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 JavaScript (node.js v5.12) (judge verdict: Accepted)

'use strict'

function main(s) {

  s = s.split('\n')[0].split(' ').map(n => Number(n));

  const w = s[0];
  const a = s[1];
  const b = s[2];

  let ans = 0;

  if ((b + w) < a) ans = a - (b + w);
  if (b > (a + w)) ans = b - (a + w);

  console.log(ans);
}

main(require("fs").readFileSync("/dev/stdin", "utf8"));