class State:
    left_cats = 0
    left_dogs = 0
    right_cats = 0
    right_dogs = 0
    boat_side = "left"

    actions = []

    def __init__(self, lc, ld, side):
        self.left_cats = lc
        self.left_dogs = ld
        self.right_cats = 3 - lc
        self.right_dogs = 3 - ld
        self.boat_side = side

    def row(self, direction, cats, dogs):
        for act in self.actions:
            if (act.direction == direction and act.required_cats == cats
                    and act.required_dogs == dogs):
                return act.result_state

    def add_action(self, act):
        self.actions.append(act)

    def to_string(self):
        return self.boat_side + " " + str(self.left_cats) + "," + str(
            self.left_dogs) + ":" + str(self.right_cats) + "," + str(
                self.right_dogs)


class Action:
    required_cats = 0
    required_dogs = 0
    direction = "left"
    result_state = None

    def __init__(self, source, dest):
        self.required_cats = abs(source.left_cats - dest.left_cats)
        self.required_dogs = abs(source.left_dogs - dest.left_dogs)
        self.boat_side = "left"
        if source.boat_side == "left":
            self.boat_side = "right"
        self.result_state = dest
        source.add_action(self)


start = State(3, 3, "left")  # Starting point
g31 = State(3, 1, "right")
g22 = State(2, 2, "right")
g32 = State(3, 2, "right")
Action(start, g31)
Action(start, g22)
Action(start, g32)

b32 = State(3, 2, "left")
g30 = State(3, 0, "right")
b31 = State(3, 1, "left")
g11 = State(1, 1, "right")
Action(g31, b32)
Action(g22, b32)
Action(b32, g30)
Action(g30, b31)
Action(b31, g11)

g01 = State(0, 1, "right")
b03 = State(0, 3, "left")
g02 = State(0, 2, "right")
b22 = State(2, 2, "left")
Action(g11, b22)
Action(b22, g02)
Action(g02, b03)
Action(b03, g01)

b02 = State(0, 2, "left")
b11 = State(1, 1, "left")
b01 = State(0, 1, "left")
Action(g01, b02)
Action(g01, b11)

end = State(0, 0, "right")
Action(b02, end)
Action(b11, end)
Action(b01, end)


def is_goal(state):
    return state.right_cats == 3 and state.right_dogs == 3