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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	cc: 2011-10-10 16:08:41 for c++ users: use int for the test case, long long int for the radius, and double for the result :)
	Nnavneetsinha: 2011-09-24 06:10:02 some mathematics needed only. tutorial problem. Last edit: 2011-09-24 06:10:31
	manish kapoor: 2011-07-28 10:30:22 my code runs fine for d given test case ,pls give sm more test cases....pls (sm odd ones)
	oldmonk: 2011-06-12 19:08:36 do some math to get value of AC.. :) Last edit: 2011-06-12 19:09:02
	Rohan Laishram: 2011-06-02 08:39:11 Tutorial
	Piotr KÄ…kol: 2011-05-22 11:00:33 @arshak minasyan - Yup.
	arshak minasyan: 2011-05-22 09:15:53 is the answer for r=2 16.25?
	Piotr KÄ…kol: 2011-05-12 15:59:03 @sikandar - That for example if the answer is 1.23 You can print both 1.229 and 1.231 as it's both rounded to 2 decimal point 1.23.
	sikandar: 2011-05-12 10:57:29 what means Errors should be less then .01 ?
	:(){ :|: & };:: 2011-04-17 00:03:36 Tutorial material.