Problem 2431. Power Times (of the day)

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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>Many times throughout the day can represent mathematical equations. In this problem, we focus on times that represent powers. For example, 8:23 can be written as 8=2^3. Write a function that determines if the given time (restricted to three digits in 12-hour time, 1:00 to 9:59) is a power time. There are four types that are categorized here, and a given time can fit more than one category:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[ - equation written forward, \"=\" doesn't coincide with \":\" --> add 1 to output (e.g., 2:38)\n\n - equation written forward, \"=\" does coincide with \":\" -- > add 100 to output (e.g., 8:23)\n\n - equation written backward, \"=\" doesn't coincide with \":\" --> add 10 to output (e.g., 3:28)\n\n - equation written backward, \"=\" does coincide with \":\" --> add 1000 to output (e.g., 9:23)]]></w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Examples of combination times include 4:22 (1100 since 4=2^2 and 2^2=4) and 1:31 (1001 since 1^3=1 and 1^3=1).</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>This problem is related to</w:t></w:r><w:r><w:t> </w:t></w:r><w:hyperlink w:docLocation=\"http://www.mathworks.com/matlabcentral/cody/problems/2432-equation-times-of-the-day\"><w:r><w:t>Problem 2432</w:t></w:r></w:hyperlink><w:r><w:t> and</w:t></w:r><w:r><w:t> </w:t></w:r><w:hyperlink w:docLocation=\"http://www.mathworks.com/matlabcentral/cody/problems/2433-consecutive-equation-times-of-the-day\"><w:r><w:t>Problem 2433</w:t></w:r></w:hyperlink><w:r><w:t>.</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>"}]}

Many times throughout the day can represent mathematical equations. In this problem, we focus on times that represent powers. For example, 8:23 can be written as 8=2^3. Write a function that determines if the given time (restricted to three digits in 12-hour time, 1:00 to 9:59) is a power time. There are four types that are categorized here, and a given time can fit more than one category:<pre> - equation written forward, "=" doesn't coincide with ":" --&gt; add 1 to output (e.g., 2:38)</pre><pre> - equation written forward, "=" does coincide with ":" -- &gt; add 100 to output (e.g., 8:23)</pre><pre> - equation written backward, "=" doesn't coincide with ":" --&gt; add 10 to output (e.g., 3:28)</pre><pre> - equation written backward, "=" does coincide with ":" --&gt; add 1000 to output (e.g., 9:23)</pre>Examples of combination times include 4:22 (1100 since 4=2^2 and 2^2=4) and 1:31 (1001 since 1^3=1 and 1^3=1).This problem is related to <a href = "http://www.mathworks.com/matlabcentral/cody/problems/2432-equation-times-of-the-day">Problem 2432</a> and <a href = "http://www.mathworks.com/matlabcentral/cody/problems/2433-consecutive-equation-times-of-the-day">Problem 2433</a>.

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