Question

Use C++ (2D Array) Write a program which: 1. Assigns data given below into the 2D array of integers which is 10x10. 2. Prints out the contents of the 2D array after assigning the data to make sure correct data was assigned. 3. Figures out and prints out the square root of the sum of ALL the elements in the 2D array. 4. Figures out and prints out the average of ALL THE ELEMENTS in the 2D array. 5. Figures out and prints out the square root of the sum of the values of the elements of EACH ROW in the 2D array. 6. Figures out and prints the average of EACH COLUMN in the 2D array. 7. Figures out and prints out the square root of the sum of the values on the diagonal from upper left hand corner to bottom right hand corner. 8. Figures out and prints out the average of the values on the diagonal from upper right hand corner to bottom left hand corner.To make assigning the 100 values easy we will test with the following data:

use loops please!

1 2 3 4 5 6 7 8 9 10

11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

31 32 33 34 35 36 37 38 39 40

41 42 43 44 45 46 47 48 49 50

51 52 53 54 55 56 57 58 59 60

61 62 63 64 65 66 67 68 69 70

71 72 73 74 75 76 77 78 79 80

81 82 83 84 85 86 87 88 89 90

91 92 93 94 95 96 97 98 99 100

Answer 1

// C++ program to perform operations of 2D array
#include <iostream>
#include <cmath>
using namespace std;

#define SIZE 10 // size of 2D array

// function declaration
void initialize(int[][SIZE]);
void display(int[][SIZE]);
void calSquareRootTotal(int[][SIZE]);
void calAverageAll(int[][SIZE]);
void calSquareRootRows(int[][SIZE]);
void calAverageColumns(int[][SIZE]);
void calSquareRootMainDiagonal(int[][SIZE]);
void calAverageOtherDiagonal(int[][SIZE]);

int main() {

   int data[SIZE][SIZE];
   initialize(data);
   cout<<"Array elements: ";
   display(data);
   calSquareRootTotal(data);
   calAverageAll(data);
   calSquareRootRows(data);
   calAverageColumns(data);
   calSquareRootMainDiagonal(data);
   calAverageOtherDiagonal(data);

   return 0;
}

//function to assign values to the 2D array as given
void initialize(int data[][SIZE])
{
   int num=1,i,j;
   for(i=0;i<SIZE;i++)
   {
       for(j=0;j<SIZE;j++)
       {
           data[i][j] = num;
           num++;
       }
   }
}

// function to display the data elements
void display(int data[][SIZE])
{
   int i,j;
   for(i=0;i<SIZE;i++)
   {
       cout<<endl;
       for(j=0;j<SIZE;j++)
       {
           cout<<data[i][j]<<" ";
       }
   }
   cout<<endl;
}

// function to calculate and display square root of sum of all values in data
void calSquareRootTotal(int data[][SIZE])
{
   int total = 0;
   int i,j;
   // loop to calculate the total of array elements
   for(i=0;i<SIZE;i++)
   {
       for(j=0;j<SIZE;j++)
       {
           total += data[i][j];
       }
   }

   double result = sqrt(double(total)); // calculate square root of total
   cout<<"Square root of the sum of ALL the elements : "<<result<<endl;
}

// function to calculate and display the average of all values in data
void calAverageAll(int data[][SIZE])
{
   int total = 0;
   int i,j;
   // loop to calculate the total of array elements
   for(i=0;i<SIZE;i++)
   {
       for(j=0;j<SIZE;j++)
           total += data[i][j];
   }

   double avg = ((double)total)/(SIZE*SIZE); // calculate average
   cout<<"Average of ALL THE ELEMENTS : "<<avg<<endl;
}

// function to calculate and display the square root of sum of all values in each row
void calSquareRootRows(int data[][SIZE])
{
   int i,j;
   int total;
   double result;
   // loop to calculate sum of each row
   for(i=0;i<SIZE;i++)
   {
       total = 0;
       for(j=0;j<SIZE;j++)
           total += data[i][j];

       result = sqrt((double)total); // calculate the square root of sum of each row
       cout<<"Square root of sum of values in row "<<(i+1)<<" : "<<result<<endl;
   }
}

// function to calculate and display the average of sum of all values in each column
void calAverageColumns(int data[][SIZE])
{
   int total, i,j;
   double avg;
   // loop to calculate the sum of values in each column
   for(i=0;i<SIZE;i++)
   {
       total = 0;
       for(j=0;j<SIZE;j++)
           total += data[j][i];
       avg = ((double)total)/SIZE; // calculate average of each column values
       cout<<"Average of values in column "<<(i+1)<<" : "<<avg<<endl;
   }
}

// function to calculate and display the square root of the sum of the values on the diagonal from upper left hand corner to bottom right hand corner
void calSquareRootMainDiagonal(int data[][SIZE])
{
   int total=0, i;
   // loop to calculate the total of values in the main diagonal
   for(i=0;i<SIZE;i++)
   {
       total += data[i][i];
   }

   double result = sqrt((double)total); // calculate square root of sum of values in main diagonal
   cout<<"Square root of the sum of the values on the diagonal from upper left hand corner to bottom right hand corner : "<<result<<endl;
}

// function to calculate and display the average of the values on the diagonal from upper right hand corner to bottom left hand corner
void calAverageOtherDiagonal(int data[][SIZE])
{
   int i, total=0;
   // loop to calculate the total of values in other diagonal
   for(i=0;i<SIZE;i++)
       total += data[i][SIZE-1-i];
   double avg = ((double)total)/SIZE; // calculate the average of values in the other diagonal
   cout<<"Average of the values on the diagonal from upper right hand corner to bottom left hand corner : "<<avg<<endl;
}
//end of program

Output:

Array elements: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 Square root of the sum of ALL the elements : 71.0634 Average of ALL THE ELEMENTS : 50.5 Square root of sum of values in row 1 : 7.4162 Square root of sum of values in row 2 : 12.4499 Square root of sum of values in row 3 : 15.9687 Square root of sum of values in row 4 : 18.8414 Square root of sum of values in row 5 : 21.3307 Square root of sum of values in row 6 : 23.5584 Square root of sum of values in row 7 : 25.593 Square root of sum of values in row 8 : 27.4773 Square root of sum of values in row 9 : 29.2404 Square root of sum of values in row 10 : 30.9031 Average of values in column 1 : 46 Average of values in column 2 : 47 Average of values in column 3 : 48 Average of values in column 4 : 49 Average of values in column 5 : 50 Average of values in column 6 : 51 Average of values in column 7 : 52 Average of values in column 8 : 53 Average of values in column 9 : 54 Average of values in column 10 : 55 Square root of the sum of the values on the diagonal from upper left hand corner to bottom right hand corner : 22.4722 Average of the values on the diagonal from upper right hand corner to bottom left hand corner : 50.5