p03377 AtCoder Beginner Contest 094 - 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
```python
a,b,x=map(int,input().split())
print("YES" if a+b-x>=0 and x>=a else "NO")
```