Problem FAdd AllInput:standard inputOutput:standard output
Yup!! The problem name reflects your task; just add a set of numbers. But you may feel yourselves condescended, to write a C/C++ program just to add a set of numbers. Such a problem will simply question your erudition. So, let’s add some flavor of ingenuity to it.
Addition operation requires cost now, and the cost is the summation of those two to be added. So, to add1and10, you need a cost of11.If you want to add1,2and3.There are several ways –
1 + 2 = 3, cost = 3
3 + 3 = 6, cost = 6
Total = 9
1 + 3 = 4, cost = 4
2 + 4 = 6, cost = 6
Total = 10
2 + 3 = 5, cost = 5
1 + 5 = 6, cost = 6
Total = 11
I hope you have understood already your mission, to add a set of integers so that the cost is minimal.
Input
Each test case will start with a positive number,N (2 ≤ N ≤ 5000)followed byNpositive integers (all are less than100000). Input is terminated by a case where the value ofNis zero. This case should not be processed.
Output
For each case print the minimum total cost of addition in a single line.
Sample InputOutput for Sample Input
3
1 2 3
4
1 2 3 4
0
9
19
Problem setter: Md. Kamruzzaman, EPS
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