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    And now the optimal strategy of your adversary uses this strategy…

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      A nice result from game theory is that there exists a (potentially mixed) optimal strategy for both players. But that doesn’t tell us what the optimal strategy is. Since OP allows ships of length one the hardest part is hitting the ships of size one. A good strategy (at least to me) seems to be placing the large ships on the rim and then randomly distributing the size one ships. Your opponent then spends most of their shots searching for the small ones.