﻿ ABC094 A - Cats and Dogs - Atcoder

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Score : $100$ points

### 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.

### 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 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.