[Retros] François Labelle’s 62 points

[Éric Angelini]

Thank you for your comment, Noam.
If I understand well François, these
statements:
— there is a checkmate on the board
— there are 62 points on the board 
— k plies were played
… are enough to *force* the said k single
moves if k is the smallest possible integer.
Best,
É.
Catapulté de mon aPhone


> Le 4 avr. 2023 à 17:54, Elkies, Noam <elkies at math.harvard.edu> a écrit :
> 
> <eric.angelini at skynet.be> writes:
> 
>> F. Labelle has found a SPG ending in a mate
>> that leaves 62 points on the chessboard
>> (with pawn=1 point, Knight=3,
>> Bishop=3, Rook=5, Queen=9, King=0).
>> I couldn’t find it :-(
> 
> I don't understand.  If I calculate right, we start with
> 39 points on a side, for a total of 78.  So, assuming no promotions,
> we need to get exactly 16 points captured en route to mate.
> This looks too easy if we don't impose any additional condition
> (and require no artistic content); for instance (C+ Popeye, <50 msec.)
> 1 d3 c6 2 Qd2 Qb6 3 Qf4 Qxb2 4 Qxb8 Qxb1 5 Qxa8 Qxc2 6 Qxc8#,
> or the same with 5 . . . Qxa2.  There must also be many published
> SPG's ending in mate that happen to have 62 points in the final position.
> 
> NDE
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