS7eupXz8RiRQTNSIShYKbV+BXrxGMBgPS93yHqCdfhCEvFzeWzQIAqMOjABihCg2HX/3GAAClnz/8o5sj98wfUEfWgrG42NwbF9q9P25+OBcKHzU0D48EAORd+BtB93U3Dy+qAoJQcPMKfMJqQF2jJgAgMKYLMg/vNidq1Zq1AwD4RtWFsSAPSr9qgF81KHx8YMjNBgD41YmGT3AoAMAnPBL+TVqWtDmqLvL+PQ0AKE5PQ8o3H6A4Mx3G4iL4hNUw/+zVmrVjkkZENjFRIyLRUCiUMORkwkcTAWW1QCirBUIdWRsAUJydAWNhAZRqP4vnBMV2Rfq+bVBH1EJQTBfz8eKcLBgL8oDiYhiLCqHwtXyew23yuX2bVCqgUKlLNxZGg8HynNvHFSqf218qgNvnpG37EsGd+yCgebuS4dI9W+88xcW2EZH3855ZuEQkab5RdZF/7V8oA6qjKC0ZhrwcFOlTUZh8AwVJV2HIyrBZ+elXrxGK09OQffIwAtrEmY+nfbcGofGDENgmDvqfNgAA/Bvdg6zf9sFYXAygJJlT16iJIl0KClNvAQCyjx+C/113C/7zGfJyoQoOAwBkHT8k+PWJyDuxR42IREEdWbskMUu5iZBuj+DWJwvgo4lAQLN2yDj4E8IffRLGwgKbzw1o1R4FN69AVS0QQEkipFCpENimI4wGA5I+egO5F04hKLYrClNv4eby2YBKhaDYrgjuGI/wR8cj+esV5mKC6vd1F/znC+0xAClfr4CyWgD8o5ujSJcs+GsQkfdh1ScRiUah9gZSNnyE0D5D4N/oHgBAwY3LKM7QIaB5O7vP065dguqde6NaoxZV1VQioirBRI2IRKUoPQ3pe/+H/Gv/AgYD/OpGI6R7P4vJ9yaG3Gzc/PB1+Naqh4jhT3mgtURE7sVEjYiIiEikWExAREREJFJM1IiIiIhEiokaERERkUgxUSMiIiISKSZqRERERCL1/x0/tOpgowQRAAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 720x1296 with 3 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x1296 with 3 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Residualize in the opposite order\n",
"\n",
"create_animation(\n",
" y=df['y'],\n",
" x1=df['x1'],\n",
" x2=df['x2'],\n",
" go_fast=False,\n",
" first_do_y=True,\n",
" title='FWL Theorem Demo\\n(residualize y then x_2)',\n",
" filename='fwl_x2_reverse.gif'\n",
")\n",
"\n",
"create_animation(\n",
" y=df['y'],\n",
" x1=df['x2'],\n",
" x2=df['x1'],\n",
" go_fast=False,\n",
" first_do_y=True,\n",
" title='FWL Theorem Demo\\n(residualize y then x_1)',\n",
" filename='fwl_x1_reverse.gif'\n",
")"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"frame: 25 / 380\n",
"frame: 50 / 380\n",
"frame: 75 / 380\n",
"frame: 100 / 380\n",
"frame: 125 / 380\n",
"frame: 150 / 380\n",
"frame: 175 / 380\n",
"frame: 200 / 380\n",
"frame: 225 / 380\n",
"frame: 250 / 380\n",
"frame: 275 / 380\n",
"frame: 300 / 380\n",
"frame: 325 / 380\n",
"frame: 350 / 380\n",
"frame: 375 / 380\n",
"Done! Saved to simpsons_paradox.gif\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x1296 with 3 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# A more classical simpson's paradox animation.\n",
"\n",
"np.random.seed(69696969)\n",
"\n",
"df = pd.DataFrame([], index=range(120))\n",
"\n",
"df['group'] = (df.index // 30) + np.random.normal(0, 0.04, size=120)\n",
"df['x'] = 3.82 + np.random.uniform(0, 10, size=120) + df['group'] * 23.63\n",
"df['y'] = -4.2 - (5.3 * df['x']) + (217.21 * df['group']) + np.random.normal(0, 2, size=120)\n",
"\n",
"create_animation(\n",
" y=df['y'],\n",
" x1=df['group'],\n",
" x2=df['x'],\n",
" go_fast=False,\n",
" first_do_y=False,\n",
" title='Simpson\\'s Paradox and FWL',\n",
" filename='simpsons_paradox.gif',\n",
")"
]
}
],
"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": "3.8.5"
}
},
"nbformat": 4,
"nbformat_minor": 4
}
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