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 Ruby (2.3.3) (judge verdict: Runtime Error)

nmx = gets.chomp!.split(' ')
n = nmx[0].to_i
m = nmx[1].to_i
x  =  nmx[2].to_i
 
ai = gets.chomp!.split(' ')
 
cost1 = 0
cost2 = 0
 
for gate in ai
  if gate.to_i < x
    cost1 = cost1+ 1
   else
    cost2 = cost2+1
  end
end
if cost1 < cost2
  puts cost1
else
  puts cost2
end