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+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Building Custom Ensembles\n",
+ "\n",
+ "TimeCopilot ships a built-in [`MedianEnsemble`](../api/models/ensembles.md) that combines several models by taking the median of their forecasts. But you are not limited to it: any aggregation you can think of can be packaged as a reusable ensemble.\n",
+ "\n",
+ "This tutorial shows how to build your own ensemble from scratch and run it with the low-level `TimeCopilotForecaster` API. We'll implement a `WeightedEnsemble` that plugs in your own weighting scheme."
+ ],
+ "id": "a1b2c3d0"
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## The ensemble contract\n",
+ "\n",
+ "An ensemble in TimeCopilot is just a `Forecaster`. To build your own you only need to:\n",
+ "\n",
+ "1. Subclass `Forecaster`.\n",
+ "2. Set `self.alias` (the name of your ensemble's output column).\n",
+ "3. Implement `forecast(...)`, returning a DataFrame with `unique_id`, `ds`, and a column named `self.alias`.\n",
+ "\n",
+ "That's it. The base class gives you `cross_validation` and `plot` for free, and your ensemble can be used anywhere a `Forecaster` is expected. The built-in `MedianEnsemble` follows exactly this pattern: it wraps a `TimeCopilotForecaster` internally to get one column per model, then aggregates those columns."
+ ],
+ "id": "a1b2c3d1"
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Imports"
+ ],
+ "id": "a1b2c3d2"
+ },
+ {
+ "cell_type": "code",
+ "metadata": {},
+ "source": [
+ "import pandas as pd\n",
+ "\n",
+ "from timecopilot import TimeCopilotForecaster\n",
+ "from timecopilot.models.utils.forecaster import Forecaster\n",
+ "from timecopilot.models.foundation.chronos import Chronos\n",
+ "from timecopilot.models.stats import AutoARIMA, SeasonalNaive"
+ ],
+ "execution_count": null,
+ "outputs": [],
+ "id": "a1b2c3d3"
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Define a custom `WeightedEnsemble`\n",
+ "\n",
+ "Our ensemble takes a list of base models and an optional list of `weights`. Internally it delegates to `TimeCopilotForecaster`, which returns one forecast column per model (named after each model's alias). For every timestamp we then combine those columns into a single prediction by multiplying each model's forecast by its weight and summing the results. When no weights are given, every model gets the same weight, which is just the plain average.\n",
+ "\n",
+ "The weights only express *relative* importance, so you do not have to pass fractions that add up to 1. The ensemble normalizes them for you: it divides each weight by the sum of all weights before combining. That is why we can use whole numbers like `[2, 1, 1]` instead of `[0.5, 0.25, 0.25]`. Both mean exactly the same thing: the first model counts twice as much as each of the other two. Writing `[2, 1, 1]` is easier to read and to tweak, and you never have to recompute the fractions when you add or remove a model.\n",
+ "\n",
+ "This keeps the example focused on point forecasts. To also produce quantiles, you would aggregate the per-model `{alias}-q-{pct}` columns the same way and use `QuantileConverter`, exactly as the built-in `MedianEnsemble` does."
+ ],
+ "id": "a1b2c3d4"
+ },
+ {
+ "cell_type": "code",
+ "metadata": {},
+ "source": [
+ "class WeightedEnsemble(Forecaster):\n",
+ " def __init__(\n",
+ " self,\n",
+ " models: list[Forecaster],\n",
+ " weights: list[float] | None = None,\n",
+ " alias: str = \"WeightedEnsemble\",\n",
+ " ):\n",
+ " if weights is not None and len(weights) != len(models):\n",
+ " raise ValueError(\"`weights` must have the same length as `models`.\")\n",
+ " self.tcf = TimeCopilotForecaster(models=models, fallback_model=None)\n",
+ " self.weights = weights\n",
+ " self.alias = alias\n",
+ "\n",
+ " def forecast(\n",
+ " self,\n",
+ " df: pd.DataFrame,\n",
+ " h: int,\n",
+ " freq: str | None = None,\n",
+ " level: list[int | float] | None = None,\n",
+ " quantiles: list[float] | None = None,\n",
+ " ) -> pd.DataFrame:\n",
+ " # one forecast column per base model\n",
+ " fcst_df = self.tcf.forecast(df=df, h=h, freq=freq)\n",
+ " model_cols = [model.alias for model in self.tcf.models]\n",
+ " weights = self.weights or [1.0] * len(model_cols)\n",
+ " weights = pd.Series(weights, index=model_cols)\n",
+ " weights = weights / weights.sum()\n",
+ " out = fcst_df[[\"unique_id\", \"ds\"]].copy()\n",
+ " out[self.alias] = fcst_df[model_cols].mul(weights, axis=1).sum(axis=1)\n",
+ " return out"
+ ],
+ "execution_count": 2,
+ "outputs": [],
+ "id": "a1b2c3d5"
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Load data\n",
+ "\n",
+ "We use the classic AirPassengers series. The DataFrame must contain `unique_id`, `ds`, and `y` columns."
+ ],
+ "id": "a1b2c3d6"
+ },
+ {
+ "cell_type": "code",
+ "metadata": {},
+ "source": [
+ "df = pd.read_csv(\n",
+ " \"https://timecopilot.s3.amazonaws.com/public/data/air_passengers.csv\",\n",
+ " parse_dates=[\"ds\"],\n",
+ ")\n",
+ "df.head()"
+ ],
+ "execution_count": 3,
+ "outputs": [
+ {
+ "output_type": "execute_result",
+ "data": {
+ "text/html": [
+ "
\n",
+ "\n",
+ "
\n",
+ " \n",
+ " \n",
+ " \n",
+ " unique_id \n",
+ " ds \n",
+ " y \n",
+ " \n",
+ " \n",
+ " \n",
+ " \n",
+ " 0 \n",
+ " AirPassengers \n",
+ " 1949-01-01 \n",
+ " 112 \n",
+ " \n",
+ " \n",
+ " 1 \n",
+ " AirPassengers \n",
+ " 1949-02-01 \n",
+ " 118 \n",
+ " \n",
+ " \n",
+ " 2 \n",
+ " AirPassengers \n",
+ " 1949-03-01 \n",
+ " 132 \n",
+ " \n",
+ " \n",
+ " 3 \n",
+ " AirPassengers \n",
+ " 1949-04-01 \n",
+ " 129 \n",
+ " \n",
+ " \n",
+ " 4 \n",
+ " AirPassengers \n",
+ " 1949-05-01 \n",
+ " 121 \n",
+ " \n",
+ " \n",
+ "
\n",
+ "
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+ ],
+ "text/plain": [
+ " unique_id ds y\n",
+ "0 AirPassengers 1949-01-01 112\n",
+ "1 AirPassengers 1949-02-01 118\n",
+ "2 AirPassengers 1949-03-01 132\n",
+ "3 AirPassengers 1949-04-01 129\n",
+ "4 AirPassengers 1949-05-01 121"
+ ]
+ },
+ "metadata": {},
+ "execution_count": 3
+ }
+ ],
+ "id": "a1b2c3d7"
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Run your ensemble\n",
+ "\n",
+ "We combine a small foundation model (Chronos) with two classic baselines, giving Chronos a larger weight."
+ ],
+ "id": "a1b2c3d8"
+ },
+ {
+ "cell_type": "code",
+ "metadata": {},
+ "source": [
+ "models = [\n",
+ " Chronos(repo_id=\"amazon/chronos-t5-tiny\", alias=\"Chronos\"),\n",
+ " SeasonalNaive(),\n",
+ " AutoARIMA(),\n",
+ "]\n",
+ "\n",
+ "ensemble = WeightedEnsemble(models=models, weights=[2.0, 1.0, 1.0])\n",
+ "fcst_df = ensemble.forecast(df=df, h=12)\n",
+ "fcst_df.head()"
+ ],
+ "execution_count": 4,
+ "outputs": [
+ {
+ "output_type": "stream",
+ "text": [
+ "`torch_dtype` is deprecated! Use `dtype` instead!\n",
+ "100%|██████████| 1/1 [00:00<00:00, 3.09it/s]\n"
+ ],
+ "name": "stdout"
+ },
+ {
+ "output_type": "execute_result",
+ "data": {
+ "text/html": [
+ "\n",
+ "\n",
+ "
\n",
+ " \n",
+ " \n",
+ " \n",
+ " unique_id \n",
+ " ds \n",
+ " WeightedEnsemble \n",
+ " \n",
+ " \n",
+ " \n",
+ " \n",
+ " 0 \n",
+ " AirPassengers \n",
+ " 1961-01-01 \n",
+ " 438.240814 \n",
+ " \n",
+ " \n",
+ " 1 \n",
+ " AirPassengers \n",
+ " 1961-02-01 \n",
+ " 430.611206 \n",
+ " \n",
+ " \n",
+ " 2 \n",
+ " AirPassengers \n",
+ " 1961-03-01 \n",
+ " 457.616318 \n",
+ " \n",
+ " \n",
+ " 3 \n",
+ " AirPassengers \n",
+ " 1961-04-01 \n",
+ " 484.624809 \n",
+ " \n",
+ " \n",
+ " 4 \n",
+ " AirPassengers \n",
+ " 1961-05-01 \n",
+ " 513.398132 \n",
+ " \n",
+ " \n",
+ "
\n",
+ "
"
+ ],
+ "text/plain": [
+ " unique_id ds WeightedEnsemble\n",
+ "0 AirPassengers 1961-01-01 438.240814\n",
+ "1 AirPassengers 1961-02-01 430.611206\n",
+ "2 AirPassengers 1961-03-01 457.616318\n",
+ "3 AirPassengers 1961-04-01 484.624809\n",
+ "4 AirPassengers 1961-05-01 513.398132"
+ ]
+ },
+ "metadata": {},
+ "execution_count": 4
+ }
+ ],
+ "id": "a1b2c3d9"
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Plot\n",
+ "\n",
+ "`plot` is inherited from `Forecaster`, so it works on your custom ensemble out of the box."
+ ],
+ "id": "a1b2c3da"
+ },
+ {
+ "cell_type": "code",
+ "metadata": {},
+ "source": [
+ "ensemble.plot(df, fcst_df)"
+ ],
+ "execution_count": 5,
+ "outputs": [
+ {
+ "output_type": "execute_result",
+ "data": {
+ "image/png": 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RERER1Yr850JmD16JtMmU/5CQ6UlISMCwYcNUu1RpuXvs2DHVUlVavd53332GXh4RERERkcm4UjUYkbm/rxk8EhERERFRrWzZsgWDBw++4m1kbuO0adMabU2kOzL3U+Y2fvPNN6qFjouLi5oZKjM/ZW4pERERERER0dUweCQiIiIiMiMxMTF623fHjh2vOuevbdu2ejs+6ZdUq/7222+GXgYRERERERGZMAaPRERERERU64o4acVJRERERERERHQpbDRMRERERERERERERERERA3GikcAFRUVSExMhJubG6ysrAy9HCIiIiIiIiIiIiIi0oHKykrk5uYiODgY1tasxSLSNwaPgAodw8LCDL0MIiIiIiIiIiIiIiLSg/j4eISGhjZ66FlYWg5DcLKzqXWh1Y8//ojHHntMZSUODg7Vl48bN04VbM2dO1ePKyVzw+ARUH9wtL943N3dDb0cIiIiIiIiIiIiIiLSgZycHFV4pM0BGpOEjm1eXgFDODJzJJztaxcB3XTTTXj44YexcOFCtS1SUlKwZMkS/Pvvv3peKZkbBo9AdeovoSODRyIiIiIiIiIiIiIi88Ixa5fn5OSE2267Dd9//3118Dhv3jyEh4dj0KBBhl4emRgGj0RERERERERERERERHpodyqVh4Y6dl3cfffd6N69OxISEhASEoI5c+Zg2rRpDGypzhg8EhERERERERERERER6ZiEdrVtd2ponTt3RseOHdW8xxEjRuDw4cOq1SpRXZnGO56IiIiIiIiIiIiIiIj05q677sJHH32kqh6HDRumZmMS1ZV1ne9BREREREREREREREREZkXmPJ49exazZ8/GnXfeaejlkIli8EhERERERERERERERGThPDw8MGHCBLi6umLcuHGGXg6ZKAaPREREREREREREREREpNqsTpo0CQ4ODoZeCpkozngkIiIiIiIiIiIiIiKyYJmZmVi3bp06ffHFF4ZeDpkwBo9ERERERERERERERFVyysoxNzEd4wM8EeRgb+jlEDWKzp07q/Dx7bffRsuWLQ29HDJhDB6JiIiIiIiIiIiIiKp8EZeCj2KT8fu5DCzt2gIuNjaGXhKR3sXExBh6CWQmOOORiIiIiIiIiIiIiKjKmowcdR6dX4Sno8+isrLS0EsiIjIZDB6JiIiIiIiIiIiIiACkl5ThYG6h2raxAv5KzsQPiemGXhYRkclg8EhEREREREREREREBGBjZi6kvrG1iyNebBqsLnvpRAL25OQbemlERCaBwSMREREREREREREREYD1mbnqfIC3G+4L88NoPw+UVlbi7kMxyCgtM/TyiIiMHoNHIiIiIiIiIiIiIrJ4MstxQ4YmeBzk5QYrKyt82CockU72SCguxYwjsajgvEcioiti8EhEREREREREREREFu9kQbEKGO2trNDT01Vd5m5rg2/bRcLJ2gprM3LxYUyyoZdJRGTUGDwSERERERERERERkcXTtlnt6ekCZ5v/f3TextUJb0WFqe33Ys5hXUaOwdZIZCrWrVunqoazsrJqfZ///ve/6NSpExrLoEGD8Oijj8ISnus5c+bA09OzUdbD4JGIiIiIiIiIiIiILN76qjarA7zcLrruliBvTA7ygTRafeBILBKKSgywQiL9mDVrFtzc3FBW9v85pnl5ebCzs1Ph3KVCrlOnTl1xn3369EFSUhI8PDxMJiyUfctju/B033336eV45orBIxERERERERERERFZtNKKSmzJylPbg7wvDh7Fay1C0MHVCRml5bj7cAxKKioaeZVE+jF48GAVNO7atav6so0bNyIwMBDbt29HUVFR9eVr165FeHg4mjVrdsV92tvbq/tLcGdK7r77bhWY1jy98847hl6WSWHwSEREREREREREREQWbXdOPvLLK+BjZ4u2rk6XvI2jjTVmt2sCD1sb7MkpwCsnExt9nWRaKisrkV9ebpCTHLu2WrZsiaCgIFXNqCXbY8eORWRkJLZt23be5RJUVlRU4M0331TXOzk5oWPHjvjzzz+v2P5z9uzZCAsLg7OzM2644QZ88MEHl2z/OXfuXDRp0kRVS06cOBG5uZpq5GnTpmH9+vX4+OOPq6sRY2Ji1HWHDh3CtddeC1dXVwQEBOD2229HWlpa9T7z8/MxZcoUdb081vfff/+Sz4WsTQLTmid3d3d1nRxLjjl//nz1HMht5XFv3bq1+v6xsbG47rrr4OXlBRcXF7Rt2xZLly6tvv5q65Sqy4ceekhVdco+5DbyvMn677jjDlWZ2rx5cyxbtuyitW/evBkdOnSAo6MjevXqpY51Jf/88w+6dOmibt+0aVO88sor51W91pdtg/dARERERERERERERGQWbVZdYX2FCq0IJwd82jocUw6ewbcJaejh6YKx/l6NuFIyJQUVFWi24aBBjn1qQHu42NjU+vYSpEk147PPPqt+lu2nn34a5eXlalsCscLCQlUBeeedd6rQcd68eapNa4sWLbBhwwZMnjwZfn5+GDhw4CVDMWlZ+vbbb+P666/HqlWr8NJLL1287lOnsGDBAixevBiZmZm4+eab8dZbb+H1119XgePx48fRrl07zJw5U91ejifh5pAhQ3DXXXfhww8/VOt85pln1H3XrFmjbvfUU0+p0FLCNn9/fzz//PPYs2dPvWZKvvDCC3jvvffU45btW2+9FSdPnoStrS1mzJiBkpIS9XxI8HjkyBEVMorarFP88MMP6rnfsWMHfvvtN9x///34+++/VVgr65b7SmAZFxenwk8teYzyHElYKreTAFSeL2mZeyGpaJUg9pNPPkH//v3V837PPfeo6/7zn/+gIVjxSEREREREREREREQWbX1mVfB4mTarNY3w9cBD4f5q+5PYZL2vjagxSPAo4aBUvEmF4d69e1WAOGDAgOpKSKnsKy4uViHkG2+8ge+++w4jR45U1XJSjSjB41dffXXJ/X/66aeq0u/JJ59EVFQUHnjgAfXzhaSScs6cOSpclEBMArbVq1er66QCUlq41qxKtLGxwWeffYbOnTurNbVq1Upty9okMJXgTdrIfvvttyosHDp0KNq3b6/CvUtV933xxRcqKKx5+umnn867jTyG0aNHq8chVYJS5SjBo4iLi0Pfvn3VMeR5GTNmjHoOxdXWqSVVlC+++KIKNp977jlVkejr66vawMplL7/8MtLT03HgwIHz1iWB4fDhw6sfX3JysgosL0XWLSHz1KlT1Trlfq+++uplX7+6YMUjEREREREREREREVmsrNIy7MspUNsDva4ePIq7Qv3waVwKjuYVIbesHG62ta8sI8vhbG2tKg8Ndey6kDBR2nnu3LlTVRpKqKatXpQWnzLnUQJICakkyCsoKFBhVU1S6Sdh2qVER0erir2aevTooSoba5IWq9JOVEvaoqakpFxx7fv371fhnbaysCap5JPKQllbz549qy/39vZWLWYvNGnSJFXFWJO0O61J2pnWXJ+QNUqY+PDDD6sKxX///RfDhg3DhAkTqm9/tXXKc37h/iVY9fHxUWHiheu58Hnp3bv3RY/v6NGjl33OJGiWSlItqW6V11le25qVlHXF4JGIiIiIiIiIiIiILNamzDxUAGjh7IBgR/ta3SfAwQ5hjvaILyrB3pyCWlVKkuWReYB1aXdqSDI3MDQ0VAVjEjxq26UGBweruYxbtmxR10mrUAkexZIlSxASEnLefhwcHBq0jgvbgspzKFWQVyLrkbai0sb1QhIMaqsRa0OqKuW5qO0aZX1Cu8a77rpLVYHKcyPho7SklXmSMrfxauu81P61x7jSMetD1iJVj+PHj7/oOqmwbAgGj0REREREREREREQES2+zOrCO4WF3DxcVPO7KyWfwSGbTblWqGiV4lHmBWtIqdNmyZWrmoFTztWnTRgWM0lb0UvMcL0Wq76SasqYLf64NabUqlXk1denSBX/99ZeqlpQ5ixdq1qyZCu5kPmV4eLi6TB6jtDet7frrIiwsTM2zlJO0Sp09e7YKHq+2zobatm3bRY+vdevWl7ytrEWqUK8WstYHZzwSERERERERERER6dGBs1m4bfY2LNqfaOil0AUqKyuxLiO3Tm1Wtbq6a1oR7szO18vaiAwRPG7atAn79u07L5CTbZn9J+1K5TbSClXmHD722GNqlqC0Cd2zZ4+a4yg/X4oEb0uXLsUHH3yAEydOqP1JmKmt3qstCe0kQIyJiUFaWpqq+psxYwYyMjJw6623qjBT1rNixQrVIlZCSmltOn36dBWmrlmzBocOHVIzKa0v0Y5W2oyeO3fuvJOEeLX16KOPqmOfOXNGPSdSJaoN/662zoaaOXOmmoepfXwyF3LcuHGXvK3Mifzxxx9V1ePhw4dVS9Zff/1VzZZsKAaPRERERERERERERHr0/eYYbDmVjod+2Yvn5h9AYUnDP2Am3YgpLFFVi3ZWVujjefHctatVPIo9OQWoqKzU0wqJGo+EijIPUargas41lOAxNzdXVS1qW4K++uqreOmll1QrUQnWrrnmGtVeNDIy8pL77tu3L2bNmqWCx44dO2L58uUquKxrW08JPGXuoVRdygxKqbqUdrAyr1DCuxEjRqh5iBIAenp6VoeL7777Lvr3769ancrsxX79+qFr164X7V+qE+Ux1jxJUFhb5eXlKmDUPicyt/GLL75Q19VmnQ3x1ltv4ZFHHlGPSwLTRYsWqQrRS5F2sDJfU9rBdu/eHb169cKHH36IiIiIBq/DqlK+0mHhcnJyVN/e7OxsuLu7G3o5REREREREREREZEb6vrUGCVmF1T9HBbji89u6oEUA23Ma2pyENDx7/Cx6e7rg784t6nTfsopKtNh4EIUVFVjfoxVaujRsLhqZ/uf/RUVFqtJNwreGzsmzBHfffTeOHTuGjRs3GnoppMP3NyseiYiIiIiIiIiIiPTkbGaBCh1tra3w9e1d4evqgOPJebjus034fWe8avVJhrO+nm1Whbymnavare5iu1Wiq3rvvfewf/9+nDx5srot69SpUw29LNIxBo9EREREREREREREerIzJkOdtw3xwIi2gVj2SH/0b+GLotIKPP3XATz22z7kFZcZepkWSSoWN2VqgscB3vWrPu2mDR5zGDwSXc2OHTswfPhw1WJU2q5+8sknuOuuuwy9LNIxW13vkIiIiIiIiIiIiIg0dpzJVOc9I73VuZ+bA364owe+XH8KH6w8jgX7ErH/bDY+vbUz2oV4GHi1lmVfbgFyyyvgaWuDjm6aALGuulXNeWTFI9HV/f7774ZeAjUCVjwSERERERERERER6cmOM+nqvHsTTfAorK2tMGNwc/x2Ty8EeTjiTFo+xn+xBT9siWHr1Ua0rqrNaj8vV9hYWdVrH13dNcHjiYJiZJaycpWIyODBY0JCAiZPngwfHx84OTmpEttdu3ZVXy9/0b788ssICgpS1w8bNgwnTpw4bx8ZGRmYNGmSGgzr6emJ6dOnIy8vzwCPhoiIiIiIiIiIiEgjLa8Yp1I1lXDdm3hddH23Jt5Y+nB/DGvtj5LyCvxn4WF8vPr8zz5JfzZUtVkd5O1e73342NuimZOD2t6dU6CztZFp4xcIyJLf1wYNHjMzM9G3b1/Y2dlh2bJlOHLkCN5//314ef3/L+F33nlH9fmVfr/bt2+Hi4sLRo4ciaKiourbSOh4+PBhrFy5EosXL8aGDRtwzz33GOhREREREREREREREQG7quY7tgxwg6ez/SVv4+Vij9lTuuGxYVHq5wV7Exp1jZYqp6wcu6vmMg7wcm3QvrTtVnez3arFk6xDFBQwhCbzo31fa9/nRjnj8e2330ZYWBi+//776ssiIyPPS08/+ugjvPjiixg7dqy67Mcff0RAQAAWLFiAiRMn4ujRo1i+fDl27tyJbt26qdt8+umnGDVqFN577z0EBwcb4JERERERERERERGRpdt+RhM89qia73g5VlZWmNanCT5cdRwx6QVIzyuGj6umio70Y0tmHsorgaZODgivqlisr24ezvjtXAZ2Mni0eDY2NqorY0pKivrZ2dlZ/fkmMmWS1UnoKO9reX/L+9xog8eFCxeq6sWbbroJ69evR0hICB544AHcfffd6vozZ87g3Llzqr2qloeHB3r27ImtW7eq4FHO5YFqQ0cht7e2tlYVkjfccMNFxy0uLlYnrZycHL0/ViIiIiIiIiIiIrIsO6sqHrtfJXgUHs52aObnolqz7ovPwtDWAY2wQsu1rqrN6gBvtwbvq1vVnMc9uQUoq6iErTWDJksWGBiozrXhI5G5kCxO+/422uDx9OnT+PLLL/H444/j+eefV1WLDz/8MOzt7TF16lQVOgqpcKxJftZeJ+f+/v7nXW9rawtvb+/q21zozTffxCuvvKK3x0VERERERERERESWLbeoFEcSNQUPPZpcPXgUncO9VPC4Jy6TwaOebcjQBI8DG9hmVbR0cYSbjTVyyytwLL8Q7dycdbBCMlVS4RgUFKRyi9LSUkMvh0gnpL3q1SodjSJ4rKioUJWKb7zxhvq5c+fOOHTokJrnKMGjvjz33HMq7KxZ8SgtX4mIiIiIiIiIiIh0YXdsJioqgQgfZwR6ONbqPl3CvfDn7rPYG5el9/VZsrjCYpwuLIaNFdDXq+EVj9ZWVujq7qKqKHfmFDB4JEVCmtoGNUTmxNqQB5fUv02bNudd1rp1a8TFxaltbclmcnLyebeRn7XXyfmFJctlZWXIyMi4bMmng4MD3N3dzzsRERERERERERER6cqOqvmO3WtZ7Sg6h3uq8/3xWSiX1JL0YkNmnjrv4uYCd1vdBENdPTRh427OeSQiC2fQ4LFv376Ijo4+77Ljx48jIiJCbUdGRqrwcPXq1edVJ8rsxt69e6uf5TwrKwu7d++uvs2aNWtUNaXMgiQiIiIiIiIiIiIy1HzHHrWY76gVFeAGF3sb5JeU43iyphUo6d56bZtVHcx31OruoZnzuJPBIxFZOIMGj4899hi2bdumWq2ePHkSP//8M77++mvMmDGjuhfyo48+itdeew0LFy7EwYMHMWXKFAQHB2PcuHHVFZLXXHMN7r77buzYsQObN2/Ggw8+iIkTJ6rbERERERERERERETWmotJy7I/PrtN8R2FjbYWOYZqqR7Zb1Y/yykpszNR98NjF3QVWAGKLSpBawrl+RGS5DBo8du/eHX///Td++eUXtGvXDq+++io++ugjTJo0qfo2Tz/9NB566CHcc8896vZ5eXlYvnw5HB3/3xf9p59+QqtWrTB06FCMGjUK/fr1UwEmERERERERERERUWPbF5+FkvIK+Ls5qBmPdSFzHsWeuEw9rc6yHcgtRFZZOdxsrNFZh7MYpWVrSxfNZ9a7WPVIRBbM1tALGDNmjDpdjlQ9zpw5U50ux9vbW1VLEhERERERERERERnaTu18x0hv9flmXWjnPO5l8KgXq9Nz1Hl/LzfYWtfttbmabu4uOJZfhJ3ZBbjWT/M6EhFZGoNWPBIRERERERERERGZmx1V8x171mG+o1anqlarp1LzkVVQovO1Wbp/0zQtcIf7uut83908NBWUu3NY8UhElovBIxEREREREREREZGOlJVXYHesplqxex3mO2r5uDqgSVV7VmnZSrqTUFSCA3mFahbjMB/dB4/dPVzU+b7cApRUVOh8/0REpoDBIxEREREREREREZGOHE7MQUFJOdwdbdEywK1e++hcPeeRwaMu/VvVZlVaovrZ2+l8/02dHOBtZ4PiikocyivU+f6JiEwBg0ciIiIiIiIiIiIiHdlRNd+xR6Q3rOs5Q7AL5zzqtc3qSD20WRUyz7Oru6bqcVc2260SkWVi8EhERERERERERESk4/mO9WmzemHFo7Raraio1NnaLFluWTk2Zeap7ZG+Hno7jlRTip3ZBXo7BhGRMWPwSERERERERERERKQDEhLujPl/xWN9tQp0g6OdNXKLynAqVROWUcOsy8hFaWWlaofa3NlBb8fp5qGZz7k7hxWPRGSZGDwSERERERERERER6cDJ1DxkFZTCyc4G7ULqX1Vna2ONDqGadqt72G5VJ1ZUtVkd4euuWqLqSyd3Z9hYAYnFpUgoKtHbcYiIjBWDRyIiIiIiIiIiIiId2F4137FLhCfsbBr20WuXqnare+OydLI2S1ZWUYnV6Tl6b7MqXGxs0NbFSW3vYtUjEVkgBo9EREREREREREREOrDzTMPnO2p1DmfFo67szMlHZlk5vGxt0L1qBqM+dfXQHGNXNoNHIrI8DB6JiIiIiIiIiIjMSGVlJdZFp2Ds55vR9uXlOJqkqfQi/T/vO840fL7jhcHjiZQ85BSVNnh/lkzbZnWojztsrfXXZlWre1XwuDO7QO/HIiIyNraGXgARERERERERERHpJvjaciodH6w8jt2x/6+SW3wgEa2D3A26NksQn1GIczlFsLOxQucwTZvUhvB3c0SolxPOZhbiQHw2+rXw1ck6LfHPhTZ41HebVa1u7s7q/FBeAQrLK+DUwLa7RESmhL/xiIiIiIiIiIiITNy20+m45ettmPTNdhU6Othao0dVu8+aISTpz44YTbVj+xAPONnb6GSf2jmPbLdafycKinGmsAT2VlYY7O3WKMcMc7SHv70tyiqB/bmseiQiy8LgkYiIiIiIiIiIyETtisnApG+2YeLX21SbT3sba0zr0wQbnx6M129op26zPz4bZeUVhl6q2dtxJl2d94j00dk+te1W9zJ4rDdttWNfL1e42uomEL4aKyur6narnPNIRJaGrVaJiIiIiIiIiIhMzMmUXMxcfBQbjqeqn6W95y3dwzBjcHMEeTipy3xdHeDuaIucojIcO5eLdiGN02bSUu2M0YSDPSIb3mb1worHvfFZqmWoBFpUN/+m5TRqm1Wtru4uWJKajV05DB6JyLIweCQiIiIiIiIiIjIhEkDd9cMuxKQXwNbaCjd1C1WBY6iXZq6clrW1FTqHe2H98VTVbpXBo/6k5BThTFo+JBfsGqFpcasLMptT2uZmFZSq/Tf1c9XZvi1BaklpdfA3wqdx55xqKx53ZhcwNCYii8JWq0RERERERERERCbkREqeCh0lkFr9xEC8Ob7DRaGjVtcIzghszPmOrQLd4eFkp7P92ttaq5mRYk9cls72aylWpeegEkAHVycEO9o36rHbuzrBzsoK6aVliC0qadRjExEZEoNHIiIiIiIiIiIiE6Jtr9oj0hsRPpqqqsvRBo9S8Uj6s/OMJnjsGam7akctznlseJvVEY3cZlU42lijg5um7fFOznkkIgvC4JGIiIiIiIiIiMiEbDiRps4HRvld9bYdwzxhbQWczSxU7UBJP7ZXBY/dm+g+eNTOeWTFY90UlldgXUau2h7p27htVrW6uWu+GLCLwSMRWRAGj0RERERERERERCaiqLQc20+nq+3+La4ePLo62KJloCZ0YbtV/cguKEV0sibg6h6pCQl1SeZ0iuhzOcgvLtP5/s3VxsxcFFZUIMTBDu1cNZWHja1b1ZxH7ZxJIiJLwOCRiIiIiIiIiIjIROyMyUBxWQUC3B0QFeBaq/t0jdC06mS7Vf3YFZuBykog0tcF/m6OOt9/oIcjgj0cUVEJ7D/Lqsf6tFm1srIyyBp6VAWPh/OKkMg5j0RkIRg8EhERERERERERmYiNVW1WpdqxtmGKtlUng0f9WHU0WZ33buajt2Noqx73st1qrVRUVuLf9GyDtlkVAQ521eHjolS+dkRkGRg8EhERERERERERmYgNx1PV+YBazHfU6hqhCa0OJeSguKxcb2uzRCVlFVh26JzaHtM+SG/H6RyuqVrdy3a5tbIvtwApJWVwtbFGb8/aVQbry1h/zWv3TwqDRyKyDAweiYiIiIiIiIiITEBKThGOncuFFDr2a+5b6/uFezvD19UeJeUVKnwk3dl8Mg1ZBaXwdXVAz6aNU/FYKX1dqVZtVgd7u8PB2rAfgV/n56k+hN+TU4DYwmKDroWIqDEweCQiIiIiIiIiIjKhNqvtQzzg7WJf6/tJS1ZtcLWH7VZ1atH+RHU+un0gbKz1N0ewXYg77G2skZ5fgriMAr0dx1ysSDN8m1Utfwe76qrLhax6JCILwOCRiIiIiIiIiIjIBGw4oWmz2r9F7asdL2y3uoetOnWmqLQc/x7RzHe8rmOwXo/lYGuDNsGaEI1zHq9MqgqP5hfBxgoY6mP44FGMC9C0W2XwSESWgMEjERERERERERGRkauoqMSmqorHAS1qP99Rq0tVxeOu2Ey26tSRddEpyCsuQ7CHY/Xzq0/aY3DO45WtTNe0We3h4QIvO1sYg1G+nioIPZhXiFMFRYZeDhGRXjF4JCIiIiIiIiIiMnJHknJUm00Xe5vqtql10SHUA7bWVkjNLcbZzEK9rNHSLDqQpM7HdAyGtR7brGp1DtdUze1hxWOt2qxe4+sBY+Fjb4sBXm5q+x9WPRKRmWPwSEREREREREREZCJtVns384W9bd0/0nO0s0HbEE0Qw3arDZdfXIbVR6varHbQb5tVrS5V7XKPJuWgsKS8UY5parJLy7A1K09tjzSi4FGM9dcExwweicjcMXgkIiIiIiIiIiIychuOa4LHAVF1n++o1UVbMRfL4LGhVh1NRlFpBZr4OKNdSOPMEZSWrv5uDiirqMTBBE1VH51vdUYuyiqBKGdHNHFygDG51tcD9lZWiM4vwtE8Vh0Tkfli8EhERERERERERGTk1XW7q8LC+sx31OpaVTG3mxWPDbZov6bN6nUdg2Flpf82q0KOwzmPV652fON0otoe5Wdc1Y7Cw84Wg7w17VYXsuqRiMwYg0ciIiIiIiIiIiIjtu10OkrLKxHm7YQIH+cGB49Hk3JRUFKmwxValuyCUqw/nlIdPDam/895ZPBYU2VlJZ4+fhZni0oR7miPB8L9YYzGBXhVt1uVNRMRmSODBo///e9/1Td1ap5atWpVfX1RURFmzJgBHx8fuLq6YsKECUhO1vRO14qLi8Po0aPh7OwMf39/PPXUUygr4z+ciIiIiIiIiIh0rbyiEpn5JYZehsXZeCJNnfdv4deg6rogDycEeTiq13F/PFt11teKI+dUENwywA1RAZoKtsainfO4/UwGiko551Hrl3MZKsyztQJmtYmAu60NjNEIH3c4WlvhdGExDrHdKhGZKYNXPLZt2xZJSUnVp02bNlVf99hjj2HRokX4448/sH79eiQmJmL8+PHV15eXl6vQsaSkBFu2bMEPP/yAOXPm4OWXXzbQoyEiIiIiIiIiMk/S6nPkRxvQ9bWVOMT5coaZ79iANqsXBlesmKu/Rfs17TzHdAhq9GN3DvNEiKcTsgpK8ffehEY/vjE6kV+EF45rnotnIoPQxcMFxsrV1gZDfTQzQSUoJSIyRwYPHm1tbREYGFh98vXVDMjOzs7Gt99+iw8++ABDhgxB165d8f3336uAcdu2beo2//77L44cOYJ58+ahU6dOuPbaa/Hqq6/i888/V2EkERERERERERE1fL7gK4sO48ZZW3AyJQ8VlcC6aE2bSdK/+IwCnE7Lh421Ffo092nw/rpWzQjcUzUzkuomPa8YW06lq+0xjdxmVdjaWOOOvk3U9rebzqBC/kBasKLyCtx3JAaFFRXo7+WKGUbaYrWmsf5st0pE5s3gweOJEycQHByMpk2bYtKkSap1qti9ezdKS0sxbNiw6ttKG9bw8HBs3bpV/Szn7du3R0BAQPVtRo4ciZycHBw+fPiyxywuLla3qXkiIiIiIiIiIqKLK+1GfLgB32+OgXw+3tRPU0m0L56VOo3dZlUq3dwd7XRW8bg7LpOhRz0sO3ROtaptH+KBSF/DVNbd0j0Mrg626osA609oqmEt1eunE3E4rwjedjb4tHUErBvQirixDPNxh7ONNeKLSrA3p8DQyyEiMq/gsWfPnqo16vLly/Hll1/izJkz6N+/P3Jzc3Hu3DnY29vD01MzMFlLQka5Tsh5zdBRe732ust588034eHhUX0KCwvTy+MjIiIiIiIiIjJFWQUlePKP/Zjy3Q4kZBWq1o4/3tkD797YoTp4ZGjVODZWBUsy31EX2gS5w8HWWrXqlEpKql+b1es6Nn6bVS03RztM7K75PPPbjWdgqf5Ny8bss5pg/uNW4Qh0aHgw3xgkdBzJdqtEZMYMGjxKa9SbbroJHTp0UJWKS5cuRVZWFn7//Xe9Hve5555TrVy1p/j4eL0ej4iIiIiIiIjIVCw7mIRhH2zAn7vPQoqHpvVpgn8fG4ABUX5oG+wBW2srpOWVqECS9KusvAKbTmqClQFRmvFEDWVva40OoR5qm+1W6+ZcdhF2xGSo7dEdGr/Nak3T+jaBtRXU++NokuV1cztXXIpHj2k6590T6ofhvpr3tKnQtltdmJqFCn6Jg4jMjMFbrdYk1Y1RUVE4efKkmvcocxoliKwpOTlZXSfkXH6+8HrtdZfj4OAAd3f3805ERERERERERJYsJacI983djft/2oO0vGI093fFn/f1wX+vbwsXB1t1G0c7G7QKclPbbLeqf/vPZiO3qAweTnboEHp+VzBdtFvdE8fgsS6WHExSLYe7RXipKmBDCvVyxrXtg6pnPVqS8spKzDgSi4zScrRzdcILzQxXfVpfg33c4G5rjaTiUuzIZuUxEZkXowoe8/LycOrUKQQFBaFr166ws7PD6tWrq6+Pjo5WMyB79+6tfpbzgwcPIiXl/wPNV65cqYLENm3aGOQxEBERERERERGZmoqKStz2zXYsP3xOVTQ+PKQ5ljzcD12rAqqaOoVpArB9cQweG2PGpujX3Bc2Ut6mI13Dq+Y8suKxnm1WDVvtqHVXv0h1/s++BPXFAUvxeVwKNmflwcnaGrPaRsDB2qg+4q4VWfM1VVWabLdKRObGoL+Vn3zySaxfvx4xMTHYsmULbrjhBtjY2ODWW29VsxenT5+Oxx9/HGvXrsXu3btxxx13qLCxV69e6v4jRoxQAePtt9+O/fv3Y8WKFXjxxRcxY8YMVdVIRERERERERERXt/V0Ok6m5MHN0RaLHuqHx0e0hIOtzSVv2ylME1qx4rEx5zvqps3qhRWPJ1LykF1YqtN9m6v4jAL1npf899r2l++01pg6h3upLweUlldi7rZYWILd2fl4+0yS2n4jKgTNnR1hqrTtVhenZqkqTiIic2HQ4PHs2bMqZGzZsiVuvvlm+Pj4YNu2bfDz0wzL/vDDDzFmzBhMmDABAwYMUO1T58+fX31/CSkXL16sziWQnDx5MqZMmYKZM2ca8FEREREREREREZkWmecoru8YjNZBVx5Jo614PJiQjdLyikZZnyXKLiitDnf7R2k+K9MVX1cHRPg4q7ahDJBrZ9EBTbVj72Y+8HcznrBLW/U4b1ssCkvKYc5yyspx35FYlFcC4/w9MTHQG6ZsgJcbvGxtkFpShq1ZeYZeDhGRzmga9BvIr7/+esXrHR0d8fnnn6vT5URERGDp0qV6WB0RERERERERkfnLLSrFskOaCqIbu4Ze9fZNfV1UZaTMHow+l4t2IZp2gaRbW06loaISaObnopd5gtJuNTa9QLVbHajjYNMcLd6v+TMypoNxtFnVGtE2EGHeTojPKMT8vWcxqWcEzFFFZSUePBKL+KIShDva452WYbCy0l37YUOws7bCaD9PzEtKx4LkLPTz0szPJSIydabXAJuIiIiIiIiIiHRm2cFzKCqtUAGXtprxSqytrf4/55HVcnqzoarN6gA9hYKdq9qt7o3jnMerkTbER5Jy1PzTa9oaR5tVLZn9eUcfTdXjt5vOqHmt5uj9mHP4Nz0HDtZW+LptE7hfphW0qRnrr/lduiQ1C6Vm+toRkeVh8EhEREREREREZMG0bVYndA2tdQVRx1AGj/pUWVmJDcfT1PaAFvoJHqXiUeyNy0I5A48rWlzVZlVmbXq52MPY3Nw9DG4Otjidmo91x1NgbpanZuP9mGS1/U5UGDq5O8Nc9PFyhZ+9LTLLyrExM9fQyyEi0gkGj0REREREREREFio2PR87YjJgbQWM73z1NqtarHjUrzNp+UjIKoS9jTV6NtXPHLuWgW5wsbdBXnEZjicz8LhSCLxovyZ4vK6jcbVZ1XJ1sMWtPcPV9jcbz8CcnMgvwoNHY9X29BBf3BJk2nMdL2RjZYUxfprfpwtSWH1MROaBwSMRERERERERkYX6a0+COu/Xwg+BHo61vl+ncM0H5adS85BTVKq39VmqDcc1bVa7NfGCs72t3lp0al/HPWy3ellHk3JxKjUf9rbWGN4mAMZqap8m6jXdciodhxOzYQ5yysox7eAZ5JVXoLenC/7bPATm6IaqdquLUrKQUVpm6OUQETUYg0ciIiIiIiIiIgsks+D+0rZZ7VK3D/R9XR0Q6uWEykrg4FnzCDmMydpoTfDYX09tVi9st7o7lsHjpdvdpuKJP/arn4e09Iebox2MVYinE0a1D1Lb322KgamrqKzEjCOxOFVYjGAHOzXX0U5Ks81Qdw8XtHd1QmFFJeYkaFosExGZMgaPRERERERERGTQD/clAKPGt/1MhmrnKbPhRrYNrPP92W5VP+IzCrDhhCZ4HNlWvxV2nSM0weMeBo/nkSD21tnbMOW7HTialKNa0t47sCmM3fR+kep84f4EpOQUwZS9F3MOK9Nz4GBthe/aRcLP3nhD34aS2boPhPur7W/PpqGwvMLQSyIiahD99GogIiIiIiIiIouXW1SKY+dykZZbjNS84urzVHVeovk5txjuTrZYMKMvQr2cDb1ki/JnVbXjmI7BcLSzqVfwuPhAEvbGMXjUpZ93xKlK0n7NfdHUz1Wvx+oSpgkeY9ILkJZXrCpZLdmxczl4b0U0Vh1NUT/LjM3JvSLwwOBmJvHcyJ/JbhFe2BWbiR+3xuLJkS1hipalZuGDmGS1/U5UGDq5m//fDTLn8TWHRCQUl+LP5AzcHuxr6CUREdUbg0ciIiIiIiIi0rmi0nJc+/FGnM0svOpt0/JKVAj26LCoRlkbAfnFZVh2KElt39i1fnPTalY8SuWqVO1QwxSXleO3nfFqWwIvffNwtkMLf1ecSMlTAbIxzzDUp9j0fHyw8jgW7k9Uoa909LypaxgeHtZCtTA1JXf1j1TB47ztsZgxuDmc7Ov+pQJDOp5fhAePxqnt6SG+uCXIG5ZA2sjeG+aHl08mYlZcKiYF+cC6Hr9T44tKEOpgx9/HRGRQDB6JiIiIiIiISOd+3xWvQkdpUdgqyB1+rg7wc3NQVUNyrtm2V2HHzMVHsGh/Ih4Z2oIfljaSZYfOoaCkHJG+LuhSNeevrtqFeMDW2kpVyknLVlasNtyyg+eQkV+CIA9HDGutab2ob/L6S/C49VS6xQWPBSVleH3JURX2llW1fB7dIQiPD49CMz1Xm+rL8DaBCPN2QnxGIf7ac7ZRAmxdySkrxx0HzyC/vAK9PV3w3+b1+1KEqbotyAfvxySruZb/puXgGj+POt0/raQMI3ZGqwrRz9tEwNuOH/0TkWFwxiMRERERERER6VRJWQVmrTultp+9thX+ur8PZt3eFa+Oa4dHhrXAbT3DVcDROdwLN3ULhYOtNU6l5uNoUq6hl24x/tytqaq7sWtovcNeac/aKshNbe+Pz9bp+izVj1tj1PltPcJha9M4H9sNrQo4pdqvzMJmy7259Bh+2h6nQsdBLf2w+KF++Py2LiYbOgobayvc2Vcz6/Hn7ZrKQVNQUVmJGUdiVegW4mCHr9s2UVWAlsTV1gZTgn3U9hfxmna/dTHzVAIyy8qRUlIKdxvTqnQlIvPC4JGIiIiIiIiIdEqqbBKzi+Dv5oCbuoVd8bZujnYY3FITfCw6kNhIK7Rs8RkF2HY6A5I33tC5YRVF/2+3mqmj1VmuQwnZ2BOXBTsbK9zS48p/bnRpcCt/+LjYq8rVDSdSYUl/Dn7dqQnmvpzUBXPu6KGqeM3B2E4hql3skaQcVY1sCj6KTcbK9Bw4WFvh23aR8LO3gyW6K9QP9lZW2JGdj13Z+bW+3+bMXPx+LhMS1b4bFaaq0YmIDIXBIxERERERERHpjFRMfbHupNq+d2AzVRV3Ndd1DFbn0m5VZgWSfs3fk6DO+zbzRXAD59d1CvOqnvNIDTNvW6w6v6ZdEPzdHBvtuHY21iqoEn/t1rw3LMGna06gtLwSfZv74Nr2QTAn3i726Bqh+bO5+mgyjN32rDy8d+ac2n4nKky1CrVUAQ52mBCoee2+rGXVY3FFBZ45flZtS8VkFw8Xva6RiOhqatXoefz48airWbNmwd+/cXrRExEREREREZFx+GdfopotJhVU0i6yNoa08oezvY2aCSkBlrRgJf2QYFcqUrVtVhuqU5imQuxgQjZKyytUiEV1l11YigX7NKHf7QaYyTehawi+23wGK48kI6ugBJ7O9jBnZ9Ly8VdVAP/48JYwR8NaB2BnTKZ6Taf0bgJjlVVahgeOxEKa/N4Y4IVbgrxh6e4L88cvSRlYmpqN0wXFaOrscMXbfx6XgpMFxfCzt8XzTc0rRCci01Srfw0uWLAA9vb28PDwqNVpyZIlyMvL0//qiYiIiIiIiMholFdU4vOqase7+jeFk33tZkzJ7WTmo1i0P0mva7R0EkTEZRTA1cEWI9sGNnh/TX1d4eZoi6LSCkSf44zO+vpz91n1HLYKdEP3Jo0fvLcN9kDrIHeUlFeoymNz9/Gq4+r3lXzpQVsZaG6GVf1O3XY6HblFpTDWL0I8FX0WCcWlaOJkj7eiGv5lCHPQ0sURw3zcIfX/X12l6vFMQTE+jtVUtc5sHgIPu1rVGRER6VWtfxN98sknta5g/PPPPxuyJiIiIiIiIiIyQUsPJuF0aj48nOxwe++6VW1d1yFYVUsuOZiIF0e3hjXnU+nFn7vj1fno9kG1DoavRF6njqGe2HQyDfvPZpnNjLzGVFFRWd1mdXKvCFjJ8E0DkArYVxcfwZ97EnC7EVfINdTx5Fz8UxWuPj48CuaqmZ8rmvq64HRaPjYcT8PoDsZXCfdzUgYWpWbB1gr4sk0TuNo2/HeSuXggzB+r0nPw27kMPBUZBF9720sGt88eP4viikoM9HLDOH/NzF0iIpOoeFy7di28vWtf5r5s2TKEhDRsODkRERERERERmVZ48tkaTbXjnX0jVUVdXfSP8oW7oy2Sc4qxMyZDT6u0bAUlZVhyQFNRemM33VUWdQrTfNi9L45zHutjy6l01fpT/szc0Nlwn6eN7RQMW2sr7I/Pwolk861e/XDlccgo2WvbBZp9UK6telxlhHMeT+QX4cUTmna3z0QGobMFz3W8lN6eLujo5oSiikp8n5B6ydssSMnC+sxcOFhbqWpRQ31pgYioXsHjwIEDYWtb+/8w9OvXDw4OV+49TURERERERETmY+XRZEQn56rwZFqfuldLOdjaVLf+XHTA/Fs9GsKKw+eQX1KOCB9ndNNhe8nq4DGewWN9/Lg1Rp1P6BIClzoG9rrk6+qAQS013c7+rJoDam4OJWRj2aFzkHzmMTOudqw551GsOZaCsnKZomgciisqcP+RWBRWVGCAlytmhNeuy54lkRDxgarn5fuENBRc8Ppll5bh5ZOa4PaRiABEXmUOJBFRY6rzxG8JIX/88UcUFhbqZ0VEREREREREZFKk3Zu22nFqnwh4ONvVaz/XdQxW50sPnjOqD8nNaY6gmNBFt5UxHauCx5OpeUY7S85YJWYVVlej1bU9sT7c2FVTcblgb4KagWiO1Y7i+o7BiApwg7nrEu4JL2c7ZBeWYldspt6OU1JRt9/Xr59KwqG8Qnjb2eDT1hGwZqXeJY329USYoz0ySsvx+7nzOwG8fjoJqSVlaO7swOCWiEw/eOzcuTOefPJJBAYG4u6778a2bdv0szIiIiIiIiIiMgnrjqfiYEI2nOxsML1f03rvp08zH3i72CMjv0S1nyTdScgqrH5Ox3fRbTtPPzcHhHg6qfaVB85m63Tf5u7n7XGQfK93Ux809zd8EDakVYAKqqTl8cYTl27vaKr2xGVi9bEU2Fhb4ZGhLWAJbG2sMbiVJpRadUQ/7VYrKisxYMcxTD5wGvOTM5FfVn7F269Oz8HXZzXvrY9ahSPAoX5fVLEE0vr43jA/tf1VfArK5ZcsgN3Z+ZibqPl9/nZUKBys6/wRPxGRXtX5t9JHH32ExMREfP/990hJScGAAQPQpk0bvPfee0hONr5+4URERERERESk32rHT1efUNuTe4Wr4LAhH5KPal/VbnU/263q0t97zqpgUAKuUC/dz1LrFM52q3VVUlaBX3fGqe0pRlDtKOxtrTG2U8h5FbLm4oN/j1e3tG3q5wpLMbyq3apU1srva107mFeImMISrErPwQNHYtFu82HcfzgGK9OyUXpB1WxKcSkePqp5z08P8cUIX/OesakLtwZ5w9PWBmcKS7A8LRtlFZV4Kjoe8szeHOiFvl6G/8ICEdGF6vV1CJn3OH78ePzzzz84e/YsbrvtNrz00ksICwvDuHHjsGbNmvrsloiIiIiIiIhMzNZT6dgTl6UCi7sH1L/aUeu6Dpp2q8sPn0PxVSpnqPYW7NMEuRO6hupl/50557HOlh1KQlpeCQLcHTCsjSYcMgbSilf8eyRZteg0B9tOp2PTyTTY2VjhoSGWUe2o1T/KD/Y21ohJL8Cp1Pw633/5oXMoKCm77PUd3ZyxsUcrPN4kAE2c7NXcxr9TsnD7wTPouOUQnomOx/asPFWtJ6FjemkZ2rg44qVmmt/1dGUuNjaYFuKrtr+IS8Hss6k4kl8EL1sbvNxMt9XrRES60qA67B07duA///kP3n//ffj7++O5556Dr68vxowZo9qxEhEREREREZF5+2SNptrx1u5h8HdzbPD+ujfxVkFMblEZNhxP08EKKSYtHydT8lTbvhFt9RNwdaoRPOqjqsoczdsWq85v6xEBOxvjaZXYLsQdLQPcVEXm4gOmX3ks70dtteMt3cMQ5q37il9j5upgi97NfNS2dp5obR1KyMZ983Zj0LvrkF98+fCxhYsjno4MwtaerbG0awvcHeoLP3tbNZvwh8R0jN17Eu03H8K6zFw4WVthVtsmcDSi97yxmx7qCwdrK+zOKcAbp5PUZRLc+trbGnppRESXVOff8NJeVYLGdu3aoX///khNTcUvv/yCmJgYvPLKK/jmm2/w77//YtasWXXdNRERERERERGZkJ0xGdh2OkNVEd07sJlO9mltbYUxVVWPbLeqGzLXTvSI9Ia7o37mqbUL8VCz81Jzi5GYXaSXY5iTo0k52BmTqcLgW3uEwZhYWVnhxqrKWHNot7rxRBp2xGSoquwHB1tWtaOWtqK2rnMeP65qoy3zd10cbGv13uni7oJXW4Rib++2+K1jM9UO1NXGWoWQYmaLEES5NPxLKpbEz94ONwV4q+3Sykr09HDBxCDNz0REZhE8hoaGqnBx6tSpqs3qn3/+iWuuuUb9xaLVoUMHdO/eXddrJSIiIiIiIiIj8umak+pcQopgTyed7XdMh6Dq6pzCErZbbajVVVVOQ6tmvemDo50NWgVqZo3ti2O71auZW1XtOLJdIPzdjS+EGds5WAXJe+OycCo1D6Zc7fj+v9Fq+/ZeEQj0ML7nujEMa+2vznfHZSI9r7jW1Y4rjyTD2gp4sB7taSVUH+jthk9aR+Bg33b4pm0TzGoTgclBmupLqpt7w/zUB/m2VsDbLUNhXeOzeCIikw8eV69ejaNHj+Kpp56Cn5/fJW/j7u6OtWvX6mJ9RERERERERGSE9sdnYcPxVBVO3D+wuc7bdoZ6OaGgpBxrqqr1qH5yikqx40zGeeGDvmjbre4/y+Dxaq/Jgr0J1WGYMZK2yQOjNJ/7/WXCVY+rjqZg/9lsONnZ4P5BuqnKNkVBHk6qha50Qa7t79RPqqodr+sYjOb+rg06vpONNcb4e2JcgNd5xStUe9LO9vdOzTC/U3O0ctHdF32IiIwieJT2qkRERERERERk2T5fq6l2HNcpBOE+up2ZJh9My4fdgu1WG2Z9dCrKKipVcBDh46LXY1XPeWTF4xXN331WhepRAa7oGWm87RIndNG0W52/JwHlFaY3t7Oi4v/VjtP6NoGvqwMs2bCqiufazHk8nJiNf48kQzLCh+pR7Uj60c/LDT08GxYCExEZTfDYpUsXZGZm1nqn/fr1Q0KC5ptbRERERERERGResgpKqqtm7hvYVC/HuK5qzuOa6BTkFpXq5RiW1WZVv9WOonO4Jng8mJCNsvIKvR/PFGUXluK7zTHV1Y7GXP0l7xkPJzucyynCllNpMDVLDyXh2LlcuDnY4t4B+vk9ZYrB44bjaSiqmrd41WrHDg2vdiQiIstz9anA8k21ffuwf/9+eHvX7ltYcvvi4tr1CyciIiIiIiIi02tfKFV0MtOvRYBmrp+utQ5yQzM/F5xKzVdzxsZXVV9R7Un4tzY69bzQQZ+a+rrCzdEWuUVliE7ORdtgD70f05SUlFXg/nm7EZdRgEB3R9xg5O9pmdt5fcdgNY/yz91n0b/FpUcu6Xom45KDSfhtZzwm9QzHNe00817rKi2vGP9deERtT+8fCU9ne1i6tsHuCPJwRFJ2EbaeSsfgVpf+MsKRxBysOKypdnx4qG7baBMRkWWoVfAohg4dqv7yrw1j/rYWERERERERma7S8go1o8rets6TQ0iHlh9KUufXtAvU2zG07VY/WnVCtVtl8Fh3u2MzVYWdp7MdOle1QdUna2srdAz1xKaTadgXn8XgsQb5TO3Z+Qew5VQ6XOxt8O20bnB1qPXHcgYzoWuoCh6XHzqnZlO6O9rp7Vi7YjLw2pKj6r0jtp/OwM93O6BbE+86P9dP/bFfhY/Szva+gZY72/HC36nyBQR5PVceTb5s8Kitdhyjqh3188USIiIyb7X6F86ZM2fqvOPQUP6HgIiIiIiIiHQnv7gMYz7dhOScIhV43dglFL2a+qiwgxpPXnEZNpzQtF28tp7VSLUlH3xL8LjxRBoy80vg5cKqpbpYXdUOd3BLf9jaNE5Y3zHMQwWP++OzMKlnRKMc0xTI+1hmJdpYW+GLyV1NJpTtGOqhWm2eTMnD0gNJmNgjXOfHiEnLx9vLj2HZoXPqZ2d7GzTzc1Ute++duxsLZvRFmHft58h+vzlGVfrKF1Q+ubWzqtwkjWFtNMGjtGCuGNvuor8/jyblYPnhc5pqxyGsdiQiIj0GjxER/IciERERERERGda3m87gTFq+2pYP8OUU7CHtCkNUNZx8UE36t/ZYimoZ2dTXRVUT6ZMEHq2D3Ks/DL9VD6GHOWvM+Y5ancK81Lm2ao2A33fF4+OqKrLXx7XDwCj9tyzVZZXcjV1D8dayY6rdqi6DR/kywSdrTmDetliUlldCMrBbuofjseEtVDXoTbO24nBiDu7+cRf+vL9PrSpEpU2orFW8OLo1WgW662y95qBXU29VcZucU4xDidnoEOp5yWrH0e2D9NZGm4iIzB970xAREREREZHRS88rxtcbTqvtx4dHqdlf7o62SMwuwudrT2Ho++sx7vPNqpIjq6DE0Ms1a9JyUYxsF9goo1au66ipqpR2q1S3KjKZj2lrbYUBjRh0dapq6XoiJQ+5RaUwJxK4F5eV1+k+m06k4fn5B9X2jMHN9FIxqG83dA5RoeCu2Ez1vmqootJyfL3hFAa8u1ZVJ0roOLilH5Y/OgBvjm8PfzdHONvbYvaUbvB1dcCxc7l49Nd9qKi48giowpJyPPTLHpSUV2BYa3/c3ouFFBdysLXBwJaa3werjmi+mKAlX/CQqlPNbMcWBlohERGZA6MJHt966y31H5ZHH320+rKioiLMmDEDPj4+cHV1xYQJE5CcfP5finFxcRg9ejScnZ3h7++Pp556CmVlZQZ4BERERERERKQvn609qVp8tgtxx4ODm+P1G9pjxwvD8PltXTCklb9qXygVVi8tOIQer6/GM38eUCEB6ZYEBmujNe07r9XjfMearusQrM63nU5HSm5RoxzTHKyqqnbs2dRbr3P5LuTn5oAQTyc1i/Xg2WyYi/KKSlz/2SZ0fOVf/OefQ4jPKLjqfY6dy8H983ajrKISYzsF48kRLWGKAtwd0b+FJqz6cWtsg/Z1KCEbwz5YjzeWHkNuUZmqaJ43vSe+v6MHoi6osAv2dMLsKV1Vy1R5P7+zIvqK+565+IgK2/3dHPDOjR0b5YsRpmhoqwB1vvKo5nf5hdWOo9oHXfRaEBERmVzwuHPnTnz11Vfo0KHDeZc/9thjWLRoEf744w+sX78eiYmJGD9+fPX15eXlKnQsKSnBli1b8MMPP2DOnDl4+eWXDfAoiIiIiIiISB/kA/6ftsWp7WeuaVU9k0rmdo3uEITvpnXHtueGqrZ68iG2VLv8tisef+89a+CVm58Nx1NRUFKugqX2IY0zo05mu0kVnRQ7LTmQ1CjHNAerq0IFbcjQmDqFa6oet5xKh7nYE5epKu+KSivww9ZYDHpvHR7+Za8K0i7lXHYR7vh+J3KLy9Az0hvv3NjBpIOw6f0i1fnPO2JVBXp9VFZW4tn5B3A2sxAB7g5498YOWPxQP/Rr4XvZ+3QO91K3E7PWn8Jfuy/9e335oST8siNOVet9eEsneHMe7GUNbuWvKlilwvFsZkF1SF5d7TiE1Y5ERGTiwWNeXh4mTZqE2bNnw8tLMwdAZGdn49tvv8UHH3yAIUOGoGvXrvj+++9VwLht2zZ1m3///RdHjhzBvHnz0KlTJ1x77bV49dVX8fnnn6sw8nKKi4uRk5Nz3omIiIiIiIiM04crj6swsV9z3+qqm0tVWd3VvymWPdIfT43UVBVJCz/5oJt0R+YsipFtG6fNqpZUi4m/9yY02jFNWXZhKXbGZDT6fEeta9pqqmF/3hGn2l+aA21byh6R3ujfwldVQC7cn4gxn27C7d9ux+aTadW/b6TF7B1zdiIpuwjN/Fzw9e3dVItLUyaPuUOohwpev9t8pl77WHc8FYcScuBkZ4MlD/fHTd3CVLX61YztFKLa1Irn5h/E7ljNe1srMasQz/ylaWd774Bm6Nv88kEmQYWy3SK8z/uCQnW1Y7sgtAxktSMRETVy8Ni0aVOkp1/8jbWsrCx1XV1JK1WpWhw2bNh5l+/evRulpaXnXd6qVSuEh4dj69at6mc5b9++PQIC/v/tvZEjR6og8fDhw5c95ptvvgkPD4/qU1hYWJ3XTURERERERPonFRl/70uornasjck9I9QH21KdtP3M+R9QU/1J61pt+HJt+8Zps6p1XcdgNavwwNlsnEjObdRjm6L1x1NVe8/m/q6I8HFp9ONLG94wbydk5Jfg913xMAcrq1rXTukdgbnTe2LJw/1wfcdgVTm28UQaJn2zHdd/tlnNIp3x8171u0vmE865owc8nBuv1a2+yBcNZgxurrZ/3BKrwu26kFD206pwa3KvcPXc1MUTw1tiRJsA9SWUe+furq7UkwD40d/2qfV0DPXAEyOi6rRfSzWsjeYLCdLCNvpcLpYe1HyphLMdiYjIIMFjTEyManF6qSrChIS6ffPw119/xZ49e1QQeKFz587B3t4enp6a9hxaEjLKddrb1Awdtddrr7uc5557TlVUak/x8ebxj2AiIiIiIiJz887yY2pWnLRUbR9au9ae8iH/+C4hanvO5hg9r9BybD2djpyiMhUYdAn/f8eixiDHHNRSU+06n1WPV7W6KiQzRLWjsLWxxj39NV9On73xNMrKTXve6qnUPJxOzYedjRUGRmneh22DPfDJrZ2x/qnBmNo7Ao521jiYkI2HftmrWhLLlx++m9ZNtQo2F8NbByAqwFW1j527tW6/W7eeSseeuCw1r/HuqvdGXUiLbWmhKu200/JKcNcPu5BfXIbP157EjjMZcLG3Ua+HnY3Bm7uZhGGtA6pn576x9KjaHtU+kNWORESkE7X+23jhwoXqJFasWFH9s5z+/vtv1eK0SZMmtT6whH2PPPIIfvrpJzg6OqIxOTg4wN3d/bwTERERERERGRf5QHRtdKqqdHtyhKZ9am1N66P5/+m/R85VV8ZQwyw/pG2zGlCr9oi6Nr5LqDpfsDdBVTnRpUnIty469bxwwRCkjaaPi72a57fkoGnP5tRW+vZq6gM3x/OrFyVYfGVsO2x5digeHdYCXs52KqCUEKxD6Plfpjd1Ev5pqx6/3XQGBSVltb7vJ2s01Y63dg+Dv3v9Pgd0cbDFN1O7wdfVXlW0T/luBz6uqqJ8dVw7g1T3mqqmfq5o6ueC0vJKVSEtWO1IRESNHjyOGzdOnaS1wtSpU6t/ltPEiROxcuVKvP/++7U+sLRSTUlJQZcuXWBra6tO69evxyeffKK2pXJR5jRKC9eakpOTERioaeki5/LzhddrryMiIiIiIiLTJG353lp2TG1P7BGGSN+6faDcIsBNzYSUfGrutlg9rdJySNC38ogmeLymnWH+vz2klT/cHW3V3DwJpenSdsdmqraTEoA1dmVqTY52NtVfAJi1/rRJz1uVdpRieJuAK87Ne3RYFLY+N1SdrnRbUza6fRDCvZ2RWVCKn7fH1eo+Mm902+kMFcjeO1Azq7G+Qjyd8NXt3WBvY63e6/K7aVyn4OovJlDdKlhrtkduFcjCDCIiauTgsaKiQp1kxqIEhtqf5SRtVqOjozFmzJhaH3jo0KE4ePAg9u3bV33q1q0bJk2aVL1tZ2eH1atXV99HjhEXF4fevXurn+Vc9iHr0ZIAVCoY27RpU/tngYiIiIiIiIzKisPJ2BefpdoV1rcKQxt6/LojHoUlF48ModqT4EDaG3o42amqL0MFWWM6Bqvtv/acNcgaTMHqY5rPSAa39DdIZWpNt/eOgLO9jZp3qK2qMjXpecUq4BJDa1FBKu/Tus4vNCXSRvf+Qc2q2+gWl139d+una06q8xu7hiLY06nBa+ga4YW3JrRX2018nFW1I9XdsBrhOKsdiYhIl+rc+PzMmTPw9fVV20VFRfU+sJubG9q1a3feycXFBT4+Pmrbw8MD06dPx+OPP461a9eqCsk77rhDhY29evVS+xgxYoQKGG+//Xbs379ftYB98cUXMWPGDNVOlYiIiIiIiEyzVeQ7KzTVjnf1j4S/W/3a8g1u5a8qc6T6a8E+zgXURZtVqeIy5Ay1CVWzO2U9Mt+NLl+dV5uQTN88ne1xa49wtT1r/SmYImn3LJXTbYLcVbUdSdvjEAS6OyI5pxh/7r7ylwD2x2epmZcSgt8/sLkO1xCK1U8MxJKH+1/U/pZqp1uEFx4c3ByvXN9Wzc4kIiLSlTr/b0EqHGWeY0hICFxdXXH69Gl1+UsvvYRvv/0WuvThhx+qKsoJEyZgwIABqn3q/Pnzq6+3sbHB4sWL1bkEkpMnT8aUKVMwc+ZMna6DiIiIiIiIGo98kH06NV+1irxnQNN670c+6J7SO0Jtz9kcY9KtHg2poqISKw5XtVlta9ixJtI6NMLHGQUl5dVrov87k5av/uzIXNT+UZovjRva9H6Raj3SalOqmE11vmPN6jBL52BrU/27WQJl+bLI1aodx3YKRriPs07X0czPVc19pPqRcVpPjmyJqVXdAYiIiAwWPL722muYM2cO3nnnHdjb21dfLlWK33zzTYMWs27dOnz00UfVPzs6OuLzzz9HRkYG8vPzVeh44ezGiIgILF26FAUFBUhNTcV7772nZkQSERERERGR6ZGWqB+uOq62Zwxu3uBKlpu6halWj9HJudjKuYD1ciAhW81VdLG3Qb8Wvgb/oHx8Z80st/l7WMV6odVV1Y49m3rD3UiqwKS15thOmkrVWetMq+qxqLQcG06kXjQPj6AqWX1c7BGfUYiF+xMveZsjiTmqAtfKSvP7nIiIiCxDnYPHH3/8EV9//bWaxSiVhlodO3bEsWOaVjhERERERERE9TFnS4xq3yctDWU+XEPJTMIJXUKrqx6p7pYdSqpuXSvz6wzths6aEGvzqTQkZRcaejnG2Wa1lXGFZPcN1FTHrThyDqdS82Aq5MsKUl0rbUXbhbAVZU1O9ja4s1+k2v5i3SlVGX2hz9dqqh1Htw9S1YlERERkGeocPCYkJKB58+aXbMFaWlqqq3URERERERGRhckqKMGX6zQfVD8+PEq189OFqX0iqkOZ+IwCnezTUkh7Wu18x2vbBcEYSLvGHk28IZ1zF+y9dKWVJcouKMXOmEy1PczIqvNaBLhhWGt/9Zp9vV4zsse02qz6q2pbOp98OcTN0RYnU/Iuan18MiUXS6u+tPDgEFY7EhERWZI6B49t2rTBxo0bL7r8zz//ROfOnXW1LiIiIiIiIrIwX647hZyiMrQMcMO4qqo2XWju74b+LXwhBTlzt8XqbL+W4Ni5XMSmF8DB1hqDWvrBWIzvonl/zN9zlrM7q6w7noLyikq08HfV+Sw9XbhvYDN1/vfeBCTnFMHYyftKW0FqbEGusZB2vtOq5gN+tvbkeX8WP197SgXNI9sGoFUgq0WJiIgsSZ2Dx5dffhkPPvgg3n77bVXlKHMX7777brz++uvqOiIiIiIiIqK6yi0qxY9bNaHg09e0hI21bquL7uir+XD81x1xKCgp0+m+zdmyqmrHAVF+cHGwhbEY1SEI9rbWOJGSh0MJOYZejlFYfTRFnQ810pCsWxNvdIvwQkl5Bb7bdAbGTt5X0vZZZpv2buZj6OUYrTv6RsLJzgaHE3Ow7rhmHmZMWj7+2aeZwfrg4BYGXiEREREZffA4duxYLFq0CKtWrYKLi4sKG48ePaouGz58uH5WSURERERERGZt8YEkFJaWo6mfC4a08tf5/gdF+SPCx1lVVErFFdXOiuo2q4EwtkqrEW00Adtfe87C0pWVV2BdtCZ4lJamxkpb9fjT9jhkFxr3uJ6VVdWOErrrqu2zOfJ2sceknuFq+/M1mqpHqV6XCvPBLf3QPtTD0EskIiIiYw8eRf/+/bFy5UqkpKSgoKAAmzZtwogRI3S/OiIiIiIiIrIIv++KV+c3dwvTyyw1a2srTO2tqXqcszmG7Tlr4XRqHqKTc2FrbYWhrYyvim5Cl1B1vnB/IkrLK2DJdsVmqlDdy9kOncO9YKzkSwXSCjavuAw/bY81jfmORlpBakzuHtAU9jbW6n0oX+zQfhngwSGsdiQiIrJE9QoeiYiIiIiIzMXRpBzkF7P1piGdSM7F3rgs1V5VO7tPH27sFqraJkp7zi2n0vV2HHNrs9qnuS88nO1gbGRup6+rPTLyS7A+WtPi0VKtrqrOG9zSX+dtinX9BYB7q6oev9sUg6LSchijhKxCHEnKgTyVg/VQgW1uAtwdcVM3zRcBnvrzAMoqKtG3uQ+6RhhvCE5ERERGFDx6eXnB29v7opOPjw9CQkIwcOBAfP/99/pZLRERERERkQ7JDKprP96Iaz7egEMJ2YZejsX6bWd8dTWUv5ujXttz3thV8+H495tj9HYcc7HisCZ4vKatcbVZ1bK1scbYTpqgev5e02y3ujs2A5tPpjWoAvdcdhGWHjxn1PMda7q+YzCCPByRlleM+XsSjLrasVuEt2olSrVroyuhd7n0WOVsRyIiIotW5+BRZjpaW1tj9OjReOWVV9RJtuWyGTNmICoqCvfffz9mz56tnxUTERERERHpgHzQ/9X602o7PqMQE77cgr92m2Z4YcpKyiowv2rm4i3dwvR+vCl9NO1WVx9LRlx6gd6PZ6rOZhbgwNlsVfE1oq3xhlnaCtlVR1OQXWDcMwMvJO+/W77ahknfbMfdP+5WAWJd/Xv4HK79eIOq0JOAbECUL4ydva01pveLVNtfbzhVHVTpU3JOEd5dcQyHE2v3BZNVVRWkw6vmiNLVhXk7Y2ynYLXdvYkXejX1NvSSiIiIyFSCR5nn+Nprr2Hu3Ll46KGH1Em25bLdu3erwPHdd9/FJ598op8VExERERER6cDOmEzVSs/Rzlq1bCwuq8ATf+zHSwsOqTCMGq9FpLTK9HdzwKCWfno/XjM/VwyM8oMUmP24lVWPl7PisCZ46d7EG76uDjBWbYLc0SrQTf2ZXXIwCabk+y1nVEtKbdA1/IP1+GVHXK2qHwtLyvHC3wdxz9zdyCwoRbsQd/xxX2+4ORpfS9xLubVHODyc7BCTXqDCU32Syspbv96Gz9eeUl8wWXwg8Yq3zykqxbbTmlbMwxg81slLo9vg/kHN8N5NHfUyq5eIiIjMNHhcsWIFhg0bdtHlQ4cOVdeJUaNG4fRpzTeHiYiIiIiIjNEPWzSh07hOIfjhjh54eKimLdzcbbGY+PVWVSFD+vfbLk2b1QldQ1XrzMYwrW+T6mOb03xPCd/u+mEnbvxyC+ZujUFWQUm99pOZX4KF+zRVqNe0M842q1oSbmirHufvMZ2KZQm3fq9qMfzymDboGOqB3OIyPDf/IG6bvR0xafmXva9U7V332Sb8tD1O/XzvwKaYf39fFaqbChcHW9zeK0Jtf7vpjN6Ok11Yiinf7sDptHzY2VihqLQCD/68Fx+tOn7ZgHfD8VSUlleimZ8LIn1d9LY2c+TlYo9nrmmFCB8+b0RERJaszv+rk3mOixYtuuhyuUyuE/n5+XBzc9PNComIiIiIiHQsKbsQy6uqbKb2aQJrays8PjwK307tBjdHW+yJy8LoTzZhe1XVC+nvdZAP+cVNVbMXG8PAFn4qUMgtKqtu82oO1h9PVS1Hd8Vm4qV/DqPH66tx39zdWHkkGaXlV67ilZBSgrAp3+1A99dXYf9ZTUvKkUY637EmmfMoLWHlccemXz6wMya/7YhHfkk5ogJccUffJpj/QF+8OLq1qsDeejpdzZ2dveE0ymq8bhUVlfhm42nc8PkWnEzJU1XC86b3xHPXtlbtS03NlN4RKgyU121/fJbO919QUoY75+xUle1StbvskQG4q6rF60erTuDBX/aqytHLzXdktSMRERFR/djW9Q4vvfSSmuG4du1a9OjRQ122c+dOLF26FLNmzVI/r1y5EgMHDqznkoiIiIiIiPRr3rZYNVesZ6Q3Wge5V18+tHUAFj3YD/fN241j53Jx2zfb8cKo1ioYYNs43ZOZmtJpskcTbzRtxGotCZqn9o7AfxcdwZzNZzC5Z7hZvL4LqqoUe0R6I6+oTAUuErDLycfFHtd3CsaELqFoG+yuHq+Ejf8eTlYtSjefTKtu+ynkz8W0PhEI9nSCsQtwd0S/Fn4qxJ6/JwGPDY+CMZMwcU5VxbXMOpTXwsYKuKt/U4xoE4hn5x/AllPpeH3pUSw6kIi3J3SAj6s9nvzjQHVQL7MH5XKZ62iq/N0dcV2HYBX+S9XjJ7d21tm+i8vKce/c3dgdmwl3R1vMnd4Dzf1d8eKYNmgR4IoXFxzCkgNJiM8owNe3d0Ogh6O6nwT0a46lqO3hrRk8EhEREdWHVWVthgdcYPPmzfjss88QHR2tfm7ZsqWa9dinTx+YopycHHh4eCA7Oxvu7v//0IGIiIiIiMxPUWk5+ry1Rs0V/HJSF1zbPuiSlTLP/nUQC/drZoGN7RSMN8e3h7N9nb+7SZch1VuD3luHuIwCNQ/sxkaseBS5RaXo/eYa5BWXqVCifwv9z5fU9+Pp9toqNatUwvP2oR44mpSjwt0F+xLVnDutlgFuCPBwxJZLhI1jOgRhVPsgk2sx+c++BDzy6z6EeTthw1ODjTpIlhmD0u5TwuDNzw6Bo53NedfLxzR/7DqLV5ccUVW5ttZWcHW0RVZBqaqIfHF0G0wyk7D8UEI2xny6ST3Gjc8MRpCHk06CXXl+JXB3trfBvLt6oku413m3kWp2+YKJzMeUytFvpnZDh1BPbD2Vjltnb1OB7s4XhsFGSmmJiMjk8fN/osZVp14cpaWluPPOOxEcHIxffvkFe/bsUSfZNtXQkYiIiIiILMviA0kqdAz2cFRVQ5ciAePHEzup2Wvygfg/+xIx7fudKiwj3dh2Jl2Fjq4OthjVvvHbebo52lWHnXM2a6rPTNmKw8kqdGzq54J2Ie7VQaJUeG17bgi+m9YNo9sHwd7GGtHJuapyTkLHVoFueHJEFNY8MRDLHumPGYObm1zoKKRS0MXeBvEZhapVqbGSUHH2Rs1Mw9t7R1wUOgoJFG/uHoZVjw/EyLYB6nWS0FFeTwmVJ/eKMIvQUbQL8VCV5/IYf9gS2+D9ye/oZ/46qEJHea/PntLtotBR9Gzqg4UP9lOtblNyi3HTrK1YtD8Rq45q2qwOaeXP0JGIiIionur0dV07Ozv89ddfqt0qERERERGRqZEP/eds0XzoP7l3BGxtLv9dTPlg/85+keqDcZkTtuNMBn7dGY/beoY34orNl8wTFNd1DDZYJanM95SWl2uiUxCTlo8mJhi41az4E+M6hVwUSsn7fEirAHXKLijFskNJyCkqVa2FmzVii1t9crK3wQ1dQjBvWxw+XnUCvZv6GGU4tydOM89QZjJKgHi1FrJf3d4Nq48mIya9QFU5XiqoNHXSbnb7mQz8siMODw9tXu/fB/L7febiI/hrz1kVGn52W2f0be572duHeTvjr/v7qEpZaa/60C97VYWkuNyXUoiIiIjo6uo8fXzcuHFYsGBBXe9GRERERERkFB/6H0rIUR/6T+xeuwBR5uU9MUIzM+6tZUeRmvv/lpVUP9mFEn6dU9u3dA8z2Dqksm9wSz/IAJIftza82spQUnKL1IxGbVvgK/FwtsPEHuG4Z0AzswkdtR4Y1FxVuUmIJTMS9Ukq62q2r60tmWUobugUAl9Xh1rdRwJiCefMMXTUPr4IH2f1e0FaA9fXhyuPV8/OfO+mDhjRNrBWlc9SFXl3/0j1c0FJufr7oX+LyweWRERERHRldf4aWYsWLTBz5kw157Fr165wcTn/G6EPP/xwXXdJRERERETUKOZUtfIb1ylYzfCqrdt7RagqGgkt31h6FB/e0kmPqzR/MjtT2oJKm8OOoR4GXcu0vpFYG52KP3bF4/ERUar1q6lZvD8J0gW4c7gnInxMt2qzoYI9nVRFsoRP7/0bjT7NdFP1mF9chmPnctXMTDkdScpB9LlcFVJN69ME/7muTa2OE59RgOVVgfv0qqCLoKoT7+jTBP9ddATfbY7BpJ4RsK5jm9PZG07jkzUn1farY9vihs6hdTr+C6PboEWAG15acEiF95znS0RERFR/df6X1LfffgtPT0/s3r1bnWqSf2gzeCQiIiIiImOUnFOEZQeTqlts1oW0qnx9XHuM+2Iz/t6bgJu6hqLPFVr4Ue3arN7cLczg7TD7N/dVcxFPp+Zj/p6zmNK7bu8NY2qzOrbjlasdLcEDg5vh151x2BuXhbXRKaq9bF3JDFhp+3kkURMyxqTnq6rYS5GQU97CMg/2au9lua0ExFJNFxXgVud1mbObuoXh/ZXHcSYtX71uUgVZW/KlgdeXHlXbT41sidvr+WdYfh9d3zEYDrZ1bg5GRERERDXU+V9TZ86cuezp9OnTdd0dERERERFRo/hpWyzKKirRvYkX2gbXvcquY5inqnwULy44hOKycj2s0vxJmHMwIRt2NlYY36X2VUn6IpVVUrVWHQxJMmRCJKjZfzZbVW2NYfAIfzdHTK0Knt7/97ia+1cXJWUVuG32Nry7IhpLDiap51d24efmgIFRfrhvYDN8PLETVj0+AG+Ob6/u8/3mGLy57NgVjyUzNX+rCtzv6t+0QY/RHLk42OLWHuHntaOtjYNns/HCgkNq+96BTTFjcPMGrUPa2Rr6yxBEREREpo69I4iIiIiIyOxJSPjzjji1Pa1P/VscPjmypZpNeDotH1+tP42Hh7bQ4Sotw++7NOHL8DYBdWp3q08SgL67PFpVPW48maYCJlOxYK+m2rFfc99azww0d/cObIZ522JxODEHKw6fwzXtgmp930/XnFBtVeW9ee+ApmgT7I7WQe6XfG6b+7uhorISL/x9CF9vOK3C36dHtrxkcCVVvnnFZWjh74oBnB94SVKJLqGjzOeULyjIc38lWQUluG/ebhUWD2sdgGdGtmq0tRIRERGRjoPHs2fPYuHChYiLi0NJScl5133wwQf12SUREREREZHeLDmQhLS8EgS6O2JE27q3XtRyd7TDS2Pa4OFf9uKztSdVW74mvpY7U6+uikrLVatabVtDYyFzHaXV43ebz2DO5jMmEzxKhZ22zeq4zqx21JLQcHq/SDXz74OVxzG8TaAKBa9mf3wWvlh3Sm2/Nq4dRrW/emAp8wjLKyrx8j+H8eW6U7CztsLjI1qed5uy8gpVFSlkXayou7QQTydc0y5Q/b6WP4vv3dTxsreVyuRHf9uHhKxChHs74/2bO9Z5LiQRERERGUmr1dWrV6Nly5b48ssv8f7772Pt2rX4/vvv8d1332Hfvn36WSUREREREVED/LBF86H/5F7hsLNp2Pyu6zoEqRltUmXz0j+H6tzK0ZKtPJKM7MJSBHk4on8L4wr3pvSOULP61kanqvaapkBarMakF8DJzgYj2gQaejlGZXr/pnB3tMXx5DwsPpBYq1D8iT/2qxDxuo7BtQodtWQuqMx4FBJ2frzqxHnXrzicrAIyHxd7jOscUo9HYzkkmBUL9yUiJbfosrf7dM1JrItOVfMYv5zcBR5Odo24SiIiIiK6kjr/j/u5557Dk08+iYMHD8LR0RF//fUX4uPjMXDgQNx000113R0REREREZFe7Y3LVAGNva119QyxhpBqpVfHtlP723giDYsOJOlknZbUZvXGrqG1qkBrTFK5OqSl/3lBtam0WZW2tTIjj/5Pgqh7BmhmKX606oSqOrySD1cex8mUPDXLceb1bet8vDv7ReKFUa01+1p1HJ+vPVl93bebTqvzSb0i1AxBurwu4V7oFOaJkvIKzNumaY99ofXHU/HR6uNq+/Ub2tdrZi8RERERGVHwePToUUyZMkVt29raorCwEK6urpg5cybefvttfayRiIiIiIio3uZUhUjXdQiGj45m4ElI9eDg5mr71cVHVBUfXdnZzAJsOpmmtm/qajxtVmua1reJOv9z91nkFhn3aypBmraSj21WL21a30jVdlUqWOdXhbSXsjs2A19v1ISDb97QHl71nD1694CmeOYazZzBd1dE46v1p7A7NhN74rJgb2ON23tF1PORWGbV40/bYlUl6oW/Rx75dS+k0Fy+SCJfYiAiIiIiEw8eXVxcquc6BgUF4dQpzfwDkZam+U8kERERERGRMUjJKcLSg5qKxGl9NKGSrtw7sCma+rogNbcY7/8brdN9m6M/dp1VYUGfZj4I93GGMerX3BfN/V2RV1yGv3afhTHbfCpdzS31crYzura1xjS78/6BzdS2tD+V9sgXKiwpx5N/HFDvzQldQjGsTf1nwIr7BzXDE8Oj1Paby46pkEwbDks1JV3dte0CEezhiPT8kuoZpqK4rBwzftqDrIJSdAj1wH+u07S3JSIiIiITDR6lojE/Px+9evXCpk2b1GWjRo3CE088gddffx133nmnuo6IiIiIiMhY/LQ9DqXllega4YX2obptx+dga4PXxrVT23O3xWJ/fBbMkTyuDcdTVcBaV1KttP10Oj5bcwI/bY9Vl93S3TirHbVtdKdWBdQ/bI1FRYXxzu/UBjKjOwQ1eG6pOZvcKwL+bg5qxuJvVa1+a3pnxTFVERno7oiXdRRkPTS0BR4Z2kJtn80srG7FSrVja2Nd/efw201nqufozlx0RLXN9nS2w+e3dWHbWiIiIiIjVeshEK+88gruu+8+fPDBB8jLy6u+TLZ/++03tGjRQl1HRERERERkDKS66ecdmhlh2g+xda1Pc1/c0DkEf+9NwPN/H8Q/M/qqD83NxcGz2bjhi83Q5m9SsdU6yB1tgtzROshNnUf6ulQ/5pyiUtVacueZDOyMycD++Gw1q03Lx8UeI9sGwpiN7xyCd5Zrwqj1J1IxuGruo74dOJuFrafScX2nYAR5OF3xtlKlt+LQObU9rlNIo6zPVDnZ22DG4Ob4z8LDKgC/qWtodWC17XQ6vt+sacX81oT2ai6krjw6rAXKKyrx2dqTGNLKH60C3XW2b0swsUc4Pl59AseT81SL5pScYvVFEisr4KNbOiHM2zirpomIiIioDsGj9htmTZtqhrNr267OmjVLPysjIiIiIiJqYEWYVOlJtZO07tOX50e1xuqjyTicmKMqH+/oaz6VTR+uOq5CRzdHW9V+VJ7P1NxUVQGp5WBrjZaBbipkOZqUUx1SaklY2aOJN7o38VJtLI29SsnFwRa3dAvDN5vOYM7mGL0Gj1IRuvhAEuZujVGVXOLTNSfx7LWtcFuPcFhbW13yfquOJiO/pByhXk6qmpeubGKPMDVvMTG7SIVXMkMwv7gMT/25X11/a48wDNLx6yzVs0+MiMK17QMR4eOi031bAgmBJSSWyuO3lh3DyRTNF+ClklTXrxURERERGSh41P7DmYiIiIiIyNhJCPblulPVLQ712YpSgrVnrm2FF/4+hPf/PY4xHcxjltu++CysOZYCG2srLHywHwLcHRB9LhdHknJUwHgkMQfHzuWioKQcB6pCMxHh44zuTbxV2Ngj0lv9bGr/l5zSuwm+3XwG64+nqsBD5j7qUnxGAeZti8Xvu+KRWVCqLrO3sVZB4um0fLy44BAW7k/EW+Pbo6mf62XbrI7tFGxyz60hSFvkh4e2wLPzD+LLdScxsXsY3lh6FPEZhQjxdMILo/UzK1Bem7bBum3xbEnkSxw/botVX+oQA6P88PAQTQtbIiIiIjKT4DEqKuqq/6nJyMho6JqIiIiIiIgaZNmhJBXgSNWMzHjTt1u7h+O3nfEqgPt49XG8Nq49TN2HK49Xt/KUdqqic7iXOmnJDMTYjAIVREqTnG5NvBDg7ghTF+7jjGGtA7DySDJ+3BqDmWM1szwbQp4rCTJlf+uOp6rnS0jwNalXOG7uFgYvZ3t1/TvLo7HjTAau/XgjHhsehbv6RVa3s83ML8G6aE3FKdus1t6ErqH4cv0pxKYX4JFf96mqUfHujR3g6lCnj0aokTTxdcHQVgHqtZI/J9Ji9XJVwERERERkPOr0r2uZ6ejhobtv63355ZfqFBOjmanQtm1bvPzyy7j22mvVz0VFRXjiiSfw66+/ori4GCNHjsQXX3yBgICA6n3ExcXh/vvvx9q1a+Hq6oqpU6fizTffhK0t/+NARERERGSJZEzE52s11Y7T+jRplFBBPgyXlqsTv96GX3bEY1qfSJ1XyTUmmdMoIZlUOz48tPkVH7eEktpg0pzc0aeJCh7/3H0WT4xo2aD5f+uiU/DSP4dUhZ3WgCg/3N4rQs3/k+e5+rh9I1XoKTNDN55IU20mFx9IxNsTOqjquSUHk1BWUanma7YIcGvw47QUUvUsbTof/31/deg4pXeEmtNKxuvlMW3UbNi7+kfCy8Xe0MshIiIiolqo0//AJ06cCH9/3fXSDw0NxVtvvYUWLVqoDwd++OEHjB07Fnv37lUh5GOPPYYlS5bgjz/+UIHngw8+iPHjx2Pz5s3q/uXl5Rg9ejQCAwOxZcsWJCUlYcqUKbCzs8Mbb7yhs3USEREREZHpkPagUoHnYm+DO/o2abTj9mrqg2Gt/bHqaAreXn4Ms6d0g6n6aJWm2nFClxCLnU/Xu5kPWga4ITo5F5+sPoGXxtSvHWd6XjEe/mUvcorK4O5oqyobJ/WKuGJYG+btjB/v7IG/9iTg1cVHcCghB9d/thn3DmiKbafT1W3GdQ6u92OzVGM7heDztSdxKjVftQCWWZpk/NXHb9/YwdDLICIiIqI6sKqUxK8WbGxsVLCny+DxUry9vfHuu+/ixhtvhJ+fH37++We1LY4dO4bWrVtj69at6NWrF5YtW4YxY8YgMTGxugpy1qxZeOaZZ5Camgp7+9p9Gy4nJ0cFm9nZ2XB3d9fr4yMiIiIi87b9dDpm/LwHbYI9MKVXBAZfUM1E+iX/vRn/5RbsjctSIc1zo1o36vFPpuRi5Ecb1YzJ3+/trWYcmppdMRm4cdZW2FpbYe2Tg1QIZqmk6nPqdzsgf4RlzmW7kLp3AHr6z/34fddZtA12x5/39YGTvU2d7p+SW4T/LjyMpQfPVV8mE1C2PDsEQR5OdV6PpZP390erTuCZa1qhfSjnLxIREVkCfv5P1Lg0QyJqoZb5ZL1J9aK0VM3Pz0fv3r2xe/dulJaWYtiwYdW3adWqFcLDw1XwKOS8ffv257VelXas8ovk8OHDlz2WtG2V29Q8ERERERE1VFl5hWqnmJZXgg3HU3HXj7sw4J21+GLdSVX1RPq39VS6Ch3tba0xvX9kox+/ub8bbukeprZfX3pU7/+P0ocPq6odb+oWatGhoxgY5YcxHYJQUQm8sOCQCpTrYk9cpgodhcyJrGvoKPzdHPHFpK6YNbkr/Nwc1GV9mvkwdKynbk28Me+ungwdiYiIiIgMHTxWVFTopdrx4MGDajajg4MD7rvvPvz9999o06YNzp07pyoWPT09z7u9hIxynZDzmqGj9nrtdZcjMyDlGw7aU1iY5oMBIiIiIqKGkFlwx5Pz1Cy4u/pFwtPZDglZhXhneTR6v7kGj/22T83OM8UwylR8tvakOp/YPUwFNobw6LAWcLa3wf74LCw+kARTq9jdfDIddjZWmDH48rMdLYm0WHVzsFWv58874mp9PwkpX/7nkNq+sWsoukZ4NWgd17QLxKrHBuKt8e3x4c2dGrQvIiIiIiIigweP+tKyZUvs27cP27dvx/3334+pU6fiyJEjej3mc889p8qqtaf4+Hi9Ho+IiIiIzF9BSRk+WKmpFHtoSHO8OKYNtj03FO/e2AEdQj1QUl6Bv/cmYMKXWzDm0034dUccikrLDb1ssyLVZVtOpasWofcObGawdUjgee8AzfHfWXEMxWXlJlftKHMIQ70su9pRK8DdEU+ObKm231l+TLU+rY1fdsSp2YxujrY6myXo4WyHiT3C4e9umFCdiIiIiIjI6INHqWps3rw5unbtqioRO3bsiI8//hiBgYEoKSlBVlbWebdPTk5W1wk5l58vvF573eVIdaX0cq55IiIiIiJqiNkbziAltxhh3k64vXeEuszRzgY3dQtTs+H+mdFXVT1JC9DDiTl4dv5BTPluR51bN9LlfVFV7XhD5xCEeBq2DeXdAyLh7+aA+IxCzN0aC1Ow5VQatp3OgL2NNasdLzC5VwTah3ggt6gMry85etXbZ+SX4N0V0Wr7ieFR8HXVtEglIiIiIiIydwYPHi/V0lVmMEoQaWdnh9WrV1dfFx0djbi4ODUDUsi5tGpNSUmpvs3KlStVkCjtWomIiIiIGoNUQH214ZTafnpkKzjYXjzHrWOYJ967qSO2PzcUz49qBRd7G+w4k4F520wjlDJ2R5NysOpoCqytgPsHGa7aUcvZ3haPD49S25+uOYnsglIYM2n/+9HKE2p7Yo8wBBs4uDU2NtZWeOOG9ur99c++RGw6kXbF27+74hiyC0vRKtBNhZZERERERESWwqDBo7Q83bBhA2JiYlSAKD+vW7cOkyZNUrMXp0+fjscffxxr167F7t27cccdd6iwsVevXur+I0aMUAHj7bffjv3792PFihV48cUXMWPGDFXVSERERETUGD5adQIFJeUqXBzTIeiKt/Vyscc9A5pVt16U1o2JWYWNtFLz9XlVteOo9kFo6ucKYyAVrlEBriqA+nydZn3GSuY67ojJUBW5DwxiteOltA/1wJTeTdT2S/8cumyrZJkF+etOzTiPV8e1g62N0X3fl4iIiIiISG8M+j8gqVScMmWKmvM4dOhQ7Ny5U4WHw4cPV9d/+OGHGDNmDCZMmIABAwao9qnz58+vvr+NjQ0WL16sziWQnDx5strfzJkzDfioiIiIiMiSnEzJxW9VIcMLo1rDysqqVveb1DMCXSO8kF9Sjpf/OaQqzqh+TqfmYcnBJLVtTC1CJXDSBsxzNscgPqOg0Y5dVl6B3bGZqjLvajMm5b2nne14W49wBHpwfuDlPDEiSrXQPZOWj1nrNVXONVVUVFb9eQbGdw5B9ybeBlknERERERGRoVhV8hMO5OTkqArL7OxsznskIiIiojq564edqsXn8DYBmD2lW53uezw5F6M/2YjS8kp8MamLqtajunvqj/34Y/dZDGvtj2+mdocxkf9u3TZ7O7aeTsfYTsH4eGJnvR3rbGYBNhxPw4bjqdh8Kk3NIxSuDrYY0sof17YLxMCWfqoNbE3rj6di6nc74GBrjY1PD4a/O4PHK1lyIAkzft6jZmGueGwAIn1dqq/7ZUccnpt/EG4Otlj95ED4u/G5JCIiIjI0fv5P1LjO/x8nERERERHV2rbT6Sp0lPlv2sq2uogKcMP9A5vhkzUn8Z+Fh9G3mS88nO30slZzJWHb33sTjK7aUUsqYJ8f1RrXfbZJzQac3i8SHUI9dbLvgpIybD+doYLDDSdScTo1/7zrPZzsVJiYkluMhfsT1cnRzhqDovxxbftAFUZKKPnhSk21o8wiZOh4daPaB2JglJ963l9acAhzp/dQr3NWQYlqnSweHS6VkXwuiYiIiIjI8jB4JCIiIiKqB2mp+MbSo2r71h5haFbPuYIPDG6OxQeTVGj01vKjeHN8Bx2v1Lx9veE0yioq0be5DzqHe8FYZwOO6xSMBfsS1Xvml7t71bol76WUV1TiufkHsGBvIkrKK6ovlwC8U5gnBrTww4AoXxVwylH2xmdh+aEkLDt0DmczC7H88Dl1koq9jmEe2BefpQLJ+wY209EjNm/y2s0c2xYjPtyATSfTVKA7tlMI3l0RjcyCUrQMcMPU3hGGXiYREREREZFBMHgkIiIiIqqHRQcSceBsNlzsbfDI0Kh678fRzgZvje+Am7/ail92xKsAo1dTH52u1Vyl5Bbh16r5msZY7VjTkyNbYumhc9h2OgNrjqVgaOuAeu/rn30J+H3XWbUd4umkQkYJG/s091VVjheSWaJyksrLw4k5WFYVQkrYvTMmU91mSu8m8HNzaMAjtCwRPi54aEhzvPfvcby6+Ah8XBzw8444dZ2EkjLfk4iIiIiIyBIxeCQiIiIyk+q7Y+dy0cTX+aL5baR7xWXlqrpJSJVYQwObHpHeuLVHuJoP9/zfB7H04f4qkKQr+3bjGZSUVaBLuCd6G3lYG+rljDv6NMFXG07jzWXHMCDKD3b1CKdKyyvw8eoTavvx4VEq/Kpt9aTcrl2Ihzo9NbIVTiTnqgAyNbcYDw4x7uDWGN09oKlq83sqNR/Tvt+BykqoOZ49jfy9SEREREREpE/8VIqIiIjIhJ1OzcP8PQnqw++ErEJ0i/DC7/f2hrV1/ds40tX9uCVWtawMcHfAXf2b6mSfMiNy1dFkVYX2xdqTeHxES1iyyspKFJdVIL+4DAUl5chT52XILy5X57lFZZi3LVbdVkKzhrQubSzSVveP3WdxMiUPc7fG4s5+kXXex/w9ZxGbXgAfF3s1L7Ihj7tFgJs6Uf042NrgtXHtcevsbardr1Q/S1UpERERERGRJWPwSERERGRisgtKVZtPCSD2xGWdd92u2Ez8sjMOk3pyvpi+ZBWU4NM1moqzJ4a3hJO9bioTpUXmK9e3xQM/7cGX609hTMdgRJlpKBSfUYDErEKk5ZUgNbcIqXnFSMstUedSfSen9PxilJZXXnVfbYLcMbilP0yBvMZPjmipqlo/XHVcVcf5uNa+WlaqOz9ZfbK60tbFgf+dM7TezXwwsXuYavkr7XQD3B0NvSQiIiIiIiKD4v9UiYiIiExAWXkFNpxIxV+7E7DyaLIKIIQUNkrLxgldQlWQIy0c3152DCPaBHJem558tuYkcorK0CrQDRO6hup039e2C8Sw1gGq8vHZvw7gz/v6mF316txtsXhpwaE63cfJzkaFbC4ONqqVsFSWOTvYqiDv3gFNTaLaUeuW7mH4aXusmrX43r/ReHN8h1rf9/dd8aqyWf5sT+7FLxcYi9dvaI+7+keiub95flGAiIiIiIioLhg8EhERERm59cdT8eQf+1UVmJYKvbqEYmznYPi7OVaHk1IJeSghB28sPYoPb+lkwFWbp5i0fPy4Nba6NaqNjkNBCdBeHdcWW0+lqWpWCahu790E5iIjvwTvLj+mtsO8nRDk7gRfN3v4uTqoMM236ly77e5kp0JHXT/PhiSP5b/Xt8VNs7aqKjmpTpaZi1dTVFquQm8xY1AznVXakm5eU4aOREREREREGgweiYiIiIzYuugU3DN3t6pwlJluYzuFYELXENVe8sIqL1sba7w+rj3GfbFZzXy8qWso+jT3NdjazU1peQUe+W0fSsor0L+FLwZG+enlOEEeTnj6mlb4z8LDeHt5NIa1CVCXmYMPVkaratHWQe5Y/FA/swoU66J7E29c3zEYC/cn4r8LD+OP+3pftWrz1x1xOJdThCAPR0zsEd5oayUiIiIiIiKqC+s63ZqIiIiIGrXSURs6jmwbgK3PDcXL17VB22CPy4YUHcM8cXtVC8YXFxxCcVl5I6/afH248jj2x2fBzdEWb03ooNf2ntJGs3O4J/KKy/DSgsOorLz6rENjd+xcDn7eHqe2/3NdG4sNHbWeG9VKVXPKXFYJIK+ksKQcn687pbZnDG4ORztWOxIREREREZFxYvBIREREZKSh490/7qoOHT+7rQvsbWv3T7cnR7ZUrSpPp+Xjq/Wn9b5WS7DlVBq+XK8Jft4a3wEhnvqtQJRQTo5jZ2Ol5j3+tScBpkyC01cXH0FFpWaOZa+mPrB0UsX64JDmaltaI+cXl132ttJyV1oty/vu5m5hjbhKIiIiIiIiorph8EhERERkZDbUCB1HtAnAp7d2gZ1N7f/Z5u5oh5fGtFHbn609qeYSUv1l5pfg8d/2Q4oOb+kWhtEdghrluC0D3fDosCi1Le044zMKYKpWHknG5pPpKjx/flRrQy/HaEzvF4lwb2ck5xTji3Wa+Y0XkkDyy6pqx4eHNq/1FxCIiIiIiIiIDIH/ayUiIiIyIhtP/D90HN6mbpWONV3XIUjNIZT9vPTPIbNo1WkI8rw989cBNVuvqa8L/nO9JtBtLPcNbIZuEV6q5eoTv+9HuZQMmhhp9/v60qNq+65+kQjzdjb0koyGtEx9cbQmiJ294Qxi0y/+ksAPW2OQnl+CCB9njO8SaoBVEhEREREREdUeg0ciIiIiIwod7/phF4rLKjCsdQA+r2foKGT+4Ktj26n7bzyRhkUHknS+Xkvw0/Y4/HskWbU8/eTWznC2t23U40vL1Q9u7gQXexvsiMnA1xtMr3XunM0xiE0vUO1/HxisaS1K/ydfMFBfEiivwGtLNAGtVm5RafVr/vCQFnWqfCYiIiIiIiIyBP7PlYiIiMgIbDqRViN09McXk+ofOmo18XXBg1VBj8zXyy4s1dFqLcOJ5Fz1vIlnrmmFdiEeBllHuI8z/nNdW7X9wcpoHE7MhqmQuYSfrtG0EH16ZEu4OjRucGsK5EsC/7muDWytrVRLWpnvqvX95hhkFZSiqZ8LxnUOMeg6iYiIiIiIiGqDwSMRERGREYSO03/YqULHoa388bkOQketewc2VS1CJQB6/99onezTEhSVluOhX/aq10Sq0e7sG2nQ9dzULVTN+ywtr8Rjv+1T6zMF8p6TNrEdQj0wgW1CL6u5vxum9mmitmcuOozS8gpkF5Ri9kZNtaPM+pTqVyIiIiIiIiJjx+CRiIiILiktrxjfbDyNM2kXzxwj3aioqMRP22OrQ8chrfzxxeQucLC10dkxZF+vjWuntudui8X++Cyd7ducvbXsGI6dy4Wvqz3ev7kjrA0c+khV3Jvj28PX1QHHk/Pw7opog8y7XHIgCXO3xqhQ7GoOJWTjt13xavvlMW0M/hwau4eHtoCPiz1Opebjhy0x+HbTaeQWlSEqwBVj2gcZenlEREREREREtcLgkYiIiM4jlVSfrz2JQe+uU/PGJn+zHfnFZYZeltmRQPfW2dvwwt+Hqisdv9Rx6KjVp7kvbugcgspK4Pm/D6KsvELnxzAna44lY86WGLX97o0d4e/mCGPg4+qAd25sr7a/3XQGm0+mNdqxjybl4OavtmLGz3vw0j+H0fPNVXjmzwMqXLxcSDlz8RH1nruuYzC6NfFutLWaKg8nOzx9TUu1/fGqE/hus+Y9+NiwKIa2REREREREZDIYPBIREVF19d38PWcx+L11qppK2iNKa7+ErEK8s/yYoZdnNiT0m7X+FK75aAO2n8mAk52Nqgb7eko3vYSOWs+Pag13R1scTsxRlY90aSk5RXjqjwNq+46+TTC4lT+MyZBWAZjUM1xtP/nH/lpVHjZETlEpXll0GGM+3YSdMZnq/SoVeEWlFaqaUS6/4YvN6ndHzfavyw6dw44zGXC0s8az17bS6xrNyU1dw1Rb2tziMvU7uHWQO0a2DTT0soiIiIiIiIhqzapSvo5s4XJycuDh4YHs7Gy4u7sbejlERESNbsvJNLy+9KgKpUSIp5OqvPFytseU73aoy36/tzd6RFpG1dIfu+Lx34WHYW1lBWcHG7jY26pzZzvb//9sbwMXB1t0CvPEgCg/eLvYX3W/RxJz8PRf+3EoQfM8y+zAN25ojzBvZzQGaesqFZYSHv11fx+0CTaPf/ek5xXjlx1x6BLuhV5NfepdHSbh+9Tvd2DjiTQV+CyY0UevYXB9FZSUYfQnm1TV7PUdg/HJrZ11fgz5L8KCfQl4fckx1XZZjGofiBdHt0GQhyN2x2aqAHvpwSQ1d1LIn4Gbu4Xhxq6hmPb9DpzNLFTtQx8fHqXz9ZkzeW4nfLlFbc+e0g3D2wQYeklERERERCaNn/8TNS4Gj/zFQ0REFuxkSi7eXHoMq4+lqJ/dHGwxY0hzTOvTBI52msDl2b8O4Ned8Yj0dcGyR/pXX26uCkvK0f+dNUjLK6n1faysgI6hnhjc0h+DWvqhfYjHeeGXVIJ9tuakqnQsq6hUlYcvjWmjAhqZ3ddYJFibNmcnNhxPRaiXExY92A9etQhMjd3Dv+zFwv2JajvYwxE3dAnB+C6haObnetX7yj+FZZajBGgyv/B0Wr6q0lv8UD8093eDsdoXn6XCqfKKSnw8sRPGdgrR2b6PncvBywsOY0dMhvq5qa8L/nt9WxWwXyg1txi/74rHT9tikZhddN51ge6OWPPkQDjb2+psbZbi1x1xyCwoxX0Dmzbq7wgiIiIiInPEz/+JGheDR/7iISIiCyQVTB+uPK4CRQkubK2tMLlXhKpOurByT1otDv9gPZJzinHvgKZ4blRrmLPvNp1Rs+kkmPvhzh4qiCxQpzJ1LvMu1XlJGdLzStScPQmuavJxscfAKD8MbKmphJTqyVOp+dVVYxLiGGpuYFZBCcZ+vhmx6QXo29wHP9zRA7Y2ptt9PyW3CH3fWqOq7iQ4lxaVWlKNOqFrKK7rEARP5/+/r+Wfv9HJuVh6IAmLDybhdNVrIxxsrfHOjR10GuTpy0erjuOjVSdUkL380QEI9nRq0P5yi0rV/mS+pfxekAD2oSEtcFf/yKtWfkoL4TXHUlQVpFSMCl0HokRERERERPXBz/+JGheDR/7iISIiC1JSVoE5W87g09UnqwOaEW0C1Ay2pleoDlt9NBnTf9gFKeKb/0BfFeiYI6lMHPjuWhWyvn5DO0zqGVGr+yVlF2J9dCrWRqdg88l0NZvtQn5uDnh1bFtc0y4IhhZ9LlfN5ZMA9a5+kXhxTBuYqs/WnMB7/x5H53BP/HJ3L6w6moz5exKw/niqCs+EvY01hrb2x+gOQTh+LhdLDiZVB8HqeltrDIryU9cPbR0AVwfTqNCTsG/CrK3YH5+FnpHemHdXT9jVM0ROzCrEjV9uqa5avKZtIF66ro1qu1xX0gJWKiEtpTUzEREREREZN37+T9S4GDzyFw8REVkA+et+1dEUvL7kCGLSC9Rl0g70xdGt0bOpT6328eive7FgXyKiAlyx6KF+Rjn7rqHmbYvFiwsOqRl2654aVK/HKOGuzGhbF52CddGpKoQZ1zkYL4xqAw9nOxiL5YeScN+8PWr7w1s64obOoTA1Erz1f2ctkrKLLnoMUgm5cF8i/tx99qKKVG0YKRWpo9tL2OgPN0fjeW3qQt5fYz7ZiPySckzuFY7XxrWvV+B+06ytOJiQjTBvJ7w6th0GtfTXy3qJiIiIiIgaGz//J2pcDB75i4eIiMyczGt7bfFRbDqZVl159/TIlpjQJfS8OYRXk5FfolqupueXqJasjw+PgjkpLa/AoHfXISGrEP+9rg2m9Y3UyX7ln1rGOqPtvRXR+GztSdVe9M/7+qB9qAdMyYrD53Dv3N2qne2WZ4dcdv7okcQc/LXnrAqDI31dMbpDoKpsdDfRsPFCq44k4+65uyD/qp85ti2m9G5Sp/fnE3/sV1WiXs52WPhgP4R5O+t1vURERERERI2Jn/8TNS7THehDREREVw0KX1xwEKM+3qhCR2kn+cCgZlj75CDc1C2sTqGjkHBn5th2avuLtSdVmGNO/t6ToEJHX1cHTOwRrrP9GmvoKB4bHoUhrfxRXFaBe+fuUrM/Ta1CVdzcLeyyoaNoE+yOl8a0weonBuGbqd1UZaS5hI5iWJsAPHNNK7X9yqIj2Hgitdb3/X5zjAodbayt8NltXRg6EhEREREREVGDMHgkIiIyMxUVlfh20xkMenct5m2Lg4y5u7ZdIFY/PhBPX9OqQfPrRrUPVLPfyioq8dSf+1WVoDmQlp2frzuptu8d0PSKIZY5kbDpw1s6oamvi5rt98BPe0zmNT2dmoeNJ9Igue6knroLik2VvG/HdwlRcy1n/LRHPT9Xs+VkGl5felRtPz+qNfo2922ElRIRERERERGROWPwSEREZGa+WHcSry4+gpyiMrQOcsev9/TCl5O76qSSSar3Zo5rCw8nOxxOzMHXG07DHCw6kIjY9AJV1Tmpl2WFWPJafj2lqwqkd5zJwGuLj8AUSKguhrT0Z5Ve1Z/NN8e3R9cIL/Vn/64fdiG7oPSyt4/PKMCMn/eooHJ85xDc2bf27VmJiIiIiIiIiC6HwSMREZEZiUnLxydrNJV7z17bCosf6odeTX10egx/N0e8PKaN2v549QmcTMmFKZPg5bOq52x6v0g429e/ItRUNfd3U5WP4oetsfh9ZzyMWUFJGf7YrVnj7b0jDL0co+Fga4Ovbu+KEE8nnE7LV8HipSpYC0vKcc/c3cgsKEX7EA+8Mb69UbcEJiIiIiIiIiLTweCRiIjITFRWVuKlfw6hpKwC/Zr7qtaL0kpTH6Sl46CWfupYT/95QIV3pmrZoSScSs1XlX9TLDjEGt4mAI8Ni1LbLy44hL1xmTBWC/clIreoDOHezhjQws/QyzEqMqNU5lg629uo2a5S/Xzh74mn/zqAo0k58HGxV0GlpbQWJiIiIiIiIiL9Y/BIRERkJpYcTFIz7+xtrfHquHZ6rWCSfb9xQ3vVnnNPXBa+23QGpjoPU1vteEffJnBztIMle2hIc4xoE4CS8go1JzC78PKtOg1FgrMft8aq7cm9wmGtp3DdlEmL5Y9u6aTmX8pzNXeb5vkS0h550f5E2Fpb4YtJXRDs6WTQtRIRERERERGReWHwSEREZAZyikrxyiJNZdOMQc0R6eui92NKYPHcqFZq+41lRzF7w2kVCpmSlUeTcexcrgpQ7+gTCUsnId4Ht3RChI8zErOL8J9/DsHYSNB9JCkHDrbWuKlrmKGXY7RGtA3EkyNaqu3/LjyMzSfTsOF4Kt5efkxd9p/r2qCnjtswExEREREREREZNHh888030b17d7i5ucHf3x/jxo1DdHT0ebcpKirCjBkz4OPjA1dXV0yYMAHJycnn3SYuLg6jR4+Gs7Oz2s9TTz2FsrKyRn40REREhvP+imik5hajqa8L7hvUtNGOe2v3cNzeKwKSN76+9Khq0Vl2iZlyxkhC0k/XnFDbU/tEwMPZsqsdtSSE/eDmTpBCwgX7ElV1nD5kF5Rif3yW2v+++Kxa329eVfXedR2D4eVir5e1mYsHBjXDDZ1DVCvkB37ag4d+2QvpinxLtzBM7mW5bYWJiIiIiIiISH9sYUDr169XoaKEjxIUPv/88xgxYgSOHDkCFxdNpcZjjz2GJUuW4I8//oCHhwcefPBBjB8/Hps3b1bXl5eXq9AxMDAQW7ZsQVJSEqZMmQI7Ozu88cYbhnx4REREjeLA2Sz8WBXGSItVB1ubRq2Qmzm2raqQk+Dxp+1xOJtZiM9u62z0bUvXRafiUEKOmoU3vV/jhbWmoGuEF2YMbo5P15xUYXL3Jt4I9HCsVyVu9LlcxKTlIy6jADHpBYhLz1fnF7ZxndaniaqgvdL7Nz2vGEsOJKltS57HWZeWyG+Ob4+Y9HzsjdOEu53DPTFzXFu9tmImIiIiIiIiIstlVWlEPdFSU1NVxaIEkgMGDEB2djb8/Pzw888/48Ybb1S3OXbsGFq3bo2tW7eiV69eWLZsGcaMGYPExEQEBASo28yaNQvPPPOM2p+9/cXfhC8uLlYnrZycHISFhanjubu7N+IjJiIyHxIwyAfbV/trxcPJDp3CPPmht45IJdPYzzepAG1cp2B8NLGzwday/NA5PPrbXhSVVqBVoBu+m9bdaOfHyft0/Jdb1Hv2ngFN8fyo1oZektEpLa/AhC+34MDZbPRv4Ysf7uhRp3mKW06m4Z65u5FXfPkuFP5uDgjycMT+s9nq53Yh7vj01i6XbRX8xbqTeGd5NDqGeuCfB/vV41FZppTcItw2e7v6ffHrPb0Q4F73EJmIiIiIiMhUyef/UtTEz/+JLKDi8ULyB194e3ur8927d6O0tBTDhg2rvk2rVq0QHh5eHTzKefv27atDRzFy5Ejcf//9OHz4MDp37nzJFq+vvPJKozwmIiJLcDIlD7fO3qZafdbG0Fb+eGtCB/i5Oeh9beZu7tYYFTq6OdrihdFtDLqWa9oF4jeP3pj+wy41N/GGLzbj26nd0S7Eo9FDxat9rWrLqXQVOsqcwLv6c7bjpdjZWOPDWzph9CcbsfFEGn7YGoM7+kbWOnT8X3v3AVd1vf9x/CNTBFygKCri3ltxa8NSS8syU+uae5tXW17LrH+3a/NmWTkzsbTcZsNduXLiHri3KIiIMgRl/B+frx6ulBoIh3MOvJ6PB4/DmfwY33MOv/fv8/n0mbnNhNB+Bd2lUnFvCfApIIE+BSSgqKcE+uppASngdvOt6G8Hw+XlebvN33KHCetl3NO15Mm6pdI9poZmszefNp/TJjRzinvnlxUjWpm14eLMiHcAAAAAAJAHgseUlBQZMWKENG/eXGrWrGkuu3DhgqlYLFy4cLrbasio11luc3voaLnect2djB49Wl566aW/VDwCAO4vdOw2dbNExiaa6qXiBe8dJh6+ECu/HoyQtp+uMy0A29YokWPbmtuEX02Qj1ceNp+PalfVLoLcOmUKyw9Dm0mf4G1yODxWnp2ySSZ0qydtqqd/rb5fUXHX5djFWImMSZSLsYkm7I68dXrz8+vm9HoG50x2DwowoQzurEIxL1MNOnbJfnl/2UFpUdFXKvl53/M+G4/9L3R8sEoxmdyjwd+2/32oqp8s/WdL+eecXbL1RJQ53Xj0krz9RA3xcLt53zWHIuRc9DUpXMDVzHdE5jibalUqzQEAAAAAQB4JHnXW4759+2TDhg1W/1ru7u7mAwCQPZWOGvxoa83v+jeRop5/bXF9u4MXrsrIubsl9PxVGfjtdunSoLSM7Vjd7ucBZoVWGf2w65ysPhAh3YLKSMtKxbLlcd/5+YBpY6mta58LChB7UbpIAVkwuJkMnb3DVMoN+DZExnaoLr0yWC13N6sOhMvQ73bI9aSMhYp/x8fTTQa1rpAtj5Wb9WhSVlaHRsi6wxdlxNxdsnhIc3FzuXPV3KZjl0zobAkdJ/3j70NHi5KFPOS7fo1lwm9H5fPfjsjckDOy4/Rl+fL5+lLZz1u+2XRzjumzDctIftecm2MKAAAAAAAABwsehw0bJj///LOsW7dOSpcunXZ5iRIl5Pr16xIdHZ2u6jE8PNxcZ7nN1q1b0z2eXm+5DgBgHVp1ZmmvmtHQUVUtUdBUxI1fdUSmrDsm87eflU3HL8l/u9SRxuV9JLc5ExUvry/eawI49cve89K6cjFTRValxL0rx+5Fq79+2XPeVDGNe6pWpmbv5YSC+V3NjMc3f9gnc7adkbd/OiAnL8XLmx2q36q8ypwNRyJNkKmVjDoTUGdHFvNyN1WevrdOb37uZk49b7XwvBdPd5e7Bmj4H53H+tEztU2V8v6wq/LZr4fl1bZV/3K7zcf/Fzo+cCt0zGxAqG1AX3qksjQpV1T+OXeXHImIlSe+2CBDHqgoaw9fFB0N+3xj+wnZAQAAAAAAkF6+VC3DsBH90i+++KIsXrxY1qxZI5UqVfrLzMdixYrJ999/L507dzaXHTp0yMx5tMx4XLZsmXTo0EHOnz8vxYsXN7eZOnWqvPrqqxIREZGhykaGywLAfYSOUzdLRCZDxz/TloovzdslZy9fM4HCgFblTeiQ0Qope6bz6II3npSPVxySazeSTcDVplpxU7V3IzlVNHvr2qiMjGxTWYoXzFyrz4QbyfLo+HVyOipe+rUoJ2M62Ha249+91k9ee1w+WH7QnG9bw08+61YvU4FUyMko6TF9q/k56v2/fK4+c+psYNne8zJ49g7ztztvYFNpGHhzJrcldOw9Y5v5HWmwPqVH5kPHP9NK6pFzd6WF9koDzeDeQVl6XAAAAABA3sL+fyAPBY9DhgyR7777TpYsWSJVqlRJu1yfBDw8PMzngwcPlqVLl0pwcLB5UtCgUm3cuNGcJicnS926dcXf318+/PBDM9exR48e0q9fPxk3blyGtoMnHgDIuOMXb850zGroaKGtQv/90wHTVlHpY47vWleqlXTc52NtJztq4V7ZfSbanA8qV1Tef7qWlC/mJScj4+TDFQdl6d6bc4gLuDnLwFYVpH+rclIgA1V6SsPML34/air/Vr3UWrzc7aKBwT39tDtMXp6321Qs1g8oLF/1bJShv5u9Z6/Ic9M2S0xikgm0pr6Q8dadyH56oMCiHeekTFEPWfbPVuZvb8vxS9Irm0NHi5SUVJmy7rh8vPKQCfNn9GokD1a9eaAZAAAAAAAZwf5/IA8Fj9q6605mzJghvXr1Mp8nJCTIyy+/bKoeExMTpW3btjJx4sR0bVRPnTplAkqtmvT09JSePXvK+++/Ly4uGdsRyxMPAGTMicg46TZ1k4RfvRk6zu7XWHy8smdm7sr9F2T0or1yKe66uDk7yYfP1JZO9UqJI0lMSpYvfzsqE9cck6SUVPF2d5HRj1WTbo3K/KUV6vZTUfLuL6Gy8/TNcLK4t7u88mgV6dygdLpWpFrdqJVfGvRqW9uw6GsybmmoqZqc/I8G0q6m47QV14Cq/zchcjUhScr5ekpw70ZS1sfzrrc/HB4jXadsksvxN0x4O7N3kHi4ETra0tWEG9L+0/VyLvqaPNuwtHSuXzotdGylwXA2ho5/DvP1b/+hqn7Z/tgAAAAAgNyN/f9AHgoe7QVPPACQudCxip9WOmZf6GihwdroRXtkdWiEaec48fn60q5mSXEE205Gyb8W7pFjF+PM+Uer+8m/O9UUv3u0UdWXYK18fH95qJyJumYuq1Tcy8wotASNV67duON9H65aXL7q2fCuB/HYq6MRMdLz620muPLxdJPpvRpJ3TL/m+NsoZWhXaZsMj+DOqULyax+jcU7v6tNthl/DZC7Tdss+g5SWwhfT0qRlpV8ZdoLDa0SOgIAAAAAkBXs/wdyFsEjTzwAHLjlqVYZ1fAvZNWvo60Od56JlqGzd8iFqwlS2c/LtFf1zebQ8fav99rCPbJg+1lxdc5nwowHqthna0UNXJbtOy/fbjolIacum8s0NHzniRqmEjGjoaBWSupjfP7b0TsGjVoBqo+rH1oZWa6YpwxuXUEKF7j/Fre2FHE1QfrM3Cb7zl2V/K5O8kX3+tKm+v8q2Uw13eRN5lQra+cMaOKw32tu9d6yUJmy9rj5nNARAAAAAGDP2P8P5CyCR554ADigYxdjpcOEDSZ47NGkrIx+rGqG5wNmRERMgqw/HCnrjly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+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "execution_count": 5
+ }
+ ],
+ "id": "a1b2c3db"
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Compare ensembles side by side\n",
+ "\n",
+ "Because every ensemble is just a `Forecaster`, you can drop your `WeightedEnsemble` into a `TimeCopilotForecaster` next to the built-in `MedianEnsemble` and any regular model (here `AutoETS`). This runs them together and returns one column per forecaster, so you can compare them directly."
+ ],
+ "id": "9e9085a0"
+ },
+ {
+ "cell_type": "code",
+ "metadata": {},
+ "source": [
+ "from timecopilot.models.ensembles.median import MedianEnsemble\n",
+ "from timecopilot.models.stats import AutoETS\n",
+ "\n",
+ "tcf = TimeCopilotForecaster(\n",
+ " models=[\n",
+ " WeightedEnsemble(models=models, weights=[2.0, 1.0, 1.0]),\n",
+ " MedianEnsemble(models=models),\n",
+ " AutoETS(),\n",
+ " ]\n",
+ ")\n",
+ "\n",
+ "fcst_df = tcf.forecast(df=df, h=12)\n",
+ "fcst_df.head()"
+ ],
+ "execution_count": 6,
+ "outputs": [
+ {
+ "output_type": "stream",
+ "text": [
+ "100%|██████████| 1/1 [00:00<00:00, 11.16it/s]\n",
+ "100%|██████████| 1/1 [00:00<00:00, 11.60it/s]\n"
+ ],
+ "name": "stdout"
+ },
+ {
+ "output_type": "execute_result",
+ "data": {
+ "text/html": [
+ "\n",
+ "\n",
+ "
\n",
+ " \n",
+ " \n",
+ " \n",
+ " unique_id \n",
+ " ds \n",
+ " WeightedEnsemble \n",
+ " MedianEnsemble \n",
+ " AutoETS \n",
+ " \n",
+ " \n",
+ " \n",
+ " \n",
+ " 0 \n",
+ " AirPassengers \n",
+ " 1961-01-01 \n",
+ " 434.490509 \n",
+ " 444.309570 \n",
+ " 442.357178 \n",
+ " \n",
+ " \n",
+ " 1 \n",
+ " AirPassengers \n",
+ " 1961-02-01 \n",
+ " 429.840576 \n",
+ " 418.213745 \n",
+ " 428.267365 \n",
+ " \n",
+ " \n",
+ " 2 \n",
+ " AirPassengers \n",
+ " 1961-03-01 \n",
+ " 450.629410 \n",
+ " 446.243408 \n",
+ " 492.974792 \n",
+ " \n",
+ " \n",
+ " 3 \n",
+ " AirPassengers \n",
+ " 1961-04-01 \n",
+ " 481.439613 \n",
+ " 476.343262 \n",
+ " 477.369995 \n",
+ " \n",
+ " \n",
+ " 4 \n",
+ " AirPassengers \n",
+ " 1961-05-01 \n",
+ " 503.482880 \n",
+ " 499.237061 \n",
+ " 477.602814 \n",
+ " \n",
+ " \n",
+ "
\n",
+ "
"
+ ],
+ "text/plain": [
+ " unique_id ds WeightedEnsemble MedianEnsemble AutoETS\n",
+ "0 AirPassengers 1961-01-01 434.490509 444.309570 442.357178\n",
+ "1 AirPassengers 1961-02-01 429.840576 418.213745 428.267365\n",
+ "2 AirPassengers 1961-03-01 450.629410 446.243408 492.974792\n",
+ "3 AirPassengers 1961-04-01 481.439613 476.343262 477.369995\n",
+ "4 AirPassengers 1961-05-01 503.482880 499.237061 477.602814"
+ ]
+ },
+ "metadata": {},
+ "execution_count": 6
+ }
+ ],
+ "id": "f4f21935"
+ },
+ {
+ "cell_type": "code",
+ "metadata": {},
+ "source": [
+ "tcf.plot(df, fcst_df)"
+ ],
+ "execution_count": 7,
+ "outputs": [
+ {
+ "output_type": "execute_result",
+ "data": {
+ "image/png": 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+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "execution_count": 7
+ }
+ ],
+ "id": "a125a34e"
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Recap\n",
+ "\n",
+ "Building a custom ensemble comes down to subclassing `Forecaster`, setting an `alias`, and implementing `forecast`. Because it is a regular `Forecaster`, the same class can be:\n",
+ "\n",
+ "- dropped into a `TimeCopilotForecaster(models=[...])` alongside other models,\n",
+ "- passed to the agent via `forecasters=[...]`,\n",
+ "- cross-validated with `ensemble.cross_validation(...)`.\n",
+ "\n",
+ "For a complete reference implementation, including probabilistic (quantile) forecasts, see the built-in [`MedianEnsemble`](../api/models/ensembles.md)."
+ ],
+ "id": "a1b2c3dc"
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": ".venv",
+ "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": "3.11.12"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 5
+}
diff --git a/docs/examples/explaining-foundation-models-and-ensembles.ipynb b/docs/examples/explaining-foundation-models-and-ensembles.ipynb
new file mode 100644
index 0000000..e89c77b
--- /dev/null
+++ b/docs/examples/explaining-foundation-models-and-ensembles.ipynb
@@ -0,0 +1,317 @@
+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "id": "a1b2c3d4",
+ "metadata": {},
+ "source": [
+ "# Explaining Foundation Models & Ensembles\n",
+ "\n",
+ "This example shows how to give the `TimeCopilot` agent your own foundation models and an ensemble, and then ask plain-English questions to understand and compare them."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "id": "b2c3d4e5",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "import nest_asyncio\n",
+ "\n",
+ "nest_asyncio.apply()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "c3d4e5f6",
+ "metadata": {},
+ "source": [
+ "## Import libraries"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "id": "d4e5f6a7",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "import pandas as pd\n",
+ "\n",
+ "from timecopilot import TimeCopilot\n",
+ "from timecopilot.models.foundation.chronos import Chronos\n",
+ "from timecopilot.models.ensembles.median import MedianEnsemble\n",
+ "from timecopilot.models.stats import SeasonalNaive"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "e5f6a7b8",
+ "metadata": {},
+ "source": [
+ "## Load the dataset\n",
+ "\n",
+ "The DataFrame must include at least the following columns:\n",
+ "- unique_id: Unique identifier for each time series (string)\n",
+ "- ds: Date column (datetime format)\n",
+ "- y: Target variable for forecasting (float format)\n",
+ "\n",
+ "The pandas frequency will be inferred from the ds column, if not provided.\n",
+ "If the seasonality is not provided, it will be inferred based on the frequency.\n",
+ "If the horizon is not set, it will default to 2 times the inferred seasonality."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "id": "f6a7b8c9",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
+ "\n",
+ "\n",
+ "
\n",
+ " \n",
+ " \n",
+ " \n",
+ " unique_id \n",
+ " ds \n",
+ " y \n",
+ " \n",
+ " \n",
+ " \n",
+ " \n",
+ " 0 \n",
+ " AirPassengers \n",
+ " 1949-01-01 \n",
+ " 112 \n",
+ " \n",
+ " \n",
+ " 1 \n",
+ " AirPassengers \n",
+ " 1949-02-01 \n",
+ " 118 \n",
+ " \n",
+ " \n",
+ " 2 \n",
+ " AirPassengers \n",
+ " 1949-03-01 \n",
+ " 132 \n",
+ " \n",
+ " \n",
+ " 3 \n",
+ " AirPassengers \n",
+ " 1949-04-01 \n",
+ " 129 \n",
+ " \n",
+ " \n",
+ " 4 \n",
+ " AirPassengers \n",
+ " 1949-05-01 \n",
+ " 121 \n",
+ " \n",
+ " \n",
+ "
\n",
+ "
"
+ ],
+ "text/plain": [
+ " unique_id ds y\n",
+ "0 AirPassengers 1949-01-01 112\n",
+ "1 AirPassengers 1949-02-01 118\n",
+ "2 AirPassengers 1949-03-01 132\n",
+ "3 AirPassengers 1949-04-01 129\n",
+ "4 AirPassengers 1949-05-01 121"
+ ]
+ },
+ "execution_count": null,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "df = pd.read_csv(\n",
+ " \"https://timecopilot.s3.amazonaws.com/public/data/air_passengers.csv\",\n",
+ " parse_dates=[\"ds\"],\n",
+ ")\n",
+ "df.head()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "a7b8c9d0",
+ "metadata": {},
+ "source": [
+ "## Build foundation models and an ensemble\n",
+ "\n",
+ "Every model in TimeCopilot is a `Forecaster`, including foundation models and ensembles. Here we instantiate two lightweight, CPU-friendly Chronos checkpoints and a `SeasonalNaive` baseline.\n",
+ "\n",
+ "We then wrap them in a `MedianEnsemble`, which combines its members by taking the per-step median of their forecasts, a simple and robust way to blend models."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "id": "b8c9d0e1",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "chronos_bolt = Chronos(repo_id=\"amazon/chronos-bolt-tiny\", alias=\"Chronos-Bolt\")\n",
+ "chronos_t5 = Chronos(repo_id=\"amazon/chronos-t5-tiny\", alias=\"Chronos-T5\")\n",
+ "seasonal_naive = SeasonalNaive()\n",
+ "\n",
+ "ensemble = MedianEnsemble(\n",
+ " models=[chronos_bolt, chronos_t5, seasonal_naive],\n",
+ " alias=\"MedianEnsemble\",\n",
+ ")"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "c9d0e1f2",
+ "metadata": {},
+ "source": [
+ "## Initialize the agent with your models\n",
+ "\n",
+ "Pass your foundation models and the ensemble to the agent through the `forecasters` parameter. The agent exposes them to the LLM by their `alias`, so it can cross-validate, select, and reason about each one when you ask questions."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "id": "d0e1f2a3",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "tc = TimeCopilot(\n",
+ " llm=\"openai:gpt-4o\",\n",
+ " forecasters=[chronos_bolt, chronos_t5, seasonal_naive, ensemble],\n",
+ " retries=3,\n",
+ ")"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "e1f2a3b4",
+ "metadata": {},
+ "source": [
+ "## Generate forecast"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "id": "f2a3b4c5",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "result = tc.analyze(df=df)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "a3b4c5d6",
+ "metadata": {},
+ "source": [
+ "## Ask questions about the models\n",
+ "\n",
+ "Now you can interrogate the analysis in natural language. The agent grounds its answers in the cross-validation results of the models you provided."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 7,
+ "id": "b4c5d6e7",
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "The model that performed best is the \"Chronos-Bolt\" model, which achieved the lowest MASE score of 1.2913, as reflected in the evaluation results. The Mean Absolute Scaled Error (MASE) is used to evaluate the performance of forecasting models, and lower scores indicate better performance.\n",
+ "\n",
+ "Reasons for Chronos-Bolt's superior performance could include:\n",
+ "\n",
+ "1. **Capability to Capture Trends**: The \"AirPassengers\" time series exhibits a strong trend component, with a trend strength of approximately 0.9972. Chronos-Bolt might be better at capturing trends due to its model architecture or feature selection.\n",
+ "\n",
+ "2. **Handling Seasonality**: The series has a marked seasonality with a seasonal period of 12 months. The model likely captures this effectively, indicated by the strong seasonal strength of approximately 0.9815 in the series.\n",
+ "\n",
+ "3. **Robustness to Anomalies**: Although anomalies were detected within the data, Chronos-Bolt's performance suggests it effectively handles such irregularities without much degradation in accuracy.\n",
+ "\n",
+ "These characteristics might have contributed to the Chronos-Bolt model's superior performance in forecasting this time series.\n"
+ ]
+ }
+ ],
+ "source": [
+ "print(tc.query(\"Which model performed best and why?\").output)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 8,
+ "id": "c5d6e7f8",
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "The \"MedianEnsemble\" model combines the forecasts from multiple foundational models by taking the median of their predicted values for each time point. This ensemble approach is often used to enhance the stability and accuracy of forecast predictions by leveraging the strengths while minimizing the weaknesses of the individual models.\n",
+ "\n",
+ "Here's how the MedianEnsemble likely combines the forecasts:\n",
+ "\n",
+ "1. **Aggregate Predictions**: At each time point for which a forecast is needed, the ensemble collects the forecasted values from the different base models used within the ensemble. For instance, models like Chronos-Bolt, Chronos-T5, and SeasonalNaive might all provide predictions for the same month.\n",
+ "\n",
+ "2. **Calculate Median**: The median value of these predictions is calculated. The median is a measure of central tendency that is less sensitive to outliers and individual model extremes than the mean. This can be especially beneficial if one or more models produce predictions that are significantly off-mark for certain points, potentially due to anomalies or model-specific biases.\n",
+ "\n",
+ "3. **Generate Final Forecast**: The median value at each time point is then used as the final forecast from the MedianEnsemble model.\n",
+ "\n",
+ "This approach helps in providing a consensual forecast that is deemed robust, as it somewhat averages out the idiosyncrasies and noise from individual models. It's particularly advantageous in situations where there's variability in forecast reliability across time points or when handling data with anomalies, as it tends to smooth out inconsistency from individual forecasts.\n"
+ ]
+ }
+ ],
+ "source": [
+ "print(\n",
+ " tc.query(\n",
+ " \"Explain how the MedianEnsemble combines the foundation models' forecasts.\"\n",
+ " ).output\n",
+ ")"
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": ".venv",
+ "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": "3.11.12"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 5
+}
diff --git a/mkdocs.yml b/mkdocs.yml
index 6920ca9..0e8e275 100644
--- a/mkdocs.yml
+++ b/mkdocs.yml
@@ -31,11 +31,9 @@ nav:
- examples/finetuning.ipynb
- examples/cryptocurrency-quickstart.ipynb
- examples/sktime.ipynb
- - examples/patchtst-fm.ipynb
- - examples/pandas_baseline.ipynb
- - examples/dask.ipynb
- - examples/pyspark.ipynb
- - examples/ray.ipynb
+ - examples/custom-ensembles.ipynb
+ - examples/explaining-foundation-models-and-ensembles.ipynb
+
- Experiments:
- experiments/gift-eval.md
- experiments/fev.md
@@ -172,4 +170,4 @@ plugins:
- griffe_inherited_docstrings:
merge: true
-copyright: 2025 - TimeCopilot
+copyright: 2026 - TimeCopilot