[Retros] François Labelle’s 62 points (8 plies)

Éric Angelini eric.angelini at skynet.be
Tue Apr 4 13:10:50 EDT 2023

```         K = 8, has just e-mailed me François.
This means that White is checkmate,
62 points are on the board,
and there is a unique way to  arrange
the succession of the 8 moves.
Best,
É.

------ Message d'origine ------
De: eric.angelini at skynet.be
To: retros at janko.at
Envoyé: mardi 4 avril 2023 17:31
Objet: Re: [Retros] François Labelle’s 62 points

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 :-(
>
> 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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