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 C++14 (GCC 5.4.1) (judge verdict: Accepted)

#include <iostream>
#include <vector>
#include <stack>
#include <algorithm>
#include <numeric>
#include <unordered_map>
#include <cmath>
#include <iomanip>

using namespace std;
int answer=std::numeric_limits<int>::max();
int N, K;

int main() {
    cin >> N >> K;
    vector<int> X(N);
    for(int i=0; i<N; i++){
        cin >> X[i];
    }

    for(int i=0; i<=N-K; i++){
        int l2r = abs(X[i]) + abs(X[i]-X[i+K-1]);
        int r2l = abs(X[i+K-1]) + abs(X[i]-X[i+K-1]);
        answer = min(answer, min(l2r, r2l));
    }

    cout<<answer<<endl;
    return 0;
}