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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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2015-01-23 16:07:37 Shivam kumar
test case consists of only integer. |
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2015-01-18 07:49:28 Arnabjyoti Kalita
take care of the inputs... radius is long long... answer is double |
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2014-12-29 06:54:58 sathya_dev
Hi.. Test Case contains float value. Use float. Cost me a WA. |
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2014-12-25 10:45:33 Anuj Agrawal
Notice a space after the colon ,costed me WA Last edit: 2014-12-25 10:48:11 |
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2014-12-20 20:16:40 Chinmaya Kumar Patanaik
Changed radius from int to double...and it worked..inputs in the question could have been more clear. Last edit: 2014-12-20 20:17:05 |
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2014-12-16 04:40:57 Samarth Kothari
It definitely has float radius!!! Last edit: 2014-12-16 04:41:22 |
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2014-12-02 15:13:34 sparky
All the test cases are integers. You don't need double to input. Make sure your output is in the right syntax: "Case 1: "+value |
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2014-12-01 16:46:51 HITESH GARG
test case also have float radius value... easy one.. |
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2014-10-23 09:25:01 tictactoecoder
@rituraj I just followed your testcase :D and got AC 1st time :D thnx bro :D |
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2014-10-15 11:42:00 jinkies
pretty easy, if you have the right info |