Web Reference: When I first did this problem I did not have my ultra fast Fibonacci number generator, so I will explain how to do it with the regular Fibonacci number generator. What is the index of the first term in the Fibonacci sequence to contain 1000 digits? Python's unbounded ints again make this trivial — but we can make it even easier! implies that F n very quickly converges to 1 5 φ n, where φ = 1 + 5 2. We thus need to find the smallest n such that 1 5 φ n ≥ 10 999. Apr 4, 2017 · What is the index of the first term in the Fibonacci sequence to contain 1000 digits? I precompute all Fibonacci number with up to 5000 digits (a design decision influenced by Hackerrank's modified problem) and keep those results in cache. Unfortunately, there is a small problem with C++ ...
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