Created
February 21, 2021 15:40
-
-
Save chiuannica/b40328c39bd816d9e3dd5886925eccfd to your computer and use it in GitHub Desktop.
search_trends_and_price.ipynb
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
{ | |
"nbformat": 4, | |
"nbformat_minor": 0, | |
"metadata": { | |
"colab": { | |
"name": "search_trends_and_price.ipynb", | |
"provenance": [], | |
"collapsed_sections": [], | |
"authorship_tag": "ABX9TyMPLhx4JMyW8x7GND7HEEJf", | |
"include_colab_link": true | |
}, | |
"kernelspec": { | |
"name": "python3", | |
"display_name": "Python 3" | |
} | |
}, | |
"cells": [ | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"id": "view-in-github", | |
"colab_type": "text" | |
}, | |
"source": [ | |
"<a href=\"https://colab.research.google.com/gist/chiuannica/b40328c39bd816d9e3dd5886925eccfd/search_trends_and_price.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"metadata": { | |
"id": "ciGhdUE1ndcp" | |
}, | |
"source": [ | |
"import numpy as np\r\n", | |
"import pandas as pd\r\n", | |
"from datetime import datetime\r\n", | |
"import matplotlib.pyplot as plt\r\n", | |
"from scipy import stats" | |
], | |
"execution_count": 3, | |
"outputs": [] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"id": "z9wU2hvEpAcK" | |
}, | |
"source": [ | |
"Data Sources: \r\n", | |
"* [Bitcoin](https://www.coindesk.com/price/bitcoin)\r\n", | |
"* [Dogecoin](https://www.coindesk.com/price/dogecoin)\r\n", | |
"* [Ethereum](https://www.coindesk.com/price/ethereum/)\r\n", | |
"* [Search Trends](https://trends.google.com/trends/explore?date=today%203-m&q=%2Fm%2F0zmxk9t,Bitcoin,Ethereum)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"metadata": { | |
"id": "rdAnCpKjoFW5" | |
}, | |
"source": [ | |
"# load data\r\n", | |
"btc_path = \"BTC_USD_2020-11-21_2021-02-20-CoinDesk.csv\"\r\n", | |
"doge_path = \"DOGE_USD_2020-11-21_2021-02-20-CoinDesk.csv\"\r\n", | |
"eth_path = \"ETH_USD_2020-11-21_2021-02-20-CoinDesk.csv\"\r\n", | |
"trends_path = \"search_trends_90_days.csv\"\r\n", | |
"\r\n", | |
"df_btc = pd.read_csv(btc_path)\r\n", | |
"df_doge = pd.read_csv(doge_path)\r\n", | |
"df_eth = pd.read_csv(eth_path)\r\n", | |
"df_trends = pd.read_csv(trends_path)" | |
], | |
"execution_count": 4, | |
"outputs": [] | |
}, | |
{ | |
"cell_type": "code", | |
"metadata": { | |
"id": "0S9fmD-JqRhb" | |
}, | |
"source": [ | |
"### preparing df\r\n", | |
"## bitcoin\r\n", | |
"# rename columns and set the index as date\r\n", | |
"df_btc = df_btc.rename(columns={'Date': 'date', 'Closing Price (USD)': 'BTC'})\r\n", | |
"df_btc.set_index(pd.to_datetime(df_btc['date']), inplace=True)\r\n", | |
"\r\n", | |
"# generate the change from one day to the next\r\n", | |
"df_btc['BTC_change'] = df_btc['BTC'].pct_change()\r\n", | |
"# select columns for df\r\n", | |
"df_btc = df_btc[['BTC', 'BTC_change']]\r\n", | |
"\r\n", | |
"## same for doge\r\n", | |
"df_doge = df_doge.rename(columns={'Date': 'date', 'Closing Price (USD)': 'DOGE'})\r\n", | |
"df_doge.set_index(pd.to_datetime(df_doge['date']), inplace=True)\r\n", | |
"\r\n", | |
"df_doge['DOGE_change'] = df_doge['DOGE'].pct_change()\r\n", | |
"df_doge = df_doge[['DOGE', 'DOGE_change']]\r\n", | |
"\r\n", | |
"## same for eth\r\n", | |
"df_eth = df_eth.rename(columns={'Date': 'date', 'Closing Price (USD)': 'ETH'})\r\n", | |
"df_eth.set_index(pd.to_datetime(df_eth['date']), inplace=True)\r\n", | |
"\r\n", | |
"df_eth['ETH_change'] = df_eth['ETH'].pct_change()\r\n", | |
"df_eth = df_eth[['ETH', 'ETH_change']]" | |
], | |
"execution_count": 5, | |
"outputs": [] | |
}, | |
{ | |
"cell_type": "code", | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 428 | |
}, | |
"id": "mRMfLM7FF1zj", | |
"outputId": "bd9dd282-03cf-4d8e-a2de-f0dce489b518" | |
}, | |
"source": [ | |
"# remove NaN values\r\n", | |
"df_btc.fillna(0)\r\n", | |
"df_doge.fillna(0)\r\n", | |
"df_eth.fillna(0)" | |
], | |
"execution_count": 6, | |
"outputs": [ | |
{ | |
"output_type": "execute_result", | |
"data": { | |
"text/html": [ | |
"<div>\n", | |
"<style scoped>\n", | |
" .dataframe tbody tr th:only-of-type {\n", | |
" vertical-align: middle;\n", | |
" }\n", | |
"\n", | |
" .dataframe tbody tr th {\n", | |
" vertical-align: top;\n", | |
" }\n", | |
"\n", | |
" .dataframe thead th {\n", | |
" text-align: right;\n", | |
" }\n", | |
"</style>\n", | |
"<table border=\"1\" class=\"dataframe\">\n", | |
" <thead>\n", | |
" <tr style=\"text-align: right;\">\n", | |
" <th></th>\n", | |
" <th>ETH</th>\n", | |
" <th>ETH_change</th>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>date</th>\n", | |
" <th></th>\n", | |
" <th></th>\n", | |
" </tr>\n", | |
" </thead>\n", | |
" <tbody>\n", | |
" <tr>\n", | |
" <th>2020-11-21</th>\n", | |
" <td>539.562594</td>\n", | |
" <td>0.000000</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>2020-11-22</th>\n", | |
" <td>578.462974</td>\n", | |
" <td>0.072096</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>2020-11-23</th>\n", | |
" <td>609.143715</td>\n", | |
" <td>0.053038</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>2020-11-24</th>\n", | |
" <td>601.531645</td>\n", | |
" <td>-0.012496</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>2020-11-25</th>\n", | |
" <td>567.775967</td>\n", | |
" <td>-0.056116</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>...</th>\n", | |
" <td>...</td>\n", | |
" <td>...</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>2021-02-16</th>\n", | |
" <td>1763.751671</td>\n", | |
" <td>-0.013078</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>2021-02-17</th>\n", | |
" <td>1835.991463</td>\n", | |
" <td>0.040958</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>2021-02-18</th>\n", | |
" <td>1936.715286</td>\n", | |
" <td>0.054861</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>2021-02-19</th>\n", | |
" <td>1958.739190</td>\n", | |
" <td>0.011372</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>2021-02-20</th>\n", | |
" <td>1855.264841</td>\n", | |
" <td>-0.052827</td>\n", | |
" </tr>\n", | |
" </tbody>\n", | |
"</table>\n", | |
"<p>92 rows × 2 columns</p>\n", | |
"</div>" | |
], | |
"text/plain": [ | |
" ETH ETH_change\n", | |
"date \n", | |
"2020-11-21 539.562594 0.000000\n", | |
"2020-11-22 578.462974 0.072096\n", | |
"2020-11-23 609.143715 0.053038\n", | |
"2020-11-24 601.531645 -0.012496\n", | |
"2020-11-25 567.775967 -0.056116\n", | |
"... ... ...\n", | |
"2021-02-16 1763.751671 -0.013078\n", | |
"2021-02-17 1835.991463 0.040958\n", | |
"2021-02-18 1936.715286 0.054861\n", | |
"2021-02-19 1958.739190 0.011372\n", | |
"2021-02-20 1855.264841 -0.052827\n", | |
"\n", | |
"[92 rows x 2 columns]" | |
] | |
}, | |
"metadata": { | |
"tags": [] | |
}, | |
"execution_count": 6 | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 164 | |
}, | |
"id": "luZrqyv5EFUU", | |
"outputId": "04972fff-1222-420e-b1de-32c830e21efc" | |
}, | |
"source": [ | |
"df_btc.head(3)" | |
], | |
"execution_count": 7, | |
"outputs": [ | |
{ | |
"output_type": "execute_result", | |
"data": { | |
"text/html": [ | |
"<div>\n", | |
"<style scoped>\n", | |
" .dataframe tbody tr th:only-of-type {\n", | |
" vertical-align: middle;\n", | |
" }\n", | |
"\n", | |
" .dataframe tbody tr th {\n", | |
" vertical-align: top;\n", | |
" }\n", | |
"\n", | |
" .dataframe thead th {\n", | |
" text-align: right;\n", | |
" }\n", | |
"</style>\n", | |
"<table border=\"1\" class=\"dataframe\">\n", | |
" <thead>\n", | |
" <tr style=\"text-align: right;\">\n", | |
" <th></th>\n", | |
" <th>BTC</th>\n", | |
" <th>BTC_change</th>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>date</th>\n", | |
" <th></th>\n", | |
" <th></th>\n", | |
" </tr>\n", | |
" </thead>\n", | |
" <tbody>\n", | |
" <tr>\n", | |
" <th>2020-11-21</th>\n", | |
" <td>18591.856605</td>\n", | |
" <td>NaN</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>2020-11-22</th>\n", | |
" <td>18629.995537</td>\n", | |
" <td>0.002051</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>2020-11-23</th>\n", | |
" <td>18469.200469</td>\n", | |
" <td>-0.008631</td>\n", | |
" </tr>\n", | |
" </tbody>\n", | |
"</table>\n", | |
"</div>" | |
], | |
"text/plain": [ | |
" BTC BTC_change\n", | |
"date \n", | |
"2020-11-21 18591.856605 NaN\n", | |
"2020-11-22 18629.995537 0.002051\n", | |
"2020-11-23 18469.200469 -0.008631" | |
] | |
}, | |
"metadata": { | |
"tags": [] | |
}, | |
"execution_count": 7 | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 535 | |
}, | |
"id": "m_EJRnUVIbaV", | |
"outputId": "05756b95-afec-4aaa-b6bd-9a4b47cb77fa" | |
}, | |
"source": [ | |
"plt.figure(figsize=(16,8))\r\n", | |
"plt.title(\"Bitcoin to USD History\")\r\n", | |
"plt.plot(df_btc[\"BTC\"])\r\n", | |
"plt.xlabel(\"date\", fontsize=\"14\")\r\n", | |
"plt.ylabel(\"Bitcoin close price\", fontsize=\"14\")" | |
], | |
"execution_count": 47, | |
"outputs": [ | |
{ | |
"output_type": "execute_result", | |
"data": { | |
"text/plain": [ | |
"Text(0, 0.5, 'BTC close price')" | |
] | |
}, | |
"metadata": { | |
"tags": [] | |
}, | |
"execution_count": 47 | |
}, | |
{ | |
"output_type": "display_data", | |
"data": { | |
"image/png": "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\n", | |
"text/plain": [ | |
"<Figure size 1152x576 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"tags": [], | |
"needs_background": "light" | |
} | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 535 | |
}, | |
"id": "qDkOJo_mIlDq", | |
"outputId": "fa132764-ef8d-47a3-beba-c800c60e4a94" | |
}, | |
"source": [ | |
"plt.figure(figsize=(16,8))\r\n", | |
"plt.title(\"Dogecoin to USD History\")\r\n", | |
"plt.plot(df_doge[\"DOGE\"])\r\n", | |
"plt.xlabel(\"date\", fontsize=\"14\")\r\n", | |
"plt.ylabel(\"Dogecoin close price\", fontsize=\"14\")" | |
], | |
"execution_count": 49, | |
"outputs": [ | |
{ | |
"output_type": "execute_result", | |
"data": { | |
"text/plain": [ | |
"Text(0, 0.5, 'Dogecoin close price')" | |
] | |
}, | |
"metadata": { | |
"tags": [] | |
}, | |
"execution_count": 49 | |
}, | |
{ | |
"output_type": "display_data", | |
"data": { | |
"image/png": "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\n", | |
"text/plain": [ | |
"<Figure size 1152x576 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"tags": [], | |
"needs_background": "light" | |
} | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 535 | |
}, | |
"id": "a1TXfDWyIlNo", | |
"outputId": "ac538a95-fab4-4122-f439-be32071baa59" | |
}, | |
"source": [ | |
"plt.figure(figsize=(16,8))\r\n", | |
"plt.title(\"Ethereum to USD History\")\r\n", | |
"plt.plot(df_eth[\"ETH\"])\r\n", | |
"plt.xlabel(\"date\", fontsize=\"14\")\r\n", | |
"plt.ylabel(\"Ethereum close price\", fontsize=\"14\")" | |
], | |
"execution_count": 50, | |
"outputs": [ | |
{ | |
"output_type": "execute_result", | |
"data": { | |
"text/plain": [ | |
"Text(0, 0.5, 'Ethereum close price')" | |
] | |
}, | |
"metadata": { | |
"tags": [] | |
}, | |
"execution_count": 50 | |
}, | |
{ | |
"output_type": "display_data", | |
"data": { | |
"image/png": "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\n", | |
"text/plain": [ | |
"<Figure size 1152x576 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"tags": [], | |
"needs_background": "light" | |
} | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"metadata": { | |
"id": "x5UV6HD-sdKe" | |
}, | |
"source": [ | |
"### format trends df\r\n", | |
"# rename columns\r\n", | |
"df_trends = df_trends.rename(columns={'Day': 'date',\r\n", | |
" 'Bitcoin: (Worldwide)' : 's_BTC',\r\n", | |
" 'Dogecoin: (Worldwide)' : 's_DOGE',\r\n", | |
" 'Ethereum: (Worldwide)' : 's_ETH'\r\n", | |
" })\r\n", | |
"# replace the '<1' with 0\r\n", | |
"df_trends = df_trends.replace({'<1':0.000001})" | |
], | |
"execution_count": 8, | |
"outputs": [] | |
}, | |
{ | |
"cell_type": "code", | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 223 | |
}, | |
"id": "zSvtXDfILoXF", | |
"outputId": "4ea8035d-bff0-4216-9de9-35037e8d1ddd" | |
}, | |
"source": [ | |
"# set index as date\r\n", | |
"df_trends.set_index(pd.to_datetime(df_trends['date']), inplace=True)\r\n", | |
"\r\n", | |
"# get the percent change for each day\r\n", | |
"df_trends['s_BTC_change'] = df_trends['s_BTC'].astype(float).pct_change()\r\n", | |
"\r\n", | |
"df_trends['s_DOGE_change'] = df_trends['s_DOGE'].astype(float).pct_change()\r\n", | |
"\r\n", | |
"df_trends['s_ETH_change'] = df_trends['s_ETH'].astype(float).pct_change()\r\n", | |
"\r\n", | |
"# select the columns\r\n", | |
"df_trends = df_trends[['s_BTC', 's_DOGE', 's_ETH', 's_BTC_change', 's_DOGE_change', 's_ETH_change']]\r\n", | |
"df_trends.head()" | |
], | |
"execution_count": 9, | |
"outputs": [ | |
{ | |
"output_type": "execute_result", | |
"data": { | |
"text/html": [ | |
"<div>\n", | |
"<style scoped>\n", | |
" .dataframe tbody tr th:only-of-type {\n", | |
" vertical-align: middle;\n", | |
" }\n", | |
"\n", | |
" .dataframe tbody tr th {\n", | |
" vertical-align: top;\n", | |
" }\n", | |
"\n", | |
" .dataframe thead th {\n", | |
" text-align: right;\n", | |
" }\n", | |
"</style>\n", | |
"<table border=\"1\" class=\"dataframe\">\n", | |
" <thead>\n", | |
" <tr style=\"text-align: right;\">\n", | |
" <th></th>\n", | |
" <th>s_BTC</th>\n", | |
" <th>s_DOGE</th>\n", | |
" <th>s_ETH</th>\n", | |
" <th>s_BTC_change</th>\n", | |
" <th>s_DOGE_change</th>\n", | |
" <th>s_ETH_change</th>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>date</th>\n", | |
" <th></th>\n", | |
" <th></th>\n", | |
" <th></th>\n", | |
" <th></th>\n", | |
" <th></th>\n", | |
" <th></th>\n", | |
" </tr>\n", | |
" </thead>\n", | |
" <tbody>\n", | |
" <tr>\n", | |
" <th>2020-11-21</th>\n", | |
" <td>19</td>\n", | |
" <td>1e-06</td>\n", | |
" <td>3</td>\n", | |
" <td>NaN</td>\n", | |
" <td>NaN</td>\n", | |
" <td>NaN</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>2020-11-22</th>\n", | |
" <td>17</td>\n", | |
" <td>1e-06</td>\n", | |
" <td>3</td>\n", | |
" <td>-0.105263</td>\n", | |
" <td>0.0</td>\n", | |
" <td>0.000000</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>2020-11-23</th>\n", | |
" <td>17</td>\n", | |
" <td>1e-06</td>\n", | |
" <td>3</td>\n", | |
" <td>0.000000</td>\n", | |
" <td>0.0</td>\n", | |
" <td>0.000000</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>2020-11-24</th>\n", | |
" <td>22</td>\n", | |
" <td>1e-06</td>\n", | |
" <td>4</td>\n", | |
" <td>0.294118</td>\n", | |
" <td>0.0</td>\n", | |
" <td>0.333333</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>2020-11-25</th>\n", | |
" <td>22</td>\n", | |
" <td>1e-06</td>\n", | |
" <td>4</td>\n", | |
" <td>0.000000</td>\n", | |
" <td>0.0</td>\n", | |
" <td>0.000000</td>\n", | |
" </tr>\n", | |
" </tbody>\n", | |
"</table>\n", | |
"</div>" | |
], | |
"text/plain": [ | |
" s_BTC s_DOGE s_ETH s_BTC_change s_DOGE_change s_ETH_change\n", | |
"date \n", | |
"2020-11-21 19 1e-06 3 NaN NaN NaN\n", | |
"2020-11-22 17 1e-06 3 -0.105263 0.0 0.000000\n", | |
"2020-11-23 17 1e-06 3 0.000000 0.0 0.000000\n", | |
"2020-11-24 22 1e-06 4 0.294118 0.0 0.333333\n", | |
"2020-11-25 22 1e-06 4 0.000000 0.0 0.000000" | |
] | |
}, | |
"metadata": { | |
"tags": [] | |
}, | |
"execution_count": 9 | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 428 | |
}, | |
"id": "xAB-inK_ID4g", | |
"outputId": "b71188e1-30a5-40ba-b69b-5cf80b8f8f11" | |
}, | |
"source": [ | |
"df_trends.fillna(0)" | |
], | |
"execution_count": 10, | |
"outputs": [ | |
{ | |
"output_type": "execute_result", | |
"data": { | |
"text/html": [ | |
"<div>\n", | |
"<style scoped>\n", | |
" .dataframe tbody tr th:only-of-type {\n", | |
" vertical-align: middle;\n", | |
" }\n", | |
"\n", | |
" .dataframe tbody tr th {\n", | |
" vertical-align: top;\n", | |
" }\n", | |
"\n", | |
" .dataframe thead th {\n", | |
" text-align: right;\n", | |
" }\n", | |
"</style>\n", | |
"<table border=\"1\" class=\"dataframe\">\n", | |
" <thead>\n", | |
" <tr style=\"text-align: right;\">\n", | |
" <th></th>\n", | |
" <th>s_BTC</th>\n", | |
" <th>s_DOGE</th>\n", | |
" <th>s_ETH</th>\n", | |
" <th>s_BTC_change</th>\n", | |
" <th>s_DOGE_change</th>\n", | |
" <th>s_ETH_change</th>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>date</th>\n", | |
" <th></th>\n", | |
" <th></th>\n", | |
" <th></th>\n", | |
" <th></th>\n", | |
" <th></th>\n", | |
" <th></th>\n", | |
" </tr>\n", | |
" </thead>\n", | |
" <tbody>\n", | |
" <tr>\n", | |
" <th>2020-11-21</th>\n", | |
" <td>19</td>\n", | |
" <td>1e-06</td>\n", | |
" <td>3</td>\n", | |
" <td>0.000000</td>\n", | |
" <td>0.000000</td>\n", | |
" <td>0.000000</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>2020-11-22</th>\n", | |
" <td>17</td>\n", | |
" <td>1e-06</td>\n", | |
" <td>3</td>\n", | |
" <td>-0.105263</td>\n", | |
" <td>0.000000</td>\n", | |
" <td>0.000000</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>2020-11-23</th>\n", | |
" <td>17</td>\n", | |
" <td>1e-06</td>\n", | |
" <td>3</td>\n", | |
" <td>0.000000</td>\n", | |
" <td>0.000000</td>\n", | |
" <td>0.000000</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>2020-11-24</th>\n", | |
" <td>22</td>\n", | |
" <td>1e-06</td>\n", | |
" <td>4</td>\n", | |
" <td>0.294118</td>\n", | |
" <td>0.000000</td>\n", | |
" <td>0.333333</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>2020-11-25</th>\n", | |
" <td>22</td>\n", | |
" <td>1e-06</td>\n", | |
" <td>4</td>\n", | |
" <td>0.000000</td>\n", | |
" <td>0.000000</td>\n", | |
" <td>0.000000</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>...</th>\n", | |
" <td>...</td>\n", | |
" <td>...</td>\n", | |
" <td>...</td>\n", | |
" <td>...</td>\n", | |
" <td>...</td>\n", | |
" <td>...</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>2021-02-14</th>\n", | |
" <td>40</td>\n", | |
" <td>9</td>\n", | |
" <td>8</td>\n", | |
" <td>0.111111</td>\n", | |
" <td>0.125000</td>\n", | |
" <td>0.000000</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>2021-02-15</th>\n", | |
" <td>39</td>\n", | |
" <td>12</td>\n", | |
" <td>7</td>\n", | |
" <td>-0.025000</td>\n", | |
" <td>0.333333</td>\n", | |
" <td>-0.125000</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>2021-02-16</th>\n", | |
" <td>46</td>\n", | |
" <td>9</td>\n", | |
" <td>7</td>\n", | |
" <td>0.179487</td>\n", | |
" <td>-0.250000</td>\n", | |
" <td>0.000000</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>2021-02-17</th>\n", | |
" <td>51</td>\n", | |
" <td>8</td>\n", | |
" <td>7</td>\n", | |
" <td>0.108696</td>\n", | |
" <td>-0.111111</td>\n", | |
" <td>0.000000</td>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>2021-02-18</th>\n", | |
" <td>47</td>\n", | |
" <td>8</td>\n", | |
" <td>9</td>\n", | |
" <td>-0.078431</td>\n", | |
" <td>0.000000</td>\n", | |
" <td>0.285714</td>\n", | |
" </tr>\n", | |
" </tbody>\n", | |
"</table>\n", | |
"<p>90 rows × 6 columns</p>\n", | |
"</div>" | |
], | |
"text/plain": [ | |
" s_BTC s_DOGE s_ETH s_BTC_change s_DOGE_change s_ETH_change\n", | |
"date \n", | |
"2020-11-21 19 1e-06 3 0.000000 0.000000 0.000000\n", | |
"2020-11-22 17 1e-06 3 -0.105263 0.000000 0.000000\n", | |
"2020-11-23 17 1e-06 3 0.000000 0.000000 0.000000\n", | |
"2020-11-24 22 1e-06 4 0.294118 0.000000 0.333333\n", | |
"2020-11-25 22 1e-06 4 0.000000 0.000000 0.000000\n", | |
"... ... ... ... ... ... ...\n", | |
"2021-02-14 40 9 8 0.111111 0.125000 0.000000\n", | |
"2021-02-15 39 12 7 -0.025000 0.333333 -0.125000\n", | |
"2021-02-16 46 9 7 0.179487 -0.250000 0.000000\n", | |
"2021-02-17 51 8 7 0.108696 -0.111111 0.000000\n", | |
"2021-02-18 47 8 9 -0.078431 0.000000 0.285714\n", | |
"\n", | |
"[90 rows x 6 columns]" | |
] | |
}, | |
"metadata": { | |
"tags": [] | |
}, | |
"execution_count": 10 | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 535 | |
}, | |
"id": "nLDMzOsuJHuY", | |
"outputId": "b687a44d-28cc-4d88-a65a-6749ae6b815e" | |
}, | |
"source": [ | |
"plt.figure(figsize=(16,8))\r\n", | |
"plt.title(\"Bitcoin searches History\")\r\n", | |
"plt.plot(df_trends[\"s_BTC\"])\r\n", | |
"plt.xlabel(\"date\", fontsize=\"14\")\r\n", | |
"plt.ylabel(\"Number of Bitcoin searches\", fontsize=\"14\")" | |
], | |
"execution_count": 52, | |
"outputs": [ | |
{ | |
"output_type": "execute_result", | |
"data": { | |
"text/plain": [ | |
"Text(0, 0.5, 'Number of Bitcoin searches')" | |
] | |
}, | |
"metadata": { | |
"tags": [] | |
}, | |
"execution_count": 52 | |
}, | |
{ | |
"output_type": "display_data", | |
"data": { | |
"image/png": "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\n", | |
"text/plain": [ | |
"<Figure size 1152x576 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"tags": [], | |
"needs_background": "light" | |
} | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 535 | |
}, | |
"id": "cd1tNFETI8vM", | |
"outputId": "4e06935f-fc52-4a2a-ceb3-b9e3129e88be" | |
}, | |
"source": [ | |
"plt.figure(figsize=(16,8))\r\n", | |
"plt.title(\"Dogecoin searches History\")\r\n", | |
"plt.plot(df_trends[\"s_DOGE\"])\r\n", | |
"plt.xlabel(\"date\", fontsize=\"14\")\r\n", | |
"plt.ylabel(\"Number of Dogecoin searches\", fontsize=\"14\")" | |
], | |
"execution_count": 51, | |
"outputs": [ | |
{ | |
"output_type": "execute_result", | |
"data": { | |
"text/plain": [ | |
"Text(0, 0.5, 'Number of Dogecoin searches')" | |
] | |
}, | |
"metadata": { | |
"tags": [] | |
}, | |
"execution_count": 51 | |
}, | |
{ | |
"output_type": "display_data", | |
"data": { | |
"image/png": "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\n", | |
"text/plain": [ | |
"<Figure size 1152x576 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"tags": [], | |
"needs_background": "light" | |
} | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 535 | |
}, | |
"id": "oUej76KXJG25", | |
"outputId": "41361adb-4d5a-4197-f306-ca79b1d998bf" | |
}, | |
"source": [ | |
"plt.figure(figsize=(16,8))\r\n", | |
"plt.title(\"Etherum searches History\")\r\n", | |
"plt.plot(df_trends[\"s_ETH\"])\r\n", | |
"plt.xlabel(\"date\", fontsize=\"14\")\r\n", | |
"plt.ylabel(\"Number of Ethereum searches\", fontsize=\"14\")" | |
], | |
"execution_count": 54, | |
"outputs": [ | |
{ | |
"output_type": "execute_result", | |
"data": { | |
"text/plain": [ | |
"Text(0, 0.5, 'Number of Ethereum searches')" | |
] | |
}, | |
"metadata": { | |
"tags": [] | |
}, | |
"execution_count": 54 | |
}, | |
{ | |
"output_type": "display_data", | |
"data": { | |
"image/png": "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\n", | |
"text/plain": [ | |
"<Figure size 1152x576 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"tags": [], | |
"needs_background": "light" | |
} | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"metadata": { | |
"id": "xXG08kb6JnAO" | |
}, | |
"source": [ | |
"# make the number of rows the same\r\n", | |
"# remove the last few rows that df_trends doesn't have dates for\r\n", | |
"df_btc.drop(df_btc.tail(df_btc.shape[0]-df_trends.shape[0]).index,inplace=True)\r\n", | |
"df_doge.drop(df_doge.tail(df_doge.shape[0]-df_trends.shape[0]).index,inplace=True)\r\n", | |
"df_eth.drop(df_eth.tail(df_eth.shape[0]-df_trends.shape[0]).index,inplace=True)" | |
], | |
"execution_count": 11, | |
"outputs": [] | |
}, | |
{ | |
"cell_type": "code", | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 531 | |
}, | |
"id": "1uRxGfrdKA5I", | |
"outputId": "bd864f94-9fc8-4463-86a4-2e5d51445738" | |
}, | |
"source": [ | |
"price = df_btc['BTC_change'].to_numpy()\r\n", | |
"searches = df_trends['s_BTC_change'].to_numpy()\r\n", | |
"\r\n", | |
"plt.figure(figsize=(16,8))\r\n", | |
"plt.title('Bitcoin: Change in searches and value over time')\r\n", | |
"plt.plot(searches)\r\n", | |
"plt.plot(price)\r\n", | |
"plt.grid(True)\r\n", | |
"plt.xlabel('date')\r\n", | |
"plt.ylabel('change')\r\n", | |
"plt.legend(['change in searches', 'change in value'], loc='lower right')\r\n" | |
], | |
"execution_count": 61, | |
"outputs": [ | |
{ | |
"output_type": "execute_result", | |
"data": { | |
"text/plain": [ | |
"<matplotlib.legend.Legend at 0x7fa9167822b0>" | |
] | |
}, | |
"metadata": { | |
"tags": [] | |
}, | |
"execution_count": 61 | |
}, | |
{ | |
"output_type": "display_data", | |
"data": { | |
"image/png": "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\n", | |
"text/plain": [ | |
"<Figure size 1152x576 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"tags": [], | |
"needs_background": "light" | |
} | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 531 | |
}, | |
"id": "YEM6g9b8LA-d", | |
"outputId": "df4d7fac-d8b0-450d-fb78-4a654bb8cc4f" | |
}, | |
"source": [ | |
"price = df_doge['DOGE_change'].to_numpy()\r\n", | |
"searches = df_trends['s_DOGE_change'].to_numpy()\r\n", | |
"\r\n", | |
"plt.figure(figsize=(16,8))\r\n", | |
"plt.title('Dogecoin: Change in searches and value over time')\r\n", | |
"plt.plot(searches)\r\n", | |
"plt.plot(price)\r\n", | |
"plt.grid(True)\r\n", | |
"plt.xlabel('date')\r\n", | |
"plt.ylabel('change')\r\n", | |
"plt.legend(['change in searches', 'change in value'], loc='lower right')\r\n" | |
], | |
"execution_count": 66, | |
"outputs": [ | |
{ | |
"output_type": "execute_result", | |
"data": { | |
"text/plain": [ | |
"<matplotlib.legend.Legend at 0x7fa916483be0>" | |
] | |
}, | |
"metadata": { | |
"tags": [] | |
}, | |
"execution_count": 66 | |
}, | |
{ | |
"output_type": "display_data", | |
"data": { | |
"image/png": "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\n", | |
"text/plain": [ | |
"<Figure size 1152x576 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"tags": [], | |
"needs_background": "light" | |
} | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 531 | |
}, | |
"id": "_IfDKbFnK-bB", | |
"outputId": "0b39459b-54a8-4cf4-9e74-6deda6bc1452" | |
}, | |
"source": [ | |
"price = df_eth['ETH_change'].to_numpy()\r\n", | |
"searches = df_trends['s_ETH_change'].to_numpy()\r\n", | |
"\r\n", | |
"plt.figure(figsize=(16,8))\r\n", | |
"plt.title('Ethereum: Change in searches and value over time')\r\n", | |
"plt.plot(searches)\r\n", | |
"plt.plot(price)\r\n", | |
"plt.grid(True)\r\n", | |
"plt.xlabel('date')\r\n", | |
"plt.ylabel('change')\r\n", | |
"plt.legend(['change in searches', 'change in value'], loc='lower right')\r\n" | |
], | |
"execution_count": 65, | |
"outputs": [ | |
{ | |
"output_type": "execute_result", | |
"data": { | |
"text/plain": [ | |
"<matplotlib.legend.Legend at 0x7fa91650bcf8>" | |
] | |
}, | |
"metadata": { | |
"tags": [] | |
}, | |
"execution_count": 65 | |
}, | |
{ | |
"output_type": "display_data", | |
"data": { | |
"image/png": "iVBORw0KGgoAAAANSUhEUgAAA7gAAAHwCAYAAACMrcNzAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+WH4yJAAAgAElEQVR4nOzdeZxsd13n//en9ur9Lsm9SW4WIGFPAkzYEkYu4gI4gA4u6PhDdAT1J/PTcfkN6vwUQZ3R0XFckG0ccRwj60NFDQIqzXIDCRBIQhIC92bh3uRu3ff2Ul171ff3xzmnurq7qvpUVXdXnarX8/G4j3u7q7r6292nzz2f81m+5pwTAAAAAABRFxv0AgAAAAAA2AkEuAAAAACAkUCACwAAAAAYCQS4AAAAAICRQIALAAAAABgJBLgAAAAAgJFAgAsAQ8TM3mtmvzHodQyCmT1iZt826HV0Ymb/2sweHPQ6ehWF73EzMztqZqd24XVfb2af3enXHTZm9lEz+5FBrwMA9hIBLgDsIj+gKJhZrunPH/uPjcVFdsDMZszsf5jZN/3vwwn/7YODXltYzrnPOOeeMuh1AJuZ2VvM7P80v88593Ln3J8Pak0AMAgEuACw+17pnJtq+vOmvfikZhbfi88ThpmlJP2zpGdIepmkGUkvlLQo6XkDXNpIMbPEoNeA3cfPGQDaI8AFgAEws6dJeqekF/rZzKWmh/eZ2T+Y2aqZ3WFmT2r6uKea2SfM7IKZPWhm39/02HvN7B1mdpuZrUl6iZldbmYfNrPzZvawmf0/m57/G01vbygH9bPPv2hm95jZmpn9qZkd8sseV83sn8xsX8gv+XWSrpL0Pc65+51zdefcOefc25xztzU971n+51s2s/ebWcZfyz4z+3v/67jo//tI01rnzextZnbMX9vHmzPDZvY6M3vUzBbN7P9rLtU1s5iZvdnPKC+a2QfMbH+bn1ur79EvtFpzi4+91sw+5T9vwcze3/RYp5/rd5nZl81sxcxOmtlbmh67xsycmf17M/umpH/x3/8GM3vA/17cb2bP2e577H/cvzGzr5jZkpndbmY3ND32n8zsMf81HzSzl7b5OsOs90fMy+QvmNmvND2e9Y/Li2Z2v6Tntvoc/nPfYWa/u+l9f2tmP+f/O/iZBt+D72nzOsGaEk3vmzezH296+8f87+dFM/uYmV3dYV2vMrP7/O/hvHm/68H370ObnvsHZvaH/r9n/d+x0/73+TfMv0llXrXHMTP7fTNblPSWTa/zMkm/LOkHzDuf3L3569j0Gktm9pCZ3ey//6SZnbOmcmYzS5vZ7/o/p7Nm9k4zy7b7ugFgWBDgAsAAOOcekPSTkj7nZ3Xnmh5+raRfl7RP0nFJvylJZjYp6ROSbpV0qf+8PzGzpzd97A/5z5+WdLukv5N0t6QrJL1U0s+a2Xd2sdTXSPp2SU+W9EpJH5V3IX2JvP9DmgPme8zsh9q8zrdJ+kfnXG6bz/f98jK8T5B0g6TX+++PSfozSVfLC5QLkv5408f+kKQflfe9SUn6BX9dT5f0J5L+naTLJM3K+34E/oOk75b0YkmXS7oo6e3brDPMmjd7m6SPy/u5HpH0R/76tvu5rsm7QTAn6bsk/ZSZffem136xpKdJ+k4z+z55AdDr5GXKXyUvU95xvWb2bEn/S9JPSDog6V2SPuIHOk+R9CZJz3XOTUv6TkmPtPk6w6z3RZKeIu+Y/NUgCJT0a5Ke5P/5Tkmd+kf/Sl5AZ/7690n6Dknv8x8/Ielfy/t5/7qk/2Nml3V4vZbM7NXyjvl/K++4/4z/uVs998n+Yz/rP/c2SX9nXgXD+yS9wsym/efG5f0sbvU//L2SqpKulfRs/2v58aaXf76khyQdkn9OCDjn/lHSb0l6v38+ubHNl/N8SffI+/ne6q/puf7n/GFJf2xmU/5z/6u83/tn+Y9fIelX27wuAAwNAlwA2H1/42dMgj9v2Ob5f+2cu9M5V5X0l/IuMCXp30h6xDn3Z865qnPuy5I+LOn7mj72b51zx5xzdUnXS7rEOfdW51zZOfeQpPfIC6DC+iPn3Fnn3GPyLuzvcM592TlXlPTX8i7EJUnOuRucc7e2eZ0Dkk6H+Hx/6Jx73Dl3QV5w/iz/tRedcx92zuWdc6vyLvBfvOlj/8w593XnXEHSB7T+ffteSX/nnPusc64s7yLdNX3cT0r6FefcKedcSV5w+L0Wvgy05ZpbqMgL0C93zhWdc0H/dcefq3Nu3jl3r5/1vkdeALX5a3+Lc27N/9p/XNLvOOe+4DzHnXOPhljvGyW9yzl3h3Ou5vduliS9QFJNUlrS080s6Zx7xDl3otUXGXK9v+6cKzjn7pZ3AyYIyL5f0m865y44505K+sM230vJOx6dvCBW8n7On3POPe6v44P+11l3zr1f0jfUWzn8T0r6L865B/zfyd+SlwVvlcX9AUn/4Jz7hHOuIul3JWUl3ez/DO6SFGSSv1VS3jn3eTM7JOkVkn7W/zmek/T72vi7+rhz7o/8Y6TQw9chSQ/7x1lN0vslXSnprc65knPu45LKkq71bxq8UdJ/9H8Wq/7X3c25AwAGggAXAHbfdzvn5pr+vGeb559p+ndeUpBRuVrS85uDZXlZycNNzz/Z9O+rJV2+6fm/LC8DFNbZpn8XWrw9pXAW5WVPt9PyazezCTN7l3llxiuSPi1pzjb2Gbf7vl2upu+Lcy6vjRnNqyX9ddP36AF5AV3Y71O7z7vZ/yvJJN3pl7D+WNPnb/tzNbPnm9knzSvPXpYXcG0ezNX8c79SXvay2/VeLennN63jSnkB+XF5Wcm3SDpnZu8zs8tbvXjI9Yb6WUlqDsw3cM45eRnIH/Tf9UPybggF63idrZdbL0l6Zot1hHG1pD9oep0L8n6OV7R47uXNa/ZvNJ1seu6tm9Yb3BC6WlJS0ummz/MueRn9QPP3pVebf3/lnGv1O32JpAlJX2pazz/67weAoUaACwCD47Z/ygYnJX1qU7A85Zz7qTaveVJexqb5+dPOuVf4j6/Ju4gNNAfKO+2f5JXPTvb48T8vr6T1+c65GUnf4r/fQnzsaXklwd4HeH2EB5oePynp5Zu+Txk/a71jnHNnnHNvcM5dLq8M+E/M7Fpt/3O9VdJHJF3pnJuV17u9+eve/HN/krp3Ul72tHkdE865v/LXf6tz7kXygjEn6bfbvE6Y9bZzWl5QHbhqm+f/lbxs+9Xyym8/LEn+2++RV1Z9wHktAF9ts441/+92vwsnJf3Epu9L1jl3e4vXelze90f+Osz/eoJj6YOSjprXP/49Wg9wT8rLlh9s+hwzzrlnNL32dueLbs8nnSzIC3af0bSeWedc2BtaADAwBLgAMDhnJR3x+/PC+HtJTzaz/8vMkv6f5zb1L252p6RVf7hN1sziZvZMMwsG93xFXk/gfjM7LC9Dt1v+Qt5F/IfNG6gUM7MDZvbLZvaK7T5YXk9xQdKSeQOgfq2Lz/0hSa/0B+qk5GUhmwOdd0r6zaDk1Mwu8fsud5SZfZ+tD8a6KC8gqWv7n+u0pAvOuaKZPU9e5q+T/ynpF8zsX5nn2jbltJu9R9JP+hlYM7NJ8wZGTZvZU8zsW80sLako72dRb/M63a632Qck/ZJ5Q8WOyOuPbssv516Q9zV/zDkXDGublPf9PS9JZvaj8jK4rV7jvLwA9If935Ef08YbBO/01/QM/7Vmzetzbrf+7zKzl5pZUt6NmZK8fvjgc83L6yd/2Hm9+HLOnZbXn/175m2nFTOzJ5nZ5tLuTs5KusbM+r628zPP75H0+2Z2qSSZ2RXWXf8+AAwEAS4A7L6/s4374P61//5/kXSfpDNmtrDdi/h9cN8hrw/ucXllnr8trzey1fNr8vo7nyXpYa0HArP+U/5CXv/jI/Iurt+/9VXC88tu/12btZTkDZr6mryBSivyAvCDku4I8fL/Q14v44Kkz8srlwzFOXefvEDpffIyhDlJ5+QFHpL0B/Iyjh83s1X/9Z8f9vW78FxJd5hZzv98P+OceyjEz/X/lvRWf22/Ki+Iass590F5Pcq3SlqV9DeSWk6F3vRxX5T0BnnDuy7KG3D2ev/htLyhQwv++i6V9EttXqqr9W7y6/JKfB+Wd0z+RYiPuVXesdXo/3bO3S/p9yR9Tl7gd72kYx1e4w2SflFe6foz5Aek/mv9tbyfx/v88vivSnp5qxdxzj0ob1jTH8n7Xr1S3jZh5U7r9b1O3nC0++V9/z+kcGX9gQ/6fy+a2V1dfFw7/0neMfB5/+v+J3lVFAAw1MxrYQEAYDyYNyV2SdJ1zrmHB70eAACwc8jgAgBGnpm90rxBVZPyJtveq/bb3AAAgIgiwAUAjINXyyv/fVzSdZJe6yhhAgBg5FCiDAAAAAAYCWRwAQAAAAAjgQAXAAAAADASEoNewE47ePCgu+aaawb2+dfW1jQ5OTmwzw/sJo5vjDqOcYwyjm+MOo7x8fGlL31pwTl3SavHRi7Aveaaa/TFL35xYJ9/fn5eR48eHdjnB3YTxzdGHcc4RhnHN0Ydx/j4MLNH2z1GiTIAAAAAYCQQ4AIAAAAARgIBLgAAAABgJBDgAgAAAABGAgEuAAAAAGAkEOACAAAAAEYCAS4AAAAAYCQQ4AIAAAAARgIBLgAAAABgJBDgAgAAAABGAgEuAAAAAGAkEOACAAAAAEYCAS4AAAAAYCQQ4AIAAAAARsJAA1wz+19mds7MvtrmcTOzPzSz42Z2j5k9Z6/XCAAAAACIhkFncN8r6WUdHn+5pOv8P2+U9I49WBMAAAAAIIIGGuA65z4t6UKHp7xa0v92ns9LmjOzy/ZmdQAAAACAKBl0Bnc7V0g62fT2Kf99AKD3fPohfe87bh/0MgAAADAkEoNewE4wszfKK2HWoUOHND8/P7C15HK5gX5+YDcN2/H9qXtL+uqZ6lCtCdE2bMc4sJM4vjHqOMYhDX+A+5ikK5vePuK/bwPn3LslvVuSbrrpJnf06NE9WVwr8/PzGuTnB3bTsB3fHz79ZdXOnB6qNSHahu0YB3YSxzdGHcc4pOEvUf6IpNf505RfIGnZOXd60IsCMByKlZoqNada3Q16KQAAABgCA83gmtlfSToq6aCZnZL0a5KSkuSce6ek2yS9QtJxSXlJPzqYlQIYRsVKrfH3ZHrYC1IAAACw2wZ6Reic+8FtHneSfnqPlgMgYkqVuiQCXAAAAHiGvUQZANoqVv0MbrU+4JUAAABgGBDgAois5hJlAAAAgAAXQGQVm0qUAQAAAAJcAJG1nsGlRBkAAAAEuAAiLAhwS2RwAQAAIAJcABEWDJcKhk0BAABgvBHgAoiket2pHAS4lCgDAABABLgAIqrUtDUQQ6YAAAAgEeACiKjmoJYMLgAAACQCXAAR1dx3SwYXAAAAEgEugIhqztoyZAoAAAASAS6AiKJEGQAAAJsR4AKIpOYAl31wAQAAIBHgAoioDSXKBLgAAAAQAS6AiNo4ZIoSZQAAABDgAoio5rJkhkwBAABAIsAFEFFB1jYZN0qUAQAAIIkAF0BEBUHtbDZFiTIAAAAkEeACiKggwJ2bSJLBBQAAgCQCXAARVax6Wdu5bFKlKhlcAAAAEOACiKj1EmUyuAAAAPAQ4AKIpFK1rmTcNJFOkMEFAACAJAJcABFVrNSUScSVScTI4AIAAEASAS6AiCpW6kon48ok4wS4AAAAkESACyCiSpWaMsmYMskY2wQBAABAEgEugIgqVmvKBBncak3OuUEvCQAAAANGgAsgkoqVup/Bjcs5qVwjiwsAADDuCHABRFIwZCqdiPlvE+ACAACMOwJcAJFUrKyXKEteTy4AAADGGwEugEhqLlEO3gYAAMB4I8AFEEnFas3fJijWeBsAAADjjQAXQCSVKnVlEnFlEkEGlwAXAABg3BHgAoikYmMfXEqUAQAA4CHABRBJ60OmYo23AQAAMN4IcAFEUrG6ecgUAS4AAMC4I8AFEDmVWl21uvN6cBtDpihRBgAAGHcEuAAiJ8jWppMxpRkyBQAAAB8BLoDICQZKZZJxpf0MbokAFwAAYOwR4AKInCBb65UoM0UZAAAAHgJcAJFTqq6XKLMPLgAAAAIEuAAip7lEORk3xUwqVglwAQAAxh0BLoDIaZQoJ+MyM2WScUqUAQAAQIALIHoaGdyEdwrzAlwyuAAAAOOOABdA5DRncCUv0C2xDy4AAMDYG2iAa2YvM7MHzey4mb25xeNXmdknzezLZnaPmb1iEOsEMFyCfttGgEsGFwAAABpggGtmcUlvl/RySU+X9INm9vRNT/vPkj7gnHu2pNdK+pO9XSWAYVRqDJnyTmFpenABAACgwWZwnyfpuHPuIedcWdL7JL1603OcpBn/37OSHt/D9QEYUlszuLHG1kFAFNTqTl969MKgl4ERcfJCXqeXC4NeBgAMhcQAP/cVkk42vX1K0vM3Pectkj5uZv9B0qSkb2v1Qmb2RklvlKRDhw5pfn5+p9caWi6XG+jnB3bTsBzfX32kIkn64h2f02TSVMwVtLaqoVgbom2vjvFPnaroz75a1u98S1aXTjAOA/35r3cWlE2YfuY5mY7PG5ZzOLBbOMYhDTbADeMHJb3XOfd7ZvZCSX9hZs90zm2oRXTOvVvSuyXppptuckePHt37lfrm5+c1yM8P7KZhOb7v++Rx6WsP6qVHv0WZZFx//vCdWsiVdfToiwa9NETcXh3jH/zLuySd1rXPfLaec9W+Xf98GG2/9eVPKZFN6ujRmzs+b1jO4cBu4RiHNNgS5cckXdn09hH/fc3+vaQPSJJz7nOSMpIO7snqAAytUqUmMynNNkGIoHrd6fYTC5KklUJlwKvBKMiXa8whAADfIAPcL0i6zsyeYGYpeUOkPrLpOd+U9FJJMrOnyQtwz+/pKgEMnWK1rnQiJjOT5Ae49OAiIh44s6KLeS+wXSlWB7wajIJCucYcAgDwDSzAdc5VJb1J0sckPSBvWvJ9ZvZWM3uV/7Sfl/QGM7tb0l9Jer1zzg1mxQCGRbFSawyYkrwhU2QvEBW3H19s/Hu1SAYX/SODCwDrBtqD65y7TdJtm973q03/vl/SLXu9LgDDrVipKZNYD3DTCUqUER3HTizoirmsHlsqaKVABhf9qdedCpUa50AA8DG6EUDkFCv1xh64kleiXCJ7gQgoV+u68+ELeunTLlUiZmRw0beCH9gS4AKAhwAXQOS0KlEu1+qq1elgwHD7yskl5cs13XLtQU1nElohwEWf8mUvsC1VuckHABIBLoAIKlbrSm8IcL1/M2QFw+7Y8QXFTHrBEw9oJpvUKkOm0KdCU4DLmBIAIMAFEEFeD25TibL/b4asYNjdfmJB118xq9ls0svgsk0Q+pSvrN8kIYsLAAS4ACKotKVE2fs3PWgYZmulqr78zSXdfK23nftMhgwu+heUKEucAwFAIsAFEEGthkx57+fiDsPrzkcuqFp3uuVJXoBLDy52Qr60ft4jgwsABLgAIqhYrSm9YZsgSpQx/I59Y0GpREw3XbNPEhlc7Ix8ef0Y4iYfABDgAoggb4pyiwwuQ6YwxI6dWNRNV+9rHK/TmSQ9uOhbodJcosxNPgAgwAUQOV6JclMGNxlkcAlwMZwWcyU9cHpFt/j9t5I0k01orVxTtUZQgt7RgwsAGxHgAoicrfvg+tsEkb3AkPrcQ4uSpJufdKDxvulMUpKUK1GmjN41B7j04AIAAS6AiHHOqVStb9omiCFTGG7Hji9qOp3Q9VfMNt43k0lIEn246Eu+RA8uADQjwAUQKUGGIr0hg+uXKNODiyF17PiCnv/EA0rE1//bDTK4y/Thog/5CiXKANCMABdApAQXcK33waU8D8Pn5IW8vnkhrxdde2DD+2eyZHDRv0JzDy4lygBAgAsgWoIgln1wERW3n1iQpA0DpiRvmyBJ7IWLvrBNEABsRIALIFIaGdzE1hJlBqxgGB07vqhLp9O69tKpDe8PAlwyuOhHvlxr9HNzDgQAAlwAERP02W4oUWbIFIaUc063n1jUzU86IDPb8Ni0H5SwFy76kS/XtH8yJUkqcQ4EAAJcANHSqkQ5FjOl4jF6cDF0vn42p4VcSTdvKk+W1gNcMrjoR75c1T4/wOUmHwAQ4AKImFKLIVOSlE7GuLjD0Pns8db9t5KUiMc0kYrTg4u+FMo1zWSSihmD9gBAIsAFEDHBlNDmDK73dlwltgnCkLn9+IKecHBSV8xlWz4+k0lqlQAXfciXa5pIxTkHAoCPABdApARZ2nRiYwY3k6REGcOlWqvrjocv6OYnHWj7nOlMQisFSpTROy/ATSid4BwIABIBLoCIabUPruQNmqJEGcPk7lPLypWqLcuTAzPZpFZLZHDRu3y52sjgcg4EAAJcABFTajFkynubizsMl9uPL8hMeuETyeBi9zSXKBfZJggACHABREurbYK8tynPw3D57PEFPf2ymcaE21bowUU/anWnUrWubCqudCLGNkEAIAJcABHTtkQ5GW8Ev8CgFco1ffmbS3pRh/Jkyc/gsk0QelTwz4cTqbjSZHABQBIBLoCIaeyDm9h4+kon4mRwMTS+8MgFlWv1lvvfNpvJehlc59werQyjJF/2bo5MpBLKJNgqDQAkAlwAEVOs1JSImRLxzT24lOdheBw7saBk3PTca/Z1fN50JqFKzXFzBj3Jl9YzuJlknHMgAIgAF0DEFCv1LeXJEkOmMFxuP76oZ1+1TxOpRMfnzWSSkkQfLnqSLzcHuDGVKFEGAAJcANFSrNa2TFCW/CFTXNxhCCzly/rq48u65Umdy5MlL4MrSSsEuOhBoeKVKGdTCb9Ng5t8AECACyBSipWa0okWGVwu7jAkPndiUc5Jt1zbfnugwEzWy+AyaAq92JzBpdQdAAhwAURMqVJvk8H1AlyG9WDQvvToRWWSMd145dy2z50JMrgFMrjo3sYAl0nyACAR4AKImHYZ3HQiprqTKjUCXAzWxXxFBybTSsa3/y92vQeXDC66t2GKMnMIAEASAS6AiGnfgxtvPA4MUq5U0WR6602YVqYzQYkyGVx0b0MGN+ENmaKKBcC4I8AFECntpyjH/McJcDFYa6WaJtOdpycHZrLe88jgohcFP8DNpuJKJ+NyTirX6MMFMN4IcAFESrFSaxngpv33lRiyggHLlaqaChngZpNxxWNGDy560sjgJuNKJ4KbfJwDAYw3AlwAkeIFuB1KlMngYsC6CXDNTDOZBBlc9CRfrimViCkRjzXOgSXOgQDGHAEugEgpVurKtNwmiOwFhsNaFwGu5PXh0oOLXuTLVU2kvPNhI8BlP3AAY44AF0CklKq1RjlyM4ZMYVjkitXQPbiS14dLBhe9yJdrmvDPfeslypwDAYw3AlwAkVLssA+uRA8uBss5p1y5qulMFxncdJIeXPSkUK4puymDSxULgHFHgAsgUtoNmWKKMoZBvlyTcyKDiz3hlSh7x1rjHEgVC4AxR4ALIDKqtbqqdde6B5cSZQyBtZIXqNKDi72QL9e29uCSwQUw5ghwAURG0R+e0rJEOUF5HgZvtYcAdyaTJIOLnjQHuPTgAoCHABdAZAQXbpQoY1gFGdxuSpSnMwnlSlXV6m63loURtbFEmSoWAJAIcAFESKlDBjfNPrgYArleMrjZpPexZHHRpQ1DpqhiAQBJAw5wzexlZvagmR03sze3ec73m9n9Znafmd2612sEMDzCZHDZAxKDFASp3fXges+lDxfdyleae3CpYgEASQr/P/AOM7O4pLdL+nZJpyR9wcw+4py7v+k510n6JUm3OOcumtmlg1ktgGEQXLilWwyZSsVjMuPiDoO1VvYD3C62CZrJeBlcAlx0y+vB9Y61oIqFm3wAxt0gM7jPk3TcOfeQc64s6X2SXr3pOW+Q9Hbn3EVJcs6d2+M1AhgiQeldqxJlM1MmESfAxUAFGdzJ9NabMO3MBBncAiXKCK9aq6tcrTNkCgA2GWSAe4Wkk01vn/Lf1+zJkp5sZsfM7PNm9rI9Wx2AoVPqUKLsvT9G/xkGKlfyjtHpdDL0xwQ9uKtkcNGFvH8+bA5wzdbPkwAwrgZWohxSQtJ1ko5KOiLp02Z2vXNuqflJZvZGSW+UpEOHDml+fn6Pl7kul8sN9PMDu2nQx/dXznkZrvvv+YqK39wa5Fq9qkdOPqb5+YW9XhpGRL/H+H1fL8skff7Yp2VmoT7mXN67KXPnV+5V6vzXev7cGC8Xi95xc/LhE5qvfVOSlDTp6w89qvn50y0/ZtDncGC3cYxDGmyA+5ikK5vePuK/r9kpSXc45yqSHjazr8sLeL/Q/CTn3LslvVuSbrrpJnf06NHdWvO25ufnNcjPD+ymQR/f+XtPS3fdpZtf8Fw99fDMlsdnvzivuYOzOnr02QNYHUZBv8f4/Mp9mnr8lF7ykpeE/piLa2Xp05/QFddcq6O3PKHnz43x8vDCmjQ/r2dd/zQdffYRSdLEpz+uQ5ddrqNHn9nyYwZ9Dgd2G8c4pMGWKH9B0nVm9gQzS0l6raSPbHrO38jL3srMDsorWX5oLxcJYHg0pii3GDIleSV69J9hkHKlqqa7mKAsrQ+kogcX3cj7A82CIVNScA6kTQPAeBtYgOucq0p6k6SPSXpA0gecc/eZ2VvN7FX+0z4madHM7pf0SUm/6JxbHMyKAQza+pCpdj24DJnCYOWKVU12GeAm4zFNpOL04KIr+fLGHlzJPwdWOQcCGG8D7cF1zt0m6bZN7/vVpn87ST/n/wEw5tb3wW19by6TjKlE9gIDtFaudrVFUGA6k2CbIHSlZYDLJHkAGGiJMgB0JchMdMzgkr3AAK0Wq5rqMoMreXvhrhYpUUZ4Bb9EOZtcP94yyRj74AIYewS4ACIjKFFOxVufuujBxaCtlXoLcMngolutMrhpMrgAQIALIDpKlZpSiZhisdbbr3g9uGQvMDi5Uvc9uJK3Fy4ZXHSjEeCmmwJc9gIHAAJcANFRrNSUSbQ/bdF/hkHL9ZzBTWqlQAYX4bWaosygPQAgwAUQIcVKvW3/reT1n3Fxh0FxzvVcojyTSZDBRVeCDG42uXGKcpkeXABjjgAXQGQUq7VtAty4ilzcYUAKlZrqTj2VKD2PzjUAACAASURBVE9nklopVuRtHgBsr1CuKZ2IKd7UssEcAgAgwAUQIcVKre0WQZKU9rMX9TpBAvZeruRlYHvZJmgmm1Cl5piAi9Dy5dqGAVOSX8XCMQRgzBHgAoiMMCXKkggSMBA5v8R4Kt3+GG1nOpOUJPpwEZoX4G68mcIcAgAgwAUQId6QqQ4Brv8YF3gYhLWSd9xNpZNdf+yMn/VdoQ8XIeXL1RYZXC/ApdQdwDgjwAUQGcVqXekOJcpBdpcMLgZhteRlXyd7yODOZP0MLnvhIqR2Jcp1J1Vp0wAwxghwAURGqbLdkCnvlEYGF4MQZHCn+8jgMkkZYRXKNWU3BbhpqlgAgAAXQHQUtw1w/Yu7Khd32Htr/pCpnjK49OCiS/lKdWsPbuMmH1UsAMYXAS6AyChW6sokOpUoc3GHwVntY4pyMGSKDC7CalWinE6SwQUAAlwAkbHtPriU52GAggzuVA/74M5kgyFTZHARTr7UqgeXOQQAQIALIDLC7IMbPA/Ya7liVTGTsh1uwrSTTcYVj5lWCXARkjdFeePNlHSCOQQAQIALIBKccypVw+2DS4kyBiFXqmoynZCZdf2xZqaZTEIrBUqUEU6hsnXI1HoGlwAXwPgiwAUQCeVaXc4p1JApLu4wCLlStafy5MB0JkkGF6FUanVVak4Tm86HmQQ3+QCAABdAJAQXbOmOQ6YoUcbgrPUZ4M5kE1phyBRCyJe9c9xEevMUZW7yAQABLoBIKPlBa+chU2QvMDhBiXKvptNkcBFOvuzdCNk6RZlzIAAQ4AKIhOCCLdQ+uGRwMQC5UlXTPWwRFJjJ0oOLcBoZ3M09uEySBwACXAynx5cKjS03AMnbIkhSxynK6wFu99mLE+dzqtddb4trspQv6/xqqe/XibLj51Z35HsZNWulqiZT9OBi9xX8AHfzxO5+zoEAMCoIcDGUXvOO2/X2Tx4f9DIwRIKMRJChaCUeMyXj1giGwzq9XNC3//dP6Z8eONvXGiXp1z5yn3761rv6fp2oOrtS1Hf8/qf1t3c/Nuil7Llcsb8S5ZlMkh5chLKewd3cg+td1tGDC2CcEeBi6FRrdZ1eLurxpcKgl4IhEqZEWfIC4G7L884sF1V30vlc/5nX86slLYxxBjf4Xt758MVBL2XP9VuiPJ1JKFeqqjaG2W90p9GDm97Ug5sggwsABLgYOkEGY6lAqR7WNTK4HUqUJSmdjHd9cRcca0HZXz/y5VojuzKOgu/l3SeXBrySveWc84dMdb4B08lMNinJywQDnbTrwU03Bu2N7zkIAAhwMXSW8mX/bwJcrCuGmKLsPR5rTFwOa9k/1nYiMC2Ua43syjgKfn8fPLu6IzcMoqJYqavupKl0sufXCLK/K/ThYhuNADe5sWIgFjOlErGu2zQAYJQQ4GLoBBmgZTK4aFKsbr8PbvB4txd3QVC2EwFuvlJVYYyzJ8Hvba3udP/p5QGvZu+slryve6qfDG7GC44JcLGdgn8TLZvaerxlEjGVKFEGMMYIcDF0gmxaEHQAUjcZ3N5LlHeirK9QrqtSc6rUxvMCs7ny4isnxyfAXSt5x85UP9sE+R+7SokyttGuRFnyzoEMmQIwznr/nxjYJUsFL7BdLlRUrzvFYjbgFWEYBGXH6W16cL0At9sMblCi3H9gEWRWCpWakvHxu4e4lK9oMhXXbDY5Vn24wbZm/WwTFPTgrlC9gm3k22wTJHnnSIZMARhn43f1haEXZHDrTsqNcS8jNgo9RTkZ6zrADQKKfkuUnXPK+597nPpPmy0XKpqbSOnGK+d096nxCXCDrGs/GdxpMrgIKV+uKpuMt7wB3MskeQAYJQS4GDrN05OXGTQFX5h9cIPHBzVFuVSty/k7vIzrJOXlQlmz2aRuvHJOjy7mx6bVIMjgTvW5D65EDy62ly/XWpYnS71VsQDAKCHAxdBp7uFjkjICxWpNMZOS8c4l65lkvOchU/0Oh2oOkMc1g7uUr2huIqkbjsxKku4+NR59uLmgRLmPAHeKDC5CKpRrLQdMSf4k+SolygDGFwEuhk7z9OSgHxcoVurKJOMy6xzgppPdTxBd2qES5XxTgFyojGeQslTwAtzrr5iV2fjshxsEuNN9BLjJeEwTqTg9uNhWpwxumhJlAGOOABdDZylfbgzOIIOLQLFS27b/VuqtPC8ohe8361po6hkf1xLlpXxFs9mUpjNJXXvJ1NgFuP1kcCWvD5cMLraTr9SUbTPQLMOQKQBjjgAXQ2epUNHVByYa/wYkP4O7zR64kteD2015nnNuPYPbZ9a1OagdxwDXOaflQllzE14vqTdoalkuaEweYWulqsxab9vSjZlMkh5cbCtfqmqyXQa3hzYNABglBLgYOsv5iq7aP+H/mxJleIrVsBnc7qYo50pV1epeAFYo95f1aM4Aj2OJYL5cU6XmNOdvd3PjkVkt5Ep6fLk44JXtvlypqqlUYtsS+u2QwUUYHYdMJeJdt2kAwCghwMXQWSpUdOlMWtlknBJlNJQqNaVDlihX607VWrgLvOAYm8kkNpQY96K5B3ccM7hBJrw5gyuNRx9urljta4ugwEyWDC62V+hQopxOxlQigwtgjBHgYqjU605L+bLmsinNTSQpUUaDN2QqRImy/5xiyDLlYKjZZbNZ5Su1vsppC2NeohxMo57NpiRJTz08o1Q8NhYB7lq52nf/rSRNZ5JkcLGtfLmqiTY3/HrZKg0ARgkBLoZKrlxV3XkZoNlskgwuGoqV2rZ74EpqlDGHLREOjrHL5jJyTn1tr5HfsE3Q+AUpwbCuIIObSsT09MtndPep0Q9wV4vVvvbADcxkEkxRxrby22wTNI4tEgAQIMDFUAkukGezSc1NJLXMNkHweT244YZMSV0EuP4xdtlsVlJ/k5QLG7YJGr8LzKDiYtbvwZW8Ptx7Ty03+pxH1VppZwLcaX/I1DgM5kJvnHPKl2uaTLcLcLtr0wCAUUOAi6Gy1MgApTSXTZHBRUOwD+520kGJcsgSveAYu3w2I2ljH223gqxtPGZjWqK8MYMreX24a+WaTpzPDWpZeyJXqrYNOLoxk02oUnN9VRJgtJVrddXqThPtenD9afMcQ9js3EpRH7339KCXAew6AlwMleWmITVeBpcAF55S6CnK3WVwg2PssB/g9lNaHAS1+yZSfe+pG0WN31+/B1daHzT1lRHvw10r1TSVTm7/xG1MZ7zXoEwZ7QTnlmy7Htwuz4EYD3d986K+648+q5/6y7u0kCsNejnAriLAxVAJykXnsknN+kOmKNWD1M2QKe/iLuwU0eVCRdlkXHMTXlDWT+a1UK4pnYhpMh0fzwxuoaxUIrbh5/SEA5OaziR0z4j34eZKVU3tRAbXn8S8wqAptBGcW9puE9TloD2Mvg996ZRe+67PN25CLuZo/8JoI8DFUAlKHGcnkprLplSu1pkGCUleNiIdZshUotsS5bLmJpKNi8V+e3AnUnFlk/Gx7MFdzlc0l01u2As2FjPdcGRWd59cHuDKdpdzzgtwd2KboCCDy1ZBaCMIcNsPmSKDC0+1Vtfb/v5+/cIH79Zzn7BPf/ADz5IkLa6RwcVoI8DFUFkubBwyJa1ndTHeSiF7cHuZojybTTYuFvvpwc2Xa5pIJTSRio9lifJSvrKh/zZw45E5PXB6ZWQvuEtVrydyJ7YJmsl6r8FWQWgn77dRTLbtwfWrWLg5PNaW8xX96Hu/oD/97MN6/c3X6M9/9Hl64iVTkqQLa1xXYbQNNMA1s5eZ2YNmdtzM3tzhea8xM2dmN+3l+rD3lvJlTaTiSifimvMnsTJoCrW6U7nWXYly6AxuobJzGVx/646JVKJxETpOlgrlDf23gRuvnFO17nT/6ZUBrGr3BcHo9A5NUZbowUV725UoNwbthWzTwOg5fm5Vr377Z/X5hxb1O6+5QW951TOUiMe0f9I7PxPgYtQNLMA1s7ikt0t6uaSnS/pBM3t6i+dNS/oZSXfs7QoxCEE2TfLKlIP3YbwF/bThMrhBiXLIHtx8RXPZVGNgSz+9s/lyVdlkXJnkmPbg5iuN39tmz/IHTd0zooOm1kp+Rm1H9sH1vn9kcNFOYbsS5S63SsNo+ecHzuq73367cqWa3vfGF+j7n3tl47F9/vmZHlyMukFmcJ8n6bhz7iHnXFnS+yS9usXz3ibptyUV93JxGIylQlOA6//NXrgIsrFBf20njQxuyOzFUqG8oUS5n97ZQiXI4MbH8uJyuVBpVF40OzST0aGZtO4+NZp9uLkdDHCnG0OmuLGH1tYzuK2Pt+AmHyXK48U5p7d/8rh+/H9/UU84OKmPvOkW/aur9294TiIe09xEkgwuRt4gA9wrJJ1sevuU/74GM3uOpCudc/+wlwvD4Cw39fAFU23J4CIIFkNlcBNdlijngxJl72Kxn22CCmVvyNREanwzuK16cCWvD/fuEc3gBgHuTpQoT6TiisdMqwS4aCNof2g/Rbm7SfIYDX8yf0L/7WMP6lU3Xq4P/uQLdflctuXz9k+mCHAx8vr/33iXmFlM0n+X9PoQz32jpDdK0qFDhzQ/P7+ra+skl8sN9PNH3WMLeR2ejGl+fl7Fqrc90F1f/ZoO5x8a8MogDe74PrPmBasPHf+65rc5Fso177h54MFvaL766LbPLVXrWjxzUnfefkaSdP/XT2i+frLjx7VzfimvZCWmxaJptVAdq3NBueZUqNR04cwpzc+f2/L4TKWshxYq+odPfFKTSWvxCsOhl2P8y+e8gONr992t8qn+twrKxJ0eOPGo5ufP9P1aGD13P+rd/PjyF+/QidTW36XgfHnXPfcps/Dghse4Rhld//iloq6cjum7Dy3p88c+0/Z5iWpBJx4rjOxxwDEOabAB7mOSrmx6+4j/vsC0pGdKmve3nDgs6SNm9irn3BebX8g5925J75akm266yR09enQXl93Z/Py8Bvn5o65y7J903VWX6ujRG+ScU/KTH9X+y67S0aNPHfTSoMEd3/c/viJ95jN69vXP0NHrL+v4XOec9InbdPmVV+vo0ad0fO6Z5aL0iX/Wc57xVH3r869S6p8/qkOXX6mjR5/W0zrt8/+iq67Yr8MzGf3LyYf04he/eMOWOaPs3Ir3vXz2M56ioy+4esvjySML+tA37tDsNdfrRdcdHMAKw+nlGF/+ymPSXV/Ri29+vp7kTyntx4E7P6mZ/XM6evTZfb8WRs8D8yekB76mbz/6LS37cB9fKkif+Rc98don6+jzrtrwGNcoo+u/3fMZXXcwo5e85Lkdn3frN7+oRxbXdPToi/doZXuLYxzSYEuUvyDpOjN7gpmlJL1W0keCB51zy865g865a5xz10j6vKQtwS1Gh3PO68H1SxzNTLPZFD24aPTThilRNjOlEzEVq9uXKAdbUAVltROp/vavLVbWS5RrdaeKn00eB0tNW3y18swrZiVJd58avTLloER5agdKlCWvD3eFIVNoo1Cuykxtp8qzD+54WsyVdXBq6xT7zQ5MUaKM0TewANc5V5X0Jkkfk/SApA845+4zs7ea2asGtS4MTrFSV7la37DNyNxEkh5cNC7U0iG2CZK8C7wwF3fBsRUMRproc/pxsA9uttHPOz4XmI3vZZse3NlsUk+8ZFJfGcE+3FxxZwPcmUySHly0lS/XlE3G21aHNIZMhbjJh9HgnNPiWkkHptLbPnf/ZEoX8xXV6+NzAxbjZ6A9uM652yTdtul9v9rmuUf3Yk0YnM3ZNMkLPJbZD3LsBdNAw2RwvefFugpwg6qBbCrec1Bar3s9qNlkvDH8JV+palatA75Rs5T3f39b7IMbeNaROX32+MJeLWnPrJW8jFq7oT/dms4k9OhifkdeC6Mn71eKtJPuctAeom+lUFWl5nRgcvsM7v7JtGp1p5VipTHMExg1gyxRBjYIAtnmbUbI4EJqmqKcCBvgxkNd3K0Ex5z/n3w2FW9MKO16jdX1vSl3Yk/dqGn8/rbJ4ErSjVfO6dxqyet9HiGrpaqmUokd67eeyZLBRXv5UrXtFkGSFI+ZknELvVUaom9hrSRJumR6+wxuEAQvUqaMEUaAi6GxOZsmye/B5UJv3K334IYsUU6ELFEOqgYaJcqJnntwC429KePre+qOYYA72yHAveGI14c7amXKa6XqjuyBG6AHF53ky50zuFL4cyBGw8KqF+AemAxXoiyJPlyMNAJcDI31fsjNPbichMddsZcS5TBDpvIVJePWuFjsp0Q5yNY2lyj3M7AqapbyFcVj1nEv2KddNqNk3EZu0FSuVNVkemfKkyWvBzdXqqpGjxxaKFRqLacnN0uHrGLBaAiysQenw5Qo+xncHNdWGF0EuBgay216cNfKNZUZljHWGiXKIQPcdDKuUqgMbkWz2VSjtHQi1fuQqSCYnUgl1ntwxyiDu1Qoazab7Fimm0nG9bTLZnT3iGVwc6WapjI712s9nfFuEuTI4qKFMBncdCKmEiXKY2MxFz6De2CKDC5GHwEuhkajRHlTD64kypTH3HoGt4spyiFuiiznK5rNrmccs8netwlqZHBTsUYgXuixnzeKlvKVDf3z7dx4ZE73nloeqQmea6WqpnYyg+t/H1fow0UL3hTlziXxmWSsMZwPo+98riwzaV+HFpHAeolyabeXBQwMAS6GxlJhY7moJM36w3/YC3e8dT1kKhELmcEtb5gi2U+JcqFRopxoDIAZpxLl5aY9rDu54cisVktVPbSwtger2hu5YnXHtgiSpBk/g0uAi1by5e1L4sNulYbRsJgraf9ESon49pf16URcU+kEQ6Yw0ghwMTSW8hvLRaX1bC6TlMdbsVpTKh5TLBZuSm03++A2Zx37K1GuNl5jLEuUQ2Zwn3XlnCSNVJlyboeHTM345c6rlCijhVBDppJxpiiPkYVcqVF6HMa+ySQlyhhpBLgYGsuF8pYtRuYIcCFvH9x0yPJkKdgHN9yQqeasYzblTVHupXw2P+ZTlDdnw9t54iVTmkonRmrQVK5U7Thcq1vTfoC7QmsGWihQooxNFnNlHZzavv82sH8yTYCLkUaAi6HRKgMUBLxLXOiNtWKlFnrAlBQ+e7FcqGyY2h3sX1vqYahZEOBmkuO5D65XgbF9BjceM11/xazuPrW8B6vafc65Hd8maMbvCyeDi82cc8qXqyGGTJHBHSeLa2Ud6CLAPTCZIsDFSCPAxdBYyldaZHBT/mOciMeZF+B2k8HdvkS5UqsrV6puOObWS4u7DyyKlfUMbjIeUzJuY9ODW63VtVqshgpwJemGK2f1wOMrIzHltVStq1p3msrsQgaXHlxsUqrWVXfadpugsFUsGA0LqyUdmAxforyfABcjjgAXQ2PZ37Kl2XQmITOmKI+7YqUeesCU5A2ZKlbqcq59qXFwTM1tKFHuPfO6XqLsBTrZZO8Dq6Jmxc80br5B1c6zjsypXKvra6dXd3NZeyJX8r72nRwyFWwTRAYXmwXnmcntAtwEQ6bGRbFS02qpqkumu8vgLq6VO/4fCUQZAW5EOef0hUcujNTJaSm/tQc3FjPNZpMEuGOuWO2uRDkdotS41bZUQQa3l8zreolyzH+tRE+Z4CgKKizCBrg3BoOmRqAPd80PcCdTOxfgJuMxZZNxenCxRXBOmdjmeEsn4z21WgyjYqWmr4zQULqdFkxD7jaDW67WtTYmN2ExfghwI+r2E4v6vnd+bmRO+pWad6JtNYV1LptkyNSYK1XqXZcoBx/XznoGd2sPbi+Z10K5qmwy3pgCnu1jInPUNL6X2XAXWJfNZnRgMqUHTq/s5rL2RJBl3ckSZcnrwyWDi80a25Ft24MbG5kM7v/8zEN6zTtup2S/jcWct59td0Om/L1wc5QpYzQR4EbUo4t5SdI3L+QHvJKd0apcNDA7kWLI1JjrNoMbBMOdhqwEeys331Tpp0S5UNm4dUd2jPahDH4/w+yDK0lmpsvnsjq9XNzNZe2JtV0oUZa8Plwu6LFZ87T2TjLJ+MhMUf701xdUqzstc6O7pUU/SO1mm6DguYtrpV1ZEzBoBLgRdWbFuzA8uxL9C0SpqVy0xTYjc9mklhkyNdaKlbrSXfXgxv2Pax9gBsfcxiFTXpAS7GnbjXy5tiGr0s+eulETXHiG2Qc3cGgmrTMjEODuRg+uJM1kyOBiq3zIDG4mGVO5Vlethy3Phkm+XNWXT16UxCyOds73lMH1nsugKYwqAtyIOucHtmeWR+PuW5BNazWFdW4iSQZ3zJV6mKIsqeMU0UaA21RWO9FPBre8KYM7RgHueg9u+AzCoZnMSNygCwLcndwmSCKDi9aCHtzter4bbRoRn1R+58MXVKl5QTo3fFrrKYM7GWRwCXAxmghwI6qRwV2N/gWi1Bxs0IOLrbrfBzfW+Lh2lgoVma1PrJX668HNl2uNjw9ea1ymKAc3oGa66EM9PJPRxXwl8hfgQYA7veM9uEku6LFF2BLldMI7B0a9TPn2E4uNf3PDp7WFXEkTqfi2g8ea7Qt6cAlwMaIIcCMqKO07OwIlflLrctHA7ERKK8VK5Eut0LtitbchU50C3OV8WTOZpGIxa7wv28cU5UJla4nyuOyDu5SvaDqTUCIe/md0aDYjSTq3Eu0qlLVdy+AmmKKMLcIOmWqcAyN+A+mz31jQFXNZSWRw21nMlboqT5a8baZSiRgBLkZW6KsRM7vazL7N/3fWzKZ3b1nYTlDad2YESvyk9QxQqymss9mknJNWuXs7toqVWnf74DaGTHUoUS5UttxQ6b9EuSkbnEqMTYnycovv5XYOz3gBbtTPYTn/onuiiwqDMGYyXgZ3lLaCQ//CbhO0XsUS3QzuhbWy7j+9ou98xmFJXAO0s7hW7qo8WfIG/R2YTBHgYmSFCnDN7A2SPiTpXf67jkj6m91aFDorVmq6mK8oHjOdWymNxAXQcr68pVw0EJQtU6Y8npxzKlZqSneRwU2HHDK1uSQ+CKJ7CUzz5erWDO4Y7YMbdougwGE/gxv1QVO5Uk1T6cSGSoCdMJ1JqFyrj8xeptgZ+UrIKcohzoHD7nN+efLLnukFuCuF8Tifduv8akkHJrvL4EreVkEEuBhVYa8Yf1rSLZJWJMk59w1Jl+7WotBZUNL31MPTKtfqI3GCWipUNJtNtrxIDDJDDJoaT5WaU92ptwzuNj24m6d2x2KmTLK3/SMLLXpw85XaSNyA2k6rbPh2DvkZ3KgPmlorVTWZ3tnsreT14Er0HWKjfKmmmK332LYT3BCM8g2SYycWNJVO6DlXzSmbjJPBbWNxraxLpru7wSh5AS5DpjCqwga4Jedc47fAzBKSRv+qbUgFJX03Xjm34e0oa5VNCzQCXLYKGktBD1k3Q6aCDG6nASvL+XLLY24ilWiUAXZjyz64qbici/YFZljL+UojIAtrJpNQNhkfgQxudce3CJLWB3aRtUKzvN8KYda5YmAUMri3H1/QC564X4l4TNNsm9VSve50Ya3cUwbXK1GO9gwEoJ2wAe6nzOyXJWXN7NslfVDS3+3estBJI8A9Misp+hkQqXU2LTDrlz6yB954Ci7Qehoy1WHASrusYzbZ2/Y+rfbBlXqbyBw1S4X2N6jaMTNvL9yIn792L8D1vp9krdCsUKluO2BKktIhBu0Ns1MX83pkMa+bn3RQklfRQDXDVksFbwDnwS57cCVvL9wLORIHGE1hrxjfLOm8pHsl/YSk2yT9591aFDoL9sC94YifwR2BvXDbZdOk9QwuAe54CrKw6R3cJqhed95gpJYZ3O6396nVnUrVuiaS64FOY2BVRC8ww6rXndeD22WJsjQae+HmSlVN7fAWQdL6PIIVslZokt+033Y7UR8ydftxr//2lmu9AJcMbmuLOe/670CXU5S9j0lprVyL7E0QoJNQAa5zru6ce49z7vucc9/r/5sS5QE5s1xUJhnTtZdOyWx0MrjtLpBnGTI11tYzuN0EuEH2ovXFnTedVi2rBrI9bO8TPD+bWj+lZhp76o72RVmuXFXdtZ6Avp3Ds5nIZ3DXSlVNdrH/ZFhByTcZXDTbvN92O8H5J6r7TB87saCDU2k9+dCUJGk6k+R3oYXzjQC3tx5cib1wsVWhXNN3/P6n9JG7Hx/0UnoW6n9lM7tXW3tulyV9UdJvOOcWt34UdsuZlaIOz2SUjMd0YDI9EgFuu2yaJCXjMU2lEwS4YyoIUjPbDFVplozHFI9Z2zvTy41tqXamRDno2c2mmjO43r8L5WhmUMJa9n8vZ3vI4B6eyeisPwl+u57CYbVa3J0MblCiTA8umuXL1VB7LgdDqDrNIRhWzjndfmJRNz/pQOO8MJNJ6OSF/IBXNnwW/RLjS3rI4DYHuJf7ew0DkvTYUkFfP5tTvR7dXGbY/5U/Kqkm6Vb/7ddKmpB0RtJ7Jb1yx1eGts6uFBsTSA/PRr+HLSgXne3QwzebTWqpwF3GcdTLkCnJC4jbZXCDY6lV1cBEKq6FLvuSin4Q27wX6vqeuqMdoHS6WbCdQzMZlat1LeUr2jfZfQZiGKyVd6cHNyhRJmuFZvlyLdTxFmYOwbD6xrmczq+WdMu1BxrvI4PbWj8lykGAyyRlbHbqoncz6Yp90b3xEfZ/5W9zzj2n6e17zewu59xzzOyHd2NhaO/MSlHPuWqfJC8DcupiYcAr6k+nctHA3ESykSnCeOmlRDl4frvyvKAaoNVNFW+KcneZgnwlyOBunKLsPRa9C8xuBN/LuQ6/v+009sJdKUYywHXO+dsE7XyAO5GKKx4zButgg0K5Fipbl4nwkKljxxckrfffSl4Gl370rRZyZcVj1tMNxvUMbvTnuGBnPbbkxRVHIhzghq35i5vZ84I3zOy5koIrOc44e8g5p7MrJR32M7ijMKSlkU3rcIKem0iyD+6YapQodzFF2Xt+vEMGNwjKth5znT6unaCkeUOAmxyPKcqdsuHbCSpRolqFUqrWVam5XcngmhmDcMbihwAAIABJREFUdbBF6CFTES5RPnZ8QVcfmNCRfRON981kkypX65EM2HfT4lpJ+ydTisW6b/E40AhwubbCRo9dLCgRM106nRn0UnoW9orxxyX9qZk9bGaPSPpTSW8ws0lJ/2W3FoetLuYrKlfr6yXKMxldzFcifdJfzwB1CHCzKfbBHVO9ZnDTyVjb8rxl/1iabTEYaSIV77qsOAhiW5Uoj3yAm++9RDnI4J6N6F64ayXvOOkpwF09I33sV6Rq+/PaTCapFW7soYm3Hdn2x1simEMQsRLlaq2uOx660NgeKLBess8Nn2bnV8uNQLVbM5mk4jEjg4stTl0s6LK5jOI93DgZFmGnKH/BOXe9pGdJutE5d4Nz7k7n3Jpz7gO7u0Q0O+NfCAYXhof8v8+tRPcE1SmbFpjJJtkmaEw1AtxEtz24cZXa3PjpXKLc/ZCpRoDbdOE5LiXKwe/lTA8BblBqGdUMbq6fAPe+v5E+98fS419u+xQyuNgsX65qMkQGV+o8h2BY3fPYslZL1Q39t1LT0DVK9jdYXCvpkunu+28lKRYz7ZtIMUUZWzy2VNCRuYntnzjEwk5RTkt6jaRrJCWCqXbOubfu2srQ0tlV70Lw0Ix3QjvcVOJ31YFoHoxLHbJpgbmJpJbylUhPW0VvitVeS5Q7DZmqaDIVV6rFZOZsKq5Sta5a3YW+e5lvsU3Q+hTl0Q5QlvJlZZPxrjPskpRKxHRwKhXZNosgwO2pB/f8A97fC1+Xrnp+y6fMZJJc0KPBOadCJVyJshS0W0TrBtvtfv/tC5+4McAlg9vaYq6sq/f3fu13YDLVmMQMBB67WNCLrju4/ROHWNgrxr+V9Gp5/bZrTX+wx4JSvkNNPbhStPfCXQ6RwZ3LJlWtO62NeLkntgqysOkehky1u7hbylfaDkXK9jCcpdBim6DgdbrNBkeN973sPnsbODSTaVSmRE3Ov9ie7mWboHNf8/5e+Hrbp5DBRbNipS7nFKpEWeptnsCgHTu+qKdfNrNlKvB0hn2hW1nIlXSwhwnKgf2TZHCxUbla19nVoq6I+NZRYf9XPuKce9murgShBKV8QeP34REIcDuViwaCC+ilfHlXBrpgeK334HY/ZKpd9mu5UG57vK1v71MLnZnLt+jBjcdMqURMhYhlULq1tM0WX9s5PJPR6YgGuGvlHjO4zjVlcL/R9mkzWXpwsS6YDRA2g5tOxNpOkh9GhXJNX3r0on7k5qu3PDaT9X7H2Bd6Xb5cVb5c62mLoMD+qZQeeHxlB1e1O2p1p8+dWIx8VjEKTi8X5Fy0JyhL4TO4t5vZ9bu6EoRydqWog1OpRmnlTDahTDIW2QyI5AW4U+mEkvH2h2NQvrzEVkFjp1ipy0xKdTg+WulYotwh65htlBZ3kcGtbJ2iLHkXoqM+ZGo531+Ae2g2upPgcyXvZ9v1TbfVM1JxWZKRwUVoraa1d5KOWAb3i49eULlW183Xbg1iyOBuFZQWH5jqfYu1A5OpSOyD+/H7zuiH//QOffWx5UEvZeQFW49GeQ9cKXyA+yJJXzKzB83sHjO718zu2c2FobUzy8VGWbLkbSVxeCYT2SEtkrfNyHYXyEEwQjZj/BQrNWUS8a57rzOJDiXKhfYBbiODWwkfWBTKNZl5GZMNr5XsfmBV1CwVyn2VKB+eyWhxrRypTFMgKFHuOsA975cnX/k86eIjUrX1kMCZTFKrpapqddfHKjEqgnPJZOgS5WhlcI8dX1QiZnreNfu3PEYP7lYLOe+8EWZf5Hb2T6a0XKioUhvuGyEnzuc2/I3d85gf4I7FkClJL9/VVSC0MyslXT67cV+qqO+Fuxyih69RokyAO3aK1VrX5clS5+zFUr7SdqhZL/vX5ss1TSS3BuGZMcjgLuUrmuswIG47QZvFuZWSruxjWMogrDWGTHU5YCsIcJ/2KunkHdKFh6VLn7rlacFFfa5U7StLjtHQbYlyp5t8w+j2Ewt69lVzLUv+p1IJmTFFudlOZHD3+1sMXcyXh3rP00cW897fC/kBr2T0nVoqKGbru7VEVdhtgh51zj0qqSDJNf3BHju7UmxsDRQ4PBvtDO5yh2xaYI4S5bFVqtR7mtCbScZabhPknNNKh2Mu28P+te32puxlT92oCfP720lwPoviTbrVIMANmVFrOPeAlN0vXX2z93abMuVg6yUqVyCtn5PClyjHVKoOd2YusJyv6N7HlrfsfxuIxUxTaUr2mwUZ3L56cP0Ad9gHTT26uLbhb+yeUxfzOjSTabnLRJSEWr2ZvcrMviHpYUmfkvSIpI/u4rrQQqla04W1ciPjETg8k9HZlZKci+Y9hzBDatYzuMN9EsbOK1Z7DXDjKrYozytUairX6qGGTIVeY5utOyaSiZEeMlWs1FSq1jXb1xTl6O6Fu1by9iSNhdxOquH816RLniodfLL3drsAl7JMNGkMsxvBDO7nHlqUc+o4RIhtszYKemcPTPafwb0w5FsFNTK4BLi77rGLhcgPmJLC9+C+TdILJH3dOfcESS+V9PldWxVaOrfi3a0LLggDh2YyKlfruhjR7GanctFAJhlXOhHTckS/RvSuWKlt6W0NI5OIq1JzW/oXgyqAue0C3C4uDPPlaqO0uVl2xEuU17+X/ZcoR3FQXq5Y1VS3WwQ55wW4lz5VSk9JM1e0naQ84w/W4aIe0vrU7vD74LYftDdsjh1f0EQqrhuPzLV9znQmwRTlJudXS5pOJ3q6ARw4MOldT17ID2+Amy9XdX7Vu/795gVKlHfbY0uFyG8RJIUPcCvOuUVJMTOLOec+KemmXVwXWghK+A7NbO3BbX48SpxzWg45pGZuIkmJ8hgqVmo9lygHH9+sEZS1OeaCz1XsukS5RYA74kOmgoqKfkqUZ7NJpROxSJ6/cuVq91sEBROUL3ma9/bB66TF1gHu+uRYLuqxXqI80dU+uNE4/xw7saDnPWF/x7LImUySKcpNFtfKOjjde3myFI0S5Uf97O0NR2a1kCtzDOyiaq2u08vFyE9QlsIHuEtmNiXp05L+0sz+QBJ1AnssKOHb3Ph9eDa6JX75ck2VmmubTWs2l01RojyGvB7cHjK4QaC6OcD1j6F2VQPBxWM3vbOFcpsS5dSIB7jbZMPDMDN/jkDrScLDbK1U1XTXE5T9/W+DoVIHn+xlcFu0mAR7fy7Tgwv1UKKcjEeiB/fMclEPnV/TLW36bwMzWXpwmy3mSn2VJ0vSPv/m5OIQlygHfbffct0l/ttkcXfL2dWSanWnI/uiNfCxlbBXja+WN2DqP0r6R0knJL1ytxaF1oISvs09uI0MbgRL/IKpyGEyQLNZMrjjqFitKZ3oPoMblDUXN13gLW+Twe2lRLnQpgc3m4pOBqUXwe9jPz24UnQnweeKPWRwz/kTlC9pCnBLK1Lu7Jan7gsmnA5xdgV7p91+2+2kE7FInH+OHV+QJN187YGOz5umB3eDhVyprwnKkpSIxzQ3kRzqDG7Qf/uv/f5sAtzdE2wRNDYlys65NedczTlXdc79uXPuD/2SZeyhsytFpROxLcNxgtHuUczgLuU7Z9OazU4kyWSMIa9EeSczuJ0D3HQiJrPupigXyq3LqEc9g7vcKFHu7yLrcFQD3FIPAe75r3kTlCe9bIQOXuf93WLQ1HQ6oVQipoW16GW3sfPy5ariMVMqHu58mPYzuMM+gPLYiQXtn0zpaYdnOj5vOkMGt9lirqyDfUxQDuyfTA11gPvo4poOTKb0zCtmJTFoajeduujdPBibEmUz+7dm9g0zWzazFTNbNbOVfj+5mb3MzB40s+Nm9uYWj/+cmd1vZveY2T+b2dX9fs4oO7NS0uHZzJa9NlOJmA5OpSJ5gbhdNq3ZHBncsVTsY5sg7+Pb9OC2ualiZsomuxsOlW9TopxNeVOU6/XhvsDs1U6UKEv/P3vnHeZGeW7x36hvr97mXjE2xgbTTDW9hNASSEjgJkAK5JKQThLSbnLDJQRCEggJAUJCIEBogdCbbcDgChhs3Nt619u90hZ1ae4fr0Yr7aqMyu5q1zrP42e90mg0K818873fOe85oagzhzvnJ+KD0ZeWRHkL1BwK2jiewElZURSqiyw5LR/MY+TQ74mdtx0P2hiYyzJlVVVZuaOTJTOrkrqRaz24Y22cGA74A0EOOL0ZRQRpqCqy0JXDi2h7Op1MrSqkyGpiQok1HxU0jDjoGFzgVuACVVXLVFUtVVW1RFXVxEttSaAoihH4I3AuMA+4XFGUeYM2ex84SlXVw4EnQsdx0KLN4R5iMKWhttQ2Jl1IU5Eolxea8z24ByHcvgC2dCTKYQY3enJnd3mxmAwJWeFCizFlF+VYxi+as3KsuKLxALvLh9mo6O4JjIfaUhsef3DMKTT6U2VwVVUkypo8GaCkHizFcZ2Uq4qt4bzLPA5uuLwBCq36rzVt3PTksJPyzo5+2no8SftvQRjcoAr941gVoxfdTh+qChMylChD7jO4jQecTKsqAmBaVWFeojyMaLa7qC62ZuTMnSvQW+C2qaq6OcvvfQywQ1XVXaqqeoFHkV7fMFRVXaaqqnYmrwImZfkYxhRae9xD+m811JWOTZOWVGJGygstuH3BMdFTlEf2kLZEOTy5iz5fHE4f5QXmhCxIqvE+bl8wZl+cVviN16ggifhK/FnqwVjNwu3zpBgT1NsCHkd0gasoIlOOk4VbVTxyDG4wqNI+xr6DgwlOX0C3gzKAVVOx5PAC2zs7pf/2hCT9txDpKj62FsKGAxrjmg0GN5cLXLcvwH6Hi6mhAndqVVG+wB1GNHW7xoU8GZIUuCFp8iXAOkVRHlMU5XLtsdDjmWAisC/i96bQY/FwDfBihu85ZqGqKm097iEZuBpqy8ZmD1sqMSNa7/FYY3nyyAxuf4YSZf9QiXKy863QbNLtouwPBPEGgnFzcIFx24frcHmHeAKkg7GYhevxiwN8cSoMbvsgB2UNmpNyDFQVWekaIQb3Tyt2svS25eN2QWaswxUnbzsetEW+XF4UXrenm/oyG1Mqk7u2aq7i+Sxc6OyVuVOmLsogBW6305eTrTRN3U5UFaZWyfkxtbKQ1h53fowaJjTbXUwaJwVusjuz5pSsAk7grIjnVOCp4TiowVAU5Qokd/eUOM9/BfgKQG1tLcuXLx+Jw4qJvr6+YXn/Pq+Kxx+kr6OZ5cvbhzzv6vJyoN/Hq28sw5ykjyWX8NFWL2YDrFr5VtJt97fITe21Fe8wsSR1Ri+PzDFc53c8BFUVrz9Ia/M+li8f6jKbCPt6RZa3/oOPMLQOCFD2tLhAJeHf4XO7aG5z6vpbnT6ZFOxv3MPy5c1Rz+0JnbNvrlw1Ls/Z3c0ulGDiz1IPOpzyXa1YuwFaMi+YM4Hec7zHK997S+Nuli9v0rXvSfueZxawcvsBfHsH3mNKr4kZjn28+fpLBI3RKh1nt5f2Xh/Lli3LmClPhKCqcv8KF06vyrOvrqC2aPydr2MdzW0u/ClcbztbZfx5653V7A6NPyM9hifDjiYXRQqsWLEi6ba7O0Lj6btraKkY+xLKTPDufvksdn28AVdjZtfqgRYfgaDKC68tp9iSW/PH99vl7+zau4Xlju30h35/8uUVTIpzT821c3ysIKiq7OtyMrfEOy4+v4QFrqqqVwEoivJ34AZVVe2h3yuA2zN872ZgcsTvk0KPRUFRlDOAm4BTVFWNuYytqupfgL8AHHXUUerSpUszPLT0sXz5cobj/be09sAbb3HCkfNZenjDkOfbihp5esdHzF10LJN1rITmCl7s/JCKznZdn5lpeyd3b1jN7MMWccz0yuE/uDyGYLjO73hweQPw8kscMnsGS5fOSum1uzv7YeVyZs6Zy9IjB7obbvngTaZUFLJ06VFxX3vPtlX4g0GWLj0+6fu09bjh9ddZMG8OS4+N9sELbG6DDeuYv+hIFk0uT+n4xwJu3fAWU8tsLF16dEb78fqDfO/NFymvm8bSpbOzdHTpQe853tjlhDeWseiwQ1m6WGf3zLNPQmEVJ5x1UfTjm+yw+2FOnlcP9Qujntpu2MWLuzdz1JITwxLN4cCyre0ccK8FYMb8RRw9LT/G5hru2LSSapuJpUuP1bV9YHMbfLCOBYuOZGFo/BnpMTwZUhlDShu7uX39O8w6dAFL59aMwNHlLna8tQs+3Mx5p52UcUyb/f1mHtnyAYcecTQzJxRn6Qizgx1v7QI2c8mZJ1FRZKGyyc6fN6xkwox5LJ1fF/M1uXaOjxW097jxv/w6Sw6fw9Il00b7cDKG3mWfw7XiFkBV1W7giAzfey0wW1GU6YqiWIDPAs9GbqAoyhHAPYjB1VDa8iBCvAxcDeEs3DEmU3a4kstFNWjbadFCeYx/aNK6dEymBlyUow1WenScc6nE+2hSqXg5uJHbjDc4XL6MJ1cgTvBVRZYx1YPb5xEmITWJ8iCDKQ1hJ+WhMmUt53K4+3AfXdOIMaT+aR+Dfg4HA1xeP0Wp9OBqPgQ57KIscwB9MtvS0AJPPgsXuvq9mI1KWLadCSpDMudc7MPd2+Wk1GYK37OnVkovbmO+DzfraLKLg/J4kSjrLXANIdYWAEVRKkkub04IVVX9wPXAy8Bm4F+qqm5SFOUXiqJcENrsN0Ax8LiiKB8oivJsnN2Ne2iFazwX5bqysZmFa3d5dRlMwUAPrj3fg3vQQOufTasHNzy5G5qDmyzWJhWTKa0QjtUbpxnCuHzjs2fM4fLpvn6TobbUNqYMjlIucFVVIoJiFbiVM0AxxDSa0kxkhtNJub3Xzeub27n4CLHB6OgdO9/DwYR4cWTxEC8qLZfQ7fTqXuQuDRm69eSzcOnq81BVZM1K24JW4OZiHNneA06mVReF/86yQjMVheZ8Fu4woCkcETR2VKCJoLdIvR14V1GUx0O/Xwr8KtM3V1X1BeCFQY/9NOL/Z2T6HuMFrQ6Z3MQtcMegSQuI4Y9eSbV2E3Tks3APGmjsa1ouyjFigjz+AE5vIOmEqsBsxKVzUqgVrwUxmJXCcWwy5QsE6fP4dU9Ok6GuzDamFuj6QwVukd7Ylt4W8PRIBu5gmG1QPjV2gRuafHYO4+TzifVN+IMq154yk3+/30x7b57BzUW4vIGYbu3xMDAG5ub4o43HFXoL3IK8i7KGzj5vWN2RKbT95CaD28/hk6Lbe/JOysODcAbuwcTgqqr6IHAJ0Bb6d4mqqv8YzgPLIxqtPW6qiixYTLG/srICM1aTYWxKlHW6sBZbTRgNSj4L9yBCWKKcBoNrNQ1lLzQH7rIkkrhUJMrORBJl8/gtcB0pZFjrQW3p2HKC7w0VuCV6Y4I0B+VYDC7EdVKuDjG4WixIthEMqjy2dh/HTK9kVk0x1cVWOvIFbk4ibQY3RyXK2mJ1svFYg9VkwGxU8i7KCINbnYWIIIiUKOfWde8LBGnqdjF1EAkytaowz+AOA5rtTsoLzam13eQwdNMiqqp+rKrqXaF/Hw/nQeUxFBIRFJu9BVAUJcSA5NYAlQx6Ils0KIpCeYE5nJ2bx/jHQIGbOoNrMChYTIaomCBHOHc5mUTZpFui7EogUdbYllxlUDKBdh1mIyYIJAu3s8+LN0cn44MxwODqnAx0bJGfcQvc2dC1A4LRf/9wywdX7e5ib5eTzx4tno8TSqx5BjcHEQyquHyBmEqReLDGyQLPFWjtRnoXuRVFocRmzjO4ZJfBtZqMFFtNdOUYg9vc7SIQVMMRQRqmVhWx3+4a0n6UR2Zo6nYxsXx8sLeQQoGbx+giUQauhtpSG21jSKLs9gVw+QK6DSZAJtP5HtyDB2GJchomU/I6A54IibJdJ+tYaDHiDQTxB5IXW5qUOZZ0cDxLlB3hDOvsTLK0Nov2MdL/2edOsQe3fTMUVkHxhNjPV88Bvxsc+6IetpgMlBWYhy0L99E1+yi1mThvQT0ANSUHN4P7wT47+0NmK7kEbZwpSoHBtQ4jg7t8a3vG5nndoYKqIoUxpNRmojcHenA7ej2s3XNgVN5bVVU6+zxMyBKDC7KQlmsSZY2lnVZdFPX4tKpCgupAz2ge2UFzvsDNYzTQ1uMOG0nFQ12pjbYxMjkEcbOF1BigskJzvgf3IILGvlrTkCiDSJsj2VN7mMFNLlEGdPXhJpIoa4X5eCxw7TrZcL2oLRtbTvCayZRuV9uOrTAhRv+thiROyp3DMPns7vfy0sZWLj5iYrgNYEKJlY5hNLTKdXz5wXX89tWhvdCjjUTjTDxo32m2GdymbidffGAtz3wwJNkxJehdcIxEic2cEy7Kv3ttG1fev5pgUB3x9+73BvD4g1ljcAEqcrDA1fpsYzG4kHdSziZUVaXZ7mJSxfgwmIJ8gTsm4PUH6ezzJpQog0j8Wh1uVHXkB9x0kM7NrbzAnO/BPYjgyUCiLK8bXOBqrGPic06bGOphKMITT/PQQsdgULCZDbi8o884ZBvhAjdbJlNho7yxUVz1e/wUWYwYDDpcTDUH5Zo48mSIKHCHFlfVRVY6h4FVfer9ZryBIJ89Zkr4sZoSK119HgKjMHEfbbh9ATp6PTR1597EOdwKkYJEWVtgy3aLhMacZcr0O9IYQ0pyhMF9v9GO2xekcxT6VrWxoKooewxuVZEl51yU93Y5KbQYhzDV00IFb74PN3vodvpwegPjxmAK8gXumIAm2YuXgauhttSGxx8Mm7/kOvSyaZEoL7Tke3APIgy4KKfL4BqiXJQHTKaSS5RBH/PqTiBRln2ZdDsyjyXY01BgJEK4wB1DDK7u/tue/eKgHK//FqCoCgoq40QFWbLeH6eqKo+tbWTh5HIOrS8NPz6hxEpQHT5Tq1xGS6jFpyUHW32cIbf2VBhcs1HBoGQ/B7fFIQXugQwz6budqbc5lNrMYfXXaMHlDbC1rRcYneQK7dqsLhnfEuW9Xf1MrSoaEoVUWWShxGrKOylnEWEH5bxEOY+RRDgDN5lEeYxl4epl0yJRVpCXKB9MyMRFWXtdpMmU3enDaFAoSVKYpFLgOr1+jAYFszE2k1dg1u/IPJbgcHpRFJEMZgPlhWYsY8gJvs/jp1ivg3JHEgdlDXGclKuKLVnvwX2v0c62tr6wuZSGCSWhXugxZliYDbSEem9bclAJ1e9JvJAWC4qiYDUZs87g7rfLNdqdYUFkd/kwG5WU+opzgcHdtN8RVjhon8VIoqNXPnctQiwbqCqycMDpzanzfk9X/xAHZZDzekreSTmraLbLYsGkPIObx0hCk+wlY3DHWhZuOgxQeaGZXo9fl/lPHmMf4QI3TjxWMtgGTe7sLi9lBeYhK8KDockA9fbgFpqNcfdZaDFmbMaSi7C7fJTazBj1SHR1QFEU8REYSwWuboOpkINyrAzcSFTPjpOFa6Xb6cvquPfomkYKLUY+ubAh6vEJIVboYOzD3R+6d3r9wZxzlNXGEN093yEMVrFkAxqD253hYrPd6aWswJJ0PI5ELrgob2hyhP+vfRYjCY3BnZBlBtfrD9KfI/eqQFBl3wEXU6tj94ROy2fhZhVa20G+wM1jRKExsnokyjB2TFoGMvBS68EF6MmBHpw8hh+a+2e6DK510OTO7vTpWlApSKEH1+UNJGRVClLI1B1LSCXiSy/qSm1jZoFOenBTiAgqrIai6sTbVc+B/nZwdUc/HJrIZioJ1dDr9vHchy1csLBhSJFeoxW4BzGDK//PrfPQ6U1dogxDfQiyAe2z6c7wfLQ7fVSkOIaUFpjo9wZGdZF7wz479WU2rCbDqMjZtV7ZVNynkyGchZsjfbgtDhfeQJBpVUUxn59aVci+A8482ZElNHW7KLaastZylAvIF7hjAG09biwmQ9LJZO0YM2lxuPTJRSOh9erYszTRyyO34cm4Bzd6cudw6StwByTKyRdSXL5Awklngdk4LntwHS5f1hyUNdSUWsfMAl2vOxWJ8pbk8mSIMJraEf1wlrNwn92wH5cvEGUupSHP4Gr/z60IkkRxZAB07wFH05CHpU0ju0WA9jll2rPZ7fSmvEimtURoLuajgQ1NdhZOKqehvGBUIqU6+zyUFUhLR7agOTLnSu99PAdlDdOqivAH1Zzslx+L0DJwU1FT5DryBe4YgJaBm+zEs5gMVBVZxk4Prk65aCQ0tjefhXtwwO0PYDYqactgbWZjlMGKw6WPdSxIMSYoUQE+niXKZVlkECDE4PbkXv9jLPR7dUqUVVUighI5KGuoni0/B8mUq0Iuop1ZKjofXbOPuXUlLJxUNuQ5m9lIic10UGbhtjhcYaVUS45l4SaNCXrsCvj314Y8bDUZsh4TFJYoZ9qD6/RRloLJJEgOLjBqfbjd/V72djlZOLmculLbqDG41bEigvwe8PSltc/KkCNzrhhNaQVuIgYX8k7K2UKz3TWuHJQhX+COCbQ63EnlyRpqS220j5UC15k6A6RtnzeaOjjg9gXCURfpwGYyDMnB1XPOhXNwdUqUEzG4hRaTLiZ4rMHh9Gadwa0rs+H2Belx5f7n1e8J6Ctwe5qTOyhrKJ8KRkuMAjd7DO7GZgcfNTu4/JgpcRcXa0qsYff+gwktdjeHTSzFYhwd6Wki9IcYy1hxZLjs0LoRWjbIgkoErFlmcF3eAHanj2KrKZTHmn7x7HClLlHWGNzRSov4sFn6bxdOLqO+3DYqCyEdfZ7wolcUnv0G3HMS+FMfJzTDqlzpPd/b1Y/FZIg7951WLYXvnnwfblbQ3O0cV/23kC9wxwSEwdVb4FrHDIPrcPlS6r+FCIlyPgv3oIDbF8SapjwZYufg6omk0Hpw9booFyboxbSZxy+Dm+0e3NoxFBXU59YZE9Sh02AKwGiCyhlDnJSri7LH4D66thGrycBFiybG3WZCifWgZHD3O1w0lBdQV2aLkivnAgZycGOMh01rARXcdomkisDgRb5MoUm354WipTKJ7UtHojzaDO6GfXYUBRZMLKOhrIC23pHPjO7q8wzJhsXTBx8/Awd2wfsPprx0pJgxAAAgAElEQVTPCq0HN0cK3D1d/UypLIybM15TYsVmNrC3M8/gZooet48et39cRQRBvsDNeaiqSmuPfga3rmzsuJBmwuDms3APDnh8AawZ9BlZTQMmU4GgSo/br89kKgWJsssXTGgyVWgZfz24waA6LD24YyXqzOMP4A0EKdHTg6s5KOthcCGmk3JpgQmzUcmYXXF6/Tzz/n7OW1CfcHGxpsRG+0FW4PZ5/PS6/dSXFVBfNjrMXCI4fdKuEbPvsnHVwP/bNkU9ZTMbsypR1gym5jVIgZtuQeT2BXD7gill4AKUhsac0XJS3rDPzswJxZTYzNSX2wgE1RFXO3T1e8OqjjC2vQR+FxTXwZu3gS+187fIYsRiMuRMgbu3y8m0OP23IK77UyuL8gxuFhDOwM0zuHmMJHpcfty+YHjilwy1pTY6+7x4s2wqMRywu/SxaZEozRe4BxXc/gA2c/rDlJaDq6oqPSFJmx7GwGI0YDQo+kymvP4w4xsLhePQRbnX7UdVGZYeXIC2HGPPBkPLJNWV39mxWZ+DsobqOdC9GwIDY5yiKFQVWTPOwn3ho1Z6Pf4h2beDcTAyuFpB21Buo6G8IOckyi5vIP4407gKKmfK/9ujC1yryRDlQ5ApBjO46fbhavfw1E2mZFFpNJIUVFUNG0wBNJRJQTCSWbi+QBC700dV0SAGd9PTUtxe8hfobYG196e0XxljLFkzsssEqqpKBm6c/lsNU6sK2Zvvwc0YzeGIoPgLCmMR+QI3x6ExGXolytoEcSz0T+mNbImE0aBQYjONWv9NHiMLty+YtoMySAakqoI3EAwbk+mZUCmKQqHZiMubfGLoTNKDW2ARo6uRlrENJ7QWgeFwUYbcjzrT+iF1SZTbt+iTJ2uongNBv7jiRqCqOPPJ56NrGpkxoYhjplcm3K6mxIrTGxhVp9qRhiZJ1hjc1h53Tl2zcVshAj5oXg+zz4KyyTEZ3GxKlFvsbgpwc/6aK1isbE07ukobQ1KNutF6cEeDwd3vcNPZ52XRZDFnqy8PGZKNoOO2xrBWl0R8bu4e2P4qzL8IZpwCM5bC279N2XCqssjCgRxwUW7v9eD2BRMyuCB9uI0HnARz6Dodi2jqFhY8L1HOY0QRzsDVy+CWjY0sXH8gSK/bn1YPX3mhOR8TdJDA7UvsUJwM2mvdvmD4nCnX6dppsxhx+fQwuElycM365c5jBemyL8lgNRmpHANO8Fr/X1KJsuagrFeeDAmdlDPpwd3e1su6vd189ujJSZ3rw1FBBxGLqzG49WU26ssLCATVnPr7++MtpLV8KNLUKcdCzbwYBW50FnimaHG4WFzUQWHHB1xifDttBre7PzSGpLhIVjKKPbgb9tkBWDhZGNz6EIM7kpnJ2hgQxeBuewkCHph/sfx+6o/B2QWr/5zSviuLLBzIAXXcnlBfrR4G1+MP0jYGCJ1cRrPdhdVkiO3MPYaRL3BzHJpUr7YkNQY317NwNXlROgxQeYElHxN0kEAK3Ax6cEPFpccXCJ8zeo3N9EqLk+XgpuLIPFYQ/iyHIRS+piT3s3D7vToZ3J5m8PbChEP077wqdoFbXWShMwMG9/H1TZiNCpccOSnptiNV4N731i4eXr13WN9DL/Y73CiKLCY3hBaKcykL1+UNUGiNMc7sC/XfTj4OaufLeRPhoqu1aWQL+x1u5heIk/AJho10p1kQOTQVSIoMrtlooMBsDLecjCQ27LNjMRqYWyfy7FKbiSKLcUTPE20MmBDJ4G58CkonwqRj5PfJR8Occ+CdP4jDtk5U5QiDu/dA4oggDdrzezrzfbiZQIsIGk8ZuJAvcHMe2kRPk+4lQ90YcSENs2lp9PAJg5svcA8GuH3BjGOCtP1o0VJ6F1UKzMkLXK8/iD+oJuzBLQjJCsdVgRu+frNf4NaF5KG5jL7QAl3SmKD2FByUNdhKoaR+iJNyVbGFrn5P2hnBG/bZOXxSOdWx4kUGoaZkZFpd7n97N3e8ui0npMAtdhcTiq2YjYZRYeaSwen1x44IanxX4qVK66XADfqjFkfEZCqLDK7dxSxLFwDTDG0ED+xJaz9aYTxlzS/gwQtTem2JzTQqDO4H++wc2lAaNvpSFIX68oIRPU+6BjO4LjvseA3mXQSGiCn9qT8CtwPe/aPufVcWWTmQAz24e7v6MRkUGsoTEztTKgvD2+eRPpq6XeNOngz5Ajfn0drjpqLQrFumWV5oxmIy5DwDkgkDVFZgHpXV2zxGHmIylQWJsj8QLsr0nnOFluS9awPRHfELHY3BdeqQO48VOMLXb/YlTXWltpxXoGi9qUkL3I7N8nNCCgUuxHRSriq24vYFhy66qCq8+lP48F8Jd7nf4dKdczgSDG6v20dLqKfxvcbuYXsfvWhxuKkPTfIaRqG3MhlitkKoKjSuhinHye+1h8nPCJmy1WQIG+1lAy0ON1OMXaDI9LG2a1WSV8SG3enDQJCirU/BrhXgPKD7taUFZnpGuAc3EFTZ2Oxg0aSyqMfry2wjep6EJcqanHTrCxD0wWGXRG9YvxDmXQir7ob+Ll37riq20O8NZLVnOx3s6ZJMVpMxcYnSUF6A2ajknZQzRHO3/nvDWEK+wM1xpJKBC7KiWFua+xI/jU1LNQcXQgxuvsA9KODxBbFm6KIMInVOdVGlQIdEWStaE5pMpZCpO1agKSiGQ6JcW2qjq9+DL5C7TvCayVRxsh7c9i1QNAGKqlJ7g+o5UuBGFCUa8zrEaGrrC7Dy9/D0V2HbyzF3FwiqtNjdulfpywvMmI3KsEYF7WgfMMB5ZVPrsL2PXux3uMLS5LICMwVm44i64yZDTDO77t3Q3w6Tj5Xfq2aC0QJtG8Ob2MzGsNFepuhx++jz+KkLtsGEQ+k0VDHdsTatfdldXo407UZxdQGqMNE6MRoM7s6OPvq9gXD/rYaGsoIRzUzu6vNiNRkGFtc2PgVlU2Di4qEbn3oT+Jyw8g5d+67MkSzcvToclEFMRydX5p2UM4HT66er3zvuHJQhX+DmPFp73LoNpjQIA5I7N+ZYyMSFtbzAgt3pzTvnHQTI3GRKhjiPX6IVSqympKvCGgrMpqRFqcbgJnNRBnCPswJXy03MNurKbKgqOZ3D2qfXRbljS2oGUxqq54i8sL8j/JDG2HRG9sj5vfDKj2X7usPh8avEdGgQ2nvd+IOq7pxDg0Ghunh4o4K2t0mBO2NCES9vassaw5gOVFUWADRpskhPbbT25A6D64zF4Daulp8ag2s0S793+8fhTawRbRqZQpPiVvhaoWIqWwoWc6j7fQimvm97v4+zLR8KE2y0wp63db+21GYecRflDwYZTGmoL7fR2ecZsWjGzj4v1cVW6Zd0HoBdy8Q9OVb/5IRDYMFlsOZe6E2+iJQLBa6qquztTJyBG4lpVUXszTO4aWN/yFwvL1HOY8TR6vCE+2r1orbUNmYY3HR7cIMq9OnIKM1jbMPtC2TWgxvB4Pa4fCkpBgotRlxJzjGtAE5UhIclyuOowHW4fGldu3owYJSXu2NYuMBNIE1Py0FZQwwn5epQz11nZNG55i9wYBec/X9w+aNQUAH/vAwczVG72x/OeNU/iakpsQ7rIsP29l6sJgNXnzCdxgNOtrb1Dtt7JUOPy4/LF4jq+WsoK8gxBtc/9HzbtwqsZdES+NrDoiTK2tjkyYLRlJgpqRS5WqB8CnvLjqZM7YlijPXC7vJysvI+TDpaHKD3vKX7tSU204jn4G7YZ6fEamL6IGaxoawAVR255IrOPs+A2+2W56TnWnNPjoWlN0qU1Fu3J923VuB2jWKBe6DfS6/Hr4vBhYEs3NFcIBvLaApl4Opd/BxLyBe4OQxfIEhXvycliTKEGNwed05f8JpctDSZxC8GNFmkI280Ne7h9gczclHWimO3T3JwUzFFKrQYk0b7aM/rcVF2jqOYIIfLOyzyZBjI/M7lRbo+t59CixGjIYHrpKNJHJRr0mRwIarA1Rjc8OSzvxNW3AqzzoTZZ4jJ0Ocek+zLRz4TlYGpTWImpVDgTigZXgZ3W1sfs2qKOXt+HYoCL29sG7b3SgbNBVdjcOX/I9tbmQwxJcqNq2DyMdHmQjXzoLcl3HepMbjZMJpqdbgpox+jrw/Kp9BRHWKOdy1PeV/B3nYOCeyQ/N5pJ0HrRnDp68UuGW4G1+uUfxH4sMnB4ZPLMAy65rUsXG0RabjR1e+hSjOK2/Q0VEyDhiPiv6ByBhxxBax7AOyNCfc9wOCOnnom7KBcrZ/B7fcGMnKYP5gRvjfkC9w8RhLtvR5UVX8Groa6MhtuX5AeV+4ynHanjxKbfrloJDTmKO+kPL7hCwQJBNWsSJTdPjGZ0puBK6/V0YOrQ6KsHX8yNngswe5MbbEgFdSNgSzvfq9fnzwZUjeYAihpAHNRlJNymF3RsnCX3QzePjj7VwOvqzsMLv0btH0MT1wNQTk/NSYyFQZXCtzh+w52tPcxu6aYCSVWFk+p4OVR7MPVCtn6CAa3vryA9t7c6AUPBFU8/mC0RNl5QM6xKcdGb1w7X362C4sbqWLJFC12F1MMIdl8+RTMFQ1sDU4isPONlPc1pzckr559Fkw9AVBhr74+3NKCYWZwH/0c3H8m+OS8cPsCbG7pYeGk8iGbhh23R0hx0tnrparIIgtcu1YIe5ss3uXk78k2b/4m4WZV4TFm9IpFrZ92SmUMBjdG5NGUqryTciZotrswGZSwc/54Qr7AzWFoEr1anRFBGmrHQFSQI0U2LRLa67Q+3jzGJ7QJWUYM7iCTqdQlyjpdlGPFd4T3Mw5jgjK4fpOhotCMxWjI6fGr1+2nRG+Bm0pEkAaDAapnDYl7KbGahKlo+xjWPwBHXzM0Y3f2GXDerbD9ZXjphwA0252UF5qTF+URmFBio6vfi38YCrw+j59mu4vZtSUAnDW/lo9beth3YHR66cILABEMbkOoFzwXFlpiKkWaQuZOk4+L3jjspCx9uANjYObf436Hm/mFkoFL+RQqiyysDB6GoXEV+FL7nI5wr6bHVAV1C8QgyWTT3YdbajPj9QeHx+034BPDq7aN8NIPAPi4pQd/UB3SfwvC9MPIFLiqqtLV76G6xAqb/wNqAOZfkvyF5ZPhqKvh/Yeha2fczUptZowGZVR7cPd0OlEUmFw5aDFu5zK4dbr8jEA4Czffh5sWmrtd1JfbEquRxijyBW4Oo71HK3BTZ3AhtwvcVNm0SGjSyDyDO76hTcgyYXA1B+ag8wAOpy8lU7NCixF/UE1oHuIKuSgPMX8ZtB8YXxJlu9OXeURQf1fMFXlFUagptdKWwz24/R4dDK7moFxYmd6baE7KkQ+VWIXBfflHYC2BpT+M/dqjvwRLroc198CqP7Pf7o4q3vRgQokVVR0ewxnNQXl2TTEAZ8+vA+CVj0dHptziEBZDi0cCwpFBI8XMJYLTo40zEedc4yowmIa65xbXQGF1uC82rGLJQg9ui8PFIbZQnE/5FCoKLbwdPAzF74KmNbr3o/q9HBPcwK6K44VZNNukF1dnH25JqLVpWJyU2zaC3y2mbev/Bh89wQbNYCoGg1tkNVFqM42InL3H7ccXUIVp3fQUVM6UBQI9OPHb4rC9/Ja4mxgMChWFFrqdo8vgNpQVYB3svbFrGahB+M8N4B1gayeWF2A0KDTmGdy00NTtZFL5+HNQhnyBO/L48HH5p8N1UCtQUzWZ0rbP5QliJgyQVqTko4LGN8IMboYmU58zvs6ly07lUPf7KZ1z2mQyUR+uHomy1WRAUcYPg6uqKg6XNzMGt68D/ni0rMjfcwq88hPY/ip4xGhI8xHIVfR7AvoycNMxmNJQPQfs+8IySRAJ4eTOt2Syd8oPEhfPZ/4C5p4PL/2Aye3LUzYRqQkVe8NhNLU9ZCilMbhTq4qYW1cyanFBLXaJ44tkMTRmbqR6KxNBG2eKIseZfasl69QyaHKqKFA7L2w0pRUK2ejBbbG7mW7sAmsp2MqpKDSzOngoqmJMqQ/Xs2cVpYqT1pqTBx6cdhK0fhRz0WswSm0y9gxLH27TOvl52d8lfuk/32T/rk3Ullrjtos1lI+MIZmWgTvR1Cts92GXJJcnayiphWO/Ah89Du2b425WVWQZVYnyni5n7P7bfWuguBbse6U9IwSLycDE8oI8g5smmu2ucWkwBfkCd+Sx4RF46ktw79KkN4TWHjcWoyHce6UXNSFJcy5Iq+LB4fQlNqlxOyAQe3W2NGwylZcoj2dorp8Z5eAqAa43PY1BDfC/xvuosuif5BWEe2fjF6ZhiXKCAldRFAp09POOFTi9AXwBNa2IrzBe+oEUs8d/HcyFsOpP8PCn4ZapcN+ZfMn3EBMPrB5i9JIr6E3G4GoOyunIkzVUzQLUKEnhhCIDl9vvkeeO/lLi1xuMcMlfUBsWcWP/bzjKsjelt9fYzOEwmtre3ofFZGBK5cBE9qx5tazdc2Cgx3gEsd/hChe0GkZSepoMQxbS/F5oXj9Unqyh9jApYoKBKB+CTKCqqmQF0wHlU0BRqCyy0E8B3RULUypwfVtexqsa6W04ceDBaSeiNw9XY3CHpQ+3aR0U1UDFdPjU/WAwcunun7J4YnyWa6QMybTCc/aBEJupR54ciRO+CZbiqAJxMCqLLKMqUY6Zgev3QvN7sOBSWHwVrLpbfg9Bc1LOIzV4/AHaez3jMiII8gXuyOPzT8DFfwFnNzx4IfzjElm1jIE2h5ua0lDeWQqwmoxUFJpzmgFJyOB++C+47RB45aaYT9vMRgrMxrxEeZwjGxJl86Z/0aAc4LXKzzHN0MbxTffqfu1AvE/8SdRAD27iY9TjyDxWoCkn0nZR3v4qbHwCTvqOsIxXvwg/aIQr/w0n3AConHXgUW53/wz111PhxR9k7+CzhH6PPzzJjglHkxhAZcrgQpRM+Tz3C0wONsNZvwKTjoVPSxG9Fz/EAUq4Ytf35bh0YoDBTeM+oqrw8k2wb23Mp7e39TJzQnEUY3rW/DqCKry+uT3198sQLQ53WJKsocRmpsRqoiUHGNyBVojQOdeyQWS0gw2mNNTOB78LuvcM9OBmKFG2O324fUGqA21S4AIVocX3fRXHwP73dbsgm3e9xtrgXErKKgYenLhYdx5uyXAyuM3rYNJRwoyWT6b/3DuZE9zJtd6/xX1JfXnBiCyEaAxufdMLUH1I6gtohZWw5Guw+dlwj/ZgVBaPXoHrcPnodvqGZuC2fggBjzDqZ/6PMLnPfl36pZE+3DyDmzpa7G5UdXw6KEO+wB15GAyw8DNw/Vo4639lFfbPJ8HT14ocLQKtPe6U5ckaRi0LNw7rGolgUMXujBEz4vfCC9+Hp74sv7//UFiyOBjlhea8RHmcY8BkKs0CNxhAeft3bFKnc5/1Sh7xn8qcXX+H/R/oenmBjvxapy+A2ahgTuIGXqDDsGqswB5STqQlUfb0wXPfksnZid8aeNxSCDNPhTN+Bl96jQdPXsEXvd/HN+tcWP2nAdlgjqDP46fImuC8DDsoZ1DgVs0ElAEnZecBzmx/gLeDhxGYdZbu3TT5Srna+z0sQRfcexos/zX0JpcCVxdnwOA2r4d374LnvyXF7iBsa+sL999qmN9QysTyAl75eGRlyqqq0uJw0xBDflpfbmN/LjK4+1bJz3gMbs08+dm2MSoqLRNoGbil7v3hAldTcWwtXCyMoh6TKEcTtgNbWBZcFN3Hb7ZJ5JGOPtzSgmHqwXV1Q9cOKXBDeK9wCff7z+Xw5sfE2CkGGspsHOj3Do/pVQS6+jzU0E1hy5rU5MmROPZaMBXAu3+M+XRVkWXUcnAbQ0XqEAflfSHH7cnHgK0MPnG79Eq/8wdAGFyHyxe+N+WhD8328ZuBC/kCd/Rgtok874YP5OfGp+DOxdKLFloFbevxUJtiRJCGurJR6GH78HH4VR28eKNEGMRBn9dPUCXaZKqnBf5+vpiiLLkernxKGJCPHo+5j7ICM458gTuuEWZwTWkOU5uehgM7ecD4Kdp6vfyf/3L8tsrQym/yiZE2mUw0aXF5A0nZW4BCsykhEzyWoOVPp2Uy9cb/gmMfXPAHMMV3h6+sqmJ5cBF7T7oVCqvkdTmEPo+fYmuCAl/rcctEomwukEJCY3BX/BqLv49f+q6gO4Wxb7/dxTZ1MrvP+6dIV5ffDHfMh8e/KAVJnLx0m9lIqc2UXg/uh/+Sn60fwZbnop7qDzkoz6mNLnAVReGs+bW8ub2Tfs/IXStd/V68/mDM/sr6soKcyMLt9wxSijSukvzTktrYL5gwFxQDtG0Kt3h4MmRwW+ySgWvy90PZZABMRgNlBWY2G+eI9FWPTHn7qwAsCy6iomjQNTTtRF19uBqD25PtOUDzevk5caDA/bDJwS3+y/HXLYJn/hu6h0r9RyoqqLPPyydMq1FQJR4oHRRWwhGfhw8fi7nQVVlkweHyjUo81p6QzHhID+6+1VA+FUrEjI65n4B5F8piXeeOsKQ5z+KmhuZQBu7kijjye59biKcxinyBO9ooqICzfglfXw+HfQreuRN+vwh1zb20OtJncOtKbbQ6RrCXye+FN34hq2tr/gK/XwQr/xAzOiA8QdYYoD0r4Z6TJej903+VXMcpS6BmvrgYxkB5oTm8nzzGJzJicFUV3votVM/hXdNxtDrc9FBMx0n/K3KnVbFXryOhTSYTMrhefzgGKBFslvHTg6spJ1JmcJvWw+o/S+/olDjMUwjauNfiNIr7565luiNEhhtefxCvP0hxPAZXVWHrC1KcpuugrEFzUu7YCmvuZd/0y9iqTknJBEZbpa+YvUQWDr/+nrA4O5fB3z4Bdy+BNfeCu2fIa2tKbakzuAG/OLzOPV9cXpffEmWqqDkoz6opGfLSs+fX4fUHWbGtI7X3TBfuHuzbV3Ox4S1ObvwTPPp5+TzevRuAhnIbLSNgHpQMmkS5yGqS86txldwj48FSKJ9926asMbgtDheTlIEMXA0VhWY6Xapk2eoqcF+hr6CBnWrD0CSFaScKE9y4KuEuSofLRblpHaBAwxHhhz7YZ2fyhDJMlz0gn/0TV4elsRq0/OThlrN39nm4wLRG5kaD48FSwXFfg6Bf5mqDoHm+jIaT8kAGbkTBpapiMDX5mOiNz/2NEEX/+QbTKm1Rr89DH5q6nRgUhi7udWyFl34Ev50rRMEYRb7AzRWUT4aL/wTXvgX1h6O88F3m+T9OOQNXQ22pja7+EQyp3/BPsDfCxX+Ga1fKYPTqT8Qp9aMnolgCrXe23GYSmczfPwm2Uvjy61Lkg0hvjrpKeo0izAQ0lBdY8jm44xxaz1haBe62l6B9E5z4bawWc7j/1TT/Qpl4L7s5YR4g6JMou3zBhA7KGgrNxmGXr2WMYEBXlmX4+k2lwA34hDkvqYfTf5Z089pIo7yjr4HiOnjjV3HZxpGExi7GNZna87YY5Sy5PvM3q54jksmXbwJLER1HfwcY6MXTg2a7C4vJQHVxqJiomimLiN/ZAhf+UZj0F74Lvz0Unvu2TG5CmFBsTb3A3b0C+jtg4WfhlO+LlHDLgLRze6jAHczgAhw1tYKKQvPwuCkHg/DBP+H578g95/a5cMtkZj3zSe6w/IkZ2+6XxYSAF177OXTvob6sgK5MpKdZOl+jJMoHdoGzU/oRE6F2fhSDm+n4s9/hZqqhU36JLHCLLCINnbFUztVBrVZR8Htg13J2V5wAKEPHkIlHhfpwE8uUiywmFAV6st2D27RO2G9bKSDy9Q/22Vk0qRwqZ4jypHkdvP4/US/TIriGW84etDdxBFvSZ281VM2EQ8+HtfdL20gEtAJ3NPpw93Q5qS21Ri8aO/ZBb8vQ872kVrwI9q5k2t4nUBTYm2dwU0KT3UVtqU1arHwu2PAo/PUc+OMxsvgx/ZSQ2eHYRL7AzTXULYDLH8VfWMON5kepLUmvwK0LhdQPR8TDEPi98OZtcnOadYZEFFzxBFz5tMQJPHkN3Hc67BV3RIfLRyFuFq/7ruQ5HnIufPmNoXK+wy8Th9X1Dwx5y/JCc95kapzDEzaZSnGYUlU5H8unwIJPY40okMsKLXDebyQP8LlvJpyAFoZjghKZTPl1FeCFY4HBff0XcPscWS1PAK01IKUc63f+IAsOn7gtPHlMBC37u63HLVLdk78Lje/Azjf0v+cwoS9U4MaNCXrzVnFhPfK/Mn+z6tngc8KOV+Hk71FeXQ+kXuBOLC8YalZoLoAjroCvrpDxd96F4ntwzynQsx8QR/6U7yEfPQ7WMph1Jhz2aZkgLf91mMXd3t6LxRjtoKzBZDRwxqG1vL6lPWH+dFpYfjP8+zpppfE6YeZpcMbPeX3hHZzmuY3OG/aKN8YX/iP5si/fFHZSbk2ncFn9F/jNLPj4mYwPPcqtXWM3k6ggqJ0P3buxBp0oCngyLHBb7C7mFoSkwxEFbmVhyJRoxlJ5YPeK+DvZuxJ8Tj4uOhab2TB07Azn4SZWaxgMCsVWU3YZXFUVifKkgVzh1h43Hb0eDp9UJg/MvxiOukaUdtteDm+nMWDDzeAe0vXGwHFkiuO/AW47fPBw1MPhAjeZSsTvgceukKIoS4jpoKzdjwYzuCDj1/STMb/xcxaUOMMS5zz0oanbxZLiNvG+uf0QePqr0Ncm5o/f3ixRWZMWJ99RjiJf4OYiLEXsmf/fHGPYytzed9LahSbxS+vGnCre/4essp36o2jTg5mnwVffhAvvlgnTA+fAY1dg2rOMpy0/pXLvC3DGz+EzD4m0eTBsZWKk8NGTQ+RzZSGTKTUHGJ08IqCqMjnRwQQmQ9oM7u43ZZX9hG+C0RwukMMTqtIGGcB3vznk5h4JjZl1eeNPtJ3egC4GN+dNpoJBmai4HfDgRbAr/iTV7vJiMRn0Lzx07ZQC59ALpHdKB2xmI+WRTvBH/heUTZFe3FG+5hMWuI2r5bw64RtSQGYKzUm5Yjoc+1WqimTBMyWJcrcreeecNfIAACAASURBVAzExMVw0d1w3Tvizrvur8AAg6t7nPW5xIhn3gVSrBhNcMqNsrix+VkAtrf1MWNCEaY4xmxnz6+j1+1n9e4u3X9jUnzwCLz5G5kQ/2CvqIUuuhtO/BZrrEtoMkyiqjQ0sS5tgJO/A1ue41CX9GTuT7UPt2MbvPJj8PbDv/5LnMAz6GULM7hmoxhM2crEqC0RaucDoLRvwWoy4MlwwWC/w80sywGwlEhrVQgVRRa6+72yQF1Uk1imvP1VMNnYYDqcisI4C2TTTpQ2Ercj4fGU2szZZXAP7ALXASmwQ9iwT45h4eTyge3Ovll62Z++FhzNgIxXVUWWYWdwj3EuZ591FlRngVWbfAxMOkZUdMGBe1N4jEnG4L79O7nWn7k+6aKoXuztcg51UN63BsxFIsseDEWB838HAS8/NjyQZ3D1IqRm+UnrDfy26zohkWadIYt7X39P0gyKJ4z2UWaMfIGbo/hgwgXsDtYyfcPtUYOPXmgMSPtwG035PfDW7SIfmXna0OcNRjE0+Pp6OPUm2PEGx638EtWKA/slj4qTaiInwMVXg68fPvpX1MPlBRa8/mDGfUV5ZBnrH5C+vjuPFPlTBpM67bu1pmoy9dZtImld9Pmo10cxjkd+QXrGXv4R9LbF3I0t3IMbnyVwegMJM3A15HwObvN66GsVZ/eKqfDwpbD1pZibOpw+ygvM+uLLVBX+cwOYbMKcp4AoHwGTVeSu+9+DrS+mtJ9sQ5MoF8eKCXozZIp11NXZebO6BeKI+4nbwGSlrMCM0aDQ1a+fVd1vd9FQrtPLoXoWzDlHvA/8HmpKrbh8gXBRnxTbXhJzwAWXDjx22KekUF8hLO729l5m1w7tv9Vw4uxqCi1GXs6WTHnvOyKPn3YSfOKOIfeb/Q43dWU2DBGRRSy5HiqmM+e9X2LCn1ofbjAgZkTmAmGEj71OnMAfOCemQZEe9Hv9WIwGWRRoXC3uyYYk42KowKV9E1ZT5i0SLQ4Xkw2d4QxcDZVFFg44vfLYjKVS4MZbENn+Ckw7iQ6PMX7MmM4+3BKbiR5XFhncGAZTG5rsmI0Kh9ZHqE7MNrj0bzL3efJLYWVCffkwZ+F272VecBtbq87I3j6P/zrY90a5Q+uSKHftlHnfIedB2URZxIlzH9ULp9dPe68nBoO7WlhEYxzFTNVMWPpDjnGvZGbH6xkdw0GDt2+Hf19HYbCXZVNvgG9vEf+b6Sen58ydo8gXuDmK1r4At/svw9K1Ja6TcCJoPWzD7qT83oPQ0wxLf5j4wrAUyQT1G+/zzvRv8EnPryiYq2OgnnikTPLW/S3qpqn17uT7cHMIXqcwdbULoGwSPP9tcQZ/78Ehphx6kJbJ1L61wqAdf71MRCJeH9XvZTDAJ38vTPOL34+5qwEGN/7E0O3Tx+DmfA7ulpAs84gr4YvPS5vBY58Xd/dBsDsTZFgPxvsPST/dmf8z4ICpE0OizhZeLn1wy26OMi0aafTG68Ftfg92vAZL/lvGu2zAVgpfe1dW1xFpZlWRRTeD6/EHaO/1MLE8jktmLBz7Femh3fQ0E0pSjAr66AlZXJp24sBjBmOIxf0Yz4dPse+Aa0hEUCRsZiOnzJnAK5vaCAYzZOu7dopxVMVU+Mw/YmYHt9hdYSlyGCYrnHMLlu4dfMH4SmqFy6q7oWmNLOiUT4Zzb4HLHpS4p3tOgi0vpPxnuLwBCq1GSSfo3Bo//zYSZVOEbW3bhM1syGgxOBhUaXW4qQm2RcmTQcZVty8o4+SMpXLutMfIWO3aKT26s8/C7vTGH0MmHSUtJEn6cEtt5uzm4DatCzGFA61SG/bZObS+dOg9qHq2fL+N78C6+4GQ4/YwGpL5PpKxeP/Ec7K307mfEHXIO38Iz68qQt9L3AJXVaWP3WSF8+8QBZ7LDk9cldZ9XoPGvk6NZHC9/eKqnazffMn1dBTP5buB++izd6Z9DCmhcTU8cjn8dn5K+eKjjo6tsOJWnLPO53TPb2id/yUoqhrtoxoW5AvcHEVrj5uV1hOh7nAxV/Gn1gdVWWTBYjQMb4Hrc8sq3pQlA/03yVBSy7Lqy+k21+orXBQFFl8FbR8NrLBCePU3a3242ZI9unuyIs8dk1hzj7CA590KV78Mn39SBs5nvw53HS0S2BTUCFrPWEoM7lu3i3xu8VXhhzQX0SGMQfVsWXT5+N+w5fkhuzIbDZiNCs4EhalTZ0xQgcWUuxJlVZUV/OknQ0G5OP/+17MiX3vyGilSI2B3efX13/a2wSs3CVN+5BdSPqy60kFRZ0YTLP2RjAWbU+xrDAZlApuGGmYwNAa3ZHCB++ZtYCuHo7+c8XskQlWxlU6dBa7WoqKbwQWYcaowrqvvYUJxSAmkp8B1dQtDd9inpKiNxPyLofoQ1OW3YCAY02AqEmfPr6O918OGpsRxMUmP55+fAVT43L+iZLWRaHG4aYgl4Z5zNsw6k2+an6Snc7++9+zcLjL6Qz4RzWLPu1B6nSumwaOXi3w5hWLA6Q2E5MlaHmiS/luQRbyaQ0MFrjHc8pEOOkOGlRXe1iEFbmVhhOvujFPkwVgy5VA8ELPPxO70xZcomwt09eGWFmS5B7dprbgnh87dYFDloyYHCyeVx95+0efkWnnt5+BooqHMlrqUPQWoG59iQ3AGlgkzs7dTg1EW5JrXhxlzk9FAeaE5foG78UlxtT/tJ7JoWbdAFov3rpTPIk1oDsjTIhnc5vdADSQvcI0mth3zKyrpwffSTWkfQ1KoqvRe//Vc+OtZYibo7JKCfyy0ywWDMh8zF7L5iJ8ASvL2lTGMfIGbo2h1eKgtK5QeVUcjrBtqtJQIiqJQU2qlbTh7Qt77u7jbDe69TYKUGCCQiYK5KOozKM9Wges8AM99C/5vkqwUZgJVFQe6u46WyKODCa5uePsOmH0WTD1ezofZZ8CXl8FnH5GMxKe/CncfJzdIHQyc2x/EajLok8KCfObbXhRJoHVgAq31isY85064QXp7nv9OzJ6vAnPi3lmRKCePCSq0GPEGgvhHIVswKdo3S//Z3PMHHrOVwhVPysLVM/8Nq+8JP2V3+gYivhLhpRtlseeTv08up4yB2jIbnX2DnOAPuwQmHBpicXVO2P0eePJqMbr7zzcyZn/73DEY3NaNsPV5OO46XSZamaC62KLbZErLOZxYkcIkRlHgmK/A/veY4toE6GRwP35WHIgPv3TocwYjnPJ9bPbtnGdYHTMiKBKnHlKDyaDw8qY0ZY8Bn8gmu/fAZx4WGWOszYIqrT3uoQwuyOdwzi3Y8HFSY/JYMYIB+PfXRI5//m+H3hMrZ8DVr0hM1jt3SiuHTubHpbVCNK4Cg1mUTXpQOx/aNmIzGsKmfemgxe6mlH4s/r4hBW5FpKS1bBJUzY5T4L4iz1VOpzvZHGDaiZKgECO6SkNJNntwfW65/0cY6uzq7KfX4x8wmBoMRYFP/k7k1M9/h/oyG71uv345fypoWo+l/UOeCpxEVXF6xqNxsejzsvjz7l3hhyqLLLELXLdD2nrqF4m7vYaFn5Ex49275P6eBrQM2ymRDK62oDPpqBiviEbFrGO4L/AJKrY8SlXn2rSOIS4Cfsn2/tMJ8M/LJDHknF/DtzbBaT+W1oyxEKez9j75TM+5hb0emSOldG8YY8gXuDmKth639NHOPE2YlTd/A57elPYxhAHJJnwuyRmdeqIcXwqwu3zx+29iwVYKCz4tA2coAF6bYDvSlSgHg9JndudiWP93mQSnuIgwBE1rxUylrw3uPws2P5fZ/sYSVv5Bbn6n/zT6cUWBueeJ2dhlD4JilBzBP58AOxL3y7h9gdTkyW//VgrpY78S9XBYohyLdTSa4YI75Tt77X+GPJ3MHMrl9eszmdL6eXNRprzlOUAZagBlKYTLH5XC98XvC0OJuCiXJ7t+t4Zu+Cd/T5jyNFBXKk7wUcWVwQin/lDiXPS0bnh6pZ9409PCtrz/kPwtGay298XqwX3zNyIHPfarae9XL6qKLLp7cJtCrq6TUpEog0T8WEup3fwgoLPA/ehxcUyuXxT7+fkX01EwnW+an2JaReJJelmhmSUzq3hlU2vqRoKqKu0Ru9+Ua3vaCXE37ezzEAiq1MdjMapn8VrZpzip72XJcU6EVX8SafK5t8aX45tt8Inbpd+tbRP8+aQBZjMBwnnb+1ZDwyL9Bma188HtoMHYnRGD2+JwMVkZGhEEMXJTZyyVbPtI/wVvvzCys89CVVUcLi/l8Rhc0NWHW2LLIoPb+hEEfYMMpmSusWhyHAYXhJE/9SbY9hKL+5YDw+SkvOYv+E1FPBk4aSDuK1uwFMqiy5bnoXMHkGCMeeN/RYL+yd8NVWmc9SthWp/5uiyapoi9Xf1UFVkotUXcW/atETO1OOqLSEytKuQO/6foKD6EeR/fKtd/pvA6xQ39ziPgqS8Lm3zRn+GGD+C4a6UV5dhrhfl/8ftCmOQq7I3CsM88HRZ+liZt8TPP4OYx0mjtcUsfraLA6T+X3Lt37kr6ukjUltlo6xmmmKD1fxM56qk/TPmlDmeKBS7A4i+C3yWraBC+OabF4DatD7E5N4iE69q3REK38YnM5MUfPCyxRte9AzVzpYfxzd+MrnQlGIQnroF37x6+9+htlcndgktFrhQLBoPI9K5bCZ+6X5xaH7oEHr8KelpivkQK3BScejc9LavKg26GWoEbl3WctFhY33X3izPmhkfDx1RoMcUtSlVVxRmrB9fvHSI/1Iyo3LkoU978H3HUjDUpN1nh0r/D4Z+BN34Jr/0cu9Mbff0G/MIAb39NJgMv3igyqJp5wpCnibg+AnM/Ka0by/8vscyzr0NYsj1vw0V/ktiy478Oa++VjO40r8t+j3yHRRpz37FVomCO/YquiVimqCq26u7B3W93oSgDMSa6YS2BRZ/HsvUZ6o2O5BLlnv3yOS+4NL6ax2DkieLPM0tpxrQlucT8rPl17OrsZ2dHX9Jto/DOndL3f9J3YNHlCTfdHypGGhJ8PuumXEMH5ZIVHI/979wh18ch50m8XTIc9in4ygpxbH7400nH535vgBJzQCSbyeSakQgZTc1hb0YmUy0ON5OUDvllMINbOMiUaMZSMYZsXjew0e63IOCB2WfS7w3gC6iJF8kmHZ20D1frwQ0vgLi6JS+6Pw33be1YBxlMFVtNzJiQWE6vFTiLNt5MGX3Zd1Lu64BNT7Fn4gX0UUh1thlcEPbVaIZVolSIyeA2vwdr7pUWjIYjhu7DZJF7hbVY+t6TuGAPxt4uZ3T/bTAoC0ax4oFioMhqorSkhLsn3YbbViftCUmMyuJCVYXw+N1h8OL3JL/98kfhundlTDFGnLtGkyykOQ/IfSUXoarwn2/K/z/5O1AUmrtdVBdbU0+pGEPIF7g5CH8gSGefJxz1w6TFErHx7l0y2OmEuJC6sx+l43UKezvtpGgzEZ2wuxIYTMTDxCOhfqG49KoDN0e7K4UCt79LJt73nS4TskvuCxnqzJd+GrcDtqZuAAIIo73xaTj0k+JE+sXnYcFlsuL55DXy/Gjgo8elcH/5h5kz1PGw4lZZ/T71R8m3NRiFjf/aKln53vK8SLpX3zNEcur2BfUPvm/fIROiJdcPecoaKpITLqqcdpOYGG17SaTUv50Ldx3Dt3z3ckj3irByIBIef5Bq1c7s3jWw8vfw5Jfh7iVwc72cY4EBdkErgnPOSbl7r0RyRMqTB8NoklXrxVfB23dwM3dyfssf4OHLRAHxqzr4wxHw8KdkMvDeP8RZ8+I/xzT10Yu4TvAGg8jCuvfEj3k6sFt6pDq2weWPyPWtKHDmL2Uy986dInNOA30eHwVmI0bNdffN24RRO+5rae0vVVQVW3B6AwndvTU0d7uoKbFiSdWJHOCYL6MEfVxjW56cwd34JKBG953GwKN9R7LfMi3kqJz4Wjjz0FqA1GTKm5+DV38K8y6CU3+cdPOWUDFSXxafxaiqquJm7+Xi4L3hn0M3CAbgma8NmO7obamongVfek3uGS//UM7HOPdqlzfAfHWXFInJ8m8jUTMPgBnBPRmZTLU43Ew1xmZwNVOibq0gmnYiKIZomfL2V0RdM/V47CGmN24PLsj1NPGohH24JTYTQVWKf0CyPN+9C9b/NaW/DZD+/NKJUFoffmjDPjsLJpYNXOfxECpwTB47N5kezj6Du/5vEPCytubTgFz/WUdxjag2Pvgn9HcOLXCDAcmNL66Ve2U8lNaLw3T3Hnj6upTaQaTAjei/7dohixYpLOhMrSzkY4eZDxb9UhaPHvp0cuXFYPg90sry3Dfl+rnqJbjmFTjk3PitNnULJBru/YcSRuyNGj58DHa+Dmf8LHz9Nttd41qeDPkCNyfR0edBVYWBDeP0n4Zkwbfp3k9dqQ2XL0BPNo0YQDIS+9v1FTQxYHf69JnUDMbiq8Sdcd8aCi1GzEYFh54CNxiQ3oM7j5QBfMl/S3zD4RFsw/SToXSSPJ8OtjwPHodMpEFu0Jf8BU7/mTjR/vUcKapHEj63FNj1C2HWmSLby7Zsumun9GIv/qL0mOmFFvvytXdh8tEi77n3NFklDsHtC4QNohLC0SSs6xFXyo16ELR9JFxUsRRJQfa9XcKsnPkLKJvEWZ5Xub79Z3DrdDm+134uLMGDF2G54xDW2r7GBR9dL5PqvSulB23BZdI/tn5gQWFYC1yvM32VgGaudWiCAhfkxn7+HfQf9d9cbFzJYa1Py/lcM08cqy+4C656Eb6zFX7UDF9ZLuddBtBYx5hZ3rPPEpZnxa1DVRctH8Jfz5bJ0ReeFbMgDYoivVNH/pdE+rx1e8rH1ecJDMiTu3bKAtJRV0NRdcr7Sgcag6OHxd3vcMU2UNKDqpkw60wuUV+hqydJe8xHj0PDkXF7XUGKtEa7m/dnXCsS8yS9enVlNhZNLucVvXFB+z8QGeHEI+Va1tH3HWZwE5hw1ZfZeDp4Iq7axXL9D2amVv9ZpMOJpMnxYC6AT/8NFl0hRf+LN8YsCpxeP/MCIdlnKgxuQTmUTWaaf09GDO5+u4s51u4hGbggC4eKAt2amqqgXM4FrcBVVZFhz1gKJmtYdZW0jz9JH25paMGy1+2T/u+P/iX9zxseTX08bForWdAhePwBNrf0cvjkOP23g1G3gODx3+Ay0wpMe7NY4AR8Mt+acSo71QYKLUaRqg8Hllwvyqq191NZZKHb6RtwMV97n3wX59wsGcyJMPV4iZvb+jysvEPXW7t9AfY7XNEMbthQLYUCt6qIvV1OfJZyyXQtqoKHLpZ7gh70tsLfzg8pQL4rZotTl+h77Sk3yhzoPzeMHqERC33t8NIP5HM8+kvhh5u6nUzKF7jDB0VRzlEUZauiKDsURflBjOetiqI8Fnp+taIo00b+KEce2oQuzOCC9LEdcYVki3bv0bUfrUDOahautx9W/k5uVlOPT/nlqqpid6VoMqVhwadlFXj9AyiKQlmBJblEueVDuPdUMRGqWwDXroSzfzXUCMZglBXMna/HlcwmxIZHpECeFtGPrChw0reFQeraAX9ZKivFI4V194tB2Rn/A5f9XSYdT1wt/VHZwrKbhTk9+Xvpvb5qJlzxlPSk9bZIEfn8d8HtwO0P6pMov3MnoMoKagwk7MEdDINBetxOuAGufIprJz3FTeW/lr/PYJb3WnMvuLpxTTud//FdyRvH/RW+vxu+/TF8/nG46G6YfkqoX6kr6hhcviwvNjWugt/Mkv7jdLDlOTHZ0rM4oSg0H/1D5rvv58VPvgfXvS3RK2f8HI68UsaDkrqs5ehVFlowGxVaY7VZKIqwuD3NssCiYfdbIks2mMXJO5a8zWCA838nCxGv/yJl+X6fx0+xZjD11m/l/D8+9rk3HNB68LoS5VSG0NztyqzH6tivUhnsZu6BZfG36dgmk98k7O3Ojj5UFZR5F8g5t+LXUSqHWDhrfi0bmhzJY3r62uGRz0oG8Wcf0d2j2uJwU2BOkMmKxu4qbDniJ9DfKVFoGrp2yjk051yR8acDowkuvEsKjDX3wL+vHSK9d3kDzPZskus0xiJeQtTOZ7JvN15/ZgzuNFOnxB4Nur5NRgNlBeaBHlyQ+UHTOilOO7bKfWj2mcBAW1FCBhdCfbiBgUJnEEpCi0z9B9rEKLJ+odzbu3ZELZQmRX+nZMFGGBltaenFGwiyKJ6DcgwYl95II/Wcuu1mWXTMBrY8B7374Ziv0NnnGR72VsOEQ2D22bDmL0ywqQSCqhAIPS3w+i/FD2b+Jfr2ddx1IsN/439h5xtJN2/qdqKqgxyU962WxZSqWbr/hGlVhbT2uPEGVGFwv/AfWZT5x0XJ+4Kb1sE9p0hv/KV/h9N/kpo5orlADBW7d8PyW/S/DsSk8E8nykJ5tiPwXvy+zNsvuDPKIXy/3c2kcdx/C6NY4CqKYgT+CJwLzAMuVxRl3qDNrgG6VVWdBdwB/JqDAFr2Y23poFXlpT+QE3TZ/+naT23JMGThrr1PTAaWpsfeun1BvP6gPhfWwbCWyCRq09Pg6qa80JzYZGrDY3D/mRJX8um/ymBXMzf+9os+J8YWHz6W2nH1tMggvvAzsQfEQ86Fa16V1eUHzgv3EQ8r3A7p/515Gsw8VRjKz/1L5CmPXC6DeKZo+VDYq+OuS525iISiyM3w+rUiH113P9x1NEf2vJ48IqivQ0zCDv/MEOmchoQuyklgsdhYzzxRK1zzMvywCX60H766gpalt/FA4Fz66pdItE7k33Pur8Xg6I1fAoRX3V3eLN682rdIn5GvXyTSKfY80d8pMQfJ2NsI2J0++imgvGgYJ1ohGAwKNSWDsnAjMf0UaZN48zaZUH78jPR1lzbIdzXhkAQ7N0pf7qEXiDx07f26j6tfK3C798KHj0oEUkltin9d+qgqknG9M4lsWJvEZFTgzjydTsskznU+G3+bjx4HFHG4ToDt7cICz6krhaU3SiGShMU9e76MK68kkyl//IwskF32YErfRYvDRX25LaFTe0NIvrzdOEuY/zX3yLUXdk1OUZocC4oirNdpP5b7z2NXRrFATq+f6a6NEsmXKmrmUettJOBNfx7QYnfRoHbEHWMrCwdJWmcsleJ070rY/rI8NitU4Ibu2UnH4yR9uCU2M6BSufxG8PRIG8WCS8FoletSL7RF50iDqVA81cJEBlODYS7gnrIbqPLtF3+AbGDNvfKZzzmbrn7v8PTfRuL4r4Ozk4UHXgJCi2gv/1Dc0c+7Tf85rihSUE2YKx4g9saEm+/pjJGBu2+NRNWlUGROrZYCucMZYp7Lp4iKx2CGv18QNtEagvcfggfOlWv5S6/C/It0v2cUpp8sSrJ37pRFPz3Y+KTMU7t3y3386a9EG7Rlgs3PyXz5lO9H3Q87+zx4A8FxL1EeJq2DLhwD7FBVdReAoiiPAhcCkQnhFwI/D/3/CeAuRVEUNetNpSOHp99vCl/M8bCxWSaqQ4xBShvEpXPlH2Qgqjss4X4SSvzSgadPLsCZp8UMmrc7vTy8ujHhSrHWN5aWRBngqKtE+rnhMcoLDo/N4AZ8kjO4+s+SwXnp3xKuert9Af7+zh6c3gCfKTkc68q/8aDzXN2D+VFND3KSGuSB/iXYX90WZysTtjn3cf6WG5n81JfZ9Pa/aSk5nAMFU+kumIrTXJU15gvg+L13c6yrm4eKr6bztW1cuGgi06ur4MqnxOH5H5dIX0nFVN37bHW4eWaHl/d98jde+PEPaDCV8lfvJ/DE/btThPlL1C44ntN33sI37bfwVeX3cHOCYSrok56ZE78Vd5OwyVSqxmaItDhKVhzBDGnFaswc3JpD5Vpd9Sc46ioKLdMAdPVNavD45bzUTI0iUexp47MfXo1BNbLskFs4f+sPePuRW1g76aoYe4qN+W3PcJYa5CH7Ajp0fn97QlmFaV+/KaKuzMZ7jd3cEef4Gkr+i8/s+TJ7/3ghUxxraSlZwL+n/xbPGicQ/ZpCi5EvHD9toK/baBLDs39dKfJ9kw2O+HzSY+pz+yn6f/bOO76t8t7/n3O0t2x5j9jZO86AhBESWmahjJZRyqXQQUvnLXT8oJNCb7kdUNpeuKWU0nJZpYsVRgI0g0BIyLCTOMNZ3pZsy5Zk7XGe3x+PjizZR9I5smQpkd6vF68QzWNHOuf5Pt/v5/NRyegkC8NOyUgrEyyxDm7qAnfYk4VFDMviYP2NuPDUrxHq3QtFw4R4GkJogTtzXdpNrg6bGwoZQ3V2FVcB1UtoF3fJdfTfQoDZlXrMqdJj0yErbjuvOfmLW/fTbo+Q+U0K+h3+WAGbjGoTLSr6nT4qFTr0Eo3Amnsp0PMBLazitJs8dncA75+w46qWOnEHwzB0UkRtBl7/LtUPfvp5QG1EdbAXOoVD2nhy7AdYDBkiqAn3SH8uaJSSbSyAco0NMF8k+JgynTKxg9u4GpBr6JiyrZ3+W5vqAYyPMqd1Yldq6dhwEh2uUS3H1ewOlHe9SadIqqP9kQVXAAf+QV19BTwAXm7tw8khT+zv53ZtxGrI8OhhPcId9Jyx5eggKg0q4fioFIxUrsZr3ktw5Y5H6Oe6LomjuBisB+kGwSX3A6wMw+5g7h1vm9cCtcsx/+RTYPBTRDreogXSR36QUn4giFIHfOoZOrn28tdogyEJnRMzcH2jwPBRcYZt8YcfLZBt3rg1qGU2LXL/fAXw1FXA514HymfS+yIhGnu063G6YXrDXxI3q9MwNBbAX3d1I8yNlyQq5Wdxm/w1uJ+5A8+3PAnCCJ/bGBLB2q5HcVbf0+gztOD1hb/ADbKtMO/4b5qte+PTCXGHYum2e/Hivj4oQi7cuveb8Gnn4jnfleDirqG8aeCZPqKczwK3HkD8GbcXwMSzd+wxhJAwwzBOABYAw/EPYhjmSwC+BADV1dXYsmVLjg45PW63O+X7/2m3HweH02tharQM9n/4PtiJ40BYjTVyLVx/+yYO3qg0nAAAIABJREFULEvt2BaMEDAA3ms9jEr3CTGHn5LG7n9itteOvcbL4RL4Gf/dHcL/HUq/8yRnAW//MWzZcjKj41hpmAvZtkcQkf0K3T6S8PtWBB1Y3P5LmJ3t6Gm4CiebPguy+xAS900SaRsK4+E99Atvk63GzxVPYMvmN9FGxIzGEGxS/gt7MBf3vR8EcCzlo3+NO/ED+TO4ybYJiwdfi93uIlqcJDU4SepwkqvFSVKLg2Qmuon0zlAVRvFl1bN4iTsPP9zJAjiGtqOncNtiulDTzf8elrd+D6HHL8e+Fb9ASCkut/Pl40G8eDwEHD+G1cxh3KV6Dw+EPo3Ht1oBiNTJiUIBFj/A9bKtuMzcj3llqXW4bv1M2A72AegTvN/riKBKy6Dr0F4MH5O2ieAYDsDpiQh+p4+O0O/xscMHoRAYf5LLzsdqxbPwPX8HDsz9GQBgT9tBKIeOiHrvg8NhPLh7chFjhBt/V94PMGO4IfgjHGqbAb2iBUs7n8YXj54FH8Qtyp5UbEAPU4kf7mSQ7nMbj14BdB3aC/vx7G3IJKOaDWKPPYTfvpPs+HSoVrTgQucuvBNZga8N/Sf8Q4MABgUf7bWdwoqqxMseW/0FLBmyouzlr+Nwxwm4dStTnsN7hrxYonWA2/N/sNZchI59xyDl9zdVAhG6mPpw/xFUe5KfQ0846OdzpOc4tgQ6M36/90gLziYqDL90P04tuTPhPoOrA6tGT+FI1cdhTXPd/eCQH1Ua4L13aXxHRcXHsaT95zj89/thq/lo0ufN1gTwzkk3Nm/enLTTuqrjPYRVjWjbKk3/2DnoxdIKWdo1g1HJYO+RU9gi70d9w42Ye/yPICe3wW45GwdHawCB5//taBCvnwoh0H8EFRopw3JzUbXwLiw48lt4HrkQOxb+GMtAzxm7rCy8Etc3Wo8XqwHMCJ7Eli1b0q5RJjLi56Dj3FBH3DhuD6FX4LkRrx/d/sRr8TLDAmja/gVVwI6exmtxKnrfvhN0jdC2ewcUaQycmplGNPX9A9vffh0ReWLU1ejIMO5X/Bl96nk4FloW+zcoZ5dgme9FHHjpYdgrEpeUgTDBnW97Ed8hWaX4EIeZBjy0JXED4MJGObZK/DxFxgL4ifcGXKzbjeBzn8PelQ+CTIzTEcm8o4+gmlVih3cWgps3o3PIi1qFN+fr2yrzRVg08BCuYHehYssL8Grq8GFkBUiG79vQcD3mnHgSe1/+A1wm4amat1r9MCoZtO56DwzDoNy+B8sAtNpVcEh4X1+YQMYAhwb9k35PukU/wvLWHyL8+KVoXf4AOFYZXSseRE/DtTjZeCvILpFa3SgvHA3ijVOTmywH2Vvwv6Hfwb31ETwRuXLS/Sa48T+K/8FZsgN4Onwx7h+6FaGhEWypW4Efzf8G5h99FGOPXIgDS3+EkFKkDjzKH/cH8F5/GA/I/wiNzI6b3Hfi4OZTkx6nkQOOznZssUqPdDptIITk5T8A1wN4Iu7vnwHwyITHHATQEPf3EwAqUr3uqlWrSD7ZvHlz7t9k20OE3GskpPO9tA8994G3yV1/3Tf19/S7CPl5MyFPX5f0Ib988zCZ9b3XSDjCTf39UrHnKULuNZLHn36atNy3cfz2ng8JeXABIT+tJqTtBdEv98wHnaTp7g2k3+ElxOcg5KdVhLx6l7gn9+6m/xYfPintZ4hECBntIuTY24R88BghG75NyFNXE/LQIvp69xoJuddEyIF/SntdQgh55T8Juc9CiP0kIYSQjzy4mXz1mT2Jj+l8j/6cj3+EkIBb1Mve+/JBsuAHGwjhOEKeuISQB+cTEvRKP77TiPteaSeLf/ym4H3/PmIjTXdvIHu6RpK/QPSzOrLjadJ09wby3M4u0e/9111dpOnuDaTb7hm/Megl5E+XEXJ/BSEntozf3rWDfmbef1Tci/uc9DXe+J7o4ylYRrsJ2fk4IeFg0oeMuAOk6e4N5I/bTgg/IOAh5MmPEfKTMtL32A30/DHaPelh4QhH5n7/dbLrf28n5L5yQkY6s/VTSGLRj94g973SnvIxG9r6SdPdG8ihfueU3mvjwQHy1A+uI5H7KggZG0y88/W7Cbm/kp4307Dul/9OPA9FIoQ8spr+3lPwl/dOkaa7N5ChMb/wA8JBegwbf5D2GOIJhiOk+Z4N5KFNR9M+9qr/eZfc8sQH0fcLEfLoOYQ80EiIsz/pc659dDtpunsD2dCW/DEpOfomIT+tIp4Hl5N3friOBH82g/7OpBIOktBPLOQPP7yZECJ9jbK7c4R87J5H6Pml/SXBx3znb63knAfeTrxx+2/Hr2Wd78duvv/VdrLwR2+Ie/MTm+nzO95KvJ3jiP8vnyS+H1vIS29tTrwvHCTkF7MI+estk17u8ICTNN29gbzS2kdviEQIeaCBkFe+Ke540vDHbSdI090biHvvP+lxb/9NZi/ksdN1zMtfJ4QQcsw2Rpru3kBe+HDyOSnrhIOE/HoxCdxroT9D/HUmE/xjhPz3DEKev1n47lCYLP7xm+Tuf7SN3/jOTwn5SZnotUk8n//zLrLi3tdIRGgd2reXfm9/00LIrxfTNVDrXyW/ByGEcBxH1v/y3+PnhcQ7CXn2U/TfMLoOizFwgJCHl9Lr756nYjd/7dk95Kz/eotwHEfI4dfosf12haRrTCTCkVU/fYv87o9P0H+7jT/M6Gc7nQCwmySpB/NpMtUHoDHu7w2Y3IKJPYZhGDkAE4AMQs7OMNZ8meZyvf2TtG6BTRYdukayYHiw63HANwJcmDz31uoMoFKvSm+rP1WWXAeojLjAtQEOb4i6Q+75C9VQyBR09FbCaIvN6QfLAJV6FXUIXHiV+Ezc1uep5mfxJ6T9DCxL9SFzLqKjrFc+CNz6MvCt9qjGcxsdR3vxDmmmUEMdNKbl7C/ExnDMGkVM9xSj6TyqS+7fB/zt1tR5olEc3iD0CoZG6fTspK6BIs1cTlfoiHJYMGrLFx1dnpSDG8/yW4C6FTC9ez908MWeIwark3Zvq6J5sOAiwD9vp8ZSn/gDMGv9+INnnAM0rQXe/x0d2U7H8beorkqC/rZgMTcCq7+YmE048SFaBYxqObrsSc6FSi1w8wvA4mtRNfgudeP9zRLg4SU0/mn3k8DgYVidXpgiI1gx9DKw7CZJI/7ZpMKgSjui3OegP+tUdVaVBhWeilwKlgsCe/8yfkckTPVj8y5N66zqD0XQPeLFnKq4kTuWpaPNA20pI4N4F+j+ZPErwx00PqdmmdgfCQD1uiAkdQYuT61JHYsUgkwO3LaB5qcLjCYDVIpwoJdKjXg9p2TmXQbc8i/IvDZ8VNYKZsYaaaY3PDIFRrUzMR/dCEWkewAMOH1JM3B5+FiZhPPkrAvpn2pTgr7V4Q2lN5jiaVhN9ZMTdbitz0J16m38InwT+uQNiffJFFSL2/EmHXWNg5eHxUZh7ceofjfOYGoq8HFT3dUX0ei1zQ9QIzKp7HsGCPuoJwWA/dHP0HIpmuBMkSmAc74CJUJ4MXI+uk1np39OKlR6+nMc2UANxybw/gk73IEwLl0cN63Ws5NK8JS6SY9Px9XL6zDiJ9jdNTr5zroVwC3/oD4yhAM+/yb1TsmAY4NudNq9MZ+ABBgGuPIhgJVTAzT+e8HrbSNBmjqw8tbYU9bPq8TQWACHB8bomP2tL9NR5T9dSsfVRXDY6oLb7cLnRh6mhnQp1uvFQD4L3A8BzGUYZibDMEoANwGY6GTxCoDbov9/PYB/E6GVZrGh1NLiomcnXXiloMmiRZfdk/IxaQl6gPcfoSYRDauSPmxwzJ8YbZQrlDpg2Y2YO/wOKjGK0EvfoNbszWuj8SRSFzoBVOhVkMuiXwexmbjhAC2EF1xJoxGyhVJHHSE//TxgbgL++un0DoA879wHKLQJrsZmbRK36QVXUjfZ429TjUwa9z6HLwSDnFDX0PLZ1NX7DEejlIEjNPN2InyxKqjB5WFZ4IoHwXps+Lr8JfgkRHXYxvwo1ymhksvoBfK1b9NFwuU/Fzb0WfcdarSTLBs2nsMbAF1lZpq+0xCGYdBcoYtpvQRRGYDrn8T2tc8Ad7xLY1/qVwGnttJFyv+eg6rHFuM55c8gIyHqkJ4nLDpl2pigfocfBpUcRnUGhn5xVBnVOEHqYbWcA3z45PhmWOc2GheXxj0ZGHdQnldtSLyjbgUQdFPDqSTwET5JC1w+AkRigRvLwBWha6w1aTDg8I0XcDpLys2NPV2jCHMEShmLtp4MC1wAaD4fP696EP1MDeTLrs/4ZUYN87CA7c4oKmjA4UcDw2fgCv/MZTolAmEu8fxWvQTQ11Bn3jiNtcMbFO+HIKTDdfQAb9wD0nQ+nsXlcPkEfA1aPkWLiPYXE27m10IzeDMjAYOpqVAb/awOuPzAFb+iJlkb7pQWW8THGs44jyY/gGby6pQyzK6UrsnMiLM+D8fae3Ff6Fa8uj8L8YZr7qCa7Pd+N+muTe026JQynDc7GrMWCdPs2gyvTRcvrIZSRrXWgjSuBr62i0YUStTsx7PxIJVlXbooiYzMVE9zZ09upvGTm35EUyxqltEowgmbKuvnVQIAth2LbibNOIcW4AxLmzcpMqExZgP2/w3sK1/DZtW3off2AFf9jn5/ipi8FbiEkDCArwPYCOAwgL8RQtoZhrmfYZirow/7EwALwzDHAXwLwKQooaJl5a204HzjbtrRSUKTRYdhd5BmxWXKnr/Q7u36/5fyYVanHzXGHLv88az6LGRcEJtUd8PQ/iyw9lvAf/xDkkEAj9XlTzT0mrmehr63PZ/6ifwO8fL0xjQZoS0HbvknNb955vr0Obo9u2gBdP43EzI5zRpF8jilVbcBH+GdO/8D2Pk40LVDMHvQ4Q3hCmY7zSL+6A9TdszOFPjurNDC0Bu9TZOqgwsADWeBLL8ZX5C9DqVTvO7c5vSPO6lv/SU1V1t7F3DOl4WfMOtCoP4sYPvDqTvy4QDNpZx/RSw2oBjgMxLTwsjoJtmaO2i81rePAt/YC1zzKHoq14MFB8/y26WbrmQRi16FYXfqDm7vqC8rLpl8LNHu6htoZMmRaJb2gX8AKiMtYNJwzOYGAMytnrBA5xeY/fuSPpc31ulzJJmosR6g50gJcSLAeMEsxkiozqyGJyg+U37XqRGwDO0mHehzIsJlti9PCMGrQ5V4aOHfJBvuxOMyzUM140DAOST5uf1OH2bKh0GU+kkZuDxlUUfkBCdllqWOtFf8KuGxDl8IZToJ147mtfTzEXDTQvGVrwOEA3PNo9CrVcJrm9rl1MG3LTERoWvEi3KdcrzA7tsNqEyAZa7440kBb1jW7/BTU9BL7gdObaObk2KL3GObaGzR6i/GbmrtdWJJvSn303E8Cg3MF38Lc5pm4JXWLBS4ugq6Zt3/AuAcLzwjHMFbh2y4cEHVuPnfYDtNBsiwwNWp5FhZJcPrBwaSTyyY6tPn+aZh0yEbVswwo2pi2kk8Z32BTiG8/FU6XXXWF6jZloDTe5VRjQU1Bmw9GvcdrVpIJxINtdQY9FC0BxhwAx2bgDe/D/zvecBD84B/fRENti04rlxEzb1mXjCln+9MIK85uISQ1wkh8wghswkhP4ve9mNCyCvR//cTQm4ghMwhhKwmUcflEqAL0+ueoON5L3wmafHDu8qJWtgJEfLTXbfmC4QzJeOwuvyJ2b25pGYpfDVnQ4Ewdq3+Ld0py3CxbnP5EyOZ+Ezc42/T4O9ktD5Pd6hnfySj9xVFWRPNVvU7gGdvSB4FQwjw1r2Argo496sJd5m0Crh8KQqedd+hHd+encAb3wX+fDnw80bgty3AC7fQ4uroG9B6enBr+O+0u7woQxv90wy+O+sVGC32RR2R+QigVDAX/QRBKLH+pPi8Wvp9UgG7/wxseQBouRm46N4Ub8LQf0tHdzS6JQkntwLBMTqKX0Q0W7Toc/ikj2kyDC1mV9yCF+rvwce4h6G96pe5OUiRVOiVGE7Twe1zTDEDN4pKLoNZq8Auxdm0g7fzcRphc+gVGrOkSH/OPzY4BjnLJOZcAkDFPDpxkqLANWkU0ChkyTu41v1A9eKkTszJiHVwRY0oa6LPSZPHG2XnyREsqTfh/DkWeIMRHB90Szo2nj6HD8PuIJY3Tm0x7jFTcx+SQTzcgMOPWYoRMOYZSZ3++ZHjUc+E64x5xqTpplFvUJoLeywP9wMaIXdyC3DZfwHlM2FUyzEmtOnAMDQ6rucDYGR82dhl9yRG0fTuBupXZDb6LUClQQU5y4x/TlZ9lm447/6T+CJ31+OAoS52fg6GORzud03PePIErl5eh6O2MRyxTt7wlsy5X6NjwR+M54639oxi2B1I7IL27KJ/pllvpmJNrRyj3hC2HxtO/+AM6HP4cKDPKTyeHA/L0ozrqkU0NunjvxZ09uZZP78Su7tG4AnEfabNjbSTW7sM+PttwBMXA79oBp67gXb69ZXAxT+B97PvYGXgMby/6qGiu7YnI68FbokpojEDNz0HhLy0yBXQ3jVFFxQZF7itzwJua8LIqxDeYBhj/vD0jChHCd34HC4MPIxW/dR2qgQL85Y0mbjuQbrT2vKp3HfBaltovuPQkei/s8DCtmMj0P0+zUqeoFsxa5QYC4STL+wZhnZkv3sC+NYR4Oa/Ax/9Ed0Ftx2iOqLnb8Jz3jtQxQ3RIitLC4JCh+/OChW4XjEjyjyGajwhuxHzXDvov5UIbC4/PoIPaYTNnEuAq3+XPkpq3uVA9VLg3V8n1zUeeRVQGqj+sYhosugQ4Qj6RsUVKUJ0DXsxo1wLdro6KUmw6FQY8QTApegM9jt8Mf3qVKnUqzDoDtOuUvf7wLsP0U2SpeLGZjtsbjRX6KCcmGvNyuj5LUWByzAM6sxq4QKXEFrgShxPBmi2q0Elj+appoYfkx5I1kWOwx+KoLXHgTUzy7GsgRYlmY4pt/XQDU1JeawC+Mqi+e+ZFLi8BjeJ/hagGlwAiVFBSXB6Q9IyyRujOtx9zwCbfkxjClfRODSDWgFXsum0ZTcCYBJy5zuHveObLEEv/X3UZ0d/CwAylkG1UT3+OWEY4OL7xBe5w8eAE/8Gzvp8bELqiNWFYISb8mcgE65YWgsZy+DlbHRxy5ro+WL3nwHvCABgY7sNChmDjyyIi3Hs2Uk7lqbGJC+UnqUVMpg0iuRjylNkUzttfKQtcAGaP/vVHQl622Ssn1eJUIRgx4kJVkPacqrJXXoDwIXpZsFnXgLu6aK3r70L2z0NCHEM1s2tzORHOiMpjlXqmUzVQuDa39NRm9e+Nenkye9WptSeJSMSArb/hupT0iyG+azdaevgAjCUVcKjKIfNJcJUJwn+UAQOb2hy5nDFHDoi0/qc8AXpwN/prnLLzRm/tyTmXER3AE9tpXrZ+GPiItRwrHy24EmUX0yk7OIC9GJsrKWmMeu+Q8cz/3Mv8L1ecJ/bhB+FPocXTLfTBUaRwHdnhcyhfKEIlHJW9NjYq+qPw6qcAbx5T1ojqFBvK77ufxw399xHxzhvfErcSDjDAOu+Tc1TDr08+X4uAhx5nf4by6dJTlAgTOlcGKXT7olNxeQTi14JjtBxTyHcgTCcvlBWRpQB2pkaHPNT3b1CC2z7FaCvFr1JcnzQjXkTx5N56lZQHW0k+fhvnVkjXOA6uulUS1SrKIV+pz+mmUwH38HtF9HBbe1xIBjhsGamBTMtOhjU8oyNpvb3OqCUsVhQIy7KLRmMvhrDxAj5UPK4vGT0O/2oigymLHDLRBa4hBA4fBILXKUOqF9J9bSsjF4Hoxt9Rk2SDi4AmBromGbbXwFCEAhH0O/0YUZ59Ps70Eqv4VkymOKpNakTPydSitxdj1Pd7qrbYjfxmyP5KHAr9CqcP6cCr7T2CxotSub8b9Lx4w+fACEEG9utOHd2RaJPQM9OuqmRbjM3BXKWwRVLa7DpkE2SsaNYNrXbMLdKj5kV0k2wUnFWUzm0Shm2dghICZQ64JOPU5+ZS+6jk4NxJp9bO4agU8qwqklYRlCMlArcM4FFV9MO675n6MhCHDqVHJUGFboz6eDu/xvg7KavneZkY3VNf4HLMAxqTOrYe2eCLfrcaqHjXn4z7Zr27518X+vzdGFWtSDj95bM8ptpp/XA36iZFE/b88DQYeCiHwsWQfxiItliOC0qPdzVK/F05BLsM18+pQvP6QavwRUyh/IFI6kdlCegUKrxfPnX6MjcjkcnP8BjBz74PfD7tVA8sR6flm1Gb81FwM1/k+YmufBqqil796HJC6menYB3mDp8FhlNU5RrEELQZfdiRnl2FzWZUKGnmxP2JDpcvhjMVge3yqDCkDtANZi8FnTJdaKmV/yhCLrsHsypMgg/oG4ldYwdnuywylNv1ghrcK1Rg6nalrTHMZEBpy9WuKajyqACy4xv5KZi58kRMAxwdnM5WJZBS4M54wK3tceBhXXGyZ1viaiVchzlGqEckZZ5GQxzCLhHoOHcqTu40RHlBA2uAGOBMCIckTaiDNAxZQD42C9o4RrFoFKk9hdZdhMwegro2YWeER8IAZorJhhMZbGDC1DTsoGJn5NYkXvneJE70dTR76Ib6os/AejHO5qtPU5U6JWi3L5zwTUtdehz+LC3W8CVWCrVi6lmf+djONY7hC67F5fFuyePWemmVRbMD69uqYc3GMHbh21Tfq14Rj1B7OocEde9lYhSzuK82RbhAjcFhBBs7RjCeXMqpnyuOJMo/SbOFC78Ph1PfPMeoOv9hLuayrXSuxZcBNj+a7ozPvfStA/nC8WUgvscUG1UwSZi0ZEMfsFSLWSOtfgT1Lyk9bnE2wf2A7YDuTOXSsUF36G6nu0PA7v+SLVwmx+gTpOLrhF8Cm+okdRoSgTO6HOleIOcCahjGtzJXQJvMAKtmPHkKBqlDHvkK2hxue1BqpuPhOnI8gufAR6aT7+/Mjm6z7kfZwcexal1v00wDBMFKwMu+DZgO0iN0OI5/CqNtZp7ibTXPAOo1KugVcoy7uAOjQXgC0XGF8h5xBI1fkqmw+XHsLOhwQVoB3doLEC7OOd+nRo6iRi5A4CTQx5wBJhblaKDC6QcU64zazDsDiAQnrDRZD1AXUarFok6lngGHP7Y6HE65DIW1UY1NQ9Kw85TdiyoMcIU3VhsaTThyMCYZAfjCEdwoM+J5Q1T098CgFrO4giZAfVoB+1aisTm8qMB0cV2ipFRo0YBhqGL/1Tw1xFJHVwAOOerwHV/Alo+nXCzQS0XdlHmWXQ1de/d/9eYgzIv20Lfbqop12d3pLMuGik1qePJMMDFPxkvcl//TmKR2/ZX6igejQaK3dzrQEuDGUyeNpYvXVwNlZzNjtkUQI0SvXb0b3kcDANcIqi/nXqBu3pmOWqMarzSlqXjjvLOkUFEOJKTAhegY8rdI150Dou/Tp0a9qB31Id180rjyfGUCtwzBZal4wtlzTTXNM6pTrR7aDyHXqLRDRd8R1THjs/snDTqm2NqjFPr4KbsPPOZuAcmZOK2PU81QUuuy/h9M4ZhgCseAuZ9DHj9u9R23tVH3RqT/DuZo7vrzolZuBLgi2O9sni6t0BcB1fQZCqS3kF5wmv5QhHg0v+iOprnPgU8vBh47kag6z26sPnK+8CXtuBg/Y1wQS88WSCGpdfTxdu2X413cQmh8UCzLqSROEUGwzCZnQuj8HniTRONkvIA38FN5qTc68hugVtlUMMf4jAWCAMVc4Fv7KHyGBEcGxwDIBARxFM+i7oxpylwAYEO6sB+Oq0gMQ7DH4rA7gmK7uACfBZu6hHlYJjD3u5RrJk57ua/rMGMMEfQ3i/NqOf4oBveYCQro6kqhQxHSCNkET80vhTGiRPod6TPwAWo9tSsUWAkzYgyP8JsFpuDy6OroOe0Cdc4oyZNB1dloFnfB/+FniHaRY9pcHv3ZH08GaCfk2CYg12o2E9W5BJCx5PrViYc05g/hBND7ryMJ/MY1ApctLAKrx0YQDiDHOVJNJ0LNK7BwlNP4awGPaoMcde4np10AzYDTf1EZCyDjy+rxZajg7GNlWywsd2KOpMaS+qnJhtIBl+kSuni8o9dX9LfJlAqcM8k1Kao6ZSfut9Gi7JmixZWl1+8FoHjgG0PARXz6bijCGwuP/QqOfQqaU6WU6XapMagK5CxPiQ2opysMF9+M3Uw7niD/j0SoqPb8z+WUSRRVpDJgev/RHVJR1+nHXZ+hEsAcxY6uI5ocaxTFGeBK+iiHJJW4GoUcvo65TOpxtnWDtQtp5b+3zoCXP4AHeFCnKY90w0jmQJYeyfQt4e6jgJ0nNPZTRd8RUrzFHLB+R31gtDgRjWPqUaUFTIGVYbs6Kwro68zNCbd7+CYzQ0ZyyTvfLNsWqMpvtPaN1GHa90vOfccGD/vi3FQ5hEcPZ3AgT4H/CEO58wavzbw7rf7JY4p82PN2Shu1AoWhzlaoOrdnaKfN+D0oz5NBi5PmU6J0TTXGP4aVCa1g5sEg1oOTzCSuvBquQnwO6A+9RYMajl9b9cA4OrN+ngyMJ6rnNSQjC9y1941XuSe+Df1TZjQvT3Q5wQh+dHfxnN1Sz2G3UG8P9H8KEOGl38V1dwgvlyxP/GOnl10oiOF07AUrllej1CE4I2DA1l5PW8wjG0dQ7h0cU3OOupNFh2aLVpJBe62jiHMqtCN5zuXAFAqcM88KucDn/wD1Y1GTaeaokL47hGRnYuON2kW2QXfEu2WS6N2pt+0ptqgRjDCpdX+JMPmCkCrlMGQrDDnM3H5MeVjb1EN4/JpMpdKhlJHtZmrPgdc/vOUD41pcKdS4MZGlIurwNWk0OB6g2FoFeI3dLRKWSxaCOu+C3yvB7j5BTolMOGCbnP5oZSzU1sILv8P6ka57UH698Mb6Djn/Csyf83TnCaLDj0jvoxySbvsXshZJmtd0alg1irBMhDuEoGOKNeaNFlze+YL5cEMDP2ODY6h2aKFSp5iM6ifoPgJAAAgAElEQVRuBWA9KOwQjwn5ojweO51eycRgKvo6UjTKtUbq5JxqM/WDk9Qd9uzm8QK32qhGjVEt2Um5rccBg0qOmVmYGFDLZThGGkDAQufpEv28AacfDcwwiEKXdkO3XKtMO6I83sHNVoFLX8cdSDGmPPNCQF+NudbX0GzR0cKkL6q/zVEHF0hjSMYwNI2AL3L//jlAWwEs+WTCw3gX7WX1Ux9TnwoXzq+EQSXPjpsygFe8S3GUa8AFg8+OTxiF/NT4awrxQBNZUm/EzApd1saUt3UMIxDmEmONcsD6eZXYccI+WZIhgD8UwY6T9tJ4sgClAvdMZMGVwPp7aMTPrj/GOg6itGeEAO8+SHdrl4iLgACiUTt5MEHg3zPTMWU+IijpbtzETNy25+iFaM7FmR5y9tBVAFf9hmZ0poBfBGRsMhX3XN30NujzDh8BlK0R5VgnmGFSGkdZoxtGU9ollquoa2XXdqBrB3BkAzDjPOma3jOIJosWwQgnOs80nk67Bw1lGshl+b9sylgG5brkWbg0Iih75+NYBzdJxzgVx2xuzE1mMMVTtwKIBIBBYZdf/jyf4KTMG0xlEhEU/feX2sENhLmUXcpdp0Ywt0oPiz5xs7el0YS23iQZ5klo63VgWaMpK5sUaoUMASjh0s2AztMp+nkDTh+a5cMpM3B5ynTKtBvNTh+vwc1Oh86ophekpE7KAJ14WnoDlvl2YaE5+m/Xu5vKjLIwCjuRWGZystxmnvgiN+Ck3hoTnO3behxosmhjLtX5Qq2Q4fIlNdjYbpWsJRdi46FBvKy7Hkr7Ydo0AICBNiASzIr+lodhGFzdUocdJ+2xqY2psKndCrNWgdUzczu9t25eJXyhCHZ3pjf2+rBzBP4Qh/WlAncS+b9Sl8gN6++mnZo378Fs+1YAEOekfHIzHWtcexe9MIjE5vRnrhecAvx7ZtJZAEQeN5+J+8HvgaNv0gB5MZEtBYKMZWBUy+EUkVGYDP652iLr4PIxQclycKW4KKsVMsFOsBBWp0A2cyasvI1uyLz+HVo8FPF4MjA1J+UuuxczCkB/y1OhVyUdUe5z+FBvzt64WmWsgyttkRgIR9Bp92BusoggnjRGU2qFDBV61YQC9wD9M6MClx9RFt/BrRMqsuMIRzjs7hzBmlmTF7/LGsw4NewRrQX0hyI4MjCGlobsjKaqos6qI/q5kkaU+x1+NMnsKfW3PGVaRdqYIH4SiDc+nCr85q0zzeZtaMmNUCCMS7nt9Ia+PbTzr8j+msWiU0IpY9OOswMYL3I/9yZds01gf9RgqhC4enkd3IEwNh8ZnNLrjHiC+LBzBIqWGwFjAzXMBKj+FshqBxegx00I8OoUu7ihCIe3D9tw0YLqnG9ynjPLAqWMFTWmvK1jCEoZK3jeKXZKBe6ZCssCn/gDULsMuhdvxb3qF9A9LGIHeduDgKFO0gguxxEMjgWmNSKIJysd3HS7+Hwm7nu/BbgQsPzTqR9fgJi1yql1cL0haBQyKGXFVeDKWAZKOQtvaHKHwBeKxDq8YqAjyuIKXDryn4Xvk1JLQ+FtB+nfF1w59dc8jeENZqQ6KRNCCiYDl8eiVwqaTIUiHGwuP+qz2ME1aRRQyljJHdyYg3IygymesmZAbU6pw603qxM1uNb9VD6is0g6JoAWqWVahaQJjJi2Mknh0t7vgicYwZqZk48npsPtEzemfGjAhTBHsqa95N3g+/XLoPHbAPsJUc8bcPpQS1Jn4PKU6ZQY9YRSjnCPeoMwqORQZKlAENXBBdCvnoPD3AysGN1EEyL69+VkPBkAWJbGF/aLTXdgGGq8NEGmMujyo9/pz7v+lufcWRZU6FVTHlN++7ANHAEuXtIAnPd1oPt9oHsnLXDLZiZEJGWD2ZV6LKk3TrnA3XVqBC5/GJcuzu14MkDjPc+eWYZtIgrcrR1DWD2zPLYZX2KcUoF7JqM20p3Bsz6Pz+Fl3HLk6zSaJBld71M31/P/c9KoTCqGPQGEOZKXEeUqgwqMyHzCiRBCMOgKiCsklt8MgADVSzPSfOUbs1YxRZOpUNZ0U6cbWqUM/iyNKIc5gmA4tRMlISQ2Op8Vzr6dGtDVtohaqJ7J1BjVUMpZyR1chzeEMX+4IByUeSw6laAG1+r0gyNAfVn2tMIMw8SigqRwbNANIEVE0Pgb0C5uGiflhOJyYH/GI6YDTr+k7i0w3sFNNt6+8xQ14FkjML64NBr1I1aHyz8u2x3cQ2UX0hsOvSTqeWMOO3RpMnB5yrVKBCOc4LQLj9MbisUnZQNjtBOc0kkZdPriX5G1sDj206i0oDsnBlM8tSZ1+hHlNPAj7S1ZiInKBnIZi48vq8W/jw7Cleb3nYpN7VbUmzXUhXjlrTRbe/vD1GAqi+PJ8VzTUo+2XidOSYjemcjGdivUChbrpsmpeN3cShyxjqVc2/Y7fOiwuUvjyUkoFbhnOgo18PGH8X+1P0Rj8Djw2AXUsU+IbQ/SccaVt0l6C1s0IijB7n2aUMhYWHSqjPQVI54gghFOnDnW4k8A+mpgzZfSP7YAMWkUace4UuHwhrI2Vna6oVXIsjKirInusKbr4rp8YfhDXPZG/tVG4D/+CVz7WHZe7zSGZRk0lUt3UuY7voXWwbULaHD7YhFB2T3WTArc47YxsAwwq1LExkDdCjpGHxI+l9eZNeMmT0EvdZ3NwEEZyEyjXKFXQSFjkmbh7jo1gpkVOsEseKNagdmVOrT2iNPhtvU4UG1UZW3TmI1OogzLKuE0zgfa0xe4/lAEOl90Q1xkBxdASh3uqDeY1Y1SQ7SD60rTwe2ye/By5HwQhgXe+hG9MUcdXEBgMyYD2nockLEMFtcVRoEL0HHfYJjDxoPio6bi8QTC2HZsGJcsqqb+EkodsObLNKXCM5j18WSej7fUgmGQcZYvIQSb2m1YP69S0qb2VFg/nxatqbq47x6j95UMpoQpFbhFwvCsa3B18KfgdBXA058ENv83HdXh6dsLnHiHjjNKzBSMZcnmoYNL31eV0YhyygzciahNwHc66I7jaYhZq5xSgev0ZXdhcjqhVsrgnaCd5TgSjQkSPxbEjzMLjTvHYxtLE12VCY1nA9WLsvd6pzGZZOHyjy+kDm6FXgV3IDzJ9IXXiGbTZArIrMDtsLnRbNGldlDmqVtB86Ft7cJ3mzXwBiP0PDZ4iPoiZDhNk0kHl2UZVBuFs3AjHMGuUyOC3VuelgYz2nodoiLt2nqdWddequQsAiEOQ5Xn0/HuNGPK1EE5fQYuT3nUOCqVDtfhC6EsSwZTAN04ANJ3cDvtXowpKmgGuKObdg3LZ2XtOCZSa1LD6vJn5NbO09brwPxqw7QVVGJY0WhGY7kmY1fibR1DCIa5xDHf1V8CFNE1Z446uLUmDVY3l+Pltr6MIiX39zphdflx6aKaHBydMPOrDag2qlLqcLd2DKHGqMa8dB4HRUqpwC0Smi1aHOfq0fmJV6kr8NafA898EnBHvzzvPkSLuLNvl/zaNimFYg6oMaozGlFOm4F7BmHWKOCYismULwSzJr9OjvlCSDsbiI4ZS9XgAuk7uLEM3Dx9n850mixadNo9khY6nXYPGAZoLM9/RBBPLAt3Qsesb5QvcLN7rFUGFQYljyiPpTeY4okZTe0VvtsUl4U70EZvzGBE2RsMw+kLoTaDDYA6k0Yw3/SI1QWXP5zSXbWl0YyhsUDazVinN4RTw56say/VChkC4QiGKs+jN6QZUx5w+OIK3NQZuABQpqPFZqoObrYngfQiNbhddg+aLFowy26iN9SfldYVeirUmjWIcCSj3GiAdgzbehwFo7/l4V2J3zs+nNHPtumQjboQx8VoQVtOi1xDLVC1MItHm8jVy+twcsiD9n6X5OdubLdCxjK4aGF29cGpYBgG6+ZWYvvxYcGc53CEw7vHhrF+XmXOMnlPd0oFbpHAdx66XACu/T1w9SNA9wfAY2uB3X+mESJrvkLHGSVic/nBMkCFPj8FUJVRndGIsi3qvFwMhYRZS0eUuQx3lB3eItbgKuSTilJvNM9W2ohytIObrsDN84bRmU6zRQt/iJNUrHXZvagzacR1IqeJimgUzUQn5X6nDxV6ZcxYKFtUGlQY8QQRElhsCUEdlL3pI4J4TA1UItPfKng3X7D3O/zUQVltykhTHsvAldjBBYBas1ow33TXKZp/u2ZWcsMrvlhJp8Pljaiy3cFVK1j4QxwC6kpa4KUZU+6PZuByCm3aDFwAsc5syg6uN5jVDq5CxkKjkMGVZjqp0+6lDuoLPw7oqoDZH83aMQiRTq+djk67Fy5/uGD0t/Fcs7weHAFe2y+tixuKcHgnmQvxRfcC39hLYxlzxBVLaiFnmYzMpjYdsmHNzPKsxVuJZf38Sjh9IcGIsbZeB8b84dJ4cgpKBW6R0BSfhcswwMrPALe/TTUQG+4ElHpgzR0ZvbbV6UelQZW3fMgaoxqj3pDkfDar0w+GGY/AOJMxaRTgCDAWSL3TLQQhBA5fds1BTic0AiPKfJEq1WQKQNqoIFu0g1slRhteQjL8Zl+nBMORzmgHqJCwRDcUJzop9476UJ/l7i0wfp4Ucm4WonPYiwhHxHdw0xhNjRe4PjpiW7Msoy5cJhm4PLUmDWwu/6SNwp0nR9BQpkn5e19Ya4BCxqTV4fIF8NIsFzdquWz8Grn4Wvo7HDmZ9PGxDq6pUdTvuTw6UTDqES42OY7QSaAsX0eMGnnKDi7HEXSPeKmDulIH3HUQOOcrWT2GicSycDPU4cZMxgqsgwsA86oNWFBjkDym/MFJO1z+MC4TciFmWcnSOKmU6ZRYP68Sr7T1S9roPzHkxvFBNy5bPH3jyTxr51SAZSA4prz16BBYhj6mhDClArdIsOiU0KvkidqzmqXAl7YAZ30BuOxnonZphciq42sG8O8tdWTG5vJHjUPO/K8Bv/MoNocxHn+IQzDMFe2IskYhgy+YuIDii1RJHVyF+A5umVaR9Q5cCQofFSRFh9tt9xaU/hYY7+AOTzCa6nP4sj6eDIybCIo9z3bYxgBAfAcXoAXu0GFqIjUBi04JpZzFwOgY1elm6qDMd3Az+B3VmdUIRUhCkU8Iwa7OEcF4oHhUchkW1hrTdnBbe5yYVanLuqkfHVGOdt8XXUP/TNHF7Xf60SQbBluWfjwZoHpYlknewR3zh8ERZL0LZlArMBZIfl2zuvwIhrnx769cldPxZGBc/54sMzkdbb0OaBSy9O7jeeLq5XXY2+1Az4j4c+imdhs0ClleO45XL6/DgNOPDztHRD9nYzs11LpkUe7jgSZi1irR0mgWNJra2jGEFTPKirbxIIYzf2VfAgCd5+e1ZwmojcDHfw2s+mzGr521zM4Mqc4wCzffhfl0Yo4ulhw+6Tpc/jlFO6KsnOyizI8sS9HgakRqcPP9fTrTqTOrIWcZdI2I6+C6/CHYPcGCclAGxju48U7KhBD0O3LbwR10iStwjw26xTso89StoOZR1gOT7mJZBnUmNcKDx4CwP2ODqX6nDwyDjL5jfGcuPuP0+KAbI55gSoMpnpYGMw70OZN2kAghaOt1YHmWx5MBajIV6+CaZwD1q1LqcAecPtQzw6LHwFmWQZlWmVSDG7uOZLlwN6jlcPmSd3Dz4YBu0iigUcim1MFdWm/K21RcOq5aVgcAoru4HEew6ZAV6+ZV5HXj9uKF1dAoZJK6z5vabVjWYMrJpqEY1s+rRFuvA6Nx36sRTxD7+5zTFll0ulKY354SOaE5A/dQMVid/rw5KAPjHVypRlNWZ/EUEnxxmkkWLv+cbC9MThc0Stmk8ffMRpSjMUFpXJStrvx+n8505DIWjeVadIo8F3YXoIMyQD9PGoUsQYM74gnCH+KymoHLUxUtcIdEjigfHxxDk0UnbUEbM5pKPqasHz1E/5JhRNCAg07uKOXSlz/8WHN8xukHMf2tiAK30Qx3IIyTw27B+60uP4bGAliWA+2lWjHhPLboWmrWNXJK8PHOUTsMRFwGLo9Zq0jawR2NXkd4M6psYVQrUrooxxzQK6bv+8swDGrNwo7b6QhFOBzsd+XkM5AtGsu1WNVUJjp2p63XAZsrkJcx33h0KjkuXlSN1w4MpM2jB+gasbXHkdfjXj+vEoQA7x4fjt327rEhEDIeJVRCmFKBW0Q0WbToGfEKOrJlii8YgcsfzmuhyBe4Uo2maKesOHSOplgHN/MCt2hzcIU6uCHeZEp8TJBWrMmUM4DqPGRKFxMzJGTh8h2gQtPgAtEs3Lid/f4pjN+mgx+JFj+i7MYcqSOWxlpAX5OywK30dAAyFVAxT9prR+l3+jLS3/LvDyRqK3eetKPGqMaM8vSfD940KJkON5faS95kKgY/ppyki8u6euj/SChwy3UpOrjRwteUZamLQS1PmYPbafdAKWOnfVqrzqRJmpmciqPWMQTDXEHqb+O5ZnkdjtrGcMSa3pV40yEbdSFeMP1jvhO5pqUODm8I248nj9/heeuwDQCEdcPTxLIGM8xaRcKY8taOIZi1CiytL9xNkEKgVOAWEU0WLcIcmXIAeTz8WHA+C1yjRg61gpXUwfWHIhj1hopmRJnXaTgziApyRkfLilXroVHI4AtFEmJl+CJVigaX72SlGlEORTjYPYGiiK7KJ80WLbqGvaKigsYzcAuvwK3QqxL0oH0Oeqy5GFFWylmUaRUYHEt/nh0c86Nz2IP51RL0tzxpjKaaQ8fBVS0EZJmdj2gGbmbfrzKtAio5G+vMERLNv51VLiqqY1alHnqVPKkOt7XHCYWMwcJa6WkG6VApZPCH4849ZU1A3UpBHa47EEZZkGoPpRS4ZVpl0imh2CRQlq8jhnQd3GEvGss1kLHTG6VSa8qsg9vWSz8bywu8wL1iaS0UMgY3PrYD33qhFW8etCa9tm1st+KcWeUFsYZYN68SZVoFvvbsPnzlmT14ubUPriSfn03tVsyq0GF2Zf600DKWwdo5FdjaMQRCCDiOYFvHMC6YWzntn+nTjVKBW0TE3ENFdi7EkO8MXICOA1Ub1ZI0uLyOrFgKiVgHdyojytNskV8oaJRyEIKE7kcmGlwxObhDYwEQUooIyjVNFh3GAuGUmZ08ncMeVBlUkrr100WFXplgMtUX7RjlosAFqA5XTAf30X8fBwBcv6pB+pvUrQCGO4DA2OS7jCosYrrgLV8k/XVBC9IBhy+mpZUKwzCoM2tiGtxOuxeDY4GU+bfxyFgGS+tN2N8rXODu73VgYa0xJzpFlZxFIDRhemvxtcBA66QxZakZuDxiOrjZjAkC6AZ3qg5uF++gPM3UmjUYHAuIjtXiaetxoFynREMOZAbZpEKvwnNfPAeXLKrBO0cG8eVn9mDFTzfhjqd34197e2OGlscHx3ByyJP38WQepZzFs7efg+tW1WN31yi++ddWrPrpW7j1yV14bmd37Pzm9Iaw44Qdly6uyXvO7Pp5lRgaC+DwwBgOW10YdgewvhQPlJbCu2KXyBnNsQLXiwvmZuc1YwWuKb+jvtUSs3CLLWtUJZdBq5TBmcmIsq+4Nbjx8T6aCVE/UjS4ChkLhYyZFDkUj7VAvk9nOs0VfGyaFxZ96t91lz0/C2QxWHQq7I/LSOwb9UGrlOXMEK7SoEqbH9wz4sVzu7px49mNaM5E91i3AgCh+tDmtQl3zVQ6UMa40alfgEx6KmOBMDzBSMzlNhNqjOqYBnfnSTsApHVQjqel0Yw/bT+JQDiSkKvMcQT7e524dkVdxseWCuqiHEFCX2PRNcBbPwYOvQysvTN2M83AHUJEroFMK/5nK9MpMeoNghAyqSjgNbhGdXaXnUa1AsEwB38oMmljgBCCLrsH56bIJ84VtSY1CKFrpIYy8dMfbT1OLGsw5b2oEsPZzeU4u7kcoQiHXadGsLHdik3tNmxst0HOMjh3tiX2Gc+HC3EyFtUZ8V/XLsX9Vy/Bvh4HNrZbsbHdiu+/eAA/eOkAVs0oQ0OZBmGO4NI8jifz8M7T244NgYtOHa2bW4oHSkepg1tEVBlUUCtYdEnIf0wHPxacb7OmGqMaNpHunkB8YV4cBS5AC9RMNbgKGSNpHPdMQhPTzo53CTIZUQb4yKHkBa6tQL5PZzr8NEu3CCflrpHCy8Dlsehpx4x35e1zeFFn1uRscVxlUKft4P7m7WNgGAb/+dEMd1FTGE01Bk8AALqVszN6aT4iKNMOLoCoeRB9nZ2nRlChV2G2BKfolgYTQhGCwwOJHeqTw264A2G05MBBGeBzcCd0E8ua6e97gg6XdnCHwRnFZeDGXk6rQChC4BbIW3f6QjCq5Vl3BuYLZqEs3CF3AN5gJLahNZ3EDMkkSKfcgTA6Bsdy9hnIFQoZi/PnVOD+a5bg/Xs+ihe/eh5uv2AWekd9ePuwDStmmKf0ncsVLMtgVVMZvn/FQmz5zoV4884L8M2L5sITjOCl1n7UmdQ5cTSXSrVRjQU1Bmw9OoRtHUNYWGtEVWmNkJZSB7eIYFkGTeU60e6hYrC6/NApZTCo89vdqzGpYW33C+4cC2ErAO3wdGNKoY9KhdMXhEmjPC12lHOBRkA7yxe4arnEAlcpSyiUJ1JskwX5oqFMA5YBOodTnwu9wTBsrkBmnchpwKJXIcwRuPwhmLVK9Dv8ORtPBsY7uMnOs8dsY3hxXy++sHZm5puH+krA1ChY4Fa4j4IjDI6QGViXwUv3RzWRU+ng1pk0sLn8CEe7VmtmitPf8vDmQW09jgSdJW88lSvtJTWZEthcW3Qt8Pa9wGgnLXhBi7IlzBBk5dI2Kfjx41FPaNKaYNQbzInMhX+fMX8oFmXF05VHB3TekExKFu7BPicIKXz9bSpYlsGKGWVYMaMMd18+HyeGPDBqCr/UYBgGC2qMWFBjxJ0Xz0PPiBcsy4AtEJ3r+vmVeHI7lRJ8Ye2sPB/N6UGpg1tkNFnEu4eKwebyF4SOtdqoRjDMiS7grE4/NApZ1selChmzRhEzjJKC0xcq2gxcQNj9mI7DsZIvflqlHL6JXZQ4rC4/lDIW5bri1DtPFyq5DLUmTdpzYfcIXSCLccjNBxXRLFxeh9vn8OUkIoinyqBCMMwl1Tw+tKkDWqUcX7lwztTeqG65YIGrHDqIbqYG3e7MFp3Z6uByBNjX40Cfwydafxt7vkmNSoMqZibEs7/XAb1Kjlk5MrRRyWUIcwSRiRm8i6+lfx56OXbTgNOHRnYYbJl4/S2A2HlrRMDM0OENoSwH1xFD9Bou9JnsjE6rNeXh+5tJB5fXZhdyRJAUGIbBnCo9qk7DVIDGcm1ONwulsn5uJUIRglCEYN280niyGEoFbpHRZNGie8SbNGheKlanvyC6TbEsXJE6XD5rtJi6kmatImOTqWLV3wKYpLsFaGcvE9MhOqKcvINrc/pRZVQV1ecyXzRXpM/C5Tu8harB5aN77O4AfMEIRjzBnHdwAeGooLYeB95st+L2C2ZOfYOmbgUwchLwjSbePrAfXco5GcWvALRwY5nxTN+MDi1aHL+4rw+AuPzbeBiGQUuDeZKTcluPA0vqjTlzRlUr6HJv0v5aWTNQuzzBTdkxaocJ0jJwAarBBSCYhevwhWDKQQfXqBnv4E6ky+6FjGVyuumTDINaAYNKnpCZnI62HicayjRpfQFKFB+rmsugVVIvlbOapJ1zipVSgVtkNFl0CIQ52EREPYjB5goUxJgvb8ojtsC1ufxTWuScjpi1mWtwi7uDSwvZiSPKUhyUx19rcqZuPFaXvyC+T8VAk0WXtoPL3z+jgDW4AO3g9kUX0tNR4ApFBT246SjKdUrcfkEWxud4He5A2/htvlHA2Y1h/XxJY5/x9Dvo92sqOtDa6Hjza/sHYNYqMK9KehRSS4MJJ4Y8sXiSQDiCQwOunGaf8gZMQaEBksXXAv17gdEuAAAZ7aa3mxolvUd5bERZqIMbzGkHV0iD2zXiRUOZBoos637FUmtWxxy3xdDa4yj4/NsS+UEll+FTZzfiprNnQCkvlW5iKP2WioyYk3Ia7ZkYOI7QEeUCWJDzx2ATeTHhO7jFhEmjhNMbEpX9GY/TF4JJU7wjs3whG1+Y+oKRjEy3NGkK3EFXoCAmIoqBZosWo95QSmfxTrsX5TplLGar0LDooh1cTyBW4NblsMCtStLB3XHCjnePDeOrF86GXpUF2Uftcvpn/Jiy9QAAwFO2KPazSmXA6cs4Azd2aNEOrtMXwtnN5Rlp9Pgi5kDUAfvwwBhCEZJTQ5tYBzcicP5fND6mTAiB0t1L/y4hIggY1+AKRQXlahKI1+C6BL7HXXZPXvS3PLUmjegs3GE3/Q4XgqlRicLk3qsW48dXZRaRVoyUCtwig3cDzYYOd8QbRJgjqDHmvxPKazzEdHAJIbAVYSFh1ioQjHAJo7ZicHiDRd7BneyiHB8ZJAWNQiZs9AL6uSx1cKePmJNyijHl7gJ2UAaoay3D0A4u39XM5ThmZfQ8G1/gEkLwq41HUGNU45ZzpBVESdGW09HZ+AJ3YD99v5plGPOHY91PKQw4/aid4gaAUS2HLvrdXyNRf8vDayx5HS6vvcxl946PaxG0ACifCdS2AIdegssXRkVkkN4ucUTZoJZDxjKTRpQjUSO0nIwoJ+ngEkJwatiD5jx+f+vM6pjuOx3T8RkoUaKYKBW4RUadWQOFjMmKkzIfEVQInVClnIVFpxSVhTvqDSEY5oqukOB3z6XocINhDp5gpKTBBRIK01yMKI8FwvAGI6UM3GliPBc8+WZf53DhZuACgFzGokyrhN0dQN+oDzKWQXUOpRdGtRxKOZtQ4L5zeBB7ux345sVzJ+WQTom6FZM7uIZalFfVA4DowoGHEIJ+hw91U7xeMQwTK5LPyTBf1axVYmaFLqbDbe1xoEKvmnJ3ORV8Bzco1MEFaBe3bw8Ge4/RDFyZGtBJM7NhWQZlWgVGPInXGJcvBEKQkxFlnVIOhpmswXV4Qxjzh0GbiB8AACAASURBVPPewbV7gkk3NeNp7XGCZYAl9cZpOLISJc58SgVukSFjGTSWZ8dJudCidqpFZuEWUmE+nfBdWCkFLj++WergZmtEWZ60wC1l4E4vvDNysnNhIBxBv9NXsA7KPBadEvZoB7dmivrSdDAMg0o9jQoCqEzlwU1H0WzR4vpVDdl9s7oVgKMb8Njp3637gZqlGcWvAHRjMxDmspLHWWtSw6CSY2Ft5sXIsgYT2qLRQDQyyJRTczlVKg0uEHNT5g6+hAZmCEFDg6QMXJ4yrRKOCR1cvqObi+sIyzLQq+STXJT5jat8OCjz8BsWm48Mpn1sW48D86oNGZkXlihRYjKlArcIaSrXxvLhpkIss7NACsUakzpWvKaCN9gqtkKCd5t0SIgK4mOFjEXcweWzbr3B3LoolzJwpxeNUoZqoyrpNEvPiA+EULflQqZCr4LdE0CvwzctsRZVRlWsg/vq/n4csY7hrkvmZd/IJ2Y0tQ8I+YGho0DNstjP2C9S28jT3k+LybnVU4/h+dK6WfjJ1Yun5Hjc0mCG1eXH8UE3Tgx50JJj7SV/HkvaTCyfBdQsg7LjFTTJhqG0NGf0PmU65SQNriO2UZobLwejWjFpZJ1f4+Tz+/vRBVWYW6XHV57di++/eADugPC5nxCCtl5Hzj8DJUoUE6UCtwjh3UOlmg1NxOb0g2WAygKxtKcdXBEFbrF2cKNGUU4JHVy+25urhcnpAMsyUCvYBO2yP8RlNI6pVcrgC0UEv3vFOlmQT1I5KfO353PEUQwWvTKmwa0z5/6zU6mnBW4owuHXb3VgQY0BVy2ry/4b1bbQP/v3AYOHABIBapeh0qCCnGUkd3D3djnAMMDyLGgcL5hbieum2LHmtZbPfNCV8PdcMR4TlPy675h5JWb6D2Mu0w+ZxAxcnjKtYpIGl7/m5ErqYlDL4fIlFo9ddi8YBmgoy1+Ba9Gr8Oo31uKOdbPw/K5ufOy32/DBSfukx/WM+ODwhkr62xIlskipwC1Cmi1aeIIRDLvFd/KEsLr8qNCrcjoSJ4Uaoxp2TxCBcGq9C98pK8aYIAApXWMn4sjxwuR0QauUT4gJCmfsoswRIBCePCdYaCP/xUCzJXkWLn97IWtwAdrBHXT5YXX6pyXvs8qowuCYH3/f3YsuuxffvWx+Rk7CaVGbAMscoL+VjicDQM1SyFgGNSa15Czcvd2jmFdliLnu5pvFdUbIWQb/3EMdi3njqVzBm0ylMHHHs2O0a64gAckGUzzlOuUkDS5f8JblqoOrUUzS4HbZPagzabKrC88AtUKG712xEH+/41ywDINP//ED/HTDoQRdbmvUYCrXn4ESJYqJwqhMSkwrTRV0wTZVHa61QDJweXhznsE0Olyby48KvTJv2Xj5IqbBlVLgljS4AOhosXdCDm4mBS7/HJ/AKtPq8sOkUeR9QVZMNFl0GBoLJDhk83TbPTCo5TkxxskmFp0SnmAEYY7kNCKIp1Kvxqg3hN++04FVTWX46IKq3L0ZbzRlPQCojIC5md5s0kiKCuI4gn3do1jZVDgdMrVChvk1BowFwmi2aHM+JRMzmUqiwXUHwnjsANCjmkNvyLDA5TW48VMq45NAufkuGdXySS7KnfbCckA/q7kcb3zzAnzmnCb8afspXPG7d9EaNRlr63FAJWcxv0Z6pnKJEiWEKa4VfgkA8e6hU9Ph2pyFFWkSy8JNM6ZsLbDjni40ChmUMlaSyRRvFmIu4hxcgHZefSG6gIpwBIEwl3FMEAB4BYRwxRhdlW/4c6GQJ0GnnToo59L4JxtY4iQi06XBBejn9buXzc/t76duBeDqA46/A1QvAVi6ZKkzqyWNKJ8cdsPlD2PFjLJcHWlG8COp0zGaym+cCebgAvj77h6MBcKQLfkEvUFiBi5PuU6JMEcwFqc3dXiDYBiqlc0FhiQa3EKTF2iVctx/zRI884U18AcjuO737+OhTUexp2sUS+pNRbfpXqJELil9m4qQerMGMpZB9xQ7uLYxf0FFmvBFa7osXGuRFhIMw8CkVcSMo8Tg9IXAMFTjVMzEx/vwo2WZxARpUnRwbS4/qkv622klVS54l92DGQXUAUqGRT+++dQwDSPKvOfCBXMrMo7JEQ1vNDV6CqhdNn6zWQOr049ICj1pPHu7aKdsZYEVuMujpkLTYS6kTuGiHOEI/vxeJ1bOMKPukm8Al/33+O9eIvwY8mic0ZTDF4JJo8jNKDsmd3Bd/hDsnmBBdXDjWTu3Am/etQ6fXFGP//n3cbT2lAymSpTINqUCtwhRylnUmdVT6uD6QxE4vKGCKhRrYh3c9CPKxVpImDUKyTFBuVyYnC5Q92NalPKFbmYjynSjQHBE2elHjbFwNoyKAb6AnXguDEU49I760FygC+R4KuI6uNMxoryk3oQFNQZ872MLc/5eqFkGgIn7f0qdWYMwRxLyeFOxt3sUJo0CsyoKq6N3wbwKLKw14iO5HPOOopInN5l6+7AN3SNefGHtLKp9PversW65VMp0tEsb76Q86g3l1MfBoKYaXH4sujumny/c769RrcCvbmjBE7eehUW1RlyxtCbfh1SixBlFcbdlipjmFO6hYihEQxyzVgGlnE05ohwIRzDiCRZUYT6dmLXSClxHjhcmpwtapQz26IKNL041GcQEjWfqJurFwhEOw+7inCzIJ0a1AhadctK5sN/hQ5gjBTfiKERFtINbplVMS4ZmjUmNN+9cl/P3AQCo9EDlfGDoCFCzNHYzP4rd5/CJch3f2z2KFTPMBbdRV2vS4I1vXjAt7zU+ojz5vj9tP4V6swaXLa6e8vvEOrhxTsoObzCnGmODWg6OAJ5gBHqVPCY5OB2+vxcvqsbFi6b+ey9RokQipQ5ukdKUwj1UDIUYacIwDGqMqbNweQOqYi0kTBqlZJMpUxFHBPFo4kaUvVEtbiYdXHUSDe6QOwCOoGgnC/JJk0WLzuHEc+Hp4qAMjGtwp6N7mxfqVgIyJVC5YPym6M86ICIL1+UP4digu+DGk6cbGctAIWMmuSgf7HNi16kRfPa85qwkIpTr6PUi3knZ4Q3l1KiQz2nnnZQ7YxFfhdvBLVGiRG4pFbhFSrNFB6cvFDMRkgqvcy20QrHGqE6pwY11nou0kDBrFXBK+Dd3eoOlDi4AjWI8JijWwc0wBxcA/BNWmbENowL7PhUDzRYdukcSC1zen6CQRxx5dEoZVHJ2Wgym8sKF9wCffh6Qj2+08Xm/YoymWrsdIKTw9Lf5QC2XIThhRPnJ7aegU8rwqdWNWXmPsmiBG7+2cPiCOYsIAsY9IngdbpfdgyqDalomGkqUKFGYlArcIqVpik7KhVooVpvUKUeUC7Uwny7MGoXkDm6xRwQBtDD1hSYUuFOICfJOKHALceS/WGiy6NDv9CXkUnbavdAoZKg8DbKyGYbBFUtrcdHC3Os480JZEzDn4oSbDGoFDGq5qCzcvd2jYBigpbGUMapSsAjFmUwNuvx4dX8/bjirMWsOxwaVHHKWSdDgOrzUyyFX8NnGLh/fwfWeFtMXJUqUyB15KXAZhilnGOYthmGORf+ctLXKMMxyhmF2MAzTzjDMfoZhPpWPYz1TSeUeKgarMwCNQgaDqrB2SGuMKlid/oQMvnj4Tll1kZr5mLUKeIMRBMICQiwBShpcCnVRpt2BqZhM8UXxxBHl8c9lqcCdbposWhAC9I6Ob/Z1RTM0Cz0iiOfhTy3Hp87OLLf0dEVsFu7ebgfmVxtiRVAxo5LLEjS4/7ejC2GO4HPnN2ftPRiGgVmrjGlwwxEOY/5wTju4RoEO7unggF6iRIncka8O7j0A3iGEzAXwTvTvE/ECuJUQshjA5QB+wzBMyUc9S8wo5wvczDu4NSZ1wS0Aq41qBMIcnEm6lDaXHyo5m9Pd5EKG/7mT/X7iiXAELn9ud95PF9QKGfwhDhxHYsVpRgWugo8JSjSZso0FoJAxsOhKeufpht/si9fhdtq9Jf1egSMmC5fjCPZ1jxZc/m2+UCvY2IiyPxTBszu7cMnC6qybMZXrFLEOLn+tyeUkUKyD6w/BF4zA5gqcFvKCEiVK5I58FbjXAHgq+v9PAbh24gMIIR2EkGPR/+8HMAigctqO8AxHrZCh1qSOmTFIxebyF2QXtDpNVJDVFSjIwny64A2jXCIKXBq7gJLJFMaLWV8oEtPPqjPS4PIxQYlhlDanH1UGdcG5vBYDzTG5Bj0XcoSguzTiWPDUmTVpC9wTQ26M+cNYOaO0Nw7QcxavjvjX3j6MekP4/NqZWX+fMq0So1GTqVFv7gtco4aeV13+cExPfzo4KJcoUSJ35KvArSaEDET/3wogpUc6wzCrASgBnMj1gRUTTRZtxh1cq8tfkDpW3tU5mdGUzekv6jFQftxYTFQQ/5jSiHJigcuPKmdiYCJjGSjlbMyJmcdaoBtGxYBZq4BRPR4tMuonCEa40gK5wKkzazDqDQlmSvPs7R4FAKxsKnVwAZqFG+YICCF48r1TWFxnxJqZ5Vl/n3Ld+Iiy00f/zGVMEK8fHvOHYhtVpQ2qEiWKm5wJKBmGeRuAUHL1D+L/QgghDMMICybp69QCeBrAbYQQLsljvgTgSwBQXV2NLVu2ZHrYU8btduf1/aWgDAZwaDAs+XgJIbA6fAiapT831wx56Udk665W/P/27jw66jLP9/j7qUollQpJCohsggnYDlsSQghBQNs0Isz0TKPHYekW7VZH2nu9c/TenuYerx6nnW5t8Zy+i8PM2LbiKGqrrYxjdzPT7QJp2mUcNjeEFlrCJgkQqOyVVJLn/lFLUpAEyFbb53WOx6r6/ap+T8ivfqlvPc/3+7VfnhuYHaxp5nKvI+7GPVwO1gU/DP7+P3fRWNX32/8LX3DfI3/cR2XDASCxzu/BdOhYMNjfuu1dPq0OBqc7/uNd0p0XP+PqMp0cOHiYysqayGNfVDczcUTqnpexNjq9k90HjlJZeSoU6Bp8R/dT2fJFrIcmvag7Hnwf/usbv2P8iJ6/q9/8aStZLjj86XaOpOiqne5aGltobe/gH159mwMnWllTlM7vfve7wT9OXSs1vuDng90ngr+nP+79GPvlxa96uRDWWpwGPv3DFxw6GPw9H967i9oD+p2nolT9nCLRhizAtdYu7m2bMabGGDPeWns8FMCe6GW/HGAzcL+19j/6ONbPgJ8BlJWV2YqKigGNfSAqKyuJ5fEvxl7+yLbf7KNs/lWMuIhiUbWNrbT/9i3mFl5BxcLBX940EK3tHazd9hu84wuoqLgiapu1lrq3fkPxFflUVEyP0Qhja0ptM3/3/lYmXT6NijkT+975DyfgP7Zz9bxS5uQHv+VPpPN7MDV9fBw+2UVx6VwOf/wlZv8BrltU0a+l7jnvv83IS/KoqJgVeaxhy28o+sokKipmDuKo5UJtOr6bj4/6qKiooPK5N4E2rr92QfK23kkCnoOn+dnH7zNxahFXX9Fz9tLDu35H+ZRMvva18mEeXXzaWLWdP355iu0NOYzJrmftqkWkpw3+Qr7trfv4/bEv+OpXr+HU7mOw6yMWXzV/SAs/ed95k5FjxmGBUVnV/Pl1XxuyY0l8S9XPKRItVkuUfwl8J3T7O8DrZ+9gjEkHXgM2WmtfHcaxpYz+VlKO51Y7GWlORmWl97hEua4lQFt7Z0ovUc71hJcon78Xbrg4SG6mcnC72vu009LWQabL2e887sxuLYcguKyuqa0jLt9PqSJ/lIejZ1oIdHRyotmS7nTo9xHnztcLt64lwP4Tjep/243b5eBEcyfbPj/Jt+fnD0lwC8Ec3I5OS4O/PfK3JneI281lu9No8LcHKyiPUoEpkVQXqwB3HXCdMWY/sDh0H2NMmTHmqdA+K4GvArcaYz4M/VcSm+Emp64A9+LycOO1B27Y2Bw3NXXnBrjxHJgPl+yMNBzmwqooD0f1y0SR2T0HN9DRrwrKYZ50Z1TeYPj9NC5O30+pIH+0h45Oy7EzLdQ0dzJpVCZOFfyKa2Nz3BgDx3rphfvhER+g/Nvu3GlOWtqDubg3zcsfsuOMClWDP93chq85gNNhIq18hkq220W9P8Ch2mZVUBaRoVui3BdrbS1wbQ+P7wDuCN1+Hnh+mIeWUvLPqh56oarrghWK43UmdFxORo8zuKneAxfA4TDkZrouqsiU2gR1KzLV1hGcwR1IgOtKixSqgq7305js+Hw/pYKCvK5r4Ylmy59cqgI18c7ldDA2u/dWQbsOncFhYNYkVVAOy3AF5zRuLJ0YCUKHwsjQa59pbsPX0kZupmvIOxfkZKZxuqmNL30t5JeeJ/1GRJJerGZwJQ6MyEgjb0QGh05d3Axudb0fY2BMdnwGimNz3JFZse4iM89xGpgPF68nHd8FzOD6mgOMyEjD5dRlIty/trktWEXZ4+r/d4NuzeDGna5euE2caFYF5UTRVy/cXYfP8Cdjsy+qvkSyywxdt25fWDCkxxkVqph8pqmNM82BYVkFlJ3h4g/VDXRaKMjTDK5IqtMn1xRXMNpz0TO4J+r9jM7KiNvAZ2yOm1ONbQQ6ootux/vM83AJzuCePwc3/M27dFui3NZBS6AT94BmcKNzcLV0PvYuGZGBJ93JzsM+Wjv0ATlR9NYLt7PT8uERn5Ynn+WmeZNYU5TOFWOzh/Q4I0MB7ummNuqaA8PSai7bnUZre/Bvvr6gEpH4jFBk2OSPzrroHNzqej/jcuNz9ha6ZsJONLRGPV5d72d0VvqQFdZIFF6P68JycIfpm/dEEO552xLooKWtHY9rYDm4zWfN4Oa40wa07FkGxhhD/ugsfr//JKAPyIniUm8mX9b5sTa60+CBk400+NtVYOosXxmTzcJLh/6aPjIreIwzzW2caW6LBLxDKadbEK0euCKS2p/0hfzRHqrr/fi7zSidT3WdP65nm8Jjqz6r0FRNvT/lZ28BvBeag9uiADesq4pyB81tAysylXnWEuXqOr+WJ8eB/FGeyPsiX1VYE8IEbyZt7Z3UNkWvSNl16AwApZcp/zYWgqkthtNNAXzNgSGvoAzBGVwIFlIcqb9bIilPAW6KC+eeHT594bO48R4ohsd2dh6uAokgryf9gmZwfc1teNUiCAhWHTUGWsJtggYS4LrOncGN5/dTqsgPLUt2GLh0pPrfJoIJoT7FZy9T3nX4DCM9LibnaSYvFowxjPSk42tuG7a/IznuYFCbn+cZ8oJWIhL/FOCmuPBSnqpTF5aH6w90cKY5EN8zuLmawe1LTmawnUJHp+1zv7qWQNSyr1RmjIkEps2hPrj95Qn1wQ0vq6yuj+8VEakifC3MyzRxW19Aoo3P7bkX7q7DPmZfNlKBTgyNykqnpt5PU1vHsMyohmdwlV4gIqAAN+WFP9RdaB7uifpQoaY4ngkd6XGRnuaImsENL2NTIBFcomwtNPh7n8W11uJTDm6UcGDaMsA+uJmhfF5/oJP2jk5ONrRqZUEcCK9mGePRn8VEcWloBrd7L9y65gAHTjRqeXKMeT0uqkKfK4alinJoBlc9cEUEFOCmvFyPC6/HxcELrKRcnQCtdowxjD2rF+6JBvXADQt/2OgrD7eprYP2Tjss1S8TRTh3NrhEuf+tR7ryeds51dhGp4Uxcfx+ShXhL/vGejTrlyi8HheZLmfUDO7uI+H8WxWYiqVRWemR1CfvsBSZ0gyuiHRRgzih6NJcfveHk3R0WpyOvj/cJUpLk7HZ0b1wIz1wNVPWFeD2kYcbbiOkGdwumS4n9f522jo6BzaD262n7ulQcZx4fz+lgnE5bhZNG0NJVl2shyIXyBhzTi/cXYd9OAzMmqQZ3Fga6UmPpMEMx9+RaeNymJM/kvlTRg/5sUQk/mkGV1g97zKO+VrYsu/Eefc9kSgBbq6bmvquNkHhHrjxPu7hkBsq+NFXL9zw7G6uikxFZKancbopeB4NJAc3XKDKH+hImC+MUoHDYXj61rkUXaLvfRPJ2b1wdx8+w9RxOWRl6PcYS6Oyuv52DEeboFFZ6Wz6rwuYpAroIoICXAEWTx/L+Fw3G9+vOu++1XV+3C5HZDlQvBqX46a6W39EBRJdwt+m91VJObxNM7hdPC5nZMZ1IFWUu7cc6lpZoKXzIv0R7oUL0Nlp+fCwT/m3caB7UJurVBcRGWYKcIU0p4PV8y7j9/tP8ceTjX3uG674Gu/VKcfluGkJdFDvbweCS5TT0xwK2CCSV9tXDq4C3HN50p2RfpsD7YMLwQC3us5PmsOQl6UAV6Q/JngzOdnQSmt7B/tPNNLQ2q782zgwMsvV7bZWAonI8FKAKwCsmnsZLqfhufcP9blforTaCefahmfIqusSIzAfDrkXEOCGt6kPbhd3upOG0Bcmg5GD2xJop7rez5jsDBznyX0XkZ6N79YWbtfhUIGpfAW4sRaewU1zGLIGcL0UEekPBbgCwCXZGfx50Xg27TxKU2t7r/tV1/sToqVJeClyuBeueo12SXM6yM5Iw9fSRw5ui4pMnc3TLe/WPaA+uMHl/S1tncEvjBLg/SQSr7paBbWw69AZRmWlq1VMHAjn4Ho9Ln2xLCLDTgGuRNwyv4CG1nZe232sx+3WWmrqWxMiUIwEuKEZXAUS0XI9Lur6WqLcHCAjzTGgQC7ZdJ+19QxSm6DwygIR6Z8JoQD3S19wBnf2JK8CqjgQnsEdjhZBIiJnU4ArEaWXeSm8NIeN71dFijN1d6Y5QFt7Z0L07BwT6ndbEyo0VVPvZ2y28hzDvB7XedoEBTR7e5buvW8HIwe3JdBBTX1rQiz5F4lX4RVFn31Zzx9PNml5cpyIzOCqwJSIxIACXIkwxvDtKwv4vKaRDw6ePmd7eLlvIsw4uV1OvB4XNQ1+6lva8Qc6E2Jp9XDxZqb3WUXZ19Km/NuzdG8NNJAqyuHXOdXQSmNruwJckQFwu5zkjcjg3z89DsBsVVCOC550J+lOh2ZwRSQmFOBKlGUlE/B6XD22DKppCAW4CdLSJNgqqDWyTFmBRJfcTNd5++CqtUO07rO2A+qDG3ruwdpmIHHeTyLx6lKvm+N1fhwGZk1UgBsPjDFcOjKTCV793RWR4acAV6K4XU5Wlk3it3tqIjO2YTV1iRUojs1xU1Pv7+qBqxnciFyP67x9cHO1RDlKZlQObv8DXIfD4HY5qDrVBCTO+0kkXoXzcKeNyyErI757tKeS5/6qnL9ZMjXWwxCRFKQAV85x87x8Oq3l5x9EtwwKB4pjshPjA/m4HDfV9f5IYJ4IS6uHizfTha850GOuNYRycDWDGyVqBneAbS886WkcDAW4Oi9FBiYc4Jbma/Y2nkwc6dFKIBGJCQW4co7LRntYNHUMP//PI7S1d0Yer6n3kzcinfS0xDhtxua6OdXYylFfC9BVeEqCRabaOy1NbR09bve1tKnI1FnCS4udDkO6c2DvgUyXk8ZQOy6tLBAZmHAv3NLLVGBKREQU4Eovbpmfz6nG1kjhDggWmUqk5ZTjctxYC58eq2NUVjoZaWp5ExYuINVTHq4/0IE/0KniIGcJz9pmupwDbkMSfq1sd9qAWg6JCJRM8jIiI435l4+O9VBERCQOKMCVHn31iksoGO3hufe7lilXJ0gP3LBw8Z6PjvgSKjAfDuH8Wl8PvXDDublaWhYtHIgOdHly8LWCr5FI7yeReFVWMIpPHlzC+NzMWA9FRETigAJc6ZHDYbj5ynx2HDrDni/rgOAS5UTogRsWzhWubWpjrJYnRwnn1/ZUaCr8mJYoRwsHpQMpMBUWXu6sL15EBsdAV1WIiEjyUIArvVoxZxKZLifPvX+I1vYOTje1JdSMU/fcxkQa93AILz/uaQY3/Jj64EbrvkR5oMJBsgJcERERkcGlAFd6letxccPsCfzrh8fYX9MIJFbPzlGedFzO4Lf6CiSihWdnfS3n5uCG83I1gxstHNgOxhLl8Gsk0vtJREREJBEowJU+3XJlAf5AJ/+w5QCQWIGiw2Eiy5RVqTZaOL+2xxlc5eD2aHCXKAfzebWyQERERGRwKcCVPs2YkMPcgpH8Zk81kHiBYni8CiSiuV1O3C4H9T3l4DYrB7cnXUuUB171WEuURURERIaGAlw5r2/PL4jcTrRAMTxeBRLn8mam9zKD24bTYRiRofY13aU7HTgdZlBmcCNVlBPsCyMRERGReKcAV85r6cxxXJKdQUaaI+GWrYYDWwUS5/J6XL3k4AbwZrpUlfQsxhgyXc5BKTLldqlNkIiIiMhQ0BSNnFd6moO1S6fy0RFfwgU9104fQ02Dn5FabnuOnExXrzm4ifZFxnC5sfRS5k8ZPeDXWXD5aA6caCRvhIpMiYiIiAwmBbhyQVaWTWJl2aRYD+OiLfxKHgu/khfrYcQlb6aLw6ebz3m8rjlArr4Q6NEPry8clNeZN2U08wYhUBYRERGRaFqiLJKivJ7eZnDb8GoGV0REREQSkAJckRTl9aT3noPrSY/BiEREREREBkYBrkiKys104Q904g90RD1e16wcXBERERFJTApwRVJUuM9tXbdeuO0dnTS0tqsHroiIiIgkJAW4IinKmxlchtw9D7fe3x7apgBXRERERBKPAlyRFBWepfU1d+Xhhm8rB1dEREREEpECXJEUFc6z9XVbohy+rTZBIiIiIpKIFOCKpKiecnDrQsuVtURZRERERBKRAlyRFBVehlzX3H0GV0uURURERCRxKcAVSVFZ6U7SHCaqF65PM7giIiIiksAU4IqkKGMMuZmuqCrK4ds5CnBFREREJAEpwBVJYbkeV1SRqbqWANnuNJwOE8NRiYiIiIj0T0wCXGPMKGPMm8aY/aH/j+xj3xxjzFFjzD8M5xhFUoE30xWdg9vcFik+JSIiIiKSaGI1g3sv8La19grg7dD93vwI2DYsoxJJMV5PenQObksAb6YKTImIiIhIYopVgHs98Gzo9rPADT3tZIyZA4wF3himcYmkFG8PObiawRURERGR02HKXgAAFMZJREFURBWrAHestfZ46HY1wSA2ijHGAfxv4PvDOTCRVJLriV6iXNcSIFcFpkREREQkQaUN1QsbY94CxvWw6f7ud6y11hhje9jvLuDfrLVHjem74I0x5rvAdwHGjh1LZWVlv8Y8GBobG2N6fJGL4atpo6G1nbe2bCXNYThZ10RzZmuv57DOb0l2Osclmen8lmSnc1xgCANca+3i3rYZY2qMMeOttceNMeOBEz3sNh+42hhzFzACSDfGNFprz8nXtdb+DPgZQFlZma2oqBiUn6E/KisrieXxRS7GofQqXjuwh9nlCxjpSaf5t//GjK8UUFExtcf9dX5LstM5LslM57ckO53jAkMY4J7HL4HvAOtC/3/97B2stavDt40xtwJlPQW3ItJ/4XzbupYArjQHnRbl4IqIiIhIwopVDu464DpjzH5gceg+xpgyY8xTMRqTSMoJ59v6WgKRXFzl4IqIiIhIoorJDK61tha4tofHdwB39PD4M8AzQz4wkRTj9QRbAtU1B3A5HFGPiYiIiIgkmlgtURaROOCNzOC2keYMFnPTEmURERERSVQKcEVSWGSJcnOAtNAMrpYoi4iIiEiiUoArksJyuge4ztASZQW4IiIiIpKgFOCKpDCnw5DjTgtWUQ4tUc5RgCsiIiIxEggEOHr0KH6//6Kfm5uby969e4dgVBIrbrebiRMn4nJd+OdTBbgiKc7rScfX3Eaaw5DpcuJ2OWM9JBEREUlRR48eJTs7m4KCAowxF/XchoYGsrOzh2hkMtystdTW1nL06FEmT558wc+LVZsgEYkTXo8LX0sAX0tABaZEREQkpvx+P6NHj77o4FaSjzGG0aNHX/RsvmZwRVJcbqYrUmRKBaZEREQk1hTcSlh/zgXN4IqkOK8nnbqWAHUtbZrBFREREenBrbfeyquvvhrrYQCwYMGCWA+hVwUFBZw6dSqmY1CAK5LivJmuUIAbwJuZHuvhiIiIiEgf3nvvvZgev729PabHPx8FuCIpzutx4Wtu43STcnBFRERENm7cSHFxMbNmzeKWW26JPL5t2zYWLFjAlClTIrO5jY2NXHvttZSWllJUVMTrr78OQFVVFdOnT2fNmjXMnDmTJUuW0NLSAsD27dspLi6mpKSEtWvXUlhYCEBHRwdr165l7ty5FBcX88QTT/Q4vhEjRgBQWVlJRUUFy5cvZ9q0aaxevRpr7Tn7//3f/z0zZsyguLiYb37zmwA0NTVx++23U15ezuzZs6PGffXVV1NaWkppaWkkmK6srOTqq69m2bJlzJgxg46ODr7//e9TWFhIcXEx69evjxxv/fr1kX+Pffv29Xm8PXv2UF5eTklJCcXFxezfv78/v7IoysEVSXG5mS46LZxqbCVXAa6IiIjEib/71R4++7L+gvfv6OjA6ey7G8SMCTn84Bsze92+Z88eHnroId577z3y8vI4ffp0ZNvx48d555132LdvH8uWLWP58uW43W5ee+01cnJyOHXqFFdeeSXLli0DYP/+/bz44os8+eSTrFy5kk2bNnHzzTdz22238eSTTzJ//nzuvffeyOtv2LCB3Nxctm/fTmtrKwsXLmTJkiV9VhDevXs3e/bsYcKECSxcuJB3332Xq666KmqfdevWcfDgQTIyMvD5fAA8/PDDLFq0iKeffhqfz0d5eTmLFy9mzJgxvPnmm7jdbvbv38+3vvUtduzYAcCuXbv49NNPmTx5Mo8//jhVVVV8+OGHpKWlRf075eXlsWvXLv7pn/6Jn/zkJzz11FO9Hu+nP/0p99xzD6tXr6atrY2Ojo4+f38XQjO4IinO6+lalqwlyiIiIpLKtmzZwooVK8jLywNg1KhRkW033HADDoeDGTNmUFNTAwRb2dx3330UFxezePFijh07Ftk2efJkSkpKAJgzZw5VVVX4fD4aGhqYP38+ADfddFPk9d944w02btxISUkJ8+bNo7a29rwzmuXl5UycOBGHw0FJSQlVVVXn7FNcXMzq1at5/vnnSUtLixxr3bp1lJSUUFFRgd/v5/DhwwQCAdasWUNRURErVqzgs88+izpWONh+6623uPPOOyOv1/3f6cYbb4z6mfs63vz58/nxj3/Mo48+yqFDh8jMzOzz570QmsEVSXHebpWTtURZRERE4kVfM609Geo+uBkZGZHb4aXAL7zwAidPnmTnzp24XC4KCgoibW267+90OiNLlHtjrWX9+vUsXbq0X2NyOp095sdu3ryZbdu28atf/YqHH36YTz75BGstmzZtYurUqVH7Pvjgg4wdO5aPPvqIzs5O3G53ZFtWVtZFjan7eHo73vTp05k3bx6bN2/m61//Ok888QSLFi26sB++F5rBFUlx3YNar9oEiYiISApbtGgRr7zyCrW1tQBRS297UldXx5gxY3C5XGzdupVDhw71ub/X6yU7O5sPPvgAgJdeeimybenSpTz++OMEAgEAPv/8c5qamgby49DZ2cmRI0f42te+xqOPPkpdXR2NjY0sXbqU9evXRwL13bt3R36e8ePH43A4eO6553pdMnzdddfxxBNPRALY8/079Xa8L774gilTpnD33Xdz/fXX8/HHHw/o5wUFuCIpr3vvW/XBFRERkVQ2c+ZM7r//fq655hpmzZrF9773vT73X716NTt27KCoqIiNGzcybdq08x5jw4YNrFmzhpKSEpqamsjNzQXgjjvuYMaMGZSWllJYWMidd9454IrFHR0d3HzzzRQVFTF79mzuvvtuvF4vDzzwAIFAgOLiYmbOnMkDDzwAwF133cWzzz7LrFmz2LdvX6+ztnfccQeXXXZZpBjXz3/+8z7H0dvxfvGLX1BYWEhJSQmffvop3/72twf08wKYniptJbKysjIbToSOhXA1M5FEcaLBT/nDbwOw+e6rmDkht9d9dX5LstM5LslM57ckgr179zJ9+vR+PXeolygPlsbGxkgl5HXr1nH8+HEee+yxGI8qfvV0Thhjdlpry3raXzm4IikuNyoHV0WmRERERIbS5s2beeSRR2hvbyc/P59nnnkm1kNKKgpwRVJcRpoTT7qT5rYO5eCKiIiIDLFVq1axatWqWA8jaSkHV0TwZrpwOQ2e9L57x4mIiIiIxDPN4IoIuZ502josxphYD0VEREREpN8U4IoI3kwXgY7OWA9DRERERGRAFOCKCMvnTKSuJRDrYYiIiIiIDIhycEWEv5wzkduvmhzrYYiIiIjEpVtvvZVXX3011sMAYMGCBUP6+vH0s/aHAlwREREREZEE8d5778V6CHFNAa6IiIiIiEjIxo0bKS4uZtasWdxyyy2Rx7dt28aCBQuYMmVKZIazsbGRa6+9ltLSUoqKinj99dcBqKqqYvr06axZs4aZM2eyZMkSWlpaANi+fTvFxcWUlJSwdu1aCgsLAejo6GDt2rXMnTuX4uJinnjiiR7HN2LECAAqKyupqKhg+fLlTJs2jdWrV2Otjdp33759lJeXR+5XVVVRVFQEwA9/+EPmzp1LYWEh3/3ud895LkBBQQGnTp0CYMeOHVRUVADQ1NTE7bffTnl5ObNnz4783PFAObgiIiIiIhJ//v1eqP7kgnfP7GgH53nCm3FF8Gfret28Z88eHnroId577z3y8vI4ffp0ZNvx48d555132LdvH8uWLWP58uW43W5ee+01cnJyOHXqFFdeeSXLli0DYP/+/bz44os8+eSTrFy5kk2bNnHzzTdz22238eSTTzJ//nzuvffeyOtv2LCB3Nxctm/fTmtrKwsXLmTJkiVMntx7Gtnu3bvZs2cPEyZMYOHChbz77rtcddVVke3Tpk2jra2NgwcPMnnyZF5++eVID96//uu/5m//9m8BuOWWW/j1r3/NN77xjb7//UIefvhhFi1axNNPP43P56O8vJzFixeTlZV1Qc8fSprBFRERERERAbZs2cKKFSvIy8sDYNSoUZFtN9xwAw6HgxkzZlBTUwOAtZb77ruP4uJiFi9ezLFjxyLbJk+eTElJCQBz5syhqqoKn89HQ0MD8+fPB+Cmm26KvP4bb7zBxo0bKSkpYd68edTW1rJ///4+x1teXs7EiRNxOByUlJRQVVV1zj4rV67k5ZdfBogKcLdu3cq8efMoKipiy5Yt7Nmz54L/nd544w3WrVtHSUkJFRUV+P1+Dh8+fMHPH0qawRURERERkfjTx0xrT1oaGsjOzh6iwUBGRkbkdng57wsvvMDJkyfZuXMnLpeLgoIC/H7/Ofs7nc7IEuXeWGtZv349S5cu7deYnE4n7e3t5+yzatUqVqxYwY033ogxhiuuuAK/389dd93Fjh07mDRpEg8++GBk3N2lpaXR2RlsJdl9u7WWTZs2MXXq1Ase63DRDK6IiIiIiAiwaNEiXnnlFWprawGilij3pK6ujjFjxuByudi6dSuHDh3qc3+v10t2djYffPABAC+99FJk29KlS3n88ccJBIKtGz///HOampoG8uMAcPnll+N0OvnRj34Umb0NB6t5eXk0Njb2WjW5oKCAnTt3ArBp06aosa5fvz4S6O/evXvA4xwsCnBFRERERESAmTNncv/993PNNdcwa9Ysvve97/W5/+rVq9mxYwdFRUVs3LiRadOmnfcYGzZsYM2aNZSUlNDU1ERubi4Ad9xxBzNmzKC0tJTCwkLuvPPOHmdk+2PVqlU8//zzrFy5EggG2mvWrKGwsJClS5cyd+7cHp/3gx/8gHvuuYeysjKcTmfk8QceeIBAIEBxcTEzZ87kgQceGJRxDgbTU7WsRFZWVmZ37NgRs+OHq5mJJCOd35LsdI5LMtP5LYlg7969TJ8+vV/PbRjiJcqDpbGxMVIJed26dRw/fpzHHnssxqOKXz2dE8aYndbasp72Vw6uiIiIiIjIMNm8eTOPPPII7e3t5Ofn88wzz8R6SElFAa6IiIiIiMgwWbVqVSQXVgafcnBFREREREQkKSjAFRERERGRuJFsNYKk//pzLijAFRERERGRuOB2u6mtrVWQK1hrqa2txe12X9TzlIMrIiIiIiJxYeLEiRw9epSTJ09e9HP9fv9FB0MS39xuNxMnTryo5yjAFRERERGRuOByuZg8eXK/nltZWcns2bMHeUSSaLREWURERERERJKCAlwRERERERFJCgpwRUREREREJCmYZKtQZow5CRyK4RDygFMxPL7IUNL5LclO57gkM53fkux0jqeOfGvtJT1tSLoAN9aMMTustWWxHofIUND5LclO57gkM53fkux0jgtoibKIiIiIiIgkCQW4IiIiIiIikhQU4A6+n8V6ACJDSOe3JDud45LMdH5LstM5LsrBFRERERERkeSgGVwRERERERFJCgpwB4kx5k+NMX8wxhwwxtwb6/GIDJQxZpIxZqsx5jNjzB5jzD2hx0cZY940xuwP/X9krMcq0l/GGKcxZrcx5teh+5ONMR+EruUvG2PSYz1Gkf4yxniNMa8aY/YZY/YaY+brGi7JwhjzP0KfTz41xrxojHHrGi6gAHdQGGOcwD8CfwbMAL5ljJkR21GJDFg78DfW2hnAlcB/C53X9wJvW2uvAN4O3RdJVPcAe7vdfxT4v9barwBngL+KyahEBsdjwG+stdOAWQTPdV3DJeEZYy4F7gbKrLWFgBP4JrqGCwpwB0s5cMBa+4W1tg14Cbg+xmMSGRBr7XFr7a7Q7QaCH4wuJXhuPxva7VnghtiMUGRgjDETgT8HngrdN8Ai4NXQLjq/JWEZY3KBrwIbAKy1bdZaH7qGS/JIAzKNMWmABziOruGCAtzBcilwpNv9o6HHRJKCMaYAmA18AIy11h4PbaoGxsZoWCID9f+A/wl0hu6PBnzW2vbQfV3LJZFNBk4C/xxahv+UMSYLXcMlCVhrjwE/AQ4TDGzrgJ3oGi4owBWR8zDGjAA2Af/dWlvffZsNlmFXKXZJOMaYvwBOWGt3xnosIkMkDSgFHrfWzgaaOGs5sq7hkqhCuePXE/wiZwKQBfxpTAclcUMB7uA4Bkzqdn9i6DGRhGaMcREMbl+w1v5L6OEaY8z40PbxwIlYjU9kABYCy4wxVQTTShYRzFf0hpa7ga7lktiOAkettR+E7r9KMODVNVySwWLgoLX2pLU2APwLweu6ruGiAHeQbAeuCFVuSyeY5P7LGI9JZEBC+YgbgL3W2v/TbdMvge+Ebn8HeH24xyYyUNba/2WtnWitLSB4zd5irV0NbAWWh3bT+S0Jy1pbDRwxxkwNPXQt8Bm6hktyOAxcaYzxhD6vhM9vXcMFE1ydIgNljPk6wXwuJ/C0tfbhGA9JZECMMVcBvwc+oStH8T6Cebi/AC4DDgErrbWnYzJIkUFgjKkAvm+t/QtjzBSCM7qjgN3Azdba1liOT6S/jDElBIuopQNfALcRnNzQNVwSnjHm74BVBLs+7AbuIJhzq2t4ilOAKyIiIiIiIklBS5RFREREREQkKSjAFRERERERkaSgAFdERERERESSggJcERERERERSQoKcEVERERERCQpKMAVERFJAMaYB40x3+9j+w3GmBnDOSYREZF4owBXREQkOdwAKMAVEZGUpj64IiIiccoYcz/wHeAEcATYCdQB3wXSgQPALUAJ8OvQtjrgL0Mv8Y/AJUAzsMZau284xy8iIjLcFOCKiIjEIWPMHOAZYB6QBuwCfgr8s7W2NrTPQ0CNtXa9MeYZ4NfW2ldD294G/ou1dr8xZh7wiLV20fD/JCIiIsMnLdYDEBERkR5dDbxmrW0GMMb8MvR4YSiw9QIjgN+e/URjzAhgAfCKMSb8cMaQj1hERCTGFOCKiIgklmeAG6y1HxljbgUqetjHAfistSXDOC4REZGYU5EpERGR+LQNuMEYk2mMyQa+EXo8GzhujHEBq7vt3xDahrW2HjhojFkBYIJmDd/QRUREYkMBroiISByy1u4CXgY+Av4d2B7a9ADwAfAu0L1o1EvAWmPMbmPM5QSD378yxnwE7AGuH66xi4iIxIqKTImIiIiIiEhS0AyuiIiIiIiIJAUFuCIiIiIiIpIUFOCKiIiIiIhIUlCAKyIiIiIiIklBAa6IiIiIiIgkBQW4IiIiIiIikhQU4IqIiIiIiEhSUIArIiIiIiIiSeH/A0J2lxG6uuXnAAAAAElFTkSuQmCC\n", | |
"text/plain": [ | |
"<Figure size 1152x576 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"tags": [], | |
"needs_background": "light" | |
} | |
} | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"id": "fXI26YHyYdiF" | |
}, | |
"source": [ | |
"Plot the **change of price** of a cryptocurrency (x) and the **change of the number of searches** for the cryptocurrency (y)\r\n", | |
"\r\n", | |
"**slope** - represents the tendency for the change in price to follow the change in number of searches\r\n", | |
"\r\n", | |
"**correlation** - " | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"metadata": { | |
"id": "AV955QtoJ_-N" | |
}, | |
"source": [ | |
"" | |
], | |
"execution_count": null, | |
"outputs": [] | |
}, | |
{ | |
"cell_type": "code", | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 550 | |
}, | |
"id": "-Gh6CIqXHGAa", | |
"outputId": "03d0d3f3-ac29-48e1-905b-2baca8165c7d" | |
}, | |
"source": [ | |
"# plot the change in BTC price vs the change in searches\r\n", | |
"btc_change = df_btc['BTC_change'].to_numpy()\r\n", | |
"s_btc_change = df_trends['s_BTC_change'].to_numpy()\r\n", | |
"\r\n", | |
"plt.figure(figsize=(16,8))\r\n", | |
"plt.plot(s_btc_change, btc_change, '.')\r\n", | |
"plt.grid(True)\r\n", | |
"plt.xlabel('change in bitcoin price')\r\n", | |
"plt.ylabel('change in bitcoin searches')\r\n", | |
"\r\n", | |
"# prevent nans\r\n", | |
"mask = ~np.isnan(btc_change) & ~np.isnan(s_btc_change)\r\n", | |
"# get magic numbers\r\n", | |
"slope, intercept, r_value, p_value, std_err = stats.linregress(s_btc_change[mask],btc_change[mask])\r\n", | |
"\r\n", | |
"# plot linear regression line\r\n", | |
"x = np.linspace(-0.2, 0.5)\r\n", | |
"y = slope * x + intercept\r\n", | |
"plt.plot(x, y, 'k')\r\n", | |
"\r\n", | |
"print('BITCOIN')\r\n", | |
"print('slope of line: ' + str(slope))\r\n", | |
"print('correlation: ' + str(r_value))" | |
], | |
"execution_count": 80, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"text": [ | |
"BITCOIN\n", | |
"slope of line: 0.08010547757162413\n", | |
"correlation: 0.44703775847944394\n" | |
], | |
"name": "stdout" | |
}, | |
{ | |
"output_type": "display_data", | |
"data": { | |
"image/png": "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\n", | |
"text/plain": [ | |
"<Figure size 1152x576 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"tags": [], | |
"needs_background": "light" | |
} | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 550 | |
}, | |
"id": "Oj_41oYqU_xr", | |
"outputId": "bdb55f2c-2998-4afd-e87f-e41e76f076e2" | |
}, | |
"source": [ | |
"## Same for Dogecoin\r\n", | |
"# plot the change in DOGE price vs the change in searches\r\n", | |
"doge_change = df_doge['DOGE_change'].to_numpy()\r\n", | |
"s_doge_change = df_trends['s_DOGE_change'].to_numpy()\r\n", | |
"\r\n", | |
"plt.figure(figsize=(16,8))\r\n", | |
"plt.plot(s_doge_change, doge_change, '.')\r\n", | |
"plt.grid(True)\r\n", | |
"plt.xlabel('change in dogecoin searches')\r\n", | |
"plt.ylabel('change in dogecoin price')\r\n", | |
"plt.xlim([0, 50])\r\n", | |
"\r\n", | |
"# prevent nans\r\n", | |
"mask = ~np.isnan(doge_change) & ~np.isnan(s_doge_change) \r\n", | |
"# get magic numbers\r\n", | |
"slope, intercept, r_value, p_value, std_err = stats.linregress(s_doge_change[mask], doge_change[mask])\r\n", | |
"\r\n", | |
"# plot linear regression line\r\n", | |
"x = np.linspace(-0.1, 10)\r\n", | |
"y = slope * x + intercept\r\n", | |
"plt.plot(x, y, 'k')\r\n", | |
"\r\n", | |
"print('DOGECOIN')\r\n", | |
"print(\"slope of line: \" + str(slope))\r\n", | |
"print('correlation: ' + str(r_value))" | |
], | |
"execution_count": 79, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"text": [ | |
"DOGECOIN\n", | |
"slope of line: 6.61940688873489e-09\n", | |
"correlation: 0.003958377173299285\n" | |
], | |
"name": "stdout" | |
}, | |
{ | |
"output_type": "display_data", | |
"data": { | |
"image/png": "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\n", | |
"text/plain": [ | |
"<Figure size 1152x576 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"tags": [], | |
"needs_background": "light" | |
} | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 550 | |
}, | |
"id": "taBaCsB8UpxJ", | |
"outputId": "32e3f2fd-b26f-4cd2-b172-0faa36bd9a0d" | |
}, | |
"source": [ | |
"## Same for Ethereum\r\n", | |
"# plot the change in ETH price vs the change in searches\r\n", | |
"eth_change = df_eth['ETH_change'].to_numpy()\r\n", | |
"s_eth_change = df_trends['s_ETH_change'].to_numpy()\r\n", | |
"\r\n", | |
"plt.figure(figsize=(16,8))\r\n", | |
"plt.plot(s_eth_change, eth_change, '.')\r\n", | |
"plt.grid(True)\r\n", | |
"plt.xlabel('change in ethereum price')\r\n", | |
"plt.ylabel('change in ethereum searches')\r\n", | |
"\r\n", | |
"# prevent nans\r\n", | |
"mask = ~np.isnan(eth_change) & ~np.isnan(s_eth_change)\r\n", | |
"# get magic numbers\r\n", | |
"slope, intercept, r_value, p_value, std_err = stats.linregress(s_eth_change[mask], eth_change[mask], )\r\n", | |
"\r\n", | |
"# plot linear regression line\r\n", | |
"x = np.linspace(-0.5, 0.5)\r\n", | |
"y = slope * x + intercept\r\n", | |
"plt.plot(x, y, 'k')\r\n", | |
"\r\n", | |
"print(\"ETHEREUM\")\r\n", | |
"print(\"slope of line: \" + str(slope))\r\n", | |
"print('correlation: ' + str(r_value))" | |
], | |
"execution_count": 78, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"text": [ | |
"ETHEREUM\n", | |
"slope of line: 0.10512247976473256\n", | |
"correlation: 0.45431891139927955\n" | |
], | |
"name": "stdout" | |
}, | |
{ | |
"output_type": "display_data", | |
"data": { | |
"image/png": "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\n", | |
"text/plain": [ | |
"<Figure size 1152x576 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"tags": [], | |
"needs_background": "light" | |
} | |
} | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"id": "Q9O0xC8IFos9" | |
}, | |
"source": [ | |
"actual price vs actual number of searches" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 550 | |
}, | |
"id": "T2zMNovwc5LA", | |
"outputId": "6e199ac4-7ac7-4fb5-8304-7ec67ec80e04" | |
}, | |
"source": [ | |
"price = df_btc['BTC'].to_numpy()\r\n", | |
"searches = df_trends['s_BTC'].to_numpy()\r\n", | |
"\r\n", | |
"plt.figure(figsize=(16,8))\r\n", | |
"plt.plot(searches, price, '.')\r\n", | |
"plt.grid(True)\r\n", | |
"plt.xlabel('bitcoin searches')\r\n", | |
"plt.ylabel('bitcoin price')\r\n", | |
"\r\n", | |
"# prevent nans\r\n", | |
"mask = ~np.isnan(searches) & ~np.isnan(price)\r\n", | |
"# get magic numbers\r\n", | |
"slope, intercept, r_value, p_value, std_err = stats.linregress(searches, price)\r\n", | |
"# plot linear regression line\r\n", | |
"x = np.linspace(0, 100)\r\n", | |
"y = slope * x + intercept\r\n", | |
"plt.plot(x, y, 'k')\r\n", | |
"\r\n", | |
"print('BITCOIN')\r\n", | |
"print('slope of line: ' + str(slope))\r\n", | |
"print('correlation: ' + str(r_value))" | |
], | |
"execution_count": 75, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"text": [ | |
"BITCOIN\n", | |
"slope of line: 486.8819923490296\n", | |
"correlation: 0.748047135496403\n" | |
], | |
"name": "stdout" | |
}, | |
{ | |
"output_type": "display_data", | |
"data": { | |
"image/png": "iVBORw0KGgoAAAANSUhEUgAAA78AAAHgCAYAAABtp9qRAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+WH4yJAAAgAElEQVR4nOzdd3hUVeLG8fcECE06CogI0lRgpVlwdQULVhaQpoCI0gVBBRRCsrr+ZkgCJNQAoRN6VxFRxILYUIioKKCEEhFphtAkhJTz+4NhF1dKgEzulO/nefJk5s6dmTfmqnnn3HOusdYKAAAAAIBAFuJ0AAAAAAAAvI3yCwAAAAAIeJRfAAAAAEDAo/wCAAAAAAIe5RcAAAAAEPAovwAAAACAgJff6QB5rWzZsrZKlSpOxzivP/74Q0WLFnU6BoIcxyF8BccifAHHIXwBxyF8ha8fi4mJib9ba68+12NBV36rVKmiDRs2OB3jvNasWaMmTZo4HQNBjuMQvoJjEb6A4xC+gOMQvsLXj0VjTPL5HuO0ZwAAAABAwKP8AgAAAAACHuUXAAAAABDwKL8AAAAAgIBH+QUAAAAABDzKLwAAAAAg4FF+AQAAAAABj/ILAAAAAAh4lF8AAAAAQMCj/AIAAAAAAh7lFwAAAAAQ8Ci/AAAAAICAR/kFAAAAAAQ8yi8AAAAAIOBRfgEAAAAAAY/yCwAAAAAIeJRfAAAAAMBFpaam6tixY07HuGyUXwAAAADAef3+++8aMmSIKleurLlz5zod57LldzoAAAAAAMD37Nu3TzExMZo4caLS0tLUpk0bNW3a1OlYl42RXwAAAADAf+zevVt9+/ZVlSpVNGrUKLVq1Uo//vijFi1apGrVqjkd77Ix8gsAAAAA0M6dOxUdHa0ZM2bIWqvOnTtr8ODBql69utPRcgXlFwAAAACC2M8//6zIyEjNmTNH+fLlU7du3TRo0CBVrlzZ6Wi5ivILAAAAAEHohx9+UGRkpBYuXKiCBQuqb9++GjhwoCpWrOh0NK+g/AIAAABAENm4caPcbreWLVumokWLauDAgerfv7/KlSvndDSvovwCAAAAQBD46quv5Ha7tWLFCpUoUUL/+te/9MILL6hMmTJOR8sTlF8AAAAACGBr166V2+3W6tWrVbp0ablcLj3//PMqWbKk09HyFOUXAAAAAAKMtVYffvihXC6X1q5dq2uuuUbDhw9Xr169VKxYMafjOYLyCwAAAAABwlqrlStXyu12a926dbr22ms1evRode/eXUWKFHE6nqMovwAAAADg57Kzs/Xmm2/K7XZr48aNqly5siZOnKhnn31WBQsWdDqeTwhxOgAAAAAA4PJkZWVpwYIFqlu3rlq3bq2jR49q2rRp2rZtm3r16kXxPQvlFwAAAAD8TEZGhhISElSrVi21b99eWVlZmjNnjrZu3aouXbqoQIECTkf0OZz2DAAAAAB+4tSpU0pISFBUVJR27typunXravHixWrVqpVCQhjbvBD+6QAAAACAj0tLS1NcXJyqVaumHj16qGzZslq+fLk2btyoNm3aUHxzgJFfAAAAAPBRf/zxh+Lj4xUTE6N9+/bprrvu0tSpU/Xggw/KGON0PL9C+QUAAAAAH3P06FGNHz9eI0eO1O+//6777rtP8+fPV+PGjSm9l4nyCwAAAAA+IjU1VWPGjNGYMWN0+PBhPfLII4qIiNDf//53p6P5PcovAAAAADjs4MGDGjVqlOLi4nTs2DG1bNlS4eHhuvXWW52OFjAovwAAAADgkL179yomJkbx8fFKS0tT27ZtFR4erltuucXpaAGH8gsAAAAAeWz37t0aPny4pkyZoszMTHXo0EFDhgzRTTfd5HS0gEX5BQAAAIA8smPHDkVHR2vmzJmy1qpz584KCwtTtWrVnI4W8Ci/AAAAAOBlP//8syIjIzVnzhzly5dP3bt316BBg3T99dc7HS1oUH4BAAAAwEt++OEHDR06VIsWLVLBggXVr18/DRw4UNdee63T0YIO5RcAAAAActk333wjt9utN954Q1dddZVefvll9e/fX9dcc43T0YJWiDdf3BhT0hizxBiz1RizxRhzpzGmtDFmtTFmm+d7Kc++xhgz1hiTZIz53hjT4KzX6ezZf5sxpvNZ2xsaYzZ5njPWcLVnAAAAAA5at26dmjVrpoYNG+qjjz7Sq6++ql27dik6Opri6zCvll9JYyS9Z629SVJdSVskDZb0obW2hqQPPfcl6RFJNTxfPSRNlCRjTGlJr0m6Q9Ltkl47U5g9+3Q/63kPe/nnAQAAAIC/WLt2rZo2bao777xT69at09ChQ5WcnKzXX39dZcqUcToe5MXya4wpIekeSdMkyVp7ylp7WFILSQme3RIktfTcbiFplj1tnaSSxpgKkh6StNpae8hamypptaSHPY8Vt9aus9ZaSbPOei0AAAAA8CprrVavXq177rlHjRs31qZNmzRixAjt2rVLQ4YMUYkSJZyOiLN4c+T3BkkHJc0wxmw0xkw1xhSVVM5au9ezzz5J5Ty3K0rafdbzf/Vsu9D2X8+xHQAAAAC8xlqrFStW6M4779SDDz6oHTt2aMyYMdq5c6cGDhyoq666yumIOAdvLniVX1IDSX2ttV8ZY8bov6c4S5KstdYYY72YQZJkjOmh06dSq1y5clqzZo233/KyHT9+3KfzIThwHMJXcCzCF3AcwhdwHPqG7Oxsffrpp5ozZ46SkpJUvnx5vfTSS3r44YcVGhqqr776yumIXufPx6I3y++vkn611p45ApbodPndb4ypYK3d6zl1+YDn8T2SKp31/Os82/ZIavI/29d4tl93jv3/wlo7WdJkSbr11lttkyZNzrWbT1izZo18OR+CA8chfAXHInwBxyF8Acehs7KysrRo0SINHTpUP/74o2rUqKEZM2aoY8eOKlCggNPx8pQ/H4teO+3ZWrtP0m5jzI2eTfdL2ixpuaQzKzZ3lvSW5/ZySU97Vn1uJOmI5/ToVZIeNMaU8ix09aCkVZ7HjhpjGnlWeX76rNcCAAAAgCuSkZGhmTNn6uabb1aHDh1krdXcuXO1efNmPfPMM0FXfP2dt6/z21fSXGNMqKQdkp7V6cK9yBjTVVKypHaefVdKelRSkqQTnn1lrT1kjHFJWu/Z7/+stYc8t3tLmimpsKR3PV8AAAAAcNnS09OVkJCgqKgo7dq1S3Xr1tXixYvVqlUrhYR4+4I58Bavll9r7beSbj3HQ/efY18rqc95Xme6pOnn2L5BUp0rjAkAAAAASktL09SpUzV8+HD9+uuvuu222zR27Fg1a9ZMp082hT/z9sgvAAAAAPi048ePKz4+XjExMdq/f7/uvvtuTZs2TU2bNqX0BhDKLwAAAICgdPToUcXFxWnkyJFKSUnR/fffrwULFqhx48aU3gBE+QUAAAAQVA4dOqSxY8dqzJgxOnz4sB599FFFRETozjvvdDoavIjyCwAAACAoHDx4UCNHjtT48eN17NgxtWzZUhEREWrYsKHT0ZAHKL8AAAAAAtrevXsVExOj+Ph4paWlqV27dhoyZIhuueUWp6MhD1F+AQAAAASk3bt3a9iwYZo6daoyMzPVsWNHhYWF6aabbnI6GhxA+QUAAAAQUHbs2KGoqCglJCRIkjp37qzBgwerWrVqDieDkyi/AAAAAALC1q1bFRUVpblz5yp//vzq0aOHXnnlFV1//fVOR4MPoPwCAAAA8GubNm3S0KFDtWjRIhUuXFgvvPCCBgwYoGuvvdbpaPAhlF8AAAAAfikxMVFut1tvvvmmrrrqKg0aNEj9+/fX1Vdf7XQ0+CDKLwAAAAC/8uWXX8rtdmvlypUqWbKkXnvtNfXr10+lS5d2Ohp8GOUXAAAAgF/45JNP5HK59OGHH6ps2bKKjIxU7969VaJECaejwQ9QfgEAAAD4LGutVq9eLbfbrU8//VTlypVTTEyMevXqpaJFizodD36E8gsAAADA51hr9c4778jlcunrr7/Wddddp3Hjxqlr164qXLiw0/Hgh0KcDgAAAAAAZ2RnZ2vp0qVq0KCB/vnPf+rAgQOaNGmSkpKS9Pzzz1N8cdkovwAAAAAcl5WVpXnz5ulvf/ub2rRpoxMnTmjmzJn6+eef1aNHDxUsWNDpiPBzlF8AAAAAjsnIyNDMmTN18803q2PHjjLGaP78+dq8ebM6d+6sAgUKOB0RAYI5vwAAAADyXHp6umbOnKno6Gjt2rVL9evX19KlS9WyZUuFhDBGh9zHUQUAAAAgz6SlpWncuHGqXr26evXqpXLlymnFihVKTExUq1atKL7wGkZ+AQAAAHjd8ePHFR8fr5iYGO3fv1//+Mc/NH36dD3wwAMyxjgdD0GA8gsAAADAa44cOaLx48dr5MiRSklJ0QMPPKBFixbpnnvucToaggzlFwAAAECuO3TokMaMGaOxY8fq8OHDeuyxxxQREaFGjRo5HQ1BivILAAAAINccOHBAI0eO1Pjx43X8+HE9/vjjioiIUIMGDZyOhiBH+QUAAABwxX777TfFxMQoPj5eJ0+e1BNPPKHw8HDVqVPH6WiAJMovAAAAgCvwyy+/aNiwYZo2bZoyMzP11FNPKSwsTDfeeKPT0YA/ofwCAAAAuGTbt29XVFSUEhISZIzRM888o8GDB6tq1apORwPOifILAAAAIMe2bt2qyMhIzZs3T/nz51evXr30yiuvqFKlSk5HAy6I8gsAAADgojZt2iS3263FixercOHCevHFFzVgwABVqFDB6WhAjlB+AQAAAJxXYmKiXC6X3nrrLRUrVkyDBw/WSy+9pKuvvtrpaMAlofwCAAAA+Isvv/xSLpdL7777rkqWLKl///vf6tevn0qVKuV0NOCyUH4BAAAASJKstfrkk0/kcrn00UcfqWzZsoqMjFSfPn1UvHhxp+MBV4TyCwAAAAQ5a63ef/99ud1uffbZZypfvrxiY2PVs2dPFS1a1Ol4QK6g/AIAAABBylqrFStWyO126+uvv1alSpUUFxenLl26qHDhwk7HA3JViNMBAAAAAOSt7OxsLVmyRPXr11fz5s118OBBTZ48WUlJSerTpw/FFwGJ8gsAAAAEiaysLM2bN09/+9vf1LZtW6WlpWnmzJn66aef1L17d4WGhjodEfAayi8AAAAQ4DIyMjRjxgzdfPPN6tixo4wxmj9/vjZv3qzOnTurQIECTkcEvI45vwAAAECASk9P18yZMxUdHa1du3apfv36WrZsmVq0aKGQEMbBEFw44gEAAIAAk5aWprFjx6patWrq1auXypUrpxUrVigxMVGPP/44xRdBiZFfAAAAIEAcP35c8fHxiomJ0f79+/WPf/xDM2bM0AMPPCBjjNPxAEdRfgEAAAA/d+TIEcXFxWnUqFFKSUlR06ZNFRERoXvuucfpaIDPoPwCAAAAfurQoUMaPXq0xo4dqyNHjuixxx5TRESEGjVq5HQ0wOdQfgEAAAA/c+DAAcXGxmrChAk6fvy4WrVqpYiICNWvX9/paIDPovwCAAAAfuK3337TiBEjNGnSJKWnp+uJJ57QkCFDVKdOHaejAT6P8gsAAAD4uH379ql3796aNm2asrKy1KlTJ4WFhalmzZpORwP8BuUXAAAA8FFJSUmKiopSQkKCQkJC9Oyzz2rw4MG64YYbnI4G+B3KLwAAAOBjtmzZosjISM2bN0+hoaFq3ry5xowZo0qVKjkdDfBbXN0aAAAA8BHff/+92rVrp9q1a2vZsmXq37+/du7cqX79+lF8gStE+QUAAAActmHDBrVs2VJ169bVe++9p7CwMCUnJ2vEiBEqX7680/GAgMBpzwAAAIBDvvjiC7lcLr333nsqVaqUXn/9dfXt21elSpVyOhoQcCi/AAAAQB6y1mrNmjVyuVz6+OOPVbZsWUVFRal3794qXry40/GAgEX5BQAAAPKAtVbvv/++XC6XPv/8c5UvX16xsbHq2bOnihYt6nQ8IOBRfgEAAAAvstbq7bffltvt1vr161WpUiXFxcWpa9euKlSokNPxgKDBglcAAACAF2RnZ2vJkiWqX7++WrRooZSUFE2ZMkVJSUnq06cPxRfIY5RfAAAAIBdlZmZq7ty5qlOnjtq2bauTJ08qISFBP/30k7p166bQ0FCnIwJBifILAAAA5IKMjAzNmDFDN998s5566inly5dPCxYs0I8//qinn35a+fMz4xBwEv8GAgAAAFcgPT1dM2bMUHR0tJKTk9WgQQMtW7ZMLVq0UEgIY02Ar6D8AgAQpBKTU7VuR4oaVS2jhpW5pihwqU6cOKEpU6Zo+PDh+u2339SoUSNNmDBBjzzyiIwxTscD8D8ovwAABKHE5FR1nLpOpzKzFZo/RHO7NaIAAzl07NgxTZw4UbGxsTpw4IAaN26sWbNm6b777qP0Aj6M8zAAAAhC63ak6FRmtrKtlJGZrXU7UpyOBPi8w4cPy+12q0qVKho0aJDq1auntWvXas2aNbr//vspvoCPY+QXAIAg1KhqGYXmD1FGZrYK5A9Ro6plnI4E+KyUlBSNHj1aY8eO1dGjR9WsWTNFRETojjvucDoagEtA+QUAwCFOzrltWLmU5nZrxJxf4AL279+v2NhYTZgwQX/88Ydat26t8PBw1a9f3+loAC4D5RcAAAf4wpzbhpVLUXqBc9izZ49GjBihyZMnKz09XU888YTCw8NVu3Ztp6MBuAKUXwAAHHCuObcUUcBZycnJio6O1vTp05WVlaVOnTopLCxMNWvWdDoagFxA+QUAwAHMuQV8R1JSkiIjIzV79mwZY9SlSxcNGjRIN9xwg9PRAOQiyi8AAA5gzi3gvC1btmjo0KGaP3++QkND9dxzz+mVV17Rdddd53Q0AF5A+QUAwCHMuQWc8d1338ntdmvp0qUqUqSI+vfvrwEDBqh8+fJORwPgRZRfAAAABIX169fL7XZr+fLlKlasmMLCwvTSSy+pbNmyTkcDkAcovwAAAAhon3/+uVwul1atWqVSpUrp9ddfV9++fVWqFGdeAMGE8gsAAICAY63VmjVr5HK59PHHH+vqq69WdHS0nnvuORUvXtzpeAAcQPkFAABAwLDWatWqVXK73fr8889VoUIFjRw5Uj169FDRokWdjgfAQZRfAAAA+D1rrd5++225XC5t2LBBlSpV0vjx49WlSxcVKlTI6XgAfECI0wEAAACAy5Wdna3FixerXr16atGihQ4dOqQpU6YoKSlJvXv3pvgC+A+vll9jzC5jzCZjzLfGmA2ebaWNMauNMds830t5thtjzFhjTJIx5ntjTIOzXqezZ/9txpjOZ21v6Hn9JM9zjTd/HgAAAPiGzMxMzZkzR3Xq1FG7du2Unp6uWbNm6aefflK3bt0UGhrqdEQAPiYvRn7vtdbWs9be6rk/WNKH1toakj703JekRyTV8Hz1kDRROl2WJb0m6Q5Jt0t67Uxh9uzT/aznPez9HwcAAABOOXXqlKZPn66bbrpJnTp1Uv78+bVw4UL9+OOP/7kPAOfixGnPLSQleG4nSGp51vZZ9rR1kkoaYypIekjSamvtIWttqqTVkh72PFbcWrvOWmslzTrrtQAAABBATp48qYkTJ6pGjRrq2rWrSpYsqTfeeEPffvut2rVrp3z58jkdEYCP83b5tZLeN8YkGmN6eLaVs9bu9dzeJ6mc53ZFSbvPeu6vnm0X2v7rObYDAAAgQJw4cUKjR49WtWrV1Lt3b1WsWFErV67U+vXr1bJlS4WEsIQNgJzx9nkhd1tr9xhjrpG02hiz9ewHrbXWGGO9nEGe4t1DksqVK6c1a9Z4+y0v2/Hjx306H4IDxyF8BccifAHHoTNOnDiht956S4sXL1Zqaqrq1aunAQMGqH79+jLG6JNPPnE6Yp7iOISv8Odj0avl11q7x/P9gDHmDZ2es7vfGFPBWrvXc+ryAc/ueyRVOuvp13m27ZHU5H+2r/Fsv+4c+58rx2RJkyXp1ltvtU2aNDnXbj5hzZo18uV8CA4ch/AVHIvwBRyHeevw4cMaN26cRo8erUOHDumhhx5SRESE7r77bqejOYrjEL7Cn49Fr50nYowpaowpdua2pAcl/SBpuaQzKzZ3lvSW5/ZySU97Vn1uJOmI5/ToVZIeNMaU8ix09aCkVZ7HjhpjGnlWeX76rNcCAACAH0lJSVFERIQqV66sV199VXfddZe++uorvffee0FffAHkDm+O/JaT9Ibn6kP5Jc2z1r5njFkvaZExpqukZEntPPuvlPSopCRJJyQ9K0nW2kPGGJek9Z79/s9ae8hzu7ekmZIKS3rX8wUAAAA/sX//fsXGxmrChAk6ceKEWrdurfDwcNWrV8/paAACjNfKr7V2h6S659ieIun+c2y3kvqc57WmS5p+ju0bJNW54rAAAADIU3v27NHw4cM1efJknTp1Sk8++aTCw8NVq1Ytp6MBCFBcCA0A4JMSk1O1YvspFbshVQ0rl7r4EwD4hV27dmnYsGGaPn26srOz1alTJ4WFhalGjRpORwMQ4Ci/AACfk5icqo5T1yk9I1srdq3T3G6NKMCAn0tKSlJkZKRmz56tkJAQPfvssxo8eLCqVKnidDQAQYILowEAfM66HSk6lZktKykjM1vrdqQ4HemyJCanavzHSUpMTnU6CuCYzZs366mnntKNN96o+fPnq3fv3tq+fbvi4+MpvgDyFCO/AACf06hqGYXmD9GpjGwVyB+iRlXLOB3pkp0ZvT6Vma3Q/CGMXiPofPfdd3K73Vq6dKmKFCmiAQMGqH///ipfvrzT0QAEKUZ+AQA+p2HlUprbrZFa1Sjgt6XxzOh1tvXv0WvgUq1fv14tWrRQvXr19P7772vIkCHatWuXhg8fTvEF4ChGfgEAPqlh5VI6Vi3UL4uv9N/R64xM/x29Bi7FZ599JrfbrVWrVqlUqVL6v//7P/Xt21clS5Z0OhoASKL8AgDgFWdGr9ftSFGjqmX8tsQDF2Kt1ccffyyXy6U1a9bo6quvVnR0tHr37q1ixYo5HQ8A/oTyCwCAlzSsXIrSi4BkrdV7770nt9utL774QhUqVNCoUaPUo0cPFSlSxOl4AHBOzPkFADiClZAB/5Odna0333xTt912mx599FH9+uuvmjBhgnbs2KEXX3yR4gvApzHyCwDIc6yEDPiXrKwsLV26VG63W5s2bVK1atU0depUderUSaGhoU7HA4AcYeQXAJDn8mIlZEaWgSuXmZmp2bNnq06dOnriiSeUkZGh2bNna+vWreratSvFF4BfYeQXAJDnvL0SMiPLwJU5deqUZs+eraioKG3fvl233HKLFi1apFatWilfvnxOxwOAy0L5BQDkOW+vhHyukWXKL3BxJ0+e1PTp0zVs2DD98ssvuvXWW/Xmm2/qn//8p0JCOGEQgH+j/AIAHOHNlZDz4hq7icmpXMYIAePEiROaNGmSRowYob179+rvf/+7Jk2apIceekjGGKfjAUCuoPwCAAKOt0eWOa0ageLYsWMaP368Ro4cqYMHD+ree+/VnDlzdO+991J6AQQcyi8AICB5c2SZ06rh7w4fPqyxY8dq9OjRSk1N1UMPPaR//etfuuuuu5yOBgBeQ/kFAOAS5cVp1YA3/P777xo1apTi4uJ09OhRNW/eXBEREbrtttucjgYAXkf5BQD8BfNZL8zbp1UDuW3fvn2KiYnRxIkTlZaWptatWysiIkJ169Z1OhoA5BnKLwDgT5jPmjPePK0ayC27d+/WiBEjNGXKFJ06dUrt27fXkCFDVKtWLaejAUCeo/wCAP6E+ayA/9u5c6eio6M1Y8YMWWv19NNPa/DgwapRo4bT0QDAMZRfAMCfMJ8V8F8///yzoqKiNHv2bOXLl09du3bVoEGDVKVKFaejeRVTNQDkBOUXAPAnzGcF/M8PP/ygyMhILVy4UKGhoerTp49efvllXXfddU5H8zqmagDIKcovAOAvmM8K+IeNGzfK7XZr2bJlKlq0qPr3768BAwaofPnyTkfLM0zVAJBTlF8AAAA/89VXX8ntdmvFihUqXry4IiIi9MILL6hs2bJOR8tzTNUAkFOUXwAAAD/x6aefyuVyafXq1SpdurRcLpeef/55lSxZ0ulojmGqBoCcovwCAAD4MGutPvzwQ7lcLq1du1bXXHONhg0bpueee07FihVzOp5PYKoGgJyg/AIAAPgga63effdduVwurVu3Ttdee61Gjx6t7t27q0iRIk7HAwC/Q/kFAADwIdnZ2Xrrrbfkdrv1zTffqHLlypo4caKeeeYZFSpUyOl4AOC3QpwOAAAAACkrK0sLFy5U3bp11apVKx05ckTTpk3Ttm3b1KtXL4ovAFwhyi8AAICDMjMzNWvWLNWuXVtPPvmksrKyNGfOHG3dulVdunRRgQIFnI4IAAGB8gsAAOCAU6dOaerUqbrxxhvVuXNnFSxYUIsWLdIPP/ygjh07Kn9+ZqcBQG6i/AIA4KMSk1M1/uMkJSanOh0FuejkyZMaP368qlevru7du6t06dJ666239O2336pt27YKCeHPMwDwBj5SBADAByUmp6rj1HU6lZmt0PwhmtutEZdy8XN//PGHJk2apBEjRmjfvn266667NGXKFD344IMyxjgdDwACHuUXAAAftG5Hik5lZivbShmZ2Vq3I4Xy66eOHj2qCRMmKDY2Vr///rvuvfdezZs3T02aNKH0AkAeovwCAOCDGlUto9D8IcrIzFaB/CFqVLWM05FwiVJTUzV27FiNGTNGqampevjhhxUREaG77rrL6WgAEJQovwAA+KCGlUtpbrdGWrcjRY2qlmHU148cPHhQo0aNUlxcnI4dO6YWLVooPDxct912m9PRACCoUX4BAPBRDSuXovT6kb179yo2NlYTJ05UWlqa2rRpo/DwcNWtW/e8z0lMTuUDDgDII5RfAACAK7B7924NHz5cU6ZMUUZGhjp06KCwsDDVqlXrgs9jUTMAyFuUXwAAgMuwc+dORUVFaebMmbLW6umnn1ZYWJiqV6+eo+ezqBkA5C3KLwAAwCX4+eefFRkZqTlz5ihfvnzq1q2bXnnlFVWpUuWSXodFzQAgb1F+AQAAcuCHH37Q0KFDtWjRIhUsWFB9+/bVwIEDVSD7ZKMAACAASURBVLFixct6PRY1A4C8RfkFAAC4gG3btmncuHFatmyZihYtqoEDB6p///4qV67cFb82i5oBQN6h/AIAAJzDV199JZfLpXfeeUclSpTQv/71L73wwgsqU4bTkwHAH1F+AQAAzrJ27Vq53W6tXr1apUuXVteuXRUTE6OSJUs6HQ0AcAVCnA4AAADgNGutPvjgAzVu3FiNGzfWd999p+HDhys5OVlPPfUUxRcAAgAjvwAAIGhZa7Vy5Uq53W6tW7dOFStW1JgxY9S9e3cVLlzY6XgAgFxE+QUAAEEnOztbb775ptxutzZu3KjKlSsrPj5ezzzzjAoWLOh0PACAF3DaMwAACBpZWVlasGCB6tatq9atW+vYsWOaPn26tm3bpp49e1J8ASCAUX4BAEDAy8jIUEJCgmrVqqX27dsrOztbc+fO1ZYtW/Tss8+qQIECTkcEAHgZpz0DAICAlZ6eroSEBEVHR2vnzp2qW7euFi9erFatWikkhDEAAAgm/FcfAAAEnLS0NMXFxal69erq2bOnypYtq+XLl2vjxo1q06YNxRcAghAjvwAAIGD88ccfio+PV0xMjPbt26e77rpLU6dO1YMPPihjjNPxAAAOovwCAAC/d/ToUY0fP14jR47U77//rvvuu0/z589X48aNKb0AAEk5LL/GmMKSrrfW/uTlPAAAADmWmpqqMWPGaMyYMTp8+LAeeeQRRURE6O9//7vT0QAAPuaiE16MMf+U9K2k9zz36xljlns7GAAAwPkcPHhQYWFhqly5sl5//XU1btxY69ev18qVKym+AIBzysnI778l3S5pjSRZa781xtzgxUwAAADntHfvXsXExCg+Pl5paWlq27atwsPDdcsttzgdDQDg43JSfjOstUf+Z76M9VIeAACAv9i9e7eGDRumqVOnKjMzUx06dFBYWJhuvvlmp6MBAPxETsrvj8aYDpLyGWNqSOon6QvvxgIAAJB27NihqKgoJSQkyFqrzp07KywsTNWqVXM6GgDAz+TkInd9JdWWlC5pnqQjkl70ZigAABDcfvrpJ3Xu3Fk1a9bUrFmz1L17dyUlJWnq1KkUXwDAZbnoyK+19oSkcM8XAACA1/zwww9yu91atGiRChUqpL59++rll1/Wtdde63Q0AICfy8lqz6uNMSXPul/KGLPKu7EAAEAw+eabb9SqVSv97W9/0zvvvKNXXnlFu3bt0qhRoyi+AIBckZM5v2WttYfP3LHWphpjrvFiJgAAECTWrVsnl8ullStXqkSJEnr11VfVr18/lSlTxuloAIAAk5Pym22Mud5a+4skGWMqi9WeAQDAFfjkk0/kdrv1wQcfqEyZMnK73Xr++edVokQJp6MBAAJUTspvuKTPjDGfSDKS/iGph1dTAQCAgGOt1QcffCCXy6VPP/1U5cqV04gRI9SrVy9dddVVTscDAAS4nCx49Z4xpoGkRp5NL1prf/duLAAAECistXrnnXfkdrv11VdfqWLFihozZoy6d++uwoULOx0PABAkzrvglTHmJs/3BpKul/Sb5+t6zzYAAIDzys7O1tKlS9WgQQP985//1P79+xUfH6/t27erX79+FF8AQJ660Mhvf50+vTn2HI9ZSfd5JREAAPBrWVlZWrRokYYOHaoff/xRNWrU0IwZM9SxY0cVKFDA6XgAgCB13vJrre1hjAmRFGGt/TwPMwEAAD+UkZGhuXPnKjIyUtu2bVOtWrU0d+5ctWvXTvnz52SZEQAAvOeC1/m11mZLisujLAAAwA+lp6dr0qRJqlmzpp599lkVKVJES5Ys0aZNm9ShQweKLwDAJ1yw/Hp8aIxpbYwxXk8DAAD8RlpamsaNG6fq1aurV69euvrqq7V8+XJt3LhRrVu3VkhITv7MAAAgb+Tko9ieOj3/N8sYk6bTlzuy1triXk0GAAB80vHjxxUfH6+YmBjt379fd999t6ZNm6amTZuKz8oDT2JyqtbtSFGjqmXUsHIpp+MAwGXLyaWOiuVFEAAA4NuOHj2quLg4jRw5UikpKbr//vu1YMECNW7cmNIboBKTU9Vx6jqdysxWaP4Qze3WiAIMwG/l6HwkY0wrY8xIY0ysMablpbyBMSafMWajMWaF5/4NxpivjDFJxpiFxphQz/aCnvtJnsernPUaYZ7tPxljHjpr+8OebUnGmMGXkgsAnJSYnKrxHycpMTnV6SgIYjk9Dg8dOqTXXntNlStXVnh4uO644w598cUX+uCDD9SkSROKbwBbtyNFpzKzlW2ljMxsrduR4nQkALhsFx35NcZMkFRd0nzPpl7GmKbW2j45fI8XJG2RdOY06WGSRllrFxhj4iV1lTTR8z3VWlvdGPOkZ78njDG1JD0pqbakayV9YIyp6Xmt8ZKaSvpV0npjzHJr7eYc5gIARzCSAl+Qk+PwwIEDGjVqlMaPH69jx46pZcuWioiIUMOGDR1KjbzWqGoZheYPUUZmtgrkD1GjqmWcjgQAly0nc37vk3SztdZKkjEmQdKPOXlxY8x1kh6TNFRSf8+iWfdJ6uDZJUHSv3W6/Lbw3JakJZLiPPu3kLTAWpsuaacxJknS7Z79kqy1OzzvtcCzL+UXgE8710gK5Rd57ULH4d69ezVixAjFx8fr5MmTateunYYMGaJbbrnF4dTIaw0rl9Lcbo2Y8wsgIOSk/CZJul5Ssud+Jc+2nBgt6RVJZ+YNl5F02Fqb6bn/q6SKntsVJe2WJGttpjHmiGf/ipLWnfWaZz9n9/9svyOHuQDAMYykwBec6zjcvXu3hg0bpqlTpyozM1MdO3ZUWFiYbrrpJqfjwkENK5ei9AIICDkpv8UkbTHGfC3J6vSo6wZjzHJJstY2P9eTjDHNJB2w1iYaY5rkUt7LYozpIamHJJUrV05r1qxxMs4FHT9+3KfzIThwHHrfwAah2nooSzeVzqdjO7/Tmp1OJ/JNHIvedeY4LHNqv17r00mrVq2SJD300ENq3769KlasqH379mnfvn0OJ3VWsB+HSalZ//nvVfVS+ZyOE7SC/TiE7/DnYzEn5ffVy3ztuyQ1N8Y8KqmQTs/5HSOppDEmv2f09zpJezz779HpUeVfjTH5JZWQlHLW9jPOfs75tv+JtXaypMmSdOutt9omTZpc5o/kfWvWrJEv50Nw4Dj0viZOB/ATHIveVeGnn/RpZKRGz52r/Pnzq2fPnnrllVd0/fXXOx3NpwTzcZiYnKqYD8/MDc9ijQIHBfNxCN/iz8diTi519MnlvLC1NkxSmCR5Rn4HWms7GmMWS2ojaYGkzpLe8jxluef+l57HP7LWWs8I8zxjzEidXvCqhqSvdfp6wzWMMTfodOl9Uv+dSwwAAM5j06ZNGjp0qBYtWqRChQqpX79+GjhwoK699lqno8HHsEYBgECSk5Hf3DZI0gJjjFvSRknTPNunSZrtWdDqkE6XWVlrfzTGLNLphawyJfWx1mZJkjHmeUmrJOWTNN1am6OFuAAACEaJiYlyu9168803ddVVV2nQoEF66aWXdM011zgdDT6KNQoABJI8Kb/W2jWS1nhu79B/V2s+e5+Tktqe5/lDdXrF6P/dvlLSylyMCgBAwPnyyy/ldru1cuVKlSxZUq+99pr69eun0qVLOx0NPo7VngEEEidGfgEAQB745JNP5HK59OGHH6pMmTIaOnSo+vTpoxIlSjgdDX6E1Z4BBIqLll9jzF06ff3dyp79jSRrra3q3WgAAOBSWWu1evVqud1uffrppypXrpxiYmLUs2dPXXXVVU7HAwDAMTkZ+Z0m6SVJiZKyvBsHAABcDmutVqxYIbfbra+//loVK1bU2LFj1a1bNxUuXNjpeAAAOC4kB/scsda+a609YK1NOfPl9WQAAOCisrOztWTJEtWvX1/NmzfXgQMHNGnSJG3fvl1/b/6Upq/bo8TkVKdjAgDguJyM/H5sjBkhaZmk9DMbrbXfeC0VAAC4oKysLC1cuFBDhw7V5s2bVaNGDc2cOVMdOnRQgQIFlJicqo5Tz1yfNYTrswIAgl5Oyu8dnu+3nrXNSrov9+MAgPMSk1NZ2RQ+KyMjQ3PmzFFUVJS2bdum2rVra968eWrXrp3y5cv3n/24PisAAH920fJrrb03L4IAgC9gtAy+Kj09XTNnzlR0dLR27dqlevXqacmSJXr88ccVEvLXWUw5uT4rH/QAAILJecuvMeYpa+0cY0z/cz1urR3pvVgA4AxGy+Br0tLSNGXKFA0fPlx79uzR7bffrnHjxumxxx6TMea8z7vY9Vn5oAcAEGwuNPJb1PO9WF4EAQBfkJPRMiAvHD9+XPHx8YqJidH+/fv1j3/8QzNmzNADDzxwwdJ7tgtdn5UPegAAwea85ddaO8nz/fW8iwMAzrrYaBngbUeOHFFcXJxGjRqllJQUPfDAA1q4cKEaN26cq+/DBz0AgGBz0Tm/xpjrJI2TdJdn06eSXrDW/urNYABwua50HuOFRssAbzl06JDGjBmjsWPH6vDhw3rssccUHh6uO++80yvvxwc9AIBgk5PVnmdImiepref+U55tTb0VCgAuF/MY4W8OHDigkSNHavz48Tp+/Lgef/xxRUREqEGDBl5/bz7oAQAEk78uD/lXV1trZ1hrMz1fMyVd7eVcAHBZzjWPEfBFe/fuVf/+/VWlShUNHz5czZo10/fff69ly5blSfEFACDY5GTkN8UY85Sk+Z777SXx1yQAn8Q8Rvi6X375RcOGDdO0adOUmZmpp556SmFhYbrxxhudjgYAQEDLSfntotNzfkdJspK+kPSsN0MBwOVqWLmUXm1WW+/+sFeP1KnAKZ3wGdu3b1dUVJQSEhJkjNEzzzyjwYMHq2rVqk5HAwAgKFy0/FprkyU1z4MsAHDFEpNT9X8rftSpzGyt33VIN5YvdskF+EoXzALOtnXrVkVGRmrevHnKnz+/evXqpZdfflnXX3+909EAAAgqF53za4xJMMaUPOt+KWPMdO/GAoDLc6Vzfs8smBX7/k/qOHWdEpNTvZQUgW7Tpk164oknVKtWLS1dulQvvviidu7cqXHjxlF8AQBwQE4WvLrFWnv4zB1rbaqk+t6LBACX78yc33xGlzXnlwWzcKUSExPVsmVL3XLLLXr33Xc1ePBg7dq1SzExMapQocKf901O1fiPk/iQBQCAPJCTOb8hxphSntIrY0zpHD4PAPLclV67lAWzcLm+/PJLuVwuvfvuuypZsqT+/e9/q2/fvipduvQ59+eyXAAA5K2clNhYSV8aYxZ77reVFOm9SABwZa7k2qVXWp4ROHIy99taq08++UQul0sfffSRypYtq8jISPXp00fFixe/4Ouf6ywDjjcAALwnJwtezTLGbJB0n2dTK2vtZu/GAgDnXEl5RmC42KistVbvv/++3G63PvvsM5UvX16xsbHq2bOnihYtmqP34CwDAADy1kXLrzFmtrW2k6TN59gGAPACVpx21vlGZa21WrFihdxut77++mtVqlRJcXFx6tKliwoXLnxJ78FZBgAA5K2cnPZc++w7xph8khp6Jw4AIDfmglKer8z/jsreXqWUlixZIrfbre+++0433HCDJk+erM6dOys0NPSy34ezDAAAyDvnLb/GmDBJQyQVNsYclWQ8D52SNDkPsgFAwLpQOb3SuaAspHTlzozKfr5tv45t/lTPNBuozZs3q2bNmkpISFD79u31/W/HNeXzX/iAAQAAP3He8mutjZIUZYyJstaG5WEmAAhoFyunVzoXlIWUrlxGRoa+/+hNjYuMVFJSkmrXrq358+erbdu2ypcvHx8wAADghy408nuTtXarpMXGmAb/+7i19huvJgOAAHWxcuoPl2sK1NOq09PTNXPmTEVHR2vXrl2qX7++li1bphYtWigkJOQ/+/EBAwAA/udCc377S+qh05c6+l9W/139GQBwCXJSTn35ck2BOOqZlpamKVOmaPjw4dqzZ4/uuOMOxcXF6dFHH5Ux5i/7s1IzAAD+50KnPffwfL837+IAQODLi1V+vbmQUiCNeh4/flwTJ05UbGys9u/fr3vuuUczZ87U/ffff87SewYrNQMA4H9ycqmjQpJ6S7pbp0d8P5UUb6096eVsAHBZ/OGUXH9e5TcQRj2PHDmiuLg4jRo1SikpKWratKkiIiJ0zz335Pg1/Pl3CABAMMrJpY5mSTomaZznfgdJsyW19VYoALhcgXhKrq/x51HPQ4cOafTo0Ro7dqyOHDmiZs2aKTw8XI0aNXI6GgAA8LKclN861tpaZ93/2Biz2VuBAOBKBNIpub7M30Y9Dxw4oNjYWE2YMEHHjx9Xq1atFB4ergYN/rKeIwAACFA5Kb/fGGMaWWvXSZIx5g5JG7wbCwAuTyCckovc89tvv2nEiBGaNGmS0tPT9cQTT2jIkCGqU6eO09EAAEAeu9Cljjbp9BzfApK+MMb84rlfWdLWvIkHAJfGn0/JRe5JTk7WsGHDNG3aNGVlZalTp04KCwtTzZo1nY4GAAAccqGR32Z5lgIAcpG/nZKL3JOUlKSoqCjNmjVLxhg9++yzGjx4sG644QanowEAAIdd6FJHyXkZBACCiT+sSO1PtmzZosjISM2bN0+hoaF67rnn9PLLL6tSpUpORwMAAD4iJ3N+AQC5iBWpc8/3338vt9utJUuWqHDhwurfv78GDBig8uXLOx0tV/AhCQAAuYfyCwB5jBWpr9yGDRvkdrv11ltvqVixYgoLC9NLL72ksmXLOh0t1/AhCQAAuSvE6QAAEGzOrEidz+iyV6ROTE7V+I+TlJic6oWEvuuLL77QI488ottuu01r167V66+/ruTkZA0dOjSgiq907g9JAADA5WPkFwDy2JWuSB0sI4KJyalasf2UrqpySMd2fieXy6WPP/5YZcuWVVRUlHr37q3ixYs7HdNruGwXkHuYQgBAovwCgCOuZEXqYDhtOjE5VR2mfKnDP2/QhH+/pLRfN6tChQoaOXKkevTooaJFizod0eu4bBeQO4LlA0MAF0f5BQA/E+gjgtZaTZ69SLumx+rU3m3KV/xqte33mmYNG6xChQo5HS9PcdkuRuxw5YLhA0MAOUP5BQA/E6gjgtnZ2Vq6dKncbre+//57FShZXmUf7qvS9R/QoJ7/CLriC0bskDsC/QNDADlH+QUAPxRII4KZmZlauHChhg4dqi1btujGG29UQkKCbrzrES1es1HtH7gtYH5WXBpG7JAbAvUDQwCXjvILAHBERkaGZs+eraioKCUlJalOnTpasGCB2rRpo3z58kmS0naH8odqEGPEDrklkD4wBHD5KL8AgDyVnp6uGTNmKDo6WsnJyWrQoIGWLVumFi1aKCSEK/DhvxixAwDkJsovAPwPFtjxjhMnTmjKlCkaPny4fvvtNzVq1EgTJkzQI488ImOM0/HgoxixAwDkFsovAJyFBXZy37FjxzRx4kTFxsbqwIEDaty4sRISEnT//fdTegEAQJ7h/DIAOMu5Ftg5l8TkVI3/OEmJyal5nNB/HD58WG63W1WqVNGgQYNUt25drV27VmvWrNEDDzxwxcWX3wEAALgUjPwCwFlyssAOo8MXlpKSotGjR2vs2LE6evSomjVrpoiICN1xxx259h78DgAAwKWi/AIIOhea05uTBXa4/Mq57d+/X7GxsZowYYL++OMPtW7dWuHh4apfv36uvxe/AwAAcKkovwCCSk5GDC+2wA6XX/mzPXv2aMSIEZo8ebLS09P15JNPasiQIapdu7bX3pPfAXwFC+QBgP+g/AIIKrkxYsjlV05LTk5WdHS0pk+frqysLHXq1ElhYWGqWbOm19+b3wF8AaffA4B/ofwCCCq5NWIYzJdfSUpKUmRkpGbPni1jjLp06aJBgwbphhtuyNMcwfw7gG/g9HsA8C+UXwBBhRHDy7dlyxYNHTpU8+fPV2hoqHr37q2XX35Z1113ndPRAEdw+j0A+BfKLwDggr777ju53W4tXbpURYoUUf/+/TVgwACVL1/e6WiAo/gwDQD8C+UXQMC50AI0zNHLufXr18vtdmv58uUqXry4hgwZohdffFFly5Z1OhrgMzj9HgD8B+UXQEC5WLk9e47eKebondPnn38ul8ulVatWqVSpUnr99dfVr18/lSxZ0uloAAAAly3E6QAAkJvOtQDN2UoVCVW2PX07256+7w2Jyaka/3GSEpNTvfL6uc1aq48++kj33Xef7r77bn3zzTeKjo5WcnKyXn31VYpvgPK34xQAgCvByC+AgHKxBWhST5ySkWR1+tO/1BOncj2DP51aba3VqlWr5HK59MUXX6hChQoaOXKkevTooaJFizodD17kT8cpAAC5gfILIKBcbAGaRlXLqGAB767O6g+XP7HW6u2335bL5dKGDRtUqVIljR8/Xl26dFGhQoWcjoc84A/HKQAAuYnyCyDgXGgBmrxYndWXL3+SnZ2tpUuXyu126/vvv1fVqlU1ZcoUPf300woN9c4p4PBNvnycAgDgDZRfAEHH26uz+uLlTzIzM7VgwQJFRkZqy5YtuvHGGzVr1iy1b99e+fPzv4Jg5IvHKQAA3sRfPADgBb5y+ZNTp05pzpw5ioyM1Pbt21WnTh0tWLBAbdq0Ub58+ZyOB4f5ynEKAEBeoPwCQAA6efKkZsyYoejoaP3yyy9q0KCB3njjDTVv3lwhISz0HywudM1rAACCDeUXAALIiRMnNHnyZI0YMUK//fab7rzzTsXHx+vhhx+WMcbpeMhDrOYMAMCfUX4BIAAcO3ZMEyZMUGxsrA4ePKgmTZpo9uzZuvfeeym9QYrVnAEA+DPKLwD4scOHD2vcuHEaPXq0Dh06pIceekgRERG6++67nY4Gh7GaMwAAf0b5BQA/9Pvvv2v06NEaN26cjh49qubNmys8PFy3336709HgI1jNGQCAP6P8AoAf2bdvn2JjYzVx4kSdOHFCrVu3Vnh4uOrVq+d0NPggVnMGAOC/KL8A4Af27Nmj4cOHa/LkyTp16pTat2+vIUOGqFatWk5HOy9WGgYAAL6E8gsAlyGvit2uXbsUHR2tGTNmKDs7W506dVJYWJhq1KjhtffMDaw0DAAAfA3lFwAuUV4Uu23btikqKkqzZ89WSEiIunTpokGDBqlKlSq5+j7ewkrDAADA14R464WNMYWMMV8bY74zxvxojHnds/0GY8xXxpgkY8xCY0yoZ3tBz/0kz+NVznqtMM/2n4wxD521/WHPtiRjzGBv/SwAcLZzFbvcsnnzZnXs2FE33XST5s+fr969e2v79u2aOHGi3xRf6b8rDeczYqVhAADgE7w58psu6T5r7XFjTAFJnxlj3pXUX9Ioa+0CY0y8pK6SJnq+p1prqxtjnpQ0TNITxphakp6UVFvStZI+MMbU9LzHeElNJf0qab0xZrm1drMXfyYA8MolZL799lsNHTpUS5cuVZEiRTRgwAANGDBA5cqVy4XEeY+VhgEAgK/xWvm11lpJxz13C3i+rKT7JHXwbE+Q9G+dLr8tPLclaYmkOGOM8WxfYK1Nl7TTGJMk6cy1PJKstTskyRizwLMv5ReAV+VmsVu/fr1cLpfefvttFS9eXEOGDNGLL76osmXL5mJiZ7DSMAAA8CVenfNrjMknKVFSdZ0epd0u6bC1NtOzy6//396dh0dV3v0f/3yzYRBkiYKIGkTcUAGFaqxWrda1PkUpblBBH1lsUXGt/NKgbTMsAoIgESQsAgIiQgV93BUQLUENWFxQwWgQhaIQxMiSTOb+/ZGDTSEhhGTmTGber+viysyZs3xH7+vAJ/dyJLX2XreW9LUkOeeCZvaDpDRve16F01Y85uu9tp8dhq8BAPuobbB7++23FQgE9Morr6h58+b6+9//rjvuuENNmzatwyoBAACwR1jDr3OuTFInM2sq6R+STg7n9apiZv0k9ZOkli1basmSJX6UcUCKi4ujuj7EB9pheDjntGrVKs2cOVMffPCBmjZtqn79+qlr165q2LChPvjgA79LjDq0RUQD2iGiAe0Q0aI+t8WIrPbsnNtmZoslnSOpqZkleb2/R0v6xtvtG0nHSNpgZkmSmkjaUmH7HhWPqWr73tefJGmSJHXp0sVdeOGFdfG1wmLJkiWK5voQH2iHdcs5p5dfflmBQED//Oc/1apVK40ZM0b9+vVTw4YN/S4vqtEWEQ1oh4gGtENEi/rcFsO52vMRXo+vzCxV5QtTrZG0WFJ3b7fekhZ6rxd57+V9/qY3b3iRpBu81aCPk3SCpHclvSfpBG/16BSVL4q1KFzfBwBqKhQKaeHChTrrrLN05ZVXasOGDcrJyVFBQYHuuusugi8AAEAEhbPnt5Wk6d683wRJzzjnXjCzTyQ9bWYBSaskTfH2nyJppreg1VaVh1k55z42s2dUvpBVUNIAbzi1zOx2Sa9ISpQ01Tn3cRi/DwAckLKyMs2fP19DhgzR6tWr1bZtW02ePFk33XSTUlJS/C4PAAAgLoVztefVks6oZHuB/rNac8XtuyRdW8W5hkgaUsn2FyW9WOtiAaCG8guL9lntORgMas6cORo6dKg+/fRTnXzyyZo5c6ZuuOEGJSVFZJYJAAAAqsC/xgCghvILi9Rzcp5KgiGlJCXoyV5n6qOlz2vYsGEqKChQhw4dNDxnqhqe+EudckILgi8AAEAU4F9kAFBDeQVbVBIMqay0RN+vfE1XTuqjos3fqnPnznruued0VIfzdNPUd1Xy9TrlLC3QrD4ZPO8WAADAZ4RfAKihTq1SVZy/UFuXz1dZ8VZ16HyWZk+fossuu0xmppzF61QSDCnkpNJgSHkFWwi/AAAAPgvbas8AEGt+/PFHDR8+XNecf4a+ey1Xx7c7URNmP6cP3svT5ZdfLjOTJGW0TVNKUoISTUpOSlBG27R9zpVfWKScxeuUX1gU6a8BAAAQl+j5BYBqbNu2TePGjdOjjz6qoqIiXXbZZRo8eLDOPffcSvfvmBeaFQAAIABJREFUnN5Ms/pk7LMg1h57zxlmWDQAAED4EX4BoArff/+9xowZo/Hjx2v79u36n//5H2VlZemss/ZZsH4fndObVRlo98wZZlg0AABA5BB+AWAvmzZt0iOPPKIJEyZox44d+v3vf6+srCx17NixTs6/Z1h0aTBU5bBoAAAA1C3CLwB4NmzYoBEjRig3N1clJSW68cYblZmZqfbt29fpdaobFg0AAIC6R/gFEPe+/PJLDR8+XNOmTZNzTr169dKgQYN0wgknhO2a+xsWDQAAgLpH+AUQt9auXauhQ4dq5syZSkxM1K233qoHHnhAbdq08bs0AAAA1DHCL4C48/HHH2vo0KF6+umnlZKSottvv13333+/Wrdu7XdpAAAACBPCL4C48cEHHygQCGj+/Pk69NBDde+99+ree+9Vy5Yt/S4NAAAAYUb4BRDz3n33XQUCAT3//PM67LDDlJWVpbvuuktpaayyDAAAEC8IvwBi1ttvv63s7Gy9+uqrat68uf7+97/rjjvuUNOmTf0uDQAAABFG+AUQU5xzevPNN5Wdna2lS5eqRYsWevjhh/XHP/5RjRs39rs8AAAA+ITwCyAmOOf00ksvKRAIaPny5TrqqKP06KOPqm/fvmrYsKHf5QEAAMBnhF8A9VooFNKiRYsUCASUn5+v9PR0TZgwQTfffLMOOeQQv8sDAABAlEjwuwAAOBhlZWWaO3euOnXqpGuuuUbbtm3TlClTtHbtWt12220EXwAAAPwXwi+AeiUYDGrGjBk69dRTdcMNNygYDOqpp57Sp59+qv/93/9VcnKy8guLlLN4nfILi/wuFwAAAFGCYc8A6oWSkhLNmDFDw4YNU0FBgTp27Kh58+apW7duSkj4z+/x8guL1HNynkqCIaUkJWhWnwx1Tm/mY+UAAACIBvT8Aohqu3btUk5Ojtq1a6e+ffuqefPmWrhwoVatWqXu3bv/V/CVpLyCLSoJhhRyUmkwpLyCLT5Vvn/0TgMAAEQWPb8AotJPP/2kJ554QiNHjtSmTZt07rnnKjc3V5deeqnMrMrjMtqmKSUpQaXBkJKTEpTRNi2CVR8YeqcBAAAij/ALIKps375djz/+uEaPHq3vvvtOF110kWbPnq0LL7xwv6F3j87pzTSrT4byCrYoo21aVIbKynqno7HOcMsvLIrq/08AACC2EH4BRIWioiKNGzdOY8eOVVFRkS6//HINHjxYv/zlL2t8rs7pzcIepmoT3OpD73S40fsNAAAijfALwFfff/+9xowZo/Hjx2v79u3q2rWrsrKy1KVLF79Lq1Jtg1t96J0ON3q/AQBApBF+Afhi06ZNGjVqlCZMmKCdO3eqe/fuysrKUocOHfwurVp1Edwi0Tsdzej9BgAAkUb4BRBRX3/9tUaOHKnc3FyVlJSoR48eyszM1CmnnOJ3aQeM4FZ79H4DAIBII/wCiIgvv/xSw4cP17Rp0+ScU+/evTVo0CC1a9fO79JqjOBWN+K99xsAAEQW4RdAWH3++ecaNmyYZs6cqcTERPXp00cPPPCA0tPT/S6tVghuAAAA9QvhF0BYfPzxxxoyZIjmzp2rBg0a6I477tB9992n1q1b+10aAAAA4hDhF0CdWrVqlQKBgBYsWKBGjRrpvvvu0z333KOWLVv6XRoAAADiGOEXQJ1YsWKFAoGAXnjhBTVp0kSDBw/WwIEDlZbGYlAAAADwH+EXQK0sW7ZM2dnZeu2119S8eXMFAgENGDBATZs29bs0AAAA4GeEXwA15pzTG2+8oezsbL311ltq0aKFRowYoT/+8Y9q1KiR3+UBAAAA+yD8Ajhgzjm9+OKLCgQCysvLU+vWrTV27Fj17dtXqampfpcHAAAAVInwC6BaoVBICxcuVCAQ0MqVK5Wenq6JEyfq5ptvVoMGDfwuDwAAAKhWgt8FAIheZWVlevrpp9WxY0d169ZN27dv19SpU7V27Vr179+f4AsAAIB6g/ALYB/BYFDTp09X+/btdeONNyoUCmnWrFlas2aNbrnlFq3+tlg5i9cpv7DI71IBAACAA8KwZwA/Kykp0fTp0/XQQw9p48aN6tixo+bNm6du3bopIaH8d2X5hUXqOTlPJcGQUpISNKtPhjqnN/O5cgAAAGD/6PkFoJ07d2r8+PE6/vjj1a9fPzVp0kSLFi3SqlWr1L1795+DryTlFWxRSTCkkJNKgyHlFWzxsXIAAADgwNDzC8Sxn376SRMnTtSoUaO0adMmnXvuuZo8ebJSUlL061//utJjMtqmKSUpQaXBkJKTEpTRNi3CVQMAAAA1R/gF4tD27duVk5Oj0aNH6/vvv9dFF12kOXPm6IILLpCZacmSJVUe2zm9mWb1yVBewRZltE1jyDMAAADqBcIvEEeKioo0duxYjR07Vtu2bdMVV1yhrKws/fKXv6zReTqnNyP0AgAAoF4h/AJx4LvvvtPo0aOVk5OjH3/8UV27dlVWVpa6dOnid2mVyi8somcZAAAAdYrwC8SwjRs3atSoUZo4caJ27typa6+9Vn/5y1/UoUMHv0urEqtJAwAAIBwIv0CMyS8s0kt5H2n1izO0aO5MlZaWqkePHsrMzNQpp5zid3nVqmw1acIvAAAAaovwC8SQhctWqffATP3wr9clOXW99kaNCjykdu3aHfA58guL9MIXJWp8XFHYQuf+hjWzmjQAAADCgfALxIDPPvtMQ4cO1VNPzVLITI06XqZmGb/XJdf+qsbBt+fkPO0uDemFr/LCMuS4umHNrCYNAACAcCD8AvXYRx99pEAgoGeeeUaHHHKIrr+5r95tfK5carMqe0331+u6Z8ixU/iGHB/IsGZWkwYAAEBdI/wC9dDKlSsVCAT0j3/8Q40aNdKf//xn3XPPPWrRosV+w211va57hhyXlIZvyHFdDGtmNWgAAADUFOEXqEfy8vKUnZ2tF198UU2aNNGDDz6oO++8U2lp/wmQ++s1ra7Xdc+Q4zmvv6cbf/OLsATL2g5rrovVoAnPAAAA8YfwC9QDS5cuVSAQ0Ouvv660tDQNGTJEAwYMUJMmTWp0ngPpde2c3kw/Hp8S1lBYm2HNtV0Nmkcp1R+RWHwNAADED8IvEKWcc3r99deVnZ2tZcuWqWXLlho5cqRuu+02NWrU6KDOGQuLSdV22DSPUqofIrH4GgAAiC+EXyDKOOf0f//3fwoEAlqxYoVat26tcePGqU+fPkpNTa31+ev7YlK1DfA8Sql+iMTiawAAIL4QfoEoEQqF9NxzzykQCGjVqlVq06aNJk6cqJtvvlkNGjTwu7yoUpsAHwu93/EgEouvAQCA+EL4BXxWVlamZ555RkOGDNHHH3+sE044QdOmTVPPnj2VnJzsd3kxqb73fseDSCy+BgAA4gvhF/BJaWmpZs2apaFDh2rt2rVq3769Zs+ereuuu06JiYl+lwf4LhKLrwEAgPhB+AUibPfu3Zo+fbqGDRumr776Sp06ddKzzz6ra665RgkJCX6XBwAAAMQk/qUNRMjOnTv12GOPqV27durfv79atGih559/XitXrtTvf/97gi8AAAAQRvT8AmFWXFysiRMnatSoUfr3v/+t8847T1OmTNEll1wiM/O7PAAAACAuEH6BMNm+fbvGjx+v0aNHa8uWLbr44os1d+5cXXDBBX6XBgAAAMQdwi9Qx7Zu3aqxY8dq3Lhx2rZtm6644goNHjxY55xzjt+lAQAAAHGL8AvUkc2bN2vMmDEaP368iouLdfXVV+svf/mLunTp4ndpAAAAQNwj/AK1tHHjRo0cOVITJ07Url27dN111ykzM1MdOnTwuzQAAAAAHsIvcJDWr1+vhx9+WFOmTFEwGFSPHj2UmZmpk08+2e/SYl5+YZHyCrYoo20az4AFAADAASH8AjVUUFCgYcOGafr06ZKk3r17a9CgQTr++ON9riw+5BcWqefkPJUEQ0pJStCsPhkEYAAAAFSLB4sCB+jTTz9Vr169dOKJJ2rmzJnq16+f1q1bp9zcXIJvBOUVbFFJMKSQk0qDIeUVbPG7JAAAANQD9PwC1fjwww81ZMgQPfPMMzrkkEN055136r777tNRRx3ld2lxKaNtmlKSElQaDCk5KUEZbdP8LgkAAAD1AOEXqEJ+fr4CgYCee+45NWrUSA888IDuvvtutWjRwu/S4lrn9Gaa1SeDOb8AAACoEcIvsJfly5crEAjoxRdfVJMmTfTggw9q4MCBat68ud+lwdM5vRmhFwAAADVC+AU8S5cuVXZ2tt544w2lpaVpyJAhGjBggJo0aeJ3aQAAAABqifCLuOac02uvvaZAIKBly5apZcuWGjVqlPr3769GjRr5XR4AAACAOkL4RVxyzumFF15QIBDQu+++q9atW2vcuHHq06ePUlNT/S4PAAAAQB0L26OOzOwYM1tsZp+Y2cdmNtDb3tzMXjOztd7PZt52M7NxZrbOzFab2ZkVztXb23+tmfWusL2zmX3oHTPOzCxc3wexIRQKaf78+TrzzDP1u9/9Tps3b9YTTzyhL774QnfccQfBFwAAAIhR4XzOb1DSvc659pIyJA0ws/aSBkl6wzl3gqQ3vPeSdIWkE7w//SRNkMrDsqSHJJ0t6SxJD+0JzN4+fSscd3kYvw/qsbKyMs2ePVunn366unfvrp9++klPPvmkPv/8c/Xr108NGjTwu0QAAAAAYRS28Ouc2+icW+m9/lHSGkmtJXWVNN3bbbqkq73XXSXNcOXyJDU1s1aSLpP0mnNuq3OuSNJrki73PjvMOZfnnHOSZlQ4FyBJKi0t1bRp03TKKaeoZ8+eMjPNnj1ba9asUe/evZWcnOx3iQAAAAAiICJzfs2sjaQzJK2Q1NI5t9H7aJOklt7r1pK+rnDYBm/b/rZvqGR7Zdfvp/LeZLVs2VJLliw56O8SbsXFxVFdX31RUlKil19+WXPmzNGmTZvUrl07/e1vf9N5552nhIQELVu2zO8SoxrtENGCtohoQDtENKAdIlrU57YY9vBrZo0kzZd0l3Nue8Vpuc45Z2Yu3DU45yZJmiRJXbp0cRdeeGG4L3nQlixZomiuL9rt3LlTubm5GjFihL755hudddZZys3N1W9/+1sxJfzA0Q4RLWiLiAa0Q0QD2iGiRX1ui+Gc8yszS1Z58J3lnFvgbf63N2RZ3s/N3vZvJB1T4fCjvW372350JdsRh4qLizVq1Cgdd9xxGjhwoNq2batXXnlFeXl5uuqqqwi+AAAAQJwL52rPJmmKpDXOudEVPlokac+Kzb0lLaywvZe36nOGpB+84dGvSLrUzJp5C11dKukV77PtZpbhXatXhXMhTvzwww8aMmSI2rRpo/vvv1+nn366lixZorfeekuXXnqpL6E3v7BIOYvXKb+wyJfjayu/sEgvfFHi2/UBAACAcAjnsOdzJd0k6UMz+8DblilpuKRnzOxWSYWSrvM+e1HSlZLWSdoh6RZJcs5tNbNsSe95+/3dObfVe/0nSU9KSpX0kvcHcWDr1q0aO3asxo0bp23btunKK69UVlaWzjnnnFqfO7+wSHkFW5TRNk2d05tVf8Bex/acnKeSYEgpSQma1SejRueo7fG1tef6u0tDeuGrvIhfHwAAAAiXsIVf59zbkqrqdru4kv2dpAFVnGuqpKmVbH9f0mm1KBP1zObNmzV69Gjl5OSouLhY11xzjbKysnTmmWdWf/ABqG34zCvYopJgSCEnlQZDyivYctDHlxzE8bW15/pOB1c/AAAAEK3COucXqCvffvut7rnnHrVp00YjRozQVVddpdWrV2vBggV1FnylysPr3mavWK+bpqzQ7BXr9/kso22aEhPKf+eTkGDKaJtWo+s3a5iikLcEXMiVv4+kjLZpSklKUIKk5KSEGte/h99DtwEAAIC9ReRRR8DBWr9+vR5++GFNmTJFwWBQPXv2VGZmpk466aSwXC+jbZqSEhNUGgwpMXHf8Dd7xXpl/uNDSdKytd9LknqcfezPn3+26UeVlpWn19Iyp882/VijntOiHSUySU7lv5kq2lFSq+9TU53Tm2lWnwzNef093fibX1RZ+/6Ghvs9dBsAAACoDD2/iEpffPGF+vbtq3bt2ik3N1e9evXS559/runTp4ct+P7Muf/+WcFLH22s1Xtp/72iGW3T1CA5QYkmpSQffM9rbXROb6arjk/Zb/DtOTlPj7z6mXpOztvnexxI7zkAAAAQafT8Iqp8+umnGjp0qGbPnq2kpCT1799f999/v4499tjqD64DeQVbFAw5OUllIbfPnNcrTmv1c4/vnvcVVfd5db2ie3peD3bBrUiobl5zRts0JSWYSsucEg9i6DcAAAAQDoRfRIUPP/xQgUBA8+bNU2pqqgYOHKj77rtPrVq1qv7gOrRnzmtpMFTpnNeTjmyspERTsMwpKdF00pGN/+vzHmcfq/VbftLLH2/S5ace+V9DoqUDWxCrc3qz/Ybe2qxGXRfHV/ffSJJk3uBtnq8MAACAKEH4ha/y8/OVnZ2thQsXqnHjxho0aJDuvvtuHXHEEb7UU13Pa17BFoW8FalcJT3D+YVFenL5VyoJhvTk8q90yalH7tMrWm1w3I/8wiLdOGm5SsuckhNNc/qdE/FHKR3If6NgWfmK0WVlrBgNAACA6ED4hS+WL1+u7OxsvfTSS2ratKkeeugh3XnnnWrevLnfpe2357W6Ib3V9ezWdljz/JUbVOItqFVS5jR/5YaIPoppj+r+G9Um4AMAAADhQPhFxDjntHTpUmVnZ+vNN9/U4YcfrqFDh2rAgAE67LDD/C7vwO1nSO+BBL/qhjXv99LVvK9OJIJpfZi3DAAAgPhD+EXYOef06quvKhAI6O2331bLli01atQo3XbbbTr00EP9Lq9G8gq2qDRYPqQ3eJA9u7WZc9vtzKM1L3/Dz+G125lH1+j4SAXT2gR8AAAAIBwIvwgb55yef/55BQIBvffeezr66KP12GOP6dZbb1Vqaqrf5R2UZg1TtOcBSCHv/d72F/xqO+e2c3ozzelbu/BKMAUAAEA8IvyizoVCIS1YsECBQED/+te/dNxxx2nSpEnq1auXGjRo4Hd5tVK0o0QJJoWclGDl72viQObcVtczTHgFAAAAao7wizoTDAY1d+5cDRkyRGvWrNGJJ56oJ598Uj169FBycrLf5dWJ2s6Zre74uliNGQAAAMC+CL+otdLSUj311FMaOnSo1q1bp1NPPVVz5szRtddeq8TERL/Lq1O1nTN7II8JqovVmAEAAAD8N8IvDtru3bs1bdo0DR8+XIWFhTrjjDM0f/58XX311UpISPC7vLCp7bBjHhMEAAAARB7hFzW2Y8cO5ebmasSIEfr222919tlnKycnR1deeaWsksf/4MDxmCAAAAAgPAi/OGDFxcWaMGGCRo0apc2bN+v888/X9OnTdfHFFxN66xALWlWvNo+LAgAAQHwi/KJaP/zwg8aPH68xY8Zoy5YtuuSSS5SVlaXzzz/f79IQh1gUDAAAAAcjdidmota2bt2qBx98UOnp6crKylJGRoaWL1+uV199leDro/zCIuUsXqf8wiK/S/FFZYuCAQAAANWh5xf72Lx5sx555BE9/vjjKi4uVrdu3ZSVlaUzzjjD79LiHr2eLAoGAACAg0P4xc++/fZbjRw5Uk888YR2796t66+/XpmZmTrttNP8Lg0eHoXEomAAAAA4OIRfqLCwUA8//LCmTJmisrIy/eEPf1BmZqZOPPFEv0vDXuj1LMeiYAAAAKgpwm8cW7dunYYNG6YZM2bIzHTLLbfogQceUNu2bf0uDVWg1xMAAAA4OITfOLRmzRoNHTpUs2fPVnJysm677Tb9+c9/1jHHHON3aTgA9HoCAAAANUf4jSOrV69WIBDQs88+q9TUVN19992699571apVK79LAwAAAICwIvzGgffff1+BQEALFy5U48aNNWjQIN1999064ogj/C4NAAAAACKC8BvD3nnnHQUCAb388stq2rSp/vrXv+rOO+9Us2YMmQUAAAAQXwi/McY5p8WLFysQCGjx4sU6/PDDNWzYMP3pT3/SYYcd5nd5AAAAAOALwm+McM7plVdeUSAQ0DvvvKMjjzxSjzzyiPr3769DDz3U7/IAAAAAwFeE33rOOadFixYpEAjo/fff19FHH63HHntMt956q1JTU/0uDwAAAACiQoLfBeDghEIhzZs3T506ddLVV1+tLVu2aNKkSfriiy90++23E3wBAAAAoALCbz0TDAb11FNP6bTTTtN1112nXbt2afr06frss8/Ut29fpaSk+F0iAAAAAEQdwm89UVJSoqlTp+qUU07RTTfdpMTERD399NP65JNP1KtXLyUnJ/tdIgAAAABELeb8Rrndu3dr6tSpGj58uNavX68zzjhDCxYsUNeuXZWQwO8uAAAAAOBAEH6j1I4dO5Sbm6sRI0bo22+/VUZGhiZMmKArrrhCZuZ3eQAAAABQrxB+o8yOHTs0YsQIPfLII9q8ebMuuOACzZgxQxdddBGhFwAAAAAOEuE3iuTk5CgzM1Pbt2/XJZdcosGDB+tXv/qV32UBAAAAQL1H+I0iu3bt0qmnnqoxY8bo7LPP9rscAAAAAIgZhN8ocs8996hz584EXwAAAACoYywXHEWY0wsAAAAA4UH4BQAAAADEPMIvAAAAACDmEX4BAAAAADGP8AsAAAAAiHmEXwAAAABAzCP8AgAAAABiHuEXAAAAABDzCL8AAAAAgJhH+AUAAAAAxDzCLwAAAAAg5hF+AQAAAAAxj/ALAAAAAIh5hF8AAAAAQMwj/AIAAAAAYh7hFwAAAAAQ8wi/AAAAAICYR/gFAAAAAMQ8c875XUNEmdl3kgr9rmM/Dpf0vd9FIO7RDhEtaIuIBrRDRAPaIaJFtLfFdOfcEZV9EHfhN9qZ2fvOuS5+14H4RjtEtKAtIhrQDhENaIeIFvW5LTLsGQAAAAAQ8wi/AAAAAICYR/iNPpP8LgAQ7RDRg7aIaEA7RDSgHSJa1Nu2yJxfAAAAAEDMo+cXAAAAABDzCL9RxMwuN7PPzGydmQ3yux7EBzM7xswWm9knZvaxmQ30tjc3s9fMbK33s5nftSL2mVmima0ysxe898eZ2QrvvjjXzFL8rhGxz8yamtmzZvapma0xs3O4JyLSzOxu7+/lj8xsjpkdwj0R4WZmU81ss5l9VGFbpfc/KzfOa4+rzexM/yo/MITfKGFmiZJyJF0hqb2kG82svb9VIU4EJd3rnGsvKUPSAK/tDZL0hnPuBElveO+BcBsoaU2F9w9LGuOcayepSNKtvlSFeDNW0svOuZMldVR5m+SeiIgxs9aS7pTUxTl3mqRESTeIeyLC70lJl++1rar73xWSTvD+9JM0IUI1HjTCb/Q4S9I651yBc65E0tOSuvpcE+KAc26jc26l9/pHlf8jr7XK2990b7fpkq72p0LECzM7WtJvJU323pukiyQ96+1CO0TYmVkTSedLmiJJzrkS59w2cU9E5CVJSjWzJEkNJW0U90SEmXPuLUlb99pc1f2vq6QZrlyepKZm1ioylR4cwm/0aC3p6wrvN3jbgIgxszaSzpC0QlJL59xG76NNklr6VBbix6OS/iwp5L1Pk7TNORf03nNfRCQcJ+k7SdO8IfiTzexQcU9EBDnnvpE0StJ6lYfeHyTli3si/FHV/a/e5RfCLwBJkpk1kjRf0l3Oue0VP3Ply8KzNDzCxsyukrTZOZfvdy2Ie0mSzpQ0wTl3hqSftNcQZ+6JCDdvTmVXlf8y5ihJh2rfoahAxNX3+x/hN3p8I+mYCu+P9rYBYWdmySoPvrOccwu8zf/eM3TF+7nZr/oQF86V9Dsz+0rl0z4uUvm8y6bekD+J+yIiY4OkDc65Fd77Z1UehrknIpJ+I+lL59x3zrlSSQtUfp/kngg/VHX/q3f5hfAbPd6TdIK3il+Kyhc1WORzTYgD3rzKKZLWOOdGV/hokaTe3uvekhZGujbED+fc/3POHe2ca6Py+9+bzrmekhZL6u7tRjtE2DnnNkn62sxO8jZdLOkTcU9EZK2XlGFmDb2/p/e0Q+6J8ENV979Fknp5qz5nSPqhwvDoqGTlPdeIBmZ2pcrnvCVKmuqcG+JzSYgDZnaepGWSPtR/5lpmqnze7zOSjpVUKOk659zeCyAAdc7MLpR0n3PuKjNrq/Ke4OaSVkn6g3Nut5/1IfaZWSeVL7yWIqlA0i0q7zDgnoiIMbO/Sbpe5U9lWCWpj8rnU3JPRNiY2RxJF0o6XNK/JT0k6TlVcv/zfjEzXuVD8ndIusU5974fdR8owi8AAAAAIOYx7BkAAAAAEPMIvwAAAACAmEf4BQAAAADEPMIvAAAAACDmEX4BAAAAADGP8AsAwEEyszZm9lEVn002s/be68xaXOM2M+t1sMeHk5ndbGbj/a4DAIADwaOOAAA4SGbWRtILzrnTqtmv2DnXKCJFhYGZJTnngpVsv1lSF+fc7ZGvCgCAmqHnFwCA2kkys1lmtsbMnjWzhpJkZkvMrIuZDZeUamYfmNks77NeZrbazP5lZjO9bW3M7E1v+xtmdqy3/a9mdl+Fcz5sZu+a2edm9qu9izGzVmb2lne9j/bsY2aXmtlyM1tpZvPMrJG3/UEze8/bd5KZWYVrPWpm70saaGa/MLN/ejW/a2aNvUseZWYvm9laMxtRoY6qrjfczD7xvueosPwfAQCgEoRfAABq5yRJjzvnTpG0XdKfKn7onBskaadzrpNzrqeZnSopS9JFzrmOkgZ6uz4mabpzroOkWZLGVXG9JOfcWZLukvRQJZ/3kPSKc66TpI6SPjCzw71r/sY5d6ak9yXd4+0/3jn3C6/3OlXSVRXOleKc6+LVNlfSQK/m30ja6e3TSdL1kk6XdL2ZHVPV9cwsTdI1kk71vmegiu8IAECdI/wCAFA7Xzvn3vFePyXpvGr2v0jSPOfc95LknNu8TOd6AAACDElEQVTqbT9H0mzv9cz9nGeB9zNfUptKPn9P0i1m9ldJpzvnfpSUIam9pHfM7ANJvSWle/v/2sxWmNmHXm2nVjjXXO/nSZI2Oufe82reXmEY9BvOuR+cc7skfeKdt6rr/SBpl6QpZtZN0o4qviMAAHUuye8CAACo5/ZePCPci2ns9n6WqZK/x51zb5nZ+ZJ+K+lJMxstqUjSa865Gyvua2aHSHpc5fN2v/YC8yEVdvmpBvVUrMkqu553zbMkXSypu6TbVR64AQAIO3p+AQConWPN7BzvdQ9Jb1eyT6mZJXuv35R0rTcEWGbW3Nv+T0k3eK97Slp2MMWYWbqkfzvnciVNlnSmpDxJ55pZO2+fQ83sRP0n6H7vzcntXsVpP5PUysx+4R3f2Mz29wv0Sq/nXaOJc+5FSXerfFg2AAARQc8vAAC185mkAWY2VeXDfidUss8kSavNbKU373eIpKVmViZplaSbJd0haZqZ3S/pO0m3HGQ9F0q638xKJRVL6uWc+85bmXmOmTXw9styzn1uZrmSPpK0SeVDpvfhnCsxs+slPWZmqSqf7/ubqgqo6nqSfpS00OtxNv1n3jEAAGHHo44AAAAAADGPYc8AAAAAgJhH+AUAAAAAxDzCLwAAAAAg5hF+AQAAAAAxj/ALAAAAAIh5hF8AAAAAQMwj/AIAAAAAYh7hFwAAAAAQ8/4/6Qtz7w3mfCkAAAAASUVORK5CYII=\n", | |
"text/plain": [ | |
"<Figure size 1152x576 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"tags": [], | |
"needs_background": "light" | |
} | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"metadata": { | |
"id": "bmTbiin0gn98" | |
}, | |
"source": [ | |
"" | |
], | |
"execution_count": null, | |
"outputs": [] | |
}, | |
{ | |
"cell_type": "code", | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 301 | |
}, | |
"id": "8acRtSvGgCp8", | |
"outputId": "0265d715-7e59-49b3-a26d-6ecdb8a39340" | |
}, | |
"source": [ | |
"price = df_doge['DOGE'].to_numpy()\r\n", | |
"searches = df_trends['s_DOGE'].to_numpy()\r\n", | |
"\r\n", | |
"plt.plot(price, searches, '.')\r\n", | |
"plt.grid(True)\r\n", | |
"plt.xlabel('dogecoin searches')\r\n", | |
"plt.ylabel('dogecoin price')\r\n", | |
"plt.xlim([0, 0.01])\r\n", | |
"plt.ylim([0, 0.01])\r\n", | |
"\r\n", | |
"print('DOGECOIN')" | |
], | |
"execution_count": 43, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"text": [ | |
"DOGECOIN\n" | |
], | |
"name": "stdout" | |
}, | |
{ | |
"output_type": "display_data", | |
"data": { | |
"image/png": "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\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"tags": [], | |
"needs_background": "light" | |
} | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 333 | |
}, | |
"id": "zjKdJPKkfvck", | |
"outputId": "3c613648-7b37-4bbc-f2ef-f7f6960b54b5" | |
}, | |
"source": [ | |
"price = df_eth['ETH'].to_numpy()\r\n", | |
"searches = df_trends['s_ETH'].to_numpy()\r\n", | |
"\r\n", | |
"plt.plot(searches, price, '.')\r\n", | |
"plt.grid(True)\r\n", | |
"plt.xlabel('ethereum searches')\r\n", | |
"plt.ylabel('ethereum price')\r\n", | |
"\r\n", | |
"# prevent nans\r\n", | |
"mask = ~np.isnan(searches) & ~np.isnan(price)\r\n", | |
"# get magic numbers\r\n", | |
"slope, intercept, r_value, p_value, std_err = stats.linregress(searches, price)\r\n", | |
"\r\n", | |
"# plot linear regression line\r\n", | |
"x = np.linspace(-0.1, 0.1)\r\n", | |
"y = slope * x + intercept\r\n", | |
"plt.plot(x, y, 'k')\r\n", | |
"\r\n", | |
"print('ETHEREUM')\r\n", | |
"print('slope of line: ' + str(slope))\r\n", | |
"print('correlation: ' + str(r_value))" | |
], | |
"execution_count": 45, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"text": [ | |
"ETHEREUM\n", | |
"slope of line: 123.10928401443425\n", | |
"correlation: 0.824710478845216\n" | |
], | |
"name": "stdout" | |
}, | |
{ | |
"output_type": "display_data", | |
"data": { | |
"image/png": "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\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"tags": [], | |
"needs_background": "light" | |
} | |
} | |
] | |
} | |
] | |
} |
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment