LeetCode 2943: Maximize Area of Square Hole in Grid Solution

Master LeetCode problem 2943 (Maximize Area of Square Hole in Grid), a medium challenge, with our optimized solutions in Java, C++, and Python. Explore detailed explanations, test your code in our interactive editor, and prepare for coding interviews.

2943. Maximize Area of Square Hole in Grid

Medium

Array Sorting

Problem Explanation

Explanation

To maximize the area of the square-shaped hole, we need to find the largest square that can be formed within the grid after removing some horizontal and vertical bars. We can achieve this by considering the minimum distance between adjacent horizontal bars and adjacent vertical bars. The maximum square area will be the minimum of these distances squared.

Sort the horizontal and vertical bars arrays.
Calculate the distances between adjacent horizontal bars and adjacent vertical bars.
Find the minimum distance from these calculated distances.
Return the square of the minimum distance as the maximum square area.

Time complexity: O(nlogn + mlogm)
Space complexity: O(n + m)

Solution Code

class Solution {
    public int maxArea(int n, int m, int[] hBars, int[] vBars) {
        Arrays.sort(hBars);
        Arrays.sort(vBars);
        
        int maxH = Math.max(hBars[0], n + 2 - hBars[hBars.length - 1]);
        int maxV = Math.max(vBars[0], m + 2 - vBars[vBars.length - 1]);
        
        for (int i = 1; i < hBars.length; i++) {
            maxH = Math.max(maxH, hBars[i] - hBars[i - 1]);
        }
        
        for (int i = 1; i < vBars.length; i++) {
            maxV = Math.max(maxV, vBars[i] - vBars[i - 1]);
        }
        
        return Math.min(maxH, maxV) - 1;
    }
}

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