

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:
    n, r = divmod(n, m)
    a.append(r)
print(["NO", "YES"][len(set(a)) == len(a)])    