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Only 32
math checks out. log2(8 billion) ~= 32.9
It's a little more complicated than that. You have to be summing everyone who is still tied to all the previous tracks. It needs to be a geometric sum formula.
You could just move them over whenever someone decides to double it up. That way the person that was going to die alone is doomed to die anyway. 😂
I wonder if we do stack it till every human is tied to the track whos at the lever?
Does the train/AI decide?
The current version of GPT is willing to sacrifice billions of robots for humanities sake. However, it proposed to strap alien civilizations to the track next. And in that case it would choose to save the larger group…
It'll just be one fewer junctions. 2^n is always one more than the sum of 21+...2(n-1)
I think you have to include 2^0 for that to be true?
e.g 2^0 = 1, 2^1 = 2 2^0 + 2^1 = 1 + 2 = 3, 2^2 = 4 … 7, 8 15,16 31, 32 etc.