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Add zebra-puzzle exercise (#163)
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ageron authored Oct 24, 2024
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8 changes: 8 additions & 0 deletions config.json
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"prerequisites": [],
"difficulty": 7
},
{
"slug": "zebra-puzzle",
"name": "Zebra Puzzle",
"uuid": "6c290e69-0b1b-40df-bfa5-f0c8daacdaec",
"practices": [],
"prerequisites": [],
"difficulty": 7
},
{
"slug": "alphametics",
"name": "Alphametics",
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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. The person in the green house drinks coffee.
5. The Ukrainian drinks tea.
6. The green house is immediately to the right of the ivory house.
7. The snail owner likes to go dancing.
8. The person in the yellow house is a painter.
9. The person in the middle house drinks milk.
10. The Norwegian lives in the first house.
11. The person who enjoys reading lives in the house next to the person with the fox.
12. The painter's house is next to the house with the horse.
13. The person who plays football drinks orange juice.
14. The Japanese person plays chess.
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 engage in different hobbies.

~~~~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 enjoy different hobbies.

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
~~~~
201 changes: 201 additions & 0 deletions exercises/practice/zebra-puzzle/.meta/Example.roc
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module [ownsZebra, drinksWater]

Person : [Englishman, Spaniard, Ukrainian, Norwegian, Japanese]

House : {
activity : U8, # 0 = Undefined, 1 = Dancing, 2 = Painting, 3 = Reading, 4 = Football, 5 = Chess
animal : U8, # 0 = Undefined, 1 = Dog, 2 = Snail, 3 = Fox, 4 = Horse, 5 = Zebra
color : U8, # 0 = Undefined, 1 = Red, 2 = Green, 3 = Ivory, 4 = Yellow, 5 = Blue
drink : U8, # 0 = Undefined, 1 = Coffee, 2 = Tea, 3 = Milk, 4 = OrangeJuice, 5 = Water
person : U8, # 0 = Undefined, 1 = Englishman, 2 = Spaniard, 3 = Ukrainian, 4 = Norwegian, 5 = Japanese
}

ownsZebra : Result Person [NotFound]
ownsZebra =
ownerOf \house -> house.animal == 5

drinksWater : Result Person [NotFound]
drinksWater =
ownerOf \house -> house.drink == 5

ownerOf : (House -> Bool) -> Result Person [NotFound]
ownerOf = \condition ->
when solution is
Ok houses ->
when houses |> List.findFirst? condition |> .person is
1 -> Ok Englishman
2 -> Ok Spaniard
3 -> Ok Ukrainian
4 -> Ok Norwegian
5 -> Ok Japanese
_ -> Err NotFound

Err NotFound -> Err NotFound

solution : Result (List House) [NotFound]
solution =
numHouses = 5 # rule 1
findFirstSolution = \houses, house, fieldIndex ->
[1, 2, 3, 4, 5]
|> List.walkUntil (Err NotFound) \state, value ->
updatedHouse = house |> setField fieldIndex value
updatedHouses = houses |> List.append updatedHouse
if updatedHouses |> isValid then
if List.len updatedHouses == numHouses && fieldIndex == 4 then
Break (Ok updatedHouses)
else

(nextHouses, nextHouse, nextFieldIndex) =
if fieldIndex == 4 then
(updatedHouses, initHouse, 0)
else
(houses, updatedHouse, fieldIndex + 1)

when findFirstSolution nextHouses nextHouse nextFieldIndex is
Ok found -> Break (Ok found)
Err NotFound -> Continue state
else
Continue state
initHouse = { activity: 0, animal: 0, color: 0, drink: 0, person: 0 }
findFirstSolution [] initHouse 0

setField : House, U8, U8 -> House
setField = \house, fieldIndex, value ->
when fieldIndex is
0 -> { house & activity: value }
1 -> { house & animal: value }
2 -> { house & color: value }
3 -> { house & drink: value }
4 -> { house & person: value }
_ -> crash "fieldIndex should always be between 0 and 4"

isValid : List House -> Bool
isValid = \houses ->
[
rule2,
rule3,
rule4,
rule5,
rule6,
rule7,
rule8,
rule9,
rule10,
rule11,
rule12,
rule13,
rule14,
rule15,
rule16,
]
|> List.all \rule -> rule houses

sameHouse : List House, (House -> U8, U8), (House -> U8, U8) -> Bool
sameHouse = \houses, (field1, value1), (field2, value2) ->
houses
|> List.all \house ->
f1 = field1 house
f2 = field2 house
(f1 == 0 || f2 == 0) || (f1 == value1 && f2 == value2) || (f1 != value1 && f2 != value2)

# The Englishman lives in the red house.
rule2 : List House -> Bool
rule2 = \houses ->
houses |> sameHouse (.person, 1) (.color, 1)

# The Spaniard owns the dog.
rule3 : List House -> Bool
rule3 = \houses ->
houses |> sameHouse (.person, 2) (.animal, 1)

# The person in the green house drinks coffee.
rule4 : List House -> Bool
rule4 = \houses ->
houses |> sameHouse (.color, 2) (.drink, 1)

# The Ukrainian drinks tea.
rule5 : List House -> Bool
rule5 = \houses ->
houses |> sameHouse (.person, 3) (.drink, 2)

# The green house is immediately to the right of the ivory house.
rule6 : List House -> Bool
rule6 = \houses ->
greenHouse = houses |> List.findFirstIndex \house -> house.color == 2
ivoryHouse = houses |> List.findFirstIndex \house -> house.color == 3
when (greenHouse, ivoryHouse) is
(Ok greenIndex, Ok ivoryIndex) -> greenIndex == ivoryIndex + 1
_ -> Bool.true

# The snail owner likes to go dancing.
rule7 : List House -> Bool
rule7 = \houses ->
houses |> sameHouse (.animal, 2) (.activity, 1)

# The person in the yellow house is a painter.
rule8 : List House -> Bool
rule8 = \houses ->
houses |> sameHouse (.color, 4) (.activity, 2)

# The person in the middle house drinks milk.
rule9 : List House -> Bool
rule9 = \houses ->
houses
|> List.mapWithIndex \house, index -> (house, index)
|> List.all \(house, index) ->
(house.drink == 0) || (index == 2 && house.drink == 3) || (index != 2 && house.drink != 3)

# The Norwegian lives in the first house.
rule10 : List House -> Bool
rule10 = \houses ->
houses
|> List.mapWithIndex \house, index -> (house, index)
|> List.all \(house, index) ->
(house.person == 0) || (index == 0 && house.person == 4) || (index != 0 && house.person != 4)

# The person who enjoys reading lives in the house next to the person with the fox.
rule11 : List House -> Bool
rule11 = \houses ->
readerHouse = houses |> List.findFirstIndex \house -> house.activity == 3
foxHouse = houses |> List.findFirstIndex \house -> house.animal == 3
when (readerHouse, foxHouse) is
(Ok readerIndex, Ok foxIndex) -> (readerIndex == foxIndex + 1) || (foxIndex == readerIndex + 1)
_ -> Bool.true

# The painter's house is next to the house with the horse.
rule12 : List House -> Bool
rule12 = \houses ->
painterHouse = houses |> List.findFirstIndex \house -> house.activity == 2
horseHouse = houses |> List.findFirstIndex \house -> house.animal == 4
when (painterHouse, horseHouse) is
(Ok painterIndex, Ok horseIndex) -> (painterIndex == horseIndex + 1) || (horseIndex == painterIndex + 1)
_ -> Bool.true

# The List person -> Bool
rule13 : List House -> Bool
rule13 = \houses ->
houses |> sameHouse (.activity, 4) (.drink, 4)

# The List Japanese -> Bool
rule14 : List House -> Bool
rule14 = \houses ->
houses |> sameHouse (.person, 5) (.activity, 5)

# The Norwegian lives next to the blue house.
rule15 : List House -> Bool
rule15 = \houses ->
norwegianHouse = houses |> List.findFirstIndex \house -> house.person == 4
blueHouse = houses |> List.findFirstIndex \house -> house.color == 5
when (norwegianHouse, blueHouse) is
(Ok norwegianIndex, Ok blueIndex) -> (norwegianIndex == blueIndex + 1) || (blueIndex == norwegianIndex + 1)
_ -> Bool.true

rule16 : List House -> Bool
rule16 = \houses ->
[.activity, .animal, .color, .drink, .person]
|> List.all \field ->
values =
houses
|> List.map field
|> List.keepIf \value -> value != 0
List.len values == Set.len (Set.fromList values)
19 changes: 19 additions & 0 deletions exercises/practice/zebra-puzzle/.meta/config.json
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{
"authors": [
"ageron"
],
"files": {
"solution": [
"ZebraPuzzle.roc"
],
"test": [
"zebra-puzzle-test.roc"
],
"example": [
".meta/Example.roc"
]
},
"blurb": "Solve the zebra puzzle.",
"source": "Wikipedia",
"source_url": "https://en.wikipedia.org/wiki/Zebra_Puzzle"
}
13 changes: 13 additions & 0 deletions exercises/practice/zebra-puzzle/.meta/template.j2
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{%- import "generator_macros.j2" as macros with context -%}
{{ macros.canonical_ref() }}
{{ macros.header() }}

import {{ exercise | to_pascal }} exposing [ownsZebra, drinksWater]

{% for case in cases -%}
# {{ case["description"] }}
expect
result = {{ case["property"] | to_camel }}
result == Ok {{ case["expected"] }}

{% endfor %}
16 changes: 16 additions & 0 deletions exercises/practice/zebra-puzzle/.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.

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

[084d5b8b-24e2-40e6-b008-c800da8cd257]
description = "resident who owns zebra"
11 changes: 11 additions & 0 deletions exercises/practice/zebra-puzzle/ZebraPuzzle.roc
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module [ownsZebra, drinksWater]

Person : [Englishman, Spaniard, Ukrainian, Norwegian, Japanese]

ownsZebra : Result Person _
ownsZebra =
crash "Please implement 'ownsZebra'"

drinksWater : Result Person _
drinksWater =
crash "Please implement 'drinksWater'"
22 changes: 22 additions & 0 deletions exercises/practice/zebra-puzzle/zebra-puzzle-test.roc
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# These tests are auto-generated with test data from:
# https://github.com/exercism/problem-specifications/tree/main/exercises/zebra-puzzle/canonical-data.json
# File last updated on 2024-10-22
app [main] {
pf: platform "https://github.com/roc-lang/basic-cli/releases/download/0.15.0/SlwdbJ-3GR7uBWQo6zlmYWNYOxnvo8r6YABXD-45UOw.tar.br",
}

main =
Task.ok {}

import ZebraPuzzle exposing [ownsZebra, drinksWater]

# resident who drinks water
expect
result = drinksWater
result == Ok Norwegian

# resident who owns zebra
expect
result = ownsZebra
result == Ok Japanese

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