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**Task** | Statistics

Time limit: | 1.00 s | Memory limit: | 512 MB |

You are given an array of $n$ integers. Your task is to calculate for each window of $k$ elements, from left to right, the minimum total cost of making each element the same.

You can increase or decrease each element, and the cost is $x$ where $x$ is the difference between the new and original value. The total cost is the sum of such costs.

The first input line contains two integers $n$ and $k$: the number of elements and the size of the window.

Then there are $n$ integers $x_1,x_2,\ldots,x_n$: the contents of the array.

Output $n-k+1$ values: the costs.

- $1 \le k \le n \le 2 \cdot 10^5$

- $1 \le x_i \le 10^9$

Input:

`8 3`

2 4 3 5 8 1 2 1

Output:

`2 2 5 7 7 1`