restructure sat.py: clean up and more general interface
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sat.py
387
sat.py
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@ -1,121 +1,270 @@
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from pysmt.shortcuts import Symbol, Bool, Not, Implies, Iff, And, Or, AtMostOne, ExactlyOne, get_model, get_atoms, get_formula_size, get_unsat_core
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from pysmt.rewritings import conjunctive_partition
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import json
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from typing import List
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MAX_MOVES = 63
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NUM_STRIKES = 3
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COLORS = 'rygbp'
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NUM_CARDS = 50
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from compress import DeckCard, Action, ActionType, link
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deck_str = 'p5 p3 b4 r5 y4 y4 y5 r4 b2 y2 y3 g5 g2 g3 g4 p4 r3 b2 b3 b3 p4 b1 p2 b1 b1 p2 p1 p1 g1 r4 g1 r1 r3 r1 g1 r1 p1 b4 p3 g2 g3 g4 b5 y1 y1 y1 r2 r2 y2 y3'
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# instance independent names of variables
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# clues[m][i] == "after move m we have at least i clues"
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clues = {-1: {i: Bool(i < 9) for i in range(0, 10)}, **{m: {0: Bool(True), 9: Bool(False), **{i: Symbol('m{}c{}'.format(m, i)) for i in range(1, 9)}} for m in range(MAX_MOVES)}}
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# strikes[m][i] == "after move m we have at least i strikes"
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strikes = {-1: {i: Bool(i == 0) for i in range(0,NUM_STRIKES+1)}, **{m: {0: Bool(True), NUM_STRIKES: Bool(False), **{s: Symbol('m{}s{}'.format(m,s)) for s in range(1,NUM_STRIKES)}} for m in range(MAX_MOVES)} }
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# extraturn[m] = "turn m is a move part of the extra round or a dummy turn"
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extraround = {-1: Bool(False), **{m: Bool(False) if m <= 29 else Symbol('m{}e'.format(m)) for m in range(0, MAX_MOVES)}}
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# dummyturn[m] = "turn m is a dummy nurn and not actually part of the game"
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dummyturn = {-1: Bool(False), **{m: Bool(False) if m <= 34 else Symbol('m{}dt'.format(m)) for m in range(0, MAX_MOVES)}}
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# strike[m] = "at move m we get a strike"
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strike = {-1: Bool(False), **{m: Symbol('m{}s+'.format(m)) for m in range(MAX_MOVES)}}
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# draw[m][i] == "at move m we play/discard deck[i]"
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discard = {m: {i: Symbol('m{}-{}'.format(m, i)) for i in range(NUM_CARDS)} for m in range(MAX_MOVES)}
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# progress[m][c, k] == "after move m we have played in color c until k"
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progress = {-1: {(c, k): Bool(k == 0) for c in COLORS for k in range(6)}, **{m: {**{(c, 0): Bool(True) for c in COLORS}, **{(c, k): Symbol('m{}:{}{}'.format(m, c, k)) for c in COLORS for k in range(1, 6)}} for m in range(MAX_MOVES)}}
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# discard_any[m] == "at move m we play/discard a card"
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discard_any = {m: Symbol('m{}d'.format(m)) for m in range(MAX_MOVES)}
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# draw_any[m] == "at move m we draw a card"
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draw_any = {m: Symbol('m{}D'.format(m)) for m in range(MAX_MOVES)}
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# play[m] == "at move m we play a card"
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play = {m: Symbol('m{}p'.format(m)) for m in range(MAX_MOVES)}
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# play5[m] == "at move m we play a 5"
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play5 = {m: Symbol('m{}p5'.format(m)) for m in range(MAX_MOVES)}
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# incr_clues[m] == "at move m we obtain a clue"
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incr_clues = {m: Symbol('m{}c+'.format(m)) for m in range(MAX_MOVES)}
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### this is dependent on the number of players
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# draw[m][i] == "at move m we draw deck[i]"
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hand_size = {2: 5, 3: 5, 4: 4, 5: 4, 6: 3}
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last_hand_card = {2: 9, 3: 14, 4: 15, 5: 19, 6: 17}
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max_moves = {2: -1, 3: 63, 4: 63, 5: 56, 6: 62}
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draw = {p: {-1: {i: Bool(i == last_hand_card[p]) for i in range(last_hand_card[p], NUM_CARDS)}, **{m: {last_hand_card[p]: Bool(False), **{i: Symbol('m{}+{}'.format(m, i)) for i in range(last_hand_card[p] + 1, NUM_CARDS)}} for m in range(max_moves[p])}} for p in range(2,7)}
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STANDARD_HAND_SIZE = {2: 5, 3: 5, 4: 4, 5: 4, 6: 3}
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NUM_STRIKES_TO_LOSE = 3
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def solve(deck_str, num_players=5):
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deck = [(s[0], int(s[1])) for s in deck_str.split(' ')]
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hand_size = globals()['hand_size'][num_players]
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last_hand_card = globals()['last_hand_card'][num_players]
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max_moves = globals()['max_moves'][num_players]
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draw = globals()['draw'][num_players]
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# literals to model game as sat instance to check for feasibility
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# variants 'throw it in a hole not handled', 'clue starved' and 'up or down' currently not handled
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class Literals():
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# num_suits is total number of suits, i.e. also counts the dark suits
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# default distribution among all suits is assumed
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def __init__(self, num_players, num_suits, num_dark_suits=0):
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assert ( 2 <= num_players <= 6 )
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## some game parameters
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self.num_players = num_players
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self.num_suits = num_suits
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self.num_dark_suits = num_dark_suits
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self.hand_size = STANDARD_HAND_SIZE[num_players]
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self.num_strikes = NUM_STRIKES_TO_LOSE
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self.deck_size = 10 * num_suits - 5 * num_dark_suits
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self.distributed_cards = self.num_players * self.hand_size
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self.draw_pile_size = self.deck_size - self.distributed_cards
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## maximum number of moves in any game that can achieve max score
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# each suit gives 15 moves, as we can play and discard 5 cards each and give 5 clues. dark suits only give 5 moves, since no discards are added
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# number of cards that remain in players hands after end of game. they cost 2 turns each, since we cannot discard them and also have one clue less
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# 8 clues at beginning, one further clue for each suit but one (the clue of the last 5 is never useful since it is gained in the extra-round)
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# subtract a further move for a second 5-clue that can't be used in 5 or 6-player games, since the extraround starts too soon
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self.max_moves = 15 * num_suits - 10 * num_dark_suits \
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- 2 * num_players * (self.hand_size - 1) \
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+ 8 + (num_suits - 1) \
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+ (-1 if num_players >= 5 else 0)
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###
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# note that we generate 'literals' always one out of boundary and set them to explicit truth values. This makes sat formulation easier but has no actual overhead in solving it
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# move are numbered starting with 0
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# clues[m][i] == "after move m we have at least i clues"
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self.clues = {
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-1: { i: Bool(i < 9) for i in range(0, 10) } # we have 8 clues after turn -1
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, **{
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m: {
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0: Bool(True), # always at least 0 clues
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**{ i: Symbol('m{}c{}'.format(m, i)) for i in range(1, 9) },
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9: Bool(False) # never 9 or more clues. This will implicitly forbid discarding at 8 clues later
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}
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for m in range(self.max_moves)
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}
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}
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# strikes[m][i] == "after move m we have at least i strikes"
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self.strikes = {
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-1: {i: Bool(i == 0) for i in range(0, self.num_strikes + 1)} # no strikes when we start
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, **{
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m: {
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0: Bool(True),
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**{ s: Symbol('m{}s{}'.format(m,s)) for s in range(1, self.num_strikes) },
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self.num_strikes: Bool(False) # never so many clues that we lose. Implicitly forbids striking out
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}
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for m in range(self.max_moves)
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}
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}
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# extraturn[m] = "turn m is a move part of the extra round or a dummy turn"
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self.extraround = {
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-1: Bool(False)
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, **{
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m: Bool(False) if m < self.draw_pile_size else Symbol('m{}e'.format(m)) # it takes at least as many turns as cards in the draw pile to start the extra round
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for m in range(0, self.max_moves)
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}
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}
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# dummyturn[m] = "turn m is a dummy nurn and not actually part of the game"
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self.dummyturn = {
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-1: Bool(False)
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, **{
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m: Bool(False) if m < self.draw_pile_size + self.num_players else Symbol('m{}dt'.format(m))
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for m in range(0, self.max_moves)
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}
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}
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# draw[m][i] == "at move m we play/discard deck[i]"
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self.discard = {
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m: {i: Symbol('m{}-{}'.format(m, i)) for i in range(self.deck_size)}
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for m in range(self.max_moves)
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}
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# draw[m][i] == "at move m we draw deck card i"
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self.draw = {
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-1: { i: Bool(i == self.distributed_cards - 1) for i in range(self.distributed_cards - 1, self.deck_size) }
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, **{
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m: {
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self.distributed_cards - 1: Bool(False),
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**{i: Symbol('m{}+{}'.format(m, i)) for i in range(self.distributed_cards, self.deck_size)}
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}
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for m in range(self.max_moves)
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}
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}
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# strike[m] = "at move m we get a strike"
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self.strike = {
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-1: Bool(False)
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, **{
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m: Symbol('m{}s+'.format(m))
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for m in range(self.max_moves)
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}
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}
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# progress[m][card = (suitIndex, rank)] == "after move m we have played in suitIndex up to rank"
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self.progress = {
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-1: {(s, r): Bool(r == 0) for s in range(0, self.num_suits) for r in range(0, 6)} # at start, have only played rank zero
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, **{
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m: {
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**{(s, 0): Bool(True) for s in range(0, self.num_suits)},
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**{(s, r): Symbol('m{}:{}{}'.format(m, s, r)) for s in range(0, self.num_suits) for r in range(1, 6)}
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}
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for m in range(self.max_moves)
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}
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}
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## Utility variables
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# discard_any[m] == "at move m we play/discard a card"
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self.discard_any = { m: Symbol('m{}d'.format(m)) for m in range(self.max_moves) }
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# draw_any[m] == "at move m we draw a card"
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self.draw_any = {m: Symbol('m{}D'.format(m)) for m in range(self.max_moves)}
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# play[m] == "at move m we play a card"
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self.play = {m: Symbol('m{}p'.format(m)) for m in range(self.max_moves)}
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# play5[m] == "at move m we play a 5"
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self.play5 = {m: Symbol('m{}p5'.format(m)) for m in range(self.max_moves)}
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# incr_clues[m] == "at move m we obtain a clue"
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self.incr_clues = {m: Symbol('m{}c+'.format(m)) for m in range(self.max_moves)}
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def solve(deck: List[DeckCard], num_players=5):
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num_suits = max(map(lambda card: card.suitIndex, deck)) + 1
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num_dark_suits = (len(deck) - 10 * num_suits) // (-5)
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ls = Literals(num_players, num_suits, num_dark_suits)
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valid_move = lambda m: And(
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Implies(dummyturn[m], Not(discard_any[m])),
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# in dummy turns, nothing can be discarded
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Implies(ls.dummyturn[m], Not(ls.discard_any[m])),
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# definition of discard_any
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Iff(discard_any[m], Or(discard[m][i] for i in range(NUM_CARDS))),
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Iff(ls.discard_any[m], Or(ls.discard[m][i] for i in range(ls.deck_size))),
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# definition of draw_any
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Iff(draw_any[m], Or(draw[m][i] for i in range(last_hand_card + 1, NUM_CARDS))),
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# draw implies discard (and converse true before last 5 moves)
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Implies(draw_any[m], discard_any[m]),
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Implies(discard_any[m], Or(extraround[m], draw_any[m])),
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# play requires discard
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Implies(play[m], discard_any[m]),
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# definition of play5
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Iff(play5[m], And(play[m], Or(discard[m][i] for i in range(NUM_CARDS) if deck[i][1] == 5))),
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# definition of incr_clues
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Iff(incr_clues[m], And(discard_any[m], Implies(play[m], And(play5[m], Not(clues[m-1][8]))))),
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#Iff(incr_clues[m], And(discard_any[m], Implies(play[m], play5[m]))),
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# change of clues
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*[Iff(clues[m][i], Or(clues[m-1][i+1], And(clues[m-1][i], Or(discard_any[m], dummyturn[m])), And(clues[m-1][i-1], incr_clues[m]))) for i in range(1, 9)],
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## more than 8 clues not allowed, discarding produces a strike
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Iff(strike[m], And(discard_any[m], Not(play[m]), clues[m-1][8])),
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Iff(ls.draw_any[m], Or(ls.draw[m][i] for i in range(ls.distributed_cards, ls.deck_size))),
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# ls.draw implies ls.discard (and converse true before the ls.extraround)
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Implies(ls.draw_any[m], ls.discard_any[m]),
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Implies(ls.discard_any[m], Or(ls.extraround[m], ls.draw_any[m])),
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# ls.play requires ls.discard
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Implies(ls.play[m], ls.discard_any[m]),
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# definition of ls.play5
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Iff(ls.play5[m], And(ls.play[m], Or(ls.discard[m][i] for i in range(ls.deck_size) if deck[i].rank == 5))),
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# definition of ls.incr_clues
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Iff(ls.incr_clues[m], And(ls.discard_any[m], Implies(ls.play[m], And(ls.play5[m], Not(ls.clues[m-1][8]))))),
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# change of ls.clues
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*[Iff(ls.clues[m][i], Or(ls.clues[m-1][i+1], And(ls.clues[m-1][i], Or(ls.discard_any[m], ls.dummyturn[m])), And(ls.clues[m-1][i-1], ls.incr_clues[m]))) for i in range(1, 9)],
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## more than 8 clues not allowed, ls.discarding produces a strike
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# Note that this means that we will never strike while not at 8 clues.
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# It's easy to see that if there is any solution to the instance, then there is also one where we only strike at 8 clues
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# (or not at all) -> Just strike later if neccessary
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# So, we decrease the solution space with this formulation, but do not change whether it's empty or not
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Iff(ls.strike[m], And(ls.discard_any[m], Not(ls.play[m]), ls.clues[m-1][8])),
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# change of strikes
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*[Iff(strikes[m][i], Or(strikes[m-1][i], And(strikes[m-1][i-1], strike[m]))) for i in range(1, NUM_STRIKES+1)],
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*[Iff(ls.strikes[m][i], Or(ls.strikes[m-1][i], And(ls.strikes[m-1][i-1], ls.strike[m]))) for i in range(1, ls.num_strikes + 1)],
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# less than 0 clues not allowed
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Implies(Not(discard_any[m]), Or(clues[m-1][1], dummyturn[m])),
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# we can only draw card i if the last drawn card was i-1
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*[Implies(draw[m][i], Or(And(draw[m0][i-1], *[Not(draw_any[m1]) for m1 in range(m0+1, m)]) for m0 in range(max(-1, m-9), m))) for i in range(last_hand_card + 1, NUM_CARDS)],
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#*[Implies(draw[m][i], Not(draw[m0][i])) for m0 in range(m) for i in range(20, 50)],
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#*[Implies(draw[m][i], Or(draw[m0][i-1] for m0 in range(max(-1, m-9), m))) for i in range(20, 50)],
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Implies(Not(ls.discard_any[m]), Or(ls.clues[m-1][1], ls.dummyturn[m])),
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# we can only draw card i if the last ls.drawn card was i-1
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*[Implies(ls.draw[m][i], Or(And(ls.draw[m0][i-1], *[Not(ls.draw_any[m1]) for m1 in range(m0+1, m)]) for m0 in range(max(-1, m-9), m))) for i in range(ls.distributed_cards, ls.deck_size)],
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# we can only draw at most one card (NOTE: redundant, FIXME: avoid quadratic formula)
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AtMostOne(draw[m][i] for i in range(last_hand_card + 1, NUM_CARDS)),
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#*[Not(And(draw[m][i], draw[m][j])) for i in range(20, 50) for j in range(20, i)],
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AtMostOne(ls.draw[m][i] for i in range(ls.distributed_cards, ls.deck_size)),
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# we can only discard a card if we drew it earlier...
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*[Implies(discard[m][i], Or(draw[m0][i] for m0 in range(m-num_players, -1, -num_players))) for i in range(last_hand_card + 1, NUM_CARDS)],
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*[Implies(ls.discard[m][i], Or(ls.draw[m0][i] for m0 in range(m-ls.num_players, -1, -ls.num_players))) for i in range(ls.distributed_cards, ls.deck_size)],
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# ...or if it was part of the initial hand
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*[Not(discard[m][i]) for i in range(last_hand_card + 1) if i//hand_size != m % num_players],
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*[Not(ls.discard[m][i]) for i in range(0, ls.distributed_cards) if i // ls.hand_size != m % ls.num_players],
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# we can only discard a card if we did not discard it yet
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*[Implies(discard[m][i], And(Not(discard[m0][i]) for m0 in range(m-num_players, -1, -num_players))) for i in range(NUM_CARDS)],
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*[Implies(ls.discard[m][i], And(Not(ls.discard[m0][i]) for m0 in range(m-ls.num_players, -1, -ls.num_players))) for i in range(ls.deck_size)],
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# we can only discard at most one card (FIXME: avoid quadratic formula)
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AtMostOne(discard[m][i] for i in range(NUM_CARDS)),
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#*[Not(And(discard[m][i], discard[m][j])) for i in range(NUM_CARDS) for j in range(i)],
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AtMostOne(ls.discard[m][i] for i in range(ls.deck_size)),
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# we can only play a card if it matches the progress
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*[Implies(And(discard[m][i], play[m]), And(Not(progress[m-1][deck[i]]), progress[m-1][deck[i][0], deck[i][1]-1])) for i in range(NUM_CARDS)],
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*[Implies(
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And(ls.discard[m][i], ls.play[m]),
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And(
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Not(ls.progress[m-1][deck[i].suitIndex, deck[i].rank]),
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ls.progress[m-1][deck[i].suitIndex, deck[i].rank-1 ]
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)
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)
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for i in range(ls.deck_size)
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],
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# change of progress
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*[Iff(progress[m][c, k], Or(progress[m-1][c, k], And(play[m], Or(discard[m][i] for i in range(NUM_CARDS) if deck[i] == (c, k))))) for c in COLORS for k in range(1, 6)],
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*[
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Iff(
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ls.progress[m][s, r],
|
||||
Or(
|
||||
ls.progress[m-1][s, r],
|
||||
And(ls.play[m], Or(ls.discard[m][i]
|
||||
for i in range(0, ls.deck_size)
|
||||
if deck[i] == DeckCard(s, r) ))
|
||||
)
|
||||
)
|
||||
for s in range(0, ls.num_suits)
|
||||
for r in range(1, 6)
|
||||
],
|
||||
|
||||
# extra round bool
|
||||
Iff(extraround[m], Or(extraround[m-1], draw[m-1][NUM_CARDS-1])),
|
||||
Iff(ls.extraround[m], Or(ls.extraround[m-1], ls.draw[m-1][ls.deck_size-1])),
|
||||
|
||||
# dummy turn bool
|
||||
*[Iff(dummyturn[m], Or(dummyturn[m-1], draw[m-1 - num_players][NUM_CARDS-1])) for i in range(0,1) if m >= num_players]
|
||||
*[Iff(ls.dummyturn[m], Or(ls.dummyturn[m-1], ls.draw[m-1 - ls.num_players][ls.deck_size-1])) for i in range(0,1) if m >= ls.num_players]
|
||||
)
|
||||
|
||||
win = And(
|
||||
# maximum progress at each color
|
||||
*[progress[max_moves-1][c, 5] for c in COLORS],
|
||||
# played every color/value combination (NOTE: redundant)
|
||||
*[Or(And(discard[m][i], play[m]) for m in range(max_moves) for i in range(50) if deck[i] == (c, k)) for c in COLORS for k in range(1, 6)]
|
||||
*[ls.progress[ls.max_moves-1][s, 5] for s in range(0, ls.num_suits)],
|
||||
|
||||
# played every color/value combination (NOTE: redundant, but makes solving faster)
|
||||
*[
|
||||
Or(
|
||||
And(ls.discard[m][i], ls.play[m])
|
||||
for m in range(ls.max_moves)
|
||||
for i in range(ls.deck_size)
|
||||
if deck[i] == DeckCard(s, r)
|
||||
)
|
||||
for s in range(0, ls.num_suits)
|
||||
for r in range(1, 6)
|
||||
]
|
||||
)
|
||||
|
||||
constraints = And(*[valid_move(m) for m in range(max_moves)], win)
|
||||
constraints = And(*[valid_move(m) for m in range(ls.max_moves)], win)
|
||||
# print('Solving instance with {} variables, {} nodes'.format(len(get_atoms(constraints)), get_formula_size(constraints)))
|
||||
|
||||
model = get_model(constraints)
|
||||
if model:
|
||||
# print_model(model, deck)
|
||||
solution = toJSON(model, deck, num_players)
|
||||
solution = toJSON(model, deck, ls)
|
||||
return True, solution
|
||||
else:
|
||||
print('unsatisfiable')
|
||||
|
|
@ -140,44 +289,35 @@ def print_model(model, deck, num_players):
|
|||
flags = ['discard_any', 'draw_any', 'play', 'play5', 'incr_clues', 'strike', 'extraround', 'dummyturn']
|
||||
print(', '.join(f for f in flags if model.get_py_value(globals()[f][m])))
|
||||
|
||||
def toJSON(model, deck, num_players):
|
||||
deck_json = [{"suitIndex": COLORS.index(s), "rank": r} for (s,r) in deck]
|
||||
players = ["Alice", "Bob", "Cathy", "Donald", "Emily"][:num_players]
|
||||
hands = [deck[hand_size[num_players]*p:hand_size[num_players]*(p+1)] for p in range(0,num_players)]
|
||||
draw = globals()['draw'][num_players]
|
||||
def toJSON(model, deck: List[DeckCard], ls: Literals) -> dict:
|
||||
players = ["Alice", "Bob", "Cathy", "Donald", "Emily"][:ls.num_players]
|
||||
# we keep track of the hands to output some dummy clues
|
||||
hands = [deck[ls.hand_size * p : ls.hand_size *(p+1)] for p in range(0, ls.num_players)]
|
||||
actions = []
|
||||
for m in range(max_moves[num_players]):
|
||||
if model.get_py_value(dummyturn[m]):
|
||||
for m in range(ls.max_moves):
|
||||
if model.get_py_value(ls.dummyturn[m]):
|
||||
break
|
||||
if model.get_py_value(discard_any[m]):
|
||||
discarded = next(i for i in range(0,NUM_CARDS) if model.get_py_value(discard[m][i]))
|
||||
icard = hands[m % num_players].index(deck[discarded])
|
||||
for i in range(icard, hand_size[num_players] - 1):
|
||||
hands[m % num_players][i] = hands[m % num_players][i + 1]
|
||||
if model.get_py_value(draw_any[m]):
|
||||
hands[m % num_players][hand_size[num_players] - 1] = next(deck[i] for i in range(last_hand_card[num_players] + 1, NUM_CARDS) if model.get_py_value(draw[m][i]))
|
||||
if model.get_py_value(play[m]) or model.get_py_value(strike[m]):
|
||||
actions.append({
|
||||
"type": 0,
|
||||
"target": discarded
|
||||
})
|
||||
if model.get_py_value(ls.discard_any[m]):
|
||||
discarded = next(i for i in range(0,ls.deck_size) if model.get_py_value(ls.discard[m][i]))
|
||||
icard = hands[m % ls.num_players].index(deck[discarded])
|
||||
for i in range(icard, ls.hand_size - 1):
|
||||
hands[m % ls.num_players][i] = hands[m % ls.num_players][i + 1]
|
||||
if model.get_py_value(ls.draw_any[m]):
|
||||
hands[m % ls.num_players][ls.hand_size - 1] = next(deck[i] for i in range(ls.distributed_cards, ls.deck_size) if model.get_py_value(ls.draw[m][i]))
|
||||
if model.get_py_value(ls.play[m]) or model.get_py_value(ls.strike[m]):
|
||||
actions.append( Action( ActionType.Play, target=discarded) )
|
||||
else:
|
||||
actions.append({
|
||||
"type": 1,
|
||||
"target": discarded
|
||||
})
|
||||
actions.append( Action( ActionType.Discard, target=discarded) )
|
||||
else:
|
||||
actions.append({
|
||||
"type": 3,
|
||||
"target": (m + 1) % num_players,
|
||||
"value": hands[(m+1) % num_players][0][1]
|
||||
})
|
||||
actions.append({
|
||||
"type": 4,
|
||||
"value": 1
|
||||
})
|
||||
actions.append( Action(
|
||||
ActionType.RankClue,
|
||||
target=(m+1) % ls.num_players, # clue next player
|
||||
value=hands[(m+1) % ls.num_players][0].rank # clue rank of rightmost card
|
||||
)
|
||||
)
|
||||
actions.append( Action (ActionType.EndGame, target=0, value=1))
|
||||
game = {
|
||||
"deck": deck_json,
|
||||
"deck": deck,
|
||||
"players": players,
|
||||
"actions": actions,
|
||||
"first_player": 0,
|
||||
|
|
@ -185,9 +325,16 @@ def toJSON(model, deck, num_players):
|
|||
"variant": "No Variant",
|
||||
}
|
||||
}
|
||||
return json.dumps(game)
|
||||
return game
|
||||
|
||||
if __name__ == "__main__":
|
||||
solvable, sol = solve(deck_str)
|
||||
COLORS = 'rygbp'
|
||||
deck_str = 'p5 p3 b4 r5 y4 y4 y5 r4 b2 y2 y3 g5 g2 g3 g4 p4 r3 b2 b3 b3 p4 b1 p2 b1 b1 p2 p1 p1 g1 r4 g1 r1 r3 r1 g1 r1 p1 b4 p3 g2 g3 g4 b5 y1 y1 y1 r2 r2 y2 y3'
|
||||
|
||||
deck = [DeckCard(COLORS.index(c[0]), int(c[1])) for c in deck_str.split(" ")]
|
||||
print(deck)
|
||||
|
||||
solvable, sol = solve(deck, num_players=5)
|
||||
if solvable:
|
||||
print(sol)
|
||||
print(link(sol))
|
||||
|
|
|
|||
Loading…
Reference in New Issue
Block a user