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Five Swords and a Pair of Boots!
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Heres how: Try jumping in with Rocket Jump, shooting her Buster Shot at them so they go flying back toward your tower or a friendly hero, then fireing Explosive Shot and if it is not on CD Ignite. This will twice light them on fire and do more damage over time hopefuly killing them. Then slice them with your Hextech Gunblade. If they try to run away use Exhaust to slow them down and to make your attacks hurt more. Once you have done all of that cast Rapid Fire and proceede to shoot the bejesus out of them.
WARNING: when useing Buster Shot remember it knocks them back so work with your team as best as you can so you do not end up saveing your target by knocking them out of AOEs or away from a team member that could one shot them. Also this spell has a tendency to launch the enemy through walls if used to close to one.
The blue runes I always have trouble decideing what to take because so many of the blue runes are worse than any other color but here I decided to use magic pen. Its not alot no but every little bit helps and the little bit of AP you could get is not going to make much of a diffrence after you finish the item build and more attack speed would be overkill.
For your purple runes I took armor pen since you are hitting fast you are going to be hitting armor alot but without any armor pen comeing from the items you need a little help to bring it up. If you are not worried about armor pen and want to help servive a bit more than you can replace these with Health runes.
It is important you level Exsplosive Shot as fast as you can as well as your Buster Shot as these are the two powers you have that case any real damage.
Rocket jump is not as important to level early as its range never increases however it dose have a damage value and a slow as well so should not be ignored either. Level it when you can not level either of your "Shots"
Rapid Fire could be ignored because of how much attack speed you receve from the items but I still like to get a few levels of it early to make up for not haveing some of the items yet and it helps clear minions away from a tower faster as you have no aoe ability.
All of your spells run off of AP so the more AP the better and honesly 200 is just about all you need when you count in the other things the items do as well as the fact your Buster Shot does 500 base at lvl 3 and with the AP you have in this build you can add about 200 to 300 more on top of that.
The attack speed provided by your items do not total to cap but add Rapid Fire on top and you are probly a little over but better over than under.
Berserker's Greaves: I dont think this item needs an explanation, but It starts your attack spead off and gives you some extra movement speed but not enugh to escape witout a Rocket Jump or an Exhaust.
Malady: This item provides an extra 20 damage on every attack, or an avrage of 50 damage every second at speed cap, and it also lowers your targets magic resistance by up to 20 which is good since all your abilities are magic spells.
Wit's End: This item is quite often over looked by most people but with the change to the item it now causes 42 damage to your target with ever attack even if the target has no mana and useses something else, and if they do have mana then they lose 42 with every attack and on avrage with your capped attack speed this is 105 health and mana damage every second.
Guinsoo's Rageblade: This item is a must and should be gotten as soon as you can even if you take every item out of order because every attack you make makes you attack faster starting at 4% and stacking up to 32%, however it only lasts 5 seconds after an attack.
Nashor's Tooth: This is the one item that I would say could be replaced with something else of your choice but it does provide mp5 as well as CD and a large chunk of attack speed as well as AP so if you were to replace I would say Lich Bane. You would lose a few things but gain more ability power some more magic resistance movement speed and your attacks will be boosted by your ability power as well after each spell you use which works well right after hitting Rapid Fire. Or you could take one of the BF swords but then its moveing away from an ap build but you will output alot of damage.
Hextech Gunblade: This is a very deadly item to have. First once every 60 sec you can use its active ability to inflict a quick 300 magic damage as an opener, a closer, or to steal a kill from someone its just an extra free 300 damage. And by the time you have this item you probly have attack speed cap when you use Rapid Fire so the life steal is going to fill you up and the spell vamp from this as well as the 42 from Wit's End is going to drain your targets mana so fast so even if you die and they live they will have no mana left to hurt your team. I suggest you bind at least one item slot to a key that is easy to press and place this item in that slot.
If you like this guide or have any ideas to make it better please leave a comment. And yes I know I have bad spelling I will make an effort to come back and fix any spelling or grammer errors later.