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Just some preliminary notes on how to implement a cheating bot
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Based on https://github.com/fpvandoorn/hanabi
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card types:
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trash, playable, useful (dispensable), critical
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pace := #(cards left in deck) + #players - #(cards left to play)
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modified_pace := pace - #(players without useful cards)
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endgame := #(cards left to play) - #(cards left in deck) = #players - pace
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-> endgame >= 0 iff pace <= #players
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in_endgame := endgame >= 0
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discard_badness(card) :=
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1 if trash
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8 - #players if card useful but duplicate visible # TODO: should probably account for rank of card as well, currently, lowest one is chosen
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80 - 10*rank if card is not critical but currently unique # this ensures we prefer to discard higher ranked cards
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600 - 100*rank if only criticals in hand # essentially not relevant, since we are currently only optimizing for full score
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Algorithm:
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if (have playable card):
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if (in endgame) and not (in extraround):
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stall in the following situations:
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- we have exactly one useful card, it is a 5, and a copy of each useful card is visible
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- we have exactly one useful card, it is a 4, the player with the matching 5 has another critical card to play
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- we have exactly one useful card (todo: maybe use critical here?), the deck has size 1, someone else has 2 crits
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- we have exactly one playable card, it is a 4, and a further useful card, but the playable is redistributable in the following sense:
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the other playing only has this one useful card, and the player holding the matching 5 sits after the to-be-redistributed player
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- sth else that seems messy and is currently not understood, ignored for now
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TODO: maybe introduce some midgame stalls here, since we know the deck?
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play a card, matching the first of the following criteria. if several cards match, recurse with this set of cards
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- if in extraround, play crit
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- if in second last round and we have 2 crits, play crit
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- play card with lowest rank
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- play a critical card
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- play unique card, i.e. not visible
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- lowest suit index (for determinancy)
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if 8 hints:
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give a hint
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if 0 hints:
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discard card with lowest badness
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stall in the following situations:
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- #(cards in deck) == 2 and (card of rank 3 or lower is missing) and we have the connecting card
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- #clues >= 8 - #(useful cards in hand), there are useful cards in the deck and either:
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- the next player has no useful cards at all
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- we have two more crits than the next player and they have trash
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- we are in endgame and the deck only contains one card
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- it is possible that no-one discards in the following round and we are not waiting for a card whose rank is smaller than pace // TODO: this feels like a weird condition
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discard if (discard badness) + #hints < 10
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stall if someone has a better discard
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