A warning. This one glitched for me. I did this game in two runs, one on normal (while using no hints) and one on Expert. I did the expert run in one sitting and the trophy did not pop in the end. Perhaps this was because I skipped a few puzzles. Or perhaps this was because I did the first run on normal. No idea.
So if you do this in two runs I can reccommend that you delete your save file before starting Expert mode and that you skip no puzzles.