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小兔的棋盘

Time Limit: 1000/1000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 21374    Accepted Submission(s): 10621


Problem Description
小兔的叔叔从外面旅游回来给她带来了一个礼物,小兔高兴地跑回自己的房间,拆开一看是一个棋盘,小兔有所失望。不过没过几天发现了棋盘的好玩之处。从起点(0,0)走到终点(n,n)的最短路径数是C(2n,n),现在小兔又想如果不穿越对角线(但可接触对角线上的格点),这样的路径数有多少?小兔想了很长时间都没想出来,现在想请你帮助小兔解决这个问题,对于你来说应该不难吧!
 

Input
每次输入一个数n(1<=n<=35),当n等于-1时结束输入。
 

Output
对于每个输入数据输出路径数,具体格式看Sample。
 

Sample Input
1 3 12 -1
 

Sample Output
1 1 2 2 3 10 3 12 416024
 

Author
Rabbit
 

Source
 

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