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I have calculated an upper bound and modified a calculation of a lower bound for a similar game. I assume the real size is closer to the upper bound. $$7.36 \cdot 10^{27} \leq |SPADES| \leq 3.09 \cdot 10^{72}$$ Upper bound The State-space complexity of Spades can be computed by counting for each possible starting state (deal), all the possible sequences ...

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