project euler: problem 14, longest collatz sequence -凯发k8网页登录

created by riam su

{"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>the following iterative sequence is defined for the set of positive integers:</w:t></w:r></w:p><w:p><w:ppr><w:pstyle w:val=\"text\"/></w:ppr><w:r><w:t>n → n/2 (n is even) n → 3n   1 (n is odd)</w:t></w:r></w:p><w:p><w:ppr><w:pstyle w:val=\"text\"/></w:ppr><w:r><w:t>using the rule above and starting with 13, we generate the following sequence:</w:t></w:r></w:p><w:p><w:ppr><w:pstyle w:val=\"text\"/></w:ppr><w:r><w:t>13 → 40 → 20 → 10 → 5 → 16 → 8 → 4 → 2 → 1 it can be seen that this sequence (starting at 13 and finishing at 1) contains 10 terms. although it has not been proved yet (collatz problem), it is thought that all starting numbers finish at 1.</w:t></w:r></w:p><w:p><w:ppr><w:pstyle w:val=\"text\"/></w:ppr><w:r><w:t>which starting number, under</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rpr><w:i/></w:rpr><w:t>n</w:t></w:r><w:r><w:t>, produces the longest chain?</w:t></w:r></w:p><w:p><w:ppr><w:pstyle w:val=\"text\"/></w:ppr><w:r><w:t>note: once the chain starts the terms are allowed to go above</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rpr><w:i/></w:rpr><w:t>n</w:t></w:r><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>"}]}

solution stats

last submitted on may 30, 2023

last 200 solutions

problem comments

1 comment

1 comment

jean-marie sainthillier on 14 sep 2016

see my problem 42673: longest collatz sequence

solution comments

problem recent solvers

problem tags

community treasure hunt

find the treasures in matlab central and discover how the community can help you!

start hunting!

project euler: problem 14, longest collatz sequence -凯发k8网页登录

solution stats

last 200 solutions

problem comments

solution comments

problem recent solvers

suggested problems

more from this author

problem tags

community treasure hunt

project euler: problem 14, longest collatz sequence -凯发k8网页登录

solution stats

last 200 solutions

problem comments

solution comments

problem recent solvers

suggested problems

more from this author

problem tags

community treasure hunt

players

wechat