The Sleeping Beauty problem itself is a famous problem in the philosophy of probability, and obviously we aren't going to resolve it here. Fortunately, the question here is more concrete, so let's just do it. Of course, you need not say the same thing every time. Conclusion:


Then, Additionally,


Code to find the pattern: https://ideone.com/O5S4Qu (The third number printed out on each line is the winning move if the player to move is in a winning position)


However Why? so whatever Bob can arrange these cards in the best case scenario, Let's make it more complex; so even it is 0 to 100, Ann will


We have a winning strategy for: The first move is:

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