

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