Tökmagok Kincsvadászat

Four kids (known from a popular Hungarian kids' book series) are diving in the sea. Above their heads the pirates' treasure chest fell into the water and they are trying to catch the treasures. However, currents of the sea move these jewellery around. This game of logic is played in four rounds, each round consisting of four turns. In each turn a wave tile is revealed and treasures move in the given direction. In every 3rd and 4th turn of each round kids can catch the treasures, however the number of moves they can do in a round is limited. The way treasures move are more and more calculable in subsequent rounds so what feels rather random in the first round becomes perfectly calculable in the last round. Can you collect the most treasure? Or, in the advanced game, can you collect the most valuable sets?