Problem 42340. Fibonacci Decomposition

Created by Ned Gulley

Solve Later

{"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","targetMode":"","relationshipId":"rId1","target":"/matlab/document.xml"},{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/output","targetMode":"","relationshipId":"rId2","target":"/matlab/output.xml"}],"parts":[{"partUri":"/matlab/document.xml","relationship":[],"contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?>\n<w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Every positive integer has a unique decomposition into nonconsecutive Fibonacci numbers f1+f2+ ... Given a positive integer n, return these numbers.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Return the vector f = [f1, f2, ...] sorted from smallest to largest. sum(f) = n.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Examples</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[ n = 3\n f = 3\n\n n = 32\n f = [3 8 21]]]></w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Reference:</w:t></w:r><w:r><w:t> </w:t></w:r><w:hyperlink w:docLocation=\"http://www.johndcook.com/blog/2015/05/17/fibonacci-number-system/\"><w:r><w:t>http://www.johndcook.com/blog/2015/05/17/fibonacci-number-system/</w:t></w:r></w:hyperlink></w:p></w:body></w:document>"},{"partUri":"/matlab/output.xml","contentType":"text/xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\" ?><embeddedOutputs><metaData><evaluationState>manual</evaluationState><layoutState>code</layoutState><outputStatus>ready</outputStatus></metaData><outputArray type=\"array\"/><regionArray type=\"array\"/></embeddedOutputs>"}]}

Solve

Solution Stats

461 Solutions
181 Solvers

Last Solution submitted on Sep 29, 2020

Last 200 Solutions

Problem Comments

Problem Recent Solvers181

Problem Tags

fibonacci

Problem 42340. Fibonacci Decomposition

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers181

Suggested Problems

More from this Author50

Problem Tags

Problem 42340. Fibonacci Decomposition

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers181

Suggested Problems

More from this Author50

Problem Tags

Players