Subject Computer Science Data Structures and Algorithms

Question

1. Why computing Fibonacci number is a dynamic programming problem?
Its definition is:
Fn = Fn-1 + Fn-2,
F0 = F1 = 1

2. Please write a pseudo code for it using dynamic programming algorithm.

Solution Preview

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1.
Computing Fibonacci numbers belongs to DP class of problems because it exhibits the two characteristics of DP:
• Overlapping sub-problems – so the sub-problems are not independent, because, for instance Fib[5] depends on the results of previous sub-problems (Fib[3] and Fib[4]);...

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