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班服 状态压缩DP

题目描述:

要开运动会了,神犇学校的n个班级要选班服,班服共有100种样式,编号1~100。现在每个班都挑出了一些样式待选,每个班最多有100个待选的样式。要求每个班最终选定一种样式作为班服,且该班的样式不能与其他班级的相同,求所有可能方案的总数,由于方案总数可能很大,所以要求输出mod 1000000007后的答案。

输入描述:

共有T组数据。

对于每组数据,第一行为一个整数n,表示有n个班级。

2~n+1行,每行有最多100个数字,表示第i-1班待选班服的编号。

输出描述:

对于每组数据,输出方案总数 mod 1000000007后的答案。

样例输入:

2

2

3 5

8 100

3

5 100 1

2

5 100

样例输出:

4

4

数据范围:

对于30%的数据,1<=T<=3, 1<=n<=3,每班待选样式不超过10种。

对于50%的数据,1<=T<=5, 1<=n<=5,每班待选样式不超过50种。

对于100%的数据,1<=T<=10, 1<=n<=10,每班待选样式不超过100种。

分析:

如果注意到n\leq10 应该发现这是道状态压缩题.

考试的时候一直当成计数题做.然而想多了.

其实就是将班级状态压缩.然后根据校服来进行转移.

 

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