Leetcode #2943: Maximize Area of Square Hole in Grid
In this guide, we solve Leetcode #2943 Maximize Area of Square Hole in Grid in Python and focus on the core idea that makes the solution efficient.
You will see the intuition, the step-by-step method, and a clean Python implementation you can use in interviews.
Problem Statement
You are given the two integers, n and m and two integer arrays, hBars and vBars. The grid has n + 2 horizontal and m + 2 vertical bars, creating 1 x 1 unit cells.
Quick Facts
- Difficulty: Medium
- Premium: No
- Tags: Array, Sorting
Intuition
Sorting reveals structure that is hard to see in the original order.
Once sorted, a linear scan is usually enough to compute the answer.
Approach
Sort the data and sweep through it while maintaining a small state.
This keeps the logic straightforward and reliable.
Steps:
- Sort the data.
- Scan in order while maintaining state.
- Update the best answer.
Python Solution
class Solution:
def maximizeSquareHoleArea(
self, n: int, m: int, hBars: List[int], vBars: List[int]
) -> int:
def f(nums: List[int]) -> int:
nums.sort()
ans = cnt = 1
for i in range(1, len(nums)):
if nums[i] == nums[i - 1] + 1:
cnt += 1
ans = max(ans, cnt)
else:
cnt = 1
return ans + 1
return min(f(hBars), f(vBars)) ** 2
Complexity
The time complexity is , and the space complexity is , where is the length of the array or . The space complexity is , where is the length of the array or .
Edge Cases and Pitfalls
Watch for boundary values, empty inputs, and duplicate values where applicable. If the problem involves ordering or constraints, confirm the invariant is preserved at every step.
Summary
This Python solution focuses on the essential structure of the problem and keeps the implementation interview-friendly while meeting the constraints.