Marble exchanges P24544

0.65 Edgar has a collection of red, blue and yellow marbles. As many times as he wishes, he can only make one operation: exchanging two marbles of different colours (one of each colour) for one of the remaining colour. Given $(R, B, Y)$ (the number of marbles of each colour), can you determine whether Edgar will be capable of keeping just one of the marbles?

For instance, from $(1, 1, 2)$ he can move to $(2, 0, 1)$, from there to $(1, 1, 0)$, and from there to $(0, 0, 1)$. By contrast, it is not difficult to see that from $(1, 1, 3)$ he cannot reach any of $(1, 0, 0)$, $(0, 1, 0)$ or $(0, 0, 1)$.

0.33

Input

Input consists of several cases, each one with three integers $R$, $B$ and $Y$, all of them between 0 and $10^9$. Assume $R + B + Y > 0$.

Output

For every case, print “YES” if Edgar can achieve a situation where $R' + B' + Y' = 1$, and print “NO” otherwise. Obviously, none of the three variables can go below zero at any moment.