Nth Root of a Number Using Binary Search
Given N and M, find the Nth root of M using binary search, or determine it does not exist as an integer.
Input format
A single line with N and M (N ≥ 1, M ≥ 1).
Output format
Print the integer Nth root of M if it is exact (r with r^N = M), otherwise -1.
Constraints
- Values fit in a 64-bit signed integer
- Trailing whitespace and a trailing newline are ignored by the judge
Read from stdin, write to stdout. Sample cases below show the exact format.
Sample cases
Example 1
Input
3 27Expected output
3Example 2
Input
4 69Expected output
-1