1 Billion Puzzles vs 1 of Every Pokemon
Puzzles solved: 38
First of all, we know that Alakazam has 5000 IQ. So Alakazam can definitely big brain a lot of puzzles. Then we know that both Celebi and Dialga can time travel, so they can just travel forward in time to when solutions are released and bring the answers to the present. Finally, a Speed Forme Deoxys plus a Machamp should be abe to move fast enough to type all the answers into the answer checker. The Pokemon should win this easily.