This is a MiniZinc based attempt to solve the Modern Art: Masters Gallery game.
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modernart/games/07.json

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{
"visible_count_per_round_per_artist_per_player" : [[[2, 0, 1, 1, 2], [0, 5, 0, 0, 1], [3, 0, 1, 2, 0], [0, 0, 2, 1, 3]], [[1, 1, 1, 1, 1], [1, 2, 0, 0, 2], [2, 0, 1, 1, 1], [1, 1, 0, 1, 2]], [[1, 0, 2, 2, 0], [0, 4, 1, 0, 0], [2, 0, 2, 0, 0], [2, 0, 1, 0, 1]], [[5, 0, 0, 0, 0], [0, 5, 0, 0, 0], [1, 0, 1, 2, 0], [0, 0, 0, 3, 1]]],
"first_player" : [{"e":"Player1"}, {"e":"Player1"}, {"e":"Player1"}, {"e":"Player3"}],
"last_player" : [{"e":"Player4"}, {"e":"Player4"}, {"e":"Player2"}, {"e":"Player1"}],
"total_score_per_round_per_artist" : [[1, 12, 0, 0, 3], [3, 13, 0, 0, 6], [5, 14, 3, 0, 6], [8, 15, 3, 2, 6]],
"CardsForArtist" : [[5, 5, 4, 4, 6], [5, 4, 2, 3, 6], [5, 4, 6, 2, 1], [6, 5, 1, 5, 1]],
"NominalTurnCount" : [6, 5, 5, 5],
"Score" : [81, 238, 43, 56],
"MaxVisibleCards" : 6,
"TotalCardsPlayed" : [[6, 6, 6, 6], [5, 5, 5, 5], [5, 5, 4, 4], [5, 5, 4, 4]],
"StartingCardsInHand" : [[13, 13, 13, 13], [11, 11, 11, 11], [11, 10, 14, 10], [6, 5, 10, 6]],
"CardsDealtPerRound" : [13, 4, 4, 0],
"PlayableCards" : [[13, 13, 13, 13], [12, 11, 15, 11], [11, 10, 14, 10], [6, 5, 10, 6]],
"sorted_artists_per_round" : [{"e":"LiteMetal"}, {"e":"KarlGitter"}, {"e":"Krypto"}, {"e":"Yoko"}, {"e":"ChristinP"}, {"e":"LiteMetal"}, {"e":"Krypto"}, {"e":"KarlGitter"}, {"e":"Yoko"}, {"e":"ChristinP"}, {"e":"ChristinP"}, {"e":"Krypto"}, {"e":"KarlGitter"}, {"e":"Yoko"}, {"e":"LiteMetal"}, {"e":"Krypto"}, {"e":"Yoko"}, {"e":"KarlGitter"}, {"e":"LiteMetal"}, {"e":"ChristinP"}],
"Pn1" : {"set":[{"e":"Player1"}, {"e":"Player2"}, {"e":"Player3"}, {"e":"Player4"}]},
"Pn2" : {"set":[{"e":"Player1"}, {"e":"Player2"}, {"e":"Player3"}, {"e":"Player4"}]},
"Pn3" : {"set":[{"e":"Player1"}, {"e":"Player2"}]},
"Pn4" : {"set":[{"e":"Player1"}, {"e":"Player2"}, {"e":"Player3"}, {"e":"Player4"}]},
"award_bonus_per_round_per_artist" : [[0, 10, 0, 0, 0], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0], [0, 0, 0, 0, 0]],
"AwardGiven" : [true, true, true, true, true],
"AwardPlayedInRound" : [{"e":"Round1"}, {"e":"Round1"}, {"e":"Round1"}, {"e":"Round1"}, {"e":"Round1"}],
"AwardedArtist" : [{"e":"KarlGitter"}, {"e":"KarlGitter"}, {"e":"KarlGitter"}, {"e":"KarlGitter"}, {"e":"KarlGitter"}],
"ranking_score_per_artist_per_round" : [[1, 2, 0, 0, 3], [2, 1, 0, 0, 3], [2, 1, 3, 0, 0], [3, 1, 0, 2, 0]],
"IsArtistRanked" : [[true, true, false, false, true], [true, true, false, false, true], [true, true, true, false, false], [true, true, false, true, false]],
"RoundScore" : [[8, 63, 3, 9], [22, 41, 12, 28], [11, 59, 16, 13], [40, 75, 12, 6]],
"ArtistScore" : [[1, 12, 0, 0, 3], [3, 13, 0, 0, 6], [5, 14, 3, 0, 0], [8, 15, 0, 2, 0]],
"DrawOneCard" : [[[false, false, false, false, false], [false, false, false, false, false], [false, false, false, false, false], [false, false, false, false, false]], [[false, true, false, false, false], [false, false, false, false, false], [true, false, true, true, true], [false, false, false, false, false]], [[false, false, false, false, false], [false, false, false, false, false], [false, false, false, false, false], [false, false, false, false, false]], [[false, false, false, false, false], [false, false, false, false, false], [false, false, false, false, false], [false, false, false, false, false]]]
}