

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