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Admittedly with high attack speed if you are fighting for hell lets say 15 seconds yes you will come out on top.. but i will recalculate at 4 seconds on another day if i can be bothered and post the proof to you here... No fight should lasts more then 4 seconds even on a **** twitch.
You are really relying to heavily on your expunge, The attack speed is nice and will get your stacks on quickly. The ratio is 1:1 so the damage when you expunge will be ok however the problem i have is that you really are lacking in every other way. With the first 5000 gold you only have +35 (45 with dorians) damage. Thats the equivalant of a single B.F. Sword. But you should already have this damage by around 3000 gold. The extra AP you have at this time is 70 + 30 if max stacked. Now if you average that out:
expunge + 100 damage no matter what level so assuming normal building you should be level 7. expunge would be doing (ignoring base damage of attacks):
1 stack: 270 damage +45 for bonus damage = 315 damage
2 stacks: 320 damage + 90 for bonus damage = 410 damage
3 stacks: 370 damage + 135 for bonus damage = 505 damage
4 stacks: 420 damage + 180 for bonus damage = 600 damage
5 stacks: 470 damage + 225 for bonus damage = 695 damage
6 stacks: 520 damage + 270 for bonus damage = 790 damage
Now lets look at only using around 5000 gold getting a Zeal and a Infinity Edge as an example. This will give +80 Damage per hit and give you a chance to crit (+35% from items). Assuming level 7 again expunge would be doing (ignoring base damage of attacks):
1 stack: 170 damage +80 for bonus damage = 250 damage
2 stacks: 220 damage + 160 for bonus damage = 380 damage
3 stacks: 270 damage + 240 for bonus damage = 510 damage
4 stacks: 320 damage + 320 for bonus damage = 640 damage
5 stacks: 370 damage + 400 for bonus damage = 770 damage
6 stacks: 420 damage + 480 for bonus damage = 900 damage
As you can immagine these are ignoring armor all together and armor reduction from malady is taken off as well as the crit chance in the second build. But as soon as you hit them 3 times you are actually going to be doing more damage overall when you hit expunge if you have a pure damage build rather then an ap build.
All in all though if you are looking for a troll build just for fun, Nice but i would definately look at adding a butt load more AP in there!
I will look into your links to help make my guild more visually appealing as well. Thanks again!!
I also don't think it's clever to go for Lethality because you barely have any chance to crit, so why would you want to increase the damage...? It might be better to go 22-0-8, putting the 3 points you have in Lethality into Awareness and Offensive Mastery or the Ignite improve mastery (sorry, can't think up of the name right now).