Monday, November 17, 2014

Print Matrix Diagonally

Given a 2D matrix, print all elements of the given matrix in diagonal order. For example, consider the following 5 X 4 input matrix.
    1     2     3     4
    5     6     7     8
    9    10    11    12
   13    14    15    16
   17    18    19    20  (5x4)
Diagonal printing of the above matrix is
    1
    5     2
    9     6     3
   13    10     7     4
   17    14    11     8
   18    15    12
   19    16
   20
Following is C++ code for diagonal printing.
The diagonal printing of a given matrix ‘matrix[ROW][COL]‘ always has ‘ROW + COL – 1′ lines in output
#include <stdio.h>
#include <stdlib.h>
 
#define ROW 5
#define COL 4
 

int min(int a, int b)
{ return (a < b)? a: b; }
 
int min(int a, int b, int c)
{ return min(min(a, b), c);}
 

int max(int a, int b)
{ return (a > b)? a: b; }
 

void diagonalOrder(int matrix[][COL])
{
    for (int line=1; line<=(ROW + COL -1); line++)
    {
        /* Get column index of the first element in this line of output.
The index is 0 for first ROW lines and line - ROW for remaining
           lines  */
        int start_col =  max(0, line-ROW);
 
        /* Get count of elements in this line. The count of elements is
           equal to minimum of line number, COL-start_col and ROW */
         int count = min(line, (COL-start_col), ROW);
        for (int j=0; j<count; j++)
            printf("%5d ", matrix[min(ROW, line)-j-1][start_col+j]);
 
        /* Ptint elements of next diagonal on next line */
        printf("\n");
    }
}
 

void printMatrix(int matrix[ROW][COL])
{
    for (int i=0; i< ROW; i++)
    {
        for (int j=0; j<COL; j++)
            printf("%5d ", matrix[i][j]);
        printf("\n");
    }
}
 
int main()
{
    int M[ROW][COL] = {{1, 2, 3, 4},
                       {5, 6, 7, 8},
                       {9, 10, 11, 12},
                       {13, 14, 15, 16},
                       {17, 18, 19, 20},
                      };
    printf ("Given matrix is \n");
    printMatrix(M);
 
    printf ("\nDiagonal printing of matrix is \n");
    diagonalOrder(M);
    return 0;
}

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