Problem 42798. Moving Product (Easy)

Created by Peng Liu

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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>Given an input array A, write a function</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:b/></w:rPr><w:t>movprod(A,k,dim)</w:t></w:r><w:r><w:t> to calculate the moving product over a sliding window of length</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:b/></w:rPr><w:t>k</w:t></w:r><w:r><w:t> along the specified dimension</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:b/></w:rPr><w:t>dim</w:t></w:r><w:r><w:t> of input array</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:b/></w:rPr><w:t>A</w:t></w:r><w:r><w:t>. If dim is omitted, operate along the first non-singleton dimension of A.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Example 1:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[ >> A = [1 2 3 4 5 6];\n >> B = movprod(A,3)\n B = \n 6 24 60 120]]></w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Example 2:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[ >> A = [1 4 3 6 2\n 2 5 1 2 3\n 3 6 2 3 5];\n >> B = movprod(A,3,2)\n B = \n 12 72 36\n 10 10 6\n 36 36 30]]></w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>You may assume that dim &lt;= 3, and the input array A is a non-empty array with size(A,dim) &gt;= k.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Related problems:</w:t></w:r><w:r><w:t> </w:t></w:r><w:hyperlink w:docLocation=\"http://www.mathworks.com/matlabcentral/cody/problems/429-function-on-a-moving-window\"><w:r><w:t>Problem 429</w:t></w:r></w:hyperlink><w:r><w:t>;</w:t></w:r><w:r><w:t> </w:t></w:r><w:hyperlink w:docLocation=\"http://www.mathworks.com/matlabcentral/cody/problems/246-project-euler-problem-8-find-largest-product-in-a-large-string-of-numbers\"><w:r><w:t>Problem 246</w:t></w:r></w:hyperlink></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:rPr><w:b/></w:rPr><w:t>A kind note</w:t></w:r><w:r><w:t> (05/15/2017): This problem was created in 2016, one year before R2017a's introduction of the built-in movprod. To avoid function name clash, we've changed the user-defined function name into</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:rPr><w:b/></w:rPr><w:t>moveprod</w:t></w:r><w:r><w:t> in the test-suite, which gives you the opportunity to solve the problem by directly calling the built-in movprod!</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>"}]}

Given an input array A, write a function movprod(A,k,dim) to calculate the moving product over a sliding window of length k along the specified dimension dim of input array A. If dim is omitted, operate along the first non-singleton dimension of A.Example 1:<pre> &gt;&gt; A = [1 2 3 4 5 6];
 &gt;&gt; B = movprod(A,3)
 B = 
 6 24 60 120</pre>Example 2:<pre> &gt;&gt; A = [1 4 3 6 2
 2 5 1 2 3
 3 6 2 3 5];
 &gt;&gt; B = movprod(A,3,2)
 B = 
 12 72 36
 10 10 6
 36 36 30</pre>You may assume that dim &lt;= 3, and the input array A is a non-empty array with size(A,dim) &gt;= k.Related problems: <a href = "http://www.mathworks.com/matlabcentral/cody/problems/429-function-on-a-moving-window">Problem 429</a>; <a href = "http://www.mathworks.com/matlabcentral/cody/problems/246-project-euler-problem-8-find-largest-product-in-a-large-string-of-numbers">Problem 246</a>A kind note (05/15/2017): This problem was created in 2016, one year before R2017a's introduction of the built-in movprod. To avoid function name clash, we've changed the user-defined function name into moveprod in the test-suite, which gives you the opportunity to solve the problem by directly calling the built-in movprod!

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