Problem Statement

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

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.

Constraints

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

Sample Input 1

3 5 4

Sample Output 1

YES

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

Sample Input 2

2 2 6

Sample Output 2

NO

Even if all of the B = 2 animals are cats, there are less than X = 6 cats in total.

Sample Input 3

5 3 2

Sample Output 3

NO

Even if all of the B = 3 animals are dogs, there are more than X = 2 cats in total.

见题面 Input 部分

见题面 Output 部分