How to Find Saddle Point of a Matrix in Java

Today we are going to learn how to find the saddle point of a matrix in Java. As we all know a matrix is a 2-Dimensional array and in it, Saddle point is that element of the matrix which is lowest in its row but the highest in its column.

Saddle Point of a Matrix in Java

There are many ways to solve this problem,  One of the solutions is provided here.
Following are the steps to follow-
1. Traverse the row and find the smallest number. Save its column number in a variable.
2. Now traverse the same column check if the row ‘s smallest number is greatest in its column.
3. If yes print the number , if no check for next row.
4. If no such point is there in the array, print no saddle point.

here is the code for the same.

import java.util.Scanner;

/**
 * @author darshna
 *
 */
public class Saddle_point {

  public static void main(String[] args) {
    Scanner s = new Scanner(System.in);

System.out.println("enter the size of 2d matrix");
    int n = s.nextInt();  
    int arr[][] = new int[n][n];

System.out.println("enter the array:-");
    for (int i = 0; i < n; i++)
      for (int j = 0; j < n; j++) 
     {
        arr[i][j] = s.nextInt();
     }
    int col_max = 0;

    for (int i = 0; i < n; i++) 
    {
      int row_min = arr[i][0];  //smallest of row
     
      int col = 0;
      for (int j = 1; j < n; j++) 
      {
        if (arr[i][j] < row_min) 
        {
          row_min = arr[i][j];
          col = j;
        }
      }
      for (int k = 0; k < n; k++) 
      {
        if (row_min < arr[k][col]) 
        {
          col_max = 0;
          break;
        } else
          col_max = row_min;
      }
      if (col_max != 0)
        System.out.println("saddle point " + col_max);
    }
    
  }

}

Output:-

enter the size of 2d matrix
3
enter the array:-
1 2 3
4 5 6 
7 8 9
saddle point 7

Hope you understand the code.

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