Problem 43649. 4 Digit Sequence Repetitions

Created by JD

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>Given a 4 digit integer, a sequence can be created such that the next digit in the sequence is the ones digit from the sum of the four immediately preceding digits.</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, the first four terms of our infinite sequence of decimal digits are 2, 0, 0, 9. Thus our sequence begins:</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>2, 0, 0, 9, 1, 0, 0, 0, 1, 1, 2, 4, 8, 5, 9, 6, 8, 8, 1, 3, 0, 2, 6, 1, 9, 8, 4, 2, 3, 7, ...</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>Given a seed sequence and another 4 digit test pattern, determine the index for the test pattern following the seed sequence, if it exists. Return the index of the first occurrence of the test pattern. If the pattern does not appear, return 0.</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, in the above sequence, [2 0 0 9] is the seed sequence and if [1 0 0 0] is the test sequence, it has index 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>Taken from L-S Hahn's New Year's Puzzle for 2009</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

24 Solutions
19 Solvers

Last Solution submitted on May 13, 2022

Last 200 Solutions

Problem Comments

Problem Recent Solvers19

Problem Tags

Community Treasure Hunt

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

Start Hunting!

Problem 43649. 4 Digit Sequence Repetitions

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers19

Suggested Problems

More from this Author11

Problem Tags

Community Treasure Hunt

Problem 43649. 4 Digit Sequence Repetitions

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers19

Suggested Problems

More from this Author11

Problem Tags

Community Treasure Hunt

Players

WeChat