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 12.16.1) (judge verdict: Accepted)

console.log((args=>{
  const [[N,k],x] = args.trim().split`\n`.map(r=>r.split` `.map(v=>v|0));
  const K = k-1;
  let min = Infinity;
  for ( let i = 0; i+K < N; i++ ) {
    if ( x[i] < 0 && 0 < x[i+K] ) {
      min = Math.min( min, x[i+K] - x[i] + Math.min(x[i+K],-x[i]) );
    } else if ( x[i] >= 0 ) min = Math.min( min, x[i+K] );
    else if ( x[i+K] <= 0 ) min = Math.min( min, -x[i] );
  }
  return `${min}`;
})(require('fs').readFileSync('/dev/stdin', 'utf8')));