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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
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) |
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2014-04-17 21:12:34 SHIVAM DIXIT
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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2014-04-11 12:38:09 anon
easy :) EDIT: solved using int and without int Last edit: 2014-04-11 12:41:31 |
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2014-02-04 17:14:13 RAJAT SINGH
easy one got AC in first attempt........ simple maths is applied |
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2014-01-16 08:28:22 headfirstcoder
test cases even contain float values of radius also.... |
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2013-12-13 16:51:53 Achmet ibn Rashid
Funniest solution ever; trivial to implement once you do the math. |
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2013-11-30 15:51:34 Tarun Garg
output formatting cost 2 WA...Case(space)I:(space)no. |
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2013-11-16 22:46:00 Dinesh
haha..i/o practice..:) |
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2013-11-06 18:32:31 Abhishek Pasayat
why cant we take "s" as float??Its working for "s" as double but not for float. |
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2013-11-06 01:57:57 Shashank Gupta
Hint: Read wikipedia articles on "Thales' theorem" and "Quadratic functions". Also, know how to handle large integers in whatever language you are in. :) Good problem. |
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2013-10-30 20:36:39 Kyuubi Sage Mode
i ignored the formatting like case #x: ans somehow and that cost me 2 WAs :P |