## Tarot Cards & Numbers, Ep.1

(Published on 10. September 2019, 10:00 by gjchangmu)

Rule: Place all the available cards into different blank cells, and fill all remaining blank cells with numbers 1 to 5. Each row and column must not contain repeated numbers or cards. Each card has its own effect.
Note: There may be cells that are already filled with given cards. These given cards are not included in the available cards list.

Card effects:
Blank Card (B): This card has no effect.
Chariot Card (C): Any two adjacent cells in the row this card is placed in must not be consecutive numbers.
Death Card (D): This card must be placed in the rightmost column or the bottom row. There must not be more than one cards that share the minimum distance to this card, i.e. there must be only one card (instead of tied by multiple cards) that is closest to this card. As examples of distances, the distance of two horizontally or vertically adjacent cells is 1, and the distance of two diagonally adjacent cells is square root 2.
Hermit Card (H): The row this card is placed in must not contain number 1.
Judgement Card (J): The immediate adjacent cells above and below this card must be numbers. The number above must be larger than the number below. This card must not be placed in the upmost or bottom row.
Sun Card (S): The adjacent cells surrounding this card (including diagonal ones) must not contain repeated numbers or cards.

-----------------------------

For clarification, here is an example:
－－－－－－
｜３２１４Ｓ５｜
｜２４５３１Ｊ｜
｜１ＪＢ５２３｜
｜５３Ｃ２４１｜
｜Ｂ５４Ｈ３２｜
｜Ｄ１２Ｓ５４｜
－－－－－－

Solution code: Row 2, followed by column 1. Use the initial capital letter of card names to represent cards.

Last changed on on 10. September 2019, 16:46

Solved by Luigi, Joo M.Y, saskia-daniela, marcmees, Joe Average, dm_litv, zorant, skywalker, jirk, ibag, ffricke, pirx, Zzzyxas, kishy72, Mody, sandmoppe, marsigel, zhergan, Thomster
Full list

on 14. September 2019, 16:12 by Mody
thanks :)

on 14. September 2019, 15:07 by gjchangmu
@Mody the Blank Card in r1c5 and the Blank Card in the available cards list are two cards, i.e. there will be a total of 2 Blank Cards in the grid when solved.

on 14. September 2019, 14:58 by Mody
In Z3S1 muss eine Karte sein. Blank geht nicht, weil sie schon in der ersten Zeile ist. Chariot geht nicht, weil 1,2 und 3,4 benachbart sind. Death geht nicht, weil er nur ganz rechts oder ganz unten sein darf. Judge geht nicht, weil die "1" darüber nicht größer als die Ziffer darunter ist. Und Sun geht nicht, weil ringsum zwei Einsen sind.
Welche der Regeln habe ich missverstanden?

on 12. September 2019, 12:58 by ibag
@dm_litv: Thank you!!!

on 12. September 2019, 08:37 by dm_litv
@ibag In the example:
'B' - is a 'card'; '1' - is a 'number'.
So we have one 'card' at distance 1, and it's OK.

on 12. September 2019, 08:22 by ibag
For me the definition of distance is quite clear when you mention that it refers to the centers of the cells. But I don't understand the rule at all.

Kann mir das mal bitte jemand erklären? Im Beispiel haben die Karten B und 1 beide den Abstand 1 zu D. Was genau ist hier verboten?

on 10. September 2019, 16:49 by gjchangmu
I feel that the current definition of "distance" with regard to Death Card may be a bit cumbersome in grid puzzles. What do you think? I'm thinking about changing the definition to the sum of horizontal distance and vertical distance in future episodes. I would need to think about how to clearly describe the new definition too.

on 10. September 2019, 16:46 by gjchangmu
Edit: add more explanation of "distance" with regard to Death Card.

Last changed on 10. September 2019, 16:00

on 10. September 2019, 15:58 by Dandelo
More important: In both examples the cells share at least one point. So the mathematical distance is 0 (OT: independent from the norm). The example shows, that you define it as the euclidean distance of the centers of the cells. You should specify this and/or add an example.

Last changed on 10. September 2019, 13:11

on 10. September 2019, 13:06 by gjchangmu
@Luigi, Actually the rule of the Death card does use diagnal distance. For example,
｜Ｂ－－－－－｜
｜Ｄ－－－－－｜
above: the distance of B from D is 1,
｜－Ｂ－－－－｜
｜Ｄ－－－－－｜
above: the distance of B from D is √2 (square root of 2).
Maybe I should use "spacial distance"?

 Difficulty: Rating: 70 % Solved: 19 times Observed: 0 times ID: 00031S

Solution code: