DSUBSEQ - Distinct Subsequences


Given a string, count the number of distinct subsequences of it ( including empty subsequence ). For the uninformed, A subsequence of a string is a new string which is formed from the original string by deleting some of the characters without disturbing the relative positions of the remaining characters.
For example, "AGH" is a subsequence of "ABCDEFGH" while "AHG" is not.

Input

First line of input contains an integer T which is equal to the number of test cases. You are required to process all test cases. Each of next T lines contains a string s.

Output

Output consists of T lines. Ith line in the output corresponds to the number of distinct subsequences of ith input string. Since, this number could be very large, you need to output ans%1000000007 where ans is the number of distinct subsequences.

Example

Input:
3
AAA
ABCDEFG
CODECRAFT


Output:
4
128
496

Constraints and Limits

T ≤ 100, length(S) ≤ 100000
All input strings shall contain only uppercase letters.


hide comments
somz22: 2019-05-31 14:40:40

Try to do it in O(n), not O(26*n) it's possible just make dp relation properly.

aj_254: 2019-05-06 11:17:37

solvable in python play ez .not much optimization required just use dp and standard input output

f00zz: 2019-04-30 12:24:11

@deepak097 thanks for spoiling the problem :(

deepak097: 2019-03-28 06:37:58

Got AC :) complexity- O(n*26)

abhinav_jain02: 2019-01-05 19:47:50

Very very Good DP Question with interesting optimization. It took a lot of time to crack this.

horizon121: 2018-05-17 12:52:39

Nice problem!!

chutuanthong: 2017-12-20 11:32:09

dynamic programing easy

kmkhan_014: 2017-12-11 16:30:59

Last edit: 2019-06-26 21:32:13
javafreak: 2017-10-28 23:37:16

Yes, it is important to add 'mod' wherever the answer can be negative. GeeksforGeeks tutorial might be helpful.

raghav_chawla7: 2017-09-25 09:27:12

take care of mod.Cost me 1WA


Added by:Ajay Somani
Date:2008-02-05
Time limit:0.245s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: CPP
Resource:CodeCraft 08, Problem Setter: Jin Bin