Problem 1804. Fangs of a vampire number

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 is 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 any repetitions).</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 determines whether two numbers are fangs of a vampire number.</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/1825-find-all-vampire-fangs\"><w:r><w:t>1825. Find all vampire fangs</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=\"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>"}]}

Solve

Solution Stats

282 Solutions
71 Solvers

Last Solution submitted on Sep 05, 2021

Last 200 Solutions

Problem Comments

4 Comments

4 Comments

Show 1 older comment

Andrew Newell on 14 Aug 2013

Sorry for all the false positives. I have added more test cases.

Evan on 14 Aug 2013

It turns out that the difference in meaning between "not both" and "both not" is critical to this problem. Do'h! Took me a while to figure out where I was going wrong. :P

Jean-Marie Sainthillier on 15 Aug 2013

Exactly what I like in Cody. Interesting and modular problem, with good explanations.
What else ?

Andrew Newell on 15 Aug 2013

Thank you, Jean-Marie! If I have time, I might extend the problem even further.

Solution Comments

Solution 304203

1 Comment

1 Comment

Tim on 14 Aug 2013

Oops--does not check all conditions--should not have passed.

Solution 304159

1 Comment

1 Comment

Paul Berglund on 14 Aug 2013

I now see that this is not a valid solution..it has false positives but still passes the test suite :-(

Problem Recent Solvers71

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 1804. Fangs of a vampire number

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers71

Suggested Problems

More from this Author9

Problem Tags

Community Treasure Hunt

Problem 1804. Fangs of a vampire number

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers71

Suggested Problems

More from this Author9

Problem Tags

Community Treasure Hunt

Players