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 C# (Mono 4.6.2.0) (judge verdict: Accepted)

using System;

class NREasy
{
	static public void Main(string[] args)
	{
		int W,a,b;
		string[] vals = Console.ReadLine().Split(' ');
		W = int.Parse(vals[0]);
		a = int.Parse(vals[1]);
		b = int.Parse(vals[2]);

		int aR = a + W;
		int bR = b + W;

		if(aR >= b && a <= bR)
		{
			Console.WriteLine(0);
		}
		else if(aR < b)
		{
			Console.WriteLine(b-aR);
		}
		else
		{
			Console.WriteLine(a-bR);
		}

	}
}