

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



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


p=set()

while n:
    if n%m in p:
        print('NO')
        break
    else:
        p.add(n%m)
    n//=m
else:
    print('YES')