Distinct Subsequences

Given two sequences A, B, count number of unique ways in sequence A, to form a subsequence that is identical to the sequence B.

Subsequence : A subsequence of a string is a new string which is formed from the original string by deleting some (can be none) of the characters without disturbing the relative positions of the remaining characters. (ie, “ACE” is a subsequence of “ABCDE” while “AEC” is not).

Input Format:

The first argument of input contains a string, A.
The second argument of input contains a string, B.

Output Format:

Return an integer representing the answer as described in the problem statement.

Constraints:

1 <= length(A), length(B) <= 700

Example :

Input 1:
    A = "abc"
    B = "abc"
    
Output 1:
    1

Explanation 1:
    Both the strings are equal.

Input 2:
    A = "rabbbit" 
    B = "rabbit"

Output 2:
    3

Explanation 2:
    These are the possible removals of characters:
        => A = "ra_bbit" 
        => A = "rab_bit" 
        => A = "rabb_it"
        
    Note: "_" marks the removed character.

NOTE: You only need to implement the given function. Do not read input, instead use the arguments to the function. Do not print the output, instead return values as specified. Still have a question? Checkout Sample Codes for more details.