Luminous Jewels - The Polishing Game, C/C++ Programming

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1. Jewels can only be removed for polishing from either end of the necklace (i.e. head or tail)
2. Once a jewel type is removed from the necklace, all other instances of the same jewel type is treated as polished by the person who removed the jewel
3. For purpose of this problem, we have represented the necklace as a string and each character of the string is a Luminous Jewel

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