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

hide comments
sparky: 2014-12-02 15:13:34

All the test cases are integers.
You don't need double to input.
Make sure your output is in the right syntax: "Case 1: "+value

HITESH GARG: 2014-12-01 16:46:51

test case also have float radius value...
easy one..

tictactoecoder: 2014-10-23 09:25:01

@rituraj I just followed your testcase :D and got AC 1st time :D thnx bro :D

jinkies: 2014-10-15 11:42:00

pretty easy, if you have the right info

Vamsi Krishna Avula: 2014-10-13 17:33:49

radius as given in question is just integer, no float values are given.

Last edit: 2015-01-13 14:15:41
vikax: 2014-09-19 10:08:23

easy one simple math.......

Saurabh Shukla: 2014-09-18 23:15:25

Basic maths.Took me back to the good old days of my high school :)

funky: 2014-09-05 12:16:01

wtf!! got 2 wa for case instead of Case

eightnoteight: 2014-09-03 17:19:32

very very simple question...

surayans tiwari(http://bit.ly/1EPzcpv): 2014-08-30 12:49:10

+0.25 easiest ques


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)