hiho 编程之美2015初赛第一场(质数相关-2分图匹配)

两个数a和 b (a<b)被称为质数相关，是指a × p = b，这里p是一个质数。一个集合S被称为质数相关，是指S中存在两个质数相关的数，否则称S为质数无关。如{2, 8, 17}质数无关，但{2, 8, 16}, {3, 6}质数相关。现在给定一个集合S，问S的所有质数无关子集中，最大的子集的大小。

输入

第一行为一个数T，为数据组数。之后每组数据包含两行。

第一行为N，为集合S的大小。第二行为N个整数，表示集合内的数。

输出

对于每组数据输出一行，形如"Case #X: Y"。X为数据编号，从1开始，Y为最大的子集的大小。

数据范围

1 ≤ T ≤ 20

集合S内的数两两不同且范围在1到500000之间。

小数据

1 ≤ N ≤ 15

大数据

1 ≤ N ≤ 1000

样例输入

3
5
2 4 8 16 32
5
2 3 4 6 9
3
1 2 3

样例输出

Case #1: 3
Case #2: 3
Case #3: 2

Emacs Normal Vim

按元素分解后质数个数分成2份，二分图匹配，

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