

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
import sys

n, m = map(int, input().split())
seen = set()
  
while n > 0:
    d = n % m
    if d in seen:
        print("NO")
        sys.exit(0)
    seen.add(d)
    n //= m

print("YES")
