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 8 9 10 11 12 13 14 15 16 17 18 Next >
	SHIVAM DIXIT: 2014-04-17 21:12:34 got wa for int and float, accepted for long long,double in c++ Last edit: 2014-04-17 21:14:32
	anon: 2014-04-11 12:38:09 easy :) EDIT: solved using int and without int Last edit: 2014-04-11 12:41:31
	RAJAT SINGH: 2014-02-04 17:14:13 easy one got AC in first attempt........ simple maths is applied
	headfirstcoder: 2014-01-16 08:28:22 test cases even contain float values of radius also....
	Achmet ibn Rashid: 2013-12-13 16:51:53 Funniest solution ever; trivial to implement once you do the math.
	Tarun Garg: 2013-11-30 15:51:34 output formatting cost 2 WA...Case(space)I:(space)no.
	Dinesh: 2013-11-16 22:46:00 haha..i/o practice..:)
	Abhishek Pasayat: 2013-11-06 18:32:31 why cant we take "s" as float??Its working for "s" as double but not for float.
	Shashank Gupta: 2013-11-06 01:57:57 Hint: Read wikipedia articles on "Thales' theorem" and "Quadratic functions". Also, know how to handle large integers in whatever language you are in. :) Good problem.
	Kyuubi Sage Mode: 2013-10-30 20:36:39 i ignored the formatting like case #x: ans somehow and that cost me 2 WAs :P