Bill is a famous mathematician in BubbleLand. Thanks to his revolutionary math discoveries he was able to make enough money to build a beautiful house. Unfortunately, for not paying property tax on time, court decided to punish Bill by making him lose a part of his property. Bill’s property can be observed as a convex regular 2 n -sided polygon A 0 A 1 ... A 2 n - 1 A 2 n , A 2 n = A 0 , with sides of the exactly 1 meter in length. Court rules for removing part of his property are as follows: Split every edge A k A k + 1 , k = 0... 2 n - 1 in n equal parts of size 1 / n with points P 0 , P 1 , ..., P n - 1 On every edge A 2 k A 2 k + 1 , k = 0... n - 1 court will choose one point B 2 k = P i for some i = 0, ..., n - 1 such that On every edge A 2 k + 1 A 2 k + 2 , k = 0... n - 1 Bill will choose one point B 2 k + 1 = P i for some i = 0, ..., n - 1 such that Bill gets to keep property inside of 2 n -sided polygon B 0 B 1 ... B 2 n - 1 Luckily, Bill found out which B 2 k points the court chose. Even though he is a great mathematician, his house is very big and he has a hard time calculating. Therefore, he is asking you to help him choose points so he maximizes area of property he can keep. The first line contains one integer number n (2 ≤ n ≤ 50000) , representing number of edges of 2 n -sided polygon. The second line contains n distinct integer numbers B 2 k (0 ≤ B 2 k ≤ n - 1, k = 0... n - 1) separated by a single space, representing points the court chose. If B 2 k = i , the court chose point P i on side A 2 k A 2 k + 1 . Output contains n distinct integers separated by a single space representing points B 1 , B 3 , ..., B 2 n - 1 Bill should choose in order to maximize the property area. If there are multiple solutions that maximize the area, return any of them. To maximize area Bill should choose points: B 1 = P 0 , B 3 = P 2 , B 5 = P 1