Problem 3 -- It Boggles the Mind

Professor Plum loves to play games. For his birthday, he received the game Boggle as a present. The game is played using a 4x4 grid of lettered dice. All of dice faces contain single letters except for “Qu.” In the first phase of the game, players have three minutes to find words of length 3 or longer in sequences of adjacent letters which can be horizontally, vertically, and diagonally neighb