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 >
	Aswin Murugesh: 2013-09-15 21:11:58 One liner in python. Solved it with just a simple trick for decimal place
	KESHAV BANSAL: 2013-08-13 15:49:48 Got WA Due to Case(c)in capital just concentrate on the way of presentation:
	Rudradeep Mukherjee: 2013-07-12 15:04:05 Got WA due to different data types. Got AC in 2nd attempt ! :)
	Hasil Sharma: 2013-07-02 11:52:26 yeah true , it can be solved without using any float or double
	pika_pika: 2013-06-28 13:35:00 really should be moved to tutorial. The wrong output format costed me 2 WA.. just a whitespace missing and the spoj engine goes of crazy... :P
	UTKARSH: 2013-06-27 14:12:13 ppl remember \n it costed me two wa's.
	Rana Saha: 2013-06-14 00:34:36 No need of float and double .. No tricks.. Simple differentiation..
	Rana Saha: 2013-06-14 00:27:22 Forgot to print Case....and got 2 WA :) .. Move it to tutorials ..
	shashank: 2013-05-08 16:54:32 my 26 question AC. and this was done in first attemt , you just have to know differentiation and then this will be easy one.
	ওয়াসী (Wasi): 2013-04-06 09:27:26 I just solved it only using integers!!! and a little trick not even used any float variable.