Competitions

# Week 2 Conditionals Part 1

# Divisibility by numbers

Given positive integer n. Is is divisible simultaneously by a and by b?

## Input data

Three positive integers n, a, b, not greater than `10^9`

.

## Output data

Print "YES" if n is divisible simultaneously by a and by b. Print "NO" otherwise.

## Examples

Input example #1

12 4 6

Output example #1

YES

Input example #2

10 5 6

Output example #2

NO