How to Solve Maximum White Tiles Covered by a Carpet Problem
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Maximum White Tiles Covered by a Carpet
You are given a 2D integer array tiles where tiles[i] = [li, ri] represents that every tile j in the range li <= j <= ri is colored white. You are also given an integer carpetLen, the length of a sing...
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Understanding the Maximum White Tiles Covered by a Carpet Problem
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Problem Statement
You are given a 2D integer array tiles where tiles[i] = [li, ri] represents that every tile j in the range li <= j <= ri is colored white. You are also given an integer carpetLen, the length of a single carpet that can be placed anywhere. Return the maximum number of white tiles that can be covered by the carpet.
Maximum White Tiles Covered by a Carpet
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Examples
tiles = [[1,5],[10,11],[12,18],[20,25],[30,32]], carpetLen = 10
9
Place the carpet starting on tile 10. It covers 9 white tiles, so we return 9. Note that there may be other places where the carpet covers 9 white tiles. It can be shown that the carpet cannot cover more than 9 white tiles.
tiles = [[10,11],[1,1]], carpetLen = 2
2
Place the carpet starting on tile 10. It covers 2 white tiles, so we return 2.
Constraints
1 <= tiles.length <= 5 * 104
tiles[i].length == 2
1 <= li <= ri <= 109
1 <= carpetLen <= 109
The tiles are non-overlapping.
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