import sys
input = lambda :sys.stdin.readline()[:-1]
ni = lambda :int(input())
na = lambda :list(map(int,input().split()))
yes = lambda :print("yes");Yes = lambda :print("Yes");YES = lambda : print("YES")
no = lambda :print("no");No = lambda :print("No");NO = lambda : print("NO")
#######################################################################

for _ in range(ni()):
    n = ni()
    a = na()
    m = max(a)
    s = sum(a)
    if m <= s - m + 1:
        print(s)
    else:
        print(2 * min(m-1, s - m) + 1)