Problem 45782. Upstairs!

Created by Binbin Qi

Solve Later

{"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","relationshipId":"rId1","target":"/matlab/document.xml"},{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/output","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\"?><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>The stair has n steps. Every times you can up one or two steps. Give all the different solutions to upstairs.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>For example n = 4.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>sols = {[1,1,1,1],[1,1,2],[1,2,1],[2,2]}</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>n = 5</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>sols = {[1,1,1,1,1],[1,1,1,1,2],[1,1,2,1],[1,2,1,1],[1,2,2],[2,1,1,1],[2,1,2],[2,2,1]}</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>Have fun!</w:t></w:r></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

30 Solutions
5 Solvers

Last Solution submitted on Nov 22, 2022

Last 200 Solutions

Problem Comments

Solution Comments

Solution 9812433

1 Comment

1 Comment

Christian Schröder on 22 Nov 2022

I'm REALLY surprised that this worked --- given that there's two recursive calls you'd expect it to fail when n is even moderately large.

Problem Recent Solvers5

Problem Tags

Community Treasure Hunt

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

Start Hunting!

Problem 45782. Upstairs!

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers5

Suggested Problems

More from this Author17

Problem Tags

Community Treasure Hunt

Problem 45782. Upstairs!

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers5

Suggested Problems

More from this Author17

Problem Tags

Community Treasure Hunt

Players