def is_kadomatsu(l): return len(set(l)) == 3 and (min(l) == l[1] or max(l) == l[1]) for _ in range(int(input())): n = int(input()) a = list(map(int, input().split())) * 2 l = [(a[i], i) for i in range(2 * n)] l.sort(key=lambda x:x[1]) l.sort(key=lambda x:x[0], reverse=True) visited = [0] * n ans = 0 for i in range(2 * n): v, ind = l[i] try: if all(not visited[(ind + j) % n] for j in range(3)) and is_kadomatsu(a[ind:ind + 3]): for j in range(3): visited[(ind + j) % n] = 1 ans += v except: pass print(ans)