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authorkinitrupti2015-10-15 17:40:30 +0530
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-{
- "metadata": {
- "name": "ch4"
- },
- "nbformat": 3,
- "nbformat_minor": 0,
- "worksheets": [
- {
- "cells": [
- {
- "cell_type": "heading",
- "level": 1,
- "metadata": {},
- "source": [
- "Chapter 4: Iteration"
- ]
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 4.1, page no. 60"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "i=1\n",
- "print \"Enter a positive integer: \"\n",
- "n = int(raw_input())\n",
- "s=0\n",
- "while (i <= n):\n",
- " s += i\n",
- " i += 1\n",
- "print \"The sum of the first %d integers is %d\" %(i,s)"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Enter a positive integer: \n"
- ]
- },
- {
- "name": "stdout",
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "5\n"
- ]
- },
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "The sum of the first 6 integers is 15\n"
- ]
- }
- ],
- "prompt_number": 1
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 4.2, page no. 61"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "print \"Enter a positive integer: \"\n",
- "bound = int(raw_input())\n",
- "s=0.0\n",
- "i=0\n",
- "while (s < bound):\n",
- " i += 1\n",
- " s += 1.0/i\n",
- "\n",
- "print \"The sum of the first %d reciprocals is %f\" %(i,s)"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Enter a positive integer: \n"
- ]
- },
- {
- "name": "stdout",
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "5\n"
- ]
- },
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "The sum of the first 83 reciprocals is 5.002068\n"
- ]
- }
- ],
- "prompt_number": 2
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 4.3, page no. 61"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "import math\n",
- "print \"Enter a positive number: \"\n",
- "x = float(raw_input())\n",
- "while (x > 0):\n",
- " print \"sqrt(%d) = %f \"%(x,math.sqrt(x))\n",
- " print \"Enter another positive number (or 0 to quit): \"\n",
- " x = float(raw_input())\n"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Enter a positive number: \n"
- ]
- },
- {
- "name": "stdout",
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "5\n"
- ]
- },
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "sqrt(5) = 2.236068 \n",
- "Enter another positive number (or 0 to quit): \n"
- ]
- },
- {
- "name": "stdout",
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "3\n"
- ]
- },
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "sqrt(3) = 1.732051 \n",
- "Enter another positive number (or 0 to quit): \n"
- ]
- },
- {
- "name": "stdout",
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "0\n"
- ]
- }
- ],
- "prompt_number": 3
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 4.4, page no. 62"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "i=1\n",
- "print \"Enter a positive integer: \";\n",
- "n = int(raw_input())\n",
- "s=0\n",
- "while(True):\n",
- " if (i > n):\n",
- " break # terminates the loop immediately\n",
- " s += i\n",
- " i += 1\n",
- "print \"The sum of the first %d integers is %d\" %(n,s)"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Enter a positive integer: \n"
- ]
- },
- {
- "name": "stdout",
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "5\n"
- ]
- },
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "The sum of the first 5 integers is 15\n"
- ]
- }
- ],
- "prompt_number": 5
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 4.5, page no. 62\n"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "print \"Enter a positive integer: \"\n",
- "bound = int(raw_input())\n",
- "print \"Fibonacci numbers < %d:\\n0, 1\" % bound ,\n",
- "f0=0\n",
- "f1=1\n",
- "while (True):\n",
- " f2 = f0 + f1\n",
- " if (f2 > bound):\n",
- " break\n",
- " print \", %d\" % f2,\n",
- " f0 = f1\n",
- " f1 = f2\n",
- " "
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Enter a positive integer: \n"
- ]
- },
- {
- "name": "stdout",
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "10\n"
- ]
- },
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Fibonacci numbers < 10:\n",
- "0, 1 , 1 , 2 , 3 , 5 , 8\n"
- ]
- }
- ],
- "prompt_number": 6
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 4.6, page no. 63"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "import sys\n",
- "print \"Enter a positive integer: \"\n",
- "bound = int(raw_input())\n",
- "print \"Fibonacci numbers < %d:\\n0, 1\" % bound ,\n",
- "f0=0\n",
- "f1=1\n",
- "while (True):\n",
- " f2 = f0 + f1\n",
- " if (f2 > bound):\n",
- " sys.exit(0)\n",
- " print \", %d\" % f2,\n",
- " f0 = f1\n",
- " f1 = f2\n",
- " "
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Enter a positive integer: \n"
- ]
- },
- {
- "name": "stdout",
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "10\n"
- ]
- },
- {
- "ename": "SystemExit",
- "evalue": "0",
- "output_type": "pyerr",
- "traceback": [
- "An exception has occurred, use %tb to see the full traceback.\n",
- "\u001b[1;31mSystemExit\u001b[0m\u001b[1;31m:\u001b[0m 0\n"
- ]
- },
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Fibonacci numbers < 10:\n",
- "0, 1 , 1 , 2 , 3 , 5 , 8"
- ]
- },
- {
- "output_type": "stream",
- "stream": "stderr",
- "text": [
- "To exit: use 'exit', 'quit', or Ctrl-D.\n"
- ]
- }
- ],
- "prompt_number": 7
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 4.7, page no. 63"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "print \"Enter a positive integer: \"\n",
- "bound = int(raw_input())\n",
- "print \"Fibonacci numbers < %d:\\n0, 1\" % bound ,\n",
- "f0=0\n",
- "f1=1\n",
- "# Error : infinite loop !\n",
- "while (True):\n",
- " f2 = f0 + f1\n",
- " # By commenting the below if statement, it goes to infinite.\n",
- " if (f2 > bound):\n",
- " break\n",
- " print \", %d\" % f2,\n",
- " f0 = f1\n",
- " f1 = f2"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Enter a positive integer: \n",
- "Fibonacci numbers < 10:\n",
- "0, 1 , 1 , 2 , 3 , 5 , 8\n"
- ]
- }
- ],
- "prompt_number": 1
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 4.8, page no. 64"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "i=0\n",
- "print \"Enter a positive integer: \"\n",
- "n = int(raw_input())\n",
- "s=0\n",
- "while i<=n:\n",
- " s += i\n",
- " i += 1\n",
- "print \"The sum of the first %d integers is %d\" %(n,s)\n"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Enter a positive integer: \n"
- ]
- },
- {
- "name": "stdout",
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "10\n"
- ]
- },
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "The sum of the first 10 integers is 55\n"
- ]
- }
- ],
- "prompt_number": 3
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 4.9, page no. 65"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "print \"Enter a positive integer: \"\n",
- "bound = int(raw_input())\n",
- "print \"Factorial numbers < %d:\\n1, 1\" %bound,\n",
- "f=1\n",
- "i=1\n",
- "while f < bound:\n",
- " i += 1\n",
- " f *= i\n",
- " print \", %d\" %f,\n"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Enter a positive integer: \n"
- ]
- },
- {
- "name": "stdout",
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "10\n"
- ]
- },
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Factorial numbers < 10:\n",
- "1, 1 , 2 , 6 , 24\n"
- ]
- }
- ],
- "prompt_number": 4
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 4.10, page no. 66"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "print \"Enter a positive integer: \"\n",
- "n = int(raw_input())\n",
- "s=0;\n",
- "for i in range(0,n+1):\n",
- " s += i\n",
- "print \"The sum of the first %d integers is %d\" %(n,s)\n"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Enter a positive integer: \n"
- ]
- },
- {
- "name": "stdout",
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "10\n"
- ]
- },
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "The sum of the first 10 integers is 55\n"
- ]
- }
- ],
- "prompt_number": 5
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 4.11, page no. 66"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "print \"Enter a positive integer: \"\n",
- "n = int(raw_input())\n",
- "s=0\n",
- "for i in range(1,n/2): # the scope of this i is this loop\n",
- " s += i\n",
- "\n",
- "for i in range(n/2,n+1): # the scope of this i is this loop\n",
- " s += i\n",
- "print \"The sum of the first %d integers is %d\" % (n,s)\n"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Enter a positive integer: \n"
- ]
- },
- {
- "name": "stdout",
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "10\n"
- ]
- },
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "The sum of the first 10 integers is 55\n"
- ]
- }
- ],
- "prompt_number": 6
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 4.12, page no. 66"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "print \"Enter a positive integer: \"\n",
- "bound = int(raw_input())\n",
- "\n",
- "print \"Factorial numbers that are <= %d:\\n1, 1\" %bound,\n",
- "f=1\n",
- "for i in range(2,bound+1):\n",
- " f *= i\n",
- " print \", %d\" % f,\n"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Enter a positive integer: \n"
- ]
- },
- {
- "name": "stdout",
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "10\n"
- ]
- },
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Factorial numbers that are <= 10:\n",
- "1, 1 , 2 , 6 , 24 , 120 , 720 , 5040 , 40320 , 362880 , 3628800\n"
- ]
- }
- ],
- "prompt_number": 7
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 4.13, page no. 67"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "\n",
- "\n",
- "for i in range(10,0,-1):\n",
- " print i,\n"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "10 9 8 7 6 5 4 3 2 1\n"
- ]
- }
- ],
- "prompt_number": 8
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 4.14, page no. 67"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "prime = True\n",
- "print \"Enter a positive integer: \"\n",
- "n = int(raw_input())\n",
- "if (n < 2):\n",
- " print \"%d is not prime.\" %n\n",
- " prime = False\n",
- "elif (n < 4):\n",
- " print \"%d is prime.\" %n\n",
- " prime = False\n",
- "elif (n%2 == 0):\n",
- " print \"%d = 2* %d\" %(n,n/2)\n",
- " prime = False\n",
- "else:\n",
- " for d in range(3,n/2+1):\n",
- " if (n%d == 0):\n",
- " print \"%d = %d * %d\" %(n,d,n/d)\n",
- " prime = False\n",
- "if prime: \n",
- " print \"%d is prime.\"%n\n"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Enter a positive integer: \n"
- ]
- },
- {
- "name": "stdout",
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "11\n"
- ]
- },
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "11 is prime.\n"
- ]
- }
- ],
- "prompt_number": 9
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 4.15, page no. 68"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "print \"Enter positive integers (0 to quit): \";\n",
- "n = int(raw_input())\n",
- "m = n\n",
- "while n > 0:\n",
- " n = int(raw_input())\n",
- " if n > m :\n",
- " m = n\n",
- "\n",
- "print \"max = %d\" % m"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Enter positive integers (0 to quit): \n"
- ]
- },
- {
- "name": "stdout",
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "5\n"
- ]
- },
- {
- "name": "stdout",
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "19\n"
- ]
- },
- {
- "name": "stdout",
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "42\n"
- ]
- },
- {
- "name": "stdout",
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "1\n"
- ]
- },
- {
- "name": "stdout",
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "0\n"
- ]
- },
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "max = 42\n"
- ]
- }
- ],
- "prompt_number": 10
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 4.16, page no. 68"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "print \"Enter positive integers (0 to quit): \";\n",
- "n = int(raw_input())\n",
- "m = n\n",
- "while n > 0: \n",
- " if n < m :\n",
- " m = n\n",
- " n = int(raw_input())\n",
- "\n",
- "print \"min = %d\" % m\n",
- "\n"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Enter positive integers (0 to quit): \n"
- ]
- },
- {
- "name": "stdout",
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "5\n"
- ]
- },
- {
- "name": "stdout",
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "19\n"
- ]
- },
- {
- "name": "stdout",
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "42\n"
- ]
- },
- {
- "name": "stdout",
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "1\n"
- ]
- },
- {
- "name": "stdout",
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "0\n"
- ]
- },
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "min = 1\n"
- ]
- }
- ],
- "prompt_number": 11
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 4.17, page no. 69"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "m = 95\n",
- "n = 11\n",
- "while m%n > 0:\n",
- " print \"%d modulo %d = %d\" %(m,n,m%n)\n",
- " m -= 3\n",
- " n += 1\n"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "95 modulo 11 = 7\n",
- "92 modulo 12 = 8\n",
- "89 modulo 13 = 11\n",
- "86 modulo 14 = 2\n",
- "83 modulo 15 = 8\n"
- ]
- }
- ],
- "prompt_number": 12
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 4.18, page no. 69"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "for x in range(1,13):\n",
- " for y in range(1,13):\n",
- " print \"%4d\" % (x*y),\n",
- " print \"\"\n"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- " 1 2 3 4 5 6 7 8 9 10 11 12 \n",
- " 2 4 6 8 10 12 14 16 18 20 22 24 \n",
- " 3 6 9 12 15 18 21 24 27 30 33 36 \n",
- " 4 8 12 16 20 24 28 32 36 40 44 48 \n",
- " 5 10 15 20 25 30 35 40 45 50 55 60 \n",
- " 6 12 18 24 30 36 42 48 54 60 66 72 \n",
- " 7 14 21 28 35 42 49 56 63 70 77 84 \n",
- " 8 16 24 32 40 48 56 64 72 80 88 96 \n",
- " 9 18 27 36 45 54 63 72 81 90 99 108 \n",
- " 10 20 30 40 50 60 70 80 90 100 110 120 \n",
- " 11 22 33 44 55 66 77 88 99 110 121 132 \n",
- " 12 24 36 48 60 72 84 96 108 120 132 144 \n"
- ]
- }
- ],
- "prompt_number": 13
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 4.19, page no. 70"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "import math\n",
- "# defines pow() and log()\n",
- "\n",
- "print \"Enter a positive integer: \"\n",
- "n = int(raw_input())\n",
- "d=0 # the discrete binary logarithm of n\n",
- "p2d=1 # = 2^d\n",
- "i = n\n",
- "while i > 1:\n",
- " # INVARIANT: 2^d <= n/i < 2*2^d\n",
- " p2d=math.pow(2,d) # = 2^d\n",
- " print \"%2d <= %2d\" %(p2d,2*p2d)\n",
- " i /= 2\n",
- " d += 1\n",
- "\n",
- "p2d=math.pow(2,d) # = 2^d\n",
- "print \"%2d <= %2d < %2d\" %(p2d,n,2*p2d)\n",
- "print \" The discrete binary logarithm of is %d\" % d \n",
- "lgn = math.log(n)/math.log(2) # base 2 logarithm\n",
- "print \"The continuous binary logarithm of is %f\" % lgn"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Enter a positive integer: \n"
- ]
- },
- {
- "name": "stdout",
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "17\n"
- ]
- },
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- " 1 <= 2\n",
- " 2 <= 4\n",
- " 4 <= 8\n",
- " 8 <= 16\n",
- "16 <= 17 < 32\n",
- " The discrete binary logarithm of is 4\n",
- "The continuous binary logarithm of is 4.087463\n"
- ]
- }
- ],
- "prompt_number": 14
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 4.20, page no. 71"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "i=1\n",
- "print \"Enter a positive integer: \"\n",
- "n = int(raw_input())\n",
- "s=0\n",
- "while (True):\n",
- " if (i > n):\n",
- " break\n",
- " s += i\n",
- " i += 1\n",
- "\n",
- "print \"The sum of the first %d integers is %d\" %(i,s)\n"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Enter a positive integer: \n"
- ]
- },
- {
- "name": "stdout",
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "10\n"
- ]
- },
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "The sum of the first 11 integers is 55\n"
- ]
- }
- ],
- "prompt_number": 15
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 4.21, page no. 71"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "count=0\n",
- "s=0\n",
- "print \"Enter positive integers (0 to quit):\" \n",
- "while True: # \"forever\"\n",
- " print \"\\t %d :\" %(count + 1),\n",
- " n = int(raw_input())\n",
- " if (n <= 0):\n",
- " break\n",
- " count += 1\n",
- " s += n\n",
- "\n",
- "print \"The average of those %d positive numbers is \" %count,\n",
- "print float(s)/count\n"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Enter positive integers (0 to quit):\n",
- "\t 1 :"
- ]
- },
- {
- "name": "stdout",
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "12\n"
- ]
- },
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- " \t 2 :"
- ]
- },
- {
- "name": "stdout",
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "32\n"
- ]
- },
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- " \t 3 :"
- ]
- },
- {
- "name": "stdout",
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "11\n"
- ]
- },
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- " \t 4 :"
- ]
- },
- {
- "name": "stdout",
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "0\n"
- ]
- },
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- " The average of those 3 positive numbers is 18.3333333333\n"
- ]
- }
- ],
- "prompt_number": 16
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 4.22, page no. 72"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "for x in range(1,13):\n",
- " for y in range(1,13):\n",
- " if y>x:\n",
- " break\n",
- " else:\n",
- " print '%4d' %(x*y),\n",
- " print ''\n"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- " 1 \n",
- " 2 4 \n",
- " 3 6 9 \n",
- " 4 8 12 16 \n",
- " 5 10 15 20 25 \n",
- " 6 12 18 24 30 36 \n",
- " 7 14 21 28 35 42 49 \n",
- " 8 16 24 32 40 48 56 64 \n",
- " 9 18 27 36 45 54 63 72 81 \n",
- " 10 20 30 40 50 60 70 80 90 100 \n",
- " 11 22 33 44 55 66 77 88 99 110 121 \n",
- " 12 24 36 48 60 72 84 96 108 120 132 144 \n"
- ]
- }
- ],
- "prompt_number": 17
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 4.23, page no. 73"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "while True:\n",
- " n = int(raw_input('Enter int : '))\n",
- " if (n%2 == 0):\n",
- " continue\n",
- " if (n%3 == 0):\n",
- " break\n",
- " print \"\\tBottom of loop.\\n\"\n",
- "print \"\\tOutside of loop.\\n\"\n"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Enter int : 5\n"
- ]
- },
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "\tBottom of loop.\n",
- "\n"
- ]
- },
- {
- "name": "stdout",
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Enter int : 4\n"
- ]
- },
- {
- "name": "stdout",
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Enter int : 6\n"
- ]
- },
- {
- "name": "stdout",
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Enter int : 9\n"
- ]
- },
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "\tOutside of loop.\n",
- "\n"
- ]
- }
- ],
- "prompt_number": 18
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 4.24, page no. 74"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "N=5\n",
- "done=False\n",
- "for i in range(N):\n",
- " for j in range(N):\n",
- " if done:\n",
- " break\n",
- " for k in range(N):\n",
- " if done:\n",
- " break\n",
- " if (i+j+k>N):\n",
- " done = True\n",
- " else:\n",
- " print i+j+k,\n",
- " print \" \",\n",
- " print \"* \"\n",
- " print \".\" \n",
- " done = False\n"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "0 1 2 3 4 * \n",
- "1 2 3 4 5 * \n",
- "2 3 4 5 * \n",
- ".\n",
- "1 2 3 4 5 * \n",
- "2 3 4 5 * \n",
- ".\n",
- "2 3 4 5 * \n",
- ".\n",
- "3 4 5 * \n",
- ".\n",
- "4 5 * \n",
- ".\n"
- ]
- }
- ],
- "prompt_number": 19
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 4.25, page no. 75"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "N=5\n",
- "done=False\n",
- "for i in range(N):\n",
- " for j in range(N):\n",
- " if done:\n",
- " break\n",
- " for k in range(N):\n",
- " if done:\n",
- " break\n",
- " if (i+j+k>N):\n",
- " done = True\n",
- " else:\n",
- " print i+j+k,\n",
- " print \" \",\n",
- " print \"* \"\n",
- " print \".\" \n",
- " done = False\n"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "0 1 2 3 4 * \n",
- "1 2 3 4 5 * \n",
- "2 3 4 5 * \n",
- ".\n",
- "1 2 3 4 5 * \n",
- "2 3 4 5 * \n",
- ".\n",
- "2 3 4 5 * \n",
- ".\n",
- "3 4 5 * \n",
- ".\n",
- "4 5 * \n",
- ".\n"
- ]
- }
- ],
- "prompt_number": 20
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 4.26, page no. 76"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "import random\n",
- "\n",
- "# prints pseudo-random numbers:\n",
- "\n",
- "for i in range(0,8):\n",
- " print random.random()\n",
- "\n",
- " "
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "0.702115758628\n",
- "0.969460447904\n",
- "0.409934401112\n",
- "0.700339443791\n",
- "0.093528851602\n",
- "0.132172955687\n",
- "0.0162887279366\n",
- "0.943010713478\n"
- ]
- }
- ],
- "prompt_number": 21
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 4.27, page no. 77"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "import random\n",
- "# prints pseudo-random numbers:\n",
- "print \"Enter seed: \"\n",
- "seed = int(raw_input())\n",
- "random.seed(seed);\n",
- "for i in range(0,8):\n",
- " print random.random()\n"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Enter seed: \n"
- ]
- },
- {
- "name": "stdout",
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "5\n"
- ]
- },
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "0.62290169489\n",
- "0.741786989261\n",
- "0.795193565566\n",
- "0.942450283777\n",
- "0.73989857474\n",
- "0.922324996665\n",
- "0.0290052282836\n",
- "0.465622654378\n"
- ]
- }
- ],
- "prompt_number": 22
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 4.28, page no. 78"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "import random\n",
- "for i in range(0,8):\n",
- " print random.random()\n"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "0.943356716998\n",
- "0.648974553137\n",
- "0.900900491751\n",
- "0.113205964653\n",
- "0.469069047782\n",
- "0.24657283262\n",
- "0.543760859236\n",
- "0.573941187928\n"
- ]
- }
- ],
- "prompt_number": 23
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Example 4.29, page no. 79"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "import random\n",
- "print \"Enter minimum and maximum: \"\n",
- "m = int(raw_input())\n",
- "n = int(raw_input())\n",
- "# lowest and highest numbers\n",
- "r = n - m + 1\n",
- "# number of numbers in range\n",
- "for i in range(0,20):\n",
- " j = int(random.random()*100 % r + m)\n",
- " print j,\n",
- " print \" \",\n"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Enter minimum and maximum: \n"
- ]
- },
- {
- "name": "stdout",
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "5\n"
- ]
- },
- {
- "name": "stdout",
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "15\n"
- ]
- },
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "6 15 10 8 15 9 7 7 11 6 5 15 14 15 15 15 11 13 14 6 \n"
- ]
- }
- ],
- "prompt_number": 24
- }
- ],
- "metadata": {}
- }
- ]
-} \ No newline at end of file