

Input

The input contains two integers N, M (1 ≤ N ≤ 1024, 2 ≤ M ≤ 16), separated by a single space.

Output

Output "YES" or "NO".

Examples

Input


2 3


Output


YES


Input


3 2


Output


NO


Input


33 16


Output


YES


Input


26 5


Output


NO
# coding: utf-8

n, m = map(int, input().split())
a = list()

while n:
  a.append(n % m)
  n //= m
  
print('YES') if len(a) == len(set(a)) else print('NO')