

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
if len(a) != len(set(a)):
	print("NO")
else:
	print("YES")

