Given a set of m distinct positive integers and a value ‘N’. The problem is to count the total number of ways we can form ‘N’ by doing sum of the array elements. Repetitions and different arrangements are allowed.
Input:
The first line of input contains an integer T denoting the number of test cases. Then T test cases follow. The first line of each test case contains M and N where M denotes the size of the array and we have to find the answer for the number N.
The second line of each test case contains M space separated integers denoting elements of the array A[ ].
Output:
Print the answer for each test case in a new line. Since the answer can be quite large output the answer modulo 109+7.
Constraints:
1<= M <=1000
1<= N <=1000
1<= A[ ] <=1000
Example:
Input:
1
3 7
1 5 6
Output:
6
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