def f(a, b, m):
    if a + b >= 123:
        return m % 2 == 0
    if m == 0:
        return False
    h = [f(a+1, b, m-1), f(a, b+1, m-1), f(a*2, b, m-1), f(a, b*2, m-1)]
    return any(h) if (m-1) % 2 == 0 else all(h)
print([s for s in range(1, 110) if (f(13, s, 2) or f(13, s, 4)) and not f(13, s, 2)])