417 lines
12 KiB
Python
417 lines
12 KiB
Python
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# -*- encoding: utf-8 -*-
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import heapq
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import math
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import sys
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from collections import defaultdict
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from typing import Literal, TypedDict
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Reagent = Literal["ore", "clay", "obsidian", "geode"]
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REAGENTS: tuple[Reagent] = (
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"ore",
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"clay",
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"obsidian",
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"geode",
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)
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IntOfReagent = dict[Reagent, int]
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lines = sys.stdin.read().splitlines()
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blueprints: list[dict[Reagent, IntOfReagent]] = [
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{
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"ore": {"ore": 4},
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"clay": {"ore": 2},
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"obsidian": {"ore": 3, "clay": 14},
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"geode": {"ore": 2, "obsidian": 7},
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},
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{
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"ore": {"ore": 2},
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"clay": {"ore": 3},
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"obsidian": {"ore": 3, "clay": 8},
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"geode": {"ore": 3, "obsidian": 12},
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},
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]
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class State:
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robots: IntOfReagent
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reagents: IntOfReagent
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def __init__(
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self,
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robots: IntOfReagent | None = None,
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reagents: IntOfReagent | None = None,
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):
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if robots is None:
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assert reagents is None
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self.reagents = {reagent: 0 for reagent in REAGENTS}
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self.robots = {reagent: 0 for reagent in REAGENTS}
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self.robots["ore"] = 1
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else:
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assert robots is not None and reagents is not None
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self.robots = robots
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self.reagents = reagents
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def __eq__(self, other) -> bool:
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return (
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isinstance(other, State)
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and self.robots == other.robots
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and self.reagents == other.reagents
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)
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def __lt__(self, other) -> bool:
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return isinstance(other, State) and tuple(
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(self.robots[r], self.reagents[r]) for r in REAGENTS
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) < tuple((other.robots[r], other.reagents[r]) for r in REAGENTS)
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def __hash__(self) -> int:
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return hash(tuple((self.robots[r], self.reagents[r]) for r in REAGENTS))
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def __str__(self) -> str:
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return "State({}, {})".format(
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"/".join(str(self.robots[k]) for k in REAGENTS),
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"/".join(str(self.reagents[k]) for k in REAGENTS),
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)
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def __repr__(self) -> str:
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return str(self)
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def dominates(lhs: State, rhs: State):
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return all(
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lhs.robots[r] >= rhs.robots[r] and lhs.reagents[r] >= rhs.reagents[r]
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for r in REAGENTS
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)
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MAX_TIME = 24
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blueprint = blueprints[0]
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parents: dict[State, tuple[State | None, int]] = {State(): (None, 0)}
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queue = [(0, State())]
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visited: set[State] = set()
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at_time: dict[int, list[State]] = defaultdict(lambda: [])
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while queue:
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time, state = heapq.heappop(queue)
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if state in visited:
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continue
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visited.add(state)
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# if any(dominates(state_3, state) for state_3 in at_time[time]):
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# continue
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at_time[time].append(state)
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if time > MAX_TIME:
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continue
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if len(queue) % 500 == 0:
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print(len(queue), len(visited), time)
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can_build_any: bool = False
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for reagent in REAGENTS:
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needed = blueprint[reagent]
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if any(state.robots[r] == 0 for r in needed):
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continue
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time_to_complete = max(
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max(
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math.ceil((needed[r] - state.reagents[r]) / state.robots[r])
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for r in needed
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),
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0,
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)
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if time + time_to_complete + 1 > MAX_TIME:
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continue
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wait = time_to_complete + 1
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reagents = {
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r: state.reagents[r] + wait * state.robots[r] - needed.get(r, 0)
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for r in REAGENTS
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}
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robots = state.robots.copy()
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robots[reagent] += 1
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state_2 = State(reagents=reagents, robots=robots)
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print(time + wait)
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if any(dominates(state_3, state_2) for state_3 in at_time[time + wait]):
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continue
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if state_2 not in parents or parents[state_2][1] > time + wait:
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parents[state_2] = (state, time + wait)
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heapq.heappush(queue, (time + wait, state_2))
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can_build_any = True
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if not can_build_any:
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state_2 = State(
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reagents={
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r: state.reagents[r] + state.robots[r] * (MAX_TIME - time)
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for r in REAGENTS
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},
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robots=state.robots,
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)
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if state_2 not in parents or parents[state_2][1] > time + wait:
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parents[state_2] = (state, time + wait)
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heapq.heappush(queue, (time + wait, state_2))
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print(len(visited))
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print(max(state.reagents["geode"] for state in visited))
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exit()
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while states:
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state = states.pop()
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processed.append(state)
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if state.time > MAX_TIME:
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continue
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if len(states) % 100 == 0:
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print(len(states), len(processed), min((s.time for s in states), default=1))
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can_build_any: bool = False
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for reagent in REAGENTS:
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needed = blueprint[reagent]
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if any(state.robots[r] == 0 for r in needed):
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continue
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time_to_complete = max(
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max(
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math.ceil((needed[r] - state.reagents[r]) / state.robots[r])
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for r in needed
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),
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0,
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)
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if state.time + time_to_complete + 1 > MAX_TIME:
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continue
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wait = time_to_complete + 1
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reagents = {
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r: state.reagents[r] + wait * state.robots[r] - needed.get(r, 0)
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for r in REAGENTS
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}
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robots = state.robots.copy()
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robots[reagent] += 1
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can_build_any = True
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state_2 = State(time=state.time + wait, reagents=reagents, robots=robots)
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# print(f"{state} -> {state_2}")
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states.add(state_2)
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if not any(dominates(s2, state_2) for s2 in states):
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states.add(state)
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# print(f"can build {reagent} in {time_to_complete}")
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if not can_build_any:
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states.add(
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State(
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time=MAX_TIME + 1,
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reagents={
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r: state.reagents[r] + state.robots[r] * (MAX_TIME - state.time)
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for r in REAGENTS
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},
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robots=state.robots,
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)
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)
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if len(states) % 1000 == 0:
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print("filtering")
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states = {
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s1
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for s1 in states
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if not any(dominates(s2, s1) for s2 in states if s2 is not s1)
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}
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# if len(states) > 4:
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# break
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# break
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print(len(processed))
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print(max(state.reagents["geode"] for state in processed))
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exit()
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for t in range(1, 25):
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states = set()
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for state in state_after_t[t - 1]:
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robots_that_can_be_built = [
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robot
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for robot in REAGENTS
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if all(
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state.reagents[reagent] >= blueprint[robot].get(reagent, 0)
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for reagent in REAGENTS
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)
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]
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new_states = set()
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# new reagents
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reagents = {
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reagent: state.reagents[reagent] + state.robots[reagent]
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for reagent in REAGENTS
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}
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# if we can build anything, there is no point in waiting
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if len(robots_that_can_be_built) != len(REAGENTS):
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new_states.add(State(robots=state.robots, reagents=reagents))
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for robot in robots_that_can_be_built:
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robots = state.robots.copy()
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robots[robot] += 1
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reagents = {
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reagent: state.reagents[reagent]
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+ state.robots[reagent]
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- blueprint[robot].get(reagent, 0)
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for reagent in REAGENTS
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}
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new_states.add(State(robots=robots, reagents=reagents))
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new_states = [
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s1
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for s1 in new_states
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if not any(s1 is not s2 and dominates(s2, s1) for s2 in new_states)
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]
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states = {
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s1 for s1 in states if not any(dominates(s2, s1) for s2 in new_states)
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}
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states.update(new_states)
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state_after_t[t] = states
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exit()
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for t in range(1, 25):
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print(t, len(state_after_t[t - 1]))
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state_after_t[t] = set()
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bests_for_robots: dict[tuple[int, ...], set[State]] = {}
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bests_for_reagents: dict[tuple[int, ...], set[State]] = {}
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for state in state_after_t[t - 1]:
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robots_that_can_be_built = [
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robot
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for robot in REAGENTS
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if all(
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state.reagents[reagent] >= blueprint[robot].get(reagent, 0)
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for reagent in REAGENTS
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)
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]
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# print(t, robots_that_can_be_built)
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new_states: set[State] = set()
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# new reagents
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reagents = {
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reagent: state.reagents[reagent] + state.robots[reagent]
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for reagent in REAGENTS
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}
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# if we can build anything, there is no point in waiting
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new_states.add(State(robots=state.robots, reagents=reagents, last=None))
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for robot in robots_that_can_be_built:
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if robot == state.last:
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continue
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robots = state.robots.copy()
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robots[robot] += 1
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reagents = {
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reagent: state.reagents[reagent]
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+ state.robots[reagent]
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- blueprint[robot].get(reagent, 0)
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for reagent in REAGENTS
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}
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new_states.add(State(robots=robots, reagents=reagents, last=robot))
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for s1 in new_states:
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r1 = tuple(s1.robots[r] for r in REAGENTS)
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if r1 not in bests_for_robots:
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bests_for_robots[r1] = {s1}
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else:
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is_dominated = False
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for s2 in bests_for_robots[r1]:
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if all(s2.reagents[r] >= s1.reagents[r] for r in REAGENTS):
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is_dominated = True
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break
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if not is_dominated:
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bests_for_robots[r1].add(s1)
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r2 = tuple(s1.reagents[r] for r in REAGENTS)
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if r2 not in bests_for_reagents:
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bests_for_reagents[r2] = {s1}
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else:
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is_dominated = False
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for s2 in bests_for_reagents[r2]:
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if all(s2.robots[r] >= s1.robots[r] for r in REAGENTS):
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is_dominated = True
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break
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if not is_dominated:
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bests_for_reagents[r2].add(s1)
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state_after_t[t] = set()
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for bests in bests_for_robots.values():
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dominated = [False for _ in range(len(bests))]
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for i_s1, s1 in enumerate(bests):
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if dominated[i_s1]:
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continue
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for i_s2, s2 in enumerate(bests):
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if s1 is s2 or dominated[i_s2]:
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continue
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if all(s1.reagents[r] >= s2.reagents[r] for r in REAGENTS):
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dominated[i_s2] = True
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state_after_t[t].update(
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s1 for i_s1, s1 in enumerate(bests) if not dominated[i_s1]
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)
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for bests in bests_for_reagents.values():
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dominated = [False for _ in range(len(bests))]
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for i_s1, s1 in enumerate(bests):
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if dominated[i_s1]:
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continue
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for i_s2, s2 in enumerate(bests):
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if s1 is s2 or dominated[i_s2]:
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|
continue
|
||
|
|
if all(s1.robots[r] >= s2.robots[r] for r in REAGENTS):
|
||
|
|
dominated[i_s2] = True
|
||
|
|
state_after_t[t].update(
|
||
|
|
s1 for i_s1, s1 in enumerate(bests) if not dominated[i_s1]
|
||
|
|
)
|
||
|
|
|
||
|
|
# dominated = [False for _ in range(len(state_after_t[t]))]
|
||
|
|
# print(t, "->", len(state_after_t[t]))
|
||
|
|
# for i_s1, s1 in enumerate(state_after_t[t]):
|
||
|
|
# if dominated[i_s1]:
|
||
|
|
# continue
|
||
|
|
# for i_s2, s2 in enumerate(state_after_t[t]):
|
||
|
|
# if s1 is s2 or dominated[i_s2]:
|
||
|
|
# continue
|
||
|
|
# if all(s1.robots[r] >= s2.robots[r] for r in REAGENTS) and all(
|
||
|
|
# s1.reagents[r] >= s2.reagents[r] for r in REAGENTS
|
||
|
|
# ):
|
||
|
|
# dominated[i_s2] = True
|
||
|
|
|
||
|
|
# state_after_t[t] = {
|
||
|
|
# s1 for i_s1, s1 in enumerate(state_after_t[t]) if not dominated[i_s1]
|
||
|
|
# }
|
||
|
|
|
||
|
|
# print(len(state_after_t[t]))
|
||
|
|
# print(sum(dominated))
|
||
|
|
# break
|
||
|
|
|
||
|
|
print(max(state.reagents["geode"] for state in state_after_t[24]))
|