Problem D
Add All
Input: standard input
Output: standard output

As the problem name suggests, your task is to add a set of numbers with a slight twist. Instead of computing the sum you are required to compute the cost of computing the sum.

The cost of an addition operation is the sum of the two numbers to be added. So, to add 1 and 10, you need a cost of 11. If you want to add 1, 2 and 3. 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

You are required to compute the minimum cost of adding a set of integers.

Input

Each test case will start with a positive number, N (2 ≤ N ≤ 5000) followed by N positive integers (all are less than 100000). Input is terminated by a case where the value of N is zero. This case should not be processed.

Output

For each case print the minimum total cost of addition in a single line.

Sample Input Output for Sample Input

1 2 3

1 2 3 4