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
hide comments
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karan:
2014-07-30 11:06:38
question says test radius are integer but it contains float as well..@admin correct the question |
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Samar Holkar:
2014-07-08 13:20:15
simple math....no need of calculus... |
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Abhishek Kumar:
2014-06-27 16:40:26
just basic maths..!!!..although got AC in 4th times bcoz of wronlgy taken word "case"...itz better u take care of this word..!! Last edit: 2014-06-27 16:41:15 |
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shreya sahu:
2014-06-03 05:40:19
was missing endl... caused me 3 WA :-p
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arunrjit:
2014-05-28 02:43:29
WTF? test cases also contain float value of radius |
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pvkcse:
2014-05-20 14:07:40
four lines of code in python but printing case causes 6 WA...finally got AC...!!! |
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SHIVAM DIXIT:
2014-04-17 21:12:34
got wa for int and float, accepted for long long,double in c++ Last edit: 2014-04-17 21:14:32 |
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anon:
2014-04-11 12:38:09
easy :)
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headfirstcoder:
2014-01-16 08:28:22
test cases even contain float values of radius also.... |
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Achmet ibn Rashid:
2013-12-13 16:51:53
Funniest solution ever; trivial to implement once you do the math. |
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) |