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The states don't need to map 1:1 with cities or temperatures. They merely need to encode all information collected so far which is still relevant. They also don't need to represent all possible situations - anything that is super rare (eg. temperature of 95C) can simply be diverted to a special "invalid" state which triggers regular code to take over for those few entries.

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Hmm, still doesn't seem feasible. Even if you only have 256 "relevant" states (which I think you'll agree is far less than what you need) then given a 32-bit input your state transition table is 2^32*256 = 1 Terabyte.

You could shrink your input size to 2 bytes but then you can't work on a word at a time, and for a realistic number of relevant states your transition table is still way bigger than you can fit in even L3 cache.

Unless I am missing something very basic, this doesn't seem like a viable approach.

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