{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# TARUN SUNKARANENI'S Point-Clustering Notebook: K-means++ Algorithm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "_cell_guid": "b1076dfc-b9ad-4769-8c92-a6c4dae69d19",
    "_uuid": "8f2839f25d086af736a60e9eeb907d3b93b6e0e5"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['C3.csv', 'C2.csv', 'C1.csv']\n"
     ]
    }
   ],
   "source": [
    "import numpy as np # linear algebra\n",
    "import pandas as pd # data processing, CSV file I/O (e.g. pd.read_csv)\n",
    "from matplotlib import pyplot as plt\n",
    "from scipy.spatial import distance\n",
    "import math\n",
    "import seaborn as sns\n",
    "import matplotlib as mpl\n",
    "%matplotlib inline\n",
    "sns.set_style(\"darkgrid\")\n",
    "mpl.rcParams['figure.figsize'] = (6,4)\n",
    "mpl.rcParams['figure.dpi'] = 200\n",
    "# Input data files are available in the \"../input/\" directory.\n",
    "# For example, running this (by clicking run or pressing Shift+Enter) will list the files in the input directory\n",
    "\n",
    "import os\n",
    "print(os.listdir(\"../input\"))\n",
    "\n",
    "# Any results you write to the current directory are saved as output."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "_cell_guid": "79c7e3d0-c299-4dcb-8224-4455121ee9b0",
    "_uuid": "d629ff2d2480ee46fbb7e2d37f6b5fab8052498a"
   },
   "outputs": [],
   "source": [
    "c2 = pd.read_csv(\"../input/C2.csv\", names=['x0', 'x1'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "_cell_guid": "50c3123b-67cf-4372-9456-a78981dcdf47",
    "_uuid": "82f766f93637a079b88e72aeb73ac720a0d79270"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x10bf2bef0>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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      "text/plain": [
       "<Figure size 3200x1600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(20,10), dpi=160)\n",
    "plt.scatter(c2['x0'],c2['x1'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "_cell_guid": "e3b1ea36-fbda-43f1-af9a-9e757982e9ac",
    "_uuid": "5a5602d0ab3e4bbdd2b32f3e77fffecc971e81df"
   },
   "outputs": [],
   "source": [
    "data_set = []\n",
    "for index, row in c2.iterrows():\n",
    "        data_set.append([row['x0'], row['x1']]) \n",
    "data_set = np.array(data_set)\n",
    "        # prelim work to get every point into a list of coordinates"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "_cell_guid": "d0b003c1-8fe0-40a3-ade0-8213840e6211",
    "_uuid": "1aca3159f8980fad6942ede758e818ee4ff93683"
   },
   "outputs": [],
   "source": [
    "def init_kmeans_plus_plus(points, K, c_init = None):\n",
    "    assert K>=2, \"So you want to make 1 cluster?\"\n",
    "    # get the first centroid\n",
    "    if c_init is None:\n",
    "        centroids = [points[0]]\n",
    "    # choice next\n",
    "    for k in range (0, K-1):\n",
    "        \n",
    "        prob_distribution = []\n",
    "        for point in points:\n",
    "            proba = distance.euclidean(point,centroids[k-1])**2 # compare to last center point\n",
    "            prob_distribution.append(proba)\n",
    "            #normalize these values at the end so that we can now use the array as a probability distribution function\n",
    "        prob_distribution = np.array(prob_distribution)/np.sum(prob_distribution)  \n",
    "        #Now we will get one of these values and add it to our clusters\n",
    "        centroids.append(points[np.random.choice(range(points.shape[0]), p=prob_distribution)])      \n",
    "    return np.array(centroids)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "_cell_guid": "71f5e38a-83bc-46f2-81c9-8fa23f4bb377",
    "_uuid": "8bfc0f2eb7851f93b00126f3fa61d0061558608b"
   },
   "outputs": [],
   "source": [
    "cluster_points = init_kmeans_plus_plus(data_set, 3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "_cell_guid": "ec6eec66-06bb-4fbd-af49-1dd6ee1f4658",
    "_uuid": "baf67ac7a9c0fd776fec9be803002705b23cb4dc"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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jrm198c9f3BN//Y/fjMNfP1Pxc+2potJdWbNWmqw0/FpusVxJ1byyt756Q7xzWzZtmeshTSv3e27bXIspRXfKNfKHnxm5/P8FmgEAAABoBsKAAAAAtLy0gY60+1ej0W0yG1WZr9Gvm/pV0Hxk/Fzc++Un4n8dfzqeq6IqYFtE1UHQZq40WW34tdIWy0mOU6M1ayv3vrXd0dXRnvh9MZNAMwAAAADNQBgQAACAlpcm0NHV0R43rq1PWKjRbTIbVZmvHq+7WSvDNZNaV9AcmSjE733qa/GVsXNVjdvV0R47tqyLnVUG95q50mTS8OvMFssH5wg4JjlOzaBZW7l3dU6HRg8Mj2c2pkAzAAAAAI0kDAgAAEDLSxPo2LFlXd1CY41sk9nIynxpX/dCQb9mrgzXbGpZQbPS9TXTj7/s+viJV6yPGxMEN5u50mTa8Oumnu6457bNcde2vjg+Y90nOU7Noplbue/q740HhservkYtJssgNwAAAABUShgQAACAJSFJoKMtInb299ZqSldoZJvMRlYkTPO6P/bIU3H+4lR86tFTcwb9ujrb44NfPtGUleGaUa0qaCYJAkZEfPToU1E8X4q337qxqnXW6Aqbi8kq9NvV2Z55NbxGVdBs5lbum3q6Y89gX6I1vJCsgtwAAAAAUI0VjZ4AAAAAZKEc6KjGnsG+ulVtyqJNZtX7TZbi6PjZ+M+fO544nJRWmtf97IWL8dGvPnnV/uWg31/NEwScqVwZbt/QiURzWErKFTSTmK+CZpJg3kyfyk/EHfcOVXV+0oTtai1t6LdYowp4IxOFeNenH4vt73sw3rbvSPzK/V+Nt+07Etvf92C869OPxchE9deXapSDqEnUo5X77oENcfdgX7RlPG4tzykAAAAAzEUYEAAAgCWj0kBHW0TcXedqcfVskzk7+PP50TOJnjOLIEst23tWY+/h0ZoHnlrBrv7eqgNPC1XQTBLMm62awGazhu3KGhH6Xcy+oRNxx71DcWB4fN5gbbWBzGrVIoiatd0DG+K+Owdi503rEwcXZ6vVOQUAAACA+QgDAgAAsKQsFOjo6miPnTetj/vuHKh729h6tclcKPhTrSyCLLVs71mNelWGa3ZZVtAsTpbivx99MqupVRTYbMaw3Uz1DP1WotzCuRkqaGYdRK2FTT3dcc9tm+PQO26ND+zuj/fufHn8+g9vSjVmswSiAQAAAFgeVjZ6AgAAAJC1cqDjrm19cfx0IQqTpejunG41WY8KU3Mpt8lMEmSqtE1mOfiTpbRBljSvO2sHj52Mu7b1NWwNNItyEHbvIiGxtpgOAs4XnP37kdNxvpS2LuB3lQOb99y2ed5tmi1sN1u9Qr+VSNLCee/h0bhl4+qatE8vB1GruUbVs5X7TF2d7bF1/arL/z+NZglEAwAAALA8qAwIAADAklUOdNy8cXVsXb+qoSGwWrfJTBL8qUTaIEua1521VmjZWZwsxdHxs/HQ40/H0fGzNWtrm0UFzU8+mqxd70IWa+Wbdj1+40yxouOa9DyUw69JVBr6rVSSFs6VVtBMenyauZX7fJrpnAIAAADAYlQGBAAAgDrZ1d8bDwyPVxXQqbRNZpLgz2KyCrIked210qwtO0cmCrH/yFgcOnbyiiqKXR3TYcpd/b2ZV0hLU0GzOFmKLz/+rUznEzEd2Px0/mRcv+qa6O5snw5izZhL2kqTf/iZkYiY/7imPQ/l8OuB4fGq51ZJ6LdSxclSHDqWLKy5UAXNLNbp7oENccvG1XH/kbHp8OescXZsWRc7a7Dek2qWcwoAAAAAlWibmmqGP8U3j1OnzjkgADSNNWumPwA7c6a5K9gAQC0ttfthta18K6mOVZwsxfb3PZh5K96dN61fsGVrNWrRwjiJD+zuv9z+s1nsGzqRumVvvR0dPxtv23ek5s8zV8jsXZ9+LFEway4zj+sHHnoi/uTz30h9HkYmCnHHvUNVh37vu3MgswBc2vMz1/ukFuu0OFlqmlbuC2mGc7rU7oUAUC33QgBwP4Tl5Lrrrl2suca8VAYEAACgpRUnSzE6I0wyu5JYsymHZLIM1YyeLmQeBKy0ImGlKn3dtVSrlp1p1mClIcmpiMvbNUMgsF4VFovnS3FgeDweGB6//H7IstJk+bh++OFvxvjZ5yrePmL+87Cppzv2DPZVFX7dM9iXaSW8tOdn9v61WqflVu71Vu17thnOKQAAAABUQhgQAACAltSItqpZybpNZi2CWbUIsiz2un8k1xOfePRUPHvhYqbPW/YjuZ5Mg6Jp1+DIRCH2Vlktce/h0bhl4+qGr+3uOgduZ4fMqg1mLaaSIOBMi52HWoR+q5H2/Mzcv5XX6Wxp3rONPqcAAAAAUAltgmfRJhiAZqLcNwDMfT9sxbaq88miTWaWLVvrddzme91ZtoCd7ZqVK+INW6/PJCiaxRpM+lqzbN+cVK1aUy9mZuvVSs5BLVVyHkYmCpmFfquR5vx0dbTHoXfcevk61MrrdKas7huNOqfV/G7YahVzAaAS/k4KAO6HsJykaRMsDDiLMCAAzcQP9QBw9f2w0naVZXe3QCAwrSyCWbUOslRqZKIQd9w7VNOAV9rAYxZrMM05u2blivjkL/5gw8M9tQxuLmRmyGy+YFY9zA7NLSSL0G+1sgjxZRkqbKRa3DfqfU4r+d2wlSvmAsBi/J0UANwPYTlJEwZckeVEAAAAoJaStqscmVjafyDr6pwOeiSxbdOa+MDu/jj0jlvjnts2NzwosqmnO/YM9tX0OcotZ/cNnah636zW4OjpQuLw2rMXLsb7vnA80b5Z2tXfG4n/IpXCwWMno3ipNfamnu6457bNcegdt8YHdvfHr/+zTXWbR/H8dBisEl2d7bF1/aq4eePq2Lp+VeahseJkKY6On42HHn86jo6fjeJkKdH5aYuInf29l/87zTqt5vjUUq3uG7U+p9XaN3Qi7rh3KA4Mj191zornS3FgeDzuuHco0XUPAAAAgNYhDAgAAEDL2H9krOqKcVMRcf+RsVpMp6kkDf780utubIogy0y7BzbE3YN9i76etoh466s3xM6b1sc1K6v/E0eSoGhWa7Awma6K3X0PjzU81LOppzve8pr6V92cK2RWDmZ9/9quus5lvvM4VzivFkYmCvGuTz8W29/3YLxt35H4lfu/Gm/bdyS2v+/B2H9kLN7y6urOz57BvisCwWnXadr9s5DmPVuv85hWufLhYq8zTRAaAAAAgNawstETAAAAgEoUJ0tx6NjJRPsePHYy7trW11SBt6yVK+pV0wpzdvCnnoqTpRid0WKzb1aLzd0DG+KWjavnbAE7V0vj8xen4qNffbKqOZQDP+WWqJXMOas12J3BWtx7eDRu2bi6odUcGxWOmi9klsVxrcbs56tnm9Z9Qydi7zwBsHIluLaIeP2mNfH3I2cWDIrN1zo77fGs9/mYLc179iNffTI+/shT8cyFi5e/14ztdpNWPmz0tQMAAACA2hAGBAAAoCVk0a5y6/pVGc+quZSDPPMFhMrmC/7UQzVhqXIL2Lu29cXxGcHBG2cFB4uTpfjUo6cSzaeaoGiWa7BvbXd0dbQnHi+i+jBj1tIErdKaL2SWxXGtVFfH9FosqySc98DweOr3XnGyFH/6hePx4YcXr3g6FRGfHTkTb33NhnhmslRRsHamNMdz9vFphDTv2QsXp+LCxSvPZpbnMStpKh826toBAAAAQO0IAwIAANASlkK7yojFK+KlHe/2l6+vqqJePSUNS5VbwM6nXkHRLNdgV+d0+PHA8HiqMecLM2a9zuaS5rinsVDILKvjWokdW9ZdPqblNq2LKbdpjYiqg2TlIO3HH3kqnp1Rra4SH/zyibjvzoFFg7WzpTmeM49Po9Tqup/mPGZJxVwAAAAAZhMGBAAAoCW0ervKrNuHVjJetcGfWqplWKpeQdGs1+Cu/t54YHi86qpeM80OM9arTe3IRCH+4sEnUo2xftXzYvzsc1Xvt1jILIvjupi2iNjZ3xsR9WnTulCQthJTEfHezx2Pn7v1hqqDoUmO58zj00i1vu43ut2uirkAAAAAzCYMCAAAQEto5XaVWbcPrVc70qzUOixVr6DoPzzxrcTPMdca3NTTHXsG+yoKSS7kkSfPxXcmS/H50dPx1w/P3TI0y3WRNphW9suvuzH+r4OPpgqZzVUBMavjupA9g32X12at27RWGqRdzOdGz8TnRs9cDoa+cev1MRWxaPXIJMdz5vFppFq3jW50u92lUjEXAAAAgOwIAwIAANASWrVdZdYV8aodb/LCxfjZW26oaK61ai1b67BUPYKi+4ZOxHs//42qxy+bbw3uHtgQ42efjQ8/PJZ47D/8zEjF26Ztb5pVMK2roz1+aNPaxCGzSiog3j3Yl0locaa2S3O4/eXr4+j42ThTOB8fO/pUorEqadOaJEi7mHIwdPa1dKHqkeW1stjxLB+fZgghR9SnbXQj2+22esVcAAAAALInDAgAAEDLaLV2lVlXxEsy3ns//4342qlCvP3WG+at1FXL1rLFyVIcOnYy0b6VhmxqHRRNG8habA3+4mtvjI985cl49sLFxM9RrSTtTbMMppWPe5KQWTWVMe+7cyDuPzIWB2et7SRu6l0Vb3n1hnjw8adj+/seTD1eJW1akwRp08xnoeqRuwc2xC0bV895PLs62mPHlnWxM6M21FmqddvoRrbbzToIXatAOAAAAAD1IwwIAABAy2i1dpVZV8RLGgz6VP5UfDp/as6AT61bDo+eLiQOTVUTsqllUDRtIGuxNdjV2R5v2Hp9TauXzbZo5cULF2Ll0D/EhYFXR/z/7N19fFP3fff/tyxkQAInxsZgx4EgA0pMCA5uQnY1JU5Ks8DaJm3NWli7NO1v17WtpRdsa9m6tkvXtcvWXldYu3bZ1vVqemOycbP0DromTWkbOpLUqZ0QJyqxIdSxuTGQAJKDjOzfH0aObOvu3OnI0uv5ePThYuuc85V0dE5w3nl/po3++sjOYNqKKy5TNBYfCwTmGjIz2oy5pSWorWuWaNPqoB7Yf1gPpRmjnM0bF1XqxoWV+th3u2wNlWUa02olSGtFpvbIhurA2Ot5OCk0tqiAQ2P5GBvt1rhdu4LQTgbCAQAAAAAAkF+EAQEAAAAAU8pUGVdpdyOe1WBQqoCP3SOMU7Eaksl1e6eColZf93etqFVDdUAH+89mbNlyur0slUzNi4G/+6z8//B/FP3ff6rIX/6V7cG0T+55YVLQKFvIzErT5hMvndF2C6OY9x8+o/2Hz5jePp1MY1qtBGntkKk90n/pvek5FdH5S21yyed3oTXM5XrfMMvNcbtWg9BOB8IBAAAAAACQX4QBAQAAAAAFF9zIZiqMq7S7Ec+uYFAi4JP4/2a2Tfe6pjqPrIZkjGzvRFDU6uu+q7N/rLUrU8tWQ3VAy+tm65m+c6aPZVTa5sXhYU1/6NuSpOkPfVuRv/ikI8G0iUGju5bXjjt/JrbNmW3a/LcDL+nR8ICta7dDqjGtydxqm0tI1x6ZqUXujcFKSR7t7zldcA1zme4bM31lGoqP6OKw8ahgtvfRaVaC0PkIhAMAAAAAACC/CAMCAAAAQAmbyqMBC31cpV2NeImAXftvXrVjWWMBn5FL/9/MtrmGg6ZPK9OqhZWa7vXoQjw/IRu7g6J2BrIytWxFY3G9eDJq27Fyler5TXvqSXmPH5MkeY8f07RfPqXIvKWOrSERNPrHnx3WUFIYK/k6VFsxw3Qz4WO/Hshr42Kukse0puL15HExaXzn4LFx7ZHZWuQeSRO6LJSGuUz3jS/+rMfyuF23mAlCW2naLNR/LgAAAAAAAABhQAAAAAAoWcUyGtBf7p3cbFYArDbivRKN6b5HD00K2NnhB88dH02FmDBxtGym8+jCxWH9rPuU6XWaDdnYGRR1YvxnqpYtt0bCnokOTfre9O9/Z9KfA3/0546vZWhCK1vydejdK+tMvz4mcqiOSx7TOlEiXLun63h+F5XCUHxED+w/rD+5dXHOLXKZFErDXKr7htVxu24zGoQ227SZKhAOAAAAAACAwkEYEAAAAABKEKMBnResCsjv85oKMPnKPPrEnrBjbWaDF4dNb5s8WtaOcFA6HklvXTZfB/vPmh5fbUdQ1Mr7mE1yy5ZbI2E/secFnYrGXh/Re+Gi1nz34XGPmf6D7yr4l3+t6dPKdMHCuWPWiKSHnu7L+3GdlBjTOlGmcK1btj/dp5X1lxtukcukEBvmrIzbLRS5BqGjsbjpps2JgfBSlGjsNXtvAgAAAAAAcBJhQAAAAAAoMYwGzA9/+eiIUzNjJyc2pBWaSCxu6jwyYnndbP3xjmdcH1/df/Y1za+Yrp5T9o/wHZH0L794SX91R8iRBsJc3b+vR//488Maio/ouv5f6639L4/7ufc3R1Xx/DO68vIZenEg/6OMi0nymNaJnAzXWvVP+4/YGlAckfS3jxzSVzc02bhXa6KxuK6rq9A7r5uv3c8cy/jYTO9jIcgWhLbSRJocCC81idbOiY29btybAAAAAAAA0iEMCAAAAAAlhtGA+WNm7ORUECj3mjqPjHim79yk7+V7fHU+WtoeOzSg/z58WrdfU6MZ08r0mgvNe9LoOFhJWhv+RcqfR/9jp16suiOfSyoq08o8unVJlT5408KUYSGnw7VWORGG7ew7q68/cVTvX7XA9n0bkS7gNa1sdJb6xaRwdqpxu5m43SCX7vhWm0jdajJ1U6b7Qb7vTQAAAAAAAJkQBgQAAACAEsJowPwyM3YyH2ZOK5M80uCQ8eCZ3+fVvNkzTJ9HdsjH+Op8trQNXhzWd57N3ESWFyMjuuPX+1P/7DsPS/f8tuTx5HdNReLi8IgeDQ/o2tqKlCEyp8O1herLjx/Rmxqq8tKmlioY9/Cz/WkDXokQoEfSO6+r1duunTdp3G46bjfIZTv+9VdYa/Vzs8nUDbneD/JxbwIAAAAAAMiGMCAAAAAAlBBGA+ZfIhCQS8Ocz+sZa2hz0u8sm6cRydQI43WNNTp27jXT55GdnBpfXegtbU65+uQRLTqT+py44mSvQgMvKTz3qvwuqoikCwpZCWkXA6dbZ9MF43K93o5I2vVMvxbMmZnT/c/tBrlcj+8r85gaSe/3ebWoqnRG4Zq5Hzh1bwIAAAAAAMhFmdsLAAAAAAA4LxqL62D/WbX/5lVL+ynF0YB22Nhcr+13N6t1Re1oK1+SmdPK1LqiVp9Zd3VegoAeSa1NdVrfVCejHW+JbQvlPEiMr7Zbqba0pRsR/PrP07QGwpBt+3rUPRAZ+7OVkHYx2NN1QlGHrilt7b3a8GC7dnX2T3qNjV5vJ75v6Y53fw7B70QwtK2919AasjFyfDNBQGk0EF5KDcFm7gdO3ZsAAAAAAAByQTMgAAAAABSxdI1IZpXaaEC7jUiamMAblnQqGtPZ14bysobNLcGxtiKjI4wT2w4WUHDJ7vHVxdTS5o8N6q6ufbrstfM5Pf4dzz2W8efvPPiYLkwrz2lfr86YpYcbWxQtn5nT443weqQ85GYdkwgKJdrwCiVc6xanWmftHvU98X2byO0GuXw0miYC4aXCyv3A7nsTAAAAAABArggDAgAAAECRyjQq0IxSGw1op0zvxYWLw/rJoVP6yaFTjq7BI00aS5nrCOOJ2warAvL7vAXRZhYdiuv5Y2fVvKDSlv39vHugIJ6XHTZ0/pc++dhXbdvfglePa+tPH8z58TOHLujfbrjLtuNL0oxpZXrt4rCt+8wmcf5LuY37zkVyUMjOkLXf59X8iunqORW1bZ+SFKzy277PZHYHIp0KxmUKeFlpkLNjTHI+Gk2Tw+SlwEprp1MhVwAAAAAAgGwYEwwAAAAARSjXUYFGlNpoQLs48V4Y4fd51bqiVtvvbh4XBExIHmHs93lz2tZf7tXaxhrH156rD+86qPsePZR1hGc2be29+uSesE2rct+PG27Q8VlzXDn28Vlz9OOGG2zf78orL7N9n5lMK/Po/228Xhub6zN+VoxKBIWk18O1VqxumKOvb2zS3j+8SZ976zWGR4Bn4pH0R2+8ytZ9TmR366xTwbjk923c9y02yFkdk2zl+D5v9nfWI2nLhDB5KbAaUi311k8AAAAAAOAOmgEBAAAAoMg40YhUaqMB7ZKPsY2ZTPeWadcHblD1rMyjXRuqA9q6Zok2rQ7q8KmIIrG4AuWjTZDpAqDrm+q0u7PftZBjsovDI9rV2a/dnf2T2g9zEY3F9U/7D+uhp/scWqE7jsy5Qmvv+ZI+v2eb3tz9VN6O+2jDDfrous0647c/uPfkS2ds32cmdy2fr2W1s8f+nPxZ+f5zx/T5x7pN7zsRFEqEa3d19pve1y+PvqrPrHv987q8brae6Ttnen/JNrcE1bKk2vBY8VzZ3Trr9KjvVAEvtxvkrBx/KD6iv1l3tTpefnU0mJi0H7/Pq3WNNWptqiupRsAEqyFVu0OuAAAAAAAAuSAMCAAAAABFxolGpFIbDWiXfIxtzORCfFjHz72WNQyY4C/35hxIaagOOBYOMmtEGltPLoHA7oGIdnT06QfPHbdl9Kzf59U9q67UVx4/UhAhSUk67b9MH3zXp/T+9u/pL/Z9TdPjFzUi2dryltjfBe80fe7WD+rBlW+VPM70yOVzQnCmELS/3KvG+bNT/ixXyUGh9U11lsKAiUBZZ99Z20YZTxwPnutYcaPsbp21EozLRaqAl9sNcla3r/T7DAfCS0GitdPM+WR3yBUAAAAAACBXhAEBAAAAoIjY3Yg0MQyC3DndTpUrJ8cUJs6LQgoESqNhpVULKzMGWNvaex0JNb1/1QK9qaFKOzv69IOu4xocymN6LR2PR19/w9v15JXX6kvf/Xs1nO61d/eSXpxTr4+8/WPqmhe0dd9uyhaCfnVwSGWSzL7DTx19RYuqAuq5FL5qWVylfS+eMrk36XvPHTcUKFxaE9DCypna33NmUhvc7aFqNS+oVKXfp4P9Z0dDUeVebWyu16qFldrZ0TepRc4MJ1pnnbzmpQt4ud0gZ9f2RgLhpcBKa6fdIVcAAAAAAIBcEQYEAAAAgCJiVyNSqY8GtIPT7VS5cnpM4aqFlfJIBdOEJ42uZWdHn7auWZLy523tvbYHGJNDTcmjZO/94Qv6ySHzAS87dc0L6q13b9Nf/fhf9J5nfmTbfrdfd7v++s3/U4PlM2zbp5uyhaD3HRrQfY8e0qnokKXjfPnxI/q3A0dtaaWUZDiwdOhERH+99mp94vbQWBvcK9GYnvzNq/rRCyf18MHjY4/1+0ZDUesv3RMS5/cD+w9ru4Xx2k60zjp5zUsX8HK7Qc7t4xez9U112t3Zb+ge50TIFQAAAAAAIFdlbi8AAAAAAGAfq41Im960SF/f2KS9f3iTtq5ZQhDQAifbqXKVj5CH26OQ09nTdULRFO9B90BE2xxoMkwVavKXe/W//sdVto7ktWqwfIb+fO1H9OG3f0xny/2SjAc5E48/Oz2gD719q/5i7UeKIgjoK/OodUWttt/dnDYI+GcPH9RHv9tlOQiYYFcQ0IwRSV/++WH1nIpoUVVALw5E9Ik9YX3n2WOTQmXRobh2dfYzevdAAAAgAElEQVRrw4PtamsfbZZ88qUzloKAtzTMcaR1NhGMs1u2sdFrG2tM7deOBjm3j1/MGqoD2txirPHUiZArAAAAAABArmgGBAAAAIAiYrURqfnKyxgRaBOnG/ly4XTIw65RyDOmlanushnqfWVQsbg90cLoUFyPhk9oXsUMBcq9Y2NOnQovrlpYmfL7iSBJoY1S/v41q9VRF9K/7vqMrjl5xNC2HknPz71Kf/CuT6r3snmOrG/RnJk6fHrQkX2nc3F4JGMb6p89fFA/7T6d1zU57ec9p/XzntPylXk0NJz9kzGi0bHgT//mFcuvxc+6T6t7IGJ7aMrKaNdMsgW83G6Qc/v4donG4mOjs5Ov3W5KhFazjZbP1ioKAAAAAACQD4QBAQAAAKCIMCqwcFh5L5LdtqRavzh82nCDmN0hj1QBDaujkD96W4N6XxnU9qf71HMqattaEz7zo0Nj/3/mtDLdfvVc/dcLJ20/jpR5LHGuQZJ8671sns7OmGVq21dnzHIsCCgp70FA6fXx0ptWByed60++dKbogoDJcgkCJrPjtcg2ztsKM8G4dHINeJkJ/trZIOf28a3qHohoR0ef9nadGHdfmTii2i0bm+u1amGldnb0jTbPTljjusaajGFiAAAAAACAfPGMjBTSr6Hdd/LkOV4QAEDBmDNn9F8knD4dcXklAICp5L5HD5lqRGpdUetIKMOqqXw/NPteJPh9Xu39w5skSQ/sP2xoJOcWm9qJMgU0Vl55mR7vMR8KeteKWtvbu9zi93m16wM36Ni519I2WnUPRLSzo08/eO64Bl0cD5tQHTmjJ//x91VmIjIV95Tpxg99Q6cClzuwMvdMK/PI5/VocOj198fv82pamUdnL1x0cWXFKXGNc6L5ra2911AwbmI7otmAV1t7ryMNcrneC506vpOm2pqjsbgOJwWGFxVAeyEAlIKp/PdCAADswv0QKB1z5872mN2WZkAAAAAAKDLFMiqwGFhtp0oe8/snty7W/IoZhgITVsctZgpoRIfiloKAkoomCCiNvh53ffVJXYiPD5ElN1o1VAe0dc0SvXnpXP3RjmdcXO2o2w8dMBUElCTvyLBuP3RA25vusHlV7ro4PKKLE1ryrLZ7Ir3o0Gioyonx9EYaOd+zsk5337BAx5PCvGYDXm43yLl9fKNyDW0mRlRLcj0Q6C/3OnLOAgAAAAAA2IFmwAloBgQAFBL+Cx8AgFlGG5HsapFzwlS/Hxp9LxI8krbf3TwpsJFol8sU8pBkedyi2XVjsomNVk+8dEYf3vmsu4uS9I1//6RWH/lVyp+NaHTdia+p/Oyq6/X77/6MQ6tDqfhy63LduLDSsf2nu2ZO5MQ4Wjsb5MzcCwu9wa57IKIND7Yb/o8XJt4brQbfAQBTw1T/eyEAAHbgfgiUDivNgIQBJyAMCAAoJPxDPQDAiqk2di+dYrgfmgnWZQtopgt52PG+mwloILvEe3qw/6zuaetwdS2XD57VL7/0Xk0bST+ueKjMK99w+vDUUJlXb/jwt/TqzNlOLBEl4usbm/LSshaNxfXA/sN66Om+KXlfLIZ74UT3PXrIVENs64pabV2zJOMYe7uDnQAA9xXjvRAAAKO4HwKlw0oY0HvvvffauJSpLxqN3ev2GgAASJg5s1ySNDg45PJKAABT0fK6Ct22tFqSdOT0oIaSRl/6fV7duXy+PnVHSLcsrnZriTlx+n4YjcUVPnFeh09H9crgkGZNnyaft8zWYyyvq9Cbl1br0MmIjp+7kPGxHuXW1Ojzlqlm9nRdcflM1cyeLp+3zFDo8MCRM3ptKK5VV01u5PqXX7ykruPnc9oPcvfEkTO6bWm1FlT69R+/6hv3mcy3tz3/M91x6EDan7etuEP3rL9XFRciWn68O+VjvCMj6q66Ul3zglmPd+OCy3XDlZfp6JnXXH3eKCx+n1cfXh20/Zqbyo6OPv3rfx/N6bEHjpzRrOleLa8rnFGwxfZ3w2gsrnv3hk1dD46cHpRH0p9/73l1HT8/aR9DwyN6/vh57ersV6DA3kcAgHnFdi8EAMAM7odA6QgEpn/a7LbT7FwIAAAAAKCwNFQHtHXNEm1aHSzoUYFuyHejUEN1QF/d0KTn+s/qG0/9Rvt7zuhC/PVWtuQxv2aO2z0Q0TaD7YPf/GWv5JE+svr1MFc0FtferhOGj4/sRiTt7OjT1jVLtLaxxlQjll3u+PUvxv05MQ741ekB/fkdm7T36pslSR+/Y5Mev+p63ffDL6niQmTS2OA7wvu1c/marMd78ugr8vu8Clb5dfDYOdueB6a2dY01ebkXmbk+btvXo1ULK2mWc0jPqUjGsc2ZRIfi+vLjR7I+bkQaC8gXWtMjAAAAAACAUwgDAgAAAEAJ8Jd78zKGcarINEo3OhTXrs5+7e7sd2RU5LLaCv3d25elHfNr1o6OzKMv0/nmU72qDpSPPU8rAQ1kt6frhDatDuqmhZWuhQFnXYjq5iO/Gvc9j6SnrmjU5rf9mV6+rGbcz/ZcfbM6a5fqH773eb3h5efH/exNR36lWReiOj/dn/W40aE4QUCM8UhqbarLy7HMXB+Tw7uwXySWv/sMwU4AAAAAAFBKnJ/BAQAAAABAAUmM0s0WDEk0CrW19zqyjkRA88aFlVpWW2EpCGi1ze/+fT3qHohIyl9AY1qZJ/uDilB0aDQE+s1f/sa1NdzW/aSmxy+O/XlYHv3D/3iP3rPxbycFARNevqxG7954n774W+/WcFI34PT4Rd3W/ZTja0bx2dwSzEs4y8r1cU/XCUXzGForJYE8thMngp0AAAAAAAClgDAgAAAAAJSIaCyug/1n9cRLZ3Sw/2xJBhzMjopMBOUKlR1tfomgRD4CGh5Jty6pcvw4harr2Hk90+deQ94d4ddHBPfPqtLGDZ/V/W96r+Jlmd/7eJlX/3f1+7Rxw2d1bNacpP3td2ytKE7vuq42L2Nbo7G4HgmfsDSO9vCpwr7+T1XBqoD8vvwFAgl2AgAAAACAUsGYYAAAAAAoct0DEe3o6NPervGBCL/Pq7WNNVrfVOfq6LxoLK6epHG5QYvjcjMp1lGRdrT5ff+549q0OjgW0HByVPB7VtZpZf3leiQ84NgxCtmPD5lvcbSDb3i0FfBHS27Sx9Z+RK/MNDZC/MCC67T2ni/p7/d+UW958Ymx/aE03NIwRz/tPm1pH2+7dp5Nq0kt3X3PjHyOsy0l/vLRfwbJ17j0RLBzWa2x6x0AAAAAAMBUQxgQAAAAAIpYW3uvtqUZiRsdimtXZ792d/Zrc0swLy1NyfIdUozG4vrus8dMbbun64Q2rQ46FlK0yo42v9cuDo8FJZwOaNwcrNJjh0ozCDjTV6ZnXWwFlKQtb/0zLTr9sp6dv1jymBvXfMZ/mf7gnZ/Q8mMv6vCcK2xeYeEr93oUixuNFheHlVdermtrK/Tlx4+Y2t7v82pRlXMB9Ez3PTPyOc621KxvqtPuzn7b3qtsCHYCAAAAAIBSwJhgAAAAAChSbe29uj+HQMSIpPv39aitvTcfy5I0urYND7ZrV2f/pNamREhxw4Pttq7pn/Yf1tCwuchBoY+KtGvc4qloTNJoQMNcRCw3Xo9He7vcbcez6sYFl5va7reumuN6iOz8dL+erV1iOgg4xuPRs7VLdH66356FTREeSd9470otmzfL7aW4Ytu+Hr2poUpvCc01tf2Suc61v+Z638uV08HFUtdQHdDmlmDejkewEwAAAAAAlALCgAAAAABQhLoHItq2r8fQNtv29ah7wPnAm9GQ4tf2H7Z8zO6BiP796T5L+3CqUSgai+tg/1k98dIZHew/q6iJ4yTGLVr1anRIkrMBDb/PqxGNODqG2Gl+n1d/fPMiw4FJj6TfuqrSiSUhjza3BNVQHdBXfneFppXgb9YSo9M/eNMCU6Hhzr6zjoTPzdz3slnXWJMxuGjH9bvUbWyu15aWYNZzySPpQzdfZTr4TrATAAAAAACUCsYEAwAAAEAR2tHRZ7gZKRHw2LpmiRNLkmQurPG5PS/o5sXVqvaZT92YeT0msrtRyO4xyXaMW7zcXz72/xNjo+0ctymNhmseCU/tEcHrGmu0rHa2NrcEdb+B83lzS1CL5xJGmao80riR6v5yr+5cXuvoSO1ClRidbvQzkLBtX49WLay0dRS8Hdf5iVqb6lJ+P99j7ovdxuZ6rVpYqZ0dfdqT4jVd11ij1kuv6bFzF0x95rIFOwEAAAAAAIoFYUAAAAAAKDLRWNz0CNZEwMOpf2FuNqT47SeO6n/ffFXKn0djcfWciigSiytQ7h0dmZu0fiuvR8KMaWW2Ngq1tfemDdklxiTv7uwfFzzKpqE6oHevrNNDFhoQ5/h94/6cKaAxY1qZXrs4bGj/HkkzfV5985f5G0ltN49eDwjlGphMDpFFY3H5fd4p3YxYamZMK9Md19ToDVdepsv95TrYf3bsOrO+qa4kw4CJ0ekbm+v141+f1DN95wxtb3f4PBqL67vPHrNlX8meeOnMpFCfE9dvjN7Dtq5Zok2rgzqcdE9fNOGebib4nnzdBgAAAAAAKHaEAQEAAACgyPScipgOGiUCHstqK2xelbVQ3n/+6mX9wY1XjgsE5NrMZOX1SHjt4rAefrbflmBHYkxyNokxyZJyPu4fvXGRdnb06+KwuX6sp46+Mum9zxTQePjZfkOtYO+9oV7femrqBgGl10fEJhhptJJeH+lcigGyqWp+xXT96IWTejgpbJZ8nbmurkLP9J11cYXuiMTiisbievFk1NT2dobP/2n/YQ2ZvO5lMrHB0MnrN0b5y70Z/xkkMcbeaCsrTY0AAAAAAKBUEAYEAAAAgCITiVkLvlndPh0robxIbHxI0Ugzk10BADuCHWbGJBsZp+kv9+rWJVWmx/B+5fEjelNDVcpjpQpoGG3GO3pm0PYxnvl0be3slO9/ro1WCXaMdEb+HDk9OOl7ievMrs5++bwey8fwSPrjm6/S1544qsEhY42bbvF6PHokfMK28Hm2ltd0ugci+ncLjaiZJDcYOn39Ru7MtLICAAAAAACUCsKAAAAAAFBkAhZblqxun45dIUWjzUzvWWnfaECrwQ6zY5JzHafZ1t6rR00GAY0eKyHXZrzaihla+8AB02srBAf7z+lv/iusDc31aqgOpAwv5dKqaabZCoVrKG4+1pkYQVx/+Ux1vPyqYgZHb7tlWplHW/7zoAYtrjcSi+fc8pqOmeuqEYkGQ6ev3zDGaCsrAAAAAABAqfCMjPDfoSc7efIcLwgAoGDMmTP6Ly5On464vBIAwFQSjcW19oEDptqa/D6v9v7hTbaMbZzoYP9Z3dPWYXr7r29s0gyfVxsebDccyJgxrUyv2RSyaV1RayrY4fT7kmtI0o5jpRO91OCYqhnP6vtfaK6rq9CLJyOmwksJmRouURpW1FWo6/g5S4HCqWzDyjo99HTmkF2mdjcr11Ujtr55sbbt69GFuPH7iF33Vf5umF6mew8AoHhwLwQAgPshUErmzp1tehxJmZ0LAQAAAAC4z18+GkgyY11jjWP/Aj1YFZDfZ27fiX+5b7YBqu6yGaaOm8qerhOKmmg5tDImOTFOMx0z4yszHet7zx3Twf6zhp9nYpTwjQsrtay2Yty55NT4abc803d20vuZGB274cF2/Z+fvJj19dvYXK+/f3ujk8tEgevsO1uyQUBfmUfbswQBpddbXtvaeyf9zMp11Yi/+/GLpoKAUvbrN6zLdO8BAAAAAAAoNYQBAQAAAKAIrW+qk9H/bMwjqbXJvpG6E1kJKb7j+iskSXu7Tpjavu/V1wy/HumYDXZYDcMd7D+nJ146kzKkZ/eYzC881q172jq09oEDuu/RQ+oesB5kcWr8dCEakfTQ031a8+VfZH39Drx0Jn8LAwrI0LCxq9a2fT2TPktTJWQ8VdYJAAAAAACAqY8wIAAAAAAUoYbqgDa3BA1ts7klmNNoUyvMhhR/b9UCSw1Qr10c1ntW2hd0NBPssBqG+8JPuvXhnc9OCulFY3HTIclskpvuUrVyGRGsCmjGtNL6NcTQ8EjG18/J9w4oNiOSdnb0jfveVAkZT5V1AgAAAAAAYOorrd/CAwAAAEAJ2dhcry0twazhO4+kLS1BbWyud3xNZkKKH193tZbOm225WenmYFVOr0cuzAQ7rIxJnig5pPdP+w87PiYz05jOXPnLvfrta8w1Q0516V6/fI04BQqNz2vuSjxxTLud11Wn+H2jY+4BAAAAAACAfCAMCAAAAABFbGNzvbbf3azWFbWTAhN+n1etK2q1/e7mvAQBk9dkJKT4gTcukmS9WSlQ7h17Pe66dp7p/ZgNdlgZk5xOYhxtvqQa02nEhpVX2LiaqWfi68foUJSiO66Zq6G4ucHmE8e0O3Fdtdu6xhr5aQYEAAAAAABAnkxzewEAAAAAAGc1VAe0dc0SbVod1OFTEUVicQXKRwNtbgUUNjbXa9XCSu3s6BttekpqR/P7vFrXWKPWprpxY4sTDVBmmtSSA3wN1QH95W+HNOLx6DvPHjO8L7PBju6BiM6+dtHwdoUkMaZz65ol474fjcXVk3RuBdOcWw3VAb3vDfX65i+tjRyeqia+fq9EY+4uCHDBD58/aWn7iSHa9U112t3ZL3PxQmd5JLU22TeiHgAAAAAAAMiGMCAAAAAAlAh/uVfLaivcXsYYoyHFRAPUrs5+w8dKFeDbsPIKfffZY4YCJGaDHW3tvdq2r6cgwypG7ek6oU2rg/KXe9U9ENGOjj7tTRHoXNtYo/UTAp2S9JFbgjp6Jqqfdp/O99ILQuL1e/jZfm3b1+P2coApZ2JLbGL8/P0F+Hna3BKcdA0EAAAAAAAAnMSYYAAAAACAqxIhxRsXVmpZbUXG1r31TXVZxwtPlC7AlwiQGGEm2NHW3qv7iyQIKL0+prOtvVcbHmzXrs7+SW2N0aG4dnX2a8OD7Wprn9wC+IW7rtX7bsjfaOpsbmmYk7djRYfiemD/4aI6J4B8STem3ej4+Yfublbrilr5fYzvBQAAAAAAQHHx3nvvvW6voaBEo7F73V4DAAAJM2eWS5IGB4dcXgkAAO5Jvh/O8ZcrMN2rA0fO5Lz9lpagbllcnfJny+sqNGu6V09k2V8iQLKx2ViArXsgoo9+p8vQNlOB1+PR1574TU6PPXDkjGZN92p53fhWylULK/XmpdW6GB/W4VODio+4F4372JsXy1fmUfhEJC/He67/XF6OAxSbO5fP161L0l/Pb1s6+rMjpwc1NPz6NcXv8+rO5fP1qTtCumVxteb4y3VzsErvvv4KtSyu0ltCc9Vcf5l+ZnNj6RNHzui2paPHs4q/GwIASh33QgAAuB8CpSQQmP5ps9t6Rlz8ZXshOnnyHC8IAKBgzJkz2npx+nR+/sU0AACFKNX9MJexux6NNvnlEuDrHohoZ0ef9qQYd7uusUatKcbd5uK+Rw+ZGmtc6DyS4fHK2+9uTvsaRmOjbYPfe+64K6/X1zc2aYbPqw0PttPWN8X5vB5dM2+2nuk76/ZSYLOJ15FoLK6epBHzwaQR84lrSrbx88misbjWPnBgUtOpVa0rarV1zZKsj8v0fCT+bggAAPdCAAC4HwKlZO7c2UaHJI0hDDgBYUAAQCHhH+oBAEh/P3QiwGcmQJJpX04ES9w2rcyji8PG/+qcayAml6Cnnfw+r/b+4U3yl3vHRjojf2ZMK9NrF4fH/uz3efXGYKUeCQ9Y2q9H0vK62XrxZLToPoOlKtHO2j0Q0Y6OPu1Nce1f21ij9SbD25IzAe7ka0wquT4f/m4IACh13AsBAOB+CJQSwoA2IgwIACgk/EM9AADZ74d2BvjsdLD/rO5p63B7GbYr80gmsoCaVubRV9+zQstqK7I+tnsgon/+xRH95NApEys0ZmJIMd9hxFJ31/L5umv5/EmfX7uCmR+6+SrdsOByRWJxvXD8vL7088M2rHrqMRviLQTJLa92t8JO1D0QcaQh9Osbm1Je+4w8nw+/JSSJvxsCAEoXvycFAID7IVBKrIQBy+xcCAAAAAAA+eYv92pZbYVuXFipZbUVBREElKRIrDjbyMzmiS4Oj+j9bR1qa+/N+tgnXjqjfXkIAnoktTbVjfvexuZ6bb+7Wa0rauX3jT+X/D6v5vh9jq+rlPzohZNaVBWY9Pnd2FyvLS1Bmf6N1yVfefyIZvi8unFhpX7/xit1S8Mc64ueYjySbl1S5fYysvJ5x7/bfp9XrStqtf3u5rEg4P05BHVHJN2/ryena81EDdUBbW4JGt4um1T3A6PP52v7SzPICgAAAAAAAGOmub0AAAAAAACKUaBAQomFJtH2lq61K5+jeje3BFOOE22oDmjrmiXatDo41jrp9Xg0ePGi/vx7L5g+3p3XztN3Dh63suSiEx0abfZM1Zq2sbleqxZWamdHn37QdVyDQ8Mp9pDZiKSdHX1j7Y9fuOta/dnDB/XT7tNWlz5lbG4JatXCSj0aHrC98W7Dyjq9YcHl+svvvzBu3LMZQ/ERbVhZp5uDVWMtkZLUcyqih5/p1zaD14Vt+3q0amGl4ZHBiWuTnQ2hE+8H3QMRw8/nc3te0M2Lq1Xt47/tBgAAAAAAQHr89ggAAAAAAAcEqwKTmuVyNa3MWB/alpagLS1qmQSr/Lbta9u+HnUPTB5nYiYgY9aHbr4q6xhRf7lXM3xePXZoQH/y8HPa8p9dumAh8PTDF04afm9LwcH+c4qmadJMBDN3f+BGzZhm7tdYe7pOjNv/F+66Vp9/e6MabDyn821ii14qHo1eGzY219veeJfY95/culirG6r1O8vm2bLfh57uU1WgXDN8Xn3xZz1a+8AB3dPWoc8+cshwMC8RBDUjU0OoUX7f68HGhB0dfaaez7efOGppLQAAAAAAACh+3nvvvdftNRSUaDR2r9trAAAgYebMcknS4OCQyysBAMA9U/V+6POW6fi5C3r++HnD2+Y6ijc57LO8rkK3La2WJB05PaihpJ34fV69qaFKh09HDa8lYXAorotmZwSncXNw/OjSf/nFS+oy8XoZdXtorv70tsVZH9fW3quPfqdLXcfPj3s9zYoPj5ges1zMfnHkjP7jV306fu6CaitmaI6/fNJjek5FtKuz39T+h4ZH1LK4SjWzp49976oqv1qb6vTO62p18vxr6j5l/rPhhjVL5ypY7dfRM4OTzqlpZR6tWTpXn33rNbplcfXY95fXVWjWdK+eOHIm4749kt53Q72Wzg2kvJbcuXy+PnVHaNy+aytmmH5/Jvr1yfP6yuNHbPncHTk9qHdff4V8XuNB0jn+ct0crNK7r79CLYurdCoS09Ezg4b3c+fy+bp1yeuvVTQW1717w6aeW/fJ8/pdk88HAICpbqr+vRAAADtxPwRKRyAw/dNmt2VMMAAAAAAADlnfVKfdnf22j+ZMeO8N9ePa7VKNt00et3ngyBlFh1I3sGUy3VtmeQToRHu6TmjT6qD8l8ZnRmNx7e06YesxUvFotPXrYP/ZsdcnWBUYW0dCPscVY3Rc8K7Ofu3u7NfmSwHXZJE0zYG5Srd99axyffatjVpW25t1LKxHo4G6Z/rOWlqLHX4UPpn2ZxeHR/RI+KSW1c6eNCI3efTynq4T464Hfp9X6xpr1NpUN7bdxFHZIxpRfGQ0HByNxcc+N4nmQTs+M8/0nbO8j4RMY6hTPj4WV0/StTNxbVhWW6EPvWmRHu85beh67pHU2lQ37ns9pyKmrsPS6Hls5PkAAAAAAACg9BAGBAAAAADAIQ3VAb33DfX65i97Hdn/t57q1e80zpsU+EmEVyZa21hjqr3rxoWX6+c9p02vM5WJIR0rARkjltfN1h/veGZSCGptY43WXwpB5XNcMcYbkcYCZcmBwEC5tVGt2bbPNSQnSRsebHcs4GuXdK+jlDk0PDEUmxiV/b3njmtvitcl+XOTOE62UGW+5RIk7R6IaEdHX9bnaDTwuLklOOn67FSwFQAAAAAAAJAIAwIAAAAA4CgnA24jknZ29GnrmiU5Pd5MU6FH0u1X19geBpTGh1qsBlw8Uk7PK1Xr2MRWuqNnBgsqzJTKojl+9b4yaMv44kK0bV+PVi2sHAtSBasC8vu8pj5Pft/r7ZiZ5BqSs6sBLx8mvo7J0oWGk7W1p29MTNXmmAhVfvnxw/p5t/3XDDOyBUGNPkcpe+DRI6VsuMxlPdlY3R4AAAAAAADFrcztBQAAAAAAUKzyMfp2T9cJRXMM0iWarYzY3BLU6oYq+X32B1CSQy1WAy5/sy6k1hW1k9bp93m1oi63kZqJNrXvHjxmaS358Fd3LNUX37Xc7WU4JhF0TfCXjza0mbGusWZS410miZDcjQsrtay2YtK2G5vrtaUlKI+p1eTXxNfRiMSo7Gxx08Tnpq19tAG1oTqgD6xaYOqYdssWBDXzHDc212v73c1przetK2q1/e7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      "text/plain": [
       "<Figure size 3200x1600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(20,10), dpi=160)\n",
    "plt.scatter(c2['x0'],c2['x1'])\n",
    "for index, point in enumerate(cluster_points):\n",
    "    if index is not 0: # these points are generated\n",
    "        plt.scatter(point[0],point[1], marker='*', c='red', s=200)\n",
    "    if index is 0: # this is our ifrst point, which was picked staticly\n",
    "        plt.scatter(point[0],point[1], marker='*', c='orange', s=200)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "_cell_guid": "49da75a4-b79a-4615-9f4b-6a8b6614c9e8",
    "_uuid": "f37aa07441e96947ed5e5ba452b42b2f9f078d86"
   },
   "outputs": [],
   "source": [
    "trials = 1000\n",
    "cost = np.zeros(trials)\n",
    "for _ in range(trials):\n",
    "    cluster_points = init_kmeans_plus_plus(data_set, 3)\n",
    "    cluster_distance = np.full(len(data_set), np.inf)\n",
    "    for point_idx, point in enumerate(data_set):\n",
    "        for cluster_idx, cluster_point in enumerate(cluster_points):\n",
    "            if cluster_distance[point_idx] is math.inf:\n",
    "                cluster_distance[point_idx] = distance.euclidean(point,cluster_point)\n",
    "                continue\n",
    "            if distance.euclidean(point,cluster_point) < cluster_distance[point_idx]:\n",
    "                cluster_distance[point_idx] = distance.euclidean(point,cluster_point)\n",
    "    cost[_] = (math.sqrt(np.sum(cluster_distance**2, axis=0) /len(data_set)))\n",
    "#print('3-means costs for  trials= ', trials,' is cost= ', cost)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "_cell_guid": "d25bbfd5-cc4f-45f5-b6a8-774d2c039d05",
    "_uuid": "442271896a35e1f5ae2aeb75bda7c0376430102b"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Close 3-means compared to Gonzalez: 57\n"
     ]
    }
   ],
   "source": [
    "y = []\n",
    "i=0\n",
    "totalFrac = 1/trials\n",
    "cost = sorted(cost)\n",
    "for z in range(len(cost)):\n",
    "    y.append(cost.index(cost[z])*totalFrac)\n",
    "    if math.fabs(cost[z] - 3.699) < 0.1:\n",
    "        i = i +1\n",
    "print('Close 3-means compared to Gonzalez:',i)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "_cell_guid": "f78bd75f-158a-42cd-a7b8-d95a05c31ec4",
    "_uuid": "74902b798a4d3a13fbef0d5f5877323069fdc599"
   },
   "outputs": [
    {
     "data": {
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      "text/plain": [
       "<Figure size 3200x1600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(20,10), dpi=160)\n",
    "plt.title(\"cdf of 3-means cost associated with k-means++ algorithm\")\n",
    "plt.xlabel(\"cost\")\n",
    "plt.ylabel(\"fraction of success\")\n",
    "plt.xlim([np.min(cost),np.max(cost)])\n",
    "plt.ylim([0.00,1.05])\n",
    "plt.plot(np.array(cost), np.array(y))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "_cell_guid": "dff390f9-7f13-423b-a45a-c9e26669c170",
    "_uuid": "5d874e0839a255e3e60e73ce3a4a3536c890cd08",
    "collapsed": true
   },
   "source": [
    "Breakdown of the CDF: there's approximately only two kinds of outputs the CDF will produce. And they are plotted below. The centeroids on the left plot is falls in the first rapid growth stage of the CDF (`cost: 1 - 1.5`), followed by the second rapid growth stage of the CDF (`cost:3.3 - 4.3`) involves the plot on the right. As K-means++ only picks centeroids amongst points in the dataset, there's really no way to get that `cost:1.5 - 3.1` range."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from matplotlib import pyplot\n",
    "pyplot.figure()\n",
    "\n",
    "# sp1\n",
    "cluster_points = init_kmeans_plus_plus(data_set, 3)\n",
    "pyplot.subplot(121)\n",
    "pyplot.scatter(c2['x0'],c2['x1'])\n",
    "for index, point in enumerate(cluster_points):\n",
    "    if index is not 0: # these points are generated\n",
    "        pyplot.scatter(point[0],point[1], marker='*', c='red', s=200)\n",
    "    if index is 0: # this is our ifrst point, which was picked staticly\n",
    "        pyplot.scatter(point[0],point[1], marker='*', c='orange', s=200)\n",
    "\n",
    "# sp2\n",
    "cluster_points = init_kmeans_plus_plus(data_set, 3)\n",
    "pyplot.subplot(122)\n",
    "pyplot.scatter(c2['x0'],c2['x1'])\n",
    "for index, point in enumerate(cluster_points):\n",
    "    if index is not 0: # these points are generated\n",
    "        pyplot.scatter(point[0],point[1], marker='*', c='red', s=200)\n",
    "    if index is 0: # this is our ifrst point, which was picked staticly\n",
    "        pyplot.scatter(point[0],point[1], marker='*', c='orange', s=200)\n",
    "\n",
    "pyplot.show()"
   ]
  }
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