Problem 44310. Digit concentration in Champernowne's constant

Created by Mehmet OZC

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>Consider the first 50 digits of Champernowne's constant</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[    0.12345678910111213141516171819202122232425262728293...]]></w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>There are two zeros (do not count the left side of \".\" (integer part) ) in this series. So the digit concentration for 0 for the first 50 digits is = 2 / 50 = 0.04.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Also the number of '2' (x) digit is counted as 13. So the digit concentration of number '2' for the first 50 (d) digit is = 13/50 = 0.26</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Calculate the digit concentration of number x for the first d digit of constant.</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

367 Solutions
117 Solvers

Last Solution submitted on Oct 19, 2022

Last 200 Solutions

Problem Comments

1 Comment

1 Comment

Anselm Karl on 6 Nov 2017

That was quite a Piece of work!!

Solution Comments

Solution 1299510

2 Comments

2 Comments

Alfonso Nieto-Castanon on 25 Oct 2017

would fail on d=10; x=1; y_correct=0.2

Mehmet OZC on 25 Oct 2017

I have improved the test suite

Problem Recent Solvers117

Problem Tags

Community Treasure Hunt

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

Start Hunting!

Problem 44310. Digit concentration in Champernowne's constant

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers117

Suggested Problems

More from this Author92

Problem Tags

Community Treasure Hunt

Problem 44310. Digit concentration in Champernowne's constant

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers117

Suggested Problems

More from this Author92

Problem Tags

Community Treasure Hunt

Players