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A matter of math: HP vs Resistance/Damage vs Penetration






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Choose Champion Build:
Spells:
Flash
Ghost
Ability Order
Frost Shot (PASSIVE)
Ashe Passive Ability
Before your read!(especially haters)
- OMG DT you're such a noob!
- These builds are not even complete!!
- Team 1 Runes and masteries dont make sense at all!! Nobody is so stupid to do that!!
- I am going to hate you and down-vote you to death!!!
- Uninstall LoL man!
For all those people, this is my response:
You're the ignorant. The title of this guide is not: How to fully build each of the following champions and totally kick *** in a game!
This guide will explain how resistances and penetrations work and how it is most convenient to use them. And the champions' runes, masteries and builds are for example purposes only and not for showing you which is the best builds for them. Btw, I have used all of the champions above, none of them are my main champions but I've got some basic understanding of them and how the factors I am gonna talk about work on them.
If you want to see a complete and detailed guide about each of these champions STOP READING RIGHT NOW and just look for the highest rated builds for each of them.
Some time ago, I was really excited about writting guides about build and how much damage could you really put inside a character. And I did some guides, about hybrids, dps, and mages. But recently I realized: What is the point or writting premade builds if you will always have to change it for each game to suit your team or counter the other. The other team may build in a way that will completely screw the build that you saw in the guide and you would totally lose and say: wow this build sucks. Actually, it is you who doesn't quite understand how this game works. You must judge the situation and determine which is the best build to go for with the champion you are using and the situation that you're in.
The purpose of this guide is to improve the way that you judge situations and actually know how to counter that Katarina that is penta-killing all the time or that Irelia that should be reported for psycological abuse because of having 5 consecutive aces whithout getting below 50% HP!
In League of Legends you have Magic Resist and Armor which both work with the same system. Your accumulate a flat amount of resistance that is then converted into a percentage value of damage reduction. The conversion formula is the following:
X(flat resistance value)/(100+X) = Damage Reduction
So if the flat value of resistance is 150,
150/(100+150)= 0.6 --> 60% of damage reduction
This formula makes that the more flat value of resistances you have, the less it will scale as damage reduction. Take as an example the following values:
20 --> 16.7%
40 --> 28.6%
60 --> 37.5%
80 --> 44.4%
100 -> 50.0%
They can both be pierced using flat penetration(







Note that the larger the resistance value is the more effective the percentage penetration becomes. If someone has 20 armor it will be a lot more useful to have 20 armor pen than 40% armor pen.
Also note that the flat penetration and reduction is applied before the %. Here I have another formula for this calculation which mixes both penetrations.
Final Resistance = (Original Resistance - Flat Penetration)*(100 - % Penetration)/100
IMPORTANT!: This formula only works when your penetration + reduction does not exceed the resistance value of the enemy. Though your penetration cannot make the resistance go below 0, your resistance reduction can.
If you're courious, I am very lazy, and calculating everything again and again is a real pain in the *** so I used Microsoft Excel for the calculations in a way that I only have to enter the original resistances and penetrations, and it gives me all the final results by itself. Nice uh?

Supposing he is at level 18, he will have 30 Magic Resist and 84 armor.
- 30 magic resist = 23.1% damage reduction
- 84 armor = 45.7% damage reduction
The other team will have a lot of damage. For example Annie will have

How about dps? They will get at least 1 item of armor pen (lets say

That said: HOW THE HELL CAN A CHO GATH WITH TONS OF HP BE A TANK??!!
I see this a lot of times (not exactly 5 warmogs but a lot of AP and HP but no resistances), and each time I say either THANK YOU GOD! or **** YOU CHO!!!
A tank has the role to RESIST a lot of damage from the other team, not to TAKE a lot of damage from the other team.
Lets get this clear, a Cho Gath has an ultimate to cover his health, so the items should be covering his resistances whith items like






A tank must always you TAB to know what the other team is building and who has more kills and know which guys are more important to tank an use Crowd Control effects (slows, stuns, taunts) on them.

"But DT Ashe has crits and Fiddle is damage over time and life steal on ashe would solve the problem!!"
And fiddle has a 3 second Fear from

Almost all champions end the game with 30 magic resist leaving the champion completely defenseless against any caster that is smart enough to get enough magic penetration. Leaving your champion with 30 magic resist till the end of the game is suicide. Get


AP Casters:
You have a great early game advantage. You can get runes that give you 16 magic penetration and with your boots you get a total of 36 of magic pen plus 15% of magic penetration just from masteries. So the amount of magic resist they have noe is a flat 0. They receive complete damage from you. Usually the tank would notice that and get some magic resist but the ones that really matter are the casters and DPS. These two usually concentrate only at their damage and no resistances, so you can preety much concetrate a bit on your magic resistance and then full damage since you penetration aspect is completely covered. You'll be a monster in the end of the game.
Other thing you can do is getting



A piece of advice here. If there is another castir in your team and you are in a team fight phase, try to get

As you may have noticed, each time you get a little bit more of magic penetration, your actual pierce goes higher. In other words, the more you have the less magic pen you need to pierce the enemy's armor. With that said imagine you just got your shoes, abby and a rabadons deathcap. You're pretty well built. Now what should you do? Get a


It depends. You have 3 options:
- None of them: no dps or caster got a resistance item and you can purely focus on damage after your resistances are covered. If only one guy got higher resistances but he is really not that important and is constantly dying then just dont bother wasting your money and get more damage.
- Haunting Guise: The other team got Mercury Boots or a

- Void Staff: The important champions in the game got some magic resist from boots, banshee's or abyssal scepter and have a big amount of resistance now. The Void Staff would be a the best choice.
For AD carry:
Your role is a little bit different, the resistances of your enemies are higher for you and they scale as they level up. It makes your role a lot more complicated at the beginning since you dont have piercing boots. But, you got other things like



So it actually makes up for the carrying role. At the beginning you suck but in the end you are unstoppable. With the ad carry, there is almost no chance of getting 100% damage from your cleave, but your criticals and your attack speed got you covered. Be imaginative and mix your armor penetration with other stats that better fits your champion.
- DPS and AP Casters also need magic resistance!
- Haunting Guise is a great and cheap alternative to counter light magic resistances
- Know when to use the Void Staff/Last Whisper and when to go for an Aby or a Youmuu's Ghostblade.
- Penetrations are more important than flat damage.
Please rate and comment. Your feedback is important!
And sorry for any grammatical mistake! English is not my original language xD
12/07/11 --> - Fixed content at the "Introduction", Took info from "The Basics" and put it into "How to use penetrations". "The Basics" was fixed aswell. Added some info in "Now to the Hit Points"...ok I Fixed info everywhere xD. Added some color to the text too. Corrected various spelling mistakes and item's names. Also added icons to have more info about the items.
24/07/11 --> - Made a remake in many sections basically fixing the topic of penetration and negative values. Also fixed some spelling mistakes. Sorry it took so long :/
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