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

413 Solutions
169 Solvers

Last Solution submitted on Aug 04, 2020

Last 200 Solutions

Problem Comments

Problem Recent Solvers169

Problem Tags

fibonacci

Problem 42340. Fibonacci Decomposition

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers169

Suggested Problems

More from this Author49

Problem Tags

Problem 42340. Fibonacci Decomposition

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers169

Suggested Problems

More from this Author49

Problem Tags

Players