Problem:
Score : 200 points

Problem Statement

AtCoDeer the deer found two rectangles lying on the table, each with height 1 and width W.
If we consider the surface of the desk as a two-dimensional plane, the first rectangle covers the vertical range of [0,1] and the horizontal range of [a,a+W], and the second rectangle covers the vertical range of [1,2] and the horizontal range of [b,b+W], as shown in the following figure:

AtCoDeer will move the second rectangle horizontally so that it connects with the first rectangle.
Find the minimum distance it needs to be moved.

Constraints

All input values are integers.

1≤W≤10^5

1≤a,b≤10^5

Input

The input is given from Standard Input in the following format:

W a b

Output

Print the minimum distance the second rectangle needs to be moved.

Sample Input 1

3 2 6

Sample Output 1

1

This input corresponds to the figure in the statement. In this case, the second rectangle should be moved to the left by a distance of 1.

Sample Input 2

3 1 3

Sample Output 2

0

The rectangles are already connected, and thus no move is needed.

Sample Input 3

5 10 1

Sample Output 3

4

Solution in Rust (1.15.1) (judge verdict: Accepted)

use std::io;

fn main(){
    let stdin = io::stdin();
    let mut buf = String::new();
    stdin
        .read_line(&mut buf)
        .unwrap();
    let v: Vec<i64> = buf.split_whitespace()
        .map(|n| n.parse().unwrap())
        .collect();

    let ans = if v[2] + v[0] < v[1] {
        v[1] - (v[2] + v[0])
    } else if v[2] > v[1] + v[0] {
        v[2] - (v[1] + v[0])
    } else {
        0
    };

    println!("{:?}", ans);
}