Chocolate is one of the most beloved treats on the planet. Willy claims that chocolate facilitates concentration, increases the speed of information processing and improves memory. Willy always takes a chocolate bar to the party. Willy always has a rectangular shaped chocolate bar divided into \(n \cdot m\) slices. He wants to leave for the next batch part of the chocolate bar, consisting of k lobes. Moreover, he wants to break the chocolate bar once in a straight line into two parts. Determine if Willy can break off exactly k slices from the chocolate in this way.
Input
The program receives three numbers as input:
n,
m,
k.
Imprint
The program should output one of two words:
YES or
NO.
Examples
| # |
Input |
Output |
| 1 |
4
2
6 |
YES |
| 2 |
2
10
7 |
NO |