{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "

EDIPI Training Event 1&2, November 2021

\n", "

Introductory exercises: data analysis with xarray and scipy

\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Imports\n", "\n", "First cell in notebook should always contain all necessary imports" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import xarray as xr\n", "import scipy.stats as stats\n", "from matplotlib import pyplot as plt" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Load the dataset and take a look at the contents\n", "The dataset contains a single variable called 'tmax' with time coordinate 'time'.\n", "\n", "The 'tmax' variable is ERA5 daily-maximum surface temperature from the Pacific Northwest area of the USA for the period 1950-2021." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "
<xarray.Dataset>\n",
       "Dimensions:  (time: 26298)\n",
       "Coordinates:\n",
       "  * time     (time) datetime64[ns] 1950-01-01 1950-01-02 ... 2021-12-31\n",
       "Data variables:\n",
       "    tmax     (time) float32 -9.767 -13.07 -15.17 -12.89 ... nan nan nan nan\n",
       "Attributes: (12/21)\n",
       "    title:                      spatial statistic of "ERA5 reanalysis, https:...\n",
       "    description:                tmax era5 index\n",
       "    scripturl01:                https://climexp.knmi.nl/get_index.cgi?email=$...\n",
       "    minimal_valid_fraction:      30.00\n",
       "    file:                       ERA5/era5_tmax_daily_na_extended.nc\n",
       "    cdi:                        Climate Data Interface version 1.9.10 (https:...\n",
       "    ...                         ...\n",
       "    cdo:                        Climate Data Operators version 1.9.10 (https:...\n",
       "    ave_region:                 lon= -123.125 -118.875, lat=   44.875   52.125\n",
       "    comment:                    \n",
       "    scripturl02:                https://climexp.knmi.nl/dat2nc.cgi?id=$id&sta...\n",
       "    history:                     2021-11-03 18:34:46 bin/dat2nc data/itmax_er...\n",
       "    Conventions:                CF-1.0
" ], "text/plain": [ "\n", "Dimensions: (time: 26298)\n", "Coordinates:\n", " * time (time) datetime64[ns] 1950-01-01 1950-01-02 ... 2021-12-31\n", "Data variables:\n", " tmax (time) float32 ...\n", "Attributes: (12/21)\n", " title: spatial statistic of \"ERA5 reanalysis, https:...\n", " description: tmax era5 index\n", " scripturl01: https://climexp.knmi.nl/get_index.cgi?email=$...\n", " minimal_valid_fraction: 30.00\n", " file: ERA5/era5_tmax_daily_na_extended.nc\n", " cdi: Climate Data Interface version 1.9.10 (https:...\n", " ... ...\n", " cdo: Climate Data Operators version 1.9.10 (https:...\n", " ave_region: lon= -123.125 -118.875, lat= 44.875 52.125\n", " comment: \n", " scripturl02: https://climexp.knmi.nl/dat2nc.cgi?id=$id&sta...\n", " history: 2021-11-03 18:34:46 bin/dat2nc data/itmax_er...\n", " Conventions: CF-1.0" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ds = xr.open_dataset('itmax_era5_index.nc')\n", "ds" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Extract the tmax data array and plot it\n", "\n", "Clearly, the summer 2021 of was an extreme event, you can read about it [here](https://www.worldweatherattribution.org/western-north-american-extreme-heat-virtually-impossible-without-human-caused-climate-change/)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "tx = ds['tmax'] # tx now contains the tmax data" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(15,5))\n", "tx.plot();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# The properties of time\n", "The 'time' coordinate is a datetime64 object, which provides lots of powerful functionality in xarray, see [here](http://xarray.pydata.org/en/stable/user-guide/time-series.html)\n", "\n", "In particular, the .dt method gives access to a lot of information: “year”, “month”, “day”, “hour”, “minute”, “second”, “dayofyear”, “week”, “dayofweek”, “weekday”, “quarter” and \"season\". " ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "
<xarray.DataArray 'time' (time: 3)>\n",
       "array(['1950-01-01T00:00:00.000000000', '1966-07-14T00:00:00.000000000',\n",
       "       '2001-09-11T00:00:00.000000000'], dtype='datetime64[ns]')\n",
       "Coordinates:\n",
       "  * time     (time) datetime64[ns] 1950-01-01 1966-07-14 2001-09-11\n",
       "Attributes:\n",
       "    standard_name:  time\n",
       "    long_name:      time\n",
       "    axis:           T
" ], "text/plain": [ "\n", "array(['1950-01-01T00:00:00.000000000', '1966-07-14T00:00:00.000000000',\n", " '2001-09-11T00:00:00.000000000'], dtype='datetime64[ns]')\n", "Coordinates:\n", " * time (time) datetime64[ns] 1950-01-01 1966-07-14 2001-09-11\n", "Attributes:\n", " standard_name: time\n", " long_name: time\n", " axis: T" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dates = ds['time'].sel(time = ['1950-01-01', '1966-07-14', '2001-09-11']) # can select specific dates as strings\n", "dates" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "
<xarray.DataArray 'dayofyear' (time: 3)>\n",
       "array([  1, 195, 254])\n",
       "Coordinates:\n",
       "  * time     (time) datetime64[ns] 1950-01-01 1966-07-14 2001-09-11
" ], "text/plain": [ "\n", "array([ 1, 195, 254])\n", "Coordinates:\n", " * time (time) datetime64[ns] 1950-01-01 1966-07-14 2001-09-11" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dates.dt.dayofyear # the day of year at those dates" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "
<xarray.DataArray 'season' (time: 3)>\n",
       "array(['DJF', 'JJA', 'SON'], dtype='<U3')\n",
       "Coordinates:\n",
       "  * time     (time) datetime64[ns] 1950-01-01 1966-07-14 2001-09-11
" ], "text/plain": [ "\n", "array(['DJF', 'JJA', 'SON'], dtype='" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(15,5))\n", "tx_2011_2020_summer.plot()\n", "tx_2011_2020_summer_mean.plot.line(marker='o');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Compute a smoothed seasonal cycle\n", "\n", "Use [.groupby](http://xarray.pydata.org/en/stable/generated/xarray.DataArray.groupby.html) to group data by day of year and average over all years -- this gives a \"raw\" seasonal cycle\n", "\n", "Apply [.rolling](http://xarray.pydata.org/en/stable/generated/xarray.DataArray.rolling.html) to the raw seasonal cycle to compute a 31-day running-mean smoothed seasonal cycle; you will need to use [.pad](http://xarray.pydata.org/en/stable/generated/xarray.DataArray.pad.html) with mode='wrap' to extend the raw seasonal cycle periodically, so the running mean window doesn't run out of data at the beginning and end " ] }, { "cell_type": "code", "execution_count": 70, "metadata": {}, "outputs": [], "source": [ "# daily seasonal cycle\n", "tx_sc = tx.groupby(tx['time'].dt.dayofyear).mean()\n", "\n", "# smooth seasonal cyle with moving average over window of specified width\n", "window = 31\n", "pad = int(window/2)\n", "tx_sc_smooth = tx_sc.pad(dayofyear=(pad,pad), mode='wrap',center=True).rolling(dayofyear=window,center=True).mean().dropna(dim='dayofyear')\n", "\n", "# remove seasonal cycle from data\n", "tx_nosc = tx.groupby('time.dayofyear') - tx_sc_smooth" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(15,5))\n", "tx_sc.plot()\n", "tx_sc_smooth.plot()\n", "plt.legend(['raw','smooth'])\n", "plt.title('Smoothed seasonal cycle (degC)');\n", "plt.ylabel('temperature (degC)');" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(15,5))\n", "tx_nosc.plot()\n", "plt.title('Deseasonalised data (anomalies from annual cycle, degC)');\n", "plt.ylabel('temperature (degC)');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Extract annual block maxima (i.e. the maximum temperature for each year in the dataset)\n", "\n", "Use [.groupby](http://xarray.pydata.org/en/stable/generated/xarray.DataArray.groupby.html) to group data by year and extract the maximum value for each year" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "tx_bm = tx.groupby(tx['time'].dt.year).max()" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAA3UAAAE9CAYAAACsmksIAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjQuMywgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/MnkTPAAAACXBIWXMAAAsTAAALEwEAmpwYAACIE0lEQVR4nO3dd3zbd50/8NdHw7Jly3vFO4lHs5rRNE2TDq60pMymZY9S4KDAcffj4AjQ4+444DgK5Tjg7phXoMwelJKW1dK90iTN3o4z7DgesS1bsmVt6fP7Q/oqsi3J2vP1fDz8iP21JH/jryV939/PewgpJYiIiIiIiCg3qTK9A0RERERERBQ/BnVEREREREQ5jEEdERERERFRDmNQR0RERERElMMY1BEREREREeUwBnVEREREREQ5TJPqHyCEUAPYB2BISvkGIUQ1gP8D0AGgH8DbpJRTkR6jtrZWdnR0pHhPiYiIiIiIstP+/fsnpJR1ob6X8qAOwMcBnARQ7v/6swCeklLeK4T4rP/rz0R6gI6ODuzbty+1e0lERERERJSlhBAD4b6X0vRLIUQLgNcD+N+gzbcBeMD/+QMAtqdyH4iIiIiIiPJZqmvqvgng0wC8QdsapJQjAOD/tz7UHYUQdwsh9gkh9o2Pj6d4N4mIiIiIiHJTyoI6IcQbAIxJKffHc38p5Q+klBullBvr6kKmjhIRERERERW8VNbUbQXwJiHE6wAUAygXQvwcwCUhxBIp5YgQYgmAsRTuAxERERERUV5L2UqdlPIeKWWLlLIDwDsAPC2lfA+ARwHc5b/ZXQAeSdU+EBERERER5btMzKm7F8AtQog+ALf4vyYiIiIiIqI4pGOkAaSUzwJ41v+5EcCr0/FziYiIiIiI8l1agjoiIiIiIqJstvPgEO57vBfDJhuaKkuwY1sPtq9vzvRuRYVBHRERERERFbSdB4dwz8NHYXN5AABDJhvuefgoAOREYJeJmjoiIiIiIqKscd/jvYGATmFzeXDf470Z2qPYMKgjIiIiIqKCNmyyxbQ92zCoIyIiIiKigtZUWRLT9mzDoI6IiIiIiArajm09KNbODY1KtGrs2NaToT2KDYM6IiIiIiIqaNvXN+Mzt14R+Lq5sgRfuWNNTjRJAdj9koiIiIiICFe1VwEA/ve9G3HzyoYM701suFJHREREREQFz2hxAgBqyooyvCexY1BHREREREQFzzjrD+pKdRnek9gxqCMiIiIiooJntDgAcKWOiIiIiIgoJxlnnSjWqqAvUmd6V2LGoI6IiIiIiArehMWBmlIdhBCZ3pWYMagjIiIiIqKCZ7Q4UZuDqZcAgzoiIiIiIiIYZx2oKcu9JikAgzoiIiIiIiJMWpyoLuVKHRERERERUc6RUmJi1pmTnS8BBnVERERERFTgLA43nG4vanNwRh3AoI6IiIiIiAqc0eIfPM6VOiIiIiIiotxjnFUGj3OljoiIiIiIKOdMKCt1bJRCRERERESUeyZnmX5JRERERESUs4wWX/olRxoQERERERHloAmLE4ZiDXQadaZ3JS4M6oiIiIiIqKAZZ52ozdEmKQCDOiIiIiIiKnBGiyNnm6QADOqIiIiIiKjAGS3OnG2SAjCoIyIiIiKiAmecdaK6lOmXCwghioUQe4UQh4UQx4UQX/BvXyeE2C2EOCSE2CeE2JSqfSAiIiIiIorE65WYnHWgNodX6jQpfGwHgJuklBYhhBbAi0KIPwP4IoAvSCn/LIR4HYCvAXhVCveDiIiIiIgoJJPNBa/M3cHjQAqDOimlBGDxf6n1f0j/R7l/ewWA4VTtAxERERERUSTKjLqaHO5+mcqVOggh1AD2A+gE8D9Syj1CiL8H8LgQ4uvwpX9uCXPfuwHcDQBtbW2p3E0iIiIiIipQExYnALBRSjhSSo+Uch2AFgCbhBCrAXwUwCeklK0APgHg/jD3/YGUcqOUcmNdXV0qd5OIiIiIiAqUcda3Usc5dYuQUpoAPAvgVgB3AXjY/63fAGCjFCIiIiIiyojJWd9KXXUO19SlsvtlnRCi0v95CYCbAZyCr4buRv/NbgLQl6p9ICIiIiIiimTC4oQQQJU+d4O6VNbULQHwgL+uTgXg11LKPwghTAC+JYTQALDDXzdHRERERESUbkaLA9X6IqhVItO7ErdUdr88AmB9iO0vArgqVT+XiIiIiIgoWkaLM6ebpABpqqkjIiIiIiLKRsZZB2pKc7dJCsCgjoiIiIiICphxlit1REREREREOctocaImhztfAgzqiIiIiIioQDndXphtLtTk8Iw6gEEdEREREREVqCmrb0Yd0y+JiIiIiIhy0ITFAQBslEJERERERJSLjBbfSl0tV+qIiIiIiIhyz+Sskn7JlToiIiIiIqKco6RfVrP7JRERERERUe4xzjqhVQuUF2syvSsJYVBHREREREQFyWhxoKZUByFEpnclIQzqiIiIiIioIBktzpwfZwAwqCMiIiIiogI1MevM+SYpAIM6IiIiIiIqUJOzDtTkeJMUgEEdEREREREVKKPFyaCOiIiIiIgoF1mdblidHqZfEhERERER5SKjRRk8zpU6IiIiIiKinGOc9QV1tQzqiIiIiIiIco/R4gAA1JQy/ZKIiIiIiCjnKCt11WyUQkRERERElHtYU0dERERERJTDjBYH9EVq6Is0md6VhDGoIyIiIiKigmOcdebFKh3AoI6IiIiIiArQhMWRF01SAAZ1RERERERUgIwWZ16MMwAY1BERERERUQGanHXmRedLgEEdEREREREVGCkljLMO1JQx/ZKIiIiIiCjnTNvdcHkkarhSF5kQolgIsVcIcVgIcVwI8YWg7/2dEKLXv/1rqdoHIiIiIiKi+YwWBwCgNk9W6lI5lMEB4CYppUUIoQXwohDizwBKANwG4EoppUMIUZ/CfSAiIiIiIprDOJs/g8eBFAZ1UkoJwOL/Uuv/kAA+CuBeKaXDf7uxVO0DERERERHRfEaLP6jjSIPFCSHUQohDAMYAPCGl3AOgG8D1Qog9QojnhBBXh7nv3UKIfUKIfePj46ncTSIiIiIiKiDGWV/6Zb6s1KU0qJNSeqSU6wC0ANgkhFgN3+pgFYDNAHYA+LUQQoS47w+klBullBvr6upSuZtERERERFRAlJW6Kj2DuqhJKU0AngVwK4CLAB6WPnsBeAHUpmM/iIiIiIiIjBYHKkq0KNLkxzCAVHa/rBNCVPo/LwFwM4BTAHYCuMm/vRtAEYCJVO0HERERERFRsIlZZ96kXgKp7X65BMADQgg1fMHjr6WUfxBCFAH4kRDiGAAngLv8TVWIiIiIiIhSzmhxoDZPmqQAqe1+eQTA+hDbnQDek6qfS0REREREFMnkrBPL68oyvRtJkx9JpERERERERFEyWpyoLs2f9EsGdUREREREVDA8XolJqxM1ZfmTfsmgjoiIiIiICsaU1Qkpgdo8apTCoI6IiIiIiAqGMqOuJo8apTCoIyIiIiKigmG0OACgsEYaCCFUANYCaAJgA3BcSnkp1TtGRERERESUbMZZ30pdPqVfhg3qhBDLAXwGvqHhfQDGARQD6BZCWAF8H8ADUkpvOnaUiIiIiIgoUcpKXXUepV9GWqn7NwDfBfDh+cPBhRD1AN4F4E4AD6Ru94iIiIiIiJLHOOuESgCVJdpM70rShA3qpJTvjPC9MQDfTMUOERERERERpcqExYnqUh1UKpHpXUmasI1ShBDvEULcGWL7h4QQ70rtbhERERERESWf0eLIq3o6IHL3y38AsDPE9gf93yMiIiIiIsopxllnXnW+BCIHdWop5cz8jf5t+ZOASkREREREBWNy1plXM+qAyEGdVghROn+jEMIAIL9CWyIiIiIiKggTFgeqS/MrnIkU1N0P4CEhRIeywf/5g/7vERERERER5QyH24MZuzvvauoidb/8uhDCAuA5IUSZf7MFwL1Syu+mZe+IiIiIiIiSZNI/eLymLL/SLyPNqYOU8nsAvucP6kSoGjsiIiIiIqJcYLT4g7o8S7+MGNQBgBDik0GfK5+aAeyXUh5KzW4REREREREl14TFASD/Vuoi1dQpNgL4CIBm/8fdAF4F4IdCiE+nbteIiIiIiIiSR0m/LJiauiA1ADZIKS0AIIT4PICHANwAYD+Ar6Vu94iIiIiIiJJDSb8spO6XijYAzqCvXQDapZQ2AI6U7BUREREREVGSTcw6UKRRoUwXzdpW7ojmf/NLALuFEI/4v34jgF/5Z9idSNmeERERERERJZHR4kRtaVFwr5C8sGhQJ6X8khDiTwCuAyAAfERKuc//7XencueIiIiIiIiSxWhx5F2TFCC69EsAKAEwLaX8JoABIcTS1O0SERERERFR8hlnnajJsyYpQBRBnb8xymcA3OPfpAXw81TuFBERERERUbIZLc68a5ICRLdSdzuANwGYBQAp5TAAQyp3ioiIiIiIKJmklDDOOlBboOmXTimlBCABwN8ghYiIiIiIKGdYnR7YXV7UFOhK3a+FEN8HUCmE+BCAJwH8MLW7RURERERElDzKjLp8bJQSTffLrwshbgEwDaAHwL9IKZ9I+Z4RERERERElycSsb8R2PjZKiWrqnj+IiymQE0IUA3gegM7/cx6SUn4+6PufAnAfgDop5UQsj01ERERERBSLSf9KXW1pAa3UCSFm4K+jC0VKWb7IYzsA3CSltAghtABeFEL8WUq5WwjRCuAWABfi2WkiIiIiyi87Dw7hvsd7MWyyoamyBDu29WD7+uZM7xblEaN/pa66kFbqpJQGABBCfBHAKICfwTd8/N2Iovulv7mKxf+l1v+hBIn/CeDTAB6Jd8eJiIiIKD/sPDiEex4+CpvLAwAYMtlwz8NHAYCBHSXNhFJTV6CNUrZJKb8jpZyRUk5LKb8L4M3RPLgQQi2EOARgDMATUso9Qog3ARiSUh5e5L53CyH2CSH2jY+PR/PjiIiIiCgH3fd4byCgU9hcHtz3eG+G9ojykdHiRJlOg2KtOtO7knTRBHUeIcS7/QGaSgjxbgCeRe8FQErpkVKuA9ACYJMQ4koAnwPwL1Hc9wdSyo1Syo11dXXR/DgiIiIiykHDJltM24niYZx15GWTFCC6oO5dAN4G4JL/463+bVGTUpoAPAvgNgBLARwWQvTDF+wdEEI0xvJ4RERERJQ/mipLYtpOFA+jxZmXqZdAFEGdlLJfSnmblLJWSlknpdwupexf7H5CiDohRKX/8xIANwM4KKWsl1J2SCk7AFwEsEFKOZrQ/4KIiIiIctaObT0omZcSV6JVY8e2ngztEeUj46wzL2fUARGCOiHEPwkhqiN8/yYhxBsiPPYSAM8IIY4AeAW+mro/xL+rRERERJSPtq9vxuffuCLwtRDAl7evZpMUSiqjxZG3K3WR5tQdBfB7IYQdwAEA4wCKAXQBWAfgSQD/Hu7OUsojANZH+uH+1ToiIiIiKnAb2n1rCa++oh5PnRpDd+OizdaJoub1SkzOOvO2pi7SSINHADwihOgCsBW+lbdpAD8HcLeUkpWrRERERJQUQ/6mKG++qgVPnRrDS2cmsLq5IsN7VVjyeVbgtN0Ft1eiJg8HjwORV+oAAFLKPgB9adgXIiIiIipQIyY7AGBtayU668uw66wRH75xeYb3qnDk+6zAwIy6PF2pi6b7JRERERFRSo2YbVAJoMGgw5blNdh7fhJOtzfTu1Uw8n1WoNHiAADUFlqjFCIiIiKidBk22VFvKIZGrcKW5bWwuTw4fNGU6d0qGPk+K3Bylit1REREREQpNWK2oamyGACweVk1hABeOjOR4b0qHEsqikNuz5dZgRP+oK46T7tfLhrUCSG6hRBPCSGO+b++UgjxT6nfNSIiIiIqFMMmG5b4A4hKfRFWN1Vg11ljhveqcNzYU7dgWz7NClTSL6v1BRrUAfghgHsAuIDAqIJ3pHKniIiIiKhwSCkxYrajKWi1aMvyGhy8MAWr053BPSscx4en0WDQoUzn66PYVFGMr9yxJi+apACA0eJElV4LjTo/ExUX7X4JQC+l3CuECN7GZxflnXxu40tERMnD94vkm5x1wuH2YknF5VS/LZ21+P7z57Cvfwo3dC9cRaLkOTxowpGLZnzxtlWoKNHi4w8ewo/efzWuaCzP9K4ljXHWgZo8bZICRBfUTQghlgOQACCEeAuAkZTuFVGa5XsbXyLKfgwUcgPfL1JjxOwbZ6DU1AHA1R1V0KoFXjo7waAuxX768gBKi9S4fX0zLk75GqOcvmRJe1CXytfBCYsTNXlaTwdEl375MQDfB3CFEGIIwN8D+Egqd4oo3fK9jS8RZTclUBgy2SBxOVDYeXAo07tG8/D9IjWUDovBTTn0RRqsb63Cy6yrS6mpWSd+f2QYt29ohqFYi2V1pVCrBE6PzqR1P1L9Ojg568zbcQbAIkGdEEIN4KNSypsB1AG4Qkp5nZRyIC17R5Qm+d7Gl4iyGwMFn50Hh7D13qex9LN/xNZ7n87KoJbvF6mh/P6C0y8B4NrlNTg2ZIbZ6srEbhWEX+8bhNPtxZ2bOwAAOo0a7TV6nL6U3qAu1a+DRosjbztfAosEdVJKD4Cr/J/PSinTe3SJ0iRcu958aeNLRNmNgULurFby/SI1Rsx2FKlVC9LjtnbWwiuB3ee5WpcKXq/Ez/cMYNPSavQ0GgLbu+sN6BuzpHVfUvk66PZ4MWV15e2MOiC69MuDQohHhRB3CiHuUD5SvmdEafSpW7oh5m3Lpza+RJTdGCjkzmrljm09KNGq52zj+0Xihs12NFYUQ6Wa+268rrUSJVo1UzBT5Lm+cQxO2nDn5vY527sbDRgwzsI+7zmZSobi0K0+kvE6OGlVBo8XaPqlXzUAI4CbALzR//GGVO4UUbpVlhVBAtCqfW8mjXnWxpeIstuObT3Qaea+JRdaoJArq5Xb1zfjS7etCnytL1Lz/SIJRky2kMOvizQqXL20mkPIU+RnLw+gzqDDtlWNc7Z3N5TBK4EzaVqt+9nL/Zi2u6Ged4U9Wa+DRosvqKst1PRLAJBSvj/ExwfSsXNE6fLArn7UGXT4r3duAAD8z7s28A2aiNJm+/pm3B70mmMo1hRcoJBLq5WrmisCn69tqSyo45QqI2Y7msMc6y3La9A3ZsHYjD3Ne5XfBieteKZ3DO+8uhVF8y4qdTf4UjH7xlJfefWbfYP450eO4+YV9fjaW65EuX/FbkkSL7ArQV1Br9QJIX4shPjR/I907BxROpyfmMWzveN416Y2dDWUAQAGjLMZ3isiKkQVJVo0lhfjlpUNBRco7NjWA8281LtsXa08OTINAFjdXI7BKWuG9yb3ebwSo9N2LKlcuFIHAFuX1wIAUzCT7Od7BqASAu+8pm3B9zpqSqFVC5y+lNqVut8fHsZnfnsE13fV4r/ftQFvvqoV33rnegDAt96xPimvgzsPDuHvfnUAAPC3vzyQdXW6yRJN+uUfAPzR//EUgHIA6a2cJEqhn708AI1K4N3XtKGlqgQqAfQb+SZNROl14MIU1rdVoq1Gj4uT2ZVymA7b1zdjTdAKWHNlSdauVp4cmUaRRoXru+owYrbD7fFmepdy2tiMHR6vXND5UrGyqRzlxRrsOsOgLlnsLg9+/cogblnREPL3XqRRYWltaUrHGjxx4hI+8X+HsLG9Gt+/8yoU+2tVe/yrhL1J6L6pNGCa8ndPHZtxZGUDpmRYdPi4lPK3wV8LIX4F4MmU7RFRGs063PjNvkG8bs0S1Jf7rhA2VZZwpY6I0mra7kLfmAVvuLIJA0ZrwdYPqf0rdTqNCi98+q8WNM3IFidHZtDTYEBHjR4er8SI2Y7Wan2mdytnDZsWDh4PplYJbF5Wg5fOFubzIhX+eGQEU1YX7ry2PextuhoMOHLRlJKf//zpcXzsFwewqrkC979vI/RFl0OSJRXFMOg0SQkoIzVgysYLRomIZqVuvi4AC9dpiXLQwweHMONw464tHYFtHTWlGOBKXd7IhblXRIcHTZASvpW6aj0uzdjhcKev61y2GDHboRKAw+3F2Iwj07sTkpQSJ0emsWKJAa1VvkCOKZiJGTGHnlEXbGtnLS5O2TA4yd91Mvxs9wCW1ZViy/KasLfprjdgcNIGq9Od1J+955wRd/9sH5bVleKB918NQ7F2zveFEOhuNCRlpS5XGjAlQzQ1dTNCiGnlA8DvAXwm9btGlFpSSvx0Vz/WNFdgQ1tlYHt7jZ4rdXkiV+ZeER0YMEEIX/v21uoSSAkMTeXfSUckSl3Van8KZra+Do/POGCcdWLFkvLA6lwhpssm00hgpS58UKcEH4W6ip1MRy+acWjQhDs3t0OI8KvhPY2+PgOJdsAMvrh69b89iTvv34PmyhL8/IPXoFIfuhtlT6MBpy/NQEqZ0M/OpQZMiYqm+6VBSlke9NE9PyWTKBftOmtE35gFd23pmPOi1lFTiimrC2Z//jXlrlyZe0V04MIUuusNMBRrA4HChQJbkRifccDjldi8zHfyPpCl//8T/iYpK5aU++aqCa7UJWrYbENpkTrQ9TCUzvoy1Bl02BVHsxRmbMz1s939KNGq8earWiLerkupbUsgDXL+xdVxiwMuj8Sd17ajNkInyp4GA0xWV8Ir9ju29aBYWxjjYqJZqXsqmm1EueYnu/pRXVqEN1y5ZM729hrfCdXAZHZeJaboFVLaRbbiydTivF6JQ4MmbGivBAC0VSspfYX1dzrsT8G7qr0KapXAhSxNgz854jvBXdFYDq1ahSUVJUwJTNCwyYYllSURV42EENiyvAa7zhpjWr1hxsZcJqsTjxwaxvb1zSifl/Y4X3u1HkVqFfoSWKkLdXFVAvjh8+cj3q87CQEl4GvA9MHrlga+zuYGTIkKe0lECFEMQA+gVghRBUB5ppUDaErDvhGlzOCkFU+dvISPvmp5oNuSor2mFICvA+aVLZUZ2DtKhvEZB1QqAY934Zt/PqZdZCPlZEp5Q1dOpgDk5RtqvM5NzMJsc2F9axUAoK5MhyKNCheTFCjsPDiE+x7vxbDJhqbKEuzY1pOVv38lBa+9Ro/myhL0Z2n65cmRaTRXlqBC7zshbq0uwcUCC8CTbcRsDzl4fL6ty2vxyKFh9I1ZAif9i8nXRhnxPq8f2n8RDrcXd24O3yBFoVGrsKyuFKcTqG2L9+Jqt3/E1OlLM7ihuy7unw8gkOL5yuduRp2hMOfUfRjAfgBX+P9VPh4B8D+p3zWi1Pn57gEIIfCeEC9qylXygYnsPKGgxc063PjrB16BgIROUxhpF9mI6a/ROXBhCgACK3UqlUBLVUlS0i9zaZVCOclbUlGC9hp91qafKk1SFK1VeqZfJmjYZEdThCYpimvjqKvLx4yNeJ/XXq/Ez3cPYGN7FVY2lUf1s3oaDehLYFZdvDVtNWU61JbpEl6pA4ATw9NoKNfldUAHRAjqpJTfklIuBfApKeUyKeVS/8daKeV/p3EfiZLK5vTgwVcGsW1V6NksJUVqNJYXc1ZdjnJ7vPjbXx7AsSEzvveejfjqm69EbZnvKl1NaVHepl1ko3w8mUqFgxemUF6swbLassC2turkBAq5FFgH11W1Veuzsgux3eXBuYlZrFhy+YS4pUqPS9MO2F2F1600GRxuDyYsjrCDx4O1VuvRVq2Puq7O4fZAqw59qisB/OujxzE2bY9ld7NCvM/rF85MoN9ojTjGYL7uBgOGTDbM2OPrM7BjWw+K4ry42tNYltAqoeLYsBmrmioWv2GOi6ZRyn8JIVYLId4mhHiv8pGOnSNKhUcODcFsc+GuazvC3oYdMHOTlBKf+90xPNM7ji9tX42bVzZg+/pmPP2pVwEAPnDdUgZ0aVRIXccScfCCCevbqubMZGut0mMwCR0VcymwHjHZA3VV7TV6mG3Z17Cq75IFHq+cE9S1Vvv+nrPxd5oLLpl9jTCifV3YsrwGu88ZFx34LqXEP+88BqfHC616bq2eTqPC5qXV+NnuAVz/tWfwxd+fwNiMPWdqgMP9rQ2ZbCG/p/y/7vrRXqgE4HJH/t0F66r3XWyKt65u+/pm3HxFPQBfHVcsNW3dDQacvmSBN0QZRbRsTg/OjFmwOsqVyVy26PBxIcTnAbwKwEoAfwLwWgAvAvhpSveMKAWklPjJrn5c0WjApqXVYW/XUVOKp06NpXHPKBm++WQf/m/fIP7upk68+5rLVyLLi7VorS7BieHpDO5d9kt27dWObT34zG+PwBF0AsH017lm7C70XprBrasb52xvrS7xBTU2FypKIjcziKSpsgRDIU7ysjGwHjHbAnVVbdW+2uaByVlcqa/M4F7NdTKo86WiNaixzbK6spD3o/CUBjnRpF8CwJbOWjz4yiCOD09jbWtl2Nv9ZFc/fr3vIv7upk4srysL+do2YJzFfz19Bg+83I+fvnwegIDbH0Bkcw1wuOc1AGy592l0N5Thxu463Nhdj1GzDf/8yPHAyp5XAv/8yHFo1Kqo/l89jb5U475LM9jQVhXX/k7b3bii0YDH/v6GmO7X02CAzeXBxSkb2vxN7GJ1anQaXgms5EodAOAtAF4NYFRK+X4AawHkd1Iq5a295ydxanQG75s3xmC+9lo9JiwOWBzJHbhJqfPg3gv41lN9eMtVLfjkLd0Lvr9qSQWOD5szsGe5IRW1V9vXN2PbqoY52z7/xhVZd4KUSYcHzZASC06WAh0wE6wr27GtZ8EqRbYG1sPmy3VVgS7EWZaCeWJkGvoiNdqrL59gtlT59pkdMOMTqKWMIv0SAK71j7x46Wz4uroX+ybwb388iVtWNuATN3dj+/pmvPTZm3D+3tfjpc/eFHgNaq8pxdffuhZPffJGaNXqQECnyNZU5U+9phvzT2FKtCp85tYefO51K1Bn0OGBXQN4z/17sOOhIwmlYLdW6VGsVaF3NL6VOpfHi/0DU7gmwoX0cJSA8tRo/Bdkj/sv5q5uzv+VumiCOpuU0gvALYQoBzAGYNlidxJCFAsh9gohDgshjgshvuDffp8Q4pQQ4ogQ4ndCiMqE/gdEMXjg5X5UlGhx27rIJ5Ud/g6YTMHMDU+fuoTP7TyGG7rr8JU71oQM2Fc1laPfaI27LiDfpar2yu7yor1Gj199aDMAoLYsuhO3QnHgwpRv6Hhb5ZztLVX+odYJ1tVtX9+MqzsuB4zVem1W1pU63d45dVVtWTqr7+TINHoaDXNSZRsMxShSq9gsJU4jZv/g8ShX6uoMOvQ0GPBymLq6/olZfOyXB9BZV4b/fPu6OccqnI7a0rA1kdmYVlteooWUQGWJNiil8Up89FWd+NANy/CLD27GwX+5BffftRHhEhej/X+pVAKd9WXoG4uvtu3okBk2lwfX+IPxWChz8hKpqzs+bEZFiRbNWZidkGyLpl8C2OcPvH4IX/dLC4C9UdzPAeAmKaVFCKEF8KIQ4s8AngBwj5TSLYT4KoB7AHwmrr0nisGwyYbHj1/CB69bipIidcTbBl8lzsbi2lxpUZ4OhwdN+NgvDmLFEgO+++4NYYviV/mv0p0ancHVHbFfMcwmqTj+qai9klLiwIUp3NBdhw3tlSjWqvDimQncvLJh8TsXiIMXptBZV7ZgXlQyB5B7vMDalgqcHZ/FrWuWZOVrxaVpO6S8fGJfqtOgtkyXVRfWpJQ4OTKNN6ydO9VJpRJoruJYg3gNm2yo1GsXfV8Odu3yGjz4ygU43B7oNJfvN2N34YM/3QchgB++dyPKdNGc5vrkSqqy1ytx3+O96KjR44lP3hj2Pa9Up8GrVzSgOQn/r+56Q8SV0Uj2nJsEgIglL+GU6TRoqSpBbwLdN48PT2N1c3nE7Kx8EXGlTvh+A1+RUpqklN8DcAuAu/xpmBFJH+UoaP0fUkr5FymlktO2G0DkcfZESfKLPQOQUoYcYzBfe2ClLvuuvOZSi/JUCS5mv/07L6FYq8KP3nc1SiO8gSvB+fGh3E7BTMXxl1KGPflJ5IRmwGjFhMWJje3V0GnUuLqjOqZW5PlOSomDg6aQdSoVJVpUlGiT0izl7LgFPY0GbF5Wgxf7svP3HyoFz9ewKnteg4fNdkzb3XPq6RQtVSVJmytYaEbM0Y0zCLa1sxZ2lxcHL5gC2zxeib9/8BDOT8ziO+/eEHMN1o5tPSiZN7c2G1OVHz08jFOjM/jka3rCBnTBkvH/6m404NK0I67GRXvOG9FZX4basvgqt3oaDDgd51gDl8eLUyMzWXlxPhUi/jVIKSWAnUFf90spj0T74EIItRDiEHwpm09IKffMu8kHAPw5zH3vFkLsE0LsGx8fj/ZHUhrkSneoYHaXB7/aO4hXr2gIXAGPpCwLrxIrcqlFeSrMD2q8ErA6Pdh1JnKL63qDDjWlRYH8+lyV7OPv8njxqd8cwYzDDbUqubVX+wZ889euavcFLVs7a9E3ZsnJFuKpcG5iFiarKzCfbr7W6sRn1ZmsTkxYnOisL8MN3bW4MGnNyte1QLOMoIsI7dXZNavupP+1Y+WShUOvW6r0GMyDlbpMvL/7Mg5iS8vetLQaKgHsCrpI9B9/6cVTp8bwr29ciS3La2Pej+3rm/GVO9YE0vQ0KpF1qcpOtxf/8UQvVi4pxxvWLInqPsH/r1i7TyoCg8BjTMF0e7zY1x9fPV3gZzcacHbcAmcMHTsVZ8YscHq8WFUAnS+B6Grqdgshro7nwaWUHinlOvhW4zYJIVYr3xNCfA6AG8Avwtz3B1LKjVLKjXV1iU2Sp+TJ1VWiPxwZweSsE+/b0hH1fTpq9OjPxpOfHGpRngqhghqH27toUCOEwMqm8pwP6pJ5/GfsLnzgJ6/gtwcu4hM3d+Prb7kyMJy1Kgm1V/sHJlFerAm0xL6u03eiFW8aT7454A96w3WUS8ZQ67PjvoSZ5XVlgd//C1m4WjdsWlhX1V5TihGzPWvmv53wd77saVx4gthaXYLJWSdmc7i5Vqbe34dNtpAzYyOpKNFiTXNFYF7dI4eG8J1nz+Kdm9qiysYJR2mo8plbr4DbK3F9V+zBYSr93ysXMDhpw45be6KqFVSEaxQTra76+GrbToxMw+Jwx5V6qehpMMDtlXGdjx3zZ+Zwpe6yv4IvsDvrb25yVAgR9WodAEgpTQCeBXArAAgh7gLwBgDv9q8GUo7ItVUi31XHp/Cp3xyGRiViWiFoy7LUH0Whz/5KJKhZ1VSBvrGZuK74ZYtwx1kC+J9nziw6u0lxadqOt39/N14+a8TX3nIlPn5zF27f0II997walXotXr2iIeEr1PsHprCh/fL8tZVLylGp1+LFvugGB+e7g4MmGIo1WB6mDX5btR4Xp2wJzWg6O+Y7EeqsL8PS2lI0V5bghb7sy34ZMS+sq1Jqm7Olq+TJkWm01+hDpiq3Bhrb5O7FtUy8v8863Ji2u6PufBms1qDDvoEpLP3sH/HxBw9hWW0pvvCmVUmpnVKaCynZBtnA6nTj20+fwaaOaryqO72LHc2VJdAXqdEXY22bUk+3OY4mKYpuf7OU3jhSMI8P+7rVLq0tjfvn55JogrrXwtft8iYAb4QvGHvjYncSQtQpnS2FECUAbgZwSghxK3yNUd4kpcyOV2qKWi6tEl2+6ugL5NxeiX/83bGorzp2ZNlVYkUutShPBWWO1XzRBLWrmsrh8si4u3hlg1D1EcVaFda1VOC+x3vx1u+/jPMTka9onr40gzu+swsDxlnc/76r8baNrYHvqVQC1y6rwa4zE0jkmpvZ6sLpSxZsbL+8CqVSCWxZXoNdZxN77HxxYGAK61orw15xb6nWw+n2YmzGEffPODNuQZFGhZYqPYQQuL6rFrvOLj64Od1GTPYFqzVtWTbW4OTINFaEWKUDgmbVZUkAGo9MvL+PxDijTrHz4BBeOO1bcVZeSYbNNvzp6EhS9mt1cwWK1Crs659MyuMlw49f6sf4jAOfvrUn7U0/VCqBrgZDzIHVnvNGdNTo0VAef9fj5fWlUKtEXB0wjw+bsWJJ+YLSgny1aFAnpRwA0ApfJ8sBANZo7gdgCYBn/Kt6r8BXU/cHAP8NwADgCSHEISHE9+Lee0q7XFolSvSqo3KVOJtqOgBfGsXW5ZevemVri/JUWT+v9TsQfVCr5NXncgqmUh+h8b9JNVeW4N47rsTvPrYV33rHOpwbn8Vrv/U8HtjVH3KFZ/c5I97y3V1werz4vw9fixtDXPHd0lmLYbMd/QmcTB+44E8tbJ+bWri1sxYjZjvOLRJ45juLw43TiwzzbVXmnyWQgnl2zIJltaWBk5rrumoxY3fjSJY1DPLNqJt74qfMghvIgtfgWYcbA5PWkE1SgKBZdTk81iBcXZsQvvTGVFyICaTdxngOcd/jvXDOuzBhdy2ehh+tYq0aV7ZU4JX+7FipM1td+P5zZ/HqK+qxMUPdm7tjHGvg8UrsPT+Ja5bGv0oHADqNb6XtVIwBpdcrcWJ4GqsLpJ4OiCI4E0J8Hr6VtXv8m7QAfr7Y/aSUR6SU66WUV0opV0spv+jf3imlbJVSrvN/fCSR/wCl145tPSjWzv2zydZVokSvOiqz6vqz8ORTo/a9yBWpVXjrxtaCCehGzXY80zuO1U3lcRV9d9SUQl+kxokcDuoAX2BXrFXjfVs6AvURQgjctq4Zf/nEDbhmaQ0+/+hx3PmjPfjxS+cDjQ/Wf/EvePcPd6O+vBi/+5stWN0cus5Aqb16MYFOlfsHpqBWCaxrrQz52LsKvAvm4UETvHJh0BssGQPIz4xbsLz+cnrn1uW1EAKBVY5sMWK2LUjBqy4tQplOgwtZUNt8anQGUgIrQjRJAYCa0iKUaNU5nX75uhCNN3QaFZqrSvDxBw/hAz95JWRr/EQoK3XhMjDCSceq4saOahwbMsPmzHy2zveeP4sZhxufyuC5VneDARMWJyZnnVHdvnd0BtN2N65ZlngQ2tNgiHmlrt84i1mnp2Dq6YDoVtxuB/AmALMAIKUchm+ljQrQ9vXN+MB1SwNfV5RosnaVKNxVx2ivCHZk8ViDAeMsuurLsKKpHIcGTZnenbT52mOn4PZKfOfdV8VV9K1SCaxYUo7jw9m1ShGrGbsLFoc75IlQQ3kxfvL+q/Hvt6/B3vOT+MLvTwQaH0xZXZAAPrC1IzDcOpSOGj2aKooTCrz2DUxiVVM59EVz64/aqvVorixJKGDMBwf9K5nrWirD3qa5qgRCxJ8tYHd5MDhpnVOzV1VahDXNFXjxTPbU1dmcHpisrgXpl0IItFXrs2Kl7qS/SUq4lTohBFqrS3I2/VJKid3nJlFdqkVTZXHggtlX33wlnv3UX+Gf37ASu89N4jXfeC5sFkA8hkx2CAE0xhjUpSNr6OqOKri9EocvmpL2mPEYm7bjxy+dx21rm8L+/aVDl9IBM8rgas95X+10PEPH5+tuMODCpBVWZ/SNiI75L94qM2oLQTRBndPfzEQCgBCiMKoNKazKEt+QXI1K4G1ZvEr06hULBxzHsqpYodeiUq/Nug6YXq/EwKQVHbWlWN9aiaNDZniS9AabzQ5cmMLDB4fwoeuXxjx/KNiqpnKcHJlJ2klJJoyafSlL4U6EhBB41zVtqC4tWvA9rwT+55mzER9fCIEtnbV4+Zwxrt+Ty+PFoTDz14QQuK6zFi+fNabl7zaWFu3pbOd+4IIJnfVlqNBrw95Gp1GjwVAc96y6fuMsvNLXJCXYdZ21OHDBhBl77DOnUuHyOIOFf8/tNXpcyIILaydHpmEo1gTSLEPJ5bEGT54cw9EhMz772hXY9dlXz7lgplYJ/PV1S/GXT9yADe1V+Pyjx/GW7+3C9549k/DzZcRkQ12ZLqp5a8HSMVNOGcWS6bq6bz/dB7dH4hO3dGd0P3oaY+uAuefcJFqqSgIjIhL72WWQ0jeiIFrHh83QqkWgc2chiOZZ9GshxPcBVAohPgTgSQA/TO1uUTY7OjSN5soSNFeV4NJ0/AX8qeRwe/BM7xiWlOvmXHWMdVWxvaY061bqRqftcLq9aK/RY21rBaxOT0wvdLnI65X4wqPH0VCuw9+8qjOhx1rVVA6Lw511tZKxGPYHdYu1AR8L8/yMJkVpa2cNTFZXoI17LE4MT8Pu8mJjR+jUwi2dNZi2uwPtplMl2hbtUkr8au8APvPbI2lp5y6lxMELU9gQoj50vrbq+McaKK8Ly+vmXou9vqsOHq9vZSYbBAaPh/h7bqvx/f8zfeFKaZISqUFFq38Aea41AfJ6Jb7xxGm01+hxR4T3x9ZqPX76gU34xtvW4uTINO59rDfh58uI2Y4lcZz0J2P22mIq9UXobijLaF3dgHEWD+4dxDs2taK9JrNrKo3lxTDoNFEFdVJK7O1PvJ5OEU8HzOND0+hpNKBIE9sFg1y2sC/vPFLKrwshbgEwDaAbwL9IKZ9I+Z5R1jo2ZMbq5nJMzbpwKUuHCP/s5QEMTtrw0w9swg0JtP7tqNFjfxa1NAYQWDnsqCkNpN8dGpwKXEXLR789cBGHL5rxn29fi9IQ7cRjoeTXHx+eRkeOtjkejbIOpamyJGQNTDQpSluXX66rC1d7F47ynNnYHrqWYkvQY6+dV3OXTOGaJX32t0fwiz0DmLK6YLI6YbK64A4RNCiNlZKdjXB+YhZTVlfEJimKluoSvHw2vhEQZ8dmIQQWjEzY0F6JEq0aL/aN45aVCzMa0m3E3ywj1BX99upSuDwSI2ZbxJThVPJ6JU6NzuCtV7VEvF1rtR4zDjembe6IK7DZ5i8nRnFyZBrfeNtaaBZZMRNC4I4NLfja472wmee+/8fzfBk223BFnO9d29c3pzxTaGNHNX5/aBger8xIB8VvPHEaGrXA/7upK+0/ez4hBLoaynA6irEGfWMWTM46k1JPB/gusOs0qqhXCaWUOD5sxmtWNibl5+eKaMPXowBeAPC8/3MqUNN2F85PzGJNcwXqy3UYT6DVdqqYrS7819NncH1XbUIBHeB7IRk22bJqrpmyctheo0dHTSnKizU4NJj4ikc6U89iMWN34auP9WJ9WyVuW5v4G3hXQxk0KpHTdXUj/pOpxdpEJ5KiVF9ejK76MrwUR+3b/oEpNFeWhE0PrTPocEWjAbsSGEIe7u911uHG86fH8bXHToVt6mB3e6FWCXTVl+GWlY24+4ZlYX9OKtq5H7xgAgCsjyKoa63SY3TaDoc79mYNZ8YtaKkqQfG8vwGdRo1rllVnzRDyYbMNQoT+e+5QuhBnMGPCV8vjWbSeSQk6c6kDptcr8Z9P9GFZXSnetLYp6vtdMoe+oBvL80VKGXKURTa5uqMKMw53XDPSEnVieBqPHh7G+7cuRX0CIwGSqafRgL5LM4uuRu8557sQtTlJK3VqlS+g7I1yTt6w2Y4pqwurC6ieDohipU4I8UEA/wLgaQACwH8JIb4opfxRqneOso+SLrW6uQJTVheeOTWW4T1a6L+f6cO03YV/fN2KhB+ro0YPrwQuTlmxLMyA4HTrN86iSK3CkooSqFQCa1srcTjBZilKmpqyqqGk0gDIeM3kfz9zBhMWB+6/a2PYeV6x0GnU6Kwvy+mxBiMmO2rLdIumlSjH7r7HezFssqGpsgQ7tvVEfUy3dtbiwVcuwOH2QKdRL34H+E7U9g0snnaztbMWP9s9ALvLsyDoWEyov9dP/eYwvvFEL4ZM9sBVda1awOVZePLRXFmCB+++ds62Rw4NhwwC1SqBAeNsUlOfDlyYgkGnQVf94q8pbdV6SOlr/R7rAN2zY5awg82v76rDl3pP4OKUNWMrYIpIf89K/Wy/0YotcWZe7zw4FPdzAFi8SYoiMNZg0hrz6nam/OnYCHovzeBb71i36CpdsESyABRmmws2lyfmzpfppGQb7BuYxMo0t8b/+l96YdBp8JEblqf150bSVW/Ar6yDGLc4UG8If9x2n5/EkopitFYnL2DvbjBEfZHxuP9cdWUBdb4Eolup2wFgvZTyfVLKuwBcBd+IAypASlC3prkCDeU6zDo9sDii70aUaoOTVjywawBv2dCSlC5R7Vk2/BYABiasaKvRB1JB1rZUovfSTEJtlxOd6Zcq5ydm8aMXz+OtV7UkNU1vVVNFXLVi2WJk2h62u+t829c3x9UpFAC2LK+B3eUNrCxF4+KUDZemHWHr6RTXddbC6fZiXxz1KqH+Xt1eiVGzAx++YRl++oFNOPL51+C+t6yNeqUy1KpmkVoFrVrgDf/1Ih4/PhrzfoZz4IIJ69rCDx0Ppgy1jrUG1OuVODdhQWfYoM6fAhvnal0yV/aHzbYFM+oUSypKoFULDEzG17Aq2rrKSE6OTEMlsGiKe2AAeY6s1Hm8Et98sg9d9WV4w5XRr9IByWlUogSF2TjnVtFSVYLG8uK01dUFP6+ePjWGG7prsyqVV6lt64uwYialxJ5zk9i0tDqpQ9J7Ggy4NO2Aybr4SIVjw77nbLgRJPkqmqDuIoDgdecZAIOp2R3KdkqTlJoyXSBVJpvq6u57vBcqFfAPr0lOByzl6nw2dcDsN84GUpIAYF1rJTxemVA6YTpm/sTj3/5wAjqNGjtuTe5snlVN5RifcWBsJnv+dmMxarahMQ3pOJuX10AlEFMKpjJ0/KoI89cAYNPSamhUAi/FkYIZ7u/S5fHi07degRu661Cq08TUTCHUbb/2livxl0/ciKW1pfjwz/bjy388AZcnsVRsi8ON3tHpqFIvAQSudMfaKn/IZIPd5Z0zoy5YV30ZGsp1eCGO9NpkBErBRszhU/DUKoHWqvg7YCbjgtWJkRksrS1ddEW5okSL8mJNzsyq+8ORYZwZs+DjN3fFXC+mPF/qDToAQJVeG3OjEqWWMptX6oQQ2NhRhVfOT6a8Ac785xXg60qaLaUQANAdxViDcxOzmLA4ktYkJfCzA903F0/BPDFsxrK6sgUjdfJdNEHdEIA9Qoh/9Q8i3w3gjBDik0KIT6Z29yjbHL1oCuQoK0vv2RLUHR404dHDw/jgdctinnkTTo1/+G22rNRJKdE/LxXsylZfekEi8+rSMfMnVs/2juGpU2P4u5s6I6Z5xENJo8nVFExfHUrqT4TKi7W4sqUypqBuX/8USovU6GmIfIW0VKfB+rbYHlsR7vkd6u81lpXKULdtrdbjNx+5FndubscPXziPd/5gd2CkRDyOXPQNHV8fRedLAGgwFKNIrYp59efMuO/EZ/44A4VvtEQdXjozEXNnyWSu7PvqqhYOHg/WVqOP+zU4GResTo5MR5350VKlz4lZdW6PF996sg89DQa8bvXCoePR2L6+GbvveTUMOg1et2ZJzKn6yuDxZLS8T6WrO6oxOm1P+uD1+UI9r+wub8YzZoLVGXSo1GsjBnV7z/u66iarSYpCeU/pjaJZyrGhaaxOc7psNogmqDsLYCcQuHDwCIAR+AaQF9a6ZoGbtrvQb7Rijb9WoL7cd4UuXNv0dJJS4st/Ooma0iJ8+MbwTQ9iJYRAe40+a1bqxmYcsLu8c1bq6g3FaK4sweGL8a/U7djWgyL13Cu1xVpVUmf+xMLl8eJLfziBjho93re1I+mPrwR1J3IwqJuxuzDjcMfVBjweWztrcPiiOeqZZvsGprC+rSqq+pytnbU4OmSOKp0mWE/DwkAl2TOqguk0anxp+2p86x3rcGJkGq//9gv46p9PxZV+qKSybmiNbqVOpRJoqYp9qPXZwDiD8HV713fVwmR1xbzKn8yV/Wm7G7NOD5oiNMtor9bjQpyjAhK9YGW2uTBkskUd1LVWl+TErLpHDw/j3MQsPnFLV0K1yiqVwLq2ShyIIUVbMWy2Q6sWqC3Txf3z00FJJY8nVTwW2ZoxE0wIge56Q8TVsj3njKgt02FZkrtLL6nwj1RYpGnNhMWB0Wl7ztS1JtOi77pSyi9E+kjHTlJ2CNTTtVQCQFalXz55cgx7z0/i72/phqE4ufnnHVk0q65/whdczm/asLa1AocG43/D2b6+GVe1VyH4rf09m9sz1iTlpy8P4Oz4LP75DSujbtARi/JiLdqq9TnZAVN5vqUrZWnr8lp4vDJw9TWSGbsLvaPTi6ZeBh67sxZSArvPRd+yf9hkw65zk9jUUZXSGVWh3LauGY/+7VZoVALffe5sXOmHBwamsLyuNKY6mZZqfcwDyM+OW1BdWhRyAL1ia6evri7WLpjh6jnjWdlXVmsir9SVwuJwY3I2tuAf8F2w0iZwweqUv/Z2ZbRBXZUeF6eye1ad2+PFt57qw8ol5Ulp+b6+rQq9o9Mx19ePmGxoKC9OSgOsVLqisRxlOg1eSfEQ8mzMmAnFN9YgdAdMKSX2nJ/ENcuSW08H+APKRsOiK3VKBk66G9tkg0WDOiHERiHE74QQB4QQR5SPdOwcZZfgJikAUKbToLRInfEB5G6PF/f++SSW1ZXiHVe3Jv3x22t86TTuBGtpkkEJLjvmB3UtlRictMFoie9YSClxYdKGW1Y24PS/vRZVem2gbX66BBeI/9sfTuCKRgNuuqI+ZT9vVVN5Tq7UDfvrUNJRUwcAG9qroNOo8GIUaZKHBn2phYs1SVGsa61EaZE6qsdWfOvJPkAC33j7urgbwCSis94Q8iQ0mvRDKSUODpqimk8XrK26JPb0y7HwTVIUdQYdViwpxwt94zE99uuvXJiuF+9KaaTB44p2fwOSgTjSGrevb8amjrkXrN68Ifr5ZtF2vlS0Vuthd3kxYYk9AE2Xhw8OYcBoxSdu6U5KQLWhrRJeCRyJsQRg2GSPuEKbLdQqgQ3tVSlfqduxrQe6eR1gU5mBEK/uBgNm7O6Q536DkzaMmO3YvDS5qZeKnkZD2IBSoVysXVVgnS+B6NIvfwHgxwDeDOCNQR9UYI5cNKO5smTOld+G8mJcynCziQdfGcTZ8Vl89tYroI2hJXO0OmpK4fbKwMl0JvUbZ6FRiQVXypXOkEfiTME8O27BkMmGG3vqUKRR4U1rm/DEiUuYjjLlLlHzC8QlfJ0vHzk0nLKfuaqpHP1Ga9RphdlCqedK19XbYq0aV3dUY9eZxVfT9vVPQSV8wVo0tGoVrllWE9VjA75A5Tf7B/Geze0ZbcMfrqZusTSpAaMVk7POqJukKFqr9DBZXTE9H8+Oz2J5/eLpTzd01WL/wBSszuhWWdweL54+NY7asqLAanGZThP3SulwhMHjivYEZ9UZZ124vrsO57/yOvQ0GLCv3xT1StrJkRlU6bVoKI8uRTAw1iBLO2C6PF58+6k+rGmuwM0rknPRbL0/lVhpkhStYXPkWspscnV7FXovzcBsTd37xfb1zXjTOl8X0nRmIMSqO0Jt2+7zvtfya5Ylt0mKoqfBAJPVhbEIM5KPD02jtboEFSXZ0zU0XaI5Ax6XUj4qpTwvpRxQPlK+Z5R1jg2ZFwxyrC/XYSyD6ZcWhxvffPI0NnVU45aVDSn5Ge2BOUmZr6sbMFrRWq1fUK+0prkCKhF/s5TnTvtWSm7o8g1rv31DC5xuL/58dCSh/Y1WqAJxhzu1BeJKasbJkfQPlU2EsoJaH+VJZjJs6axB76UZjEd4IwV8Q8d7GstjSoHesrwG5yZmo2pC8B9/6UWJVo2P/VVm5zaFC6gXa9CknPRuaK+M6ecFWuVHuVI1OevE5KwzYj2d4rquWrg8vpSpaPzqlUGcGbPg329fg5fveTV6Ggy4Zml13CeeI2YbNCqBOkP4v2fl/x9PGrzZ6kLvpRlc3V4FIQTuvmEZei/N4Nne6FYnT476mqREm0oW67FKt4f2X8TFKRs+eUt30tLjKvRadNaXxVRX5/VKXJrO7sHjwTZ2+Fae9l9IbQqm2epCc2UJzn3ldWnNQIiF0gGzL0RQt+fcJKpLi6KawRnfz/YHlBHq6o4Nm7G6AFfpgOiCus8LIf5XCPFOIcQdykfK94yyitIk5Up/PZ2iobw4o+mXP3juLCYsTvzj61ckPX9b0eEv9h3IgqDO1/ly4QpFqU6D7gYDDl80xfW4z58ex7La0sAJydqWCiyrLcVvD6SnlXImCsSV1Ixcq6sbnbahtqwoJbWG4Wxd7qu92hVh/IDHK3HwwhQ2RllPp7jOPy9tsS6YhwdN+POxUXzohmWoyXBjhVAzugBfqlSkld8DF6ZQptOgqz62HmNtgUAhuufDGaVJShQnVld3VKNIo8ILpxdPgZ22u/CfT5zG5mWXL6J1NxpwapHGBZGMmOxoKC+O2FK/WKvGkoriuGbVHbgwBSkvn5S/cW0TllQU43vPnV30vm6PF72jMzHNPFVW6rJxrIHD7cF/P30G61or8aqeuqQ+9oa2Shy8MBX1CuiExQGXR6I5R1bq1rVWQqMSKZ1X53R7seusETf21KXsfCYZasp0qCktCtkBc895IzZ1JL+eTrHYSIVpuwsDRitWFWA9HRBdUPd+AOsA3IrLqZdvSOE+URZS6unmdxPyBXX2tBaFB9deffvpM1jfWhl1ulc86g06FGtVGW+WIqXEgNG6oJ5OsbalEocHo08rUthdHuw+Z8QN3Zff5IUQuGNDM/aen0zLFedMFIjXG3SoLSvKubEGw6b0X91e3VyB8mJNxMDr1Og0Zp2eqJukKHoaDKgtK8KuRYK6rz1+CtWlRfjg9cnrbhuvUDPt7rq2HRcmrXjP/XvDdvM8MGDCutbKmGeCtVbFtvpzVhlnEMVKXbFWjWuWVuPFM4uvXP3P02cwZXXin16/MnDSdkWjAUMmW9xpzMNmW1RNf9qq45tV90r/JDQqEXiPKNKo8NfXLcWe85M4uEi6YL9xFg63N6agTl+kQU1pES5mUfql8p7Z80+PYchkw+YUNLHY0FaFKasL5yeiC7yHzUrDp9xYqSspUmN1cwX2pbBZyv6BKVgcbtzYndyAOxW6GxZ2wBwy2XBxypb0UQbBasp0qC3ThV2pU+rkVxVg50sguqBurZRyo5TyLinl+/0fH0j5nlFWOXpxbpMURb1BB4fbi2l7bF2v4hVqOOeJkemUDucUQqCjphT9GQ7qjLNOWBzukCt1gK+ubsrqirlL3t7zk3C4vQveSG5b50v7eORQ6lfrdmzrgWbeiW6qC8SFEFjZVJFzzVJGzfakzWGMllolcO3yGrx0xhj2osH+geiGjs8nhMCW5bV46Wz4x36xbwIvnTHib/+qE2W67BgmO3+m3RduW43vvucqnByexjt/uGdB0yKr041To9NRz6cLVqHXwlCsibpO68yYBcVaVdTzv67rrMXpS5aI8/cuGK348Uv9ePOGljkX95TZUZHmVkUyYrZHNZ7DN1om9tfgff1TWN1cgZKiyyur79jUhvJiDX7w/LmI9z3hT81esSS2ldV4upWmSvB7puKBXf1Jf8/c0K7U1Zmiuv2IafGup9nm6o4qHB40wz6vVCBZnjs9Do1KYMvy1NSjJVN3Qxn65jUs2avU0yV56Ph8PY1lYV9vlIu0XKkLb7cQYmXK94Sy2tGhhU1SgMtjDdJVV3fvY6fSXnsF+K4SZzr9Uvn5YVfqlCHkMaZgPnd6HEUa1YKra63VemxaWo2HDwylfCX29VcuQYlWBZ1GldYC8VVN5egbm4HTnfnOptEaiXJlI9m2dtZiyGTDhTCrRfv6p9BQrgukn8Xius5ajM840De2cPaRlBJffewUmitL8O7NbTE/djrdsrIB/3vXRpyfsODtP9g953Xx8KAZXomYO18q2qqjH2p9dtyCZbVlUXc2vN5fSxupC+lXHzsFtUrgU6+Ze6Glp9EX8MSTgimlxIjZjqYo/p7ba0oxYXFgNoa2+Q63B4cumnD1vG6sZToN7ry2HY8dH424snRyZBoalQg7wD2c1qrYu5WmSuhB8cl/z+ysK4OhWBN1sxQlyMyF7peKjR3VcHq8gcylZHvu9Dg2dlQlfSxTKnQ1GDDr9My5WLDn3CTKizWB14RUUVYJvd6F5yXHh8yoN+hQb8idiwXJFE1Qdx2AQ0KIXv84g6McaVB4jg2ZF6zSAcGz6hKvqwtOq1SG+ZptLjxx4hK+8PvjuPWbz8fddS5RHbWlGJi0hnwRSZf+Cd9JQriVuu4GA4q1KhyKcQjs86fHsamjGvqihSsgb97QjHMTswkNNo/G48dHMePw4Lvv2ZDWFvUrl5TD5ZFxrzKk26zDjWm7OyMpS1uWK7VvoTtV7h+Y8s06jCOta0un78ruiyHmpf352CiODpnxiVu601pHGK8buuvwk/dvwojJhrd9/+XASY9yshvPSh3gS8EMF1DPd2bMElMgckWjLwX2xTCjDfb1T+KPR0fw4RuXLVglbqkqQVkUA4FDMc464XR7o06/BBD17wDwvW853d5APV2wu7Z0QKtW4YcvhF+tOzkyjc76spj/7lqr9Rg22eDJ4PuFIl31yip/iuuBgeiCuhGzHcVaFSpjmNeYaUq9cCrq6i5N23FyZBo3dqdujE8yKQ1L+oJSMPecn8SmpdUxp5fHqqfBAJvLE7Ju9fjwdMGu0gHRBXW3AugC8BpcrqfjSIMCYrb5mqSsaQkV1PkaFiQ6gHx+WuWQyYZP/PoQ1n7hL/jQT/fhl3suoLZMh/Li0KlXqW7v3l6jh9PtxWgGO30OGGehVomwrdy1ahVWN1XE1Cxl2GRD35gFN3TXhvz+a9csgU6jwu8OXIxnl6P2010DaKvWp/0NTXnxz5UUzJFAHUr6r0IurytFY3kxXgrRLGXUbMeQyYar2uOrpWip0qOjRr+gZs/t8eLrj/eiq74Mt2dhF7hwNi+rwc8+eA2Ms0687Xsv439fOIf/eqoPAPD6b78YV+pba3UJLk7ZFl01t/mvnkfT+VKhUgls7azFi2cmFly48nolvvTHk2go1+HuGxbWMwoh0N1QFtdKXWBGXZTpl0BsHTCVk+9QzXvqDcV484YWPLT/YtiuridHpmOqp1O0VJXA5ZEJvy8mQ7j0xlS8Z17lb/sfTX3liNmGpsqSrG4IMl9NmQ7L6kpTUlf33GnfBZVcqKcDLjcsUcYajE3bcX5iNuWpl8Dl7ID5IxXsLg/OjFsW9H4oJIsGdf7xBa0AbvJ/bo3mfpQ/jodpkgIgsMSd6Ky6UCkiUgKGYg0evHszjvzra/DzD16DL962ekHXuXQM51RSHjM51uC80YrmyhIUacI//da2VuLYkBmuKAelPx94IwkdTJUXa3HzygY8eng4ZSmKJ4ansbd/Eu+9tj3lV/jm66gpRWmROmc6YCor1emuqQP8tW+dNdgV4sR/34DvJCfWzpfBtnbWYs/5yTl/uw/tv4hzE7PYsa0n7X8bidrQVoVffWgzpmYd+Lc/noTd//wZMtlwz8NHYw7s2qr1cLi9i46VODdhgZSIOWXw+q46TFicC4Kz3x8ZxuFBE3ZsuyLkaj4A9DSWo3eRgcChKDPqoknBa6/2vQZfiKED5r7+SSyrKw3bLfVD1y+Fy+PFA7v6F3xvctaJS9OOmOvpgNgb26TSmhCt3VP1nrmhrQpS+lKNF5Mrg8fnu7q9GvsGppKetfPc6XHUG3Rx/b1lQqW+CPUGXSDLZbd/JEoqm6QougJjDeZejD01OgOPV3KlLhIhxOcBfAbAPf5NWgA/T+VOUXY5OhS6SQrg6whVXqzBWILpl+FSQSx2NzYvqwmkv4TqOpeO2qt4rhIn20CYcQbB1rVWwuH2RpzhEuz5vnE0lhcHrrqF8uYNzZiyugJXEpPtpy/3o1irwluvak3J40eiUgmsWFKOEyO5sVI3bM5sHcrW5bWYsrpwct6b6f6BKRRrVYHZf3E9dmctLA43jvhXmu0uD775ZB/Wt1WmbAZlqq1urkBZiPoYm8sTc01TS5Tph5fHGSw+eDzYdZ2+1foXglIw7S4PvvrnU1jdXI47IrzGXtG4+EDgUEbM0TfLqNBrUVGijfo12OuV2DcwhasjrB4vqyvDtpWN+OnL/Qtq9U76XxPiWalTRsNkeqzBoUETnjw1ho3tlWl5z1zXVgkhohtCnqna4ERt7KiC2ebCmfGF9b/xcnu8eOH0OG7szu5RBvN1NxgC6Zd7zhlRptNgZRzPl1iV6TRoqSpB77zum0qt46oCnVEHANG0EbsdwHoABwBASjkshMiNSwmUFOGapCjq/WMNEtFUWRJy+HCoFJHt65vTPpBzSUUJitSqjK3USSlxfmIW29dF/n8rbbsPXzQtmoLg9njxQt8EXru6MeIbyfVddagpLcLvDl5M+sm1yerEzkNDuH19MyoyVFuxqqkcD+2/CK9XRt1YIlNGMzB4PNhW/4n/rjPGOW+c+wemsLalElp1/Ekc1y6rgRDAi31GXNVejZ++3I/RaTv+8+3rcupEZ75wK2ux1jQFVn+mrCFrxBRnx2ehEuEbKoXTWFGMrvoyvHhmAh++0Tfc/f4Xz2PYbMd/vG1dxOdGcLMUpc46GiNmO4o0KtSEeW+Zr70m+rrCs+MWmKwubOyIvHr84RuX4bHjo3jwlUH89XVLA9sTCeqaKoshBDLaLMXm9OCTvz6EBoMO979vEypKUv/6Wl6sRVd92aJBndPtxdiMI6q022xztf+590r/ZKCuLFGHL5owbXfjxiTPDky1roYy/GrvBXi9EnvOT2JjRxU0CbwHxKKnwbCgjvf48DQqSrRxNevKF9H89p3Sl1MhAUAIEds7BeW8cE1SFA3luoSDuh3beqBVp7elfSzUKoHW6hIMTGTmTdpkdWHGHn6cgaKlyhd8Hx40LfqYhy+aMGN3z5lPF4pWrcIb1zbhyZNjMFvjm0UVzm/2XYTd5cV7r+1I6uPGYmVTOWadHgykKFUqVAOgeI2Y7agpLUJxiMHX6dBYUYzldaVz6uqsTjeOD08vevK8mKrSIqxqKsdLZycwbXfhO8+exQ3ddbg2B9p7R5KsGYzKicpirfLPjlnQWq2P62/k+q467D0/CbvLg7EZO77zzBm8ZmXDosegJ0w61GKGTTY0VRRHHbT7uhBH9zxV6umujhAAA8D6tipsWlqN+184Nyf198TINOoMvplYsdJp1GgwFGd0rMFXHzuFc+OzuO+ta9MS0Ck2tFXh4AVTxPRE32xbRNX1NNu01+hRW6bDviQ2S3mudxwqAVzfmVtBXU+DAXaXFwcHTTgzZklLPZ2iu9GAs+OWOWUhx4fNWNVUntMXARMVTVD3ayHE9wFUCiE+BOBJAP+b2t2ibBGpSYqiwVCccPfL7eubA8FFOtMqY+GbVZeZlbr+RcYZKIQQWNtSEVVNw3OnJ6ASl9OuInnzhhY43V788ehIdDscBY9X4me7B7BpaXVcV8OTRVlxSkVdXagGQPHUUylGzLaMz3Xa2lmLPecmA2+mhwZN8HglNsbZJCVYvUGHvecnceW//gUmq2tBK/pctGNbT1LqgIu1ajSU6xZdqTo7bolq6Hgo13fVwuH24pX+SfznE6fhcHtxz+tWLHq/qlJffU2szVJGzPaYOrl21JRiyGSLqmZ4X/8kast0i14IA4CP3LgMw2Y7fn94OLDt5MhMQq9LrdWZG2vwYt8EfrKrH+/b0hFYXU+XDW2+9MRzEUZFKA2fUt3gLBWEELi6owqvJLFZyrOnx7G+rSpj2SrxUmrbfrFnAEB66ukUPQ0GuL0ycG7k8nhxanSmoOvpgOgapXwdwEMAfgugB8C/SCm/neodo+wQqUmKor68GGMz9oRnmZVo1Wiv0ae1pX0s2mtKcWHSmvKZbaEoV6c7ahc/QVnbWonTYzOwLDLP6bnT41jbWolK/eKpT6uby9FZX4bfHUxeF8xne8dwYdKKuzK4Sgf4Ukg0KhEYWppMoWdExV5PpRg129FYntkToS3La2FzeXDIvxqstDCPt1W/YufBIbzYN3dcwneeOZv0Icnplsw64NaqyLPqPF6JcxOzWB5jkxTFuL/h1Z3378Wv9g5i6/IaLK2NLjmnp9EQdS2vYsQU20WKtho9PF4ZVerqKwOTuLojuhEbf9VTj54GA77/3DlIKeF0e3FmbCahphWtVXoMZaCmzmxzYcdDh7GsrhSfufWKtP/8De2VACLX1Sm1lE05NHg82MaOalycsgX+H4mYsDhw5KI5Z7peBuvy1+L/4cgI9EXqiBldydYdyA7wveacGfOt2hVy50sgukYpX5VSPiGl3CGl/JSU8gkhxFfTsXOUeZGapCgaynVweSSmEkzNG5y0BmYRZaOOWj2sTg/GLYnP5ItVv3EWQiDsOINga1srISVwNMJsualZJ45cNOGGrujeSIQQuH19M17pn8KFJDWLeeDlATSU6/CaVZltgqHTqNHVYEjJWINkz4jyrWxk9kTo2mU1UAkExg/sG5hCV31ZVBcHIrnv8V44563AJBIAZ5Pt65vx0mdvSviCVVu1PmLzjYtTVjjd3rhW6nYeHMLnHz0xZ9ue/smog+orGg3oG7PAHWXnXbfHi0szjpia/rT73x/6F3kNGjXbMThpi1h7GEwIgbtvWIbeSzN49vQ4zo5b4PLIhJo+tFSVYMQc3apiMn3h0eMYm3HgG29bh5Ki9KdpL6stQ3mxBgcjBHVK19NMzNtMBiWDIBkpmMpszlflWD0dADx9cgwq4auR9Hgl/ngkeZk8i1leXwq1SgS6byoXZblSt7hbQmx7bbJ3hLLTYk1SgOAB5InV1Q1O2aIKWjJFCTgz0QFzwGhFU0VJVHUya1sqASDivLoXzkxASsRUmL19fTOEAH6XhJWTc+MWPH96HO++pj2h5hrJsqqpPCUrdcmqpwJ8tWtmmyvj6ZcVei3WNFdg11nfaIMDA1MJ19MB6RuSnMtaqvUYNtvCjhe53Pky9qAu1Kqy3eWNOqjuaSyH0+1dNOBSjM044PHKmP6e2/3p5xcWSYNXUuNiSd9949omLKkoxvefO5tQkxRFS7UeXpnev98/Hx3BwweH8LG/6gw0zUo3lUpgfVsVDgyYwt5m2GRDebEGpbpoevVln5VLyqEvUidlXt2zvWOoLi3C6hzr2KiUFiilkw63N6HSgljpNGosrS0NpHwfGzKjRKvG0tr4shTyRdizKSHER4UQRwH0CCGOBH2cB3BksQcWQhQLIfYKIQ4LIY4LIb7g314thHhCCNHn/zf3iyby2NFFmqQAyRlAPmN3YXLWmd0rdcqsugi1AqnSH8U4A0V1aRHaa/QRm6U8f3ocFSXaQAAYjebKEmxeWoPfHbyYcArqz3YPQKsWeMem9I8xCGXlknJMWBwYS/Kw4Ds3ty3YFm8DoEwOHp9vS2ctDl4w4ZC/a1u8Q8eDJTMAzletVSWQEQIFJaiLZ6Uu0aD6isa56VCLGYljPEe9QQedRrXohbV9/ZPQF6ljWmkr0qjw19ctxe5zk/jsb48CAN73471xn6RenlWXnqBubMaOf/zdUaxprsDf3dSZlp8Zzoa2Kpwem8F0mCHkyuDxXKVRq7C+rTLQjCdeXq/E830TuKGrNus7L8+X7NKCePQ0GAIrdSeGp7FiiSHn5pkmW6RL5L8E8EYAj/r/VT6uklK+J4rHdsA3sHwtgHUAbhVCbAbwWQBPSSm7ADzl/5qykNnmwsAiTVKAywPIY51RFEx548vmoK65qgRqlcjYSl17DC3K17ZUhg3qpJR4/vQ4ruusjfkF8PYNzeg3WnEwiu6a4cw63Hho30W8fs2SwN9OpikpG8lerRucskEtEGjZXl1aFHc9VWDweIZr6gDfvDq3V+K7z54FAFyVwNBxRbIaiuQz5fUxXAOOs+MW1Jbp4mq4kGhQ3VlfBpUAei9FF9QFUvBiWKlTqYSvA+YizWJe6Z/ChrbY26uX+VeOlDTgYZM97tWH1mrf7+1iGpqlSCnxjw8fxazTg/98+9qMZz9saK/0DyE3hfz+sMme00EdAGxsr8ap0emwgWs0jg2bMTnrxKt66pO4Z+mRDZkV3Q0GXJi0YtbhxvFhc8HX0wERgjoppVlK2S+lfKeUciDoI6r1ZumjTAbU+j8kgNsAPODf/gCA7fHvPqXS8Sjq6YDLM7MSWeVQTlKUN8JspFWr0FJVkvYOmGabbxWzI8qVOsBXVzdstoc8JqdGZzA244irMPu1qxtRrFXh4QPxN0x5+OAQZhxuvHdLR9yPkWwrA0Fd8jpgmq0uPHxgCHdsaMHzn/4rAMAHtnbEXU+lvFlmQ3OBjR1VUAvgiROXAADv+d/dCafdJLOhSL5qXWQA+ZkxC5bXxTd1KNGgulirRkdtadRjDQKDx2Osq2qv0Ues6522u3BqNL4RG//19JkF2+JdfWgsL4ZaJVLaATMwLuWeP+HJk2N43epGdNZnfozwulbfEPL9A6FXsnJ18Hiwqzuq4ZXAwQumuB/j2d5xCOHrOptrsiGzoqexDFICT568hFmnp+Dr6YDoauriJoRQCyEOARgD8ISUcg+ABinlCAD4/w15iUIIcbcQYp8QYt/4+HgqdzMrJHOWVbJE0yQF8OU2V+m1CY01UDq6ZfNKHeCr6Uj3Sp1yAhPLSt26Vt8xOxyiWcrzp33Pp+u7Y38jMRRr8ZqVjfjDkZGwdT2RSCnx0139WNNcgfUZqvkIxVCsRXuNHidGkrdS9+t9g7C5PHjf1g6U6jRoriwJpMfFQ1mpi2W4c6o8dmwUwQm4QwmsaARLVkORfNVQXgytWoRM6ZNS4uz4LDrj7HyZjKD6ihg6YA6b7CjTaVBeHFtdVVt15C7EBy+Y4JWLz6cLvU/JW33QqFVoqkzdrLrgcSmKx4+PZsW5g6FYi54GAw6ECHhsTg+mrK6cX6lb11YJtUokVFf33OlxrGmuQE0csxAzLRsyK5QOmA8f8P3Nr8qxusRUSGlQJ6X0SCnXAWgBsEkIsTqG+/5ASrlRSrmxri73ugLFItmzrJJFaZJSFaFJiqKhvDihmrrBSSsMOk1ah6TGo6NGj37jbFrHGgRm1EUxzkCxqqkCapXAocGFV0qfOz2OngZD3J3Hbt/QDJPVhWd6x2K+78vnjOgbs+C917Zn3YDQZDZL8XglHni5H5uWVgfeaDrry9CXQFA3Mm1HdQYHjwe77/FezJ8tnC+dKrOZWiXQUqUPufozYXHCbHNheZwz6oDEg+qehnIMTFphdUYepwJcXq2J9XWgvUYPm8uD8TDp/vv6J6FWibgahSR79aG1Sp+y9MvQNU3RN7ZJtfVtVTh4YWrBEPLLK7SZvziViDKdBiuXlMc9r85kdeLghSm8KgdHGQDZkVnRXlMKnUaFF/rGoVWLQJBXyNKSeC2lNAF4FsCtAC4JIZYAgP/f2M8M80w2FJyGEk2TFEV9eTEuJVBTd2HSitZqfdad6M/XXlOKGbs74fENsVAas7RXR79SV6xV44pGw4Ih5FanG/v6p3BDHKt0ius7a1GmU+PjDx6MeWX5gV39qNJr8ca1TXH//FRZuaQcA0ZrQjUSiidPXsLFKRveH5Ri2lVfhrPjlgUnOdEaMWVPylI21FMUqpaqkpCz6s6O+5ukxLlSlww9jQZICfRdWvzixYjZjiVxBEtt/jT0cHV1r/RPYlVTeVydFZO9+tBSVYLBFM2qy/bn4Ia2SszY3YG/S0WujzMItrGjCocGTXFlrbx4ZgLeGDtQZ5tMZ1b8/vAwvFIGLjD+6Wj6Ripkq5QFdUKIOiFEpf/zEgA3AzgFX+OVu/w3uwvAI6nah1wgpZyTPhEsky/O0TZJUdQbdAnW1Nmyup5OodS1pbOurt9oRWN5ccwzh9a2VuLwRdOcIGL3OSOcHi9uSODq4B+OjMDm8sLu8sa0sjxksuGJE5fwjk1tWbHaNJ+yonYyCat1P3mpH00Vxbhl5eUZfJ31ZbC7vGGf74vJhhl1imyopyhUrdWhB5AHOl9mMKiLpQPmsMmOpjj+npUuxKHS4J1uLw4NmrAxzm6syV59aK3SY3zGAfu8i7bJEC4NO1uegxv8zZPmDyEfzvHB48GklLC7vOj5pz/HXDbzXO84yos1MXWgpsuUDDeXx3d+4/LIrMhwy7RUrtQtAfCMEOIIgFfgq6n7A4B7AdwihOiDbwbevSnch6x2ZmwG7/3R3rDfz+SLc7RNUhQN5TqMzTjiWoWQUmb94HFFe+CEIn1B3UAM4wyCrWv1XSk9H7Svz/WOo1iriqveRHHf473wzDvO0aws/2L3AADg3dcsbPOfDZLVAfPU6DRePmfEndd2zOm+19XgO9nuG4uu5mi+0Wk7GrMkqMuGeopC1Vatx5TVhZl5K8pnxy3QF6kzGvi3VutRrFUFZkeF43B7MGFxxLVa01xZApUIPavu+LAZdpc3pvl08yVz9UFpbJOKFMzGioV1WNn0HFxWW4pKvXbBvLoR/0pdtryWxWvnwSE8uHcQAGIum5FS4rnT47i+uy7mDq3kk60ZbpmWsr8mKeURKeV6KeWVUsrVUsov+rcbpZSvllJ2+f9NfHpjjpm2u/ClP5zArd98AYcGTbhjfROKtQsPxd+8ankG9s4n2iYpiobyYni8EsZZZ8w/a3zGAYfbmxNBXWt1CYQA+ifS1yyl32gNXJ2OhVJTEtxW+vm+CWxeVpPQSlm4FeQhky3kCsLOg0PY8pWn8J1nz6JIrcK+BGf7pEp9eTFqy3QJN0t5YFc/irUqvHPeDL7OOt8qRjzNUmxOD0xWV9akLGVDPUWhCjf/zNf5siyjKexqla+upfdS5OeQ0vQnlnEGiiKNCk2VJSGHnCuvLVclENQlk5J9kuwUzGd6x3Bo0IzXrW7M2uegEALrWysXrNSNmG2oLdNBp8m+bI1Y3Pd4L+zz0i6jDSpOjsTfgZp8sj39OFNiTzqnmOw8OIT7Hu/FsMmGJZXFuKGrDk+evATjrBPvuLoVn3pND2rKdLih+/Lt6gw6jM84cGjQhHdvbs/Ifh+JoUkKcHlW3aVpO+oMsXVyUtpzt+RAUKfTqNFUURK2pXiyWRxuTFgcaI+hSYpieV0ZSovUODxowh0bWnDBaMX5iVm899rE/qaaKkvCphBe/7Vn0FVfhptW1OOmnnoMTVnxuZ3HA1fU7G4v7nnYN9g3W04+FDsPDmHG7sJD+y/i5bNG7NjWE/M+Ts06/WMMmlGpn/vcqdBrUWfQRVVvNF82NhfYvr45645hIbgcKFgDozgA4OyYBZuWJj4EPlE9DYZFmygpdVWxDB4P1l4TelbdK/2T6KjRZ838yxZ/AH4xie8XNqcH/7zzGDrry/Cf71iX1cHRhrYqPNM7DrPNFWiCNmy250XqZSJBxXP+DtQM6uIX7jwkW9KPM4Xrvik0v6vlsMmOB18ZRGmRGo9+7Dp85Y4rA61sg1M+9n7uZnzkVcvxm/0XsevsREb2/VgMTVIAX/olAIzNxF5XdyFHxhko2v0dMNNBSfOMZ6VOrRJY01KBQ/6xBs/1+d5IEqmnA8Kn3v3j667AP71+BeoMOtz/wnm8/Qe78Q8PHcmJFAnluerwX3mNtwPtg68MwuH24q4wM/i64uyAGRg8nkVBHWVGYAB5UKAw63Bj2GzPaD2doqfRgAmLExOW8I2zAhcp4jy5b6suXZB+KaXEvoEpbEwgtTzZ6sp0KNKokrpS962n+nBxyoYvb1+d1QEdcLmu7lBQtshwFjV8SkS44CGa1+hne8ewYkl5VoynyVUsAQiNQV0Khcr5BQC3Vy7agOTjr+5Ce40en/vdsZQUWUcSa5MU4HLRdjyz6pQ0ouYcucKSzll1A4EZdfEFvGtbK3FyeBoOtwfPnx5Hc2UJltXGN5xYES717u4bluOD1y/DLz+0GQf+5RZ8590bEG7yQ7alSCQjP9/t8eJnL/djy/IaXNEYeghqZ30Zzo5ZYh6JMWxObGWD8kdFiRYGnWZOUHdu3BfgJDLOIFmUv/3TEerqRhL8e26v8dUVBneqPTcxi8lZZ0L1dMmmUomw3UrjcWp0Gv/7wjm8bWMLrllWk5THTKW1rZVQCeCAfwi5lNLfxTf3X8dCBRUA4PZ6I9ZQzthd2D8wxVW6BLEEIDSmX6ZQ+OX5xVezirVqfHn7Grzn/j34zjNn8MnXpO/qQ6xNUgAEUi7jmVV3YdLX3TEbOyKG0lGjx+Ssc05KSaooK4KxDB4Ptq6lEk6PF0cvmrHrzARuW9+clJqbxVLvyou1eN2aJWjOkRSJZOTnP3HiEobNdvzrm1aFvU1XfRlmHG5cmnbEtOo26l/Z4EodCSHQUq2fs/qTDeMMFD3+DpinRmewpTP06JRhkw1Vem3MHX0V7f7VygtGK1b736eUIdDZtFIH+FIwLyZhpc7r9XX3Ky/R4p7XrkjCnqVemU6D7gZDoK5u2u7GrNOTMxdwI1He/5SymabKEtyxoRkP7OrHm7+7Cw98YFPIi3u7zhrh9koGdUnAEoCFuFKXQuFOwKI9ob2uqxZ3rG/Gd587i75L8XXMi8eROII6rVqF2rIijMUxq25wypoT4wwUSoB1IQ2rdQMTVtSW6VAWx8wlwHelFAB+9NJ5zDo9uKErvW8kuZIiEe45WR1lTSkA/HhXP1qqSvDqFQ1hb9NZ7zvhjbUD5ojZjiq9NmcufFBqtVXPXf05M2aBWiXivviTTHUGHWpKiyKONfCN54j/NT8wqy7oNfiV/ilUlxYlnImQbK1VJSGHxcfql3sv4OAFE/7p9SuirnXPBhvaq3Dogm+0TqJpt9lmfqfUf3hND37zkS0AgLd+72XsPb+wD+CzveMo02lwVXv2rChT/mBQl0KddQvfXGI9of3c61egTKfBPQ8fjXtocayOxtgkRVFvKI5rVt2gf/B4ruioTd+sun7jbGA2Xjz2nDNCJYA/HR0FAExZ4x8QH49cSZEIFXwKAUxZnXjyxKVF73982Iy95ydx17UdUKvCr4QqKymxdsBM9CSY8ktrlR6DU9ZAGu/ZcQvaq/Uo0mTHW3pPowGnIlyI9K1sxH9iHxgtM3n5NXhf/yQ2tldltPtnKK3VephCjKCIxdiMHV997BS2LK/B7Vn22rmYDW1VmHG40TdmCYwzyOfXsp5GA3770S2oM+jwnvv34PHjo4HvSSnx/OlxbFlekzXPVcov/KtKkZMj03jprBFbl9ckdEJbU6bD516/EvsGpvCrVy6kboeDHBsy48oY6ukUDeW6mGvqHG4PRqftOdMkBbjcqCAds+oGjNa4r77vPDiEf/zdMQRfC/ji70+mfThnMuc+pUqo4PPLt6/GmuYKfPQX+/HEIoHdT17qR4lWjbdd3RrxdrVlRajUa2NulpJNg8cp81qr9bC7vBj3NyM5M2bB8ixIvVT0NBrQd2km7IXI4QTrqsp0GtSUFgWyJcZm7Og3WhOav5kqygiKRFIwv/SHk3C4vPi37auzLmhdzIa2SgC+IeT5NHg8kpYqPR76yBasXFKOj/58P36113fudnbcgiGTDTf2MPWSUoM1dSkgpcTnHzmOihIt/ufdGxa0No/Vmzc04+EDF3Hvn0/hlhUNqE9hxySz1dck5W0bI5+chtJQXhzz4OahKRukvPzGlwv0RRo0lOtCzklKJpvTF/DGu1IXqflHNgZWmRYqP//1a5rw3h/txd/8Yj/+510b8JpVjQvuZ7Q48MjhYbxtY8uiNZZCCHTVl+FMjGMNRs22wMkR0eUOmDZU64vQb5yNmPabblc0GmB1ejA4tfCi1KzDjWm7O+EUvPYafSD9cr9/Pt3GLGqSomip8o+gmLRixZLQDZQiebZ3DL8/PIxP3NyNZVnQCCdWS2tLUaXX4sDAFOrLdVCrRNaMnEil6tIi/PJD1+BvfnEA9zx8FM+fHg90M//2U30oLdLwfZiSjit1KfDo4WHs7Z/Ep2+9IuGADvCdCH759jVwuL34wu9PJGEPwzs2HHs9naK+vBgTFgfcHu/iN/YLjDNIIMUwE3wdMFO7Uqf8btrjrBHhcM7EVZRo8bO/3oSVTRX42C8PzEmlUTz4yiCcbi/uurYjqsfsrC/DmfHogzqb04MpqyvrmstQ5gRm1U1acWHSCpdHZkWTFEWPv0HEqRB1dUpdVaKdXNtrSgOvka/0T6FYq8Kqptjft1JNKS2IZ6yBzenBPz9yDMvqSvGRVy1L9q6lhRACG9qqcODCFEZMdjSWF0dMUc8n+iINfvjejdjYXok/HxuF2eYG4OsSHs/IHKLFMKhLMovDjX//00msaa6Ia7UrnKW1pfh/N3Xij0dH8NTJxWt84nU0jiYpinqDDl4JGGedUd9HeaPLpZU6wNcBM9UrdecnlBl18f1uwgUBDA5iU17sC+xWNVXgY784gMeOXQ7sXB4vfvbyAK7vqkVXgyGqx+usN2By1gljhDlewUb9daqNnGlEfspQ68FJa6A+c3mIGu5M6fIHmKGapQwH6qoS+3tuq9Zj2GyDw+3BvoFJrGutzMo6pSq9FqVF6rjGGnz76T4MTtrw77evyfqZdJFsaK/C2fFZnBydKbg0cq1aFRhJEywb57VS7su+V8Ac919P9+HStANfuG1V0q9G3X3DcnQ3lOFfHjmOWYc7qY8N+GqwvvXkaQDAG/7rxZivIl2eVRd9s5TBSSuKNCrU+0ci5IpZhxvjMw4s/ewfsfXep1NyxW0gwXEGudJ5Mhcogd2algr87S8P4Au/P4at9z6Nrs/9GaPTdlzRGF1AB1w+4Y22ri7QMa7AToYovGKtGvUGHQanrDirzKjLopW6Up0GbdX6kEFdYKUuwYtL7TV6SAmcHrXg+PB0VtbTAf4RFHGMNegdncEPnz+Ht17Vgs05MJMukvX+1PGTI9NYUoAXFUfCjLFi1gwlG4O6JDo7bsGPXjyPt17Vgg1tyc/tL9Ko8JU71mDIZMOmf38yqQHFzoNDuOfho7C5fKmTQyZbzOkBDeXKrLrom6UMTlrRUlUCVQ6lY+w8OIS/+BtnSMT3u4pGv9GK6tKiuGfh5UrnyVxhKNbipx/YhObKYvz4pYE58/d+vnsg6uMfawfMUf9V3kI8GaLwWqv1uOBfqWso16G8OLUzM2PV02jAqdGFNdbDJjuEuHwRMF7t/gyGnYeG4PHKrJtPF6y1uiTiQOpgOw8OYcu9T2HbN5+HV8rAWJpctrbFN4QcAJoK8OIUs2YoXRjUJYmUEv/66HEUa9X49K1XpOznDE7aoFYJzDo8SQ0oIjXViFY8K3UXJq051fkS8P2uXJ65Xd1SkUoxYJwNnLjEKxc6T+YSQ7EWTs/Cjn42lzfq47+kohilReqog7oRM9MvaaHWqhIMTtpwdtyC5VnYQOOKRgP6jVbY572vjJhtqC3TJZwq2Vbty2B45NAQVAJZ3UiopUqPwcnLIyjCUS6uKimqXgl8+Y/p71icbE+cuASVv2vng69cyPn/T6yYNUPpwqAuSf5y4hJe6JvAJ27uRl0KUwnve7wXHm/yA4pkNNWoKS2CSiCmWXWDk9acq6dLVwOSAaMVHVkwTJjmGg1RHwFEf/yFEL5mKTGkX1bqtSgpyt2aGkq+tmo9Rsw2nBmzZFWTFEVPowEer8TZeU2BRsz2pKxQ1JYVQV+kxoTFiSsay2HIspXKYK3Vesz6Gx5F8tXHTiV8cTXbKIGq23/eYra5C65JCLNmKF040iAJ7C4PvvSHE+hpMOC917an9GelKqBoqiyZk04WvD1aGrUKtWXRz6ozW12YtrtzbqUuGb+rxdhdHgybbQmv1FHyJeP4d9Yb8OKZ8ahuO8rB4xRCS7UeXulrzpWtK3WArzYsuCvlsMmG7iibCkXyyKFhON2+coEB4yx2HhzK2pNkZazBxSlfSv18Xq/EQwcuBlbl58vl2iuO1vEJNTKHKNm4UpcE33vuLC5O2fCvb1oFjTq1v9JU5Wbv2NaD+TNN40kPaCgvxqWZ6FbqlHbUrTkW1IVKpQCAt1yVvBfsi1NWSAmu1GWhZKTSdDWU4dK0A9P2yFfuAV8NEpuk0HzBGQ7ZuFLXUVOKIo1qTrMUKaX/7zmx96v5qz+zTk9Wr/60Vl2eKzjf4UET7vjuLnz6oSPQqkPXludy7RVH6xClD4O6BA1OWvHdZ8/iDVcuwbXLU9+hKlW52a9Z1QBIoEynSSg9oKFch7EoV+oGp5SgLrfesOanUjRWFKO2rAg/fqk/ZGOAePRP+GfUcaUu6yQjlaazLvpmKaPTdjQyqKN5gl9r/uHXh7MuoNGoVeisK5szq85sc8Hm8qApwcHjyagBT6fAXMGgZikTFgc+89ARbP/OS7g4ZcN/vHUtvnbHlXlXe8UmIUTpw/TLBH3pDyegEgKfe/2KtPw85cTxvsd7MWSyQaMSScnN3j8wBQngv9+1Hq/qqY/7cerLi3Fo0BTVbXN1pQ5YmEoxOGnFW7/3Mu68fy9++5EtCQ9T7zcqM+q4UpeNEk2l6WrwB3WXLBE75dpdHkzOOguyYxyFt/PgEL722KnA16PTdtzz8FEAyKoUrysaDdh11hj4+vKMusRO6HNt9eepk2MQArj3z6fw05f7cU1HNZ48NQab04MPXb8Mf3dTZ6AmUKgE7nu8F8MmG5oqS7BjW09WHdNY7djW4++sfTkIz/VAlShbMaiLw86DQ4GgCgDecGVjWmtelBPK7z57Fl997BSu66pN+DH3nJuEWiUSbgvdYCjGhMUJl8cL7SKpqIOTVlTqtVnXijserdV6/OyvN+Gt338Z77l/Dx76yLWoT6Bb4YDRivJiDSr1uf+7oYVaqvTQaVToG1s4xyuY0pSlkTV1FMS3UuWdsy0b65R6Gg14+OAQzFYXKvTayzMXE1ypS0ddc7IoqaJK48thkx2/OzSMnoYy/M+7r1qQOptvtVfBF6LzJVAlylZMv4yR8gId/Iby5MmxjKS+bF7mC8D2nJtM+LH2np/E6qZylOkSi/OVWXXjM4unYObiOINIuhoM+Mn7N2HC4sB7f7QX5kU6nUXSb5xFR20pxPxCR8oLapXAsrrFO2AqjRNYU0fBcmWlqtvfLEVJFR32/z03JXiRIpdaxIdKFQV8DW6ysRYyFThahyg9GNTFKNQLtD2GGVXJtLq5AqVFauw+Z1z8xhHYXR4cGjThmmWJ1wTGMqvu4pQt58YZLGZdayV+cOdGnBufxQceeAVWpzuuxxkwWtHO1Mu81lVfhr5FgrrRaf/KBoM6CpIrdUqBDpiXfCvSI/6SgUTH/uRSi/jwAXj0o3+IiKLB9MsYZdMVUq1ahY0d1QkHdQcvmOD0eHHN0sRSLwGg3r9St9hYA49X4uKUFdtWNSb8M7PNdV21+NY71uFjvzyAO76zC9M2V2A2UzRpJ063FxenrLhtXVOa9pgyoau+DI8eHobV6Ya+KPRLsXLix0YpFCxX6pQay4tRXqwJNEsZMdvRUF4MtSrxDIRcSVPMpVRRIsptXKmLUbZdId28rAZ9YxZMWKLrOBnKnvNGCIGE6+kAoN7gO/kcW2SswaVpO1wemVfpl8Feu2YJ3npVC06NzmDYbIcEMGSyRdV2++KUFV4JrtTlOSX16tz4bNjbjJrtqCjRhg36qDDlykqVEAJXNJbjtD+o89VUFdYFilxKFSWi3MYzhRhl2xXS4Lq611+5JK7H2HNuEiuXlKOiJPGmHDWlRVCrxKLpl5c7X+bv1coXzyxcQY2mmcGA0fe76eA4g7ymdMDsG5vB6uaKkLcZMXNGHYWWKytVPY0G7Dw05JtRZ7ZhfWv4bq/5iI1CiChdGNTFKNteoIPr6uIJ6hxuDw5cmMK7rmlLyv6oVAL1Bt2i6ZdKUJevK3VA/Km6gXEGtVypy2ftNaXQqETEZikjZhuDOsppPY0GzNjdGDLZMGq2Y8mawvt7zpUAnIhyG4O6OGTTC3SidXVHLprhcHtxzdLkDU6vLy9edKXu4qQVKpHfdQXhaikWq48aMFpRptOgprQoVbtGWUCrVqGjthR9l8IHdaNmO65sqUzfThElmdIsZdcZI1wemXDnSyIiCo01dXkgkbq6Pf5gcFMSmqQoGgw6jEWxUrekomTRWXa5LFQtBQB4vTJksKfoN86ivUbPcQYFoKs+/FgDu8sDIwePU45Txho80zsGgJ1ciYhSJX/PqAuIUle393zs8+r2nJ9ET4MB1UlcFWooL8alRRqlDE7Z8rqeDgjdzOBv/mo5rC4Pbv+fl3BsyBzyfgNGKzrYJKUgdNaXYWDSCod74RwrZbWbnS8pl5UXa9FcWYIX+iYA5Hd2BhFRJqUsqBNCtAohnhFCnBRCHBdCfNy/fZ0QYrcQ4pAQYp8QYlOq9qFQxDuvzuXxYv/AFK5ZlrxVOsA3gNxkdYU8UVXk2+DxcOYPXf30tivw249ugUYl8Pbvv4xn/VevFW6PF4OTVrSzSUpB6Kwvg8cr0T9hXfC9y4PHeRJMua2n0QCLwzezkyt1RESpkcqVOjeAf5BSrgCwGcDHhBArAXwNwBeklOsA/Iv/a0qAVq3CVXHU1R0bMsPq9CS1ng7w1dQBCJuCaXN6MD7jKIigLpTuBgN+97GtaK8pxV8/sA//98qFwPeGTXa4vZIrdQWiq96XmtY3NrPge6NKUFdgLeAp//T4UzB1GlVSs0KIiOiylAV1UsoRKeUB/+czAE4CaAYgAZT7b1YBYDhV+1BINi+rxulLsdXV7fGnayazng7wpV8C4WfVXZxSxhkUZlAH+H5Hv/7ItdjaWYvP/PYovvGXXkgpA50vuVJXGJbVlUIIhKyrGzb76i4byxnUUW6bsbsAAA63F9d99ZlFZ3USEVHs0lJTJ4ToALAewB4Afw/gPiHEIICvA7gnzH3u9qdn7hsfH0/Hbua0zct8q22x1NXtOWfE8rpS1Bl0Sd2XhnLf44Uba3B5Rl1hBy5lOg3uv2sj3r6xFd9++gze+r1d+LtfHQAAfPzBQzzxKQDFWjXaqvXoCxHUjZrtKC/WoFTHJsWUu3YeHMJv9l0MfD1ksuGeh4/y9Y2IKMlSHtQJIcoA/BbA30sppwF8FMAnpJStAD4B4P5Q95NS/kBKuVFKubGuri7Vu5nz1jRXQB9DXZ3HK7GvfwrXLEtu6iUANBh8KwvhxhoMKkFdVWEHdYAvdfbeN6/B61Y3Yt+ACWabr+5kdNrOE58C0VVfhjMhxhqMmO1sKkE5777He+Fwe+dss7k8uO/x3gztERFRfkppUCeE0MIX0P1CSvmwf/NdAJTPfwOAjVKSINZ5dSeGpzHjcOOaJKdeAkClXositSrCSp0NJVo1astYWwEAQggcvriwEyZPfArD8voynJ+Yhdsz98R3xGxj50vKecNhxreE205ERPFJZfdLAd8q3Ekp5TeCvjUM4Eb/5zcB6EvVPhSaWOrq9pz3BX/JbpIC+IKUOoMOY+FW6qasaK0u4Ry2IDzxKVxd9QY4Pd5AWrJi1Gxnp0DKeeFWm7kKTUSUXKlcqdsK4E4AN/nHFxwSQrwOwIcA/IcQ4jCAfwdwdwr3oaDEUle3+9wk2mv0KVsJaCjXhZ1VN1gg4wxiwROfwtVZXwZgbrMUh9uDCYuT4wwo5+3Y1oMSrXrOthKtGju29WRoj4iI8lMqu1++KKUUUsorpZTr/B9/8m+/Skq5Vkp5jZRyf6r2odBEW1fn9Uq80j+ZktRLRUN5ccj0SyklBietaGE93Rw88SlcSlAX3Czlktn33GH6JeW67eub8ZU71qC5sgQCQHNlCb5yxxpsX9+c6V0jIsorbKuWR6Ktq+u9NAOzzZWS1EtFQ3kxXjwzsWD75KwTs04PV+rmUU5w7nu8F8MmG5oqS7BjWw9PfApAmU6DporiOSt1I/5xBky/pHywfX0zX8uIiFKMQV2e2bysGl97rBcTFgdqy0KPKtjjD/quWZa6lbr6ch1m7G5YnW7oiy7/mQ1O+U5WGdQtxBOfwrW8vmxOUDfqr0dl+iURERFFIy1z6ih9oqmr23N+Es2VJSlNgVTGGozNS8HkjDqihbrqDTgzZoHXKwEAwyZfUMf0SyIiIooGg7o8s1hdnZQSe89PpnSVDvClXwLA2MzcoC4wo66aKxBEiq6GMthcHgz5u52Omm0wFGtQxsHjREREFAUGdXlmsbq6M2MWGGed2JzCejrA1/0SWDiAfHDSitqyojkpmUSFLtABc9yXgjlitqOJqZdEREQUJQZ1eSjSvLrd/rTMVK/U1ftX6uYHdRcmrUy9JJqns84f1F26HNQx9ZKIiIiixaAuD0Wqq9tzzoiGcl3KG5WUF2tQrFUtTL+csqKV4wyI5qgqLUJtmQ59YzMAfEEdO18SERFRtBjU5aFwdXVSSuw5P4lrltZACJHSfRBC+GfVXV6pc3u8GDbZ2fmSKITO+lKcGbPA6fZiwuLgSh0RERFFjUFdHtKqVbiqvQp7zs1dqes3WjE+40h56qWiwTA3qBsx2+HxSgZ1RCF01RvQN2YJPGdYU0dERETRYlCXpzYvq0HvpRkYg+rqAvPpUtwkRVFXrpsz0kAZZ9DCzpdEC3TWl2HG7sahQRMAjjMgIiKi6DGoy1Oh6ur2nJ9EbZkOy+tK07IP81fqlKCOK3VEC3X5O2C+2DcBAKypIyIioqgxqMtTV7ZUoER7ua5OSok954y4Zml1yuvpFA3lOsw6PbA43AB84ww0KoElTCsjWqCzwRfUvdA3DgBYUsnnCREREUWHQV2e8s2rq8Juf13dxSkbhs32tNXTAZcHkCurdRcmrWiuKoFalZ6gkiiX1JXpUF6swbDZDoOOg8eJiIgoegzq8lhwXd3uNNfTAUD9vAHkg1M2jjMgCkMIga4GAwDW0xEREVFsGNTlseC6uj3nJ1Gl1wbqdtJBWalTmqUMcvA4UURa/yp235gFW+99GjsPDmV4j4iIiCgXMKjLY8F1dXvOG3F1RzVUaUx9DAR1M3ZYHG5MzjrRys6XRCHtPDiE/RemAl8PmWy45+GjDOyIiIhoUQzq8phSV/enY6MYnLThmmXpS70EgDKdBqVFalyadmCQnS+JIrrv8V64PHLONpvLg/se783QHhEREVGuYFCX58qLNRif8aU/fu+5s2m/6t9Q7htrwHEGRJENm2wxbSciIiJSMKjLYzsPDuHJk2OBr8dnHGlP56r3DyBXVurYKIUotKYwIwzCbSciIiJSMKjLY/c93guH2ztnW7rTuRrKi3Fpxo7BSSsMOg0q9dq0/WyiXLJjWw9KtOo520q0auzY1pOhPSIiIqJcwUFIeSwb0rmC0y9bqvVpG3xOlGu2r28G4LsYM2yyoamyBDu29QS2ExEREYXDoC6PNVWWYChEAJfOdK56gw52lxfHh6exvq0ybT+XKBdtX9/MII6IiIhixvTLPJYN6Vz1gbEGDtbTERERERGlAFfq8lg2pHM1GHSBz9tqGNQRERERESUbg7o8l+l0LmUAOQC0cpwBEREREVHSMf2SUmrveWPg8888dCTtc/KIiIiIiPIdgzpKmZ0Hh/D5R08Evh7LwJw8IiIiIqJ8x6COUua+x3thc3nmbEv3nDwiIiIionyXsqBOCNEqhHhGCHFSCHFcCPHxoO/9nRCi17/9a6naB8qsbJiTR0RERESU71LZKMUN4B+klAeEEAYA+4UQTwBoAHAbgCullA4hRH0K94EyKBvm5BERERER5buUrdRJKUeklAf8n88AOAmgGcBHAdwrpXT4vzeWqn2gzMqGOXlERERERPkuLTV1QogOAOsB7AHQDeB6IcQeIcRzQoirw9znbiHEPiHEvvHx8XTsJiXZ9vXN+Moda9BcWQIBoLmyBF+5Y01GRywQEREREeUbIaVM7Q8QogzAcwC+LKV8WAhxDMDTAD4O4GoA/wdgmYywIxs3bpT79u1L6X4SERERERFlKyHEfinlxlDfS+lKnRBCC+C3AH4hpXzYv/kigIelz14AXgC1qdwPIiIiIiKifJXK7pcCwP0ATkopvxH0rZ0AbvLfphtAEYCJVO0HERERERFRPktl98utAO4EcFQIcci/7R8B/AjAj/xpmE4Ad0VKvSQiIiIiIqLwUhbUSSlfBCDCfPs9qfq5REREREREhSQt3S+JiIiIiIgoNRjUERERERER5TAGdURERERERDmMQR0REREREVEOS/nw8WQQQowDGMj0foRQC45jyBU8VrmDxyq38HjlDh6r3MFjlTt4rHJHPhyrdillXahv5ERQl62EEPvCTXWn7MJjlTt4rHILj1fu4LHKHTxWuYPHKnfk+7Fi+iUREREREVEOY1BHRERERESUwxjUJeYHmd4BihqPVe7gscotPF65g8cqd/BY5Q4eq9yR18eKNXVEREREREQ5jCt1REREREREOYxBHRERERERUQ5jUBdECPEjIcSYEOJY0La1QoiXhRBHhRC/F0KU+7d3CCFsQohD/o/vBd3nKv/tzwghvi2EEJn4/+S7WI6X/3tX+r933P/9Yv92Hq8Ui/G59e6g59UhIYRXCLHO/z0eqxSL8VhphRAP+LefFELcE3QfHqsUi/FYFQkhfuzfflgI8aqg+/BYpZgQolUI8Yz/eXJcCPFx//ZqIcQTQog+/79VQfe5x39MeoUQ24K283ilUKzHSghR47+9RQjx3/Mei8cqheI4VrcIIfb7j8l+IcRNQY+V+8dKSskP/weAGwBsAHAsaNsrAG70f/4BAF/yf94RfLt5j7MXwLUABIA/A3htpv9v+fgR4/HSADgCYK3/6xoAah6v7DtW8+63BsC5oK95rLLoWAF4F4AH/Z/rAfQD6OCxyspj9TEAP/Z/Xg9gPwAVj1XajtUSABv8nxsAnAawEsDXAHzWv/2zAL7q/3wlgMMAdACWAjjL96ysPValAK4D8BEA/z3vsXissutYrQfQ5P98NYChfDpWXKkLIqV8HsDkvM09AJ73f/4EgDdHegwhxBIA5VLKl6Xvr+SnALYneVcJMR+v1wA4IqU87L+vUUrp4fFKjwSeW+8E8CuAz610ifFYSQClQggNgBIATgDTPFbpEeOxWgngKf/9xgCYAGzksUoPKeWIlPKA//MZACcBNAO4DcAD/ps9gMu/+9vgu2DikFKeB3AGwCYer9SL9VhJKWellC8CsAc/Do9V6sVxrA5KKYf9248DKBZC6PLlWDGoW9wxAG/yf/5WAK1B31sqhDgohHhOCHG9f1szgItBt7no30bpEe54dQOQQojHhRAHhBCf9m/n8cqcSM8txdvhD+rAY5VJ4Y7VQwBmAYwAuADg61LKSfBYZVK4Y3UYwG1CCI0QYimAq/zf47FKMyFEB3wrBnsANEgpRwDfCSp8q6iA7xgMBt1NOS48XmkU5bEKh8cqjeI4Vm8GcFBK6UCeHCsGdYv7AICPCSH2w7e06/RvHwHQJqVcD+CTAH7pr10IlYPLuRHpE+54aeBLj3i3/9/bhRCvBo9XJoU7VgAAIcQ1AKxSSqVeiMcqc8Idq00APACa4EsR+wchxDLwWGVSuGP1I/hOVPYB+CaAXQDc4LFKKyFEGYDfAvh7KeV0pJuG2CYjbKcki+FYhX2IENt4rFIg1mMlhFgF4KsAPqxsCnGznDtWmkzvQLaTUp6CL3UPQohuAK/3b3cAcPg/3y+EOAvfatBFAC1BD9ECYBiUFuGOF3zH5Tkp5YT/e3+Crxbl5+DxyogIx0rxDlxepQP43MqYCMfqXQAek1K6AIwJIV4CsBHAC+CxyogI71luAJ9QbieE2AWgD8AUeKzSQgihhe/E8xdSyof9my8JIZZIKUf8KWBj/u0XMTd7QTkufB1MgxiPVTg8VmkQ67ESQrQA+B2A90opz/o358Wx4krdIoQQ9f5/VQD+CcD3/F/XCSHU/s+XAeiCr6HDCIAZIcRmf+ec9wJ4JCM7X4DCHS8AjwO4Ugih99f/3AjgBI9X5kQ4Vsq2twJ4UNnGY5U5EY7VBQA3CZ9SAJsBnOKxypwI71l6/zGCEOIWAG4pJV8D08T/u70fwEkp5TeCvvUogLv8n9+Fy7/7RwG8w1/vsxS+c4y9PF6pF8exConHKvViPVZCiEoAfwRwj5TyJeXGeXOsMt2pJZs+4FsVGAHggi9q/2sAH4evm85pAPcCEP7bvhm+IsvDAA4AeGPQ42yEr67hLID/Vu7Dj8wdL//t3+M/ZscAfI3HK6uP1asA7A7xODxWWXSsAJQB+I3/eXUCwA4eq6w9Vh0AeuFrJPAkgHYeq7Qeq+vgS+c6AuCQ/+N18HVifgq+VdOnAFQH3edz/mPSi6BOfDxeWXms+uFrWmTxPxdX8lhl37GC70LXbNBtDwGoz5djpbzYExERERERUQ5i+iUREREREVEOY1BHRERERESUwxjUERERERER5TAGdURERERERDmMQR0REREREVEOY1BHRERERESUwxjUERERJZEQQp3pfSAiosLCoI6IiAqWEOJLQoiPB339ZSHE/xNC7BBCvCKEOCKE+ELQ93cKIfYLIY4LIe4O2m4RQnxRCLEHwLVp/m8QEVGBY1BHRESF7H4AdwGAEEIF4B0ALgHoArAJwDoAVwkhbvDf/gNSyqsAbATw/4QQNf7tpQCOSSmvkVK+mMb9JyIigibTO0BERJQpUsp+IYRRCLEeQAOAgwCuBvAa/+cAUAZfkPc8fIHc7f7trf7tRgAeAL9N574TEREpGNQREVGh+18A7wPQCOBHAF4N4CtSyu8H30gI8SoANwO4VkppFUI8C6DY/227lNKTpv0lIiKag+mXRERU6H4H4Fb4Vuge9398QAhRBgBCiGYhRD2ACgBT/oDuCgCbM7XDREREwbhSR0REBU1K6RRCPAPA5F9t+4sQYgWAl4UQAGAB8B4AjwH4iBDiCIBeALsztc9ERETBhJQy0/tARESUMf4GKQcAvFVK2Zfp/SEiIooV0y+JiKhgCSFWAjgD4CkGdERElKu4UkdERERERJTDuFJHRERERESUwxjUERERERER5TAGdURERERERDmMQR0REREREVEOY1BHRERERESUw/4/CTqhPjoWEfwAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(15,5))\n", "tx_bm.plot.line(marker='o');\n", "plt.ylabel('temperature (degC)');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Compute the linear time trend in the annual maxima\n", "\n", "A linear time trend is just a linear regression of the data onto time.\n", "\n", "Compute the trend in the annual block maxima calculated above using [stats.linregress](https://docs.scipy.org/doc/scipy/reference/generated/scipy.stats.linregress.html)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "# note that the time axis of tx_bm is no longer called 'time', it's called 'year'\n", "r = stats.linregress(tx_bm['year'], tx_bm)\n", "trend = r.intercept + r.slope * tx_bm['year']\n", "tx_bm_detr = tx_bm - trend + tx_bm.mean()" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAA3UAAAFNCAYAAACnuEbJAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjQuMywgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/MnkTPAAAACXBIWXMAAAsTAAALEwEAmpwYAADtBElEQVR4nOzdd3yb1fX48c+VvHe8RxLb2XsTAgkQZqDMltWySiedfEt/UKAt0F1W96CFQssqNOy9IQQIIXvvxHa8h7y3Ld3fH/eRLduSLe913q+XX7YfSY+uZFl6znPPPUdprRFCCCGEEEIIMTrZhnsAQgghhBBCCCH6ToI6IYQQQgghhBjFJKgTQgghhBBCiFFMgjohhBBCCCGEGMUkqBNCCCGEEEKIUUyCOiGEEEIIIYQYxSSoE0KIMU4p9Q+l1B2DsN8MpZRWSgVYv7+hlPryQN/PaKCUWq2Uyuvm8lql1JShHNNg6unxDuE4BuW1LYQQo03AcA9ACCFGM6VUNpAEOIFa4E3ge1rr2uEclyet9beG6H7OG4r78YdSSgPTtdZHhnssAFrriOEew1g0VK9tIYQY6WSmTggh+u9C66B9EbAYuH14hzN+uGcJh+p2QgghxEgkQZ0QQgwQrXUR8BYmuANAKbVCKbVBKVWplNqplFrtcdk6pdSvrMtrlVKvKKXilFJPKqWqlVKblVIZHtc/2dpWZX0/2dr+RaXUFs+xKKVuUkq9bP38H6XUr6yfVyul8pRS/08pVaKUKlRKfcXjdnHWONz3/yul1Mf+PH7r8Xzd+vl6pdTHSqn7lVIVSqkspdR5HteNVko9bN1/vnU/duuyqUqp95VSDqVUmfV8xHjcNlspdatSahdQ1zlAU0qtt37caT2vV3o87luVUkXAv5VSNqXUbUqpo9Z9rVVKxVr7cKeWflkpddwax0887iPUel4rlFL7gBN6eG60Umqax9/jb0qp15RSNUqpz5RSU7u57TNKqSLr775eKTXX47Ju92Xd77eUUoetsf5NKaWsy36mlHrC47qd02m/opTab+33mFLqhu4eo5fH+x3rfmuUUr+0/q6fWq+ttUqpIOu6E5RSryqlSq0xvqqUmmhdFmv93S60fo9QSh1RSl3n8fg7v7Z/5PHavkQp9Tml1CGlVLlS6sceY1xujafSuu5f3WMSQojRRoI6IYQYINaB6HnAEev3NOA14FdALHAz8JxSKsHjZl8ErgXSgKnAp8C/revvB+6y9hVr7evPQBzwe+A1pVQc8DIwUyk13WO/VwH/9THUZCDaus+vAX9TSk2wLvsbUGdd58vWV1+dCBwE4oF7gYfdAQXwKNAKTMPMbp4DfN26TAG/BVKB2cAk4Ged9v0l4HwgRmvd6nmB1vpU68eFWusIrfX/rN+TMc9rOvBN4EbgEuA0674qMI/f0ypgJnAmcKdSara1/S7M32sqsIbeP09fAn4OTMC8Xn7dzXXfAKYDicA24Mle7usCTNC5ELjCGq8/SqzbRgFfAf6glFri520BzgWWAiuAHwEPAldj/p7zrHGDORb5N+bvMhloAP4KoLUuB74KPKSUSgT+AOzQWj/m4z6TgRDMa/tO4CHgGmscp2D+hu61jU7gJszr8yTM3/g7vXh8QggxYkhQJ4QQ/feiUqoGyMUcCN9lbb8GeF1r/brW2qW1fgfYAnzO47b/1lof1VpXYQ7ej2qt37UClWcwAQ+YAOaw1vpxrXWr1vop4AAm9bMeeAnrINkK7mZhgj1vWoBfaK1btNavY9YCzlRmpuxS4C6tdb3Weh8m+OqrHK31Q1prp7WfFCBJKZWECX5/oLWu01qXYA7WvwigtT6itX5Ha92ktS7FBLCnddr3n7XWuVrrhl6Mx2U9tibrdjcAP9Fa52mtmzCB42WdZv5+rrVu0FrvBHZiAiMwwdGvtdblWutcTLDdG89rrTdZf+cn8Zjd7Uxr/YjWusZjjAuVUtG92NfdWutKrfVx4IPu7qvT/b5mvTa11vpD4G1MYOSve7TW1VrrvcAe4G2t9TGP1/pi634cWuvnrNdcDSYobft7a63fxvwvvIf5P+huxrAF83dpAZ7GBGx/sp6/vcBeYIG1361a643W/1M28E+6vs6EEGJUkKBOCCH67xKtdSSwGhNMxVvb04HLrfSuSqVUJWbmJ8XjtsUePzd4+d1dYCMVyOl0vzmYGQkws3LumY+rgBetYM8bR6fZrXrrfhIwBbRyPS7z/Lm3itw/eIwlAvO8BAKFHs/LPzEzUSilEpVSTyuTllkNPEH7c9qfcZVqrRs9fk8HXvAYw37M7E2St8dA+/ME5u/hOYbOf5ue+NpvB0opu1LqbitFtBrIti7yfD562pdf9+Xlvs9TSm200hYrMScjOv8duuPXa1spFaaU+qdSKsd6jOuBGOskg9uDmNm9f2utHd3cp8M6ieC+D2/jcN/vDCvVs8i639/08vEJIcSIIUGdEEIMEGs24z/A/damXOBxrXWMx1e41vruPuy+ABOEeJoM5Fs/vw3EK6UWYYI7X6mX3SnFpERO9Ng2qQ/76Uku0ATEezwvUVpr91qx3wIaWKC1jsLMeKpO+9B9uN/Ot8kFzuv09wnRWud7u3EnhXR8bib3YTz+uAq4GDgLkzKbYW3v/Hz0RR0Q5vF7svsHpVQw8BzmtZyktY4BXh+g++3s/2FSXE+0/t7u9Fn32j87Juh/DPi2stYmDoAHMLPd0637/TGD8/iEEGLQSVAnhBAD64/A2VZw9QRwoVJqjTXjEmIVc5jY7R68ex2YoZS6SikVoJS6EpgDvApgzbw9C9yHWTf2Tm/vwJrheB74mTV7Mgu4rg9j7el+CjFB6O+UUlHKFCyZqpRyp75FYlJCK611ibf04W6KgZ76wv0D+LVSKh1AKZWglLrYz/2vBW63inxMBL7fhzH6IxITADswAdhvBnDfO4BTlVKTrXROz6qtQUAwVqCvTJGbcwbwvj1FYmbQKq21o3d1utxd3OSrmCDzsU6zeP2532qg1nqtf3sA9imEEMNCgjohhBhA1hqwx4A7rLVWF2MOSksxM0O30If3Xivl7ALMrIYDU3jiAq11mcfV/ouZ0Xmmc/GQXvgeZkaoCHgceAoTVAy06zCBwz5MgZJnaU9L/TmwBKjCFId5vg/7/xnwqJVaeYWP6/wJs+7wbWtN5EZMcRd//ByTcpmFCVAf78MY/fGYdT/5mOdq40Dt2Frj+T9gF7AV6wSBdVkNppDMWszf5yp8r9Hsrz8CoUAZ5vG96b5AKbUU+CFwnXXS4R7MjOttA3C/N2MeVw2moMr/ur+6EEKMXErrvmSwCCGEGA+UUvcAyVrr/lTBFEIIIcQgkpk6IYQQbZRSs5RSC5SxHNPy4IXhHpcQQgghfAvo+SpCCCHGkUhMymUqpj3D7zDtEoQQQggxQkn6pRBCCCGEEEKMYpJ+KYQQQgghhBCj2KAHdVYZ7+1KqVet32OVUu8opQ5b3ycM9hiEEEIIIYQQYqwa9PRLpdQPgWVAlNb6AqXUvUC51vpupdRtwASt9a3d7SM+Pl5nZGQM6jiFEEIIIYQQYqTaunVrmdY6wdtlg1ooxWrIej7wa0yfGTA9m1ZbPz8KrAO6DeoyMjLYsmXL4AxSCCGEEEIIIUY4pVSOr8sGO/3yj5gGuS6PbUla60IA63viII9BCCGEEEIIIcasQQvqlFIXACVa6619vP03lVJblFJbSktLB3h0QgghhBBCCDE2DOZM3UrgIqVUNvA0cIZS6gmgWCmVAmB9L/F2Y631g1rrZVrrZQkJXlNHhRBCCCGEEGLcG7Q1dVrr24HbAZRSq4GbtdbXKKXuA74M3G1971NT25aWFvLy8mhsbByYAYs2ISEhTJw4kcDAwOEeihBCCCGEEKIHg1ooxYe7gbVKqa8Bx4HL+7KTvLw8IiMjycjIQCk1oAMcz7TWOBwO8vLyyMzMHO7hCCGEEEIIIXowJEGd1nodpsolWmsHcGZ/99nY2CgB3SBQShEXF4esYxRCCCGEEGJ0GPTm44NJArrBIc+rEEIIIYQQo8eoDuqG25///Gdmz57N1Vdf7fM6ERERAGRnZzNv3ryhGpoQQgghhBCiF17cns/Ku98n87bXWHn3+7y4PX+4h+S34VhTN2b8/e9/54033pC1Z0IIIYQQQoxiL27P5/bnd9PQ4gQgv7KB25/fDcAli9OGc2h+GTczdQMdeX/rW9/i2LFjXHTRRURHR3P//fe3XTZv3jyys7P7OWIhhBBCCCHEULjvrYNtAZ1bQ4uT+946OEwj6p1xEdS5I+/8ygY07ZF3fwK7f/zjH6SmpvLBBx9w0003DdxghRBCCCGEEEOqoLKhV9tHmjGRfvnzV/ayr6Da5+Xbj1fS7HR12NbQ4uRHz+7iqU3Hvd5mTmoUd104d0DHKYQQQgghhBh5UmNCyfcSwKXGhA7DaHpvXMzUdQ7oetreWwEBAbhc7fuShuhCCCGEEEKMHresmUlIYMfQKDTQzi1rZg7TiHpnTMzU9TSjtvLu971G3mkxofzvhpP6ff8ZGRm8+uqrAGzbto2srKx+71MIIYQQQggxNC5ZnEZFfTM/f2UfYOKEW9bMHBVFUmCczNTdsmYmoYH2DtsGMvK+9NJLKS8vZ9GiRTzwwAPMmDFjQPYrhBBCCCGEGBpL0ycA8K/rlvHJbWeMmoAOxshMXU/cf5D73jpIQWUDqQMUeXtWuHz77be9Xqe2thYws3l79uzp1/0JIYQQQgghBoejthmAuIigYR5J742LoA5MYDeaom0hhBBCCCHE0HHUWUFdePAwj6T3xkX6pRBCCCGEEEJ0x1HbBIzOmToJ6oQQQgghhBDjnqOumZBAG2FB9p6vPMJIUCeEEEIIIYQY98pqm4gLD0YpNdxD6TUJ6oQQQgghhBDjnqO2mfhRmHoJEtQJIYQQQgghBI66JuIiRl+RFJCgbsD87Gc/4/777/d5+Ysvvsi+ffsG7f5Xr17Nli1b/L7+unXruOCCCwZtPEIIIYQQQowm5bXNxIbLTJ3oRndBXWtr6xCPRgghhBBCCOGmtaasrnlUVr6E8RTU7VoLf5gHP4sx33et7fcuf/3rXzNz5kzOOussDh48CMDRo0c599xzWbp0KaeccgoHDhxgw4YNvPzyy9xyyy0sWrSIo0ePsnr1an784x9z2mmn8ac//YmtW7dy2mmnsXTpUtasWUNhYSFgZuBuvfVWli9fzowZM/joo48AaGho4Itf/CILFizgyiuvpKGhoW1cb7/9NieddBJLlizh8ssvb2uA/uabbzJr1ixWrVrF888/3+/HL4QQQgghxFhQ29RKc6uL+FHYow7GS/PxXWvhlRuhxQp8qnLN7wALrujTLrdu3crTTz/N9u3baW1tZcmSJSxdupRvfvOb/OMf/2D69Ol89tlnfOc73+H999/noosu4oILLuCyyy5r20dlZSUffvghLS0tnHbaabz00kskJCTwv//9j5/85Cc88sgjgJnJ27RpE6+//jo///nPeffdd3nggQcICwtj165d7Nq1iyVLlgBQVlbGr371K959913Cw8O55557+P3vf8+PfvQjvvGNb/D+++8zbdo0rrzyyr4/n0IIIYQQQowhjlqr8fgonakbG0HdG7dB0W7fl+dtBmdTx20tDfDS92Dro95vkzwfzrvb5y4/+ugjPv/5zxMWFgbARRddRGNjIxs2bODyyy9vu15TU5OvXbQFVgcPHmTPnj2cffbZADidTlJSUtqu94UvfAGApUuXkp2dDcD69eu58UYTmC5YsIAFCxYAsHHjRvbt28fKlSsBaG5u5qSTTuLAgQNkZmYyffp0AK655hoefPBBn2MTQgghhBBivHDUuRuPy0zdyNU5oOtpu58697BwuVzExMSwY8cOv24fHh4OmBzeuXPn8umnn3q9XnCweXHZ7fYO6++89dDQWnP22Wfz1FNPddi+Y8eOUdlzQwghhBBCiMFW5p6pG6WFUsZGUNfNjBpg1tBV5XbdHj0JvvJan+7y1FNP5frrr+e2226jtbWVV155hRtuuIHMzEyeeeYZLr/8crTW7Nq1i4ULFxIZGUlNTY3Xfc2cOZPS0lI+/fRTTjrpJFpaWjh06BBz587t9v6ffPJJTj/9dPbs2cOuXbsAWLFiBd/97nc5cuQI06ZNo76+nry8PGbNmkVWVhZHjx5l6tSpXYI+IYQQQgghxqvyutGdfjk+CqWceScEhnbcFhhqtvfRkiVLuPLKK1m0aBGXXnopp5xyCgBPPvkkDz/8MAsXLmTu3Lm89NJLAHzxi1/kvvvuY/HixRw9erTDvoKCgnj22We59dZbWbhwIYsWLWLDhg3d3v+3v/1tamtrWbBgAffeey/Lly8HICEhgf/85z986UtfYsGCBaxYsYIDBw4QEhLCgw8+yPnnn8+qVatIT0/v82MXQgghhBBiLHHUmgy+0drSQGmth3sMPVq2bJnu3INt//79zJ492/+d7FoL7/0CqvIgeqIJ6PpYJGU86PXzK4QQQgghxCj1s5f38ty2PHb/bM1wD8UnpdRWrfUyb5eNjfRLfyy4QoI4IYQQQgghRBeOumbiR2mRFBgv6ZdCCCGEEEII4YOjtmnUFkkBCeqEEEIIIYQQ45yjtnnUFkmBQQzqlFIhSqlNSqmdSqm9SqmfW9sXKaU2KqV2KKW2KKWWD9YYhBBCCCGEEKInjrpmTm/+0FTN/1mM+b5r7XAPy2+DuaauCThDa12rlAoEPlZKvQH8Avi51voNpdTngHuB1YM4DiGEEEIIIYTwyuXSrGp4j0vzHwFXo9lYlQuv3Gh+HgV1OQZtpk4btdavgdaXtr6irO3RQMFgjUEIIYQQQgghulPZ0MLN9rUEugM6t5YGUz1/FBjUNXVKKbtSagdQAryjtf4M+AFwn1IqF7gfuH0wxzBYKisr+fvf/z5o+1+3bh0XXHBBt9tffvll7r67h8brQgghhBBCCJ8ctU2kqjLvF1blDe1g+mhQgzqttVNrvQiYCCxXSs0Dvg3cpLWeBNwEPOzttkqpb1pr7raUlpYO5jD7pLugzul0DskYLrroIm677bYhuS8hhBBCCCHGorLaZgp0vPcLoycO7WD6aEiqX2qtK4F1wLnAl4HnrYueAbwWStFaP6i1Xqa1XpaQkDAUw+yV2267jaNHj7Jo0SJuueUW1q1bx+mnn85VV13F/PnzcTqd3HLLLZxwwgksWLCAf/7zn4CZaVu9ejWXXXYZs2bN4uqrr8bdAP7NN99k1qxZrFq1iueff767uwfgP//5D9/73vcAuP7667nxxhs5+eSTmTJlCs8++2zb9e677762cdx1112D8GwIIYQQQggxOjnqmri39Qpc9pCOFwSGwpl3Ds+gemkwq18mKKVirJ9DgbOAA5g1dKdZVzsDODxYYxhMd999N1OnTmXHjh3cd999AGzatIlf//rX7Nu3j4cffpjo6Gg2b97M5s2beeihh8jKygJg+/bt/PGPf2Tfvn0cO3aMTz75hMbGRr7xjW/wyiuv8NFHH1FUVNTrMRUWFvLxxx/z6quvts3gvf322xw+fJhNmzaxY8cOtm7dyvr16wfuiRBCCCGEEGIUK69r5mXXKupP+XH7xuhJcOGfR0WRFBjc6pcpwKNKKTsmeFyrtX5VKVUJ/EkpFQA0At/s7x3ds+keDpQf6O9uOpgVO4tbl9/aq9ssX76czMxMwARTu3btapsxq6qq4vDhwwQFBbF8+XImTjRTuYsWLSI7O5uIiAgyMzOZPn06ANdccw0PPvhgr+7/kksuwWazMWfOHIqLi9vG8fbbb7N48WIAamtrOXz4MKeeemqv9i2EEEIIIcRYVFbbjFIQOuUkk1t49bMw/ezhHlavDFpQp7XeBSz2sv1jYOlg3e9wCg8Pb/tZa81f/vIX1qxZ0+E669atIzg4uO13u91Oa2srAEqpft2/537dKZ1aa26//XZuuOGGfu1bCCGEEEKIschR20RsWBD2eqtYSriP9XUj2GDO1A2Z3s6oDYTIyEhqamp8Xr5mzRoeeOABzjjjDAIDAzl06BBpaWk+rz9r1iyysrI4evQoU6dO5amnnhqQca5Zs4Y77riDq6++moiICPLz8wkMDCQxMXFA9i+EEEIIIcRo5qhtJi4iCOqsTmvhI6+eR0/GRFA3HOLi4li5ciXz5s3jvPPO4/zzz+9w+de//nWys7NZsmQJWmsSEhJ48cUXfe4vJCSEBx98kPPPP5/4+HhWrVrFnj17+j3Oc845h/3793PSSScBEBERwRNPPCFBnRBCCCGEEJhCKXHhwVBnVdwPG30zdcqdpjeSLVu2TG/ZsqXDtv379zN79uxhGtHYJ8+vEEIIIYQYD8743TrmpETx1wlrYceTcHvucA/JK6XUVq31Mm+XDUlLAyGEEEIIIYQYiRy1zcSFB5mZulG4ng4kqBNCCCGEEEKMU82tLqoaWoiLsNIvR+F6OpCgTgghhBBCCDFOVdQ3A1iFUsokqBsOo2E94Ggkz6sQQgghhBgPymqbAEyhlPoySb8caiEhITgcDglABpjWGofDQUhIyHAPRQghhBBCiEHlqDUzdfHhAaN6pm7UtjSYOHEieXl5lJaWDvdQxpyQkBAmTpw43MMQQgghhBBiUJXXmaAuIaABtFOCuqEWGBhIZmbmcA9DCCGEEEIIMUq50y9jqTYbJP1SCCGEEEIIIUYPR10zgXZFRGu52TAKG4+DBHVCCCGEEEKIccpR20RceDCqvsxsGKXplxLUCSGEEEIIIcYlR21zezsDkKBOCCGEEEIIIUaTsrrm9sbjKAiLHe4h9YkEdUIIIYQQQohxqbyuibjwIBPUhcWBzT7cQ+oTCeqEEEIIIYQQ45Kjtrk9qBulqZcgQZ0QQgghhBBiHKpvbqW+2WmlX5aN2nYGIEGdEEIIIYQQYhxy1JrG46ZQiszUCSGEEEIIIcSo4qgzQV28BHVCCCGEEEIIMfo4apsAiA9R0FglQZ0QQgghhBBCjCZtM3W2GrNB1tQJIYQQQgghxOjhXlM3gSqzQWbqhBBCCCGEEGL0cNQ2ERZkJ7S53GyQoE4IIYQQQgghRg9HXbNV+bLMbJD0SyGEEEIIIYQYPcpqm4gLDzaVL0Fm6oQQQgghhBBiNHHUNre3M7AHQ3DkcA+pzySoE0IIIYQQQow75XXNxIZb6ZfhCaDUcA+pzySoE0IIIYQQQowrWmscdU3ERVjpl6N4PR0MYlCnlApRSm1SSu1USu1VSv3c47LvK6UOWtvvHawxCCGEEEIIIURn1Y2ttDg1ceFW+uUoXk8HEDCI+24CztBa1yqlAoGPlVJvAKHAxcACrXWTUipxEMcghBBCCCGEEB04apsAiI8INumXCbOHeUT9M2hBndZaA7XWr4HWlwa+DdyttW6yrlcyWGMQQgghhBBCiM4cdabxeFx4oKRf9kQpZVdK7QBKgHe01p8BM4BTlFKfKaU+VEqdMJhjEEIIIYQQQghPjloT1MUHO6G1cdSnXw5qUKe1dmqtFwETgeVKqXmY2cEJwArgFmCtUl1LzSilvqmU2qKU2lJaWjqYwxRCCCGEEEKMI446k36ZoKrMBgnqeqa1rgTWAecCecDz2tgEuIAu851a6we11su01ssSEkb3kyyEEEIIIYQYOdwzddEuCeq6pZRKUErFWD+HAmcBB4AXgTOs7TOAIKBssMYhhBBCCCGEEJ4ctU1EhwYS2OgwG0b5mrrBrH6ZAjyqlLJjgse1WutXlVJBwCNKqT1AM/Blq6iKEEIIIYQQQgy6srpm4iKCoK7QbJCgzjut9S5gsZftzcA1g3W/QgghhBBCCNEdR20T8eFW43GAsNEd1A3JmjohhBBCCCGEGCnK22bqyiA4CgJDhntI/SJBnRBCCCGEEGJccdQ2ExseNCZ61IEEdUIIIYQQQohxxOnSlNc3ExdhpV+O8sqXIEGdEEIIIYQQYhypqG9Ga4h3p19KUCeEEEIIIYQQo4e7R12cu1CKpF8KIYQQQgghxOjhqG0CIC48AOrHxkxdjy0NlFI2YCGQCjQAe7XWxYM9MCGEEEIIIYQYaI46M1OXGFAP2jW2gzql1FTgVuAs4DBQCoQAM5RS9cA/gUe11q6hGKgQQgghhBBC9Jd7pi6WarNhDKRfdjdT9yvgAeAGrbX2vEAplQhcBVwLPDp4wxNCCCGEEEKIgeOoa8amIMpZYTaM5Zk6rfWXurmsBPjjYAxICCGEEEIIIQZLWW0zseHB2OrLzIYxENT5LJSilLpGKXWtl+3fUEpdNbjDEkIIIYQQQoiB56htam9nAGM7qAP+H/Cil+1PW5cJIYQQQgghxKjiqGsmLiLItDNQNgidMNxD6rfugjq71rqm80ZrW+DgDUkIIYQQQgghBkd5XXN7j7qwOLDZh3tI/dZdUBeolArvvFEpFQkEDd6QhBBCCCGEEGJwlNU2ERtuzdSNgdRL6D6oexh4VimV4d5g/fy0dZkQQgghhBBCjBpNrU5qGlvb19SNgXYG0H31y/uVUrXAh0qpCGtzLXC31vqBIRmdEEIIIYQQQgyQcqvxeFyElX6Zumh4BzRAuutTh9b6H8A/rKBOeVtjJ4QQQgghhBCjgaPWCurC3TN1YyP9stugDkAp9UOPn90/VgFbtdY7BmdYQgghhBBCCDGwymqbAIgPBZqqxkz6ZXdr6tyWAd8C0qyvbwKrgYeUUj8avKEJIYQQQgghxMBxp18m2mvNhvEyUwfEAUu01rUASqm7gGeBU4GtwL2DNzwhhBBCCCGEGBju9MsJuspsGCNBnT8zdZOBZo/fW4B0rXUD0DQooxJCCCGEEEKIAVZW10RQgI2wlgqzYYwEdf7M1P0X2KiUesn6/ULgKauH3b5BG5kQQgghhBBCDCBHbTPx4UGo+lKzYYysqesxqNNa/1Ip9TqwClDAt7TWW6yLrx7MwQkhhBBCCCHEQHHUNrW3M4AxM1PnT/olQChQrbX+I5CjlMocvCEJIYQQQgghxMBz1DUTFxFkgjp7MARF9HyjUaDHoM4qjHIrcLu1KRB4YjAHJYQQQgghhBADzVHbTKxnj7r2lm2jmj8zdZ8HLgLqALTWBUDkYA5KCCGEEEIIIQaS1hpHXRPx7vTLMbKeDvwL6pq11hrQAFaBFCGEEEIIIYQYNeqbnTS2uIgLt9Ivx8h6OvAvqFurlPonEKOU+gbwLvDQ4A5LiGGway38YR78LMZ837V2uEckhBBCCCEGiLtHnSmUUjamgjp/ql/er5Q6G6gGZgJ3aq3fGfSRCTGUdq2FV26Elgbze1Wu+R1gwRXDNy4hhBBCCDEgyupMi+248MBxmX6J1vodrfUtWuub/Q3olFIhSqlNSqmdSqm9Sqmfd7r8ZqWUVkqNnWdTjF7v/aI9oHNraTDbhRBCCCHEqFduzdQlBrVCa+P4mKlTStVgraPzRmsd1cO+m4AztNa1SqlA4GOl1Bta641KqUnA2cDxvgxaiAFXlde77UIIIYQYUC9uz+e+tw5SUNlAakwot6yZySWL04Z7WGIMcbhn6mzVZsN4COq01pEASqlfAEXA45jm41fjR/VLq7hKrfVroPXlDhL/APwIeKmvAxdiQEVPNCmX3rYLIYQQYlC9uD2f25/fTUOLE4D8ygZuf343gAR2YsCUWTN1E3Sl2TCGgjp/0i/XaK3/rrWu0VpXa60fAC71Z+dKKbtSagdQAryjtf5MKXURkK+13tnDbb+plNqilNpSWlrqz90J0Xcrvt11W2AonHnn0I9FCCGEGGfue+tgW0Dn1tDi5L63Dg7TiMRY5KhtJiI4gOCmcrNhnK2pcyqlrrYCNJtS6mrA2eOtAK21U2u9CJgILFdKLQB+AvR4pKy1flBrvUxrvSwhYexE0WKEqsoDFIREm98jk+HCP0uRFCGEEGIIFFQ29Gq7EH3hqGsiLsJqZwDjbqbuKuAKoNj6utza5jetdSWwDrgYyAR2KqWyMcHeNqVUcm/2J8SAaqyGbY/D/MvhqmfMtgv/IgGdEEIIMURSY0J7tV2IvnDUNrf3qIPxNVOntc7WWl+stY7XWidorS/RWmf3dDulVIJSKsb6ORQ4C9iutU7UWmdorTOAPGCJ1rqoX49CiP7Y/gQ015gUzNgpZlv5seEdkxBCCDGO3LJmJqGB9g7bQgPt3LJm5jCNSIxFjrrm9h51wdEQEDzcQxowPoM6pdRPlVKx3Vx+hlLqgm72nQJ8oJTaBWzGrKl7te9DFWIQuJzw2T9g0gpIW2LO2ARFQEXWcI9MCCGEGDcuWZzGXRfObvtdKfj1JfOkSIoYUI7apvaZujE0SwfdNx/fDbyilGoEtgGlQAgwHVgEvAv8xteNtda7gMXd3bk1WyfE8Dn4BlTmwDm/NL8rBbGZMlMnhBBCDLEl6WYu4cxZibx3oIQZyT0WWxfCby6Xpryu2aypKyodU+vpoPuWBi8BLymlpgMrMTNv1cATwDe11rJyVYx+G/8O0ZNh5vnt2yZkQsn+4RuTEEIIMQ7lW0VRLl06kfcOlPDJkTLmpUUP86jGl7HcK7C6sYVWlyYu3Eq/dC+5GSO6m6kDQGt9GDg8BGMRYmgV7ICcT+CcX4Hd418hdoqZwXM5wWb3eXMhhBBCDJzCykYAFk6KYVpiBBuOOrjhtKnDPKrxY6z3CnT3qGurfjnpxGEe0cDyp/qlEGPTZ/8w6+eWXNdxe2wmuFqsNgdCCCGEGAqFVQ3YFCRFBnPy1Dg2ZZXT3Ooa7mGNG2O9V6CjtgmA+LAAqHeMufRLCerE+FRTBLufhUVXt/emc3NPx0uxFCGEEGLIFFQ2khgZQoDdxslT42locbIzr3K4hzVujPVegeV1ZqYuMbAetEuCOiHGhM0Pg6sVTryh62UTMs13KZYihBBCDJnCqgZSY0IAWDElFqXgkyNlwzyq8SMlOsTr9rHSK7DMCupiqTIbxlj1yx6DOqXUDKXUe0qpPdbvC5RSPx38oQkxSFoaYcvDMPM8iPOSqx+VBvZgKJeZOiGEEGKoFFQ2kGIFEDFhQcxLjWbDUccwj2r8OG1m15mrsdQr0J1+GeOqNhvG4UzdQ8DtQAu0tSr44mAOSohBtXutyaVe8W3vl9tsMCFDZuqEEEKIIaK1prCqkVSP2aKTp8ax/XgF9c2twziy8WNvQTVJkcFEBJvicanRIfz2C/PHRJEUAEdtMxPCArE3WLO/Yyyo67H6JRCmtd6klPLcJv9dYnTSGjY+AEnzIeOUDhd5lvF9PCyS+c2HkULKY8CutfDeL0zhm+iJcOadsOCK4R6VEGIUG8tl34dLeV0za1zr+b/dL8DmIoieyMVzbuKfzmS2ZFdw6oyxdQA+0uzMrWRXXhW/uHgu0aGB/N/TO3jkKycwKzlquIc2YBx1TcRFBENdttkwxoI6f2bqypRSUwENoJS6DCgc1FGJkW3XWvjDPPhZjPm+a+1wj8h/WR9CyT4zS+dxosJdxje/sgENHGxOILAqmxe3SQXMUW3XWnjlRqjKBbT5/sqNo+s1K8aNF7fns/Lu98m87TVW3v0+L27PH+4hCS86f164y77L36t/6rc+xd2B/yKisRD3+/XszT/h8wGf8MlRWVc32B77NIfwIDufX5zGjCTT9P1Qce2Qj2Mw3wfLapuJC7faGSgbhE4YsH2PBP4Edd8F/gnMUkrlAz8AvjWYgxIj2Gg/SP707+bMzLxLO2zuXMY3RycSppp45K2NQz1CMZDe+wW0dKra1dJgtgsxgkigMHqM9bLvwyX+s3sIU80dtqnWBn4c9Ayfyrq6QVVR18wruwr4/JI0IkMCmZIQjt2mOFRUM6TjGOz3wfK6ZuIjgk1QFxZvltuMId0+GqWUHfi21vosIAGYpbVepbXOGZLRiZFnNB8klx2Bw2/BCV+HwI4VnjqX683RyQAEV8tLfVTz1WtQehCKEea+tw5ytvNDPg66kWPBV/Fx0I2c7fxw3AUKo2G2cqyXfR8uIfXek8DiXaXsya+iqr5liEc0fqzdkktzq4trV2QAEBxgJz0ujEPFQxvUDfYJE0dtE7HumboxlnoJPQR1WmsnsNT6uU5rPbR/XTHyjOaD5M/+AfYgWPbVLhd1LteboxMBWBReMSRDE4PEV2pF9MShHYcQPVhW/Q53B/6LibYybAom2sq4O/BfLKt+Z7iHNmRGy2ylr/LuY6Xs+3CpDkryur05PBWXho1ZMls3GFwuzROf5bA8M5aZyZFt22ckRnK4ZGjTLwfzhEmr00VFfQtxEUFQVwbhcf3e50jjz7zjdqXUy0qpa5VSX3B/DfrIxMjk62B4pB8kN1TAjidh/uUQkdjl4pvPnoFnKaB8nUCrtnHZFDkzOGodeM383VWnt7nAUFMsRYgR5PagZ7qknoWpZm4PemaYRjT0Rkta4y1rZhIaaO+wbSyVfR8uL8R+jUaCO24MDMV+9l2EBtolBXOQfHi4lNzyBq5dkd5h+4zkSHIcdTR2+p8cTJEh3us3DsQJk/J68/4a506/HG8zdZZYwAGcAVxofV0wmIMSI9iZd5qDYk8j+SDZXdTlngxoqffelw6IiQhCA4F2E9rFRUfQFJ7KzKDSoRtrb4zmYjVD4egH8Mz1kLYULvxT+4xdZApc+GepfilGnCS8F4LwtX0sGi1pjZcsTuOXF89t+z0syD6myr4Pl1f1Kh6K+n77BnsgXPhnAhZdyQmZsdKEfJA8/mkOCZHBrJmb3GH7jKQIXBqODNFs3eOfZlPd2Ipdddw+UCdMHLUmqIsPd8/UjcOgTmv9FS9fXfPXxPiw4Ao4wyOAC40duQfJHYq6WNbf5zUAenRDNgmRwfzlS0sA+NtVSwhPnj4yG5CP9mI1g+34Rnj6KoifAVc/A0uug6us2Y7zfzcyX6ti3FM+sh18bR+LRlNa49y09oY3CyfGSEA3AAqrGqlIXG5+iUwFlxNmrAFMv7rDJbWU1DQO4wjHntzyej44WMKXTphEUEDHkMBdAfNwyeCvvHpmSy53vLSXs2Yncu9lC4iyZuxSBrBPXltQFwo0VUF4fL/3OdL0GNQppf6tlHqk89dQDE6MUFGp7T+f/L2Re5DsZ1GXrLI61h0s5arlk5meFAFAjqMOYqeMzAbko7lYzWAr2AFPXm5eo9e+AGGxZnvSXJOGWbhrWIcnhE9n3kmLCuq4bSRnQQyCW9bMJMDW8TT9SE1r3F9YDcC8tChyK+qHeTSjn9OlKapuZFpwpdmw4ArQLsj5FICVU80BuKRgDqwnPsvBphRfOnFyl8sy4sIJtKtBb2vwys4Cbn1uF6dMj+evVy3h0qWT+NOXFgPwpy8uHpCA7sXt+Xz/qW0A/Pzp9WbjeJypA14FXrO+3gOigKFvXCFGjsIdYAuEoAioKRru0fjmZ1GXxz/NIcCmuPrEyUycEIpNQbajHmIzobES6ssHf6y9MZqL1QymkgPwxBcgJBque6nj2smgMIibBkW7h298QnRnwRW8b1/Z9mudChu5WRCD5JLFaXwnbltbBdCNIf/HYyfkjMhZMLX7GT4JvpFXHBfyv/pv4Nzxv+Ee0qhWUtOI06WZbLc+b+d+HuzBkGUOwOekRhEVEsCGIxLUDZTGFidrN+dy9uwkUqK7zoYHBdjIjA8f1LYG7+wr5qb/7WBZeiz/vHYpIdZa1ZnWLOHBAai+6S7AVGFVT9V1ZlnNxuKx1c4AwPuKRA9a6+c8f1dKPQW8O2gjEiNfwXZImgOtTVAzgvvQR0/smHrpud1S19TKM1ty+dz8FBKjTJuD1JhQM1M3aYq5UkVW+4zPSODH4xp3yrPg8UvAFmACOm/PRfJ8yN085EMb93atNbPIVXnm73LmneMqUPFXdWMLjU1N1IYm0qxtbHLO4Nzx9jztWst3av5MiK0JgGRKSd59F2RMGFmvmV1r+Vz2bwlWZpxpqgzXq/8HNjWyxjmKFFSatMpkZQVtsVNg8omQbYI6u02xYkqcNCEfQK/tKqSivoVrT0r3eZ3pSZHsyqsclPtff6iU7z65jblp0Tx8/TLCgtpDkpToECKDAwYkoOxcgClemVn2R3bUsuJz/d79iNKXMHU60HWeVowPWpugLnUxRCRBTfFwj8i3U37YdVundKbnt+dT09TKl0/OaNuWERdOjqMeJmSaDSNtXd2Zd5rWDJ7GWZpWB9UF8NjF0NoI177YpRiOu+/V3dsDoeo4r322b3jGOR7J+k+/7cytZIk6TEPyEurC0ohvLaKpdeiqzo0I7/2CEJo6bhuBqeX6vV8QrDuO09Y68sY5mhRWmSUFsa0lEBwNIVGQcSoU7WnLllk5LZ68igZyyyXddSA8vjGHKQnhnDzVd2n/GYmR5JY3UN/cOqD3/dkxB998fAtTEsJ59CsnEBkS2OFypRQzkiMHZKauc6GlOKoAOFgT4u3qo5o/a+pqlFLV7i/gFeDWwR+aGJEqsqCxygR1kSkjO/2yeB+gICLZfI+e1CGdSWvNYxuymZ8WzZLJMW03S48LMzN1EzLMhpEW1C24AmZ4nF6KSBx3aVodqn/+cb55HV7znJlB9uDZ92qfNmcj//fqGyOu79WYJes//Xbw0GEm2UqJnLYSZ9RkJqkS8itGVtXHwaZHS2r5aBnnKFJozdRFNhVDtJVum3kKoCH7Y4C24EOqYPbf7rwqduRWcu2KdJRSPq83M9nUGehvBUz3ydXM217jhF+9y7UPf0ZaTChPfP1EYsKCvN5mZnIkh4pr0Fr36747F1qKs2bqgqK890UczfypfhmptY7y+JrROSVTjCMF28331MUQmWzSL/v5DzcoSvbDlkfghK/DzQfhZ5Vw054Ogc+Gow4Ol9Ty5ZMzOrypZcSFU1HfQlVroAlcR2KxlKBQCAwzP59yy/gL6Dxnf1zWGUTH0S5X9Uy72OfKAGCaK2vE9b0as+Tg128NWaYgRMiUkwmIzyBJVZJXMsLW8w4yZ6SPtXMjLLW8KSzF+wUjbJyjSUFVA+FBdgJqC9qfx9Ql5nMu+yMApiVGkBAZzIY+FEvxDCpW3v3+uD+x9/jGbEID7Vy6tPvX7HT32rZ+pEF6nlzVQGltEy1OzbUnpRMfEezzdjOTIqmsb6Gkpsnndfxxy5qZhAS2hztxqppGHch31yzs135HIn9m6t7zZ5sYJwq2m8XLCbNNUOdqGXmFRLSGN2+H4Eg4/cc+r/afDdnEhgdxwYKOH9DpcSZYyim3KmBWjLCZOjCBZuoSkwJbsG24RzO0vM3+OJu8zv54pl2UEU2xjmGOLWfE9b0as3wd5MrBbwculyaqbLupfpm8gMikaQBUFI7AE0qDKHfJzbTojk29R2Jq+Ufp36Fed5xdaFbBI26co0lBZQMpMaGoqjyIsoL7gCCYfBJkmaBOKcXJU+PYcNTRq9mbzkFFfmUDtz+/e9wGdpX1zby0o4BLFqcR1SntsbP02DCC7DYO92OmrvOaNgANPLS++2OrGQMQUIIpwPT1VZltv08OqsMVFs8lS8be55DPoE4pFaKUigXilVITlFKx1lcGkOrrdmKMK9gByfPMm22k1aiydoSlYB56E459AKtv91ngJLe8nvf2F/Ol5ZPaqi25pceFA1YFzAmZI3OmznEU4qaYwC5/nAV1fs7+lNY0YetUHn2fK525KntE9r3qlcFqPj/A+9089fs0djr4bdBBbJ76fR+3GJ+OldUxz3WAypi5EBBEZLJZF9pY0nX2uS9GyyzFvrhz2eyaAZiDPkdA0ohMLX/FtYp7A75j2qQA9SqUv0feOOLGOZoUVjWSHgk0lHc86ZN5CpTuh9oSwLQ2KKtt6lWQ4S2oaGhxjvqMjb7+Xz+7NY+mVhfXrvBRIMXjcyDgzwv4atRmDvVjbZuvk6g9nVydYbWY6s99u7lTPDf/5Cw+NyWAsAnJPdxidOpupu4GYCswy/ru/noJ+NvgD02MOC6XCepSTf8QIq0ZrpFUAbO1Gd76iWk8fcLXfF7tiY05KKW4xsub2uRYa6aurM60Nagthua6QRtyrzVWQX0ZxE6FtCVQdggaq4d7VEMnysc5pU5VTb/26GYUmmCPhqr7dDrTVD63npXpbQ+jw2AVHxmE/f5g33T+6zwdMBPordrGrS1f5wf7pvdvrGPMjqxi5qksAtJN42VbbAYAroqcfu97NM1SFFQ20IKZOaiyxfKVmEdGZKC0v7Ca2tQVpo8acDRiGU81rhjmUY1uBZWNzAqzDt49g7qMU813KwXzpD6sq+trUDGS9fX/2uXSPLExh2XpE5iTGtX1Cl4+B37Y+Fcy8l/r81h9nUTt6eRqXEQw8RHB/Z6pA9hXUE1SVDAJkcFQVzome9RBN0Gd1vpPWutM4Gat9RStdab1tVBr/dchHKMYKcqPQnONR1BnnekYScVSNj1oxrnmN2D3nlbQ0Ozk6c25rJnrvTdLaJCd5KgQq1ed1dZgJBVLcc8cxk4xQR3a9A4cL5Lmdd3mkaLV6nTxvf9uY09+Ff+4Zhn3XLqA+Ahzli43cBqByslFaaM4CB6s4iODsF9z0KRo0EH8uvVqApSLbXrmqD6YGgylhz4jWLUSPWOV2RCRRAuBBNV4aV3SS6NplqKgqoGJNrNeKsZVTknZCEvtx/T2OlZWx8nhBWZD6ASSXMUUVzfR2DLOqpUOkKZWJ2W1TUwJrjAbojzWVqYshKDIthTMSbFhTI4N83tdXVOrk0C790NdDfzs5b2UVDf2Z/jDoq//1x8dKSPbUe+7jYGXz4Eg3cTXm5+gprGlT2O9Zc1MggI6/g1CA+3csmZmj7edmRwxIDN1ewqqmJsabX6pKxt/QZ2b1vovSql5SqkrlFLXub+GYnBihPEskgJWVUlGzkxdXRl8eC9MOxumn+3zai/tyKeqoYUvn5Th8zptFTBj3W0NRlAKpmdQl7rE/Jy/dfjGM5RKDsDR92DySlPNtFNVU601P3lhDx8cLOWXl8zjrDlJXLI4jfdvXg3AvGXWQfNobkI+GMVHnK3eex/2c7+pMaEssx1kh2saH7rMovSTbHtHf/rrALPnm/6Jtkknmg02G5XBKUQ19n82bTTNUhRWNJCiys1aYSC6KZ+q+r4dSA6Ww8W1OF2aufbjZsP0NcQ0mxObI/E5HQ2Kq0whjEl2K6jznKmzB0DGyraZOjBVMDcec9DqdHW7X601d7y4h2ani0B7x1T84AAbKzJjeXxjDqfc+wG/eGUfJTWNoyZV2ddrLb+ywetl7sf15Uc2YVPQ0urjufPxfp+qHH1eV3fJ4jTOmpUIgALSYkL57Rfmc8liH4WRPMxIiuRQcS0uV98L8jU0OzlSUsu81CiTMlJXCuHxfd7fSNZj83Gl1F3AamAO8DpwHvAx8NigjkyMPAXbISAU4q2zK4EhEBIzcnrVvf8raKkzs3Q+aK35z4ZsZiVHsjzTd0PxjLhw3jtQAhOsEvkjqVhKW1CXCUHhpvXCeFhXpzW8fjMERcCVj3l9U/7ju4f535Zcvn/GNK4+sf1MZFRIIJNiQ9lYEck1geGjO6jz1Xw+NMY8R92Up/aqvhye/Wr399dHt505kTmv5vB310Uc1mmU6ihOse9j5Zof9HmfY01NYwuT6vZQFZZKdGR7ie2G8ImkNBRQ1dBCdGj3xQy6kxoTytLqd/hRwFpSVRkFOp57W69ga5TvE1/DpbqyjDAaIONzsOc50lUxOeV1LAiLGe6htdlfaGb505qOmvfe5HkE7XqaKOrIrWhgSkLE8A5wFCqwetQluayUys4p9hmnmLXy1QUQlcrJ0+J5enMuewuqWTgpxud+/7Mhm7Vb8vj+GdOYmhDBfW8dpKCygdSYUG5ZM5NLFqeR46jjL+8f4dFPs3ns0yxA0WoFEO6URsCvAGQopcaEku8jsDv57veZkRTBaTMSOG1GIkVVDdzx0t62mT2Xhjte2kuA3db1cUWneQ3sCnQch4trWDJ5Qp/GW93YyqzkSN78wam9ut3MpEgaWpzkVTQw2Spi11sHiqpxaZiTGg1NNaawmjVTp7WmrqWOquYqKpsqqWqqorqpmqqmKlIiUjh1Yu/GO9x6DOqAy4CFwHat9VeUUknAvwZ3WGJEKtgOKQvMmTO3yJSRMVNXtAe2PQrLb4CEGT6vtimrnANFNdz9hfnd9mZJjw+jrLaJWlsEEaGxI2umznHMPO9BpqALaUshd1P/97trrUm9qMozB/Jn3jmy1rPsftacrT3/914Duqc3HedP7x3msqUT+eHZXV8Dc1Oi2VNYDUlzR3dQd+adZs2DZ4qMskFDBTz/TbjgDxDs54FlyX546ktQlUf25MtIynmZUNXcdnGDDmLP1O9zQh+HemFcASgXW10zAcWnrrmcHXaA0EVSa8tt5/FKltoO0ZhyKtGeF8SkM8mxg9zyeqLTon3dvEd/nHOYuVv/RZj1d52oyrgn8F/smZMBnNGfoQ84XW0dTGasgj3PMUmVkOOoZ8HEmGEdl6d9hdWEBdkJL98HyfMhZjIAE1WpNMXuI/fM0oTWEjNLG9CpzH3mKeZ71kew8EpOmmKtqzta5jOo+/hwGb96bT9nz0niprNmYLMpr4FZelw491++kO+dPo3z/vSRz5TGkRbU3XzODH74zM4OHaVCA23ceOZ0Amw21h0q4dENOTz0URYKk2rqyefjmvsF2PDnDpt0YCh/aPoi0UV9m6lrcbrYmlPBFct6f4JwZrKpgHmgqLrboM7pclLbUktVU5X5aq5q+/mjo8cJTsrmzeIPeSW3lKqUJKqOP0d17rNUNVXh1N7Tps9OP3tMBnUNWmuXUqpVKRUFlABTerqRUioEWA8EW/fzrNb6LqXUfcCFQDNwFPiK1rqyrw9ADBGXEwp3wpJOmbeRycO/pk5rePM2M2u4+tZur/rop9lEhwZy8aLu36AzrAqYOY465sZOGXlr6mKntv+eugT2PGeqg0Uk9m2f7sXR7kDBXSQDRkZg11gFb//EpP4uvb7Lxe8fKOYnL+7h1BkJ/NZHwD43NYo39xbRPHMeQXuf7dus1kjg/nu89F1wNpv00zN+ChU5sO63Zn3l5Y92acTexf5X4YUbzMmBr7zO1U/WsrQlkVsD/keqclBHCD9u+Spb903nk4v6ONbjG3GhKI1ZwFOXruDFRz7goqZPTXGfhJ7XU4wHhw/vY5WqpMG9ns4SFJ9J9LF6NhcXMa8fQd0JR/8CHoE6QKhqNtu5oc/7HWjNrS5CG4ogEEiajw6JJr21hOMjLFDaX1jNwsQAVNkxWHBlW1CXYXeQWzGyxjpaFFaZNW3hjYUd19O5Jc03n+/Z62HhlSREBjMzKZJPjzr4zuppXa6eXVbHd/+7jWkJEfzhykVdqiB7kxEf7nNN5EhMq40KDURriAkNpKqhpcPsI8A3Tp1CXVMrG485+NqjW7zuw+vjKtkPwVHmmK+lDqInoc68k4MfpjChpG9r23bnV9HQ4uREKxjvTqurlerm6raArMRZQUDUNp47cojDLUFUNlZS1dw+m+YO3mqaa9BdQtd2QTEh7K+MJZoAorWL5IhJRMfNIDo4mujgaKKCoogJjmn73b1ttPEnqNuilIoBHsJUv6wF/JkWaALO0FrXKqUCgY+VUm8A7wC3a61blVL3ALcD3R+Ji+FXdgha6tvX07lFJoPjyPCMye3Aq2YG53P3Q6jv1ICCygbe2lvM11dlEhpk93k98OhV56hnbmwmHP9sQIfcL+VHyY47lavvfp+CygbOi4K/g0nBnHlu3/bZXZGMkRDUffBbE7R+6Wmwdfzb7cyt5LtPbmd2SiQPXL3E56L4uWnmDTo/ZBqZTdVQkd2+ZnKUedG5kpOckXzknMsfmm7iFtdMLln9RZi8Ap77Ojx0Bpx/Pyy+puuNXS5Yfx+s+405IfDFJyEqlYLK18hnFS83r+I/gfeQpsp42bUK1Y8DGn18I4dJZ1bGRJakx3CHzSpyk7VegjpLk9V0PDSzY/XEyBRzsFpVeATox3M1ShrAF1c3koqVfhedhpqQybSmUl50jJzKw1pr9hdW8+1p5VCmrZk6k+Y9N6yCfRUj7+B/NCiobCAmLBB7TQEkzOp6BZvNzN5mta+rO2lqHE9vPk5Tq5PggPbPhJrGFr7+2BaUgoeuW0ZEsD+HuYavlMaRtgbY5dLc99ZBMuLCeOeHp/n8zAsPDuDM2Umk+fu4yo7AkXdg9Y8hPA5e+3/w1TcheiIz9u/gk6P+Vxxtcba0BVwv7tuHPeIA5aqBR/fWmRRHj8DNc1attqXrbGBoGmyohE8rFVHBUUQHWYFXSDSToyabgCwkpn27FZC5f/7yv3YTFRLMk5euMCcz/3c1XHyzKcIzxnT7alfmdPdvrZm0fyil3gSitNa7etqxNp0h3X+dQOtLa63f9rjaRkx6pxjpOhdJcXPP1Llc5o13qLU2wds/hcQ5sPQr3V71yc9y0Fp7bWPQWXrbTJ1VAXPPc+a+OqeFDLXGaqgr5bmaYPKbzZv0B9UpOIMVh7etY1Zfg7qRfOBXtBs2/ROWfcWq9mkWfbvXRygF0aGBPHL9CYR38wHurny1p3Uyme79jsKg7sXt+fz0+R3ssFVQqGM7rfs4Db71MTz3NTOTl/0JpJ8MH95j/pZRqWYtQeEOWPgluOCPEBiC1pqI4ABqmloB2OCaw48DnyKBCoJi+pgq6WxF527is9aTWZYeS3CAnZSM2RTmJZJybB0s/8aAPB+jmdaa6LLtNNlCCU6c2+Gy8CSTENNc2s8sAV9rMEdYA/iCygZSlAOXCsAWkQSxmWSWfGbeg0eIgqpGqhtbWRJkPZ/J882JxKBIpgWV8/YIm1UcLQqrGkmNCjHvUdPO8n6lzFPNCdyKHJiQzspp8fxnQzbbj1eywpoBcro0P3h6B1lldTz+teW9XoN1y5qZ3P787g4pmP5WaRxKL+8s4EBRDX/+0mKfAZ0nvx/XpgfBFmiyYayT9Y2Fu6gKCCQu1kHZwf28fKiVFuo6BGLeArSG1o5BZNgkuMeq52ZTtrYALCo4iriQOKZGT237PTrIfI8JNoHa3a/lUFJp580bz8Fu6/6EfGctThcHC+u5fqWVxVRvBaZjtPplt0Gd1lorpV4Ellq/Z/dm50opO2Z2bxrwN6115+mOrwL/83HbbwLfBJg8eXJv7lYMhoLtpkBF3LQOB9Q3RtRwk6vFNAwdjmpCGx8wMy7XvtBxrV8njS1OntqUy5mzk5gU2/MbfURwAPERwaYC5rQpph9R5XGIH+b+WtbavsOt7WmWDYRwSE+k8vDGvu93pB74uVzw2s3mwOmMO4D2/jzuDyitob7ZyYYjjm7XPSRGBhMXHsSGmmguVDYT1M3pa17h8LnvrYNEtDgICHFRqM3BTIf1EZFJcN1LJpD78B7Y+RRtKyqq883X/CvgkgdAKVqcLm57bjc1Ta3YbQqnS7PBZQKM04IOsGrN6X0baPEebC11bHHN5LvpZgZ95bR41mfN4fKsj7G5nF1mXcebtqbjcQtI6vz+Zc0AUdm/XnV1p/yYoFe+R6BqP6BzBYRis1qAjBQFVabypTMiGZvNDhMySHS+TJ6j/+XMB8r+AlMkZYozC0KizfujUjAhnUn1peSOgZk6z8/3zil9g6WgsoGZUS1QWe89/RJMsRQwWTkT0lmeGYtNwYYjZW1B3e/ePsh7B0r45cVzOXlq749H3I/zvrcOkl/ZQIBN+V2lcag0t7r43TsHmZMSxQXzU/y6zcWLUmlyNvDHD3ZQUltOfLSTCxfH0Bz2Cf/abQVk9WVUHX+JqikzqHr/W1Q3VlKVPpGmz24F68g9LB1+8mn7fgNsAcQEx7SlLqZEpDAraFZ7CmNQNBGBkdz6zFFOmzaZ29csJSo4iojACGzK/0mABcmBPHToGE6Xwo8YtoMjJbU0O13Mdffkqyu1Hsw4rX4JbFRKnaC13tzbnWutncAiK33zBaXUPK31HgCl1E+AVuBJH7d9EHgQYNmyZX2vZSoGRsF2SFnIizuLOhxQH6yPgCB4f/NOzlh95tCMxbOgB0DyApja/YL/V3cVUl7XzPUnZ/h9NxlxYWQ76uAEj7YGIySoy9bJHTbvck3lbOeWvq8TO/PO9jVabh6934bNzqcgdyNc9FcIM9VKvfXnaWp19biYXSnFnNQodhY1meb0o7RYSkFlA4uU6d9VqGM7bG9js8PpP4Ytj7R/iHk6/ikoRU1jC995chsfHS7jprNmMDk2lN+8cYB9NRlUE873MgrI6OsBTa45EtgfNIfpiaZwy6pp8Tz01hyubFoHRbu6zvyPMzuP5nOROk51upeTC6ETaLCFE1rXv9nyAwnnEqQnMk/lonBRpcPYPecOVo2EtGoPBZWNLFNl2NwnkiZkYseJqimgscVJSODwnwDYZ1W+jK05aD533O+1MZNJqj1EeV0zdU2t3WYMjGSdT5gNVfXHgsoGLkyyZjl9nUhMnG0OxLM+gsXXEB0ayPy0aDYcdfBDTKuiv687ypeWT/YrG8eXSxanccniNB5Yd5R73jzAKdNHzsG/1prHNu4nryafn52ZycaiT9vWllU2VbbNklU3VXeYSatqrqLV1QqJEJYI9cD/jgNWV44QewhRyk60HaIjU0mPmkhU/Hxidq4lKnYK0Uuuo7U5hJ8+f4zvnraAq5bNJiooitCA0G4LzgHsyquktlJzzrRFTIzs22toZlIkrS5NtqOOGUmRvbrtnvwqgI496kKiISCoT2MZ6fx55zkd+JZSKhuow7SZ0FrrBf7eida6Uim1DjgX2KOU+jJwAXCmlaYpRjJnizkAPuHrXQ6oS3QMAK9+sn1ogrrOBT3ArPfbtdbr2i9z1vEA+ZWNBNhUr5qMTo4L49OjDoi1XuojoViKFdTl6I4FUXbqqVyp1pmz+hMyer/fBVfAlv/A8Q20zeqs+M7wrqdrqIB37oSJy2HR1W2b+9N3a25qNA9/fAznonnYc/sxszmMUmNCSak2jXfdM3Vg/mp/++AIN5w6hQD36cw6H2sgqvIorm7kK//ezKHiGu69bAFXLJsEwMWL0ljyq3fICV/C/GrvC+z9cvxTSlQ8aZOntxUqmJMSxd7gRWawWevHfVDnOLyRAOUiZuaqrhcqRXVIKjG1hbhc2q9iD94cLanjBBqpn/Y5wqqPcagskMfrluPlHodVYVUDabZy7BPmmw1WavRkVUxueT3Te3kwNxj2F1aTGRuMvWSfSQd3i0kn+ug6QJNX0dBWsW+06a6h9WAFdXVNrVQ3tpIR6KVHnSelTBXM7I/aTl7GRwbz3v4SMm97DQ1MiQ/n5xfN7THQ8McJGSa7YEtOBWvmJvdw7d5xupzUNNd0Cbx8BWTuwK26uRqndhIxDe7fA+zpuN+wgLAOs2RTY6a2/exZAKTz2rMQWxD87QQImQgXP9u+w8PboKYeZlyOy6X55dq3qK5KJDnc/+fjs2PmBOQKP4qktOlUiXvZkluAeA4W1fQ6qNtbYKrVZsZb1cLrSsds6iX4F9Sd15cdK6USgBYroAsFzgLuUUqdiymMcprWWhLQR4PSA9DaCKmLKfig44FzCeaNL6B+AHrVdVdSX2uT/vjm7V0LerQ2ei3o0fmsY6tL8+MX9qCU99LGnWXEhfP8tnwagyYQEhQxMtoalB+jITiB1pZQcLafDzlosyqA5W/tW1CnNZQfhbmXwMV/h/unm8Ikw+m9X5q03vNf6LBeMyU6hIKqrsG5P4vZ56ZG0eLUlEbMJLn6WdOjLcx3v8KR6JY1MznwwgsAFFgzdSGBNmYlRXLfWwd5d38xv79ikfkQ85FW2xKRyhf+voHK+mYevv4ETpvR/iFnsylOmhLHO9kzmN/6kUlv7u1rSmtcOZ/yaesMlqW3Fy+y2RQzpk0j68hEMrLWo1b+X68f/1gS0NZ03HvTiKaISaTVHqSkponk6JA+3UdWsYNLVQkqZTYqfjKLSv/F1qOFtDpd7cH/CFBUUU8S5e3pdxNMUJeuislxjJyg7rS4GshtgKR57RfETCagtZ4Yasktrx+1Qd1wNKovtHrUTbSZg/9uU/4zToG9L0D5MV48HsJHh8xJK/cnYUFVA6/vLhyQAHReWjRBdhtbsst9BnUtrpa2IKxzNUZvQZm/lRojAiPaCn3EBMeQGp5KdHA0hwudbDjcwHdPnc/C1NQugVqgvY/9LA+/a9bQfaFTt7LE2bDjKdDmpNL0pEgOFvUuHfqzLAcZcWEkRfn5/uWlEnfax7dyScBXOVTctdJpT/YWVDE7JQq7+6TYeA/qtNY5SqlVwHSt9b+tYM2fJkgpwKPWujobsFZr/apS6gimzcE71tmUjVrrb/X9IYhB51EkJTUmp0MVJfdM3bTQvvUvaeOtpP5L34GdT5sCJcW7TVl7X7wU9OjvWUd3BczjFQ3MiM0cGQ3Iy48RmjyDlTqOddYHWmxYINed/zl4/WemAua8S3u/36LdUFsE086GoDCYfSHse9lUFA3s28Fkv+RvM6mDJ95geiN6WDw5hoLdHdto+LuY3Z1Xf4AMksGkAE5ZPUCDHhqXLE7jyB5F/ZFgqgknzVr3cvGiVF7eWcCdL+3lvD+t5/bzZnPtGXdie7XjzLbTHspPa79Ac6CL/91wktdy+SdPi+exvTP5YTAm3am3QV1lDrbaIja7zuNzHkEdWOvq9s8mPftjVGvzmE2D6UltUyuT6/bgiMggzseJBTUhnYnFH7OnvK7PQV1dwUHsSkPiLAiOJHDj35nRvI9d+av63Eh4MNRXFhFIa/tBfVQq2hbIZFVCzggoQFLX1EpOeT0nTiwwG5Lnt1/o2atuFLc1SI0JIb+y6wkzpUx640ULUwdkFsxTgXV/Ca5SU6QjvJu2PJlWz7Cs9dz3bjrNTleHixtbek7D96bZ2ey1EuPEjF28WfA+rk+j2tIbPQO0uhbflVkVXSs1Toqa1F4230elxsigSAJtXYOzqvoWTnnzfU7NiOUHK/raOdSHz/5h+gPOubjj9oRZ0Fxjjq9iJjEjMYIPDvp/stfp0mzKKue8ef6t/QO8VuJWLQ3cHriWnxZ9wf/9YKqE7iuo5rKlHicK6sogbqrvG41yPQZ1Sqm7gGWYmsr/xlSxfAJY2d3trAqZXXJrtNa9D7XF8CrYDsHRMCGTW9aEcNvzu2hsMW+mzQRSoSM5a6Krh530wFtJfWcLHH0fJp5gApXk+aa0fZ2XNxUvZ/f6e9bR3asuu6yOGRMyoWSfX7cbVI6jMOMcAipNOkF+RQOXL5vExUszYPuC9gC8t468Y75Ps1Jo519u1rMdfnvoiol4ztTaAyA40qwL81BU1cgHB0uZlxpFRX1LrxfzZ8SFExZkZ1N9KqvBBLOjLKgDmBZcxTHiuP7kTH52UXvVxIsXpbFiShw/enYXd728l7enTeYbM+9g1p4/kKjLKFJx3Nt4BXvizuaFr5zAxAneiwatmhbPHTqNhqBYQrPWw5JrezdAqwXIdmby407NgVdNi+c3rnl8ufUdM7OcflLv9j1G7DxewRLbYRpTfFesDU2cQujBZkoKj0NmL9KXPNgch8wP8TMgNhNtC2CVbQ8fHSobUUGdzd143P1ebrPDhHSmlJWyYQS0NThQVIPWMEtlgy2gY0uOCWYN19QAB3mjuFjK5+an8NBHHU9eBgfYSIwK5v+e3sGL2/P51efnkzaAJf7dM3XRLcWmOm93VbTjpkFkCmR/REFl5+BPg2qhsLaKg+UHfZbM99xe2VRJdXN1l0qNbYJAaxvv5LQHYAlhCUyLmdaln5lnsBYVHEVkUGSvioH05B/rj1LT1MrNA12J03HUamNwe9cTbO72EqUHTFCXFMkzW/Mor2smNrznk3EHi2qobmzlxCm9yIbxUXE7UZdxqLh3s4TZjjrqmp3t6+nAzNRNOrFX+xlN/Em//DwmONsGoLUuUEqNztwC0TcF2yF1IdhsXLI4jUMlNfz9g6MARIcGYItIZkpIP2fquiud//V32n8Oiui6ps5HQQ9fZx397TmT0bmtwcE3TEPO4arY11RjAtrYqeQcrWN6YgRRoYHsyK00l6cuge1P9G2MR94zQXOklWaSeZo5Y7p77dAEdZ1nap0tgIJDb3VIq733zQO0ujR/v3ppr8tVg0n/m50SxeZSIDJ11BZLcVbmUeCaQIqX2ZukqBD+85UTeGpTLne9vIdPnBnAn9outyn41coMnwEdmCJBqdGh7AlcyAlZ63tfgOf4p9SrMAKT5xAW1PFjZnJsGDmRi3E1KWxZHw5+UNddWnd/rttPWQd3sFLVUj/D9+q26FRzDrS26ChezpH2qLHFSUxdFjpAoeKnQ2AoauJyzi7Yz4+PlPJ/Zw1z4SdLQ7OTiKYSCKJD9UM1IZOplcd4agTM1O23iqSkNBwxB7ue7W2smbq54ZVsGQFj7QutNRuPlRMbHkhIoJ3Cysa2E2YXLkzlPxuyuf+tg5zz+w/50bmzuHZFep/XeXrKr2xEKQitL4ToiWitqW+t9x2QpUymsuxTYjIaaNS1KFsDyl6PsjegbKYly2WvdL2fAGUj2ukkprWVaBVASvxMZqWsaEtx9Cyn7w7UduY0890n9vGvb57UuzVhA6ykupF/f5LFxQtTmZ0ywA2x29oYeGkJlTjbfC89ANPPZnqSSdI7VFzj1/PxWZZZ++1P03HA1C1QNtBdm8DXBCdxvLye+ubWLp8pvuyxqtW6e9TickK9Y3ynXwLNVmsDDaCUCh/kMYmRpLUJivbASd9p2xQTalIDAmyKK5ZNIrp8EtQU9u9+/C2p7z7A8uPA68zZSTz2acdy4L3pORMdFkhMWKCpgDk5E1wt5j4n9L2yVr9Ya/pcE6aQU17P6bMSSY0JZe2WXJwujT1tiennVnoQkub4v9/GKji+ETzXN9kDzOzoloehoRJCYwb0oXThdaa2ucNayW3HK3h+ez7fPX1qnwI6t7mpUTy/LR89Yz5qlAZ1rqp8CvV0nyl5SimuOnEyf3rvEMXVTR1vq+FvHxzlqhN9v46VUpw8LZ7X983kBP0BlB2GhBl+j08f/5QtruksSu9aOU4pxcLpmezfk8mcYx+iVt/m9357bddaWl/6PgFO6+ROVa75Hbq+Z/TmugOgKcvMZoZN8R3UBsaZdWUtjuw+3Ue2o46pKp/6sDTCA62TWVNWM+34bzl6PI+axhYiQ/q4DmcAFVQ1kKbcjcc93vNjM0k7toHjZcM/U7e/sJrIkABCHPtgaqc2HyHREBLDtEAHL4zSmbp395ewO7+qQ9EkT19blck5c5L48Qu7uevlvby0I59z5iTx+MbjXjMmXNpFbUtte/GPzuvNrJ8/Lc4lKrOSz6sCKu2BVD++hFbd6nOcISqA6EBIDK0gryoEZ3M82hmGdoYRQDhfWDid06and0xvPPQuoa/fjPL8jCkugwuv7PZ/O2JKM7CfLdnlwxrU/fn9w7Q6NTed7f97sF+aamD7kzDvC6YVTmdhsebkbskBgLa1on4HdcfKmTgh1L+Z3bIj8OiF5mSJdppjT7fAULIW/j/0etOiYMHEGH8eHXsLqgi0K6YnWvNQDRWmPdU4D+rWKqX+CcQopb6B6S330OAOS4wYJftMMONRpW53fjVpMaEE2JU5YIxMMYFEf/SmpP6CK3o8yGpqdfLBwRJSooJRNtXhrGNv8u3T48LNTN0i0wiYiqxhD+rKgifS3FpMelwYYUF2/rMhmyMltcxMW2qul7+1d0HdsXXmTXT62R23L7gcPnsA9r8MS64bmMfgSw/Nz10uzc9f3ktSVDDfWd2/DO65qVE89mkOVdGziDnyLrQ0Ds+6wb5ythJQX0whJ7IiuvsPy5JOAZ2bPynIK6fF8fttM7krGMj60P+grqECVXqATa2XsyzDe3rfydPi+GjHHGbnvYVqrjfrOHurp1k1rWl4/aeEOjvO1gc4G2l96f8IcFfRQ6O1pnX38wR6uW79G3cSNsBBndaaGMc26m0RhMV387xaversVcf7dD9HSmqZpgpwxXncx5TVqHW/YTl72XjsNM6e4+Vgboi5G487A0Kxh3q8ZiZkEOqqo7ay2Jy4GoCZob7aX1jNiQkuVGlRxyIpbjGTmVhfSl55PVrrAV97NphcLs3v3zlEelwYX+j0+dihUqOzim+saWJqhoO12z9lz5Y6VHA9wan1lNsb+OmmBv54wIlT1VHdXI1L+16W4a7UWNMaQLA9lKmNDcQkTCF66hltKYxeKzXWFMGfFsLnfsiLgZ/zr6feuru7njRsafBaYM1TTFgQM5Ii2Jxd0avncyDlOOp4elMuX1w+ifS4AZ5T2fGUWTO3/Abf10mcBaX7AUiOCiEyOMCvNEitNZuyyzl9ZjdrJN1KDsBjF5mZtK+9Y4473/iRCcIiU+DsXxCZ8jlY/yEHi2r8D+ryq5mZHElQgLsatNXeZzh6Kg8Rfwql3K+UOhuoBmYAd2qt3+nhZmKs8CiS4rYnv4p5aVFU1LVQXN0IiclQW2waRXeXD9+dBVfAvpfgwKuA6nfq0+Of5pBb3sBjX13OqTP6flYmIy6MrTkVEGsdFJUfG741WA6T8nrMmQAUkxEX3pZ+tyO3gplLp0JwFBRs690aqMPvmDWTE5d33J66BGKnmoPnwQ7qepipfW5bHjvzqvjDlQv73QPKnV9/1J7JUu00H1ijqbR+bRFKm8bj3tIvPaXGhHYobOS5vScrp8Zzk06kJiSFyKz1sPwb/o0vdxMAW/RMrkn3vpbi5Knx3Oyay7dcr5qeee61nP7yWljpe6bceWAYFO+Fkn2ENjq83tzeWk/5jldxaVNE1qUhmQbTsKeTkIairhv7Kausjnmug1QmLCKsu/fMoDCq7bGE1/etV92x4mrOVoXYUy9s35i2BB0UwWrXXj4+XDoigrrCykZSlANXZCp2z2DIqoCZ4iqmsKqh25ThweRyaQ4U1XDr9EIopWORFLcJ6SRU76GmqZXqhlaiw4Z/BtRTd5Uat+Xlc8x1jKXTg/ne+//r0Pesptn7Abw9AeyAdoa0zZQ5W0Opqork0kXTvZbSbysI4lGp8YzfrePE+EZ+m3slnHAhLPl69w9kQgZET4as9Vxy5Tf8O0nbw0nD7izLiOWVHQXDdlLh9+8cIsCuuPGMAU6VdrlMZk/aMpi41Pf1EmbBjv+CdaJielIEh4p7Xm5zuKSW8rrmntfTFe2Bxy42S0auf80EkcnzzP/+w2fBBX+AmeeR7tIEB9j8XlentWZvQRXnzPGoXNoW1I3vmTqA3UAopnLs6MxXEn1TsB1CJ7SdMa5ubCGrrI5Ll6RxoKiGfQXVEJEMrlaTqxzRj3+WoHDzZn1T/15iVfUt/OX9I5wyPb5fAR2YmbpXdhbQHJZMkD14eNsalGdBRBJZ1coam1n3FBUSwI7cKq48YTKkLjKVI/2ltVlPN3U1L+4q7nrWc8EV5ixndYFZxD5YzrzTVDt1trRvs2ZqaxpbuOfNgyyeHMPFC/tfqnp6UgQBNsXWpkksBbOubjQFddWm+l6hju2xTPQta2Z2aOsB/qcgJ0aFMD0xkm3OBZyW/ZH/J22Of4oTOyWR83ymhyZEBlOZsIzWKjsBWet7H9R5Tddtgm2PoQPDqImaTnb4SibXvUeM6pq6l6/juTn5CSaEBRETFsSEsECu2nA+E90pgB6KXTH0onabX/YcPc4FKp/yjC/2eN3asDTiqopoanUSHNC7tbIVBUcIVi2QNKt9oz0QlXEKq4/t5MHDPvoYDrGCqgZWKwf2mE5pf7HutgYlHHfUD1tQZ9byOFkYaJ148hbUxaQTdegdQJNbUU90WNeqsgPBV6VGb+mN/lZqRCuCY8KocsWhmmOICYlhctTk9uIfnSo0RgdFc/q9m9DOEExo164R+Om3zvfrsWitKaxsZHqaWftEdNe0T68yT4GDr/v3ntRQaQIGl5eUTlsA5GyA9JN93vyEjAn897PjHCyqYU7qAK9n68G+gmpe3lnAt06bSqK/LQH8dfR9720MOkuYBc21bRUwZyZH8uaeoh5noz87Zk6oreiuwFPBDnj8EggIhS+/AvEeWTjuQkQl+2DmedhtJqA86EdACVBQ1UhFfQvz3Ovpdq2FN61U/+e+Duf8cnj78A4Sf6pffh24E3gfcx7zL0qpX2itHxnswYkRoGC7OeC1/nn35Ju2AvPSoqmob+GDAyXtxTVqCvsX1FXkDEhq418/OEx1Yws//tzsfu8rIy4Ml4a8ykamTMgY3gbk5ccgdirZjjqC7DZSokOx2RQLJ8Ww010sJW0pbPiL/ymFxXuhpoBtQcs6HPznVzZw+/O7CT/nVM7mt7D7WVh54+A9tnmXwdt3mBMDrtYOM7V/fWM/ZbVNPPzlZQOyMD84wM60xAg2OIL4ZlAkFO4agAcwhKyzyw2hKe1pJT64z2L7laLkxcpp8by6ZRqn2d6C4j1d2kt4o49vZL+awryM7hvULps+kR2bp7Hk2If0dn5fV+V5m1TDBcyoe4jWGoXdprjINolf2x8iTLWnddfrIP4VdA1Pf7PjWrafbbmGH7X8vcN1tYYw1Ujh3o9JmTtw7bodBzdgU5rYmaf0eN3WqElMqtpMQWVjewNdP+kSKy0+vlMQP2U1yYfeoNmRTV7F8AVLboWVjaTZyrHFdFpfaJ1MnKyKyXbUc3IfM69f3J7f5/8BaC+Skt5yzBRy8daCImYydmcjcVSTW17vtVWIm9aaRmej14qMnQuDVDZVdvjdZ6VGIEAFdEhbTAxLZPqE6R0CspjgmPZiIMFRbDzcwC1rD/KnLy7h4kX+Pyepkcf6nAXgVtXQQkOLk/QAq0ddlJ/3n3EK7HgSSvZ6D7DdWpth7bUm+LMHmxM/bvYgM6v/7/Ng7hfg7F9A55MKwDIr22BLTvmQB3X3v32QyOAAvnXqIJTg3/RP720MOvMslhIziemJkTxVn0tpbROJkb6PMTZmlZMSHcKkWB+vh7wt8PgXzHrUL7/cdgKnTUiUCfKt9XwAM5Ii+eSIfyei9lrHqnNSo7tmdtQWmd9hzAV2/szU3QIs1lo7AJRSccAGQIK6gTSEVdf81tIAJfth5Tltm9xB3fy0aA4V11DX7KQ+JIEwgJoivw76fKrIhuln9WvIueX1PLohh8uWTByQKlHuXnU5jnqmxGYOc1B3FKadTU5ZPZPjwtpSQRZOjOGBD4/S0OwkNHWJCYqK98DEZT3v88i7APx8f4rXnn4/+6SRs9OWmiqYgxnUHXvfvNF+/p+wsH32Iqusjkc+zuLypRNZ2Kk0fn/MTY1m/eFSSJk3+ipgWjN1tmj/Zk4vWZzW52a8J0+N444NsyEEyFrf8/93axPkb+PTljN9rqdzWzUtno83zmVp0Ytm7URo99f3VEIsSXRNrSzU8Xzz1GmsmBLH0vQJvLNvIXe+oPiBfppU5aBAx/FHvsiq87/Z5baLzv8md77Q2uG6/3WdzZfs75HwzCXszL2Xhed+1e8xdieocAsubNgmdZP2ZAmIzSAx700+KavuVVDncmnCao6aLrGd10NaKeQrbXv4+PAZfHH55F6M3uhvoOSpuLKaOCohqlNhrKAwdEQymdUlHCrvW7GUF7fnez1hBfg93v2F1dgURFcf6BBEaK2pa6kzgVignaqQYCYEfcbrORXk6aBuy+k3u5p93l+ALaBD8JUWkcacuDkd15dZlRqjgk05/ZjgGMICwnq1ls/p0vxz3XqmJ0ZxwYLeZWL0JwvAzR0Upirrf7m7xuOeMq2TIVkf+Q7qtDYH7lnrzeeKsnU9xpp1PnzyZ/jkT2bm7+QbTSXTD+9pu97EM+8kOSqOzdkVXHdSht+Pra88/680cMGCZN+pvH09bnQcNe2KvLUx6Mzd1qBkP0w/mxlJpujI4eJan0Gd1prPjpWzclpc++vRc6zhCaZAW1SKmaGL8fH+kzDL3K9lZlIkz2/Lp7K+mZiw7se9p8D8z85OiYTnvWR2+LGmcjTyJ6jLAzyTWGsAL4tfRJ95Wx8yEs4iFO81AYKXIilxEcFtqV+legLp0L8KmM315qC+t02OO7nvrYPYbPD/zhmYXi7uhcnZjjrT1qAv5d0HQlOtWbcYN4Xs7DoyPKo/LpoUg9Nl8seXpS0xG/O3+R/UJc1jV473M/UFlQ2w+gp481Zzxixxltfr9dtGq/np3M932PyrV/cRHGDnlnMHtjfP3NQontuWR/3c2YTtW9u/9aBDrTqfBkKIjB78xd4rpsZRqmIpD00nNms9nPy97m9QsAPlbGKLayY3pncfpC3PjOVBPQ+lnzcpULP8S9kC2OucSKLN0eHfsF4HcW/LFfzp3PbXqDlo/w5XvnVmj8GHr+vaEn7M0f98kYUbb2L98T2c9NV7CQzo+7rO2qZWJtfvoSxyKonBPXcHCkuaSoByUV6QBbP8TwTNr2wgw5VHQ0gcoZ0D5oSZ6Ihkzqrfx4tHynod1A1EoOSptTIfGxqiu95WxWYyrb6Mdx19axVw31sHvZ6w8mxS7dIuappr2tacdZ41e6PwMPEZ5dzoclClQql84UKqm6upbqruWKkxJQl4n2LH+6xzQGhAaIdZsvSodGKCYzo2pfZSDCQ0IHRICq28uquAIyW1/PWqxe3rxfwMFNzP3W9e309JTRMTwgK568K5vfr7F1oth+KcJaZdUYifKavRE83ncfZHHSpzd/DhPabX6uoft58o9HY8dfrtsPgaePcuWH8vJiFNm8uqclGv3Mi34n7IP7KWDnoBnM7/V2Cqkr64Pb/r89qf48bu2hh05q6AWWpmzGZ4tDVYOc37Z9CxsjrKaps40Z162XmsdSWAghXf8R3QgZklzPoQnK1gD2BGW/XNWpZndr9Wb19BFVMSIkz7g36sqRxt/Plkygc+U0q9hHmlXwxsUkr9EEBr/ftBHN/48N7PR+ZZBC9FUnbnVbblKLvP0hQ4I01QV1vc9/uqtKq7Tcjs/nrd2Jlbycs7C/je6dN8ruXprbjwICKCA0wFzKRMaKk3jzOy+9SyAWet5dMTppDtqOvwZrpgkvkg3JFbybL0TBMc5W/teZ+N1aZIxUnfI7Wqm4Ia874Ab/3YzNZ5q0baX6WHTPPT03/SoffTuoMlvHeghNvPm9VtmkdfuNNojgdNY1ZzralqGjcIKS6DoTrfFEkZwAbAvkSFBLJgYgybaudxbs6HZs2jvZsCELkbAdgfMIuZSd0HLOHBATBxKU3FwQQf+9D/oK48i1X2vWx0zmaSKm2bVbu39Qq2Rp3d5eq9man0dd34m99l64Nf59SCh9lw3yGmfOMxkuN70VDXw67jDhapI1SnfL7nKwNRySbnsL7kGOB77U9nR0prmWbLpyV2Ol1eKUqhpqzmpL1v8KPDJb0uAuFPoOQvrTW26nwzo+htpmZCJpPy3zbvwT1odbWaSo0eAVmJawOBE+rbe5lZ3yvs9Vzwwu+pbKqkprmm20qNuIIJDw6hpNlOVHA0MyZM6xqQ2YKJXns97wddyI7YK3nkutMItgf73ucwa3W6+NO7h5mZFMnn5lknC3oZKFyyOI2LFqay8Odv87n5Kb3+27sbj0c1l5jUy94ETBmnwN4Xvfdl3fFfWPdbWHQ1nPajnvcVMwkue8TM/NWVdLyspYHLKh/hZ9Vzya8c3GI93v6vGltc3v+vvK0r9ue4sac2Bt4kzmoL6hIig4kJC+y2YMmmLJNO21YkxdtY0WapyIndVd6cYyqiV2RB/PS2z5SDxTU9BnV78qtZ4b5/f1tmjQH+BHVHrS+3l6zv0oC8v7Q2U/4j9SxCwXYzTW7luVc3tpDtqOeypeYfITHKfGAV1wFhcf2bqavINt/7OFOntebXr+8nLjyIG06b0vdxdKKUIj0uzMzUzbb2W541bEFdecgkGluKO8zUJUaGkBYTys68KvOhmLrEVMDsSdaHZiZ2+tncEp/Jj57dSbNTt10cEmgzqTQRiSZda/czcMYdAz9LuemfZn2Dx1nDFqeLX766j4y4MK5fmTGw90d7ULerdTKzwKRgjpKgzlmZR75rwpAEdWBaG7yyfjrnBr5mFrZPOsH3lY9vJM+WyuSJmQTYe575PHF6Kp8VzmDlsQ87lVvoxnu/QCs7P2j5LsW0f7CHBtr5bS9Sv3ojOCSMpd9/kj3P/ooVe37Hgb+eya70z7Mg5zESdSklKoHcJbdwwkXdHKBYjh/YxsmqAftM/9bo2WLNujJXeXavxny0uIYrVAFByT7W7U1ZTcSup0lpOsregiq/y4SD75YY/rTK6Ky6sZXY1lKr8bj5bGlxtrQX+ggLpyqojoLm93lsb5bP4iDVTdXUtHQ90AzxOBb2rNQYZItgTmxm2xq0tqIgncrp4wpl6S8/4E8L9nNG9i/h0td9v1fYI6hVjbxVETyiAzqAl3cWcKysjn9cs6R9rXIfAgWbTbFocgzbjlf2egwFVY0E2hXBVuPxXsk8FbY9CoU7wZ2hAqZFz8vfh8zT4II/9u7zyl0dsZPwRlMBd0t2xaAGdb36v/J53JhrUht9zXr608ags4TZZg2jNVM5IzGy2wqYnx1zEB8RzBR3unhfj3HdmUEl+yB+OinRVkuFou4rYJbVNlFU3di+rvXMO+HlG8FzPaqvllmjnD8tDX4+FAMZV7SGo+/B+78ygZMtwHtlpuE+i+CjSMp868PfnX5ZXN1oeonU9KP0dz+Dunf3l7Apq5xfXjJvwJvpZsSFs6+wun0hb/kxSPfdMHhQlHdsZ9C5X83CSdHsyLV66aQthUNvdv/GDlYrgyiYdCKXZATyv83H2Xis3J14wjUr0tvPDi64Al64AXI/g8krBu5xNVSYs6rzr+hQZOexT3M4WlrHw19e1uuKf/6ICglkcmwYH1eFcIWym6Bu7iUDfj+DQVflU6hn9tjOYKCsnBrPfz+YBYGYEwG+gjqXC9fxjXzaMp+lPaRetu17WjzvfTCXU8uehprins8c522Fvc/zL9fnSc+YSkBl44Cs6fKLUsy7/A4K0ucx5fWvMyv7d9gUoCCZUqK3/pTN0GNg15xtZjPDpvr5HhI9ERc2Amt6t+qhpDCHKFUPKT56Vnqsq/vocFmvgrrUmBDyKxu9bO94oqHJ2dQlAOtcTj+vykHWxK1cEZBM5brvUtVcTX1rp1m55ATgWe7bAjZl61DoIzYklinRU7wGZNHB0Ww+2sjdr+XQ0hICVkmekEAbP/vCAr9eL+4qfjN0tkkR7C6bJCadibWl5FWM7F51rU4Xf3rvMHNSojqWfO/jwffiyRP46/uHqW1qJaIXLWcKKxtIigpBVeV1X/DEmwzrZEX2R+1BXcl++N91EDcdrny85/VinXUzoxOhA9icXT6o7zG9akHja6wA902HGWtg/uUw/RxTNG3XWpMVVpVnTqKWH+2+lYGnRHcFzFyImcz0pAhe3lng9TWuteazrHJOnBLbfllfZ8riZwLK/F3nXGwCyuRIDvbQ1mBvgSls1FbYZsEVUHYI1t/HQLTMGsn8qX65DPgJkO55fa11PypijCOd89MXXAk5n5i0t+jJcPHfQAXAaz/oeoZsxbeGZcgANNeZ6fbZ7f2NPIukAEQEBxAeZDcNyCOS+j9TFxRhZvx6qdXp4u439jMlIZwvnuBnSeReSI8L4629RbRGphGg7MPT1qD8mNXOwByUZHQO6ibG8PruIhy1TcSlLQa0mVWZcpr3/blbGUw5DeyBaK05Xt7A2XOS+OtVSzjxN+9SWOVx0DbrfFN2eNfagQ3qtj1uUlpXfKvDAnGAWcmRnDHLj8alfTQ3NYpdhdVmMXbRKKmA6WzFXl9CISexYqBLXPuwJH0C9QExFIVOJzlrPZx6s/crOg5jayhns2sGF/ZQJMVt0aQY7rMvAJ42B2fzL/N9Za3h7Z9SY5/Av1ou4pUrFw1L1cbU5Z+n9PWbSFAdGxKHqmYmbbsPugnqtNZMKN9OjX0Ckf6mmtsDqQpMJLIhv1fjbCmyqsb5ahoflQIJs1hTcYD7D5fy3dO9l5bUWtPQ2tChyMeCmcdJOfQOJwduRdsbKbKFsc02kbCkBL7w8l/bZs4anV0DPzd3pcZAIgiwNZGgFdNTlretK2ubOasqIvr1H/Hrpq/y7eu+y8opE7Ep/9e/LkiA93c72XC0/YTVpUv8T8l1V75MrD8MSXO7X3sbM5n4yu00trgoq20mIXJkztY9vz2fHEc9D13XqaKwr4Pv4AhTSdJHkLRkcgwuDbtyKznZxzorbwoqG0mPskNxqf/tDNwik8xBf9ZHsPL/zEnlJy83MzBXP+P/+jxPZ97ZMf0UIDAUdeadLNkygS2D3IT8ljUzufW5XTS1tqcC+yw+c9pt8PJ3O24LDIWVP4D6ctj7POx/2fSgTZ5nqk26q386m3tXt6GtWMoBiJnMjKRIahpbKa5u6rLUJbe8gcKqRlZ4pkeeeSe89F1zv55j7WmmLCjMnOj3LJaSHMnruwu7PWmyt8Acq7p70gLtx5Y3HzLZR2OUP6dUnsRUwNyNqRgt/OUtP/2j+80/2fm/g8XXtb9J2jwqM0WmmNLuR9fBiu8OfVEOMDMX2tVhPd2uvCrSYkKJDW9/Y0+KCqG4xpqp8/jH67WKbPPP24fH+vTmXI6W1vHgtUsJ9CPlq7cy4sJpdWkKalxMjplk8ruHWnkWxJr1dAE2RWpMxzdSd2XIXXlVnD7ZOmtZsM13UFd6AKrz2tYbHC2tJb+yge+cPpWgABsXLUzlqc25VDe2EBUSCMGRMOtzsPcFOO+e7tdV+cvZahZsZ5zCi4WxXRaIZ5XV8dKOgkE7Mzo3NYo39hTRkjGXwOMfDcp9DDiPxuO9KR3eHyGBdk7IiOWTkjlcmvuW73YZx80M1FY9kzv8rFQaaLcRmbmU2pxwIrI+7D6oO/g6HN/APS1f5fMrZg1rGf44XeG1UXmi7r7cdo6jnrlO03Q8shfvdfXhE0kqL27/f/RDcOUR84PVzqBDpUb3zFnqTCqaPmR3zVp++9lH1LfWeE1tbHG1dL2DZDhIEEGuQGJcTqJceUSrIKIjpjEvbl6X/mYdArXg6LZKjU9szCFlz5c5NTmQwFW/7no/dWXQ/ANmttbhqLb3KqBzc9S1cMqMBB79ygmc+8eP2JJd6fdM2v7CGiaEBhBYtq/nA+CYyUQ0vo7CRW5F/YgM6lqcLv783mHmp0Vz1uxOB7eLrjIFRjwpu1mH9a8z4dKHvZ4kWDzJnMTZdryid0FdVQNrUqyqpv62M/AUmWKKff0sxmQ8oeDr73htTeAX99/3vV+Y4zVlhwv/DAuu4ITSw/zunUNU1bcMWmP5Sxan8cnRMp7ZYlq2dJuBUGudRA9PNGmjnWef1vzGZFbsftYUjGk7pWHpTd0Gd1BXegBmnNNWAfNgcU2XoG5jlpnZPnGKxwn6BVeY5RuH36bXM2WJc7pUwPzvZ8cpqWny2ad1b341k2JDiQ71+DsV7jSvlzEc0IF/QV2p1vrlQR/JWOR1cSjmAPmEr3fctuCKji/wT/9milMceA1mXzC44/TGXSQlZVHbpj35Ve2NHC2JUcGUVDdCUrIpIOJt0bI/KnP6VCSltqmVP757iOUZsZw9x89Fv73kbmuQ7ahj8oTM4ZmpcxyFaWeS46hnUmxYl/VK89OisSlTLOX0WTPMc9ldsZTD75jv00wLiQ8PmYPRU6ebFMjPL5nIo5/m8MbuQtPUHEyK5J7nzAzfzHP7/5gOvmY+OM+9m/te6rpAvKnVxwLxAeJOzSgMnc7kmrVQW9q/PotDocrM1hTp2LY1rUPh5GlxvHZsOpcGvQR5m9tLins6vpFqWzRBiTN7lQJ90rRENhybxRlH1vn+QHK2wDt3URg4mZddZ/HB6cO7/rFEJZBM1/U3xSq+20blew4f5QJbESWZvWuN4IqezKSK98ktr2d2SqTPSo2VTZVUN1VTUlfBkYQNXB2QQvV732ybZXNqZ9edx0Vh412ePRTChJD2KoxTYqZ0aTgdHRzNZ0cbOHXDTUzX5US7XIRqj4PFWjtc+lqvHlthVQNLlYOACT7SRMPi0EERTG4t8atYSmdV9S3MLH2DXzY8j/p5Mc+HJnN71edZd3AWp/uRCbC/qJpTExtQxdWQNK/7K09Ix+5qJoEqcsvrWTLZ/zYdQ+XZrXnkVTTwy4vndQxqtYbsjyEo0vQIqy5oP/gOCoeXvgf/PBXO/Y1Z/+xx2+iwQKYlRvRqXZ3LpSmubmRqepW1k14uN9m1Fo5voC1YcbWYtMKyQ5C6qHf78uQ+Ftv4D1P12WpMvizDzDxtPV7OGbMG51gDzOs1LSaUj2893fdJh9pS+PhPMPN8+NJ/vV/HHgDTzjRfO5/ycWd+1m0IizXZWJ0qYB4uruG0GR0/Mz87Vk5seBDTEyM67qOuFNJXwlde9+8+3RJnw+G3TLucgOD2gLKoxmdQt6eginmpnWZqC3ZAysLe3fco5E9Qd5dS6l/Ae0Bb50at9fODNqqxwtc/TLUfaTTLbzAVit68Daaebt5Uh1LBdohINik6tBdJuXxZxzNgSVEhbD9eaQqHaKc5q+pvRSU3rc1M3ZTTez3MBz88SlltM//68uxBW7+QYS32zXG3Ndjz3KDcj0/NdabdQ+wUso/XtQWZnsKDA5iRFMnOvEqzIW0JHP/M9z6PvGPOgFklxNcfKmVKfDiTYs2+F06MZkp8OM9ty28P6qadCaGxpgrmQAR1Gx8wzYVnnkdB5Zter9KXwgv+cqdm7NPpTAYo3g0RZwza/Q2Ianfj8eRBWWvoy8qp8fzdNQuXsmPLWu81qNPHP2Wzc3rbwY+/Vk2P56k353FO9aPtM/adbXsUHIe5o/n/8dUzphMXMbwzILlLbiF6608J7dSo/N3A07ikscVnUFt56BMA4maf4rVSY+deZpVNlVQ1V+EIPEb9pFDK3j+PBmctuvNZdw8RgRGE2CIIszcQZA9lZuzMDv3MOgRq2Il66Cyebvkclctu484LfQRWlurGFn702Dpud5aZFgSd9aG4l7vxuPJ1UK8UKjaTGa2lPNeHXnV56x/ltwH/IqzJ/K3CGwq5J+hhHnojgtNn/aTb27Y6XRwsquGamQVQDCT3sOrEapY+UZWSVzF471191dTq5K/vH2HRpBhWz+x0AuvIe2ZpyOfuh+Xf6Hrj1CXw4rfh1Zvg8Ltw0V8gvH02ZsnkGN7ZV+z3DGhZbRMtTk16gJXS2Nug7r1fdEznA/P7QFUNn3yi+X58I8y/jEWTYgiwKTZnVwxaUNfc6mLDUQcXLUrt/jn88B6zbOFsP0teDET1R4+ecXERwcSFB3mtgPlZloPlGbEdx99YZWbKTr3F//tzS5xtak44jkDS3A4tFU6d0fUkbHVjCzmOei5f6vHYmuuh7CDMuaj39z/K+BPUfQWYhVkm706/1IAEdT2JTPa+zsyffyR7AJx/P/z7PPjod0NfpcddJMXiXk/XVk3IkhQVQnF1IzoiyWQj1Rb1PqirKzVvUH4WSencnHPxpBgWDWBj6s4SI4MJCbSZs8SxmdBYaXLWw/pW0rzX3O0MYqeQ46jnBB8HzQsnxvD2viLzoZq6xASf3opPNNVAzqew4tsANLY42XjMwZc8elUppfjCkjTuf/sQueVmdhB7oOkjt+O/Zh9+9NjyqWC7WVe65jdgs/dugfgASYwMJj4iiA21KZwLJuV46iAEdX1tEOuN1Xhc9SVVqR/mpUVjC4kiN2Qm6VnrMcusPdQUoyqy2Nh6kt9FUtxmJkWyP2QROB81fSA7vw801cC6u9kfNJ9tthX88ZSBq27bVydcdAObgUnb7mOCLiPLHktTkI2prjf5/sN3cs7pS2nRdV2CtOzmnTwxMZXqDf+Pmg99V49TKCKDIttmyGJCosmsyqU0aiFLp8/tMHvmWb0xMiiSQFsgT206zhmvnULEnDWEn3Z/9w8mZQnnFx/g20e8V/7z9Lf3j1BR30xrbCpBdV5OTvahuJejopwoartPv5uQQUbpDo73YaZu4rb7CFMdD/5DaeILFY+w/fh3WNzNbFq2o46mVhfz7MdN8+rE2d3fmRXUzQkpJ6+ib331BoP7M9P9HnvhwpSOB90ulymiETMZlnzZ+06iUuCa52Hj3811HzjZ9H/b8xxU5XFXSDKNjZ8nq+xkpiREeN+HhwJrzXYyVspyVO+anw961fCk+RAYboqDzb+M0CA789Ki2ZJdPjD792JrTgW1Ta1dZr86KDsCW/8NS6+H+On+7djHWsFeHVcmzILtT7T1dJ2R1LUCZn5lA3kVDXxtVaesq+MbzXKeDP8q/nbg/p8r2Q9Jc4mLCCY+IpiDPipg7rOKpMz1PFYt3mvuX2bqAFiote5lWSKB1hAW3zWo680/UvrJsPBL8MmfzXd//4H7q7Eayg7DvPb1LbvzOhZJcUuMDKap1UVdcCIRYBYr9/YfpxeVL70159xXWO29OecAUUqRERdOtqMeplkHlBVZQx7UVYZOprap2OtMHZh1df/bkktueQOT06yqVgXbYOZ5Ha+Ytd6kqkw3Pb02ZZXT1Orq8kFy8SIT1L20I5/vnWG99hZcAVseNmnB7oaufbHxH6YwzuJrALNA/OZndtLqaj/773OB+ABRSjEnNZotJU2mlHrR7oG/k/40iPWmKp96QomM6X1Bof6w2xQnTY3jw+zZXJv/Eqqp1hRPcLP6021xzeS6XgZ1SimSpy7CcSiG2Kz1qCXXdbzCJ3+CulJubbqR750/vVfV9XqjsbWxS4l8b42o27Y3V1E1PY76Vs8TD6HAq2zd/CrQsVJjeGAk8S2NJNpDSJ52cZdKjZ7rzSICI7B7prEf3wiPrOHxyCVcu9jLLEonuQVFJKlKXKndz7wBMGU1mbn3UVRdRFFVo88en8cd9fz7k2wuXTKRoMDVpsS5B6c9FHsfTj5q90F4d4UyJmSS6HqLnDLfgbAvkc3e+6em2hz8ev0xHrjGdwXAfYXmwHFi01GIm2YKN3THWss1K7SSN8tHxkydt8/MRzdkMys5qv0zc/9LpljUJf/ovmKkzQYnf8+0E3jycvjkj20XhTcWcnfgv9i9IZ0pF/dc5K3QCjAntJaYY6XAXp7AG+zeY3bTR9O9VhjghIwJPLohh8YWJyGBA58p8eGhUgJsipOndvP+/u5dEBACq2/zf8cd1gr28eRi4ixoqTPZIjGTmZEUwbNb8zrMzG5yr6fL7DT+7I9MauzEbtrh+BI3zaxt7FAsJcJnnzx35cu57sqXAIU7zHcJ6gDYqJSao7XeN+ijGUsOvGrSueZdZs709PUf6exfwIHX4fVb4NoXhqZoStEuQHdsOp7ftUgKtLc1KGWCFdT1oQJmL4K6u988MORrrwAmx4aRVVbXvu6vPMu0DhgKDtPOIFsnAsVdKl+6LXQ3Ic+rZPLsBebMcr6XoO7IuyagmmSqWH54qJSgAFt7o1DLpNgwlmfG8vy2fL57+jTzxj3pRHM2d9favgd1NcXm7O4JX2urUHb+ghTueHE3zU5Nc6traErUY974//XRMVxz52MbjKCurw1ifanOp4jYIetR52nltHje2j+D64JazYHO9LPaLzy+kWYVREnETCZO6P3YVk1P4OP9czj/6IcEaN3+PlddgN7wV9YHnYojZB5Xr5jc7X7clRo7pzT2FKhVNVXR5Gzyud8AW0B7k+ngaJLDkpkxYUaX4h/RrS0Ev/pjQmsr+V3oT/n1N64jOdoEAhsPF7Fw83zKZl7FpOW9OCCDthkgXZnj19WbiszHtS3Rj5MiU1Zj+/AeTrLt5+MjK9v6kHZ2z5sHsNsUt5yaCP953RRgaalDV+VRq0PZOfdOVvXyNa21xl5bAHbaUsG9is0kUDcTUFdEXVOraVzvh6ZWJ2U6jjTVtYBNTVASb+4tIqusjsx47++p+wurCbApIiv3w6TlPd9hYChEJDHFVkbuCJmp894o3uMz09kK7//a9CLz9++XssAqTNJRmGpmxp7fgx9BnXvWMLKpqPu/vS8DMfvUk0krTHE7KzNlWUYsD32UxZ78ql6nmfvjw0OlLMuY4HtN8vGN5tjy9J/0vuBH57oNvZXgnjE7YLU1iKSu2dmhIftnx8qJCglgZnKnLJ7sj01A19vAHSAg2AR2HkHdjKRInt6Ui8ulO1ZvBfbmV5EYGUxipMfJqcKd5sTBEGe4DAd/3hlXAV9WSmVh1tQpQEtLg2401cAbt5pF1Z//R/8qBUYkwhk/hTdugX0vmvS3weYukuKx2HhPflWXWTpoD+oKWqPIhL71qrOCupdzArjn4fc79J06fVYim7LK2XC0jE+POijyLLPvOeRBXHsFZl3dukOluGLSTaejoSyWUn4MwhM5VmWKo/iaqZuRFElIoI0dxyu5aGGqeRPu3IRca7MeYsrqtjOy6w+VsjwjlrCgrm8Hly5J49bndrMzr8qkuCplet98/AeoLelbJaktD5sc+eXfbNv01t4iapqcPHL9skFdhN7ZnJQoWpyasogZJB5+y+Te93Q2vjcGOEXIWZlHnjOWlOihD+pOnhrPb1wzcKpA7Fkfdgnq9jKNhRmJfVrbevK0OP7imsvF9Rug9CA6YSa1LbVUvftTKgLgRy1LOW9FIS8eebYtEHMXBekcpLV66/lpCbIFmXVl1gzZpIhJzIub12Gb5/ozdyAXGhDq/+O6fiFND63hvppf8cN/hPLrG64gLSaU4/s3sUI1EztrZa+fHyKSaFGBBPvZq87uOGx+iPfRzsBT2jJ0YDhnqn18fLjUa1C3Jbuc13YX8oOzppO05Xdmjcz1r5kS/38/ie3FwbxnP5XeJlc56ppJdJWZoK7b9EtzMi3dVszx8npmp0T5vq6HPflVPNpyBX8MeQibZwXPwFA4604CX7bx0EfH+M3nvScj7S+sZlE8qKpcWOZncZuYyaRWl1JQ2YDTpbHbhuBEbDd6bGi987/gOAxXPtm7Imc+agNEt5T4dfPCqkZCAm0E1Bb6bubenYGYferJ5BNN2l7eFph6OsusLITN2RUDHtQVVzeyv7CaW8+d5f0KWsPbd5haByd91/t1BlOCdYKodH+HCpiHi2vbg7qscpZnxnZ8zfdnPZ1b4uwObYdmJkXS0OIkr6KByZ2Oh/YWVHecpQMzU5eycHgqyQ8xf4K6AaiIMM588Fuz9uXy/wxM6fcTvgbbH4c3f2yqFfZnLZM/CrabdDTrgL2qwXuRFIAkqwJfUa3TSjftW1DXEJLErS8dajujmF/ZwE1rd+AurBYcYOOEjFiiQhqobux60DbY5d3T48JobnVR1GAjNTLFzNQNlfJjEDuFHEcddpvyWco90G5jXmp0x2IpB141HwbuN7OyQ1B1HE65CTAf7IdLarl8mfez8+fNT+HOl/bywra89nWL868w6zz3PN/7XootjbDlEZhxbocP8sc25DA5NozTZgxtuWH3m/9hlUmidpmzgf42ZPXHAKcI6eoCCvWsIWs87mlqQjgxUdEctc9hRtb69gua69CFO/mk5QKWpnc80HFpV4dKjZVNlT4bUW/OOMqFpFD19rVUu1raKzWmJADP8VwuYD2VoQGhbUU/YoJjmBoztUOFRm+NqKOCowgNGIJgeEI6wV97DfWvc7m/4Q6+93cbZ52ykuLN74Idrn4Lrle9TBe32agKTiG63nvDX08NzU7iGrJpDQwiwJ91ygFBqIyVnJazj3uPlHU5++1yaX752n6SooK5YVYDPPywqd6cNBcAlTSX2WXr+JuPNS7dKahsIFU50ChUd2uqrMcxSZkKmP4GdZuzK3jZtYr7U7cTlP+ZOUAHWHwt0cuv5tK83Ty7NY+bzprhtf3A/sJqrk0ugWp6LpLiFjOZuPJNtDhNdcehaj3iS0pMCAW+GsW3NMK6e0zWyazze7djH+9tBTqO6G6KBbkVVpmTt6oqz6Rz9kV/Z596MvEEQJlsq6mnExcRzJSEcGtd3cBW4P3wkFnT6nM93b6XIG+TabEw1IXzoL0CZknHCpgHi2s4fVYiJdWNZJXVcdXyTtkU/VlP55Y42zx+66SreybwYHFNh6CuscXJkdJazpnrcWK4tcl8rp98dt/vfxTpMajTWucopVYB07XW/1ZKJQA9r4Idrwp3wmcPmEWs/qRr+MNmN33tHj4bPrwXzvnlwOzXl4LtHWbp9vookgK0TXG39arrY1B3sCmuS4qI1hAZEsBD1y1j8eQYggPsXtcHDPbaK2hv9p3tqCM1dsrQz9RNOZ0sRz1pMaEEBfju07RwUgxPbMyhxekiMG2JORlQkW0KvIBHKwPzBre+7YPEezAVFRLIWXOSeHlnAT85f46578RZJuh/5w5TnbU3Z0j3PGcK43gEg/sKqtmUXc5Pz5895Ge1M+LCCQ+ys6khjZVgzgYOZFC37KumqICnvqYIOVuw1xVTxMmcOMRBXaurlermahZOaebJ7FTOqFxH9f6nqdKtVBXvompCFG+pciZW/Jr3XqvvELT1VKnR3cMsPHQCk6tySAoJI2bepUTveYFwx3F+Xnc93z3rJM6eldl23SB7N+t+RoK4qQR99TViHjmPP9bfyT/fPI9bAp5Ba/hrw+388YUvAt/pVWDXFDGJtPp8SmuaSOym8fyxslqmqnzqIzOI8nfmZcrpJB1+m6DGAg4U1bS1+wB4ZVcBO3Mruf+yBYS+8y0IiYHVt7ffNnE2CbufIa/I/8qHbgWVjaTgoDUskcDuToBGT0LbAkhXxRzvRQXMLdnlTEkIJ6i+GGacB1c+AX9datq9aM03Tsnk6c3HeXRDNjd3+gwpr2umuLqJJelW4JLsZ2mBmHTCG1/Ghovc8vphD+rmp0Z3CeraPjO3PGLWSF3yt97PYnhJf3TaQ7i34QquyK1i1fTu+9UVVDYyNdIFNTUDtw5uoIVEm5MXnuvq0mN5c2+R19S//vjwUCmJkcHMTvFy0r612XyOJMxuW4c+LBJmmZk6ICYsiMTI4La1bRuzTAGZzss4+rWezi1xNqBNBcvUxUxva2tQ3aGV1YGiGpwu3XGmrmSfyQwaB+vpwI+gTil1F7AMmAn8G1MF8wmgDzkkY5zLacr9hsbCWXcN7L4nLYfF15rKU4uu6rkKV181VJogYtHVbZt253svkgIQGmQnKiSAkuom39U+e1KRw9FW7z3qahtbWeHRxNJ9EOSufjlUa6/cKY85jnpOjs1sD44GW3OdeU7jppCzy3s7A0+LJsXw8MdZHCyqYV6qRxNyd1B35B3zxmwt6F9/uJTkqJC2s27eXLokjdd2FfLhoVLzBrprrdWT0Epn8rf4h9amjUHiHMhsb4r+2KfZhATauHxpHxvG9oPNppidEsUGh+am4KiBL5biOAK2QHNwUF9mZrPP/W3fzi7XFKHQFOg4UvuYftnsbO5QjbG7cvqe22tbPApUpMDzJMAm0yhaAVERYVQ7a0hVpmLjpMhJXfqbdSilHxzdVqnR7fXdhUxY+3lWlO5EHd0JaN5QpzAt4QxuOPHkQWtZMmgSZhBw/ctEPXA6dwQ8ifv4b6Iq4xf6Qe59LYBLFvtZkhwgJp1JpTs4Ul7fbVB3pKSWhaoAEnpxEDVlNQAr7Xv46PCqtqCuscXJPW8cYF5aFF8I3gw5H8MFf+hYJCrRzNglNWZ12xDYm8KqBqarsp4P6u0BqOhJTKso5SM/K2C6XJotORVcOj0QDh4zJ1hsNljxHXj9Zsj9jCmTV7BmTjKPfZrNt1dP7bBWb3+hKbgwxZkF4Qn+V3WOmYzN1UISFeRVNHCif7caFDtyK3n3/7d33uGNVdfefrckWy6yLTe5lymeYXphGp1ACAlpAwSSkARyU7gpNyHlkoT0HgL5Ukm9gUASCAECE0gCQy9Dmd6Lp7r33iRblvb3xz6yJVuyZVuyLc9+n8eP5aNyjrWlc/baa63f71gT60rs1Hf2B14zl6bCL36izsXG+E8I3zns6a+r60FiBv1v/iFPPJLKwqr2cYO6+k4nFxYZ2d3J9NRNF0Ub1TXP8OBdV5rO33dVc7K5Z6gEcaoMery8cryZK5flBj/P7f6Tmpfd8PDkfIAjhWMJ7PlLgALmCUMBc/vpVmxWC0tHZtGn0k/nw7+fL38NNquFwvREykeob/pU2pf5e9TV71e/dVA3xNXAGmAPgJSyTggR5fq/GGX3vWoF8Oo/QGIUTEff/G04+oQSTbnpiejUB/u+AGGIpPhwGLYGpOROfFI82A9dtbRbLwT36LuDrXJuXlMQ9SBuJHlpicSbTVS0GmIpPY0wUgEwGhhlnjJ9Pmdaetm8euz/21ciub+mg+XrloHZqsRSll+rAsTK14Z62QY9Xl450cLbloe4kBhcVJZNZnI8j+2tUUHdc98dDuh8hCP+UfmqEg965y+HPrsdfQNs2VfL1WsKSEuKQKnyJFiWn6pUvEqXIyIZ1HU3wsGH4dyb1Kr27cVw/memYGcwbDyemiRp7G0M7CcLI0BzDobuPfUpNfpKFjMTMlmQpsoaU62ppMWngSeJ7zx2ggfjfk7mss2kXvEDUh76MNW1Z/iy43b+9o7zJve/ARe7XiDedALhl9m7xLudBWXlCBGja4g5y+iRiSSJQBGWJDHAxwb+CoQf1Fmz52M/2Ut9UyOM0c9T0djGO0QTMhzlSx+OJZDs4K395dx7soX/vkSVlt297Qx1nS5+dvUiTP/5hMpWjZS8NxYYF5uqOTaGIXAw6jtdXGJqw5IeRuiTMY8F3dXc3xZeUHequYeOPjdvTq5SG4qViTSrb4AXfgCv/QqKN/Hfl8znqcMNPLizOkCK3RfUZfUcDz9LB5CuRG2KTU0zKpbiHPDwhYf2kZNi5e4PbyAtccT59aU7oK8VLp/CAvTK62HZNerctuI9JJ37fspefok9Ve1jPm1g0EtTdz8L4jvUhtRZmqkDKN6k+sAbD0PeyiFLoZ0VbREL6vbXdNDlGuSSkd6BoHrSXrwdSi8aUqyeMbINBczOakgvoSzHxt92VOH1SrafaWNdaToWs18lUST66UD5A5vjVdbNYHFOCsdHlHwfrusiLTEuUKyrfr9aVA3TMivWCSeoG5BSSiGEBBBCzEAxbwzQ3QjPfkfVhkerxjs5S2UA//V5uGM+ONsj3xw8JJIS6FEXLEvnIyfVqoK6/FzobRpa0QqLjmpAsmblauK2C9ye6ZO0nwhmk6AoI5HKlj4o8tkaVEDu8uju2Cjz7E4uptvVNG6mrjBdBd/7qzv4wMYSpVJWa4ilnHlFmbMaF4b9NR10uwaDGnj6E2c28c5V+Tywo4rOPjdpIcU/qsf273vjtyqL7fdZfXhXDS63lxvPKx3zGKLJ0vxUel/30GVfQtrRByf2+R2LnX8Ej5tnUq/h2z/fzaPSzq4XXsKdfB2b1xSEpdQ41IM20ElnZzVdRfk0mx7ioof+FnK3FpMlQOQjz5bHOfHnjBL/8O83U5L7yZhE6NJeH3dvfRGL+xyKq3ZDnA1Zs4NtA+exrnRqC1m2bT8EEdgvO6Smd0WYIhWzkCzRGXR7vql1Qq+TmqcCre76U0DoSo2e2mOYhYScEIILwRAC5l/KxqPP8KkzrbjcHrpcbn7zwknesjSHjXV/VmV61/5x9HcjrQgZl8yiwRrKG7rG9tgaQV17HwWiNbTxuD/ppeSf2aX8QsNgZ4UKLJYNHoa4JHUuBNWPtO4j8MpPoe00a4rns2FeBne/cpobzyshzpiUHqnvItdmxtJaDmUT8K/0edUldlA9g7YGP37qGKebe7n/YxtHB3R9bSqoPecdUy83N1tU/3bNTgDWFqfz5KGxyxMbu1xICYVm4zswW8svQWXqQPXV5a2kJDOJLJuVXRXt6hobAV4qb8Yk4KKFQb47234OzjbVdjPT1QrZxjml+Rikl7A4JwWX28ve6g5ONvVw7doR4xiJfjpQn7GsxYEKmLkpvHS8mYFB71BLyuG6TpblpwYuUtftO2tEUiC8oO4hIcTvAbsQ4uPAR4A/RvewYpCnvwaDTnj7T6P74YlLUq/vNAwwp+p75c+Bh9SKEMDvL4bLv0ln2dUhRVJ85KQksP1Mm8rUSa/qmUrJDW+fhvLluavXcHG7meeONiFg2soqJ4LyqusdLmVsOz0NQZ2yMzjjzQGaQtoZ+BBCsKowjf3VxkQy3+ir8wyq0su4ZChW2ZSXjrdgEnDhwrHLZACuXVvIva9V8O+D9dwQSvwD4CeLYNGVsPK96rfFqj5Xz3xTlZFaU1W2eeX1eLySv7xRyYZ5GWELH0QDX6nGmbgFrHb3quxo1sKwny+lVEqN/sFZbzOdh++jpnAVf9pzP57EXr6Qmo7TdIrju27kx0fcuLzdYyo1JpgTAgKvEnMSaU4XL8ZdzofOXz1U0jgkqT8ZpcZJcMHCLLbuXsQK1wNw+kXEQC87PYvYXBI6exQW0TYTniFcibkkOUeXpbsSc5mIzmp8ljrvDLSMLdIkWo6rG1kTXBCbfym2gw8xz1PJzoo2/nOwnv5BL9+4MBnu/4VSvS0Jkok1mRA5S1lRW8MDExRL6elowspAeFLj6fNI9nbR1dGieobNYy9A7KpoI8tmJaVppyr/8u/ZW/9x5f/6xu/gqjv4xCXz+ci9u3hifx3XGBPTo/XdXJbVCQ0Dyog6XNIKAcE5ie38Y4YyddtOtHDvaxV8+PxSLgh2ft/2U6XSfdnXI7PDwnUqSHQ7WVuczoM7qznd0stCR/BKlnpDxTpHtigPsnDnCzOBvVjpBVS9ARs+jhCC9aXp7IygCfmLx5tZU5w+ulqls0a13Ky4PmChfcZwGEFd01FYdOVQb9v925XVSlT66fz37dfbuDgnhUGvpKK1l0U5Kbg9Xo41dHPTeX6BtsetMqwbbw7ygnOTcIRSfiKEuAKl/7QY+KaUcpoaimKEUy+oMqtLvhJ9g/Dnv8+QJKSPqfhe+fCZJPvKs4xgsXFDN5AbVCTFhyM1gaZuF9KWiwA1eQ87qDMmKOmlJMbVUZKZxEu3vmny/0cUKclM5vXTrcj0Fer/bB97chUR2k5DcjZnutXqeGnW+NPAVUV2Xjx+gp7+QWwF58KO36sG4xPPwPxLVKCFasxeVWTHnjS+6MTyglQWOmw8treGG0L5A118q1oBPviwUt1MsKsVsqo3wOcB1t81tAjxYtwlVLX1hZZwnibKcmxYTILd/QWUmkx0VjxPp+wblTUbmU3zKTd2DXQNKzX6k2oF2hAp2zF7E2nwWCiS3Qy6HPS7U7lp45KAHrORvWcJlhFlbE9+hd6WndTO+zAfW7FuWt6bYJy/IItfv7GU/7UCL98JKNPx7xTbp/S6fSGCn74JBj+zjaS3fZfBf34Gi2dYrGLQnEDS2747sRcyMkCmMbzqPF5Jas8pvCYTpszwFyYAdW4ALjAd5EN3KwW7S8qyKNrxfeVJdsUYx+tYwuK6LZQbJYth0+EzHg8jU2MsphXKBuo6nJSMs8C1s7KNi4riEGcOjTZqTs1TQerev8KbbuNNix0szknh9y+d5uo1Bbg9kpNN3XxqsSHbP5HyS4sVUvKYZ2qhtn36M3WdTje3PrKf+dnJwc+tXXWw4/+Uz2ikevMLNygxirp9rC1RC517qtrHCOrU+2J3N0Fq/sz2iY2Hz5+1evvQpnWlGTx5qIH6TueU7WVaevo5UNPJF64IYj/y/A/UQnmkgu+pkpiuLBWaywF17QT414F6kuLNoyu6ItFP58OxRM0tXF2QkDpU+lre0M2inBRONvUwMOgNnKs2l6u5R97qqe8/RghHKOXHUsovA88E2aZxu+DfX1Q1vxd+Pvr7i9ZqdgiT5LxddwL/b9zyS7dH0hWXRRpMTAGzvQIsCWDLobrtJMUZs3f6VpqVRN+Ah+bBRByJGdOjgNmq7AwqWnsRgpB2Bv6sKrIjJRys6eS8AkMs5cDfoaMSLlABVXvvAAdqOvjsZeEtQgghuHpNAXduLafqundQ/E5C+wO9+Ttw5kXY/yAcfARGqh8aixD3pd1DTqo1UH44Ari97qEgzF8yf2Tvmf99SWWt/LzHyc9LCuHwr9TPCFLiUgIyZ/nJ+aPEP9Li00iLTyHt0U+QZrKyvuJWJGr19Xzz03wv7l42uq6iiQw+96kJSoh31Sjj8RmwM/DnvPmZ/A+lDAgr8dVvIIFHE7+P/WTSlBaW7nC/ly/J35AkBoa29cl47nC/l29P/bBnjpXXqwut3/fFMpmS+cR0nKZkkvqC+4MB1LT3USpr6E0qICVuYp+TLacFK2U+F5oOcbdHfTbNFS+C+V/q+z2W5YBjKSneP9PWXMugxxvYVxOCQY8Xa1+9kl4LRyjD51Unmqho7RszqGvodFHd5uTri9oAOVSdEMB5n1IebbvvRVz4eW6+eD5ffHg/Lx5X4lFuj2SJqFDXp4kGyPZi8jqbqe90hpVVjCTfefwwTd39/OOT55MYHyRYeukOVWI+MtCdCoXGIlPNTuaft4nUBAt7q9q5PkSFj0+NM9nVEBuG0MWblE9wZy2kFbDeKDXfVdHOO1dNLWDZdqIFgEt9/XQHHho+VyCh7C1DfZqzAsewAubzR5swCdUjKSwm/n2gfri6KlL9dD58YinN5VC0ngWOZMwmMaS+ebhOLSgFKF+eZSIpEF755RXAyADubUG2nZ1s+5kqkfvQFpjgRXRSRNj3aogQQaGtv2FMkRQYNiBvkumTC+rSS0EIqtudXJkfOnicaXwBZ2VrH47psjVoOw3zL6GytY/8tEQS4sZf0VxVaAdUz9x58xaokscdRsW0YWXwyskWpCR4Y3YINq8p4CdPl/PY3lpuefMY/kBmi/JTXPhmI6gbjeys4eXGZr5wxaKQE54Bz8C4AiAd/R2jArRed2jJc4EYEv1Is6aRlpBGcWoxwukmoaWaa7zbSfW4SUvIJO3cj5C29JohpUaLKZzTJSoj2nQCrv4D+R2p1BomvyelutgtNNVimcRExtNRQ60ngzz7zAZ1aUlxfDJzH+YeJZYjgBzZPOUy8Pt6NtBmGuBLlofIF63UyUzuGLyeJ/o3xHZQB5Hx0xKC7sR80rvqA/pI/DnZ1MNCUYcnMwzT8RHcubWcmz3LuM78MnEMIoHbxH3UiFwKN41jduxQoizzvZVUtPaFzND409TdTw5qQhuWUIZPgEQ0UdXaC4Q+d/lK49bIoyrLGKz8K3eFUn7c/nvY9GneuSqfnzxdzu9fOjUUjOS5TqkMgTnM777fsWa0vIJXElZWMVI8ebCeR/fW8tnLy4Z9RWF0oDDvTZEVjrA5VCa5Zicmk2BNcTp7KjtCPryuw0lqggVzdy0UzFzVQdgM9dW9AWnXsjQvlaR4M7sq2njnqjEWO8LgxfImMpLjWZ6fNlwx5b/AfuYVtT2afnwTIXsJ7LmPLXuque2xw3iNNdv+QS+3PaqExjavKYhcP50PX1a56QgUrcdqMTMvK5ljRsn3odpOEuPMzMvyO/fU74d4G2RE1lNwNhPyTCWE+CTwKWC+EOKA310pwKvjvbAQIgF4GbAa+3lESvktIUQG8HegFKgArpdSji2VNNsYeYIs3AALpqlkMFTp22R8r/wJESw2iqwxs3QwbEBeN2ijDDHBoK4S7CV0u9y09Q7M7kydz6uupZf1GfOgavs4z5giA33QXQcZC6g4PL6dgY+M5HhKMpPYX90Bhx5RCqOefjW5qd4O6SW8fLyZtMS4oQAwHArsiWyal8lje2v47OULw+rbkmmFuLpq6DSZ6DSZ6DKr3/XxdhIGX6I76Qjffq2XroGuAGPqroGuMZUazcIc0FPmSHJQll4WmDnzM6L2bU+JTwkqBvLiw79mQ9tfhrNEPX3w/B2QXDjxi+nrd6kejGVX86H2Km5/SpWqnPSqQG6JpZ7rJiEAJDvrqJdLZjxTB/Cxgb9ixhu4cYpl4Pn2RB7vuJDHBwInAQUz7PM1m3DbiijqVnYupVmjA4VTDR1cKOoh790Tfu26DievmpZzk+UZ1ogTLDdVUGaq5WP9X+SP4y1YGkHdYlFDeUN3WEFdfaeTfNGG1xSHKTmMxSVrCjI5m3ndTRwfRyxlV0UbSfFmstt2q9Kr+BDnzvM/A/e/Bw4/Rvyq9/LRC+fx/X8fNQISibt2PxUlV1I6/tEFYi8mydWIGQ/VbdMT1DV1u/jqYwdZUZDGZy7zyywGCxSqX498oFC4Xqkro8RSfv7ccbpcblKDmJDXdzopSLOqUtClMZCpy12h9AyqtsPya7GYTawptg+J8UwWr1fy8okWLi7LUqIywSqmBiPQXhNJsheDu4+/PrUNpzuwF97p9nDn1nIV1EWynw7UokFcUoBYyuKcFA7VKf2AI3VdLMlLCfS6rd8HuSuVlclZwljLTw8ATwI/Avzz9N1SynA6RPuBy6SUPUKIOGCbEOJJ4BrgOSnl7UKIrxivHTtZv2AnyIYD07eS4tvHc99VQZglQUnET3Xfl38THr0Z/1I5aUnkh33XsaJw7KBuyIC816v8fML1qpNSlQSWnD+kEjabg7qC9ETMJqHU19xO6KyCb9sjr0Dqw9ezlzGPytY+rlwWfjP5qkI76Se3QOXvh/vZvIPwxGeRwMvHM7hwYVbYZt9SSvoG+3jTcgu3bz3BX/d7cNg9o6XzR5Y6ZloYyAheghPHkzxyMlCpMd+WzzkZ5wyJf9it9sDMmhGsJcclR1QM5LyKu7D6lf0BkwtSGg/D6RfV58EST3W7E7NQRq3NvWl0kcwN813Mn6gA0OAA5r4m6rmAjakzH+SkDjQGv2MKZeC3XrmY2x49iNM93J84mxRwZwOmjFIKG15ld1tv0KCuo+4EVjEIeRPvlcq3J5Le1YWU8Pf47yERHPEWcTQlDDsJWzYyKYvF3dWUN3bzdvLGfUpdh4t80cKgLY/4MCddIn0eZa5mnhnH1mBnRTsbi5IRdXtg43+HfuCCy5WgzOt3wcrrsRk+dQMeL7m0YaebX51JYcXe2omJdtlLENJDnmilZhrEUqSUfPXRg/QOePjZe1cFVj8EDRRckQ8UijaoRcTOWtaWqBaA/dUdXFQ2OmCv63CxOKUfOgdmt52BD3McFJyrMnUG60oy+NXzJ0IGruFwqK6Ttt4BLl3sUBtiQSzKyJil9pxCuZ0FUmdUpkS0nw5UYJa9eKj0E2BRTgr/OVRPb/8gh+s6ufZcv8+S16MstkZasMxxQgZ1UspOoBN4/2ReWEopAZ8zYJzxI4F3A5ca2+8DXiSWgrrpOkGOha+U51+fhwMPK5+YqVL2FkCqUr3+bkgr5MTyz/P4c7n8eZxMncPI1DV1uZRBa7iZOme7Es5ILx3y8ynKmPkJayjizCYK0xPJOvNPaH7a2Cojq0Dqj8/OwFZCW28TpWFm6kD11V159K9gCvyset1O2p/5Ns2ur1BWJHit9rWQcvqdA51D2bOu/i4GpVJqTJ4Pd+wP3F+iJTEgS1aaWjosm99WSeqJ57D3tJKWmMmp3Ov56v4FPPDRN7GpNG9WmErH94ZYiJjoxfT136jVxHP/i84+N4/uqeWatYV8+13LWPatrfSmLmA+oXuiQtLjZzw+w+WXADK1ANEV5L2ZQhm4b9J859byQJPkWaSAO9Mk5cwn6Wg/TQ01sMgx6n5Pk8oKT1j5Evj50hMs3/2XIfFmgWQ+Dfx82Ung8nGfL3KWstJVy/MN4Yml1Hc6WSNaMU3kM5Mxj+L6F6gaI1PX5XJzrKGL/1rXDbUDw/50wTCZVG/dE7dAxTZ+9fyw/+YSk/K32+8u4ilf9iFc7EpopsTUElWvui17a7lza/lQiffm1fksdIzwTpuuQGGor24Hqxe8AyFgd2V70KCuvtPJO7IMhebZbGfgT/EmZYNh+NOuL83AK2FvVceEbDz8ebG8GSHgIp9Re7TaayKJYWtwblIjz/eMvjvfnhj5fjofjqVw8tmhPxfn2pASnj3aSO+AJ7CfrvUkuPvOqn46CK+nbtIIIczAbmAh8Gsp5XYhRI6Ush5ASlkvhBh9ZVLPvRm4GaC4uDiahzkxonSC9J2cJzSZKbkAdt2jMoU+QYzJUvW6+v3+vw3VQL/w0ing2Ljll1aLmfSkOBq7+lXZWU+YQZ2f8mV1s7rwzeZMHSgFzKtq/gDeCGR1xqNV2RlUyVygKaCEx+P10D3QHTIgO+5q4LhD0mXOpstkotMoe+wymfAKgS3rTu4+A3ePEPBMsiQF+JmV2ctGlTM+tKOVIzVuHvjIZWQnp5ManzpaqXEkhmeqlJKv/exllueYZ01AByifrKleTLsb4eBDsPZGSMrgoZdP43R7+PAFpSRbLRTYE6kUheQ175z4AXYOG49PxNw5Wuxe+FmW7f56gKiJU8ZzaMFnmEqxzeY1BTqIGwNbriqr6204BQSe86WUJHaqcwbZE++pW3/qVzAiW50g3Go7Y2S7fDiWMq9iB8frg/vyjaSuw8U7RBvm9AlItaeXkuFppr6tEyll0PPH3qoOvBI2mIwAt3jT2K+58r3w3Pfg9buo67hxaPNSoVRGj8liejucoZ4d4jhV/9/y5PaoedVt2Vs7KrO99XADW0ZmFacrUMhZAWYr1OwiZdnVLM5JYU9Vx6iHOQc8tPe5mRdnlC6GI5IzGyjaBNIDtbtg/qWsLrZjNgl2VbRNOqh76XgzKwrSyLSphXEu/yY8/hmVKPARifaaSJJoh5Q83mnv5K4Kc/DKikj30/nIPgf23T/kh+tTwHx0j7o+LvPXZDgLRVIgykGdlNIDrBZC2IHHhBBhm3pJKf8A/AFg3bp1cpyHTx9ROEGOPDnXdjgDG05DUWKUxVS+OvWgrmKbOiH7NS0frO2kwJ5I+hgiKT5yUhOUAbk9d/jLNB6GRx3ppVSX95FitYw2SZ1llGYmkVXVEvzOSQT2Yyo11j5LZ04eRw7eQWJRLb87cS+/KO+hc6CT7oGx/aBscTZsCYlkeN2keb3k9Q9i93pJ9XqxyCT+FvcRvveuDUPBmq/EMc48/vtv9zbxXwd3UtOUxrJlQddkQvL66VZONPVw53tWzpqADoDLv0n/Y/+DVfYHbncsUWXC4RzrrruVufvGT+LxSu57vYIN8zKGLjQLHTYON+eyydk8tkl7MLrURas3ITcssZxo87kjZZzr/tgoUZPdR8p49V0zfXRzF3NGKQCettF2Ki09AxR6qulLzCYpYRKCU1NdsHQsIUG6GGyvom9gkKT4sacXDR095Ii28IzHfaTPQyDJHGykubsfR5AFjl0VbZhNgoKufUrUYbzvWVwirP8YvHQ7m1Lfwetd6vFLTJVUeh30kDTxvs7UAhAmFlvb2RmlTN2dW8sDJtQATrd3uKfJx7Jr4LVfBD45GoGCJR7yVw+ZkK8pTudfB+pGmZD77Azyhc94PLQH7qyiaD0gVF/d/EuxWS0szUudtF9dR98Ae6va+Z83+fU/rrweTj0P+/+m9hWt1o6pkr2YYmclP7pmRfBkxNO/jWw/nQ+jd5emo1B6ASWZyVgtJl450UycWQwFeYCah1oSIWviC1yxTFSDOh9Syg4hxIvAW4FGIUSekaXLA5qm4xgiRhSESoKfnD2jT84jSc1TVgoVr6qG76lQ8YqqifdriD9Y2zluls6HIzWBxu5+KMqDniZldj2eYthQUFdCVdthijKSZtdEPwglmcnUeTMpNAUGdgNAp72QzvaTQeXzQ0npj6XUaJKQmhiP7ClHmC3kJBeTnrhglJ/ZyEyaT6nxjju/yy19dwUEKtKSyBddH+Kt572DS4uWTuo9uGhhFjarmVse3Eu/2zuhMrn7XqsgPSluyophEWfl9bx4uIFlR39BgalVTTQzF8KJp+GVn4xfRuJ2ws4/wqK3QdZCnj3cQE27k69dNdzbVOawsf1MNh81Ay3Hx88g+GMEdWKWrGrXdTipZbSoiZhoRkMzMYyyPktX1ai7TjX3sFDU0p++cHK+flNdsHQsA2CxqOZEYw+r/NUXg9DfXq/EdiZYfglQIhqpbOsLGtTtrGhjRV4yltqdsPK68F53/cdg28/4Yf4rXOW8Bqfbw1JRyRFZMrm+TnMcpBZQIlqpjpJXXV2I71rA9p4mZduQkg/CpM4j0QwUCtcrD7zBAdYW2/nbjipONfcMmVSr41NZqGxvi5p0J6ZH/jiiQUKaCir8++pK0/nbjqqQarRjse1kC95gCtTOdmXf8dm94S0mzgSGAubmVXnBr/uR7qfz4a+AWXoBT+yvwyslXglm4D8H/SwV6vZB7vKJK9fGOFH7b4UQ2YDbCOgSgTcDPwYeB24Cbjd+/zNaxxAVAoRKgnh0TRAp5VA9/EhCnbQDKLkAjj4OXu/kFX6cHVB/IMC3ptPpprK1L6TPzEgcKVZONHaDLQeQ0Nusgs6xaK+AZAfEJ1Pd7mRB9vTIPodCSolz0Bko/DEiIDva1cD9jvmUxFnoEtBpViWNTt97//jVo17XIiwB/mbBlBr9xUJS41NJS0jDdtcmTPMu5ovuT/JqWwu//8T4fS3+dCy8mm/uH+D2tC0I47N6ZMktPPpiPn+ZZLkIKKNRp9uLx9AyDjezXNvh5Jkjjfz3JQtmRbZpJPFr3seF+xfw95s3sXF+pvpObfkkPP99sKbBxptDP/nA36GvFc5T0u/3vlpBfloCVywd9uBb6LDx1GCeuvo0l08wqKujlyTs9glk96JIvj0x6HkrXytVRpf4ZHos6diCeNWdbOzm3aIOU+7Fk3vtqS5YZqvAZ5Gopryhe9ygzrdQMSGhDMOrrlg0Utnax/rSwO/DwKCXfdUdfGG5C1q7x+6n88eWDavey7wDD/H/3v5ZfvpCJaWuRp6LfxM/evuKyZUE20vIa1cZRZfbE/FzXk5qAg1drlHbh76DvvOXqwtufgFylkV0/0EpXK9EZxoPsrZEfR72VLUHBnVGpi7N3ajmT7M1cAlG8UalY+D1gMmMlBKX28virz854R7gl8qbSU2wBCpQu11w+iVY+6HZ/b44zlH9ap1Vo60xotVPB8or05oKzceGKtzcHjUPcXvk8DxkVZ5qS5ptGc5pIJohbB5wn9FXZwIeklL+SwjxOvCQEOKjQBUQ5lLaLCISnkPAyaZuvvPEkZD3hzVBKr0Q9v4Fmg4r2d3JUPU6IAPqnw/Xqr6IcDN1OalWmrr78dpyMYFSwAwnqEsvRUpJdVsfb5qAZ9pY+JQagwZm4/ieDYzslfMjzhSHLS6Nljgz6bYS8vvqWOrsJc1kJa2/i7ScFaRu+gxpCfaAYC3JMokM5ECfmvRkzKfySPh2Bv6sLrLzpe3ncfOnv8KCbCUx/tA/D5EQVz1qMjQR7txaPhTQ+Qgns3z/G6pH5QMbZ1GPrB++JuvDdV0qqDOZ4N2/hoEeePJWsKbA6iC6UVIqgZTclVB6Iccaunj9dCtffus5ASbMZTk2amUWHnMC5pbjEzu4TmU8njsL7AxAK1XOJL1JBTjaG+l2uUnxU91rqqsgRTiR+ZPLwE95wTIhFZlWxNL2GvY0jF0e3j/oIdlZD/FMrKfK5kDGJVE66POqC+RwXScut5cL44zvV0kQ0/FQbPoU7PkzV/U/yVUfvATulnz8Pe+CcyaZHbcXY298HlCm8KMETKZIbpp1VFAX8B3c/lslKnHVT6YnoIPhcruaXczfsBZ7Uhx7Kjt47/rhc369kalLdNbHTj+dj6JNSseg6Qhb6jN4cIfKbEsm0DaDmqO8dLyZixZlB1wjqNymLAzK3hKt/yAy+IzAm46NDuqi1U8HKtB1LIGmo9x5cIwKt2KXEuE7y/rpIIpBnZTyAEH0TqWUrYQjpTWH6XK5+cWzJ7jvtQoS481csyaf/xxqwOUO9H361KVhGCb6+uoqXp18UBeinw4mEtQl4PFKOi1ZpEN4CpjtFVC0kebufvoHvaNEUrzSS/dA91DP2XgBmb9QiE+pMRihlBr9fc9G+pulWdNIMCcw4PFyzjee4sLLyvj8FX612q/+Ep75BmSvgyu+G9Z7Nu57A5Axn4rWPi4/Z2K9a8CQ+ez+6o6hoO7lEy1smp85pVXjUBnk2g4n1W19FI0Yxy17a7njqWPUdbpIsJjYVdFOYfrsE8RxpCaQZbNypN5Pvc9sgWvvhgeuh39+WgV2S94R+MSTz0FLOVz9exCC+16rICHOxPs3BGa5F2anIDHRnlhCVnP5hI7N21lHjSeDvLTZkQnTSpUzx2BqMUUdO6luc7I0fzioG2hQUt8iewqB9RQXLEXOMpb3HOVvjWMrYDZ0usgb6qmaQKZOCER6KWWeFh4OooC5y/ANm+88AGnFE3ttxxJY+GbY8QeIN6pGJntNBUgvIdHVSDxuqtudEQ3qXihvYl91J1ctz2V/Tefo72D9fnjmW7D4KlVaOl2kFahSz+odiI3/zZoiO3uqAr3c6judZNmsmDpr1fsdSxQbJuRVb3Dn8wtwDQbO2cJqmwGO1nfT1N0/WmDlxDPKpioaAVEk8Z1jmo/C4rcG3hdpf7pR+z4Hjj5BXUcfMHqxvK7DedaKpMA09dSdzfirWubZE7i4LJtnjzbS2jvA+9YX8b9vWUymzcrFi4Yfl51ipbm7n33VHXxgU8nYO7AXqT6Lym2w6ROTO8gg/XQHJiCSAn5eddJuBHXDEvEer2c4+PIFZM42urwddJp6OLHjRyTkn+ZfTfE89W/XkJR+90A3XukNvkOUUqMvAEu1plKWNFqpcWSwlmpNxWq2TuptAqX0mZ+WSNVIn6TzP6MCsVd/oUwy13900vsAhuwM+lJKaOlpoiRr4kHQgmwbyfFm9ld3cM3aQqpa+zjT0suN543zmRqHUKV3ABfd8QJlDhuXLXFw2WIHte19fG3L4aEVNdegN+zVzOlmy95aul1uHtldw+unWocnSHEJ8L4H4M/vhkf+Cz7wMMy/dPiJr98FtlxYdg3tvQOGjUEB9qTA705aUhzZKVaqzUWTCOpqqJdLZ4XxuA+tVDkzxGXOI6f6KZ5v7WKpn4R3fPsJdWMqQd1UcSyh6PgznKofWzxCedS1MmixYZmoqEv6PErbDlEZxKtuZ0UbpRmJJNRthwWXTex1Ac77H/jLZnj6a+rvP71t8u0V9mIEUnnVjeOrNxGcAx6+seUQCx02fva+1VgtIxboBnrhkY9Ccha8667pL+MrXDcklrK2OJ0XypvpdLqHRNDqOl0Up5mhtXF2SfWHg71Eneurt1PXEbwvPJy2mZeONwMECeqehnkXR74XLdIYCpgEu45Fq5/Oh2Mp7LmP5Wn9HOwcfT3MtydC/Q4VWPoyimcROqiLIiNVLes6XDy4s5qSjET+9OELA0y9R06QfvzUMX774imuXlvA+Quyxt5RyYVwYmv4Kn3+DPXT3Raw+VAQkRS3xz0s9DGipLG8pRFrznF+VG7Fmuug8+Sf6ax6mK7+LrrdIUpxMu3QdZiEnkrMifEMyBzS4uwU2AoCetCGes6swyqNqdZU4kwzo5RZkplExcjSHyHgbXeosqX//K9S9Fo0hRKKNiVNXilzgCZKMyfeb2g2CVYUprGvRmVdXzqhLiQXT6GfDkKX3n3+ijJMQvD8sSbufuUMv3/pNEKoj6U/4a5mTie+72q/sfI6qpTGalPB3L3vgL/dADf+U6mhNR6G0y8MmY0/uO0U/YNebjq/NOh+yhw2jrbnsqbvWTX5ig9jXAcHMPc1Uy8z2TiLgjrNzGDLXYBFeGmrr4AValLc2z9ItquSfqsNqy1n7BeIJo5lmPGQ0ldNS08/WbbgC2j1nU7yRSvelEkIJmXMI+f4s1S1BJpkSSnZVdnO9fP64WQzFE+g9NJHbzMgVPkYTM2D1K4Wz+ZZWiIqlvKL505Q0+7k7zdvGh3QATz5ZeXRddPjkJwZsf2GTeF61eff08TaEiWCsq962MutrsPJBnsPtMrYK78UQmXrqraTb78h6OJmOCXyL5Y3sSQvNdCepvWUWszd9KlIHnH0yD5HqVD6E81+Oh+GWMpX1nr52LYQlgoHf6GCP0t4SYm5hA7qokgwVUuAQa8MCOiCccvlZfznYD1fe+wQT95y0djlcqUXKIWr5mPD6kBj0O/pHw7ITj5NZ1ICnVZB56E/0dnfSXNfO40JJ0iMg+uecA89tm8w9GqjCROW1EQqeuwUWuLJ9MJ8x5pAyXz/DFrjUdIe/QQpH/ond53K42fPHudvH37rrBTQGElJZjJbDwcpLzVb4D33qNXdhz8MH3ly8un/ttOQlMmZnjhjn5MrV1xVZOdP2yroH/Tw8vFmCuyJzM+amiDNeKV3H7toPl0uN9tOtPCp+/cEfY2wRICmkbAUaJMy4EOPwZ/eCve9ExJSoacREJCYzqDHy19er+D8BZmck5s6eicosZSdNQ5uEEDLCSUBPh7d9Qgk9WSQP0vKLzUzR6JjPgDOplOAKtM63dzLQlFHX9oCrDMpsGBcf84RVRxv6CZrYaigzsVFohVz+vyJ7yO9lHjZT5yrmS6Xm1Sjr/B0Sy9tvQNclnhSPa4kTJEUf577LqpDyo/JepAaSqUrkjo5GaFM3bGGLv74ymmuX1eo+n5Hcvgx1WN/4RdUxmcmKNqgftfsYtW8t2ASsKeynUsWZSOlpL7DSVlOjBmP+1O0CY78k2+8xc7nnxwYdd0Y9Hqpae8L2WLQ7XKzu7Kdj1004rN/4hn1O1ZKUh1LYPe9gSJ90eyn898vcEFaCz+65vzR85DV+fD0flhydnrr6KAuioSWHB6tWDWShDgzP9i8gg/evZ3fvHCSL7wlsKRGSonL41IBlz2PzgQrnQfvpbNofVDp/I7+jqF+M5dnxP5zsuH4XwCl1JhoScFkjcMa7yA3KZdF6YtGlzT6B2rWNKymJBZ/fSsff3MZn+v6GOCAi34U+h+s3K1OBhnzqdrZSm5qQkwEdKC86tp6BwJKSoaw2uCGh+CPb4b7r4ePPze5C1frKaOfTmUESyaRqQNYXWhnwOPlYE0nr51s4d1rCiJiGzFe6V1qQhxXrcijIEZUEsOSBwdIyYENN8NTt0GP7z4JW7/KocZB6joL+Pa7QosSlDls3DeQC1aUrUE4QZ2hElgvM2eNUIpm5hCGsbVsrxzadqq5hwtMtZgcbw31tOkhqwwpzCwy1XCsoZvzFwavMqnrcFJoasVsn0Tg4aeAWdXax3KjomSX4Rd2jvsQJGVOzp9qql59/qTmg8lCmbWNFyOQqfN6lbpfamIct70tyOJtRxU8fovqjX/TV6e8v0mTtwpMFqjZie2cq1iUkzLUV9flGqR3wENJXId67ESUT2cLRl/dW1MrcF2zMSCouGZtAfe9VsG1v32N+z6yIeji3munWhn0yuCll5llQ7Yds57sxUoBs6Ny+Jij3U8HkJytvt9NR9j8rk+Onod0VClbiLOwnw50UBdVctMSqO8cQ3IYFZz1untDepktX36C/zv2CIc9iQzSG1qpMS8Hav6jfoB4U3xAP1mhrZDlmctHC4A8823S4lJIe8+9pFnTSLIk8fuXT3P7k8e49wNXhN1TB5Bli6epu1/VWvvkqkPRXqG+/Cl5VLdXU5Qxuyb5Y+ELsKpa+4JnXFPzVKnePVfCH69QJRtddRNTk2s7A6UXUtnSR5bNis06ua+qT1b8nlfP0Dvg4eKyyCiMhkusqCSG6hPMCPb5f/3XBFvNL9h9J4Xpv+fyJaHL3xY6UqiUuUhhRoTbV9dVB0CvNSdmFj40USStCC8m4ruHPeWq6+rIFp0MFkxS+TJSWKyIrDJWNNfy5BgKmM3tXWTQNbkFryGvuiYq/YK6nRXtZCTHk9K4U5VeTmbxaqpeff6YzJBWSIlspjoCBuQP7Khib1UHP71+1ejrsmcQ/vFxlSW59o/KJ2+miEtUAjO+vrqSdJ7Yp0zIfcbjecLweY218ktQKsdxSVC9nc1vu2ZUUPGOlfnceM92rvvd69x903o2zAtUmn6xvBmb1cK5JX7+fAO9qhdtOkVtpoqvX6253C+oi3I/HajvdfaS0aWfPoZEUlZH7xhmMTqoixDBlBozHYdoMTUjzH0IUx/C7MQc58SeLXjXlp+HpdSYYE7AkpzA/gYbK/PymJc2byggC1BqfOMPpNbtJ+3jL5KWYCfBnDB+RsbZAbVHVT+dbbi34eAERVJ8OFISaOpyQXoO1AYvuxuivUKVp5jMVLf1cd6CGaj9nySlhmhJRWtv6DLanKWw7qPw6s+Gt4Xbn+F2QleNytSV91I6ydJLgO2nWzEJ+M9BVS7a3tc/zjMiS6yoJAYLPoWA9r4Bnj3SyJv9/OZCrdpnepq56bxSzKbQ37uFDhtuLHQmFmFvCTOoM/Y3W4zHNTOMOY6ueAeprjqklAghcNUpaxyL45wZPjjAsYQlbW/ws8bQQZ273QicJhMspRUhhYliUyOVbcO9zbsq2ri8wIOoqoD1H5/468LUvfpGYi8mp7WJjj73KAuKidDU7eLHTx3j/AWZXO1/7jzwkGFBYbyf6z46OzI9heth7/3gGWRtcToPbK/iRFPPkJ1BpqdZmY6H01M82zDHQcG5qtQwCItzU/jHJ8/nxnt28MG7t/Or96/hymW5gFrEf/l4M+cvyAw0Kz/zCnj6oeyK6fgPIsNIBczp6Kfz4VgC+x8MriNRvx+EWc3BzkJ0UDdJbt9xOweaDwRk1uTI1XsLJKjvMtITj0nayLWlk5eWRVp8YaAASJBAzafU+MjuGv734f1cvnQ5H9gYQrmwuRqObgVXL9jG8YfzEcSfDpRIyspxev6CkZNqpbGrH4rzVMO5xx16xdDwqOsf9NDQ5RplZzCb8R1rZRCfpAAOPTJ6Wzj9GX52BpWtfVwQooRpPLbsreWrjx3C31Luu08cJTHOMq1BVSyoJAYLPj992QL+vqOaT96/m9984NxhI/EQq/n1ZHL9+qJR2/3JssVjT4qj1lKEfQKZuh6RPGuMxzUzjzO5kHxXE809/ThSEjC1Gr5s2ZMoOYw0jqXkHH6MmsZmvF6JKcgih7nbZzw+ifOCJR6RWsiirmZeMmwNmrpdVLT28Y3SKvWYyfTTwdS9+kZiL8FepzIKNe1OluRNLqj73r+O0u/28v3Ny4cXaw88NDoA3f8AFG+aedPlwvXKGqL5KGuLVZC5p6odr6GaldrfEJullz6KNsK2n0F/j2q5GEFhehKPfOJ8PnLvTj7519384OoVvH9DMaeae6jtcPKpN42wqzrxNMQlT/5zOxMk2pV9RdMx9fd09NP5cCyBgW71HbWPuObW7VP3z3YF0Sihg7pJIqVUZY0phUHl83/yZA01LZLHPnEFhfbMKSk1Xru2gEf31HD7k8e4YkkOjtQgfTW+L1LlNshaGN4LV2xTnigF5w5t6uxzU9nax/Xrxp6cBiMnNYHDdV2QkgtI6GkKXV7RXgEF51Lb7kRKKJqFvmWhSIq3kJNqpSKIT1IAk+3PMOwMXKmlNHQ1TTpTF5b4h2aIYMHn21fkc+M9O/jU/bv59Q1recuy3KCr+X0ynldLPsX1I3ssRyCEoMxh43h3PsvaXh974cNHVy0NcvYYj2tmAfYSitqeo7rNSUZSPGm9Zxi0xGOxT82uJCI41Ap5gbuK6va+Uf3Avf2DpA00Gcbjk5zYZ5Qyv7eJPxvn4N2GP91K7xGIt6kSuckyRa++AOwlJPQ3Y2WA6rY+luQFF1AaixfLm3hifx2ff/Mi5mf7BRDPfTcwoIPJi7pEmiET8p3MO3c56Ulx7Klsx5FqxWwSWPvqlY9grFK8CaQHanfD/EuCPiQjOZ4HPr6RT92/h9sePcjLx5t57ZQqO/3lcydIjjcWV6WEk88omxzL5O2WZoTsxSpTB9PTT+fDJwjYfCwwqJMS6vfNfvP2KGIa/yGaYNy28TZ+d8XvuOPiO/japq/xP2v+hw8t/RDvWvAuOlvLOHQ6nS+/+RLmZeROWXpfCMEPrl5B/6CX7zxxJPiDMhdCskOZkIdLxStG/fPwZPFQ3cRMx/1xpCbQ0tOPJ9kwyg5lQO7sAFcHpJcO+b0VT6HEcCYoyUweP1MXasIyXhldq7IzqBYqzVsySbXKsMU/NCFJS4zjLx/dwNL8ND79wB6lerryenjnL5VtBYIuay5fcX+MNW+/OazXXOiwsbsvB7yDQwH8WHg7a6nxZMw6cRnNzBGfPY8c0UFtcxtVbX3Mp5aelFLVxzXTGBOuxaZqjgXpq6vvdA4bj6dOwtIAIH0e+bJh6Pqxs6KdhDgTma271TXNPEvWqw1Rm0LRPClbA+eAh2/88xDzs5P5xKUj1BIjKeoSadJLISkLanYhhGBtcTp7qtqp73CRm5qA6KyJzX46H4XrAQHV28d8WFK8hf+7cR3rSuw8eaiBTqdqtWns6ue2Rw+yZW+tEszqqIKyGFG99MexBJqPK9G76ein85FtlJk3jZgPdzeoKrGzVCQFdFAXcXr6B/nhf46yoiBtUtmuUMzLSuazly3k3wfree5o4+gHCKFS95WvjjYGC4bPn670ooDNB2unENSlWPFK6LAY5YI9IYK6DkO1Lb106EIXS5k6UAqY42bqLv9m8BNcYsboFVZ/2k5DYganuuOG9jUZQgUBOjiYGKkJKrBblp/Gp+/fw1OHjMDu84dwf6ONt8jf0L5gM2U5KWG93kJHCvtcxsJHGCWYyng8g9xgGXrNWUlKrqrG6Ko/zcmmHhaKWmTmLCi9BEgvRVoSWSyqKQ8S1Cnj8RbcCZmTnwBmzCPF00FnZxv9gx52VbZxfoEFU9OR2VXCZtgaLIxro3oStga/fP4E1W1Ofnj1itGedMkhyvJng02AEGqCX70DUGIpp5p7OdrQzbwUqfqvZsNxTpZEuwpoQvTV+RNnNlEXRDDPVzXDiafVhoUx1E/nI/scGHRC4yHVyzYdpZeg7IVsuaPFUoZEUnRQp4kQv3r+BI1d/Xzn3cvGFEyYDDdfvIBFOTa++c/D9PYHEVcpvVCpTvqCprEI0k+3ZW8tv3hW9Wa841fb1CrSBPAZaTZKu9rQXR/8gb6esfRSqtv6iLeYcKTEVtlBb/8gzd39zPvKv7ng9ueDv1cjMjqkFcHqG6DhINx/narHD0bbKaOfbmp2BrdeuZjEEWqJs1F5MhbwBXYrCtP4nwf28J0nDnHB7c9T9rUnaehycU5ueAEdKFuDU9LIUIwnljI4gMUwHs/T5Zcag/gs1afU33KaioZWCkULiTOtfOnDZEY4zmFVfF3QoE4Zj7chJ2M87sNna0Ajxxt6OFzXxTvsVYCcnOl4tDCCumVJndRMMFNX3tDN/718muvOLWTTSE+6/h7weoARc4ypiLpEmsJ10HoC+tpYU2wH4Gh9F+ckG5+JWO6pA9VXV7PTGIexqQ9hY1XX4VRBnWPp6N6wWMBXBrnrnunrp/Pfd9CgTkDO8uk7jlmGDuoiyKnmHu7Zdobrzi1kbXH6+E+YIPEWEz+6ZgW1HU42/PDZ0QFFyQXqdzglmCP66bbsrTXU/7wA1HY4h8sDwiQnVQVmtQMpIEyhyy+HgroSqtv6KExPDNpMP1vZsreWp4+obKlknPfKyOjw7Q71e/Nv4erfQ+Vr8JfNyk9lJG1nIHMBFa19ZCTHj/bCC5PNawr40TUrKLAnIoACeyI/umaF7qebJCkJcfz5IxsosCfwp1crAywQ/vpGZdjflYUOG04S6EnIU6UrY9Gt7AzqySBPZ1g1Pny9cx2VdNcexSQkCblBvMtmCsdSykQ1xxq6Rt1V1+EiT7RiyZhCT1V6KQBFookt+2rxeCXrTMfAFKeCidmCLRfM8ZRZW6kJ09Zgy95azr/9Oa78+ct4pRyypQngue+qa8fFtwYuGr7zlzPfT+fD11tVu4dVhXZ8l/iF8cY1L5YzdaD66vq7Qkvr+xGqOmZhmoTK12NL9dIfnxfkgYemr5/Oh2OpqnTxeoe31e9TxxREvOZsQQd1EUJKybcfP0xCnJkvvTV6stLVbU7MJkFvv2d0QJF9jirtqwwnqAvspxtLVCNchjJ1PW7V3zdWpi4xAxLSqGrriynlS1DvldsTWOI6ofdq1Xvh+vvUqtK974Se5uH73C7VE2Fk6kqm2Gu4eU0Br37lMs7c/nZe/cplOqCbIikJcQx4Rpc3O93esMc/Ly2B5HgzDfHFqtF7LDr9jMd1+aXGhy0Ht4gjsadmuIQ3exZl4B1LsHva6GxtwDXiulLf6aTA1IppKpP6Ia+6Rv65rxaTgILOfZC/Znap3plMkFZEkWihuq0POU5rhG9xtc7I7Hgl/ODfRwMXjKreUMqSGz4Ol30tcNFwtgR0AAVr1eJuzU6eOdKIyVDtPHbcCIJiuacOVKYOoHr8EsxQVTPfX9kKXnfsCnuceFrZB7h7AQFHn5i+fTuM0s+OiuFt9fvP6tJL0EFdxHj6SCOvnGjh829eRHYUSwnv3FqOxxsioDCZVD9BxbaxXyRIP10kRDUyk+MxCZRXXUoudAfp/YMhOwOA6ra+mOuni4gAyZJ3wvsfhNaT8Ke3Dje3t1cAEjIWUNnaR+kkSy810aMhSH8EhD/+QggWOmyc8OZDy4nAlcaRDBmPO0iMnwUiGJrZgclEd0I+6QP1JHWdwotJiWXNFgwFzIVUc6o5sMy8o70VG86pZWoS0pCJGSywNNPSM8DKHCvm+r1QMotKL32kl5DjbaB3wEN7n3vMh/74qWNjL666XfDP/1FZucu/Fa0jjgzWFHAspfHoNm579CCDxrwlfbAJrxT889QY571YIL0UbDlQNbZYCoSumtno2Q3W1OEAMZbwWWpI4/Pq6Vd/H3hoevZvnGOGMqU9zar9SAd1mqnicnv43r+OsDgnhRvPi66k9LgBRemFqqduLAWsIP10kRDVsJhNZNkMr7qUvLHLL9NL6exz0+UajLlMXcQESBZeDh96TFk/3PM2eP0uuPftAMitX2Vd9zNTztRpIk8kxn+hI4V9TodaaQzieTdElzYe1wSn31ZEoWii2FtNT1Lh7JJDNyZci4KIpXiGjMen9plutxZQINU1Jq3tgMp4FM8ikRQf9mJS+1XVSqgSTK9X8tCuaurHWzB66XbVp/bOn8dGiVnhOhKb9uJyDwez+bTSSDp3PDO+8u+sRggVjIWRqYMgVTOr8+GEYWUwnq3NbGQsS43pwFeZ4FPAbNAiKaCDuojwu5dOUdPu5NvvWobFHN23dNwJpU/5a6y+uiD+dLdeuRgxoq1tMqIaOakJNHb7MnVByi+9HuiohvSSITnqohgL6oKVUgC859xJTFJKzoObHoe+Vtj6NehTPjait4kfWf7IBX0vTPVwNREmEgI0ZTmGrQEoSetQaONxTQhEeglFopmFoo7B9LKZPpxAUnKRCXaWmGsDgjopJRajT3QqQhlb9tbyelsKRTQBsNJzGK8U/LtjFnqf2Uuw9reRhIvqttGLsvurO7jmt6/xpUcOEGcO3lueb0+Eur3w6i9h9QfVgmAsULieVHqZL4bnAnmilXqZMTesdSxWZUfwbTv8bPnEslSNh1XPdKyWXs60pYY1RXkd+szP6/ap33lT8KicA+igbopUt/Xx2xdP8Y6VeZy3IHP8J0yRcSeUOcvBmjZ2X10Qf7q3LMsBCTarZUqiGjmpVpq6+lVQ19cCgwOBD+iqUyuq6aVUt/uCulnUAxEGI0spctMSyLLF86dXK4IKA4xL/hp1ghpBkhhgVfkvpn7AmogSCQGahdk2Tkrj8WPZGnTWqn46rXypGUG1zMYuelkg6vh3fcqE1YqjihCInGWsiqsN8KrrdLrJ9Bo9xFMov7xzazmnvQ4KRAsWBllvKqdcFvLDF0JUh8wkhgJmgWgZuuYBtPT08+VHDrD5N69S0+7k/123ijuuWRn0+v6lK+apssvkbLjy+9N6+FPCEM5YazoxtClftFIns2LfWufAQ3DkceMPqSouJlJ+OGRlEIP+dDCGD+80CuD4K2DW74eM+ZAwcTuuucQsceiMXb73ryOYhOBrb58e5THfxPHOreXUdjixmETghNJkVtmfUEGdr5/u0tsCNu+ubEcCd92whksXOyZ9fI7UBPZVd6igDqC3KfBL7mdnUFUdm5k6UOPgP4mvbuvjut+9zofu3sE/PnH+xM3Ue4L3H8b11k3lMDVRYuT4T5SyHBsdpOCKzyBhDFsDZTyeTr4O6jR+bNlbywvHYL0ZLMLL/v4c/v3oQYDZI4bkWMK86r9RXj+80OXzqPMKMybfNWIS1HU4qTI7sAgvxaKJtaYTPOq5aHZmfwyl0iJTM7c/eYw/v17BxtIMnj3WhHPAw8cvms9nLltISoIqwRMmwZ1by6nrcJJvT+TWKxfz7q77lRfY+x6AxMgra0eNzDIG4lJZ5z3Fw55LAUm+aOVF1sW+tc5z31V9ZP74yg/DEaw58QzkroTUvOgcX7S5/JsqiPUvwZxuSw3HOXDqefC4VVBXsHb69j1L0Zm6SbBlby0X3P48pV/5N08faeTyJdnkpU3fqpOvNvvLbz2HQa/kwrIRJqQlFygBjmA9bUH66QC2n27DbBKsK51amVdOSgItPQMMJhulZSOPYYRHnT0pjtSEGKwnH0FRRhJ/+egG3B4vH7x7uxKLmQizYdVLM20UpidhtZhotBaPmamTPuPxaTy/aGY/d24t59Tg8Hn/pLdgwmrFUcexhERvL6K7jk5DIKS+00meaGUwKUctQE6SfHsilV51jXmraSc24WKnd/GszP48WRMPQKFRKlrX4eKxfXXkpyXw1Ocu5qtXLRkK6CBI71VBF7x0Byy7Bs55+4z8D5PGZCK+eD1vtddQYE8kk24ShJt1K+eAtc5Uyg+dHVC9PXZLLyG4D+90W2o4lqrKr9o9SkviLO+nAx3UTRif5LC/R9WzR5tmpPRl03wVgG0/3RZ4R6nhVxcsWxeknw5gx5k2luenYrNOLXnr86prMxmlqCP76torlARuamFM2hmMRVlOCvf+1wZaevq58Z4dQxOZsLj8m6OkuF1YEbPFSFYTUcwmwfxsG6dlgQrqgkmdD/ZjdrZo43HNKOo6nCwXZ4b+/k3cz3mXadvsylQ5lgGw2FQ1VJZe1+kin7YpL1bdeuVimiwqw3Gt+WUADpiXzcrsz/dfbMEp4ykULQHbe/oHWegYR+zE61Fll9YUuOrOKB5lFClcT1r3CV79/Hp2f1ZVNK1ctmyGDyoCTGUh9vQLSjUyVv3pfIz04Z1uS41swz7swIPqtw7qdFA3UYL5ubkm4FEVSZYXpJEcb+aN062Bd+SugnhbcLGUIP10LreHfdUdbJw/9Z7AIa86r1HXHCxTZy8Cs4WadmfM2RmMx+oiO3/40DpON/fykft20jcwGN4TR6x6NYhsHsz939nlO6SJKGUOGwf6c8DVAb3Nox9g2Bk0kKGDOk0AN9l28M24vwz9nW9q4/a4P3KTbccMHtUIHGrCtVjUUN6o+urqO5wUmFqwpBdN6aU3ryngc1dfTD9xLDDVUyty+Pw1l8zK7E9dp4samU2RaArc3hFGNccbv4XaXfC2OyA5a/zHz0YK14P0qmyKL4uVOvvGacIEWYgFYPUN4z/3xDOQYIeCdRE/rLOK7MWAgEOPqr9zdVCng7oJEhGPsggRZzaxrjRjdFBntiip3ZGZuiD+dAB7qzoY8HjZOG/qCnsOI1NX67apjFywoC69FI9XUtPeF5P9dONxYVkWv3jfavZWtXPNb17j/B89x7yv/JsLbn9+7Iyuseo18PU2znf9gtb5756+g9ZMO2UOGzt7jTLlYCWYRlBXp4VSNCP4UtzfSRKBIlRJYoAvxf19ho4oCInpyNQClvuJpTR09JEr2jBFwKJjs+V1rCaV4S6wdLPZPIY42AySb0+kRmZRKJpHbQ/KgYeUkuK37fD011Xf1Yr3RP9Ao0WhURVUs1P5iIGxeBnjjCw/TMmHZAe8dtfYXsFerwrqFl6u5mqayROXqMRRXB1qHJKjL1Y429FB3QSJmEdZhNg0P5MTTT209Ixo2C29AJqPQa9fyUeofrozrQjBlPvpABwpavLZ1ONWxpxBM3UlNHa5cHvknCq/9OdtK/K47txCjjV0U9fpQgK1HU5ue/TguKW6Ne19eCWUaOPxOc1Ch42T3nz1RzCxFGMC1BOfQ1K8vvhrhklyBld5DLV9phCOJSy31HLcCOp62hqIZ3Dqk3qf8bHXqIRw902v8fEEuPXKxdSLHIr8grqQFii+/6uzGpDqp+U4HHx42o434iSmQ9YiqNmlMnVma+xmHUfiX374xaPwiW2qEumv74FTIeyIGvYrAblY7qebLRx4aGjxk96WWfn9n250UDdBIuFRFUlC9tWVGIFb5WvD20L0020/3cbSvFTSEqcuWJKZHI/ZJGjsCuJV19+jbA7SS/086mZfY3uk2HayddS2cMQMKlvVe1OqjcfnNGU5NhrIwG1JhuYgXnWdPuPx/Gk+Ms2sJ1aElRxLKPRUc7KxAyklsjMyxuMzbnw8ATavKWDl8hXYRS+p9I1tgRLs/xp0zcr/a0IUrleZus4aNfYjTXHnCik5cNO/VPbogffCiWdHP+bEs4CABTHiNThb8S2ADBrfl0HnrF3YmU50UDdBIuFRFUlC9tXlrwFLYmAJZpB+uv5BD3uq2tkQgdJLAJNJ4Eix0ujzqvOX6u+oVL/9grq5mqmDyZfqVrT2AlCapTN1c5mSzGQsJhMt1hKVVR+JYTyebo8hCXPN9BCsn2e65cTDwbGMODlARn8ttR1O4nuNRb6p9lTNtPHxBFm+bAUABz63RClahpovxNj/FTaF69SCbuVrc6Ofbixs2fDhf6l+rwffD+VPBt5/4mk1P7Nlz8zxzRViaGFnOtFB3SQYJTk8g83ZIfvqLPFQtGFYLCVEP92Bmk76B71snBe5WmRHakLwTJ2fnUFNWx8mMXNlq9NBqP9tvP6oytY+bFYLmcnx0TgszSwhzmyiNCuZM6JAlViNpMtnPD53vyOaSTIb5MTDwaHUDheLal472YpDGu0AUy2/jJVMpQ/Dq25oYXMk7RXw2CdRJZdBmK3/V7gYJuT0NMyNfrrxSMqAmx6HnOXw9w/CkX+q7b2tKmOpSy+nzlxdAJkiOqibA4Tuq7tQGZY628fwp1PBYKQydQA5KVaauvohJQ/6WmHQOC5/4/G2PvLSEokzz92PYLBSXQCvVwZYYoykorWXkswkxFwtUdEMUeawcXjAWPxwdQbcp43HNWMy03Li4ZC9GClMLDZV80J5E/miFY/Jqia9UyFWMpU+hoK6qsDtXfXwry/Ar9bBoX/AwitUhY0/s/n/CpfGw4BxPTv2r7OjRC4xHW7cotpdHv4v+M//wl3rAAm77zk73oNoEmsLO9PE3J1Rn0X4+up2nBnZV3c+IKHy9dD9dGfaWJyTQkYEs0I5qQk0dhuZOhguwWyvAGsaJKZT3e6c0/10ELxU91NvWkCf28PVv36VQ7WdQZ9X2dpHqRZJOStY6LCxs9eh/mg5EXCfMh7XypeaGCYuEZExn1Xx9bxyokUZj9vyp95TFSuZSh+nngMEPPUVpWy5827Y+jX45WrYcx+s/RDcsg8++Ai8K4b+r3A48BD863MMZSH7u86e3qeENPjgP1SP3Y7/A6cxR+tpOnveg2gRaws700TUJNWEEEXAn4FcwAv8QUr5CyHEauB3QAIwCHxKSjmLzHViD/++uqtW5A3fUbBOKU1Vvhq0n87t8bK7sp33nBvZlY2cVCsdfW7cSQ7iALobwV5s2BmUgBBUtfXxpsVzv6Z885qCUeW5m1cX8OF7dvDe37/Orz+wlksXO4buG/R4qW7r423Lc6f7UDUzwEKHjSd8CpjN5ar3BMDtwuxspU5mskmXX2piGccSlnTupadvkPz4VoQ9QtebldfHRrDjE3TwBTWd1fDvL6jbq26AS78M6aXDj4+V/ytcxup9mkv/ZyisKUqddSRn03sQDXzv23PfNQR4ClVAd5a/n9HM1A0CX5RSLgE2AZ8WQiwF7gC+I6VcDXzT+FszBeLMJs4N1lcXl6AmicefCtpPd6i2k74BT0T76UD11AG0CqPExtdXZ3jUOQc8NHf3z2mRlLFYlJPCY5++gJLMZD563y7+vnO4JKeuw8WgV+pM3VlCmSOFaunAY4oLFEvp9jMet+tMnSaGcSzFMViHlQEKRCtxGWdBT5U/wYIaAFsuXP3bwIBuLqJ7n4Zl90dyNr0H0SAWStCnmagFdVLKeinlHuN2N3AUKEAtV6UaD0sDQnzaNRNh0/wMjjcG6atLSIfWk4CEnX8MSPdvN8o1I9lPB6r8EqBR2tWG7gZluNleCekl1LT77AzOzqAO1Hv00CfO44KFWXz5Hwf56dPlSCmHlC9LtJ3BWcH87GS8wkx7QnGgWIq/8XiqDuo0MYxjKSa8nCOqyKaDew+6x/XqnFOEmrj7K0PPZXTvk34PNNPGtPTUCSFKgTXAduBzwJ1CiGrgJ8BtIZ5zsxBilxBiV3Nzc7CHaPzYNF9l2wL66g48BCefGf67N7COe/vpVhZkJ5OdYo3oseSkqterHUgGk0Vl6noawdM/wqPu7A5cbFYLd9+0jveuK+KXz5/kut+9xmf+tgeAWx7cd3ZNfM5SEuLMFGckUWUqVOWXPjp9xuMOkq3aeFwTuzzbqq5NF5sOYBKSYy47tz168Ow5v53tE3rd+6TfA820EfWgTghhA/4BfE5K2QV8Evi8lLII+Dxwd7DnSSn/IKVcJ6Vcl50993uvpsqKgjSSRvrVPfddFUj5Y9Rxe7ySXRXtbJwf2dJLgJwUI1PXPQC2HBXQ+SlfVvuCuvSzO6gDVTp7+7UruGp5LrsqO+h0DgLQ0OU6uyY+ZzFlDhtH3HlK7tztUhu71LiLqZo0azQzzHdfddEv43iTeR8A9TIDp9vDnVvLx37iXOFsn9DHmqhNNNDvgWaaiOoSsBAiDhXQ3S+lfNTYfBNwi3H7YeCP0TyGs4WgfnVj1LIfqeuiu3+QjREuvQSwJ8URbzYNG5B31/sFdfOoOuokMc5Mlk37sAEIIdhfM1oJ0zfxmUkfRE30WeCwseuEgw9avKpUOnc5dNXSLWyk2+0zfXgazZSo7hzgZHw+q8UpAGplFgB1Y9i6zCm0oMPcE3+ZDPo90EwDUcvUCWWydTdwVEr5U7+76oBLjNuXASdGPlczOUb11Y1R9rH9jAr+Ii2SAipIyU6x0tTlUl513Q1GUKdWqKrb+yjKSNQ+bH6EmuCcNROfs5gyRwrHPIYCZouRveiqo15mkqftDDQxTr49kXJZhEko9cd6mTm0/axBCzpoNJppIJrllxcAHwIuE0LsM36uAj4O/D8hxH7gh8DNUTyGs4pRfXVjlH28cbqNksykqHlg5aRalVedLWc4U5dWCJZ4qtv6zlrly1CEmuCcVROfs5SFDhtnZC4S01BfnbezhhpPOnnazkAT49x65WLOiGIAOmUSfSSQGGfm1isXz/CRaTQazdwimuqX26SUQkq5Ukq52vj5j7H9XCnlKinlRinl7mgdw9nGqL66EHXc3uXXsbOiLSqllz5yUhOM8ss8cLarDER6KVJKqtv6KNT9dAHceuViEuPMAdv0xOfsYKHDRj/xdCXkDwV1skMbj2vmBpvXFPDOMiWelUofbyTcwp/XV+qyco1Go4kwWlZtDhG0ry5IHXd5fRedTndUSi995KQmsO1ki+qpA+WTt/r9tPUO0Dvg0Zm6EfgmOHduLaeuw0m+PZFbr1ysJz5nATarhfy0BGosRaS1HFfG46426mUGG3VQp4l1DjzEosq/ASAE5NJM7sFvQWm6LkPUaDSaCKKDujnGpvkZ3PFUOS09/WTZglsVbDeCvo3zo5epc6Ra6XYN4kp0kAAgPWAvpbpd9YjpoG40m9cU6CDuLGWBw8ax5nyWte6GzmoAo6dOl19qYpznvguDrsBthgqzDuo0Go0mckyLT51m+gjqVzeC7WfaKLAnRrUE0mdr0CrShzdqjzqNJihljhR29TnAMwCVrwJQhy6/1MwBxlBh1mg0Gk3k0EHdHCOoX50fUkp2nGmLapYOVPklQKMMDOqGPOoydAZCo/FRlmPjqDtP/XHqeQC647OxaeNxTaxztptvazQazTShg7o5RtC+Oj9ONvXQ2jvApij204FSvwSQJ58b3vjwjWSe2kKWLZ6keD1Z1Wh8LHTYOCUNW4PTLwFgStWluJo5wNluvq3RaDTThA7q5iCj/Or8eMMoy4x2ps6RmsC7TNtYufdbwxu76ri69g5uSNwe1X1rNLHGwmwb3STRG58Nrg66RIo2HtfMDUKoMOt+Oo1Go4ksOl0yB/Hvq7tqRV7AfdtPt5KTao26UElqgoUvxz1EnDewQd4q+/mw88/A16O6f40mlkhPjifLZqUurpiygWZtPK6ZWwRRYdZoNBpNZNGZujlIqL46KSXbz7SxcV4mQoioHoMQgjwRvAQ0fbApqvvWaGKRhY5kega8ACySFXz1+HVw4KEZPiqNRqPRaDSxgA7q5iBxZhPnlqSz/XSgAmZFax/N3f1RL7300WrKDrq9LzF3Wvav0cQS11peZ5n7AKD8vFL7G+CJz+rATqPRaDQazbjooG6Osml+JuWN3bT69dUN+dNFWSTFx78cH8dFoFden4yndu2t07J/jSaWeFvTH4jHE7jR5+el0Wg0Go1GMwY6qJujBPOr236mjSyblQXZydNyDNUF7+Ab3o8PNcj3JuTxFffHSFr3/mnZv0YTSyS7GoLfof28NBqNRqPRjIMO6uYoKwvTSIwb7quTUrL9dCsb52VEvZ/OR06qlYcHzqfnU/vg2x38evUW/sNF5KVpjzqNZiTelBAWBtrPS6PRaDQazTjooG6Oovzq0nnD6KuraXdS1+matn468DMg71IKmFVtfRSkJ2I2TU9QqdHEEqYrvoWT+MCN2s9Lo9FoNBpNGOigbg7j31f3xjT30wE4DANyX1BX3e6kKD26VgoaTawiVl7P71JvocabhVf7eWk0Go1Go5kA2qduDuPfV7f9TBvpSXGUOWzTtn9fpq6pS4m1VLf1ceUyrXyp0YRie/Ll/KJpDQAFCYnc6lnM5pk9JI1Go9FoNDGAztTNYfz76rafaWV9aQamaSx9HArqul309A/S1jtAUYbup9NogrFlby27q9qH/q7tcHLbowfZsrd2Bo9Ko9FoNBpNLKCDujmMr6/uP4caqG5zsnH+9JVeAtisFpLjzTR29VPd1gdAcYYuv9RognHn1nLcHhmwzen2cOfW8hk6Io1Go9FoNLGCDurmOKkJFpq7Vfnj7146Ne2r/jmpCTR2uajSQZ1GMyZ1Hc4JbddoNBqNRqPxoYO6OcyWvbU8e7Rp6O/m7v5pL+dypFpp8svUaaEUjSY4+fbgpcmhtms0Go1Go9H40EHdHObOreX0D3oDtk13OVdOagKN3S6q2/pIsVqwJ8VN2741mlji1isXkxhnDtiWGGfm1isXz9ARaTQajUajiRW0+uUcZjaUc/mXXxZmJE2b8blGE2tsXqPMx+/cWk5dh5N8eyK3Xrl4aLtGo9FoNBpNKHRQN4fJtydSGySAm85yLkeKFZfby+G6LtYU26dtvxpNLLJ5TYEO4jQajUaj0UwYXX45h5kN5VyOIVuDft1Pp9FoNBqNRqPRRAGdqZvDzIZyrpwU69Dt4kwd1Gk0Go1Go9FoNJFGB3VznJku5/IZkAMUaTsDjUaj0Wg0Go0m4ujyS01U2XGmdej2lx85MO0+eRqNRqPRaDQazVxHB3WaqLFlby3fevzI0N9NM+CTp9FoNBqNRqPRzHV0UKeJGnduLcfp9gRsm26fPI1Go9FoNBqNZq4TtaBOCFEkhHhBCHFUCHFYCHGL332fEUKUG9vviNYxaGaW2eCTp9FoNBqNRqPRzHWiKZQyCHxRSrlHCJEC7BZCPAPkAO8GVkop+4UQjigeg2YGmQ0+eRqNRqPRaDQazVwnapk6KWW9lHKPcbsbOAoUAJ8EbpdS9hv3NUXrGDQzy2zwydNoNBqNRqPRaOY609JTJ4QoBdYA24FFwEVCiO1CiJeEEOtDPOdmIcQuIcSu5ubm6ThMTYTZvKaAH12zggJ7IgIosCfyo2tWzKjFgkaj0Wg0Go1GM9cQUsro7kAIG/AS8AMp5aNCiEPA88AtwHrg78B8OcaBrFu3Tu7atSuqx6nRaDQajUaj0Wg0sxUhxG4p5bpg90U1UyeEiAP+AdwvpXzU2FwDPCoVOwAvkBXN49BoNBqNRqPRaDSauUo01S8FcDdwVEr5U7+7tgCXGY9ZBMQDLdE6Do1Go9FoNBqNRqOZy0RT/fIC4EPAQSHEPmPbV4F7gHuMMswB4KaxSi81Go1Go9FoNBqNRhOaqAV1UsptgAhx9wejtV+NRqPRaDQajUajOZuYFvVLjUaj0Wg0Go1Go9FEBx3UaTQajUaj0Wg0Gk0Mo4M6jUaj0Wg0Go1Go4lhdFCn0Wg0Go1Go9FoNDFM1M3HI4EQohmonOnjCEIW2o4hVtBjFTvosYot9HjFDnqsYgc9VrGDHqvYYS6MVYmUMjvYHTER1M1WhBC7Qrm6a2YXeqxiBz1WsYUer9hBj1XsoMcqdtBjFTvM9bHS5ZcajUaj0Wg0Go1GE8PooE6j0Wg0Go1Go9FoYhgd1E2NP8z0AWjCRo9V7KDHKrbQ4xU76LGKHfRYxQ56rGKHOT1WuqdOo9FoNBqNRqPRaGIYnanTaDQajUaj0Wg0mhhGB3V+CCHuEUI0CSEO+W1bJYR4XQhxUAjxhBAi1dheKoRwCiH2GT+/83vOucbjTwohfimEEDPx/8x1JjJexn0rjfsOG/cnGNv1eEWZCX63PuD3vdonhPAKIVYb9+mxijITHKs4IcR9xvajQojb/J6jxyrKTHCs4oUQfzK27xdCXOr3HD1WUUYIUSSEeMH4nhwWQtxibM8QQjwjhDhh/E73e85txpiUCyGu9NuuxyuKTHSshBCZxuN7hBB3jXgtPVZRZBJjdYUQYrcxJruFEJf5vVbsj5WUUv8YP8DFwFrgkN+2ncAlxu2PAN8zbpf6P27E6+wAzgME8CTwtpn+3+bizwTHywIcAFYZf2cCZj1es2+sRjxvBXDa7289VrNorIAbgAeN20lABVCqx2pWjtWngT8Ztx3AbsCkx2raxioPWGvcTgGOA0uBO4CvGNu/AvzYuL0U2A9YgXnAKX3NmrVjlQxcCHwCuGvEa+mxml1jtQbIN24vB2rn0ljpTJ0fUsqXgbYRmxcDLxu3nwGuHes1hBB5QKqU8nWpPiV/BjZH+FA1THi83gIckFLuN57bKqX06PGaHqbw3Xo/8DfQ363pYoJjJYFkIYQFSAQGgC49VtPDBMdqKfCc8bwmoANYp8dqepBS1ksp9xi3u4GjQAHwbuA+42H3Mfzevxu1YNIvpTwDnAQ26PGKPhMdKyllr5RyG+Dyfx09VtFnEmO1V0pZZ2w/DCQIIaxzZax0UDc+h4B3GbevA4r87psnhNgrhHhJCHGRsa0AqPF7TI2xTTM9hBqvRYAUQmwVQuwRQnzJ2K7Ha+YY67vl470YQR16rGaSUGP1CNAL1ANVwE+klG3osZpJQo3VfuDdQgiLEGIecK5xnx6raUYIUYrKGGwHcqSU9aAmqKgsKqgxqPZ7mm9c9HhNI2GOVSj0WE0jkxira4G9Usp+5shY6aBufD4CfFoIsRuV2h0wttcDxVLKNcAXgAeM3oVgNbhaYnT6CDVeFlR5xAeM31cLIS5Hj9dMEmqsABBCbAT6pJS+fiE9VjNHqLHaAHiAfFSJ2BeFEPPRYzWThBqre1ATlV3Az4HXgEH0WE0rQggb8A/gc1LKrrEeGmSbHGO7JsJMYKxCvkSQbXqsosBEx0oIsQz4MfDfvk1BHhZzY2WZ6QOY7Ugpj6FK9xBCLALebmzvB/qN27uFEKdQ2aAaoNDvJQqBOjTTQqjxQo3LS1LKFuO+/6B6Uf6KHq8ZYYyx8vE+hrN0oL9bM8YYY3UD8JSU0g00CSFeBdYBr6DHakYY45o1CHze9zghxGvACaAdPVbTghAiDjXxvF9K+aixuVEIkSelrDdKwJqM7TUEVi/4xkWfB6eBCY5VKPRYTQMTHSshRCHwGHCjlPKUsXlOjJXO1I2DEMJh/DYBXwd+Z/ydLYQwG7fnA2UoQYd6oFsIsclQzrkR+OeMHPxZSKjxArYCK4UQSUb/zyXAET1eM8cYY+Xbdh3woG+bHquZY4yxqgIuE4pkYBNwTI/VzDHGNSvJGCOEEFcAg1JKfQ6cJoz39m7gqJTyp353PQ7cZNy+ieH3/nHgfUa/zzzUHGOHHq/oM4mxCooeq+gz0bESQtiBfwO3SSlf9T14zozVTCu1zKYfVFagHnCjovaPAreg1HSOA7czbNh+LarJcj+wB3in3+usQ/U1nALu8j1H/8zceBmP/6AxZoeAO/R4zeqxuhR4I8jr6LGaRWMF2ICHje/VEeBWPVazdqxKgXKUkMCzQIkeq2kdqwtR5VwHgH3Gz1UoJebnUFnT54AMv+d8zRiTcvyU+PR4zcqxqkCJFvUY38Wleqxm31ihFrp6/R67D3DMlbHynew1Go1Go9FoNBqNRhOD6PJLjUaj0Wg0Go1Go4lhdFCn0Wg0Go1Go9FoNDGMDuo0Go1Go9FoNBqNJobRQZ1Go9FoNBqNRqPRxDA6qNNoNBqNRqPRaDSaGEYHdRqNRqPRaDQajUYTw+igTqPRaDSaCCKEMM/0MWg0Go3m7EIHdRqNRqM5axFCfE8IcYvf3z8QQnxWCHGrEGKnEOKAEOI7fvdvEULsFkIcFkLc7Le9RwjxXSHEduC8af43NBqNRnOWo4M6jUaj0ZzN3A3cBCCEMAHvAxqBMmADsBo4VwhxsfH4j0gpzwXWAZ8VQmQa25OBQ1LKjVLKbdN4/BqNRqPRYJnpA9BoNBqNZqaQUlYIIVqFEGuAHGAvsB54i3EbwIYK8l5GBXJXG9uLjO2tgAf4x3Qeu0aj0Wg0PnRQp9FoNJqznT8CHwZygXuAy4EfSSl/7/8gIcSlwJuB86SUfUKIF4EE426XlNIzTcer0Wg0Gk0AuvxSo9FoNGc7jwFvRWXotho/HxFC2ACEEAVCCAeQBrQbAd05wKaZOmCNRqPRaPzRmTqNRqPRnNVIKQeEEC8AHUa27WkhxBLgdSEEQA/wQeAp4BNCiANAOfDGTB2zRqPRaDT+CCnlTB+DRqPRaDQzhiGQsge4Tkp5YqaPR6PRaDSaiaLLLzUajUZz1iKEWAqcBJ7TAZ1Go9FoYhWdqdNoNBqNRqPRaDSaGEZn6jQajUaj0Wg0Go0mhtFBnUaj0Wg0Go1Go9HEMDqo02g0Go1Go9FoNJoYRgd1Go1Go9FoNBqNRhPD6KBOo9FoNBqNRqPRaGIYHdRpNBqNRqPRaDQaTQzz/wGMnfQ1Y/OveQAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(15,5))\n", "tx_bm.plot.line(marker='o')\n", "tx_bm_detr.plot.line(marker='o')\n", "trend.plot.line()\n", "plt.legend(['full','detrended','trend line'])\n", "plt.title('Removing linear trend in annual maxima');\n", "plt.ylabel('temperature (degC)');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Estimating the probability density function (PDF)\n", "The PDF is interpreted as \"in a given year, a the temperature will have a value $\\ell$ contined in a bin ($\\ell$,$\\ell+d\\ell$) with probability $p \\, d\\ell$\", where $p$ is the PDF.\n", "\n", "The PDF for a given dataset can be estimated 2 ways:\n", "1. parametrically: assume the data follows a given distribution function, and fit the parameters\n", "2. non-parametrically: compute a histogram\n", "\n", "Exercise: \n", "\n", "Apply both these approaches to the annual block maxima:\n", "1. Use [stats.genextreme.fit](https://docs.scipy.org/doc/scipy/reference/generated/scipy.stats.genextreme.html) to fit a generalized extreme value (GEV) distribution to the block maxima, leaving out the extreme data point for 2021\n", "2. Generate a \"frozen\" random variate object by calling stats.genextreme with the fitted parameters: rv = stats.genextreme(params)\n", "3. Compute the PDF using rv.pdf\n", "4. Compare to histogram, computed using the xarray .plot.hist function " ] }, { "cell_type": "code", "execution_count": 91, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.44344893039383315 30.16768201460574 1.8451298419501154\n" ] } ], "source": [ "# fit a GEV distribution\n", "shape, location, scale = stats.genextreme.fit( tx_bm.sel(year=slice('1950','2020')) )\n", "print(shape, location, scale)\n", "\n", "# produce \"frozen\" random variate for the fitted distribution\n", "rv = stats.genextreme(shape, location, scale)\n", "\n", "# set up a dummy tx axis called tx_p which spans from the 0.001 percentile to the 0.999 percentile of the fitted distribution\n", "tx_min = rv.ppf(0.0001)\n", "tx_max = rv.ppf(0.9999)\n", "tx_p = np.linspace(tx_min, tx_max, 100)\n", "\n", "# compute the PDF\n", "p = rv.pdf(tx_p)" ] }, { "cell_type": "code", "execution_count": 92, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "tx_bm.plot.hist(bins=10, density=True)\n", "plt.plot(tx_p, p)\n", "plt.ylabel('$p$')\n", "plt.xlabel('$\\ell$',fontsize=14);" ] }, { "cell_type": "markdown", "metadata": { "hide_input": true }, "source": [ "## Estimating the cumulative distribution function (CDF)\n", "The CDF is just the integral of the PDF. It can be interpreted as \"in a given year, the temperature will stay below level $\\ell$ with probability $P(\\ell)$\", where $P$ is the CDF.\n", "\n", "Alternatively, once can consider the function $1-P$ (sometimes called the survival function); then interpretation is \"in a given year, the temperature will *exceed* $\\ell$ with probability $1-P(\\ell)$\"\n", "\n", "Again, the CDF can be estimated parametrically (via a fit, as above), or non-parametrically directly from the data.\n", "\n", "The simplest non-parametric estimator for the CDF is to rank the data points in ascending order and assume that the CDF increases by 1/N for each data point, where N is total number of years in sample. More accurate assumptions are described [here](https://edx.hydrolearn.org/courses/course-v1:HydroLearn+HydroLearn410+2019_S2/courseware/cd43c81fa55944d4ad7d5bd9aabc8837/6bdb39cb4f1847a4afeab59c37706570/3?activate_block_id=block-v1%3AHydroLearn%2BHydroLearn410%2B2019_S2%2Btype%40vertical%2Bblock%40a03085271bac412ebbcc7a25e12b081a).\n", "\n", "Exercise: \n", "1. Use the .sortby function to rank the annual block maxima in ascending order\n", "2. Create a P array which increases from just above 0 to just below 1 in N even steps, as described in the link above\n", "3. Plot the two against one another; this is the non-parametric CDF\n", "4. Compute and plot the parametric CDF using rv.cdf with the \"frozen\" rv computed in the previous exercise" ] }, { "cell_type": "code", "execution_count": 93, "metadata": {}, "outputs": [], "source": [ "# Non-parametric CDF estimator\n", "N = len(tx_bm) # number of data points\n", "tx_np = tx_bm.sortby(tx_bm, ascending=True) \n", "a = 0.5 # this is the Hazen estimator\n", "P_np = (np.linspace(1, N, N) - a)/ (N + 1 - 2*a)\n", "\n", "# Parametric estimator\n", "P_p = rv.cdf(tx_p)" ] }, { "cell_type": "code", "execution_count": 94, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig,axes = plt.subplots(1,2,figsize=(15,5))\n", "\n", "ax=axes[0]\n", "ax.plot(tx_np, P_np, 'k.')\n", "ax.plot(tx_p, P_p)\n", "ax.set_xlabel('$\\ell$',fontsize=14)\n", "ax.set_ylabel('$P(\\ell$)',fontsize=14)\n", "ax.set_title('CDF')\n", "\n", "ax=axes[1]\n", "ax.plot(tx_np, 1 - P_np, 'k.')\n", "ax.plot(tx_p, 1 - P_p)\n", "ax.set_xlabel('$\\ell$',fontsize=14)\n", "ax.set_ylabel('$1-P(\\ell$)',fontsize=14)\n", "ax.set_title('1 - CDF');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Return level plot\n", "\n", "The return period $r$ is defined as the number of years you expect to wait in order to see the temperature exceeding a certain level $\\ell$.\n", "\n", "You can also think of return period as the number of years you need to wait in order for the probability of exceeding $\\ell$ to be just equal to 1, assuming all years are independent:\n", "\n", "$r \\ (1-P(\\ell)) = 1$\n", "\n", "so\n", "\n", "$ r = \\frac{1}{1-P(\\ell)}$\n", "\n", "A return level plot is just a modified form of the 1-CDF plot, with the temperatures plotted on the y axis (instead of the x axis) and with $r = 1/(1-P)$ on the x axis.\n", "\n", "Exercise: \n", "\n", "Plot the parametric and non-parametric return level estimators. Use a logarithmic x axis." ] }, { "cell_type": "code", "execution_count": 95, "metadata": {}, "outputs": [], "source": [ "# non-parametric return periods\n", "r_np = 1 / (1 - P_np)\n", "\n", "# parametric return periods\n", "r_p = 1 / (1 - P_p)" ] }, { "cell_type": "code", "execution_count": 96, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(7.5,5))\n", "plt.semilogx(r_np, tx_np, 'k.')\n", "plt.semilogx(r_p, tx_p)\n", "plt.ylabel('$\\ell$',fontsize=14)\n", "plt.xlabel('return period (years)');\n", "plt.title('Return level plot');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Bootstrap method to determine uncertainty in fit\n", "\n", "Exercise: To get an estimate of the uncertainty in the estimates, do the following:\n", "1. Generate 1000 synthetic data samples by resampling the block maxima with replacement (use the np.random.choice function)\n", "2. Fit a GEV to each of the samples\n", "3. For each fit, compute the return level for a given set of return periods\n", "4. Compute the upper and lower percentiles for the return levels at each return period" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "def bootstrap_ci(original_sample):\n", "\n", " Nsamples = 1000 # no. of samples in bootstrap\n", " Nrp = 50 # no. of return periods \n", "\n", " r = np.linspace(10, 1000, Nrp) # the return periods at which to compute confidence interval\n", " P = 1 - 1/r # the corresponding probabilities\n", "\n", " data = np.zeros((Nrp, Nsamples)) # array to hold bootstrap samples\n", " for i in range(Nsamples):\n", " sample = np.random.choice(original_sample, size=len(original_sample), replace=True) # resample with replacement\n", " rv = stats.genextreme( *stats.genextreme.fit(sample) ) # fit GEV to new sample \n", " data[:,i] = rv.ppf(P) # get quantiles for given probs\n", " ci = np.percentile(data, (2.5, 97.5), axis=1) # 95% confidence interval\n", " return r, ci" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [], "source": [ "# perform bootstrap \n", "r_boot, ci = bootstrap_ci(tx_bm[:-1])" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAdcAAAFQCAYAAADtMTShAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjQuMywgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/MnkTPAAAACXBIWXMAAAsTAAALEwEAmpwYAAA/gUlEQVR4nO3deXxcdb3/8dcnk5msTdJs3TfK3gKtlKUgEFkUle2Kel1BFKuo/MSL4q5wvV7cxQWXqlzAnR0vVxSsBEQD2CIgiMjShbaUpkmTNOskM5/fH+ckmaRJmrTTmSzv5+Mxjzlz1u/Mmck73+/5nnPM3REREZH0ycl2AURERCYbhauIiEiaKVxFRETSTOEqIiKSZgpXERGRNFO4ioiIpJnCVbLGzBaamZtZ7n7ezgYzO30vl3UzOzDdZdrDNp8ys5oRptea2cWZK9HUYmZvN7N7MrSt683svzKxrT2Uo8bMNme7HJOJwnWSCYOkw8xazWxb+OMtHuWy+qO9l8zsXWb2YDrW5e5L3L02XO+VZvazfSzbxWb2XPid+J2ZzU6ZdqWZdYfTeh8HhNNyzexXZtZkZneb2bSU5T5tZh/Zl3JlylgDzN1/7u6vHuW607bfZXJRuE5OZ7t7MbAMWA58MhMb3d81UBk7MzsF+G/gXKAcWA/8ctBsv3b34pTHC+H4NwAOVAItwPvCdS4Czga+k4G3sE/MLJLtMsjUpHCdxNx9G/B7gpAFwMyON7O/hLWRx3ubH83si8BJwHfD2st3h2q2Ta3dhv+1/9nMvmlmjcCVYS3hWjP7PzPbZWYPm9ni0ZTXzErN7Cdm9pKZbTGz/zKziJnlheVdmjJvVVhDrw5fn2Vmj4Xz/cXMjhzlNq83sx+Y2b1hee83swUjlO9GM6s3s41m9hkzyzGzw4AfACvDz65piGVfZWZ/T3n9BzN7JOX1g2Z2Xji8wcxON7MzgU8B/x6u9/GUVS4IP/tdZnaPmVUO8xbPBm5296fcPQ58ATh5lPtkEVDr7j3AfcAB4fhvAx8Nxw9rcHN8ai085bt1oZltMrMdZvbplHkjZvYpM3s+fI/rzGxeOO3QcH81mtkzZvbmlOWuN7Pvm9lvzawNeA/wduCK8DP833C+T6Ss+x9m9m8p6xhQGw3L+X4ze9bMdobfbxtqv5vZMWb28qDfzPlm9tgIH1XlcN8/MzvBzP5qZs3h8wlp+nwLws9qp5n9Azhm0L77ePgb3BV+xqeNUH4ZgsJ1EjOzucBrgefC13OA/wP+i6AW81HgVjOrcvdPA38CPhTWXj40ys0cB7wAVANfDMe9FbgKmB5u+4tDL7qbG4Ae4ECCGvergYvdvQu4LVxvrzcD97v7djN7BXAdQc2qAvgh8Bszyxvldt9OEDqVwGPAz4eZ7ztAKUHInAJcAFzk7k8D7wfqws+ubIhl64ADzawy/MO7FJhrZtPMrAA4muDz7+PuvyOodfbWLI9Kmfw24CKCzz1GsC+HYuEj9TXh9nudHQbVU2Z2Scr4J4FTzSwGvAp4KgyhHe6erqbQVwKHAKcBnwsDC+A/CPb364AS4N1Au5kVAfcCvyB4728FvmdmS1LW+TaC79w04EaC/fmV8DM8O5zneYJ/JksJvqs/M7NZI5TzLIIAOorgu/eaofa7u/8VaADOSFn2HcBPR1j3kN8/Mysn+L1+m+B7/Q3g/8ysYoR1DTbc5/t5YHH4eA1wYe8CZnYI8CHgGHefFk7fMIZtCgrXyeoOM9sFvAhsJ/ghQfAj/627/9bdk+5+L7CW4A/Y3trq7t9x9x537wjH3ebuj4Q1m5+TUnMejpnNIPhH4DJ3b3P37cA3gbeEs/yCgeH6tnAcwHuBH7r7w+6ecPcbgC7g+FG+h/9z9wfCEP80QU1k3qDyRYB/Bz7p7rvcfQPwdeCdo9mAu3cSfNYnAyuAJ4AHgRPDcj7r7g2jLC/A/7j7v8LP/CaG/4x/C7zZzI4MQ/xzBE29heH0m4DDgCqCz/FzZvbWlGXXh+VuBn5F8F36uJl90cweMLPvheG7t65y9w53fxx4nCC8AC4GPuPuz3jg8fDzOQvY4O7/E37nHgVuBd6Yss473f3P4Xe8c6iNuvvN7r41nOfXwLPAsSOU80vu3uTumwhq8ctGmPcGgt9ab0C+hv7v6lCG+/69nuB78dPwvf4S+CdBa8RoDff5vhn4ors3uvuLBAHeKwHkAYebWdTdN7j782PYpqBwnazOC//jrAEOJfiPGGAB8Kaw+arJgubLVwIj/ce+Jy8OMW5bynA7MJoOVQuAKPBSStl+SFA7AfgjUGBmx4XNZsuA21OWvXzQ+5oHzGZ0+t6Du7cCjUMsW0lQQ9yYMm4jMGeU2wC4n2CfnBwO1xLUgE8JX4/FqD5jd19DEIi3huXdAOwCNofT/xGGTMLd/wJ8izCowlD7hLsf6e6rgE8QNIOuCB+nEHwm7x5j2UfzPuYR1C4HWwAcN2hfvx2YmTLPUN/JAczsAus/jNBEUJMfrml9pHIO5WcErQHFBCH2J3d/aYT5h/v+zWbg9w3G/p0brtyzGfg59W3H3Z8DLgOuBLZb0KlttL8lCSlcJzF3vx+4HvhaOOpF4Kdh81Xvo8jdv9S7yKBVtIXPhSnjZg6aJ123VXqRoLZZmVK2EndfEr6XJEEt660Etda73H1XyrJfHPS+CsP/9Eejr5Ya/kEsB7YOmmcH0E3wx73XfGBLODyaz2FwuN7PnsN1nz9fd7/W3Q9y92qCkM0laPIdbns2eKQFx7tPAFYDRwDrPLil1l+B4Y5vtzHyd2ckLxI0WQ41/v5B+7rY3VObswd/ZgNeh/+c/Yig6bMibMZ/kiHe9yjstn/cfQvBYYB/I2jZGKlJGIb//m1l4PcNBn7n9uXzfSl1u+F6+7j7L9z9leH2HfjyGNYtKFyngmuAM8xsGf3/Ub/Ggg4j+Rac3zY3nPdl+jut4O71BD/kd4Tzv5uh/+Dts/A/+3uAr5tZiQUdhRZb0Nu11y8ImmbfzsBmth8B7w9rtWZmRWb2eks5dWQPXmdmrwybN78APBw2laWWL0EQ7l8Mj5MuIDgu2HuazMsEx1BHaiL9C8Hxr2OBR9z9KcKaGPDAMMu8DCw0s736rYb7eGn4ucwnCMdvufvOcPq5ZjY9nH4s8P+AOwetw4BrgQ+H/+SsB3o/r1MIjrkP5THgLWYWNbMVDGy63ZMfA18ws4PCsh0ZHmu8CzjYzN4ZrjdqQSeiw0ZY14DvNVBEEBj14fu7iIHHoMdiuP1+I3AFwT8it++21EDDff9+S/Be32bBaVH/DhxO8BnAvn2+NwGfDPf9XODS3glmdoiZnRr2WegEOgiaimUMFK6TXBiQNwKfDX+w5xL0QK0nqAV8jP7vwbeAN1rQg7D3GMx7w3kagCUEAbG/XEDQzPgPYCdwCylN1u7+MMF/67OBu1PGrw3L+d1wueeAd41hu78gaDptJOhY9PZh5rs03P4LBMdLf0HQkQqCZuungG1mtmOohd29DXgU6O25C0ENZ2N4jHkoN4fPDWb26KjfUb/8sJytwCPh9j6bMv0tBJ/XLoLvyZfDY9apLgKeDD9nCDqXbSX4DvV2IBvKZwn+GdtJ0GlopOOOg32DIADuITgN6CdAQdha8eqw3FsJmj2/THCMcDg/ITh+2GRmd7j7PwiOl9cRhOMRwJ/HULZUw+332wn+cbo93O8jGfL7l3KM+XKC398VwFnu3rudffl8ryJoCl5P8Bmn1q7zgC8RtNZsIzg086kxrFsAc90sXaYwM7se2Ozun8l2WWRyMbPngfe5+x+yXRbJPNVcRUTSzMzOJ2h6/mO2yyLZoSvqiIikkZnVEhwbfWd4jFqmIDULi4iIpJmahUVERNJswjYLV1ZW+sKFC7NdDBERmaLWrVu3w92rhpqWlXANLyW3Ftji7meFlwj7NbCQ4Aoyb+49D284CxcuZO3atSPNIiIist+Y2eAraPXJVrPwh4GnU15/Aljj7gcBa8LXIiIiE1LGwzW8GsjrCa7A0utcgotdEz6fl+FiiYiIpE02aq7XEFxpJLWL+ozeC1uHz9VDLIeZrTKztWa2tr6+fr8XVEREZG9kNFzN7Cxgu7uv25vl3X21u69w9xVVVUMeQxYREcm6THdoOhE4x8xeR3DN0xIz+xnwspnNcveXLLhh8XDXWRURERn3MlpzdfdPuvtcd19IcOHtP7r7O4DfABeGs13IoLtyiIiITCTj5SISXyK4LdqzwBnhaxERkQkpaxeRcPdaoDYcbgBOy1ZZRERE0mm81FxFREQmDYWriMg+qqur4+qrr6auri7bRZFxYsJeW1hEZDyoq6vjtNNOIx6PE4vFWLNmDStXrsx2sSTLVHMVEdkHtbW1xONxEokE8Xic2trabBdJxgGFq4jIPqipqSEWixGJRIjFYtTU1GS7SDIOqFlYRGQfrFy5kjVr1lBbW0tNTY2ahAVQuIqI7LOVK1cqVGUANQuLiIikmcJVREQkzRSuIiIiaaZwFRERSTOFq4iISJopXEVERNJM4SoiIpJmClcREZE0U7iKiIikmcJVREQkzRSuIiIiaaZwFRERSTOFq4iISJopXEVERNJM4SoiIpJmClcREZE0U7iKiIikWUbD1czyzewRM3vczJ4ys6vC8cvM7CEze8zM1prZsZksl4iISDrlZnh7XcCp7t5qZlHgQTO7G/hP4Cp3v9vMXgd8BajJcNlERETSIqPh6u4OtIYvo+HDw0dJOL4U2JrJcomIiKRTpmuumFkEWAccCFzr7g+b2WXA783sawRN1ScMs+wqYBXA/PnzM1NgERGRMcp4hyZ3T7j7MmAucKyZLQUuAT7i7vOAjwA/GWbZ1e6+wt1XVFVVZazMIiIiY5G13sLu3gTUAmcCFwK3hZNuBtShSUREJqxM9xauMrOycLgAOB34J8Ex1lPC2U4Fns1kuURERNIp08dcZwE3hMddc4Cb3P0uM2sCvmVmuUAn4XFVERGRiSjTvYWfAJYPMf5B4OhMlkVERGR/0RWaRERE0kzhKiIikmYKVxERkTRTuIqIiKSZwlVERCTNFK4iIiJppnAVERFJM4WriIhImilcRURE0kzhKiIikmYKVxERkTRTuIqIiKSZwlVERCTNFK4iIiJppnAVERFJM4WriIhImilcRURE0kzhKiIikmYKVxERkTRTuIqIiKSZwlVERCTNFK4iIiJppnAVERFJM4WriIhImmU0XM0s38weMbPHzewpM7sqZdqlZvZMOP4rmSyXiIhIOuVmeHtdwKnu3mpmUeBBM7sbKADOBY509y4zq85wuURERNImo+Hq7g60hi+j4cOBS4AvuXtXON/2TJZLREQknTJ+zNXMImb2GLAduNfdHwYOBk4ys4fN7H4zO2aYZVeZ2VozW1tfX5/BUouIiIxexsPV3RPuvgyYCxxrZksJatDTgeOBjwE3mZkNsexqd1/h7iuqqqoyWWwREZFRy1pvYXdvAmqBM4HNwG0eeARIApXZKpuIiMi+yHRv4SozKwuHC4DTgX8CdwCnhuMPBmLAjkyWTUREJF0y3Vt4FnCDmUUIgv0md7/LzGLAdWb2JBAHLgw7P4mIiEw4me4t/ASwfIjxceAdmSyLiIjI/qIrNImIiKSZwlVERCTNFK4iIiJppnAVERFJM4WriIhImilcRURE0kzhKiIikmYKVxERkTRTuIqIiKSZwlVERCTNFK4iIiJppnAVERFJM4WriIhImmX6lnMiIiJpl0gm2Nm1k4aOBho6G2juaqa1u5W2eFvw3N3W9/jYMR9jZtHM/VoehauIiIxL7k5bdxs7OnZQ31FPQ0cDOzp29D86d/SNa+xsJOnJIddjGIXRQoqiRRRHi2nvad/vZVe4iohIRrk7rd2t1LfXs71je/Dcvr0vROvb6/uGO3o6dls+NyeXivwKqgqqmFE4gyUVSyjPL6eyoJKKggoq8isoyyujOFbMtNg0CnILyLHMHgVVuIqIyD7pTnbT3NVMU2cTTV1NNMebaelqCYa7mmnqCsbv7Nw5YmgW5hZSVVhFZUElSyqWUFlYSWVBJVUFwbje4dK8UswsC+909BSuIiLSx91p7mqmvqO+LxBTn5u6mtjZtbMvSJu6mmjrbht2fbmWS2leKWV5ZVQUVLCkYglVhVVUFVRRVVhFdWE1lQWVVBdWUxQtyuA73b8UriIik1hnT2dfOO7s2klzV3P/Ix48t3S10BxvprGzkZfbXqYz0TnkuoqiRZTllTE9bzpl+WUsKl1EWV5ZX3j2Dve+Ls0rpTC3cNzXMvcHhauIyATTk+yhqaupr2ds7zHLl9tfZnv7dho6GmjsbKSxs3HEzjsFuQX9gRgr5dDyQ6mZW8OMohlUFVQxPX860/On9wVqNBLN4Luc2BSuIiJZ1tvBpzcse58bOxtp7GjsO8VkZ9dOGjsbae5qHnI9pXmlQTNrfiXzSuYxPW865fnllOeXBzXL/LIBYaqw3H8UriIi+0lPsofGzkbqO+rZ0R72hA1PKalvr2dH5w52tAenlcST8d2WNyyoNeYHIXlQ2UFMz59ORX5FEJoF5UzPm86MwhlUFVaRn5ufhXcpQ1G4ioiMQeq5lw2d/eddDj4Hc3v7dnZ27Rzy3MuyvLK+3q9HzziaioIKKgsqKc8v7zuVpKIgOJ0kN0d/pici7TURkVB3opvtHdvZ3j7w0Xssc3t7cE7mUB1+IhbpC8WqwioOrzi8rxds7ykkVYVVVORXqDl2CshouJpZPvAAkBdu+xZ3/3zK9I8CXwWq3H1HJssmIpNXIpmgsbNxwAULtrdvp76jvi8w6zvqaexs3G3ZWE6M6sJqqgurWVqxlKp5wWkkvbXN3gsXlOWVZfxCBVOJu9PVkwwfCbq6g+HO7kT/uJ5kOL53ONG/TMrwB2oWU12yf5vQM11z7QJOdfdWM4sCD5rZ3e7+kJnNA84ANmW4TCIyQbk7LfGWvoAcXOvsHdfQ0UDCEwOWNSyoURZWMatoFkdWHUlVYXDFn94wrS6onhAXLMiUnkRyyIDrDbPO7t3H9YZaZ2roDVp2wLQB8/WHZ7xn6EsbjpYZ5OdGyIvm8Lbj5k+ucHV3B1rDl9Hw4eHrbwJXAHdmskwikl51dXXU1tZSU1PDypUr93o9PckednTsYFvbNra1bRvQNNtb6xyuibY0r7Tv0niLyxZTXVjd1+mnurC6r+Y5GY9nJpNOZ0+Ctq4EHfEEbfEe2uMJ2gc/dyUGvG6L94TzJ+iI9wTLdydo6wrGd3Qn6En6ngswgtwcIz8aIS83J3gMGi7Oy6WiKAjAYHyE/GjwHMzTPzzsenqXGTQuGrGM/pOU8W+WmUWAdcCBwLXu/rCZnQNscffHR3rzZrYKWAUwf/78TBRXRMagrq6O0047jXg8TiwWY82aNUMGbNKTNHQ0BMHZvm1AgPYO13fU79YZKD+SH4RjYRVLK5dSXVDdX8sMx1cVTKxes/GeJLs6u2nt6mFXZw8tnd3s6uyhtbOH9ngPbfEwBLt6aO8On+OJQYE5cHgsYrk5FMUiFMZyKYxFKMzLpTAaYXZZlIJYLkWxCAWxCAXRyG6BNiD4cvtDsX++/lCMRXLIjUydZvOMh6u7J4BlZlYG3G5mRwKfBl49imVXA6sBVqxYsW//QolI2tXW1hKPx/GoY9XGz+p+xvqy9X0B+nLby7zcHjx6kj0Dls2L5DGzaCYzC2dy3KzjguGimcwonNH3XBIrGTdNtL3HAHvDMHj0B+OQ47v6h1vC8V2jbO4siEYoyguCriiW2/dcUZwXBmBuGJJhQKYG5qDhorxg+cJoZEoFXiZZ0FKbpY2bfR5IApcCvZcRmQtsBY51923DLbtixQpfu3bt/i+kiOymvbudra1b2dq2lS2tW9iyawtb27byzLZnWN+wnkhxZMD80Zxof0gWzWBm4cy+8OwN1Gwd2+zsTtDc0U1TezdN7XGaOrppbu9mZzjc1N5Nc0c8fO7uC8vWrh66E3v++1kUizAtP8q0/NzwEaU4P5eScHhaXjC+OGWekvwoxXm5FIUhWRCNkJMzPv6pkH5mts7dVww1LdO9hauAbndvMrMC4HTgy+5enTLPBmCFeguLZE9nTydb27YGAdq6lc2tm9naurUvRAf3qs2L5DG7eDbzKuexKH8RzS82c+whx1KzvIZZxbMozy/f7z1pexJJGtvjNLbFw6DsD8vUgNzZ3h+UTe3ddHQP34yam2OUFcYoK4xSVhBlZkk+B1b3h2Tvc0l+LsV5ubuHaF4uEYXilJTpZuFZwA3hcdcc4CZ3vyvDZRCZ8uKJOC+1vcSW1i1BaLZu6Xtsbd3Kjo6B/9tGc6LMLp7N7KLZnFpxKnOK5zCneA6zi2czp3gOFfkVaa91JpJOU3uchrY4Da1xGtq6wuc4Da1dNKaODwN1ONFIGJIFUcoKo8wrL+SIcLg/PIPn0nD89MIYhbHIuGmGlokl072FnwCW72GehZkpjcjk1p3sZvOuzWxo3sCGlvDRvIHNrZupb6/H6W/SzLVcZhbNZE7xHE6eezKzi2YzZ1oYoEWzqSqsSkvNM5F0Gtq62N7SRf2uLrbv6gyGW7v6QrOhNah9NrbHGeqolRlML4xRXhSjoijGITOnUVGUR0Vx8Lq8KI/phVFKw+CcXhilIKqQlMyafP3QRaaYnZ07Wd+8vi8817esD0J012Z6vL/T0LTINA6qOIiVs1YGNc9pQXDOKZ5DdWE1kZzICFsZWbwnSX1rF9tbOtm+q4vtu7qoTxnuDdGGtjiJIU7nKMnPpbI4CMgDqoo4ZlE5FWF4VhTn9T2XFwVhqU44Mt4pXEUmgO5ENy/uepH1LeuDIE2pjabeISWaE2VByQIOLDuQMxacQU99D1/4yBdoe7GN3EQuX1/z9TGfe9rZnWBbcycvNXfyUnMHLzV3hq87wnGdNLYNcdF5g4qiPKqn5VFdksfhs0qonpZPdUkwrmpafvicR35074NdZDxSuIqME+5OQ2dDf3Cm1EK3tG4ZcIWhqoIqFpYu5NULXs3CkoUsLF3IotJFzC6aPaAGevXVV7PrX7tIJBIkI0lqa2sHhGsi6bzc0snmnR1s3tneF6DbmjvZ2tTJtpahg7O0IMqs0nxmleZz1LwyZqSEZm+AVhTFVMOUKUvhKpJhXYkuNrVs6gvQviBtXs+u7l198+VF8phfMp9Dyw/lzEVnsrAkCNCFJQspjhWPalsnnXwK+RWzSRZMJ798Fg2zjuNjNz8ehGlTOy81de521Z2ywqBX7OyyApbNL2NWST6zygr6wnRmaT6FMf3pEBlJVs9z3Rc6z1XGM3dnR8cONrQEoZl6THRr29YBVx6qLqxmUcmivtpnb010VtGsUXUiaunsZlNDOxsb2tnY2MbGHcHz5p1Bs+3gY5wzSvKYU1bA3OmFzJ3e/zxnehCgCk6R0Rk357mKTDadPZ1sbNm4WzPuhpYNtHW39c2XH8lnYelCllYu5azFZw2ohRZGC0fchrvT2BZnQ0MbG3a0s7GxnU0NbWxoaGdTY/tuzbaVxTHmlxeyYsF05kwfGKKzSvN1fFMkAxSuInvg7rzc/vKQzbgvtb004JSWmUUzWViykHMWn9N/LLRkETOKZuyxFtrVk2BjQzsv1Ldy37qn+dtzW/DiKrZ35tDc0X8OpxnMLi1gQUUhr1kykwUVhSwoL2RBRRHzKwopztPPWkYhmQRPQDIx6Ll3fA8kuoNHsgc8CXjwPOARjksm+scNni+ZOn+47uTgbYfTeteZur7htjniw4cpbxJO+TiUzN6vH69+hSKh9u72IWuhG1s20t7T3jdfQW4BVZEqojujnDXvLE5ecjILSxcyf9r8IWuhdXV1XF97fd9dYpo7unlu+y7+9XIrz77cygs7Wnmhvo3NO9tJbcFN7HISLzzO6046mpVLD2dRZRCgc6cXkJer2mdWuUNPJ3R3BI+eTuhuh+5O6OmARBwSPcFzsjslpLqD8cnhHolBz+FyPV3hOuP9Ydf7GLDe3u0kBs7jyf719oYZE/OQ4JAsZ+gHFg7bwPHHXaJwFdkf4ok4t/zrlv5joS0b2NbWfylrw5hdPJuFJQt5xYxXDKiFPv/485x++unE43H+GPsjZ685m0MXHbrbNprbu7n9j3X8x1Vfw8pm8Z2/1zLj9zvZ2dn/Ry0/msMBlcUcObeU85bPYXFVEfffdTPf+eJn6elsJRKJsHjpF3jPK0/PxMcysQwOuO6OIOD6gm6o8SnjelKmdXf2h2QiPkxoxfuHe3a/zd0+swjk5KY8ciAnCrl5EIlCpPc5GozPyYXcfIgVQyQGkdxgfN/0SPCwSDDOcsL1huP6nnMGvY6E80bCbcbCecKw6p3eO4z1T7ecIaZFUgIuMrAcfeXJSZmWupylTBtqOFzvOKRwlSmnrq6OP9b+kVvm3EJebh4LSxZy9IyjyW3O5Ydf+iHtm9thJ/zwdz8c8pzQ6+6/jng8TiKRIB6Ps+a+WsoXLeWf21p4+qVd4XMLL7d0AVBy2vtIxjvpaXyRqkQD73vtCRw8o5iDqqcxp6xgtwuyV3ccxw/+O4FHIsRiMWpqajLxsexfvUHY1QrxXeFz6yhft0LXLoi3pYRhGI57IycK0UKI5kO0AHILwuFCyC8JwyS3P6Qi0f7XvdOiBUGw9a4ntyAYFy0IwzAvCLtIrH8dA9Yb6Q/IvoAZnyEhe0fhKlNK6v1G88vzueeOezjhhBOA4JzQnQ/tJJFIEIlEdjsnFKCpPU7lkhMpPe4N5JTPI1Z9ANe3LuTH1zwABNewPbB6GiceWMkhM6aR2LmZK953AZ0NW4nFoly1Zg0rVy4esYwrV65kzZo1abnheNq5B+HW3gjtDdDRGA43pgwPGt/VHISkj/I+o7kFkFcc1MjyiiE2DYpnQKwoDLOCQY/ClKBLCcoBwVnUH4IR/dmT/U/fMplSeu83mkgk6Gzs5P777+8L15qaGmKxWN+NvpcdfzL3/XM7T25p5qmtLTy5tZnNO4Pa0rSTLqTQujmoqpCVh83nsFnTOHRmCQdUFREdcOGExSyf8asxB+XKlSv3f6i6Q1fLoHBsGGY4JTgTXcOvM78UCsqhsAKKq6Hq0GBcX1hOSwnNIV7HihV+MinoPFeZUlJrrrFYjDVr1rBy5Uqa2uM8vrmZu/7ydx5+7mVaIqU0dfX/NhZVFrFkdglL55SydHYph88uobwolsV3Mgo9cdi5ARqe6380vgBt9f2hOeiG5X0sBwqm9wdlYXk43PuoSHkdDhdMVzDKlDLSea4KV5ly7n/wL9x2318pWXQkLbllPP5iExsagt7AZrC4qpgj5pSGQVrC4bNLmJYfzXKph5FMQsuWlAB9vn+4aWN4WkSosBIqFgc1yqHCsW94OuSXBZ1URGRYuoiETDl1dXV9TbGLDl/Ouo07eXTTTtZt3MlTW5vpThwIT7YzqzTJUXPLePMx81g2t4ylc0spGW9B6h7UNFNroL1B2vj8wJ6r0aIgQGcvhyPeBBUHho8DgtAUkYxQuMqkkkw6N93zIB+88ptEZh7M9158hkhJIwB5uTkcNbeM97zyAJbPL2PZvDJmlORnucQp4m0pNc/nBwZpZ1P/fDm5MH1REJqLX5USoAfCtJnqdSoyDihcZcKqq6tjzX21zD/qlXQUz+aR9Y38dUMjLZ09TKt5Dz0t9XRtfYbTq+N8/D1v5rBZJcRys9zUmeiGnRuHroXu2jpw3pK5QS106fkpAboYyhbo2KbIOKdfqEwIvc28J59yCsXzDudX9z3K9XfXEZ19KDl/agFaOKCqiNcdMYvyRCP/eWnv6S8xLv34Go6aV5a5wrpDy9ahj4Pu3DDwlJSC8iA0D6gJgrM3RMsPgNjI1xwWkfFL4SpZlXpstPfUk9Rxxx9/PDff8yCXXPktcucczve3byYnbycAOUXTaX3iXrq3/IPL3n42X7j8Y33rPWner/f/eaLtjbs33/YeB+3uv1wiuQVBYM48Apb828BaaGH5/imbiGSVegtL1gx1WgzA6a8/j5xZh1N4wCuYc/RpNIaXC+zeuZWuTX/n3OMP5Y0nH8X5rz9jt1Nq0q67Izh9Zcezu9dCOxr757MITF84MDj7joPOUs9bkUlIvYUlawbXTFNf913QIelQsZCv/u5pNvVMo/K9P8Ysh2THLsoSOzl/2Wyu/vCFfc28F39uTXqvYpTogeZNQ9dCm18cOO+02UFwHn7uwI5E0xcEl7UTEUE1V9mPBtdMr7nmGi677DLi8Th508q5+LNf59cPPEl0/lFECksx4ODyXNb9309pe34dtvNF1vzh3t1COS011O4OuOXd4YUV1gcXY++VXwoVB+1eCy0/ILiSkIgIqrlKlqReajAej/PL/72X2NLXULL4WPLmLeHO7RGqjjyFmd7ImUcW8Z7Xn0BZYYy6k0p2C9K0Xw4wNx/adgSX5zv0rIG10MJync4iIvtE4Sr7bLim3/LyCgpnH0TuomMoPOh41lcuoGwJdO/YSPu6O/n6f7yLt7/2lUQG3RUmI9fVNYOL792/2xCRKSuj4Wpm+cADQF647Vvc/fNm9lXgbCAOPA9c5O5NmSybjE1vgFZUVPQ19cZiMb75zWv42NXfDgL1kBMpf9vXMJxDKqK88fiDqOzaytN/babmPRePr7u9iIikUUaPuZqZAUXu3mpmUeBB4MNACfBHd+8xsy8DuPvHR1qXjrlmT+qxVDMjmUwSqVhA8ZJTqFh2Bt15pXgyQdfGJzjj8Cq+efm7qCzOy3axRUTSatwcc/UgyVvDl9Hw4e5+T8psDwFvzGS5ZHipTb4QHEfdtGlTEKzTqileUkPhYacQrZiLJxPMK+rmsd9cS+szdeQmu/jAZWsUrCIy5YwYrmb2A+BtwFbgz8BtwN3u/bfaMLO3AX92942j2aCZRYB1wIHAte7+8KBZ3g38ephlVwGrAObPnz+azckepDbvNjQ0DAjR1CbfSCSCmZHIzaf4sJOpftuXic0+FPckCwq6WcBm3lGzlNfUnEjdq2ePzxt9i4hkyIjNwmZ2I7AJuBtYAZxDEIpfB1a7e6eZHQZ8x91PH9OGzcqA24FL3f3JcNynw+28wffQXq1m4X3X27zb1dVFMpkkJyeH3NxczIyenp6+Jt+kQ8EBR1N8xBkUHHgMFolSnGhhSVEb7zz5MM469cRsvxURkYzbl2bhjwBfAO4AniFosv0r8H7gcjP7BEEnpNljLZS7N5lZLXAm8KSZXQicBZy2p2CVvTO4iffKK6/sC1aAZDJJd3dwvqe7EyufQ8mRZ1B4+KuITKsg0d5M69/upvvZP/GLX/6YE044IVtvRURkXBsxXN29AfiAmV0KrAROIqhZdhB0QroamAe8YzQbM7MqoDsM1gLgdODLZnYm8HHgFHdvH3ElsldSOyH1NvF2d3eTTCYxM9w9qLnG8shffCwFS88gf+EyDGde7i7euLyY5TOn8+ADG6n5wrvU3CsiMoJRdWhy9wRBz94HB08zs7OAC4BfjmJVs4AbwuOuOcBN7n6XmT1HcHrOvUGHYh5y9/eP7i3IaKRe0KG3ptobqKeffjqvPvdN/PnlHF5gJk1dTrHFee0hBXz0DScMuOfpSSeqtioisif73Fs4DMffjnLeJ4DlQ4w/cF/LIcOrq6tj06ZN5OYGu7u35trT00Ph/KWUn/VRvr+5m4Q7NQdX8o7jF1BzSPVuF3cQEZHRScupOKm9h2V8Gdwc/N73vpe3v+OdPLw1zq8eq6c+UciTDUkuOnEh7zx+IfMrdA9REZF9pcsfTiKDT6upqKjg1ltv7eu0ZNF8mma8go//qZMtTR0cUFnFh1+5iDe8Yg6FMX0VRETSRX9RJ4nBp9X0dlIyMyyvmLIV5zDt6LOp6yzm2FkFXHXOEk49tJocNf2KiKSdwnWS6O2wNKCzUmEpJce+gWnLX0dOrIAVM6N8+g3HsHz+9CyXVkRkclO4TmCpzcC9HZbcHfKnUXrc+RQvex2WG6XrX3/h25e8nje/5qRsF1lEZEpQuE4QqUH6t7/9jW3btnH33Xf3nauak5NDtKiEmvd/iU0Fi+lx4/DiDpbwHP/28XN1XqqISAYpXCeAwcdTdxOJUnz02ZQe/yaez5/GWUfM4rLTD+bA6uLMF1ZERBSuE8Hg46n9jKLDT6Hs5AvILa2ma8OjfP3CGt722ldkpZwiIhJQuI5zqReAcPe+gI3NPoSKM95PbOZBzIjFOSb6PG//8Olq/hURGQcUruPY4AtArFq1ioOOOJpbn+thS2weZXnGZ885kn9bPken1IiIjCMK13HsxhtvpLOzM+gBbDm0zFjO/7w8j66CJJectIgPvupAivO0C0VExhv9ZR6n6urquO6663B3otUHUPW6/8efO+dw0kFl/Oe5S1lUWZTtIoqIyDAUruNUbW0tCYtQdvKFlBz3BvLo5utvXc5ZR84ivHOQiIiMUwrXcaauro4bb7yR55sSzLzgGnLL59Dx1B/58UffwBlHjfme9CIikgU52S6A9Kurq6Pm1NP45VOtPDPvLCyax4q2h7jjU2/kjFNOzHbxRERklBSu48ida/5C+Zu/SNkJb6HtqfvYet2HOHp2oU6vERGZYNQsPE589aZabt51INHpndTfcTXtz/yZvLw8ampqsl00EREZI4VrlnV2J3jLV27lsV1FdG15hqa7r+HMk49j5qvezwUXXKBaq4jIBKRwzaItTR288wf388KuIpofupmmB35KjsGxxx7LJz/5yWwXT0RE9pLCNUsefqGBS37+KK1tcepvu5r2Zx8CIJIbVVOwiMgEpw5NWfDrv27iHT95mOmFUS6au4PuDeswM3Jzc/nud7+rpmARkQlONdcMcne++vtn+F7t85x0UCUXHtTDOWd+iEQiQSQS4dprr2XVqlXZLqaIiOwjhWuGdCeSXHHLE9z+ty2ctiCP3LU38OnV6/ru0WpmNDQ0ZLuYIiKSBgrXDOiIJ/jAz9dx3zP1nDK9mRsuvYBEItE3PScnh1gspmOtIiKTREaPuZpZvpk9YmaPm9lTZnZVOL7czO41s2fD5+mZLNf+1NrVw4X/8wi1/6rn4qMK+cVnLhwQrACnn346a9as0bFWEZFJItMdmrqAU939KGAZcKaZHQ98Aljj7gcBa8LXE96uzm4uvO4R1m3cyYdeUcSfrv/SbsGal5fHlVdeqWAVEZlEMhquHmgNX0bDhwPnAjeE428AzstkufaHtq4eLvqfv/L4i01cenQRn73wdfzhD3/A3TEzIpEI5513Hvfdd5+CVURkksn4qThmFjGzx4DtwL3u/jAww91fAgifq4dZdpWZrTWztfX19Rkr81h1did4741reXTTTj74iiJ++ZUr6OzsJJlMkpOTwxlnnMGf/vQnbr/9dgWriMgklPEOTe6eAJaZWRlwu5ktHcOyq4HVACtWrPD9U8J9k0g6l/3qMf7yfANnVzXysbecO6ApOBqNqhlYRGSSy9pFJNy9CagFzgReNrNZAOHz9myVa1+4O//5v0/xu6e28c6lhfzgE+/e7RjrRRddpGAVEZnkMt1buCqssWJmBcDpwD+B3wAXhrNdCNyZyXKly+d/XssNdRs5rnQX93znE/T09AyYnpeXxwUXXJCl0omISKZkull4FnCDmUUIgv0md7/LzOqAm8zsPcAm4E0ZLtc++8Gd93PDE610PPcQN91+NUE/rUBOTg7nnHMOV1xxhWqtIiJTQEbD1d2fAJYPMb4BOC2TZUmnjQ1tfKOuie4dL7Ljrq+TGqwAq1at4vvf/352CiciIhmnKzTto/sf/AsfunMDPR6j4c7/hp74gOlqChYRmXoUrvugrq6ON37xlxQddSbbb76SeONLRCIRLr/8clpaWgB0w3MRkSlI4boPrr/3UYqOOpPmh2+l44W1ACSTScrKyvjyl7+c5dKJiEi26H6ue2lHaxd1PYvofvkFmh74ad94XYBfRERUc91Ln73jSTqTxjffsoz78i9m27ZtzJw5U83AIiKicN0bv3tyG3c/uY23HFbA848+qEAVEZEBFK5j1NbVw5W/eYrqWJxvvO+NJLrj5OXl6ZZxIiLSR8dcx+g7f3yObS2dPHX9Z+nuCi7G39XVRW1tbbaLJiIi44TCdQw2NrRx3YPrOTjaSOeWp/vGRyIRdWISEZE+ahYepbq6Oj5y85P05FbR9uivMLO++7J+97vfVZOwiIj0Uc11FFavXs2rzr+QbbHZNNbdwl/W/JZEIkFOTg7XXnstq1atynYRRURkHFG47kFdXR0f+MAHKDnhrSQ6Wmh55La+aclkkoaGhiyWTkRExiOF6x7ceOONRCoXUnjgsbQ8cjse7+ibpgtGiIjIUHTMdQR1dXVcd911lLz2P0h2trLr0bswM0466SQOP/xwnd8qIiJDUriO4MYbbyRZWE7hISfQ8tCtHLPsCK655hoFqoiIjEjhOozVq1fzox/9iJJTLoJkkq4n7+Gau25VsIqIyB7pmOsQVq9ezSWXXELScik64nTa//VnLnzzuQpWEREZFYXrIHV1dXzwgx8kmUxSeOiJRPKL6fj7vbrhuYiIjJrCdZDa2lqSySQAxUecQXfjFr7+8UtUaxURkVHTMddBKioqiEQi5EyrIn/+EZwyvZn3ve9t2S6WiIhMIKq5pqirq+Oyyy4jkUhQvKQGgP9673lZLZOIiEw8CtcUtbW1xONxkskkBQefSHWkjXnlhdkuloiITDBqFk5RU1NDLBYjUVBGbMYBnHFoQbaLJCIiE5DCNcXKlStZs2YN3/79k9R1wqrXHZftIomIyASU0WZhM5tnZveZ2dNm9pSZfTgcv8zMHjKzx8xsrZkdm8lypVq5ciWRuUdyYHUxCyqKslUMERGZwDJ9zLUHuNzdDwOOBz5oZocDXwGucvdlwOfC11nREU/wyPpGag6uylYRRERkgstos7C7vwS8FA7vMrOngTmAAyXhbKXA1kyWK9UjGxqJJ5KcpHAVEZG9lLVjrma2EFgOPAxcBvzezL5GUJs+YZhlVgGrAObPn5/2Mq1evZof1L1EzoyjOWbh9LSvX0REpoasnIpjZsXArcBl7t4CXAJ8xN3nAR8BfjLUcu6+2t1XuPuKqqr01ixXr17N+973Prb2FNG+5Z/87Prr0rp+ERGZOjIermYWJQjWn7v7beHoC4He4ZuBjHdouvXWWyESJW/mgXRt/kfwWkREZC9kurewEdRKn3b3b6RM2gqcEg6fCjybyXIBnH/++cRmLMYiUbq2PM3555+f6SKIiMgkkeljricC7wT+bmaPheM+BbwX+JaZ5QKdhMdVM2nVqlU80lzEHxrgC5e9h1WrLs50EUREZJLIdG/hBwEbZvLRmSzLUErmL2FG9w4u/4CCVURE9p6uLZziHy+1sGR2abaLISIiE5zCNRTvSfLc9lYOmzUt20UREZEJTuEaWr+jjZ6kc/AMhauIiOwbhWvo2e27ADiwujjLJRERkYlO4Rp6ob4NgAMqFa4iIrJvFK6hDTvamFWaT0Esku2iiIjIBKdwDW1oaGNBRWG2iyEiIpOAwjX04s4OFpTr/q0iIrLvFK5AZ3eC+l1dzJlekO2iiIjIJKBwBbY1dwIwu0zhKiIi+07hCmxt7gBgVml+lksiIiKTgcIV2N7SBcCMEoWriIjsO4Ur8HJL0Cw8oyQvyyUREZHJQOEK7GjtIpoD3/nG16irq8t2cUREZIJTuAL/XL+FzqbtfO5zn+W0005TwIqIyD5RuAJPr99MT1sTiUSCeDxObW1ttoskIiIT2JQP17q6OrY2tJDsaAEgNzeXmpqa7BZKREQmtCkfrrW1teTkF5Ho2IWZcdFFF7Fy5cpsF0tERCawKR+uNTU15ORPg3g7+fn5XHDBBdkukoiITHBTPlyPO+54IvnFnHz8CtasWaNaq4iI7LPcbBcg21rjPThw5mmnsHLl4mwXR0REJoEpX3Nt7ewBYFp+NMslERGRyWLKh2tbVxCuxXlTvhIvIiJpMuXD9aF1jwHw4vpns1sQERGZNDIarmY2z8zuM7OnzewpM/twyrRLzeyZcPxXMlGeuro6PnTZ5QB88mOX68pMIiKSFpluC+0BLnf3R81sGrDOzO4FZgDnAke6e5eZVWeiMLW1tSSIABBvb6W2tla9hUVEZJ9ltObq7i+5+6Ph8C7gaWAOcAnwJXfvCqdtz0R5ampqiBYUAZBrSV2ZSURE0iJrx1zNbCGwHHgYOBg4ycweNrP7zeyYYZZZZWZrzWxtfX39Ppdh5cqVXPHJzwDw8xuuU61VRETSIivhambFwK3AZe7eQtA8PR04HvgYcJOZ2eDl3H21u69w9xVVVVVpKcvcBQsBWHnskHkuIiIyZhkPVzOLEgTrz939tnD0ZuA2DzwCJIHKTJSnqycJQF50ynecFhGRNMl0b2EDfgI87e7fSJl0B3BqOM/BQAzYkYky9YVrrsJVRETSI9O9hU8E3gn83cweC8d9CrgOuM7MngTiwIXu7pkoUFd3AoBYROEqIiLpkdFwdfcHgd2OpYbekcmy9IonnFgkhyEO8YqIiOyVKV9d604kiUYUrCIikj5TPlx7Ekly1SQsIiJpNOVTJZ5wogpXERFJoymfKj1qFhYRkTRTuCadSI7CVURE0mfKh2si6eQqXEVEJI0UrklXhyYREUmrKZ8qPckkEZ3jKiIiaTTlwzWhY64iIpJmCleFq4iIpNmUD9ekg7JVRETSSeHqTo7SVURE0kjh6k6OOjSJiEgaTflwTSRdvYVFRCStpny4Jh1ypvynICIi6TTlY8XdsWFvMSsiIjJ2Uz5cVXMVEZF0m/KxopqriIik25QP16SD+jOJiEg65Wa7ANn2gZrFRHOn/P8YIiKSRlM+XF+9ZGa2iyAiIpOMqmwiIiJppnAVERFJM4WriIhImmU0XM1snpndZ2ZPm9lTZvbhQdM/amZuZpWZLJeIiEg6ZbpDUw9wubs/ambTgHVmdq+7/8PM5gFnAJsyXCYREZG0ymjN1d1fcvdHw+FdwNPAnHDyN4ErAM9kmURERNIta8dczWwhsBx42MzOAba4++N7WGaVma01s7X19fWZKKaIiMiYZSVczawYuBW4jKCp+NPA5/a0nLuvdvcV7r6iqqpq/xZSRERkL2U8XM0sShCsP3f324DFwCLgcTPbAMwFHjUzXd1BREQmpIx2aDIzA34CPO3u3wBw978D1SnzbABWuPuOTJZNREQkXcw9c/2HzOyVwJ+AvwPJcPSn3P23KfNsYBThamb1wMZhJpcCzWMYXwmMxzAfrrzZXu/eLD/aZfY030jT92aa9v3+XT5d+31P82jf7//1TpZ9n879vsDdhz5G6e6T7gGsHuP4tdku81jKm+317s3yo11mT/ONNH1vpmnf79/l07Xfte+zv97Jsu8ztd8n6xWa/neM48er/VXefV3v3iw/2mX2NN9I0/d22ng0WfZ9uvb7nubRvt//69W+H4OMNguPV2a21t1XZLscknna91OX9v3UlKn9PllrrmO1OtsFkKzRvp+6tO+npozsd9VcRURE0kw1VxERkTRTuIqIiKSZwlVERCTNFK4iIiJppnAdgpkVmdkNZvYjM3t7tssjmWFmB5jZT8zslmyXRTLLzM4Lf+93mtmrs10eyRwzO8zMfmBmt5jZJela75QJVzO7zsy2m9mTg8afaWbPmNlzZvaJcPQbgFvc/b3AORkvrKTNWPa7u7/g7u/JTkkl3ca47+8If+/vAv49C8WVNBrjvn/a3d8PvBlI2/mvUyZcgeuBM1NHmFkEuBZ4LXA48FYzO5zgzjwvhrMlMlhGSb/rGf1+l8nlesa+7z8TTpeJ7XrGsO/De4o/CKxJVwGmTLi6+wNA46DRxwLPhTWWOPAr4FxgM0HAwhT6jCajMe53mUTGsu8t8GXgbnd/NNNllfQa6+/e3X/j7icAaTsMONWDYw79NVQIQnUOcBtwvpl9n4l3XVLZsyH3u5lVmNkPgOVm9snsFE32s+F+85cCpwNvNLP3Z6Ngst8N97uvMbNvm9kPgd8OvejYZfR+ruOQDTHO3b0NuCjThZGMGW6/NwD6wzq5Dbfvvw18O9OFkYwabt/XArXp3thUr7luBualvJ4LbM1SWSRztN+nLu37qSuj+36qh+tfgYPMbJGZxYC3AL/Jcplk/9N+n7q076eujO77KROuZvZLoA44xMw2m9l73L0H+BDwe+Bp4CZ3fyqb5ZT00n6furTvp67xsO91VxwREZE0mzI1VxERkUxRuIqIiKSZwlVERCTNFK4iIiJppnAVERFJM4WriIhImilcRdLMzMrM7APZLsdIzOzHY7kTkJm9y8y+O8y088zsc+kr3ajLFDOzB8xsql/GVcYhhavIXgjvojLc76cMGHO4hrfE2u/MLOLuF7v7P9K0yiuA76VpXbsZLjzDO5usQfdflXFI4SoySma20MyeNrPvAY8C88zsY2b2VzN7wsyuCmf9ErDYzB4zs6+Gd924K2U93zWzd4XDG8zsc2b2IPCm8PVVZvaomf3dzA4dohzvMrM7zex34Y2fP58y7R1m9ki47R/2BraZtZrZf5rZw8BKM6s1sxXhtLeG23oyvO1a77ouMrN/mdn9wInDfCYHA13uvsPMppnZejOLhtNKwvcTNbPFYXnXmdmfet+XmZ1tZg+b2d/M7A9mNiMcf6WZrTaze4AbzWxJyvt6wswOCotwB2m8TZhIuihcRcbmEOBGd18eDh9EcJ/IZcDRZnYy8AngeXdf5u4fG8U6O939le7+q/D1Dnd/BfB94KPDLHMsQagsIwjlFWZ2GEEt7kR3XwYk6A+eIuBJdz/O3R/sXYmZzQa+DJwaruuYsJl3FnAVQaieQXBz6aGcSPCPBu6+i+DuIq8Pp70FuNXdu4HVwKXufnT4nnprug8Cx4ef568IasG9jgbOdfe3Edyt6Fvh+1pBcBF2gCeBY4Ypm0jW6FiFyNhsdPeHwuFXh4+/ha+LCcJ20xjX+etBr28Ln9cBbxhmmXvDW+RhZrcBrwR6CALpr2YGUABsD+dPALcOsZ5jgFp3rw/X9XPg5HBa6vhfAwcPsfwsoD7l9Y8JAvIOgts2vtfMioETgJvDcgHkhc9zgV+HYR4D1qes6zfu3hEO1wGfNrO5wG3u/iyAuyfMLG5m08JwFxkXFK4iY9OWMmzA1e7+w9QZzGzhoGV6GNhKlD/COgG6wucEw/9GB18U3MPy3ODuQ93ovdPdE0OMH+oel8NtYygdQGnfAu5/DpvPTwEi7v6kmZUATWGtc7DvAN9w99+YWQ1wZcq0vs/F3X8RNmm/Hvi9mV3s7n8MJ+cBnaMoq0jGqFlYZO/9Hnh3WDPDzOaYWTWwC5iWMt9G4HAzyzOzUuC0NGz7DDMrN7MC4DzgzwSde94YloFw+oI9rOdh4BQzqwyPz74VuD8cX2NmFeEx1DcNs/zTwIGDxt0I/BL4HwB3bwHWm9mbwnKZmR0VzlsKbAmHLxyukGZ2APBCeFPz3wBHhuMrgPqw6Vlk3FC4iuwld78H+AVQZ2Z/B24BpoXNtX8OOwh91d1fBG4CngB+Tn8z8r54EPgp8BjBcc21Ye/fzwD3mNkTwL0EzbYjvYeXgE8C9wGPA4+6+53h+CsJmmP/QHhcdQgPAMstpb2X4D1OJwjYXm8H3mNmjwNPAeeG468kaC7+E7BjhKL+O/CkmT0GHEoQ4ACvAn470nsUyQbdck5kggl7Gq9w9w9luywAZvYt4H/d/Q/h6zcSdER6Zwa2fRvwSXd/Zn9vS2QsdMxVRPbVfwPHAZjZd4DXAq/b3xs1sxhwh4JVxiPVXEVERNJMx1xFRETSTOEqIiKSZgpXERGRNFO4ioiIpJnCVUREJM3+P7eubXCzibiRAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(7.5,5))\n", "plt.semilogx(r_np, tx_np, 'k.')\n", "plt.semilogx(r_p, tx_p)\n", "plt.semilogx(r_boot, ci[0], r_boot, ci[1])\n", "plt.ylabel('$\\ell$',fontsize=14)\n", "plt.xlabel('return period (years)');\n", "plt.title('Return level plot with 95% uncertainty bounds');" ] } ], "metadata": { "hide_input": false, "kernelspec": { "display_name": "base", "language": "python", "name": "base" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.10" }, "toc": { "base_numbering": 1, "nav_menu": {}, "number_sections": true, "sideBar": true, "skip_h1_title": false, "title_cell": "Table of Contents", "title_sidebar": "Contents", "toc_cell": false, "toc_position": {}, "toc_section_display": true, "toc_window_display": false } }, "nbformat": 4, "nbformat_minor": 4 }