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aoc2023/d20.py

110 lines
3.0 KiB
Python

from lib import *
from math import lcm
from collections import deque
EXAMPLE = """
broadcaster -> a, b, c
%a -> b
%b -> c
%c -> inv
&inv -> a
"""
EXAMPLE2 = """
broadcaster -> a
%a -> inv, con
&inv -> b
%b -> con
&con -> output
"""
def visualize(modules):
with open("g20.dot", 'w') as f:
f.write("digraph G {\n")
for m in modules.values():
for cm in m[3]:
f.write(" " + m[1] + ' -> ' + cm + "\n")
f.write("}")
def solve(input: Input, second=False):
modules = {}
for line in input.lines():
if not line: continue
src, dsts = line.split(" -> ")
dsts = dsts.split(", ")
if src.startswith("%"): # flip-flop
modules[src[1:]] = [src[0], src[1:], 0, dsts]
elif src.startswith("&"): # conjunction
modules[src[1:]] = [src[0], src[1:], {}, dsts]
elif src.startswith("broadcaster"):
modules[src] = ["b", src, 0, dsts]
else:
raise Exception()
for m in modules.values():
for d in m[3]:
if d in modules and modules[d][0] == "&":
modules[d][2][m[1]] = 0
if second:
# visualize(modules)
(feed,) = [m[1] for m in modules.values() if "rx" in m[3]]
periods = {d: [] for d in modules[feed][2].keys()}
BUTTON_PUSHES = 10000
else:
BUTTON_PUSHES = 1000
lo, hi = 0, 0
for i in range(BUTTON_PUSHES):
qs = deque([("button module", "broadcaster", 0)])
while qs:
src, dst, sig = qs.popleft()
if sig == 0:
lo += 1
else:
hi += 1
if not dst in modules:
continue
m = modules[dst]
new_pulse = None
if m[0] == "b":
new_pulse = 0
elif m[0] == "%":
if sig == 0:
m[2] = (m[2] + 1) % 2
new_pulse = m[2]
elif m[0] == "&":
m[2][src] = sig
if all(s == 1 for s in m[2].values()):
new_pulse = 0
else:
new_pulse = 1
else:
raise Exception()
if new_pulse is not None:
for nxtdst in m[3]:
if second and nxtdst == feed and new_pulse == 1:
# print(f"{i:>4}: {dst[:4]:>4} -{new_pulse}> {nxtdst}")
periods[dst].append(i)
qs.append((dst, nxtdst, new_pulse))
if second:
# print(periods)
# Yeah, we got a bit lucky that this works, I guess, but it does.
return lcm(*[v[1] - v[0] for v in periods.values()])
return lo * hi
def main():
DAY_INPUT = "i20.txt"
print("Example 1:", solve(Input(EXAMPLE)))
print("Example 2:", solve(Input(EXAMPLE2)))
print("Solution 1:", solve(Input(DAY_INPUT)))
print("Solution 2:", solve(Input(DAY_INPUT), True))
assert solve(Input(DAY_INPUT), True) == 244178746156661
if __name__ == "__main__":
main()