#1975 - Maximum Matrix Sum

Medium • View on LeetCode • View on GitHub

Problem Description

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.

Solution

/**
 * @param {number[][]} matrix
 * @return {number}
 */
var maxMatrixSum = function(matrix) {
  let totalSum = 0;
  let negativeCount = 0;
  let minAbs = Infinity;

  for (const row of matrix) {
    for (const num of row) {
      totalSum += Math.abs(num);
      if (num < 0) negativeCount++;
      minAbs = Math.min(minAbs, Math.abs(num));
    }
  }

  return negativeCount % 2 === 0 ? totalSum : totalSum - 2 * minAbs;
};