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day 15

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HeNine 2 years ago
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29
aoc2022.cabal
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@ -345,4 +345,33 @@ test-suite day13aoctest
, parsec , parsec
, split , split
ghc-options: -threaded -rtsopts -with-rtsopts=-N ghc-options: -threaded -rtsopts -with-rtsopts=-N
default-language: Haskell2010
-- Day 15
test-suite day15basictest
type: exitcode-stdio-1.0
hs-source-dirs: src/day15/test, src/day15
main-is: Basic.hs
other-modules:
Day15Lib
build-depends: base
, HUnit
, parsec
, containers
ghc-options: -threaded -rtsopts -with-rtsopts=-N
default-language: Haskell2010
test-suite day15aoctest
type: exitcode-stdio-1.0
hs-source-dirs: src/day15/test, src/day15
main-is: AoCTest.hs
other-modules:
Day15Lib
build-depends: base
, HUnit
, parsec
, containers
ghc-options: -threaded -rtsopts -with-rtsopts=-N
default-language: Haskell2010 default-language: Haskell2010

14
data/input150.txt
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Sensor at x=2, y=18: closest beacon is at x=-2, y=15
Sensor at x=9, y=16: closest beacon is at x=10, y=16
Sensor at x=13, y=2: closest beacon is at x=15, y=3
Sensor at x=12, y=14: closest beacon is at x=10, y=16
Sensor at x=10, y=20: closest beacon is at x=10, y=16
Sensor at x=14, y=17: closest beacon is at x=10, y=16
Sensor at x=8, y=7: closest beacon is at x=2, y=10
Sensor at x=2, y=0: closest beacon is at x=2, y=10
Sensor at x=0, y=11: closest beacon is at x=2, y=10
Sensor at x=20, y=14: closest beacon is at x=25, y=17
Sensor at x=17, y=20: closest beacon is at x=21, y=22
Sensor at x=16, y=7: closest beacon is at x=15, y=3
Sensor at x=14, y=3: closest beacon is at x=15, y=3
Sensor at x=20, y=1: closest beacon is at x=15, y=3

33
data/input151.txt
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Sensor at x=2302110, y=2237242: closest beacon is at x=2348729, y=1239977
Sensor at x=47903, y=2473047: closest beacon is at x=-432198, y=2000000
Sensor at x=2363579, y=1547888: closest beacon is at x=2348729, y=1239977
Sensor at x=3619841, y=520506: closest beacon is at x=2348729, y=1239977
Sensor at x=3941908, y=3526118: closest beacon is at x=3772294, y=3485243
Sensor at x=3206, y=1564595: closest beacon is at x=-432198, y=2000000
Sensor at x=3123411, y=3392077: closest beacon is at x=2977835, y=3592946
Sensor at x=3279053, y=3984688: closest beacon is at x=2977835, y=3592946
Sensor at x=2968162, y=3938490: closest beacon is at x=2977835, y=3592946
Sensor at x=1772120, y=2862246: closest beacon is at x=2017966, y=3158243
Sensor at x=3283241, y=2619168: closest beacon is at x=3172577, y=2521434
Sensor at x=2471642, y=3890150: closest beacon is at x=2977835, y=3592946
Sensor at x=3163348, y=3743489: closest beacon is at x=2977835, y=3592946
Sensor at x=2933313, y=2919047: closest beacon is at x=3172577, y=2521434
Sensor at x=2780640, y=3629927: closest beacon is at x=2977835, y=3592946
Sensor at x=3986978, y=2079918: closest beacon is at x=3998497, y=2812428
Sensor at x=315464, y=370694: closest beacon is at x=-550536, y=260566
Sensor at x=3957316, y=3968366: closest beacon is at x=3772294, y=3485243
Sensor at x=2118533, y=1074658: closest beacon is at x=2348729, y=1239977
Sensor at x=3494855, y=3378533: closest beacon is at x=3772294, y=3485243
Sensor at x=2575727, y=210553: closest beacon is at x=2348729, y=1239977
Sensor at x=3999990, y=2813525: closest beacon is at x=3998497, y=2812428
Sensor at x=3658837, y=3026912: closest beacon is at x=3998497, y=2812428
Sensor at x=1551619, y=1701155: closest beacon is at x=2348729, y=1239977
Sensor at x=2625855, y=3330422: closest beacon is at x=2977835, y=3592946
Sensor at x=3476946, y=2445098: closest beacon is at x=3172577, y=2521434
Sensor at x=2915568, y=1714113: closest beacon is at x=2348729, y=1239977
Sensor at x=729668, y=3723377: closest beacon is at x=-997494, y=3617758
Sensor at x=3631681, y=3801747: closest beacon is at x=3772294, y=3485243
Sensor at x=2270816, y=3197807: closest beacon is at x=2017966, y=3158243
Sensor at x=3999999, y=2810929: closest beacon is at x=3998497, y=2812428
Sensor at x=3978805, y=3296024: closest beacon is at x=3772294, y=3485243
Sensor at x=1054910, y=811769: closest beacon is at x=2348729, y=1239977

110
src/day15/Day15Lib.hs
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module Day15Lib
( Vector (..),
Sensor (..),
parseNumber,
parseLine,
generateBoundary,
--
processInput1,
processInput2,
)
where
import Data.Bifunctor (Bifunctor (bimap))
import Data.List
import qualified Data.Set as Set
import Debug.Trace
import Text.Parsec
type Parser = Parsec String ()
data Sensor = Sensor
{ position :: Vector,
beacon :: Vector
}
deriving (Show, Eq)
newtype Vector = Vector (Int, Int) deriving (Show, Eq, Ord)
instance Num Vector where
Vector v1 + Vector v2 = Vector (fst v1 + fst v2, snd v1 + snd v2)
Vector v1 - Vector v2 = Vector (fst v1 - fst v2, snd v1 - snd v2)
Vector v1 * Vector v2 = Vector (fst v1 * fst v2, snd v1 * snd v2)
fromInteger i = Vector (fromInteger i, fromInteger i)
abs (Vector v) = Vector (bimap abs abs v)
signum (Vector (x, y)) = Vector (signum x, signum y)
l1d :: Vector -> Vector -> Int
l1d v1 v2 = dx + dy where Vector (dx, dy) = abs (v1 - v2)
sensorRange :: Sensor -> Int
sensorRange sensor = l1d (position sensor) (beacon sensor)
parseSensor :: Parser Sensor
parseSensor = do
string "Sensor at x="
sx <- parseNumber
string ", y="
sy <- parseNumber
string ": closest beacon is at x="
bx <- parseNumber
string ", y="
by <- parseNumber
return $
Sensor
{ position = Vector (sx, sy),
beacon = Vector (bx, by)
}
parseNumber :: Parser Int
parseNumber = do
sign <- option "" (string "-")
number <- many1 digit
return . read $ sign ++ number
parseLine :: String -> Sensor
parseLine line = case parse parseSensor "" line of
Left _ -> error $ "parse error: " ++ line
Right s -> s
-- ####################
processInput1 :: Int -> String -> Int
processInput1 ylevel input =
let sensors = map parseLine . lines $ input
beaconsInLine =
Set.fromList
. map (\Sensor {beacon = Vector (x, _)} -> x)
. filter (\Sensor {beacon = Vector (_, y)} -> y == ylevel)
$ sensors
relevant = filter (isRelevant ylevel) sensors
empte = foldl Set.union Set.empty . map (Set.fromList . generateEmpty ylevel) $ relevant
in Set.size $ Set.difference empte beaconsInLine
generateEmpty :: Int -> Sensor -> [Int]
generateEmpty ylevel s@(Sensor {position = Vector (x, y)}) = [x - d .. x + d] where d = sensorRange s - abs (y - ylevel)
isRelevant :: Int -> Sensor -> Bool
isRelevant ylevel s@(Sensor {position = Vector (_, y)}) = abs (y - ylevel) <= sensorRange s
processInput2 :: Int -> String -> Int
processInput2 r input =
let sensors = map parseLine . lines $ input
candidates =
filter (\(Vector (x, y)) -> x >= 0 && x <= r && y >= 0 && y <= r) $
concatMap generateBoundary sensors
[Vector (x, y)] = nub $ [c | c <- candidates, not $ any (isDetected c) sensors]
in x * 4000000 + y
isDetected :: Vector -> Sensor -> Bool
isDetected v s = l1d (position s) v <= sensorRange s
generateBoundary :: Sensor -> [Vector]
generateBoundary s@(Sensor {position = Vector (x, y)}) =
map
(position s +)
( zipWith (curry Vector) [(-d) .. d] ([0 .. d] ++ [(d - 1), (d - 2) .. 0])
++ zipWith (curry Vector) [(-d + 1) .. (d - 1)] ([-1, -2 .. (-d)] ++ [(-d + 1), (-d + 2) .. 0])
)
where
d = sensorRange s + 1

41
src/day15/test/AoCTest.hs
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import Day15Lib (processInput1, processInput2)
import System.IO
import Test.HUnit
testCases1 =
[ ("data/input150.txt", 10, 26),
("data/input151.txt", 2000000, 5083287)
]
testCase1 (file, ylevel, result) = do
withFile
file
ReadMode
( \handle -> do
contents <- hGetContents handle
assertEqual "input test" result $ processInput1 ylevel contents
)
testCases2 =
[ ("data/input150.txt", 20, 56000011),
("data/input151.txt", 4000000, 13134039205729)
]
testCase2 (file, r, result) = do
withFile
file
ReadMode
( \handle -> do
contents <- hGetContents handle
assertEqual ("input test: " ++ file) result $ processInput2 r contents
)
tests =
TestList $
[TestCase (testCase1 c) | c <- testCases1]
++ [TestCase (testCase2 c) | c <- testCases2]
main :: IO ()
main = do
runTestTT tests
return ()

38
src/day15/test/Basic.hs
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import qualified Data.Set as Set
import Day15Lib
import Test.HUnit
import Text.Parsec
parseTests =
[ parse parseNumber "" "1"
~?= Right (1),
parse parseNumber "" "-10"
~?= Right (-10),
parseLine "Sensor at x=2, y=18: closest beacon is at x=-2, y=15"
~?= Sensor {position = Vector (2, 18), beacon = Vector (-2, 15)}
]
boundaryTests =
[ generateBoundary Sensor {position = Vector (0, 0), beacon = Vector (0, 1)}
~?=
[ Vector (0, 2),
Vector (1, 1),
Vector (2, 0),
Vector (1, -1),
Vector (0, -2),
Vector (-1, -1),
Vector (-2, 0),
Vector (-1, 1)
]
]
tests =
TestList $
parseTests
++ boundaryTests
++ []
main :: IO ()
main = do
runTestTT tests
return ()
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