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In a neural network for chess (or checkers), the output is a piece or square on the board and an end position.

How would one encode this?

As far as I can see choosing a starting square is 8x8=64 outputs and an ending square is 8x8=64 outputs. So the total number of possible moves is 64x64 4096 outputs. Giving a probability for every possible move.

Is this correct? This seems like an awful lot of outputs!