{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# The Moran Process with the Axelrod library\n", "\n", "The [Moran process](https://en.wikipedia.org/wiki/Moran_process) is a common population model of natural selection. With the wealth of strategies in the [axelrod library](https://github.com/Axelrod-Python), implementing a Moran process is simple.\n", "\n", "The basic idea of the model is that we have a population of $N$ individuals. The population size is fixed throughout. Each round every player interacts with every other player, in this case the default game in the axelrod library, the [prisoner's dilemma](https://en.wikipedia.org/wiki/Prisoner's_dilemma).\n", "\n", "After the scores are summed for each player, we choose one to reproduce proportionally to its score ([fitness proportionate selection](https://en.wikipedia.org/wiki/Fitness_proportionate_selection)). We also choose one player to replace, at random uniformly. The process continues until the population consists of a single type ([fixation](https://en.wikipedia.org/wiki/Fixation_%28population_genetics%29)).\n", "\n", "The Moran process is natively supported in the axelrod library." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "import itertools\n", "import random\n", "\n", "import matplotlib.pyplot as plt\n", "import axelrod as axl\n", "plt.rcParams['figure.figsize'] = (10, 10)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Moran Proccesses\n", "\n", "Let's create a population of players and run the population dynamic." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The winner is: Grudger\n" ] } ], "source": [ "# Create a population of size 30\n", "N = 20\n", "players = []\n", "for _ in range(N):\n", " player = random.choice(axl.basic_strategies)\n", " players.append(player())\n", "\n", "# Run the process. Eventually there will be only\n", "# one player type left.\n", "mp = axl.MoranProcess(players=players, turns=200)\n", "mp.play()\n", "print(\"The winner is:\", mp.winning_strategy_name)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the results\n", "\n", "player_names = mp.populations[0].keys()\n", "\n", "plot_data = []\n", "labels = []\n", "for name in player_names:\n", " labels.append(name)\n", " values = [counter[name] for counter in mp.populations]\n", " plot_data.append(values)\n", " domain = range(len(values))\n", "\n", "plt.stackplot(domain, plot_data, labels=labels)\n", "plt.legend()\n", "plt.xlabel(\"Rounds\")\n", "plt.ylabel(\"Number of Individuals\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## With Mutation\n", "\n", "We can also run a population with mutation. It will never converge so we need to limit the number of rounds." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "# Create a population of size 30\n", "N = 25\n", "players = []\n", "for _ in range(N):\n", " player = random.choice([axl.TitForTat, axl.Cooperator, axl.Defector])\n", " players.append(player())\n", "\n", "rounds = 1000\n", "mp = axl.MoranProcess(players=players, turns=200, mutation_rate=0.05)\n", "list(itertools.islice(mp, rounds))\n", "print(\"Completed {} rounds.\".format(rounds))" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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CIlKVCfO8VJ2ciDqVpj82Ss3G2YybiOLCICwiVWvCPJdrwmhSSFM1vFKLJZsL\n84koJgzCIqK8rX9dZ12nqmQFUa9KU8a3tJNTubmYR0JEkxWDsIhUTUc6eSik6OxE1KE0/bFRarGk\nXK4JI6J4MAiLiF3xwZ5xxlOVISDqlJ2mIKz48Wc7zIQRUTwYhEWkcrFvNj/Gqtw0KaTpfV6q7q+c\n8ZhHQkSTFYOwiFiVmbD8WFUvSaJelab3eamwLHdHElFcGIRFpHJhfiY3mqq1MkSdStP7vFROQ3E6\nkohiwiAsInbldOTYYFXJCqJelabpSBsCgVT9wURE1E1sW9SBAbMffWYfNuU2+14+3Z6GPmd9+efM\n+DBszVpElB7T7KkwitN1g/lhuE3ev5ZYmKIyAIBsiso9TNfA7P6ZAJ6PeyhENEkxCOvApzI74aOP\n3oolOy2E57MG5pYX1mL66NYATXl5WCwISSly06sbMW/zKwCA5YsPxNNDaxted4+pC/Czv93RraGF\n5uyHb8HZcQ+CiCY1Tkd2wC4ue1GGf5MW22ehL6cjKU0qyzaUKss3vK7wY4SIqBP89OyAKma1lOGf\nSFT5+i3vLAhJaVK5WF0FBGGKQRgRUUf46dmB0g4wJfVBmCEGLJ/1M4rTkZQi1UFY848JxY8RIqKO\n8NOzA1aTTJjlE5gBgPKYCaP0qNwxGBiECZvTExF1gkFYB+ziYny/IMw2/deJcTqS0sISC0bFhhM7\n4GOCmTAios7w07MD5TVhPmtl/KYoAVblpvSo/eMiKNPl/2cHEREFYRDWgaZBWKPF+pyOpJSwaoOw\nwEwYpyOJiDrBIKwDpYDKPwjz30nGTBilRV0mLOj66elURESUKAzCOmC7hUyYX/0kJa3XDiNKIrum\n/l1QpstmJoyIqCMMwjpQymr57RprtJPMr3YYURLVZniDMl0KTIUREXWCQVgHlFtaE+YXhHE6ktKt\nLggLuj5jMCKijjAI64BdrKHk166lUYuXyjYwRElm16wJs4OurxmFERF1gkFYB5RbCKj81so0nI50\nGYRROrQ9HenTxJ6IiIIxCOtAqfCq5fP0NQrCBLphNX2iJKl9D6uATJfymAkjIuoEg7AOWE4pE1av\nWU2lRjXEiJKk9j0clOliJoyIqDMMwjpgF6cW/bbm+60TK1ENWhoRJUltJswOnI5kJoyIqBORBWEi\nsr2I3CEij4nI30Xk7OLxbUTkNhFZXfx3ZlRjiIoqZcJ8zj1Wk5pJjVoaESVJXSas2CGi4fUDLici\nIn9RZsLT2Ix3AAAgAElEQVQcAJ/XWu8O4AAAZ4rI7gDOBfAnrfUuAP5U/DlVVNPpyCa343QkpUBt\nr8jANWGaQRgRUSciC8K01q9orVcUvx8E8DiA7QC8F8C1xatdC+C4qMYQBUMMWMWTjt/W/WbVw21m\nwigFat/Dymu+5ssOuJyIiPx1JSoQkYUA3g7gPgDztNavFC96FcC8bowhyP72LEyduQgPja/DSyOv\nNbyeqmjpsmhoCwSCt0zZHrZhYszLY+noaMPbLuqbhRdGXml4OVG3HT1zEda4w1i15TkAwLtn7oF9\nx6rLqSwYWo9j5y4CANw9vBZv5DYDAGb1zcSBme3w5pef6+6giYh6RORBmIhMAfBrAOdorbdIxVSH\n1lqLiO9ch4icDuB0ANhhhx2iHiY+tPZJ4Mnf4ytL3xMQhG19yg5ffTfUzm/BYeZ0zHAdvG5NwTEr\nb2l42yO3bMbvQx010cRc+PCt+OWiI7Cq+PPXHv9fTB/dVHWdxS8+isUvPgoAOGXJoXgjtxkDZj/e\n0j8H/2cF39FERJ2KdHekiCgUArCfa61vKh5+TUS2LV6+LYDX/W6rtb5Sa72P1nqfOXPmRDnMKkHN\nimsX1yvDgtIaSmtYQbvIuICZEsQQA6b2qqYbg9prlXZODlj9DWviERFRa6LcHSkArgLwuNb60oqL\nfgvgw8XvPwzgv6IaQyeCWrRUTkcCgG0o2FrD9rzA9i02gzBKELv4Xq5836qA9lqlEixZs79pORYi\nIgoW5XTkgQBOBbBSRB4pHjsPwMUAbhCRjwF4HsAJEY6hbYEtWoyali6GBaU9WJ4bvIvMdbq0Co8o\nWOkPCuUVOkAIBMoLyIShFIT1BWaNiYiouchCAq31PUDDT+nDo3rciQoqp1rXV88wC9ORntdCexdn\ngqMjCk9pfWNpOtJqoYRKqXxFxlAMwoiIJojzCTUC13XVBmFiQXkulHaD27u4DMIoOUq9TEtrFWun\n2v2UMmEDYjEIIyKaIAZhNYLWddUGYZYUMmG258IOCsICpnqIuskuZr5KaxXtloKwQuCVFTNw/SQR\nETXHIKxG0JSiXROE2WJCuS6U5wQWtQxa9EzUTaU/KLZmwsxmVy9cp/hvFkbg+kkiImqOQViNwHVd\nNTvClJiFqUjXDQ7COB1JCVIOworvy1Z6m5YCr4wOXj9JRETNca9ejcApxbogzChMRXpOYAkK28mB\nTzklhV3MfNnFDSN2CwvzbQgEgoxuvOuGiIhaw0xYjcBsFuqDMOU5UI4TWIxVuZyOpOQovZctp7BW\n0ZJWpiM1lKEK/wZkjYmIqDmmZWoE7XCsLVBpwyhOReZhBZSgYBBGSbJ1TVi+6uemt9Fbu0T4Nxwj\nIqJWMQirEZQJs2omYZRIIRPm5oMzYVyYTwlSmlovtSpqpQ2R0ppBGBFRSDgdWSNoXVftYmQFA7br\nFL4CMmGm9mC2kG0g6obSdKRdXJhfu/PXj601bEMVyrIEZI2JiKg5BmE1ArNZtZkwFDIJljMO5QTX\nAVMtLH4m6oZS9XvljBd/biET5nmFLhGeF5g1JiKi5hiE1Qhc11UzBaMghalINxcYwAGtVSUn6obS\nHxTl6cgWPg6U9opdIrzA9ZNERNQc0zI1bM9tGpradZkwKU5H5mG7rWTCGIRRMpTey3ZxrWLtphM/\npTVhtvZgcHckEdGEMAiroVynaRCmUH3iUVoXpiLz4+WMQtP7b6EqOVE3lP4cKO3abaUXpPJcKKtQ\nlsVgDEZENCGcjqwRFEjVTUfqwknM0i768mPB999CVXKibii9l43ihpFWcrRKu4UuEZ7X0vQ7ERE1\nxoigRuDC/JopmNLCfAAYyA0H3z93R1JCVAZdyrBazIR5UKKgPAfC6UgioglhEFbjzZtexr9MX1r+\n+aasjfs2r4anPfSbfTji5Serrv+PL69GfzEDlsmNBN7/uSMaW9SOWJ2Zgis3rwx38EQtOHLmHjh8\naAQ7vfxM+ZgyFI7e8GrgbRe/9jT+eeZ87LTheQZhREQTxCCsRnZ8EEc+dVf554fffhRWWgMYyg+j\n3+zDjutWVV1/59efauv+3/nsXwEAsxbsgys5GUwxeKuDqvc4UMiE7f7KE4G3nbPlVczZEhysERFR\nMIYBARSAjNlf+D7EGl8qoBQGUVT8ej4qw2JHByKiLmMQFkBpIGP2Fb4PcVG9chmEUTz86nvZYpV7\nSBIRUXcwCAtgo3CCsgwLdpiZMAZhFBO/dkMZ045hJEREkxuDsABKF9u0GApWiDsbmXWguPi1G8oa\nDMKIiLqNQVgApTUUjEKrljCDsBYKuxJFwS8IG2D9OiKirmMQFsDSGraYsA0Fm0EY9QDbpxZelvXr\niIi6jkFYgEJxSqMwJdlCb72W75c70SgmfgWJs/woICLqOn7yBrC1hoIUpyPDe7paafZNFAXLpzxK\nhnVXiYi6jkFYAOU5UCKFTFiIT5fKj4d2X0Tt8MuEMQgjIuo+BmEBlOdBwSisCwtzOpK7Iykmtl8m\nzGexPhERRYtBWADluYUm3WK21OC4VYb2YHIxNMVAOfV/AGQDGtcTEVH4GIQFsD0XCgJLDKiw79sI\n+x6JgvlOR7oMwoiIuo1BWADlubAhsEPOhAGAFWIFfqJW+W0KyXK3LhFR1zEIC6Bcp1iwVaBCXrwc\nZkNwolb51ajLONwoQkTUbQzCAijPgdIo1AoL+74ZhFEMlFuf9WIQRkTUfQzCAkSZCbPZKoZi4Fco\nOJMbi2EkRESTG4OwAMrNwQZgw0DYLY7D7EVJ1CrfNWG50RhGQkQ0uTEIC6DcPJT2CmUqdLipMGUw\nCKPu8ysUnB0fjGEkRESTG4OwAMp1YGldWBemwy1oyUwYxcGvUHBmfDiGkRARTW5clBRg3uZXcOLf\nX4cWAwg5E2ZXBGFLpu2MKx+/H6vnvQWnWG80vI1lWHB8Kp4TLci+GYvsbbD3eB5Hrb4XWzIzccTM\nwt9Z/zx9Mf5t80r88/TFAF6ou63ts1ifiIiixUxYAIGG5TlQbi70VkOVvSj7xUQmN4ypARmJjDkQ\n6hiod9hiYQCCKW4emdwwpo1uKl823S0E7mxPRESUHAzCYmRV9KIsfe+3c61S1uqPdEyUXkqMwrR5\nsfp95dqvPteFJZZvtXwiIooHg7AYVVbgL32v3OZTjRmzL9IxUXoV+ptubUtUmblV2oMyrNA3lxAR\nUecYhMXIrsiEqeL3dlAmzAi7UAb1ClsKZVQqs12q2J/U9jwoU8HmdCQRUWIwCItRZSbMLmfCmgdh\nGVbZpwaUGFCehqrYuFEKwpTnQokFpTkdSUSUFAzCYuQ/HRkQhLHKPjWgYEChNggrvF+U5xamI7km\njIgoMRiExUj5fB+0MD/Dl4waUCKFFlsV6wpVMWi3PKewZozTkUREicEzeoxsXZEJK66XNrUHs0kR\n12zFbYgqKRhQWsOuCMLsYibM9lzYhgWbmTAiosRgEBYjha071ezKqckm674ykY6I0qywM9KDqugN\nWWqNpdxiJixg9y0REXUPg7AYKV35/dYfSoup/WQ8lhggfwpSKEVRNR1ZCsLyxelIBmFEREnBICxG\n1WvCWgvCslzTQw3YWmB7XlULotKaMNtzC7snmQkjIkoMBmExqlwkXZ0Ja7ImzA23dRL1jsLOSBfK\n2Vopv1R/Trm5wpoxvn+IiBKDQViMqgKvyu+blKHIMJNBDZSq5VetCZPKNWEGpyOJiBKEQViMlG6Q\nCWuyOzLjMJNB/pQuBmFO5XTk1vpzzIQRESULg7AY2ZWBV8XUpN1sd2RFU2aiSrbW6KvJhNkoBPS2\nk4MtAptBGBFRYjAIi1HVmrDK76Xxy5LNj0Y6JkovpT0M5McglZs8Sp0YnFxh9ySDeCKixGAQFqPK\nPn5V3zd4WQwx0OfwJEr+lKeRqQnSy9ORpSCMmTAiosRgEBajyj5+dlUmzH9NmDIUT6LUkNIeMrma\nIKyUCfPyhYX7AW2xiIioexiExagq8KoIyBpNR9qGqmpJQ1RJaY3M2FDVMRtSrjtnQ6pqiBERUbwa\nrwCnyM0a3YK95+xS+H79uvLx3bXC2PRd8NzYOmwc34SF2e0wy8pgqigM5F7C3P6d8frY+riGTQml\nPA/Z8eogbOe8i/2m7QzgGew8Pl61XoyIiOLFICxGi15aiWteqj/+mUduAQCcu/Q9uGV8Ez7p9OPo\nVX8qX35k/7a4jkEY1VDagamrG3SfuvJWnFr8/gN/v637gyIiooY4HZlgpabeds2JtXFTI5rMbLa0\nIiJKFQZhCVYKtpRbHYTZnFEiH+wLSUSULgzCEkwVg63KRfuF48x4UD22JCIiShcGYQlWzoTVnFwr\nWxwRldRmTImIKNkYhCVYKRNm15xclccgjOrZzIQREaUKg7AEK2W86jNhnI6kelwTRkSULgzCEqwc\nhLkMwiiY8thNgYgoTRiEJZhdzoRVn1wVSxGQD7a0IiJKFwZhCVbKeNX2+1OaC7CpnnIYhBERpQmD\nsAQrB2E105Esykl+2JybiChdGIQlWGkXZF0mjAuwyQenI4mI0oVBWIKV2hXZbu2aMAZhVM92mQkj\nIkoTBmEJViq+qdxx3+NElZQzHnwlIiJKDAZhCVZqV1Q3HclMGNUwxIDJ0iVERKnCICzBlOf6nlxr\nK+gTKUMFX4mIiBKFQViCKc+F7XNyVR7X/lA1v/cJERElG4OwBFNe3jfDwV1wVEsZVtxDICKiNjEI\nSzDlOr4nV5aooFqWMAgjIkobBmEJZjcKwliUk2rYzIQREaUOg7CIjcxeDG9gVke3td08lE+GY8rY\nIPaevstEh0Y95BB7btxDICKiNjEIi9jLA7si379NR7e1XAdKzLrjfc4YlqB/okOjHrLf0Ka4h0BE\nRG1iEBYxBxa8DneuKTfnG4QBAPfCUaVSTTkiIkoPBmERy8OCZ9gd3dZ2crAN/yDM1noiw6IeY7OA\nLxFR6jAIi1geFrwOd64pNwfV4CVSrI5OFZTDIIyIKG0YhEUsDwW30+lIp8l0JDNhVIGtrIiI0odB\nWMRysOBKZ9ORys3DFv+XiNORVImtrIiI0icwCBORA0UkW/z+FBG5VEQWRD+03pCDBafD6UiBxkCj\nTJjH6Ujaiq2siIjSp5VM2L8DGBGRJQA+D+AZANdFOqoektMmXOl8L2MG4nvc4m44qsBWVkRE6dNK\nEOZorTWA9wL4kdb6XwFMjXZYvSOnO8+EAUBG+wdhzIRRJbayIiJKn1aig0ER+QqAUwAcLCIGWKaq\nZeOw4Ezg6co2WPplc3ckVWArKyKi9GklE3YigHEAH9NavwpgPoB/iXRUPWTcM5GfQCYs2yDY4m44\nqsQgjIgofQKjg2LgdWnFzy+Aa8JaltMWnJYSjv4GGkw7MgijSsplEEZElDYNowMRGQTgNxkmALTW\nelpko+ohY9qcUBCWabDWR7ku4L9xkiYhZsKIiNKnYXSgtebi+xCMaQu5iawJc/x3vdmewyCMAACG\nGLA0d8sSEaVNyykaEZkLoL/0c3FakgKMuSbyE8iEZZ1x3+PKcbg9ggAAqsOODEREFK9WirUeKyKr\nATwH4C4AawD8IeJx9YwxbSI3kenIvP80k/JYF4oKlNH5+4uIiOLTyu7IbwE4AMBTWusdARwO4K+R\njqqHjHoWcnoCQVhu1Pe4zeKcVGQzE0ZElEqtBGF5rfUGAIaIGFrrOwDsE3QjEfmJiLwuIqsqjl0g\nIi+JyCPFr/dMYOypMOqaGJ9AEJbNj/geZ4V0KrEmUAKFiIji08qn9yYRmQLgzwB+LiKvAxhu4XbX\nAPgR6stZfF9r/d22Rplio56B3ARW0GfG/Z9qy8kBGOj4fql3KIM7NIiI0qiVTNh7AYwC+CyAW1Ho\nHXlM0I201n8GsHFCo+sBY97EMmGZnH8QxrpQVKIaNHknIqJkCwzCtNbDWmtXa+1ora/VWl9enJ7s\n1KdF5NHidOXMRlcSkdNF5EEReXDdunUTeLju04aFl7c7EqdP+SEe3jIFP3x5N/xx/mc6uq/+/Jjv\n8aljg/jV2BQAgCkmpEGj71Nm7Il3z9wDN40M4LNT9+hoDJRsNqcjiYhSqZXdkYMisqX4NSYirohs\n6fDx/h3ATgD2AvAKgO81uqLW+kqt9T5a633mzJnT4cPFRGWxyZiJP66fhVHXxCtjNp7MzQ71IQzt\n4a2vPFZ4OMOC1WCH3Hwnj1nawC6vPYntGkxtUrpxOpKIKJ1aaVtULtoqIoLC9OQBnTyY1vq1ivv6\nMYDfdXI/SeepbF1tsLEJTEk2YxkWlKFgaA95n7IVGdeBsgqPrRq0QKJ0Uy2tKiAioqRp69NbF9wM\n4N2dPJiIbFvx43IAqxpdN600BK6VQV6qywaMedFkK2zDhjJUwzIFGdeBXWw+ZXusqt6LlDAIIyJK\no8D0jIi8r+JHA4XyFP4Llapv9wsAywDMFpEXAXwDwDIR2QuFnpRrAHyy/SEnnKngmnZdbbDRiIIw\nZVhQhglP168JswwLfa4LVWwBqtw8GiwdoxSzuTCfiCiVWpkjq9wJ6aAQPL036EZa65N9Dl/V2rBS\nzFTwRCFfU5YiqkyYEgtKLHion2pUhoJy81C6FIS5bTSqorRQjKyJiFKplTVhH+3GQHqFNmx4hupi\nJsyEEhOe1J+IlVhQnrc1CPOcSMZA8VI+rz0RESVfwyBMRH4IFOexfGitO6u50OO0acM1VF2/yFE3\nqjVhCrZhwdX1mTDbUFCuUw7CbJdrwnqRxYX5RESp1OzT+0EADwHoB7AUwOri114A7OiHlk7aUHBF\n1RVoHfGiOVEqMYpf9UGeMkwozynvilQeC7z2InaOJCJKp4aZMK31tQAgIp8CcJDW2in+fAWAu7sz\nvPTxDAVX6pt2R5UJU2JCwYAh9UlLJRaUO7I1CGO/yZ5kc00YEVEqtZKemQlgWsXPU4rHyIc27GIm\nrDroijQIK37VXWaYUG4OShemIZXLNWG9SDVcNEBEREnWyl65iwE8LCJ3oFDg4GAAF0Q5qDTzTAXH\nZzpyOLLdkSaUGDB9lu/ZYkK5edilTBibfvckTkcSEaVTK7sjrxaRPwDYv3joy1rrV6MdVnq5ouDA\nqitJMewYkZSHUCJQEHg+U1JKzMLC/GKRVgZhvYlBGBFROjWcjhSRtxb/XQrgzQDWFr/eXDxGPjxD\nIS+qLggbcSNamI/iwnyfIMwSA7aTK5emUC4X5vcim9ORRESp1Cw38zkAp8O/ybYGcFgkI0q5cias\nZk2Yow1oMSE63DIRthiwIb51wgrTkbnydKTtMAjrRcqnPAkRESVfs92Rpxf/PbR7w0k/VxTysPyL\ns5o24IyG+ngKpelIn92RkMLC/OKuSFO7MMSAx5N2TynVgSMionQJnCMTkUdF5CsisnM3BpR2TjEI\nG/N84lsz/NU7hSDMv3WNEgPKyVXtilQNGn1TeimPQRgRURq1slDpGAAugBtE5AER+YKI7BDxuFLL\nFQs5KIz5FGfVRvg1bhUESvunNBUEpvbQXzENqQw2j+w1nI4kIkqnwCBMa/281vo7Wuu9AXwQwJ4A\nnot8ZCnlSKFl0YjPdKQ2owjCCsU6be2zJqz48mZzI1uPMRPWcxiEERGlU0tpERFZAODE4pcL4EtR\nDirN8lJo3j3i1AdhnqEQdrUwpQtrgvyi6VK4NTA+WD5mCTNhvabUEYGIiNIl8IwsIvehcD7/FYDj\ntdbPRj6qFHNhYb2XxaBb/9RGkQmb5Wn0eR62mCamqCyG8sPly0pBWHZ867FZKovXx9aHPg7qPmUo\nzO6bgWnj43EPhYiIOtBKWuQ0rfWTkY+kR+Rg4bxnF/te5kWQhfr4334PALhyyXtwamYnXDO0Gq72\nkPNyUMUpSsvbujD/n8YNfDH0UVAc3jZle/z8b3fGPQwiIupQw6hARE7RWv8MwFEiclTt5VrrSyMd\nWUrlm8S1XgQL80uU9iAQ2KYNgSCXy0H5la3wwq1TRvGxJJoCwERE1B3NUjPZ4r9TuzGQXpFv0kTG\njXBRvNIaAmDA7INbatjtU7mAQVjvUC1tbiYioqRqVqz1P4r/frN7w0m/fJOl91FMR5YorSEayBg2\nxrx8+Vjd9RiE9QzFTBgRUao1m468vNkNtdafCX846ZdrlgmT6DJhtudBRJC1+srV822fIMx2XYS+\nRZNiYTMIIyJKtWaf4g8Vv/oBLAWwuvi1F4DoFjel3LhuHOE4Ea4JszwXSnvIGBYsKYzBPxOWj2wM\n1F1+XRKIiCg9mk1HXgsAIvIpAAdprZ3iz1cAuLs7w0ufnG485ehGOR3peRAAGfRhSzkIq68fpVwH\nTZJ1lCIMwoiI0q2V+YyZAKZV/DyleIx85JplwiJdE+ZCaRcZMcprhfyKeKqKchWUbgzCiIjSrZWo\n4GIAD4vIHQAEwMEALohyUGk23iTN5ESYgrI9FwaALAR2MRNm+2TCbJfTkb2CawKIiNItMAjTWl8t\nIn8AsH/x0Je11q9GO6z0GvfpGVniRLgwX3kORGtkNSoyYfU7IZWTR2sJUEo6vxIkRESUHq2ejU0A\n6wC8AWBXETk4uiGl21iT6chmhVwnSrkulOdgwNPl+lG+05FuLrIxUHdxaR8RUbq10jvyEhQad/8d\nQOmsrgH8OcJxpdZYk4X5UQZhtufA0CayngfbbJYJy6Gw4ZXSjpkwIqJ0ayUqOA7AblprdgluwZjb\nZDoyykyY40BMjYznQBVXC/ktwmcmrHf4lSAhIqL0aGU68llw5qNlzaYjc1EGYV4eynWQcbcu/1du\no0wY9QIGYURE6dZKVDAC4BER+ROAcjaMFfP9jTVZmB9pEObmIdDIOvly6QLfTJjnQCDQPs29KV0Y\nhBERpVsrUcFvi1/UglG38VParJDrRNmuA4FGJj9eDsIalaNQhkLOY0Ys7fxKkBARUXq0UqLi2m4M\npFeMeI1neJs1954oyxkHtEImP1rOkDQqzKoMi0FYD/Db/UpEROnRrIH3SqDxnJXWes9IRpRyzaYj\nxyPMhCk3B9EamfxYedecapgJi24c1D1+bamIiCg9mp2Nj+7aKHrISJPdkeM6wor5bh6GBrLjw+VK\n6rbrnwmzDe6z6AU2M2FERKnWrIH3890cSK8YcRtPR4432Tk5USo/DrE8GOPu1ulIx7+qiDKiGwd1\nj18dOCIiSg/2rwnJ8Jy9AARlwqKbBrS0i778OAZyI1i0ZQNOmLkYmfFh3+seq+Zhuj3N9zJKPinv\nfmUQRkQU5Ont3w9tKOjiZ2eSMAgLyb197wIQkAlrsmg/DAINQ3t453P34WsrbkEm5x+E/fMjt2Db\nvpmRjoWi02/2AQCsBhsviIhoqyOfXg5tZwE1EPdQ6jSMCop1wUpti6gJLQZGdOHEONwkE9aspVG3\n2cIpybTKWIUPEpuZMCKiprSYcLQBbdrwVDbu4dRpFhVsKyLvBHCsiPwSqM7jaa1XRDqyNDFtjGsT\nWoym2a7RJjsnu80SJkHTKmv2YwMA1WDjBRERFZmFrWraUNCGHWGhqM40C8K+DuBrAOYDuLTmMg3g\nsKgGlTqmKiy6D9h12Kx8RbcpzkSnVqb4odKoBAkRERWZhfOyNmw4ViZxPRib7Y68EcCNIvI1rfW3\nujim1NGGXaiGb6YoCGMmLLUyxWCfC/OJiJrTRuGPVs9QcMzkrQlrpWL+t0TkWAAHFw/dqbX+XbTD\nShdt2hjVFrRpN71ekqYjbQZhqZWRwn/bRm2piIiooHRe9gwbOTN5a8ICz8Qi8m0AZwN4rPh1tohc\nFPXA0kQbCuOeWY64G2lWvqLbVAK36lJrssVNFZyOJCJqzivOHHiGhXEjhZkwAEcB2EvrQo8UEbkW\nwMMAzotyYGniGQpjngkdMB05GnGJinYwCEuvTPFvJ+Wy/ycRUTO6GIS5ojAmyQvCWo0KZlR8Pz2K\ngaSZZ9gY02Y54m5k1E1QiQoGYamVLb52tsMgjIioGa84HekaNkYTGIS1EhV8G8DDInIHCmUqDgZw\nbqSjShnPUBjNm/ACMmHDTQq5dptq2Jqdkq5PaxhiQDEIIyJqypVSJszCCPpjHk29Vhbm/0JE7gSw\nb/HQl7XWr0Y6qpTxDIVRz4KnAhbmuyaSkoBK2jZdap3ShSbsDMKIiJrzKqYjhzAAYCzeAdVoaX5M\na/0KgN9GPJbUcsXCqGfAkxYyYQmZkWQQll5KayhDQXlcmE9E1IxX3E3uiIUhrw9JC8KSMz+WYq5h\nY9Qz4QasCeN0JIXB1hoZK3lpdSKipHGKVQscsTFYbC+YJMmJClLMFYUR1yxH3A2vpw3ohPRsVJpR\nWFopz0PGSN6HCRFR0rilTBgsbHGT97nZNAgTEVNEnujWYNLKEQujrlGOuJsKKOjaLQzC0ktpD9mE\nvI+IiJKstDDfEQubvZQFYVprF8CTIrJDl8aTSo4oDLsm3FYWfCXk5GkzCEstpTWyAesPiYiocH4G\ngDwUNjrJC8JaWSY+E8DfReR+AMOlg1rrYyMbVco4UBh2jfKL3Yw2k1EmVRVq71IKKc/FgCQjmCci\nSjKnGObkYeGNfPL+eG0lCPta5KNIOUcsjLgmnIA1YQACWxt1i/IYhKWV0i4yCVlbSESUZPlyJszC\nZkdBi5GIREhJK3XC7hKRBQB20VrfLiIZADwDVHBgIecZyEtwqtMzVCKePGbC0kt5HjKJ+hghIkqm\nykzYiGvAFSsplaIAtNbA+xMAbgTwH8VD2wG4OcpBpU2+WHWrlWq8OilrwpgJSy3bc5Hlkj4iokD5\n4gzVOAozVm5CZqNKWgkIzwSwH4D7AEBrvVpE5kY6qpT5wcb9AQCXbjwg8LqlN8Dz84/Fghfjq3+r\nPDe2x6bOfH7qHthxeDP2ePVJbLdlRvANiIgmsR/MvRAPr58JALhi3WK8PG6Xd0smRStB2LjWOidS\nmP4QEQsA/w4v0mLgTxu2AQDctWFm4PVLtcQew45YEOnImmMQlj77rl+LPV5eBQCYObwh5tEQESWX\nNv0e7vAAACAASURBVBS+/8JO5Z/v3zQNwNa6YUnRSrHWu0TkPAADInIEgF8B+O9oh5UiAVXya5X6\nWA3FXK/E8pxYH5/aZ7l8zYiIWtJg6U/SMmGtBGHnAlgHYCWATwL4PYDzoxxUqljtzS+XWhtt8eJt\nO2MzE5Y6NntFEhG1pNH661ZKSXVTK7sjPRG5FoU1YRrAk1qz0mdJuyUnSlH4ppjbJyjXYdOqlFEu\ngzAiolZo0z/YyidsOjJwNCJyFIArADwDQADsKCKf1Fr/IerBpYFuczqyNB+9yY13h4Zy80Cy/iCg\nAAzCiIha0+jc7CSqQEVrC/O/B+BQrfXTACAiOwO4BQCDMLRfcsIpVjp/Ix9vJozTkeljO7m4h0BE\nlAra8D/HJm06spUJqcFSAFb0LIDBiMaTOl6bmbBSVf2NTrxvBOXyhJ42ikEYEVFLGp2bc2nJhInI\n+4rfPigivwdwAwprwo4H8EAXxpYK7QZhpSbf63NxT0c6AKuupwqDMCKi1jQ6N+fTEoQBOKbi+9cA\nHFL8fh2AgchGlDLtBmF5KfSu2uyYscZAhUxY8jrKU2OKuyOJiFriGf7hTV6nJAjTWn+0mwNJK6/N\n3ZEOLMDsw3DeaG1FXkQK64sYhKWFJRYM9vskImpJo/ZEuYTtSGtld+SOAD4NYGHl9bXWx0Y3rPRo\nt/puHhZgKoy68QZhnNpKF9XgrzoiIqrXqChrDmaXR9JcK5/sNwO4CoUq+fxTvEa71XfzsKANG642\noA0LElPlegZh6WIxCCMialmjBMm4l6zP0lZGM6a1vjzykaRUux3Zc1Bby1qYNhBXEOblIRBotgFN\nBbvNtYdERJNZqRxUrdRNRwL4gYh8A8AfAYyXDmqtV0Q2qhRx2pyOzMHaupg/5hOrZVjIc7F3KnA6\nkoiodY0zYclqFdPKJ/tiAKcCOAxbpyN18edJr93pyJy2ypV8taliLRKhDMUgLCWUJGsdAxFRkjUq\nyjqelt2RFY4HsJPWmouIfLTbAiEHs5wJ88y+WNs3MruSHgzCiIha1+jcPK6T9VnaSgywCsCMqAeS\nVvkOMmGlshbt9p0Mm80gLDX4WhERta5RJmwshZmwGQCeEJEHUL0mjCUq0H4mbExbcEuZsJiDMJWw\nbvLUGDNhRESta9SeaMxL1mdpK2fhb0Q+ihRrtwVCTlvwisFP7EGYkaw3IzWmJFmLSYmIkqxRgiR1\nQZjW+q5uDCSt2g3Cxj2zvJjfi7mbO7Mr6aFiXT1IRJQujc7NSVsT1krF/EGgXEzKBqAADGutp0U5\nsKT78/afwmmrDwJWt7e/8dvP74pvY1cACciE+UxHcsdk8ihDMRNGRFRDmzbErd4z+H+3Pwv/tPod\nDc/N+bQFYVrrqaXvRUQAvBfAAVEOKg0K21wnVmDCjT0Iqz+xZ6wBbM4xCEuSjDXATBgRUQ2tsnVB\nWNC5OWkFytv6ZNcFNwN4d0TjSY18CP2n2q0xFja/6ciMyabeSZMx+6AkzopyRETJ46lM3bGk1QEL\n0sp05PsqfjQA7ANgLLIRpcSYnngAFXcQZvtkwrIMwhIna/Yh3rK+RETJ41pT6oKYngvCABxT8b0D\nYA0KU5KTWi6EF7pRHZNu8ZviyrTZC5OilzFs2AzCiIiquGYftJgQ7ZaPJW3hfZBW1oR9tBsDSZsw\nXuh2+06GzS+7kmFR0MTJGFbCWs4SEcXPMxRg2oAzWj7WM0GYiHy9ye201vpbEYwnNcJ4od02y1uE\nzW+dUYYFXBMnIxZUstaSEhHFzhULMFV1EOal6xzWbLTDPseyAD4GYBaASR6ETfyFbrflUdhsn+nI\nLHfhJU4WBjNhREQ1XMOGNqoXayStLVGQhqPVWn+v9L2ITAVwNoCPAvglgO81ut1kMepOPBPWbqHX\nsPmd2DNce5QoAkEGwkwYEVENVxS0Wb2OOWkV8YM0jQJEZBsAnwPwIQDXAliqtX6jGwNLurEw1oTF\nHIT5PXqGJ/tEsYzCVKTSfGGIiCo5YsEzVFXBqDEvXbM5zdaE/QuA9wG4EsBirfVQ10aVAmMhzDvn\nYp5ksnV11ksgyHg82SeJbSgoMAgjIqrliIKuKXo+mrI1Yc1Cxs8DeDOA8wG8LCJbil+DIrKlO8NL\nrtEQUp6xT0fWnNgtw4LNk32iKGbCiIh8OVB17f9GemU6Umudrpxel4WR8szFHYTV/mwonuwTphCE\naSjtxT0UIqJEKU1HVhpz0xW6pGu0CTISwsL8MAq+TkRtwFU44fNknyRKCkEYM5RERNUcWHBrCoyH\nMUvVTQzCOhTGCx13Jqz2xG4bFmyPQViS2MUpYsXXhYioSh4KXk1ty7RNRzII69BICCnPuCv71ma9\nClkXnuyTxBITSntQFW05iIiosK66tgfziMMgbFIIYzoy7kaj9dORJpTHk32SKDGhPI+vCxFRjRws\nuHUL89MV1kQ2WhH5iYi8LiKrKo5tIyK3icjq4r8zo3r8qIVRrDX2NWE1J/bSCZ+SQ4kBpT1OExMR\n1cjDglObCePC/LJrABxZc+xcAH/SWu8C4E/Fn1NpKIQXOu7KvnWZMLGYcUkYW0zYngflOnEPhYgo\nUXKw4NSsCRt2e6dO2IRorf8MYGPN4feiUHkfxX+Pi+rxoxbOmrCYM2FubSbMgPJ4sk+SwmviMjgm\nIqqR0yacimJLWgzkvXS13ut23m6e1vqV4vevApjX5ccPhRYTbghl1J4dn4LhOXsV7rNvOryBWRO+\nz3a8aXQzpqgsAGDPaTtjbyOL2SObsWTazl0dBzWmYGDeyCZsMzrp6yMTEQEA8tN3AlDIhD0j22+9\noKaPZBrENnmqtdYAGhY/EpHTReRBEXlw3bp1XRxZC6y+UO7mv16bi4ucUwAAgzN2w4aZS0K531bt\ntfYR7DQwD/1mH76yfj0+9/At2OW1J/GVpD3fk0C/2Vf+qmSLgUUvrcTOrz8V08iIiJLlrqnvAQCM\neQrfWLt06wUMwgK9JiLbAkDx39cbXVFrfaXWeh+t9T5z5szp2gBbYoTX87FUb8wVVTe33Q2WGMhY\nA1VrjpSb7/o4JruMNVD+qqSQrtQ6EVHUBnU/gEKZp+GKpUHaYBAW5LcAPlz8/sMA/qvLjx8KbUYR\nhNXXO+kGBQMZsx/K2xp4cV1Y92XM/vJXpXhbvBMRJc+gV5gxGNdmVbmoMM/N3RJZ6kVEfgFgGYDZ\nIvIigG8AuBjADSLyMQDPAzghqsePUpjRdqnPlSsKTgwV9JUYyBh2VfaLmbDuyzR4TzETRkRUbYtb\nDMI8EznPgBYDoj3oEGepuiWys77W+uQGFx0e1WN2ixfivPOIV3gJHLGQjyETZouBrKGqpiNtNw/m\nYLrHFBMDRiHcqg25GIQREVXbVMyEjZUqDJg24IzVNfNOg3RVNUuIMF/oUqkLR+x4MmEQZAwFlR/f\neqzie4qeMixkDAu2mMjUvLdqa7kREU12Q64FLebWHs7FaUiPa8ImhzCDsFLlfQcW8nEFYWJyOjJG\nylDIwCxMDUt1AV/FGIyIqMqoZwKmXS54XloilMZMWLpKyyZEmNH2cPFN5IiFfAxTgDYEFgS2m9t6\nzMk1uQWFTRkKWTHhaiBb83dR+v6uIyKK1qhrFYOwQgijTQZhk4oXYimJYccArEIPrFwML4cNgQFA\nORXTkS6DsG5ShokBAKMiyNZkvjgdSURUbdQzoE2F0WKz7tKCfDeGMk8TxenIDtR2bZ+I0pqwvKhY\npiMHtEaf1jD11gbRAg0rhW/mtFJiIauLU8N1QRgbdxMRVRpxTGjDLpenKGXAXK4JmxzCrOfl6ML2\n2ry2kNPdb+id8TQyXn22RRkMwrpFiYmMp6EAZGqCLmbCiIiqjXoGPGNrJqwchMVQYWCiGIR1IPQX\n2uwrTkd2/w2U9Txkvfpsi0ph0bu0sg0LWc+DDUGmpqm6zSCMiKjKiGtCm3ZhbRi2rtOOo+vMRKVv\nxAnghB6EKeRgYjyGTFi2wU5IlcI3c1opMZBx8lCWiWxNEKZ8AmQiosls2DXgGqrcsijNmTCeaTsQ\ndrStDRs5bSGnu/9yZFz/FkWcjuweBQMZ1ylMR9ZsirA81/9GREST1IhrwhNVLvFUWpAfR63NiUrf\niBPADflp06ZCDiqWTFjGaZQJ6/5YJislJjLOOJSufz2YCSMiqjZSXBM2XNH2D0AsXWcmikFYB8J+\noT3DxrhnYjyOTFiD6vg2M2Fdo8RANj8OG4DtuVCmQr7YUN3m7kgiojJtKGgtVdORpV2RzIRNEmGX\nktCGQk6b5eq/3ZTNj/oeZyasexQEmfwolPag3DyU2hqEKc9/upiIaFIqFmbNSz9cXWr7Vzgnx1Hm\naaLSN+IECDva9gyFcW39v/bePNqOq77z/e6q2nXvPVeWLNuSjWTZloPB2BgTI8AJeXQ6BhoCIYR+\nEJJHJvJgvQYSkqYfhPR7GVh0r07ohH4ZmtU0kIaQiQBphqRpHEjI1AxmMB4Ay9iyZdmSrOHq3nuG\nGvf741TVraqzazw1nFP1+6ylpXPr1LBPDbu++/f77d9vpxhpgwxIhLUOZ4onwgS4Y0fi8UiEEQRB\n7CC8mfuGshYsC9yRSyhplq/FC0DVqSRcRcdEaO1YwoyhdDlnlL2kKXQwrBvDQITpyurOdw4F5hME\nQfj4JYomIRHml/xro/TfvJAIK0HVattROCZuqCJ8gwyMbelyTinkGoODYWBsg7suuGuBs10731Ex\ndYIgiAC/RNEIOyLMd0e2UfpvXuhNW5BTB56HD2/eUOk+/5D9ED5/YT++vLkXX73qp+HsegLGlz61\n0mMksWaOsWbOuiR1puKVe2/C29avx1MuuqaRttTF9+99SttNSOW2zQtYM8d4xuPHsG/rcbxR7Ma+\n1Uvw2j034eDGY203jyAWGlGR1d5Z349PXfmLGO57eiX7i1NVO/uO8ILw/3DrlmDZh4bPxqeu/EX8\n+YXr22pWaeiuKMhXlRvx30/tr3Sfv/nQdfj65i4cHa7hP589AmP1Mpxdu7rSYyTBIMAwm5VdA8Nt\n58/gx+/+DA5ruyRbLgcKU/AMm7XdjFRueeQuMAhce/oodk028UPf/Bwu4bvw0ke+iUuGZ9puHkEs\nNnwte50cmKuX4Y33PxOnVg5Xsr8ZKmpn3/ETs/75ySuCZR949CDeeP8z8cnT+9pqVmlIhBXEFPX6\nnMeuClfRW/dt64yBe4lCdSy2iElDV/jC11/UYwlaAUBnGvSERLoEQezg8moGiX7pm7pyTVXVzr7j\nLmGR7jRIhBWk7oSqI0eBw7TWa2BxMHA/TUKrLZkPrvCFT3jK7dlcbZwp4I48hxtBEFMEU+Bqg0r2\n5dac5sDh67Xst2+4HcthSSKsIPWLMBUO460nneNg4J4lhi+2ISkVrmjgC5zwVGEKVEn7OBRwe9ZC\nRhBECIUH7ql5cbz91NX3Omo1YrHvLGN9yDRIhBXEqNkdOXRUOIvgjgQCEbbM7kiuaNAX2BKmJ7xA\nppYwmhlJEKmovDL3lMOm+6k6BZGPqZElrAqqEt2LAomwgtSdy2vkKLCZ1nrSOS52EoUuekxVGpxp\nQWzbIsKTRBhZwggiE6Hqlbmn6s66bipkCasCsoT1nGZiwnjr+U44AN3xY8KWWYSpCy7C5NdZZ4ws\nYQSRgVD0yl7K/n5M1NPHGyrNjqwCm0RYv6nbEjZxVViMt24J0wQCS8xyW8IWW4RpCRMw1qBIU4cQ\nBLGDUKuLCQsSftZQPk4o7cf5doW2J61VDYmwgkxqtoQBwBhrrVvCdCFCIqzVpsyFrqjQF1iE6QmW\nsHWxvHF4BNEUrsIrs4TZ8C1hNVhaNL1zFpy2IHdkzxk79YuwEVZhNiD20pjWMfTckQssYrLgUIIJ\nBotIUqH0wRJbHwmiKVyFVyZuLM/CYtTg7RCKTpawiujaeSQRVpCxW/8NMMQqjBpM4kXgQkDvjDuS\nRBhBdBFX0StzT/kv9zoGwEJtP8SkK9SVTLctSIQVZOzWf8qGYqWWuIQi6MIF9zK5L3qy0zSmqR4W\nWIQpCSJsgdtMEIuCy6p0R3qWsJpiwkiEVUPXzmO3fk0DjGsOzAeATXetdXfkmuMEgeH6Aic7zYJD\nCTL/LyJ6giVs3VleFzBBNIVToTvSjwWb1CLCVmChW+V22qJr7shu/ZoGGDUQE3bBWQFj7bqjBqF6\nhovszsuCM7bQ+bZ4gjF6IKknSRBEFLfCnIr+fuqYAe8qvLbUF32ja5YwckcWZOzUf8ouOHotwaFF\nWLd3rEdL7Y4MlV9aRDiT30/h808QhBxb0St7KZuBO7IuEdYt8dAWdVU0aAu6KwoybMASdt7RwVrO\nUDCwJsHnRU7xkIUO5k0wWMxbPdESFjr/BEHIcaBVFqjtx+HWMfnKUXjrcb5doWsWRbKEFWTYgCXs\nnLXSSOxZGgNzHHxeZEtSFhwIJhgsIjxBbYfPP0EQcmzGYVUkboxAhNVjCWt7xntX6JqYJRFWkCZi\nws5ZvPbM/FkMrJAIW+aYMLHgIiyhOHr4/BMEIafKOru+hWVSwwx4h/HWJ1t1BRJhPUYwBWYDKSrO\nLoIIM4bB56W3hC10YL6c8PknCEKOzaoLePctVXX0vQ7Taq873BfIHdln1GamGJ82eevuyPXJdvB5\nmUWYLgBVuFATUkG0jZ5gCQuff4Ig5NjQYIpqYsJ8ETaqISbMZjqMitrZd7rm1iUR5vHJ9Zdnr6Q2\n8xBt2xr+9txevP3S34C9+xAePfjC4DshqTUomIq7rnp1pW1YcYzgs77AebbSUJiCn/r2PwIAXrP7\nhpZbI+c1x+6SLg+ff4LIy8YV34vxpU8FMO0rhvuejleuvhsXLr8VAGDuvQ5nDnw/rD3X4JWr78Yr\nV9+NR678wcLHkfVDSXz90E/OvY8kLGj41ePfDXftssTjxo+zve8WbO0/EllmXvxE/N6JJwKoJ+Tk\nt0YvaqTaSpcRigZrz2G865Hr225KpZAI83jUuihzHaE0l2xv7Kj42tbFcNQ1bCuhtvH12ZVVHWfE\n7traojnLKcK4wrFnvAEAuNReTGvepVuPt90EokOM1V2wtMH0D74OU13Hlzb2YKLuAgBY6gAjZRcc\ndQ1f2tiDL23swTbL7vtmkPVDCTwqLpl7H0lY0HDS0OFqK8nHjR3HVNdhqNFltjbAWXM6yB7VMPnq\ngdE6TEGv27ng67C1NTxudsuiSHeFxziHv1405I70GTratDZaKPDU0XfNrqjqlZnkZehLKsJ0Zeec\n8AXN+q8vcLwasXzYoTI+jr4LjvcM+FnlXYXDBocbGlCWCWyX9kMJbLprc+8jCT8LvWyA7B83fhxb\n0WGz6PpOaPs6RNjIVTHumButaRx9V+S+7QokwjzyBGMKpVkFPnQYXCU6+8fRZkePQuUwagxW5NZy\nusZ4yA2xiEXIFaZAFcubg41YPGyERJi2DhtREeYoHBbTAnEGlBRhkn4oiQvOrJWq6D6S8IO0XUnf\nvOmuSI/jMA1OrOi3G/q7DnfkyFEwaSC9UZdxtPXIdeoKdFd45BFhsge9TsaOCodFC7/a6uyoUig6\nzBrjDfiSWsK00APLFzDhLG/4fiK6j820QHDZ6logNnxrusM4bGiRl5lVIgO5rB9K4oIjt14U2UcS\nfhZ6Wd+8YevS44TPkU+4CHgtljBHaX3G+7Jjq2uRwUNXIBHmMckhYpoWYSNH8cpdhEatfrxHCFep\nNwfNIqd4SIMrO+eEL6DFiVcQmEwQYWzsWHksbbAjyJgvwjRvnbAlrHjfIeuHkthIEGFF9pGE3+/J\nLCT+cePHscFnikCHX+71WMJUCsyfE0sbRO7brkB3hccoh4hp2h89cVVYykqk5pihzHZcQtUxqfFS\n6guc7DQNPWIJW7yYML2DozqiXSzwQHgZyo4IswK3pA4THHaoLytTi0/WDyVx3pb3m0X2kYQfC+tI\n+mbfEhY/js043Jj9IW4ZE6oOVmG/N3KV1tMOLTuGMkhI6LPckCXMY5Jj9NO0JQwADLYWyRAs67gc\nheey5JWFQURce8sCD+UGW8T6l8t4TonFxgrVUjSUQRDK4P/vZ5gPx0SVSSJaRECdMesTYX7b432z\nUDiGnuiJH8eCNlNM244/ixWmIxIKhxCsFjdnn7CUVZhMHl+4zNBd4SGQHXgfD+ZsgomyFskQPGar\nM+u4jMOoeZS1jK6ziDtyAePawu0jiCowoQWutjFbnRFhjidAwqKjTBkYWT+UxFlL3q8W2UcSvgib\ncVOpOka2Os0tFbP0WaFz5GMjLuIq9Hp4s+rJEjYfNjRMlPnjCBcNEmFhMlJQtOGPHmM10klOIBFh\nCq+9JIa2jCIsdHtzZ/EsYXxBs/gTy4uFndnUE6wGYiMQY4zDFFpEdJSJJ5X1Q0kkibAi+0jC7xvj\nliyhcoxdBVD1me9szNablG1fFf6+xmQJmwubaRhXcM8sGnRXhMjKAyaLO6ibEdYiZRqGmB0JOAqv\nPehzGeOX9JDIWcQi5Dq5I4mKMTG1/AimYoLVIN7L8N2RgSVs53k2SsSEyfohGULVsW3LXzN595GG\nn3srPkAWqo6Ro0Ko+owlzASfcUfG16nSEua/V4Y1BPz3CQscowrumUWD3gIhskY/M3EDDbCN1YgI\n2xKzIwGH1V9rcindkWzBLWHkjiQqxhQqLKZNEzhDBYPwlu9YxAx/HY8yoQyyfkiKyuEIBYKpYLEZ\nyrn3kYLf9pnAeoVj7KgQCp+xeplQ4cTsD/F1qoz/9cNcho6CjtWebhQLGrbJEtZtsmPCmrcGbbsr\nkU5yW8wGJjpMw8St91Iuo+uMh+bSLGL9S06PH1ExhtCmKSfUqbXHt/j4caVTERZ1x01KuCNl/ZCM\nwKIk8TLk3Ucafu6teIyXUHRsO4pnCYuJMKHNxMHJtq8Kf191pL7oExY0bLsUmN9phJJ+gcskNZyX\nTXcFk1CHsenMjgRspjfgjlx2S9jipdnQl1DYEouNIaZ5BYWqR8SG6U77LhN8KsJCA8pJicB8WT8k\nIwjxiIkwwVSM3PmFji8grdgA2VV0jBxlmsh6xhI2OzsynqbDrTAmzE9tZLoKBKNXblks8KAKQpdY\nvjdrjWSZoNtwR15wVjEJFX7dkJQAsZlW+/TnZbeEccfGovkCOHXIRMUYQoUhVAhFhyG0wB3plzUz\nocFw1ehknxIWGlk/JMP3LgiVR3M8qXopC1ycsbNj4QvjKlM3qKOuzgguQ2hwRDTjlBnrG6r0ekTe\nK6oO2JPK9t0nTGi4kFP8LxMkwkJkirAWTtcFR4cd6jBk2acdaPXHhC2lCNtBs01gwYI6eSdTDxJt\nYoipwPKraPgizBc8ptB2XJYeZcRQUhb8OH6fOuPeUzmMCqz3vgcg3je7nuXe1gYzrkdTaHBiz158\nnSpjwtywF0HlJMJKYgo1sQTWMkMiLISb4XIrU+h2XjYcHRpzI3/HsRivPd5gGa02kZgwZwFFGCMR\nRlSL4aowlWlAuiFUKMxfvhMbNhFK1BJWYgCXV4T54stVeMTWNLXUVWAJ82Jh432zb8ky1cGMlcsQ\nKuyYCIuXbqrSEhbel1B0GnqVxIKW+75bJkiEhchKQdFGTNhZS8dubZpeQTAFFyQ5d2w04Y5cPhEW\n7u4Wsf4lBeYTVTMRGgxwuKoOQ/Add2TIEjZ2ojFRY6f4a2DD5hBgwf6T8GOr4ul/hKoH6SXmwfcA\nxGO6/L7cUAZBPJyPIbSIdwEAJiK+fYUiLPReyUqDRCRjQMNZq3vnj0RYiKzRTzy2oAnOWjo48zo6\nVcdIMgvSgja1hNX4Tl9GwcDFzgtiMUUYQVTL2FVhuCocxjFxVTCv7/DFykRomAg1kvZG1qdksW1p\nU9daxoQXv0+NixpX4ZhUMHD0PQCzMV1ewlq2NmNxm7izlrDZ2ZJVWsJ29p01A59IxnC7KcKW781a\nI1llidpwR54xQ+knVB4EooaxmrCELeGtwkODdE04UBbMmkcxYUTVTFwVE6EGVTR8ARK4I8U0fnRe\nd+Q0G322oPBjq1xJHq8yx51ph9fvxUWUL/4mbHUm5m3iqjPHjgu1KkvUhQf3bdQf7gqGUHHG7J7d\nqHu/aA7Oa/twGbzRCl8DMzYj37dhCTtj6riEOzAvfiJMfQ8uPK7BXb0YYBqU8RkAwEmxFyNHhbn/\nOkAI8I3vZLoJinIlNOzi69i2hpXut07i3d11uw7h6PZxuMKVrt80+xejGcSSIlZ2w9UGUIcng2UT\nV8Npa4AzgytxergW9AMj3xLmqjhrreCUvR5sc97iMC9+IgAX+sYDmcd1V/dic6JhuO9J0K2tYDnf\nfAgslo/PFyC++LAvOghXXcP5wTU4s7ECa/fV4JsPJf9GMIjVi6FMzsvbMZ72yY85e+CsXw7FHsNa\n24/T6uUAgONifyBA7d2H4CoreNxehSMUmBc/EYprQB2exkk7WuT7lHI59l38RDDhgl/IPieJ7V+5\nKGjL9Dx0z5LTFIbQEovBLzMkwkK8/ewP4A/xEVi7r8Iju56Gax/5i8j3ZWqszYvhKrhrax1P2np7\nsOyeQy/BaXExbjv+exDaKt54/xEAwJMe+3UAwIO7XweY25W24y1f+xQu3PKD+MT5uyvdb53oIipE\nP/KNv8f3PfmpuGBuJmwhZ0VdgeEYVTYNAPBT9/5N5fsk+sOD+27D39g34WeHO33D2FXwsVMH8QG8\nMrKub0E3hIZ/OLcH/3BuT/DdN7cHeNL22/GEFRP/xP8vsIzZe3ftewkeObqCpx7/vyPL77viV6Bv\n3B9ZFndH/nv95/H+E4eC739671vxR3h98sFWLsLX9r0Mzzj+BzNffX3fS3Hy6PSl/GsPPgWr174G\nR9T78Lyj/xLwdOnr7r8VP3/VVES9mb0ZHz+5P9j+Y3g7XrzvDN6597149/FrIvt++dEXAHgBDq1O\n8Pd4TXL7Mji27zb80NEXB3+TJaw4QlsFsyeYuCqMmpOSt0H3ftEcjOxpR+UqPFLWw8eoIJC0YA2L\nKgAAIABJREFUCkyhYehnm5a4BOoK/lw29xmXWLx4CTfDQK0nN80ixqkRy4PFtBlXW9Is6UkQE5bc\n5Q8dBYKvJ34fHDdh7C4TGH45ocA9GHMDZqXWkSVb3WlHPOBelaYRCn675NyMXSVVGM2b+ieeW5JE\nWHH8e7JMUuFlgERYCH+6s6tw6cMcjztoCwsaxu60SK+svEZdwZ+8Wg9n7WhitsFl6jUOtOqzNDOw\nhSwqTiwPtlcHMsw4wVLgL09LzDpyFLh8kPi9T3wmoo9MYPixVUGgvJtPNPoIdbb2o088rYQhVOm6\nvjtSVtpt4qqp8V/zxtrG3yNVxpr1Bf+eLFPjdBkgERbC7xBcRZemo1gUS5hf/w3aitTqVZclbNky\n3HB31hKmlxCoA6V6SxinETExJxY4JrGEp0npJvykpmlpIWyhwFHXMvuPJMtUHktY3LKUJXLcFEtY\nXAzGa2IGx/COOZScm5GjpqYmGjkqxBz9Xvw9kpUGiZjF1qaWsLoTkrcFibAQQ69DcJj8Ya6izEYV\nmODTtihcavWqy+TNKw72r5t4TBhQLt/Zeg3nky9hLU5isbAklTKGCaJmaE+XZ73IbG2QOesxySMg\nS/Hj13T0xVjc8pVpCfMy/8uYsQI6KizMihw/Hk4m+EaOkp2YdY46kklJZIn8kAjrEX6H4DC5CXxR\nzKGmmOYCEiqXCq7aRNhyaTCpu69M+aVBDYKJRBgxLxa02RirBFHjC5CsOpGWOpCGOISJ5+TykQkM\n3x3n/x93l2ZbwniiByIuBidClbbNP0djybGGjpJdE3gOERa34rVRf3jZMZVppRMSYT3AT1roMC41\ngS9KYKAhNEyEBqHoUsElahptcYllaZGRuSNLibAa6maSCCPmxYQ2I7qSLGFBstaM2WWGsgZR1hIm\n6Yv8waxvEYu3N8sSNq2BmSTCZvN/yfptX/iNJC/xsaNmWqeyRGkaZAmbH1+EVZHcdxHp5q8qiRAM\nQuFwEh78KpILVoEppskGXVWX5p2pK+5A5t5bZLjrzC4rI8ISRv7zUCY2jSDC+IlXwyS6I73lsrio\nMIaSbQlLskzJrDx+TJRvCZOJrrQYNEfRE49nxOKtJq4mdV368XDbkmMPHTWzHN08MbZxUdhG6btl\nZ6JMA/NHFRR8X0RIhMVRddhMbgJfFHOo4XW+riJ3R1ZZ9yyMzLK0yOhSEVY8yHZdVD8hoYwYJIgw\nRkyECabCSUhBMfYCzLPcf2O2lhnOkCzC0ixhySIszd3nStJwBO2YSXehwBSz+/Lj4WS/3XAVmCxd\nZM0z2zwuCskdWRyDrUAwpfaqMG3RzV81B0KdpqdIiy1om4lvCVO4dMqzW9ODLsu7tchILWElbvlB\nDRMSNBJhxJyYUKNxTlkWG5VL46LCjLGabQlL6Adl9Rb9NBKWJ9xklrq04zmMJx5PliMtHqw/Xa5A\nKBpEwmBqgvQUNPPE2MYFqyz1EZGOBQ1Q9cR4x2WHRFgMoeqwFt0S5vqWMF3qerRrckcuXUyYMxuY\nr5eYHbniCqgViyadRBgxJ4bQou7FTBGmY5jh0hliDW5GTFhSbKzMyuOnkfD/l4qwlHbbip54vPjy\nsZsgwlwVUJOF1hBrid9ltS8LI2aZI3dkcWxPhA0X5P1bNSTCYggvUash6ayygkibwhAqRo4Kl2nS\nQE+nptGWzLK0yEhnR5bI+cOFqDyQntyRxLwYroahs3M/ZwXUC1UPXHNJbIuVzODxpKz7MiuPL4os\nqInu0jR3n8Nm496CdswE+SvSWN6hraSemy2RngcwXny8CHFRmJR4lkjGwnQSWta9u6x081fNgVB0\nLxmqvMTFIjBxVYxdBY7CpaNPWWxGFXCxZCJMYgkrL8KqPadl8pURRBhDqBEXTZYbUSh6MAM8iW2x\nkul+S0pzIRMYvigyhZZoqUs7ns1m03AE7ZC4I2XxYxNXhUixhG2LdHfkPDG28fdIUuJZIhkLGoTK\nKSasL7gK38lIH2NRfNITr/N1GJfn5qkrJmzJAvO5a80uKyHC9FosYfToEfNhCC3yYsoST662lhgX\n5bPpruawhCWJsNnt/MB0E1piAH6aeLTBk0WYJEdakuvS1ZLLMW25GZaweUSYS5aweTHA4aqrsFPq\nni4z3fxVc+CXLJJ1NIvijhw7U3fkNKlscqmQqpHNNlxkZAWyy5wZLpzKRZhOjx4xJ/4EHb+sTlbs\nkp95PI0Lzkqm5WecEFcms/L4aSQMoSW2Ly0GzWY80R0ZL9G07SiJVrq0337BybCEzdGfxkUhWcKK\nYwo11727rNCbIIaraDChSQXXwogwd9o+myW4I+uKCXNmLUuLjNQdWWJuAXcFeMXWxTKpMggiTNAf\neeImSzxZKdYgn/O2Lp3lGCbJI5BWZcT0kkvLSBM5VkJfDGDGtTpylGQrXcpvP2eni9d5RFhcQCaV\nYCKSMYWW695dVkiExXDYtFaZLCYsKRFi04xdJSi3IRNcdZm8udNjS1jFgfRlUmUQRJigj/IsSVkB\n5H7m8TQ2HF2a9iZMUtZ9mcDwRZEh1ES3Xpq7b1ofU368uDvSEQo2Hfm+0n77hpNhQZzHEhZrY1KO\nNSIZE2que3dZoTdBDEfRYUJuAl8cEaZORRjk7kirNnfkrGVpkdEllju9hCVMdx3oVceElYhNI4gw\nfh/lB51nJllVsq0J5yw9U3QkZd03JX2R745Lc0emWsIYn3E7+sgsZOcs+THSfnvSNj72HDFhk5jr\nNp6ygsjGEFque3dZWQxVsUA4TJuZdQSkZ6NumvMWhyMUWExLnZFUNTL33iLDHWN2WYlcZ9xxKg+k\np66YmBe/j/JTPGTGcuV4kT1u6pmDuKRZajLvgR+jNXHVxPaliTBTaImDX1k7Hjflgirttydt4zNP\neEfciic7R0Q6hqvluneXlcVQFQvE1B0pyU0zR8K+qjlrTjuFaWb/Bt2RktmGi4zUHVlGhLlO5e7D\nMrFpBBFmxxLmibAM8TRG+ixAYNq3ZImOpKz70nq7YkeEJblL0yxvFmYHxD4yceb3jXHSfnvSNnna\nl0XcWkcirDiGUHPdu8sKOahj3I5n48vDfXhovIo7D/1EsNwEB4622LAQZ6xpp/DXxo3SDNgyt0AV\nlAnMf/Xep0EVAn+6dR8MzzL1ir03YSCAY7Dx+Y1vVt1MAIDCFKiSMks3b5zGsy99Er64cV/ufXHh\n4iUOx9MuvgnnGPCPo0dwkbaGh4aPlm4fuSOJskwueQq+vX4EDz0yfTH9/Z6X4pI9m/iWczB1u88Y\nN2Tu+4zFcbvxVFx12bcwOHNnsFyAgUHg7kP/B848KO9f/ml4Ba4/9BN4gvMo9j/62WlbPaF453Av\n/vbSH5Bu99d4Fm46dEVk2QpMPPnR/46/GR7Ghq3izmt/At81uQe7Hv8qAGC47+nYeHR2YOz3jXHS\nfnvSNj7/YN+AJ+KjqeuMLnsa1s5/G9868CO4/uQnwKwRjh56BR56JBrL9OXtfXjpwefjihO3p+6P\n2MEQWq57d1khERbj/3ngxuDzDx99UYstScbP9fOuh6+Vfl/XDJypO7LYvt/89U9Dc2186vqbAxH2\n+vu+jMu2T+P2Jz0Xn6+hnQCgJ7g+nvHwV/DCi56PLxbYF3csvPLuzwAA7rv8ehy74gocVOcTYXoN\n9SiJfnBs/WmRvulnjj4n13a/+/DhzHWEYPith78Lt173DDwTOyIMfABYQ/zId34QlisfQHz81H58\n/NSL8ItXPYA3YSrC/Hiufzy/B/94/pnS7aZ97o2RZftXLHxh8Fn8t0evBDDtiz903QDfh6kIu3v1\niLwEUkIetLTfnpU77fdPPBE/nWEI/+baM/DdwxP4yYdehC/s/juo1ghvePSFODaOWnBuP3MJrl29\nDW8DibC8TISKdx+/uu1m1Aa5IztIXTNwuDUbY5WGwhRoXjB/OM+WH6tVZxmktAz3RZPOhi2A3LXA\nmTK3JYvckURZmkj4GT+Gq69DMCVRgIUJlzXKytCfhKzUUDj0wio4GJyHPBOyTGgQCsfQUYIJEuGS\nUmGSks8SchYlNVRdkAjrIPVZwoq5I7XQVPdwigd/P7LajlWRlly1aPml8IQE7ljgqEKEkQojytGE\nCIvHmrraeu642HDC1LKCY+QqcGN5xcIxZ00mPc0jAqaldXSMHDWYKJEUy5aUfJaQ0/U4OhJhHaSu\nm5Y7s4HuqesrCSLMC5ivswySlpLrqKgFLiwWuWNBY8rcliwuiVcjiDzI0tJUTTzI3tYGiWWH4oQT\npiYF8WchBIOjRV15Zsj6VdcM8MT2ZMw8nWZ1n8Z/+ZawpFmkSXnWCDldF610N3SQunLR6JLZhqnr\nhzouP88WAwtEjV5jyou0vF56QfEXzjfGbRN6Be7IMvnKCAJoxgoUP4alDjILhPuEyxol5RTLg61G\nS9WY7k5/0nj5nwwroAketNdVOARYohUwqewTIScpT1xXIBHWQeqKOVCFA6VAviyZJSwcq1VnGaS0\nDPdF852FU13ojgUOBj5nYH2d8XBEt2lCgMSt6aY6yKxN6RN2wyXFReXBVKO5oYyQJSxeGLtusn67\nIdSgvY6ip4q2JAsZISepYkJX6Pav6yl1+tDTAt5n1w25ID3xFhZmWo2WsFQRVtQdGRJh3DKmImxu\ndySZwohyNFF/MD65x1DWMl1yPmF3W1JcVB7ipWrCbs6mLWHxSQJxTKEF7XWZluq67bp7rWpGdrfP\nF4mwDjKuMV4iKfWDDB5KcuiLsIiLssbkr7qSJsKKiT89NjtSB4M+p4iqMx6O6DZmA6Vv4iJswgaZ\nZZF8wi7I4RwibBLLkm6E3HiTBYsJM4QWtNdhPCglJaPrs/2qZtRx0UoirINMajR3p806nFk35Lr0\nM85HU1XU6I5MubWLHpfbO6k5FOFiVcxvyeJiuUpAEYtDE7PF4u6+EVvLLcJ8d5tgCow5XEljlmwJ\nazrNQ1Y83ESoQXsdhaeKtqFNr90idN192+1f11Pq7KDSZh3GicyIDETYbKqKOqg0JizWznVUIMLI\nEkaUpBERFrM0jbE6kzIiiWBG5ByFrwFgFCtVE+7Xmk5bkPXbDVcN2msznuq+JHdkMUiEEUtHnbNv\neIqbb2bdsAhjzPs/ZAkrONuyCGkFt4u4IzWmgcWC8AeuO3eKCQrMJ8rSRHqGcMJVABhiJb8lzBcZ\nOVNaJO4nJsIi7siGhUzWb58ILSTCtNT1uy4qqqbr7lu6GzpInSMtvYAlTA8JIR2zIkxvyR1Z5Lhc\n8iIZuG7hNBczbagxUS3RbeqM+QyOEUsLsCVW4eR89rcdv7B4clxUrv2IqAgLxwZN3Prj4sK4GWEY\nE1cN2muDp1rORo4KQbVjc1O26sKy0O1f11PqHGmluflm1w3HhLHZZQXLIBXBt7xJvytggeOSF8/A\nsee3hNkkwohyNJGeYRJz9225q3BYwZiwOd2Rm25UhIVnWjadtiDrt49dNWhvliUMwNxWwr4gFJ5Z\n23PZIRHWQeq0hBVyRyIswrz/wy7KGmdHpiVTLSTCJCPgdcea251YZ8kmots04YqL9yEXnJVp/qsc\nCMEgFC0zrUMWm270eOHfPU/qizJk/faJqwbttcDhZglWEmH5yJmbbpkhEdZBypYKyUOam29m3ZA1\nys+rFbaEKcKFWsCyVoS0Lq7IhACZCBtY5tyB9dyhmDCiHHErVS3HiImcTUeHXSAUAaqeO4YsiU0n\n6s4MW7+ajgnLcsWOXTVorwUNTsZvz1t9oO/MK+SXARJhHWSe3DxZ6EXckQjHhPnbR2+5InnHiqCn\nWMKKlF+SxcCtW8bclrA6c6QR3aaJsjdxS9g5eyW3OxKYZpjPO5syifN2dPvw7256hmGmO9JRg/ba\n0DLXz1t9oO/04TyRCOsgw1pjwgpYwkKfNd8SFrvltAJ5x4qQltG+SCFymft1YE3mdicWLYZOED5N\nuOKGsSzl5ywddoEs9ULhc1vCztpRS1g4v1bTMwyzrIAjVwnaa+YRYTUNPrtGH85TK5UxGWPHAGwB\ncADYQogjbbSjq4wcFaipny5SuDq8rp9XKx4wXyT5axHSHl0GAY1psHMkTJVNRBhYI2zpg7nOcdFc\nZQTh00RQevwY52xeyB0pVD07LiqD81Z0+7DwajptQS5LmPfZgpbpvpxXoPaFPrht2yxP/s+FEGda\nPH5nMV0Fgilgc87gk1HEEqaHZrX4ZX7ilrDa3JEZuVS5ymHnmKEoc78OJkPoaxfPJ8JqzJFGdJsm\nXHFxkfO4wWGlDm2iCEXPHcifxBkzuv3IVQPfTZ0hFzLsDBE2ctTAQmlCg53x2/vgZquCeV3aywC5\nI7tKTQ95MUvYjhIKLGHxdWoLzE9XYbLUEzI0iehcN7fnzvZPIowoSxNWoHhIwzmbw0D+PsVVeO68\nYkmcNqO9RZvuSCvDXjFy1KC9plAzXbfzWgn7Qh8shm1ZwgSAv2aMOQD+ixDiPfEVGGOvA/A6ALjq\nqqsabt7yc+8TXo4bj/9x5ft9xdlT+CsF+MmLn4bnnj8ZLP/oJfvxmY1vwhHTgPUf2nsTXvXQPcH3\numeVi4u4V6iX4rdxEvNyEd+Fd5k7BX8PPXR36vq/O1nBL6wp+OfrV+Fj5+9KXE9m+Vu1Jrj67EN4\n74GnAADev3cv/mnj27na+V9xBZhwsW6cyLV+VxFMBfPuFf9zeFmfeeDKH8G1j/xF4vdNxISNHC0Y\noj945cswvF/Fv3/8e3Nv/8vuv8JoOF87N+1YEXFXxTsu/Q0AwPlHm311ZVkBR64StPfdp27Epfy6\n1PX/x+qL8HLcjU9f+SbcMT4AALhh9QxefuKd1TR4SRlddjN+W/w43owPYu3sPfifay9su0m105YI\n+z4hxAnG2H4AtzPGviWE+LvwCp4wew8AHDlyZL5CfT3kfvcJuLGG/V5z9mFg3xqum4zx7GN3BMu/\ndPGLoas6DMeAK1xc5QgcOnss+F7zRVjsSl4z2qykXauqHmlPFrc8/FUMbjyC66x0l2RSSo6BOQyO\n91eXvDjXMVWm4tYHvpS7jZ1GHwDGVvRzeFmPeZAdxGGFgyXMoB069SevHLk7x3iYPQEA8KWN3bm3\n/+ipyytvEwC898ShWvabhZ0RexC20t21tY5phdlk7hzvw8sBfG77anz45BUAgBdcNsDL523okjPk\nl+C9Dx7C66/ZizUAd472td2k2mnFHSmEOOH9fxrAXwB4Vhvt6DJGTfpa92b16bF4M10I6AoPYrz0\nWIFr3Z3+HU8doVdUQ7FMbBlnHOsZ+briKTWk+8l5vLri35YRl++a+Rxe1mdMoQFaWtmb+sfO04Sr\nvnuN7lsz5SkXTIUtir1KJ17pqXB836iB1COLjp9fzY8nbKJEV9s0LsIYY+uMsYv8zwBeACDdd0QU\npq7SJn4sUzxFAxcCnGng3kPEYyLMz6sVj9WqqpB1mdgyzhQMMlJF5ImBS0uHEaaudBzLiKOtz3wO\nL+szhtBSZ4XVmYImghdXatQ11XqJSI0JKxF/6yfUDruWqbD3zgQIfyZu0/ng2qCNt8LlAP6CTVMV\naAD+WAjx6Rba0WnMmkYQOyIsagnjQoArKlzvlorXVgxEWEywcMeu5C7USokwFQM7PcA+lwjLezwS\nYQG2NgjCvP3P4WV9xhRqYqZwwRSYDdVNFCoHs+rrS5YJM02Ilsjq7mf8D6cCaTrtxiLiT2jwU4LE\nKzd0kcafLiHEAwBubvq4faMuM64mHChMmXEj6sKFrnC4nqVLj4k0f/24m7KqGopFMvn7rCoaVu1R\nqj04LfN+sE5OSxiJsB0sdTDzObysz6RawhpMbeCnUTBIhKW6ZMvksvJdj5EqAGQJg+WJL38iRB8s\nYXTVO0pd7kgA4AqfSTbKXQecKUHqh7glTPPE1oyFrKKkpWXcketMyywinsfVGHe9JiErgdRXjJDg\nMtT1mWV9ZiLU5Kn5DdbS82PCSISlu2TL5PzyXY/RtBvdFxxZ+JYw3x0Zr9zQRUiEdZQ6C9xyRUuI\nCVMDMRSP9QrckW7MElZR+Z4iSWR9BkzNFIF5Xnl5RVhdOdGWEUNZC31enVnWZww32RLWZAZx/1h1\nDuiWBTMlaL5MLitfcIXjwBqL9Vtg/Ng7X4w1UR2ibbr/C3vKRNQowpiWYAkLi7B4TFiSJayaQtal\nRBiUZkWYpA5lX5mwtZnP4WV9xkixhDVZS88NLGF035op56DMNQkC88OzI8kSFogw//8+uGi7/wt7\nyrjG6c5yd6QLzlToitwSpju+CItbwiqKCStxK68LQM+IScvjjoyn60jcF1nCAkbYEVxj73N4WZ8Z\nCy2Yqh+nyXI3bpAmgO7bSUr49DyWsLj1qw8Fq9PwY8H8/4c9SNtBIqyj1JlVmyvqTCwVd21wxoLk\npjPuSl+Exd2UFZXviRcGz8NAADxrdmQOK1feNBtJiV/7yDAkuIZYnVnWZyaOkvhib7KMi+tNJOnD\nDLUsJhW7I4eOAgE220/3vKak6Yld//9wzFxX6f4v7Cl1+tI5U2fciNx1wKHsuCNjSVD99bmIW8gq\nckeWuJUHrpsZk5ZLhOUOzKeXmc9QrOx89kVYaFmfmbhqMEU/TpMiLEgTQJaw1Li4MoXKR44qFVx9\nL+ztu319d+SIYsKIZaXWwHyZCHP82ZFZlrB4TJhRTZtKbDNwnUxLXJWWMFkx8L6yHRJcW+7KzLI+\nM3a1xOLXzVrCPBHWA5dQFmlxcW7JWc+Cz84GTsoP1xd88WUKFULRIET9Jbraht4KHaXOIE9d0aDH\nxIvu2tCx446MW7iCckd1uSNz5POKs+7YmZa4PPFecWGZuF6JNnaVTXc1+LzlfQ4v6zNjV4XN5BYR\nt8HZkb4lrA+5mrJIi7FNslpm4fLZChF9jwkzAnckB9R+DMpIhHWUOktgcCgz4ok7FjhYEJs1Ywmz\njWC9MKpwoVRgIcpbOijMum0F7Urcbw6BlTfhbJkZnF3lgrMS+qzPLOszI0dJtIQlLa8Dv4RMH2ao\nZZEmRJMmUWRhS0VYv92Rhid2jZSqEV2Dnq6OUmfOGc4kIsy1pyLMs/bMuiu9mDBJwewqCluX2cOa\nbWSmyIin1JCuk9MdmSf7fl/YcPTQ55WZZX1magmT39FlrS5l8BNmUuoEYJISm5R0rbKwJcmJm7R0\nLiK+29cUWm+sgiTCOsrIqW/ErDM1cC8Gy5zppGJfaOix1BO++1KWEoJX8LCV6brWLQMMIrWwdrz8\nknQdibCUQe7IHc7bKzOfw8v6zMhJEWENvqR9l+iI3JGp7ki7pHVSVqaryZi/RcSvzmAIrTeTFEiE\ndZQ6LWFrTAFDLN+XbYGLHYtU3M3nz0KU5QWroqZiKXekNfaOn9zx5bFyZZU+CtbL16xecM7aORtn\nvc/hZX1m6ChBgHKcsi/8MvhZy0c9SBOQRVp4h13yyTYUmQjr9yQIf0LZRKi9cc3S09VRTFeBqCkG\naSC5bbhjgmNHDMkC7jVFXqtRq+DFkjdNRJiB6YmwlOPnEmE5E86WEYpd5WxIcPni6yyJMADTF36S\nCGvFHUmWsNSYsLLCeCIp09Xk9V1EJr4lzE2pn9oxSIR1mZpu4jWJW43bZtQSJom1mmbaly2fv5PP\nE7sVZ2Bse8dP7kS1HEH3uQPz8zWr8wgwnJdYwi5YWm0Dh2Vi5KiBFSpO0vI68IUg1TRMj4sre01k\nZbr6IjySMAJLmNabc9Fv22fHESsXAaYnmGxjxoUo3UbVAaYAjgko2vSzj2OBCQd7XG8qdUg8acLF\nmhBQwbCirkgtYRdpA+j21sxyPTSS1BUdtrDhpogqBgY9Fi+w6hY3M60bQ++YGnRFB/NmdpqOCZWp\ncOFi1c4WWCu2iRV1BbZrw4klo9WYBlvYWFFXsEaWsCmqjm1ThViZpqQ4P9YgBgOMDBVisAewx9H1\nY/euUFcAxlLvaQEGaKEYMyHAKspJFzkOU3aSbgoXzDF3lpU4pmAKTFeZTtGXYLDm0nhYNDsyYNtW\nIbTpuWf2JPLdGOWuySZ2zSwzO1bEXmirM+crDd/iOOmRJYxEWIe59tzvBJ/v3/cWaFuPZG7za3v+\nHT7w6EF8+fB/xQft5+F3jx8OvvvbJ/4prnnkE/i5r/8lPnLgLfg3Dzw9+O6j130GP3v3H4M5Jl4P\neebnz37za9JjcqaCKxyWa+GD41X85v79+OqF+xPbeM36AXzi7v8VW3o087fNHNePU2MaPn7exJXn\nHgYA/OjTnosXYB13qA5u+dpnMvdz6Owx3HEWePstL8afn78r8t0bdz0Zvz+8D3fcf7RUGzuJynHB\n0nDYen+w6PDWewEA15q/P7P6/ft/Cdrmw8HfP7v6W/jc2Utw96F3Ytfj8ntqcumNeMqJXw7+vumi\nbXzSeV1VvwDA9B4/dfk/w60P/AwA4DUHj+NXzr4Vm/ufiZsfehNeuv80fmfzF4rt1HtuLMgtL685\n/i/manMRLKFBKBocQSLskckKDuP90BUX9+mvjnz3qu88r9Q+X3n0tpll/+/my/Bf8NlS+1tEbpq8\nB9/Y9SYok/O51vdF2NhV4VCKCqJL5B1V+A+Bw7SZrPvhGVtmLIO0BQ1QdQjPtSckOXCS4IqKgTYd\nAWqOnVmCqOpC2FyJVgDgTJ1m0y/4eMhivlaFi9WeJB3MS9FZT/F7178v0+7peIBzHbVUBV+PPBOT\n4Nnhkb8L4b14zITxcZ01YeP4zzSxQzzW1rdcVkVaKoxlZOwohfJ99dES1q0rTiSS98XnPwS2os/U\njAvHPkxiLwkTfOom8gSHLBt0EjpTsa5OTfq6a2XWWNQriCGLHz/sPtWZgnXHgV6wKLgsDxh3Xayp\nlAk+TNH8P/HcSX58TloQczyVQx016NwZEaZFjj0qUe5HKNPnxxTybYcNijAD/UkTUIjwOan4/Axr\nTC3UNL4VtcgsR3+QMU6pn9o1SIT1BDfnDe0/BDa0mdw44Rlb8Xpy01pfPBj1yLJBJ8H+TX8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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the results\n", "\n", "player_names = mp.populations[0].keys()\n", "\n", "plot_data = []\n", "labels = []\n", "for name in player_names:\n", " labels.append(name)\n", " values = [counter[name] for counter in mp.populations]\n", " plot_data.append(values)\n", " domain = range(len(values))\n", "\n", "plt.stackplot(domain, plot_data, labels=labels)\n", "plt.legend()\n", "plt.xlabel(\"Rounds\")\n", "plt.ylabel(\"Number of Individuals\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.0" } }, "nbformat": 4, "nbformat_minor": 1 }