this annie build is mainly used for fast 20 minutes surrenders you cant really win without having a good carry. your main objective is to poke down the adc and the support. This build is also a troll, build high skill is required.

The ancient coin is for the extra gold and mana regen, but mainly for the talisman. The reason for the doran items is cause they are cheep with alot of bonus',dorans blade is used for extra damage and a little life sustain, and health. While the dorans ring is used for extra damage and health.

Early game you make sure to keep your ADC SAFE!! even if it costs you a death, the reason is for the more deaths you rack up the less you are worth. Your main objective is to kite around basically trolling them, using her E and basic attacks to survive if played correctly in a team fight you won't die or you will be the only death with an ace.

Pros-
10 min turrets
lane dominance
tanky with little health
pokes enemies down
Cons-
no burst
can't play long drawn out games(will have to buy real items)
not well tested