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Add killer-sudoku-helper exercise (#385)
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ErikSchierboom authored Jan 22, 2025
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8 changes: 8 additions & 0 deletions config.json
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"practices": [],
"prerequisites": [],
"difficulty": 5
},
{
"slug": "killer-sudoku-helper",
"name": "Killer Sudoku Helper",
"uuid": "991e4ae4-34ec-4c5e-a9f7-b83c45919ad6",
"practices": [],
"prerequisites": [],
"difficulty": 5
}
]
},
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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": [
"killer-sudoku-helper.R"
],
"test": [
"test_killer-sudoku-helper.R"
],
"example": [
".meta/example.R"
]
},
"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"
}
6 changes: 6 additions & 0 deletions exercises/practice/killer-sudoku-helper/.meta/example.R
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combinations <- function(size, goal_sum, exclude) {
candidates <- c(1:9) |>
setdiff(exclude) |>
combn(size, simplify = FALSE)
candidates[lapply(candidates, sum) == goal_sum]
}
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"
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combinations <- function(size, goal_sum, exclude) {

}
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source("./killer-sudoku-helper.R")
library(testthat)

test_that("1", {
expected <- list(c(1))
expect_equal(expected, combinations(1, 1, c()))
})

test_that("2", {
expected <- list(c(2))
expect_equal(expected, combinations(1, 2, c()))
})

test_that("3", {
expected <- list(c(3))
expect_equal(expected, combinations(1, 3, c()))
})

test_that("4", {
expected <- list(c(4))
expect_equal(expected, combinations(1, 4, c()))
})

test_that("5", {
expected <- list(c(5))
expect_equal(expected, combinations(1, 5, c()))
})

test_that("6", {
expected <- list(c(6))
expect_equal(expected, combinations(1, 6, c()))
})

test_that("7", {
expected <- list(c(7))
expect_equal(expected, combinations(1, 7, c()))
})

test_that("8", {
expected <- list(c(8))
expect_equal(expected, combinations(1, 8, c()))
})

test_that("9", {
expected <- list(c(9))
expect_equal(expected, combinations(1, 9, c()))
})

test_that("Cage with sum 45 contains all digits 1:9", {
expected <- list(c(1, 2, 3, 4, 5, 6, 7, 8, 9))
expect_equal(expected, combinations(9, 45, c()))
})

test_that("Cage with only 1 possible combination", {
expected <- list(c(1, 2, 4))
expect_equal(expected, combinations(3, 7, c()))
})

test_that("Cage with several combinations", {
expected <- list(c(1, 9), c(2, 8), c(3, 7), c(4, 6))
expect_equal(expected, combinations(2, 10, c()))
})

test_that("Cage with several combinations that is restricted", {
expected <- list(c(2, 8), c(3, 7))
expect_equal(expected, combinations(2, 10, c(1, 4)))
})

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