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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tni_mdixit:
2016-08-26 14:25:12
Case costed me 2 WA no diff needed just trigy :P
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kaushivam:
2016-08-22 12:04:51
easy ,did'nt write case i: ,cost me 1 WA
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sssymm:
2016-07-26 20:05:53
Its an elementary problem.
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baadshah_:
2016-06-23 12:57:07
Only Need school level Mathametics to solve this problem(Circle)
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Anirban Acharya:
2016-06-21 18:56:44
For people thinking differentiation is needed to maximize the function, well its not so. In fact, its much simpler than that. |
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hassanarif63:
2016-06-19 09:55:22
#Fun With Mathematics |
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pranjalikumar9:
2016-06-05 22:22:59
Take radius as double and check for r=1000000 also print precision upto 2 places..wont harm you..
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rohittt:
2016-05-03 19:58:51
wrong constraints..stupid ques..cost me 1 WA...!!
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Pradd:
2016-04-16 15:16:16
4 lines in Python. It's more of a maths problem then programming. If you don't know differentiation, then go learn it and it's applications. It's useful for maximum and minimum calculations. |
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ISHPREET:
2016-02-26 03:52:07
Shortest code ever use int only :) |
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) |