Interesting, I would have expected rounding errors large enough to skew the results, but your results agree with mine as far as the final value I've discerned so far in 1..99:

87 => 
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sssssssssssfsssssssfssssssssfssssssssssf
ssssfsssssssfsssssssssssfssssssssfssssss
ssssfsssssssssssfsssssssfsssssssssfsssss
sfsssssssssfsssssssssfsssssssfssssssfsss
fsssssssssfssssssfssssssfssssfssssssssfs
fssfssssssfsssssfssfsfssff
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Hugo

Update 2023-11-27: broke long line