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: Wrong Answer)

from collections import Counter
from functools import reduce
import fractions
import math
import statistics
import sys
import time
sys.setrecursionlimit(10**7)
INF = 10 ** 18
MOD = 10 ** 9 + 7
def LI(): return [int(x) for x in sys.stdin.readline().split()]  # LIST INT
def LF(): return [float(x) for x in sys.stdin.readline().split()]  # LIST FLOAT
def LS(): return sys.stdin.readline().split()  # LIST STRING
def MI(): return map(int, sys.stdin.readline().split())  # MAP INT
def II(): return int(sys.stdin.readline())  # INPUT INT
def IS(): return input()  # INPUT STRING
def P(x): return print(x)
def C(x): return Counter(x)
def GCD_LIST(numbers):  # greatest common divisor
    return reduce(fractions.gcd, numbers)
def LCM_LIST(numbers):  # least common multiple
    return reduce(LCM, numbers)
def LCM(m, n):
    return (m * n // fractions.gcd(m, n))


a, b, x = MI()
print("YES") if a <= x <= b else print("NO")