{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Hypercube Example" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Load in libraries" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import numpy as np\n", "from pyDOE import ff2n\n", "from scipy.spatial.distance import pdist, squareform\n", "import hypertools as hyp\n", "\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Define hypercube functions" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def hypercube(ndims=4, res=100, x_min=-1, x_max=1):\n", " length = x_max - x_min\n", " vertices = (ff2n(ndims) + 1) / 2\n", " vertices *= length\n", " vertices += x_min\n", "\n", " dists = squareform(pdist(vertices))\n", " n_edges = np.sum(dists == length) / 2\n", "\n", " x = np.zeros([n_edges * res, ndims])\n", " ind = 0\n", " for i in range(vertices.shape[0]):\n", " for j in range(i):\n", " if dists[i, j] == length:\n", " next = np.zeros([res, ndims])\n", " for d in range(ndims):\n", " next[:, d] = np.linspace(vertices[i, d], vertices[j, d], res)\n", " x[np.arange(ind, ind+res), :] = next\n", " ind += res\n", "\n", " return x" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Create, plot, and save cube of desired dimensionality" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "DIMS: 3\n" ] }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "DIMS: 4\n" ] }, { "data": { "image/png": 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TTz8djJcnCGsX/+tf/5o7JtX1qJGREUmk+GQ2vqS9BLjtttvQ3Nzs4kyKRgwG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\ncuTImJooBBOLxYLY2NhIDyMsSFqg4uL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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "DIMS: 5\n" ] }, { "data": { "image/png": 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t6tSpePrppwXrioqKREL0+uuvY8aMGXjrrbcE3UNHjx7FxIkT3SqT0Rvhp3W7\nwmQy4fjx44JrpdPpJPffs2cPcb1cBAW03wvn1PK0tDRMmTJFNH2gurqaRlEyqEWgVOvF5+fnRyMo\nHuzYgBKkJmmyREVFIScnR7Tk5eXh/PnzyMvLwwMPPEA8NiYmBtOmTRMs7DgFn2eeeQZAe8o6/w+1\nsbERO3fuVPxdeiuuxIJPYWGhQJwYXrkNoL1Lb//+/bBardi7dy+uXLlCPI+rCApoj6L494thGHz4\n4YdE776lS5eKDIEp7TQ3N6tCoFQbQfn5+UlOfFQjpIQBjUaDLVu2wGw2c+tYC51JkyahtrZWdIyr\n+VFA+5t0Tk4OcRsp9dxoNMqOU5DeyidMmKDqcuJKxAIAHn30UZw8eRLnz5/nukRbWlpw8uRJfPnl\nl4pS81mUXG+LxSLqzmPHogoKCuhYlELUMgbV+/MUJbjhhhuYuXPnersZPoNWqyWmHDun4peXlzNm\ns5m477p16xSnQy9atIh4jqVLl0oe45x2HhERwdhsNqa8vFzU/qioKLdTs30dm80mSkGXSk+/++67\nPZour2RRWteJZEiblZXFMIz4HjsbAlPayc7OZgICArzdjC5HtRGUv78/jaB46HQ6YvYe3wdPzleP\nLReuFKkuqClTpkgeIzdO8dFHHwnS032xnLhzWj6LXPYgu13KxYLFE9mRro6XmqgMAHfccYfi8T7S\nWBRrc0SysvK1++gLtLS0yGZa9hZUK1B+fn40SYKH1LVgffD++c9/4tZbb5W1LnIH1mePj9FoRGpq\nquQx7DgF/1h2zsyMGTNE+3u6nLg7Pnws7D6u0vJdCYwrn0FP/Jbl2hATE4Py8nLJYw8cOAC73a44\n607K5mjx4sW0LLwC1NLFRwWK4rIMRmVlpWSZDTknczlID9vp06fLPuCMRiNxnIJNVTaZTILojvV8\nY9/sXbmJ83EWn8bGRoHZK4uSyEUu8mBxdQ45cXKHdevWoaqqSjAGBABr1qzBwoULceLECdx7771I\nS0vD9OnTAbQnnixcuFD2vM3NzZxprxIsFoukzZGUd59aMzJJNDU1qSKCUu0Y1IQJE5gpU6Z4uxk+\nQUZGRofGHPjWRe7irlUOi81mE41faTQaJisriwkPDxedMy0tjcnJyWGys7OZfv36uTXeIjUu11MX\njUbD2Gw2xmazMX379hVss1gs3FhPSEgI8+6773LX27lQpNTy0ksvufUbkLI5Io0pUlsyIW+//TYT\nGhrq7Wb/p+sHAAAgAElEQVR0OaoVqIkTJzI/+9nPvN0Mn2DFihWiB0VgYKDkgygoKIgpKSnp1Gem\npKSIzjt16lRRAgA/CSAnJ0cgMr110el0bq13Fluj0Sh5btbnLicnR3Kb0Whk1q9fzzAMw6xbt05x\nu9mKuUqRq5Is5d1Haef1119nwsPDvd2MLke1XXz+/v6q8bNyBWlSp9RETY1Gg+Li4k6lcG/cuBF7\n9+4Vrf/666/x9ddfE49R0k3mi0i121M2TCS/v82bN0vW2mLH7CZOnCjpgcf8n5OEVI2ooKAgNDQ0\niNbz63YpGYuSmz5A8u5bv349Vq1a5fK8akAtXXyqFihSNpoaIfm2kaxsAODPf/6zS3GSy1YzGAxY\nvHix2230BXGSE0m+4MTGxuLtt9+G2WxWXDmXXd9RGyb+eqk5ZoBwzI4kDvv27QPQXjdqyZIlouNz\nc3Mxc+ZMokAB7mdPSlVJPnv2rMi7b/Xq1Vi6dCkdi0L7mKWc20dvQbUCpdfriZNTKfI899xzmDp1\nKqqrqyUj0OXLl6OkpKSbW+YecskNgwcPxl/+8hfBOqWu5QAEjuVA17qWk3A1SZdN6SaJw4EDB9DW\n1oY333xTdFxmZibuvPNOl9Mz3M26k6qS7Ozdx68jpXaam5upQPVm/P39qUD9H+74tgHAmDFjXFau\n9TRS5TFIxMbGYv78+Xj11VcF6zdu3Ii+ffu6FBtngeHTE4xkg4KCZLfzH/TO4uCc3ccSFxeHBQsW\nACC7jvBxN+tOrkryli1bBPPbVq5ciYULF/rMtfYWahEo1SZJzJkzhxk+fLi3m+ETkDLqvL3ExsYy\n2dnZsoX8cnJyiAkeRUVFjM1mYyIjI4kD8L0ZtpCd8+LsLKHT6Zjy8nLidXJe0tPTBdeNlKzR2aw7\nqaQNm83GREREdOrcvZFf/epXTP/+/b3djC5HtQKVlpbGDBkyxNvN8AkWLFjgUXEZPHgwJyBSlXml\nljVr1rhVQZb0gGVtjrKzs4kPvd6M1JSBBQsWiK5TRkYGwzAM8Tqxi9lsZsrLy5mCggLJCrg6na7T\nWXdyLxTO1YFZiys1s2jRImbQoEHebkaXo1qBeuyxx1Rxg11hs9mYsLAw4sMpJCSEi2JIkcrGjRuJ\nKeHsw6OoqMhtcePPx1EK6QGbk5OjyiiKdJ8AMPPmzROljIeGhjLZ2dnMxo0bJe9HZmYmExcXxwBg\n9Hq95H6kSMfdeVFS91HOu0+tzJ8/nxk6dKi3m9HlqFagnnjiCSY+Pt7bzfA6pK4VUsQhF6mQyM/P\nJ57PZDIxISEhij5TKTabjbFYLEShKykpET3celoUZbPZBBGM3FwxOZNYPz8/t18YlC6kSKcjUZTU\nfezsuXsbc+bMYW688UZvN6PLUa1APfPMM0y/fv283Qyv4+we7bzwIw6pN1xncnNziefSaDRMSUkJ\n0fGhs1GO3MRTKRf07kLKhVzOjZxdsrOzFUUwQOfdyF0tUhOFAXDfwfllwBNjUWwU5TzOxXZRqpEH\nHniAuemmm7zdjC5HtVl8AQEBPjG3xttcvHhRdjt/3kxqaqpkthWb9VZQUIDJkyeLzmMymVBYWIiE\nhASXGYBsmrFSXzegPRPM2VCVnXja2WqtHXUhZ1GSdq/E089Verer493JhHTGlVksm1re2aw7kiHw\ngQMHMG3aNEnvPjWWhW9paXFZOLRX4G2F9BZ/+MMfmKioKG83w+soyeDjd6dIveEyjHS3XnR0tKA7\nxmQyifYJCAggdu24Q0xMDDGKysnJEXUrms1myYjGHXulro5a+IurLjq5tsTFxTElJSVMXl4ek5aW\nJrlfUFCQ4P9z585lcnJyXEa97G/EE1l3zpE6a6FEStBQ61jUXXfdxSQnJ3u7GV0OjaBUjpLKq/x5\nM1JvuIGBgcTIKT09HatWrXL5ljtx4kSBzZHVasXu3buRmpqq2IFcq9WKIpHZs2cTncBrampwzz33\nyLZJSVTjKUd8V58lZYHEwkZz6enp2LZtm2Db7Nmz8cEHH3AOFQ0NDUQrpMzMTFgsFsyaNYtb9/e/\n/x39+/cnVk/mw/+NODtAsBVzlUY6qampgt8Ya6FUXFwssmdiJx2rbV7U9evX4efX+x/fGob016sC\nMjIy8PLLL7v8w+vtPPfcc8jIyBCtX7t2LZ577jnu/1qtFqdOnUJCQgI+++wzwUNMCovFIuj+YwkP\nDxcJ4/3334/c3FyB/VRISAhCQkJw+fJlAJ4pyudplLSJ5EzBR0nBQrnJw3zmzZuHTz75RLBu0aJF\neP/99wG0d8UNHjyYeGxJSQn69OmDkJAQl59TVFSE4uJiQXeeVqvlypH07dtX8GKQlZWFhx9+2OV5\nWUi/sYyMDJhMJkE3H9A+MXj9+vWKz90b+NnPfgaNRoP//ve/3m5Kl9L7JVgCGkG1Q4qgZs2ahSVL\nluC1114TvcWeOXNG9IZLIjo6GkeOHCE+VEk+fzt27BCts9lssNls3P+7W5xI/noGg4HbrrRgoVJx\n6WwUYLVaReIE/K96cWlpqWztri+++ALPPvusS2Pe/Px8JCYmYtCgQSJDVzaKcq6Ym5aWBoPBgNtu\nu01RHS6DwYCwsDDB75NfI4rPhg0bMH36dJcRcW+itbXVpWNIb0C1AhUYGNjtdj2+COlHPmTIEBiN\nRqxfv17wFltZWcklL7z11luCt2c+69atwyOPPEJ8KBcXF3dYaJREK1KVZxcsWIAHH3wQX331Fdat\nW8etDw0NxaZNmwTCA7j21+PjK91Lzl17LFevXkVpaanAGJYEm3Sg1WoRGBhIfJF48cUXUVNTgy+/\n/BIAcM899wi6C1977TUMHToUcXFxgnvBMAxmzZql6B52JFJ+7LHHZJM4ehtq6eLr/d9QAipQ7dlp\nH374oeR2uay9K1euEI/ZtWuX5JtscXExRo0a5XY7TSYTPvnkEyQlJcm+fT/xxBNITEzEM888gx07\ndgiE6KuvvkJmZiYMBoNgfV1dHRobGyUz+nxFfJQgFdFWV1cjMTHRZVXeK1euYM2aNWhra5N0s//T\nn/4ke45r167Jdv8qEZ6OvMDIRfO9kdbWVuj1em83o8tRtUCpdPiNY/fu3bDb7aL1rHms0WjEpk2b\nBIJjtVrx9NNPY9OmTcRzNjU1EdcrEaeXXnoJycnJ2Lp1q6Crys/PDxMnToTRaJQVjJCQEAQEBHBO\n2nwhunLlCnbu3IkZM2b0mIF2fnq7ku7EQ4cOEdfv3LlT8Wc6G+x6g45EUIGBgV3UGt+ktbVVFWnm\nqhUovV6v+ghqz549xPXsmAUAYmE7KXEC/jf3iN8dVlBQgAkTJrhsz4YNG/Dcc88hKSkJn376KfcC\nUVNTw83FkoPfpTRu3DiiEF26dElUB6mryjhIzZ/iIyU8jY2NWL58OZd0APhmkoi7mM1mZGVlSW53\nvh41NTVIS0tz+TKphoc1HypQvRyDwaB6gQoODiau5w9Mk6qeysFWRGW7zKTEyWQyISMjQ5CRZbVa\nOSFyHmRXGuWwbSS1my9EriaUuhu98DEYDIiPj0dKSgouXLjgcn+lwtMV4uSu6M2bNw+//OUvReu/\n++47UfS1Zs0axMXFCQSmpqYGNTU1Ll82+Pe5pKREsgwIi9r+ltXSxafaibrffvsto9PpvN0Mr7Jo\n0SLipMv09HTBfuXl5UxgYCBx39zcXJFPGmtVJGUWyzpk22w2Jioqijjhk2Rt42rCZ2JiInP//fcL\n1km5bJMmlN56662cvZDz5Fx3J+TK2QJ1dPHEpOC1a9eKJiM7XyP+smTJEuKkWWdsNhsTHR0t2Hfj\nxo0MwzCi34dGo3HLR++VV15x+b1MJpPi8/UGBg0axDz22GPebkaXo1qBOnjwIKPVar3dDK8i5Xz9\n1FNPcfuUlJQQnR8AMEuXLmUYhiGKyYsvvkg8Jjw8XPBwIpm5sh5rJHEhPRxZRo8ezcyYMUOwTs5l\n+7nnnvO4iHhaeNi6WHJ+fewyY8YM2c/JzMwkXjdnl3N2yc3Ndcsk2LnUB/9lo6MefVK+jmoXqP79\n+zO/+tWvvN2MLke1AnXs2DFGo9F4uxleRUqgWBEoKioSPVikBMP5LZm0sJGTM87lHvr06cPYbDa3\ny2WMGTOGue+++0TrSU7YRUVFjNFo9IiIyO0fHx/P2S25axTrTl0shmGYuXPnSrYnLi6OeC4peypA\nvl4UySRYLurtiGGvXNvULlD9+vVjnn76aW83o8tRrUCdOXOGAVT79RmGIXfxzZo1i2EY5bWc2Ldp\n0sNJiTgxDEP0WGOdyJU+HBmGYZKSkph7771XtJ70Bu/s/Uda3IleSKJTUFDQLa7pUsUZ2cW5Ii6L\nq3scExPDvSg4l8Ho27cv8ZxSXaru1nQqKSlx64UgPDzco9fU14mJiWF++9vfersZXY5qn9CXLl1S\nvUAtW7aM+DCTe3CRKrbm5eUxDMNIdus5m8U6QxqLYiMldwrhjR07lrnnnnuI2+TGWUgC6G700lHY\nUhxSIuhqvSsz28DAwA6Jk/PLAMkkmL3vzt9HyixWaU0nm83GmM1m4kuOVEQfGhrq4Tvj20RHRzMr\nV670djO6HNU+oWtra1UtUDabjdjFdf/99xMfACaTiSkpKSEOhmdlZUmOFQQEBCgaECeNRbFv2FLu\n1s6MHTuWmTZtmuT3de4uJC1Go1Hx9ZMqIuiq247d5pyMIdWN6O56/jJ37lzitZZ6kZAqGEiKotgk\nCGekSrQrrem0du1a4u+vvLxcsitZbV18ERERzOrVq73djC5HtU/o5uZmVQuUXJcQ6c2VLzLOUZRU\nEoXzW7grSNlerCgqGYsaN24cc/fddxPPXV5e7rKdQHvE4WqcSEkRQTnx6M4SHaSMTNJ1YAVArvCj\nVBIE6VpLvWxIjTeybN++nfg9Nm7cyOTk5DDJyclUoBiGCQ8PZ9544w1vN6PLUe8TmmEYAExzc7O3\nm+EVli5d2iFxYhjyYLjcorS2E+m87BgXSVA3btwoiFKGDh3KjBkzRiQoWVlZTHBwcKce9N0hKl0R\nQS1atIi7vqTol13YiNRms4m2sS8DSlL/2S5LUs2prKwsYhdxeno6k5OTQ9ymdAkLC/PAX0XPwWQy\nMW+//ba3m9HlqHaiLktDQ4M6Jrw5ITVJl4/ZbMbx48dFk2MtFgtefvllwURaPkuWLMGGDRu4/7O1\nnWbOnClyV3CeBPvMM88Iyn9UVlbivffeQ//+/WEymQTlOJzLLrDceeedHnddkDqXVJVauc933hYb\nG4sNGzYQvQalJgk7m9nef//9qKurE30W3xVk8+bNnI0Vn6KiIiQkJHD3xpmqqip8+umnSEhIEN2f\n559/HlFRUejbty8A+erBUubCGRkZxJIv7hAQENCp43saDodDFfZOVKAaGgR/xGrBVaHC6OhoFBUV\nicSJfYhJmXOuXbsWAwYMwCeffCIQk8WLFwOAyL4HcO1mIFVmQQ5Puy6Q2ihVRFDOecJ5m3M5Dimn\nDLn1drtd0kkhIyMDo0ePxpUrVwT1vVhyc3NRXV2Nzz77jHhvWKReBlxt6y4yMzO93YRuRS0CpdqC\nhUC7d9uZM2cwcOBAbzel25EqVAgAr7zyCkaPHk3cJveG7EtIRTauCAwMxGeffSZYRxIcd+o8uUKJ\nZ59UO0iefe7gDX8/pZ+ZnZ0tKINy4MABouXR1KlT8Z///MejbfR1DAYDPvjgA8ydO9fbTelSVB1B\naTQaNDQ0eLsZXuHw4cOS21atWtWtD63OPiTT0tLw0EMPIT09HXq9Hq+++qpkfaDMzEzcddddGDt2\nLLFLTK/XY9q0acTPIUWTe/fudRklucId0e+ursuO4lw9+O9//7ugXpRGo8GhQ4ewZ88e2cg4Pz8f\n48eP5/5fUFAg6cfHdi+qCYZhVBFBqV6glDxAeiP79++X3NbV4sSvTiv1MM/LyxNFeGw5DueHXk5O\nDt59911ERkbC398fZ86cIYoT/6F3+PBhYunz69evc8X4+Di301Xk0lWRSVd3XcbGxuLixYvYvHkz\nzp49KxKFFStW4Pbbb8eOHTu4MvIs2dnZIif7pKQkbN26leuCZBgGe/bsweLFi/HKK6+gpqZG1Kbc\n3FyBOFmtVlk3fDV2Aqmli0/VWXw6nY759ttvvd0Mr2AwGDySsfbiiy8y4eHhgnVms5mz90lPTxcd\nU1RU5LJ9pHk3bDagVBrzHXfcwdx4443Edubm5grO765TgbvXpauWzrYhJCSEycrKIqbPs5OTATCX\nLl2SnUDtjpkvKbW8pKSEmFnJzzpkIU0o5y/OqfRqwM/PT/Sb7o2oWqD8/PyY//znP95uhlcICwsT\n/aEnJSURU7Sl5g+xfyByc2fcMRt1Ru68pDlTCQkJisSJYRjmV7/6lc8IyeDBg92yUCJNDHZ+SSAt\nwcHBiiZNA+D2I02gZu+BszuHTqcjnp9kZRUUFERso7NH365du1x+L5Ko9XZ0Oh3zww8/eLsZXY6q\nBUqv1zNffPGFt5vhFUJDQ4l/7PwHTHl5OdFyxvmhL/emzTDkScEkmxxn3H2DVypODMMwU6ZM8Yjo\nsH59Sp0kOmsIK4XU/ZS7v1IAYCorK7n/S5VTIb18kKIo0n2UW1gBVGoWq8YISqvVMkeOHPF2M7oc\nVQtUYGAgs337dm83wytIvXGzDxg5ccrPzxedT86qSK5WkCvceYN3Xnbt2kU8p1wJh7S0NMXRS3f5\n9SmBFBHL3V85ADDV1dXc/0kvA1JmvlLuEqT7KLVERkYq9goE1BlBaTQa5scff/R2M7ocVQuUwWCQ\ndVTuzUi9cWu1WiY/P19SnOTGj+TMQJXa5JCQKtVgs9kkhbYj4qQ0wvAGrEODlGhKWS45L1LdcHwA\nMLW1tYJ1zvdAzsxXSgSlyrts375dJF6kMdKkpKQOi25vAwBz7tw5bzejy1G1QAUHByt+k+9tSAmQ\n3OIquUFu4LwjFXJZpMaipMRmy5YtxPO46jJiS414Emdh6YhreUlJCef957y4GuvatWuXqBuOZNDK\nB4AoMiTdA9ZjUcoclo9URCRVL8p5MZvNkskSvvpS0ZWo5XurWqBCQkKYdevWebsZXkFpl5BScWKR\nq4LrboVcFtJYh9yYCykJQ0mXkfNYRkdLYbgSFne99TpaPp4tS+J83Z0NWp0BwNTX14uuhbtZlSxy\nGZNsJEYSQP5SUlJCrF9GcmtXAwCYuro6bzejy1G1QIWFhTFr1671djO8gpKCfe6KE8PIZ+11JqPP\nnTEMAFyhwZycHCYzM1PRMbNnzxY4lnemFEZnhMWdRe7z2Ye/XEFIEgCYxsZG0Xp3sirZLlyp2k7O\n55DrrmXHPElTFtSYINHW1sYAYK5fv+7tpnQ5qhYos9nMvPzyy95uhldQmgbtjjixyFXBdVUhl98l\n5hyhkByy2cV5zMIdt3V2cUcAu0JUXK13Lh/vfH1mzZolOpZN5JDLsnRG6uHXkXlR69atc3k9IiIi\nJLtfX3zxRe7zFyxYINq+YMECt3+fPR01lQpStZOETqdDc3Ozt5vhFaTMRflERERg0KBBis/Jd8MO\nCwsTGNIuWLAAH330kew2kjuDUkcGZ0cQJd/PGUbGkUCqHUpcy+Pj4/Hmm2/KOme4Wl9WVoYRI0YQ\nvf9YC6aJEydi3759Asfy0tJSpKSkID8/H0OGDOG+Y1VVFXbu3ImHH36Y2HatVitaZzQaiedhneo/\n+ugjgWP5Cy+8QLymmZmZePLJJ7n/V1dXSzpF/PWvf8VvfvMbGI1Ggfkwi9w9662oyZ5N1WaxMTEx\neOSRR/Dqq696uyndjl6vV/TgZ61tANcecz3FSFaj0RAfbKT1HSmFwd8mJyxdwZtvvinwuNNqtbh0\n6RIsFgteffVVQYkU/jYWh8MBnU4n++BftWqVwAIpMjISZ8+eBQAMGDAA1dXVksfm5+dj5MiRGDhw\noKQjvjN5eXmIj48nWlOlp6dj7dq1is7TW7h8+TL69eunCnGmEZRKIyilP25n8e5u92tPfp5er8em\nTZvwxRdfIDs7W7R95syZeOKJJyQdy90theFqW1cwb948/OY3v+EiSIfDgQ8//BArVqzAwoULsXLl\nSuI2FtYBXsph3WAwiISiqqoK69atw8KFCzFjxgxs2rSJ2LbMzEzOY6+goEAQiclRWlqKnTt3Ere5\nKhvTG1HVM8srHYs+Qnx8PPPEE094uxleoSNjNN21sO4MeXl5LuctscvGjRuZm2++WXKgnS0fzzDk\nwXagd8ynsdlsovlGWq2W899z/u4ajYYrp56Tk8Ps2LGDAdrtl6SutZ+fn1vrgfY0cecxr8cee4y4\nL6mNjz76KHHfFStWeOlKe49jx44xGo3G283oFlQdQfn5+aGlpcXbzfAK8fHxOHfuHHGbVquVHMOR\ni2icSy0A4nILAJCVlQWz2Ux0LM/KysKMGTNgNBpRUFBAHJuIjIxEdXW14O37+eefx4gRI1BbW0ts\n29GjR5GQkAAAkl1LCxcuJK7vLuSiFiUFEGtqaogO6w6HQ7KaLcMwxIKDcl21UnW25OpvHThwQNDN\nWVpaKnJDB9oLLM6bNw9vvfWWwAH9448/Jp43MjJS8jN7K42NjdBoNN5uRreg6jGooUOHYsKECdzg\nvZrIy8vD5MmTBevmzp2Lxx9/HBERERg1apRgW1paGh555BHZByWpgJ/VakW/fv0EgrdmzRqsWLEC\ndrtdNBYRFRWFM2fO4NixY0RxYsvQ79mzR/KhS6K8vJzrbluwYIFINJcsWYL169crPh8LX1TcqaRL\nQm4Mz50S8l1NRz6P/5ixWq0YNmwYMenBYrHg9OnT2Llzp6L7y7+vauH777/Hz372sw4V5OxxeDN8\n8zbDhw9n5syZ4+1meA3S3JXOTqolQToXOwuelHYulZpsNpu540gTR+UWfvcdqYsvJSVF0eRb/jbn\nuVKA/LwkXyjXoXSRcljnXwPnMhoAiI4QWq2Wu/ZKjGPZeVHO/o3Oy5IlSzr60+/R7Nmzh/Hz8/N2\nM7oFVQvUTTfdxMycOdPbzfAaXTWplvQ5zn5trMuBUqEJDw8XiFNeXp5Lexz+otFomKysLCYvL4+Z\nO3eu7L6+KDLutIkdwyNdnzVr1jA5OTmiciMmk4nJzs5mPvnkEwYQWx1JQfLokxMoJfOi2LlVzv6N\nzosaTWIZhmH+9a9/MXq93tvN6BZULVBjxoxh7rvvPm83w6t0ZlKtO8gZybqyueEX2cvJyZEdwPf2\n0hlxUxK1uNrGd1iXc5EnTazNyspirly5wgDKHwuu7h1foKQm4zr/NtjfmauSKmp0kWCY9r/LgIAA\nbzejW1D1GFRycjIiIiLw73//29tN8Rp2ux1DhgyB1Wrl1rHjAAAkt7k7r8dqtaJv376CsQj+WFRM\nTAzsdnsnv41ncHe8hy1hbzabOzwGJTWG11ncnRd15MgRjBo1SvE0BNLvx5mQkBAcOXKEOI8pNzcX\nycnJonP06dMHH3zwATGRhmXBggXYvHmzonb2Jj7++GM8/vjj6piw61199C633norM3nyZG83w+vI\nOVXL+a+5i9y4ltFo9Grk05ExKF+rCUXCXYf53/3ud25FUAzjOooyGo3E9P+lS5dy15EURbla0tLS\nuuKS+Tzvv/8+Exwc7O1mdAuqjqAmTZoEhmHwzTffeLspXoWUTffSSy9h1apVsNvtGDRoECorK7lt\nrHOAu2/7cll7YWFhaGtrU3Se6OhogZ0PCdYBQ+4NnE9vdiTYunWrICNOq9Xi1KlTSEhIEG1jycvL\nc5l1CLRHfvHx8UhKSiJm5XUlvfmeyfG3v/0Nv/3tb2Gz2bzdlC5H1fOg/P39UV9f7+1meB2j0Yj1\n69dj1qxZ3LrVq1dj/vz5SEhIcNvHzZ3PqaysxL59+4jilJOTI1p34sQJPPfcc6L1oaGhqKur4/7/\n2muv4fLly5g4cSI++ugjl7Y63Zmm7Qmc50y5SnE3mUycgDgcDtx8883EeUgsd955p+J08u5Oc2dR\n699uc3MzdDqdt5vRLag6gpo2bRqqqqpw4MABbzfF68hFN0ajUZGPm9LPIY1rVVZWCkTKz89P9NAj\nzd0CgF27duGGG24QjXGwY1yfffaZQBRJlJSUcBN5uxK73Y7jx4+jf//+LqMTgCw8JFNdwHtC4Sn8\n/PzcmtuTnZ2NmTNndmGLfJPXXnsNb7zxBmpqarzdlC5H1QL1i1/8AhcuXEBhYaG3m+ITkB7kOTk5\nmDZtmuyEW3f58ssvcc8997jcj//TlHKV2LVrF3eum266CceOHeO2RUREcG4Zciamjz76qKR/HIuU\nywOLkom4jY2NeOaZZ3DhwgXo9XrFLibeEp6uiKCWLl2K6dOni9az1+/DDz8UvAhJYTQaUV5e3m0m\nvL7En/70J7zzzjuKzXZ7MqoWqFmzZuHUqVMoLi72dlN8ArmMPqPRKDuW4e7nOI9rOcOPoIqLi0XO\nFkB7Btidd97J/f+BBx7Ajh07BPtkZWXh4Ycflo2iUlJSiN2G7EOzsLAQixcvFkUszng7gunM5/O7\nAIF2Z/ejR4+iurpaELmVlZUhOjoaFy5cQHNzMwICAhAXF4cLFy4AaO8alhJos9mMsrIyWVEhRfIk\n5s6di23btrn7NXsFL7zwAt5//31cuXLF203pclQ9BqW05IRaMBqN2LRpkyC6sVqtXL2fGTNmIDIy\nknt4OBwOTJgwgesGdOdznMe1nGG7eqTEKTMzUyBOQHs6c0REhCBSSktLw4QJE5CamipoO5+9e/di\n7969xHa489B357fkTneWVBvY9Ha5OlNAu7CcOnUKNpsNmZmZgsH1kJAQPPvss4iNjRV48jEMg3fe\neQcPPPAAd46ORH8sGo1G5MdHwmg04rHHHsNrr70mu1/fvn3d+vzeREtLi2rGoFQvUEozx9TCxIkT\nERUVJYhuli5ditTUVNkkh2nTprn1OQkJCXjllVcku3M0Go1kt57FYsGCBQuIx5hMJtTW1gqMRidM\nmDcZ4b8AACAASURBVIDi4uIOFTF0R3SUillcXBz27t2L8+fPy3YHnjp1CkC7ZyQAnDp1iiu1EBAQ\ngKFDhwrmXkl1Vf/+97+X9Piz2WyC2k58Nm3aROz67IjBMt+sV46CggKX4gSos8wGCxUolaDX69Vh\nuOgGUlVT2ay91NRUWCwWQTfgokWLOjR517k+ER9WWJwxm804cuQI8bM0Gg10Op2osmtlZSVWrVrV\noUFlvujwIxZn+N2BRUVFxJo9rKgYDAacPHmSeLyUK7kvmcW6m8xwxx13IDEx0eV+paWlkpV1nQkL\nC1P8+b0NKlAqISAggAoUAVJ0s2DBAkyZMgUWi4XYDdiRtHOLxSISEzlYJ3OpzEG2Iu6MGTNEIrph\nwwbJ895xxx24++67iWMq/H87Ryz86KexsRGFhYUuqwp3VGjkBKg7xUku+tu8eTO2b98uOiY5Odnl\nee12u6L9WNSQICBFc3Mz/PzU8ehWx7eUwN/fv0PdPmpArvoqqRuQL2DuMGPGDBgMBpfp1uHh4QJx\nImXVXbx4EfX19bDb7XjqqacUZYMBwKFDh/Dtt99y/3cVkXQmYumo0HQmgnKu09XY2IhFixYJ5o2F\nhoZi06ZNKCkpwe9//3vB8cuWLcNdd90lsGMiddd9/vnnxM9XMl9p8+bNogg3KChI0s5HxbldaG1t\npRGUGggICKBjUBKQopuVK1fiwQcfJE7eJZUPV4LRaMT48eMlkxSA9oH8d955B4WFhZxzQUpKChfZ\nOBMfH++WgDiLo6tjOxOxuCM0Xe3xxx9LrKurg8FgwKRJk7hIlOXdd9/F888/7/LlQ6rbbcqUKbLH\nFRQUYNmyZaL1+fn5mDp1KtE1pF+/frLn7M20tLTQCEoNUIGSRy5rLyEhAVu2bJEUMHcYOXKkrEDZ\nbDbB5+h0Otn71tkur85EUKSqwizuFDQkCYucQLgbuUqNJW7duhUajQYajYYYPctBSlwIDw9Hamoq\ncX+73S5ZmDAjIwMXL17E9OnTiYkaaqyky3L9+nUqUGqACpQ8rrL2PJV27q4rs6t75krASCiJVgDX\nIqPEkdyTQtNRpKYUHDlyBBqNBps3bya+fPTp00fUtcpeE5IX3+jRo7Fv3z7RdWtsbMSyZctQXl5O\nbB/fgZ3EvHnz3P3KvQYaQakEKlCucZW154m0c3czstgIJj4+Hm+++SaXVffuu++ioKDA7Wy9vLw8\nt6IVJdt9CSnfPqC9+5Q/L+qrr74CwzBE/74xY8YgJCQEly9fFn2GVFTJn2PmqWzDgICAHnX9PQ2N\noFRCYGAgTZJwgavJu55IOyd1DU2dOhVPP/20aD37cC0rK8OIESMEn7F9+3a3xUmn0yElJcWtY7oD\nvqgosVECPOPbl5ubCwBE1w2bzSbpoK1EeJTsoySFfc6cOS7P05tpbW2Fv7+/t5vRLahaoPR6PRUo\nBbiavCsnYEoICgoSrUtMTJSNwpzfoK1WKz755BPRfiaTCbt375acX+PpbDBXnn0srpwf3JkHxUfp\nfp5OTVciLK7alpmZiZkzZ3LX5J///CdxeoCSiby9GRpBqQQaQSnD1eRdVwImh91ux4cffiha745T\ngNVqxYgRI0STYzUaDQoLC5GQkICXXnpJ0jFBSlSURi58XM2D4tMVNkpK91P62aTxvMjISKxfv57r\nWjUYDPjmm2+I15eNhNlruWfPHmJSBN9X0WKxoKCggChORUVFqu7eA9rvcXBwsLeb0T10Y3FEn2P7\n9u1MQECAt5vRY3CueqrVapny8nKGYRimpKSE0Wg0gu1ZWVkuz5mdnU2slpqenq6oTeXl5YzZbCae\no6ioSLCfc/vYpV+/fpJVW/39/b1a6dfddkjtFxsby2RnZxMrA2dnZ4sq3prNZiYnJ4cpKSlhTCaT\nYNuKFStE92HFihUu76PNZiPeq8zMTMG5SkpKiOfKz89X9Jvo7YwbN465++67vd2MbkH1ERSj4gl/\n7iI3edeV+4QUe/bsIa5XEkHZ7XaMGjWKOO6Un58vsNexWCxYtmwZ3nnnHdG+ci7lXenS4CqKUZpZ\nyCIV8UllF/Lvi8FgEHTT1tTUoLGxEQkJCfjggw8EY1Kvv/46Fi1aJJhOIFXhmD9JlzQZ12w2C3wV\npRwlMjMzMX78eMnvriboGJRKMBgMtIvPDVxN3pUTMCmkuiqUZPZt3ryZ+GDMz88XPcxKS0uJ4uQK\ndzPP5OZB8enIBFulXVsd6QKT66Z1doInTSdwNUlXajKus8P5p59+6lLE1A4VKJVAIyj3Ic19Gj9+\nPM6ePSspYAsXLpR8aEpFSq7scfLy8ogPvIiICKI4uTIrJRnBujsGpXQeFB9fGU9hxxn5VYmrqqq4\nZBdX0wlI9zEkJASpqamSJrD5+fmCKKy0tFRQ8oNFSZkONdHa2gq9Xu/tZnQP3u5j9CaHDx9mtFqt\nt5vR4yCNG2VnZzMM0z7OEBERIdj20ksvSZ4rPT2dON7Ano9Ebm4u8Zhf/vKXTExMjGBf0tgY/m/8\nbM2aNdyYjM1m88i16ek8+OCDgusUGRnJ2Gw2xmazMRaLRbDNYrFw1410H5ctW6Z43Km8vFw01gWA\nef/9971xGXyaIUOGMGlpad5uRreg7ULt83kCAgJoBNUB2C4fPkuXLoXdbofRaBS5AKxevVowT4oP\nyZWaffMmUVBQgMmTJ4vW5+bmIi4uTnA/rVYrkpKSRPdYo9Hg1KlTWLFiBaZNm4aUlBT6hv5/8CMo\noP3+7Nu3j5tOwMdqtWLfvn0AyBFUQ0OD4nGnxMREkROF2WzGQw891Knv0xtpa2tTTQSlaoEKCgqi\nAtUBjEYjCgoKoNFouHVs2jnQnkzB38aORZEgXf9HHnmEKBjFxcXEriI2RZlvcsomUJDsd5QWz1Mj\nrMMEn0WLFsFut2PixImiF5MDBw4AAHFMhLUzcsa5y27z5s2CsS+p/SjtUIFSCaTCcxRlsFl7fBYs\nWACr1QqLxYItW7YItq1cuRKlpaWi84SGhorWkURFSel3vkBJJVAUFRUpKp6nVvz9/UUPP3biNWtt\nxWf16tUoKCgQrQeAbdu2idY5jzvJOZnTlwgyahqDUrVAkRwMKMpZuHAhtNr//YT4kRKbTMHfNmHC\nBNjtdm6d1CRd56hKSpycS7+zbZFKoKDi5BqHwwGtVouoqCjBerYL17l71+FwuCynweKcKi6VPJGb\nm0tTymWgEZRKYAWKppp3DDZrjw8bKZHettnML5bdu3cLBIuF/3CUEifn0u+FhYXYs2cPqqqqiGNU\n33//PRUnBbS1tUGj0SA/P5/YhUu6r0oKEroz34mNiClkHA4HAgICvN2MbkHVaeasn1VLSwsCAwO9\n3JqeiVzJDVdGsq4m6UqJk8lkwssvv4ynnnoKBw4cwKVLl9DW1obQ0FDJl43bbrsNWq0Wer0egYGB\nMBqNCA0NhdlsRlRUFCwWC+Li4tC/f38MGjQIQ4YMgdls7uzl6XGw109u4jXpvrqCNO5E5zt1DDVF\nUKoWKJampiYqUB3EVckNOSNZuUm6paWlRHEC2seonn76aQwYMAApKSmYPXs2/Pz8iJl/mZmZ+PWv\nf41r166hpKQEZ86cQVlZGc6fP4/y8nJUVlbi9OnTOHToEOx2OxobG9HS0sL5z+l0Ouj1egQFBSEk\nJARhYWGIiIhAdHQ0YmJiOFEbMmQIBg0a1OO7jRmG4SIn0sTrbdu24dlnnxXdVzmUjjvRpAhltLW1\n0QhKTTQ0NLhdk4jyP+QiJTmHAqlJukePHsUNN9wgWq/VavHrX/8ay5cvFz3wSGMZ/DEqk8mEpKQk\nJCUlKfpODocDFRUVnKidP38ely5dgtVqRUVFBY4cOYJvvvkG9fX1aGpqQktLC/dw9/PzQ0BAAIKC\ngmAymRAWFoaoqCj06dMHffv2RXx8PAYMGIDBgwejf//+PuVM3draygmUxWLBhg0bBJNn33jjDSxe\nvJjL6CNNE+CjdNyJJkUox+FwqOaF2nf+MryERqNR7FRNIeOq5IaUE7rUSwFbk4iPyWTCyZMnRc4L\nUqnn0dHRgjEqd9FqtbBYLLBYLLj99tsVHdPa2ooLFy7g1KlTOHfuHM6fP4/Lly/jypUrqKqqQklJ\nCerq6tDQ0IDm5ma0trZyosZ2PQYHB8NkMgm6HmNjYxEfH49BgwZh8ODBiI6OFiSneBLnBBVn0bhy\n5Yqku4Qzzkks1GfPMzgcDtrFpyaoQHUeuUiJNJ5BKrkgBVs2w1mcpLoB09PTsWrVqm7vLvLz88PA\ngQMxcOBAxcc0NDTgzJkzKC0txdmzZ3HhwgWUl5ejoqICZWVlKCoqgs1mQ2NjI5qbm7muR3Y8zWAw\nICQkBKGhoYiIiEBUVBRiYmIQGxuL/v37Y/DgwRg8eDBMJhP3mXLlRa5evQqHw4Evv/wSQPvfBr+y\nLgA8+uij3DYpdDqd6AWBjjt5BjVFUBpG5TNVdTodCgoKMG7cOG83pcdTWloqiJQAYMmSJaiurkZ+\nfr7INVxJkTuAnB5utVoxbNgw0Zwpi8XiVjXfnoCzoFy9ehW1tbXQarUoLCyE1WpFTU0Nrl69yolZ\nS0sLGhsbBUa3Go0G/v7+aG1tlUwm4c8l6wyzZ8/GP/7xD+7/Ut2wJSUltGvPTQwGAzZv3qwKlw3V\nR1C0i89zaLVa3HnnnYIuug0bNiAhIQE///nPERERgbVr13LbOiNOI0aMEImTyWTqVLeeJyBFJ3Km\ns662xcfHIyUlBRcuXBB9lpzTOmkbwzBoaWmRbb+n3lfj4+O5f9NxJ8/CMAzt4lMLWq1WVImV4hqH\nw4Hdu3dj+/bt+OGHH3Du3Dk0NzcLupJYFi1ahBUrVsBut2Pr1q2K05NJ4iRVA0qqG9AVrKAAcFn+\nwpXIFBYWYvHixcT6Uu6KCQupoi2LXBmQjtax0mq1HpkX+Pbbb+Pvf/87jEYjTp06Jdqenp6OoUOH\ndvpz1IiauvhUL1A0glJGVVUVPvnkE+Tk5ODo0aOoqKiAVqtFbGwsxo0bhz/84Q+YOXMmAgMDsWrV\nKkH574yMDCxbtoyYTCGFc8FBlg0bNhAtjN577z0EBwdj7969igWmsbERy5cv5wTFVe2njooM0HEx\nkRKnzrRHqmaVwWDAd999h9deew3bt28XbTty5IjACDg8PBxbt27FvHnzUFdXJ9j/1ltvxdixY7F3\n716i4L311lvIyMgAIEzlNxqNCA8PJ6byJyQkYPDgwT0+lb+zMAyjGps21QuUVqtFU1OTt5vhcxw6\ndAjbtm3Df//7X5w6dQr19fUIDg7G0KFDMW/ePMydO1dy3G7p0qX405/+xHUXVVdXY+fOnXj44YeJ\nyRTOvPLKK6ipqeEG6oH2B+TFixfx3HPPEY95/PHHOyUwgOuoozPHdlRM2G3x8fF48803uQdTZ7oN\n5WpWFRUVwd/fn6vzJEdtbS0aGxuJGYUjRozA9OnT8fbbb4u2seNOcqn8lZWVbqfyR0ZGwmKx+Hwq\nf2dhGIbOg1ILGo1G9QLV1NSE7Oxs7Ny5EwcPHsSlS5fgcDgQHR2N0aNH49FHH8W8efMUOytYLBbZ\n8u/OhfGceeGFFzr0PTojMIDnIijn4oedEZPhw4ejrKwMI0aMIIqKXJdmR4ohslZHJMaNG0fM1CR1\nkcfFxREtp/jjTp1J5eeLGj+Vv7S0FNeuXUN9fb1bqfx9+/bFgAEDuiWVv7PQCEpFqDGCKi0txdat\nW/H111/j+PHjuHr1KgICAjBw4EBMnToVs2fPxtSpUzv1BypX/j0hIQEBAQEeH/vrqMDExsZiw4YN\nSEpK6tQY1IkTJwBAMkLpqJh0Z9VdufEntuqu85w2EqSXDE+YwHY2lf/cuXO4ePEiLl265LFU/kGD\nBmHo0KHE8deugAqUitDpdL06SYJNZvjHP/7BJTO0tLQgPDwcI0aMwDPPPIP58+e79QevBKny7w8+\n+CASEhLg5+fXqev+4osv4pZbbuH+76o8u9R25y4vV2LgK0LSVfCtjkiQ5rQpwZsmsEFBQRg5ciRG\njhyp+Bg2GmOtsS5dusRZY/3444/Iz8+H3W7nuh5ZYed3PbLWWJGRkejTpw83njZgwAAkJCQgISGh\nQ9l4DMPQJAm1oNVqXabe9iSqqqrw8ccf48svv8TRo0dRWVnJJTMkJydj1apVuP/++7vlB04ykh0/\nfjzOnj0LnU5HPCY7O5t7Ozxz5gzRsy0jIwPPPvss8fjOCAxFvouPxTk6dkVPnIwbGRmJyMhIwUuQ\nHA6HA5cvX8apU6e4CdfseFpVVRXKyspQV1fHdT1ev36dexnw9/dHQEAA1/UYHh7OjafFxsYiLi4O\nAwcOxODBgxEbGwtAPbXsqED18C6+gwcPCpIZGhoaEBwcjGHDhuHhhx/G3LlzcfPNN3ulbSQj2aqq\nKuzevZsoUEuWLMHMmTMBtHdDkrL9LBYLFi9e3HWNVjlKRIfk0SeHGkxg2ZdAVkCU0NLSgrNnz3Jd\nj2VlZSgvL8eVK1dgtVpx4sQJ2Gw2NDQ0oLGxkbs3Op2u119PFtULVE/q4mtoaMDnn3+OHTt24ODB\ng7h8+TIcDgf69OmD0aNHY9GiRW4lM3QHbIE7/ljF0qVLienT7MRdq9VKNHV1rgFF8TyuuvhYlE6w\nff/99+lkXAn0ej2GDRuGYcOGibZdu3YN77//Pv7xj3+guLgYDocDMTExuO222/DII4+oJtWeCpQP\nC1RpaSmysrLw9ddf48cffxQkM6SmpuLBBx/E5MmTfTbbCGiPogoKCkQD66QuirCwMFmXiOPHj9Mu\nui5GSRcfQM7oc8ZsNqvCjscTOBwOfP3119i4cSO+/fZbVFRUIDg4GElJSVi7dq2qRIkPFSidzifG\noFpbW/Gf//xH4MzAJjOMHDkS6enpmD9/Pvr37+/tproNaWCdlMhw+fJljBgxwmMuERRl8O2Zzpw5\nA4ZhiBOenRNN1qxZI9vNp4auvc5QVlaGd999F//6179w+vRpMAyDhIQEzJkzB08++SSGDBni7SZ6\nHdWbxQ4YMADTpk3DX//612793IqKCmzbtg1ffvklioqKUFlZCZ1Oh379+iE5ORkzZ87EL37xi16T\nrWO1WtGvXz/ZMQ6DwUAULpLlkVrhi0ln51edOHECNTU1AjcNV7hK5WfJz8+nJTScaGlpwZYtW7Bt\n2zYcOnQINpsNERERuP3227Fw4UJMnz7dp3tDvAGNoLopgtq/fz+2bduGb775BqdPn0ZDQwOMRiOG\nDRuGtLQ0zJ07V3ExvZ4IKe3cmd4mTkp8/txJjyeJSWcdKtxFyTExMTFUnP6P/fv3429/+xtyc3Nx\n6dIl6PV6jBw5EitWrMCSJUt8arzYF6ECpdN12FhTioaGBs6Z4dChQ4JkhjFjxmDx4sWYM2eO6n6c\nzmnnruhucZKqkwS4P8/KHZ+/zjhYdIX/nxxKhG3r1q0dOndvoKqqCuvXr8fnn3+O48eP4/r164iL\ni8PUqVPxxBNPeC2jtqeieoHy8/PrdAR1+vRpZGVlYc+ePfjxxx9RV1cnSGaYM2cOUlJSVB++k9LO\npZAyiwXcL2mhZDsALF++HCUlJZJt8oaQuNruqQiKtWfKzs5GXl4ePv30U8XRnsFgQENDA9asWYPV\nq1d7bUKuN3A4HPj888+xefNm5Ofno6amBiaTCcnJyXjvvfcwd+5c1ZTG6ApUPwaVmJiIIUOG4LPP\nPlO0f2trK7766itkZ2fjhx9+QFlZGf5/e/cW2uT5xwH8a0xn1FprWmNqQzSNOdkyPOEBdENk88YJ\nuo1N8axIq+iu9EbGQFF24YWCVoKo4AEVNlCGOhEVT0xl81C1zamNado0rW2NbaxpDG//F/u/L0Zn\nTbWHp833c9m+0LcH+n2f3/s8v188HodWq0VRURG+/vprLFu2rF9uZugN0WgUJpOp01XUzp07MWnS\npKSPfepIi1Q+35O6cwUlh4lWq/3kd1Dyuyy5m8bWrVtx/PhxhEKhT/huB7aKigqUlpbiwoUL8Pv9\nUKlUsNls+Oabb7Bx48YunYWizqX9CiojI6PTFZS8meHcuXN4+PAhGhsbMXjwYBgMBsyYMQM7duzA\nokWL+JSUInnb+cc0i+3JbuSp+JgA/FCfv66u/P6rG3l39vhL9RxUOolGozhy5AhOnTqFBw8eoK2t\nDXq9Hl9++SWcTud/NsWl7pH2AaVWq5V/KpIk4c6dOzh58iSuXbsGn8+XtJlh1apVWLp06TtP99Q1\nZrO500F879OT3ciB989JAj6uhNiVPn+itGhK9RzUQHf58mUcPHgQ165dQzgcxrBhwzBp0iTs2rUL\na9eu5fb5XpL2ATVo0CDcvHkTOTk5eP78OTo6OpCXl4fJkyejuLgYS5YsQXZ2dl/f5oDz66+/YsuW\nLUkf60rAdGWkRaqf72xOkkyUIOkp6bqCqqmpUc4kud1uSJIEk8mE7777Dhs2bIDD4ejrW0xLaf8O\n6tatW5gzZw4GDRqEjo6OpNkxckdieW6MPAjNZDLBarXC4XCk3U687rR792788ssvWL58OX744YeU\nAwZ4/0gL+jSbN2/GmTNnUF1d3de30qMSiQROnDiB48eP4+7du2hpaYFWq8WsWbOwatUqLF68OO03\nNYkg7QPqbbFYDD6fDy6XC1VVVXj69ClCoRDC4TCam5sRiUSUjsRyiUqtVmPo0KHIzMxMmuxpMBiU\nLsR2ux3jxo3jHz0JbdOmTTh79uyADKh79+6htLQUly5dQjAYREZGBgoLC7F48WIUFxcjNze3r2+R\n3pL2Jb63aTSalGfHSJKEmpoaVFRUoLKyEn6/HzU1Nairq0N5eTlu3bqF1tZWxGIxpTSlUqmU1voj\nR46EVqvFmDFjkJ+fj3HjxsFsNsNqtcJutw+YLhLUf0iSNGAeopqbm+F0OvH777/j8ePHiMfjyM/P\nx7x581BSUpLyKA3qOwyoT6BSqWA0GmE0GlO6PhKJoKKiAl6vN2lcdSgUwqNHj9DS0qJM9Xyz1ChP\n9Bw1ahR0Op0y+KygoAAWiwUTJ07k0x91i1RnPIlIkiT88ccfOHLkCG7evImmpiaMGDEC06ZNw759\n+7BixQrutu1nWOITVDweh9frhcfjgc/nQ3V1NWpqalBfX4/GxkZl+FksFksqNWo0mqRS45gxY5Km\neDocDphMpgHzlEzdq7i4GBcvXoTf7+/rW0mJ1+tFaWkpzp07h6qqKgCAxWJRziTxPGL/xhWUoD77\n7DMUFhaisLDwg9fK0zzdbjc8Hg+ePn2KYDCIcDgMt9uN27dvo7W1Fa9evUIikUBHR4dSahw2bJhS\natTpdMjPz4fRaITZbIbNZoPdbk/LNv/pSvQSXywWw+HDh3Hq1Cncu3cPL1++hE6nw5w5c7B3717M\nnz9f6PunrmFADQBvTvNM5dBgS0sL3G433G53Uqmxvr4eFRUVePHiBdra2hCPxyFJkjKW+s1S4+jR\no5VSo7wRZOLEif1+m3W6E7HEd/36dTidTly9ehXhcBgajQaff/45tm/fjnXr1iErK6uvb5F6CEt8\n1KlEIoHKykq4XC5lNHVtbS3C4TCampoQiUQQjUbR3t6uTMRVq9UYMmSIUmrMycmBXq9Hfn6+Umq0\n2+0wm81Qq/mMJJI1a9bgxo0b8Hq9fXYP4XAY+/fvx9mzZ+FyuZBIJDB+/HjMnz8fJSUl/ba7PXUd\n/ztQp9Rq9XvHUr9NkiQ0NDSgvLwcPp8Pfr8fwWAQdXV18Hq9uHv3rlJqfP36tVJqlM+cvVlqlM+c\nFRQUwGazweFw8NxTL5BXzL0pkUjg9OnTOHbsGO7cuYNIJILs7GzMnDkT27Ztw7fffssHmTTF3zp1\nG5VKBb1eD71en1JH62g0CpfLBa/Xi8rKSlRXV6O2thYNDQ1wu91KqbG9vT2p1KjRaJJKjXq9XtkI\nYrVaYbPZMHbsWL6L+Ai9VVApKytDaWkpLl68iEAgALVaDYfDgZ9++gnFxcUsFRMABhT1oczMTEyb\nNi2lGTmJRAJ+vx9utxs+nw+BQADBYBD19fW4f/8+rl69img0ilgsppQaBw8eDI1Go5w5k3c1GgwG\nGI1GTJgwAVarFRaLhduP/09e1Xa3lpYWOJ1O/PbbbygrK0N7ezvy8vIwd+5cHDt2DLNnz+72r0n9\nHwOK+gW1Wg2LxQKLxZLS9Q0NDXC5XPB4PEmlxqqqKvzzzz9obW1FW1vbf5YaR4wYgZycnKT2VvKZ\ns8LCwgH9Ur67msVKkoQ///wThw4dwo0bN/Ds2TMMHz4cU6dOxZ49e7By5UoeRKcPYkDRgKTT6aDT\n6fDFF1988Nq2tjZ4PB5lV2MgEEBtbS3q6+vh8/mUM2dyqRGAsqsxMzMTo0aNQm5uLvLy8pT2VvKZ\nM4PB0K9KjZ9S4vP7/di3bx/Onz+vbLIwm81YtmwZNm7cCLPZ3F23SWmCu/iIukCSJAQCgXfaW4XD\nYTQ2Niq7GuUzZ8C/pUa5vVV2dja0Wi30ej3Gjh2L8ePHo6CgAHa7HVartc9LjUuWLEFZWRmePHny\nwWtjsRiOHj2KkydP4u+//0Y0GkVubi5mz56N1atXY8GCBf0qnEk8XEERdYFKpYLJZILJZErp+sbG\nRmUjSFVVFYLBIEKhEAKBAO7fv6+UGuPx+Dud9LOyspLaW/VGJ/0Plfj++usvHDhwAFeuXEEoFMKQ\nIUNQVFSEn3/+GevXr+doGupWXEERCSIWi8Hj8SS1t5JLjU1NTUmlxvd10h89enRSe6uudtL//vvv\n4XK58OjRIwD/vss7cOAAzpw5g/Lycrx+/RpGoxFfffUVSkpKMGXKlB79mVB6Y0AR9UOSJCEYDCqr\nM3lXYzgcxrNnzxCJRN7bST8zMxNZWVnIycmBTqdTdjWazWY4nU54vV4UFRXh9u3beP78OUaOHInp\n06djxYoV+PHHH3kmiXoNA4ooDTQ3Nyu9Gv1+PwKBAOrq6tDQ0IDm5malk34sFkNGRgZsNhsWH4XZ\nQwAAATRJREFULlyIkpISGAyGvr59SlMMKCIiEhK32BARkZAYUEREJCQGFBERCYkBRUREQmJAERGR\nkBhQREQkJAYUEREJiQFFRERCYkAREZGQGFBERCQkBhQREQmJAUVEREJiQBERkZAYUEREJCQGFBER\nCYkBRUREQmJAERGRkBhQREQkJAYUEREJiQFFRERCYkAREZGQGFBERCQkBhQREQmJAUVEREJiQBER\nkZAYUEREJCQGFBERCYkBRUREQmJAERGRkBhQREQkJAYUEREJiQFFRERCYkAREZGQGFBERCQkBhQR\nEQmJAUVEREJiQBERkZAYUEREJCQGFBERCYkBRUREQmJAERGRkBhQREQkJAYUEREJiQFFRERCYkAR\nEZGQGFBERCQkBhQREQmJAUVEREJiQBERkZD+B3XOpTVhyM5UAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "DIMS: 6\n" ] }, { "data": { "image/png": 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D48ePR15eHsaPH4+MjAy/yBcqtLe3IyIigm8xAoogTXz/+c9/8MQTT7h1gndF6HpkBoMB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\nfwqFooPvKTIy0u056urqUFZWhvz8fLf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1dv8/ZcoUhIaGCh6HZ8S0atUq/PrXv8azzz4ryeSkhKtRKbJYLH4fRclhQ0Ol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\ngt+4XK5Od4yWI4ZT8Cf0mTN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1dv8/ZcoUhIaGCh6HZ8S0atUq/PrXv8azzz4ryeSkhKtRKbJYLH4fRclhQ0Ol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\ngt+4XK5Od4yWI4ZT8Cf0mTN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pJ4pPUAzD4OjRozAajaitrQXHcRg0aBDGjBmDzMxMzJo1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\nAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for dims in range(3,9):\n", " print('DIMS: ' + str(dims))\n", " hyp.plot(hypercube(dims), 'k.')" ] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.11" } }, "nbformat": 4, "nbformat_minor": 1 }