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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	ISHPREET: 2016-02-26 03:52:07 Shortest code ever use int only :)
	pt97: 2016-01-10 17:45:56 use int and double respectively will cause AC in first
	amanjain5221: 2016-01-08 20:19:58 i used int for radius and long double for ans and i used correctly the precision ....... not worked used double for radius ...... got AC reason??????? Setter reply: 32bit integer may overflow for the calculation of this problem. Last edit: 2016-06-03 13:17:53
	sarthak_8: 2015-12-28 18:37:27 For the people doing it in C++ just using float or double won't help because it gives the output in scientific notation. Set the precision manually and then give it a try. Got 3 WA because of the double's output format. Otherwise the question is easy. Finally AC :)
	pvsmpraveen: 2015-12-26 15:59:18 Once you derived the equation using basic calculus and geometry, you can understand that this question can be done without float or double :P dont use float or double might give u WA
	archit saxena: 2015-12-22 18:29:34 long long int for radius double for storing the final answer :p
	sadiq18: 2015-11-13 04:38:12 take radius in double not long int
	vishals: 2015-10-19 10:25:55 basic trigonometry and quadratic eqn. .. very easy problem Happy Coding :)
	sampawan: 2015-08-25 13:15:32 easy one :)
	sy_117: 2015-08-11 21:20:52 take radius in double ........a 12 lines code in C. Accepted in first go..