LeetCode-2975: Maximum Square Area by Removing Fences From a Field

LeetCode/medium.py

@@ -0,0 +1,38 @@
+from typing import List
+
+
+class Solution:
+    # https://leetcode.com/problems/maximum-square-area-by-removing-fences-from-a-field
+    # 2975. Maximum Square Area by Removing Fences From a Field
+    def maximizeSquareArea(self, m: int, n: int, hFences: List[int], vFences: List[int]) -> int:
+        # Add boundaries
+        """
+        This function calculates the maximum square area that can be formed by removing fences from a field of size m x n.
+
+        Parameters:
+        m (int): The width of the field
+        n (int): The height of the field
+        hFences (List[int]): A list of horizontal fence positions
+        vFences (List[int]): A list of vertical fence positions
+
+        Returns:
+        int: The maximum square area that can be formed, or -1 if it is not possible
+        """
+        h = sorted([1] + hFences + [m])
+        v = sorted([1] + vFences + [n])
+
+        # possible horizontal distances
+        h_dist = set()
+        for i in range(len(h)):
+            for j in range(i + 1, len(h)):
+                h_dist.add(h[j] - h[i])
+        max_dist = 0
+        # possible vertical distance
+        for i in range(len(v)):
+            for j in range(i + 1, len(v)):
+                d = v[j] - v[i]
+                if d in h_dist:
+                    max_dist = max(d, max_dist)
+
+        MOD = 10**9 + 7
+        return -1 if max_dist == 0 else (max_dist * max_dist) % MOD