MAXLN - THE MAX LINES

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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
Shivam kumar : 2015-01-23 16:07:37

test case consists of only integer.

Arnabjyoti Kalita: 2015-01-18 07:49:28

take care of the inputs...
radius is long long...
answer is double

sathya_dev: 2014-12-29 06:54:58

Hi.. Test Case contains float value. Use float. Cost me a WA.

Anuj Agrawal: 2014-12-25 10:45:33

Notice a space after the colon ,costed me WA

Last edit: 2014-12-25 10:48:11
Chinmaya Kumar Patanaik: 2014-12-20 20:16:40

Changed radius from int to double...and it worked..inputs in the question could have been more clear.

Last edit: 2014-12-20 20:17:05
Samarth Kothari: 2014-12-16 04:40:57

It definitely has float radius!!!

Last edit: 2014-12-16 04:41:22
sparky: 2014-12-02 15:13:34

All the test cases are integers.
You don't need double to input.
Make sure your output is in the right syntax: "Case 1: "+value

HITESH GARG: 2014-12-01 16:46:51

test case also have float radius value...
easy one..

tictactoecoder: 2014-10-23 09:25:01

@rituraj I just followed your testcase :D and got AC 1st time :D thnx bro :D

jinkies: 2014-10-15 11:42:00

pretty easy, if you have the right info


Added by:Muhammad Ridowan
Date:2011-03-28
Time limit:1s-1.679s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: ASM64
Resource:Own Problem(used for CSE,University of Dhaka, Newbies Contest)