import sys
from heapq import heapify, heappush, heappop
input = sys.stdin.readline
T = int(input())
for _ in range(T):
N = int(input())
size_list = list(map(int, input().split()))
heapify(size_list)
total_size = 0
current_size = []
while size_list:
if len(current_size) < 2:
current_size.append(heappop(size_list))
continue
size_sum = sum(current_size)
total_size += size_sum
heappush(size_list, size_sum)
current_size.clear()
current_size.append(heappop(size_list))
total_size += sum(current_size)
print(total_size)