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problem number 1 and 9 are surprisingly very intuitive

check here : 1. high dimensional sphere packing https://muchmirul.github.io/conjectures/sphere-packing/

2. multicolor ramsey number https://muchmirul.github.io/conjectures/multicolor-ramsey



The first link is very sloppy and doesn't actually explain why the "certificate" proves anything about the sphere packing. Or if it did, I couldn't understand it.


Agreed




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