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

< Previous 5 6 7 8 9 10 11 12 13 14 15 Next >
	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
	ashish jaiswal: 2014-08-17 22:28:43 @ravi thanx bro..i did d same mistake twice
	ravi: 2014-08-16 22:27:05 use calculus to derive formula... case instead of Case caused me 3 WA...
	rituraj: 2014-08-10 22:41:06 there is a simple sequence in the outputs... :) for 2 its 16.25 catch it if you can :p
	mohsin mohammad: 2014-08-09 20:23:50 Can anyone help me?