change log for P1243431 (close)

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2014-12-3118:19:13A.Buchanan Loss of tempo refkey   add  
2014-12-3118:18:55A.Buchanan P1243431 problems soltxt  update Well obviously it must be 60 solutions. How does this happen? Black has taken at least 6 moves, yet White is checking him, so must have taken at least 7, although White appears to have only made 6 moves. The only way for White to lose 1 tempo is with Bc1-a3-b2. So let's aim for PG in 6.5. Black's moves are deterministic now, but White's consist of 3 independent chains: b3, Ba3, Bb2; Nf3, Nh4; Nc3. These must all be complete before the final check. 3,2 & 1 moves can be ordered in exactly 6!/(3!2!) = 60 ways. 
2014-12-3118:09:11A.Buchanan Path enumeration refkey   add  
2014-05-215:11:32A.Buchanan Non-Unique Proof Game refkey   add  
2012-06-3017:57:47A.Buchanan P1243431 problems comment  update Problem 9 original: N.D.Elkies, New Directions in Enumerative Chess Problems, The Electronic Journal of Combinatorics, vol. 11(2), 2004. 
2012-06-2920:52:17A.Buchanan Mathematics refgen   add  
2012-06-2920:52:17A.Buchanan Retro refgen   add  
2012-06-2920:52:17A.Buchanan wKe1 wDd1 wTh1a1 wLf1b2 wSh4d5 wBh2g2f2e2d2c2a2b3 sKf6 sDg5 sTh8a8 sLg4f8 sSg8b8 sBe6d6h7g7f7c7b7a7 position   add  
2012-06-2920:52:17A.Buchanan Noam D. Elkies refaut   add  
2012-06-2920:52:17A.Buchanan P1243431 problems fcooked  update 
2012-06-2920:52:17A.Buchanan P1243431 problems cplus  update 
2012-06-2920:52:17A.Buchanan P1243431 problems dedication update for Richard Stanley on his 60th birthday 
2012-06-2920:52:17A.Buchanan P1243431 problems stip  update How many shortest proof games? 
2012-06-2920:52:16A.Buchanan P1243431 problems   add