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| { | |
| "cells": [ | |
| { | |
| "cell_type": "code", | |
| "execution_count": 1, | |
| "metadata": { | |
| "_kg_hide-input": true, | |
| "_kg_hide-output": true | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "# This Python 3 environment comes with many helpful analytics libraries installed\n", | |
| "# It is defined by the kaggle/python docker image: https://github.com/kaggle/docker-python\n", | |
| "# For example, here's several helpful packages to load in \n", | |
| "\n", | |
| "import numpy as np # linear algebra\n", | |
| "import pandas as pd # data processing, CSV file I/O (e.g. pd.read_csv)\n", | |
| "\n", | |
| "# Input data files are available in the \"../input/\" directory.\n", | |
| "# For example, running this (by clicking run or pressing Shift+Enter) will list all files under the input directory\n", | |
| "\n", | |
| "import os\n", | |
| "for dirname, _, filenames in os.walk('/kaggle/input'):\n", | |
| " for filename in filenames:\n", | |
| " pass\n", | |
| " #print(os.path.join(dirname, filename))\n", | |
| "\n", | |
| "# Any results you write to the current directory are saved as output." | |
| ] | |
| }, | |
| { | |
| "attachments": {}, | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "## COVID-19 - Understanding Reopening of Countries and States\n", | |
| "\n", | |
| "In any epidemic, $R_t$ is the measure known as the effective reproduction number. It's the number of people who become infected per infectious person at time $t$. The most well-known version of this number is the basic reproduction number: $R_0$ when $t=0$. However, $R_0$ is a single measure that does not adapt with changes in behavior and restrictions\n", | |
| "\n", | |
| "As a pandemic evolves, increasing restrictions (or potential releasing of restrictions) changes $R_t$. Knowing the current $R_t$ is essential. When $R\\\\gg1$, the pandemic will spread through a large part of the population. If $R_t<1$, the pandemic will slow quickly before it has a chance to infect many people. The lower the $R_t$: the more manageable the situation. In general, any $R_t<1$ means things are under control.\n", | |
| "\n", | |
| "The value of $R_t$ helps us in two ways. (1) It helps us understand how effective our measures have been controlling an outbreak and (2) it gives us vital information about whether we should increase or reduce restrictions based on our competing goals of economic prosperity and human safety. [Well-respected epidemiologists argue](https://www.nytimes.com/2020/04/06/opinion/coronavirus-end-social-distancing.html) that tracking $R_t$ is the only way to manage through this crisis.\n", | |
| "\n", | |
| "Yet, today, we don't yet use $R_t$ in this way. In fact, the only real-time measure I've seen has been for [Hong Kong](https://covid19.sph.hku.hk/dashboard). More importantly, it is not useful to understand $R_t$ at a national level. Instead, to manage this crisis effectively, we need a local (state, county and/or city) granularity of $R_t$.\n", | |
| "\n", | |
| "What follows is a solution to this problem at the US State level. It's a modified version of a solution created by [Bettencourt & Ribeiro 2008](https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0002185) to estimate real-time $R_t$ using a Bayesian approach. While this paper estimates a static $R$ value, here we introduce a process model with Gaussian noise to estimate a time-varying $R_t$.\n", | |
| "\n", | |
| "Thank you to [Frank Dellaert](http://www.twitter.com/fdellaert/) for suggestion of the process and to [Adam Lerer](http://www.twitter.com/adamlerer/) on guidance on how to implement the time-varying $R_t$.\n", | |
| "\n", | |
| "\n", | |
| "\n", | |
| "## Background\n", | |
| "\n", | |
| "I think it is important for everyone to understand the nature of the growth patterns of pandemics. There is an excellent Youtube video from [3Blue1Brown](https://www.youtube.com/channel/UCYO_jab_esuFRV4b17AJtAw) that offers a great explanation.\n", | |
| "\n", | |
| "### Understanding Growth Video Link\n", | |
| "\n", | |
| "https://www.youtube.com/watch?v=Kas0tIxDvrg&t=35s" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 2, | |
| "metadata": { | |
| "_kg_hide-input": true, | |
| "_kg_hide-output": true | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "#import IPython\n", | |
| "#IPython.display.IFrame(<iframe width=\"650\" height=\"400\" frameborder=\"0\" scrolling=\"no\" marginheight=\"0\" marginwidth=\"0\" title=\"2019-nCoV\" src=\"/gisanddata.maps.arcgis.com/apps/Embed/index.html?webmap=14aa9e5660cf42b5b4b546dec6ceec7c&extent=77.3846,11.535,163.5174,52.8632&zoom=true&previewImage=false&scale=true&disable_scroll=true&theme=light\"></iframe>)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "# Purpose of This Document\n", | |
| "\n", | |
| "This document will maintain a dynamic list of countries and states as they reopen local businesses. It will track the daily and logistic growth patterns to identify any flair-ups of the virus.\n", | |
| "\n", | |
| "In addition to the visual tracking of new cases, active cases, and growth rates, this notebook now incorporates the calculation of the effective reproduction number R. This is a key variable to track in determining when the situation is really safe to reopen public venues. We will track changes in R over time. As R becomes < 1, it is much safer to resume normal activities, because the virus will not spread.\n", | |
| "\n", | |
| "\n", | |
| "## Starting Observations\n", | |
| "\n", | |
| "As of April 22, 2020, there are about 6 European countries that have some form of reopening in place.\n", | |
| "* Denmark - reopened daycare and primary schools on April 14. April 20 saw reopening of hairdressers, tattooists, and psychologists.\n", | |
| "* Austria - April 14 non-essintial shops with floor space < 400 square meters. May 1, this extended to shopping centers.\n", | |
| "* Norway - April 20 - kindergartens. Primary and some high schools on April 27, along with universities, beauty salons. Domestic travel is allowed but discouraged.\n", | |
| "* Germany - April 20, shops < 800 square meters, along with car showrooms, bookstores, and bicycle shops. Schools on May 4th.\n", | |
| "* Switzerland - April 27 hairdressers, hardware stores, beauty salons and flower shops. Also non-essential medical care. \n", | |
| "* Sweden - Never closed down so it is included as a reference point.\n", | |
| "* Georgia - First US state to reopen. It includes hair and nail salons, barber shops, massage businesses and gyms.\n", | |
| "\n", | |
| "In the next two weeks, several US states are scheduled to reopen. They will be added as the reopening occurs.\n", | |
| "\n", | |
| "## Observation Log\n", | |
| "\n", | |
| "* 2020-04-26 - European reopening countries are all ok, although Germany's R value has moved above 1. Sweden still shows increasing cases; they probably have not reached an inflection point.\n", | |
| "\n", | |
| "## Change History\n", | |
| "\n", | |
| "* 2020-03-18 - Addressed a problem with some of the curve fitting not converging. Because some of the countries, like the US, had a long period of days with no increases of cases, the tracking start date.\n", | |
| "* 2020-03-18 - Added US \"hot\" states, NY, CA, and WA. Also added Germany, which has shown rapid recent growth.\n", | |
| "* 2020-03-19 - Added Colorado, per friend request. Also added France and 2 high density countries, Monaco and Singapore\n", | |
| "* 2020-03-20 - Removed Monaco, not enough cases\n", | |
| "* 2020-03-21 - Added Switzerland, New Jersey, Louisiana, and 12 'hot' European countries as a group\n", | |
| "* 2020-03-22 - Added United Kingdom and UK to hot European group\n", | |
| "* 2020-03-23 - Changed South Korea extract, due to a data change in source; moved Iran to the logistic curve section;\n", | |
| "* 2020-03-24 - Changed dataset source due to issues with corona-virus-report/covid_19_clean_complete.csv; United Kingdom is called UK on this dataset\n", | |
| "* 2020-03-27 - Added more US states: Massachusetts, Florida, Michigan, Illinois. Add new cases tracking graph. Removed Iran from logistic graph. \n", | |
| "* 2020-03-30 - Added Sweden to country tracking because they are not enforcing any social distancing rules. Also added India because of population size.\n", | |
| "* 2020-03-31 - Moved Italy, Spain, Hot European, and New York to the logistic plot.\n", | |
| "* 2020-04-02 - Added Washington to logistic plot. Corrected error with negative growth rates.\n", | |
| "* 2020-04-05 - Added Germany, California, Washington to logistic plot. Corrected error with negative growth rates.\n", | |
| "* 2020-04-06 - Added Louisiana, Massachusetts, Florida, and the rest of the world without China to logistic plots.\n", | |
| "* 2020-04-08 - Added United States to logistic plots.\n", | |
| "* 2020-04-22 - Converted this to a reopening tracker\n", | |
| "* 2020-04-22 - Added Rt tracking\n", | |
| "\n", | |
| "\n", | |
| "\n", | |
| "## About Coronavirus\n", | |
| "\n", | |
| "* Coronaviruses are **zoonotic** viruses (means transmitted between animals and people). \n", | |
| "* Symptoms include from fever, cough, respiratory symptoms, and breathing difficulties. \n", | |
| "* In severe cases, it can cause pneumonia, severe acute respiratory syndrome (SARS), kidney failure and even death.\n", | |
| "* Coronaviruses are also asymptomatic, means a person can be a carrier for the infection but experiences no symptoms\n", | |
| "\n", | |
| "## Novel coronavirus (nCoV)\n", | |
| "* A **novel coronavirus (nCoV)** is a new strain that has not been previously identified in humans.\n", | |
| "\n", | |
| "## COVID-19 (Corona Virus Disease 2019)\n", | |
| "* Caused by a **SARS-COV-2** corona virus. \n", | |
| "* First identified in **Wuhan, Hubei, China**. Earliest reported symptoms reported in **November 2019**. \n", | |
| "* First cases were linked to contact with the Huanan Seafood Wholesale Market, which sold live animals. \n", | |
| "* On 30 January the WHO declared the outbreak to be a Public Health Emergency of International Concern " | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "# Acknowledgements\n", | |
| "\n", | |
| "This effort was inspired by an excellent Youtube video from [3Blue1Brown](https://www.youtube.com/channel/UCYO_jab_esuFRV4b17AJtAw)\n", | |
| "\n", | |
| "* Video - https://www.youtube.com/watch?v=Kas0tIxDvrg&t=35s \n", | |
| "* Starting kernel - https://www.kaggle.com/imdevskp/covid-19-analysis-viz-prediction-comparisons\n", | |
| "* https://github.com/CSSEGISandData/COVID-19\n", | |
| "* https://arxiv.org/ftp/arxiv/papers/2003/2003.05681.pdf\n", | |
| "* https://github.com/k-sys/covid-19/blob/master/Realtime%20R0.ipynb\n", | |
| "\n" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "# Libraries" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "### Install" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 4, | |
| "metadata": { | |
| "_kg_hide-input": true, | |
| "_kg_hide-output": true | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "## install calmap\n", | |
| "#! pip install calmap" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "### Import Libraries" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 5, | |
| "metadata": { | |
| "_cell_guid": "b1076dfc-b9ad-4769-8c92-a6c4dae69d19", | |
| "_kg_hide-input": true, | |
| "_kg_hide-output": true, | |
| "_uuid": "8f2839f25d086af736a60e9eeb907d3b93b6e0e5" | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "# essential libraries\n", | |
| "import json\n", | |
| "import random\n", | |
| "from urllib.request import urlopen\n", | |
| "\n", | |
| "# storing and anaysis\n", | |
| "import numpy as np\n", | |
| "import pandas as pd\n", | |
| "\n", | |
| "# visualization\n", | |
| "import matplotlib.pyplot as plt\n", | |
| "import seaborn as sns\n", | |
| "import plotly.express as px\n", | |
| "import plotly.graph_objs as go\n", | |
| "import plotly.figure_factory as ff\n", | |
| "#import calmap\n", | |
| "import folium\n", | |
| "import plotly.io as pio\n", | |
| "pio.templates.default = \"plotly_dark\"\n", | |
| "from plotly.subplots import make_subplots\n", | |
| "\n", | |
| "# color pallette\n", | |
| "cnf = '#393e46' # confirmed - grey\n", | |
| "dth = '#ff2e63' # death - red\n", | |
| "rec = '#21bf73' # recovered - cyan\n", | |
| "act = '#fe9801' # active case - yellow\n", | |
| "\n", | |
| "# converter\n", | |
| "from pandas.plotting import register_matplotlib_converters\n", | |
| "register_matplotlib_converters() \n", | |
| "\n", | |
| "# hide warnings\n", | |
| "import warnings\n", | |
| "warnings.filterwarnings('ignore')\n", | |
| "\n", | |
| "# html embedding\n", | |
| "from IPython.display import Javascript\n", | |
| "from IPython.core.display import display\n", | |
| "from IPython.core.display import HTML" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "# Dataset" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 6, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "# importing datasets\n", | |
| "\n", | |
| "\n", | |
| "full_table = pd.read_csv('/kaggle/input/novel-corona-virus-2019-dataset/covid_19_data.csv',parse_dates = ['ObservationDate'])\n", | |
| "#full_table = pd.read_csv('../input/corona-virus-report/covid_19_clean_complete.csv', parse_dates=['Date'])\n", | |
| "#train = pd.read_csv('/kaggle/input/covid19-global-forecasting-week-1/train.csv')\n" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "## Most Recent Update" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 7, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "Last update of this dataset was 2020-04-26 02:31:18\n" | |
| ] | |
| } | |
| ], | |
| "source": [ | |
| "print ('Last update of this dataset was ' + str(full_table.loc[len(full_table)-1]['Last Update']))\n", | |
| "#print ('Last update of this dataset was ' + str(full_table.loc[len(full_table)-1]['Date']))" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 8, | |
| "metadata": { | |
| "_kg_hide-input": true | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "full_table.columns = ['SNo', 'Date', 'Province/State', 'Country/Region','Last Update', 'Confirmed', 'Deaths', 'Recovered']" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "# Preprocessing" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 9, | |
| "metadata": { | |
| "_kg_hide-input": true, | |
| "_kg_hide-output": true | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "### Cleaning Data\n", | |
| "\n", | |
| "# cases \n", | |
| "cases = ['Confirmed', 'Deaths', 'Recovered', 'Active']\n", | |
| "\n", | |
| "# Active Case = confirmed - deaths - recovered\n", | |
| "full_table['Active'] = full_table['Confirmed'] - full_table['Deaths'] - full_table['Recovered']\n", | |
| "\n", | |
| "# replacing Mainland china with just China\n", | |
| "full_table['Country/Region'] = full_table['Country/Region'].replace('Mainland China', 'China')\n", | |
| "\n", | |
| "# filling missing values \n", | |
| "full_table[['Province/State']] = full_table[['Province/State']].fillna('')\n", | |
| "full_table[cases] = full_table[cases].fillna(0)\n", | |
| "# cases in the ships\n", | |
| "ship = full_table[full_table['Province/State'].str.contains('Grand Princess')|full_table['Country/Region'].str.contains('Cruise Ship')]\n", | |
| "\n", | |
| "# china and the row\n", | |
| "china = full_table[full_table['Country/Region']=='China']\n", | |
| "us = full_table[full_table['Country/Region']=='US']\n", | |
| "skorea = full_table[full_table['Country/Region']=='South Korea']\n", | |
| "hot_europe = full_table[full_table['Country/Region'].isin(\n", | |
| " ['Italy,Spain','Germany','France','UK','Switzerland','Netherlands','Belgium','Austria','Norway','Sweden','Denmark','Portugal', 'Great Britain']) ]\n", | |
| "italy = full_table[full_table['Country/Region']=='Italy']\n", | |
| "iran = full_table[full_table['Country/Region']=='Iran']\n", | |
| "spain = full_table[full_table['Country/Region']=='Spain']\n", | |
| "france = full_table[full_table['Country/Region']=='France']\n", | |
| "uk = full_table[full_table['Country/Region']=='UK']\n", | |
| "switzerland = full_table[full_table['Country/Region']=='Switzerland']\n", | |
| "singapore = full_table[full_table['Country/Region']=='Singapore']\n", | |
| "sweden = full_table[full_table['Country/Region']=='Sweden']\n", | |
| "india = full_table[full_table['Country/Region']=='India']\n", | |
| "japan = full_table[full_table['Country/Region']=='Japan']\n", | |
| "row = full_table[full_table['Country/Region']!='China']\n", | |
| "#rest of China\n", | |
| "roc = china[china['Province/State'] != 'Hubei']\n", | |
| "germany = full_table[full_table['Country/Region']=='Germany']\n", | |
| "ca = us[us['Province/State'] == 'California']\n", | |
| "ny = us[us['Province/State'] == 'New York']\n", | |
| "wa = us[us['Province/State'] == 'Washington']\n", | |
| "co = us[us['Province/State'] == 'Colorado']\n", | |
| "nj = us[us['Province/State'] == 'New Jersey']\n", | |
| "la = us[us['Province/State'] == 'Louisiana']\n", | |
| "ma = us[us['Province/State'] == 'Massachusetts']\n", | |
| "fl = us[us['Province/State'] == 'Florida']\n", | |
| "mi = us[us['Province/State'] == 'Michigan']\n", | |
| "il = us[us['Province/State'] == 'Illinois']\n", | |
| "ga = us[us['Province/State'] == 'Georgia']\n", | |
| "\n", | |
| "# new countries\n", | |
| "\n", | |
| "denmark = full_table[full_table['Country/Region']=='Denmark']\n", | |
| "austria = full_table[full_table['Country/Region']=='Austria']\n", | |
| "norway = full_table[full_table['Country/Region']=='Norway']\n", | |
| "\n", | |
| "# latest\n", | |
| "full_latest = full_table[full_table['Date'] == max(full_table['Date'])].reset_index()\n", | |
| "china_latest = full_latest[full_latest['Country/Region']=='China']\n", | |
| "row_latest = full_latest[full_latest['Country/Region']!='China']\n", | |
| "\n", | |
| "# latest condensed\n", | |
| "full_latest_grouped = full_latest.groupby('Country/Region')['Confirmed', 'Deaths', 'Recovered', 'Active'].sum().reset_index()\n", | |
| "china_latest_grouped = china_latest.groupby('Province/State')['Confirmed', 'Deaths', 'Recovered', 'Active'].sum().reset_index()\n", | |
| "row_latest_grouped = row_latest.groupby('Country/Region')['Confirmed', 'Deaths', 'Recovered', 'Active'].sum().reset_index()\n", | |
| "def country_info (country, dt, reopen = None):\n", | |
| " \n", | |
| " by_date = country.groupby (['Date'])[['Confirmed', 'Deaths', 'Recovered', 'Active']].sum()\n", | |
| " by_date = by_date.reset_index()\n", | |
| " by_date = by_date[by_date.Date>=dt]\n", | |
| " #print (len(by_date))\n", | |
| "\n", | |
| " #print ('Rates for country/region : ' + pd.unique(country['Country/Region']))\n", | |
| "\n", | |
| " #print (by_date)\n", | |
| " \n", | |
| " \n", | |
| " # Add need fields\n", | |
| " \n", | |
| " by_date ['prior_confirmed'] = 0\n", | |
| " by_date ['prior_deaths'] = 0\n", | |
| " by_date ['prior_recovered'] = 0\n", | |
| " by_date ['daily_confirmed'] = 0\n", | |
| " by_date ['daily_deaths'] = 0\n", | |
| " by_date ['daily_recovered'] = 0\n", | |
| " p_confirmed = 0\n", | |
| " p_deaths = 0\n", | |
| " p_recovered = 0\n", | |
| " \n", | |
| " for i, row in by_date.iterrows():\n", | |
| " #print (by_date.loc[i])\n", | |
| " by_date.loc[i,'prior_confirmed'] = p_confirmed \n", | |
| " by_date.loc[i,'prior_deaths'] = p_deaths \n", | |
| " by_date.loc[i,'prior_recovered'] = p_recovered\n", | |
| " p_confirmed = by_date.loc[i,'Confirmed']\n", | |
| " p_deaths = by_date.loc[i,'Deaths']\n", | |
| " p_recovered = by_date.loc[i,'Recovered']\n", | |
| " \n", | |
| " \n", | |
| " \n", | |
| " by_date ['delta_confirmed'] = by_date.Confirmed - by_date.prior_confirmed\n", | |
| " by_date ['delta_deaths'] = by_date.Deaths - by_date.prior_deaths\n", | |
| " by_date ['delta_recovered'] = by_date.Recovered - by_date.prior_recovered\n", | |
| " \n", | |
| " return by_date\n", | |
| "\n", | |
| "us_by_date = country_info(us,'2020-03-04',)\n", | |
| "china_by_date = country_info(china,'2020-01-01',)\n", | |
| "hot_europe_by_date = country_info(hot_europe,'2020-02-20',) \n", | |
| "italy_by_date = country_info(italy,'2020-02-20',)\n", | |
| "skorea_by_date = country_info(skorea,'2020-02-17')\n", | |
| "iran_by_date = country_info(iran,'2020-02-23')\n", | |
| "spain_by_date = country_info(spain,'2020-02-23')\n", | |
| "row['Country/Region'] = 'Rest of World'\n", | |
| "row_by_date = country_info(row,'2020-02-17')\n", | |
| "roc_by_date = country_info (roc, '2020-01-01')\n", | |
| "germany_by_date = country_info (germany, '2020-02-23')\n", | |
| "uk_by_date = country_info (uk, '2020-02-23')\n", | |
| "france_by_date = country_info (france, '2020-02-23')\n", | |
| "switzerland_by_date = country_info(switzerland,'2020-02-23')\n", | |
| "singapore_by_date = country_info(singapore,'2020-01-23')\n", | |
| "sweden_by_date = country_info(sweden,'2020-02-23')\n", | |
| "norway_by_date = country_info(norway,'2020-02-23')\n", | |
| "austria_by_date = country_info(austria,'2020-02-23')\n", | |
| "denmark_by_date = country_info(denmark,'2020-02-23')\n", | |
| "india_by_date = country_info(india,'2020-02-23')\n", | |
| "japan_by_date = country_info(japan,'2020-01-23')\n", | |
| "\n", | |
| "ca['Country/Region'] = 'California'\n", | |
| "ny['Country/Region'] = 'New York'\n", | |
| "wa['Country/Region'] = 'Washington'\n", | |
| "ca_by_state = country_info(ca,'2020-03-09')\n", | |
| "ny_by_state = country_info(ny,'2020-03-09')\n", | |
| "wa_by_state = country_info(wa,'2020-03-09')\n", | |
| "co_by_state = country_info(co,'2020-03-09')\n", | |
| "nj_by_state = country_info(nj,'2020-03-09')\n", | |
| "la_by_state = country_info(la,'2020-03-09')\n", | |
| "ma_by_state = country_info(ma,'2020-03-09')\n", | |
| "fl_by_state = country_info(fl,'2020-03-09')\n", | |
| "mi_by_state = country_info(mi,'2020-03-09')\n", | |
| "il_by_state = country_info(il,'2020-03-09')\n", | |
| "ga_by_state = country_info(ga,'2020-03-09')" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
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| "dict1 = {'United States':us_by_date,\n", | |
| " 'California':ca_by_state,\n", | |
| " 'Washington':wa_by_state,\n", | |
| " 'New York':ny_by_state,\n", | |
| " 'Colorado':co_by_state,\n", | |
| " 'New Jersey': nj_by_state,\n", | |
| " 'Louisiana': la_by_state,\n", | |
| " 'Massachusetts': ma_by_state,\n", | |
| " 'Florida': fl_by_state,\n", | |
| " 'Michigan': mi_by_state,\n", | |
| " 'Illinois': il_by_state,\n", | |
| " 'Georgia': ga_by_state,\n", | |
| " 'China':china_by_date,\n", | |
| " 'Rest of world -w/o China':row_by_date,\n", | |
| " 'Hot European Countries':hot_europe_by_date,\n", | |
| " 'Italy':italy_by_date, \n", | |
| " 'Iran':iran_by_date,\n", | |
| " 'South Korea':skorea_by_date,\n", | |
| " 'Spain':spain_by_date,\n", | |
| " 'France':france_by_date,\n", | |
| " 'Germany':germany_by_date, \n", | |
| " 'United Kingdom':uk_by_date,\n", | |
| " 'Switzerland':switzerland_by_date,\n", | |
| " 'Sweden':sweden_by_date,\n", | |
| " 'Singapore':singapore_by_date,\n", | |
| " 'India':india_by_date,\n", | |
| " 'Japan':japan_by_date,\n", | |
| "\n", | |
| " 'Rest of China w/o Hubei': roc_by_date,\n", | |
| " }\n", | |
| "\n", | |
| "dict_reopen = {\n", | |
| " 'Sweden':sweden_by_date,\n", | |
| " 'Denmark': denmark_by_date,\n", | |
| " 'Austria':austria_by_date,\n", | |
| " 'Germany':germany_by_date, \n", | |
| " 'Norway': norway_by_date,\n", | |
| " 'Switzerland':switzerland_by_date,\n", | |
| " 'Georgia':ga_by_state,\n", | |
| " #'Minnesota':minnesota_by_state,\n", | |
| "\n", | |
| " }\n", | |
| "dict_reopen_dates = {\n", | |
| " 'Sweden':'2020-02-23', \n", | |
| " 'Denmark': '2020-04-14',\n", | |
| " 'Austria':'2020-04-14',\n", | |
| " 'Germany':'2020-04-20',\n", | |
| " 'Norway': '2020-04-20',\n", | |
| " 'Switzerland':'2020-04-27',\n", | |
| " 'Georgia':'2020-04-24',\n", | |
| "\n", | |
| " \n", | |
| "}\n", | |
| "\n", | |
| "skip_R_calc = ['Sweden',]\n", | |
| "\n", | |
| "dict_sigmoid = {\n", | |
| " 'China':china_by_date,\n", | |
| " 'South Korea': skorea_by_date,\n", | |
| " 'Rest of China w/o Hubei': roc_by_date,\n", | |
| " 'Rest of world -w/o China':row_by_date,\n", | |
| " 'Iran':iran_by_date,\n", | |
| " 'Hot European Countries':hot_europe_by_date,\n", | |
| " 'Italy':italy_by_date,\n", | |
| " 'Switzerland':switzerland_by_date,\n", | |
| " 'Spain':spain_by_date,\n", | |
| " 'Germany':germany_by_date,\n", | |
| " 'France':france_by_date,\n", | |
| " 'United States':us_by_date,\n", | |
| " 'New York':ny_by_state,\n", | |
| " 'Washington':wa_by_state,\n", | |
| " 'California':ca_by_state,\n", | |
| " 'Colorado':co_by_state,\n", | |
| " 'Louisiana': la_by_state,\n", | |
| " 'Massachusetts': ma_by_state,\n", | |
| " 'Florida': fl_by_state,\n", | |
| "\n", | |
| "}\n", | |
| "\n" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
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| "## Examining the Growth Curves\n", | |
| "\n", | |
| "These distributions start off exponentially, but eventually become a logistic curve. We can plot them both ways, and then fit a non-linear regression to the curve to determine the rate.\n", | |
| "\n", | |
| "First we look at mortality curves. The trend to what for is an increasing mortality curve. This means that medical treatments are not controlling the virus well. This is true in Italy, which has an older population and seemed to be slow to respond in social distancing efforts. Compare Italy to South Korea, which had an agressive testing and treatment program, we see that Italy has a severe virus growth situation.\n", | |
| "\n", | |
| "### What these curves show\n", | |
| "\n", | |
| "There are several groups of curves shown. They show:\n", | |
| "\n", | |
| "* Death and recovery rates for each region - these are on a log scale and show rates of death and recovery per confirmed cases \n", | |
| "* Growth rate over time - this shows the daily growth rate for each region \n", | |
| "* Exponential growth for each region - there are separate plots for confirmed cases, deaths, and recovered\n", | |
| "* Logistic growth curves - these are for only the countries that have reached an inflection point\n", | |
| "* Gaussian (Normal) curves - these are an approximation of the derivative of the logistic curve, which is the number of daily new cases over time \n", | |
| "\n", | |
| "The growth and normal curves also have the coefficents and errors for each coeffients. The second coefficient is the growth rate.\n", | |
| "\n", | |
| "You may observe several countries/regions where the daily arrival rates are to the right of the predicted curve. This is a good signal that the growth rate might be reaching an inflection point. Once this point is reached, the infection point, the growth rate will slow down, and the curve will be S-shaped, a sigmoid curve. This is a very good signal!\n", | |
| "\n", | |
| "The infection point generally indicates that 50 percent of the cummulative cases have been reached." | |
| ] | |
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| "text": [ | |
| "2020-02-23\n" | |
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\"#C8D4E3\", \"bordercolor\": \"rgb(17,17,17)\", \"borderwidth\": 1, \"tickwidth\": 0}, \"ternary\": {\"aaxis\": {\"gridcolor\": \"#506784\", \"linecolor\": \"#506784\", \"ticks\": \"\"}, \"baxis\": {\"gridcolor\": \"#506784\", \"linecolor\": \"#506784\", \"ticks\": \"\"}, \"bgcolor\": \"rgb(17,17,17)\", \"caxis\": {\"gridcolor\": \"#506784\", \"linecolor\": \"#506784\", \"ticks\": \"\"}}, \"title\": {\"x\": 0.05}, \"updatemenudefaults\": {\"bgcolor\": \"#506784\", \"borderwidth\": 0}, \"xaxis\": {\"automargin\": true, \"gridcolor\": \"#283442\", \"linecolor\": \"#506784\", \"ticks\": \"\", \"title\": {\"standoff\": 15}, \"zerolinecolor\": \"#283442\", \"zerolinewidth\": 2}, \"yaxis\": {\"automargin\": true, \"gridcolor\": \"#283442\", \"linecolor\": \"#506784\", \"ticks\": \"\", \"title\": {\"standoff\": 15}, \"zerolinecolor\": \"#283442\", \"zerolinewidth\": 2}}}, \"title\": {\"text\": \"Georgia Recovery and Mortality Rate Over Time\"}, \"width\": 1000, \"xaxis\": {\"anchor\": \"y\", \"domain\": [0.0, 1.0], \"title\": {\"text\": \"Date\"}}, \"yaxis\": {\"anchor\": \"x\", \"domain\": [0.0, 1.0], \"title\": {\"text\": \"Value\"}, \"type\": \"log\"}},\n", | |
| " {\"responsive\": true}\n", | |
| " ).then(function(){\n", | |
| " \n", | |
| "var gd = document.getElementById('5f011560-6c68-48c2-ba38-2dc06cd7118f');\n", | |
| "var x = new MutationObserver(function (mutations, observer) {{\n", | |
| " var display = window.getComputedStyle(gd).display;\n", | |
| " if (!display || display === 'none') {{\n", | |
| " console.log([gd, 'removed!']);\n", | |
| " Plotly.purge(gd);\n", | |
| " observer.disconnect();\n", | |
| " }}\n", | |
| "}});\n", | |
| "\n", | |
| "// Listen for the removal of the full notebook cells\n", | |
| "var notebookContainer = gd.closest('#notebook-container');\n", | |
| "if (notebookContainer) {{\n", | |
| " x.observe(notebookContainer, {childList: true});\n", | |
| "}}\n", | |
| "\n", | |
| "// Listen for the clearing of the current output cell\n", | |
| "var outputEl = gd.closest('.output');\n", | |
| "if (outputEl) {{\n", | |
| " x.observe(outputEl, {childList: true});\n", | |
| "}}\n", | |
| "\n", | |
| " })\n", | |
| " };\n", | |
| " });\n", | |
| " </script>\n", | |
| " </div>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "#import plotly.graph_objects as go\n", | |
| "def plots_by_country (country, country_name, start_dt):\n", | |
| "\n", | |
| " temp = country\n", | |
| "\n", | |
| " # adding two more columns\n", | |
| " temp['No. of Deaths to 100 Confirmed Cases'] = round(temp['Deaths']/temp['Confirmed'], 3)*100\n", | |
| " temp['No. of Recovered to 100 Confirmed Cases'] = round(temp['Recovered']/temp['Confirmed'], 3)*100\n", | |
| " # temp['No. of Recovered to 1 Death Case'] = round(temp['Recovered']/temp['Deaths'], 3)\n", | |
| " #print (temp)\n", | |
| "\n", | |
| " \n", | |
| " #print (temp.iloc[13]['Date'])\n", | |
| " last_date = temp.iloc[len(temp)-1]['Date']\n", | |
| " death_rate = temp[temp.Date ==last_date]['No. of Deaths to 100 Confirmed Cases']\n", | |
| " recovered_rate = temp[temp.Date ==last_date]['No. of Recovered to 100 Confirmed Cases']\n", | |
| " temp = temp.melt(id_vars='Date', value_vars=['No. of Deaths to 100 Confirmed Cases', 'No. of Recovered to 100 Confirmed Cases'], \n", | |
| " var_name='Ratio', value_name='Value')\n", | |
| "\n", | |
| " #str(full_table.loc[len(full_table)-1]['Date'])\n", | |
| " #fig = go.Figure()\n", | |
| " fig = px.line(temp, x=\"Date\", y=\"Value\", color='Ratio', log_y=True, width=1000, height=700,\n", | |
| " title=country_name + ' Recovery and Mortality Rate Over Time', color_discrete_sequence=[dth, rec])\n", | |
| " fig.add_annotation(\n", | |
| " x=start_dt,\n", | |
| " y=0,\n", | |
| " text=\"Reopen\")\n", | |
| " \n", | |
| " fig.show()\n", | |
| " return death_rate, recovered_rate\n", | |
| " \n", | |
| "rates = []\n", | |
| "for (key, value), (key1, start_dt) in zip(dict_reopen.items(),dict_reopen_dates.items()):\n", | |
| " print (start_dt)\n", | |
| " death_rate, recovered_rate = plots_by_country (value,key, start_dt)\n", | |
| "\n", | |
| " " | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "## New Daily Cases\n", | |
| "\n", | |
| "This graph shows only the new cases on a daily basis. As long as this curve is still rising, we haven't reached an inflection point." | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 12, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "def get_smoothed (value):\n", | |
| " return value.rolling(7,\n", | |
| " win_type='gaussian',\n", | |
| " min_periods=1,\n", | |
| " center=True).mean(std=2).round()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 13, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/html": [ | |
| "<div>\n", | |
| " \n", | |
| " \n", | |
| " <div id=\"df3e73c5-cda2-47ac-9799-f606270a0119\" class=\"plotly-graph-div\" style=\"height:800px; width:800px;\"></div>\n", | |
| " <script type=\"text/javascript\">\n", | |
| " require([\"plotly\"], function(Plotly) {\n", | |
| " window.PLOTLYENV=window.PLOTLYENV || {};\n", | |
| " \n", | |
| " if (document.getElementById(\"df3e73c5-cda2-47ac-9799-f606270a0119\")) {\n", | |
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| " Plotly.purge(gd);\n", | |
| " observer.disconnect();\n", | |
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| "\n", | |
| "// Listen for the removal of the full notebook cells\n", | |
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| "if (notebookContainer) {{\n", | |
| " x.observe(notebookContainer, {childList: true});\n", | |
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| "\n", | |
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| "\n", | |
| " })\n", | |
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| " </script>\n", | |
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| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| } | |
| ], | |
| "source": [ | |
| "def plots_of_daily (country, country_name, start_dt, attribute):\n", | |
| "\n", | |
| " temp = country\n", | |
| " #print (temp.columns)\n", | |
| " temp.columns = ['Date', 'Confirmed', 'Deaths', 'Recovered', 'Active', 'prior_confirmed',\n", | |
| " 'prior_deaths', 'prior_recovered', 'daily_confirmed', 'daily_deaths',\n", | |
| " 'daily_recovered', 'New Daily Confirmed', 'delta_deaths', 'delta_recovered',\n", | |
| " 'No. of Deaths to 100 Confirmed Cases',\n", | |
| " 'No. of Recovered to 100 Confirmed Cases']\n", | |
| " #print (temp.iloc[13]['Date'])\n", | |
| " last_date = temp.iloc[len(temp)-1]['Date']\n", | |
| "\n", | |
| " smoothed_daily = temp[attribute].rolling(7,\n", | |
| " win_type='gaussian',\n", | |
| " min_periods=1,\n", | |
| " center=True).mean(std=2).round()\n", | |
| "\n", | |
| " #str(full_table.loc[len(full_table)-1]['Date'])\n", | |
| " \n", | |
| "\n", | |
| " fig = px.line(temp, x=\"Date\", y=attribute, log_y=False, width=800, height=800, \n", | |
| " title=country_name + ' ' + attribute ,color_discrete_sequence=[dth, rec])\n", | |
| " fig.add_scatter(x=temp.Date, y=smoothed_daily, mode='lines')\n", | |
| " fig.add_annotation(\n", | |
| " x= start_dt,\n", | |
| " y=5,\n", | |
| " text=\"Reopen date\")\n", | |
| " \n", | |
| "\n", | |
| "\n", | |
| " fig.update_layout(showlegend=False)\n", | |
| " fig.show()\n", | |
| "\n", | |
| " \n", | |
| "rates = []\n", | |
| "for (key, value), (key1, start_dt) in zip(dict_reopen.items(),dict_reopen_dates.items()):\n", | |
| " \n", | |
| " plots_of_daily (value,key,start_dt, 'New Daily Confirmed',)\n", | |
| " plots_of_daily (value,key,start_dt, \"Active\",)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": null, | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "## Smoothing the Curve\n", | |
| "\n", | |
| "We observe that the curves for some countries are very choppy. This may because of differing reporting mechanisms for each country or state. So it is necessary to smooth this out. A 7 day Gaussian smoothing algorithm in the graphs above removes most of that choppy behavior.\n", | |
| "\n" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "Next, let's review some of the grow curves.\n", | |
| "\n" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 14, | |
| "metadata": { | |
| "_kg_hide-input": true, | |
| "_kg_hide-output": false | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "import pylab\n", | |
| "import datetime\n", | |
| "from scipy.optimize import curve_fit\n", | |
| "\n", | |
| "def sigmoid(x, x0, k, ymax):\n", | |
| " y = ymax / (1 + np.exp(-k*(x-x0)))\n", | |
| " return y\n", | |
| "\n", | |
| "def exp (x,a,b):\n", | |
| " y = a* np.exp(x*b)\n", | |
| " return y\n", | |
| "\n", | |
| "def gaussian(x, a, x0, sigma):\n", | |
| " return a*np.exp(-(x-x0)**2/(2*sigma**2))\n", | |
| "\n", | |
| "def growth_rate_over_time (f, country, attribute, title):\n", | |
| " ydata = country[attribute]\n", | |
| " \n", | |
| "\n", | |
| " xdata = list(range(len(ydata)))\n", | |
| "\n", | |
| " rates = []\n", | |
| " for i, x in enumerate(xdata):\n", | |
| " if i > 2:\n", | |
| "# print (xdata[:x+1])\n", | |
| "# print (ydata[:x+1])\n", | |
| "\n", | |
| " popt, pcov = curve_fit(f, xdata[:x+1], ydata[:x+1],)\n", | |
| " if popt[1] < 0:\n", | |
| " rates.append (0.0)\n", | |
| " else: \n", | |
| " rates.append (popt[1])\n", | |
| " rates = np.array(rates) \n", | |
| " pylab.style.use('dark_background')\n", | |
| " pylab.figure(figsize=(12,8))\n", | |
| " xdata = np.array(xdata)\n", | |
| " #pylab.grid(True, linestyle='-', color='0.75')\n", | |
| " pylab.plot(xdata[3:]+1, 100*rates, 'o', linestyle='solid', label=attribute)\n", | |
| " #if fit_good:\n", | |
| " # pylab.plot(x,y, label='fit')\n", | |
| " #pylab.ylim(0, ymax*1.05)\n", | |
| " #pylab.legend(loc='best')\n", | |
| " pylab.xlabel('Days Since Start')\n", | |
| " pylab.ylabel('Growth rate percentage ' + attribute)\n", | |
| " pylab.title(title + attribute, size = 15)\n", | |
| " pylab.show()\n", | |
| " \n", | |
| " \n", | |
| " \n", | |
| "\n", | |
| "def plot_curve_fit (f, country, attribute, title, start_dt, normalize = False, curve = 'Exp',):\n", | |
| " #country = country[10:]\n", | |
| " first_dt = min(country.Date)\n", | |
| " fmt = '%Y-%m-%d'\n", | |
| " #d1 = datetime.datetime.strptime(first_dt,fmt)\n", | |
| " d2 = datetime.datetime.strptime(start_dt,fmt)\n", | |
| " d = d2-first_dt\n", | |
| " print (d.days)\n", | |
| " fit_good = True\n", | |
| " ydata = country[attribute]\n", | |
| " #ydata = np.array(ydata)\n", | |
| " xdata = range(len(ydata))\n", | |
| " mu = np.mean(ydata)\n", | |
| " sigma = np.std(ydata)\n", | |
| " ymax = np.max(ydata) \n", | |
| " if normalize:\n", | |
| " ydata_norm = ydata/ymax\n", | |
| " else:\n", | |
| " ydata_norm = ydata\n", | |
| " #f = sigmoid\n", | |
| " try:\n", | |
| " if curve == 'Gauss': # pass the mean and stddev\n", | |
| " popt, pcov = curve_fit(f, xdata, ydata_norm, p0 = [1, mu, sigma])\n", | |
| " elif curve == 'Sigmoid':\n", | |
| " popt, pcov = curve_fit(f, xdata, ydata_norm, bounds = ([0,0,0],np.inf),maxfer=1000)\n", | |
| " else: \n", | |
| " popt, pcov = curve_fit(f, xdata, ydata_norm,)\n", | |
| " except RuntimeError:\n", | |
| " print ('Exception - RuntimeError - could not fit curve')\n", | |
| " fit_good = False\n", | |
| " else:\n", | |
| "\n", | |
| " fit_good = True\n", | |
| " \n", | |
| " if fit_good:\n", | |
| " if curve == 'Exp':\n", | |
| " if popt[1] < 0.9: # only print if we have a growth rate\n", | |
| " \n", | |
| " print (key + ' -- Coefficients for y = a * e^(x*b) are ' + str(popt))\n", | |
| " print ('Growth rate is now ' + str(round(popt[1],2)))\n", | |
| " print ('...This doubles in ' + str (round(0.72/popt[1] , 1) ) +' days')\n", | |
| " else:\n", | |
| " fit_good = False\n", | |
| " elif curve == 'Gauss':\n", | |
| " print (key + ' -- Coefficients are ' + str(popt))\n", | |
| " else: # sigmoid \n", | |
| " print (key + ' -- Coefficients for y = 1/(1 + e^(-k*(x-x0))) are ' + str(popt))\n", | |
| " \n", | |
| " if fit_good:\n", | |
| " print ('Mean error for each coefficient: ' + str(np.sqrt(np.diag(pcov))/popt))\n", | |
| " else:\n", | |
| " print (key + ' -- Could not resolve coefficients ---')\n", | |
| " x = np.linspace(-1, len(ydata), 100)\n", | |
| " if fit_good:\n", | |
| " y = f(x, *popt)\n", | |
| " if normalize:\n", | |
| " y = y * ymax\n", | |
| " plt.style.use('dark_background')\n", | |
| " pylab.figure(figsize=(15,12)) \n", | |
| " #pylab.grid(True, linestyle='-', color='0.75')\n", | |
| " pylab.plot(xdata, ydata, 'o', label=attribute)\n", | |
| " #if fit_good:\n", | |
| " pylab.plot(x,y, label='fit')\n", | |
| " pylab.axvline(x=d.days)\n", | |
| " pylab.ylim(0, ymax*1.05)\n", | |
| " pylab.legend(loc='best')\n", | |
| " pylab.xlabel('Days Since Start')\n", | |
| " pylab.ylabel('Number of ' + attribute)\n", | |
| " pylab.title(title + attribute, size = 15)\n", | |
| " pylab.show()\n" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "### Growth Rates of Confirmed Cases and Deaths \n", | |
| "\n", | |
| "There are three graphs in this section which show exponential growth rate of confirmed, deaths, and recovered. The head shows the current growth rate.\n", | |
| "\n", | |
| "You can use the rule of 72 to find the doubling rate. As of March 20th, the confirmed growth rate for the United States is around 0.35. That means that the number of confirmed cases will double in just 2 days. *( 72/35 = 2.06 )*" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 15, | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/plain": [ | |
| "2.06" | |
| ] | |
| }, | |
| "execution_count": 15, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| } | |
| ], | |
| "source": [ | |
| "round (72/35,2)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 16, | |
| "metadata": { | |
| "_kg_hide-input": true | |
| }, | |
| "outputs": [], | |
| "source": [ | |
| "if False:\n", | |
| " for (key, value), (key1, start_dt) in zip(dict_reopen.items(),dict_reopen_dates.items()):\n", | |
| "\n", | |
| " if key in [\"China\",'Rest of China w/o Hubei']:\n", | |
| " pass\n", | |
| " else:\n", | |
| " print (start_dt)\n", | |
| " plot_curve_fit (exp, value, 'Confirmed', key + ' - Growth Curve for ',start_dt,False,'Exp')\n", | |
| " plot_curve_fit (exp, value, 'Deaths', key + ' - Growth Curve for ',start_dt,False,'Exp')\n", | |
| " plot_curve_fit (exp, value, 'Recovered', key + ' - Growth Curve for ',start_dt,False,'Exp')" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "metadata": {}, | |
| "source": [ | |
| "\n", | |
| "## Logistic Growth Curves\n", | |
| "\n", | |
| "Here are logistic growth curves of the reopened regions. The line indicates when the reopening occurred." | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 17, | |
| "metadata": { | |
| "_kg_hide-input": true | |
| }, | |
| "outputs": [ | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "0\n", | |
| "Sweden -- Coefficients for y = 1/(1 + e^(-k*(x-x0))) are [50.41426863 0.10499938 1.24958314]\n", | |
| "Mean error for each coefficient: [0.00992294 0.02030134 0.02253082]\n" | |
| ] | |
| }, | |
| { | |
| "data": { | |
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\n", | |
| "text/plain": [ | |
| "<Figure size 1080x864 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "0\n", | |
| "Sweden -- Coefficients for y = 1/(1 + e^(-k*(x-x0))) are [54.39183054 0.14292944 1.31920054]\n", | |
| "Mean error for each coefficient: [0.01321888 0.03778055 0.04498512]\n" | |
| ] | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 1080x864 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "47\n", | |
| "Denmark -- Coefficients for y = 1/(1 + e^(-k*(x-x0))) are [38.32194675 0.11877852 1.06630958]\n", | |
| "Mean error for each coefficient: [0.00919083 0.02412467 0.01482694]\n" | |
| ] | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 1080x864 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "47\n", | |
| "Denmark -- Coefficients for y = 1/(1 + e^(-k*(x-x0))) are [40.80469309 0.16256678 1.00425353]\n", | |
| "Mean error for each coefficient: [0.00607664 0.02597588 0.01319497]\n" | |
| ] | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 1080x864 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "49\n", | |
| "Austria -- Coefficients for y = 1/(1 + e^(-k*(x-x0))) are [31.33909223 0.20369743 0.97014819]\n", | |
| "Mean error for each coefficient: [0.00432347 0.02300816 0.00573174]\n" | |
| ] | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 1080x864 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "49\n", | |
| "Austria -- Coefficients for y = 1/(1 + e^(-k*(x-x0))) are [43.59725134 0.16136546 1.03819723]\n", | |
| "Mean error for each coefficient: [0.00646202 0.02835759 0.01524945]\n" | |
| ] | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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n56fvv//e/viN96Rv376KjIy85fibZ5Az4uzZs7e8/9L1z2DXrl13zJtZPj4+2rVrl5KTk3XhwgVdu3ZNQUFBCg0NvWXsje9Q586dtWTJEo0YMcL+WM2aNe85y80OHTqkTp06ydXVVU2aNNHEiRO1Zs0a3X///Vk+owvA8TCzB8AhFC5cWG3atNGiRYv07LPPpmrvvPOOypYta99U5dSpUypWrJjKly9vP97Hxyfdc1+6dEnffvutli9fbv+HXFJSkqSM/+/9PxUsWFCurq6pCqgiRYqoXbt2tz0uLi5Ou3btsrfff//9rp5fkrZv364nn3xSlStXtveVL19eTz/9tH22ZufOnZKUKlehQoXUokWLDD/PqVOnNHHiRP3xxx+Zfv/Cw8Pl6el5x1sl3Gzz5s3avXu3xo8fryJFimT4uJtdu3ZNu3btUufOnVP1+/n5KSUlRb/++qu9b8uWLWrWrJkaNmyozZs32zO0bNlSTz75ZKpi716/N/+UmJioOXPmqH///nrkkUduebx48eL2JcyZ/d6nZfHixWratKnatGmjqlWravHixfbHDh06pFOnTqly5cqpvqM32o1iMKO2b9+uli1bpvoMn3rqKVWpUsX+/cwqffr0Uf369TV79mxJUkJCgrZt26YaNWqk+VpuzDa7u7vfMuvdo0ePVD9n1WeenJysTZs2adq0aSpfvny6hToA3IyZPQAOoX379ipcuLCCg4O1Y8eOVI9t3bpVw4cPV7du3RQeHq6ffvpJCQkJWrBggaZOnaoqVarI398/1TH9+vVTw4YN9dNPP+nMmTOqVq2aOnfubL8H19WrV3X06FH5+fnpwIEDSkxM1L59+zKc99KlS9qxY4c+/PBDXbp0SdeuXVNgYKAuXryoYsWK3fsbcpMWLVrccq+13377TV988YWGDRumtWvX6sMPP1RKSoqCgoJ0/vx5++zbwYMHtXLlSs2ePVtFixZVVFSUBg0apISEBF27di3d5wwJCVFMTIy2bdumixcvqlmzZqpWrZqGDRsm6XphIEmvv/66Fi9erISEBB04cOCW86xfv14//fSTFi1apFGjRmn37t0qV66cnnnmmVs+s5t1795dGzdu1O7du/Xxxx/rwIEDcnFxUbVq1dSlSxfFxcXd8X0bOXKk/f5rixcv1qOPPqrRo0dr7ty59uWT0vXC7u2339bly5e1e/duSdcLwOnTp0tSqsLkxIkTSkhIUK9evXTx4kVdvXr1llmqzBoxYoTq1aunrVu3avr06fbrA+vXr6+33npLEyZM0LZt2zL0vb+TNWvWKCEhQXPmzNHRo0cVERFhf8wYo8GDB+urr75SsWLFtHbtWiUlJenBBx9Uhw4d1KlTJ9lstgw/17Rp09S/f3+tW7dOEydOVJEiRTRhwgTt27dPy5Yty1Tum1WuXFn169dXgQIFdP/996t9+/by8/PT/Pnz9dVXX9nHDR06VOHh4bp27ZqWLl2qy5cv64EHHlDr1q01fPhwHT58WOvXr9fbb7+t7du368iRI+rRo4ceeuihVM93L5/5o48+qilTpui7777T0aNH5eHhoWHDhmnPnj2KjY296/cAQP5i+S4xNBqNdq9t1apV5tChQ+k+PmvWLBMTE2Pc3NyMJNOqVStz4MABEx8fbzZv3mwefvjhVDv1NWjQwKxevdqcPn3a2Gw2c/ToUTNhwgT78ZJMixYtzN69e43NZrPvLHljd8DWrVvfkuGfu3FWrVrVhIeHm7i4OPPnn3+aIUOGpLtj4t20tO5nd8PIkSONJFOlShWzfPlyc+nSJXP58mWzatUq89BDD6U6j4eHh1m8eLGJi4szUVFR5oMPPjCfffaZiYyMtI/55y6avXr1Mr/88ov5+++/TXx8vNm7d6955ZVXUp130KBB5vjx4+bq1at3vM/e5MmTzcmTJ+332RszZswdX7+Xl5eZOnWq+f33343NZjOXL182u3btMkFBQcbT09M+7nbvuZ+fn9m3b5+5cuWKOXnyZKr77N1oZcqUMcYYs27dOnufs7OzuXjxojly5Mgt5+zevbs5dOiQuXLlijEm9T3X/rnL46ZNm8ySJUvu+Frd3NzM4MGDTWRkpImPjzfx8fFmx44dZuDAgal21bzT9z6t7+k/21dffWWMMene67BVq1Zm8+bNJi4uzly8eNFERkaa0aNH3/K+3dzS+wzq1KljwsPDTXx8vImNjTXffPNNmvfZS+v3La12M5vNZk6cOGGWLVtm2rRpk+b4evXqmbVr15qLFy+auLg4c/DgQTN16lRTrFgxI13flXfBggXm77//Nn///beZO3eufafZmz/Lu/3MS5cubb788ktz5MgR+30LFy1aZCpWrJglf0fQaDTHb07/9wcAADLExcVFBw4c0Pbt29W7d2+r4wAAgHSwjBMAcFudOnVS+fLltX//fhUrVkx9+/ZVtWrV1LNnT6ujAQCA26DYAwDcVnx8vPr06aOHHnpILi4u2r9/v9q2bZvqei0AAJD7sIwTAAAAABwQt14AAAAAAAeUp5dx/vXXX/rzzz+tjgEAAIBcqEaNGpL+/+1eAEdUqVIllSlTJs3H8nSx9+eff6pu3bpWxwAAAEAutGnTJklSs2bNLE4CZJ/bXUPPMk4AAAAAcEAUewAAAADggCj2AAAAAMAB5elr9tLi4eGhgQMHqnLlynJycrI6Tq5hjNHx48c1Y8YMxcbGWh0HAAAAQDZzuGJv4MCB2rlzp0aNGqWUlBSr4+QaLi4uat26tQYOHKiRI0daHQcAAABANnO4ZZyVK1dWaGgohd4/pKSkaM2aNapcubLVUQAAAADkAIcr9pycnCj00pGSksLSVgAAACCfcLhiDwAAAABAsZctkpOTFRkZqQMHDmjPnj1655137npGrXjx4urfv7/956ZNm2rVqlVZFRUAAACAg8r3xZ63r4+Gr/tBU/Zu1fB1P8jb1+eez2mz2eTt7a3atWurRYsW8vX1vetNUUqUKKEBAwbccyYAAAAA+Uu+Lva8fX3kFxSokuXLycnZWSXLl5NfUGCWFHw3nDt3Tv369dObb74pSXJ2dtakSZO0Y8cO7d27V/369ZMkFS5cWBs2bNCuXbu0b98+tWvXTpI0YcIEVa1aVZGRkZo0aZIkqUiRIlqyZIn++9//6uuvv7Y/1/jx43Xw4EHt3btXkydPzrLXAAAAACDvcbhbL2SGb4C/3NzdU/W5ubvLN8BfkaFhWfY8x44dk7Ozs8qUKaP27dvr4sWLqlevntzc3LR161aFhYXp5MmT6tixoy5fvixPT09t27ZNK1euVGBgoGrXri1vb29J15dxent7q1atWjpz5oy2bt2qRo0a6bffflPHjh318MMPS7q+/BMAAABA/pWvZ/Y8ynplqv9e3Lhmz8fHRz179lRkZKS2b98uT09PVatWTU5OTho3bpz27t2rDRs2qEKFCvLySjvHjh07dPr0aRljtGfPHlWuXFmXLl1SYmKi5s2bp44dOyohISHLXwMAAACAvCNfz+zFRkWrZPlyafZnpSpVqiglJUV//fWXnJyc9NZbbyksLPXMYa9evVS6dGk9+eSTSk5O1rFjx1SoUKE0z3flyhX7n1NSUuTq6qqUlBTVq1dPzZs3V9euXfXmm2+qefPmWfo6AAAAAOQd+XpmLzQ4REk2W6q+JJtNocEhWfYcpUqVUkhIiD755BNJ0rp169S/f3+5ul6vs6tVq6b77rtPxYsX119//aXk5GQ9++yz9pufX758WUWLFr3j8xQuXFjFixfX2rVrNXDgQNWpUyfLXgMAAACAvCdfz+zduC7PN8BfHmW9FBsVrdDgkHu+Xs/d3V2RkZEqUKCAkpOT9dVXX2natGmSpHnz5qly5cravXu3nJycdO7cOXXo0EHffPONVq1apYiICO3Zs0f//e9/JUkxMTHaunWr9u/fr7Vr12rNmjVpPmfRokW1YsUKFSpUSE5OTnrnnXfu6TUAAAAAyNucJBmrQ9ytiIgI1a1bN1Xfl19+qZ49e1qUKPfj/QEAAPnFpk2bJEnNmjWzOAmQfdKqiW7I18s4AQAAAMBRUewBAAAAgAOi2AMAAAAAB0SxBwAAAAAOiGIPAAAAABwQxR4AAAAAOCCKvWzw1ltv6bffflNMTIyGDRsmSWrfvr0eeeQRi5MBAAAAyC/y9U3Vs8uAAQP0/PPP6/jx4/a+Dh06aPXq1fabpQMAAABAdmJmL4vNnj1bDz74oFauXKmBAwdq5syZatiwodq1a6fJkycrMjJSDz74oNUxAQAAADg4h57Zmz79NT1eJ2sLq717juqdd+al+3j//v3VqlUrNWvWTG3atJEk/frrr1q5cqVWr16tZcuWZWkeAAAAAEiLQxd7AAAAAHAzb18f+Qb4y6Osl2KjohUaHKLI0DCrY2ULhy72bjcDBwAAACB/8fb1kV9QoNzc3SVJJcuXk19QoCQ5ZMHHNXs55PLlyypatKjVMQAAAIB8yzfA317o3eDm7i7fAH+LEmUvir0csnjxYg0ZMkS7d+9mgxYAAADAAh5lvTLVn9c59DJOq1SpUkWStHDhQi1cuFCS9J///Ee1atWyMhYAAACQr8VGRatk+XJp9jsiZvYAAAAA5AuhwSFKstlS9SXZbAoNDrEoUfZiZg8AAABAnpTZnTVvPMZunHmUMUYuLi5KSUmxOkqu4+LiImOM1TEAAACAe3a3O2tGhoY5bHH3Tw63jPP48eNq3bq1XFxcrI6Sq7i4uKh169Y6fvy41VEAAACAe5bfdta8Gw43szdjxgwNHDhQL774opycnKyOk2sYY3T8+HHNmDHD6igAAADAPctvO2veDYcr9mJjYzVy5EirYwAAAADIRvltZ8274XDLOAEAAAA4vvy2s+bdcLiZPQAAAACOL7/trHk3KPYAAAAA5En5aWfNu8EyTgAAAAC4jQoVPFW/fg2rY2QaxR4AAAAApOGhh8rps8/e1JGjczVv/ttWx8k0lnECAAAAyBW8fX1yxTV4jz5aWYHvdZKfX2NdvZqieXPDNHnyDzme415R7AEAAACwnLevj/yCAu03Si9Zvpz8ggIlKccKvoYNH9Z77/upTZu6unQpQVMmL9eMGSsUHX0hR54/q1HsAQAAALCcb4C/vdC7wc3dXb4B/tle7DVtWlsjg7rr2Wcf1fnzl/TBiK80a9YaXbgQn63Pm90o9gAAAABYzqOsV6b6s0K9etU1esxLatHCW6dP/62BAZ9p3rwwJSRcybbnzEkUewAAAAAsFxsVrZLly6XZn9UefbSyRo3uofbtG+ivvy5o0DvzNHt2qK5cuZrlz2UlduMEAAAAYLnQ4BAl2Wyp+pJsNoUGh2TZc1SrVl7fLHpXkXuC1bRpbY0Y/pWqPthXM2ascLhCT2JmDwAAAEAucOO6vOzYjbNcuZIaNaqHevVursTEJE0Yv1RTpvyQ56/JuxOKPQAAAAC5QmRoWJZuxuLuXlCDB3fQ0GEvqkABV836ZLXGjVuic+cuZtlz5GYUewAAAAAcipOTk7p1e0bjJ/RSxYqltXTpVg0b+rmOHcv66/9yM4o9AAAAAA6jQYMamjb9NTVo8LB27fpDL/WYqi1bDlodyxIUewAAAADyvIoVS2vCxF7q1q2pzpz5W316z9CXX26UMcbqaJah2AMAAACQZ7m6umjQoA76cGQ3OTlJo0ct1qRJyxQfn2h1NMtR7AEAAADIkxo1qqnZIQNUu3Yl/fjjNg0M+EwnTpyzOlauQbEHAAAAIE8pWbKoJk7srVdf89GJE+fUvt1orVq1w+pYuQ7FHgAAAIBs4e3rk+X3zevZ8zlNnvKKPDyKaPKkZRo1ajFLNtNBsQcAAAAgy3n7+sgvKFBu7u6SpJLly8kvKFCS7qrgq169gkLmvKFnn31UW7f+pgH9Z2v//uNZGdnhOFsdAAAAAIDj8Q3wtxd6N7i5u8s3wD9T53F2dtbAge0VuSdYjz1WWf36ztQzTQIp9DKAmT0AAAAAWc6jrFem+tNStWo5Lfg8QE2a1NLKldvl//osRUXFZlVEh0exBwAAACDLxUZFq2T5cmn234mTk5PeeKO1JkzsraSkq+r58jR9/fWm7Ijp0FjGCQAAACDLhQaHKMlmS6yO/GIAACAASURBVNWXZLMpNDjktsdVqeKl8I1j9fHM1/Xzz/tVu9YbFHp3iZk9AAAAAFnuxiYsmdmN09//eU2a3EcpKdf06ivB+vzzDTkV1yFR7AEAAADIFpGhYRnaedPTs5jmL3hb7drVV1hYpPq+NlMnT3Jz9HtFsQcAAADAMk2b1tbX37yrUqWKKeDtzzRz5iqrIzkMrtkDAAAAkONcXJz10Uc9FL5xrOLibGrY4F0KvSzGzB4AAACAHFWxYml9s+hdNW5cU59/vkFvvzVH8fGJVsdyONk6s3fs2DHt27dPkZGRioiIkCR5eHgoLCxMv//+u8LCwlSiRAn7+ODgYB0+fFh79+6Vt7d3dkYDAAAAYIGOHRtqz96P9dhjldWj+xS9+kowhV42yfZlnM2aNZO3t7fq1q0rSQoMDFR4eLiqV6+u8PBwBQYGSpKef/55VatWTdWqVVO/fv00e/bs7I4GAAAAIIcUKOCqmTNf17If3tcff5zVE94B+vbbf1sdy6Hl+DV77du318KFCyVJCxcuVIcOHez9X375pSRp+/btKlGihMqWLZvT8QAAAABksXLlSurnf4/XG2+20dQpy9W40VAdPRpldSyHl63FnjFGYWFh2rlzp/r27StJ8vLyUlTU9Q82KipKZcqUkSRVqFBBJ0+etB976tQpVahQ4ZZz9u3bVxEREYqIiFCpUqWyMz4AAACAe9SoUU3t2j1Djz5aSZ07jdeQIQt09Wqy1bHyhWzdoKVRo0Y6e/asSpcurfXr1+t///tfumOdnJxu6TPG3NI3d+5czZ07V5Ls1wECAAAAyH3eeKO1pk1/TceORetfzUfot99OWB0pX8nWmb2zZ89Kks6dO6fly5erXr16io6Oti/PLFu2rP766y9J12fyKlasaD/2/vvv15kzZ7IzHgAAAIBsUKiQm75Y+I5mfuKvtWt3qV7dQRR6Fsi2Yu++++5TkSJF7H/28fHRgQMHtHLlSvXq1UuS1KtXL61YsUKStHLlSvXs2VOSVL9+fV28eNG+3BMAAABA3lCpUhn9snWSXnrpWY388Bt17DBWly4lWB0rX8q2ZZxeXl5avnz59SdxddWiRYu0bt06RURE6Pvvv9err76qEydOqHPnzpKk0NBQ+fr66o8//lBCQoL69OmTXdEAAAAAZINmzR7Td98Pk6urs9q1Ha3Q0J1WR8rXsq3YO3bsmOrUqXNLf0xMjP71r3+lecybb76ZXXEAAAAAZKNXXmmh2SEDdOjQaXXsMFZHjpy1OlK+l+O3XgAAAADgOJycnDRuXE/Nm/+2Nm7cp8aNhlLo5RLZuhsnAAAAAMd1YyMWP7/GmhOyVm++GaKUlGtWx8L/odgDAAAAkCHevj7yDfCXR1kvJcVEy9frvGrX8NK7g+dr2rQfrY6Hf6DYAwAAAHBH3r4+8gsKlJu7u0oWTFaHpwvqPpdyGjpuDYVeLsU1ewAAAADuyDfAX27u7nqgcJK6PHhRrk5GS44Xl3s9H6ujIR3M7AEAAAC4I4+yXnq4eKJ87o9T7BUX/fhnMV2+6iKPsl5WR0M6KPYAAAAA3FH1Auf0fEUXnYgroFUniirp2vVFgrFR0RYnQ3oo9gAAAADc1siR3dTmERf9Huuin84UU4pxkiQl2WwKDQ6xOB3SwzV7AAAAANLk5OSkjz/up5FB3fX5gvV6qWewzp2Okrl2TTFnzur7oAmKDA2zOibSwcweAAAAgFu4urpowecBeumlZpo6ZbmGDFkgSdq5ep3FyZBRFHsAAAAAUnF3L6jvvh+mNm3q6v33FmrChKVWR8JdoNgDAAAAYFe8eGGtXPWBGjV6RP6vz9Jnn/1kdSTcJYo9AAAAAJKkkiWLav2G0apV6wF16zpZS5b8YnUk3AOKPQAAAADy9Cym9RtG6+GH71f7dmO0bt1uqyPhHlHsAQAAAPncjUKvRo0Kat9ujNavj7Q6ErIAxR4AAACQj3l6FtOG8DGqXr28OrQfS6HnQCj2AAAAgHzq5kKvfbsx2rBhj9WRkIUo9gAAAIB8yNOzmMI3jlG1auXVru1ohYfvtToSspiz1QEAAAAA5KxSpSj08gOKPQAAACAfKVXq+tJNCj3HxzJOAAAAIJ8oXryw1oWNUrVq5dW2zSht3LjP6kjIRhR7AAAAQD7g7l5QK1d9oFq1HlD7dmMo9PIBij0AAADAwRUo4Kqly95To0aPqGuXSdwwPZ+g2AMAAAAcmLOzs778apCef/5J9es7U0uXbrU6EnIIG7QAAAAADmz27P7q0qWJhg5ZoHnzwqyOgxxEsQcAAAA4qAkTeqlvv1YaP+57TZmy3Oo4yGEs4wQAAAAc0NChL2rosE6a/Wmohg//6pbHvX195BvgL4+yXoqNilZocIgiQ5n5cyQUewAAAICD6devlSZM7K1Fi/6tN98MueVxb18f+QUFys3dXZJUsnw5+QUFShIFnwNhGScAAADgQF544Wl9Oru/Vq+OUO9e02WMuWWMb4C/vdC7wc3dXb4B/jkVEzmAYg8AAABwEA0a1NBXXw/Stm2H1MVvopKTU9Ic51HWK1P9yJso9gAAAAAHULVqOa1Y+YFOn/5bHdqPkc12Jd2xsVHRmepH3kSxBwAAAORxnp7FtCZ0pJycnOT7fJDOn7902/GhwSFKstlS9SXZbAoNvvX6PuRdbNACAAAA5GEFCxbQ8h+H64EHSutfzUfojz/O3vGYG5uwsBunY6PYAwAAAPIoJycnfbHwHTVuXFN+nSfoP//5b4aPjQwNo7hzcCzjBAAAAPKo8eN7qkuXJho6ZIGWLt1qdRzkMhR7AAAAQB70+uut7DdNnzJludVxkAtR7AEAAAB5zPPPP6lPZvlr9eoIvf32HKvjIJei2AMAAADykFq1HtDi74Zqz55j6tZ1klJSrlkdCbkUxR4AAACQR5QsWVQrVn6gy5dtat9utOLjE62OhFyM3TgBAACAPMDFxVmLvxuqChU89WzT93TmTIzVkZDLUewBAAAAecCUKa/oX/+qoz69Z2j79kNWx0EewDJOAAAAIJfr3bu5Aga214zpK7RwYbjVcZBHUOwBAAAAuVj9+jU0O+QNbdiwR0OGLLA6DvIQij0AAAAglypfvqR+WP6+Tp06r65d2HkTmcM1ewAAAEAuVLBgAf2wfLiKFCkknxYfKCbmstWRkMdQ7AEAAAC50JzP3lS9etXVscNYHTx4wuo4yINYxgkAAADkMgEB7dSz53Ma+eE3WrFim9VxkEcxswcAAADkIk8//YgmT3lFy5f/qjFjvsvwcd6+PvIN8JdHWS/FRkUrNDhEkaFh2ZgUuR3FHgAAAJBLlCpVTIu/G6rjx6PVp/cMGWMydJy3r4/8ggLl5u4uSSpZvpz8ggIliYIvH2MZJwAAAJALODs76+tv3lWpUsXUudMEXbqUkOFjfQP87YXeDW7u7vIN8M/qmMhDmNkDAAAAcoEPPugiHx9v9X1tpvbuPZapYz3KemWqH/kDM3sAAACAxVq08NYHH3bVF1+Ea/78zC+7jI2KzlQ/8geKPQAAAMBCFSp46utvBuvgwRN6Y8DsuzpHaHCIkmy2VH1JNptCg0OyIiLyKJZxAgAAABZxdXXR4u+GqlChAurcaYJstit3dZ4bm7CwGyduRrEHAAAAWGTChF5q1KimuvhN1O+/n76nc0WGhlHcIRWWcQIAAAAW6NixoQYN7qiZH6/SkiW/WB0HDohiDwAAAMhhDz5YVgs+D9D27Yf07rsLrI4DB8UyTgAAACAHubq66JtF7+raNaMufhN19WpymuO8fX24Bg/3hGIPAAAAyEFBQd1Vv34Nde40XidOnEtzjLevj/yCAu03Si9Zvpz8ggIliYIPGcYyTgAAACCHNG1aW4HvddK8ueu0bNl/0h3nG+BvL/RucHN3l2+Af3ZHhAOh2AMAAABygIdHEX319WAdPnxGAwfOvf3Ysl6Z6gfSQrEHAAAA5IDP5r6lMmWKq3u3KUpIuP399GKjojPVD6SFYg8AAADIZq++6qMXX3xaw9//SpGRR+44PjQ4REk2W6q+JJtNocEh2RURDogNWgAAAIBsVKPG/ZoR3Ffr10dq2rQfM3TMjU1Y2I0T94JiDwAAAMgmbm6u+mbRu0pIuKJePafLGJPhYyNDwyjucE8o9gAAAIBsMnZsTz3xRFW1aztKUVGxVsdBPsM1ewAAAEA2aNHCW4Pf7ahZn6zW6tURVsdBPkSxBwAAAGSxkiWL6ouFA3XgwJ8aMuRzq+Mgn2IZJwAAAJDFPpnlL0/Ponq+1UglJiZZHQf5FMUeAAAAkIU6d26srl2f0fD3v9S+fcetjoN8jGWcAAAAQBbx8iqhWZ/21/bthzRp0jKr4yCfY2YPAAAAyCIhc95Q4cIF1bvXDKWkXEv1mLevD/fNQ46i2AMAAACywMsvN1P79g00eNA8HTp0KtVj3r4+8gsKlJu7uySpZPly8gsKlCQKPmQblnECAAAA9+j++0sp+ON+2rz5gIKDV93yuG+Av73Qu8HN3V2+Af45FRH5EMUeAAAAcI/mzntLrq4ueqVPsK5du3bL4x5lvdI8Lr1+ICtQ7AEAAAD3oF+/VmrZ8gkNHfK5jh6NSnNMbFR0pvqBrECxBwAAANylKlW8NGXqKwoLi1RIyNp0x4UGhyjJZkvVl2SzKTQ4JLsjIh9jgxYAAADgLjg5OWnB5wOVknJNr7368W3H3tiEhd04kZMo9gAAAIC78PbbbdW0aW316T1Dp06dv+P4yNAwijvkKJZxAgAAAJlUpYqXxo7rqdWrI7RwYbjVcYA0UewBAAAAmRQy5w0lJ6eov/8sq6MA6WIZJwAAAJAJPXs+pxYtvDWg/6c6ffpvq+MA6WJmDwAAAMigMmVKaNr017Rly0HNmfOT1XGA26LYAwAAADJoRnBfFS5cSP36fiJjjNVxgNui2AMAAAAyoE2buura9RmNGb1Yhw6dsjoOcEcUewAAAMAdFC3qrk9nD9C+fcc0adIPVscBMoQNWgAAAIA7mDCht8qV89CLL4zT1avJVscBMoSZPQAAAOA2GjWqqf4DfPVx8CpFRBy2Og6QYRR7AAAAQDoKFiygufPe0rFj0frgg6+tjgNkCss4AQAAgHQMH+6nhx++Xy19PlRCwhWr4wCZwsweAAAAkIbatStpWGAnLVwYrvXrI62OA2QaxR4AAADwD05OTpodMkAXLsRr8KD5VscB7grLOAEAAIB/6N27uRo1qqk+vWcoJuay1XGAu8LMHgAAAHCTkiWLauKkPtqy5aC+/HKj1XGAu0axBwAAANxkwoReKlGisAb0/1TGGKvjAHeNYg8AAAD4Pw0a1NBrfVtqxvQVOnjwhNVxgHvCNXsAAACAJBcXZ306e4BOnjynjz769rZjvX195BvgL4+yXoqNilZocIgiQ8NyKCmQMRR7AAAAgKQ332yjOnUe1IsvjFN8fGK647x9feQXFCg3d3dJUsny5eQXFChJFHzIVVjGCQAAgHyvfPmSGjW6h0JDd2r58l9vO9Y3wN9e6N3g5u4u3wD/7IwIZBrFHgAAAPK9qdNek6uri956M+SOYz3KemWqH7AKxR4AAADytRYtvNWlSxONH7dEx45F33F8bFTaY9LrB6xCsQcAAIB8q2DBAvpklr9+//20Jk1alqFjQoNDlGSzpepLstkUGnznWUEgJ7FBCwAAAPKtoUNfVLVq5eXT4gMlJSVn6Jgbm7CwGydyO4o9AAAA5EtVqnjpvfc7a/HizdqwYU+mjo0MDaO4Q67HMk4AAADkS1Omvqrk5BS9O3i+1VGAbEGxBwAAgHznX/+qo44dG2r8uCU6cybG6jhAtqDYAwAAQL7i6uqiGcF9deTIWU2b9qPVcYBsk+3FnrOzs3bv3q1Vq1ZJkipXrqxt27bp999/1+LFi1WgQAFJkpubmxYvXqzDhw9r27ZtqlSpUnZHAwAAQD40YICvatZ8QIMHzdeVK1etjgNkm2wv9gICAvTf//7X/vPEiRM1ffp0Va9eXbGxsXr11VclSa+++qpiY2NVrVo1TZ8+XRMnTszuaAAAAMhnSpUqpqCPumvdut1auXK71XGAbJWtxV6FChXUunVrzZs3z9733HPPaenSpZKkhQsXqkOHDpKk9u3ba+HChZKkpUuXqnnz5tkZDQAAAPnQ2LEvq3DhQnpn4FyrowDZLluLvRkzZmjo0KG6du2aJMnT01MXLlxQSkqKJOnUqVOqUKGCpOuF4cmTJyVJKSkpunjxojw9PW85Z9++fRUREaGIiAiVKlUqO+MDAADAgXh7V9Wrr/lo1idr9L//nbI6DpDtsq3Ya926tf766y/t3r3b3ufk5HTLOGPMHR+72dy5c1W3bl3VrVtX58+fz8LEAAAAcGTBH/fT+fOX9NFH31odBcgR2XZT9UaNGqldu3by9fVVoUKFVKxYMc2YMUMlSpSQi4uLUlJSdP/99+vMmTOSrs/yVaxYUadPn5aLi4uKFy+umBi2wQUAAMC969atqRo3rqm+r83UxYvxVscBckS2zey9//77qlixoqpUqaKuXbtq48aNeumll7Rp0yZ16tRJktSrVy+tWLFCkrRy5Ur16tVLktSpUydt3Lgxu6IBAAAgHylcuJAmTe6jnTsP6/PPN1gdB8gxOX6fvWHDhmnQoEE6fPiwPD09NX/+fEnS/Pnz5enpqcOHD2vQoEEKDAzM6WgAAABwQO+911kVKngq4O3P7HtJAPmBk6RbL4zLIyIiIlS3bl2rYwAAACAX2rRpkwoVclMd72gtWfKLer48Ld2x3r4+8g3wl0dZL8VGRSs0OESRoWE5mBa4O7eribLtmj0AAADAalWrltXVq6cVOOyLdMd4+/rILyhQbu7ukqSS5cvJL+j6KjMKPuRlOb6MEwAAAMgJxYsXVqnSxTVh/FKdOZP+xn++Af72Qu8GN3d3+Qb4Z3dEIFtR7AEAAMDhODk56aGHyulKYpKmT19x27EeZb0y1Q/kFRR7AAAAcDg9ejyrIkXddexYtGy2K7cdGxsVnal+IK+g2AMAAIBDcXcvqLHjXtblSwmKjr5wx/GhwSFKstlS9SXZbAoNDsmuiECOYIMWAAAAOJRBg9qrYsXS2hMZlaHxNzZhYTdOOBqKPQAAADgML68SGhbYScuX/6qSHi0yfFxkaBjFHRwOyzgBAADgMEaN6qGCBQto2NDPrY4CWI5iDwAAAA6hVq0H9MqrLfTprDX644+zVscBLEexBwAAAIcwecorunTJplGjFlsdBcgVKPYAAACQ57Vs+YRatXpSY0YvVmxsnLx9fVTpsVqq+pS3hq/7Qd6+PlZHBHIcG7QAAAAgT3NxcdbkKa/oyJGzmjVrjbx9feQXFCjXggUlSSXLl5NfUKAksQkL8hVm9gAAAJCnvfJKC9WuXUnDhn6hpKRk+Qb4y83dPdUYN3d3+Qb4W5QQsAbFHgAAAPKsIkXcNWp0D23ZclA//PAfSZJHWa80x6bXDzgqij0AAADkWUOGvCAvLw+9O3i+vS82KjrNsen1A46KYg8AAAB5kpdXCQ0a3EGLF29WRMRhe39ocIiSbLZUY5NsNoUGh+R0RMBSbNACAACAPOnDD7vJzc1VH4z4OlX/jU1Yunz1tVzd3BRz5qxCg0PYnAX5DsUeAAAA8pxq1cqrb7+W+mzOTzpy5NYbqEeGhunPfQclSWNbvpDT8YBcgWWcAAAAyHNGj3lZiYlJGj2aG6gD6aHYAwAAQJ5St241+fk11rSpPyo6+oLVcYBci2IPAAAAecqEib31118XNHXqcqujALka1+wBAAAgz2jZ8gk1a/aY3n5rji5ftt35ACAfY2YPAAAAeYKTk5PGT+ilo0ejNGfOT1bHAXI9ZvYAAACQJ3Tr9ozq1HlQ3btN1tWryVbHAXI9ZvYAAACQ67m5uWr0mJe1e/cRfffdFqvjAHkCM3sAAADI9fz9n1eVKl56vd8nMsZYHQfIE5jZAwAAQK5WrNh9GvFBV23YsEcbNuyxOg6QZ1DsAQAAIFd7992OKlWqmN4LXGh1FCBPodgDAABAruXlVUKDh7yo/WevqduChRq+7gd5+/pYHQvIE7hmDwAAALnW9M/eVcGCBbTzsoecnJ1Vsnw5+QUFSpIiQ8MsTgfkbszsAQAAIFd64IHS6tTmMR2MLagLSS72fjd3d/kG+FuYDMgbKPYAAACQK334YVdJTtp27r5bHvMo65XzgYA8hmIPAAAAuU716hXUq3dz7TiZorirLrc8HhsVbUEqIG+h2AMAAECuE/RRd9lsSfrwvc+VZLOleizJZlNocIhFyYC8gw1aAAAAkKs89lhlde36jMaN/V4bv12h2Is2+Qb4y6Osl2KjohUaHMLmLEAGUOwBAAAgVxk95mXFxsZpypQfJF3fdZPiDsg8lnECAAAg12jQoIbatq2nKZN/0IUL8VbHAfI0ij0AAADkGmPGvqzo6Fh9/PEqq6MAeR7LOAEAAJArPPfcY3ruucc1MOAzxccnWh0HyPOY2QMAAECuMHZcT508eU5z5vxkdRTAITCzBwAAAMu1bVtP9evXUN/XZurKlatWxwEcAjN7AAAAsJSTk5NGj3lJhw+f0cKF4VbHARwGM3sAAACwVJcuTfTYY1XUo/sUJSenWB0HcBjM7AEAAMAyLi7OCvqou/bvP67FizdbHQdwKMzsAQAAwDI9ejyr6tUr6IWOY2WMsToO4FCY2QMAAIAlXF1dNOKDLtq9+4h+/HGb1XEAh8PMHgAAACzx8svN9NBD5dW+3WirowAOiZk9AAAA5Ljrs3pdtXPnYa1atcPqOIBDYmYPAAAAOa537+aqUsVLb74x2+oogMNiZg8AAAA5qm67Vpr08Zs6G++iJwYOl7evj9WRAIdEsQcAAIAc4+3ro1HB76iEu5N+PVdYJcuXk19QIAUfkA0o9gAAAJBj2g7019MVknUm3lV/xhWQJLm5u8s3wN/iZIDjodgDAABAjmlSs7iKFrimX/+6T5KTvd+jrJd1oQAHRbEHAACAHFGwYAHV9YzXqXhXnYgvkOqx2Khoi1IBjotiDwAAADmiX79WKlbISVtOuurmWb0km02hwSHWBQMcFMUeAAAAsl2hQm4KfK+TNm3apymDJyvmzFmZa9cUc+asvg+aoMjQMKsjAg6H++wBAAAg2/n7P69y5Uqqa5dJitxykOIOyAHM7AEAACBb3XdfQQ0LfFEbNuzRli0HrY4D5BvM7AEAACBb9e/vKy8vD734wnirowD5CjN7AAAAyDbu7gX17pCOCguL1H/+81+r4wD5CsUeAAAAss3rr7eSl5eHRn30rdVRgHyHYg8AAADZolAhNw0Z+oLCw/cyqwdYgGv2AAAAkC369m1p34ETQM5jZg8AAABZrmDBAho67EX9/PN+duAELMLMHgAAAO6Jt6+PfAP85VHWS7FR0QoNDlHDyq6qUMFTL7801ep4QL5FsQcAAIC75u3rI7+gQLm5u0uSSpYvp24fDdNLlaK1ZctB/fzzfosTAvkXxR4AAADumm+Av73Qu8G7nJPKli6ql7uxAydgJa7ZAwAAwF3zKOuV6mdnJ6O6pW06E++q8PC9FqUCIFHsAQAA4B7ERkWn+rlmiSsq5nZN6/+XaFEiADdQ7AEAAOCuhQaHKMlmkyQ5y6he6QSdiXPWxx/OtjgZAK7ZAwAAwF2LDA2TdP3avcaPlFBxt2v6YOxKez8A6zCzBwAAgHsSGRqmia0766GkPxQRcVifjJprdSQAotgDAABAFujevamqVi2n0aPYgRPILSj2AAAAcE9cXJw1fEQXRUYe0erVEVbHAfB/uGYPAAAA96RLlyaqVq28Xug41uooAG7CzB4AAADumpOTk94f7qf9+49rxYrtVscBcBNm9gAAAHDXXnihoWrWfEDduk6SMcbqOABuwsweAAAA7trwEV106NApLVmy1eooAP6BmT0AAADcldat66pOnQfVu9d0Xbt2zeo4AP6BmT0AAADcleEj/HTsWLQWLfq31VEApIGZPQAAAGRa8+aPq0GDh+X/+iwlJ6dYHQdAGpjZAwAAQKYNH9FFp0//rS++2GB1FADpoNgDAABApjRuXFPPPvuoJk9apqSkZKvjAEgHxR4AAAAyZfiILoqOjtXcuWFWRwFwGxR7AAAAyLC6daupZcsnNG3qj7LZrlgdB8BtsEELAAAAUvH29ZFvgL88ynopNipaocEhigy9Pov3/nA/xcRc1uzZay1OCeBOKPYAAABg5+3rI7+gQLm5u0uSSpYvJ7+gQElSyqnf1b59A4388BvFxdmsjAkgAyj2AAAA/h97dx4VZd2/cfxi1XFBQJRVc0lNywXNpXyyUqOcMndyKdcWcqPHNkRTMjPUNMlKrKxcKh+X3B4nJU2zsgwNl9Jy30IQFXFDUJnfHya/fARHlJmbgffrnDnBl3uGi3885+pz398vcpkjI3KL3hWeJpPMkRGqf3KDTp06p6lTlxmUDkBB2Hxmb+jQoSpfvrwk6eOPP9amTZv00EMP2T0YAAAAHM8nwD/P9Zq3+alr13v13tT/6uTJsw5OBeBm2Cx7/fv31+nTpxUWFqZKlSqpX79+io2NdUQ2AAAAOFh6Smqe643KpyszM1tTpixxcCIAN8tm2XNxcZEkmc1mffrpp9q6dWvuGgAAAIoXS1y8sjOvfh7PlHNWd/lLH05foWPHThmUDEBB2Sx7mzZt0sqVK2U2m7Vy5UqVK1dOOTk5jsgGAAAAB0uyJGheTKxOJB+RNSdHJ5KPyO/QL7p08ZLefnuR0fEAFIDNDVoGDBigRo0aae/evcrMzJSvr6/69evniGwAAAAwQJIlIfeohcBAX+3d97E++3SVjhw5YXAyAAVhs+xZrValpqaqXr16cndn804AAICSZNiwjnJ3d9WECQuNjgKggGy2t9jYWD3xxBPavn27Ll26JOlyAfz+++/th9JpkwAAIABJREFUHg4AAADG8fUtr+ciHtGXX67Tvn15b9wCoOiyWfY6duyoOnXqKDs72xF5AAAAUEQMHdpe5cqZFPvWAqOjALgJNjdo2bt3rzw8PByRBQAAAEVEuXImDRnaXosW/aTt2w8aHQfATch3svfuu+/KarXq3Llz2rx5s1avXq2srKzcn0dGRjokIAAAABwvIuIR+fiU01vj5hsdBcBNyrfsbdy4UdLloxeWLl161c+sVqt9UwEAAMAwpUt7atiLnZSQkKSNG3cZHQfATcq37M2aNUuSNHToUL377rtX/Wzo0KH2TQUAAADD9OvXVgEBPurRfYLRUQDcApvP7PXp0+eatb59+9ojCwAAAAzm7u6ml1/prB9/3K7vvvvN6DgAbkG+k73u3burZ8+eql69upYsWZK7Xr58eR0/ftwh4QAAAOBYPXver2rV/DV4ULzRUQDconzL3vr163XkyBH5+flp0qRJueunT5/W1q1bHRIOAAAAjuPq6qqo4d20efNeWSwbjY4D4BblW/YOHjyogwcP6t5773VkHgAAABikY8cWuuOOED0RPt7oKAAKgc1n9po3b65ffvlFp0+fVlZWli5evKiMjAxHZAMAAIADRY8I159/HtbCheuNjgKgENgse++995569OihXbt2yWQy6emnn9bUqVMdkQ0AAAAO8vDDjdW4cU2Nj12gnJwco+MAKAT53sb5T3v27JGbm5tycnL02Wef6ccff7R3LgAAADjQ8OhuOngwTZ9//p3RUQAUEpuTvXPnzsnDw0ObN2/W+PHj9cILL6hs2bI2P7hUqVLasGGDNm/erN9++00xMTGSpGrVqunnn3/Wzp07NXfuXHl4eEiSPD09NXfuXO3atUs///yzbrvttlv7ywAAAHBDWrasp1at7tKktxfpwoWLRscBUEhslr2nnnpKrq6uGjx4sM6ePasqVaqoS5cuNj84KytLrVu3VqNGjdSoUSM98sgjat68ucaPH6933nlHtWvXVnp6ugYMGCBJGjBggNLT01WrVi298847Gj+eB4MBAAAcIWp4V6WlZejjjxOMjgKgkFltvUqXLm2tXbu2zevye5lMJuumTZuszZo1s6alpVnd3NyskqwtWrSwrlixwirJumLFCmuLFi2skqxubm7WtLQ0m5+bmJh405l48eLFixcvXrx4ydqgQTVrjnWZNTo63PAshf1as2aNdc2aNYbn4MXLnq/rdSKbk73HHntMmzdv1ooVKyRJDRs2vOqQ9etxdXVVUlKSjh49qm+++UZ79uzRyZMndenSJUnS4cOHFRwcLEkKDg7WoUOHJEmXLl1SRkaGKlaseM1nPvPMM0pMTFRiYqL8/PxuKAcAAADy9mpUV506dU7vv7/c6CgACpnNshcTE6NmzZrp5MmTkqQtW7aoWrVqN/ThOTk5Cg0NVUhIiJo1a6a6detec43VapUkubi45Puzf/roo4/UtGlTNW3aVMeOHbuhHAAAALhWzZqBCg//l+KnWZSRcdboOAAKmc2yd/HiRZ06deqWfklGRobWrl2rFi1ayNvbW25ubpKkkJAQJScnS7o85atSpYokyc3NTRUqVNCJEydu6fcCAAAgf6+80lkXLlzSO+/c2F1bAJyLzbL322+/qUePHnJzc9Ptt9+ud999V+vX2z5o08/PTxUqVJAklS5dWm3bttWOHTu0Zs0ade3aVZLUp0+f3FtCly5dqj59+kiSunbtqm+//fam/ygAAABcFmoO04iVX+ntLT9qxMqvFGoOkyQFBvqqd582+vSTVUpNPWlwSgD2YPOcvSFDhmjEiBHKysrSl19+qZUrV+qNN96w+cGBgYGaOXOm3Nzc5Orqqnnz5mn58uXavn275s6dq7FjxyopKUkzZsyQJM2YMUOzZ8/Wrl27dOLECXXv3v3W/zoAAIASLNQcpvCYKHmaTJIk36BAhcdESZJ6PhgiNzdXTZz4lZERAdiRiy7v1OKUEhMT1bRpU6NjAAAAFEkjVn4l36DAa9Yz045oaNOLWrz4Z/V+arIByRxjzZo1kqQHH3zQ4CSA/VyvE133Ns7evXtr06ZNOnPmjM6cOaPExEQ99dRTdgkJAACAwuUT4J/n+gN1vVSunEnjYxc4OBEAR8r3Ns6nnnpKL7zwgoYNG6Zff/1VLi4uaty4sSZOnChJmj17tsNCAgAAoODSU1Kvmex5uFrVyPeclizZoN9/P2hQMgCOkO9kb+DAgerUqZPWrl2rU6dOKSMjQ2vWrFGXLl00cOBAR2YEAADATbDExSs7M/OqtbrlTquMp4ti32KqBxR3+U72vLy8dODAgWvWDxw4IC8vL7uGAgAAwK1LsiRIksyREfIJ8Nep1FTVD8jSmjV7tWHDnwanA2Bv+Za9zP/5v0A3+jMAAAAUHUmWhNzSN2BAmCo/NERPjptvcCoAjpBv2atbt662bNlyzbqLi4tq1Khh11AAAAAoXK6urnr5lc7auHGXVq3abHQcAA5w3bIHAACA4qFLl3tVu3awunZ5y+goABwk37J38CC7MwEAABQXUcO76o8/DmvRop+MjgLAQfItewAAACgeHn64sUJDa6p/vymyWq1GxwHgINc9VB0AAADOL2p4Nx06lKbPP//O6CgAHCjfsrdq1SpJUmxsrMPCAAAAoHDdc88duv/+uzR50mJduHDR6DgAHCjf2zgDAwPVqlUrPf7445o7d65cXFyu+nlSUpLdwwEAAODWvBrVVceOndJHH600OgoAB8u37I0aNUpRUVEKCQnR5MmTr/qZ1WpVmzZt7B4OAAAAN+/OO6vq8ceba/Soz3XuXJbRcQA4WL5lb+HChVq4cKFGjhypsWPHOjITAAAACsGrUV11+vQ5vffef42OAsAANnfjHDt2rNq3b69WrVpJktauXavly5fbPRgAAABuXrVq/urevZXipixVevoZo+MAMIDN3TjHjRunyMhIbd++Xdu3b1dkZKTGjRvniGwAAAC4SS+/3FmXLuVo8uTFRkcBYBCbk71HH31UjRo1yj2TZebMmUpKSlJ0dLTdwwEAAKDg/P291a9/W82e9a2OHDlhdBwABrmhc/a8vb1zv65QoYLdwgAAAODWRUY+Lg8PN02YsNDoKAAMZHOy99ZbbykpKUlr1qyRi4uLWrVqpeHDhzsiGwAAAArIy6uMnh9o1oIF67V79xGj4wAwkM2yN3fuXK1du1ZNmzaVi4uLXn31VaWmpjoiGwAAAApo4ECzKlQoq/GxC4yOAsBgNsueJKWkpGjZsmX2zgIAAIBbULq0pyJfeFxff71JmzfvNToOAIPd0DN7AAAAKPr6928rf38fpnoAJN3gZA8AAABFQ6g5TObICPkE+Cs9JVWWuHglWRLk7u6mF1/qrPXrd2jdut+MjgmgCLhu2XNxcdHWrVtVv359R+UBAABAPkLNYQqPiZKnySRJ8g0KVHhMlCSpnk+2qlf3V+TQ6UZGBFCEXLfsWa1WbdmyRVWqVNGhQ4cclQkAAAB5MEdG5Ba9KzxNJj0aGaHwoGRt27Zfy5dvNCgdgKLG5m2cgYGB+v333/XLL7/o7NmzuesdOnSwazAAAABczSfAP8/1xrV9dFc1Dz3Z621ZrVYHpwJQVNkse6+//rojcgAAAMCG9JRU+QYF/s+qVY29T2nv3qP6z3++NyQXgKLJ5m6c69at0/79++Xh4aF169YpMTFRv/76qyOyAQAA4B8scfHKzsy8as3f/ayqervq7Ylf6dKlHIOSASiKbJa9p59+WgsWLND06Zcf9g0ODtbixYvtHgwAAABXS7IkaF5MrE4kH5E1J0cnko+o+tk/lZKSrk8/XWV0PABFjM3bOAcNGqRmzZppw4YNkqTdu3ercuXKdg8GAACAayVZEpRkSZAkNW5cU29smqLhUTOVlXXB4GQAihqbk72srCxduPD//3i4ubnx4C8AAEAR8GpUV2VknNW0aRajowAogmyWve+++07Dhw+XyWRS27ZtNX/+fC1btswR2QAAAJCP2rWD1aXLvfrg/eU6deqc0XEAFEE2y15UVJTS0tK0bds2Pffcc7JYLBo5cqQjsgEAACAfr7zSWVlZFzRlylKjowAoomw+s2e1WjVz5kxt2LBBVqtVf/75pyNyAQAAIB/BwRX15FMP6qMPVyotLcPoOACKKJtlz2w2Kz4+Xnv27JGLi4uqV6+u5557TitWrHBEPgAAAPyPYcM6ytXVVW+/vcjoKACKMJtlb9KkSXrwwQe1Z88eSVKNGjW0fPlyyh4AAIABfH3L65lnH9YXX3ynAweOGh0HQBFm85m9o0eP5hY9Sdq7d6+OHuUfFgAAACMMGfKYypUzacL4hUZHAVDE5TvZ69SpkyTp999/1/LlyzVv3jxZrVZ169ZNiYmJDgsIAACAy8qWLa0hQ9tr8eKftX37QaPjACji8i177du3z/06NTVV999/vyQpLS1NPj4+9k8GAACAqzz77MPy9S2v8bELjI4CwAnkW/b69+/vyBwAAAC4Dk9Pdw17sZPWrNmqDRvYHR2AbTY3aKlWrZqGDBmiatWqyd39/y/v0KGDXYMBAADg//Xu3VrBwRXVt887RkcB4CRslr3FixdrxowZWrZsmXJychyRCQAAAP/g5uaqV17tosTEXVq9eovRcQA4CZtl7/z585o6daojsgAAACAPXbu21O23B6lzpzeNjgLAidgse3FxcRo1apQSEhKUlZWVu56UlGTXYAAAALhseHQ3bd9+UEuWbDA6CgAnYrPs1a9fX0899ZRat26dexun1WpVmzZt7B4OAACgpHv00aZq0KC6+vSeLKvVanQcAE7EZtnr1KmTatSooQsXLjgiDwAAAP5heHQ37d+fqi+/XGd0FABOxtXWBVu2bJG3t7cjsgAAAOAfWrW6S/feW1cTJ3ylixcvGR0HgJOxOdnz9/fXH3/8ocTExKue2ePoBQAAAPsaHt1Nqanp+vTTVUZHAeCEbJa90aNHOyIHAAAA/qFx45p6+OHGinr1M50/n210HABOyGbZW7eO+8MBAAAcLWp4N508eUbTplmMjgLASdkse6dOncrd+cnT01MeHh46e/asKlSoYPdwAAAAJdEdd4Soc+d7NO7NeTp9OtPoOACclM2y5+XlddX3HTp0ULNmzewWCAAAoKR75dWuOn/+gt59d5nRUQA4MZu7cf6vJUuWqHXr1vbIAgAAUOJVrVpJvXrdr48+XKFjx04ZHQeAE7uhc/aucHV11d13382BngAAAHby0kudZLVaNWnSYqOjAHByNste+/btc7++ePGi9u/fz7ELAAAAdlC5srcGPB2mObPX6PDhY0bHAeDkbJa9/v37OyIHAABAiffvf3dQqVIeGj9+odFRABQD+Za91157Ld83Wa1WjR071i6BAAAASiJv77J6fqBZ8+b9oF27ko2OA6AYyLfsnT179pq1smXLasCAAapYsSJlDwAAoBCEmsNkjoxQuwZe8vLK1KLvDxsdCUAxkW/Zmzx5cu7X5cqVU2RkpPr166e5c+dq0qRJDgkHAABQnIWawxQeE6WyZUsr1O+E9pzyVOO+z2j3/uNKsiQYHQ+Ak7vu0Qs+Pj564403tHXrVrm7u6tx48aKiopSWlqao/IBAAAUW+bICHmaTGrgkymTu1W/pJnkaTLJHBlhdDQAxUC+k70JEyaoc+fO+vDDD1W/fv08b+sEAADAzfMJ8Jebi1VN/DJ18IyHUjI9ctcB4FblO9l78cUXFRQUpJEjRyo5OVkZGRnKyMjQqVOnlJGR4ciMAAAAxVJ6Sqru9Dmvsh5WbUgzXbUOALcq38mem5ubI3MAAACUOAnvfaiX5g9W8jl3HT57eaqXnZkpS1y8wckAFAc2z9kDAACAfdTzvaAKpaxa+ut5Wd29lJ6SIktcPJuzACgUlD0AAAADuLq6Kmp4VyUl7VGfJi8YHQdAMUTZAwAAMECXLveqTp0QhXeLNToKgGLqukcvAAAAwD6iR4Trjz8O66uvfjI6CoBiiskeAACAgz32WFM1bFhdffu8o5ycHKPjACimmOwBAAA4WPSIcO3bl6ovvvjO6CgAijEmewAAAA7UunUDtWhxhwY+/4EuXrxkdBwAxRiTPQAAAAeKHhGu5OTj+vTTVUZHAVDMUfYAAAAc5J577lDr1g01edJiZWVdMDoOgGKOsgcAAOAgI1/rrrS0DMXHf210FAAlAGUPAADAAe6+u5batWuidyYv1rlzWUbHAVACUPYAAAAcYMTIcJ04cVrvv7/c6CgASgjKHgAAgJ01aFBNHTq0UNyUpTp9OtPoOABKCMoeAACAnY0Y+YQyMs7q3XeXGR0FQAlC2QMAALCjevWqqlu3f+m9qf9VRsZZo+MAKEEoewAAAHYUPSJcZ85kasqUpUZHAVDCUPYAAADspFatID3xxL807QOLjh8/ZXQcACUMZQ8AAMBOhkeHKyvroiZNWmx0FAAlEGUPAADADqpX99eTTz6gD6ev0NGjJ42OA6AEouwBAADYQVRUV128eEkTJ35ldBQAJRRlDwAAoJBVqVJJffq20SczvtGRIyeMjgOghKLsAQAAFKJQc5j+88NHcnP30Ln6YQo1hxkdCUAJRdkDAAAoJKHmMPV78xXdHeKm7SdLyc03UOExURQ+AIag7AEAABQSc2SE7gmxytVFSkwrI0nyNJlkjowwOBmAkoiyBwAAUEiCQyqpge957ThZShkX3HLXfQL8DUwFoKSi7AEAABSS+mWOy81F2vD3VO+K9JRUgxIBKMkoewAAAIXA399bTQJy9Ptxd2Vk//9ULzszU5a4eAOTASipKHsAAACF4OWXO8vDw1WvDf9EJ5KPyJqToxPJRzQvJlZJlgSj4wEogdyNDgAAAODsKlf2VsTzZs2Zs1ZLP56vpR/PNzoSADDZAwAAuFUvv9xZpUq5682x/zE6CgDkouwBAADcgsqVvfX8wMtTvd27jxgdBwByUfYAAABuAVM9AEUVZQ8AAOAmVapUQc8PNOvzz79jqgegyKHsAQAA3CSmegCKMsoeAADATahUqYIGDnpUX3yxTrt2JRsdBwCuQdkDAAC4CUz1ABR1lD0AAIACuvKs3hdfrNPOnX8ZHQcA8kTZAwAAKKCXXuqk0qU9mOoBKNIoewAAAAVw5Vm9L79kqgegaHM3OgAAAEBRFWoOkzkyQj4B/kpPSZUlLl49Hwz5e6o3z+h4AHBdlD0AAIA8hJrDFB4TJU+TSZLkGxSofm++oqfrntbnn3+nP/88bHBCALg+buMEAADIgzkyIrfoXdGyilUeHm56Y8xcg1IBwI2j7AEAAOTBJ8D/qu/LeVxSfZ/z2n6ytPbsOWJQKgC4cZQ9AACAPKSnpF71ffNKmXKRtPK3M8YEAoACslvZCwkJ0bfffqvt27frt99+09ChQyVJPj4+SkhI0M6dO5WQkCBvb+/c98TFxWnXrl3asmWLQkND7RUNAADAJktcvLIzMyVJXh6XdKfPeW1Jc9eX4+MNTgYAN8ZuZe/ixYt68cUXVa9ePbVo0UKDBg1S3bp1FRUVpdWrV6t27dpavXq1oqKiJEnt2rVTrVq1VKtWLT377LOaNm2avaIBAADYlGRJ0LyYWJ1IPqLmlc4qJ8eq6Jc/VJIlwehoAHBD7Fb2UlJSlJSUJEk6c+aMduzYoeDgYHXo0EEzZ86UJM2cOVMdO3aUJHXo0EGzZs2SJG3YsEHe3t4KCAiwVzwAAACbkiwJ+s+gQbrDK1Pvv7tUCbMXGR0JAG6YQ57Zu+222xQaGqoNGzbI399fKSkpki4XwsqVK0uSgoODdejQodz3HD58WMHBwdd81jPPPKPExEQlJibKz8/PEfEBAEAJNmp0D2VlXVBs7AKjowBAgdi97JUtW1YLFy7UCy+8oNOnT+d7nYuLyzVrVqv1mrWPPvpITZs2VdOmTXXs2LFCzQoAAPBPdetWUc+e9+v99/6ro0dPGh0HAArErmXP3d1dCxcu1Oeff65Fiy7f9pCampp7e2ZAQICOHj0q6fIkr0qVKrnvDQkJUXJysj3jAQAAXNfomJ46e/a8Jk7k9k0AzseuZW/GjBnasWOH3nnnndy1pUuXqk+fPpKkPn36aMmSJbnrvXv3liQ1b95cGRkZubd7AgAAOFqDBtUUHv4vxU1ZquPHTxkdBwAKzN1eH9yyZUv17t1bW7duzd2oJTo6WrGxsZo3b54GDBiggwcPqlu3bpIki8Uis9ms3bt369y5c+rXr5+9ogEAANgU83ovpaef0aRJi42OAgA3xW5l78cff8zzOTxJatu2bZ7rgwcPtlccAACAG9akye3q2LGFXhs5WxkZZ42OAwA3xSG7cQIAADiT18f00rFjpxQXt8zoKABw0yh7AAAA/9CyZT2ZzXdr4oSFOnMm0+g4AHDTKHsAAAD/MO6t3kpOPq733ltudBQAuCV2e2YPAADA2bRr10T33Xenno94X5mZWUbHAYBbwmQPAABAkouLi94c11u7dydrxoxvjI4DALeMyR4AAICkJ564T40a1VCvnm/r4sVLRscBgFvGZA8AAJR47u5uGvNGL23Zsk9z564zOg4AFAomewAAoMQINYfJHBkhnwB/paekyhIXryRLgvr3f0i33x6k9o+NkdVqNTomABQKyh4AACgRQs1hCo+JkqfJJEnyDQpUeEyUSpdy12ujwvXjj9u1fHmiwSkBoPBQ9gAAQIlgjozILXpXeJpMGhX7rIKD3dSzx0SDkgGAffDMHgAAKBF8AvyvWSvlmqP7a7jLYtmo77//3YBUAGA/lD0AAFAipKekXrPWxC9Tpd2tGjlitgGJAMC+KHsAAKBEsMTFKzszM/f7Mm45Cq2YqZXf7dTmzXsNTAYA9sEzewAAoERIsiRIUu5unA290uQqFw15+m2DkwGAfVD2AABAiZFkSVCSJUHVqvlr8J/T9OmM1dq9+4jRsQDALriNEwAAlDgxr/dUTo5VY8bMNToKANgNZQ8AAJQoDRtW15NPPqD3pv5Xf/113Og4AGA3lD0AAFCixI7vq5Mnz2rcuHlGRwEAu+KZPQAAUGI89FCoHn64sV4c9rFOnjxrdBwAsCsmewAAoERwcXHR+Al9tW9fqt5/f7nRcQDA7pjsAQCAEqFXrwfUqFEN9er5trKzLxodBwDsjskeAAAo9kqV8tDYN5/Spk27NXfuOqPjAIBDMNkDAADF3pAhj6lq1Urq13eKrFar0XEAwCGY7AEAgGLN17e8okeEa/nyRK1Zs9XoOADgMJQ9AABQrEVHd1P58iZFvfqZ0VEAwKEoewAAoNiqVs1fgwY/ppmfrdbvvx80Og4AOBRlDwAAFFtvjH1Sly7laPToL4yOAgAOR9kDAADFUuPGNdWr1wOa8s4S/fXXcaPjAIDDsRsnAABwWqHmMJkjI+QT4K/0lFRZ4uKVZEmQJE2Y2E9paRmaMGGhwSkBwBiUPQAA4JRCzWEKj4mSp8kkSfINClR4TJQkKcB6XK1bN9TQIdN16tQ5I2MCgGEoewAAwCmZIyNyi94VniaTHnshQt1DUrRrV7KmT19hUDoAMB5lDwAAOCWfAP881++vV0F1gz3U4fE3dOHCRQenAoCigw1aAACAU0pPSb1mrZRbjlpUOqvVq7do2bJfDEgFAEUHZQ8AADglS1y8sjMzr1pr5nNKpdysGvbvjw1KBQBFB7dxAgAAp3Rl180ru3G6nUpVoztcNePjb7Rt235jwwFAEUDZAwAATivJkpBb+pYsfU3nzt2l116bY3AqACgaKHsAAMDpPfRQqNq3b6ZXXv5EaWkZRscBgCKBZ/YAAIBTc3Nz1aTJA7RnzxG9++4yo+MAQJHBZA8AADi1p58O01133aYunccpO5ujFgDgCiZ7AADAaVWoUFZj3nhSa9du06JFPxkdBwCKFCZ7AACgSAg1h+XurJmekipLXHzu5iv5GTnyCVWsWJ6jFgAgD5Q9AABguFBzmMJjouRpMkmSfIMCFR4TJUn5Fr7bbw/UkKGP6bNPV2nz5r0OywoAzoLbOAEAgOHMkRG5Re8KT5NJ5siIfN8zfkI/ZWVd0MiRHLUAAHmh7AEAAMP5BPgXaL1Nm4bq1Okexb61QCkp6faMBgBOi7IHAAAMl56SesPrHh7uenfqc9q9O1mTJy+2dzQAcFqUPQAAYDhLXLyyMzOvWsvOzJQlLv6aa4cOba+6davohciPlJV1wVERAcDpsEELAAAw3JVNWGztxhkY6KtRo7tr2bJfZLFsNCIqADgNyh4AACgSkiwJNo9amDCxnzw83PXvFz5yUCoAcF7cxgkAAJzCfffdqV69HtDECV9p794Uo+MAQJFH2QMAAEWem5urpr73nA4cOKrY2AVGxwEAp8BtnAAAoMh7/nmzGjSori6dxykzM8voOADgFJjsAQCAIq1SpQoa80YvJSQkadGin4yOAwBOg7IHAACKtNjYPipTppSGDpludBQAcCqUPQAAUGQ1b15H/fo/pCnvLNHOnX8ZHQcAnArP7AEAALsINYfZPDfvelxdL2/K8tdfxzV27Dw7JgWA4omyBwAACl2oOUzhMVHyNJkkSb5BgQqPiZKkGy58AwY8pLvvrqWePSbqzJlMu2UFgOKK2zgBAEChM0dG5Ba9KzxNJpkjI27o/ZUqVdBbsX303Xe/ae7cdfaICADFHmUPAAAUOp8A/wKt/6+Jb/dXuXKlNfD5DwozFgCUKJQ9AABQ6NJTUgu0/k+tWzdQ796tNWH8Qu3YcaiwowFAiUHZAwAAhc4SF6/szKufs8vOzJQlLv667ytVykPT4gdp165kjRs3354RAaDYY4MWAABQ6K5swlLQ3Tijo8NVq1aQHmo7UufPZzsiKgAUW5Q9AABgF0mWhAIdtVCnTohejeqiOXPWaPXqLXZMBgAlA7dxAgCAIiF++iCdOXNeLw6bYXQUACgWmOwBAADD9e3bRvfff5cwL1XTAAAgAElEQVSeeXqq0tIyjI4DAMUCkz0AAGAoPz8vTXy7v374Ybs++eQbo+MAQLFB2QMAAIaaMLG/vLzKKOK592W1Wo2OAwDFBmUPAAAY5oEH6qtv3zaaOOErbd9+0Og4AFCsUPYAAIAhLp+pN1B79hzR2LH/MToOABQ7bNACAAAMER0drjp1QvRw2CjO1AMAO2CyBwAAHK5hw+qKGt5Vs2ev0TffJBkdBwCKJcoeAABwKHd3N834JFLHj5/WC5EfGh0HAIotbuMEAAAO9fLLndW4cU116TxO6elnjI4DAMUWkz0AAOAwdetW0ajRPTRv3g9atOgno+MAQLFG2QMAAA7h6uqqGZ8M1enTmRoyON7oOABQ7HEbJwAAuCGh5jCZIyPkE+Cv9JRUWeLilWRJuOH3v/DC42rR4g717DFRaWkZdkwKAJAoewAA4AaEmsMUHhMlT5NJkuQbFKjwmChJuqHCd/vtgXpj7JNasuRnzZ27zq5ZAQCXcRsnAACwyRwZkVv0rvA0mWSOjLD5XhcXF308Y6iysi5o4PPT7BURAPA/mOwBAACbfAL8C7T+T88/306tWt2l/v2m6MiRE4UdDQCQDyZ7AADApvSU1AKtX1Gtmr9ix/fVypW/6rPPVtsjGgAgH5Q9AABgkyUuXtmZmVetZWdmyhJ3/V01P/xosKxWq5579j17xgMA5IHbOAEAgE1XNmEpyG6cERHt1LZtIw18/gMdPJjmqKgAgL9R9gAAwA1JsiTc8FELtWoF6e1JA7Ry5a+Kj//azskAAHnhNk4AAFCo3NxcNWv2MJ0/n60B/eOMjgMAJRaTPQAAUKiio8PVvHkdPRE+XsnJ7L4JAEZhsgcAAArN3XfX0mujumvOnDWaP/8Ho+MAQIlG2QMAAIXCZCql2XOG6ciRExoyeLrRcQCgxOM2TgAAUCjGj++jOnVC1Kb1CGVknDU6DgCUeEz2AADALQsLC9XgIe31zuTFWrNmq9FxAACi7AEAgFvk61ten3waqd9/P6jo6FlGxwEA/I3bOAEAwC15/4Pn5efnpcceHaOsrAtGxwEA/I2yBwAAblqPHvfriSfuU/Twmdq8ea/RcQAA/8BtnAAA4KZUr+6vD6Y9rx9/3K4JE74yOg4A4H9Q9gAAQIF5eLjriy9fVk6OVU/2mqScnByjIwEA/ge3cQIAgAJ7882n1Lx5HXXpPE4HDhw1Og4AIA9M9gAAQIE88kgTvfRyZ33w/nItWvST0XEAAPmg7AEAgBsWGOirmbP+rS1b9unFF2cYHQcAcB2UPQAAcENcXV01e84wlSlTSt2fmMAxCwBQxPHMHgAAuCEjRoSrdeuG6td3iv7887DRcQAANlD2AAAooULNYTJHRsgnwF/pKamyxMUryZKQ57WtWt2lUaO7a/bsNZo5c7WDkwIAbgZlDwCAEijUHKbwmCh5mkySJN+gQIXHREnSNYWvYkUvzfn8Re3Zk6JBA6c5PCsA4ObwzB4AACWQOTIit+hd4WkyyRwZcc21n3waqUqVKqj7ExN05kymoyICAG4Rkz0AAEognwD/G1ofNqyj2rdvpqFDpmvz5r2OiAYAKCRM9gAAKIHSU1JtrrdqdZdix/fVV1+t13vv/ddR0QAAhYSyBwBACWSJi1d25tW3ZGZnZsoSFy9JCgry1X/mvaLdu4+oX98pRkQEANwibuMEAKAEurIJS167cXp4uGv+guEqW7a0Wj84QqdP85weADgjyh4AACVUkiUhz6MWJk8eoHvuuUPh3WK1Y8chA5IBAAoDt3ECAIBcTz75oAYNfkyT3l6kBQt+NDoOAOAW2K3szZgxQ6mpqdq2bVvumo+PjxISErRz504lJCTI29s792dxcXHatWuXtmzZotDQUHvFAgAA+WjYsLqmfzhIa9ZsVVTUZ0bHAQDcIruVvc8++0yPPPLIVWtRUVFavXq1ateurdWrVysq6vLhre3atVOtWrVUq1YtPfvss5o2jQNbAQBwJB+fclr4VbSOHz+tHt0n6tKlHKMjAQBukd3K3vfff68TJ05ctdahQwfNnDlTkjRz5kx17Ngxd33WrFmSpA0bNsjb21sBAQH2igYAAP7BxcVFs+e8qJCQiurWNVZHj540OhIAoBA49Jk9f39/paSkSJJSUlJUuXJlSVJwcLAOHfr/B8APHz6s4ODgPD/jmWeeUWJiohITE+Xn52f/0AAAFHOjRnWX2Xy3Xoj8SBs2/Gl0HABAISkSG7S4uLhcs2a1WvO89qOPPlLTpk3VtGlTHTt2zN7RAAAo1h5/vLlGx/TUzJmrFR//tdFxAACFyKFlLzU1Nff2zICAAB09elTS5UlelSpVcq8LCQlRcnKyI6MBAFDiNGxYXXM+f1G//LJTz0d8YHQcAEAhc2jZW7p0qfr06SNJ6tOnj5YsWZK73rt3b0lS8+bNlZGRkXu7JwAAKHz+/t5asvQ1nTx5Vp06vqnz57ONjgQAKGR2O1T9iy++0AMPPCA/Pz8dOnRIo0ePVmxsrObNm6cBAwbo4MGD6tatmyTJYrHIbDZr9+7dOnfunPr162evWAAAlHilSnlo0eIRqlixvFrdF6UjR07YfhMAwOnYrez17Nkzz/W2bdvmuT548GB7RQEAAP/w8YyhatHiDnXpPE5JSXuMjgMAsJMisUELAABwjOjocPXq9YBGRM/SokU/GR0HAGBHlD0AAEqILl3u1dg3n9Ls2Wv01lvzjY4DALAzyh4AACVA48Y1NXPWMK1fv0PPPjPV6DgAAAeg7AEAUMwFBvpqydLXlJaWoc6dxikr64LRkQAADmC3DVoAAIDxypYtrSVLR6pChTJqee8rOnr0pNGRAAAOQtkDAKCYcnd30/wFUQoNraGOHd7Utm37jY4EAHAgyh4AAMXURx8P0SOPNNEzT0/V8uWJRscBADgYZQ8AgGIg1Bwmc2SEfAL8lZ6SqurpW9Tnibs1etTnmjEjweh4AAADUPYAAHByoeYwhcdEydNkkiQ9eJe3WgfdrYVf/6Y33phrcDoAgFHYjRMAACdnjozILXq1vLL0YOBZ7T7lqa3udQxOBgAwEpM9AACcnE+AvyQpuMwFPRJyWkfOuctyqLwq+JczOBkAwEhM9gAAcHLpKamqWOqiHr/tlDKy3bT4oJcuWV2UnpJqdDQAgIEoewAAOLlNn89Rp9sydDHHRYsOeCnrkquyMzNliYs3OhoAwEDcxgkAgBOrXNlb70Q/JJcL5/XZFldll3NResoRWeLilWRhF04AKMkoewAAOClf3/L6ZtUbCgnx08Nhr2n9+h1GRwIAFCGUPQAAnFCFCmW1MmGMatUK0qPm1yl6AIBrUPYAAHAy5cqZtNwyWvXr36ZOHd/UmjVbjY4EACiCKHsAADgRk6mUliwdqWbNaiu8W6y+/nqT0ZEAAEUUZQ8AACfh6emuhV8N1/3336Une03S4sU/Gx0JAFCEUfYAAHAC7u5umvufV/XII000oH+c5s5dZ3QkAEARxzl7AAAUca6urpo1e5g6dmyhwYOm6dNPVxkdCQDgBCh7AAAUYe7ubprz+Yvq3r2VXnn5E33wgcXoSAAAJ8FtnAAAFFGenu76cu4r6tTpHr380ieaNGmR0ZEAAE6EsgcAQBFUurSnFiwcLrP5bg0ZHK/3319udCQAgJOh7AEAUMSUKVNKS5a+pgcfrK9nn5mqjz9OMDoSAMAJUfYAAChCypc36b/LR+vee+9Q3z5TNGfOGqMjAQCcFGUPAIAiwtu7rL5e8boaN66pnj3e1vz5PxgdCQDgxCh7AAAUARUreinhmzGqV6+qunWN1dKlG4yOBABwcpQ9AAAMFhxcUV+veF01awaoY4exWrnyV4Waw2SOjJBPgL/SU1JliYtXkoVn9wAAN46yBwCAgerVq6qvV8SoQoWyetT8utau3aZQc5jCY6LkaTJJknyDAhUeEyVJFD4AwA3jUHUAAAzSsmU9ff/DeLm7u+n+VlFau3abJMkcGZFb9K7wNJlkjowwIiYAwElR9gAAMEDHji2U8M0Ypaae1L33vKwtW/bl/swnwD/P9+S3DgBAXih7AAA4WEREO81fEKXNm/fpvn+9qgMHjl718/SU1Dzfl986AAB5oewBAOBAY8b00gfTBspi2aS2bUbq+PFT11xjiYtXdmbmVWvZmZmyxMU7KiYAoBhggxYAABzAzc1V06cPUv8BYZrxcYIiIt7XpUs5eV57ZRMWduMEANwKyh4AAHbm5VVGX859Re3aNdGY179UTMwXNt+TZEmg3AEAbgllDwAAO7r99kAtWfqabr89UM88PVUzZlDgAACOQdkDAMBOHnywgeYviFJOjlUPtX1N69b9ZnQkAEAJwgYtAADYQUREO61MGKPk5BNq3mwYRQ8A4HBM9gAAKETu7m6aMuUZDRz0qJYt+0VP9npbp09n2n4jAACFjLIHAEAh8fEpp3nzo9SmTUNNnLBQw4fPUk7O5R03Q81h7K4JAHAoyh4AAIWgXr2qWrR4hKpWraS+fd7RrFnf5v4s1Bym8JgoeZpMkiTfoECFx0RJEoUPAGA3PLMHAMAt6tXrAW34ZZLKlzep9YPRVxU96fJ5eVeK3hWeJpPMkRGOjAkAKGEoewAA3KRSpTw0bdpAzZ7zojZu3K3GoZH66ac/rrnOJ8A/z/fntw4AQGGg7AEAcBOqVfPXDz9O0HMR7TQ+doHathmhlJT0PK9NT0kt0DoAAIWBsgcAQAG1b99Mm36doho1AvR4+zEaPnymLl3Kyfd6S1y8sjOv3pEzOzNTlrh4e0cFAJRgbNACAMANcnNz1dixT+nVqK7atGm3unWN1f79tqdzVzZhYTdOAIAjUfYAALgBISF+mj3nRd1//12Kn2bRv//9sbKyLtzw+5MsCZQ7AIBDUfYAALDhiSfu07T4gXJzc9VTT07S55+vNToSAAA2UfYAAMiHl1cZvfd+hJ588kGtX79DTz05Sfv2sakKAMA5UPYAAMjDfffdqVmzhyk4uKJGvTZHb701/6pNWELNYTyDBwAo0ih7AAD8g4eHu2JieujVqK7asydF/2r5in75ZedV14SawxQeE5V7ULpvUKDCY6IkicIHACgyOHoBAIC/1akTovU/TdTw6HB9MuMbNQ6NvKboSZd31bxS9K7wNJlkjoxwVFQAAGxisgcAKPHc3d300kudNGp0D505c16dOr6pJUt+zvd6nwD/Aq0DAGAEyh4AoERr1KiGZnwyVKGhNTV//g8aOmS6UlNPXvc96Smp8g0KzHMdAICigts4AQAlUqlSHho3rrd+SZysgAAfdek8Tk+Ej7dZ9CTJEhev7MzMq9ayMzNliYu3V1wAAAqMyR4AoMRp2bKePp4xRHXqhOjTT77Riy/O0MmTZ2/4/Vc2YWE3TgBAUUbZAwCUGOXLmzRuXG8NGvyY9u1LVdhDr2nVqs039VlJlgTKHQCgSKPsAQBKhF69HtCEif3k7++tuClLNHLkHJ09e97oWAAA2A1lDwBQrDVoUE1T34vQfffdqV9+2amOHcYqMXGX0bEAALA7yh4AoFiqUKGsxozppYGDzEpPP6tnnp6qTz75Rlar1ehoAAA4BGUPAFCsuLi4qE+f1ood31d+fl6aHr9CI0fOVnr6GaOjAQDgUJQ9AECxce+9dTXx7f665547tH79DrV7JEZJSXuMjgUAgCEoewAAp1e7drDGvdVbnTvfqyNHTqhf3ymaNetbbtkEAJRolD0AgNOqXNlbo0f30DPPPqzMzCyNem2OJk9erHPnsoyOBgCA4Sh7AACnU7ZsaQ0b1lEvvdxJpUt76sPpKzRmzFwdPXrS6GgAABQZlD0AgNPw8HBX//5tNWp0DwUG+mrBgh81InqWdu1KNjoaAABFDmUPAFDkeXi4q1+/tooeEa6qVSvphx+2q2uXt/TTT38YHQ0AgCKLsgcAKLKulLzh0d10222V9dNPf+jZZ6YqISHJ6GgAABR5lD0AQJHj4eGuvn3bKHpEuG67rbJ+/vkPPffse5Q8AAAKgLIHACgyTKZS6tevjV5+pQslDwCAW0TZAwAYzs/PS4MGPapBgx+Tn5+X1q/fQckDAOAWUfYAAIapWTNQw4Z1VN9+bWQyldKSJT9r4oSvtH79DofmCDWHyRwZIZ8Af6WnpMoSF68kS4JDMwAAUNgoewAAh2vatJZeermzOne+Rxcv5mjO7DWaNGmR/vjjsMOzhJrDFB4TJU+TSZLkGxSo8JgoSaLwAQCcGmUPAOAQpUp5qFu3f2nQ4EfVvHkdpaef0YTxCzV16n+VkpJeqL+rIJM6c2REbtG7wtNkkjkygrIHAHBqlD0AgF1VrVpJERHtNODpMFWqVEE7dhzS0CHT9dlnq3XmTGah/76CTup8Avzz/Jz81gEAcBaUPQBAoXNxcVHbto00cJBZjz3WVJK0ZMkGffD+cn377Va7/u6CTurSU1LlGxSY5zoAAM6MsgcAKDTBwRXVu3dr9e3XVrVqBeno0ZMaH7tQ06ev0KFDaQ7JUNBJnSUu/qpJoCRlZ2bKEhdvl3wAADgKZQ8AcEs8Pd3Vvn0z9ev/kB5+OFRubm5au3abxrz+pebP/0HZ2Rcdmqegk7or0z524wQAFDeUPQDATWnQoJr6939IPXs9ID8/Lx06lKa3xs3XZ5+t1t69KYbluplJXZIlgXIHACh2KHsAgBt2222V1b17K3Xv0UoNG1ZXVtYFLV78sz795ButWrVFOTk5RkdkUgcAwN8oewCA66pc2VvdurVU9x6t1LJlPUnS+vU7NGRwvL78cp1OnDhtcMJrMakDAICyBwDIg49POT3+eHN179FKbds2lJubm7Zu3afo4TM1d+732r/fsTtVFuTcPAAAcBllDwAgSQoM9FXHji3UqfM9euCB+nJ3d9PevSkaH7tQX375nX7//aAhuQp6bh4AALiMsgcAJdjttweqU6d71KnzPWrR4g5J0h9/HNbECQu1aNHP2rhxl8EJC35uHgAAuIyyBwAliLu7m1q2rCuz+W6ZH22qO++sKknauHGXRkTP0qJFP+mPPw4bnPJqBT03DwAAXEbZA4BiLiDAR+3aNVE789166KFGqlChrLKzL+i7737TRx+u0KJFPzvswPObUdBz8wAAwGWUPQAoZkqX9lTLlnXVpk1DhT3cWI0b15QkHT58TPP+872WL9+ob7/dqjNnMg1OemNu5tw8AABA2QMAp+fq6qomTWqqTZuGatO2kVq2rKvSpT114cJF/fTTHxoeNVMWy0Zt27bf6KiSCr6zJufmAQBwcyh7AOBk3Nxc1bBhdbVqdZda3X+XHnjgLnl7l5MkbdmyT9M+sGjVqs36/vvtRW56d7M7a3JuHgAABUfZA4AirlQpDzVrVlv33Xen7mt1p+699w6VL19GkrR3b4oWLlivVas269tvtyotLcPgtNfHzpoAADgOZQ8Aipjg4Ipq0aKOWrS4Q81b1FHTprVUqpSHJGnbtv2aM3ut1q37Td9//7uSk08YnLZg2FkTAADHoewBgIHKlCmlJk1uV/PmtdW8xR1q0aKOgoMrSpLOn8/Wr7/u0dR3l+n773/Xjz/u0IkTpw1OfGvYWRMAAMeh7AGAg5QrZ1JoaA01aXK7QhvXVJMmNXXHHSFydXWVJO3enaw1a7Zqw89/asOGndqyZZ8uXLhocOrCxc6aAAA4DmUPAOwgKMhXDRpUV4MG1dSgYXU1aVJTtWoF5Ra7v/46rk2bdmvef77Xpk17tGHDnzp27JTBqe2PnTUBAHAcyh4A3IJy5UyqWzdE9etXU4MG1VS/weX/VqzolXvNgQNH9euve/T5nLXatGm3fv11j1JTTxqY2ljsrAkAgGNQ9gDgBvj4lFPdulVUr14V1a1bRXXrVVG9elVVtWql3GvOnMnUtm0HtHDBem3duk9bt+7Xtm0HlJFx1sDkAACgpKLsAcDfSpf2VM2aAapdO1i1awerVq1A1aodrNq1g+Tv75N73blzWdqx45C+++437dh+UDt2HNa2bfu1b1+qrFargX8BAADA/6PsAShRvL3LqkaNANWsGagaNQJUo4a/atQMVM2aAapatVLuM3WSdOTICe3cmaz/LkvUn38e1vbth7R9+yEdOHCUUvcPoeYwnsEDAKAIouwBKFZ8fMrpttsq//2qdPm/1S5/X6NGgHx8yl11fWpquvbuTdUPP2zXrp3J2rUrWTt3/qVdu5J1+nSmQX+F8wg1h121u6ZvUKDCY6IkicIHAIDBKHsAnIaXVxmFhPgpJKSiqlSppJCQigoJ8VPw399Xreqn8uXLXPWes2fP68CBozpwIE0bfv5Te/emaM+eFO3dm6J9+1J15kzxL3QFnbwV5HpzZMRVxyhIkqfJJHNkBGUPAACDUfYAGMrFxUW+vuXl7+8tf39vBQb6KCjIV0FBFRXw99eBgb4KCvJV2bKlr3pvTk6OUlLSdfjwcf3552GtXrVZ+/cf/bvcXS54x48X/+MMrqegk7eCXu8T4J/n781vHQAAOA5lD0ChK1u2tCpVqqBKlbz+/u8/vq7snVvsAgK8ValSBXl4XPtP0ZkzmUpOPqEjR9K1ceMupRxJV3LyCR0+fEyHDh3T4cPHdORIerE7dNyWgk7pCjp5K+j16Smp8g0KzHMdAAAYi7IHIF+lSnnIx6ecfHzKyde3vHx8ysrHp5wqVvRSxYrlVbFiefn+4+uKFcvLz89LJlOpPD8vK+uCjh49qZSUk0pOPqHNSZfPm0tJOanU1HSlpp7Ukb9LnbPeXmnPWyZv5vm4gk7eCrpuiYu/KpMkZWdmyhIXn+f1AADAcSh7QDHl7u6m8uVN8vIq83/t3XtQVPXfB/D3XmG5uHgB8QF/QIoXelIXy8ug+RCmkma/tFE0HbKyy5NWTr9Jx8aRppqxZ5yx0sqG0p6SNEss/D2/SWC0nCmhFRaEAQSCSAS5SFzltruf54/VUwj1UwIWd9+vmc/sOYfv9+xn99Mc99M5ZxdGoxdGjPgtjEYvGI3e8PPzhtHoDaOfN4xGL2X9eoPn5dV30wYANpsNDQ2tuHKlBVeuNOOXX+pgsZThSn0z6uqaUFfXhPr6ZtTV/bbu6l94MtiXTPbn/rhbPfN2q+OvPy+/jZOIiGj4YbNH5GQqlQoGgx7e3p7w8vL43aMHfHwM8PZ2bLu+fP3R19cAH18v+Ph4wtfXoIRj3etPG7XrurutaGxsQ2NjG5qaHI+XLzei8ddW/HotGhpari23KduuXGlGU9NV/vzADQb7ksn+3B93q2fe+nOmzvKvVDZ3REREwxCbPaJrNBo1PDx0fYanpw6envo+lvUwGBxxfVl5NOhhMHjAYNDDy8tDGedY9ujR4N0Kq9WGtrYOtLS0K9Ha2o6KilrHcks7Wls70NTUhubmdjQ3X70hHNsaG9vQ3t45SO9m/wzmJZD9GX+rcwb7ksn+3B93q2feeKaOiIjIdQyrZm/x4sV4++23odFo8OGHH+LNN990dkqDarA/eA7F+Mili7D0hWcwKjAAzbW1SP/gAApOnYFWq4ZWq4FWq4FG41jW6Rzrdy6Iwvy1K2EcPRJtv/6KrK/+iZ+zc6DTaaDTaaHVqqHTaZXxd5juwl33zYev0Qedra34KfMcrvz8M3Q6DfR6nTJPp9dCr9ci4G9BCJ48AZ6eHrB3d6KpuhpdrS3w8NBBr9dBr9deW9b2aOg0GvUfvs6b1dXVjY6ObrS3d6KjoxtXr3aivb0Lag8DfAIDAa0H2q92oiivCJdKytHW1oGrVzuVR8dyJ8ZFRGDaslh4GkehvvYKTiYeQuaJNLS2tqOrq+8vJFFqN20smobBfxv9GT+Yl0D25363W50z2JdM9vf+uFs988YzdURERK5BBWBYXIelVqtRXFyM+++/H5WVlTCbzVizZg0KCwv/cI7ZbMY999wzhFn+e4sWmRAR8TeoVI7XpFaroFKpoFaroFarle3/MXki/vO/5kGj00IFQKUC7FYrin/IRP3PFcpctVoFjUYDtVoF/9DxmDBzBrRazW9zbFZczC9Ec03t78arodFo4DfWH0GTJkCtUUMFQK0SwG5HQ+UltDc3XxunVsZ7j/DFCP9R0KhVyv5VIuhuvwqxWZWx1xu463k5g81mR3e3FV1dVuWxq8sKtU4Pw8iRsEMNu6hgF6DbZselknLUX7qMri4rOju7HfO6rOjq6oYxKAgT5swGNDrYBLCJCp2d3cj46l8oMeegvb0LnZ3d6OjoQkdHN0LvnonojY9BpfeETQCrXYX2qx04nPA/yPrnyV653tgwAI4P6EcTdt1UU/Lvxg/FcwzFa3jlZHKfjU9DVTXeWLxiyMf3Z85Q1Zpn3YiIbs7p06cBANHR0U7OhGjw/FlPNGzO7M2aNQulpaUoLy8HABw5cgQPPfTQnzZ7w9GatQsQHx9zk6O7YZduCIDrtz5F/t2EzqtTYLfLtbDDbhfYbHZ4+flBrbHDLnbHnGvzxt4djrpfDNfG2ZTxYyf+DRqdCiICAWAHICoNvPzHoqqiCjabvUdMnjcXHR16x1j5bf9X26wwf5WujLNabbDZ7JizeiU8fXwd+xXHHDtUaG1sxv+9vR9Wqx02m+3ao6M5+/v2f8Br1CjH/sWRk11UaKy7gsT//ge6u23o7rbCarWhu9uGZ/93P4wBY2G7Ns4ugE2AhqrLeGPxyl7vqOPD+ehe2xuudOKNhzb1WYVXTiajvsF4w1YDrBEL8NmWt3uNj975BprhDXT9tk3l4YUlm5/us9kb7Pu4huI5huI1DPYlkP253+1W5wzFJZM860ZEREQ3a9ic2Vu5ciWWLFmCjRs3AgDWrVuH2bNnY/PmzT3Gbdy4EU899RQAYPLkybhw4cKQ5zoQgiOmON79GwlQWVA0IHOG23jmNDjjh2NO/XkN48InQKPX9dpu6+pGdclPQz6+v3OuGzNmDOrr6/90DLkG1to9sM7ug6R3vwMAAAvFSURBVLV2H65S65CQEAQEBPT5t2FzZk+l6v3JsK9v+ktMTERiYuJQpDRkhuPlqDQ4WGv3wVq7D9baPbDO7oO1dh/uUOu//o0UA6SyshLjx49X1oODg1FVVeXEjIiIiIiIiG5fw6bZM5vNCA8PR2hoKHQ6HeLi4pCSkuLstIiIiIiIiG5LGgAJzk4CcFyyWVJSgqSkJGzevBmHDh1CcnKys9MaMtnZ2c5OgYYIa+0+WGv3wVq7B9bZfbDW7sPVaz1svqCFiIiIiIiIBs6wuYyTiIiIiIiIBg6bPSIiIiIiIhfEZs/JFi9ejKKiIpSUlGDr1q3OTocG0EcffYSamhrk5eUp20aOHInU1FQUFxcjNTUVfn5+TsyQBkJwcDBOnTqFgoIC5Ofn4/nnnwfAWrsiDw8PZGZmIicnB/n5+UhISAAAhIaGIiMjA8XFxThy5Ah0ut6/zUi3H7VajezsbJw4cQIA6+zKysvLcf78eVgsFpjNZgA8hrsio9GIL774AoWFhSgoKMCcOXPcps7CcE6o1WopLS2VsLAw0el0kpOTI1OnTnV6XoyBifnz54vJZJK8vDxl25tvvilbt24VALJ161bZtWuX0/Nk/LUIDAwUk8kkAMTHx0cuXLggU6dOZa1dNLy9vQWAaLVaycjIkNmzZ8vnn38uq1evFgDy/vvvyzPPPOP0PBl/PbZs2SJJSUly4sQJAcA6u3CUl5fL6NGje2zjMdz14uOPP5YnnnhCAIhOpxOj0egudXZ6Am4bc+bMkW+++UZZ37Ztm2zbts3peTEGLkJCQno0e0VFRRIYGCiAo0koKipyeo6MgY2vvvpKFi5cyFq7eBgMBsnKypJZs2ZJXV2daDQaAXof1xm3ZwQFBUl6erpER0crzR7r7LrRV7PHY7hrha+vr5SVlfXa7g515mWcThQUFISLFy8q65WVlQgKCnJiRjTYxo4di8uXLwMALl++jICAACdnRAMpJCQEJpMJmZmZrLWLUqvVsFgsqK2tRVpaGn766Sc0NjbCZrMB4HHcVbz11lt4+eWXYbfbAQCjR49mnV2YiCA1NRXnzp3Dxo0bAfDfa1dzxx13oK6uDgcPHkR2djYSExPh5eXlFnVms+dEKpWq1zYRcUImRPRXeXt749ixY3jxxRfR0tLi7HRokNjtdphMJgQHB2PWrFmYOnVqrzE8jt/eli5ditra2h6/vcV/r11bVFQUZs6cidjYWDz33HOYP3++s1OiAabVahEZGYn3338fkZGRaGtrw7Zt25yd1pBgs+dElZWVGD9+vLIeHByMqqoqJ2ZEg62mpgaBgYEAgMDAQNTW1jo5IxoIWq0Wx44dQ1JSEo4fPw6AtXZ1TU1N+PbbbzFnzhz4+flBo9EA4HHcFURFRWH58uUoLy/HkSNHcN999+Gtt95inV1YdXU1AKCurg7Hjx/HrFmzeAx3MZWVlaisrMSPP/4IAPjyyy8RGRnpFnVms+dEZrMZ4eHhCA0NhU6nQ1xcHFJSUpydFg2ilJQUxMfHAwDi4+Px9ddfOzkjGggfffQRCgsLsWfPHmUba+16xowZA6PRCADw9PTEwoULUVhYiNOnT+ORRx4BwFq7gu3bt2P8+PEICwtDXFwcTp06hXXr1rHOLsrLyws+Pj7K8qJFi5Cfn89juIupqanBxYsXMWnSJABATEwMCgoK3KbOTr9x0J0jNjZWLly4IKWlpbJ9+3an58MYuPjss8+kqqpKurq65OLFi/L444/LqFGjJD09XYqLiyU9PV1Gjhzp9DwZfy2ioqJERCQ3N1csFotYLBaJjY1lrV0w7rrrLsnOzpbc3FzJy8uTHTt2CAAJCwuTzMxMKSkpkaNHj4per3d6royBiQULFihf0MI6u2aEhYVJTk6O5OTkSH5+vvJZjMdw14vp06eL2WyW3NxcOX78uPj5+blFnVXXFoiIiIiIiMiF8DJOIiIiIiIiF8Rmj4iIiIiIyAWx2SMiIiIiInJBbPaIiIiIiIhcEJs9IiIiIiIiF8Rmj4iIhi2r1QqLxYL8/Hzk5ORgy5YtUKlUg/Z8GzZswPnz55Gbm4u8vDwsX74cAPDqq68iJiZm0J539uzZyMjIgMViQUFBAXbu3AkAWLBgAebOnXvL+5s+fTpiY2MHOk0iIroNOf33HxgMBoPB6CtaWlqUZX9/f0lLS5OEhIRBea6goCApLS2VESNGCADx9vaW0NDQIXmdRUVFMm3aNAEgarVapk6dKgBk586d8tJLL93SvjQajcTHx8vevXudXj8Gg8FgOD2cngCDwWAwGH3G75s9wPEDyPX19QJAQkJC5MyZM5KVlSVZWVkyd+5cASCffPKJLF++XJlz6NAhefDBByUiIkIyMzPFYrFIbm6uTJw4sce+TSaTWCwWUavVvfI4ePCgrFy5UgBIeXm5JCQkSFZWlpw/f14mT54sgKM5PHDggJw/f15yc3NlxYoVAkDuv/9++eGHHyQrK0uOHj0q3t7evfbf0NAg/v7+PbaFhIRIdXW1VFZWisVikXnz5smyZcskIyNDsrOzJS0tTQICAgRwNIUffPCBnDx5UpKSkqSiokJqa2vFYrHIqlWrnF5HBoPBYDgtnJ4Ag8FgMBh9xo3NHuBojAICAsRgMIiHh4cAkIkTJ4rZbBYAcu+998rx48cFgIwYMULKyspEo9HIO++8I2vXrhUAotPpxNPTs8d+1Wq1fPPNN1JRUSEHDhyQZcuWKX+7sdnbtGmTAJBnn31WEhMTBYDs2rVL9uzZo8zx8/OT0aNHy3fffSdeXl4CQF5++WXZsWNHr9e0Y8cOaWhokOTkZHnqqaeU13XjmT0/Pz9l+YknnpDdu3cr486dO6e8Jp7ZYzAYDAYA0YKIiOg2cv2ePZ1Oh3379mHGjBmw2WyYNGkSAODMmTN499134e/vjxUrVuDYsWOw2Ww4e/YsXnnlFQQHByM5ORmlpaU99mu327FkyRLcc889iImJwZ49ezBz5ky8+uqrvXJITk4GAGRlZWHFihUAgIULFyIuLk4Z09jYiKVLlyIiIgLff/89AECv1+Ps2bO99vfaa68hKSkJixYtwtq1a7FmzRpER0f3GhccHIzPP/8c48aNg16vR3l5ufK3lJQUdHR03NJ7SUREro1f0EJERLeNsLAw2Gw21NbWYsuWLaipqcH06dNx9913Q6/XK+M+/fRTPProo9iwYQMOHjwIADh8+DCWL1+O9vZ2nDx5ss9mCgDMZjN27dqFuLg4rFy5ss8xnZ2dAACbzQat1vH/TVUqFUSkxziVSoW0tDSYTCaYTCbceeedePLJJ/vcZ1lZGfbv34+YmBhMnz4do0aN6jVm79692LdvH6ZNm4ann34anp6eyt/a2tr+6G0jIiI3xWaPiIhuC2PGjMH+/fuxb98+AIDRaER1dTVEBOvXr1eaLgD4+OOP8eKLLwIACgoKADgaxbKyMuzduxcpKSmYNm1aj/2PGzcOJpNJWZ8xYwYqKipuOr/U1FRs2rRJWffz80NGRgaioqIwYcIEAIDBYEB4eHivuQ888ICyHB4eDpvNhsbGRrS0tMDX11f5m9FoxKVLlwAA8fHxf5jLjfOIiMg9sdkjIqJhy2AwKD+9kJ6ejtTUVOWyyvfeew/x8fE4e/YsJk2ahNbWVmVebW0tCgsLlbN6ALB69Wrk5+fDYrFgypQp+OSTT3o8l06nw+7du1FYWAiLxYLVq1fjhRdeuOlcX3/9dYwcORJ5eXnIyclBdHQ06uvr8dhjj+Hw4cPIzc1FRkYGpkyZ0mvu+vXrceHCBVgsFuWspN1ux4kTJ/Dwww/DYrFg3rx5SEhIwBdffIEzZ86gvr7+D3M5ffo0IiIiYLFYsGrVqpt+DURE5FpUcNy8R0RE5DIMBgPy8vIQGRmJ5uZmZ6dDRETkFDyzR0RELiUmJgZFRUXYu3cvGz0iInJrPLNHRERERETkgnhmj4iIiIiIyAWx2SMiIiIiInJBbPaIiIiIiIhcEJs9IiIiIiIiF8Rmj4iIiIiIyAX9PysqSf3zlo10AAAAAElFTkSuQmCC\n", | |
| "text/plain": [ | |
| "<Figure size 1080x864 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "57\n", | |
| "Germany -- Coefficients for y = 1/(1 + e^(-k*(x-x0))) are [38.08768128 0.15869407 0.9824887 ]\n", | |
| "Mean error for each coefficient: [0.00459925 0.02084309 0.00773448]\n" | |
| ] | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 1080x864 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "57\n", | |
| "Germany -- Coefficients for y = 1/(1 + e^(-k*(x-x0))) are [50.00427452 0.15276784 1.13211751]\n", | |
| "Mean error for each coefficient: [0.00764593 0.02886094 0.02242042]\n" | |
| ] | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 1080x864 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "54\n", | |
| "Norway -- Coefficients for y = 1/(1 + e^(-k*(x-x0))) are [30.2202501 0.14441189 0.9793625 ]\n", | |
| "Mean error for each coefficient: [0.00616754 0.0209437 0.00709174]\n" | |
| ] | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 1080x864 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "54\n", | |
| "Norway -- Coefficients for y = 1/(1 + e^(-k*(x-x0))) are [43.40469492 0.16189321 1.05142249]\n", | |
| "Mean error for each coefficient: [0.00506507 0.02157344 0.01217969]\n" | |
| ] | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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F89bzU6ZMGUmynZ8//vhDFy9eVIMGDWwzvleuXNHevXvVoEEDWwHMLFu3blVSUtI9nde4uDg5OzunGLu1NCVL69/A8ePHFRISopdeekkuLi5q3bq1Fi9ebHs8+Zy0atUqxc9o8nY/s7NS2j+fjo6OKlGixD39m70fefLkUZMmTfTLL79I+t+x9OrVK81jWbdunSSpY8eO+vTTTzVhwgRt2rRJO3fuTLH6a0bYsWOHWrZsqWLFiqlDhw6qXr36Hf+HEABIlD0Adig+Pl4TJ05Ujx49UhWEX3/9VS1atFChQoVsY7Vr15a7u/s9zbz89NNPcnBwkJ+fn7Zv366kpCTt27dPsbGxGjJkiA4ePKi///5b0s2y5+TkpOvXr9teX6hQIbVp0ybVfk+fPq0NGzZo1KhRatCgwV0v4YyMjLSVlp07d+rkyZN3zX4793JOQkJCVLZs2RS3KihXrpyefPLJe36fo0ePaujQoYqLi9Ojjz4q6eZnJd08V3eyadMmeXp63teloEuWLNGZM2c0efJkOTk92J2GTp8+rTNnzqhjx44pxjt16qTo6Gjt27fPNrZ9+3Z16tRJHh4e2rp1q6SbJaxHjx4qV65cirKXfNwZdVP3U6dO6dtvv9WIESPk5uaW6vEKFSrYLjk8ffq0qlSpkuKcN2/e/L7eb9GiRWrfvr3at28vFxeXFJe5/vLLL4qJiVG5cuVS/Iwmb1evXr2v9/r111/Vvn37FP+TpEOHDsqbN+99zZbei5EjR6p8+fIKCgqSdPP2DMnnK61jSS6DLi4uKf6dOzo6qnPnzin2nVGfeVxcnNasWaOZM2fa/h0BwO1wnz0AdunLL7/UiBEjVK9ePdvlY5I0adIk9evXT+vXr9f48eNVqFAhjRs3Tnv37tWyZcvuut/IyEgdOHBADRs2lJ+fn6Sbswnbt2/X888/r6+++sr23MuXL+u3337TyJEjdfnyZSUlJcnPz0/R0dEqUqRIqn3PmDFD33zzjcLCwrRx48b0n4RbtGvXLtV9x0JCQu7pnAQHB2v37t1asmSJhg8frtjYWPn7+ysiIiLFd6lutXz5cu3cuVOhoaGKjY3Viy++KCcnJ1sZ+vPPPyVJvr6++uGHH3T58mUdPnw41X7mzp2rAQMGaMOGDQoICNChQ4fk7u6u6tWr3/b7mXFxcercubPWrl2rHTt2KCgoSIcOHVL+/Pn12GOPqWnTpjp27Ngdz5kxRgEBAfryyy918eJFbdy4UQ0bNlS/fv00YsSIFL/gb926VRMnTtSff/5pu7x127Zt8vX11bVr17Rr1y7bcw8dOiRJ6tOnjxYtWqSYmBjt37//jlnupl+/ftqyZYt+//13TZo0STt37lS+fPnUsGFDDRgwQN26ddP+/fu1YsUKjR49WtOnT9fs2bPl6emp7t2739d7LVmyRBMmTNCECRO0detWhYeH2x6Ljo5WQECAAgMDVblyZW3dulWOjo6qXr26GjdurA4dOtzXe3344YcKDQ3VihUrNHXqVFWoUEHjx4/Xd999px07dtzXvv7poYce0t9//y1nZ2e5u7urc+fOatmypfz9/W0/n8YYDRkyRF9//bWKFCmidevWKT4+XlWrVlW7du304osvKjY2Vhs3btSAAQN09OhRRUZGasCAAan+B0Z6PnNvb2/16NFDK1as0KlTp1S+fHn16dNHP/zwwwMfP4Dcw/JVYtjY2NjSs6V1TzZJZvjw4cYYk+q2BrVq1TKbNm0y165dM1FRUWb+/Plp3mfvdqv1ffHFF8aYlPdVe+edd4wxxrz66qspnlutWjWzadMmc/XqVXPy5Enz9ttv3zZvvnz5THx8vPnggw8y9PykdT+7ZD4+Pvd0TqSb93Jbt26diY2NNSdOnDC9evUy69evN99+++1tP4uhQ4eakJAQc+nSJXP58mWzY8cO06ZNmxT7HT9+vDlz5oxJTEy86332vvrqKxMREWFiY2PNwYMHzZtvvnnX469atar56quvzIkTJ8z169fNpUuXzPbt282QIUNSrFCa1kqQyduAAQPMkSNHzPXr182xY8dS3Gcveatbt64xxpgvv/zSNla6dGljjEmx+mryNnjwYHPixAlz48aNVPdcu3Xl1OPHj6dY6v92W5EiRczo0aPNwYMHTWxsrLl8+bLZsmWL6d69e4rVLH18fMzRo0fNtWvXzOrVq80zzzyT5mqcd7pVwrZt24wxxvTu3TvNx7t27Wp+//13ExMTYyIjI82OHTvMoEGD7pj/dp9BkyZNbPfZi4iIuO199mrUqHHXc5T87ztZTEyMOXbsmJk3b57tvoq3bs8995zZunWruXr1qu0edx988IHJkyeP7XNevny5iY6ONuHh4Wb8+PG2W3b8M+eDfubVq1c3S5cuNadOnTJxcXEmLCzMTJ061bi6umbofyvY2Njsb3P4/z8AACzWsmVLrVmzRtWrV7/rjFN2UKRIEf3111/67LPP0vWdQQAAkDkoewBgsbJly8rDw0OffvqpTp06pdatW1sdKU19+vRRUlKSjhw5olKlSmnw4MGqWbOmatSooVOnTlkdDwAA3IIFWgDAYr1799amTZsUFxenN9980+o4t3X9+nUNHjxYa9eu1axZsxQbG6tmzZpR9AAAyKaY2QMAAAAAO8TMHgAAAADYoRx964Xz58+n695SAAAAQG710EMPSfrfrUGQM1WuXFmlS5dO87EcXfZOnjyZ4ga/AAAAAO7N5s2bJUmNGze2OAnSIyQk5LaPcRknAAAAANghyh4AAAAA2CHKHgAAAADYoRz9nb20uLq6auDAgapSpYocHBysjpNtGGN04sQJTZkyRVFRUVbHAQAAAJDJ7K7sDRw4UL///rtGjx6txMREq+NkG3ny5FGrVq00cOBA+fv7Wx0HAAAAQCazu8s4q1SpouDgYIreLRITE7V27VpVqVLF6igAAAAAsoDdlT0HBweK3m0kJiZyaSsAAACQS9hd2QMAAAAAUPYyRUJCgkJDQ7V//37t3r1bgwYNeuAZtaJFi6pfv362vzds2FCrV6/OqKgAAAAA7FSuL3ue3l56d/1yTdyzXe+uXy5Pb6907zM2Nlaenp6qWbOmmjdvLm9v7wdeFKVYsWLq379/ujMBAAAAyF1yddnz9PZSpwA/FS9XVg6Ojiperqw6BfhlSOFLduHCBfXu3VtvvPGGJMnR0VEff/yxfvvtN+3Zs0e9e/eWJBUsWFDff/+9du7cqb1796pNmzaSpHHjxqlatWoKDQ3Vxx9/LEkqVKiQli5dqoMHD2revHm29xo7dqz++OMP7dmzRxMmTMiwYwAAAACQ89jdrRfuh7dvXzm7uKQYc3ZxkbdvX4UGb8iw9zl+/LgcHR1VunRptW3bVtHR0apbt66cnZ21fft2bdiwQWFhYWrfvr2uXLmiEiVKaMeOHVq1apX8/PxUs2ZNeXp6Srp5Gaenp6dq1Kihs2fPavv27apXr54OHDig9u3b6+GHH5Z08/JPAAAAALlXrp7Zc3Urc1/j6ZH8nT0vLy9169ZNoaGh+vXXX1WiRAl5eHjIwcFBY8aM0Z49e/T999+rfPnyKlMm7Ry//fabzpw5I2OMdu/erSpVqujy5cuKi4vT9OnT1b59e8XExGT4MQAAAADIOXL1zF5UeISKlyub5nhGcnd3V2Jios6fPy8HBwe9+eab2rAh5cyhj4+PSpUqpSeffFIJCQk6fvy48ufPn+b+rl+/bvtzYmKinJyclJiYqLp166pp06bq3Lmz3njjDTVt2jRDjwMAAABAzpGrZ/aCA4MUHxubYiw+NlbBgUEZ9h4lS5ZUUFCQPvvsM0nS+vXr1a9fPzk53ezZHh4eKlCggIoWLarz588rISFBjRo1st38/MqVKypcuPBd36dgwYIqWrSo1q1bp4EDB6pWrVoZdgwAAAAAcp5cPbOX/L08b9++cnUro6jwCAUHBqX7+3ouLi4KDQ1V3rx5lZCQoK+//lqTJk2SJE2fPl1VqlTRrl275ODgoAsXLqhdu3aaP3++Vq9erZCQEO3evVsHDx6UJEVGRmr79u3at2+f1q1bp7Vr16b5noULF9bKlSuVP39+OTg4aNCgQek6BgAAAAA5m4MkY3WIBxUSEqI6deqkGJs7d666detmUaLsj/MDAAAASdq8ebMkqXHjxhYnQXqk1YmS5erLOAEAAADAXlH2AAAAAMAOUfYAAAAAwA5R9gAAAADADlH2AAAAAMAOUfYAAAAAwA5R9jLJm2++qQMHDigyMlLDhg2TJLVt21aPPPKIxckAAAAA5Aa5+qbqmal///5q2bKlTpw4YRtr166d1qxZY7thOgAAAABkFmb2MsHUqVNVtWpVrVq1SgMHDtSnn36qZ555Rm3atNGECRMUGhqqqlWrWh0TAAAAgB2z65m9yZN76vFaGVuq9uz+S4MGTb/jc/r166fnnntOjRs31vPPPy9J+uWXX7Rq1SqtWbNGy5Yty9BMAAAAAHAruy57AAAAAPBPnt5e8vbtK1e3MooKj1BwYJBCgzdYHStT2HXZu9sMHAAAAIDcw9PbS50C/OTs4iJJKl6urDoF+EmSXRa+TPvOXoUKFfTDDz/owIED2r9/v9566y1JkqurqzZs2KDDhw9rw4YNKlasmO01gYGBOnLkiPbs2SNPT8/MimaZK1euqHDhwlbHAAAAAHIlb9++tqKXzNnFRd6+fS1KlLkyrewlJCRoyJAhevTRR/X0009rwIABeuSRR+Tn56dNmzapevXq2rRpk/z8bjbpli1bysPDQx4eHurdu7emTp2aWdEss2jRIr399tvatWsXC7QAAAAAWczVrcx9jed0mXYZZ3h4uMLDwyVJV69e1cGDB1W+fHm1bdtWjRo1kiTNmTNHP/74o/z8/NS2bVvNnTtXkvTrr7+qWLFicnNzs+0jp3F3d5d08xjnzJkjSfr5559Vo0YNK2MBAAAAuVZUeISKlyub5rg9ypJbL1SuXFmenp769ddfVaZMGVuBCw8PV+nSpSVJ5cuXV1hYmO01p0+fVvny5bMiHgAAAIBcIDgwSPGxsSnG4mNjFRwYZFGizJXpC7QULFhQy5Yt08CBA3XlypXbPs/BwSHVmDEm1VivXr3Uu3dvSVLJkiUzLigAAACAHOV+V9ZMfozVODNi505OWrZsmebPn69vv/1WkhQREWG7PNPNzU3nz5+XdHMmr2LFirbXVqhQQWfPnk21z2nTpmnatGmSpJCQkFSPG2OUJ08eJSYmZsYh5Wh58uRJs0ADAAAAOc2DrqwZGrzBbsvdrTL1Ms4ZM2bo4MGDmjx5sm1s1apV8vHxkST5+Pho5cqVtvFu3bpJkp566ilFR0c/0Pf1Tpw4oVatWilPnjwZcAT2I0+ePGrVqpVOnDhhdRQAAAAg3XLbypoPItNm9urVq6du3bpp7969Cg0NlSSNGDFC48aN05IlS/T666/r1KlT6tixoyQpODhY3t7eOnr0qGJiYtS9e/cHet8pU6Zo4MCBeuGFF9K8NDS3MsboxIkTmjJlitVRAAAAgHTLbStrPohMK3vbt2+/bdlq1qxZmuNvvPFGut83KipK/v7+6d4PAAAAgOwrt62s+SCyZDVOAAAAAMhIWbmypqdnNX344asZvt/MRtkDAAAAkOOEBm/QkoBxijx7TiYpSZFnz2lJwLgMXXylevXyWrR4mHbumqLefZ5TuXLFM2zfWSHTb70AAAAAAJkhs1bWrFChpPz9X5bPa00VFxev0aMW6pNPvtWVK7F3f3E2QtkDAAAAAEklShTR8OEvqv+AVnJwcNDnn63RmDFLdeFCtNXRHghlDwAAAECuVqBAPg0Z0l5DhrZXwYL5NHfuZo0KWKBTpy5YHS1dKHsAAAAAcq0uXRpq3PjXVKFCSS1f/rPef2+eDh4MszpWhqDsAQAAAMh1atf20JTAXvrPfx7Rzp1H9XLnCdq+/YDVsTIUZQ8AAABArlG2bHF9NKabXnutqcLDo/R6j0DNnr1Jxhiro2U4yh4AAAAAu5cvX14NHtxOw0d0VN68Tvp4/Df66KMlOW6FzftB2QMAAABg15o399QXU/upWrWyWrFih94eOlPHjp2zOlamo+wBAAAAyBY8vb3k7dtXruUlJu4AACAASURBVG5lFBUeoeDAoHTdR6906WL6ZNLr6tq1kQ4fPqPmzd7Tpk17MjBx9kbZAwAAAGA5T28vdQrwk7OLiySpeLmy6hTgJ0n3XfgcHBzUo0dzjf/4NRUqlF+jRy3U2LFLdf36jQzPnZ05Wh0AAAAAALx9+9qKXjJnFxd5+/a9r/08/HAFbf5xjKZNf1P79p1UrcffUkDAglxX9CRm9gAAAABkA65uZe5r/Fb58uXViBGdNMzvBV29GmfXq2zeK8oeAAAAAMtFhUeoeLmyaY7fzZNP/ktz5g7So49W0tdfb9bQITN04UJ0ZsTMUbiMEwAAAIDlggODFB+b8jYI8bGxCg4Muu1rnJzyKCCgi37ZMVFFihRQy+f85dNtEkXv/zGzBwAAAMByyYuw3OtqnDVqVNKcuYP1xBPVNHfuDxro+5UuXbqWlZGzPcoeAAAAgGwhNHjDXVfedHR01JAh7TT6g1cUHX1NL3QYo2+//SWLEuYslD0AAAAAOUK1amU1e85A1av3qJYv/1n9+n7BJZt3QNkDAAAAkO11795M//20j27cSNCrr3yi+fN/tDpStkfZAwAAAJBtFSrkoqlB/dW1ayNt2rRHr/lM1pkzF62OlSNQ9gAAAABkS56e1bRo8TuqWrWM3n/va40d+42SkpKsjpVjUPYAAAAAZDtvvtlaH0/orgsXotWk8bvatu0PqyPlOJQ9AAAAANmGq2shzZjpq3btntbq1b+pR/dAXbx42epYORJlDwAAAEC28MwzD2vhonfk5lZMgwdN15QpK62OlKNR9gAAAABYrn9/b02e0kunTl1Q/XrD9PvvR6yOlONR9gAAAABYJl++vPrii37q3qO5Vq/+Td1enaTo6GtWx7ILlD0AAAAAlihfvoSWLR+hunWr64PRixQQsEDGGKtj2Q3KHgAAAIAsV7/+o1r6jZ8KFMin9u0+0sqVO6yOZHccrQ4AAAAAIHfp399bm374SJcuXdNTdYdQ9DIJM3sAAAAAssSt38979ZVPdPlyjNWx7BZlDwAAAECmK1myiFasfE//+c8jfD8vi1D2AAAAAGQ4T28vefv2latbGeW5HKEXqsWoRLH86vjiWC1b9rPV8XIFyh4AAACADOXp7aVOAX5ydnFR+QI31OZRZyWavOo7bAlFLwuxQAsAAACADOXt21fOLi56uGicOlSJVkyioxb/5apKz7W3OlquwsweAAAAgAzl6lZadUvFqF6ZGIVdc9LqU0V0PdFRrm5lrI6Wq1D2AAAAAGSYvHmd1KjERT1RxlEHovLp+7OFlGgcJElR4REWp8tdKHsAAAAAMkSRIgW0bPkIPVHeUT+dyauQqEKSbha9+NhYBQcGWRswl6HsAQAAAEi3UqWKat13o/TYY5X1ms9k7fvbybYaZ1R4hIIDgxQavMHqmLkKZQ8AAABAulSsWEobNo5WxYql1LbNh/ruu52SRLmzGGUPAAAAwAOrXr28Nmz8QEWLFlALr5Havv2A1ZHw/yh7AAAAAB5IrVpV9d36UZKkxo1GaPfuvyxOhH/iPnsAAAAA7lv9+o9q849jFBd3Qw3qD6PoZUOUPQAAAAD3pWXLJ7V+w2idOxel+vXe0ZEjZ62OhDRQ9gAAAADcs06d6mvFyvd04ECYnm0wTKdP/211JNwGZQ8AAADAPenSpaHmLxiqn3/+U02bvKu//75sdSTcAQu0AAAAALirl19uqDlzB2nLlv1q/fwHio29bnUk3AUzewAAAADu6OWXG2ru14N1MtpB+0s10uAVC+Xp7WV1LNwFM3sAAAAAbqtz52c19+vBOn3NSWvPuSrRwUHFy5VVpwA/Sdw4PTtjZg8AAABAml56qYG+njdYp6KlVWGuSjAOtsecXVzk7dvXwnS4G8oeAAAAkMt4enup8r9rqFptT727fnmal2R26lRf8+YP0U8/HdTqMyVSFL1krm5lsiIuHhBlDwAAAMhFPL291CnAT0758kn/uCTzn4WvY8f6mjd/qLZvP6jnW43ShXPn09xXVHhEVsXGA6DsAQAAALmIt29fObu4pBj75yWZL7zwn/+/vcJBtfIepWvX4hQcGKT42NgUr4mPjVVwYFCW5cb9Y4EWAAAAIBe53aWXrm5l5OXlqfkLhmrHjkO2oif9bxEWb9++cnUro6jwCAUHBrE4SzZH2QMAAABykajwCBUvVzbVeKHY81q2fIT++OOUWj8/2lb0koUGb6Dc5TBcxgkAAADkImldkllU19S5RoLOno1Uy+cCFB19zaJ0yEjM7AEAAAC5SPLs3Etfz5OTs7NM1Dm1qRGvy5di5dX8fZ0/f8nihMgolD0AAAAglwkN3qCTe/+Qs7OT2pW/KCUVUAuvkTp5Mu1VN5EzUfYAAACAXMjJKY/+/W93JZmzatrkPR08GGZ1JGQwyh4AAACQyxQokE+PPVZFBQo4q1mzj/T770esjoRMwAItAAAAQC7i7OykZctHqEgRFx04EKbNm/daHQmZhLIHAAAA5CLTZ7ylFi2e0KFDZ/T335etjoNMRNkDAAAAcolRo7rqlVca690RcxUeHmV1HGQyyh4AAACQC/j4NNX7IztrxvQNGjt2qdVxkAUoewAAAICda9Lk3/pq2hvauDFU/fp9YXUcZBHKHgAAAGDHatSopGXLR+jPP0+r44vjlJCQaHUkZBHKHgAAAGCn3NxctWatv65di9PzrUbr8uUYqyMhC3GfPQAAAMAOFSiQT6tWv68SJQqr4bPDFRZ2wepIyGKUPQAAAMDOODo6asHCt+XpWVVt23yo0NBjVkeCBTLtMs4ZM2YoIiJC+/bts40tWrRIoaGhCg0N1fHjxxUaGipJqly5smJiYmyPTZ06NbNiAQAAAHZv8uSeatPmKb315lcKDv7d6jiwSKbN7M2ePVufffaZ5s6daxvr3Lmz7c8TJ05UdHS07e/Hjh2Tp6dnZsUBAAAAcoXevZ/Tm2+11qRPvtXUqcFWx4GFMq3sbdu2TZUrV77t4506dVKTJk0y6+0BAACAXKd+/Uf16Wd9FBz8u955Z7bVcWAxS1bjbNCggSIiInT06FHbmLu7u3bt2qUff/xR9evXv+1re/XqpZCQEIWEhKhkyZJZERcAAADI9ipWLKVvlg3X8eMR6tplopKSkqyOBItZskDLyy+/rIULF9r+fu7cOVWqVEmRkZF64okntGLFCtWoUUNXrlxJ9dpp06Zp2rRpkqSQkJAsywwAAABkVy4u+bT82xHKly+v2rb5UNHR16yOhGwgy2f28uTJow4dOmjx4sW2sfj4eEVGRkqSdu3apWPHjql69epZHQ0AAADIkb6a9oY8Pavqla6f6NCh01bHQTaR5WWvWbNm+vPPP3XmzBnbWMmSJeXoeDOKu7u7PDw89Ndff2V1NAAAACDHGTq0vbp2baT335untWu58g3/k2llb8GCBfrll1/00EMPKSwsTD169JB0c0XOf17CKUnPPvus9u7dq927d+ubb75R3759FRUVlVnRAAAAALvQosUTGjf+NS1Z8pPGjl1qdRxkMw6SjNUhHlRISIjq1KljdQwAAAAgy3l4lNOvv32iEyfOq369dxQTc/2+Xr9582ZJUuPGjTMjHrLInTqRJatxAgAAAHhwhQu7aMXK95SQkKT27T6676KH3MGS1TgBAAAAPLg5cwfLw6Ocmjd7TydPnrc6DrIpyh4AAACQgwwd2l7t2j2tQQOnacuW/VbHQTbGZZwAAABADlG//qMaM9ZH33yzXYGBq6yOg2yOsgcAAADkAKVKFdXCRe/o+PEI9Xz9v1bHQQ7AZZwAAABANufo6Kj5C4aqePFCauUdoMuXY6yOhByAsgcAAABkc++//5KaNaulnq//V3v3nrA6DnIILuMEAAAAsrHmzT31/sjOmj17k2bO3Gh1HOQglD0AAAAgmypfvoTmzR+iP/44pQH9p1odBzkMZQ8AAADIhpyc8mjR4neUP39edeo4XrGx3Dgd94fv7AEAAADZ0NixPqpX71G93PljHTp02uo4yIGY2QMAAACymdat62rI0Pb64vO1Wrx4m9VxkENR9gAAAIBspGzZ4pox01e7dh3T4MHTrY6DHIyyBwAAAGQTDg4OmjN3kFxcnNXl5QmKj0+wOhJyML6zBwAAAGQTQ4a0U7NmtdSr56c6fPiM1XGQwzGzBwAAAGQDTzxRTR9+9KqWLftZM2ZssDoO7ABlDwAAALBYgQL5NH/BUJ0/H63evT61Og7sBJdxAgAAABabMqWXPDzKqWmTdxUVddXqOLATzOwBAAAAFurQ4T/q2auFxo/7Rlu27Lc6DuwIZQ8AAACwSIUKJfXVtDf022+H5e+/wOo4sDOUPQAAAMACjo6Omvv1YDk7O6lrl4lKSEi0OhLsDN/ZAwAAACwwbNgLatToMb3mM1nHjp2zOg7sEGUPAAAAyGJPPFFNAaO6aNGirZo794d078/T20vevn3l6lZGUeERCg4MUmgwt2/I7Sh7AAAAQBbKly+vZs8ZpPPno9W/3xfp3p+nt5c6BfjJ2cVFklS8XFl1CvCTJApfLsd39gAAAIAsNGpUF9WsWVk9X/+vLl26lu79efv2tRW9ZM4uLvL27ZvufSNnY2YPAAAAyCLPPPOwhgxtr2lffaf163el+Zz7vSTT1a3MfY0j92BmDwAAAMgCBQrk0+w5gxQW9reGDJmZ5nOSL8ksXq6sHBwdbZdkenp73Xa/UeER9zWO3IOyBwAAAGSBsWN95OFRTj26B+rq1dg0n/Mgl2QGBwYpPjbl/uJjYxUcGJT+0MjRuIwTAAAAyGSNGj2mN99qrU//u1o//rjvts97kEsyky/xZDVO3IqyBwAAAGSiwoVdNHOWrw4fPiM/vzl3fG5UeISKlyub5vidhAZvoNwhFS7jBAAAADLRxIk9VLFiSXV/bYpiY6/f8blckomMxMweAAAAkEmee+5J9er9nD4e/41++eXPuz6fSzKRkSh7AAAAQCYoVqygpk1/U3/8cUr+/gvu+XVckomMQtkDAAAAMsGUwN4qU6aY2rb5QNev37A6DnIhyh4AAACQwVq0eELdujXRhx8sknGrpnfXT+CyTGQ5yh4AAACQgQoWzK+gLwfo4MEwrfn9ojoF+NnunZd8k3RJFD5kOlbjBAAAADLQRx+9qooVS6pXz0/VfEDv+75JOpBRKHsAAABABnnqqYf0xpvPa+oXwfr554MPdJN0IKNQ9gAAAIAMkDevk6ZNf1NnzlzUiBFzJd3+Zuh3u0k6kBEoewAAAEAG8PN7UTVrVlb/flN15crNG6Nzk3RYiQVaAAAAgHR65JGKeve9Tlq4cIvWrg2xjXOTdFiJsgcAAACkg4ODg6ZNf1NXrsRqoO+0VI9zk3RYhbIHAAAApEP//t76z38ekU+3SbpwIdrqOIAN39kDAAAAHlDFiqU0Zmw3rV+/S19/vdnqOEAKlD0AAADgAX0xtZ8cHR3Vt8/nVkcBUuEyTgAAAOABvPRSA7VqVUeDBk7TyZPnrY4DpMLMHgAAAHCfihQpoEmTeyok5Ig+/XSN1XGANDGzBwAAANynDz54RWXKFFOb1h8oKSnJ6jhAmpjZAwAAAO6Dp2c19R/gralfBGvnzqNWxwFui7IHAAAA3CNHR0dNDeqvCxcu67335lkdB7gjLuMEAAAA7lGvXl6qW7e6Xuk6UdHR16yOA9wRM3sAAADAPShVqqjGjPXRDz/s0YIFW6yOA9wVZQ8AAAC4Bx9P6K6CBfNpQP8gq6MA94SyBwAAANzFs8/WlI9PU02c8K0OHTptdRzgnlD2AAAAgDvIm9dJn3/RT8ePR+ijj5ZYHQe4ZyzQAgAAANzBwIFtVKNGJbV+frRiY69bHQe4Z8zsAQAAALdRqVIpjfR/Wd9++4vWrg2xOg5wXyh7AAAAwG1MntJLkjTQd5rFSYD7x2WcAAAAQBqee+5JtW//jPyGzVZY2AWr4wD3jZk9AAAA4BZ58zpp8pSeOnTotCZPXml1HOCBMLMHAAAA3OKtt1rroYcqyLtlgG7cSLA6DvBAmNkDAAAA/qFMmWJ6f2RnrV79m777bqfVcYAHxsweAAAA8A9jxvoof/68GjJ4epqPe3p7ydu3r1zdyigqPELBgUEKDd6QxSmBu6PsAQAAAP+vbt3q6t69mcaP+0ZHj55L9bint5c6BfjJ2cVFklS8XFl1CvCTJAofsh0u4wQAAAAkOTg4KPC/vXX27EV99NGSNJ/j7dvXVvSSObu4yNu3b1ZEBO4LM3sAAACApG7dmuippx5St1cn6erV2DSf4+pW5r7GASsxswcAAIBcr3BhF40d56Offz6o+fN/vO3zosIj7mscsBJlDwAAALne++93VunSReX71lcyxtz2ecGBQYqPTTnrFx8bq+DAoMyOCNy3TCt7M2bMUEREhPbt22cb8/f31+nTpxUaGqrQ0FC1bNnS9pifn5+OHDmiP//8U15eXpkVCwAAALDx9PbS5G3LNWhoB+06KyWVqXrH54cGb9CSgHGKPHtOJilJkWfPaUnAOBZnQbaUad/Zmz17tj777DPNnTs3xfjkyZP1ySefpBh75JFH1LlzZ9WoUUPlypXT999/r+rVqyspKSmz4gEAACCXu7my5jC1efiGEpIS9PuVkve0smZo8AbKHXKETJvZ27ZtmyIjI+/puW3bttWiRYsUHx+vEydO6OjRo6pbt25mRQMAAADk7dtXD5V2knvhG/rlfAHFJjqysibsSpZ/Z++NN97Qnj17NGPGDBUrVkySVL58eYWFhdmec/r0aZUvXz7N1/fq1UshISEKCQlRyZIlsyQzAAAA7E+JsqXV0O2qLsbl0Z6L+W3jrKwJe5GlZW/q1KmqVq2aatWqpXPnztku53RwcEj13Nt9MXbatGmqU6eO6tSpo7///jtT8wIAAMB+eeT9W675krQ1vKCS9L/fR1lZE/YiS8ve+fPnlZSUJGOMpk2bZrtU8/Tp06pYsaLteRUqVNDZs2ezMhoAAAByEVfXQqpf/oaORzvqxNW8tnFW1oQ9ydKy5+bmZvtz+/bttX//fknSqlWr1LlzZzk7O6tKlSry8PDQb7/9lpXRAAAAkIu8995LKlQgr/yGz1Pk2XBW1oRdyrTVOBcsWKBGjRqpZMmSCgsLk7+/vxo1aqRatWrJGKMTJ06oT58+kqQDBw5oyZIlOnDggBISEjRgwABW4gQAAECmqFatrAa80UqzZn6vpVMXSlMXWh0JyBQOkm5/18hsLiQkRHXq1LE6BgAAAHKQpd8MV4sWnvL4V29FRFyyOo5lNm/eLElq3LixxUmQHnfqRFm+GicAAABglQYNauiFF/6j8eO+ydVFD7kDZQ8AAAC5goODgyZ+8rrCwi5o0qSVVscBMl2mfWcPAAAAyE66dGmoOnU81O3VSYqNvW51HCDTMbMHAAAAu5c/v7M+GtNNv/9+RPPn/2h1HCBLMLMHAAAAuzdoUFtVqlRKr77yiYzJsesTAveFmT0AAADYtTJlislv+Itavvxnbdv2h9VxgCxD2QMAAIBdGzWqq/Lnd5bfsNlWRwGyFGUPAAAAdqtGjUp6vWdzff7ZWh09es7qOECWouwBAADAbo0b/5ouX47VBx8ssjoKkOUoewAAALBLDRvWVKtWdTR2zBJFRV21Og6Q5Sh7AAAAsEvjxr+msLAL+uyztVZHASzBrRcAAABgd1544T966qmH1P21KYqLi7c6DmAJZvYAAABgV5yc8uijMd20f/9Jff31ZqvjAJZhZg8AAAB25fXXm6t69fJq/fxoJSUlWR0HsAwzewAAALAbBQvml39AF23dul9r14ZYHQewFDN7AAAAsBuDBrWVm5urOrT/yOoogOWY2QMAAIBdKFmyiN5+p4OWL/9ZO3YcsjoOYDnKHgAAAOzCe++9JBeXfBoxfK7VUYBsgbIHAACAHM/dvYz69mupmTM26vDhM1bHAbIFyh4AAAByvA8+fFUJCUkaNWqh1VGAbIOyBwAAgBzN07OaunRpqCmTV+rcuUir4wDZBmUPAAAAOdrYcT66ePGyPv54mdVRgGyFWy8AAAAgx2rS5N/y8vLUkMHTdflyjNVxgGyFmT0AAADkWB+N6aZTpy7oiy+CrY4CZDvM7AEAACBHat26rp566iH16vmprl+/YXUcINuh7AEAACDHcXBw0IcfvarDh89ozpxNtnFPby95+/aVq1sZRYVHKDgwSKHBGyxMCliHsgcAAIAcp3PnZ/XYY1X0cuePlZCQKOlm0esU4CdnFxdJUvFyZdUpwE+SKHzIlfjOHgAAAHIUJ6c8ChjVRXv2HNeSJT/Zxr19+9qKXjJnFxd5+/bN6ohAtsDMHgAAAHKU115rKg+PcmrTerSMMbZxV7cyaT7/duOAvWNmDwAAADlGvnx59f7Izvrllz+1Zk1IiseiwiPSfM3txgF7R9kDAABAjtG3b0tVrFhK7737darHggODFB8bm2IsPjZWwYFBWRUPyFa4jBMAAAA5QqFCLho+oqO+/363Nm/em+rx5EVYWI0TuImyBwAAgBzB17e1SpculuasXrLQ4A2UO+D/cRknAAAAsj1X10IaMrS9Vq7cod9+O2x1HCBHoOwBAAAg23v77Q4qUqSARr4/3+ooQI5B2QMAAEC2VqZMMb3l20YLF27Vvn0nrI4D5BiUPQAAAGRrI0Z0krOzkwL8F1gdBchRKHsAAADItipWLKXefZ7TrJkbdezYOavjADkKZQ8AAADZ1ogRHeXgIH344RKrowA5DmUPAAAA2VLlyqXVvUczTZ+2QWFhF6yOA+Q4lD0AAABkS+++20nGSGPHLrU6CpAjUfYAAACQ7VSt6qbXejTXrnBHDQpepXfXL5ent5fVsYAcxcnqAAAAAMCtJgUNknFw1L5YVzk4Oqp4ubLqFOAnSQoN3mBxOiBnYGYPAAAA2cq//lVWzzd7RHsj8+taQh7buLOLi7x9+1qYDMhZKHsAAADIVt4f+bISjYN+v1Ag1WOubmUsSATkTJQ9AAAAZBsPP1xBXbo8qx0nExWTmPpX1ajwCAtSATkTZQ8AAADZxvsjOys2Nl4BI2YqPjY2xWPxsbEKDgyyKBmQ87BACwAAALKFRx+tpJdeaqDx477R5kWrdOlynLx9+8rVrYyiwiMUHBjE4izAfaDsAQAAIFsY6f+yrl6N0yefrJB0c9VNyh3w4LiMEwAAAJZ77LEq6tSpvgKnrFJk5BWr4wB2gbIHAAAAy/kHvKxLl65q8uQVVkcB7AZlDwAAAJby9KymDh3+o8mTVurSpWtWxwHsBmUPAAAAlhrp31lRUVcVGLjK6iiAXaHsAQAAwDK1alVV27ZPa/KkFbp8OcbqOIBdoewBAADAMu+P7KxLl67qv/9dbXUUwO5Q9gAAAGCJf/+7itq3f0aBU1YxqwdkAsoeAAAALPHe+50VHX2N7+oBmYSyBwAAgCxXs2ZlvfhiPf03cDUrcAKZhLIHAACALPfe+511+XKMpkxZaXUUwG45WR0AAAAAuYOnt5e8ffvqX5VL6MXq0Zq5+HdFRV21OhZgt5jZAwAAQKbz9PZSpwA/FS9XVk+XiVNCkqOuVW8oT28vq6MBdouyBwAAgEzn7dtXzi4uKp4vQdWLxmt3ZH4lOReQt29fq6MBdouyBwAAgEzn6lZGklS3VKxuJEk7/3ZJMQ4g41H2AAAAkOmiwiPk6pygh4pe155IF8UlOtrGAWQOyh4AAAAyXXBgkGoXv6JE879ZvfjYWAUHBlmcDLBfrMYJAACATHf1yH494npDv5wyirkhRYWfU3BgkEKDN1gdDbBblD0AAABkuhHvdtL16zf04lM9df78JavjALkCl3ECAAAgU1Wt6qauXRvpy6B1FD0gC2Va2ZsxY4YiIiK0b98+29jHH3+sgwcPas+ePVq+fLmKFi0qSapcubJiYmIUGhqq0NBQTZ06NbNiAQAAIIsNH95RCQmJmjBhudVRgFwl08re7Nmz9dxzz6UY27hxo2rWrKnHH39chw8f1vDhw22PHTt2TJ6envL09FS/fv0yKxYAAACyUMWKpdTNp4mmT1uv8PAoq+MAuUqmlb1t27YpMjIyxdjGjRuVmJgoSdqxY4cqVKiQWW8PAACAbGDYsBdkjNHHHzOrB2Q1y76z16NHD61bt872d3d3d+3atUs//vij6tevf9vX9erVSyEhIQoJCVHJkiWzIioAAAAeQNmyxdXj9eaaM3uTTp/+2+o4QK5jyWqcI0aMUEJCgubPny9JOnfunCpVqqTIyEg98cQTWrFihWrUqKErV66keu20adM0bdo0SVJISEiW5gYAAMC9Gzq0vZyc8mjcuG+sjgLkSlk+s9etWzc9//zz6tq1q20sPj7edsnnrl27dOzYMVWvXj2rowEAACCDlCxZRH36ttSCBVt0/HiE1XGAXClLy16LFi00bNgwtWnTRrGxsbbxkiVLytHxZhR3d3d5eHjor7/+yspoAAAAyECDBrVV/vx5NXbMUqujALlWpl3GuWDBAjVq1EglS5ZUWFiY/P39NXz4cOXLl08bN26UdHORln79+unZZ5/V6NGjlZCQoMTERPXt21dRUazWBAAA/o+9u4+vuf7/OP48u+IYs7naBSKlUsgqulDkaunkMrZCCGEhE5WRmIuy9EVTaSWXfZNISIYhSnSxWIRErpONMmw6dnl+f/jar8Ucm53zOdse99vt3L7b+5zP2bM/vt2+z+/r/Xl/UBz5+ZXX4CHttGTJFv366+9GxwFKLYeVve7du1+2NmfOnCt+9rPPPtNnn3FCEwAAQEnw3HPt5ONTTq+9utjoKECpZthpnAAAACh5KlQwK2JYRy1f/p1+/vmw0XGAUo2yBwAAgCIzaNBj8vMrr1cnfWJ0FKDUo+wBAACgSJQrV0bDR3TS6tXbtG3bb0bHAUo9yh4AAACKxIABbVW1akWmeoCLoOwBN2BrlQAAIABJREFUAADgupUp46kXXuysL7/coa1bfzE6DgA58DROAAAAlB59+7ZRUFBl9XxqmtFRAPwPkz0AAABcFw8Pd700sou2bv1FGzfuNDoOgP9hsgcAAIDr0qPHw6pVq5oGPTvT6CgA/oHJHgAAAArNzc1NkaO6KjHxgFav3mZ0HAD/wGQPAAAAhdalywO69dYaCguNNjoKgH+h7AEAAKDAgi0hskSE67mHyurU+SwdulDe6EgA/sXuNs6hQ4eqQoUKkqQPPvhA27ZtU5s2bRweDAAAAK4p2BKisKhI3X1LZVUzZ2t7SgV1HTtSwZYQo6MB+Ae7Za9v375KTU1VSEiIqlatqj59+ig6mjE9AABAaWWJCJeXuayaVPtb5zLctPdMGXmZzbJEhBsdDcA/2C17JpNJkmSxWDR37lzt3Lkzdw0AAAClj1+Av2p4ZyqoXJZ+/NOsHJly1wG4Drtlb9u2bVq7dq0sFovWrl2r8uXLKycnxxnZAAAA4IJSkpLVpKpV5zNN2pVSNs86ANdh94CWfv36qVGjRjp48KCsVqsqVaqkPn36OCMbAAAAXNCR1ctUKyRMXyeVU7bt4lQvw2pVXEyswckA/JPdsmez2ZScnKzbb79dHh4c3gkAAFDaPd78Bp1NvaCvdmfKu2pZpSQlKy4mVolx8UZHA/APdttbdHS0nnjiCe3Zs0fZ2dmSLhbAzZs3OzwcAAAAXMsdd9ygTp3u0/iohRo//mOj4wC4Crtlr1OnTrr11luVkZHhjDwAAABwYZGjQpWWZtVbb31hdBQAdtg9oOXgwYPy9PR0RhYAAAC4sDp1AvTkkw8p9t3VOn061eg4AOzId7I3Y8YM2Ww2/f333/rpp5+0YcMGpaen574fERHhlIAAAABwDSNHdlFmZramTVtudBQA1yDfsvfjjz9Kuvjohc8//zzPezabzbGpAAAA4FKqV6+s3k+30uwP1ikpKcXoOACuQb5lb8GCBZKkoUOHasaMGXneGzp0qGNTAQAAwKWMGNFZbm5umjJlqdFRAFwju/fs9e7d+7K1p59+2hFZAAAA4IIqV/ZR/wGPaOHCr3TkyEmj4wC4RvlO9p588kl1795dN954o1asWJG7XqFCBf31119OCQcAAADjDR3aXt7eZfV69KdGRwFQAPmWva1bt+rEiROqUqWKpk6dmruempqqnTt3OiUcAAAAjFWhgllDnmunzz7bql9+OWZ0HAAFkG/ZO3r0qI4ePaoHHnjAmXkAAADgQgYObCs/v/KKnsxUDyhu7N6zd++99+qHH35Qamqq0tPTlZWVpbNnzzojGwAAAAxUpoynnh/eSevWJerHH/cbHQdAAdkte2+//ba6deum/fv3y2w265lnntFbb73ljGwAAAAw0NNPt1JgYCWmekAxle82zn86cOCA3N3dlZOTo3nz5mnLli2OzgUAAAAnCraEyBIRLr8Af6UkJWvtW+/pxZe66Lvv9mrjRs5rAIoju2Xv77//lqenp3766Se9/vrrOnHihLy9vZ2RDQAAAE4QbAlRWFSkvMxmSVKloEC98uYI1amTruHPf2BwOgCFZXcbZ8+ePeXm5qYhQ4bo/Pnzqlmzprp06eKMbAAAAHACS0R4btG7yKb7q2cpOc2mlSt/MCwXgOtjd7J39OhRlS1bVoGBgZowYYIzMgEAAMCJ/AL88/xep0KGqpTN1uqj5WWz2QxKBeB62Z3stWvXTj/99JPWrFkjSbrzzjvzPGQdAAAAxVtKUvI/frOpSVWrzma46btfzxiWCcD1s1v2oqKi1KRJE505c/G/7Dt27FDt2rUdnQsAAABOEhcTqwyrVZJUwztTgeWy9N0fHvrizViDkwG4Hna3cWZlZencuXPOyAIAAAADJMbFS7p4717n+81KTbcpatibuesAiie7ZW/Xrl3q1q2b3N3ddfPNN2vo0KHaunWrM7IBAADASRLj4uWWfFATf5yukS/N0/crVhsdCcB1sruN87nnntMdd9yh9PR0ffzxxzp37pyGDRvmjGwAAABwoshRoUpJSVNsLEUPKAnsTvasVqvGjBmjMWPGOCMPAAAADHDbbTXUufN9eu3VxUpNtRodB0ARuOpkr1evXtq2bZvS0tKUlpamhIQE9ezZ01nZAAAA4CQvjeyqCxcyNWPGSqOjACgi+U72evbsqWHDhmn48OHavn27TCaT7rrrLr3xxhuSpA8//NBpIQEAAOA4NWtWVY8ezfXuzDj9+ScH8wElRb6TvUGDBqlz587atGmTzp07p7Nnz2rjxo3q0qWLBg0a5MyMAAAAcKARIzpJkqZOXW5wEgBFKd+y5+PjoyNHjly2fuTIEfn4+Dg0FAAAAJyjShUfPdP/Ef33v5t07Ngpo+MAKEL5lj2rNf8bc6/2HgAAAIqPoUPbq2xZT70xZanRUQAUsXzv2atXr5527Nhx2brJZFKdOnUcGgoAAACFF2wJkSUiXH4B/kpJSlZcTOwVH5BeoYJZg4e00/Ll32nv3t8NSArAka5a9gAAAFC8BFtCFBYVKS+zWZJUKShQYVGRknRZ4RswoK38/MorevKnTs8JwPHyLXtHjx51Zg4AAAAUAUtEeG7Ru8TLbJYlIjxP2fPy8tDzwztq/fqf9OOP+50dE4AT2H2oOgAAAIoPvwD/a1rv3buVgoIqq1fPac6IBcAAV32oOgAAAIqXlKRku+vu7m568aXH9cMP+/TllzudFQ2Ak+Vb9tavXy9Jio6OdloYAAAAXJ+4mFhl/Ovk9AyrVXExsbm/d+3aVDffHKTXo7lXDyjJ8t3GGRgYqGbNmqlDhw5atGiRTCZTnvcTExMdHg4AAAAFc+m+vKudxjkysqt++eWYli//zqiYAJwg37I3duxYRUZGqkaNGpo2Le9ebpvNplatWjk8HAAAAAouMS7+io9akKS2be9Wo0Z11OfpN2Wz2ZycDIAz5Vv2li5dqqVLl2rMmDGaNGmSMzMBAADAQSJHddXRo6e0cOFXRkcB4GB2T+OcNGmS2rdvr2bNmkmSNm3apFWrVjk8GAAAAIrWAw/UU7Nm9RUx9H1lZmYZHQeAg9k9jfO1115TRESE9uzZoz179igiIkKvvfaaM7IBAACgCEWOCtWpU2f1wQdX3uIJoGSxO9l77LHH1KhRo9w93fPnz1diYqJGjx7t8HAAAAAoGg0a1Fa7do019pX/ympNNzoOACe4pufs+fr65v5csWJFh4UBAACAY4yM7KrU1L/19ttfGB0FgJPYnexNnjxZiYmJ2rhxo0wmk5o1a6ZRo0Y5IxsAAACKQJ06AXriiQc1fdoKnTlz3ug4AJzEbtlbtGiRNm3apMaNG8tkMmnkyJFKTk52RjYAAAAUgRdffFxZWTmaPn2F0VEAOJHdsidJSUlJWrlypaOzAAAAoIgFBPjp6T6tNX/eBp04cdroOACc6Jru2QMAAEDx9PzzHeXh4aYpU5YaHQWAk1H2AAAASihfX2+FP/uoFi/+RgcPJhkdB4CTXbXsmUwm/fzzz87KAgAAgCI0aNBjqlChnF6P/tToKAAMcNWyZ7PZtGPHDtWsWdNZeQAAAFAEzOYyihjWQatWJWjnzsNGxwFgALsHtAQGBmr37t364YcfdP78/x/V27FjR4cGAwAAQOH169dGVatWVPRkpnpAaWW37I0fP94ZOQAAAFBEPDzcNeKFztq8ebe2bNljdBwABrFb9r7++mvdcMMNqlu3rjZs2CCz2Sx3d3dnZAMAAICkYEuILBHh8gvwV0pSsuJiYpUYF5/v57t3b65atapp0LMznZgSgKuxexrnM888o08//VTvvfeeJKl69epavny5w4MBAADgYtELi4pUpaBAmdzcVCkoUGFRkQq2hFzx8yaTSS+N7KIdOw5p9eptTk4LwJXYLXuDBw9W06ZNde7cOUnSb7/9pmrVql3Tl8+ePVvJycl5TvT08/NTfHy89u3bp/j4ePn6+ua+FxMTo/3792vHjh0KDg4u6D8LAABAiWOJCJeX2ZxnzctsliUi/Iqf79jxXt1++w2cwAnAftlLT09XZmZm7u/u7u6y2WzX9OXz5s1T27Zt86xFRkZqw4YNuuWWW7RhwwZFRkZKkh599FHVrVtXdevW1YABA/Tuu+8W5J8DAACgRPIL8C/QeuSoUB04cEJLlnzjyFgAigG7Ze+rr77SqFGjZDab1bp1ay1ZskQrV668pi/fvHmzTp8+nWetY8eOmj9/viRp/vz56tSpU+76ggULJEnff/+9fH19FRAQUKB/GAAAgJImJSn5mtdbtmyoJk1u0RtTPlN2do6jowFwcXbLXmRkpE6dOqWff/5ZAwcOVFxcnMaMGVPoP+jv76+kpCRJUlJSUu6W0OrVq+vYsWO5n/v9999VvXr1Qv8dAACAkiAuJlYZVmuetQyrVXExsZd9NnJUqE6cOK358zc4Kx4AF2b3NE6bzab58+fr+++/l81m06+//uqQICaT6Yp/+9/69++vAQMGSJKqVKnikCwAAACu4tKpm/ZO42zcuK5at26kF1+Yo/T0zCt9FYBSxm7Zs1gsio2N1YEDB2QymXTjjTdq4MCBWrNmTaH+YHJysgICApSUlKSAgACdPHlS0sVJXs2aNXM/V6NGDf3xxx+XXT9r1izNmjVLkpSQkFCoDAAAAMVJYlz8VR+1IF2c6p0+nar33ivc/0YDUPLY3cY5depUtWjRQi1atNDDDz+sFi1aaPr06YX+g59//rl69+4tSerdu7dWrFiRu96rVy9J0r333quzZ8/mbvcEAABA/m6//QZ17ny/3n7rC6WlWe1fAKBUsDvZO3nypA4cOJD7+8GDB3OncfYsXLhQDz/8sKpUqaJjx45p3Lhxio6O1uLFi9WvXz8dPXpUoaGhkqS4uDhZLBb99ttv+vvvv9WnT59C/iMBAACULi+N7KK0NKtmzLi2Q/QAlA75lr3OnTtLknbv3q1Vq1Zp8eLFstlsCg0Nvebtk927d7/ieuvWra+4PmTIkGv6XgAAAFxUu7a/undvrrdmrNTp06lGxwHgQvIte+3bt8/9OTk5Wc2bN5cknTp1Sn5+fo5PBgAAALteeKGzcnJyNHXqMqOjAHAx+Za9vn37OjMHAAAACsjf31d9+7XRgvlf6o8/Ttu/AECpYveevdq1a+u5555T7dq15eHx/x/v2LGjQ4MBAADg6oYN6yhPT3dNmbLU6CgAXJDdsrd8+XLNnj1bK1euVE5OjjMyAQAAwI6KFb317CCLlizZot9+O2F0HAAuyG7Zu3Dhgt566y1nZAEAAMA1Gjz4Mfn4lFP05CVGRwHgouyWvZiYGI0dO1bx8fFKT0/PXU9MTHRoMAAAAFyZ2VxGEcM66IsvErRz52Gj4wBwUXbLXoMGDdSzZ0+1bNkydxunzWZTq1atHB4OAAAAl3vmmRBVrVqRqR6Aq7Jb9jp37qw6deooMzPTGXkAAABwFZ6eHnrhxc766qtd2rr1F6PjAHBhbvY+sGPHDvn6+jojCwAAAOzo0aO5atasylQPgF12J3v+/v7au3evEhIS8tyzx6MXAAAAnMvNzU0jI7tq+/YDWrt2u9FxALg4u2Vv3LhxzsgBAAAAOzp3vk+33lpDYaHRRkcBUAzYLXtff/21M3IAAADAjlGjw/Trr7/rs8++NToKgGLAbtk7d+6cbDabJMnLy0uenp46f/68Klas6PBwAAAAuOjRR+/WXXfdpD5Pv5l7QjoAXI3dsufj45Pn944dO6pJkyYOCwQAAIDLjX45TIcPJ+ujjzYZHQVAMWH3NM5/W7FihVq2bOmILAAAALiC5s3rq2nT2/XGlM+UlZVtdBwAxcQ1PWfvEjc3N91zzz252zoBAADgeKNGhykpKUVz5qwzOgqAYsRu2Wvfvn3uz1lZWTp8+DCPXQAAAHCSe+6pq5CQYL304hylp2caHQdAMWK37PXt29cZOQAAAHAFo18O0+nTqYqNXWN0FADFTL5l75VXXsn3IpvNpkmTJjkkEAAAAC6qX7+WOnW6T1HjPlJamtXoOACKmXzL3vnz5y9b8/b2Vr9+/VS5cmXKHgAAgINFjgpVaurfeuutL4yOAqAYyrfsTZs2Lffn8uXLKyIiQn369NGiRYs0depUp4QDAAAorW66KVBPPPGgpk1drpSUNKPjACiGrvroBT8/P02cOFE7d+6Uh4eH7rrrLkVGRurUqVPOygcAAFAqjRzZRZmZ2Zo2bbnRUQAUU/lO9qZMmaLHH39c77//vho0aHDFbZ0AAAAoejVqVFGv3i016/21Sk4+Y3QcAMVUvpO9ESNGKCgoSGPGjNEff/yhs2fP6uzZszp37pzOnj3rzIwAAAClygsvdJbJZNKUKZ8ZHQVAMZbvZM/d3d2ZOQAAACCpatWKeqb/I/rvhxt17Bi3zgAovKveswcAAADnGjasg8qW9dTrry81OgqAYs7uQ9UBAABQdIItIbJEhMsvwF8pScmKi4lVYly8JKliRW8NGvyYlizZon37jhucFEBxR9kDAABwkmBLiMKiIuVlNkuSKgUFKiwqUpKUGBevoUPbq2JFb01+bbGRMQGUEGzjBAAAcBJLRHhu0bvEy2yWJSJc5cubFTGsg1as+E47dx42JiCAEoWyBwAA4CR+Af75rg8aZFGlShU0aeInTk4FoKSi7AEAADhJSlLyFdfTTiVr+IhOWr16m7Zt+83JqQCUVJQ9AAAAJ4mLiVWG1ZpnLcNqlffB71Stmq8mTVxkUDIAJREHtAAAADjJpVM3/3ka5/qZs7R05hP68ssd+vbbvQYnBFCSUPYAAACcKDEuPrf0SdKzz1oUFFRZT/WYamAqACUR2zgBAAAM4unpoZGRXfXNN3u0adPPRscBUMIw2QMAADBIz54tdMMNVTVwwNtGRwFQAjHZAwAAMIC7u5tGjQ5VQsJ+rV273eg4AEogyh4AAIABunVrrptuCuQETgAOQ9kDAABwMje3i1O9HTsOaeXKH4yOA6CE4p49AAAAJ+vS5QHVq1dTYaHRRkcBUIIx2QMAAHAik8mkl8eEac+eo1q6dKvRcQCUYEz2AAAAnKh9+yZq2PBG9Xxqqmw2m9FxAJRgTPYAAACcaMwrT+i33/7QokVfGx0FQAnHZA8AAMBJHnusse65p6769nlT2dk5RscBUMIx2QMAAHCSseO66eDBJP33v5uMjgKgFGCyBwAA4ASPPnq3Gjeuq2f6zVBWVrbRcQCUAkz2AAAAnGDsuG46dChZCxZ8aXQUAKUEkz0AAAAHa9v2bt17763q/8xbTPUAOA2TPQAAAAcbO+5JHT7MVA+AczHZAwAAcKCQkGDdd99tGjjgbWVmZhkdB0ApwmQPAADAgcaO66YjR05q3rwNRkcBUMow2QMAAHCQ1q0b6YEH6unZ8HeY6gFwOiZ7AAAADjIuqpuOHTuluXPXGx0FQCnEZA8AAMABWrW6U02b3q5Bz85URgZTPQDOx2QPAADAAcaOuzjVmzNnndFRAJRSTPYAAACKWIsWDfXQQ3doyOB3meoBMAyTPQAAgCI2dlw3HT/+l2bPZqoHwDhM9gAAAIrQww83UPPm9TX0ufeUnp5pdBwApRiTPQAAgCIUNb67jh//S7NmrTU6CoBSjskeAABAEWndupGaNauvwYPeZaoHwHBM9gAAAIrI+Ak9dPToKc2eHW90FABgsgcAAFAU2ra9W/fff5sGDnibEzgBuAQmewAAAEVg/IQeOngwSXPnrjc6CgBIYrIHAABw3dq3b6LGjeuqb583lZWVbXQcAJDEZA8AAOC6mEwmjZ/QQ/v3/6EPP9xodBwAyMVkDwAA4Dp07ny/GjWqo55PTVV2do7RcQAgF5M9AACAQjKZTIqeOkCn0my666VJenntZwq2hBgdCwAkUfYAAAAK7aXJg3Rz7cr64bSP5OauSkGBCouKpPABcAmUPQAAgEJwc3PT8CGP6M8L7tp3zit33ctsliUi3MBkAHCR0+/Zu+WWW/TJJ5/k/l6nTh2NHTtWvr6+6t+/v06dOiVJGj16tFavXu3seAAAANekW7dmqupt0sqj5SSZ8rznF+BvTCgA+Aenl719+/YpODhY0sX/R+z48eNatmyZ+vTpo+nTp2vq1KnOjgQAAFAg7u5uGjuum06cs+m3f0z1LklJSjYgFQDkZeg2zlatWunAgQM6evSokTEAAAAKpGfPFqpbN0hT3lylDOuFPO9lWK2Ki4k1KBkA/D9Dy96TTz6pjz/+OPf3IUOGaMeOHZo9e7Z8fX2veE3//v2VkJCghIQEValSxVlRAQAAJEmenh56ZWw3JSTsV8y497Q4Klqn/zghW06OTv9xQoujopUYF290TACQJNmMeHl6etpOnTplq1atmk2SrVq1ajY3NzebyWSyTZo0yTZ79my735GQkGBIdl68ePHixYtX6X2Fhz9qy7GttLVte7fhWXjxup7Xxo0bbRs3bjQ8B6/re12tExk22Xv00Ue1fft2nTx5UpJ08uRJ5eTkyGazadasWWrSpIlR0QAAAK7IbC6jMa88oc2bd2vNmm1GxwGAqzKs7HXr1i3PFs6AgIDcnzt37qxdu3YZEQsAACBfgwdbFBRUWS+PXmB0FACwy+mncUqS2WxWmzZtNHDgwNy1KVOmqFGjRrLZbDp8+HCe9wAAAIzm41NOIyO7Ki7uR33zzR6j4wCAXYaUPavVetnhKr169TIiCgAAwDUZPryTKlf20ZiXPzQ6CgBcE0NP4wQAACgOqlTx0fPDO+qTTzbrp58OGh0HAK4JZQ8AAMCOUaNCVa5cGY0b+5HRUQDgmlH2AAAArqJGjSp6dpBF8+dt0L59x42OAwDXzJB79gAAAFxRsCVElohw+QX4KyUpWXExsQrvWFcmk0njxy8yOh4AFAhlDwAAQBeLXlhUpLzMZklSpaBADZz8kvrccV7vvLVSx46dMjghABQM2zgBAAAkWSLCc4veJc1uyFa2zaTJkz81KBUAFB5lDwAAQJJfgH+e36uUzdJtvhlK/MuskyfPGJQKAAqPsgcAACApJSk5z+9Nq53XhSyTNuxONSgRAFwfyh4AAICkuJhYZVitkqRAc6bq+GTquxMe+mxqrMHJAKBwOKAFAABAUmJcvKSL9+51fcCs1HSbXo6YkbsOAMUNZQ8AAOB/EuPiFajTqhkyToOefVffLlttdCQAKDS2cQIAAPyPm5ubJkf31r59x/XBB0z0ABRvTPYAAAD+p1evFmrQoLZCu05WVla20XEA4Low2QMAAJBUtqyXxk/ooe++26ulS7caHQcArhuTPQAAAElDh7ZXzZpV9VSPqUZHAYAiwWQPAACUepUqVVDkqK5aufIHbd682+g4AFAkKHsAAKDUGz06VBUqmDV61HyjowBAkaHsAQCAUq1WrWoaPKSdFsz/Urt3HzU6DgAUGcoeAAAo1SZMfEo5OTkaO/Yjo6MAQJGi7AEAgFLrzjtvVI8ezTUjZqWOH//L6DgAUKQoewAAoNSaHN1bKSlpio7+1OgoAFDkePQCAAAolVq2bKi2be/WiOEf6OzZ80bHAYAix2QPAACUOiaTSa9P6aPDh5P1zjurjI4DAA7BZA8AAJQ6TzzxkO6++2b16jlNGRlZRscBAIdgsgcAAEqVsmW9NDm6txITD+ijjzYZHQcAHIbJHgAAKFWGDeugWrWqqc/Tb8pmsxkdBwAchskeAAAoNapV89Wo0aFavvw7bdr0s9FxAMChKHsAAKDUmDChh8qW9dLIl+YaHQUAHI6yBwAASoX69Wup3zNtNPOdVdq//w+j4wCAw1H2AABAqfCfqf109uzfmjBhkdFRAMApOKAFAACUeI8+erdCQoI1LOJ9paSkGR0HAJyCsgcAAEqsYEuI2g0L19CHyujP89n69nCm0ZEAwGnYxgkAAEqkYEuIwqIi1ewOX1Uum6Mtf/ro8TEvKdgSYnQ0AHAKyh4AACiRLBHhquBdRvdX+1tH0zx1MNVLXmazLBHhRkcDAKeg7AEAgBLJL8BfTapaZXa36eskb0mm3HUAKA0oewAAoGQ6m6xGla3afaaMTl34/2MKUpKSDQwFAM5D2QMAACVSQ9Nh5dikrcnlctcyrFbFxcQamAoAnIeyBwAASpyHHrpDrR+sqzkff6djR0/KlpOj03+c0OKoaCXGxRsdDwCcgkcvAACAEsXd3U0z3hqoI0dOasSA/8hqTTc6EgAYgrIHAABKlAED2urOO29UaNfJFD0ApRplDwAAFAvBlhBZIsLlF+CvlKRkxcXEXrYls1KlCpo46Slt2LBDS5duNSgpALgGyh4AAHB5lx6Q7mU2S5IqBQUqLCpSkvIUvkmTnpKPTzlFDH3fkJwA4Eo4oAUAALg8S0R4btG75N8PSG/UqI4GDGyrd97+Qnv2HHV2RABwOZQ9AADg8vJ7EPo/12NmDNBff6UqKupjZ8UCAJdG2QMAAC4vvwehX1rv1q25HnroDo0etUBnz553ZjQAcFmUPQAA4PLiYmKVYbXmWbv0gHRv77Ka8kYfJSTs15w56wxKCACuhwNaAACAy7t0CMuVTuN87bVeql69srp2mSybzWZwUgBwHZQ9AABQLCTGxV/2qIWbbw7U8BGdNG/eBn3//a8GJQMA18Q2TgAAUGxNm95fFy5kalTkPKOjAIDLYbIHAACKJYvlHrVr11gvjJit5OQzRscBAJfDZA8AABQ7Zcp4avqb/bV37+96660vjI4DAC6JyR4AACh2IiO7qm7dILVpPUaZmVlGxwEAl8RkDwAAFCt16wYpclSoFi78Shs27DA6DgC4LMoeAAAoVt5+J1xWa7pGDP/A6CgA4NLYxgkAAIqNJ59spjZtgjVk8LscygIAdjDZAwAAxULFit6aOq2fEhL2KzZ2jdFxAMDlMdkDAADFwqRJT6latYpq326CcnJyjI4DAC6PyR4AAHB5d999s54dZNHMd+K0ffsBo+MwJauUAAAgAElEQVQAQLFA2QMAAC7Nzc1Nse8NVlJSil555b9GxwGAYoNtnAAAwKUNGmTR3XffrCefeF3nzv1tdBwAKDaY7AEAAJcVGFhJk17tqbVrt2vx4m+MjgMAxQplDwAAuKyp0/rJy8tDQwbHGh0FAIodyh4AAHBJbdoE68knm2nya0t04MAJo+MAQLFD2QMAAC6nXLkyin1vsH799XdNmbLU6DgAUCxxQAsAAHA5kyb11I03+qvZQyOVnp5pdBwAKJaY7AEAAJdy7723amhEe707M07ffLPH6DgAUGxR9gAAgMvw8vLQB7OH6vjxvxQZOc/oOABQrLGNEwAAuIxRo0J1xx03qN1j45WaajU6DgAUa4aVvUOHDik1NVXZ2dnKyspS48aN5efnp08++US1a9fW4cOHFRYWpjNnzhgVEQAAOFCwJUSWiHD5BfgrJSlZvy5frFGjQ/XRR5sUF/ej0fEAoNgzdBtnixYtFBwcrMaNG0uSIiMjtWHDBt1yyy3asGGDIiMjjYwHAAAcJNgSorCoSFUKCpTJzU2VgwL05pSeOm/N0vPDZhkdDwBKBJe6Z69jx46aP3++JGn+/Pnq1KmTwYkAAIAjWCLC5WU25/7eqPIFBZXP0bojnvrzz3MGJgOAksOwsmez2RQfH68ff/xR/fv3lyT5+/srKSlJkpSUlKRq1apddl3//v2VkJCghIQEValSxamZAQBA0fAL8M/9uaJntpr6n9fBc576XVUNTAUAJYth9+w1bdpUJ06cUNWqVbVu3Trt3bv3mq6bNWuWZs26uL0jISHBkREBAICDpCQlq1JQoCSbWldPU47NpA0nyisl6aTR0QCgxDBssnfixAlJ0qlTp7Rs2TI1adJEycnJCggIkCQFBATo5En+hQ8AQEkUFxOrDKtVd/im64bymfomqZxOn8tQXEys0dEAoMQwpOyVK1dO5cuXz/05JCREu3bt0ueff67evXtLknr37q0VK1YYEQ8AADhYYly8vpzxlh7yT9XvaR76avcZLY6KVmJcvNHRAKDEMGQbp7+/v5YtW3YxgIeHFi5cqLVr1yohIUGLFy9Wv379dPToUYWGhhoRDwAAOEFEt4ayZWao1V3h2r//D6PjAECJY0jZO3TokBo1anTZ+unTp9W6dWsDEgEAAGfq1y9EFss9ihj6PkUPABzEpR69AAAASr7atf01bXo/ffnlDr399hdGxwGAEouyBwAAnMZkMmnO3AjZbFLfPjGy2WxGRwKAEsuwRy8AAIDSJyKigx5+uIH69Y3R0aOnjI4DACUakz0AAOAUt91WQ69N7qWVK3/Q3LnrjY4DACUeZQ8AADicu7ub5i8YrrS0CxrQ/y2j4wBAqcA2TgAA4HCjRoWqceO6CguNVnLyGaPjAECpwGQPAAA4VHDwTXpl7JP6+OOv9OmnW4yOAwClBmUPAAA4TJkynpq/4HmdOnVWQwbHGh0HAEoVtnECAACHmTChh+rXr6XHLFFKSUkzOg4AlCpM9gAAgEO0aNFQI17orFnvr9Hq1duMjgMApQ6TPQAAcN2CLSGyRITLL8BfKUnJ2jp3nhb853Ht3/+Hnn/+A6PjAUCpRNkDAADXJdgSorCoSHmZzZKkSkEBip0ZrmrlM9Sh/UT9/Xe6wQkBoHRiGycAALgulojw3KInSQ0rXVBdv2ytOyAlJh4wMBkAlG5M9gAAwHXxC/DP/blymSw1DzivQ6me2pvhZ2AqAACTPQAAcF1SkpIlSe4mmyw1U5WebVL87xWUknTS4GQAULpR9gAAwHWJi4lVhtWqZgHnVaVsttYer6AzaemKi+G5egBgJMoeAAC4Lolx8Upe84kaVb6gH0+VVeK+v7Q4KlqJcfFGRwOAUo179gAAwHUJCqqklwc10/btB/Tg/S8oIyPL6EgAADHZAwAA18HNzU0LPhyusmW91L3bGxQ9AHAhTPYAAEChjRzZRS1b3ql+fWO0b99xo+MAAP6ByR4AACiUhx9uoAkTe2jhwq80d+56o+MAAP6FsgcAAAosMLCSPl70on799bgGDnjb6DgAgCtgGycAACgQDw93LfrkJXl7l1XLFi/r/PkLRkcCAFwBZQ8AABTIa6/10kMP3aEe3f+jX345ZnQcAEA+2MYJAACuWadO9+mFFx/XzHdW6eOPvzI6DgDgKpjsAQCAywRbQmSJCJdfgL9SkpIVFxOr1H0/a+68Yfrhh30aPvwDoyMCAOyg7AEAgDyCLSEKi4qUl9ksSaoUFKju40eqfaWjysrKVlhoNM/TA4BigLIHAADysESE5xa9Sx65KVs3+1ZWO8t4HT16yqBkAICC4J49AACQh1+Af57f7/C7oPp+6frhpFlr1mwzKBUAoKAoewAAII+UpOTcn6uVzVLLwDQdSfNU3I5UA1MBAAqKsgcAAPKIi4lVhtWqcu456lDrnP7OctPn+z21KibW6GgAgALgnj0AAJBHYly8PD3c9Mm8Z1XW3U2zvs/UvEkxSoyLNzoaAKAAKHsAAOAy/dvXVS0/Nz0R9rqWLPnG6DgAgEJgGycAAMhjyJB26vdMiCZNXETRA4BijLIHAABytWzZUNOmP6Ply7/TuHELjY4DALgOlD0AACBJqlMnQIuXRGrv3t/Vq+c02Ww2oyMBAK4DZQ8AAKhCBbNWfP6KbDabOnaYqLQ0q9GRAADXiQNaAAAo5Uwmkz787wjdemt1PRIyVocOJdu/CADg8ih7AACUchMm9FCHDvfquSGx2rhxp9FxAABFhG2cAACUYr17t9LLY57QB7PW6p13VhkdBwBQhCh7AACUUq1bN9L7s4YoPj5Rgwa9a3QcAEARo+wBAFAKNWhQW58uHaU9e44ptOtkZWVlGx0JAFDEKHsAAJQy1atX1qq4cTp37m+1e2y8UlM5eRMASiIOaAEAoBSpUMGsL1aNk49POT304EgdP/6X0ZEAAA5C2QMAoJTw8HDXkk9H6fbba+oxy3j9/PNhoyMBAByIsgcAQCnx3nuDFRISrD5Pv6n1638yOg4AwMG4Zw8AgFLglVeeVJ++bTQ+aqHmz99gdBwAgBNQ9gAAKOHGThuq8RN6aPdpL2U9EKpgS4jRkQAATsA2TgAASrDhE8M1dlgbHUnz1PoTFVQpyEdhUZGSpMS4eIPTAQAcickeAAAlVKtWdyp6tEVJVg+tPOqjHJtJkuRlNssSEW5wOgCAo1H2AAAoge6991YtW/6yUtI9tPywjzJzTHne9wvwNygZAMBZ2MYJAEAJ06BBbcWtjtKJEyn67LiHvKr4XfaZlKRkA5IBAJyJyR4AACXITTcFam38BJ0/f0EhbV7R4jdilWG15vlMhtWquJhYgxICAJyFyR4AACVE9eqVtW79RLm7u6lli9E6cuSkjhy5eAiLJSJcfgH+SklKVlxMLIezAEApQNkDAKAEqFLFR/HrJqpSpQpq2WK09u79Pfe9xLh4yh0AlEKUPQAAijkfn3JavWa8ateupraPjNP27QeMjgQAcAGUPQAAijEfn3Jas3a8GjasrU4dJ2nz5t1GRwIAuAgOaAEAoJiqWNFba+Mn6K67blJo12itXr3N6EgAABfCZA8AgGLI19dba+Mn6s47ayu0a7RWrvzB6EgAABdD2QMAoJjx9fVW/LqJatiwtrp2mawvvkgwOhIAwAVR9gAAKEb8/Morft1E1a9fS10en6xVqyh6AIAro+wBAFBM+PmV17r1k3THHTfo8c6vco8eAOCqKHsAABQDlSpV0Lr1E1WvXk117vSq1qyh6AEAro7TOAEAcHFVq1bU+g2TKHoAgAJhsgcAgAurVaua1sZPUI0aVdSxwyStW5dodCQAQDFB2QMAwEXVq1dTa+MnyNu7rNq0HqNvv91rdCQAQDHCNk4AAFxQkya36OvN0XJzM6l5s0iKHgCgwCh7AAC4mNatG2n9hklKSUnTQw+O1K5dR4yOBAAohpxe9mrUqKEvv/xSe/bs0a5duzR06FBJ0rhx4/T7778rMTFRiYmJevTRR50dDQAAw3Xt2lRfrBqrAweS9NCDI3XoULLRkQAAxZTT79nLysrSiBEjlJiYqPLly2vbtm1at26dJGn69OmaOnWqsyMBAOAS+vd/RO/GDtLWrXvVvt0EnT17/oqfC7aEyBIRLr8Af6UkJSsuJlaJcfFOTgsAcHVOL3tJSUlKSkqSJKWlpemXX35R9erVnR0DAACXMnp0mCa92lOrViUoLPR1Wa3pV/xcsCVEYVGR8jKbJUmVggIVFhUpSRQ+AEAeht6zV6tWLQUHB+v777+XJA0ZMkQ7duzQ7Nmz5evra2Q0AACcwtPTQ7NnD9WkV3vqww83qnOnV/MtepJkiQjPLXqXeJnNskSEOzoqAKCYMazseXt7a+nSpRo2bJhSU1P17rvv6qabblKjRo104sSJfLdz9u/fXwkJCUpISFCVKlWcnBoAgKLj6+ut1Wui1KdvG42PWqjevaYpKyv7qtf4BfgXaB0AUHoZUvY8PDy0dOlSffTRR1q2bJkk6eTJk8rJyZHNZtOsWbPUpEmTK147a9YsNW7cWI0bN9aff/7pzNgAABSZOnUCtPXb/6hp09vV86mpGj/+42u6LiXpyge25LcOACi9DCl7s2fP1i+//KLp06fnrgUEBOT+3LlzZ+3atcuIaAAAONwDD9TTt9/9R1Wr+qhN6zH66KNN13xtXEysMqzWPGsZVqviYmKLOCUAoLhz+gEtTZs2Va9evbRz504lJiZKkkaPHq1u3bqpUaNGstlsOnz4sAYOHOjsaAAAONyTTzbTnLkROnr0lNo9Nl6//XaiQKdrXlrnNE4AgD1OL3tbtmyRyWS6bH316tXOjgIAgFO9/HKYJk7qqa++2qUuj7+m06dTC3W6ZmJcPOUOAGCXoadxAgBQGpQrV0b//egFTZzUUwsWfKlHQl7R6dOpkjhdEwDgOE6f7AEAUJrUqROgz5aN1h133KBRkfP1+uuf5nmf0zUBAI5C2QMAwEHatr1bHy18QTk5ObI8Ol7r1iVe9pmUpGRVCgq84joAANeDbZwAABQxk8mkMWOe0Berxurw4WQ1vmf4FYuexOmaAADHYbIHAEAR8vEpp/kLnlfHjvdpwYIv9Wz4TFmt6fl+ntM1AQCOQtkDAKCI1KtXU58tG606dQI09Ln39PbbX1zTdZyuCQBwBMoeAABF4KmnWmjmu88qLe2CWrV8Wd98s8foSACAUo6yBwDAdShf3qx3Zj6rnj1baNOmn/VUj//ojz9OGx0LAADKHgAAhXXXXTfp40UvqU4df40b+5FefXWxcnJyjI4FAIAkyh4AAAVmMpk0bFgHTY7ureTkM2rx8Gi2bQIAXA5lDwCAAqhataLmzI3QY4811rJl3+qZfjOUkpKW+36wJYSTNQEALoGyBwDANWrV6k4t+HC4/PzKa8jgdzVzZlye94MtIQqLipSX2SxJqhQUqLCoSEmi8AEAnI6HqgMAYIe3d1m9/Xa41q2fpDNnzuu+e0dcVvSki8/Ku1T0LvEym2WJCHdWVAAAcjHZAwDgKh566A7NmRuhG2/015vTV+jllz/M9yHpfgH+BVoHAMCRmOwBAHAFZnMZTZ/+jDZuek2S1OLh0Ro+/IN8i54kpSQlF2gdAABHouwBAPAv999/mxJ/ilHEsI56d2ac7mz4nDZv3m33uriYWGVYrXnWMqxWxcXEOioqAAD5YhsnAAD/U6aMpyZM6KHhIzrp2LE/1arly9q4cec1X3/pEBZO4wQAuALKHgAAklq3bqR3Zj6runWD9P57a/Tii3OUmmq1f+G/JMbFU+4AAC6BsgcAKNX8/X01ddoz6t69ufbtO642rcdow4YdRscCAOC6UfYAAKWSyWTSgAGPaHJ0b5nNZTQ+aqGioz9Venqm0dEAACgSlD0AQKnTsGFtxb43WPfdd5s2bNihwYPe1b59x42OBQBAkaLsAQBKjQoVzBo7tpsihnXQ6dOp6vnUVH300SajYwEA4BCUPQBAiefm5qa+fVtr4qSn5O/vp/ffW6PIyHk6c+a80dEAAHAYyh4AoERr0aKhpk1/RnfeeaM2b96tdo9N0LZtvxkdCwAAh6PsAQBKpJtvDtSUN/qqU6f7dPhwssJCo/Xpp1uMjgUAgNNQ9gAAJUrFit4aM+YJPTe0ndLTMzUqcr7efHMFp2wCAEodyh4AoEQwm8to8GCLRkZ2lZ9fec2ds15jxnyo5OQzuZ8JtoTIEhEuvwB/pSQlKy4m1u4D0AtzDQAAroCyBwAo1jw9PfTMMyF6eUyYgoIqa/XqbXp59AL99NPBPJ8LtoQoLCpSXmazJKlSUKDCoiIlKd/yVphrAABwFW5GBwAAoDDc3NzUs2cL7f01Vu/MfFYHDiSp2UMj9Zgl6rKiJ0mWiPDc0naJl9ksS0R4vn+jMNcAAOAqmOwBAIqdxx9/QBMm9tDtt9+g7dsPaNCzM7V27farXuMX4F+g9cJeAwCAq2CyBwAoFtzc3BQW9qASf5qhT5eOkslkUmjXyWp8z/N2i54kpSQlF2i9sNcAAOAqKHsAAJfm6emhPn1aa88vM7Xok5EqU8ZTvXtNU8MGQ7R06VbZbLZr+p64mFhlWK151jKsVsXFxBbpNQAAuAq2cQIAXFLZsl7q16+NXnypi264oaq2bz+g0K6TtWzZd8rJyZFUsJMyL60X5GTNwlwDAICroOwBAFxKxYreGjiwrZ4f3lH+/n765ps9Ch/4jtas2Zbnc4U5KTMxLr7ARa0w1wAA4AooewAAl1C3bpCGDm2v3k+3UvnyZq1Zs02TX1uizZt3X/HzVzspk3IGAABlDwBgsJYtGypiWEe1b99E6emZ+vjjrxXz5grt2HHoqtdxUiYAAFdH2QMAOF3Zsl7q3r25IoZ1UIMGtXXy5BmNj1qo2NjVSk4+c03fkZKUrEpBgVdcBwAAlD0AgBPdckt1DRjwiHr1bqUqVXy0Y8ch9Xn6TS1a9LXS0zML9F1xMbF57tmTOCkTAIB/ouwBABzKy8tDjz/+gPoPeEQtWjRUZmaWli//TrHvrtbGjTtzP1eQkzUlTsoEAMAeyh4AwCHq1g1S//6PqPfTrVS1akUdPJik0aPma+7c9Zdt1SzMyZqX3qPcAQBwZZQ9AECR8fEpp65dm6pnr5Zq3ry+srKytWLF93r/vTVav/6nfB+AzsmaAAAUPcoeAOC6uLu7KSQkWD17tVTHjvfKbC6jX3/9XS+PXqC5c9crKSnF7ndwsiYAAEWPsgcAKJRGjeqoZ88W6ta9uQIC/PTXX+c0Z/Y6LVjwpRIS9hfouzhZEwCAokfZAwBcswYNais0tKlCwx7UrbfWUEZGpr74IkEfLtiouLgflZmZVajv5WRNAACKHmUPAHBV9evXUmjogwoNe1C33VZD2dnZ2rRpl96cvkJLlmzR6dOp1/03OFkTAICiR9kDAFzmrrtuUseO96lraFPVq1czt+DFvLlCn332rU6dOlvkf5OTNQEAKFqUPQCAypTxVIsWDdWhQxO173CvqlevrOzsbH311S7NiPlcy5Z9p5Mnz9j/IgAA4DIoewBQzBX0YeSXrgl9MVyNbvJVTa9U3eiTpXJmL6WlWbVmzXZ9vuJ7xcX9mLtFM9gSov6F+BtsywQAwDiUPQAoxgryMHIPD3c98EA99RrURZZ2TRTgnSPpvFIzPbQ3xUtzJi/V7CnzlZ6eWei/cT3XAACAokXZA4BizN7DyGvX9lfbtncp5JG71LJlQ/n4lFN2jk0nrG7aklxWh1O9dPKCuyST/B60KH3iBwX+G4XJBQAAHI+yBwAupiDbH//90PHyntmq6Z2pGkHe6nvwA91448X3Dx1K1scLv9LatdvVcuIbyrzCv/4L+mDzqz3wnIekAwBgPMoeALiQgm5/zEpJVv06fqrpnama3pnyLZMjSfo7w6Y1mw5o+rTlio9P1L59x3OvuePZUwV6gHlhHnjOQ9IBADCem9EBAAD/72rbH00mk+rXr6Xw8Ee14MPhOnDwA73U3FOWmmmqWzFDf6V7aNMJb83ZVVbNHn9bXbtM1ttvf5Gn6EkXH2CeYbXmWbvaA8wL+vnCXgMAAIoWkz0AcCH/3Obo5ZYjf3OWAstlKeiGchpxeqF8fctLkk6cOK0tW37RWzNWKjmnvG56rIt8A/yu6dTLgj7AvDAPPOch6QAAGM8kyWZ0iMJKSEhQ48aNjY4BANetTBlP3XnnjRozb4rqBJRTQLksVSqTnft+cppNKz5aq2++2aMtW/bo0CG2QwIArs/GjRslSS1atDA4Ca7H1ToRkz0AcDKzuYwaNqytRo1uVHDwTQq+6ybdeWdteXl5SpLSMjOUbPXUL2fKKMnqoWOns/ThK68zFQMAAAVC2QMAB6pWzVcNGtRSo0Z11Ci4joKD6+jWW6vL3d1dkpSSkqbExAOaPm2FfvhhnxIS9qtqw7vY/ggAAK4bZQ8AikD58mbVr3+D6tevdfHV4OJ/Vqvmm/uZY8dOKTHxoD5dskU//XRQiYkHdeTIycu+6/ff4yl3AADgulH2AKAAqlXzVb16NXTbbf971aup226roVq1quV+Ji3Nqt27j2rl5z9o164j2rXriHbsOKQ//zxnYHIAAFDaUPYA4F8qVDCrbt0g1a0bpJtvDtTN//u5Xr2a8vMrn/u5tDSr9u79XZs379as99fq558P6+efj+jIkZOy2Yrt2VcAAKCEoOwBKDGCLSHXdK+byWRSYKCfHunRQZaeHRVYtYLMOedlOpOkoCrl8my9lC5uv9y//w8t+vhrpbp5q9o9TZXhXVnHjmUqLmbNVbdcXmsmAACAokbZA1AiBFtCFBYVKS+zWSbZVKtWNT3/nxf1S/NbZEtJ0g03VFWt2v6qU8dftWpVU9myXrnX2mxWpWV5KKV8DW3Z+rO++3KZfvvthPbv/0MHDiTJak3P8zdSypqlbKlSUKDCoiIl6YoF7p+ZJPufBwAAKEqUPQDFioeHu4KCKql69cqqXr2yatSoourVK6tNj46q7JOuCp5WlffMkZvpfxfUe0SS9Oef53TkyEnt3HlYn6/4Xre266Sscv/X3t0HRXWfewD/7tk3luVllzfhigUSMb5MVDCiXjWOxdeY2olmIibm0jTRphNtdDoTnTiOZNrO6K23JsVWMybRsaFRU7HBTqvoxMZ7G7EIy9sFVAr1ugosyPs77D73j8UTEU20ARaW72fmmfOyv3POszx68PGc3WNFY5cWzd0KnOLeoE6ZgF/+ctt9j/3Mm6+rjdsdBpMJz7z5+n2bt0cdT0RERDSQ2OwR0bDg62vEmDEWhIdbERERhIgIa++8FeG9yxERQQgLC4SiKH22bWvrRKdWh5YewN6qR1O3guZuLZq6FTR1arApfjHa2jr7bLNn2XpoWvruBwCs4WMemOODXhuo9UREREQDic0eEQ0Ko1GPkJAAhIYGqtPQUPc0LCwQYWMsCAuzYMwYd5jNPv324XQ6UV3dgMrKety8WYecy2W4efM27PbbvdNa3Lx5G/X1Ldh+Jh1B/xbRbx91tyr7NXoAUF9Vfd/x9VXVD3xPj7rNv3IMIiIiooHCZo+IvpbRqIfV6ger1Q8WixlWqx+CgvwRHOyvTq1BX60LDg5ASIg//P1977s/p9OJmpomOBwNqK5uQHl5FRzVDXA4GuFwNKCqqh6VlfWorKxDTU0TXC7XQ+X55/cO9Pl8HAB0tbfjz+8dGJDxQ3UMIiIiooHCZo/IixkMOgQE+CIgwBf+/iZ1PiDAF4GBvrBYzAgMNMNiMSMg0FedvxNWqx9MJuMD9+9yuVBf34K6uhbcvt0Eh6MRJSV23K5tQk1NI2r7TJtQW9uE+vqWh27gHsWdz8A97DdfPur4oToGERER0UDRABixD4PKzs7GzJkzPZ0G0bem1+vg62tUw2x2T/38TDCbfWA235k3wmz2gZ+fj3vqb4Kfnwn+/ib4+fn0Tt3L/v4mGI36bzx2Z2c3Ghtb0djYhsbGVjQ0uOcb6ltQf59oaGjF7dvNqKtrRkNDK58nR0RENEKdP38eALBw4UIPZ0Lfxtf1RLyyR9RLURQYDDoYjfq7wr3s42OAj48BRqPurnk9fHzcr5lMht71ephMRnW9j8kAX18jTOr07nmD2tzp9Y/2V7GjowutrR1obm5Hc3M7Wlrc81VV9WhubkdrSweamtrQ1NSG5ub23vn2PuvuNHgdHV2D9BMlIiIiIk8ads3e0qVL8d5770Gr1eKDDz7A7t27PZ3SoHrUBy7/Kw9oHsxjaLUKtFoFM1YswfI3XkNQeCiaampw/oMjKPnif6DTaaHTKb3Tr2LKgjmYu+Y5BAZZ0dZQj9xTf8H/5RVAr3e/rtdrodfr+sxHPTkJU+bPhjnAjK7WVvwzNw/1N+wwGHTuMQY99HotDAYdDAYdQsZGIDxmHIxGA6SnC623b8PZ0a6+bjTq+zR3Op324Yr2NZxOF9rbO9HR0d1n2tbWifb2LtTUNMIYaEFw0Di0GExoaWhD6WkbygtK0NbWqUZra4c6jZw+HQlrnocpKBQ1VTXI2Ps+Lv/pzNfmcaeGIeFjoK2qxpfvHYDtz+e/cfxI/XNIRERERP0Nq9s4FUXB1atXsXjxYtjtdmRnZ2Pt2rUoKSm57/jheBvnlCnfwZIlcVAUBYqigaIo0Ghw17IGGo17fcSExzHl6X+HTq/DnUeCuZzduJaVjdvXb6jbK4oGWq2C0KhxeCx+GrQ6rfoMMXH24GZxKRqrHeo4RVHUJiwwLAQRj0dD0SpQAGg0AFwuNFRWorOlpc9YrVaBr78f/IMs7jwBKBqBBoKejk5AnNBq3c2be/y3b47+VS4BnAJ0dnShs70DXV09fUJnMsE/bAxEo8AlGjgF6O5x4fr/XkH1dTu6unrQ3dWDrq5udHa6p9bvRGHignmAzgCnAE7RoLOzG/999CRKL15GR0c3Ojq60NnZjTvQG64AAA2eSURBVI6Objw2KwFLNm6AxmCCU4AelwYd7e04nrL7gU3JvQ/ZBtxf2HE8ZddDPZT7m8YPxTGGY05ERET06Hgbp3cYMbdxJiQkoKysDBUVFQCAo0eP4vvf//4Dm73haObMWPzXr177xnEulwsCDaDphkg3AHfXLQJMXTEd7S2xcLlccLlEnfparVC0LrjE/eUWLgEEGoTGjUf1Pw3qOKfzztSJiOhI6LQKXHA3LyKAiBZaSyhulPxTHe8OJyYvmI+mNgNcvbm4RAMB0N7iRNaJv6Cnx6mOvzM//z/WwsffHy7R9Obkzq25oRGf/WeqOr67uwfd3U6s3rkN5qAguHr37xLABaDBUYv96zejp+ersT09TnR39+DNY4cRMCYcrt59o7c9rrtViV8sfanfz3f7mXQEtQX1W1/XFoVfrNty35psP5OO9sbAe9b6wPjUYvxp+/5+41fu+RU6tGbA+dU6g8n3ax+YPRQP5R7sYwzHnIiIiIiov2F1ZW/16tVYtmwZ1q9fDwBYt24dZs2ahU2bNqlj1q9fjw0bNgAAnnjiCVy5csUjuQ6EyMkToV7Su5sA9uLSbz2ex+AxBuMYwzGnkSAkJAS1tbWeToOGEGs++rDmow9rProM13pHRUUhLCzsvq8Nqyt7Gk3/f93d+01/Bw8exMGDB4cqpSEzHG9JpcHFmo8urPfow5qPPqz56MOajy4jsd6KpxO4m91ux7hx49TlyMhI3Lp1y4MZERERERERjUzDqtnLzs5GbGwsoqOjodfrkZSUhIyMDE+nRURERERENOJoAaR4Ook7RATXrl1DWloaNm3ahI8//hjp6emeTmvI5ObmejoFGmKs+ejCeo8+rPnow5qPPqz56DLS6j2svqCFiIiIiIiIBsawuo2TiIiIiIiIBgabPSIiIiIiIi/EZs/Dli5ditLSUly7dg1bt271dDo0CD788ENUV1ejsLBQXWe1WpGZmYmrV68iMzMTFovFgxnSQIuMjMTnn3+O4uJiFBUV4Sc/+QkA1t2bGY1GXLp0CXl5eSgqKkJKSgoAIDo6GllZWbh69SqOHj0KvV7v2URpQCmKgtzcXJw6dQoA6+3tKioqUFBQAJvNhuzsbAA8r3u7wMBAfPrppygpKUFxcTFmz549ImsuDM+EoihSVlYmMTExotfrJS8vTyZNmuTxvBgDG/Pnz5e4uDgpLCxU1+3evVu2bt0qAGTr1q2ya9cuj+fJGLgIDw+XuLg4ASB+fn5y5coVmTRpEuvu5WE2mwWA6HQ6ycrKklmzZsmxY8dkzZo1AkD2798vr7/+usfzZAxcbNmyRdLS0uTUqVMCgPX28qioqJDg4OA+63he9+44fPiwvPrqqwJA9Hq9BAYGjsSaezyBURuzZ8+W06dPq8vbtm2Tbdu2eTwvxsBHVFRUn2avtLRUwsPDBXA3BqWlpR7PkTF48cc//lEWLVrEuo+SMJlMkpOTIwkJCVJTUyNarVaA/ud8xsiOsWPHyrlz52ThwoVqs8d6e3fcr9njed17w9/fX8rLy/utH2k1522cHjR27FjcuHFDXbbb7Rg7dqwHM6KhMmbMGFRVVQEAqqqqEBYW5uGMaLBERUUhLi4Oly5dYt29nKIosNlscDgcOHv2LP7xj3+goaEBTqcTAM/x3ubdd9/FW2+9BZfLBQAIDg5mvb2ciCAzMxOXL1/G+vXrAfD3uTd77LHHUFNTg0OHDiE3NxcHDx6Er6/viKs5mz0P0mg0/daJiAcyIaLBYDabceLECWzevBnNzc2eTocGmcvlQlxcHCIjI5GQkIBJkyb1G8NzvHdYsWIFHA5Hn+dt8Xe695s7dy5mzJiB5cuX44033sD8+fM9nRINIp1Oh/j4eOzfvx/x8fFobW3Ftm3bPJ3WI2Oz50F2ux3jxo1TlyMjI3Hr1i0PZkRDpbq6GuHh4QCA8PBwOBwOD2dEA02n0+HEiRNIS0vDyZMnAbDuo0VjYyP++te/Yvbs2bBYLNBqtQB4jvcmc+fOxcqVK1FRUYGjR4/iu9/9Lt59913W28tVVlYCAGpqanDy5EkkJCTwvO7F7HY77HY7/v73vwMA/vCHPyA+Pn7E1ZzNngdlZ2cjNjYW0dHR0Ov1SEpKQkZGhqfToiGQkZGB5ORkAEBycjI+++wzD2dEA+3DDz9ESUkJ9u7dq65j3b1XSEgIAgMDAQA+Pj5YtGgRSkpKcP78eTz//PMAWHNv8vbbb2PcuHGIiYlBUlISPv/8c6xbt4719mK+vr7w8/NT55csWYKioiKe171YdXU1bty4gQkTJgAAEhMTUVxcPCJr7vEPDo7mWL58uVy5ckXKysrk7bff9ng+jIGP3//+93Lr1i3p6uqSGzduyA9/+EMJCgqSc+fOydWrV+XcuXNitVo9nidj4GLu3LkiIpKfny82m01sNpssX76cdffiePLJJyU3N1fy8/OlsLBQduzYIQAkJiZGLl26JNeuXZPjx4+LwWDweK6MgY0FCxaoX9DCentvxMTESF5enuTl5UlRUZH6bzae1707pk2bJtnZ2ZKfny8nT54Ui8Uy4mqu6Z0hIiIiIiIiL8LbOImIiIiIiLwQmz0iIiIiIiIvxGaPiIiIiIjIC7HZIyIiIiIi8kJs9oiIiIiIiLwQmz0iIhrWenp6YLPZUFRUhLy8PGzZsgUajWbQjvfKK6+goKAA+fn5KCwsxMqVKwEA77zzDhITEwftuLNmzUJWVhZsNhuKi4uxc+dOAMCCBQswZ86cR97ftGnTsHz58oFOk4iIRhiPP/+BwWAwGIwHRXNzszofGhoqZ8+elZSUlEE51tixY6WsrEwCAgIEgJjNZomOjh6S91laWipTp04VAKIoikyaNEkAyM6dO+WnP/3pI+1Lq9VKcnKypKamerx+DAaDwfBoeDwBBoPBYDAeGHc3e4D74ca1tbUCQKKiouTChQuSk5MjOTk5MmfOHAEgR44ckZUrV6rbfPzxx/K9731PJk+eLJcuXRKbzSb5+fkyfvz4PvuOi4sTm80miqL0y+PQoUOyevVqASAVFRWSkpIiOTk5UlBQIE888YQA7ubwo48+koKCAsnPz5dVq1YJAFm8eLF8+eWXkpOTI8ePHxez2dxv/3V1dRIaGtpnXVRUlFRWVordbhebzSbz5s2TZ599VrKysiQ3N1fOnj0rYWFhAribwvfff1/OnDkjaWlpcv36dXE4HGKz2eSFF17weB0ZDAaD4ZHweAIMBoPBYDww7m32AHdjFBYWJiaTSYxGowCQ8ePHS3Z2tgCQp59+Wk6ePCkAJCAgQMrLy0Wr1cqvf/1refHFFwWA6PV68fHx6bNfRVHk9OnTcv36dfnoo4/k2WefVV+7t9nbuHGjAJAf//jHcvDgQQEgu3btkr1796rbWCwWCQ4Oli+++EJ8fX0FgLz11luyY8eOfu9px44dUldXJ+np6bJhwwb1fd17Zc9isajzr776quzZs0cdd/nyZfU98coeg8FgMHQgIiIaYe58Zk+v12Pfvn2YPn06nE4nJkyYAAC4cOECfvOb3yA0NBSrVq3CiRMn4HQ6cfHiRWzfvh2RkZFIT09HWVlZn/26XC4sW7YMM2fORGJiIvbu3YsZM2bgnXfe6ZdDeno6ACAnJwerVq0CACxatAhJSUnqmIaGBqxYsQKTJ0/G3/72NwCAwWDAxYsX++3vZz/7GdLS0rBkyRK8+OKLWLt2LRYuXNhvXGRkJI4dO4aIiAgYDAZUVFSor2VkZKCjo+ORfpZEROS9+AUtREQ0osTExMDpdMLhcGDLli2orq7GtGnT8NRTT8FgMKjjfve73+Gll17CK6+8gkOHDgEAPvnkE6xcuRLt7e04c+bMfZspAMjOzsauXbuQlJSE1atX33dMZ2cnAMDpdEKnc//fqUajgYj0GafRaHD27FnExcUhLi4OU6ZMwWuvvXbffZaXl+PAgQNITEzEtGnTEBQU1G9Mamoq9u3bh6lTp+JHP/oRfHx81NdaW1sf9GMjIqJRiM0eERGNGCEhIThw4AD27dsHAAgMDERlZSVEBC+//LLadAHA4cOHsXnzZgBAcXExAHejWF5ejtTUVGRkZGDq1Kl99h8REYG4uDh1efr06bh+/fpD55eZmYmNGzeqyxaLBVlZWZg7dy4ef/xxAIDJZEJsbGy/bZ955hl1PjY2Fk6nEw0NDWhuboa/v7/6WmBgIG7evAkASE5OfmAu925HRESjD5s9IiIa1kwmk/rohXPnziEzM1O9rfK3v/0tkpOTcfHiRUyYMAEtLS3qdg6HAyUlJepVPQBYs2YNioqKYLPZMHHiRBw5cqTPsfR6Pfbs2YOSkhLYbDasWbMGb7755kPn+vOf/xxWqxWFhYXIy8vDwoULUVtbix/84Af45JNPkJ+fj6ysLEycOLHfti+//DKuXLkCm82mXpV0uVw4deoUnnvuOdhsNsybNw8pKSn49NNPceHCBdTW1j4wl/Pnz2Py5Mmw2Wx44YUXHvo9EBGR99DA/eE9IiIir2IymVBYWIj4+Hg0NTV5Oh0iIqIhxyt7RETkdRITE1FaWorU1FQ2ekRENGrxyh4REREREZEX4pU9IiIiIiIiL8Rmj4iIiIiIyAux2SMiIiIiIvJCbPaIiIiIiIi8EJs9IiIiIiIiL/T/tHursJ2RNvMAAAAASUVORK5CYII=\n", | |
| "text/plain": [ | |
| "<Figure size 1080x864 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "62\n", | |
| "Switzerland -- Coefficients for y = 1/(1 + e^(-k*(x-x0))) are [32.76345624 0.16466727 0.9784838 ]\n", | |
| "Mean error for each coefficient: [0.00577448 0.02470676 0.00778574]\n" | |
| ] | |
| }, | |
| { | |
| "data": { | |
| "image/png": 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