1.Start with a doran's shield or a Regrowth Pendant + life potion. It will help you to stay on your lane until waiting for 6th level.

2.Then, you can take boots for the early game, and you will sell them later.

3.Buy a Bilgewater Cutlass

4.Now the brutalizer in order to get the Youmuu's Ghostblade. When done, get the Gunblade.

5.Buy Zeal and when enough money, take the Phantom Dancer

6.It is the moment to buy your Infinity Edge (begin with the B.F. Sword).

7.If you haven't already sold your first item (Doran or Pendant), sell it and buy Brilliance before you can get Trinity Force.

8.Sell the boots and buy Atma's Impaler.

If you think you don't have enough mana, Atma's Impaler can be replaced by a Lich Bane, but you will have less armor, be careful.
Remember you can have the blue buff if your partners don't need it.

This build lack of magic resistance so, if your ennemies are rather magical than physical, Atma's impaler must be replaced by a banshee's veil for survivability.

Comments and critics are welcome :)

*Sorry if my english is not perfect*