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The sequence F1, F2, F1 of Fibonacci trees is recursively defined as follows: F2 Fi (i > 3) A Fi-2 Fi-1 The first 6 Fibonacci

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The sequence F1, F2, F1 of Fibonacci trees is recursively defined as follows: F2 Fi (i > 3) A Fi-2 Fi-1 The first 6 Fibonacci trees are provided below: F1 F2 F3 F4 F5 F6 Prove that after adding NIL nodes each Fi(i > 1) can be colored red and black according to the RB tree properties. Give clarifying examples

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