Problem 1649. Magic - Faro Shuffle

Created by Richard Zapor

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>The Faro shuffle is the perfect interweaving of cards. Quiz: How many Faro's returns a standard 52 deck to its start? Fifty four cards require 52 shuffles while 64 cards requires only 6 shuffles.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>This challenge is to return the vectors of shuffle results until the original sequence is re-created.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:rPr><w:b/></w:rPr><w:t>Input:</w:t></w:r><w:r><w:t> N (number of cards-even; start sequence 1:N)</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:rPr><w:b/></w:rPr><w:t>Output:</w:t></w:r><w:r><w:t> deck (Array of cards created by the Faro shuffles)</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Example: N=4, deck= [1 3 2 4;1 2 3 4]</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>N=8, deck=[1 5 2 6 3 7 4 8;1 3 5 7 2 4 6 8;1 2 3 4 5 6 7 8 ]</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:rPr><w:b/></w:rPr><w:t>Code Exclusions:</w:t></w:r><w:r><w:t> regexp, str2num (enforced if necessary)</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

134 Solutions
11 Solvers

Last Solution submitted on Oct 13, 2020

Last 200 Solutions

Problem Comments

Problem Recent Solvers11

Problem Tags

Community Treasure Hunt

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

Start Hunting!

Problem 1649. Magic - Faro Shuffle

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers11

Suggested Problems

More from this Author246

Problem Tags

Community Treasure Hunt

Problem 1649. Magic - Faro Shuffle

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers11

Suggested Problems

More from this Author246

Problem Tags

Community Treasure Hunt

Players