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
sparky:
2014-12-02 15:13:34
All the test cases are integers.
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HITESH GARG:
2014-12-01 16:46:51
test case also have float radius value...
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tictactoecoder:
2014-10-23 09:25:01
@rituraj I just followed your testcase :D and got AC 1st time :D thnx bro :D |
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jinkies:
2014-10-15 11:42:00
pretty easy, if you have the right info |
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Vamsi Krishna Avula:
2014-10-13 17:33:49
radius as given in question is just integer, no float values are given. Last edit: 2015-01-13 14:15:41 |
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vikax:
2014-09-19 10:08:23
easy one simple math....... |
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Saurabh Shukla:
2014-09-18 23:15:25
Basic maths.Took me back to the good old days of my high school :) |
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funky:
2014-09-05 12:16:01
wtf!! got 2 wa for case instead of Case |
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eightnoteight:
2014-09-03 17:19:32
very very simple question... |
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surayans tiwari(http://bit.ly/1EPzcpv):
2014-08-30 12:49:10
+0.25 easiest ques |
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) |