MAXLN - THE MAX LINES

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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

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Juɑƞ Chɑpɑrro: 2013-03-29 02:41:23

Easy!

Rohan Joshi: 2013-02-03 09:18:27

move to tutorial pls...more emphasis on formatting output...

rishabhshinghal: 2013-01-25 20:36:10

should be moved to tutorial

#vaidy_MIT#: 2012-12-10 07:53:28

ANd it is my 50 th problem :) learnt a lot from spoj :) Love you so much :)

sunny: 2012-11-21 05:51:31

getting tle for%Lf.plz explain

bigBOSS: 2012-09-28 08:48:40

too simple......if u know a bit of maths......ac in first attempt

Shubham: 2012-08-03 04:37:09

@tjandra agree
@darky1 disagree

Fish3R: 2012-06-30 19:49:11

Use long long and use lf to avoid WA...

marwan akkad: 2012-06-22 20:05:14

Brilliant problem, it reminds me of my baccalaureate
Thanks Muhammad Ridowan

stranger: 2012-06-15 14:01:14

At least I've learned smth new about java's casting


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)