Problem 42816. Sorting integers by their digits (Level 4)

Created by HH

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>This is the next step up from</w:t></w:r><w:r><w:t> </w:t></w:r><w:hyperlink w:docLocation=\"http://www.mathworks.com/matlabcentral/cody/problems/42815-sorting-integers-by-their-digits-level-3\"><w:r><w:t>Problem 42815</w:t></w:r></w:hyperlink><w:r><w:t>.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Given a vector, v, of complex numbers (negative or positive), return a vector, w, by sorting v in ascending order, such that primary sorting is done by the first digit (representing the largest value), secondary sorting by the second digit (next largest value), and so on.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Once all real digits have been used for sorting, it should continue with the imaginary part, which are further down the order.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Example:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>v = [14.38 210+69i 80.42 3.14 0-15i 268 -14.38 210+64i 0+15i 1 80.44];</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>w = [0-15i 0+15i 1 -14.38 14.38 210+64i 210+69i 268 3.14 80.42 80.44];</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>As shown above, in cases of multiple numbers starting with the same digits, such as 1 and 14.38, shorter numbers take precedence.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Negative numbers take precedence over positive numbers.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Imaginary numbers should be treated as if they had a leading zero, because they have a zero real part.</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>"}]}

This is the next step up from <a href = "http://www.mathworks.com/matlabcentral/cody/problems/42815-sorting-integers-by-their-digits-level-3">Problem 42815</a>.Given a vector, v, of complex numbers (negative or positive), return a vector, w, by sorting v in ascending order, such that primary sorting is done by the first digit (representing the largest value), secondary sorting by the second digit (next largest value), and so on.Once all real digits have been used for sorting, it should continue with the imaginary part, which are further down the order.Example:v = [14.38 210+69i 80.42 3.14 0-15i 268 -14.38 210+64i 0+15i 1 80.44];w = [0-15i 0+15i 1 -14.38 14.38 210+64i 210+69i 268 3.14 80.42 80.44];As shown above, in cases of multiple numbers starting with the same digits, such as 1 and 14.38, shorter numbers take precedence.Negative numbers take precedence over positive numbers.Imaginary numbers should be treated as if they had a leading zero, because they have a zero real part.

Solve

Solution Stats

162 Solutions
35 Solvers

Last Solution submitted on May 18, 2022

Last 200 Solutions

Problem Comments

3 Comments

3 Comments

Peng Liu on 22 Apr 2016

An interesting series of sorting problems, ranging from integer to floating point numbers, and from real-valued to complex numbers.

bainhome on 31 May 2018

This sort series problem are interesting and also challeging, and for solving this series, regular expression, string, data index and function, etc. all kinds of skill are required. learned a lot, thx!

J. S. Kowontan on 31 May 2018

@Bainhome Absolutely agree!...A very interesting series for both the aficionados and virtuoso. Sure we all had fun. :) Thanks HH.

Solution Comments

Solution 1542816

1 Comment

1 Comment

bainhome on 11 Jun 2018

recently looked back this problem, and studied every code that worth to studied. All code (except mine) are excellent and mind blower, but I enjoyed this one and Liu Peng's the most. Liu's code are more "numericalized", and better fit the idea about "index" title; this one is bit of instructive: definitely enrich my knowledge about "replace" action in regular expression. I'll take a very serious note about this two ideas. THX buddy.

Problem Recent Solvers35

Problem Tags

Community Treasure Hunt

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

Start Hunting!

Problem 42816. Sorting integers by their digits (Level 4)

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers35

Suggested Problems

More from this Author38

Problem Tags

Community Treasure Hunt

Problem 42816. Sorting integers by their digits (Level 4)

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers35

Suggested Problems

More from this Author38

Problem Tags

Community Treasure Hunt

Players