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#5758. 数字集合

الإحصائيات

你从一个连续整数序列开始,想要将它们分组到不同的集合中。

给定一个区间 $[A, B]$ 和一个整数 $P$。最初,区间中的每个数字都各自属于一个集合。

接着,考虑区间内的每一对整数。如果这两个整数共享一个至少为 $P$ 的质因数,则将这两个整数所属的集合合并。

请问在这一过程结束时,总共有多少个不同的集合?

样例

输入格式 1

2
10 20 5
10 20 3

输出格式 1

Case #1: 9
Case #2: 7

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