Codeforces Round #416 (Div. 2) has been moved to start on 27.05.2017 09:35 (UTC).
×

Virtual contest is a way to take part in past contest, as close as possible to participation on time. It is supported only ACM-ICPC mode for virtual contests.
If you've seen these problems, a virtual contest is not for you - solve these problems in the archive.
If you just want to solve some problem from a contest, a virtual contest is not for you - solve this problem in the archive.
Never use someone else's code, read the tutorials or communicate with other person during a virtual contest.

No tag edit access

B. Checkpoints

time limit per test

1 secondmemory limit per test

256 megabytesinput

standard inputoutput

standard outputVasya takes part in the orienteering competition. There are *n* checkpoints located along the line at coordinates *x*_{1}, *x*_{2}, ..., *x*_{n}. Vasya starts at the point with coordinate *a*. His goal is to visit at least *n* - 1 checkpoint in order to finish the competition. Participant are allowed to visit checkpoints in arbitrary order.

Vasya wants to pick such checkpoints and the order of visiting them that the total distance travelled is minimized. He asks you to calculate this minimum possible value.

Input

The first line of the input contains two integers *n* and *a* (1 ≤ *n* ≤ 100 000, - 1 000 000 ≤ *a* ≤ 1 000 000) — the number of checkpoints and Vasya's starting position respectively.

The second line contains *n* integers *x*_{1}, *x*_{2}, ..., *x*_{n} ( - 1 000 000 ≤ *x*_{i} ≤ 1 000 000) — coordinates of the checkpoints.

Output

Print one integer — the minimum distance Vasya has to travel in order to visit at least *n* - 1 checkpoint.

Examples

Input

3 10

1 7 12

Output

7

Input

2 0

11 -10

Output

10

Input

5 0

0 0 1000 0 0

Output

0

Note

In the first sample Vasya has to visit at least two checkpoints. The optimal way to achieve this is the walk to the third checkpoints (distance is 12 - 10 = 2) and then proceed to the second one (distance is 12 - 7 = 5). The total distance is equal to 2 + 5 = 7.

In the second sample it's enough to visit only one checkpoint so Vasya should just walk to the point - 10.

Codeforces (c) Copyright 2010-2017 Mike Mirzayanov

The only programming contests Web 2.0 platform

Server time: May/27/2017 03:30:55 (p1).

Desktop version, switch to mobile version.
User lists

Name |
---|