quickselect4.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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UCV5SveK2ufbaazn22B+waNG1bZnf2msfyKJFP6F9R7Jq47xW9vm1f9k6uW1Y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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x5d64470>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "('n', 10)\n",
      "('runs', 10000)\n",
      "('mean', 17.1779)\n",
      "('stdev', 5.949621113074254)\n",
      "('min', 9)\n",
      "('max', 42)\n",
      "------------------------------\n"
     ]
    },
    {
     "data": {
      "image/png": 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XzdDZ7Aw0UGezM9Bgnc3OQIN1NjsDDdXZ2dnsLAxqLRNMgKnAkoh4LCJWA9cA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\nzMxKczAxM7PSHEzMzKy0/w+QTyhOjVkWQAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x8bd64b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "('n', 20)\n",
      "('runs', 10000)\n",
      "('mean', 42.7789)\n",
      "('stdev', 15.394587169567496)\n",
      "('min', 19)\n",
      "('max', 112)\n",
      "------------------------------\n"
     ]
    },
    {
     "data": {
      "image/png": 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pw5L+IOlRSae1Oh4zM0vaJplIGgT8N3AA8F7gKEk7tDaqenW2OoAqOlsdQBWd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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x3397c10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "('n', 30)\n",
      "('runs', 10000)\n",
      "('mean', 69.9218)\n",
      "('stdev', 25.139265761519425)\n",
      "('min', 29)\n",
      "('max', 186)\n",
      "------------------------------\n"
     ]
    },
    {
     "data": {
      "image/png": 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19CwduOo0qLu7u9VF2Ki1TTABJgOLI2JpRKwCLgeOaHGZWqC71QVoou5WF6DJ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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x5fde9f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "('n', 40)\n",
      "('runs', 10000)\n",
      "('mean', 97.1219)\n",
      "('stdev', 34.60965216803427)\n",
      "('min', 39)\n",
      "('max', 262)\n",
      "------------------------------\n"
     ]
    },
    {
     "data": {
      "image/png": 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mNgi1LZlExOP5/5OSriZ1W/VIGhcRPZLGA0/k0ZcBWxUmn5jLapoxY8brw11d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\nSUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x62df690>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "('n', 50)\n",
      "('runs', 10000)\n",
      "('mean', 126.4045)\n",
      "('stdev', 44.841674336778865)\n",
      "('min', 49)\n",
      "('max', 344)\n",
      "------------------------------\n"
     ]
    },
    {
     "data": {
      "image/png": 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gDwGbFUafkMsamjZt2uvdPT099PT0DG/wZmZdrre3l97e3mGbniJG/uBf0prA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\nHgRyAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x625de50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "('n', 60)\n",
      "('runs', 10000)\n",
      "('mean', 155.455)\n",
      "('stdev', 55.02869606613511)\n",
      "('min', 59)\n",
      "('max', 444)\n",
      "------------------------------\n"
     ]
    },
    {
     "data": {
      "image/png": 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mKMblmFrjmLqno9+Ar4KkWN2WqZPSLaiq2kur5FqtmZUniRjiN+DNzGw152RiZmalOZmY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\nAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x82370b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "('n', 70)\n",
      "('runs', 10000)\n",
      "('mean', 183.7119)\n",
      "('stdev', 65.51634862829093)\n",
      "('min', 69)\n",
      "('max', 485)\n",
      "------------------------------\n"
     ]
    },
    {
     "data": {
      "image/png": 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8na2pT8C3g6QYafNkZtZskojhegHezMxGBycTMzMrzcnEzMxKczIxM7PSnEzMzKw0JxMz\nMyvNycTMzEpzMjEzs9KcTGzQurq2R1LT/7q6tm/3rJpZP/wEvA1aeoFzK5a1huStpmZWn5+ANzOz\ntnMyMTOz0pxMzMysNCcTMzMrrWXfgLfW6Orant7e+9sdhpmNMr6ba4Rp3R1WAL6by2yk8N1cZmbW\ndk4mZmZWmpOJmZmV5mRiZmalOZmYmVlpTiZmZlaak4mZmZXmZGJmZqU5mZiZWWlOJmZmVlpTk4mk\nqZKuk3SXpDsl/UMunyVpuaRb89/bCsPMlLRE0mJJBxXKp0taJOleSd9oZtxmZjYwTX03l6QuoCsi\nbpe0CXALcDjwXuDJiDizqv9pwFxgb2AqcC2wc0SEpJuBT0TEQknzgG9GxNU1pul3c/ndXGY2QMP6\n3VwRsTIibs/NTwGLgSm5c62gDwcujIg1EbEUWALMyElpUkQszP2dD7yjmbGbmVnjWnbNRNL2wF7A\nzbnoE5Jul/RdSZvmsinAssJgK3LZFGB5oXw565KSmZm1WUuSST7FdQlwUq6hnAXsGBF7ASuBr7Ui\nDjMza46mfxxL0lhSIrkgIi4HiIiHC738N3Blbl4BbFPoNjWX1Suvafbs2S82d3d3093dPej4zcxG\nop6eHnp6eoZsfE3/OJak84FHIuJThbKuiFiZmz8J7B0RR0vaDfgB8HrSaaxrWHcB/ibgRGAh8DPg\nWxFxVY3p+QK8L8Cb2QCVvQDf1JqJpH2B9wF3SrqNtOc5FTha0l7AWmAp8FGAiLhb0kXA3cBq4OOF\nzHACcB4wAZhXK5GYmVl7+LO9I4xrJmY2GMP61mAzMxsdnEzMzKw0JxMzMyvNycTMzEpzMjEzs9Kc\nTMzMrDQnEzMzK83JxMzMSnMyMTOz0pxMzMysNCcTMzMrzcnEzMxKczIxM7PSnEzMzKw0JxMzMyvN\nycTMzEpzMjEzs9KcTMzMrDQnEzMzK83JxMzMSnMyMTOz0pxMzMysNCcTMzMrzcnEzMxKczIxM7PS\nnEzMzKw0JxMzMyvNycTMzEpzMjEzs9KamkwkTZV0naS7JN0p6cRcvrmk+ZLukXS1pE0Lw8yUtETS\nYkkHFcqnS1ok6V5J32hm3GZmNjDNrpmsAT4VEbsDbwBOkLQrcApwbUS8GrgOmAkgaTfgCGAacAhw\nliTlcZ0NHBcRuwC7SDq4ybGbmVmDmppMImJlRNyem58CFgNTgcOBObm3OcA7cvNhwIURsSYilgJL\ngBmSuoBJEbEw93d+YRgzM2uzll0zkbQ9sBdwEzA5InohJRxg69zbFGBZYbAVuWwKsLxQvjyXmZnZ\nMDC2FRORtAlwCXBSRDwlKap6qW4vZfbs2S82d3d3093dPZSjNzPreD09PfT09AzZ+BQxpPvxl05A\nGgv8FPh5RHwzly0GuiOiN5/Cuj4ipkk6BYiI+HLu7ypgFnB/pZ9cfiSwf0R8rMb0otnzNJylS0yt\nmv9WTUuM5t/UrBUkERHqv8/aWnGa63vA3ZVEkl0BfDA3HwtcXig/UtJ4STsAOwEL8qmwJyTNyBfk\njykMY2ZmbdbUmomkfYEbgDtJh7ABnAosAC4CtiHVOo6IiMfzMDOB44DVpNNi83P564DzgAnAvIg4\nqc40XTNxzcTMBqhszaTpp7lazcnEycTMBq4TTnOZmdkI52RiZmalOZmYmVlpTiZmZlaak4mZmZXm\nZGJmZqU5mZiZWWlOJmZmVlpDyUTSHs0OxMzMOlejNZOzJC2Q9PHiVxHNzMygwWQSEW8C3kd6l9Yt\nkuZKemtTIzMzs44xoHdzSdqA9IXDbwGrSC9nOjUiftKc8AbO7+byu7nMbOBa8m4uSXtK+jrps7sH\nAIfmb4scAHx9sBM3a8yGSGrJX1fX9u2eWbOO1FDNRNIvge8Cl0TEs1XdPhARFzQpvgFzzWRk1kxa\nOU+jef2x0aslr6DPn919NiJeyO1jgAkR8cxgJ9wsTiZOJmWnNZrXHxu9WvUK+muBjQrtE3OZmZlZ\nw8lkQkQ8VWnJzRObE5KZmXWaRpPJ05KmV1ryJ3Sf7aN/MzMbRcY22N8/AhdLeoB0ArsLeG/TojIz\ns47S8HMmksYBr86t90TE6qZFVYIvwPsCfNlpjeb1x0avltzNlSf0RmB7CrWZiDh/sBNuFicTJ5Oy\n0xrN64+NXmWTSUOnuSRdALwKuB14IRcHMOySiZmZtV6j10z+EthtVB/ym5lZXY3ezfV/pIvuZmZm\nL9FozWRL4G5JC4DnKoURcVhTojIzs47SaDKZ3cwgzMyssw3kbq7tgJ0j4lpJE4ENIuLJpkY3CL6b\ny3dzlZ3WaF5/bPRq1SvojwcuAb6Ti6YAlw12omZmNrI0egH+BGBf0gexiIglwNb9DSTpHEm9khYV\nymZJWi7p1vz3tkK3mZKWSFos6aBC+XRJiyTdK+kbjc6cmZm1RqPJ5LmIeL7SImksjZ13OBc4uEb5\nmRExPf9dlcc5DTgCmAYcQvrufKXKdTZwXETsAuwiqdY4zcysTRpNJr+UdCqwUf72+8XAlf0NFBE3\nAo/V6FTrvNzhwIURsSYilgJLgBmSuoBJEbEw93c+6dPBZmY2TDSaTE4BHgbuBD4KzAP+pcR0PyHp\ndknflbRpLpsCLCv0syKXTQGWF8qX5zIzMxsmGro1OCLWAv+d/8o6C/hcRISkLwBfAz4yBON90ezZ\ns19s7u7upru7eyhHb2bW8Xp6eujp6Rmy8TX62d77qHGNJCJ2bGDY7YArI2LPvrpJOiWNMr6cu10F\nzALuB66PiGm5/Ehg/4j4WJ3p+dZg3xpcalqjef2x0aslL3okvZurYgLwHmCLBocVhWskkroiYmVu\nfRfpVS0AVwA/kPR10mmsnYAFuQbzhKQZwELgGOBbDU7bzMxaoOGHFl8yoHRLRLyun37mAt3Ay4Fe\nUk3jLcBewFpgKfDRiOjN/c8EjgNWAydFxPxc/jrgPFIimxcRJ/UxTddMXDMpNa3RvP7Y6NWqV9BP\nL7SOIdVU+h02Io6uUXxuH/2fDpxeo/wWYI/+Ix2e5s6dy7Jly/rv0cysQzV6zeT6QusaUo3iqxFx\nT5PiGrThVjNZs2YN48aNY4MNPtv0aa1dexMRN+CaSblpDaf1x6xVWvalxU4xHJPJ+PETiFjTgqmd\nAczEyaTctIbT+mPWKq06zfWpvrpHxJmDDcDMzDrfQO7m2pt0xxXAocAC0lPqZmY2yjWaTKYC0yuv\nnJc0G/hZRLy/WYGZmVnnaPR1KpOB5wvtz+cyMzOzhmsm5wMLJF2a298BzGlOSGZm1mkafTfXFyX9\nHHhTLvpQRNzWvLDMzKyTNHqaC2AisCoivgksl7RDk2IyM7MO0+hne2cBJ5MeYgAYB3y/WUGZmVln\nabRm8k7gMOBpgIh4AJjUrKDMzKyzNJpMns+PlQeApI2bF5KZmXWaRpPJRZK+A2wm6XjgWobmQ1lm\nZjYCNHo311fzt99XAa8G/i0irmlqZGZm1jH6TSaSNgCujYi3AE4gZmb2Ev2e5oqIF4C1kjZtQTxm\nZtaBGn0C/ingTknXkO/oAoiIE5sSlZmZdZRGk8lP8p+ZmdlL9JlMJG0bEX+MCL+Hy8zM6urvmsll\nlQZJP25yLGZm1qH6SybFTzju2MxAzMysc/WXTKJOs5mZ2Yv6uwD/GkmrSDWUjXIzuT0i4mVNjc7M\nzDpCn8kkIjZoVSBmZta5BvI9EzMzs5qcTMzMrDQnEzMzK83JxMzMSmtqMpF0jqReSYsKZZtLmi/p\nHklXF18gKWmmpCWSFks6qFA+XdIiSfdK+kYzYzYzs4Frds3kXODgqrJTSK+0fzVwHfm78pJ2A44A\npgGHAGdJqjw0eTZwXETsAuwiqXqcZmbWRk1NJhFxI/BYVfHhQOVdX3OAd+Tmw4ALI2JNRCwFlgAz\nJHUBkyJiYe7v/MIwZmY2DLTjmsnWEdELEBErga1z+RRgWaG/FblsCrC8UL48l5mZ2TDR6Cvom2nI\nX9Mye/bsF5u7u7vp7u4e6kmYmXW0np4eenp6hmx87UgmvZImR0RvPoX1UC5fAWxT6G9qLqtXXlcx\nmZiZ2UtVH2ifdtpppcbXitNcYv23D18BfDA3HwtcXig/UtJ4STsAOwEL8qmwJyTNyBfkjykMY2Zm\nw0BTayaS5gLdwMsl/RGYBZwBXCzpw8D9pDu4iIi7JV0E3A2sBj4eEZVTYCcA5wETgHkRcVUz4zYz\ns4HRuv31yCAphtM8rVmzhvHjJxCxpgVTO4N0p3Wr5l8tmlarppOmNZzWH7NWkUREqP8+a/MT8GZm\nVpqTiZmZleZkYmZmpTmZmJlZaU4mZmZWmpOJmZmV5mRiZmalOZmYrWdDJDX9r6tr+3bPqNmQGg4v\nejQbRp6jFQ9I9vYO+tkws2HJNRMzMyvNycTMzEpzMjEzs9KcTMzMrDQnEzMzK83JxMzMSnMyMTOz\n0pxMzMysNCcTMzMrzcnEzMxKczIxM7PSnEzMzKw0JxMzMyvNycTMzEpzMjEzs9KcTMzMrDQnEzMz\nK83JxMzMSnMyMTOz0tqWTCQtlXSHpNskLchlm0uaL+keSVdL2rTQ/0xJSyQtlnRQu+I2M7OXamfN\nZC3QHRGvjYgZuewU4NqIeDVwHTATQNJuwBHANOAQ4CxJakPMZmZWQzuTiWpM/3BgTm6eA7wjNx8G\nXBgRayJiKbAEmIGZmQ0L7UwmAVwjaaGkj+SyyRHRCxARK4Gtc/kUYFlh2BW5zMzMhoGxbZz2vhHx\noKStgPmS7iElmKLqdjMzG4balkwi4sH8/2FJl5FOW/VKmhwRvZK6gIdy7yuAbQqDT81lNc2ePfvF\n5u7ubrq7u4c2eDOzDtfT00NPT8+QjU8RrT/4lzQRGBMRT0naGJgPnAYcCDwaEV+WdDKweUScki/A\n/wB4Pen01jXAzlEjeEm1ittmzZo1jB8/gYg1LZjaGaR7Flo1/2rRtFo1nVZOSwyn9dRMEhEx6Bub\n2lUzmQxcKilyDD+IiPmSfgNcJOnDwP2kO7iIiLslXQTcDawGPj6sMoaZ2SjXlppJM7lm4ppJZ0zL\nNRMbXsrWTPwEvJmZleZkYmZmpTmZmJlZaU4mZmZWmpOJmZmV5mRiZmalOZmYmVlpTiZmZlaak4mZ\nmZXmZGJmZqU5mZiZWWlOJmZtsSGSWvLX1bV9u2fWRoF2fhzLbBR7jla9vLK3d9Dv7jNrmGsmZmZW\nmpOJmZmV5mRiZmalOZmYmVlpTiZmZlaak4mZmZXmZGJmZqU5mZiZWWlOJmZmVpqTiZmZleZkYmZm\npTmZmJlZaU4mZmZWmpOJ2YjXmtfd+1X3o5tfQW824rXmdfd+1f3o1lE1E0lvk/RbSfdKOrnd8ZiZ\nWdIxyUTSGOA/gIOB3YGjJO3a3qiaoafdAZTQ0+4ASuppdwAl9bQ7gFJ6enraHUIpnR5/WR2TTIAZ\nwJKIuD8iVgMXAoe3OaYm6Gl3ACX0tDuAknraHUBJPe0OoJRO3xl3evxldVIymQIsK7Qvz2VmNiyU\nu9B/2mmn+WJ/B/MF+BaQxKRJhzbU75//fA8TJtwyqOk899wSnntuUIOaDYGyF/pn57/+9fZOQGr+\nBf/Jk7dj5cqlTZ/OSKCI5t/lMRQk7QPMjoi35fZTgIiIL1f11xkzZGY2zETEoDN0JyWTDYB7gAOB\nB4EFwFERsbitgZmZWeec5oqIFyR9AphPutZzjhOJmdnw0DE1EzMzG7466W6uPnXCA42SzpHUK2lR\noWxzSfMl3SPpakmbFrrNlLRE0mJJB7Un6nUkTZV0naS7JN0p6cRcPuznQdKGkm6WdFuOfVanxF4k\naYykWyVdkds7Jn5JSyXdkX+DBbmsk+LfVNLFOZ67JL2+U+KXtEte7rfm/09IOnFI44+Ijv8jJcXf\nAdsB44DbgV3bHVeNOPcD9gIWFcq+DHw2N58MnJGbdwNuI52K3D7Pn9ocfxewV27ehHQNa9dOmQdg\nYv6/AXAT6dmljoi9MA+fBL4PXNGB688fgM2ryjop/vOAD+XmscCmnRR/YT7GAA8A2wxl/G2fsSFa\nOPsAPy+0nwKc3O646sS6Hesnk98Ck3NzF/DbWvMA/Bx4fbvjr5qXy4C/6rR5ACYCvwH27qTYganA\nNUB3IZk1Sa4aAAAHVUlEQVR0Uvz3AS+vKuuI+IGXAb+vUd4R8VfFfBDwq6GOf6Sc5urkBxq3johe\ngIhYCWydy6vnaQXDaJ4kbU+qZd1EWhmH/TzkU0S3ASuBayJiIR0Se/Z14DOs/zBHJ8UfwDWSFkr6\nSC7rlPh3AB6RdG4+VfRfkibSOfEXvReYm5uHLP6RkkxGkmF/R4SkTYBLgJMi4ileGvOwnIeIWBsR\nryUd4c+QtDsdErukvwZ6I+J2oK9nAYZl/Nm+ETEdeDtwgqQ30SHLn3S6Zzrw7TwPT5OO3jslfgAk\njQMOAy7ORUMW/0hJJiuAbQvtU3NZJ+iVNBlAUhfwUC5fQTqnWTEs5knSWFIiuSAiLs/FHTUPEbGK\n9CKrt9E5se8LHCbpD8APgQMkXQCs7JD4iYgH8/+HSadIZ9A5y385sCwifpPbf0xKLp0Sf8UhwC0R\n8UhuH7L4R0oyWQjsJGk7SeOBI4Er2hxTPWL9I8srgA/m5mOBywvlR0oaL2kHYCfSg5rt9j3g7oj4\nZqFs2M+DpC0rd6pI2gh4K7CYDogdICJOjYhtI2JH0vp9XUR8ALiSDohf0sRco0XSxqTz9nfSOcu/\nF1gmaZdcdCBwFx0Sf8FRpIORiqGLv90Xg4bwotLbSHcXLQFOaXc8dWKcS7qL4jngj8CHgM2Ba3Ps\n84HNCv3PJN1FsRg4aBjEvy/wAuluuduAW/Ny32K4zwOwR473dmAR8M+5fNjHXmNe9mfdBfiOiJ90\nzaGy3txZ2UY7Jf4cz2tIB663Az8h3c3VSfFPBB4GJhXKhix+P7RoZmaljZTTXGZm1kZOJmZmVpqT\niZmZleZkYmZmpTmZmJlZaU4mZmZWmpOJtZykyZJ+mF9vvVDSTyXt1O64ACTd2O4YKiR9Jb8u/8v9\n9w2S9pd0ZbPjqjPt7SQd1Y5p2/DQMV9atBHlUuDciDgKQNIewGTSA1JtIWmDiHghIvZrVww1HE96\nZftAHgZr14NjOwBHs/7T1TaKuGZiLSXpLcDzEfHflbKIuDMi/id3rxyN3yHpiFy2v6QeSZdJ+p2k\n0yUdrfSxqzvy6x7Ib3Q9O9d2fptfjlg5ar5B0m/y3z6F8d4g6XLSqzGQ9GT+3yXpl/kNsYsk7ZvL\nj8rtiySdUZivJyV9QdLtkn4taatc/p48P7dJ6qmzTIrz/J5cdjnpmzG3VMoK/U9U+tDaTZJukXRo\njXHW7EfSsZIuVfog0h8knSDpk3k+fy1ps9zfjpJ+npflLyuvEcnL+JuS/if/Fu/Kkzwd2C+P5yRJ\nu+Xf59a8TF7V4Cpinardj/j7b3T9Af8AfK1Ot3cBV+fmrYH7STWW/YFHc9l40kv3ZuX+TgTOzM3n\nAvNy806kV2iPByYA4wvlC3Pz/sCTwLaFGFbl/58CZuZmARsDr8gxbUE6EPsFcFjuZy3w9tz8ZeDU\n3LwIeEVuflmj81yMpcYwXwSOzs2bkl6FsRHrv2alXj/HAveSXq2xJfA4cHzu70zgxNx8LfCq3DwD\n+EVhGf8oN08DlhSW5RWFGL8FHJWbxwIbtnvd819z/3yay4aT/cinSSLioXwkvzdph78wIh4CkPR7\n0nuEIL3nqbswjovy8L/L/e0KLAX+Q9JepHeL7Vzof0FE/LFGLAuBc5Re2X15RNwh6UDg+oh4NMfx\nA+DNpJfiPR8R8/Kwt5A+GgZwIzBH0kWk9zk1Os8/pf6r5g8CDpX0mdw+nvXfmt1fP9dHxDPAM5Ie\nz9OCtCz3yC9ifCNwsaRKDOMK474sx7tY0tbU9r/AP0uaClwaEW07hWmt4WRirXYX8LcN9lvcmT5X\naF5baF/L+utx8ZqBcvsngZURsaekDYBnC/08XWvCEfErSW8G/ho4V9KZwCrq7+BXF5pfqMQUER+X\ntDfwN6RTVtMj4rE646jEXGteqr07IpasN2B6hXhxPLX62Yf1l2Xw0mU5Bngs0nc7aikOX3N5RMQP\nJd1Emu95kv4uInr6mB/rcL5mYi0VEdcB47XuS3tI2kPSfsCvgPcqfRFxK+BNDPy13e9R8irSReF7\nSKd5HszdjyF9A74e5Zi2BR6KiHOAc0jfrlgAvFnSFjkpHUX6Lkr9kUk7RsTCiJhF+lbENlW91Jrn\nm4ux1HA16fReZRp7DbKfmiLiSeA+SS8mfUl71um9EuOTwKRC/ztExH0R8e+k15rXG95GCNdMrB3e\nCXxT0imkWsJS4B8j4kZJbwDuIB0lfyaf+plWNXxfR+x/JO30JwEfjYjnJZ0F/FjSMcBV1KmNVI27\nG/iMpNWkHeUxEbEyx9yT+/lZRPy0arhqX5FUOa12bUQsWm9iEZfm2kJxnh/uZ5xfAL4haRFpZ34f\n6et5RZ8v9DMG+EONfvqaxvuBsyX9C2k/cSHp+k+9L/MtAtYqfRb5PGCCpA+QamwPkq7h2AjmV9Db\niCHpXODKiKh1bcLMmsinuWwk8ZGRWZu4ZmJmZqW5ZmJmZqU5mZiZWWlOJmZmVpqTiZmZleZkYmZm\npTmZmJlZaf8P4TAxreD0pO4AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x88a9a30>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "('n', 80)\n",
      "('runs', 10000)\n",
      "('mean', 212.8262)\n",
      "('stdev', 74.50855082455031)\n",
      "('min', 79)\n",
      "('max', 634)\n",
      "------------------------------\n"
     ]
    },
    {
     "data": {
      "image/png": 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5wBxgAmZmNiC0MpkEcIukmZK+mMtGRkQXQEQsAjbJ5aOB+YVpF+YyMzMbAIa2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\nMzMrzcnEzMxKczIxM7PSnEzMzKy0/w/k1L62CHYYbAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x8a5a470>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "('n', 90)\n",
      "('runs', 10000)\n",
      "('mean', 242.675)\n",
      "('stdev', 84.50215758466553)\n",
      "('min', 89)\n",
      "('max', 645)\n",
      "------------------------------\n"
     ]
    },
    {
     "data": {
      "image/png": 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6DYUYwXE2muNsrKESZ1lN/QV8O0iK4TZPZmbNJono1AvwZmb26uBkYmZmpTmZmJlZaU4m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\nAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x84accb0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "('n', 100)\n",
      "('runs', 10000)\n",
      "('mean', 269.8704)\n",
      "('stdev', 93.73675299329592)\n",
      "('min', 99)\n",
      "('max', 741)\n",
      "------------------------------\n"
     ]
    },
    {
     "data": {
      "image/png": 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IqzUYYgTHWTbHWa7BEmeZ6vrL+2aQFO02T2Zm9SaJGAwX783MbO3jxGJmZqVyYjEzs1I5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\nMyvV/wEOcnjwxniwRAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x8459fd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "('n', 200)\n",
      "('runs', 10000)\n",
      "('mean', 562.6447)\n",
      "('stdev', 194.4390930805886)\n",
      "('min', 199)\n",
      "('max', 1500)\n",
      "------------------------------\n"
     ]
    },
    {
     "data": {
      "image/png": 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cC3w0dx8HXFNInyJppKQdgZ2B2bm57BlJk/PF/GML45iZWYdp6hmLpJlAD/Ba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\nmZXKgcXMzEr1/wEWWUe6IYEXWwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x89adf50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "('n', 300)\n",
      "('runs', 10000)\n",
      "('mean', 856.3328)\n",
      "('stdev', 292.5516373056371)\n",
      "('min', 299)\n",
      "('max', 2676)\n",
      "------------------------------\n"
     ]
    },
    {
     "data": {
      "image/png": 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5BkucZWrqk/ftICmG2jKZmTWbJGIwXLw3M7OXHieWIWTMmD2Q1PK/MWP2aPeim1kHcVPY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\nqZxYzMysVE4sZmZWKicWMzMr1f8HgpY8u7SYfEEAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x5fde130>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "('n', 400)\n",
      "('runs', 10000)\n",
      "('mean', 1157.6512)\n",
      "('stdev', 394.2777265217034)\n",
      "('min', 399)\n",
      "('max', 3955)\n",
      "------------------------------\n"
     ]
    },
    {
     "data": {
      "image/png": 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HuBxTYxxTezT1m/ftICkG2zqZmTWbJGIgXLw3M7O1jxOLmZmVyonFzMxK5cRiZmalcmIx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\nZlYqJxYzMyuVE4uZmZXq/wDVSjpJ8kr22gAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x84b0670>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "('n', 500)\n",
      "('runs', 10000)\n",
      "('mean', 1456.9553)\n",
      "('stdev', 493.6323080871721)\n",
      "('min', 499)\n",
      "('max', 4322)\n",
      "------------------------------\n"
     ]
    },
    {
     "data": {
      "image/png": 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qj2NqjYb+8r4VJMVQmyYzs0aTRHTCxXszMxt+nFjMzKxUTixmZlYqJxYzMyuVE4uZmZXK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\nAP9PF1h8ytGWAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x8f0c090>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "('n', 600)\n",
      "('runs', 10000)\n",
      "('mean', 1753.5574)\n",
      "('stdev', 591.1577360164757)\n",
      "('min', 599)\n",
      "('max', 4613)\n",
      "------------------------------\n"
     ]
    },
    {
     "data": {
      "image/png": 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2rhu4fq2u3etXprr+8r4ZJEW71cnMrN4kEa1w8d7MzNY+DixmZlYqBxYzMyuVA4uZmZXK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\nYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x8266ef0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "('n', 700)\n",
      "('runs', 10000)\n",
      "('mean', 2065.0098)\n",
      "('stdev', 693.9169219534982)\n",
      "('min', 699)\n",
      "('max', 5677)\n",
      "------------------------------\n"
     ]
    },
    {
     "data": {
      "image/png": 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rE0sAN0qaJenzuWxERPQARMQSYPNcPgpYWJh3cS4zM7MBZnAL6x4fEY9J2gyY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\nmZXKicXMzErlxGJmZqX6/3BwuZ2Mq3V6AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x8f0c610>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "('n', 800)\n",
      "('runs', 10000)\n",
      "('mean', 2360.8825)\n",
      "('stdev', 802.2136703965142)\n",
      "('min', 799)\n",
      "('max', 6607)\n",
      "------------------------------\n"
     ]
    },
    {
     "data": {
      "image/png": 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0NDuEVRoIMYLjLJvjLNdAibNMdf3lfTNIinZbJjOzepNEDIST9/buMWrUlkhq2N+oUVs2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\nzErlxGJmZqX6/y1kPdtDfh1mAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x62dfd70>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "('n', 900)\n",
      "('runs', 10000)\n",
      "('mean', 2678.1946)\n",
      "('stdev', 901.8296501017363)\n",
      "('min', 899)\n",
      "('max', 7681)\n",
      "------------------------------\n"
     ]
    },
    {
     "data": {
      "image/png": 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OYbk6IUZwnGVznOXqlDjL1NBf3reCpBhsy2Rm1miSiE44eW9mZisfJxYzMyuVE4uZmZXK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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x60b7250>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "('n', 1000)\n",
      "('runs', 10000)\n",
      "('mean', 2958.9377)\n",
      "('stdev', 997.1652582565928)\n",
      "('min', 999)\n",
      "('max', 7714)\n",
      "------------------------------\n"
     ]
    },
    {
     "data": {
      "image/png": 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0tfJXamZmtk7amWRUo/4jgel5eDpwVB4+Arg0Il6KiAXAfGASZmbW0dqZZAL4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\nk4yZmZXm/wPEUypTVqBK7AAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x8641b10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "('n', 2000)\n",
      "('runs', 10000)\n",
      "('mean', 5965.3449)\n",
      "('stdev', 2007.9484500957226)\n",
      "('min', 1999)\n",
      "('max', 15169)\n",
      "------------------------------\n"
     ]
    },
    {
     "data": {
      "image/png": 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YMFwXa7gu1nBdlK/UX/y3gqRot20yMyubJGKwnfg3M7P1m4OMmZmVxkHGzMxK4yBjZmal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\nHGTMzKw0/wd3fNQ0N7IzPgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x624a030>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "('n', 3000)\n",
      "('runs', 10000)\n",
      "('mean', 8952.7972)\n",
      "('stdev', 2992.1883822385985)\n",
      "('min', 2999)\n",
      "('max', 23757)\n",
      "------------------------------\n"
     ]
    },
    {
     "data": {
      "image/png": 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9IpdtERG9ABGxHNg8l08C7q1Me18uMxsBniV9Hcr/9fbeM1QLZQbA2DbWvVdE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\n/B9XT6mO7PHl1wAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x931c7d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "('n', 4000)\n",
      "('runs', 10000)\n",
      "('mean', 11976.4111)\n",
      "('stdev', 4064.053828906455)\n",
      "('min', 3999)\n",
      "('max', 32262)\n",
      "------------------------------\n"
     ]
    },
    {
     "data": {
      "image/png": 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XV9UhvEOrYho7dnMkteTvtNNO63ecsWM3b0ncAzGcP79WckzNGYwxlanUX/xXQVIMt2Ua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\n+T+3fmsxe0tNyQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x88a63b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "('n', 5000)\n",
      "('runs', 10000)\n",
      "('mean', 14955.3846)\n",
      "('stdev', 5018.240642495877)\n",
      "('min', 4999)\n",
      "('max', 42333)\n",
      "------------------------------\n"
     ]
    },
    {
     "data": {
      "image/png": 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WqyqPZJYAHRHx3oiYmMtOA26OiB2AW4BJAJJ2Ao4AxgMHARdIUgUxmzXwJhAD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\nGTMzK42TjJmZleb/A9ClHPynNvajAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x62dc610>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "('n', 6000)\n",
      "('runs', 10000)\n",
      "('mean', 17867.1932)\n",
      "('stdev', 5966.145634766828)\n",
      "('min', 6257)\n",
      "('max', 46189)\n",
      "------------------------------\n"
     ]
    },
    {
     "data": {
      "image/png": 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1MsgEcLWkuZI+k9PGR8RSgIhYAmyc0ycCiyrLPpjTzMxsCGvljzF3jYiHJb0e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\nTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x3170c30>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "('n', 7000)\n",
      "('runs', 10000)\n",
      "('mean', 20982.9787)\n",
      "('stdev', 7001.430641658125)\n",
      "('min', 6999)\n",
      "('max', 51534)\n",
      "------------------------------\n"
     ]
    },
    {
     "data": {
      "image/png": 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pv/jvOj09Pe0OYdA6OXZw/O3m+NunZOxFf/HfDpKi25bJzKw0SUSnnfg3M7O1m5OMmZkV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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x8c10170>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "('n', 8000)\n",
      "('runs', 10000)\n",
      "('mean', 23961.8319)\n",
      "('stdev', 8030.910856706182)\n",
      "('min', 7999)\n",
      "('max', 62606)\n",
      "------------------------------\n"
     ]
    },
    {
     "data": {
      "image/png": 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h/o3/Yaurq6vVIQxoOMQIjrPZHGdzDZc4Syn6jf9WkBSd9prMzEqTRAy3C/9mZjayOcnY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\nRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x6254fd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "('n', 9000)\n",
      "('runs', 10000)\n",
      "('mean', 26872.5527)\n",
      "('stdev', 8930.671896563836)\n",
      "('min', 8999)\n",
      "('max', 75699)\n",
      "------------------------------\n"
     ]
    },
    {
     "data": {
      "image/png": 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GieH+i/9hoaurq+4QXqGdMU2YsCWSVvnvxBNPbGm6CRO2bFvsrej0z69dHFNrhmJMJRX9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\nMyvm/wO7YvE9PR6qjQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x8f20830>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "('n', 10000)\n",
      "('runs', 10000)\n",
      "('mean', 29947.2384)\n",
      "('stdev', 10050.16208774587)\n",
      "('min', 9999)\n",
      "('max', 85256)\n",
      "------------------------------\n"
     ]
    },
    {
     "data": {
      "image/png": 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V7hCWaSDECI6z2Rxncw2UOMvQ0icNtIOkGGzLZGbWapKIgdxpwMzMrMIJx8zMSuGEY2Zm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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x8a85c10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "('n', 100000)\n",
      "('runs', 10000)\n",
      "('mean', 299284.5031)\n",
      "('stdev', 99882.34949265064)"
     ]
    }
   ],
   "source": [
    "import random\n",
    "import statistics\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "\n",
    "\n",
    "def randomquickselect(alist,times,k):\n",
    "   comp = [0]\n",
    "   randomquickselecthelper(alist,0,len(alist)-1,comp,k)\n",
    "   times.append(comp[0])\n",
    "\n",
    "\n",
    "def randomquickselecthelper(alist,first,last,comp,k ):\n",
    "\n",
    "   if first<last:\n",
    "       r = randompartition(alist,first,last)\n",
    "       splitpoint = r[0]\n",
    "       tmp = comp.pop()\n",
    "       comp.append(tmp+r[1])\n",
    "\n",
    "       if splitpoint > k:\n",
    "           randomquickselecthelper(alist,first,splitpoint-1,comp,k)\n",
    "       elif splitpoint < k:\n",
    "           randomquickselecthelper(alist,splitpoint+1,last,comp,k)\n",
    "\n",
    "\n",
    "\n",
    "def randompartition(alist,first,last):\n",
    "  \n",
    "   indxpiv = random.randint(first,last)\n",
    "   temp = alist[indxpiv]\n",
    "   alist[indxpiv] = alist[first]\n",
    "   alist[first] = temp\n",
    "   \n",
    "   pivotvalue = alist[first]\n",
    "   compspart = 0\n",
    "\n",
    "   leftmark = first+1\n",
    "   rightmark = last\n",
    "\n",
    "   done = False\n",
    "   while not done:\n",
    "\n",
    "       while leftmark <= rightmark and alist[leftmark] <= pivotvalue:\n",
    "           leftmark = leftmark + 1\n",
    "           compspart = compspart + 1\n",
    "\n",
    "       while alist[rightmark] >= pivotvalue and rightmark >= leftmark:\n",
    "           rightmark = rightmark -1\n",
    "           compspart = compspart + 1\n",
    "\n",
    "       if rightmark < leftmark:\n",
    "           done = True\n",
    "       else:\n",
    "           temp = alist[leftmark]\n",
    "           alist[leftmark] = alist[rightmark]\n",
    "           alist[rightmark] = temp\n",
    "\n",
    "   temp = alist[first]\n",
    "   alist[first] = alist[rightmark]\n",
    "   alist[rightmark] = temp\n",
    "\n",
    "   return rightmark,compspart\n",
    "\n",
    "\n",
    "def randquickselect(n,r):\n",
    "    l = []\n",
    "    for i in range(n,0,-1):\n",
    "        l.append(i)\n",
    "    tlist = []\n",
    "\n",
    "    for p in range(r):\n",
    "        k = random.randint(0,n-1)\n",
    "        y = list(l)\n",
    "        randomquickselect(y,tlist,k)\n",
    "\n",
    "\n",
    "    plt.hist(tlist)\n",
    "    plt.title(\"Number of comparison of QuickSelect for all permutaions\")\n",
    "    plt.xlabel(\"Comparisons of elements\")\n",
    "    plt.ylabel(\"Frequency\")\n",
    "    plt.show()\n",
    "\n",
    "    print(\"n\",n)\n",
    "    print(\"runs\",r)\n",
    "    print(\"mean\",statistics.mean(tlist))\n",
    "    print(\"stdev\",statistics.stdev(tlist))\n",
    "    print(\"min\",min(tlist))\n",
    "    print(\"max\",max(tlist))\n",
    "    print(\"------------------------------\")\n",
    "\n",
    "\n",
    "n = [10, 20,30, 40, 50, 60, 70, 80, 90, 100, 200, 300, 400, 500, 600, 700, 800, 900,\n",
    "    1000, 2000, 3000, 4000, 5000, 6000, 7000, 8000, 9000, 10000, 100000, 1000000, 10000000]\n",
    "\n",
    "for i in n:\n",
    "    randquickselect(i,10000)"
   ]
  },
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   "source": []
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