Submit | All submissions | Best solutions | Back to list |
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) |
hide comments
|
||||||||||||||
2011-05-22 11:00:33 Piotr KÄ…kol
@arshak minasyan - Yup. |
||||||||||||||
2011-05-22 09:15:53 arshak minasyan
is the answer for r=2 16.25? |
||||||||||||||
2011-05-12 15:59:03 Piotr KÄ…kol
@sikandar - That for example if the answer is 1.23 You can print both 1.229 and 1.231 as it's both rounded to 2 decimal point 1.23. |
||||||||||||||
2011-05-12 10:57:29 sikandar
what means Errors should be less then .01 ? |
||||||||||||||
2011-04-17 00:03:36 :(){ :|: & };:
Tutorial material. |
||||||||||||||
2011-04-15 04:50:59 Seshadri R
@cegprakash: For a circle of radius 1, the maximum value of s (s=AB*AB + AC) is 4.25. @Ila Jain: The input values of integers. But the intermediate values are larger than integers and the final result is a float value. Check the type of variables used in your program. |
||||||||||||||
2011-04-11 19:08:20 enchantress
i am getting WA altho the answer for the given test case is correct . |
||||||||||||||
2011-04-06 01:05:04 cegprakash
could someone explain the given testcase? |
||||||||||||||
2011-03-30 13:03:37 Siarhei Khamenka
Did you add "Case I :" before the answer ? |
||||||||||||||
2011-03-30 05:48:24 neophilic
@seshadri: I know that, and as I said earlier, algo is too trivial for a classic problem. But still I was getting WA because of a silly mistake. Last edit: 2011-03-30 05:54:54 |