Problem

Give a positive integer n, find its Zeckendorf representation (defined in the preamble to...

Give a positive integer n, find its Zeckendorf representation (defined in the preamble to Exercise).

Exercise

The Zeckendorf representation of a positive integer is the unique expression of this integer as the sum of distinct Fibonacci numbers, where no two of these Fibonacci numbers are consecutive terms in the Fibonacci sequence and where the term f1 = 1 is not used (but the term f2 = 1 may be used).

Find the Zeckendorf representation of each of the integers 50, 85, 110, and 200.

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