TEAM2 - A Famous ICPC Team

Mr. B, Mr. G, Mr. M and their coach Professor S are planning their way to Warsaw for the ACM-ICPC World Finals. Each of the four has a square-shaped suitcase with side length Ai (1 <= i <= 4) respectively. They want to pack their suitcases into a large square box. The heights of the large box as well as the four suitcases are exactly the same. So they only need to consider the large box’s side length. Of course, you should write a program to output the minimum side length of the large box so that the four suitcases can be put into the box without overlapping.

Input

Each test case contains only one line containing 4 integers Ai (1<= i <=4, 1<= Ai <=1,000,000,000) indicating the side length of each suitcase.

Output

For each test case, display a single line containing the case number and the minimum side length of the large box required.

Example

Input:
2 2 2 2
2 2 2 1

Output:
Case 1: 4
Case 2: 4

Explanation

For the first case, all suitcases have size 2x2. So they can perfectly be packed in a 4x4 large box without wasting any space.

For the second case, three suitcases have size 2x2 and the last one is 1x1. No matter how to rotate or move, you could find the side length of the box must be at least 4.


Added by:Fudan University Problem Setters
Date:2012-05-25
Time limit:1s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: ASM64
Resource:FDU Local Contest 2012

hide comments
2018-03-17 20:34:34
just don't get over excited after finding the logic so that you forget to write the case numbers as happened to me!
costed 2 WA's
2017-04-05 10:50:01
cin.eof not working..use scanf
2016-10-27 11:58:45
2 liner question!
2016-06-03 15:52:34
easy:))
2016-04-16 00:00:22 utkarsh538
only trick is reading the file,rest very simple.
2016-01-14 13:34:02 minhthai
in java, you can use try/catch to terminate
2015-10-28 22:20:19 rahul_verma
take care of 'EOF'
2015-06-15 14:48:40 Dushyant Singh
Chances of taking input incorrectly are very high in these type of questions i.e. question which take input till EOF and that too with multiple values(here 4). So take of input and you will easily get AC! :-)
2015-06-10 13:22:48 Narendra pal
if u dont get logic its not easy...AC ;)
2015-06-01 21:03:52
my 50th on spoj ;-)
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