in his lab
With the stone things that protect hogwarts
When you defeat Red, Prof. Oak will give you one of the starter Pokemon from the Kanto Region. Your choices would be Squirtle, Charmander, or Bulbasaur.
Never mind, scratch that, you need to go to palet (spelling, maybe wrong) town, and go into his lab.
Battle 2, Layton Vs Dimitri.Battle 3 Layton Vs Dimitri.Please see the related links below for a walkthrough of the puzzle.