Package g1801_1900.s1895_largest_magic_square

Class Solution

java.lang.Object
g1801_1900.s1895_largest_magic_square.Solution
public class Solution extends java.lang.Object
1895 - Largest Magic Square.

Medium

A k x k magic square is a k x k grid filled with integers such that every row sum, every column sum, and both diagonal sums are all equal. The integers in the magic square do not have to be distinct. Every 1 x 1 grid is trivially a magic square.

Given an m x n integer grid, return the size (i.e., the side length k) of the largest magic square that can be found within this grid.

Example 1:

Input: grid = [[7,1,4,5,6],[2,5,1,6,4],[1,5,4,3,2],[1,2,7,3,4]]

Output: 3

Explanation: The largest magic square has a size of 3.

Every row sum, column sum, and diagonal sum of this magic square is equal to 12.

  • Row sums: 5+1+6 = 5+4+3 = 2+7+3 = 12

  • Column sums: 5+5+2 = 1+4+7 = 6+3+3 = 12

  • Diagonal sums: 5+4+3 = 6+4+2 = 12

Example 2:

Input: grid = [[5,1,3,1],[9,3,3,1],[1,3,3,8]]

Output: 2

Constraints:

  • m == grid.length
  • n == grid[i].length
  • 1 <= m, n <= 50
  • 1 <= grid[i][j] <= 106

  • Constructor Summary

    Constructors
    Constructor
    Description
    Solution()
     

  • Method Summary

    Modifier and Type
    Method
    Description
    int
    largestMagicSquare(int[][] grid)
     

    Methods inherited from class java.lang.Object

    clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

  • Constructor Details

    • Solution

      public Solution()

  • Method Details

    • largestMagicSquare

      public int largestMagicSquare(int[][] grid)