In the Inverse House on Route 18, the player can battle Psychic Inver in an "inverse battle" once a day, after which he gives the player one or three of many possible items. The vast majority of the time, I've only gotten Sitrus Berries from him, and there are scattered statements on the Internet that suggest that what item you get is somehow based on your performance in the inverse battle.
Just how, exactly, is the item determined? I know that the quantity is based on whether any of your Pokémon fainted, but beyond that I can't find anything definite. It is just based on how many super-effective moves you use? Does using non-super-effective moves decrease the quality of the payout? Does battling him multiple days in a row somehow get you better items? Am I just really unlucky? What?
Best Answer
After thorough testing, I can say with quite some certainty that I understand how Inver's rewards work. Here are my results:
The number of items you receive is 3 if none of your Pokémon faints, 1 otherwise. I've heard rumors about getting 3 if you lose, haven't tested this, but assume it's a hoax.
The item depends on the number of super-effective (S) and not-very-effective (N) hits you land during the entire battle. The difference S-N becomes your number which determines the item category. Within a specific range of numbers, which item you receive is random. Moves with normal damage have no effect on this.
You have to start before midnight for it to count for that day. How long the battle takes doesn't matter, you can still battle him again if the date rolls over during the battle.
Changing time or date on the 3DS resets the timer and you will have to wait for 24 hours until you can challenge him again, possibly more (it's possible the actual time is 24 hours + whatever time it takes for the date to roll over after that). Changing it back won't fix this.
Here's the list of Item ranges:
And here's my list of Items received on each number, starting with the Berries (which are noted by the type they make the carrier resist), followed by the Stones. This is the data I had available to reach the above conclusions (* denotes results since I found out the formula is S-N):
One last thing I have for you is the ultimate Inver farming strategy, which is the way I got all this data and as far as I can tell the only way to reliably reach anything above 6 without having some of your own Pokémon faint. I'll do a step by step guide.
Don't forget to heal your Pokémon so none faints. If something goes wrong, just reset and try again.
This way you can get 3 Evolutionary Stones or Rare Candies per day, depending on your needs. Note that if you're going for Candies, you can do as many S hits as you like beyond the 10th, so Step 9 and 10 become obsolete.