From e572b5d511ea23cf9a8aa09a9835460ca4e37af8 Mon Sep 17 00:00:00 2001 From: Hill Bruno Date: Thu, 30 Jun 2016 15:54:03 -0300 Subject: [PATCH 1/2] Utilizando pararelismo, pandas e seaborn Aplicando paralelismo, pandas e seaborn para o jogo de zerinho ou um. --- zezinho.ipynb | 425 +++++++++++++++++++++++++++++++++++++++++++++++--- 1 file changed, 400 insertions(+), 25 deletions(-) diff --git a/zezinho.ipynb b/zezinho.ipynb index f3f9b93..85f2618 100644 --- a/zezinho.ipynb +++ b/zezinho.ipynb @@ -25,27 +25,29 @@ }, { "cell_type": "code", - "execution_count": 54, + "execution_count": 1, "metadata": { - "collapsed": true + "collapsed": false }, "outputs": [], "source": [ - "import numpy as np\n", "%matplotlib inline\n", - "from matplotlib import pyplot as plt" + "import time\n", + "import numpy as np\n", + "import pandas as pd\n", + "import seaborn as sns\n", + "from matplotlib import pyplot as plt\n", + "from multiprocessing import Pool" ] }, { "cell_type": "code", - "execution_count": 55, + "execution_count": 2, "metadata": { - "collapsed": false + "collapsed": true }, "outputs": [], "source": [ - "# grupo de amigos\n", - "galera = np.arange(3,15)\n", "# guardar informacao de convergencia para cada grupo de amigos\n", "converge_galera = {}\n", "media_galera = {}\n", @@ -53,8 +55,9 @@ "min_galera = {}\n", "max_galera = {}\n", "numero_interacoes = 50\n", - "# testa convergencia para cada grupo de amigos\n", - "for amigos in galera:\n", + "\n", + "# uma função que testa convergencia para cada grupo de amigos\n", + "def jogo(amigos):\n", " for interacao in xrange(numero_interacoes):\n", " i = 0\n", " while True:\n", @@ -74,12 +77,157 @@ " desvio_galera[amigos] = int(np.std(converge_galera[amigos]))\n", " min_galera[amigos] = int(np.min(converge_galera[amigos]))\n", " max_galera[amigos] = int(np.max(converge_galera[amigos]))\n", - "\n" + " return " + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Serial time: 1.010347\n", + "Parallel time: 0.591333\n" + ] + } + ], + "source": [ + "if __name__ == \"__main__\":\n", + " start = time.time()\n", + " map(jogo, [3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15])\n", + " print \"Serial time: %f\" % (time.time() - start)\n", + "\n", + "\n", + " start = time.time()\n", + " pool = Pool(processes=4)\n", + " pool.map(jogo, [3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15])\n", + " print \"Parallel time: %f\" % (time.time() - start)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": false, + "scrolled": true + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " minimo media maximo desvio\n", + "3 1 1 4 0\n", + "4 1 1 5 1\n", + "5 1 3 12 2\n", + "6 1 3 10 2\n", + "7 1 9 40 8\n", + "8 1 16 53 12\n", + "9 1 30 159 29\n", + "10 2 54 218 50\n", + "11 3 93 323 80\n", + "12 2 142 692 142\n", + "13 13 290 1160 262\n", + "14 16 576 2332 535\n", + "15 10 1039 4718 1011\n" + ] + } + ], + "source": [ + "dados = {'media' : media_galera,'desvio':desvio_galera,\n", + " 'minimo':min_galera,'maximo':max_galera}\n", + "tabela = pd.DataFrame(dados,columns=['minimo','media','maximo','desvio'])\n", + "print tabela" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": false, + "scrolled": true + }, + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " minimo media maximo desvio\n", + "3 1 1 4 0\n", + "4 1 1 5 1\n", + "5 1 3 12 2\n", + "6 1 3 10 2\n", + "7 1 9 40 8" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "tabela.head()" ] }, { "cell_type": "code", - "execution_count": 56, + "execution_count": 6, "metadata": { "collapsed": false }, @@ -88,23 +236,55 @@ "name": "stdout", "output_type": "stream", "text": [ - "{3: 1, 4: 2, 5: 2, 6: 5, 7: 8, 8: 16, 9: 28, 10: 55, 11: 93, 12: 168, 13: 303, 14: 589, 15: 1155, 16: 1891, 17: 3834, 18: 7706, 19: 13603}\n", - "{3: 0, 4: 1, 5: 2, 6: 4, 7: 8, 8: 16, 9: 30, 10: 48, 11: 78, 12: 177, 13: 256, 14: 579, 15: 1191, 16: 1854, 17: 3711, 18: 8521, 19: 14889}\n", - "{3: 1, 4: 1, 5: 1, 6: 1, 7: 1, 8: 1, 9: 1, 10: 1, 11: 1, 12: 1, 13: 1, 14: 4, 15: 1, 16: 1, 17: 45, 18: 62, 19: 13}\n", - "{3: 4, 4: 8, 5: 14, 6: 22, 7: 46, 8: 101, 9: 157, 10: 256, 11: 385, 12: 1168, 13: 1192, 14: 3986, 15: 8602, 16: 12006, 17: 19657, 18: 52173, 19: 98072}\n" + "A soma de interacoes medias: 2257.000000\n", + "A soma de interacoes minimas: 53.000000\n", + "A soma de interacoes minimas: 9726.000000\n" ] } ], "source": [ - "print media_galera\n", - "print desvio_galera\n", - "print min_galera\n", - "print max_galera" + "print \"A soma de interacoes medias: %f\" %np.sum(media_galera.values())\n", + "print \"A soma de interacoes minimas: %f\" %np.sum(min_galera.values())\n", + "print \"A soma de interacoes minimas: %f\" %np.sum(max_galera.values())" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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eX758Kxs37EGn0+LkVISAcf0pWrQgkyYt5szpC+j1eipWdGHS5IE4OBRUOm6W\nzH3g8ecdy8WLF+Xs2UsUKJAPvV6PRqOhRo0qTJv2mcKJn8d0A4+7rj6Y4+f+2quxEZO8vmyL46NH\nj/j+++8pXLgwnp6ebNu2jRMnTlCmTBm6dOlC3rx5X/JlzPNgVw/zLY7qYd7FUQ3MvTiqh+mKo9ua\nnBfHUz0tqDgajxzspiXF0fSkOJqaFMfcIsXxZch9jkIIIYzCDPvV5JgURyGEEEYhI+QIIYQQz5CW\noxBCCPEMKY5CCCHEMzQqOq9qhrdeCiGEEMrKpZaj6boOi3/IPs4Nj283EKYjx7KlktOqr0zuWzKt\nSug5q3QIVdOQOVVRaoaMTWoq1tp3AeRYNrF/jmWT/NtSHIUQQoinSXEUQgghnqGi/jhSHIUQQhiH\nmlqO0ltVCCGERZg1axZdu3alc+fO/PTTT4b1Bw8eNEypCLBt2zY6depEly5d2Lx5MwBpaWmMGDGC\n7t2706tXL65du5bta0nLUQghhFGYcl7G6OhoYmJiWL9+PXfv3qVjx460atWKlJQUlixZgqOjIwCJ\niYksXLiQLVu2YGVlRadOnfDw8CAiIoKCBQsyZ84cIiMjCQoKYt68ec99PWk5PiEtLZ3AwGVUqeJF\nXFyC0nFUIyzsEB29h9DW04+ePUZz/vwVAILmrKJN64G09fRj7txQhVNanrS0dGbPDKV61a7cvHkb\ngIUhm2jc4P/wajeM9m0/x6vdMCLCjwKZkyL36BqA5/tD8Ok5gRuxt5SMb5EiwqPp6D2Edm0fH8uP\nHiXhP2Y+bVoPxKNVf7Zv2690TMVoNDlfXqRu3brMnz8fgAIFCpCYmIher2fRokX07NkTa2trAE6d\nOoWrqyv29vbY2tpSs2ZNjh8/TlRUFC1btgSgQYMGnDhxItvXk5bjE3x9p+LqWgmNmk6cK+zGjXgm\nT/qaLd/Nw9m5KKGh2/Efs4DefTpw9Nhptu8IRq/X06uXP3v2HMLDo4HSkS3GYL/ZVHct/68Plu49\nWjPQr9NT61JT0/h8yFwmTPyExk1qsGnjXsaN/ZqlK8blYmLLFheXwJgx8/l2/SzKlSvFt+t2MX5c\nCLVqVSUpKYUfd39NXFwCnTsNp2atqpQs6ah05Fxnys9OjUaDnZ0dAJs2baJp06ZcvnyZs2fP8tln\nnzFr1iwAbt26hYPD4wnqHRwciI+Pf2q9RqNBq9WSlpaGlVXWZVBajk/w8+vKoEHdyJUpLt8QVlZW\nzAkagbMxj3/dAAAgAElEQVRzUQDc3d24ePE6Ybsj6dixBVZWOqytrejg1YzduyMVTmtZBvp+iK9f\nZ17mcL14MZbU1DQaN6kBwIedWnD69AXu3Xto4pTqYW1tRdDckZQrVwqAmrWqcv78FQ4dOkXHji0A\ncHIqQstW9QkPj1YyqmJM2XL8x969e/nuu+8YN24cM2bMYPTo0QDP/dx+3vqMjIxsX+eliqNer+f2\n7dskJKj7VKObm+lujn1TFStWGHd3NyDzNOD334XzXst6XLoUi4tLccN2pV2Kc/FC9hfIxdNc3Spm\nuT4q6r/07D6O9m0/Z/as1aSmpqEB9BmPPyS0Wi3WNtZcuxqXS2ktn4NDQRo1qmF4/J8Dx3Fzq4xG\nA+lPfNDmzWPHlSs3lIioOFMXx4MHD7JkyRKWLl3Kw4cPuXjxIiNHjqRLly7Ex8fTq1cvnJyciI+P\nNzwnLi4OJycnHB0duXUr81JCWloawHNbjfCC4njx4kUGDBiAl5cX7733Hp9++imtWrVi6NChxMXJ\nH5V4eaGh22nU0IfjJ84wfPjHJCYmYWtjbfi9nZ0NjxKTFUyoDlWrlqNly7qsWDWBtd9O5bdfz7N8\n6Q+ULVcSOztbfth6AIAfth7gwf1HJKekKpzYMkVFnSI0dDtjxvwf7g3cWLd2FykpqcTGxvPT3sMk\nJ6coHVF1Hjx4wOzZs1m0aBH58+fHycmJPXv2sH79ejZs2ECxYsVYvXo1rq6u/Pbbbzx48ICHDx/y\nyy+/UKtWLRo2bMju3bsBiIiIoF69etm+XrbXHCdMmMC0adMoXbo0Fy5cYPXq1UyYMIH//Oc/jBgx\ngtWrVxvvnQtV8/Fpj49Pe3btOki3rqOwsrJ66oM5MTEZ+7x2CiZUh2bNaxl+tra2otfHbVm+9Ac+\nHfghXy4YxozpK1m29AdatqzLW2WLUyC/vYJpLdPevYeZPu0bFi8ZR7nypfDz68q0qd/QweszXMoU\np2mTWlhbv5ndOUzZXWPXrl3cvXuXoUOHotfr0Wg0zJo1C2dn5/+9duaL29raMnz4cPr27YtWq2Xw\n4MHky5cPT09PIiMj6d69O7a2tgQGBmb7etn+H0xJSaF06dIAvPXWW5w9mznmYZMmTfjqq69e+80K\n9bsQc424mwmGU6ueno2ZPGkR77xTgcuXbxjWX74cS/nypZWMqgpXrvxFkSIFsbfPA0B6ejpW//ug\nrlqtHKvXTgYgKSmFzZsjcHFxViyrJTp06CQzpi9l2fLJlC1bEgA7O1umTB1k2Gas/wLq1q2uVERF\nmXKEnI8++oiPPvroub8PDw83/Ozh4YGHh8dTv9dqtcyYMeOlXy/b06qVKlVi2LBhrFy5kk8++cTQ\nDPX396dChQov/SLizXX7zt98MWqe4VaDE8fPkJ6egZdXMzZu2E1iYjIPHyaycUMYbds1UTit5Qv5\naiPzv1wPQHJyCps27KVp05ro9Xo++nA0v/0WA8DK5dtp2rQm1jZvZgsnJ5KSkhnrv4CvgscYCiPA\n0m+2MHPmcgDOn79C1OFfea9l9qfs1EqryflibjT6bLpm6vV6wsPDuXTpEpUqVaJJk8wPrz/++IPK\nlSu/Qrdd85+VIyHhLj17jgH4X2cRZ3Q6HStXTsXR0eEFz1aaec/K8e26XaxduxO9HmxsrBg2/GMa\nN67JvHmr2b07Eq1GQ/v2TfH166p01Ocyt1k5EhL+prfPRAAuX7pB6dLO6Ky0LP7GnxnTVhJz/ho6\nKy1NmtZkyNCuWFtbERF+lKDZa0lPT6fK228xbYavoYVpDsx9Vo6dO//DWP8FlCzpBGA4tbd6zXQ+\nHzqL2Nh47PLYMmHCAGrXrqZw2ucz5awc74f9nOPnhr3fyIhJXl+2xdF4zL84WjbzLo5qYG7FUY3M\nvTiqhSmLY5s9OS+OP3qYV3GU+xyFEEKIZ8gFByGEEEahptaWFEchhBBGodWoZ3QxKY5CCCGMwhx7\nneaUFEchhBBGIadVhRBCiGdIy/GVVcqdl3mDmbJ7tnjsn9sNhOnIsSzMgbQchRBCGIVGOuS8KhkE\nwLQqoed3pUOomoa3AUjJOKZwEvWy0dYGkGPZxP45lk1BTqsKIYQQz5AOOUIIIcQz5D5HIYQQ4hlq\nOq2qplawEEIIYRTScnxCeHg0X321jtTUVAoVKsCkSb5UqOCidCyLdv36TVq/74uLizN6feZM4dVd\nKxIYOMSwzWefzeTvuw9YFTpFwaSWZ1/EcRYGbyE1JY2ChfIxfmJfylcoxdUrcQz/fAGFCuVjybIx\nhu1/PXWemdNDefAwkTx57PAb/CGNm8itKS8ru2M5aE4oe/dGo9VqeK9lPYYN66V0XEWoqbUlxfF/\n4uISGDPmS9avn025cqVYt24X48YF8+23s5SOZvGcnIqwc1dwlr/bv/8Yp3+LoVQpp1xOZdlu3rxD\ngP9i1nw7kbJlS7Dh271MmrCMyVP7M2TwXGrXfpurV+Oees6wofOZNOUTGjZy5fy5a/j0nMRPEQvM\nak5Hc5fVsbxz50GOHjvN9h0L0Ov19Oo1lj17ovDwcFcopXLktKoKWVtbMXfuSMqVKwVArVpViYm5\nqnAqdUtKSmbO7FUM/qyb0lEsjpWVjtlBgyhbtgQANWpVIibmOnZ2NixbGYDruxWe2v7vvx8Sf/MO\ndetVBaBCxVLksbPl2rX4XM+uNmFhh+jYsQVWVjqsra3o4NWM3bsPKR1LEVqNPseLucm25ZiamsqW\nLVs4dOgQ8fGZf0SOjo40btyYjh07otPpciVkbnBwKEijRjUNjw8cOIarq4zsYwz3Hzxi8KBAYmKu\nUaqUI6NH96Vc+VKEBG+gQ4fmlChRTOmIFsfBoQANGroaHh88cIrqruVxLl4ky+0LFrSnyttvsXNH\nJN4dm3Li+FmsrHSUK1cityKrQlbH8qWLsXTr1tqwTWkXZzZu3KNgSuWoqeWYbXEcNWoULi4u9O3b\nlyJFiqDX64mLiyMsLIwxY8Ywa5Y6TzlGRZ0iNHQ7oaHTlI5i8ezt89C+fRP69vWmRIlirFjxA76+\n01nw1RdERp5k0+bZHD8uN32/jsNRv7F29W6WrRqb7XYTJvWjf79A5sxcR3JyCrPnDsbaWq6svKxn\nj+WVK7fh6zsdvV6PrY2NYTs7OxseJSYrmFQ5ajoVme1fRnx8PPPmzXtqnYuLC3Xq1KFnz54mDaaU\nvXujmDbtG5YsGW84xSpyrlCh/AQEfGJ43KdPBxaGbKD3x+MJDh6NTqdDrze/UyqWInzvMWZODyVk\n0UjDKdasJCenMHTwPOYtGEKdulW5EHOdvr2nsX7jlOe2NsXTnj2We/f2IiR4PcnJqSSnpBjWJyam\nYJ/XTomIwoiyLY4ajYY9e/bQvHlzrK2tAUhJSSEsLAybJ74pqcWhQyeZPn0py5dPoWzZkkrHUYV7\n9x5w797DpzrcPHyYhK1tOkOGZJ55SElN49HDRLw7DGXrD18qFdXiRB36jdmBa1iybAxvlS2e7bbn\nz18nQ6+nTt3Ma47lypekTBln/vvfGCmOLymrYzk9PYOmzWpx+fJfuLu7AXD5cizly5dWKqaizPHa\nYU5l2wqePXs2+/bto3Xr1jRo0IAGDRrQtm1bjh49SmBgYG5lzBVJScn4+88nONhfCqMR/fe/5+n9\n8Xju3LkHwIYNYZQvX4pfTm7g4M8rOPjzCr766gtq1nxbCuMrSEpKYXzAEuYtGJplYdTr9TzZIC9R\noij37z3i9OmLANyIvUXM+euULy/H+svK6lguWdKRtp6N2bghjMTEZB4+TGTjhj20bddY4bTK0Gpy\nvpibbFuOzs7OzJgxI8vf+fj4EBoaapJQSggPj+bOnXuMGBEEZH64aDQa1qyZgYNDQYXTWa6GDd+l\ne482dOs6Gp1Oi5NTEeYv+ELpWBZvX/hx7t65z+hRIQCG++7aeDZg185DPHyQyIMHiXRoN5J3qpdn\n2owBTJ85kPFjl5CamoZWo2H4yG6Uk+L40rI6lhd89QVly5bk9z8u4u39OVqNhvbtm9CsWW2l4yrC\nHItcTmn02VzwWbt27XOfGBoaSlhY2Eu+jMzKYVoyK4epyawcpiezcuQOU87K8VnUvhw/d4F7cyMm\neX3ZthxXrlyJu7s7jo6O//pdWlqayUIJIYSwPGq65phtcQwJCWHq1KkEBAT8qwNOdHS0SYMJIYQQ\nSsm2OFaqVInFixdjZfXvzUaPHm2yUEIIISyPmq45vvAO4Dx5sh53sVq1akYPI4QQwnK9MYMACCGE\nEC/rjWo5CiGEEC9D86Z0yBFCCCFelrQcX5nMbmFqprx3STz2z714wnTkWBbmQFqOQgghjEI65Lwy\nGSHHtCqRrv9N6RCqptO8A8CjtEiFk6hXXquGAGToTyucRN20GtPdafDGDAIghBBCvCy55iiEEEI8\nQ4qjEEII8Qyd0gGMSE3XT4UQQgijkJbjE8LCIvn6642kpKRSuHABJk4cSMWKZZSOZfF+2LqfZcu2\n8uhhEnXqVGPy1IFoNBqmT1vGkejf0Ov11K33DgHj/g+dTk3fPU1r755jLF28g5SUVAoVzs/Y8b14\nq2xxZgd+y5HDZ9Dr9dSp+zajA3qg1Wo59+c1Zk5fy+2Ee1hZ6fjUtwPvtaql9NuwKN9tCWf5im0A\nODsVYdz4TyhTpjhBQasJ33sErVbDe+/V5fNhPRVOqgzpkKNCN27EM2nSIr77bh7OzkUJDd2Gv/8C\nNm0KUjqaRTt37gqzZq7i+61BODo5MGrkfJYt3YpOp+XOnXvs2LWAlJRUevtMYNOmvXTt+r7SkS3C\nXzduM2PqGtZtHI+TswPr1vzExIDltGpdh6uX49i0dQoZGRl82nc2P3z/Mx0/bMKoYQsZOvwjmjZ/\nl7O/X6Gvzwzq1nub/AXyKv12LMLFC9eZM2c1P2ybR7FihdmwPoyx/sF079GGY0fPsG37l+j1enx6\njWPPnsN4eNRXOnKuU9M1xxyfVp0zZ44xcyjOysqKoKARODsXBcDd3Y1Ll64rnMryRR/+jfru1XF0\ncgCgl09b9uw5TN267zBseOa3axsba2rUrMyli7FKRrUoVlY6ps/qj5Nz5n6tV78qly/HUat2ZUb5\nd0en02JtbUW16mWJOR9LenoGAwd507T5uwBUftsFG1trYmNvKfk2LMr5mKu89VZxihUrDEC9+tU5\nd+4Ke8Ki6NixOVZWOqytrfDq0JSw3YcUTqsMrSbni7nJtjgmJiY+dzl58mRuZcwVxYoVxt3dDYC0\ntHS++y6cli3fvG9+xqbRQHp6huFxnjy2XL3yF27vVqJ0aWcA4m/e4eDBX2jWXEafeVlFixWkXv2q\nQObxum1rJM1b1KDaO2Up81bmfk1PzyA66gzVXcuh02nxaF3X8Px94ScoWNCecuVLKJLfErm5VeLq\n1TjOnbuCXq/npz2HadDQjUuXYint4mzYzqW0MxcvvplfrHWanC8v488//6RVq1asXbsWgLS0NIYP\nH07nzp3p06cP9+/fB2Dbtm106tSJLl26sHnzZsO2I0aMoHv37vTq1Ytr165l+1rZnlatU6cOjo6O\nT63TaDTo9XoSEhJe7t1YmNDQbYSErOett0oQEjJW6TgWr767Kwvmf8v581cpW7YE69ftJjkl1fB7\nn57jOH06ht592lO/fnUFk1qmdWt+4puvt1O6jBPzFgx66nfTJ4fi5OyAR+s6hnW/norhi2Ffo0dP\n4OwBWFvLlZWX5ejowJCh3fmg43Ds7fOQN68dq0In83/9JmNra23YztbOhkePkhRMqhxTtgATExOZ\nOnUq7u7uhnUbN26kSJEiBAUFsWnTJo4dO0b9+vVZuHAhW7ZswcrKik6dOuHh4UFERAQFCxZkzpw5\nREZGEhQUxLx5857/XrILM2rUKNq3b09ERIRhCQ8PJyIiAldXV+O9azPi4+NFdPQ6fHy86NJlJClP\nfJCLV1e+fCnGBvRj+Odz6dZlDBUqlqZA/sfXuELXTOE/Py8j5vw15gatVjCpZeresxX7IhfQvWdL\nPu4xjZSUVNLTMwgY8w03b94laL4fGs3jTyxXt/L8GD6HBQuH8sWIRZz7M/tvz+Kx33+/yOJFW9gb\nvojD0aEMG9YTX98Z5MljS3Ly48+JpMRk8trbKZhUnWxtbVm6dOlTDbZ9+/bRvn17ADp37kzz5s05\ndeoUrq6u2NvbY2trS82aNTl+/DhRUVG0bNkSgAYNGnDixIlsXy/b4ujj40PZsmV59OjRv37XqFGj\nV35z5iwm5ipRUacMj9u2bcKDB4+4cEE+PF6XV4dm/LB9Hhs3z6JCRRcqVipDRMRRbtzIvN5lb58H\n747NiYw89YJ/Sfzj4oUbRB8+Y3jc2rMeDx8kceniX0yZsJLU1HTmh3yGjU1mi+be3w/5ccdhw/aV\nKpemums5jh75PdezW6rDUb9So2YVnJyKANC6TUNizl+jcOECXLl8w7Dd5cs3qFC+tFIxFaXV6HO8\nvPDf1mqxsbF5at3169c5cOAAvXr1Yvjw4fz999/cunULBwcHwzYODg7Ex8c/tV6j0aDVaklLS3v+\n670okLe3N3nz/rs3W2SkusaYvHPnHqNGzeXmzdsAHD9+hvT0DMN1MZEzV678xQcdR3D//kNSU9NY\nsvg7OnZsRkT4EUKCN6DX69Hr9Rw4cJzKleS2mZd15859xo1ZSnz8XQBOnjhHWno6f569yoWYWKbP\n7I9W+/jP28pKR+C0tRw78gcAtxPu8dt/L1Cp0pv5IZ4Tb5Utyclf/uDu3czrWgcOHKdYscJ069aa\nDRv3kJiYzMOHiWzc+BOebdXVeHhZud0hR6/XU758eVavXk2FChVYvHhxlttkJSMjI8v1/8j2gsM/\nFz2zEhcXl+0/bGlq167GwIFd6NMnAL0+swflvHmjsLfPo3Q0i+bi4sx779WlY4fhaLUa2rZrjFeH\nZjRtVpupk7+hnedn6PVQoWJpJk76VOm4FqNmrUr836ftGdBvDnq9HhsbawJnD2Dd6p+4EZtAZ+9x\nhm3dalRgwuQ+BC0YxJdzNvLoURJ6vZ7uPVtRu24VBd+FZWnevDZnzlygW9cxaLUa8uXLy5fzR1Kj\nRmXOnLlAR+9haLVa2rVvTLNmb2bnsty+S7lo0aLUqZN5Tb1Ro0YEBwfTvHlz9u3bZ9gmLi6OGjVq\n4OjoyK1bt6hcubKhxWhl9fwSqNE/r6wCrVq1wt3d/V+dcgC+//57wsPDX/ItyKwcpiWzcpiazMph\nejIrR+4w5awci37fk+PnDnjb46W2Cw4OpnDhwvTo0YNvvvmGIkWK8MEHH7B+/XouXbrE559/jpeX\nF1u2bEGj0fDhhx+yefNm9u/fT3R0NFOmTGHPnj3s3buXWbNmPfd1sm05hoSEMHXqVAICAv51rjc6\nOvql3ogQQog3gylHyDl9+jSBgYHExsZiZWVFWFgYQUFBTJ06lc2bN2Nvb8/MmTOxtbVl+PDh9O3b\nF61Wy+DBg8mXLx+enp5ERkbSvXt3bG1tCQwMzPb1sm05Qmb3WVtb26euX/wTtFq1l/0GIi1H05KW\no6lJy9H0pOWYO0zZclzyR1iOn9u/inmNjvXCm5zy5Mn6mtvLF0YhhBBvgpe9md8SyB3AQgghjMIc\nh4HLKSmOQgghjEKKoxBCCPEMKY5CCCHEM3Qyn+OrqpQ7L/MG+6c3pTCtf3pUCtMxZW9KIV5WLhVH\nuZXDtCqRliHjkpqSlTZzOrO/ErcpnES9nPN4AcixbGL/HMumkOMJgs2QnFYVQghhFHLNUQghhHiG\nFEchhBDiGdIhRwghhHiGtBxVKjw8mq++WkdqaiqFChVg0iRfKlRwUTqWRUpLS2du0FpCV+0kYv/X\nODo6PPX7oUOC+PvvB6xYOQGAmJhrTJm8jISEu1hZWeHn15mWreoqEd1iJMTfY/q49Vy7cot8+ewY\nMqYjFauUZH7gVk6fukR6egZ9BnjQqm1NAC5diGPe9O+5c/s+VlY6eg9oRZMW1RV+F+ZPjuU3kxTH\n/4mLS2DMmC9Zv3425cqVYt26XYwbF8y33z5/ShPxfIP9ZlHdtQKaLL5JHth/gjOnL1Cy1OOp0IZ/\nPo8+fb3o4N2Uc39eoXu3ANwbLJb5NLMxfdx63Bu/TacejTl5LIbv10fiXMKB5KQUVm8dRXzc3wzo\nuYDqNcriXKIwE0etoevHTWndvjYXzv+Fr08wtX+qSF57O6XfilmTY/nlqanlqKaet6/F2tqKuXNH\nUq5cKQBq1apKTMxVhVNZroG+nfD168yzc74kJaUQNGcNfoM+MqzLyMhgoG8n2ns1BqBiJResra24\ndu1mbka2KDfj7nLuj+t07Jp53+W7tcszYWZPjh3+k9ZemRPtFnMqSOMW7/Dz/tNkZGTwcf+WePyv\nFVmugjPW1jpuXL+t2HuwFHIsvzytJueLucm25ZiQkMDy5cv5+++/adeuHfXr1zf8bvLkyYwfP97k\nAXOLg0NBGjWqaXh84MAxXF1l8IKccnWrmOX6hSGb8OrQhBIlihnWabVa3m/tbnj866lzaDQa3nqr\nuMlzWqqYszdwLuHA4vk7ifrP7zgULcCgEe3RaDRkpD/+FLfLY8P1q7fQarU093h8f9uZ/15Bo4FS\nZYpl9c+LJ8ix/PLUNCtHti3HkSNHUqJECRo2bEhISAghISGG350/f97k4ZQSFXWK0NDt+Pt/onQU\nVfnzzyscivyVPn29nrvNjRu3GDVqAWMD+mJra/Pc7d50D+4ncuHcDd6tXZ7VW0fRyrMG44aHUqNO\neb7bEElKShpxN+5wMOI3UpLTnnruzb/uMtV/HUNGd8TW1lqhd2DZ5FjOmlajz/FibrItjqmpqfTo\n0YM2bdqwatUqLly4QHBwMAAvmCPZYu3dG4W//3yWLBlvOMUqjGPq5GX4B/RBp9Oi59/Hz8WLsfTp\nPYlPP/0Az7YyTFt27PPb4VA0Pw2aVAWg3Qf1uH8vkTYd6lDMsSB9O89l3vTvqd+oCvnyP76meOXS\nTYZ+soie/d7jvdbvKhXf4smxnDXtayzmJtvTqlZWVoSFheHh4YFWq2X27NmMGTOGcePG8fDhw9zK\nmGsOHTrJ9OlLWb58CmXLllQ6jqrcuHGLP/+8zLCh8wBISUnl0aMkPug4ku++n01c3G0G9J/OiJG9\naOVRT+G05s+peGEePUx+ap1GA1Y6LaMmdDasmzlxI+/WLg9AfNzfjPJbhu+wdjR5T3qp5pQcy2+G\nbIvj9OnTmT9/Pk2bNsXOzg6tVsvMmTPZtm0bv/zyS25lzBVJScn4+89n4cIAKYwmULx4UQ4fWWl4\nfPTIGRYu3GTo/j550jf4fNxWPkxeUvmKxSlarAA7voum3Qf12LfnFAUK5uXgvtPcuX0f32HtuRQT\nx4no8wwakXnqb+707+jcs7EUxtckx/LzmWPHmpzKtjgWL16cwMDAf6338vJi8+bNJgulhPDwaO7c\nuceIEUFA5mljjUbDmjUzcHAoqHA6y5KQ8De9fSYCma2Z3j6T0FlpWb58PMUcC/9r+/ibd/jPgRNc\nvnSD9d/uyVypgREjetG0Wc1/bS8yTZrjw4xx61m3Yh+FCudj0uxeFHUsyKQv1tCt3Qxs7Wzwn9YV\n+3x2JMTf4/DB37l2OZ6tG6OAzP83A4e2w73J2wq/E/Mlx/KrUVOHHI0+m4uHa9eufe4TQ0NDCQsL\ne8mXkVk5TEtm5TA1mZXD9GRWjtxhylk5Dv61M8fPbezc1ohJXl+2LceVK1fi7u6Oo6Pjv36XlpaW\nxTOEEEK8qd6Y06ohISFMnTqVgIAAbGye7oocHR1t0mBCCCEsi5qKY7Y9aCtVqsTixYuxsvp3DR09\nerTJQgkhhBBKeuHYqnnyZD0eYLVq1YweRgghhOUyx/sVc0oGHhdCCGEUWQ3ObqmkOAohhDAKFdVG\nKY5CCCGMQ1qOr0xmtzA1U967JB775148YTpyLFsuNV1zVNN7EUIIIYwil1qOMkKOaVUiKT1K6RCq\nZqfLnKPvSHzORwAR2atbLHOElKT0wwonUTc7Xf0Xb5RDGjOceiqn5JqjEEIIo1DRJUcpjkIIIYxD\nOuQIIYQQz1BRbZTiKIQQwjjUNLbqG18c09LSmTNnJStX/sCBAytwcipCWlo606Yt4fDhX9Hr9dSr\n58r48Z+i0+mUjmsx9kf8wsLg70lNTaNQoXwETPiY4iWKEjhtDadOniM9LYOBg7xp274BAH/dSGDC\nuOXciE3A3t6OYSO7UKeuzDP4rPS0dDZ8vYPdG//D/O/HU7ho5lyjcddvETwulHwF8/LFvAGG7TPS\nM1g17ztOHTqDtY0173dpQsuODQGI2vsL20J/IiM9g5Jli/OJfxfy5LVT5H2Zq/0RJ545jntTvkJJ\nwvce48ugjegz9FR5uwyTp/0fee3tuBATy7Qpq7h96x5W1joG+HnzXsvaSr8NkQNv/K0cvr5TyZcv\nL5onTpYvX/4dt2//zY8/fs22bV9x9uxFNm7co2BKy3Lz5h3G+S9lVtBAvt8+nTZt6zN54kqWLPqB\npKRkftgZyLLQMcwL2kjs9VsATJ6wkqbN3mXbrkAmTunL6BGLSElJVfidmJ95Y5ZjZ2/31PmrG1du\nMveLZZSr6vKv7bevCef+3Qd8+d14xi8azOHwX3h4P5Fbf91h9ZffMzKoPzPXjqaoc2E2Ld6Vi+/E\n/D0+jn35fvuM/x3HK7h+PZ4ZU1bz9Tcj2RE2G6fiDhw4cBKAkcNC8O7YmO93zGD6rAEEjP6Ghw8T\nFX4nuUfzGou5eeOLo59fVwYN6saTcz7XrVudESN6A2BjY02NGm9z8eI1hRJaHisrHTODBvJW2eIA\n1KhZkZjz14mOOkMH70YAODkVpsV7NdkX8QsPHiRyJPp3PujUFIDKVVwoXqIIR4/8odh7MFfevT34\noO/78ESPeRtba/wX+FKhWpl/bf+fXUfw6tUSgPyF8hEQPAj7/Hn4JfI33qldEYdihQBo2q4eR/bJ\nJGuUA9wAACAASURBVMNP+vdxXImY89fZuf0QLT3qUKpUMQBGftGdNp71ycjI4NOBHQxnQypWLIW1\ntY7r1+IVew+5TaPJ+WJusj2teufOHTZt2oSTkxMdOnRg8eLFnDhxgrJly9K/f38cHBxyK6fJuLlV\n/te6d9+tYvj55s3bHDx4nLFj++dmLIvm4FCABg3fMTw++J9fcXUtz927D0jPyDCsz5PXjqtX4rh6\nJQ6HIgWws3s8Z2ip0o5cuniDho2q52p2c5dVASziVDjLbZMSk4mPvc35M5dZGrgBgLbdm+PeqiY3\nrsbjWLKoYVunkkW4d+cBjx4kkjdf1jPxvGkyj+PHx98/x/G5s1dxci7Cp/83i79u3KZO3SqMHN0d\nW1sbPFrXNWz/66kYNBoNZd5yViK+IsywxuVYti3HUaNGkZKSwvHjx/Hz8+P+/fv4+flRqlQpRo0a\nlVsZFdOz52g8PPrTqpU77u4ypFVOREedYd3qnxg5uhv16ldlw7oIUlJSuRGbQMTe46SkpJKYmIKt\njfVTz7O1tSbxUbJCqdXh0YPM03m3b95l6orhfOLflRVzNnPjyk1SklKxtnn83djK2go0kJyUolRc\nsxYddZp1q/cwcnR37t17RPTh08yc48uGLZO5evUmS5fseGr7v24k4D9qEaMDemFra/Ocf1V93pjT\nqsnJyQwaNIhJkyZx/vx5RowYgaurKz179iQ5Wf0fXGvWBBIZuZqYmKvMmbNS6TgWJ2LvcSYELOOr\nrz+nbLkSfOrbAUenQnTuOI5pU0Jp3MSV/PnzkiePLcnPXF9MSkqRziGvKa99ZguwuVfm6D5lKpbk\n7ZoVOH38HLZ2NqSmpBm2/ednuzy2uR/UzD0+jodRtlwJ8uXPQ/MWNSlUKB92djZ81LUFUZG/Gba/\ndPEG/9c7kP/7tD1tPE03Go050mpyvpibbItjWloa169fR6PREBAQYFj/xx9/kJqq3s4S4eHR3LiR\neZ3A3j4PHTu+R2TkLwqnsiyHD51m9sxvWbRsJG9XzTwVaGdnw4TJfflhZyDBX3/Ow4dJVKhUCpcy\njty9c5/ExMdfuK5cjqN8+RJKxVcFu7y22BfIa2hBAmg1GnQ6LcXLOPLXE9fC/rp6k0JFCpDHXr6Q\nPCnzOF7HomWjDMdx8eJFefDEPtVpteh0mZ/ucXG38f00iKEjuuD9QRNFMgvjyLY4jhw5ktmzZwPQ\nuHFjAPbu3csXX3zB2LFjTZ9OIeHh0QQHf4ter0ev17N//zEqV35L6VgWIykphQkBy5g7fzBvPXG9\nZcWyXQTNWg9AzPnrHDl8huYtamJvn4f6Daqxbs1PAByJ/p2EhHvUqvPv68Hi+TKP16fX1WvxLj+u\n3w/AzdgE/jgZQ9WaFajV+B3OHD/PX//f3p3HRVX1Dxz/zMKwuSQ7qCguaEGKYOVa4opaLmVuCZlZ\nPYFbmoq4pIJrmuWTllsqPuRSavqz1MzUzAX1ccMNFxIlFGSVfT2/P+ZxFFAyYpgBzvv14vVy7ty5\n93uuZ+Z7l7Pc1ibIPZt/o23XVhUcsXHT1uPVfPbFmCL1uLvPi+zdHU58fDIFBYVs3/obbdpqn7HP\nmb2eYX496NqtenbfqEq3VRVCFP86PR0/Pz9CQ0Ofcm3jHHg8MTGFYcOmAHDzZizOzg6oVCrWrQth\nwYI1XLx4AyGgaVNnZs8OwMqqtoEjfhLjGnh890/HmTntG5yctA0+BAIFCtaEBjJpwlfciU3AzMyU\nqdN98WytTYBxcclMn7KKO7GJ1KhpzpRpvrRo2diQxSjCGAYeT01OY+6oZQDcuX0PeycblGol7Xt4\ncWTPKbIyssnKyMHK/hkaPevMB1OHkJ2Zw8q5m4i6fAszC1P6+nWlbTdPbVkOnGPrmj0UFhTS0LUe\nI6cMwtTMcM/HjG3gcW09XvOYejyF/fv+yzerd2FiosbTy5XAqb6kpWXS3Xsczg0cdK0vFSj4aOIg\nXn7Fw4AlKUqfA49fv/9/Zf5sk1qvPfG9zMxMJk+eTGpqKnl5eQQEBNCkSRMmTpyIEAJbW1sWLlyI\niYkJO3fuJDQ0FJVKxZtvvsmAAQPKFE+pyTEsLOyJHwwNDWXv3r1PuRvjTI5Vh3Elx6rIGJJjVWds\nybGq0mdyvPEPkmPjUpJjWFgY8fHxfPTRR8THx/P222/j4eFBp06d6NGjB0uWLMHR0ZG+ffvSv39/\ntm7dilqtZsCAAYSFhVGrVq2/HU+pt1XXrVtHZGQkycnJJf7y8/NL+6gkSZJUzeirn2OdOnVITk4G\nIDU1FSsrK06ePEnnzp0B8Pb25ujRo5w7d44WLVpgaWmJqakpnp6enD59ukxlKbWf47JlywgJCWHa\ntGloNEVvt4SHh5dph5IkSVLVpK9RZXr16sW2bdvo3r079+/fZ8WKFfj7+2Niou0CZm1tTXx8PImJ\niUX631tZWXHvXtkGYSg1Obq6urJixQrU6pKrBQYGlmmHkiRJkvR37Ny5EycnJ1avXk1kZCRTpkwp\n8v6Tng6WsUkN8BSJ3tzcHKWy5Gpubm5l3qkkSZJU9ejrturp06d1PSaaNWvGvXv3MDc3JzdXO2hF\nXFwc9vb22NnZFblSjIuLw87OrkxlqfZjq0qSJEnlQ19dORo0aMDZs9rB3f/8808sLS1p164de/bs\nAWDv3r107NiRFi1acOHCBdLT08nIyODMmTN4eXmVqSzVfsoqSZIkqXzoawDxQYMGERQUhK+vLwUF\nBcyePRsXFxcmT57Mli1bcHJyon///qhUKiZMmMCIESNQKpWMHj2aGjVqlGmfZe7n+PfIrhz6Jbty\n6JvsyqF/sitHxdBnV46YjLJ35ahn+eSuHIZQQclRkiRJqupiM8ueHJ0sjCs5VtBtVXnlqF+uJOWU\nvVJKf83KVPvF7bbniIEjqbr2+bQHICVXTrqsT89oehk6hEpBPnOUJEmSyoUxjpFaVjI5SpIkSeVC\noag6T+lkcpQkSZLKhbxylCRJkqRi9NWVwxBkcpQkSZLKRRXKjTI55ucXsGjROtat28GhQ2uxt7cG\nYN++YyxatI7CQsGzzzZi3ryxWFqaGzjayuFObBIDX11APWdrhNCeTT7n7kxBQSFXLsXozi7T07J5\n3qMhcxf7UVBQyOK52zl6+DIaUzWDh73M64PaGbYgRigz4gypu3dAQT5KyxpYDfRFbetA8tZvyb5+\nBYTArGlz6gwYhkKpJDc2huStYRSk3UehVFG7Z18sWmpHDEk/eoi0Q78gRCFqKxushgxHXbuOgUto\nPO7EJjGg91zqOdvwoCK7uTsTNGsQn83fzn9PXEMI8HqxCR8HvYFKpaRfj9mo1CrUapXuM5t3yHGo\nK6Nqnxz9/UNo0cIVxSP3A2Ji4pg162s2blxA/foOzJu3moMHT9K798sGjLRysbOvzcYfJpW6zoSA\n1bza7wUANqz5lZTkdH74eRopyRlMGb+ebj1bUbOWPCF5ID81maRvv8F+XBAm9o6k/X6ApE3rMXNr\nSWFGGk5BcxD5ecT9eyHpRw9Rs4M3CWuX80zfgVi4e5Abc4u4pfMwa/oseQlxpO7ZicPET1DVrEXy\nji2k7PgOG7/3DV1Mo2JnX7tEclu/+hdSktPZvHMKubn5+I9Yxo6tx3h9YHtQKFi+xh97h+p5klGV\nxiP922Xx9fXVRxwGExAwmFGjhhQZvX3nzoP4+LSjfn0HAKZMGSkTYzk7dvgyeXkFtOv4LAC7dpzk\n7ZFdAHimjiVfrfWXibEYhUqF9dsfYGLvCIBpo6bkxd3BrGlznnlNO9u5Qm2CaaOm5MffRRQWUrtX\nPyzctbPQa+o5o1CbkJ+cgKpGTazf/gBVTe0ksKaNXcmLizVMwSoZzxeaEDDuVQA0GjUtWrkQ/Ue8\n7v3qPKyKvgYeN4RSrxybN2+OnZ0dJiYmuuRx7949OnfujEKhYP/+/RUSpD61bNmsxLIrV/7AycmW\nESOmExt7j5deakFQ0EhMTTWP2YL0OOnp2QR+tI6bUfE41bVizMQ+NHR5ODr+6q9+ZszHfQDIyswh\nNiaJixG3mDNzCwDDhnvTvVcrg8RurFQ1amHe3F33OvvSeTQNXDBt2Fi3rCA1hexLEdR5YygKpRLL\nVi/q3ss8fxqlpSUmDk4oVGrUVjaPbCsC0waNKqYglUh6ejaTx33Dzag4HOtaM25iX55v2VD3fsK9\nVI79fpkJga/rlv178U5uRsVhambCO+93o2Mn98dsuaoywixXRqUmx1WrVrFy5UqGDRtGjx49AO0A\nsJs3b66Q4AwlLS2Do0f/ZP36OZibm+LvH8LXX29h7Nhhhg6tUrCwNKNHb0+Gvv0KDo512Bh6iMlj\n1rJxx0SUSiWnT14HoKWnCwBpadkAxN1NIXTLeK5FxvLhO8tp/lw9nBvaGqwcxiw78hJph/ZhN+rh\nreu4pfPJvX2Tmt49MHN9Vrc85+YNEtZ+BQhs3v4XClXRr33GyaNkXYnA4aNpFRV+pWBhaYpPby/e\nGu6Ng2Mdvl1/kIlj17B5RyBKpZJ/Df+Sy5duM9SvE61fagpA956etG3fnFatG3P2dBTjA1axYcsE\n6ta3+Yu9VQ2KKpQcS72t2rFjR9asWUNkZCQBAQHcvn27yLO5qqpmTQu6dm1DnTq1MDMzZciQXhw5\nctbQYVUatWtbMD6wHw6O2ucuQ/xeISkpjVvRCQD8/NMZuvV8eFVYo6YZAP0GaAdEbtrMCc/WjTl1\n4loFR145ZJ4/TeLGtdh+ME53ixXAfkwgdUM+J+9uLCk7v9MtN23YmLqzFmH7/jgS1n1NbmyM7r20\nw7+Suvf/sB81SXeLVdKqXduSCVNe19XjoW93IikxjVs3tfMFfr1uFLsPzuaPqLssW6IdvtF/bG9a\ntdZeyXt4NsKzdRPCj0UapgAGoFAoy/xnbP4yIo1Gw5gxY/j4448JCQkhKSkJgPv37+s9OENxcrIj\nLS1T91qpVD52wmfp8dLuZ3Hnz6QiywoLBGq19hgeOXxZ96wRwMLClFq1zUlLy9ItU6oUqOQxLyE7\n8iLJ2zdh5z8BTb0GgLYFa36y9ngrTc2o8WJ7siIvUpiZScaphzNcaOrWR9OwETnXLgOQHv476b8f\nwH5MYJFbrJJW2v0sYh9Tj08ciyTubjKgrbuv9n2R8GOR5OcVEHXjbpH1CwoKtC1XpUrnqX99XFxc\nWLFiBRs2bABg1KhRegvK0Hr27MDu3YeJi0ukoKCA77/fR7t2LQ0dVqVx+eJtRo38mtSUDAB++P44\nDo7PULeeNUmJaSQnpZe4XdqlhwcbQw8BEBuTyJlTUXi+0LjEtquzwtxcEr9di+27AZjYOeiWZ0Wc\nIXXPDoQQCCHIunQejVN9UClJ3hpG9rUrABSk3Sc3OgqTus7kpySTumsrth9+hKpWbUMVyahdunCL\ngHeX6erx9u+O4uBUh6uRsaxavld3vI/8dokmrnXJyspl5LAvuHThFgDXr8YScfYmL7RxNWQxKpi+\npjuueKU+cwwLC3vie3FxceUeTEVLTExh2LApACgUCvz8glCpVKxbF8KoUUMYMmQSJiYmtG79HO+/\nP8DA0VYeL7Z15Y3B7Xjf90uUKgW2drWZ+9nbKBQK7sXfp45VyclHAz7qTcj0zfTvEYKFhSkTpvSn\nfgP5vPFRWRfOUJiRTkLoyiLL7cdMJnnrRu7MnQoITBzqYjXID6WpGTbvjiJlxxYKc7JBCGq+0g2z\nJs1I3fcjhbm5xC9frNuOQqnCMXB2BZfKeL3UrhkDhnRgpO8XKJVK7OxqM/+zd7CyrsnCkO8Z1Gc+\nAkGjxg4EzhhIzVrmzF38NnNnbiYvNx9TMw2z5g/D0cnK0EWpMFXpmWOp8zl269aNtm3bYmdnV+K9\n7du3/43WqnLKKv2SU1bpm5yySv/klFUVQ59TVqXm7i3zZ2trepRjJP9cqVeOy5YtIyQkhGnTpqHR\nFO3GEB4ertfAJEmSpMrFGBvWlFWpydHV1ZUVK1agVpdcLTBQDokkSZIkParq3Fb9y+HjzM0fP0qJ\nm5tbuQcjSZIkScag2o+tKkmSJJWPqtQgRyZHSZIkqVzI5ChJkiRJJVSdBjmlduWQJEmSpKeVkX+o\nzJ+1VL9SjpH8c/LKUZIkSSon8rbq3yQHAdAvV84l7TJ0EFVaSyvt/H3mzkMMHEnVlXVrIwAXkmVd\n1if3Oq8aOoRKQV45SpIkSeVCNsiRJEmSpBKqToMcmRwlSZKkciGvHCVJkiSpGIWi6iTHqnMNXEb5\n+QXMn7+G5s37EBeXqFu+aNE6fHz+Ra9e/nz2WagBI6w8CvILCF26k0HtPibpXqpuedjyXYwbNJ+P\nhizk268ezrhw6/odZvov56MhC/l42CLCD57XvffDhl8ZP3QhAf1DCF26s0LLYex8Orci42YY9Z2s\n+ebzAM7sX8Tp/Z9yev+nRJ1cTthXY3XrDnm9A/GXvmFQ33ZFtvFxQF/O7F/Ef3/5lG+/Hoetda2K\nLobRKsgvYN0XOxnQtmg93rBsF6MHzWfs4IWEfVV05pCDu0/xVucgDu89XWR5dlYOn8/4DwPbT6yQ\n2A2v6sznWO2To79/CDVqWBQ54/nxx984deoiu3YtY8eOpZw4EcHPPx81YJSVw8LJazG3NC1Sz4/s\nO8PlM1EsDpvIpxsmcOn0dV0S/Gzqel4d8gpLNk5i1IwhLAveREZaFmeOXebArhOErBrD0u+mEHUl\nhsN7/2ugUhkXM1MTZk8eTGJyOgAjxi2jVZeP8ewyEc8uEzl74SahW7R9zSZ8+Br9e77I1RuxRbbh\n3cEd3wEv0+G1qXh1ncj1P+4yf/qwCi+LsZo/aS0WlqY8ehH0+74zXD4bxedhE1n8nwlcPH2d4we0\n9Xh76K8cP3Ceug1KTu0X9N6/sXOyrlJXVNVFtU+OAQGDGTVqCI+OhbB37xH69++CWq3CxERNnz7e\n7JHz+P2lASO68ea7PeCRYSWOHzhPp94voFKrUKtVvNyzNcd+PUdhQSED3/OhdUftAPYNXetiolFz\n724yESev8eIr7lhYmqFSq+jxRnvCD0QYqFTGZdr4AXy79TfSM7JKvNe9U0s0GjV7D5wF4OCRiwx8\n7zPSM7KLrOferD6nz0eRkZmjXe/oRZ5tWk//wVcSb47oxsCRPXh0eJRjvxarxz6tOfrrOQCeb92E\nwIUjMDPXlNjWvwLfpGvflyoqdINToCzzn7EpNaJDhx6OdpCSkkJwcDC+vr4EBweTlJSk9+AqQsuW\nzUos++OPWJydHXWvnZ0diIqKqciwKqWmbg1KLLtz6x72da1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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "sns.set()\n", + "# Draw a heatmap with the numeric values in each cell\n", + "sns.heatmap(tabela, annot=True, fmt=\"d\", linewidths=.5,cmap=\"YlGnBu\")" ] }, { "cell_type": "code", - "execution_count": 57, + "execution_count": 8, "metadata": { "collapsed": false }, @@ -112,18 +292,18 @@ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 57, + "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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OItK2JJPw2mvwy1/C88+HsqFD4eqr4bzzoLQ03viaUVVVNbMXrKHDvqczZsyh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\nU0Nxmdn3gcsIK3f/xd13On9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H8Xft2pVx48ZV681XrVpFt27duO2220hPT+fWW2+lZ8+ejB49mquuuopZs2axZMkShgwZ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\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -134,12 +314,207 @@ "plt.plot(media_galera.keys(),media_galera.values(),'ko')\n", "plt.plot(min_galera.keys(),min_galera.values(),'b-')\n", "plt.plot(max_galera.keys(),max_galera.values(),'r-')\n", + "plt.errorbar(media_galera.keys(),media_galera.values(), yerr=desvio_galera.values())\n", "\n", + "plt.xlabel('Numero de Amigos')\n", + "plt.ylabel('Numero de Jogadas')" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "collapsed": false, + "scrolled": true + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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ezftfHeD8JSvVyoUytHt9oiNkvv6SrtCSnzRpEpcvX6Zp06YoisKqVavYs2cP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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(media_galera.keys(),media_galera.values(),'ko')\n", + "plt.plot(min_galera.keys(),min_galera.values(),'b-')\n", + "plt.plot(max_galera.keys(),max_galera.values(),'r-')\n", + "\n", + "plt.yscale('log')\n", "plt.errorbar(media_galera.keys(),media_galera.values(), yerr=desvio_galera.values())\n", "plt.xlabel('Numero de Amigos')\n", + "plt.ylabel('Numero de Jogadas')\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "collapsed": false, + "scrolled": true + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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hoU6dOiVJKioq8nRQAAAgeylF/oYbbtCJEyf09NNPa9OmTXr55Ze1YMECr8cGABljRek/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\nVlY6v5eRkYHVq1cjJycHq1atwrJly1od78GDB/GrX/0K48aNwzfffNP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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Set up the matplotlib figure\n", + "f, (ax1, ax2, ax3) = plt.subplots(3, 1, figsize=(8, 16), sharex=True)\n", + "sns.set(style=\"darkgrid\")\n", + "\n", + "x1 = np.array(max_galera.keys())\n", + "y1 = np.array(max_galera.values())\n", + "sns.kdeplot(x1,y1, cmap=\"Greens\", shade=True, shade_lowest=False,ax=ax1)\n", + "ax1.set_ylabel(\"Maximo\")\n", + "\n", + "x2 = np.array(media_galera.keys())\n", + "y2 = np.array(media_galera.values())\n", + "sns.kdeplot(x2,y2, cmap=\"Blues\", shade=True, shade_lowest=False,ax=ax2)\n", + "ax2.set_ylabel(\"Medio\")\n", + "\n", + "x3 = np.array(min_galera.keys())\n", + "y3 = np.array(min_galera.values())\n", + "sns.kdeplot(x3,y3, cmap=\"Reds\", shade=True, shade_lowest=False,ax=ax3)\n", + "ax3.set_ylabel(\"Minimo\")\n", + "\n", + "plt.xlabel('Numero de Amigos')\n", "plt.ylabel('Numero de Jogadas')" ] }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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EYWFZ76OGE9JDUmrqmF7vS+QBALhCIxOHKdUzMtJjfA7vyQMAYCgiDwCAoSyP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\nH6+BAwcamiklJUWtW7c2NEPfvn21ZMkSQzNIUml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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Set up the matplotlib figure\n", + "f, (ax1, ax2, ax3) = plt.subplots(3, 1, figsize=(8, 16), sharex=True)\n", + "sns.set(style=\"darkgrid\")\n", + "\n", + "\n", + "x1 = max_galera.keys()\n", + "y1 = max_galera.values()\n", + "sns.barplot(x1, y1, ax=ax1)\n", + "ax1.set_ylabel(\"Maximo\")\n", + "\n", + "\n", + "x2 = media_galera.keys()\n", + "y2 = media_galera.values()\n", + "sns.barplot(x2, y2, ax=ax2)\n", + "ax2.set_ylabel(\"Medio\")\n", + "\n", + "\n", + "x3 = min_galera.keys()\n", + "y3 = min_galera.values()\n", + "sns.barplot(x3, y3, ax=ax3)\n", + "ax3.set_ylabel(\"Minimo\")\n", + "\n", + "plt.xlabel('Numero de Amigos')" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "collapsed": false, + "scrolled": true + }, + "outputs": [ + { + "data": { + "image/png": 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aaIVmk8jwsiyLv7eHWOv18ZdmP1Gr7zGnAdNLPMytzmV8jith+8w/8yraX76f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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "sns.set(style=\"darkgrid\")\n", + "g = sns.lmplot(x=\"minimo\", y=\"maximo\", hue=\"media\",data=tabela, size=7)" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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Bvx97a8mvLevKmojqxzRNBEIqLNEJWebv10SNJBLPYnwqiokpFadm4zBMCwDw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\nIJXJIacZsITCOWhIChzLXKHN5nW8djq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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "sns.set(style=\"darkgrid\")\n", + "g = sns.lmplot(x=\"minimo\", y=\"maximo\", data=tabela, size=7)" + ] + }, { "cell_type": "code", "execution_count": null, From 67e8b182518d57d11607bbba6a70578dddcf1ce8 Mon Sep 17 00:00:00 2001 From: Hill Bruno Date: Tue, 5 Jul 2016 15:09:34 -0300 Subject: [PATCH 2/2] Aplicando paralelismo, pandas e seaborn v.2 MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Essa versão está mais enxuta E com aplicações mais contextualizadas. --- zezinho.ipynb | 415 ++++++++++++++++++++++++++++++++++---------------- 1 file changed, 281 insertions(+), 134 deletions(-) diff --git a/zezinho.ipynb b/zezinho.ipynb index 85f2618..2911464 100644 --- a/zezinho.ipynb +++ b/zezinho.ipynb @@ -80,6 +80,13 @@ " return " ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Vamos agora verificar a diferença no tempo se rodarmos o código em série e utilizando paralelismo:" + ] + }, { "cell_type": "code", "execution_count": 3, @@ -91,8 +98,8 @@ "name": "stdout", "output_type": "stream", "text": [ - "Serial time: 1.010347\n", - "Parallel time: 0.591333\n" + "Tempo em série: 1.041189\n", + "Tempo em paralelo: 0.540836\n" ] } ], @@ -100,13 +107,20 @@ "if __name__ == \"__main__\":\n", " start = time.time()\n", " map(jogo, [3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15])\n", - " print \"Serial time: %f\" % (time.time() - start)\n", + " print \"Tempo em série: %f\" % (time.time() - start)\n", "\n", "\n", " start = time.time()\n", " pool = Pool(processes=4)\n", " pool.map(jogo, [3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15])\n", - " print \"Parallel time: %f\" % (time.time() - start)" + " print \"Tempo em paralelo: %f\" % (time.time() - start)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Agora iremos criar uma tabela, a fim de melhorar a vizualização global dos nosso dados:\n" ] }, { @@ -122,19 +136,19 @@ "output_type": "stream", "text": [ " minimo media maximo desvio\n", - "3 1 1 4 0\n", - "4 1 1 5 1\n", - "5 1 3 12 2\n", - "6 1 3 10 2\n", - "7 1 9 40 8\n", - "8 1 16 53 12\n", - "9 1 30 159 29\n", - "10 2 54 218 50\n", - "11 3 93 323 80\n", - "12 2 142 692 142\n", - "13 13 290 1160 262\n", - "14 16 576 2332 535\n", - "15 10 1039 4718 1011\n" + "3 1 1 3 0\n", + "4 1 2 10 1\n", + "5 1 3 13 2\n", + "6 1 5 17 4\n", + "7 1 7 38 6\n", + "8 1 13 68 14\n", + "9 1 29 132 27\n", + "10 1 51 348 67\n", + "11 1 69 321 68\n", + "12 3 195 840 176\n", + "13 16 339 1804 344\n", + "14 20 647 3903 772\n", + "15 1 989 3961 887\n" ] } ], @@ -145,6 +159,13 @@ "print tabela" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Se não quisermos mostrar toda a tabela, mas sim apenas observar o número de colunas ou como está organizada as primeiras linhas da nossa tabela, podemos usar o \".head()\"" + ] + }, { "cell_type": "code", "execution_count": 5, @@ -172,36 +193,36 @@ " 3\n", " 1\n", " 1\n", - " 4\n", + " 3\n", " 0\n", " \n", " \n", " 4\n", " 1\n", - " 1\n", - " 5\n", + " 2\n", + " 10\n", " 1\n", " \n", " \n", " 5\n", " 1\n", " 3\n", - " 12\n", + " 13\n", " 2\n", " \n", " \n", " 6\n", " 1\n", - " 3\n", - " 10\n", - " 2\n", + " 5\n", + " 17\n", + " 4\n", " \n", " \n", " 7\n", " 1\n", - " 9\n", - " 40\n", - " 8\n", + " 7\n", + " 38\n", + " 6\n", " \n", " \n", "\n", @@ -209,11 +230,11 @@ ], "text/plain": [ " minimo media maximo desvio\n", - "3 1 1 4 0\n", - "4 1 1 5 1\n", - "5 1 3 12 2\n", - "6 1 3 10 2\n", - "7 1 9 40 8" + "3 1 1 3 0\n", + "4 1 2 10 1\n", + "5 1 3 13 2\n", + "6 1 5 17 4\n", + "7 1 7 38 6" ] }, "execution_count": 5, @@ -225,20 +246,28 @@ "tabela.head()" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Se quisermos somar todos os número de uma coluna podemos utilizar \"np.sum()\"" + ] + }, { "cell_type": "code", "execution_count": 6, "metadata": { - "collapsed": false + "collapsed": false, + "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "A soma de interacoes medias: 2257.000000\n", - "A soma de interacoes minimas: 53.000000\n", - "A soma de interacoes minimas: 9726.000000\n" + "A soma de interacoes medias: 2350.000000\n", + "A soma de interacoes minimas: 49.000000\n", + "A soma de interacoes minimas: 11458.000000\n" ] } ], @@ -248,17 +277,25 @@ "print \"A soma de interacoes minimas: %f\" %np.sum(max_galera.values())" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Podemos criar uma tabela através do seaborn onde podemos evidenciar através do uso de cores, onde estão os valores mais altos da nossa tabela e onde estão os mais baixos. Para isso podemos utilizar o \"sns.heatmap()\"" + ] + }, { "cell_type": "code", "execution_count": 7, "metadata": { - "collapsed": false + "collapsed": false, + "scrolled": true }, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, "execution_count": 7, @@ -267,9 +304,9 @@ }, { "data": { - "image/png": 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eX758Kxs37EGn0+LkVISAcf0pWrQgkyYt5szpC+j1eipWdGHS5IE4OBRUOm6W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\nzUos++OPWJydHXWvnZ0diIqKqciwKqWmbg1KLLtz6x72da1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WxtXNmRUrsqbw2bRpNwUL5qNePR+2bt0PQEZGBjt3HKJChVJKRlWdokVd+eOP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\nYhix95Pw81nx+C9LQOz9RKbM96LNq030UwAD9Xa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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -282,17 +319,25 @@ "sns.heatmap(tabela, annot=True, fmt=\"d\", linewidths=.5,cmap=\"YlGnBu\")" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Quando geramos os plots, eles são plotados com as grids automaticamente, assim como outras configurações por default. Pois quando nós utilzamos a biblioteca seaborn, isso é feito automaticamente." + ] + }, { "cell_type": "code", "execution_count": 8, "metadata": { - "collapsed": false + "collapsed": false, + "scrolled": false }, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, "execution_count": 8, @@ -301,9 +346,9 @@ }, { "data": { - "image/png": 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qxdChQ7Hb7UyaNImxY8dis9mYOHEi0dHRDB48mDVr1jBq1CjcbjfTp0+vcQYR\nEWl4gqfw3aEJe2pblcV/3nnnUVpaelLFP2LECEaMGHHU8jfffPOoZYMGDTpi/z+AzWY75eMLRESk\nYXGkpeJatwbPgMvxd+5idZxGp1qn8w0cOJCOHTsesY//3XffDWkwEREJT5Gvlq3tF42v+rRxqbkq\ni3/8+PF1kUNERATbvnTc//4Xvs5d8F420Oo4jVKVxe/3++sih4iICJFvzMXw+cqm562HE/Y0BlUW\n/5w5c4L3vV4vW7dupWfPnvTu3TukwUREJMwUFhIx700CzZtTcsPRx4dJ7aiy+OfPn3/E4+zsbGbO\nnBmyQCIiEp4i3n8PW04OhZMehvJZX6X2VeuyvJXFx8ezffv2UGQREZFwFQgQOXcOpstF8a1/sjpN\no1blGv/kyZMxKu1n2bdvHzZbjX9fEBEROS7XpytwbN9G8U2jMRMTrY7TqFVZ/H36HL7ikGEYREdH\n07dv35CGEhGR8BKcsGfcXRYnafyqLP6hQ4fWRQ4REQlT9k3f4vrqCzyXDsB/bler4zR6xy3+gQMH\nHrGJv2LKXY/HQ1ZWFj/88EOdBBQRkcatScXa/p1a268Lxy3+VatWHbXss88+Y+bMmdxwww0hDSUi\nIuHBlrEf99LF+M4+B8+AK6yOExaqvsYtsHPnTp555hmcTidz587ljDPOCHUuEREJAxFvzsXwesv2\n7evA8TpxwuIvKirilVde4fPPP2fy5Mn079+/rnKJiEhjV1RE5FtvEIiLo2T4SKvThI3j/nr10Ucf\ncf311xMbG8vSpUtV+iIiUqsiFi3AdugQxX+8DSIjrY4TNo67xv/ggw/Srl07vvzyS7766qvg8oqD\n/ObNm1cnAUVEpBEKBIh87RVMp5MSTdhTp45b/CtXrqzLHCIiEkZcqz7FsfVnSm4cRaDF6VbHCSvH\nLf7WrVvXZQ4REQkjka+WXQCuSBP21DkdQikiInXKvvk7XF+sxtOvP/7zulkdJ+yo+EVEpE5Fzi1b\n2y8eN8HiJOFJxS8iInXGyMggYslCfB3PwnPFVVbHCUsqfhERqTORb72O4fFQfMcETdhjEf3URUSk\nbhQXE/nW6wROO42SETdZnSZsqfhFRKRORCxZiC07m5JbxkJUlNVxwpaKX0REQs80yybscTgoHqsJ\ne6yk4hcRkZBzrl6J46cfKf39DQRatrI6TlhT8YuISMg1eXU2AMXjNWGP1VT8IiISUvYfvsf131V4\n+lyCL+nef0FGAAAgAElEQVR8q+OEPRW/iIiE1OEJe7S2Xx+o+EVEJGSMzEwiFr+Pr30HPIOutjqO\noOIXEZEQinzrdYzSUorvuBPsdqvjCCp+EREJlZISIv/xOoHYZpTceLPVaaScil9EREIi4l+LsGVl\nUjLmjxAdbXUcKafiFxGR2meaRL42p2zCntvHWZ1GKlHxi4hIrXN+8V8cP2ym9LrfE2jV2uo4UomK\nX0REal1kcMKeuy1OIr+m4hcRkVpl3/IT7pWf4r2oN77ze1odR35FxS8iIrUq8rWyCXuKtLZfL6n4\nRUSk1hjZ2UQs+if+M9vhuXqw1XHkGFT8IiJSayLffgOjpEQT9tRjKn4REakdpaVEvPl3AjFNKblp\ntNVp5DhU/CIiUivcSxdjP5BByZg/YkbHWB1HjkPFLyIip840afLaHEy7XRP21HMqfhEROWXOr77A\nsXkTpdcMIdDmDKvjyAmo+EVE5JRFvvYKAMXj77I4iVRFxS8iIqfEvvVn3J8sx/ubXvguuNDqOFIF\nFb+IiJySyLnlE/bcqQl7GgIVv4iInDTjYDYR77+H/4y2eH57jdVxpBpU/CIicnIKCmg64U8YxcUU\n3z4eHA6rE0k16E9JRERqzMjKIvbmYThTUyi9YhDFt95udSSpJq3xi4hIjdh+2Umza67EmZpCycib\nyXv7nxARYXUsqSYVv4iIVJt907c0+92VOLZvo+jeSeS/PAecTqtjSQ1oU7+IiFSL88vPafqHURiF\nBeQ/O4OS28dbHYnJc9ZitxtMH9fb6igNhtb4RUSkSu5//4vYm27A8JSSP/cf9aL0rbZ06WKWzRnP\nvCcH079/b5YuXWx1pGoJefFv2bKFK6+8knfffReA/fv3M2bMGEaPHs3999+P1+sFYNmyZQwbNowb\nb7yRxYvLfng+n48HH3yQUaNGMWbMGPbs2RPquCIi8isRr79KzB23Yrrc5P5zCaVDrrc6kuWWLl3M\nuHFjOXRgJ6YZ4IcfNjNu3NgGUf4hLf7i4mKeeeYZevc+vAnm5ZdfZsyYMbzzzju0bduWJUuWUFxc\nzJw5c3j77beZN28eb7/9Nnl5eXz00UfExsby3nvvMX78eGbOnBnKuCIiUplpEvXMn4l59CECCYnk\n/Ps/ePv1tzpVvfDSS2V9dFavYfzmuimAAcDLL79oYarqCWnxu91uXn/9dRITE4PLvvnmGwYMGADA\ngAEDWLt2LWlpaSQlJREVFYXb7aZnz54kJyezbt06rrjiCgD69OlDSkpKKOOKiEgFr5eYe+6kyV9f\nxNehIzn/9yn+bklWp6o3ft76M90HTaTzJaOJOq01hlFW/Fu2/GhxsqqF9OA+m82Gy+U6YllxcTHO\n8iNA4+PjOXDgANnZ2cTFxQWfExcXR2ZmJllZWcHlhmFgs9nw+Xw4NEmEiEjoFBbS9E9/wP3ZJ3h7\n9CT33cWYzZtbnareKPH4uHTkMzRJOIec/T/zzdJnMM0AAOec09nidFWztEFN06zR8kAgUK33TUiI\nOelMDV04jx00fo1f4z9lWVkw8vfw9ddw9dU4Fy2ieXT0qb9viNjtZWvadfVnfyi/hBffSaZJwjkc\n2JFM8kfP4/eWBL//+ONT6/3fwzov/qioKDweDy6Xi4yMDFq0aEFiYiKZmZnB52RkZNCjRw8SExPJ\nysqiU6dO+Hy+ssDVWNvPzMwPWf76LCEhJmzHDhq/xq/xn+r4bbt+IfbGoTi2baVkxE3kz5oNxSYU\n19+fq99vYrcbdfJnn3GwiBcXbiQzp4RLkloSe057fl7bkpzMXXTp3IV7732Ayy//XZ3/PazpLxp1\nXvy9e/dmxYoVXHvttaxYsYJ+/fqRlJTEY489RkFBAYZhkJqaytSpU8nPz2f58uX07duXVatWcdFF\nF9V1XBGRsGD/bhOxI6/HfiCDorvvo/DxJ6F8v7XA9vQ8XlqURkGxl2v7tOP3/dpjGF343/5WADw/\noY/FCasvpMW/efNmpk+fTnp6Og6HgxUrVvDCCy8wZcoU3n//fVq1asXQoUOx2+1MmjSJsWPHYrPZ\nmDhxItHR0QwePJg1a9YwatQo3G4306dPD2VcEZGw5FzzJU1vuQlbfh4FT0+jeNxdVkeqV9K2ZvG3\nf3+H1xfglqs7cdn5ra2OdEpCWvxdu3Zl/vz5Ry1/8803j1o2aNAgBg0adMQym83GtGnTQpZPRCTc\nuT78gKZ33g6mSd5rb1I6dJjVkeqVL9LSmbf8Jxx2g7uv70aPsxOsjnTKdHi8iEiYinhjLtGPTsZs\nEkXeW+/i7T/A6kj1hmmafLhmJx98tYPoSCf3DEvirNaxVseqFSp+EZFwY5o0mf40UbNeIJCQSO4/\nF+NLOt/qVPWGPxBg/ootfJGWTvPYCO4f0Z2W8VFWx6o1Kn4RkXDi8xH94L1EvjcfX/sO5L6/lEC7\n9lanqjdKvX5e+/dmNm7Nom2LaO4f3p3YaLfVsWqVil9EJFwUFZVNzPPpCrzde5D73mLMhIa/z7q2\n5Bd5eHnxt2xPz6Nru9OYMLQbke7GV5ONb0QiInIU42A2sTePwJm8Hs9lA8l98x2oxxPz1LUDOcXM\nen8jGYeK6d21BbcO7oLD3jgvYKviFxFp5Gy7d5VNzLP1Z0puGEH+y3PgV9Oph7Nf9ucza1EaeYUe\nBl98Jjf07xCce78xUvGLiDRi9u83l03Ms38fRXdOpPD/expsjXNN9mR8tyObV5Z+h8fj5+Yrz+Hy\nC9pYHSnkVPwiIo2Uc+1XZRPz5OVS8Oe/UDxhotWR6pU1m/bx1n9+xDAMJgw9jws6JVb9okZAxS8i\n0gi5Pvw3TSfcDn4/eXP+TumwG62OVG+YpsnH//uFJZ9vp4nbwT3DkjjnjGZWx6ozKn4RkUYm4h+v\nEz1lUtnEPPMW4B1wudWR6o1AwOTdz7awOmUvcU3d3D/ifFo3bzzn6FeHil9EpLEwTZo89wxRLz5P\noHlzcv+5BF/3Hlanqjc8Xj9zP/yelC2ZtEmI4v4R53NaTOM6R786VPwiIo2Bz0f0pHuIfOdt/Ge2\nI+f9pQQ6dLQ6Vb1RUOzlr0u+ZeueXDq3bcbd1yfRJCI8KzA8Ry0i0pgUFcHto4lctgxv0vllE/Mk\nhseBatWRnVvCiws3si+7iF5dErntd+fidITvmQ0qfhGRBsw4cIDYW2+G9V/juXQAeW+9gxkdY3Ws\nemNXRj4vLUojp8DDoAvPYMTAs7A14nP0q0PFLyLSQLk+XU7MvROwZWXByJHkvjBbE/NU8sPOg/y/\nf22ixONn5MCzGNSrrdWR6oXw3dYhItJQFRUR/fADxN48AiMvj4Knp8G776r0K/nf9/t5cWEaPn+A\n8UO6qvQr0Rq/iEgDYt/0LU3vvA3Hlp/wde5C3t/ewN/1PKI1G1/Q8q93sXD1ViLddu6+PokuZ55m\ndaR6RcUvItIQBAJE/m02Uc8+ieH1UvSn8RQ+9iRERlqdrN4ImCYLV23lk/W7aRbt4oER59MmURci\n+jUVv4hIPWfbl07M3eNxfflfAgmJ5P11Dp7LB1kdy3JLly5m2ZynyMnaxboF59Fv2FTS8920ah7F\n/cO7Ex8bYXXEeknFLyJSj7k+WkbMpInYDh2idNDV5M96BTMhwepYllu6dDHjxo0FwOGOotm5I0jP\ndxMX6eWR0T2JinBanLD+UvGLiNRHBQVEPz6FyHfnYUZGkv/ci5T88TYI81PRKrz00kwAmsS24DdD\nHqVp8zPZt2UtO3Z+QtS9V1mcrn5T8YuI1DOO1GRixt+GY8d2vOclkf/qG/jP6WR1rHplxy976HLp\nrbQ7fzB2h5Mdqf/H5v++gcOugxyrouIXEakv/H6a/PVFmjw/DcPno+iueymc8hi4w28++ePx+vys\nTN7LgNtexe6MpCg3gx+/mk/6T18BcM4551qcsP5T8YuI1AO23buIuesOXP9bi79lK/L/36t4L73M\n6lhVmjxnLQDPT+gT0s8JmCbffJ/Bv77YTlZuCRFuN2mr/8HOjf9HwO8LPu/eex8IaY7GQMUvImIx\n978WEf3QA9jycim9Zgj5L7yEGRdvdax648dfDrFw9VZ27s/HYTcYdOEZXNOnHZ+encOUJ74lJ3MX\nXTp34d57H2Do0GFWx633VPwiIhYx8nKJnvIgEYvfx2wSRf5Lr1By02gdwFdub1Yhi1dvJW1bNgC9\nuiRyQ/+OJDQrm7tg6NBhrN3XCrvdYPq43lZGbVBU/CIiFnB8/T+a3vUn7Lt+wdvzAvLmvK7L6JbL\nLSjlg6928EVaOqYJ55zRjBsHnkX7lk2tjtYoqPhFROqSz0eTmc/RZNbzABQ+MJmiSVPAqfPOSzw+\nVnyzm+Vf76LU66dlfBOGXdaR889qjqGtILVGxS8iUkdsO7bTdMLtOJM34D+jLfmvzMV7cWgPimsI\n/IEAX327jw++3EFuoYemUS5uHHgW/bq3xK5rENQ6Fb+ISKiZJu733yP6kcnYCgsouX44BTNexGwa\na3UyS5mmybfbsln0322kZxXictq4rm87rurVlki36ilU9JMVEQkh49BBoiffT8SypQRimpI35++U\nDrvR6liW27k/j4WrtvLjrhwMAy7t3pIhl3TgtBjNWRBqKn4RkRBxfvUFMXePw56+F2+vi8mb83cC\nbc+0OpalsnKK+deX2/nf5gwAkjrGM+yyjrRJ0FX06oqKX0Sktnk8RD33FyJnvwQ2G4VTHqPongfA\nEb7/yy0s8fJ/a3/hs+Td+PwmbVtEc+OAs+jSLs7qaGEnfP8WioiEgP3nLcTceTvObzfib9eevL+9\nju+CC62OZRmvL8DqlD18uHYnhSU+4pu6uf7SjlzUtQU2HalvCRW/iEhtME0i5v2D6CcewSgupnjU\nGAqfmY4ZHWN1MkuYpsn6Hw+w+L/byMotIdLtYPhlHbniN21wOuxWxwtrKn4RkVNkZGUR88DduJd/\nTKBZM/Jmv4bn2t9bHcsyW3bn8P6qrezYl4fdZnDFb9pwXd/2REdqroL6QMUvIlJDRlYWjm9TcW5M\nxZG2Eee6r7Dl5OC55FLyZ79GoFVrqyPWiaVLF7NszlPkZO7im/e7cPuEyeQ4ziL15ywAftM5kWH9\nO5B4WhOLk0plKn4RkRMwDh3EkbYRR1p50X+7EfvuXUc8x9/idAqeeJriCRMhTCacWbp0MePGjQXA\n1SQWe8tLWLktBpsti7PbxDJi4Fl0bBXe8xTUVyp+EZFyRm4Ojm/TcGxMDRa9fdfOI54TaN6c0isG\n4Us6H9/5PfGd34PA6S2tCWyh/zfnVVp3uYzE9j1p0eFCHK5ICg7upWDnf3nj4dc1xW49puIXkbBk\n5OeVlXzaRhxpKWVlv2P7Ec8JxMXhGXA53vN74EvqUVbyrVrXu6vnTZ6zNuRXqAsETLbvy2PTtmw2\nbc/mzIFTaGeUbd0ozsvkhy/nsWvTJ9htBobxRshyyKlT8YtI41dQgPO7b3FsTAlutnds/fmIpwRi\nm+G5dAC+83vg7d4DX/fzCZzRtt6VfF3KLfTw3fayot+84yCFJT4A7DaDkoM72bn5Sw7sTCE/65fg\na87pfJ5VcaWaVPwi0rgUFeH4bhPOirX4bzdi3/IThmkGnxKIaYrnkkvxde8RLPrAme3CuuSh7GI5\nO9Lz+ba87H/Znx/83mkxbi7olEi3DvGc2+40ln+czbi3lx71Hvfe+0BdRpaToOIXkYYnEMDIysK+\ndze2vXux790N237itK/XY//pB4xA4PBTo6Lx9u5bvk++rOj97TqEzUF4VcktKGXT9oNs2p7N9zuP\nXKvv3LYZ3TrG061DPK2bRx2x337o0GEATHniaXIyd9GlcxfuvfeB4HKpv1T8IlK/mCZGzqGyQk/f\nU367F9vePdjS92LfuwfbvnQMj+eol9qbNMF34UXl++TLDr7zdzxLJV+JPxBg2948NpWv1e/KKAh+\nL66pm990Llur73LmaVVeIW/o0GGs3dcKgOcn6PLCDYWKX0TqVkFBsMjt6Xux7dldXuh7saWXLTOK\nio75UtMwCCQk4juvG4FWbfC3bh28jb34ArLiW4Nds8L9Wk5BaXnRH+T7HQcpKj28Vt/lzNPo1iGe\nbh3jaRXfREfjhwEVv4jUnpKSshKvXOwVhb53L7b0vdhyc4778kBcHL4OZxFo3ZpAq9b4W7ch0Ko1\ngdZt8LdqTaBlK3C5jv3ihBjIzD/29xqx4CQ6WbtY914X7rtvEtcNuf7wWv22bHYdOLxWH980gl7n\ntqBbhzi6nHkaES7VQLjRn7iI1Jzfj33b1rKj5Dem4EzbiH3HdmxZmcd9SSA6hkDr1vh6XhAsdH+b\nM8qLvTX+lq2hScOc4W3ynLVA3W/urjyJTkR0HAX2lsz98Ef+8/MqfIGy3RsOu8G57crX6jvE01Jr\n9WFPxS8iJ2aa2HZsx5mWiiM1pexUuG/TsBUeXos07Xb8bc/E1+Xc8jX1sk3wgdat8Zffmk01i9vJ\nKvX6yS30kFfgIbewlJwCD7mFHt77bBsXDplKZGwiTZufGXx+ccEhBvU9j24d4ul8ZjOt1csR9LdB\nRA4zTWx7duPYmHq46L/deMTmedMw8HfqjKd7j7KD6Lr3wNe1G0RGWhjcOr+er/6++yZV68j2QMAk\nv8gTLPHcwlLyCj3kBh97yC0oJbfQQ4nHf8z3aHrGhTQF/N5SMndu5MDOZA7sSKE0P4P5Tx2s5ZFK\nY6HiFwljtv37ys5131i2Ju9MS8WWlXXEc3wdz8Jz+ZXlp8L1xHteEkRHW5S4fqm8qR3ghx82c9fE\nuynw2OjVe0B5eXvIKSwtX1s//JVf5KHS1AJHMYCYJk6ax0YSG+0iNqrSV7Sb2CgXd995C99v2oCv\ntPCI1557ribRkeNT8YuECSMr6/CkNmmpODamYt+/74jn+NueScl1/YIT2/iSumPGNrMocfUsXbqY\nKY+XHdzWuVP117irw+sLUFDspbDYS8Exvpas3MmFv5+KKyIGV5NmRESdht3pZvUOWL0j9Zjv6XbZ\niY1y0eK02GCBHy50F7FRbppGuWga5cRexWmId/3pD4wb9/lRyzWJjpyIil+kETJyc8qmpt2YUn7p\n2NSjryjXshWlv72m0hS1PTDj4y1KfHKOtcZd8bhy+ZumSYnHX1bgJZXKu8hbXuy+suVFHgqKfWXf\nK/FSepxN7BVi2vQkBgj4fZQW5ZCfvZvSokN4inO580+3ERvlrlToLppGuWp1f7sm0ZGTUe+Lf9q0\naaSlpWEYBo8++ijdunWzOpJIaJkm+Hzg8WB4PVBafuvxYASXlWJ4veXLSsHjhYP7iflq7bEvNlNx\nRbnyq8n5uvcg0OL0Wom7dOliXnppJlu2/Mg553Su1TXuCoGASanXT4nHT6nXT2n57dx3PqTl2X2w\nuyJwRcTgjIjBFRnDPz9PZ0tRSrDkC4u9+Pwn2K5eictpIzrSSYtmkURFOolp4iQq0kl0hJPoyPKv\nJmW3t986kh++S8HnOXLegXPPPY/rL322Vn8Gx1MxiU6oL9IjjUe9Lv7169fzyy+/sGDBArZt28bU\nqVNZsGCB1bEk3JgmFBdj5Odjy8/DyMvFyMvDyM/DlpfHd2u/ImX1Skqys2jR7DR6dkuifes2GMFy\nLi2bZc7rxSgtBa8Hw1OxvPzW6wGPt7zEPUfMK18TEUBJkygClw3Ee37P4Cb7UF1R7lhr3HfeNZ5S\nn8HlVw6m1OOnpLyoy0rbR6k3UP7YFyzxkkpl/uvXeLx+PL7AMT+/5YV/4HgXxP1pdw5N3A6iI53E\nJUaUFXiwvB3lBe4iOsJRVuzlXy5n9ScAunvcWMaN++qo5drULvVZvS7+devWccUVVwDQsWNH8vLy\nKCwsJCoqyuJkR6uLtZ76+Nn1/vMDAYzCgrKizssrL+/cw4/z8jAKygq8osyDz8vLPfzY5zvu5/cu\n/wLg0EH44r/Hfa5pt4PLhelyg9OJ6XZDRASBpk3Llrmc5d9zYbqc4HJjulzlr3EFX2M6XfhdLjZv\n3caSjz+i1GYjw+Zgo93BHruTp6+/hcsGXInPb+LzB/D9cgifP4DXV/7YH8DrD+DzBQ4/J7jMPHy/\niufs+CXA5bf/HcPuwO5w43BFYBg2PtkGn2xbd1J/ng67gdtpx+2yE9PESYQrArfTToTLgdtlx+20\n4XaW3X/7H6+SvucX/N5SvKUFeIrz8Zbk065taz5dvqLKfeSnSpvaQ8s0y74CgWPfmiY8MaYP8fEx\nHDyYj81WNnFjxZemKzg2wzRPctWiDjzxxBNcdtllDBw4EICbb76ZZ599ljPPPPOEr8us49m7KtZ6\nLotszWmuZlT8XbvmmiF07twFo+InXPGj/tWtwa+WBx9zxGPjGK//+ectfPLJx2WPDQM7YAcuv+xy\n2rdrh+EPQMCHGSj712L4/WD6Mf3+sguZlH+ZgfLHfj+Y5cv9gfL75cv8Fc8tW24EAhTk55KVmYkN\nE1ultHHxzWnSJBoMMDHK/gVW/Cs0yv9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YmBiSk5MJCAhg3rx5pKSkMH/+fBITE2unciGEELXOIMN93ILd5v/UU08RGxvL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\nVoXkBR6/nEMAAAAASUVORK5CYII=\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -311,13 +356,23 @@ } ], "source": [ - "plt.plot(media_galera.keys(),media_galera.values(),'ko')\n", - "plt.plot(min_galera.keys(),min_galera.values(),'b-')\n", - "plt.plot(max_galera.keys(),max_galera.values(),'r-')\n", + "ma, = plt.plot(media_galera.keys(),media_galera.values(),'ko', label='media')\n", + "me, = plt.plot(min_galera.keys(),min_galera.values(),'b-',label='minimo')\n", + "mi, = plt.plot(max_galera.keys(),max_galera.values(),'r-',label='maximo')\n", "plt.errorbar(media_galera.keys(),media_galera.values(), yerr=desvio_galera.values())\n", "\n", "plt.xlabel('Numero de Amigos')\n", - "plt.ylabel('Numero de Jogadas')" + "plt.ylabel('Numero de Jogadas')\n", + "plt.legend(handles=[ma,me,mi], loc=2)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "É observado que para valores relacionadas ao número de jogadas acima cresce exponencialmente à medida que quescesce o número de amigos. Isso é bem evidente principalmente quando olhamos para o número de interações máximas destacado com a cor vermelha. As barras de erros da média nesta figura são representadas pelas linhas verticais.\n", + "\n", + "Por questão de melhor visualização do plot, podemos colocar o eixo y em logarítmo para observar melhor principalmente o que acontece com o número de jogadas quando temos um número de amigos menor que 9." ] }, { @@ -331,7 +386,7 @@ { "data": { "text/plain": [ - "" + "" ] }, "execution_count": 9, @@ -340,9 +395,9 @@ }, { "data": { - "image/png": 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ezftfHeD8JSvVyoUytHt9oiNkvv6SrtCSnzRpEpcvX6Zp06YoisKqVavYs2cP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\n", 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Tj4+Pp127dixevDh/2cSJE+nTpw+PP/44Bw4cAGD37t28+uqrjBgxgri4OHfHEkIIr6ZJ\nTyOofy/8Z0zFXrESqT+tl4Ivhty6J5+dnc2ECRNo1uzqPY07d+7k1KlTLF26lOPHjzN69GiWLl1K\nYGAgEyZM4PDhw+zYsYM6deq4M5oQQngt3aGDBD3ZF/2JBKyt22L+5DM5PF9MuXVP3sfHh/nz5xMZ\nGZm/bNu2bcTExABQtWpVzGYzFouF6tWrs23bNqZPn57/vBBCiNtj/PF/hHZoi/5EAlnDRpK+ZLkU\nfAGIjV3OirmD+fKdjrRq1YzY2OVqR7olbi15rVaL0Wi8ZpnJZCIs7OovXFhYGCaTiX379tGqVStm\nzJjBwoUL3RlLCCG8j92O/3vvEPz0AADSP/sSy+i3QadTOVjRFxu7nEGDBpKafBJFcXDoUByDBg0s\nEkWv+oV3DocDgPT0dMaOHUt2djaPPPKIyqmEEKLo0KSlEjT4aYwb1mGvVJn0L77GHl1b7VheY+as\nmZSNfpAK98Rw7ug2Tv61CoBZs6bTrVtPldPdXKGXfGRkJCaTKf9xcnIyERERVKxYkZYtW97WuiIi\nAgs6XpEi2y/bX1wV522Hf2z/gQPQtSscPw4PP4xuyRLCQkPVC+dGOp0GKLy/f7PFyuptJyj7wHCq\nBoShOOycO7ot//n4+MMe/7tY6CXfokULZs+eTa9evYiLiyMqKgo/P787WldKSkYBpys6IiICZftl\n+9WOoYrivO1w7fYbV8QS9NILaLIsWIa/QtZro8GmAy/987HbFXQ6jdv//s9dtLB2ZyJbD5zHanNg\n8PHj+K7/cXLPKrLNyfmvq1GjVqH/Lt7ulwq3lnxcXByTJk0iKSkJvV7PmjVrmD17NrVr16ZPnz7o\ndDrGjh3rzghCCOF97Hb8J76L34fTUfz8Sf9sEdYuj6qdqkhTFIVDp1L5ZWci+45fBKBksC8x95cn\n7dR2Xvxowb/eM2zYiMKOedvcWvJ16tRh0aJF/1o+cuRId36sEEJ4r0uXCO7bC+Ov67FVroL5i6+x\n14pWO1WRlWdzsP3gBX7ZmciZlEwAqpULpv395WlYIwKtVgONymPQwetj3yUt5TTRtaIZNmyEx5+P\nBw+48E4IIcSt0R06CE/1xZiQQG5MezI+no8SHKJ2rCLJnGVl419n2bD7LGaLFa1GQ+PoSNo3qkCV\nMkH/en23bj3Zeq4MAFNeaF7Yce+YlLwQQhQBugP7CenRGVJTsYwYRdaoN+X2uDtw1uQ8374t7jx5\nNgclfPQ83LgCbe8rR3iwr9rxCpyUvBBCeDjdgf2E9OyCJi0NPvuMrC6PqR2pSFEUhYMnU1mz8zQH\nEi4BEBHiPN/+wD2lKeHjvVXovVsmhBBeQBd3gJCeXdBeukTGzDkEDhzotVfPF7Q8m51tcRdYuyuR\nsykWAGqUC6Z94wrUr1bSeb7dy0nJCyGEh9IdjLta8DNmk9N3AJ59V7ZnMFusbNh9hl//OktGVh46\nrYamtaNo16g8lUv/+3y7N5OSF0IID6Q7dJCQHp3RXrxIxrQPyen3X7UjebwzKZmXz7dfwGZ34Oej\np0PTCrRtWI6wIO87334rpOSFEMLD6A4fulrwU2eRM+BJtSN5LEVROHDiEr/sTCTuhPN8e2RoCdrd\nX54W95TC11i8a654b70QQngY3ZHDhHTvjNZkImPKTHL++5TakTyCcxa48aSZTrNtSTRDXxpJRNVm\n/LIzkXMXswCoWT6E9o3Lc2/V4nG+/VZIyQshhIfQHTlMSLdOaE0pZHwwg5wnBqod6Rqj5m4FCv8+\n8SuzwAH4+IVgD61H7F4dPkePoNNqaFYnivaNKlCxlFyx8E9S8kII4QF08Ucu78GnkDFpGjlPPq12\nJI8xc+Y09MYS1Hrgv5SvG4NOb8Cak0Hq8U18Pv1NQgN91I7osaTkhRBCZbqj8c49+JRkMiZOJWfg\ns2pH8igXsw3857+z8AuKxJKaRMKfKzhz8Fc02An99B2143k0KXkhhFCR7thRgvMLfgo5Tz+ndiSP\nkWO18e3G4zTuPg6Hw078tqUc3b4cxWEDoHbtuion9HxS8kIIoZIrBa9LvkDG+x+Q8/QgtSN5jPjE\nND5bdZCUtBwCjTZ++vw10pOPX/OaojALnNqk5IUQQgW645cL/sJ5Mt+bTM4zg9WO5BGseXa+/y2B\ntTsTQQMdmlag6wNVeLDy6CI5C5zapOSFEKKQ6RKOEdyts7Pg351I9rPPqx3JIxxPSuezlYc4fymL\nqDA/nukUTdWywcDVWeB0Og2TBjVTOWnRISUvhBCFSJtw3Fnw58+ROf59sgcNUTuS6vJsDv635QSr\nt58CBdo3Kk+3/1TBxyCz7N0tKXkhhCgk2oTjhHTrhO5cEpnvvE/24BfVjqS6k+fNfLbyEGdNFiJC\nfBnYMZqaFULVjuU1pOSFEKIQaE8kENK9s7Pg355A9vPFu+Btdgcrt55k5dZTOBSF1g3L8tiDVYv9\nMLQFTf40hRDCzbQnTzgLPuksmWPfJXvIS2pHUtWZ5EzmrzzI6eRMwoN8eLJjNHUqhakdyytJyQsh\nhBtpT55wHqI/e4bMMePJfnGY2pFUY3c4WP3Haf635QR2h0LLeqXp07Y6JXykitxF/mSFEMJNtKdO\nOvfgz54h861xZA8drnYk1SSZLHy26hAnzpkJCTDyZIda1KtaUu1YXk9KXggh3EB7+pSz4M8kkjn6\nbbJfKp4DtzgcCr/sTOT73xKw2R00qxNF33Y18Pc1qB2tWJCSF0KIAqZNPO08RJ94GsubY8keNlLt\nSKq4kJrFZ6sOcexMOkF+Bv77cB0a1ohQO1axIiUvhBAF6JqCf/0tsoa/onakQudQFH7dfZZvNx7D\nmufg/lqRDGhfg0A/o9rRih2XJX/gwAFSUlJo3bo1M2bMYM+ePQwdOpT777+/MPIJIUSRoT2TSEi3\nzuhOn8Ly2miyRryqdqRCZ0rL5vOfDnH4dBoBJQwM7BhN4+gotWMVW1pXL5gwYQKVK1dm165d7N+/\nnzFjxvDhhx8WRjYhhCgytGfPENK1E7rTJ7G8+iZZI19TO1KhUhSFjXvOMubzHRw+nUaD6iV59+nG\nUvAqc7kn7+PjQ6VKlVi2bBm9evWiWrVqaLUuvxsIIUSx4Sz4js6Cf+V1sl55Xe1IheqSOYeFqw9z\n4MQlSvjoeaZzNM3qlEKj0agdrdhzWfLZ2dmsXr2adevWMWTIENLS0jCbzYWRTQghPJ426azzHPyp\nk1hGvkbWq2+qHanQKIrC1gPnWbLuKNm5NupWCeOpDtGEBvqoHU1c5rLkR4wYwZdffsnLL79MQEAA\nH330EU899VRhZBNCCI+mPZfk3IM/eQLLiFeLVcGnZ+byxc9H2HPMhK9Rx5MdatGyXmnZe/cwLku+\nadOmNG3aNP/x0KFDmTx5Ml26dHFrMCGEuK7sbHA4QOXThtpzSQRfKfiXXyHrtdHg5oIbNXeralOt\nxsYuZ8Xc8aSlnObgb70o17AXeQ4t0RVDeapjLUoGlyj0TMI1lyX/+++/M336dNLS0gCwWq2EhITw\n2mvF66ISIYTKFAW/KRNhxhRKAkpYOI6SJXGUjMARHo6jZARKyQgc4VeWlUSJcP6sBAUXaAFrzyUR\n3K0T+hMJWIa/QtbrY9xe8GqKjV3OoEEDMZYIokGnkUTVaEF2bg71y9oZ3qc1Wi/e9qLOZcnPnDmT\nMWPG8P777/Pee+/x008/ye1zQohC5zdlIv5TJ0HZstjKlkdz0YQ2KQn9oYMu36sYDM7SDy959YvB\n5f9Xwv/2OLwkSkQEin/ADUtbe/4cwd07o084TtawkWS94d0FDzBz1gwq1e9EjeZ9MPoGcvHMQfb+\n8iGny5RkxEA5quvJXJZ8QEAA9evXx2AwUL16dYYNG8YzzzxDixYtCiOfEELgN20y/lMnYa9YCd2W\nzaT5BF990mpFe+kimpQUtBdNaE0pzv9dvIjGdHlZyuVlp06ij9vv8vMUH5/LxR+BcvkowZUjBL5L\nvkR//BhZQ1/G8uZYry/4uBOXiGz0HIHh5cnLsXDg1085uWc1KA7iM01qxxMuuCx5m83Grl27CAoK\nIjY2lqpVq3LmzJnCyCaEEJSYNQ3/ye9hr1CRtNhVhJcrBykZV19gNOIoVRpKlcZ+KyvMybnmy4DG\nZEJrMuUvy/9iYDKhjz+MJjv7X6vIenE4lrfGeXXBX0jNYtn6Y+w5ZiIgrCyn9v7Mka1LsGZfvbuq\nRo1aKiYUt8Jlyb/zzjuYTCZeffVV3n33XUwmE4MHDy6MbEKIYq7ERzMJeO8d7OXKk/b9Shzlyt/9\nSn19cZQth6NsuVt7vcVy+ciA80uA4h9AXvMHvLbgs3NtrNx6kl92JmJ3KNQsH0KU9hSvzvjkX68d\nNqx4TrpTlLgs+SpVqlClShUAPv/8c7cHEkIIgBJzPyLg3bHYy5ZzFnyFiuoE8ffH4e+Po2IldT6/\nkDgUhd/3neO73xIwW6yEB/nSu0017qsZgUbTkGBfO6+PfZe0lNNE14pm2LARdOvWU+3YwoUblnyb\nNm1uer/j+vXr3RJICCFK/N8cAsaNxl66jLPgK1VWO5JXO3omjSXrjnLqfAZGg5ZuLSvzUOMKGA26\n/Nd069aTrefKADDlheZqRRW36YYlv3DhQgCWLVtGREQETZs2xW638/vvv5OVlVVY+YQQxYzv/E8I\nGPMG9lKlSY9diaNyFbUjea1L5hy+3Xic7QcvANC0ThQ9W1UlLMhX5WSioNyw5CtUqADAwYMHWbBg\nQf7yOnXqMGjQIPcnE0IUO76ff0rgm69ij4wi/fuV2KtUUzuSV8rNs7Nm+2l++uMUVpuDSqUC6RtT\ng2rlgl2/WRQpLs/JX7x4kS1bttCwYUO0Wi1//fUXSUlJhZFNCFGM+H7xOYGvj8QREeks+GrV1Y7k\ndRRFYefhZL799RgXzbkE+xsZ8FBVmtUtJQPaeCmXJT9u3Dg++OAD4uPjURSF6tWrM3bs2MLIJoQo\nJny/+oLAUcNxlCxJ2vcrsdeoqXYkr3PqfAZfr4sn/kw6ep2Gjk0r0qlZRUr4uKwBUYS5/Ntt2LAh\nS5cuvWbZmjVr3BZICFG8+Hz9FQEjX8IRHk7adyux15R7rwuS2WLl+98S2Lw3CQVoUL0kvdtUIzLU\nT+1oohC4LPmkpCS++uorUlNTAefY9du3b+ehhx5yezghhHfzWbaEwOFDUEJCSPt2Bfbo2mpH8ho2\nu4P1f55hxe8nyM61U7akP31iqlOnUpja0UQhcjmN06uvvkpISAh79uyhbt26pKam8sEHHxRGNiGE\nF/NZvozAl55HCQ4mbfmP2Oveo3Ykr7HvuIkxn+1g2YZjaDUa+rWrwbiBjaTgiyGXe/I6nY7nnnuO\nzZs3069fP3r27MmIESNo3lzukxRC3Bmf778l8MVBKEHBpC9fgf2eempH8grnLlr4ev1RDiRcQqvR\n0LZhOR5tWZmAEga1owmVuCz53Nxczp8/j0ajITExkTJlynD27NnCyCaE8EI+//uewBeeRQkIJP2b\nWGz16qsdqcjLysnjf1tOsmH3GewOheiKoTweU51yEQFqRxMqc1nyzzzzDFu3buXpp5/m0UcfRafT\n0blz58LIJoTwMsYf/0fg4KdR/ANIX/Y9tgb3qR2pSHM4FH7bm8T3vyWQmZ1HRIgvfdpUp371kjcd\nsVQUHy5LPiYmJv/nHTt2YLFYCA6WAROEELfHuOpHggY9heJbgvSl32G7r5HakYqU2NjlrJg7njTT\nabYtiab/c69xJrcMicmZ+Bh19HywKu3uL49B7/JSK1GMuCz5UaNG/esboU6no3LlyvTr1w9/f3+3\nhRNCeAfjzz8R9OwTYPQhfen32Bo1UTtSkRIbu5xBgwYCUCIokhJVO7ItMQjI5IF7StO9VRVCAnzU\nDSk8ksuvfJGRkSQlJREdHU2dOnW4cOECwcHBJCcn89prrxVGRiFEEWb8ZTVBTw8Ao5H0r5dja9JU\n7UhFzsyZ0wCoWO9hHnxyNmVqtOBS0mHObv2YgZ2ipeDFDbnckz98+DALFy5Er3e+tF+/frz44ot8\n8skn9O/f3+0BhRBFl3H9LwQNHAB6PemLvyWvWQu1IxVJ8fGHKVe7NffEDCbXksbeX2aTdPi3/H+X\nhbgRl7+q0y43AAAgAElEQVQhJpMJh8NxzbJz586Rl5dHZmam24IJIYo2w4Z1BD3ZD7Ra0r/6hrwW\nLdWOVGTVf6ArUQ36Ys3JYNvyMWReTASgRg0ZHVDcnMuSf/jhh2nfvj316jnvYz148CBt2rThhx9+\noE2bNm4PKIQoegybfiX4yb4ApH+5lLyWrVROVHQdOZ1K2fv7Y7XmsiP23fyCBxg2bISKyURR4LLk\nn3/+eTp27Mjhw4dxOBwMGTKEmjVrYrfb0el0hZFRCFGEGDZvIvi/fUBRSP/ia/IelJ2BO3XqfAYf\nfrcPjUZLi8p5bHfkodHqiK4VzbBhI+jWrafaEYWHc1nydrudv/76iwMHDuQ/rlmzphS8EOJfDFu3\nENy/F9jtmBcuJq9NjOs3ieu6cCmLGd/sISfXzqBH69A4Oopj5gh0Og2TBjVTO54oIlyW/Lvvvsul\nS5do0qQJiqKwevVq9uzZw1tvvVUY+YQQRYThj60E9+0JNhvmBV9hjZFJrO5UakYu05btwZyVx4D2\nNWgcHaV2JFFEuSz5Y8eO8dVXX+U/7t+/P3379nVrKCFE0aLf/gfBfXqA1Yr5s0VY23dQO1KRlZmd\nx/Rv9mBKz6Fry8q0blhO7UiiCHN5n3xeXt41V9fb7XbsdrtbQwkhig79rh0EP94DcnMwf/oF1g6d\n1I5UZOVa7cxavpezKRZi7itHl+aV1I4kijiXe/KtWrWiZ8+eNGrkHIJy+/btdOzY0e3BhBCeT797\nF8G9u6PJzsI8bwHWTl3UjlRk2ewO5vywn+NnzTStE0WfmOoy/ry4ay5L/oUXXqB58+bs3bsXjUbD\n+PHj82+nE0IUX/o9uwnu1Q2NJZOMTz7D2qWr2pGKLIei8NmqQxxIuMQ9VcIZ2DEarRS8KAA3LPnE\nxKv3YoaHh9OmTRv0ej1RUXIBiBDFnX7fHoIf64omM4OMOfPI7dpD7UhFlqIofL32KNsPXqBauWBe\n6FYXvU4mmREF44Yl36lTJyIiIlAUBQCNRoPD4cBqtTJ+/Hjatm1baCGFEJ5Dt38fwT0fQWNOJ2P2\n/5Hbo5fakYq0Fb+fZP3uM5SL8GdYz3r4GOT2ZFFwbljy9957L4sWLfrXcpPJxPPPPy8lL0QxZNjy\nG0HP/BdNejoZs+aS+1gftSMVqlFztwIw5YXmBbK+9X+e4X9bTlAy2JcRvevj72sokPUKccUNjwm9\n9NJL110eEhIiV9cLUdzk5OA/5g1CundGk55O5ozZ5Pbpp3aqIu2PuPMsXhtPkL+RV/rUl5nkhFvc\ncE/+ytX0f3fp0iUef/xxunSRK2iFKC70+/cS+MKz6I8cxlatOhlz5mFrcJ/asYq0fccv8tmqQ5Tw\n0TOi171EhvqpHUl4qduapzAkJIQZM2ZQu3Ztd+URQngKmw2/2TPxmzIRTV4e2U8/R+aY8eAnhXQ3\njp1JZ27sfrRaDcN61qNCVKDakYQXu62S12q1UvBCFAPaEwkEDXkOw64d2EuVJmPWXPJay3U4d+tM\nciYzv92Lza7wYo97qFE+RO1IwsvJfRpCiKsUBd9FCwlr3QLDrh3kdOtB6qZtHlPwo+Zu5ekJv6gd\n446kpGUz7Zs9ZOXaGNipFvWrlVQ7kigG3F7y8fHxtGvXjsWLF+cvmzhxIn369OHxxx/Pn91uz549\njB49mjfeeIODBw+6O5YQ4h80Fy4QNKA3gSNfQjEYMH/yGRn/twAlNEztaEVeusXKtKV7SM+00qdt\ndZrXLa12JFFMuCz5w4cP0717dx5++GEA5syZw969e29p5dnZ2UyYMIFmza5Oi7hz505OnTrF0qVL\nmTBhAhMmTADAz8+Pt99+myeeeIJdu3bdybYIIe6QceUKwlo1weeXn7H+pzWpm7aR2/0xtWN5hawc\nG9OX7SE5LZvOzSvSvlF5tSOJYsRlyY8fP57333+fiIgIADp27MjEiRNvaeU+Pj7Mnz+fyMjI/GXb\ntm0jJsY5x3TVqlUxm81YLBZq1KiB1WplyZIldO0qw2MKURg05nQChw4meGB/NFlZZLz/AenfxOIo\nU1btaF7Bmmfnw+/2kZicyYP1y9CtZRW1I4lixuWFd3q9nlq1auU/rly5Mnr9rV2vp9VqMRqN1ywz\nmUzUrVs3/3FoaCgmkwlFUZgyZQojR44kKCjoVvMLIe6QYesWAocORpd4mrx7G5AxZx72GjXVjuU1\n7A4Hn/wvjvjENO6vFUn/9jVlwhlR6G6p5BMTE/N/OTdt2pQ/1G1BuLKuTz/9FIvFwty5c7n//vtp\n166dy/dGRBTvW09k+2X770hODowZA9OmgVYLY8dieOstwgyeP9qaTuf8d0itv/tb/XyHQ2HWsr/Y\nc8xE/eoRvPlUYwz6ux+utqhsv7d+/sK3H1Llc++Gy5J/9dVXeeGFFzhx4gT33XcfZcuWZfLkyXf8\ngZGRkZhMpvzHycnJRERE8PLLL9/2ulJSMu44R1EXEREo2y/bf9vv0x3YT9CQZ9EfOoitchXnwDb3\nN4a0HCCn4IMWMLtdQafTqPZ3b7c7d0pu9vmKorBswzE27EqkcukgnusSTVpqVoF9vqdvv7s/X83t\n9wS3+wXHZcnXqlWLH3/8kUuXLmE0GgkICLjjcAAtWrRg9uzZ9OrVi7i4OKKiovCTwTWEcC+7nRJz\nPsR/8gTnwDZPPk3m2xPA31/tZF7npz9O8cvOREqH+zH8sXr4Gm9rOBIhCtQNf/veeOONm77xVi6+\ni4uLY9KkSSQlJaHX61mzZg2zZ8+mdu3a9OnTB51Ox9ixY28/tRDilmlPniBo6GAM27dhj4wic9Yc\nrG3bqx3LK23ac5bvNiUQHuTDyN71CfQzun6TEG50w5Jv2LAh4Lx/PTU1lSZNmuBwONi2bRvlypW7\npZXXqVPnujPZjRw58g7jCiFumaLgu2QR/m+9jtaSSW6XrmRMmYESFq52Mq+063AyX645QkAJAyN6\n1ycsyFftSELcuOQfe8x5j+zatWuZN29e/vInn3ySIUOGuD+ZEOKOaVJSCBw5FJ+ff8IRFIx5zjxy\ne/YGubrbLeJOXmLej3EYDTpG9L6X0uFyGkR4Bpcni86dO4fZbM6/rc1isZCYmOj2YEKIO2NcvYrA\nkUPRmkxYW7Yi48OPcZS9taNv4vYlJJmZ/d1+AF7qfg+VSsktwMJzuCz5Pn360K5dO8qVK4dGo+HM\nmTMMHjy4MLIJIW6DJjMD/7dep8SSRSg+PmS+O5HsZ5933iYn3CLJZGHmt3ux2uy80LUu0ZVkCGDh\nWVyWfL9+/Xj00Uc5deoUiqJQoUIFGaxGCA9j+GMrgS8ORnf6JHn33Osc2KZWtNqxvNrF9BymLdtD\nZnYeT3aoxX01I12/SYhCdkv3dgQEBFCnTh13ZxFC3K7cXPwnv0eJObNAo8Ey/BWyXnkdjHJVtzuZ\ns6xMW7aH1Ixcej5Ylf/cW0btSEJcl9zAKUQRpTsYR9ALz6I/eAB7pcqYZ8/D1riJ2rG8VmzsclbM\nHU9GWjJnT3+Ab0g5Hm5cgQ5NKqgdTYgbkpN1QhQ1djtMnUpo+1boDx4ge8BTXNrwuxS8G8XGLmfQ\noIGkXzzLfV1ewzekHKcPrEOftkfGoxcezeWevMViYeHChezfvx+NRkP9+vV54okn8PWVe0CFKGy6\nY0cJGPkSbPsdJSIS84yPsLbvoHYsr5ZrtfPp16up//BwIqvcj9E3gPPHtrN/7Vw+PFOb7t17qh1R\niBtyWfJjxowhKiqKPn36oCgKW7du5a233mLq1KmFkU8IAZCVhd/MqfjNmYUmLw+6dePSe9NQSpZU\nO5lXyszOY+8xE7vjU4g7cYlSDfsBkG1O4fiBtRz5fQmK4iA+/rDKSYW4OZclbzKZmD59ev7j1q1b\nM2DAALeGEkJcZVyzmoA3R6FLPI29bDkyJ0wm+InHUUyZakfzKpfMOfx11FnsR06n4bg8Q2aZkv7E\n/bGSA3+sJD35+DXvqVGj1vVWJYTHcFny2dnZZGdnU6JECQCysrLIzc11ezAhijvt6VMEjH4VnzWr\nUfR6soa+jGXEq85JZeQ8cIFIMlnYHZ/C7vgUTp6/OrNZlTJBNKwRQcMaEZQK8yM2PJFBK2b96/3D\nho0ozLhC3DaXJd+7d286dOhA3bp1AeekM8OGDXN7MCGKrdxc/D7+CL8ZU9BkZ2Nt/gCZk6djryl7\njXfLoSicPJeRX+znLzmngNVpNdSpFEqDGhE0qB5BaKDPNe/r1s153v31se+SlnKa6FrRDBs2In+5\nEJ7KZcn37NmTFi1aEBcXh0ajyT9HL4QoeIbfNhLw+kj0x47iiIgkY9qH5PboJXvud8Fmd3AkMY3d\n8SnsOWoiNcN5JNJo0HLf5b31etXC8fc13HQ93br1ZOs55/3wU15o7vbcQhQElyU/fPhwZs6cSenS\npQsjjxDFkvb8OfzffhPf2O9QtFqyn34Oy+tvoQSHqB2tSMrNs3Mg4RK741PYd9yEJccGgL+vnhZ1\nS9GwRgS1K4fhY9CpnFQI93JZ8uXKlWP58uU0aNAA499G0SpfvrxbgwlRLNhslPh8Hn6T3kObmUFe\nw/vI/GAGtnr11U5W5PzzinirzQFAaKAPTeuUomH1ktSoEIJOxvIXxYjLkv/pp5/+tUyj0bB+/Xq3\nBBKiuNDv2E7gayPQx+3HERJCxtRZ5PR/wuMnlBk1dytQ+Iesr4w4l2Y6zbYl0QwfPpJWbTtf94r4\n0uF++RfOVSoVKAPWiGLLZclv2LChMHIIUWxoLl7Ef8LblFj8JQDZfQdgeesduef9Jq6MOAfgH1oW\na0AtFm0y8eORrfmvqVw6iIY1StKwRoTM5y7EZS5L/uzZs0yePJnU1FQWLVrEt99+S6NGjahUqVIh\nxBPCizgc+C7+Ev8Jb6NNTcVWuy4Zk6dja9JU7WQeb+bMafgFR1G71UBKVXMO3+uw28gyHeO5vh2v\ne0W8EOIWR7zr168fCxYsAKBSpUqMGTOGRYsWuT2cEN5Cv38vAa++jOHPXTj8A5xzvT89CPQyR5Qr\nuXl2lLD6tGr3KDq9kUtnD3Jq3y8kJ+xEseeydOpzakcUwmO5/BcmLy+Ptm3bsnDhQgAaNWrk7kxC\neA2NOR2/SRMo8fmnaBwOcrr1wPLO+zhKyd0qriiKwq4jKSzbcJRqTR4jJ/MiezctJOnI5vzX1K5d\nV8WEQni+W9qNMJvN+ReuHD16VEa8E8IVRcHnu28IeHs02pRkbFWrkTlpGnmtWqudrEg4m5LJknVH\nOXQqFZ1WQ7WwbD76aAj2vJxrXicjzglxcy5L/sUXX6RXr16kpKTQpUsXUlNTmTJlSmFkE6JI0sUf\nIeC1ERh/34zi64vlzbFkPT8UfOScsStZOTb+t+UE6/88g0NRqFc1nMfbVicqzI/oiLky4pwQt8ll\nyTdp0oQffviB+Ph4jEYjlStXxkf+sRLi3ywW/Kd/QImPP0Jjs5H7UAcyJ0zGUbGS2sk8nkNR+H3/\nOb7beBxzVh6RISXoE1Od+tWu3nFwZcQ5nU7DpEHNVEwrRNHhsuQvXLjAmjVryMjIQLl8Dyo49/CF\nEICiYFy9ioC3XkN3JhF7+QpkvvcB1oc7qp2sSDhxzszitfEkJJkxGrR0/08VHmpcHoNeRqMT4m65\nLPlnn32WOnXqyHj1QlyH9uQJ50xxa9egGAxYhr9C1vBXwM9P7Wgez2yx8t2m42zZdw4FaBwdSa/W\n1QgL8lU7mhBew2XJh4SEMHHixMLIIkTRkZuL3+yZ+M2ahiYnB2vLVmROmoa9eg21k3k8u8PBht1n\n+WHzCbJzbZSN8KdfTA1qVQxVO5oQXsdlybdr144VK1bQoEEDdLqrh8/KlCnj1mBCeCrDxg3OmeIS\njmOPjMIyay65XXvITHG34PCpVBavi+dsigU/Hz19Y6rTumFZGU9eCDdxWfJHjhzhxx9/JCTk6mxY\nGo2GjRs3ujOXEJ5HUfCb/gH+k99D0WrJeu55sl59EyUoWO1kHu+SOYdlG46x83AyGuA/95ame6uq\nBPkZXb5XCHHnXJb83r172blz5zUz0AlR7OTkEDh8CL7ff4u9fAXMC76SmeJuQZ7Nzs87Elm17STW\nPAdVygTRr10NKpcOUjuaEMWCy5KvW7cuubm5UvKi2NIkJxP8xOMY/txJ3v2NSf/ia5SICLVjebw9\nx0wsXXeU5LRsgvwM9G9Xk+b3lEIrpzWEKDS3dAtdmzZtqFq16jXn5BcvXuzWYEJ4Al3cAYIH9EZ3\nJpGcHr3ImDEbfOXq75u5cCmLr9cfZd/xi2g1Gto3Ks8jLSrj5yvj9AtR2Fz+Vzd48ODCyCGExzH+\nsprAQU+jtWRieWOM89Y42Qu9oRyrjZVbT/HLztPY7ArRFUPp264GZUvKtK9CqMVlydvt9sLIIYTn\nUBRKfDIH/3GjwdeX9M++xNqlq9qpPJaiKGw/dIFvfz1OakYu4UE+9G5TnftqRuTPeSGEUIfLkp87\nd27+z3l5eRw7doyGDRvSrJkMKym8kNVKwOsjKfHVF9ijSmFetBRb/YZqp/JYpy9ksGTdUeIT09Dr\ntDzSohIdmlbExyCj1QnhCVyW/D/njb948SLTpk1zWyAh1KJJvUTQwAEYf99M3j33Yl60FEeZsmrH\n8iixsctZMXc8FvMlEva/QHDFJoCGBtVL0qdtdSJCSqgdUQjxN7d9JUx4eDgJCQnuyCKEanTHjxLU\nrxf6hOPkduyCec488JdzyX8XG7ucQYOepsI9MTTqMQBjiSAyL52hbb0gBvVoo3Y8IcR1uCz5UaNG\nXXNe7dy5c2hldCrhRQy/bSTo6f+iTU8ja9hILG+MAfkd/5dZH35Iw86vUKZGC2zWbA5uWsCJv1aR\nXKsWg/rLNQtCeCKXJd+8efP8nzUaDQEBAbRo0cKtoYQoLL5ffE7A6yNBp8P80Sfk9u6rdiSPlJqR\nS3j9/gRHVeNi4gF2/zSNXEsqAPHxh1VOJ4S4EZcl361bt8LIIUThstvxf/tN/OZ9jCM8nPQFS7A1\nlYtJr+fkeTMfLt9HcFQ1Tu9fy/71/4fisOU/X6NGLRXTCSFu5oYl36ZNm2sO0yuKgkajwWq1YjKZ\nOHToUKEEFKKgaTLMBD73FD7r12KrWYv0RctwVKqsdqxbNmruVnQ6DZMGuf9Lya7DycxfeZA8m4Pa\nEVmsXDvnX68ZNmyE23MIIe7MDUt+w4YN/1q2bt06pk2bRo8ePdwaSgh30Z46SfCA3ugPH8LaJgbz\nvAUywcx1KIrCyq0nid18Ah+jjqE961G/Wkmqhn3O62PfJS3lNNG1ohk2bATduvVUO64Q4gZu6er6\nkydPMmHCBAwGA/PmzaN8+fLuziVEgdNv/4Pgp/qiNZnIenYwlnfeB70MtfpPeTY7C346zB8HLxAe\n5MNLPe+lfGQAAN269WTrOec001NeaH6z1QghPMBN/4XLyspizpw5bNq0iVGjRtGqVavCyiVEgfL5\n5msCRwwFu52MydPJeeoZtSN5pHSLldnf7eN4kpmqZYN4sXs9gv1lciohiqoblvzKlSuZPXs23bt3\nJzY2FoPBUJi5hCgYDgd+kybgP3MqjqBgzPO/IO9Buaf7ehKTM/lw+V4umnNpWieKpzrUwqCXkeuE\nKMpuWPKvvPIKlSpVYvPmzWzZsiV/+ZUL8L788stCCSjEHbNYCBo6GJ+V/8NeqTLpi7/FXr2G2qk8\n0p6jJv5vRRy5eXa6/6cKnZpVlHHnhfACNyz59evXF2YOIQqU9lwSQQP6YNi3B2vzBzB/vgglLFzt\nWB5HURTW7Ejk21+PYdBreaFrXe6vFal2LCFEAblhyZctK2N2i6JJv/cvggb0QXf+HNn9/kvm5Olg\nlPPK/2SzO/hyzRG27DtHSICRYT3vpWKpQLVjCSEKkFxaLLyKceUKgoY8Czk5ZI57j+znX5Q54K8j\nI8vKnNgDxCemUbFUIC/1qEdooI/asYQQBUxKXngHRcFv1jT83x+P4ueP+YuvsT7cUe1UHinJZGHW\n8r2kpOVwf80Inu5cW6aGFR7rzBkNO3bo2L5dx4+rm1G6cioMUjtV0SElL4q+3FwCRwzF99ul2MuW\nI33RMux171E7lUc6kHCRj/93gOxcO12aV+LRlpXRypEO4SHsdjh0SMuOHbr8Yj979u+TRRlJTQ7g\n0iULYWGqxSxSpORFkaZJSSH4yb4Ydm4n7777SV/4NUpUlNqxPNL6P8+wZF08Oq2W57rUpmmdUmpH\nEsVcVhb89ZezzHfs0LFzp46MjKtfOsPDHTz8cB5Nmthp0sTOm1OS2PNrdX75RU+fPrabrFlcISUv\niizdoYMED+iN7vQpcrr3JGPGHChRQu1YHsdmd/D1+qP8uvssQX4GXuxRj2plZSjfomjKC82JiAgk\nJSVD7Sh3JCXl6qH3nTt17N2rxWa7WupVqjjo3NlG48Z2mjSxUbWqcs0lNZXqnGfPr9VZtcogJX+L\npORF0bR6NSG9eqPNzMDy6ptkjXxNLrC7DktOHh//cICDJ1MpF+HPSz3rUTJYvggJ91MUSEjQsH27\nju3b9ezYoeP48auH3vV6hXr1HJcL3U6jRnYiI5WbrjO4ZBahkRls3BhAZiYEBLh7K4o+KXlRpGhP\nnsB3+TKYOgmN0Yh53gJyu8qESddz4VIWs5bv4/ylLOpXK8mzXWpTwkf+kxfuYbXC/v3ay6Xu3FM3\nma6WemCgQuvWtvxD7w0a2PHzu/3PqVg7mT0bA9mwQc8jj8jevCvyX7zwbFlZGLduxrBhHcYN69An\nHHcuj4oi7YuvsTW8X918HurwqVTmxO7HkmPj4SYV6NmqKlqtHOkQBSc9HXbtunqB3O7dOnJyrv6O\nlSnjoHv3PBo1cpZ6dLQDXQHcxOEs+aqsWiUlfyuk5IVnURR0Rw5jvFzqhu1b0eTmAuDwDyD34U5Y\n28QQ+GQ/bPiqHNYz/bY3iUVrjgDwVIdatLy3jMqJhLe4dD6Q+D/L8eA3fhw6pEVRnKWu0ShERzvy\n99IbN7ZTrtzND73fqbBSGVSo4GDtWj25ueAjwzvclJS8UJ0mPQ3Dbxudxf7renRJZ/Ofy6tbj7w2\nMVjbxJB3f+P8kesCIwKhiF585C4Oh8I3vx7jl52J+PvqebH7PdSsEKp2LOEl0tPhly/vJzfLSIkS\nCs2a2fNL/b777AQX0rWcGg106mTj44+NbN6sIybGXjgfXERJyYvC53Cg3/tXfqnr/9yJxu78D9UR\nFkZO955YW8dgfbCt3A53i7Jzbfzfijj2Hb9I6XA/hvWsR2ToHZzwFOIGpk/3ITfLSL3/HOenJZGq\njhTdsaOz5Fet0kvJuyAlLwqFJjkZ48b1zmLftAHtxYsAKFottvsaYW3dFmubGGz3NqBATtwVI6a0\nbGZ9t4+zKRbqVA7j+Ufr4ucr/2mLgpOQoGH+fAMBIVnUa5mA0ajuJEbOK/Ed/PyznilTctHLr/sN\nyR+NcI+8PAy7djjPq29Yh2H/3vyn7KXLkN13gPMQ/H8eRAmRQ8p36uiZNGZ/v5+MrDzaNixHn5hq\n6LRa128U4jaMG+dDXp6G5u3i0RkcasdBq4UOHWx88YWR7dt1tGghe/M3IiUvCoz29CmMvzr31g2b\nN6HNdJ4zV4xGrC0fxHr53Lq9VrTc036HYmOXs2LueNJMp9m/8XFK1+8JaOnfvgZtGpZTO57wQps2\n6fj5ZwNNm9qoWPuC2nHyderkLPlVq/RS8jchJS/uXHY2hm1brp5bPxqf/5StchVyez/uLPbmLcHf\nX8Wg3iE2djmDBg0ENNRs0Y+oe3uSm22hZTW7FLxwC5sNxo71QaNRmDAhl0Vb1E50VYsWdoKDFX76\nSc977+XKfsMNSMmLW3fl9raN6zH+uh7Dtt/R5OQ4n/LzJ/ehDs4L5lq3xVG5irpZvdDMmdMw+PhT\nr/2LlK7eDEvaOXbETiCxdCjP9e+qdjzhhb76ysChQzr69rVSr54DPKjkDQZo397Gt98a2LNHS4MG\n6p9G8ERS8uKmNBcvYvztVwwbN2DcuAHduaT852y16+ZfMJfXuGmxuWF11NytgHMc8cKUbg+m1RMf\n4RsQhilxP3/++AF5ORnEZ3jOIVThPdLTYfJkI/7+Cm+8YVU7znV16uQs+VWr9DRo4JkZ1SYlL65l\ntWLYuR3jxg0YNm5Av28PGsU5qIUjPNx5e9uDbclr1RpHaRlkpTCkZ+by1dp4GnZ+FbvNyqHNi0j4\n8wcUh/M8ZI0atVROKLzR9Ok+XLyo5a23comKcs/ANnfrwQdt+PkprFplYPRoqxyyvw4p+eJOUdAd\nP4Zh43qMGzdg3LIZTZbF+ZTBQF7zB7C2bkveg22w1a3nvKxVFApFUdiy/xzL1h8jK9dGWIk8vps7\nHEtq0jWvGzZshEoJhbe6cstchQoOnnvOc/eQ/fygTRsbK1caiI/XUrOmHLL/Jyn5YkiTloph8yaM\nVw7BJ57Of85WrXp+qVubPSDTPKkkJS2bL34+zMGTqfgYdQxoX4NWDcrSosIEXh/7Lmkpp4muFc2w\nYSPo1q2n2nGFl7lyy9zbb+fg6+GjR3fs6Cz5Vav01KzpuV9I1CIlXxzk5aHf/SfGX50D0ej/2o3G\n4fzG6wgJIeeRbs5Sb9UaR/kKKoct3hwOhXV/nuH7345jzXNQr2o4A9rXJDzY+S9tt2492XquDDqd\nhkmDmqmcVnijK7fMNWtmo3Nnz58Apl07GwaDwqpVekaMkJL/J7eXfHx8PEOGDOHJJ5+kX79+AEyc\nOJG9e/ei0Wh48803ueeee0hJSeG9997jgQceoGdP2TO5W9oTCVzZUzds+Q1thhkARafD1qgJ1gfb\nYG3dVkaY8yBnUzJZsPowCUlmAkoYePLhWjSpHYVGTjSKQvL3W+befbdo3JYWHAwtW9rZsEHPqVMa\nKlb0zOsH1OLWks/OzmbChAk0a3Z1j2Pnzp2cOnWKpUuXcvz4cUaPHs3SpUvRarX07t2bs2fP3mSN\n4hVmVBUAACAASURBVEY05nQMWzZjvHxuXXfyRP5z9kqVye7xGNbWMeS1eAAlqJBmkhC3xGZ3sGrb\nKVZuPYndodC0dhR9YqoT5Kfi4OCiWPrXLXNFRKdONjZs0LN6tZ7Bg/PUjuNR3FryPj4+zJ8/n3nz\n5uUv27ZtGzExMQBUrVoVs9mMxWIhPDwcnexR3jq7Hf2fOzFu3PDvSV4Cg8jt2MW5t96qtdyz7sGO\nJ6WzcPVhzqZYCA30YcBDNalfraTasUQxVBRumbuRhx6y8corzkP2UvLXcmvJa7VajP+YqshkMlG3\nbt38x6GhoZhMJvwvj4imKHKoxZUSH86AOTMJTU0FLk/y0uA+Z6k/2BZbw/ucI0UIj5VrtRO7OYG1\nOxNRgAcblOWxB6tSwkcukxHqmDbN82+Zu5HISIUmTexs367jwgVNkcvvTqr/i3Kl1Ldt28bXX3+N\nxWIhNDQ0f2//ZiIiAt0dz/MsWQIT3oaICHj2WWjfHk3bthhCQzEAxWnwWLX+/nU6zV19/p74ZGZ/\nu5cLl7IoU9KfF3vV556qt773freff7fU/PzivO1/V9CfHx8P8+dD5cowerQPvr7XH9hK7e2/2ef3\n7g1//AG//x7AoEGFncxzFXrJR0ZGYjKZ8h8nJycTERFBxYoV/7+9O4+LslwfP/6ZjWERFBeGxA0t\nFyRNLXdzSy2mvfyGC5301LHMk5aHk2mpKeWWJ+2gxyXNIAu38FhgqGVoopiWG265pOKCICIgI8PM\nPL8/5idHTS1N5mFmrvfr1euVwzDPdbNdz33Pfd3XVe/d/xG5uUV3OrxKTbdnN8EvvohSJRDthg3k\n1ghzfsAGeNnXolatQNW+/3a788b0Vq9/8VIZS747xA+7TqPVaHikfT2e6BSOj0F3S69ltyvodBq3\nG/+dura3jv2yivjZf+01P2w2PW+/baGoyEbRDV5e7fHf7Pv/4IMaoApLlth4+mmL64NzkVu9wXL5\nySadOnUiLS0NgKysLEwmE/7+/q4Ow+1ozudT9YUBaCwWimbNg6Zyypk72X7gLG/Pz+SHXaepF1KF\nd/5yP3273Y2PQfahCHV9/72OtDS925TM3UjdugotWtjZuFHHhQtqR1N5VOhMPisri8mTJ3Pq1Cn0\nej1paWnEx8cTERFBdHQ0Op2OsWPHVmQInsFuJ2jIYHTHf+XiG//E+ohZ7YjEH1RQXMriNQfZfjAX\nvU7LM10b0qdtPfQ6OTlQqM9mg3Hj/tdlzh1K5m7GbLaxa5eRNWv09O3rvjcsd1KFJvnmzZuTmJj4\nm8dHjhxZkZf1OAGTJuLz/XeUPtSbkn+OVjsc1cXOzqj0h8EoisIPu06z5DvnkbT31KnKC4805a4a\n3rRrQlR2iYnOkrkBA6zce6/7lMzdiNlsY9IkIykpkuQvU33jnbg5n69W4v/Rv7CFN6ToPx/L2fFu\n4GyBhYTrHEmrdfdpkvAol0vmqlRRGDXKvUrmbqRxYwf33GNn/Xo9JSXOs+29nWSMSky3fx9Bf38F\nxT+AwkWfo1StpnZI4iYcDoU1W48zdkEme389T4tGNYj7azu6t64jCV5UOtOnG8nP1zJihNWjSs7M\nZhsWi4b162UOC5LkKy3NhQKCXuiPpuQihR/Nxt4sQu2QxE1k5xbz/mfbSfruED56HX97LILhz7Yo\nP3NeiMrk8GH36DJ3O6KinMv0KSmS5EGW6ysnh4PAV/+G/shhSoaNwPr4U2pHJG6gzOYgZfOvpGw+\nJkfSCrcxfrwvNpt7dJm7VS1bOggLc7BmjR6rFXy8/FdRknwl5P/BZIxrvsHatTsXx4xTOxxxheTk\n5ayaPYGC3OPs/KYXzbq9RJFVL0fSCrdxuWSuY0f3Lpm7EY3GuWQ/b54PP/ygo0cPu9ohqUqW6ysZ\nn29SCfhgMvZ69Smcu1A6xFUiycnLGTJkMIX5p2n24AuEdRhCkVVP/WqXiHuxnSR4Uem5Y5e522E2\nO29eUlNlHitJvhLRHfqFwFf/huLnx4VPFqNUr6F2SOIKsz9OpEmngXQbNIuGbR7nYsFpMpaMZn1S\nnJw5L9xCYqKB/ft19O9f5hElczfStq2dmjUdrF6tx+7dE3lZrq8sNMVFBL3QH21RIYWz52O/t4Xa\nIQkgr8BC5r4cMvfmULfLcABsVguHti7n4JalOGxWCnPk10hUfleWzLlbl7lbpdPBww/b+OwzH378\nUUf79t6b6eWvU2WgKAT+/RX0Bw9QMmQopc8+p3ZEXq2wxMq2/WfZsjeHQ9nO8zH1Og3FZ/Zy4Mev\nyTm6DYftf38kGzeWI4ZF5ffBB86SubffLiUkxHNK5m7EbHYm+ZQUvSR5oS6/j/6FMWUV1o6duTh2\notrheCVLqY0dv+SxZW8OWUfzcSgKGqBZ/WDaRZho06QWa1afY8jnGb/53OHD33B9wELcgsOHNSxY\n4JklczfSubOdwECF1av1TJjgufsPfo8keZUZvltLwPsTsNcOo3D+p9IH3oVsdge7j5wjc28OO37J\nw2pzvkfZIDSQ9hEmHmhmIjjwfy03n3rqWQBGjZ1IQe5xmjVtxvDhb5Q/LkRldblkbvx4zyuZuxGj\nEXr1svHllwb27NF69B6Em5EkryLt0SMEDfkr+PhQ+MlnKLVqqR2Sx3MoCgePF7Blbw7bD5zl4iXn\nLlxTsB/tm4fSLsJEaPUbn4X51FPPknG6NgDThnZ0ScxC/BlXlsxd3nXuLcxmZ5JPSdFz773esYJx\nLUnyarl4kaovDEB7oYDCmbOxtWqjdkQeS1EUjucUs2XvGbbuO8v5olIAqlbxofcDdWnf3ER9UyAa\nb13PEx7LW0rmbqR7dxu+vgopKXqPOZ//VkmSV4OiEPjGMPT7srC88FdK+w1UOyKPlJNfQubeHLbs\nzeFMfgkA/kY9D7a8i3YRoTSpWw2t1sv+6gmvkpDgLJkbONAzuszdqipVoFs3G998Y+DQIQ133+35\nGw6vJUleBX5zZuGbvIKyB9pRHDdF7XA8SkFxKVv3nSVz7xmOni4CwKDX8kDTENpHmIhsWAODXo6H\nEJ6voACmTvWsLnO3w2x2JvnUVAOvveZ9XwdJ8i5m2JhOwLtvYzeFUrgwUQ5WvkXlx8rmHWfz580Y\nMWIkfR55gu0HctmyN4f9x8+jKKDVaIhsWJ32ESZa3VNLDqsRXudylzlvKZm7kd69beh0ziV7SfKi\nQmlPHCfoby+ATkfhgkQcplC1Q3Irl4+VBdDqDJy3BTHv6wOkHNyAQ3Euu98dVpV2ESYeaBpCUIDc\nQAnvdOiQs2Sufn0HQ4Z4X2K7UnAwdOpkZ8MGPdnZGurU8a4bHknyrmKxEDRoINpz5yia+iG2tu3U\njsjtzJgxHd/AmtzTri+1m3TGYAwA4FJhDtHmDrSLMFGrmp/KUQqhviu7zBmNv/98T2c229iwQc/q\n1XpeeqlM7XBcSpK8KygKgbEjMOzagaV/DJf+MljtiP6U2NnOA2FcWUJWVGJFa2pP914Po9MbsBTm\ncmznN5zcvwFLwUk+ey/fZbEIUZmtX69jzRo9nTp5X8ncjURF2Rg1SiE1VZK8qAC+C+fhu/QLylq1\npnjydLyujuVPuGS1sfbHE3yz9TjhrR+jpPAsBzO+IHtfOijO3cIREZEqRylE5WCzwbhxzpI5bz7l\n7Vomk0KbNg42b9aRl6ehZk3vWbKXJF/BDFsyqPLOWzhq1qRw4Wd4zXFTf5LN7iB9xym+yviVwotW\nqvgZaF6rkGkzh+KwXz07kWNlhXDy9pK5mzGby9i2zZe0ND0DBnjPbF5qiSqQ9vQpggbHgKJQ+HEC\njrA6aodU6TkUhS1ZZxgzfwuL1x6k1Grn8U4NmPJyB0b+9TH+M3sewaZwNFodERGRzJ27UI6VFQIp\nmfs9UVHOyUFKinfNbb1rtK5UWkrQ4IFo83IpjptMWcfOakdUqSmKwp6j+az4/jDHzxaj02ro2aYO\nj3ZsQNUrdslfPlZWp9MweUgHFSMWonK5XDL3zjveXTJ3I+HhCs2b29mwQUdREQQGqh2Ra0iSryBV\nRsdi2L6NS88+h+WlV9QOp1I7fPICy78/zIETBWiA9s1NPNmlISGyU16IP+TKkjlv6TJ3O8xmG1On\nGlm3Ts9TT3nHpkRJ8hXAN3ERfomLKItsQdEHM2Wj3Q2cyrvIlxuO8NPBXABaNKrB0w82pJ7JS26x\nhbhDruwyJyVzNxYV5UzyKSmS5MVt0m/bSpW3/oEjOJjCRYvB/8YdzbxVfuElVv5wlE27T6Mo0Cgs\niGe7NqJJvWC1QxPC7VxZMnf5fWdxfc2aOQgPd7BunR6LBfy8YLFQkvwdpMnJcW60s9konLcIR736\naodUqRRbykjdfIx127Ox2R3UrhnAMw825L57akoHOCFuw5Vd5qRk7vdpNM5d9vHxRjZs0NGnj13t\nkCqcJPk7xWql6ovPoztzmuKxEynr2l3tiCqNUqudtdtOsDrzGJZSO9WDjDzZuSEdI0OlC5wQf0JC\ngoEDB3TExEjJ3B9lNtuIjzeSkmKQJC/+uCrjRmPI3MylJ57G8upraodTKdjsDjbuPMWqTb9y4f/X\nukf3CKd76zAMep3a4Qnh1q4smXvzTdls90e1auUgNNRBWpqesjIwGNSOqGJJkr8DjEmL8VswD1uz\nCIo+jPf6jXYORWHb/rN8ueEIZ89bMBp0PNaxAX3a1sPfV37khLgTpGTu9mi1zg14Cxf6sHmzjgcf\n9OzZvPzF/ZP0O38mMHYEjqrVuPDJYqhSRe2QVKMoClm/5rPi+yMcyylCp9XQo3UYj3UKv6rWXQjx\n50jJ3J9jNjuTfGqqXpK8uDFNXh5BgwaC1UrRJ5/haNhI7ZBUc+RUIcu/P8T+4wUAtI8w8WSXcEKC\npbpAiDtt3DgpmfszOnSwExzsbFjz/vulaD347FdJ8rfLZiNoyCB02Se4OOptrA/1UTsil0hOXs6q\n2RMoyD3O1iXNeHFoLIU+97D9gLPWPbJhdZ7t2khq3YWoIGlpsHatlMz9GXo99OljIynJwE8/abn/\nfs/dtChJ/jYFTByHz8Z0Sh95lJIR/1A7HJdITl7OkCHONrm+VWpgqNOVbw8HotXm0rC2s9a9aX2p\ndReioths8MYboNEoTJwoJXN/htlcRlKSgZQUA/ffX6p2OBVGkvxt8En9Gv///BvbPY0pip+DR6/1\nXGHGjOn4Vw2lwX1R1G/ZB53eSNG5E1w8toEFb34ste5CVLCFCw3s3QsxMWVERnru7NMVuna14+/v\nXLIfO9Zzb5gkyd8G3S8HcNSsReGiz1ECg1x+/djZGS5t0OJQFLKO5hPY9Cm6P9wajUaLpSiPgxnz\nyN67Hp1Oi0azwCWxCOGtNm7UMX68keBgpGTuDvD1hV69bPz3vwb27dMSEeGZN02S5G+DZfhILMNG\ngM6za71LLtnYtPs03/2UTc55CyHh93P+1H5+3ZHK6V8yyvu6N24coXKkQni2/fu1DBrkh1YLyclI\nydwdYjY7k3xKip6ICM+8cZIkf7s8OMGfzLvId9uzydhzhtIyO3qdlk6RoWiLDvDmv0b95vnDh7+h\nQpRCeIecHA39+/tRWKjhP/+x0LWrH7m5akflGXr2tOHjo5CSoic2VpK88GAOh8KOQ3l8uz2bfcfO\nA1A9yMijHevTpWVtgvx9gAiq+doZNXYiBbnHada0GcOHv8FTTz2rbvBCeKjiYhgwwI/sbC2jR5fy\nzDOym/5OCgx0vje/dq2eo0c1hId73gqJJHkvV2wpY8POU6z/KZtzhc4dpk3rVaNnmzrcd09NdNds\nKnzqqWfJOF0bgGlDO7o8XiG8hc0Gf/ubH7t26Rg40Mrw4Z4501Sb2VzG2rV6UlP1vPpqmdrh3HGS\n5L3UsTNFfLs9m8x9OZTZHPgYtHRrFUaP1mHUqeW9p/YJURkoCrz1lpF16/R0725jyhTP3f2ttj59\n7Gi1CikpBknywr3Z7A62HTjLd9tPcujkBQBCgv3o0boOne8Nxd/Xwzs1COEm4uN9+PRTH5o3t7Ng\ngcXjm6ioqUYNhQ4d7GzapOfMGQ2hoZ61ZC9J3gsUFJfy/c8nSd9xigsXnUt+LRrVoEfrOkQ2rI5W\npghCVBorV+qZONFI7doOPv/c4s3tMFzGbLaxaZNzyX7wYM+azUuS91CKonD4ZCHrtp9g+4Fc7A4F\nP6Oe3g/UpXvrMExyprwQlc6WLTqGDfOlShWFxYst3HWXZ80qK6tHHrExejSS5EXlZy2zk7kvh2+3\nZ3M8pxiAsJoB9GxTh/bNTfj6yLdciMro0CENf/mLHw4HLFxooXlzzzycpTIKC1No3drOpk06zp+H\nYA86nVv+4nuIvAsW1v98ko07T1NsKUOjgTaNa9GzTR2a1KsmR84KUYnl5mro18+f8+c1zJxpoVs3\nz25/WhlFRdn46ScjaWl6oqM9p1RRkrybKe8Cl3eczZ83Y8BLb1Lq15Adh/JQFKjiZ8DcoT7d7guj\nRlVftcMVQvyOkhJ4/nk/jh3T8sYbpfTr5zkJxp2YzWXExRlJTZUkL1RyuQuczuBLvXv7EHJfFFuy\ng4A8GoQG0rNNHdo2C8Gg99zT+ITwJHY7DB3qy/btOvr2LZMz6VXUqJFC06Z2vv9eT3ExHrPhUZK8\nG5kxYzrBdzWhVdRI/KuG4LCXkb3vezQF+1mwcoksyQvhZsaPN5KaaqBzZxsffnhJauFVFhVl41//\nMrJ+vZ7HHvOM2bwkeTfhcCjYq0XSoc//oQEO/fglR7b/F2vJBfR6vSR44TJy0uGdMX++gblzfWjS\nxM4nn1jw8VE7ImE2O5N8SookeeFC+YWXmPfVXhp36IelMJefV39I/sm95R9v3LipitEJIW5Vaqqe\nt982EhLirIWvWlXtiARAZKSDevUcrFmjp7QUjEa1I/rztL//FKGm7QdyGbdwKwdPFHBXFSsbEkdc\nleBBusAJ4U5++knLK6/44ucHixdbqFtXauErC43GuWRfXKzhhx88Y2+TJPlKqrTMTsI3+5mVvJsy\nm4PnH25C3Kt9iP/o3wSbwtFodURERDJ37kLpAieEm/j1Vw0DB/pRWgrz5llo2VJq4Ssbs9m5TJ+S\n4hkL3Z4xCg+TfbaYOauyOJV3kTq1AhjyRCRhNQOA/3WB0+k0TB7SQeVIhRB/1Pnz0L+/H3l5WqZM\nuUTv3lILXxk98ICdkBAHq1frmTatFJ2bT+hlJl+JKIrCt9uzmfDpNk7lXaRnmzq885f7yxO8EMI9\nlZbCX/7ix6FDOl591cqgQZ51dKon0Wrh4YdtnDunJTPTzTM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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -350,40 +405,40 @@ } ], "source": [ - "plt.plot(media_galera.keys(),media_galera.values(),'ko')\n", - "plt.plot(min_galera.keys(),min_galera.values(),'b-')\n", - "plt.plot(max_galera.keys(),max_galera.values(),'r-')\n", + "ma, = plt.plot(media_galera.keys(),media_galera.values(),'ko', label='media')\n", + "me, = plt.plot(min_galera.keys(),min_galera.values(),'b-',label='minimo')\n", + "mi, = plt.plot(max_galera.keys(),max_galera.values(),'r-',label='maximo')\n", + "plt.errorbar(media_galera.keys(),media_galera.values(), yerr=desvio_galera.values())\n", "\n", "plt.yscale('log')\n", - "plt.errorbar(media_galera.keys(),media_galera.values(), yerr=desvio_galera.values())\n", "plt.xlabel('Numero de Amigos')\n", "plt.ylabel('Numero de Jogadas')\n", - "\n" + "plt.legend(handles=[ma,me,mi], loc=2)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Observe que as barras de erros estão maiores agora para valores mais baixos, isto acontece por que o eixo vertical está em log.\n", + "\n", + "Podemos ver que o crescimento da curva vermelha e azul claro parecem ter a mesma inclinação (para este plot que está em log), enquanto a curva em azul escuro só começa a crescer significativamente tardiamente (após 'número de amigos' > 9).\n", + "\n", + "Agora podemos afirmar com uma certeza maior que o erro sobre a média, toca a curva em azul escuro na maioria dos pontos. A curva azul escuro representa o número de jogadas mínimas." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { - "collapsed": false, - "scrolled": true + "collapsed": false }, "outputs": [ { "data": { + "image/png": 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dx8wBADAcZQ4AgOEocwAADEeZAwBgOMocAADDUeYAABiOMgcAwHCUOQAAhqPM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\nvF6vDh48qOHDh2vJkiWWZ5F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"text/plain": [ - "" - ] - }, - "execution_count": 10, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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06KOP6qabbtLrr7+u8vJyjRgxYsjfaWlp92l0ARt6GnLCOWWlKb0vX1ZWmtL7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\nAcsQ4csl/WHkiWRoK95aumoawJgrquX9FhR9x99MdOyl0kJ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- "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -391,27 +446,36 @@ } ], "source": [ - "# Set up the matplotlib figure\n", - "f, (ax1, ax2, ax3) = plt.subplots(3, 1, figsize=(8, 16), sharex=True)\n", + "f, (ax1) = plt.subplots(1, 1, figsize=(8, 8), sharex=True)\n", "sns.set(style=\"darkgrid\")\n", "\n", - "x1 = np.array(max_galera.keys())\n", - "y1 = np.array(max_galera.values())\n", - "sns.kdeplot(x1,y1, cmap=\"Greens\", shade=True, shade_lowest=False,ax=ax1)\n", - "ax1.set_ylabel(\"Maximo\")\n", + "x1 = max_galera.keys()\n", + "y1 = max_galera.values()\n", + "sns.barplot(x1, y1, ax=ax1, color='r',label=\"maximo\")\n", "\n", - "x2 = np.array(media_galera.keys())\n", - "y2 = np.array(media_galera.values())\n", - "sns.kdeplot(x2,y2, cmap=\"Blues\", shade=True, shade_lowest=False,ax=ax2)\n", - "ax2.set_ylabel(\"Medio\")\n", + "x2 = media_galera.keys()\n", + "y2 = media_galera.values()\n", + "sns.barplot(x2, y2, ax=ax1,color='g',label=\"media\")\n", "\n", - "x3 = np.array(min_galera.keys())\n", - "y3 = np.array(min_galera.values())\n", - "sns.kdeplot(x3,y3, cmap=\"Reds\", shade=True, shade_lowest=False,ax=ax3)\n", - "ax3.set_ylabel(\"Minimo\")\n", + "x3 = min_galera.keys()\n", + "y3 = min_galera.values()\n", + "sns.barplot(x3, y3, ax=ax1, color='y',label=\"minimo\")\n", "\n", + "ax1.legend(ncol=3, loc=\"upper left\", frameon=True)\n", "plt.xlabel('Numero de Amigos')\n", - "plt.ylabel('Numero de Jogadas')" + "plt.ylabel('Numero de Jogadas')\n", + "plt.yscale('log')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Este gráfico de barras é uma outra forma de comparar o crescimento desses três conjuntos de dados: Vermelho, verde e amarelo, que representam no número de jogadas 'máxima', 'média' e 'mínima', respectivamente.\n", + "\n", + "Comparando os crescimentos, observamos que o número médio e máximo de jogadas de jogadas tem um crescimento expressivo desde um grupo muito pequeno de pessoas até um número mais alto. Enquanto que o número mínimo de jogadas somente aparece em um número de amigos alto. \n", + "\n", + "Vamos criar uma nova tabela com uma unica coluna chamada indices." ] }, { @@ -420,22 +484,109 @@ "metadata": { "collapsed": false }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " indices\n", + "3 3\n", + "4 4\n", + "5 5\n", + "6 6\n", + "7 7\n", + "8 8\n", + "9 9\n", + "10 10\n", + "11 11\n", + "12 12\n", + "13 13\n", + "14 14\n", + "15 15\n" + ] + } + ], + "source": [ + "index = {3: 3, 4: 4, 5: 5, 6: 6, 7: 7, 8: 8, 9: 9, 10: 10, 11: 11, 12: 12, 13: 13, 14: 14, 15: 15}\n", + "dados1 = {'indices' : index}\n", + "tabela2 = pd.DataFrame(dados1)\n", + "print tabela2" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Agora podemos utilizar o pandas para concatenar nossas duas tabelas e assim criar uma terceira tabela. \n", + "\n", + "Através de 'pd.concat()'." + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "collapsed": false, + "scrolled": true + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " minimo media maximo desvio indices\n", + "3 1 1 3 0 3\n", + "4 1 2 10 1 4\n", + "5 1 3 13 2 5\n", + "6 1 5 17 4 6\n", + "7 1 7 38 6 7\n", + "8 1 13 68 14 8\n", + "9 1 29 132 27 9\n", + "10 1 51 348 67 10\n", + "11 1 69 321 68 11\n", + "12 3 195 840 176 12\n", + "13 16 339 1804 344 13\n", + "14 20 647 3903 772 14\n", + "15 1 989 3961 887 15\n" + ] + } + ], + "source": [ + "tabela3 = pd.concat([tabela, tabela2], axis=1)\n", + "print tabela3" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Fizemos esta concatenação para que possamos gerar uma regreessão linear dos nossos dados. Para isso iremos utilizar a coluna 'indices'.\n", + "\n", + "Para a reta de regressão utilizaremos 'sns.lmplot()'" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "collapsed": false + }, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 11, + "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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EYWFZ76OGE9JDUmrqmF7vS+QBALhCIxOHKdUzMtJjfA7vyQMAYCgiDwCAoSyP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\nAElFTkSuQmCC\n", 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KIi8vj169erFp0yYANm/eTJ8+fQgJCWHfvn3k5OSQm5vL7t276dat23UfPzo6mkOHDl3x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\noDqGk4nIzVAZSZXicDhYm3C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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -443,44 +594,37 @@ } ], "source": [ - "# Set up the matplotlib figure\n", - "f, (ax1, ax2, ax3) = plt.subplots(3, 1, figsize=(8, 16), sharex=True)\n", - "sns.set(style=\"darkgrid\")\n", - "\n", - "\n", - "x1 = max_galera.keys()\n", - "y1 = max_galera.values()\n", - "sns.barplot(x1, y1, ax=ax1)\n", - "ax1.set_ylabel(\"Maximo\")\n", - "\n", - "\n", - "x2 = media_galera.keys()\n", - "y2 = media_galera.values()\n", - "sns.barplot(x2, y2, ax=ax2)\n", - "ax2.set_ylabel(\"Medio\")\n", + "sns.set(style=\"ticks\")\n", + "sns.lmplot(x=\"indices\", y=\"media\",data=tabela3,size=6,ci=None)\n", "\n", + "Md, = plt.plot([], label=\"regressao\", linewidth=3)\n", "\n", - "x3 = min_galera.keys()\n", - "y3 = min_galera.values()\n", - "sns.barplot(x3, y3, ax=ax3)\n", - "ax3.set_ylabel(\"Minimo\")\n", + "plt.axis([3, 16, 0, 1050])\n", + "plt.legend(loc=2)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Como era esperado, a regressão não se ajusta bem sobre os nossos dados.\n", "\n", - "plt.xlabel('Numero de Amigos')" + "Podemos tentar uma curva exponencial." ] }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 14, "metadata": { "collapsed": false, - "scrolled": true + "scrolled": false }, "outputs": [ { "data": { - "image/png": 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aaIVmk8jwsiyLv7eHWOv18ZdmP1Gr7zGnAdNLPMytzmV8jith+8w/8yraX76f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8ebl7DEREpHZp2VYhIiKCmJgY2rdvb3YpIiLyM0dzTz12F/faa69x4cIF2rRpY3YpIiJS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\nw969e+ncuTOTJk3S9XWp8xT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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -488,31 +632,34 @@ } ], "source": [ - "sns.set(style=\"darkgrid\")\n", - "g = sns.lmplot(x=\"minimo\", y=\"maximo\", hue=\"media\",data=tabela, size=7)" + "from scipy.optimize import curve_fit\n", + "\n", + "def func(x, a, b, c):\n", + " return a * np.exp(-b * x) + c\n", + "\n", + "\n", + "x = np.linspace(0,4,13)\n", + "y = media_galera.values()\n", + "yn = y + 0.2*np.random.normal(size=len(x))\n", + "\n", + "popt, pcov = curve_fit(func, x, yn)\n", + "\n", + "sns.set(style=\"ticks\")\n", + "\n", + "plt.plot(index.keys(), media_galera.values(), 'ko', label=\"Dados originais\")\n", + "plt.plot(index.keys(), func(x, *popt), 'r-', label=\"Curva de ajuste\")\n", + "\n", + "plt.legend(loc=2)\n", + "plt.show()" ] }, { - "cell_type": "code", - "execution_count": 13, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "image/png": 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Bvx97a8mvLevKmojqxzRNBEIqLNEJWebv10SNJBLPYnwqiokpFadm4zBMCwDw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\nWloIDg4mMjLysffJtCg8PJy4uDh0Oh2zZs0iJCS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- "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "cell_type": "markdown", + "metadata": {}, "source": [ - "sns.set(style=\"darkgrid\")\n", - "g = sns.lmplot(x=\"minimo\", y=\"maximo\", data=tabela, size=7)" + "Como ja era esperado o ajuste exponencial se ajustou melhor aos dados. Mostrando que o crescimento de um jogo de Zerinho ou Um cresce exponencialmente à medida que aumenta o número de amigos. \n", + "\n", + "E ainda, esse crescimento tende a ter maior número de interações em média " ] }, {