Given an unsorted array A of size N of non-negative integers, find a continuous sub-array which adds to a given number S.

Input:
The first line of input contains an integer T denoting the number of test cases. Then T test cases follow. Each test case consists of two lines. The first line of each test case is N and S, where N is the size of array and S is the sum. The second line of each test case contains N space separated integers denoting the array elements.

Output:
For each testcase, in a new line, print the starting and ending positions(1 indexing) of first such occuring subarray from the left if sum equals to subarray, else print -1.

Constraints:
1 <= T <= 100
1 <= N <= 10^{7}
1 <= A_{i} <= 10^{10}