Jack can jump in two different ways. He can jump 1 step forward and ~l~ steps left, or he can jump 1 step forward and ~r~ steps right. He wants to end up ~m~ steps directly infront of where he started. Is this possible?

Input

The first line contains three integers, ~l~, ~r~ and ~m~.

Output

Output a line containing Yes or No, stating whether it is possible for Jack to end up exactly ~m~ steps forward.

Constraints

• ~1 \le l,r,m \le 1000~

Example 1

Input

2 3 5

Output

Yes

Example 2

Input

2 3 6

Output

No