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from #thread (https://reddit.com/r/keyholdercaptions/comments/ew6rxs/i_did_the_math_and_the_safest_answer_is_19_but_is/) by @FailedTheReCaptcha
as far as i can tell, 19 is the worst possible answer.
as the first case would grant you n orgasms, the function of orgasms is o1(n) = n. in the second case, you are granted 365 / n orgasms, so o2(n) = 365 * 1 / n, or o2(n) = 365 * n ^ -1. adding both of them together and averaging them (as this is stochastics) yields
o(n) = 0.5n 0.5 * 365 * n ^ -1
where n is your answer and o(n) the count of orgasms this year. doing some analysis shows that there is a mininum at ca. 19.1
o'(n) = 0.5 -0.5 * 365 * n ^ -2
o''(n) = 365 * n ^ -3
o'(n) = 0 <=> 0.5 - 0.5 * 365 * n ^ - 2 = 0
0.5 * 365 * n ^ -2 = 0.5
n ^ -2 = 0.0027398
n = 19.1049733
o''(19.1049733) = 0.05321475
as n approaches 0 or positive infinity, o(n) also approaches infinity. meaning you should either go with the smallest or the highest possible number.
edit: reddit mobile messed with the formatting. oh well
Kind of nervous posting this I'm wondering i(f) you guys would like my body thoughts? (19)
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