Day 13

aoc2022.cabal

@@ -31,6 +31,7 @@ library
       Day11
       Day11.Parser
       Day12
+      Day13
       Day2
       Day2.Part1
       Day2.Part2
@@ -117,6 +118,7 @@ test-suite aoc2022-test
       Day10Spec
       Day11Spec
       Day12Spec
+      Day13Spec
       Day1Spec
       Day2Spec
       Day3Spec

ressources/day13-input

@@ -0,0 +1,449 @@
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+[[6,[8,3,[7],[9,6]]]]
+
+[[[[],7],9,[],1,[[],10,2,9]],[[[8,1,6,6],0],2,5,5,[[8,6,5,3],1,6,4,0]],[[8],10,[],2],[[10,2,7,5,[10,3]],[[10,10],7]],[7]]
+[[10],[5,[1,[0,10,4,4,6],2,[3],7],9],[8,4,6,2]]
+
+[[],[[3,6],[],0,[0,[1],[4,10],4],[[7]]],[8,[[2,8]],[[5,3,6,7]]]]
+[[[8,[1,1,6,7,1]],[],4],[[6,[],[6,7],[5],[5]]],[[[],0],5],[6,10,6,[]]]
+
+[[[],[5,[9],[10,4],[1],7]],[1,[2,[10,1,9,0,6],5]],[[[2]],[],[[8,1,9,8,8],8,[],6,8]],[[[6,3,6,4,2],1,[4,6,6,10,9],8,[9,7,7,10]],10],[2]]
+[[4],[[],7,9,[[0,8,1,2],[9,8],0,[5],8]],[[8,[9,6],3,[5,6]]],[6,[5,[9,10,4,7],4],[],2,6],[[],8,[[7,7]],[6,0,[8]]]]
+
+[[9],[1,[],2,[[],5,[7,9,2,1],[7],[]],3],[0,[],[[5,1,2,0],0,[10,9,10,6,10],[8,1],5]],[7,[[3,8,9,10],[0,2]],[2,0],9,[[1,3,9,3,9],[6,6,3],[]]],[4]]
+[[[6,3,7],9,[[1,3,5,8,10],1,[6,10,10,9],3,[1,7]]]]
+
+[[],[[],5]]
+[[8],[7,2,10]]
+
+[[6,[4,[3],[],[1,7,4,2,5],[3,10,10]],8,[],[9,8,[]]],[[0,0,3],[5,[5,2,5],4,[5,1,2,8,6],9],4],[[]]]
+[[1,10],[4],[[0],3,[[8],5,[2,6,10,3]]]]
+
+[[],[8,5,9],[[[5],[3]],7,4,4],[8]]
+[[],[]]
+
+[[8,[],0]]
+[[4,4,6],[9,5,[[3,8,4,5],5],9,[[5,3],[0,4,0,3],3,[4,10],7]]]
+
+[[[[6,2,3,9,9],[4,1],10,[],3],[4,1,[8,5,5,8],[6,7,2],[4]]],[[[10,4,2,10,9],[2],[2,4,6],3],[[0,8,10],[4],[0,7,0,9,0]],[3]],[4,7,3,8]]
+[[[6,5,0],9,5,7,2],[[[],[],7,3,0]],[[7],[],4],[1,6,6,[],9]]

ressources/day13.py

@@ -0,0 +1,96 @@
+import json
+import pathlib
+import sys
+
+
+def parse(puzzle_input: str) -> list[list[int, ...]]:
+    """Convert str representations of lists into real int lists"""
+    str_pkts: list[list[str, str]] = [
+        packet.splitlines() for packet in puzzle_input.split("\n\n")
+    ]
+    int_pkts: list[list[int, ...]] = []
+    for pkt in str_pkts:
+        int_pk: list[int, ...] = []
+        for pk in pkt:
+            # Here's the magick - I'm highly averse to eval()
+            int_pk.append(json.loads(pk))
+        int_pkts.append(int_pk)
+    return int_pkts
+
+
+def compare(l: int, r: int) -> int:
+    """Compare 2 ints, return 1, 0, -1 depending on values"""
+    if l < r:
+        return 1
+    elif l > r:
+        return -1
+    else:
+        return 0
+
+
+def compare_packets(left: list[int, ...], right: list[int, ...]) -> int:
+    """Compare 2 lists to establish correct order"""
+    match left, right:
+        case int(), int():
+            return compare(left, right)
+        case int(), list():
+            return compare_packets([left], right)
+        case list(), int():
+            return compare_packets(left, [right])
+        case list(), list():
+            for l, r in zip(left, right):
+                res = compare_packets(l, r)
+                if res != 0:
+                    return res
+            return compare_packets(len(left), len(right))
+
+
+def part1(pairs: list[list[int, ...]]) -> int:
+    """Solve part 1"""
+    sum_of_indices: int = 0
+    for idx, pair in enumerate(pairs):
+        if compare_packets(*pair) == 1:
+            sum_of_indices += idx + 1
+    return sum_of_indices
+
+
+def flatten(l: list[list[int]]) -> list[int]:
+    """Flatten a nested list one level"""
+    return [item for sublist in l for item in sublist]
+
+
+def find_index(l: list[list[int]], item: list[int]) -> int:
+    """Return index of where item falls in list"""
+    item_idx: int = 0
+    for pkt in flatten(l):
+        if compare_packets(pkt, item) == 1:
+            item_idx += 1
+    return item_idx
+
+
+def part2(pairs: list[list[int, ...]]) -> int:
+    """Solve part 2"""
+    # Remove one layer of list to match flattened list above
+    first_divider: list[int] = [2]
+    second_divider: list[int] = [6]
+
+    first_pos: int = find_index(pairs, first_divider) + 1
+    second_pos: int = find_index(pairs, second_divider) + 2
+    return first_pos * second_pos
+
+
+def solve(puzzle_input: str) -> tuple[int, int]:
+    """Solve the puzzle for the given input"""
+    data: list[list[int, ...]] = parse(puzzle_input)
+    solution1: int = part1(data)  # Correct answer was 4734 (with my data)
+    solution2: int = part2(data)  # Correct answer was 21836 (with my data)
+
+    return solution1, solution2
+
+
+if __name__ == "__main__":
+    for path in sys.argv[1:]:
+        print(f"{path}:")
+        puzzle_input = pathlib.Path(path).read_text().strip()
+        solutions = solve(puzzle_input)
+        print("\n".join(str(solution) for solution in solutions))

src/Day13.hs

@@ -0,0 +1,117 @@
+{-# LANGUAGE BlockArguments #-}
+
+module Day13 (parsePackets, Packet (..), checkPair, sumIndices, day13, parsePacketList, addDividers, part2, findDividers, dividers) where
+
+import Text.Megaparsec
+import Text.Megaparsec.Char
+import Data.Void (Void)
+import Control.Monad (void)
+import Data.List (intercalate, elemIndex, sort)
+import Data.Maybe (catMaybes, mapMaybe)
+
+data Packet = List [Packet] | Entry Int
+
+instance Eq Packet where
+  (Entry a) == (Entry b)  = a == b
+  (List [Entry a]) == (Entry b) = a == b
+  (Entry a) == (List [Entry b]) = a == b
+  (List []) == (Entry _) = False
+  (List []) == (List (_:_)) = False
+  (List []) == (List []) = True
+  (Entry _) == (List [])  = False
+  (List (a:as)) == (List (b:bs)) = a == b && List as == List bs
+  a@(Entry _) == b@(List _) = List [a] == b
+  a@(List _) == b@(Entry _) = a == List [b]
+  (List (_:_)) == (List []) = False
+
+instance Ord Packet where
+  compare (Entry x) (Entry y) = x `compare` y
+  compare (List []) (List []) = EQ
+  compare (List []) (List (_:_)) = LT
+  compare (List ((Entry x):xs)) (List ((Entry y):ys))
+    | x < y = LT
+    | x == y = List xs `compare` List ys
+    | otherwise = GT
+  compare (List (x:xs)) (List (y:ys)) =
+    case x `compare` y of
+      LT -> LT
+      EQ -> List xs `compare` List ys
+      GT -> GT
+  compare (List (_:_)) (List []) = GT
+  compare (Entry x) (List ys) = List [Entry x] `compare` List ys
+  compare (List xs) (Entry y)=  List xs `compare` List [Entry y]
+
+
+newtype PacketPair = PacketPair (Packet, Packet) deriving (Eq)
+
+instance Show PacketPair where
+  show (PacketPair (p1, p2)) = show p1 ++ "\n" ++ show p2 ++ "\n"
+
+instance Show Packet where
+  show (Entry n) = show n
+  show (List ps) = "["  ++ intercalate "," (map show ps) ++ "]"
+
+type Parser = Parsec Void String
+
+parsePackets :: String -> [PacketPair]
+parsePackets input = case parse (packetPairs `sepBy` eol) "" input of
+  Left err -> error (show err)
+  Right result -> result
+
+parsePacketList :: String -> [Packet]
+parsePacketList input = case parse (packetLine `sepBy` eol) "" input of
+  Left err -> error (show err)
+  Right result -> catMaybes result
+
+packetLine :: Parser (Maybe Packet)
+packetLine = Just <$> parsePacket <|> return Nothing
+
+packetPairs :: Parser PacketPair
+packetPairs = do
+    p1 <- parsePacket
+    void eol
+    p2 <- parsePacket
+    void eol
+    return $ PacketPair (p1, p2)
+
+parsePacket :: Parser Packet
+parsePacket = do
+  void $ char '['
+  entries <- (parseNum <|> parsePacket) `sepBy` char ','
+  void $ char ']'
+  return $ List entries
+  where
+    parseNum = Entry . read <$> some numberChar
+
+checkPair :: PacketPair -> Bool
+checkPair (PacketPair (p1, p2)) = p1 <= p2
+
+
+sumIndices :: [PacketPair] -> Int
+sumIndices pairs = sum $ map fst $ filter snd $ zip [1..] $ map checkPair pairs
+
+
+dividers :: [Packet]
+dividers = [List [List [Entry 2]], List [List [Entry 6]]]
+
+addDividers :: [Packet] -> [Packet]
+addDividers = (++)  dividers
+
+-- find the 1-based indices of the dividers
+findDividers :: [Packet] -> [Int]
+findDividers packets = map (+1) positions
+  where
+    positions = mapMaybe findIndex dividers
+    findIndex x = x `elemIndex` packets
+
+part2 :: [Packet] -> Int
+part2 packets = product $ findDividers $ sort $ addDividers packets
+
+day13 :: IO ()
+day13 = do
+  input <- readFile "ressources/day13-input"
+  putStrLn "Day13"
+  let pairs = parsePackets input
+  putStrLn ("Sum of indices: " ++ show (sumIndices pairs))
+  let packets = parsePacketList input
+  putStrLn ("Decoder key: " ++ show (part2 packets))

src/Lib.hs

@@ -14,9 +14,10 @@ import Day9 (day9)
 import Day10 (day10)
 import Day11 (day11)
 import Day12 (day12)
+import Day13 (day13)
 
 days :: [IO ()]
-days = [day1, day2, day3, day4, day5, day6, day7, day8, day9, day10, day11, day12]
+days = [day1, day2, day3, day4, day5, day6, day7, day8, day9, day10, day11, day12, day13]
 
 sep :: IO ()
 sep = putStrLn "---------"

test/Day13Spec.hs

@@ -0,0 +1,71 @@
+{-# LANGUAGE QuasiQuotes #-}
+
+module Day13Spec (spec) where
+
+import Day13
+import Test.Hspec
+import Text.Heredoc
+import Data.List (sort, elem, elemIndex)
+
+testInput :: String
+testInput = [str|[1,1,3,1,1]
+                |[1,1,5,1,1]
+                |
+                |[[1],[2,3,4]]
+                |[[1],4]
+                |
+                |[9]
+                |[[8,7,6]]
+                |
+                |[[4,4],4,4]
+                |[[4,4],4,4,4]
+                |
+                |[7,7,7,7]
+                |[7,7,7]
+                |
+                |[]
+                |[3]
+                |
+                |[[[]]]
+                |[[]]
+                |
+                |[1,[2,[3,[4,[5,6,7]]]],8,9]
+                |[1,[2,[3,[4,[5,6,0]]]],8,9]
+                |]
+
+falsePositive :: String
+falsePositive = "[[],[[[10,2,6],[1,4,9,2,5]],[],[5,2],[1,3,5]],[[[7,2,2,0],[0,1],10],10,[9,[4,8],[8,2,10],[1,4,2]],7,[[2]]]]\n" ++
+                "[[],[[[],[],[9,10,5,6],2,[0]],10],[[],[[4,9,3,7],7,4],[],2,2],[8,[6,8,[7,5,5],[2,4,8,0,7],[3,1,7,3,9]],[[9,1,5,1],[5,1,1],[],[2,1,2,1]],[[0,9,1,10],5,[],10,[5,0,10,2]],[10,[3,4,8,8,4],5]]]\n"
+
+spec :: Spec
+spec =
+  describe "Day12" $ do
+    describe "Part1" $ do
+      it "parser a single pair" $ do
+        let input = "[1,[],3]\n[]\n"
+        show (head $ parsePackets input) `shouldBe` input
+      it "checks order" $ do
+        Entry 1 <= Entry 2 `shouldBe` True
+        Entry 2 <= Entry 1 `shouldBe` False
+        List [] <= List [] `shouldBe` True
+        List [] <= List [Entry 1] `shouldBe` True
+        List [Entry 1] <= List [] `shouldBe` False
+        List [Entry 1] <= Entry 2 `shouldBe` True
+        List [Entry 2] <= Entry 1 `shouldBe` False
+        let pair = head $ parsePackets falsePositive
+        checkPair pair `shouldBe` False
+      it "checks examples" $ do
+        let pairs = parsePackets testInput
+        length pairs `shouldBe` 8
+        sumIndices pairs `shouldBe` 13
+        map checkPair pairs `shouldBe` [True, True, False, True, False, True, False, False]
+    describe "Part2" $ do
+      it "checks examples" $ do
+        let packets = sort $ addDividers $ parsePacketList testInput
+        let a = packets !! 9
+        let b = head dividers
+        a `shouldBe` b
+        elem (head dividers) packets `shouldBe` True
+        findDividers packets `shouldBe` [10, 14]
+
+