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In C program, print numbers in matrix diagonal pattern

王林
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2023-09-14 18:25:06559browse

The task is to print an n x n matrix in diagonal pattern.

If n is 3, then print a diagonal pattern matrix as follows:

In C program, print numbers in matrix diagonal pattern

So the output will be:

In C program, print numbers in matrix diagonal pattern

Example

Input: 3
Output:
   1 2 4
   3 5 7
   6 8 9
Input: 4
Output:
   1 2 4  7
   3 5 8 11
   6 9 12 14
   10 13 15 16

The question suggests that we are given a number n and generate a matrix of n x n, then we have to traverse the matrix in a diagonal pattern and store the values ​​in a in a separate matrix.

But this will increase the complexity of our code, so we will −

  • Create a size of N X N Matrix which will store the pattern before printing.

  • Store elements in the upper triangle of the pattern. Observe that as you move down the diagonal, the row index increases by 1 and the column index decreases by 1.

  • After completing the upper triangle, store the elements of the lower triangle in a similar way to the upper triangle, i.e. as you move down the diagonal, the row index increases by 1 and the column index decreases 1. The Chinese translation of

Algorithm

int printdiagonal(int n)
START
STEP 1: DECLARE int mat[n][n], i, j, k, d=1, m
STEP 2: LOOP FOR i = 0 AND i < n AND i++
   ASSIGN j AS i AND k AS 0
   LOOP FOR j = I AND j >= 0 AND j--
      ASSIGN mat[k][j] AS d
      INCREMENT d AND k BY 1
   END LOOP
END LOOP
STEP 3: LOOP FOR k = 1 AND k < n AND k++
   ASSIGN i AND m EQUALS TO k
   LOOP FOR j = n-1 AND j >= m AND j--
      ASSIGN mat[i][j] AS d;
      INCREMENT d AND i WITH 1
   END FOR
END FOR
STEP 4: LOOP FOR i = 0 AND i < n AND i++
   LOOP FOR j = 0 AND j < n AND j++
      PRINT mat[i][j]
   END FOR
   PRINT NEWLINE
END FOR
STOP

Example

is:

Example

#include <stdio.h>
int printdiagonal(int n){
   int mat[n][n], i, j, k, d=1, m;
   for ( i = 0; i < n; i++){
      j = i;
      k = 0;
      for ( j = i; j >= 0; j--){
         mat[k][j] = d;
         d++;
         k++;
      }
   }
   for ( k = 1; k < n; k++){
      i = m = k;
      for ( j = n-1; j >= m; j--){
         mat[i][j] = d;
         d++;
         i++;
      }
   }
   for ( i = 0; i < n; i++){
      for(j = 0; j < n; j++){
         printf("%d ", mat[i][j] );
      }
      printf("</p><p>");
   }
}
int main(int argc, char const *argv[]){
   int n = 3;
   printdiagonal(n);
   return 0;
}

Output

If we run The above program, it will generate the following output −

1 2 4
3 5 7
6 8 9

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