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Add killer-sudoku-helper exercise #787

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12 changes: 12 additions & 0 deletions config.json
Original file line number Diff line number Diff line change
Expand Up @@ -1318,6 +1318,18 @@
],
"difficulty": 6
},
{
"slug": "killer-sudoku-helper",
"name": "Killer Sudoku Helper",
"uuid": "c8b4c5e9-6567-48fe-b01a-462cbbf84805",
"practices": [],
"prerequisites": [
"numbers",
"conditionals",
"vectors"
],
"difficulty": 6
},
{
"slug": "robot-simulator",
"name": "Robot Simulator",
Expand Down
85 changes: 85 additions & 0 deletions exercises/practice/killer-sudoku-helper/.docs/instructions.md
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# 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
19 changes: 19 additions & 0 deletions exercises/practice/killer-sudoku-helper/.meta/config.json
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{
"authors": [
"erikschierboom"
],
"files": {
"solution": [
"src/killer_sudoku_helper.clj"
],
"test": [
"test/killer_sudoku_helper_test.clj"
],
"example": [
".meta/example.clj"
]
},
"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"
}
18 changes: 18 additions & 0 deletions exercises/practice/killer-sudoku-helper/.meta/example.clj
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(ns killer-sudoku-helper)

(def digits (set (range 1 10)))

(defn combinations-of-size [coll size]
(cond
(zero? size) '(())
(empty? coll) '()
:else (concat (map (fn [x] (cons (first coll) x))
(combinations-of-size (rest coll) (dec size)))
(combinations-of-size (rest coll) size))))

(defn combinations [{:keys [sum size exclude]}]
(let [valid-digits (apply disj digits exclude)]
(sort
(for [combination (combinations-of-size valid-digits size)
:when (= sum (apply + combination))]
(into [] (sort combination))))))
9 changes: 9 additions & 0 deletions exercises/practice/killer-sudoku-helper/.meta/generator.tpl
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(ns killer-sudoku-helper-test
(:require [clojure.test :refer [deftest testing is]]
killer-sudoku-helper))

{{#test_cases.combinations}}
(deftest combinations_test_{{idx}}
(testing {{description}}
(is (= {{expected}} (killer-sudoku-helper/combinations {:sum {{input.cage.sum}} :size {{input.cage.size}} :exclude {{input.cage.exclude~}} })))))
{{/test_cases.combinations}}
49 changes: 49 additions & 0 deletions exercises/practice/killer-sudoku-helper/.meta/tests.toml
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# 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"
6 changes: 6 additions & 0 deletions exercises/practice/killer-sudoku-helper/deps.edn
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{:aliases {:test {:extra-paths ["test"]
:extra-deps {io.github.cognitect-labs/test-runner
{:git/url "https://github.com/cognitect-labs/test-runner.git"
:sha "705ad25bbf0228b1c38d0244a36001c2987d7337"}}
:main-opts ["-m" "cognitect.test-runner"]
:exec-fn cognitect.test-runner.api/test}}}
4 changes: 4 additions & 0 deletions exercises/practice/killer-sudoku-helper/project.clj
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(defproject killer-sudoku-helper "0.1.0-SNAPSHOT"
:description "killer-sudoku-helper exercise."
:url "https://github.com/exercism/clojure/tree/main/exercises/practice/killer-sudoku-helper"
:dependencies [[org.clojure/clojure "1.11.1"]])
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(ns killer-sudoku-helper)

(defn combinations
"Returns the valid combinations for a given cage."
[cage]
;; function body
)
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(ns killer-sudoku-helper-test
(:require [clojure.test :refer [deftest testing is]]
killer-sudoku-helper))

(deftest combinations_test_1
(testing "Trivial 1-digit cages ▶ 1"
(is (= [[1]] (killer-sudoku-helper/combinations {:sum 1 :size 1 :exclude []})))))

(deftest combinations_test_2
(testing "Trivial 1-digit cages ▶ 2"
(is (= [[2]] (killer-sudoku-helper/combinations {:sum 2 :size 1 :exclude []})))))

(deftest combinations_test_3
(testing "Trivial 1-digit cages ▶ 3"
(is (= [[3]] (killer-sudoku-helper/combinations {:sum 3 :size 1 :exclude []})))))

(deftest combinations_test_4
(testing "Trivial 1-digit cages ▶ 4"
(is (= [[4]] (killer-sudoku-helper/combinations {:sum 4 :size 1 :exclude []})))))

(deftest combinations_test_5
(testing "Trivial 1-digit cages ▶ 5"
(is (= [[5]] (killer-sudoku-helper/combinations {:sum 5 :size 1 :exclude []})))))

(deftest combinations_test_6
(testing "Trivial 1-digit cages ▶ 6"
(is (= [[6]] (killer-sudoku-helper/combinations {:sum 6 :size 1 :exclude []})))))

(deftest combinations_test_7
(testing "Trivial 1-digit cages ▶ 7"
(is (= [[7]] (killer-sudoku-helper/combinations {:sum 7 :size 1 :exclude []})))))

(deftest combinations_test_8
(testing "Trivial 1-digit cages ▶ 8"
(is (= [[8]] (killer-sudoku-helper/combinations {:sum 8 :size 1 :exclude []})))))

(deftest combinations_test_9
(testing "Trivial 1-digit cages ▶ 9"
(is (= [[9]] (killer-sudoku-helper/combinations {:sum 9 :size 1 :exclude []})))))

(deftest combinations_test_10
(testing "Cage with sum 45 contains all digits 1:9"
(is (= [[1 2 3 4 5 6 7 8 9]] (killer-sudoku-helper/combinations {:sum 45 :size 9 :exclude []})))))

(deftest combinations_test_11
(testing "Cage with only 1 possible combination"
(is (= [[1 2 4]] (killer-sudoku-helper/combinations {:sum 7 :size 3 :exclude []})))))

(deftest combinations_test_12
(testing "Cage with several combinations"
(is (= [[1 9] [2 8] [3 7] [4 6]] (killer-sudoku-helper/combinations {:sum 10 :size 2 :exclude []})))))

(deftest combinations_test_13
(testing "Cage with several combinations that is restricted"
(is (= [[2 8] [3 7]] (killer-sudoku-helper/combinations {:sum 10 :size 2 :exclude [1 4]})))))