{ "metadata": { "name": "", "signature": "sha256:88c9e93cb32c65775a00f63e63bbafbc4e925b5b1fa8d2ccccc18c102fed95bf" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Python, an Introspective" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Have you ever wondered what Python is made from? Did it crawl out of the primordial-ooze of assembly code directly into the beautiful high-level language that we love to use? Nope! In fact, the language itself is abstract, based on a set of rules and regulations, with a set of core libraries and concepts defined for each specific language version (e.g. 2.7.6 or 3.4.1). In order to actually be able to use the language, the Python language must be *implemented* according to this set of rules and regulations.\n", "\n", "What we usually think of as Python is actually a C-based implementation of the Python language, or CPython. There are other implementations of Python: [Jython](http://www.jython.org/), [IronPython](http://ironpython.net/) (Java-based), or [PyPy](http://pypy.org/) (RPython), but CPython is by far the largest and most commonly used.\n", "\n", "The set of tools, rules, and regulations for implementing Python in C is contained in the [Python/C API](https://docs.python.org/2/c-api/). One of the great things about Python as an open-source language is that the full API is freely available. In other words, you have access to the same exact stuff that the Python core developers do! In theory, there's nothing stopping you from implementing your own version of Python! (Keep in mind however that there have been dozens of core developers, plus thousands of brilliant contributors to CPython over 23 years... so you might want to hold off on starting over from scratch)\n", "\n", "This is where the idea of extending python comes from. Using the C/API (or higher-level toolkits that handle some of the trickier parts of the API for you) anybody can build their own C-extension than can then be used just like any other library in python. In this demo, we'll *very briefly* touch on a couple of tools that allow us to extend Python in this manner." ] }, { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Why Extend Python?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Extending python is a great solution when you don't want to give up the convience, flexibility, and feature-richness of the Python environment, but need to leverage some C capabilities as well. Some of the more common use-cases for extending python include:\n", "\n", "* To speed up your python program\n", " * Computation-bound code that doesn't necessarily lend itself to vectorization (loop+many conditionals)\n", " * Can achieve O(100-1000) speedup over python alone depending on the application\n", "* To interface with existing C-code\n", " * Have massive legacy C-code that you'd like to be able to utilize in python\n", " * Often comes in handy when interfacing with hardware\n", "* To contribute to Python!\n", " * High-performance user-defined types for scientific applications" ] }, { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "The Real Question: How?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There are clearly many scenarios where extending python would be advantageous. In fact, the demand for extending python is so prevelant that there are many different ways to go about it; so many that I can't even list them all here. Some of the more common approaches (including the 3 that we'll talk about today) are listed below.\n", "* Python/C API - You can use the API itself to create C-extensions. This is the lowest-level approach, thus it gives the user the greatest flexibility, but also has the steepest learning-curve\n", "* Cython - The [cython website](http://cython.org/) describes the project as an \"optimizing static compiler ... that makes writing C extensions for python as easy as python itself\". It allows you to write code with pythonic syntax (although you'll have to heavily modify to truly unlock the full potential of the C-extension) that will then be converted to C for you and compiled, producing a C-extension based on your cython code.\n", "* Boost.python - A pure C++ library that converts your C/C++ into python modules via C++ macro-ninja-wizardry\n", "\n", "Other options that we won't be discussing in any detail today include:\n", "* SWIG\n", "* ctypes\n", "* Pyrex\n", "* psyco\n", "\n", "It is important to note that all of the extension options (cython, boost, swig, etc.) are based on the same C/API, but much effort has been put into simplifying the process of creating the C-extension. Many of these tools remove various parts of the \"wrapping\" process (e.g. reference counting, other nasty C things) from the user and attempt to automate them instead. " ] }, { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "The result" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We've talked a lot about extending python without actually mentioning what the end product of the extension process is. In fact, the term \"extension\" might be a bit misleading, because you are not necessarily adding any utility to the core python interpreter or anything like that (although it is possible for you to do so within the API). Most of the common use cases listed above involve generating a python module full of functions and/or user-defined types/objects that can be imported and used within the python environment.\n", "\n", "In other words, the extension process compiles your C-code and converts it into a dynamic library (.pyd on windows systems or .so on \\*nix systems) that can be imported just like any other python module. The flowchart below attempts to summarize the process." ] }, { "cell_type": "code", "collapsed": false, "input": [ "from IPython.display import Image\n", "Image('./PythonExtensionFlowchart.png')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "png": 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qx9zcHFZWVrCysoK9vT0GDRoktVhRzQldfX1WmRXR+Qb3svxBEzWkMTrCNISh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YPXu2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\nb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"prompt_number": 1, "text": [ "" ] } ], "prompt_number": 1 }, { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "A Closer Look..." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's take a closer look at the extension tools we'll look at today." ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Full-Blown C/API" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As indicated above, you can learn the C/API yourself and write any C-code you want to produce Python modules based on your C-code. The main advantage here is that you have full access to the API without any abstraction layers or \"middle-men\" in between you and the C-code. This direct access is also a double-edged sword however in that you are responsible for all of the things required by the C/API. One of the worst things about the C/API is dealing with how python does memory management via **reference counting**. This can be a huge pain to get correct and very difficult to debug (in fact, I'm not confident that I've done it correctly in some of my C-extensions). \n", "\n", "Because you have to be aware of the API rules and get familiarized with the python implementation, this method probably also has the steepest learning curve. Despite these drawbacks, this is still an excellent way to extend python, and you'll learn an awful lot in the process too. I've used the C/API to write analysis code that is relatively general and often reused on different data sets, as well as to wrap legacy C-code for interfacing with hardware." ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Cython" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Cython is a superset of the Python language, meaning that all python syntax is valid cython syntax, but there are additional cythonic things that you can introduce to the code to give the cython compiler additional information that will be used to auto-generate efficient C-code from your cython code.\n", "\n", "Cython handles the wrapping step from the flowchart above by auto-generating C-code from your cython input file. This makes cython relatively easy to start using (all you have to do is append .pyx to any .py file and use distutils to build the cython extension). It's not all cake and rainbows however; because all of the wrapping is being autogenerated for you, you don't necessarily know what is going on in that step. As a result, you will likely not get the behavior/performance gains that you were expecting the first time you use cython, due to inefficient switching between C and python code. Fortunately, there are tools to help you debug this and learn as you go.\n", "\n", "To be a truly proficient cython programmer probably involves learning the same amount of new rules and syntax as does learning the C/API, but for simple C-extensions cython is probably your best bet to get a quick start." ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Boost.python" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There are boost libraries for pretty much every language (just google boost.) and frankly I am unfamiliar with the C++ Boost libraries that are the precursor for other boost projects. What I do know is boost.python is another toolkit that does away with the wrapping step (almost) entirely; directly exposing your C/C++ functions and classes to python. Unlike cython, there is no conversion from a 3rd language to C; boost.python converts your valid C/C++ code directly into a python module without any visible intermediate steps.\n", "\n", "The main advantage here is that if you're a C++ programmer, you are one or two macro lines away from being the author of C-extensions. The ease with which C++ classes can be converted into python classes is particularly intriguing. I've personally never used boost.python (I was only introduced to it this past summer) but it's advantages definitely seem to make it worth learning about. " ] }, { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "The tutorial" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To introduce these three tookits, I am going to solve a simple (but non-trivial) example problem using each of the three extension methods outlined above. I think an example that is simple enough to understand but more complex than the simple hello world will allow us to expose some of the true functionality and quirks of these three extension tookits." ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "The example problem" ] }, { "cell_type": "code", "collapsed": false, "input": [ "Image('DSSD_cartoon.png')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "png": 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S3EUEAoGZRai45ObmvpQxxq8UrRatVmv1/lVcS6LBJS8QCKH5H6LRaHj8+DF1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\n3t4MHDiQH/3oR8yfP99hfasjC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"prompt_number": 2, "text": [ "" ] } ], "prompt_number": 2 }, { "cell_type": "markdown", "metadata": {}, "source": [ "I decided to steal a real problem from my research to demonstrate C-extensions. I work on segmented-readout semiconductor detectors for detecting and imaging gamma-rays. The segmentation of the readouts gives us information about the 3D position of gamma-ray interactions within the detector, but also introduces an additional complication: every gamma-ray interaction within the sensitive volume of the detector will produce signals on multiple readout strips (see illustration). Ultimately, we want to reconstruct the location of the gamma-ray interaction within the detector from the strip responses. These particular detectors have a full charge-collection time of up to 250 ns, which means that any strips that collect charge within 250 ns of each other are likely to have resulted from a single gamma-ray interacting within the detector.\n", "\n", "Our challenge is to find these readouts that correspond to potential gamma-ray interactions from a time-sorted list of strip readout timestamps." ] }, { "cell_type": "code", "collapsed": false, "input": [ "Image('some_data.png')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "png": 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aI0+NRgMAOu/ZtLa2FiWyXC5Hz549oVQqRe2ys7ORkZGB6dOni8pjYmJARAgJ\nCUFAQIDwYuvw8HDExMQwtwH+vA1l1KhRePXVV7Fv3z5YWVkJdWfPnkVVVRVWrlwp2BASEoJnnnkG\nBw4csIiPWPWU0lXnG5SEj00ZVwopvQzFkUXX+tszSktLRX2Ki4vRoUMHJj0smS9NiSWLLfX/Dh48\nWKi3s7NDnz59kJuba9G4NDemxK45+ltKRkNkMpmwrnH4kWezoVAo4ODgIErc1NRUTJo0CSkpKcK9\nb0SErKwsTJgwQdT/zJkzwimrhixZsgQlJSXC5zt37iA9PR1jx47FkCFDmNvs3r0br776Kv79739j\n3rx5evUnItTW1qJdu3ZCeV1dHRwdHS3iIxY9WXRtCIuPWceVgkUvQ3Fk0dXX1xc2NjZIS0tDSEiI\ncGrz5s2b8Pf3Z9LDUvnS1Fiy2FJ/YV1OTg48PDwEWb/++qtoQ7VEXJob1tg1V39LyWh4tHrv3j2T\n7rfl/MVoTRcMBQYG0pIlS0QXVLi5udGLL75IKpWK6urqaNmyZWRvb0/5+fmivrNnz6bhw4dLDs9y\nkU3jNnl5eWRvb0+hoaF0+vRp0V9OTo6ga5cuXWj69OmkUqlIq9XS9u3bycrKilJSUoQLDcLDw3Vk\nXLp0SRh7//79FBcXx+RKfbaw6Hrw4EHatGmTyT5m9aG+C0ZY9JKKI4uu4eHh1LdvX1IqlVRdXU3T\npk0jLy8vUqvVJunRlHxh8QeLDClbiIhCQkKof//+pFQqSaPRUGxsLNna2gq3VkjlE4s/TMlJQ/ay\nyJCyV0oGi78sIYNlHv/4448EgPLy8sya2/yCodZPq9o8V69erXMP3+XLl6l3795kY2NDdnZ25OHh\nQSdPntQ7YWfPnt0sm2dsbCwB0PvX8IrQ9PR0GjBgANnY2JCDgwO5uLjQvn37RJNOnwxfX1+hTVhY\nGPXu3dvszZNF1/DwcPLy8jLZx03ZLFh9KBVHKV3v3r1LI0eOJJlMRra2tuTt7U0ZGRkm69EaNk8p\nW+rbhISEkJWVFbVp04ZcXFzoyy+/ZM4nFn+YkpOG7GWRIWWvlAwWf1lCBss83rRpE/n4+JjsA755\n8s3TrM1TqVSSvb293iMApVJJOTk5pNFoWr1T79y5Q3l5eaTVak3uW1tbSyNHjnwoev+VfCyla0FB\nAd26desvYYsULLbcuXOHsrKyqLa21uL51NIyDNnLKsOYvywhgwU/Pz+do8yHObf55ml5WtWzbTt1\n6oS5c+ciPj4eH3/8sU7dXwVzLi6oZ82aNRZg7873AAAgAElEQVR79q05/v+rIKVrw98A/+qw2NKh\nQwe9eWeJfGppGYbsZZVhzF+WkCHFlStXcPv2bZ3naj/Muc2xPDIiohYdMSoK2LgRePddve/zVKlU\nGDRoEE6dOoUuXbr87QKiVqthbW3NM5PTavKJyzCN4OBgREZG6tye1mrmdv37PM+eBYYP55PETFrd\nKu3o6IiUlBST34TwyASEb5ycVpZPXAY7Wq0WW7duRffu3fnc5ptny/PEE0/wyHA4nL8ccrlc78bJ\neQRjzV3A4XA4HA7fPDkcDofD4Zsnh8PhcDh88+RwOBwOh2+eHA6Hw+H8fWh1V9sSEcaMGYPY2Fj4\n+PigsLAQq1at0mkXHR0NLy8vZGZmIi4uTq8sPz8/nRuV8/PzMXfuXGzfvl14uHhj9LXRaDRISEhA\ncnIy1Go1xo0bh/nz5xt8+8TWrVtRUVGBpUuXCmWTJ0/GmDFjLHajtL4x6jly5Ah27twJlUqF0aNH\nY/HixXpv/zHkj3379uHgwYOoqanB8OHDERUVBTs7O4O6sPrnwoULiIuLQ1FREfr06YNly5bBzc3N\n5Dgas9+Y7izjSOWcJePUEjJYc6G5ZTRlbmi1WgQFBSE+Ph5PP/00X7k5/MizMVu2bIFCoYCPjw8A\n4NKlS/jss89QWloq+nvw4AGAP99a0rguLy8P27Ztw61bt3QW+BkzZuD06dOorKw0uAnoaxMZGYlV\nq1Zh7NixCA0NxerVqzF//ny9Mg4ePIhFixbpjH/u3DncvHnTIn4yNAYA7NmzB1OmTMHAgQMRGhqK\n9evXIyIigtnWdevWYd68eQgMDMTUqVORmJiI0NBQo/qw+OfEiRMYMWIEPDw8EBERgczMTAwbNgyV\nlZUmxdGY/VK6s4wjlXOWilNLyGDNheaW0dS5IZfLERUVhTlz5kCr1fKVm9MqjvRazbNtq6urycXF\nhdLS0oSyFStW6DwsXorJkydTQEAA1dXVicpjYmKoW7duRh/ira9NcXExWVlZ0aFDh4R2SUlJJJfL\nqby8XCgrKyujhQsXkq2tLbm4uOg8HNvV1ZWWL1/eJPdJjaHRaMjd3Z3Wrl0rlKWmphIA4U0bUv7w\n8vKilStXCp/Pnz9PAOiXX37RqxOrf7y8vOidd94RPt+7d4+cnZ3pyJEjzHGUst9U3fWNY07OmRqn\nlpBhSi40pwxLzo2ePXuK8ozDn237sGhVR567d++Gk5OT8J5CALh27RoGDRoErVaLu3fvSspISkrC\n4cOHsWPHDtFppbS0NGzcuBHx8fEG+xpq4+LigpycHOEdf/VHbTKZDA2fbnj8+HFcu3YNKSkp8PX1\nbRYfSY1x/fp1KJVK0aPBAgIC4OrqilOnTjH5Q6vVio6y6l8+XVdXp1cnFv9kZGQgNzcXr732mtBG\noVCgrKwM48ePZ46jlP2m6q5vHFNzzpw4tYQM1lxobhmWnBsTJ07Ehg0b+FEP56HTqn7zPHTokM7z\nINPT01FUVARnZ2dUVFTA3d0d//73v3Vehg0AtbW1WLJkCd544w3R7yJVVVUIDw/Hhg0bDD4v11gb\nmUyGbt26AQCys7Px3XffYcWKFViyZAmcnZ2FdmFhYZgxY0az+khqjNzcXABA165dReWenp7CaTEp\nf7z//vt444034ODgAFdXV6xfvx6zZs1Cr1699I7J4p+ff/4ZCoUC+fn5mDJlCrKzs9GvXz9s2LBB\nZzE1FEcW+03R3dA4puScuXFqCRksudASMiw5N8aNG4cPP/wQJSUl/ElknIdKqzryTE1NRd++fYXP\nKpUKSqUSbm5u+OGHH5CXl4eQkBBMmjQJV69e1em/a9culJSUIDo6WlQeFRUFHx8fzJw50+DYLG0A\nYP369di8eTNqa2t1Nh4HB4dm95HUGCqVCnK5HPb29qLyNm3aoKqqisnWHj16oHPnzvj000/xySef\noLi4GEFBQUz6GfJPeXk51Go1Zs6ciYiICOzfvx9t27bFs88+i6KiIqY4sthviu76xjE158yNU0vI\nYMmFlpBhyblRvz6kpqby1ZvDjzzrj4ZUKhVcXV2FMkdHR9TU1EAulwun37Zs2YJvv/0WiYmJGDBg\ngEhGXFwcpk2bJpJx9OhRJCcnIzMz0+DYLG3qSUhIAAAkJydj/Pjx6NChA8LCwlpNQG1sbKDVaqHV\nagWfAX++0cHe3l7S1pKSEgQHB2P+/PlYu3YtZDIZjh8/jvHjx8PZ2VnnzIAp/qmursb69euFz0OH\nDkXXrl2RmJiI5cuXG40jC6bqrm8cU3OuNSOVCy0lw9JfHh0dHXW+cHE4f9sjT41GI5wCFO3u1tai\nSSuXy9GzZ08olUpRu+zsbGRkZGD69Omi8piYGBARQkJCEBAQgKlTpwIAwsPDERMTw9ymMWPHjkX/\n/v1x8uTJVhVQNzc3AEBpaamovLi4GB06dJC09ezZs6iqqsLKlSuFWISEhOCZZ57BgQMHmPVo7J/6\nd00OHjxYaGNnZ4c+ffoIpwaNxZEFU3Q3Ng5rzrV2pHKhpWRYGplMJqwXHM7f/shToVDAwcFBNElT\nU1MxadIkpKSkCPcgEhGysrJ0fn86c+aMcBqwIUuWLEFJSYnw+c6dO0hPT8fYsWMxZMgQpjapqal4\n7rnn8PPPP6Nz586CHn/88Qfatm3bqgLq6+sLGxsbpKWlCRfwlJeX4+bNm/D398dTTz1l1Fa1Wg0i\nQm1tLdq1aye0q6urg6Ojo94xWfxTfxFYTk6O6EXDv/76q2hDNRRH1hxi1d3QOKbkXGtHKhdaSoYl\nUavVuHfvnrCpczgPjdZ0q0pgYCAtWbJE+FxZWUlubm704osvkkqlorq6Olq2bBnZ29tTfn6+qO/s\n2bNp+PDhksPfuHHD6K0q+tpUV1fTk08+SWFhYVRVVUV1dXW0fPlysrGxoatXr+qVERQUpPdy/PDw\ncDp9+rTo79KlS0Kb/fv3U1xcHJMr9Y1BRBQeHk59+/YlpVJJ1dXVNG3aNPLy8iK1Wi1pa2VlJXXp\n0oWmT59OKpWKtFotbd++naysrCglJUXod/DgQdq0aZNJ/gkJCaH+/fuTUqkkjUZDsbGxZGtrK7rl\ngTWO+uxn1d3YOKw5Z4k4tYQMllxoCRmWmBtERD/++CMBoLy8PJPH5fBbVSxJq9o8V69erXN/3eXL\nl6l3795kY2NDdnZ25OHhQSdPntQ7IWfPnt0smycRUXp6Ovn6+gp6eHp66tVDaoEAoPPn6+srtAkL\nC6PevXs3aUG9e/cujRw5kmQyGdna2pK3tzdlZGSYZOuAAQPIxsaGHBwcyMXFhfbt26ezoHp5eZnk\nn7t371JISAhZWVlRmzZtyMXFhb788kuz4mjIfhbdpcZhyTlLxKklZLDkQkvIsMTcICLatGkT+fj4\nmDUuh2+ej+zmqVQqyd7ennJycvTW5eTkkEajeagOUyqVVFBQ0Gzya2traeTIkRaRVVBQQLdu3TLb\nZ3fu3KG8vDzSarUW9c+dO3coKyuLamtrm82P5uhuSs5ZIk4tKcNYLrSkjKbi5+cnOtJsqXH55slp\nTKu6z7NTp06YO3cu4uPj8fHHH+vUtRYdm5M1a9ZY7Nm3DX9bNAdzLghh8U+HDh2a/WITS8g3Zosl\n4tSSMozlQkvKaApXrlzB7du3Rc85bolxORy9F64RNXhETksQFQVs3Ai8+y7w4Yc61SqVCoMGDcKp\nU6cMPtDgUUatVsPa2ppn5t8gTlyGaQQHByMyMlJ0yxGfL2bQqxdw4wZw9iwwfDj3h5m0uqxzdHRE\nSkqK2W9s+MsHhC8Ef5s4cRnsaLVabN26Fd27d+fzhcM3T0Pwx25xOJyGyOVynY2Tw3moOcldwOFw\nOBwO3zw5HA6Hw+GbJ4fD4XA4fPPkcDgcDucvTKu7YIiIMGbMGMTGxsLHxweFhYVYtWqVTrvo6Gh4\neXkhMzMTcXFxemX5+fmJ7gkDgPz8fMydOxfbt28Xnl3aGH1tNBoNEhISkJycDLVajXHjxmH+/Pmw\nsrIS+knpOnnyZIwZM6ZJ96Wx6AEAFy5cQFxcHIqKitCnTx8sW7bM6PNAjxw5gp07d0KlUmH06NFY\nvHixzhXPhmSaEgND41hChim2NFUPqThoNBokJibi5MmTqKqqQv/+/REdHY327dublHNSMkwdR4qt\nW7eioqICS5cuNTk/9u3bh4MHD6KmpgbDhw9HVFQU7OzsLKoHCyy6Nmd/lpgYWwu0Wi2CgoIQHx+v\n8z5bDj/yNMiWLVugUCjg4+MDALh06RI+++wzlJaWiv4ePHgA4M+Hfjeuy8vLw7Zt23Dr1i2dpJ4x\nYwZOnz6NyspKg4mvr01kZCRWrVqFsWPHIjQ0FKtXr8b8+fNFfaV0PXfunEkvENYHix4nTpzAiBEj\n4OHhgYiICGRmZmLYsGEGbd6zZw+mTJmCgQMHIjQ0FOvXr0dERASzTNYYGBvHEjJYbbGEHlJxWLBg\nAd577z0MHToU06dPx9mzZ+Hv7w+VSsWccywyTBlHioMHD2LRokU684bFp+vWrcO8efMQGBiIqVOn\nIjExEaGhoWbluCE9WGDRtTn7s8bE2Fogl8sRFRWFOXPmQKvV8l2qtdKaHs9XXV1NLi4ulJaWJpSt\nWLFC53m3UkyePJkCAgKorq5OVB4TE0PdunUz+mxbfW2Ki4vJysqKDh06JLRLSkoiuVxO5eXlzLq6\nurrS8uXLzXYdqx5eXl70zjvvCJ/v3btHzs7OdOTIER2ZGo2G3N3dae3atUJZamoqARA9sN0Umfpi\nwDpOU2SwjGEJPaTiUFhYSADo66+/FuorKipIoVBQQkICU86xyDB1HEOUlZXRwoULydbWllxcXETP\nnTUlP1auXCl8Pn/+PAGgX375xSJ6sGBObC3Z35SYsKwFPXv2FOUYfzxf66JVHXnu3r0bTk5Owuur\nAODatWsYNGgQtFot7t69KykjKSkJhw8fxo4dO0SnWtLS0rBx40bEx8cb7GuojYuLC3JycoRXMtUf\nLchkMjR8QJOpupoKix4ZGRnIzc3Fa6+9JrRRKBQoKyvD+PHjdWRev34dSqVS9NSWgIAAuLq64tSp\nU2bJ1BcDlnGaKoNlDEvoIRUHuVyO+Ph4DBs2TKh3dHSEk5MTCgsLmXKORYYp4xjj+PHjuHbtGlJS\nUuDr62tyftSfaqw/w1KvW/2RvCX0YMHU2Fq6vyVjAgATJ07Ehg0b+BEeP20rzaFDh0SJCwDp6em4\ncuUKnJ2d4eLiAg8PDxw+fFhv/9raWixZsgRvvPGG6LeCqqoqhIeHY8OGDQYf+WesjUwmQ7du3WBr\na4vs7Gxs374dkZGRWLJkCZydnc3S1RxY9Pj555+hUCiQn5+PIUOGoH379ggKCkJ6erpemfUvou7a\ntauo3NPTUzitZIpMQzFgGaepMljGsIQeUnHo0KEDFixYIHrX6/Hjx1FQUIDg4GCmnGORwTqOFGFh\nYUhJSYGfn59Z+QEA77//PuLj4/HBBx8gISEBL7/8MmbNmoVevXpZRA8WTIltc/S3ZEwAYNy4cbhw\n4YLo/bscvnnqJTU1FX379hU+q1QqKJVKuLm54YcffkBeXh5CQkIwadIkXL16Vaf/rl27UFJSgujo\naFF5VFQUfHx8MHPmTINjs7QBgPXr12Pz5s2ora0VLXim6tpUDOlRXl4OtVqNmTNnIiIiAvv37xde\n+lxUVKQjR6VSQS6Xw97eXlTepk0bVFVVmSzTUAxYxmmqDJYxLKEHSxwakpmZiVmzZmHOnDkIDAw0\nOeeMyTC1jT4cHBwM1rH6q0ePHujcuTM+/fRTfPLJJyguLkZQUJBJOW1MDxZMiW1z9LdkTAAIa2Fq\nairfqVohreZq2/rFz9XVVXS6o6amBnK5XDgNtGXLFnz77bdITEzEgAEDRDLi4uIwbdo0kYyjR48i\nOTkZmZmZBsdmaVNPQkICACA5ORnjx49Hhw4dEBYWZrKuTcWQHgBQXV2N9evXC5+HDh2Krl27IjEx\nEcuXLxfJsbGxgVarhVarFfQG/nzgdsNFhFWmvhiYMk5TZLCMYQk9WOMA/HlhyIQJEzB69Ghs3brV\nrJwzJMPUNubA4q+SkhIEBwdj/vz5WLt2LWQyGY4fP47x48fD2dlZ52xSc2FKbJujv6Vj4uDgAEdH\nR71fejn8yFNAo9EIp8REu7u1tSiR5XI5evbsCaVSKWqXnZ2NjIwMTJ8+XVQeExMDIkJISAgCAgIw\ndepUAEB4eDhiYmKY2zRm7Nix6N+/P06ePGmyrpaksR71r+IaPHiw0MbOzg59+vQRTks1pP72ldLS\nUlF5cXGxIItVpqEYsI7TVBksY1hCD9Z82LdvH0aNGoVXX30V+/btE91OxJpzxmSY0sZcWPx19uxZ\nVFVVYeXKlcL8DQkJwTPPPIMDBw602BrCGtvm6t8cMZHJZMLayOGbp14UCgUcHBxEiZuamgoPDw/k\n5+cLZUSErKwseHt7i/qfOXNGOJXYkCVLlmD58uWYMWMGZsyYgXHjxgmL3ZAhQ5japKamQqFQoKCg\nQKTHH3/8Ify2YYquTTmtLaVH/cVWOTk5or6//vor3N3ddWT6+vrCxsYGaWlpolO/N2/ehL+/v0ky\nDcWAdZymymAZwxJ6sMRh9+7dmD17NjZv3ox169bpfClkyUspGaxtmgKLvxQKBYgItbW1or51dXVw\ndHRssTWENbbN1d/SMVGr1bh3757R+7M5D5HWdKtKYGAgLVmyRPhcWVlJbm5u9OKLL5JKpaK6ujpa\ntmwZ2dvbU35+vqjv7Nmzafjw4ZLD37hxw+itKvraVFdX05NPPklhYWFUVVVFdXV1tHz5crKxsaGr\nV68y6+rq6krh4eF0+vRp0d+lS5eEsffv309xcXF69WLRg4goJCSE+vfvT0qlkjQaDcXGxpKtra1w\nuf3Bgwdp06ZNQvvw8HDq27cvKZVKqq6upmnTppGXlxep1WpmmSwxYBmnqTJYxmiqHlJxyMvLI3t7\newoNDdWJdU5ODlPOschgaWMsn/QRFBSkc4uIlL8qKyupS5cuNH36dFKpVKTVamn79u1kZWVFKSkp\nFtODRYaUrlIyWHLDmAzW2LOsBT/++CMBoLy8PJN8wG9VaRla1ea5evVqnfskL1++TL179yYbGxuy\ns7MjDw8POnnypN7JNnv27GbZPImI0tPTydfXV9DD09NTRw8pXV1dXQmAzp+vr6/QJiwsjHr37m1Q\nNxY97t69SyEhIWRlZUVt2rQhFxcX+vLLL0ULhJeXl6j9yJEjSSaTka2tLXl7e1NGRoZJMlliwDJO\nU2Ww2tJUPYzFITY2Vm+cAdBbb73FlHMsMljaSOUTy6bF4q/09HQaMGAA2djYkIODA7m4uNC+ffuY\n85pFDxYZUrpKyWCx1ZgM1tizrAWbNm0iHx8fk33AN8+/4eapVCrJ3t5e77dzpVJJOTk5pNFoHqrD\nlEolFRQUSLYxV9fa2loaOXKkRfS4c+cOZWVlUW1tLdPYBQUFdOvWLaN6myrT3HGaKoNlDEvowRKH\nhwlrPlkyP/Ly8kir1VpcD1NkGNKVVYYxWy3pU2P4+fnpHGVaZGy+eVqEVvVs206dOmHu3LmIj4/H\nxx9/rFPXWnS0RBtDrFmzhunZtyxjdOjQwaQLHTw8PCwu09xxmiqDZQxL6NFa8rKp+WTJ/GguPUyR\nYUhXVhnGbLWkTw1x5coV3L59W+fZ3C0xNofxYi5q+IicliAqCti4EXj3XeDDD3WqVSoVBg0ahFOn\nThm8b+5RRq1Ww9rammcm55HKJ0vo8SjJkCI4OBiRkZE6t/lYZOxevYAbN4CzZ4Hhw/kkMZNWt0o7\nOjoiJSXFpLcYPFIB4Rsn5xHMJ0vo8SjJMIZWq8XWrVvRvXt3vj7wzdM0nnjiCR4ZDofzt0Qul+vd\nODmtLE7cBRwOh8Ph8M2Tw+FwOBy+eXI4HA6HwzdPDofD4XD45snhcDgczt+HVne1LRFhzJgxiI2N\nhY+PDwoLC7Fq1SqddtHR0fDy8kJmZibi4uL0yvLz89O5yTg/Px9z587F9u3b4enpqbefvjYajQYJ\nCQlITk6GWq3GuHHjMH/+fNHbEqR0nTx5MsaMGWOxm5xZbNm6dSsqKiqwdOlSg3I0Gg0SExNx8uRJ\nVFVVoX///oiOjkb79u1FbYzZzyIDAI4cOYKdO3dCpVJh9OjRWLx4sei2JKl6ALhw4QLi4uJQVFSE\nPn36YNmyZaKHZxuTwZIvrLYkJiYiOTkZtbW1eOGFFxARESF6q45UPfDn2zcOHjyImpoaDB8+HFFR\nUbCzs2P2h1TOmYqhfGGJC4u9TdWDBRZdm7M/y1phbC3QarUICgpCfHy86CXsHH7kaZQtW7ZAoVDA\nx8cHAHDp0iV89tlnKC0tFf09ePAAwJ9vbmhcl5eXh23btuHWrVs6ST1jxgycPn0alZWVBhNfX5vI\nyEisWrUKY8eORWhoKFavXo358+eL+krpeu7cOeY30rNMUClbDh48iEWLFun4oTELFizAe++9h6FD\nh2L69Ok4e/Ys/P39oVKpmO1nkbFnzx5MmTIFAwcORGhoKNavX4+IiAjmegA4ceIERowYAQ8PD0RE\nRCAzMxPDhg0TfCAlgyVfWGx54403sGjRImGcDRs2YNasWcz1ALBu3TrMmzcPgYGBmDp1KhITExEa\nGmqSP6RyzhQM5QuLHiz2NlUPFlh0bc7+rGuFsbVALpcjKioKc+bMgVar5btUa6U1Pdu2urqaXFxc\nKC0tTShbsWKFzsPipZg8eTIFBARQXV2dqDwmJoa6detm9MHw+toUFxeTlZUVHTp0SGiXlJREcrmc\nysvLmXV1dXWl5cuXW8SNxmwpKyujhQsXkq2tLbm4uOg8YLshhYWFBIC+/vproayiooIUCgUlJCQw\n2c8iQ6PRkLu7O61du1Zok5qaSgAoKytLsr4eLy8veuedd4TP9+7dI2dnZzpy5AizDGP5wmJLbm4u\nyWQy2rt3r9AmPz+fbG1t6fz585L1DW1ZuXKl8Pn8+fMEgH755RdmW8yZH40xli8serDa2xQ9WDA3\n/pbqb8pawbIW9OzZUyTHYvBn21qEVnXkuXv3bjg5OQnvjwSAa9euYdCgQdBqtbh7966kjKSkJBw+\nfBg7duwQnWpJS0vDxo0bER8fb7CvoTYuLi7IyclBSEiI6MhPJpOh4dMNTdXVXKRsOX78OK5du4aU\nlBT4+voaP/UglyM+Ph7Dhg0TyhwdHeHk5ITCwkIm+1lkXL9+HUqlUvS4sYCAALi6uuLUqVOS9QCQ\nkZGB3NxcvPbaa0IbhUKBsrIyjB8/nkmGVL6w2JKeng4iwgsvvCC06dKlC3r06IGTJ09K1jc8Pdfw\nCLH+FGddXR2zLZbIOWP5wqIHq71N0YMFc+Jvyf6mrBUsTJw4ERs2bOBHePy0rTSHDh3SeZZjeno6\nrly5AmdnZ7i4uMDDwwOHDx/W27+2thZLlizBG2+8IfqtoKqqCuHh4diwYYPB5+UaayOTydCtWzfY\n2toiOzsb27dvR2RkJJYsWQJnZ2ezdDUXFlvCwsKQkpICPz8/SXkdOnTAggULhJc41y9iBQUFCA4O\nZrKfRUZubi4AoGvXrqLxPT09cfPmTcl6APj555+hUCiQn5+PIUOGoH379ggKCkJ6ejrTGCz5wmJL\nu3bthFg0pLy8HL///rtkfT3vv/8+4uPj8cEHHyAhIQEvv/wyZs2ahV69ejHbYomcM5YvLHqw2tsU\nPVgwNf6W7m/KWsHCuHHjcOHCBZSUlPCdim+exklNTUXfvn2FzyqVCkqlEm5ubvjhhx+Ql5eHkJAQ\nTJo0CVevXtXpv2vXLpSUlCA6OlpUHhUVBR8fH8ycOdPg2CxtAGD9+vXYvHkzamtrRZuXqbqaC4ue\nDg4OZsvPzMzErFmzMGfOHAQGBjLbLyVDpVJBLpfD3t5e1LZNmzaoqqqSrK9fjNVqNWbOnImIiAjs\n378fbdu2xbPPPouioiImGSz5ImWLv78/2rdvj7fffls4cty8eTNu376Nqqoqyfp6evTogc6dO+PT\nTz/FJ598guLiYgQFBTH5y5I5ZyxfWPRgtbcperBgavwt3d+cuWKM+rUwNTWV71StkFZztW39Aurq\n6io6XVZTUwO5XC6c0tqyZQu+/fZbJCYmYsCAASIZcXFxmDZtmkjG0aNHkZycjMzMTINjs7SpJyEh\nAQCQnJyM8ePHo0OHDggLCzNZV3MwRU9zOHfuHCZMmIDRo0dj69atJtkvJcPGxgZarRZarVZ0BaZa\nrYa9vb1kfT3V1dVYv369MObQoUPRtWtXJCYmonv37kwyjOULiz+cnJywc+dOhIeH4+jRo2jbti3c\n3d0xatQo4RSvsXoAKCkpQXBwMObPn4+1a9dCJpPh+PHjGD9+PJydnZn80RI5x6IHi70tAWsONVd/\nU+cKy5cJR0dHFBUV8Z2KH3kaRqPRCKc9RLu7tbUokeVyOXr27AmlUilql52djYyMDEyfPl1UHhMT\nAyJCSEgIAgICMHXqVABAeHg4YmJimNs0ZuzYsejfv7/oNx1WXc3FHD1Z2bdvH0aNGoVXX30V+/bt\nE11Wz2q/MRn1t5KUlpaK5BQXF6NDhw6S9fWnVAFg8ODBQr2dnR369OmD3NxcJhlS+cLqj7FjxyI3\nNxd79uzBvn37cPHiRfzxxx/CeyCl6s+ePYuqqiqsXLlSyPmQkBA888wzOHDgALMtzZ1zrHpI2dsS\nmBL/5uhvylxhRSaTCWsjh2+eelEoFHBwcBAlbmpqKjw8PJCfny+UERGysrLg7e0t6n/mzBnhFF5D\nlixZguXLl2PGjBmYMWMGxo0bJyT0kCFDmNqkpqZCoVCgoKBApMcff/wh/DZmiq7mwmKLOezevRuz\nZ8/G5s2bsW7dOp0vMCz2S8nw9fWFjY0N0tLShLLy8nLcvHkT/v7+kvUAhAvJcnJyRLJ//fVXuLu7\nM8mQyhcWW1QqFZYuXYra2lqEhIRg2BK6YpoAACAASURBVLBhKC8vx7Vr1zB8+HDJ+vp8JyLU1taK\nZNfV1cHR0ZHJlpbIORY9WOxtCUyJf3P0Z50rrKjVaty7d090DzOnFdGablUJDAykJUuWCJ8rKyvJ\nzc2NXnzxRVKpVFRXV0fLli0je3t7ys/PF/WdPXs2DR8+XHL4GzduGL1VRV+b6upqevLJJyksLIyq\nqqqorq6Oli9fTjY2NnT16lVmXV1dXSk8PJxOnz4t+rt06ZIw9v79+ykuLo7JlSy2BAUF6Vzyf/Dg\nQdq0aRMREeXl5ZG9vT2Fhobq6JWTk8NkP4sMIqLw8HDq27cvKZVKqq6upmnTppGXlxep1WqmeiKi\nkJAQ6t+/PymVStJoNBQbG0u2trbCrQQsMozlC6stXl5eNG/ePFKr1VRRUUHPP/88DRw4kLRaLVN9\nZWUldenShaZPn04qlYq0Wi1t376drKysKCUlhckWlpwzJZ8M5QuLT6XstYQeLDKkdJWSwWKrMRks\nawXrWvDjjz8SAMrLyzNrfeC3qjQvrWrzXL16tc49a5cvX6bevXuTjY0N2dnZkYeHB508eVLvZJs9\ne3azbJ5EROnp6eTr6yvo4enpqaOHlK6urq4EQOfP19dXaBMWFka9e/du1s0zPDycvLy8iIgoNjZW\nr04A6K233mKyn1XG3bt3aeTIkSSTycjW1pa8vb0pIyODub6+TUhICFlZWVGbNm3IxcWFvvzyS5Nk\nGMsXVlsuX75MXbt2pTZt2pCtrS09++yzdPv2beb6ep8OGDCAbGxsyMHBgVxcXGjfvn0m2SKVc6bk\nk6F8YdXDmL2W0INFhpSuUjJYbJWSwbJWsKwFmzZtIh8fH5N9wDfPv+HmqVQqyd7eXvQNv2FdTk4O\naTSah+owpVJJBQUFkm3M1bW2tpZGjhzZahOGxX4pCgoK6NatWwb9I1VPRHTnzh3Kysqi2tpas2U0\nFY1GQ7du3aLCwkKz6hvakpeXJxylmWOLoZyzZD5J6WHMXkvoYYoMQ7qyyjBmK6uMps4VPz8/naNM\ni8STb54WoVU927ZTp06YO3cu4uPj8fHHH+vUtRYdLdHGEGvWrLHYs28flv1SSF1EwnKRSYcOHYxe\nxNESF6rI5XKdewJNqW9oS1P9YSgulswnKT2M2WsJPUyRYUhXVhnGbGWV0ZS5cuXKFdy+fVvn2dyt\nfX34OyEjUx970VSiooCNG4F33wU+/FCnWqVSYdCgQTh16pRZ90b91VGr1bC2tuaZyXmk8skSejxK\nMqQIDg5GZGSkzkNjLDJ2r17AjRvA2bNAC17Q9ajR6lZpR0dHpKSkmPQWg0cqIHzj5DyC+WQJPR4l\nGcbQarXYunUrunfvztcHvnmaxhNPPMEjw+Fw/pbI5XK9GyeHb55/kpcHnDnDI8DhcDgtiRmPGuS0\nhs2z/obzL77484/D4XA4D+MQl/vgL7V5hoUB588DLXydEofD4XD+FxcXoF8/7oemHAe2+NW2HA6H\nw+H81Q/cuQs4HA6HwzGNVne1LRFhzJgxiI2NhY+PDwDgwoULiIuLQ1FREfr06YNly5YZfFjy1q1b\nUVFRgaVLl4rKExMTkZycjNraWrzwwguIiIgQvY1Co9EgMTERJ0+eRFVVFfr374/o6Gi0b99eaLNv\n3z4cPHgQNTU1GD58OKKiomBnZycax1ibyZMnY8yYMU2+yVnKHxqNBgkJCUhOToZarca4ceMwf/58\ng29KYbFdSqZUfWZmJuLi4vSO7+fnJ9wMLhWnwsJCrFq1SkdGdHQ0vLy8mHKBxYcsOXfkyBHs3LkT\nKpUKo0ePxuLFi/XeYmVIDxZbWGJtLHam+MsQLPlkiXFYYycFa1yaq39D8vPzMXfuXGzfvh2enp5C\nubG1QKvVIigoCPHx8cJL2jn8yFOSLVu2QKFQCBvniRMnMGLECHh4eCAiIgKZmZkYNmwYKisrdfoe\nPHgQixYtwq1bt0Tlb7zxBhYtWoSBAwciNDQUGzZswKxZs0RtFixYgPfeew9Dhw7F9OnTcfbsWfj7\n+0OlUgEA1q1bh3nz5iEwMBBTp05FYmIiQkNDRTKk2pw7d475jfSGYPFHZGQkVq1ahbFjxyI0NBSr\nV6/G/PnzDcqUsp1FplR9XV0dSktLRX95eXnYtm2bEC+WOF26dAmfffaZjqz6lzBL5QKLD1l8vGfP\nHkyZMkXQdf369YiIiGDOSRZbWPSQih2rv4zBkk+WGIfFZ1KwxqW5+jf+0jFjxgycPn1aZ70ythbI\n5XJERUVhzpw50Gq1fJdqrbSmZwVWV1eTi4sLpaWlid7W8M477wif7927R87OznTkyBGhrKysjBYu\nXEi2trbk4uIieqB0bm4uyWQy2rt3r1CWn59Ptra2dP78eSIiKiwsJAD09ddfC20qKipIoVBQQkKC\noMfKlSuF+vPnzxMA+uWXX0S6Gmvj6upKy5cvb5KPpPxRXFxMVlZWdOjQIaFNUlISyeVyKi8v15HH\nYruUTFPHrGfy5MkUEBBAdXV1THEiIlqxYoXOywMaYiwXWH0oVa/RaMjd3Z3Wrl0rtElNTSUAwttd\nWPSQskVKD5bYSY0hBWtsmzoOq8+knjUsFZfm7N+YmJgY6tatm96XN7CsBT179hT5ndO6aFVHnrt3\n74aTk5Pw3saMjAzk5ubitddeE9ooFAqUlZVh/PjxQtnx48dx7do1pKSkwNfXVyQzPT0dRIQXXnhB\nKOvSpQt69OghvJxWLpcjPj4ew4YNE9o4OjrCyckJhYWFwqmUht+i608l1tXViU63SLVpCiz+cHFx\nQU5ODkJCQkTfgGUyGfRdG8Ziu5RMU8cEgKSkJBw+fBg7duyAjY0NU5wA4Nq1axg0aBC0Wi3u3r2r\nI9dYLrD4kMXH169fh1KpFD06LSAgAK6urjh16hSTHlK2sOjBEjspf0nBGtumjsPqM2OwxKU5+zck\nLS0NGzduRHx8vNnzfeLEidiwYQM/wuNHntL885//pMWLFwufP//8c1IoFHTu3DkKDAykxx9/nEaO\nHEnXrl3TOWI19CqjU6dOEQAqKioS9enUqRPNmjXLoC7JyckEgC5evEhERHv27KHHHnuMYmJiaPv2\n7eTt7a3TX6pNU488Wf1RT1ZWFm3bto1cXV3p7bffZh6nse2myGQZ8/79+9S5c2fRK75Y49SlSxfy\n9/cnhUJBAMjd3Z2++uorplxg8SGLjw8fPkwAqKamRiR78ODBtGjRIiY9pGwxNdaGYiflL1MwFltL\njMPiM2OwxKU5+9dTWVlJPXr0oF27dhl8bSDLWvD999+TTCaj4uJifpjHjzyNk5qair59+wqfy8vL\noVarMXPmTERERGD//v1o27Ytnn32WRQVFQntHBwcDMr09/dH+/bt8fbbbwtHhZs3b8bt27dRZeBJ\nG5mZmZg1axbmzJmDwMBAAECPHj3QuXNnfPrpp/jkk09QXFyMoKAgUT+WNk2B1R/1rF+/Hps3b0Zt\nbS3zQ/b12W6KTJYxd+3ahZKSEkRHR5sUJ5VKBaVSCTc3N/zwww/Iy8tDSEgIJk2ahKtXr0rmAosP\nWXysUqkgl8thb28vkt2mTRtBVyk9pGwxNdb6YsfiL1MwFFtLjSPlMylY4tKc/euJioqCj48PZs6c\n2SR76tfC1NRUfpTHjzyNf1sDQMeOHRPK4uLiCAAdOHBAdNTi5uZGH3zwgV45+r6xHjt2jBQKBTk7\nO5OHhwcNHjyYRo0aRS+//LJO/++++46cnZ1p2rRpwtvji4uLqV27drRkyRLhnYvJyckkl/9/9t4+\nKKoj3QP+zeDwZRglsrIIBhWhzKpw8QMhG8WApoyDmkBiFFhhS1GjG5W6oHGpjeVl1y3UMpFcUCEk\nfoS80YiRBI2FeWuNGjFiDELdBIl85OWOIIooA5iZzMzz/pHLWY/zcXqGA8HYvyqqmNN9no/f85zu\n6Z7T3UrBXpY6fR15OsNHr/8KhUJ0nzVY891ZmfbKQ0NDrXLPEqeff/5ZdMaiyWSi4OBgWrNmDVMu\nSHHIwvFHH31EACzOepw5cyatXbuWyQ4pXxyNta3YOcIXK6zFVm49zow8HY2L3PcTEZWWlpKfnx/d\nvn2biKhPI08iIrVaTfv27ePDPD7ytP9mGgAoerfvw7/POZwxY4Zwzc3NDZMmTUJ9fT2z7Li4ONTX\n1+PQoUMoLi7GhQsXcPfuXYsz+4qLizF37lwsX74cxcXFwqv4Z86cQXd3N7Zs2SLYp9Fo8Oyzz+Lo\n0aPMdfoKZ/mIi4tDeHi46LfDh2HLd2dl2iq/du0aqqurkZiY6FSchgwZIlq6olQqMWHCBGi1Wlk4\nZOG4d6nI7du3RbLb2tokz+Z8EPZ8cSTW9mLXV75YY9sfehxFX+MiR1yzs7NBRNBoNIiMjMSSJUsA\nAElJScjOznbYJ4VCIbSNHIMLg6bzVKvV8PDwECVu74tDdXV1oro//vgj/P39madyNm7cCL1eD41G\ng1mzZqGjowNVVVWIfuAsu4MHDyI1NRW5ubnYsWOHqBNXq9UgIuj1epFsg8EALy8v5jp9BQsfFRUV\nUKvVaG5ufnB2AXfv3sXQoUNtvqhly3cWmY7o/OKLL4TpR0fjVFFRgYCAADQ1NYn01NbWIiQkRBYO\nWTgOCwuDSqVCZWWlaDr4+vXriIiIYP6Jwp4vrLlvL3Zy8MUSWzn0yIG+xkWOuGZkZCArKwvJyclI\nTk7GggULhC8czzzzjEP+GI1G3Lt3z+aadg4+bSsgKiqKMjIyRNc0Gg2Fh4eTVqslk8lEOTk55Orq\navPVcWvTPUFBQbRq1SoyGo3U2dlJL7zwAk2dOlWYXm1sbCR3d3eKj4+n06dPi/7q6uqoq6uLAgMD\nKTExkXQ6HZnNZiooKCAXFxc6f/68MO0sVcfX15eSkpIsdFy8eFGw9fDhw5SXl2eTIyk+enp66Kmn\nnqKEhATq7u4mg8FAWVlZpFKp6MqVK0REVFJSQrt372bynUUmi85epKamUnR0tM2lGfbi1NXVRX5+\nfvTSSy+RTqcjg8FAmzdvJnd3d2pqamKe+pPikCXnkpKSaPLkyaTVaqmnp4eWLl1KQUFBVqe7rdnB\n4ouUHSx5y8KXvZxjiS2LHqm8ZuGMRYZUXKRksMTVEV/sTdtKtQXffvstAaDGxkandHP0LwZV57lt\n2zaLtWLt7e2k0WjIxcWFPD09ycfHhz7++GOHHrpLly7R2LFjydPTk1xdXWn27Nl048YNoTwnJ4cA\nWP3rfSP06tWrNGXKFFKpVOTh4UE+Pj5UXFws0iNVx9fX16qOsLAwoU5CQgJNnDjRpn8sfFy9epXC\nwsJIpVKRm5sbjRkzhk6dOiVqIIKCgph9Z5EpVf5gfFJTU636JhWn3joTJ04U9AQEBFjVY6/zlOKQ\nheP29naKiYkhhUJBrq6uFBISQtXV1Q7ZIeWLlB0ssWPhSyrnWGIrpUdKBwtnLDKk4sLyfEnF1RFf\n7HWeUm3B7t27KTQ01GndHI9R56nVasnd3V0Y8TyImzdvUm1tLen1eqdkm0wmamhooJaWlj7ZePPm\nTWpsbBRGQ87WsQW9Xk8xMTFMdkjxodVqqbm5WfYY2ZPZV52scdJqtVRXV2fxcoejsbTHIQvHzc3N\n1NDQ0Cc7pHzpa+5L6WDNOZbY2tLDqkOOZ8NeXFhl2IurHL6wYPr06RajzIHSzSGNQXeqyvr166FU\nKvHWW289ltPoW7duxbhx4/CnP/2J/6bA8ZvJOTl0/JZkSOHy5ct48cUXUV9fL9o/m7cPgweDrvPU\n6XSYNm0aysvLmdcm/pZgNBoxZMgQnpkcv6mck0PHb0mGFObMmYMNGzaIdjvi7QPvPCVx69YtqFQq\nDB8+nEeIg4PjsYLZbEZDQwPGjx/PyeCdJwcHBwcHx28H/DBsDg4ODg4O3nlycHBwcHDwzpODg4OD\ng4N3nhwcHBwcHLzz5ODg4ODgeIww6BYMERHmz5+PnJwchIaGAgC++uor5OXlobW1FZMmTcLmzZst\nNksuKipCWVkZ9Ho9Fi1ahLS0NNEpD/bKa2pqkJeXZ9We6dOnY/ny5Uw6TCYTioqKcOrUKXR3dyM8\nPByZmZkYMWIEAGDx4sWYP38+UlNTZeFq79696OzsxMaNGy3KiouLUVJSgvv37yM6Ohrp6enCYmuT\nyYTCwkKUlZXBaDRiwYIFWL16td2TVFpaWrB161aL65mZmQgKCmKOk706jtrV1NSElStXoqCgAGPG\njGG2UypOrBzbs0MqBiwypPhgyVsWPqTAGheW+MuR21IoLS3F/v37odPpMG/ePKxfvx4qlWrA7mfh\n3F5bYDabERsbi/z8fDz99NO8l+IjTzbs2bMHarVa6Dg///xzPPfccwgICEBaWhpqamowa9YsdHV1\nCfe8/vrrWLduHaZOnYr4+Hjs2rULKSkpzOUGgwG3b98W/TU2NmLfvn1oaGhgkgEAr732Gv72t79h\n5syZSExMxJkzZxAREQGdTgcAOHv2LK5fvy4LTyUlJVi3bp1g34PYsWMHVq1ahaioKCxZsgRFRUWI\nj48Xyjds2ICtW7ciLi4O8fHx2LZtG1avXm1X38WLF/H+++9b8NR7cDVLnKTqOGKXyWRCcnIyTp8+\nLdIhZSdLnFg4lrJDKgYsMqT4YMlbFj6kwBIXlvjLkdtSOHToEF599VXhOd25cyfS0tIG7H5Wzu21\nBUqlEunp6VixYgXMZjPvpQYrBtNegT09PeTj40OVlZWikzbeeOMN4fO9e/fI29ubSktLiYiovr6e\nFAoFffDBB0KdpqYmcnV1pXPnzkmW28LixYspMjKSDAYDk4yWlhYCQCdPnhTqdHZ2klqtpsLCQmEz\n6L4chk1EdOfOHVq7di25urqSj4+P1Q3Hg4KCaMuWLcLnc+fOEQD64YcfqK2tjVxcXOjYsWNC+ZEj\nR0ipVFJHR4dNvW+++abFpv0P67QXJ6k6jtqVnZ1N48aNs9h0W8pOljixcCxlh70YsMhwNk4P5i0L\nH1JgtYMl/nLkttS+yP7+/rR9+3bhWkVFBQGweQqTnPez5iBrWzBhwgQR7xyDC4Nq5Hnw4EEMGzZM\nOMuwuroa9fX1WLNmjVBHrVbjzp07WLhwIQDg6tWrICIsWrRIqBMYGIjg4GCcOnVKstwajhw5guPH\nj+O9996DSqVikqFUKpGfn49Zs2YJdby8vDBs2DC0tLTIxtGJEydQVVWF8+fPIywszGods9ks+pbb\nO7VsMBjg4+ODuro6aDQa0chHoVDA3n4ZVVVVmDZtGsxmM9rb20VlLHGSquOIXZWVlXj77beRn5/v\nkJ2scWLhWMoOezFgkeFMnB7OWxY+pMBiB0v85cpte/juu++g1WpFW9pFRkbC19cX5eXl/X4/aw6y\n4uWXX8auXbv4CI+PPKXx/PPP0/r164XPH374IanVajp79ixFRUXRk08+STExMVRVVSXUKS8vJwDU\n2toqkjVq1ChKSUmRLH8YP/30E40ePVp0HJejMnpRVlZGAOjChQuyjTx7enokj7o6dOgQDR8+nLKz\ns6mgoIBCQkKs2llbW0v79u0jX19f2rRpk129gYGBFBERQWq1mgCQv78/ffLJJ8xxYqnDYldXVxcF\nBwfTgQMHrB73ZM9O1jixcCxlB0sMpGQ4EidreessH7Zgyw5HYtvX3LaH48ePEwC6f/++6PqMGTNo\n3bp1/X6/I5yztAVff/01KRQKamtr48M8PvK0j4qKCkyePFn43NHRAaPRiGXLliEtLQ2HDx/G0KFD\nMXv2bLS2tgIAIiIiMGLECGzatEn4pp+bm4sbN26gu7tbsvxhHDhwALdu3UJmZqZwzVEZvS9zpKSk\nYMWKFYiKipKNIw8PD8k6wcHBGD16NN5991288847aGtrQ2xsrEW9nTt3Ijc3F3q93u4m/DqdDlqt\nFn5+fvjmm2/Q2NgIjUaDV155BVeuXGGKE0sdFrvS09MRGhqKZcuWOWwna5xYOLZnB2sMpGQ4Eidr\neesMH87Y4Uhs+5rb9qDT6aBUKuHu7i667unpafM5lfN+uTnvbQsrKir4KI+PPG2jq6uLANBnn30m\nXMvLyyMAdPToUdE3bD8/P/r73/8uXPvss89IrVaTt7c3BQQE0IwZM2ju3Ln05z//man8QYSGhlq9\n7oiML7/8kry9vWnp0qWiE+jlGHk+CGvfztva2uiJJ56gjIwM4TzRsrIyUiqVIm4f9k2hUIh4fhg/\n//yz6GxDk8lEwcHBtGbNGqY4scbSnl2lpaXk5+dHt2/fJiLrBw3bs5M1TlIcS9nBEgMWXxyJk628\ndYQPVjxshzOxdSa3pfDRRx8RAIszOGfOnElr167t9/sd4Zy1LVCr1bRv3z4+zOMjT9h9axEAFAqF\ncG3kyJEAgBkzZgjX3NzcMGnSJNTX1wvX4uLiUF9fj0OHDqG4uBgXLlzA3bt3ERAQwFTei2vXrqG6\nuhqJiYkW9rHKKC4uxty5c7F8+XIUFxfbXf7RHzhz5gy6u7uxZcsWgUuNRoNnn30WR48etXpPXFwc\nwsPDbf4GDABDhgwRLctRKpWYMGECtFotU5xYY2nPruzsbBARNBoNIiMjsWTJEgBAUlISsrOzJe2U\nK05SdrDEgMUX1jjZy1tWPhzBw3Y4E9v+QO+ymNu3b4uut7W1CTb25/39wblCoRDaRo7BhUHTearV\nanh4eIgSt/fFobq6OlHdH3/8Ef7+/sI0ycaNG6HX66HRaDBr1ix0dHSgqqoK0dHRkuUP4osvvhCm\nmx6eimGRcfDgQaSmpiI3Nxc7duwQfREYSB6JCHq9XnTdYDDAy8sLFRUVUKvVaG5ufnD2AXfv3sXQ\noUNtTqcHBASgqalJdE9tbS1CQkKY4iRVh8WujIwMZGVlITk5GcnJyViwYIHQmD/zzDOSdsoVJyk7\npGLA6gtrnGzlLSsfUj+lSNnBEv+BQFhYGFQqFSorK0VTytevX0dERES/3y8X570wGo24d++e02tl\nOR6jF4aioqIoIyNDdE2j0VB4eDhptVoymUyUk5NDrq6uolfHg4KCaNWqVWQ0Gqmzs5NeeOEFmjp1\nqjBlJlXei9TUVIqOjra5FMOejMbGRnJ3d6f4+Hg6ffq06K+urk6YqklKSrIov3jxoqDn8OHDlJeX\n5/TUVldXFwUGBlJiYiLpdDoym81UUFBALi4udP78eerp6aGnnnqKEhISqLu7mwwGA2VlZZFKpaIr\nV64QEVFJSQnt3r1bJNPPz49eeukl0ul0ZDAYaPPmzeTu7k5NTU3McbJXh8Wuh/HwVCeLnSxxcnT6\n0Jod9mLAIsMRPmzlLQsfUjnHaodU/B3Ja1u8s8hISkqiyZMnk1arpZ6eHlq6dCkFBQUJ0/JSMqTu\nl5LByjlLW/Dtt98SAGpsbHSqfeDoXwyqznPbtm0W66Pa29tJo9GQi4sLeXp6ko+PD3388ceiOpcu\nXaKxY8eSp6cnubq60uzZs+nGjRvM5Q8+sKmpqVZtk5KRk5NDAKz+9b4B6evra7U8LCxMkJOQkEAT\nJ07s0+9CV69epSlTppBKpSIPDw/y8fGh4uJiUXlYWBipVCpyc3OjMWPG0KlTp0QNSFBQkIX/EydO\nFO4JCAgQ3cMSJ6k6UnZJdTgsdrLEqa+dJ0sMWGWw8CGVt/b4YMk5FjukYutIXtvinUVGe3s7xcTE\nkEKhIFdXVwoJCaHq6mpmGVL3s8hg4ZylLdi9ezeFhoY6zAHHY9h5arVacnd3tzoCuHnzJtXW1pJe\nr7d6r8lkooaGBmppaXGqnAVyyJCCXq+nmJgYWWTdvHmTGhsbLUbYD/Ld3NzscIzq6uosXqpgjRNL\nHWfsctTOgYJUDFh96U8+WHOOxQ5bsZUjrx2R0dzcTA0NDRb+ssqwdb+jfPUlB6dPn24xypSzfeDo\nGxREdlbG/wpYv349lEol3nrrrcdyGn3r1q0YN24c/vSnP/HfFDh+Mzknh47fkgwpXL58GS+++CLq\n6+tF+yHz9mHwYNB1njqdDtOmTUN5ebndtYe/VRiNRgwZMoRnJsdvKufk0PFbkiGFOXPmYMOGDaLd\njnj7wDtPSdy6dQsqlQrDhw/nEeLg4HisYDab0dDQgPHjx3MyeOf5ALRfAGdSAWMPZ5+Dg4Pj14DX\nWCDu/wVc+QDFWQz8+P//OwF0aznzHBwcHL8W9B1AezXgN4tz8ch0nr34w2tAaAaPAAcHB8dA4uTz\nQGc9flkdw/HodZ5u3oB6HI8ABwcHx0BC6co5kINGTgEHBwcHBwfvPDk4ODg4OPoVg27BEBFh/vz5\nyMnJgUKhQF5entV606dPx/Llyy2u7927F52dndi4caNwraWlBVu3brWom5mZiaCgIOFzcXExSkpK\ncP/+fURHRyM9PV1YoGwymVBYWIiysjIYjUYsWLAAq1evtjiNo7S0FPv374dOp8O8efOwfv16qFQq\nAMDixYsxf/58pKamysJVU1MTVq5ciYKCAowZM0a4LmWryWRCUVERTp06he7uboSHhyMzMxMjRoyw\nq88WPzU1NcxxsscPABQVFaGsrAx6vR6LFi1CWlqa6IQKFv/t5QJrna+++gp5eXlobW3FpEmTsHnz\nZtEG3Y5waM+OgeSDBVKcsXDaVx32IMXXQMmwlx9Sz7nZbEZsbCzy8/Px9NNP817oUcWA72l0YQPR\nPhBd+qvV4ry8PFq8eDEREV2+fJkSEhJEf88//zwBoL/+1fL+o0ePkkqlstgT89ixY+Tq6moh6/vv\nvxfqbN++nYYOHUrbt2+n/fv30/jx42n+/PlC+V/+8hf6/e9/T3v27KF9+/bRqFGjaMWKFSI9Bw8e\nJDc3N8rOzqa8vDzy9fWllJQU0X6Wcp3naTQa6Y9//KPVMyClbE1LS6ORI0fSrl27aP/+/TRjxgwa\nN24cdXZ22tRnjx/WOEnx85e//IU8PT0pOzubCgsLKSQkhJKTkx32314usNQ5efIkqVQqyszMpA8/\n/JBmz55N48ePJ51O5zCH9uwYxcfh9wAAIABJREFUSD5YIMUZC6d91WEPUnwNlAyp/GB5zktLS+mZ\nZ575dbaPPPz0L23wjTN8j71Ham9bO51nT08P+fj4UGVlpc3bFy9eTJGRkWQwGIRrd+7cobVr15Kr\nqyv5+PhYPJhvvvmmxYbzDyMoKIi2bNkifD537hwBoB9++IHa2trIxcWFjh07JpQfOXKElEoldXR0\nCPve+vv70/bt24U6FRUVBEA4WULOzjM7O5vGjRtn0VhK2drS0kIA6OTJk0J5Z2cnqdVqKiwsdIof\nljhJ8VNfX08KhYI++OADobypqYlcXV3p3LlzzP5L5QJLnaCgIHrjjTeEz/fu3SNvb28qLS0lImLi\nUErHQPHBAilbWTjtqw6WfaWlnq+BkMGSH6zP+YQJE0TPKe88Hy0Mqt88Dx48iGHDhgnnAz6MI0eO\n4Pjx43jvvfdE0ywnTpxAVVUVzp8/j7CwMIv7qqqqMG3aNJjNZrS3t9ucSvn555///WPw/02NGQwG\n+Pj4oK6uDhqNRjRtp1Ao0LvHxHfffQetVivaTisyMhK+vr4oLy+XlafKykq8/fbbyM/PtyiTslWp\nVCI/Px+zZv17fZeXlxeGDRuGlpYWmzrt8cMSJyl+rl69CiLCokWLhPLAwEAEBwdbHP5sz3+pXJCq\nU11djfr6eqxZs0a4plarcefOHSxcuFDwXYpDKTsGig8WSNnKwmlfdUhBjudLDhks+cGKl19+Gbt2\n7eLTn/w3z77j2LFjFns59kKv1yMjIwOvv/66xe8ECQkJSE5Otin36tWraG1thbe3Nzo7O+Hv74//\n/u//xosvvijU+a//+i+8/vrr8PDwgK+vL3bu3ImUlBT84Q9/AACMG/fLsppr167hyy+/xJtvvomM\njAx4e3sDAOrr6wEAY8eOFekeM2YMrl+/LhtH3d3dSEpKwq5du6zu/atQKCRtfe211ywatubmZsyZ\nM8emXil+pOIkxc+ECRME/5544gmhvKOjA//7v//L7L9ULkjV+Z//+R+o1Wo0NTXh1VdfxbVr1/Af\n//Ef2LVrl9Dojxw5UpJDKTsGig8WSNnKwmlfdUhBjudLDhks+cGKBQsW4B//+Adu3bqF3/3ud7w3\nesQwqEaeFRUVmDx5stWyAwcO4NatW8jMzLQo8/DwsClTp9NBq9XCz88P33zzDRobG6HRaPDKK6/g\nypUrQr3g4GCMHj0a7777Lt555x20tbUhNjbWQt7OnTuRm5sLvV4vaqx0Oh2USiXc3d1F9T09PdHd\n3S0bR+np6QgNDcWyZcsk69qy9UHU1NQgJSUFK1asQFRUlE1ZrPzYipMUPxERERgxYgQ2bdokjHBz\nc3Nx48YNEX9S/tvLBZY6HR0dMBqNWLZsGdLS0nD48GEMHToUs2fPRmtrKzOHUnYMFB8skLKVhdO+\n6pCCHM+XHDKcyQ9b6G3rKioqeE/ER559G1HpdDr4+vpaLc/Ly8PSpUttltuCl5cX7t+/D6VSKUw1\n7tmzB//6179QVFSEKVOm4NatW5gzZw5Wr16N7du3Q6FQ4MSJE1i4cCG8vb1Fo+HCwkIAQFlZGRYu\nXIiRI0ciISEBKpUKZrMZZrNZ9Dak0Wi0eFidxaeffoqysjLU1NQw1bdlay/Onj2LF198EfPmzcPe\nvXttynGEH1txkuJn2LBh2L9/P5KSkvDpp59i6NCh8Pf3x9y5c+Hl5eWU/86ip6cHO3fuFLiaOXMm\nxo4di6KiImRlZYnqsnL4MB4lPgYD5Hi+5HpGHckPqS8UXl5eDne6HHzkKYLJZBKmHR/GtWvXUF1d\njcTEROe+IQwZInpYlEolJkyYAK32lz12z5w5g+7ubmzZskXQr9Fo8Oyzz+Lo0aNWZcbFxSE8PFz4\n/an3NfXbt2+L6rW1tWHkyJGycJSdnQ0igkajQWRkJJYsWQIASEpKQnZ2ts37HrYV+GXZydy5c7F8\n+XIUFxdbLLl5EKz82IsTCz9xcXGor6/HoUOHUFxcjAsXLuDu3bsICAjok/+OoNeWGTNmCNfc3Nww\nadIkYdrPGQ4fVT4GC+R4vuSQ4Uh+sEChUAhtHwfvPJ2CWq2Gh4eHRWIDwBdffCFMjTgzFRwQEICm\npibhGhGhtrYWISEhgm4igl6vF91rMBjg5eWFiooKqNVqNDc3i2TcvXsXQ4cOBQCEhYVBpVKhsrJS\nNMVz/fp1REREyMJRRkYGsrKykJycjOTkZCxYsEBoZJ955hnBXylbDx48iNTUVOTm5mLHjh1Wv7A8\nHBt7/LDESYofnU6HjRs3Qq/XQ6PRYNasWejo6EBVVRWio6OZ/e8rel9Wq6urE13/8ccf4e/vL3x2\nlMNHlY/BAjmeLzlksOYHC4xGI+7duydaP8zxCGEwLVWJioqijIwMi+upqakUHR3NJD42Nlb0GnxX\nVxf5+fnRSy+9RDqdjgwGA23evJnc3d2pqalJqBMYGEiJiYmk0+nIbDZTQUEBubi40Pnz56mnp4ee\neuopSkhIoO7ubjIYDJSVlUUqlYquXLki6EpKSqLJkyeTVqulnp4eWrp0KQUFBZHRaBReYU9KSqLT\np0+L/i5evPjvt8gPH6a8vDwmX7///nuLpQlStjY2NpK7uzvFx8db2FFXV0dERCUlJbR7924Rh/b4\nYY2TFD9BQUG0atUqMhqN1NnZSS+88AJNnTqVzGYzs//2coG1jkajofDwcNJqtWQymSgnJ4dcXV2F\n5QwsHLLYMRB8OJJPLJzZKndEj7MypPiSQwaLH1L5wfKcExF9++23BIAaGxudihVfqsLXeQrYtm2b\n1fWYsbGxlJqa6vSDeenSJZo4cSKpVCpyc3OjgIAAOnXqlKjO1atXacqUKaRSqcjDw4N8fHyouLhY\nVB4WFibIGDNmjIWM9vZ2iomJIYVCQa6urhQSEkLV1dWiTRLwy1EGor+wsDChTkJCAk2cONHpzlPK\n1pycHKs2AKD//M//FBqYoKAgh/hhiZMUP5cuXaKxY8eSp6cnubq60uzZs+nGjRsO+9/XzrO9vZ00\nGg25uLiQp6cn+fj40McffyyUs3DIYsdA8OFIPvWl83REj7MypPiSQwaLH1L5wfKcExHt3r2bQkND\nnY4V7zx55ylAq9WSu7u71W/vckCr1VJdXZ3dXT1u3rxJjY2NNr/da7Vaam5utqunubmZGhoanNo9\nRK/XU0xMjGz+StnqKKT4YYE9fkwmEzU0NFBLS8uv/nDcvHmTamtrSa/X96ue/uRDznzqbz2sMuzx\n1VcZjvjR1/yYPn26aKQ5ULHinac8GFTrPEeNGoWVK1ciPz8fb731Vr/IZ30hoC8yel/ocAb//Oc/\nZdv7lsVWZ1+o6Qvs8aNUKi3W4f1aGDlypGwve/1afMiZT/2th1WGPb76KsMRP/qSH5cvX8aNGzdE\n+z4PVKw45IGCerfIGShUpAM1bwPhfwWm/8OiWKfTYdq0aSgvL3d60fejDKPRiCFDhvDM5Hik8kkO\nPYNBxkDxNWfOHGzYsEG0zGvAnv0jfwDufg8sOAP4RfOHxEkMulbay8sL58+fd/iUg99MQHjHyfEI\n5pMcegaDjIHgy2w2Y+/evRg/fjx/9nnnKS/4VlUcHBy/VSiVSouOk+MRjCOngIODg4ODg3eeHBwc\nHBwcvPPk4ODg4ODgnScHBwcHBwfvPDk4ODg4OB4fDLq3bYkI8+fPR05ODhQKBfLy8qzWmz59umiB\ncS/27t2Lzs5ObNy4UbjW0tKCrVu3WtTNzMxEUFCQ8Lm4uBglJSW4f/8+oqOjkZ6eDjc3NwC/nPpS\nWFiIsrIyGI1GLFiwAKtXr7Z5kkZTUxNWrlyJgoICjBkzBgCwePFizJ8/X7aF0NZ09NpaVFSEU6dO\nobu7G+Hh4cjMzMSIESMsZNTU1DjMsTW9rPzY41gqjiy+scb6q6++Ql5eHlpbWzFp0iRs3rzZ6gbd\ntuwAgNLSUuzfvx86nQ7z5s3D+vXrhSVWLHyw2mrPDhYZrL6ywFk+WMrlskMKctjRFxksz5xUW2E2\nmxEbG4v8/HzRofMcj/HIc8+ePVCr1QgNDYXBYMDt27dFf42Njdi3bx8aGhos7i0pKcG6dessyi5e\nvIj333/fQlbvIcMAsGPHDqxatQpRUVFYsmQJioqKEB8fL5Rv2LABW7duRVxcHOLj47Ft2zasXr3a\nqg8mkwnJyck4ffo0urq6hOtnz55lPrFeCrZ0AMBrr72Gv/3tb5g5cyYSExNx5swZ4aSOh+Eox7b0\nsvAjxbFUHFl8Y4n1559/jueeew4BAQFIS0tDTU0NZs2aZcGjPTsOHTqEV199FVOnTkV8fDx27tyJ\ntLQ0h/hgsVXKDikZrL6yoC98SJXLZYcU5LCjrzJYnjmptkKpVCI9PR0rVqyA2WzmPdmvNNIbNHvb\n9vT0kI+PD1VWVtq8ffHixRQZGUkGg0G4dufOHVq7di25urqSj4+PxabTb775ptUN5x9EUFAQbdmy\nRfh87tw5AkA//PADtbW1kYuLCx07dkwoP3LkCCmVSuro6LCQlZ2dTePGjbPYpNvX15eysrJkodGW\njpaWFgJAJ0+eFK51dnaSWq2mwsJCJtnWOLanl5UfexyzxJHFN9ZYv/HGG8Lne/fukbe3N5WWljLZ\nYTKZyN/fn7Zv3y5cq6ioIABUW1vLzIeUrVJ2sMiQ8pUFfeVDqlwuO6Qghx1y+SL1zLG2FRMmTBDl\nGd/bduAwqEaeBw8exLBhw4Qz8x7GkSNHcPz4cbz33nuiKZITJ06gqqoK58+fR1hYmMV9VVVVmDZt\nGsxmM9rb221Ogzz4jb/38GyDwQAfHx/U1dVBo9GIRmAKhQIP725YWVmJt99+G/n5+f3Gkz0dSqUS\n+fn5mDVrlnDNy8sLw4YNQ0tLi6RsWxzb08vKjz2OWeLI4ptUrKurq1FfX481a9YI19RqNe7cuYOF\nCxcy2fHdd99Bq9WKtlaLjIyEr68vysvLmfmQslXKDikZLL6yoK98SJXLZYcU5LBDLl9YnzkpvPzy\ny9i1axcfBT7uI8/nn3+e1q9fb/W2n376iUaPHm31yKeenh67xx0FBgZSREQEqdVqAkD+/v70ySef\niOocOnSIhg8fTtnZ2VRQUEAhISGUkpJioau2tpb27dtHvr6+tGnTJlFZV1cXBQcH04EDB6weDyXH\nyFNKhzWUlZURALpw4YLdevY4ZtVrjx8pjqXiyOKbVKw//PBDUqvVdPbsWYqKiqInn3ySYmJiqKqq\nitmO48ePEwC6f/++6PqMGTNo3bp1zHxI2crChz0ZLL6yoK98OMJXX+yQghx2yOWL1DPH2lZ8/fXX\npFAoqK2tjY88H+eRZ0VFBSZPnmy17MCBA7h16xYyMzMtyjw8PGzK1Ol00Gq18PPzwzfffIPGxkZo\nNBq88soruHLlilAvODgYo0ePxrvvvot33nkHbW1tiI2NtZC3c+dO5ObmQq/XW2xcn56ejtDQUCxb\ntqzfOHJUR01NDVJSUrBixQpERUXZrWuPY1a99viR4theHFl8Y4l1R0cHjEYjli1bhrS0NBw+fBhD\nhw7F7Nmz0draymSHTqeDUqmEu7u76Lqnpye6u7uZ+GCxlcUOezJYfGVBX/lwhK++2CEFOeyQyxeW\nZ44Fve1lRUUFHwkOMAbN27a9D5mvr6/V8ry8PCxdutRmuS14eXnh/v37UCqVwjThnj178K9//QtF\nRUWYMmUKbt26hTlz5mD16tXYvn07FAoFTpw4gYULF8Lb21s0RVNYWAgAKCsrw8KFCzFy5EgkJCTg\n008/RVlZGWpqavqNI0d1nD17Fi+++CLmzZuHvXv3Sta3xbEjem3x4wjHzvrGEmsA6Onpwc6dO5GQ\nkAAAmDlzJsaOHYuioiJkZWVJ6lapVDCbzTCbzYIe4JdTMR5uVG3xwWprX3J74sSJffaVBVJ8OMJX\nf0IOO+T2xdl27cEvFF5eXg59GeKQB4Nm5GkymQAACoXCouzatWuorq5GYmKic98QhgwRJbpSqcSE\nCROg1WoBAGfOnEF3dze2bNki6NdoNHj22Wdx9OhRqzLj4uIQHh6OU6dOAQCys7NBRNBoNIiMjMSS\nJUsAAElJScjOzpaFI0d0FBcXY+7cuVi+fDmKi4ttLqlh4dgZ3x7mxxmObcGeb1Kx7j1/ccaMGUId\nNzc3TJo0CfX19Uz6e5d53L59W3S9ra3N5vmOD/PBYmtfc1sOX+Xgwxm++gNy2CGnL31t13qhUCiE\n9pPjMew81Wo1PDw8LJISAL744gthusmZqeCAgAA0NTU9+DsvamtrERISIugmIuj1etG9BoMBXl5e\nqKiogFqtRnNzs0jG3bt3MXToUABARkYGsrKykJycjOTkZCxYsEBoNJ955hlZOGLVcfDgQaSmpiI3\nNxc7duyw+oXEEY6l9LLwI8UxK+z5xhLr3pfR6urqRHJ//PFH+Pv7M9kQFhYGlUqFyspK4VpHRweu\nX7+OiIgIJj5YbO1rbsvhqxx8SJUPFOSwQ05f+tKuPTjivXfvntPrdjn6gMH0wlBUVBRlZGRYXE9N\nTaXo6Ggm8Q+/SNDV1UV+fn700ksvkU6nI4PBQJs3byZ3d3dqamoS6gQGBlJiYiLpdDoym81UUFBA\nLi4udP78eerp6aGnnnqKEhISqLu7mwwGA2VlZZFKpaIrV65YtcPWC0NJSUl0+vRp0d/Fixf//Vv+\n4cOUl5fH5Ks1HY2NjeTu7k7x8fEWeurq6oiIqKSkhHbv3u00xw/rZeFHimOpOLL4xhJrIiKNRkPh\n4eGk1WrJZDJRTk4Oubq6Wl1qYOvFlKSkJJo8eTJptVrq6emhpUuXUlBQEBmNRmY+WGy1ZweLDBZf\nHck5Z/hgKZfLDikZctghJYPVD3vPHEtbQUT07bffEgBqbGxk181fGJIFg6rz3LZtm9U1a7GxsZSa\nmur0Q3Xp0iWaOHEiqVQqcnNzo4CAADp16pSoztWrV2nKlCmkUqnIw8ODfHx8qLi4WFQeFhYmyBgz\nZoyFDJbOE4DFX1hYmFAnISGBJk6c6HTnmZOTY1UHAOGNvqSkJAoKCnKaY2t6WfiR4lgqjiy+scS6\nvb2dNBoNubi4kKenJ/n4+NDHH3/sUCPd3t5OMTExpFAoyNXVlUJCQqi6utohPlhslbJDSgaLr47k\nnLN8SJXLZYeUDDnskJLB6oe9Z46lrSAi2r17N4WGhjqmm3eev73OU6vVkru7uzBCkhtarZbq6urI\nZDLZrHPz5k1qbGwks9lsU0Zzc3O/0aPX6ykmJuaRTSgWfqQ4HshY19bWkl6vd1pPc3MzNTQ02NTD\nwgeLrX31156vcuacFB/2yuWwg1WGHHbYkjGQz/D06dNFI00m3bzzlAWDam/bUaNGYeXKlcjPz8db\nb73VL/KlIPWjP4uMvuCf//ynbHvf/lox7CvHA2lHX20JCAjosx1y5JSUDHu+yplzUnzYK5fDDlYZ\ncthhS8ZAPcOXL1/GjRs3RPtPP+rtx6MEBdFDW+T0NyrSgZq3gfC/AtP/YVGs0+kwbdo0lJeXW6wT\nfBxgNBoxZMgQnpkcj13OyWHHYJAxUHzOmTMHGzZsEC3zYtJ95A/A3e+BBWcAv2j+ADiJQddKe3l5\n4fz5806ftvDIB4R3nByPac7JYcdgkDEQfJrNZuzduxfjx4/n7QfvPP+N3/3udzwyHBwcHDagVCot\nOk6OAY4Bp4CDg4ODg4N3nhwcHBwcHLzz5ODg4ODg4J0nBwcHBwfHI4xB98IQEWH+/PnIycmBQqFA\nXl6e1XrTp08XrW/qxd69e9HZ2YmNGzcK11paWrB161aLupmZmQgKChI+FxcXo6SkBPfv30d0dDTS\n09Ph5uYG4JeN6wsLC1FWVgaj0YgFCxZg9erVFhuuf/XVV8jLy0NraysmTZqEzZs3C/tOLl68GPPn\nz5dtHVZTUxNWrlyJgoICjBkzRrjOaqstvqRg7R6TyYSioiKcOnUK3d3dCA8PR2ZmJkaMGCG6t7S0\nFPv374dOp8O8efOwfv164c1qFhksvhUVFaGsrAx6vR6LFi1CWlqaaPN0KT1S+VJTU8OUl/bySS5O\nWXNbCvY4Y41tX/KHFfbyZyBl2Iut1HNuNpsRGxuL/Px8PP3007wX4iNPebBnzx6o1WqEhobCYDDg\n9u3bor/Gxkbs27cPDQ0NFveWlJRg3bp1FmUXL17E+++/byHr559/Furs2LEDq1atQlRUFJYsWYKi\noiLEx8cL5Rs2bMDWrVsRFxeH+Ph4bNu2DatXrxbp+fzzz/Hcc88hICAAaWlpqKmpwaxZs9DV1QXg\nl2O0rl+/LgtPJpMJycnJOH36tCDfEVvt8WUPtu557bXX8Le//Q0zZ85EYmIizpw5g4iICOh0OqHO\noUOH8Oqrr2Lq1KmIj4/Hzp07kZaW5pAMKd9ef/11rFu3TtCxa9cupKSkOGSrVL6w5KVUPsnFKUtu\nS0GKMxY7+po/LJDKn4GSIRVbqedcqVQiPT0dK1asgNls5r3Qo4rBtD1fT08P+fj4UGVlpc3bFy9e\nTJGRkWQwGIRrd+7cobVr15Krqyv5+PhY7Hn55ptvWt0z90EEBQXRli1bhM/nzp0jAPTDDz9QW1sb\nubi40LFjx4TyI0eOkFKppI6ODpGMN954Q/h879498vb2ptLSUmG/SpbT4VmQnZ1N48aNs9hjlsVW\nKb6swd49LS0tBIBOnjwpXOvs7CS1Wk2FhYVERGQymcjf35+2b98u1KmoqCAAVFtbyyRDyrf6+npS\nKBT0wQcfCOVNTU3k6upK586dY7aVJV+k8tJePsnFqbO2Pggpzljt6Ev+sEAqfwZKBktsWZ/zCRMm\niHJ5wMC355MFg2rkefDgQQwbNkw4SulhHDlyBMePH8d7770nmmY5ceIEqqqqcP78eYSFhVncV1VV\nhWnTpsFsNqO9vd3mVMqD39Z7p6wMBgN8fHxQV1cHjUYjGvkpFAr0btBUXV2N+vp6rFmzRqijVqtx\n584dLFy4UFaeKisr8fbbbyM/P9+ijMVWKb6swd49SqUS+fn5mDVrlnDNy8sLw4YNQ0tLCwDgu+++\ng1arFe2GEhkZCV9fX5SXlzPJkPLt6tWrICIsWrRIKA8MDERwcLBwjiaLHpZ8kcpLe/kkF6fO2Pow\npDhjtaMv+cMCqfwZKBmssWXByy+/jF27dvERHB959n3k+fzzz9P69eut3vbTTz/R6NGjhdMzHh6x\n2jttITAwkCIiIkitVhMA8vf3p08++URU59ChQzR8+HDKzs6mgoICCgkJoZSUFAtdtbW1tG/fPvL1\n9aVNmzYJ1z/88ENSq9V09uxZioqKoieffJJiYmKoqqpKdFJCX0eeXV1dFBwcTAcOHLB6ugmLrVJ8\nWYOj95SVlREAunDhAhERHT9+nADQ/fv3RfVmzJhB69atY5Ih5Vt5eTkBoNbWVlHdUaNGWY2lLT0s\n+SKVlyz51FdOHbXVGpzhzF5c5Mqfh+FM/vSHDJbYsj7nX3/9NSkUCmpra+MjTz7y7BsqKiowefJk\nq2UHDhzArVu3kJmZaVHm4eFhU6ZOp4NWq4Wfnx+++eYbNDY2QqPR4JVXXsGVK1eEesHBwRg9ejTe\nffddvPPOO2hra0NsbKyFvJ07dyI3Nxd6vV60925HRweMRiOWLVuGtLQ0HD58WDjotrW1VTaO0tPT\nERoaimXLlknWtWWrPb5swZF7ampqkJKSghUrViAqKkqIg1KphLu7u6iup6cnuru7mWRI+RYREYER\nI0Zg06ZNwsggNzcXN27csKrDmh7WfJHKS5Z8koNTR2y1Bkc5k4qLHPlj6zl2JH/6S4YjbYUUetu6\niooKPorjI0/nR55dXV0EgD777DOrt4WGhtKf//xnSfHWvtX+/PPPomODTCYTBQcH05o1a4Tf0p54\n4gnKyMgQjskqKysjpVJp057PPvuMFAoFHT16lIiI8vLyCIDwuXdU4ufnR3//+99lGXmWlpaSn58f\n3b59m4hIcuRpy1YpvpzhuBdffvkleXt709KlS0UHDH/00UcEwOL4ppkzZ9LatWuZZLD49tlnn5Fa\nrSZvb28KCAigGTNm0Ny5c63mji09UvkilZfO5JMznDpqqz0OWThzJC7O5o8tOJI//SmDJbaOPOdq\ntZr27dvHR5585Nm3t0cBQKFQWJRdu3YN1dXVSExMdEr2kCFDREsVlEolJkyYAK1WCwA4c+YMuru7\nsWXLFkG/RqPBs88+i6NHj1qVGRcXh/DwcOG3tN7jnmbMmCHUcXNzw6RJk1BfXy8LR9nZ2SAiaDQa\nREZGYsmSJQCApKQkZGdn27zvYVv7C8XFxZg7dy6WL1+O4uJi0fKR3uU6t2/fFt3T1tYmOirLngwW\n3+Li4lBfX49Dhw6huLgYFy5cwN27dy2Oj7KnRypfpPLSmXxyhlNHbJXiUIozR+MiN1jzp79lyBnb\n3vaut+3jeLQwaDpPtVoNDw8Pi8QGgC+++EKYAnVmKjggIABNTU0PjrZRW1uLkJAQQTcRQa/Xi+41\nGAzw8vJCRUUF1Go1mpubRTLu3r2LoUOHAoDwklNdXZ1Ixo8//gh/f39ZOMrIyEBWVhaSk5ORnJyM\nBQsWCI3fM888I/grZWt/4ODBg0hNTUVubi527Nhh8SUoLCwMKpUKlZWVoqnu69evIyIigkmGlG86\nnQ4bN26EXq+HRqPBrFmz0NHRgaqqKkRHRzPZypIvUnkplU9yceqIrfamMqU4k7JjIMCSPwMhQ67Y\nAr8cH3bv3j2hU+fg07ZOvzAUFRVFGRkZFtdTU1MpOjraqSmhrq4u8vPzo5deeol0Oh0ZDAbavHkz\nubu7U1NTk1AnMDCQEhMTSafTkdlspoKCAnJxcaHz589TT08PPfXUU5SQkEDd3d1kMBgoKyuLVCoV\nXblyRdCl0WgoPDyctFotmUwmysnJIVdXV+E1eF9fX0pKSqLTp0+L/i5evPjvGZXDh0Unw9uDtWlb\nVlvtTaGVlJTQ7t27mTnxCTpyAAAgAElEQVRubGwkd3d3io+Pt/Ctrq5OqJeUlESTJ08mrVZLPT09\ntHTpUgoKCiKj0cgkg8W3oKAgWrVqFRmNRurs7KQXXniBpk6dKkyxSelhyRepvJTKJ7k4ZbGVJZ/s\nccYaW0fy1ta0rZQMe/kjlwyp+1liy/KcExF9++23BIAaGxsd5pBP2/76GFSd57Zt26yuWYuNjaXU\n1FSnH8xLly7RxIkTSaVSkZubGwUEBNCpU6dEda5evUpTpkwhlUpFHh4e5OPjQ8XFxaLysLAwQcaY\nMWMsZLS3t5NGoyEXFxfy9PQkHx8f+vjjj0Vv4QGw+AsLCxPqJCQk0MSJE53uPFlttcdXUlISBQUF\nMXOck5Nj1S8AordQ29vbKSYmhhQKBbm6ulJISAhVV1c7JEPKt0uXLtHYsWPJ09OTXF1dafbs2XTj\nxg2HbGXJF6m8lMonuTiVspUln+xxxmqHI3lrq/OUkmEvf+SSweKHVGxZnnMiot27d1NoaKhTHPLO\nk3eeImi1WnJ3dxd9o5UTWq2W6urqLF4YeBA3b96kxsZGYaRiTUZzc7NdPTdv3qTa2lrS6/UO26jX\n6ykmJkY2f6Vs/TXQ3NxMDQ0NduPQF99MJhM1NDRQS0tLv+eLFKTyqb9zmzWf+sqZHHnLKsNe/vRV\nhiN+9DW206dPF4005Xz2eefZ/xhUe9uOGjUKK1euRH5+Pt56661+kS8FqRcHWGWwvoDwMP75z3/K\ntvcti62/Bh5+eUdu35RKJcaOHTso+HM2D+SylTWf+sqZHHnLKsNe/vRVhiN+9CW2ly9fxo0bN0T7\nc8v57HP0PxRE/7ftzEChIh2oeRsI/ysw/R9WX2CYNm0aysvLRWsTHxcYjUYMGTKEZybHI5VPcugZ\nDDIGiq85c+Zgw4YNot2OBuzZP/IH4O73wIIzgF80f0icxK/XSusaAe0XFpe9AFz6ZBtcfvoW0P7A\nA8LB8Qjk05DfiIyB4IuIcPCfyzBqlLuoDRywZ9/YzR+MR7Ot/r/X3K//P7/8WcEwHhcODo7fKBQA\nRgHAt7+2Ifw450er8wxcCLSeAwZ4tpiDg4OD4//gNhx4Mozz0JfvHgP+mycHBwcHB8cjDj5u5+Dg\n4ODg4J0nBwcHBwcH7zw5ODg4ODgGFQbdyggiwvz585GTkwOFQoG8vDyr9aZPny5aYNyLvXv3orOz\nExs3bhSutbS0YOvWrRZ1MzMzERQUJHwuLi5GSUkJ7t+/j+joaKSnp8PNzY1ZhslkQlFREU6dOoXu\n7m6Eh4cjMzMTI0aMAAAsXrwY8+fP79NCaJPJhMLCQpSVlcFoNGLBggVYvXq1cMpFTU2Nw5wBQGlp\nKfbv3w+dTod58+Zh/fr1UKlUIr22fGPR6ahd1uIo5b9cdrDmy1dffYW8vDy0trZi0qRJ2Lx5s7DJ\nt1ScHkZTUxNWrlyJgoICjBkzxiG+7NnBUu4IbMWFpY5Ujslthy3IYYccMoqKilBWVga9Xo9FixYh\nLS1NOCFHqq0wm82IjY1Ffn4+nn76ad6T8ZEnsGfPHqjVaoSGhsJgMOD27duiv8bGRuzbtw8NDQ0W\n95aUlGDdunUWZRcvXsT7779vIav38F8A2LFjB1atWoWoqCgsWbIERUVFiI+Pd0jGa6+9hr/97W+Y\nOXMmEhMTcebMGURERECn0wEAzp49i+vXr/eJnw0bNmDr1q2Ii4tDfHw8tm3bhtWrVwvljnIGAIcO\nHcKrr76KqVOnIj4+Hjt37kRaWpqojj3fWHQ6YpetOEr5L5cdLLH+/PPP8dxzzyEgIABpaWmoqanB\nrFmz0NXVxRSnh78QJCcn4/Tp08L9rHxJ2SFV7gjsxUWqDkuOyWmHLchhhxwyXn/9daxbt06QsWvX\nLqSkpAjlUm2FUqlEeno6VqxYAbPZzHuyX2mkN2jQ09NDPj4+VFlZabPO4sWLKTIykgwGg3Dtzp07\ntHbtWnJ1dSUfHx+LTafffPNNqxvOP3yyxJYtW4TP586dIwD0ww8/MMloaWkhAHTy5EnhWmdnJ6nV\naiosLBQ2jO7LYdhtbW3k4uJCx44dE64dOXKElEoldXR0OMTZg3ua+vv70/bt24VrFRUVBEA4DYbF\nN0d02qojFUdn/HfGDtZ8eeONN4TP9+7dI29vbyotLXXYzuzsbBo3bpzkwebWfLFnB0s5C6TiIlWH\nJcfkskNq/96+2iGHjPr6elIoFPTBBx8I15qamsjV1ZXOnTvnUFsxYcIEUZ5xDBwG1cjz4MGDGDZs\nmHA25sM4cuQIjh8/jvfee080RXLixAlUVVXh/PnzCAuzXLtUVVWFadOmwWw2o7293eY0yIMji97p\nE4PBwCRDqVQiPz8fs2bNEq55eXlh2LBhaGlpkYUfHx8f1NXVQaPRiEYtCoUCtlYc2eKsF9999x20\nWq1om7DIyEj4+vqivLzcKd+kdNqqIxVHR/131g6pWFdXV6O+vh5r1qwRrqnVaty5cwcLFy50yM7K\nykq8/fbbyM/Ptxt7a3ZK2SFVzgqpuEjVYckxueywBznskEPG1atXQURYtGiRcC0wMBDBwcEOH1j/\n8ssvY9euXXwU+LiPPJ9//nlav3691bKffvqJRo8eLToG6cERq73jjgIDAykiIoLUajUBIH9/f/rk\nk09EdQ4dOkTDhw+n7OxsKigooJCQEEpJSXFIxsMoKysjAHThwgVZRp4Pora2lvbt20e+vr60adMm\nhznrxfHjxwkA3b9/X3R9xowZtG7dOmbfHNFpq45UHB3xvy92SMX6ww8/JLVaTWfPnqWoqCh68skn\nKSYmhqqqqhyys6uri4KDg+nAgQM2j5ezZ6eUHY7YKTUjJBUXe3WczTFn7LAHOeyQQ0Z5eTkBoNbW\nVtH1UaNGCW0Oa1vx9ddfk0KhoLa2Nj4UfJxHnhUVFZg8ebLVsgMHDuDWrVvIzMy0KPPw8LApU6fT\nQavVws/PD9988w0aGxuh0Wjwyiuv4MqVK0K94OBgjB49Gu+++y7eeecdtLW1ITY21iEZD6KmpgYp\nKSlYsWIFoqKiZOdq586dyM3NhV6vt7mBvj3OHuRHqVTC3d1ddN3T0xPd3d0O+8ai01Yde3F01H9n\n7WCJdUdHB4xGI5YtW4a0tDQcPnwYQ4cOxezZs9Ha2spsZ3p6OkJDQ7Fs2TK7vtryRcoOR+y0B5a4\nSD2DjuaYs3bYgxx2yCEjIiICI0aMwKZNm4TZrtzcXNy4ccMhPgAI7WVFRQUfCQ4wBs3btt3d3dDp\ndPD19bVanpeXh6VLl9ostwUvLy/cv38fSqVSmIrds2cP/vWvf6GoqAhTpkzBrVu3MGfOHKxevRrb\nt2+HQqHAiRMnsHDhQnh7eyMuLk5SxoM4e/YsXnzxRcybNw979+7tF74KCwsBAGVlZVi4cCFGjhyJ\nhIQEhzlTqVQwm80wm82Cb8AvJzw83ECw+Mai09lYOuK/s3aw5AsA9PT0YOfOnYLOmTNnYuzYsSgq\nKkJWVpaknZ9++inKyspQU1Mj6as9X+zZ4e3tzWxnf8LRHBvMdsghY9iwYdi/fz+SkpLw6aefYujQ\nofD398fcuXPh5eXlkE8eHh7w8vJy6MsQhzwYNCNPk8kEAFAoFBZl165dQ3V1NRITE537hjBkiCjR\nlUolJkyYAK1WCwA4c+YMuru7sWXLFkG/RqPBs88+i6NHjzLJ6EVxcTHmzp2L5cuXo7i42ObSBLkQ\nFxeH8PBwi99KWDnrXbJw+/Zt0fW2tjaL8wqlfGPR2ddYsvjfVzukYt3Ly4wZM4Q6bm5umDRpEurr\n65nszM7OBhFBo9EgMjISS5YsAQAkJSUhOzubyU4pO5yxsz/gSI4Ndjvk8iUuLg719fU4dOgQiouL\nceHCBdy9e9eps24VCoXQfnI8hp2nWq2Gh4eHRVICwBdffCFMNzkzFRwQEICmpibhGhGhtrYWISEh\ngm4igl6vF91rMBjg5eXFJAP45YWn1NRU5ObmYseOHVa/CPR1WlutVqO5uVlkx927dzF06FCnOAsL\nC4NKpUJlZaVoOvD69euIiIhwyDcWnX2NJYv/fbGDJda9L7TV1dWJ7v3xxx/h7+/PZGdGRgaysrKQ\nnJyM5ORkLFiwQGhUn3nmGSZfpOyQKh8osObYo2CHHDJ0Oh02btwIvV4PjUaDWbNmoaOjA1VVVYiO\ndux8TaPRiHv37jm9bpejDxhMP8BGRUVRRkaGxfXU1FSKjo5mkvHwiwRdXV3k5+dHL730Eul0OjIY\nDLR582Zyd3enpqYmoU5gYCAlJiaSTqcjs9lMBQUF5OLiQufPn2eS0djYSO7u7hQfH0+nT58W/dXV\n1QkvASQlJVmUX7x4UbD38OHDlJeXZ/OFiaeeeooSEhKou7ubDAYDZWVlkUqloitXrjBzVlJSQrt3\n7xY+JyUl0eTJk0mr1VJPTw8tXbqUgoKCyGg0MvvGGifWWFp7IYTV/77YwRJrIiKNRkPh4eGk1WrJ\nZDJRTk4Oubq6Um1trUNx6oWtF4akfLFnB0u5VM6xxIWljlSOyWWHlAw57JCSweJHUFAQrVq1ioxG\nI3V2dtILL7xAU6dOJbPZzNxWEBF9++23BIAaGxsd5pCjbxhUnee2bdusrq+LjY2l1NRUpx+qS5cu\n0cSJE0mlUpGbmxsFBATQqVOnRHWuXr1KU6ZMIZVKRR4eHuTj40PFxcXMMnJycgiA1b/etyR9fX2t\nloeFhQlyEhISaOLEiTb9u3r1KoWFhQl2jBkzxsIXKc6SkpIoKChI+Nze3k4xMTGkUCjI1dWVQkJC\nqLq62iHfWOPEGktbjSOL/321gyVf2tvbSaPRkIuLC3l6epKPjw99/PHHDsdJqvOU8kXKDqlylpyT\no/OUyjG57JCSIYcdUjJY/Lh06RKNHTuWPD09ydXVlWbPnk03btwQylnaCiKi3bt3U2hoqFMccvyG\nOk+tVkvu7u6i0Yzc8uvq6shkMtmsc/PmTWpsbBS+ATojoy/Q6/UUExPD5Etzc7Osupubm6mhoaHf\nfJM7lnL772y+1NbWkl6v/9XsZLHDXjlrzvV3jslhB6sMOeywJYP1fpPJRA0NDdTS0uK0v9OnTxeN\nNAcylo87Bt15nuvXr4dSqcRbb731WE6jb926FePGjcOf/vQn/psCx2OVc3LYMRhkDBSfly9fxosv\nvoj6+nphD27efgwcBl3nqdPpMG3aNJSXl9tcv/hbhtFoxJAhQ3hmcjx2OSeHHYNBxkDxOWfOHGzY\nsEG02xFvPx7jzhMAbt26BZVKheHDh/MIcXBwcDwEs9mMhoYGjB8/npPBO08ODg4ODo5HA/wwbA4O\nDg4ODt55cnBwcHBw8M6Tg4ODg4ODd54cHBwcHBy88+Tg4ODg4HiMMOgWBBER5s+fj5ycHCgUCuTl\n5VmtN336dCxfvhzALyeyFBUV4dSpU+ju7kZ4eDgyMzMxYsQIoX5xcTFKSkpw//59REdHIz09XVhY\n/DCampqwcuVKFBQUYMyYMcwyTCYTCgsLUVZWBqPRiAULFmD16tXC6SOLFy/G/PnzkZqa6jQ/LL4C\nQFFREcrKyqDX67Fo0SKkpaUJJ4VI2WkLX331FfLy8tDa2opJkyZh8+bNog2p7ensD7tsxam0tBT7\n9++HTqfDvHnzsH79eqhUKtG99mLJyrE9PY76snfvXnR2dmLjxo0OxbqlpQVbt261kJeZmYmgoCDm\nvLIXW7l02POVFSyxHQgZUr5I6bDXFpjNZsTGxiI/Px9PP/0076UGKwbblkd5eXm0ePFiIiK6fPky\nJSQkiP6ef/55AkB//etfhXvS0tJo5MiRtGvXLtq/fz/NmDGDxo0bR52dnUREtH37dho6dCht376d\n9u/fT+PHj6f58+db1W80GumPf/yjxT6jLDL+8pe/0O9//3vas2cP7du3j0aNGkUrVqwQ7VfJcjq8\nPUj52muHp6cnZWdnU2FhIYWEhFBycjKzndZw8uRJUqlUlJmZSR9++CHNnj2bxo8fTzqdjkmn3HbZ\nitPBgwfJzc2NsrOzKS8vj3x9fSklJUV0r1QsWTiW0uOIL0ePHiWVSmWxVyuLHceOHSNXV1eL5+T7\n779nzimp2MqhQ8pXFrDEdiBkSPnCokOqLSgtLaVnnnnmkdgqk+9tOwjQ09NDPj4+VFlZabPO4sWL\nKTIykgwGAxERtbS0EAA6efKkUKezs5PUajUVFhYS0S8nGGzZskUoP3fuHAGgH374wUJ+dnY2jRs3\nzqJRlpLR1tZGLi4udOzYMaHOkSNHSKlUUkdHhyydJ4uv9fX1pFAo6IMPPhDqNDU1kaurK507d47J\nTmsICgqiN954Q/h879498vb2ptLSUkmd/WGXtTiZTCby9/en7du3C/UqKioIgOgUEXuxZOFYSg+r\nL3fu3KG1a9eSq6sr+fj4iBphFjuIiN58802rhyk4AnuxlUuHPV9ZwBrb/pYh5QurDpa2YMKECaIc\n4hhcGFS/eR48eBDDhg0TziF8GEeOHMHx48fx3nvvCVMgSqUS+fn5mDVrllDPy8sLw4YNQ0tLizAN\n8vPPP//7h97/myY0GAwi+ZWVlXj77beRn59vdSrFngwfHx/U1dVBo9GIpt0UCgXk2oeCxderV6+C\niLBo0SKhTmBgIIKDg3Hq1Cmn7KyurkZ9fT3WrFkjXFOr1bhz5w4WLlwoqVNuu2zF6bvvvoNWqxVt\nVxYZGQlfX1+Ul5czxZKFYyk9rL6cOHECVVVVOH/+PMLCwhyONQBUVVVh2rRpMJvNaG9vdzinpGIr\nhw4pX1nAGtv+liHli1w6AODll1/Grl27+PQon7aVxvPPP0/r16+3WvbTTz/R6NGjRUdg2UJZWRkB\noAsXLhAR0aFDh2j48OGUnZ1NBQUFFBISYjGN0tXVRcHBwXTgwAGrx0OxyOhFbW0t7du3j3x9fWnT\npk2yTttK+VpeXk4AqLW1VVRv1KhRFvbasvNhfPjhh6RWq+ns2bMUFRVFTz75JMXExFBVVRWzTrns\nshen48ePEwC6f/++6J4ZM2bQunXrnIqlNY5Z9Uj50tPTI/zPctTXw3YQEQUGBlJERASp1WoCQP7+\n/vTJJ58w549UbOXQ4YyvD8MRzvtThpQvrDpY2oKvv/6aFAoFtbW18WEeH3naR0VFBSZPnmy17MCB\nA7h16xYyMzPtyqipqUFKSgpWrFiBqKgoAEBwcDBGjx6Nd999F++88w7a2toQGxsrui89PR2hoaFY\ntmyZVbksMnqxc+dO5ObmQq/X9+vm9tZ8jYiIwIgRI7Bp0yZhdJWbm4sbN26gu7vbKTs7OjpgNBqx\nbNkypKWl4fDhwxg6dChmz56N1tZWJp1y2WUvTjqdDkqlEu7u7qLrnp6eIh2OxNIax6x6pHzx8PDo\nU6x1Oh20Wi38/PzwzTffoLGxERqNBq+88gquXLnCJFcqtnLocNRXa3CE8/6UIeWLXDoACG1hRUUF\nH+XxkadtdHV1EQD67LPPrJaHhobSn//8Z7syvvzyS/L29qalS5cKp7q3tbXRE088QRkZGcIZnWVl\nZaRUKgVdpaWl5OfnR7dv3yYiy4OJWWRYw2effUYKhYKOHj0q+8jTmq8P6lWr1eTt7U0BAQE0Y8YM\nmjt3rk3+HrbT2ktcAETlP/30E/n5+dHf//53Zp19tUsqTh999BEBsHjJYubMmbR27VqHY2mLYxY9\njnJsbzRmL9Y///yzyA6TyUTBwcG0Zs0a5hf0pGLbVx2O+GoLznDeHzKkfGHVwdoWqNVq2rdvHx/m\n8ZGn/SUYAKBQKCzKrl27hurqaiQmJtq8v7i4GHPnzsXy5ctRXFwsLAk4c+YMuru7sWXLFkG2RqPB\ns88+i6NHjwIAsrOzQUTQaDSIjIz8/9l796iormzf/1uFFK9QhJaGRkhQUY+JCgcfCHZ8RDStFr4g\nGqU4Qh/FR4wPRoOJYST+bDrJQTlETYMIIfERMo5GbbXRODR3xFYUOxjD4yYqEcFLShRElALsIlU1\nf3/ksq9lPfaqqg0hcX3GqDG01tpzzfldc6/F3rX3Wli0aBEAQK1WIzMzk8mGJWJjYxERESH87icV\n1mJ9tN3a2lrs27cPxcXFuHDhAu7fv4/g4GCH/PT39wcAjB8/XvjOzc0NI0eORG1tLXObzvol1k/d\nr1bcvXvXxE5TU5MQA2tf2tKYpR2pckGsr/v162fyOpBcLsfw4cOh0WiY7LP0rbNtSIEjmveEjd5u\nQyaTCWMjp2/RZyZPpVIJDw8Ps6QDgC+++EK4lWTtQaPk5GTs2LEDW7duNZmAlUoliAg6nc7kmK6u\nLnh7ewMA0tLSkJGRgcTERCQmJmL27NnCgDdhwgQmG2VlZVAqlWhoaHj0qh7379+Hl5eXpA9VWYu1\n+7bRhg0boNPpoFKpMGnSJLS2tqKiogKTJ092yM/uB7hqampMvr958yaCgoJE25TKL7F+Cg8Ph6ur\nK8rLy01uS16/fh2RkZHM+SCmsVg7UuWCmB9lZWUIDg5GfX29STtXr17FsGHDmNoQ61sp2pAClr7t\nDRu92YZer8eDBw9M3qXm8Nu2FomOjqa0tDSz75OTk2ny5MkWj6mrqyN3d3eKi4uj06dPm3xqamqo\nvb2dQkJCKCEhgbRaLRmNRiooKCAXFxcqLS21aPPx24EsNjo7O+nZZ5+l+Ph46ujooK6uLsrIyCBX\nV1e6fPmycKtGrVab+Xnx4kWh7f3791Nubq5DsT766sGKFStIr9dTW1sbzZw5k8aMGUNGo5HJz0OH\nDtH27dtN2lapVBQREUEajYYMBgNlZWWRQqEQHr+31aZUfon1ExGRWq2mUaNGkUajoc7OTlq8eDGF\nhoYKtzvF+pJVY1vtOBLL47f/WPxob2+nwMBAmj9/Pmm1Wurq6qKNGzeSu7s71dfXi+YTS9+ytMHa\njthtWzEbYn0rhQ174rAWC4ufLGPBN998QwCorq7OIZ05PUufmjzfffddi++TxcTEUHJyssVjsrKy\nCIDFT/eTuZWVlTR69GhydXUlDw8P8vPzo+LiYqt+WBqUWWxUVlZSeHg4ubq6kpubGw0cOJBOnjxp\ncsJY8jM8PFyoEx8fTyNGjHA4ViKir776igYNGkSenp6kUChoypQpdOvWLWY/1Wo1hYaGmrTd0tJC\nKpWKXFxcyNPTk/z8/Oizzz5jblMKv1j6qaWlhaZOnUoymYwUCgUNGzaMqqqqzPrJWl+yaizWjr2x\nPD4I29PXI0aMENoJDg42acdWPtnTt7baYG1HbPIUs8HSt87asCcOa7Gw+MkyFmzfvp3CwsIc1pnz\nBE2eGo2G3N3dTf7Cl5I7d+5QXV2dydVQT9jQaDTU0NDgkH2dTkdTp051OlaDwUA3btygxsZGSf28\nc+cOXb16lXQ6nUNt9pRfj9PQ0EA3btywuUKLFPkg1o4UsbCeOzU1NWZ+2JNPtvrWVhtS5S2rDVua\nO2tDqvOPNQdtMW7cOLOrTCn94ziHjEiiN/glYt26dZDL5Xj//fefyNvomzdvxuDBg/Ef//Ef/DcF\nzi8mn6Ropy/Y6Cvn36VLlzBv3jzU1taarJ/Nx4e+Q69Pnv/rfwFLlwJtbVZ/g4VWq8VTTz1ltqg4\nh8PhPAlotVq4u7s7vGC9GMOHAydOAE8/zbV2lF7fVaWkBLh50+Z8DkCJBw9453A4nCcVb7S395z1\nsjKgqgp4ZPVHTl+fPLv54x+B1at5B3A4HE5vsmABUFcH9K0f7PjkyUxgIDBmDO8ADofD6U0eWzmQ\n4yD8R0UOh8PhcPjkyeFwOBwOnzw5HA6Hw+GTJ4fD4XA4fPKUECLCzJkzUVVVherqaqxcudLip6io\nyOLx9fX1eOmll0wWsjYYDCgoKEBcXBz+8Ic/4I033kBLS4tVHyzZAH7a4SIuLg4zZ87Ef/3Xf5kt\nLg4ARUVFmD9/PmbNmoVdu3bBaDQKZQsXLsTu3bsl0yo/Px9btmyxWGbLD5Zye9tl1fj8+fNISEjA\n1KlTsXbtWjQ2Ntplw2AwID8/H7GxsZgxYwZyc3NNdp1obGy0mC/dO4Swxm/LT9Z+sEdjW31pKycB\n4OjRo5g/fz6mTZuG7OxsYb9UR2KxBkssUrTDqoctxPTo6ePtjcNSHbGxwmg04sUXX8SVK1f4LPYz\nTla9yvr1RADRm29aLs/NzaWFCxcSEdGlS5coPj7e5PPSSy8RAHrTggG9Xk+///3vzdY7TUlJIX9/\nf8rJyaHdu3fT+PHjafDgwdTW1sZsY8uWLeTl5UVbtmyh3bt305AhQ2jWrFkmx7722mvk6elJmZmZ\nVFhYSMOGDaPExEST9Syl2s/z4MGD5OrqanGNUDE/xModaZdF4xMnTpCrqyulp6fTp59+SlOmTKEh\nQ4aQVqtltvHaa6/R7373O9q5cyft2rWLBgwYQMuWLRPKDx8+TAqFwixvrly5why/mJ8setijsa2+\ntJWTRER79+4lNzc3yszMpNzcXAoICKCkpCSHYrEGSyxStMOqhy3E9Ojp4+2Nw1odlrHi6NGjNGHC\nBLuX/3vuuZ/G4DNn+BJ7v6i1bW1Nnp2dneTn50fl5eVWj1+4cCFFRUVRV1eXWVlmZiYNHjzYZJBp\nbGwkAHTixAmhXltbGymVSiosLGSyQfTTjiCbNm0S/n/u3DkCQN9//z0REdXW1pJMJqNPPvlEqFNf\nX08KhYLOnTsn2eR57949Wr16NSkUCvLz8zM76cT8YPHT3nZZNQ4NDaU33nhD+P+DBw/I19eXjh49\nymSjqamJXFxc6PDhw0KdAwcOkFwup9bWViIievvtty1uLsCqj5ifLHqwaizWl2I5aTAYKCgoiLZs\n2SJ8V1ZWRgBMdrsRi8UWrLE42449ethaN1lMj5483p44xOqwjhXDhw83OR/45Nl79Knbtnv37oWP\nj4+wx+DjHDhwAEeOHMFHH31ktmxVeXk5tm3bhry8PNP70nI58vLyMOmRpTS8vb3h4+NjdlvJmo3u\n2ySP3r7pXjqwq1VVvh0AACAASURBVKsLAFBZWQkiwty5c4U6ISEhGDp0qKSbYR8/fhwVFRUoLS1F\neHi4WbmYH476aatdFo2rqqpQW1uLV199VaijVCpx7949zJkzh8mGn58fampqoFKpTG7jymQydK8y\nWVFRgbFjx8JoNFq8bSwWv5ifLHqwaizWl2I5+d1330Gj0SA2Nlb4LioqCgEBATh16hRzLLZgiUWK\ndlj1sIWYHj19vD1xOBtrNy+//DJycnL4LdQn/TfPw4cPmyTuo+h0OqSlpWHNmjV47rnnTMo6Ojqg\nVquRk5ODkJAQkzJ/f3+sWrXKZBPi48ePo6GhAdOmTWOyAQB//vOfkZeXh7/85S8oLCzEH//4RyQl\nJeH5558HADz11FOCnUdpbW3FDz/8IJlG8fHxKC0txbhx4yyWi/nhqJ+22mXR+Ntvv4VSqUR9fT0m\nTJiA/v37IyYmBpWVlcw2ZDIZBg8eDIVCgWvXrqGgoADr169HWloafH19hcH+0qVL8PX1hZ+fH4KD\ng3HkyBFmfcT8ZNGDVWOxvhTLye7fcQcNGmTy/cCBA3H9+nXmWGzBEosU7bDoIYaYHj19vD1xOBtr\nN7Nnz8b58+fR3NzMZ7MnefIsKyvDqFGjLJbt2bMHzc3NSE9PNytLTU1FWFgYlixZItpGdXU1kpKS\nsGzZMkRHRzPbGDp0KJ555hl8+OGH+OCDD9DU1ISYmBihPDIyEv3798frr78uXKHu2LEDt27dMht4\nnMHDw8NmuZgfjvop1q6Yxq2trdDr9ViyZAlSUlKwf/9+eHl5YcqUKbh9+zZzP3WTnZ2NHTt2QKfT\nCROLVquFRqNBYGAgvv76a9TV1UGlUmHBggW4fPkykz6sftrSg1VjMU3FclKr1UIul8P9sSVjPD09\n7YrFmXxypG+lyDFH9Ojp4+2Jw9lYu+keL8vKyvhs1sv06yuOdHR0QKvVIiAgwGJ5bm4uFi9ebFZ+\n7NgxlJSUoLq6WrSNs2fPYt68eZgxYwby8/OZbTQ3N2PatGlYuXIltmzZAplMhuPHj2POnDnw9fVF\nbGwsfHx8sHv3bqjVahw7dgxeXl4ICgrC9OnT4e3t3Ws6ivnR035a0xgAOjs7kZ2djfj4eADAxIkT\nMWjQIBQVFSEjI4PJRjeFhYUAgJKSEsyZMwf+/v6Ij4/Hw4cPIZfLhdvqO3fuxJdffomioiKMHj2a\nKX5WPx3tAxZY8trV1RVGoxFGo9FkByK9Xi9MAL0Vi7PtSAGLHj15/M+Bh4cHvL297fojhfMrmzy7\nXzeQyWRmZdeuXUNVVRX++7//26wsMzMTRCT8Dvavf/0LAKBWq/Hyyy/jrbfeAvDTayb/+Z//ibVr\n1woTIKuN4cOHo6OjA5s2bRKOU6lUeOGFF3Dw4EHhVnNsbCxqa2vxz3/+E97e3njhhRcQFRWFqKio\nXtVSzI+e8tOWxv7+/gCA8ePHC9+5ublh5MiRJq+R2LJhLdaIiAicPHkS8fHx6NfPNKXlcjmGDx8O\njUbDpA+rn872gRgseR0YGAgAuHv3ruA3ADQ1NcHf37/XYpGqHWcR06Onj/+5kMlkJq9rcZ6w27ZK\npRIeHh64e/euWdkXX3wh3AZ6nLS0NGRkZCAxMRGJiYmYPXu2cMJPmDABwE8PIiUnJ2PHjh3YunWr\n2YAsZkOpVIKIzN7r7OrqEv761mq12LBhA3Q6HVQqFSZNmoTW1lZUVFRg8uTJvaajmB895aeYxt0P\ngdXU1Jh8f/PmTQQFBTHZKCsrg1KpRENDg/AdEeH+/fvw8vJCWVkZgoODTd6FJCJcvXoVw4YNY9KH\nxU9n+4AFlrwODw+Hq6srysvLheNaW1tx/fp1REZG9losUrQjBWJ69PTxPwd6vR4PHjwQJn5OL9KX\nXlWJjo6mtLQ0s++Tk5Np8uTJTPavXLli8kh/XV0dubu7U1xcHJ0+fdrkU1NTw2Sjvb2dQkJCKCEh\ngbRaLRmNRiooKCAXFxcqLS01eVx/xYoVpNfrqa2tjWbOnEljxowho9EoPH6uVqvN/Lh48aJgY//+\n/ZSbm8sUa0xMjMXH4MX8ECs/dOgQbd++nbldVo1VKhVFRESQRqMhg8FAWVlZpFAo6OrVq0w2Ojs7\n6dlnn6X4+Hjq6Oigrq4uysjIIFdXV7p8+TK1t7dTYGAgzZ8/n7RaLXV1ddHGjRvJ3d2d6uvrmfWx\n5SdrP4i1wdqX1nKyG7VaTaNGjSKNRkOdnZ20ePFiCg0NJb1ezxyLWM6xxCLWjj15bU0PFhtieojZ\nEDteqnNUrA7LWEFE9M033xAAqqurY/aNv6ryK3zP891337X4jl5MTAwlJyc7NHlmZWURAIufP/3p\nT8wDVWVlJY0ePZpcXV3Jw8OD/Pz8qLi42OS4r776igYNGkSenp6kUChoypQpdOvWLZMTwpIf4eHh\nQp34+HgaMWKEUyemmB9i5Wq1mkJDQ5nbZdW4paWFVCoVubi4kKenJ/n5+dFnn31ml43KykoKDw8n\nV1dXcnNzo4EDB9LJkydNYhsxYoRQHhwcbFLOEr8tP1n7QawNqSbPlpYWmjp1KslkMlIoFDRs2DCq\nqqqyKxaxnGOJRawde/Lamh4sNsT0ELMhdrxU5yjL5Ck2VhARbd++ncLCwuzyjU+ev8LJU6PRkLu7\nu9Urwr7AnTt3qK6uzuoVhMFgoBs3blBjY6ND9nU6HU2dOtVpP8X8cNZPZzW8evUq6XQ6h21oNBpq\naGiwWV5TU2N19RWW+J31szc1bmhooBs3bliN11YsLDnHGou1dqTIa3tsWNOD1YYtPaU6R6Vg3Lhx\nJleaLL7xyVMa+vWlW8gDBgzA8uXLkZeXh/fff79P3uYWe3BALpebvSdmD++99x6Sk5Od/zFbxA9n\n/XRWQ2cfwBgwYIBT5SzxO+tnb2ocHBzscCwsOccai7V2pMhre2xY04PVhi09pTpHneXSpUu4desW\nli5d2ud8exKQUffSLL1EaiqwbRvw5pvAO+9YfkBh7NixOHXqlMUXw3/t6PV6sydGOZxfes5J0cav\nyYYUTJs2DevXrzdZWIbFt+efB65cAc6cAXrxWcZfHX1ulPb29kZpaanZ8ntPTIfwiZPzK8w5Kdr4\nNdlwFqPRiPz8fAwZMoSPH3zy/H/89re/5T3D4XA4VpDL5WYTJ6eX+4BLwOFwOBwOnzw5HA6Hw+GT\nJ4fD4XA4fPLkcDgcDodPnhwOh8PhPDn0uadtiQizZs1CVlYWZDIZcnNzLdYbN26cycvB3dTX12P5\n8uUoKCjAwIEDAfy0Y0tRURFOnjyJjo4OREREID09Hf3797do25INACgqKkJJSQl0Oh3mzp2LlJQU\nk62LDAYDCgsLUVJSAr1ej9mzZ2PlypVwcXEBACxcuBCzZs2S7CVma34CwPnz55Gbm4vbt29j5MiR\n2Lhxo8XFo23ZeBwxm0ePHsXu3buh1WoxY8YMrFu3zuSVI7F+ENOPxUZjYyM2b95s5nt6ejpCQ0OZ\n80XMD5Z8ENNYzFdWP7rJz89HW1sbNmzYYHcu2YrFXk3FcMZPsRzrLRu2YmEZb2yNBUajETExMcjL\ny8Nzzz3HZ6m+Sl9ano+IKDc3lxYuXEhERJcuXaL4+HiTz0svvUQA6E0LBvR6Pf3+9783WwM0JSWF\n/P39KScnh3bv3k3jx4+nwYMHU1tbG7ON1157jTw9PSkzM5MKCwtp2LBhlJiYaHLsa6+9Rr/73e9o\n586dtGvXLhowYAAtW7bMZL3KjIwMSXS05icR0YkTJ8jV1ZXS09Pp008/pSlTptCQIUNIq9Uy23gc\nMZt79+4lNzc3yszMpNzcXAoICKCkpCQTG2L9IKYfi43Dhw+TQqEwy5srV67Y1ddifrDkg5jGYr6y\n+NHNwYMHydXVVXQdVUuIxWKPpmI44ydLjvWGDbFYWMYbsbHg6NGjNGHCBKvLLToDX57vV7i2bWdn\nJ/n5+VF5ebnV4xcuXEhRUVHU1dVlVpaZmUmDBw82GagaGxsJAJ04cUKo19bWRkqlkgoLC5ls1NbW\nkkwmo08++USoV19fTwqFgs6dO0dERE1NTeTi4kKHDx8W6hw4cIDkcjm1trZKPnla8rOb0NBQeuON\nN4T/P3jwgHx9feno0aPMNh7Hlk2DwUBBQUG0ZcsWobysrIwACLtqiPUDi34sffn2229b3FyAVUMW\nP1jygUVjW76y+EFEdO/ePVq9ejUpFAry8/Oze1JiicUeTa3hrJ8sOdYbNsRiYR1vWMaC4cOHm/Q/\nnzz7Fn3qN8+9e/fCx8dH2B/wcQ4cOIAjR47go48+MrvNUl5ejm3btiEvL8/0R125HHl5eZg0aZLw\nnbe3N3x8fNDY2Mhko7KyEkSEuXPnCt+FhIRg6NChOHnyJADAz88PNTU1wubF3bdvZDIZpF4B0Zqf\nAFBVVYXa2lq8+uqrwndKpRL37t3DnDlzmGzYa/O7776DRqMxWSYsKioKAQEBOHXqFFM/sOjH0pcV\nFRUYO3YsjEYjWlpa7NaQxQ+WfGDR2JavrPl0/PhxVFRUoLS0FOHh4XbnEkssrJrawlk/WXKsN2yI\nxWLPeCPGyy+/jJycHH57tI/SpybPw4cPmyT2o+h0OqSlpWHNmjVmvwN0dHRArVYjJyfHbD1cf39/\nrFq1Cl5eXibJ39DQgGnTpjHZeOqpp4Q6j9La2ooffvgBwE+7uQ8ePBgKhQLXrl1DQUEB1q9fj7S0\nNPj6+kqmkS0/AeDbb7+FUqlEfX09JkyYgP79+yMmJgaVlZXMNuy1WVtbCwBmC4cPHDgQ169fZ+oH\nFv1Y+rKyshKXLl2Cr68v/Pz8EBwcjCNHjjBryOIHSz6waGzLV9Z8io+PR2lpKcaNG+dQPrHEwqKp\nGM76yZJjvWFDLBbW8YaF2bNn4/z582hubuYzFZ88bVNWVoZRo0ZZLNuzZw+am5uRnp5uVpaamoqw\nsDAsWbJEtI3q6mokJSVh2bJliI6OZrIRGRmJ/v374/XXX8ePP/4IANixYwdu3bplNugAQHZ2Nnbs\n2AGdTif54vZisba2tkKv12PJkiVISUnB/v374eXlhSlTpuD27dt268ViU6vVQi6Xw93d3eQ4T09P\ni/rY6gd79HvchlarhUajQWBgIL7++mvU1dVBpVJhwYIFuHz5st35Ys0PlnwQa4PVVzE9PDw8nMon\nsVjs8dMWzvrpSI71hA17Y7GV52J0j4VlZWV8puqD9JmnbbtP1ICAAIvlubm5WLx4sVn5sWPHUFJS\ngurqatE2zp49i3nz5mHGjBnIz89ntuHj44Pdu3dDrVbj2LFj8PLyQlBQEKZPnw5vb2+z+oWFhQCA\nkpISzJkzB/7+/oiPj3daI9ZYOzs7kZ2dLbQ5ceJEDBo0CEVFRRg1ahSzXqw2hwwZAqPRCKPRaPK0\nqV6vNxuobPWDPfpZsuHt7Y2HDx9CLpcLfuzcuRNffvklioqKMHr0aLvyxZofYvnA0gaLrz2dTyy5\nbY+fPYmrq6tdOdZTNuxBLM9ZJmlvb2/hj14Ov/K0iMFgEG5XPc61a9dQVVWFhIQEs7LMzEwQEVQq\nFaKiorBo0SIAgFqtRmZmplCvuLgY06dPx9KlS1FcXGzyuD+LjdjYWNTW1mLfvn0oLi7GhQsXcP/+\nfZv7/sXGxiIiIsLkdzBnYPGzey/F8ePHC8e5ublh5MiRqK2tZdbr8VtRtmx2v65y9+5dk+OamprM\n9na01Q+s+tmy0a9fP5OBUS6XY/jw4dBoNHbli5gftvKBtQ0xX3s6n1hiccTPnsCeHOtJG6zYk+e2\nkMlkwtjI4VeeFlEqlfDw8DBLbAD44osvhNuEj5OWlmbym8CdO3dQWVmJ2NhYTJgwAcBPDyItXboU\nf/3rX7FixQq7bWi1WmRmZmLdunXCAxwtLS2oqKjAe++9J9xa+cMf/oBvv/0WzzzzDICf3lm9f/++\nye8fzsASa/fDVjU1NSYT+82bNzF+/Hj84Q9/ELXxOGI2w8PD4erqivLyckGf1tZWXL9+HZGRkUJ9\nW/3Aqp+YjQULFqC0tFR4n5KIcPXqVcybN49JQxY/xPJhxIgRohqL+dob+cQSC4umvQFrjvW0DRbE\nxhtW9Ho9Hjx4YPH9bE4foC+9qhIdHU1paWlm3ycnJ9PkyZOZ7F+5csXktYC6ujpyd3enuLg4On36\ntMmnpqaGyUb3qxorVqwgvV5PbW1tNHPmTBozZgwZjUbhNZtnn32W4uPjqaOjg7q6uigjI4NcXV3p\n8uXLwuPparXazI+LFy8K7ezfv59yc3MdirUblUpFERERpNFoyGAwUFZWFikUCouP41uycejQIdq+\nfbtdNtVqNY0aNYo0Gg11dnbS4sWLKTQ0lPR6PVM/sOgnZqO9vZ0CAwNp/vz5pNVqqaurizZu3Eju\n7u5UX1/PpCGLHyz5IKaxmK+sfjxKTEyM2SsgLPlkKxZWTe3JW0t+stgQyzEpbNgTh6VYWMcblrHg\nm2++IQBUV1fnkM78VZUn6D3Pd9991+L7ZDExMZScnOzQhJKVlUUALH7+9Kc/MU9KX331FQ0aNIg8\nPT1JoVDQlClT6NatWybHVVZWUnh4OLm6upKbmxsNHDiQTp48aXLCWPIjPDxcqBMfH08jRoxwavJs\naWkhlUpFLi4u5OnpSX5+fvTZZ58x21Cr1RQaGmqXzZaWFpo6dSrJZDJSKBQ0bNgwqqqqEspZ+kFM\nPxYbX331FY0YMUKwERwcbGKDJX4xP1jzQayfxHxl8UNsUmLJJ7FYWDS1J2+tTZ5iNsRyTAob9sRh\nKRbW8YZlLNi+fTuFhYU5rDOfPJ+gyVOj0ZC7u7vVK8KfG4PBQDdu3KDGxkab9TQaDTU0NDjUhk6n\no6lTp0ri7507d+jq1auk0+kk00DMZkNDA924ccOplVGc0e9RGzU1NT3qB2s+OOtrb+QTSyy2/JQi\nb1lt2MoxZ21Ief45y7hx48yuMqXwj0+e0tCn1rYdMGAAli9fjry8PLz//vt97+kqudzsHTFrcTjK\ne++9J9nat/7+/pI/CCFm09YDVPbkwS/BBms+ONtOb+QTSyy2/JAib1lt2MoxZ21Ief45w6VLl3Dr\n1i2z9bv7in8cQEZSL38jQmoqsG0b8OabwDvvWH6AYezYsTh16pTk70j+EtDr9ejXrx/PTM4vKp+k\naKcv2Ogr59+0adOwfv16s0VjpPDv+eeBK1eAM2eAyZP5OeIofW6U9vb2RmlpqcO7HPziO4RPnJxf\nYD5J0U5fsNEXzj+j0Yj8/HwMGTKEjw988rSP3/72t7xnOBzOE4lcLrc4cXL6WD9xCTgcDofD4ZMn\nh8PhcDh88uRwOBwOh0+eHA6Hw+HwyZPD4XA4nCeHPve0LRFh1qxZyMrKgkwmQ25ursV648aNM3uB\nGADq6+uxfPlyFBQUCAtZGwwGFBUV4eTJk+jo6EBERATS09PRv39/i7Yt2QCAoqIilJSUQKfTYe7c\nuUhJSTHZbQIAzp8/j9zcXNy+fRsjR47Exo0bhYWdFy5ciFmzZkn2krM1PxsbG7F582az+unp6ejs\n7LRb024NCwsLUVJSAr1ej9mzZ2PlypVwcXFBdXU1s00xDVk07iY/Px9tbW3YsGEDk5+sdVhsAMDR\no0exe/duaLVazJgxA+vWrTN5xcpWOatmxcXFOHToEB4+fIjJkycjNTUVbm5uzHqwwBovK476waJp\nTx/PEoeYXmLnudFoRExMDPLy8vDcc8/xWYhfeUrDzp07oVQqERYWhq6uLty9e9fkU1dXh127duHG\njRsWB4HExEScPn0a7e3twverVq3CW2+9hYkTJyIhIQFnzpxBZGQktFots401a9Zg7dq1GDNmDOLi\n4pCTk4OkpCSTYz///HO8+OKLCA4ORkpKCqqrqzFp0iTBztmzZ+3asV5swLPkJwBcvHgRH3/8sZl2\nP/74o92adrN+/Xps3rwZsbGxiIuLw7vvvouVK1cCALNNMQ1ZNO7m0KFDWLt2rZnPtvxkrcNiY9++\nfXjllVcEX7Ozs5GSksJczqLZ1q1bsWLFCkRHR2PRokUoKipCXFycXXqwwBIvK874IaZZTx/PGoeY\nXmLnuVwuR2pqKpYtWwaj0chnoV8qfWlt287OTvLz86Py8nKrxy9cuJCioqKoq6vLrCwzM5MGDx5s\nsgh3Y2MjAaATJ04I9dra2kipVFJhYSGTjdraWpLJZPTJJ58I9err60mhUNC5c+dMdqd44403hP8/\nePCAfH196ejRo8Ji0BkZGZLoaMnPbt5++22LC+w7oikRUVNTE7m4uNDhw4eF7w4cOEByuZxaW1uZ\nbIppyKrxvXv3aPXq1aRQKMjPz89kUW4WP8XqsNgwGAwUFBREW7ZsEeqUlZURALp69apoOWs/hIaG\n0qZNm4Tyc+fOEQD6/vvvmfRgwZG+tYSzfjiqmVTHs8bBohfreT58+HATO70FX9tWGvrUlefevXvh\n4+Mj7B/5OAcOHMCRI0fw0Ucfmd2KKS8vx7Zt25CXl2f2V15eXh4mTZokfOft7Q0fHx80NjYy2ais\nrAQRYe7cucJ3ISEhGDp0qLAxcVVVFWpra/Hqq68KdZRKJe7du4c5c+ZIqpM1P7upqKjA2LFjYTQa\n0dLSYtOWLU278fPzQ01NjbAHYveVr0wmg6XVHS3ZFNOQRWMAOH78OCoqKlBaWorw8HC7/RSrw2Lj\nu+++g0ajMVk6LSoqCgEBATh16pRoOWs/GI1G/Pjjjya53H3VyqIHC/b2rTWc9cMRzaQ8njUOqfQC\ngJdffhk5OTn8Co7/5uk8hw8fNlvLsRudToe0tDSsWbPG7HeCjo4OqNVq5OTkmK2H6+/vj1WrVpmd\nIA0NDZg2bRqTjaeeekqo0/1v4KeNdH/44QcAwLfffgulUon6+nq88soruHbtGv793/8dOTk5Dg0m\n1rDl56OT/e3bt+Hr64u2tjYEBQXhr3/9q9nmxbY0fRSZTIbBgwcDAK5du4Z//OMfePvtt5GWlgZf\nX18mm2IaTv6/i2za0hgA4uPjkZiY6LCfLHXEymtrawHAbCH1gQMH4vr163j22WdtlrPm9p///Ges\nWbMGHh4eCAgIQHZ2NpKSkvD8888z6cGCPX1rC2f9ENO0p49njUMqvQBg9uzZeOedd9Dc3MxXVeO/\neTpHWVkZRo0aZbFsz549aG5uRnp6ullZamoqwsLCsGTJEtE2qqurkZSUhGXLliE6OprJRmRkJPr3\n74/XX39duBLYsWMHbt26hY6ODmGQ1+v1WLJkCVJSUrB//354eXlhypQpuH37tmQaicWq1Wqh0WgQ\nGBiIr7/+GnV1dVCpVFiwYAEuX77MrKk1srOzsWPHDuh0OouTtzWbYhqyaAwAHh4ekvjJUsdauVar\nhVwuh7u7u0l9T09PdHR0iJazajZ06FA888wz+PDDD/HBBx+gqakJMTExJnVY9ZBKM2s464e9mkl9\nvCNxOKMXAGGsKysr4zMRv/J07opKq9UiICDAYnlubi4WL15sVn7s2DGUlJSgurpatI2zZ89i3rx5\nmDFjBvLz85lt+Pj4YPfu3VCr1Th27Bi8vLwQFBSE6dOnw9vbW6jX2dmJ7OxsxMfHAwAmTpyIQYMG\noaioCBkZGU5rxBKrt7c3Hj58CLlcLtzm27lzJ7788ksUFRVh9OjRopraorCwEABQUlKCOXPmwN/f\nX4jXlk0xDVk1lspPljrWyl1dXWE0GmE0Gk2eBNbr9XB3dxctZ8nt5uZmTJs2DStXrsSWLVsgk8lw\n/PhxzJkzB76+vlbv0DgDi2Y9hb2aSX38z6GXh4cHvL29Jf3jmvMEXnkaDAbhtsjjXLt2DVVVVUhI\nSDAry8zMBBFBpVIhKioKixYtAgCo1WpkZmYK9YqLizF9+nQsXboUxcXFJo/hs9iIjY1FbW0t9u3b\nh+LiYly4cAH3798X9gXs3uNy/Pjxgl03NzeMHDlSuKXkLKyx9uvXz2QAkcvlGD58ODQaDZOmLMTG\nxiIiIsLk90gxm2IaipVL5ae9dR4v73716O7duyb1mpqa4O/vL1rOkttnzpxBR0cHNm3aJJwTKpUK\nL7zwAg4ePNij5yKLZlJjj2Y9cfzPpZdMJhPGPg6fPB1CqVTCw8PDLPkB4IsvvhBugT5OWloaMjIy\nkJiYiMTERMyePVtI6AkTJgD46UGk5ORk7NixA1u3bjWboMVsaLVabNiwATqdDiqVCpMmTUJraysq\nKiqE3+q6H3KqqakxsX3z5k0EBQVJohFLrGVlZQgODkZ9fb1wHBHh6tWrGDZsGJOmj1NWVgalUomG\nhgYTm/fv34eXlxeTTTENWTSWwk+xOiw2wsPD4erqivLycqFOa2srrl+/jsjISNFyltxWKpUgIuh0\nOpPvu7q6HLoSd7Zvexp7NOuJ438OvfR6PR48eCBM/JxfGH3pVZXo6GhKS0sz+z45OZkmT57MZP/K\nlSsmr2/U1dWRu7s7xcXF0enTp00+NTU1TDa6XxtYsWIF6fV6amtro5kzZ9KYMWPIaDQKdVQqFUVE\nRJBGoyGDwUBZWVmkUCiER+UDAgJIrVab+XHx4kXBxv79+yk3N9ehWImI2tvbKTAwkObPn09arZa6\nurpo48aN5O7uTvX19UyaHjp0iLZv327yCtGzzz5L8fHx1NHRQV1dXZSRkUGurq50+fJl5n4S05BF\n40eJiYkxeZWAxU+xOqyxqtVqGjVqFGk0Gurs7KTFixdTaGgo6fV6pnIxzdrb2ykkJIQSEhJIq9WS\n0WikgoICcnFxodLSUiY9WPKJJV57ctJRP1g0E7PBork9sViKg0UvlvOciOibb74hAFRXV+eQzvxV\nlZ+XPjV5vvvuuxbfT4yJiaHk5GSHJpSsrCwCYPHzpz/9iXlS+uqrr2jQoEHk6elJCoWCpkyZQrdu\n3TI5rqWlhVQqFbm4uJCnpyf5+fnRZ599JpQHBARY9CM8PFyoEx8fTyNGjHB48uz2dcSIEeTq6kpu\nbm4UHBxMT620gwAAIABJREFUJ0+eZNZUrVZTaGioyXeVlZUUHh4u2Bw4cKBdNlk0ZNFYbHBj8VOs\nDouNlpYWmjp1KslkMlIoFDRs2DCqqqpiLmfRrLKykkaPHk2urq7k4eFBfn5+VFxcbJceLPkkFq89\nOemMH2Kaidlg0dyeWCzFwaIXy3lORLR9+3YKCwtzWGc+efLJU0Cj0ZC7u7vVK8KfG4PBQDdu3KDG\nxkab9e7cuUNXr14lnU5ndxs6nY6mTp0qib8ajYZqamrIYDBIpoFGo6GGhoYe05BVYyn8FKvDYqOh\noYFu3LhhVWOxchbu3LlDdXV1Vq/Apcona/FKkZP22LCmGasNW5pLfX45cy6MGzfO5EpTSt/45Nnz\n9Kn3PAcMGIDly5cjLy8P77//ft/7gVguN3uPzBL+/v4OP6Tw3nvvSbb27YABA3qkj3pSQ1aNpfBT\nrA6LDbGHmZx52OnRfHIUe/LJWrxS5KQ9NqxpxmrDluZ95fy6dOkSbt26ZbLus5S+cXoeGdm7LIaT\npKYC27YBb74JvPMOLD5YMnbsWJw6dcqhd6d+6ej1evTr149nJqfP5BO3IT3Tpk3D+vXrTV456i3f\nnn8euHIFOHMGYHwWj2OBPjdKe3t7o7S01OGdEH7xHcInTk4fyyduQ1qMRiPy8/MxZMgQfu7zyVNa\n+FJVHA7n14pcLjebODm/wH7kEnA4HA6HwydPDofD4XD45MnhcDgcDp88ORwOh8P5BdPnHhgiIsya\nNQtZWVmQyWTIzc21WG/cuHEm70h1U19fj+XLl6OgoAADBw4E8NOi80VFRTh58iQ6OjoQERGB9PR0\n9O/f36JtSzYAoKioCCUlJdDpdJg7dy5SUlKEBdirq6tFfV24cCFmzZrl1LtcrLEcPXoUu3fvhlar\nxYwZM7Bu3TqLTzBbi9UWUmicn5+PtrY2bNiwgVk/AGhsbMTmzZvN6qSnpyM0NJTZD1t9KYUNADh/\n/jxyc3Nx+/ZtjBw5Ehs3bjRbx7S4uBiHDh3Cw4cPMXnyZKSmpsLNzU0yPezFkXwQ61t7YM3bnjre\n3jgs6SV2nhuNRsTExCAvL8/mProcfuVpFzt37oRSqURYWBi6urpw9+5dk09dXR127dqFGzduWJxY\nEhMTcfr0abS3twvfr1q1Cm+99RYmTpyIhIQEnDlzBpGRkdBqtcw21qxZg7Vr12LMmDGIi4tDTk4O\nkpKShHIWX8+ePWvXxryWYIll3759eOWVVwRfs7OzkZKSwhyr2OTtrMaHDh3C2rVrTfqQta8vXryI\njz/+2Kxu9x6gLH6I9aUUNj7//HO8+OKLCA4ORkpKCqqrqzFp0iQTzbZu3YoVK1YgOjoaixYtQlFR\nEeLi4iTVw94/zOzNB5a+ZYU1b3vqeHvjsKaX2Hkul8uRmpqKZcuWwWg08lnol0pfWp6vs7OT/Pz8\nqLy83OrxCxcupKioKOrq6jIry8zMpMGDB5us99rY2EgA6MSJE0K9trY2UiqVVFhYyGSjtraWZDIZ\nffLJJ0K9+vp6UigUdO7cOWZfAwICKCMjw2HtWGIxGAwUFBREW7ZsEeqUlZURAGGBeluxiuGMxvfu\n3aPVq1eTQqEgPz8/i+uGivX122+/bXH9Y1Y/xPpSChvdi9y/8cYbQvmDBw/I19eXjh49arJQ/qZN\nm4T/nzt3jgDQ999/L4ke9uJIPjjat5aWZWTN25443pE4rOnFep4PHz6cDh8+3OvLyvHl+aShT115\n7t27Fz4+PsL2Xo9z4MABHDlyBB999JHZrZjy8nJs27YNeXl5Zn/l5eXlYdKkScJ33ZsvNzY2Mtmo\nrKwEEWHu3LnCdyEhIRg6dKjVPfxs+erwbQKGWL777jtoNBqTlUuioqIQEBCAU6dOicZqC2c1Pn78\nOCoqKlBaWorw8HCbbVnTr6KiAmPHjoXRaERLS4vdfoj1pRQ2qqqqUFtbi1dffVUoVyqVuHfvHubM\nmWNy++7RK8TuW75dXV2S6GEPjuTDo9jTt5ZgzdueOt7eOJzVCwBefvll5OTk8Cs4fuXp/JXnSy+9\nROvWrbN43L/+9S965plnLO6E0t7eTkOHDqU9e/ZY3WnkUUpKSggAXbhwgcnGqVOnCADdvn3bxM6A\nAQMoKSmJ2VdnrzxZYjly5AgBoIcPH5rUGz9+PK1du9YhvaTSuLOzU3THCrG+DgkJocjISFIqlQSA\ngoKC6G9/+xuzH/b2pSM2Pv30U1IqlXT27FmKjo6m3/zmNzR16lSqqKgwqb9v3z56+umnKTMzkwoK\nCmjYsGF25ZMjekjRt5Zg7VtrsORtTx5vTxxierGe5//85z9JJpNRU1MTv/LkV57OUVZWhlGjRlks\n27NnD5qbm5Genm5WlpqairCwMCxZskS0jerqaiQlJWHZsmWIjo5mshEZGYn+/fvj9ddfF64UduzY\ngVu3bqGjo8MuX6XEUixarRZyuRzu7u4mdT09PQVf7dFLSo09PDyY2rKmn1arhUajQWBgIL7++mvU\n1dVBpVJhwYIFuHz5MpMf9valIzZaW1uh1+uxZMkSpKSkYP/+/cKG17dv3xZsDx06FM888ww+/PBD\nfPDBB2hqakJMTEyP6SFF31qDtW+twZK3PXm8PXFIoRcAYawrKyvjV3G/QPrM07YdHR3QarUICAiw\nWJ6bm4vFixeblR87dgwlJSWorq4WbePs2bOYN28eZsyYgfz8fGYbPj4+2L17N9RqNY4dOwYvLy8E\nBQVh+vTp8Pb2ZvZVSqzF4urqCqPRCKPRaPLkp16vh7u7u116SamxPVjTz9vbGw8fPoRcLhdi27lz\nJ7788ksUFRVh9OjRon7Y05fO2Ojs7ER2djbi4+MBABMnTsSgQYNQVFSEjIwMNDc3Y9q0aVi5ciW2\nbNkCmUyG48ePY86cOfD19TW5/SiFHlL0bU8ilrc9fXxPnAssE7W3t7fJH1ScXw595srTYDAAAGQy\nmVnZtWvXUFVVhYSEBLOyzMxMEBFUKhWioqKwaNEiAIBarUZmZqZQr7i4GNOnT8fSpUtRXFwMFxcX\nu2zExsaitrYW+/btQ3FxMS5cuID79++bbX9ky1epsBVL96sQd+/eNTmmqakJ/v7+zHpJrTErYvr1\n69fPZHCUy+UYPnw4NBoNsx8sfemMje4txMaPHy/Ud3Nzw8iRI1FbWwsAOHPmDDo6OrBp0yYh51Uq\nFV544QUcPHhQUj1s4Ug+9ARiedvTx7MitV4ymUwY+zj8ytMhlEolPDw8zJIfAL744gvhttfjpKWl\nobm5Wfj/nTt3UFlZidjYWEyYMAHATw8iLV26FH/961+xYsUKu21otVpkZmZi3bp1UKlUAICWlhZU\nVFTgvffeY/ZVCsRiCQ8Ph6urK8rLywVfW1tbcf36dURGRuLf/u3fRPXqCY1ZsaVfWVkZFixYgNLS\nUuGdOiLC1atXMW/ePCY/WPrSWRvd71fW1NSYTMg3b94UJlSlUgkigk6nw1NPPSXU6erqMrkCdlYP\nMVj6tjcQy9uePp4VKfXS6/V48OCB2bu/nF8IfemBoejoaEpLSzP7Pjk5mSZPnsxk//Ef8Ovq6sjd\n3Z3i4uLo9OnTJp+amhomG92vFaxYsYL0ej21tbXRzJkzacyYMWQ0Gpl9DQgIILVabebHxYsXhTr7\n9+832V3+UVhjUavVNGrUKNJoNNTZ2UmLFy+m0NBQ0uv1TLEeOnSItm/f3qMaW3sYw5Z+7e3tFBgY\nSPPnzyetVktdXV20ceNGcnd3p/r6emY/bPWlFDaIiFQqFUVERJBGoyGDwUBZWVmkUCiE1yba29sp\nJCSEEhISSKvVktFopIKCAnJxcaHS0lJJ9BDLJ9bct9eGpb5lsSGWt2I2WPLenlhYHnyy9sCQ2HlO\nRPTNN98QAKqrq3NIZ/7A0M/Lz3blWVYGZGU9fvX5Dvbv/w5+fqbfl5b+Hj4+s8zqW6K5uT+A1/HR\nR79FQADwj3/cxL/+tQ6HDwOHD39hUnfixIlQqYaK2gCAmTPP4NNPP8VHH/1/MBqNCAmZh8WLF2PL\nFhmzrx0dr6G4uB3FxV+Y3XJat+6nK5JPPulCc7MOFtYWYI4lNLQAFy8WIzj4A8jlcvj6jkZiYg6y\ns12YYt2//0f8n/+jw8OHPafxzZuL0N7e30wn233thfj4r/DZZ5/h6affg0wmg5eXNxISKvE//xOC\nf/zjH0x+2OpL1ljE8mHMmAOorT2AZ575K1xcXKBQKLBgwSUcOfJvQizz5pXh4MGDePrp9yCXy4U6\npaX/jtJS5/UQyyeWvnXEhqW+ZbEhlrdiNljy3p5YrOWomF4s5zkAnD/fgcDAbdi/f6BDOjuKE280\ncR695U5E1JsNpqUB//3fXHgOh8P5OSktBX7/e66Do/T6lefSpUB7O2Btyr5w4QJkMpnJKw5PEl9/\n/TWUSiWGDh3Ks5PTJ/KJ25Ce5uZmnDp1CosWLRIeRutN355+GrCyFg2nr155iqHVajF27FicOnUK\nISEhT1yH6PV69OvXj2cmp8/kE7chPdOmTcP69etNXkni5z6fPG1yHuexEivRiU6rdQwGA2Qymckj\n+BwOh/Nr4ccff5Rs2U5HGIRB+Bv+Bm94885wkF7/M+cQDuF/43/bruTCO4bD4fyKcf15m7+BG6hA\nBSZiIu+LX8rkSfjpQveP+CNWYzXvAQ6Hw+lFFmAB6lAHI/h2aL+oybObQARiDMbwHuBwOJxexB3u\nXAQJ4D8qcjgcDofDJ08Oh8PhcPjkyeFwOBxOn6LPvVRERJg1axaysrIgk8mQm5trsd64ceOwdOlS\ns+/r6+uxfPlyFBQUYODAgaiurma2UVRUhJKSEuh0OsydOxcpKSkWX5fJz89HW1sbNmzYYDWOx/0A\ngIULF2LWrFlITk6WRCtrfhgMBhQVFeHkyZPo6OhAREQE0tPT0b9/f6FOcXExDh06hIcPH2Ly5MlI\nTU2Fm5ub1bbEbLK0ydLu+fPnkZubi9u3b2PkyJHYuHGj2cLZYnXE2mD1tTc0Fsu5o0ePYvfu3dBq\ntZgxYwbWrVtn9oqDLT3sidWZnBPL/cbGRmzevNmsbnp6urCQvtR+WINF096wYSsWFr1sjSdGoxEx\nMTHIy8vDc889x2e6J+HKc+fOnVAqlQgLC0NXVxfu3r1r8qmrq8OuXbtw48YNiwN8YmIiTp8+jfb2\ndgBgtrFmzRqsXbsWY8aMQVxcHHJycpCUlGTWxqFDh7B27VqL7dvyA/hpf8jr169LopMtP1atWoW3\n3noLEydOREJCAs6cOYPIyEho/++imVu3bsWKFSsQHR2NRYsWoaioCHFxcTbbE7MpVs7S7ueff44X\nX3wRwcHBSElJQXV1NSZNmmSioVgdlthYfO0NjcVybt++fXjllVeE8uzsbKSkpJjYENODNVZnc04s\n9y9evIiPP/7Y7Fzs3kxcaj+swaJpb9gQi4VFL1vjiVwuR2pqKpYtWwajkT9V21NXer27qwqtJxDo\nTTLfVqWzs5P8/PyovLzc6vELFy6kqKgo6urqMivLzMykwYMHm+1yIGajtraWZDIZffLJJ0Kd+vp6\nUigUdO7cOSIiunfvHq1evZoUCgX5+fnZ3G3Bmh8BAQGUkZHhlH5ifjQ2NhIAOnHihPBdW1sbKZVK\nKiwsFHYE2bRpk1B+7tw5AkDff/+9xTbFbLK0ydJuaGgovfHGG0L5gwcPyNfXl44ePWpiw1YdsTZY\nfO0NjcVyzmAwUFBQEG3ZskUoLysrIwDCzixierD2i7M5x5L7b7/9NkVGRvZo7ovBqmlP22CJhUUv\nlvFk+PDhdPjwYdNdVeg5AoHOEN9WxRn61JXn3r174ePjg7FWFl08cOAAjhw5go8++sjsFkl5eTm2\nbduGvLw8m21YslFZWQkiwty5c4V6ISEhGDp0KE6ePAkAOH78OCoqKlBaWorw8HCr9ln9cBQxP+Ry\nOfLy8jBp0iThO29vb/j4+KCxsVG4pfPoX7Ddtwm7urqs/hVryyZLm2LtVlVVoba2Fq+++qpQrlQq\nce/ePcyZMwcAmOqIxcbia29oLJZz3333HTQajcnybVFRUQgICMCpU6eY9GDtF2dzjiX3KyoqMHbs\nWBiNRrQ4uK0Hqx/WYNG0N2ywxCKFXgDw8ssvIycnh18l/tqvPF966SVat26dxeP+9a9/0TPPPEN/\n+tOfLO5rOHToUNqzZ4/F/fXEbJw6dYoA0O3bt02+HzBgACUlJQlXxWL7/In5IcWVJ4sfj1NSUkIA\n6MKFC0REtG/fPnr66acpMzOTCgoKaNiwYUKcrDxuk6XcVruffvopKZVKOnv2LEVHR9NvfvMbmjp1\nKlVUVAjHs9RxJLbHfe0NjcVy7siRIwSAHj58aFI+fvx4Wrt2LbMe9vabozknlvshISEUGRlJSqWS\nAFBQUBD97W9/6/HcfxQWTXvDBkssLHqxjCf//Oc/SSaTUVNTE7/y/DVfeZaVlWHUqFEWy/bs2YPm\n5makp6eblaWmpiIsLAxLliyxad+ajcjISPTv3x+vv/66cLWwY8cO3Lp1Cx0dHQAADw8PUf9Z/XAG\nFj8epbq6GklJSVi2bJmwU83QoUPxzDPP4MMPP8QHH3yApqYmxMTEOGWTpdxWu62trdDr9ViyZAlS\nUlKwf/9+eHl5YcqUKbh9+zZzHXtjs+Rrb2gslnNarRZyuRzu7qYvtHt6ego5yaKHPf3mTM7Zyn2t\nVguNRoPAwEB8/fXXqKurg0qlwoIFC3D58uUey31Lfohp2hs2xGKRSi8AwnhaVlbGrxR/rVee7e3t\nBID+/ve/WzwuLCyM/vjHP5p9f/ToUQoMDKS7d+9a3dldzAYR0d///ndSKpXk6+tLwcHBNH78eJo+\nfbrF+pb+UmTxQ4orT3t2uv/HP/5Bvr6+tHjxYtLr9URE1NTURE899RSlpaWR0WgUrkbkcrlV7cVs\nspSLtZubm0sA6ODBgyZ3CgIDA+kvf/kLEZFoHXtjE4ulpzW2lXP/8z//QwDIYDCYtDdx4kRavXo1\nkx72xupozrHk/o8//mgSi8FgoKFDh9Krr77aI7lvCRZNe8MGSywserGOJ0qlknbt2sWvPH+tV54G\ngwEAIJPJzMquXbuGqqoqJCQkmJVlZmaCiKBSqRAVFYVFixYBANRqNTIzM5lsAEBsbCxqa2uxb98+\nFBcX48KFC7h//z6Cg4OZ/Gf1o7coLi7G9OnTsXTpUhQXFwt7Bp45cwYdHR3YtGmToLVKpcILL7yA\ngwcPOmSTpVysXX9/fwDA+PHjhWPc3NwwcuRI1NbWAoBoHXtiE4ulNzS2lXPdr5rcvXvXpM2mpiZB\nBxbNpIrV2dzv16+fySs4crkcw4cPh0aj6bVzgkXT3rDBgpR6yWQyYXzlSEefmTyVSiU8PDzMkhIA\nvvjiC+F21OOkpaUhIyMDiYmJSExMxOzZs4WBacKECUw2tFotNmzYAJ1OB5VKhUmTJqG1tRUVFRWY\nPHkyk/+sfvTWg1fJycnYsWMHtm7davIHiVKpBBFBp9OZHNPV1QVvb2+HbLKUi7Xb/ZBYTU2NSfnN\nmzcRFBQEAKJ1WGMT87U3NBbLufDwcLi6uqK8vFw4vrW1FdevX0dkZCSTHlLF6mzul5WVITg4GPX1\n9Y/e8cLVq1cxbNiwXjsvWDTtDRssP19JpZder8eDBw/M3pXm/MoeGIqOjqa0tDSz75OTk2ny5MlM\n9q3dthWzERoaSitWrCC9Xk9tbW00c+ZMGjNmjHDbzd5bRtZu26rVajp9+rTJ5+LFi0Kd/fv3U25u\nrsO3e+rq6sjd3Z3i4uLM2qmpqaH29nYKCQmhhIQE0mq1ZDQaqaCggFxcXKi0tJSIiA4dOkTbt29n\ntilW3n1bXqxdlUpFERERpNFoyGAwUFZWFikUCpNXAGzVYWmDxdfe0Jgl59RqNY0aNYo0Gg11dnbS\n4sWLKTQ01OS2qy09WGN1NufEcr+9vZ0CAwNp/vz5pNVqqaurizZu3Eju7u5UX18vqR9iNlg0ddaG\nPXFYioVVL5bx5JtvviEAVFdXJ3wX9CCI37aVgD41eb777rsW322KiYmh5ORkpyZPMRtfffUVDRo0\niDw9PUmhUNCUKVPo1q1bkg0g3ckOwOwTHh4u1ImPj6cRI0Y4PIBkZWVZbAOA8JRxZWUljR49mlxd\nXcnDw4P8/PyouLjYZHAIDQ1ltsnSJku7LS0tpFKpyMXFhTw9PcnPz48+++wzk/jE6oi1weprT2vM\nknMtLS00depUkslkpFAoaNiwYVRVVcWsB2uszuYcS+5/9dVXNGLECHJ1dSU3NzcKDg6mkydPmhwn\nhR9iNlg0ddaGPXFYi4VFL5bxZPv27RQWFmZynHeDN588f22Tp0ajIXd3d4tXAL2BwWCgGzduUGNj\n48/WITqdjqZOndorbd25c4fq6uosXl3/nO3euXOHrl69SjqdzqYNW3V+rtjs9YMl5xoaGujGjRtm\nD6nYq1lfyDmNRkM1NTUWY5HCD1YbtjR11oaUetrSi4Vx48aZXQUPNw7nk6cE9Km1bQcMGIDly5cj\nLy8P77//fu//ACyXY9CgQT+rBu+9955ka9+KIeUDDlK26+/v73Sdnys2e/1gyTmWh9ZYNOsLOTdg\nwIAe9YPVhi1NnbUhpZ629BLj0qVLuHXrltka4C0tLYAf/8nSWWRERL3ZYCpSsQ3b8CbexDt4x+LD\nO2PHjsWpU6cQEhLyxHWIXq9Hv379eGZynrick8KPvmCjr+g5bdo0rF+/3mQ1JAB4jp7DVdlVnMEZ\nTMZkfgI4SJ8bpb29vVFaWurwDgW/+A7hEyfnCc05KfzoCzb6gp5GoxH5+fkYMmSI+RVTDzxxzSfP\nPsJvf/tb3jMcDofjIHK53OLEyZFQYy4Bh8PhcDh88uRwOBwOh0+eHA6Hw+HwyZPD4XA4HD55cjgc\nDofz5NDnnrYlIsyaNQtZWVmQyWTIzc21WG/cuHFmL/8CQH19PZYvX46CggIMHDgQ1dXVzDaKiopQ\nUlICnU6HuXPnIiUlxWRng27y8/PR1taGDRs2CN+xtLNw4ULMmjVLsheoLfkB/LRDTWFhIUpKSqDX\n6zF79mysXLnSZDeNo0ePYvfu3dBqtZgxYwbWrVtn8/WgxsZGbN682ez79PR0hIaGAgDOnz+P3Nxc\n3L59GyNHjsTGjRtNFqSWyi9b/cTiJ0s7YrlgMBhQVFSEkydPoqOjAxEREUhPT0f//v2ZcoGlDote\ntnLf3nJLsJ4/tvSQMrdZsDe3pT6eNQ5b54vYWGE0GhETE4O8vDw899xzfCbjV57Azp07oVQqERYW\nhq6uLty9e9fkU1dXh127duHGjRtmxxoMBiQmJuL06dNob28HAGYba9aswdq1azFmzBjExcUhJycH\nSUlJZm0cOnQIa9euNWufpZ2zZ8/i+vXrkuhkzQ8AWL9+PTZv3ozY2FjExcXh3XffxcqVK4Xyffv2\n4ZVXXhFizc7ORkpKis32Ll68iI8//tgsxu6NnD///HO8+OKLCA4ORkpKCqqrqzFp0iShH6TyS6yf\nxPxkaYclF1atWoW33noLEydOREJCAs6cOYPIyEhotVqmXGCpI6aXWO7bU24N1vPHlh5S5rYYjuS2\nlMezxiF2voiNFXK5HKmpqVi2bBmMRiOfyX6mK70+s7ZtZ2cn+fn5UXl5udXjFy5cSFFRUdTV1WVW\nlpmZSYMHD7a6GbY1G7W1tSSTyeiTTz4R6tTX15NCoaBz584REdG9e/do9erVpFAoyM/Pj2kj3sfb\nkWIzbDE/mpqayMXFhQ4fPix8d+DAAZLL5dTa2koGg4GCgoJoy5YtQnlZWRkBMNm95HHefvtti4v2\nP7pDyBtvvCH8/8GDB+Tr60tHjx6VzC+WfhLzU6wdljYaGxsJAJ04cUKo09bWRkqlkgoLC+3OW0t1\nxPSyN/dZzw0WHo/FET0cyW2WtakdyW2pjrcnDrHzhXWsGD58uEmOsMA3w5aGPnXluXfvXvj4+Aj7\nFD7OgQMHcOTIEXz00Udmt1HKy8uxbds25OXl2WzDko3KykoQEebOnSvUCwkJwdChQ3Hy5EkAwPHj\nx1FRUYHS0lKEh4eLxmLLV2cQ88PPzw81NTVQqVQmVx0ymQxEhO+++w4ajcZkya6oqCgEBATg1KlT\nVtutqKjA2LFjYTQaf1ob8xGqqqpQW1uLV199VfhOqVTi3r17mDNnjmR+sfSTLT8BiLbD0oZcLkde\nXh4mTZok1PH29oaPjw8aGxsdyoXH64jpZU/us54bLFiKxV49HM1tMRzNbamOZ42D5Xxh5eWXX0ZO\nTg6/CnzSb9sePnzYbB3GbnQ6HdLS0rBmzRqze/wdHR1Qq9XIycmxuR6uNRtPPfWUYOdRWltb8cMP\nPwAA4uPjUVpainHjxonGYctXZxHzQyaTYfDgwVAoFLh27RoKCgqwfv16pKWlwdfXF7W1tQBgthj5\nwIEDbd4mqqysxKVLl+Dr6ws/Pz8EBwfjyJEjAIBvv/0WSqUS9fX1mDBhAvr374+YmBhUVlZK6hdL\nP9nyE4BoOyxt+Pv7Y9WqVfDy8jIZMBsaGjBt2jS7c8FSHTG9WHOf9dxgwVos9ujhTG6L4WhuS3U8\naxws5wsrs2fPxvnz59Hc3Mxnsyd58iwrK8OoUaMslu3ZswfNzc1IT083K0tNTUVYWBiWLFli0741\nG5GRkejfvz9ef/114bexHTt24NatW8Ig6uHhwRyHLV+dxR4/srOzsWPHDuh0OmHg1Gq1kMvlcHd3\nN6nr6elpNmF0o9VqodFoEBgYiK+//hp1dXVQqVRYsGABLl++jNbWVuj1eixZsgQpKSnYv38/vLy8\nMGXKFNy+fVsyv8T6ScxPlnZYcuFxqqurkZSUhGXLliE6OtruXBCrY0kv1txnPTekzGtbekiV29by\n1N7clvJ41jjsPV9s0T1elpWV8dmsl+kzT9t2D34BAQEWy3Nzc7F48WKz8mPHjqGkpATV1dWibViz\n4ePcwSZcAAAgAElEQVTjg927d0OtVuPYsWPw8vJCUFAQpk+fDm9vb7tjsdZOb1NYWAgAKCkpwZw5\nc+Dv7w9XV1cYjUYYjUaTp0f1er3ZoPHoLbiHDx9CLpcLx+zcuRNffvklioqKMGLECHR2diI7Oxvx\n8fEAgIkTJ2LQoEEoKipCRkaGJH6J9ZOYn6NHjxZtx95cOHv2LObNm4cZM2YgPz/foVwQq2NJr/j4\neNHct+fckCqvxfToSRzJbSmPtwd7zhexidrb29vuSZfzK7ryNBgMwu2qx7l27RqqqqqQkJBgVpaZ\nmQkigkqlQlRUFBYtWgQAUKvVyMzMZLIBALGxsaitrcW+fftQXFyMCxcu4P79+0x7KbL6+nMRGxuL\niIgInDx5UngU/u7duyZ1mpqabO4H2a9fP5MBRS6XY/jw4dBoNMJx48ePF8rd3NwwcuRI4VaYVH6J\n9ZMtPwEwtcOaC8XFxZg+fTqWLl2K4uJis1dIWHLBnnx5VC+W3Gc9N6TKazE9ehpHc1uq41lx9Hyx\nhkwmE8ZPzhM4eSqVSnh4eJglLgB88cUXwm2Nx0lLS0NGRgYSExORmJiI2bNnCwPNhAkTmGxotVps\n2LABOp0OKpUKkyZNQmtrKyoqKjB5sn373dlqp7dufSuVSjQ0NAjfERHu378PLy8vhIeHw9XVFeXl\n5Sa3ka5fv47IyEirNoODg1FfX29i8+rVqxg2bJjwgFdNTY3JcTdv3kRQUJBkfon1k5ifAETbYc2F\nvXv3Ijk5GTt27MDWrVst/tHHkgvW6ojpxZL7rOeGFHnNokdP40huS3k8KyznCyt6vR4PHjwweZ+a\n00v0pVdVoqOjKS0tzez75ORkmjx5MpP9K1euWHwcX8xGaGgorVixgvR6PbW1tdHMmTNpzJgxZDQa\nzerG/P/svXtQlEfaPnzN4IyAYVzWWfkQDCrBz40KiweE/KIY0V3j4AniCVxhX8VjiVIBja9v9Oey\nMYXykmgCnkLiIey3GnE1wYTSVK1RIkYS5VBJkAhDih1ABFEGMDM7M/f3h8uzPs7h6WEeEPW5qqYK\nuu+++z5193RPH6Ki7G6jd1SPj48PxcfH0/nz53mfK1eucDTHjx+n7OxsJl1tydHZ2UnPP/88xcbG\nUkdHBxmNRtq6dSspFAq6du0aERHFx8fT2LFjSafTUWdnJy1ZsoQCAwPJZDIREVF+fj7t2bOH49ne\n3k6+vr40f/580uv1ZDQaacuWLeTu7k61tbVERKTRaCg0NJR0Oh2ZzWbKyMggpVLJbfEXQy4hP7HI\nyVKPUCxotVpyd3enmJgYK19WVVU5Fbf2aFjsxRr7QvksMedIFxZ7OBPX9mKbhYeQb4V4sMSgq22U\npb2w9BVERNevXycApNVqmWWTjqqIgz41eO7cudPmGb2oqChKTEx0afAU4nH16lUaPnw4eXp6klKp\npKlTp1J9fb1TDUKoHh8fHwJg9QkJCeFoYmNjafTo0S41zLKyMgoJCSGFQkH9+/enYcOGUWFhIZff\n0tJC06ZNI5lMRkqlkkaOHEnl5eW8DiQwMNDKPqNHj+Z4+vv7W/HUaDTk5uZGnp6epFar6ZNPPhFV\nLhY/CcnJUo9QHRkZGTb9CIBef/11p+LWEY2QvcQaPFlizpGcLPZwJq7txTYLDyHfCvFgiUEx2qhQ\ne2HpK4iI9uzZQ8HBwU7JJg2eT+HgqdPpyN3dnfftvTdhNpuppqaGGhoaHptDDAYDTZs2TRReOp2O\n6urq7ObX1dVRTU0Nmc1mp3hWVVXZLXPr1i2qrKwkg8HQY3Kx+ElITqF6+kIssNqrL8VcT9bhDA97\nvmXl4Sg2xLQXS3txhIkTJ/JmmiyySYOnOOhTd9sOGTIEK1euRE5ODt55553e/wFYLrc649XbePvt\nt0W7+3bIkCEO853dDMXCc/DgwYKbK1yVi8VPQnUI1dMXYsEZXfpKzPVkHc7wsOdbVh6OYkNMe7G0\nF3v49ttvUV9fz7ufuzd8KeHfG7Xo0etKehgpSMG7eBfzMR9LsMQq//79+3jjjTfwP//zP/jNb37z\nzDnEbDb3+i5FCc82eiPmxKjjaeIhBtLT0zFr1iyMHz/eKdlSkAIddLiAC4hEpNQAnpTB83W8jixI\n10lJkCBBwuPEJVzCy3hZMkQ30evLtnGIQwUqQCDJ+hIkSJDwGKCGGuMxXjLEkzTzlCBBggQJEqSZ\np5Novg58938BU6dkfAkSJEh4HHhuKPB/soF+HpItnpjB8+bHwM+fSoaXIEGChMeJ//e/gP9H+snz\nyRk86d+Png+bD7ywRHKABAkSJPQmilOADh1A0nW4T9bg2QXv3wIjFkgOkCBBgoTexLfbAegkOzyx\ng6fdmSkRZs2ahYyMDAQHBwN48FpDfn4+7t+/j8jISKSkpKB///4AHrwdmJ2dbZPXxIkTuQPEubm5\nKCgogMFgwNy5c5GUlMR7faOhoQE7duyw4pGWlobAwEBe2v79+9HW1oZNmzZZ0Z85cwaHDx+GXq/H\nzJkzsWHDBigUCgDAwoULMWvWLJcPMX/99dfIzs5GY2MjxowZgy1btti9GNqRrCz5D0PIhl2ora3F\nypUrcfDgQQwbNozZPixymc1m5ObmorCwEB0dHQgNDUVaWhoGDRrELIdYvrZHwxqTLPU4in1naFhh\nz2Zi1uFMzDnTvnqTh6u+d9QXWCwWREVFIScnx+4D6hIeP+R9TaB9+/ZBpVJxA+fu3buxatUqRERE\nYPHixcjNzUVMTAxHbzQa0dzczPtotVocOHAANTU1AID169cjOTkZ48ePR0xMDLKyspCQkMCr98qV\nK/joo4+seHU9iNyF/Px8JCcnc7wfxrFjx7Bo0SKunszMTCQlJXH5Fy9edOpFelv44osv8Morr8Df\n3x9JSUmoqKjAlClT0N7ebkXrSFaW/IfBYsOuwW3p0qU4f/68lUxC9mGRa82aNXjzzTcxefJkxMXF\n4cKFC9xrKKxyiOFrRzQsMclSj1Dss9Kwwp7NxKzDmZhztn31Fg8xfO+oL5DL5UhJScGKFStgsVik\nUaqvorfvA7y8kegAiK5aX21LnZ2dpFarqaSkhPeKxvbt27n/L126RADop59+slvHwoULKTw8nIxG\nI1VXV5NMJqOPP/6Yy6+trSWlUkmXLl3i0rZt22bzUvou3Llzh9atW0dKpZLUarXVZc9ms5n8/Pxo\n165dXFpxcTEB4L2UsHXrVpfsFxgYSG+88Qb3/71798jb25vOnDnDLKtQ/qNgtSERUXp6Oo0YMcLq\nAnIW+wjJ1dDQQADo888/59La2tpIpVLRoUOHmOQQw9fdseHDMcnKgyX2u9M+7MGezcSow1l72bpr\nWCh+eoOHWL5n6QtGjRpFp06dEr0PPv7bB31wvXS1rUvoUzPPo0ePYuDAgdx7d11LGA/PCLqWCY1G\no00eJ06cwOnTp/Hhhx9CoVCgrKwMRIS5c+dyNAEBAQgKCuIeFQaA0tJSTJgwARaLBS0tLVZ8z549\ni9LSUhQVFSEkJMQq/4cffoBOp0N0dDSXFh4eDh8fH5w7d04U+5SXl6O6uhpr167l0lQqFe7cuYM5\nc+YwyyqU/yhYbVhSUoJ3330XOTk53bKPkFxyuRw5OTmYMmUKl+bl5YWBAweioaGBSQ4xfO2sDR+N\nSVYeLLHvbPuwB0c2E6MOZ2OuJ9qXWG1UDN+z4LXXXkNWlnQbm/SbJwNOnTrFC2wA+POf/4z169fD\nw8MDPj4+yMzMREJCAl588UWr8gaDAampqVi/fj33W8Fzzz0HAOjo6OD+Bh48cvvPf/6TN0A0NjbC\n29sbbW1t8PPzw/vvv4958+YBAGJjY7F06VK7sne9AP/oZeLDhg1zeam2C99//z1UKhVqa2uxaNEi\n3LhxA7/73e+QlZXFa8RCsgrlPwoWG3Z0dCA+Ph5ZWVkICAjoln2E5Bo8eDDWrFlj1ZHV1dVh+vTp\nTHKI4WtnbGgrJll5sMS+M+3DHoRsJkYdzsZcT7QvsdqoGL5nwezZs/HWW2/h9u3bz+Q939Jvnk6g\nuLgYY8eO5aUFBQVh6NCh+OCDD/Dee++hqakJUVFRNssfOXIEt2/fRlpaGpcWFhaGQYMGYfPmzdy3\n571796K+vh4dHR0AAL1eD51OB19fX3z33XfQarXQaDRYsGABrl27BgDw8HB8mliv10Mul8Pd3Z2X\n7unpydXjKlpbW2EymbBs2TIkJSXh+PHjGDBgAKZOnYrGxkaOTkhWofxHwWLDlJQUBAcHY9myZd22\nj7NyVVRUICEhAStWrEBERASzHK762hlZbcUkKw+W2HemfdiDkM3EqMNZ3/ZE+xKrjYrhexZ09YXF\nxcXSSCXNPB1/+9Xr9fDx8eHSbt++jenTp2P16tXYtWsXZDIZzp49izlz5sDb29tqlpqdnY0lS5bw\neAwcOBCHDx9GfHw8Pv30UwwYMAB+fn6YMWMGvLy8uKW/+/fvQy6Xc0tS+/btwz/+8Q/k5uZi3Lhx\ngvIrFApYLBZYLBbeDlSTyWTVWF1BZ2cnMjMzERsbCwCYPHkyhg8fjtzcXGzdurVHfCNkw08//RQF\nBQWoqKjoNftcvHgR8+bNw8yZM7F//34AYJJDDF87A1sxyQKW2He2fdiCkM3EqEMMiBE/vdVGXfX9\nw4O0l5cX74uxBGnmaQWz+cGJXZlMxqVduHABHR0d2L59O5eu0Wjw8ssv4+TJk7zyN27cQHl5OeLi\n4qx4R0dHo7q6GseOHUNeXh4uX76Mu3fv8t7s69evH69ByeVyjBo1Cjod24GorqMizc3NvPSmpqZu\nv9dna9kSACZNmsSl9e/fH2PGjOGWpHoKjmyYnp4OIoJGo0F4eDgWL14MAIiPj0d6erro9snLy8OM\nGTOwfPly5OXlcU8wscghhq9Z4SgmhcAS+860D3sQspkYdYgBMeKnN9qoGL5/GDKZjOsbJUgzT5tQ\nqVTw8PDgBbZKpQIRwWAw8H5rMxqN3KyxC19++SW3hPnoUk16ejo2bNgAjUYDAGhpaUFpaSnefvtt\nbllkwYIFKCoq4s62EREqKyu538GEEBISAoVCgZKSEq6e1tZW3Lx5E2FhYaLYqGsjVVVVFW/g//nn\nn3kDqtgQsuHo0aNx+/Ztjv7WrVsoKytDdHQ0XnrpJVHtc/ToUSxfvhzvv/8+Vq1axctLTU0VlEMM\nX7PCXkyytgeh2HemfdiDkM1MJpPLdYgBMeKnN9qoGL5/eEZ87949u2e4JTxm9KWjKhEREZSamsr9\n397eTgEBARQXF0d6vZ4sFgsdPHiQ3NzcqKioiFc2MTGRIiMj7R7vWLVqFZlMJmpra6NXX32Vxo8f\nTxaLhavH19eX5s+fT3q9noxGI23ZsoXc3d2ptrbWil9UVJTN7enx8fE0duxY0ul01NnZSUuWLKHA\nwEAymUzc9vT4+Hg6f/4873PlypX/bCM/fpyys7Pt2k+j0VBoaCjpdDoym82UkZFBSqXS7lZ7e7I6\nys/Pz6c9e/Y4ZcOH8eOPP9o8IiJkHyG5tFotubu7U0xMjJUNq6qqmOQQy9csNI5iUogHS+yz0AjF\nk5DNWNugM/XYs5cQD5b4cZWHs/bqru9Z+oLr168TANJqtd2ys3RUpWfRpwbPnTt3Wp2/Kysro3Hj\nxpFCoSAPDw9Sq9WUl5dnM4gTExNt1nn16lUaPnw4eXp6klKppKlTp1J9fb0VzejRo0mhUFD//v3J\n39+fCgsLnWowLS0tNG3aNJLJZKRUKmnkyJFUXl7OazAArD4hISEcTWxsLI0ePdqu/VpaWkij0ZCb\nmxt5enqSWq2mTz75xOnG7Sg/Pj6eAgMDnbah0OApZB8huTIyMmzaDwC9/vrrzHKI4WsWGkcxycKD\nJfaFaITiicVmLHI4U489e7HEvlD8uMrDWXt11/csfcGePXsoODi423aWBs9naPDU6XTk7u5ucxZx\n69Yt0mq1Nmc6rAeka2pqqKGhwSGdTqejqqoqMpvN3daxrq6OampqusXDYDDQtGnTBOlu3bpFlZWV\nZDAYes13rDbsSfuICTF83RtgiX17NKzx5KocYtTDysNR/LjKQ0x7uYqJEydazTLFkE8aPMVBnzrn\nOWTIEKxcuRI5OTl45513bG6W6fbOKLnc6nyXPRlcxcO/RzqLt99+m+nu28GDB4u+yUEsG/akfcSO\ntycBLH62R8MaT67KIUY9rDwcxY+rPMS0lyv49ttvUV9fb3UPcl+RTwIgIyLqzQqLU4CKd4HQ/wYm\nvmV7c8qECRNw7tw5u4fcn2aYTCb069dPikwJT1Q8iVFPX+DRV9rf9OnTsXHjRqujQGLId+JF4O6P\nwOwLgG+k1Ea6iz7XS3t5eaGoqKjbrxw88Q6RBk4JT2A8iVFPX+DRF9qfxWLB/v378cILL0j9gzR4\nOgfpKioJEiQ8q5DL5TYHTgl9zE+SCSRIkCBBggRp8JQgQYIECRKkwVOCBAkSJEiQBk8JEiRIkCBB\nGjwlSJAgQYKEZwd9brctEWHWrFnIyMhAcHAwgAevaOTn5+P+/fuIjIxESkoK+vfvD+DBm47Z2dk2\neU2cOJE7ZJybm4uCggIYDAbMnTsXSUlJvJc1GhoasGPHDiseaWlpCAwM5KXt378fbW1t2LRpE5fG\nIsfChQsxa9Ys0Q4525KDVZevv/4a2dnZaGxsxJgxY7BlyxbBC6iFygjZmIWHI187QwMAtbW1WLly\nJQ4ePMhdAs9iQxb7CdGYzWbk5uaisLAQHR0dCA0NRVpaGgYNGsQcL2azGYcOHUJBQQFMJhNmz56N\n1atXc6/IOKsviz26G3N9UQ57OHPmDA4fPgy9Xo+ZM2diw4YNTh+NE4OHkC5Cce6oP7FYLIiKikJO\nTk63HuKW8ATOPPft2weVSsUNnLt378aqVasQERGBxYsXIzc3FzExMRy90WhEc3Mz76PVanHgwAHU\n1NQAANavX4/k5GSMHz8eMTExyMrKQkJCAq/eK1eu4KOPPrLi1fX4cxfy8/ORnJzM8XZGjosXLzr1\nYr0j2JODRZcvvvgCr7zyCvz9/ZGUlISKigpMmTIF7e3tdusTKsNiYyEeQr5mpQEePHG3dOlSnD9/\n3q5e9mzIEgtCNGvWrMGbb76JyZMnIy4uDhcuXEBYWBj0ej1zvGzcuBE7duxAdHQ0YmJisHPnTqxe\nvdqmLkL6stjDlZjra3LYw7Fjx7Bo0SIuTjMzM5GUlNTrPIR0YYlzR/2JXC5HSkoKVqxYAYvFIo10\nPTTT6zN323Z2dpJaraaSkhLeax7bt2/n/r906RIBoJ9++sluHQsXLqTw8HAyGo1UXV1NMpmMPv74\nYy6/traWlEolXbp0iUvbtm2b1aX0D+POnTu0bt06UiqVpFarBS8Lf1SOrsugt27d6pL9WOQQ0iUw\nMJDeeOMN7v979+6Rt7c3nTlzpltlWG0sVC+Lr1njIT09nUaMGGHzYnghGwrZT4imoaGBANDnn3/O\npbW1tZFKpaJDhw4xxUtTUxO5ubnRqVOnuPwTJ06QXC6n1tZWq7KO9GXJdzXm+poc9u5m9vPzo127\ndnFpxcXFBMDuq0Q9wYNFF5Y4Z+lPRo0axYsh6W5b8dCnZp5Hjx7FwIEDuXcru5YfHv7G37UMaDQa\nbfI4ceIETp8+jQ8//BAKhQJlZWUgIsydO5ejCQgIQFBQEAoLC7m00tJSTJgwARaLBS0tLVZ8z549\ni9LSUhQVFSEkJERQl0flEAsscjjSpby8HNXV1Vi7di2XplKpcOfOHcyZM8cmP6EyLDZmqZfF1yw0\nJSUlePfdd5GTk9MtGwrFghCNXC5HTk4OpkyZwqV5eXlh4MCBaGhoYIoXtVqNqqoq7t3JrlmbTCbD\nozdqCukrlC9GzPUlOezhhx9+gE6n4115Fx4eDh8fH5w7d67XeLDo4my/Zw+vvfYasrKypFni0z7z\n/P3vf08bNmzgpR07dox+9atfUXp6Oh08eJBGjhxJCQkJNnn/8ssvNHToUN7zVOfOnSMA1NjYyKMd\nMmQIj09AQACFhYWRSqUiAOTn50d///vfebNi1meqbMkh1syTRQ5Huvz1r38llUpFFy9epIiICPr1\nr39N06ZNo9LSUrt1CpVhsTFLvSy+FqJpb2+noKAgOnLkiN0nyYRsKBQLrDQPo6CggADQ5cuXmeOl\nC5WVlXTgwAHy8fGhzZs38/KE9GWxhxgx11fkcITTp08TALp//z4vfdKkSZScnNxrPFh0YWkLLP3J\nN998QzKZjJqamqSZ59M88ywuLsbYsWN5aUFBQRg6dCg++OADvPfee2hqakJUVJTN8keOHMHt27eR\nlpbGpYWFhWHQoEHYvHkz901u7969qK+vR0dHB4AHl9HrdDr4+vriu+++g1arhUajwYIFC3Dt2jUA\ngIeHB7MetuQQC0JyCOnS2toKk8mEZcuWISkpCcePH+devG9sbLTJU6gMi41Z6mXxtRBNSkoKgoOD\nsWzZsm7ZkCUWWGgeRkVFBRISErBixQpEREQ4HS+ZmZnYu3cvDAaD1WMJQvqy2MPVmOtLcgi1Dblc\nDnd3d166p6cnF6e9wYNFF2f6PUfo6k+Li4ulmeLTOvNsb28nAPTZZ59xaU1NTfTcc89Ramoq94Zg\nQUEByeVyHl0XgoOD6U9/+pNV+meffUYqlYq8vb3J39+fJk2aRDNmzODR/utf/+K97Wc2mykoKIjW\nrl1rxU/oW689OcSYebLI4UiX7OxsAkAnT57kzXx8fX3pL3/5i816WMoI2ViIB4uvhWjOnDlDvr6+\n1NzcTETENMOxZUOWWGCNl6+++oq8vb1pyZIlZDKZnIoXW3Esk8k4Gwrp2x17dCfm+oocQvjb3/5G\nAKze8Jw8eTKtW7eu13gI6cLa77H2JyqVig4cOCDNPJ/W9zzNZjMAQCaTcWkXLlxAR0cHtm/fzqVr\nNBq8/PLLOHnyJO93hxs3bqC8vBz/+7//a8U7Ojoa1dXV+Oabb+Dl5YWXX34Z4eHhCA8P52gefa1A\nLpdj1KhR0Ol0TunhSI7egiNdXnnlFQDApEmTuPz+/ftjzJgxqK6utsmv6x1HR2WEbCzEg8XXQjTf\nf/89iIj7nfCXX34BAMTHx+O1117Dm2++6bL9nKHJy8vDf/3XfyE5ORm7du3ixXZ34iU6OhqhoaEo\nLCxEbGws0tPTHer76aefimIPIfQVOYTQdSSqubmZ9zZpU1MT89u4YvAQgjP9HgtkMhnXv0oQsZ/t\nK4KoVCp4eHigubmZl0ZEMBgMeO6557h0o9EILy8vXvkvv/ySWwZ8dJklPT0dGzZs4BpvS0sLSktL\n8fbbb3NLGgsWLEBRURF37oyIUFlZiXnz5jmlhz05enPp25EuXZuxqqqqeA8C//zzz7yB7WEIlWGx\nsRAPFl8L0aSmpuL27dtc+q1bt1BWVobo6Gi89NJLotiPlebo0aNYvnw53n//faxatcrpeCkuLsYf\n/vAHfP/99xg6dChXx927dzFgwAAAENR35MiRLtuDBX1FDiGEhIRAoVCgpKSEi9PW1lbcvHkTYWFh\nvcaDpS9k7feEYDKZcO/ePcEz3BKe8A1DERERlJqaylvKDQgIoLi4ONLr9WSxWOjgwYPk5uZGRUVF\nvLKJiYkUGRlp95jFqlWryGQyUVtbG7366qs0fvx4bkmkvb2dfH19af78+aTX68loNNKWLVvI3d2d\namtrnVoyciSHj48PxcfH0/nz53mfK1eu/GdJ5fhxys7O7vbSFYsuGo2GQkNDSafTkdlspoyMDFIq\nldxW+/z8fNqzZw+Pr1AZIRsL8WDxtTPx0N1lWxb7CdFotVpyd3enmJgYK19XVVUxxUtnZyc9//zz\nFBsbSx0dHWQ0Gmnr1q2kUCjo2rVrNnUR0tdevqsx15fkEOIRHx9PY8eOJZ1OR52dnbRkyRIKDAzk\nLam7ysMZPezFIEucs/Qn169fJwCk1Wq5tEN+96RlWxHQpwbPnTt3Wp2dKysro3HjxpFCoSAPDw9S\nq9WUl5dnMwATExNt1nn16lUaPnw4eXp6klKppKlTp1J9fb0VzejRo0mhUFD//v3J39+fCgsLne5A\nHMnh4+NDAKw+ISEhHE1sbCyNHj3apQ5ESJeWlhbSaDTk5uZGnp6epFar6ZNPPuF1DoGBgTyeQmVY\nbCzEg8XXrPHgym+eLLHgiCYjI8OmnwFY7ah1FC9lZWUUEhLC1TFs2DC7MenKoCVGzPUVOYR4tLS0\n0LRp00gmk5FSqaSRI0dSeXm5qDyc0cOeLixxztKf7Nmzh4KDg3nl/terTho8n7bBU6fTkbu7u9W3\ncyKiW7dukVar5c1knIHZbKaamhpqaGhwSKfT6aiqqspqQ0BvwWAw0LRp00ThJaTLrVu3qLKykgwG\nAzNPR2VYbSxUL4uvXY0HMezXW/Gi0+morq7uiYi5xy0HK4+6ujqqqamx6TdXeYhpT1fjfOLEiVaz\n4L+NskiDpwiQET1y4rqnf5NLASreBUL/G5j4lnX+hg0bIJfL8c477zyTy+g7duzAiBEj8Mc//lH6\nTUHCMxVzYsjRF3j0FXt+++23mDdvHqqrq3l34uYMbka/22rMvgD4Rkrx3130ucFTr9djwoQJOHfu\nnNWZtmcBJpPJaienBAnPQsyJIUdf4NFX7Dl9+nRs3LjRanfu8d8S7lXKpMHTRfS5XtrLywtFRUWi\nXmn3RDlEGjglPKMxJ4YcfYFHX7CnxWLB/v378cILL1jPmGwcmZLwFAyeAPCb3/xG8owECRIkdBNy\nudzmwClBRBtLJpAgQYIECRKkwVOCBAkSJEiQBk8JEiRIkCBBGjwlSJAgQYIEafCUIEGCBAkSnh30\nud22RIRZs2YhIyMDwcHBAB68TpGfn4/79+8jMjISKSkp3KHfiooKZGdn2+Q1ceJELF++HACQm5uL\ngoICGAwGzJ07F0lJSdzr7ADQ0NCAHTt2WPFIS0tDYGAgL23//v1oa2vDpk2brOgd1bNw4ULMmj0I\nteoAACAASURBVDULiYmJotiqtrYWK1euxMGDB7kLylnksAVHNgYevHqTm5uLwsJCdHR0IDQ0FGlp\naRg0aFC36nRkQ0f5ZrMZhw4dQkFBAUwmE2bPno3Vq1fDzc2Nozlz5gwOHz4MvV6PmTNnYsOGDVZH\nn4Rovv76a2RnZ6OxsRFjxozBli1beJdrs8SLGPYQ8our8cLafpyBkG8dgcV3PVm+N9q5xWJBVFQU\ncnJy8Nvf/lYahaSZpzjYt28fVCoVN3Du3r0bq1atQkREBBYvXozc3FzExMRw9EajEc3NzbyPVqvF\ngQMHUFNTAwBYv349kpOTMX78eMTExCArKwsJCQm8eq9cuYKPPvrIilfX485dyM/PR3JyMsf7YQjV\nc/HiRdy8eVMUO5nNZixduhTnz59He3u7U3I8CiEbA8CaNWvw5ptvYvLkyYiLi8OFCxcQFhYGvV7v\ndJ2ObCiUv3HjRuzYsQPR0dGIiYnBzp07sXr1ai7/2LFjWLRoESdHZmYmkpKSeDyEaL744gu88sor\n8Pf3R1JSEioqKjBlyhSenYXiRQx7sPjF1XhhaT/OQMi3jsDiu54s31vtXC6XIyUlBStWrIDFYpFG\noScVfelu287OTlKr1VRSUsJ7EWX79u3c/5cuXSIA9NNPP9mtY+HChRQeHk5Go5Gqq6tJJpPRxx9/\nzOXX1taSUqmkS5cucWnbtm2zupT+Ydy5c4fWrVtHSqWS1Gq11UXOLPWI+Rh2eno6jRgxwuqCbVZ9\nH311xpGNGxoaCAB9/vnnHE1bWxupVCo6dOgQc51CNhTKb2pqIjc3Nzp16hSXduLECZLL5dTa2kpm\ns5n8/Pxo165dXH5xcTEB4F5/YaEJDAykN954g8u/d+8eeXt705kzZ5jiRSx7dCf2nY0XofbDCiFd\nWO6eFvJLT5Z/HO181KhRvFjuLUiPYYuDPjXzPHr0KAYOHMi9/di1xPHw7K9racRoNNrkceLECZw+\nfRoffvghFAoFysrKQESYO3cuRxMQEICgoCAUFhZyaaWlpZgwYQIsFgtaWlqs+J49exalpaUoKipC\nSEiIVT5rPWKgpKQE7777LnJyckSRQ8jGcrkcOTk5mDJlCkfj5eWFgQMHoqGhgblOIRsK5avValRV\nVXHvKHbNqGQyGYgIP/zwA3Q6He86svDwcPj4+ODcuXMAIEhTXl6O6upqrF27lstXqVS4c+cO5syZ\nwxQvYtnD2djvTrwItR9WCOkiBBbf9WT5x9HOX3vtNWRlZUkzOOk3T9dx6tQpq3sY//znP2P9+vXw\n8PCAj48PMjMzkZCQgBdffNGqvMFgQGpqKtavX8/9ltD1mGxHRwfvYdnW1lb885//5DWKxsZGeHt7\no62tDX5+fnj//fe5x41jY2OxdOlSu7Kz1uMqOjo6EB8fj6ysLJt3/3ZHDiEbDx48GGvWrLHqZOrq\n6jB9+nRuGVCoTiEbCuXLZDKMGDECAHDjxg189dVX2LZtG1JTU+Ht7Y2LFy8CAIYPH84rN2zYMG4Z\nrbq62iGNWq2GSqVCbW0tFi1ahBs3buB3v/sdsrKyeJ2po3hh9YGQvs7EfnfjRaj9sEJIFyEI+aWn\ny7PqIWY7nz17Nt566y3cvn1bulVN+s3TNRQXF2Ps2LG8tKCgIAwdOhQffPAB3nvvPTQ1NSEqKspm\n+SNHjuD27dtIS0vj0sLCwjBo0CBs3ryZ+xa/d+9e1NfXo6OjA8CDy+h1Oh18fX3x3XffQavVQqPR\nYMGCBbh27RoAwMPDw6HsLPWIgZSUFAQHB2PZsmWiyeGMjYEHm0wSEhKwYsUKREREMNcpZEOh/IeR\nmZmJvXv3wmAwcIOCXq+HXC6Hu7s7j9bT05Pna0c0ra2tMJlMWLZsGZKSknD8+HEMGDAAU6dORWNj\nI1O8iGUPZ/3SnXgRaj+scMZ3tsDiu54sz6qHmO28q68rLi6WRiJp5unajEqv18PHx4dLu337NqZP\nn47Vq1dj165dkMlkOHv2LObMmQNvb2+rWWp2djaWLFnC4zFw4EAcPnwY8fHx+PTTTzFgwAD4+flh\nxowZ8PLy4pYg79+/D7lczi2N7du3D//4xz+Qm5uLcePGCcrPUo+r+PTTT1FQUICKigrR5HDWxhcv\nXsS8efMwc+ZM7N+/v9d0fxSHDh0CABQUFGDOnDkYPHgwFAoFLBYLLBYLb1eryWTiOlUWms7OTmRm\nZiI2NhYAMHnyZAwfPhy5ubnYunWrYLxkZ2e7bA9n/dLdeBFqP70FFr/0ZHlWiBnrHh4e8PLy4r6U\nSZBmnt2C2Wzmlua6cOHCBXR0dGD79u1cukajwcsvv4yTJ0/yyt+4cQPl5eWIi4uz4h0dHY3q6moc\nO3YMeXl5uHz5Mu7evQt/f///fIvo14/X6ORyOUaNGgWdTsesA0s9riA9PR1EBI1Gg/DwcCxevBgA\nEB8fj/T09G7J4YyN8/LyMGPGDCxfvhx5eXm84yE9rbsjm4eGhqKwsJA7StLc3MyjaWpqwuDBgwFA\nkKaLbtKkSVxe//79MWbMGG5pkCVeXLWHM35xNV6E2k9vgMV3PVne2ZgTK9ZlMhnX90mQBs9uQaVS\nwcPDgxf8KpUKRASDwcCjNRqNVt/yvvzyS2557dHlnE2bNsFgMECj0WDKlClobW1FaWkpIiMjuWUT\nf39/1NbWcuWICJWVlRg5ciTzspNQPa4iNTUVW7duxdKlS7F06VLMnj2ba8wvvfRSt+RgtfHRo0eR\nmJiIvXv3Yvfu3bwvOb2he5efVCoV6urqeH66e/cuBgwYgJCQECgUCpSUlHD5ra2tuHnzJsLCwgBA\nkKZrs1pVVRWv7p9//hl+fn5M8SKGPZyJfVfiRaj99BZYfNeT5Z1ZXhYr1k0mE+7du8c7PyzhCUJf\nOqoSERFBqamp3P/t7e0UEBBAcXFxpNfryWKx0MGDB8nNzY2Kiop4ZRMTEykyMtLuUYxVq1aRyWSi\ntrY2evXVV2n8+PFksVi4enx9fWn+/Pmk1+vJaDTSli1byN3dnWpra634RUVF2dyKL1SPj48PxcfH\n0/nz53mfK1eu/Gcb+fHjlJ2dzWTLH3/80ebRAyE58vPzac+ePcw21mq15O7uTjExMVayV1VVMdXJ\nakNH+Z2dnfT8889TbGwsdXR0kNFopK1bt5JCoaBr164REVF8fDyNHTuWdDoddXZ20pIlSygwMJBM\nJhPHR4hGo9FQaGgo6XQ6MpvNlJGRQUqlkjvywBIvrtqDNfbFiBeh9uNMHfZ8x8JDyC9CPFh874wu\nPdnOiYiuX79OAEir1XbLztJRlceLPjV47ty50+rsXFlZGY0bN44UCgV5eHiQWq2mvLw8m4GemJho\ns86rV6/S8OHDydPTk5RKJU2dOpXq6+utaEaPHk0KhYL69+9P/v7+VFhY6FSjEqrHx8eHAFh9QkJC\nOJrY2FgaPXq0S52hkBzx8fEUGBjIbOOMjAybcgOg119/ndnGrg6eXbKGhIRwfho2bBjPTy0tLTRt\n2jSSyWSkVCpp5MiRVF5ezuMhRNPS0kIajYbc3NzI09OT1Go1ffLJJ07Fixj2YIl9MeJFqP04U4c9\nXVh4CPlFiAeL753RpSfbORHRnj17KDg4uNt2lgZPafDkoNPpyN3dnZvNPIxbt26RVqu1+82d5RB1\nTU0NNTQ0OKTT6XRUVVVFZrO5R+uxB4PBQNOmTXPZzt2Ro7dsLAZ0Oh3V1dXZza+rq6OamhqHfhSi\nuXXrFlVWVpLBYOhWvIhlD0d+ESteejomneFhzy+sPBz59XG2r0cxceJE3kyzN3wpDZ7iQUZE1JvL\nxMUpQMW7QOh/AxPfss7fsGED5HI53nnnnWdyGX3Hjh0YMWIE/vjHP0q/KUjoE/EiRh1PEw8x8O23\n32LevHmorq7m7iruLdlOvAjc/RGYfQHwjZTaUHfR5wZPvV6PCRMm4Ny5c4KHup9GmEwm9OvXT4pM\nCX0mXsSo42niIQamT5+OjRs38o4c9ZZs0uApDvpcL+3l5YWioqJuv4TwxDtEGjgl9LF4EaOOp4mH\nq7BYLNi/fz9eeOEFqe1Lg6e4kK6qkiBBwtMKuVxuNXBKeAL9KJlAggQJEiRIkAZPCRIkSJAgQRo8\nJUiQIEGCBGnwlCBBggQJEp5g9LkNQ0SEWbNmISMjA8HBwQAeXEien5+P+/fvIzIyEikpKdzZqIqK\nCmRnZ9vkNXHiRCxfvhwAkJubi4KCAhgMBsydOxdJSUm8i70bGhqwY8cOKx5paWkIDAyE2WxGbm4u\nCgsL0dHRgdDQUKSlpWHQoEE8+jNnzuDw4cPQ6/WYOXMmNmzYwO0cXrhwIWbNmoXExMRu20dIThY5\nWHk8DEf6s/pAyJcs+WazGYcOHUJBQQFMJhNmz56N1atX8y6pF/L1w9i/fz/a2tqwadOmbuXbo2GR\nkyWmhOzhrKxC6K4uztq9O3KwwlHs90b53ugrLBYLoqKikJOT4/TbqxKe0pnnvn37oFKpuIFz9+7d\nWLVqFSIiIrB48WLk5uYiJiaGozcajWhubuZ9tFotDhw4gJqaGgDA+vXrkZycjPHjxyMmJgZZWVlI\nSEjg1XvlyhV89NFHVry63uxbs2YN3nzzTUyePBlxcXG4cOECwsLCoNfrOR7Hjh3DokWLuHoyMzOR\nlJTE5V+8eNGph3ltQUhOFjlYeDwKR/qz+IDFl0L5ALBx40bs2LED0dHRiImJwc6dO7F69Woun8XX\nXcjPz0dycjJPRmfyHdEIyckSUyz2cEZWIbiiizN2764cLBCK/Z4u31t9hVwuR0pKClasWAGLxSKN\nZI9pptdnrufr7OwktVpNJSUlvEuYt2/fzv1/6dIlAkA//fST3ToWLlxI4eHhZDQaqbq6mmQyGX38\n8cdcfm1tLSmVSrp06RKXtm3bNqt7dbvQ0NBAAOjzzz/n0tra2kilUtGhQ4e467r8/Pxo165dHE1x\ncTEB4C4U9/Hxoa1bt7pkP0dyssohxKM7+jvyAasvhfKbmprIzc2NTp06xdGcOHGC5HI5tba2Mvv6\nzp07tG7dOlIqlaRWq63uLxXKF6IRkpPVpiyxzyKrEFzVhdXursjBemWeUOz3ZPnH0VeMGjWK5xvp\ner7eQ5+aeR49ehQDBw7knoXqWp54eEbUtQxkNBpt8jhx4gROnz6NDz/8EAqFAmVlZSAizJ07l6MJ\nCAhAUFAQCgsLubTS0lJMmDABFosFLS0tVt/ycnJyMGXKFC7Ny8sLAwcORENDAwDghx9+gE6n490Y\nEh4eDh8fH5w7d040GzmSk1UOIR62vuUK6e/IB6y+FMpXq9WoqqqCRqPhLZHJZDIQEbOvz549i9LS\nUhQVFSEkJMRKfqF8IRohOVltyhL7LLIKwVVdWO3uihwscLUNitGGe7uveO2115CVlSXNAp/13zxP\nnTrFCygA+POf/4z169fDw8MDPj4+yMzMREJCAl588UWr8gaDAampqVi/fj33O8Bzzz0HAOjo6OD+\nBh689ffPf/6T+7+srAyNjY3w9vZGW1sb/Pz88P7772PevHkYPHgw1qxZY9XQ6+rqMH36dADgHkoe\nPnw4j27YsGEuL9U+DEdyssohxONRsOjvyAesvhTKl8lkGDFiBIAHjzd/9dVX2LZtG1JTU+Ht7c3s\n69jYWCxdutSujYXyhWiE5GS1KUvss8gqBFd1YbW7K3KwwNU2KEYb7u2+Yvbs2Xjrrbdw+/Zt6XKZ\nZ/k3z+LiYowdO5aXFhQUhKFDh+KDDz7Ae++9h6amJkRFRdksf+TIEdy+fRtpaWlcWlhYGAYNGoTN\nmzdz3+L37t2L+vp6dHR0AHhwn65Op4Ovry++++47aLVaaDQaLFiwANeuXbOqp6KiAgkJCVixYgUi\nIiI4HnK5HO7u7jxaT09Prh5XwSKnkBzO6moLtvR35ANWXzrj68zMTOzduxcGg4G7A5nF1wDg4eHh\nUD+hfFYae3Ky2pTFHqxy9KQurHYXSw5H7cOVNtgTbbin+4qu/rK4uFgazZ7VmWdXx+7j48Ol3b59\nG9OnT8fq1auxa9cuyGQynD17FnPmzIG3t7fVLDU7OxtLlizh8Rg4cCAOHz6M+Ph4fPrppxgwYAD8\n/PwwY8YMeHl5ccsq9+/fh1wu55bG9u3bh3/84x/Izc3FuHHjOH4XL17EvHnzMHPmTOzfv59LVygU\nsFgssFgsvB2GJpPJqpF0FyxyCsnhjK62YE9/Rz5g8eWkSZOc8vWhQ4cAAAUFBZgzZw4GDx6M2NhY\nQV/3NuzJKWRTZ2P/cerC0sZ6A662QbHbcG/0FR4eHvDy8kJjY6M0mj2rM0+z2cwtE3XhwoUL6Ojo\nwPbt27l0jUaDl19+GSdPnuSVv3HjBsrLyxEXF2fFOzo6GtXV1Th27Bjy8vJw+fJl3L17F/7+/v/5\nFtGvHy+Q5XI5Ro0aBZ1Ox6Xl5eVhxowZWL58OfLy8nhb9X19fQEAzc3NvLqbmpowePBg8b7tCMjJ\nIgeLrrbgSH8hHwj50hlfP+rb0NBQ7rc1Fl8/Djwqp5BNu2uPx6VLX7C7q21QzDbcm32FTCbj+k8J\nz+DgqVKp4OHhwQsolUoFIoLBYODRGo1Gq2+0X375JQYMGICpU6daLcVs2rQJBoMBGo0GU6ZMQWtr\nK0pLSxEZGcktefj7+6O2tpYrR0SorKzEyJEjATzYzJSYmIi9e/di9+7dvEEeAEJCQqBQKFBSUsKl\ntba24ubNmwgLCxNtWVtITiE5WHjYgpD+jnzA4ksWXxcXF0OlUqGuro4n+927dzFgwAAmX/cGhORk\nsakzsf+4dekrdne1DYrVhnuzrzCZTLh37x43IEvoRfSloyoRERGUmprK/d/e3k4BAQEUFxdHer2e\nLBYLHTx4kNzc3KioqIhXNjExkSIjI23WGRgYSKtWrSKTyURtbW306quv0vjx48lisXD1+Pr60vz5\n80mv15PRaKQtW7aQu7s71dbWklarJXd3d4qJiaHz58/zPlVVVVw98fHxNHbsWNLpdNTZ2UlLliyh\nwMBAMplM3Pbz+Ph4Kx5Xrlz5zzby48d5r8s/DCE5WeRg4ZGfn0979uzh+LHq78gHQr5k8XVnZyc9\n//zzFBsbSx0dHWQ0Gmnr1q2kUCjo2rVrTL5+FFFRUQ6PRAjl26JhkVPIps7EviNZHcWTWLqw2N1V\nOVh5CLVBIR5C5YV49GZfQUR0/fp1AkBarZbZRtJRFXHQpwbPnTt3Wp0/LCsro3HjxpFCoSAPDw9S\nq9WUl5dns7ElJibarPPq1as0fPhw8vT0JKVSSVOnTqX6+normtGjR5NCoaD+/fuTv78/FRYWEhFR\nRkYGAbD5ef311zkeLS0tNG3aNJLJZKRUKmnkyJFUXl7O5fv4+NjkERISwtHExsbS6NGj7drPkZys\ncgjxiI+Pp8DAQO5/Vv0d+YDFlyy+Lisro5CQEE72YcOG8WRn8XVPD54scrLYlDX2HckhFE9i6MJi\ndzHkYOEhFPtCPITKC/Hozb6CiGjPnj0UHBzslI2kwfMpHDx1Oh25u7vzvqF14datW6TVau3OIFgO\nQNfU1FBDQ4NDOp1OR1VVVWQ2m7utY11dHdXU1HSLh8FgoGnTpgnSscgpJIcYunYHQr5k8bVOp6O6\nujqXfN0bcCSnWPYSI57E0MWR3cWQwxke9mKflYejtiOmTV3pK4iIJk6cyJtpssgmDZ7ioE+d8xwy\nZAhWrlyJnJwcvPPOO7w8VzfdyOVyq3NV9mRwFa5sknj77beZ7r5lkVNIDjF07Q6EfMnia0eys/q6\nt2K6p+0lRjyJoYsju4shhzM87MU+Kw9HbUdMm7rSV3z77beor6/n3R0tpmwSBDZqUdc1Ib21ASEF\nqHgXCP1vYOJb1vl6vR4TJkzAuXPnHJ6Le1phMpnQr18/KTIlPFXxJIYcTxMPMTB9+nRs3LiRd2yJ\nRbYTLwJ3fwRmXwB8I6U20l08tgjQawHdl7ZyvPD3nVfxy3U36H6SXCJBwtMRT/0kHiKCiPD2sqMY\n4j7kkX5UWDZTh9QqnsyW9e9d2zf/vwcf2xgoeUaCBAkSHHakQ3DdFQ7Sa85P1uA5PBZovAT07mKx\nBAkSJEjogrsaGPQ7yQ4ufX3p7d88JUiQIEGCBGnm6TR+BJABoFOyvgQJEiQ8FgwFsBNAf8kUT87g\nmQvgiGR5CRIkSHisiAHwfyQzPDmDZ9cFxq8CmCd5QIIECRJ6Ff8XQAMAk2SKJ2vw7EIogJVWqUSE\nWbNmISMjA8HBwQ/mqrm5KCgogMFgwNy5c5GUlMS9ClJRUYHs7GybNUycOBHLly+H2WxGbm4uCgsL\n0dHRgdDQUKSlpWHQoEFMPMLCwgTrAB68DHPo0CEUFBTAZDJh9uzZWL16NfeiwsKFCzFr1izRDjHX\n1tZi5cqVOHjwIIYNG8bL+/rrr5GdnY3GxkaMGTMGW7ZssXl5NIv9uDUDB34Q0r0LZ86cweHDh6HX\n6zFz5kxs2LABCoWC4+HIT0JyOKNLXl4e8vPzcf/+fURGRiIlJQX9+z9YwmpoaMCOHTuseKSlpSEw\nMNAqff/+/Whra8OmTZu4NFYejvzEYg9nZRWCLV1YY86RTcWWwxEcxVhvlGeNY0e6CvUVFosFUVFR\nyMnJsXp0Xhjv/nvwlOAK+txm5X379kGlUnED5/r165GcnIzx48cjJiYGWVlZSEhI4OiNRiOam5t5\nH61WiwMHDqCmpgYAsGbNGrz55puYPHky4uLicOHCBYSFhUGv1zPxYKkDADZu3IgdO3YgOjoaMTEx\n2LlzJ1avXs3lX7x40emX4h010KVLl+L8+fNob2/n5X3xxRd45ZVX4O/vj6SkJFRUVGDKlClWdKz2\nY/GDkO4AcOzYMSxatIjjkZmZiaSkJC5fyE9CcrDqsnv3bqxatQoRERFYvHgxcnNzERMTw+VfuXIF\nH330kRWvroeeH0Z+fj6Sk5N5/Fl5CPmJxR7OyCoEe7qwxJyQTcWUwxGEYqyny7P6TUhXob5CLpcj\nJSUFK1asgMVikUayx4HevxFw47+v1LW+3Lazs5PUajWVlJQQEVF1dTXJZDL6+OOPOZra2lpSKpV0\n6dIluzUsXLiQwsPDyWg0UkNDAwGgzz//nMtva2sjlUpFhw4dYuLBkt/U1ERubm506tQpjubEiRMk\nl8uptbWVu+x569atolgxPT2dRowYQQCooqLC6hWZN954g/v/3r175O3tTWfOnGHi/ahuQn5g0d1s\nNpOfnx/t2rWLoykuLiYAVFlZyeSn7sSDLT8GBgbS9u3buf8vXbpEAOinn34iIqJt27ZZPVDwKO7c\nuUPr1q0jpVJJarXa6hJzFh6O/MQatyz1CEFIF9aYc2RTMeVwdLeuoxjr6fJExOw3IV1Z+4pRo0bx\n2h0bfvvvPli63NYV9KmZ59GjRzFw4EBMmDABAFBWVgYiwty5czmagIAABAUFWT0q3IUTJ07g9OnT\n+PDDD6FQKCCXy5GTk4MpU6ZwNF5eXhg4cCAaGhqYeLDkq9VqVFVVQaPR8L6py2QyiH0aqKSkBO++\n+y5ycnKs8srLy1FdXY21a9dyaSqVCnfu3MGcOXMEedvSTcgPLLr/8MMP0Ol0vKvEwsPD4ePjg3Pn\nzjH5ydl4sOdHi8XCm5l1LT0bjUYAQGlpKSZMmACLxYKWlhabdjp79ixKS0tRVFSEkJAQq3whHkJ+\nYo1bFlmFIKSLUMyx2FQsORxBKMZ6unyX3ix+c1XXLrz22mvIysqSZoHP+szz97//PW3YsIH7/9y5\ncwSAGhsbeXRDhgyhhIQEq/K//PILDR06lPf0jy0UFBQQALp8+bLTPFjqqKyspAMHDpCPjw9t3rzZ\n6W+TjtDe3k5BQUF05MgR+vHHH61mAX/9619JpVLRxYsXKSIign7961/TtGnTqLS0VJC3Pd2c8YM9\n3U+fPk0A6P79+zz6SZMmUXJyMpOfnJHDkZ+OHTtGv/rVryg9PZ0OHjxII0eO5JUPCAigsLAwUqlU\nBID8/Pzo73//u9UqiaPns4R4dMdPtuKWRVYhCOkiFHMsNhVDDiF0J8bELO+M34R0Ze0rvvnmG5LJ\nZNTU1CTNPJ/lmWdxcTHGjh3L/R8WFoZBgwZh8+bN3LfavXv3or6+Hh0d1hc0HjlyBLdv30ZaWprd\nOioqKpCQkIAVK1YgIiLCaR4sdWRmZmLv3r0wGAyiX26fkpKC4OBgLFu2zGZ+a2srTCYTli1bhqSk\nJBw/fhwDBgzA1KlT0djY6JC3Pd2c8YM93fV6PeRyOdzd3Xn0np6eNn1py0/OyOHIT0FBQRg6dCg+\n+OADvPfee2hqakJUVBQnp06ng6+vL7777jtotVpoNBosWLAA165d43h4eHjYtSMLD2f9ZMserLIK\nwZEuLDEnZFOx5BCCszEmdnln+htXde1CV39ZXFwszQSf1Zlne3s7AaDPPvuMl/7ZZ5+RSqUib29v\n8vf3p0mTJtGMGTPoT3/6kxXn4OBgm+ld+Oqrr8jb25uWLFnCexneGR5C+Y/KLpPJ6OTJk6LMPM+c\nOUO+vr7U3NxMRGRzFpCdnU0AuDq7ZmG+vr70l7/8xSF/R7o54wdbuv/tb38jAFbvFk6ePJnWrVvH\n7CdWOezp0tTURM899xylpqZy72MWFBSQXC7nYu9f//oXT06z2UxBQUG0du1am7ramjkI8XDGT47s\n4aysQnhUF5aYY7Gpq3KwwJkY64ny3elvXJ15EhGpVCo6cOCANPN8VmeeZvOD858ymYyXHh0djerq\nahw7dgx5eXm4fPky7t69a/UO3o0bN1BeXo64uDib/PPy8jBjxgwsX74ceXl5VkcoWHgI5T+K6Oho\nhIaG2v191lmkp6eDiKDRaBAeHo7FixcDAOLj45Geng7gP28/Tpo0iSvXv39/jBkzBtXV1XZ5C+nG\n6gd7uncdv2hububRNTU18d6rFPITixyOdLlw4QI6Ojqwfft2LtY0Gg1efvllnDx5EgDQG7zSZgAA\nEXpJREFUr18/7je7rt+xRo0aBZ1Ox+wrIR6sfhKyhxiyuhpzLDbtDbDGWE+Vd7a/EQsymYzrPyX0\nHvrM4KlSqeDh4cELXL1ej02bNsFgMECj0WDKlClobW1FaWkpIiP5D9F9+eWX3LKXrY1IiYmJ2Lt3\nL3bv3m01QLPwEMovLi6GSqVCXV3dw7N63L17FwMGDBDFRqmpqdi6dSuWLl2KpUuXYvbs2dyA8tJL\nLwEAt9mqqqqKV/bnn3+Gn5+fXd6OdBPyA4vuISEhUCgUKCkp4S0x37x5E2FhYUx+Yo0HR7qoVCoQ\nEQwGAy/daDTCy8sLxcXF8Pf3R21tLU+XyspKjBw5kvnnByEeLH4SsocYsooRc0I27S2wxFhPlne2\nvxEDJpMJ9+7ds3mGW8IztGEoIiKCUlNTrbbAr1q1ikwmE7W1tdGrr75K48eP55aHupCYmEiRkZFW\nPLVaLbm7u1NMTAydP3+e96mqqmLiwZLf2dlJzz//PMXGxlJHRwcZjUbaunUrKRQKunbtGrcUEx8f\nbyXHlStXOD7Hjx+n7OxsJkva27yh0WgoNDSUdDodmc1mysjIIKVSyW23z8/Ppz179jiluyM/sOhO\nRBQfH09jx44lnU5HnZ2dtGTJEgoMDCSTycTsJ5Z4cKRLe3s7BQQEUFxcHOn1erJYLHTw4EFyc3Oj\noqIiam9vJ19fX5o/fz7p9XoyGo20ZcsWcnd3p9raWqZlN1YejvzEYg+WepyJJ5blUlsxJ2RTseRg\n4eEoxlh4CJUX4uFMfyO0bCvUVxARXb9+nQCQVqt1ws7Ssq0Y6FOD586dO63OrF29epWGDx9Onp6e\npFQqaerUqVRfX28zABMTE63SMzIyCIDNz6M7Me3xYM0vKyujkJAQUigU1L9/fxo2bBgVFhbyGoQt\nOUJCQjia2NhYGj16tEuDZ0tLC2k0GnJzcyNPT09Sq9X0ySef8DqIwMBAp3QT8oOQ7l1yTZs2jWQy\nGSmVSho5ciSVl5c75SeWeGDx07hx40ihUJCHhwep1WrKy8vj1TF69GhOF39/fytdhDo/Fh6O/OSM\nPRzV40w8dXfwZLGpGHKw8HAUYyw8hMoL8XCmvxEaPIX6CiKiPXv2UHBwsJN2lgbPp27w1Ol05O7u\nbvUNzWw2U01NDTU0NDwRRtXpdFRXV9etsgaDgaZNmyaKHLdu3aLKykoyGAyi8GPxA4vudXV1VFNT\nY7UxQ0w5WO2j1WqtVjEe1qWqqqrbcrLyEMNP9uoRM55csakYcjjDw16MsfJwFKO9bVNHmDhxIm+m\nySabNHiKgcfwnmcKHtyt+N8A3rLK3bBhA+RyOd55551nchl9x44dGDFiBP74xz9KvylIeGriSQw5\nniYeYuDbb7/FvHnzUF1dzd0hzCbbi3jwNOQFAJFSI+nuRq2+Nnjq9XpMmDAB586dE/2M5JMAk8mE\nfv36SZEp4amKJzHkeJp4iIHp06dj48aNvBuR2GSTBk8x0Od6aS8vLxQVFTn1isFT5RBp4JTwFMaT\nGHI8TTxchcViwf79+/HCCy9I/Yc0eP4Hv/nNbyTPSJAgQYIdyOVyq4FTQi/7QDKBBAkSJEiQIA2e\nEiRIkCBBgjR4SpAgQYIECdLgKUGCBAkSJEiDpwQJEiRIkPDsoM/ttiUizJo1CxkZGQgODgYA5Obm\noqCgAAaDAXPnzkVSUhL3kkRFRQWys7Nt8po4cSKWL18Os9mM3NxcFBYWoqOjA6GhoUhLS8OgQYOY\neQAPXkrIz8/H/fv3ERkZiZSUFO5wMguPhQsXYtasWUhMTHTJRl9//TWys7PR2NiIMWPGYMuWLbyL\noYX0dYT9+/ejra0NmzZtsktTW1uLlStX4uDBgxg2bBgAoKGhATt27LCiTUtLQ2BgIBMPIV+z6G82\nm3Ho0CEUFBTAZDJh9uzZWL16tdWrFkI2dORrVl3OnDmDw4cPQ6/XY+bMmdiwYYPVESxH9bjiR2fi\n2ln/ixFD9sBis54sz2JzIRqhdm6xWBAVFYWcnBz89re/lUYhaeYpDvbt2weVSsUNnOvXr0dycjLG\njx+PmJgYZGVlISEhgaM3Go1obm7mfbRaLQ4cOICamhoAwJo1a/Dmm29i8uTJiIuLw4ULFxAWFga9\nXs/MY/fu3Vi1ahUiIiKwePFi5ObmIiYmxik5Ll68iJs3b7pkny+++AKvvPIK/P39kZSUhIqKCkyZ\nMgXt7e0cjZC+9pCfn4/k5GROXnudy9KlS3H+/HlenVeuXMFHH31kZYOuR6tZeAj5mkX/jRs3YseO\nHYiOjkZMTAx27tyJ1atXO8VDyNcsuhw7dgyLFi3idMnMzERSUhKvrFA93fWjMzHprP+F4AoPFpv1\nZHlWmwvRCLVzuVyOlJQUrFixAhaLRRqFnlT0pbttOzs7Sa1WU0lJCRERVVdXk0wmo48//pijqa2t\nJaVSSZcuXbJbw8KFCyk8PJyMRiM1NDQQAPr888+5/La2NlKpVHTo0CEmHl2veWzfvp3Lv3TpEgGg\nn376iZmHq49hd8nxxhtvcP/fu3ePvL296cyZM0RE3dL3zp07tG7dOlIqlaRWqx1eDJ6enk4jRoyw\nuhx827ZtVpf6O8OD1deO9G9qaiI3Nzc6deoUl3/ixAmSy+XU2trKbENnfG1LF7PZTH5+frRr1y6O\nrri4mABwL9sI1dPduBXCozHprP/twVUerDbrqfKsbYeFhrWdjxo1ihervQfpblsx0KdmnkePHsXA\ngQO5tw7LyspARJg7dy5HExAQgKCgILsPTJ84cQKnT5/Ghx9+CIVCAblcjpycHEyZMoWj8fLywsCB\nA9HQ0MDEo2up5eFZVNdSotFoZObhKsrLy1FdXY21a9dyaSqVCnfu3MGcOXM4uZzV9+zZsygtLUVR\nURFCQkLs1l9SUoJ3330XOTk5VnmlpaWYMGECLBYLWlpanObB4msh/dVqNaqqqqDRaHgzQ5lMhq5b\nKFlsyOpre7r88MMP0Ol0vGvTwsPD4ePjg3PnzvGW7+zV0x0/CsFeTLL63xFc5cFqs54qz9p2xPTL\na6+9hqysLGkGJ808XZ95/v73v6cNGzZw/587d44AUGNjI49uyJAhlJCQYFX+l19+oaFDh9p9+qcL\nBQUFBIAuX77MzOPYsWP0q1/9itLT0+ngwYM0cuRImzI44uHqzPOvf/0rqVQqunjxIkVERNCvf/1r\nmjZtGpWWlnZb364Zv9CTVO3t7RQUFERHjhyx+SxVQEAAhYWFkUqlIgDk5+dHf//735l5sPjaGf0r\nKyvpwIED5OPjQ5s3b3bKhiy+dqTL6dOnCQDdv3+fV2bSpEmUnJzcrZhi8aMjOGobLP4Xgqs8WG3W\nU+VdsfmjNKzt/JtvviGZTEZNTU3SzFOaebqG4uJijB07lvs/LCwMgwYNwubNm7lv6Hv37kV9fT06\nOjqsyh85cgS3b99GWlqaw00UCQkJWLFiBSIiIph5BAUFYejQofjggw/w3nvvoampCVFRUTbrYJGj\nO2htbYXJZMKyZcuQlJSE48ePY8CAAZg6dSoaGxu7pS8AeHh4CNadkpKC4OBgLFu2zCpPr9dDp9PB\n19cX3333HbRaLTQaDRYsWIBr164x8WDxtTP6Z2ZmYu/evTAYDLwHBlh4sPhayB5yuRzu7u68dE9P\nT17cOhNTLH50BEcxyeJ/IbjKg9VmPVW+uzZ3xS9dfV1xcbE0i5Nmnt2feba3txMA+uyzz3jpn332\nGalUKvL29iZ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"prompt_number": 3, "text": [ "" ] } ], "prompt_number": 3 }, { "cell_type": "code", "collapsed": false, "input": [ "%pylab" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Using matplotlib backend: Qt4Agg\n", "Populating the interactive namespace from numpy and matplotlib\n" ] } ], "prompt_number": 1 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Load some actual timestamp data" ] }, { "cell_type": "code", "collapsed": false, "input": [ "ts = np.loadtxt('timestamp_data.txt', dtype=np.uint64)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 4 }, { "cell_type": "code", "collapsed": false, "input": [ "print ts.shape\n", "ts" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "(1000000,)\n" ] }, { "metadata": {}, "output_type": "pyout", "prompt_number": 3, "text": [ "array([ 574428, 574431, 574435, ..., 22850166453,\n", " 22850166455, 22850166456], dtype=uint64)" ] } ], "prompt_number": 3 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Pure python code (no extensions)" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from python_version import find_potential_event_ptrs as fpep_py" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 4 }, { "cell_type": "code", "collapsed": false, "input": [ "ptrs, lens = fpep_py(ts, 25, 2, 18)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 5 }, { "cell_type": "code", "collapsed": false, "input": [ "%%timeit\n", "ptrs, lens = fpep_py(ts, 25, 2, 18)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "1 loops, best of 3: 4.33 s per loop\n" ] } ], "prompt_number": 8 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Cython version" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from cython_version import find_potential_event_ptrs as fpep_cy" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 5 }, { "cell_type": "code", "collapsed": false, "input": [ "ptrs, lens = fpep_cy(ts, 25, 2, 18)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 6 }, { "cell_type": "code", "collapsed": false, "input": [ "%%timeit\n", "ptrs, lens = fpep_cy(ts, 25, 2, 18)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "100 loops, best of 3: 9.84 ms per loop\n" ] } ], "prompt_number": 7 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "C/API version" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from c_code.c_version import find_potential_event_ptrs as fpep_c" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 8 }, { "cell_type": "code", "collapsed": false, "input": [ "ptrs, lens = fpep_c(ts, 25, 2, 18)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 9 }, { "cell_type": "code", "collapsed": false, "input": [ "%%timeit\n", "ptrs, lens = fpep_c(ts, 25, 2, 18)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "100 loops, best of 3: 14.8 ms per loop\n" ] } ], "prompt_number": 10 }, { "cell_type": "code", "collapsed": false, "input": [ "ptrs, lens = fpep_c(ts, 25, 2, 18)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 20 }, { "cell_type": "code", "collapsed": false, "input": [ "len(ptrs)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 21, "text": [ "283737" ] } ], "prompt_number": 21 }, { "cell_type": "code", "collapsed": false, "input": [ "ptrs" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 13, "text": [ "[0,\n", " 3,\n", " 9,\n", " 11,\n", " 14,\n", " 17,\n", " 19,\n", " 22,\n", " 25,\n", " 28,\n", " 32,\n", " 39,\n", " 41,\n", " 44,\n", " 49,\n", " 51,\n", " 53,\n", " 60,\n", " 63,\n", " 65,\n", " 69,\n", " 72,\n", " 74,\n", " 82,\n", " 87,\n", " 92,\n", " 96,\n", " 98,\n", " 100,\n", " 104,\n", " 111,\n", " 113,\n", " 118,\n", " 120,\n", " 127,\n", " 131,\n", " 134,\n", " 141,\n", " 143,\n", " 146,\n", " 148,\n", " 151,\n", " 154,\n", " 162,\n", " 169,\n", " 172,\n", " 175,\n", " 182,\n", " 188,\n", " 192,\n", " 197,\n", " 199,\n", " 202,\n", " 204,\n", " 207,\n", " 209,\n", " 212,\n", " 217,\n", " 220,\n", " 222,\n", " 227,\n", " 232,\n", " 234,\n", " 241,\n", " 245,\n", " 248,\n", " 253,\n", " 260,\n", " 263,\n", " 266,\n", " 268,\n", " 271,\n", " 276,\n", " 280,\n", " 285,\n", " 288,\n", " 291,\n", " 295,\n", " 302,\n", " 304,\n", " 307,\n", " 313,\n", " 315,\n", " 318,\n", " 320,\n", " 323,\n", " 325,\n", " 329,\n", " 331,\n", " 333,\n", " 335,\n", " 341,\n", " 347,\n", " 355,\n", " 357,\n", " 359,\n", " 364,\n", " 366,\n", " 369,\n", " 374,\n", " 377,\n", " 380,\n", " 383,\n", " 388,\n", " 391,\n", " 393,\n", " 396,\n", " 402,\n", " 404,\n", " 406,\n", " 411,\n", " 419,\n", " 421,\n", " 423,\n", " 426,\n", " 429,\n", " 435,\n", " 439,\n", " 442,\n", " 446,\n", " 451,\n", " 454,\n", " 456,\n", " 460,\n", " 464,\n", " 466,\n", " 468,\n", " 471,\n", " 473,\n", " 477,\n", " 480,\n", " 483,\n", " 485,\n", " 487,\n", " 489,\n", " 493,\n", " 495,\n", " 499,\n", " 501,\n", " 503,\n", " 506,\n", " 511,\n", " 515,\n", " 518,\n", " 522,\n", " 524,\n", " 528,\n", " 535,\n", " 537,\n", " 543,\n", " 545,\n", " 547,\n", " 551,\n", " 555,\n", " 559,\n", " 569,\n", " 572,\n", " 578,\n", " 580,\n", " 584,\n", " 591,\n", " 594,\n", " 596,\n", " 599,\n", " 605,\n", " 609,\n", " 613,\n", " 619,\n", " 621,\n", " 623,\n", " 628,\n", " 630,\n", " 632,\n", " 635,\n", " 643,\n", " 647,\n", " 655,\n", " 658,\n", " 660,\n", " 664,\n", " 670,\n", " 672,\n", " 674,\n", " 678,\n", " 682,\n", " 689,\n", " 691,\n", " 693,\n", " 695,\n", " 697,\n", " 701,\n", " 706,\n", " 710,\n", " 714,\n", " 716,\n", " 721,\n", " 726,\n", " 733,\n", " 736,\n", " 738,\n", " 740,\n", " 743,\n", " 746,\n", " 748,\n", " 750,\n", " 753,\n", " 762,\n", " 765,\n", " 768,\n", " 771,\n", " 774,\n", " 779,\n", " 781,\n", " 783,\n", " 785,\n", " 788,\n", " 790,\n", " 796,\n", " 801,\n", " 803,\n", " 805,\n", " 807,\n", " 809,\n", " 813,\n", " 816,\n", " 821,\n", " 825,\n", " 828,\n", " 836,\n", " 839,\n", " 844,\n", " 846,\n", " 850,\n", " 853,\n", " 857,\n", " 861,\n", " 865,\n", " 873,\n", " 875,\n", " 878,\n", " 881,\n", " 883,\n", " 889,\n", " 891,\n", " 894,\n", " 898]" ] } ], "prompt_number": 13 }, { "cell_type": "code", "collapsed": false, "input": [], "language": "python", "metadata": {}, "outputs": [] } ], "metadata": {} } ] }