SSORT  Silly Sort
Your younger brother has an assignment and needs some help. His teacher gave him a sequence of numbers to be sorted in ascending order. During the sorting process, the places of two numbers can be interchanged. Each interchange has a cost, which is the sum of the two numbers involved.
You must write a program that determines the minimal cost to sort the sequence of numbers.
Input
The input file contains several test cases. Each test case consists of two lines. The first line contains a single integer n (n>1), representing the number of items to be sorted. The second line contains n different integers (each positive and less than 1000), which are the numbers to be sorted.
The input is terminated by a zero on a line by itself.
Output
For each test case, the output is a single line containing the test case number and the minimal cost of sorting the numbers in the test case.
Place a blank line after the output of each test case.
Example
Input: 3 3 2 1 4 8 1 2 4 5 1 8 9 7 6 6 8 4 5 3 2 7 0 Output: Case 1: 4 Case 2: 17 Case 3: 41 Case 4: 34
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sidiq_ha:
20171101 07:50:38
How to get 41 for the third case? 

satya_jha123:
20150919 21:28:39
Struggled for almost two days then finally got the concept .Cycle and its values.Quality problem. Last edit: 20150919 21:29:21 

Martijn Muijsers:
20131201 21:47:11
Awesome problem, compliments! 

shivendra panicker:
20121215 05:28:30
very good problem!! 

beginner :(:
20120831 16:59:31
Really awesome prob :) 

littlefriend:
20120327 13:39:40
swap(1,2)>swap(1,4)>swap(1,8) 

Devil D:
20120229 09:58:37
How is the answer for second case 17 ? 

Gurpreet Singh:
20110622 19:20:12
@wael: "The second line contains n *different* integers " 

The Scenario:
20110505 15:36:37
Is there any repeated Number in the sequence ? 
Added by:  Fudan University Problem Setters 
Date:  20080103 
Time limit:  0.5s 
Source limit:  50000B 
Memory limit:  1536MB 
Cluster:  Cube (Intel G860) 
Languages:  All except: C99 ERL JSRHINO NODEJS PERL6 VB.NET 
Resource:  ACM/ICPC World Final 2002 (unofficial testdata) 