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

** For More Input/Output Examples Use 'Expected Output' option **