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📄 grundy's game -- from mathworld.htm

📁 Sprague-Grundy Value(博弈论)
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content="A special case of nim played by the following rules. Given a heap of size n, two players alternately select a heap and divide it into two unequal heaps. A player loses when he cannot make a legal move because all heaps have size 1 or 2. Flammenkamp gives a table of the extremal Sprague-Grundy values for this game. The first few values of Grundy's game are 0, 0, 0, 1, 0, 2, 1, 0, 2, ... (Sloane's" 
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                <TD width="100%"><SPAN class=sidebarheader>INDEX</SPAN></TD>
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                  href="http://mathworld.wolfram.com/topics/AppliedMathematics.html"><NOBR>Applied 
                  Mathematics</NOBR></A></TD>
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                  and Analysis</NOBR></A></TD>
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                width=1></TD></TR>
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                  href="http://mathworld.wolfram.com/topics/DiscreteMathematics.html"><NOBR>Discrete 
                  Mathematics</NOBR></A></TD>
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                  of Mathematics</NOBR></A></TD>
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                <TD><A class=sidebarlink 
                  href="http://mathworld.wolfram.com/topics/HistoryandTerminology.html"><NOBR>History 
                  and Terminology</NOBR></A></TD>
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                width=1></TD></TR>
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                <TD><A class=sidebarlink 
                  href="http://mathworld.wolfram.com/topics/NumberTheory.html"><NOBR>Number 
                  Theory</NOBR></A></TD>
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                width=1></TD></TR>
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                <TD><A class=sidebarlink 
                  href="http://mathworld.wolfram.com/topics/ProbabilityandStatistics.html"><NOBR>Probability 
                  and Statistics</NOBR></A></TD>
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                width=1></TD></TR>
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                <TD><A class=sidebarlink 
                  href="http://mathworld.wolfram.com/topics/RecreationalMathematics.html"><NOBR>Recreational 
                  Mathematics</NOBR></A></TD>
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                width=1></TD></TR>
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                  href="http://mathworld.wolfram.com/topics/Topology.html">Topology</A></TD>
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                <TD><A class=sidebarlink 
                  href="http://mathworld.wolfram.com/letters/"><NOBR>Alphabetical 
                  Index</NOBR></A></TD>
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