Ada is configuring the gears of the Analytical Engine. She has exactly 3 gears, each with a specific number of teeth. The engine will only run smoothly if the sum of the teeth on all gears is an even number.

You are given three integers representing the number of teeth on each gear. Determine if the sum of the gears is even or not.

Input Format

The first and only line contains three space-separated integers A, B, C, representing the number of teeth on the first, second, and third gear respectively.

Output Format

Print YES if the sum is even, and NO otherwise.

The checker is case-insensitive.

Example

Input

1 2 3

Output

YES