Logic Masters Deutschland e.V.

Houses of Cards

(Published on 17. July 2020, 01:03 by Lifaja)

This is my second puzzle. I made it for the puzzle prompt on the discord CTC Fan Server. It might not be the best puzzle, but I have learned a lot crafting this puzzle. The puzzle is entirely solvable by logic. I hope you enjoy solving it!

An architect has build 2 houses with just one deck of playing cards. Unfortunatly you accidently knocked them over. You decide to rebuild the houses before the architect comes back. Luckily for you the architect left some notes on how he constructed the houses.

Rules:
  • A = 1, J = 11, Q = 12 and K = 13
  • Each house consists of 11 straight lines (3x 1 card, 3x 2 cards, 3x 3 cards and 2x 4 cards)
  • A line can’t have repeated ranks (note that a triangle can)
  • Cards with a grey circle share a property (rank or suit) with the card on the same spot in the other house
  • Given numbers represent the sum of the respective cards
  • Triangles in which a suit is given have only cards of the given suit



Snake house
One of the houses has 2 snakes in it with the following rules:
  • One snake uses all cards of one suit from A to K in consecutive order
  • The other snake is only 5 cards long, but the cards are of one suit and in consecutive order
  • One snake goes through the cards, the other follows the cards. If it goes through the cards it can’t leave the house and reenter it again (in the example the left snake is going through the cards, right a snake folloing the cards)
  • Snakes can’t touch themselves or cross eachother
  • Circles with a line are the heads and tails of the snakes



Magical house
The other house is a magical house with the following rules:
  • All 11 lines add up to the same total (magical number)
  • All lines with 2 or more cards have a different combination of cards
  • Circles with a line also add up to the magical number using a unique combination of ranks not used for any of the lines
  • Every triangle consists of either 3 cards with all different suits or all cards with all the same suit (Bottom triangles with only 2 cards always have the same suit)

If you want to solve in penpa-edit, use this link.

Solution code: All ranks from the 16 cards forming the bottom layers from left to right. e.g. A2345678910JQKA23


Solved by NikolaZ, jessica6
Full list

Difficulty:4
Rating:N/A
Solved:2 times
Observed:2 times
ID:0003W6

Triangular Filling puzzle Playing cards

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Solution code:

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