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Seninha 12 x 5 ou 15 x 4?


Julio Cezar

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4 minutos atrás, DixieJoe disse:

@Romildo Ramos 

 

Veja ai: Tudo parecido. 

 

A gente precisa de uma estratégia de analise que ajude a montar os jogos com até 20 dezenas, na minha opinião.

Com mais dezenas, o retorno é mais baixo.

 

Eu também ando pensando nessa Seninha... Até agora, sem nenhuma luz.

Não pretendo ficar rico com a seninha, apenas uma renda extra já é o suficiente, já desisti de jogar em lotofacil-dupla sena-mega sena-quina e as demais.

Até no próprio JB já dei uma parada.

Acho que a probabilidade de retorno na seninha é maior.

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7 minutos atrás, DixieJoe disse:

@Romildo Ramos 

 

Temos que encontrar um ponto de partida para montar os melhores jogos.

 

@DixieJoe  a combinação por grupo de dezenas é a mais econômica que conheço, e pelos estudos que andei fazendo em media o mega sai de 4 a 5 colunas, muito difícil sair um resultado em 6 colunas.

Logo acredito que temos que partir deste princípio e achar os grupos, que não precisam ser exatamente de conjuntos com 5 dezenas podem ser com 10 dezenas desde de que respeitando o padrão de no mínimo 4 colunas e com pontuação alta.

 

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Digamos que estes sejam as 15 formações para avaliar, então temos as linhas definidas pela matriz  15-6-5-6

 

 

 

Spoiler
1   1 11 21 31 2 12 22 32 3 13 23 33 4 14 24 34 6 16 26 36 8 18 28 38
2   1 11 21 31 2 12 22 32 3 13 23 33 4 14 24 34 8 18 28 38 46 56 49 59
3   1 11 21 31 2 12 22 32 3 13 23 33 4 14 24 34 9 19 29 39 43 53 44 54
4   1 11 21 31 2 12 22 32 3 13 23 33 6 16 26 36 43 53 44 54 46 56 49 59
5   1 11 21 31 2 12 22 32 3 13 23 33 7 17 27 37 45 58 50 60 47 57 48 55
6   1 11 21 31 2 12 22 32 3 13 23 33 9 19 29 39 10 20 30 40 41 51 42 52
7   1 11 21 31 2 12 22 32 4 14 24 34 6 16 26 36 8 18 28 38 46 56 49 59
8   1 11 21 31 2 12 22 32 4 14 24 34 7 17 27 37 10 20 30 40 47 57 48 55
9   1 11 21 31 2 12 22 32 4 14 24 34 11 21 31 41 45 58 50 60 47 57 48 55
10   1 11 21 31 2 12 22 32 6 16 26 36 7 17 27 37 8 18 28 38 41 51 42 52
11   1 11 21 31 2 12 22 32 6 16 26 36 8 18 28 38 10 20 30 40 45 58 50 60
12   1 11 21 31 2 12 22 32 6 16 26 36 9 19 29 39 43 53 44 54 47 57 48 55
13   1 11 21 31 2 12 22 32 7 17 27 37 9 19 29 39 45 58 50 60 46 56 49 59
14   1 11 21 31 2 12 22 32 8 18 28 38 43 53 44 54 46 56 49 59 47 57 48 55
15   1 11 21 31 2 12 22 32 10 20 30 40 41 51 42 52 46 56 49 59 47 57 48 55
16   1 11 21 31 3 13 23 33 4 14 24 34 6 16 26 36 9 19 29 39 46 56 49 59
17   1 11 21 31 3 13 23 33 4 14 24 34 7 17 27 37 41 51 42 52 47 57 48 55
18   1 11 21 31 3 13 23 33 4 14 24 34 10 20 30 40 45 58 50 60 47 57 48 55
19   1 11 21 31 3 13 23 33 6 16 26 36 7 17 27 37 10 20 30 40 46 56 49 59
20   1 11 21 31 3 13 23 33 6 16 26 36 8 18 28 38 43 53 44 54 46 56 49 59
21   1 11 21 31 3 13 23 33 6 16 26 36 41 51 42 52 45 58 50 60 46 56 49 59
22   1 11 21 31 3 13 23 33 7 17 27 37 8 18 28 38 9 19 29 39 45 58 50 60
23   1 11 21 31 3 13 23 33 7 17 27 37 41 51 42 52 43 53 44 54 47 57 48 55
24   1 11 21 31 3 13 23 33 8 18 28 38 10 20 30 40 41 51 42 52 47 57 48 55
25   1 11 21 31 3 13 23 33 10 20 30 40 43 53 44 54 45 58 50 60 47 57 48 55
26   1 11 21 31 4 14 24 34 6 16 26 36 7 17 27 37 43 53 44 54 45 58 50 60
27   1 11 21 31 4 14 24 34 6 16 26 36 10 20 30 40 41 51 42 52 43 53 44 54
28   1 11 21 31 4 14 24 34 7 17 27 37 8 18 28 38 9 19 29 39 10 20 30 40
29   1 11 21 31 4 14 24 34 7 17 27 37 9 19 29 39 41 51 42 52 46 56 49 59
30   1 11 21 31 4 14 24 34 8 18 28 38 9 19 29 39 41 51 42 52 45 58 50 60
31   1 11 21 31 4 14 24 34 8 18 28 38 43 53 44 54 46 56 49 59 47 57 48 55
32   1 11 21 31 4 14 24 34 9 19 29 39 10 20 30 40 45 58 50 60 46 56 49 59
33   1 11 21 31 6 16 26 36 7 17 27 37 9 19 29 39 10 20 30 40 47 57 48 55
34   1 11 21 31 6 16 26 36 9 19 29 39 41 51 42 52 45 58 50 60 47 57 48 55
35   1 11 21 31 7 17 27 37 8 18 28 38 9 19 29 39 41 51 42 52 43 53 44 54
36   1 11 21 31 7 17 27 37 8 18 28 38 45 58 50 60 46 56 49 59 47 57 48 55
37   1 11 21 31 7 17 27 37 9 19 29 39 10 20 30 40 41 51 42 52 45 58 50 60
38   1 11 21 31 7 17 27 37 9 19 29 39 10 20 30 40 43 53 44 54 46 56 49 59
39   1 11 21 31 8 18 28 38 9 19 29 39 10 20 30 40 41 51 42 52 46 56 49 59
40   1 11 21 31 8 18 28 38 9 19 29 39 10 20 30 40 43 53 44 54 45 58 50 60
41   1 11 21 31 9 19 29 39 41 51 42 52 43 53 44 54 45 58 50 60 46 56 49 59
42   2 12 22 32 3 13 23 33 4 14 24 34 6 16 26 36 43 53 44 54 47 57 48 55
43   2 12 22 32 3 13 23 33 4 14 24 34 7 17 27 37 41 51 42 52 46 56 49 59
44   2 12 22 32 3 13 23 33 4 14 24 34 8 18 28 38 9 19 29 39 47 57 48 55
45   2 12 22 32 3 13 23 33 4 14 24 34 10 20 30 40 45 58 50 60 46 56 49 59
46   2 12 22 32 3 13 23 33 6 16 26 36 7 17 27 37 9 19 29 39 45 58 50 60
47   2 12 22 32 3 13 23 33 6 16 26 36 10 20 30 40 41 51 42 52 47 57 48 55
48   2 12 22 32 3 13 23 33 7 17 27 37 8 18 28 38 10 20 30 40 43 53 44 54
49   2 12 22 32 3 13 23 33 7 17 27 37 8 18 28 38 10 20 30 40 46 56 49 59
50   2 12 22 32 3 13 23 33 8 18 28 38 41 51 42 52 43 53 44 54 45 58 50 60
51   2 12 22 32 3 13 23 33 8 18 28 38 41 51 42 52 45 58 50 60 46 56 49 59
52   2 12 22 32 3 13 23 33 9 19 29 39 43 53 44 54 46 56 49 59 47 57 48 55
53   2 12 22 32 4 14 24 34 6 16 26 36 7 17 27 37 9 19 29 39 10 20 30 40
54   2 12 22 32 4 14 24 34 6 16 26 36 9 19 29 39 41 51 42 52 45 58 50 60
55   2 12 22 32 4 14 24 34 7 17 27 37 8 18 28 38 43 53 44 54 45 58 50 60
56   2 12 22 32 4 14 24 34 7 17 27 37 41 51 42 52 43 53 44 54 46 56 49 59
57   2 12 22 32 4 14 24 34 8 18 28 38 9 19 29 39 46 56 49 59 47 57 48 55
58   2 12 22 32 4 14 24 34 8 18 28 38 10 20 30 40 41 51 42 52 43 53 44 54
59   2 12 22 32 4 14 24 34 10 20 30 40 43 53 44 54 45 58 50 60 46 56 49 59
60   2 12 22 32 6 16 26 36 7 17 27 37 10 20 30 40 43 53 44 54 47 57 48 55
61   2 12 22 32 6 16 26 36 7 17 27 37 45 58 50 60 46 56 49 59 47 57 48 55
62   2 12 22 32 6 16 26 36 8 18 28 38 9 19 29 39 43 53 44 54 46 56 49 59
63   2 12 22 32 6 16 26 36 9 19 29 39 10 20 30 40 41 51 42 52 46 56 49 59
64   2 12 22 32 6 16 26 36 41 51 42 52 43 53 44 54 45 58 50 60 47 57 48 55
65   2 12 22 32 7 17 27 37 8 18 28 38 9 19 29 39 41 51 42 52 47 57 48 55
66   2 12 22 32 7 17 27 37 10 20 30 40 41 51 42 52 43 53 44 54 45 58 50 60
67   2 12 22 32 8 18 28 38 9 19 29 39 10 20 30 40 45 58 50 60 47 57 48 55
68   3 13 23 33 4 14 24 34 6 16 26 36 8 18 28 38 9 19 29 39 47 57 48 55
69   3 13 23 33 4 14 24 34 7 17 27 37 8 18 28 38 10 20 30 40 43 53 44 54
70   3 13 23 33 4 14 24 34 7 17 27 37 8 18 28 38 41 51 42 52 46 56 49 59
71   3 13 23 33 4 14 24 34 7 17 27 37 10 20 30 40 41 51 42 52 45 58 50 60
72   3 13 23 33 4 14 24 34 7 17 27 37 43 53 44 54 45 58 50 60 46 56 49 59
73   3 13 23 33 4 14 24 34 8 18 28 38 10 20 30 40 45 58 50 60 46 56 49 59
74   3 13 23 33 4 14 24 34 8 18 28 38 41 51 42 52 43 53 44 54 45 58 50 60
75   3 13 23 33 4 14 24 34 10 20 30 40 41 51 42 52 43 53 44 54 46 56 49 59
76   3 13 23 33 6 16 26 36 7 17 27 37 8 18 28 38 45 58 50 60 47 57 48 55
77   3 13 23 33 6 16 26 36 7 17 27 37 9 19 29 39 41 51 42 52 43 53 44 54
78   3 13 23 33 6 16 26 36 8 18 28 38 9 19 29 39 10 20 30 40 41 51 42 52
79   3 13 23 33 6 16 26 36 8 18 28 38 9 19 29 39 46 56 49 59 47 57 48 55
80   3 13 23 33 6 16 26 36 9 19 29 39 10 20 30 40 43 53 44 54 45 58 50 60
81   3 13 23 33 6 16 26 36 7 17 27 37 8 18 28 38 46 56 49 59 47 57 48 55
82   3 13 23 33 6 16 26 36 7 17 27 37 10 20 30 40 46 56 49 59 47 57 48 55
83   3 13 23 33 6 16 26 36 8 18 28 38 9 19 29 39 46 56 49 59 47 57 48 55
84   4 14 24 34 6 16 26 36 8 18 28 38 10 20 30 40 45 58 50 60 47 57 48 55
85   4 14 24 34 6 16 26 36 41 51 42 52 45 58 50 60 46 56 49 59 47 57 48 55
86   4 14 24 34 7 17 27 37 9 19 29 39 10 20 30 40 43 53 44 54 46 56 49 59
87   4 14 24 34 7 17 27 37 9 19 29 39 43 53 44 54 45 58 50 60 47 57 48 55
88   4 14 24 34 7 17 27 37 8 18 28 38 9 19 29 39 46 56 49 59 47 57 48 55
89   4 14 24 34 7 17 27 37 8 18 28 38 10 20 30 40 45 58 50 60 47 57 48 55
90   4 14 24 34 7 17 27 37 10 20 30 40 41 51 42 52 43 53 44 54 47 57 48 55
91   6 16 26 36 7 17 27 37 41 51 42 52 43 53 44 54 45 58 50 60 46 56 49 59
92   6 16 26 36 8 18 28 38 9 19 29 39 43 53 44 54 43 53 44 54 47 57 48 55
93   6 16 26 36 8 18 28 38 10 20 30 40 41 51 42 52 45 58 50 60 47 57 48 55
94   6 16 26 36 8 18 28 38 11 21 31 41 43 53 44 54 45 58 50 60 46 57 48 55
95   6 16 26 36 8 18 28 38 10 20 30 40 41 51 42 52 45 58 50 60 46 56 49 59
96   6 16 26 36 9 19 29 39 10 20 30 40 41 51 42 52 45 58 50 60 47 57 48 55
97   6 16 26 36 9 19 29 39 41 51 42 52 45 58 50 60 46 56 49 59 47 57 48 55
98   7 17 27 37 10 20 30 40 43 53 44 54 45 58 50 60 46 56 49 59 46 56 49 59

 

Edited by Julio cezar Rocha Brito
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@Julio cezar Rocha Brito 

 

Julio Cezar,

 

Matriz com Garantia = Condição (5-6, no exemplo acima), não acerta SENA.

 

Precisaria usar matriz do tipo CONDIÇÃO = GARANTIA.   Seja 6-6 ou 5-5

Com 6-6 voce garante acertar Sena, mas terá muitos jogos.

Com 5-5 voce não garante mais que 5, mas terá muitas chances de pegar SENA, de vez em quando.

 

 

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@Romildo Ramos 

 vc se refere a que diferença

os exemplos são conjecturações estruturais

A pesquisa inicial  é a amigabilidade para as melhores definições das formações dos grupos, o que nos cabe primeiro é observar as respostas de cada sugestão para as formações de 4 e ou de 5 dezenas

Edited by Julio cezar Rocha Brito
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2 minutos atrás, DixieJoe disse:

@Julio cezar Rocha Brito 

 

Julio Cezar,

 

Matriz com Garantia = Condição (5-6, no exemplo acima), não acerta SENA.

 

Precisaria usar matriz do tipo CONDIÇÃO = GARANTIA.   Seja 6-6 ou 5-5

Com 6-6 voce garante acertar Sena, mas terá muitos jogos.

Com 5-5 voce não garante mais que 5, mas terá muitas chances de pegar SENA, de vez em quando.

 

 

@DixieJoe  Exatamente, e jogar com 20 números para acertar 6 é bem diferente de jogar com 6 para acertar 6.

Outro fator é que não existe premiações menores que a máxima na seninha ou na quiniha.

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1 minuto atrás, Julio cezar Rocha Brito disse:

@Romildo Ramos 

 vcserefere?

@Julio cezar Rocha Brito Me refiro á isso:

 

60-40-6-6-=13 o mínimo teórico para este fechamento são 13 jogos com 40 dezenas cada.

Porém a seninha aqui paga R$ 8,00 por R$ 1,00.

Já para jogos com 20 números paga-se R$ 650,00 por R$ 1,00.

E jogos com 14 dezenas paga-se aqui R$ 6.000,00 por cada R$ 1,00 .

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@RobSmith 

 

Sim, RobSmith.

 

E com uma lista de 4507 linhas de 20 temos 66962 senas aproximadamente.

Os 2 piores sorteios tiveram 3 senas. Todos os demais sorteios tiveram de 4 até 134 linhas com senas.

 

Usei a matriz de 5069 que você mencionou e que está disponível no La Jolla Covering Repository. (Rei das melhores matrizes de desdobramento....)

 

O que fiz foi pegar essa matriz e ENRIQUECER cada linha para aumentar a quantidade de SENAS (num programa que criei e que ficou quase 20 horas rodando...) nessas 4507 linhas no periodo de 2158 sorteios. Essa redução na quantidade de linhas RICAS é porque no final do processamento, apareceram linhas de 20 exatamente iguais. Retirei elas. 

 

Então, cada linha teve de 10 a 20 senas.

 

Mas ainda é muita coisa. Precisamos de idéias para reduzir (filtrar) essas 4507 linhas para umas 100 no máximo, não acha?

 

Alguma sugestão?

 

------------

 

Para quem tiver curiosidade: O programa é até simples. A lógica básica é esta;

 

Pega uma linha de 20 dezenas e vai tirando 1 dezena e colocando cada uma das 40 dezenas de "Fora" e medindo contra todos os sorteios. SE acertou mais senas, faz novamente.... Porisso a demora. É muito processamento porque testa cada uma extensivamente.

 

------------

 

Com certeza, deve ter outra lógica que consiga melhores linhas em quantidades de senas (no final, as melhores linhas que obtive usando a lógica acima teve 20 senas).

 

-------------

 

Agora preciso investir tempo (muito tempo, com certeza) para obter as Linhas com o Melhor Desempenho (aquelas que, juntas, acertem em 90% dos sorteios diferentes).

A idéia é a esperar que essas melhores linhas consigam premiar com SENAS novamente nos próximos 5-10 sorteios.

 

Aceito sugestões

 

 

 

 

 

 

 

 

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Minha "lógica":

 

sem 6 até 2150 sobram 1008 de 20:

 

Spoiler

01,02,03,04,05,06,08,13,14,15,18,21,22,33,40,41,46,55,57,59
01,02,03,04,05,08,10,14,18,20,21,23,29,37,38,40,41,46,47,55
01,02,03,04,05,12,13,17,18,21,24,25,26,28,31,37,41,48,53,55
01,02,03,04,05,12,18,19,20,21,22,23,26,28,35,36,37,41,48,55
01,02,03,04,06,07,08,09,11,16,17,25,26,30,35,39,43,45,57,59
01,02,03,04,06,08,09,15,19,25,29,30,34,35,39,40,46,47,57,58
01,02,03,04,06,09,12,13,20,22,24,30,32,35,36,39,49,56,57,60
01,02,03,04,06,11,13,17,23,24,28,30,31,34,35,36,39,42,47,60
01,02,03,04,07,08,09,14,15,23,24,25,28,35,36,39,43,46,51,57
01,02,03,04,07,09,10,12,27,29,32,33,35,37,39,43,44,50,57,58
01,02,03,04,07,12,13,15,19,20,32,35,39,40,43,45,46,56,59,60
01,02,03,04,08,09,11,12,15,17,25,31,32,35,39,42,46,48,53,57
01,02,03,04,08,11,15,17,23,25,28,29,35,37,39,45,46,50,58,59
01,02,03,04,08,13,15,24,25,27,29,31,35,36,39,42,44,46,58,60
01,02,03,04,08,15,19,23,25,28,31,35,38,39,40,41,42,46,52,54
01,02,03,04,11,12,13,16,17,20,26,29,32,34,35,39,47,56,58,60
01,02,03,04,12,13,19,23,24,28,29,32,35,36,39,40,48,53,58,60
01,02,03,04,13,14,19,20,24,34,35,36,38,39,40,47,51,52,56,60
01,02,03,04,13,15,20,22,23,28,34,35,39,46,47,48,49,53,56,60
01,02,03,05,06,07,09,11,15,18,21,32,39,41,43,44,45,49,50,55
01,02,03,05,06,09,14,18,21,31,33,35,36,40,49,51,53,55,57,60
01,02,03,05,06,10,16,18,21,22,25,27,29,32,36,47,52,53,54,55
01,02,03,05,06,13,16,17,18,21,23,30,37,40,43,49,54,55,58,60
01,02,03,05,07,13,14,16,17,18,19,21,36,41,43,45,46,49,50,55
01,02,03,05,09,12,18,21,22,28,29,32,38,39,45,49,50,55,56,58
01,02,03,05,12,13,16,18,21,26,28,33,34,41,48,49,52,55,57,59
01,02,04,05,06,08,10,13,15,17,18,20,21,22,24,32,38,40,55,57
01,02,04,05,09,11,13,17,18,20,21,22,24,30,34,52,54,55,58,60
01,02,04,05,10,13,15,17,18,20,21,23,24,29,32,37,38,47,50,55
01,02,04,05,10,18,19,21,24,30,33,36,38,39,44,51,54,55,56,59
01,02,04,06,07,08,11,12,15,17,24,25,29,30,32,35,36,43,46,58
01,02,04,06,07,08,11,17,25,30,31,35,38,41,42,43,48,52,53,54
01,02,04,06,07,16,20,26,27,29,30,31,34,35,42,43,44,47,56,58
01,02,04,06,08,09,12,14,15,25,30,32,35,37,45,46,50,51,57,59
01,02,04,06,08,10,12,14,19,20,25,29,30,32,33,35,40,51,56,58
01,02,04,06,08,11,13,16,17,24,25,26,27,30,35,36,38,44,52,60
01,02,04,06,08,11,15,16,17,25,26,30,34,35,37,46,47,48,50,53
01,02,04,06,08,12,15,19,22,25,30,32,35,40,41,46,48,49,53,54
01,02,04,06,08,12,16,19,24,25,26,30,32,34,35,36,40,45,47,59
01,02,04,06,09,10,13,16,19,22,26,30,33,35,37,40,49,50,57,60
01,02,04,06,09,11,15,17,20,22,23,28,30,35,38,46,49,52,56,57
01,02,04,06,10,11,13,15,17,19,30,31,33,35,40,42,45,46,59,60
01,02,04,06,10,14,15,22,24,27,30,33,34,35,36,44,46,47,49,51
01,02,04,07,08,10,11,17,20,25,29,33,35,41,43,45,54,56,58,59
01,02,04,07,08,12,14,16,23,25,26,28,29,32,35,43,45,51,58,59
01,02,04,07,08,14,22,23,25,28,31,34,35,38,42,43,47,49,51,52
01,02,04,07,09,14,16,26,27,31,35,37,42,43,44,48,50,51,53,57
01,02,04,07,09,16,20,23,26,27,28,35,38,41,43,44,52,54,56,57
01,02,04,07,10,11,14,16,17,24,26,33,34,35,36,41,43,47,51,54
01,02,04,07,10,15,16,24,26,27,33,35,36,37,43,44,45,46,50,59
01,02,04,07,11,13,15,16,17,20,23,26,28,31,35,42,43,46,56,60
01,02,04,07,12,13,20,22,29,31,32,35,42,43,48,49,53,56,58,60
01,02,04,07,13,16,20,26,34,35,38,43,45,47,48,52,53,56,59,60
01,02,04,08,09,10,11,13,16,17,20,25,26,27,33,35,44,56,57,60
01,02,04,08,09,10,12,16,20,25,26,31,32,33,35,42,45,56,57,59
01,02,04,08,09,10,13,20,24,25,27,33,34,35,36,44,47,56,57,60
01,02,04,08,09,16,25,26,29,34,35,37,41,45,47,50,54,57,58,59
01,02,04,08,09,19,22,23,24,25,28,34,35,36,40,41,47,49,54,57
01,02,04,08,10,13,16,20,25,26,27,33,34,35,41,44,47,54,56,60
01,02,04,08,10,15,16,19,20,25,26,33,34,35,40,41,46,47,54,56
01,02,04,08,11,17,19,22,23,25,28,31,35,37,40,42,48,49,50,53
01,02,04,08,13,16,23,25,26,27,28,29,35,37,44,48,50,53,58,60
01,02,04,08,15,16,23,24,25,26,28,29,34,35,36,38,46,47,52,58
01,02,04,09,10,13,15,23,28,31,33,34,35,37,42,46,47,50,57,60
01,02,04,09,11,14,15,16,17,20,26,27,29,35,44,46,51,56,57,58
01,02,04,09,12,13,19,20,32,34,35,37,40,47,48,50,53,56,57,60
01,02,04,09,12,14,20,22,23,27,28,32,35,44,48,49,51,53,56,57
01,02,04,10,11,15,17,23,24,27,28,33,35,36,41,44,46,48,53,54
01,02,04,10,11,16,17,22,23,26,27,28,33,34,35,44,45,47,49,59
01,02,04,11,12,13,17,19,20,24,31,32,35,36,40,41,42,54,56,60
01,02,04,11,13,17,20,23,28,34,35,37,38,41,47,50,52,54,56,60
01,02,04,12,13,14,15,16,20,24,26,32,35,36,46,48,51,53,56,60
01,02,04,12,13,14,20,22,32,34,35,41,45,47,49,51,54,56,59,60
01,02,04,13,16,20,22,24,26,31,34,35,36,37,42,47,49,50,56,60
01,02,04,20,22,23,28,29,35,38,41,45,48,49,52,53,54,56,58,59
01,02,05,06,07,11,15,16,18,20,21,26,30,35,46,47,51,53,55,57
01,02,05,06,07,12,13,17,18,19,21,23,25,26,31,36,37,39,45,55
01,02,05,06,11,14,18,21,25,34,35,36,40,41,43,47,51,55,59,60
01,02,05,07,10,13,17,18,19,21,30,31,36,38,45,54,55,57,58,60
01,02,05,07,13,17,18,19,21,27,29,33,36,42,45,47,51,55,56,59
01,02,05,08,09,11,12,18,19,21,23,24,29,39,42,50,53,55,57,60
01,02,05,08,09,11,12,18,19,21,23,26,27,29,36,37,40,42,47,55
01,02,05,08,09,11,12,18,21,23,24,26,37,39,40,44,55,57,58,60
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01,05,09,15,17,18,19,21,25,26,29,33,37,40,42,45,46,51,52,55
01,05,09,16,18,19,21,22,24,26,29,36,37,39,40,42,55,57,58,60
01,05,10,12,18,21,22,24,32,36,37,44,46,49,51,52,53,54,55,59
01,05,10,14,18,21,22,23,26,27,32,33,36,39,43,52,53,54,55,56
01,05,10,17,18,19,21,25,26,29,30,37,40,42,43,45,46,50,55,58
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01,05,11,13,18,21,23,26,31,32,33,36,40,42,45,46,47,52,55,56
01,05,12,15,17,18,20,21,22,27,31,35,38,40,42,43,44,55,56,57
01,05,12,16,18,20,21,25,28,32,35,36,37,41,50,51,52,55,59,60
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01,05,13,16,18,19,21,23,32,33,35,39,40,43,47,48,53,54,55,58
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01,05,16,18,19,21,25,27,30,31,32,34,35,36,42,50,52,53,54,55
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02,03,07,08,09,14,16,25,26,29,34,35,38,39,43,47,51,52,57,58
02,03,07,08,15,19,24,25,29,35,36,37,38,39,40,43,46,50,52,58
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02,03,08,15,16,23,24,25,26,28,31,35,36,37,39,42,46,48,50,53
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02,03,09,10,11,17,27,29,31,33,34,35,39,42,44,45,47,57,58,59
02,03,09,10,13,15,23,28,29,33,35,38,39,46,48,52,53,57,58,60
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02,03,09,12,20,23,24,27,28,31,32,35,36,39,41,42,44,54,56,57
02,03,09,13,16,19,20,22,26,34,35,39,40,45,47,49,56,57,59,60
02,03,10,12,13,15,31,32,33,35,37,38,39,42,45,46,50,52,59,60
02,03,10,13,24,29,33,35,36,37,39,41,45,48,50,53,54,58,59,60
02,03,11,13,15,17,19,20,31,34,35,37,39,40,42,46,47,50,56,60
02,03,12,14,16,20,26,27,29,31,32,35,39,42,44,48,51,53,56,58
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02,03,13,15,20,29,34,35,38,39,41,45,46,47,52,54,56,58,59,60
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02,03,20,24,27,29,35,36,37,39,41,44,45,48,50,53,54,56,58,59
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02,04,05,06,10,12,18,20,21,26,27,33,38,42,48,53,55,58,59,60
02,04,05,06,13,15,18,21,23,26,27,29,30,34,38,39,45,48,55,56
02,04,05,06,14,15,18,19,21,28,29,31,36,42,44,49,52,55,57,60
02,04,05,07,08,10,11,14,18,21,26,28,29,30,36,37,41,42,49,55
02,04,05,07,09,11,14,16,18,21,24,26,29,30,32,47,51,53,54,55
02,04,05,07,18,21,25,30,37,38,39,40,41,46,47,52,53,55,56,60
02,04,05,10,13,16,18,19,21,42,45,46,47,48,49,50,51,54,55,59
02,04,05,10,13,18,19,21,24,27,29,33,35,41,44,45,54,55,56,60
02,04,05,11,16,18,19,20,21,24,30,31,38,40,44,48,50,51,55,59
02,05,06,07,08,12,14,16,18,21,22,27,34,39,41,48,54,55,57,59
02,05,06,07,08,15,17,18,19,21,28,29,30,37,44,46,49,55,59,60
02,05,06,07,10,12,18,20,21,24,27,33,40,42,43,50,52,55,58,60
02,05,06,07,11,17,18,21,22,25,30,38,39,40,42,46,47,49,53,55
02,05,06,07,11,17,18,21,25,35,37,38,39,42,46,48,52,53,55,56
02,05,06,07,12,13,18,20,21,22,23,24,31,35,36,37,39,41,48,55
02,05,06,07,15,18,19,20,21,24,25,27,28,29,34,44,46,49,55,60
02,05,06,07,18,19,21,27,32,36,37,38,40,41,42,48,49,53,55,56
02,05,06,08,09,12,17,18,19,20,21,24,25,28,30,38,44,51,55,59
02,05,06,08,11,14,18,21,22,25,31,36,41,43,49,55,56,57,59,60
02,05,06,08,13,14,15,18,20,21,22,23,24,32,38,41,47,55,57,59
02,05,06,09,10,13,16,18,19,21,23,25,26,45,46,49,50,54,55,60
02,05,06,09,16,18,21,22,26,28,32,38,41,43,44,45,47,51,55,58
02,05,06,10,11,16,18,19,20,21,24,25,28,33,40,44,50,54,55,56
02,05,06,11,14,16,21,24,26,30,32,33,37,38,41,42,43,51,52,60
02,05,06,11,18,19,21,22,25,33,35,40,41,46,49,53,55,56,58,60
02,05,07,08,10,11,14,16,18,21,24,25,28,29,32,33,37,42,55,58
02,05,07,08,14,16,18,20,21,23,26,31,34,38,39,41,47,55,56,60
02,05,07,08,18,21,22,23,24,31,34,37,40,47,48,49,54,55,56,57
02,05,07,09,13,15,18,21,23,24,29,36,39,40,41,43,46,50,52,55
02,05,07,10,11,17,18,19,20,21,23,26,28,32,40,52,54,55,57,58
02,05,07,10,11,17,18,19,21,27,32,35,39,40,41,46,49,52,55,59
02,05,07,10,13,18,21,24,25,29,30,33,34,36,39,41,42,51,55,58
02,05,07,10,16,18,21,22,25,30,35,36,37,40,47,48,49,52,55,56
02,05,07,12,15,17,18,20,21,24,27,28,29,30,34,37,38,44,51,55
02,05,08,09,13,14,18,19,21,24,27,32,35,37,41,43,44,45,52,55
02,05,08,09,14,15,17,18,21,26,28,30,31,35,41,42,50,55,56,60
02,05,08,09,14,18,19,20,21,23,26,28,30,35,38,41,42,43,47,55
02,05,08,09,16,18,19,20,21,28,30,31,33,38,39,47,50,55,56,60
02,05,08,11,12,14,15,17,18,21,33,36,41,44,45,47,49,50,52,55
02,05,08,11,12,18,21,22,24,26,29,36,37,40,42,44,50,55,57,60
02,05,08,11,12,18,21,25,27,36,44,45,48,49,51,52,53,54,55,58
02,05,08,11,14,17,18,20,21,27,33,36,45,47,48,49,50,51,53,55
02,05,08,11,15,18,20,21,23,27,33,41,44,47,48,51,52,53,54,55
02,05,08,13,14,18,21,24,25,26,28,30,32,39,41,42,51,53,55,58
02,05,08,13,16,18,21,24,28,29,30,32,33,34,37,39,49,53,55,58
02,05,08,14,15,18,20,21,23,27,36,41,44,45,49,50,51,54,55,58
02,05,08,17,18,21,25,27,33,36,38,41,44,45,47,51,53,54,55,58
02,05,09,10,14,18,21,24,27,31,32,33,35,37,41,43,45,48,55,60
02,05,09,10,17,18,20,21,23,30,34,40,42,44,46,48,53,55,56,57
02,05,09,10,18,20,21,23,25,30,32,41,42,43,44,45,53,55,57,59
02,05,09,13,16,18,21,25,27,28,37,38,39,46,50,52,53,55,56,57
02,05,09,14,18,21,22,23,24,25,28,31,32,35,38,42,45,55,58,59
02,05,10,11,15,16,18,21,22,23,24,25,27,28,33,35,45,46,55,60
02,05,11,12,13,15,18,19,21,28,31,34,37,40,42,45,47,51,55,59
02,05,11,12,17,18,20,21,25,33,38,41,47,48,49,51,52,53,55,58
02,05,11,14,17,18,21,23,27,38,44,45,47,48,49,50,51,52,53,55
02,05,12,13,16,18,19,21,29,30,31,37,38,45,46,49,50,55,57,58
02,05,13,16,18,19,20,21,22,27,28,29,33,45,46,49,50,53,55,56
02,05,13,18,19,21,24,30,35,38,41,42,44,45,47,51,55,57,58,59
02,05,14,15,18,19,21,22,23,30,32,36,37,39,44,46,51,54,55,56
02,05,14,18,19,21,22,23,24,26,30,32,38,43,44,51,52,53,55,59
02,06,07,08,10,13,20,22,25,27,29,30,33,35,43,44,49,56,58,60
02,06,07,08,10,16,19,20,23,25,26,28,30,33,35,40,43,45,56,59
02,06,07,13,20,23,28,30,31,34,35,37,42,43,47,48,50,53,56,60
02,06,08,09,10,12,20,23,25,28,30,32,33,35,37,38,50,52,56,57
02,06,08,09,11,17,19,23,25,28,30,34,35,37,40,45,47,50,57,59
02,06,08,10,12,15,20,24,25,30,32,33,35,36,41,45,46,54,56,59
02,06,08,10,13,15,20,23,25,27,28,29,30,33,35,44,46,56,58,60
02,06,08,10,20,25,29,30,31,33,35,38,42,45,48,52,53,56,58,59
02,06,08,11,13,15,17,23,25,27,28,29,30,34,35,44,46,47,58,60
02,06,08,11,13,17,19,25,27,30,35,37,40,41,44,48,50,53,54,60
02,06,08,12,13,15,24,25,27,30,32,35,36,41,44,45,46,54,59,60
02,06,08,13,14,15,16,25,26,27,30,31,35,37,42,44,46,50,51,60
02,06,09,10,14,27,29,30,33,34,35,37,44,47,48,50,51,53,57,58
02,06,09,12,15,20,22,27,29,30,31,32,35,42,44,46,49,56,57,58
02,06,09,13,14,15,20,24,29,30,35,36,38,46,51,52,56,57,58,60
02,06,09,13,15,20,22,30,34,35,37,41,46,47,49,50,54,56,57,60
02,06,10,11,12,16,17,26,27,29,30,32,33,35,37,44,45,50,58,59
02,06,10,13,19,22,29,30,33,34,35,40,41,45,47,49,54,58,59,60
02,06,10,16,22,26,29,30,31,33,35,37,41,42,48,49,50,53,54,58
02,06,10,16,23,24,26,27,28,30,33,34,35,36,37,41,44,47,50,54
02,06,11,12,13,14,17,20,24,30,32,34,35,36,37,47,50,51,56,60
02,06,11,12,13,17,20,22,29,30,32,35,38,41,49,52,54,56,58,60
02,06,11,13,15,17,20,22,24,30,31,35,36,42,46,48,49,53,56,60
02,06,12,16,19,20,26,27,30,31,32,35,38,40,41,42,44,52,54,56
02,06,13,14,16,19,20,22,24,26,30,35,36,40,41,49,51,54,56,60
02,06,13,19,23,24,28,30,31,35,36,40,41,42,45,48,53,54,59,60
02,07,08,09,10,13,19,20,25,27,33,35,38,40,43,44,52,56,57,60
02,07,08,09,11,12,16,17,25,26,29,31,32,35,41,42,43,54,57,58
02,07,08,09,11,13,16,17,25,26,27,34,35,37,43,44,47,50,57,60
02,07,08,09,11,14,17,24,25,29,35,36,37,43,45,50,51,57,58,59
02,07,08,09,12,22,23,24,25,28,29,32,35,36,38,43,49,52,57,58
02,07,08,09,13,14,23,25,27,28,29,31,35,42,43,44,51,57,58,60
02,07,08,09,15,22,23,25,28,31,35,41,42,43,46,48,49,53,54,57
02,07,08,10,11,13,16,17,20,25,26,27,33,35,37,43,44,50,56,60
02,07,08,10,11,17,20,22,23,25,28,33,35,38,43,48,49,52,53,56
02,07,08,10,12,15,16,20,25,26,29,32,33,35,38,43,46,52,56,58
02,07,08,11,14,17,19,25,34,35,37,38,40,43,47,48,50,51,52,53
02,07,08,14,15,16,22,24,25,26,29,31,35,36,42,43,46,49,51,58
02,07,08,15,16,25,26,31,34,35,37,38,41,42,43,46,47,50,52,54
02,07,09,10,15,24,27,29,33,34,35,36,41,43,44,46,47,54,57,58
02,07,09,12,13,15,20,24,31,32,35,36,37,42,43,46,50,56,57,60
02,07,09,13,14,20,22,24,34,35,36,43,47,48,49,51,53,56,57,60
02,07,09,13,15,19,20,23,28,34,35,38,40,43,46,47,52,56,57,60
02,07,09,14,15,20,22,27,35,37,38,43,44,46,49,50,51,52,56,57
02,07,09,19,22,27,29,31,34,35,37,40,42,43,44,47,49,50,57,58
02,07,10,12,16,22,23,26,27,28,31,32,33,35,37,42,43,44,49,50
02,07,10,13,15,19,33,35,38,40,41,43,45,46,48,52,53,54,59,60
02,07,10,14,16,19,26,27,29,33,35,37,40,41,43,44,50,51,54,58
02,07,11,15,17,20,27,29,31,35,37,42,43,44,46,48,50,53,56,58
02,07,12,13,20,23,28,31,32,35,38,41,42,43,45,52,54,56,59,60
02,07,13,14,29,31,34,35,41,42,43,45,47,48,51,53,54,58,59,60
02,07,13,19,20,24,34,35,36,37,40,41,43,45,47,50,54,56,59,60
02,08,09,10,13,16,20,23,24,25,26,27,28,33,35,36,44,56,57,60
02,08,09,10,13,20,23,25,27,28,29,33,35,44,48,53,56,57,58,60
02,08,09,10,15,16,20,22,23,24,25,26,28,33,35,36,46,49,56,57
02,08,09,13,15,16,22,23,24,25,26,27,28,35,36,44,46,49,57,60
02,08,09,14,19,22,25,35,37,40,41,45,48,49,50,51,53,54,57,59
02,08,09,19,24,25,29,34,35,36,38,40,45,47,48,52,53,57,58,59
02,08,10,11,13,15,17,20,25,27,31,33,35,41,42,44,46,54,56,60
02,08,10,12,13,14,20,23,25,27,28,29,32,33,35,44,51,56,58,60
02,08,10,12,13,15,20,25,27,29,32,33,35,37,44,46,50,56,58,60
02,08,10,12,15,19,20,23,25,28,31,32,33,35,40,42,46,48,53,56
02,08,10,13,14,15,16,20,25,26,27,29,33,35,44,46,51,56,58,60
02,08,10,13,15,20,25,27,29,33,34,35,38,44,46,47,52,56,58,60
02,08,10,13,16,20,24,25,26,27,33,34,35,36,37,44,47,50,56,60
02,08,10,13,19,20,22,25,27,33,34,35,40,44,45,47,49,56,59,60
02,08,10,13,19,20,23,25,27,28,29,33,35,40,41,44,54,56,58,60
02,08,10,13,20,22,25,27,29,33,34,35,41,44,47,49,54,56,58,60
02,08,10,13,20,25,27,29,31,33,35,41,42,44,45,54,56,58,59,60
02,08,10,14,16,20,24,25,26,29,33,34,35,36,45,47,51,56,58,59
02,08,11,12,15,16,17,22,23,25,26,28,29,32,35,46,48,49,53,58
02,08,11,14,15,16,17,19,25,26,31,35,40,41,42,46,48,51,53,54
02,08,13,14,16,24,25,26,27,29,34,35,36,44,45,47,51,58,59,60
02,08,14,16,19,23,25,26,28,34,35,38,40,41,45,47,51,52,54,59
02,09,10,11,13,16,17,19,24,26,33,35,36,40,41,45,54,57,59,60
02,09,10,11,13,17,22,23,28,29,33,35,37,41,49,50,54,57,58,60
02,09,10,12,22,24,27,32,33,34,35,36,37,44,45,47,49,50,57,59
02,09,10,13,19,22,23,28,31,33,35,38,40,42,45,49,52,57,59,60
02,09,10,14,16,22,26,27,31,33,34,35,41,42,44,47,49,51,54,57
02,09,11,17,20,22,23,27,28,29,35,37,41,44,49,50,54,56,57,58
02,09,12,13,14,19,20,23,24,28,32,35,36,40,45,51,56,57,59,60
02,09,13,20,22,24,29,31,35,36,41,42,45,49,54,56,57,58,59,60
02,09,19,20,22,23,27,28,31,35,38,40,42,44,45,49,52,56,57,59
02,10,11,16,17,26,27,29,33,34,35,38,41,44,47,48,52,53,54,58
02,10,13,16,19,26,31,33,34,35,37,40,42,45,47,48,50,53,59,60
02,11,12,13,14,15,17,20,29,31,32,35,42,45,46,51,56,58,59,60
02,11,12,13,16,17,20,26,31,32,35,37,38,42,48,50,52,53,56,60
02,11,12,17,20,22,27,31,32,35,41,42,44,45,48,49,53,54,56,59
02,11,13,14,17,19,22,24,31,34,35,36,40,42,45,47,49,51,59,60
02,11,13,15,17,19,20,22,23,28,35,40,41,45,46,49,54,56,59,60
02,13,14,16,20,22,23,26,28,31,35,42,45,48,49,51,53,56,59,60
02,13,15,16,19,20,24,26,31,35,36,38,40,42,45,46,52,56,59,60
02,16,19,22,23,24,26,27,28,29,35,36,37,40,44,45,49,50,58,59
03,04,05,06,07,08,11,13,17,18,20,21,27,28,31,35,47,50,55,58
03,04,05,06,07,09,13,16,18,21,25,28,29,31,35,40,42,55,57,60
03,04,05,06,07,10,13,18,21,28,30,31,32,34,35,43,46,55,56,59
03,04,05,06,09,16,17,18,21,25,27,28,31,40,41,45,47,55,58,60
03,04,05,06,10,13,18,21,25,32,42,45,46,48,49,51,52,54,55,59
03,04,05,06,18,21,22,26,27,28,31,33,37,38,42,47,51,54,55,58
03,04,05,07,14,17,18,21,30,31,32,38,39,43,48,51,52,55,57,59
03,04,05,07,15,18,20,21,25,30,31,32,33,41,43,45,49,54,55,59
03,04,05,07,16,18,19,21,22,24,26,29,30,31,32,40,43,55,59,60
03,04,05,08,09,15,18,21,22,24,33,34,35,42,44,47,48,53,55,56
03,04,05,08,17,18,19,21,26,27,34,44,45,47,49,53,54,55,56,57
03,04,05,09,11,15,18,20,21,27,32,33,39,41,42,44,53,55,59,60
03,04,05,09,12,18,21,23,24,25,32,34,35,36,38,39,40,54,55,58
03,04,05,10,11,12,15,16,17,18,21,27,33,36,37,39,40,46,55,60
03,04,05,10,11,12,18,21,22,24,25,26,27,36,45,46,51,52,55,57
03,04,05,11,14,16,17,18,19,21,25,28,32,37,44,47,54,55,56,57
03,04,05,14,16,18,20,21,22,24,30,38,43,44,48,50,53,54,55,60
03,04,05,14,16,18,20,21,30,38,39,41,43,44,49,50,53,54,55,57
03,05,06,07,08,12,16,18,21,22,26,30,33,40,41,42,45,54,55,59
03,05,06,07,09,13,14,18,20,21,26,37,40,44,48,49,55,56,58,59
03,05,06,07,11,16,17,18,20,21,25,28,40,42,47,50,55,57,58,60
03,05,06,07,12,15,17,18,20,21,25,28,30,34,38,46,49,51,55,59
03,05,06,08,10,11,12,18,21,23,26,30,31,32,34,35,40,44,55,58
03,05,06,08,10,15,16,18,21,24,36,37,38,42,43,45,48,53,55,56
03,05,06,09,10,11,12,15,18,20,21,26,32,38,39,41,44,55,58,60
03,05,06,10,12,18,20,21,22,23,26,29,30,31,33,42,48,51,55,58
03,05,06,10,14,17,18,20,21,30,31,32,33,34,35,45,48,49,51,55
03,05,06,12,14,16,18,21,23,29,31,33,35,37,41,42,44,49,51,55
03,05,06,12,14,16,18,21,24,25,26,33,37,42,43,44,47,50,55,56
03,05,06,12,16,18,21,23,24,26,29,33,35,37,41,50,51,55,56,59
03,05,06,12,16,18,21,24,25,26,29,31,33,41,42,43,47,49,55,59
03,05,06,14,16,18,21,23,24,26,27,29,31,43,44,46,50,51,55,59
03,05,06,14,18,21,24,25,31,33,35,41,42,43,46,49,51,55,56,59
03,05,07,08,09,18,20,21,22,25,26,29,32,33,36,43,54,55,57,60
03,05,07,08,10,14,16,18,21,24,28,32,36,37,41,42,49,51,53,55
03,05,07,09,10,13,14,15,18,20,21,25,30,35,48,49,52,55,56,59
03,05,07,09,12,18,19,20,21,24,25,27,28,34,38,44,46,51,55,60
03,05,07,09,13,17,18,20,21,27,29,35,41,42,45,47,55,57,58,60
03,05,07,10,13,17,18,21,22,30,33,35,38,41,45,51,54,55,56,59
03,05,07,11,13,18,20,21,22,25,26,34,36,38,42,46,50,51,55,57
03,05,07,11,16,17,18,21,22,23,26,30,38,40,48,50,51,53,55,59
03,05,07,12,15,18,21,22,26,29,32,41,43,45,47,48,49,55,58,60
03,05,07,12,16,18,19,20,21,24,25,32,33,38,40,43,47,54,55,58
03,05,07,15,18,21,23,27,28,32,36,37,41,42,43,45,49,53,55,57
03,05,08,09,11,13,15,18,21,24,32,34,35,36,39,40,41,44,52,55
03,05,08,12,16,18,19,20,21,22,27,29,30,31,32,33,45,49,55,58
03,05,08,14,18,19,21,25,26,28,32,35,38,44,45,47,53,55,57,59
03,05,09,10,13,14,15,16,18,20,21,26,27,36,40,44,47,55,58,59
03,05,09,10,13,16,18,19,21,23,25,32,39,46,47,48,51,54,55,59
03,05,09,10,14,15,16,18,21,25,27,30,40,47,49,52,55,56,58,59
03,05,09,13,16,18,19,21,22,28,29,30,31,32,37,39,46,55,56,57
03,05,09,18,19,21,25,28,29,30,33,37,44,45,46,50,52,53,55,58
03,05,09,18,20,21,24,25,27,32,33,34,35,39,40,47,48,51,53,55
03,05,10,11,17,18,21,27,31,33,34,36,37,39,40,48,49,50,55,60
03,05,10,13,17,18,21,25,28,31,33,34,38,41,43,48,49,52,55,59
03,05,10,13,18,19,21,22,28,31,34,37,39,40,42,43,53,55,59,60
03,05,10,15,16,18,21,27,29,30,32,34,35,38,42,47,50,52,54,55
03,05,11,18,19,20,21,24,30,34,37,41,45,46,47,48,50,55,58,59
03,05,12,13,14,15,18,19,21,22,28,34,37,42,43,45,47,53,55,60
03,05,12,14,16,18,21,24,27,29,31,33,37,39,44,46,49,50,55,56
03,05,12,14,18,21,23,24,25,29,35,39,41,42,44,49,50,55,56,59
03,05,12,14,18,21,23,26,27,29,35,37,41,42,43,44,46,47,49,55
03,05,12,16,18,21,23,24,25,27,33,35,37,39,43,46,47,49,51,55
03,05,13,15,17,18,21,22,23,29,32,35,37,43,47,49,53,55,58,60
03,05,17,18,19,21,22,23,27,31,38,40,43,44,48,50,52,55,59,60
03,06,07,09,10,12,15,20,30,32,33,38,39,41,43,46,52,54,56,57
03,06,07,09,11,15,17,22,29,30,31,38,39,42,43,46,49,52,57,58
03,06,07,09,11,15,17,23,28,29,30,34,37,39,43,46,47,50,57,58
03,06,07,09,12,16,23,26,28,30,32,34,39,43,45,47,48,53,57,59
03,06,07,10,12,16,19,20,22,26,29,30,32,33,39,40,43,49,56,58
03,06,07,11,14,16,17,22,23,24,26,28,29,30,36,39,43,49,51,58
03,06,07,11,16,17,19,24,26,29,30,36,39,40,41,43,48,53,54,58
03,06,07,12,14,19,22,24,30,32,34,36,39,40,41,43,47,49,51,54
03,06,07,12,22,23,28,29,30,31,32,34,38,39,42,43,47,49,52,58
03,06,08,10,12,19,23,25,27,28,30,32,33,34,39,40,41,44,47,54
03,06,08,10,14,22,25,27,29,30,31,33,34,39,42,44,47,49,51,58
03,06,08,11,14,16,17,19,20,25,26,27,30,34,39,40,44,47,51,56
03,06,08,11,17,20,23,25,27,28,30,38,39,41,44,45,52,54,56,59
03,06,09,10,14,20,24,30,33,34,36,39,41,45,47,51,54,56,57,59
03,06,09,10,20,22,29,30,33,37,38,39,45,49,50,52,56,57,58,59
03,06,09,11,12,14,16,17,19,26,30,32,34,39,40,45,47,51,57,59
03,06,09,11,12,16,17,24,26,30,32,36,39,41,45,48,53,54,57,59
03,06,09,11,14,15,17,19,22,29,30,34,39,40,46,47,49,51,57,58
03,06,09,13,14,24,27,30,34,36,39,41,44,45,47,51,54,57,59,60
03,06,09,14,24,29,30,31,34,36,37,38,39,42,47,50,51,52,57,58
03,06,10,15,20,22,23,24,28,29,30,33,36,39,41,46,49,54,56,58
03,06,11,12,15,17,19,22,30,31,32,38,39,40,41,42,46,49,52,54
03,06,11,14,15,16,17,24,26,30,31,34,36,39,42,46,47,48,51,53
03,06,11,14,16,17,22,23,26,28,29,30,39,41,48,49,51,53,54,58
03,06,11,14,17,19,22,24,30,34,36,39,40,45,47,48,49,51,53,59
03,06,11,14,17,19,24,29,30,31,36,38,39,40,42,45,51,52,58,59
03,06,11,14,17,22,23,24,28,30,31,34,36,39,42,45,47,49,51,59
03,06,12,14,15,22,29,30,32,34,38,39,41,46,47,49,51,52,54,58
03,06,12,14,23,24,28,30,31,32,36,37,38,39,41,42,50,51,52,54
03,06,13,14,19,27,29,30,38,39,40,41,44,48,51,52,53,54,58,60
03,06,15,16,23,26,28,29,30,34,37,39,41,46,47,48,50,53,54,58
03,07,08,14,20,24,25,27,31,34,36,37,39,42,43,44,47,50,51,56
03,07,09,11,12,14,16,17,22,26,32,39,41,43,45,49,51,54,57,59
03,07,09,11,14,17,19,23,28,31,38,39,40,41,42,43,51,52,54,57
03,07,09,11,15,17,23,28,29,31,34,39,42,43,46,47,48,53,57,58
03,07,09,11,17,22,23,24,28,31,34,36,39,41,42,43,47,49,54,57
03,07,09,12,14,16,19,23,26,28,32,38,39,40,43,45,51,52,57,59
03,07,09,12,15,16,23,26,28,32,37,39,41,43,45,46,50,54,57,59
03,07,09,12,16,26,29,32,38,39,41,43,45,48,52,53,54,57,58,59
03,07,09,13,19,20,23,28,29,39,40,41,43,45,54,56,57,58,59,60
03,07,11,12,13,17,27,29,32,38,39,43,44,45,48,52,53,58,59,60
03,07,11,12,14,15,17,22,23,28,32,38,39,41,43,46,49,51,52,54
03,07,11,14,15,17,22,34,37,39,41,43,45,46,47,49,50,51,54,59
03,07,11,14,17,23,28,29,31,38,39,42,43,45,48,51,52,53,58,59
03,07,11,15,17,23,24,28,31,36,37,38,39,42,43,45,46,50,52,59
03,07,11,16,17,22,23,26,28,31,34,37,39,42,43,47,48,49,50,53
03,07,12,13,19,27,31,32,37,39,40,41,42,43,44,48,50,53,54,60
03,07,12,14,19,22,23,28,31,32,34,39,40,41,42,43,47,49,51,54
03,07,13,15,16,22,23,26,27,28,38,39,43,44,45,46,49,52,59,60
03,07,14,16,19,22,24,26,29,31,36,37,39,40,42,43,49,50,51,58
03,08,09,10,12,19,25,27,29,31,32,33,38,39,40,42,44,52,57,58
03,08,09,11,12,13,16,17,20,22,25,26,32,38,39,49,52,56,57,60
03,08,09,13,15,20,23,25,28,29,38,39,46,48,52,53,56,57,58,60
03,08,10,14,16,25,26,27,33,34,37,39,41,44,47,48,50,51,53,54
03,08,13,14,16,19,22,25,26,31,37,38,39,40,42,49,50,51,52,60
03,08,13,15,16,20,22,25,26,29,34,37,39,46,47,49,50,56,58,60
03,08,13,15,19,20,23,24,25,28,34,36,39,40,45,46,47,56,59,60
03,08,13,20,24,25,29,36,37,39,41,45,48,50,53,54,56,58,59,60
03,08,16,19,20,24,25,26,29,31,34,36,39,40,41,42,47,54,56,58
03,09,10,11,14,15,17,19,20,33,38,39,40,45,46,51,52,56,57,59
03,09,10,12,20,22,29,32,33,34,39,41,47,48,49,53,54,56,57,58
03,09,11,12,15,16,17,19,26,29,32,39,40,41,45,46,54,57,58,59
03,09,11,12,16,17,23,26,28,32,34,38,39,41,45,47,52,54,57,59
03,09,11,14,15,17,19,23,28,34,39,40,41,46,47,48,51,53,54,57
03,09,12,14,16,19,24,26,29,32,36,39,40,45,48,51,53,57,58,59
03,09,12,16,23,24,26,28,32,36,37,38,39,45,48,50,52,53,57,59
03,09,13,14,19,23,27,28,31,34,39,40,42,44,47,48,51,53,57,60
03,09,13,15,22,24,27,31,34,36,38,39,42,44,46,47,49,52,57,60
03,10,11,12,16,17,19,20,23,26,28,31,32,33,39,40,42,45,56,59
03,10,11,12,17,20,22,24,29,31,32,33,36,37,39,42,49,50,56,58
03,10,12,13,20,22,23,27,28,29,32,33,39,44,45,49,56,58,59,60
03,10,12,14,15,20,23,28,32,33,39,41,45,46,48,51,53,54,56,59
03,10,20,22,23,28,31,33,34,37,39,41,42,45,47,49,50,54,56,59
03,11,12,13,17,22,24,27,29,31,32,36,37,39,42,44,49,50,58,60
03,11,12,17,19,22,23,28,29,31,32,34,38,39,40,42,47,49,52,58
03,11,13,14,17,19,23,24,27,28,36,37,39,40,41,44,50,51,54,60
03,11,13,17,19,22,23,27,28,29,34,38,39,40,44,47,49,52,58,60
03,12,13,15,16,19,26,27,32,34,38,39,40,44,46,47,48,52,53,60
03,12,14,15,24,29,31,32,34,36,37,38,39,42,46,47,50,51,52,58
03,13,15,16,23,24,26,27,28,31,36,37,39,42,44,46,48,50,53,60
04,05,06,07,08,18,21,22,23,27,30,32,35,36,44,46,50,55,56,58
04,05,06,08,10,13,16,18,19,21,26,29,45,46,47,48,51,52,55,60
04,05,06,08,11,14,16,18,20,21,22,31,34,41,43,48,49,50,53,55
04,05,06,08,12,16,18,20,21,23,26,28,32,34,43,46,49,50,52,55
04,05,06,08,12,18,21,23,25,26,28,31,32,40,43,49,50,52,53,55
04,05,06,08,14,15,18,21,22,30,36,37,42,44,45,49,50,55,56,60
04,05,06,08,17,18,21,26,29,30,36,41,42,44,49,50,52,55,56,57
04,05,06,10,11,14,15,17,18,21,25,26,34,36,41,42,44,54,55,60
04,05,06,10,11,18,19,21,22,29,35,36,37,44,45,49,52,55,57,59
04,05,06,10,12,18,21,22,25,27,29,37,48,51,53,54,55,57,58,59
04,05,06,10,14,15,17,18,21,24,28,30,31,41,45,49,52,55,56,59
04,05,06,10,14,18,21,22,26,28,29,30,31,37,42,55,56,57,59,60
04,05,06,11,12,14,15,16,18,20,21,23,26,34,40,47,48,49,53,55
04,05,06,12,18,21,22,25,30,33,37,38,42,47,48,53,55,56,59,60
04,05,06,16,18,20,21,25,27,28,29,31,42,47,48,50,55,57,58,60
04,05,06,18,21,22,27,28,32,36,37,40,44,45,46,50,51,54,55,58
04,05,06,18,21,23,28,29,30,33,37,47,48,53,54,55,56,58,59,60
04,05,07,08,10,12,18,20,21,24,26,27,33,34,38,42,45,50,52,55
04,05,07,08,11,13,14,18,21,24,26,28,33,37,39,42,49,51,55,58
04,05,07,08,16,18,21,24,25,26,29,30,32,33,36,41,42,49,55,58
04,05,07,09,10,11,18,19,20,21,22,29,30,34,36,38,45,52,55,57
04,05,07,09,10,12,18,19,21,22,23,27,33,34,44,47,49,50,55,57
04,05,07,10,12,13,18,19,21,23,27,28,30,32,34,44,47,50,55,60
04,05,07,10,13,15,17,18,20,21,28,30,32,34,38,45,48,52,54,55
04,05,07,16,17,18,21,23,24,26,27,29,30,32,38,44,48,50,52,55
04,05,08,09,11,15,18,20,21,22,23,25,31,32,37,40,46,48,53,55
04,05,08,09,12,14,18,21,23,25,28,31,32,40,47,48,49,50,53,55
04,05,08,11,13,18,21,24,28,29,32,33,34,39,41,42,51,53,55,60
04,05,08,11,14,17,18,21,26,28,35,37,44,45,49,55,56,57,59,60
04,05,08,12,13,15,18,21,22,23,25,28,29,38,42,54,55,56,58,59
04,05,08,13,14,18,19,21,24,27,29,31,33,35,37,52,54,55,56,60
04,05,08,13,17,18,19,20,21,23,25,30,34,36,40,52,53,54,55,57
04,05,08,14,15,16,18,20,21,26,31,34,37,46,48,49,50,52,53,55
04,05,08,14,16,17,18,19,21,23,24,27,30,31,36,40,52,53,55,59
04,05,08,15,18,20,21,22,27,32,35,39,40,42,44,45,51,55,56,60
04,05,09,10,11,18,19,20,21,23,29,35,36,37,38,39,43,47,49,55
04,05,09,10,17,18,21,26,28,33,37,40,42,43,44,45,46,51,55,58
04,05,09,11,12,15,18,21,22,23,25,31,37,40,43,46,49,52,53,55
04,05,09,11,16,18,20,21,22,29,33,34,35,39,44,45,47,52,55,59
04,05,09,12,13,14,18,19,21,29,31,32,37,41,43,44,48,54,55,56
04,05,10,11,16,18,21,22,23,29,33,35,36,39,43,45,47,52,55,57
04,05,10,12,18,21,22,23,26,31,33,42,47,48,53,54,55,56,57,58
04,05,10,14,16,18,20,21,22,28,30,38,41,48,53,54,55,57,58,60
04,05,10,15,17,18,21,25,26,28,29,30,37,42,44,45,50,52,55,58
04,05,10,18,20,21,24,28,38,39,41,43,46,49,50,53,54,55,57,60
04,05,12,13,15,16,18,21,24,30,34,37,38,42,44,45,47,48,50,55
04,05,12,13,18,19,21,27,28,30,34,40,41,44,47,49,50,51,55,57
04,05,12,14,16,18,20,21,22,23,34,37,40,43,46,48,49,52,53,55
04,05,12,18,20,21,22,25,26,29,30,31,33,37,47,54,55,58,59,60
04,05,12,18,20,21,23,26,27,28,33,37,48,51,55,56,57,58,59,60
04,05,14,16,17,18,21,26,27,28,32,34,36,37,38,44,45,47,54,55
04,05,14,16,18,20,21,22,23,25,28,31,34,37,43,48,50,52,55,60
04,05,14,18,21,22,23,24,32,35,36,39,40,42,45,50,54,55,56,58
04,05,15,18,19,21,28,30,35,37,40,42,44,45,46,50,51,55,58,60
05,06,07,08,11,13,14,18,21,22,27,30,39,40,42,44,45,46,54,55
05,06,07,08,14,15,18,20,21,22,23,27,32,36,39,48,54,55,56,60
05,06,07,08,15,16,18,21,23,24,27,32,36,38,41,48,49,55,56,57
05,06,07,09,10,11,18,21,22,25,29,38,39,43,44,45,47,49,54,55
05,06,07,09,10,14,17,18,21,24,27,30,31,39,40,45,47,49,53,55
05,06,07,09,10,18,20,21,22,23,27,28,29,32,33,36,39,43,52,55
05,06,07,09,14,18,19,20,21,29,34,37,41,48,50,53,54,55,58,59
05,06,07,09,14,18,19,21,23,24,28,30,41,45,47,52,53,55,58,59
05,06,07,10,11,14,17,18,21,24,25,40,42,43,44,47,49,51,54,55
05,06,07,10,16,18,19,21,23,24,36,37,38,40,42,43,45,49,55,57
05,06,07,11,16,18,20,21,22,23,34,36,37,38,39,47,49,55,57,59
05,06,07,13,14,18,19,20,21,31,32,34,38,41,48,49,54,55,56,59
05,06,07,13,15,17,18,21,22,32,34,44,45,51,52,53,55,57,58,60
05,06,07,14,18,19,21,26,29,31,32,38,40,41,44,48,50,53,55,59
05,06,08,09,12,13,18,20,21,25,28,35,39,41,42,45,47,55,57,58
05,06,08,09,12,14,18,21,23,26,28,32,34,43,46,48,49,50,52,55
05,06,08,10,11,14,17,18,21,22,29,30,31,40,42,44,45,49,55,60
05,06,08,10,13,18,21,25,28,33,34,36,37,39,41,42,45,49,55,58
05,06,08,11,12,18,21,23,24,31,32,34,38,39,41,48,54,55,57,60
05,06,08,13,17,18,21,24,29,30,39,40,42,43,44,47,49,53,54,55
05,06,08,14,15,18,21,27,30,32,40,42,46,50,51,54,55,56,58,60
05,06,09,10,11,13,14,17,18,21,25,27,38,39,42,43,44,46,53,55
05,06,09,11,13,15,17,18,19,21,22,28,30,32,36,48,49,54,55,57
05,06,09,11,18,19,20,21,22,23,35,38,43,44,45,47,52,55,57,59
05,06,09,12,13,15,18,21,26,28,30,33,35,36,42,47,49,54,55,57
05,06,09,13,18,19,21,22,24,26,27,28,30,32,35,42,43,55,57,59
05,06,10,12,13,14,16,17,18,19,21,26,29,36,38,46,55,56,58,60
05,06,10,12,18,21,22,24,26,28,29,34,38,47,48,51,55,56,58,60
05,06,11,12,13,15,18,19,21,24,26,30,35,42,48,49,50,55,57,59
05,06,11,12,13,18,19,21,22,24,27,32,33,36,48,49,54,55,57,59
05,06,11,13,18,21,22,26,27,32,33,35,36,42,43,48,50,54,55,57
05,06,11,14,15,17,18,21,22,28,29,30,31,36,37,41,44,55,56,57
05,06,11,14,18,21,28,29,30,34,36,37,41,45,46,50,52,55,59,60
05,06,11,16,18,20,21,23,29,30,35,36,37,38,39,43,45,52,55,59
05,06,12,13,16,18,19,21,26,28,34,35,36,48,51,52,55,56,58,60
05,06,12,18,21,25,26,27,28,30,31,42,48,51,53,54,55,56,58,60
05,06,13,15,16,17,18,21,22,25,31,32,34,39,44,50,51,55,56,57
05,06,13,15,17,18,21,22,25,31,33,34,39,44,50,52,55,58,59,60
05,06,13,18,21,22,24,25,31,32,33,44,45,51,52,53,55,57,58,59
05,06,14,18,21,24,25,27,29,31,35,39,41,42,43,44,46,47,49,55
05,06,15,16,17,18,21,24,31,32,33,39,45,52,53,55,56,58,59,60
05,06,17,18,21,24,31,32,33,34,39,44,45,50,51,53,55,57,59,60
05,07,08,09,14,15,17,18,20,21,23,26,28,33,39,42,43,55,56,60
05,07,08,10,14,18,21,25,26,28,29,32,33,36,37,39,41,53,55,58
05,07,08,11,12,13,14,18,20,21,23,24,39,48,49,55,56,57,59,60
05,07,08,12,15,18,19,21,25,26,29,31,32,33,36,40,45,47,55,59
05,07,08,16,18,19,21,24,27,28,36,42,43,45,48,49,51,53,55,56
05,07,09,10,12,18,20,21,22,24,26,31,36,41,42,46,50,51,52,55
05,07,09,12,13,18,20,21,23,24,30,33,39,40,43,46,48,51,55,58
05,07,09,12,16,18,19,21,25,27,34,35,39,43,48,51,53,54,55,58
05,07,09,12,16,18,21,28,31,35,36,42,44,49,51,52,53,54,55,60
05,07,09,13,18,19,21,26,31,37,38,40,41,42,50,53,54,55,56,59
05,07,10,11,17,18,19,20,21,23,27,29,31,32,35,46,49,51,55,58
05,07,10,11,18,19,20,21,26,27,28,31,35,39,49,51,52,54,55,58
05,07,10,12,14,18,19,21,25,26,30,31,36,38,41,45,46,50,55,57
05,07,10,13,17,18,21,24,27,29,30,38,39,40,42,44,45,47,54,55
05,07,11,14,17,18,21,22,24,27,29,30,31,38,40,43,44,45,53,55
05,07,11,14,18,19,21,28,29,33,36,45,46,47,48,50,53,54,55,59
05,07,11,15,18,21,25,26,34,35,36,42,43,44,48,51,54,55,59,60
05,07,11,16,18,21,25,26,28,30,34,36,37,39,42,49,51,53,55,58
05,07,12,13,16,18,20,21,23,24,27,32,34,38,39,40,47,48,54,55
05,07,12,14,15,17,18,21,22,27,29,34,35,37,41,43,53,55,57,58
05,07,13,15,16,17,18,21,24,32,34,39,44,45,50,52,53,55,58,59
05,07,13,15,18,21,23,26,27,28,37,41,43,46,47,52,53,55,57,60
05,07,18,19,21,22,23,29,34,35,37,39,43,45,47,49,52,55,57,59
05,08,09,11,15,16,18,21,22,25,26,31,37,40,46,49,50,52,53,55
05,08,09,13,14,16,17,18,19,21,23,24,25,34,35,36,40,46,52,55
05,08,09,13,18,21,22,27,29,30,31,36,38,39,45,46,47,49,53,55
05,08,09,16,18,21,27,29,30,32,33,38,46,49,50,52,55,56,57,58
05,08,10,11,13,14,16,18,21,24,26,28,29,34,36,42,51,53,55,58
05,08,10,12,13,16,17,18,19,21,22,26,28,29,35,38,40,51,55,56
05,08,10,13,17,18,19,21,24,29,34,35,36,38,47,51,55,56,58,60
05,08,10,17,18,19,21,22,25,27,34,37,39,41,43,48,50,55,58,59
05,08,13,14,16,18,20,21,23,24,27,31,34,36,37,40,54,55,57,59
05,08,13,14,17,18,21,24,25,27,30,31,40,42,45,46,49,53,54,55
05,08,17,18,19,21,23,28,31,33,34,38,39,41,42,43,47,50,55,60
05,08,18,19,20,21,22,25,27,30,32,37,39,45,46,48,50,55,56,58
05,09,10,11,13,14,15,16,18,21,27,32,33,38,42,46,55,58,59,60
05,09,10,11,15,16,18,21,23,24,25,31,32,35,37,38,42,55,58,60
05,09,10,11,15,18,21,25,29,32,38,43,47,49,50,51,55,56,58,60
05,09,10,11,16,18,21,29,33,34,38,39,43,47,49,52,54,55,57,59
05,09,10,12,18,21,23,25,29,32,36,40,44,45,46,48,53,55,57,59
05,09,10,15,18,21,29,30,33,37,40,42,43,44,46,50,51,52,55,58
05,09,11,12,17,18,19,21,26,27,28,30,35,36,42,43,48,49,54,55
05,09,11,13,14,17,18,21,22,25,29,30,31,39,44,46,47,49,54,55
05,09,11,13,15,17,18,19,21,22,24,26,30,33,42,48,49,54,55,57
05,09,11,18,21,27,28,34,35,39,41,42,44,48,51,52,53,55,56,57
05,09,18,19,21,25,26,28,30,35,40,42,43,44,45,51,52,53,55,58
05,10,11,13,15,18,19,20,21,23,24,25,29,35,49,50,53,55,56,60
05,10,11,14,15,17,18,21,23,25,36,40,41,44,47,48,51,54,55,59
05,10,11,15,16,18,21,27,29,33,34,40,46,48,49,50,54,55,56,60
05,10,11,17,18,19,21,23,26,28,29,31,32,39,41,46,51,54,55,57
05,10,12,13,14,18,19,21,22,24,26,29,34,36,38,46,51,52,55,56
05,10,13,18,19,21,22,23,25,27,28,33,34,40,41,44,49,50,55,60
05,10,14,16,17,18,19,21,22,24,26,29,38,40,47,48,51,52,55,60
05,10,14,16,18,20,21,22,28,35,38,39,43,44,46,48,50,53,55,57
05,10,14,18,21,26,31,32,33,35,36,39,40,45,47,48,50,53,55,57
05,10,16,17,18,20,21,23,25,29,30,34,36,40,42,46,53,55,57,59
05,10,18,19,21,22,23,29,33,34,36,37,38,39,43,44,49,52,55,59
05,10,18,21,27,29,30,31,33,38,42,47,51,54,55,56,57,58,59,60
05,11,12,14,15,17,18,20,21,23,27,33,36,38,41,44,52,53,55,58
05,11,12,15,18,19,21,22,24,26,30,32,33,36,43,48,49,54,55,59
05,11,12,16,18,19,21,30,31,34,35,42,44,45,48,49,51,55,58,59
05,11,13,14,16,18,21,22,23,31,32,36,39,41,47,48,54,55,56,57
05,11,13,15,16,18,19,21,22,23,25,28,29,41,42,44,46,54,55,56
05,11,13,18,20,21,23,24,26,31,32,36,38,46,47,49,52,55,56,60
05,11,16,18,19,21,25,26,27,28,34,35,44,45,49,53,54,55,56,60
05,11,18,21,26,28,30,32,33,38,40,42,45,46,47,49,52,55,56,60
05,12,13,14,16,17,18,19,21,22,28,29,36,46,47,48,51,52,55,56
05,12,17,18,19,21,26,30,34,36,39,43,44,49,51,52,53,54,55,56
05,13,15,17,18,21,22,24,25,31,32,34,50,51,53,55,56,58,59,60
05,13,16,18,21,22,31,32,33,39,44,45,50,52,53,55,56,57,58,60
05,14,15,17,18,21,22,26,29,37,41,42,45,46,49,52,55,56,57,60
05,14,15,18,19,21,25,28,29,31,32,36,39,43,44,46,47,48,55,57
05,14,18,19,21,23,24,25,28,30,33,34,36,37,46,52,53,54,55,59
05,18,21,22,23,25,28,29,30,31,37,47,48,51,54,55,56,57,58,59
06,07,08,09,10,11,17,23,24,25,27,28,30,33,36,41,43,44,54,57
06,07,08,09,10,16,22,25,26,27,30,31,33,38,42,43,44,49,52,57
06,07,08,09,11,13,17,19,20,25,29,30,38,40,43,52,56,57,58,60
06,07,08,09,20,25,27,30,31,37,41,42,43,44,45,50,54,56,57,59
06,07,08,10,11,13,15,16,17,22,25,26,30,33,41,43,46,49,54,60
06,07,08,10,12,19,24,25,27,30,32,33,36,38,40,43,44,48,52,53
06,07,08,10,15,19,25,27,29,30,31,33,40,41,42,43,44,46,54,58
06,07,08,11,15,16,17,20,22,25,26,27,30,41,43,44,46,49,54,56
06,07,08,12,13,15,19,20,25,30,32,34,37,40,43,46,47,50,56,60
06,07,08,12,13,22,24,25,30,31,32,34,36,41,42,43,47,49,54,60
06,07,09,12,14,15,16,22,23,26,28,30,32,43,45,46,49,51,57,59
06,07,09,12,14,16,26,30,32,34,38,41,43,45,47,51,52,54,57,59
06,07,09,12,16,19,24,26,30,32,36,38,40,43,45,48,52,53,57,59
06,07,09,13,15,19,22,24,27,30,36,40,43,44,45,46,49,57,59,60
06,07,10,13,16,24,26,29,30,33,36,38,41,43,45,52,54,58,59,60
06,07,10,13,20,22,24,27,29,30,33,36,37,43,44,49,50,56,58,60
06,07,11,12,13,16,17,23,26,27,28,30,32,34,38,43,44,47,52,60
06,07,11,12,14,15,17,23,24,28,30,31,32,36,37,42,43,46,50,51
06,07,11,13,17,22,23,27,28,29,30,31,42,43,44,45,49,58,59,60
06,07,11,14,15,16,17,23,26,28,29,30,38,41,43,46,51,52,54,58
06,07,11,14,16,17,19,23,26,28,29,30,34,40,43,47,48,51,53,58
06,07,11,14,16,17,23,26,28,29,30,31,37,41,42,43,50,51,54,58
06,07,11,14,17,23,24,28,30,34,36,38,41,43,45,47,51,52,54,59
06,07,11,15,17,19,30,31,34,38,40,42,43,45,46,47,48,52,53,59
06,07,11,16,17,19,22,26,29,30,31,38,40,42,43,48,49,52,53,58
06,07,13,14,16,22,26,27,30,34,37,43,44,45,47,49,50,51,59,60
06,07,13,14,19,23,24,27,28,29,30,34,36,40,43,44,47,51,58,60
06,07,14,15,19,30,31,37,38,40,42,43,45,46,48,50,51,52,53,59
06,07,14,22,24,30,31,34,36,41,42,43,45,47,48,49,51,53,54,59
06,07,19,23,24,28,29,30,31,36,38,40,41,42,43,45,52,54,58,59
06,08,09,10,12,14,25,27,30,31,32,33,41,42,44,48,51,53,54,57
06,08,09,10,19,22,23,25,27,28,29,30,33,40,44,48,49,53,57,58
06,08,09,14,15,19,20,23,25,27,28,30,40,41,44,46,51,54,56,57
06,08,09,15,16,20,25,26,27,30,34,38,44,45,46,47,52,56,57,59
06,08,10,11,12,15,17,23,25,28,30,31,32,33,37,41,42,46,50,54
06,08,10,13,15,22,23,25,28,30,33,37,45,46,48,49,50,53,59,60
06,08,10,22,23,24,25,27,28,30,33,34,36,38,44,45,47,49,52,59
06,08,11,14,17,20,24,25,27,29,30,31,36,41,42,44,51,54,56,58
06,08,12,13,14,15,16,25,26,29,30,32,34,41,46,47,51,54,58,60
06,08,13,16,22,25,26,29,30,31,37,41,42,48,49,50,53,54,58,60
06,08,13,19,20,22,25,29,30,34,40,41,45,47,49,54,56,58,59,60
06,09,10,12,14,19,20,22,30,32,33,34,38,40,47,49,51,52,56,57
06,09,11,12,13,17,24,27,30,31,32,36,38,42,44,45,52,57,59,60
06,09,11,12,14,15,16,17,26,30,32,37,41,45,46,50,51,54,57,59
06,09,11,12,16,17,19,24,26,29,30,32,36,37,40,45,50,57,58,59
06,09,11,15,17,24,30,31,34,36,37,38,41,42,46,47,50,52,54,57
06,09,12,14,16,19,22,24,26,30,32,36,40,41,45,49,51,54,57,59
06,09,12,15,16,22,24,26,30,32,36,37,38,45,46,49,50,52,57,59
06,09,14,15,22,24,30,31,34,36,38,42,46,47,48,49,51,52,53,57
06,10,11,16,17,19,20,22,26,30,33,38,40,45,48,49,52,53,56,59
06,10,12,13,15,16,22,24,26,30,32,33,36,37,38,46,49,50,52,60
06,10,12,14,20,22,24,29,30,32,33,36,45,48,49,51,53,56,58,59
06,10,13,14,15,22,30,31,33,38,41,42,45,46,49,51,52,54,59,60
06,11,12,14,15,17,19,22,30,32,34,38,40,46,47,48,49,51,52,53
06,11,12,17,19,23,28,29,30,31,32,34,37,40,42,47,48,50,53,58
06,11,13,15,17,19,24,27,30,34,36,38,40,41,44,46,47,52,54,60
06,11,14,15,16,17,20,23,24,26,27,28,30,36,44,45,46,51,56,59
06,11,15,16,17,19,23,26,28,30,31,34,37,38,40,42,46,47,50,52
06,11,17,19,24,29,30,36,37,38,40,41,45,48,50,52,53,54,58,59
06,16,20,22,26,27,29,30,31,37,41,42,44,48,49,50,53,54,56,58
07,08,09,15,20,24,25,27,29,34,36,41,43,44,46,47,54,56,57,58
07,08,10,13,23,25,28,29,33,34,37,38,43,45,47,50,52,58,59,60
07,08,10,14,19,22,25,27,29,33,38,40,43,44,45,49,51,52,58,59
07,08,13,14,15,16,20,23,25,26,28,34,43,46,47,48,51,53,56,60
07,08,13,14,20,22,23,24,25,28,36,41,43,45,49,51,54,56,59,60
07,09,10,12,14,15,19,20,29,32,33,40,43,46,48,51,53,56,57,58
07,09,11,12,14,16,17,23,26,28,32,34,37,43,45,47,50,51,57,59
07,09,11,13,14,17,24,27,29,36,37,43,44,45,50,51,57,58,59,60
07,09,11,14,17,29,31,34,37,41,42,43,47,48,50,51,53,54,57,58
07,09,12,13,14,15,19,27,29,32,40,43,44,46,48,51,53,57,58,60
07,09,12,14,15,16,26,32,37,38,43,45,46,48,50,51,52,53,57,59
07,09,13,14,19,24,27,31,36,38,40,41,42,43,44,51,52,54,57,60
07,09,14,15,19,22,34,37,40,41,43,46,47,48,49,50,51,53,54,57
07,10,11,13,17,20,22,23,27,28,33,38,43,44,48,49,52,53,56,60
07,10,12,14,15,20,24,32,33,34,36,38,43,45,46,47,51,52,56,59
07,10,12,16,24,26,27,29,32,33,34,36,37,43,44,47,48,50,53,58
07,11,12,14,17,23,28,29,32,34,37,38,43,47,48,50,51,52,53,58
07,11,12,15,17,19,22,29,31,32,40,42,43,45,46,48,49,53,58,59
07,11,13,14,17,19,27,34,37,38,40,43,44,47,48,50,51,52,53,60
07,11,14,16,17,19,22,24,26,31,34,36,38,40,42,43,47,49,51,52
07,12,13,14,15,24,27,32,34,36,38,43,44,45,46,47,51,52,59,60
07,12,13,14,16,22,26,27,32,38,41,43,44,48,49,51,52,53,54,60
07,13,22,24,27,31,36,37,38,42,43,44,45,48,49,50,52,53,59,60
07,14,19,24,29,31,36,38,40,41,42,43,45,48,51,52,53,54,58,59
08,09,10,11,16,17,23,25,26,27,28,29,33,38,44,45,52,57,58,59
08,09,10,14,25,27,31,33,34,37,38,42,44,45,47,50,51,52,57,59
08,09,11,13,14,17,20,23,24,25,28,34,36,38,47,51,52,56,57,60
08,09,13,19,20,22,23,25,28,31,38,40,42,45,49,52,56,57,59,60
08,09,14,15,16,19,24,25,26,27,34,36,37,40,44,46,47,50,51,57
08,10,11,13,14,15,17,25,33,34,37,41,45,46,47,50,51,54,59,60
08,10,11,13,14,16,17,22,24,25,26,33,36,37,48,49,50,51,53,60
08,10,11,13,16,17,25,26,29,33,34,38,41,47,48,52,53,54,58,60
08,10,11,15,16,17,24,25,26,27,29,33,36,37,41,44,46,50,54,58
08,10,11,15,17,19,22,23,25,27,28,33,40,41,44,45,46,49,54,59
08,10,11,17,22,25,27,29,33,34,37,44,45,47,48,49,50,53,58,59
08,10,12,16,19,25,26,27,29,32,33,40,41,44,45,48,53,54,58,59
08,10,12,16,22,25,26,29,31,32,33,34,38,42,45,47,49,52,58,59
08,10,12,22,23,24,25,27,28,32,33,36,37,41,44,48,49,50,53,54
08,11,12,13,17,20,22,25,31,32,41,42,45,48,49,53,54,56,59,60
08,11,15,16,17,19,20,23,25,26,27,28,37,38,40,44,46,50,52,56
08,11,15,17,23,25,27,28,31,34,38,42,44,45,46,47,48,52,53,59
08,11,16,17,20,25,26,27,29,34,38,41,44,47,48,52,53,54,56,58
08,12,13,14,15,20,23,24,25,28,29,32,36,37,46,50,51,56,58,60
08,12,16,20,23,24,25,26,27,28,32,36,38,44,45,48,52,53,56,59
09,10,11,12,14,15,17,20,22,24,32,33,36,41,46,49,51,54,56,57
09,10,11,13,15,17,20,27,31,33,38,41,42,44,46,52,54,56,57,60
09,10,11,15,16,17,20,22,26,31,33,37,42,45,46,49,50,56,57,59
09,10,12,20,23,28,29,31,32,33,37,42,45,48,50,53,56,57,58,59
09,10,13,15,16,20,22,23,24,26,27,28,33,36,44,46,49,56,57,60
09,10,19,24,27,29,33,34,36,38,40,44,45,47,48,52,53,57,58,59
09,11,12,14,16,17,19,26,32,38,40,41,45,48,51,52,53,54,57,59
09,11,12,14,16,17,22,24,26,32,36,37,45,48,49,50,51,53,57,59
09,11,12,14,16,17,24,26,29,32,34,36,41,45,47,51,54,57,58,59
09,11,12,15,16,17,19,23,26,28,32,37,38,40,45,46,50,52,57,59
09,11,12,16,17,19,22,26,32,34,37,40,41,45,47,49,50,54,57,59
09,12,13,23,27,28,29,31,32,37,42,44,45,48,50,53,57,58,59,60
09,12,14,15,16,23,24,26,28,29,32,36,37,45,46,50,51,57,58,59
09,12,14,16,19,24,26,32,34,36,37,38,40,45,47,50,51,52,57,59
09,12,14,16,22,23,26,28,32,37,38,41,45,49,50,51,52,54,57,59
09,12,14,16,23,26,28,29,32,34,38,45,47,48,51,52,53,57,58,59
10,11,14,17,19,22,24,27,31,33,34,36,40,42,44,45,47,49,51,59
10,13,15,20,24,27,33,34,36,37,38,44,46,47,48,50,52,53,56,60
10,14,15,16,20,26,29,33,37,38,45,46,48,50,51,52,53,56,58,59
10,15,16,20,22,24,26,33,34,36,41,45,46,47,48,49,53,54,56,59
11,12,14,15,17,19,22,24,31,32,36,40,41,42,46,48,49,51,53,54
11,12,14,15,17,23,24,28,29,31,32,36,38,41,42,46,51,52,54,58
11,13,15,17,20,23,28,31,34,38,42,45,46,47,48,52,53,56,59,60
12,13,14,19,22,23,27,28,29,31,32,40,41,42,44,49,51,54,58,60
12,14,15,19,23,28,31,32,34,37,40,41,42,45,46,47,50,51,54,59
13,14,15,19,22,23,24,27,28,36,38,40,44,46,48,49,51,52,53,60
13,14,22,24,27,29,34,36,37,38,41,44,47,49,50,51,52,54,58,60
14,15,22,24,31,34,36,37,41,42,45,46,47,48,49,50,51,53,54,59

 

 

a partir de 2151:

 

image.png.dbd21238560fe34dd93d443bf39a85e4.png

 

o problema montar a outra metade do quebra cabeça e SABER como escolher a (s) linha (s) correta (s).

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6 horas atrás, DixieJoe disse:

@RobSmith 

 

Sim, RobSmith.

 

E com uma lista de 4507 linhas de 20 temos 66962 senas aproximadamente.

Os 2 piores sorteios tiveram 3 senas. Todos os demais sorteios tiveram de 4 até 134 linhas com senas.

 

Usei a matriz de 5069 que você mencionou e que está disponível no La Jolla Covering Repository. (Rei das melhores matrizes de desdobramento....)

 

O que fiz foi pegar essa matriz e ENRIQUECER cada linha para aumentar a quantidade de SENAS (num programa que criei e que ficou quase 20 horas rodando...) nessas 4507 linhas no periodo de 2158 sorteios. Essa redução na quantidade de linhas RICAS é porque no final do processamento, apareceram linhas de 20 exatamente iguais. Retirei elas. 

 

Então, cada linha teve de 10 a 20 senas.

 

Mas ainda é muita coisa. Precisamos de idéias para reduzir (filtrar) essas 4507 linhas para umas 100 no máximo, não acha?

 

Alguma sugestão?

 

------------

 

Para quem tiver curiosidade: O programa é até simples. A lógica básica é esta;

 

Pega uma linha de 20 dezenas e vai tirando 1 dezena e colocando cada uma das 40 dezenas de "Fora" e medindo contra todos os sorteios. SE acertou mais senas, faz novamente.... Porisso a demora. É muito processamento porque testa cada uma extensivamente.

 

------------

 

Com certeza, deve ter outra lógica que consiga melhores linhas em quantidades de senas (no final, as melhores linhas que obtive usando a lógica acima teve 20 senas).

 

-------------

 

Agora preciso investir tempo (muito tempo, com certeza) para obter as Linhas com o Melhor Desempenho (aquelas que, juntas, acertem em 90% dos sorteios diferentes).

A idéia é a esperar que essas melhores linhas consigam premiar com SENAS novamente nos próximos 5-10 sorteios.

 

Aceito sugestões

 

 

 

 

 

 

 

 

Bom dia a todos, Joe por favor vc poderia postar essas 4507 linhas? Obg!

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@espada 

 

Peço desculpas, mas não posso postar essas linhas ainda.

 

Elas foram obtidas num projeto pago por um cliente e só vou poder liberar com a autorização dele.

 

Estudo com pesquisa demorada e programa específico feito especialmente para esse trabalho.

Preciso respeitar o cliente, concordam?

 

Tenham paciência. Pode ser que ele autorize.

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Jogo é risco,

Jogo si faz diante de condições,

Ganhar ou perder é consequência

 

Para a seninha em 16 ou 20 Dz segue 2 condições A e B

Com  20 gera 3003 linhas  de C15,5  

Com  16 gera 1365 linhas de C15,4 

 

Primeiramente, considere as 60 Dz para 15 quadras.

Segundo, avalie a oportunidade diante da proposta expressa.

 

Hipóteses

Condição A - Nas 15 quadras sugeridas com que frequência ao menos uma  destas quadras apresentaram pelo menos 2 acertos? Isto define o nivel de segurança para acertar a quadra em 20 Dz.

Condição B - Nas 15 quadras sugeridas com que frequência ao menos uma  destas quadras apresentaram pelo menos que seja um terno em somente uma quadra ou ao menos 2 quadras com 2 acertos cada? Isto define o nível de segurança para a quadra em 16 Dz

Spoiler
G1   1 11 21 31            
                      G11
G2   2 12 22 32       41 51  
                  42 52  
G3   3 13 23 33           G12
                  43 53  
G4   4 14 24 34       44 54  
                      G13
G5   5 15 25 35       45 55  
                  50 60  
G6   6 16 26 36           G14
                  47 57  
G7   7 17 27 37       48 58  
                      G15
G8   8 18 28 38       46 56  
                  49 59  
G9   9 19 29 39            
                       
G10   10 20 30 40            

 

 

 

 

Edited by Julio cezar Rocha Brito
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Em 11/06/2019 at 17:13, Romildo Ramos disse:

@DixieJoe  a combinação por grupo de dezenas é a mais econômica que conheço, e pelos estudos que andei fazendo em media o mega sai de 4 a 5 colunas, muito difícil sair um resultado em 6 colunas.

Logo acredito que temos que partir deste princípio e achar os grupos, que não precisam ser exatamente de conjuntos com 5 dezenas podem ser com 10 dezenas desde de que respeitando o padrão de no mínimo 4 colunas e com pontuação alta.

 

Resulta em bons jogos  quando fiz com 4 grupos de 10 e 4 grupos de 5 dezenas, tanto acerta com 20, 25 e seus opostos ( 35 e 40 )

Veja a segunda tmagem, com esta sugestão e se observar foquei na ferida de 5 colunas, e este é um ponto crucial e que oferece maior oportunidade  que devemos trabalhar. tenho umas linhas para a apreciação de quem queira

Spoiler

image.png.05ea873bb0cf085267b792060a4b2c8f.png

 

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Em 12/06/2019 at 06:37, DixieJoe disse:

Peço desculpas, mas não posso postar essas linhas ainda.

 

Elas foram obtidas num projeto pago por um cliente e só vou poder liberar com a autorização dele.

 

Em 12/06/2019 at 02:02, espada disse:

Pega uma linha de 20 dezenas e vai tirando 1 dezena e colocando cada uma das 40 dezenas de "Fora" e medindo contra todos os sorteios. SE acertou mais senas, faz novamente...

 

Em 12/06/2019 at 02:02, espada disse:

Com certeza, deve ter outra lógica que consiga melhores linhas em quantidades de senas

 

Em 12/06/2019 at 06:37, DixieJoe disse:

Estudo com pesquisa demorada e programa específico feito especialmente para esse trabalho.

Estes são os primeios passos e uma das fontes que uso é o estatistica.net do xloterias  

Dixie está eticamente certo, os nossos estudos facultam inumeras ideias de como transformá-las e convertê-las em produto ai cada um sabe como conduzir, etc

Mas podemos contar com a oportunidade do aprendizado e a maneira de cada um desenvolver e retirar o leite das pedras

 

Um caminho inicial????

A cada um, por onde prefere iniciar?

 

Vou partir disto

1)   O time que está ganhando é o melhor, inté que prove o contrário

2)   vou considerar a partir das formações das  4 dezenas conforme sugeri no 1º diagrama a cima citado em destaque as laranjas

3)  Está implícito a ideia de C10,6  =  C10,4 

Observe

Coluna ou linha é uma questão de refererencia que nada altera o ponto de vista nem aos resultado de

uma questão matemática.

para as formações de 24 Dz seja  6  x  4  ou  4  x  6  tudo que si molda, de forma muda, mas as propriedades dos componentes permanecem

Para as bolas não faz diferença como são classificadas, arrumadas, etc.

Vamos definir as 210 linhas de 24 e tentar enriquecê-las comfalouDixie - Ao trabalho braçal inevitável ou não?

 testando uma a uma no estaitica.net ou em outra ferramenta, talvez a mazusoft ou quem conhece e queira contribuir caso concorde em dividir o trabalho e a assim compartilhar dos encontrados ou achados estaremos trilhando por uma pespectiva lógica.

Gostaria de "ouvi-los"

 

 

Edited by Julio cezar Rocha Brito
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7 horas atrás, Julio cezar Rocha Brito disse:

estava ai o tempo todo desde a abertura do tópico as 6 dentre  as 16 em laranja e bastaria seguir, confiar em um único palpite ao menos  conc 2159  14 26 35 38 45 53, são laranja?

image.png.05ea873bb0cf085267b792060a4b2c8f.png

@Julio cezar Rocha Brito  Vejamos então se entendi: em sua tabela á esquerda temos os grupos de 5 dezenas cada correto?

Estes grupos devem ser combinados entre si a fim de formar os conjuntos de 15 , 20 , 25 ou mais dezenas..

Seria isso!?

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@Romildo Ramos 

 

Pode ser desta forma como pecebeu,  talvez um adendo a isto o seguinte:

ao formar as linhas veja se não ultrapasse a formação de 6 colunas, alguem pode sugerir outra coisa

Como eu disse vou trilar no Laranjal que é o time que esta ganhando vou forma as linhas e depois o trabalho braçal de reduzílas de 24 a 20 ou avaliar a resposta com linhas de 24 e de 36 quem sabe?

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37 minutos atrás, Julio cezar Rocha Brito disse:

 

 

 

Estes são os primeios passos e uma das fontes que uso é o estatistica.net do xloterias  

Dixie está eticamente certo, os nossos estudos facultam inumeras ideias de como transformá-las e convertê-las em produto ai cada um sabe como conduzir, etc

Mas podemos contar com a oportunidade do aprendizado e a maneira de cada um desenvolver e retirar o leite das pedras

 

Um caminho inicial????

A cada um, por onde prefere iniciar?

 

Vou partir disto

1)   O time que está ganhando é o melhor, inté que prove o contrário

2)   vou considerar a partir das formações das  4 dezenas conforme sugeri no 1º diagrama a cima citado em destaque as laranjas

3)  Está implícito a ideia de C10,6 para as formações de 24 Dz

4)  Diante das 210 linhas comecemos o trabalho pesado de reduzí-las a 20 Dz e ai está um adendo do Dixie ou o trabalho braçal testando uma a uma no estaitica.net ou em outra ferramenta, talvez a mazusoft ou quem conhece e queira contribuir caso concorde em dividir o trabalho e a assim compartilhar dos encontrados ou achados estaremos trilhando por uma pespectiva lógica.

Gostaria de "ouvi-los"

 

 

@Romildo Ramos   Assim pelo seu diagrama " laranja "  combinando os grupos de 4 dezenas temos as 6 linhas abaixo com 20 dezenas cada.

05,06,07,08,14,15,16,17,23,24,25,26,35,36,37,38,44,45,46,47
05,06,07,08,14,15,16,17,23,24,25,26,35,36,37,38,53,54,55,56
05,06,07,08,14,15,16,17,23,24,25,26,44,45,46,47,53,54,55,56
05,06,07,08,14,15,16,17,35,36,37,38,44,45,46,47,53,54,55,56
05,06,07,08,23,24,25,26,35,36,37,38,44,45,46,47,53,54,55,56
14,15,16,17,23,24,25,26,35,36,37,38,44,45,46,47,53,54,55,56

 

Dentre elas a SENA.

Um jogo barato que é possível jogar ( no meu caso ) de 1,00 até 5,00 por cada linha e faturar ótimos prêmios, haja avista que aqui onde moro paga-se 650,00 por 01.

 

 

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3 minutos atrás, Julio cezar Rocha Brito disse:

@Romildo Ramos 

 

Pode ser desta forma como pecebeu,  talvez um adendo a isto o seguinte:

ao formar as linhas veja se não ultrapasse a formação de 6 colunas, alguem pode sugerir outra coisa

Como eu disse vou trilar no Laranjal que é o time que esta ganhando vou forma as linhas e depois o trabalho braçal de reduzílas de 24 a 20 ou avaliar a resposta com linhas de 24 e de 36 quem sabe?

@Romildo Ramos  Combinando as 12 linhas o total de linhas com 25 dezenas é de  792 linhas, já fica  fora de contexto pois paga-se aqui com jogos de 25 dezenas apenas 150,00, vejam vcs a diferença de prêmio entre 20 dezenas e 25 dezenas é gritante.

 

Vou aguardar sua próxima publicação dos conjuntos de 4 dezenas laranja para fazer as combinações e posta-las aqui.

 

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1 minuto atrás, Romildo Ramos disse:

@Julio cezar Rocha Brito  Tenho um software que faz algumas estatísticas por quantidade de concurso,  se ajudar é só pedir que posto a solicitação.

 Por exemplo: as dezenas que faltam para fechar o ciclo são : 03-05-43-53. Á dois concursos permanecem as mesmas.

1 minuto atrás, Romildo Ramos disse:

 

 

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@Romildo Ramos 

 

òtimos, segura ai.

Vamos aos pouco definindo o que fazer.

Me ajude a definir as 210 linhas ou me diz ai um utilitário para definir as linhas de C10,5 = 210, aguardo

Segue a definição das duas linhas inicial e a final e como estas aparecem na matriz

Estou com a caixa cheia para envio de imagem te passo via email me passe no MP  por favor, OK?

 

L1   1 11 2 31 41 32 20 30 29 49 59 56 3 12 21 33 42 51 4 13 22 34 43 52
L210   7 16 25 37 50 55 8 17 26 38 47 60 9 18 27 39 48 57 10 19 28 40 46 58
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