Problem 42340. Fibonacci Decomposition

Every positive integer has a unique decomposition into nonconsecutive Fibonacci numbers f1+f2+ ... Given a positive integer n, return these numbers.

Return the vector f = [f1, f2, ...] sorted from smallest to largest. sum(f) = n.

Examples

 n = 3
 f = 3
 n = 32
 f = [3 8 21]

Reference: http://www.johndcook.com/blog/2015/05/17/fibonacci-number-system/

Solve

Solution Stats

45.69% Correct | 54.31% Incorrect
Last Solution submitted on Oct 15, 2025

Problem Comments

Solution Comments

Show comments

Problem Recent Solvers781

Suggested Problems

More from this Author50

Problem Tags

fibonacci

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!