You are given 2 numbers (N , M); the task is to find N√M (Nth root of M).
The first line of input contains an integer T denoting the number of test cases. Then T test cases follow. Each test case contains two space separated integers N and M.
For each test case, in a new line, print an integer denoting Nth root of M if the root is an integer else print -1.
1 <= T <= 200
2 <= N <= 20
1 <= M <= 109+5