Problem:
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.

Solution in Python (3.4.3) (judge verdict: Accepted)

a, b, x = map(int, input().split())

# 猫の絶対数 => a
# 犬の絶対数 => d = b-x
# いてほしい猫の数 => x
# 不明な犬猫の数 => b-a

# いるべき総数よりも猫が多い　またはいてほしい猫の数よりも現在の猫の数のほうが多い
if a+b < x or x-a < 0:
  print('NO')
else:
  print('YES')