1032
a bit of advice
(sh.itjust.works)
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With the limits of longevity still being pushed, I'd suggest sticking with the OP binary search theme and start at 64.
Well, round numbers will indeed make the math easier.
If you like round numbers, 69 is all curves.
What a sexy, sexy number
There was something familiar about the number on the desk. The handwriting was all pretty curves.
So 64 is absolutely perfect being 1000000 in binary, then all you need to do is go one bit a time for a binary search.