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Add zebra-puzzle exercise #475

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12 changes: 12 additions & 0 deletions config.json
Original file line number Diff line number Diff line change
Expand Up @@ -1833,6 +1833,18 @@
"recursion"
],
"difficulty": 4
},
{
"slug": "zebra-puzzle",
"name": "Zebra Puzzle",
"uuid": "82a312b6-5d71-4119-b3b0-211d572c17c8",
"practices": [
"results"
],
"prerequisites": [
"recursion"
],
"difficulty": 9
}
]
},
Expand Down
32 changes: 32 additions & 0 deletions exercises/practice/zebra-puzzle/.docs/instructions.md
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# Instructions

Your task is to solve the Zebra Puzzle to find the answer to these two questions:

- Which of the residents drinks water?
- Who owns the zebra?

## Puzzle

The following 15 statements are all known to be true:

1. There are five houses.
2. The Englishman lives in the red house.
3. The Spaniard owns the dog.
4. Coffee is drunk in the green house.
5. The Ukrainian drinks tea.
6. The green house is immediately to the right of the ivory house.
7. The Old Gold smoker owns snails.
8. Kools are smoked in the yellow house.
9. Milk is drunk in the middle house.
10. The Norwegian lives in the first house.
11. The man who smokes Chesterfields lives in the house next to the man with the fox.
12. Kools are smoked in the house next to the house where the horse is kept.
13. The Lucky Strike smoker drinks orange juice.
14. The Japanese smokes Parliaments.
15. The Norwegian lives next to the blue house.

Additionally, each of the five houses is painted a different color, and their inhabitants are of different national extractions, own different pets, drink different beverages and smoke different brands of cigarettes.

~~~~exercism/note
There are 24 billion (5!⁵ = 24,883,200,000) possible solutions, so try ruling out as many solutions as possible.
~~~~
15 changes: 15 additions & 0 deletions exercises/practice/zebra-puzzle/.docs/introduction.md
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# Introduction

The Zebra Puzzle is a famous logic puzzle in which there are five houses, each painted a different color.
The houses have different inhabitants, who have different nationalities, own different pets, drink different beverages and smoke different brands of cigarettes.

To help you solve the puzzle, you're given 15 statements describing the solution.
However, only by combining the information in _all_ statements will you be able to find the solution to the puzzle.

~~~~exercism/note
The Zebra Puzzle is a [Constraint satisfaction problem (CSP)][constraint-satisfaction-problem].
In such a problem, you have a set of possible values and a set of constraints that limit which values are valid.
Another well-known CSP is Sudoku.

[constraint-satisfaction-problem]: https://en.wikipedia.org/wiki/Constraint_satisfaction_problem
~~~~
17 changes: 17 additions & 0 deletions exercises/practice/zebra-puzzle/.meta/config.json
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{
"authors": [],
"files": {
"solution": [
"src/zebra_puzzle.gleam"
],
"test": [
"test/zebra_puzzle_test.gleam"
],
"example": [
".meta/example.gleam"
]
},
"blurb": "Solve the zebra puzzle.",
"source": "Wikipedia",
"source_url": "https://en.wikipedia.org/wiki/Zebra_Puzzle"
}
254 changes: 254 additions & 0 deletions exercises/practice/zebra-puzzle/.meta/example.gleam
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import gleam/dict.{type Dict}
import gleam/list
import gleam/result

pub fn water_drinker() -> Result(String, Nil) {
solve()
|> result.map(fn(solution) { solution.water_drinker })
}

pub fn zebra_owner() -> Result(String, Nil) {
solve()
|> result.map(fn(solution) { solution.zebra_owner })
}

type Solution {
Solution(water_drinker: String, zebra_owner: String)
}

type Parameters =
Dict(String, Int)

type Nationalities =
Dict(Int, String)

fn solve() -> Result(Solution, Nil) {
solve_for_colour(
houses()
|> list.permutations(),
dict.new(),
)
}

fn houses() {
// clue 1
[1, 2, 3, 4, 5]
}

fn right_of(a: Int, b: Int) -> Bool {
a == b + 1
}

fn next_to(a: Int, b: Int) -> Bool {
right_of(a, b) || right_of(b, a)
}

fn first() {
1
}

fn middle() {
3
}

fn solve_for_colour(
permutations: List(List(Int)),
parameters: Parameters,
) -> Result(Solution, Nil) {
case permutations {
[] -> Error(Nil)
[perm, ..rest] -> {
let assert [red, green, ivory, yellow, blue] = perm

// clue 6
case right_of(green, ivory) {
False -> solve_for_colour(rest, parameters)
True -> {
let parameters =
parameters
|> dict.insert("red", red)
|> dict.insert("blue", blue)
|> dict.insert("green", green)
|> dict.insert("ivory", ivory)
|> dict.insert("yellow", yellow)
case
solve_for_nationalities(
houses()
|> list.permutations(),
parameters,
)
{
Error(Nil) -> solve_for_colour(rest, parameters)
Ok(result) -> Ok(result)
}
}
}
}
}
}

fn solve_for_nationalities(
permutations: List(List(Int)),
parameters: Parameters,
) -> Result(Solution, Nil) {
case permutations {
[] -> Error(Nil)
[perm, ..rest] -> {
let assert [english, spanish, ukranian, norwegian, japanese] = perm
let assert Ok(red) = dict.get(parameters, "red")
let assert Ok(blue) = dict.get(parameters, "blue")

// clues: 2, 10, 15
case english == red && norwegian == first() && next_to(norwegian, blue) {
False -> solve_for_nationalities(rest, parameters)
True -> {
let parameters =
parameters
|> dict.insert("english", english)
|> dict.insert("spanish", spanish)
|> dict.insert("ukranian", ukranian)
|> dict.insert("japanese", japanese)
|> dict.insert("norwegian", norwegian)
let nationalities =
dict.from_list([
#(english, "EnglishMan"),
#(spanish, "Spaniard"),
#(ukranian, "Ukranian"),
#(japanese, "Japanese"),
#(norwegian, "Norwegian"),
])
case
solve_for_beverages(
houses()
|> list.permutations(),
parameters,
nationalities,
)
{
Error(Nil) -> solve_for_nationalities(rest, parameters)
Ok(result) -> Ok(result)
}
}
}
}
}
}

fn solve_for_beverages(
permutations: List(List(Int)),
parameters: Parameters,
nationalities: Nationalities,
) -> Result(Solution, Nil) {
case permutations {
[] -> Error(Nil)
[perm, ..rest] -> {
let assert [coffee, tea, milk, orange_juice, water] = perm
let assert Ok(green) = dict.get(parameters, "green")
let assert Ok(ukranian) = dict.get(parameters, "ukranian")

// clues: 4, 5, 9
case coffee == green && tea == ukranian && milk == middle() {
False -> solve_for_beverages(rest, parameters, nationalities)
True -> {
let parameters =
parameters
|> dict.insert("tea", tea)
|> dict.insert("milk", milk)
|> dict.insert("water", water)
|> dict.insert("coffee", coffee)
|> dict.insert("orange_juice", orange_juice)
case
solve_for_cigarettes(
houses()
|> list.permutations(),
parameters,
nationalities,
)
{
Error(Nil) -> solve_for_beverages(rest, parameters, nationalities)
Ok(result) -> Ok(result)
}
}
}
}
}
}

fn solve_for_cigarettes(
permutations: List(List(Int)),
parameters: Parameters,
nationalities: Nationalities,
) -> Result(Solution, Nil) {
case permutations {
[] -> Error(Nil)
[perm, ..rest] -> {
let assert [old_gold, kools, chesterfields, lucky_strike, parliaments] =
perm
let assert Ok(yellow) = dict.get(parameters, "yellow")
let assert Ok(japanese) = dict.get(parameters, "japanese")
let assert Ok(orange_juice) = dict.get(parameters, "orange_juice")

// clues: 8, 13, 14
case
kools == yellow
&& lucky_strike == orange_juice
&& parliaments == japanese
{
False -> solve_for_cigarettes(rest, parameters, nationalities)
True -> {
let parameters =
parameters
|> dict.insert("kools", kools)
|> dict.insert("old_gold", old_gold)
|> dict.insert("lucky_strike", lucky_strike)
|> dict.insert("parliaments", parliaments)
|> dict.insert("chesterfields", chesterfields)
case
solve_for_pets(
houses()
|> list.permutations(),
parameters,
nationalities,
)
{
Error(Nil) -> solve_for_cigarettes(rest, parameters, nationalities)
Ok(result) -> Ok(result)
}
}
}
}
}
}

fn solve_for_pets(
permutations: List(List(Int)),
parameters: Parameters,
nationalities: Nationalities,
) -> Result(Solution, Nil) {
case permutations {
[] -> Error(Nil)
[perm, ..rest] -> {
let assert [dog, snails, fox, horse, zebra] = perm
let assert Ok(kools) = dict.get(parameters, "kools")
let assert Ok(spanish) = dict.get(parameters, "spanish")
let assert Ok(old_gold) = dict.get(parameters, "old_gold")
let assert Ok(chesterfields) = dict.get(parameters, "chesterfields")

// clues: 3, 7, 11, 12
case
dog == spanish
&& snails == old_gold
&& next_to(fox, chesterfields)
&& next_to(horse, kools)
{
False -> solve_for_pets(rest, parameters, nationalities)
True -> {
let assert Ok(water) = dict.get(parameters, "water")
let assert Ok(water_owner) = dict.get(nationalities, water)
let assert Ok(zebra_owner) = dict.get(nationalities, zebra)
Ok(Solution(water_owner, zebra_owner))
}
}
}
}
}
16 changes: 16 additions & 0 deletions exercises/practice/zebra-puzzle/.meta/tests.toml
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@@ -0,0 +1,16 @@
# 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.

[16efb4e4-8ad7-4d5e-ba96-e5537b66fd42]
description = "resident who drinks water"

[084d5b8b-24e2-40e6-b008-c800da8cd257]
description = "resident who owns zebra"
12 changes: 12 additions & 0 deletions exercises/practice/zebra-puzzle/gleam.toml
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name = "zebra_puzzle"
version = "0.1.0"

[dependencies]
gleam_bitwise = "~> 1.2"
gleam_otp = "~> 0.7 or ~> 1.0"
gleam_stdlib = "~> 0.32 or ~> 1.0"
simplifile = "~> 1.0"
gleam_erlang = ">= 0.25.0 and < 1.0.0"

[dev-dependencies]
exercism_test_runner = "~> 1.4"
27 changes: 27 additions & 0 deletions exercises/practice/zebra-puzzle/manifest.toml
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@@ -0,0 +1,27 @@
# This file was generated by Gleam
# You typically do not need to edit this file

packages = [
{ name = "argv", version = "1.0.1", build_tools = ["gleam"], requirements = [], otp_app = "argv", source = "hex", outer_checksum = "A6E9009E50BBE863EB37D963E4315398D41A3D87D0075480FC244125808F964A" },
{ name = "exercism_test_runner", version = "1.7.0", build_tools = ["gleam"], requirements = ["argv", "gap", "glance", "gleam_community_ansi", "gleam_erlang", "gleam_json", "gleam_stdlib", "simplifile"], otp_app = "exercism_test_runner", source = "hex", outer_checksum = "2FC1BADB19BEC2AE77BFD2D3A606A014C85412A7B874CAFC4BA8CF04B0B257CD" },
{ name = "gap", version = "1.1.0", build_tools = ["gleam"], requirements = ["gleam_community_ansi", "gleam_stdlib"], otp_app = "gap", source = "hex", outer_checksum = "2EE1B0A17E85CF73A0C1D29DA315A2699117A8F549C8E8D89FA8261BE41EDEB1" },
{ name = "glance", version = "0.8.2", build_tools = ["gleam"], requirements = ["gleam_stdlib", "glexer"], otp_app = "glance", source = "hex", outer_checksum = "ACF09457E8B564AD7A0D823DAFDD326F58263C01ACB0D432A9BEFDEDD1DA8E73" },
{ name = "gleam_bitwise", version = "1.3.1", build_tools = ["gleam"], requirements = [], otp_app = "gleam_bitwise", source = "hex", outer_checksum = "B36E1D3188D7F594C7FD4F43D0D2CE17561DE896202017548578B16FE1FE9EFC" },
{ name = "gleam_community_ansi", version = "1.4.0", build_tools = ["gleam"], requirements = ["gleam_community_colour", "gleam_stdlib"], otp_app = "gleam_community_ansi", source = "hex", outer_checksum = "FE79E08BF97009729259B6357EC058315B6FBB916FAD1C2FF9355115FEB0D3A4" },
{ name = "gleam_community_colour", version = "1.3.0", build_tools = ["gleam"], requirements = ["gleam_stdlib"], otp_app = "gleam_community_colour", source = "hex", outer_checksum = "A49A5E3AE8B637A5ACBA80ECB9B1AFE89FD3D5351FF6410A42B84F666D40D7D5" },
{ name = "gleam_erlang", version = "0.25.0", build_tools = ["gleam"], requirements = ["gleam_stdlib"], otp_app = "gleam_erlang", source = "hex", outer_checksum = "054D571A7092D2A9727B3E5D183B7507DAB0DA41556EC9133606F09C15497373" },
{ name = "gleam_json", version = "1.0.0", build_tools = ["gleam"], requirements = ["gleam_stdlib", "thoas"], otp_app = "gleam_json", source = "hex", outer_checksum = "8B197DD5D578EA6AC2C0D4BDC634C71A5BCA8E7DB5F47091C263ECB411A60DF3" },
{ name = "gleam_otp", version = "0.10.0", build_tools = ["gleam"], requirements = ["gleam_erlang", "gleam_stdlib"], otp_app = "gleam_otp", source = "hex", outer_checksum = "0B04FE915ACECE539B317F9652CAADBBC0F000184D586AAAF2D94C100945D72B" },
{ name = "gleam_stdlib", version = "0.36.0", build_tools = ["gleam"], requirements = [], otp_app = "gleam_stdlib", source = "hex", outer_checksum = "C0D14D807FEC6F8A08A7C9EF8DFDE6AE5C10E40E21325B2B29365965D82EB3D4" },
{ name = "glexer", version = "0.7.0", build_tools = ["gleam"], requirements = ["gleam_stdlib"], otp_app = "glexer", source = "hex", outer_checksum = "4484942A465482A0A100936E1E5F12314DB4B5AC0D87575A7B9E9062090B96BE" },
{ name = "simplifile", version = "1.5.0", build_tools = ["gleam"], requirements = ["gleam_stdlib"], otp_app = "simplifile", source = "hex", outer_checksum = "EB9AA8E65E5C1E3E0FDCFC81BC363FD433CB122D7D062750FFDF24DE4AC40116" },
{ name = "thoas", version = "0.4.1", build_tools = ["rebar3"], requirements = [], otp_app = "thoas", source = "hex", outer_checksum = "4918D50026C073C4AB1388437132C77A6F6F7C8AC43C60C13758CC0ADCE2134E" },
]

[requirements]
exercism_test_runner = { version = "~> 1.4" }
gleam_bitwise = { version = "~> 1.2" }
gleam_erlang = { version = ">= 0.25.0 and < 1.0.0"}
gleam_otp = { version = "~> 0.7 or ~> 1.0" }
gleam_stdlib = { version = "~> 0.32 or ~> 1.0" }
simplifile = { version = "~> 1.0" }
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