[Retros] Happy New Year!

[Juha Saukkola]

>One solution is: 1.Sf3 2.Se5 3.f3 4.-8.Kb5 9.c4 10.g3 11.Sc3 12.Rg1. But 

>what's this joke?


g3, c4->Nc3->Rb1, Nf3->Ne5->f3->Kf2->Ke3->Kd4->Kc5->Kb5

12 x 11!/3!8! = 12 x 165 = 1980

g3, Nf3->Ne5->f3->Kf2->Ke3->Kd3/d4->Kc4->Kb5->c4->Nc3->Rb1
12 x 2 = 24

1980 + 24 = 2004

It's nice!
What's the position (in shortest number of moves) with 2004 sols?
Or with n?
What's the lowest number n without that kind of position?


>>+-----------------+

>>| - - - - - - - - |   Noam D. Elkies, 1/2004

>>| - - - - - - - - |

>>| - - - - - - - - |

>>| - K - - N - - - |

>>| - - P - - - - - |

>>| - - N - - P P - |

>>| P P - P P - - P |   16+0

>>| - R B Q - B - R |   OSPG-12: How many solutions?

>>|_________________|


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