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{
"python_interpreter": "/Users/yves/Python/envs/work/bin/python",
}
// make sure that the Python interpreter is 3.10 or below
\documentclass{article}
\usepackage{amsmath}
\title{The Black-Scholes Option Pricing Formula}
\author{CPF Program}
\date{\today}
\begin{document}
\maketitle
\section{Introduction}
The Black-Scholes model, developed by Fischer Black and Myron Scholes in 1973, provides a theoretical estimate of the price of European-style options. This model assumes that the price of the underlying asset follows a geometric Brownian motion with constant drift and volatility.
\section{The Black-Scholes Formula}
The Black-Scholes formula calculates the price of a European call option. The formula is given by:
\begin{equation}
C = S_0 N(d_1) - K e^{-rT} N(d_2)
\end{equation}
where:
\begin{align*}
d_1 &= \frac{\ln(S_0 / K) + (r + \sigma^2 / 2)T}{\sigma \sqrt{T}}, \\
d_2 &= d_1 - \sigma \sqrt{T}.
\end{align*}
Here,
\begin{itemize}
\item \( C \) is the price of the call option,
\item \( S_0 \) is the current price of the underlying asset,
\item \( K \) is the strike price,
\item \( T \) is the time to expiration,
\item \( r \) is the risk-free interest rate,
\item \( \sigma \) is the volatility of the underlying asset,
\item \( N(\cdot) \) is the cumulative distribution function of the standard normal distribution.
\end{itemize}
\section{Derivation}
The derivation of the Black-Scholes formula involves stochastic calculus and the application of Ito's Lemma. The key assumptions include:
\begin{itemize}
\item The underlying asset follows a geometric Brownian motion.
\item Markets are frictionless (no transaction costs or taxes).
\item There are no arbitrage opportunities.
\item The risk-free rate and volatility are constant over the option's life.
\end{itemize}
\section{Conclusion}
The Black-Scholes model is a fundamental tool in financial economics, providing insights into the pricing of options and the management of financial risk. Despite its assumptions, it forms the basis for more advanced models and real-world applications.
\end{document}
###
### Setting Up Apple Mac Computers
###
BASIC
* installing & setting up OS
* SEARCHING via cmd+space bar
* adjusting dock to preferred settings (search: dock)
* adjusting function keys settings (search: function keys)
* maybe changing wallpaper
BROWSER & WEB
* installing Chrome
* Google account
* extensions (AdBlock, Privacy Badger, etc.)
TOOLS
* Alfred 5 (→ download from web page)
* Spectacle ...
* ... or Rectangle
* AppCleaner
* BetterDummy
SYSTEM & SHELL
* installing iTerm2
* chsh -s /bin/bash
* vim ~/.bash_profile
export BASH_SILENCE_DEPRECATION_WARNING=1
* sudo scutil --set HostName "newname"
* xcode-select --install
* installing Homebrew (https://brew.sh/):
/bin/bash -c "$(curl -fsSL https://raw.githubusercontent.com/Homebrew/install/HEAD/install.sh)"
* execute on the shell:
(echo; echo 'eval "$(/opt/homebrew/bin/brew shellenv)"') >> /Users/yves/.bash_profile eval "$(/opt/homebrew/bin/brew shellenv)"
* installation via: brew install <package>
[* on ARM | M1:
** softwareupdate --install-rosetta | then:
** /bin/bash -c "$(curl -fsSL https://raw.githubusercontent.com/Homebrew/install/master/install.sh)"]
* installing tools (wget, htop, screen, etc.)
* installing MacVim (brew install macvim)
* configuring iTerm2 (wget http://hilpisch.com/iterm2.json)
* configuring Vim (wget http://certificate.tpq.io/.vimrc)
* create SSH key pair (ssh-keygen)
* optional: installing gist (brew install gist)
* optional: configure gist with Github
SUBLIME
* installing Sublime
* Sublime license key
* package installation
** Package Control (CMD+SHIFT+P Install Package Control)
** Cobalt2 Theme
** Origami Package
** Terminus Package
** Anaconda Package (requires Python 3.10 or earlier)
** AsciiDoctor Package
** File Browser Package
* configuring Sublime
** Key Bindings
** User Preferences
* On the Command Line:
https://www.sublimetext.com/docs/3/osx_command_line.html
ln -s "/Applications/Sublime Text.app/Contents/SharedSupport/bin/subl" /Users/yves/Python/bin/subl
PYTHON
* downloading Miniconda
* installing Miniconda
* creating a work environment
* installing major packages (np, pd, mpl, sk, ipy, jup, ker, tf)
* installing major tools (ipy, lab)
* configuring Jupyter Lab (key bindings, plotting)
TA-LIB
brew install ta-lib
export TA_INCLUDE_PATH="$(brew --prefix ta-lib)/include"
export TA_LIBRARY_PATH="$(brew --prefix ta-lib)/lib"
pip install --no-cache-dir ta-lib
DROPBOX
* installing Dropbox
* choosing folders to sync
OFFICE
* Discord
* Apple suite (Pages, etc.)
* optional: Libre Office
* optional: Microsoft Office
* WhatsApp
* Telegram
DOCKER
* Download from Docker Hub
ASCIIDOCTOR
* brew install asciidoctor
* sudo gem install coderay
LATEX
* https://www.xm1math.net/texmaker/download.html (texmaker)
* http://www.tug.org/mactex/morepackages.html (basic package)
* http://www.tug.org/mactex/mactex-download.html (full package)
* https://github.com/amaxwell/tlutility/releases (tex live utility); install Helvetic (URW Base 35 Package)
* https://sourceforge.net/projects/cm-unicode/files/cm-unicode/0.7.0/ (standard fonts, in case)
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{
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{
"cell_type": "markdown",
"id": "f1ea3d77-47e5-4fd7-8b2a-2b41fcf6cdec",
"metadata": {},
"source": [
"## Plotly-Jupyter Test "
]
},
{
"cell_type": "markdown",
"id": "aaf6481f-9c36-4b18-8214-2f3fee7f0b43",
"metadata": {},
"source": [
"Run first:\n",
"\n",
" bash jupyter_plotly.sh"
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "d81fc3f9-5ea9-4b19-8f94-229d32a43d5d",
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{
"data": {
"text/html": [
" <script type=\"text/javascript\">\n",
" window.PlotlyConfig = {MathJaxConfig: 'local'};\n",
" if (window.MathJax && window.MathJax.Hub && window.MathJax.Hub.Config) {window.MathJax.Hub.Config({SVG: {font: \"STIX-Web\"}});}\n",
" if (typeof require !== 'undefined') {\n",
" require.undef(\"plotly\");\n",
" requirejs.config({\n",
" paths: {\n",
" 'plotly': ['https://cdn.plot.ly/plotly-2.32.0.min']\n",
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" });\n",
" require(['plotly'], function(Plotly) {\n",
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" });\n",
" }\n",
" </script>\n",
" "
]
},
"metadata": {},
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}
],
"source": [
"import numpy as np\n",
"import pandas as pd\n",
"import cufflinks\n",
"cufflinks.go_offline()"
]
},
{
"cell_type": "code",
"execution_count": 11,
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"plt.style.use('seaborn-v0_8')\n",
"%config InlineBackend.figure_format = 'svg'"
]
},
{
"cell_type": "code",
"execution_count": 12,
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"metadata": {},
"outputs": [],
"source": [
"df = pd.DataFrame(np.random.standard_normal((100, 5)).cumsum(axis=0))"
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "86de2fc2-489c-43e1-b71e-0400e459d383",
"metadata": {},
"outputs": [
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GKEJAQXlDByh2OJCUn4612du1Xzvy0qD+LD4oGgNjumNwTE8MjO2BCL8QrDy8FS9s/RR2hx33970aw+P6CHra+EoZoDS+MWmKT7RyzXq88Z8PYbfbtce//KILMPGccbp1hQGKgJIBigBPWMoARQgoKGeAIsATljJAEQIKyhmgCPCEpQxQhICCcgYoAjxhKQMUIaCgvKEDlIfWvYXlWZsRZg7B4NgeWmgyMDoRbULiauxFmbUc7yT/gO/TF2Nky364p88ViA4IF/S48ZQyQGk8Y9FUn6SsvALXT7sH5587Hv88/2ysWPUX3p79MV6a9Rhax7fUpVsMUASMDFAEeMJSBihCQEE5AxQBnrCUAYoQUFDOAEWAJyxlgCIEFJQzQBHgCUsZoAgBBeUNGaB8kbYAb+34Di8MuR1DY3u59NRJBemYtWkODpfl4aYekzCpw2iX6hvjxQxQGuOoNK1nWrF6HV5/5wN8/N6r8Pfz0x7+hlvvw/gzx+DCC87RpTMMUASMDFAEeMJSBihCQEE5AxQBnrCUAYoQUFDOAEWAJyxlgCIEFJQzQBHgCUsZoAgBBeUNFaBsOZKCf616Hrf2uAiXdDrT7Sf+JHU+3t35g7a57IOnXIP2Ifr8lP0/O/8PaUUHcXGnMzEgOtHt53Ol8I/09Tijw0AYDK5U8VpvChisJTDmJjf4Izj8gmGP6n7SfefOW4Cf5v+O9954/ujfPfzEc2jTJh63XH+VLs/JAEXAyABFgCcsZYAiBBSUM0AR4AlLGaAIAQXlDFAEeMJSBihCQEE5AxQBnrCUAYoQUFDeEAHKkcoiTFn6BHpGdsIzg24RPG1V6YHSHLyw5VOsy03C3b0vw6QOY0RtbshNxh2rX0Lr4BgcLM1B57C2uLzLOIxrPVTUbl3FL2z9DD/uW4qLEs7A7b0u9th92LC+AsbcJAT+cr2+jTrRmgpPys/54KQrP/3qe6xcvR5vvfz00b978tlXEBQUhHtvv8mJluu/hAFK/Ua1XsEARYAnLGWAIgQUlDNAEeAJSxmgCAEF5QxQBHjCUgYoQkBBOQMUAZ6wlAGKEFBQ3hABipp5kl2Whw9HP6LraTpf7vkdbyZ9i6cH3YJRLfu5pZBbUYhrljyOobE98Uj/67H5yG58lbYQyzI3IiYgAhd3PhMT24/U7bmLrCWYvu4dZBRn4pK24/FW6je4svM/cFP3SW49P4saVoAzUBrWu8nfjQGK94aQAYr37BmgeM+eAYr37BmgeM+eAYr37BmgeNG+oAThYUEwGY3eewgfvbOnA5S3kr7DN2kLMXvkdG1mh96vZ7d8jN8PrMW7Ix9Cp9A2LjXvgAN3rn4ZmWVHMGfUowg0+R+tV7Ncvkn7A79krNL+7Nz2p+HSTmchLrCFS/c49uJ9JZm4Z81rCPMLxotD74C91IA91gzcv/Z1XN3lbFzX7Vy322ahbwpU74HyyXuvwc/PrCFMueUenD3+dO6B0hjeEgxQvDcKDFC8Z88AxXv2DFC8Z88AxXv2DFC8Z88AxYv2DFC8hu/JAGXF4S148K83cV/vKzCxwyiP9NHmsOPWVc9rm8t+OOoRhPuFOH2fObvn4eOU+Xh/5AwkhMbXWFdiK8O8fSvwTdoiHC47gjHxA3FFl/HoFt7e6fuoC9Vyo4f+ehuDYrpj5oAbEGD0Q/UmsqtztuGhv97UNse9rKN+x8+69IC8uEkKlJWV47pb7sbk8ydg8kSewtPoBpEBiveGhAGK9+wZoHjPngGK9+wZoHjPngGK9+wZoHjRngGK1/A9FaCoWR1XLZmpnbbz1EB99mKoDUkti7l+6dOICYzE68PuhclQ/0wmtantratewPR+1+IfbU6t198OB5ZnboJaNrQ1LxV9o7rgsk7jcFrLvjCg7l1g1elDb+/4Htd0ORvXJ048eq9jT+FZmrUJD697B3f2ugSTE8bW+zy8gALVAstWrsWb7350FOSSyedh0sQJugFxDxQBJQMUAZ6wlAGKEFBQzgBFgCcsZYAiBBSUM0AR4AlLGaAIAQXlDFAEeMJS7oEiBBSUeyJAqbRbcePyZ2Cx27TZHccujRE8ap2lGSVZmLrsGUxoNwx39rq0zmuLraW4YvFjGBrXG9NPucblR9pVuA9fpf6ORYfWo1VwNC7pdJYWwpzYT4vdilmb52DxofV4tP/1GBs/8Lh7nXiM8W8H1uCpTR/g4X5TML6N5zawdbnDLGj0Ana7HZmHcxAbHXV0KY9eD80ARSDJAEWAJyxlgCIEFJQzQBHgCUsZoAgBBeUMUAR4wlIGKEJAQTkDFAGesJQBihBQUO6JAOXJje9Dzaj4aOQjaBMSJ3g610o3HEnGXatexoP9rsWEOmaV3Lf2dRwqzcX7o2ZoS2ncfakNaL9LW4S5+5ZqTVzQYQwu7Hg6Iv1DUWApwb1rXsPB0sN4Yegd6BGRcNJtTgxQ1AVzM5ZrJwzN7D8Vp7ce5O6jsY4CugkwQBFQMkAR4AlLGaAIAQXlDFAEeMJSBihCQEE5AxQBnrCUAYoQUFDOAEWAJyxlgCIEFJTrHaDM278S/948B4/1vx5nth4ieDL3Sr9PX4yXt3+Jd0c8VGNo8XXaH3gv+Ud8MPJhtAtp6d5Naqj6OWMFvkhdALVRrJppsjl3NyL8Q/HC0Ntr3Xi2pgBFNf3Vnj/wRtI3eHLAjdqeK3xRwJsCDFAE+gxQBHjCUgYoQkBBOQMUAZ6wlAGKEFBQzgBFgCcsZYAiBBSUM0AR4AlLGaAIAQXlzgQoKw9vQXrxIUT4hyHCL6Tqd3/1e6j279Wv3YUZuHnFs5jQdhju7XOF4Klkpc9v/RTLMjfh/ZEPIzYw8mhjSQXpuHH5LI+GO3/lJOGbPX/A5nDgqYE3IsgcWGtnagtQVMFHKfPwfvJczBo0DSNaniIDYTUFBAIMUAR4DFAEeMJSBihCQEE5AxQBnrCUAYoQUFDOAEWAJyxlgCIEFJQzQBHgCUsZoAgBBeV1BSgqOPlg189ILthb5x2qQ5WCyiK0CorG7JEzBE+kT+kdq19CiaUMb552v7ZMR52mc92SJzE4tifu63OlPjcRtlJXgKKaVkdAf7FnAW7pMRmTO4xtkL1khF1ieTMUYIAiGFQGKAI8YSkDFCGgoJwBigBPWMoARQgoKGeAIsATljJAEQIKyhmgCPCEpQxQhICC8poCFLV/yYfJPyOlKAPD4/pgauL56Bre7uhdssvzkVORj5zyAuSW50P79/J8HKkoxN19Lkd8ULTgifQpVSfzTF02Cz0jOuKxAddjxvp3sK84Uwt3JPue6PN0Va3UF6Coa9RSHrWkJ8wcgontR+KiTqcjOiBCz8dgWxSoU4ABiuANwgBFgCcsZYAiBBSUM0AR4AlLGaAIAQXlDFAEeMJSBihCQEE5AxQBnrCUAYoQUFBeHaDACPx5cD3m7P4Fe4oPaMtGVHDSOayNoHXvllafzNMiMFwLehp6U9v6eu9MgKLayKkowPdpi/FzxnIUWUq1PVYu7XwWuoW3r+8W/HsKiAUYoAgIGaAI8ISlDFCEgIJyBigCPGEpAxQhoKCcAYoAT1jKAEUIKChngCLAE5YyQBECCspVgLK6cBM+S/kNGaVZGNmqP67res5xM04EzXu9dH3uTty5+mU83v+GRneqjbMByrGICw/+hW/TF2Fb3h70jeqCizuegdGtBnjdmQ/QfAUYoAjGlgGKAE9YygBFCCgoZ4AiwBOWMkARAgrKGaAI8ISlDFCEgIJyBigCPGEpAxQhoJvlO/LTMHP9bBwqz9FmnEzpdl6zCU6OJVF7uCRGdHBTyXNl7gQo1U+TWnQA6sShX/evRkxgBC7peCYmJ4z13MOyZZ8VYIAiGHoGKAI8YSkDFCGgoJwBigBPWMoARQgoKGeAIsATljJAEQIKyhmgCPCEpQxQhIBulKvNSdUmpSNjBuCaxLORGPm/PU7caI4lbghIApTq26nNcX/NWI33kufi1LhemNl/qhtPwpLmIGCz2WAwGmE0GHTtDgMUAScDFAGesJQBihBQUM4ARYAnLGWAIgQUlDNAEeAJSxmgCAEF5QxQBHjCUgYoQkAXygssxXhk3X+wqyAD0/tfi16BXdEiLBhGo74fulx4JJ+9VI8ApRpPHdF8+6qXMCSmB54YeBNMBqPPuvpix8vKK3Dn/Y/in+efjXFnjNaVgAGKgJMBigBPWMoARQgoKGeAIsATljJAEQIKyhmgCPCEpQxQhICCcgYoAjxhKQMUIaCT5RuOJGPm+vcQF9gCTw+ehpaBLVDXMcZONsvL3BTQM0BRj8AQxc2BaOJlb83+GEuXr9Z6MeWqSxigNKbxZIDivdFggOI9ewYo3rNngOI9ewYo3rNngOI9ewYoXrQvKEF4WBBMRv7U3BOjYHXYMHvnXHyx5zdc1mk8pnafCLPBpN2KAYonxJ1rU+8A5cQQ5fGBNx4dZ+eeiFc1RYH8gkJUVlbi/oefxuUXX8AApTENIgMU740GAxTv2TNA8Z49AxTv2TNA8Z49AxTv2TNA8aI9AxSP4WeV52HGX2/hcHkeZg68AQOiEo+7FwMUj9HX27AnApRjQ5T+UV3xzOBpDFHqHQnnLyiz2JCcWeJ8gU5XBvsb0a1laJ2tTbnlHlx64UQGKDqZ69IMAxRdGN1qhAGKW2y6FDFA0YXRrUYYoLjFpksRAxRdGN1qhAGKW2y6FDFA0YXRrUa4hMcttnqLlmZtwjMbP0LPFgl4bMBURPid/AGMAUq9jB67wFMBCkMUjw0ZkjOLccvHWzx3g1pa7tYqFO9c3ZcBSoPLC2/IAEUIKChngCLAE5YyQBECCsoZoAjwhKUMUISAgnIGKAI8YSkDFCGgoJwBigCvhtLt+WlYcGCNdsztrT0uwiWdzqz1BgxQ9LV3pTVPBijqObbnp+Ou1S9jUEx3PDPoFlcejdfWIsAZKHxruCTAAMUlLl0vZoCiK6dLjTFAcYlL14sZoOjK6VJjDFBc4tL1YgYounK61BgDFJe4dL2YAYqcs9BSgl8yVuKnfcuxryQT49sMxeVdxqNTaJs6G2eAIrd3twVPByjVIcqdq19Ev6hueH7Ibe4+KuuagACX8DTCQWKA4r1BYYDiPXsGKN6zZ4DiPXsGKN6zZ4DiPXsGKF605x4obuHb4cBf2Tswd98yrMzagpjASFyQMBrntRuBcL8Qp9pkgOIUk0cuaogART149ek8vSM74fmht3FPFI+MpvcatdlssNsduOn2B3DhpHNx1tiR8PMz6/ZAPMZYQMkARYAnLGWAIgQUlDNAEeAJS/UMUAxluXAERQufyHfKGaB4b6wZoHjPngGK/vYf7v4Zqw9vxfWJ52NITM9ab8AZKK7ZHyrLxbx9K/DL/hXILs/XbCd3HIvT4ureI6GmuzBAcc1ez6sbKkBRz1y9nGdoXC/c1+cKpwM2PfvLtjwj8MSsl7EjefdxjT/75Ax0aFf37DNnn4YByjFSKq0yGI0wGgwn+RUVl8BmtSIyMuLo3zFAcfZtpv91DFD0N3W2RQYozkrpf51eAYo55Sf4//UyHEZ/WLtMhLX7ZDhCWun/wM2oRQYo3htMBijes2eAoq/9azu+xjdpC4822iuyI67uejaG1/AhnwGK8/bJhfswddnTCDEF4ez2w3Fhwli0Do51voETrmSA4jaduLAhAxT1sClF+zFj3TuosFXikf5TMDC6u7gPbKD5CzBA+XuMy8orcOf9j+Kf55993FFHpWVleOb515GyJ127Mi4mBo9NvwvRUS3AAMV7XyAMULxnzwDFe/bSAMVQngf/1c/ClLEUlu4XwVBZDPOe+VqHbG2Gw5o4Wfudr5MFGKB4713BAMV79gxQ9LOftXkOftm/ErMGTcOIlqdgaeZG/GfnD9reHD0jE3BN13OOC1IYoDhnX2orx7VLnkB8UAyeG3obAox+zhXWcRUDFDGh2w00dICiHrTCbsHbSd/hu/TFuKjjGbi958VuPz8LfUOAAcp/Q5G3Zn+MpctXayOh5yDKAAAgAElEQVQ+5apLjgtQPv3qeyz6cwWefXI6AgMD8cgTz6F1fEvcf9c0Bihe/BphgOI9fAYo3rOXBCim/cvhv+IpOILjUDlqJuwRnbSOGCxFMKfMh2nX/8FYuBeO0NawJk6Ctcu5cPj/b8ad93rdOO7MAMV748AAxXv2zgYoBZbiGo+D9d6TN647P7rhXW0/jmcGTztp2Y46Vvf9nXOxp/iAFqRc1+08nBrbGwxQnBvDh9a9ha1HUvHxmJmI8g9zrqieqxig6MLoViPeCFCqH3R97k48ufEDRPqH4YmBN6A9Z+a6NYa+UMQABUB+QSEqKytx/8NP4/KLLzguQJl21wwMP3UgrrxksvZ+WLxkBf7z4Wf44sM3kZtfov1ZTIuTz5D3hTePN/vIAMV7+gxQvGfvToBisJTCb+2LMKctgKX31bD0vQ4w1ryRlilroxakmPf9CRiMsLY/HdbuF8Jexzp972k07J0ZoDSs97F3Y4DiPfv6ApQSWxme2PA+dhdm4OVT70SHkHjvPWwjvHO5rRIz1r2NLXkpeHHIHegb1aXWpzw2SEmM6IBL247D2PYDYDIaG2HPGscjqeVQalnUq6fejQHRibo9FAMU3ShdbsibAYp62CJrCWZt/gTLMjfirl6XYnLCWJf7wILmL8AA5Zgxrumoo8un3Iobrr0cY0dVTWtP3p2Kx55+Ee++/hwqrVXF0ZEMUBr6S6W0rAJGkxGB/vKpmg397E39fiVlFTCbjAigfYMPZXFpOfzNZvj7O7eTuOnwJgSseBwOYwAqRj0Je4uuTj2zoaIAfilzYdr9A4zFh2CPSoS122RYEs4CzIFOtdHcLioqKUOgnz/8/E3NrWuNvj8qvAoK9IefmfYNPVgFxWUIDQyAyXzyh3g1Y2L6X2+hoLIEof5BKKosxb8H34p+Uc59n2novjT0/dTSkvvXvo7UwgN4ceid2uwSZ15Lszbig+SftBkpt/a8GBcnnOFMmc9dk5SfhptW/hvXdj0XU7qep2v/8wpLEREaBKPx5D0Rdb0RGztJQM28igwPQQ3bUTao1oKDa/DS1s+10HP6Kdch0r9pf9bztmeDDl4D3IwBSh0BisPhwGXX/Qu33TwFp506SLsyPT0DD86chVeemwmzX7D2Z3xTNsA79YRbOBxVf0B72je8gPfuqL3vDdr/6nwZHBZE7HgfYWk/orDTP1HY4xo4DO6EjQ4EHl6H0PSfEXR4DeymIJS0H4fihImwhuizk7n3NF27s7P2rrXKq50RUPb8Xu+MlP7X2B2OGjfWX56zCa/v/hJtg1vi/sSrEeYXgllJH2JrQQruTbwKI2L66f8wTajFImspZm57B1nleXiiz83o5Mb3y/dS/w8LslbjtQH3IT4wpgn13vOPWmwrxZ0bX0KrgCg81Wea7jes7X2v+43Y4EkCjck+pyIPL+/6HBllWbgm4Tz0jeyKWP/IJjVqqcX78e6e/8PsUQ81qedu7A/LAOWYEaptBsqN116OMXXMQOESnoZ/m3MJT8ObV9+RS3i8Z1/XEh5j3m4Yc5JgOJIMc8ZSOMyBqBwxE/aYXro8sKE0G+ZdP8CcMhfqCGRbq0Gwqb1S2vvG9FYu4dHlbeRWI1zC4xabLkU1LeF5efuX+D59sTa1XU1xP/ZVvVHqzT0m44pO43V5hqbWSF5lEW5b+SLyK4vw+vB70DG0tVtdUD+Jv3XjcwgxB+LdEfzwcyzifWtfx/a8NHwyZiaiA8Ld8q2riEt4dCd1ukFvL+Gp6UG/SFuAt3Z8p/1VoMkfHUJaoX1oK3QMb432IS3RITQeCaGNb/nil3t+x5tJ32rfgz4e/ZjTY8AL6xdggFJPgHLiHihqQ9l3P+IeKPW/tTx7BQMUz/rW1rrBWgLr7gUw2SpgDouDPTgOjuAYHoHbQMNRHaAEVh6G6UgyDIe3wZi7HaYjuwBrORzmENhjesDeqj8sPS8HTAEeeTLzvsUw7foRpkNr4QiKhrXbJFj6TvHIvRpLowxQvDcSDFC8Z39sgJJbUYCH17+D1MKDmNHvGoxuNaDGB/skdT7e3fkDJnUYg7t7X+a9h/fCnQ+V5eLO1S+h0mbB68PuRduQOLefQgUohx25mLriadzY/QJc1XmC2201p8LqD7N673tyrBEDFO+9YxpjgKI01Ek9aUUHsL/kMDJKDiO96BAOlByGOkK7+qW+3tVSH4vdBqvdikqbFRaHFRa7+mVBpd2GcluFdnnLwBaID4lF66BotA6JRXxwDOKDYtE6OBrRAbIN/AstJXhq4wdYlb2txqDbe6PbfO7MAEUd32mzwW534KbbH8CFk87FWWNHws+vao+B6lN4nnuq6hSehx/nKTyN4e3fpAMUazn8dn4JS+9rGwOlU89gOrACpj2/wpy+sNbrHQERcATFwhGsfsXAEdoK9hZdtNNeHGGNc7mHofwI1MwKNaPCUHoYhpLsv/89BzD6wR4cA4TEVfUrJFYLCxxBMXD46/8Tr2Nhjz5PaTaMZblA+RHA4YClJB9B+xbAYCkGTP6wRXfXZpg4onvCHtUN9vB2To2nXhcZig/CnPwDzKk/Qe2bcjTAiempbTyr9k5xhLTU63ZebYcBivf4GaBU2acWHcCyrE24rNM4XY5qdWZEqwOU7YV7tPAkOiASTw+6Ca2DY+ssX3jwL8zcOFs7rvex/lO1n9o2x5cKTA6UHkZKwX6UWsux6OB6WBwWvHrqPWgVFCXqcvUpPJ/umY/ZyXPx4ahH0CWsrcttllnL8cLWz7UPaH2ju6BXi44IMQW53E5jKNiatwfTVj6L69S+J9303feEAUpjGGGgsQYodelklh3B/tIspBYcQIm1zGnIAksJ0gsPYm9JJlRAXf3yN/qhVVA0erfoiHPajahz8+kTb7blSArUqV8qwJne7zoMj+vj9PPwQucFGKAAeGLWy9iRvPs4tWefnIEO7dqgpKQUTz33GtL2ViWM0VFReHzGXYiJjuYxxs6/z3S/sikHKP5LpmunnFgTxqFy5EzdbfRq0JizA6Y982Heoz6wF8EWPxS2LmejIGYoTH5BCAyo2lPDWLQfhtIcGMoOa+EDStTvOTCWZMGYu6PqccyBsKkP+OoDdWRH2CO7aOFKQ21IqgIHY9YmGDM3wJSzDQbtGQ+7T2UK0MIVR2hbWPtcBVvLmn8S6+wNzOrkm9R5Vc9VlvO/MpO/FtjYtVAqFhV+UTBEJsDYspfTG8I6+wzS64xHkmE8sguG/x4DaMrZAfXv6qWCNbsKeGJ7wq6W/cSdIr2VV+oZoHiFXbspA5SqkyGuX/o01Af2uMAWuLXnRRgbP9Djg6IClF+zVuCt5G9xfvtRuLfPFU7fc2teKh5Y+ybah8bhuSG3IdwvxOnaxnah8l9zeDv2FWchvfgQDpZkH/eTZzUm7UJaolN4G1zeeTxihD9BVv0/9hjjG5bPQpm1Ap+Oce2/GVR4cvfaV7Etb89xpJ1C26BPVGf0bNFJ+5DWFI5rVUdlX7vkCc35tWH3ePQtwhkoHuWts/GmGKDooaU2nU4rysS+kkzsKzqkfZ/JLD2ClKIM7evzgg6jML7tqXV+H/0oZR7eT56LQdE98HD/KR5Z3qZHXxuqjcKiYlRUVCA2Jlr3WzJAcZK0oLAIVqsV0VEtjlbk5BVr/8w9UJxE1PGyphqg+G14G+bdP8Jy6v3w++tl2Fr2Q+XIJ3WUkTVlKMmEec98bbaJsTBDCzxsHcfB2ukfcARWvfdd3QPFmJ8CY94eGPJStQ/VxvxUbcaHetnD2sAWPwS2xMmwR3aWPfwx1VWBycaqwCRzI4x5u7S/VR/e7XH9ABV+aDNmouAICIcjIFILKmp9Wcu0GRaG8jwYKouqfi/Ph/HAKm0Zi+qDpf9NsEf3cKkPytpv82wYig/B0m0SHNHd4dBmvMRU/TrhP8LdOcbYpQfS+WLT4S0w5myHIWd71dgXHUDF+Hdgi+ur85083xwDFM8b13YHBijA3WtewYHSbLw7Yjp+2rcMH+36GYmRHXBnr0vR1QMzz9R09V0FGfgxbSmWZG3Ag6dchTNaD3b5TaCmu9+z9lUYDUbtGN/WalZfE3vtLTmEe9a8hqyyI0gMb482IXFICItHu5A4bR8Etf9BgNGdTbrrhjg2QMkoycK1S5/ERQln4OYek5wSrA5PMooPH92LRc1iSspPR3LBXiTlpR0NgSL8QtC7RWec2rIPJrQd5pH+OPXQdVx0z5pXteeeM/ox8RKH+p6FAUp9Qp77e18NUGoT3VeShZ/3LsdvB1bjSGUhzmo9BGe3H66FJNWvnP/OXpm54T1sPrIb03r8U5ul6Muv3CN5ePDRZ1BUXKIxRISHYfL5EzD+jDG6sTBAEVAyQBHgCUubYoCiPiz7r3gSFePf1j7Iq5kbAb/dAltMb1SOmSUUqb3cnL4A5k3vaR9enXk5guNg7Them21iD+9wUomrAUpN9zRUFmqzFdSHa1PqbzAWpmvhg7Xr+bAlnAnH3ydcOfO86ppaA5OW/WFvNQD2lgNga9nf2eZcuk6FBOZN/4EpayNsbUfC0v/GesMg895FVWNSuBfWrhO1/UOUe32vphagnNgfv03vaQFd+cRPtOU+TenFAMV7o+XrAcp7yT/i67Q/8J8RD0LNHFAvNd379R3fQC2VObvtcNzS45+iYzbVDIstR1KxOWc3tuTtxvb8NG0WRd+IbpiSeC46hLdy+w2gpqk/sPZ1pBdn4cou43FhwulNZknP2pwdeGTdf7TlL7MGT0N8kP4/yawN9tgARV3zbfoivLr9K7w9/AH0btGpzvE4Njx5Y/i9dW5wqWYK7chLw7b8Pfjz0HpE+IXiks5nYnKHMQgxN46lPtX76rw09E4MjnHtBxXuvHEZoLijpk8NA5TaHVcc3oJ5GSuxLHOj9r3onPanISawBd7e8S1C/ILx5MAb0S28vT4D0YRbycnNxfwFizH+zDEICgrCt/83D78vXor333oRQYH67A3IAEXwBmGAIsATlja1AMWUtQkBC6ZpS3bU0p3qlxai/Fo1c6Hi9BeEKseXax/SN78PY0FaVTDR8cyqM3DreDlMgdreFXW99AhQTmxfBSnmlJ9gTlug7fVhVbNeupwHe2zvGh9FBSamQ+tgOLz5fzNMTAFaGKU2UK0KTBr2GE1T5jr4bXwHaumTNeEsWPvdAPsJ69XVXjJ+G9/TZsRYO59TFZy4sHN7Uw9Q1GAGzrsO9shOqDztEV3f755ujAGKp4Vrb9+XA5TlWZvx0Lq38PiAG3B6/KCTkNR69xe2fqbNjriu27m4tNNZTg/UkswNWJezE5tzdyOt+CDULIT+Md0xUP2KTtSWStR0Co/TNzjhwle2f4nv0hdrQY/av0JtMtuYXyq0UiGV2iz34X7XNXjoc2KAoqxuX/UissqPYM6ox2p9nurwRM3+eXP4fS4tz1EnCH2V+ge+3/snHHDggvajcGnncV5dCrC7MANTlj2lbaKrNtNtiBcDlIZQrvkeDFDqt8+vLMav+1dhXsYKbanPee1G4LZeFyPIQwcH1P9EjfuKg4eycPdDj2P6Pbeib5+6P+M42xMGKM5K1XAdAxQBnrC0KQUoanlG4M/Xwtp9Miz9bjqp51Uhys3arIWK05/XNgeVvNSSEr+N/4E61tbS5TxY1Yd0HX9q5okA5Wh/reVQwY9p948wZW/VNqC1dTsf1ranaSfNGNSSHLU0Jz+1al+V2L7aDBM1u8Qe2zg2yjIdWlMVkuTugLXzubD0uwHG4kPwW/+adsywteNZsJ4y9aRwxZkxbw4Bipp1E/jzNagY9RRsbUc40+1GcQ0DFO8Ng68GKGrZxvXLnsHEDiNwa4+L6hwAFUy8t/NHRASE4F89L9KWmhwqzcXBsmwcLMnBgZJsZJZX/a4+JKtXoCkAA6K7YUB0dwyK7Y7ONWxQqmeAou6ZXZ6PT1N/1Y5BVpskTkmciAltTvXem6uWOz+75WP8nLEC3jyOuaYARQVlVy6ZifFthta4H40kPDmWQrXzQ8ZSfJnyu7ZsYGK7Ebi8ywS0aeAlWCogvH/tG+gW0c7j+54c238GKN77kmSA4pr9wf8u7axvU2/XWnT9arV/S3LB/04jcr0F9yqCTQFIjDh5pvyJrc37bRE++eJbvP3yLLRoITvhqLptBijujZlWxQBFgCcsbSoBilqqEvDLVO2ElMpRT9Xa6+rlPPbwhKoQxRzospC2lGTj2zAd3qztp2Htc6228ajeL48GKMc8rPqgbdr9k7bkQ+05oo7k1fYwaWSBSW2+pv3L4bdp9tH9V6wJZ1QFJzUsi3J2jJpDgKL66pf8Pcwb30H5+V/oGu456+jOdQxQ3FHTp8YXAxT1AXbq8lmICgzH66c6t2Gm+qnk20nf4Zf9K4/CtwyKqjoeMzAarUNjER8Uo+1DosKL2MDIegdI7wCl+oa5FYX4NGW+tixFbZB4Q+JEjGmATXHr67BabjR93VvYXbAfTw+6uUGWi9T2TDUFKOraeftX4t+b5+DlU+88bh8EvcKTE5/np4zl+GT3L9oGxqe3Hoyru0xA5wY4WW/BwTV4cuMHGNWyHx7pf32DzgBigFLfV4rn/p4BiudsPdXyzoJ0qI2uG/qlwpPZI6bXedvUtL145MnnceaYkZhy9SW6PSIDFAElAxQBnrC0qQQoAQtuhcFahvLxb2kBQF2v/4Uo7VBx+ouAE2uP1camanNO8/YvoGY+WBIvhLXPNR79UNpQAcqxVmrJi71FN+G7xjvl6sQle0R7bTaN9NVcAhTlEPDHnRpHxZmvSFkapJ4BSoMw13gTXwxQZqx7Gzvy0/DR6Ee1PSlcealNB00Gky6zBTwVoFT350hlkbYhrpqK3jGsNf7V80L0j/LO93q1Wey9a16HOkL0+SG3ev2nurUFKMru/rWvY1fhPnw25gltnxIVnty55mXt1I63ht+nbXSr90st+Zqz+xfsLc5Ej8iEo82rnwJH+IciIiAUkf5hVf/sH6rNaHJ3xsqclHna0c2XdRyHaT3/qXdX6m2PAUq9RB67gAGKx2g91nBjnYFyMPMwpj82C127dMRD99wKo9GomwEDFAElAxQBnrC0KQQoasNY039PLyg/56OTTlOprfvq5JuA326GI6wNKs545fjNVK3lMOUmwZibBEP2dphyd8BQkqU1Zel+UVVwEhgllK2/3BsBSv1P5RtXNKcARR3XHPjj5dpeMer929hfDFC8N0K+FqB8tuc3vJP0PWaPnKEtxfHmy9MBSnXf1OyZz1J+xQ/7lsDfaNZOhBkU01NbWtQxtLXHCVZnb8Oj69/D4Jju2n4nQW7MAtX7IesKUFTwdMXiRzE8rg/u6Xs57l79irZkS20Yq/au8eRLbTB8uOwICiqLoY4WzqsoQkFFCQosRSioLEFBZRHUTJ5yW6W29GdK4vku7aEya/NH+GX/KtzX9yqt3hsvBijeUK+6JwMU79k3pzunpe/Do0+/gL69euDu226EyWTStXsMUAScDFAEeMLShgxQ1KagpoOrtVNj1AartlaD6t1o1W/H59oGrhVnz4Y9oqNLva0KUW6BI6QlbF3OrToCNrfq+F/1cviFavt92ON6wx53CmzRPd1a8uPSQx1zMQMUd+Xkdc0pQFEa5n2L4b/8cZSfO0e0tEkuW38LDFDqN/LUFb4UoKzP3Yk7V7+Mh065Rjtdx9uvhgpQqvupPngvObQB63N2Yn1OkvZBXM3AGRTbA0Nie2FIbE/tdCDpSy0hyizLRaXdgm15qXh35w+YmjgR13Q5R9q0bvV1BSjqJkszN2LG+ne0mTIVtgq8OcwzM0/c7ZBagqP25cmvLNKOVb2s87g6N7kssZVh+l9vIyl/L54adBOG1LOhvbvP5UwdAxRnlDxzDQMUz7j6Uqspe9Lx8BPPoXfP7rjuyoth+HvmSXBgACIj5f//oSwZoAjeUQxQBHjCUk8GKGpZjOnAShj3r4Dp4F8wWIq0DV4dAWEwVBTDmJ8ChzkIdrVxafwQ2OIHwB7Z5WiPTPuXIWDxA6g482XY4oe61VNj4T4E/DYNhvIj2gdLe2yvv0OTProsBXHrof4uYoAi0ZPVNrcARWmomVrGvBQtRGnMLwYo3hsdXwlQMtVJOkufxBmtB9W4Qag3RqChA5QT+5hatB8bcnZhXU4SNuXugpoq3i64JUa26odTW9Z8StuxbailLeo0mgOlOcgsVZvo5iCzLAcVdot2WYgpCG1CYjG1+/kYVsupb95wV/esL0BR18zcOBubcpMbXXhyrJnaMPjD3T9rf3R94vnayT4nvg6X5+HeNa+hxFqG54fedvS4bm/ZM0DxljxnoHhPvvnceeGfy/HeR5+f1KE+vXtgxr236dJRBigCRgYoAjxhqd4Binayy4HVUCfYqD1FtBNeVDjSZpj2yxH8v/XEhsoCGLM2wXhoHdTxxGpmiCMgArb4QXBEdYPflg9hGXArLImTRb1USxzUiTwO/3BRO3oXM0DRW9T59ppjgGKwllQt5UkYD8vAac5jNPCVDFAaGPyY2/lCgKI+0N+y4ln4GU34z2kPeQ/7hDt7O0A5EULtC7PxyC5szElGsaUUFrtNm0VSabfCZrdqv1fabbA5rNoSkgCjH1oGRWsb58YHq99jtX9uGRyNtsGx2v4hjfXlTIBSbC1FfkUx2npgzxM9XdRYfJX2Oz5N+RUxgZG4pftkjGrVX7uFOqZYhSdqU+Pnht6OKP8wPW/tVlsMUNxi06WIM1B0YWQjHhZggCIAZoAiwBOW6hWgqCOGAxbeA2NhOuzh7bSwxN72NNhaDXb6CbUZK1kbYTj0F0yZG7QgxTLEuVMTnL5JI7qQAYr3BqM5BihKU50gpfb+qRj/tnbSkqdfhrJcqIBS+1WaAxiMsHY5r87bNvUARR1/qk5kaYovXwhQ1L4PK7K2Ys7ox1zaL8LT49nYAhRP97cxte9MgNKYnteZZ1FLsubsnodv0haiV2RHDI7piS/T/kD/qK54YuBNDXrSTl3PywDFmdH0zDUMUDzjylb1FWCAIvBkgCLAE5bqEaCo4379Fz8Ae3R3VA69T9u4la/6BRig1G/kqSuaa4CivPzWvwnz3j9QPvFTOMwhuhCad/8IY+5OLSRRR2EbSrOgwpOaXpZTpsLSd0qt99UrQNlXkomXt36JCxJGYXSrAbr0s7ZGUosO4JeMlVhwYDXUJp3XJ07EtY1ojwdnO9/cA5R1uUm4a/UreHXY3RgQlegsS4NcxwClQZhrvElzDFCqO5pdno+Pdv2EuRnLcVHHM3B7z4u9B13DnRmgeG84GKB4z553dl6AAYrzViddyQBFgCcslQYo5pSf4L9qFizdJsEy9D7h0/hWOQMU7413cw5QlGrg3Ctgj0pE5YhHRcjGIzvhv+IZbb8iW9uRsAfHACFx2lI8R3AsHMExsAe3PHpUuFq6p45Vtgy6A5Yel9R4b2mAok6rUBsq/rhvqdZ+qDkYn419Qvfp6mpK/+8H1uLnfSu0Y067RyRgYoeRsNqteDvp/9A+JA4z+l/XICebiAbxmOLmHqBcsngGekR2xMz+U/Ui060dBii6UbrcUHMOUKox1Ga+0QGNa5myejYGKC6/XXUrYICiGyUb8qAAAxQBLgMUAZ6wVBKg+K17BX5JX8My+K4mcXyqkEr3cgYoupM63WBzD1CMBWlaiKJCDGuPS+AIaeW0jbrQYCmGeeO78Ev+Fra4vrAMexD28ASn2jBlLEHAnw+hcthDNS7ncTdAsTps+CZ9IeYk/4JAsz9u6H4BTm89CNcueRxtg+Pw4tA7nHq+ui6yOexYk71dm22yImszAkwBGNdmCCYnjEFCaPzR0qzyPDy16QNsO5KKa7udgys6/wNmg75H+4k7U0MDzTlAeX/XXHy55w98OfapRvlBkgGKJ97RzrXpCwGKcxINfxUDlIY3Pxqq5RcjKiIUBoP3noF3pkB9AgxQ6hOq4+8ZoAjwhKXuBCjqw5X/koehlu5UjH4atjbePyJSyOCV8qYcoKTnluKrNQcwMjEGwzu38Iqf5KbNPUBRNqas9TBvmq19nVo7nA5rrytgj+5RL5s5bQH81r8O2CywDL4D1k4T6q058QJz6s/wX/kMKkfMhLXjuOP+2p0ARR0z+saOb5BXWYQruvwDl3Y86+ga/6SCdNy4fBbu63sVJrYb4fKzVhd8lDIP36ct1u7Rp0VnnNN+BM6p5/jbb9MX4e2k77Vw5eEmMBuluQYoB0oO49I/H8HdvS/DpA5j3H4PeLKQAYondetumwGK9+wZoHjRngGK9/B5Z6cFGKA4TXXyhQxQBHjCUlcDFG2z2D9uh8FagYozXzru2GHho/hceVMNULYfLMYDX29HaaVNG7PQADNGJUbhjJ6xOKVdBIxN4KcdvhCgVH9BqdOwzNs/g3nvYthjesDa83JY243SNnw99mUoydKW46llONauE2EZ+C84/Jw/xSGzoALzt2ShqMKKskobynP2oSxvH4rDElGKYJRVWlFaaUdRuRWdY4MxqnsMTusShU6xwbV+7atTJV7d/hU2H9mthSM3dJ+ESP/Qk66fnTxXO5lizqjHtJNBXH3NSZkH1cbFHc/E5A6j0caFkzgOleVqs1G2HEnBDYnn4+ouZ7t6+wa7vrkGKHesegkltnLMHjG9wSxdvREDFFfF9LueAYp+lq62xADFVTH9rucSHv0s2ZLnBBigCGwZoAjw6ig15u6AIyjmuKODT7zclQBFHTWsNot1hMaj4owX4QiK9syD+0irTTFAWZFyBE/8mIxhXaLw8HndkHK4BIuTcrB4Zw5yiioRFeKHMd1jtDClR/zJH3Qby9D6UoBSba4CEvP2T+GXOg+OwCgtSLF0Pls7atxvx6fwW/+WFohWquU6MT1dGqplu3Ix65cURAaZ0bZFEPzNBphNRgQWpMC/cDdMbYfCFN4K/kYjHCNhFE8AACAASURBVHYbKmzAX+n5OJBXjlYRARjZLRqndYlG33ZVgY3af+S1bV9j/oFVGBrbC7f3uhjt61mGdPWSxxHiF4i3hz/g0rPP278S/948Bw/3m4LxbYa6VHvsxd+kLcJrO75C57C2eHTAFHQKbXybaTfHAOWPg2vx+Mb3MXvkDHQObYf7v9qOCae0wlk9XQ/S3B58JwoZoDiB5KFLGKB4CNaJZhmgOIHkoUsYoHgIls3qKsAARcDJAEWAd0Kp+umxKX0hTOmLYLCWHP1bdbSwIyQejtDWcIS30f7ZHtYaJcZoICgSQQF+dT5E9WaxtrYjUDHyCe1DF18ygaYWoMzdlIVXFqTivH4tcde4zid1ftv+IizcmY2lybnIK7EgPjIAY7vHYNLA1ogOqfv9JZN0vdoXA5SjQYra32TX/8Gc9DVgKQfMAYC1HNZ+N9S68WttwpU2O95cmIafNmVhXK9Y3DmuMwL9jp/Zoma1qGVB5ePegD2mF45dwrPvSBmW7z6C5btysfNQMcKDzNqSsJ1BP6DcUIz7+1yJftFdnRrgvSWHcOWfM3FLj8m4vNN4p2pWZW/D/Wtfx809JuMKJ2vqalgtJXlq84fYlrfHqfurDXDHtR2K8zuMbJDApbkFKKW2cly26BFtL5w7el2Cl37bg583Z2r2I7pF4f4JXbQZco3hxQDFe6PAAMV79gxQvGjPJTzew+ednRZggOI01ckXMkAR4Km9DjL/gintD5j2LtY2f7S1HAhb5/HazBND8UEYig7BUHwAxuJDMBQdgKGy0K0bWnpcBsug29yqZdHJAk0pQHlvyV58seYAbh6bgIsHt65zOO0OYHNGARbtyMbSXblo2yIQb1x1ChrTyh5fDlCOHTxz2q8wZm6Epd+NLs8oO5hfjhnfJSGzsAIPTOiizTyq7eW/7BGYDqxBxbjXke/fHoH+/vD3P37T1ZxiC1amHMHnaT/jgHET2uRehPjgKK1J9d4JC/RDRJAZEUF+iAz2Q3iwH1oEm9G1Zaj25+r15Z7f8WbSt/h49GP1no6j9k65fdWL+EfbYbin9+W6fotSR4rmlOXV26bVbsPizPXYX3JYO+Xn7HbDML7tqQg2eSagbm4BykvbPofaH+eLMU9iyc4iPPfLbrxyWR9Y7HY881My1O6Jj03sfnRmU70D4sELGKB4ELeephmgeM+eAYoX7RmgeA+/md25uKQEBQVFiIwIR0hI7cuu3ek2AxR31P6uYYDiOp7aINKUpmaaLITBUgRby36wdRwHW4excPhH1NmgmpmiBSnFmbDmpsPosMAcEAAY/ACTPxwmP8BY9cthNFf9WUCEUxtQut4T361oCgGKzeHAv39OwZ/JOdqSndGJri3byiu14Kp3N2DKqPaYPOB/p5h4e9QZoMhG4M+dOXh2fgraRAbiiUnd0Tqy/g/8AQvvhjFnB3JHvQZzdOeTAhT1ROtyk3D36lfx7KA74F/eGvmllSgotaKg1IL8MgsKyqwoLK36vaDMgiMlFq0j3eNDMbhjJIZ2boHX095CmbVCW9JR28k4B0uzccPyZ9CnRRc8M3gajF6O99SMlZ/2LcWiQ+u1/oxu1R/nthvp9OwbZ0ezOQUoOwvSccPyWZg54Aa0M/bAvz7ZogW8/xxY9X2muMKKVxekYWFSNv45KB43jk6An8kzMa56H6rli3W9GKA4+y7V/zoGKPqbOtsiAxRnpfS/jkt49Df1tRZLy8pw94NPIL+g4GjXhw0ZgNtungKj8fjZxu7aMEBxVw4AA5Tj8dSsEWNpDgylh2EoywFKc//+51wAdhgsZVAbQ9pi+8DeYSysCWe5/NPj6ju6sgeKYIhZWoNAYw9Qyi12PPx9EpIOFuOZC3vglHbhbo3jvM1ZeGNhGj65cQBiQv3dakPvIgYo7olWWO3aMq7ftmXjggGtMO30jjA7u2uwtRyBf9wOFB5E0dmfwC/0+NObDpbm4LqlT+KKLuOd3ojVandg6/5CrE7Nw5rUPKglQSHh5Shs+x2GtxiO6QMvQVjg8Us48iuLMXX504gJiMCrw+5BgAqLG8lLLUlZeHAdvk/7EylFGWgdHItz25+GyR3GIMQcJH7K5hSgTF32NCL+u6HwzFP+hSkfbNQ2sFYh74kvtW/TC/NTtJlLj16QiE4x+v30bNuBIrz4awoOF1biprEJmNivZa1jxABF/PZ1uwEGKG7TiQsZoIgJ3W6AAYrbdCz8W0DNPPn6u58x/szRiG8VhzXrNuLVt97H9HtuRd8+ru2VVxsqAxTB281XAhRD+REYSrNhKPs7ECnJrvp37c9UYJJ93PIahzkYjuDYql/aZrCxQEgc7MGxsEclwhFS+3+sOTscDFCcldL/usYcoOSXWXHfV9uRU1SBly/vjYRo2YeOO77Yqm0g+vwlvfSHdKNFBiiuo2XklWHGt0narI+HJ3bDqZ1cP75aLTE0z58Gc3k2Kkc+Dlv8EO1Bym2VuGn5vxEbFIkXhtzu+sP9XaGWE61OycNPGcuxy/w7zGkT0DOyE87rF69tVuvvb8MLu96ExW7FO6c9oEso4fbD1lOYXLAXc/ctw4IDaxAVEI7nh9xW70a69T1LcwlQvk9fjDeTvtNOXXp+biaKy2x4+5q+8DfV/BMxdfLTs7/sxtq0fEwd1QEXDW4tmnOUXVSJNxalYVlyLs7uG4dOsSFQyxwT40Pw4NndtPfaiS8GKPW9Oz339wxQPGdbX8sMUOoT8tzfM0DxnK2vtpyenoEHZ87CrJkPomNCe10YGKAIGH0hQAlYMA3qFJvq17HBiApEVDBS9Wdx2mwSe3DLBtmolQGK4I0rLG2sAYr6EHrX51thNBrw4qW90Sr85A8DrnZdHXF79ewNuOusTpjQVx78uXr/E69ngOKa4B9J2Xhhfiq6xAXj0fO7Iy7M/ZlEahPZFlteQ0Dqj7D0vEI7LnnmxtnYdiQFH45+BGHmENcerpar71nzGlIKDmGM6Vrs3F+uzU4paf0rHIH5aJ0zCR3DY9E2OggdooPRLipIOz0oJrTxzEap7laZtVw7ZWZD7i7MHDAVw+P6uO2jZ4DyXvKPOLvtMJeOfHb7wY8pzK0owGWLH8WVXcajJKMHft2ajXev7YeW4fW/J9X7+LUFaegYF4RHzkt0eUacmoH11doD2n5QHaKCcN/ZXdA5tur9qr7HPTt/t7YZ8g2jOuCCAfHHHenOAEWP0XevDQYo7rnpUcUARQ9F99pggOKemzerLMWVyNxYtRF6Q778Q/3Rsn+rWm958FAW5s7/Hes3bMawIYMw5epLdHs8BigCyuYeoPivfAamfX+icuxz0E7DaUTH/zJAEbxxhaWNMUDZm1uGu77YirjwQDx/cc+Tlj9Iuqw+dHy2ar+2lKdFsHc/qDbnAEXtDbHgwFr8fmAN1HKVQJM/zAYz/Iwm+BvNMBnN2u9+f/8eFRiJO3pejJZBVRu2nvg6XFSJS99epy3Zuf3MTpK3gFZbfQpP8ME/4b/qaXwV0RnPOYx4f+QMdAvX5yca6j65FYW44s/HcGbrQbi3zxV4cuP7WJ61Bbd1+hcqi8KwN7dUC1X25ZQir9SqPdvVp7XDtae1E/fREw3MTp6LOSnzMDVxIq7pco5bt9AjQNmen45nNn2IfSWZWnjy/ojpDTqT57GNs7E7fx9uaXMHZv6YjJcv7ePSJrG5JRbM+nkX1CbI7aOC0LNNGPq0DUfP1mEIMNe+plsd1f324nSUW2y4cUxHjO8dW+MsFnVa2X8WpyMhJhDTz01EmxZV+wMxQHHrLatLEQMUXRjdaoQBiltsuhQxQNGFsUEbydxwCJ+M+KhB76lu1mpAPK5afm2t903enYrPv/4Be9L3onfPRNx9603w89PnhDsGKILhbs4Bil/yd/Bb+yIqxr0JW8v+AiXPlDJA8YyrM602tgBlZ2Yx7vtqBzrHBWHWhT0R5Hf8KSnO9Km+a6Z+uEnbcFRtPOrNV3MLUHIqCjB//0r8mrFa+2DbOaytNlPBbKx/DH87sBr5FcW4u8/lGN9m6EnDopY+7DhYjDlT9fn+dewxxtsPrsXNG9/HQ+U5mDj4Nljbj9H1baFOaJmx/h10CWun7Sny1vD70afFyUdwqw1Hf9uajTcXpeH1K/uiV+tQXZ9Dr8aWZG7Akxs/wNC43nik3xQtHHP2lVp0AJ/s/BW9Yzrhwo5jnS07ep1aZvVu8g/4Jm0h+kZ1wUUJp+OZzR+jR0QHvDrsbpfbc6dgfe5O3Ln6ZUzvcSte+7EEU0a015bjuPNS4dlfe/KxNi0PWzIKoWaXqM2I+7YNR5924drvav8cdZ3a92fTvkJMHhSP60e2r/d7owod1b4rW/YXaqHc5UPbMEBxZ5B0qmGAohOkG80wQHEDTacSBig6QVY3Yy2H+eAqWNu7/v+fzj5JY52BUv38hUXFuPmOB3H1Zf/EP87Sx4EBirPvjhqua64BijopJ2DBbbAMuReWxMkCIc+VMkDxnG19LTemAGXr/iI88M129IgP0zaMresnsfX1q66/3324BLfM2YwZ53XD2DqOvZXcw5na5hCgqKUdizM34NeMVdh4ZBeiAyIwrs1Q/KPdqegU2sYZBu2aCrsF7yX/gK/2/IEx8QNxf98rji6jUfueXDt7oxZ4ndal5hkqTt/o7wurA5QyQxmuXfIEBkQn4glLPlTYrL5Pqu+Xer7U8qCFB//C0wNvxqhWdYdAD32bhD3ZJfhoav96PyTr+YyutJVatB/3r30DYX7BmDX4X4ivZ0bj4kPr8XXaH1An/VS/Iv1DcVHHMzApYbRTS6Y25Cbj35vnoLCyFNN6/hMT24/UmlJ/fsfql3B++1HaLB93Xup9/MLWz1Fmr0QLvxBE+Idpm8NGBIQi/O9/b+EfgkBzIG5Z8Sx6RnTCrnWnoHNcCJ64QL8gdv3eAqzZc0QLVdRMPPXqEB2k/XOvNqG4b0JXbcaKK69ft2XjzYVpaBMZgGlj26FX60iY6pjl4krbvNZ5AQYozlvpfSUDFL1FnW+PAYrzVnVdaSzcB9POb2BOnQ8YzSi75Fd9Gm6irdxw630YPXIYrrxEn8+1DFAEb4TmGKCok3QCf74Otg5jUDnsIYGOZ0sZoHjWt67WG0uAsiYtH49+n4T+7SPw1D97OH+qipt07/yZjvlbsvDJjQMRfsIJKW426XJZUwxQMkqykFteCIfBgd8yVmHe/pXwN/phTKv+mNB+OAZF93DZ4diCLUdS8NSmD1Bpt+KR/lMwMLo7Hvl+J7KLKvDONaeI2j62uDpAuWfDK8ivKMJ7I6ZrMylMGUvhv/xxOEJaVS13DHM+BKrz68xaimVZWzChzan19qGowqoFRr3bhOPxCxLrvd5bFxRYijF93dvYU3gQzwy+Bf2jjj99psRWpm1A++2eRThcnofeLTphUsIYDA3ri0O2bHyfvgjzD6zSTiA6t/0IXNZ5PFoGnrwpcIm1DK9v/1p7r41s1R/39L4c0QHHn8b1y/5VmLX5I9zV61JMTnDtJ1Jqidk9a15FsbUUscfcX812KawsRn5lCcps5UeZQ8zBSCy4AsXFZrx5VV8E+ulzjOKJ46g2Sl69Jw/r0/Mxqlu0y8e3H9ueWjL0/N8b2D50dhec1TvOW28bn70vAxTvDT0DFC/a5xcjKiIUBs+c3u69jjXEnR02mPYvh3nndzBlroMtri9s3SbB2uF0oBGd3Odpiq3bd2J3ShpGjRiC8PBw/L5oGT754ls8ePe/0K+vPodCMEARjGJzC1AM1hIEzJsKR2AkKsa/LZDxfCkDFM8b13aHxhCgLE3O1fYRGN09Go9NbJgPjGqqvDp2tHfrMDx07snHjjbEiDTWAGVfSRa256fhUEk2DpZm41BZLg6V5iC7PP8oi/qg2yG0Nca3G4qRLfshyCTf5Le6cfXB9c2kb/HD3iU4PWYkli3phNeu6IvebfRb0qIClI/Sf8JP+5fho5GPHLcJqaH4EAKWzICxMB2WbpMBuwUGSwlgKav63VYOQ2UJ1Gk+2p9VFuo+a0XNxrrj863akbin94hpiLej2/d4Yetn+HHfUtze8xJc1PF0bfnWF6kLtD1wjAYjxrUejIs6nYmE0HjtHsfugZJXWaSN8w/pS3CkshCntx6Ma7pOODp7aVX2Njy7eY5Wd0+fKzGyZe0h2rs7f8AnqfPx4tA7MCTGuaMN1bHVd65+CW2C4/DMoJsRZK7aK6Sml9o4VoVGczdk448NFXjvun6Ir+GkG7chG6Dwh/UH8NrCvdpsrhFd9ZnN1QCP3SxuwQDFe8PIAMWL9gxQXMZXp6WaU+bCvPN7wFICa+cJsHW/EPbwBJfbag4FO3buwqwX34DFUrVPnHpNPn8CLp50nm7dY4AioGxuAUrAonthzN+D8nM+hCMgQiDj+dLGGqBkFVZi/3+PTbXY7LDYHLBa7ai0O47+s/bndod2ysHIrtFHN+rzvJh+d/B2gKJOpHjmp904o0cspp/XVXSsp6sqWzKKcOcXW7VjjQd2aPivkcYYoKhTTT5O+UVbUtEmJBatgqPRJigW8SExaBMSg/jA6AY78UTtNXHvinfhZwjAm6OnoWu4fhur/pq+Bk9v/wBPDbwJo1sNqPGt47fuFfglfQ2HXxjgHwztSPeAMMBw8owDdbqZre0IVIx8QreTy95ftg/frzuED6f2F5045OrXhTvXqxDkxW2fIzYwUgvaukckaEtzTo8fdNIeKbVtIrvg4Bp8vWch1NHJp8b21r4XqABFLdVRS3ZCTPUvXXlsw3tYfXgb3hv5UL3HLe8uzMBdq1/B0NieeKT/9U51W23g+s1fB732PcOph6zjIrWJ7Pp9JXh2fgr+fVFPr3zfk/ahqdYzQPHeyDFA8aI9AxSn8Q2WIvitfgHm9N9hj+4Ba+JkWDucodt/Uzj9II3wQofDgYKCQpSUlqFlXAzMZn02j63uKgMUwaA39QDl678OIjLYD9Gh/mi19zu0zPgG/ue8AXvkyZsVCpg8UtrYAhQ13fnjFfvwy5bDsNkdTvdZbf53Vq847SfGEUH6fnE7/RAuXujNAEWdFKE2RvxHn1htbb83Zng+Nz8F69LyMGfqAAT517/ZqYu8NV5evVnoDxsPoV2LQFw3qgO6xulzbK67z6f2tHh8w/sot1Xgkf5T0aeF/KQbd5+lum7Nnjw89MMWDB+RiiXZa7STX86IH4y2Ie4tP1ibswPLMjdpv9RsgsntT8ddffQ5Bs90eDP8F90HR3h7VJz5Ihz+8kBOfe+55eMtUPsov37lKccdRyu19US9Wn712/5VuCBhTJ1hV32n8GzNS8W3aYuQWngAD5xyVY0b7tb1/LesfBZHKgq1ZVlq/5KaXiqce/Cvt3BB+1H4V88L6+VQx6o/OTcZ6TlluH9CF9Fymnpv5sELqk/hmbctG28tSsNzF/Vy6fQgDz5as2+aAYr3hpgBihftGaA4ha9mtKr9KtWMk8oxs5rEZzenOtZELmKAIhiophygvPJ7KuZuzDqp9/5mI6JCVKjih6jQAMSE+mFY5ygMSogUSOlbWlJpxfRvd6C00o6hnVpgSMcobbM8k5rW0cCvgjIrPludoVnGhfnjqtPa44weMfV+cFFr1Rcl5WBx0mEkHSrRnn1QQgTG9YrD8K5RHtsMVQ+eNxemIjLYH5MGtkZwAwUI6rk/WbUfHy7bp50ocevpHfXoilttqPfflbNXo1unCgzr6ad9oPLUS50wNHfDISzemaudttEtLhgqrFO/1NfkNSPae+XklQ93/4wPdv2ESR1GY1qPC106VcVTVqrd6z/YhK6tQvHg2V20mQjq2Fq1X4Xag6JXZAJ6teiE7pEJ6BPVqcZNSNVSoNWHt2qBiTo6uNRWjpiACIxtPQhDI/ugf0w3+Ov4njcUHUDgH3fAYTCg8oxX/p+9qwCP8ui6Z13i7i7ECO4Q3LW0QOGj7u60QPmg1KDupd5+pQZFirsGCJBASEJC3N2Tdf3/mRAIkGQ9Qvc+zz4JZPTOvLs7Z+49xyz8KeWNcjz040UsGuqD+3qotLGhe0AXgGJoezeXb1KK8Uj8O3Dm2ePrka/e0tyhsnN44+IP11KOdPW3/3I1PjuQh2B3AVbPjYCrrf6qQ7ra7uq/t5Ux/uVUMf48V4pPl8Qg3MN86XFdPafe0p8VQOm+lbICKN3oeyuAotP5JA2YgCcMRTNk0zZAKzTukkhnR9YCHXrACqCYsDl6K4BC+CPe2JGJT5f0RSy/GPx9T6Cmz4OoCFiAapECNc0K1IjkqGmSg6hZkLQFcuP/9MTgLj0wt7c0ZQ1yLCfgiVyFydGuKKiV4VJREy06MNCBHipHhjrDzc6yX1glCjX+SCjFlgvlcLXh4N7RfpgQ4aYTOGlvTtXNChxMr8bRjBrkVompisaYcGdK2kcIUrsBF2r3qSioleCN7ZmoFSsg5LDQKFNhSrQb7hzsbbDKg6GP3RdH8mlqwn2j/XDfSPOlZeg7DsLRkFafj7S6HFyuz0eeqPRaVW+hK56LvpvK75rDCFByKL0GOy6WI7tSTEHMaX09MKOfB2xYWrBYLJzKa8Smc6V0v/Tzt8e9I/3oXrG0FYrLsSbpB9T/P4fHyv4PYIir/gSwNSIF9qRU0rFawg5n1GDd7mz88figGw6sRMUltSEHqXV5SKnNQiPhJAHgKXBBpGMgohyDYM+1wfHyizhdlXLtb2O9BmC81xAKvBBrK2NszvHTL0KHXwSjqQTySR/TMFxT7cDlahAZ5y+WxiLSq/cfdC0NoBB/l4qr8Ej8Ooz2iMWK/vdfWwIif/xZ+iasGfAwJnoP6XRpyOfCuj3ZSMitx0NxAVgw2LvHvH8bu6faAiikjY8P5OJweg0++09fBLsJjW3WWk8PD1gBFD2cZKEiVgDFQo7Vo1mrCk/nTqLfGfY9AYZKagVP9NhPlipiBVBM8GxvBFBK62V4+OdkLBnmi3sHCMDfuRQat76Qj3+vQ08cz6zFpwdzaZTEytl90N/vRjUDE1xoUNW0kmas2JIBd3su3pgTSiNkBDwObSOtVIQLhfW4UNhAAR8fZz6GBDpieIgzhgaZL3pGptRgS1IZ/jxbRiN17h3li/FGAiftTb6sQYZD6dU4kl6DojopYnzt8PadkbDjdV96D8lIIreOP8cXIdbXHs9PCoCzDQ9JRU3YnFgGsi6ED+TOId40IsiUOKB6iQpFtRI698IaCUrqpJCrNRQke3piEOYPaiGVtLQViMpxsjIZaXV5SK3LRbOq5dAdZOtNUw0inQJx+KIKVU1yOPgUIFuehsEuUXgldgm8hW5GDY+AlduSynEgrZpGmwwPdqKgydBgR7Cu0tHfzIFysagFSDmb14Aob1saATXMjPu97UR+y9uPDRlbMdl7KF7suxi2bP0PT3nVErzyVxrI+j44xh9LR/ga5aOOKqm1Wtzz7QUKPD4xvvPoJKIKlNaQj8t1uSApJPmiMtosAcIIt8l470GIdLiVeM1SAArtXKME99SbYBefoJwoaj/To5pWb8/ElfLmHi1trO8m6AoAhYyFpAI9efo9yp+yOGgKvkz/G9uLTmD90Kcw0LlzsmryGbT2nwwIuWz8d14fBLvq/3zo64fuKHczgEISVN/amYXE/AZ8dU9sr+Tx6g4/GtOnFUAxxmvmqWMFUMzjR2NasQIoHXvNCp4Ys6MsU8cKoJjg194GoJDD/+O/XIKzkIlPJmrATfwM0Kghm/6tTsIhIpP56YE8mnYyu78HnpwQ1KVpJuRG9f29OfSWnagBqJVKMFnMawBK22Uk80wpaaJSjkczqsHnsPBwXADi+riYsNoACcv++kg+HAUEOPGzuNJFVqUI7+zKppwq6xdEw9vRfKol+jqiopHk8V9Bfq2MrvmsWHfczIGSXSXGX2dL6d7wduJj/kAvTI91p5E0NxsBBqqa5agXqaCBFlKFGiezalBcJ0VBjQxieQtjNkkh83cWwteZDx8nAaJ97LssVeVExUWsTNoAF54Doh2DEOEUiGjHYEQ6BNyguEEiKr49VoDkokZUaUqg9j4D8BoRyR6BRQHTMCjAFY7t8NrUS5QorJWiqFaKwloxSupkUKg1uFImgrMtBzP7eWJajDsF6G62jkhkCfjyZ0Ip9qZWIdTdhkbqjAo1j2JGibgKay5+j3JJNV7tdx/iPPrru31ouTO59XhzZxb8nfiY1d8TH+3PpSpGk6PMpxRDuGG+O16EPx8fBDsDJaaJ5G2FtA4hOuSHLQqgXPUoJ/k7cFJ/gnLoi1D20c2z0dlCSJVqKm3cz88BK2aFGbRmPa1wVwEoZN6Hy87T/U5ANKK48/Hw5zvlZyHvzz+eLMJf50ppNB75rOGwTIGRe5b3bwZQyOgIYEmkwrMqRPh8aWyvUxbqWR7ueDRWAKX7VsoKoHSj760pPO06nyFvAG//04BGDvmUL61pO923RWnPVgDFhAXoLQAKkdhk1aRh1REJUutt8IfbOjgwJNA4hUE+4X2DHsLEggYaJk+4UlbMCkeMj50JHtRdldx2fXeskEZA3DHIE09NCKYh0fqSyJKDKeEn+T2hGPYCDk3/GBuhm6OkdWS51WLsTK7Aocs18HTg4T/DfTG+CyVCCcCwcksGcqokWL8wqkvD8Qlh64aj+QhyFWD1vMhrqh4dkcjWiJTYfqGM+kulBiZGuVI1IpIS1poaRkLcW40ABG52PHg48BDgLICvixB+znwEugjB59yqWqJ7t5heYmvBUXx8+U88FnEHloZM07tBAoIkFzfin+KjyNTGQ6tmg1U5FL7MCCp7TPYsATnagkQ8NhMBrkIEuwkQ5GqDSG87nc+TLhWeJpkK2y6UY/O5MgS48PHUxBAamWKsbSs8ho/S/qDpSa/1uw9OXMOed6I+suFYAY1MWj23DwVdCRD5wd4cfLgoxixklASUW7IhkXLymDuypa3fugJAIf2x8/eDRqAXggAAIABJREFUG/8GlJGLoBz8nLFLR+tllIvw9MYUrJnbB2PCTQOQTRqIiZW7EkAhQyXSxruLT+Ojoc/RyKSOLLm4CV8dzkeDRIHXZ0eYZT+b6CqzV28PQCGdEJW5ZZsvo6xehq/u7QeXdgBfsw/mX9agFUDpvgW3Aijd6HsrgHKL8yl4QtJ21HJr2k73bc0berYCKCYsRE8FUJgNOWBVXgKj8iKI0gNDWovtkmFY33gXvhiah5iwEGjcY6HlGHewIjebXxzKp7fdJKXikbEBqJJXw8/GwwRv3lqVRJKs3ZEJoqzxwtRQGv3QavoCKK3lSVtbL5TTSAknYUsEybgOgBQCWhA+hV2XKpFfLaYHj3kDvGg6TXcYue17b082JRJdNTvc4gchEiFB/J5RJqLpFnfdlMevS4WHHGj3p1XjTE7tNZUnApQQtSfyIvw0PZFU8YuMzfgr7xCW97sPM3xHGr3UtfImrLv4BxJqL8BB4w1m+XDYaFwQ7GZDXyHuQgS728DXSWAwP4IuAKV10FfqyrHrnJg+o6PDXfDEuEAKAOprIpUE7yb/ghOVyXgxZgklizXEyJ79ZH8udqdUYdFQbzw6LvCG1K4f44uwJbEcny/ta3Kqw29nSrA1qQy/Pz7YolFxXQWgED+zqlLAPboMGrcYaFwiABYXWhtPSjKrtfWClq9/dNGvp0vw59nSXiFt3NEe62oAhYyDpO0Rae5WI+BvakkTUoubkFLahKwKMRQqDSZFueL5KSHdzg9myPNpSNmOABTSBvlcfeGPNBCVMBKJ0l7EnSF9Wcve6AErgNJ9O8IKoHSj760Ayo0HdVk9ePufBEOjgGzKV9Ca+azVfSvdu3u2AigmrF9PAVDIl21m9SUwKy+BWZUCIm2l5TlA496PvrLZMXhkh4iSN94z0jzcA5mNhdidl4LduclQ8CoApopKht4XOtMEj16vStIjXtucjtIGGU3ZIXwmbc1QAKW1LgFHNiWW0Rt6cpgnHCYTI1s4K8ht7a7kChz9f84XJyEbs/t7Ynpfjx4jL/z72VL8cKKQghokEsYSdiijGp8eyIeHPRer5/WBn5Pglm50ASiWGJel23w96Rscr7iA9UOeNhsZ7KW6bLyXshGEgHZx8BT0dwk3ue3OAJSE6jQcLUvEsfKLVD1mgtdgTHOfgt+PN+JKuRhzBnjg/tH+Ovl0LjfkY3XSN+CwOHhr0OM6U1tuXhuiUrRqyxWaRrdsRhglGm7PSCTb+fx6fHN/f6MBNdLXoq+S8Oi4AMzp72nRbdKVAAqZCFHoYWduBrOpFCSKkCkuA1SyljmyeNDYeEJr6w2NnRfUfe6ExqFj7pdnf08FUf76bEnfdlPDWh3HqkiExjkcWm738Fx1tIDdAaBUNimQVtqIlOImyvOUXyMBoSIKchVSMD3W1wGxfg6U5Pl2ts4AFDJv8gw+/WsqTUuc1c8dU6I9uu2y4XZbByuA0n0ragVQutH3VgDlmvMZsjrw9j9ljTzpvu3YYc9WAMWERekOAIWAIwQkoWBJ9SV6U0lMY+cPjVs0jSyhr6tfpglg8OCPF+HlwMeHi2OMJvjMaS7BxZosJNZk4FJtNsRqKYJtfdDfOQKV5Y5IKCmE2iMRUbxBWDfyQQpAGGuthJOEtHbdguh2mf6NBVBax0RuzAhnBFHRIREpHBaT8nCMDnfGrH6eZiWeNdYP7dU7mVVL+STGR7jQw2kruaipfZBUqU8O5GJPShUFZwjQ1pEs9O0EoBD+i2Xnv0BOYwk+HPYcYpyCTXXlLfVJGsze4jPIaCygcr8jPfohzqMfBVMEbL5B/d0MoBCp3mNtQJOR7rGY6DMYPCYH3175h4I3JHqkD2MUfj1ZDZFMjaUjfXHnIO92eRpI6sK3V7Zjus8IvNB3MQQs/aNWyETIofPlTWmoFSnxzp2RnRJOkyiVVzelg6hQfX1vrFE3+CQ9iKiK/froQLM9Cx0tSFcDKO2Ng4TxMkRlYDaXgSEupyALszYTDHEl5NO+hsY+oN3hk/S6Z39Loc80UV9rj1+HXXAI3JP/hZbnCOWQ56AKmmrQ3rRk4a4EUDIrRDTtjBBXk5SzPl426OvjgL5+9ujra9cut5Ml597dbesCUMj4GqUq/HOxHISrjKT0eDnyMDnKHdNi3eFpb9h7SHfPtyf1bwVQum81rABKN/r+NgdQWKWnwT2xil6EkM9brcAR4NrTi28aXcqzh5bvCC3HBpykr8DQKq2RJ923Ha0AiiV835UACrPmMtgZf4JdcLgFMHHuAzVJw/HoD7XHAPoQtmeEP4MoMfz08EDY60GuSEL3C5orUCiuQJW0DlKlHLuKT9FwZi+BC4a4RWGQawQGuUbCgXM9vJmo+3x14SROSLaBKfLDJNs7ccdAL52cDq1jbiV+JV9etySWwd2Oh3cXRHWYV20qgNLaL/nit/FMMT28ze7v1StuE0mkDDl4hroL8eadEbDhGg9WET+oNFoqT3y+oAFv3BGhU8XldgFQKmX1eDHhE4hVEnwy/EUE2lpW4adBIQIhqD1WnoTzNRl0Cw53i8FYr4EY49kPDnqk1BEAJbkpEycrL+J4RUukyVDXaEzyHYo4z36wYd0YMbS75DS+u7INYpUMCwIng1UXg7/PVtGoqofiAmn6AaG7JGN748L3SGvIw6uxSzHJe6jBb5lkXxKJcS6LgfcXxSDA5dbopZsbJemA5PbaVsCinChsAzS7SarZ4g1JeG1mGMaZSBCtz2R7AoDS0Ti5x1fQdE35VAKi+LdbjABVz/2eCiaTQeWN26ZbsAsOgHtyDdRew6DlCMAuOga111Aohi+jUS7dbV0BoJAICkIKTUiPCRHzw2MDeiyQ3pXroQ+A0nY86WUiHLhciaMZNWiWqRHtY4spMR6YEOli8mdVV867J/RlBVC6bxWsAEo3+t6MAApDJYa2TSpm982qpWd27i5wT78DjWMotLzrNAoMuQgMRSMY8kZArbg2TJKya03bMW3Vyiqq8PKKtYgbPRyPP7jUtMba1LZGoJjgyq4AUNhFR8FO/wPM+hwoQ2ZCEzCxJcSao1si8a/zZfQLIblxbI/s9VxNOgqay1DYXI4CcQUKmyvQqBRd8whRIQiy80akUxCGuETAx+Y6B0lHbkuuzcMrZz8DS+EIee54hLo44o5BXpgY6XoLPwGRfbxY1IDEgnqkFjfTJoPdhBgU6IgHRvt3SiRqLgDFhOXv1qplDXK8simNHoY+WBhDU26MMXKAJYfe/Gop3lsYhT6eunlxbgcAJbupGC+f/Qy2HCFV2XDnOxnjPqPrSNVynKu+jOPlFxFfmQKpWoYIh0DwWJ2nAzTImlEoqcBgl0gKmozzHAAbdudAhUytwB95B7AxZx+NKFkQMB3FWf5UNSnWzw5hIWLsa/wbbnxHvDnwUb2e85snnlTYiFf+uowwDxusWxBFo7r0NQKEPPZzMmJ8HbBqTrjeUXIf7M9FDokWuK+fvl2ZVK4nAyhkYtxjy8GqToV82gZo7NpP8SMgylMbU2gUxRdL+1LFInb+PnDj10IVNAWK0Wuoj1hlZ8BNeA8MWT2U/R6CMvoek3xnamVLAijljXJ8f6KQHvgJ6PdQXABGh+nPMWPq3Hp6fUMBlLbzic+uw+GMahy/Ukv/m/COPTDGr93U0J7uh+4YnxVA6Q6vt/RpBVC60fdmAlCYTQVUtYaIZWhcIrtvQld7Jgp7RGmPKOwRpb0OTSUFQ94EEnGqFbhCK+i9BPDd7fRmkZiCJ41NzRgXN9IKoHT3grT2bykAhaTpsHN2gZ3xF5UZVkUvgSp0lkGkr5fLRHj+99RbeE9KxVX4p/Ak9pScvgaWuPDsEWLnh3AHP4TY+1DQJKSDL+D6+L5YXIkXEj4GB3zEKO9AfLqUpshMi3WDux2fyguTvHJyeCdfWPv7O2BggAP6+TvoFSVDxvBvB1CID5plKqzYko5GiYoS+RqqskE4EV76Mw0ypRof3h0Db0f90kl6O4BCgMOViRsQbOeF94c+C/s2kVT67G9LlEmszUBqXS44TDY4DDa4LDZYTDa45MVgg81kUU4SjQIId/SHm43hHBW18kZ8n/kPjSgj0WTTPCbjeH4e8hjnwG2IxFyPObhrsI/ectlEoepoeg2OZtagvEGO4SHXlXYM9VFRnZRGoszs747HxgZ2Wp3IexMggMiofrQ4ptM0IUPH0Vn5ng6gkLHzjr0GEq1II1E6eA8n0uSEE8WOx8aXoyvgfHYtVGFzoRj+6o3TV8vBSf4BnPSN0DiGQDHiNWhco83pUr3bsgSAQni2fo4vooTX7vZc3D86gAL9BgRB6T3+3lzQFACldd6EJ+VoRi2OXanBhcJGPDY+EIuGdH9kU09fl4/3ZePu4X7w0vOzuafPpzeNzwqgdN9q1ZoBQCHcIfw9D9H0VpIWI5v5E7TC9vnYumKm3IR1YGfvgHLQ01BGLemKLv/1fajUary+9j24ujhDIpbA3cPNCqD0lF1hbgCFIa6goAk7exe0Dv5QRd0NVcAEgMEyaMpEyvSB7y8gwEVIeU/kagWOVlzAjsLjSKvPo7KMs/3HINYpFMH23rBl645mMWgAV1MCXj77KeoUTXh30HPIyGNi+8VyEN6DAX4OGBDggP7+jkZzpVgBlOsr8svpYsrnEuohxNMTg/WKIiGSui/9eRkOAg7eXxRtkHpCbwFQSsRVqJE1olpejxpZA6QqOXXaT9m7aOrMm4Meo5wkvcn0VeHpbE65zaX4/PImJNVeoc/+i1H3oK7CEzsullMgZEhQS9QYkR4m6T1traxBhgNp1Th6pYZyBhFlHwLckZvlSC/d0UudjYuE/hPJ3RenhmBWPw80y1VU6SSvSozsShFyqySUyNOGx0aYuxCDghwtRqbc3jh7A4ACjQq84yvArMuEbOoGqtjTnlEQ5X/n4aIqw2cjK8EZ9kyHS8NszKcRKsy6LCj73AnVwMe6PCTanAAKSdv89XQxlVu3F7Bxz0h/zIh1Nyh9rDe9Z5g6VnMAKG3HcDa/Aet2ZVGgdtWcCIPUwUydS2+pT7ikVpDI0BoJ3aMkOjTcw7T3194y954yTiuA0n0rYTKAopKBv/cRCpzIJ38K3oFnwFA0QTbtG8BA3jmTvaBWgHdiFVilp6AYtapHcYuZPLc2DWilUihz8s3ZpF5tMQR8cELb5y787OsfUFxShnfWLMe7H3xuBVD08mgXFTIXgEJy3jjnPgbJQ1f7joYqagnUHv2NmsWpnDp8tD8X0GqxapEnDlWcxP7Ss5Cp5ZjsPRQz/EfS8P+uMJKm8HriNyCqHh8MfcasBJ1WAOXGFSRpEN8dL6C3qXF9XOgtfkeytSQ66dVNlxHhZYu35kd2mirV3j7pagBlX2kC3k7+CVwmB2wGqyVKg8kC9/9VYtgM8nvLi6S/NCpEqJY1Ul6TtubEtaPAoafQFaH2vlgaMq0rHgGz92EOAKV1UKerUhBi7wePNulLhAdnx4UKkPcRQgQ5d4AXBgc6IiGvHkfSq0EInsn/x10FTfRJ+TLECSez67B62xVKckoipOz4LHpwCPe0pfuVyED7OOkXKWVIv/qU7RUAytWJ8I6+CmbdlQ5BFHbOTtTGf4MHG5fB09kBH97dV+f7ADt7OyW0I19AFXFvQu3eNalTZEqmAigENCHcJmdy65BV3gyJQoN7Rvphdn8Pi0pf67OvenoZcwMoZL4kenL9nmyQ1D/yWTVvoGUVtHq6j9uOj/iEvAcGuwvx0iR//Ha+Eicy67B6bh+MCOnaVNPe5Ddzj9UKoJjbo/q3ZyqAwjvyMhjNZZDP/I6C/QxlM/i77ofaJRKKuLf0H4iJJUk2AffwS2DVZ0M+9m2ovUeY2GLPra7MzkX1c693+QA5YcFw+/TtW/rdtmMvdu49hI/WrYajgz3WvvuxFUDp8tXppENzACgtX0q/htYxAIqRKztUUdA1b3Kj+OnBPJzNq4drQCG47jkolJTA38YT8wLiMNV3eLelKqxP+R8Olp7DG4MexSj3WF1T0evvVgClfTeRVIgvDuUjubgRcwd44t5RfjfI1pKD8dp/MhEX7orXZoUapVzSlQAKIV1dmbQBdwSMgyP3xhs4tVaDZqUEUpUMEpWMEqUKOQL4CFzhbeMKLwKYCFzoq7dFmnT0EJgTQOnsQSOqLTsvlmN3SiUFMghoMTbcBXERrgj3uE4erdfDamAhAqIQADjMw7ZH3U73JgCFuJx35BUw67Mhm7YBWpvrB1RO1jZwzr4P5eBnUeA5j6bzkPV9b0G0ThCFhEVzzn8CotjTnlH5Y46AfmklBHkap1BoPQdB7TUYWo6dgTvhenECoNhw1eBo5GAoxYBKAoZSAijJT3HLTwKasgRQ9plPKxbUSnA6px5ncmpxuVREgRKSKjqmjyvGhjtDwDUsstPowffyipYAUFpdQvhRPj2QjxAPIVbO6tMrSNwttZxECe9/p4vxv1PFNALwifGBaGqSwN5OgE2J5fjheCEeHReIhdbUJ0stwQ3t6gOgHH75IPL25sB9gCe8BnrBg/wc5AWuVXnKpDUyBUAh3F2s4uOQzfgRWhuPa+NgNhWCv/sBKKOXQhn7oEnj06cyQ1oL3qHnwRBV0CgYjWuUPtV6bZmeFoHy4BMvwdXNGQG+LXxwSRdTwOfzMXLYQCy9+06z+NlKImuCG00BUMjDzDnzLpj1eVANfALK8DuMHsmvZ0rwY0IWuG6Z0LpkQaqRYIr3MMwNiEOsc6jR7Zqz4i85u/F95g7EeQ7AeK+BGOYeDTsTmLGtAErnq0Nusb48nI/KJjkFUUi++a6UKny0L4emPTwU175Shz5r3lUAytnqy3j53Gd4NmohFgRN1Gdot32ZrgJQ2jqSqJPoo6hzuzu/twEo10CUxrxrLP6czC3gnPuQ8p0Q3hNiJXUyPPdHKgJdhHjnrki9IzKoWoBSTIELhkICqMRXf14FN+RNYFZdAqvyAu2HkPipPQZC4z0EarfYjkOpVVKw6rJa5JkbcsEkr5p0vbZXoiIU8aqBOKoYiEopm6aIjg53wbAQZ4y03t7r5cObC1kSQCF9kejJdbuzkVbSjKcmBWFGX91k9UZNpAdXIhwxb+3Iwtm8BqyYHYZJkS1cDW1JZIlc+5p/Mml6I0lztJplPaALQMn8OwM77t2O4a+MhEKsQPm5MpQnltFBOQQ6wGOAFwVTPPp7wnOgJ3hWHhu9F8xYAIWT/js4l76HjHCAOfe5pT8iH0yiUxRj34HKf5ze4zG0IDnf8Q4+B0AL+eTPjL4YN7Rfa/nrHti+cz+aRS3iJMROnDoLG6EQ48aMxLzZU83iKiuAYoIbjQVQOBe/BSftZ6j94qAY9gplWE4ubkKdSIFoH3u9FVUuFjXi7UPnUMNPhtohBy5cB8wPGkf5TUjKQk+zI+WJ2F5wHBfrsujQoh2DMMKjL0a490V4B9KbrXMg6UC5TaUollShuLkCmQ1FlFjT08YFnkJnePCd4SFwhYfACa48h5429W4bz/7L1fj+eAG50KeRBC9NC8XMWNO+oHYFgJJSl4MXz36Cu4On4OE+c7rNfz2t4+4AUHqaD7prPL0RQCG+4h1+CUSNQOU/HuQLpmL06lvysIkMPeGfCXITYv2CaHBYN7PfmOZ1AqIwy86DVZkEZnUabUztMQAaEpniEARGXXYLUFKXBcIFRozIJ5MIFvISCYPAsXcHW2AHLeHs4ggpqTo5eCbk1tNIk7O59ZAo1AizFWEMTmO0UzVCh8+GKqh3puuZ5nHz1bY0gNI60l2XKvHV0QLE+thRIMXPSbcMuvlm2X0t5dVIKN+JSq3F+oVRCHG7HuF3swoPkYp/dVM6Qt2FePvOyB4bRUVUAvdcqkC1SI5hwc6UV4sofvUm6wxAqcusxf9G/YRR/43DkGeHXpuWRqlBVUolKpLKUXa+FOWJ5ajLalGgGvLsMMStHQcmh9mb3NAtYzUGQCGKpdzjK6nijtpnVIfj5lz+FZxLP0I2/VtonMLMPj9mUzF4ex6GVuAM+ZQvrAo6ZvewcQ1aU3iM85vFahkKoLAqEsE9s45qfCtGvEofco0WNGTz1zPF9JBLzNWOixgfe/T1tUe0jx1C3IU3pFqQ8PrVRw4hVXoWWttyRNuHYmHoeEzwGmyxuZqzYQKGJNZcwfnqy0ioSkO5tJamZ4z26Ifh7jFw5jngcn0eiJpPoagCRaIK1CtakETCgxFq7wOWlg3CcElkfEVKKSqkdTfwXpC0DXeBEzwpsOICD6ELvIQucOU7wFvgdtukdOizLnKVBn8klCLSxw7Dghz1qdJpGUsDKJmNhXj6zAeY5jsCL8VY2crbLoYVQDF5+xrdQG8FUMiECYhCpIk7u3kj6X/P/daSzhPibkO5bwjZty3PsIMPOeSlljThcmkz/eyaEuMOzzYh7ST1hlmVDGZ5IlgVF8BsLqIgido5AlrHIGgdQ6B2Dr8hQqUtBwqRHT6VXYdTObU0aoHFZGCAvz1GhLpgVJgzXGw4YEiqwUn5Eezsf+jtn6r/Iy2E7FYz2ANdBaCQgVU1K/DG9gxklIsxLNgRj4wLRLCr+UnuDXaChSqQFKb39uQg1MMGb98ZdQuZe3syxgSceGVTGlU2/GBRNFxtewYROvmecSKrDrsvlSOluBl+zgKI5CrUi5XUe4TDamiQE4YEOyHau+cT4nYEoChFCvwy6ie4Rrlh3h8t6YKdGSl/6YdkHF1+GO6xHpj9y1w49zFOlrYxrwFnPz6DgY8Phmt09ynK6JqzqX83FEAhoDz/4NNQDnwKyogFOrvnnvwvWFWXWtJ8DJAIZlUmgyEup58vkFSBKakBQ1oDhriK/mw1tVtfKCZ+aJByqs5BWwuY5AErgGKS+8xfWV8AhSGrB+f8p5Qkljzcqv6PQcsR0tDVNf9cQWpxM56ZFExv/5qlSvrFM7NShMxyEWRKDXgcJmK87RDlY4csVTJO1cUDXDGGOw3Ck/2mI7ADpQXzz9gyLRaJK3G2Kg0kZeNibRYUmpYPXAKCBNt5I8zen0q3Btl6we9qTmN7KTwytQLl0hpUyxpQJqlBlaQO5ZJaVMnrUCmpRaWs/toEbFgCeAgIuOIEd4EzpvgM6zHpTpbxsvlatSSAkicqxdOnPsQI9xisGmD5PFXzeaVrWrICKF3j5/Z66c0ACpkPszoVGre+nTqQfN5cKGrE+bx6nMuvp6pMhPNmYIAjVT2K8bG7IcWHRHykljYjtbgRaaVNyCwXgxykbrZoH1tMjvbAxCgX2HANA2RIW9lljTiUWYuzuY0gQI+DgI2Roc4YGeaMQQGOHXK3MERl4Fz6Aey8vfS2UTng0Q5vJxmSKjAkNWDSn9WAWgatjRc0tl7Q2vlAyzMdfO6+3Wt8z10JoJBRknuk41dq8FN8MVX6Igpfj4wNgJcDz/hJ9LCaSrUWXxzOw87kSkyOcsWyGWEUCLzZ2gNQSBmiUPbapssg3HfvL4pBsFv3gUyZFSLsSanE4fQakCd/QoQLZsR6IuoqSEKe1wsFjUgqbEByURPEchWNRhkc5IihwU4YGkTUGDk9bIWAjgCUrXdtRm1mLe4/8yA4BoBXNZersW3xFohKmjH2zfEY+JT+F56yOhni3zqBixuS4BjihIbcegx7eQRGLh8NtsDw99Me5+ybBmQIgMJsLqERH6qgyVAOfUm/qRGVnn2PA0wWZFO/Algdv7cw5A0gpOvszK1XJZGdoBW4QSt0vfpyh1bgCq0N+ekMrdD9X/tZoZ/zb59S1hQeE9ZSHwCF5G7zDr1AHy7FyOXQuLQQCZGUnTXbr9Avfm/Oj0SY+63EjOSLBPkCkVkhxunSTMRL9kAOCUY7xuG1kdNgz7k9Q1yvNBYgwMYTgk7kxozlQKmU1qFKVk+BlippPSoktVTauVRShY+HvWBWpSATtlaPrmopAKVMUo3HT61HjFMI3hn8RI/2QXcNzgqgdJfngd4OoBjjOZLacz6/gYIpyUWNFNDv72cPX2c+JWYlMqvEiOJXHy9bRHrZUcWkPp42EHBYVG3l6JVaHMuopp95xEaHOWNyjDvGhDnfMqSKJjlyq8RU7SmnUozcajHK6mW0XJCrACNDXShoYqhkNslJZyd/B3bhEfoZrHEOb7k5lNbRlCFCjqvT2HxobLyoNLTG1hsgP+18oPYa2vXSmDoHa74CXQ2gtI6cROceSq/GL6eKUNWkwLQYN9w/JoBGGJnbSFQHkVW2tKWVihCfVYPUkkYaZfP8lBDM6X+d6PLm/jsCUFrLvbEjk6awvb8wmoKbphrh00svbaLSyQ5CDhwErS82HARcOAjZ9G8kxY/I2RPghDyrBCyZ0c8TEyJcOyWiJmtKABeSfp6U34DLZc1QqDQ02m3uQE+MCHFGOziSqdMyqn57AMq5DxMokHF/wkNGRZGoyPvhskNI/v4i/McFYNZPc2HTCSm7WqHGha8ScXrdKQic+Ri/bhLC5oQj+59MHHxhP1hcFmZ8Oxt+JnDaGeUcC1fSF0AhPFy8vQ9Dax9IU3cMMYa4Evzd90PtNQyKMWtuqcqsuQz2lb/Bzt9Po1RUIbOgCp93AzGtIf1Zy95+HrACKCasqS4AhVmbQfXHSZ63fNw62pNaq8WPJ4rwx9lSjAx1wvJZYZ3eyJF0l2+ubMP2wuOU2+SJyPkQsrpHxtMEV5m9qrEASnsDIZErT59+H0XiKnw16hWE2rWwNlutfQ9YAkCplTfi0fh34W3jho+GPkdlia12qwesAEr37Yp/I4Bys7dJdMq53HqUNcgQRoESW0R6296g9NXRChEp4WNXanAsswaXippoatC4CBfK45BZ0YzcKim9nSZGIkwivOxo2wSQ8bVnw8NRCA7bNOUcwrPCTv0ZDLUSWp4DtETCm/50hJZnD7DbuZRQisFsKgFEZWCKysFoLgVTXE5TcYkRclz5hA9a2roNzZwACqsqBWo3g2l1AAAgAElEQVQDlfjUGi32plZRhZomqYqqyy0d4WsWTg3yfey3MyU0jZrPYWFYiBNGhTpjeIgThGZSaSLS8Ccza6k0PEln8Xbi0z6m9nXXmZ6kC0Ah2+3744X4/Wwpxke64vFxgXCzMzylh6TdEVlpEtFCnrlWI75vECvRJFNR37c18oxOjnHD7P6eRvPVkGi1xIIGbE8qp5LWHvZczB7ghZmxHvQ9oDvtZgCl+GQR/pr+O2Z8PxtRd0ebNLT8g3nY9cA/0KqBmT/MRsiMW8UeCEnt8VVHIamRUKLaIc8NA4t3/f1P0STHkVcPIfWXFET/JwYT35/c44lqWWUJIBwhBHjW2npCY+PdLvisF4CiloN/8BlApYBs2tftv3frWCUSlcnf9xiUAx6HMuZeQC0Hu+Ag2BmbqYIdAcfV4fMsSjhr0kayVu5WD1gBFBPc3xmAwqzLbAFP3GPplytitf+fC7pmewa9uXtyQhDuGuzVae+nq1LxQepGCFh8rBrwACIcAk0Y7e1V1ZwACvGMWCXFU6ffR7WsHhtGvXYtVej28pp5ZmNuAKVBIcLjp9fDji3E5yNe+lfx0xi6IlYAxVCPma+8FUAxny/rJSocTq/G8cxqFNbIEO5pgwgCyHgRwMTuFiL1thwo5huFaS2RCBbyJZt7+h2AyYZ84kfQOASZ1mgPrG0uAIVwDvD2P0EPI4SLxxjbmlSOjWeKIVNpsXiYD+4a5GU0kWqNSIG1OzKRXSmmwIOzDQdncutwIrOOkhETyWuSJhbXx8UgnhGpUo3zeQ04lV2L+Jx6SBVqyv9B1KDIpRlRu9LX9AFQSFskUuvTg3nIqhDjPyN8qdQxke3WZWSeG44WgBD4Dgt2wgtTQ+DeCQBDQNBGqRIimfpaio6uPvT9O4l223qhDPtSqkF8OCXajYIp3cWX0hZAEZWJ8NPQ7xA+LwJTv5iu75Q6LSeplmDnfdtRdKwQMUv7YtJHU2hKUMWFchx8dj/9GbkwGuPXTYSN560R6q2Nl54qwa6H/oFSosTEDybTOrpM3iBD2fkykLQigYuQqgbZ+zvAIcAyAgzM+ixwEr8A4YG82UhqpNbOm0b1EeJw8mqEPey5GjCJ0pu8AZA1gHH1BW1Lij9DWg+GSgrZjB8M4jG5uX927i76Hq72Ht5CcM7iQhU6G6qwOTTa0GpWD3TkASuAoufeaBaJoVap4Oh4/Q2mIwCFfKmi4IlTGOQTP6D5dQRlX/tPFvgcBt64I7LTEGRyG/9R6u+UE+T+8Fm4O3gy2AzTbt70nGavKWZuAIVMvEkpxqOn1kGmkuOb0cvhcZveKJq6yOYEUAhw9Wj8OjAZDHw9ahlsicKG1Tr0gBVA6b7NYQVQus/3PRFAafUGQ1pLSXpJZIpi/LtQe+rPbdB9HtW/Z3MAKMzmUvD2PAStvS8YDflXo3beN+rWmEQtbL1Qjj8TSsFgAEtH+NGoFEOUo05m1WLdnhz4/L+07Jp5Ebek75AUE1LmTE4dKpsUlGOERI0QHrommRpNEiUaJEoKJjQQQEGqgvYqhUllo5xGchBuj5FhBDRxhqutcWlH+gIorat5NKMGXx8roGkwBBQi/DEd2cH0Gnx9JA9cNhNPTwymqXU9wQh4QtKDtl0oR1GtFKHuNpg70AuTolz1AoXMNYdWAAVqLTaO+wVEYeeek/ffEAVijr7OfZSA468fhZ2PHU0LKjxSQKWPJ386DV5D9DvAq6QqxK89gfOfnkXgxCBM2zCTtkeMACuVFypalIGSylCZVI6G/IYOh05AFPuAFjDFIdARDgGO8B3uC4dgwzmgGKJycC5+Q/kfiaywYuhL0LjFtAAg8oaWaD5RGUg58ntrdB/5t5ZjBy3foSVCsPXFdwRItCCXRA060PcRwjliqkl2fAimqAS2o2ZbycZNdea/qL4VQNGx2BKpFO+8/zly8gpoSXdXV6xe8QJcnJ3QHoBC9b/3PgaNYyDkkz6l4MnP8cU0/JR8oK6cHd5p6OmWgqP45sp2KvH7cuxS+Ag7/gD8F+3TW6ZqCQCFdELAqydPv0fe3rFh1Ks9Ug66u9fdXADK+ZoMbMzZiwppLb4a+SpcSAi91Tr1gBVA6b4NYgVQus/3PRlAoV5RycA7vhKs8rNQjFwJVbB5bqm7z+PXezYVQGEoReDtfhBgsCCf8R0lYiQXTOTgI5/6OT0oGWMksmNTYhk2nSuDLY+F+0b7Y2qM2w2KhTe3Szh8PjmQi4Pp1Vg81AcPjPFvl7y1bT3C2XE6p44qP5XUyygHiD2fcIJwrvKE3Pi7ow2HXpARDiBTzVAAhfRH5vhHQgn+Ol+GMA8hXpoWekPUC0m/W783G+mlIiwY7I37Rvt1KTBhiE8IkLUtqZz6n6hTfrAwhvIvdYW1AihHXjyI9L8u4/6zD8He3zLfUYgs8ra7t0BaK0Hc2vGIva8fVZk01CovVmDPo7vQWNCAoCkhqM+pQ3VqFW2G7ySAa4wrPPp5wjXSDU4hTjf0IauXQVTWjObSZjSXNYFE3TSXNUP0/+ldAic+Hkp+TG/CWsJNwk75EZysbdDYeEA14AmDgAm9UngMdc7V8hqVBpXJFShLKEXJmRKUJZTQORJz7+eBsNnhCJ0ZRn+3pCW8dxrDl420ZBfWti3sASuAosPBG//aiiPHTmH9myvA5/Oxau178PbywLIXnrwFQKHgyb7HKWN/+ahP8E9KPXYml4OEPZIP6iXDfTt8TzxQdhZ/5x0BIdJ8NmYRpngPs/DS9+7mLQWgEK8QBZ8nT6+HA8cOX4x6CXbsjsMne7cXjRu9KQCKRC3D3uIz+LvgCCXxne47AveFzYQbuVmwmk4PWAEUnS6yWAErgGIx1+psuMcDKHQGWnCSvgYnfSOUUUugHPQUBeJ7u5kEoGjV4B18BszGIshm/njttpjcMPMPPAUtiwf5lC9MCsEnUrl/JJTSiAUi6ftQXABNu7nZ89lVYkrcr1Rp8N+5kYjx6flSusYAKK37jRAyf3UkH/FZdZjVzx33jgrA7pQK/BJfDKKKRZR//Jx6hxBBSZ0MyzZfRrNMjXfvjESMr3GgmyHPIgFQKnbnY8/DO7Fg5900ssPSJm+UgedgOkB0+t141GXWwT3WHW4x7lTyuDUixdA5EAWgb6K+Qr8H+mHcuxM7r66SgXPlL7BTN1KFG1W/h6AMv4OmOBpi5gRQZPVSlJ4pRemZEpSeK0HF+XIQMl8SYeMz0hd+owPgFOoEAqwUHi1A9o4s1GXVwt7PHsEzQhE+uw8CJpiPPoH0s23h38jbl4vY+/th6lczDHGNtWwP8oAVQNGxGE++sBIjhw/C0kUteu9Hj5/CNz/9hj9++hK1DWL6f65OtpQYibfvMeSwI/E/zkM4mtVIbzbIjciCwT7wcbr1TbFe0Ywt+UcpQWyjUoTpPiPwdPQC2HOsB3Zdz4glARTSd4m4iirCeApdKC+HoBOZM11jvd3+bgyAUiAqx+a8QzhQdg62bAEWhkzCLL9RZgWnVOVV0NTU6HQ3QygEJ8R8H4g6OzRjASuAYkZnGtiUFUAx0GFmLN47AJSWCbNz94B7+i2o/eIgH72m1yv0mAKgcBPWgZ1/ALKpX9MQ/rbGkNWDd/BZMBTNFETRmEjeTi6qfj1dDMKTEuZhQ4EUEvVLjJCsErLV0eHOeG1GmNkIYs24xdttyhQApbVBon718f5cNKVVwUWswCQ/RwTwmJDWSiGtkUBaJwU5JJPoB0mtFEJ3IeZuvAPusZa9gW8dX312HZz0SB8i0s0r/k7HlXIxVswMo6S5Nxvh9CBggTks+0whds74C4OfGYq4tePM0WSvbSP1l0vY//RePHDuYbi043f6vld0FJxzH4GkNCqjFkMV+wC0HONASnMBKCUni/HnjN+oNrprlFsLYDLKD35xAZ2qHzXk1CNz+xVk78xE+flycO14CJoajIh5EQifH2HSOm5b8DcKDucj7o1xlAR48sdT0f+xgSa1aa3cPR6wAig6/L7kwafxyP1LMD6uJdQqMzsXq9/+EN9+/h4UV0nJ7dTVSNz5JTaJRiBV6kXJyGb386Cye3ZtWLNbuyqWVOHvokM4VH4ePBYH071GYp7/WLjxbk8Wf0tsbYVSBQaTAQ7L9DDZjsaXLyrFS0mfIMTOD+/0f9KqDHPVUcT3TCYDbB2+V2s1OFOTgn+KTyClIRt97PwxP2ACRrv1Nyunjyr1MmQ79kF1IUXvrWaz4gVwBvXXu3xPKShXqsBiMsFm6SYI7CljNnQcyvMXwQ4LBqMN35ShbViivFyhpHuedRv73hJ+M0ebMoWSKvCQvd8bjFObAvv45VDbeKNpzHpoeD2DX8IY30kVSvDYbPqeb4gJsjfD5tKXaBr9LhSeI9qtylBJqJ/YTXloHPsRVA5hhnTRbtk6iRK/JZRi/+UahLkLodRoQXhJHhsbgEmRLia335UNSOUK8LgcyhFmil3+JQXHXjwIrj0PAhcB+K4CCJwF4JPfnQXgCK9ztJScKEJ5QimGrRiFwS8NN6XbTusS8Cb+9WPI2pwBngMPAZOCEDQjFAGTg8HpQKqaqAJ9fDAfx7LqsGiIF/4zyAtkvHl7clCwLxfiChGEHjaIuDsa0ffFUi4PQ01SJUb21kxc+jYJdj72uGPnIkObuC3Lb5v9F5QiBRYcWgoGq2U/MpRiCPJ3gZ+1GUxZDWT+kyCJeQQaoWngm0SmgIDPNSl+rzGvAZsnbUTw7DCMfms8uEaoU5E5kj2VvzsHubuyUXa6BD5xfpj6/Wy6Zw0xEnmyZ+l2lBwvwqxN8+E7xh852zJx4LHdmLt1AXxG+xnSnFFlhQLDFbqM6uhfUskKoHSy0FqtFosfeArPPP4gRg1vIYYrKCjGa2vexSfvrQGbI8TupDzsvlSOGrUdAp25mNXPE3Gh7acjJDdkYWfZCVxoyIAnzxmzvcdioscw8JjGEYz9S/Zot04zW1SEVWlfoa9DGFZGPtStY7FE53XKJtTJG1GnaEK9sgkSlQyhdn7oYxcILsOwsEsyPiK7nd6ch5zmYpysuYhSaRVGufTDTO8xiLQzYwisSgXN6XNQ7TkIFJeAERMJ9ozJYPTrq9NN6s3bod59ANy1KwB/q2S1Tod1UQFtUjJU23ZCm18EhrMTOCteBLw8u6h3azdWD5jXA2xJBdwTXgVDrUDV8HVQ2gWYt4Me3Bq/OgnuZ1egPvoJNAfN63SkDI0SrolvgFeXiuqhb0Pu3EIyaarViJT4M7ECJQ0yvDQpAG62/87DQ9bvl3Fm+TGM/2Y6/KcF63SrVqNF2oaLuPBeAlz7uWPcl1NhY+aUmUufnkfKF4kQetli0LIRNNOtcG8uSg4Xgsjz+owLgP+UIARMD4HA/UZieWWzAtt/uIScPbnwyKkDQ66Gz/gAelC29bdHfUYtrvyaioasOngM90b44mgEzQoDi9/xZZusTor87dnI35mNynNlYAvZ8J8ajGGr48B36x1pTjoX1sQCoqImbBn7KwYtH4l+9/rCLncrbIv3gqFRQew7Ec3Bd0Fpa3kQQJ9pkPXcOWMTbHxsMX3T/GuAjz51OysjLmnGgXt2UGLeyT/NglOUfhyVBDw5/OAulJ0owaSfZ9L93WoJq44jZ/MVzDuwmO5fSxrJlrCa+TxgBVB0+JJEoDx6/xKM6yAC5d7vEzHYpgSzxschJrD9L/sJtWn4Pns7iiWV6OcYhjl+cfQW3hjT1tXTw8W/3boiAqXVxwT4ev3iBkz2GornIu7ula4/VX0JibUZlCS3Tt6AWkUTBU06MxIxEuMYir5OoYh2CIE9p+WLzM0RKCkNOUiuy0RS3RVcaWohWyZ1BzhHYJbvaPNGVjWLINt7CPJ9h6EVS8CNGwHenOlg+fnovy5aLcTrPoUqJw/2H77Z4yIdOpvIbReBotVCmZAI6d//QFNWAd7UieDPnALxZ99AXVAE29dfBqtPqP5ra8GSFo1AkSugaWqGtlkEbVMzNM0igLyYDHAnjAG4/87DX+ty9rYIlNZxkxta+9OrwK7PQNOY96F0MQ84YMFtfkvThkagsBtz4XDkScgCZ0A84Dm9h2qb9CF4hQfQPOINKLxMj3xgSqvBL9gLhqQG0qil0AhMV+vQezJmKmhqBErq9xdplMeMX+chYLJhFxh16TXY99BOiEqbMeadCYhcavreJdEix146CEmlGEOXjUTs4wPBvEluuSWiJBv5+3IhKm6GW6w7jUzh2vKQvy8HpfHF4NpzYT/aH0cdeLAd7oPVC6JuifauuliJ9F9TkL31Cl2NsPkRiLonFu4DWqIjFE0K5GzPRPa2KzSKhUQoBE4NRujcPrQ/iVwBAZcDhonRP2baCj2imQtv7cT5LzPxzNpDsPUUQBYyj740PMMjfTqbkCkRKBqFGlum/wF5kxwLj9xjdORJR+NTy1Q48NgeFBzIw8RPpyJ8YWSna9M28mTGxnnwn3hj+rhWrcW2OX9BWi3BgsNLzT7etoOzRqCY9zGyAig6/HkzBwohlP325+scKKr419Ew4mGUKWWUfLRMXN3yU1KNcmnttdaneA/F4tCpCDUiz1crV0B64gwkew9BcSUHLmtfBW+wcQCMebdP97VmaQ6Um2d2uioVr57/AqM9+mH1gIfBZ/WeA82OopN4P3Uj+jmHIdDWC64CR7jxneDOd4IL354SuLYlypWqZEhtyMOl2myk1eUirSEPCo0S/jaeiHEKRrhtACRqKZLrs3GpLgtyjRIhdr4Y6NoHg1wjMMAlHEKW6URobddAVVQC0dbdkB47BQafD5uZk2EzZxqYDsaRyZFnqvrZFQCLBbeP3wSD1zvW87bhQNFo6Hta8x/boK6ugXDGZNgvmguG3dUbEpUKde99AfnZJDgtfw78qxGA3feOA+jDgSLZsR8NG34GgwAeHDYYbBYYHM7V36/+JP/P40IjkrSAJQQ4USg7nBrT2RH2d8+HcNbk7px+t/bdmzhQ2nMU79hrYJUlQD7hfag9h3SrLw3t3BAOFMJ/wN/zEDROoZBP+MDQrqjkKSftFyiHvQK1a9QtvCn6NMguPAJW9k6qiKSxI8A6C8zmIkpmSXkZBPrdGuvTl6XLmMKBQiRtT645jju3LDSaBFOtUFOJ3aQvzyNkeihmfDsbfCNUcJqKmnD45QPI2ZWNiIVRGP/uRNh66b4Nr7pUieydWfRFCFZDZ4VTlRS/0f40qiCnSozlf6eDz2Vh/V3Rt8hRk/UhEr8Zm9ORtjEFJfHFcIlwha23LZULJilN4XPDET43AiEzbgTqW1V4DE1ds/Se6I72WcXHwb78OxiVafhq7RTYBzrjrsPPWGwoRnOgaIHt/9mKkpNFuCf+AUoUaykj8tMn/nuMEsFO/GgKWNxbI5xaCWPJXrtj810Imtx+BBghuv152A9wDHbCoj1LKD2Bvnb2wzM4/U48mBwWeHZccGy54NlzKeBIQEGuLZfuc74jH6P/G6dvs9ZyenjACqDocFKrCs97b7Wo8Lz+xo0qPHecfom2QA6Mvjbu8BC6wFvoAh+hO7yFrvASutCDpzGmKiiCaOcBSI6eAsvBDjbTxkOr1qD5713w+PxtsHy8jWn2tqjT1QAKcVpafR6WnfsCPjZu+GDYM3AwkiBL1wKQfuIrLuFMVSpC7H3war97jU7z2lpwFB9f/hN3BIzFizFLdHXd4d/TG/KRVp+LS3U5aExLg8rZHqGB0RjqFoX+LuFmJT5WV1RBmV8IZX4RFHmF0IpEUGblgeniDLsFcyCcYh5CN3V1LaqfWQ5ORChc1iwz2jddWbHXAygEODl6Ck1/boWmth42M6fAbuGc68DJTc5s/H4jxFt3w/GpByGc2b0Agi4ARXEpDTXL36bjZDnoDsVlCgVgOtiDaW8Hpr0tGPb2YDnYgpAct5pWIoFo6x6I/tkLpo0Qdv+5C8KJY4BewgVirmejtwMoxA/cU2+CnbcX8nHvQu031lyusXg7egMoKhn4+58ANGrIpn9rNHkukT5lJ38LIoVKJI7VXoOhIS/PQdDY+7c7X2ZjHliZ28DOOwCGRg6V/3iow+ZC7dFy0cQqPgFO8ndgNuRC2Wc+VH0JkNLz+VCMBVAIeBK/9gTu2r4IfmPa95khG4cADzvu2QaS3jPj+9kdHgRvbpOonRC51vOfnIVDoCOmfDYNvmbmeqiXqPDqpsuoaJRj/cIoKiHdkTXkNyDlx2RKmBt+R0Sn8/i3AyisivNgFh0HqyYDzNoMqL2GQhW9BMXFvvht/C+Y9dNcRC6MMmQb6V3WWACFABqJn5/DksP3wHOgl979GVuw6Hghti3cQlV87th01w1KR63gScGhfMzfskDnM1OTXo3/jfoJ/R8egAnv6/6uQwiT9z62GxUXyjHwycEUIGlr5FklUTiKZjnkzQqoJEr6fmA183nACqDo8KVYLMFb732G/MIiWtLF2RlvrHwBri4uVMb49M+nET0yFCHDdOeW6rNsWpkc0uOnId5zmB4i+cMHwWb6RPD6xwBXQwnr138BRWY23L9494Yv2/q0f7uU6Q4AhfiuVFyFF899Co1Wi4+GPQc/G9PIskibMrUC52syEF+RjPjKZDQpJRCw+Ahz8EV+UzkFbNYNeRIuHYRJKtOzwIkKv2VpN+cfwWfpf2FJ8FQ8EdmiImWqqQqLUfXCKhrW6vDAEghnTrq2L41pW11aAXnKZQqUKAuKoMwrBKQy2hQnNAjsAF9wgwLADQ8BJ8Y09vP2xqfMykX1S6thu3AO7O9ZaMwUurROY14ROBIpuOSgLRCAKeQb9B5AUkQ0Eim0Uik0Ehk4QX60HYubWg3J4ZNo/nMb1I1NsJ05mYJh1yJOOhmAZPdBNHz5I2zvmg37B40HAU2dY2cACgH9qp56DcLJcXB4/H5Tu7qlPlkv0fa9FExhOtrBYekC8OMId4D+N1VmH1QXNng7ACj0Pe3cB+BkboVi9GqogqZ2oQeN70qRugkChgoMni3AEUBLVALZQmg5AoBjAy1HCC1bQAEiVm0GZNO/Nws4QUGRiotglCeCVXkRDEUTtDYeNIJH4zUIGtdosMrOgpW7hx7wNC6RUIXNgTpoErTs9pUMyU0658IGMMXlLREpfe+H1szpB8Z7+taaxgAo5Db63CdnsWDH3fAZbkBqq46BkwiQ/c/sQ+bfGej3YH9ELorutAbhiTjw9F56eBv9+hgMetpykVdylQbv7MrGyaxarJoTjvERpkcZ/dsAFIZSAlbpKTCLT4FVEg9C8Kx26wuN70io/cffAF4eev4AMv6+jMfSn6TRDeY2YwCUtF9TsfexXZj3+3yEzbtR8cvc42vbHiWrveMvCsrN/W0+/Me28Jtsmb+JShWTyJPQmfqRY5Nna8e92zHzxzmIurv950stV+PU2ycpKEmUsmb/PBeOoVZaB0uucUdtWwEUPb3e2NQMlUoFlzb8IwRA2Tp2Ixpz6mkrBPH0GOQJ78E+8BjgQfXX9TV1STmat+6C5NhpsFydYTttPISTx7V7wNAqlah+diWYjvZwfXvFv+42kvi0uwAU0nezSoyXz36GIlEVPhj2HKIdDZfEbVCIcKIyGacqLiGpJoOmwZD0mhFufTHCsy/6OoVQpZoqWT1eOvspmpUSvDvkSUQ63NiXaPMONP38J5xXvwz+0OtSaK2RJw/1mYP7Q2fquw07LUciBqqeXQ5maDBYbi6Q7zkEbkQoHJ99BOxAw265SEpO08a/IYs/S/cxJygAbAKUhAaAE+gPNiF37aJbdunReNS//yWcVz4P/qhhZvGVuRtRl5ahkfjr+Jn2mxbwweTzKJhCIhsYfC40Yim0BCwhL5ms3TQREv1gv+ROCOdY6DCnUkF84BhEm/6BulkE21lXI05sDJNqlyUkou7tT8AfMRjOrz2rc2+Q+crPXYT0bBI4/r4QTp1A95kp1hGAQqJEqp5bCZari8Xfj8m8xP/so58VLGdn2N+3sEekN5niV33q3i4ACgVRrqapKIYvgyqsc4LVm33DkFSD2ZhPb4O7wkg6DRmvPkZAC/mMb6FxMIxrQ5+2SRlmfTYFVJjl58GsugSGUkQjVFQh06AOnwuNg/6XWBRISf4ezOYSKMNJRMq9PRJIMRRAObb8CC79mIxFexbDc5BlbuAzNl3GwecO0JQaki7A4jLB5rFpCgOTy6I/W/7NhHMfF4x9cwIErl0A0gP48WQRNp4pwSPjArB4qGng0b8BQGFIqsAuOg5mcTxIxAkBE9U+I6HxGQG1z/AOZYiJGs+3MV8jZHoYpn09Q99HWO9yhgIorXLFo1fFYfiyFsXUrjSlWImd925H7t4cjFkzFqUJJQaDJ63jPbb8MJK+SsTifUvhPeLGPVx2rgy7H/gH4iox4taMo5EnJkkVdaWTbsO+rACKCYtKABRi9iwOShNKUZ5UhrKzpShPLIOsruXDxaO/B3yG+VL03caj/UODMrcANcvWghvdB3YL5oLbV/dNu7qqBlVPL4fNpDGwf/ReE2bRO6t2J4DS6rHXk77B8YoLeGPAI5jg3aLSpMvOVKdhR+EJxFdeomk5A136YLh7DEZ59ocHv30UmUSovH3pZxwrT8KqAQ9iinfLIV92Ngl1b3wAlo8X1KXlcH33dXD7RWNj7j58c2Ubno1aiAVBE3UNSa+/a8ViVD2/iqYRCN54FWw+H+yyctR/9DWNHLGdPwt2S+9q4XvoxAhw0vjrZshPnaPjtv/PnRCMHdntN+mNP/wGyY59cP1gDThhIXr5pCsKtQWa2AF+4MyfBa6LEziclnxbrayFfFTT2EQjOzRN5CWCRiprAVQEAjBIqggBWGyEYJJ/2wjA5PPBsLWB7EIKPZAzXZ3gcO+ilqgGM5hWoYBk7xE0/72DAjm2c6bCbsFsMAwETtoORZGagZrV71HQzuW/L4PBv/HmS11bB3lCEqRnEiG/kELnzgkLhLqsEuqaOvDHjoDtjPtlu/gAACAASURBVCl6vb+254J2ARSNhqbtEB6XrowIpEDKrgNo3rSTpv9wfL2vpwE5tqYFkdQgO7BIipCDnV7RPmZYeos0cTsBKMRBnPQ/wEn6HMpBT0IZtVSnz5gNOWCnbgS74EDLe/+0b6FxM53Us7OO2bm7wT39NmpHvA1u4FiwbiL7ZKjEgFJKpUyhlABcO2iM4HjTOfkOChCfaBxNI5huC6TI49ZC7TvG2OFYpJ4hAAoBT1J+uYS79y2hN9P/VjtwuRrv7cnGxChXLJsRBpaRUXq3O4BCorYoX5FrFAVN1D4jaBSXvpa9Iwvb796CxfuXwneMedV3DAFQGnLq8cuonyhHz6yf5+g7fIuUO/1uPE69dZJymMz78069I09uHsxfM35HZXIlHjj3MOx87ah89NGVR3Dpu4vwGeWLWT/Mhb2FFXss4qDbrFErgGLCgrYCKO1JQ5GwrrLEUpSdL0Pp6RLUZddhzKo4DHrmxjBGZV4Bal5ZS1N0nFc8R0kt9TVF6hXUvLYWTi8+DsHEfxc5UE8AUMg6bcjYht/y9uGRPnNxb2j7SLxIJcHuotPYWniUEgwPdonEHYFjEec5QN+lpuX+yDuArzK2YHHQFDwqGILqF1aBP2IInJY9hbr1n1PCzYRnJuIj6Sksi70Hs/1GG9R+R4XJYZgAfBqxBO6fvAkxgw02iwk+jwNotZDsPoTGX/4E084WTs8/Bm7srXmxhM+n6dfNkJ1JBMvbA/ZL7oJg3EidkQRmmYA+jWg0qP3veihy8uD+xXoaBdad1uKvvyE7cx6c8BDYLZlPI4wswYFCIoua/vcXTbHhhATC8bH72k0J08cfhJyXpNw0b9lJwR0bApzcNcsk4KRtvwRQqln+FphOjnB9eyU0dfU0yoTsK2V2HlgebjTtUTB8MAUTqWk0kCUkQbRjHxQp6TS6yXbWZAgmjjEofak9AKXp2/9BtP8oPD7rHk4q6u99h6Esq4SWAGcUQGshpqXktHLFNfcx7GwoGa3NHea/MdRnb5hS5nYDUIgv2Dk7wT3zLpTR90A58Il23UNC6tnpf4FVkUgJUdWRi8EsOwtmTRpks36xGCEqCeHnHV0GxciVqHYfD3sB/xYAxZT17Gl1W8Ei+aSPofbqOVGI+gIoh148gPQ/L+M/h++BS6Tp6Ss9bX0MHU9ycRNWbMlAhIcN3rkrCnwO09AmcFsDKCop+LvupcCJcsgLBvumtcK2BX+j+nIVHrr4GFg8/c8uujrUF0CR1krx6+ifYONpg8UH7gHTiHXWNRZD/044T0h0Vp879Qejbu6DSHn/OPg7SgQ7ZnUcDr6wHyqpGuPXT0Tfe2MNHZK1vIU8YAVQTHBsZwDKzc2SsMcjrxyCwEWIqV/NoLmphH+B3F5S8GTl80YdJokySdNPf8CN3Jz3ELlPE1yqd9WeAqCQAe8rTcC7yT9jss9QvMwcCra9PU1pyW0uxd/5h3Go7Dx4TC5m+I3E/MDx8BQYfzi/UJuJ9Se+wlt/1MPexw8e778BsNn0kHjh5Zdgl1+B8pX3IG6wmQ5JBFhYvZ4Surp/+g6YLk4QSeTXAZSrK6ZpbEbjt79QglDBuFFwePw+evtNgYBfNtFoGXK4tSPpIpN7KIGiVIbKZ5cDDCbcP3ubqv10ZurKamiqa6FlEaUVNhhE8pCsBfvq7xw2wGLfEinRWZskGq2ZAE3nLoAbGUZJQ3kDr39gWgJAaR2PqrgUJBKHpL7whvSHw8NLwdZTHppGROzcD9GW3dAqVbCZO60FOGlDiKr3w62jICH/JcCxuryKluT0CaGACX/YQJ2pZCQVqnn7PkiOnKR1heNGwXb2FJ31SNmbAZTW1K+eropGohUJmCI5Gg/xtj30ObS/bxF9TnuL3Y4ACvE9O/8AuPFrKLGpcujL15aDHOiJ6gVN1/EeAVXUoutpO+Tws/shStIqm/mj2ZeQWZ0G/sFn/o+98wBr6nr/+DebQNgbHIiCAxnuvfeu1lqt2/5ql53aoba1tnZqW9vaVm21rVZtrQNH3XsvFBVUwAUoexOyx/9/TkRRGTe5CQG553l4gnrGPe8JmPu57/v9QttyIrQR08BYRNbqV1K9Ewpv7ID4zCKo+3wHvU9k9S5ewWpVAZSi1CKaBVCUUojn9k2kJTNcM0UgOVeJd/6Jg4tUhIXPhsHdsfLs2EfjZiuAwi9KAa8kA7ziu+AVp4NXkga+PAM8+V0YJS7QRUyzuT6S+MTnID/nqqG/AwLLNUwUWQpaytN2RjurOrwwAShEC2Rtn9VQFakw6cgUSB4RUa3tPwdEVHZ1tz+oi1TwwMYYtGwoHL0fCMzX9v09CdfPARQWp0gAiuHyFfh0Z1aPrC5Q4eD7+3F51SW0HeWPpiWH4NA6wmJ4UnrpuQu+hTbuGnx+/hrE8rIutJoEUEi8z2ddwcXFC9E/VkVLEq83dsYfrQxwbN6MOuD0CbCOgBq5UU1/6wPkFWTi+8kN8XG31xHo5IOfrmzA5hv7sfSwG2R3c+H9wxdUp4RtK1i8DMrjZ2jmSanrU3kApXQdzeUryP/hNxgKiiBu1hjqmEsUuhBwQsSQa3qjYqCvzYEopBG8Pp9LL5dAIF1qGrR306FNvgP9nTTo7qQ99HSfyb6oVbJQBJ5YaCp1IqCFgBeRiL4adQZok27QEhUKTto8/iHelgCldA9ElLhg2Z80o4PALnJ2JNOIZKqQMhlSDqMjr7n5MOQXAjwj9HmFMOQV0FId2ajB4MmqtqhkErOK+hAxXOWx03Do3N4iK2siyqrcfwzF0TugT8uAiJRPPj2MZq9U1MoClFLxYZfxoyEba56OBZt9sx1LoF/h7+ugOnISouAguDz/HCStwtlOa/PxTypAIYEjWSaSA+/Q8hGDVzMIr20k3qsmQdSmo+9Z8T4cYp48DQ7bJkPfsAc0nT+wWvwJsJHsfAn6oF7QdHyfzltXAArZKxH4FZ7/Cep+P1CRWnu3ygBK8sHbiB63CW6N3KgDiEt9dhpP9t6rLdbPV2gx+98ryCvRYOGzLdHQk7kWi7UAiiDtJIRxa8Evug1i813ajDJ/GJwCYHQOMGWS8XjgKXMgTNpKf+Z1YRPp7wBrN2HKIYgPz4Fq2CrWJXDk2i4si6EPh6fFvAD3EMsfDpbdZ1UAhbz3Y1dcoFbUk45PpT8DT2JL2pIA4ubDJpvlSYxLTdkTB1BYnAQBKJrxL9APom6vTGWc9p7270noVv6EtHwXiJ+bglavtqOe9pY24txDyjl4AgG8vvukSh0KS9epSeNqEkAhWQOkhEZXkI+lfZxwR2bAS5ccUP9yGsQRzeEybhTEkVaoVyd6Cx98AW3CDbh8Nw+fZe3A+dxE+EndabbL1+1fQ0fXUOS+/yn0BUXw/vZTVsKZxWs2ovifaHgvnPdQdlNlAIW+R/R6yDdsQ8neQ3B+agikA3pRQFBbGgEI2bPmUQhALJRJ47u7QljPH8LAAKo3IWwQCApEGDajRgtjiQIGlZqKuhqIC06JAkalCkaFirriQMCH7KkhlWp0VAdAKd0S0akpWLnmfqYHjYOrM7WTFni4Q+DpRoVM+V7kz26QtGxmtVIdhmG1Sjeil0JsgtVnY2nGjfOzT0Ha++Hyt/Sz6dg2bQstY2gY5YpmebvBCw6G7+fvQyitPe/t0oARUFfw8+/0dwnR3HIlZVvB5othW+UAGEzyJAMUsn1B5nlIDsyC0cEduhbjoG08BBBWfrMnyIyBZM9r0HR8D7qQEQyiWHkXXkkmHHa+QDUR1D2/vN+5LgEUsmkinCuMWwP1gJ9gcGfmnsE6+BVMUB5AIfakx+YfwalFJ9DqpTbo9UUfKtzKtfIjQBx65m9JACnr+fzp5ohiCJrYAhR+fiJE55bQ8jsCR/X1u1JYYnDyh1EWUOFx8VR5EMavgzBxEyBxgbblJOhCR1rleIlorMPWCdBFTIW2xTirzAkjqP0uEQ0ef3CyVURNywMo+Ul5VOPn6j/xUBWq0fyZ5mj3Rgd4hLJ/UGidQHCz1LUIcACFxYkTgGK8FAfD6n/oU0wiwEjS3ivTT6BPLmcvgKRtFK7pWuH0N6fgFuyO/j8MRL2ulgsxUVHZV96DpG2kyaWikkayAzTXEqFLuWt6+n1PZJLaokodAEcHk9gk/XIw60axsnXl/0RT61Rpt/YQNWGumF/enDUCoBgM1Ja1eN0mWoblPvNVFDny4SY2PX0vKwBKswrGjYKknXm6J2X3TvUWtu2hmRHicFN95eobO/Fn4n8UnhBBWtqUKmTNnEfLery/+diim1panrDoZ3h8OPOxp/JVAhQWP1M1Zaj67AUYiksgDPSjLi4gPxc1oFUnQCndrjbhOtUcEfjUrNr6u8fvgCciDhAm54dSF4hSBwjiCCEyI22blvf8s8XkhEaypkYPg6h7Vxz7/ATOfX8GDfo3QmCkNwIurIdGYcDOU42gM/Co5oBfaz/4tw6ATys/+Eb61hqoQjR2CleuBbETl/boApcpz9ISn5rW2AIUIoKty8wGycDRZ+ZQ4WoCRWtSIzc3Rkfmzn3k2kVX10N0bjFUA5fB4G15JhFPWwzJjumAWAZV/yUPpfXXNYBC4xrzM4Q3tkE9cCkMLiZbUiZNka3Aya+Po/2bHeEc6MxkSKV9HgUoyhwlosdvROb5DAxePhShI6s2HGB9EU/ABEYAP+2/hejz6VRYtn9Y1b/jLAUo/OK7EMYug/D2PloKpm39qkWCz8RlSkgyoq6sA/gi6MLGQ9v8WVanIdn9MsATQE1+xq3Ycq/m4I8OK2i2BP35kYnhHOAMWYDs3qszXAJd4FTmz8RUg4itltdKAYq6QImrf19B3JrLyLiQTu+RIiZHoenIZrXm/1grhpmbqoZFgAMoLA7kvgaKi5Q6IhT9tRHQaiEbMxyy0cPAEz/8hFpzJRE5H34Bh/at4PHuazRlLy8xF7te3QFyMxD1Ymu0m9Eebo0t8/TWxMYhZ85ncP3feDiNGkp3Rp5sk6eMmsQb0NDX6zQV35xGtBg8PnrHolT50nWITSy5KSeCmAQiUbHHLu0h7dYRYgu0W+wNUMgNR97XS6BLSYXLCxPhNLhvhSGlFrREB+TYaQiDG8Jl7Ei6d3L+TJti72EUfLcU7u/OeEy7oEhbAhfRww5PpMQh6y3imuMEr68+NEuHQx1zEbnzvqb2xI79ez52iXUBoDA9l+ruZw+AUt17rGo94ni288XtIE+kmLT63Rug46zOCOrLzF6VlCXJo3dSWKku0SMxyxdB74yD//Bm0CxcAl1CEi2X1IsdqUg4cV1Lv/daklFCa7FL1fOZXF9N6FOycz+K/lgHY3GJ6ed+YO+acFn3r4EJQKHW1RcuU0Ciy8yisMQETXJArKbLNiJk7b1wfo2DKJYEXXzsEwjST0M1dBWMUguexupUcNg7A9CUQD1oGYzih0tB6iJAoTeBpxdSi1fVoOWVZgyQvkQ08tTCk7iwNAZahZZqkUw6NhUiJ/N0Nx49/7IAhfze2zJuI/398vS/z8CtiWWfEy15jz0pY7ZcyMD3e2/ixV5BGBLhA5mk4uxBcwEKT5UP4cXfIErcTDOXtK1epCKtrJteDdH1/yCMWwUYtNCFT4G22TNmTyuKXw3h5dVQjVhn2e8JBisW3CpASZoc8vRiyNPlKEoroq/0z2lylKTL6c9HaTMBFhcKWmQBzhQ6yvydodBqkfrfDdzYnkT/Lmx8OMInRz6xpToMQst1qYER4AAKi0N5VESW3LQWrloPxc799Amm6/Pj79uCEniSO+czOHRtD/eZrzx283z5z0s4Ov8QyAfwsPEt0fn9rhaBFPmGrShauQ6Szu2gS06lTxZJI6n34hZNIW4RCknzpuWWG5Hrpy4OhXLo6StxcihCyfa9MOp08Jj7Nh1vTiNz5nzwJXRpGfCc/y4dT25QlIeOQ3HkBIU7JGOHAAXHrh1N18UALNgToCi27qZPbYX1AuA+9y0I/Zk9NaQZKes2Q3X4BERhoVT4UhIZVmU2DrVvnb0AslFD4DLtOcbhJ5oU2TM/gsDXC56fzmFURkOyDXLe+4QCQOcJ5f8nzQEUxkdg9Y51GaCQmxTqNrEuntoDtmFQ+kg+rF1ccQHXtyfBN8oPHd7uiKajK1fH16l0OPrxYVz8+TQ69BagkXMqBdH80GDoY+Pg9c0nVOC3vFZ8pxhbntsEjVyDiUcm0ydxtaWRPRat2YiSTf/B7a2XapTYc1UAhQgg585fBEN2Dvg+3hD6+UDg7wORny8Efj70dzR5JVmV1FXsgy+og5P3N5+yejBQU86W2JGS/zdVg34z+5KI/gqxNFUNXgGj0+P2t3UVoJBAio9/CkHmBagGLi03O4j8fon56SzOfHsaBr2BimmGT47Aur5/UYjyzJaxrMqzSwHKue9O099JzZ5ugYG/DOaevpv9Ln8w4OztAiw9cBu3chTo28ILA8J90abh49lojAGKTglR/BqIrqyFwdEbusgXoAuq+IEai0uH8OZOiC4shVEkg6bbxxWWmF1IKUSJWo+u9zRJSi2LNd0XQNfQvnCcOMwUp5kAC/1KK77/55J00/fKPCWCBzRBxJRIBPVpVGGmCptYcmO5CLCNAAdQWESwIhceIjKZ/+OvIDbDBAjIhvRHwffLK4QnpZdg0BqowOyphcdRfLcYzce0QJc53cwGKXmfL6ailxSW3IMmAv/HPxgx3Tp5epf3xQ9Qx16G6/MT4PTUIEZDSRxIRgzEImo5Wl5qOBGkVO4/AsWRk9DdSqEfZh16dIbrpDGVOnjYA6AQAU1S1kKAhvOYEXAe/7RZttOlQaOlApt3QnXiDBVbJW41RLzSoU0kJG0iHto3AWBZr8+hOgWe895hBJfKHg5xLMl+cy5EIcHweHcGDNTq9J7NKQFkhUUwqFT3h8g374C0czt6A1VR4wAKo7e/TTrVVYASvyYOB9/fB7FMjP4/DmKcTVJ6CAU38nH6m5OIXxcHWaAzOrzVCS0nhj+mHUC0TrZP20KfKPdfPBCho5qZbJCJHsy/2+A0pB+cBzyelVX2sEma/e/tf4V3Sx96A0VVpWtRK4neicLlq6g9urSndazQ2W6/MoBCsvMKf1pJLd3d3n6RkQYY0Q3LnbMAerkCPt/MB8/ZtqLHbPdf1XgiPumwbSJ94q3p8mFV3e//OwUEKYegHrQcBrfG5Y6rywCFBERy6H3wCm7SGBklJrFK8lmNgNkTXx6DpkiDqOmt0fGdzpDeEynNS8jF6u5/IvSpUOqeYWnLSs3H4dd2487RVPRbPJD+zuKadSIQd1eO6PNpOJKYCy+ZGIMifDEo3Id+TxoTgCK4e4JCNvCF0EY+D12I7QXFSWmP6OSXECYfgDbqBWjDpz4UkCKVDlN/O498hQ4jWvnh1R5+kO2YDINXODRdP7JO8Gw8S1UisjZenpueiwCjCHAAhVGYyu9UlY2x6lQMCn9bDX1aJhwH9KKp0UyyK8hqsb9dwOmFJ0Bs6thkpLDY3mNDaXbLn//AoW0ruL83o1KbV1pO9Ok3tDzH84O3GNmZ6tMzqdUmuYnnO0rh8eHbFWZn2BqgELBDbFL1WVnQZefSm6iSHftoWZb7e69ZVHZU3llor9+E6tR5avNLxGhJE7VsBmn71pCEhdIyIZ7UEd7ffWqxFg0BNllvzbsviErWIPvgu8jojQOffLk4Q+Aio5BL9kzlgoQcQLHmT5V5c9U1gFJ4swA7X/kPqUdS0Om9Lug6r7t5AXukN4Eb5348g/PLYqjoHdEqaDW9NXhCPo7OP0y1TpqNaYF+3/WHg/vDIp6P2hhXdiGZFzKosF6n97tY1d6R1ebNGCz/dwuK/vgHHrPfgEPXDmaMtE3X8gCKUa1BweLlUJ08A9eXp9L/Y81qpVpRRqNJK8oGlttmXQ/LzvyceCoCq+n4bqU3csRph591Cby8RFpuoB6wFHqfB1bpj15GXQcoJB6S/TNBRHbVA3/Cpb+TceKzo/SzGQEnJFvYye/hEloyhjiErB+6Dr2/7os2M8x34cu6mImNz/wLvoCPpzc8Ay8Guh0s30J1cnihUoftFzOwLTYDOcUatGvkhsGRfmjqJYaXqxP4Feh0EEcdhy3joAsZBm2b16o9dsQCXXR6EYyuDaDpMg8Gl/pEzxUz18VRwdzS1tipGAu9/4b7qCUwCh9/n1b7hTNYkAMoDILEdbF7BDiAwuIIqgIopVMTy0giMGtuM+qNVDzp1FfHUZhSiBbPhqHzbMtKe8xdu6L+pBQp77NvaSq01/z3IAj0e6yrYttuFCxbBadh/eH6wkSAzzdreWIlm/PRVyCvbi9MgOOwAY+NZwNQyNNHAwEkefnQ5xFb1nxTrXxGJnQZ2dDfTb+/Ht/NhaaD8319IGpYD7KnBpulJ2LOxknJjfJ0DFSnzkFzMR7EuYUIHfos+Yp1rT4RGTbI5eA7O7O2N+YAijmnat2+dQWg6NV6nPzqOM58ewpEw4RknbiWk2ZtaXRJ6v2lFbE4s/gUNHIt+CIeTRMesGQwQoaXX6ZoDkAh15Ww4Sq2TorGyH9H05Kj2taK//oXxX9HU1Fye0OURwEKLdn59FtAraalocKgBhaFl2pFzZwHvkQM76/n1RixaIs2A9AUf/JEvCwUIen7gqxL4GdeAD/rInjqQgpMDL5tqA2ywb3ysty6DlBImUHh9SzgxA/YvcwZuRmOaDEuDF0/7AHXoMqFiONWX8aul/+jvwMaD2rC+Fjj18Zhx/+2oUH/YIxYNQIOLjVDxJzxBmppx+PX8xAdk46Y5EK4OgqxYGRzhFUgBizZ/zZINohq4HK77ZYIT4uPzadlZtq2r2NlflesPX0Hv02JQqC7A3KuHsb8XWm4iSDMHtr0fkmP3S6Y4cIcQGEYKK6bXSPAARQW4WcKUFgscX8oSWE//tkRaIo19EmEk68MPhE+NE3cJ9yXijBVVyPaKHlf/QDttSS4v/vaA5cWgwEFi5fRLBK316ezqqEvfbqoPHycfnh3f+tFCm1KGxOAQj5kKw8ehy4rG/q8ApCsEiKgSy1j7zUCSATEltXb01Qr70tq5e/V0Pv5Wpz1wfYsyP7V5y9C6OcLYSPLbg7YXkNF4zmAYqvIVj1vXQAo2ZezsHnMBlr60nthP5vDhyt/x+PO8RR0/6TnY1knZU/EXIBCxh6ae4AKS44/OAk+EZaXUVb9zrBND1LKU7J1Nzw+ePsxNy7brFj+rGUBCtHPIpknxInMY/brrDNHyP9nRCuK7+wEry/ME9yuzhgwXYu48giv74DBsxkEOXGATgW9bysYyJdfa+h9WzOdivarKwCFCPrnJeZRYf+cq9n0NTchD0SzgTTnQBnqB2Wi15A4yCYvZGxxfPiDgzj/yzlMODyZfl6rrBEXk/2z9uLSylj0WNALjSeHwcVZCoGZD6HMOmCu82MRuJuvwpL9N3AxVY5vxoahuf/Dn68pqDz1NVTDVsPgXM/uEST6K1dObcdLOa/ig/5+6BXVGDxFNhy2joe66WgsLx6AdafvYliUL2b0CYawgqwau2/k3gVwAKWmnAR3HZVFgAMoLN4f1QlQSi/z9r5byIzNQOalTORdy0V2XBb9J7GLBH6t/ODV0hu+EX5UI0D2yC99Flstd2jx2o0o/msDnIi46XOjkLvgO2iTbt0Xi7XGeoo9h1D480pqo+o5b9b9J42VARTixCDftB3qmEsQ1AuAuHEj8D3dIfT2oLCET4CJp3uNs2W1RryqYw4OoFRHlMtf40kFKCQd/sq6OJpxR574tnm5LTrN7gKhQ8UuCdV9CpYAFKPBSNP4c6/lYOqZFyD1ergsqLr3YMl6FKJs2w3Pj9+FpE2kJVNUOEZz6QrkW3ZBWM8fogaBEAQGQNQg4DEoQgEKH5Av+wPK/UfhMmkMZM9aT2+ACm6/ORd8Xy+q1/Wog55VN10Nk4lPfQWjozeFJgSesGlPKkBRF6hwY+cNJG5NwO19N6Et0UIgEcC9iQcVgPUM9YRnM094hHrCI8TT5KijU0Ky/y3w829BPfDnCnVjHoq3EYgevwlpJ+9g8qnnQexby2vEQCB67AYUJhdixLqnEdgxEI/aGLM5R26seRHILijB9wdSEZtSiB/GhyPY25FOQMEEKd1p9aJFbjjmXQWz3lT35Nez6CK+grku66Bt/yYEN3aCp1NDNdgkLB13pxgfb7kGN0cRFoxqDj9XCbPJ7dCLAyh2CDq3pNkR4ACK2SF7MMAeAOXRyyWp7tnxWci+nI3MSxkUqGRfyqaK8H0W9qOK8LZspNQk74vvqTCpsH4gPD95r1yxWDbXoLudYnJYyC+A60tTqMXmowDFqNXSbBP5pv9A3G6Ijojz6GFwaNeKse4Mm2usS2M5gGK/036SAIpWrkHC5gTErbmE1KMpCOwQiIiprdD06WYQObKz/7TFCVkCUMh1kCfYf3ZaCQcPKcYfmAS+iHlJI8nG8Q5n5vJliz2XzlmwZAUIzCYQ21oQpdSavdzrdnQCz8eXlohKGtaHzs8T2vWbgSI5POa+RbNPrN1IySjJRKH/j306m5FrmbWvoSbO9yQBFAJnr29NpNAk+eBtCkWC+gWj6YimCGgXCNdgk0hspU2nguTA2+Dn3YB6wBJGmSjkc9raPquh1+hpNtqj9sZpZ9KwafR6eDTxwMj1z9wHrRxAMZ0EsemGTg19fXYaWFUdbdl/JyKyLk5SfBR9DVfS5Ph5YgQti5HsexPQq6Ee8Is509msb6nuSb5Ci6WTIyG7+DN1BILQgVqbl82QKVbr8Pm2JFy8U4Q5Q0JqbEkPB1Bs9nbhJrZiBDiAwiKYNQGgVHT519Zfwd639sA3yhdDfx8BRx8TPbdFI7bExeuj4TrpWZvVkJOym/yvf6Jiq9IeXSCePokKzUpUKvp0tGT7HgpxSLmP8zPDIAop31HAFvuva3NyAMV+J17bAQrJyCDiinF/XUbSfRnMBQAAIABJREFUtgRqxxk2Phyt/tca7vcsF+0X3cpXthSgkFnzk/KwqtsfaDK4CYasHF7pQjnx2bjw23lc/fsKdQMSO0sQ0CEA9TrXp1/+7QLsYmNaClG8Pn0f4sgwi4+JgLPbH/wCp8RTiEv2wcVbJh0tR4kWro5qOEvVcHEkXyq4OGrgJNHQci6VkzeCln/KWg+qsgsnrmcEoohCGtGMGwgEFu/zSRlY2wEKyf5K2paIpK2JyDifDqmHlJYFhgxvSi1SSdaJ2Y1AlP1vmpWJosxVYnXX36mr4jNbx963ZiUlfgfe24fWr7RFzwW9H7I9rqsAhWiLCO6cAD/5IIQUnpicAvW+baDt+A4MLrYvay514dEbgdkbruB2jgK/dM1CwyvfQDlsDYwyf7PfNrYYsPbUXaw6kYoVU026J6QJMmPBU2ZBF9S/3CU3xaRjyf5bGNXGH11DPau8LGcHARp7V58ALQdQqjwSrkMNiAAHUFgcQk0GKGRbiiwFdkzfBvJ0g7hKNH/W8g+9LMJk1aHyDdtQtHIteD6eEIaGQHvslOnD96A+kI0eDqG//Z/WWnXDNXAyDqDY71BqK0Ah6fHnl57D+Z/P0RKdhr2CEPV8K5NNcC1pbAAK2WLKoWRaztPzyz5o+4grB8lSIcKRl/68COK+QTJwQkaEwq2RO4jgLbnxy7yQCU2xSY/Br40/6nWpT7N26nVtAMd76eW2DmXBd0uhPHwCHu/MgKRLe7OWIzeysT+dgdPZ7ajvXoA03y4Ifv9ZeDbzemwenUoHrVxLs3fUcjUyDlzA7jkX0IvE7nXz1jXrIgGQjMfsdz+FtGNruDw/AXxXZ3OneKL610SAospTQZFdgpKsEijIV7YCJZnk1fS9qtB0w00acfAiYq9NhoUidFhT1Ota/8H56PUo2XMI8o3bIO3SAc7jRlbqLvjQwd7PRLkO9YCfGGWiFFzPx59dfkfE077o944nNs1T4ebO6xj6x4hytZ6qE6Dw1AUgoqQwGmFwaUgzGKqz8YrvQph6GPzUoxBkXYRR5Ax9/a7QN+gBfUAH8ItTITq1EILsy9A2Hwdd1DSbusqUtTFW6wx4e80F5OZk4Ze+WrhHVg7BqytucXeL8fqay3hvSAgGmOnSdDtXgZ/33wbJXFFodFBq9FBqDCB7La85iPho4uuEZv4yhAW4IMTXCQFutnmPcAClut5B3DpsIsABFBbRq+kApXRr5IP5/pl7Ub9rfQz8ZUitrMMve0zECSh3wbcwGvRwHjoAshEDqR0v16onAhxAqZ44l7dKbQMoBJzE/HwWZ749DYNOj8j/tUKbl9vBpYGL/YJo4cpsAQpZ9uz3p3Fo9gGM3TWeuguRm7uLv8ciaUsCCDQI7FwP4ZMi0WxUM4hk4oev1AgqbJkek460s3eRGZOBrMuZIOUBTBrRxBq3ewLcmrgz6V5+H6MR+Qt/AhFyFYWFwm36pEqz/UjJQmL0NWobnXM2FX3ap8DNUQn3OTPh1JG5ngrRQEnbexv/TdqCwb8Ooy4otmza67dQ8ONv0CbdhGP/npCNGgJhA/uLRdpyzxXNXV0AheggUQCSpaAQpBSQEDCizFGYYAmBJhklD12qxM2BAkSiLeLoTb4efO/k4wS3YLdyxVtLdu6HfN0mGJQqKnhPwCAMBrj+byKkfboxCzWFKLPAz0uqspyHp8yB8Po23N12BH8uCIXMVQVHmR5Pf+kKl95PlQtgrAlQ+LlXwC9KoRoeKMkGuR6+wvRKLJofbUZHHxhcg2BwbQi4NITBLYiCFaO04owFnrYY0CjA05WYXvUq8NRFVDuGp1UAWrnp77UlgPbeK18AXtEd8AtvwujkC12DHjDU70azTcprwlu7IDr3I1EjgbbNq9AFD2J2Vmb2KgtQyFD9rjcxI6kPCsUB+HlSJNyk9tXnkqt1mPzreUQ1dMOHwyp30jJz6yhW6VBCgYoeCo0BWr0BxUot4u8WIyFTjmvpcqi1BjiKBdSlqKmfDC0CndExmMX/LWUukgMo5p4Y198eEeAACouo1xaAQrZInvoSW7zM2EwMWj7E5s4WLMLKaKg8MwcCRymkztWXVsjowupAJw6g2O+QawtAoRknv5yjNsE8Ho+mp7d5pS0krrZ5YlUdJ2INgEKuc/uUrbi6Ph5ujdxQcKuAOqi1nBCB8MmR9O/MbRkx6TRLpaoW+9sFJB+8hWd3PFelG0hVc6mOnUbRmo3QJadSdx6XKWMfAwzHFxzFhWUxIKULLYbUQ5TDOQighddnc8yGEaUuPAl/X8Gul/7DiHWjEGLlm4by9qyNT0Dxlp0g+xVHtYTzyMGQEF2tOtSsCVBilpxFbkLOPUhSghICSrIU9zOrSsNKYJ+jjwmGUCDiQ/5875X8nQ/5eyc4V2AxW9nxlAUnzqOHwmnEIFPWiVKFwlX/oGTLLoibh8BtxvMQNmpY9UlXAVGEyQcguL4dgrRTFD7oGg/F5csRSNh5FyM+EMMheQuI1bTBoyl0IcOhD+5/P7PCGgCFQA3R6W8gvLUHRokrjFJvKjBsdPSC0ckHBJSQV/DL6k4ZwStOA6/wNviFyeAVJYNffJfGwih0gpFAFaMe0JZQGMLTKe+X2VQaMKEDjAIJzW4xChxMryIpDD6toG/QncaASSMlPsLYXyG69i8M3i2h6TCrSjtuJvOW7VMWoIgSN0MY8xNyB67G69GZ0OmN+HFCOJztKHL+3r9XkFagwq9TokCyQ6qzGYxAcq4CCRkluJpWRIHKzWwF/F0lmN4ziLW2CgdQqvM0ubUsjQAHUCyNHIDaBFBKt3npj4s48O4+NBkcgn7f96+1NzRMbIxZHC03tJIIcADFfm+Pmg5QyoITUobS/o2OiJgWZRfNDmufkrUACskY+XvgX3Bp6IbwiRG0nIlXDbaSRr0R26dtxc1dNzB213PwbWXSHrG4GY1QnTyHojUboLuVQrWpXCaPgdLgiOixG1GYUoCwceGIGuYP1ZLF4Lu5wevzOeC7uZq9ZFkb4/M/ncPB2fsx8t/RCB5QPVpX+qwcyKN3QLH7EHV0k40cDMfe3exmc292AFkMsBZAIeArcUsiGnRvcB+AyHxl9yCJExx9TbDEwd0GTlU6nalU559oGJRqOD89+AE4eSQ2RIQ+/9ul97KPesBl6nPgu1RdxiXZMwP8vERazgO+EIKkbRDe2AGepohmU+hDn4IuqE+5J8EvuAHhtY0g2RUwGqAL6gt946HIcQhhZWNMoI342CcEe0Db8V3oGvRi8U4AyHVSoFKcCvD4gMABRlLqI5CYXun35O8egST3oAmrxcsZzC+8BdHpRRBkXoAuZAS0rV+CUexqyoDR6wC9BjBowTNoH3yv18Eg9YTRObDSyykFKAJFOqSbR0PTeQ6FXyQ745XVlyAR8vH9+JZwEld/Jso/Z9Lw+7EULJ0cgSBP2+kbmnNed/JU+OXgLZy8kY/m/k6Y0bfxY/bPTOfjAArTSHH97BkBDqCwiH5tBChkuyRVdueL22lNPkkTlziLTa8uEoidxRDLxKZXZwn93r+1f43TKuAACos3LsuhHEBhGUAWw2sqQCkt1SElKlJPR3Sc1ZmWWfCF1ftkjEVoqxxqLYBS5UK27GAEdrywDYlbEvBM9FgEdrFOWYr6+BkUkoyU2ym4meuDHK8oDPhzLARpt5A77yuIw5rB44O3wXOwzDqzLEAh4Tky7xDOfX8GY7aPe1jTwpaxI3MrVSjZdQDyrbtgUCjgNKgvnMcMf8x22daXUZ3zswYoRmDblC24tfcmBXc+Eb7Vd/ml4OTvzTCoNJWCk4cuymiEYt8RFK1YA6NOD5cJo+E0rH/losIkE+XguxBknKNTkWwPXeNh0DV9CkZZALM961Q0U0SYZMpK0TkFQt90OAyNh8LowLw8gmRoiM7+AOGN7RTGaNvPpNfzpDbh7b0QnfsBPGUu4y3qfVtDHzq8QqHVUoAi3fsKhULqvt/dnzu3RIvX/roEFwchFj8XXq0ZINcy5Hjtr8t4vV8jDItkCcEZR4t5R6LL8v3em7iRVYKuoR54qWeQ2VopHEBhHm+up/0iwAEUFrGvrQCldMt3j9+BIk9hEusrVkNdrIamSENF+7TFGqiLNVDlK2mdvmdzL3R+vwuaPdOCRcSsN5QDKNaLpbkzcQDF3IhZrz9TgJJ+Lg1OvjK41Led1giBJrf23KAOFxnnM2iWSad3OyN0ZO0RhjXnZJ4IgELv7EwQ5drGqxi9+Vk06MmgTKGKQBF3pWOfHEH6ql1o36YYEm0xxC2bQX3+EhyH9IPbq9PMCfVjfR8FKKTDzunbkbDpGsbtncA+m8aCq0tfvQuKNeshCfJHvaWfWTBD7RjCBqCUZj0ReDJ+/0T6OaI6W+Evf0Bx8DhzcPLIxRlLSlC4ch0UO/dDEOAH9zemV26hrVdDfHYxDH6toQvqx2qr/LwE6C+vh9PdA9Q2V9egJ/RNhkIf2LnSeQWZMRAfX0Btf01ZJz1ZXUetGaxTQZS0hWbwGEVOgEhqei1PDFengoA4/CTvhxEC6BoPoBlCBrcmDyBJYQl80/6D6OJvUI1YC6P04fduVrGGQpQStR7PdgjEU6394CyxPBuFQJmb2SVQqvX39UeIDonBSIyKH7SdlzLR1N8Z80cwK3eyx/mRK95/NRsrDicjR67F4AgfTO3WkLFuDAdQ7HFq3JrmRoADKOZGrEz/2g5QmG694EY+Ti08gfh1cXANckPHdzojbFzLh+z2mM5lrX4cQLFWJM2fhwMo5sfMWiOqAih3T9zB7hk7QRxPShvRC5D5O4PoCjgHOENGvvydqX4A+XILdmdcYkOA6vXt15G45Rq1I3YKkKHZyOZoNro5fCKr8cmytQJqxjxPDEAhezYCu2fsoHbSI9aMQpOhIWZE4uGuRORz66TNyE/Mw/BVI1Gvaz2oTpxB0dpNcOrfk5ZKsG3lARQCbbZM2EzfhxMPT4ZH06rtONleBxlfeLMAhz46iMRN11C/uQM6e5+DU7f28Jz7hjWmr3FzWApQCDzZMn4TUo6k2AWe6HPykDn1dbi9/TIce3VhFVcqKvz9cmhvJsPttf/BcWBvVvMxHUw0UFylRoiT90GYEA1+fiLVLyGlJEQvhYiu3m8EIMT8CKLXQbNOOsyk5SxcqyQCJOMn9RAESdshyDwPg0cz6EKGUR2agqw0+B96AeqO70FfgVBtZpEGa0+lYm98NjEvQr8wbzzbPvC+nXBVsSeON4cTcrEvPhvnbhfQ7kRXxVHMh1Rc+iqAY5nvZRIhxnUMhFRkgf12VRdk5X/X6o3YGJOGv07cAfH2ebZ9AMa0C6jy2jmAwvwg8hU6LD14E20beaBrE3dIxTX/fcF8dzW7JwdQWJxPXQEopSEi6venvjmBy79fpLXKHWZ1RvikCPCrWcCKXA8HUFi8cVkO5QAKywCyGF4RQCE3sQfe24dr66+g8eAmaDujvQlwGkGdK+RpchSlFdHX4rQilKTJqbA0cX4hjUAW92B3uDRwo0Kmro3uvQa5UX2OpOgEJG5LwJ3jqTSrpekoEzTxjap5KcQswlvp0CcKoNzb6b639yB2+XkMX/WURWWad46mInr8RviE+2LYn0/ZzOGtPIBCtmDQGbBx5HpkXszAxCNTqV2trRqxzj322RFc/O0CtZAe8MMgqtuxtfPX6FT/KlynjoXsmZphb2rNGFgCUMi5bJ2wmf6+GLdnQrVnnpD953/7CzRXk+D767dWC4di1wEULFkBpxED4fq/CQCPZ7W5y5voURFZfk48hElbaZkPyUrR+7WFPmQEjFJ3iI9/SrNONJ3eh75+d5te15M4OXEiEt74z6Rbo8yBgS+BwTscmj6LqtyuQqPH9ouZiD6fjoxCNTo1dseY9oGILCcDlGRnxKYUYvflLBxJyoPRaESXJh7o19IHbYNcIbDxe6rKzdigQ5FKhz+OpWBbbCa8ZCJ88UyLSrVbrAVQiF7NwWu56BbqCXdHy7ODbBASq0yZXqjGzL/jaJaSQm0AcWYi76XeLbzQsbF7laDKKhdRhyfhAAqLw69rAKU0VOQp9LkfzlJrSrGTCO3fuicUWY2K5BxAYfHGZTmUAygsA8hi+KMAhdyoEGeL458foxCk/+KBCOrbiPEKBLwQJ5ii5AIU3C5A4a17r7cLUHy3GOQpMmmuDV1paQ6BJn6t/RnP/yR1fBIBCjkfAlGIWw6xuCdAnFEzAie/Po6TXxxHp/e7oNN7XYirqM1aRQCFLEgg4PrBa1F0p4hCFCc/6zqzkfnJz9iphSfp3L2/6ovggQ/Ea1OPpuDs5CXo2CwVHh+/A4f2rW0WB3tMbC5AMWgN2PzsBqSfTcP4A5PgHuJR7Zetv5uGzOmz4PHRTDh0KN8O19KL0ly6gpz5CyEJbw6POW+CJ37EbtzSicsZV5ELD7EEFiTvh/DqeirsSn8OgvpD2+EtLuvECvEXZMZCe3UreB1eA0/KXHuGLH00KQ+bYtJwMaUIIb5OGNM+AH2ae4OIrO68nIl9V7KRXaxBmyBX9G/pi64hdedGNzlXidkbrqBAocU7g5qgV7PyS/rYAhSyzj9n7uDA1VxodAYI+Dz0aOqJsR0C0cTHuv8/WOHtZtEUN3MUmPV3HLxkEnw7LgwOIgFO3cjH7rgsnL6ZDz6Ph/bBbjTGnRp7VKtOj0UbqoWDOIDC4tDqKkApDZlWrkHsigs4890p+leTjk+zyFbQkiPgAIolUbPOGA6gWCeOlsxSFqCkHE7Gntd3QX63GB3f7Yx2b3aAwMrpm6RcgWgiVavwoyWBqYYxTypAIaE7NPsAiABw/+8HIvKFBza95He8IkcJZa7igVUygSdfHUfOlWxTyU63+jaPfmUAhSxONLzW9v0L2ZezKMzp8E4nEBcoNo2UCMWvjcOx+YepHliXOV2pHXd5wsj7394LwdGdCA3IgfeieRCFVI87EJv9MR1rDkAh8GTDyH+QdTHTbvCE7CtvwbfQZ+fC+3vbaNMQp56cuZ9D4O4GzwWzGbn0MI132X5MbIxJVgpPXVilNool69flMWVtjC2JA7nB3Xg2Dfuv5oCYrKm0BoT6OqFvmA96N/eChxO730+WXFNNGKPU6vHZtkScuJ6PkW388EqvRhRwlG2WABTyqOfE9Twa89jUIoQFyjCmXSC6hHgiNrUQm2PScfJ6Hpr5y/B02wB0D/V8bN2aEB8m10CEet9bfwVN/Zzw2ejmj2WaFP9/JsreuGxaWpaQIYdYyEe3EE/MHWZ5qS6T66prfTiAwuLE6zpAKQ0deUL3W8RSeLXwxujoZ1lElPlQDqAwj5W1e3IAxdoRZT4fASiaLCWOzjmIpC0JCHmqKfp83Q/O9aq22WS+CtezvAg8yQCF7PfE58dwfMFR+ntcVaCk5V6PNpKBIfVwhGcLL/T9pj8t5ayOVhVAIddAMiOPzj9CS5KkXlJ0ercL2sxoZ9HlEYH1XTN2IC8hF5HPR6Hbxz0h9azYXpf8H7iy7XJ0bnILng4F8FnyFQRe1Z95YdFmqxjEFKAQe+6NT69HdlwWnts70S6ZJ2QrxAkq65X34L3wY4jCbCe0aSgoRO5HX8FQWASvz+ZCUM/6mXlMAIotzpybE2ALUEpjSMpIDlzNQZuGbqjn4cCF9l4ENpxLx7JDtxFKIMDTLR4SmDUHoBAgs+NiFjadT0NmoRrdSKZJ+0A09ZM9Fmsi/LvlfDr+u5RJocJTrf0xPMoXRFemtjRiE/1x9DV0aOyOj4Y3hfAR+PToPlLylLRc7MytAvw6JbK2bLNWXCcHUFgcEwdQHgTv9v5b+HfY3xixdhRCn7Ldh5bSFTmAwuKNy3IoB1BYBrCc4UfnHaZCzUIHIfhiAYQSAc0m4ZNXEfmzEAIJHwYjkBOXTXVISLaANRxUrL+bJ3PGJx2gkFO7si6egggCIAgocfBwoK+OXlJqdW+vxgSglF4bAT8nPj+Ky6svwcnXCV3mdkfLCeFVip6nn01H/LrLuLo+HkTvpGGvIPRZ1I+xfkfmhQys6bESz4zMhVgC+PzwGXgOtf+GiQlAIfDk3xF/U/Hq8QcnUx0lezWSGUKa12dzbH4JRo0GeZ8vhiYuAV7z37U6sOEAis2PsMIFrAVQ7LeDmr/y1f/XYftg01Va/fnJyOZoEWCCHkwAilKjx29Hk7HrUjYtHyVOPyTjxNuZ2f9Tu+OzER2Tjts5CvRt4YUxHQJR371iSF4Tonnwag4WbE/E4HAfvD2wiS2rZmvCdmv8NXAAhcURcQDl4eAR0bjUYymYHveyzT9scwCFxRuX5VAOoLAMYJnhiiwFtkzYhDvHUtH2jfYQOz38nz8pI1AXqe/ZjGugLFChYc8gdH63citL610hN1NpBOoCQKmpp20OQLl/XqlFOPHZUVqGQ0SRu8/rYbLYLpMtTjSA4v66RN2ISLaJd0sftBgXhhZjW1LXKnMbsXKOX3Eaw3skQ1TPH14LZgN8vrnT1Kj+FQGUguv5VFiaZMKlnU2j2Uj2hifa+ARkv/MxfH7+CsKgBtUTR6MRhSvWoGTLLnjMegUOPaz3u5kDKNVzhOWtwgEU68XeKJdDefwsFAePge/kCI+5b93/vVig1OHj6KuIvyvHjD6NMKKVX7kAhTj6kFKcUzfycPpmAdLyVfBzlWBUmwAMifCx2H2GQJwN59JA4MS4DoGY2Ll+jdQLiT6fgR/23cSUrvUxqbPty2atd/pP7kwcQGFxthxAeTh45Gbw14ilCBvbEn0X92cR2aqHcgCl6hjZqgcHUKwT2dQjKdTmUywTY+T60fAO96ly4qpsjKucgOtgcQQ4gGJx6FgPtASglC5aeLsQxxccoSCFuEYR0VttiZaCk+SDt2n5W/MxYQifGMHaCpmIOq/q/Du8/XloLTwGx77d4fryFNb7t+cEZQEKybJJ3JKApK2JNNuEZCg1HtgEIcNCEdQvmLXuDNt9Zr8xFwJvT3h88DbbqcweTx16fvgVTiMHw2XsSPCczQdwjy7KARSzj8FqAziAwi6URpUKqlMxUB46AdWZ83QyUWhjWmIn7d8Tbq9Mu78AyawlLj1/nbyDns28ML2rP3zdnZEt11BhVAJNLqQUQq01UG2T9sEeaBvkhuYWQO6KdnUptRhf7UwEATWv9m5ERWdrSlt+KBl/n7lLs06GRlT9ObGmXPeTfh0cQGFxwhxAeTx4F1dcoMKWk45PtanFKQdQWLxxWQ7lAAq7ABJnG/Kk+tSiEwge0JhayDItj+AACrvYsxnNARQ20WM3lg1AKV254EY+jn16FNc2XIHYRYKmI5sibGw46nWtb1UHobzEXPzRfgWGzAuD84F1cHtpMhyH9GMXADuOvnXhLm6sjseN/5JQlFpEy3MaDwlB6LCm1SIgzHTr5GYt79Nv4Lt8EQSBAUyHWbVfqUMPlCoIAvwgbhEKScvmkISFWnRNHECx6vGYNRkHUMwKF+1s1OqgjrkIxeHjUJ+KgVGtodDEsUdnSHt2Ad/dlUIV8nPqMuVx23ei0/HJlgQ4S/iQiIVIyVXCUyaiLjIEmLQLdrOpNS+BJ+tO38Gak3cQFuiMWQObIMDNfmWYBCx9vSOJChF/NDyU2jFzreZEgAMoLM6CAyjlB29Nzz+pa8HUM/+rsu7c0vBzAMXSyLEfxwEUy2NIsrQ2j/kXmRcz0euLPmj1knkWmxxAsTz2bEdyAIVtBC0fbw2AUro6yUhxDXK1/GIYjDz7/Rkqyjvp53AoV6yE25svgi9zglGpglGphEGhhKFECYNKCaOCfKlgUCrh2Lk9pP172NQat9zLNwIEMBEB2MxLmfSVOBoVphQCRsAnyhehw5vSTBOvMG8GEajmLgYDMl+cBXGzJnCf+Uo1L/7wckaVGtprSVBfSYA67ho0CddBgArPRQZJi6YQhzWFuEUziEMaAcLKxSs5gGK/o+QACvPYEy2gwmWroDx8EkaFAsJGDeDYvROkvbpC4PO4VbFizyEULF4Gj9lvwKFbx4cWyizSYMneJEQ09ED7Rm5oWIl4N/MrNK9nRqEaX+xIxNU0Oca0DcDELvUhEVZvKSYpLfpseyLy5Bp8ProFouq7mLcJrrfNI8ABFBYh5gBK+cHLT8rDyja/outH3dFhVicWEa54KAdQbBJWRpNyAIVRmB7rZEnJzqOTcADFsthbYxQHUKwRRcvmsCZAsewKzBxlBNb2WQWBRIjB44Qo/nszeBIxvWHmiYTgkRtnsQg8AfmzCBAJ6L9rE29SeOLy3NOQDuhlGmOjlhmbgdhfz1NYknMlh5Y1ERFrz+Ze8An3gU+4L7wjfCBp7AJPHxcIqvkGwpxtE22Fgm+Xwvf3H2qe+5HBAO3N29DEJ0Idfw2a+Gsw5BdC4OsNr68+KvcGs3TvHEAx511g3b4cQGEez9x5X0GbeANOwwbAkUATf98qBxf9vhbyTf/Ba8EciCPDHurPRES2ygWs0GHf1Wz8vP8Wdex5tU8wuoVU7KxGRG0LlToUKrXwlEngJbPcpnrpwdtYfzaNwqMPhoeisbeTFXbDTWHtCHAAhUVEOYBScfBOfHaMlig8f+FFmzzt4wAKizcuy6EcQHkQwLSTdyFyFkEsk0DsLC7X6rRsyU7I0FAMWTGMcckOB1BYvlmtOJwDKFYMpplT1TqAAtByl5Wtl6PXl30Q+XwrRjs2lpRAvvE/FEfvpJDFecxwelPCFKQYi+VQnoqB6vwlyJ4aBHHTJuWue/6nc9j/zl5aZtuwdxB8I0ywxLPZ40+LmbjwMNqcDTtlTnsDknat4FZL9Gb0d9KR/+Ny6NOz4PXlh7Tcp7zGARQbvmmqmJoDKMxin79wCZQnY+Dz7XyzhZvzv14C1alz8P5mPoSNGt5fsKYAFHJBCo0eyw/fxtYLmWgT5Ip67lITKFFoUaQyAZMipQ4aneGhgI1o7YcJnerD04k5SLmdq8D86ATcyVfhOSJo26UH5izeAAAgAElEQVR+lTbFzE6J62WLCHAAhUVUOYBScfCImB7JQnHyc8K43RNYRLn8oRxAsXpIGU/IARRTqPbM2ImLK2PLjRsRV5Q4Sygo0Wv0IFlZ/RYPQNT01ozjXF5HLgOFVfhYDeYACqvwsRpcGwEK2fDlPy5SUDEtZjpcGjBPwSZp8PLonZBH7wL4gPOooXAaPqBcW2TN5atQnYuFOuYSzXQQeHmA5+QEfXoGPOa+DUm7qPuxV+YqsX3KFiQfuo2O73RG5zldwa8is6SmA5SSHXtRtHw1fP/4EXw325ZmsXoTPzKY6EPkzvsSuuQ78F70CQSBj0MUDqBYM+LmzWVNgKIlZVwCPvgOUvAcyZcDY4tz8j4hZX+k1M+gVAFqDYTBDRiPN2/X5vUuXPIbFPuOwPPzD6jej9lNrwexHdel3IH34s/uZ2PVJIBSuidSUrP6RCokIj5cpUK4SkWmL0ch3BzFEPAf2LtlFamx6kQqdQoaGO6NqV0bVmqvTLROiPbKn8dT0cBDitlDQ7isE7PfTNU/gAMoLGLOAZTKg5d2Jg1ED2XIyuFoMfbhFD0WYadDOYDCNoKWj+cACnDii2M4vfAkhq4cDodHanSp9XCBChq5ltoPa+QaBPVtZBVRZQ6gWP6+ZTuSAyhsI2j5+NoKUMiON45aD0W2Ai3GhFHRVZL1wbQRJ4uSbbtpVopRb4Bs1GBIu3YAEStVxVyEKjYeUKloCry0XRQkbSIhbFgfMBhQ8P1yenPj9sZ0OPbvCVJCuHXSZlqmM2LNKPi18Wd0GTUZoBDthcwpr9H9uUwZx2g/NamTUatF7odfQHsrBd5ffkS1I8o2awEUTWwc8n9aCYcObeDy7AirOATVpDja4lrYABR9bh7U5y5CeS4WmvOXKQApr/EcHcEnMEUqBd9JCqNAAKO8hGolEY0kkpFWURMRgeKIMDhEtYQ4ooUtQlDpnPJ/tqBo9Xp4fvIeJK0jLF6f/I7LmTUfBqUCPj98TuFvTQQo5m6QQJEjCTnUWSg5V4l+YV6Y2LkB/F0lD011N1+FT7cm4GaOAhM61cP4jvUegjHmrsv1r74IcACFRaw5gFJ18Pa+vovaHr5w+SXqfGCtxgEUa0XS/HnqOkC5vOoSdr30H0ZtfAaNB5WfIm9+VJmN4AAKszjZohcHUGwRVWZz1maAQmBq3OrLuLnnBm7vvwUHdynqd2+AoD6NENQzCG5N3KsMAnkKrfhvL4o3bjPpZ/j5UFjiQKBJRIsKn0YXr9uE4tX/Ii+gLXau1SB8UgT6LOpnVglhTQYo8g3bUPx3NPxW/QhyM1obG4Uo876GNuEGvL76AKImwfe3wRagkBv3wuWroNh9iFpqq68mQZ+XD9mwAXB+Zhi9WeVa+REwF6BQqHk2FqpzF2hWEWmCQH9IWodD4Oz8+CJGIxWONpYoaGYJFZM2GMBzcgRfaoIqAidHgP+4eCl5zxBxYpLZQn438MQiiJqFwKFVOMQRYRA3D7HpsRIwW/DtL3B/dwZ112HbSOlh1oz3wXd3g9fCj5FXooKHqwy8B0kdbJew6/gTN/Lx14lUJGbI0aeFFyZ1boBAdwdEn8/AssO30dBDiveHhiDIs3b+DrNrcO24OAdQWASfAyhVB08r12B5y1/QeFAIBv4yuOoBDHtwAIVhoGzQrS4DlOv/JSH62Y0Y/Nswq2dVMTkqDqAwiZJt+nAAxTZxZTJrbQYoZfenVWiRejQFN3ffwK19N1FwPR/O9ZzRsGcQzVJrMjikUrhBMi4M2TmMLXELkwtxespPCHOIg75FKzRYOLPcG7LKzqCmAhTy5DpjwqtwHj0MsrFPMXkb1dw+Oh1yP/0GpByLlkM0M4F5NgBFfS4W+YuXgcfnw/2dVyEOb0Ezk5SHTqDor39hKCyGbORgmtVUW+GTLQ+UCUBRnY6BYvdBqC7GU6clvocbJJEtIYkMg0ObSPA9q4ajbPeguZoE7VWT4xMRKTYWlwBSB0i7tIf7y1Pp99ZsqjPnkTd/EVxfnQanwX2tNrU+PRNZb86FpEUzGF+bDg93l2oDKMRamfw+sQYMqiwgxKZ57alUXEotho+LGFlFGvyvR0Oqd8K12hcBDqCwODMOoDALXmJ0ArY8twnjD01GQPsAZoOq6JV3pxA8IR/ufuWQfauswE1SUQTqKkC5e+IO/hm8Fu1ndkTXD7vb5Q3CARS7hJ0uygEU+8X+SQEoj0aQWCrf3HWdAhUCVoxGI5qObIbIaa0Q2Lkeq4AnbLyKnS/vgH9bfwx6JxQl3/9Ab6I9PnzbLJvkmgpQSPlAyba98PvrJ7P2wyqothys1yP3k0XQXLwCz/nvQBzZ0iKAQso+Cpb+CeX+o3Ac2Buu0yc+nqGk14NYyZIMJYNSDefRQyAbPsjqN9u2DJet564MoOgzslCwZAU0cdcgbhsJaWQYJK3CIahnnc+3bPZG9ETU8Qko2bYHRqUCHnPfeiiric3cmiuJyHn/U8hGDYHLlLFspip3rPbGbeTM/Ai8zh3g+86rNgcoJFYFP62A5vI1mo3l9+cP1QITr6TJseV8GiZ0qY/67lKrx5GbsHoiwAEUFnHmAArz4G1+ZgNyE3Mx9cz/IJAImA+811OVr0Tq0VSkHElGyuFk5FzJpjXc4/dPAl9Uvf7sZl/8EzagLgIUIgL7Z5ffETI0hGr62KtxAMVekecAiv0iDzypAKVsTEm25tV/r+LSHxeQfjYdHk09ETk1Ci0nhtOyn6qaTqlD2um7uHMyFbf33sTdU3fR95v+aPVyGzpUm3QDOXO/hNDfB15fzGV8o1ATAYp8/RZqDe06ZRwchw+oKjS159/1euR9/j3IU37PebOgCAmBi7MUgnLKOMrbFM06+fYXmmXk8d5rpqyTKlpJ9E4U/7OZlo84PzOC6skYi+TQ5+eDaHnoc/OhzzG9Gsif8/JhKCiCuE0knIf2hziqZVVL1Mp/Lw+gkNIZ+b9bQd5/4rBmVF9I4PO4c1VN2DC51sKff4di/1G4ThkLp1FDWF2W7lYysmZ+DGnX9nB/+2VWc1U2WB1zkZa0EZt3otnj2KMTHNpGUQt4azVDUTGKfl9Hs4dETRrB+bmnUbB4GaR9u8P1f9Y3vbDWdXPz1KwIcACFxXlwAIV58ORpcvwWtQyN+gXDO8ybQg8nXxmcA5whCzC9StwepBqqC1VIPZZKn8olH7yN7MtZdDG3xu4I7BgIB18nxHx7GlEvtka/756gD1DMQ2q3nnUNoMiJ+nrX3+ER6okx28eBJ7BfYS4HUOz2tucyUOwX+joBUMqGN/daDnX4il97Gao8FZqObo6oaa3QoOcDq0/6UOFYKkhm3J3jqUg/l0anIOClXud6aPd6B/p92UbS5HNmLwBEInh98QF17Kmq1SSAoku9i7yvfoQ+LQMuk5+F0/CBsPlj6qoCZO1/NxiQ99liqM7EQPLWK3Dr2alKgEI0JAp++QPKQ8fh2K8HXF+aTDU0mDajSo2SLTtRvGEb1eQobeT9wfdwh8DTA3xPNwhcHjhJaW6nQH3iLLVglg3pB8f+PZ4oTZVHAYr6/CUU/PgrjBot3F6aAoduHZmG1679VCfPIm/Rz5A0C4H7e6+B72J+1rYuPQvZb86BuHkoPD+aZXYZoLkByL11B5LYS1AdPQnNtesU9jp0bgvHnl0gIcCOIVB8bF2dDiVbd6No7SbwHMRwnfocpL270t8hBKaQrCLfZYsqtBU3dx9c/yc7AhxAYXG+HEAxL3g3d93AjR1JIDekpq9i+lraRI4iOPnLIJKKkB1nAiZ+rf0R2KUe6neuj3pdGkDqZfpQQDRQbm5Nwq5p2zBo2VD6lI5r1ROBugRQCMhb3f1PkPfmc/smQuQkqp4gV7AKB1DsF36uhMd+sa8LGSgVRffa+iu4vPoSFaAlVsj1uzWgGSp5ibkQSoU0E7Nep/oI6BBIwUnZBxHlzUm0L3LmfgZDfgG8v/6oSj2VGgFQDAYU/xON4nWb6U2c+8yXa+yTf2v9lOQv/AnKg8cgDm8OVMHsqWgpjwf3Wa+yc0QpKYEuPRMCDwJO3KrcChE0Vuw5gJJdB6m4sbR7RzgN6w9RSOMqx9b0DqUAxZidg8Jf/oDq7AU4Du4L12njzIJTNWGf+sxsmtVhKCqCx/tvmOXaQ7KNsl+fDYG3Jzy//Ag8kfUyQSqKTVkXHkNuPpRHTkJZClNcZJB26QDHnp0hbkl+Npg90CI6J4W/rYYhJx+yp4dC9sxw8BzKGFsYjch6bTaEPl7wIJCIa1wEqogAB1BYvEU4gMIieGWGEohSklEKVeRQF6mo1SP5QEhuXMtrpSKypz46jPNLYzDh8GSz7CGtc+U1cxbyZFKZo4QyTwVlrgLKXPK9AgHtAlnX1ZMd1xWAolPp8Hf/NSjJlGPyyefh4GFdMTZL3j0cQLEkatYZwwEU68TRklnqMkApjVfxnWJcXnUR2VeyUa9DPQR0CoR/Wws1F5Qq5Hz6Dc3kcHthIiRd2ld4LPYGKLrbKcj7agktI3F9cRJ1k6krLXvtZohUSvD0epCSDGh1MOrufWl1gFYLo1YHoa8XLT2wm6uO0Qj1hcso2XUAqpPnIApuCKeh/SHt0anW6tPk5hZAtGs/Sv7dAoG/H9zffrFWgyFa0rN8NXXzIvDAZdIYQPBIOb3BAO2NW9DEmURpNfHXQMpdiL2296KPqw0cVWRjrM/OheroKSiPnaKZKaKQYPCk9yAIXwC+qzP4Li4QuDrTbCm+iww8gQDFW3dSnRMiEusy7bkKM++Is1HOWx/C66uPTOCyFjZyXqZSu4J7pXd59NVQWASPD2fWwh3V3EvmAAqLs+EACovgsRxaClAchEKsG/AXCm8VYOq5/zGqFWe5dI0ZnnUpE0lbE5FyNBmKTAJKTLCkshY1vTV6ftabVSZFXQAoRr0RG0etR3pMGiYdmQrX4KqfxlXHG4MDKNUR5fLX4ACK/WLPARQbxJ5kdazdRLVEpD07w/3V58sVEbUXQCFgoHjNBsg3boNDp3Zwe2Ua+G4PSkhsEJEaNyUbFx57bYbcwCn2HqIwxahUwWPWq7VKJ4U4IWmuJaL48EngTjqcJzwN2Wj76Z5Z+xxLS3pEgf7UncmQV0Ddewgw0V5LAinnIpkZ1BY5qiXV0bG1LfKje6wIoJTtp8/KgfbmbZAMFR0BBKXQgGj25OWZ3IjuNVHTxnB7ZSojAJb/xffQ3k6Fz9KFjLNbrH1GTOej1tmxcdBcuQZ9Zg5IplHZJvD1At/LAwJPTwqNOH0XppFl1o8DKMziVG4vDqCwCB7LoWVtjEnGxR8dVsA1yA1jd463q0YFy21VOZxowiRtT0RSdAKKUovgHe6DRn2D4VLfBY5ejpCSL08ppJ6OVFumbItfE4f97+yF2EmEgUuHIKhPoyrXK69DXQAo+2ftxeU/L2LsrvE0Rb6mNA6g2O8kOIBiv9hzAMV2sdcm3kDelz9Qi1uPOW9CFPpw+YU9AAoRvCVZJ8RRhghWStq1sl0AavDMtRGg3A+nXk9LrohArWOf7jR7yBxdluo6FvJeU5Mb0ZhL0F5NhFGtMWlghDWH57iREPp5V9elVNs6tKTnk0XQ3Uqha/IkYoiah8IhMswETEKDrSraau7GmAAUJnMS7RajvJgROCmdj4CZrBfegutLU+A4qA+TZaqtz0Pv1SuJILb2wob1IGkTCWGgPwSeJr0iqllUx2BztR1CmYU4gMIi6hxAYRE8lkPLAhQyFXHlWdXld0Q93wq9F/VjOXvNGa5VaGnte9LWBNzYeR16jQFBvYIQPKgJGg9sAic/J7MuVpGlwO5Xd+D6f0lo/mwY+n3Xv8qa+UcXeJIBCrH+PDT3ALQlWgz78yk07B1kVnxt3ZkDKLaOcMXzcwDFfrHnAIptY0+eOhf+YnLscB47Es7Pjbov1FjdAKVoxVqadULcYFxfsGNZim1Dzmj2Wg1Q7u2QuLcQGGaQyxk7AzEKjoWdDAWFUB05BdXFOApOiGgu390VkqhwOLQOp698T3dUZmNs4dI1bljJzv0QN6wPUYvQGnVt1gIolm6KWKQr/tsH35WLGbuVWbpWZeP0d9OgvhAPZexlam9OgDLPRUYtsx3aRFF3Ig6U2CLyzObkAAqzOJXbiwMoLILHcuijAIVMl7DhKrZOisbQP4aj+ZgwlivYdziBJhd/j8XNHdfh0sAVwQMbI3hAYzTsZZ0beiJMuG/mHipO13dRfzQbU7XdYWlEnkSAQgQZd7+2E2kn76L1K23R9YNuEMnE9n0TlLM6B1DsdyQcQLFf7DmAUj2xV52OQf6inyEM8IfH3DepUGt1ARSib5D/xWJo0zLgMfNVSNpFVc+ma/AqTwJAoeHV6VC02lSORcHY9IngOVS/pphizyEU/roa4PEhjmgOaVQ4JK3CyhVSrgsApaa+9e0NUAhQznz+Daq35DL1uWoLExFiJlpCqvMXob4YT8uTIODTcipp20gqEC1qElzjS4uqLWB2XogDKCwOgAMoLILHcmh5AIVMeXD2fpz7/gwmn5oGnwhflqtU7/CSzBJc+j2Wlo5o5BpETmuF8CmRcGtkG/0NIjS7b9YeEJhCAM3An4cwymh5kgAKKf869ulRXFgaQy1CB/wwCG5N3Kv34M1YjQMoZgTLyl05gGLlgJoxHQdQzAgWy67kQ3ze1z9Ck3AD7q9Og6p9G7hIHSAQ8lnOXPFw9dkLNEtB1DgIHrNfB9/N1WZr1aaJnxiAci/o2us3TeViGi3V3yDlItXRSFlG/je/QHP9JtWBcGJQmsEBlOo4mfLXsDdAIVdFsvEKFi+D74rFNnP8MioUUMfGQxV7mb7q75is6AX+PpC0ioADgSZRLe0CG+13+rVnZQ6gsDgrDqCwCB7LoRUBFKPBiHX9/0JxahGFKA7uJttjWzWtXIOcq7nUUjL3Wg7yknIhdBDBJ8KH6pP4hPtWCiWIWCkpzSHg5OaeG9R5qPX0Ngh5qikE4kcU0m20CVLOQ8p6tAodBi8dgtBRzSpd6UkAKCTusb+ep/BELBOh91d9acxreuMAiv1OiAMo9os9B1CqP/Ylm/5D4W9/gd+hNbznzrQJQKHOIL+uhmLnfrhMHEPdQZjaklZ/RKp/xScNoJAIEt2GolXrURK9E04De8GFuAfZKhvFaETJ1t0o+vNvCIMbwuO916kdL5PGARQmUbJNn5oAUMjOsma8D6G/LzzmvmWVjRrlcqjjEqC9lQzi+KM+c8E0r4MDHKLCIIlsCYc2ERDUs9BdzSpXyU3CNAIcQGEaqXL6cQCFRfBYDq0IoJBpHxKV3TUePD4zn/iqLin5wG3kxGcjNyEHuUm5yEvIBdEUIY1okbg1dgdfYHpKp5VrkXE+nX4v9ZLCu6UPzYghX17NvajI68UVF3B5Nck20aLFuDC0ebktPJt5VXUZNvl3ErP9M/fiyt/x8GrhjX7fDUC9bvXLXau2A5Q7R1NpuU5RSiHavdkBHd/tDKGD0CZxtfakHECxdkSZz8cBFOaxsnZPDqBYO6LM5tOl3kU2EXNNy6A3u7KnBlvtaaw+PRO58xfBqFbRGxSams61hyLwJAKU0g2SG8j8L78H9AZ4vP+G1XU49HczaCaVLjkVLpPHwumpQWbBOQ6g2O+HsaYAlPu2xt9+CnGzJmYHhIjYahOSqNYOcTkqzTAhE5H5xASYtI6EOLzyh5ZmL8wNqJYIcACFRZg5gMIieCyHVgZQyNSlorKtX26Lnp/3tng1ebocF5bF0AwRVb4Kro3c4NnUEx6hnvBq7k1fPZt5QOx8z4u+zEoky4FkpmRfzkLW5Sxkx5HXTMjT5LQXARWtprdG2HMta4zeBtEA2fvWbhCLZKK50uvLPvBo+vATm5oEUNQFKqSfS6ewKiMmHapCVZVnnX4mDUF9G6H3wn5wbVi7UsU5gFLl8dqsAwdQbBbaKifmAEqVIbJZB6KB4pCQhJKN20AsXh06t4PzM8PMcrZ49OKU+4+g4KeV1F3H480Xy7VPttmGatHETzJAIcdAHG8KV66FYvseOA7pC9fnJ1BHGFbNYIB8wzZqgS1sWB8e779uctUxs3EAxcyAWbF7TQEoZEsFC5dAm3wX3j9+XiWAI+9n5dFTUJ2LhSb+mknDhJTk1AuAuGljSJo2gSgkGKKm5sMYK4aXm8pKEeAASplA6vV68Ph88HmPZywUy0ug1+ngVqY2lwMoVnoXWjBNVQCFTFkqKkvEQAkMCB0eisaDmjCCFSmHknF+6TnqViPzl/1fe/cBHlW1qGH4Ty80SUIUsGNDARHhqGABC9iOvaJ4FTtFBRQRVEBANKiggA0VFAWPiooVC1KULqJiF6WI0gIkQEiAlHvWDpNDKGFm1uw9bPLNfXgO1+xV5l2bycw/q+jYG49z9iRJrZUaRm/LF9m8bpNyF+c6S3z2yEeJ9MtbP2lq78nOUckN2zXSKX1aKjWz9LlHK0Axy6WWz1uuFd8s19JZS7XquxXKWZjj9MnM8KndtLaz4W5cUpziE+OdJVCx5u9JcYpLCPw93nkeftsfJ3CfEKBE718MAUr07AlQome/7SayhYuWaN3Yd1QwbbYSjjpM1S45X8knNd3tB4tA783mjGsHPyuz50mNDu2dTRp57Fpgbw9QAs98y0+/aY2ZjRIXq7R7Ooc9G8Xcn2YvncKl/6j6tZeq6uUXlp0mFep9RoASqljkrt+TApTiNTnOhrLO69VZp+30SZqTpjZ8NFH5k6bJ7GtiXhMT6x+uxMPrKdEcC5/i/YbJkRsNatqVAAHKVpn8gk26q/uDuvTCc9X6jP/9I9mYn6+HBw3Vgj8XOVdmZmSod88uSk+rKQKU6P3DCiZAMb1bt2Sdfh//qxZ89LuWTFnsdPiQ1ofqiAuP0mHnH14uEDEf0Oe/8r3mPvu1chasdWYpNG5/nC/2xnBrJGYPnqkZj0xXcWGRmt15gk68p7kKSooUHxer5KQEt5otV+/Sr/7Sp3dO0Oqfs53/XuPgGtrv+DqqfXxt1W5aR/sdX1vxKf5YgmMLRoBiKxh+eQKU8O1sSxKg2AqGX35np/CYTTk3vPGuNn4+1TnytdpF5yqlZQsVr9+gotVrVbR6TemfbPO/a1Uc+Puq1Yo/5ECl9+yiuLqhzwoI/1n4s2RlCVDM6JQUFCj3+dHaOOELpf67jWq0bxv0bJSCmXO1cfI0bfp2vuL22cfZiNjMPrF5EKDY6NmV3ZMCFPNM1r82Tnnvf6J9Rw1VTPLW2eb5BcqbPM3Zv2nLgoXOkpyUs1oqtWVzxaS4u/einS6lIyVAgPLfUOTpF17R1K9mOqbt211ZLkB59T9v64vJ0/Rov55KTk7WAw9lqU7tfdW9SwcClEjdhWHUE2yAsm3Vm9dv0p8T/tCCDxfojwkLZGaC1G2+vzMrZd3iXP34+o/ObIUG1zZS41uauHb6TRhPN6pFzDKZ6Y9Mc06qSU5LVrN7W6jBdQ2VkmI51TaIZ7V40iK9fdmbTkhyQteTVOeEOq5vDBxEt6J2CQFK1OhFgBI9ewKU6NlXdIxxcc46bRj/sfI++EwleXllnYytWUNx6WmKS6vpBCxx5k9aTcVlpCmpKccTBzualSlACZhsnv+T1jw6VDEJ8RXORjEn+uR9NrX0W/8NG5RwZD2ltm4V1Ak7wfgToASj5M41e1qAYp7l8mtuU2qb05Xc7DhtnDDRWaoTUyVVqaefoiptWoW1TMwdPWr1SoAAxaxxy12nzZs3q/v9A9T2iovKBSgduvRS8xOP17VXXuKMyaQp0/TcyNc0duRwrc4pfcOQUbOqV+NFO1sFwglQtsUz+5MsnfaXfv/wN2eZTpWMVB13a1MdeclRzhIQHjsKmGVHUx+c7CzvMfu3nP3Muc4MELceCz/9U29f/qb2b3GALh13RaWZZVKRJwGKW3fb7uslQNm9kVtXEKC4Jbv7eisKUAKlzdKcwiVLt4YlabuvlCuCEqiMAYqBKcnPV84zo5T/+VRn89fq11+lmMREmSO2N06coo2fTZXZ4NgEdSmtTlHVc1oprm5k34sQoAR1i7py0Z4YoBRMneEcwR2TmKCkk5qpylmnKalJI1eeP5X6Q4AAZZtxan97N1112QXlApS27Tvp5uvbqtWpzZ0rf/39D/Ue8LieH5qlzYWlhQlQvL/ZbQMU73u897S4cPoSfXXfF1o+Z5katGuoVgPPdGamRPLx2zu/aPw17zizgy4Zd3kkq/Z1XQQo0Rs+ApTo2ROgRM8+mAAler3bu1uurAFKYFTNXjlmz5yY1BTFZdbS5m9/cH6U1Lz0A2zyCce7dgMQoLhGu9uK98QAxXQ6f+KXSm7elCU6ux3BynHBXh2gfDJxslZlr9npSB5e71CdsN1U0u0DlJKSEl19Q0d1vq29WpzY1Kln0aK/1KPPQA3J6qP4hNJNNeO2Hl1bOW6ZPeNZFhcXOxvX7WzD3z2jh3tvLwL2C9/5TbP7faUtG7eoWa8Wqt+uoRSBE6P/ePtXTe70iQ4+r55aPXOOYuNLj4bmIRn7mJgY5w8PbwWKioud1xvsvXU3rWHvvXmgReyjaF9UrNi4GJn/q7SPjRu1eeQYFS9aovjTT1H8Kc2lqlVc5ygsKnb2euPhvUBhkdlnj5ngkZavWd3+EIxI98nP9e3VAcq4dz/SshUrdjo+DY+pr9NOPrHcz3Y1A+WW69uqZQUzULgpvf8nkF+wRbGxMUpKrBybh3ovvOsWNxZsUXxsjBIT41WYv0Wzn5ilr5+c5Rzp3Hr4Oco8dt+wu/vD6O/1acePnX1oTF2V+X3jzhA35m9WfHycEhN4cxH2TRZmQTPrLTEhQQkJvKkOkzDsYhvyNik5OYEPNGELhl9wXV6BqiYnOR/keXgrYGa9VU1Ndt7r8PBWIHdDvqqlpiiWl3tv4SWZGYfVq6aY70h5RFCAL/sjiClprw5QQqXaWYCy/R4oZgPRas8AABe2SURBVEPZ50exB0qotpG+niU8kRYNvr6dHWO8/u/1mtzzC/067mcd276xTu3XUkk1QlvW892Iec5pO8fefJxaP3l28B2qRFeyhCd6g80SnujZs4QnevYs4YmifW6eqldLURyf4j0fBJbweE5e1uCeuoQneiK0vCcKEKCY6cFFRSouLtGtd9yryy4+X2e1OkUJCaUzGwKn8GT1Lz2F5/6+nMKzJ9zIBCjRG4WdBSiB3iybs0yf3TVBuYtz1OS2ptr3uP1Uq34t1Th0nwo7PDNrur7sM0Un3dtCJ/c+NXpPbg9vmQAlegNEgBI9ewKU6NkToETRngAlavgEKFGjFwFK9OxpOXgBAhRJDw0crJ9+/b2c2qP9eumgA+oqL2+j+mc9pYWLlzg/T09LU99eXZSRns4xxsHfZxG/kgAl4qRBV1hRgBKo5IdX52vusDla+X3pErrEakmq1bCWajXM1L6N9lPGMbVU51+lu+Z/0f1z59rTs87U8Z2aBd2PynghAUr0Rp0AJXr2BCjRsydAiaI9AUrU8AlQokZPgBI9eloOQYAAJUis3HXrVVhYqPS0mmUlstducP7OKTxBIkbwMgKUCGKGWFUwAUqgysKCQq38bqVWzFum5d+YP8uV/dOqsharH1Bd6/5ap9bDznGW/vCoWIAAJXp3CAFK9OwJUKJnT4ASRXsClKjhE6BEjZ4AJXr0tByCAAFKCFjbX0qAYoFnWZQAxRLQongoAcrOminML9SK71Zo5bzlWjb3Hx3U6hAdc00Dix5VnqIEKNEbawKU6NkToETPngAlivYEKFHDJ0CJGj0BSvToaTkEAQKUELAIUCywIlyUACXCoCFUZxughNAUl24nQIASvVuCACV69gQo0bMnQImiPQFK1PAJUKJGT4ASPXpaDkGAACUELAIUC6wIFyVAiTBoCNURoISAFeFLCVAiDBpCdQQoIWBF+FIClAiDhlAdAUoIWBG+dC0BSoRFg6+OACV4q0hfySaykRalPjcECFAsVFnCY4FnWZQAxRLQojgBigWeZVECFEtAi+IEKBZ4lkUJUCwBLYoToFjgWRYlQLEEtChOgGKBZ1mUAMUSkOKeCBCgWDAToFjgWRYlQLEEtChOgGKBZ1mUAMUS0KI4AYoFnmVRAhRLQIviBCgWeJZFCVAsAS2KE6BY4FkWJUCxBKS4JwIEKBbMBCgWeJZFCVAsAS2KE6BY4FkWJUCxBLQoToBigWdZlADFEtCiOAGKBZ5lUQIUS0CL4gQoFniWRQlQLAEp7okAAYoFMwGKBZ5lUQIUS0CL4gQoFniWRQlQLAEtihOgWOBZFiVAsQS0KE6AYoFnWZQAxRLQojgBigWeZVECFEtAinsiQIBiwUyAYoFnWZQAxRLQojgBigWeZVECFEtAi+IEKBZ4lkUJUCwBLYoToFjgWRYlQLEEtChOgGKBZ1mUAMUSkOKeCBCgWDAToFjgWRYlQLEEtChOgGKBZ1mUAMUS0KI4AYoFnmVRAhRLQIviBCgWeJZFCVAsAS2KE6BY4FkWJUCxBKS4JwIEKJ4w0wgCCCCAAAIIIIAAAggggAACCPhZgADFz6NH3xFAAAEEEEAAAQQQQAABBBBAwBMBAhRPmGkEAQQQQAABBBBAAAEEEEAAAQT8LECAYjF66zfkqaiwUPvsU8OiFooGI1BSUqKi4mLFx8Xt9PLVa9YqNTVVKclJwVTHNUEKFBYVKXv1atWssY+SkhKxD9ItEpcVFRXJ3NfFJcXKzMhQbGxsuWqLS0qUnb1aaWk1d/nvIhL9oI4dBbCP3l2Bvfv2eXkbtT5vgzJr1VJsTExZg9i7b7+rFrB3137N2tL3kMlJO76H3Lxli3Jyc1UrPV0x2/x7cLdHlaP2wH1drVq1nb5/x75y3Ad+fJYEKGGM2sb8fD08aKgW/LnIKW0+3PTu2UXpaTXDqI0iwQh8MnGyxr4xXqOeG1zu8r+WLtNDjzwhE2aZR5NjG6hr51sUHx8fTLVcU4HAq/95Wx98/HnZFUcdcZju6niT9qlR3flv2Lt3+7z7/id6fdz4sgbMm7p7u3ZQ/SMPd/7b9FlzNey5kSouLnb+/7aXX6QLzmvtXocqac3PvfSqJk2drhFDs1StWlXsXb4Ppn41U0+/8MoOrbz83BAnwOW+d3cAjO/I0a+X/T4d0Pte1TvkIO57F9mXLP1H3e/vv0MLJjAf89Iw7F20N1XP+vpbvfb621qbm6OiomLnfje/a6tWqSLzxd3Lr72hCZ9PcXqRkBCve7t2VIP6R7rcq8pRvbEf9txL2rKl0HnCJ/2riTrffqMT2mJfOe4BPz9LApQwRs98sPxi8jQ92q+nkpOT9cBDWapTe19179IhjNooUpHAX38vU+/+j8mEVuZD5PYBSvcHByg1OcX5pbZyZbbu6zNQ/3fNZWpzRktgLQXe+/Az1a27n44+6gj9s2y5+jz8uM47+wxddemFTs3YWwJXUNwEhtWrVVfjhkersLBQ/QY9qZKiYg0a8IDyCzbpxg7ddOH5bXTphedq2ow5euaFV/TEwN7O6xCPyAh8+MkXGj32LaeyQICCfWRsd1XLlK9myoRWjzzUs9wlB9StrYJNm7nvXeSfNnOOhj47Uqe3bOH8/qxRvZqSkpKcb4W5792DN6/v/yxfWa6B9z78RN/N/0kjhg3C3j16mRm2197YWWef1VL/1/Zy5RcU6M57HlSr05qr7eUXa/6Pv2jAoKfUs1sn1T/qCL3wyljNmv2NXnr2iXIzs1zs4l5btZld27FrL51x2sm65qqLtWz5SvXq+6jaXX2ZzmtzOvZ77cjvPU+MACWMsezQpZean3i8rr3yEqf0pCnT9NzI1zR25HCm94XhWVER8wtuzZq1+nL6bL3/0WflApTcdet16x33quc9ndXomPpONU8+/YJWZa9R/we7R7gnVJc1+Gmtyl7tfIjH3tv7od+jQ1RSXKIH7+uiaTO/1tBnX9IrI55UYkKC05GbO92jNme21GUXnedtx/bS1uZ996MGPfmMbrzuKo0YNaYsQMHe3QE3AcoLL4/R6BFP7dAQ9u7Zm297b7+rpw44oI563d0Ze/eod1uzWT51c+fuZV8Ecd/vlizsC/LzC3TD7V3LPrSbigY+PlxxsTHOF6LPvDhaCxcuVlb/+502zHLmTt0eUN9e3XTk4fXCbpeC0tTps/T08y/ruacedcJa8zCzak2QYma+Yc9dsqcLEKCEMUJt23fSzde3VatTmzulf/39D/Ue8LieH5ql6luneYdRLUUqEJg4+SuNHjuuXICyaNFf6tFnoIY/0V/paWlO6Tff+UCTps7Q04MH4BlBAfMt2U0d79EJ/2qi229sJ+wjiFtBVRM+m6QZs79xZgCZN3SH1ztE7334qd7/+DPn28nA4/6HslS3bm1nbHjYCZgp9T0efFh3drhJmRlpuq/PI2UBCvZ2trsrbQIUM5vq2IbHKDEhXo0a1lerU1s4e/xgvzu98H++dm2ubu9ynw479GDnW/lNmzap0TFH6+orLnRmfmIfvm2oJUe99oYzq/DZJx9RHPd9qHwhX//sS69q8tTpOvXkE3V4vYP1ypi3dH/3O52AxHxxYd7Tm98FgcdV13dQ59vaq8WJTUNuiwL/E5g55xsNGf6C8z6mWtUqzg/Gjf9In06c4oQq2HO37OkCBCghjpD5pubqGzqWewENfJgcktVH+2VmhlgjlwcjsLMAJTC9ctvgyrzRe/u9j3dY6hNMG1yza4FBQ57RvO9/1FOD+iojPb1seiX27t41z496TT//8rtyc9er0603qEnjBjJLCKfPnFsuJDRvNlJSUnT3Hbe626G9vPac3HXq2qOvzj/7TF1y4TlauGhJuQAFe3dvgJ9+/V2Tv5zhfGhZsWKV5nzznbMu3nyAwd49+98W/KkH+z+mpk2OVdPGDbU+b6PGvvmumjRu6LymYO+e/bY1m41MzQznDjdd53ygNw/s3bWf++18DRk+QgfuX1d/LFysAw+sq1533+HMijDLlA856MByX0yYL1BvaHeFzmp1qrsd28trX7d+gzp27an9MmvpnLNO14a8PH306SSVlBQ7AQr2e/kNsBc8PQKUMAbRvIDecn1btWQGShh64RWpeAbKgLINfJmBEp5vRaVGjn5DZk8Os3zk6K2bmP5vBgr2kRffsUazF8enX0x1ljbwbbB74mZvKxNanXxSM8XExCpn3TrN/+FnndC0sc5tc4Z+/e0PZv+4x79DzR9MmKhXXx+nV18cqo8mTMTeJftAgPLM4IGqWbP0VEFjP+aNd/Tai0Od5bPMenMJf5tqzR40v/z2h4Y93q9sOTiv9+65B5Yid7/zdjU5rqGzMX7/rCGqW3s/5/1O6SyIarqzw41lnWAGSuTGw8z2HPvmO1q+YpUyMtK1ZMlSZaSnOUt4sI+cMzW5I0CAEobr9nugBN50swdKGJhBFtlZgBL45dfrnjvU8JijnJoGDxvhHP3KHihBwlZwmTlezkynN9OJe9/XpdyaX+ztfUOpwUwxNlONzYeZmXPmOXugmDDFnApgHu1v76Zz25zOHiihoO7kWhMMfjljVtlP1qzN1YzZc3Vmy1N0ZsuT9ffyFdhbGodSPDDN22wePnfefOxDwQvhWvNt8C2du+uBe+/SMfWPcEqO/+ATjX1rvMaMHK4Zs+ZiH4JnOJf+/c9ydev5kLrdcauaNTm2rIrAHii83oejWnGZwOuLWS4VOF3wjXfelzkFz5yA5OzDsXiJsh7q5VRk9oDrfDd7oER+JOQcFGHex5iN8S+/+Hzs3UCmzogKEKCEwRk4hSerf+kpPPf35RSeMBiDKmKWTBUWFmnilK/0+pvjnfWSsbExztpg8zDH/5nj5u7p0kErV2Xrvt4DdV3by3T2mZzCExRwBRc9Oni4zGaa5ujiAw/Yv+zKzFrpzp4E2NsK77q8mfXT7PhGOqzeITIf4h95bJiSkhJKT+HZuvGdWWJyyQWcwuPeKGiHJTzYu6ldugbeHCN65BGHaf369Rr4+DDntYb73l13U3uP3gNVXFKsPvd1dV5zBj42TBnpNZ0NM7nv3fcf8NhQrV69xjlNbdsH9u7Zm9OPuvboo9ZnnKZ2V12qgoICPdBvkLMcdmDfHvr+x5/18KChzik8R9c/Qs+PGqPZc+ZxCk+EhmRtTo6qVa2qNWtz9NLo1/Xjz785y3dSU1Kwj5Ax1bgnQIAShq3ZJb1/1lNOMm0eZgPTvr26OHtD8IisQGAPgm1rbdigftlJAYv/+lt9H37CSa/No3Gjo9Wt821l38xHtjeVqzbzbUDAddtnbnakP3D/OsLevfvhkSeG6dvvfyprwKwTNpvIBo4pNqdSDX9+VNnPr7zk37r4gnPc61AlrXn7PVAMA/bu3QyBDR0DLWRmZKhHt47c9+6Rl9X8z7IVzvsasw+HeZijo3t061S2PJb73r1BWPDnIpmNwLc9UXDb1rB3z96cojn+w0+1Mnu100ijBkepfburlFkrQ+YLvBdfeV2fT/rS+VlsbKzzehQ49dG9XlWOmkeMHON8OWoeBx90gLp2vlnmNd88sK8c94CfnyUBisXomWUM5nSS9LSaFrVQNBICK7OzVSUlVVWqpEaiOuoIQQD7ELBCuHTzli3Kzl6j1NSUsunF2xYvLi7W8pXZqvXfNcOBpTwhVM+lFgLYW+DtpmjBpk1avXqt81oemFbPfe+e9/Y1m6Na42Ljy/ZCwd47+4pa4jXH3XFYvWaNqlapqqSkxB0aMq9JOTm5ysyspdiYGHc7UolqN7OrzOyTfTMzFB9fuhx5+wf2leiG8NlTJUDx2YDRXQQQQAABBBBAAAEEEEAAAQQQ8F6AAMV7c1pEAAEEEEAAAQQQQAABBBBAAAGfCRCg+GzA6C4CCCCAAAIIIIAAAggggAACCHgvQIDivTktIoAAAggggAACCCCAAAIIIICAzwQIUHw2YHQXAQQQQAABBBBAAAEEEEAAAQS8FyBA8d6cFhFAAAEEEEAAAQQQQAABBBBAwGcCBCg+GzC6iwACCCCAAAIIIIAAAggggAAC3gsQoHhvTosIIIAAAggggAACCCCAAAIIIOAzAQIUnw0Y3UUAAQQQQAABBBBAAAEEEEAAAe8FCFC8N6dFBBBAAAEEEEAAAQQQQAABBBDwmQABis8GjO4igAACCCCAAAIIIIAAAggggID3AgQo3pvTIgIIIIAAAggggAACCCCAAAII+EyAAMVnA0Z3EUAAAQQQQAABBBBAAAEEEEDAewECFO/NaREBBBBAAAEEEEAAAQQQQAABBHwmQIDiswGjuwgggAACCCCAAAIIIIAAAggg4L0AAYr35rSIAAIIIIAAAggggAACCCCAAAI+EyBA8dmA0V0EEEAAAQQQQAABBBBAAAEEEPBegADFe3NaRAABBBBAAAEEEEAAAQQQQAABnwkQoPhswOguAggggAACCCCAAAIIIIAAAgh4L0CA4r05LSKAAAIIIIAAAggggAACCCCAgM8ECFB8NmB0FwEEEEAAAQQQQAABBBBAAAEEvBcgQPHenBYRQAABBBBAAAEEEEAAAQQQQMBnAgQoPhswuosAAggggAACCCCAAAIIIIAAAt4LEKB4b06LCCCAAAIIIIAAAggggAACCCDgMwECFJ8NGN1FAAEEEEAAAQQQQAABBBBAAAHvBQhQvDenRQQQQAABBBBAAAEEEEAAAQQQ8JkAAYrPBozuIoAAAggggAACCCCAAAIIIICA9wIEKN6b0yICCCCAAAIIIIAAAggggAACCPhMgADFZwNGdxFAAAEEEEAAAQQQQAABBBBAwHsBAhTvzWkRAQQQQAABBBBAAAEEEEAAAQR8JkCA4rMBo7sIIIAAAggggAACCCCAAAIIIOC9AAGK9+a0iAACCCCAAAIIIIAAAggggAACPhMgQPHZgNFdBBBAAAEEEEAAAQQQQAABBBDwXoAAxXtzWkQAAQQQQAABBBBAAAEEEEAAAZ8JEKD4bMDoLgIIIIAAAggggAACCCCAAAIIeC9AgOK9OS0igAACCCCAAAIIIIAAAggggIDPBAhQfDZgdBcBBBBAAAEEEEAAAQQQQAABBLwXIEDx3pwWEUAAAQQQQAABBBBAAAEEEEDAZwIEKD4bMLqLAAIIIIAAAggggAACCCCAAALeCxCgeG9OiwgggAACCCCAAAIIIIAAAggg4DMBAhSfDRjdRQABBBBAAAEEEEAAAQQQQAAB7wUIULw3p0UEEEAAAQQQQAABBBBAAAEEEPCZAAGKzwaM7iKAAAIIIIAAAggggAACCCCAgPcCBCjem9MiAggggAACCCCAAAIIIIAAAgj4TIAAxWcDRncRQAABBBBAAAEEEEAAAQQQQMB7AQIU781pEQEEEEAAAQQQQAABBBBAAAEEfCZAgOKzAaO7CCCAAAIIIIAAAgg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{\"showLink\": true, \"linkText\": \"Export to plot.ly\", \"plotlyServerURL\": \"https://plot.ly\", \"responsive\": true} ).then(function(){\n",
" \n",
"var gd = document.getElementById('c24d6b22-2450-4c42-bf3a-db970e0346d1');\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",
" }) }; }); </script> </div>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"df.iplot();"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "5f251e92-6085-457c-879a-8d1dd26b6642",
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.12.2"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
{
"keys": ["f1"],
"command": "dired",
"args": { "immediate": true }
},
{
"keys": ["ctrl+alt+t"], "command": "terminus_open", "args": {
"cwd": "${file_path:${folder}}"
}
},
{
"keys": ["shift+ctrl+alt+t"], "command": "terminus_open", "args": {
"cmd": "ipython",
"cwd": "${file_path:${folder}}"
}
}
{
"added_words":
[
"blockchain",
"screenshot",
"Hilpisch"
],
"auto_match_enabled": false,
"bold_folder_labels": true,
"caret_extra_bottom": 2,
"caret_extra_top": 2,
"caret_extra_width": 3,
"caret_style": "phase",
"color_scheme": "Packages/Theme - Cobalt2/cobalt2.tmTheme",
"font_size": 16,
"highlight_line": true,
"highlight_modified_tabs": true,
"ignored_packages":
[
],
"ignored_words":
[
"drawdown"
],
"indent_guide_options":
[
"draw_normal",
"draw_active"
],
"line_padding_bottom": 1,
"line_padding_top": 1,
"rulers":
[
80,
90
],
"spell_check": true,
"theme": "Cobalt2.sublime-theme",
"wide_caret": true
}
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#
# This is a first Python test file.
#
import random
rn=[round(random.gauss(0,1), 3)
for i in range(20)]
print(rn)
"
" This is an example file for:
" ~/.vimrc
"
" It configures some useful features
" for Python development and other purposes.
"
" It is to be saved in user home with name ".vimrc"
" i.e. at location "~/.vimrc"
"
" change "~/.inputrc" to include
" set editing-mode vi
"
" auto-completion for Python files
set completeopt=menu,noinsert
set complete=k**/*.py
" show line numbers
set number
" set tabs to have 4 spaces
set ts=4
" indent when moving to the next line while writing code
set autoindent
" expand tabs into spaces
set expandtab
" when using the >> or << commands, shift lines by 4 spaces
set shiftwidth=4
" show a visual line under the cursor's current line
set cursorline
" show the matching part of the pair for [] {} and ()
set showmatch
" enable all Python syntax highlighting features
let python_highlight_all = 1
" set register to clipboard
set clipboard=unnamed
" cursor placement via mouse click
set mouse=a
" Python formatting specifics
set tabstop=8
set softtabstop=4
filetype indent on
" Set ruler and line wrap
set colorcolumn=80
set textwidth=85
" executing current Python script via
" CTRL+x (python) or via CTRL+SHIFT+x (python3)
map <C-x> :w<CR>:!python %<CR>
map <C-S-x> :w<CR>:!python3 %<CR>
" remote terminal arrow keys fix
set term=ansi
" enable syntax highlighting
syntax enable
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