Problem 377. Poker Series 06: isThreeKind

Created by Doug Hull

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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>The Poker Series consists of many short, well defined functions that when combined will lead to complex behavior. Our goal is to create a function that will take two hand matrices (defined below) and return the winning hand.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>A hand matrix is 4x13 binary matrix showing the cards that are available for a poker player to use. This program will be expandable to use 5 card hands through 52 card hands! Suits of the cards are all equally ranked, so they only matter for determination of flushes (and straight flushes).</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>For each challenge, you should feel free to reuse your solutions from prior challenges in the series. To break this problem into smaller pieces, I am likely making architectural choices that are sub-optimal for speed. This is being done as an exercise in coding. The larger goal of this project can likely be done in a much faster, but more obscure way.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>--------</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>A three of a kind is 3 cards of the same rank (column). The Ace (first column) is highest. The columns represent A, 2, 3, ... K. The next two highest cards are the kickers. If the kickers also form a pair, it is still considered three of a kind for the purposes of this function.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>This hand matrix:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[0 1 0 0 1 0 0 0 0 0 0 0 0 \n0 0 1 0 0 0 0 0 0 0 0 0 0\n0 1 0 1 0 0 0 0 0 0 0 0 0 \n0 1 0 0 0 1 0 0 0 0 0 0 0]]></w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>represents a three of a kind, so the return value from the function is TRUE.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>This hand matrix does not:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[0 1 1 0 1 1 0 0 0 0 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 1 0 0 0 \n0 0 0 0 0 0 0 0 0 0 0 0 0]]></w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>so the return value should be FALSE.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>This hand matrix does represent a three of a kind</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[0 0 0 0 0 0 0 0 0 1 0 0 1 \n0 0 0 0 0 0 0 0 0 0 1 0 0\n0 0 0 0 0 0 0 0 0 1 0 0 0 \n0 0 0 0 0 1 0 0 0 1 0 1 0]]></w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Remember, hand matrices can contain any number of 1's from 0 to 52.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[0 0 0 0 0 1 0 0 0 0 0 0 0 \n0 0 0 0 1 1 1 0 0 0 0 0 1\n0 0 0 1 0 1 0 0 0 1 0 0 0 \n0 0 1 0 0 0 0 0 0 0 0 1 0]]></w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Would be TRUE for this function.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>A second output argument should come from this function. It is a usedCards Matrix. It is of the same form as the hand matrix, but it only shows the cards used to make the three of a kind. If more than one three of a kind can be made, return the higher ranking one (the one with the highest rank. Ace being the highest). If different suits are possible for the same three of a kind cards, return the one higher up in the matrix, same for kickers. If the three of a kind happens to also be a four of a kind or full house, it still meets the defintion and should be returned.</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>"}]}

The Poker Series consists of many short, well defined functions that when combined will lead to complex behavior. Our goal is to create a function that will take two hand matrices (defined below) and return the winning hand.A hand matrix is 4x13 binary matrix showing the cards that are available for a poker player to use. This program will be expandable to use 5 card hands through 52 card hands! Suits of the cards are all equally ranked, so they only matter for determination of flushes (and straight flushes).For each challenge, you should feel free to reuse your solutions from prior challenges in the series. To break this problem into smaller pieces, I am likely making architectural choices that are sub-optimal for speed. This is being done as an exercise in coding. The larger goal of this project can likely be done in a much faster, but more obscure way.--------A three of a kind is 3 cards of the same rank (column). The Ace (first column) is highest. The columns represent A, 2, 3, ... K. The next two highest cards are the kickers. If the kickers also form a pair, it is still considered three of a kind for the purposes of this function.This hand matrix:<pre class="language-matlab">0 1 0 0 1 0 0 0 0 0 0 0 0 
0 0 1 0 0 0 0 0 0 0 0 0 0
0 1 0 1 0 0 0 0 0 0 0 0 0 
0 1 0 0 0 1 0 0 0 0 0 0 0
</pre>represents a three of a kind, so the return value from the function is TRUE.This hand matrix does not:<pre class="language-matlab">0 1 1 0 1 1 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 1 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0
</pre>so the return value should be FALSE.This hand matrix does represent a three of a kind<pre class="language-matlab">0 0 0 0 0 0 0 0 0 1 0 0 1 
0 0 0 0 0 0 0 0 0 0 1 0 0
0 0 0 0 0 0 0 0 0 1 0 0 0 
0 0 0 0 0 1 0 0 0 1 0 1 0
</pre>Remember, hand matrices can contain any number of 1's from 0 to 52.<pre class="language-matlab">0 0 0 0 0 1 0 0 0 0 0 0 0 
0 0 0 0 1 1 1 0 0 0 0 0 1
0 0 0 1 0 1 0 0 0 1 0 0 0 
0 0 1 0 0 0 0 0 0 0 0 1 0 
</pre>Would be TRUE for this function.A second output argument should come from this function. It is a usedCards Matrix. It is of the same form as the hand matrix, but it only shows the cards used to make the three of a kind. If more than one three of a kind can be made, return the higher ranking one (the one with the highest rank. Ace being the highest). If different suits are possible for the same three of a kind cards, return the one higher up in the matrix, same for kickers. If the three of a kind happens to also be a four of a kind or full house, it still meets the defintion and should be returned.

The Poker Series consists of many short, well defined functions that when combined will lead to complex behavior.  Our goal is to create a function that will take two hand matrices (defined below) and return the winning hand.

A hand matrix is 4x13 binary matrix showing the cards that are available for a poker player to use.  This program will be expandable to use 5 card hands through 52 card hands!  Suits of the cards are all equally ranked, so they only matter for determination of flushes (and straight flushes).

For each challenge, you should feel free to reuse your solutions from prior challenges in the series.  To break this problem into smaller pieces, I am likely making architectural choices that are sub-optimal for speed.  This is being done as an exercise in coding.  The larger goal of this project can likely be done in a much faster, but more obscure way.

--------

A three of a kind is 3 cards of the same rank (column).  The Ace (first column) is highest.  The columns represent A, 2, 3, ... K.  The next two highest cards are the kickers.  If the kickers also form a pair, it is still considered three of a kind for the purposes of this function.

This hand matrix:

0 1 0 0 1 0 0 0 0 0 0 0 0 
  0 0 1 0 0 0 0 0 0 0 0 0 0
  0 1 0 1 0 0 0 0 0 0 0 0 0 
  0 1 0 0 0 1 0 0 0 0 0 0 0

represents a three of a kind, so the return value from the function is TRUE.

This hand matrix does not:

0 1 1 0 1 1 0 0 0 0 0 0 0 
  0 0 0 0 0 0 0 0 0 0 0 0 0
  0 0 0 0 0 0 0 0 0 1 0 0 0 
  0 0 0 0 0 0 0 0 0 0 0 0 0

so the return value should be FALSE.

This hand matrix does represent a three of a kind

0 0 0 0 0 0 0 0 0 1 0 0 1 
  0 0 0 0 0 0 0 0 0 0 1 0 0
  0 0 0 0 0 0 0 0 0 1 0 0 0 
  0 0 0 0 0 1 0 0 0 1 0 1 0

Remember, hand matrices can contain any number of 1's from 0 to 52.

0 0 0 0 0 1 0 0 0 0 0 0 0 
  0 0 0 0 1 1 1 0 0 0 0 0 1
  0 0 0 1 0 1 0 0 0 1 0 0 0 
  0 0 1 0 0 0 0 0 0 0 0 1 0

Would be TRUE for this function.

A second output argument should come from this function.  It is a usedCards Matrix.  It is of the same form as the hand matrix, but it only shows the cards used to make the three of a kind.  If more than one three of a kind can be made, return the higher ranking one (the one with the highest rank.  Ace being the highest).  If different suits are possible for the same three of a kind cards, return the one higher up in the matrix, same for kickers.  If the three of a kind happens to also be a four of a kind or full house, it still meets the defintion and should be returned.

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Problem 377. Poker Series 06: isThreeKind

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