1. = Entering the Hall of Fame
2. = Getting 5 Shiny Leaves on 1 Pokemon then speaking to Ethan/Lyra
3. = Getting 100 win streak in the Battle Tower
4. = Getting access to the Friendship Room in the Pokeathlon Dome
5. = Completing the National Dex (there is certain pokemon that you don't have to "obtain" but most of them you do, look for info on this...)
There you go sport...
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"The Nine Tails of Subconscious - Lawence Codye"