Software Engineer

You are given an array of strings 'ARRSTR[]' of size 'N' and a character 'C'. Your task is to sort the 'ARRSTR[]' according to the new alphabetical order that starts with the given character 'C'.

Note:

1) The character ‘C’ is a lowercase English alphabet that is given as input.
2) For example, if the character is 'C' is "d" then, the alphabetical order starts with "d" will look like {d,e,f,....,y,z,a,b,c}.
3) Every string in the array consists of only lowercase English alphabets.

Given an array of non-negative integers ‘A’ and an integer ‘P’, find the total number of subsequences of ‘A’ such that the product of any subsequence should not be more than ‘P’.

A subsequence is a sequence that can be derived from another sequence by deleting some or no elements without changing the order of the remaining elements.

Note

You need to print your answer modulo 10^9 + 7.

For Example

Let us take  A = [1,2,3] and P = 4. 
All the subsequences not having product more than ‘4’ are {1}, {2}, {3}, {1,2}, {1,3}. Therefore count is equal to ‘5’.