Problem 3011. Self-similarity 2 - Every third term

Created by goc3

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>Self-similar integer sequences are certain sequences that can be reproduced by extracting a portion of the existing sequence. See the</w:t></w:r><w:r><w:t> </w:t></w:r><w:hyperlink w:docLocation=\"https://oeis.org/selfsimilar.html\"><w:r><w:t>OEIS page</w:t></w:r></w:hyperlink><w:r><w:t> for more information.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>In this problem, you are to check if the sequence is self-similar by every third term. The problem set assumes that you start with the first element and then take every third element thereafter of the original sequence, and compare that result to the first third of the original sequence. The function should return true if the extracted sequence is equal to the first third of the original sequence.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>For example,</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"ListParagraph\"/><w:numPr><w:numId w:val=\"1\"/></w:numPr></w:pPr><w:r><w:t>seq_original_set = [0, 1, 2, 1, 2, 3, 2, 3, 2, 1, 2, 3, 2, 3, 4]</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"ListParagraph\"/><w:numPr><w:numId w:val=\"1\"/></w:numPr></w:pPr><w:r><w:t>seq_every_third = [0, , , 1, , , 2, , , 1, , , 2, , ,] (extra commas are instructional and should not be in the every-other series)</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"ListParagraph\"/><w:numPr><w:numId w:val=\"1\"/></w:numPr></w:pPr><w:r><w:t>seq_orig_first_third = [0, 1, 2, 1, 2]</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Since seq_every_third = seq_orig_first_third, the set is self-similar.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>This problem is related to</w:t></w:r><w:r><w:t> </w:t></w:r><w:hyperlink w:docLocation=\"https://www.mathworks.com/matlabcentral/cody/problems/3010-self-similarity-1-every-other-term\"><w:r><w:t>Problem 3010</w:t></w:r></w:hyperlink><w:r><w:t> and</w:t></w:r><w:r><w:t> </w:t></w:r><w:hyperlink w:docLocation=\"https://www.mathworks.com/matlabcentral/cody/problems/3012-self-similarity-3-every-other-pair-of-terms\"><w:r><w:t>Problem 3012</w:t></w:r></w:hyperlink><w:r><w:t>.</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>"}]}

Self-similar integer sequences are certain sequences that can be reproduced by extracting a portion of the existing sequence. See the <a href = "https://oeis.org/selfsimilar.html">OEIS page</a> for more information.In this problem, you are to check if the sequence is self-similar by every third term. The problem set assumes that you start with the first element and then take every third element thereafter of the original sequence, and compare that result to the first third of the original sequence. The function should return true if the extracted sequence is equal to the first third of the original sequence.For example,<ul><li>seq_original_set = [0, 1, 2, 1, 2, 3, 2, 3, 2, 1, 2, 3, 2, 3, 4]</li><li>seq_every_third = [0, , , 1, , , 2, , , 1, , , 2, , ,] (extra commas are instructional and should not be in the every-other series)</li><li>seq_orig_first_third = [0, 1, 2, 1, 2]</li></ul>Since seq_every_third = seq_orig_first_third, the set is self-similar.This problem is related to <a href = "https://www.mathworks.com/matlabcentral/cody/problems/3010-self-similarity-1-every-other-term">Problem 3010</a> and <a href = "https://www.mathworks.com/matlabcentral/cody/problems/3012-self-similarity-3-every-other-pair-of-terms">Problem 3012</a>.

Self-similar integer sequences are certain sequences that can be reproduced by extracting a portion of the existing sequence. See the <https://oeis.org/selfsimilar.html OEIS page> for more information.

In this problem, you are to check if the sequence is self-similar by every third term. The problem set assumes that you start with the first element and then take every third element thereafter of the original sequence, and compare that result to the first third of the original sequence. The function should return true if the extracted sequence is equal to the first third of the original sequence.

For example,

* seq_original_set = [0, 1, 2, 1, 2, 3, 2, 3, 2, 1, 2, 3, 2, 3, 4]
* seq_every_third = [0, , , 1, , , 2, , , 1, , , 2, , ,] (extra commas are instructional and should not be in the every-other series) 
* seq_orig_first_third = [0, 1, 2, 1, 2]

Since seq_every_third = seq_orig_first_third, the set is self-similar.

This problem is related to <https://www.mathworks.com/matlabcentral/cody/problems/3010-self-similarity-1-every-other-term Problem 3010> and <https://www.mathworks.com/matlabcentral/cody/problems/3012-self-similarity-3-every-other-pair-of-terms Problem 3012>.

Solve

Solution Stats

78 Solutions
46 Solvers

Last Solution submitted on Apr 08, 2023

Last 200 Solutions

Solution Comments

Show comments

Problem Recent Solvers46

Problem Tags

Community Treasure Hunt

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

Start Hunting!

Problem 3011. Self-similarity 2 - Every third term

Solution Stats

Last 200 Solutions

Solution Comments

Problem Recent Solvers46

Suggested Problems

More from this Author139

Problem Tags

Community Treasure Hunt

Problem 3011. Self-similarity 2 - Every third term

Solution Stats

Last 200 Solutions

Solution Comments

Problem Recent Solvers46

Suggested Problems

More from this Author139

Problem Tags

Community Treasure Hunt

Players