Square Earth?

2000ms

262144K

Description:

Meg the Rabbit decided to do something nice, specifically — to determine the shortest distance between two points on the surface of our planet. But Meg... what can you say, she wants everything simple. So, she already regards our planet as a two-dimensional circle. No, wait, it's even worse — as a square of side n. Thus, the task has been reduced to finding the shortest path between two dots on a square (the path should go through the square sides). To simplify the task let us consider the vertices of the square to lie at points whose coordinates are: (0, 0), (n, 0), (0, n) and (n, n).

Input:

The single line contains 5 space-separated integers: n, x₁, y₁, x₂, y₂ (1 ≤ n ≤ 1000, 0 ≤ x₁, y₁, x₂, y₂ ≤ n) which correspondingly represent a side of the square, the coordinates of the first point and the coordinates of the second point. It is guaranteed that the points lie on the sides of the square.

Output:

You must print on a single line the shortest distance between the points.

Sample Input:

2 0 0 1 0

Sample Output:

Sample Input:

2 0 1 2 1

Sample Output:

Sample Input:

100 0 0 100 100

Sample Output:

Informação

Provedor Codeforces

Código CF57A