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ELPESUM - Elegant Permuted Sum |
Special Thanks: Jane Alam Jan
*At moment in University of Texas at San Antonio - USA
You will be given n integers A1A2A3...An. Find a permutation of these n integers so that summation of the absolute differences between adjacent elements is maximized.
Suppose n = 4 and the given integers are 4 2 1 5. The permutation 2 5 1 4 yields the maximum summation. For this permutation sum = abs(2-5) + abs(5-1) + abs(1-4) = 3+4+3 = 10.
Of all the 24 permutations, you won’t get any summation whose value exceeds 10. We will call this value, 10, the elegant permuted sum.
Input
The first line of input is an integer T (T < 100) that represents the number of test cases. Each case consists of a line that starts with n (1 < n < 51) followed by n non-negative integers separated by a single space. None of the elements of the given permutation will exceed 1000.
Output
For each case, output the case number followed by the elegant permuted summation.
Example
Input: 3
4 4 2 1 5
4 1 1 1 1
2 10 1 Output: Case 1: 10
Case 2: 0
Case 3: 9
| Added by: | noname |
| Date: | 2015-09-17 |
| Time limit: | 1s |
| Source limit: | 50000B |
| Memory limit: | 1536MB |
| Cluster: | Cube (Intel G860) |
| Languages: | All except: GOSU |
| Resource: | By Sohel Hafiz Bangladesh* |
hide comments
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2016-12-23 11:00:01
why WA? |
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2016-07-14 14:24:34 Anant Upadhyay
Just pen and paper and done ! |
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2016-07-14 12:26:02 ASHUTOSH DWIVEDI
Logic is little bit like IMBA the problem asked in hackerrank countercode 2015 |
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2016-07-12 18:02:09 Piyush Kumar
There's a very elegant and easy to see nlogn solution. I wonder why the limits on n is so less. @Sarthat Gupta: It is mentioned in the description that A[i]<=1000 Last edit: 2016-07-12 18:02:59 |
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2016-03-31 14:34:27 sarthak gupta
what is the range of An? |
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2015-12-30 21:15:11
there is no tricky case. be careful in doing for odd numbers. |
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2015-09-22 18:15:04 Rahul yadav
can anybody give more test cases (tricky) with answer |
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2015-09-21 07:09:12 Vikneshwar E
[code redacted] I feel that my approach is correct. But I don't know why my solution is not accepted. Could someone please help me by providing test cases ? Edit : AC Last edit: 2015-12-06 16:28:29 |
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