{
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "#"
      ],
      "id": "94aae2a4-e0e9-49e6-a5f4-e188fa2ec4e6"
    },
    {
      "cell_type": "code",
      "execution_count": 1,
      "metadata": {},
      "outputs": [],
      "source": [
        "import numpy as np\n",
        "import matplotlib.pyplot as plt"
      ],
      "id": "bb9790c5-6ea5-428b-bfb0-a0dba4bd92d9"
    },
    {
      "cell_type": "code",
      "execution_count": 2,
      "metadata": {},
      "outputs": [],
      "source": [
        "def bernoulli_density(x, p = 0.5):\n",
        "    return p ** x * (1 - p) ** (1 - x)"
      ],
      "id": "34e7c49b-7cc3-49b8-b209-7cc071228a8b"
    },
    {
      "cell_type": "code",
      "execution_count": 3,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/plain": [
              "0.73"
            ]
          }
        }
      ],
      "source": [
        "bernoulli_density(0, p = 0.27)"
      ],
      "id": "70d1bd41-8f9f-4098-8316-6d930accfb0e"
    },
    {
      "cell_type": "code",
      "execution_count": 4,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/plain": [
              "0.27"
            ]
          }
        }
      ],
      "source": [
        "bernoulli_density(1, p = 0.27)"
      ],
      "id": "8d8467bb-7e25-4179-a2bf-47dfd983a2ce"
    },
    {
      "cell_type": "code",
      "execution_count": 5,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/plain": [
              "array([0.73, 0.73, 0.73, 0.73, 0.73, 0.73, 0.73, 0.27, 0.27, 0.73])"
            ]
          }
        }
      ],
      "source": [
        "rng = np.random.default_rng()\n",
        "x = rng.binomial(1, 0.27, size = 10)\n",
        "bernoulli_density(x, p = 0.27)"
      ],
      "id": "b0c6dbda-b307-426a-bbcb-201c967c6e83"
    },
    {
      "cell_type": "code",
      "execution_count": 7,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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AgPEIFgAAYDyCBQAAGI9gAQAAxiNYAACA8QgWAABgPIIFAAAYj2ABAADGI1gAAIDxCBYA\nAGA8ggUAABiPYAEAAMYjWAAAgPEIFgAAYDyCBQAAGI9gAQAAxiNYAACA8QgWAABgvAEFS1VVlSZP\nniy3261AIKCGhoY+x27YsEEOhyNpc7vdSWMsy9KqVavk8/k0btw4BYNBffTRRwNZGgAAGIVsB8vm\nzZsVCoVUXl6uXbt26cYbb1RBQYFOnjzZ5zFpaWk6ceJEYjty5EjS/c8++6x+8pOfqLq6Wjt27NBV\nV12lgoICnTt3zv4jAgAAo47tYFm/fr2WLVum4uJizZo1S9XV1Ro/frxqa2v7PMbhcCgzMzOxeb3e\nxH2WZamyslJPPvmkFi5cqDlz5ujll1/W8ePH9frrrw/oQQEAgNHFVrB0d3dr586dCgaDFydISVEw\nGFR9fX2fx509e1bXXnut/H6/Fi5cqA8++CBx36FDhxSJRJLm9Hg8CgQCfc7Z1dWlaDSatAEAgNHL\nVrC0trYqFoslvUIiSV6vV5FIpNdjZsyYodraWv32t7/VK6+8ong8rptvvlnHjh2TpMRxduasqKiQ\nx+NJbH6/387DAAAAI8ygf0ooPz9fS5YsUW5urm677Ta99tpruuaaa/Rv//ZvA56zrKxM7e3tie3o\n0aOXccUAAMA0toIlPT1dTqdTLS0tSftbWlqUmZnZrznGjh2rr3zlK2pqapKkxHF25nS5XEpLS0va\nAADA6GUrWFJTU5WXl6dwOJzYF4/HFQ6HlZ+f3685YrGY9uzZI5/PJ0maMmWKMjMzk+aMRqPasWNH\nv+cEAACj2xi7B4RCIS1dulRz587VvHnzVFlZqc7OThUXF0uSlixZouzsbFVUVEiS1qxZo7/5m7/R\ntGnT1NbWpueee05HjhzRQw89JOnTTxB973vf09NPP60vf/nLmjJlip566illZWXp3nvvvXyPFAAA\njFi2g6WoqEinTp3SqlWrFIlElJubq7q6usRFs83NzUpJufjCzccff6xly5YpEolo0qRJysvL0/bt\n2zVr1qzEmOXLl6uzs1MPP/yw2tradOutt6qurq7HF8wBAIArk8OyLGu4F/FFRaNReTwetbe3cz0L\nAAAjhJ3nb35LCAAAGI9gAQAAxiNYAACA8QgWAABgPIIFAAAYj2ABAADGI1gAAIDxCBYAAGA8ggUA\nABiPYAEAAMYjWAAAgPEIFgAAYDyCBQAAGI9gAQAAxiNYAACA8QgWAABgPIIFAAAYj2ABAADGI1gA\nAIDxCBYAAGA8ggUAABiPYAEAAMYjWAAAgPEIFgAAYDyCBQAAGI9gAQAAxiNYAACA8QgWAABgPIIF\nAAAYj2ABAADGI1gAAIDxCBYAAGA8ggUAABiPYAEAAMYjWAAAgPEIFgAAYDyCBQAAGI9gAQAAxiNY\nAACA8QYULFVVVZo8ebLcbrcCgYAaGhr6ddymTZvkcDh07733Ju1/4IEH5HA4krbCwsKBLA0AAIxC\ntoNl8+bNCoVCKi8v165du3TjjTeqoKBAJ0+evORxhw8f1uOPP6758+f3en9hYaFOnDiR2H71q1/Z\nXRoAABilbAfL+vXrtWzZMhUXF2vWrFmqrq7W+PHjVVtb2+cxsVhMixYt0urVq5WTk9PrGJfLpczM\nzMQ2adIku0sDAACjlK1g6e7u1s6dOxUMBi9OkJKiYDCo+vr6Po9bs2aNMjIy9OCDD/Y5Ztu2bcrI\nyNCMGTNUUlKi06dP9zm2q6tL0Wg0aQMAAKOXrWBpbW1VLBaT1+tN2u/1ehWJRHo95p133tGLL76o\nmpqaPuctLCzUyy+/rHA4rB/96Ed6++23dffddysWi/U6vqKiQh6PJ7H5/X47DwMAAIwwYwZz8o6O\nDi1evFg1NTVKT0/vc9y3v/3txP++4YYbNGfOHE2dOlXbtm3THXfc0WN8WVmZQqFQ4nY0GiVaAAAY\nxWwFS3p6upxOp1paWpL2t7S0KDMzs8f4AwcO6PDhw1qwYEFiXzwe//QPHjNGjY2Nmjp1ao/jcnJy\nlJ6erqampl6DxeVyyeVy2Vk6AAAYwWy9JZSamqq8vDyFw+HEvng8rnA4rPz8/B7jZ86cqT179mj3\n7t2J7Z577tHtt9+u3bt39/mqyLFjx3T69Gn5fD6bDwcAAIxGtt8SCoVCWrp0qebOnat58+apsrJS\nnZ2dKi4uliQtWbJE2dnZqqiokNvt1uzZs5OOnzhxoiQl9p89e1arV6/WN7/5TWVmZurAgQNavny5\npk2bpoKCgi/48AAAwGhgO1iKiop06tQprVq1SpFIRLm5uaqrq0tciNvc3KyUlP6/cON0OvX+++9r\n48aNamtrU1ZWlu666y6tXbuWt30AAIAkyWFZljXci/iiotGoPB6P2tvblZaWNtzLAQAA/WDn+Zvf\nEgIAAMYjWAAAgPEIFgAAYDyCBQAAGI9gAQAAxiNYAACA8QgWAABgPIIFAAAYj2ABAADGI1gAAIDx\nCBYAAGA8ggUAABiPYAEAAMYjWAAAgPEIFgAAYDyCBQAAGI9gAQAAxiNYAACA8QgWAABgPIIFAAAY\nj2ABAADGI1gAAIDxCBYAAGA8ggUAABiPYAEAAMYjWAAAgPEIFgAAYDyCBQAAGI9gAQAAxiNYAACA\n8QgWAABgPIIFAAAYj2ABAADGI1gAAIDxCBYAAGA8ggUAABiPYAEAAMYjWAAAgPEGFCxVVVWaPHmy\n3G63AoGAGhoa+nXcpk2b5HA4dO+99ybttyxLq1atks/n07hx4xQMBvXRRx8NZGkAAGAUsh0smzdv\nVigUUnl5uXbt2qUbb7xRBQUFOnny5CWPO3z4sB5//HHNnz+/x33PPvusfvKTn6i6ulo7duzQVVdd\npYKCAp07d87u8gAAwChkO1jWr1+vZcuWqbi4WLNmzVJ1dbXGjx+v2traPo+JxWJatGiRVq9erZyc\nnKT7LMtSZWWlnnzySS1cuFBz5szRyy+/rOPHj+v111+3/YAAAMDoYytYuru7tXPnTgWDwYsTpKQo\nGAyqvr6+z+PWrFmjjIwMPfjggz3uO3TokCKRSNKcHo9HgUCgzzm7uroUjUaTNgAAMHrZCpbW1lbF\nYjF5vd6k/V6vV5FIpNdj3nnnHb344ouqqanp9f4Lx9mZs6KiQh6PJ7H5/X47DwMAAIwwg/opoY6O\nDi1evFg1NTVKT0+/bPOWlZWpvb09sR09evSyzQ0AAMwzxs7g9PR0OZ1OtbS0JO1vaWlRZmZmj/EH\nDhzQ4cOHtWDBgsS+eDz+6R88ZowaGxsTx7W0tMjn8yXNmZub2+s6XC6XXC6XnaUDAIARzNYrLKmp\nqcrLy1M4HE7si8fjCofDys/P7zF+5syZ2rNnj3bv3p3Y7rnnHt1+++3avXu3/H6/pkyZoszMzKQ5\no9GoduzY0eucAADgymPrFRZJCoVCWrp0qebOnat58+apsrJSnZ2dKi4uliQtWbJE2dnZqqiokNvt\n1uzZs5OOnzhxoiQl7f/e976np59+Wl/+8pc1ZcoUPfXUU8rKyurxfS0AAODKZDtYioqKdOrUKa1a\ntUqRSES5ubmqq6tLXDTb3NyslBR7l8YsX75cnZ2devjhh9XW1qZbb71VdXV1crvddpcHAABGIYdl\nWdZwL+KLikaj8ng8am9vV1pa2nAvBwAA9IOd529+SwgAABiPYAEAAMYjWAAAgPEIFgAAYDyCBQAA\nGI9gAQAAxiNYAACA8QgWAABgPIIFAAAYj2ABAADGI1gAAIDxCBYAAGA8ggUAABiPYAEAAMYjWAAA\ngPEIFgAAYDyCBQAAGI9gAQAAxiNYAACA8QgWAABgPIIFAAAYj2ABAADGI1gAAIDxCBYAAGA8ggUA\nABiPYAEAAMYjWAAAgPEIFgAAYDyCBQAAGI9gAQAAxiNYAACA8QgWAABgPIIFAAAYj2ABAADGI1gA\nAIDxCBYAAGA8ggUAABiPYAEAAMYjWAAAgPEGFCxVVVWaPHmy3G63AoGAGhoa+hz72muvae7cuZo4\ncaKuuuoq5ebm6he/+EXSmAceeEAOhyNpKywsHMjSAADAKDTG7gGbN29WKBRSdXW1AoGAKisrVVBQ\noMbGRmVkZPQYf/XVV2vlypWaOXOmUlNT9fvf/17FxcXKyMhQQUFBYlxhYaFeeumlxG2XyzXAhwQA\nAEYbh2VZlp0DAoGAvvrVr+pnP/uZJCkej8vv9+u73/2uVqxY0a85brrpJn3jG9/Q2rVrJX36Cktb\nW5tef/11e6v//6LRqDwej9rb25WWljagOQAAwNCy8/xt6y2h7u5u7dy5U8Fg8OIEKSkKBoOqr6//\n3OMty1I4HFZjY6P+9m//Num+bdu2KSMjQzNmzFBJSYlOnz7d5zxdXV2KRqNJGwAAGL1svSXU2tqq\nWCwmr9ebtN/r9erDDz/s87j29nZlZ2erq6tLTqdTP//5z3XnnXcm7i8sLNQ//MM/aMqUKTpw4IB+\n8IMf6O6771Z9fb2cTmeP+SoqKrR69Wo7SwcAACOY7WtYBmLChAnavXu3zp49q3A4rFAopJycHH3t\na1+TJH37299OjL3hhhs0Z84cTZ06Vdu2bdMdd9zRY76ysjKFQqHE7Wg0Kr/fP+iPAwAADA9bwZKe\nni6n06mWlpak/S0tLcrMzOzzuJSUFE2bNk2SlJubq3379qmioiIRLJ+Vk5Oj9PR0NTU19RosLpeL\ni3IBALiC2LqGJTU1VXl5eQqHw4l98Xhc4XBY+fn5/Z4nHo+rq6urz/uPHTum06dPy+fz2VkeAAAY\npWy/JRQKhbR06VLNnTtX8+bNU2VlpTo7O1VcXCxJWrJkibKzs1VRUSHp0+tN5s6dq6lTp6qrq0tb\nt27VL37xCz3//POSpLNnz2r16tX65je/qczMTB04cEDLly/XtGnTkj72DAAArly2g6WoqEinTp3S\nqlWrFIlElJubq7q6usSFuM3NzUpJufjCTWdnpx555BEdO3ZM48aN08yZM/XKK6+oqKhIkuR0OvX+\n++9r48aNamtrU1ZWlu666y6tXbuWt30AAICkAXwPi4n4HhYAAEaeQfseFgAAgOFAsAAAAOMRLAAA\nwHgECwAAMB7BAgAAjEewAAAA4xEsAADAeEPy44cAAGBkisUtNRw6o5Md55Qxwa15U66WM8Ux5Osg\nWAAAQK/q/nxCq3+3VyfazyX2+TxulS+YpcLZQ/t7f7wlBAAAeqj78wmVvLIrKVYkKdJ+TiWv7FLd\nn08M6XoIFgAAkCQWt7T6d3vV22/3XNi3+nd7FYsP3a/7ECwAACBJw6EzPV5Z+b8sSSfaz6nh0Jkh\nWxPBAgAAkpzs6DtWBjLuciBYAABAkowJ7ss67nIgWAAAQJJ5U66Wz+NWXx9edujTTwvNm3L1kK2J\nYAEAAEmcKQ6VL5glST2i5cLt8gWzhvT7WAgWAADQQ+Fsn56//yZlepLf9sn0uPX8/TcN+few8MVx\nAACgV4WzfbpzVibfdAsAAMzmTHEof+pfDfcyeEsIAACYj2ABAADGI1gAAIDxCBYAAGA8ggUAABiP\nYAEAAMYjWAAAgPEIFgAAYDyCBQAAGG9UfNOtZVmSpGg0OswrAQAA/XXhefvC8/iljIpg6ejokCT5\n/f5hXgkAALCro6NDHo/nkmMcVn+yxnDxeFzHjx/XhAkT5HBc3h9kikaj8vv9Onr0qNLS0i7r3LiI\n8zw0OM9Dh3M9NDjPQ2OwzrNlWero6FBWVpZSUi59lcqoeIUlJSVFX/rSlwb1z0hLS+MfhiHAeR4a\nnOehw7keGpznoTEY5/nzXlm5gItuAQCA8QgWAABgPILlc7hcLpWXl8vlcg33UkY1zvPQ4DwPHc71\n0OA8Dw0TzvOouOgWAACMbrzCAgAAjEewAAAA4xEsAADAeAQLAAAwHsEiqaqqSpMnT5bb7VYgEFBD\nQ8Mlx//Hf/yHZs6cKbfbrRtuuEFbt24dopWObHbOc01NjebPn69JkyZp0qRJCgaDn/v/Cz5l9+/z\nBZs2bZLD4dC99947uAscJeye57a2NpWWlsrn88nlcmn69On8u6Of7J7ryspKzZgxQ+PGjZPf79dj\njz2mc+fODdFqR57//u//1oIFC5SVlSWHw6HXX3/9c4/Ztm2bbrrpJrlcLk2bNk0bNmwY9HXKusJt\n2rTJSk1NtWpra60PPvjAWrZsmTVx4kSrpaWl1/F/+tOfLKfTaT377LPW3r17rSeffNIaO3astWfP\nniFe+chi9zx/5zvfsaqqqqz33nvP2rdvn/XAAw9YHo/HOnbs2BCvfGSxe54vOHTokJWdnW3Nnz/f\nWrhw4dAsdgSze567urqsuXPnWl//+tetd955xzp06JC1bds2a/fu3UO88pHH7rn+5S9/ablcLuuX\nv/yldejQIevNN9+0fD6f9dhjjw3xykeOrVu3WitXrrRee+01S5L1m9/85pLjDx48aI0fP94KhULW\n3r17rZ/+9KeW0+m06urqBnWdV3ywzJs3zyotLU3cjsViVlZWllVRUdHr+G9961vWN77xjaR9gUDA\n+sd//MdBXedIZ/c8f9Ynn3xiTZgwwdq4ceNgLXFUGMh5/uSTT6ybb77Z+vd//3dr6dKlBEs/2D3P\nzz//vJWTk2N1d3cP1RJHDbvnurS01Pq7v/u7pH2hUMi65ZZbBnWdo0V/gmX58uXW9ddfn7SvqKjI\nKigoGMSVWdYV/ZZQd3e3du7cqWAwmNiXkpKiYDCo+vr6Xo+pr69PGi9JBQUFfY7HwM7zZ/3lL3/R\n+fPndfXVVw/WMke8gZ7nNWvWKCMjQw8++OBQLHPEG8h5fuONN5Sfn6/S0lJ5vV7Nnj1b69atUywW\nG6plj0gDOdc333yzdu7cmXjb6ODBg9q6dau+/vWvD8marwTD9Tw4Kn78cKBaW1sVi8Xk9XqT9nu9\nXn344Ye9HhOJRHodH4lEBm2dI91AzvNnPfHEE8rKyurxDwkuGsh5fuedd/Tiiy9q9+7dQ7DC0WEg\n5/ngwYP64x//qEWLFmnr1q1qamrSI488ovPnz6u8vHwolj0iDeRcf+c731Fra6tuvfVWWZalTz75\nRP/0T/+kH/zgB0Ox5CtCX8+D0WhU//u//6tx48YNyp97Rb/CgpHhmWee0aZNm/Sb3/xGbrd7uJcz\nanR0dGjx4sWqqalRenr6cC9nVIvH48rIyNALL7ygvLw8FRUVaeXKlaqurh7upY0627Zt07p16/Tz\nn/9cu3bt0muvvaYtW7Zo7dq1w700fEFX9Css6enpcjqdamlpSdrf0tKizMzMXo/JzMy0NR4DO88X\n/PjHP9Yzzzyjt956S3PmzBnMZY54ds/zgQMHdPjwYS1YsCCxLx6PS5LGjBmjxsZGTZ06dXAXPQIN\n5O+zz+fT2LFj5XQ6E/uuu+46RSIRdXd3KzU1dVDXPFIN5Fw/9dRTWrx4sR566CFJ0g033KDOzk49\n/PDDWrlypVJS+O/0L6qv58G0tLRBe3VFusJfYUlNTVVeXp7C4XBiXzweVzgcVn5+fq/H5OfnJ42X\npP/8z//sczwGdp4l6dlnn9XatWtVV1enuXPnDsVSRzS753nmzJnas2ePdu/endjuuece3X777dq9\ne7f8fv9QLn/EGMjf51tuuUVNTU2JIJSk/fv3y+fzESuXMJBz/Ze//KVHlFwIRYufzrsshu15cFAv\n6R0BNm3aZLlcLmvDhg3W3r17rYcfftiaOHGiFYlELMuyrMWLF1srVqxIjP/Tn/5kjRkzxvrxj39s\n7du3zyovL+djzf1g9zw/88wzVmpqqvXqq69aJ06cSGwdHR3D9RBGBLvn+bP4lFD/2D3Pzc3N1oQJ\nE6x//ud/thobG63f//73VkZGhvX0008P10MYMeye6/LycmvChAnWr371K+vgwYPWH/7wB2vq1KnW\nt771reF6CMbr6Oiw3nvvPeu9996zJFnr16+33nvvPevIkSOWZVnWihUrrMWLFyfGX/hY8/e//31r\n3759VlVVFR9rHio//elPrb/+67+2UlNTrXnz5lnvvvtu4r7bbrvNWrp0adL4X//619b06dOt1NRU\n6/rrr7e2bNkyxCsemeyc52uvvdaS1GMrLy8f+oWPMHb/Pv9fBEv/2T3P27dvtwKBgOVyuaycnBzr\nX/7lX6xPPvlkiFc9Mtk51+fPn7d++MMfWlOnTrXcbrfl9/utRx55xPr444+HfuEjxH/913/1+u/b\nC+d16dKl1m233dbjmNzcXCs1NdXKycmxXnrppUFfp8OyeI0MAACY7Yq+hgUAAIwMBAsAADAewQIA\nAIxHsAAAAOMRLAAAwHgECwAAMB7BAgAAjEewAAAA4xEsAADAeAQLAAAwHsECAACMR7AAAADj/T/6\nDkAzEwKQKwAAAABJRU5ErkJggg==\n"
          }
        }
      ],
      "source": [
        "x = np.array([0, 1])\n",
        "p = 0.33\n",
        "y = bernoulli_density(x, p = p)\n",
        "plt.scatter(x, y)"
      ],
      "id": "f27466f4-7dbe-49da-a30f-353bf888daac"
    },
    {
      "cell_type": "code",
      "execution_count": 27,
      "metadata": {},
      "outputs": [],
      "source": [
        "N = 100000\n",
        "R = 10100\n",
        "x = rng.binomial(1, p, size = (R, N))\n",
        "ndx = np.arange(1, N + 1)\n",
        "cm = np.cumsum(x, axis = 1) / ndx"
      ],
      "id": "131d49d2-fe47-42af-b6bb-5e4492b100e5"
    },
    {
      "cell_type": "code",
      "execution_count": 24,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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UTkRERCRSFE5EREQkUgo6nDQniwHIuO4At0RERET2KOhwsrukHICHjh03wC0RERGRPQo6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\nbfQTKFpOsAAAAABJRU5ErkJggg==\n"
          }
        }
      ],
      "source": [
        "plt.plot(cm.T);\n",
        "plt.axhline(p, color = \"black\", linestyle = \"--\");"
      ],
      "id": "33ae0372-0fdd-443d-be56-2f440532c0e0"
    },
    {
      "cell_type": "code",
      "execution_count": 29,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/plain": [
              "(10100, 100000)"
            ]
          }
        }
      ],
      "source": [
        "np.shape(cm)"
      ],
      "id": "42eab783-b142-46f1-962f-105575f41ae7"
    },
    {
      "cell_type": "code",
      "execution_count": 30,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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3b15jtwoAAAwVZlmWFeomgsHv98vtdquqqoq3kwzGfWCA0DqWkxrqFnCLud7f\n3/wtJAAAYBwCDAAAMA4BBgAAGIcAAwAAjEOAAQAAxiHAAAAA4xBgAACAcQgwAADAOAQYAABgHAIM\nAAAwDgEGAAAYhwADAACMQ4ABAADGIcAAAADjEGAAAIBxCDAAAMA4BBgAAGAcAgwAADAOAQYAABiH\nAAMAAIwTEeoGAABN1+2z8kLdQr0dy0kNdQu4CTgDAwAAjEOAAQAAxiHAAAAA4xBgAACAcQgwAADA\nOAQYAABgHAIMAAAwDgEGAAAYhwADAACMQ4ABAADGIcAAAADjEGAAAIBxCDAAAMA4BBgAAGAcAgwA\nADAOAQYAABiHAAMAAIxDgAEAAMYhwAAAAOMQYAAAgHEIMAAAwDgEGAAAYJyIUDeAm+P2WXmhbgEA\ngEbDGRgAAGAcAgwAADBOk34LacmSJVqwYIF8Pp/69eunxYsXa9CgQaFuCwDQhJn4lvmxnNRQt2Cc\nJnsGZtWqVcrIyNCLL76oL774Qv369VNKSooqKipC3RoAAAixJhtgfv3rX2vKlCn62c9+poSEBC1b\ntkxt2rTRu+++G+rWAABAiDXJt5AuXryooqIiZWVl2etatGihpKQkFRYWXvE51dXVqq6uth9XVVVJ\nkvx+f6P3d/eLGxp9nwCAW1cwfleZqu5rYVnWNeuaZID529/+psuXLysmJiZgfUxMjA4dOnTF52Rn\nZ+ull176zvr4+Pig9AgAQGNxvx7qDpqeM2fOyO12X3V7kwwwDZGVlaWMjAz7cW1trU6fPq2OHTsq\nLCysXvvy+/2Kj4/X8ePH5XK5GrvVJo/5mZ/5mZ/5mT9U81uWpTNnziguLu6adU0ywHTq1Enh4eEq\nLy8PWF9eXi6Px3PF5zidTjmdzoB1kZGRN9SHy+W6JX+A6zA/8zM/89+qmD+081/rzEudJnkRr8Ph\nUGJiogoKCux1tbW1KigokNfrDWFnAACgKWiSZ2AkKSMjQ5MmTdKAAQM0aNAgvf766zp37px+9rOf\nhbo1AAAQYk02wPz0pz/Vl19+qTlz5sjn86l///5av379dy7sDQan06kXX3zxO29J3SqYn/mZn/mZ\nn/mbujDr+z6nBAAA0MQ0yWtgAAAAroUAAwAAjEOAAQAAxiHAAAAA49wyAWbJkiW6/fbb1apVKw0e\nPFi7d+++au1bb72loUOHqkOHDurQoYOSkpKuWH/w4EGNHj1abrdbbdu21cCBA1VWVhbMMRqssec/\ne/as0tPT1blzZ7Vu3dr+g5tNVX3mX716tQYMGKDIyEi1bdtW/fv313/+538G1FiWpTlz5ig2Nlat\nW7dWUlKSDh8+HOwxGqwx56+pqVFmZqb69Omjtm3bKi4uThMnTtTJkydvxigN0tjf/2+aNm2awsLC\n9Prrrweh88YRjPmb6/HveuY36fhXn9m/aeXKlQoLC9MjjzwSsL5JHfusW8DKlSsth8Nhvfvuu9b+\n/futKVOmWJGRkVZ5efkV65944glryZIl1v/8z/9YBw8etJ566inL7XZbJ06csGuOHDliRUVFWTNn\nzrS++OIL68iRI9aHH3541X2GUjDmnzJlinXnnXdaW7ZssUpLS61///d/t8LDw60PP/zwZo113eo7\n/5YtW6zVq1dbBw4csI4cOWK9/vrrVnh4uLV+/Xq7Jicnx3K73dbatWutP/3pT9bo0aOtbt26WefP\nn79ZY123xp6/srLSSkpKslatWmUdOnTIKiwstAYNGmQlJibezLGuWzC+/3VWr15t9evXz4qLi7MW\nLlwY5EkaJhjzN+fj3/XMb8rxr76z1yktLbV+8IMfWEOHDrXGjBkTsK0pHftuiQAzaNAgKy0tzX58\n+fJlKy4uzsrOzr6u51+6dMlq37699d5779nrfvrTn1pPPvlko/caDMGYv3fv3ta8efMC6u69917r\nhRdeaJymG9GNzm9ZlnXPPfdYs2fPtizLsmpray2Px2MtWLDA3l5ZWWk5nU7r97//feM13kgae/4r\n2b17tyXJ+utf/3pDvQZDsOY/ceKE9YMf/MDat2+f1bVr1yYbYIIx/610/LOs785vyvGvIbNfunTJ\n+uEPf2i9/fbb1qRJkwICTFM79jX7t5AuXryooqIiJSUl2etatGihpKQkFRYWXtc+/vGPf6impkZR\nUVGSvv6zBnl5ebrrrruUkpKi6OhoDR48WGvXrg3GCDckGPNL0g9/+EN99NFH+t///V9ZlqUtW7bo\nz3/+s5KTkxt9hhtxo/NblqWCggKVlJRo2LBhkqTS0lL5fL6Afbrdbg0ePPi6v6Y3SzDmv5KqqiqF\nhYXd8N8fa2zBmr+2tlYTJkzQzJkz1bt376D03hiCMf+tdPy72vffhONfQ2efN2+eoqOjNXny5O9s\na2rHvmYfYP72t7/p8uXL37mDb0xMjHw+33XtIzMzU3FxcfY3raKiQmfPnlVOTo5GjhypjRs36p/+\n6Z/06KOPatu2bY0+w40IxvyStHjxYiUkJKhz585yOBwaOXKklixZcs1fcqHQ0PmrqqrUrl07ORwO\npaamavHixfrJT34iSfbzbuRrerMEY/5vu3DhgjIzM/X44483uT9+F6z5f/WrXykiIkL/8i//ErTe\nG0Mw5r8Vjn/f9/034fjXkNk//fRTvfPOO3rrrbeuuL2pHfua7J8SaCpycnK0cuVKbd26Va1atZL0\n9f+BSNKYMWM0Y8YMSVL//v21Y8cOLVu2TPfff3/I+m1sV5pf+vo/4J07d+qjjz5S165dtX37dqWl\npX0n6Jiqffv2Ki4u1tmzZ1VQUKCMjAzdcccdGj58eKhbuymud/6amhr98z//syzL0tKlS0PTbBBc\na/6ioiItWrRIX3zxhcLCwkLdalBca/5b4fj3fT//zfH4d+bMGU2YMEFvvfWWOnXqFOp2rkuzDzCd\nOnVSeHi4ysvLA9aXl5fL4/Fc87mvvvqqcnJytGnTJvXt2zdgnxEREUpISAio79Wrlz799NPGa74R\nBGP+8+fP65e//KXWrFmj1NRUSVLfvn1VXFysV199tUn9B9zQ+Vu0aKHu3btL+vrgfPDgQWVnZ2v4\n8OH288rLyxUbGxuwz/79+zf+EDcgGPPXqQsvf/3rX7V58+Ymd/ZFCs78n3zyiSoqKtSlSxe7/vLl\ny3ruuef0+uuv69ixY0GZpSGCMf+tcPy71vymHP/qO/vRo0d17NgxPfzww/a6urAaERGhkpKSJnfs\na/ZvITkcDiUmJqqgoMBeV1tbq4KCAnm93qs+b/78+Xr55Ze1fv16DRgw4Dv7HDhwoEpKSgLW//nP\nf1bXrl0bd4AbFIz5a2pqVFNToxYtAn98wsPD7R/4pqKh839bbW2tqqurJUndunWTx+MJ2Kff79eu\nXbvqtc+bIRjzS/8fXg4fPqxNmzapY8eOjdp3YwnG/BMmTNCePXtUXFxsL3FxcZo5c6Y2bNjQ6DPc\niGDMfysc/77tm/Obcvyr7+w9e/bU3r17A36uR48erQceeEDFxcWKj49vese+m37ZcAisXLnScjqd\nVm5urnXgwAFr6tSpVmRkpOXz+SzLsqwJEyZYs2bNsutzcnIsh8Nh/fd//7d16tQpezlz5oxds3r1\naqtly5bWm2++aR0+fNhavHixFR4ebn3yySc3fb7vE4z577//fqt3797Wli1brL/85S/W7373O6tV\nq1bWG2+8cdPn+z71nf+VV16xNm7caB09etQ6cOCA9eqrr1oRERHWW2+9Zdfk5ORYkZGR1ocffmjt\n2bPHGjNmTJP+GHVjzn/x4kVr9OjRVufOna3i4uKAn5Hq6uqQzHgtwfj+f1tT/hRSMOZvzse/65nf\nlONffWf/tm9/Csmymtax75YIMJZlWYsXL7a6dOliORwOa9CgQdbOnTvtbffff781adIk+3HXrl0t\nSd9ZXnzxxYB9vvPOO1b37t2tVq1aWf369bPWrl17k6apv8ae/9SpU9ZTTz1lxcXFWa1atbJ69Ohh\nvfbaa1Ztbe1NnOr61Wf+F154wf6+dujQwfJ6vdbKlSsD9ldbW2v967/+qxUTE2M5nU5rxIgRVklJ\nyc0ap94ac/7S0tIr/nxIsrZs2XITp7p+jf39/7amHGAsKzjzN9fj3/XMb9Lxrz6zf9uVAkxTOvaF\nWZZl3fzzPgAAAA3X7K+BAQAAzQ8BBgAAGIcAAwAAjEOAAQAAxiHAAAAA4xBgAACAcQgwAADAOAQY\nAABgHAIMAAAwDgEGAAAYhwADAACMQ4ABAADG+T+n7fwxmztzGwAAAABJRU5ErkJggg==\n"
          }
        }
      ],
      "source": [
        "plt.hist(cm[:, 800]);"
      ],
      "id": "98d8436b-1457-4c39-916d-a7684f29de4b"
    }
  ],
  "nbformat": 4,
  "nbformat_minor": 5,
  "metadata": {
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3 (ipykernel)",
      "language": "python"
    },
    "language_info": {
      "name": "python",
      "codemirror_mode": {
        "name": "ipython",
        "version": "3"
      },
      "file_extension": ".py",
      "mimetype": "text/x-python",
      "nbconvert_exporter": "python",
      "pygments_lexer": "ipython3",
      "version": "3.12.12"
    }
  }
}