I can't find any way to add the rule backward (child structure to parent key)
I have zero idea how to do it

.... even chatgpt and mistral said is impossible ( i have questions about it

, take as a grain of salt)
And no, a potato pc can't do all this smiths... I'm saying because I have a simple potato laptop and god knows how bad is going
The result will always be the same, whether you use the range as a decimal number and generate random numbers there, or whether you use log(2) as a different notation. You could also chase the numbers through other algorithms. Some will work faster and that is the only advantage.