{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "%matplotlib inline\n", "\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "\n", "from IPython.display import Image" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Chapter 8 Planning and Learning with Tabular Methods\n", "============================\n", "\n", "+ Model-based methods: planning\n", "+ Model-free methods: learning\n", "\n", "the heart of both kinds of methods is the computation of value functions." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 8.1 Models and Planning\n", "\n", "+ a *model* of the enviroment: anything that an agent can use to predict how the environment will respond to its actions.\n", " - model can be used to *simulate* the environemt and produce *simulated experience*.\n", "\n", "+ distribution models: produce a descripiton of all possibilities and their probabilities.\n", "+ sample models: produce just one of the possibilities, sampled according to the probabilities.\n", "\n", "##### planning\n", "\n", "\\begin{equation*}\n", " \\text{model} \\xrightarrow{\\text{planning}} \\text{policy} \n", "\\end{equation*}\n", "\n", "+ state-space planning: search through the state space for an optimal policy or an optimal path to a goal.\n", "+ plan-space planning: search through the space of plans. includes: evolutionary methods, partial-order planning.\n", "\n", "common structure shared by all state-space planning methods:\n", "\n", "\\begin{equation*}\n", " \\text{model} \\longrightarrow \\text{simulated experience} \\xrightarrow{\\text{backups}} \\text{values} \\longrightarrow \\text{policy}\n", "\\end{equation*}\n", "\n", "planning uses simulated experience VS learning uses real experience." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 8.2 Dyna: Integrating Planning, Acting, and Learning" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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78eoNTHKZomjRwnzj74IFC3CaDerUxKTRI7CYPuE4TJuIsPDwVPelTQTYJjDD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\nGkGfruVnYRoOLLRDq14TsLJQOPxf3cS8ImPg0Ks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i0dazTkFRTqjXddEos1h4BNuXTED/Hi1Ru0C4OMOlqS5nhcgUVdOW6v1Lzii6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\n8XsWRdn59JCnPdrRG5ABASGIL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"text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Image('./res/fig8_2.png')" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "Learning and planning are deeply integrated in the sense that they share almost all the same machinery, differing only in the source of their experience.\n", "\n", "+ Indirect methods: make fuller use of a limited amount of experiences.\n", "+ Direct methods: much simpler and are not effected by biases in the design of the model." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 8.3 When the Model Is Wrong\n", "\n", "Models may be incorrect because:\n", "\n", "+ Environment is stochastic and only a limited number of samples have been observed;\n", "+ The model was learned using function approximation that has generalized imperfectly;\n", "+ Then environment has changed and its new behavior has not yet been observed:\n", " - original optimial solution doesn't work any more.\n", " - better solution exists after environemt changed.\n", " \n", "\n", "=> conflict between exploration and exploitation => simple heuristics are often effective.\n", "\n", "Dyna-Q+ agen: keeps track for each state-action pair. The more time that has elapsed, the greater the chance to be picked next time => special \"bonus reward\": $r + k \\sqrt{\\tau}$" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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kz4XWuu5kQyQRGNSjq+Q8bXsNxNJZU5DLJrukPDfu3seGHXuwdt5MSfJcaNSM\nOahbvSqasJ29UlII+2LrOmi4UnV33XcQP9j/fMtnTpGiQpQpyUKkSI19JLnQZAgePnUWPCxMuxZN\nkpE75VnEHy2smA07dksujDthni6yOFXKpAcsTpW5ubmkLOHh4aKcMjrC2WfnE/vzD5AevJMrucIO\nFzMxMZFkV2hs+BJl7OIFezBmLz94SdIh26CqjI7oqJ/iuTaSFGhJiByJAnirdOlQtlQJtGneWOFu\n0pf8y7d+repo0dAxacHYp95ffTBhzkKldDzxfIkw9j+fMnblyZMLLRo4Il/ePJLsymBlhdsPHyml\nY9fhY6jHgslJtSsoOBjmlmkly3PD37MIum/Z/6Ql2K8+qakYkzVPk0aquNrkeHTksLCYL021KUmi\nYB43i4dIObJlXRJS8R8t37gVT56/wMo50+I/SOJdacdm2LR4Dso5lEpCKu7RnQce6P3fONxzOxJ3\n8w9XA0ZNQqniRfBPjy5/kIx7nCpXYfzwvMciYEv7LLjs3o8z7lfgumJBXCF/uKrh1B4zx45AbYm9\nGN7ba+LcC6+un/tDyXGPR06dDeus2g23E2dNwlfkSBLmQneJQIoJdGvfOsVlUAFEQB8ISBs81Iea\nkI1EgAgQASKgFQLkSLSCnZQaA4Hb9x/i2q27xlBVqqORE6ChLSP/AFD11UfAja1mCmVzJFUrllOf\nEiqZCOgAAXIkOtAIZIJhEhgzuL9hVoxqRQR+IUBDW78AobdEgAgQASKgHAFyJMrxImkiIJmA12dv\nvP/4SbI8CRIBfSVAjkRfW47s1nkCm9h586u3bNd5O8lAIpBSAjRHokDw3qMnOHLSDd2HjFK4m/Tl\nCbfzuHHvgbj5L2nJmKd8Q6KvzzeldLjs3Ctm9vL+IkWFKPOR/RLuPnQU8tlK25B45uIVfPr0WSm7\n9hw6hoOn3HDqwiVJdvENieEhoUrpkNWd726Xmp6xDXUfGSttnwfS7++OLBoOCwujxRTNjvv98tVX\nsgVffHzh7eOjVB5vMY+v5DzKynPjuU3ZrLNI1sHzCCzsD69PGjNpGxK57Jdk1F3MJ5Fx8uruC0u2\nkVeXEzkShdbJmjmT+K5mZWnhTrgw/6KrWbkC+5OWhzuSU+fcJctzHeevXhd3SEvVEWdXRcmOhO+c\n33XgiFJ28brXUqLu3JHsO3JCKR232C7oN+8/KpWH25XO0pJj0GrKZp1Vq/ojYs+LL1lXeoiWb77f\nRJsv3rgt2Xaep1nnnsgqsb4yHcradfD4Kax02SbZLi5Yok4TyVEOkmtXhz6D1F733LlzYerIIUrV\nXaPC7BcTpVgC+4+dElp07aMUjyadewosppLkPJ+/fBWsS1aQLM8Fpy1YJoybNV+pPHnKVRfevPsg\nOc/pC5eFum2cJctzwXZ9Bgnb9x+WnCcwKEgwz1dCsjwXXLh6g/Dv+GlK5SlWs6Hg8eSZUnnUIRwV\nFSXwP22lsLAwgYUJUUr9sg1bhAGjJiqVx6FuU4GFPZGch+2vEcrUay5Zngv2HzlRYOFblMpjkrOQ\nwOJ6Sc6zedc+wXngcMnyXLB6i3bChas3JOd5/vK1UKByXcnyXHDElP8Js5etViqPpoWpR6JRt61K\nZWF4c+MS7nwMRKY8DqheuRB0u/OryrrrR1n/W7oaIaGhmDVuhH4YrGUrv726hSv3P0DInBtVq1VC\ndgtpwRa1bDapZwRosl0vPwZhODSgIgq03IYnb55hlVNjWDZYDekzKHpZab0z2qlhPa1F/tU3WK92\nDIN1tX9x9ulrXFrRDTZ27XHZX7vzS/rGUJv2Uo9Em/STqzvwMabsD8FFr02oacp+tY3ohH9snPEo\nsB9srOhXXHKxqjqfQ8liqi7SQMsLxpmhxzDyxH3MLcfntoaiVrcyOOrphxqVtTvPZKDAVV4t6pGo\nHKkGCkybBdVgglGjl+P4DQ94+efAii9XUY+ciAbgkwrVEzBHrsZpMG/0RLieuoGXnwLQ1OURZpMT\nUT1qNZVIjkRNYNVarGl+LHt0CANyfsQip7+Qp1hJmLSZB88wGgpQK3clC1+7dSeWrndRMpcxipvC\nacMFnOqSG2fm/43CZSvAzKYdjrwKMUYYellnciR62GwRn25j291U6DpiDs58eYWol26YdHkttj/w\n08PaGK7JednhYvnz2hpuBVVVsyhvHNlzB1W6DYfLGU8IXzzg1ucFnA48UJUGKkfNBMiRqBmwOopP\nFeCBrl2H4ZxPpFh86rRmsGRDXYKZOrRRmckl0JgdQSz15Mzk6jCIfFF+WDp0IBZdlh1Xaw5ph/Ya\nRO0NohI02a6HzWha7G/cnv4AFUoVlVufs8sM3CtHE5NyIHShPwQsSsD18HjkcKqJKTKrbVvhxpkK\nsnf0quMEyJEoNNC7j15iiJQ1W3Yo3E36kodISZXKBJ8khi+RhUhRRsfqrTvEM9vzst2t8mRRGaum\nl8KPsGiksUgLS7bm/qCC3TxEyhqWT3qIlMs4z87PUMYuHiLlK9vVHBAYJDcrqYug4BAxRIoyOnjd\n33z4iBJFCiVVdLxnPESK34+AePe08ebI6XOIiIxAm2aNtaFer3TaVO4Jwas9fL8GQkhrhWyZ0+uV\n/cZuLDkShU9AxgxW4jselkOZ5PPND1LzBMTGjJIqz+2Ijo6GiYmJZB0y25+9fA0fP3/Z2yRfuYPj\nSRm7uPx39oUtNU94eATPIlmey4ZHRIixkqTq4Hl4srTQ/uDIN39/MbRNjEWa/5eHSOGxtmzL15Cs\nnP8A4emI2zml8pRv4IQ8bE5ISpLpSI5ds5evlqJClOGxtmzL10SaNNLGfGV2uV+/IVkHz1Pnr45q\nr7udnS1GD+on2S5NC5rwrfSaVkr6iAARUD8B/r+2+7WbyJcnt2RlgUHBiIyKRJZMMXHnpGRkYX+Q\nNUtm5vClfWFzB/eN/cDJaZNdSvGijN/37zAzNYNV+nSS87xlIwzK1D04JISdaBkG6yxZJOvgP8Ay\nZ8ooOZ5X1M8oFoDSF3ly5JCsw//HD2ZTZtgqjkhIzq0ZQXIkmuFMWogAESACBkuAVm0ZbNNSxbRJ\ngP9KHzxuqjZNIN1EQGMEyJFoDDUpMiYCD58+Z0MROY2pylRXIyZAQ1tG3PhUdSJABIiAKghQj0QV\nFKkMIhBL4PXb9whmy5wpEQFjIkCOxJham+qqdgLt+w3GcXYCJiUiYEwEaGjLmFqb6qp2Anxjaq4c\nNmrXQwqIgC4RIEeiS61BthABIkAE9JAADW3pYaORybpF4MtXXzi27YIItgufEhEwRgLkSIyx1anO\nKiUQGByE9i2aslAcaVRaLhVGBPSFAA1t6UtLkZ1EgAgQAR0lQD0SHW0YMkv3CTz1fInHzzx131Cy\nkAiomQA5EjUDpuINl8CkeYtx4x6d4me4LUw1k0qAhrakkiI5IvALAT65TvMiv0Cht0ZJgHokRtns\nVOmUEIhkYdB5IieSEoqU15AIkCMxpNakuqidgA87EbJYzUbgr5SIABGIIUCOhD4JREAJApZp02Le\nxNHIZp1ViVwkSgQMmwDNkRh2+1LtiAARIAJqJ0A9ErUjJgWGQODZi1fYuuegIVSF6kAEVE6AHInK\nkVKBhkhgz5ETCAsPN8SqUZ2IQIoJ0NBWihFSAUSACBAB4yZAPRLjbn+q/R8IfPXx/YMEPSYCRIAc\nCX0GiEAiBIKCg1GmgRM8njxPRIJuEwEiwAnQ0BZ9DohAEgTuPnyEcg6lkpCgR0SACJAjoc8AESAC\nRIAIpIgADW2lCB9lNkQCL16/wbBJMwyxalQnIqAWAuRI1IKVCtVnAk88X6Fk0SL6XAWynQholAAN\nbWkUNykjAkSACBgeAeqRGF6bUo2SSYAfVBUSEprM3JSNCBgvAXIkxtv2VHMFAtHR0WjZoz+u3bmn\ncJcuiQARkEKAhrakUCIZoyDAQ8NTVF+jaGqqpIoJkCNRMVAqjggQASJgbARoaMvYWpzq+xuBps69\nwHexUyICRCB5BMiRJI8b5TIgAna5c4PPkVAiAkQgeQRoaCt53H7JFYwHR9Zhb5AjpndyiP8s6g3W\nj16JR+xkvVTfPOFbdiy29C0dI+P/ALOGLoGPtQki8nXH/ME1kTZ+bnpHBIgAEdB5AtQjSXET+WLX\njKno3nsZDvhG/Faa14mt2BSSEQVsMsI8aw0MalUiRibsDUYVa4tHThOxaMFS2Lv0Rrm1t3/LTzeI\nABEgArpOgHokKmmhKGxvYA9np60QBldQKNEbk21q4uvijRhdvwLyZYvrb3w/Nx2ZO/vj2ccFKGpq\ngsAbS5HB6RLuvtuNshYmCmXQpboJTJyzCGMG9UO6dJbqVkXlEwGDJEA9EpU0azj42Xklfykr8tUN\neNgCq4d2Q/5SJVF//llExcp8eMz2K9gXQU7mRHgytbRi/wYiOHY/3Ou37/H85Wu8evsOpy5cguer\nN6Ic/aN6AqcuXERklKxlVF8+lUgEkkPg85ev4ncAf9X1RI5EjS1kVrAl9t9+gaiX7jgwuCrOzuuD\nFR4BokYzc/byPU552nzlUB8v4ObpJ96s8VdHFKteHxWatEbjDt1QtFq9OGG6UimBmycOIFPGDCot\nkwojAikhsGrzNuRyqCJ+BwyfMislRWkkr6lGtBi5ktRWtvhrwlpsc68A51OeGGJfASa/HP8d5fUY\nbhAw2DbmC+3AhpUIZWeEm5uZoVrztkZOkKpPBAyfAF+C/s/YKXj83BN37nugW8e26N6hDXJks9b5\nypMj0VgTpUPx2rlQI1vMOHzaXDbAhwhEyvVzz1IEOaximqRy+TLyJ3ShXgJ7j56EU0NHpEmTRr2K\nqHQikAgB7kQad+qBmw884NTAEe2dmmHUP30Tkda92+RIVNIm5uAjVT/NzeKV9s3jKu6F5Eb9ynZA\n2BMsXRaK8c+KizJ5HbuhjOCMPc96o38xS7y7cQNoPADlrGiiPR5EDbzpOXwM3t64gCzkSDRAm1T8\nSkDmRO4+eorze11RvWL5X0V0/j05kpQ2UZQ3jm7chE0PI/AswxZsyOmMXi3KiaW+ODQRDZaxSfIa\nteEES3R1P4nGmWMdReYqOHd4PLLUGYiI8TZY62KNu+edQA2S0gZRPv/ne1dpxZby2ChHCgmcv3Id\nnQcOg7f3F6RNlw5ndm3WSyfCMdDy3xR+GHj2KLbix9SUu4AohLHFPxbidUzBYYFBCGX3MmdOH3Pj\n13+jguAfmMRzJm9iU0DMJXx5/Wtuek8EiIAeEuBOpLFzT5QpUQztWzRDozo1UKp4UT2sSYzJ9ANY\nBU0X40R4QabMicQv0MIqPSzi34r/zjQ9czLxb9E7zRLgS6zz57VFqlS0iFGz5I1Tm8yJ1KhYDke3\nrEfatEl+Q+gFJPo/Ry+aiYxUJ4HS9Z0QwHqOlIiAugnInEjNSuUNxolwZr/8flY3RiqfCOgegRPb\nNiA97WrXvYYxEIsEQcCE2Qvhfu0GOzjtPupWr4wjLusMoiciayKaI5GR0OFXmiPR4cYh04hAEgS4\nE+k1fCw27diDpvXroFihgpgxerhBORFefeqRJPEhoEdEgAgQgeQSUHQim5bMFTcXJrcsXc9HcyS6\n3kJkn9oJ2NhXpoOt1E7ZeBTwxRslajeGaZ6i2LR9NwzdifCWpR6J8Xy+qaaJEBj37wCY02bEROjQ\nbWUIcCdSq1VnpE6dCjPHDEfFMg6oV7OaMkXopSzNkehBs9EciR40Eplo1AS8v/rgOYvQzTcYWpib\n4+KB7cidM4fRMKGhLaNpaqooESAC6iCwdL0LcrLh0TosYrcxOhHOlByJOj5ZVKZeEeDB8sLCfgnH\nrFc1IGO1RYA7kSHjp6JXl444t3877p05ZFQ9ERl3miORkaBXoyWQ3doaJhQr02jbX9mKBweH4MT5\ni7jB9oTMX7kWw/r3wsKp45UtxqDkaY5ED5qT5kj0oJHIRKMgEBgUhAbsoLkbt9kJpyyNGNgX8yaP\nMYq6J1VJ6pEkRYeeEQEiQARiCcicyKPnL3H+wA5ULG1PUaNj2dAcCf1vYvQExs2aj8jIuCPGjB4I\nAYhH4Nqtuxg5dTYqN2sL7kTO7d6COtUqkxNRoESORAEGXRongQMnzyA6Oto4K0+1TpLA6QuXUbut\nM1a77kAadjwEdyKVypVOMo8xPqQ5Ej1odZoj0YNGIhMNjgB3Is269oZjtSo47LIG5mx/CKWECVCP\nJGEudJcIEAEjJkBORLnGJ0eiHC+SNkACe46coKEtA2xXZavEhzePuZ3HglUbqCeiJDwa2lISmDbE\naWhLvdRTs+B6Ia8e0tCFejHrdOnciXT7dxRc9+wX7WzaoC72b1hJnwmJrUbLfyWCIjHDJeD/9DZ9\nYRhu8/6xZtyJdB8yGq77DmL9ojlo27wxMmaw+mM+EogjQI4kjgVdGSmBDFaG+aUR7e+JCze9ALO4\nho1gq5xzFq+A0nm1XOfA19i/Yxcu3/ODYBmKn5kd0LptW9QpliXOWDVf8bA4s5ethvv1m7hw9QZc\nly+EcxsnNWs1zOJpaEsP2pWGttTbSDz0d8F8dupVooXSQ++ugWWTOQlqbjtyHbaMqIe0CT5V782Q\nZ4fQsvZwuEFgimxQ1yEVzj/8LCptPcEFuwbXVPv5FqGhYZg8bwnmrViDwoUKYNrIoej4V3P1VtyQ\nS2eneFHScQLInl/gf5TUQwA5CgpsQ6J6CtdiqSEPN4qfmymXPgqRoaFCAPvz93okrOhaU7zfcvN9\nzVvnd02on70A099W2HHHS64//Ot94X/1i4p29T78Rn5fHReer14LORyqiLqylayoDhVGVyat2jLk\nXwlUN0kEzu7Zyg4iSi1JVh+FLCytYGphASv2lylXSQx02Y5JtqY4NNoFzz5fw4Rug+By90tc1cJe\nYMGAXpi47ym8zq1GrxnbcfnUBnRrUB0mNlXRY/5JBMiko7xxbNkU1KtQSHzWfMBMnHnmJ3v626uH\n6wqxJ7L4xAZ0LJdL/jxNttIYc2QXurOA5Ov7bMVr+RMg+tNtrFm7D6/DeA8m+enm3QdwbNsFZRq0\nRPp0lji0ZR3unj6U/AIpp5wAORI5CrowVgKONaqy6L+GHP731/AvedC2W2VA+AA/0wzwOnkS3ddd\nRFTsByDwwQmM2H8eqfNkh9/LK9i4bAJqdp0J09qdMLOxKTbPG4jmLg9E6UuzO6P5jC2w6zgRe+f+\nDfP9m9Cwdj/cS/BL/ztuH74N5B2KLuUy/P5xsyiN4ROqMruu4FNgnNMI976D/hPn49Ov1fi9hETv\nPPV8iUbOPXH+0lV0bNkMlw7uhFOjesiTK2eieeiBdAI02S6dFUkSAYMhkK9SDVaXObj0IQf6DS6F\nzct24+7ctqhk9RO3dm8ATP5Cp/JZIDywFOu8+MQtDCmXlV23RWqbWtgawL/Vw+DnFY2/ph/Axr4x\nYUOa2kexeZnjCOaPLcSsCv+YwTwDd9hpFOf/FZ6zdQHi5nErJhGX0rIeFZARlsmc0Pn58ydKOTZD\nNIunNrDH31gxe2pc4XSlEgLkSFSCkQrRZwIZi5aF/9M7SJXKeDroX1/zMOhFUD1/FlRo2x5gvY79\nD/xQqYYftroGw2FkOxQ1NcEzhDCn0gktRCfCW9kKtg6yYUALtFx1EHanzmPZ/GN47PEQa07eZDLl\nRUfwascwFBoaO3RkUgs3XixnrkdaivC+j+37nyNN+jT4cnUNyxSBQ9v243X6SARGpEODdi2Q5w/f\nXmNnzsP8NRtgmtpUdCLLZ0/DwO7O0gwgKaUI/KEplCqLhImAXhIYN7i/UTkRsEGsd7efs7ayZoEI\nAdNijpjN1kmNOXkPQzN+wGZEY2NzWWDCYMDWlknGpXD5pTcWVaiN4R8iUaxGbbSs6ggXeyt0m/dd\nlLCwsUff1qlhaWmC4JDsSMeWIYudFOZw3kcJKMUcVUwKg5ePgNzZonF+zy3muBxhFfEEzqMmyjXx\ni2mjRsa+L4JLzZsjj5Usfzwx8c2yDVswe+kqdgZsKkxnK7L4Eu/+XTsZ+BDm7xw0dsfolhfoYYVp\n1ZYeNpoOmCxbtbXoaXA8a348dBVXLKGrqxAS++Tpmi7sXiOha/3CAspPE97L77cSUGGV8ENeQpCw\nsX4xoeTSW0LEyz1iOUNOvpE/Dbg0l91rK1wPjZbfU7z4eHKamKfu0ovy216Hx4r3xkwfJL7WYWUr\nppA7fPVZI+GSX8JlKspGRUUJ2/cfFsvh/9+ccb+s+Jiu1USAeiQac9mkiAhoh8CSJSuQvZYNeE8i\n+NVtDF52lF0VwYn57eX7SIo27owyEwdhy0MBLee2ga0EU82y5EEZmODKpdt4Wc4cEXePo2RX1gtg\nZT978hWVy9n8VkruRn2w0NYVw2d0Q/4nA7CuTwtYpykoljN72TFRfmiX8vHzxW6o5L2npNKPgEDU\nb/83bt97KIq9v3sZtrnjVoYllZeepYyA8QwKp4wT5TZgAvXadTHI2gmxU9Zv96+C89Ap6Mn+uBNp\n1noArtw6gMbZ4ra8m+StisE1+Ey3Dfo3LR7Hwzw9kCnuLb+KmTBnF5ntMXNwFdxeNwqFS1VnTmQm\npkz4B/XxAt2buuBb/Gyx73Jg2HV37OpTBdyuBk2aoizLd59tTmzRuKIo81f7eXgtW0ImLyPxnfhe\nn73R/O/eKFazIZ6/fostbIf6k0unyYnI2an/gna2q59xijXQzvYUI0yygDa9BmIfC9Bn3Ok7VjWo\ngoG5JiLExVneU5HCJMjnM76FMr/CltJmYL2Gn2HfERBpgcxWvy3bildcuL83Pn75wZZqpYVV9pzI\nbmUGv7t7MPtKFkwdLG3X/ZPnL9BnxHhcvXkbHVs7YcygfihdUsERxtNIb9RFgByJusiqsFxyJCqE\nSUX9RsDP4wKOntrPJsmPYrHbfQyxT2CPx2+5tH+Dh3xv2WMAfkZEoGrF8rh6dI/2jTJSC2hoy0gb\nnqpNBGQEfC6wXevMidQbuRJ99cyJNKpdHd4eN+F+YLusOvSqBQLUI9ECdGVVUo9EWWLS5dkiFoyd\nOR+zJ8iWlkrPS5LaISDriTSuU0M8MyRNGsXti9qxydi1Uo/E2D8BVH/sOhyzWohQ6DaBD16fsG3f\nYXE4i5yIbrUV9Uh0qz0StIZ6JAlioZtGQoCHOOky6D/s3H9YrHGzho7UE9Gxtv/Dymwds5bMIQJE\nwKgIcCfi/M9w7D58HPMmj0PFsg6oXrEcTE3pq0uXPgjUGrrUGmSLxgnwOZL9x0+hTbPGGtdNChMn\nwA+eOnb2Alx278MxtwvYuXoJ2js1TTwDPdEqARra0ip+acppaEsap+RIsQOtkCZvcQifXyYnO+VR\nE4F/xkzGyk3snBg2kb59xUJyImrirKpiqUeiKpJUjl4SMDMzw7cn7IwMSjpBgA9lNXXuhdPnL6Jc\naXtcPrQLadMmvbFRJww3ciPIkRj5B4CqD2TJ/EsMEIKicQLXb9/DwZNuCAwKEp1IqRJFsXvtUnIi\nGm+J5Cmkoa3kcdNoLhraUi/udx+8YGebW71KqPRECXzz80ee8jURFhKC3CzIYsYMVji+dT21SaLE\ndO8B7SPRvTYhizRIIDw8HAXYORqUtEPg1dt3sC5ZUXQicyePxUcWsffxhRPkRLTTHMnWSo4k2ego\noyEQ4LuiT27baAhV0bs6XGaBFkvXdwKio7Fq7gyMGNBb7+pABscQoKEtPfgk0NCWHjQSmagUAe5E\nGnfuheDAQIwdMhAzx/5HpxcqRVC3hKlHolvtQdYQAYMnMHPxStRs0V50IsNZL2TWuBHkRPS81WnV\nlo42YMk6TfCRHdiTLUtmHbXQMMzicyT5KtXB5wfXDKNCOl4L7kQm/G8+xvw7QBzKohVzOt5gEs0j\nRyIRlKbF+v/dCQGBQUhnmRbDJk7XtHqj0Zc6dWoM69vDaOqrjYr6+X/Hik2uePTcE7sPHsWkEUMw\ndeQQbZhCOtVEgOZI1ARWlcXSHIkqaVJZmiTAnUjdNs54+OQZbPPkwoCuzhj7b39NmkC6NECAeiQa\ngEwqiIAxEpA5kfdsiPbB2WNwKFnMGDEku84fP31G7dbOeP3mrVhG4GsPpE+XLtnlqTMjTbarky6V\nrfME+BxJi659dN5OfTNQ0Ym4791GTkSJBnz8zBONO/WAfb3mCGfHCO9atxwndm5GWgvdDRVDPRIl\nGphEDZNAOktLw6yYFmrlxXofl27cxvTFK/Dpy1eQE1GuEe488ECbPoPw7t0HOLdthRmjhyFf3jzK\nFaIFaZoj0QJ0ZVXSHImyxEheWwTK1m+B+x6PYZ0tK87u2ko9ESUaYsP2Peg9bLSYo2NrJ+xYtViJ\n3NoVpaEt7fIn7UTAIAgcYgEXc5etLjqRgT3+htfdK+REJLbs3BVrkTZ/KdGJ9OjcHl8f34Lr8gUS\nc+uGGA1t6UY7kBVaIhDBxqD/t3Q1Jo/4V0sW6LfaPUdO4Pzla1jjuhM1KpXH4J5/YxD746FnKCVO\ngAeqXLxuM3jY/P8tWSkKblg8Bz06ttXLzZk0tJV4W+vMExraUl9TBAeHoFyjlnh++Yz6lBhoyXxS\nuFTtxmLtundqh3XzZ9IRuBLaOiQklJ1BPxwHjp0Sox1zZ7Lyf1PRqmlDCbl1U4QciW62SzyryJHE\nw0FvdIDAfvYl2KbnANESd3b4VK0qFXXAKv0wQTaPVLt6FVzYv10/jP6DlTS09QdA9JgIEIEYArz3\n1n/0JHzx8cGZC5fEmzdOHEClcqUJ0R8IHDh+GqtctolSfDFC43p19G4eJKkq0mR7UnTomcETiIqK\nwpHT5wy+nimtIF/WO3TyTLju2Y9vbLe6U5MGWL9oDjkRCWDPXrqK1j36i86XHxvMV2RtWToPWQ0o\njp7Kh7Y+3D2OLdtO4JlvMEOcFrntK6ETW4lQOldaCcjVKBLliwuHLiJd1SaomCxbovD43BE8RiG0\ncLRnNdNcoqEt9bH+/iNAPJ0v6OUD9SnR85I9njxHnbbO8PvmJ47pP714Elbp0+t5rTRj/kDWg1u1\n2VVUtmj6RAw11LhugspSkHB8vJOA7Plj/6ooXOcXhu19ojJNySoo4L5QP3sBAfOuSsweJByb3lvo\nv/maECnm8BcWZS8swGaO4CuxBFWJyZiqqjwqJ45AdHS04OP7Le4GXckJsEi9gnXJCuL/xw51mwqe\nr14LbKJY/pwuEifQrs8gIVUu9n3Bvg8Xr91k8J8xlc2ReKztj6brPADbVji1azwaFszCvHAY3l7e\niz5tJmPRwGFo5ngC9TKbaOanwK9azIAMMEEdc3YhKaXG93tXsPpQeSzsVgWmyISObptR5EcWZJSU\nn4T0gYCJiQmss/LPKiVOwJf1OlZv2YEHT55i7+Hj6Nz2L5QtWQI9O7UFhXz/82eEx8fiGwv3HDom\n9t7WzpuBpmw+xNCTahyJ/21MmcjOczCphRvn56OSlcxZWCBfjS7YsPgO7IYews7L71CviQVO77mA\n9NVbolre2AGiKG9cYPeCi9ZCs3K5EPz+Ng7eCkAdx8J4fHgPbr4IQ5aytdClTQ2EsqGz3cfvw9s/\nDPbO/dGRyfPk53EBJx+Fo1a7Rsgjq1Xgaxw5eh85arPhrNjvCh/FFg38gNNHT+Hm4/cItsiAQqVr\nonmTyrAxjWIO8DD2XY5gjvEhduw7h4YtHZkzAdKYmSLi030cdH+GjKUc0cA+u7zE4FfXcOjmZxTm\n+sThszA2HHYYB849gmCRHUWr1db4sJjcOLpIkADrkeAzC+WRO2eOBJ8by83AoCC8efcRnf4ZhifP\nX8A2d07wM9RHDqQ4ZFI+Azy22Ms379Cu32B2jtAX5LPLi2Nb16FE0cJSsuu/TOKdM+lPQu5sFLtw\nZae7J5wp0l94+/Kd8I33ihMaYvrl3sOlreINi8mGdhJ6nXPdW9QZk6eKcCkgWm5DyJ3VYjmTr7PB\nqND7QuvsBYWSS2/FPA94LAxk78UyyysMw5WfJnyU2aMwTHcpIFBYVb6IgApLBJ93x2Pytd4o/JBr\nCxUOdS0p3j/kFcHu+giu/WPex7O76yohxmJ5xj9eyPL/UZAElCbANoYJVoVLK53PkDIEBQULOUtX\nFT+7WUtUENj+EEOqntrrstplOxvyZsPm7Psib4WawrsPXmrXqWsKVLJqKywkQPSoTg1KJuxZTTPB\nrmBeZOHBKxMaYoq9VzJ22MnMPFtMOTUG4PnLVxBeHsVIpBbvdZm7HSFfXuOHW8xhT9suvRbvm5nz\n8Mp5EG8/rVnMu7Ss/F9T6BM3rEQ0+q48BuH2NQhfPOHWxw748BBv4IAzX25gpQPL7zAU3l+uoQbr\nZWWwYzZkSoM0eWtiWw1Wmcu7cMtfiCk68DFcToYBjaejQS4zvN83C132h6D1hHX4wewVvtzF8T72\nwMm5mHXK61dz6L2WCFilT4f961doSbt21a5hQ1iNOnZHdaf2+MxWZfXv1gWPzh83nl/RKcDPl0L3\nHTkBNRi7/iPHowsLsHh8xybcP3MEedm5K8aWZINAKap3iP8PMX9mywS+sRMpOd4QUyIys8f3QxFx\nmMwOZWqwsq80wGjnyuKKqbSFy6I7UuGW5DmP+ErSlGiFO4cdka98YQT6+yAo0B9vv3GrrGOdUVpk\nzMD8bECaBFZopUf9vp2YI9kUM1zXIh++Xj2O/cwxjelTn8kHw237SVZWeQzrUguWYUEIQHrUG/gv\nyqzri7Oen4FGueMbRO+0QsDMzAz1a1XXim5tKOVj+Lfus7lMlvgXIE8tGtdH+dL2WDBlLCzZiZyU\nkibAnUgT5564dvc+GrLPzoyxIzB+6MCkMxn4U5U4Ept8tiKmt2/9APsMvyML88bpAxeQplJD1JH0\n/RnCyiiP6oWt4pdl74C8prL5l0j25Zx0MoN5ogKpmV96cWYJyjudjS9jwns2f07ZazsxR+aC9Xuv\nYFWLPHDfvovNETWGcxU+ZxKCmJMD7qBmsaK/F/ZWihv9PRvdIQIpIfDg8VPUZqcV/mDj+bK0b+Mq\ntG7WSPaWXv9AQOZEbj14hPN7XVl8sQp/yGEcj1XiSGAW84W9ePN5zGrR47df8P5Xt6DR0NWoObc4\nLnaIARs7eBVLOeGeTLxhKontISgU5ffpVaK5Ls/oho7r3qJJl2EY3KoyChewxeftA1BrXnCieeI9\nsCiJv7vYYvO2M7j1Kj+Os2Et88EdUSrW0bFBLnEF27EVXZAVkWJWgf36NYkMQThs4hVFb7RHwP/7\nD1Rq2hovrv7yg0J7JqlM81cfX7TuNRBPX8YM//J9IGXsS7LFKvuQ0cpKjItFK7Gk4eb7jRp06Irb\n9x7Cgp1fc2bXZnIiCuhU4khMizVk8wnTMPDydIzfVwUL2xSPUxH4ABM6rWXvbTC4QQn2+kR8pvib\n3Mv9qDgsVEd8ktx/+OFEV/DYKxKVC3IXFAz3g26JFPYdL258Zj2ITti0YLD8a937O+/jZAX7vldI\n5nxaJ4FkiqrOXQHX6ahW7aL4fEOnuF8nYo/kw2NkKFEGlWWr2D6dRZuy/fBz7j7UqpxAkXRL4wQs\nzM3RrwsbptTzFBAYiEVrNiGS7dSXpW37DyOArcYa0LUzW21oBr6ruo9zB2TKmMCogSwTvcYjcOKc\nO67cvIM7Dx+JToQPA04fNQylSyp8x8XLYZxvVOJI+LxCt4UTMbD+RLZfpBmuXR2IMc2qwsL/AeYP\nXAA3CMjSZwyas0lotrVETI9nDMaMfIvRCHdRqfdq8V6mmI5Ngi0Rmy3uWcyPfMh6NnYVyrFnZ9Cr\n/zTkmOOEwONL0HH/B1E+ZpgpLivYwFOWQqzqD3dgxY56aFfKAjc3z0Zv17dMKBTHj91FwTYFER7A\nJtI93LH9VGl0blRUZnps/4Lt2y/XAJMwC9Pwk03K90ezgrKT9tKhyah+bA5lCWq2HoFdY1shF7yw\nodN40WG61iisaAxda5EA/3IdMbC3Fi34s2oecjwkNDRJwUnzlmDzjj3IqbCMOTvbH3PcdT2KFymU\nZF56mDAB768+aMqOvOUpWzZrVGPDWFuXLWBzp78MuSec3bjuqnIZ2Y+nZ4QB9dkSWfmyWb7LvYow\nYe/t2N3hMdo+nl0VT6bT8BHirvPaa2KW5r7cPpQ9byvckC/lDRUO9i8loP6quOW2oZ7i8l1ZHkHw\nFw7E21nfSBgzfZCoZ/GdmOW/3dlyX5l88NODMTvdZbbadBM2bV8glOG735nNbkz37TV9Y+3ky4oD\nhW2tiwuIt+RXEB7GyvTd+/uSySd7Z8fmj9vtP+/sG6WRy3gqnZEy6D2Buw8f/fIZkn2Wfn8tU6+5\n3tdXFyrAox30GTFezp1FOtYFs3TaBpXH2uJu+Pun9/gWyrsMZsjGNuZkSKDf85OtlPJjW/xM2YxK\n5sy/9xmS686/s1UpIazU9NmzJag3XrlRQXj36QsE0wywyZVNnNv5yVZvBUSZMZtiYgmFBQYhwswC\nGSwSqES8whJ5E+iLd19/QEibAVmk2JRAMRRrKwEoKrr1IyAQHfr9i1SpUoFvTtS1dNr9MgR2XsXW\nFYuQOVPSQ1LlHUohB/uMUUoegTfsnPRRM+awLQev4fHkGaayIaza1SqjdtVKySvQiHKpxZEYET+N\nVJUcifowc0dSofFfePnqDZo3qqc+RSkouWJpB0z6b3AKSqCsfyLAnUjNVp0QFh6OahXKwrl1S3Ro\n2exP2eh5LIFk/swmfkTAMAhwRxLAep11a1bDkS3rDKNSVAulCMicCF+QcP3oHuTJlVOp/CQMtqOP\nkhIEwvDgyC5sOHKXTclT0ncC7z9+Yr9CO8LCwhyb2NkalIyLAAttAhYaBgUq1xFXtV08sJ2cSDI/\nAtQjUQrcT9ydOhm9TQbirxblftsvo1RRJKxVAjInwudFnFu1hJ1tbq3aQ8o1QyAoOBgrN2/DE8+X\ncNm5Vzygq0o5FiWjQ2vktOGbiSklhwA5EiWpCXYxYVMS3luiZGEkrhUCMifClR/cuBo9h43G7Akj\ntWILKdUMAXaOCovK643uQ0bh2q074jLpMf8OwP/GU7urogV0wpF8vHEMV4MLop6dPzZuOoFiPcag\nBd+TEfYBR3cdwf0X32Fmkxu1mrZAVXbOSbS/J/afvAvrsizkSrEsjEPM6YX3/S1Ru2VsGHnxREQ3\nBOePCU2PREPGc4zfcWXfKYQUqYJ8Ppew8VwIekzogyIWP/Hi3H4cvPoS0Rlzo17LGjBPz0K0/Ck2\niypahspQG4E+I8YhNDQMt9h547wn8uDcMbXpooK1T4D3Oss2dILni1ewZCc7Xju2D1XYhDolFRLQ\n/uJkf2Fj/WLyNdt8zwQP+x7t5S6GfZftoZC99mUnLUZ7xYZxH3481vzXwsjshcQyZvM9IyxFvzsk\nvq+x+TELXZ94yPj3XJiFjech5mU6YvaRRAgX5zkr3FNYt99aYT8Lz6/mJLNLzWoMvviIiAiBHX0q\ntmmPoaMNvr7GXMGfP38KE2YvFBp36iHUb/e32OatevQX3r7/aMxY1FZ3HZhsZ6EVM8QGYmw9Go/v\n3cboyqmxaXB/tgs8G9YcvsRCsL/Gz0e7MZCtDVg7cBJuWVXAQh7i3f02xL3r759hHt9dztKJ22/E\n1w+3LoivQ+oWQlIh498Fst3rbJxKtkJ/2Mrt+PjoOCp57WFxt64CLJT9o2fPxTDwboOrimVSjyQG\ng7796/H0OVZu2gpb1gsZ2ru7aH5YWDhOXbikb1UhexMhwI5NxqGTbuLeoBkLlyEiMkJcTMFPetyw\ncDbNhSXCLcW31eaiJBccFLNjnO0svxsaeyhVwO2YHkL/3Wwne6QQwHaVh0ZGCi/2jhV/WfBex8Ol\nXdh1FeGEX7Tgf3iaeF/85c56CyFMt7gT3maawHscUQHvhTvXPYRvrIwAv6/Cp3fPhfXioVOxu+dj\nD73KPF7WwxGEp2t4+fkF13fhcTWJjO35KO6wj3uqtivqkaQcLd+t3O3fkWKbvnrzTl4gC6su2NhX\nlr+nC/0l8PLNWyFXmWpiG5vkLCRs3rVPfyujZ5brxByJ6A3tq6CgRUzPJPTtQzEmFfaPRkb292vi\nm+YL1mkMzJiIG57vkP7GPnag1ERcafwQ1Yddh6ePI67sZ9G5RtaGLc/MehxSQsY75M0WqyoMb57z\nvk55FMquMK1umj3mXBSaI4nlpB8v7fsOxoGTZxAVHoE182ehQL68csP5Sh0PmiOR89DHCx4ev3Hn\nnuwAuq8omN8OD8+fYD2PXMjAIhxT0gwB3XEkCvWVnSNSsc8MrG5dHJGRPNwK8wfsOz04JBI5imSA\npVUlcajr+JG9CDoZghqDK6NqdfbBEUbh4IGi4lDXbMeSYj6pIeN9w0Vx9o8F0mfOJL4x4arlEVwi\nYwI5ysToVecJsB922HPoGHLnzoW182agab068WzmoVGyWWeNd4/e6AeBtVt32NhBbwAAJypJREFU\niiuxVm3ZBl+fb5g5biR6dmpLYWK00Hw66UhMC5dEazYfsv+DAAe2xltm5Pt941B+4HlsdD+Lwpnz\no3mXPFi5biVuMnCLyuWDSV4z0blMmbhOPGSqYQm+okuZkPFxLZDLNgd7cxonHvihUo2YLxrh/UUs\nfRjB5k3i5OhKdwlwJzJw9GTRQNflC1CHxU36NbFJWfh+84dNdutfH9F7HSXAV2EdPHEG/djqO56y\nsh8CXTu0wbghA3TUYsM3Swcm2+WR5eNos0Oj/mGHRuHkRDSfsBkXb9zEGZcpsBu4UzwsqmkxHq7d\nFOUbxsZGMqmFavnSsnu2aNiav7LUqC6KiUNlsSHjBR4y/hw8PK5iw39OqMkOtQI+iiHjA7n8L6lg\n084oAxNMadMcC07dhSdbotyz4nDcZyHx+WR7TB/pl0z0VmcIyJzIahdXrF3wvwSdCDf2k/cXcWmo\nzhhOhiRJgJ+7Ur1Fe7TpGeM0Pty7At/Ht+CydF6S+eihmglof04nSNjdtWT8EPHcqMjPwtbhLeIm\n0Xm49/rjhctfI+JM9rsWEwpeIbT7u9gJ+aGH38jl/hQy/tzXe4JiiHlZRr/rG2LDyscu/W3dXdRn\nM/ygOKEvk1P3K022K0eYT6z3HzlR/Oyw4Y8kM7P9JMIZ98tJytBD7RM4e+mq0KJrHyFPuepCuoIO\nwjrXXcKDR0+1bxhZIBLQ+ei/QT4f8IUdMGXBDpOxyZZZPsyltH+VEDI+wTLDvuOd1zcxDHweFmpe\nNsyWoKyablL0X+XADhg1CbKeSJ8uHZTLTNI6QYAvyxZD6LPhyXcfvfDftP8hX57ccCheFOPYjvTy\npe11wk4yIoaAzjsSaig23WNTQMTA99NQSprA42eeKFW7Mf43YRTGsL1IlPSTwL/jp2HZ+s1y4xuz\nRRIHN62COTsamZLuEdCJORLdw0IW6SMBvhGNOxGemtWrK6kKXiz+UvmGLSXJkpD6Cbx4/QbspEfR\niZRgvY9PD6/D2+MmTmzfSE5E/fiTrUEbIzXJNpYyEoGkCOw9elJ8vIlNvNqXKJqUqPxZ+nTp0KUN\nORI5EC1crNmyA5/YHpCoqCis3bYTlmnTYuJ//4rtkmREXhZP7+bF2wgCi3IRm0wiIpA6eyFULFdI\n69G5vz27gB1bDuNVqACTECB7uTro0NkJ+a1i9svJbDaIV5or0n0CNNmedBv5fvMTDp86K5jlLSY4\nDxyetDA91QkCgUFBAusNCrsOHZMvqMleqpJQrXk74fOXr9JsDLgl1EcqtoySL6X85a/uFOFuQGyk\nDGmlqVAqUri9eqDcplJ16wpsBWjse3th8x1vFerSjaKgG2aQFUkRIEeSOJ3zV67Lv4hqt+okBAfz\nADmUdJnA8bMXRKcv+1zzV8nOQ7FiLLRRG6QWSs85z0IohbJQSqFCWMBXwX31fzFf2nUXCtr4yv54\nggUG5Y6tyyLhkV/c5/HDRZdYh1JbOPFVW05OEaDqrmmOxCD6lcZbics3bouVP7FzM07t2ARLy9h9\nRBKRfPnqi17Dx0qUJrHkEuCbCMfNmo9GHbujWZfeqFmpPA66rMUhdrwxD2mSI7ssPJHyGrJYpIOF\nqQWsrCxgbpUNtfrNx5057YDzw3HQ4xOOzx2IQUvdFE41jcK1NRPRedgqvHp/BeP7zcHFu5cw6+/6\nKGuSCjX/noqb/nE7xYLfXcGCYW3EZyal62Lw3G14HcZ9RULpM7aOXsjOnh2MZ1uHomTmuM9jnppd\nce7sfJbJHauPPUgos/7eU51PopLURUD2y01d5etrue7Xbgrm+UoI7Msp2VXw/uIjUEj5ZONLMuOz\nF68EtgBC/GvZvZ8AmwKCY1tnYciE6UJ4uEIw1CRLSeJhbI+k5JKbvwt5nRZ//ddefU04OzQPm6Ro\nIdyQDXWFPhK6w1TA0KNCyJ31sUNOEAp1GS0sm9Y/5n3L9TF7xVig1n9gJuZftG2P4DJneMzzvjsT\n3ksWcC+2l3Tld5vEO++FyTAXwMr/kYiEPt6myXb9/Q1g9JaPZHsLCrMAjPs3rEw2Cx4aZeOi2cnO\nTxkTJsCGGFGCraCLZhPoPKUyNcXONUvRoWWzhDOo+m6WXCwyRWrcCk+Nqj2nAIt74+Ctr6jkaIPA\nB6exmR2Gt7gnj3W0V9Rcb855uI2qI15XMH+HqmOu41VYT5QCmyU3KY6NT/aiRzE+qd8W2V/tRJMX\nn/iT3yb0Q9/ewT52pMUQh5xiWb//kxlFWrKYgAHhvz/S4zs0tKXHjWespl+4egOFqjri5p37qFut\nqtLDWcbKTZ315kOEpR2bIWuJCmBh+WFdqpLoRFbMmQ6vB9fg/+yO5pwIr2gkO1oX0SiUwQxp7RuC\n9QLwv13sfCGWbu3kQ0+j0MI+o/ie/9OiSdyJiZkysi96fMF3PrrFwjUt/bIb1nc3Y8a44ejmWBZN\n1n5iBxiZs6DiQdj7dw6YmJjE/P21AREZeIw+wNePu5mEUhh+BMQ417jBs4Tk9Ose9Uj0q72M3trr\nt++hsXNPlCxcCJNHDMHgXl1TxMT/+w9s3XsQ//bulqJyjC0zP6p48brNYENUYtX5LvSHLJy7c9tW\nKGAnHt6ALJkyon/XTuARljWdAu9fhBtzJLMduC1Z0WZJS0wdehwPZpTA/sVfUIq9L8CehMYaFhYZ\n8+WuaCfvfwivDiB1odbi7eZ9h6Be15EonXsI/vPit0yRvWJv9LEORjpWUlTOrEjFjgRnCwCw7dZb\nuHaOiT7OJX8G+sI3rTVs/O9h4PnvTH8ZZpXhJHIkhtOWBl8T/uU1ffFyZGB7Py4dZPsNlJxYTwjQ\nj4BAbD9wmBxJQnB+uef91Yev8hTvzl2xFovXbES2bDFRkyPYEFbdmtWwfsEs8UTCX7Kq9a21OTtf\nQjGFvcH8QZPYkFQLVMjPI4ADpVp2Aoa0wqThvjjMQq66NiujmCPR6+duLFAsasPN7zzqZeb7P6Kw\n9+DQWHkL1Pp3BmrFyx2Ejl2ssW9xc6zp6Yt+9txdROHYQHu09GqOCbnvitLDG0rTH69oHX5DjkSH\nG4dMiyPAv8DKNWqJZ89fgIfLUIUT4aXny5sH14/ti1NEVwkSmDR3MaYvWBrvWcEC+fDy2rl497Tx\nxv3yTmyyegK+GTFVwEccHjJFnKfou2dB7Jc/8yl2NbCybiYMdD0I1F2I+gV5BPE/J8us2ZnQbjy4\ndAP5SmfC811z0O6QD+DwFd5s5VaG2MP44kpKj5ZTVgGurdHfwRoPVx9Er4o58NOezce4rscMLlh6\nBTqKEczjcun7FTkSHW1BtpIIPt++IWMG2WnyOmqohswKCAwSnUjzRvXgsmSehrQapxq+w3z8/xbi\nsaenHMCx0+eQOk0a7Fu3XH6vvEPc0I38pkYvTJGDnVsE1zno6RqnuETd3lg3YTh6OxaOuwlrNBvY\nhy0JnofOvZvBJvaJqRmfD/k1pWc3Yga98jbqhREOG/Ffy6r4j4vV/Rdzp3XFqElT4TCvIcImVvs1\nM8wKtkLQy/MY2acFVvb/CyvlErXRqu4tHDj/D7osLYld/9bWShBYuTkqvKCgjSqEqcqi2PnizJH4\nMUdihZ37D4tFG2PQRrZrHZdv3sHs5avx8Kkn7p46iGKFC6oMNV9ddPP+Q9StXkVlZepTQUHBwbh4\n/RZ+/oyWm71m63Ycc7sAxxpVYJ4mLkjif/17oR4bvtLX9H77YNg5e+BSwHnUUCpMSRh8P31BuFkG\neQTyqKgwFtLFlA3jJfVbPAq+797Bl/kkMxb2JRs7pTODaRgurpmBZ2UGo29lmTvTV6JxdpMjiWOh\ns1fGHP23bhtnXLh8DenY+dundmxE9YrlVdpOnq/eoIlzL7y6rv0hGpVWTEJh3/z84di2izhJriie\nip1pvXvNErRpFhMAU/GZPl5H+z/HgUOHsbrHGFyZdhYhE+voYzV02mZyJDrdPDHGGasj4b2FXOWq\nw7FaFWxbsVBl8yKKTc6Hcfz8vyN77KSx4jN9vv746TMaduohDo+mTpU6war4snpntEqPfetXoHB+\nO7lMBnbPKj0f3jGMFOqxAZYOvdmw1GjcPfQ/lFWqN6JfDPhaCLYaWeOJHInGkSuv0BgdSWRkJHhv\n5O6jp7h0YLvRHmTEh/bWb9/NltlG4OnLV9hz5AR4uJE/pgRkeE/Djg2v5M+bm/3lRYG8tqhTvTLy\n5srFhlDTw4Kd9WHGZCgRAWUJJDXAp2xZJE8EVEKAr9A6ftYdV1gcrV1scledp+H9/PkTfC8J/3L+\nzpYCh4TGTLKqpCIpLOQb6zG06TMIP9irssnUPA3KliwubtgsX7oUytmXFPd3aGNPh7K2k3zKCfBF\n2prsmJAjSXmbUQkqJMAnf5uyOYtL126KpVYuW1qFpf9e1IvXb1GrVSf4+Pj+/lDH7pR1KIWze7Yi\nM9voR4kIJEVAk06E20GOJKnWoGcaJ9Cia1/cfvgYq+bOQOVypWFnm1utNhw8cUbuRMwszNH5rxZq\n1adM4Tz0BnekPDJu6tSp4chWlqVLJ23/gzJ6SJYIpJQAOZKUEqT8KiNw4py7uEJr3uRx6N+ts8rK\nTaigCLZ57cLVmxg7c674OD1bZh3geV+MmZSQPN0jAkQgcQKaD4KTuC30xIgJ7DhwBE3ZKiOeqlcs\np1YSPNRK48490ahDV1FP/nx25ETUSpwKN3QC1CMx9BbWk/pdYZsOefJ5chvWWWPiI6nL9H6jJuL8\npZhIsDw+FJ9o58NIlIgAEUgeAXIkyeNGuVREYOOOPeLO9U1siet/A/qo3Yls2XMAW3fHxNbq1aUj\nZo0Zjp2HjqmoNlQMETBOArSPRA/a3VD3kdy69xCVGv8ltsCoQf0xZ+IotbbGWdYLqc92cvOUhfV6\nfB/fop6IWolT4cZCgHokxtLSOljP42cviFa9vHEeBdk8hboSnxNp0a0PzrpfEVXUrFoJ7gd2kBNR\nF3Aq1+gI0GS70TW5blR4OwtEOWXeYgzu3V3tTsQyXwm5E3Fgm/QUncj7j58weNxU3YBCVhABPSVA\njkRPG06fzb7n8RjDp8xCoYL5sXTmJLVVhfdE0hW0l5c/iZ2oeP/s0Xg9Eb6Lnh/KRIkIEIHkE6Ch\nreSzo5zJILBikysGjYlxHk6N1LtXpPPAYRBYCBSezrOhrDrVKv9mMd/wuGbu9N/u0w0iQASkEyBH\nIp0VSaaQwKkLl0Qn0r9bF4wb0h+5cqjnPIaQkFB0GTQcB4+fEi329rgJm+wxR8KmsAqUnQgQgQQI\n0KqtBKDo2i1DWLX14PFTNOzYHV/5ud9fXqsNMXci6fLHndyXzy4v3ty8kKi+ryzG1sGTbuj7d8dE\nZegBESACSROgOZKk+dBTFRHoxIaZuBNxbttKRSX+XsyvTmRI3554zVaEJZV82eFO2/YfSkqEnhEB\nIvAHAtQj+QMgXXis7z2S12/fo2ithvivby/MnjBSbUjTFyqN4MBAsfwX7MTDQvnzqU0XFUwEiEAc\nAeqRxLGgKxUTuPvwEf7q0R9lG7WEbc6c+Ld3TGwrFasBP/yJO1uZE7nFznUnJ6JqylQeEUicADmS\nxNnQkxQSmLdqPQ4dP43GdWriIjvlUB2T69yJZCtRQW5ph1YtUKGMg/z9ny4Cg4JYiJbbfxKj50SA\nCCRBgBxJEnDoUfIJ8OGsk2yVllOTBti1Ziny5MqZ/MISyanoRKaOYkt92ST+ztVLEpFO+PbLN+/w\nz5jJCT+ku0SACEgiQHMkkjBpV0jf5kh4NN0CVeqK0K4c2oXcOXOoHKCiE5k2ejgmDh+ULB38bHh+\npC0/PIoSESACySNA+0iSx41yJUKAHxg1a8kqvHv3AesXzVG5E3n24hUc6jdHZFi4aMH0Mf9hwrB/\nErHmz7fNzMzIifwZE0kQgSQJ0NBWknjoobIE1rruwtT5S2DLdozXrlpR2exJyoeHh6N4jQYqcyJc\nWRQLj/L9R0CSeukhESACSROgHknSfOipEgR43KqT592RMXMmvL99SYmcfxblZRer2UguqKpNjXyj\nZO//xuGe2xF52XRBBIiAcgTIkSjHi6QTIMCHs4ZNmolrd+6BB2TcvHReAlLJv3Xt1l1MZr2ct+/e\ni4Xs37Q6+YX9kpOHr18wZdwvd+ktESACyhCgyXZlaGlJVtcn289fuQ7H1p1RIH8+zBr7Hzq0bKYS\nUry3cOKcO8bOmCsvb+/GlWjTrLH8PV0QASKgfQLUI9F+G+i1BXyF1uot24FUqXD18G6VBUd8/vI1\nyjgqOCR2prr7wZ2oVUW18y56DZ+MJwI6QoAm23WkIfTRDO5Eeg4bg93szHMXNpyligi7fC5kxJT/\noVj1+nIkzRvVQ8DLB2pxIg8fP0Pzv3vLddEFESACyhOgHonyzCgHIyBzIi679sFl2Xx0bZfyYIzc\nifQfPQlrXbbJGXMnsoktI7ZKn15+T5UXWbNkQtN6MXteVFkulUUEjIkAzZHoQWvr2hyJppxIhbIO\nOLtnKzJYWelBK5GJRMB4CVCPxHjbPtk137LnAFx27oXL8gVq6YnUrl4Fx103wNIybbJtpIxEgAho\njgD1SDTHOtmadKlHsvvwcXToMwipTE3x08sz2XXiGd++/4iJcxfj6YsXuHPfQyxL007kxes32LB9\nr1rD26cIEmUmAnpAgHoketBIumTiiGn/E82ZP2lMisziTqRmq474+PGTvBxNOxGu+OfPaISGhclt\noAsiQASUJ0A9EuWZaTyHrvRI3C5eQYN2f2PW+FEY+2//ZHNIyInUqVEVx7aup+GsZFOljERAewSo\nR6I99nqjeRdb3jts8kx8/uyN+rVrYFjfHsmy/dHT53Dq3h9vP3yE8POnvIwTOzejETuzxITtFaFE\nBIiA/hGgfST612Yat3j7gcOiE5nDhrOObFkHCwtzpW04fvYCardxxpu37+ROpHundtiweA4a162l\nNSfixZyjy+79SteHMhABIhBHgHokcSzoKgECZ9yv4KjbBfTt5oxR//RNQCLpW37srA/+RT180gy5\nYHZ29sfs8SPRo2Nb+T1tXXzy/ort+w+jW/vW2jKB9BIBvSdAcyR60ITamiPhTqRZ196oU6USDrus\nVbonMn/leoycOise4azWWeH7+Fa8e/SGCBAB/SZAPRL9bj+1WZ8SJxIUHIzR0+di5aatcvvy5s2D\nGaOGo1rFsvJ7dEEEiIBhECBHYhjtqNJayJxI3aqVWU9kDczNpc2J8NVYjz1fYPqi5bhx+57cpjYt\nmmDR1PGwzZ1Lfk9XLvihVi9ev0VFtoueEhEgAskjQI4kedwMNldynci5y9fQpEsvRITG35PB51bW\nzJ2us7w8nnmy3tMcXD26R2dtJMOIgK4ToDkSXW8hZp+m5kiS40T2Hj2JIROn49Onz/FI9unaGWMH\n9UPePLmQOnXqeM906Q0/vtef9UpysAUAlIgAEUgeAeqRJI+bQeXiS3Pdr97EovWbIGU4i5+IuHyj\nK8LYl/D4WfPiWLAzSf7t1Q0lixZG3787xt3X4Ss+bEdORIcbiEzTCwLUI9GDZlJnj+SD1yfkLVdD\npMDnMratWJjonEhwcAjCmRNZst4F09jRt4rJzs4WO1YsQtWK5RRv6/x1VFSUGCJFXWHqdR4AGUgE\nVECANiSqAKK+FnHM7bzcibjtdcXe9SsSdSLLNmxB+kIOyFqs3G9OpGXThnh7013vnAhvtyvsPPgm\nnXvqaxOS3URAJwjQ0JZONINmjeDniUxbsAxTY3sV3InUq1ntNyMCg4IwZsY8bN1/CIFsHkExObdt\nhZaN64u36ieQV1FWl69LFimE6aOH67KJZBsR0HkC5Ei00kTBcJs/Dptf/YQAO4ybOwIlrdQfZ8r3\nmx/uejzBWtcd2HfkBKpXroB2LZrKnQg/ofDKrTt4/OwFC+3+CkvWboxHx7FWNaQySYXezh3QoaXC\neerxpPTrjXXWLKjLzj+hRASIQPIJkCNJPrtk5ozC9flOaHCqC0LO9IDPjv6wKzwP771HwTaZJUrJ\nxs/dqPlXJ3z58hUmbBXVVjaf0aVtS3lW+amH7MCqhNI/Pbti+f+mJPSI7hEBImDkBGiyXdMfgLAH\naGDXGtUP38SUylmBsCdoY+eEUifuYmq5DAlaI3WynTuDweOm4ti5C+C9C5745LiP7zdER8VF201Q\nicLNfHZ5sWzmZNjmygGrdOnEJ3a2uXV6Ga+C+UpdXmcbJxev34ydq+MvHlCqEBImAkZOgHokGv4A\nRHq9gBsKY3KJLDGaLezQxsEMqz3eMEdSWm7Nik2uCAgMgmVaC/k9xYtNrOfQd9QExVuis4hm4dlT\nmZnJo+n+ZI5EarIvUQzObVpiSO/uSsfVkqpD1+Sys9hfjtWr6ppZZA8R0CsC5Eg03FxRIX6ixjQK\nesPZ9f/bOxeoqKo1jv+tGQVzSHwMhILmA02DZWJ6b5GWaWYZFrb0ouA7H6mllprJsnt9lKbrJnrV\n1DL1qpmazzRUzBQVXMhLRRGBKwIaPkAZYIAZ3XefM8wwA8Pwfsyc76w1sM/Zj29/v73nfHP23md/\nodkaoyvA2i3bkcpf8mvdosjgmMQCh4+fhLbAvJF4ojEtS8jaunUrrFoUiJG+PiVKkvZph/ZumMQ/\ndBABIlB1AmRIqs6uajk1wpCTAkxenF3cyUqwJkbH1dPBhjP90JbhAg/s27ze+JTCRIAIEIF6I0Dv\nkdQxenvnTlxiJBLT1TrJ2ruIuaTFF3+rzan2OlbSisQJXhv/tXK1FdWYqkoEGh4BMiR13SYur2KH\ntx38f47VSb4diRXogeG9lHVdE5LHCWj4m+05/I19OogAEag6AVq1VXV2Vc+puoo5b7yP/DGfQrV1\nB3qu3Y9P+jiVWZ5+aItlJJeZhiKIABEgAvVFgAxJfZGHFqosFeQKR9iVM1OlNyTCflb6o5BPqKty\ncuH4rAOe4psl0lF1Anl5agh7bjk4KKpeCOU0EFDn5/MNPQvFvmm4SIEqExA2SVXxp+bUiFA0b27+\nFYEqF15DGcu5hdWQFCrGDAEZFI6OZq6XfWn4kHcMkYk3b2L/kWMI8B2KZkXvehgiKVApAsdPhyLt\nzl8w5lupAiixCYGwyCiER8di8ijr2AHapPIN8CTuegKO8n3xnrCKvwtW12rQE0ldE68heYeP/wGf\ngIlIjw2Di3PZw2I1JM6mi5k6dyHORkTg8qnfbVrPulLu66D1WLZ2A7ITYupKpE3L2b73IAKmzYIq\n+XKD/dFIYyI23QVJOSJABIhA7RMgQ1L7jEkCESACRMCmCTz9T37YtIY2qtxjPjksk8nx9huvlelD\nxEZVr3G1hMlhtzYueLW3V42XLcUChYl2Jd9V2ZxrAinyqK7OGr6wxs7OHoP7922w+93RHEl1W5ny\nEwEiQAQkToCGtiTeAUh9IkAEiEB1CZAhqS7B+sifFYuvx4zHrM8mYNqaUBRttlIfNWnQMp9kJeOX\nJXOxMz67RD0Fx2Kfwn/qdIyaugJxKt2W+7pEluKAu2c3I2DMNEzhn61RGSXKtd3TwtsXeZ8bAs9e\ngzFj5SGkaY11rQYzyfblhzi65CMI74h1GRaIU7eMv8VWyJP7raDDmgiok9kcZSfmtzeZ1zqHrfdy\nZ103RFiTBnVS18KUP9mCKSMYlM+zZZH3jWRqWNiK/gwDNrM8fjVl52QGp+XslpjCUhxjudd2iOWF\nZD5h7G6IGN6emG1Utq0Gk9nHyo4scO9J9tuGr0S9u6/W97lqMJNwXw5bPJT5bwljt1Oi2b8HdGEY\nvVvsj4xZJ0/BARIdVkQg6+QifuObxeI1/GbGj+zwIP7F/pBFqXXnVqRK7VdVk8B8+Q3QxJCoY9gA\nZQf2VXiRcVHHiWkWRj5izFIcU7Mdvi8wLDhRVG8NOznbk2H20drXo54lZId/z+YHpxlqEbaYG+Je\nQUwkWA1m0u3LOSwq9JqBZ/rO0Qy+23WGxEp50tCW8RO6FYRT46IBD3c8J9P5eJc1Fbb1UCHX+MnY\nCvSokypq85AN42ErvkljkWOxASUci53ijsUsxQGPUZDNy3JqXlR1GVy6eAJnbuBBnShTf0IUfSbj\n60FtDBVobMf73qAe4P49q8VMun35Gbzk3VXkKQwZLp15DuuXfgB7K+ZJhsTw9bCOgFxwXvKwuK72\n7XtiALjXxQSdw6ziGAqZI2DJsZilOKgS8dslDSa5PGtUbC4PN4aRaxmjOFsNpmHXihR8P6KHqGB1\nmEm9Lwvzbf/w8cM6PMHUBT9AmHGzVp5kSKzs+96ohAMsbXocd93L0NO1YW7m1uDwWnIsZilO0RIv\nohGuP3hUQqVClPZHWSKJzZxqETzVH1k/nMBkj6L+Vg1mUu/LSu/x2HfxBtJ+ngucXYXQW9zjqZXy\nJENiZV9yexcnINX45iVYFnc4K2j/zYo0pSXHYpbigFbo4inD6RKGHM0VaFoRwTaQJn7jNGx4KQib\n3msvapPPV25Vhxn1ZV2naNP/TYzFU2B8uNpqeRpmfChgHQQyw1gPPlm8/lquWN/ELXzV0egDfK0H\nHaUIaHQT6d8VsdLFF02aLz6vO03ZY7RYwVIcX6gV/KW40CFJzHmPLVN2ZvP0k/alhNvWhfRD87nu\ni1hMSgpLvBbPTm+Yx5aLuleDmWT7sobdijzH4tKFdYOMFSbyPsjZ/iWeWSdPWrUlNp51/ckM/5F3\nvDEsaPVc1t1rAYvKphVbJVvwcWYc27RggrhU9ZUp37ILdwuLk2THsc+9OrPpq//Dxnj9nQWF677C\nYgJLcXzlVsjikaw9L2/llCFs4OKjRUs2i4u2xVBh4gGRo7CU2vBx+pLpDCrXuBrMpNmXc3QrADnP\n90aPY36zV7MrmRXsn+X0wfriSVukWOuQgzYH3C8WHB2bWasG9VxvS47FLMUBBaos5EKBFjScaNSG\n1WAm0b6s5Xu88R3z+D5a5oalrYsnGRKjrwIFiQARIAJEoPIEaLK98swoBxEgAkSACBgRIENiBIOC\nRIAIEAEiUHkCZEgqz4xyEAEiQASIgBEBMiRGMChIBIgAESAClSdAhqTyzCgHESACRIAIGBEgQ2IE\ng4JEgAgQASJQeQJkSCrPjHIQASJABIiAEQEyJEYwKEgEiAARIAKVJ2DulcrKl0I5iIBNEdAi7o9j\nSMo19WVioiLfqNWt75tw++sCTt60R//3+oj+OUzS0AkRkAgBerNdIg1NalaGwEOscuqNWXwDC0vH\nvEMR8A99Cx4rshCSmIQ3FTpnY5by1EWcJul3TJyyG4PWBGFkV3IvUBfMpS6Dnkik3gNIfzMEmmNs\ndAg+EO2IHE3yohHQbwYyZ3yHw5NfhkYteCCRw9GlJexct+F3jxy8aN8wjIigjFyThW2XTuMlDX29\nzTQuXaoFAtTTagEqFWn9BJq7uEHvVBf5WXDgTq00She4tH7ORLlCuRyNDS4SH+Lcr8egft4LbnlR\n+OXPK2B2HeEzYSQ8tQnYvesYLmU8hKLzQEwb8xovs/h4lBSGX/afwv/y+ZBZRy+8PeQtPG/pCUeV\nit/27cH5G3eQp24Or3eHI6B/Zzy5l4Cdm3aJBV86tgcH7vXEoP4eohtXSzJyb8Ug5FoBerzQHJEH\n9+FihhrKzq/Db1R/OOnvEmXILNaCQlIlQENbUm150rviBPJjMazdMFwP3IUrM3qZ5Lu8xheeS+4g\nNPE8vBGFgZ2Gix4rTRKZOXH8aC3uLhnM934FUg4vQvuJW0qkcsfB6MPwcTFYqeL4/KuY1s5HdNEK\nV8HRmeCkFfCcswWRQ9Ig7xdYnNZtJu5HfIKccmTo9Igx5OvBDWeM4O/edRziwwPRRXutTJmxn/c1\n5KOANAnQqi1ptjtpXUME5E2e4SW15Z7b+SGX8ZAwxOWOnSHhYBlXcdTfTYgBvGfiOp9HYSkn8Y2r\nHFnBl/FAuH7vDN6fuJVbgfGIjr/O8yTrXK8iAUPnH4BaSFPiUF+9IBqR+T+HgV3kn/TzWOfZGJdW\nbkZ8ez9kH5op5lh+iMdxI9KyAjLkTVrrpPB6pqYnIzojDkc/8uBG6ics2nMDlmReybewKKFE3enU\nNgmQIbHNdiWt6olANpfrOecr+HkoecgO3sP9xJosWzAW7sJQlZ0Sbu2e5jfoCNxQMSQd3S/+8v/0\nc3/0UDyGSpUPp74fioYBx47gktmbNF8yxo/dW7chJCoemVpnTD0cjvSob+DG3bXKmirEeCa3F/9X\nTEYeT+uEg2umo604lGWHwfMWwpe7gN0ZfA4qWJYpCqI/kiVAhkSyTU+K1xYBR4fi4ShZU/FZhYsS\nJuhNDyFGUyDcwIGg0f3RqE03OHTqBnmb3vj4Er9xs+vQlM4Ge8938OPbbZEUvB4DB7+Dlu06oOuo\nxTiT+gQO+vkMsVRd5orLaAtn43kZRVcM8+a1vF0AWYVlioLpj8QImHQ7ielO6hKBWiFwv6DixWqg\nMyRTv92EiR4KE8NRyFdddTO3GkzmivFbz8D3dgJiwi4gJOQIlu7bD7+z+yGLiMe7JcRXRMbdojys\n2AbyK2pkpDzmbjgBWTkyP3TTG8wSwulUEgToiUQSzUxKNlQCz7Z0Fasmd+6Onj17o08f4eOOuHXj\n0Pe7WH4DL13zyxsD0Mh5LJKVnfH6sAAsWb8LGdvGiQmv3OH+lw1PMTqrUDEZTXn+SJyOzTQI1MYf\nx+xUDbr79EJKeTINuSggRQJkSKTY6qRzgyHg9q4/xvJ5iNWjX8HSX/9AVNQ5rJs6FBOC1eg3yMNk\nibC+0m078UlwdgbTZ2zExaRbuB51Ams27uDR7hjg3gL2zm4QVl19sXQ1TsRnojIy5vmMwqazl/mb\n/dsxot9CUeRnA7uhPJn6utF/aRIw83tHmiBIayJgiYDwzkerJqVTyBWt+MU0Q0R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"text/plain": [ "" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Image('./res/fig8_5.png')" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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EjJYAOy+jbVo2zJQJnDx/CZ8pYgQnJmCsBHjYUA9aVoSHWrlpG9QuUt564DAS\nUBQBJUms7P9GUTY27j2oJLuc56OPD16/eatKxuu1N56/eKVK5pHHM7x//5EiXSkMdUXa3XR9KEfY\n+PiZoi8oTBdv3Ibrk6TwIP2UpnuPnuDj5y+4RVHalaagwEB89PFVml0r+boNGYVtS+chf55cWimf\nC2UCuibA4aF03QJUv5ldNpQtWUyV81q7ZTsyZkiP+PGVdZ6F83r58jWyqIif+PGTDz5S9As1MsJ5\nBdBWHGpk3Ml5i6SvMiLMUAaKzKE0CXs2LZmLlg3rKhWJ9XyeXi9gR6GwlD7cxEQBi0y5EUhRJuxV\nRL4Qcf1EEkyVpkC6d0WKC5l45vEpjmJ8RaqJkE3iQSUu9Iqp/Wrbxix+fPx48UiR/brOxD0vXbcA\n1S8C8q6ZO02V89rgvAcPzx6BpcLYhu9oS/hspSrj6SXlwU1F8NTm3f/BvZPKe2suFDx19tJV+O/f\ntYrJrti4lQLZXsXqOVMVy4ybMU8OKTVhSD/FMl0GjkARh3zo1q6VYpnaTp3wd5tWqFe9imKZglXq\nIJeKYLWKC1aRMWP6dCpyxyxru6aN8I2c10gV4aGa/90HGdOlRfmSxRVXOnHeItSvVhUOuXMqlhk8\nfjL+6doR6dMof+gQMmP696F4oUoD837DmGmzMGnoAMV6vaSHu9lLV6qSEQGQdx48jFH/9FRcz5lL\nl/GMgiZvoYcopWnSvMX0MKzMcSstU5v52Hlpky6XzQSMmICIeyliG6qJn+iQJzeqlCuF9s2VBy12\nOX4SbZo0wF8VyiimuXzTv/TQ0QJ5cmZXLDNm5jz07doeSa2tFcn40pD15AVLMKinijiFFO1+z+Gj\nqmSOUlxDj+deqmTsbFPh0InTqtomd3Z7jm2oqOU5ExNgAlojkK9iTdyl94KcmICxElD2wsRYrWe7\nmICREhjSs6tB7c1kpM3AZmmRAA8bahEuF80EdEWgbdOGuqqa62UCcUKAe15xgpkrYQJMgAkwgdgk\nwM4rNmlyWUxATwj0Hj4Oz2iXY05MwFgJsPMy1pZlu0yawOevX+Wdpk0aAhtv1AT4nZdRNy8bZ6oE\n1KyZM1VGbLdhE+Cel2G3H2vPBJgAEzBJAtzz0oNmF7ENs5eohNQUzkdpCqKQOakdisMqYUJFIu8+\nfMQPCmVjm195ZIM3FNdQpLiS2X/kuCJbRKYQ3Zau36xKRmwUMnr6HFUyBw4fV9U2Qrdb9x+gsGN+\nxfXEdsYd+w+icplSsEmeLLaLDi3v+p17ePLMExnTpw09F93Bhm3O8Hr1ikIwKX9uPk6LdNOnSYOX\n3t7RFR96/REtBl63baeqRcp+FMh43bZdtEg5SWg5UR34UsxLfxqeFfUoTQ9ILxEiS42MWKR88uwF\nVTLriPPRk2dRvWI5paphLclkTJtGcX5dZ2TnpesWoPqtKErBoc2rkT1LJsXapHMsiVtH9qkKD+VA\nC1dvHt2nuA7xBdy82z+qZOTwUMsoPNQW7YaHGks7BQeSM56oKjzUcBRxdEC3ti0VM6jt1JkiNbRU\nFR6qAIWHypsju+I6tJFx5NTZFJg3q1ad10P6En7q7iFHclBjg3BGae1s1YhQHacoEPMPlTKn8ezF\nS5Uyp1RF2BCFi0gWStMDt8dyVjUywnmJpEqGHJdamQcUfNqPgncbSmLnpQctZZsqBdLZpVb1Bx2f\nApuKLwClsQ0TWFggKT2Fq/nSePvuA+ll+4uMPx4d24M1+y8jyCYHarRsgor2KUIpivLT2v4qE3o5\n0gNZJkI9kWYNPZnONrUc21CNPWnt7Eg3dZzTBreLmnoEM3MK8KrLdO3QbsX3Rkz1bF6vlhweaoSK\n2IbxzOKpDg8l4gEO691dVXioyzduYePCWap6XjtdDssyasJD2TqUlGWUMhQ9r9ptOquSEc5rwuwF\nqmREj0s4O8FAacqfKyeHh1IKi/MZHoHby7ogZ6sDyFatJkoke4xKpYti2sXXhmeIkWtsZWWpaosZ\nI8chm/fjzV1smTEZ/QaMwqIdZ/A+0BSsNl4blQ88Gy8DtkwxgY84OuoiJh9ehk7VK6Nh76m4P6EM\n9t9Uvj+W4qo44x8RELsIBAUF/VEZRiXsexNN89fHTv+0qFu7MJ5O7oiUNeeBH7sMt5V52NBw204H\nmidB0S6JUK5qPfhP6IIapQogZ8f1OMl3kQ7aIuoqyzZowZtRhkPk9+gknOMNRMDI9hC3a+UL9niS\nYRY8fCXYWSvfBDVckXyoYwLc89JxAxhW9eYoO/ECrq/rgMDr21CqajWkTJ8Ny669MywzTEDbWWOH\n0yxA7e/pZSgordLkA35MQ4XuE7H12EW4eWfFjldrUJwdl6E0YQQ92XlFQMInfksg0BNr5+9E2urN\nMXHxFkivn+DenPr4++9t8PmtEF/QBYGalSsgWVJl+1LpQr84rzNdFXy77ozeeQOwZbATchQqALN2\nq8GPXXHeErFWITuvWENpCgX5Ys/EUZh3KGSbcPHG2w/IZA0LUzCfbTRYAs+PbcBmz7Ro0XscnK88\nQpDrPvQ4+D8sv82PXYbaqOy8DLXldKG3eV4sdxmHA21rwMwuG/3kRN5+/jg4uxGsdKEP1/lbAs3/\n7oMn7s9+e93ULnzz3In29Zfhob/0k+m2ifiF7U9ADOgDt5wBNZY+qJqicGtc92qMt94fIFlZI7WN\nsmgE+qC7KemQJUMGJEjA/eGQNrdvtxQbLjRGrsyrQ06hyaDlaGmfKPQzHxgWAXZeetBeIjzU/JXr\nYa8iwoYIDzV/1TpYKg0PRVOnfT5+onrWKbZYRNi4T1vJq5ERETYO0+JINTIrNv6LW3fvo7ADvVRX\nmOaR7QEi3FWqlAolgBUUSups7pyynFIhERrq+/cAeDz3UiqCmxQ2yfvde8X5tZFx6qjB2ijWgMtM\nhdaLT6LJpDd4RyPdSVKkRlJLAzaHVZdnjTIGPSDw4vVrBAQEqNLk0VMPWMRXFsnhix/9xVJyfaQJ\nT6OkojfvNK+z1ciEhJdRIyPi3FknS6pKt6RJkiDoR5AqmWQ2yWVeanQzI77f6EFBjYxgm4z0M/Y0\nZcFSmsH3AwvXbFBs6suXryDiGw6fPFOVjBxSSkXcPVFP3nLVkFaFjIhtmLZgGSRTGNvQJzi2YbqC\npVXZIjLHlcxxiomoNAlmIhnKg4+ZREmpcZyPCTABwyCwZO0mNK5dHalV9EzVWiY2u/xMX/jWSRIr\nFn1PvX8xWpCIIoAoTW+oFyuC5SakkGhK0yvvt0iVwkZVmC6vl6+RLo0dRSZRVov45nzx6jXSp7VT\nJkC5AgOD8JZGQdLYKg/CLR6efHw/I3XKsDBs0VX41c8f/t++IYWKwMwi0HASirOaKYNhLLFg5xXd\nXcDXmYABEihesyHWzp2uKrafAZrJKpswAXZeJtz4bDoTYAJMwFAJ8FR5Q2051psJMAEmYMIE2HmZ\ncOOz6cZLQGy94e//zXgNZMtMngA7L5O/BRiAMRJo0LE73J66G6NpbBMTkAnwOy++EZiAERK4Qpsx\n5s2ZA4kScewTI2xeNokIsPPi24AJMAEmwAQMjgAPGxpck7HCTIAJMAEmwM6L7wEmYIQEqjR1gpi0\nwYkJGCsBdl7G2rJsl0kTqFmpIu/nZdJ3gPEbz++8jL+N2UImwASYgNER4J6X0TUpG8QEmAATMH4C\n7LyMv43ZQhMkMGHWArx87W2ClrPJpkKAnZeptDTbaVIELly7Lkd8Nymj2ViTIsDvvEyqudlYJsAE\nmIBxEOCel3G0I1vBBJgAEzApAuy8TKq52VhTIXD64hUeNjSVxjZRO9l5mWjDs9nGTaDroBFwf/bc\nuI1k60yaAL/zMunmZ+ONlYCHpxfS2qVGggQJjNVEtsvECbDzMvEbgM1nAkyACRgiAR42NMRWY52Z\nABNgAiZOgJ2Xid8AbL5xEnCsVAt3XR8ap3FsFRMgAuy8+DZgAkZIoH+3Tkhjm9oILWOTmICGAL/z\n4juBCTABJsAEDI4A97wMrslYYSbABJgAE2DnxfcAEzBCAv+MnIBnz18YoWVsEhPQEGDnxXcCEzBC\nAh99fBAUFGSElrFJTEBDgN958Z3ABJgAE2ACBkeAe14G12SsMBNgAkyACbDz4nuACRghAef9h/Dx\nk48RWsYmMQENAXZefCcwASMkMGLqLDx/8dIILWOTmICGAL/z4juBCRghga9f/WBpmRDx4vHzqRE2\nL5tEBNh58W3ABJgAE2ACBkeAH8t02WSB/vAP/L0C/v7+iOLy7wX5iskT+PDxE0+VN/m7wLgBsPOK\ng/a9MLEKzGZc+ammW2v7wqxkN/SvmQuV55/+2UkFemJx47yo2m8gatiVwrJr736S5Q9MIDoCpes1\nw/2HbtFl4+tMwGAJmBus5gaiuO/FeSg1/ykqTAhT+MOZ6Sgw5CNuP1+N/OavMcauHNpkOYDNdXNQ\nJn/s7l0LPbLMhDSzJqSB2xGvdB1kunMKNVJbhBXCR0wgCgIzRg9FxvTposjBl5iAYRPgnpc228/3\nKnqO9Ma63g54Hzpr+Qtcxq0CenUkx2VGtadBq5EO2DL+KOQs/g+wwPkrRrcuLmtmZl8Rs/EOkw7c\n06amXLaREahdtRKSJbU2MqvYHCYQRoCdVxiLWD76gk2N+qLiytGoaGuO26GlB+DbBwn5kiUKPWOV\nLgvgeQvP/CUEut/FEUgokiZp8HUr2DrGx2mfAPnzK+83cHvqHvrj/eZtaDl8wASYABMQYcFu33tg\n9CDYeWmpiZ9tHomtTkvRMVMCfP0mhdXi+xj7PAMRfqeldPmKAtITfCT/FBDwjfIWgV2KcCO6SamH\nduKK3DPrNmQUcpSsHPozaMLUsLL5iAkEE2jZvS+euD9jHiZGQDiuVj36oUSdJnj77r1RW8/OSxvN\n+8IFmfteQJfC8eDqegc33d8j7cuHuPX4BQKt06M47QH6Jly9L+7SZA6zNLAQr7QCvtN/vvjsF5bh\nmw85v4pFIfpio/v1wt4NK+WfTJkyhGXiIyYQjkCGNGmQIAG/Iw2HxOgPQxzX1t37sWTqeKRKmcKo\nbQ73eG/UdsapcV/ffUYBqnFYh45yvfE9X+MlRqLA21H4tLYl7Mta4O43zTCgyPD1nTuQsRryWJrB\nKmMeFMQ0XHnqiyo2wl3FR0L6Px/9iFTYMT8Kaw4xfNL04CP+xQR+JjB9zNCfT/AnoyYQ3nGtnT8D\nbZs2NGp7hXHc89JCEydyaIobr8/j1pVz8s+WkeTKBm2FtLYD9Z4sUb5nC2DGUtwJFMOJ/rh2yBV1\nhlaWe1ZIXRzjalhh6MazGs0+XELrW98wo0URLWjKRTIBJmDoBEzRcYk2455XHNy5YiAwn+g+BSfb\nysNwbkQPODQfhelZbmJWlpG43Thn8FVL1Fu6E5Pr1kXHGY9htWUzhq87RNPkxcxETkxAGYFl67eg\nYc2/kDpVSmUCnMvgCIgQYM3+7o2zV67j44ePMJUeV0hDcXioEBI6+B3k+4EmYVjBxtoy0tp9P3yA\nZG2DpL95xHCsVAuFHPJh7TwePowUoAmfLFq9PtbPn4k8ObObMAXjNf3zly8YPH4qFq/ZgFzUxtNG\nDkG96lWM1+BILPvN12IkOflUrBOIT47JJopSrW2iuhqFIF8yeQJXDu02eQbGDGD4pJmy40pJPeuj\nW9chfdo0xmxupLax84oUC59kAkyACegnAfGO6/zVa8iTOyduH9uP+PHj66eiWtaKnZeWAXPxTEAX\nBB4+forMGdIhYcJwL1t1oQjXGWsExFDhlPlLcfL8RVy5cRubFs8xWccloPJsw1i7tbggJqA/BOp3\n6IZHT9z1RyHW5I8IfP/+HUMnTsf/Zi+Ah9cLrF8wCy0b1v2jMg1dmHteht6CrD8TiITAurnTkTVT\nxkiu8ClDJFCzdUccO3UO6SnY8rMrpw3RhFjXmXtesY6UC2QCuidQrJAjEicOi5+pe41Yg5gQuHP/\ngRzuSTiunDnscXrn5pgUY5Qy3PMyymZlo5gAEzB0ArfuuqJCk9ayGRXKlMTSaRORNTP3pkPalXte\nIST4NxMwIgJVm7WBmLTByTAJhDguO5oK/+DUIZxw3oRc2bMZpjFa0pqdl5bAcrFMQJcEqlUoh6TW\nSXSpAtcdQwLv3n+Qe1zCcZ0ip2WbOlUMSzJuMR42NO72ZetMlMDgnl1N1HLDNtvD00ueDv+RHNjW\nJfPYcUXRnOy8ooDDl5gAE2ACcUUgZKhQOC4ROcMhT0i807jSwLDq4WFDw2ov1pYJKCLwvzmL8PK1\nt6K8nEn3BEIclxgqfHThGJ5fPYM0tuG3rNW9jvqmATsvfWsR1ocJxAKBM5euQERk4KT/BMI7LvGO\nK3vWLLC05Mgo0bUcDxtGR4ivMwEDJOCyaZUBam1aKouHi5v3aC+/tl3BkzPUtz07L/XMWIIJMAEm\n8EcELl27iRI1Nbsdiy1NeFahepw8bKieGUswAb0ncPbyVR421ONWEu0j0tIZk3B+7zaeVRiDtmLn\nFQNoLMIE9J1A5wHD4f7sub6raZL6iXdc4+cshEPe3Oji1Bw2yZOZJIc/NZqHDf+UIMszAT0kcGD9\nCtqg0E4PNTNtlcJPzjhCm0iamZmZNpA/sJ57Xn8Aj0WZgL4SEDHwEiRIoK/qmZxeh06cRqnaTVC0\nVkOenBFLrc89r1gCycUwASbABCIjcP32XdRy6owfAQHo5NQCk4b253dckYFSeY57XiqBcXYmYAgE\nClSujXsPHhmCqkat45u371C4al3ZcfXr1gkrZk5ixxVLLc7OK5ZAcjFMQJ8I9O3aAbYUrYGT7giM\nmT4Xtg4lZAWWzZyMmWOH604ZI6yZhw2NsFHZJCbQoUUThqBDAoPHT8X0hUvRuG5NlCpSGJ1aNeXJ\nGbHcHuy8YhkoF8cEmIBpEwhxXOMG98PoAb1NG4YWredhQy3C5aKZgK4I9B01EZ5eL3RVvcnW67z/\nkNzjYsel/VuAnZf2GXMNTCDOCbz/+AmBgUFxXq8pV7hozUY0/buPjGBE3x6mjCJObOdhwzjBzJUw\ngbglsG7+9Lit0MRrGzRuCmYsWoYMGdKhbtXKiB8/vokT0b757Ly0z5hrYAJMwIgJhDguHiqM20bm\nYcO45c21MYE4IbDL5TA+fvKJk7pMuRJ2XLprfXZeumPPNTMBrREYNnkGnr94qbXyuWDAkByXJEnw\n/2FcrcbDhsbVnmwNE5AJXHZxRiIrK6ahJQKG5LgEAhEA2NLIYgBzz0tLNzcXywR0SSBJ4sSIF4//\nvLXRBvrmuMLPKV2ybhPqtu2CUnUaI3Ox8li/bZc2EOhFmdzz0otmYCWYQOwS+OTjiySJE/Gst9jF\nqndDha/9fsDOKh58P3/GJue96D5opGxx787t5d9ZMmWIZQL6Uxw7L/1pC9aECcQagZJ1mmDb0nnI\nnydXrJVp6gXpU49LvMP6QUOBwnH5+PqiWov2uHjlutxEu9YuQ/0aVY2+udh5GX0Ts4GmSGDayCHI\nmD6dKZquFZv1yXEJA8U7LB9aiF6kegM8dfdAwkRWOLFrCyqUKq4V+/WxUHZe+tgqUei0ctM23Lx7\nX87h+eo1CjnkiyI3XzJVAnWrVY6Z6f5PsWLiYjy2tISZf1gRlsntUbNVMxRLp9tJID6uRzB9xFhM\nPBMS+soOPUcOw9Du9ZAhlr/NAgMDMWnuYpy/eh0Hj56APq3jOnn+EkZPmy07rvq1qmHCoH5wyGta\nvWwz6n5KYbcoH+k7ge6DR+PA8ROyms9fvoZTo3pYO4+jKeh7uxmMfr430Th7YzjjBxwyppHVNoM3\nbnlq5lmPX3cMo6pn0Yk5HoemIUvbJXLdtZw6oUJaM9w9tAbrbgVSV6QGztyeizKpLSLo9vbZY3y2\nskWW1NYRrv3uRFBQEGYvXU3vuCbBiia/jBvYB4N6dPld9jg77+HphVMXLqND/6GwMDdHEYe82Ltu\nOWySJ4szHfSmIuG8OBkmAYeKNaW2vQcapvKstVYJtOrRT3r81EN9HX43pEa29lKFpZd/kv10f798\nHrYlpd1e33+6Ft2HgAA/yc8vINJsmmt+UuRXw0R+eB2QYJtVQpH+0jGvr2EXSPLKmn801xqtkj6F\nu6I5/CwtLpJTQtG5kVyLkDn0RNdBIzVlprGX3n/4GHpeVwffv3+XGnboptGJOFRp6kRM/XWljl7U\ny3Np9eYxghVhArFHIG3q1LCwiPk42ttvP+uSNHctbHAZRCdfY8bhe3i2YzjM7Jri4JuA0Ixfb2+k\nc9nQ99Bd7O5eEaUGzMfM7uVhkT4vrDLnRLWJLgiN+eF7j67VDb6WFxZ2pTBw7QVQHyrSdHHVUvn8\n4g0TUOmnoUvqfbSbgq01EgFnJmDvM78I8kkzU5zB5AkinI/qxKkLl5DY2hr3Th7Uaa/m+u27aNSx\nOxxoZ+ydFDVl0ojBcNmyBgc2rISlZcKoTDD6a+y8jL6J2UBTJDBj7LBYn7Bhlbcc2iMeTh+7A+uc\n4l3rVaw/8igU763d2+g4J+oVz4Qv3t64sGE2BnqXx9Z18zCzRgYcnt8Ti68J9xUIl7EtMdD5LkbN\nWYHbLquwwCkVZg5uhRWuX0PLCzv4iPsnHwCZ+qJhbnJSEZIlavTQ7Jv1/O2v8sFf8EkTIuKA4s8F\niXdcR06dRZeBI+D64BGmjxyMPDmz/5wpjj7ddX2Iddt2okLj1jhz6Soypk0D55WLMKxPN9SoVB4J\nEkTujKlLFEca6r6amD+a6V531oAJMIG4JGCZGX+VTYA1L95BcmiGKRiHoatOYV7LvEgZ+BTO8+8C\njSahvE08rBN6ZWyJxzsmIps4Lp0WLtmb4fzt50DhzPhmlQ/954zC+JZ5xFXYB9xCrw138ekr9ZwC\nE0DMFZG/nERXzNICCZOK8BAJ8LvpIuaJwr7MX1/chS033yBZQuG4PuOEB/UOPZdhztr4SEtnvn37\nhlxVWqCi/c/vwEZOmY2p8xdTDmD8kP7o3r61fBzX/7k9dUf+CjXkah3y5sbxHRuRMoWNIjXELERT\nSey8TKWl2U6TIrB8w79oWPMvpEqZIvbs9vfA4TPfYdMlB5IiDepPqISho9bi8oe/UeP1eUxHEIa2\nLi87HTMf6gG0a6hxXEIDGsJMCjM88BE9o8RoMHYeklP0h/7dp+Pm5VM4FjwhRGS9vbgZHCfeEIdy\nGrvnODKGfPjN78CA76FXvC8tRN+Jj0M/aw5eY/jgsWHnvPNDGllK/vzjxw907DcUa7dsl4cK7x4/\ngMwZ04fljYMjMUGkXZ/BuHzzFh4+0ui+miZitaYJWRYW0fUZ40BBPayCnZceNgqrxAT+lIAIE1Sm\nWOFYdV6StxvW0CzEfHapZQeVq04DYNRh7LjkhvQPt9OMv/JoVtSWVNcM3YmBxcjTc4xJXwnjydmV\nadQaTXpPRVfPdWgx/zYsSSB98bYY37sMEooP1AUrmCoR3iShHsWZo7KjrGIT0rvwx2PX97DPnQ6X\nN26hzHawT2WNvO3X437FT+Qw6Z+FD9Y1b011tcG5f1vBJoC6cgEBME+ZWVbN+81bGp7bFeq4Dm5a\nGeeO65X3G4glMBu370Qym+To5NQC2TJlRLtmjeT1XLKi/F8EAuy8IiDhE0zA8Alc/W/3HxmRMuGv\nT/tvsXrUMLnM3hVzyr/N0pXCKseE6DiiD654PkTyLktRSEH014DHF2TH1XLRUWxqnFUuK/A2vQsj\n50XeBikKN8CoEj+r/6FdO+DgEjhN3I4HM5tSL46SqzOyVxiJOo1q4bnzM6DGSFTLlADxqVeY2yFN\ncAH+yJWZvuZ8UiOfvb1GLviKp9cLlG/YCu4ez2BGm0ee3b0FBfJphjGDs2j9l/uz5yjXsAWeP3+B\n+PQe6ywtNM6XW8NX65UbeAXsvAy8AVl9JhCrBOj1kEinDm3DkoSXYPaNOlTf3uLg2lXY6RmEQr2X\n4W8H2XVQruSo3q0h0GMLxCDfkubFhWjkKbhccdEiRQZUpSHEs0f+w/1S9fDD9Sj6tpwoy7m7ewGh\n5YcVZVO5IxaVXYMeG4Yg2a0L2DKmNQomSiSXs8/5gJxxSJd6PzknjXSQ/P4srCTNUYjj+urnh5vH\nDiB3jmy/nQTxq2xsfJ63Yi2GTZ6JrxSTMC1Nxrh76hByZMvCQ4Qq4LLzUgGLszIBQyEgXvpnTJcW\nCeVJCyq0pp6P3Gc5swndz4STy1gEExcNQP/GJcOdBNJVrodG2ArnjO1QK5zTiTCJO7hcSxoChE02\njBpUBRWmT0Ve56lyeYNHDkCGibMxp3NHNHY7h7LWIUODIdWlQvcdp5B24jA0nL8TLRrvDLmACmWL\n4dOZK5hKM/NKX9+Leul+7jWK0cfw6c3bd3KPSziuUzs3I1d2eUpJ+CxaOf5A4ZwWrKIhTbfH2Lxj\nN+pS/MFyJYqheb3ayJSBQ3mphq4Xq81YiRgR4EXKMcJmEkK5y1WTbt9z1b6t789LBW2zSfXX3FVd\nl6/3C8nd44X0zi9YNMBXev/eN9oFy4E+LyW3+66Sm5ub9NzbVxb+4XVOGtZ/ifQ4mtXOAQEB0rSF\ny+TFvpev31Stc0wEPn/+Irk+eiwVqlpXrtc2f3FpwJhJEk0UiUlxLBNMgHteqt09CzAB/SewZvZU\nZKWX/tpLX3Dj2Akc3TaVhgwLY34j9e+KkqROiyThFTRPAhsFM8LjW6ehSRpy/zBUWrx/mzRTM3sw\n9OQvB2KosGJjJzx56i6/48qTI/svOWL/o9iqJE/5GvCiuhMlSYILB5xRokjB2K/IBEtk52WCjc4m\nGz8BrX9B+rthUMs+OAIJfVesjGSYT78Yh3/HtXzWFJQsXACJab8zbaWl6zbj8KkzeEZOSziu5g3r\nYtLQAciWJZO2qjS5ctl5mVyTs8FMIBYIWBaAi9ddipVhCUs9/xYJ77hO02y+nPaaGY6xQCFCEWK9\n1tWbd9Bt0Aj5WsmihVGP1tstmToByZOFTHSJIMYnYkAgXgxkWIQJMAE9J1CteTs8fPxUq1qam7Pj\nCg9YRO6o06YLStSkGZiUnFcvwfn927F7zVJ2XOFBxdKxnj8zxZKVXAwTMDEClcuWQlLrn94omRQB\nseddl4HDceeBG6xpeFCbPa7zl69h0IQpcHN/hjfv3mMR9bLKlyzG67W0fMex89IyYC6eCeiCwNDe\n3XRRrd7UuXHHHly+dhMdWzfH0F5daQ2VdoYKheOqQr1c21Qp8Ff5snBqUh/VK5bTGw7GrAg7L2Nu\nXbaNCZggAfGOa4PzbjhStIyVsyZrjUCI48pD68SOblvPQ4NaIx15wfzOK3IufJYJGDSByfOW4OVr\nb4O2ISbKh0zOEBMnti1fEJMiopShJUboO2oikuUqhNJ1moAdV5S4tHqRe15axcuFMwHdEDhx7gKa\n1Kmum8p1UOutu67Yvv8gVm7eBrEvV2y/4xKTMeYsX4MT5y7i4NETaNu8MfLSXl9/t2nJPS4dtLeo\nMu6cV6A//OVtUs1pB9C4q1ZHXLlaJqBTAodot11TSX5+/qjbviueUZDb3LlyYDfN8out6fBfaX+x\n7xSFfi45rrHT5yAFbTGzYMp49OzgFCVe0UMzpb21ooShpYta9yI/3tzEktFT0NP5YqgJeR1rYNTE\nIWhRQrMtQegFXRzQJnqLOg3Dy3pjMKGx+igBYs+GU/OHYOHrKlg+MbLAoLowiutkAqZBQERlz1+5\nNr74+mJgj66YPmZorBl+j3ZTdqhSBz/IeYmUJKk13t27EqH8gMeHMXbBcVhZhWwGo8mSOn8VtGpW\nBXZa/5aNoNLPJ/yf4t/p0zBl9FKKhiLJ10p3nYyJw3ugUmYDXnumzUBZX25tleOewTarhCJNpKET\n/if1b1tbju8lzlWad06b1Ssr2+eG1MjWXso377Ky/NJnaUPbvBKqLpY+yRIfpMW2OSTYTZXeKiwh\ntrJxbMPYIml85Zy7dFUSMfWMOW3euVfKULiM/H0yePxUiXpgsWbuio1bpaQ5C8plT5i1QFq9Zbt0\n1/VhpOV/vbpCeAT5x9HRURI/IZ9h1lk64/09Urk4Oel9VmoPc40+9btI46ZOlUZ0rRqq37ijT+JE\nDW1UAm0UKpcZ8FDqQU5BOKlua85LX8NV9On+fqkqBfOEbRPp9HsdB6f0U+u8AqSNjfKQ81oVapPP\ne2/JmwKKxnVi5xXXxA2nvjgLzKsjJBSdXf5uSV+ojNSsa2/J3//PHZdwftdu3ZGGTJgml52paDmp\nXZ9BEr1Di9LKr7c0zmvO1Y/h8vlJNzeO1DiJSgtVP9gGBPiRM448yrDmml+0AYwl6Y20qFJyWYfx\nLj873k+3nKWqiEfXKkhHdP0dHI6amkOtOa/ne8bJN4DNiAOR6nN/aVf5+pSr1H/xeyIt6N9Lmn4w\nPOAA6cqayVKv6S4aJxHwTFo+YpA0c89p6b81Y6TKRUpJFau2l+adfip99DgnTezWXD6Xp2p/6aBH\nsKtUUm4E5xUgPTy6XhrQqJbkQHXkq9pUGjRvu/TEh5wslbd8RC9Nb5J6kp1GLJEe0A12Y/siaczS\nI5JfwEtp3YRBUu8J26RX4a0OEHKDZFs0vTVJrqObXEcNqXa3kdLmC+7hJRQds/NShMkkMz1+6hEr\nX+j6CC/EcXXoOyTWIrPTjspS3go15O8k8cDdd9QExaaHOK8pVyOOvZweVlJ2Hqvuv5A2ONlKqP+z\nI7s6twO9HOssXfTxkXZ1LSaV7DtbmtG1qMbpUW/ur/H7g0d4SB2fO3QtrNdEG59JA1af+60T+37/\nX7mcKlPPRmqLt8to+Xr91Xciva7vJ7XmvM5PbyDfCIvvh3xd/4oiIOzJItKhu8/Sqqq5JRSdq3lq\nCc4jD0HSzVWhUc3QG01zrqRUqWppzTm77tLtAHI2Ssr9xXm9Pjg+uNzq0j8jRkltq9KQINWHRqsk\nH7+7ob1J+RzVc9HHN5yevppeGeXf4BY2ZONzdYlchuN0zTDp1XlOwXWUlLr07xh8nFXquj288/6V\nV8TP7LwiMuEzxk0gth3X1j0HpHL1m0vJcxeWrHMUkDY575Gu31a3vUtUzitkSFE4tqtT6TuLHM5u\nryBNI9FD7SAkkOC0jh7Q6bujfiqN06o/RNrqslua6VRE/jxF7tEFSAf6ZpA/j9p4RLp99Zi0oO9f\n8ufF98O+a8K3/v3V9N1CDnDOrfA9wnA56LuvMeJL+eZeCnfScA61tM7rC+6df0DciqBQFmv6HVkK\nN+vw573jQjMnTEob0iVPAPlyaJ4i2HP5Lk7sOIDn64KjCDh2xAOPczh2+CzODypNzXUQNz38aMvW\n0KJ+Ovip3J+u+OPCpn/pTBGcdnPBnInjsfbwLWyoQW9izxzA/YA8NDHjDjaWpe3tHAfj06tFKE6b\n5oWVlwQ1e7aXS1x+9F5wyYG45LxFPh7VrAikFy4oMvEsbVk+GJ5e57Fs5kpIdzaiPeJhWc/FeBAo\n7jdOTIAJ/Epg4eoN6DV0NDq0aiYvPv6T2XyHT57F+JnzQUOO+PDpE2pQVIzTtDFlS4r+XjB/3l+r\njvnncN9BhRq3p3Ju498TbnJ5fvePYTq+Y1iHSqBvGJr6RX/79L3yeNcUNK1RD/0XLaGdouPh/K3n\n8tVvViXQf+NdjG9VBfkLV0LHFjXlcj7RjMhI07fPtA12XZTKEvWkjLuXXfGbEiItVl9Oasl5hZln\nFm7777Czf3A0qDfqZhJNDdilSy3/7tzHCTktNTuvJk+aWD73/FNMmsMc5WYchtf1RcgX+BZPXO/g\n0jEXnLv7XS5T819Q6HFkptmUriM7opPLjuG1yOn/EBuWewJlB6NapgR4cni3LO9UuRgSf3gJj2cU\nD808Cxo40fYMkifexETtUI34gAloCNDGhxCz5YwlxabjOnD0BKo1a4Mx02ajce3quH54LzYvnoMC\nFJFDm8nMvjJmO1pj04ojsrO4uWs7OZdWaFo6vVytmc8PoFMTZAtRgnafTgYzuPl8pTNJ0GD8EtTF\nGfT/uy2qFkiARCX7h+QEfK/gL7P48vR84dTNpp1DwDe6LLnDw1deoxSW95ejfMVyy87zl9N6/1FL\nkzgTo2CpwtRbeYxXApx1uMePYCTSi/O0JTZNLy3dFJ2psxRZ8o/kZIWkYXvwhDiP/FlSRJLz96ci\nK1eT25z8xxn06jocOz3DnNTvSopoFeW0zItOXTJhzfIlOPViIOp4HsEa/EDn9jUgnn9efNP0rDYM\nbooNg38t+SquuvuibLjt1H/NwZ+ZgBICvTq2pXh7KZVk1fs8seG4Pnz8hJqtO8rBc9+9fSfb7Hr2\nCHJRaCdtJo9z/8nF2yYSD9yJULdfU/TrsBUXXlTGpTEngX+2wSH4wVtkzCfnjuw/T4y1yIFx+IYy\nXYeiSb+N6Oq5Es1HH6JNaShZ2aHz1HH4CwlgRguqbYqmRgaLEnRhKw5feY6m9cJiO370eIygzPZI\ndPMsdiAIrVOFfadGVnNMzr2l77lUCTUdipjIK5HRkvOiZhJDftT3mLnvHup1LRBBlwf7FqHP/LMY\nVroTXRNPFoCmHyUfUo/FA6fPUI+nbPDn4F9vxdPEL8k/eB3GL6dDPyopV84c+AgDag7DTmTH/+YM\nRp3i2ZEhfQrcneGE8vNDi4v2oGTzzsDykdh98hJSPN5F+YugS8XMslyIw60/bRPmVkoNv6/k3C3M\nkSDADx8CrFGAHVe0fDlD9AQ6tWoafSYDyBEbjuvGnXsYTQuML165jooUbb+oowOKFXKMdceV0EIz\nIhSCNcDjMHp3o95VvMEonV1zzb5aCxREdfRx6oE7kh+mtCmpKFJEwOPzsuNque0xNjXRONzA2z4A\nOS/x/QHzjGg+eGRI1ZrfvpVB77SwvMEktH23DGVtxHfyU4zMQq8/6rdHO59N9LkCOtSMxWFSKvFb\nQBCSJIyv0UGL/2vNeeVu2AUFR53DqVHdsKzoPnQtHPYU+NV1N1rSNfGl3qCYLf1+JZv4/lvIVzv1\ngm9ekHssoPb506S4XL+vcnUWvcdgeMtSwdU+x5H5d+m4IKgXHy4l/N0rNZg7VMbkjBYY1rcVNpKE\nrdMgFKZ3YyLZZc4g/06cICkyZ7KXj0Fb+u0eUBUNNubFNfeFKBTuSSw4A/9iAiZFQIRjWrbhX/QZ\nPjbG77gC6KH2xLlLqNOuC75TFI4c1MvasWIhUtgk1wrLw6vmwyZ3cnp3Bfh438Dg0UvkeuZcHoxc\n5sG9kHSlMKh+SrTefVx2ak3DfS9GUCpAM0ojzlukyCC//zp3+BDul66PH65H0LdKV1nE/akXzQNJ\nFkEc1gUxdWN37Gi9AOVSXMT/Ns5G3cI2KNSVRqqWLcdakkg5bBCqyE4tonhMz/ywiB83w5DanFty\nK3g6vJiZ12zCUunA0UPS5nmDQ2fXNVgavDCYZvGJhcIi34A1R6QzexaFLW5uFLwY+JdZgULvr7dW\nyTLhp6jeWqqZySefU1su5W8v69FEWnHwgnTxqLM0sEjwbEPbktL8ow9pWuoHzexC2+rS/zadopmQ\nvtJKed1XyKJlDdGQpQDCpjliOUBIovVvg2yzy3r3WOoi3bp1UVrRv66GSf9dv532GiIe/jfPNgxP\ng4/DE+g3eqL07LlX+FMGczxm2hzN3wP97cRkOjwF5ZXl5BnBVEap2k0kH1/trcP8covWnNHbpV9/\nyjkNlXbceh2B+2uXSXLeSnPDT2Gn2YaVUvw888/vjtQTFlLrjWIqu590amr7n+oYPHeupFmA7CCd\nFkt5fpPcXRYEr+kKp6NjPamRI810JL277FY3y/k31cT5aa1NlQ+x5OHBxcELkmm6Od1Imp/q8vqs\nkDzi9+vTK8NdzyrV6j9RGlg1J01R/9l51V8TNo01xHnNCbe+ImR92arg6aPRl6txWBWCHem9TWN/\n0gNtJ0hrQxxucBSN+2v6BucpSTeN7y8RN4Kt8jqisbvIeOlZeEPp+IfXOalHEY0DC2GSqdsS6XHk\naxJ/kQ77yM4rjAUf/UygdY/+0hP3X++8n/Po46eZi8O+B/7dvV/VOi7XR4+lXsPGSqXrNJX/PoUD\nX7V5m95FGvHarVlftdXru+om8PX2ktzdvaR3fsGiAb7S+/c+0T/0Uj53t/vS/ftuJO8dnP+NtHP8\ncGnj/d9MpVetXdwKmInqYto9VC7njxfPvOBHo4KSRSKkz5Q20m5lkO9bPP8QgETW1khtk0R58dHk\nVFtu0IdXcH//BfGTpkCW1DZy6b4f3iDQ3Bo21vLrUfj7fkYAjTVbW2o+R6NCJJcDiYkHMbFA0hQp\nYmSvY6VaKOSQD2vnTY+kfD7FBAyLwM4D/6FRh26y0ltpeK9p3ZqKDBBbv9y6/wBOvfrD98tXZMuU\nEYN7dEF7ivweXRJff38y5T668sNf//7iMvaeuI59rXtijdMGfF3fPNLvwfAyVNvtXQAALvhJREFU\nfPx7Alp75/VzlZZIF/p+5+cr4T/Ft06FzL9bFhY+o8pjteXGt0kDe43PCq3J2uanaR+wpC3WY+q2\nNIWaK2ISqgAfMAEjJkA9Lgwc+z/ZwpvHDtBGkrkVWfvA7Qlyl6kq57XPlgU3j+xDujR2imRFprhy\nXKKuoFdX0KR1D3l6/MGpjdhxCSh/kOLIef2BhizKBJiAagJ7Dh1F+ZLF9H6vqU8+vugzcjzW/btD\ntvHGsf3ROq4fP35gwNhJuO36AGcuX5PlZo0fCTHDMimN2uhrsircHQF+HWg5jaWiGYb6aoe+6MXO\nS19agvVgArFIYMj/pmHb0nl67byE46pKi4Wv00aS1SqVR+fWzaNdKCxk1m/fhTlLV8E8YQJULVsa\nuWkWYZ/O7RA/vvanZ/9pE5nH+DXDn9ZsfPLsvGKlTb9g18guWGTZBrtH1uThgFhhyoX8CYGL+7cj\nSWJNtJk/KUdbsiGO684DNwr1tgFlixeNtqpX3m9QrkELuD1+Kue9fmg38ufJFa0cZzBOAloPD2Wc\n2CJa9eHidRw++Sh4uXXE63yGCcQlATF8Fi+efv55h3dch/9dE63jolmEyFO+OjIVK4/3FCnjv63r\n8er2JXZccXlD6WFd3POKlUaJrwnO6xMcRDhWyoy8kP1HjuOx+zP54pv3HyLPxGdNngCta5J7Xvrk\nwDy9XsCZZhSu3LQVj+geVuK4jp+9gC4Dh+PxE3f0/bsj/m7TErlzhCzuN/lmNmkA+vloRk0S8Owk\nhg9YilvPbmBRuzrI1H2jJtgGBczdP38sqhQtjfx/1UKniWtw440mMofHoSXo2v1/OBv8GYFPsWLk\nYPSZuAmeIc384R5mDOiNiXvv05lAPDq2AQMb14ajXF4zDJ6/A099g1cPBHpiPcnP2nsRJ5eNRUG7\nUlgqQrLgIw7T54ZUf8XGHTCbIty7+kQfCzFEhT/5vXzjv/hnxDj559Wr139SFMsaMYEStZvoXWDe\nDv2GoC9NzvCk+1aJ41q5aRsqN2olO67ypUtgNk3KYMdlxDetWtPidlmZ8tpCFiCHLOJF1cXSO9qQ\ncnIRWrgsFjvTRpR/t60VvFi4iXSQFvx57Rkmf+5z8Llc0Q+3bcHXS0ohCwLfH50qnxt6+pUU1d5d\nckyMX/YQA0XZ2OjmLW3tlj+43OpS/UbBe4gJnUIWVCs3U3VOmmkliQgC4ocXKavGZzICuw8ekSgY\nrV7Yu8vlsJTY3lH+mxGLp6NKvp8/S1WaaqLkiL/zlt37ShTmKSoRvmaiBPR/2DBjQxxzHotKmazh\nurYbhnkG4O85u7CkpaPsp4cdmoYsbZeg/qrz8P+7BkUg/BfrTt/H3Orp4XlDM41WBAg+e9sLTdNl\nwd1jB0muCBoWSIoLvf6Vj0+7bUVZOfbgcFRrVwROB6kn5dsexUNjGdph+rpV6Fk9D3BtNRI5f9Hs\nx7WyGzIQQa9Dc5Ch7TwKaKb20UF9fnm7A9rygBMTiIpAvepVorocJ9c27tiDo2fOYe1WZ5QoVEBe\ndNy2acNI6xYLjacvWo5DJ89Q5HcPjOjXCzmyZUGbJg309t1dpIbwyTgjoPfOa+yc4bLjAr7g/IaT\nBMYOfxVKhbcvXuILBWRP7FAO7bEMa07ewPuRrdDV0QI9VpzHu4lVce/IXjl/QXhj7Wk3zKmeBGeX\nPyfH0wkOtE1LDrF312RzWMl7d72mMh/9sndXcDs06o++5LgELNcrx+STGyZ0lB2X+JC+enssclwC\nWn7IiQkwASJw1/UhnHr0lVm0aFQPq2dPpeVNCSOweUFDiN+/B6DbkFE4dOwkcufKAZcNK1GZor9z\nYgJREdB755U8UWj3RzMpgnpRTSqUjWjTRxEZMxXKNi0G3DqL288e4LyzPxpMW4RenmNQdcE1PO5q\ngS20f03LesVoOrs5/BTu3VW+UM7gRYX+ePpAvD0rguy2YXrRqkOky06f3SKqxWeYgC4IOPUcgAmD\n+yJr5oxxXv3WPQfQvEsvuV6XLWtQg9ZwRZbEQur6bbuEXhLvtU7SbsacmIASAnrvvPwRtk2KZhPJ\nnNhxZAEKJAqC2MbLguILBn71QVDK7BCbriQrJeKhjYTz1o04TZtAtitRBEXSVCLPdgyb1nniBrm4\n4aWy0lwN5Xt3vQvdqsUSdmlF3ChffPClX6HxoYLwxTtuJmxQrZyYQLQEbFOlgLl5/GjzxVYGMf29\n1/Bx+OjzCfvIKYl0nBxRRXJIv6bAwECMnDIbU+cvli/tXLNU/l2mWOFfs/JnJvBbAnrvvMJrrvEV\nn2CeMhvs0wVPlPS9ig7Zm8PFaSaez6wP8zzFMIg2YJs+fQPFECuPJVmskDxpaXoXtgaj5z8EMnZD\nyXTUS/JVs3dXmBbJUtvRh/9w6IIHatTNornw4TZ2iI0zNa/hwjLzERPQEYFZ40bEWc1iWn7vEeOx\nYZszClKg6AplSqJhzWoRHNdr77dySKe5K9bIDq5k0cJoWKsaGtT8K8505YqMh4ABOa/EaDhiEFBz\nAuoXao51m4chfwIPrOg7mNzSD4xtGLwjqXlWVHJKj+kbaC0U/RHlERs7psuFeohHva4gOLYoB3kg\nhXaWTErtGDB/FlYWGwgHixfYNngIZlAe4DnOnnODY+mIDW1frz2qDj6MOZ0rI/6cFWifzQ+Le/aF\nM+kgFxhRhM8wAaMm0KJbX7jQ+sO0adPgAkX2SJgw4rstsZtxxSZO+PSBxvdp8fS6BbPQpmkDo+bC\nxmmXgN6u8woxO3Rkjk5YFe4A93V96Ogq2rZsgsKNB2CRZxD6z9mGMWVFj0gkc5SsXUs+qlC9aLA/\nyYCavfPJ5zpWzin/hmVeDJ7Tho6vonPblijRcgBm5GuLtSOb0rnX6N1qJ00e1Di4VOH/Fm1KYofL\nFNrV1Awz+3aGQ73eWGRTDyMaZYiT2YYa5fl/JhA1AbFG6u2791Fn+oOr4n2ViHqRt0IN2XEVLuCA\n2xRU91fHNW7GPOSrWBNFqjdAWtvUOLVnK7yun2XH9QfsWVRDII7284pl3P4f4eH1jl54JYK1bVqk\nCO/hVFalZO+uSIsM1iHAIintT5ZaJ/EMeT+vSFuGTxKBQlXrYuPCWchLs/diO529fBVl64iHPKBD\nq2byVPbhvbshW5ZM8jnxTmuj8x4Kl3YWG7fvRPXKFSh4rj2G9+kG29Sp5Dz8HxP4UwKG6bz+1Goj\nkWfnZSQNaUBmiN5c6ryaILpDenfHlJE0lP9LmrFoBQaNmyQPD04c0h8j+vIikl8Q8cdYIGBA77xi\nwVouggkwgRgRaNihO3YdPAzQXloibVk2H83r1w4tSwTPLVO/OT7RDuNB378jYSIrfHK9FmEYMVSA\nD5jAHxJg5/WHAFmcCegjgScU+DZ9Wrs/dh4enl5YuXkbdh04hJSpUqJflw5IlcLmJ8dF4Z/Qe+Q4\nvKde2cAeXeU9xP4qXybauimqUZzuZKyP7cQ6xZwAO6+Ys2NJJqC3BGrT4l+xGWVM97sS098f0r5Z\nDTr2gBdFs0mTxg4HNqxAIZoKL5JwPN5v3skbQ4ohwvgJEqBujaryMKLSTSFFqDNOTCCmBNh5xZQc\nyzEBPSawauZkZM0kLwpRraXbU3fkpRmCAf7fkD59Ojy+cDx0MoYoTCxIrtaiHS5dvSGXLSZtrJw1\nmXtRqkmzwJ8QYOf1J/RYlgnoKYFSMYxWsXrLdgyaMFV2XGMH9UX3dq1CZwj+d+IMDSFuxYVrN+D9\n9j3mTByNnPZZ5fBP3IvS0xvBiNVi52XEjcumMYHoCIioF24eHnK2A0dOYNKchbCnaO51qlbC8H+6\nU/g1ikZDibZYQaPOPWFH771ykcPatGg2yhQrIl+L6j9+rxUVHb72JwTYef0JPZZlAnpKoHqL9lgw\naQxtK0JxPH+ThGMpVK0eXr58FZqjR4c2WDhlXOhncRDiuKpQxJo9a5dFGh3+J4FwH7hHFg4GH8Yq\nAXZesYqTC2MC+kGgYumSSJI4caTKzF66Cht27KZZ7z9kx9WmWWP07tgGiawskS+3JgINbQCJnhRo\n9/L1m7hx+y7+qlhOteOKtHI+yQRiiQA7r1gCycUwAX0iMIyiWfyavn37hr2Hj6P/6InypZaN66No\nQUfMGD0UyZJay+fEZAwR+mnN1u04duYCxKaW1SqUw7hB/0Tb4+Ihwl+J82dtEmDnpU26XDYT0BMC\n/jRzsF67rjh84rSs0YZFc9C6cb0I2olNIbdQaCcx9f1fmmrfrJ4mTmiEjJGc4CHCSKDwKa0RYOel\nNbRcMBPQHYEp85egffPGcHP3gFOvAfD0eklbBJnJkTGq0xBg8mRiTwVNOnD0BJp3+0eOUejz8RPE\nViVHt61HIoqSwYkJ6CsBdl762jKsFxOIIQExfLd22064PfHAxl17kSVjegqK2x3VyGmVK6GJSxhS\ntJga3/GfwfLHkf17y787kNNjxxVCiH/rKwF2XvraMqwXE1BJQERz//zlK/rSOy3XB4/gTqGdShct\nCOeVi0PfaYkig4KC5HyDJ07DsrUbEc/cHH27tMeEIf2irZHfa0WLiDPEEQF2XnEEmqthAtokIEI5\nVaLNHl9QKCeRFkwZj54dnCJUKWIeVm7WBh4envK1GWNHYED3ThHy/XoixGnxe61fyfBnXRFg56Ur\n8lwvE4gFAis2bsXJ85ew5/BRJLNOgsXTJsp7eCWkxcVfqBeWOHEiuZZ1NIx45NQ57D96HJa00/Gi\nqROQO4c9KtHaraiS6KWJWIXstKKixNd0QYCdly6oc51M4A8IiPVZt+65YpPzXkxfuBSZM2dECZry\nLuILZqRYhCKJXY5FYN4gyrt930FMnDUfGendV8F8ubFiBsU9JJmokhh+TEKOT2mQ3ajK4mtMQBsE\n2HlpgyqXyQS0SGDM9LmyMxJViC1Ipo8ZGqG2vWuXys5tzLTZ8rWeHdtiweSxEfJFdkI4R+G4ODEB\nfSbAzkufW4d1YwLBBB64PYFYgyUiX5y9eAVmNJR37b/dKJg/70+MxDutLoOG49u373I+cfHq4T0o\n7Jj/p3xRfYgXL15Ul/kaE9ALAnyX6kUzsBJM4PcErlN4pvoduuHEmfNInTIlGtSqjoObVkdwXLfu\nuqJJl144Ru+2QvLtWb8iWsclHCInJmBoBLjnZWgtxvqaFAEx0aJd74Fi90dULl8aO1cvjtT+rXsO\noAUtNJZogkUpivb+zOsF1s+fIU/eiFQg+KSYRRgSOT6qfHyNCegbAXZe+tYirI9JE3j3/gNqtu4o\nr9ESM/y8vd+gUZ0amEVT2tPYpvqJjQj51O6fQfJsw9evvVG7WmXMnzgGae1s5R2ObWn7kt+l798D\nkCCBBc8i/B0gPq/3BNh56X0TsYKmQECEaLrj+hDHz17A5Ws3UbVCWRTImwfp0tjhny7tfpr1Jxzc\nKoqM4bz/EC7dvI2OLZrIe2yJhcbmtOBYpC5OzSPF5uPri6TW1rLjijQDn2QCBkKAnZeBNBSrabwE\nPGmIr3arjqEG5sqZHduWL/gp/qC4KCJoiJmAfUZNwKbtu5DMJjl2rlwkR34PFY7kQMiIJCZiCMfF\niQkYAwGesGEMrcg2GCQBsQC4XZ9ByFS4rKz/f1vXQ3r9BK6n/4vguPYfOQ6L9DmRMGNu2XFVLFsK\nH12v/dZxDRw7Gc8p2oYYWhTvtXgGoUHeIqx0FAS45xUFHL7EBLRB4P5DNyxasxFXb93B+ctX0b97\nZ5QsUgh/VSgToTrheGYtWYWBY/8nX1tIkTEsaGiwef3aEfKGP5Evdw55xmHChAnCn+ZjJmA0BNh5\nGU1TsiH6TuDZ8xe498gNrXv2xxc/P2TNmAFrF8xE26YNI6guQjuJGYP/m7sYG7fvlKNjtG3cAD3a\nt46Q99cTokfXgd6DcWICxkyAnZcxty7bpjcEhk+agclzF8n6ZLfPirsnXGj2YOpI9RMLkss3bCnP\nNBQZfhdkN1JhOilCOn396sfbmvwOEJ83CgLsvIyiGdkIfSTw4tVr9BvzPzx64o7rNEQoQjTVq16V\nhggLRDpxYv7Kddhz6AjOXrkO21QpsI0mY+TLkR15cmVXbV4ATe7gxASMmQA7L2NuXbZNJwRu3r2P\nh+SwhtB+Wa/evEV52gByzsTRNOW9fQR9xEzAw6fO4sCRE5i3fDUKF3BAPVqvNWPUEGQIDrIbQSiK\nE8JpiXdiFRu3wvl92+UI8lFk50tMwGAJsPMy2KZjxfWRwLL1W/D3wOGyaqlSp8QVF+coo1zMWLwC\nQ8ZPkfP/LsiuEjvFxA7xrks4LpFOOm8KPVYiz3mYgKERYOdlYC3Wc+gYuBw/JWvtQS/0CznkMzAL\njE9d38+f0YZCOF2jGISetHtx84Z1MW7gP8iQNk3oflrhrX705CkadeqBL1/98dTdQ77kef0sMqRL\nGz6b4mM/mvwRGBgEa9rPKyTxeq4QEvzbWAmw8zKwlg0fRXzT7n0Gpr1xqev18hWcD/yHVZu34S7N\nInRqVB956R1V/24df7uu6tSFy+g6aAQe0HT5Lm1bwaJSeTSjae8xcVyfKFpGMlp0bGVlFQGscKiJ\nEyX6rR4RBPgEEzAwAmY03CAZmM6sbjABx0q15J7X2nnTmYkOCNRo2QGHjp1E0uTJsHv1ElQsXSJK\nLcIH2S1D78FO7/43RrEFAwLovZZF1M+dIZtR5s+TK0qd+CITMFQCUf8FGKpVrDcT0BIB2QH1GgDy\nOnKkdzFEuHnxnN86ITFlXQwRHhJDvfSc2KReLWxcOItiC8Zs8bB41ozOcQnTpwwfFKPenJawcbFM\nINYJsPOKdaRcoDESEHEFZy1dFTq5YsaY4bLDatOkfqSO6wJNd9+69wCO0EzC+4+fYFif7siRLYu8\nIFmsw1Kb1EaBr1+jqtoqOD8TMCgC7LwMqrlY2bgk8ObtO3z180dgUCAGjJuM3fR+y5YWFg+kcE4D\nuneKVBXxHuz81Rto1bOf/L4pM01337duOapXLBdpfqUnxfYlnJgAEwgjwM4rjAUfMYFQApev30Lx\nGg1CP5MnwkYaHmzVqF7YuXBHYpp6WwqyK6K9iyTeaR3cvBpJEicOl0v5oRgeFPt5xTS16TUQ4wf9\ng6yZM8a0CJZjAnpNgJ2XXjcPKxeXBMTQ4ACKxv7U0xN7Dx6Rq14+awpS0tYj9pkzwTFf7gjq3KU9\nuMbPXoB7Dx/hzr0HGE1T5IsVdEQVivpuZWUZIb+SEx8/+USIKq9ELnyeVCmS095e6ocnw5fBx0xA\nnwmw89Ln1mHd4oSA+7PnePLME+fpPZWIciH2ySpPMweLFyyATq2aRtoDukbhnkQUjZ7Dx+IH9ZIK\n5s0dZc9MjSHJkyVVkz3SvLPHj4z0PJ9kAsZCgJ2XsbQk2xEjAmI9VJ4KNeD/9assH8/CAreO7EOm\nDOl+W174ILs5smfDqZ2bfxtk97eF8AUmwAT+iAA7rz/Cx8KGSmDIhGnYe+QY3r3/IDuuEf16oVnd\nWkiV0gbp0thFMEu8g+oycAT+O3lajqLRr1sndGjeRJ5BaGmZMEJ+XZ8QC6frVatC9qTQtSpcPxPQ\nCgF2XlrByoXqKwEfikqxi95nTVuwRFaxfcumSJk8OUb164mECSM6IbE9yemLV/DJxxcrN2yBJUWt\nWDL9f/i7bUt9NVHWa96KtShZuCA7L71uJVbuTwiw8/oTeixrUATERIgqTdvg2s3bst7/bV0f6e7F\n4Y2qTPlfvHgZeurcnn8NIp7kjaMcOiy00fjAKAnEM0qr2CgmEExgydpNiJcuByyz5oNNzoJwffwU\nxyji+lf3e1E6rhUbtyJZrkKy4xpKC4x9n9yGn8d9g3Bc3PhMwBQIcM/LFFrZxGz88PGTHA1DrL0K\n2b14ZJ8e8qxB8R7IIW/k8f7E5I0FqzbgAUXEWLtlO6pR0Nwq5UqjN20iGdNp77pC/9TDk97d2UY6\nFKornbheJhCbBNh5xSZNLkvnBPz9v6HPyAnYsM0ZKWiygjVNO588bCB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"text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Image('./res/fig8_6.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 8.4 Prioritized Sweeping\n", "\n", "uniform selection is usually not the best; planning can be much more efficient if simulated transitions and updates are focused on particular state-action pairs.\n", "\n", "*backward focusing* of planning computations: work backward from aribitary states that have changed in value. (propagation)\n", "\n", "*prioritized sweeping*: prioritize the updates according to a measure of their urgency, and perform them in order of priority." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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Po+741ehcSbqfGLZYs62lwqEE7FWhi9X1RmDgV3SlgNLmPWkrTBsXdGz0VOVD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\no4HbeYPjitUbwFNvK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3didDPpfK5t10AyGyqH8NNSe3s57CYW1jTLGKNkriB/w31NSTzF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"text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Image('./res/prioritized_sweeping.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 8.5 Expected vs. Sample Updates\n", "\n", "Three questions:\n", "\n", "1. Whether the algorithm updates state values $v$, or action values $q$?\n", "2. Whether the algorithm estimates the value for the optimal policy $\\ast$, or for an arbitrary given policy $\\pi$?\n", "3. Whether the updates are expected updates, or sample updates?\n", " + expected updates: better estimate (uncorrupted by sampling error), but more computation.\n", " + sample updates: superior on problems with large stochastic branching factors and too many states to be solved exactly." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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CiqE7xDApIhUCCgGFgHUEFEO3jpHKoRBQCCgEHAIBd4egUhHpvAgk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\nrUVodIxyVfYJ6s+z9E0XutyiwZjr3qZz7fpXU7nU6IBnevVCz74DMStuK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"text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Image('./res/fig8_7.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 8.6 Trajectory Sampling\n", "\n", "Two ways of distributing updates:\n", "+ classical approach: sweeps through the entire state space, updating each state once per sweep.\n", "+ sample from the state according to some distribution.\n", " - *trajectory sampling*: one simulates explicit individual trajectories and performs updates at the state encountered along the way." ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "### 8.7 Real-time Dynamic Programming\n", "\n", "### 8.8 Planning at Decision Time\n", "\n", "+ background planning: using simulated experience to gradually improve a policy or value function.\n", "+ decision-time planning: using simulated experience to select an action for the current state. (look much deeper than on-step-ahead and evaluate action choices leading to many different predicted state and reward trajectories).\n", "\n", "\n", "### 8.9 Heuristic Search\n", "\n", "### 8.10 Rollout Algorithms\n", "\n", "### 8.11 Monte Carlo Tree Search\n", "\n", "### Summary of Part I: Dimensions\n", "\n", "three key ideas in common:\n", "\n", "1. seek to estimate value functions;\n", "2. operate by backing up values along actual or possible state trajectories;\n", "3. follow the general strategy of generalized policy iteration(GPI).\n", "\n", "important dimensions along wich the methods vary:\n", "\n", "+ whether they are sample updates or expected updates.\n", "+ the depth of updates (to the degree of boostrapping).\n", "+ on-policy or off-policy.\n", "+ fuction approximation." ] } ], "metadata": { "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": "3.5.2" } }, "nbformat": 4, "nbformat_minor": 2 }