{
"metadata": {
"name": "",
"signature": "sha256:aced1a8512bbd1c950b44a0ce98d7bb529f62e617c89b1c73eec08ce49b27311"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Chapter 6: Arrays and Subscribed Variables"
]
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 1 , Page number: CP-122"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Program to find the sum of n numbers using array\n",
"# Variable declaration\n",
"\n",
"n = 5\n",
"x = [36,45,52,44,62]\n",
"\n",
"print \"How many integers ?\",n\n",
"print \"Enter the 1th value :\",x[0]\n",
"print \"Enter the 2th value :\",x[1]\n",
"print \"Enter the 3th value :\",x[2]\n",
"print \"Enter the 4th value :\",x[3]\n",
"print \"Enter the 5th value :\",x[4]\n",
"\n",
"summ = 0 \n",
"\n",
"# Calculation of sum of numbers\n",
"for i in x:\n",
" summ = summ + i\n",
" \n",
"\n",
"print \"Sum of all integers =\",summ\n",
" "
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"How many integers ? 5\n",
"Enter the 1th value : 36\n",
"Enter the 2th value : 45\n",
"Enter the 3th value : 52\n",
"Enter the 4th value : 44\n",
"Enter the 5th value : 62\n",
"Sum of all integers = 239\n"
]
}
],
"prompt_number": 1
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 2 , Page number: CP-123"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Program to find the biggest of n numbers\n",
"# Variable declaration\n",
"\n",
"n = 5\n",
"x = [25,-228,0,185,36]\n",
"\n",
"print \"How many numbers ?\",n\n",
"print \"Enter all those numbers\"\n",
"for a in x:\n",
" print a,\n",
"print \n",
"\n",
"big = x[0]\n",
"\n",
"\n",
"for i in x:\n",
" if (i > big):\n",
" big = i\n",
"\n",
"\n",
"print \"%d is the biggest number\" % big "
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"How many numbers ? 5\n",
"Enter all those numbers\n",
"25 -228 0 185 36\n",
"185 is the biggest number\n"
]
}
],
"prompt_number": 2
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 3 , Page number: Cp-124"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Program to find the arithmetic mean, variance and standard deviation\n",
"# Variable declaration\n",
"\n",
"n = 6\n",
"x = [3.1,3.8,3.6,4.0,3.4,3.8]\n",
"summ = 0\n",
"vsum = 0\n",
"\n",
"print \"How many values ?\",n\n",
"print \"Enter all values in the list \"\n",
"for a in x:\n",
" print a,\n",
"print \n",
"\n",
"# Loop to find sum of all values\n",
"\n",
"for i in x:\n",
" summ = summ + i\n",
"\n",
"xbar = summ / n\n",
"\n",
"# Loop to find the numerator vsum to find variance\n",
"\n",
"for i in x:\n",
" vsum = vsum + (i - xbar) * (i - xbar)\n",
"\n",
"\n",
"sigmax = vsum / n\n",
"sd = sigmax ** 0.5\n",
"\n",
"print \"Arithmetic mean = %0.3f\" % xbar\n",
"print \"Variance = %0.3f \" % sigmax\n",
"print \"Standard deviation = %0.3f\" % sd"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"How many values ? 6\n",
"Enter all values in the list \n",
"3.1 3.8 3.6 4.0 3.4 3.8\n",
"Arithmetic mean = 3.617\n",
"Variance = 0.088 \n",
"Standard deviation = 0.297\n"
]
}
],
"prompt_number": 3
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 4 , Page number: CP-126"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Program to calculate mean of marks and print list of marks greater than mean\n",
"# Variable declaration\n",
"\n",
"n = 5\n",
"x = [58,63,68,54,48]\n",
"summ = 0 # Used summ instead of sum since it was a inbuilt function\n",
"i = 0\n",
"\n",
"print \"How many students ?\",n\n",
"print \"Enter all the marks \"\n",
"for a in x:\n",
" print a,\n",
"print \n",
"\n",
"for i in x:\n",
" summ = summ + i\n",
"\n",
"mean = float(summ) / n\n",
"\n",
"print \"Mean = %0.2f\" % mean\n",
"print \"Marks greater than mean :\",\n",
"\n",
"i = 0\n",
"for i in x:\n",
" if (i > mean):\n",
" print i,\n",
"\n",
" "
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"How many students ? 5\n",
"Enter all the marks \n",
"58 63 68 54 48\n",
"Mean = 58.20\n",
"Marks greater than mean : 63 68\n"
]
}
],
"prompt_number": 4
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 5 , Page number: CP-127"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Program to find sum of all positive and negative numbers and to find out which is larger in magnitude\n",
"# Variable declaration\n",
"import math\n",
"\n",
"n = 6\n",
"x = [8,-12,-16,12,-9,5]\n",
"psum = 0\n",
"nsum = 0\n",
"\n",
"print \"How many values ?\",n\n",
"print \"Enter all values in the list\"\n",
"for i in x:\n",
" print i,\n",
"print \n",
"\n",
"# Loop to calculate sum of positive and negative values\n",
"\n",
"for i in x:\n",
" if i > 0:\n",
" psum = psum + i\n",
" else:\n",
" nsum = nsum + i\n",
"\n",
"print \"Sum of positive values = %0.2f\" % psum\n",
"print \"Sum of negative values = %0.2f\" % nsum\n",
"\n",
"if (psum > abs(nsum)):\n",
" print \"Positive sum is greater in magnitude\"\n",
"else:\n",
" print \"Negative sum is greater in magnitude\"\n",
"\n",
"diff = abs(psum) - abs(nsum)\n",
"print \"Difference in magnitude = %0.2f\" % abs(diff)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"How many values ? 6\n",
"Enter all values in the list\n",
"8 -12 -16 12 -9 5\n",
"Sum of positive values = 25.00\n",
"Sum of negative values = -37.00\n",
"Negative sum is greater in magnitude\n",
"Difference in magnitude = 12.00\n"
]
}
],
"prompt_number": 5
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 6 , Page number: CP-129"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Program to sort n numbers in ascending order\n",
"# Variable declaration\n",
"\n",
"n = 4\n",
"x = [32,-10,20,5]\n",
"i = 0\n",
"\n",
"\n",
"print \"How many numbers ?\",n\n",
"print \"Enter the list of 4 numbers\"\n",
"for a in x:\n",
" print a,\n",
"print\n",
"\n",
"# Loop to arrange the numbers in ascending order\n",
"\n",
"while i < n-1:\n",
" j = i + 1\n",
" while j < n:\n",
" if x[i] > x[j]:\n",
" temp = x[i]\n",
" x[i] = x[j]\n",
" x[j] = temp\n",
" j = j + 1\n",
" i = i + 1\n",
"\n",
"print \"Numbers in ascending order \"\n",
"\n",
"for a in x:\n",
" print a,\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"How many numbers ? 4\n",
"Enter the list of 4 numbers\n",
"32 -10 20 5\n",
"Numbers in ascending order \n",
"-10 5 20 32\n"
]
}
],
"prompt_number": 6
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 7 , Page number: CP-131"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Program to search the key value and to print it if the search is successful\n",
"# Variable declaration\n",
"\n",
"n = 6\n",
"x = [6,-2,8,3,13,10]\n",
"s = 3\n",
"\n",
"print \"How many values in the list ?\",n\n",
"print \"Enter all values in the list\"\n",
"for i in x:\n",
" print i,\n",
"print \n",
"print \"Enter the key value to be searched :\",s\n",
"\n",
"# loop to search key value in the list\n",
"\n",
"for i in range(n):\n",
" if s == x[i]:\n",
" print s,\" is available in\",i+1,\"th location\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"How many values in the list ? 6\n",
"Enter all values in the list\n",
"6 -2 8 3 13 10\n",
"Enter the key value to be searched : 3\n",
"3 is available in 4 th location\n"
]
}
],
"prompt_number": 7
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 8 , Page number: CP-133"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Program to sort n numbers using bubble sort and find number of exchanges and passes\n",
"# Variable declaration\n",
"\n",
"n = 4\n",
"x = [6,-2,8,3]\n",
"exchng = 0\n",
"\n",
"print \"How many numbers?\",n\n",
"print \"Enter all the numbers in the list\"\n",
"for i in x:\n",
" print i,\n",
"\n",
"print\n",
"\n",
"for i in range(0,n-1):\n",
" for j in range(0,n-i-1):\n",
" if x[j] > x[j+1]:\n",
" temp = x[j]\n",
" x[j] = x[j+1]\n",
" x[j+1] = temp\n",
" exchng = exchng + 1\n",
" \n",
"\n",
"print \"The sorted list is\"\n",
"for i in x:\n",
" print i,\n",
"\n",
"print \n",
"\n",
"print \"Sorted in\",n-1,\"passes and\",exchng,\"exchanges\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"How many numbers? 4\n",
"Enter all the numbers in the list\n",
"6 -2 8 3\n",
"The sorted list is\n",
"-2 3 6 8\n",
"Sorted in 3 passes and 3 exchanges\n"
]
}
],
"prompt_number": 8
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 9 , Page number: CP-135"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Program to add two matrices\n",
"# Variable declaration\n",
"\n",
"a = [[2,-2],\n",
" [0,4]]\n",
"b = [[6,2],\n",
" [4,-5]]\n",
"\n",
"c = [[0,0],\n",
" [0,0]]\n",
"\n",
"m = 2\n",
"n = 2\n",
"\n",
"print \"How many rows and columns ?\",m,n\n",
"print \"Enter A matrix\"\n",
"for i in a:\n",
" print i\n",
"\n",
"print \"Enter B matrix\"\n",
"for j in b:\n",
" print j\n",
"\n",
"# Loop to add two matrices\n",
"\n",
"for i in range(m):\n",
" for j in range(n):\n",
" c[i][j] = a[i][j] + b[i][j]\n",
"\n",
"\n",
"print \"Resultant matrix is\"\n",
"for ci in c:\n",
" print ci"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"How many rows and columns ? 2 2\n",
"Enter A matrix\n",
"[2, -2]\n",
"[0, 4]\n",
"Enter B matrix\n",
"[6, 2]\n",
"[4, -5]\n",
"Resultant matrix is\n",
"[8, 0]\n",
"[4, -1]\n"
]
}
],
"prompt_number": 11
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 10 , Page number: CP-136"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Program to multiply two matrices\n",
"# Variable declaration\n",
"\n",
"m = 2\n",
"n = 2\n",
"l = 2\n",
"a = [[2,-2],\n",
" [0,4]]\n",
"b = [[6,2],\n",
" [4,-5]]\n",
"c = [[0,0],\n",
" [0,0]]\n",
"\n",
"print \"Enter order of A matrix :\",m,n\n",
"print \"Enter A matrix\"\n",
"for i in a:\n",
" print i\n",
"print \"Enter order of B matrix :\",m,n\n",
"print \"Enter B matrix\"\n",
"for j in b:\n",
" print j\n",
"\n",
"# Loop to multiply two matrices\n",
"# iterate through rowa of A\n",
"for i in range(m):\n",
" # iterate through columns of B\n",
" for j in range(l):\n",
" c[i][j] = 0\n",
" # iterate through rows of B\n",
" for k in range(n):\n",
" c[i][j] = c[i][j] + a[i][k] * b[k][j]\n",
"\n",
"\n",
"print \"Resultant matrix is\"\n",
"\n",
"for i in c:\n",
" print i\n",
" "
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Enter order of A matrix : 2 2\n",
"Enter A matrix\n",
"[2, -2]\n",
"[0, 4]\n",
"Enter order of B matrix : 2 2\n",
"Enter B matrix\n",
"[6, 2]\n",
"[4, -5]\n",
"Resultant matrix is\n",
"[4, 14]\n",
"[16, -20]\n"
]
}
],
"prompt_number": 12
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 11 , Page number: CP-138"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Program to find and print the transpose of the matrix\n",
"# Variable declaration\n",
"\n",
"m = 2\n",
"n = 3\n",
"a = [[-3,6,0],\n",
" [3,2,8]]\n",
"at = [[0,0],\n",
" [0,0],\n",
" [0,0]]\n",
"\n",
"print \"Enter order of the matrix :\",m,n\n",
"print \"Enter the matrix values\"\n",
"for i in a :\n",
" print i\n",
"\n",
"# Loop to calculate transpose\n",
"\n",
"for i in range(m):\n",
" for j in range(n):\n",
" at[j][i] = a[i][j]\n",
"\n",
"print \"The transposed matrix is \"\n",
"for i in at:\n",
" print i\n",
" "
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Enter order of the matrix : 2 3\n",
"Enter the matrix values\n",
"[-3, 6, 0]\n",
"[3, 2, 8]\n",
"The transposed matrix is \n",
"[-3, 3]\n",
"[6, 2]\n",
"[0, 8]\n"
]
}
],
"prompt_number": 13
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 12 ,Page number: CP-139"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Program to check whether a given matrix is symmetric or not\n",
"# Variable declaration\n",
"\n",
"m = 3\n",
"a = [[5,3,8],\n",
" [3,1,-7],\n",
" [8,-7,4]]\n",
"\n",
"print \"Enter order of the square matrix :\",m\n",
"for i in a:\n",
" print i\n",
"\n",
"# Loop to check whether symmetric or not\n",
"\n",
"for i in range(m):\n",
" flag = 0\n",
" for j in range(m):\n",
" flag = 0\n",
" if a[i][j] == a[j][i]:\n",
" continue\n",
" else:\n",
" flag = 1\n",
"\n",
"if flag == 0:\n",
" print \"The given matrix is a symmetric matrix\"\n",
"else:\n",
" print \"The given matrix is not a symmetric matrix\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Enter order of the square matrix : 3\n",
"[5, 3, 8]\n",
"[3, 1, -7]\n",
"[8, -7, 4]\n",
"The given matrix is a symmetric matrix\n"
]
}
],
"prompt_number": 14
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 13 , Page number: CP-141"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Program to find the trace of a given square matrix\n",
"# Variable dclaration\n",
"\n",
"m = 3\n",
"a = [[3,2,-1],\n",
" [4,1,8],\n",
" [6,4,2]]\n",
"summ = 0\n",
"\n",
"print \"Enter order of the square matrix :\",m\n",
"print \"Enter the matrix\"\n",
"for i in a:\n",
" print i\n",
"\n",
"# Loop to find trace\n",
"for i in range(m):\n",
" summ = summ + a[i][i]\n",
"\n",
"print \"Trace of the matrix =\",summ "
],
"language": "python",
"metadata": {},
"outputs": []
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
}
],
"metadata": {}
}
]
}