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Ok so this is a little weird. My code for task1 is attached to this comment, but I actually solved task2 by hand.
After checking that bruteforce indeed takes longer than a second, I plotted the graph just to see what was going on, and you can immediately tell that the result is the least common multiple of four numbers, which can easily be obtained by running task1 with a debugger, and maybe read directly from the graph as well.
I also pre-broke my include statements, so hopefully the XSS protection isn't completely removing them again.
Another least common multiple problem. I kinda don't like these, as it's not practical to solve them purely with code that operates on arbitrary inputs.
import collections
import math
import re
from .solver import Solver
class Day20(Solver):
modules: dict[str, tuple[str, list[str]]]
conjunction_inputs: dict[str, set[str]]
def __init__(self):
super().__init__(20)
def presolve(self, input: str):
self.modules = {}
self.conjunction_inputs = collections.defaultdict(set)
for line in input.splitlines():
m = re.fullmatch(r'(\W?)(\w+) -> (.*)', line)
assert m
kind, name, destinations = m.groups()
self.modules[name] = (kind, destinations.split(', '))
for source, (_, destinations) in self.modules.items():
for destination, (kind, _) in ((d, self.modules[d]) for d in destinations if d in self.modules):
if kind == '&':
self.conjunction_inputs[destination].add(source)
def _press_button(self, flip_flops_on: set[str],
conjunction_high_pulses: dict[str, set[str]]) -> tuple[list[str], list[str]]:
low_pulses: list[str] = []
high_pulses: list[str] = []
pulse: list[tuple[str, str, int]] = [('', 'broadcaster', 0)]
while pulse:
origin, source, value = pulse.pop(0)
if value == 0:
low_pulses.append(source)
else:
high_pulses.append(source)
if source not in self.modules:
continue
kind, destinations = self.modules[source]
if source == 'broadcaster':
for d in destinations:
pulse.append((source, d, value))
elif kind == '%' and value == 0:
if source in flip_flops_on:
flip_flops_on.remove(source)
for d in destinations:
pulse.append((source, d, 0))
else:
flip_flops_on.add(source)
for d in destinations:
pulse.append((source, d, 1))
elif kind == '&':
if value:
conjunction_high_pulses[source].add(origin)
elif origin in conjunction_high_pulses[source]:
conjunction_high_pulses[source].remove(origin)
if conjunction_high_pulses[source] == self.conjunction_inputs[source]:
for d in destinations:
pulse.append((source, d, 0))
else:
for d in destinations:
pulse.append((source, d, 1))
return low_pulses, high_pulses
def solve_first_star(self) -> int:
flip_flops_on = set()
conjunction_high_pulses = collections.defaultdict(set)
low_pulse_count = 0
high_pulse_count = 0
for _ in range(1000):
low, high = self._press_button(flip_flops_on, conjunction_high_pulses)
low_pulse_count += len(low)
high_pulse_count += len(high)
return low_pulse_count* high_pulse_count
def solve_second_star(self) -> int:
flip_flops_on = set()
conjunction_high_pulses = collections.defaultdict(set)
button_count = 0
rx_upstream = [module for module, (_, destinations) in self.modules.items() if 'rx' in destinations]
if len(rx_upstream) != 1:
rx_upstream = []
else:
rx_upstream = [module for module, (_, destinations) in self.modules.items() if rx_upstream[0] in destinations]
rx_upstream_periods = [None] * len(rx_upstream)
low_pulses = []
while 'rx' not in low_pulses and (not rx_upstream or not all(rx_upstream_periods)):
button_count += 1
low_pulses, _ = self._press_button(flip_flops_on, conjunction_high_pulses)
for module, periods in zip(rx_upstream, rx_upstream_periods, strict=True):
if periods is not None:
continue
if module in low_pulses:
rx_upstream_periods[rx_upstream.index(module)] = button_count
if 'rx' in low_pulses:
return button_count
return math.lcm(*rx_upstream_periods)