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++ (GCC 9.2.1) (judge verdict: Wrong Answer)

#include<bits/stdc++.h>
using namespace std;
using ll = long long;
#define itn int
#define rep(i,n) for(int i = 0;i < n;i++)

int main(void){
    int n,k;
    cin >> n >> k;
    ll a[n],b[n];
    rep(i,n){
        cin >> a[i];
        b[i] = a[i];
    }
    
    for(int i = 1;i < n;i++){
        a[i] = abs(a[i]-a[0]);
    }
    a[0] = 0;
    
    vector<ll> v(n+2,0);
    v[0] = abs(a[0]);
    for(int i = 0;i < n-1;i++){
        v[i+1] = v[i] + abs(a[i+1]-a[i]);
        //cout << v[i+1] << endl;
    }
    
    ll ans = abs(v[k-1]) + min(abs(a[k-1]),abs(a[0]));
    for(int i = k;i < n;i++){
        ans = min(ans,abs(v[i]-v[i-k])+min(abs(a[i-k]),abs(a[i])));
    }
    cout << ans << endl;
}