该博客讨论了一道编程竞赛题目，涉及寻找整数数组中最大质数集合的并集，要求不超过特定数量的集合。解题策略是将数组按奇偶性分为两部分，构建二分图并求最大匹配。通过二分搜索确定1的数量，并处理剩余的1，以找到最大并集大小。
Given an array of integers , we say a set is a prime set of the given array, if and is prime.
BaoBao has just found an array of integers in his pocket. He would like to select at most prime set of that array to maximize the size of the union of the selected sets. That is to say, to maximize
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