Problem:
Score : 300 points

Problem Statement

There are N candles placed on a number line.
The i-th candle from the left is placed on coordinate x_i.
Here, x_1 < x_2 < ... < x_N holds.

Initially, no candles are burning.
Snuke decides to light K of the N candles.

Now, he is at coordinate 0.
He can move left and right along the line with speed 1.
He can also light a candle when he is at the same position as the candle, in negligible time.

Find the minimum time required to light K candles.

Constraints

1 \leq N \leq 10^5

1 \leq K \leq N

x_i is an integer.

|x_i| \leq 10^8

x_1 < x_2 < ... < x_N

Input

Input is given from Standard Input in the following format:

N K
x_1 x_2 ... x_N

Output

Print the minimum time required to light K candles.

Sample Input 1

5 3
-30 -10 10 20 50

Sample Output 1

40

He should move and light candles as follows:

Move from coordinate 0 to -10.

Light the second candle from the left.

Move from coordinate -10 to 10.

Light the third candle from the left.

Move from coordinate 10 to 20.

Light the fourth candle from the left.

Sample Input 2

3 2
10 20 30

Sample Output 2

20

Sample Input 3

1 1
0

Sample Output 3

0

There may be a candle placed at coordinate 0.

Sample Input 4

8 5
-9 -7 -4 -3 1 2 3 4

Sample Output 4

10

Solution in JavaScript (node.js v5.12) (judge verdict: Wrong Answer)

// 与えられたXの部分配列を用意、距離の値を算出
//それだと
// 最大でN^2になるナ10^2^5=10^10で確実に死ぬ
//k*(n-k)でkはn以下という制約があるので死ぬとは限らんな

function get_run_length(xs){
  const max = xs[xs.length-1];
  const min=xs[0]
  var result = 0;

  if(max > min*-1){
    result = min*-2 + max;
  }else{
    result = min*-1 + max*2;
  }

  if(min>=0){result = max;}
  if(max<=0){result = min*-1;}

  return result;
}

function main(input){
  const lines = input.split('\n');
  const N = parseInt(lines[0].split(' ')[0]);
  const K = parseInt(lines[0].split(' ')[1]);
  const Xs = lines[1].split(' ').map(x => parseInt(x))

  var result = 1000000;
  for(var i=0;i<N-K+1;i++){
    var part_xs = Xs.slice(i,i+K)
   var tmp = get_run_length(part_xs);
    result = Math.min(tmp, result);
//    console.log([i,result]);
  }

  if(result==0){result=0;}
  console.log(result);
}


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