Talk:Garen/@comment-26837195-20150914131702

Time to do a bit of math to find out how much health you'd need with your ulti to get rid of a villain.



Formula:

C*(1-A)-A=0

C*(1-A)=A

(Health percentage damage multiplied by one minus current health (missing health) should equal current health.)

to

A/C = 1 - A

to

- (A/C - 1) = A

-A+C = AC

or

C = (1 - A) / A

ergh-bad-algebra-why-won't-you-let-me-get-A-alone!!!!

C = Missing health percentage damage

A = Current health percentage

<p style="font-weight:normal;">

<p style="font-weight:normal;">Alright, too tired to think straight with algebra so I'll just dump numbers inside until I get results.

<p style="font-weight:normal;">

<p style="font-weight:normal;">THIS ONLY APPLIES TO THE VILLAIN!!

<p style="font-weight:normal;">

<p style="font-weight:normal;"><span style="font-weight:normal;color:rgb(192,51,0);line-height:26px;">C = 28. 6<span style="font-weight:normal;color:rgb(192,51,0);line-height:26px;"> / 33. 3<span style="font-weight:normal;color:rgb(192,51,0);line-height:26px;"> / 40

<p style="font-weight:normal;"> 0.286*(1-A)=A

<p style="font-weight:normal;">0.286*(1-0.2)=0.2288

<p style="font-weight:normal;">Against HP tanks:

<p style="font-weight:normal;">Try to hit one fifth, or less. Never go over.

<p style="font-weight:normal;">

<p style="font-weight:normal;"> 0.333*(1-A)=A

<p style="font-weight:normal;">9001 guesses later...

<p style="font-weight:normal;">0.333*(1-0.2)=0.2664

<p style="font-weight:normal;">Against HP tanks:

<p style="font-weight:normal;">Try to hit at around one fifth, or less if possible, only go over one fifth if you got an extra tiny bit of damage left, like a slow from ice gauntlet letting you get in for one auto attack.

<p style="font-weight:normal;">

<p style="font-weight:normal;"> 0.40*(1-A)=A

<p style="font-weight:normal;"> 9001 guesses later...

<p style="font-weight:normal;">0.4(1-0.3)=0.28

<p style="font-weight:normal;">0.4(1-0.3)=0.276

<p style="font-weight:normal;">0.4(1-0.29)=0.284

<p style="font-weight:normal;">0.4(1-0.27)=0.292

<p style="font-weight:normal;">Against HP tanks:

<p style="font-weight:normal;">Right, approximately 28% HP, not counting the base damage. When striking a Villain at 3 ranks, wait for the bar to go at around one fifth, only taking advantage of the extra 8% if you're confident in your estimation skills, even if you don't have any extra damage left.

<p style="font-weight:normal;">

<p style="font-weight:normal;">The very instant kill zone starts very slightly above one fifth of a bar full of health and extends to everything below, if they're an HP based tank. Always use this instant kill zone against HP tanks that have an escape, or are more regen based than full on HP. At 3k health, 525 is 1/6th, so the practical instant kill zone is around 2/5, or a quarter at rank 3.

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<p style="font-weight:normal;">Against everyone else, feel free to go up to 50% if you think they have a very small HP pool. Most squishy champs have 1-1.5k health so 525 is half to a third of their health!

<p style="font-weight:normal;">

<p style="font-weight:normal;">Against non Villains, try to go for 1/10th health or less if they're tanks. If they're squishies, go for 1/10th to a third, depending on their defenses.

<p style="font-weight:normal;">

<p style="font-weight:normal;">TLDR: The optimal HP for executing a villain is dependant on what they are. Against tanks, go for when their health bar is around 2/5 to 1/4 full, for squishies, go for 1/4 to 1/2 at 3 ranks. At lower ranks, a fifth is always the safest you can get, but you should have an extra Q if you fail. Go safer against heal based or mobile champs, otherwise go ham. With non villains, go for 1/10 or less health against tanks, 1/3 to 1/10 against squishies.