http://sudopedia.sudocue.net/index.php?action=history&feed=atom&title=SubsetSubset - Revision history2026-08-24T20:06:32ZRevision history for this page on the wikiMediaWiki 1.36.2http://sudopedia.sudocue.net/index.php?title=Subset&diff=891&oldid=prevRuud at 12:45, 30 October 20212021-10-30T12:45:29Z<p></p>
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</table>Ruudhttp://sudopedia.sudocue.net/index.php?title=Subset&diff=108&oldid=prev127.0.0.1: Created page with "Complex problems can often be solved by finding ways to split them into several smaller problems. In a Sudoku, each house is a problem that has 362880 possible solutions (..."2021-10-24T15:50:44Z<p>Created page with "Complex problems can often be solved by finding ways to split them into several smaller problems. In a Sudoku, each <a href="/index.php?title=House" title="House">house</a> is a problem that has 362880 possible solutions (..."</p>
<p><b>New page</b></p><div>Complex problems can often be solved by finding ways to split them into several smaller problems. In a Sudoku, each [[house]] is a problem that has 362880 possible solutions (the possible permutations for the 9 [[digit]]s). To reduce this number, a player will try to isolate groups of [[cell]]s and digits from the remainder of the house.<br />
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When '''N''' cells and '''N''' digits are isolated, a '''subset''' of size '''N''' is formed.<br />
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Alternative terms are '''disjoint subset''', '''locked set''' and '''number chain'''.<br />
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== Subset Techniques ==<br />
There are 2 solving techniques that are focused on subsets:<br />
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; [[Naked Subset]]<br />
: N cells with candidates for only N digits.<br />
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; [[Hidden Subset]]<br />
: N digits that only have candidates in N cells.<br />
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Naked and hidden subsets are complementary. When a house with 7 unsolved cells has a naked subset of size 3, it also contains a complementary hidden subset of size 4.<br />
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== Fish and Subsets ==<br />
[[Fish]] and Subsets are complementary to each other. One can transform a problem of finding a fish into a problem of finding a subset, and vice versa. See [[Fish and Subsets]] for more.<br />
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== See Also ==<br />
* [[Almost Locked Set]]<br />
* [[Fish]]<br />
* [[Fish and Subsets]]</div>127.0.0.1