Talk:Lucian/@comment-24302145-20140620204109/@comment-24302145-20140621131519

Well I actually decided to do some math on the BotRK vs BT rush. (Warning, long post. TL;DR Botrk > BT because maths.)

Lucian's regular (trading) combo is AA-Q-doubleshot-W-doubleshot-E-doubleshot. Assuming max rank Q and not factoring in base damages and base AD (because those are the same whether you buy BotRK or BT), that deals (100+120+150+30+150+150)% of Lucian's bonus AD, which is 700% of his bonus AD. However, you also attack 7 times (counting doubleshots as 2), meaning you apply the BotRK shred 7 times.

BT has 80 AD. So the combo will deal 560 bonus damage with a BT.

BotRK has 25 AD and the 8% current health shred. So the combo will deal 175 bonus damage, plus the shred.

The shred, proccing 7 times, must be worth more than (560-175) damage, which is 385 damage. 385 / 7 is 55, so the shred must deal more than 55 damage upon each proc.

If we set x equal to the current health an enemy must have in order for each proc to deal more than 55 damage, then we have the following equation;

0.08x > 55

Solving for x we get

x > 687.5

So as long as the target has more than 687.5 health, BotRK deals more damage than BT. (Not factoring in crit, but by the time you get some crit, BotRK will deal a lot more damage, too.)

Now when we look at base health lists, we see that champions usually surpass 687.5 health at level… 3 or 4. Additionally, supports usually buy a Sightstone, and ADCs will buy Doran’s Blades. Thus, it is clear that BotRK is superior to BT on Lucian.

Besides, BT costs 300 more gold, the shield is pretty negligible compared with the BotRK active, BotRK gives attack speed unlike BT, and the lifesteal difference is 5%. Considering that you’re Lucian and you’re going to outtrade your lane opponent anyway, I don’t think it matters.

The only time BT would defeat BotRK is if you were simply poking with Q and not utilizing your passive. But that’s not going to do much damage in either case.

