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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sukriti_verma:
2015-08-01 23:49:00
int radius gave WA
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Shreyas Dixit:
2015-07-21 21:42:18
basic trigonometry Last edit: 2015-07-21 21:42:49 |
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ROHIT Kumar:
2015-07-12 16:11:13
can anybody tell why it was not working with
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ROHIT Kumar:
2015-07-12 16:08:30
ac
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Shantanu Banerjee:
2015-07-03 07:02:40
This stupid Ques caused me 5 WA's, Hell Frustated,
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r0bo_dart:
2015-06-18 11:05:34
Damn easy question. Don't waste time here. |
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kobe24:
2015-05-30 14:18:49
stupid question |
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BRAIN:
2015-04-29 03:50:31
4 * r * r + 0.25 ( using floating point ) |
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_R0b_:
2015-04-20 22:46:05
is it my answer's correct format ?
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NIKHIL KUMAR SINGH:
2015-04-18 19:05:20
Don't know that ....When i submitted in python got 4 WA's and AC in one go in C++ |
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) |