Score : 300 points
There are N integers a_1, a_2, ..., a_N not less than 1. The values of a_1, a_2, ..., a_N are not known, but it is known that a_1 \times a_2 \times ... \times a_N = P.
Find the maximum possible greatest common divisor of a_1, a_2, ..., a_N.
Input is given from Standard Input in the following format:
N P
Print the answer.
3 24
2
The greatest common divisor would be 2 when, for example, a_1=2, a_2=6 and a_3=2.
5 1
1
As a_i are positive integers, the only possible case is a_1 = a_2 = a_3 = a_4 = a_5 = 1.
1 111
111
4 972439611840
206