Score : $100$ points
There are a total of $A + B$ cats and dogs. Among them, $A$ are known to be cats, but the remaining $B$ are not known to be either cats or dogs.
Determine if it is possible that there are exactly $X$ cats among these $A + B$ animals.
Input is given from Standard Input in the following format:
$A$ $B$ $X$
If it is possible that there are exactly $X$ cats, print
YES; if it is impossible, print
3 5 4
If there are one cat and four dogs among the $B = 5$ animals, there are $X = 4$ cats in total.
2 2 6
Even if all of the $B = 2$ animals are cats, there are less than $X = 6$ cats in total.
5 3 2
Even if all of the $B = 3$ animals are dogs, there are more than $X = 2$ cats in total.