Problem 2340. Numbers spiral diagonals (Part 1)

Created by Jean-Marie Sainthillier

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>Inspired by Project Euler n°28 et 58.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>A n x n spiral matrix is obtained by starting with the number 1 and moving to the right in a clockwise direction.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>For exemple with n=5, the spiral matrix is :</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[                       21 22 23 24 25\n                       20  7  8  9 10\n                       19  6  1  2 11\n                       18  5  4  3 12\n                       17 16 15 14 13]]></w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>In this example, the sum of the numbers on the diagonals is 101.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>What is the sum of the numbers on the diagonals in any n by n spiral (n always odd) ?</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>HINTS: You want the diagonals, not the whole matrix.</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

285 Solutions
120 Solvers

Last Solution submitted on Oct 27, 2021

Last 200 Solutions

Problem Comments

Problem Recent Solvers120

Problem Tags

Community Treasure Hunt

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

Start Hunting!

Problem 2340. Numbers spiral diagonals (Part 1)

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers120

Suggested Problems

More from this Author43

Problem Tags

Community Treasure Hunt

Problem 2340. Numbers spiral diagonals (Part 1)

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers120

Suggested Problems

More from this Author43

Problem Tags

Community Treasure Hunt

Players