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Day 20: Pulse Propagation
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ephemient committed Dec 20, 2023
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1 change: 1 addition & 0 deletions README.md
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Expand Up @@ -24,3 +24,4 @@ Development occurs in language-specific directories:
|[Day17.hs](hs/src/Day17.hs)|[Day17.kt](kt/aoc2023-lib/src/commonMain/kotlin/com/github/ephemient/aoc2023/Day17.kt)|[day17.py](py/aoc2023/day17.py)|[day17.rs](rs/src/day17.rs)|
|[Day18.hs](hs/src/Day18.hs)|[Day18.kt](kt/aoc2023-lib/src/commonMain/kotlin/com/github/ephemient/aoc2023/Day18.kt)|[day18.py](py/aoc2023/day18.py)|[day18.rs](rs/src/day18.rs)|
|[Day19.hs](hs/src/Day19.hs)|[Day19.kt](kt/aoc2023-lib/src/commonMain/kotlin/com/github/ephemient/aoc2023/Day19.kt)|[day19.py](py/aoc2023/day19.py)|[day19.rs](rs/src/day19.rs)|
|[Day20.hs](hs/src/Day20.hs)||||
6 changes: 4 additions & 2 deletions hs/aoc2023.cabal
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Expand Up @@ -39,7 +39,8 @@ library
Day16,
Day17,
Day18,
Day19
Day19,
Day20

-- Modules included in this library but not exported.
other-modules:
Expand Down Expand Up @@ -109,7 +110,8 @@ test-suite aoc2023-test
Day16Spec,
Day17Spec,
Day18Spec,
Day19Spec
Day19Spec,
Day20Spec
build-depends:
aoc2023,
base ^>=4.17.2.0,
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2 changes: 2 additions & 0 deletions hs/app/Main.hs
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Expand Up @@ -20,6 +20,7 @@ import qualified Day16 (part1, part2)
import qualified Day17 (part1, part2)
import qualified Day18 (part1, part2)
import qualified Day19 (part1, part2)
import qualified Day20 (part1, part2)

import Control.Monad (ap, when)
import Data.Foldable (find)
Expand Down Expand Up @@ -69,3 +70,4 @@ main = do
run 17 (maybe (fail "error") print) [Day17.part1, Day17.part2]
run 18 (either (fail . errorBundlePretty) print) [Day18.part1, Day18.part2]
run 19 (either (fail . errorBundlePretty) print) [Day19.part1, Day19.part2]
run 20 (either (fail . errorBundlePretty) $ maybe (fail "error") print) [fmap Just . Day20.part1, Day20.part2]
5 changes: 5 additions & 0 deletions hs/bench/Main.hs
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Expand Up @@ -25,6 +25,7 @@ import qualified Day16 (part1, part2)
import qualified Day17 (part1, part2)
import qualified Day18 (part1, part2)
import qualified Day19 (part1, part2)
import qualified Day20 (part1, part2)
import System.Environment.Blank (getEnv, setEnv, unsetEnv)
import System.FilePath (combine)

Expand Down Expand Up @@ -118,4 +119,8 @@ main = defaultMain
[ bench "part 1" $ nf Day19.part1 input
, bench "part 2" $ nf Day19.part2 input
]
, env (getDayInput 20) $ \input -> bgroup "Day 20"
[ bench "part 1" $ nf Day20.part1 input
, bench "part 2" $ nf Day20.part2 input
]
]
97 changes: 97 additions & 0 deletions hs/src/Day20.hs
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@@ -0,0 +1,97 @@
{-|
Module: Day20
Description: <https://adventofcode.com/2023/day/20 Day 20: Pulse Propagation>
-}
{-# LANGUAGE OverloadedStrings, TransformListComp, ViewPatterns #-}
module Day20 (part1, part2) where

import Control.Monad (forM_, guard, when)
import Control.Monad.State (evalStateT, get, put)
import Control.Monad.Writer (execWriterT, runWriter, tell)
import Data.Char (isAlphaNum)
import Data.Functor (($>))
import Data.List (foldl', scanl', tails)
import Data.Map (Map)
import qualified Data.Map as Map ((!?), empty, findWithDefault, fromList, fromListWith, fromSet, insert, keys, mapMaybeWithKey, notMember, toList, restrictKeys)
import Data.Maybe (listToMaybe, maybeToList)
import Data.Monoid (Any(Any), Last(Last), Sum(Sum))
import qualified Data.Sequence as Seq (Seq((:<|)), fromList)
import Data.Set (Set)
import qualified Data.Set as Set (insert, intersection, member, singleton, toList)
import Data.String (IsString)
import Data.Text (Text)
import Data.Void (Void)
import Text.Megaparsec (MonadParsec, ParseErrorBundle, Stream, Token, Tokens, (<|>), parse, sepBy, sepEndBy, takeWhile1P)
import Text.Megaparsec.Char (char, newline, string)

parser :: (MonadParsec e s m, IsString (Tokens s), Token s ~ Char) => m (Map (Tokens s) [Tokens s], Map (Tokens s) (Set (Tokens s)), Map (Tokens s) (Either Bool (Map (Tokens s) Bool)))
parser = do
let word = takeWhile1P Nothing isAlphaNum
line = do
state <- char '%' $> Just False <|> char '&' $> Just True <|> pure Nothing
src <- word
dsts <- string " -> " *> word `sepBy` string ", "
pure (src, (dsts, state))
modules <- Map.fromList <$> line `sepEndBy` newline
let rmodules = Map.fromListWith (<>)
[(dst, Set.singleton src) | (src, (dsts, _)) <- Map.toList modules, dst <- dsts]
f _ (_, Nothing) = Nothing
f _ (_, Just False) = Just $ Left False
f key (_, Just True) = Just . Right . Map.fromSet (const False) $
Map.findWithDefault mempty key rmodules
pure (fst <$> modules, rmodules, Map.mapMaybeWithKey f modules)

pulse :: (Monad m, Ord a) => ((a, a, Bool) -> m ()) -> Map a [a] -> [(a, a, Bool)] -> Map a (Either Bool (Map a Bool)) -> m (Map a (Either Bool (Map a Bool)))
pulse f modules pulses = pulse' (Seq.fromList pulses) where
pulse' (p@(src, dst, a) Seq.:<| seq) state = f p >> case state Map.!? dst of
Just (Left _) | a -> pulse' seq state
Just (Left (not -> b)) -> pulse' (seq' b) $ Map.insert dst (Left b) state
Just (Right (Map.insert src a -> b)) ->
pulse' (seq' . not $ and b) $ Map.insert dst (Right b) state
Nothing -> pulse' (seq' a) state
where seq' b = seq <> Seq.fromList [(dst, dst', b) | dst' <- Map.findWithDefault [] dst modules]
pulse' _ state = pure state

buttonPulses :: [(Text, Text, Bool)]
buttonPulses = [("button", "broadcaster", False)]

part1 :: Text -> Either (ParseErrorBundle Text Void) Int
part1 input = do
(modules, _, state0) <- parse parser "" input
let f (_, _, False) = tell (Sum 1, Sum 0)
f (_, _, True) = tell (Sum 0, Sum 1)
(Sum x, Sum y) <- execWriterT . flip evalStateT state0 . forM_ [1..1000] . const $
get >>= pulse f modules buttonPulses >>= put
pure $ x * y

part2 :: Text -> Either (ParseErrorBundle Text Void) (Maybe Int)
part2 input = do
(modules, rmodules, state0) <- parse parser "" input
let bfs visited key
| key `Set.member` visited = visited
| otherwise = foldl' bfs (Set.insert key visited) $
Map.findWithDefault mempty key rmodules
cycle (dst, subset) = do
let f (_, dst', a) = when (dst' == dst) $ tell (Any a, Last $ Just a)
modules' = modules `Map.restrictKeys` subset
state0' = state0 `Map.restrictKeys` subset
states = iterate (runWriter . pulse f modules' buttonPulses . fst) (state0', mempty)
(1, size, Just True) <- listToMaybe
[ (j, i - j, lastOutput)
| let states' = [state | (state, (Any true, _)) <- states, then takeWhile by not true]
, (i, (state, (_, Last lastOutput)), m) <- zip3 [0..] states $
scanl' (flip $ uncurry Map.insert) mempty $ zip (fst <$> states) [0..]
, j <- maybeToList $ m Map.!? state
]
pure size
pure $ do
guard $ "rx" `Map.notMember` state0
[inv] <- Set.toList <$> rmodules Map.!? "rx"
Right (Map.keys -> dsts) <- state0 Map.!? inv
let subsets = bfs mempty <$> dsts
guard $ and
[ s0 `Set.intersection` s1 == Set.singleton "broadcaster"
| s0:subsets' <- tails subsets
, s1 <- subsets'
]
foldl' lcm 1 <$> mapM cycle (zip dsts subsets)
34 changes: 34 additions & 0 deletions hs/test/Day20Spec.hs
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{-# LANGUAGE OverloadedStrings #-}
module Day20Spec (spec) where

import Data.Text (Text)
import qualified Data.Text as T (unlines)
import Day20 (part1)
import Test.Hspec (Spec, describe, it, pendingWith, shouldBe)

example1, example2 :: Text
example1 = T.unlines
[ -- :r!wl-paste | sed 's/.*/ , "&"/;1s/,/ /'
"broadcaster -> a, b, c"
, "%a -> b"
, "%b -> c"
, "%c -> inv"
, "&inv -> a"
]
example2 = T.unlines
[ "broadcaster -> a"
, "%a -> inv, con"
, "&inv -> b"
, "%b -> con"
, "&con -> output"
]

spec :: Spec
spec = do
describe "part 1" $ do
it "examples" $ do
part1 example1 `shouldBe` Right 32000000
part1 example2 `shouldBe` Right 11687500
describe "part 2" $ do
it "examples" $ do
pendingWith "No examples provided"

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