Gold Diamond Platinum

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Our chef has been assigned a task to make a necklace of length **N**, from gold, diamond and platinum.There is **single** kind of gold, **two** types of diamond and **three** types of platinum available. A necklace can be represented as strings of the form $ (G)*(D1|D2)*(P1|P2|P3)* $ where **(x|y)** means we can use x or y and $ * $ means we can repeat the previous parenthesized expression **0 or

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solution.cppC++17

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