In the lecture we discussed polynomial time algorithms for computing Fibonacci number Fn. Note th they require storing all previous Fibonacci numbers. Come up with an algorithm that still works in pol nomial time, but does not store an array, the size of which depends on n. (Hint: recall bottom-up impl mentation for Fibonacci numbers from the lecture. Which previous numbers do we actually need to sto to compute each next Fibonacci number?)

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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In the lecture we discussed polynomial time algorithms for computing Fibonacci number Fn. Note that
they require storing all previous Fibonacci numbers. Come up with an algorithm that still works in poly-
nomial time, but does not store an array, the size of which depends on n. (Hint: recall bottom-up imple-
mentation for Fibonacci numbers from the lecture. Which previous numbers do we actually need to store
to compute each next Fibonacci number?)
Transcribed Image Text:In the lecture we discussed polynomial time algorithms for computing Fibonacci number Fn. Note that they require storing all previous Fibonacci numbers. Come up with an algorithm that still works in poly- nomial time, but does not store an array, the size of which depends on n. (Hint: recall bottom-up imple- mentation for Fibonacci numbers from the lecture. Which previous numbers do we actually need to store to compute each next Fibonacci number?)
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