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MAXLN - THE MAX LINES |
In this problem you will be given a half-circle. The half-circle’s radius is r. You can take any point A on the half-circle and draw 2 lines from the point to the two sides of the diameter(AB and AC). Let the sum of square of one line’s length and the other line’s length is s
Like in the figure s = AB2 + AC. And BC = 2r.
Now given r you have to find the maximum value of s. That is you have to find point A such that AB2 + AC is maximum.
Input
First line of the test case will be the number of test case T (1 <= T <= 1000). Then T lines follows. On each line you will find a integer number r (1 <= r <= 1000000); each representing the radius of the half-circle.
Output
For each input line, print a line containing "Case I: ", where I is the test case number and the maximum value of s. Print 2 digit after decimal (Errors should be less then .01).Example
Sample Input: 1 1 Sample Output: Case 1: 4.25
Added by: | Muhammad Ridowan |
Date: | 2011-03-28 |
Time limit: | 1s-1.679s |
Source limit: | 50000B |
Memory limit: | 1536MB |
Cluster: | Cube (Intel G860) |
Languages: | All except: ASM64 |
Resource: | Own Problem(used for CSE,University of Dhaka, Newbies Contest) |
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2015-05-30 14:18:49
stupid question |
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2015-04-29 03:50:31 BRAIN
4 * r * r + 0.25 ( using floating point ) |
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2015-04-20 22:46:05 _R0b_
is it my answer's correct format ? 3 1 Case 1: 4.25 1000 Case 2: 4e+06 100000 Case 3: 4e+10 |
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2015-04-18 19:05:20 NIKHIL KUMAR SINGH
Don't know that ....When i submitted in python got 4 WA's and AC in one go in C++ |
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2015-04-01 20:23:34 burninggoku
iss prashan ne toh hume 12 kaksha ki yaad dilla di...waah...... |
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2015-03-26 20:26:21 Dushyant Singh
Take radius as long long. Costed me many WA. -_- |
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2015-02-05 14:29:11 Andrey Kaygorodov
The input is correct. There is only integers values. |
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2015-02-05 13:03:19 LeppyR64
The input is definitely all in the set of integers. |
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2015-02-05 01:28:03 Francky
Edit : using Python ! Edit : My test was wrong, "assert '.' not in list(line)" didn't give me NZEC, so there's no '.' in input. My conclusion, like Mitch, is that input is well formatted. Last edit : the real reason for my NZEC is not that some lines have only one char ; it was due to my curious way of reading input on that old code. Last edit: 2015-02-05 13:16:41 |