Package g1901_2000.s1975_maximum_matrix_sum

Class Solution

java.lang.Object
g1901_2000.s1975_maximum_matrix_sum.Solution
public class Solution extends java.lang.Object
1975 - Maximum Matrix Sum.

Medium

You are given an n x n integer matrix. You can do the following operation any number of times:

  • Choose any two adjacent elements of matrix and multiply each of them by -1.

Two elements are considered adjacent if and only if they share a border.

Your goal is to maximize the summation of the matrix’s elements. Return the maximum sum of the matrix’s elements using the operation mentioned above.

Example 1:

Input: matrix = [[1,-1],[-1,1]]

Output: 4

Explanation: We can follow the following steps to reach sum equals 4:

  • Multiply the 2 elements in the first row by -1.

  • Multiply the 2 elements in the first column by -1.

Example 2:

Input: matrix = [[1,2,3],[-1,-2,-3],[1,2,3]]

Output: 16

Explanation: We can follow the following step to reach sum equals 16: - Multiply the 2 last elements in the second row by -1.

Constraints:

  • n == matrix.length == matrix[i].length
  • 2 <= n <= 250
  • -105 <= matrix[i][j] <= 105

  • Constructor Summary

    Constructors
    Constructor
    Description
    Solution()
     

  • Method Summary

    Modifier and Type
    Method
    Description
    long
    maxMatrixSum(int[][] matrix)
     

    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

    • maxMatrixSum

      public long maxMatrixSum(int[][] matrix)