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.
Added by:  Ajay Somani 
Date:  20080205 
Time limit:  0.245s 
Source limit:  50000B 
Memory limit:  1536MB 
Cluster:  Cube (Intel Pentium G860 3GHz) 
Languages:  All except: C++ 4.9 SCM chicken 
Resource:  CodeCraft 08, Problem Setter: Jin Bin 
hide comments
ISHANI:
20150225 15:07:02
not so simple as i thought.. 

Swapnil Borse:
20141229 14:24:06
was fun solving this problem :) 

rajat arora:
20141217 15:56:17
great question to test knowledge abt modulus 

numerix:
20141127 07:39:28
New time limit (set during switch to Cube cluster) is too strict for slower languages. My former Python AC solution (using psyco) cannot pass any more.


tranquil:
20140523 17:01:45
getting WA#1 :(


P_Quantum:
20140523 10:36:06
Finally AC...don't use long long. 

Nadbor Drozd:
20140122 11:31:06
linear time and still time limit exceeded. Tried switching from python to java and c++, but couldn't get them even past compilation on with these ancient versions of the language. I give up 

Savan Popat:
20140108 14:49:35
anybody please explain for which case answer will be negative. 

Ankit Jain:
20140102 09:44:27
ok..so after reading the previous comments...googled a bit about modulus...modified the solution...got ac.....but still unable to understand as to which test case gives us a negative value of dp[] because of which all this trouble is occuring...thanks in advance to anybody willing to explain this weird bahviour... 

Rishabh Saxena:
20131217 23:58:11
for those getting Wrong Answer #1.....they should look into the fact that they can get negative answer!!
