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 >
	Seshadri R: 2011-04-15 04:50:59 @cegprakash: For a circle of radius 1, the maximum value of s (s=AB*AB + AC) is 4.25. @Ila Jain: The input values of integers. But the intermediate values are larger than integers and the final result is a float value. Check the type of variables used in your program.
	enchantress: 2011-04-11 19:08:20 i am getting WA altho the answer for the given test case is correct .
	cegprakash: 2011-04-06 01:05:04 could someone explain the given testcase?
	Siarhei Khamenka: 2011-03-30 13:03:37 Did you add "Case I :" before the answer ?
	neophilic: 2011-03-30 05:48:24 @seshadri: I know that, and as I said earlier, algo is too trivial for a classic problem. But still I was getting WA because of a silly mistake. Last edit: 2011-03-30 05:54:54
	Seshadri R: 2011-03-30 04:29:01 @neophilic: While the inputs are all integers, the result is not. That might be the reason for your WA (I am telling this from my personal experience)
	Seshadri R: 2011-03-30 04:27:38 Pre-university knowledge of calculus would enable any kid to write the simplest of programs to solve this problem. Tutorial candidate?
	যোবায়ের: 2011-03-28 13:41:04 @neophilic for discussing about algorithms and test cases, please go to spoj forums.
	Muhammad Ridowan: 2011-03-28 11:48:42 Any comment regarding wanting result for any test case will be removed. As some people already accepted it , I think its pointless.