Saturday, June 18, 2022

Puzzle Leaderboard - Chess Rankings -

I'm #8540 on the puzzle ratings.  I was expecting that the top ratings would not go too high, but I was wrong.   The top three ratings are all 65540, which for the reasons I give below, I suspect is the highest possible rating.

I find this 65540 number suspicious because the top three ratings are this number.  The maximum value that can be stored by a 16-bit number is 65536.   If you want to save storage space, why use a 32-bit or a 64-bit number to store ratings when a 16-bit number would do?  The 65540 number almost fits.  You can make it fit by making the lowest possible rating the number 5.  Why would you set a lower limit on the rating?  To not accidentally run into a divide by zero problem, which can crash computer code, or other mathematical oddities from having a low or negative number in your equation.

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