matplotlib.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "a1e3d96e-20d8-4b5d-9131-1e78fb77c128",
   "metadata": {
    "editable": true,
    "slideshow": {
     "slide_type": ""
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "e9f45f29-01cd-400a-8a2c-9cf8fbbb9137",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x7f2d442ded10>]"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "data = np.arange(10)\n",
    "                                      \n",
    "plt.plot(data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "5ede1a2e-c31e-46b4-89a6-9e1fb7f8acc2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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AxocJTjZnZWUpLS1NoVBowHooFFJOTs5Zzz7xxBPasGGD3n33XV1zzTVn3et2u+V2u51EAzCGJWJ2MDeA8cHRFReXy6XCwkK1tLTE1qLRqFpaWlRcXDzsuY0bN2rdunVqbm5WUVHRyNMCsBKzA0C8OLriIkmBQEAVFRUqKirSvHnzVF9fr56eHlVWVkqSysvLlZeXp7q6OknS7373O61Zs0Yvv/yy8vPzY89nX3zxxbr44ovj+KsAGMuYHQDiwXFxKSsr09GjR7VmzRoFg0EVFBSoubk59qK7zs5OpaZ+eyHnmWeeUV9fn37+858P+Dm1tbV6+OGHzy89AGswOwDEg+PPcUkGPo8BSC4bH4M2ZgYuNEn/HBcAAIBkorgAAABrUFwAAIA1KC4AAMAaFBcAAGANigsAALAGxQUAAFiD4gIAAKxBcQEAANaguAAAAGtQXAAAgDUoLgAAwBoUFwAAYA2KCwAAsAbFBQAAWIPiAgAArEFxAQAA1qC4AAAAa1BcAACANSguAADAGhQXAABgDYoLAACwBsUFAABYY0TFpaGhQfn5+UpPT5fP59Pu3bvPuv/VV1/VzJkzlZ6ertmzZ6upqWlEYQHYjdkB4Hw5Li7btm1TIBBQbW2t9uzZozlz5qikpERHjhwZcv+HH36o2267TXfccYf27t2rxYsXa/Hixfr444/POzwAezA7AMRDijHGODng8/k0d+5cbd68WZIUjUbl9Xq1bNkyVVdXD9pfVlamnp4evfXWW7G1H//4xyooKNCWLVvO6T4jkYgyMzMVDoeVkZHhJC6AOIjHYzDRs4O5ASTfaDwOJzjZ3NfXp7a2NtXU1MTWUlNT5ff71draOuSZ1tZWBQKBAWslJSV64403hr2f3t5e9fb2xv4cDoclffMvAEDinX7sOfx7TkwiZgdzAxh7znd2DMVRcenu7lZ/f788Hs+AdY/Ho/379w95JhgMDrk/GAwOez91dXVau3btoHWv1+skLoA4++c//6nMzEzH5xIxO5gbwNg10tkxFEfFJVFqamoG/E3r2LFjuuyyy9TZ2Rm3X3y0RSIReb1edXV1WXOZmsyJYWPmcDisSy+9VJdcckmyowyLuZEcNmaW7MxtY+bRmB2OiktWVpbS0tIUCoUGrIdCIeXk5Ax5Jicnx9F+SXK73XK73YPWMzMzrfmPdVpGRgaZE4DMiZGaOrJPUEjE7GBuJJeNmSU7c9uYeaSzY8if5WSzy+VSYWGhWlpaYmvRaFQtLS0qLi4e8kxxcfGA/ZL0zjvvDLsfwIWH2QEgXhw/VRQIBFRRUaGioiLNmzdP9fX16unpUWVlpSSpvLxceXl5qqurkyTdf//9WrRokZ588kndfPPNamxs1F//+lc9++yz8f1NAIxpzA4A8eC4uJSVleno0aNas2aNgsGgCgoK1NzcHHsRXWdn54BLQvPnz9fLL7+sVatW6aGHHtIPf/hDvfHGG5o1a9Y536fb7VZtbe2Ql4HHKjInBpkTIx6ZEz07xuu/50SzMbNkZ24yf8Px57gAAAAkC99VBAAArEFxAQAA1qC4AAAAa1BcAACANcZMcbHx6+6dZN66dasWLlyoqVOnaurUqfL7/d/5O44Gp/+eT2tsbFRKSooWL148ugGH4DTzsWPHVFVVpdzcXLndbl1xxRUJ///Daeb6+npdeeWVmjRpkrxer5YvX66vv/46QWml999/X6WlpZo2bZpSUlLO+l1ip+3cuVPXXXed3G63Lr/8cr3wwgujnvNMzI3EYG4kjk2zI2lzw4wBjY2NxuVymeeff9787W9/M3fddZeZMmWKCYVCQ+7/4IMPTFpamtm4caP55JNPzKpVq8zEiRPNRx99NGYzL1myxDQ0NJi9e/eaffv2mV/+8pcmMzPT/P3vfx+zmU87dOiQycvLMwsXLjQ/+9nPEhP2/3Oaube31xQVFZmbbrrJ7Nq1yxw6dMjs3LnTtLe3j9nML730knG73eall14yhw4dMm+//bbJzc01y5cvT1jmpqYms3LlSvP6668bSWb79u1n3d/R0WEuuugiEwgEzCeffGKeeuopk5aWZpqbmxMT2DA3xmrm05gbo5872bMjWXNjTBSXefPmmaqqqtif+/v7zbRp00xdXd2Q+2+99VZz8803D1jz+XzmV7/61ajm/E9OM5/p1KlTZvLkyebFF18crYiDjCTzqVOnzPz5883vf/97U1FRkfAB5DTzM888Y6ZPn276+voSFXEQp5mrqqrMT37ykwFrgUDALFiwYFRzDudcBtCDDz5orr766gFrZWVlpqSkZBSTDcTcSAzmRuLYPDsSOTeS/lTR6a+79/v9sbVz+br7/9wvffN198Ptj7eRZD7TiRMndPLkyYR9ad1IMz/yyCPKzs7WHXfckYiYA4wk85tvvqni4mJVVVXJ4/Fo1qxZWr9+vfr7+8ds5vnz56utrS12Sbijo0NNTU266aabEpJ5JGx8DNqY+UzMje9m49yQxsfsiNdjMOnfDp2Ir7uPt5FkPtOKFSs0bdq0Qf8RR8tIMu/atUvPPfec2tvbE5BwsJFk7ujo0J///Gfdfvvtampq0sGDB3Xffffp5MmTqq2tHZOZlyxZou7ubl1//fUyxujUqVO655579NBDD4163pEa7jEYiUT01VdfadKkSaN6/8wN5sZwbJwb0viYHfGaG0m/4jIebdiwQY2Njdq+fbvS09OTHWdIx48f19KlS7V161ZlZWUlO845i0ajys7O1rPPPqvCwkKVlZVp5cqV2rJlS7KjDWvnzp1av369nn76ae3Zs0evv/66duzYoXXr1iU7GsYQ5sbosXFuSON3diT9iksivu4+3kaS+bQnnnhCGzZs0LvvvqtrrrlmNGMO4DTzZ599psOHD6u0tDS2Fo1GJUkTJkzQgQMHNGPGjDGVWZJyc3M1ceJEpaWlxdauuuoqBYNB9fX1yeVyjbnMq1ev1tKlS3XnnXdKkmbPnq2enh7dfffdWrlyZVy/Dj5ehnsMZmRkjPrVFom5kSjMjcTMDWl8zI54zY2k/1Y2ft39SDJL0saNG7Vu3To1NzerqKgoEVFjnGaeOXOmPvroI7W3t8dut9xyi2644Qa1t7fL6/WOucyStGDBAh08eDA2LCXp008/VW5ubkKGz0gynzhxYtCAOT1AzRj9KjEbH4M2ZpaYG6OdWUr+3JDGx+yI22PQ0Ut5R0ljY6Nxu93mhRdeMJ988om5++67zZQpU0wwGDTGGLN06VJTXV0d2//BBx+YCRMmmCeeeMLs27fP1NbWJuVtjU4yb9iwwbhcLvPaa6+Zf/zjH7Hb8ePHx2zmMyXj3QFOM3d2dprJkyebX//61+bAgQPmrbfeMtnZ2ebRRx8ds5lra2vN5MmTzR//+EfT0dFh/vSnP5kZM2aYW2+9NWGZjx8/bvbu3Wv27t1rJJlNmzaZvXv3ms8//9wYY0x1dbVZunRpbP/ptzX+9re/Nfv27TMNDQ1JeTs0c2PsZT4Tc2P0cid7diRrboyJ4mKMMU899ZS59NJLjcvlMvPmzTN/+ctfYv9s0aJFpqKiYsD+V155xVxxxRXG5XKZq6++2uzYsSPBiZ1lvuyyy4ykQbfa2toxm/lMyRhAxjjP/OGHHxqfz2fcbreZPn26eeyxx8ypU6fGbOaTJ0+ahx9+2MyYMcOkp6cbr9dr7rvvPvOvf/0rYXnfe++9If//PJ2zoqLCLFq0aNCZgoIC43K5zPTp080f/vCHhOU9jbkx9jKfibnhjE2zI1lzI8WYMXg9CQAAYAhJf40LAADAuaK4AAAAa1BcAACANSguAADAGhQXAABgDYoLAACwBsUFAABYg+ICAACs4bi4vP/++yotLdW0adOUkpKiN9544zvP7Ny5U9ddd53cbrcuv/xyvfDCCyOICgAAxjvHxaWnp0dz5sxRQ0PDOe0/dOiQbr755tiXbD3wwAO688479fbbbzsOCwAAxrfz+sj/lJQUbd++XYsXLx52z4oVK7Rjxw59/PHHsbVf/OIXOnbsmJqbm4c809vbq97e3tifo9GovvzyS33ve99TSkrKSOMCGCFjjI4fP65p06YN+jZaAEikCaN9B62trfL7/QPWSkpK9MADDwx7pq6uTmvXrh3lZACc6urq0g9+8INkxwAwjo16cQkGg/J4PAPWPB6PIpGIvvrqK02aNGnQmZqaGgUCgdifw+GwLr30UnV1dSkjI2O0IwM4QyQSkdfr1eTJk5MdBcA4N+rFZSTcbrfcbveg9YyMDIoLkEQ8VQsg2Ub9yeqcnByFQqEBa6FQSBkZGUNebQEAABjOqBeX4uJitbS0DFh75513VFxcPNp3DQAALjCOi8u///1vtbe3q729XdI3b3dub29XZ2enpG9en1JeXh7bf88996ijo0MPPvig9u/fr6efflqvvPKKli9fHp/fAAAAjBuOi8tf//pXXXvttbr22mslSYFAQNdee63WrFkjSfrHP/4RKzGS9F//9V/asWOH3nnnHc2ZM0dPPvmkfv/736ukpCROvwIAABgvzutzXBIlEokoMzNT4XCYF+cCScBjEMBYwSdJAQAAa1BcAACANSguAADAGhQXAABgDYoLAACwBsUFAABYg+ICAACsQXEBAADWoLgAAABrUFwAAIA1KC4AAMAaFBcAAGANigsAALAGxQUAAFiD4gIAAKxBcQEAANaguAAAAGtQXAAAgDUoLgAAwBoUFwAAYA2KCwAAsAbFBQAAWGNExaWhoUH5+flKT0+Xz+fT7t27z7q/vr5eV155pSZNmiSv16vly5fr66+/HlFgAAAwfjkuLtu2bVMgEFBtba327NmjOXPmqKSkREeOHBly/8svv6zq6mrV1tZq3759eu6557Rt2zY99NBD5x0eAACML46Ly6ZNm3TXXXepsrJSP/rRj7RlyxZddNFFev7554fc/+GHH2rBggVasmSJ8vPzdeONN+q22277zqs0AAAAZ3JUXPr6+tTW1ia/3//tD0hNld/vV2tr65Bn5s+fr7a2tlhR6ejoUFNTk2666aZh76e3t1eRSGTADQAAYIKTzd3d3erv75fH4xmw7vF4tH///iHPLFmyRN3d3br++utljNGpU6d0zz33nPWporq6Oq1du9ZJNAAAMA6M+ruKdu7cqfXr1+vpp5/Wnj179Prrr2vHjh1at27dsGdqamoUDodjt66urtGOCQAALODoiktWVpbS0tIUCoUGrIdCIeXk5Ax5ZvXq1Vq6dKnuvPNOSdLs2bPV09Oju+++WytXrlRq6uDu5Ha75Xa7nUQDAADjgKMrLi6XS4WFhWppaYmtRaNRtbS0qLi4eMgzJ06cGFRO0tLSJEnGGKd5AQDAOOboioskBQIBVVRUqKioSPPmzVN9fb16enpUWVkpSSovL1deXp7q6uokSaWlpdq0aZOuvfZa+Xw+HTx4UKtXr1ZpaWmswAAAAJwLx8WlrKxMR48e1Zo1axQMBlVQUKDm5ubYC3Y7OzsHXGFZtWqVUlJStGrVKn3xxRf6/ve/r9LSUj322GPx+y0AAMC4kGIseL4mEokoMzNT4XBYGRkZyY4DjDs8BgGMFXxXEQAAsAbFBQAAWIPiAgAArEFxAQAA1qC4AAAAa1BcAACANSguAADAGhQXAABgDYoLAACwBsUFAABYg+ICAACsQXEBAADWoLgAAABrUFwAAIA1KC4AAMAaFBcAAGANigsAALAGxQUAAFiD4gIAAKxBcQEAANaguAAAAGtQXAAAgDUoLgAAwBojKi4NDQ3Kz89Xenq6fD6fdu/efdb9x44dU1VVlXJzc+V2u3XFFVeoqalpRIEBAMD4NcHpgW3btikQCGjLli3y+Xyqr69XSUmJDhw4oOzs7EH7+/r69NOf/lTZ2dl67bXXlJeXp88//1xTpkyJR34AADCOpBhjjJMDPp9Pc+fO1ebNmyVJ0WhUXq9Xy5YtU3V19aD9W7Zs0eOPP679+/dr4sSJ53Qfvb296u3tjf05EonI6/UqHA4rIyPDSVwAcRCJRJSZmcljEEDSOXqqqK+vT21tbfL7/d/+gNRU+f1+tba2DnnmzTffVHFxsaqqquTxeDRr1iytX79e/f39w95PXV2dMjMzYzev1+skJgAAuEA5Ki7d3d3q7++Xx+MZsO7xeBQMBoc809HRoddee039/f1qamrS6tWr9eSTT+rRRx8d9n5qamoUDodjt66uLicxAQDABcrxa1ycikajys7O1rPPPqu0tDQVFhbqiy++0OOPP67a2tohz7jdbrnd7tGOBgAALOOouGRlZSktLU2hUGjAeigUUk5OzpBncnNzNXHiRKWlpcXWrrrqKgWDQfX19cnlco0gNgAAGI8cPVXkcrlUWFiolpaW2Fo0GlVLS4uKi4uHPLNgwQIdPHhQ0Wg0tvbpp58qNzeX0gIAABxx/DkugUBAW7du1Ysvvqh9+/bp3nvvVU9PjyorKyVJ5eXlqqmpie2/99579eWXX+r+++/Xp59+qh07dmj9+vWqqqqK328BAADGBcevcSkrK9PRo0e1Zs0aBYNBFRQUqLm5OfaC3c7OTqWmftuHvF6v3n77bS1fvlzXXHON8vLydP/992vFihXx+y0AAMC44PhzXJKBz5AAkovHIICxgu8qAgAA1qC4AAAAa1BcAACANSguAADAGhQXAABgDYoLAACwBsUFAABYg+ICAACsQXEBAADWoLgAAABrUFwAAIA1KC4AAMAaFBcAAGANigsAALAGxQUAAFiD4gIAAKxBcQEAANaguAAAAGtQXAAAgDUoLgAAwBoUFwAAYA2KCwAAsMaIiktDQ4Py8/OVnp4un8+n3bt3n9O5xsZGpaSkaPHixSO5WwAAMM45Li7btm1TIBBQbW2t9uzZozlz5qikpERHjhw567nDhw/rN7/5jRYuXDjisAAAYHxzXFw2bdqku+66S5WVlfrRj36kLVu26KKLLtLzzz8/7Jn+/n7dfvvtWrt2raZPn35egQEAwPjlqLj09fWpra1Nfr//2x+Qmiq/36/W1tZhzz3yyCPKzs7WHXfccU7309vbq0gkMuAGAADgqLh0d3erv79fHo9nwLrH41EwGBzyzK5du/Tcc89p69at53w/dXV1yszMjN28Xq+TmAAA4AI1qu8qOn78uJYuXaqtW7cqKyvrnM/V1NQoHA7Hbl1dXaOYEgAA2GKCk81ZWVlKS0tTKBQasB4KhZSTkzNo/2effabDhw+rtLQ0thaNRr+54wkTdODAAc2YMWPQObfbLbfb7SQaAAAYBxxdcXG5XCosLFRLS0tsLRqNqqWlRcXFxYP2z5w5Ux999JHa29tjt1tuuUU33HCD2tvbeQoIAAA44uiKiyQFAgFVVFSoqKhI8+bNU319vXp6elRZWSlJKi8vV15enurq6pSenq5Zs2YNOD9lyhRJGrQOAADwXRwXl7KyMh09elRr1qxRMBhUQUGBmpubYy/Y7ezsVGoqH8gLAADiL8UYY5Id4rtEIhFlZmYqHA4rIyMj2XGAcYfHIICxgksjAADAGhQXAABgDYoLAACwBsUFAABYg+ICAACsQXEBAADWoLgAAABrUFwAAIA1KC4AAMAaFBcAAGANigsAALAGxQUAAFiD4gIAAKxBcQEAANaguAAAAGtQXAAAgDUoLgAAwBoUFwAAYA2KCwAAsAbFBQAAWIPiAgAArEFxAQAA1qC4AAAAa4youDQ0NCg/P1/p6eny+XzavXv3sHu3bt2qhQsXaurUqZo6dar8fv9Z9wMAAAzHcXHZtm2bAoGAamtrtWfPHs2ZM0clJSU6cuTIkPt37typ2267Te+9955aW1vl9Xp144036osvvjjv8AAAYHxJMcYYJwd8Pp/mzp2rzZs3S5Ki0ai8Xq+WLVum6urq7zzf39+vqVOnavPmzSovLz+n+4xEIsrMzFQ4HFZGRoaTuADigMcggLHC0RWXvr4+tbW1ye/3f/sDUlPl9/vV2tp6Tj/jxIkTOnnypC655JJh9/T29ioSiQy4AQAAOCou3d3d6u/vl8fjGbDu8XgUDAbP6WesWLFC06ZNG1B+zlRXV6fMzMzYzev1OokJAAAuUAl9V9GGDRvU2Nio7du3Kz09fdh9NTU1CofDsVtXV1cCUwIAgLFqgpPNWVlZSktLUygUGrAeCoWUk5Nz1rNPPPGENmzYoHfffVfXXHPNWfe63W653W4n0QAAwDjg6IqLy+VSYWGhWlpaYmvRaFQtLS0qLi4e9tzGjRu1bt06NTc3q6ioaORpAQDAuOboioskBQIBVVRUqKioSPPmzVN9fb16enpUWVkpSSovL1deXp7q6uokSb/73e+0Zs0avfzyy8rPz4+9Fubiiy/WxRdfHMdfBQAAXOgcF5eysjIdPXpUa9asUTAYVEFBgZqbm2Mv2O3s7FRq6rcXcp555hn19fXp5z//+YCfU1tbq4cffvj80gMAgHHF8ee4JAOfIQEkF49BAGMF31UEAACsQXEBAADWoLgAAABrUFwAAIA1KC4AAMAaFBcAAGANigsAALAGxQUAAFiD4gIAAKxBcQEAANaguAAAAGtQXAAAgDUoLgAAwBoUFwAAYA2KCwAAsAbFBQAAWIPiAgAArEFxAQAA1qC4AAAAa1BcAACANSguAADAGhQXAABgDYoLAACwxoiKS0NDg/Lz85Weni6fz6fdu3efdf+rr76qmTNnKj09XbNnz1ZTU9OIwgIAgPHNcXHZtm2bAoGAamtrtWfPHs2ZM0clJSU6cuTIkPs//PBD3Xbbbbrjjju0d+9eLV68WIsXL9bHH3983uEBAMD4kmKMMU4O+Hw+zZ07V5s3b5YkRaNReb1eLVu2TNXV1YP2l5WVqaenR2+99VZs7cc//rEKCgq0ZcuWIe+jt7dXvb29sT+Hw2Fdeuml6urqUkZGhpO4AOIgEonI6/Xq2LFjyszMTHYcAOPYBCeb+/r61NbWppqamthaamqq/H6/WltbhzzT2tqqQCAwYK2kpERvvPHGsPdTV1entWvXDlr3er1O4gKIs3/+858UFwBJ5ai4dHd3q7+/Xx6PZ8C6x+PR/v37hzwTDAaH3B8MBoe9n5qamgFl59ixY7rsssvU2dlpzdA8/TdUm64SkTkxbMx8+qrnJZdckuwoAMY5R8UlUdxut9xu96D1zMxMawb9aRkZGWROADInRmoqb0QEkFyOplBWVpbS0tIUCoUGrIdCIeXk5Ax5Jicnx9F+AACA4TgqLi6XS4WFhWppaYmtRaNRtbS0qLi4eMgzxcXFA/ZL0jvvvDPsfgAAgOE4fqooEAiooqJCRUVFmjdvnurr69XT06PKykpJUnl5ufLy8lRXVydJuv/++7Vo0SI9+eSTuvnmm9XY2Ki//vWvevbZZ8/5Pt1ut2pra4d8+misInNikDkxbMwM4MLk+O3QkrR582Y9/vjjCgaDKigo0P/+7//K5/NJkv77v/9b+fn5euGFF2L7X331Va1atUqHDx/WD3/4Q23cuFE33XRT3H4JAAAwPoyouAAAACQDbxEAAADWoLgAAABrUFwAAIA1KC4AAMAaY6a4NDQ0KD8/X+np6fL5fNq9e/dZ97/66quaOXOm0tPTNXv2bDU1NSUo6becZN66dasWLlyoqVOnaurUqfL7/d/5O44Gp/+eT2tsbFRKSooWL148ugGH4DTzsWPHVFVVpdzcXLndbl1xxRUJ///Daeb6+npdeeWVmjRpkrxer5YvX66vv/46QWml999/X6WlpZo2bZpSUlLO+l1ip+3cuVPXXXed3G63Lr/88gHvJASAUWPGgMbGRuNyuczzzz9v/va3v5m77rrLTJkyxYRCoSH3f/DBByYtLc1s3LjRfPLJJ2bVqlVm4sSJ5qOPPhqzmZcsWWIaGhrM3r17zb59+8wvf/lLk5mZaf7+97+P2cynHTp0yOTl5ZmFCxean/3sZ4kJ+/85zdzb22uKiorMTTfdZHbt2mUOHTpkdu7cadrb28ds5pdeesm43W7z0ksvmUOHDpm3337b5ObmmuXLlycsc1NTk1m5cqV5/fXXjSSzffv2s+7v6OgwF110kQkEAuaTTz4xTz31lElLSzPNzc2JCQxg3BoTxWXevHmmqqoq9uf+/n4zbdo0U1dXN+T+W2+91dx8880D1nw+n/nVr341qjn/k9PMZzp16pSZPHmyefHFF0cr4iAjyXzq1Ckzf/588/vf/95UVFQkvLg4zfzMM8+Y6dOnm76+vkRFHMRp5qqqKvOTn/xkwFogEDALFiwY1ZzDOZfi8uCDD5qrr756wFpZWZkpKSkZxWQAYEzSnyrq6+tTW1ub/H5/bC01NVV+v1+tra1DnmltbR2wX5JKSkqG3R9vI8l8phMnTujkyZMJ+7bdkWZ+5JFHlJ2drTvuuCMRMQcYSeY333xTxcXFqqqqksfj0axZs7R+/Xr19/eP2czz589XW1tb7Omkjo4ONTU1jekPaUz2YxDA+JX0b4fu7u5Wf3+/PB7PgHWPx6P9+/cPeSYYDA65PxgMjlrO/zSSzGdasWKFpk2bNmj4j5aRZN61a5eee+45tbe3JyDhYCPJ3NHRoT//+c+6/fbb1dTUpIMHD+q+++7TyZMnVVtbOyYzL1myRN3d3br++utljNGpU6d0zz336KGHHhr1vCM13GMwEonoq6++0qRJk5KUDMCFLulXXMajDRs2qLGxUdu3b1d6enqy4wzp+PHjWrp0qbZu3aqsrKxkxzln0WhU2dnZevbZZ1VYWKiysjKtXLlSW7ZsSXa0Ye3cuVPr16/X008/rT179uj111/Xjh07tG7dumRHA4AxJ+lXXLKyspSWlqZQKDRgPRQKKScnZ8gzOTk5jvbH20gyn/bEE09ow4YNevfdd3XNNdeMZswBnGb+7LPPdPjwYZWWlsbWotGoJGnChAk6cOCAZsyYMaYyS1Jubq4mTpyotLS02NpVV12lYDCovr4+uVyuMZd59erVWrp0qe68805J0uzZs9XT06O7775bK1euVGrq2Pv7xXCPwYyMDK62ABhVSZ+ILpdLhYWFamlpia1Fo1G1tLSouLh4yDPFxcUD9kvSO++8M+z+eBtJZknauHGj1q1bp+bmZhUVFSUiaozTzDNnztRHH32k9vb22O2WW27RDTfcoPb2dnm93jGXWZIWLFiggwcPxkqWJH366afKzc0d9dIy0swnTpwYVE5OFy8zRr9KLNmPQQDjWLJfHWzMN28fdbvd5oUXXjCffPKJufvuu82UKVNMMBg0xhizdOlSU11dHdv/wQcfmAkTJpgnnnjC7Nu3z9TW1ibl7dBOMm/YsMG4XC7z2muvmX/84x+x2/Hjx8ds5jMl411FTjN3dnaayZMnm1//+tfmwIED5q233jLZ2dnm0UcfHbOZa2trzeTJk80f//hH09HRYf70pz+ZGTNmmFtvvTVhmY8fP2727t1r9u7daySZTZs2mb1795rPP//cGGNMdXW1Wbp0aWz/6bdD//a3vzX79u0zDQ0NvB0aQEKMieJijDFPPfWUufTSS43L5TLz5s0zf/nLX2L/bNGiRaaiomLA/ldeecVcccUVxuVymauvvtrs2LEjwYmdZb7sssuMpEG32traMZv5TMkoLsY4z/zhhx8an89n3G63mT59unnsscfMqVOnxmzmkydPmocfftjMmDHDpKenG6/Xa+677z7zr3/9K2F533vvvSH//zyds6KiwixatGjQmYKCAuNyucz06dPNH/7wh4TlBTB+pRgzRq9FAwAAnCHpr3EBAAA4VxQXAABgDYoLAACwBsUFAABYg+ICAACsQXEBAADWoLgAAABrUFwAAIA1KC4AAMAaFBcAAGANigsAALDG/wMVrVRZo79rTAAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 640x480 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "ax1 = fig.add_subplot(2, 2, 1)\n",
    "ax2 = fig.add_subplot(2, 2, 2)\n",
    "ax3 = fig.add_subplot(2, 2, 3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "0107db1a-71fc-450d-8725-e91f68e1ddce",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 3 Axes>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ax3.plot(np.random.standard_normal(50).cumsum(), color=\"black\", linestyle=\"dashed\")\n",
    "fig"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "15db500c-5428-4d34-9c32-f8a5eee2915b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 3 Axes>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ax1.hist(np.random.standard_normal(100), bins=20, color=\"black\", alpha=0.3)\n",
    "ax2.scatter(np.arange(30), np.arange(30) + 3 * np.random.standard_normal(30))\n",
    "fig"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "b004197b-2672-453c-b51a-831674decb03",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[<Axes: >, <Axes: >, <Axes: >],\n",
       "       [<Axes: >, <Axes: >, <Axes: >]], dtype=object)"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(2, 3)\n",
    "axes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "3e021915-e884-4dd3-9e39-9a5c35899e38",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(2, 2, sharex=True, sharey=True)\n",
    "for i in range(2):\n",
    "    for j in range(2):\n",
    "        axes[i, j].hist(np.random.standard_normal(500), bins=50,\n",
    "                        color=\"black\", alpha=0.5)\n",
    "fig.subplots_adjust(wspace=0, hspace=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "67a1aa9b-e485-4016-b89b-176e6fc03357",
   "metadata": {
    "editable": true,
    "slideshow": {
     "slide_type": ""
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: >"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axis = plt.subplots()\n",
    "axis.hist(np.random.standard_normal(50000000), bins=50, color=\"black\", alpha=0.5)\n",
    "axis"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "39c783a8-8155-46cb-9fb8-efff178a64e6",
   "metadata": {},
   "outputs": [],
   "source": [
    "#plt.Text?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "7a3da12f-f1f6-4366-9aab-4f32312d7503",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: >"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axis = plt.subplots()\n",
    "axis.hist(np.random.exponential(size=50000000), bins=50)\n",
    "axis"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "8fa4cdca-db88-43de-9959-472d5ab67321",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.58966155, 0.35465821, 0.67997394, ..., 0.57473653, 2.99962131,\n",
       "       0.40137078])"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.random.exponential(size=50000000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "0ae0be16-6a6f-408d-ad5c-45520d831fcd",
   "metadata": {
    "editable": true,
    "slideshow": {
     "slide_type": ""
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: title={'center': 'Population'}>"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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4mRYHlNzcXH3xxRfasmWLR/vjjz/ufj1w4ED16NFDo0eP1oEDB9SnT58WHaugoED5+fnudZfLpcTExJYVDgAAjNeiSzx5eXlat26dPvnkE/Xs2fOyfdPS0iRJ+/fvlyTZ7XZVVVV59Dm/3ty8lfDwcNlsNo8FAAAELq8CimVZysvLU3FxsTZu3KiUlJQrvqeyslKS1KNHD0mSw+HQrl27VF1d7e5TUlIim82m1NRUb8oBAAAByqtLPLm5uSoqKtJ7772nbt26ueeMREVFKTIyUgcOHFBRUZHuvvtuxcbG6vPPP9e0adN0++23a9CgQZKkMWPGKDU1VQ8++KAWLVokp9OpWbNmKTc3V+Hh4W1/hgAAwO94NYKyfPly1dbWatSoUerRo4d7WbNmjSQpLCxMH3/8scaMGaN+/frp6aefVnZ2ttauXeveR0hIiNatW6eQkBA5HA797Gc/00MPPeTx3BQAANCxeTWCYlnWZbcnJiaqrKzsivvp1auX3n//fW8ODQAAOhB+iwcAABiHgAIAAIxDQAEAAMYhoLSD5Jnr+VVjAABagYACAACMQ0ABAADGIaAAAADjEFAAAIBxCCgAAMA4BBQAAGAcAgoAADAOAQUAABiHgAIAAIxDQAEAAMYhoAAAAOMQUAAAgHEIKAAAwDgEFAAAYBwCCgAAMA4BBQAAGIeAAgAAjENAAQAAxiGgAAAA4xBQAACAcQgoAADAOASUdpQ8c72vSwAAwC8RUAAAgHEIKAAAwDgEFAAAYBwCCgAAMA4BBQAAGIeAAgAAjENAAQAAxiGgAAAA4xBQAACAcQgoAADAOAQUAABgHAIKAAAwDgEFAAAYh4ACAACME+rrAjqS5Jnr3a8PLczyYSUAAJiNERQAAGAcrwJKYWGhbr75ZnXr1k1xcXEaP3689u7d69Hn9OnTys3NVWxsrLp27ars7GxVVVV59Dl8+LCysrLUuXNnxcXFafr06Tp37lzrz8bPXTjCAgBAR+ZVQCkrK1Nubq62bdumkpISnT17VmPGjFFdXZ27z7Rp07R27Vq9/fbbKisr09GjRzVhwgT39oaGBmVlZenMmTPaunWrVq9erVWrVmnOnDltd1YAAMCveTUHZcOGDR7rq1atUlxcnCoqKnT77bertrZWf/jDH1RUVKS77rpLkrRy5Ur1799f27Zt04gRI/TRRx9pz549+vjjjxUfH68hQ4ZowYIFmjFjhubNm6ewsLC2OzsAAOCXWjUHpba2VpIUExMjSaqoqNDZs2eVnp7u7tOvXz8lJSWpvLxcklReXq6BAwcqPj7e3ScjI0Mul0u7d+9u8jj19fVyuVweCwAACFwtDiiNjY2aOnWqRo4cqQEDBkiSnE6nwsLCFB0d7dE3Pj5eTqfT3efCcHJ++/ltTSksLFRUVJR7SUxMbGnZAADAD7Q4oOTm5uqLL77QW2+91Zb1NKmgoEC1tbXu5ciRI+1+TAAA4Dsteg5KXl6e1q1bp82bN6tnz57udrvdrjNnzqimpsZjFKWqqkp2u93dZ8eOHR77O3+Xz/k+FwsPD1d4eHhLSgUAAH7IqxEUy7KUl5en4uJibdy4USkpKR7bhw4dqk6dOqm0tNTdtnfvXh0+fFgOh0OS5HA4tGvXLlVXV7v7lJSUyGazKTU1tTXnAgAAAoRXIyi5ubkqKirSe++9p27durnnjERFRSkyMlJRUVGaMmWK8vPzFRMTI5vNpieffFIOh0MjRoyQJI0ZM0apqal68MEHtWjRIjmdTs2aNUu5ubmMkgAAAEleBpTly5dLkkaNGuXRvnLlSk2ePFmS9NJLLyk4OFjZ2dmqr69XRkaGXn75ZXffkJAQrVu3Tk888YQcDoe6dOminJwcPfvss607E8PxEDYAAK6eVwHFsqwr9omIiNCyZcu0bNmyZvv06tVL77//vjeHBgAAHQi/xQMAAIxDQAEAAMYhoAAAAOMQUAAAgHEIKAAAwDgEFAAAYBwCCgAAMA4BBQAAGIeAAgAAjENAAQAAxiGgGCZ55np+twcA0OERUHyEIAIAQPMIKAAAwDgEFB9jFAUAgEsRUAAAgHFCfV0AGEUBAOBijKAAAADjEFAAAIBxCCgAAMA4BBQAAGAcAgoAADAOAQUAABiHgAIAAIxDQAEAAMYhoAAAAOPwJNl2xlNiAQDwHiMoAADAOAQUAABgHAIKAAAwDgEFAAAYh4ACAACMQ0ABAADGIaAYituTAQAdGQEFAAAYh4ACAACMQ0ABAADGIaAAAADjEFAAAIBxCCh+Innmeu7sAQB0GAQUAABgHAIKAAAwDgEFAAAYh4ACAACM43VA2bx5s8aNG6eEhAQFBQXp3Xff9dg+efJkBQUFeSxjx4716HP8+HFNmjRJNptN0dHRmjJlik6ePNmqEwlkTI4FAHQ0XgeUuro6DR48WMuWLWu2z9ixY/XNN9+4lz/96U8e2ydNmqTdu3erpKRE69at0+bNm/X44497Xz0AAAhIod6+ITMzU5mZmZftEx4eLrvd3uS2L7/8Uhs2bNDOnTs1bNgwSdLSpUt1991367e//a0SEhK8LQkAAASYdpmDsmnTJsXFxemGG27QE088oW+//da9rby8XNHR0e5wIknp6ekKDg7W9u3bm9xffX29XC6XxwIAAAJXmweUsWPH6vXXX1dpaamef/55lZWVKTMzUw0NDZIkp9OpuLg4j/eEhoYqJiZGTqezyX0WFhYqKirKvSQmJrZ12QAAwCBeX+K5kokTJ7pfDxw4UIMGDVKfPn20adMmjR49ukX7LCgoUH5+vnvd5XIRUgAACGDtfptx7969de2112r//v2SJLvdrurqao8+586d0/Hjx5udtxIeHi6bzeaxAACAwNXuAeXvf/+7vv32W/Xo0UOS5HA4VFNTo4qKCnefjRs3qrGxUWlpae1dDgAA8ANeX+I5efKkezREkg4ePKjKykrFxMQoJiZG8+fPV3Z2tux2uw4cOKBf/vKXuu6665SRkSFJ6t+/v8aOHavHHntMK1as0NmzZ5WXl6eJEydyBw8AAJDUgoDy6aef6s4773Svn58bkpOTo+XLl+vzzz/X6tWrVVNTo4SEBI0ZM0YLFixQeHi4+z1vvvmm8vLyNHr0aAUHBys7O1tLlixpg9MJLDygDQDQUXkdUEaNGiXLsprd/uGHH15xHzExMSoqKvL20AAAoIPgt3gAAIBxCCgAAMA4BBQAAGAcAgoAADAOAQUAABiHgAIAAIxDQAEAAMYhoAAAAOMQUAAAgHEIKAAAwDgEFAAAYBwCCgAAMA4BBQAAGIeAEkCSZ65X8sz1vi4DAIBWI6AAAADjEFD8DCMkAICOgIACAACMQ0ABAADGIaAAAADjEFAAAIBxCCh+iNuJAQCBjoACAACMQ0AJUIyyAAD8GQEFAAAYh4ACAACMQ0DxY81dwuHSDgDA3xFQAACAcQgoAADAOAQUAABgHAIKAAAwDgEFAAAYh4ACAACMQ0ABAADGIaB0IDwfBQDgLwgoAADAOAQUAABgHAIKAAAwDgEFAAAYh4ACAACMQ0ABAADGIaAAAADjEFAAAIBxvA4omzdv1rhx45SQkKCgoCC9++67Htsty9KcOXPUo0cPRUZGKj09Xfv27fPoc/z4cU2aNEk2m03R0dGaMmWKTp482aoT6eh4CBsAIJB4HVDq6uo0ePBgLVu2rMntixYt0pIlS7RixQpt375dXbp0UUZGhk6fPu3uM2nSJO3evVslJSVat26dNm/erMcff7zlZ4HLSp65ngADAPArod6+ITMzU5mZmU1usyxLixcv1qxZs/STn/xEkvT6668rPj5e7777riZOnKgvv/xSGzZs0M6dOzVs2DBJ0tKlS3X33Xfrt7/9rRISElpxOmiJ5JnrdWhhlq/LAADArU3noBw8eFBOp1Pp6enutqioKKWlpam8vFySVF5erujoaHc4kaT09HQFBwdr+/btTe63vr5eLpfLY0HLMJoCAPAHXo+gXI7T6ZQkxcfHe7THx8e7tzmdTsXFxXkWERqqmJgYd5+LFRYWav78+W1ZasAgbAAAApFf3MVTUFCg2tpa93LkyBFflwQAANpRmwYUu90uSaqqqvJor6qqcm+z2+2qrq722H7u3DkdP37c3edi4eHhstlsHguuDiMsAAB/1KYBJSUlRXa7XaWlpe42l8ul7du3y+FwSJIcDodqampUUVHh7rNx40Y1NjYqLS2tLcsBAAB+yus5KCdPntT+/fvd6wcPHlRlZaViYmKUlJSkqVOn6le/+pWuv/56paSkaPbs2UpISND48eMlSf3799fYsWP12GOPacWKFTp79qzy8vI0ceJE7uABAACSWhBQPv30U915553u9fz8fElSTk6OVq1apV/+8peqq6vT448/rpqaGt16663asGGDIiIi3O958803lZeXp9GjRys4OFjZ2dlasmRJG5wOAAAIBEGWZVm+LsJbLpdLUVFRqq2tbZf5KB1h3saFzz3hOSgAgB+CN9/ffnEXDwAA6FgIKAAAwDgEFAAAYBwCCgAAMA4BBQAAGIeAAgAAjENAAQAAxmnTXzOGf+kIz3sBAPgnRlAAAIBxCCgAAMA4BBQAAGAcAgoAADAOAQUAABiHgNJBNXcHD3f2AABMQEABAADGIaAAAADjEFAAAIBxCCgAAMA4BBQAAGAcAgoAADAOPxaIq3bhLciHFmb5sBIAQKBjBAUAABiHERRI4gFtAACzMIKCSyTPXO8OLBe+BgDgh0JAAQAAxiGgoFUYXQEAtAcCCgAAMA4BBQAAGIeAAgAAjENAAQAAxiGgAAAA4/CgNrTIhXfvnH/N4+8BAG2FERQAAGAcAgoAADAOAQUAABiHgAIAAIxDQAEAAMYhoAAAAOMQUAAAgHEIKAAAwDgEFFyVCx/MdqV+V9sXAIDmEFAAAIBxCCgAAMA4bR5Q5s2bp6CgII+lX79+7u2nT59Wbm6uYmNj1bVrV2VnZ6uqqqqty4BBuOQDAPBWu4yg3Hjjjfrmm2/cy5YtW9zbpk2bprVr1+rtt99WWVmZjh49qgkTJrRHGQAAwE+1y68Zh4aGym63X9JeW1urP/zhDyoqKtJdd90lSVq5cqX69++vbdu2acSIEe1RDlqIkQ8AgK+0S0DZt2+fEhISFBERIYfDocLCQiUlJamiokJnz55Venq6u2+/fv2UlJSk8vLyZgNKfX296uvr3esul6s9ykYbItwAAFqjzS/xpKWladWqVdqwYYOWL1+ugwcP6rbbbtOJEyfkdDoVFham6Ohoj/fEx8fL6XQ2u8/CwkJFRUW5l8TExLYuG22AUAIAaCttPoKSmZnpfj1o0CClpaWpV69e+vOf/6zIyMgW7bOgoED5+fnudZfLRUgBACCAtfttxtHR0erbt6/2798vu92uM2fOqKamxqNPVVVVk3NWzgsPD5fNZvNYAABA4Gr3gHLy5EkdOHBAPXr00NChQ9WpUyeVlpa6t+/du1eHDx+Ww+Fo71IAAICfaPNLPL/4xS80btw49erVS0ePHtXcuXMVEhKiBx54QFFRUZoyZYry8/MVExMjm82mJ598Ug6Hgzt4AACAW5sHlL///e964IEH9O2336p79+669dZbtW3bNnXv3l2S9NJLLyk4OFjZ2dmqr69XRkaGXn755bYuAwAA+LEgy7IsXxfhLZfLpaioKNXW1rbLfBTuRml7hxZmSfL8bA8tzHKvn98OAAhc3nx/81s8AADAOO3yoDbgYk2NSl3tSBWjLADQ8TCCAgAAjENAAQAAxiGgAAAA4xBQAACAcQgoMMKFE2a5zRsAwF08MAbBBABwHiMoAADAOAQUGCl55npGVACgAyOgAAAA4xBQYLSrGUVhpAUAAg8BBX6DIAIAHQcBBQAAGIeAAgAAjENAAQAAxiGgoENg/goA+BcCCgIKQQQAAgMBBX6FB7gBQMdAQAEAAMbhxwIREJobVWmq/cK2Qwuz2q0mAEDLEVDgt7jUAwCBi4CCDsObx+YzsgIAvsUcFAQsRlgAwH8RUOCXTAkf3FUEAO2DSzwIOC0NDAQNADAHIyhAMxgdAQDfYQQFHRoBBADMxAgK0MYIPQDQegQUwEtc+gGA9kdAAZpAAAEA3yKgAG3Em5EVbx4aBwAdEZNkgR8QoQMArg4jKMAPhHACAFePgAIAAIxDQAFaqK3mkTCyAgCXYg4KYBgCCwAwggJclfZ49klr9nnhe1uyH0IQANMRUIAruPDLvL2/2JvbPz+ACKCj4RIPYICrCSbnXx9amPWD1NSc5JnrfV4DgMBHQAHawMUB44ccdbkSU4INAHiDSzyAn2ku/FwpCDFPBYA/8WlAWbZsmZKTkxUREaG0tDTt2LHDl+UAfq+1E2bPv/9qJ+ASYgC0F59d4lmzZo3y8/O1YsUKpaWlafHixcrIyNDevXsVFxfnq7IANKE1vzF0aGGWR3tbXGrydh4M82ZajkuE8BWfBZQXX3xRjz32mB5++GFJ0ooVK7R+/Xq99tprmjlzpq/KAgJaW90l5M3k3ebm51wuuDS3z6u5jHU1dXj7ZXs1X9JNndflamlqmz8FKYIL2ptPAsqZM2dUUVGhgoICd1twcLDS09NVXl5+Sf/6+nrV19e712trayVJLperXeprrD/VLvsFfihJ096+Yp/z//+01b/3qznm5fpf+P/z+Zou7PPF/AyPWi/edv5959vPt124v6aONWDuh5fUduF7L9ze1DEvPobL5fJ4ff79F9fT3Od1NX/XLtxnU/u/mv4Xa+6cm6vrwnNsjaup/8K+zfXzZj9XW1db7cvftPVneaHz/14sy7pyZ8sH/vGPf1iSrK1bt3q0T58+3Ro+fPgl/efOnWtJYmFhYWFhYQmA5ciRI1fMCn5xm3FBQYHy8/Pd642NjTp+/LhiY2MVFBTUpsdyuVxKTEzUkSNHZLPZ2nTfHRmfa/vhs20ffK7th8+2/Zj+2VqWpRMnTighIeGKfX0SUK699lqFhISoqqrKo72qqkp2u/2S/uHh4QoPD/doi46Obs8SZbPZjPyP6+/4XNsPn2374HNtP3y27cfkzzYqKuqq+vnkNuOwsDANHTpUpaWl7rbGxkaVlpbK4XD4oiQAAGAQn13iyc/PV05OjoYNG6bhw4dr8eLFqqurc9/VAwAAOi6fBZT7779fx44d05w5c+R0OjVkyBBt2LBB8fHxvipJ0veXk+bOnXvJJSW0Dp9r++GzbR98ru2Hz7b9BNJnG2RZV3OvDwAAwA+H3+IBAADGIaAAAADjEFAAAIBxCCgAAMA4BBQAAGAcAsoFli1bpuTkZEVERCgtLU07duzwdUl+r7CwUDfffLO6deumuLg4jR8/Xnv37vV1WQFn4cKFCgoK0tSpU31dSkD4xz/+oZ/97GeKjY1VZGSkBg4cqE8//dTXZfm9hoYGzZ49WykpKYqMjFSfPn20YMGCq/vhOLht3rxZ48aNU0JCgoKCgvTuu+96bLcsS3PmzFGPHj0UGRmp9PR07du3zzfFtgIB5f9bs2aN8vPzNXfuXH322WcaPHiwMjIyVF1d7evS/FpZWZlyc3O1bds2lZSU6OzZsxozZozq6up8XVrA2Llzp37/+99r0KBBvi4lIHz33XcaOXKkOnXqpA8++EB79uzRCy+8oGuuucbXpfm9559/XsuXL9fvfvc7ffnll3r++ee1aNEiLV261Nel+ZW6ujoNHjxYy5Yta3L7okWLtGTJEq1YsULbt29Xly5dlJGRodOnT//AlbZSW/w6cSAYPny4lZub615vaGiwEhISrMLCQh9WFXiqq6stSVZZWZmvSwkIJ06csK6//nqrpKTEuuOOO6ynnnrK1yX5vRkzZli33nqrr8sISFlZWdYjjzzi0TZhwgRr0qRJPqrI/0myiouL3euNjY2W3W63fvOb37jbampqrPDwcOtPf/qTDypsOUZQJJ05c0YVFRVKT093twUHBys9PV3l5eU+rCzw1NbWSpJiYmJ8XElgyM3NVVZWlse/XbTOf//3f2vYsGH66U9/qri4ON100036j//4D1+XFRBuueUWlZaW6uuvv5Yk/c///I+2bNmizMxMH1cWOA4ePCin0+nxNyEqKkppaWl+933ms0fdm+R///d/1dDQcMlj9uPj4/XVV1/5qKrA09jYqKlTp2rkyJEaMGCAr8vxe2+99ZY+++wz7dy509elBJS//vWvWr58ufLz8/XMM89o586d+td//VeFhYUpJyfH1+X5tZkzZ8rlcqlfv34KCQlRQ0ODfv3rX2vSpEm+Li1gOJ1OSWry++z8Nn9BQMEPJjc3V1988YW2bNni61L83pEjR/TUU0+ppKREERERvi4noDQ2NmrYsGF67rnnJEk33XSTvvjiC61YsYKA0kp//vOf9eabb6qoqEg33nijKisrNXXqVCUkJPDZ4hJc4pF07bXXKiQkRFVVVR7tVVVVstvtPqoqsOTl5WndunX65JNP1LNnT1+X4/cqKipUXV2tH/3oRwoNDVVoaKjKysq0ZMkShYaGqqGhwdcl+q0ePXooNTXVo61///46fPiwjyoKHNOnT9fMmTM1ceJEDRw4UA8++KCmTZumwsJCX5cWMM5/ZwXC9xkBRVJYWJiGDh2q0tJSd1tjY6NKS0vlcDh8WJn/syxLeXl5Ki4u1saNG5WSkuLrkgLC6NGjtWvXLlVWVrqXYcOGadKkSaqsrFRISIivS/RbI0eOvORW+K+//lq9evXyUUWB49SpUwoO9vzaCQkJUWNjo48qCjwpKSmy2+0e32cul0vbt2/3u+8zLvH8f/n5+crJydGwYcM0fPhwLV68WHV1dXr44Yd9XZpfy83NVVFRkd577z1169bNfQ00KipKkZGRPq7Of3Xr1u2SeTxdunRRbGws83taadq0abrlllv03HPP6Z/+6Z+0Y8cOvfLKK3rllVd8XZrfGzdunH79618rKSlJN954o/7yl7/oxRdf1COPPOLr0vzKyZMntX//fvf6wYMHVVlZqZiYGCUlJWnq1Kn61a9+peuvv14pKSmaPXu2EhISNH78eN8V3RK+vo3IJEuXLrWSkpKssLAwa/jw4da2bdt8XZLfk9TksnLlSl+XFnC4zbjtrF271howYIAVHh5u9evXz3rllVd8XVJAcLlc1lNPPWUlJSVZERERVu/eva1/+7d/s+rr631dml/55JNPmvy7mpOTY1nW97caz54924qPj7fCw8Ot0aNHW3v37vVt0S0QZFk8wg8AAJiFOSgAAMA4BBQAAGAcAgoAADAOAQUAABiHgAIAAIxDQAEAAMYhoAAAAOMQUAAAgHEIKAAAwDgEFAAAYBwCCgAAMM7/Az3c7iAj/0j0AAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from itertools import combinations\n",
    "\n",
    "population = np.random.exponential(size=10000)\n",
    "\n",
    "fig, axis = plt.subplots()\n",
    "axis.set_title(\"Population\")\n",
    "#ax.set_xticks([-10,-8,-6,-4,-2,0,2,4,6,8,10])\n",
    "axis.hist(population, bins=300)\n",
    "axis"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "02178972-a78e-4c01-b43d-6c2a68c707ae",
   "metadata": {},
   "source": [
    "C(n,r) = n! / (r! * (n-r)!)\n",
    "e.g. C(10000,20) = 10000! / (20! * (10000-20)!) = 10000! / (20! * 9980!)\n",
    "= ~2,745,184,200,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000, or about 2.75 sexdecillion, or ~2.75 × 10^53."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "37f7b851-248e-497e-a45c-e472470951e9",
   "metadata": {
    "editable": true,
    "slideshow": {
     "slide_type": ""
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "from itertools import combinations\n",
    "\n",
    "def four_million_sample_means(population, sample_size):\n",
    "    \"A true sample distribution of means is too large to calculate in class\"\n",
    "    return np.mean(np.random.choice(population, size=(4000000, sample_size)), axis=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "6fa4cbd9-4fde-4bea-b335-43bafc54d5db",
   "metadata": {
    "editable": true,
    "slideshow": {
     "slide_type": ""
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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atMmcDZKk8PBwHTt2zKX+/PnzOnHihMLDw82aiooKl5r615eraThev65nz54uNQMGDGiyb39/f/n7+7f0cAEAgIdq9Rmh+hB06NAh/eMf/1D37t1dxhMTE1VZWamysjJz3aZNm1RXV6eEhASzpri4WOfOnTNrCgsL1adPH3Xt2tWsKSoqctl2YWGhEhMTJUkxMTEKDw93qXE6nSotLTVrAACAtbU4CJ06dUp79uzRnj17JH11UfKePXt05MgRnTt3Tnfffbd27typV199VbW1tXI4HHI4HDp79qwkqV+/frrjjjs0fvx4bd++XVu3blVmZqbGjBmjiIgISdK9994rPz8/paena//+/Vq1apUWLlyorKwss49JkyapoKBA8+fP14EDBzRz5kzt3LlTmZmZkiQvLy9NnjxZTz31lNatW6e9e/fqgQceUEREhFJSUq7wYwMAAB1CS29J27x5syGp0ZKWlmYcPny4yTFJxubNm81t/Oc//zHGjh1rdO7c2QgODjbGjRtnfPHFFy77effdd41hw4YZ/v7+xre+9S1jzpw5jXp57bXXjO9+97uGn5+fcd111xn5+fku43V1dcb06dONsLAww9/f3xg+fLhRXl7e7GPl9nkAADxPS76/vQzDMNySwDyA0+mUzWZTVVWVy3VOrSU6O9/l9cdzkhutr18HAACapyXf3/zWWDt3YVgCAACthyAEAAAsiyAEAAAsiyAEAAAsiyAEAAAsiyAEAAAsiyAEAAAsiyAEAAAsiyAEAAAsiyAEAAAsiyAEAAAsiyAEAAAsiyAEAAAsiyAEAAAsiyAEAAAsiyAEAAAsiyAEAAAsiyAEAAAsiyAEAAAsy9fdDeC/orPz3d0CAACWwowQAACwLIIQAACwLIKQB+HUGQAArYsgBAAALIsgBAAALIsgBAAALIsgBAAALIsgBAAALIsgBAAALIsgBAAALIsg5GGis/N5nhAAAK2EIAQAACyLIAQAACyLIAQAACyLIAQAACyLIAQAACyLIAQAACyLIAQAACyLIAQAACyLIAQAACzL190N4PJ4kjQAAG2DGSEAAGBZLQ5CxcXFGjlypCIiIuTl5aW1a9e6jBuGoZycHPXs2VOBgYFKSkrSoUOHXGpOnDih1NRUBQcHKyQkROnp6Tp16pRLzXvvvadbbrlFAQEBioyMVG5ubqNeVq9erb59+yogIEBxcXF64403WtwLAACwrhYHoerqat1www1asmRJk+O5ublatGiR8vLyVFpaqqCgINntdp05c8asSU1N1f79+1VYWKj169eruLhYEyZMMMedTqdGjBihqKgolZWVad68eZo5c6aWLVtm1mzbtk1jx45Venq6du/erZSUFKWkpGjfvn0t6sVTcboMAIAr52UYhvG13+zlpTVr1iglJUXSVzMwERER+tWvfqVf//rXkqSqqiqFhYVpxYoVGjNmjD744APFxsZqx44dio+PlyQVFBTohz/8of71r38pIiJCS5cu1eOPPy6HwyE/Pz9JUnZ2ttauXasDBw5IkkaPHq3q6mqtX7/e7GfIkCEaMGCA8vLymtXL5TidTtlsNlVVVSk4OPjrfkwXdaVh5uM5ya3UCQAAHUdLvr9b9Rqhw4cPy+FwKCkpyVxns9mUkJCgkpISSVJJSYlCQkLMECRJSUlJ8vb2VmlpqVlz6623miFIkux2u8rLy3Xy5EmzpuF+6mvq99OcXi5UU1Mjp9PpsgAAgI6rVYOQw+GQJIWFhbmsDwsLM8ccDodCQ0Ndxn19fdWtWzeXmqa20XAfF6tpOH65Xi40e/Zs2Ww2c4mMjGzGUQMAAE/FXWMNTJ06VVVVVeZy9OhRd7cEAADaUKsGofDwcElSRUWFy/qKigpzLDw8XMeOHXMZP3/+vE6cOOFS09Q2Gu7jYjUNxy/Xy4X8/f0VHBzssgAAgI6rVYNQTEyMwsPDVVRUZK5zOp0qLS1VYmKiJCkxMVGVlZUqKyszazZt2qS6ujolJCSYNcXFxTp37pxZU1hYqD59+qhr165mTcP91NfU76c5vQAAAGtrcRA6deqU9uzZoz179kj66qLkPXv26MiRI/Ly8tLkyZP11FNPad26ddq7d68eeOABRUREmHeW9evXT3fccYfGjx+v7du3a+vWrcrMzNSYMWMUEREhSbr33nvl5+en9PR07d+/X6tWrdLChQuVlZVl9jFp0iQVFBRo/vz5OnDggGbOnKmdO3cqMzNTkprVCwAAsLYW/8TGzp07ddttt5mv68NJWlqaVqxYoUcffVTV1dWaMGGCKisrNWzYMBUUFCggIMB8z6uvvqrMzEwNHz5c3t7eGjVqlBYtWmSO22w2bdy4URkZGRo4cKCuvvpq5eTkuDxr6Oabb9bKlSv1xBNPaNq0aerdu7fWrl2r/v37mzXN6QUAAFjXFT1HqKPjOUIAAHgetz1HCAAAwJMQhAAAgGURhAAAgGURhAAAgGURhAAAgGURhAAAgGURhDxYdHb+Fd+CDwCAlRGEAACAZRGEAACAZRGEAACAZRGEAACAZRGEAACAZRGEAACAZRGEAACAZRGEAACAZRGEAACAZRGEAACAZRGEAACAZRGEAACAZRGEAACAZRGEAACAZRGEAACAZRGEAACAZRGEAACAZRGEAACAZRGEOoDo7Hx3twAAgEciCAEAAMsiCAEAAMsiCAEAAMsiCAEAAMsiCAEAAMsiCAEAAMsiCAEAAMsiCAEAAMsiCAEAAMsiCAEAAMsiCAEAAMsiCAEAAMsiCAEAAMsiCAEAAMsiCAEAAMvydXcDaH3R2fnm3x/PSXZjJwAAtG/MCFlQw6AEAICVtXoQqq2t1fTp0xUTE6PAwEBde+21evLJJ2UYhlljGIZycnLUs2dPBQYGKikpSYcOHXLZzokTJ5Samqrg4GCFhIQoPT1dp06dcql57733dMsttyggIECRkZHKzc1t1M/q1avVt29fBQQEKC4uTm+88UZrHzIAAPBQrR6E5s6dq6VLl2rx4sX64IMPNHfuXOXm5ur55583a3Jzc7Vo0SLl5eWptLRUQUFBstvtOnPmjFmTmpqq/fv3q7CwUOvXr1dxcbEmTJhgjjudTo0YMUJRUVEqKyvTvHnzNHPmTC1btsys2bZtm8aOHav09HTt3r1bKSkpSklJ0b59+1r7sAEAgAfyMhpO1bSCO++8U2FhYfrDH/5grhs1apQCAwP1xz/+UYZhKCIiQr/61a/061//WpJUVVWlsLAwrVixQmPGjNEHH3yg2NhY7dixQ/Hx8ZKkgoIC/fCHP9S//vUvRUREaOnSpXr88cflcDjk5+cnScrOztbatWt14MABSdLo0aNVXV2t9evXm70MGTJEAwYMUF5e3mWPxel0ymazqaqqSsHBwa32GdVrzVNUDa8Futw1QtHZ+Vw7BADosFry/d3qM0I333yzioqKdPDgQUnSu+++q7fffls/+MEPJEmHDx+Ww+FQUlKS+R6bzaaEhASVlJRIkkpKShQSEmKGIElKSkqSt7e3SktLzZpbb73VDEGSZLfbVV5erpMnT5o1DfdTX1O/nwvV1NTI6XS6LAAAoONq9bvGsrOz5XQ61bdvX/n4+Ki2tlZPP/20UlNTJUkOh0OSFBYW5vK+sLAwc8zhcCg0NNS1UV9fdevWzaUmJiam0Tbqx7p27SqHw3HJ/Vxo9uzZ+s1vfvN1DhsAAHigVp8Reu211/Tqq69q5cqV2rVrl15++WX99re/1csvv9zau2p1U6dOVVVVlbkcPXrU3S0BAIA21OozQo888oiys7M1ZswYSVJcXJw++eQTzZ49W2lpaQoPD5ckVVRUqGfPnub7KioqNGDAAElSeHi4jh075rLd8+fP68SJE+b7w8PDVVFR4VJT//pyNfXjF/L395e/v//XOWwAAOCBWn1G6PTp0/L2dt2sj4+P6urqJEkxMTEKDw9XUVGROe50OlVaWqrExERJUmJioiorK1VWVmbWbNq0SXV1dUpISDBriouLde7cObOmsLBQffr0UdeuXc2ahvupr6nfDwAAsLZWD0IjR47U008/rfz8fH388cdas2aNFixYoB//+MeSJC8vL02ePFlPPfWU1q1bp7179+qBBx5QRESEUlJSJEn9+vXTHXfcofHjx2v79u3aunWrMjMzNWbMGEVEREiS7r33Xvn5+Sk9PV379+/XqlWrtHDhQmVlZZm9TJo0SQUFBZo/f74OHDigmTNnaufOncrMzGztwwYAAB6o1U+NPf/885o+fbp+8Ytf6NixY4qIiNDDDz+snJwcs+bRRx9VdXW1JkyYoMrKSg0bNkwFBQUKCAgwa1599VVlZmZq+PDh8vb21qhRo7Ro0SJz3GazaePGjcrIyNDAgQN19dVXKycnx+VZQzfffLNWrlypJ554QtOmTVPv3r21du1a9e/fv7UPu93gqdEAADRfqz9HqCPxxOcIXbhNniMEALAatz5HCAAAwFMQhAAAgGURhAAAgGURhAAAgGURhAAAgGURhAAAgGURhAAAgGURhAAAgGURhAAAgGURhCwqOjufn+MAAFgeQaiDI/AAAHBxBCEAAGBZBCEAAGBZBCGL4PQYAACN+bq7AXxzCEMAALhiRggAAFgWQQgAAFgWQQgAAFgWQQgAAFgWQQgAAFgWQQgAAFgWQQgAAFgWQQgAAFgWQQgAAFgWT5buIHhqNAAALceMEAAAsCyCEAAAsCyCEAAAsCyCEAAAsCyCEAAAsCyCEAAAsCyCEAAAsCyCEAAAsCyCkMXxIEYAgJURhAAAgGURhAAAgGURhAAAgGURhAAAgGURhOAiOjufC6gBAJZBEAIAAJZFEAIAAJZFEAIAAJZFEIKJa4MAAFbTJkHo008/1X333afu3bsrMDBQcXFx2rlzpzluGIZycnLUs2dPBQYGKikpSYcOHXLZxokTJ5Samqrg4GCFhIQoPT1dp06dcql57733dMsttyggIECRkZHKzc1t1Mvq1avVt29fBQQEKC4uTm+88UZbHDIAAPBArR6ETp48qaFDh6pTp07asGGD3n//fc2fP19du3Y1a3Jzc7Vo0SLl5eWptLRUQUFBstvtOnPmjFmTmpqq/fv3q7CwUOvXr1dxcbEmTJhgjjudTo0YMUJRUVEqKyvTvHnzNHPmTC1btsys2bZtm8aOHav09HTt3r1bKSkpSklJ0b59+1r7sAEAgAfyMgzDaM0NZmdna+vWrfp//+//NTluGIYiIiL0q1/9Sr/+9a8lSVVVVQoLC9OKFSs0ZswYffDBB4qNjdWOHTsUHx8vSSooKNAPf/hD/etf/1JERISWLl2qxx9/XA6HQ35+fua+165dqwMHDkiSRo8ererqaq1fv97c/5AhQzRgwADl5eU16q2mpkY1NTXma6fTqcjISFVVVSk4OLh1PqAG2supqI/nJEty7ad+HQAAnsbpdMpmszXr+7vVZ4TWrVun+Ph4/eQnP1FoaKhuvPFGvfjii+b44cOH5XA4lJSUZK6z2WxKSEhQSUmJJKmkpEQhISFmCJKkpKQkeXt7q7S01Ky59dZbzRAkSXa7XeXl5Tp58qRZ03A/9TX1+7nQ7NmzZbPZzCUyMvIKPw0AANCetXoQ+uijj7R06VL17t1bb775pn7+85/rl7/8pV5++WVJksPhkCSFhYW5vC8sLMwcczgcCg0NdRn39fVVt27dXGqa2kbDfVyspn78QlOnTlVVVZW5HD16tMXHDwAAPIdva2+wrq5O8fHxeuaZZyRJN954o/bt26e8vDylpaW19u5alb+/v/z9/d3dBgAA+Ia0+oxQz549FRsb67KuX79+OnLkiCQpPDxcklRRUeFSU1FRYY6Fh4fr2LFjLuPnz5/XiRMnXGqa2kbDfVyspn4cAABYW6sHoaFDh6q8vNxl3cGDBxUVFSVJiomJUXh4uIqKisxxp9Op0tJSJSYmSpISExNVWVmpsrIys2bTpk2qq6tTQkKCWVNcXKxz586ZNYWFherTp495h1piYqLLfupr6vcDAACsrdWD0JQpU/TOO+/omWee0YcffqiVK1dq2bJlysjIkCR5eXlp8uTJeuqpp7Ru3Trt3btXDzzwgCIiIpSSkiLpqxmkO+64Q+PHj9f27du1detWZWZmasyYMYqIiJAk3XvvvfLz81N6err279+vVatWaeHChcrKyjJ7mTRpkgoKCjR//nwdOHBAM2fO1M6dO5WZmdnahw0AADxQq18jNGjQIK1Zs0ZTp07VrFmzFBMTo+eee06pqalmzaOPPqrq6mpNmDBBlZWVGjZsmAoKChQQEGDWvPrqq8rMzNTw4cPl7e2tUaNGadGiRea4zWbTxo0blZGRoYEDB+rqq69WTk6Oy7OGbr75Zq1cuVJPPPGEpk2bpt69e2vt2rXq379/ax82AADwQK3+HKGOpCXPIfg62stzhJrCc4QAAJ7Krc8RAgAA8BQEIQAAYFkEIQAAYFkEIQAAYFkEIQAAYFkEIQAAYFkEIQAAYFkEIQAAYFkEIQAAYFkEIQAAYFkEIQAAYFkEIQAAYFkEIQAAYFkEIQAAYFkEIbRYdHa+orPz3d0GAABXjCCEJhF0AABWQBACAACWRRACAACWRRDCRXEtEACgoyMIAQAAyyII4YowawQA8GQEIQAAYFkEIQAAYFkEIQAAYFkEIVwW1wABADoqghC+NgISAMDTEYQAAIBlEYQAAIBlEYQAAIBlEYQAAIBlEYQAAIBlEYQAAIBlEYQAAIBlEYTQ6vghVgCApyAIAQAAyyIIAQAAyyIIAQAAyyIIAQAAyyIIAQAAyyIIAQAAyyIIAQAAyyIIAQAAy2rzIDRnzhx5eXlp8uTJ5rozZ84oIyND3bt3V+fOnTVq1ChVVFS4vO/IkSNKTk7WVVddpdDQUD3yyCM6f/68S81bb72lm266Sf7+/vrOd76jFStWNNr/kiVLFB0drYCAACUkJGj79u1tcZiWwYMSAQAdSZsGoR07duh3v/udrr/+epf1U6ZM0euvv67Vq1dry5Yt+uyzz3TXXXeZ47W1tUpOTtbZs2e1bds2vfzyy1qxYoVycnLMmsOHDys5OVm33Xab9uzZo8mTJ+unP/2p3nzzTbNm1apVysrK0owZM7Rr1y7dcMMNstvtOnbsWFsetmXxRGkAgKdpsyB06tQppaam6sUXX1TXrl3N9VVVVfrDH/6gBQsW6Pbbb9fAgQO1fPlybdu2Te+8844kaePGjXr//ff1xz/+UQMGDNAPfvADPfnkk1qyZInOnj0rScrLy1NMTIzmz5+vfv36KTMzU3fffbeeffZZc18LFizQ+PHjNW7cOMXGxiovL09XXXWVXnrppbY6bFwCQQkA0N60WRDKyMhQcnKykpKSXNaXlZXp3LlzLuv79u2rXr16qaSkRJJUUlKiuLg4hYWFmTV2u11Op1P79+83ay7ctt1uN7dx9uxZlZWVudR4e3srKSnJrLlQTU2NnE6ny4Kvj9ADAGjvfNtio3/+85+1a9cu7dixo9GYw+GQn5+fQkJCXNaHhYXJ4XCYNQ1DUP14/dilapxOp7788kudPHlStbW1TdYcOHCgyb5nz56t3/zmN80/UAAA4NFaPQgdPXpUkyZNUmFhoQICAlp7821q6tSpysrKMl87nU5FRka6saP2g9kdAEBH1OqnxsrKynTs2DHddNNN8vX1la+vr7Zs2aJFixbJ19dXYWFhOnv2rCorK13eV1FRofDwcElSeHh4o7vI6l9friY4OFiBgYG6+uqr5ePj02RN/TYu5O/vr+DgYJcFzUNQAgB4olYPQsOHD9fevXu1Z88ec4mPj1dqaqr5d6dOnVRUVGS+p7y8XEeOHFFiYqIkKTExUXv37nW5u6uwsFDBwcGKjY01axpuo76mfht+fn4aOHCgS01dXZ2KiorMGgAAYG2tfmqsS5cu6t+/v8u6oKAgde/e3Vyfnp6urKwsdevWTcHBwZo4caISExM1ZMgQSdKIESMUGxur+++/X7m5uXI4HHriiSeUkZEhf39/SdLPfvYzLV68WI8++qgeeughbdq0Sa+99pry8/87M5GVlaW0tDTFx8dr8ODBeu6551RdXa1x48a19mEDAAAP1CYXS1/Os88+K29vb40aNUo1NTWy2+164YUXzHEfHx+tX79eP//5z5WYmKigoCClpaVp1qxZZk1MTIzy8/M1ZcoULVy4UNdcc41+//vfy263mzWjR4/W8ePHlZOTI4fDoQEDBqigoKDRBdQAAMCavAzDMNzdRHvldDpls9lUVVXVJtcLWeG6mo/nJJt/1x9vw3UAALS2lnx/81tjAADAsghCAADAsghCAADAsghCAADAsghCAADAsghCAADAsghCAADAsghCAADAsghC+EZY4eGRAADPQxACAACWRRACAACWRRACAACWRRCCW0Rn53PdEADA7Xzd3QA6NsIOAKA9Y0YIAABYFkEIAABYFkEIAABYFkEIAABYFkEIAABYFkEIAABYFrfPo11qeNv9x3OS3dgJAKAjY0YIAABYFkEI3zgesggAaC8IQnArQhEAwJ0IQmg3CEUAgG8aQQgegR9pBQC0BYIQAACwLIIQAACwLIIQAACwLIIQAACwLIIQPAoXTAMAWhNBCO0e4QcA0FYIQgAAwLIIQgAAwLIIQgAAwLIIQgAAwLIIQgAAwLIIQgAAwLIIQgAAwLIIQgAAwLIIQmhXorPzm/0ARR60CAC4UgQhAABgWQQhdBgtmU0CAEBqgyA0e/ZsDRo0SF26dFFoaKhSUlJUXl7uUnPmzBllZGSoe/fu6ty5s0aNGqWKigqXmiNHjig5OVlXXXWVQkND9cgjj+j8+fMuNW+99ZZuuukm+fv76zvf+Y5WrFjRqJ8lS5YoOjpaAQEBSkhI0Pbt21v7kAEAgIdq9SC0ZcsWZWRk6J133lFhYaHOnTunESNGqLq62qyZMmWKXn/9da1evVpbtmzRZ599prvuusscr62tVXJyss6ePatt27bp5Zdf1ooVK5STk2PWHD58WMnJybrtttu0Z88eTZ48WT/96U/15ptvmjWrVq1SVlaWZsyYoV27dumGG26Q3W7XsWPHWvuwcQWYyQEAuIuXYRhGW+7g+PHjCg0N1ZYtW3TrrbeqqqpKPXr00MqVK3X33XdLkg4cOKB+/fqppKREQ4YM0YYNG3TnnXfqs88+U1hYmCQpLy9Pjz32mI4fPy4/Pz899thjys/P1759+8x9jRkzRpWVlSooKJAkJSQkaNCgQVq8eLEkqa6uTpGRkZo4caKys7Mv27vT6ZTNZlNVVZWCg4Nb+6Phy/9r+nhOsqSvPr+Gf184DgCwppZ8f7f5NUJVVVWSpG7dukmSysrKdO7cOSUlJZk1ffv2Va9evVRSUiJJKikpUVxcnBmCJMlut8vpdGr//v1mTcNt1NfUb+Ps2bMqKytzqfH29lZSUpJZc6Gamho5nU6XBe1PwxkkZpMAAFeiTYNQXV2dJk+erKFDh6p///6SJIfDIT8/P4WEhLjUhoWFyeFwmDUNQ1D9eP3YpWqcTqe+/PJLff7556qtrW2ypn4bF5o9e7ZsNpu5REZGfr0DBwAAHqFNg1BGRob27dunP//5z225m1YzdepUVVVVmcvRo0fd3RIAAGhDvm214czMTK1fv17FxcW65pprzPXh4eE6e/asKisrXWaFKioqFB4ebtZceHdX/V1lDWsuvNOsoqJCwcHBCgwMlI+Pj3x8fJqsqd/Ghfz9/eXv7//1DhgAAHicVp8RMgxDmZmZWrNmjTZt2qSYmBiX8YEDB6pTp04qKioy15WXl+vIkSNKTEyUJCUmJmrv3r0ud3cVFhYqODhYsbGxZk3DbdTX1G/Dz89PAwcOdKmpq6tTUVGRWQMAAKyt1WeEMjIytHLlSv39739Xly5dzOtxbDabAgMDZbPZlJ6erqysLHXr1k3BwcGaOHGiEhMTNWTIEEnSiBEjFBsbq/vvv1+5ublyOBx64oknlJGRYc7Y/OxnP9PixYv16KOP6qGHHtKmTZv02muvKT//vxfOZmVlKS0tTfHx8Ro8eLCee+45VVdXa9y4ca192AAAwAO1ehBaunSpJOl//ud/XNYvX75cDz74oCTp2Weflbe3t0aNGqWamhrZ7Xa98MILZq2Pj4/Wr1+vn//850pMTFRQUJDS0tI0a9YssyYmJkb5+fmaMmWKFi5cqGuuuUa///3vZbfbzZrRo0fr+PHjysnJkcPh0IABA1RQUNDoAmpYQ8Pb7QEAkL6B5wh5Mp4j5Jk+npPc5HOFCEIAYA3t6jlCAAAA7RVBCB3OhTNtLXnoIrN0AGAtBCEAAGBZBCEAAGBZBCEAAGBZBCEAAGBZBCFYCr9cDwBoiCAESyIAAQAkghAAALAwghAsj9khALAughAAALCsVv/RVcATNWdWqL6G3ysDgI6DGSHgAtxNBgDWQRACAACWRRACAACWRRACAACWRRACWhHXFwGAZyEIAV8DgQcAOgaCEAAAsCyCEHARF5vxYSYIADoOHqgItJILA1LD1zyEEQDaJ2aEgGZo6SxQS55UDQBwH4IQAACwLE6NAVeImR0A8FzMCAGX0J5uk28vfQBAR8KMEHAFvk44IdAAQPvBjBDQDhCOAMA9mBECvgEEHQBon5gRAjxUe7p+CQA8FUEIaMcIOgDQtjg1BrgRQQcA3IsZIcADNTdANef0GafYAFgZQQjooAg3AHB5nBoDOhgCEAA0HzNCAADAspgRAtq5lvyS/cdzkq+oBgCshhkhoJ1pi1NbF9smp9EAWB1BCMAlNQxLLQ1OBC0A7R2nxoB24koCx5Xsq6n1LT19Fp2dzyk3AB6JGSHAYppzmqw9zOS0hx4AdHzMCAEepKlw0F4CDBdjA/BEzAgBaFLDJ05f7O+Lva+l+wEAd7FEEFqyZImio6MVEBCghIQEbd++3d0tAR7vSgJPfZhqq3AFAM3V4U+NrVq1SllZWcrLy1NCQoKee+452e12lZeXKzQ01N3tAWigJb+hdqGP5yS7rG+NU3QtvQici8avDJ8f3KHDB6EFCxZo/PjxGjdunCQpLy9P+fn5eumll5Sdne3m7oCOqbWeW9TU9U8X+6K8cNsN6y8WkC62zeb8UG1z+vg6d99d7n1NHdelemlqzNMCh6f1C8/SoYPQ2bNnVVZWpqlTp5rrvL29lZSUpJKSkkb1NTU1qqmpMV9XVVVJkpxOZ5v0V1dzuk22C3xTek1Zfdma+v/9tNZ/783Z56XqG/7vub6nhjX7fmN36fXCsfr31a+vX9dwe03tq/+MNxv11vC9Dceb2ueF+3A6nS5/17//wn4u9nk159+1httsavsXe099TVPHfOE2Lqxpqq+6mtOt8u9ww94uVydd/Fibu53m9nSpfXVkbXns9f+9GIZx+WKjA/v0008NSca2bdtc1j/yyCPG4MGDG9XPmDHDkMTCwsLCwsLSAZajR49eNit06Bmhlpo6daqysrLM13V1dTpx4oS6d+8uLy+vVt2X0+lUZGSkjh49quDg4FbdtpXxubYdPtu2w2fbNvhc2057/2wNw9AXX3yhiIiIy9Z26CB09dVXy8fHRxUVFS7rKyoqFB4e3qje399f/v7+LutCQkLaskUFBwe3y/+IPB2fa9vhs207fLZtg8+17bTnz9ZmszWrrkPfPu/n56eBAweqqKjIXFdXV6eioiIlJia6sTMAANAedOgZIUnKyspSWlqa4uPjNXjwYD333HOqrq427yIDAADW1eGD0OjRo3X8+HHl5OTI4XBowIABKigoUFhYmFv78vf314wZMxqdisOV4XNtO3y2bYfPtm3wubadjvTZehlGc+4tAwAA6Hg69DVCAAAAl0IQAgAAlkUQAgAAlkUQAgAAlkUQAgAAlkUQcoMlS5YoOjpaAQEBSkhI0Pbt293dksebPXu2Bg0apC5duig0NFQpKSkqLy93d1sdzpw5c+Tl5aXJkye7u5UO4dNPP9V9992n7t27KzAwUHFxcdq5c6e72/J4tbW1mj59umJiYhQYGKhrr71WTz75ZPN+gBMuiouLNXLkSEVERMjLy0tr1651GTcMQzk5OerZs6cCAwOVlJSkQ4cOuafZr4kg9A1btWqVsrKyNGPGDO3atUs33HCD7Ha7jh075u7WPNqWLVuUkZGhd955R4WFhTp37pxGjBih6upqd7fWYezYsUO/+93vdP3117u7lQ7h5MmTGjp0qDp16qQNGzbo/fff1/z589W1a1d3t+bx5s6dq6VLl2rx4sX64IMPNHfuXOXm5ur55593d2sep7q6WjfccIOWLFnS5Hhubq4WLVqkvLw8lZaWKigoSHa7XWfOnPmGO70CrfEr72i+wYMHGxkZGebr2tpaIyIiwpg9e7Ybu+p4jh07ZkgytmzZ4u5WOoQvvvjC6N27t1FYWGh873vfMyZNmuTuljzeY489ZgwbNszdbXRIycnJxkMPPeSy7q677jJSU1Pd1FHHIMlYs2aN+bqurs4IDw835s2bZ66rrKw0/P39jT/96U9u6PDrYUboG3T27FmVlZUpKSnJXOft7a2kpCSVlJS4sbOOp6qqSpLUrVs3N3fSMWRkZCg5Odnlv11cmXXr1ik+Pl4/+clPFBoaqhtvvFEvvviiu9vqEG6++WYVFRXp4MGDkqR3331Xb7/9tn7wgx+4ubOO5fDhw3I4HC7/LthsNiUkJHjUd1qH/4mN9uTzzz9XbW1to5/3CAsL04EDB9zUVcdTV1enyZMna+jQoerfv7+72/F4f/7zn7Vr1y7t2LHD3a10KB999JGWLl2qrKwsTZs2TTt27NAvf/lL+fn5KS0tzd3tebTs7Gw5nU717dtXPj4+qq2t1dNPP63U1FR3t9ahOBwOSWryO61+zBMQhNDhZGRkaN++fXr77bfd3YrHO3r0qCZNmqTCwkIFBAS4u50Opa6uTvHx8XrmmWckSTfeeKP27dunvLw8gtAVeu211/Tqq69q5cqVuu6667Rnzx5NnjxZERERfLZohFNj36Crr75aPj4+qqiocFlfUVGh8PBwN3XVsWRmZmr9+vXavHmzrrnmGne34/HKysp07Ngx3XTTTfL19ZWvr6+2bNmiRYsWydfXV7W1te5u0WP17NlTsbGxLuv69eunI0eOuKmjjuORRx5Rdna2xowZo7i4ON1///2aMmWKZs+e7e7WOpT67y1P/04jCH2D/Pz8NHDgQBUVFZnr6urqVFRUpMTERDd25vkMw1BmZqbWrFmjTZs2KSYmxt0tdQjDhw/X3r17tWfPHnOJj49Xamqq9uzZIx8fH3e36LGGDh3a6BEPBw8eVFRUlJs66jhOnz4tb2/XrzcfHx/V1dW5qaOOKSYmRuHh4S7faU6nU6WlpR71ncapsW9YVlaW0tLSFB8fr8GDB+u5555TdXW1xo0b5+7WPFpGRoZWrlypv//97+rSpYt5ftpmsykwMNDN3XmuLl26NLrOKigoSN27d+f6qys0ZcoU3XzzzXrmmWd0zz33aPv27Vq2bJmWLVvm7tY83siRI/X000+rV69euu6667R7924tWLBADz30kLtb8zinTp3Shx9+aL4+fPiw9uzZo27duqlXr16aPHmynnrqKfXu3VsxMTGaPn26IiIilJKS4r6mW8rdt61Z0fPPP2/06tXL8PPzMwYPHmy888477m7J40lqclm+fLm7W+twuH2+9bz++utG//79DX9/f6Nv377GsmXL3N1Sh+B0Oo1JkyYZvXr1MgICAoxvf/vbxuOPP27U1NS4uzWPs3nz5ib/bU1LSzMM46tb6KdPn26EhYUZ/v7+xvDhw43y8nL3Nt1CXobBozYBAIA1cY0QAACwLIIQAACwLIIQAACwLIIQAACwLIIQAACwLIIQAACwLIIQAACwLIIQAACwLIIQAACwLIIQAACwLIIQAACwrP8Pgzv3slDf/0cAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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TlJ+fbz0OHToUyMsHAAC1SEBf61BcXKyePXvqz3/+syTppptu0q5du7Rw4UIlJydXSQMrk9PplNPpDHYzAABANQhoJKd58+aKj4/3W9axY0cdPHhQkhQbGytJys3N9avJzc211sXGxuro0aN+6y9cuKATJ0741ZS1j4ufo7yakvUAAKBuCyjk3HLLLdq7d6/fss8++0ytW7eWJLVt21axsbHKzMy01vt8Pm3evFlut1uS5Ha7lZeXp+zsbKtm7dq1Ki4uVkJCglWzceNGnT9/3qpZs2aN2rdvb13J5Xa7/Z6npKbkeQAAQB0XyGzmLVu2mPDwcPOnP/3J7Nu3z/z97383DRo0MK+99ppVM3PmTBMVFWX+9a9/mR07dpi7777btG3b1pw9e9aqufPOO81NN91kNm/ebN5//31z/fXXm+HDh1vr8/LyTExMjBk5cqTZtWuXeeONN0yDBg3Miy++aNV88MEHJjw83Dz77LPm008/NdOmTTP16tUzO3furPDrqejsbAAAUHNU9PM7oJBjjDErVqwwN954o3E6naZDhw7mpZde8ltfXFxs/t//+38mJibGOJ1O079/f7N3716/mv/+979m+PDhplGjRsblcplRo0aZU6dO+dV8/PHHpm/fvsbpdJof/OAHZubMmaXasnTpUnPDDTcYh8NhOnXqZNLT0wN6LYScuq31pJWm9aSVwW4GACBAFf38DjHGmOCOJQWPz+dTZGSk8vPz5XK5gt0cVKM2k9Otn7+cmRTElgAAAlXRz++Arq4CaruLww0AwN74gk4AAGBLhBzUGeWN4jC6AwD2xOkq2B4hBgDqJkZyYGsEHACouwg5gL4NQwQiALAXQg5wEYIOANgHc3JgS4QVAAAjObCdqw04nLoCAHsg5AAAAFvidBVsg9EXAMDFGMkBAAC2RMgBysHIEADUboQc2AKBBADwfYQcAABgS0w8Bi7h4hGiL2cmBbElAIBAMZIDAABsiZEc1GrMxQEAlIeRHAAAYEuEHAAAYEuEHAAAYEuEHAAAYEuEHNRaTDoGAFwKIQeooDaT0wlWAFCLEHIAAIAtEXIAAIAtEXKAAHHKCgBqB+54jFqHkAEAqAhGcoArwCRkAKj5CDkAAMCWCDkAAMCWCDmoVThFBACoKEIOAACwJUIOAACwJUIOAACwJUIOAACwJUIOAACwJUIOAACwJUIOaoWaeofhmtgmAMC3CDkAAMCWCDnAVaqpo0wAUNcRcgAAgC0RcgAAgC0RcoBKwikrAKhZCDkAAMCWCDmo8RghAQBcCUIOAACwJUIOAACwpYBCzpNPPqmQkBC/R4cOHaz1586dU0pKipo2bapGjRpp8ODBys3N9dvHwYMHlZSUpAYNGig6OlqPPvqoLly44Fezfv16de/eXU6nU+3atVNaWlqptsybN09t2rRRRESEEhIStGXLlkBeCgAAsLmAR3I6deqkI0eOWI/333/fWjdx4kStWLFCy5Yt04YNG3T48GHdc8891vqioiIlJSWpsLBQmzZt0uLFi5WWlqapU6daNQcOHFBSUpL69eunnJwcTZgwQQ8++KBWr15t1SxZskSpqamaNm2atm3bpq5du8rj8ejo0aNX2g8AAMBmQowxpqLFTz75pN5++23l5OSUWpefn69mzZrp9ddf15AhQyRJe/bsUceOHZWVlaU+ffpo1apVGjhwoA4fPqyYmBhJ0sKFCzVp0iQdO3ZMDodDkyZNUnp6unbt2mXte9iwYcrLy1NGRoYkKSEhQb169dLcuXMlScXFxYqLi9P48eM1efLkCr94n8+nyMhI5efny+VyVXg7VK/aNPH4y5lJwW4CANheRT+/Ax7J2bdvn1q0aKHrrrtOI0aM0MGDByVJ2dnZOn/+vBITE63aDh06qFWrVsrKypIkZWVlqXPnzlbAkSSPxyOfz6fdu3dbNRfvo6SmZB+FhYXKzs72qwkNDVViYqJVU56CggL5fD6/BwAAsKeAQk5CQoLS0tKUkZGhBQsW6MCBA7r11lt16tQpeb1eORwORUVF+W0TExMjr9crSfJ6vX4Bp2R9ybpL1fh8Pp09e1bHjx9XUVFRmTUl+yjPjBkzFBkZaT3i4uICefnAZfE9VgBQc4QHUvyTn/zE+rlLly5KSEhQ69attXTpUtWvX7/SG1fZpkyZotTUVOt3n89H0KnBCAsAgKtxVZeQR0VF6YYbbtDnn3+u2NhYFRYWKi8vz68mNzdXsbGxkqTY2NhSV1uV/H65GpfLpfr16+vaa69VWFhYmTUl+yiP0+mUy+XyewAAAHu6qpBz+vRpffHFF2revLl69OihevXqKTMz01q/d+9eHTx4UG63W5Lkdru1c+dOv6ug1qxZI5fLpfj4eKvm4n2U1JTsw+FwqEePHn41xcXFyszMtGoAAAACCjm/+93vtGHDBn355ZfatGmTfv7znyssLEzDhw9XZGSkRo8erdTUVK1bt07Z2dkaNWqU3G63+vTpI0kaMGCA4uPjNXLkSH388cdavXq1nnjiCaWkpMjpdEqSxowZo/379+uxxx7Tnj17NH/+fC1dulQTJ0602pGamqqXX35Zixcv1qeffqqxY8fqzJkzGjVqVCV2DXDlONUGAMEX0Jycr776SsOHD9d///tfNWvWTH379tWHH36oZs2aSZJmz56t0NBQDR48WAUFBfJ4PJo/f761fVhYmFauXKmxY8fK7XarYcOGSk5O1vTp062atm3bKj09XRMnTtScOXPUsmVLvfLKK/J4PFbN0KFDdezYMU2dOlVer1fdunVTRkZGqcnIAACg7groPjl2w31yai47jIRwzxwAqBpVdp8cAACA2oCQAwAAbImQAwAAbImQAwAAbImQA1QRvuIBAIKLkAMAAGyJkAMAAGyJkAMAAGyJkIMaxY7zWOz2egCgtiDkAAAAWyLkAAAAWyLkAAAAWyLkANXAjnONAKCmI+QAAABbIuQAAABbIuQAAABbIuQAAABbIuSgxmBiLgCgMhFyAACALRFyAACALRFyAACALRFyAACALRFygGrE5GoAqD6EHAAAYEuEHAAAYEvhwW4AwCkcAEBVYCQHAADYEiEHAADYEiEHqGZtJqdzig4AqgEhBwAA2BIhBwAA2BIhBwAA2BIhBwAA2BIhBwgSJh8DQNUi5CCo+KAHAFQVQg4AALAlQg4AALAlQg4AALAlQg4AALAlQg4AALAlQg4QRHyPFQBUHUIOAACwJUIOAACwJUIOAACwpfBgNwB1E/NQAABVjZEcAABgS4QcAABgS4QcoAbg9B0AVD5CDgAAsKWrCjkzZ85USEiIJkyYYC07d+6cUlJS1LRpUzVq1EiDBw9Wbm6u33YHDx5UUlKSGjRooOjoaD366KO6cOGCX8369evVvXt3OZ1OtWvXTmlpaaWef968eWrTpo0iIiKUkJCgLVu2XM3LAQAANnLFIWfr1q168cUX1aVLF7/lEydO1IoVK7Rs2TJt2LBBhw8f1j333GOtLyoqUlJSkgoLC7Vp0yYtXrxYaWlpmjp1qlVz4MABJSUlqV+/fsrJydGECRP04IMPavXq1VbNkiVLlJqaqmnTpmnbtm3q2rWrPB6Pjh49eqUvCQAA2EiIMcYEutHp06fVvXt3zZ8/X3/84x/VrVs3Pf/888rPz1ezZs30+uuva8iQIZKkPXv2qGPHjsrKylKfPn20atUqDRw4UIcPH1ZMTIwkaeHChZo0aZKOHTsmh8OhSZMmKT09Xbt27bKec9iwYcrLy1NGRoYkKSEhQb169dLcuXMlScXFxYqLi9P48eM1efLkCr0On8+nyMhI5efny+VyBdoNuArMQSnflzOTgt0EAKjRKvr5fUUjOSkpKUpKSlJiYqLf8uzsbJ0/f95veYcOHdSqVStlZWVJkrKystS5c2cr4EiSx+ORz+fT7t27rZrv79vj8Vj7KCwsVHZ2tl9NaGioEhMTrZqyFBQUyOfz+T0AAIA9BXwzwDfeeEPbtm3T1q1bS63zer1yOByKioryWx4TEyOv12vVXBxwStaXrLtUjc/n09mzZ3Xy5EkVFRWVWbNnz55y2z5jxgw99dRTFXuhqDKM4gAAqkNAIzmHDh3Sb3/7W/39739XREREVbWpykyZMkX5+fnW49ChQ8FuEgAAqCIBhZzs7GwdPXpU3bt3V3h4uMLDw7Vhwwa98MILCg8PV0xMjAoLC5WXl+e3XW5urmJjYyVJsbGxpa62Kvn9cjUul0v169fXtddeq7CwsDJrSvZRFqfTKZfL5fcAAAD2FFDI6d+/v3bu3KmcnBzr0bNnT40YMcL6uV69esrMzLS22bt3rw4ePCi32y1Jcrvd2rlzp99VUGvWrJHL5VJ8fLxVc/E+SmpK9uFwONSjRw+/muLiYmVmZlo1AACgbgtoTk7jxo114403+i1r2LChmjZtai0fPXq0UlNT1aRJE7lcLo0fP15ut1t9+vSRJA0YMEDx8fEaOXKkZs2aJa/XqyeeeEIpKSlyOp2SpDFjxmju3Ll67LHH9MADD2jt2rVaunSp0tO/m8uRmpqq5ORk9ezZU71799bzzz+vM2fOaNSoUVfVIQAAwB4q/VvIZ8+erdDQUA0ePFgFBQXyeDyaP3++tT4sLEwrV67U2LFj5Xa71bBhQyUnJ2v69OlWTdu2bZWenq6JEydqzpw5atmypV555RV5PB6rZujQoTp27JimTp0qr9erbt26KSMjo9RkZAAAUDdd0X1y7IL75AQHV1ddHvfKAYDyVel9cgAAAGo6Qg4AALClSp+TA5SH01QAgOrESA4AALAlQg4AALAlQg5QA7WZnM7pPQC4SoQcAABgS4QcAABgS4QcAABgS4QcAABgS4QcAABgS4QcAABgS4QcoAbjMnIAuHKEHFQLPqwBANWNkAMAAGyJkAMAAGyJkAMAAGyJkAMAAGyJkAPUcHxZJwBcGUIOAACwJUIOAACwJUIOAACwpfBgNwD2xlwSAECwMJIDAABsiZAD1BKMigFAYAg5AADAlgg5AADAlgg5AADAlgg5AADAlgg5AADAlgg5AADAlgg5qDJc8gwACCZCDlCL8I3kAFBxhBwAAGBLhBwAAGBLhBwAAGBLhBwAAGBLhBygFmLyMQBcHiEHAADYEiEHAADYEiEHAADYUniwGwD7Yb4IAKAmYCQHAADYEiEHAADYEiEHqKX4HisAuDRCDgAAsCVCDgAAsCVCDgAAsCVCDgAAsKWAQs6CBQvUpUsXuVwuuVwuud1urVq1ylp/7tw5paSkqGnTpmrUqJEGDx6s3Nxcv30cPHhQSUlJatCggaKjo/Xoo4/qwoULfjXr169X9+7d5XQ61a5dO6WlpZVqy7x589SmTRtFREQoISFBW7ZsCeSlAAAAmwso5LRs2VIzZ85Udna2PvroI91+++26++67tXv3bknSxIkTtWLFCi1btkwbNmzQ4cOHdc8991jbFxUVKSkpSYWFhdq0aZMWL16stLQ0TZ061ao5cOCAkpKS1K9fP+Xk5GjChAl68MEHtXr1aqtmyZIlSk1N1bRp07Rt2zZ17dpVHo9HR48evdr+AGodrrACgLKFGGPM1eygSZMmeuaZZzRkyBA1a9ZMr7/+uoYMGSJJ2rNnjzp27KisrCz16dNHq1at0sCBA3X48GHFxMRIkhYuXKhJkybp2LFjcjgcmjRpktLT07Vr1y7rOYYNG6a8vDxlZGRIkhISEtSrVy/NnTtXklRcXKy4uDiNHz9ekydPLretBQUFKigosH73+XyKi4tTfn6+XC7X1XQDLsKHbvX7cmZSsJsAANXG5/MpMjLysp/fVzwnp6ioSG+88YbOnDkjt9ut7OxsnT9/XomJiVZNhw4d1KpVK2VlZUmSsrKy1LlzZyvgSJLH45HP57NGg7Kysvz2UVJTso/CwkJlZ2f71YSGhioxMdGqKc+MGTMUGRlpPeLi4q705QMAgBou4JCzc+dONWrUSE6nU2PGjNHy5csVHx8vr9crh8OhqKgov/qYmBh5vV5Jktfr9Qs4JetL1l2qxufz6ezZszp+/LiKiorKrCnZR3mmTJmi/Px863Ho0KFAXz4AAKglAv6Czvbt2ysnJ0f5+fl68803lZycrA0bNlRF2yqd0+mU0+kMdjNsjVNVwVHS75y2AoDvBBxyHA6H2rVrJ0nq0aOHtm7dqjlz5mjo0KEqLCxUXl6e32hObm6uYmNjJUmxsbGlroIqufrq4prvX5GVm5srl8ul+vXrKywsTGFhYWXWlOwDAADgqu+TU1xcrIKCAvXo0UP16tVTZmamtW7v3r06ePCg3G63JMntdmvnzp1+V0GtWbNGLpdL8fHxVs3F+yipKdmHw+FQjx49/GqKi4uVmZlp1QAAAAQ0kjNlyhT95Cc/UatWrXTq1Cm9/vrrWr9+vVavXq3IyEiNHj1aqampatKkiVwul8aPHy+3260+ffpIkgYMGKD4+HiNHDlSs2bNktfr1RNPPKGUlBTrNNKYMWM0d+5cPfbYY3rggQe0du1aLV26VOnp350GSU1NVXJysnr27KnevXvr+eef15kzZzRq1KhK7BoAAFCbBRRyjh49ql/96lc6cuSIIiMj1aVLF61evVp33HGHJGn27NkKDQ3V4MGDVVBQII/Ho/nz51vbh4WFaeXKlRo7dqzcbrcaNmyo5ORkTZ8+3app27at0tPTNXHiRM2ZM0ctW7bUK6+8Io/HY9UMHTpUx44d09SpU+X1etWtWzdlZGSUmowMAADqrqu+T05tVtHr7FFxTDwOLiYeA6gLqvw+OQAAADUZIQcAANgSIQewEU4XAsB3CDkAAMCWAr4ZIFAWRhAAADUNIzkAAMCWCDkAAMCWCDmAzbSZnM7pQwAQIQcAANgUIQcAANgSIQcAANgSIQcAANgSIQdXjUmuNRP/LgDqOkIOAACwJUIOAACwJUIOAACwJUIOAACwJUIOAACwJUIOAACwJUIOYGN8jxWAuoyQAwAAbImQAwAAbImQAwAAbImQA9QBzMsBUBcRcgAAgC0RcgAAgC2FB7sBqL04BQIAqMkYyQEAALZEyAHqCG4MCKCuIeQAAABbIuQAAABbIuQAAABbIuQAAABbIuTgijCBFQBQ0xFygDqGgAqgriDkAAAAWyLkAAAAWyLkAAAAWyLkAAAAWyLkAAAAWyLkAHUQ32MFoC4g5AAAAFsi5AAAAFsi5AAAAFsi5CAgzOWwF/4tAdgZIQcAANgSIQcAANgSIQcAANhSQCFnxowZ6tWrlxo3bqzo6GgNGjRIe/fu9as5d+6cUlJS1LRpUzVq1EiDBw9Wbm6uX83BgweVlJSkBg0aKDo6Wo8++qguXLjgV7N+/Xp1795dTqdT7dq1U1paWqn2zJs3T23atFFERIQSEhK0ZcuWQF4OAACwsYBCzoYNG5SSkqIPP/xQa9as0fnz5zVgwACdOXPGqpk4caJWrFihZcuWacOGDTp8+LDuuecea31RUZGSkpJUWFioTZs2afHixUpLS9PUqVOtmgMHDigpKUn9+vVTTk6OJkyYoAcffFCrV6+2apYsWaLU1FRNmzZN27ZtU9euXeXxeHT06NGr6Q8AAGATIcYYc6UbHzt2TNHR0dqwYYN+9KMfKT8/X82aNdPrr7+uIUOGSJL27Nmjjh07KisrS3369NGqVas0cOBAHT58WDExMZKkhQsXatKkSTp27JgcDocmTZqk9PR07dq1y3quYcOGKS8vTxkZGZKkhIQE9erVS3PnzpUkFRcXKy4uTuPHj9fkyZMr1H6fz6fIyEjl5+fL5XJdaTfUKVyNYz9fzkwKdhMAICAV/fy+qjk5+fn5kqQmTZpIkrKzs3X+/HklJiZaNR06dFCrVq2UlZUlScrKylLnzp2tgCNJHo9HPp9Pu3fvtmou3kdJTck+CgsLlZ2d7VcTGhqqxMREq6YsBQUF8vl8fg+gruO2AADs6opDTnFxsSZMmKBbbrlFN954oyTJ6/XK4XAoKirKrzYmJkZer9equTjglKwvWXepGp/Pp7Nnz+r48eMqKioqs6ZkH2WZMWOGIiMjrUdcXFzgLxwAANQKVxxyUlJStGvXLr3xxhuV2Z4qNWXKFOXn51uPQ4cOBbtJAACgioRfyUbjxo3TypUrtXHjRrVs2dJaHhsbq8LCQuXl5fmN5uTm5io2Ntaq+f5VUCVXX11c8/0rsnJzc+VyuVS/fn2FhYUpLCyszJqSfZTF6XTK6XQG/oIhifk4AIDaJaCRHGOMxo0bp+XLl2vt2rVq27at3/oePXqoXr16yszMtJbt3btXBw8elNvtliS53W7t3LnT7yqoNWvWyOVyKT4+3qq5eB8lNSX7cDgc6tGjh19NcXGxMjMzrRoAAFC3BRRyUlJS9Nprr+n1119X48aN5fV65fV6dfbsWUlSZGSkRo8erdTUVK1bt07Z2dkaNWqU3G63+vTpI0kaMGCA4uPjNXLkSH388cdavXq1nnjiCaWkpFijLGPGjNH+/fv12GOPac+ePZo/f76WLl2qiRMnWm1JTU3Vyy+/rMWLF+vTTz/V2LFjdebMGY0aNaqy+gaoUxipA2A3AZ2uWrBggSTpxz/+sd/yRYsW6f7775ckzZ49W6GhoRo8eLAKCgrk8Xg0f/58qzYsLEwrV67U2LFj5Xa71bBhQyUnJ2v69OlWTdu2bZWenq6JEydqzpw5atmypV555RV5PB6rZujQoTp27JimTp0qr9erbt26KSMjo9RkZAAAUDdd1X1yajvukxMY/tK3P+6ZA6A2qJb75AAAANRUhBwAAGBLhBwAFu5+DMBOCDkASiHsALCDK7oZIOoWPuwAALURIzkAAMCWCDkAAMCWCDkAAMCWCDkAAMCWCDkAAMCWCDkAysWVdQBqM0IOAACwJUIOAACwJUIOLonTFQCA2oqQA+CS+IoHALUVIQcAANgSIQcAANgSIQdAhXDKCkBtQ8gBAAC2RMgBAAC2FB7sBqBm4tQEAKC2YyQHAADYEiEHAADYEiEHQIVxY0AAtQkhBwAA2BIhBwAA2BIhBwAA2BIhB0DAmJcDoDYg5KAUPsBQEUxCBlDTEXIAAIAtEXIAAIAtEXIAAIAtEXIAXBXm5QCoqQg5AADAlgg5AADAlgg5AADAlsKD3QDUHMytwJUqOXa+nJkU5JYAwHcYyQEAALZEyAFQaRgNBFCTEHIAAIAtEXIAAIAtEXIAAIAtEXIAVCq+nRxATUHIAQAAtkTIgSSuigEA2A8hB0CVIDgDCDZCDgAAsCVCDgAAsCVCDoAqw5VWAIIp4JCzceNG3XXXXWrRooVCQkL09ttv+603xmjq1Klq3ry56tevr8TERO3bt8+v5sSJExoxYoRcLpeioqI0evRonT592q9mx44duvXWWxUREaG4uDjNmjWrVFuWLVumDh06KCIiQp07d9a7774b6MsBAAA2FXDIOXPmjLp27ap58+aVuX7WrFl64YUXtHDhQm3evFkNGzaUx+PRuXPnrJoRI0Zo9+7dWrNmjVauXKmNGzfq4Ycfttb7fD4NGDBArVu3VnZ2tp555hk9+eSTeumll6yaTZs2afjw4Ro9erS2b9+uQYMGadCgQdq1a1egLwkAANhQiDHGXPHGISFavny5Bg0aJOnbUZwWLVrof/7nf/S73/1OkpSfn6+YmBilpaVp2LBh+vTTTxUfH6+tW7eqZ8+ekqSMjAz99Kc/1VdffaUWLVpowYIF+v3vfy+v1yuHwyFJmjx5st5++23t2bNHkjR06FCdOXNGK1eutNrTp08fdevWTQsXLqxQ+30+nyIjI5Wfny+Xy3Wl3VCrcSoB1eHLmUnBbgIAG6no53elzsk5cOCAvF6vEhMTrWWRkZFKSEhQVlaWJCkrK0tRUVFWwJGkxMREhYaGavPmzVbNj370IyvgSJLH49HevXt18uRJq+bi5ympKXmeshQUFMjn8/k9AFQ9wjSAYKjUkOP1eiVJMTExfstjYmKsdV6vV9HR0X7rw8PD1aRJE7+asvZx8XOUV1OyviwzZsxQZGSk9YiLiwv0JQIAgFqiTl1dNWXKFOXn51uPQ4cOBbtJAACgilRqyImNjZUk5ebm+i3Pzc211sXGxuro0aN+6y9cuKATJ0741ZS1j4ufo7yakvVlcTqdcrlcfg8A1YPLyQFUt0oNOW3btlVsbKwyMzOtZT6fT5s3b5bb7ZYkud1u5eXlKTs726pZu3atiouLlZCQYNVs3LhR58+ft2rWrFmj9u3b65prrrFqLn6ekpqS5wEAAHVbwCHn9OnTysnJUU5OjqRvJxvn5OTo4MGDCgkJ0YQJE/THP/5R77zzjnbu3Klf/epXatGihXUFVseOHXXnnXfqoYce0pYtW/TBBx9o3LhxGjZsmFq0aCFJ+uUvfymHw6HRo0dr9+7dWrJkiebMmaPU1FSrHb/97W+VkZGhv/zlL9qzZ4+efPJJffTRRxo3btzV9woAAKj1Ar6EfP369erXr1+p5cnJyUpLS5MxRtOmTdNLL72kvLw89e3bV/Pnz9cNN9xg1Z44cULjxo3TihUrFBoaqsGDB+uFF15Qo0aNrJodO3YoJSVFW7du1bXXXqvx48dr0qRJfs+5bNkyPfHEE/ryyy91/fXXa9asWfrpT39a4ddS1y8h59QBgoVLygFcjYp+fl/VfXJqO0IOIQfBRdgBcCWCcp8cAACAmoKQAwAAbImQAyBoOGUKoCoRcgAAgC0RcgAAgC2FB7sBqH6cIkBNUnI8cqUVgMrGSA6AGoHwDaCyEXIAAIAtEXIA1Bh8iSeAykTIAQAAtkTIqWP4Kxm1AccpgMpAyAFQI3HqCsDVIuQAAABbIuQAAABbIuQAAABbIuTUEcxvQG3FcQvgShFyANR4hHQAV4KQAwAAbImQA6DWYDQHQCAIOXUAHwwAgLqIkAOgVmF+DoCKIuQAAABbIuQAqJUYzQFwOYQcALUWp64AXAohBwAA2BIhx8b4Kxd1Bcc5gLIQcgDYAqEewPcRcgAAgC0RcmyKv2gBAHVdeLAbAACV6eKA/+XMpCC2BECwMZIDwLYY0QTqNkIOAFtjQjJQdxFybIY3dKBs/L8A6h5CDoA6gz8CgLqFkAOgziHoAHUDIcdGeOMGKo5RHcD+CDkA6jSCDmBfhBwA+P8ReAB74WaANsAbM3B1+D8E2BMhBwAuwh2TAfvgdBUAlIPJyUDtxkhOLccbMFD1vv//jBEeoHZgJAcAAsQID1A7EHJqKd5kgeDj/yBQs3G6CgCuQllBh9NZQM1AyKmF+OsRqNm4QguoGQg5tQjhBqh9CDxA8BByagkCDlD7cZUWUL1qfciZN2+ennnmGXm9XnXt2lV//etf1bt372A3q9IQbgD7utz/b0IQcHVqdchZsmSJUlNTtXDhQiUkJOj555+Xx+PR3r17FR0dHezmXTUCDlC3lfceQPgBKibEGGOC3YgrlZCQoF69emnu3LmSpOLiYsXFxWn8+PGaPHnyZbf3+XyKjIxUfn6+XC5XVTe3wgg3ACoDYQh2VdHP71o7klNYWKjs7GxNmTLFWhYaGqrExERlZWWVuU1BQYEKCgqs3/Pz8yV921nBdOO01UF9fgD21Griskrd366nPJW6P+BKlXxuX26cptaGnOPHj6uoqEgxMTF+y2NiYrRnz54yt5kxY4aeeuqpUsvj4uKqpI0AYCeRzwe7BYC/U6dOKTIystz1tTbkXIkpU6YoNTXV+r24uFgnTpxQ06ZNFRISIp/Pp7i4OB06dKhGnb4KFvrDH/3xHfrCH/3hj/7wR398p7L6whijU6dOqUWLFpesq7Uh59prr1VYWJhyc3P9lufm5io2NrbMbZxOp5xOp9+yqKioUnUul6vOH4gXoz/80R/foS/80R/+6A9/9Md3KqMvLjWCU6LWfneVw+FQjx49lJmZaS0rLi5WZmam3G53EFsGAABqglo7kiNJqampSk5OVs+ePdW7d289//zzOnPmjEaNGhXspgEAgCCr1SFn6NChOnbsmKZOnSqv16tu3bopIyOj1GTkinI6nZo2bVqpU1p1Ff3hj/74Dn3hj/7wR3/4oz++U919UavvkwMAAFCeWjsnBwAA4FIIOQAAwJYIOQAAwJYIOQAAwJYIOQAAwJbqXMiZN2+e2rRpo4iICCUkJGjLli2XrF+2bJk6dOigiIgIde7cWe+++241tbR6BNIfaWlpCgkJ8XtERERUY2urzsaNG3XXXXepRYsWCgkJ0dtvv33ZbdavX6/u3bvL6XSqXbt2SktLq/J2VpdA+2P9+vWljo2QkBB5vd7qaXAVmjFjhnr16qXGjRsrOjpagwYN0t69ey+7nV3fO66kP+z83rFgwQJ16dLFuoOv2+3WqlWrLrmNXY8NKfD+qOpjo06FnCVLlig1NVXTpk3Ttm3b1LVrV3k8Hh09erTM+k2bNmn48OEaPXq0tm/frkGDBmnQoEHatWtXNbe8agTaH9K3t+I+cuSI9fjPf/5TjS2uOmfOnFHXrl01b968CtUfOHBASUlJ6tevn3JycjRhwgQ9+OCDWr3aHt8oH2h/lNi7d6/f8REdHV1FLaw+GzZsUEpKij788EOtWbNG58+f14ABA3TmzJlyt7Hze8eV9Idk3/eOli1baubMmcrOztZHH32k22+/XXfffbd2795dZr2djw0p8P6QqvjYMHVI7969TUpKivV7UVGRadGihZkxY0aZ9ffee69JSkryW5aQkGAeeeSRKm1ndQm0PxYtWmQiIyOrqXXBI8ksX778kjWPPfaY6dSpk9+yoUOHGo/HU4UtC46K9Me6deuMJHPy5MlqaVMwHT161EgyGzZsKLfG7u8dF6tIf9SV944S11xzjXnllVfKXFeXjo0Sl+qPqj426sxITmFhobKzs5WYmGgtCw0NVWJiorKyssrcJisry69ekjweT7n1tcmV9IcknT59Wq1bt1ZcXNxl07md2fnYuBrdunVT8+bNdccdd+iDDz4IdnOqRH5+viSpSZMm5dbUpeOjIv0h1Y33jqKiIr3xxhs6c+ZMud+hWJeOjYr0h1S1x0adCTnHjx9XUVFRqa98iImJKXfegNfrDai+NrmS/mjfvr3+9re/6V//+pdee+01FRcX6+abb9ZXX31VHU2uUco7Nnw+n86ePRukVgVP8+bNtXDhQr311lt66623FBcXpx//+Mfatm1bsJtWqYqLizVhwgTdcsstuvHGG8uts/N7x8Uq2h92f+/YuXOnGjVqJKfTqTFjxmj58uWKj48vs7YuHBuB9EdVHxu1+rurUL3cbrdfGr/55pvVsWNHvfjii/rDH/4QxJYh2Nq3b6/27dtbv99888364osvNHv2bL366qtBbFnlSklJ0a5du/T+++8Huyk1QkX7w+7vHe3bt1dOTo7y8/P15ptvKjk5WRs2bCj3g93uAumPqj426kzIufbaaxUWFqbc3Fy/5bm5uYqNjS1zm9jY2IDqa5Mr6Y/vq1evnm666SZ9/vnnVdHEGq28Y8Plcql+/fpBalXN0rt3b1uFgXHjxmnlypXauHGjWrZseclaO793lAikP77Pbu8dDodD7dq1kyT16NFDW7du1Zw5c/Tiiy+Wqq0Lx0Yg/fF9lX1s1JnTVQ6HQz169FBmZqa1rLi4WJmZmeWeK3S73X71krRmzZpLnlusLa6kP76vqKhIO3fuVPPmzauqmTWWnY+NypKTk2OLY8MYo3Hjxmn58uVau3at2rZte9lt7Hx8XEl/fJ/d3zuKi4tVUFBQ5jo7HxvluVR/fF+lHxtVNqW5BnrjjTeM0+k0aWlp5pNPPjEPP/ywiYqKMl6v1xhjzMiRI83kyZOt+g8++MCEh4ebZ5991nz66adm2rRppl69embnzp3BegmVKtD+eOqpp8zq1avNF198YbKzs82wYcNMRESE2b17d7BeQqU5deqU2b59u9m+fbuRZJ577jmzfft285///McYY8zkyZPNyJEjrfr9+/ebBg0amEcffdR8+umnZt68eSYsLMxkZGQE6yVUqkD7Y/bs2ebtt982+/btMzt37jS//e1vTWhoqPn3v/8drJdQacaOHWsiIyPN+vXrzZEjR6zHN998Y9XUpfeOK+kPO793TJ482WzYsMEcOHDA7Nixw0yePNmEhISY9957zxhTt44NYwLvj6o+NupUyDHGmL/+9a+mVatWxuFwmN69e5sPP/zQWnfbbbeZ5ORkv/qlS5eaG264wTgcDtOpUyeTnp5ezS2uWoH0x4QJE6zamJgY89Of/tRs27YtCK2ufCWXQH//UfL6k5OTzW233VZqm27duhmHw2Guu+46s2jRompvd1UJtD+efvpp88Mf/tBERESYJk2amB//+Mdm7dq1wWl8JSurHyT5/XvXpfeOK+kPO793PPDAA6Z169bG4XCYZs2amf79+1sf6MbUrWPDmMD7o6qPjRBjjKmcMSEAAICao87MyQEAAHULIQcAANgSIQcAANgSIQcAANgSIQcAANgSIQcAANgSIQcAANgSIQcAANgSIQcAANgSIQcAANgSIQcAANjS/wejHcIm/nEn8wAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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xwsLC9Pjjj+vixYteNZs3b1a3bt1kt9vVrl07paenl+tlwYIFiomJUUhIiOLj47V9+3Zf3goAALA4n2dybrnlFn377bfm46OPPjL3TZo0Se+//75WrlypLVu26NixY7r77rvN/SUlJUpMTFRxcbG2bdumN954Q+np6Zo+fbpZc+jQISUmJqpPnz7Kzc3VxIkTNXbsWK1fv96sWb58uVJSUpSWlqYdO3aoS5cucrvdOn78eFXHAQAAWEyAYRhGZYuffvppvffee8rNzS23r6CgQC1bttSyZcs0dOhQSdK+ffvUsWNHZWdnq1evXlq3bp0GDhyoY8eOKTw8XJK0ePFiTZkyRSdOnJDNZtOUKVOUkZGh3bt3m8cePny48vPzlZmZKUmKj49Xjx49NH/+fElSaWmpoqOjNWHCBKWmpl62/6KiIhUVFZlfFxYWKjo6WgUFBXI4HJUdBqDOqatrcrhXDoCaUFhYKKfTedXf3z7P5Hz11VeKjIxU27ZtNXLkSB05ckSSlJOTowsXLighIcGs7dChg1q3bq3s7GxJUnZ2tjp16mQGHElyu90qLCzUnj17zJpLj1FWU3aM4uJi5eTkeNUEBgYqISHBrLmcWbNmyel0mo/o6Ghf3z4AAKgnfAo58fHxSk9PV2ZmphYtWqRDhw7p9ttv1+nTp+XxeGSz2dS8eXOv54SHh8vj8UiSPB6PV8Ap21+270o1hYWFOnfunE6ePKmSkpIKa8qOcTlTp05VQUGB+Th69Kgvbx+Aj2JSM+rsLBMA6/PpEvLf/e535n937txZ8fHxatOmjVasWKHQ0NBqb6662e122e12f7cBAABqwTVdQt68eXPdfPPN+vrrrxUREaHi4mLl5+d71eTl5SkiIkKSFBERUe5qq7Kvr1bjcDgUGhqq66+/XkFBQRXWlB0DaEiYKQGAil1TyDlz5owOHDigVq1aKS4uTo0aNVJWVpa5f//+/Tpy5IhcLpckyeVyadeuXV5XQW3cuFEOh0OxsbFmzaXHKKspO4bNZlNcXJxXTWlpqbKysswaAAAAn0LOY489pi1btujw4cPatm2b/vCHPygoKEgjRoyQ0+nUmDFjlJKSok2bNiknJ0ejR4+Wy+VSr169JEkDBgxQbGysRo0apX/+859av369pk2bpuTkZPM00rhx43Tw4EFNnjxZ+/bt08KFC7VixQpNmjTJ7CMlJUWvvPKK3njjDX3xxRd6+OGHdfbsWY0ePboahwZAdWG2CYA/+LQm55tvvtGIESP03XffqWXLlrrtttv0ySefqGXLlpKkF154QYGBgRoyZIiKiorkdru1cOFC8/lBQUFas2aNHn74YblcLjVp0kRJSUmaOXOmWXPjjTcqIyNDkyZN0rx58xQVFaVXX31VbrfbrBk2bJhOnDih6dOny+PxqGvXrsrMzCy3GBkAADRcPt0nx2oqe509UJfVl1kS7pkDoLrU2H1yAKAquJwcQG3jU8iBeorAAABXxkwOAACwJEIOAACwJEIOAACwJEIOAACwJEIOAACwJEIOgFrFVWEAagshBwAAWBIhB6iHmA0BgKsj5AAAAEsi5AAAAEsi5ACodXyOFYDaQMgBAACWxAd0AvUIsx8AUHnM5AAAAEsi5AAAAEsi5ADwG06/AahJhBwAAGBJhBygnmDWAwB8Q8gBAACWRMgBAACWRMgBAACWRMgB4Fd8xAOAmkLIAQAAlkTIAQAAlsRnVwF1HKdyAKBqmMkBAACWRMgBAACWRMgBAACWRMgBUCew9ghAdSPkAAAASyLkAAAASyLkAHUYp3AAoOoIOQAAwJIIOQDqDD7HCkB1IuQAAABLIuQAAABL4rOrgDqIUzYAcO2YyQEAAJZEyAEAAJZEyAEAAJZEyAEAAJZEyAFQ57DwGkB1IOQAAABLIuQAAABLIuQAdQynagCgehByAACAJRFyAACAJRFyAACAJRFyANRJMakZrE8CcE0IOQAAwJKuKeQ899xzCggI0MSJE81t58+fV3Jysq677jo1bdpUQ4YMUV5entfzjhw5osTERDVu3FhhYWF6/PHHdfHiRa+azZs3q1u3brLb7WrXrp3S09PLvf6CBQsUExOjkJAQxcfHa/v27dfydgAAgIVUOeR89tln+tvf/qbOnTt7bZ80aZLef/99rVy5Ulu2bNGxY8d09913m/tLSkqUmJio4uJibdu2TW+88YbS09M1ffp0s+bQoUNKTExUnz59lJubq4kTJ2rs2LFav369WbN8+XKlpKQoLS1NO3bsUJcuXeR2u3X8+PGqviUAAGAhAYZhGL4+6cyZM+rWrZsWLlyoZ555Rl27dtXcuXNVUFCgli1batmyZRo6dKgkad++ferYsaOys7PVq1cvrVu3TgMHDtSxY8cUHh4uSVq8eLGmTJmiEydOyGazacqUKcrIyNDu3bvN1xw+fLjy8/OVmZkpSYqPj1ePHj00f/58SVJpaamio6M1YcIEpaamVup9FBYWyul0qqCgQA6Hw9dhAGoE61C8HX4u0d8tAKhjKvv7u0ozOcnJyUpMTFRCQoLX9pycHF24cMFre4cOHdS6dWtlZ2dLkrKzs9WpUycz4EiS2+1WYWGh9uzZY9b8/Nhut9s8RnFxsXJycrxqAgMDlZCQYNZUpKioSIWFhV4PAHUboQ9AVQX7+oS3335bO3bs0GeffVZun8fjkc1mU/Pmzb22h4eHy+PxmDWXBpyy/WX7rlRTWFioc+fO6dSpUyopKamwZt++fZftfdasWZoxY0bl3igAAKjXfAo5R48e1aOPPqqNGzcqJCSkpnqqMVOnTlVKSor5dWFhoaKjo/3YEfATZiwAoHr5dLoqJydHx48fV7du3RQcHKzg4GBt2bJFL774ooKDgxUeHq7i4mLl5+d7PS8vL08RERGSpIiIiHJXW5V9fbUah8Oh0NBQXX/99QoKCqqwpuwYFbHb7XI4HF4PAABgTT6FnH79+mnXrl3Kzc01H927d9fIkSPN/27UqJGysrLM5+zfv19HjhyRy+WSJLlcLu3atcvrKqiNGzfK4XAoNjbWrLn0GGU1Zcew2WyKi4vzqiktLVVWVpZZAwAAGjafTlc1a9ZMt956q9e2Jk2a6LrrrjO3jxkzRikpKWrRooUcDocmTJggl8ulXr16SZIGDBig2NhYjRo1SrNnz5bH49G0adOUnJwsu90uSRo3bpzmz5+vyZMn64EHHtCHH36oFStWKCPjp+n8lJQUJSUlqXv37urZs6fmzp2rs2fPavTo0dc0IAAAwBp8Xnh8NS+88IICAwM1ZMgQFRUVye12a+HCheb+oKAgrVmzRg8//LBcLpeaNGmipKQkzZw506y58cYblZGRoUmTJmnevHmKiorSq6++KrfbbdYMGzZMJ06c0PTp0+XxeNS1a1dlZmaWW4wMoP4rW6/E5eQAfFGl++RYBffJQV3CwuOrI+QAkGr4PjkAqhcBBwCqHyEHAABYEiEHAABYEiEHQL3BaT0AviDkAAAASyLkAAAAS6r2++QAqDxOvwBAzWEmBwAAWBIhBwAAWBIhBwAAWBIhB0C9EpOawVomAJVCyAEAAJZEyAEAAJZEyAEAAJZEyAEAAJZEyAH8hMWzAFCzCDkAAMCSCDkAAMCSCDkAAMCSCDkA6iXWNAG4GkIOAACwJEIOAACwJEIOAACwpGB/NwA0NKwlAYDawUwOAACwJEIOAACwJEIOAACwJEIOgHorJjWDNU4ALouQAwAALImQAwAALImQAwAALImQA9Qi1o8AQO0h5ACo9wiPACpCyAEAAJZEyAEAAJZEyAEAAJZEyAEAAJZEyAEAAJZEyAEAAJZEyAFgCXyOFYCfI+QAAABLCvZ3A0BDwAwDANQ+ZnIAAIAlEXIAAIAlEXIAAIAlEXIAAIAlEXIAAIAlEXKAGsaVVbWL8QZQhpADAAAsiZADAAAsiZADAAAsiZADwHL4HCsAEiEHAABYlE8hZ9GiRercubMcDoccDodcLpfWrVtn7j9//rySk5N13XXXqWnTphoyZIjy8vK8jnHkyBElJiaqcePGCgsL0+OPP66LFy961WzevFndunWT3W5Xu3btlJ6eXq6XBQsWKCYmRiEhIYqPj9f27dt9eSsAAMDifAo5UVFReu6555STk6PPP/9cffv21V133aU9e/ZIkiZNmqT3339fK1eu1JYtW3Ts2DHdfffd5vNLSkqUmJio4uJibdu2TW+88YbS09M1ffp0s+bQoUNKTExUnz59lJubq4kTJ2rs2LFav369WbN8+XKlpKQoLS1NO3bsUJcuXeR2u3X8+PFrHQ8AAGARAYZhGNdygBYtWmjOnDkaOnSoWrZsqWXLlmno0KGSpH379qljx47Kzs5Wr169tG7dOg0cOFDHjh1TeHi4JGnx4sWaMmWKTpw4IZvNpilTpigjI0O7d+82X2P48OHKz89XZmamJCk+Pl49evTQ/PnzJUmlpaWKjo7WhAkTlJqaWuneCwsL5XQ6VVBQIIfDcS3DAJTDmhD/O/xcor9bAFADKvv7u8prckpKSvT222/r7NmzcrlcysnJ0YULF5SQkGDWdOjQQa1bt1Z2drYkKTs7W506dTIDjiS53W4VFhaas0HZ2dlexyirKTtGcXGxcnJyvGoCAwOVkJBg1lxOUVGRCgsLvR4AAMCafA45u3btUtOmTWW32zVu3DitWrVKsbGx8ng8stlsat68uVd9eHi4PB6PJMnj8XgFnLL9ZfuuVFNYWKhz587p5MmTKikpqbCm7BiXM2vWLDmdTvMRHR3t69sHAAD1hM8hp3379srNzdWnn36qhx9+WElJSdq7d29N9Fbtpk6dqoKCAvNx9OhRf7cEAABqSLCvT7DZbGrXrp0kKS4uTp999pnmzZunYcOGqbi4WPn5+V6zOXl5eYqIiJAkRURElLsKquzqq0trfn5FVl5enhwOh0JDQxUUFKSgoKAKa8qOcTl2u112u93XtwwAAOqha75PTmlpqYqKihQXF6dGjRopKyvL3Ld//34dOXJELpdLkuRyubRr1y6vq6A2btwoh8Oh2NhYs+bSY5TVlB3DZrMpLi7Oq6a0tFRZWVlmDQBILP4GGjqfZnKmTp2q3/3ud2rdurVOnz6tZcuWafPmzVq/fr2cTqfGjBmjlJQUtWjRQg6HQxMmTJDL5VKvXr0kSQMGDFBsbKxGjRql2bNny+PxaNq0aUpOTjZnWMaNG6f58+dr8uTJeuCBB/Thhx9qxYoVysj46YdVSkqKkpKS1L17d/Xs2VNz587V2bNnNXr06GocGgAAUJ/5FHKOHz+u++67T99++62cTqc6d+6s9evXq3///pKkF154QYGBgRoyZIiKiorkdru1cOFC8/lBQUFas2aNHn74YblcLjVp0kRJSUmaOXOmWXPjjTcqIyNDkyZN0rx58xQVFaVXX31VbrfbrBk2bJhOnDih6dOny+PxqGvXrsrMzCy3GBkAADRc13yfnPqM++SgpnCapO7gXjmA9dT4fXIAAADqMkIOAACwJEIOAACwJEIOAEuLSc1gjRTQQBFyAACAJRFyAACAJRFyAACAJRFyAACAJfn8AZ0ALo8FrgBQdzCTAwAALImQA6BBYJYNaHgIOQAAwJIIOQAAwJIIOQAAwJIIOQAAwJIIOQAaDD7HCmhYCDlANeGXJwDULYQcAABgSYQcAABgSYQcAABgSYQcAABgSYQcAA0Oi8SBhoGQAwAALImQAwAALCnY3w0A9R2nPgCgbmImBwAAWBIhBwAAWBIhB0CDxOdYAdZHyAEAAJZEyAEAAJZEyAEAAJZEyAGuAWs6AKDuIuQAaNAIqoB1EXIAAIAlEXIAAIAlEXIAAIAlEXIAAIAlEXIAAIAlEXIAAIAlBfu7AaA+4rJjayn7/3n4uUQ/dwKgOjGTAwAALImQAwAALImQAwAALImQAwAALImQAwD/PxaUA9ZCyAEAAJZEyAF8xF/7AFA/EHIAAIAlEXIAAIAlEXIA4BIxqRmckgQsgpADAAAsiZADAAAsyaeQM2vWLPXo0UPNmjVTWFiYBg8erP3793vVnD9/XsnJybruuuvUtGlTDRkyRHl5eV41R44cUWJioho3bqywsDA9/vjjunjxolfN5s2b1a1bN9ntdrVr107p6enl+lmwYIFiYmIUEhKi+Ph4bd++3Ze3AwAALMynkLNlyxYlJyfrk08+0caNG3XhwgUNGDBAZ8+eNWsmTZqk999/XytXrtSWLVt07Ngx3X333eb+kpISJSYmqri4WNu2bdMbb7yh9PR0TZ8+3aw5dOiQEhMT1adPH+Xm5mrixIkaO3as1q9fb9YsX75cKSkpSktL044dO9SlSxe53W4dP378WsYDuCzWagBA/RJgGIZR1SefOHFCYWFh2rJli37961+roKBALVu21LJlyzR06FBJ0r59+9SxY0dlZ2erV69eWrdunQYOHKhjx44pPDxckrR48WJNmTJFJ06ckM1m05QpU5SRkaHdu3ebrzV8+HDl5+crMzNTkhQfH68ePXpo/vz5kqTS0lJFR0drwoQJSk1NrVT/hYWFcjqdKigokMPhqOowoIEg4DQsh59L9HcLAC6jsr+/r2lNTkFBgSSpRYsWkqScnBxduHBBCQkJZk2HDh3UunVrZWdnS5Kys7PVqVMnM+BIktvtVmFhofbs2WPWXHqMspqyYxQXFysnJ8erJjAwUAkJCWZNRYqKilRYWOj1AICKEGqB+q/KIae0tFQTJ05U7969deutt0qSPB6PbDabmjdv7lUbHh4uj8dj1lwacMr2l+27Uk1hYaHOnTunkydPqqSkpMKasmNUZNasWXI6neYjOjra9zcOAADqhSqHnOTkZO3evVtvv/12dfZTo6ZOnaqCggLzcfToUX+3BAAAakhwVZ40fvx4rVmzRlu3blVUVJS5PSIiQsXFxcrPz/eazcnLy1NERIRZ8/OroMquvrq05udXZOXl5cnhcCg0NFRBQUEKCgqqsKbsGBWx2+2y2+2+v2EAAFDv+DSTYxiGxo8fr1WrVunDDz/UjTfe6LU/Li5OjRo1UlZWlrlt//79OnLkiFwulyTJ5XJp165dXldBbdy4UQ6HQ7GxsWbNpccoqyk7hs1mU1xcnFdNaWmpsrKyzBoAANCw+TSTk5ycrGXLlukf//iHmjVrZq5/cTqdCg0NldPp1JgxY5SSkqIWLVrI4XBowoQJcrlc6tWrlyRpwIABio2N1ahRozR79mx5PB5NmzZNycnJ5izLuHHjNH/+fE2ePFkPPPCAPvzwQ61YsUIZGT8tBExJSVFSUpK6d++unj17au7cuTp79qxGjx5dXWMDAADqMZ9CzqJFiyRJv/nNb7y2L1myRPfff78k6YUXXlBgYKCGDBmioqIiud1uLVy40KwNCgrSmjVr9PDDD8vlcqlJkyZKSkrSzJkzzZobb7xRGRkZmjRpkubNm6eoqCi9+uqrcrvdZs2wYcN04sQJTZ8+XR6PR127dlVmZma5xcgAAKBhuqb75NR33CcHlcXlxA0b98wB6pZauU8OAABAXUXIAQAAlkTIAQAAlkTIAQAAlkTIAYCrYOE5UD9V6Y7HQEPBLzcAqL+YyQEAAJZEyAEAAJZEyAGASohJzeD0JVDPEHIAAIAlEXIAAIAlEXKAy+DUBADUb4QcAABgSYQcAABgSYQcAPABpzGB+oOQAwAALImQAwAALInPrgJ+htMRAGANzOQAgI+4+zFQPxByAACAJRFyAACAJRFyAACAJRFyAACAJRFygEuwmBQArIOQAwAALImQAwBVxMwfULcRcgAAgCURcgAAgCURcgDgGnD3Y6DuIuQAAABLIuQAAABLIuQAAABLCvZ3A0BdwJoKALAeZnIAoBoQlIG6h5ADAAAsiZADAAAsiZCDBo/TDKgu3DMHqFsIOQAAwJIIOQAAwJIIOQAAwJIIOQAAwJIIOQBQzVh8DNQN3PEYDRa/iADA2pjJAQAAlkTIAYAawD1zAP8j5AAAAEsi5AAAAEsi5AAAAEsi5KBBYq0Eagvfa4D/EHIAAIAlEXIAAIAlEXIAAIAlccdjNCisjwCAhsPnmZytW7dq0KBBioyMVEBAgN577z2v/YZhaPr06WrVqpVCQ0OVkJCgr776yqvm+++/18iRI+VwONS8eXONGTNGZ86c8ar517/+pdtvv10hISGKjo7W7Nmzy/WycuVKdejQQSEhIerUqZPWrl3r69sBgBrHjQEB//A55Jw9e1ZdunTRggULKtw/e/Zsvfjii1q8eLE+/fRTNWnSRG63W+fPnzdrRo4cqT179mjjxo1as2aNtm7dqoceesjcX1hYqAEDBqhNmzbKycnRnDlz9PTTT+vll182a7Zt26YRI0ZozJgx2rlzpwYPHqzBgwdr9+7dvr4lAABgQQGGYRhVfnJAgFatWqXBgwdL+nEWJzIyUv/v//0/PfbYY5KkgoIChYeHKz09XcOHD9cXX3yh2NhYffbZZ+revbskKTMzU7///e/1zTffKDIyUosWLdKTTz4pj8cjm80mSUpNTdV7772nffv2SZKGDRums2fPas2aNWY/vXr1UteuXbV48eJK9V9YWCin06mCggI5HI6qDgPqEf6ahj8dfi7R3y0AllDZ39/VuvD40KFD8ng8SkhIMLc5nU7Fx8crOztbkpSdna3mzZubAUeSEhISFBgYqE8//dSs+fWvf20GHElyu93av3+/Tp06ZdZc+jplNWWvU5GioiIVFhZ6PQCgthCygdpVrSHH4/FIksLDw722h4eHm/s8Ho/CwsK89gcHB6tFixZeNRUd49LXuFxN2f6KzJo1S06n03xER0f7+hYBAEA90aAuIZ86daoKCgrMx9GjR/3dEmoRf0UDQMNSrSEnIiJCkpSXl+e1PS8vz9wXERGh48ePe+2/ePGivv/+e6+aio5x6WtcrqZsf0XsdrscDofXAwAAWFO1hpwbb7xRERERysrKMrcVFhbq008/lcvlkiS5XC7l5+crJyfHrPnwww9VWlqq+Ph4s2br1q26cOGCWbNx40a1b99ev/jFL8yaS1+nrKbsdQCgLuJycqD2+Bxyzpw5o9zcXOXm5kr6cbFxbm6ujhw5ooCAAE2cOFHPPPOMVq9erV27dum+++5TZGSkeQVWx44d9dvf/lYPPvigtm/fro8//ljjx4/X8OHDFRkZKUm69957ZbPZNGbMGO3Zs0fLly/XvHnzlJKSYvbx6KOPKjMzU3/961+1b98+Pf300/r88881fvz4ax8VAABQ7/l8x+PPP/9cffr0Mb8uCx5JSUlKT0/X5MmTdfbsWT300EPKz8/XbbfdpszMTIWEhJjPWbp0qcaPH69+/fopMDBQQ4YM0Ysvvmjudzqd2rBhg5KTkxUXF6frr79e06dP97qXzq9+9SstW7ZM06ZN0xNPPKFf/vKXeu+993TrrbdWaSAAAIC1XNN9cuo77pPTMHBqAHUR98wBqs4v98kBAFQO4RuoeYQcAPATFiEDNYuQAwAALImQA0vjr2QAaLgIOQAAwJIIOQDgZ8w4AjWDkAMAACzJ55sBAvUBfxmjvin7nuX+OUD1YSYHAABYEiEHAABYEiEHlsOpKtRnfP8C1YeQAwAALImQAwAALImQAwB1DJ9pBVQPLiGHZfBLAQBwKWZyAKCOIrgD14aQAwAALImQAwAALImQA0tgWh9WxSJkoOoIOQAAwJIIOQBQDzCbA/iOkAMAACyJ++SgXuOvWwDA5TCTAwD1BIuQAd8QcgAAgCURclBv8RctGiq+94HKIeQAAABLIuQAQD3E+hzg6ri6CvUOP9gBAJXBTA4A1GOEfuDyCDkAUM9x6gqoGCEH9Qo/yAEAlUXIAQCL4I8AwBsLj1Ev8MMbqJyyfyuHn0v0cyeA/zGTAwAALImQgzqPWRzAd/y7AQg5AGBZXHWFho41Oaiz+OEMALgWhBwAsLhL/2BgQTIaEk5XoU5iFgcAcK0IOQDQgPAHBBoSTlehTuEHMFDzOH2FhoKZHABowLgCC1bGTA78jh+wAICawEwOAIA/NmBJhBz4FT9YgbqDU1ewGk5XAQC8sDAZVsFMDvyCvxiB+oF/p6jPmMlBreOHJlC/MLOD+oqQg1pBsAGsoezfMmEH9QEhBwDgs5//4ULoQV1EyEGNYfYGaDg4pYW6qN6HnAULFmjOnDnyeDzq0qWLXnrpJfXs2dPfbTVYBBsAl/s5QPhBbavXIWf58uVKSUnR4sWLFR8fr7lz58rtdmv//v0KCwvzd3sNCuEGwNVU9HOC4IOaFGAYhuHvJqoqPj5ePXr00Pz58yVJpaWlio6O1oQJE5SamnrV5xcWFsrpdKqgoEAOh6Om27UUQg2A2kIQws9V9vd3vZ3JKS4uVk5OjqZOnWpuCwwMVEJCgrKzsyt8TlFRkYqKisyvCwoKJP04WPjJrWnr/d0CAJhaT1rpU/3uGe4a6gR1Rdnv7avN09TbkHPy5EmVlJQoPDzca3t4eLj27dtX4XNmzZqlGTNmlNseHR1dIz0CAGqfc66/O0BtOX36tJxO52X319uQUxVTp05VSkqK+XVpaan+/e9/q2vXrjp69CinrPRjOo6OjmY8xFhcirHwxnj8hLHwxnj8pCbHwjAMnT59WpGRkVesq7ch5/rrr1dQUJDy8vK8tufl5SkiIqLC59jtdtntdq9tgYE/frKFw+Fo8N+Ql2I8fsJY/ISx8MZ4/ISx8MZ4/KSmxuJKMzhl6u1nV9lsNsXFxSkrK8vcVlpaqqysLLlcLj92BgAA6oJ6O5MjSSkpKUpKSlL37t3Vs2dPzZ07V2fPntXo0aP93RoAAPCzeh1yhg0bphMnTmj69OnyeDzq2rWrMjMzyy1GvhK73a60tLRyp7EaKsbjJ4zFTxgLb4zHTxgLb4zHT+rCWNTr++QAAABcTr1dkwMAAHAlhBwAAGBJhBwAAGBJhBwAAGBJhBwAAGBJDSLkLFiwQDExMQoJCVF8fLy2b99eqee9/fbbCggI0ODBg2u2wVrk61jk5+crOTlZrVq1kt1u180336y1a9fWUrc1z9fxmDt3rtq3b6/Q0FBFR0dr0qRJOn/+fC11W3O2bt2qQYMGKTIyUgEBAXrvvfeu+pzNmzerW7dustvtateundLT02u8z9ri63i8++676t+/v1q2bCmHwyGXy6X1663xQbdV+d4o8/HHHys4OFhdu3atsf5qU1XGoqioSE8++aTatGkju92umJgYvf766zXfbC2oyngsXbpUXbp0UePGjdWqVSs98MAD+u6772qsR8uHnOXLlyslJUVpaWnasWOHunTpIrfbrePHj1/xeYcPH9Zjjz2m22+/vZY6rXm+jkVxcbH69++vw4cP65133tH+/fv1yiuv6IYbbqjlzmuGr+OxbNkypaamKi0tTV988YVee+01LV++XE888UQtd179zp49qy5dumjBggWVqj906JASExPVp08f5ebmauLEiRo7dqxlfrH7Oh5bt25V//79tXbtWuXk5KhPnz4aNGiQdu7cWcOd1jxfx6JMfn6+7rvvPvXr16+GOqt9VRmLe+65R1lZWXrttde0f/9+vfXWW2rfvn0Ndll7fB2Pjz/+WPfdd5/GjBmjPXv2aOXKldq+fbsefPDBmmvSsLiePXsaycnJ5tclJSVGZGSkMWvWrMs+5+LFi8avfvUr49VXXzWSkpKMu+66qxY6rXm+jsWiRYuMtm3bGsXFxbXVYq3ydTySk5ONvn37em1LSUkxevfuXaN91jZJxqpVq65YM3nyZOOWW27x2jZs2DDD7XbXYGf+UZnxqEhsbKwxY8aM6m/Ij3wZi2HDhhnTpk0z0tLSjC5dutRoX/5QmbFYt26d4XQ6je+++652mvKjyozHnDlzjLZt23pte/HFF40bbrihxvqy9ExOcXGxcnJylJCQYG4LDAxUQkKCsrOzL/u8mTNnKiwsTGPGjKmNNmtFVcZi9erVcrlcSk5OVnh4uG699VY9++yzKikpqa22a0xVxuNXv/qVcnJyzFNaBw8e1Nq1a/X73/++VnquS7Kzs73GTpLcbvcV/101JKWlpTp9+rRatGjh71b8YsmSJTp48KDS0tL83YpfrV69Wt27d9fs2bN1ww036Oabb9Zjjz2mc+fO+bs1v3C5XDp69KjWrl0rwzCUl5end955p0Z/htbrj3W4mpMnT6qkpKTcxzyEh4dr3759FT7no48+0muvvabc3Nxa6LD2VGUsDh48qA8//FAjR47U2rVr9fXXX+uRRx7RhQsX6v0Pr6qMx7333quTJ0/qtttuk2EYunjxosaNG2eJ01W+8ng8FY5dYWGhzp07p9DQUD91Vjf893//t86cOaN77rnH363Uuq+++kqpqan6v//7PwUHW/pXzFUdPHhQH330kUJCQrRq1SqdPHlSjzzyiL777jstWbLE3+3Vut69e2vp0qUaNmyYzp8/r4sXL2rQoEE+nwr1haVncnx1+vRpjRo1Sq+88oquv/56f7fjd6WlpQoLC9PLL7+suLg4DRs2TE8++aQWL17s79b8YvPmzXr22We1cOFC7dixQ++++64yMjL0pz/9yd+toQ5ZtmyZZsyYoRUrVigsLMzf7dSqkpIS3XvvvZoxY4Zuvvlmf7fjd6WlpQoICNDSpUvVs2dP/f73v9fzzz+vN954o0HO5uzdu1ePPvqopk+frpycHGVmZurw4cMaN25cjb2mpWP29ddfr6CgIOXl5Xltz8vLU0RERLn6AwcO6PDhwxo0aJC5rbS0VJIUHBys/fv366abbqrZpmuIr2MhSa1atVKjRo0UFBRkbuvYsaM8Ho+Ki4tls9lqtOeaVJXxeOqppzRq1CiNHTtWktSpUyedPXtWDz30kJ588kkFBjacvxkiIiIqHDuHw9GgZ3HefvttjR07VitXrix3Oq8hOH36tD7//HPt3LlT48ePl/Tjz1DDMBQcHKwNGzaob9++fu6y9rRq1Uo33HCDnE6nua1jx44yDEPffPONfvnLX/qxu9o3a9Ys9e7dW48//rgkqXPnzmrSpIluv/12PfPMM2rVqlW1v6alfyrbbDbFxcUpKyvL3FZaWqqsrCy5XK5y9R06dNCuXbuUm5trPu68807zCpLo6OjabL9a+ToW0o9Ti19//bUZ9CTpyy+/VKtWrep1wJGqNh4//PBDuSBTFgCNBvY5ty6Xy2vsJGnjxo2XHbuG4K233tLo0aP11ltvKTEx0d/t+IXD4Sj3M3TcuHFq3769cnNzFR8f7+8Wa1Xv3r117NgxnTlzxtz25ZdfKjAwUFFRUX7szD/88jO0xpY01xFvv/22YbfbjfT0dGPv3r3GQw89ZDRv3tzweDyGYRjGqFGjjNTU1Ms+30pXV/k6FkeOHDGaNWtmjB8/3ti/f7+xZs0aIywszHjmmWf89Raqla/jkZaWZjRr1sx46623jIMHDxobNmwwbrrpJuOee+7x11uoNqdPnzZ27txp7Ny505BkPP/888bOnTuNf//734ZhGEZqaqoxatQos/7gwYNG48aNjccff9z44osvjAULFhhBQUFGZmamv95CtfJ1PJYuXWoEBwcbCxYsML799lvzkZ+f76+3UG18HYufs9LVVb6OxenTp42oqChj6NChxp49e4wtW7YYv/zlL42xY8f66y1UK1/HY8mSJUZwcLCxcOFC48CBA8ZHH31kdO/e3ejZs2eN9Wj5kGMYhvHSSy8ZrVu3Nmw2m9GzZ0/jk08+MffdcccdRlJS0mWfa6WQYxi+j8W2bduM+Ph4w263G23btjX+/Oc/GxcvXqzlrmuOL+Nx4cIF4+mnnzZuuukmIyQkxIiOjjYeeeQR49SpU7XfeDXbtGmTIanco+z9JyUlGXfccUe553Tt2tWw2WxG27ZtjSVLltR63zXF1/G44447rlhfn1Xle+NSVgo5VRmLL774wkhISDBCQ0ONqKgoIyUlxfjhhx9qv/kaUJXxePHFF43Y2FgjNDTUaNWqlTFy5Ejjm2++qbEeAwyjgc2zAwCABsHSa3IAAEDDRcgBAACWRMgBAACWRMgBAACWRMgBAACWRMgBAACWRMgBAACWRMgBAACWRMgBAACWRMgBAACWRMgBAACW9P8BG4XpqBrCI1UAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sample_sizes = [1,2,4,10,30,60,120,200]\n",
    "\n",
    "for sample_size in sample_sizes:\n",
    "    fig, axis = plt.subplots()\n",
    "    axis.set_title(\"Sample size: \" + str(sample_size))\n",
    "    axis.hist(four_million_sample_means(population, sample_size), bins=300)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "1a238bb9-8cf2-4889-85b6-0a808de6674a",
   "metadata": {
    "editable": true,
    "slideshow": {
     "slide_type": ""
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: title={'center': 'Population'}>"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "comp1 = np.random.standard_normal(5000)                                              \n",
    "comp2 = 10 + 2 * np.random.standard_normal(5000)\n",
    "population2 = np.concatenate([comp1, comp2])\n",
    "                                                   \n",
    "fig, axis = plt.subplots()\n",
    "axis.set_title(\"Population\")\n",
    "axis.hist(population2, bins=300)\n",
    "axis"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "191e46c8-c344-457b-b34e-6acfe5524878",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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pJiZGffv2VXp6uiSpoqJCERERSk5OVmpqao1fvMvlUlBQkEpKSmS322u8H4CG7fzw8tWc+Grbq9sOoHGo6ed3rUdyPv/8c4WHh+uaa67RmDFjdPjwYUlSbm6uzp49q7i4OLO2c+fOat++vXJyciRJOTk56t69uxlwJMnhcMjlcmnfvn1mzfnHqKypPEZZWZlyc3Pdanx9fRUXF2fWXEhpaalcLpfbA4C11WTEhlEdwJpqFXJiYmKUkZGhrKwsLV68WIcOHdIvfvELHT9+XE6nUzabTa1atXLbJzQ0VE6nU5LkdDrdAk7l9sptF6txuVw6ffq0jh07pvLy8mprKo9xIbNnz1ZQUJD5iIiIqM3LB9CA/VRQIcQA3qdWIee2227THXfcoR49esjhcOjdd99VcXGxVq1aVV/9q1MzZsxQSUmJ+Thy5IinuwSgjl1OmCEIAdZyWUvIW7Vqpeuuu05ffPGFwsLCVFZWpuLiYreagoIChYWFSZLCwsKqrLaq/Pqnaux2uwIDA9W2bVv5+flVW1N5jAvx9/eX3W53ewDwbgQbwLouK+ScOHFCX375pa6++mr17t1bTZs2VXZ2trl9//79Onz4sGJjYyVJsbGx2rNnj9sqqI0bN8putysqKsqsOf8YlTWVx7DZbOrdu7dbTUVFhbKzs80aAN6FoAKgOrUKOb///e+1detWffXVV9q+fbt++9vfys/PT6NHj1ZQUJDGjx+vlJQUbd68Wbm5uRo7dqxiY2PVv39/SdLgwYMVFRWlu+++W5988ok2bNigxx57TElJSfL395ckTZo0SQcPHtQjjzyi/Px8LVq0SKtWrdK0adPMfqSkpOjll1/WK6+8os8++0yTJ0/WyZMnNXbs2Dp8awAAQGPWpDbFX3/9tUaPHq3/9//+n4KDgzVgwAB9+OGHCg4OliTNmzdPvr6+SkhIUGlpqRwOhxYtWmTu7+fnp3Xr1mny5MmKjY1V8+bNlZiYqFmzZpk1HTt2VGZmpqZNm6YFCxaoXbt2WrZsmRwOh1kzcuRIFRUVaebMmXI6nYqOjlZWVlaVycgArK0+RnAqj8nScqDxq9V1cqyG6+QAjVt9nqYi5AANV71dJwcAGgLm4QD4KYQcAABgSYQcAABgSbWaeAwA3uJC978C0HgQcgA0GszDAVAbnK4CAACWRMgBgJ/ACBLQOBFyAACAJRFyAKAGIlMzGdEBGhkmHgNo8AgXAC4FIzkAAMCSCDkAAMCSCDkAGjROVQG4VIQcAABgSYQcAABgSYQcAKgFTp8BjQchBwAAWBLXyQHQIDFiAuByMZIDAAAsiZADALXELR6AxoGQAwAALImQAwAALImQA6DB4VQQgLpAyAEAAJZEyAGAS8SIE9CwEXIA4DKw0gpouLgYIIAGg7AAoC4xkgMAACyJkAMAACyJkAMAACyJkAMAdYD5REDDQ8gB0CAQEgDUNUIOAACwJEIOAACwJEIOAACwJEIOAACwJEIOANQRbvEANCyEHAAAYEncuwqARzHyAaC+MJIDAAAsiZADAAAsiZADAHWMU3BAw0DIAeAxhAEA9YmQAwAALImQAwAALIkl5ACuOE5TAbgSGMkBAACWRMgBgHrALR4AzyPkAAAASyLkAAAASyLkAEA94pQV4DmEHAAAYEmEHAAAYEmEHABXFKdvAFwphBwAAGBJhBwAAGBJhBwAAGBJhBwAqGdc/RjwjMsKOXPmzJGPj4+mTp1qtp05c0ZJSUlq06aNWrRooYSEBBUUFLjtd/jwYcXHx6tZs2YKCQnRww8/rHPnzrnVbNmyRb169ZK/v786deqkjIyMKs+/cOFCRUZGKiAgQDExMdqxY8flvBwAAGAhlxxydu7cqZdeekk9evRwa582bZrWrl2r1atXa+vWrTp69KiGDx9ubi8vL1d8fLzKysq0fft2vfLKK8rIyNDMmTPNmkOHDik+Pl4DBw5UXl6epk6dqgkTJmjDhg1mzcqVK5WSkqK0tDTt3r1bPXv2lMPhUGFh4aW+JAD1iNEMAFeaj2EYRm13OnHihHr16qVFixbpySefVHR0tObPn6+SkhIFBwdrxYoVGjFihCQpPz9fXbp0UU5Ojvr376/169dryJAhOnr0qEJDQyVJS5Ys0fTp01VUVCSbzabp06crMzNTe/fuNZ9z1KhRKi4uVlZWliQpJiZGffv2VXp6uiSpoqJCERERSk5OVmpqao1eh8vlUlBQkEpKSmS322v7NgCoBQKO9NWceE93AbCEmn5+X9JITlJSkuLj4xUXF+fWnpubq7Nnz7q1d+7cWe3bt1dOTo4kKScnR927dzcDjiQ5HA65XC7t27fPrPnxsR0Oh3mMsrIy5ebmutX4+voqLi7OrKlOaWmpXC6X2wMAAFhTk9ru8MYbb2j37t3auXNnlW1Op1M2m02tWrVyaw8NDZXT6TRrzg84ldsrt12sxuVy6fTp0/r+++9VXl5ebU1+fv4F+z579mw98cQTNXuhAACgUavVSM6RI0f00EMP6fXXX1dAQEB99anezJgxQyUlJebjyJEjnu4S4BU4VQXAE2oVcnJzc1VYWKhevXqpSZMmatKkibZu3aoXXnhBTZo0UWhoqMrKylRcXOy2X0FBgcLCwiRJYWFhVVZbVX79UzV2u12BgYFq27at/Pz8qq2pPEZ1/P39Zbfb3R4AcKUQ9oArq1YhZ9CgQdqzZ4/y8vLMR58+fTRmzBjz302bNlV2dra5z/79+3X48GHFxsZKkmJjY7Vnzx63VVAbN26U3W5XVFSUWXP+MSprKo9hs9nUu3dvt5qKigplZ2ebNQAAwLvVak5Oy5Yt1a1bN7e25s2bq02bNmb7+PHjlZKSotatW8tutys5OVmxsbHq37+/JGnw4MGKiorS3Xffrblz58rpdOqxxx5TUlKS/P39JUmTJk1Senq6HnnkEY0bN06bNm3SqlWrlJn5n7+CUlJSlJiYqD59+qhfv36aP3++Tp48qbFjx17WGwIAAKyh1hOPf8q8efPk6+urhIQElZaWyuFwaNGiReZ2Pz8/rVu3TpMnT1ZsbKyaN2+uxMREzZo1y6zp2LGjMjMzNW3aNC1YsEDt2rXTsmXL5HA4zJqRI0eqqKhIM2fOlNPpVHR0tLKysqpMRgYAAN7pkq6TYxVcJwe4MpiL8h9cKwe4fPV6nRwAAICGrs5PVwFAJUZwAHgSIzkAcAVxDy/gyiHkAAAASyLkAAAASyLkAAAASyLkAAAASyLkAAAASyLkAAAASyLkAKgXLJO+ON4foP4RcgAAgCURcgAAgCVxWwcAdYrTMAAaCkZyAMBDuMUDUL8IOQAAwJIIOQAAwJIIOQAAwJIIOQAAwJIIOQDgYUw+BuoHIQcAAFgSIQcAAFgSIQdAneG0C4CGhJADAAAsiZADAAAsiZADAAAsiZADAA0A97EC6h53IQdw2fhwBtAQMZIDAAAsiZADAAAsiZADAAAsiZADAAAsiZADAAAsiZADAAAsiZAD4LKwfBxAQ0XIAYAGhNAI1B1CDgAAsCRCDgAAsCRCDgAAsCRCDgA0MNysE6gbhBwAAGBJhBwAAGBJhBwAAGBJTTzdAQCNE3NGADR0jOQAAABLIuQAAABLIuQAAABLIuQAqDXm4wBoDAg5ANBAESaBy0PIAQAAlkTIAQAAlkTIAQAAlkTIAQAAlkTIAYAGjDuSA5eO2zoAqDE+bAE0JozkAAAASyLkAAAASyLkAAAASyLkAAAAS6pVyFm8eLF69Oghu90uu92u2NhYrV+/3tx+5swZJSUlqU2bNmrRooUSEhJUUFDgdozDhw8rPj5ezZo1U0hIiB5++GGdO3fOrWbLli3q1auX/P391alTJ2VkZFTpy8KFCxUZGamAgADFxMRox44dtXkpANCoMOkbqL1ahZx27dppzpw5ys3N1a5du3TzzTfrN7/5jfbt2ydJmjZtmtauXavVq1dr69atOnr0qIYPH27uX15ervj4eJWVlWn79u165ZVXlJGRoZkzZ5o1hw4dUnx8vAYOHKi8vDxNnTpVEyZM0IYNG8yalStXKiUlRWlpadq9e7d69uwph8OhwsLCy30/AFwAH7IAGhsfwzCMyzlA69at9eyzz2rEiBEKDg7WihUrNGLECElSfn6+unTpopycHPXv31/r16/XkCFDdPToUYWGhkqSlixZounTp6uoqEg2m03Tp09XZmam9u7daz7HqFGjVFxcrKysLElSTEyM+vbtq/T0dElSRUWFIiIilJycrNTU1Br33eVyKSgoSCUlJbLb7ZfzNgCWR8jxvK/mxHu6C0CDUNPP70uek1NeXq433nhDJ0+eVGxsrHJzc3X27FnFxcWZNZ07d1b79u2Vk5MjScrJyVH37t3NgCNJDodDLpfLHA3KyclxO0ZlTeUxysrKlJub61bj6+uruLg4s+ZCSktL5XK53B4AAMCaah1y9uzZoxYtWsjf31+TJk3SmjVrFBUVJafTKZvNplatWrnVh4aGyul0SpKcTqdbwKncXrntYjUul0unT5/WsWPHVF5eXm1N5TEuZPbs2QoKCjIfERERtX35AACgkah1yLn++uuVl5enjz76SJMnT1ZiYqL+9a9/1Uff6tyMGTNUUlJiPo4cOeLpLgEAgHpS69s62Gw2derUSZLUu3dv7dy5UwsWLNDIkSNVVlam4uJit9GcgoIChYWFSZLCwsKqrIKqXH11fs2PV2QVFBTIbrcrMDBQfn5+8vPzq7am8hgX4u/vL39//9q+ZAAA0Ahd9nVyKioqVFpaqt69e6tp06bKzs42t+3fv1+HDx9WbGysJCk2NlZ79uxxWwW1ceNG2e12RUVFmTXnH6OypvIYNptNvXv3dqupqKhQdna2WQMAVsTNOoHaqdVIzowZM3Tbbbepffv2On78uFasWKEtW7Zow4YNCgoK0vjx45WSkqLWrVvLbrcrOTlZsbGx6t+/vyRp8ODBioqK0t133625c+fK6XTqscceU1JSkjnCMmnSJKWnp+uRRx7RuHHjtGnTJq1atUqZmf/5wU5JSVFiYqL69Omjfv36af78+Tp58qTGjh1bh28NAABozGoVcgoLC3XPPffo22+/VVBQkHr06KENGzbolltukSTNmzdPvr6+SkhIUGlpqRwOhxYtWmTu7+fnp3Xr1mny5MmKjY1V8+bNlZiYqFmzZpk1HTt2VGZmpqZNm6YFCxaoXbt2WrZsmRwOh1kzcuRIFRUVaebMmXI6nYqOjlZWVlaVycgALh8jBwAaq8u+Tk5jxnVygJ9GyGl4uF4OvF29XycHAOAZBE+gZgg5AADAkgg5AADAkgg5AADAkgg5AC6IuR8AGjNCDgAAsCRCDgAAsCRCDgAAsCRCDgAAsCRCDgAAsCRCDgA0QtyRHPhptbpBJwDvwIcnACtgJAcAAFgSIQcAAFgSIQcAAFgSIQcAAFgSIQcAGjEmiQMXxuoqACY+MAFYCSM5AADAkgg5AADAkgg5AADAkgg5AADAkgg5AADAkgg5ANDIcbNOoHqEHAAAYEmEHAAAYEmEHACSuBAgAOsh5AAAAEsi5AAAAEsi5AAAAEsi5ACARTCvCnDHXcgBL8cHIwCrYiQHAABYEiEHAABYEiEHAABYEiEHACyE+1gB/0HIAQAAlkTIAbwYf/EDsDJCDgAAsCRCDgAAsCRCDgAAsCRCDgAAsCRCDgBYEJPKAUIOAACwKEIOAACwJO5CDnghTmUA8AaM5AAAAEsi5ACARXEfK3g7Qg4AALAkQg4AALAkQg7gZTh9AcBbEHIAAIAlEXIAAIAlEXIAAIAlEXIAAIAlEXIAwOKYbA5vRcgBAACWxL2rAC/BX/MAvE2tRnJmz56tvn37qmXLlgoJCdGwYcO0f/9+t5ozZ84oKSlJbdq0UYsWLZSQkKCCggK3msOHDys+Pl7NmjVTSEiIHn74YZ07d86tZsuWLerVq5f8/f3VqVMnZWRkVOnPwoULFRkZqYCAAMXExGjHjh21eTkAAMDCahVytm7dqqSkJH344YfauHGjzp49q8GDB+vkyZNmzbRp07R27VqtXr1aW7du1dGjRzV8+HBze3l5ueLj41VWVqbt27frlVdeUUZGhmbOnGnWHDp0SPHx8Ro4cKDy8vI0depUTZgwQRs2bDBrVq5cqZSUFKWlpWn37t3q2bOnHA6HCgsLL+f9AABL4j5W8EY+hmEYl7pzUVGRQkJCtHXrVt10000qKSlRcHCwVqxYoREjRkiS8vPz1aVLF+Xk5Kh///5av369hgwZoqNHjyo0NFSStGTJEk2fPl1FRUWy2WyaPn26MjMztXfvXvO5Ro0apeLiYmVlZUmSYmJi1LdvX6Wnp0uSKioqFBERoeTkZKWmptao/y6XS0FBQSopKZHdbr/UtwFoFPiAgyR9NSfe010ALltNP78va+JxSUmJJKl169aSpNzcXJ09e1ZxcXFmTefOndW+fXvl5ORIknJyctS9e3cz4EiSw+GQy+XSvn37zJrzj1FZU3mMsrIy5ebmutX4+voqLi7OrKlOaWmpXC6X2wMAAFjTJYeciooKTZ06VTfeeKO6desmSXI6nbLZbGrVqpVbbWhoqJxOp1lzfsCp3F657WI1LpdLp0+f1rFjx1ReXl5tTeUxqjN79mwFBQWZj4iIiNq/cAAA0ChccshJSkrS3r179cYbb9Rlf+rVjBkzVFJSYj6OHDni6S4BAIB6cklLyKdMmaJ169Zp27ZtateundkeFhamsrIyFRcXu43mFBQUKCwszKz58SqoytVX59f8eEVWQUGB7Ha7AgMD5efnJz8/v2prKo9RHX9/f/n7+9f+BQMAgEanViM5hmFoypQpWrNmjTZt2qSOHTu6be/du7eaNm2q7Oxss23//v06fPiwYmNjJUmxsbHas2eP2yqojRs3ym63Kyoqyqw5/xiVNZXHsNls6t27t1tNRUWFsrOzzRoA/8GkYwDeqFarqx544AGtWLFCb7/9tq6//nqzPSgoSIGBgZKkyZMn691331VGRobsdruSk5MlSdu3b5f0wxLy6OhohYeHa+7cuXI6nbr77rs1YcIEPf3005J+WELerVs3JSUlady4cdq0aZMefPBBZWZmyuFwSPphCXliYqJeeukl9evXT/Pnz9eqVauUn59fZa7OhbC6ClZHuEF1WGGFxq6mn9+1Ol21ePFiSdKvfvUrt/bly5fr3nvvlSTNmzdPvr6+SkhIUGlpqRwOhxYtWmTW+vn5ad26dZo8ebJiY2PVvHlzJSYmatasWWZNx44dlZmZqWnTpmnBggVq166dli1bZgYcSRo5cqSKioo0c+ZMOZ1ORUdHKysrq8YBBwAAWNtlXSensWMkB1bHSA6qw0gOGrsrcp0cAACAhoqQAwAALImQAwAALImQAwBehpt1wlsQcgAAgCURcgAAgCURcgCL4nQEAG9HyAEAAJZEyAEAAJZEyAEAL8UpTVgdIQcAAFgSIQcAAFgSIQcAAFhSE093AEDdYp4FAPyAkRwA8GLc4gFWRsgBAACWRMgBAACWRMgBLITTDrhU/N+BFRFyAACAJRFyAACAJRFyAACAJRFyAACAJRFyAACAJXHFY8ACWBkDAFUxkgMAACyJkAMAkMQtHmA9hBwAAGBJhBwAAGBJhBygkeP0AgBUj5ADAHBDcIZVEHIAAIAlEXIAAIAlEXIAAIAlccVjoJFi3gQAXBwjOQAAwJIIOQCAKrj6MayAkAMAACyJkAM0QvyFDQA/jZADALggAjUaM0IOAACwJEIOAACwJEIOAACwJEIOAACwJK54DDQiTAIFgJpjJAcAcFFcGBCNFSEHaCT4kAGA2iHkAAAASyLkAAAASyLkAAAASyLkAABqhHlhaGwIOQAAwJIIOQAAwJK4GCDQwHGKAAAuDSM5AADAkgg5AIAa4+rHaEwIOUADxocJAFw6Qg4AALAkQg4AoNYYZURjUOuQs23bNg0dOlTh4eHy8fHRW2+95bbdMAzNnDlTV199tQIDAxUXF6fPP//crea7777TmDFjZLfb1apVK40fP14nTpxwq/n000/1i1/8QgEBAYqIiNDcuXOr9GX16tXq3LmzAgIC1L17d7377ru1fTkAAMCiah1yTp48qZ49e2rhwoXVbp87d65eeOEFLVmyRB999JGaN28uh8OhM2fOmDVjxozRvn37tHHjRq1bt07btm3TfffdZ253uVwaPHiwOnTooNzcXD377LN6/PHHtXTpUrNm+/btGj16tMaPH6+PP/5Yw4YN07Bhw7R3797aviQAAGBBPoZhGJe8s4+P1qxZo2HDhkn6YRQnPDxc//3f/63f//73kqSSkhKFhoYqIyNDo0aN0meffaaoqCjt3LlTffr0kSRlZWXp17/+tb7++muFh4dr8eLF+sMf/iCn0ymbzSZJSk1N1VtvvaX8/HxJ0siRI3Xy5EmtW7fO7E///v0VHR2tJUuW1Kj/LpdLQUFBKikpkd1uv9S3AahznApAY/LVnHhPdwFepqaf33U6J+fQoUNyOp2Ki4sz24KCghQTE6OcnBxJUk5Ojlq1amUGHEmKi4uTr6+vPvroI7PmpptuMgOOJDkcDu3fv1/ff/+9WXP+81TWVD5PdUpLS+VyudweAADAmuo05DidTklSaGioW3toaKi5zel0KiQkxG17kyZN1Lp1a7ea6o5x/nNcqKZye3Vmz56toKAg8xEREVHblwgAABoJr1pdNWPGDJWUlJiPI0eOeLpLAACgntRpyAkLC5MkFRQUuLUXFBSY28LCwlRYWOi2/dy5c/ruu+/caqo7xvnPcaGayu3V8ff3l91ud3sAAABrqtOQ07FjR4WFhSk7O9tsc7lc+uijjxQbGytJio2NVXFxsXJzc82aTZs2qaKiQjExMWbNtm3bdPbsWbNm48aNuv7663XVVVeZNec/T2VN5fMAjRWTjtHY8H8WDVWtQ86JEyeUl5envLw8ST9MNs7Ly9Phw4fl4+OjqVOn6sknn9Q777yjPXv26J577lF4eLi5AqtLly669dZbNXHiRO3YsUMffPCBpkyZolGjRik8PFyS9Lvf/U42m03jx4/Xvn37tHLlSi1YsEApKSlmPx566CFlZWXpueeeU35+vh5//HHt2rVLU6ZMufx3BQAANHpNarvDrl27NHDgQPPryuCRmJiojIwMPfLIIzp58qTuu+8+FRcXa8CAAcrKylJAQIC5z+uvv64pU6Zo0KBB8vX1VUJCgl544QVze1BQkN577z0lJSWpd+/eatu2rWbOnOl2LZ0bbrhBK1as0GOPPaZHH31U//Vf/6W33npL3bp1u6Q3AgAAWMtlXSenseM6OWhIGPJHY8a1cnAleeQ6OQAA7xSZmklQR4NDyAEAAJZEyAEAAJZEyAEaAIb5YRX8X0ZDQsgBAACWRMgBAACWVOvr5ACoOwztA0D9YSQHAFCnWE6OhoKQAwAALImQAwCoF4zmwNMIOYCH8AEAAPWLkAMAACyJkAMAACyJJeTAFcZpKniTyv/v3KUcnsBIDgAAsCRCDgAAsCRCDgAAsCRCDnAFMR8H3or/+/AEQg4AALAkVlcBVwB/xQKstMKVx0gOAACwJEIOAACwJEIOUM84VQW442cCVwohBwAAWBIhBwBwxUWmZjKig3pHyAEAAJbEEnKgnvBXKgB4FiM5QD0g4AA1w88K6hMhBwAAWBIhBwAAWBJzcoA6xNA7UHvc7gH1hZEcAABgSYQcoI4wigNcHn6GUNcIOQAAwJKYkwNcJv76BOoO83NQlxjJAQAAlkTIAQA0OIyQoi4QcoDLwC9iAGi4mJMDXALCDVD/mJ+Dy8VIDgCgQeOPClwqQg5QS/zCBYDGgdNVQA0RbgDP4dQVLgUjOQCARoM/NlAbhBygBvjFCgCNDyEHANCoRKZm8ocHaoQ5OcBF8IsUABovRnKACyDgAA0bP6P4KYzkAAAarfODDiuv8GOEHOA8/GUIANbB6SoAgCUwIRk/xkgOvB6/FAFriUzN5NQVJDGSAwCwIEZ1IBFy4MX4JQhYHz/j3o3TVfAq/MIDvA8rsLwXIzkAAK/BCK53YSQHlscvNAA/xuiOdyDkwJIINgBqitVY1kXIgWUQbABcKkZ2rKnRh5yFCxfq2WefldPpVM+ePfXiiy+qX79+nu4WrgBCDYD6QOCxjkYdclauXKmUlBQtWbJEMTExmj9/vhwOh/bv36+QkBBPdw/1hHAD4Eq50O8bwk/j4GMYhuHpTlyqmJgY9e3bV+np6ZKkiooKRUREKDk5WampqT+5v8vlUlBQkEpKSmS32+u7u6gFggyAxobgc+XU9PO70Y7klJWVKTc3VzNmzDDbfH19FRcXp5ycnGr3KS0tVWlpqfl1SUmJpB/eLNS/bmkbPN0FAKg37aetrvU+e59w1ENPrK/yc/unxmkabcg5duyYysvLFRoa6tYeGhqq/Pz8aveZPXu2nnjiiSrtERER9dJHAAAuJmi+p3vQuB0/flxBQUEX3N5oQ86lmDFjhlJSUsyvKyoq9N1336lNmzby8fGR9EM6jIiI0JEjRziF5WF8LxoOvhcNB9+LhoPvhecYhqHjx48rPDz8onWNNuS0bdtWfn5+KigocGsvKChQWFhYtfv4+/vL39/fra1Vq1bV1trtdv7TNhB8LxoOvhcNB9+LhoPvhWdcbASnUqO9rYPNZlPv3r2VnZ1ttlVUVCg7O1uxsbEe7BkAAGgIGu1IjiSlpKQoMTFRffr0Ub9+/TR//nydPHlSY8eO9XTXAACAhzXqkDNy5EgVFRVp5syZcjqdio6OVlZWVpXJyLXh7++vtLS0Kqe1cOXxvWg4+F40HHwvGg6+Fw1fo75ODgAAwIU02jk5AAAAF0PIAQAAlkTIAQAAlkTIAQAAlkTIAQAAlkTIOc/ChQsVGRmpgIAAxcTEaMeOHZ7ukleaPXu2+vbtq5YtWyokJETDhg3T/v37Pd0trzdnzhz5+Pho6tSpnu6K1/rmm2901113qU2bNgoMDFT37t21a9cuT3fL65SXl+uPf/yjOnbsqMDAQF177bX605/+9JM3i8SVR8j5PytXrlRKSorS0tK0e/du9ezZUw6HQ4WFhZ7umtfZunWrkpKS9OGHH2rjxo06e/asBg8erJMnT3q6a15r586deumll9SjRw9Pd8Vrff/997rxxhvVtGlTrV+/Xv/617/03HPP6aqrrvJ017zOM888o8WLFys9PV2fffaZnnnmGc2dO1cvvviip7uGH+E6Of8nJiZGffv2VXp6uqQfbhERERGh5ORkpaamerh33q2oqEghISHaunWrbrrpJk93x+ucOHFCvXr10qJFi/Tkk08qOjpa8+fP93S3vE5qaqo++OAD/fOf//R0V7zekCFDFBoaqr/85S9mW0JCggIDA/Xaa695sGf4MUZyJJWVlSk3N1dxcXFmm6+vr+Li4pSTk+PBnkGSSkpKJEmtW7f2cE+8U1JSkuLj491+PnDlvfPOO+rTp4/uuOMOhYSE6Oc//7lefvllT3fLK91www3Kzs7WgQMHJEmffPKJ3n//fd12220e7hl+rFHf1qGuHDt2TOXl5VVuBxEaGqr8/HwP9QrSDyNqU6dO1Y033qhu3bp5ujte54033tDu3bu1c+dOT3fF6x08eFCLFy9WSkqKHn30Ue3cuVMPPvigbDabEhMTPd09r5KamiqXy6XOnTvLz89P5eXleuqppzRmzBhPdw0/QshBg5aUlKS9e/fq/fff93RXvM6RI0f00EMPaePGjQoICPB0d7xeRUWF+vTpo6efflqS9POf/1x79+7VkiVLCDlX2KpVq/T6669rxYoV6tq1q/Ly8jR16lSFh4fzvWhgCDmS2rZtKz8/PxUUFLi1FxQUKCwszEO9wpQpU7Ru3Tpt27ZN7dq183R3vE5ubq4KCwvVq1cvs628vFzbtm1Tenq6SktL5efn58Eeeperr75aUVFRbm1dunTRm2++6aEeea+HH35YqampGjVqlCSpe/fu+ve//63Zs2cTchoY5uRIstls6t27t7Kzs822iooKZWdnKzY21oM9806GYWjKlClas2aNNm3apI4dO3q6S15p0KBB2rNnj/Ly8sxHnz59NGbMGOXl5RFwrrAbb7yxyqUUDhw4oA4dOnioR97r1KlT8vV1//j08/NTRUWFh3qEC2Ek5/+kpKQoMTFRffr0Ub9+/TR//nydPHlSY8eO9XTXvE5SUpJWrFiht99+Wy1btpTT6ZQkBQUFKTAw0MO98x4tW7asMg+qefPmatOmDfOjPGDatGm64YYb9PTTT+vOO+/Ujh07tHTpUi1dutTTXfM6Q4cO1VNPPaX27dura9eu+vjjj/X8889r3Lhxnu4afoQl5OdJT0/Xs88+K6fTqejoaL3wwguKiYnxdLe8jo+PT7Xty5cv17333ntlOwM3v/rVr1hC7kHr1q3TjBkz9Pnnn6tjx45KSUnRxIkTPd0tr3P8+HH98Y9/1Jo1a1RYWKjw8HCNHj1aM2fOlM1m83T3cB5CDgAAsCTm5AAAAEsi5AAAAEsi5AAAAEsi5AAAAEsi5AAAAEsi5AAAAEsi5AAAAEsi5AAAAEsi5AAAAEsi5AAAAEsi5AAAAEv6/5dZTXl9NVssAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sample_sizes = [1,2,4,10,30,60,120,200]\n",
    "\n",
    "for sample_size in sample_sizes:\n",
    "    fig, axis = plt.subplots()\n",
    "    axis.set_title(\"Sample size: \" + str(sample_size))\n",
    "    axis.hist(four_million_sample_means(population2, sample_size), bins=300)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "72e3b082-ea53-43e4-9f71-55f31c0e50a2",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python ML",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}