So I thought about it more.

If no machines are allowed, can't we just craft 2 lists of questions whose answers add up, in total, to a certain number of letters. The same sum for both lists.

The expert reads the questions and gives the total. If the total is ok, he knows, if not, he doesn't?

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Really interesting idea, I like it. Obviously difficult in practice, but the spirit of the idea makes sense, as long as the numbers get large enough.

Ok, I give up, 😭😭😭.

What's the answer ?