5 posts about prefix sum by 1 contributor.
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Count the number of prefix-balanced binary strings of length 2 * n containing exactly n ones and n zeros, where every prefix has at least as many ones as zeros. This article explains the Dynamic Programming approach in Java, including the DP transition, base case, dry run, Catalan number connection, and time and space complexity.
Optimize range increment operations from O(nm) to O(n+m) using a difference array and prefix sum technique for finding the maximum element.
Efficiently count binary substrings with more 1s than 0s using prefix sums and Fenwick trees in O(N log N) time.
Learn how to efficiently determine if an array can be split into two contiguous subarrays with equal sums using the prefix sum technique. Optimal O(n) solution!
Using the Prefix Sum technique, we can efficiently solve range-based problems like finding the mean of subarrays. This approach is simple, fast, and highly scalable.
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