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Subject: Re: 3 quiescent problems(illegal positions)

Author: Uri Blass

Date: 00:52:14 01/10/03

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On January 10, 2003 at 02:48:26, Dann Corbit wrote:

>[D]3k4/qqqqqqqq/2R1R3/2nBbN2/Q6q/2NbBn2/2r1r2Q/QQQQQQQK w - - acn 339365; acs 5;
>ce -32761; pv Qhxh4 Rh2+ Qgxh2 Rxh2+ Qxh2 Qxh2#;
>
>[D]1Q1Qq1q1/Q2qQ2q/1bn2NB1/Q2qQ2q/1Q1Qq1q1/2N2n2/1b4B1/1rkrRKR1 w - - acn 1069;
>acs 0; bm Na2+; ce 32762; dm 3; pv Na2+ Qxa2 Qxd1+ Qxd1 Qxd1#;
>
>[D]1Q1Qq1q1/Q2qQ2q/1bn2NB1/Q2qQ2q/1Q1Qq1q1/2N2n2/8/rBKRrkbR w - - acn 20175922;
>acs 259; bm Qxg1+ Rxg1+; ce 32752; dm 8; pv Rxg1+ Qxg1 Qxg1+ Bxg1 Qxg1+ Nxg1
>Rxe1+ Kxe1 Ncxe4+ Qd2+ Qxd2+ Qxd2+ Qaxd2+ Kf1 Ng3#;


Your positions are illegal.

In the first position there are 32 pieces on the board and it means that there
were no captures so there were no promotions and it is impossible to have it
when the number of white queens is bigger than 1.

In the second and third position there are 30 pieces but it is easy to prove
that all the white pawns need to promote to get 8 white queens and 2 white
bishops with the same color.

It is impossible to promote 8 pawns when only 2 capture are allowed because
every capture can open at most 2 new files for promotion.

Uri



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