Mountain Scenery

题意翻译

给定一个长度为 $2\times n+1$ 的序列，且这个序列满足：对于每个 $i$（$1\leq i\leq 2\times n+1$），如果 $i$ 是偶数，则一定满足 $a_{i-1}<a_i$ 且 $a_i>a_{i+1}$。你需要求出一个序列，其中有 $k$ 个下标为偶数的数相比输入的序列被减了 $1$，但是这个序列依然满足上面的条件。

题目描述

Little Bolek has found a picture with $ n $ mountain peaks painted on it. The $ n $ painted peaks are represented by a non-closed polyline, consisting of $ 2n $ segments. The segments go through $ 2n+1 $ points with coordinates $ (1,y_{1}) $ , $ (2,y_{2}) $ , $ ... $ , $ (2n+1,y_{2n+1}) $ , with the $ i $ -th segment connecting the point $ (i,y_{i}) $ and the point $ (i+1,y_{i+1}) $ . For any even $ i $ $ (2<=i<=2n) $ the following condition holds: $ y_{i-1}&lt;y_{i} $ and $ y_{i}&gt;y_{i+1} $ . We shall call a vertex of a polyline with an even $ x $ coordinate a mountain peak.  The figure to the left shows the initial picture, the figure to the right shows what the picture looks like after Bolek's actions. The affected peaks are marked red, $ k $ = 2. Bolek fancied a little mischief. He chose exactly $ k $ mountain peaks, rubbed out the segments that went through those peaks and increased each peak's height by one (that is, he increased the $ y $ coordinate of the corresponding points). Then he painted the missing segments to get a new picture of mountain peaks. Let us denote the points through which the new polyline passes on Bolek's new picture as $ (1,r_{1}) $ , $ (2,r_{2}) $ , $ ... $ , $ (2n+1,r_{2n+1}) $ . Given Bolek's final picture, restore the initial one.

输入输出格式

输入格式

The first line contains two space-separated integers $ n $ and $ k $ $ (1<=k<=n<=100) $ . The next line contains $ 2n+1 $ space-separated integers $ r_{1},r_{2},...,r_{2n+1} $ $ (0<=r_{i}<=100) $ — the $ y $ coordinates of the polyline vertices on Bolek's picture. It is guaranteed that we can obtain the given picture after performing the described actions on some picture of mountain peaks.

输出格式

Print $ 2n+1 $ integers $ y_{1},y_{2},...,y_{2n+1} $ — the $ y $ coordinates of the vertices of the polyline on the initial picture. If there are multiple answers, output any one of them.

输入输出样例

输入样例 #1

3 2
0 5 3 5 1 5 2

输出样例 #1

0 5 3 4 1 4 2 

输入样例 #2

1 1
0 2 0

输出样例 #2

0 1 0