day 16 much, much quicker
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parent
d02d8190f0
commit
eb12a799fd
3 changed files with 164 additions and 128 deletions
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@ -39,19 +39,28 @@ class RawValve(NamedTuple):
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return valve_parser.parse(line).get()
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@dataclass(slots=True, unsafe_hash=True)
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@dataclass(slots=True)
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class Valve:
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name: str
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flow_rate: int
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following: list[Valve] = field(hash=False, compare=False)
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paths: dict[str, int] = field(default_factory=dict, hash=False, init=False, compare=False)
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following: list[Valve]
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paths: dict[str, int] = field(default_factory=dict, init=False)
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def __eq__(self, other: object) -> bool:
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if not isinstance(other, Valve):
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return False
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return self.name == other.name
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def __hash__(self) -> int:
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return hash(self.name)
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def __lt__(self, other: Valve) -> bool:
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return self.name < other.name
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def __repr__(self) -> str:
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return f"{self.name}:{self.flow_rate}->{','.join(v.name for v in self.following)}"
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def travel_time(self, to: str) -> int:
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if not self.paths:
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self.create_paths()
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return self.paths[to]
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def create_paths(self):
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@ -75,116 +84,120 @@ class Valve:
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class Actor(NamedTuple):
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position: Valve
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next_time: int
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finished: bool
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class SystemInfo(NamedTuple):
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max_pressure: int
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min_pressure: int
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closed_vales: frozenset[Valve]
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opening: frozenset[Valve]
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@property
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def finished(self) -> bool:
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return self.next_time <= 0
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@dataclass(slots=True, frozen=True, kw_only=True)
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class SystemProgress(ABC):
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max_time: int
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prev_time: int
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time: int
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pressure: int
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flow_rate: int
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closed_valves: frozenset[Valve]
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closed_valves: list[Valve]
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def one_actor(self, actor: Actor) -> Iterator[Actor]:
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if actor.finished or actor.next_time != self.time:
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def next_steps_for(self, actor: Actor) -> Iterator[Actor]:
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if actor.next_time != self.time:
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yield actor
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elif not self.closed_valves:
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yield Actor(actor.position, self.max_time, True)
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else:
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reached_any_target = False
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for target in self.closed_valves:
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finished = self.time + actor.position.travel_time(target.name) + 1
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if finished < self.max_time:
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next_time = self.time - (actor.position.travel_time(target.name) + 1)
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if next_time > 0:
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reached_any_target = True
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yield Actor(target, finished, False)
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yield Actor(target, next_time)
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if not reached_any_target:
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yield Actor(actor.position, self.max_time, True)
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yield Actor(actor.position, 0)
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@classmethod
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def create(cls, max_time: int,
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closed_valves: frozenset[Valve], start: Valve,
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def create(cls, run_time: int,
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valves: dict[str, Valve], start: str,
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num_actors: Literal[1] | Literal[2]) -> SystemProgress:
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closed_valves = list(sorted(valve for valve in valves.values() if valve.flow_rate > 0))
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start_valve = valves[start]
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for valve in valves.values():
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if valve.name == start or valve.flow_rate > 0:
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valve.create_paths()
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match num_actors:
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case 1:
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return OneActorProgress(max_time=max_time,
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prev_time=0,
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time=0,
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return OneActorProgress(time=run_time,
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pressure=0,
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flow_rate=0,
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closed_valves=closed_valves,
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actor=Actor(start, 0, False))
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actor=Actor(start_valve, run_time))
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case 2:
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return TwoActorProgress(max_time=max_time,
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prev_time=0,
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time=0,
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return TwoActorProgress(time=run_time,
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pressure=0,
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flow_rate=0,
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closed_valves=closed_valves,
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actor1=Actor(start, 0, False),
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actor2=Actor(start, 0, False))
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actor1=Actor(start_valve, run_time),
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actor2=Actor(start_valve, run_time))
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case _:
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assert False, "Unreachable"
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def __lt__(self, other: OneActorProgress) -> bool:
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if self.time != other.time:
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return self.time < other.time
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return self.pressure > other.pressure
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return self.time > other.time
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return self.min_potential_pressure() > other.min_potential_pressure()
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@abstractmethod
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def open_valves(self) -> Iterator[SystemProgress]:
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...
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@abstractmethod
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def get_info(self) -> SystemInfo:
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def info(self) -> str:
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...
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@abstractmethod
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def min_potential_pressure(self) -> int:
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...
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@abstractmethod
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def still_possible(self) -> int:
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...
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def max_potential_pressure(self) -> int:
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return self.min_potential_pressure() + self.still_possible()
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@dataclass(slots=True, frozen=True)
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class OneActorProgress(SystemProgress):
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actor: Actor
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def get_info(self) -> SystemInfo:
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return SystemInfo(
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min_pressure=self.min_possible_pressure(),
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max_pressure=self.max_possible_pressure(),
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closed_vales=self.closed_valves,
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opening=frozenset()
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)
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def min_potential_pressure(self) -> int:
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return self.pressure + self.flow_rate * self.time
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def min_possible_pressure(self) -> int:
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return self.pressure + self.flow_rate * (self.max_time - self.time)
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def max_possible_pressure(self) -> int:
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closed = sum(valve.flow_rate for valve in self.closed_valves)
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return self.pressure + (self.flow_rate + closed) * (self.max_time - self.time)
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def still_possible(self) -> int:
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result = 0
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for valve in self.closed_valves:
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time = self.actor.position.travel_time(valve.name) + 1
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if self.time > time:
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result += (self.time - time) * valve.flow_rate
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return result
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def open_valves(self) -> Iterator[SystemProgress]:
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for actor in self.one_actor(self.actor):
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closed_valves = self.closed_valves
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for actor in self.next_steps_for(self.actor):
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closed_valves = self.closed_valves.copy()
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if not actor.finished:
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closed_valves = closed_valves.difference({actor.position})
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closed_valves.remove(actor.position)
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flow_rate = self.flow_rate + actor.position.flow_rate
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else:
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flow_rate = self.flow_rate
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next = OneActorProgress(
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max_time=self.max_time,
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prev_time=self.time,
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yield OneActorProgress(
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time=actor.next_time,
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flow_rate=flow_rate,
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pressure=self.pressure + self.flow_rate * (actor.next_time - self.time),
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pressure=self.pressure + self.flow_rate * (self.time - actor.next_time),
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closed_valves=closed_valves,
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actor=actor,
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)
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yield next
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def info(self) -> str:
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return ",".join(valve.name for valve in self.closed_valves)
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@dataclass(slots=True, frozen=True)
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@ -192,72 +205,70 @@ class TwoActorProgress(SystemProgress):
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actor1: Actor
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actor2: Actor
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def get_info(self) -> SystemInfo:
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opening: set[Valve] = set()
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if self.actor1.next_time != self.time and not self.actor1.finished:
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opening.add(self.actor1.position)
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if self.actor2.next_time != self.time and not self.actor2.finished:
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opening.add(self.actor2.position)
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return SystemInfo(
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min_pressure=self.min_possible_pressure(),
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max_pressure=self.max_possible_pressure(),
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closed_vales=self.closed_valves,
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opening=frozenset(opening)
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)
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def min_possible_pressure(self) -> int:
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pressure = self.pressure + self.flow_rate * (self.max_time - self.time)
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if self.actor1.next_time != self.time and not self.actor1.finished:
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pressure += self.actor1.position.flow_rate * (self.max_time - self.actor1.next_time)
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if self.actor2.next_time != self.time and not self.actor2.finished:
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pressure += self.actor2.position.flow_rate * (self.max_time - self.actor2.next_time)
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def min_potential_pressure(self) -> int:
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pressure = self.pressure + self.flow_rate * self.time
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if self.actor1.next_time != self.time:
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pressure += self.actor1.position.flow_rate * self.actor1.next_time
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if self.actor2.next_time != self.time:
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pressure += self.actor2.position.flow_rate * self.actor2.next_time
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return pressure
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def max_possible_pressure(self) -> int:
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closed = sum(valve.flow_rate for valve in self.closed_valves)
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pressure = self.pressure + (self.flow_rate + closed) * (self.max_time - self.time)
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if self.actor1.next_time != self.time and not self.actor1.finished:
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pressure += self.actor1.position.flow_rate * (self.max_time - self.actor1.next_time)
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if self.actor2.next_time != self.time and not self.actor2.finished:
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pressure += self.actor2.position.flow_rate * (self.max_time - self.actor2.next_time)
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return pressure
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def still_possible(self) -> int:
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result = 0
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for valve in self.closed_valves:
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t1 = self.actor1.position.travel_time(valve.name)
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t2 = self.actor2.position.travel_time(valve.name)
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time = min(t1, t2) + 1
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if self.time > time:
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result += (self.time - time) * valve.flow_rate
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return result
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def open_valves(self) -> Iterator[SystemProgress]:
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actor1_actions = self.one_actor(self.actor1)
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actor2_actions = self.one_actor(self.actor2)
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actor1_actions = self.next_steps_for(self.actor1)
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actor2_actions = self.next_steps_for(self.actor2)
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for actor1, actor2 in product(actor1_actions, actor2_actions):
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if not actor1.finished and not actor2.finished and actor1.position == actor2.position:
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if actor1.position == actor2.position:
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continue
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closed_valves = self.closed_valves
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flow_rate = self.flow_rate
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next_time = min(actor1.next_time, actor2.next_time)
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closed_valves = self.closed_valves.copy()
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next_time = max(actor1.next_time, actor2.next_time, 0)
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if not actor1.finished:
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closed_valves = closed_valves.difference({actor1.position})
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flow_rate = self.flow_rate
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if next_time > 0:
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if actor1.position in closed_valves:
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closed_valves.remove(actor1.position)
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if actor1.next_time == next_time:
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flow_rate += actor1.position.flow_rate
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if not actor2.finished:
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closed_valves = closed_valves.difference({actor2.position})
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if actor2.position in closed_valves:
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closed_valves.remove(actor2.position)
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if actor2.next_time == next_time:
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flow_rate += actor2.position.flow_rate
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next = TwoActorProgress(
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max_time=self.max_time,
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prev_time=self.time,
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time=next_time,
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flow_rate=flow_rate,
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pressure=self.pressure + self.flow_rate * (next_time - self.time),
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pressure=self.pressure + self.flow_rate * (self.time - next_time),
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closed_valves=closed_valves,
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actor1=actor1,
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actor2=actor2,
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)
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yield next
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def info(self) -> str:
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opening = ""
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if self.actor1.next_time != self.time:
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opening = self.actor1.position.name
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if self.actor2.next_time != self.time:
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opening = self.actor2.position.name
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closed = ",".join(valve.name for valve in self.closed_valves)
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if opening:
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return f"{closed}+{opening}"
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else:
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return closed
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@dataclass(slots=True)
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class Network:
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@ -276,26 +287,37 @@ class Network:
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return Network(valves)
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def under_pressure(self, minutes: int, number_actors: Literal[1] | Literal[2]) -> int:
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closed_valves = [valve for valve in self.valves.values() if valve.flow_rate > 0]
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start = self.valves["AA"]
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queue: PriorityQueue[SystemProgress] = PriorityQueue()
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queue.put(SystemProgress.create(
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max_time=minutes,
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closed_valves=frozenset(closed_valves),
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start=start,
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run_time=minutes,
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valves=self.valves,
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start="AA",
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num_actors=number_actors
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))
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min_pressure = 0
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known_systems: set[SystemInfo] = set()
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known: dict[str, int] = {}
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ticks = 0
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drop_known = 0
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drop_pressure = 0
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while not queue.empty():
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ticks += 1
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current = queue.get()
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if current.time == minutes:
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if current.time == 0:
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print(f"{ticks=} {drop_known=} {drop_pressure=} {len(known)=}")
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return current.pressure
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info = current.get_info()
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if min_pressure > info.max_pressure or info in known_systems:
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info = current.info()
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prev_pressure = known.get(info)
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if prev_pressure is not None and prev_pressure >= current.pressure:
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drop_known += 1
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continue
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known_systems.add(info)
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min_pressure = max(min_pressure, info.min_pressure)
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known[info] = current.pressure
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if min_pressure > current.max_potential_pressure():
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drop_pressure += 1
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continue
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min_pressure = max(min_pressure, current.min_potential_pressure())
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min_pressure = min_pressure
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for next in current.open_valves():
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queue.put(next)
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