League Math is Hard

TehNACHO··1 votes·415 views

Calculating Master Yi's DPS, just felt like dropping the titanic mess that is trying to figure out his numbers:

((221+AD+5/(14*(1-CDR))0.1(221+AD))(1+C)0.679(1.54+AS+10/(75(1-CDR))0.8)+1/3(110.5+0.5AD+5/(14(1-CDR))0.1(110.5+0.5AD))(1+C)0.679(1.54+AS+10/(75*(1-CDR))0.8)+(1+(4/3)0.679(1.54+AS+10/(75(1-CDR))0.8))/(14(1-CDR))(165+221+AD+5/(14(1-CDR))0.1(221+AD)+0.6*(221+AD+5/(14*(1-CDR))0.1(221+AD))C))(100/(100+x))+5/(14*(1-CDR))(4/3)0.679(1.54+AS+10/(75(1-CDR))0.8)(30+0.2*(221+AD+0.1*(221+AD)))

Like goddamn.

5 Comments

asamu2 votes

Why are you calculating all of his dps over an infinite period of him constantly attacking? because that's not applicable to anything. Also, that equation ignores the time lost auto attacking due to alpha strike usage, which is actually a loss in DPS if you are able to attack constantly.

Just calculate his AA DPS with/without his E, and with/without his ult, (separately) and ignore Alpha strike, because it won't, and shouldn't always be used on CD. CDR shouldn't be bothered with IMO, because it's not really relevant to his actual DPS; his steroids have long enough durations to apply for most of a fight, or at least for the duration of him killing a particular target, and long enough CDs to not usually be usable more than once in a single fight.

((111+AD from runes, items, and masteries)x1.1 for wuju style passivex(1+chance to Crit; multiply chance to crit by 1.5 if Infinty)x(3.5/3 for double-strike)+(on hit damagex4/3 for double strike; x1.5 if sated devourer))x(base attack speed of 6.79x(1+ % bonus attack speed from items, runes, masteries, and level)x (1+bonus % damage) for each offensive mastery that provides % damage: ex, x1.03x1.02 if double edged sword and Havoc, since they apply multiplicatively.

Assuming Sated devourer, BoRK, Infinity edge, Ghostblade, boots, and Static Shiv, with ~9 AD and ~17% attack speed from runes, and 14 AD and 20% attack speed from masteries (with Frenzy), fully stacked bladeweaving, double edged sword, and Havoc, and attacking a target with 2.5k hp stationary target, (ignoring resists), until the target dies (.04*max hp for bork), his DPS should come out to ~1482 without his ult or Ghostblade active, ~1612 with just ghostblade active, ~1743 with just his ult active, and ~1831 with both his ult and ghostblade active. (with Wuju style being active)

TehNACHO1 votes

The big answer to this big post is: I wanted to challenge myself.

Normally I just assume all of Yi( or any other champion)'s steroids are up (Ult+E+Youmuu's+Whatever I happen to put into the build). This time around I just wanted to see how complicated everything is.

Also I figured to ignore the delay Alpha Strike causes since Yi is also invincible at that time and (for example in a 1v1 situation) that's not technically going to make a difference in his DPS relative to another champion hitting him.

TehNACHO1 votes

Also, I recall the highest possible DPS I got Master Yi to through calculations was like 2000+ against targets aroundish 70 armor.

BeatinWarDrumz1 votes

wot

TehNACHO1 votes

Crazy right?

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