Input

The input contains blocks of 2 lines. The first line contains the number of sticks parts after cutting, there are at most 64 sticks. The second line contains the lengths of those parts separated by the space. The last line of the file contains zero.



Output

The output should contains the smallest possible length of original sticks, one per line.



Sample Input





9

5 2 1 5 2 1 5 2 1

4

1 2 3 4

0





Sample Output





6

5

-Input The input contains blocks of two lines. The first line contains the number of sticks par ts after cutting, there are at most 64 sticks. The second line contains the ains the lengths of those parts separated by the space. The last line of the file contains zero. O The output should utput contains the smallest p ossible length of original sticks, one per line. Sample Input 9 5 2 1 5 2 1 5 2 1 4 1 2 3 4 0 Sa mple Output 6 5