Connect Four Hash Function: Map close elements to close hash keys?

I don't think this is possible. A good hash key (like zobrist hashing is for board games) will most likely have pseudo random properties to achieve a uniform distribution of keys in the transposition table. Having the keys of "close" positions close to each other in table contradicts this.

Here is how to modify your presumably nearly uniformly random hash function to bias it in a way that similiar board positions are somewhat likely to occur at nearby hashes.

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