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
2015-08-01 23:49:00
int radius gave WA
float radius gave WA
double gives AC -.-
2015-07-21 21:42:18 Shreyas Dixit
basic trigonometry

Last edit: 2015-07-21 21:42:49
2015-07-12 16:11:13 ROHIT Kumar
can anybody tell why it was not working with
float...

Last edit: 2015-07-12 16:22:54
2015-07-12 16:08:30 ROHIT Kumar
ac
after 5 wa..use double...

Last edit: 2015-07-12 16:22:12
2015-07-03 07:02:40 Shantanu Banerjee
This stupid Ques caused me 5 WA's, Hell Frustated,
WA in C
AC in C++
2015-06-18 11:05:34
Damn easy question. Don't waste time here.
2015-05-30 14:18:49
stupid question
2015-04-29 03:50:31 BRAIN
4 * r * r + 0.25 ( using floating point )
2015-04-20 22:46:05 _R0b_
is it my answer's correct format ?
3
1
Case 1: 4.25
1000
Case 2: 4e+06
100000
Case 3: 4e+10
2015-04-18 19:05:20 NIKHIL KUMAR SINGH
Don't know that ....When i submitted in python got 4 WA's and AC in one go in C++
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