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Leetcode Problem 2271. Maximum White Tiles Covered by a Carpet

2271. Maximum White Tiles Covered by a Carpet

Leetcode Solutions

Sliding Window with Prefix Sum and Binary Search

  1. Sort the tiles based on their starting positions.
  2. Create a prefix sum array to store the cumulative count of white tiles.
  3. Iterate over each tile, using its starting position as the potential starting position for the carpet.
  4. For each starting position, use binary search to find the furthest tile that the carpet can partially cover.
  5. Calculate the number of white tiles that are not covered by the carpet in the furthest tile and subtract it from the total covered tiles.
  6. Update the result with the maximum number of covered white tiles found so far.
  7. Return the result after iterating through all tiles.
UML Thumbnail

Greedy Approach with Sorting and Linear Scan

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