Richard Feynamnn the Nobel prize-winning physicist had a great reason for solving old problems - it builds your confindence and your experience and then one day you find an interesting problem and solve it and discover that no one else had managed it before. There might not be a practical use for a seond solution, but there is a lot to be learned from getting there which cannot be gained from simply studying an existing solution. The point is the journey, not the destination ;)
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