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Smaug123
2023-01-15 13:30:58 +00:00
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.gitignore vendored Normal file
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ConsoleApp2.sln Normal file
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Microsoft Visual Studio Solution File, Format Version 12.00
Project("{F2A71F9B-5D33-465A-A702-920D77279786}") = "ConsoleApp2", "ConsoleApp2\ConsoleApp2.fsproj", "{D18D6A10-3AAB-4F2A-8CE6-C0D598A8E144}"
EndProject
Project("{F2A71F9B-5D33-465A-A702-920D77279786}") = "Solve.Test", "Solve.Test\Solve.Test.fsproj", "{A4D67E0D-4DE2-4F6F-A443-6BE3B735C173}"
EndProject
Global
GlobalSection(SolutionConfigurationPlatforms) = preSolution
Debug|Any CPU = Debug|Any CPU
Release|Any CPU = Release|Any CPU
EndGlobalSection
GlobalSection(ProjectConfigurationPlatforms) = postSolution
{D18D6A10-3AAB-4F2A-8CE6-C0D598A8E144}.Debug|Any CPU.ActiveCfg = Debug|Any CPU
{D18D6A10-3AAB-4F2A-8CE6-C0D598A8E144}.Debug|Any CPU.Build.0 = Debug|Any CPU
{D18D6A10-3AAB-4F2A-8CE6-C0D598A8E144}.Release|Any CPU.ActiveCfg = Release|Any CPU
{D18D6A10-3AAB-4F2A-8CE6-C0D598A8E144}.Release|Any CPU.Build.0 = Release|Any CPU
{A4D67E0D-4DE2-4F6F-A443-6BE3B735C173}.Debug|Any CPU.ActiveCfg = Debug|Any CPU
{A4D67E0D-4DE2-4F6F-A443-6BE3B735C173}.Debug|Any CPU.Build.0 = Debug|Any CPU
{A4D67E0D-4DE2-4F6F-A443-6BE3B735C173}.Release|Any CPU.ActiveCfg = Release|Any CPU
{A4D67E0D-4DE2-4F6F-A443-6BE3B735C173}.Release|Any CPU.Build.0 = Release|Any CPU
EndGlobalSection
EndGlobal

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namespace Solve
type BondSet =
private
| BondSet of ((int * int) * (int * int)) Set
[<RequireQualifiedAccess>]
module BondSet =
let sort a b = if a < b then (a, b) else (b, a)
let addIfOk ((sourceX, sourceY) as source) ((destX, destY) as dest) (BondSet bonds) : BondSet option =
let distance = abs (sourceX - destX) + abs (sourceY - destY)
if distance = 2 then
// Check the other
if sourceX < destX && sourceY < destY then
if bonds.Contains (sort (sourceX + 1, sourceY) (sourceX, sourceY + 1)) then
None
else
bonds
|> Set.add (sort source dest)
|> BondSet
|> Some
elif sourceX > destX && sourceY > destY then
if bonds.Contains (sort (sourceX - 1, sourceY) (sourceX, sourceY - 1)) then
None
else
bonds
|> Set.add (sort source dest)
|> BondSet
|> Some
elif sourceX < destX then
if bonds.Contains (sort (sourceX, sourceY - 1) (sourceX + 1, sourceY)) then
None
else
bonds
|> Set.add (sort source dest)
|> BondSet
|> Some
else
if bonds.Contains (sort (sourceX - 1, sourceY) (sourceX, sourceY + 1)) then
None
else
bonds
|> Set.add (sort source dest)
|> BondSet
|> Some
else
if distance <> 1 then failwith "bad assumption"
bonds
|> Set.add (sort source dest)
|> BondSet
|> Some
let empty = BondSet Set.empty
let directionList (BondSet s) =
let rec go (acc : _ list) (start : int * int) (s : Set<_>) =
if s.IsEmpty then List.rev (start :: acc) else
let next, toRem =
s
|> Seq.choose (fun (p1, p2) ->
if p1 = start then Some (p2, (p1, p2))
elif p2 = start then Some (p1, (p1, p2))
else None
)
|> Seq.exactlyOne
go (start :: acc) next (Set.remove toRem s)
go [] (0, 0) s

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<Project Sdk="Microsoft.NET.Sdk">
<PropertyGroup>
<OutputType>Exe</OutputType>
<TargetFramework>net7.0</TargetFramework>
</PropertyGroup>
<ItemGroup>
<Compile Include="Seq.fs" />
<Compile Include="BondSet.fs" />
<Compile Include="Program.fs" />
</ItemGroup>
</Project>

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ConsoleApp2/Program.fs Normal file
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namespace Solve
module Program =
let words =
[
"LEAD"
"BEAD"
"BEAR"
"BEAT"
"BOAT"
"BOOT"
"BOLT"
"COLT"
"CULT"
"CURT"
"CART"
"CARD"
"CARE"
"DARE"
"DANE"
"DONE"
"DONG"
"DING"
"MING"
"MINX"
"MIND"
"MEND"
"MELD"
"MEAD"
]
let instructions =
words @ [ List.head words ]
|> List.pairwise
|> List.map (fun (start, next) ->
let instruction =
[1..4]
|> List.filter (fun i ->
start.[i - 1] <> next.[i - 1]
)
|> List.exactlyOne
start, instruction
)
let restrict (board : Map<int * int, string>) =
if Seq.range (board.Keys |> Seq.map snd) > 5 then false
elif Seq.range (board.Keys |> Seq.map fst) > 7 then false
else true
let rec go
(currX : int)
(currY : int)
(bonds : BondSet)
(board : Map<int * int, string>)
(instructions : (string * int) list)
: _ list
=
//if not (restrict board) then [] else
match instructions with
| [] -> [board, BondSet.directionList bonds]
| (word, i) :: rest ->
// Place this word.
let newBoard =
board
|> Map.add (currX, currY) word
match i with
| 1 ->
// horizontal, i.e. change X
[
match Map.tryFind (currX + 1, currY) newBoard with
| None ->
match bonds |> BondSet.addIfOk (currX + 1, currY) (currX, currY) with
| None -> ()
| Some bonds ->
yield! go (currX + 1) currY bonds newBoard rest
| Some _ -> ()
match Map.tryFind (currX - 1, currY) newBoard with
| None ->
match bonds |> BondSet.addIfOk (currX - 1, currY) (currX, currY) with
| None -> ()
| Some bonds ->
yield! go (currX - 1) currY bonds newBoard rest
| Some _ -> ()
]
| 2 ->
// vertical, i.e. change Y
[
match Map.tryFind (currX, currY + 1) newBoard with
| None ->
match bonds |> BondSet.addIfOk (currX, currY + 1) (currX, currY) with
| None -> ()
| Some bonds ->
yield! go currX (currY + 1) bonds newBoard rest
| Some _ -> ()
match Map.tryFind (currX, currY - 1) newBoard with
| None ->
match bonds |> BondSet.addIfOk (currX, currY - 1) (currX, currY) with
| None -> ()
| Some bonds ->
yield! go currX (currY - 1) bonds newBoard rest
| Some _ -> ()
]
| 3 ->
// Bottom left to top right
[
match Map.tryFind (currX + 1, currY + 1) newBoard with
| None ->
match bonds |> BondSet.addIfOk (currX + 1, currY + 1) (currX, currY) with
| None -> ()
| Some bonds ->
yield! go (currX + 1) (currY + 1) bonds newBoard rest
| Some _ -> ()
match Map.tryFind (currX - 1, currY - 1) newBoard with
| None ->
match bonds |> BondSet.addIfOk (currX - 1, currY - 1) (currX, currY) with
| None -> ()
| Some bonds ->
yield! go (currX - 1) (currY - 1) bonds newBoard rest
| Some _ -> ()
]
| 4 ->
// Top left to bottom right
[
match Map.tryFind (currX - 1, currY + 1) newBoard with
| None ->
match bonds |> BondSet.addIfOk (currX - 1, currY + 1) (currX, currY) with
| None -> ()
| Some bonds ->
yield! go (currX - 1) (currY + 1) bonds newBoard rest
| Some _ -> ()
match Map.tryFind (currX + 1, currY - 1) newBoard with
| None ->
match bonds |> BondSet.addIfOk (currX + 1, currY - 1) (currX, currY) with
| None -> ()
| Some bonds ->
yield! go (currX + 1) (currY - 1) bonds newBoard rest
| Some _ -> ()
]
| _ -> failwith "bad direction"
let print ((x, y), s) =
printfn "%i, %i: %s" x y s
[<EntryPoint>]
let main _ =
let after =
instructions
|> go 0 0 BondSet.empty Map.empty
|> List.map (fun (examplePlacement, exampleBonds) ->
let munged =
exampleBonds
|> List.choose (fun (srcX, srcY) ->
match examplePlacement.TryFind (srcX, srcY) with
| Some w ->
Some ((srcX, srcY), w)
| None ->
None
)
munged
)
printfn "Before filtering, %i options" after.Length
after.[7000] |> List.iter print
let filtered =
after
|> List.filter (fun positions ->
let (endX, endY) = fst (List.last positions)
endY = 0 && (abs endX = 1)
)
printfn "%i total options" filtered.Length
0

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namespace Solve
[<RequireQualifiedAccess>]
module Seq =
let range (s : int seq) : int =
use e = s.GetEnumerator ()
if not (e.MoveNext ()) then 0 else
let mutable min = e.Current
let mutable max = e.Current
while e.MoveNext () do
if e.Current < min then min <- e.Current
if e.Current > max then max <- e.Current
max - min

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Solve.Test/Program.fs Normal file
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module Program =
[<EntryPoint>]
let main _ = 0

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<Project Sdk="Microsoft.NET.Sdk">
<PropertyGroup>
<TargetFramework>net7.0</TargetFramework>
<IsPackable>false</IsPackable>
<GenerateProgramFile>false</GenerateProgramFile>
</PropertyGroup>
<ItemGroup>
<Compile Include="UnitTest1.fs" />
<Compile Include="Program.fs" />
</ItemGroup>
<ItemGroup>
<PackageReference Include="FsCheck" Version="2.16.5" />
<PackageReference Include="FsUnit" Version="5.2.0" />
<PackageReference Include="Microsoft.NET.Test.Sdk" Version="17.3.2" />
<PackageReference Include="NUnit" Version="3.13.3" />
<PackageReference Include="NUnit3TestAdapter" Version="4.2.1" />
<PackageReference Include="NUnit.Analyzers" Version="3.3.0" />
<PackageReference Include="coverlet.collector" Version="3.1.2" />
</ItemGroup>
<ItemGroup>
<ProjectReference Include="..\ConsoleApp2\ConsoleApp2.fsproj" />
</ItemGroup>
</Project>

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Solve.Test/UnitTest1.fs Normal file
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namespace Solve.Test
open FsUnitTyped
open NUnit.Framework
open Solve
open FsCheck
[<TestFixture>]
module TestSeq =
[<Test>]
let ``Seq.range works`` () : unit =
Seq.range Seq.empty |> shouldEqual 0
let prop (i : int) (s : int list) =
let s = i :: s
Seq.range s
|> (=) (Seq.max s - Seq.min s)
prop
|> Check.QuickThrowOnFailure