A lapidary breaks a stone into three pieces. The weight of the first piece is thrice that of the second piece and the weight of the third piece is twice that of the second piece. If the initial weight of the stone was 18 grams. What is the weight of the heaviest piece?

1
10 grams
2
9 grams
3
12 grams
4
15 grams
5
14 grams

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