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

197 Solutions
101 Solvers

Last Solution submitted on Sep 12, 2020

Last 200 Solutions

Problem Comments

Problem Recent Solvers101

Problem Tags

Problem 2340. Numbers spiral diagonals (Part 1)

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers101

Suggested Problems

More from this Author43

Problem Tags

Problem 2340. Numbers spiral diagonals (Part 1)

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers101

Suggested Problems

More from this Author43

Problem Tags

Players