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hdu 5047 Sawtooth--2014acm上海赛区邀请赛(附java模板)

来源:程序员人生   发布时间:2014-10-21 08:00:00 阅读次数:2968次

题目链接:http://acm.hdu.edu.cn/showproblem.php?pid=5047

Sawtooth

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/65536 K (Java/Others)
Total Submission(s): 377    Accepted Submission(s): 116


Problem Description
Think about a plane:

● One straight line can divide a plane into two regions.
● Two lines can divide a plane into at most four regions.
● Three lines can divide a plane into at most seven regions.
● And so on...

Now we have some figure constructed with two parallel rays in the same direction, joined by two straight segments. It looks like a character “M”. You are given N such “M”s. What is the maximum number of regions that these “M”s can divide a plane ?

 

Input
The first line of the input is T (1 ≤ T ≤ 100000), which stands for the number of test cases you need to solve.

Each case contains one single non-negative integer, indicating number of “M”s. (0 ≤ N ≤ 1012)
 

Output
For each test case, print a line “Case #t: ”(without quotes, t means the index of the test case) at the beginning. Then an integer that is the maximum number of regions N the “M” figures can divide.
 

Sample Input
2 1 2
 

Sample Output
Case #1: 2 Case #2: 19
 

Source
2014 ACM/ICPC Asia Regional Shanghai Online
 

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一道规律题吧。

公式是这样的     8*n^2 - 7*n + 1

不过出题人似乎故意卡java来增加题目的难度。。。

作为一个ACM弱渣。。。本

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