Given a matrix, we need to print the bounding elements of the matrix and display their sum.
Refer to the matrix given below -
1 2 3 4 5 6 7 8 9
1 2 3 4 6 7 8 9
Sum of boundary elements: 1 2 3 4 6 7 8 9 = 40
The logic of finding the sum of the boundary matrices is as follows-
for(i = 0; i<m; i++){ for(j = 0; j<n; j++){ if (i == 0 || j == 0 || i == n – 1 || j == n – 1){ printf("%d ", mat[i][j]); sum = sum + mat[i][j]; } else printf(" "); } printf("</p><p>"); }
The following is used C program to print the sum of matrix boundary elements-
#include<stdio.h> #include<limits.h> int main(){ int m, n, sum = 0; printf("</p><p>Enter the order of the matrix : "); scanf("%d %d",&m,&n); int i, j; int mat[m][n]; printf("</p><p>Input the matrix elements</p><p>"); for(i = 0; i<m; i++){ for(j = 0; j<n; j++) scanf("%d",&mat[i][j]); } printf("</p><p>Boundary Matrix</p><p>"); for(i = 0; i<m; i++){ for(j = 0; j<n; j++){ if (i == 0 || j == 0 || i == n – 1 || j == n – 1){ printf("%d ", mat[i][j]); sum = sum + mat[i][j]; } else printf(" "); } printf("</p><p>"); } printf("</p><p>Sum of boundary is %d", sum); }
When the above program is executed, the following results are produced-
Enter the order of the matrix : 3 3 Input the matrix elements : 1 2 3 4 5 6 7 8 9 Boundary Matrix : 1 2 3 4 6 7 8 9 Sum of boundary is 40
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