import sys


def decode(x):
    c2, c5 = 0, 0
    while x % 2 == 0:
        c2 += 1
        x //= 2
    while x % 5 == 0:
        c5 += 1
        x //= 5
    assert x == 1
    return [c2, c5]


def encode(p):
    c2, c5 = p
    x = 1
    for i in range(c2):
        x *= 2
    for i in range(c5):
        x *= 5
    return x


x1, x2 = [int(x) for x in sys.stdin.readline().split()]
p1 = decode(x1)
p2 = decode(x2)

P = 2 ** 7 * 5 ** 9
while x1 != P:
    if p1[0] > 7:
        p1[0] -= 1
    elif p1[0] < 7:
        p1[0] += 1
    elif p1[1] < 9:
        p1[1] += 1
    else:
        assert False
    x1 = encode(p1)
    print(x1, flush=True)
    if x1 == x2:
        exit(0)
    x2 = int(input())
    if x1 == x2:
        exit(0)

if x2 > x1:
    print(x2, flush=True)
    exit(0)

if (p1[0] + p1[1]) % 2 == (p2[0] + p2[1]) % 2:
    p1[0] += 2
    x1 = 10 ** 9
    print(x1, flush=True)
    if x1 == x2:
        exit(0)
    x2 = int(input())
    if x1 == x2:
        exit(0)

while True:
    d2 = abs(p1[0] - p2[0])
    d5 = abs(p1[1] - p2[1])
    if d2 < d5:
        if p1[1] > p2[1]:
            p1[1] -= 1
        else:
            p1[1] += 1
    else:
        if p1[0] > p2[0]:
            p1[0] -= 1
        else:
            p1[0] += 1
    x1 = encode(p1)
    print(x1, flush=True)
    if x1 == x2:
        exit(0)
    x2 = int(input())
    if x1 == x2:
        exit(0)