Small W is playing a summary game. Firstly, He takes N numbers. Secondly he takes out every pair of them and add this two numbers, thus he can get $\frac{N*(N-1)}{2}$ new numbers. Thirdly he deletes the repeated number of the new numbers. Finally he gets the sum of the left numbers. Now small W want you to tell him what is the final sum.
Input
Multi test cases, every case occupies two lines, the first line contain n, then second line contain n numbers $a_1, a_2,\ldots, a_n$ separated by exact one space. Process to the end of file.
[Technical Specification]
2 $\leq n \leq$100
-1000000000$\leq a_i \leq$1000000000
Output
For each case, output the final sum.
Sample Input
4
1 2 3 4
2
5 5
Sample Output
25
10
Hint
Firstly small W takes any pair of 1 2 3 4 and add them, he will get 3 4 5 5 6 7. Then he deletes the repeated numbers, he will get 3 4 5 6 7, Finally he gets the sum=3+4+5+6+7=25.
