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Count Substrings with More 1's than 0's

A walkthrough of an O(N log N) algorithm to count binary string substrings with more 1s than 0s. The approach converts the problem by mapping 1→+1 and 0→-1, then uses prefix sums so that a valid substring corresponds to a pair where the later prefix sum exceeds the earlier one. Coordinate compression reduces the prefix sum range, and a Fenwick Tree efficiently counts how many previously seen prefix sums are smaller than the current one in O(log N) per query. A dry run, complexity table, and Java implementation are included.

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#java #algorithms

Nguồn: https://www.csharp.com/article/count-substrings-with-more-1s-than-0s. 8sync News chỉ tóm tắt và dẫn link; bản quyền nội dung thuộc tác giả và nguồn gốc.