Problem:
Score : 100 points

Problem Statement

There are three houses on a number line: House 1, 2 and 3, with coordinates A, B and C, respectively.
Print Yes if we pass the coordinate of House 3 on the straight way from House 1 to House 2 without making a detour, and print No otherwise.

Constraints

0\leq A,B,C\leq 100

A, B and C are distinct integers.

Input

Input is given from Standard Input in the following format:

A B C

Output

Print Yes if we pass the coordinate of House 3 on the straight way from House 1 to House 2 without making a detour, and print No otherwise.

Sample Input 1

3 8 5

Sample Output 1

Yes

We pass the coordinate 5 on the straight way from the house at coordinate 3 to the house at coordinate 8.

Sample Input 2

7 3 1

Sample Output 2

No

Sample Input 3

10 2 4

Sample Output 3

Yes

Sample Input 4

31 41 59

Sample Output 4

No

Solution in Ruby (2.3.3) (judge verdict: Runtime Error)

WHITE = '.'
BLACK = '#'
 
TOGGLE = {
    WHITE => BLACK,
    BLACK => WHITE
}
 
def finish?(str)
  str.match(/\A[#{WHITE}]*[#{BLACK}]*\z/)
end
 
def toggle(str, index)
  tmp = str.dup
  tmp[index] = TOGGLE[str[index]]
  tmp
end
 
def solve(str, t)
  queue = [[S, 0]]
 
  while !queue.empty?
    st, ti = queue.shift
 
    if finish? st
      return ti
    end
 
    N.times do |i|
      queue.push [toggle(st, i), ti + 1]
    end
  end
end
 
N = gets.chomp.to_i
S = gets.chomp
 
puts solve(S, 0)