Oops i forgot!

when you fight one-eye in the species conquest he will drop triple AP weapons which will help when going round the sphere grid.

scenario: you are fighting cactuars in the valley and you get 3 in a battle. an overkill will get you 12,000 AP. as there are 3 that makes 36,000. Then with triple AP this becomes 108,000 AP!!! this is why i recommend cactuar valley.