CF294A Shaass and Oskols

Description

Shaass has decided to hunt some birds. There are $ n $ horizontal electricity wires aligned parallel to each other. Wires are numbered $ 1 $ to $ n $ from top to bottom. On each wire there are some oskols sitting next to each other. Oskol is the name of a delicious kind of birds in Shaass's territory. Supposed there are $ a_{i} $ oskols sitting on the $ i $ -th wire. ![](https://cdn.luogu.com.cn/upload/vjudge_pic/CF294A/73007671070cf7450001e3a2fd81bd3bfb5da54a.png)Sometimes Shaass shots one of the birds and the bird dies (suppose that this bird sat at the $ i $ -th wire). Consequently all the birds on the $ i $ -th wire to the left of the dead bird get scared and jump up on the wire number $ i-1 $ , if there exists no upper wire they fly away. Also all the birds to the right of the dead bird jump down on wire number $ i+1 $ , if there exists no such wire they fly away. Shaass has shot $ m $ birds. You're given the initial number of birds on each wire, tell him how many birds are sitting on each wire after the shots.

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Output Format

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