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	<id>https://mywikibiz.com/index.php?action=history&amp;feed=atom&amp;title=Directory%3APunzhu_Puzzles%2FKakuro</id>
	<title>Directory:Punzhu Puzzles/Kakuro - Revision history</title>
	<link rel="self" type="application/atom+xml" href="https://mywikibiz.com/index.php?action=history&amp;feed=atom&amp;title=Directory%3APunzhu_Puzzles%2FKakuro"/>
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	<updated>2026-07-02T05:59:49Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
	<generator>MediaWiki 1.35.3</generator>
	<entry>
		<id>https://mywikibiz.com/index.php?title=Directory:Punzhu_Puzzles/Kakuro&amp;diff=10474&amp;oldid=prev</id>
		<title>Snerfling: add Product name</title>
		<link rel="alternate" type="text/html" href="https://mywikibiz.com/index.php?title=Directory:Punzhu_Puzzles/Kakuro&amp;diff=10474&amp;oldid=prev"/>
		<updated>2007-02-16T23:07:24Z</updated>

		<summary type="html">&lt;p&gt;add Product name&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left diff-editfont-monospace&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 23:07, 16 February 2007&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l24&quot; &gt;Line 24:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 24:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;| [[NAICS]]: [[NAICS_Code1:=516110]]&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;| [[NAICS]]: [[NAICS_Code1:=516110]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;}}&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;}}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;'''Cross sum ''' aka '''Kakuro''' puzzles&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;'''Cross sum ''' aka '''&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;[[Product Name:=&lt;/ins&gt;Kakuro&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;]]&lt;/ins&gt;''' puzzles&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Kakuro puzzles are a combination of crosswords and sudoku. Whereas in a crossword puzzle the black square represents a block, in kakuro puzzles the black square contains a diagonal line with a number above the line representing the sum (or product) of the numbers across from it and below the diagonal line the number there represents the sum (or product) of the numbers below it.  &lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Kakuro puzzles are a combination of crosswords and sudoku. Whereas in a crossword puzzle the black square represents a block, in kakuro puzzles the black square contains a diagonal line with a number above the line representing the sum (or product) of the numbers across from it and below the diagonal line the number there represents the sum (or product) of the numbers below it.  &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Snerfling</name></author>
	</entry>
	<entry>
		<id>https://mywikibiz.com/index.php?title=Directory:Punzhu_Puzzles/Kakuro&amp;diff=10473&amp;oldid=prev</id>
		<title>Snerfling: Add 'product of' relation</title>
		<link rel="alternate" type="text/html" href="https://mywikibiz.com/index.php?title=Directory:Punzhu_Puzzles/Kakuro&amp;diff=10473&amp;oldid=prev"/>
		<updated>2007-02-16T23:04:30Z</updated>

		<summary type="html">&lt;p&gt;Add &amp;#039;product of&amp;#039; relation&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left diff-editfont-monospace&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 23:04, 16 February 2007&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l47&quot; &gt;Line 47:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 47:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;To market your product or service through Punzhu Puzzles please contact our advertising department [http://www.punzhu.com/forums/sendmessage.php here].&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;To market your product or service through Punzhu Puzzles please contact our advertising department [http://www.punzhu.com/forums/sendmessage.php here].&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[Product Of::Directory:Punzhu Puzzles|:Directory:Punzhu Puzzles]]&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Snerfling</name></author>
	</entry>
	<entry>
		<id>https://mywikibiz.com/index.php?title=Directory:Punzhu_Puzzles/Kakuro&amp;diff=10472&amp;oldid=prev</id>
		<title>Nanaimobar at 22:27, 16 February 2007</title>
		<link rel="alternate" type="text/html" href="https://mywikibiz.com/index.php?title=Directory:Punzhu_Puzzles/Kakuro&amp;diff=10472&amp;oldid=prev"/>
		<updated>2007-02-16T22:27:29Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;{{Infobox_Company  &lt;br /&gt;
| company_name  = [[Company_Name:=Punzhu Puzzles]]&lt;br /&gt;
| company_logo  = [[Image:xwordhero.jpg|150px|Punzhu Puzzle logo]] &lt;br /&gt;
| company_slogan = ''The Puzzle People Place'' &lt;br /&gt;
| company_type  = [[Company_Type:=Private|[[Private Company|Private]]]]&lt;br /&gt;
| foundation  = [[Year_Started:=1931|[[1931]]]] &lt;br /&gt;
| location  = [[City: | ]] [[State_Name: | ]][[Country_Name:=Canada|[[Directory:Canada|Canada]]]] &lt;br /&gt;
| key_people  = [[Key_Person1:=Ted Summerfield|Ted Summerfield]], [[Key_Person1_Title:=Editor|Publisher]]&lt;br /&gt;
| industry       = [[NAICS_Code1_Title:=51 Information|Internet Publishing]]&amp;lt;br&amp;gt;[[NAICS_Code1_Title:=71 Arts, Entertainment, and Recreation|Magazine Publishing]]&amp;lt;br&amp;gt;[[NAICS_Code3_Title:=Scientific and Technical Consulting Services|[[Consultant|Consulting]]]]&lt;br /&gt;
| products  = Punzhu publishes puzzles and games for use by companies, individuals, educators, libraries, and non-profits.&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Punzhu creates custom puzzles for business, educators, other publishers including newspapers and magazines, or non-profit organizations.&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Punzhu provides advertising services to clients wishing to reach puzzle enthusiasts around the world through our online web site or our magazines.&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Punzhu Puzzles creates custom puzzles and games for businesses, educators, and non-profits.&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
We provide custom advertising services to suit most marketing plans.&amp;lt;br&amp;gt;&lt;br /&gt;
&lt;br /&gt;
| services  = Punzhu provides advertising services to clients wishing to reach puzzle enthusiasts around the world through our online web site or our magazines. Punzhu Puzzles will create custom puzzles and games for businesses, educators, and non-profits. We provide custom advertising services to suit most marketing plans.  &lt;br /&gt;
| parent = Summerfield’s Limited &lt;br /&gt;
| contact = [[Legal_Name:=Summerfield’s Limited|Summerfield’s Limited]]][[Email:=publisher@punzhu.com|[mailto:publisher@punzhu.com 4) Mail]]]&lt;br /&gt;
|  reference = &amp;lt;!-- Reference items help facilitate search engine optimization (SEO) --&amp;gt;[[NAICS]]: [[NAICS_Code1:=516110]], [[NAICS_Code2:=511120]],[[NAICS_Code3:=454112]]&lt;br /&gt;
| [[NAICS]]: [[NAICS_Code1:=516110]]&lt;br /&gt;
}}&lt;br /&gt;
'''Cross sum ''' aka '''Kakuro''' puzzles&lt;br /&gt;
&lt;br /&gt;
Kakuro puzzles are a combination of crosswords and sudoku. Whereas in a crossword puzzle the black square represents a block, in kakuro puzzles the black square contains a diagonal line with a number above the line representing the sum (or product) of the numbers across from it and below the diagonal line the number there represents the sum (or product) of the numbers below it. &lt;br /&gt;
&lt;br /&gt;
Kakuro puzzles have a grid similar to crosswords and, like sudoku, use only the numbers 1-9.&lt;br /&gt;
&lt;br /&gt;
Kakuro, and sudoku, may have had their origins in magic squares. A magic square is a square array of integers in which the rows, columns, and diagonals have the same sum. Magic squares are one of the oldest mathematical puzzles and have been known since at least medieval times.&lt;br /&gt;
&lt;br /&gt;
Both sudoku and kakuro may share some history as first put forth by Leonard Eular, a Swiss physicist, in a paper in 1783 showing how to construct magic squares with a certain number of cells. He referred to this as a Latin square because he used Roman numerals. &lt;br /&gt;
&lt;br /&gt;
Sudoku and kakuro puzzles differ from magic squares in that the same sum is not shared across the rows, columns, and diagonals. However, it is not a major leap to consider that both sudoku and kakuro puzzles have some link in history to magic squares due the extensive time period in which magic squares have been known and used.&lt;br /&gt;
&lt;br /&gt;
As with our crossword and Pathway grids, a kakuro puzzle grid is first created then tested to determine if the grid design is successful or needs revision.  A kakuro grid may be square, rectangular, triangular, round, or any shape that lends itself to be an interesting (and solvable) puzzle.&lt;br /&gt;
&lt;br /&gt;
The level of difficulty within a grid is determined during its construction. Some kakuro puzzles may seem difficult when one first looks at the grid, but in reality the puzzle may be quite easy. And vice versa.&lt;br /&gt;
&lt;br /&gt;
Here is an example of an easy kakuro puzzle:&lt;br /&gt;
&lt;br /&gt;
[[Image:Kakuro.jpg]]&lt;br /&gt;
&lt;br /&gt;
Kakuro puzzles are available for free download from our [http://www.magazine.punzhu.com/index.php web site]. Please contact our [http://www.punzhu.com/forums/sendmessage.php sales] department for commercial kakuro puzzles.&lt;br /&gt;
&lt;br /&gt;
To market your product or service through Punzhu Puzzles please contact our advertising department [http://www.punzhu.com/forums/sendmessage.php here].&lt;/div&gt;</summary>
		<author><name>Nanaimobar</name></author>
	</entry>
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