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 Python (3.4.3) (judge verdict: Wrong Answer)

N, K = map(int, input().split())
x_list = list(map(int, input().split()))

if x_list[0] >= 0:
    for i in range(N - K):
        x_list.pop(-1)
    print(max(x_list))
elif x_list[-1] <= 0:
    for i in range(N - K):
        x_list.pop(0)
    print(abs(min(x_list)))

else:
    for i in range(N-K):
        if x_list[0] >= 0:
            x_list.pop(-1)
        elif x_list[-1] <= 0:
            x_list.pop(0)
        else:
            p = abs(x_list[-1] - x_list[-2])
            n = abs(x_list[0] - x_list[1])
            if p > n:
                x_list.pop(-1)
            else:
                x_list.pop(0)
    if x_list[0] >= 0:
        print(max(x_list))
    else:
        print(x_list[-1] - x_list[0]*2)