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Rooted Trees Problem

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)
Total Submission(s): 1011    Accepted Submission(s): 395


Problem Description
Give you two definitions tree and rooted tree. An undirected connected graph without cycles is called a tree. A tree is called rooted if it has a distinguished vertex r called the root. Your task is to make a program to calculate the number of rooted trees with n vertices denoted as Tn. The case n=5 is shown in Fig. 1.
 

Input
There are multiple cases in this problem and ended by the EOF. In each case, there is only one integer means n(1<=n<=40) .
 

Output
For each test case, there is only one integer means Tn.
 

Sample Input
1 2 5
 

Sample Output
1 1 9
 

Author
SmallBeer(CML)
 

Source
 

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