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Problem Description Fight the Landlord (斗地主)isa card game for three players. In each hand one player,the"landlord", plays alone and the others form a team(may calledtwopeasants). The landlord's aim is to be the first to play outallhis cards in valid combinations, and the team wins if any oneofthem manages to play all their cards before the landlord.Acomplete deck consists of 52 standard cards plus 2 jokers, redandblack. The cards rank from high to low: R(Red Joker),B(Blackjoker), 2, A, K, Q, J, T(10), 9, 8, 7, 6, 5, 4, 3. Each rankofstandard card has 4 cards. The landlord plays first, and may playasingle card or any legal combination. Each subsequent playerinanticlockwise order must either pass (play no card) or beattheprevious play by playing a higher combination of the same numberofcards and same type. There are just two exceptions to this:arocket can beat any combination, and a bomb can beatanycombination except a higher bomb or rocket - see definitionsbelow.In this game, there are thirteen types of combination thatcan beplayed: 1. Single card- ranking from 3 (low) up to red joker(high)as explained above. 2. Pair- two cards of the same rank, from3(low) up to 2 (high), for example 3-3, A-A. 3. Triplet- threecardsof the same rank, for example 9-9-9. 4. Triplet with anattachedcard- a triplet with a single card added, the single cardmust bedifferent from the triplet, for example 6-6-6-8. Theserankaccording to the rank of the triplet - so for example 9-9-9-3beats8-8-8-A. 5. Triplet with an attached pair- a triplet with apairadded, the ranking being determined by the rank of the triplet-for example Q-Q-Q-6-6 beats 10-10-10-K-K. 6. Sequence- atleastfive cards of consecutive rank, from 3 up to ace - forexample8-9-10-J-Q. 2 and jokers cannot be used. 7. Sequence ofpairs- atleast three pairs of consecutive ranks, from 3 up to A. 2andjokers cannot be used. For example 10-10-J-J-Q-Q-K-K. 8.Sequenceof triplets- at least two triplets of consecutive ranksfrom 3 upto A. 2 cannot be used. For example 4-4-4-5-5-5. 9.Sequence oftriplets with attached cards- an extra card is added toeachtriplet. Only the triplets have to be in sequence, forexample7-7-7-8-8-8-3-6. The attached cards must be different fromall thetriplets and from each other. Although triplets of 2 cannotbeincluded in the triplets sequence, a 2 or a joker or one ofeachcan be attached, but not both jokers. 10. Sequence of tripletswithattached pairs- an extra pair is attached to each triplet. Onlythetriplets have to be in sequence - for example8-8-8-9-9-9-4-4-J-J.The pairs must be different in rank from eachother and from allthe triplets. Although triplets of 2 cannot beincluded in thetriplets sequence, a pair of 2 can be attached. Notethat attachedsingle cards and attached pairs cannot be mixed - forexample3-3-3-4-4-4-6-7-7 is not valid. 11. Bomb- four cards of thesamerank. A bomb can beat everything except a rocket or a bombwithhigher rank. 12. Rocket- a pair of jokers. It is thehighestcombination and beats anything else, including bombs. 13.Quadplexset- there are two types: a quad (four cards of the samerank) withtwo single cards of different ranks attached, such as6-6-6-6-8-9,or a quad with two pairs of different ranks attached,such asJ-J-J-J-9-9-Q-Q. 2 and jokers can be attached, but youcannot useboth jokers in one quadplex set. Quadplex sets are rankedaccordingto the rank of the quad. Note that a quadplex set can onlybeat alower quadplex set of the same type, and cannot beat anyother typeof combination. Also a quadplex set can be beaten by abomb made oflower ranked cards. At the beginning of each round, thelandlordhas 20 cards and the others each get 17 cards, can thelandlord hasa strategy to bring out his cards all the way aloneuntil he winsthe game and leave no chance for the others toplay