408019: GYM102961 ZG Sliding Cost

Memory Limit:256 MB Time Limit:2 S
Judge Style:Text Compare Creator:
Submit:0 Solved:0

Description

ZG. Sliding Costtime limit per test2 secondsmemory limit per test256 megabytesinputstandard inputoutputstandard output

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 all elements equal.

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

Input

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 $$$x_1,x_2,\dots,x_n$$$: the contents of the array.

Output

Output $$$n−k+1$$$ values: the costs.

ExampleInput
8 3
2 4 3 5 8 1 2 1
Output
2 2 5 7 7 1 

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