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Start working on day 19.

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Mikael CAPELLE 2022-12-19 13:51:32 +01:00
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# -*- encoding: utf-8 -*-
import heapq
import math
import sys
from collections import defaultdict
from typing import Literal, TypedDict
Reagent = Literal["ore", "clay", "obsidian", "geode"]
REAGENTS: tuple[Reagent] = (
"ore",
"clay",
"obsidian",
"geode",
)
IntOfReagent = dict[Reagent, int]
lines = sys.stdin.read().splitlines()
blueprints: list[dict[Reagent, IntOfReagent]] = [
{
"ore": {"ore": 4},
"clay": {"ore": 2},
"obsidian": {"ore": 3, "clay": 14},
"geode": {"ore": 2, "obsidian": 7},
},
{
"ore": {"ore": 2},
"clay": {"ore": 3},
"obsidian": {"ore": 3, "clay": 8},
"geode": {"ore": 3, "obsidian": 12},
},
]
class State:
robots: IntOfReagent
reagents: IntOfReagent
def __init__(
self,
robots: IntOfReagent | None = None,
reagents: IntOfReagent | None = None,
):
if robots is None:
assert reagents is None
self.reagents = {reagent: 0 for reagent in REAGENTS}
self.robots = {reagent: 0 for reagent in REAGENTS}
self.robots["ore"] = 1
else:
assert robots is not None and reagents is not None
self.robots = robots
self.reagents = reagents
def __eq__(self, other) -> bool:
return (
isinstance(other, State)
and self.robots == other.robots
and self.reagents == other.reagents
)
def __lt__(self, other) -> bool:
return isinstance(other, State) and tuple(
(self.robots[r], self.reagents[r]) for r in REAGENTS
) < tuple((other.robots[r], other.reagents[r]) for r in REAGENTS)
def __hash__(self) -> int:
return hash(tuple((self.robots[r], self.reagents[r]) for r in REAGENTS))
def __str__(self) -> str:
return "State({}, {})".format(
"/".join(str(self.robots[k]) for k in REAGENTS),
"/".join(str(self.reagents[k]) for k in REAGENTS),
)
def __repr__(self) -> str:
return str(self)
def dominates(lhs: State, rhs: State):
return all(
lhs.robots[r] >= rhs.robots[r] and lhs.reagents[r] >= rhs.reagents[r]
for r in REAGENTS
)
MAX_TIME = 24
blueprint = blueprints[0]
parents: dict[State, tuple[State | None, int]] = {State(): (None, 0)}
queue = [(0, State())]
visited: set[State] = set()
at_time: dict[int, list[State]] = defaultdict(lambda: [])
while queue:
time, state = heapq.heappop(queue)
if state in visited:
continue
visited.add(state)
# if any(dominates(state_3, state) for state_3 in at_time[time]):
# continue
at_time[time].append(state)
if time > MAX_TIME:
continue
if len(queue) % 500 == 0:
print(len(queue), len(visited), time)
can_build_any: bool = False
for reagent in REAGENTS:
needed = blueprint[reagent]
if any(state.robots[r] == 0 for r in needed):
continue
time_to_complete = max(
max(
math.ceil((needed[r] - state.reagents[r]) / state.robots[r])
for r in needed
),
0,
)
if time + time_to_complete + 1 > MAX_TIME:
continue
wait = time_to_complete + 1
reagents = {
r: state.reagents[r] + wait * state.robots[r] - needed.get(r, 0)
for r in REAGENTS
}
robots = state.robots.copy()
robots[reagent] += 1
state_2 = State(reagents=reagents, robots=robots)
print(time + wait)
if any(dominates(state_3, state_2) for state_3 in at_time[time + wait]):
continue
if state_2 not in parents or parents[state_2][1] > time + wait:
parents[state_2] = (state, time + wait)
heapq.heappush(queue, (time + wait, state_2))
can_build_any = True
if not can_build_any:
state_2 = State(
reagents={
r: state.reagents[r] + state.robots[r] * (MAX_TIME - time)
for r in REAGENTS
},
robots=state.robots,
)
if state_2 not in parents or parents[state_2][1] > time + wait:
parents[state_2] = (state, time + wait)
heapq.heappush(queue, (time + wait, state_2))
print(len(visited))
print(max(state.reagents["geode"] for state in visited))
exit()
while states:
state = states.pop()
processed.append(state)
if state.time > MAX_TIME:
continue
if len(states) % 100 == 0:
print(len(states), len(processed), min((s.time for s in states), default=1))
can_build_any: bool = False
for reagent in REAGENTS:
needed = blueprint[reagent]
if any(state.robots[r] == 0 for r in needed):
continue
time_to_complete = max(
max(
math.ceil((needed[r] - state.reagents[r]) / state.robots[r])
for r in needed
),
0,
)
if state.time + time_to_complete + 1 > MAX_TIME:
continue
wait = time_to_complete + 1
reagents = {
r: state.reagents[r] + wait * state.robots[r] - needed.get(r, 0)
for r in REAGENTS
}
robots = state.robots.copy()
robots[reagent] += 1
can_build_any = True
state_2 = State(time=state.time + wait, reagents=reagents, robots=robots)
# print(f"{state} -> {state_2}")
states.add(state_2)
if not any(dominates(s2, state_2) for s2 in states):
states.add(state)
# print(f"can build {reagent} in {time_to_complete}")
if not can_build_any:
states.add(
State(
time=MAX_TIME + 1,
reagents={
r: state.reagents[r] + state.robots[r] * (MAX_TIME - state.time)
for r in REAGENTS
},
robots=state.robots,
)
)
if len(states) % 1000 == 0:
print("filtering")
states = {
s1
for s1 in states
if not any(dominates(s2, s1) for s2 in states if s2 is not s1)
}
# if len(states) > 4:
# break
# break
print(len(processed))
print(max(state.reagents["geode"] for state in processed))
exit()
for t in range(1, 25):
states = set()
for state in state_after_t[t - 1]:
robots_that_can_be_built = [
robot
for robot in REAGENTS
if all(
state.reagents[reagent] >= blueprint[robot].get(reagent, 0)
for reagent in REAGENTS
)
]
new_states = set()
# new reagents
reagents = {
reagent: state.reagents[reagent] + state.robots[reagent]
for reagent in REAGENTS
}
# if we can build anything, there is no point in waiting
if len(robots_that_can_be_built) != len(REAGENTS):
new_states.add(State(robots=state.robots, reagents=reagents))
for robot in robots_that_can_be_built:
robots = state.robots.copy()
robots[robot] += 1
reagents = {
reagent: state.reagents[reagent]
+ state.robots[reagent]
- blueprint[robot].get(reagent, 0)
for reagent in REAGENTS
}
new_states.add(State(robots=robots, reagents=reagents))
new_states = [
s1
for s1 in new_states
if not any(s1 is not s2 and dominates(s2, s1) for s2 in new_states)
]
states = {
s1 for s1 in states if not any(dominates(s2, s1) for s2 in new_states)
}
states.update(new_states)
state_after_t[t] = states
exit()
for t in range(1, 25):
print(t, len(state_after_t[t - 1]))
state_after_t[t] = set()
bests_for_robots: dict[tuple[int, ...], set[State]] = {}
bests_for_reagents: dict[tuple[int, ...], set[State]] = {}
for state in state_after_t[t - 1]:
robots_that_can_be_built = [
robot
for robot in REAGENTS
if all(
state.reagents[reagent] >= blueprint[robot].get(reagent, 0)
for reagent in REAGENTS
)
]
# print(t, robots_that_can_be_built)
new_states: set[State] = set()
# new reagents
reagents = {
reagent: state.reagents[reagent] + state.robots[reagent]
for reagent in REAGENTS
}
# if we can build anything, there is no point in waiting
new_states.add(State(robots=state.robots, reagents=reagents, last=None))
for robot in robots_that_can_be_built:
if robot == state.last:
continue
robots = state.robots.copy()
robots[robot] += 1
reagents = {
reagent: state.reagents[reagent]
+ state.robots[reagent]
- blueprint[robot].get(reagent, 0)
for reagent in REAGENTS
}
new_states.add(State(robots=robots, reagents=reagents, last=robot))
for s1 in new_states:
r1 = tuple(s1.robots[r] for r in REAGENTS)
if r1 not in bests_for_robots:
bests_for_robots[r1] = {s1}
else:
is_dominated = False
for s2 in bests_for_robots[r1]:
if all(s2.reagents[r] >= s1.reagents[r] for r in REAGENTS):
is_dominated = True
break
if not is_dominated:
bests_for_robots[r1].add(s1)
r2 = tuple(s1.reagents[r] for r in REAGENTS)
if r2 not in bests_for_reagents:
bests_for_reagents[r2] = {s1}
else:
is_dominated = False
for s2 in bests_for_reagents[r2]:
if all(s2.robots[r] >= s1.robots[r] for r in REAGENTS):
is_dominated = True
break
if not is_dominated:
bests_for_reagents[r2].add(s1)
state_after_t[t] = set()
for bests in bests_for_robots.values():
dominated = [False for _ in range(len(bests))]
for i_s1, s1 in enumerate(bests):
if dominated[i_s1]:
continue
for i_s2, s2 in enumerate(bests):
if s1 is s2 or dominated[i_s2]:
continue
if all(s1.reagents[r] >= s2.reagents[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]
)
for bests in bests_for_reagents.values():
dominated = [False for _ in range(len(bests))]
for i_s1, s1 in enumerate(bests):
if dominated[i_s1]:
continue
for i_s2, s2 in enumerate(bests):
if s1 is s2 or dominated[i_s2]:
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]))

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Blueprint 1: Each ore robot costs 4 ore. Each clay robot costs 2 ore. Each obsidian robot costs 3 ore and 14 clay. Each geode robot costs 2 ore and 7 obsidian.
Blueprint 2: Each ore robot costs 2 ore. Each clay robot costs 3 ore. Each obsidian robot costs 3 ore and 8 clay. Each geode robot costs 3 ore and 12 obsidian.