ADC itemization
I was originally going to write this about the relative value of Blade of the Runed King, Infinity Edge and Bloodthirster. But once I got into the numbers, I quickly realized that the advantage goes to Blade of the Runed King on virtually every ADC and even a fair number of AD casters. The old Blade of the Runed King was a push on someone like Graves. The new Blade of the Runed King is a slam dunk over every other big ticket item (the fact that it's cheaper then Bloodthirster and Infinity Edge only makes the case stronger).
Here's the rough math:
Assume a low health target (~2000 hps is relatively standard):
BotRK strikes based on current health. So 5% of current is ~ 2.5% max (alpha strikes probably skew this slightly higher but let's keep it here for the analysis).
So against a target with 2000 health, BotRK now increases damage by 30 + 2.5% * 2000 = 80
Bloodthirster is 110 AD (fully stacked)
Infinity Edge is 70 AD
But there's other factors here.
BotRK now gives 40% attack speed.
Infinity Edge gives 25% crit chance and 250% crit damage (normal crit damage is 200%).
So BotRK is increasing DPS by 40%
Infinity Edge by 37.5% (25% chance to crit * +150% crit damage)
So the Infinity Edge has a very, very slight edge if you're total AD is less than 400 and all your opponents are 2000 health (or less)
Bloodthirster is only a better item (when measured as DPS) when your AD is lower than 53.3 (i.e. never) as compared to IE or 75 as compared to BotRK.
Bloodthirster has a weird edge in lifesteal but it's deceptive. 20% vs. the 15% on new BotRK. But BotRK has 40% attack speed. So here's the breakdown for various combinations of AD and opponent health.
100 AD - 2000 health: 38.6% health steal edge for BT, 20% DPS edge for BotRK
400 AD - 4000 health: 5.9% health steal edge for BT, 45.5% DPS edge for BotRK
Here's the normalized numbers with IE mixed in (1 attack per second with IE and BT):
70 AD - 1000 health: 180 DPS, 36 sustain for BT - 175 DPS, 22.5 Sustain for BotRK - 192.5 DPS, 0 Sustain for IE
100 AD - 2000 health: 210 DPS, 42 sustain for BT - 252 DPS, 30.3 Sustain for BotRK - 233.75 DPS, 0 Sustain for IE
300 AD - 3000 health: 410 DPS, 82 Sustain for BT - 567 DPS, 73.8 Sustain for BotRK - 508.75 DPS, 0 Sustain for IE
400 AD - 4000 health: 510 DPS, 102 Sustain for BT - 742 DPS, 96.3 Sustain for BotRK - 646.25 DPS, 0 Sustain for IE
While IE provides a big ticket bump early on in the game, BotRK is definitely the better item mid to late game. If you get fed early, rushing the IE is probably a good decision but if you get bogged down, BotRK is better for you and is actually a lot easier to purchase because it doesn't force the awkward 1550 gold for BF sword
so as you get more powerful and you transition more the late game, the BotRK becomes more and more dominant.
Now you have to consider your AD scaling. I think BT might still be better for someone like Talon who scales his abilities off AD at ratios well in excess of 1.0 and doesn't make all that many auto-attacks. But on the ADCs it's clearly better to go with BotRK. This is especially true for the champions that that either lack AD scaling abilities (Tristana) or have attack speed scaling abilities (Vayne's Silver Bolts). And, of course, all the number above are based on an average 2.5% of health bump to damage. If your typical ADC pattern is to cleanup at the end of a fight, you might not realize those first damage shots. Alternatively, if you're constantly attacking low health squishies (sub 1500 health) then the IE might bet the better item. On the other hand, if they've built at all tanky and/or you're going to get lots of shots in (because you have long range like Caitlyn / Tristana for example) then BotRK is for you.
I suspect that this, plus the attack speed buff that Tristana just got, is going to make Tristana the new flavor of the month ADC... I'm glad she's one of the few that I'm vaguely confident with... Gonna try playing with her tonight, I think.
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