Problem 44714. The Generalized-N Eggs Problem

Created by J. S. Kowontan

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 firm has invented a super-strong egg. For publicity purposes, it wants to determine the highest floor in a story building with</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:i/></w:rPr><w:t>N_f</w:t></w:r><w:r><w:t> floors from which such an egg can fall without breaking. The firm has given a tester</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> identical eggs to experiment with. The same egg can be dropped multiple times unless it breaks.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>What is the minimum number of droppings</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:i/></w:rPr><w:t>d</w:t></w:r><w:r><w:t> that is guaranteed to determine the highest safe floor in all cases for a given number of floors</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:i/></w:rPr><w:t>N_f</w:t></w:r><w:r><w:t>, and eggs</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:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:rPr><w:b/></w:rPr><w:t>APPLICATION:</w:t></w:r><w:r><w:t> This problem has many applications in the real world such as avoiding a call out to the slow HDD, or attempting to minimize cache misses, or running a large number of expensive queries on a database.</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

19 Solutions
3 Solvers

Last Solution submitted on Jun 15, 2021

Last 200 Solutions

Problem Comments

Problem Recent Solvers3

Problem Tags

eggs dropping generalized

Community Treasure Hunt

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

Start Hunting!

Problem 44714. The Generalized-N Eggs Problem

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers3

Suggested Problems

More from this Author18

Problem Tags

Community Treasure Hunt

Problem 44714. The Generalized-N Eggs Problem

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers3

Suggested Problems

More from this Author18

Problem Tags

Community Treasure Hunt

Players