How to Solve Count Covered Buildings Problem
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Count Covered Buildings
You are given a positive integer n, representing an n x n city. You are also given a 2D grid buildings, where buildings[i] = [x, y] denotes a unique building located at coordinates [x, y]. A building ...
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Understanding the Count Covered Buildings Problem
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Problem Statement
You are given a positive integer n, representing an n x n city. You are also given a 2D grid buildings, where buildings[i] = [x, y] denotes a unique building located at coordinates [x, y]. A building is covered if there is at least one building in all four directions: left, right, above, and below. Return the number of covered buildings.
Count Covered Buildings
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Examples
n = 3, buildings = [[1,2],[2,2],[3,2],[2,1],[2,3]]
1
Only building [2,2] is covered as it has at least one building: above ([1,2]) below ([3,2]) left ([2,1]) right ([2,3]) Thus, the count of covered buildings is 1.
n = 3, buildings = [[1,1],[1,2],[2,1],[2,2]]
0
No building has at least one building in all four directions.
n = 5, buildings = [[1,3],[3,2],[3,3],[3,5],[5,3]]
1
Only building [3,3] is covered as it has at least one building: above ([1,3]) below ([5,3]) left ([3,2]) right ([3,5]) Thus, the count of covered buildings is 1.
Constraints
2 <= n <= 105
1 <= buildings.length <= 105
buildings[i] = [x, y]
1 <= x, y <= n
All coordinates of buildings are unique.
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