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## Introduction

Hey guys, Ozuar here with some math for you on why you shouldn't necessarily insult people who are trying to play a champion in a role they wouldn't usually be played in. I will be examining in detail the damages that AP (a sometimes played alternate build path) against the traditional build. Both of them take on an assassination role in fights. Instead of continuing to type out words, I'll throw some math at you right now, then do some analysis afterwards.

## Math

Both of these combo equations consider that the champion has a Lich Bane. Leona will auto-attack twice, once to detonate Lich Bane and once to apply . Fizz will apply Lich Bane with and will use one auto-attack to apply

Total damage dealt by AP Leona's combo, excluding sunlight detonation:

$1040 + (265% AP) + (200% AD)$

A Fizz combo, with one auto-attack:

$(900 + (360% AP) + (200% AD))*(1.08)$

Set them equal to one another and solve for AP:

$(900 + (360% AP) + (200% AD))*(1.08) = 1040 + (265% AP) + (200% AD)$

Given:

Fizz AD at level 18 = 107

Leona AD at level 18 = 109

$3.888A + 1203.12 = 2.65A + 1258$

$1.238A = 54.88$

$A = 44.329$

Therefore, Leona is only stronger than Fizz before they both reach 45 AP. Leona needs to build 35.84% more AP in order to stay ahead of Fizz.

## Analysis

Now, I know what you're thinking:

"He didn't prove anything, Fizz will pretty much always do more damage than Leona."

But that would be wrong. You see, Leona does deal damage comparable to the amount of damage that Fizz deals, she just requires more ability power to deal that damage. Leona also has very high crowd control and a self armor and magic resistance steroid, making her less susceptible to being bursted down at an attempt to assassinate. Also keep in mind that this all assumes that Leona doesn't get ANY sunlight detonations.

So what should you take away from this?

Picking Leona as your assassin mid is like picking Ashe as your ADC. You get less damage for significantly more utility. She is just as viable (and therefore just as niche) as Ashe is, just for a different role.

Thanks for your time and I hope you learned something. Also, if I did any math wrong then just let me know and I'll be sure to fix it.