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.

-----Constraints-----
- $1 \leq A \leq 100$
- $1 \leq B \leq 100$
- $1 \leq X \leq 200$
- All values in input are integers.

-----Input-----
Input is given from Standard Input in the following format:
A B X

-----Output-----
If it is possible that there are exactly X cats, print YES; if it is impossible, print NO.

-----Sample Input-----
3 5 4

-----Sample Output-----
YES

If there are one cat and four dogs among the B = 5 animals, there are X = 4 cats in total.

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