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 Go (1.6) (judge verdict: Wrong Answer)

package main

import (
	"bufio"
	"fmt"
	"os"
	"strconv"
)

func main() {
	fsc := NewFastScanner()
	A, B := fsc.NextInt(), fsc.NextInt()
	C, D := fsc.NextInt(), fsc.NextInt()
	res := map[int]int{}
	for i := A; i < A+B; i++ {
		res[i]++
	}
	for i := C; i < C+D; i++ {
		res[i]++
	}
	result := 0
	for _, v := range res {
		if v >= 2 {
			result++
		}
	}
	fmt.Println(result)
}

//template
type FastScanner struct {
	r   *bufio.Reader
	buf []byte
	p   int
}

func NewFastScanner() *FastScanner {
	rdr := bufio.NewReaderSize(os.Stdin, 1024)
	return &FastScanner{r: rdr}
}
func (s *FastScanner) Next() string {
	s.pre()
	start := s.p
	for ; s.p < len(s.buf); s.p++ {
		if s.buf[s.p] == ' ' {
			break
		}
	}
	result := string(s.buf[start:s.p])
	s.p++
	return result
}
func (s *FastScanner) NextLine() string {
	s.pre()
	start := s.p
	s.p = len(s.buf)
	return string(s.buf[start:])
}
func (s *FastScanner) NextInt() int {
	v, _ := strconv.Atoi(s.Next())
	return v
}
func (s *FastScanner) NextInt64() int64 {
	v, _ := strconv.ParseInt(s.Next(), 10, 64)
	return v
}

func (s *FastScanner) pre() {
	if s.p >= len(s.buf) {
		s.readLine()
		s.p = 0
	}
}
func (s *FastScanner) readLine() {
	s.buf = make([]byte, 0)
	for {
		l, p, e := s.r.ReadLine()
		if e != nil {
			panic(e)
		}
		s.buf = append(s.buf, l...)
		if !p {
			break
		}
	}
}

//Max,Min
func IntMax(a, b int) int {
	if a < b {
		return b
	}
	return a
}

func Int64Max(a, b int64) int64 {
	if a < b {
		return b
	}
	return a
}
func Float64Max(a, b float64) float64 {
	if a < b {
		return b
	}
	return a
}

func IntMin(a, b int) int {
	if a > b {
		return b
	}
	return a
}

func Int64Min(a, b int64) int64 {
	if a > b {
		return b
	}
	return a
}
func Float64Min(a, b float64) float64 {
	if a > b {
		return b
	}
	return a
}

//Gcd
func IntGcd(a, b int) int {
	if a < b {
		b, a = a, b
	}
	if b == 0 {
		return a
	}
	return IntGcd(b, a%b)
}
func Int64Gcd(a, b int64) int64 {
	if a < b {
		b, a = a, b
	}
	if b == 0 {
		return a
	}
	return Int64Gcd(b, a%b)
}

func IntAbs(a int) int {
	if a < 0 {
		a *= -1
	}
	return a
}

func Int64Abs(a int64) int64 {
	if a < 0 {
		a *= -1
	}
	return a
}