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Ignatius and the Princess III --undo

2016-02-17 16:41 253 查看

Ignatius and the Princess III

Time Limit : 2000/1000ms (Java/Other) Memory Limit : 65536/32768K (Java/Other)
Total Submission(s) : 56 Accepted Submission(s) : 41
[align=left]Problem Description[/align]
"Well, it seems the first problem is too easy. I will let you know how foolish you are later." feng5166 says."The second problem is, given an positive integer N, we define an equation like this:N=a[1]+a[2]+a[3]+...+a[m];a[i]>0,1<=m<=N;My
question is how many different equations you can find for a given N.For example, assume N is 4, we can find:4 = 4;4 = 3 + 1;4 = 2 + 2;4 = 2 + 1 + 1;4 = 1 + 1 + 1 + 1;so the result is 5 when N is 4. Note that "4 = 3 + 1" and "4 = 1 + 3" is the same in this
problem. Now, you do it!"

[align=left]Input[/align]
The input contains several test cases. Each test case contains a positive integer N(1<=N<=120) which is mentioned above. The input is terminated by the end of file.

[align=left]Output[/align]
For each test case, you have to output a line contains an integer P which indicate the different equations you have found.

[align=left]Sample Input[/align]

4
10
20


[align=left]Sample Output[/align]

5
42
627
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