Problem 1825. Find all vampire fangs

Created by Andrew Newell

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>A</w:t></w:r><w:r><w:t> </w:t></w:r><w:hyperlink w:docLocation=\"http://en.wikipedia.org/wiki/Vampire_number\"><w:r><w:t>vampire number</w:t></w:r></w:hyperlink><w:r><w:t> is a number v that is the product of two numbers x and y such that the following conditions are satisfied:</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>at most one of x and y are divisible by 10;</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>x and y have the same number of digits; and</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>The digits in v consist of the digits of x and y (including anyrepetitions).</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>If these conditions are met, x and y are known as \"fangs\" of v. For example, 1260 is a vampire number because 1260 = 21*60, so 21 and 60 are the fangs.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Write a function that returns all the pairs of fangs for a given number. The output is a matrix in which each row is a pair; the values in the first row should be in increasing order. If it is not a vampire number, it will return empty arrays.</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=\"code\"/></w:pPr><w:r><w:t><![CDATA[disp(vampire_factor(125460))\n\n 204 615\n 246 510]]></w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>See also: </w:t></w:r><w:r><w:t> </w:t></w:r><w:hyperlink w:docLocation=\"http://www.mathworks.com/matlabcentral/cody/problems/1804-fangs-of-a-vampire-number\"><w:r><w:t>Problem 1804. Fangs of a vampire number</w:t></w:r></w:hyperlink><w:r><w:t> and and</w:t></w:r><w:r><w:t> </w:t></w:r><w:hyperlink w:docLocation=\"http://www.mathworks.com/matlabcentral/cody/problems/1826-find-vampire-numbers\"><w:r><w:t>1826. Find vampire numbers</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>"}]}

A <a href = "http://en.wikipedia.org/wiki/Vampire_number">vampire number</a> is a
number v that is the product of two numbers x and y such that the
following conditions are satisfied:<ol><li>at most one of x and y are divisible by 10;</li><li>x and y have the same number of digits; and</li><li>The digits in v consist of the digits of x and y (including any
repetitions).</li></ol>If these conditions are met, x and y are known as "fangs" of v. For
example, 1260 is a vampire number because 1260 = 21*60, so 21 and 60 are
the fangs.Write a function that returns all the pairs of fangs for a given number.
The output is a matrix in which each row is a pair; the values in the
first row should be in increasing order. If it is not a vampire number,
it will return empty arrays.Example:<pre class="language-matlab">disp(vampire_factor(125460))
</pre><pre> 204 615
 246 510</pre>See also:
 <a href = "http://www.mathworks.com/matlabcentral/cody/problems/1804-fangs-of-a-vampire-number">Problem 1804. Fangs of a vampire number</a> and and <a href = "http://www.mathworks.com/matlabcentral/cody/problems/1826-find-vampire-numbers">1826. Find vampire numbers</a>.

Solve

Solution Stats

138 Solutions
46 Solvers

Last Solution submitted on May 01, 2021

Last 200 Solutions

Problem Comments

Solution Comments

Solution 2786017

1 Comment

1 Comment

Nadee Seneviratne on 5 Aug 2020

Interesting problem :D

Problem Recent Solvers46

Problem Tags

factors number theory

Community Treasure Hunt

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

Start Hunting!

Problem 1825. Find all vampire fangs

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers46

Suggested Problems

More from this Author9

Problem Tags

Community Treasure Hunt

Problem 1825. Find all vampire fangs

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers46

Suggested Problems

More from this Author9

Problem Tags

Community Treasure Hunt

Players