Problem:
Score : 200 points

Problem Statement

Alice and Bob are controlling a robot. They each have one switch that controls the robot.

Alice started holding down her button A second after the start-up of the robot, and released her button B second after the start-up.

Bob started holding down his button C second after the start-up, and released his button D second after the start-up.

For how many seconds both Alice and Bob were holding down their buttons?

Constraints

0≤A<B≤100

0≤C<D≤100

All input values are integers.

Input

Input is given from Standard Input in the following format:

A B C D

Output

Print the length of the duration (in seconds) in which both Alice and Bob were holding down their buttons.

Sample Input 1

0 75 25 100

Sample Output 1

50

Alice started holding down her button 0 second after the start-up of the robot, and released her button 75 second after the start-up.

Bob started holding down his button 25 second after the start-up, and released his button 100 second after the start-up.

Therefore, the time when both of them were holding down their buttons, is the 50 seconds from 25 seconds after the start-up to 75 seconds after the start-up.

Sample Input 2

0 33 66 99

Sample Output 2

0

Alice and Bob were not holding their buttons at the same time, so the answer is zero seconds.

Sample Input 3

10 90 20 80

Sample Output 3

60

Solution in Ruby (2.3.3) (judge verdict: Wrong Answer)

class DP
  attr_accessor :value
end

def chmin(dp_object, value)
  if dp_object.value != nil
    if (dp_object.value > value)
      dp_object.value = value
      return dp_object.value
    end
    return dp_object.value
  else
    dp_object.value = value
    return dp_object.value
  end
end

def chmax(dp_object, value)
  if dp_object.value != nil
    if (dp_object.value < value)
      dp_object.value = value
      return dp_object.value
    end
    return dp_object.value
  else
    dp_object.value = value
    return dp_object.value
  end
end

def action_handler(a, b, c, d)
  start_dp = DP.new
  stop_dp = DP.new

  chmax(start_dp, a)
  chmax(start_dp, c)

  chmin(stop_dp, b)
  chmin(stop_dp, d)

result = stop_dp.value - start_dp.value
  p result
end
a, b, c, d = gets.chop.split.map(&:to_i)

action_handler(a, b, c, d)