#include<stdio.h>
#include<stdlib.h>
int sort(const void *a, const void *b)
{
    return *(int *)a - *(int *)b;
}
int min(int a, int b)
{
    if (a < b)
        return a;
    else
        return b;
}
int main()
{
    int m, n, i, j;
    scanf("%d",&m);
    while (m--)
    {
        scanf("%d",&n);
        int a[1000] = {0}, num = 0;
        for (i = 0; i < n; i++)
            scanf("%d",&a[i]);
        qsort(a, n, sizeof(int), sort);
        while (n > 3)
        {
            num += min((2 * a[1] + a[0] + a[n - 1]), (a[n - 1] + 2 * a[0] + a[n - 2]));
            n-=2;
        }
        if (n == 3)
            num += a[0] + a[1] + a[2];
        else if (n == 2)
            num += a[1];
        else
            num += a[0];
        printf("%d\n",num);
    }
    return 0;
}