Divisibility by k

Source: Phước Hưng OJ

Problem Statement

Given integers $n$ and nonzero $k$, determine whether $n$ is divisible by $k$.

Input

One line contains $n$ and $k$.

Output

Print YES if nmod k=0; otherwise print NO.

Subtasks

• Subtask 1 (100%): $-10^9 \le n \le 10^9$; $-10^9 \le k \le 10^9$; $k e0$

Examples

Example 1

Input

18 6

Output

YES

Explanation

For the sample values 18, 6, evaluating the conditions in the statement gives YES. Therefore the program prints the shown output.

Example 2

Input

20 6

Output

NO

Explanation

For the sample values 20, 6, evaluating the conditions in the statement gives NO. Therefore the program prints the shown output.