1982. Joseph

单点时限: 2.0 sec

内存限制: 256 MB

The Joseph’s problem is notoriously known. For those who are not familiar with the original problem: from among n people, numbered 1, 2, . . ., n, standing in circle every mth is going to be executed and only the life of the last remaining person will be saved. Joseph was smart enough to choose the position of the last remaining person, thus saving his life to give us the message about the incident. For example when n = 6 and m = 5 then the people will be executed in the order 5, 4, 6, 2, 3 and 1 will be saved.

Suppose that there are k good guys and k bad guys. In the circle the first k are good guys and the last k bad guys. You have to determine such minimal m that all the bad guys will be executed before the first good guy.

输入格式

The input file consists of separate lines containing k. The last line in the input file contains 0. You can suppose that 0 < k < 14.

输出格式

The output file will consist of separate lines containing m corresponding to k in the input file.

样例

Input
3
4
0
Output
5
30

30 人解决,38 人已尝试。

46 份提交通过,共有 84 份提交。

3.9 EMB 奖励。

创建: 12 年,7 月前.

修改: 3 年,3 月前.

最后提交: 2 年,3 月前.

来源: Central Europe 1995

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