There‘s one misconception here: the amount of available numbers grows exponentially with space, not the other way round. So kind-bitsize grows logarithmically with each number added. That’s quite nice.

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I don't understand, I'm afraid.

„Everything gets exponential“ is an advantage in this case. Storing bigger numbers becomes cheaper and cheaper the bigger they are.

I meant that the reservation of ranges would go exponential.

Give them more numbers and they will be tempted to reserve even more.

Alright. Makes sense.