Meet-in-the-Middle Search as an Alternative to Binary Partitioning

When exhaustive search becomes infeasible due to exponential state growth, splitting the problem into two halves and combining partial results can drastically cut runtime. This method explores subsets independently in each half, then merges them efficiently using sorting and binary search or lookup structures. Problem: Hockey Championshipp Tick ...

Posted on Thu, 08 Oct 2026 16:58:13 +0000 by mikkex

Transitive Closure and Bitset Optimization for Partial Order Completion

Problem Luogu P2881 Given \(n\) numbers and \(m\) relations of the form \(a > b\), determine how many additional pairwise comparisons are needed to deduce the total order of all numbers. Solution Two approaches exist: Floyd‑Warshall and topological sort. This article focuses on the latter. If no relations are given, we need to check every pa ...

Posted on Wed, 22 Jul 2026 16:44:38 +0000 by jviney