Talk:Nakak Pearls/@comment-181.126.145.238-20190804041052/@comment-20753550-20190804084520

Math fail.

You would be stupid to farm all the mods this way, so your math does not apply.

It's only 4050 for the exclusive content, so 81 runs, or 6 hours 45 minutes.

Regarding the mods, it takes a fixed 4 runs (20 minutes) to get one, and you can choose which of the 9. Defeating Kela De Thaym gives you a random one of those 9 with uniform probability. If you don't have them yet, initially you get new ones faster by doing Kela, later when there a specific few ones missing you can save time from the Kela grind by buying the last ones through Nakak Pearls instead.

Let T be the time you need on average for one Kela run, and N be the number of mods of the 9 you still need. The average time to get the next mod through Kela is then T * 9/N. It increases as N decreases. It will be superior to switch to Dog Fight once this time exceeds Dog Fight's static 20 minutes.

20min = T * 9 / N  <==>  N = 0.45 * T/min

So once there's only "0.45 times your time to beat Kela in minutes" mods left to collect, you should switch to Dog Fight and get it quicker.

The breakpoint times for Kela runs can conversely be calculated as T = 20min * N/9, we get:

Below 2:13 for 1, 4:27 for 2, 6:40 for 3, 8:53 for 4, 11:06 for 5... if you need any longer to kill Kela you shouldn't be there in the first place.

So anyways, the mod offerings for Nakak Pearls don't increase your time farming Dog Fight, they decrease your time farming Kela De Thaym under some circumstances.

Also obviously, an even more time efficient solution to farming the 9 mods as fast as possible is doing exactly 9 Khela runs and trading whatever duplicates you got for the missing ones.