Problem 1288. Balanced Ternary Numbers: Easy as |, |-, |o

Created by Ned Gulley

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 problem concerns the so-called</w:t></w:r><w:r><w:t> </w:t></w:r><w:hyperlink w:docLocation=\"http://en.wikipedia.org/wiki/Balanced_ternary\"><w:r><w:t>balanced ternary</w:t></w:r></w:hyperlink><w:r><w:t> system for representing numbers. It is a Base 3 system in which the digits can be 1, 0, or -1.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>In balanced ternary, the number 8 would be represented as 9 (or 3^2) minus 1 (or 3^0). Typographically we will use \"|\" for one, \"o\" for zero (that's a lower-case O), and \"-\" for negative one. So if the decimal input d is the number 8, the balanced ternary output is the string \"|o-\". Thus</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[ dec 8  => bt \"|o-\"]]></w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Here are some more examples.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[ dec 3  => bt \"|o\"\n dec 15 => bt \"|--o\"\n dec 52 => bt \"|-o-|\"]]></w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Given an integer d, return the string bt. Leading zeros should always be suppressed.</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

108 Solutions
35 Solvers

Last Solution submitted on Jun 15, 2020

Last 200 Solutions

Problem Comments

Problem Recent Solvers35

Problem Tags

Problem 1288. Balanced Ternary Numbers: Easy as |, |-, |o

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers35

Suggested Problems

More from this Author50

Problem Tags

Problem 1288. Balanced Ternary Numbers: Easy as |, |-, |o

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers35

Suggested Problems

More from this Author50

Problem Tags

Players