From 729e585da14c9fea22febc4b775a30ca9735b02f Mon Sep 17 00:00:00 2001 From: Ulrich <ulrich.kerzel@rwth-aachen.de> Date: Wed, 16 Nov 2022 09:26:15 +0100 Subject: [PATCH] solution to random walk in 2d with comparison regarding performance --- pythonintro/RandomWalk2D.ipynb | 5 +- .../solutions/Solution_RandomWalk2D.ipynb | 481 ++++++++++++++++++ 2 files changed, 484 insertions(+), 2 deletions(-) create mode 100644 pythonintro/solutions/Solution_RandomWalk2D.ipynb diff --git a/pythonintro/RandomWalk2D.ipynb b/pythonintro/RandomWalk2D.ipynb index 7e2d917..b7643ed 100644 --- a/pythonintro/RandomWalk2D.ipynb +++ b/pythonintro/RandomWalk2D.ipynb @@ -15,7 +15,7 @@ "\n", "### Exercise:\n", "\n", - "* Write a program that contains a function to create data from a 2D random walk where we take 100 steps. \n", + "* Write a program that contains a function to create data from a 2D random walk where we take 5000 steps. \n", " * Let each random walk start at (0,0), i.e., the first pair of values is $x=0, y=0$. \n", " * Make the step size an optional parameter, the step size is fixed for a complete random walk.\n", " * Hint: Think about what the function should return.\n", @@ -25,7 +25,8 @@ "\n", "\n", "*Hint*: \\\n", - "Think about which modules can help you so that your code is efficient and fast.\n", + "* Think about which modules can help you so that your code is efficient and fast.\n", + "* Numpy provides various random number generators in the sub-module ```np.random```\n", "\n" ] } diff --git a/pythonintro/solutions/Solution_RandomWalk2D.ipynb b/pythonintro/solutions/Solution_RandomWalk2D.ipynb new file mode 100644 index 0000000..cc1c050 --- /dev/null +++ b/pythonintro/solutions/Solution_RandomWalk2D.ipynb @@ -0,0 +1,481 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Random walk in two dimensions\n", + "\n", + "A random walk is a sequence where decide randomly in which direction we can move. For example, in a one-dimensional random walk, we decide randomly if we move left or right.\n", + "We could take a coin, toss it and move right if it shows \"head\", or left if it shows \"tail\".\n", + "\n", + "Similarly, in a two-dimensional random walk, we need to decide if we move up, down, left, or right.\n", + "\n", + "In the simplest case, we aways take steps of the same length, but we could also vary our step size and take short, medium, or long steps.\n", + "\n", + "### Exercise:\n", + "\n", + "* Write a program that contains a function to create data from a 2D random walk where we take 5000 steps. \n", + " * Let each random walk start at (0,0), i.e., the first pair of values is $x=0, y=0$. \n", + " * Make the step size an optional parameter, the step size is fixed for a complete random walk.\n", + " * Hint: Think about what the function should return.\n", + "* Plot multiple random walks on top of each other. \\\n", + "* Calculate the distance of between the start and the end of each random walk. \\\n", + "* For 200 random walks, create a histogram of the distribution of the distance.\n", + "\n", + "\n", + "*Hint*: \\\n", + "* Think about which modules can help you so that your code is efficient and fast.\n", + "* Numpy provides various random number generators in the sub-module ```np.random```" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "# all imports\n", + "import numpy as np\n", + "import pandas as pd\n", + "import matplotlib.pyplot as plt\n", + "import matplotlib as mpl\n", + "import seaborn as sns\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Solution 1\n", + "\n", + "We calculate all loops ourselves, as well as the Eucledian distance $d = \\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [], + "source": [ + "\n", + "def random_walk(n_steps = 5000, step_size = 1):\n", + "\n", + " # we always start at (0,0)\n", + " x_points = [0]\n", + " y_points = [0]\n", + "\n", + " # do the random walk:\n", + " for i in range(0, n_steps):\n", + " # choose direction:\n", + " x_dir = np.random.choice([-1, 1])\n", + " y_dir = np.random.choice([-1, 1])\n", + "\n", + " # calculate new positions: last position + step_size * direction\n", + " new_x = x_points[-1] + step_size * x_dir\n", + " new_y = y_points[-1] + step_size * y_dir\n", + "\n", + " # append to arrays\n", + " x_points.append(new_x)\n", + " y_points.append(new_y)\n", + "\n", + " # calculate distance between start and end as Eucledian distance\n", + " # NumPy returns an np.array, we just need the value, so we return the 0th element\n", + " distance = np.sqrt( (x_points[-1] - [x_points[0]] )**2 + (y_points[-1] - y_points[0] )**2)\n", + " \n", + "\n", + " return x_points, y_points, distance[0]\n" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": {}, + "outputs": [ + { + 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0GSdZzyVUjgpqg05LMjhRIYSQFsai9o+Fx6HJOMl6LqFyVFAbdFqSQUeFEEJaEI1P4fol6Os0jgqqw6PxOFzPBdUx0tQkSlPrB41pGu+lytBRIYQQ4sXnR7gfyj4nJT6hQM6KZh/f9vgEQuNx+LJYUB0jd5KC2tCAxjSt90I4USGEkJbCIgNFk8WStQ1NP1EWi6aOkUWeC+or6wdlgxMVQghpISwyUDRZLFnb0PQTZbFo6hhZ5LmgvrJ+UDboqBBCSAbK6hmkyUBxHQvkrKRpA/VTBNcLch2UNI4Kuq4+hwX5N3RU6qGjQgghOVPmLIykGSg+xwI5K0nbQP0U8TsnKIvFrS/ky1GJt4Gua6OMFOTfJK0fRF6DExVCCElBVbIwNOeBHAuNs2LhaSDnBOWkaHJULHwTC/+G7IUTFUIISUFVsjA054EcC42zYuFpIOcE5aRoclQsfBML/4bshY4KIYRkAHkJPtJkdOSNz5dAOSAuaRwVhK9NVJfHdVC6NvdJ+6RxDbf72kjqm4jg2kh0VOqho0IIIQFAXoILqgHTLNwPTFQzx4c7oUCeBqLReKK6PPFJyIIla+TsRSvrnBR3koIyTjTn4ctiQX5OK09SksBRIoQQA0J5GiGw6KdmPLL+POpn1+a+Oielc3Nf4jY0/UBZLGW57kWFExVCCDEglKcRAot+asYj68+jfrZPGlfnpHTEln+0bWj6gbJYynLdiwodFUIIMcT1ElyfQiS5+xECnwti4VRo6gENdkxNv9yvuzb1SfvkvZOSzs19dZOUDd2vygFt+yRqU3NdUZ5LEa5zkaCjQgghTSD+YebL/BDBNWBC08gFscj9iI9HmnwSd5KC3JkFS9bI2TfXOynxScqCJWvkPd94dECOCrommuuK8lw4SUkHJyqEEJIDmjozRXAXNA6GRe6HRT4JdFI2OU7KpnonZUP3q3XbN3S/mvgYmuuqyWshejhRIYSQHNDUmSmCu6BxMCxyPyzySaCTMtlxUibXOykHtO1Tt91d/tEcQ3NdNXktRA8dFUKaRKtnKFQV97qmcVRCuAya/BdUD0iTGZP0uGkcFdcF6dzUVzdJ6drSJ+0TB3dUUDaLu11zXd1+pRmvKkNHhZACwzof1cR3Xd0PM+RYhHBWfP10P0B9+yTNjPGRJJ9E4874XJD4JGXBkjVy9jfrnRV3kuJzTuLH8G3XXNf4JCXteBFOVAgJDut8VBOLmjkhnBVNP9E+WTNSNG1ojoFckK4t9c5K15aBOSrIObFwjSzGq5XhRIWQwLDORzWxqJkTwlnR9BPtkzUjRdOG5hjIBWmfWO+sxJd/9oCcEwvXyGK8Whk6KoQEwl2vpqNSDZDHoamhg/wIC7chaZ6JZp+sdXw0/dK4MyivxHVUfLV+3GuAXCNNvSDXhUlzDaoMHRVCCoRvHb2VX1BVAXkcjVwk5D9oPI0k+NrQ3H9oH1TLRgPKWdG4M/EJg68f8UmK71kUqXdOkGvUqA3XnXHzWpJkypC98E1JSM4wU6GaII9D44Ig/yGEC2KBhVtj4c6gfmieRXQMTRsor4WeWjI4USEkZ5ipUE2Qx6FxQZD/EMIFscDCrbFwZ1A/NM8iOoamDZTXQk8tGXRUCMkJdw07Td0P5i4Uj6ROis9DSOo/5OGo+HJAkuKeh++eTlrbJ02byJVBTovve+7PoDo+vn1cR2Vjz1bZf8LYhsdoNWeFjgohTcS3ho3W0V2Yu1A80jgp7gdPGv/BYrKqqVWTBN95uBOKNLV94uPV6DlJksWCnBYR7JAtWLJGzvraIw2f50b7xCcpC5askXd/fUXDY9BZaQwnKoQYg9awNev5zF0oHhZOioX/kBVNLggihE9i8Zxo+onG/OXebXXbX+7dNqANtM/Gnq112zf2bE3cz1aGExVCjEFr2Jr1fOYuFA8LJ8XCf8iKJhcEEcInsXhONP1EY77f+DF12+NLO9p99p8wtm57fPlH289Who4KIQb41pbdNew0WRl5eAUkG3k4Ksh/sKj9kyYXJGmbaY6bNFNGZOBzgfJJNNks7vm7PkkaR8Xtu9tmq2cr0VEhJBCN1pbjL6C0WRnWXgHJThInpdG9kcR/sKj9kzYXBJE0iyVNTR13kuJ7VlA+iaZGUXzMfT5JfALSaLzi+/iuW3ySwmwlPRwVQjIQKivDwisgtlg4K8htCJFPEirnx6KmTlYnRfOsIZ9EM14WeS5kL5yoEJKBUFkZFl4BscXCWUFuQ4h8klA5PxY1dbI6KZpnDfkkmvGyyHMhe6GjQogBvrVl5JegdXZNGyHWtFtt3TwpyH/Q3Buu29C1qU/aJ++NfU9T+yept+FzLtBxNPdGUldL42ElPTeNo+J+D/kkmiwW99zcr9M4KknrLxUZOiqEBMR9cfjWweMvX7TOrmkjRO4Csx0wyH/Q3Buu/3D2zSvr3IWktX9QPzTZIug4mnvD52HE72Gfx6H5bWESJ0VTP8h3rsgn0WSxxK+b71zjbWjGE+1T1eylYBOV66+/XoYMGSJz586tfW/79u0yZ84c2XfffWXcuHFy3nnnSVdXV6guEZILaB1cs05ukQ+RFWY7JMPiunZt6qtzFzo39ZkfQ3NdQ+SThPBvLM5V45NkPVeLXJoqZy8Fmag8/vjj8q1vfUve/OY3133/yiuvlLvvvlvuuOMOWb58uaxfv17OPffcEF0iJDfQOrhmndwiHyIrzHZIhsV1bZ88rs5d6Igt/1gdQ3NdQ+SThPBvLM5V45NkPVeLXJpKZy9FOdPb2xvNmDEjuv/++6NTTz01uuKKK6IoiqItW7ZEI0aMiO64447avs8880wkItGKFSvU7Xd3d0ciEnV3d1t3nRA1O/+8e8D3tu7YlehrH+4+7nF8x81K77YduR+jSrjjo7nO7vc29myt+/pPr/TWfd21pS9xm0nvHU2bqI0tr24f0MYrvdvqvnbvL/S1BnSPap4b91zdc3HPQ3Ou7j7oXDX9Snod04xnKLSf37n/L9KcOXPkXe96l8yePbvu+6tWrZJdu3bVff+www6TadOmyYoVKxq2t2PHDunp6an7R0gzabRuHP8/Go2T4iPJWrwFqPYKqQf5D5p8HF+OSvw3KQuWrJH3fOPRQWv/5JUtkqSNRjk/KBMGeRwa0D2qybZBmUUoF0mzDzpXjc+UxL+xyOApArm+gW6//Xb55S9/KQsXLhywrbOzU0aOHCkTJ06s+357e7t0dnY2bHPhwoXS1tZW+zd16lTrbhOixmIN3Oo4WbFwBloJC2cA5ahs6H61bvuG7lcHtBEiWwS1oclAsajtkxWL3CPNuaJ9QtQxqtLznNtEZd26dXLFFVfIbbfdJqNH2/2N+FVXXSXd3d21f+vWrTNrm5CkWKyBWx0nKxbOQCth4QygHJUD2vap2x6vxqs9jkU/URuaDBSL2j5Zscg90pwr2idEHaMqPc+55agsXrxY3vve98qwYcNq39u9e7cMGTJEhg4dKvfdd5/Mnj1bNm/eXPdblUMOOUTmzp0rV155peo4zFEhzUBTz0WTk5L1OBaZCW6bKPuhyqTJsUDjp6kr4+aouFkiG7pfrZukdG3pk/aJ9aJt0vo3Lr5+otwelJHiA9W/Qdt9JM36SZN7hK6Rr113H4t6X0nfCb7ntyjPdNNzVE477TT5zW9+I6tXr679O+aYY+T888+v/feIESNk6dKltZ9Zu3atvPjiizJz5sy8ukVIZjSuSFonJclxLDITfMewcAbKSNoci/g18Y2Xe919eRvxD0Cf2xCfpCxYskbO/ubKAXVmkBuDPsjdfvr64dYoGiwjpRHx+8tXUwdtd0mT9ZM098jnEbnniuopWdT7SvNOcCckZXymc5uojB8/Xo444oi6f/vss4/su+++csQRR0hbW5tcfPHFMm/ePHnwwQdl1apVctFFF8nMmTPlhBNOyKtbhGSiKE5KiGNUaY0bYZFjoRkvlLeB3IauLfU5K11b6nNWRGzuDdQPi1o1qKYO2i5i426h8UIekaYfFvW+LN4JZX2mm6rz33TTTXLWWWfJeeedJ6eccop0dHTInXfe2cwuETIoRXFSQhyjSmvcCIscC814obwN5Da0T6zPWXGXf0Rs7g3UD4taNaimDtouYuNuofFCHpGmHxb1vizeCWV9plnrh5SeZtSiSVM7xMJRcZ2API6BHBWLeiShQP1I6pto9nG/dv0SkYHX0fUwkB/hc1Tc+kDuveCrTRPHPYavH+7XqLaND3c83HN3z8PnqGSteaVxVNx93PHxjRe6N5DDo3l+kzoqvjbT1I7Kg6Y7KoSEoFm1aJJmUKT1SZATYH0MlHNhUY8kFKgfaXwTzT6uY+FmoIjU5234PAzkR7iTFF99IDerxb133J93j+H2A2WLaNwH33i4NXXc83AnKcidQWhyVHz7uPWYfOOF7g3k8GgmC0lyVBq9E5LWjmo2nKiQ0lKEWjQWtVc0ICfA4hgh6pGEImsNGM1aPtpHk4GCPAyNH4HqA6F7R3MMi1wQNB7oPDT9QFjcw5rxKkImTKh3Uwg4USGlpQi1aCxqr2hAToDFMULUIwlF1howmrV8tI8mAwV5GBo/AtUHQveO5hgWuSBoPNB5aPqBsLiHNeNVhEyYUO+mENBRIaUDrdGG8CNCOSrIM3DXvJNmZ/j2SeOoWOS9ZF0nT9MvlHvhcy5Q7ofrWPgcla7NfdI+qbGHgXwI9xgiIp2b+uo+3F2Pxb133O0+5wLdb2gsNOPhbnfPw+fWIHfGxeK5cNvwjVfWDCKLHJ807x06KoQYgryCEH4EWhcWsclR8bWBaomgdXbNuSStR2KR95J1nbzRuaJ7A9WqcT9kNLkfrmPhTlIWLFkjZy9q7GH4/AfXj3CPITKwPpCbteJ6Me5290MX5aSgsdCMh2+7ex4+twa5M3HSZMq4+/jacMcL+UoIixwfi5piRYQTFVIasnoHIfogYrPui9pAa/WhckGKsE5uca4a9wH5JBrHomuzs8/m+n2Q/6A6Bsha0WSxIK9Fk3GC+prVrRGxySdBhMgnsbiHy+KbpIETFVIasnoHIfogYrPui9pAa/WhckGKsE5uca4a9wH5JBrHon2Ss8+k+n2Q/6A6Bsha0WSxIK9Fk3GC+prVrRGxySdBhMgnsbiHy+KbpIGOCikdaE02jbOC1pLTtJl03VfjubigPAkLb0Oz7p50ndznFGj2SXIemp9BroPPBUG5HwNcEZ9PsrmvbpLiOiuu/+B6He4xfPu4DorbD+Sw+L6HMk58+S5uX9G5aPqVNN9FU//GBWWNaPJJsub4aPbJo/5XKOiokMqC1mSTOiso/0FT28dHkpeFJovFR/zlrOlnGsdHU/snyTp5I6dAs0+Sc/WBnBTXwfC5ICj3Y4Ar4vNJJjn7LGrsi/iyR9xJim+f+Ie9rx/udp8LMsBrGSTjpFENInc8BjsX5NaI6K7bYHlDmrwXVLNJk0+SNcdHs4/Gl6sCnKiQ0oLWZDXrvhbZIXmfhwaLNW4LZyWrW6PZx+KawJo6Ghcko4Mhgp0VTRZL1nwSjQsCz1XhvcB+KtrIWoPIIh/Hoi5PiOe1SnCiQkoLWpPVrPtaZIfkfR4aLNa4LZyVrG6NZh+LawJr6mhckIwOhgh2VjRZLFnzSTQuCDxXhfcC+6loI2sNIot8HIu6PCGe1ypBR4WUHrR2rKnfYlHfJitpHBUXixwGtOatGT/km/j8E1TvJs11RSAnxeeCJHVSVG04zgpyVHzjhxyVNC6Ie02Qb+JzVFDtowHXIIWjgmpiafJx0D5pspOSPmsaR8WlKHW10kBHhbQMaO04/hA3Wp9Omh2SB5osFkRSTyNNLoP7gkfr+cgpEMH1btJeVwRyUnwuSFInRdWG46y4OSrxD/ZG/s6AfJJvgn4CF8R3TZBv4k5SfNcFnYvGnUFuFsobcu9htE/a7KQkz5omC8hHWScpSaj+GZKWAa0dW6xPhyJEJoJFLgMaL4t8EovrigjmpIB9UI6KZjwtclTQNdG4M1nvDY07Y5GPY+FEZfXlWsk3SQMnKqQyoLVji/XpUITIRLDIZUDjZZFPYnFdEcGcFLAPylHRjKdFjgq6Jhp3Juu9oXFnLPJxLJyorL5cK/kmaaCjQioHcio0OSB51OhAvomvjTQ1SpKCzl2Tb+L+DHIENI4K6ofrcfiuGRpz5GCoauo4GSip2nD2QbV+NNcgaY6Kpq6Re11d38Tnk6Dnzz0X91x9baLnAt2zabwXzTsiqaOieb7L7KAg6KiQlgVlJrgvF5QdgtBktSDfpFEbSWv3pAG5Hpp8E7fezWA1Yhq1Ef9ARP3weRzuNUNjrnEwVDV1FqXIUQH7uDkq7rm6kxTfeCXJUWnk+Lg5Ke51db0Yn0+C/C/XE3LP1Z1QIBfEtx3lrLj7IJ+k0Xih5zVJBlSjNloRTlRIZbGoVYMIsX5t0U8NFr4J8go0baB+II9DBI95iLo9IZwVzXihY2ieE3RdNT5JiOuKtlt4L6FqYNFb2QsnKqSyWNSqQYRYv7bopwYL3wR5BZo2UD+QxyGCxzxE3Z4QzopmvNAxNM8Juq4anyTEdUXbLbyXUDWw6K3shY4KqTzIdRBJVzdmsJ/XHDeNf5JHXY+kGTKaOj1pHJWkrkwal8FtM2ndHu8+bt0ekF8iovBanDbcc9Xklbg/4x7DHS9NPo77M5pr4Hos6P5K4x6hrzX9TJqbohmvpPe0xp+rEnRUCPlf4g9+I28haX0gF/dFkqZWSNIMlDQ5Ky7I4fGNhTvB8PUD5Vi4bSBPyHcM1+PweQfIV0pSt6fhPm7dnkHyS2r7IK/lm4M7K76aOq4n5Loe7jHc8dLk47i1f5BP4staQfdX/Fw1LgiqLaXpJ8pOSpsnlMT/0tTRalU4AqRlCLUubFErxOJcsvbTwr/ROClZ1/Mt/AiTHBVFPgn0WgwyUJDrEconQVkrIWpLWTg+FnlCWbe3OpyokJYh1LqwRa0Qi3PJ2k8L/0bjpGRdz7fwI0xyVBT5JNBrMchAQa5HKJ8EZa2EqC1l4fhY5All3d7q0FEhLYfP60AZCsgF8W1HWSxp/BK0Fp8GtG6u8XdQP9D4NvreYMdA9V18P4Oci1QZKG5eCfBLRAZ6LQNcGdCmz1FxXRCUvYI8IpHkmSe+c0W1fdB119TlQfeGxntJU9sH9RV9rfGEqgwdFUIa4L5sfA5FEhek0Xb0wkk6wUBr8WlBLojG30H9QBkV7nF8oIwKTd4GyntJlYHyzcb5JD4/QmSg1+LmuQzIQBnkGHv2cV2Q+Aez7x5HHpFI/Xj59kF5LyK4tg+67pq6POje0HgvSWv7oL4i/0vjCZHX4ESFtDTIocia22BFiONY5L0gQrWR1WtROSvAF9H4ETDPReGkIBcE3eMW9XA056o5DiJrXZ4Q2Uqa42g8IbIXTlRIS4Mciqy5DVaEOI5F3gsiVBtZvRaVswJ8EY0fAfNcFE4KckHQPW5RD0dzrprjILLW5QmRraQ5jsYTInuho0JaDo2jktTbsHBFfIQ6ThzkdVjUI7HIhkjjziBPAzkrIrhmjsbbSJrn4h7D9T5830N+iSbbBrWBvBgRnMODvAyNo5I0B0mTV2JxjyZ1VEI830WCjgohHhr5JPGXHso7SLt+nZRQx3FB2Q4W9UgssiGSujPI00DOyp59BquZ4/M03A/uNHku7jFcH0Wk3gVBNXU02TaaujyDeTEiOIenkS+Ctiepy+NDU+/L4h5Fzkr8/rPIRaoqnKiQlsEiDyFU/Y0i1PkItZ6fFU0fkNugcQaKUJcH+SiaY1jUW9L0I6svEur+K0IdrVCuW1nhRIW0DBZ5CKHqbxShzkeo9fysaPqA3AaNM1CEujzIR9Ecw6LekqYfWX2RUPdfEepohXLdygodFVJ5LPIQUJt5kXTdPMS6uqZWUjPQ1FtCOSCuM5AmRyVNXRlUH8jth89RcfdB103jiqB+uv3Q3BtJ7680jkoa1yOPexidu6bfRXi28oKOCiFik4fgI9SLI0kNojSuiAvKftDUSmoWmnpLrmMxWA2YtDkqmhpEbp7GYPWBfP1wJym+fdB107giqJ/xfmjujTT3lyZHxaIGlvU9jOpXad5NFs90FWj+24WQnCiCP2EFOpey1CgKRdZaNRY5KirvBdX2MahBhK6bxgVB/bTwvzRtZM09CoXF81ql91dWOFEhlaUI/oQV6FzKUqMoFFlr1VjkqKi8F1Tbx6AGEbpuGhcE9dPC/9K0kTX3KBQWz2uV3l9ZoaNCKk+V1njRmnYejkqZsx6Q/+D6JMgVEfF4LKAOj89RcR2LAW04vkmaGkTuuaE6URoXxO2nm/+iqXmVtAaWL5sFZcAU5R5N6pRZZBSVCToqhPwvVXrI0Vq8dfaDz7EowgeAFuQ/uD7JYK7Inn3c8UB1edxJis+xGNDGzcmcFd8+rn8Tv25pXRC3n26NIvfeQE6Kj3gbjeoHoUyYotyj6HnUOGhVen+lhSNASAkJsRZfpXokaLw0NXVgfSBFG8ixQL6JxllB/o2FC4JqFIno3JfBCFU/qAjQRxkcTlQIKSEh1uKrVI8EjZempg6sD6RoAzkWyDfROCvIv7FwQVCNIhGd+zIYoeoHFQH6KINDR4WQEhGi9g9yVMq0Zo7GC+WE+HDHA3kuGsfC3QdltfjcGdQmclY0jor7teuoaLJYEOg8fH0vqqOSFDoqfqp59oRUkBC1f1A9kjLlOqDx8p0rmqSIDMxacR0KVPtHBOe5oKwWd5Li8zRc/2YwZ0VTU8d3jPgkRZPFgkDnIYIzYcpcM8eijlYV4USFkBJQhHokZVpHz1pnRgNyKDSOBcxzMfBe0DE0Y4GOYTGeGt8E+TVFyVGxoEzPW95wokJICShCPZIyraNnrTOjATkUGscC5rkYeC/oGJqxQMewGE+Nb4L8mqLkqFhQpuctb+ioEFJg8shJcUlaj6RMa+ao75o6Ri4o5wM5LL7vuV+77ofrqGh8EreNNI6Key7IBUnjqKB6TD6q6qj4KPPzh6CjQkjJySsnJU6aeiRlekminApNHaM4miwWN2fFnaT4fBG3DTefJD5J0fgkvjbix9DkqPjOBbkgbhuN+jrYds1f7sQnIUXOUbEgSb2vqlKeNw4hLUSItfYQ9YOKAjoXzXijfTS5M8gXQfkkGhcEtaE5V3QuFrV9QnktVaFKz2NSOFEhpICEWGsPUT+oKKBz0Yw32keTO4N8EZRPonFBUBuac0XnYlHbJ5TXUhWq9DwmhY4KIQXBt64eYq0drYGXeU08q6OiuSauH6HJnUnqqGjq5bj9cttAHoevJpH7PVT3yefjIAclac6Krx8o76VKVOn5pKNCSIlo5EeEWGtHa+BlfQmic/H5EagejruPz4/Q5M6gjBOUT+J+sPv6Gm8DeRw+H8U9F1T3qVFmTLyvvn4knaQgd8Z3jCrRis5KOd9AhFSIomQ/VGkNPGuOikU9HM14WmScoL6ifmrcGrRPqLo8qB90VqoJJyqENJmiZD9UaQ08a46KRT0czXhaZJygvqJ+atwatE+oujyoH3RWqgkdFUIKgs+HCLH+XJU1b02dFOR6aBwVt03kfvj6hbJWUL99uMd1s1eQx5HGUena1Cftkweva5Q0i8UlTb809YJc0H1f1OeizM8vHRVCSob7sg6x/lwVJ6XRWCEnBeWoaK4JyhZxxxNlraC8l0a4vohbHwh5HO5kwNdP11k5++aVMDMmaRYL+nlfPwY7RiN3Jg561orsgrSCs1K+NxIhLUCI9eeqrHFrzsPCSbHIYkGOhcU1QfWBNB4H6mfXpvpjdG4aWIMoaxZLKHemKnlCZelnGjhRIaSAhFh/rsoat+Y8LJwUiywW5FhYXBNUH0jjcaB+tk+uP4ZbzVnThkUujYU7U5U8obL0Mw10VAgpCBrHIkStn7KscWv6jTI73J9J46ign/FleiCnIs01QI4KylVJ44J0buqrm6S4x/T9DPKC3DZ8/drQ/aoc0LaPup8ot0YEX1e03Qcds8Gho0JIidA4FnmtP5dxjVvj1qDMDl8bmhyV+HGQ19Io0yP+IerbJ+kHja8f8Q97X+0f1+NI44LEJyk+L8ZtA2XX+NrwuTPv+cajg7ozgzlAjZwVdF3Rdhc6ZnZU74wIKRmatWU6K3vR9DNrxolF7R+NC2KR+4H6gWr/WLggyIsRwZ6Qpo0N3a/W7bOh+9VE/dQ4K2g8LXwmC8ryvFrAiQohTUaztkxnZS+afmbNOLGo/aNxQSxyP1A/UO0fCxcEeTEi2BPStHFA2z51+8SXfzT91DgraDwtfCYLyvK8WkBHpQCUaU2R2KHJ2whRhwe1qambUoSaRD6XIamjovEQkGOBatto9kFj7rvuyJVB9YM04wdzVTyOCsqucbNY3Dbc7SLJHRX3mD5HJWkejubeoKMyOHRUSkJZnABiiyZvA60/W9w76Biauima9fqsoH42ciziHzw+PwKNp/tBhBwL33Z3woH2QWPe6LojvwbVD3InKShrxTfm7iQFZdf4slhct8bdLiJ1kxSU9+LrgztJQbWQ0t4bISYMZXTMksKJShNppTVGsheLNW6Lewe1ofEnQtQpQv3UOBbIj7DIYtHU5UH7WNQPQtdE00+L+kDQSQFZLBZZLRbnanFvhKDKnyecqDSRVlpjJHuxWOO2uHdQGxp/IkSdItRPjWOB/AiLLBZNXR60j0X9IHRNNP20qA8EnRSQxWKR1WJxrhb3Rgiq/HlCR6UAJHUCyrQGSRqTJrPDYj0arb276/fu/ei6Dpo204Da1DgWyMtI02/kl6BjaNpIUz8oab6LxqVB5+aOueuO+H7GdU4GZLFs7pP2SY23+47rfo3O1XdNUJaN5tlDPk4IyuSs0FEpEUmcgKquQbYiSTM7LDITkBvjy5hw8zbcPA73XCzuUdRPjWPh6yuq7aMZz3gbKKul0XVFbSStH5QmEwb1we0HGnNfvol7HJ9zMiCLZVHj7Xv2GcxJQefa6JrEzzWtHxY/jm+8QlBFZ4UTlQJhsVZKykeoXAZ0HJQxgfI4QvVT4wOgvlq4Neh51RzDoo2smTAaFwmNOco3EVE4KZud7Zvt6weF8sPorNjCiUqBsFgrJeUjVC4DOg7KmEB5HKH6qfEBUF8t3Br0vGqOYdFG1kwYjYuExhzlm4gonJRJzvZJyZ2UEBkodFbCQ0elAKD1ac2aY5HXIYmONI4KQpO34d5vrqPiOgU+R8X9Xpp+J80n0fgAqL6NRf4LalNzXVFeSR41iDSOinsvoDH3OSrQSXFyUzo399VNUjQ1iJKee5pnTeMJofHJI/cIbS/yZwMdlZKA1qc1XkJV1iFbHffFmdVJ0eRt+O4/ty6K6xS4kxSfC5J0nTxNPonGB4j3FWVlpAX5JJrriuruWNcg0uS9+HwlNObuJEXlpDi1feKTFE0NojR+TtJnTeMJoXs0r9yjJOdRVnI9g4ULF8qxxx4r48ePlwMOOEDOOeccWbt2bd0+27dvlzlz5si+++4r48aNk/POO0+6urry7FZhsHBSqrQOSfaS9bpa1MPR5FggFyREPolFVoYFFv5DVgdDs49mvJCvpGkDOimgto8mq8WiZpNFGxY5PYgQ2UpFJdeJyvLly2XOnDny6KOPyv333y+7du2Sd7zjHfLqq3tFqyuvvFLuvvtuueOOO2T58uWyfv16Offcc/PsVmGwcFKqtA5J9pL1ulrUw9HkWCAXJEQ+iUVWhgUW/kNWB0Ozj2a8kK+kaQM6KaC2jyarxaJmk0UbFjk9iBDZSoUlCsiGDRsiEYmWL18eRVEUbdmyJRoxYkR0xx131PZ55plnIhGJVqxYoWqzu7s7EpGou7s7lz5bs/PPuwd8b8ur2wfdx/16645dqnZJufBdw6TX1b03fD/ftaWv7mv3/nuld1vd1396pbfu607n6yiKog3dr9Z9vbFn66D96N22Y0Ab7vfcNt3tadp0zzUP3Gvg6xd6pt1r4G73vQPc47j7uOfu7u+7ru51RG241yyKBt4/bhudmwff7o6Fbx93PN1+o7HwteHu47bhO1fftR7sGBqSfh6U6bNA+/kddMrV3d0tIiKTJ08WEZFVq1bJrl27ZPbs2bV9DjvsMJk2bZqsWLHC28aOHTukp6en7l9ZaLS+mMRJ0axPk/LR6N5Icl016+i+rAvkRwxwCjy1V+K/SfG5DSgDRWRg3sZgGSi+8XL/L1bjYeQBckFE8DONckGS1iBCeS+Nrmv8NymaNnwZO/H7x9dG/DcpqL5Qo31QFhAaC7cN5DM1Olf01z1J39MW7kwVCHZG/f39MnfuXDnppJPkiCOOEBGRzs5OGTlypEycOLFu3/b2duns7PS2s3DhQmlra6v9mzp1at5dN8HCNwlRV4WEJ0T2iAjOukBOgMZZsXAbQngvIdD0wSL3I2v9IM11RW1oMnZQGxqPCO2D7j+LY2jO1QJ+Huwl2ERlzpw58tRTT8ntt9+eqZ2rrrpKuru7a//WrVtn1MN8sfBNQtRVIeEJkT0igrMukBOgcVYs3IYQ3ksINH2wyP3IWj9Ic11RG5qMHdSGxiNC+6D7z+IYmnO1gJ8HMUKsQ82ZMyc6+OCDo+eff77u+0uXLo1EJNq8eXPd96dNmxbdeOONqrar4KigfdDas6Zd38+QfEHXBDkXmjaQu+D6KL7vuev5rhPgrsW7zkEUDfQbUJu+tXz3OO7Xbhto7d53HOQQWDwnGkcF+Q9p+pXUUXGvmfe6JvRHfN6G+zPo3NM4Ki7u/de5afDziCLsM2nOFd1faaCjkrOjEkWRfOxjH5O77rpLHnjgAZk+fXrd9qOPPlpGjBghS5curX1v7dq18uKLL8rMmTPz7FrT0PzfMlrP12QAxGnktZD8QNfEd12T5uMgd6FR7ZX4b1J86/lu/RZ3Ld5Xe8X1G9wsFtd7cf+v33cc13tx27CuvWLxnKA6MyLp8lw0/7eM6tm4LtJg+Sa1fZyME+Qzub9dSFPHCB3D3cfHgCygRY3PQwT7TJpzzau2D7rPretsFZFcJypz5syR7373u/K9731Pxo8fL52dndLZ2Snbtr22btjW1iYXX3yxzJs3Tx588EFZtWqVXHTRRTJz5kw54YQT8uxaKdCscXMds3igaxLiumpqr1jU9kF+gyYLAx0HtWHhrFg8Jxa1fSxA/dA4KRYZJ1nrGGmOgdDUD0L3hqYfIZwo5qjkxKJFi6S7u1tmzZolBx54YO3fD37wg9o+N910k5x11lly3nnnySmnnCIdHR1y55135tmt0qBZ4+Y6ZvFA1yTEddXUXrGo7YP8Bk0WBjoOasPCWbF4Tixq+1iA+qFxUiwyTrLWMdIcA6GpH4TuDU0/QjhRrZyjwlo/xiStw+AD1eTQtIvqppD8QddEU2slaQ0Ttw1f7RX3e249F/drt16OW7tFZGD9FvcYbm0WTb0gd3zcNjR1VNA1QDV10jyvmuc3j5pDqB/uuQ6oubO5T9qdD3K3Dg+qSeS7rqh2mdtPdO/42nBxj+nWD/KB3rNuP3zPq+ZdnRVUy6fItX1cWOunCaSpw+CiWeP2kdRrIfmDrkn8umqyHZCT4mvDV3vF9Vbc9XzXWXFdEV/ehpu14h4DeS/ucXzjFW8jrePj5n4MVlMn7fOqyVFBnkZSNL4SzMdZNPC6Jsk4aXRdUU4U8qrcSQq6Lr5+okmKCH7PxvvR6HkN8ddlyFkpyyQlCdU7oyZhsX5osU5ehPwIUk/WnAsRfG9o2kDeCnJWNG4DOobGe7Go7ZO1po7F82qRo6Ihq+uh8TgsskXQmGq8KtRGCAcoxDE0VNlJceFExQiL9UOLdfIi5EeQerLmXIjge0PTBvJWkLOicRvQMTTei0Vtn6w1dSyeV4scFQ1ZXQ+Nx2GRLYLGVONVoTZCOEAhjqGhyk6KCx2VjKD1wTTr6Bbr5JrjknyxcFSQy+A6Ae7+vjazOiqu2yAy0Ftxj+F+7XMZ0D1s4fhYeC8uyAXxeQvIIfOdy2Dn5WsjqSfk8ziQl4HuFd/PuH13f0Zzr6B3Zh4OkIvvGoVwAdFnTpl8RDoqAUDrg2nX0S3WyVFdFJIvyI/Q1KFJU28k3kajdXSUo+I6K2lyVNxjuN6B+8GD7mELx8fCe/GBXBBNDSJNLZo9NHqek7ge3us6aeB1dc/FzRYZzGdqdC5uXR63H+694/NekLtl7QD5cJ/XEHlVaWvBlR1OVFISIivDYp28ldYxi4LFvZHVCdCso4fIUdF4B1ldD825WngvCIu8DXQumufZwhNC54LuHc25oH5o+mlRK8mCEMdp5cwsTlRSEiIrw2KdvJXWMYuCxb2R1QnQrKOHyFHReAdZXQ/NuVp4LwiLvA10Lprn2cITQueC7h3NuaB+aPppUSvJghDHaenMrPzT/POl2bV+3LoKbn2INPVc0M/46n6g+iJlqv9QFVCNDlRbxPc9VA/HrXGiaRP9jHsMX5tunRj3Z9z6Qr76LahmiTtemnN1QbV/NHW1UJvuufnOFV17VA/H9zy7P+OOufu1e418dWrQuaS531DNHE1NHVTjCl3HvN6HIWqqJa0Fl0f9ISsKUeunFYjPan3rsRpXJInX0mgNEmU38Dcp4UF5BxrHwnUCUD0c1xnQeC/x/xv2bY8fo1E/3UwO5B346rcgN8vNQEHn6iOJ96JZ70feS6NzRdceORbu84wydJAn1CjvBZ0Lunfcc0E1czQ1ddJk14SqhxPitxhJMrPyqj8UGn56GWGxtmxRj4Q5KsXDIvsBrddbOANZt2v6qfE40HhpzhUR4lkLUQ9H0wZyVjTvDHQumnsDtaEZr6w+U5WcvRDeVVHgRMUIi7Vli3okzFEpHhbZD2i93sIZyLpd00+Nx4HGS3OuiBDPWoh6OJo2kLOieWegc9HcG6gNzXhl9Zmq5OyF8K6KAnNUMoKyHNwcAl/+gfszKGPB93fyKIMC/W09c1byJ2n2g+97bqZE0gwUX5tJMyg0eSUo38VXvwXlB6FztaiJpcnfQG245+47V5RPkrTGk68NVPcpTd6L+zPuNdDcG+id6BsvF3SvoDycMr/vkuYz+a6rRU06C5ijEgCUheFbb9WsLaN1cvcFhTIo0Fo7c1bCkCT7QQT7ImkyUNzjpMmgcPvpu3+Q1+J+ECEPA52rZi0+jSfkPmsad8Ydc/dcUT4JylZq9DyjDB3kCWnyXlxnBXlCvnOJt4G2NyKJz1Slejhp8pnc62pRky405bxaBaAo69NZcwSqtGZbFiy8A4sMFIsMCgv/Bh0HnatFZpGmn6gNi3wSi6wMdC4WeS8aT8giJwoR4hhFoSjZXc2AE5WUFGV9OmuOQJXWbMuChXdgkYFikUFh4d+g46Bztcgs0vQTtWGRT2KRlYHOxSLvReMJWeREIUIcoygUJburGdBRSUhSF8Rdb3XXiUWSOyqafiVd4y7zmm1ZQNfEtzaPnAnXEeja3CftsSj0NHVS0tSeSurfaOqkuM8B8m80a/FJ+6lpE9Vf8l0D91ojb0PzTkDeC7rf3PH1HRfV+kkzXhbvnqI4FyFA45mmvlzSr62go5IDaVwQd03XzTIQqV/XRX8X3wi0ZovWuKvyEBcVdE0a5W0gX8R1Us5etHLQDIo0taU0GRRJ/JtGeRso/wH5N5q1+CT9bOS9oDZcj8jnCaF8kiRZGY3aQPcO8k1EsMOj8YTQeFm8e1AbVXq/ofFMmt2FnpMiOCvVuXo5k3U9X1PzxOLv3lu5HkRRQdfEIj+ia7NTc2dz34A2sq5PW9SesqjLo3FBsj4HmmcRtWHhrFhknGR1gETwdbMYL5IMC/+wLM4KJypKsq7na2qeWPzde0vXgygo6JpY5Ee0T3Jq7jiVcDX9CFF7yqIuj8YFyfocaJ5F1IaFs2KRcZLVARLB181ivEgyLPzDsjgrdFQGwbcuh3wRtN3nqHRt6ZP2iXs/WNI4KknXFDVtkmyga4IyKnz7IKeic3Nf3SRF46gkvXfSOCrIn/CB/Aj33DT9ckmax+H7GXRNfNfAdTvQ+GjuFeS5oH76HJWkGTuaLBtNJgxpTFLnx/cMII8llMNIRyUjjdbl0AOFtruTlAVL1sjZ31zZcK1dU28kTU4AXwz5gq4JyqhotE/8uvmcgfgkpZEfkWR92oe7PY1/k7QuD8qU0azF+0iSxyGCc41QP0X8Pkj82qNspUY+E8onQf10JylpMnY0vwXWZMIQP2kcMvcZSFNPrtmODycqHkKty3VtqfcKurbUewUWORYkPBZ5B2gf5AxYeBwW56rxbxAWdbSynoeIjX+DfBCLDJQQ2TYWvgmdlWRY+CQWNa6aAScqHkKty7VPrPcK4ss/IjY5FiQ8FnkHaB/kDFh4HBbnqvFvEBZ1tLKeh4iNf4N8EIsMlBDZNha+CZ2VZFj4JBY1rpoBHZVByGNdzrcO7DoqaB04zd/Fk/BY5B2gfdC9ovEj8six0DgVSUFZLCHyOESSOyo+BwPVyEFf+8YzqXuk6WfS3CjN+GmOSxqDrqPGs0pTTy4P6KgYYP1B3yirID5JQfVG0v5dPAmPRd4B2gc5Axo/wjrHQuPfpAFlsYTI4xDBjgW6JiL1PojvXNC5uuOZJgtD00+UbaN5N8XR1FMigxO/rug5aJRtk7SeXLPhRCUQFlkFFn8XT8ITIu9As7asuQezYpEFhNA4FiGw8DjQuVjUILK4d9B11dzDRbluVaGVsm04UQmERVaBxd/Fk/CEyDvQrC1r7sGsWGQBITSORQgsPA50LhY1iCzuHXRdNfdwUa5bVWilbBs6KjmD6pX49kmzFs/aPcXHot5S1lwQkXwcFRdNnkZS0jgWIUhaK0kEP/PIe0mTGZO0/pfve8g90rybNPWUSGPQveNuT5NtEwo6KgUA1StptE/Stfgi/t07GYhFvaWsuSAi9fdgXj6T9QdPWsciBElqJYngZx55L2kzY5Az5fYTeVWoRpHmXBo5FMQPund825Nm2xQRfprlRIisDJHyrDGSvYS4ZlXymcpSvypEjoXFNdOMF9rHoj5VCJ+pSqDxqvJ4cqKSEyGyMkTKs8ZI9hLimlXJZ7JwLIrQT5HsORYW10wzXmgfi/pUIXymKoHGq8rjSUfFGLQ+qFmvRhkLvgwFZhEUn2ZkFVh4L0WhLPWrkEsjkvw9kUdOksZnQvu47yJNvaA09YHIXlC2Uppacc2CjkoTQOuDjdbR3XVfN+ci/pJrVOejqDcieY1mZRVYeC9FoSz1q1DOhUj9M58mn8Timml8JrRPfJLSKCcKuVmcpCQDZSslrRVXBsrxhioBFjUUUM6FRd0UEp6iOBQkLBrHzCKfJCsWPpMmo4fPgS1lcbcs4ETFCIsaCijnwqJuCglPURwKEhaNY2aRT5IVC59Jk9HD58CWsrhbFtBRyQhaa9ZkKrjruu7X7jqwz1HxrYOTYlHWrJs88l3yaiMrFtcE5SD5vmdRQycraa6z+7XPUXHfV3RUbClqvpAGOioBQE6KJlPBt64bf9B9Too7SWm0Dk6KRdK6KEVA00+0j2ad3KKNrFhcE1S3p9E+yCsIMaFN6jP5xsudpPjeX6h+EEkGcqKKOklJAicqKbFYW7ZwUlg/o3xUJb9Es49mnbwIa+0W10TzLKJ9yuIVaMYLvb+qnPvRDKr8WcCJSkos1pYtnBTWzygfVckv0eyjWScvwlq7xTXRPIton7J4BZrxQu+vKud+NIMqfxbQUUkI+pt1tIbr80vcdV13TTGNo+LbhxSLsjoqPqcA3eca5yLpWrvmHk9a/yZNXgmqZaNxVCzqQIUAjY/Ph3CvU1KvjwwOut/oqLQY6G/WUd5BowyU+CTFtz7tZhX42tBkrZBiUZaXcbyfjZwCdJ9r/Jwka+2aexw5J+h51TgrqJZNI38M1fYpos+ExquRRxR/f6Xx+khjkBPFHJUWA63Jou0WtTE0bTBrheSFxilA95/GbUBr7Zp7POvzquknel4tanUVxWey8IiKkBlTJariO2ngREUJWpNF2y1qY2jaYNYKyQuNU4DuP43bgNbaNfd41udV00/0vFrU6iqKz2ThERUhM6ZKVMV30kBHJSFJ17w16+pJMxR8bSCPBWUVcF2YaPHdS8iR0ngIyPXY2LNV9p8wtuEx3O2+4yR1UDT9TOOoNKO2jwXo/aapZdbK7yKLrCB3/JL6TkWCjkpOoAcIrdm6E4w0dT7cNlDWCsoq4LowSYL7IeNbJ0f3n/scIddjwZI18u6vr2h4j/u2u8dJUzNH08/486rJUWlWbR8L0PvN/UBETgo6RpWwyAryjWcS36msVPOOKACh1myzZhVwXZhkAa2Ta7wW9Kxs7Nlad49v7NmaaLuIzX1u4aRU5Xm0eL+1EiEcnyo5KS6cqOREqDXbrFkFXBcmWUDr5BqvBT0r+08YW3ePu8s7aLuIzX1u4aRU5Xm0eL+1EiEcnyo5KS50VHLGYg1Xs2abtJ5GUXMaSDlBtWvQ/ef7nvszroPStblP2ieNa7jd16+k97nGUUlTawV5BkV9HpGj4rsGzEnZC8okSvNcaLJsigodlYIQv2EarUHGbzrNer6P+CTFd5wi1BIh1SX+IYu8hEbPAaoBE/8AXLBkjZy9aGWdk+J+QPp8kST3eSOnAPkkmhyL+Hhk7WcoUO2yRp4Qc1L2gjKJ3AkGepdr6slVgeI9DRUl1JouOk6V1zFJ87FYR0dtdG3uq3NSOjf3DWgja92TUHWOylKfBZ1rKE+oKli4W600npyoBCLUmi46TpXXMUnzsVhHR220TxpX56R0xJZ/9pC17kmoOkdlqc+CzjWUJ1QVLNytVhpPOiqBSeOoaNYc0TplmdcxSflA97Dv/kPr966H1bm5r26SoqmBZeGooH00zxryWlDWSLNA18jnqLjXpagZMSFI6g42+l6cMo8nHZWCkjRnQPO39WidslXWMUlxQPewe/+hOlq+rKD4JEVTAyuNH6F54aOsFs25IsenKCDHwp2k+K5L0npKVSGNOyiC39WtMJ6cqDQRi/V8i5olhOSFxT2MsoIsav9YYOG1lCV7JFTdp6oQwh2s8nhyotJELNbzLWqWEJIXFvcwygqyqP1jgYXXUpbskVB1n6pCCHewyuNJRyUwvvXDpI6Kr3ZI1pomeVCmtVKSLxaeFaof5HNUmvEcIP9E06+iOiouGsfCvS7IG6qSP4fOLU3mjkuZM7HoqBSQRuuHKEcF1RIRyV7TxJqqrpWSdGg+eJLUyfI9J+4kpVnPQfwYaZ/XMkxSRHSORfy6oMwYjZNXFpCv5BsLjcMYp1Uysap3RgVFs36I1n01mQtFWKcsQh9IeUHr9Ro/ogj3YFmeVwssMmOqlPGErqtFXagqjReCE5VAaNYP0bqvJnOhCOuURegDKS9ovV7jRxThHizL82qBRWZMlTKe0HW1qAtVpfFC0FEJjG/9EGUouNt9a94h6mmgNjU+QNI2SOuC1vM1fkQz7ieNU1Zmr2Aw0mTGvNy7TfYbP2bQNsoKOvc073ZNJlFZoKNSUNyXkW+dEtUBcW/ktPWBkoCcE40PkKYN0rqg9XyNHxH6w9/XD/d5rbJXkDQzZsGSNXLW1x6py1kp64euD+Qrxceikc+UNJOoilTj6SgpaJ3SYh3TAousFua9kLSUxW3Q9KMofQ0BeqZf7t1Wl7Pycu+2JvU0fyze9a1077hwotJE0DqlxTqmBRZZLcx7IWkpi9ug6UdR+hoC9EzvN35MXc5KfPmnali861vp3nGhoxIYjaPirtmmWcfMo68WWS15tEmqCXI9NBkUzUDjnxSlryFI6qiUJUNGg4WjUiUnxYWOSgFp5GCgNduk65h59dUiqyVJG3RWWhfkemgyKJoFqrPl7lN1kKcRn6QUuc5RUpCfo/EPW9VJceFEJRAaBwOt2WrWMUP01cInobNCGoHW4kM9B1nhPVwPum5lqXOkwSJHpZWdFBdOVAKhcTDQmq1mHTNEXy18EjorpBFoLT7Uc5AV3sP1oOtWljpHGixyVFrZSXGhoxIYTa0fd80WOSsi2dctm5V5QkeF7AHVRUH5QkW9V4rar1AkzYVC+/so6hgndVR8fk5VM3dE6KgUFvcG863JxiclyFkRyV4fo9E6OnoYLB6WotUoIs0B1UXxPSfx56DIPlMr38PouqXJkXIpy7VHTkojP0fjPFWdQjxB3/jGN+TQQw+V0aNHy/HHHy+PPfZYs7sUBLQmq8kZyLqOWZR19KL0g4QHXXv0nPDeKSZZa5dVqVaShZ9TlnPNg6ZPVH7wgx/IvHnz5DOf+Yz88pe/lLe85S1y+umny4YNG5rdtdxBa7KanIGs65hFWUcvSj9IeNC1R88J751ikrV2WZVqJVn4OWU51zxouqNy/PHHy7HHHitf//rXRUSkv79fpk6dKpdffrnMnz8f/nxoRyXr+qCFo2KxjlkUF6Qo/SDNB90L7n0for4VyQ66bigPx+eooHvFImvEwtHb1LddJo8bXfvaPRd3e5p3e5nv+1I4Kjt37pRVq1bJ7Nmza98bOnSozJ49W1asWOH9mR07dkhPT0/dv1BkXR9s9PPxG9PnpGhyBpKsYxbFBSlKP0gxQL5S/DkJUd+K2ICuW/yDW1MrCb03sjp7jY6RZLvIa+/yM7/6i4Z+oW+7O0lBdaFaxVlp6pP98ssvy+7du6W9vb3u++3t7dLZ2en9mYULF0pbW1vt39SpU0N0NfP6oEWOisU6ZlHWOYvSD1I8sjorpJig66bx7dC9YZE9YvEO3dS3ve5dvqlve6LtmnNppXdo6f4X5KqrrpLu7u7av3Xr1gU5btb1QYscFYt1zKKscxalH6R4ZHVWSDFB103j26F7wyJ7xOIdOnnc6Lp3eXx5R7Ndcy6t9A5tqqOyc+dOGTt2rPzoRz+Sc845p/b9Cy+8ULZs2SJLliyBbTTbUUm6PqjJK0FOisU6ZlGdlDKvtxJbkuaq8N4pB6iWj8YvQfdGGkclqfei8Q1dB8V9t6dxVMqSH6ShFI7KyJEj5eijj5alS5fWvtff3y9Lly6VmTNnNrFnjcm6PujeUL42kJNisY5ZRCelVdZbiQ7kHcSfA9475QH9BkwzwUD3RtJJShrvRZOJFZ+E+PzD+HaNf+jLYinrJCUJTT/DefPmybe//W35z//8T3nmmWfkIx/5iLz66qty0UUXNbtrgxKi3o1mLb4s65hlcWdI8SjLPU7CE8JJ0RwjayaW5l1flhpXedD0icrf/M3fyBe/+EW55ppr5K1vfausXr1a7r333gGCbdEIUe9GsxZflnXMsrgzpHiU5R4n4QnhpGiOkTUTS/OuL0uNqzxoeo5KVppd6yepY5Gmpo5mLb6If2uvOdeq1LHQ9Lus51YUkIfA8W1dkL/konk3pclmQT4hqtuWxlFB/Sryu6kUjkoVSOJYpK2po1mLRzkqoW9Czblq1n3LgMaPoEORnfg9XpV7h9iA6kLF0bybUO2pRqDMmPgkBdU5EsG5MigzpirvJj7ZRoRwMDRtFGG9XtMHi7XlIlCWa1IlqnLvEHss6kJZPK9Z6xyJ4Pvcwt0qy7uJExUjQjgYmjaKsF6v6YPF2nIRKMs1qRJVuXeIPRZ1oSye16x1jkTwfW7hbpXl3URHJSNJc0Es1gLTrK+GQNMHi7yDrFis2aY51zzqkRSFEOvkVR4/kg3kqLh5JaG8DbcfyDdJk5HlbtecK/IeQ31+0FEJQJpcEIuLr8liKYKT4vbBIu8gKxZrtmnPFfk5ZSXEOnlaZ4BUH5Sx46upo3k/WrxD4/1AvknaOm7x7ZpzRXWyiuiscKKSkqLkghRhjbEsTorFmq3FuRZhLKwIsU5ehHucFBN0/2lq6hShnxZ13DTnauHwNANOVFJSlFyQIqwxlsVJsViztTjXIoyFFSHWyYtwj5Nigu4/TU2dIvTToo6b5lwtHJ5mQEclI0WpXVNEJ0XjbTQDizVbzXgnXVtG2Q/a42YlTRZQ0nVy331AR4WkJQ9HxYKkz7zvHYDePRt7tsr+E8bWvnbP1f3ad5xmZRLRUQlECCclaT9CkLZuTxE+WCzWbDXjnWRtGWU/NGrDmrRZQEnWyRs5LWhMq+r4kOygZyn+QR3KwUjzzLuTFPTuWbBkjbz76ysa1g/yPYvuccqQSVSs3pSYoq7t5UGVnIIQa7aoDYv1aQssritaJ7fwc6rk+BBbiuJghHjmN/ZsrXvWNvZsrduucVbK8ixxomJEUdf28qBKTkGINVvUhsX6tAUW1xWtk1v4OVVyfIgtRXEwQjzz+08YW/esxZd/RHTOSlmeJToqxlS53khST6NZY5GmX0nXbNOcG/qZNBkKeWQ9uG1qak25eRB5OCroGmkcH3otrUGaWj95gJ4lzbOF2nAdlQ3dr8oBbfvUvvY5KknrBeUFHZUmUdVJShpPoxljkdaxSLJmm3aNG42Hps6Hdd4B8nPQdhF/zRLkBLgvRXQuvn4kdXzotbQOaMLaDHcQOSmaGkS+NuKTlAVL1sh7vvFoQ2dFxP+8Fn3yXs1PVWJKWZyTEBkoocYiRD/QOrlmHR3VLLHIUbHoZ1nW4kk1sXBnUBsbul+tc1I2dL86oA1NjaEiwokKgZTFOQmRgRJqLEL0A62Ta9bRUc0SixwVi36WZS2eVBMLdwa1cUDbPnVOSnz5Zw+aGkNFhI4KUVOEekI+NOu8cfJwVPIai6Q1dNL0A615o7ERGbjm7X6t6WfSzAl37d3nJVh4LYSkBfklafJLUBuuo+I+i77v0VEhlcHaj7BA41C4aHJUUAZKqLFALw+Lfrh1UdxcBuTviNTXLPGtgWv6iXJSUP0Wd8Jh4bUQkhbffW6RX4LaiE9SfM+iSP3zWgZ3ixMVkpiiOCsaNyFrG2XJjLHoB8pl0HgeFs6KRf0WC6+FkLSg+zxEnpDGRymLu8WJCklMUZwVjZuQtY2yZMZY9APlMmg8DwtnxaJ+i4XXQkha0H0eIk9I46OUxd2io0JSY1H/BrWp2UfjUKA+FNVRSUqafqHaIe5YpHFUNGvx6BqgrBaNo+K2kdRvIiQJ6Hm0cENQGz5HpSh1s+iokNxJ6kegtVBNG2nWfTV9yJqjUpQPt6TXxLdPfJLiGwv3heZbB0dr4Ek9IZTV0sg3iV9XXxuaHAtC0oKeR4vJAWrDnaTk1Y88KcbblZSaUPkkWdd9NeuxRclRyUqI8RTB6+CaNpAvgo4RKu+FkLQU5f4qSj+SwokKyUyofJKs676a9dii5KhkJcR4iuB1cE0byBdBxwiV90JIWopyfxWlH0mho0LM0Kx7Iu8gTd5GUr9E0y/0dVlcBs34oXPRnLt7HZHn8nLvNtlv/Ji6NpI6Km5ehM9Rcfua1J0py3Um5aAo91NR+kFHhQQH5WCIYO8gad5GmgwUd5KCPIy0eQdFwO1nGr8GjadI/Tq4L4sl3saCJWvkrK89UrddBHtC7jHcmibuJMXX1yTuDJ0VYk1R3htF6YeWcvWWlIJQeRsW9TMsvJaykHV9WvPzKIvl5d5tddtf7t02oA005pqaJln9m7Ku5RNSRThRIeaEytuwqJ9h4bWUhazr05qfR1ks+40fU7fdXf4RwWOuqWmS1b8p61o+IVWEjgoxQ+OCIGfAzcbQ5G2gLAyNd5DUUdHkDlisA+eRb5DUw9DsjxwV92ufo4K8lq4tfdI+cVzta9dRSVM/CNX+KcpaPiFVhI4KCYrGBUHOgK9+iyZvA2VhaLwD5KSg7S4WfkNeNTiSeBgap8XnGsUnHD5nxZ2kaLyWs7+5sm57fJKStn4Qqv3DSQohzYdPIcmMRWaHRf0Wi7o8Fs6Khd8Qwo2xGC/kGiFnRbNP15a+uu1dW/oS9xONJ2v/EFJcOFEhmbHI7LCo32JRl8fCWbHwG0K4MRbjhVwj5Kxo9mmfOK5ue3z5R9tPNJ6s/UNIcaGjQsxI46i4TkCa+i0WdXmSOiia/bPmlfi+5xuPwY6p2Sepo+LrA6r14/on7nX27dO1qU/aJ++dlLiOShqfCY1n0rpRhJD00FEhwdHkqKAMlKT1Wyzq8mjq2bhonJUkLogmd6bReGiP0WgfNLFB10yk3jXSOCuui+Tb5+yb652U+CQlrc+ExjNJ3ShCSBg4USHmWNR30TgDFlkYWV0QC2fFYrwsPCGERU0djYvUtaneSenc1Je4jaz3V5XycwgpO5yoEHMs6rtonAGLLIysLoiFs2IxXhaeEMKipo7GRWqfXO+kdEwel7iNrPdXlfJzCCk7dFRIbqRxLjQ+RB51eVBdGbR/GkdF00ZSpyJNrSTkYaBjigz0RVBNHZ+j4jopnZv66iYpbvZKGp8p6fjRUSEkP+iokKajqamDMlDcD5686vKgGkRJ+tDoXJJkejTaJz4eKPcjbbZIHORxiPh9EVRTx52k+JyU+CTFVx8oqc+UJoOHkxRCmg8nKiQIIXwSC68AORahnJSsuR+hskWQL6I5V+SkoPpAmn5ajBchpDlwokKCEMInsfAKkGMRyknJmvsRKlsE+SKac0VOCqoPpOmnxXgRQpoDHRWSG5q8Es3PuFjU4XFBOSDIufA5LUlzU3xtZPVHNHV5knowvn4iX0RzjVwnxT2O66i42zU+UxqnhxCSD3RUSFPR1NTxkdQnSZOB4uJzUlAuiMZpQeeiaQOdSxJnRXMuyONo1E/ki2hyZ+KTFN9x4pMU33aNz5SkLhQhpBjwqSTmhFrvD+GkZN1u0QcNFhknqA1NPy3ySSzG3MKJIoQUA05UiDmh1vtDOClZt1v0QYNFxglqQ9NPi3wSizG3cKIIIcWAjgrJDU2Gh0W7SR0VjbeR9WtNPywclaS1kzR9Rx6Hr59J80o0HlHSMdc4UXRSCCkOdFRI03E/ADS1aBAo6wLlgjTqA3JSkmzX9MO3PWkbKHemUU0ddC7I43D7ibwW5Kw0IsmYa5woOimElBM+pSQIFk5A1nwSTR9C+BEWOSroXDT1cNC5aMbLomYTwqKfdFIIKS+cqJAgWDgBWfNJNH0I4UdY5Kigc9HUw0Hnohkvi5pNCIt+0kkhpLzQUSFBsXAEkJeRpvYP8kXQ9jQZHpr6N0lzQFx8baJclKTHyKtNF3RNNE4UnRRCigMdFVJINLVokrSRJrPD/aBCvgja3qjODMoniW9v5JOgNtCHrjtJ8bWBzkXzwY6yVpD3ogFdE40TxUkKIeWDTy1pChbOgEVmR1afxKLOjMYnsXA9yuKTICzqLRFCygMnKqQpWDgDFpkdWX0SizozGp/EwvUoi0+CsKi3RAgpD3RUSFNJ4xAgRwW5IGnyNpLW3NH0y3UufD4JqqGTBjQ+FsdAGScWrkgaR4UQUhzoqJBSkNRZQdkhyAVJm7eRpOZOo34gj8OdpPi8lawTCLcNVA8nLSjjxGLyoLmunKQQUn74FJNCYJGFgRyLUHkbFjVzNN5KVixqJSFCuCL0UQipNpyokEJgkYWBHItQeRsWNXM03kpWLGolIUK4IvRRCKk2dFRIodC4DMg7QG5IGg8mDUkdFZ8H4/NWrNHU3clKCFeEPgoh5YKOCiklGmcFfRghZ0XzYWbxgYf6gXJBRAZ6K3mQ9yRFJIwrwkkKIdWETzYpJCFckVBY5L0QQkirwokKKSQhXJFQWOS9EEJIq0JHhRQai5owFnVmLEhak4gQQqoMHRVSCZJOKPKqM2MByi/hJIUQQgbCiQqpDCHqzFhAJ4UQQvRwokIqQ4g6MxbQSSGEED10VEjpcZ0U92uXouRt0EkhhLQydFRIS+BzUgabpIgUJ2+DkxRCCMEU441NSAo0NXMIIYSUG05USGnR1MwhhBBSbuiokNKDclNciuKoEEJIK0NHhbQM8UmKr6ZOnGbmqBBCCElOLhOV3//+93LxxRfL9OnTZcyYMfL6179ePvOZz8jOnfU1Tn7961/LySefLKNHj5apU6fKF77whTy6Q1oEVFOnKDkqhBBC9OQyUfntb38r/f398q1vfUvWrFkjN910k9x8883yqU99qrZPT0+PvOMd75BDDjlEVq1aJTfccIMsWLBAbrnlljy6RFoAVFOnKDkqhBBC9ARzVG644QZZtGiRPP/88yIismjRIrn66quls7NTRo587QNl/vz5snjxYvntb3+rbpeOCnGdE9dRebl3m+w3fkzD/QkhhISncI5Kd3e3TJ48ufb1ihUr5JRTTqlNUkRETj/9dFm7dq1s3ry5YTs7duyQnp6eun+kdfE5J/FJyoIla+Ssrz0iC5bsdVY4SSGEkPIQ5I393HPPyde+9jX5x3/8x9r3Ojs7pb29vW6/PV93dnY2bGvhwoXS1tZW+zd16tR8Ok0KD3JOXu7dJveuec1ZuXdNp7zcu61JPSWEEJKWRBOV+fPny5AhQwb95y7bvPTSS3LGGWfI+973Prnkkksyd/iqq66S7u7u2r9169ZlbpOUE+Sc7Dd+jJxx+GvOyhmHd9Qt/xBCCCkHiRyVjRs3yiuvvDLoPq973etqyznr16+XWbNmyQknnCC33nqrDB2694Pk7/7u76Snp0cWL15c+96DDz4of/3Xfy2bNm2SSZMmqfpER6X1cB0T9+uNPVtl/wlja1+7jgohhJDmo/38TlRsZP/995f9999fte9LL70kb3/72+Xoo4+W73znO3WTFBGRmTNnytVXXy27du2SESNGiIjI/fffL294wxvUkxTSetz6yO/l5mX/I5fNer18+MRDRaTeOVmwZI3cu6ZTzji8QxacfbiICCcphBBSYnJxVF566SWZNWuWTJs2Tb74xS/Kxo0bpbOzs849+du//VsZOXKkXHzxxbJmzRr5wQ9+IF/5yldk3rx5eXSJVADkpGzs2VrnpGzs2dqknhJCCLEil/Kt999/vzz33HPy3HPPycEHH1y3bc9KU1tbm/z85z+XOXPmyNFHHy377befXHPNNXLppZfm0SVSAfY4KXt+o+I6KftPGCtnHN5R+41KfPmHEEJIOWGtH1I6UG6K66ig2j+EEELCU7gcFUKsiE9SfLV94pMUVPuHEEJIseFEhZQWVNsHbSeEEFJ8OFEhpQXV9kHbCSGEFB86KqT0uA7Ktp1/ljEjhzfczlo/hBDSfOiokJYhPgm5/p5n5O1fXC7X3/OMd7uvNhAhhJDiwokKqQzbdv5ZFj+5Xjp7tsviJ9fLtp1/rtuOclgIIYQUD05USGUYM3K4nHPUFOmYMFrOOWpK3fKPCK4NRAghpHjQUSGVw3VU3K/pqBBCSPOho0JalvikxOescJJCCCHlgW9sUlmQs0IIIaT4cKJCKgtyVgghhBQfOiqkciBHhRBCSPOho0JaEp+TwkkKIYSUF05USGWgk0IIIdWDExVSGeikEEJI9aCjQioHc1MIIaT40FEhLUt8ksLaPoQQUm44USGVhbV9CCGk/HCiQioLa/sQQkj5oaNCKg8dFUIIKR50VAj5XzhJIYSQ8sI3OCGEEEIKCycqhBBCCCksnKgQQgghpLBwokIIIYSQwsKJCiGEEEIKCycqhBBCCCksnKgQQgghpLBwokIIIYSQwsKJCiGEEEIKCycqhBBCCCksnKgQQgghpLBwokIIIYSQwjK82R3Iyp7izz09PU3uCSGEEEK07Pnc3vM53ojST1R6e3tFRGTq1KlN7gkhhBBCktLb2yttbW0Ntw+J0FSm4PT398v69etl/PjxMmTIkFyP1dPTI1OnTpV169bJhAkTcj1WK8DxtIXjaQvH0x6OqS1lH88oiqS3t1emTJkiQ4c2NlFK/xuVoUOHysEHHxz0mBMmTCjlTVFUOJ62cDxt4XjawzG1pczjOdhvUvZAmZYQQgghhYUTFUIIIYQUFk5UEjBq1Cj5zGc+I6NGjWp2VyoBx9MWjqctHE97OKa2tMp4ll6mJYQQQkh14W9UCCGEEFJYOFEhhBBCSGHhRIUQQgghhYUTFUIIIYQUFk5UlHzjG9+QQw89VEaPHi3HH3+8PPbYY83uUilYuHChHHvssTJ+/Hg54IAD5JxzzpG1a9fW7bN9+3aZM2eO7LvvvjJu3Dg577zzpKurq0k9LhfXX3+9DBkyRObOnVv7HsczOS+99JJccMEFsu+++8qYMWPkyCOPlCeeeKK2PYoiueaaa+TAAw+UMWPGyOzZs+V3v/tdE3tcXHbv3i2f/vSnZfr06TJmzBh5/etfL5/73Ofq6rlwPBvz3//93/Lud79bpkyZIkOGDJHFixfXbdeM3aZNm+T888+XCRMmyMSJE+Xiiy+Wvr6+gGdhTEQgt99+ezRy5MjoP/7jP6I1a9ZEl1xySTRx4sSoq6ur2V0rPKeffnr0ne98J3rqqaei1atXR2eeeWY0bdq0qK+vr7bPZZddFk2dOjVaunRp9MQTT0QnnHBCdOKJJzax1+Xgscceiw499NDozW9+c3TFFVfUvs/xTMamTZuiQw45JPrwhz8crVy5Mnr++eej++67L3ruuedq+1x//fVRW1tbtHjx4uhXv/pV9J73vCeaPn16tG3btib2vJh8/vOfj/bdd9/oJz/5SfTCCy9Ed9xxRzRu3LjoK1/5Sm0fjmdjfvazn0VXX311dOedd0YiEt1111112zVjd8YZZ0RvectbokcffTR66KGHor/4i7+IPvjBDwY+Ezs4UVFw3HHHRXPmzKl9vXv37mjKlCnRwoULm9ircrJhw4ZIRKLly5dHURRFW7ZsiUaMGBHdcccdtX2eeeaZSESiFStWNKubhae3tzeaMWNGdP/990ennnpqbaLC8UzOJz/5yehtb3tbw+39/f1RR0dHdMMNN9S+t2XLlmjUqFHR97///RBdLBXvete7or//+7+v+965554bnX/++VEUcTyT4E5UNGP39NNPRyISPf7447V97rnnnmjIkCHRSy+9FKzvlnDpB7Bz505ZtWqVzJ49u/a9oUOHyuzZs2XFihVN7Fk56e7uFhGRyZMni4jIqlWrZNeuXXXje9hhh8m0adM4voMwZ84cede73lU3biIczzT8+Mc/lmOOOUbe9773yQEHHCBHHXWUfPvb365tf+GFF6Szs7NuTNva2uT444/nmHo48cQTZenSpfLss8+KiMivfvUrefjhh+Wd73yniHA8s6AZuxUrVsjEiRPlmGOOqe0ze/ZsGTp0qKxcuTJ4ny0ofVHCvHn55Zdl9+7d0t7eXvf99vZ2+e1vf9ukXpWT/v5+mTt3rpx00klyxBFHiIhIZ2enjBw5UiZOnFi3b3t7u3R2djahl8Xn9ttvl1/+8pfy+OOPD9jG8UzO888/L4sWLZJ58+bJpz71KXn88cfl4x//uIwcOVIuvPDC2rj53gEc04HMnz9fenp65LDDDpNhw4bJ7t275fOf/7ycf/75IiIczwxoxq6zs1MOOOCAuu3Dhw+XyZMnl3Z8OVEhwZgzZ4489dRT8vDDDze7K6Vl3bp1csUVV8j9998vo0ePbnZ3KkF/f78cc8wxct1114mIyFFHHSVPPfWU3HzzzXLhhRc2uXfl44c//KHcdttt8r3vfU8OP/xwWb16tcydO1emTJnC8SSp4NIPYL/99pNhw4YN+KuJrq4u6ejoaFKvysfHPvYx+clPfiIPPvigHHzwwbXvd3R0yM6dO2XLli11+3N8/axatUo2bNggf/VXfyXDhw+X4cOHy/Lly+WrX/2qDB8+XNrb2zmeCTnwwAPlTW96U9333vjGN8qLL74oIlIbN74DdPzLv/yLzJ8/Xz7wgQ/IkUceKR/60IfkyiuvlIULF4oIxzMLmrHr6OiQDRs21G3/85//LJs2bSrt+HKiAhg5cqQcffTRsnTp0tr3+vv7ZenSpTJz5swm9qwcRFEkH/vYx+Suu+6SBx54QKZPn163/eijj5YRI0bUje/atWvlxRdf5Ph6OO200+Q3v/mNrF69uvbvmGOOkfPPP7/23xzPZJx00kkD/mT+2WeflUMOOURERKZPny4dHR11Y9rT0yMrV67kmHrYunWrDB1a/9EybNgw6e/vFxGOZxY0Yzdz5kzZsmWLrFq1qrbPAw88IP39/XL88ccH77MJzbZ5y8Dtt98ejRo1Krr11lujp59+Orr00kujiRMnRp2dnc3uWuH5yEc+ErW1tUXLli2L/vSnP9X+bd26tbbPZZddFk2bNi164IEHoieeeCKaOXNmNHPmzCb2ulzE/+onijieSXnsscei4cOHR5///Oej3/3ud9Ftt90WjR07Nvrud79b2+f666+PJk6cGC1ZsiT69a9/HZ199tn8c9oGXHjhhdFBBx1U+/PkO++8M9pvv/2iT3ziE7V9OJ6N6e3tjZ588snoySefjEQkuvHGG6Mnn3wy+sMf/hBFkW7szjjjjOioo46KVq5cGT388MPRjBkz+OfJrcDXvva1aNq0adHIkSOj4447Lnr00Ueb3aVSICLef9/5zndq+2zbti366Ec/Gk2aNCkaO3Zs9N73vjf605/+1LxOlwx3osLxTM7dd98dHXHEEdGoUaOiww47LLrlllvqtvf390ef/vSno/b29mjUqFHRaaedFq1du7ZJvS02PT090RVXXBFNmzYtGj16dPS6170uuvrqq6MdO3bU9uF4NubBBx/0vjMvvPDCKIp0Y/fKK69EH/zgB6Nx48ZFEyZMiC666KKot7e3CWdjw5AoisUFEkIIIYQUCDoqhBBCCCksnKgQQgghpLBwokIIIYSQwsKJCiGEEEIKCycqhBBCCCksnKgQQgghpLBwokIIIYSQwsKJCiGEEEIKCycqhBBCCCksnKgQQgghpLBwokIIIYSQwsKJCiGEEEIKy/8H2NG2cKdynBIAAAAASUVORK5CYII=", + "text/plain": [ + "<Figure size 640x480 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Starting point (0,0), end point (84,56), distance between them 100.9554357129917\n" + ] + } + ], + "source": [ + "x_points, y_points, distance = random_walk()\n", + "\n", + "# the parameter \"s\" changes the size of the markers\n", + "sns.scatterplot(x=x_points, y=y_points, label='walk 1', s=5)\n", + "plt.show()\n", + "\n", + "print('Starting point ({},{}), end point ({},{}), distance between them {}'.format(x_points[0], y_points[0],\n", + " x_points[-1], y_points[-1], distance) )" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "<Figure size 640x480 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# we can colour code where the random walk goes to\n", + "\n", + "walk_range = range(0, len(x_points))\n", + "sns.scatterplot(x=x_points, y=y_points, hue=walk_range, s=5)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "metadata": {}, + "outputs": [], + "source": [ + "# now do 200 random walks and plot the distance distribution\n", + "# here we are not interested in the other return values, we ignore them and use underscores to signify this.\n", + "\n", + "distances = []\n", + "\n", + "for i in range(0,200):\n", + " _, _, distance = random_walk()\n", + " distances.append(distance)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "<Figure size 700x200 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(ncols=1,figsize=(7, 2))\n", + "\n", + "sns.histplot(x=distances)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Solution 2\n", + "\n", + "The above solution works well, but is quite slow as we do all the loops ourselves.\n", + "Let's see if we can make this a bit more efficient.\n", + "\n", + "Looking at the NumPy documentation for [np.choice](https://numpy.org/doc/1.16/reference/generated/numpy.random.choice.html#numpy.random.choice), we see that we can generate the numbers in bulk, without a loop.\n", + "\n", + "We can also multiply the whole array in one step for the step-size.\n", + "\n", + "Then we can use the cumulative sum to calculate the path: [np.cumsum](https://numpy.org/doc/stable/reference/generated/numpy.cumsum.html)\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 83, + "metadata": {}, + "outputs": [], + "source": [ + "def random_walk_2(n_steps = 5000, step_size = 1):\n", + " \n", + " # we always start at (0,0)\n", + " x_points = [0]\n", + " y_points = [0]\n", + "\n", + " # get the steps\n", + " x_steps = np.random.choice([-1, 1], n_steps) * step_size\n", + " y_steps = np.random.choice([-1, 1], n_steps) * step_size\n", + "\n", + " x_points = np.concatenate( (x_points, x_steps) ).cumsum(0)\n", + " y_points = np.concatenate( (y_points, y_steps) ).cumsum(0)\n", + "\n", + " start_point = np.array( (x_points[0], y_points[0]) )\n", + " end_point = np.array( (x_points[-1], y_points[-1]) )\n", + "\n", + " distance = np.linalg.norm(end_point - start_point)\n", + "\n", + " return x_points, y_points, distance\n", + " \n" + ] + }, + { + "cell_type": "code", + "execution_count": 85, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "<Figure size 640x480 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Starting point (0,0), end point (-16,-78), distance between them 79.62411694957753\n" + ] + } + ], + "source": [ + "x_points, y_points, distance = random_walk_2()\n", + "\n", + "sns.scatterplot(x=x_points, y=y_points, label='walk 1', s=5)\n", + "plt.show()\n", + "\n", + "print('Starting point ({},{}), end point ({},{}), distance between them {}'.format(x_points[0], y_points[0],\n", + " x_points[-1], y_points[-1], distance) )" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Solution 3\n", + "\n", + "Instead of calculating x and y direction separately, we can handle both of them at the same time, using two-dimensional arrays.\n", + "\n", + "NumPy provides a convient function to create arrays that are initialised with zeros: [np.zero](https://numpy.org/doc/stable/reference/generated/numpy.zeros.html). There is a corresponding function for initialising an array with ones." + ] + }, + { + "cell_type": "code", + "execution_count": 88, + "metadata": {}, + "outputs": [], + "source": [ + "def random_walk_3(n_steps = 5000, step_size = 1, n_dim = 2):\n", + " \n", + " start_point = np.zeros( (1, n_dim))\n", + "\n", + " steps = np.random.choice([-1, 1], size=(n_steps, n_dim)) * step_size\n", + "\n", + " points = np.concatenate( (start_point, steps) ).cumsum(0)\n", + "\n", + " end_point = points[-1:]\n", + "\n", + " distance = np.linalg.norm(end_point - start_point)\n", + "\n", + " # because we now have two dimensional arrays, we return the two dimensions separately \n", + " # We do this so that the overall behaviour of the function remains the same as before.\n", + " return points[:,0], points[:,1], distance" + ] + }, + { + "cell_type": "code", + "execution_count": 90, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "<Figure size 640x480 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Starting point (0.0,0.0), end point (-8.0,-46.0), distance between them 46.69047011971501\n" + ] + } + ], + "source": [ + "x_points, y_points, distance = random_walk_3()\n", + "\n", + "sns.scatterplot(x=x_points, y=y_points, label='walk 1', s=5)\n", + "plt.show()\n", + "\n", + "print('Starting point ({},{}), end point ({},{}), distance between them {}'.format(x_points[0], y_points[0],\n", + " x_points[-1], y_points[-1], distance) )" + ] + }, + { + "cell_type": "code", + "execution_count": 93, + "metadata": {}, + "outputs": [], + "source": [ + "distances = []\n", + "\n", + "for i in range(0,200):\n", + " _, _, distance = random_walk_3()\n", + " distances.append(distance)" + ] + }, + { + "cell_type": "code", + "execution_count": 94, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "<Figure size 700x200 with 1 Axes>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(ncols=1,figsize=(7, 2))\n", + "\n", + "sns.histplot(x=distances)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Comparing the solutions\n", + "\n", + "We can now profile how long the different approaches take:\n", + "\n", + "We use the \"magic\" function ```%%time``` to do this.\n", + "\n", + "As we will see, our manual implementation works well - but is also very slow. \\\n", + "Using NumPy bulk operations (Solution 2) on x and y separately already brings the execution time down a lot. \\\n", + "Using two dimentions at the same time (Solution 3) helps us to to cut the execution time down further." + ] + }, + { + "cell_type": "code", + "execution_count": 97, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 11.8 s, sys: 11 ms, total: 11.8 s\n", + "Wall time: 11.8 s\n" + ] + } + ], + "source": [ + "%%time\n", + "distances = []\n", + "\n", + "for i in range(0,200):\n", + " _, _, distance = random_walk()\n", + " distances.append(distance)" + ] + }, + { + "cell_type": "code", + "execution_count": 98, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 27.1 ms, sys: 0 ns, total: 27.1 ms\n", + "Wall time: 26.5 ms\n" + ] + } + ], + "source": [ + "%%time\n", + "distances = []\n", + "\n", + "for i in range(0,200):\n", + " _, _, distance = random_walk_2()\n", + " distances.append(distance)" + ] + }, + { + "cell_type": "code", + "execution_count": 99, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 18.4 ms, sys: 0 ns, total: 18.4 ms\n", + "Wall time: 18 ms\n" + ] + } + ], + "source": [ + "%%time\n", + "distances = []\n", + "\n", + "for i in range(0,200):\n", + " _, _, distance = random_walk_3()\n", + " distances.append(distance)" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3.10.6 ('pythonintro-A08DqnGu-py3.10')", + "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": "3.10.6" + }, + "orig_nbformat": 4, + "vscode": { + "interpreter": { + "hash": "eb3a944512c48027e49906d9e47d21cfb9b2c1ddd33f9b79c72df4b5e3a553dc" + } + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} -- GitLab