sábado, 16 de janeiro de 2016

PROBLEMAS + O “PÉ-DE-AVESTRUZ” (VIII)


Blog ─ 5º aniversário ─ 19.01.16
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5º aniversário do blog 
       Prezadas seguidoras: Ana Paula, Carol Manolio, Hertz Ignacio; prezados seguidores: Moisés Teixeira, Nilton Silva, Dorival Menezes, José Filho, Marcos Macedo, Davy, Luís Carlos, Carlos André, Alex Dantas, Adriano Gomes e Stélio Júnior.
       Hoje, um dia inesquecível pra mim, quero agradecer aos 14 seguidores, especialmente à Ana Paula, tetracampeã do Campeonato Brasileiro de Damas Feminino, cuja foto foi a primeira a ilustrar o blog. Naquela época, eu não sabia bem o que era blog (risos).
            E quero agradecer, ainda, aos/às damistas do Brasil e de mais alguns países, pelo constante acesso do meu blog.
              Agradecimentos especiais para: Raquel Lopes Sabbas e Vlademir Vieira.
        E grande abraço deste blogueiro para: Alvacir, Lélio, C. A. Ferrinho, Genaldo, Antônio C. Ruffing, Oziel, José Carlos, Josevan, Miguel Cavalcante, Antônio T. Vitorino, Douglas Diniz, Lineu, Mauro Vieira, João B. Ribeiro, Ciro Gonçalves, Roberto e Allan Machado.
José Bóia Farias




PARTE 2
PARTE 1 Sumário (ver postagem de DEZ.2014)


                  Problemas

                                                            SOLUÇÃO DO PROBLEMA ANTERIOR

                                              Problema 93

                                                           1. d2-e3                                e7xa3
                                                           2. d4-c5                                a3xb4
                                                           3. a5xh8                               X.

Temas: Turco, Bipolar e Mate em Ângulo

94
Jogam as brancas e ganham

A solução desse problema, veja na próxima postagem


O “PÉ-DE-AVESTRUZ” (VIII)
 1.6 O “Pé-de-Avestruz”
e quatro Damas X duas Damas

O Pé-de-Avestruz também funciona neste tipo de final:


            Quatro Damas, com a posse:
a)    da grande diagonal (a1─h8);  e
b)    da bidiagonal (a7─b8─h2─g1) vencem duas Damas, facilmente, depois de feita a posição final, que se vê no Diagrama acima.

1

                                                                                  I

                                                           1. e5-a1                                 a5-d8
            Se 1. ... a5-e1   2. f4-g3 X.
            Se 1. ... h4-e1   2. f4-d2 X.
            Se 1. ... h4-d8   2. f4-c7 X.
                                                           2. f4-g5                                 X.

                                                                                  II

                                                           1. ...                                      a5-d8
            Se 1. ... h4-e1   2. e5-a1 e1-h4  (se 2. ... a5-d8   3. a1-h8 X)  3. a1-h8 X.
            Se 1. ... h4-d8   2. e5-c7 d8xb6   3. a7xd4 X.
                                                           2. e5-a1                                d8-a5
            Se 2. ... h4-e1  3. a1-h8 e1-h4  (se 3. ... d8-a5  4. f4-d2 X)  4. f4-g5 X.
                                                           3. a1-h8                                a5-d8
            Se 3. ... h4-e1   4. f4-d2 X.
                                                           4. f4-g5                                 X.

2

                                                                                  I

                                                           1. e5-a1                                 X.

                                                                                  II

                                                           1. ...                                       d8-a5
            Se 1. ... d8-h4   2. e5-g3 h4xf2   3. g1xd4 X.
            Se 1. ... e1-h4   2. e5-a1 h4-e1  (se 2. ... d8-a5   3. a1-h8 X)  3. a1-h8 X.
                                                           2. e5-a1                                a5-d8
            Se 2. ... e1-h4   3. a1-h8 X.
                                                           3. a1-h8                                X.

3

                                                                                  I

                                                           1. d4-h8                                d8-a5
            Se 1. ... e1-h4   2. e3-g5 X.
                                                           2. e3-d2                                X.

                                                                                  II

                                                           1. ...                                       d8-a5
            Se 1. ... e1-h4   2. d4-h8 h4-e1  (se 2. ... d8-a5   3. h8-a1 X)  3. h8-a1 X.
                                                           2. d4-h8                                a5-d8
            Se 2. ... e1-h4   3. h8-a1 X.
                                                           3. h8-a1                                X.

4
                                                                                 
                                                                                  I 

                                                           1. d4-h8                                a5-d8
            Se 1. ... h4-e1   2. c5-b4 X.
                                                           2. c5-e7                                 X.

                                                                                  II

                                                           1. ...                                       a5-d8
            Se 1. ... h4-e1   2. d4-h8 e1-h4  (se 2. ... a5-d8   3. h8-a1 X)   3. h8-a1 X.
                                                           2. d4-h8                                d8-a5
            Se 2. ... h4-e1   3. h8-a1 X.
                                                           3. h8-a1                                X.


1.6.1 O “Pé-de-Avestruz”
e quatro Damas
X duas Damas e uma pedra

           Quatro Damas, com o domínio da grande diagonal (a1─h8) e da bidiagonal (a7─b8─h2─g1), devem proceder assim para vencer duas Damas e uma pedra:      
a)  forma-se o triângulo Pé-de-Avestruz, normalmente, com três Damas  brancas e uma pedra preta;
b)   a quarta Dama branca fica numa das extremidades da tridiagonal: a3 ou f8; ou h6 ou c1.
           Isso se demonstra com o conjunto de Diagramas de 1 a 9, quando a pedra estiver em a3, a5, a7, b8, d8, f8, h6, h4 e h8. Mas, com a pedra na casa h8, uma pequena alteração ocorre na disposição das peças, porém o triângulo se mantém intacto. (Ver Diagrama 9, adiante).

                                                                 1

                                                                                  I                                                                                  
                                                           1. a7-e3                                 h6xd2
                                                           2. c1xe3                                h4-d8
                                                           3. e3-c5                                 d8-g5
                                                           4. e5-f6                                  g5xb4
                                                           5. a5xc3                                X.

                                                                                  II

                                                           1. ...                                        h4-g5
            Se 1. ... h4-g3   2. e5xh2 h6-g7   3. a5-b4 X.
            Se 1. ... h4-d8   2. e5-c7 d8xb6   3. a7xe3 h6xd2   4. a5xe1 X.
                                                           2. a7-e3                                 g5xd2
                                                           3. a5xe1                           X.

2


                                                                                  I

                                                           1. a3-c1                                 h4-g5
            Se 1. ... h4-d8   2. e5-c7 d8xb6   3. a7xe3 X.
            Se 1. ... h4-e1   2. a7-e3 h6xd2   3. c1xe3 e1-h4   4. e3-f2 X.
            Se 1. ... a5-b4   2. f8xa3 h4-d8/e1   3. a7-e3 X.
                                                           2. f8-g7                                 h6xf8
                                                           3. c1xh6                               X.
                                                                                       
                                                                                  II

                                                           1. ...                                       h6-c1
            Se 1. ... h6-g5   2. a7-f2 h4xe1   3. e5-c3 X.
            Se 1. ... h6-d2   2. f8-e7 h4xd8   3. e5-c7 X.
            Se 1. ... h4-e1   2. e5-c3 e1xb4   3. a3xc5 X.
            Se 1. ... h4-g5   2. f8-g7 h6xf8   3. a7-c5 X.
                                                           2. f8-h6                                  h4-e1
                                                           3. e5-a1                                 e1-h4
                                                           4. a7-e3                                 X.

3


                                                                                  I

                                                           1. a3-c1                                 h4-g5
                                                           2. f8-g7                                 h6xf8
                                                           3. c1xh6                               X.

                                                                                  II

                                                           1. ...                                       h6-g5
            Se 1. ... h6-c1   2. f8-h6 h4-e1   3. e5-f4 c1xg5   4. h6xd2 X.
            Se 1. ... h4-g5   2. f8-g7 h6xf8   3. e5-d6 X.
            Se 1. ... h4-d8   2. e5-c7 d8xb6   3. a5xd8 h6-c1   4. f8-h6 X.
                                                           2. f8-h6                                 g5-d8
            Se 2. ... g5-c1   3. e5-f4 c1xg5   4. h6xf4 X.
                                                           3. h6-e3                                 h4-e1
                                                           4. e5-c3                                 e1xb4
                                                           5. a5xc3                                X.

4

                                                                                  I

                                                           1. f8-h6                                 b8-a7
            Se 1. ... e1-d2   2. a3-b2 c1xa3   3. h6xc1 X.
                                                           2. d4-e5                                e1-a5
            Se 2. ... e1-d2   3. e5-f4 d2xg5   4. d8xh4 X.     
                                                           3. d8-g5                                a5-d8/b6/e1
            Se 3. ... a5-d2   4. a3-b2 c1xa3   5. g5xc1 X.
            Se 3. ... a7-b6   4. g5-f4 c1xg5   5. h6xa7 X.
                                                           4. g5-f4                                 X.

                                                                                  II

                                                           1. ...                                        b8-a7
            Se 1. ... c1-h6   2. a3-c1 b8-a7   3. d4-e3 h6xd2   4. c1xf4 X.
            Se 1. ... e1-d2   2. a3-b2  c1xa3   3. d4-c5 X.
            Se 1. ... e1-a5   2. d4-b6 a5xc7   3. d8xa5 c1-e3/g5  (se 3. ... c1-h6    4. a3-c1 X)  4. a5-c7 X.
            Se 1. ... c1-d2   2. d8-a5  b8-c7  (se 2. ... b8-a7   3. a3-c1 d2-h6   4. d4-c3 e1xb4   5. a5xd2 X;  se 2. ... d2-c1   3. d4-c3 e1xb4   4. a5xc3 X;  se 2. ... d2-h6   3. d4-c3 e1xb4   4. a5xc3 X)   3. a5xd8 X.
                                                           2. d4-e5                                e1-a5
            Se 2. ... c1-h6   3. a3-c1 e1-a5   4. e5-f4 h6xe3   5. c1xh6 a5-c3   6. d8-b6 X.
            Se 2. ... c1-d2   3. d8-a5 d2-c1  (se 3. ... d2-h6   4. e5-c3 X)  4. f8-h6 e1-h4   5. e5-f4 c1xg5   6. h6xc1 h4-f6   7. a5-b6 X.
                                                           3. f8-h6                                a7-b6
            Se 3. ... a5-e1   4. d8-g5 e1-a5/h4   5. g5-f4 X.
            Se 3. ... a5-d2   4. a3-b2 c1xa3   5. h6xc1 X.
                                                           4. e5-f4                                 c1xg5
                                                           5. h6xa7                               a5-c3
                                                           6. a3-b4                                X.

5


                                                                                  I

                                                           1. f8-h6                                 e1-d2
            Se 1. ... e1-h4   2. b8-f4 X.
                                                           2. a3-b2                                c1xa3
                                                           3. h6xc1                               X.

                                                                                  II

                                                           1. ...                                       c1-h6
            Se 1. ... c1-d2   2. b8-g3   3. d4-f6 X.
            Se 1. ... c1-g5   2. a3-b4   3. d4-b6 X.
            Se 1. ... e1-d2   2. a3-b2   3. b8-d6 X.
            Se 1. ... e1-a5   2. d4-b6   3. b8xe5 X.
            Se 1. ... e1-h4   2. d4-f6   3. f8xc5 X.
                                                           2. a3-c1                                 e1-h4
                                                           3. d4-h8                                h4-g5
            Se 3. ... h4-e1   4. b8-f4 X.
                                                           4. f8-g7                                 h6xf8
                                                           5. c1xh6                               X.

6

                                                                                  I

                                                           1. b8-c7                                c1-h6
            Se 1. ... c1-d2   2. c7-g3   3. d4-f6 X.
            Se 1. ... e1-d2   2. a3-b2   3. c7-d6 X.
            Se 1. ... e1-h4   2. d4-f6   3. d8xf6 X.
                                                           2. a3-c1                                 e1-h4
                                                           3. d4-e3                                h6xd2
                                                           4. c1xg5!                              X.

                                                                                  II

                                                           1. ...                                       c1-h6
                                                           2. a3-c1                                 e1-h4
                                                           3. d4-e3                                h6xd2
                                                           4. c1xg5!                              X.

7

                                                                                  I

                                                           1. h2-g3                               a3-f8
            Se 1. ... a3-b4   2. g3-c7   3. d4-f6 X.
            Se 1. ... a5-b4   2. c1-b2   3. g3-f4 X.
            Se 1. ... a5-d8   2. d4-f6   3. h4xf6 X.
                                                           2. c1-a3                                a5-d8
                                                           3. d4-c5                                f8xb4
                                                           4. a3xe7!                              X.

                                                                                  II

                                                           1. ...                                       a3-f8
            Se 1. ... a3-b4   2. h2-c7   3. d4-f6 X.
            Se 1. ... a5-b4   2. c1-b2   3. h2-f4 X.
            Se 1. ... a5-d8   2. d4-f6   3. h4xf6 X.
                                                           2. c1-a3                                a5-d8
            Se 2. ... a5-b4   3. a3xc5   4. d4-b2 X.
                                                           3. d4-c5                                f8xb4
                                                           4. a3xe7!                              X.

8

                                                                I

                                                           1. h6-f8                                 a5-b4
            Se 1. ... a5-e1   2. d4-f2 e1xg3   3. h2xd6 X.
            Se 1. ... a5-d8   2. h2-d6 a3xe7   3. f8xd6 d8-a5   4. d6-c7 a5xd8   5. d4-f6 X.
                                                           2. c1-b2                                a3xc1
                                                           3. f8xa3                                 X.

                                                                                   II

                                                           1. ...                                       a3-f8
            Se 1. ... a3-b4   2. h2-c7 a5xd8   3. d4-f6 X.
            Se 1. ... a5-b4   2. c1-b2 a3xc1   3. h2-f4 X.
            Se 1. ... a5-d8   2. h6-f8 d8-a5   3. h2-d6 a3xe7   4. f8xd6 X.
                                                           2. c1-a3                                 a5-d8
                                                           3. d4-h8                                d8-a5
                                                           4. h2-d6                                f8xb4
                                                           5. a3xd6                               X.

9


                                                                                  I

                                                           1. h6-f4                                 h4-e1
            Se 1. ... a5-d8, ver Variante 1.
                                                           2. a7-d4                                e1-h4
            Se 2. ... a5-d8   3. a3-c5, como no 3º lance da Variante 1.
                                                           3. a3-c5                                 h4-e1
            Se 3. ... a5-d8, ver 4º lance da Variante 1.
                                                           4. e5-f6                                  e1-h4
           Se 4. ... a5-d8   5. f6-h4 d8-a5  (se 5. ... e1-a5   6. d4-e5 a5-e1   7. c5-f2 X)  6. d4-e5 a5-d8   7. c5-f2 X.
                                                           5. f6-d8                                 h8-g7
            Se 5. ... h4-e1   6. d4-e5 e1-h4   7. c5-b6 X.
            Se 5. ... a5-e1   6. f4-g3 h4xf2   7. d4xg1 e1-c3   8. c5-b4 X.
                                                           6. d4xh8                               h4-e1
            Se 6. ... a5-e1   7. h8-e5 e1-a5   8. c5-b6 X.
                                                           7. h8-e5                                e1-h4
                                                           8. c5-b6                                X.

                                                           VARIANTE 1

                                                           1. ...                                       a5-d8
                                                           2. a7-d4                                h4-e1
            Se 2. ... d8-a5   3. a3-c5, como no 3º lance da linha principal.
                                                           3. a3-c5                                 e1-h4
            Se 3. ... d8-a5, ver 4º lance da linha principal.
                                                           4. d4-c3                                d8-a5
            Se 4. ... h4-e1   5. c3-a5 e1-h4   6. e5-d4 h4-e1   7. f4-c7 X.
                                                           5. c3-e1                                 h4-d8
            Se 5. ... a5-d8   6. e5-d4 d8-a5   7. f4-g3 X.
                                                           6. e5-d4                                d8-h4
                                                           7. f4-g3                                 X.

                                                                                  II

                                                           1. ...                                        a5-d8
              Se 1. ... a5-e1, ver Variante A.
            Observação ─ Considerando que essa é a solução II (lance inicial das pretas), preferimos dizer, aqui, excepcionalmente, Variante A, em vez de Variante 1. Assim, evitamos que, ao acompanhar a solução do final, você se confunda ao ver duas variantes com o mesmo número: 1.
                                                           2. h6-f4                                  d8-a5
            Se 2. ... h4-e1  3. a7-g1 d8-a5  (se 3. ... e1-h4   4. g1-d4 e veja o lance 2 da Variante 1)  4. g1-d4 e1-h4  (se 4. ... a5-d8   5. a3-c5 e retorne ao lance 3 da Variante 1)  5. a3-c5  como no lance 3 da linha principal.
                                                           3. a7-g1                                 h4-d8
            Se 3 ... a5-d8   4. g1-d4 d8-a5  (se 4. ... h4-e1   5. a3-c5 X)  5. a3-c5 X.
                                                           4. g1-d4                                d8-h4
            Se 4. ... a5-e1   5. a3-c5 e veja o lance 3 da Variante 1.
                                                           5. a3-c5                                 a5-d8
            Se 5. ... h4-e1   6. e5-f6, como no lance 4 da linha principal.
                                                           6. d4-c3
como no lance 4 da Variante 1.

                                                           VARIANTE A

                                                           1. ...                                       a5-e1
                                                           2. h6-f4                                 e1-a5
            Se 2. ... h4-d8, ver, em II, acima, “Se 2. ... h4-e1”.
                                                           3. a7-g1                                a5-d8
            Se 3. ... h4-e1   4. g1-d4 e1-h4  (se 4. ... a5-d8   5. a3-c5 como no 3º lance da Variante 1)  5. a3-c5 como no 3º lance da linha principal.
            Se 3. ... h4-d8   4. g1-d4 d8-h4  (se 4. ... a5-e1   5. a3-c5 X)  5. a3-c5 X.
                                                           4. g1-d4                                d8-a5
            Se 4. ... h4-e1   5. a3-c5 X.
                                                           5. a3-c5                                 X.


O “PÉ-DE-AVESTRUZ”
1.6.2 O “Pé-de-Avestruz”
e quatro Damas
X duas Damas e duas pedras

            Já publicado nesta seção do blog, na postagem de 2011 ─ JUN. O PÉ-DE-AVESTRUZ VIII ─ Apêndice da Parte VII de “O Pé-de-Avestruz.” Clique aqui.
             (Que coincidência! Em 2011, como em 2016, O PÉ-DE-AVESTRUZ VIII.)





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