A - Cats and Dogs

Time Limit: 2 sec / Memory Limit: 256 MB

### 問題文

この A + B 匹の中に，猫がちょうど X 匹いるということはありうるかどうか判定してください．

### 制約

• 1 \leq A \leq 100
• 1 \leq B \leq 100
• 1 \leq X \leq 200
• 入力はすべて整数

A B X

3 5 4

### 出力例 1

YES

B = 5 匹のうち，猫が 1 匹，犬が 4 匹であれば，猫の数は合計で X = 4 匹になります．

2 2 6

### 出力例 2

NO

B = 2 匹すべてが猫であっても，猫の数の合計は X = 6 匹に足りません．

5 3 2

### 出力例 3

NO

B = 3 匹すべてが犬であっても，猫の数の合計は X = 2 匹より多くなってしまいます．

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.

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.

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.

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.