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单词 Partition problem
释义

Partition problem

英语百科

Partition problem

Dependencies of table entry (i, j)
Result of example execution of algorithm on the table P

In computer science, the partition problem (or number partitioning) is the task of deciding whether a given multiset S of positive integers can be partitioned into two subsets S1 and S2 such that the sum of the numbers in S1 equals the sum of the numbers in S2. Although the partition problem is NP-complete, there is a pseudo-polynomial time dynamic programming solution, and there are heuristics that solve the problem in many instances, either optimally or approximately. For this reason, it has been called "the easiest NP-hard problem".

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更新时间:2025/6/18 22:03:23