Kenkoooo's AtCoder problem recommendation has columns for solve probability and median solve time. I understand that solve probability is computed using the user's internal Elo, but how does kenkoooo estimate median solve time? 
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CodeTON Round 9 (Div. 1 + Div. 2, Rated, Prizes!)
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| № | Пользователь | Рейтинг |
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| 4 | Radewoosh | 3633 |
| 5 | jqdai0815 | 3620 |
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| 7 | ecnerwala | 3446 |
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| 9 | ksun48 | 3390 |
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| 1 | cry | 167 |
| 2 | Um_nik | 163 |
| 3 | maomao90 | 162 |
| 3 | atcoder_official | 162 |
| 5 | adamant | 159 |
| 6 | -is-this-fft- | 158 |
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| 8 | TheScrasse | 154 |
| 9 | Dominater069 | 153 |
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You can try to read the source code: github.com/kenkoooo/AtCoderProblems
In particular, the solve time is computed here in atcoder-problems-frontend/src/utils/ProblemModelUtil.ts, which seems like a linear function of your rating times
problemModel.slopeplusproblemModel.intercept. These two parameters are computed from a simple linear regression on participants' ratings and their solve time of the problem, not particularly sure about this but you can take a look at the time-estimator folder and function.py.