100561: [AtCoder]ABC056 B - NarrowRectanglesEasy
Description
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