Problem 1934. GJam 2014 China Rd B: Sudoku Checker

Created by Richard Zapor

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{"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>This Challenge is derived from</w:t></w:r><w:r><w:t> </w:t></w:r><w:hyperlink w:docLocation=\"http://code.google.com/codejam/contest/2929486/dashboard#s=p0\"><w:r><w:t>GJam 2014 China Sudoku</w:t></w:r></w:hyperlink><w:r><w:t>. Large Case.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>The Goal is determine if the Sudoku square is valid. Each row and column must contain 1:N, for an NxN matix. Nroot=N^.5. Each NrootxNroot block must contain 1:N where blocks start at [1,1+Nroot,...] in Row/Col.</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>Input:</w:t></w:r><w:r><w:t> [M], NxN matrix (3^2&lt;=N&lt;=6^2)</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>Output:</w:t></w:r><w:r><w:t> TF, 1=Valid, 0=Invalid</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>Examples:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[TF=1\n5 3 4 6 7 8 9 1 2\n6 7 2 1 9 5 3 4 8\n1 9 8 3 4 2 5 6 7\n8 5 9 7 6 1 4 2 3\n4 2 6 8 5 3 7 9 1\n7 1 3 9 2 4 8 5 6\n9 6 1 5 3 7 2 8 4\n2 8 7 4 1 9 6 3 5\n3 4 5 2 8 6 1 7 9\n\nTF=0\n5 3 4 6 7 8 9 1 2\n6 7 2 1 9 5 3 4 8\n1 9 8 3 4 2 5 6 7\n8 5 9 7 6 1 4 2 3\n4 2 6 8 999 3 7 9 1\n7 1 3 9 2 4 8 5 6\n9 6 1 5 3 7 2 8 4\n2 8 7 4 1 9 6 3 5\n3 4 5 2 8 6 1 7 9]]></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>Contest Performance:</w:t></w:r><w:r><w:t> Best Delta Time of 7 minutes with 1146 of 2010 able to process the large data set.</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>"}]}

This Challenge is derived from <a href = "http://code.google.com/codejam/contest/2929486/dashboard#s=p0">GJam 2014 China Sudoku</a>. Large Case.The Goal is determine if the Sudoku square is valid. Each row and column must contain 1:N, for an NxN matix. Nroot=N^.5. Each NrootxNroot block must contain 1:N where blocks start at [1,1+Nroot,...] in Row/Col.Input: [M], NxN matrix (3^2&lt;=N&lt;=6^2)Output: TF, 1=Valid, 0=InvalidExamples:<pre class="language-matlab">TF=1
5 3 4 6 7 8 9 1 2
6 7 2 1 9 5 3 4 8
1 9 8 3 4 2 5 6 7
8 5 9 7 6 1 4 2 3
4 2 6 8 5 3 7 9 1
7 1 3 9 2 4 8 5 6
9 6 1 5 3 7 2 8 4
2 8 7 4 1 9 6 3 5
3 4 5 2 8 6 1 7 9
</pre><pre class="language-matlab">TF=0
5 3 4 6 7 8 9 1 2
6 7 2 1 9 5 3 4 8
1 9 8 3 4 2 5 6 7
8 5 9 7 6 1 4 2 3
4 2 6 8 999 3 7 9 1
7 1 3 9 2 4 8 5 6
9 6 1 5 3 7 2 8 4
2 8 7 4 1 9 6 3 5
3 4 5 2 8 6 1 7 9
</pre>Contest Performance: Best Delta Time of 7 minutes with 1146 of 2010 able to process the large data set.

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Last Solution submitted on Aug 03, 2020

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li haitao on 31 Oct 2018

Good idea.
Each sub-matrix transform to a column vector.

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Problem 1934. GJam 2014 China Rd B: Sudoku Checker

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