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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bigBOSS:
2012-09-28 08:48:40
too simple......if u know a bit of maths......ac in first attempt |
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Shubham:
2012-08-03 04:37:09
@tjandra agree
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Fish3R:
2012-06-30 19:49:11
Use long long and use lf to avoid WA... |
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marwan akkad:
2012-06-22 20:05:14
Brilliant problem, it reminds me of my baccalaureate
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stranger:
2012-06-15 14:01:14
At least I've learned smth new about java's casting |
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:):
2012-06-13 07:11:51
oh no i am getting TLE..used %Lf for answer and long long int for radius then also |
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gabber:
2012-04-17 08:47:09
very easy just see the output formatting cost me three wa |
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Darky:
2012-04-14 16:19:39
Somehow python gives wrong answer to this one. |
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(Tjandra Satria Gunawan)(曾毅昆):
2012-03-24 18:20:53
i can solve this problem without using floating point or double... just integer with few math tricks :) |
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ginnipkj:
2012-03-11 16:17:59
i totally agree with JVR
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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) |