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 NO
.
3 5 4
YES
If there are one cat and four dogs among the B = 5 animals, there are X = 4 cats in total.
2 2 6
NO
Even if all of the B = 2 animals are cats, there are less than X = 6 cats in total.
5 3 2
NO
Even if all of the B = 3 animals are dogs, there are more than X = 2 cats in total.