Problem 2432. Equation Times (of the day)

Created by goc3

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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 include the four basic operations (+,-,*,/). For example, 6:17 can be written as 6=1+7. Write a function that determines if the given time (restricted to three digits in 12-hour time, 1:00 to 9:59) is an equation time, and if so, which basic operation it uses. There are also four types of equations 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., 2:35, 2+3=5)\n\n - equation written forward, \"=\" does coincide with \":\" -- > add 100 to output (e.g., 2:53, 2=5-3)\n\n - equation written backward, \"=\" doesn't coincide with \":\" --> add 10 to output (e.g., 3:26, 6=2*3)\n\n - equation written backward, \"=\" does coincide with \":\" --> add 1000 to output (e.g., 4:28, 8/2=4)]]></w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Note that some of these combinations are tied to each other due to the commutative nature of + and * and the inverse relation of +,- and ,/. The output should be a 4x2 matrix with 0s or 1s in the first column dependent on whether each operation (+,-,*,/) is applicable to a given time and the totals in the second column. Examples include:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>4:22 | out = [1 1100; 1 1; 1 1100; 1 1]; since 4=2+2, 2+2=4; 4-2=2; 4=2*2, 2*2=4; 4/2=2.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>5:15 | out = [0 0; 0 0; 1 1111; 1 1001]; since 5*1=5, 5=1*5, 5*1=5, 5=1*5; 5/1=5, 5/1=5.</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/2431-power-times-of-the-day\"><w:r><w:t>Problem 2431</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 include the four basic operations (+,-,*,/). For example, 6:17 can be written as 6=1+7. Write a function that determines if the given time (restricted to three digits in 12-hour time, 1:00 to 9:59) is an equation time, and if so, which basic operation it uses. There are also four types of equations 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., 2:35, 2+3=5)</pre><pre> - equation written forward, "=" does coincide with ":" -- &gt; add 100 to output (e.g., 2:53, 2=5-3)</pre><pre> - equation written backward, "=" doesn't coincide with ":" --&gt; add 10 to output (e.g., 3:26, 6=2*3)</pre><pre> - equation written backward, "=" does coincide with ":" --&gt; add 1000 to output (e.g., 4:28, 8/2=4)</pre>Note that some of these combinations are tied to each other due to the commutative nature of + and * and the inverse relation of +,- and ,/. The output should be a 4x2 matrix with 0s or 1s in the first column dependent on whether each operation (+,-,*,/) is applicable to a given time and the totals in the second column. Examples include:4:22 | out = [1 1100; 1 1; 1 1100; 1 1]; since 4=2+2, 2+2=4; 4-2=2; 4=2*2, 2*2=4; 4/2=2.5:15 | out = [0 0; 0 0; 1 1111; 1 1001]; since 5*1=5, 5=1*5, 5*1=5, 5=1*5; 5/1=5, 5/1=5.This problem is related to <a href = "http://www.mathworks.com/matlabcentral/cody/problems/2431-power-times-of-the-day">Problem 2431</a> and <a href = "http://www.mathworks.com/matlabcentral/cody/problems/2433-consecutive-equation-times-of-the-day">Problem 2433</a>.

Many times throughout the day can represent mathematical equations. In this problem, we focus on times that include the four basic operations (+,-,*,/). For example, 6:17 can be written as 6=1+7. Write a function that determines if the given time (restricted to three digits in 12-hour time, 1:00 to 9:59) is an equation time, and if so, which basic operation it uses. There are also four types of equations that are categorized here, and a given time can fit more than one category:

- equation written forward, "=" doesn't coincide with ":" --> add 1 to output (e.g., 2:35, 2+3=5)

- equation written forward, "=" does coincide with ":" -- > add 100 to output (e.g., 2:53, 2=5-3)

- equation written backward, "=" doesn't coincide with ":" --> add 10 to output (e.g., 3:26, 6=2*3)

- equation written backward, "=" does coincide with ":" --> add 1000 to output (e.g., 4:28, 8/2=4)

Note that some of these combinations are tied to each other due to the commutative nature of + and * and the inverse relation of +,- and **,/. The output should be a 4x2 matrix with 0s or 1s in the first column dependent on whether each operation (+,-,*,/) is applicable to a given time and the totals in the second column. Examples include:

4:22 | out = [1 1100; 1 1; 1 1100; 1 1]; since 4=2+2, 2+2=4; 4-2=2; 4=2*2, 2*2=4; 4/2=2.

5:15 | out = [0 0; 0 0; 1 1111; 1 1001]; since 5*1=5, 5=1*5, 5*1=5, 5=1*5; 5/1=5, 5/1=5.

This problem is related to <http://www.mathworks.com/matlabcentral/cody/problems/2431-power-times-of-the-day Problem 2431> and <http://www.mathworks.com/matlabcentral/cody/problems/2433-consecutive-equation-times-of-the-day Problem 2433>.

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Problem 2432. Equation Times (of the day)

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