Included in the replay is the fastest timing of which I have tried to solo Roshan. It took about 8 tries to be honest, not easy. The mode is -ap and used 900 gold (though the last 2 clarities were not put to use, 1 unspent 1 unnecessary), so actually just 800 gold is enough.
We begin with 600 gold in normal dota, so someone probably needs to buy you 4 clarities. Either that or you have to quickly buy 4 clarities with the gold you get from jungling and get your courier to fetch them. The former is probably better, whoever is playing support could afford to buy 4 clarities, and the gold from your jungling can be used to upgrade crow so you are paying back the support player anyway.
I also jungled to simulate how it could be used in real-time, so in actual fact it could have been faster were I to get exp from lane instead. A DD rune would help alot as well but it was not in the replay.
Accounting for the above, speeding up the kill by about 15 seconds or more is totally possible too.
Imagine this being used competitively, just ask for clarities from your teammates, and voila ! 200gold to everyone few mins later !
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