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to Zebra Puzzle in the Scala Track

Published at Jul 13 2018 · 0 comments
Test suite

Solve the zebra puzzle.

  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.

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.

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

The Scala exercises assume an SBT project scheme. The exercise solution source should be placed within the exercise directory/src/main/scala. The exercise unit tests can be found within the exercise directory/src/test/scala.

To run the tests simply run the command sbt test in the exercise directory.

For more detailed info about the Scala track see the help page.


Wikipedia https://en.wikipedia.org/wiki/Zebra_Puzzle

Submitting Incomplete Solutions

It's possible to submit an incomplete solution so you can see how others have completed the exercise.


import org.scalatest.{FunSuite, Matchers}

import ZebraPuzzle._

/** @version created manually **/
class ZebraPuzzleTest extends FunSuite with Matchers {
  test("solve the Zebra Puzzle") {
    ZebraPuzzle.solve should be (
        Solution(waterDrinker = Norwegian,
                 zebraOwner = Japanese))
object ZebraPuzzle {
  object Color extends Enumeration {
    type Color = Value
    val Red, Green, Ivory, Yellow, Blue = Value

  object Drink extends Enumeration {
    type Drink = Value
    val Coffee, Tea, Milk, OrangeJuice, Water = Value

  object Pet extends Enumeration {
    type Pet = Value
    val Dog, Snails, Fox, Horse, Zebra = Value

  object Cigaret extends Enumeration {
    type Cigaret = Value
    val OldGold, Kools, Chesterfileds, LuckyStrike, Parliaments = Value

  import Color._, Drink._, Pet._, Cigaret._

  sealed trait Resident
  case object Englishman extends Resident
  case object Spaniard extends Resident
  case object Ukrainian extends Resident
  case object Norwegian extends Resident
  case object Japanese extends Resident

  case class Solution(waterDrinker: Resident, zebraOwner: Resident)

  val Residents: Stream[Resident] = Stream(Norwegian, Englishman, Spaniard, Ukrainian, Japanese)

  def equalOrNot2[A, B](a1: A, a2: A, b1: B, b2: B) = (a1 == a2 && b1 == b2) || (a1 != a2 && b1 != b2)

  case class House(resident: Resident, color: Color, drink: Drink, pet: Pet, cigaret: Cigaret) {
    def isClue2 = equalOrNot2(resident, Englishman, color, Red)
    def isClue3 = equalOrNot2(resident, Spaniard, pet, Dog)
    def isClue4 = equalOrNot2(drink, Coffee, color, Green)
    def isClue5 = equalOrNot2(resident, Ukrainian, drink, Tea)
    def isClue7 = equalOrNot2(cigaret, OldGold, pet, Snails)
    def isClue8 = equalOrNot2(cigaret, Kools, color, Yellow)
    def isClue13 = equalOrNot2(cigaret, LuckyStrike, drink, OrangeJuice)
    def isClue14 = equalOrNot2(resident, Japanese, cigaret, Parliaments)

    def isClue =
      isClue2 && isClue3 && isClue4 && isClue5 &&
      isClue7 && isClue8 && isClue13 && isClue14

    def isOrthogonal(that: House) =
      resident == that.resident || color == that.color || drink == that.drink || pet == that.pet || cigaret == that.cigaret

  type Town = Stream[House] // 1

  def isExclusiveIn(house: House, xs: List[House]) = !xs.exists(_.isOrthogonal(house))

  def isClue6(town: Town) =
    town.zip(town.tail).exists{ case (l, r) =>
      l.color == Ivory && r.color == Green

  def isClue11(town: Town) =
    town.zip(town.tail).exists{ case (l, r) =>
      (l.cigaret == Chesterfileds && r.pet == Fox) ||
        (l.pet == Fox && r.cigaret == Chesterfileds)

  def isClue12(town: Town) =
    town.zip(town.tail).exists{ case (l, r) =>
      (l.cigaret == Kools && r.pet == Horse) ||
        (l.pet == Horse && r.cigaret == Kools)

  def isOrderClue(town: Town) =
    isClue6(town) && isClue11(town) && isClue12(town)

  lazy val allHouses =
      resident <- Residents
      color <- Color.values
      drink <- Drink.values
      pet <- Pet.values
      cigaret <- Cigaret.values
    } yield House(resident, color, drink, pet, cigaret))

  lazy val allTown: Stream[Town] =
    (for {
      a <- allHouses if a.resident == Norwegian // 10
      b <- allHouses if b.color == Blue && isExclusiveIn(b, List(a)) // 15
      c <- allHouses if c.drink == Milk && isExclusiveIn(c, List(a, b)) // 9
      d <- allHouses if isExclusiveIn(d, List(a, b, c))
      e <- allHouses if isExclusiveIn(e, List(a, b, c, d))
    } yield Stream(a,b,c,d,e))

  lazy val solve: Solution =
    (for {
      waterHouse <- allTown.head.find(_.drink == Water)
      zebraHouse <- allTown.head.find(_.pet == Zebra)
    } yield Solution(waterHouse.resident, zebraHouse.resident))

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