Day06_Data_Manipulation_with_NumPy.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<a href=\"https://apssdc.in\"><img src=\"https://camo.githubusercontent.com/e7501c5948d48f88dad8ab2ab6bd448e1cfd6c79/68747470733a2f2f64726976652e676f6f676c652e636f6d2f75633f6578706f72743d646f776e6c6f61642669643d3135414b51365f2d42697857344b366d4c36525070684635454b58715946327a6a\" width=\"900\" align=\"center\"></a>\n",
    "\n",
    "<h1><center>Data Manipulation with NumPy\n",
    "</center></h1>\n",
    "<img src=\"https://techscript24.com/wp-content/uploads/2020/10/86498201-a8bd8680-bd39-11ea-9d08-66b610a8dc01.png\" width=\"150\" align=\"center\">\n",
    "\n",
    "\n",
    "## Day Objectives\n",
    "\n",
    "- Introduction\n",
    "- NumPy Arrays\n",
    "- NumPy Basics\n",
    "- Math\n",
    "- Indexing\n",
    "- Random\n",
    "- Filtering\n",
    "- Statistics\n",
    "- Aggregation\n",
    "- Saving Data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "arr = np.array([1, 5, 8, 6, 55])\n",
    "arr2 = np.array((1, 5, 8, 6, 55))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(numpy.ndarray, numpy.ndarray)"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "type(arr), type(arr2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "arr.ndim"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(5,)"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "arr.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "dtype('int32')"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "arr.dtype"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "5"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "arr.size"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "20"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "arr.nbytes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['1' '5' '8' '6' '55' 'apssdc']\n"
     ]
    }
   ],
   "source": [
    "arr = np.array([1, 5, 8, 6, 55, 'apssdc'])\n",
    "\n",
    "print(arr)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 1. +0.j,  5. +0.j,  8. +0.j,  6. +0.j, 55. +0.j,  5.5+0.j,\n",
       "        5.6+0.j,  8.5+0.j,  5. +3.j])"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.array([1, 5, 8, 6, 55, 5.5, 5.6, 8.5, 5 + 3j])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 1. ,  5. ,  8. ,  6. , 55. ,  5.2])"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.array([1, 5, 8, 6, 55, 5.2])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "dtype('<U11')"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "arr.dtype"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array(['1', '5', '8', '6', '55', 'apssdc', '5'], dtype='<U11')"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.append(arr, 5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 1,  5,  8, 66, 88, 66], dtype=int16)"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.array([1, 5, 8, 66, 88, 66], dtype = 'int16')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1, 2, 3, 4, 5],\n",
       "       [1, 3, 6, 9, 6]])"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a2 = np.array([[1, 2, 3, 4, 5],\n",
    "              [1, 3, 6, 9, 6]])\n",
    "\n",
    "a2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(2, 5)"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a2.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1, 2],\n",
       "       [3, 4],\n",
       "       [5, 1],\n",
       "       [3, 6],\n",
       "       [9, 6]])"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a2.reshape(5, 2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1],\n",
       "       [2],\n",
       "       [3],\n",
       "       [4],\n",
       "       [5],\n",
       "       [1],\n",
       "       [3],\n",
       "       [6],\n",
       "       [9],\n",
       "       [6]])"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a2.reshape(10, 1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1, 2, 3, 4, 5])"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a2[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a2[0][0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(900,)"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a1 = np.arange(10, 100, 0.1)\n",
    "\n",
    "a1.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[[10. , 10.1, 10.2],\n",
       "        [10.3, 10.4, 10.5],\n",
       "        [10.6, 10.7, 10.8],\n",
       "        [10.9, 11. , 11.1],\n",
       "        [11.2, 11.3, 11.4],\n",
       "        [11.5, 11.6, 11.7],\n",
       "        [11.8, 11.9, 12. ],\n",
       "        [12.1, 12.2, 12.3],\n",
       "        [12.4, 12.5, 12.6],\n",
       "        [12.7, 12.8, 12.9],\n",
       "        [13. , 13.1, 13.2],\n",
       "        [13.3, 13.4, 13.5],\n",
       "        [13.6, 13.7, 13.8],\n",
       "        [13.9, 14. , 14.1],\n",
       "        [14.2, 14.3, 14.4],\n",
       "        [14.5, 14.6, 14.7],\n",
       "        [14.8, 14.9, 15. ],\n",
       "        [15.1, 15.2, 15.3],\n",
       "        [15.4, 15.5, 15.6],\n",
       "        [15.7, 15.8, 15.9],\n",
       "        [16. , 16.1, 16.2],\n",
       "        [16.3, 16.4, 16.5],\n",
       "        [16.6, 16.7, 16.8],\n",
       "        [16.9, 17. , 17.1],\n",
       "        [17.2, 17.3, 17.4],\n",
       "        [17.5, 17.6, 17.7],\n",
       "        [17.8, 17.9, 18. ],\n",
       "        [18.1, 18.2, 18.3],\n",
       "        [18.4, 18.5, 18.6],\n",
       "        [18.7, 18.8, 18.9],\n",
       "        [19. , 19.1, 19.2],\n",
       "        [19.3, 19.4, 19.5],\n",
       "        [19.6, 19.7, 19.8],\n",
       "        [19.9, 20. , 20.1],\n",
       "        [20.2, 20.3, 20.4],\n",
       "        [20.5, 20.6, 20.7],\n",
       "        [20.8, 20.9, 21. ],\n",
       "        [21.1, 21.2, 21.3],\n",
       "        [21.4, 21.5, 21.6],\n",
       "        [21.7, 21.8, 21.9],\n",
       "        [22. , 22.1, 22.2],\n",
       "        [22.3, 22.4, 22.5],\n",
       "        [22.6, 22.7, 22.8],\n",
       "        [22.9, 23. , 23.1],\n",
       "        [23.2, 23.3, 23.4],\n",
       "        [23.5, 23.6, 23.7],\n",
       "        [23.8, 23.9, 24. ],\n",
       "        [24.1, 24.2, 24.3],\n",
       "        [24.4, 24.5, 24.6],\n",
       "        [24.7, 24.8, 24.9],\n",
       "        [25. , 25.1, 25.2],\n",
       "        [25.3, 25.4, 25.5],\n",
       "        [25.6, 25.7, 25.8],\n",
       "        [25.9, 26. , 26.1],\n",
       "        [26.2, 26.3, 26.4],\n",
       "        [26.5, 26.6, 26.7],\n",
       "        [26.8, 26.9, 27. ],\n",
       "        [27.1, 27.2, 27.3],\n",
       "        [27.4, 27.5, 27.6],\n",
       "        [27.7, 27.8, 27.9],\n",
       "        [28. , 28.1, 28.2],\n",
       "        [28.3, 28.4, 28.5],\n",
       "        [28.6, 28.7, 28.8],\n",
       "        [28.9, 29. , 29.1],\n",
       "        [29.2, 29.3, 29.4],\n",
       "        [29.5, 29.6, 29.7],\n",
       "        [29.8, 29.9, 30. ],\n",
       "        [30.1, 30.2, 30.3],\n",
       "        [30.4, 30.5, 30.6],\n",
       "        [30.7, 30.8, 30.9],\n",
       "        [31. , 31.1, 31.2],\n",
       "        [31.3, 31.4, 31.5],\n",
       "        [31.6, 31.7, 31.8],\n",
       "        [31.9, 32. , 32.1],\n",
       "        [32.2, 32.3, 32.4],\n",
       "        [32.5, 32.6, 32.7],\n",
       "        [32.8, 32.9, 33. ],\n",
       "        [33.1, 33.2, 33.3],\n",
       "        [33.4, 33.5, 33.6],\n",
       "        [33.7, 33.8, 33.9],\n",
       "        [34. , 34.1, 34.2],\n",
       "        [34.3, 34.4, 34.5],\n",
       "        [34.6, 34.7, 34.8],\n",
       "        [34.9, 35. , 35.1],\n",
       "        [35.2, 35.3, 35.4],\n",
       "        [35.5, 35.6, 35.7],\n",
       "        [35.8, 35.9, 36. ],\n",
       "        [36.1, 36.2, 36.3],\n",
       "        [36.4, 36.5, 36.6],\n",
       "        [36.7, 36.8, 36.9],\n",
       "        [37. , 37.1, 37.2],\n",
       "        [37.3, 37.4, 37.5],\n",
       "        [37.6, 37.7, 37.8],\n",
       "        [37.9, 38. , 38.1],\n",
       "        [38.2, 38.3, 38.4],\n",
       "        [38.5, 38.6, 38.7],\n",
       "        [38.8, 38.9, 39. ],\n",
       "        [39.1, 39.2, 39.3],\n",
       "        [39.4, 39.5, 39.6],\n",
       "        [39.7, 39.8, 39.9]],\n",
       "\n",
       "       [[40. , 40.1, 40.2],\n",
       "        [40.3, 40.4, 40.5],\n",
       "        [40.6, 40.7, 40.8],\n",
       "        [40.9, 41. , 41.1],\n",
       "        [41.2, 41.3, 41.4],\n",
       "        [41.5, 41.6, 41.7],\n",
       "        [41.8, 41.9, 42. ],\n",
       "        [42.1, 42.2, 42.3],\n",
       "        [42.4, 42.5, 42.6],\n",
       "        [42.7, 42.8, 42.9],\n",
       "        [43. , 43.1, 43.2],\n",
       "        [43.3, 43.4, 43.5],\n",
       "        [43.6, 43.7, 43.8],\n",
       "        [43.9, 44. , 44.1],\n",
       "        [44.2, 44.3, 44.4],\n",
       "        [44.5, 44.6, 44.7],\n",
       "        [44.8, 44.9, 45. ],\n",
       "        [45.1, 45.2, 45.3],\n",
       "        [45.4, 45.5, 45.6],\n",
       "        [45.7, 45.8, 45.9],\n",
       "        [46. , 46.1, 46.2],\n",
       "        [46.3, 46.4, 46.5],\n",
       "        [46.6, 46.7, 46.8],\n",
       "        [46.9, 47. , 47.1],\n",
       "        [47.2, 47.3, 47.4],\n",
       "        [47.5, 47.6, 47.7],\n",
       "        [47.8, 47.9, 48. ],\n",
       "        [48.1, 48.2, 48.3],\n",
       "        [48.4, 48.5, 48.6],\n",
       "        [48.7, 48.8, 48.9],\n",
       "        [49. , 49.1, 49.2],\n",
       "        [49.3, 49.4, 49.5],\n",
       "        [49.6, 49.7, 49.8],\n",
       "        [49.9, 50. , 50.1],\n",
       "        [50.2, 50.3, 50.4],\n",
       "        [50.5, 50.6, 50.7],\n",
       "        [50.8, 50.9, 51. ],\n",
       "        [51.1, 51.2, 51.3],\n",
       "        [51.4, 51.5, 51.6],\n",
       "        [51.7, 51.8, 51.9],\n",
       "        [52. , 52.1, 52.2],\n",
       "        [52.3, 52.4, 52.5],\n",
       "        [52.6, 52.7, 52.8],\n",
       "        [52.9, 53. , 53.1],\n",
       "        [53.2, 53.3, 53.4],\n",
       "        [53.5, 53.6, 53.7],\n",
       "        [53.8, 53.9, 54. ],\n",
       "        [54.1, 54.2, 54.3],\n",
       "        [54.4, 54.5, 54.6],\n",
       "        [54.7, 54.8, 54.9],\n",
       "        [55. , 55.1, 55.2],\n",
       "        [55.3, 55.4, 55.5],\n",
       "        [55.6, 55.7, 55.8],\n",
       "        [55.9, 56. , 56.1],\n",
       "        [56.2, 56.3, 56.4],\n",
       "        [56.5, 56.6, 56.7],\n",
       "        [56.8, 56.9, 57. ],\n",
       "        [57.1, 57.2, 57.3],\n",
       "        [57.4, 57.5, 57.6],\n",
       "        [57.7, 57.8, 57.9],\n",
       "        [58. , 58.1, 58.2],\n",
       "        [58.3, 58.4, 58.5],\n",
       "        [58.6, 58.7, 58.8],\n",
       "        [58.9, 59. , 59.1],\n",
       "        [59.2, 59.3, 59.4],\n",
       "        [59.5, 59.6, 59.7],\n",
       "        [59.8, 59.9, 60. ],\n",
       "        [60.1, 60.2, 60.3],\n",
       "        [60.4, 60.5, 60.6],\n",
       "        [60.7, 60.8, 60.9],\n",
       "        [61. , 61.1, 61.2],\n",
       "        [61.3, 61.4, 61.5],\n",
       "        [61.6, 61.7, 61.8],\n",
       "        [61.9, 62. , 62.1],\n",
       "        [62.2, 62.3, 62.4],\n",
       "        [62.5, 62.6, 62.7],\n",
       "        [62.8, 62.9, 63. ],\n",
       "        [63.1, 63.2, 63.3],\n",
       "        [63.4, 63.5, 63.6],\n",
       "        [63.7, 63.8, 63.9],\n",
       "        [64. , 64.1, 64.2],\n",
       "        [64.3, 64.4, 64.5],\n",
       "        [64.6, 64.7, 64.8],\n",
       "        [64.9, 65. , 65.1],\n",
       "        [65.2, 65.3, 65.4],\n",
       "        [65.5, 65.6, 65.7],\n",
       "        [65.8, 65.9, 66. ],\n",
       "        [66.1, 66.2, 66.3],\n",
       "        [66.4, 66.5, 66.6],\n",
       "        [66.7, 66.8, 66.9],\n",
       "        [67. , 67.1, 67.2],\n",
       "        [67.3, 67.4, 67.5],\n",
       "        [67.6, 67.7, 67.8],\n",
       "        [67.9, 68. , 68.1],\n",
       "        [68.2, 68.3, 68.4],\n",
       "        [68.5, 68.6, 68.7],\n",
       "        [68.8, 68.9, 69. ],\n",
       "        [69.1, 69.2, 69.3],\n",
       "        [69.4, 69.5, 69.6],\n",
       "        [69.7, 69.8, 69.9]],\n",
       "\n",
       "       [[70. , 70.1, 70.2],\n",
       "        [70.3, 70.4, 70.5],\n",
       "        [70.6, 70.7, 70.8],\n",
       "        [70.9, 71. , 71.1],\n",
       "        [71.2, 71.3, 71.4],\n",
       "        [71.5, 71.6, 71.7],\n",
       "        [71.8, 71.9, 72. ],\n",
       "        [72.1, 72.2, 72.3],\n",
       "        [72.4, 72.5, 72.6],\n",
       "        [72.7, 72.8, 72.9],\n",
       "        [73. , 73.1, 73.2],\n",
       "        [73.3, 73.4, 73.5],\n",
       "        [73.6, 73.7, 73.8],\n",
       "        [73.9, 74. , 74.1],\n",
       "        [74.2, 74.3, 74.4],\n",
       "        [74.5, 74.6, 74.7],\n",
       "        [74.8, 74.9, 75. ],\n",
       "        [75.1, 75.2, 75.3],\n",
       "        [75.4, 75.5, 75.6],\n",
       "        [75.7, 75.8, 75.9],\n",
       "        [76. , 76.1, 76.2],\n",
       "        [76.3, 76.4, 76.5],\n",
       "        [76.6, 76.7, 76.8],\n",
       "        [76.9, 77. , 77.1],\n",
       "        [77.2, 77.3, 77.4],\n",
       "        [77.5, 77.6, 77.7],\n",
       "        [77.8, 77.9, 78. ],\n",
       "        [78.1, 78.2, 78.3],\n",
       "        [78.4, 78.5, 78.6],\n",
       "        [78.7, 78.8, 78.9],\n",
       "        [79. , 79.1, 79.2],\n",
       "        [79.3, 79.4, 79.5],\n",
       "        [79.6, 79.7, 79.8],\n",
       "        [79.9, 80. , 80.1],\n",
       "        [80.2, 80.3, 80.4],\n",
       "        [80.5, 80.6, 80.7],\n",
       "        [80.8, 80.9, 81. ],\n",
       "        [81.1, 81.2, 81.3],\n",
       "        [81.4, 81.5, 81.6],\n",
       "        [81.7, 81.8, 81.9],\n",
       "        [82. , 82.1, 82.2],\n",
       "        [82.3, 82.4, 82.5],\n",
       "        [82.6, 82.7, 82.8],\n",
       "        [82.9, 83. , 83.1],\n",
       "        [83.2, 83.3, 83.4],\n",
       "        [83.5, 83.6, 83.7],\n",
       "        [83.8, 83.9, 84. ],\n",
       "        [84.1, 84.2, 84.3],\n",
       "        [84.4, 84.5, 84.6],\n",
       "        [84.7, 84.8, 84.9],\n",
       "        [85. , 85.1, 85.2],\n",
       "        [85.3, 85.4, 85.5],\n",
       "        [85.6, 85.7, 85.8],\n",
       "        [85.9, 86. , 86.1],\n",
       "        [86.2, 86.3, 86.4],\n",
       "        [86.5, 86.6, 86.7],\n",
       "        [86.8, 86.9, 87. ],\n",
       "        [87.1, 87.2, 87.3],\n",
       "        [87.4, 87.5, 87.6],\n",
       "        [87.7, 87.8, 87.9],\n",
       "        [88. , 88.1, 88.2],\n",
       "        [88.3, 88.4, 88.5],\n",
       "        [88.6, 88.7, 88.8],\n",
       "        [88.9, 89. , 89.1],\n",
       "        [89.2, 89.3, 89.4],\n",
       "        [89.5, 89.6, 89.7],\n",
       "        [89.8, 89.9, 90. ],\n",
       "        [90.1, 90.2, 90.3],\n",
       "        [90.4, 90.5, 90.6],\n",
       "        [90.7, 90.8, 90.9],\n",
       "        [91. , 91.1, 91.2],\n",
       "        [91.3, 91.4, 91.5],\n",
       "        [91.6, 91.7, 91.8],\n",
       "        [91.9, 92. , 92.1],\n",
       "        [92.2, 92.3, 92.4],\n",
       "        [92.5, 92.6, 92.7],\n",
       "        [92.8, 92.9, 93. ],\n",
       "        [93.1, 93.2, 93.3],\n",
       "        [93.4, 93.5, 93.6],\n",
       "        [93.7, 93.8, 93.9],\n",
       "        [94. , 94.1, 94.2],\n",
       "        [94.3, 94.4, 94.5],\n",
       "        [94.6, 94.7, 94.8],\n",
       "        [94.9, 95. , 95.1],\n",
       "        [95.2, 95.3, 95.4],\n",
       "        [95.5, 95.6, 95.7],\n",
       "        [95.8, 95.9, 96. ],\n",
       "        [96.1, 96.2, 96.3],\n",
       "        [96.4, 96.5, 96.6],\n",
       "        [96.7, 96.8, 96.9],\n",
       "        [97. , 97.1, 97.2],\n",
       "        [97.3, 97.4, 97.5],\n",
       "        [97.6, 97.7, 97.8],\n",
       "        [97.9, 98. , 98.1],\n",
       "        [98.2, 98.3, 98.4],\n",
       "        [98.5, 98.6, 98.7],\n",
       "        [98.8, 98.9, 99. ],\n",
       "        [99.1, 99.2, 99.3],\n",
       "        [99.4, 99.5, 99.6],\n",
       "        [99.7, 99.8, 99.9]]])"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a1.reshape(3, 100, 3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n",
       "       [0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n",
       "       [0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n",
       "       [0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n",
       "       [0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n",
       "       [0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n",
       "       [0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n",
       "       [0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n",
       "       [0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n",
       "       [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], dtype=int8)"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "zero = np.zeros((10, 10), dtype='int8')\n",
    "\n",
    "zero"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[[1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]],\n",
       "\n",
       "       [[1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]],\n",
       "\n",
       "       [[1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]],\n",
       "\n",
       "       [[1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]],\n",
       "\n",
       "       [[1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]],\n",
       "\n",
       "       [[1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]],\n",
       "\n",
       "       [[1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]],\n",
       "\n",
       "       [[1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]],\n",
       "\n",
       "       [[1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]],\n",
       "\n",
       "       [[1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n",
       "        [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]]], dtype=int8)"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "one = np.ones((10, 10, 10), dtype='int8')\n",
    "\n",
    "one"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[10, 10, 10, 10, 10, 10, 10, 10, 10, 10],\n",
       "       [10, 10, 10, 10, 10, 10, 10, 10, 10, 10],\n",
       "       [10, 10, 10, 10, 10, 10, 10, 10, 10, 10],\n",
       "       [10, 10, 10, 10, 10, 10, 10, 10, 10, 10],\n",
       "       [10, 10, 10, 10, 10, 10, 10, 10, 10, 10],\n",
       "       [10, 10, 10, 10, 10, 10, 10, 10, 10, 10],\n",
       "       [10, 10, 10, 10, 10, 10, 10, 10, 10, 10],\n",
       "       [10, 10, 10, 10, 10, 10, 10, 10, 10, 10],\n",
       "       [10, 10, 10, 10, 10, 10, 10, 10, 10, 10],\n",
       "       [10, 10, 10, 10, 10, 10, 10, 10, 10, 10]])"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.full((10,10), 10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [],
   "source": [
    "p = np.full((10,10), 'P')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([['A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A'],\n",
       "       ['A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A'],\n",
       "       ['A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A'],\n",
       "       ['A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A'],\n",
       "       ['A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A'],\n",
       "       ['A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A'],\n",
       "       ['A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A'],\n",
       "       ['A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A'],\n",
       "       ['A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A'],\n",
       "       ['A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A', 'A']], dtype='<U1')"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.full_like(p, 'A')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "ename": "TypeError",
     "evalue": "can only concatenate list (not \"int\") to list",
     "output_type": "error",
     "traceback": [
      "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[1;31mTypeError\u001b[0m                                 Traceback (most recent call last)",
      "\u001b[1;32m<ipython-input-40-4569473ce45a>\u001b[0m in \u001b[0;36m<module>\u001b[1;34m\u001b[0m\n\u001b[1;32m----> 1\u001b[1;33m \u001b[1;33m[\u001b[0m\u001b[1;36m1\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;36m5\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;36m8\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;36m9\u001b[0m\u001b[1;33m]\u001b[0m \u001b[1;33m+\u001b[0m \u001b[1;36m5\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m",
      "\u001b[1;31mTypeError\u001b[0m: can only concatenate list (not \"int\") to list"
     ]
    }
   ],
   "source": [
    "[1, 5, 8, 9] + 5"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[[6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6]],\n",
       "\n",
       "       [[6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6]],\n",
       "\n",
       "       [[6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6]],\n",
       "\n",
       "       [[6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6]],\n",
       "\n",
       "       [[6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6]],\n",
       "\n",
       "       [[6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6]],\n",
       "\n",
       "       [[6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6]],\n",
       "\n",
       "       [[6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6]],\n",
       "\n",
       "       [[6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6]],\n",
       "\n",
       "       [[6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n",
       "        [6, 6, 6, 6, 6, 6, 6, 6, 6, 6]]], dtype=int8)"
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "one + 5"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [],
   "source": [
    "x = one + 5.5"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "6500.0"
      ]
     },
     "execution_count": 44,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x.sum()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [],
   "source": [
    "s = x.cumsum()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([6.50000000e+000, 4.22500000e+001, 2.74625000e+002, 1.78506250e+003,\n",
       "       1.16029062e+004, 7.54188906e+004, 4.90222789e+005, 3.18644813e+006,\n",
       "       2.07119128e+007, 1.34627433e+008, 8.75078317e+008, 5.68800906e+009,\n",
       "       3.69720589e+010, 2.40318383e+011, 1.56206949e+012, 1.01534517e+013,\n",
       "       6.59974359e+013, 4.28983333e+014, 2.78839167e+015, 1.81245458e+016,\n",
       "       1.17809548e+017, 7.65762062e+017, 4.97745340e+018, 3.23534471e+019,\n",
       "       2.10297406e+020, 1.36693314e+021, 8.88506541e+021, 5.77529252e+022,\n",
       "       3.75394014e+023, 2.44006109e+024, 1.58603971e+025, 1.03092581e+026,\n",
       "       6.70101776e+026, 4.35566155e+027, 2.83118001e+028, 1.84026700e+029,\n",
       "       1.19617355e+030, 7.77512809e+030, 5.05383326e+031, 3.28499162e+032,\n",
       "       2.13524455e+033, 1.38790896e+034, 9.02140823e+034, 5.86391535e+035,\n",
       "       3.81154498e+036, 2.47750424e+037, 1.61037775e+038, 1.04674554e+039,\n",
       "       6.80384601e+039, 4.42249990e+040, 2.87462494e+041, 1.86850621e+042,\n",
       "       1.21452904e+043, 7.89443873e+043, 5.13138518e+044, 3.33540037e+045,\n",
       "       2.16801024e+046, 1.40920665e+047, 9.15984325e+047, 5.95389811e+048,\n",
       "       3.87003377e+049, 2.51552195e+050, 1.63508927e+051, 1.06280803e+052,\n",
       "       6.90825216e+052, 4.49036391e+053, 2.91873654e+054, 1.89717875e+055,\n",
       "       1.23316619e+056, 8.01558022e+056, 5.21012714e+057, 3.38658264e+058,\n",
       "       2.20127872e+059, 1.43083117e+060, 9.30040259e+060, 6.04526168e+061,\n",
       "       3.92942009e+062, 2.55412306e+063, 1.66017999e+064, 1.07911699e+065,\n",
       "       7.01426045e+065, 4.55926929e+066, 2.96352504e+067, 1.92629128e+068,\n",
       "       1.25208933e+069, 8.13858065e+069, 5.29007742e+070, 3.43855032e+071,\n",
       "       2.23505771e+072, 1.45278751e+073, 9.44311882e+073, 6.13802724e+074,\n",
       "       3.98971770e+075, 2.59331651e+076, 1.68565573e+077, 1.09567622e+078,\n",
       "       7.12189546e+078, 4.62923205e+079, 3.00900083e+080, 1.95585054e+081,\n",
       "       1.27130285e+082, 8.26346853e+082, 5.37125455e+083, 3.49131545e+084,\n",
       "       2.26935505e+085, 1.47508078e+086, 9.58802507e+086, 6.23221629e+087,\n",
       "       4.05094059e+088, 2.63311138e+089, 1.71152240e+090, 1.11248956e+091,\n",
       "       7.23118214e+091, 4.70026839e+092, 3.05517445e+093, 1.98586339e+094,\n",
       "       1.29081121e+095, 8.39027284e+095, 5.45367735e+096, 3.54489028e+097,\n",
       "       2.30417868e+098, 1.49771614e+099, 9.73515492e+099, 6.32785070e+100,\n",
       "       4.11310295e+101, 2.67351692e+102, 1.73778600e+103, 1.12956090e+104,\n",
       "       7.34214584e+104, 4.77239480e+105, 3.10205662e+106, 2.01633680e+107,\n",
       "       1.31061892e+108, 8.51902299e+108, 5.53736494e+109, 3.59928721e+110,\n",
       "       2.33953669e+111, 1.52069885e+112, 9.88454251e+112, 6.42495263e+113,\n",
       "       4.17621921e+114, 2.71454249e+115, 1.76445262e+116, 1.14689420e+117,\n",
       "       7.45481230e+117, 4.84562800e+118, 3.14965820e+119, 2.04727783e+120,\n",
       "       1.33073059e+121, 8.64974883e+121, 5.62233674e+122, 3.65451888e+123,\n",
       "       2.37543727e+124, 1.54403423e+125, 1.00362225e+126, 6.52354461e+126,\n",
       "       4.24030399e+127, 2.75619760e+128, 1.79152844e+129, 1.16449348e+130,\n",
       "       7.56920765e+130, 4.91998497e+131, 3.19799023e+132, 2.07869365e+133,\n",
       "       1.35115087e+134, 8.78248067e+134, 5.70861244e+135, 3.71059808e+136,\n",
       "       2.41188875e+137, 1.56772769e+138, 1.01902300e+139, 6.62364949e+139,\n",
       "       4.30537217e+140, 2.79849191e+141, 1.81901974e+142, 1.18236283e+143,\n",
       "       7.68535841e+143, 4.99548297e+144, 3.24706393e+145, 2.11059155e+146,\n",
       "       1.37188451e+147, 8.91724931e+147, 5.79621205e+148, 3.76753783e+149,\n",
       "       2.44889959e+150, 1.59178474e+151, 1.03466008e+152, 6.72529051e+152,\n",
       "       4.37143883e+153, 2.84143524e+154, 1.84693291e+155, 1.20050639e+156,\n",
       "       7.80329152e+156, 5.07213949e+157, 3.29689067e+158, 2.14297893e+159,\n",
       "       1.39293631e+160, 9.05408600e+160, 5.88515590e+161, 3.82535133e+162,\n",
       "       2.48647837e+163, 1.61621094e+164, 1.05053711e+165, 6.82849122e+165,\n",
       "       4.43851929e+166, 2.88503754e+167, 1.87527440e+168, 1.21892836e+169,\n",
       "       7.92303434e+169, 5.14997232e+170, 3.34748201e+171, 2.17586331e+172,\n",
       "       1.41431115e+173, 9.19302247e+173, 5.97546460e+174, 3.88405199e+175,\n",
       "       2.52463380e+176, 1.64101197e+177, 1.06665778e+178, 6.93327556e+178,\n",
       "       4.50662911e+179, 2.92930892e+180, 1.90405080e+181, 1.23763302e+182,\n",
       "       8.04461463e+182, 5.22899951e+183, 3.39884968e+184, 2.20925229e+185,\n",
       "       1.43601399e+186, 9.33409094e+186, 6.06715911e+187, 3.94365342e+188,\n",
       "       2.56337472e+189, 1.66619357e+190, 1.08302582e+191, 7.03966784e+191,\n",
       "       4.57578409e+192, 2.97425966e+193, 1.93326878e+194, 1.25662471e+195,\n",
       "       8.16806060e+195, 5.30923939e+196, 3.45100560e+197, 2.24315364e+198,\n",
       "       1.45804987e+199, 9.47732413e+199, 6.16026069e+200, 4.00416945e+201,\n",
       "       2.60271014e+202, 1.69176159e+203, 1.09964503e+204, 7.14769272e+204,\n",
       "       4.64600027e+205, 3.01990018e+206, 1.96293511e+207, 1.27590782e+208,\n",
       "       8.29340086e+208, 5.39071056e+209, 3.50396186e+210, 2.27757521e+211,\n",
       "       1.48042389e+212, 9.62275526e+212, 6.25479092e+213, 4.06561410e+214,\n",
       "       2.64264916e+215, 1.71772196e+216, 1.11651927e+217, 7.25737527e+217,\n",
       "       4.71729392e+218, 3.06624105e+219, 1.99305668e+220, 1.29548684e+221,\n",
       "       8.42066448e+221, 5.47343191e+222, 3.55773074e+223, 2.31252498e+224,\n",
       "       1.50314124e+225, 9.77041806e+225, 6.35077174e+226, 4.12800163e+227,\n",
       "       2.68320106e+228, 1.74408069e+229, 1.13365245e+230, 7.36874091e+230,\n",
       "       4.78968159e+231, 3.11329303e+232, 2.02364047e+233, 1.31536631e+234,\n",
       "       8.54988099e+234, 5.55742265e+235, 3.61232472e+236, 2.34801107e+237,\n",
       "       1.52620719e+238, 9.92034676e+238, 6.44822539e+239, 4.19134651e+240,\n",
       "       2.72437523e+241, 1.77084390e+242, 1.15104853e+243, 7.48181547e+243,\n",
       "       4.86318006e+244, 3.16106704e+245, 2.05469357e+246, 1.33555082e+247,\n",
       "       8.68108035e+247, 5.64270223e+248, 3.66775645e+249, 2.38404169e+250,\n",
       "       1.54962710e+251, 1.00725761e+252, 6.54717450e+252, 4.25566342e+253,\n",
       "       2.76618122e+254, 1.79801780e+255, 1.16871157e+256, 7.59662519e+256,\n",
       "       4.93780637e+257, 3.20957414e+258, 2.08622319e+259, 1.35604507e+260,\n",
       "       8.81429299e+260, 5.72929044e+261, 3.72403879e+262, 2.42062521e+263,\n",
       "       1.57340639e+264, 1.02271415e+265, 6.64764199e+265, 4.32096729e+266,\n",
       "       2.80862874e+267, 1.82560868e+268, 1.18664564e+269, 7.71319668e+269,\n",
       "       5.01357784e+270, 3.25882560e+271, 2.11823664e+272, 1.37685381e+273,\n",
       "       8.94954979e+273, 5.81720736e+274, 3.78118479e+275, 2.45777011e+276,\n",
       "       1.59755057e+277, 1.03840787e+278, 6.74965117e+278, 4.38727326e+279,\n",
       "       2.85172762e+280, 1.85362295e+281, 1.20485492e+282, 7.83155697e+282,\n",
       "       5.09051203e+283, 3.30883282e+284, 2.15074133e+285, 1.39798187e+286,\n",
       "       9.08688214e+286, 5.90647339e+287, 3.83920770e+288, 2.49548501e+289,\n",
       "       1.62206525e+290, 1.05434242e+291, 6.85322570e+291, 4.45459670e+292,\n",
       "       2.89548786e+293, 1.88206711e+294, 1.22334362e+295, 7.95173353e+295,\n",
       "       5.16862679e+296, 3.35960742e+297, 2.18374482e+298, 1.41943413e+299,\n",
       "       9.22632187e+299, 5.99710921e+300, 3.89812099e+301, 2.53377864e+302,\n",
       "       1.64695612e+303, 1.07052148e+304, 6.95838960e+304, 4.52295324e+305,\n",
       "       2.93991960e+306, 1.91094774e+307, 1.24211603e+308,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf,\n",
       "                   inf,             inf,             inf,             inf])"
      ]
     },
     "execution_count": 47,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x.cumprod()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "6500.0"
      ]
     },
     "execution_count": 49,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "s.max()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "6.5"
      ]
     },
     "execution_count": 50,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "s.min()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0"
      ]
     },
     "execution_count": 51,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "s.argmin()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "999"
      ]
     },
     "execution_count": 52,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "s.argmax()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3253.25"
      ]
     },
     "execution_count": 53,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "s.mean()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
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       "         58.5,   65. ,   71.5,   78. ,   84.5,   91. ,   97.5,  104. ,\n",
       "        110.5,  117. ,  123.5,  130. ,  136.5,  143. ,  149.5,  156. ,\n",
       "        162.5,  169. ,  175.5,  182. ,  188.5,  195. ,  201.5,  208. ,\n",
       "        214.5,  221. ,  227.5,  234. ,  240.5,  247. ,  253.5,  260. ,\n",
       "        266.5,  273. ,  279.5,  286. ,  292.5,  299. ,  305.5,  312. ,\n",
       "        318.5,  325. ,  331.5,  338. ,  344.5,  351. ,  357.5,  364. ,\n",
       "        370.5,  377. ,  383.5,  390. ,  396.5,  403. ,  409.5,  416. ,\n",
       "        422.5,  429. ,  435.5,  442. ,  448.5,  455. ,  461.5,  468. ,\n",
       "        474.5,  481. ,  487.5,  494. ,  500.5,  507. ,  513.5,  520. ,\n",
       "        526.5,  533. ,  539.5,  546. ,  552.5,  559. ,  565.5,  572. ,\n",
       "        578.5,  585. ,  591.5,  598. ,  604.5,  611. ,  617.5,  624. ,\n",
       "        630.5,  637. ,  643.5,  650. ,  656.5,  663. ,  669.5,  676. ,\n",
       "        682.5,  689. ,  695.5,  702. ,  708.5,  715. ,  721.5,  728. ,\n",
       "        734.5,  741. ,  747.5,  754. ,  760.5,  767. ,  773.5,  780. ,\n",
       "        786.5,  793. ,  799.5,  806. ,  812.5,  819. ,  825.5,  832. ,\n",
       "        838.5,  845. ,  851.5,  858. ,  864.5,  871. ,  877.5,  884. ,\n",
       "        890.5,  897. ,  903.5,  910. ,  916.5,  923. ,  929.5,  936. ,\n",
       "        942.5,  949. ,  955.5,  962. ,  968.5,  975. ,  981.5,  988. ,\n",
       "        994.5, 1001. , 1007.5, 1014. , 1020.5, 1027. , 1033.5, 1040. ,\n",
       "       1046.5, 1053. , 1059.5, 1066. , 1072.5, 1079. , 1085.5, 1092. ,\n",
       "       1098.5, 1105. , 1111.5, 1118. , 1124.5, 1131. , 1137.5, 1144. ,\n",
       "       1150.5, 1157. , 1163.5, 1170. , 1176.5, 1183. , 1189.5, 1196. ,\n",
       "       1202.5, 1209. , 1215.5, 1222. , 1228.5, 1235. , 1241.5, 1248. ,\n",
       "       1254.5, 1261. , 1267.5, 1274. , 1280.5, 1287. , 1293.5, 1300. ,\n",
       "       1306.5, 1313. , 1319.5, 1326. , 1332.5, 1339. , 1345.5, 1352. ,\n",
       "       1358.5, 1365. , 1371.5, 1378. , 1384.5, 1391. , 1397.5, 1404. ,\n",
       "       1410.5, 1417. , 1423.5, 1430. , 1436.5, 1443. , 1449.5, 1456. ,\n",
       "       1462.5, 1469. , 1475.5, 1482. , 1488.5, 1495. , 1501.5, 1508. ,\n",
       "       1514.5, 1521. , 1527.5, 1534. , 1540.5, 1547. , 1553.5, 1560. ,\n",
       "       1566.5, 1573. , 1579.5, 1586. , 1592.5, 1599. , 1605.5, 1612. ,\n",
       "       1618.5, 1625. , 1631.5, 1638. , 1644.5, 1651. , 1657.5, 1664. ,\n",
       "       1670.5, 1677. , 1683.5, 1690. , 1696.5, 1703. , 1709.5, 1716. ,\n",
       "       1722.5, 1729. , 1735.5, 1742. , 1748.5, 1755. , 1761.5, 1768. ,\n",
       "       1774.5, 1781. , 1787.5, 1794. , 1800.5, 1807. , 1813.5, 1820. ,\n",
       "       1826.5, 1833. , 1839.5, 1846. , 1852.5, 1859. , 1865.5, 1872. ,\n",
       "       1878.5, 1885. , 1891.5, 1898. , 1904.5, 1911. , 1917.5, 1924. ,\n",
       "       1930.5, 1937. , 1943.5, 1950. , 1956.5, 1963. , 1969.5, 1976. ,\n",
       "       1982.5, 1989. , 1995.5, 2002. , 2008.5, 2015. , 2021.5, 2028. ,\n",
       "       2034.5, 2041. , 2047.5, 2054. , 2060.5, 2067. , 2073.5, 2080. ,\n",
       "       2086.5, 2093. , 2099.5, 2106. , 2112.5, 2119. , 2125.5, 2132. ,\n",
       "       2138.5, 2145. , 2151.5, 2158. , 2164.5, 2171. , 2177.5, 2184. ,\n",
       "       2190.5, 2197. , 2203.5, 2210. , 2216.5, 2223. , 2229.5, 2236. ,\n",
       "       2242.5, 2249. , 2255.5, 2262. , 2268.5, 2275. , 2281.5, 2288. ,\n",
       "       2294.5, 2301. , 2307.5, 2314. , 2320.5, 2327. , 2333.5, 2340. ,\n",
       "       2346.5, 2353. , 2359.5, 2366. , 2372.5, 2379. , 2385.5, 2392. ,\n",
       "       2398.5, 2405. , 2411.5, 2418. , 2424.5, 2431. , 2437.5, 2444. ,\n",
       "       2450.5, 2457. , 2463.5, 2470. , 2476.5, 2483. , 2489.5, 2496. ,\n",
       "       2502.5, 2509. , 2515.5, 2522. , 2528.5, 2535. , 2541.5, 2548. ,\n",
       "       2554.5, 2561. , 2567.5, 2574. , 2580.5, 2587. , 2593.5, 2600. ,\n",
       "       2606.5, 2613. , 2619.5, 2626. , 2632.5, 2639. , 2645.5, 2652. ,\n",
       "       2658.5, 2665. , 2671.5, 2678. , 2684.5, 2691. , 2697.5, 2704. ,\n",
       "       2710.5, 2717. , 2723.5, 2730. , 2736.5, 2743. , 2749.5, 2756. ,\n",
       "       2762.5, 2769. , 2775.5, 2782. , 2788.5, 2795. , 2801.5, 2808. ,\n",
       "       2814.5, 2821. , 2827.5, 2834. , 2840.5, 2847. , 2853.5, 2860. ,\n",
       "       2866.5, 2873. , 2879.5, 2886. , 2892.5, 2899. , 2905.5, 2912. ,\n",
       "       2918.5, 2925. , 2931.5, 2938. , 2944.5, 2951. , 2957.5, 2964. ,\n",
       "       2970.5, 2977. , 2983.5, 2990. , 2996.5, 3003. , 3009.5, 3016. ,\n",
       "       3022.5, 3029. , 3035.5, 3042. , 3048.5, 3055. , 3061.5, 3068. ,\n",
       "       3074.5, 3081. , 3087.5, 3094. , 3100.5, 3107. , 3113.5, 3120. ,\n",
       "       3126.5, 3133. , 3139.5, 3146. , 3152.5, 3159. , 3165.5, 3172. ,\n",
       "       3178.5, 3185. , 3191.5, 3198. , 3204.5, 3211. , 3217.5, 3224. ,\n",
       "       3230.5, 3237. , 3243.5, 3250. , 3256.5, 3263. , 3269.5, 3276. ,\n",
       "       3282.5, 3289. , 3295.5, 3302. , 3308.5, 3315. , 3321.5, 3328. ,\n",
       "       3334.5, 3341. , 3347.5, 3354. , 3360.5, 3367. , 3373.5, 3380. ,\n",
       "       3386.5, 3393. , 3399.5, 3406. , 3412.5, 3419. , 3425.5, 3432. ,\n",
       "       3438.5, 3445. , 3451.5, 3458. , 3464.5, 3471. , 3477.5, 3484. ,\n",
       "       3490.5, 3497. , 3503.5, 3510. , 3516.5, 3523. , 3529.5, 3536. ,\n",
       "       3542.5, 3549. , 3555.5, 3562. , 3568.5, 3575. , 3581.5, 3588. ,\n",
       "       3594.5, 3601. , 3607.5, 3614. , 3620.5, 3627. , 3633.5, 3640. ,\n",
       "       3646.5, 3653. , 3659.5, 3666. , 3672.5, 3679. , 3685.5, 3692. ,\n",
       "       3698.5, 3705. , 3711.5, 3718. , 3724.5, 3731. , 3737.5, 3744. ,\n",
       "       3750.5, 3757. , 3763.5, 3770. , 3776.5, 3783. , 3789.5, 3796. ,\n",
       "       3802.5, 3809. , 3815.5, 3822. , 3828.5, 3835. , 3841.5, 3848. ,\n",
       "       3854.5, 3861. , 3867.5, 3874. , 3880.5, 3887. , 3893.5, 3900. ,\n",
       "       3906.5, 3913. , 3919.5, 3926. , 3932.5, 3939. , 3945.5, 3952. ,\n",
       "       3958.5, 3965. , 3971.5, 3978. , 3984.5, 3991. , 3997.5, 4004. ,\n",
       "       4010.5, 4017. , 4023.5, 4030. , 4036.5, 4043. , 4049.5, 4056. ,\n",
       "       4062.5, 4069. , 4075.5, 4082. , 4088.5, 4095. , 4101.5, 4108. ,\n",
       "       4114.5, 4121. , 4127.5, 4134. , 4140.5, 4147. , 4153.5, 4160. ,\n",
       "       4166.5, 4173. , 4179.5, 4186. , 4192.5, 4199. , 4205.5, 4212. ,\n",
       "       4218.5, 4225. , 4231.5, 4238. , 4244.5, 4251. , 4257.5, 4264. ,\n",
       "       4270.5, 4277. , 4283.5, 4290. , 4296.5, 4303. , 4309.5, 4316. ,\n",
       "       4322.5, 4329. , 4335.5, 4342. , 4348.5, 4355. , 4361.5, 4368. ,\n",
       "       4374.5, 4381. , 4387.5, 4394. , 4400.5, 4407. , 4413.5, 4420. ,\n",
       "       4426.5, 4433. , 4439.5, 4446. , 4452.5, 4459. , 4465.5, 4472. ,\n",
       "       4478.5, 4485. , 4491.5, 4498. , 4504.5, 4511. , 4517.5, 4524. ,\n",
       "       4530.5, 4537. , 4543.5, 4550. , 4556.5, 4563. , 4569.5, 4576. ,\n",
       "       4582.5, 4589. , 4595.5, 4602. , 4608.5, 4615. , 4621.5, 4628. ,\n",
       "       4634.5, 4641. , 4647.5, 4654. , 4660.5, 4667. , 4673.5, 4680. ,\n",
       "       4686.5, 4693. , 4699.5, 4706. , 4712.5, 4719. , 4725.5, 4732. ,\n",
       "       4738.5, 4745. , 4751.5, 4758. , 4764.5, 4771. , 4777.5, 4784. ,\n",
       "       4790.5, 4797. , 4803.5, 4810. , 4816.5, 4823. , 4829.5, 4836. ,\n",
       "       4842.5, 4849. , 4855.5, 4862. , 4868.5, 4875. , 4881.5, 4888. ,\n",
       "       4894.5, 4901. , 4907.5, 4914. , 4920.5, 4927. , 4933.5, 4940. ,\n",
       "       4946.5, 4953. , 4959.5, 4966. , 4972.5, 4979. , 4985.5, 4992. ,\n",
       "       4998.5, 5005. , 5011.5, 5018. , 5024.5, 5031. , 5037.5, 5044. ,\n",
       "       5050.5, 5057. , 5063.5, 5070. , 5076.5, 5083. , 5089.5, 5096. ,\n",
       "       5102.5, 5109. , 5115.5, 5122. , 5128.5, 5135. , 5141.5, 5148. ,\n",
       "       5154.5, 5161. , 5167.5, 5174. , 5180.5, 5187. , 5193.5, 5200. ,\n",
       "       5206.5, 5213. , 5219.5, 5226. , 5232.5, 5239. , 5245.5, 5252. ,\n",
       "       5258.5, 5265. , 5271.5, 5278. , 5284.5, 5291. , 5297.5, 5304. ,\n",
       "       5310.5, 5317. , 5323.5, 5330. , 5336.5, 5343. , 5349.5, 5356. ,\n",
       "       5362.5, 5369. , 5375.5, 5382. , 5388.5, 5395. , 5401.5, 5408. ,\n",
       "       5414.5, 5421. , 5427.5, 5434. , 5440.5, 5447. , 5453.5, 5460. ,\n",
       "       5466.5, 5473. , 5479.5, 5486. , 5492.5, 5499. , 5505.5, 5512. ,\n",
       "       5518.5, 5525. , 5531.5, 5538. , 5544.5, 5551. , 5557.5, 5564. ,\n",
       "       5570.5, 5577. , 5583.5, 5590. , 5596.5, 5603. , 5609.5, 5616. ,\n",
       "       5622.5, 5629. , 5635.5, 5642. , 5648.5, 5655. , 5661.5, 5668. ,\n",
       "       5674.5, 5681. , 5687.5, 5694. , 5700.5, 5707. , 5713.5, 5720. ,\n",
       "       5726.5, 5733. , 5739.5, 5746. , 5752.5, 5759. , 5765.5, 5772. ,\n",
       "       5778.5, 5785. , 5791.5, 5798. , 5804.5, 5811. , 5817.5, 5824. ,\n",
       "       5830.5, 5837. , 5843.5, 5850. , 5856.5, 5863. , 5869.5, 5876. ,\n",
       "       5882.5, 5889. , 5895.5, 5902. , 5908.5, 5915. , 5921.5, 5928. ,\n",
       "       5934.5, 5941. , 5947.5, 5954. , 5960.5, 5967. , 5973.5, 5980. ,\n",
       "       5986.5, 5993. , 5999.5, 6006. , 6012.5, 6019. , 6025.5, 6032. ,\n",
       "       6038.5, 6045. , 6051.5, 6058. , 6064.5, 6071. , 6077.5, 6084. ,\n",
       "       6090.5, 6097. , 6103.5, 6110. , 6116.5, 6123. , 6129.5, 6136. ,\n",
       "       6142.5, 6149. , 6155.5, 6162. , 6168.5, 6175. , 6181.5, 6188. ,\n",
       "       6194.5, 6201. , 6207.5, 6214. , 6220.5, 6227. , 6233.5, 6240. ,\n",
       "       6246.5, 6253. , 6259.5, 6266. , 6272.5, 6279. , 6285.5, 6292. ,\n",
       "       6298.5, 6305. , 6311.5, 6318. , 6324.5, 6331. , 6337.5, 6344. ,\n",
       "       6350.5, 6357. , 6363.5, 6370. , 6376.5, 6383. , 6389.5, 6396. ,\n",
       "       6402.5, 6409. , 6415.5, 6422. , 6428.5, 6435. , 6441.5, 6448. ,\n",
       "       6454.5, 6461. , 6467.5, 6474. , 6480.5, 6487. , 6493.5, 6500. ])"
      ]
     },
     "execution_count": 54,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "s"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "dtype('float64')"
      ]
     },
     "execution_count": 55,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "s.dtype"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
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       "         78,   84,   91,   97,  104,  110,  117,  123,  130,  136,  143,\n",
       "        149,  156,  162,  169,  175,  182,  188,  195,  201,  208,  214,\n",
       "        221,  227,  234,  240,  247,  253,  260,  266,  273,  279,  286,\n",
       "        292,  299,  305,  312,  318,  325,  331,  338,  344,  351,  357,\n",
       "        364,  370,  377,  383,  390,  396,  403,  409,  416,  422,  429,\n",
       "        435,  442,  448,  455,  461,  468,  474,  481,  487,  494,  500,\n",
       "        507,  513,  520,  526,  533,  539,  546,  552,  559,  565,  572,\n",
       "        578,  585,  591,  598,  604,  611,  617,  624,  630,  637,  643,\n",
       "        650,  656,  663,  669,  676,  682,  689,  695,  702,  708,  715,\n",
       "        721,  728,  734,  741,  747,  754,  760,  767,  773,  780,  786,\n",
       "        793,  799,  806,  812,  819,  825,  832,  838,  845,  851,  858,\n",
       "        864,  871,  877,  884,  890,  897,  903,  910,  916,  923,  929,\n",
       "        936,  942,  949,  955,  962,  968,  975,  981,  988,  994, 1001,\n",
       "       1007, 1014, 1020, 1027, 1033, 1040, 1046, 1053, 1059, 1066, 1072,\n",
       "       1079, 1085, 1092, 1098, 1105, 1111, 1118, 1124, 1131, 1137, 1144,\n",
       "       1150, 1157, 1163, 1170, 1176, 1183, 1189, 1196, 1202, 1209, 1215,\n",
       "       1222, 1228, 1235, 1241, 1248, 1254, 1261, 1267, 1274, 1280, 1287,\n",
       "       1293, 1300, 1306, 1313, 1319, 1326, 1332, 1339, 1345, 1352, 1358,\n",
       "       1365, 1371, 1378, 1384, 1391, 1397, 1404, 1410, 1417, 1423, 1430,\n",
       "       1436, 1443, 1449, 1456, 1462, 1469, 1475, 1482, 1488, 1495, 1501,\n",
       "       1508, 1514, 1521, 1527, 1534, 1540, 1547, 1553, 1560, 1566, 1573,\n",
       "       1579, 1586, 1592, 1599, 1605, 1612, 1618, 1625, 1631, 1638, 1644,\n",
       "       1651, 1657, 1664, 1670, 1677, 1683, 1690, 1696, 1703, 1709, 1716,\n",
       "       1722, 1729, 1735, 1742, 1748, 1755, 1761, 1768, 1774, 1781, 1787,\n",
       "       1794, 1800, 1807, 1813, 1820, 1826, 1833, 1839, 1846, 1852, 1859,\n",
       "       1865, 1872, 1878, 1885, 1891, 1898, 1904, 1911, 1917, 1924, 1930,\n",
       "       1937, 1943, 1950, 1956, 1963, 1969, 1976, 1982, 1989, 1995, 2002,\n",
       "       2008, 2015, 2021, 2028, 2034, 2041, 2047, 2054, 2060, 2067, 2073,\n",
       "       2080, 2086, 2093, 2099, 2106, 2112, 2119, 2125, 2132, 2138, 2145,\n",
       "       2151, 2158, 2164, 2171, 2177, 2184, 2190, 2197, 2203, 2210, 2216,\n",
       "       2223, 2229, 2236, 2242, 2249, 2255, 2262, 2268, 2275, 2281, 2288,\n",
       "       2294, 2301, 2307, 2314, 2320, 2327, 2333, 2340, 2346, 2353, 2359,\n",
       "       2366, 2372, 2379, 2385, 2392, 2398, 2405, 2411, 2418, 2424, 2431,\n",
       "       2437, 2444, 2450, 2457, 2463, 2470, 2476, 2483, 2489, 2496, 2502,\n",
       "       2509, 2515, 2522, 2528, 2535, 2541, 2548, 2554, 2561, 2567, 2574,\n",
       "       2580, 2587, 2593, 2600, 2606, 2613, 2619, 2626, 2632, 2639, 2645,\n",
       "       2652, 2658, 2665, 2671, 2678, 2684, 2691, 2697, 2704, 2710, 2717,\n",
       "       2723, 2730, 2736, 2743, 2749, 2756, 2762, 2769, 2775, 2782, 2788,\n",
       "       2795, 2801, 2808, 2814, 2821, 2827, 2834, 2840, 2847, 2853, 2860,\n",
       "       2866, 2873, 2879, 2886, 2892, 2899, 2905, 2912, 2918, 2925, 2931,\n",
       "       2938, 2944, 2951, 2957, 2964, 2970, 2977, 2983, 2990, 2996, 3003,\n",
       "       3009, 3016, 3022, 3029, 3035, 3042, 3048, 3055, 3061, 3068, 3074,\n",
       "       3081, 3087, 3094, 3100, 3107, 3113, 3120, 3126, 3133, 3139, 3146,\n",
       "       3152, 3159, 3165, 3172, 3178, 3185, 3191, 3198, 3204, 3211, 3217,\n",
       "       3224, 3230, 3237, 3243, 3250, 3256, 3263, 3269, 3276, 3282, 3289,\n",
       "       3295, 3302, 3308, 3315, 3321, 3328, 3334, 3341, 3347, 3354, 3360,\n",
       "       3367, 3373, 3380, 3386, 3393, 3399, 3406, 3412, 3419, 3425, 3432,\n",
       "       3438, 3445, 3451, 3458, 3464, 3471, 3477, 3484, 3490, 3497, 3503,\n",
       "       3510, 3516, 3523, 3529, 3536, 3542, 3549, 3555, 3562, 3568, 3575,\n",
       "       3581, 3588, 3594, 3601, 3607, 3614, 3620, 3627, 3633, 3640, 3646,\n",
       "       3653, 3659, 3666, 3672, 3679, 3685, 3692, 3698, 3705, 3711, 3718,\n",
       "       3724, 3731, 3737, 3744, 3750, 3757, 3763, 3770, 3776, 3783, 3789,\n",
       "       3796, 3802, 3809, 3815, 3822, 3828, 3835, 3841, 3848, 3854, 3861,\n",
       "       3867, 3874, 3880, 3887, 3893, 3900, 3906, 3913, 3919, 3926, 3932,\n",
       "       3939, 3945, 3952, 3958, 3965, 3971, 3978, 3984, 3991, 3997, 4004,\n",
       "       4010, 4017, 4023, 4030, 4036, 4043, 4049, 4056, 4062, 4069, 4075,\n",
       "       4082, 4088, 4095, 4101, 4108, 4114, 4121, 4127, 4134, 4140, 4147,\n",
       "       4153, 4160, 4166, 4173, 4179, 4186, 4192, 4199, 4205, 4212, 4218,\n",
       "       4225, 4231, 4238, 4244, 4251, 4257, 4264, 4270, 4277, 4283, 4290,\n",
       "       4296, 4303, 4309, 4316, 4322, 4329, 4335, 4342, 4348, 4355, 4361,\n",
       "       4368, 4374, 4381, 4387, 4394, 4400, 4407, 4413, 4420, 4426, 4433,\n",
       "       4439, 4446, 4452, 4459, 4465, 4472, 4478, 4485, 4491, 4498, 4504,\n",
       "       4511, 4517, 4524, 4530, 4537, 4543, 4550, 4556, 4563, 4569, 4576,\n",
       "       4582, 4589, 4595, 4602, 4608, 4615, 4621, 4628, 4634, 4641, 4647,\n",
       "       4654, 4660, 4667, 4673, 4680, 4686, 4693, 4699, 4706, 4712, 4719,\n",
       "       4725, 4732, 4738, 4745, 4751, 4758, 4764, 4771, 4777, 4784, 4790,\n",
       "       4797, 4803, 4810, 4816, 4823, 4829, 4836, 4842, 4849, 4855, 4862,\n",
       "       4868, 4875, 4881, 4888, 4894, 4901, 4907, 4914, 4920, 4927, 4933,\n",
       "       4940, 4946, 4953, 4959, 4966, 4972, 4979, 4985, 4992, 4998, 5005,\n",
       "       5011, 5018, 5024, 5031, 5037, 5044, 5050, 5057, 5063, 5070, 5076,\n",
       "       5083, 5089, 5096, 5102, 5109, 5115, 5122, 5128, 5135, 5141, 5148,\n",
       "       5154, 5161, 5167, 5174, 5180, 5187, 5193, 5200, 5206, 5213, 5219,\n",
       "       5226, 5232, 5239, 5245, 5252, 5258, 5265, 5271, 5278, 5284, 5291,\n",
       "       5297, 5304, 5310, 5317, 5323, 5330, 5336, 5343, 5349, 5356, 5362,\n",
       "       5369, 5375, 5382, 5388, 5395, 5401, 5408, 5414, 5421, 5427, 5434,\n",
       "       5440, 5447, 5453, 5460, 5466, 5473, 5479, 5486, 5492, 5499, 5505,\n",
       "       5512, 5518, 5525, 5531, 5538, 5544, 5551, 5557, 5564, 5570, 5577,\n",
       "       5583, 5590, 5596, 5603, 5609, 5616, 5622, 5629, 5635, 5642, 5648,\n",
       "       5655, 5661, 5668, 5674, 5681, 5687, 5694, 5700, 5707, 5713, 5720,\n",
       "       5726, 5733, 5739, 5746, 5752, 5759, 5765, 5772, 5778, 5785, 5791,\n",
       "       5798, 5804, 5811, 5817, 5824, 5830, 5837, 5843, 5850, 5856, 5863,\n",
       "       5869, 5876, 5882, 5889, 5895, 5902, 5908, 5915, 5921, 5928, 5934,\n",
       "       5941, 5947, 5954, 5960, 5967, 5973, 5980, 5986, 5993, 5999, 6006,\n",
       "       6012, 6019, 6025, 6032, 6038, 6045, 6051, 6058, 6064, 6071, 6077,\n",
       "       6084, 6090, 6097, 6103, 6110, 6116, 6123, 6129, 6136, 6142, 6149,\n",
       "       6155, 6162, 6168, 6175, 6181, 6188, 6194, 6201, 6207, 6214, 6220,\n",
       "       6227, 6233, 6240, 6246, 6253, 6259, 6266, 6272, 6279, 6285, 6292,\n",
       "       6298, 6305, 6311, 6318, 6324, 6331, 6337, 6344, 6350, 6357, 6363,\n",
       "       6370, 6376, 6383, 6389, 6396, 6402, 6409, 6415, 6422, 6428, 6435,\n",
       "       6441, 6448, 6454, 6461, 6467, 6474, 6480, 6487, 6493, 6500])"
      ]
     },
     "execution_count": 56,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "s.astype(int)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(620, 162)"
      ]
     },
     "execution_count": 58,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(dir(np)), len(dir(arr))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.79849964, 0.8788829 , 0.03635635, 0.60797299, 0.97730674,\n",
       "       0.00715342, 0.47726547, 0.46955013, 0.02401103, 0.87227896,\n",
       "       0.9286049 , 0.02657484, 0.43874178, 0.44399306, 0.76267586,\n",
       "       0.96373575, 0.35789011, 0.57371567, 0.84231408, 0.05044925,\n",
       "       0.21663274, 0.51985749, 0.46819652, 0.50097777, 0.66659776,\n",
       "       0.44412162, 0.58276018, 0.76603464, 0.4561569 , 0.29728984,\n",
       "       0.16488672, 0.5843838 , 0.46589783, 0.15788746, 0.22385659,\n",
       "       0.64501984, 0.95434144, 0.90569448, 0.34937791, 0.41524648,\n",
       "       0.15820922, 0.94487933, 0.20153189, 0.32161214, 0.32201024,\n",
       "       0.43621752, 0.99309074, 0.58531417, 0.99543531, 0.81469691])"
      ]
     },
     "execution_count": 59,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.random.rand(50)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 22.31333364,  -6.84066915, -17.02980766,   3.40049574,\n",
       "         6.20942941,  19.95765077,  10.82772845,   6.66591538,\n",
       "         5.67880537,  10.1886478 ,   4.39221516,  18.55089878,\n",
       "        13.50648949,  25.72852627,   5.04001489,   7.77964113,\n",
       "         8.83498881,  17.69716967,  17.12178447,  -6.30229977,\n",
       "         8.29084503,  23.40405001,  -4.3141646 ,   0.50016934,\n",
       "         6.19993008, -10.10778068,   4.74935233,  -0.38014234,\n",
       "        -9.67725344,   7.9987713 ,   7.55971994, -12.41822649,\n",
       "        13.28074932, -19.18402089, -12.32111761,   2.54317514,\n",
       "       -10.69565543,  -6.05013093,   9.104733  ,  -3.0286153 ,\n",
       "         0.07733036,   7.03544829,  21.21806509,  10.04827852,\n",
       "        -8.27341052,  -3.99076335,   1.06062708,  24.71826363,\n",
       "         0.39629069,  -1.92069955])"
      ]
     },
     "execution_count": 63,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "nor = np.random.normal(loc=5, scale=10, size = 50)\n",
    "\n",
    "nor"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "4.390895533598956"
      ]
     },
     "execution_count": 64,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "nor.mean()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "10.999207928437755"
      ]
     },
     "execution_count": 66,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "nor.std()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {},
   "outputs": [],
   "source": [
    "marks = np.random.randint(30, 100, 100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ True,  True,  True, False,  True, False,  True,  True, False,\n",
       "        True,  True,  True,  True,  True,  True,  True,  True,  True,\n",
       "        True,  True,  True,  True,  True,  True,  True, False,  True,\n",
       "       False,  True,  True,  True,  True,  True,  True,  True, False,\n",
       "        True,  True,  True,  True,  True,  True,  True,  True,  True,\n",
       "        True,  True,  True,  True,  True,  True,  True,  True, False,\n",
       "        True,  True,  True,  True,  True,  True,  True,  True, False,\n",
       "        True,  True,  True,  True,  True, False,  True, False,  True,\n",
       "        True,  True,  True,  True,  True,  True, False,  True,  True,\n",
       "        True,  True,  True,  True,  True,  True,  True,  True,  True,\n",
       "        True, False,  True, False,  True,  True,  True,  True,  True,\n",
       "       False])"
      ]
     },
     "execution_count": 74,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "marks > 40"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "86"
      ]
     },
     "execution_count": 76,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "marks[marks > 40].size"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([78, 74, 80, 50, 98, 54, 42, 64, 68, 86, 94, 70, 60, 68, 62, 94, 90,\n",
       "       72, 78, 74, 42, 76, 42, 80, 64, 86, 90, 78, 72, 54, 44, 62, 52, 52,\n",
       "       62, 94, 96, 74, 98, 86, 72, 64, 66, 64, 98, 98, 68, 54])"
      ]
     },
     "execution_count": 78,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "marks[(marks > 40) & (marks % 2 == 0)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "409.9675"
      ]
     },
     "execution_count": 79,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.var(marks)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## CSE\n",
    "\n",
    "12, 19, 23, 4, 41, 39, 7, 15, 24, 68, 65, 69, 66, 46, 27, 29, 58, 25, 43, 31, 51, L61, 40\n",
    "\n",
    "## ECE\n",
    "\n",
    "61, 47, 58, 65, 5, 8, 42, 31, 45, "
   ]
  }
 ],
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