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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anup2raj:
2017-01-19 16:36:14
giving wa from r=1024
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narutohokage_1:
2017-01-17 06:36:16
long int can also be 32 bit on your compiler so it could also not work , please use long long int. Input cases are only integer, what happens is it overflows more than what int can contain , no need to use floating point or double. |
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narutohokage_1:
2017-01-17 06:20:03
TO ALL WHO FOUND output confusing , first of all radius given are in integer only no float , and yes the problem is as easy as you are thinking . Second if you take radius as integer and it is not accepting , it is because (for C) , int max size can be of 4,294,967,295 and if r = 1000000 , r * r = 1000000000000 which is above the range of int , so use long long in C. Format Specifier is %lld , that is all it is to this problem. Constant time is for any test case. |
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rohan2802:
2017-01-15 22:07:59
Be careful of the output format.The 'C' in case is capital.Cost me 7 wa........ |
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kira28:
2016-12-14 22:30:41
AC by hook or crook... |
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shantanu_sarin:
2016-12-14 14:31:07
mathematical concept required......
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asgupta_spoj:
2016-12-04 09:28:14
care of format of output required.
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E Naveen Kumar:
2016-11-09 11:57:02
REMEMBER ans should be in format "Case I: ans"
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wompowe:
2016-10-31 08:55:27
when you add that "fixed number" to the value of computed number,it gives WA but when you just print it it gives AC. Don't know why |
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roopansh:
2016-09-27 19:52:39
one WA for not printing "Case :".. took radius as double
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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) |