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6 changed files with 1 additions and 194 deletions
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@ -136,10 +136,6 @@ solution.
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Naive ring buffer and `parameters` blocks[^2]
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Naive ring buffer and `parameters` blocks[^2]
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- [Day 14](src/Years/Y2015/Day14.md)
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Introduction to streams, infinite collections of data
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## References
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## References
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[^1]: Idris 2 Manual:
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[^1]: Idris 2 Manual:
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@ -41,7 +41,7 @@ main = Main
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-- name of executable
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-- name of executable
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executable = "advent"
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executable = "advent"
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opts = "--directive lazy=weakMemo"
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-- opts =
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sourcedir = "src"
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sourcedir = "src"
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-- builddir =
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-- builddir =
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-- outputdir =
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-- outputdir =
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@ -35,4 +35,3 @@
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- [Day 11 - Refinement Types](Years/Y2015/Day11.md)
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- [Day 11 - Refinement Types](Years/Y2015/Day11.md)
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- [Day 12 - Custom Parser Effect and DLists](Years/Y2015/Day12.md)
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- [Day 12 - Custom Parser Effect and DLists](Years/Y2015/Day12.md)
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- [Day 13 - Naive Ring Buffer and parameters blocks](Years/Y2015/Day13.md)
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- [Day 13 - Naive Ring Buffer and parameters blocks](Years/Y2015/Day13.md)
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- [Day 14 - Introduction to Streams](Years/Y2015/Day14.md)
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@ -192,14 +192,6 @@ Lazily generate all the permutations of a Vect
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maxBy f (x :: xs) = Foldable.maxBy f x xs
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maxBy f (x :: xs) = Foldable.maxBy f x xs
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```
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```
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### Convert a list to a vect as a sigma type
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```idris
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export
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listToVect : List a -> (n : Nat ** Vect n a)
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listToVect xs = (length xs ** fromList xs)
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```
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## Fin
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## Fin
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```idris hide
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```idris hide
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@ -20,7 +20,6 @@ import Years.Y2015.Day10
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import Years.Y2015.Day11
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import Years.Y2015.Day11
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import Years.Y2015.Day12
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import Years.Y2015.Day12
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import Years.Y2015.Day13
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import Years.Y2015.Day13
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import Years.Y2015.Day14
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```
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```
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# Days
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# Days
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@ -109,12 +108,6 @@ y2015 = MkYear 2015 [
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, day13
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, day13
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```
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```
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## [Day 14](Y2015/Day14.md)
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```idris
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, day14
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```
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```idris
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```idris
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]
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]
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```
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```
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@ -1,173 +0,0 @@
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# [Year 2015 Day 14](https://adventofcode.com/2015/day/14)
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This day provides us an introduction to streams, infinite, lazily generated,
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collections of data.
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```idris hide
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module Years.Y2015.Day14
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import Data.Primitives.Interpolation
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import Control.Eff
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import Runner
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```
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```idris
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import Data.String
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import Data.List1
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import Data.Vect
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import Data.Stream
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import Data.Zippable
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import Decidable.Equality
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import Util
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```
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## Parsing And Datastructures
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Collect the aspects defining a reindeer into a record
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```idris
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record Reindeer where
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constructor MkReindeer
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name : String
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speed : Nat
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duration, rest : Nat
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```
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```idris hide
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Show Reindeer where
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show (MkReindeer name speed duration rest) =
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"MkReindeer \{name} \{speed} \{duration} \{rest}"
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```
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This time around, since the lines describing a reindeer contain a lot of cruft,
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we'll handle the parsing by converting the input, after splitting it on space
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characters, to a `Vect`, and indexing into that `Vect`.
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```idris
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parseReindeer : Has (Except String) fs =>
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(input : String) -> Eff fs Reindeer
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parseReindeer input = do
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parts <- note "Input has wrong size: \{input}" $
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toVect 15 . forget . split (== ' ') . trim $ input
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let name = index 0 parts
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speed <- note "" $
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parsePositive $ index 3 parts
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duration <- note "" $
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parsePositive $ index 6 parts
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rest <- note "" $
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parsePositive $ index 13 parts
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pure $ MkReindeer name speed duration rest
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```
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### Solver Functions
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A stream is an infinite analog of a list, storing an infinite collection of
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(lazily generated) values.
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Streams are defined like:
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```idris
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data Stream' : Type -> Type where
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(::) : a -> Inf (Stream' a) -> Stream' a
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```
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Streams are a member of a family of concepts analogous to iterators in
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imperative languages, the different flavors of colist.
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Colists are the codata duals of lists, we'll dig more into to this later, but to
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provide a high level summary, where data is defined by how it is constructed,
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codata is defined by how it is destructed. While a list is defined by how you
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can cons an element `x` onto a list `xs` to produce a new list `x :: xs`, a
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colist is defined by how you can break down a colist `x :: xs` into a head `x`
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and a tail `xs`.
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Streams are a particular type of colist that has no empty case, breaking down a
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`Stream` will always produce an element and another stream, resulting in streams
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always being infinite in length.
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Destructing a `Stream` by pattern matching is semantically equivalent to calling
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the `next` method on an iterator in a language like rust, it produces the
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element at the head of a stream, and a new stream producing future elements.
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We will model are reindeer's future history of locations as a stream, with each
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element being the position at the time given by the index into the stream,
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generating it with a pair of mutually recursive functions. The `run` function
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adds the speed to current position to produce the next one, and the `rest`
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function doesn't modify the position whill still consuming a time step.
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```idris
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distances : Reindeer -> Stream Nat
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distances x = run x x.duration 0
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where
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run : (deer : Reindeer) -> (left : Nat) -> (position : Nat)
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-> Stream Nat
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rest : (deer : Reindeer) -> (left : Nat) -> (position : Nat)
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-> Stream Nat
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run deer 0 position = rest deer deer.rest position
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run deer (S k) position = position :: run deer k (position + deer.speed)
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rest deer 0 position = run deer deer.duration position
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rest deer (S k) position = position :: rest deer k position
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```
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Carry an accumulator containing the scores for each reindeer down the stream, at
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each position, granting one point to each reindeer at the leader position after
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the end of the second.
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```idris
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leaderScoring : {n : _} -> Vect (S n) (Stream Nat) -> Stream (Vect (S n) Nat)
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leaderScoring xs = leaderScoring' (replicate _ 0) xs
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where
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leaderScoring' : {n : _} -> (acc : Vect (S n) Nat) -> Vect (S n) (Stream Nat)
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-> Stream (Vect (S n) Nat)
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leaderScoring' acc xs =
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let positions = map (head . tail) xs
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leader_pos = maxBy compare 0 positions
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points : Vect _ Nat =
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map (\x => if x == leader_pos then 1 else 0) positions
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in acc :: leaderScoring' (zipWith (+) acc points) (map tail xs)
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```
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## Part Functions
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### Part 1
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Parse the input, generate the position `Stream`s for each reindeer, then index
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the finish position in each stream.
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```idris
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part1 : Eff (PartEff String) (Nat, ())
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part1 = do
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lines <- map lines $ askAt "input"
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reindeer <- traverse parseReindeer lines
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debug $ show reindeer
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let dists = map distances reindeer
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let dists_end = map (index 2503) dists
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let max = maxBy compare 0 dists_end
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pure (max, ())
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```
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Parse the input into a vect, and make sure it is not empty, then generate the
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stream with the `leaderScoring` function and index into it.
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```idris
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part2 : () -> Eff (PartEff String) Nat
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part2 x = do
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lines <- map lines $ askAt "input"
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let (len ** lines) = listToVect lines
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case len of
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0 => throw "No reindeer :("
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(S k) => do
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reindeer <- traverse parseReindeer lines
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let dists = leaderScoring $ map distances reindeer
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let dists_end = index 2503 dists
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pure $ maxBy compare 0 dists_end
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```
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```idris hide
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public export
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day14 : Day
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day14 = Both 14 part1 part2
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```
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Reference in a new issue