Problem 43179. Red and green towers

Created by Giovanni Mottola

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":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/image","targetMode":"","relationshipId":"rId1","target":"/media/image1.png"}],"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>Frankie has a large number of wooden cubes, painted in red and green. He is building little towers with his cubes, by stacking them on top of each other.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>He got bored after a while, so he introduced a rule: two red cubes may not be touching (see image).</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:customXml w:element=\"image\"><w:customXmlPr><w:attr w:name=\"height\" w:val=\"-1\"/><w:attr w:name=\"width\" w:val=\"-1\"/><w:attr w:name=\"relationshipId\" w:val=\"rId1\"/></w:customXmlPr></w:customXml></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Given</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:i/></w:rPr><w:t>n</w:t></w:r><w:r><w:t> (the maximum number of cubes in a tower), determine the number</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:i/></w:rPr><w:t>m</w:t></w:r><w:r><w:t> of different towers that Frankie can build.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Example: for</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:i/></w:rPr><w:t>n</w:t></w:r><w:r><w:t> = 2, he can make 5 towers, so</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:i/></w:rPr><w:t>m</w:t></w:r><w:r><w:t>=5:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"ListParagraph\"/><w:numPr><w:numId w:val=\"2\"/></w:numPr></w:pPr><w:r><w:t>[Red];</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"ListParagraph\"/><w:numPr><w:numId w:val=\"2\"/></w:numPr></w:pPr><w:r><w:t>[Green];</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"ListParagraph\"/><w:numPr><w:numId w:val=\"2\"/></w:numPr></w:pPr><w:r><w:t>[Red, Green];</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"ListParagraph\"/><w:numPr><w:numId w:val=\"2\"/></w:numPr></w:pPr><w:r><w:t>[Green, Red];</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"ListParagraph\"/><w:numPr><w:numId w:val=\"2\"/></w:numPr></w:pPr><w:r><w:t>[Green, Green].</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>You may assume that the input is an integer greater than zero.</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>"},{"partUri":"/media/image1.png","contentType":"image/png","content":"data:image/png;base64,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"}]}

Solve

Solution Stats

23 Solutions
14 Solvers

Last Solution submitted on Jan 08, 2021

Last 200 Solutions

Problem Comments

Solution Comments

Solution 1547452

2 Comments

2 Comments

bainhome on 3 Jun 2018

@Binbin, in this problem, I reallize that we can see pretty much every possible way that can describing this particular seq. lol

bainhome on 3 Jun 2018

apparently, each one of us have our own way pray to lord for giving us this glory shining sequence. lol

Solution 1541480

1 Comment

1 Comment

J. S. Kowontan on 27 May 2018

Interesting....

Problem Recent Solvers14

Problem Tags

arithmetic number theory

Community Treasure Hunt

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

Start Hunting!