T = int(input())   
for _ in range(T):
    N, M = map(int, input().split())
    Z = 0
    if N == 0:
        Z = 0
    elif M == 0:
        while N >= 2:
            N = N - 2
            M = M + 4
            if M >= 2:
                N = N - 4
                M = M - 2
                Z = Z + 1
    else:
        S1 = (N // 4)
        S2 = (M // 2) 
        if S1 > S2:
            while N >= 2:
                N = N - 2
                M = M + 4
                if M >= 2:
                    N = N - 4
                    M = M - 2
                    Z = Z + 1
        else:
            Z = (N // 4) * 3

print(Z)