Cats and Dogs

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.

Examples

Input

3 5 4

Output

YES

Input

2 2 6

Output

NO

Input

5 3 2

Output

NO

inputFormat

input are integers.

Input

Input is given from Standard Input in the following format:

A B X

outputFormat

Output

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

Examples

Input

3 5 4

Output

YES

Input

2 2 6

Output

NO

Input

5 3 2

Output

NO

样例

2 2 6

NO