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)

arr = gets.chomp.split(' ').map(&:to_i)
b = gets.chomp.split(' ').map(&:to_i)

max = b.max
half = (max + 1) / 2
diff = []
index = 0
b.each_with_index do |val, i|
  next if val == max
  diff[i] = (half - val).abs
  index = diff[index] > diff[i] ? i : index
end
puts "#{max} #{b[index]}"