This is a MiniZinc based attempt to solve the Modern Art: Masters Gallery game.
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 include "alldifferent.mzn"; include "globals.mzn"; include "awards.mzn"; include "ranking.mzn"; include "scoring.mzn"; include "sanity.mzn"; include "artists.mzn"; /* This file includes the core gameplay rules ie, how many cards are getting played each round who plays the closing card etc. */ % Calculate total cards of an artist played per round constraint forall (a in Artists, r in Rounds) ( cards_per_artist_per_round[r, a] = sum(p in Players) (visible_count_per_round_per_artist_per_player[r,p,a]) ); % Max number of visible cards can be 6 for any artist per player var 5..6: max_visible_cards; constraint max_visible_cards = if card(Players)>2 then 6 else 5 endif; % Maximum max_visible_cards of the artist with maximum cards constraint forall(r in Rounds) (max(row(cards_per_artist_per_round,r)) = max_visible_cards); % second highest value should not be the max constraint forall(r in Rounds) (sort(row(cards_per_artist_per_round, r))[4] != max_visible_cards); % DOUBLE CARDS % - Double cards are counted as VISIBLE % - Double cards CANNOT breach the 6 LIMIT % Total number of DOUBLE CARDS for each artist = 1 % FOR EVERY ROUND+ARTIST combination, only 1 player should have played a double card % TODO: Check if this is still correct after a second round constraint forall(a in Artists) ( sum(p in Players, r in Rounds) (double_played[r,p,a]) = 1 ); array[Rounds,Players] of var int: max_cards_per_round_per_player; % What is the extra cards you can possibly play array[Rounds,Players,Artists] of var bool: bonus_due_to_double_cards; constraint forall(a in Artists, r in Rounds, p in Players) ( % If this player played more than 2 cards of this artist if visible_count_per_round_per_artist_per_player[r,p,a] >=2 % And this artist is the winning artist this round /\ row(sorted_artists_per_round,r)[1] = a % And you closed this round /\ visible_count_per_round_per_artist_per_player[r,p,a] = max_visible_cards % and they are claiming their double now /\ double_played[r,p,a] then bonus_due_to_double_cards[r,p,a] = true else bonus_due_to_double_cards[r,p,a] = false endif ); % array[Rounds,Players] of var int: negs_due_to_double_cards; % constraint forall(r in Rounds, p in Players) ( % ); % Calculate maximum cards any player can play in first round % constraint forall(p in Players) ( % CardsInHand[Round1,p] = 13 % ); % TODO: This is actual not VISIBLE, but TOTAL cards LIMIT % TODO: This does not consider any of the symbols % IMPLIED RULE: You can max play 13 cards in Round 1 constraint forall(p in Players) ( sum(a in Artists) ( visible_count_per_round_per_artist_per_player[Round1,p,a] ) <= max_cards_per_round_per_player[Round1,p] );