Max Square Area by Removing Fences in a Field

Hello Everyone, Day 16 / #100DaysOfCode LeetCode 2975 — Maximum Square Area by Removing Fences From a Field (Medium) Problem: You’re given a large rectangular field divided by horizontal and vertical fences. Some fences can be removed (boundary fences cannot). The goal is to form the largest possible square area by removing fences and return its area modulo 10^9 + 7. Key Insight: A square is possible only if the horizontal gap equals the vertical gap. So the problem reduces to: 1. Find all possible distances between pairs of horizontal fences. 2. Find all possible distances between pairs of vertical fences. 3. The largest common distance between the two determines the side of the square. Approach: - Add boundary fences (1 and m / n). - Sort fence positions. - Compute all possible differences between fence pairs. - Store horizontal differences in a set. - Iterate vertical differences and pick the maximum one that also exists in the horizontal set. - Square the side length and apply modulo. Why this works: Removing fences merges segments. Any square formed must span the same distance horizontally and vertically, so intersecting the two distance sets guarantees validity. Complexity: - Time: O(n^2+m^2) - Space: O(n^2) #Leetcode #DSA #Java

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