Done day 16

advent16/package.yaml

+# This YAML file describes your package. Stack will automatically generate a
+# Cabal file when you run `stack build`. See the hpack website for help with
+# this file: <https://github.com/sol/hpack>.
+
+name: advent16
+synopsis: Advent of Code
+version: '0.0.1'
+
+default-extensions:
+- AllowAmbiguousTypes
+- ApplicativeDo
+- BangPatterns
+- BlockArguments
+- DataKinds
+- DeriveFoldable
+- DeriveFunctor
+- DeriveGeneric
+- DeriveTraversable
+- EmptyCase
+- FlexibleContexts
+- FlexibleInstances
+- FunctionalDependencies
+- GADTs
+- GeneralizedNewtypeDeriving
+- ImplicitParams
+- KindSignatures
+- LambdaCase
+- MonadComprehensions
+- MonoLocalBinds
+- MultiParamTypeClasses
+- MultiWayIf
+- NamedFieldPuns
+- NegativeLiterals
+- NumDecimals
+# - OverloadedLists
+- OverloadedStrings
+- PartialTypeSignatures
+- PatternGuards
+- PatternSynonyms
+- PolyKinds
+- RankNTypes
+- RecordWildCards
+- ScopedTypeVariables
+- TemplateHaskell
+- TransformListComp
+- TupleSections
+- TypeApplications
+- TypeFamilies
+- TypeInType
+- TypeOperators
+- ViewPatterns
+
+executables:
+  advent16:
+    main: advent16.hs
+    source-dirs: src
+    dependencies:
+    - base >= 2 && < 6
+    - text
+    - attoparsec
+    - containers
+    - csp

advent16/src/advent16.hs

+-- import Debug.Trace
+
+import Data.Text (Text)
+-- import qualified Data.Text as T
+import qualified Data.Text.IO as TIO
+
+import Data.Attoparsec.Text hiding (take)
+-- import Data.Attoparsec.Combinator
+import Control.Applicative
+import qualified Data.Map.Strict as M
+import Data.List
+import Control.Monad.CSP
+
+
+type RuleSet = M.Map String Body
+
+data Body = Body Range Range -- the two ranges
+  deriving (Show, Eq)
+
+data Range = Range Int Int -- lower, upper bounds
+  deriving (Show, Eq)
+
+type Ticket = [Int]
+
+type ColCandidateSet = M.Map String [Int]
+
+
+main :: IO ()
+main = 
+  do  text <- TIO.readFile "data/advent16.txt"
+      let (rules, myTicket, nearbyTickets) = successfulParse text
+      print $ part1 rules nearbyTickets
+      print $ part2 rules myTicket nearbyTickets
+
+part1 = ticketErrorRate
+
+part2 rules myTicket nearbyTickets = product $ M.elems departureTicket
+  where 
+    columnDomains = possibleColumnsAll rules nearbyTickets
+    namedCols = knownCols columnDomains
+    filledTicket = buildTicket namedCols myTicket
+    departureTicket = M.filterWithKey (\k _ -> "departure" `isPrefixOf` k) filledTicket
+
+
+inRange (Range lower upper) value = (lower <= value) && (value <= upper)
+matchesRule (Body a b) value = (inRange a value) || (inRange b value)
+
+validForAnyField :: RuleSet -> Int -> Bool
+validForAnyField rules value = any (flip matchesRule value) $ M.elems rules
+
+ticketErrorRate :: RuleSet -> [Ticket] -> Int
+ticketErrorRate rules tickets = 
+  sum [ v 
+      | t <- tickets
+      , v <- t
+      , (not $ validForAnyField rules v) ]
+
+isValidTicket :: RuleSet -> Ticket -> Bool
+isValidTicket rules ticket = and $ map (validForAnyField rules) ticket
+
+possibleColumnsAll :: RuleSet -> [Ticket] -> ColCandidateSet
+possibleColumnsAll rules tickets = M.map (possibleColumns ticketCols) rules
+  where validTickets = filter (isValidTicket rules) tickets
+        ticketCols = transpose validTickets
+
+possibleColumns ticketCols body = map fst $ filter columnMatches $ zip [0..] ticketCols
+  where columnMatches (_, col) = all (matchesRule body) col
+
+
+knownCols :: ColCandidateSet -> M.Map String Int
+knownCols colCandidates = M.fromList $ zip names cols
+  where 
+    (names, colDomains) = unzip $ M.toList colCandidates
+    cols = solveColumns colDomains
+
+solveColumns :: [[Int]] -> [Int]
+solveColumns colDomains = oneCSPSolution $ do
+  dvs <- mapM mkDV colDomains
+  mapAllPairsM_ (constraint2 (/=)) dvs
+  return dvs
+
+mapAllPairsM_ :: Monad m => (a -> a -> m b) -> [a] -> m ()
+mapAllPairsM_ f []     = return ()
+mapAllPairsM_ f (_:[]) = return ()
+mapAllPairsM_ f (a:l) = mapM_ (f a) l >> mapAllPairsM_ f l
+
+buildTicket :: M.Map String Int -> Ticket -> M.Map String Int
+buildTicket namedCols ticketData = M.map (ticketData!!) namedCols
+
+
+-- Parse the input file
+
+inputP = (,,) <$> rulesP <* blankLines <*> myTicketP <* blankLines <*> nearbyTicketsP
+
+blankLines = skipMany1 endOfLine
+
+rulesP = M.fromList <$> (ruleP `sepBy` endOfLine)
+
+ruleP = (,) <$> nameP <* ": " <*> ruleBodyP
+nameP = many1 (letter <|> space)
+ruleBodyP = Body <$> rangeP <* " or " <*> rangeP
+rangeP = Range <$> decimal <* "-" <*> decimal
+
+myTicketP = "your ticket:" *> endOfLine *> ticketValsP
+nearbyTicketsP = "nearby tickets:" *> endOfLine *> (ticketValsP `sepBy` endOfLine)
+
+ticketValsP = decimal `sepBy1` (string ",")
+
+-- successfulParse :: Text -> (Integer, [Maybe Integer])
+successfulParse input = 
+  case parseOnly inputP input of
+    Left  _err -> (M.empty, [], []) -- TIO.putStr $ T.pack $ parseErrorPretty err
+    Right ticketInfo -> ticketInfo

data/advent16.txt

+departure location: 25-568 or 594-957
+departure station: 33-447 or 466-952
+departure platform: 31-700 or 725-956
+departure track: 43-124 or 141-952
+departure date: 26-290 or 306-962
+departure time: 34-754 or 763-960
+arrival location: 29-208 or 217-958
+arrival station: 48-118 or 124-973
+arrival platform: 35-368 or 389-972
+arrival track: 47-91 or 106-970
+class: 35-521 or 528-960
+duration: 27-833 or 855-965
+price: 25-870 or 895-957
+route: 31-140 or 146-965
+row: 35-736 or 743-957
+seat: 33-227 or 249-961
+train: 27-763 or 788-961
+type: 34-167 or 193-950
+wagon: 47-437 or 443-952
+zone: 48-928 or 940-955
+
+your ticket:
+113,197,59,167,151,107,79,73,109,157,199,193,83,53,89,71,149,61,67,163
+
+nearby tickets:
+659,831,365,819,499,735,227,617,597,323,200,413,863,803,5,753,925,468,632,658
+927,75,984,694,820,863,534,221,199,559,628,748,860,940,792,351,496,947,278,259
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+547,607,860,459,285,166,693,78,67,830,802,355,743,691,901,349,538,695,60,391
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+276,792,492,536,733,285,552,432,208,981,350,818,347,71,735,322,225,435,788,651
+813,820,436,431,596,944,330,518,256,354,277,647,870,264,284,527,530,505,54,152
+115,420,204,619,509,351,699,352,402,634,361,425,925,808,333,886,415,364,160,659
+111,749,731,187,67,790,89,437,491,610,677,61,225,550,791,341,945,864,537,389
+690,632,89,763,538,389,831,333,366,864,157,253,64,732,652,763,181,791,333,556
+313,194,489,272,153,520,274,124,700,676,506,565,518,624,816,390,929,227,362,555
+788,439,948,678,596,411,539,57,596,77,323,614,204,323,71,333,540,635,348,476

data/advent16a.txt

+class: 1-3 or 5-7
+row: 6-11 or 33-44
+seat: 13-40 or 45-50
+
+your ticket:
+7,1,14
+
+nearby tickets:
+7,3,47
+40,4,50
+55,2,20
+38,6,12
\ No newline at end of file

data/advent16b.txt

+class: 0-1 or 4-19
+row: 0-5 or 8-19
+seat: 0-13 or 16-19
+
+your ticket:
+11,12,13
+
+nearby tickets:
+3,9,18
+15,1,5
+5,14,9
\ No newline at end of file

problems/day16.html

+<!DOCTYPE html>
+<html lang="en-us">
+<head>
+<meta charset="utf-8"/>
+<title>Day 16 - Advent of Code 2020</title>
+<!--[if lt IE 9]><script src="/static/html5.js"></script><![endif]-->
+<link href='//fonts.googleapis.com/css?family=Source+Code+Pro:300&subset=latin,latin-ext' rel='stylesheet' type='text/css'/>
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+Oh, hello!  Funny seeing you here.
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+I appreciate your enthusiasm, but you aren't going to find much down here.
+There certainly aren't clues to any of the puzzles.  The best surprises don't
+even appear in the source until you unlock them for real.
+
+Please be careful with automated requests; I'm not a massive company, and I can
+only take so much traffic.  Please be considerate so that everyone gets to play.
+
+If you're curious about how Advent of Code works, it's running on some custom
+Perl code. Other than a few integrations (auth, analytics, social media), I
+built the whole thing myself, including the design, animations, prose, and all
+of the puzzles.
+
+The puzzles are most of the work; preparing a new calendar and a new set of
+puzzles each year takes all of my free time for 4-5 months. A lot of effort
+went into building this thing - I hope you're enjoying playing it as much as I
+enjoyed making it for you!
+
+If you'd like to hang out, I'm @ericwastl on Twitter.
+
+- Eric Wastl
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+-->
+<body>
+<header><div><h1 class="title-global"><a href="/">Advent of Code</a></h1><nav><ul><li><a href="/2020/about">[About]</a></li><li><a href="/2020/events">[Events]</a></li><li><a href="https://teespring.com/stores/advent-of-code" target="_blank">[Shop]</a></li><li><a href="/2020/settings">[Settings]</a></li><li><a href="/2020/auth/logout">[Log Out]</a></li></ul></nav><div class="user">Neil Smith <a href="/2020/support" class="supporter-badge" title="Advent of Code Supporter">(AoC++)</a> <span class="star-count">32*</span></div></div><div><h1 class="title-event">&nbsp;&nbsp;&nbsp;<span class="title-event-wrap">0x0000|</span><a href="/2020">2020</a><span class="title-event-wrap"></span></h1><nav><ul><li><a href="/2020">[Calendar]</a></li><li><a href="/2020/support">[AoC++]</a></li><li><a href="/2020/sponsors">[Sponsors]</a></li><li><a href="/2020/leaderboard">[Leaderboard]</a></li><li><a href="/2020/stats">[Stats]</a></li></ul></nav></div></header>
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+<article class="day-desc"><h2>--- Day 16: Ticket Translation ---</h2><p>As you're walking to yet another connecting flight, you realize that one of the legs of your re-routed trip coming up is on a high-speed train. However, the train ticket you were given is in a language you don't understand. You should probably figure out what it says before you get to the train station after the next flight.</p>
+<p>Unfortunately, you <span title="This actually happened to me once, but I solved it by just asking someone.">can't actually <em>read</em> the words on the ticket</span>. You can, however, read the numbers, and so you figure out <em>the fields these tickets must have</em> and <em>the valid ranges</em> for values in those fields.</p>
+<p>You collect the <em>rules for ticket fields</em>, the <em>numbers on your ticket</em>, and the <em>numbers on other nearby tickets</em> for the same train service (via the airport security cameras) together into a single document you can reference (your puzzle input).</p>
+<p>The <em>rules for ticket fields</em> specify a list of fields that exist <em>somewhere</em> on the ticket and the <em>valid ranges of values</em> for each field. For example, a rule like <code>class: 1-3 or 5-7</code> means that one of the fields in every ticket is named <code>class</code> and can be any value in the ranges <code>1-3</code> or <code>5-7</code> (inclusive, such that <code>3</code> and <code>5</code> are both valid in this field, but <code>4</code> is not).</p>
+<p>Each ticket is represented by a single line of comma-separated values. The values are the numbers on the ticket in the order they appear; every ticket has the same format. For example, consider this ticket:</p>
+<pre><code>.--------------------------------------------------------.
+| ????: 101    ?????: 102   ??????????: 103     ???: 104 |
+|                                                        |
+| ??: 301  ??: 302             ???????: 303      ??????? |
+| ??: 401  ??: 402           ???? ????: 403    ????????? |
+'--------------------------------------------------------'
+</code></pre>
+<p>Here, <code>?</code> represents text in a language you don't understand. This ticket might be represented as <code>101,102,103,104,301,302,303,401,402,403</code>; of course, the actual train tickets you're looking at are <em>much</em> more complicated. In any case, you've extracted just the numbers in such a way that the first number is always the same specific field, the second number is always a different specific field, and so on - you just don't know what each position actually means!</p>
+<p>Start by determining which tickets are <em>completely invalid</em>; these are tickets that contain values which <em>aren't valid for any field</em>. Ignore <em>your ticket</em> for now.</p>
+<p>For example, suppose you have the following notes:</p>
+<pre><code>class: 1-3 or 5-7
+row: 6-11 or 33-44
+seat: 13-40 or 45-50
+
+your ticket:
+7,1,14
+
+nearby tickets:
+7,3,47
+40,<em>4</em>,50
+<em>55</em>,2,20
+38,6,<em>12</em>
+</code></pre>
+<p>It doesn't matter which position corresponds to which field; you can identify invalid <em>nearby tickets</em> by considering only whether tickets contain <em>values that are not valid for any field</em>. In this example, the values on the first <em>nearby ticket</em> are all valid for at least one field. This is not true of the other three <em>nearby tickets</em>: the values <code>4</code>, <code>55</code>, and <code>12</code> are are not valid for any field. Adding together all of the invalid values produces your <em>ticket scanning error rate</em>: <code>4 + 55 + 12</code> = <em><code>71</code></em>.</p>
+<p>Consider the validity of the <em>nearby tickets</em> you scanned. <em>What is your ticket scanning error rate?</em></p>
+</article>
+<p>Your puzzle answer was <code>25984</code>.</p><article class="day-desc"><h2 id="part2">--- Part Two ---</h2><p>Now that you've identified which tickets contain invalid values, <em>discard those tickets entirely</em>. Use the remaining valid tickets to determine which field is which.</p>
+<p>Using the valid ranges for each field, determine what order the fields appear on the tickets. The order is consistent between all tickets: if <code>seat</code> is the third field, it is the third field on every ticket, including <em>your ticket</em>.</p>
+<p>For example, suppose you have the following notes:</p>
+<pre><code>class: 0-1 or 4-19
+row: 0-5 or 8-19
+seat: 0-13 or 16-19
+
+your ticket:
+11,12,13
+
+nearby tickets:
+3,9,18
+15,1,5
+5,14,9
+</code></pre>
+<p>Based on the <em>nearby tickets</em> in the above example, the first position must be <code>row</code>, the second position must be <code>class</code>, and the third position must be <code>seat</code>; you can conclude that in <em>your ticket</em>, <code>class</code> is <code>12</code>, <code>row</code> is <code>11</code>, and <code>seat</code> is <code>13</code>.</p>
+<p>Once you work out which field is which, look for the six fields on <em>your ticket</em> that start with the word <code>departure</code>. <em>What do you get if you multiply those six values together?</em></p>
+</article>