算法题 - UVA 10069 Distinct Subsequences（dp + 高精度）

算法题 - UVA 10069 Distinct Subsequences（dp + 高精度）2014-04-12A subsequence of a given sequence is just the given sequence with some elements （possibly none） left out. Formally, given a sequence X =x₁x₂…x_m, another sequence Z = z₁z₂…z_k is a subsequence of X if there exists a strictly increasing sequence <i₁, i₂, …, i_k> of indices of Xsuch that for all j = 1, 2, …, k, we have x_i_j = z_j. For example, Z = bcdb is a subsequence of X = abcbdab with corresponding index sequence< 2, 3, 5, 7 >.

In this problem your job is to write a program that counts the number of occurrences of Z in X as a subsequence such that each has a distinct index sequence.

Input

The first line of the input contains an integer N indicating the number of test cases to follow.

The first line of each test case contains a string X, composed entirely of lowercase alphabetic characters and having length no greater than 10,000. The second line contains another string Z having length no greater than 100 and also composed of only lowercase alphabetic characters. Be assured that neither Z nor any prefix or suffix of Z will have more than 10¹⁰⁰ distinct occurrences in X as a subsequence.

Output

For each test case in the input output the number of distinct occurrences of Z in X as a subsequence. Output for each input set must be on a separate line.

Sample Input

babgbag<

bag<

rabbbit<

rabbit

Sample Output