t = int(input())

if t < 0 or 10**5 < t:
    t[0] = 0

for _ in range(t):
    n,m = list(map(int,input().split()))
    
    if n < 0 or 10**9 < n or m < 0 or 10**9 < m:
        n[0] = 0
    
    ans = 0
    
    ans += min(n//4,m//2)*3
    n,m = n-ans//3*4,m-ans//3*2
    
    ans += n//10*6
    n %= 10
    
    if n >= 6:
        ans += 3
    
    
    print(ans)