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Add killer-sudoku-helper exercise #1294

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13 changes: 13 additions & 0 deletions config.json
Original file line number Diff line number Diff line change
Expand Up @@ -2205,6 +2205,19 @@
"strings"
],
"difficulty": 3
},
{
"slug": "killer-sudoku-helper",
"name": "Killer Sudoku Helper",
"uuid": "beb3f222-54b2-459c-9704-f2e6516542bb",
"practices": [
"lists"
],
"prerequisites": [
"lists",
"recursion"
],
"difficulty": 5
}
],
"foregone": [
Expand Down
7 changes: 7 additions & 0 deletions exercises/Exercises.sln
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Expand Up @@ -305,6 +305,8 @@ Project("{F2A71F9B-5D33-465A-A702-920D77279786}") = "Zipper", "practice\zipper\Z
EndProject
Project("{F2A71F9B-5D33-465A-A702-920D77279786}") = "ResistorColorTrio", "practice\resistor-color-trio\ResistorColorTrio.fsproj", "{1850FAE9-5ACB-41D0-91BB-AD17A1021248}"
EndProject
Project("{F2A71F9B-5D33-465A-A702-920D77279786}") = "KillerSudokuHelper", "practice\killer-sudoku-helper\KillerSudokuHelper.fsproj", "{FCE9E627-CFF9-4EF3-84BE-D42B354825AA}"
EndProject
Global
GlobalSection(SolutionConfigurationPlatforms) = preSolution
Debug|Any CPU = Debug|Any CPU
Expand Down Expand Up @@ -898,6 +900,10 @@ Global
{1850FAE9-5ACB-41D0-91BB-AD17A1021248}.Debug|Any CPU.Build.0 = Debug|Any CPU
{1850FAE9-5ACB-41D0-91BB-AD17A1021248}.Release|Any CPU.ActiveCfg = Release|Any CPU
{1850FAE9-5ACB-41D0-91BB-AD17A1021248}.Release|Any CPU.Build.0 = Release|Any CPU
{FCE9E627-CFF9-4EF3-84BE-D42B354825AA}.Debug|Any CPU.ActiveCfg = Debug|Any CPU
{FCE9E627-CFF9-4EF3-84BE-D42B354825AA}.Debug|Any CPU.Build.0 = Debug|Any CPU
{FCE9E627-CFF9-4EF3-84BE-D42B354825AA}.Release|Any CPU.ActiveCfg = Release|Any CPU
{FCE9E627-CFF9-4EF3-84BE-D42B354825AA}.Release|Any CPU.Build.0 = Release|Any CPU
EndGlobalSection
GlobalSection(NestedProjects) = preSolution
{B404AA3C-A226-409A-A035-6C1DC66940DD} = {B7E719DB-FB8D-43B4-B529-55FCF6E3DC3F}
Expand Down Expand Up @@ -1049,5 +1055,6 @@ Global
{A6E25412-34F6-49ED-834B-8A551CF3F2D3} = {391BEEC4-91A8-43F3-AE94-D5CB9A8FA611}
{32F8738C-2782-4881-95C0-C621DC0D7ED9} = {391BEEC4-91A8-43F3-AE94-D5CB9A8FA611}
{1850FAE9-5ACB-41D0-91BB-AD17A1021248} = {391BEEC4-91A8-43F3-AE94-D5CB9A8FA611}
{FCE9E627-CFF9-4EF3-84BE-D42B354825AA} = {391BEEC4-91A8-43F3-AE94-D5CB9A8FA611}
EndGlobalSection
EndGlobal
12 changes: 12 additions & 0 deletions exercises/practice/killer-sudoku-helper/.config/dotnet-tools.json
Original file line number Diff line number Diff line change
@@ -0,0 +1,12 @@
{
"version": 1,
"isRoot": true,
"tools": {
"fantomas-tool": {
"version": "4.7.9",
"commands": [
"fantomas"
]
}
}
}
85 changes: 85 additions & 0 deletions exercises/practice/killer-sudoku-helper/.docs/instructions.md
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@@ -0,0 +1,85 @@
# Instructions

A friend of yours is learning how to solve Killer Sudokus (rules below) but struggling to figure out which digits can go in a cage.
They ask you to help them out by writing a small program that lists all valid combinations for a given cage, and any constraints that affect the cage.

To make the output of your program easy to read, the combinations it returns must be sorted.

## Killer Sudoku Rules

- [Standard Sudoku rules][sudoku-rules] apply.
- The digits in a cage, usually marked by a dotted line, add up to the small number given in the corner of the cage.
- A digit may only occur once in a cage.

For a more detailed explanation, check out [this guide][killer-guide].

## Example 1: Cage with only 1 possible combination

In a 3-digit cage with a sum of 7, there is only one valid combination: 124.

- 1 + 2 + 4 = 7
- Any other combination that adds up to 7, e.g. 232, would violate the rule of not repeating digits within a cage.

![Sudoku grid, with three killer cages that are marked as grouped together.
The first killer cage is in the 3×3 box in the top left corner of the grid.
The middle column of that box forms the cage, with the followings cells from top to bottom: first cell contains a 1 and a pencil mark of 7, indicating a cage sum of 7, second cell contains a 2, third cell contains a 5.
The numbers are highlighted in red to indicate a mistake.
The second killer cage is in the central 3×3 box of the grid.
The middle column of that box forms the cage, with the followings cells from top to bottom: first cell contains a 1 and a pencil mark of 7, indicating a cage sum of 7, second cell contains a 2, third cell contains a 4.
None of the numbers in this cage are highlighted and therefore don't contain any mistakes.
The third killer cage follows the outside corner of the central 3×3 box of the grid.
It is made up of the following three cells: the top left cell of the cage contains a 2, highlighted in red, and a cage sum of 7.
The top right cell of the cage contains a 3.
The bottom right cell of the cage contains a 2, highlighted in red. All other cells are empty.][one-solution-img]

## Example 2: Cage with several combinations

In a 2-digit cage with a sum 10, there are 4 possible combinations:

- 19
- 28
- 37
- 46

![Sudoku grid, all squares empty except for the middle column, column 5, which has 8 rows filled.
Each continguous two rows form a killer cage and are marked as grouped together.
From top to bottom: first group is a cell with value 1 and a pencil mark indicating a cage sum of 10, cell with value 9.
Second group is a cell with value 2 and a pencil mark of 10, cell with value 8.
Third group is a cell with value 3 and a pencil mark of 10, cell with value 7.
Fourth group is a cell with value 4 and a pencil mark of 10, cell with value 6.
The last cell in the column is empty.][four-solutions-img]

## Example 3: Cage with several combinations that is restricted

In a 2-digit cage with a sum 10, where the column already contains a 1 and a 4, there are 2 possible combinations:

- 28
- 37

19 and 46 are not possible due to the 1 and 4 in the column according to standard Sudoku rules.

![Sudoku grid, all squares empty except for the middle column, column 5, which has 8 rows filled.
The first row contains a 4, the second is empty, and the third contains a 1.
The 1 is highlighted in red to indicate a mistake.
The last 6 rows in the column form killer cages of two cells each.
From top to bottom: first group is a cell with value 2 and a pencil mark indicating a cage sum of 10, cell with value 8.
Second group is a cell with value 3 and a pencil mark of 10, cell with value 7.
Third group is a cell with value 1, highlighted in red, and a pencil mark of 10, cell with value 9.][not-possible-img]

## Trying it yourself

If you want to give an approachable Killer Sudoku a go, you can try out [this puzzle][clover-puzzle] by Clover, featured by [Mark Goodliffe on Cracking The Cryptic on the 21st of June 2021][goodliffe-video].

You can also find Killer Sudokus in varying difficulty in numerous newspapers, as well as Sudoku apps, books and websites.

## Credit

The screenshots above have been generated using [F-Puzzles.com](https://www.f-puzzles.com/), a Puzzle Setting Tool by Eric Fox.

[sudoku-rules]: https://masteringsudoku.com/sudoku-rules-beginners/
[killer-guide]: https://masteringsudoku.com/killer-sudoku/
[one-solution-img]: https://assets.exercism.org/images/exercises/killer-sudoku-helper/example1.png
[four-solutions-img]: https://assets.exercism.org/images/exercises/killer-sudoku-helper/example2.png
[not-possible-img]: https://assets.exercism.org/images/exercises/killer-sudoku-helper/example3.png
[clover-puzzle]: https://app.crackingthecryptic.com/sudoku/HqTBn3Pr6R
[goodliffe-video]: https://youtu.be/c_NjEbFEeW0?t=1180
16 changes: 16 additions & 0 deletions exercises/practice/killer-sudoku-helper/.meta/Example.fs
Original file line number Diff line number Diff line change
@@ -0,0 +1,16 @@
module KillerSudokuHelper

module List =
let rec combinations n l =
match n, l with
| 0, _ -> [ [] ]
| _, [] -> []
| k, (x :: xs) ->
List.map ((@) [ x ]) (combinations (k - 1) xs)
@ combinations k xs

let combinations sum size exclude =
[ 1..9 ]
|> List.except exclude
|> List.combinations size
|> List.filter (fun combination -> List.sum combination = sum)
19 changes: 19 additions & 0 deletions exercises/practice/killer-sudoku-helper/.meta/config.json
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@@ -0,0 +1,19 @@
{
"authors": [
"erikschierboom"
],
"files": {
"solution": [
"KillerSudokuHelper.fs"
],
"test": [
"KillerSudokuHelperTests.fs"
],
"example": [
".meta/Example.fs"
]
},
"blurb": "Write a tool that makes it easier to solve Killer Sudokus",
"source": "Created by Sascha Mann, Jeremy Walker, and BethanyG for the Julia track on Exercism.",
"source_url": "https://github.com/exercism/julia/pull/413"
}
49 changes: 49 additions & 0 deletions exercises/practice/killer-sudoku-helper/.meta/tests.toml
Original file line number Diff line number Diff line change
@@ -0,0 +1,49 @@
# This is an auto-generated file.
#
# Regenerating this file via `configlet sync` will:
# - Recreate every `description` key/value pair
# - Recreate every `reimplements` key/value pair, where they exist in problem-specifications
# - Remove any `include = true` key/value pair (an omitted `include` key implies inclusion)
# - Preserve any other key/value pair
#
# As user-added comments (using the # character) will be removed when this file
# is regenerated, comments can be added via a `comment` key.

[2aaa8f13-11b5-4054-b95c-a906e4d79fb6]
description = "Trivial 1-digit cages -> 1"

[4645da19-9fdd-4087-a910-a6ed66823563]
description = "Trivial 1-digit cages -> 2"

[07cfc704-f8aa-41b2-8f9a-cbefb674cb48]
description = "Trivial 1-digit cages -> 3"

[22b8b2ba-c4fd-40b3-b1bf-40aa5e7b5f24]
description = "Trivial 1-digit cages -> 4"

[b75d16e2-ff9b-464d-8578-71f73094cea7]
description = "Trivial 1-digit cages -> 5"

[bcbf5afc-4c89-4ff6-9357-07ab4d42788f]
description = "Trivial 1-digit cages -> 6"

[511b3bf8-186f-4e35-844f-c804d86f4a7a]
description = "Trivial 1-digit cages -> 7"

[bd09a60d-3aca-43bd-b6aa-6ccad01bedda]
description = "Trivial 1-digit cages -> 8"

[9b539f27-44ea-4ff8-bd3d-c7e136bee677]
description = "Trivial 1-digit cages -> 9"

[0a8b2078-b3a4-4dbd-be0d-b180f503d5c3]
description = "Cage with sum 45 contains all digits 1:9"

[2635d7c9-c716-4da1-84f1-c96e03900142]
description = "Cage with only 1 possible combination"

[a5bde743-e3a2-4a0c-8aac-e64fceea4228]
description = "Cage with several combinations"

[dfbf411c-737d-465a-a873-ca556360c274]
description = "Cage with several combinations that is restricted"
4 changes: 4 additions & 0 deletions exercises/practice/killer-sudoku-helper/KillerSudokuHelper.fs
Original file line number Diff line number Diff line change
@@ -0,0 +1,4 @@
module KillerSudokuHelper

let combinations sum size exclude =
failwith "Please implement the 'combinations' function"
22 changes: 22 additions & 0 deletions exercises/practice/killer-sudoku-helper/KillerSudokuHelper.fsproj
Original file line number Diff line number Diff line change
@@ -0,0 +1,22 @@
<Project Sdk="Microsoft.NET.Sdk">
<PropertyGroup>
<TargetFramework>net8.0</TargetFramework>
<IsPackable>false</IsPackable>
<GenerateProgramFile>false</GenerateProgramFile>
<IsTestProject>true</IsTestProject>
</PropertyGroup>
<ItemGroup>
<Compile Include="KillerSudokuHelper.fs" />
<Compile Include="KillerSudokuHelperTests.fs" />
</ItemGroup>
<ItemGroup>
<PackageReference Include="Exercism.Tests" Version="0.1.0-beta1" />
<PackageReference Include="FsUnit.xUnit" Version="4.0.4" />
<PackageReference Include="Microsoft.NET.Test.Sdk" Version="16.8.3" />
<PackageReference Include="xunit" Version="2.4.1" />
<PackageReference Include="xunit.runner.visualstudio" Version="2.4.3">
<IncludeAssets>runtime; build; native; contentfiles; analyzers; buildtransitive</IncludeAssets>
<PrivateAssets>all</PrivateAssets>
</PackageReference>
</ItemGroup>
</Project>
67 changes: 67 additions & 0 deletions exercises/practice/killer-sudoku-helper/KillerSudokuHelperTests.fs
Original file line number Diff line number Diff line change
@@ -0,0 +1,67 @@
module KillerSudokuHelperTests

open FsUnit.Xunit
open Xunit

open KillerSudokuHelper

[<Fact>]
let ``1`` () =
combinations 1 1 [] |> should equal [ [ 1 ] ]

[<Fact(Skip = "Remove this Skip property to run this test")>]
let ``2`` () =
combinations 2 1 [] |> should equal [ [ 2 ] ]

[<Fact(Skip = "Remove this Skip property to run this test")>]
let ``3`` () =
combinations 3 1 [] |> should equal [ [ 3 ] ]

[<Fact(Skip = "Remove this Skip property to run this test")>]
let ``4`` () =
combinations 4 1 [] |> should equal [ [ 4 ] ]

[<Fact(Skip = "Remove this Skip property to run this test")>]
let ``5`` () =
combinations 5 1 [] |> should equal [ [ 5 ] ]

[<Fact(Skip = "Remove this Skip property to run this test")>]
let ``6`` () =
combinations 6 1 [] |> should equal [ [ 6 ] ]

[<Fact(Skip = "Remove this Skip property to run this test")>]
let ``7`` () =
combinations 7 1 [] |> should equal [ [ 7 ] ]

[<Fact(Skip = "Remove this Skip property to run this test")>]
let ``8`` () =
combinations 8 1 [] |> should equal [ [ 8 ] ]

[<Fact(Skip = "Remove this Skip property to run this test")>]
let ``9`` () =
combinations 9 1 [] |> should equal [ [ 9 ] ]

[<Fact(Skip = "Remove this Skip property to run this test")>]
let ``Cage with sum 45 contains all digits 1:9`` () =
combinations 45 9 []
|> should equal [ [ 1; 2; 3; 4; 5; 6; 7; 8; 9 ] ]

[<Fact(Skip = "Remove this Skip property to run this test")>]
let ``Cage with only 1 possible combination`` () =
combinations 7 3 []
|> should equal [ [ 1; 2; 4 ] ]

[<Fact(Skip = "Remove this Skip property to run this test")>]
let ``Cage with several combinations`` () =
combinations 10 2 []
|> should
equal
[ [ 1; 9 ]
[ 2; 8 ]
[ 3; 7 ]
[ 4; 6 ] ]

[<Fact(Skip = "Remove this Skip property to run this test")>]
let ``Cage with several combinations that is restricted`` () =
combinations 10 2 [ 1; 4 ]
|> should equal [ [ 2; 8 ]; [ 3; 7 ] ]
3 changes: 3 additions & 0 deletions generators/Generators.fs
Original file line number Diff line number Diff line change
Expand Up @@ -2050,3 +2050,6 @@ type BottleSong() =

type ResistorColorTrio() =
inherit ExerciseGenerator()

type KillerSudokuHelper() =
inherit ExerciseGenerator()
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