I was having some trouble to get the impossible badge. Then I realized that we could make the base bigger by using the long piece near the corner in the beginning of the game, placing them with two squares out of the base and two squares on it (without pressing down button because it makes the piece instable). After that, I placed quickly another piece over the two squares that were on the base to hold the piece (if you don't place anything fast it will fall). I did it on both sides just once, gaining 4 more squares to use to place pieces. After that, if you intercalete the pieces, it will be far less dificult (indeed, it was easier for me to get the impossible badge than the difficult). Sorry for the bad english, hope it will help.
 "99 Bricks"){kind=icon}