

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=[int(x) for x in input().split()]
a=[]
while n:
    a.append(n%m)
    n=n//m
if len(a)==len(set(a)):
    print("YES")
else:
    print("NO")