Einstein quiz

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The Einstein quiz is a logic puzzle.

Question

How to solve the Einstein quiz [1] and similarly structured problems using R-tools?

Facts:

  • There are 5 houses in 5 different colors.
  • In each house lives a person with a different nationality.
  • These 5 owners drink a certain beverage, smoke a certain brand of cigar and keep a certain pet.
  • No owners have the same pet, smoke the same brand of cigar or drink the same drink.
  • Hints:
    • The Brit lives in a red house.
    • The Swede keeps dogs as pets.
    • The Dane drinks tea.
    • The green house is on the left of the white house.
    • The green house owner drinks coffee.
    • The person who smokes Pall Mall rears birds.
    • The owner of the yellow house smokes Dunhill.
    • The man living in the house right in the centre drinks milk.
    • The Norwegian lives in the first house.
    • The man who smokes Blend lives next to the one who keeps cats.
    • The man who keeps horses lives next to the man who smokes Dunhill.
    • The owner who smokes Blue Master drinks beer.
    • The German smokes Prince.
    • The Norwegian lives next to the blue house.
    • The man who smokes Blend has a neighbor who drinks water.

Question:

Can you determine who keeps fish?

Answer

The code calculates possible combinations based on hints.

+ Show code

These cannot be solved with this solver:

  • The green house is on the left of the white house.
  • The man who smokes Blend lives next to the one who keeps cats.
  • The man who keeps horses lives next to the man who smokes Dunhill.
  • The Norwegian lives next to the blue house.
  • The man who smokes Blend has a neighbor who drinks water.

Rationale

Possible values of different properties. The different columns are NOT related, i.e. this is just an exhaustive list of possibilities without any information about which things belong together.

facts(-)
ObsHouse numberHouse colourNationalityPetDrinkTobacco
1House 1Red houseBritDogTeaPall Mall
2House 2Green houseSwedeBirdCoffeeDunhill
3House 3Yellow houseDaneCatMilkPrince
4House 4White houseNorwegianHorseBeerBlend
5House 5Blue houseGermanFishWaterBlue Master

The known relations as a table.

Einstein quiz(-)
ObsFirstSecond
1BritRed house
2SwedeDog
3DaneTea
4Green houseCoffee
5Pall MallBird
6Yellow houseDunhill
7House 3Milk
8NorwegianHouse 1
9Blue MasterBeer
10GermanPrince

See also

References


Related files

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