Is it a rule that we must guess the nonce when mining?

What are the rules for mining? Like, if it hypothetically became possible to mine a block by getting the nonce with other means than to guess it, like choosing what you want the final hash to be and going from there, would that be allowed? Since it wouldn't take nearly as much computational power to successfully find a valid hash, resulting in the oppotunity to find many valid hashes pretty fast.

And if there are some, what are the other rules for mining?



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