def rotate(state, pipe_numbers):
    count = []
    for i in range(len(state)):
        last = state.pop()
        state.insert(0, last)
        is_good = True
        for j in pipe_numbers:
            if state[j] != 1:
                is_good = False
                break
        if is_good:
            if i+1 >= len(state):
                count.append(0)
            else:
                count.append(i+1)
    count.sort()
    print(count)
    return count


if __name__ == '__main__':
    # These "asserts" using only for self-checking and not necessary for auto-testing
    assert rotate([1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1], [0, 1]) == [1, 8], "Example"
    assert rotate([1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1], [0, 1, 2]) == [], "Mission impossible"
    assert rotate([1, 0, 0, 0, 1, 1, 0, 1], [0, 4, 5]) == [0], "Don't touch it"
    assert rotate([1, 0, 0, 0, 1, 1, 0, 1], [5, 4, 5]) == [0, 5], "Two cannonballs in the same pipe"