[Retros] FEN fun (more zero)

[Francois Labelle]

On 08/04/2013 11:34 AM, Eric Angelini wrote:

> - there is no retro-content


Hi Eric,

One way to make your idea thematic for this mailing list is to ask for 
the shortest *unique proof game* with a FEN string showing only a given 
number. Below is an example found by my computer, and some lower bounds 
on the length when I couldn't find an example.

Mono-1: >= 10.0 moves
Mono-2: >= 7.5 moves
Mono-3: 2 unique proof games in 6.0 moves:
1. d4 d5 2. Bh6 Bf5 3. e3 Bxc2 4. Qh5 Be4 5. Bd3 Qd6 6. Kf1 Nd7
1. d4 d5 2. Bh6 Bf5 3. e3 Bxc2 4. Qh5 Be4 5. Bd3 Qd6 6. Kf1 Kd7
Mono-4: >= 10.0 moves
Mono-7: >= 7.5 moves

     Francois


> - I'm working on the lenght of the shortest

> games with a FEN string showing only

> 1's (conjectured: length 10.0), then only 2's (length 6.0),

> only "3" (7.0), only "4" (8.0), only "5" (13.0), only "6" (? 18.0), only "7" (?),

> only "8" (zero!)

> I'll post next week a link to a page of mine.

> P.-S. this is  marvelously time-consuming puzzle.

> É.

> Propulsé d'un aPhone

>

>

>

> Le 3 août 2013 à 19:14, "Eric Angelini" <Eric.Angelini at kntv.be> a écrit :

>

>>

>> Hello Retro-fans,

>> What is the length of the shortest game

>> producing a FEN string where all the

>> numbers are equal?

>> I (humbly) claim 7.

>> Best,

>> É.

>>

>>

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>> Retros at janko.at

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