#K62652. Power of X Checker

    ID: 31579 Type: Default 1000ms 256MiB

Power of X Checker

Power of X Checker

Given two integers N and X, determine whether N is a power of X. In other words, check if there exists a non-negative integer \(k\) such that \(N = X^k\). You should output True if such an integer exists, and False otherwise.

For example, if \(N = 16\) and \(X = 2\), then \(16 = 2^4\), so the output is True.

inputFormat

The input consists of a single line containing two space-separated integers: N and X.

outputFormat

Output a single line containing either True or False based on whether N is a power of X.

## sample
16 2
True