[Acertar 11 números com o mínimo de jogos possíveis.]

Boa noite, sei que esse tema já foi debatido aqui no fórum no passado, mas qual o mínimo de jogos para se garantir pelo menos um acerto de 11 dezenas(pode vim acertos de 12, 13, 14 ou 15 números também.)? Gostaria de saber se alguém já testou isso, se testou e tiver as dezenas aí disponíveis para eu testar aqui, agradeço.  Estou começando a estudar uma maneira para escrever um algoritmo em que me dê o mínimo de jogos possíveis para conseguir cobrir todas as possibilidades acertando pelo menos 11 números... não sei se 11 ou 12 jogos seriam possíveis para pelo menos 11 acertos, tendo em vista que a probabilidade de acertar 11 números é de 1 em 11(nao se se to viajando nessa questão). Mas em fim, quero começar a direcionar meu estudo para esse lado, talvez eu não consiga uma quantidade satisfatória(financeiramente falando), mas talvez me dê um norte para montar outros estudos em cima disso. Desde já agradeço a todos que responderem o post...

[quantidade de Jogos para 11 pontos]

 

4 horas atrás, DixieJoe disse:

 O cálculo matemático é 1 acerto de 11 em 11 jogos com 15 dezenas cada.

 

Está no site da própria CEF. Dê uma olhada lá para outras faixas de acertos.

Tem para todas as loterias.

 

MAS...Ninguém tem um desdobramento com 11 linhas de 15 garantindo 11. 

A menor matriz conhecida e testada, ATÉ AGORA, precisa de 43 jogos

Obrigado amigo

[quantidade de Jogos para 11 pontos]

Alguém aqui já calculou a quantidade mínima de jogos de 15 números que cubra todas as combinações possíveis de 11 números da lotofácil?

[Binário e a lotofácil]

Um detalhe interessante: eu falei que os números de 8 dígitos começavam com o algarismo 1, 2 ou 3, observei que a quantidade de sorteios em que o decimal se inicia com 3 é de 534(de um total de 2728) é tipo a cada alguns sorteios aparece um jogo com o decimal de 8 dígitos iniciando com 3, e a partir dessa informação eu gerei todas as possibilidades de de decimais com 8 digitos inciando com 3 e converti em binário de 25 dígitos, que deu um total de 586.561 possibilidiades de jogos. Porém daí ainda da pra limpar removendo as sequências grandes de números que são quase impossíveis de sair... Bom dito esse detalhe vou dizer também que o decimal de 8 dígitos que começa com 1 tem 946.548 possibilidades de jogos. E o decimal de 8 dígitos começando com primeiro dígito sendo 2(que é o que mais se repetiu nos jogos anteriores) tem 1.178.675. Se o kra escolher um jogo desses e deixando os outros fora, as chances já aumentam em muito de acertar... em fim, é isso, espero que tenham entendido, qualquer dúvida é só dizer que eu tento explicar melhor...

 

ps: nem todo número decimal de 8 dígito convertido em decimal terá 15 binários 1, então esses que tiver menos de quinze não são utilizados, pois não são possibilidades válidas devido a quantidade de número a ser marcado na lotofácil é de 15 números, então obrigatoriamente tem que ser um binário que tenha quinze dígitos 1(binário)....

[Binário e a lotofácil]

Exemplo concurso 2727:

 

01 02 03 04 05 06 07 08 09 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 <<<----------qtd de números totais da lotofácil

  0   1   1    1   0   0   0    1   1    1   1   1   1   0    0   1   1    1   1   1   0    0   1   0    0  <<-----------binário dos números sorteados

       02 03 04                08 09  10 11 12 13           16 17  18 19 20            23             <<-----------os 15 números sorteados

14939108 <<----------------------------------------------------------------------------------------------------------------------- conversão do binário em decimal            

 

[Binário e a lotofácil]

2 minutos atrás, DixieJoe disse:

Tenho interesse em estudar a questão dos binários.

 

Você escreveu:    ou seja, o decimal do concurso 2728 é 32627624. 

 

Como chegou no decimal de 32627624?

 

E como imagina que a gente possa usar isso? Se a grande maioria contém valores,por posição, entre 1 e 9, temos uma variação muito grande.

 

Confesso que me perdi, por enquanto.

 

Bom meu amigo, é simples, talvez eu não tenha explicado corretamente mas é o seguinte, você monte o número de 1 até 25 e marca com 1 o que saiu no sorteio e com 0 o que não saiu, se observar todo o binário vai ter 15 dígitos 1(binário) e 10 dígitos 0 binário e esse será o binário do jogo. Exemplo, no jogo que citei  o binário é 1 1 1  1  1  0   0   0   1   1   1    0   1    1   0   1   1    1   0   1   0    1   0   0   0. por quê? porque em cada posição dessa ele representa a posição de um número de 1 até 25 e onde tem o binário 1 quer dizer que o tal número saiu, e onde tem o binário 0 quer dizer que aquele número não foi sorteado. Depois disso só converter o binário que você alcançou em decimal. Exemplo:

numeros sorteados no concurso 2728: 01 02 03 04 05 09 10 11 13 14 16 17 18 20 22

numeros:01 02 03 04 05 06 07 08 09 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25

binário:      1   1   1    1   1   0   0   0   1    1   1    0   1    1   0   1   1    1   0   1   0    1   0   0   0  = 32627624

o número 6, 7, 8, 13, 15, 19, 21, 23, 24, 25 estão marcados com zero é porque eles não foram sorteados no concurso 2728.

 

bom, dada a explicação acima, creio que da para a gente procurar padrões no decimal de 8 dígitos(creio que é melhor trabalhar com 8 números do que com 15). E também é melhor de se trabalhar(pelo menos eu achei) nos algoritmos para procurar padrões, etc... com base nessa nova abordagem poderiamos fazer estudos e conseguir ver algum padrão que não vemos, normalmente, ao olhar para os 15 números sorteados, pois é assim que funciona na estatística, quando temos uma formula que não da para fazer tal coisa a gente escreve ela de outra maneira que aí fica mais fácil. Eu joguei aí todos os binários com seus respectivos decimais dos jogos anteriores( até o concurso 2728) já para facilitar para quem quer começar nesses estudos dos binários...

 

 

[Binário e a lotofácil]

Boa noite, esses dias estive vendo algo que achei interessante, se agente colocar os números que foram sorteados na lotofácil como binário e depois converter em decimal, vamos obter um número binário de até 8 dígitos, sendo que o primeiro algarismo é 1, 2 ou 3 e o resto dos dígitos são de 0 a 9. Nos jogos anteriores da lotofácil verifiquei que a grande maioria do binário do jogo convertido em decimal é de 8 dígitos, e uma pequena parcela é de 7(esses todos os algarismos vai de 1 a 9) dígitos. exemplo: concurso 2728.

numeros sorteados: 01 02 03 04 05 09 10 11 13 14 16 17 18 20 22

numeros:1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25

binário:    1 1 1 1 1 0 0 0 1   1   1    0   1    1   0   1   1    1   0   1   0    1   0   0   0  = 32627624

 

ou seja, o decimal do concurso 2728 é 32627624. Por enquanto são essas informações que tenho, quem quiser estudar também, acho interessante, talvez nos ajude a chegar a um jeito viável de conseguir acertar pelo menos 11 ou 12 números sem gastar muito...

ps: to colocando a baixo o binário de todos os jogos até o concurso 2728.

binario = decimal
0110110011101101010100111 = 14277287
1001111010111011001100110 = 20805222
1001011111110101100100110 = 19917606
1101100101011001111000111 = 28488647
1101000110111011001100111 = 27489895
1101111001010011101010101 = 29140821
1001001101010111011011101 = 19312349
1000110111001011111101001 = 18585577
0011100011101011101110011 = 7460723
0111110111110100001100110 = 16509030
0100011111110001001101111 = 9429615
1101101111110101100000011 = 28830467
0010111111101111101000100 = 6283076
1100111010001110011110101 = 27073781
1101010101010011011010111 = 27961047
0100111101011010101010111 = 10401111
1110111010001101111110000 = 31267824
0100011101100110111101110 = 9358830
0100111101101111100100110 = 10411814
0011011111000101111100110 = 7310310
1101100100100101011101111 = 28461807
1111111011011110000001001 = 33405961
1011110101110101111100000 = 24832992
1110101001100100101110111 = 30722423
1111111010001101000101110 = 33364526
0000101111101101101111100 = 1563516
0010010101111110010111011 = 4914363
1010001011111101111110000 = 21363696
1001110110001101101111010 = 20650874
1111011100100100101111100 = 32393596
1111000010001110101111011 = 31530363
1101011011100111100101100 = 28167980
1100101101110101001110110 = 26667638
1101001111100011011110100 = 27772660
1001110000111101101011101 = 20478813
1001101101100100101111110 = 20367742
1011100111101010000111110 = 24368190
1110011111001111000001011 = 30383627
0100001110101110111011110 = 8871390
1100101101011101100111010 = 26655546
0111000010011011111110101 = 14759925
1011110100110110100011011 = 24800539
1010011111000100111101110 = 21989870
0011110001111100011010111 = 7928023
1110101010000101111010111 = 30739415
1101110101100100011010111 = 29018327
1111110101101010010101001 = 33215657
0100111000101011111111100 = 10246140
0101110100101011001111110 = 12211838
1110011011111000001110101 = 30273653
1010111100101101100111100 = 22960956
1101000110111011000011111 = 27489823
1110011010110100111100110 = 30239206
0101111110010101010111010 = 12528314
0111111110011011011000001 = 16725697
1100100010011111101101110 = 26296174
1111011100110000101111001 = 32399737
0011110000111111111101000 = 7897064
1010111101101110001100101 = 22994021
1111100100100001111001111 = 32654287
1001100010111111001101101 = 20020845
1010001110101111110100011 = 21454755
0001000111111001101111011 = 2356091
1110011111001100110100101 = 30382501
1101001001000011111111101 = 27559933
1101000101100111100111110 = 27447102
0000101111111011000111110 = 1570366
1110111111010001100001101 = 31433485
1001001111100010111110110 = 19383798
1110110011010111001100011 = 31043171
1010110110101111010011100 = 22765212
1100101100111011110000111 = 26638215
1100101001101111111010001 = 26533841
1111110100101011010001101 = 33183373
1011111101101011100100001 = 25089825
1010100111011011101010101 = 22263637
0111010110100100110111011 = 15419835
1110111100011011110100100 = 31340452
1110100010010110110101111 = 30485935
1111101011000110110101001 = 32869801
1111111001101011101010000 = 33347408
1001110110011010111101100 = 20657644
1110110101111100000100111 = 31127591
1101010100010011101101111 = 27928431
1100101110101111010011100 = 26697372
0101110110011100111000111 = 12270023
1110100111101010010101011 = 30659755
1101100111110100111000011 = 28568003
1000010000111011101111111 = 17332095
1110000101110010100111111 = 29549887
1001000011111111100101101 = 19005229
1101010100011110111011010 = 27934170
0101111011001000111110110 = 12423670
0101000110111011110011110 = 10712990
1111100001110110111101000 = 32566760
0011010011010101111011110 = 6925278
0011010001011110101101111 = 6864239
1100110101100010110101111 = 26920367
1111001001101101100110011 = 31775539
1011000111111101100001101 = 23329549
1010011011001101101110110 = 21863286
1111001011110000011011101 = 31842525
1111101101100001110001101 = 32949133
0000111001101111011011011 = 1892059
0001011111111010101011001 = 3143001
1111110001011110100001101 = 33078541
1011011110110010110010011 = 24077715
1101001110110111010001101 = 27750029
1010101010111001010110111 = 22377143
1011110000011100101111101 = 24656253
1000110001111010111011011 = 18413019
1111010001100110111110100 = 32034292
1101110100111100001110011 = 28997747
1110011111100100000111011 = 30394427
1001111010111001110110001 = 20804529
1100000011111101011110101 = 25295605
0000111011111110110100101 = 1965477
0101110100011110011011110 = 12205278
1001010111100010110111110 = 19645886
1010101100111011011110010 = 22443762
1101101011110001110000111 = 28697479
1101100111001010110101101 = 28546477
0001111000111000111111110 = 3961342
0111011010000111011110011 = 15535859
0111011011110011000011011 = 15590939
1111011100001101010011011 = 32381595
1111101001111000011001101 = 32829645
0111010000101111101110101 = 15228789
0100111010101010011111101 = 10310909
0111110011011010101000111 = 16364871
0101111100111010001101101 = 12481645
1011101011100111100001101 = 24497933
1011100110101010011111100 = 24335612
1010101101111101101001001 = 22477641
1100101101001110011111001 = 26647801
1110110010011110100011110 = 31014174
0100010111111001111110001 = 9171953
0111101100101011100011011 = 16144155
1100001010010111111011110 = 25505758
1110010011011010011101011 = 29996267
1010001111011001111100011 = 21476323
1101111010000011111001110 = 29165518
1100000110101011101011111 = 25384799
1101001010110100101111011 = 27617659
1110000011101110110101011 = 29482411
1100100101111101100001111 = 26409743
1101110001111001001011101 = 28897885
1101100110011001100111011 = 28521275
0100101011001011111100111 = 9803751
1010111110100100001011111 = 23021663
0011101011111101010100110 = 7731878
0011111100001010101101111 = 8263023
1101100100111000110110111 = 28471735
1110110011101111010000110 = 31055494
0101100101100111011111010 = 11718394
1011000111111110001101100 = 23329900
1101011011010101011010011 = 28158675
0100001111110011111101100 = 8906732
1111110101100110100100011 = 33213731
1011000011110111101110010 = 23195506
1000100100101011110111111 = 17979327
1111110100111001010100110 = 33190566
1110111010001110000110111 = 31267895
1110110101100110010011110 = 31116446
1101010110011110111001001 = 27999689
0111000111001110011111100 = 14916860
1110010111001101011001110 = 30120654
1111001001010011101101110 = 31762286
1001111111110011000110010 = 20964914
1011111101001001010101101 = 25072301
1011000001111011100011111 = 23131935
1101011011111000010111001 = 28176569
0111101100100010001111111 = 16139391
1101001011111010100100111 = 27653415
0110111000111111011010010 = 14450386
0101000001111011110011111 = 10549151
0100011101101011101110110 = 9361270
0111010111000101001110111 = 15436407
0111101010001110101001111 = 16063823
1111111101100010100100011 = 33473827
1001111100000111101111100 = 20844412
0111001110101100101011101 = 15161693
0101011100101101001110111 = 11426423
1010001111100011111010101 = 21481429
1101011110110010101100101 = 28271973
0101110000111001111001111 = 12088271
1010000000111011111011111 = 21002207
0110100101101001001111111 = 13816447
1101111010001001011101110 = 29168366
1011101100101111011000110 = 24534726
0100100111011010111111100 = 9680380
1111110000101111000011110 = 33054238
1111100111000111001110001 = 32738929
0100001111011110110011101 = 8895901
0111011110110100111001100 = 15690188
0111100001000111101101111 = 15765359
0011111111011000010111100 = 8368316
1101111000001111110110001 = 29106097
1111110010110010001111100 = 33121404
1101100110111111000010110 = 28540438
1101100111111110001101000 = 28572776
1010100001101101111011110 = 22076382
1111111000011100110000111 = 33307015
0111101100100111100001111 = 16142095
0111000011110111110011001 = 14806937
0110100110111111100111000 = 13860664
1111010011011110101101000 = 32095592
1011011011110111001000110 = 23981638
1010111011000110011011011 = 22908123
0010101011101111010011110 = 5627550
1101010101110101110001011 = 27978635
1011010111110101001101100 = 23849580
1011100111100001011010111 = 24363735
1111000010101110011101011 = 31546603
1011101010110110111000101 = 24473029
0111111011101000101010011 = 16634195
0111111011110001101010001 = 16638801
0100101100111111100111001 = 9862969
0110010110100101111001111 = 13323215
0000100011011111110110111 = 1163191
1110011101010001101110101 = 30319477
1011111110010010010011110 = 25109662
0101001011111101000111110 = 10877502
0001010111111010011110110 = 2880758
1110101100001110011101101 = 30809325
0001100101101111111110001 = 3334129
1000101111010110111111000 = 18329080
0101000001111111111100011 = 10551267
0100010111111111100100101 = 9174821
1111110101101110100001010 = 33217802
1100111001010011111010011 = 27043795
0001110010111101110010111 = 3767191
1111111110011100101010000 = 33503568
1111100010111110100011010 = 32603418
1000000101011111111010111 = 16957399
1011101110011011000011101 = 24589853
0001111010011011011111100 = 4011772
1011010000111110101110110 = 23625078
1010111011001111001001101 = 22912589
1101000011101111011011100 = 27385564
0011100110011110100110111 = 7552311
0100110110001111111011100 = 10166236
1111101000011001110110101 = 32781237
0010111011110110010111010 = 6155450
1100011011110111011000011 = 26078915
1001101111011010110010011 = 20428179
1111001110000111101001101 = 31919949
1100100111111011001110001 = 26474097
0001101111010110110011101 = 3648925
1110100011011011111010100 = 30521300
0011110011001011011011101 = 7968477
0111010100100110111001111 = 15355343
1001111100111010011011100 = 20870364
0111111110101111000100100 = 16735780
1111010011000111100011110 = 32083742
1100011111011011010101010 = 26195626
1010011011011101111001010 = 21871562
0101110010011100101111011 = 12138875
0010111111000010011111011 = 6259963
1011111110101100011100010 = 25123042
1101111000101011101110001 = 29120369
0011011110011110100110110 = 7290166
1001001111100111011010110 = 19386070
1011010110011001001111101 = 23802493
1000101100111011111101010 = 18249706
1011111010100110011011010 = 24988890
0111110010111110100010110 = 16350486
0000111111010111011100101 = 2076389
1101010001001111111001110 = 27828174
1011111110000101011000111 = 25103047
1101110100110001011110011 = 28992243
1101100110111010100100111 = 28538151
1000111001010011111110011 = 18655219
0101111001110110100110101 = 12381493
1010110111110110110101000 = 22801832
0111101001111000111101001 = 16052713
0101000011111101100011111 = 10615583
1110110010111010101010101 = 31028565
1110110011111000111001100 = 31060428
0011110011101011101100011 = 7984995
1111000111110110101000101 = 31714629
0111001100111011001111001 = 15103609
1101010111111000001101110 = 28045422
1010111000111010101011101 = 22836573
1001100111111111001001100 = 20184652
1111001011111000001010111 = 31846487
0100111001011011110011101 = 10270621
1111010011011110011000011 = 32095427
1111010111010110101001010 = 32222538
1100111010111100100111100 = 27097404
1100101101111110100100110 = 26672422
0110101110111001100011011 = 14119707
1110010010011110011001111 = 29965519
1111101100110011000100111 = 32925223
0111010001001011111010111 = 15243223
0110011100110111111001001 = 13529033
1001001111010111000011111 = 19377695
1011011100111111000011010 = 24018458
0010111101001000111111110 = 6197758
0011001110110010101111101 = 6776189
0110000110111110111101100 = 12811756
0101110011110111010101001 = 12185257
0111010100010011110111110 = 15345598
1011100000010111111111001 = 24129529
0111100101111000010111011 = 15921339
1101100100111111011100001 = 28475105
1011010011010110101110110 = 23702902
1101100000011011011011111 = 28325599
1111000111001101100111010 = 31693626
0110100011100111111010110 = 13750230
0101101001010111101100111 = 11841383
1100010111111001111001001 = 25949129
0110011011010111111000101 = 13479877
1100110110111110001111000 = 26967160
0110110100101101101110110 = 14310262
1011011101011110011000110 = 24034502
1101100110100101011011011 = 28527323
0011110010111111010010101 = 7962261
1011010111010101101100110 = 23833446
1010010010110110111011101 = 21589469
0111000011111101110100011 = 14810019
1110101000011011110110110 = 30685110
1111011011000100101110101 = 32344437
1111011111010001000110110 = 32481846
1101111001000110001101111 = 29133935
1101011101111010110000011 = 28243331
1111000100011111111010100 = 31604692
0111100000111010011011111 = 15758559
1111000110001100110110111 = 31660471
1100110010010110111001111 = 26815951
1010111000011011011011101 = 22820573
0110111001110100001110111 = 14477431
1100110010111111010010101 = 26836629
1100011100101011110011101 = 26105757
1011011110110101101110000 = 24079216
1110110101100111101001001 = 31117129
1011101111110001011001100 = 24634060
0011111010010111101110001 = 8204145
1100100101001011011111110 = 26384126
0111110111100100001111001 = 16500857
1000101010111001011111011 = 18182907
1011000100111011001111101 = 23230077
0010110100111111011101001 = 5930729
0011110011111011000110011 = 7992883
0100001010110111011110111 = 8744695
1110110101010110110010110 = 31108502
0010101111110110011100011 = 5762275
1100101100010100111111011 = 26618363
1100101100010101111101011 = 26618859
1111011110011110000001101 = 32455693
1110101001110101111000110 = 30731206
1111010010011010111101010 = 32060906
0110001110111000111111100 = 13070844
1101001111010001111011100 = 27763676
0101011111111010011000101 = 11531461
0101100011101111001101011 = 11656811
1100110111101100101010101 = 26990933
0101010011110111110000111 = 11136903
0001001101111001111011011 = 2552795
1111101110100000111100110 = 32981478
1001001011011111101100110 = 19251046
1111111001011000110001110 = 33337742
0111010110101011100111100 = 15423292
0111011010111010001111010 = 15561850
0011100101110011011100111 = 7530215
0010110110101010110111101 = 5985725
1101001110011010110111010 = 27735482
0111110000101110101111010 = 16276858
1010111010110110000111110 = 22899774
0011011111110101101000101 = 7334725
1110111111001111000001001 = 31432201
0011110001011101101001111 = 7912271
0101010010111110101111100 = 11107708
1110010010011001010111111 = 29962943
1100101001111101111100001 = 26541025
0110000101011111010111011 = 12762811
1111001110111010101101000 = 31946088
0111010000011111001011111 = 15220319
0011101001111101110011001 = 7666585
0111011111100100110001101 = 15714701
1011011011011010101011001 = 23967065
0111001111110111000011010 = 15199770
0010111010110111010001111 = 6123151
1011001001101010111111001 = 23385593
1101110100011010010101111 = 28980399
1111011010100010011110101 = 32326901
0111000111110110001111100 = 14937212
1110111011100011110110000 = 31311792
0111110011011000111000111 = 16363975
0100101001111110001111011 = 9763963
1011010110011011010011101 = 23803549
1111000001110110110110101 = 31518133
1011011101100000110111101 = 24035773
0100111100011101010111110 = 10369726
1101010110101110100011101 = 28007709
1110111011101010010101010 = 31315114
1111110111001110000101001 = 33266729
0111101111011001010111000 = 16233144
1001001011110101101011110 = 19262302
1000100011010111101111110 = 17936254
1110111101000101100010111 = 31361815
1101011110100001000111111 = 28262975
0101011110111110001010011 = 11500627
1000110101101101010111011 = 18537147
0001111100111101011001011 = 4094667
1101101111100001100011110 = 28820254
0101011110110111100101001 = 11497257
1111000001110110011111100 = 31517948
1101011101000101100110111 = 28216119
1001101111101110111000001 = 20438465
1000101010110101110111011 = 18181051
0011000111110001111111001 = 6546425
0110110111011101100110001 = 14400305
0110110111100011011110001 = 14403313
1010001001101110111111100 = 21290492
1100111000001011011101111 = 27006703
1110000110111111101010100 = 29589332
0000100111111100011101111 = 1308911
0011111000000111110111110 = 8130494
0011111111110000011001011 = 8380619
0011100111011111001100101 = 7585381
1111011100011100110001101 = 32389517
1110100000101011110101111 = 30431151
1010010011101111111000011 = 21618627
1000001011111011011101110 = 17168110
0111110101100011011001011 = 16434891
1011111011110001001011010 = 25027162
1011000000101110111111110 = 23092734
0111111100011101101000101 = 16661317
0111111010101110000101101 = 16604205
1110100010111010010111110 = 30504126
0111011001011010101110110 = 15512950
1110101110000110001011111 = 30870623
0011010010111011110010111 = 6911895
1011100001101111110010011 = 24174483
0011011001001110011111101 = 7118077
1101110101110001101110100 = 29025140
1001001110101010110011111 = 19355039
0110100011110110101010111 = 13757783
1010100110011111001011011 = 22232667
1111001111101100000100111 = 31971367
0000111110011110110001111 = 2047375
1110101001110001111011100 = 30729180
1110011001000110011111011 = 30182651
1101001011111011011110000 = 27653872
1101110101100111001010110 = 29019734
1100100101010001111111011 = 26387451
1010110011111110100100110 = 22674726
1111000111100001111001011 = 31704011
0001111010100101110011111 = 4017055
1010110110000110111001111 = 22744527
1000011111110100111100011 = 17820131
1111010010100110101110011 = 32066931
0011011000111110101101011 = 7109995
1011111100110100011010101 = 25061589
1011000011111100110010111 = 23198103
1001100000101111011111101 = 19947261
0111111110101011010101000 = 16733864
1111001001110110101110100 = 31780212
1011010011110111101001100 = 23719756
0011111100111110101000110 = 8289606
1110101100010101110011110 = 30813086
0110011010101100111101101 = 13457901
1100100101100001101111111 = 26395519
1111011011101000011011001 = 32362713
0100011101110100111111001 = 9366009
0101111001001110110011011 = 12361115
0110110011011010110011011 = 14267803
1100111101101100011001101 = 27187405
1011111101101010010101100 = 25089196
0111010011111111000100011 = 15334947
1101111100111110110100000 = 29261216
1100111110110010101001101 = 27223373
1110100011110011110010110 = 30533526
0111110011101100100110101 = 16374069
1000111011101111101000011 = 18734915
0101011101110101010100111 = 11463335
0110101011111001010001111 = 14021263
0110100100101111011001111 = 13786831
0001111110110010111001011 = 4154827
1010101011011110100111010 = 22396218
0100011111010011101011101 = 9414493
1001111010110100110011110 = 20801950
1001010111101101100110101 = 19651381
0111111000100001110111011 = 16532411
1111101010101010011111000 = 32855288
0001111111000110111011010 = 4165082
0000111100111110110101011 = 1998251
1100101001110100111011101 = 26536413
0010110101111101110011100 = 5962652
1110001010111001000111111 = 29717055
1111010100110110011010011 = 32140499
1001101101011110110011001 = 20364697
0111101100011011011111000 = 16135928
1011011110101010101001011 = 24073547
0011101010101111101011010 = 7692122
1111100110110101101000101 = 32729925
1101110000101111010101101 = 28860077
1111001001110010101110011 = 31778163
0110110111001101010110101 = 14391989
1111010010010010111010111 = 32056791
1111110101101001011000110 = 33215174
1111101000110110100110011 = 32795955
1000010011011111111110100 = 17416180
0011011010100011111111010 = 7161850
0001110010111011101111010 = 3766138
1110110111110000000110111 = 31186999
0110111110000111011000111 = 14618311
1010110010110011101101011 = 22636395
1111011001111000000111101 = 32305213
1100101001111100111010011 = 26540499
1101111111011011000010010 = 29341202
1110010011101010110101101 = 30004653
1000111110110010110011011 = 18834843
0110101011111100110100011 = 14023075
0101111100111100010110110 = 12482742
1011111110111000100011100 = 25129244
0001111001111101101101010 = 3996522
0110001010111011101010111 = 12941143
0101110011010110011101110 = 12168430
1111110011111000101100100 = 33157476
0101011010100001111011111 = 11355103
0101100111111001111000011 = 11793347
0110111001110100100111110 = 14477630
0011010011101011110111001 = 6936505
1101001111110111001000011 = 27782723
1100110010110111101001110 = 26832718
0111011101110010001010111 = 15656023
0110111000110001111101101 = 14443501
0011011111110101010011100 = 7334556
1110001001011111100011101 = 29671197
1101111010111011001001010 = 29193802
1110000111101101110100011 = 29612963
1110101100111010011011010 = 30831834
1001110010101011101010111 = 20535127
0011101010100011101101111 = 7685999
1101010011100110110101110 = 27905454
0100110001111001111110011 = 10023923
1101110110011111001010100 = 29048404
0100011110111011011101010 = 9402090
0011110011001110101101011 = 7970155
1111100111001001110101010 = 32740266
1000101101101111100101011 = 18276139
0101101110101110011010110 = 12016854
1010111000111110110000111 = 22838663
0111100111111000111010100 = 15987156
1101110011010101101100011 = 28945251
1111111110001100100100101 = 33495333
0011001011101111100111100 = 6676284
1000111011101101110111000 = 18734008
0010001101011101111111010 = 4635642
1011110101011000100101111 = 24817967
0001101111011110110010110 = 3653014
1111010010001100101111011 = 32053627
1100011111010101110100110 = 26192806
1001000110101101110101111 = 19094447
1000101111010110111110100 = 18329076
1011101001010100110111011 = 24422843
1100101011101101001111100 = 26598012
1101000011010100111110111 = 27372023
0111011011111010110110000 = 15594928
1110101100001101011111010 = 30808826
1011111010110001001101110 = 24994414
1111001010010110101110110 = 31796598
1001011011010010111110110 = 19768822
1011101011100111101110000 = 24498032
1100101111011110100010011 = 26721555
1101111110001011110110000 = 29300656
1100011100011001111101011 = 26096619
1111100001010110011111100 = 32550140
0011111000110011011110011 = 8152819
0100110111001111101011010 = 10198874
1110001001110101010101111 = 29682351
1000110000111101011111101 = 18381565
0010100111011011111011010 = 5486554
0000010111111011111010101 = 784341
1111100101010011011011100 = 32679644
1001011101011111001011100 = 19840604
1010111101011100101110010 = 22985074
1001011111011101100010011 = 19905299
0101010010111110111010101 = 11107797
0010001111111010111010101 = 4715989
1011001110100101111010110 = 23546838
0110111101100110001111100 = 14601340
1000101111001111110100110 = 18325414
0111011100110001111001011 = 15623115
1001101011111000111110100 = 20312564
1001101000111100111100111 = 20216295
0111010111011000000111111 = 15446079
1011010011101111011110000 = 23715568
1101001101100111101110100 = 27709300
1010110111000111111101000 = 22777832
1011110011101110000100111 = 24763431
0110011011101111010100101 = 13491877
1000111111110010101010011 = 18867539
0110001111110000111101101 = 13099501
1110100111100101110001011 = 30657419
1011101000110110011111001 = 24407289
0101111010011001010111110 = 12399294
1010110111100001111001101 = 22791117
1010111011111101001100001 = 22936161
1100111111111000010001101 = 27259021
0101110101011011001111100 = 12236412
1100011010011110011101011 = 26033387
0111101001101101110010101 = 16046997
0110011101010111010001111 = 13545103
0010101010010011111111011 = 5580795
1110101101001101111000101 = 30841797
1101001011110111001100101 = 27651685
1101011101011111000011001 = 28229145
0111110110001101011110100 = 16456436
1110011011001011111000101 = 30250949
0100111001111101100101101 = 10287917
1000111010111001111101100 = 18707436
1101001100110000101111111 = 27681151
1100010011010011111011011 = 25798619
1111101001000111001011011 = 32804443
1101111010011000101111010 = 29176186
1011001110001100111110101 = 23534069
1000111001110111011111000 = 18673400
1110110111010011000101011 = 31172139
0111111011111010110010000 = 16643472
1111100111110010000101101 = 32760877
1101111010110001110110010 = 29189042
1110010101101111100001110 = 30072590
1111101110101000101010110 = 32985430
1111010001010110100011111 = 32025887
0111001111101010011001101 = 15193293
1101111010010110101011001 = 29175129
1101011000011100110101111 = 28064175
0110101111001101111110000 = 14130160
1001010101101101100111011 = 19585851
0110011111010000010111111 = 13607103
0111100011110110011111000 = 15854840
1001111110111000011101010 = 20934890
1111010001011101001110101 = 32029301
0101011010001001111111101 = 11342845
1111000010101101011010111 = 31546071
1101110111010001001111010 = 29074042
1011100010101101011111100 = 24206076
0110011110101001011111010 = 13587194
1101100101111000011111001 = 28504313
1101001111001001101011110 = 27759454
0110111110011110010011010 = 14630042
0001100111101001011111101 = 3396349
1010110011000110111110101 = 22646261
0001011110101100111101101 = 3103213
0101010111101011011111000 = 11261688
1101110111100110100011010 = 29084954
1010001101001101101110111 = 21404535
1001110101001110111100011 = 20618723
0100101011101101111110100 = 9821172
1110001100011101101111100 = 29768572
1110001000011101111101101 = 29637613
0100101101101110001110111 = 9886839
0110101110101110010101101 = 14113965
0111110101011010101000111 = 16430407
1001111011100110100010111 = 20827415
1011110111110010001100110 = 24896614
0011111110010111101000011 = 8335171
1010011001110010111101110 = 21816814
1110011110101111001101000 = 30367336
0101111010101001101011110 = 12407646
1011001001001111110110110 = 23371702
0110011000011110110111011 = 13385147
1101011000110111010110011 = 28077747
0011110101001010111110011 = 8033779
1100001011111011100100111 = 25556775
0101110000011011111001111 = 12072911
1000001101011110110111101 = 17219005
0001101111111100011101010 = 3668202
1101010011110010101010111 = 27911511
0101101111111110101100000 = 12057952
0110000101100111011101111 = 12766959
0111101001101111100001110 = 16047886
0101110101011011001110011 = 12236403
1100111101111011001000101 = 27194949
0110101011010010011110111 = 14001399
0100001101111110111111000 = 8846840
0011011110011101011111000 = 7289592
0111011101110111011000100 = 15658692
1101111100100100111001011 = 29247947
1101111111111010000000110 = 29357062
1001100101111101000111011 = 20118075
1011000010011010101111111 = 23147903
1011011001011001001101111 = 23900783
1111010010011010011100111 = 32060647
1111001010110101001011110 = 31812190
0111111100111010100001110 = 16676110
1110000011111110011100011 = 29490403
1110011110101000111101100 = 30364140
1101011001110000111011110 = 28107230
1111011011100101101011000 = 32361304
1010010111100111011110010 = 21745394
0111100000101100111111011 = 15751675
1001101011101111000111010 = 20307514
1110001100100111011001111 = 29773519
0111011011010110010111010 = 15576250
0111010111000011011011101 = 15435485
1100011111001101011011001 = 26188505
0011000101011101101111101 = 6470525
1111111111001100000100101 = 33527845
0100100101100110110111111 = 9620927
0110110101101111100001110 = 14343950
0011011110110111000111001 = 7302713
1111010100011001011011011 = 32125659
0011011100110111100110011 = 7237427
1111110010100101001011011 = 33114715
1010011100110111011101100 = 21917420
0111010000010110111111011 = 15216123
1101111001011011010011010 = 29144730
1001000110010111110111101 = 19083197
0111110000101110001011111 = 16276575
0001011111111110101011000 = 3145048
1010100101101110010101111 = 22207663
1010101100110111010110101 = 22441653
1110101110100101010110101 = 30886581
0011001010101110101011111 = 6643039
0100001111101011011001111 = 8902351
0001001011111001110110111 = 2487223
1111101111110110001010000 = 33025104
1010111101001101101100110 = 22977382
0111101111110110010100010 = 16247970
1010111001010110011100111 = 22850791
1000111011011011110010011 = 18724755
1101001011101111000110011 = 27647539
0011011110100001010111111 = 7291583
0011011101101001001111101 = 7262845
1111011011010110100001101 = 32353549
1011000100110101011111011 = 23227131
0011011100110110111011010 = 7237082
1001000111101100100111111 = 19126591
1001111100110101011101010 = 20867818
0110010111001010111110110 = 13342198
0000110101111100101111011 = 1767803
0111110111001011101010100 = 16488276
0111111101010101110001001 = 16690057
0100011010111101011100111 = 9272039
0111000111100100100111111 = 14928191
1001100011111100001011111 = 20052063
0110101001111101110010011 = 13958035
1010111110101110001110100 = 23026804
1110010011110110100011110 = 30010654
1011011011111011001000110 = 23983686
1010011110111001100101011 = 21984043
0111100111000001111110011 = 15959027
1111011001011011100100110 = 32290598
1011110111010010110110100 = 24880564
1111011100101110011001010 = 32398538
0111101011101010001110011 = 16110707
0010110110011101101111100 = 5979004
1001111100011101011010011 = 20855507
1011111100101100100111001 = 25057593
1001101000001011111101111 = 20191215
1110101101111101100000011 = 30866179
0010111101001111100101101 = 6201133
1011000111101110110110100 = 23322036
1101110000110011110100111 = 28862375
0100101111000011111100111 = 9930727
1110001011111011100000111 = 29751047
1001110001111111001101010 = 20512362
1110111011111100100011000 = 31324440
1111011000001101110011011 = 32250779
1011010110110101101000111 = 23817031
1110001111011100010100111 = 29866151
1010111010011111010010011 = 22888083
1011101101110010101001110 = 24569166
1010110000111110101100111 = 22576487
0011101001101011101101101 = 7657325
1011110010110001110011011 = 24732571
0101111111000101100101101 = 12553005
0101011111110011000100111 = 11527719
0100111101101010110101011 = 10409387
1011110110110110011001001 = 24865993
0110011111011101111100000 = 13614048
1111000001111100011101110 = 31521006
0110010010111111000110111 = 13205047
0100111011101011001101011 = 10344043
0001100110111101101111100 = 3373948
0010011101001011111110011 = 5150707
1101000111100111101101001 = 27512681
0000100111111111111110000 = 1310704
1100111100101011001111010 = 27154042
1111001000111010010111101 = 31749309
1101011001111011101010100 = 28112724
0101110101111010100010111 = 12252439
1001100111111101101100100 = 20183908
1011000111110001001011111 = 23323231
0111000101110111011011010 = 14872282
0010011101011001011101111 = 5157615
1110111101101100000011101 = 31381533
1110010111010100011110101 = 30124277
0101101010110101110110101 = 11889589
1111110110100110000100111 = 33246247
1111011111010101000011010 = 32483866
0111011101100101110110010 = 15649714
0110111100100010111110011 = 14566899
1010110101101011011001110 = 22730446
0011010100101111001011111 = 6970975
0011011111111001000111010 = 7336506
1011111001010010111010101 = 24946133
1011100111011100010111001 = 24361145
1001100000010111111110111 = 19935223
1011111100001010110110110 = 25040310
1101011010101101100101011 = 28138283
1110111101000111001100011 = 31362659
0111101101101000011011011 = 16175323
0001011001110101110111011 = 2943931
1101101010001001011011111 = 28644063
1010011010110011110011110 = 21850014
1111111011010100101101000 = 33401192
1010101100100100111110111 = 22432247
1011111101010001001010111 = 25076311
0011000101111100101111110 = 6486398
0000011101100110110111111 = 970175
0110100111111011101000101 = 13891397
1111100101110000110100111 = 32694695
0001110101101101001101111 = 3857007
0011111111110000011111000 = 8380664
1110111111001011000001110 = 31430158
0011101011110101100010111 = 7727895
0110100000110111111011110 = 13660126
1101100010111101001101011 = 28408427
0111001000111110001111011 = 14974075
1000011111101110101001101 = 17816909
0010110000011111111110110 = 5783542
1101101011011101100011010 = 28687130
1000011110010110101101111 = 17771887
0100101110101101110001111 = 9919375
1001010011111101101010110 = 19528534
1110100011110101110111000 = 30534584
0100111101110011001001111 = 10413647
0100111001111001111101001 = 10286057
0101001111100101011111100 = 10996476
1101010100010111111010011 = 27930579
0101001111010111010111001 = 10989241
1010001101111111010101010 = 21429930
0101101011100111010110110 = 11914934
0111011100001101101011011 = 15604571
0101010010111000111111101 = 11104765
1010110101011111100110010 = 22724402
0011101001101110011111010 = 7658746
0011001100111011101111010 = 6715258
1010101111010011101001011 = 22521675
0101011000110101011011111 = 11299551
1001010011101110001110111 = 19520631
1010111011101100110110001 = 22927793
0110100110001101111010111 = 13835223
1001100001011111110100111 = 19972007
0110101101001100011111110 = 14063870
1001111001001110111101010 = 20749802
1111100100110001010110111 = 32662199
0110110110110000111111100 = 14377468
1110100111001110110111000 = 30645688
1011000111101110110000111 = 23321991
0110001110111011001101101 = 13071981
1011010100101111011110010 = 23748338
1011110110110000101101101 = 24863085
1111110011101100111100000 = 33151456
0011111011001111001001011 = 8232523
1111011011100110101001100 = 32361804
1111100001001110111100110 = 32546278
1011001100001011111001111 = 23467983
0010010101011011111011110 = 4896734
1011111001001000011111101 = 24940797
1110101111101100010100110 = 30922918
0111111101011110000011001 = 16694297
1110000111011101101011010 = 29604698
1010010011110100010111111 = 21620927
1101111101011101110000100 = 29277060
0101010111011110101001110 = 11255118
1101111011011100110001100 = 29211020
0110011110111110110001001 = 13598089
1101111111000001001110101 = 29327989
0101010111011010010011111 = 11252895
0010111010011101010110111 = 6109879
0010001111101111011010101 = 4710101
1110111001011101001001101 = 31242829
0111001011011011010011011 = 15054491
0100111101000101011011111 = 10390239
1011111110000011001111100 = 25101948
1100001101111100111001011 = 25622987
0010111111010001111011001 = 6267865
1001001111011010111110001 = 19379697
0100101110110011111001110 = 9922510
1011001101111011100110100 = 23525172
1000010101110010111110111 = 17491447
1010010000111101111111010 = 21527546
0101111010111001011011001 = 12415705
1111111100100001111000110 = 33440710
1000111100010111101010111 = 18755415
1110110001001101101111010 = 30972794
1111110110100011000101110 = 33244718
1100110010011110011011011 = 26819803
0111110100111001111010001 = 16413649
1111011100011010111100100 = 32388580
1100101111101101110010100 = 26729364
1001010111111100010110011 = 19658931
1001001011010111110110101 = 19247029
1100011101111010010101011 = 26145963
1101011001011101010001111 = 28097167
1111110110100000100110111 = 33243447
1111110101101011010101000 = 33216168
1000111011011001111101010 = 18723818
1001010101111101100111100 = 19594044
1110111111010000110011010 = 31433114
0111101101001111000111100 = 16162364
1101011011011010110000111 = 28161415
1110111101111000010111000 = 31387832
0011110110101001111100011 = 8082403
1110110100101010100011111 = 31085855
0111001001000111111111100 = 14979068
0011110001011010111101011 = 7910891
1011110001110010110101110 = 24700334
1101110101101000010101111 = 29020335
1111111000101100111000110 = 33315270
1111110000101100101111010 = 33053050
1111010110001111100011100 = 32186140
1111101011101100101011000 = 32889176
1111110001011011001101100 = 33076844
1111001010010011111010011 = 31795155
0101110110010011100111110 = 12265278
1011111001010110001101011 = 24947819
1100011111010101111100010 = 26192866
1011011010011111000001111 = 23936527
1000111111111110001010010 = 18873426
0110110010101101100111101 = 14244669
1001010111110110101000111 = 19656007
1101101111100100010110101 = 28821685
0110110010110111000101111 = 14249519
0110110101110101001101011 = 14346859
1001100100011111010111101 = 20070077
0111111001100111101000110 = 16568134
0111000111100100001111111 = 14927999
1111111011010100011001100 = 33401036
1111011100001010111100101 = 32380389
1100010011111101001100111 = 25819751
0111011001101011111100001 = 15521761
1001111011100011011110001 = 20825841
0111011010001101111100011 = 15539171
1111101111100011010000101 = 33015429
1011111000111000011111010 = 24932602
0011110011011110110011100 = 7978396
1000000111111101111010011 = 17038291
0111110010101000011110111 = 16339191
1000001111000101111111011 = 17271803
1110101011110011010101010 = 30795434
1100110110101001111011010 = 26956762
1000011111111111100010100 = 17825556
0101101110011100111110001 = 12007921
0010001111001110101111101 = 4693373
1011010100110100111011101 = 23751133
1100111011011111010010010 = 27115154
0010110101111101010100111 = 5962407
1101101011111101010010010 = 28703378
0111110100111001111011000 = 16413656
1011111100001011000011111 = 25040415
1001110010011101101111010 = 20527994
0100110010110101001111111 = 10054271
1111011001010101110110010 = 32287666
1111101010110010010111001 = 32859321
1001010110101110100111101 = 19619133
0011011011100111111000110 = 7196614
1111001011100010111110100 = 31835636
0011000111101111011011010 = 6545114
0111111101110000101011001 = 16703833
0111010111100001100111101 = 15450941
0111101010101101011110001 = 16079601
1011100011110001111101010 = 24241130
1010010111010010111110110 = 21734902
0011111011100000010111111 = 8241343
1010010100101111000111111 = 21651007
1110110100100110010111011 = 31083707
1001011111010110101011010 = 19901786
1101011001111101101100010 = 28113762
1111011001101100001010111 = 32299095
1100011101101100110101110 = 26139054
0011111110111111010000001 = 8355457
0100111111000101001011111 = 10455647
1100011111111000100111010 = 26210618
1111010110010001011011011 = 32187099
1011111010001100110110110 = 24975798
0101111101100111011010001 = 12504785
0101000111111010000111111 = 10744895
0011011010011100110011111 = 7158175
1100101000101111010111110 = 26500798
0101111010111010011101100 = 12416236
1010101010111011101100011 = 22378339
0011010111001110111001110 = 7052750
1000111101111011001101010 = 18806378
1100111010010110110011011 = 27078043
1011101111101010101100010 = 24630626
0101101011010100100111111 = 11905343
0010101110111111010001101 = 5734029
1111001110011100100101110 = 31930670
0111011010001001110110111 = 15537079
0101101011010011111001110 = 11904974
1111100010110100101111100 = 32598396
1100111101011111010010010 = 27180690
0111000100111111111101000 = 14843880
0000111101111100101110101 = 2029941
0011000101011111110111010 = 6471610
1110010101010101101110101 = 30059381
1110010001010110011111011 = 29928699
1000101011010111011111010 = 18198266
1011111010001111000101110 = 24976942
1110011011110000010101111 = 30269615
1010011111011001111011000 = 22000600
0101010011110110111101010 = 11136490
1101010101101111001011100 = 27975260
1011101011001010111000111 = 24483271
1100001010110111110011011 = 25522075
1111101001101000111110100 = 32821748
1100000111011100110101111 = 25409967
1110111100001011110110100 = 31332276
1110110000110111001110101 = 30961269
1111000111110011101010100 = 31713108
0101101101110101111001010 = 11987914
1111101101010000110111100 = 32940476
0110101010111011011110010 = 13989618
1000110011001111011111100 = 18456316
1011101111000101010011011 = 24611483
1110011110101101010011100 = 30366364
1101001011111100100111100 = 27654460
1100001010101111111001101 = 25518029
1000111000110111011110110 = 18640630
1010110111010111001010101 = 22785621
0001111111100001101100111 = 4178791
1110010100101100111001111 = 30038479
1111000111100011111100100 = 31705060
1101110010110110101101010 = 28929386
1111010101101101110100100 = 32168868
0011011100011101110011110 = 7224222
0111010101011100111110100 = 15383028
0001011010011110011111101 = 2964733
0001101011110100111111010 = 3533306
1000110011110010110110111 = 18474423
0100011111001001111110011 = 9409523
1110000110011110011111010 = 29572346
1101010111011001000111101 = 28029501
1010101001011010101110111 = 22328695
1010011111100111001011010 = 22007386
1100011111110100111000011 = 26208707
0101111101110010100100111 = 12510503
0110110010100011100111111 = 14239551
0011101100111100010111101 = 7764157
0001001111110011100111011 = 2615099
1110111011000011110110001 = 31295409
0101100010010101111111101 = 11611133
1001011001011011101011011 = 19707739
0111001101101101010110101 = 15129269
1011110101100001110110110 = 24822710
1111010000111110110001110 = 32013710
0111110010011011110100011 = 16332707
1110001111011100010001111 = 29866127
0101110111100110011011100 = 12307676
1001011110101101001110101 = 19880565
0001111010011001110111011 = 4010939
1110101100100111001111010 = 30822010
1101101100001111100111100 = 28712764
0110101110010111001011110 = 14102110
0011101110101011101100101 = 7821157
0100111001011111000111011 = 10272315
0110001111100111011010011 = 13094611
0111110000010110101111011 = 16264571
0101110001100101111011110 = 12110814
1111101001101110100011001 = 32824601
0100011001101111110111010 = 9232314
1011000101111011100001111 = 23262991
0001000011111001011111111 = 2224895
0111110001111101100011010 = 16317210
1111101010001110100101101 = 32841005
1011111000001001101111110 = 24908670
1001001111101000100111111 = 19386687
1100010011010011110011111 = 25798559
0001000011111111110111001 = 2228153
1100111101011110001110010 = 27180146
0101111011101000110010111 = 12439959
0000111100101111101111010 = 1990522
0110110001110111100011101 = 14216989
1000111001011111011011100 = 18661084
0010001011101011111011110 = 4577246
1111010000101001110111110 = 32003006
1111111011001000110010011 = 33395091
0010011111000101011011111 = 5212895
0101101001011010111011110 = 11843038
0111010010011001111110110 = 15283190
1110111011011000011101100 = 31305964
0111010100011111001011110 = 15351390
0010100111101110110111010 = 5496250
0101111011011101000100111 = 12433959
0001100110111110011101011 = 3374315
1101110011101000010011111 = 28954783
1111110111010101001001001 = 33270345
0110111010000011110011111 = 14485407
1101001101011110000111101 = 27704381
0001110011010111011100111 = 3780327
0011101101110111010000111 = 7794311
0110011100111101000011111 = 13531679
0000111011110111011100110 = 1961702
1110010011101010111000111 = 30004679
0110110100010110011111110 = 14298366
0101101011110101010111001 = 11922105
0100110110101111011011100 = 10182364
1101011010101010110100111 = 28136871
0111000011111111001010110 = 14810710
1101000111110101011110010 = 27519730
1101101110011100100011011 = 28784923
1001111111100000111110001 = 20955633
1111010011000010111101011 = 32081387
0111010010111111000001111 = 15302159
1110011100011011110101010 = 30291882
1010011010011110101101011 = 21839211
1111110101110010011101000 = 33219816
0110001111110000110101111 = 13099439
1111110010010010110011011 = 33105307
1110101100111111001010100 = 30834260
1100110101101110000110111 = 26926135
1110111101010110110100100 = 31370660
0101110111011101111000010 = 12303298
1101110110110000110101101 = 29057453
0110001001111101001110111 = 12909175
0101011101101011101001110 = 11458382
1011110101011010001011011 = 24818779
1011010010111011110011001 = 23689113
0010111100011001111001111 = 6173647
1011010110101111100001110 = 23813902
1111011001110101100100011 = 32303907
0111101100011001111011100 = 16135132
1100100101111110100101011 = 26410283
0111010000010111101111011 = 15216507
1100011110111100100011110 = 26179870
0101111111011101010000011 = 12565123
1101000101111110110100101 = 27458981
0011100111010011111000111 = 7579591
1100111011100010111011010 = 27117018
0101101111110010001110101 = 12051573
1110111001101011010111000 = 31250104
1110010000101111111011001 = 29908953
0011111101000010011110111 = 8291575
0000110011111011110001111 = 1701775
0101001111011011001101110 = 10991214
1011010001111101110000111 = 23657351
0111011101001100111000111 = 15636935
0011110110101111110000110 = 8085382
0111101000101010111011011 = 16012763
1000011110110111011101001 = 17788649
1011110011001101111100010 = 24746978
1110011101010010111011100 = 30320092
0000101110111110110101110 = 1539502
1010001011110111000111011 = 21360187
0011101111010001011111001 = 7840505
1110110110011010011100011 = 31143139
1011100001101011101010111 = 24172375
1111000110011011011001011 = 31667915
1011011000111110100011011 = 23887131
0101111100111011010011010 = 12482202
0110101001001111101101011 = 13934443
1111010110000111100001111 = 32182031
0101111101100011110011001 = 12502937
1101110101100010111001011 = 29017547
1011001010101010011110111 = 23418103
0100011010111101101110110 = 9272182
0011100101101010100111111 = 7525695
1110100111010010111011001 = 30647769
0101110011010110111110010 = 12168690
1101101110110111010010100 = 28798612
1011101111101001001000111 = 24629831
0111001110010011110011011 = 15148955
1101001101001011011111001 = 27694841
1000001100111111110111100 = 17203132
0100010111111101001100111 = 9173607
1101101110100101011111000 = 28789496
1110110111101010111000100 = 31184324
1011000101011110001110111 = 23247991
0110101001111011011100101 = 13956837
0110110111110001100101101 = 14410541
1001001110110001111110110 = 19358710
1110111110001010011110001 = 31397105
1100011111101110001101100 = 26205292
0011111110101100000111110 = 8345662
0010011101011001011111011 = 5157627
1011000010101111011101011 = 23158507
0101011001110101111110001 = 11332593
0010111010001101011011111 = 6101727
1101110010100111010101110 = 28921518
1101001101110101001011101 = 27716189
1101110101011100010101110 = 29014190
0011100110011110111110001 = 7552497
0111010011100111100011101 = 15322909
1110101001011101110001011 = 30718859
1111110010111011001110000 = 33126000
1001001111001110011101101 = 19373293
0101000111010011111001111 = 10725327
1000110011110110111101001 = 18476521
1101011110110001111100100 = 28271588
1001111100101101110100011 = 20863907
1011011011100010100111101 = 23971133
1111110001000111001011011 = 33066587
0011111101110111000001011 = 8318475
0000110011100101011111111 = 1690367
0111000101001101111100111 = 14851047
1110110000111110100001111 = 30965007
1100101110011011001111100 = 26687100
1010010110110100110111011 = 21719483
1010101001101110010011111 = 22338719
1011001011111110011010010 = 23461074
1111100001100110011101011 = 32558315
0011101111100111011100010 = 7851746
1101000101101011011111001 = 27449081
1110101001111011100100110 = 30734118
1110111111000011110100010 = 31426466
0110111111000100110100111 = 14649767
1111101110001100011110100 = 32970996
0010001010111111110111010 = 4554682
1110001001010110110111110 = 29666750
1010011111111000101100011 = 22016355
1111101011101100010110100 = 32889012
0111110111000101001101101 = 16484973
0111111010001100111100101 = 16587237
0111010011010110011011110 = 15314142
1111100111101010100101010 = 32757034
0100011111001101110111100 = 9411516
1101110110110111111000000 = 29061056
0110101000101110110110111 = 13917623
1010101101100110101011110 = 22465886
1100001111111100101011001 = 25688409
1111011011011000100101110 = 32354606
1110111100001100101101011 = 31332715
1110111101111000111010000 = 31388112
1011101100011011010111001 = 24524473
0110110011001111001010111 = 14261847
1001100011001111111001101 = 20029389
1100100111000101111110011 = 26446835
1111010011111010110100010 = 32109986
1110111011111000101000101 = 31322437
0010111111011100010011011 = 6273179
0110101110101111110010001 = 14114705
0000110111111111010101010 = 1834666
1111110010011001011101010 = 33108714
1001100111111010100101011 = 20182315
1101101000100111001110111 = 28593783
1101110100011111100001011 = 28983051
1010101011111001101010101 = 22410069
0111110110100011111010001 = 16467921
1001001111011001111001011 = 19379147
0110001110100011111100111 = 13060071
1010100001111011101101011 = 22083435
0011110010011110011101011 = 7945451
0111101011000110111100011 = 16092643
0100011111000111101110101 = 9408373
1011110111110010000110110 = 24896566
1110111000100011010101111 = 31213231
0110000110110111110111100 = 12808124
1101011011001101010110101 = 28154549
1100010101111111011001100 = 25886412
1100110101111101001101001 = 26933865
0111110111011100000110101 = 16496693
0100100111001101111101101 = 9673709
1111111000100110110101010 = 33312170
1001101001010011111111001 = 20228089
1011010100111001100111110 = 23753534
0011100111111001010101101 = 7598765
1001100101110100110011111 = 20113823
1111001000101111001001111 = 31743567
1110110111101110000100110 = 31185958
0110111010111011110001001 = 14514057
1110011100111010110011010 = 30307738
1001101100101101110111100 = 20339644
1111110111101000000110101 = 33280053
1101010110111100110000111 = 28014983
1001001011000110111110111 = 19238391
1010110100111110011101010 = 22707434
1010001101111110011101001 = 21429481
0010011101101111110100101 = 5169061
1010101001010111011011110 = 22327006
1111010011011010110011001 = 32093593
0001011011010011111111010 = 2992122
1011001110111101011010100 = 23558868
1011101010100110101001111 = 24464719
1010110110011010001011111 = 22754399
0000111011110100101111101 = 1960317
0100011111111011110001100 = 9435020
0101101101101001110101101 = 11981741
1100011001110011110101011 = 26011563
1011101001110001101110101 = 24437621
0011110010101000111011111 = 7950815
1100100011001011111100111 = 26318823
1100101100101011110101011 = 26630059
1011110000101101001111101 = 24664701
1000011101111011011110010 = 17757938
1110001101100110101001111 = 29805903
1100001111111010110101010 = 25687466
0100111101111101010100101 = 10418853
0010010011111110111000111 = 4849095
0000101011100111111110101 = 1429493
1100111111110001111001000 = 27255752
0111011010010000110111111 = 15540671
1010101100101000111111101 = 22434301
0100011011111110010100111 = 9305255
1111011011000101101001011 = 32344907
0011010010111111110101001 = 6913961
1000100111101111011101100 = 18079468
1110001101101100111110001 = 29809137
0111111100111010100100101 = 16676133
1100111010011110011101100 = 27081964
0011010111011111010110100 = 7061172
0010111110100101101101101 = 6245229
0101110101011101011100011 = 12237539
1111101101100010111010100 = 32949716
0110110101110110110100101 = 14347685
1101111010101000011100111 = 29184231
1001000101101011100111111 = 19060543
0010100111100111011011011 = 5492443
1111100101110101011000101 = 32697029
1111110000110010101100111 = 33056103
1010101111100101000101111 = 22530607
1111011110011110100100100 = 32455972
0010110111101110101001101 = 6020429
0111100010111011100011101 = 15824669
0111011011101100011100110 = 15587558
1100011110101011110010011 = 26171283
1001110011101100101111100 = 20568444
1001111101101000111010011 = 20894163
0110111011000111011110001 = 14520049
1011010111000000111111011 = 23822843
1011101001001101110101101 = 24419245
0100110111001011100011111 = 10196767
0111101001101011010001111 = 16045711
0001101001011001111101111 = 3453935
1110111001100111010000111 = 31248007
1001110100111111010110010 = 20610738
0011101111110100110101010 = 7858602
0011011011101011111011000 = 7198680
1011011011101001110000111 = 23974791
0000010111111110111101010 = 785898
1010110111011011001010101 = 22787669
1111011001111111101000000 = 32309056
0111111100101101000110110 = 16669238
1101101011011101111001000 = 28687304
1011000111001111100110110 = 23306038
1110100011111010000110111 = 30536759
0101100011101111101010110 = 11657046
0101011101111000110010111 = 11465111
1010001111100110101011011 = 21482843
0110101101100110011110101 = 14077173
1010111101011100110100110 = 22985126
1100011111000110010111011 = 26184891
0111111100010101011010011 = 16657107
1000110110111101011110100 = 18578164
0101011001101000101111111 = 11325823
0000010101111111001110111 = 720503
0010101111110100010011111 = 5761183
1110101010111110010110010 = 30768306
1111011100100011010111010 = 32392890
0011010111111111101100000 = 7077728
0010001111111010110111100 = 4715964
1111010110001010111101100 = 32183788
0010101110101111110110100 = 5726132
1111110101110100010100110 = 33220774
1001100000111111111100101 = 19955685
1011010011111001000011111 = 23720479
0000101011011111101111100 = 1425276
1000010011111011110101011 = 17430443
0110010011010110001111111 = 13216895
0001000111111111100011011 = 2359067
0111111010000111110100110 = 16584614
0000101101110101011101111 = 1501935
0011100011111101110011010 = 7469978
0101101100101100110111011 = 11950523
0011101000001010111111111 = 7607807
1110101011001011110010101 = 30775189
1111111100010000110110110 = 33431990
0111110011000111001110101 = 16354933
1000110011100111010101111 = 18468527
1011110000011111011101010 = 24657642
1000110111011010101111001 = 18593145
1110010101011000101110111 = 30060919
1101101111010110110011000 = 28814744
0011110100110111100011011 = 8023835
1001010111011101111010001 = 19643345
1000010001011111111111010 = 17350650
0100011110001111100111011 = 9379643
0011010110111010011101011 = 7042283
0001100111111110111100100 = 3407332
1111001010001001111011011 = 31790043
1011111010111111010000010 = 25001602
1010101101110010011110101 = 22471925
1101110101010111110110000 = 29011888
0010111100101111110110100 = 6184884
1010110001110011101110011 = 22603635
1111000110000111110111001 = 31657913
0011101011111100110101100 = 7731628
0011110011100111011011100 = 7982812
0000111100111101111001101 = 1997773
0010111001011000111101111 = 6074863
1011110110111100010011001 = 24869017
1001111100100111001110011 = 20860531
0001110110011110101011011 = 3882331
1110110011010001001011111 = 31040095
1011111100000110011011011 = 25038043
0111100110110111001110100 = 15953524
0011100111111011100010101 = 7599893
1111000101101011011011001 = 31643353
0111001011100111011100110 = 15060710
0111110010101010001111011 = 16340091
1101111001011000000111111 = 29143103
1010100101111100001011111 = 22214751
1101011100110101101001011 = 28207947
0111111011000111100110100 = 16617268
1000111111011111100010100 = 18857748
0000111010101011011011111 = 1922783
0111111111001001110010001 = 16749457
0111101011101101100110100 = 16112436
0101110001011010111001111 = 12105167
0011101111010110111100010 = 7843298
1111011010101110011001100 = 32333004
0101010011101110110111100 = 11132348
0110011000110011111110110 = 13395958
1001011101001111100101101 = 19832621
0010111110110100111100110 = 6253030
1001101001101111101001110 = 20242254
1101101100111111001001100 = 28737100
0101110111101000110110101 = 12308917
1011100110111101001110001 = 24345201
0111001101010111010001111 = 15117967
1100001001110111111101001 = 25489385
0111110110001000111111001 = 16454137
0000101111011111011110001 = 1556209
1011101110001011000111101 = 24581693
1100001111010111101100101 = 25669477
1011100001110001110110111 = 24175543
0010011011010111010101111 = 5090991
0011111011011010011001110 = 8238286
1111110011010001101110100 = 33137524
1110110100110010111001110 = 31090126
0101111110101100101100101 = 12540261
1001001111110110100111010 = 19393850
1110100000111111111001010 = 30441418
0110000101011101110111011 = 12762043
1011111011101001001001101 = 25023053
1111001010111011101110000 = 31815536
1110101111110111100000010 = 30928642
1101110011100110110110010 = 28954034
1001110101001011110101101 = 20617133
1001011100011001100111111 = 19804991
1011100100111000111011011 = 24277467
1011110100011001011011110 = 24785630
1011111110100011000101110 = 25118254
1101100111001101101101010 = 28547946
1110100001011110001110111 = 30456951
0100101101101110100110111 = 9887031
1100100111001111001010111 = 26451543
1011001001011100011111101 = 23378173
0100101100000111111111101 = 9834493
1100011110011110001110011 = 26164339
1111001111101110010000110 = 31972486
1110101010100100111101110 = 30755310
1001010011011101111100011 = 19512291
1010101000100111111110011 = 22302707
0101110011100010111010111 = 12174807
1011101010011101100110011 = 24460083
0011011001101110101101110 = 7134574
1001000011111111110001110 = 19005326
0100101111010101001111110 = 9939582
0111010001110100001111111 = 15263871
1001110011110000001111111 = 20570239
0110110100111100011110110 = 14317814
1110111110101001111100000 = 31413216
0110001100111110010111110 = 13008062
1101011101101010010111010 = 28234938
0111101101011100010011110 = 16169118
1001101111010101000101111 = 20425263
1100101101101110011110001 = 26664177
1110110011011010010110011 = 31044787
0101111011011101001011001 = 12434009
1111111001010010110011100 = 33334684
0100111001110011111010011 = 10282963
0110110010101111110101100 = 14245804
1000011001111011101111001 = 17627001
0110101110100000111110111 = 14107127
1101101111110110001000110 = 28830790
0011111010101110100111100 = 8215868
1111011011010000111011001 = 32350681
1110100110101010111000111 = 30627271
0101100111010100011111101 = 11774205
1111110001110011001011001 = 33089113
1001110001111001001110111 = 20509303
0101001111011110001101101 = 10992749
1011101110101110011101000 = 24599784
0101111010101100001101111 = 12408943
0111101101010011111000011 = 16164803
0100100101101111001110111 = 9625207
1111000011111010101101001 = 31585641
1111100101011100010001111 = 32684175
0110011011111010101100101 = 13497701
1100101000111111111001100 = 26509260
0001101101100111110010111 = 3592087
1111101100011110011000110 = 32914630
1110101001111010111101000 = 30733800
1000011111101001110011011 = 17814427
1111101000111010110101010 = 32798122
1110001000010011110111111 = 29632447
1001101100110100111010111 = 20343255
1110011000100101111101011 = 30165995
0011100111001100111111010 = 7576058
1111100101101100101010110 = 32692566
1010001111110100101011110 = 21490014
1110011110001110111001010 = 30350794
1011001111111010011001010 = 23590090
0101100111111010001110110 = 11793526
0111010001111011101011010 = 15267674
0011011011111101010011010 = 7207578
0011101100111011101110010 = 7763826
1110100110111001111100100 = 30634980
1100011001110101011101110 = 26012398
0110100101110110010110111 = 13823159
0111101100110101100101011 = 16149291
1001010100001101110111111 = 19536831
1101000111011101111000011 = 27507651
1111101100010110101100110 = 32910694
1000000111101111011110110 = 17030902
0010111011011101011010101 = 6142677
1010111111001100000101111 = 23042095
1101100101010110011111001 = 28486905
0000101111101010110111101 = 1562045
1110111011000110000111011 = 31296571
1101110111000000110110111 = 29065655
0111100100101101111110010 = 15883250
0101101011010111010101110 = 11906734
1111001101101110001001110 = 31906894
1110000111111100110101001 = 29620649
1011011000111111001110010 = 23887474
1001100111111101101010010 = 20183890
0011101100011010110011111 = 7746975
1010111111111000001100101 = 23064677
1111000001101110110111010 = 31514042
0101101111001110111010100 = 12033492
1011000100111101111110001 = 23231473
1110001011110111101001100 = 29749068
0111101000101110011111001 = 16014585
0110101101101011100111010 = 14079802
1100011110011010101100111 = 26162535
1101001110110101100011110 = 27749150
0010101101110011100101111 = 5695279
1010011101100110011101011 = 21941483
1100110111101010111010001 = 26990033
0111000011110110110111100 = 14806460
1111101101101000010100111 = 32952487
0011101100001111100101111 = 7741231
1010101100101110101101101 = 22437229
0110001110010111001111011 = 13053563
1101000110111010111011001 = 27489753
1011101111001101011000011 = 24615619
1100010111011101010101101 = 25934509
1110110100010011101011101 = 31074141
0111110010010001110111011 = 16327611
1101110010100111110011001 = 28921753
0011111011100101011100101 = 8243941
1111101110100100110100011 = 32983459
0010111100011011010111011 = 6174395
1111111110110101110000000 = 33516416
1110110011011000110111100 = 31044028
0011010110111001111110010 = 7042034
1010011111111010110000011 = 22017411
1101101110001111001000111 = 28778055
0110101011110110111010010 = 14020050
1111011001101001101011010 = 32297818
0101000111011101010110111 = 10730167
1010001110101001011110111 = 21451511
1011111000110100111000111 = 24930759
0101110111001001011011110 = 12292830
0100011101111111111000100 = 9371588
1110111001110110110011000 = 31255960
1010111011110101100001101 = 22932237
1100101110110111010110001 = 26701489
0010111011101011111010010 = 6150098
0001010111011101111011010 = 2866138
1101011001011111010011100 = 28098204
0011001001111111010101101 = 6618797
0011111100111001000110111 = 8286775
1100101101100101111000111 = 26659783
0111011011000111101100101 = 15568741
1110110000110111101100011 = 30961507
1101111010100000111010111 = 29180375
1011000001111001011101111 = 23130863
0110101100100111101111001 = 14045049
1011101011100110100111100 = 24497468
1111010000011110110001111 = 31997327
1010101101000101110111101 = 22449085
1010101101110000101111110 = 22471038
1111110010010111001101001 = 33107561
0011101111101101100101010 = 7854890
1101010101111011101010001 = 27981649
1111011011101000110101001 = 32362921
0000100111111010011111110 = 1307902
1100111110001000111111010 = 27202042
0100111001011011111110010 = 10270706
1011110111000100010111101 = 24873149
0111101010001101110101110 = 16063406
0101010111111110010101001 = 11271337
1011000111101110101010110 = 23321942
1111001011001101001110110 = 31824502
0011111111011010001011010 = 8369242
0101100111100101111010101 = 11783125
1010101111100110001101101 = 22531181
1110011110111110110000010 = 30375298
1110110011000100110111101 = 31033789
0000111110101100110110111 = 2054583
0010011011101101101111010 = 5102458
1011011111110110000101010 = 24112170
0111101000110110010011111 = 16018591
1111010111001101111010000 = 32218064
1110001011011111101010100 = 29736788
1101111011100001101110001 = 29213553
1101100101101101110001110 = 28498830
0100111111011110000101101 = 10468397
1011100111001101101100011 = 24353635
0001101101101011110011011 = 3594139
1101001011111100010110011 = 27654323
0111010111001100011011110 = 15440094
1111000110100001110101111 = 31671215
1111011101101100101100010 = 32430434
1100011110100111110100110 = 26169254
0110010101011001111111010 = 13284346
1011001111101011100110010 = 23582514
0111010110111110100110010 = 15433010
1010010010110001111101111 = 21586927
1110111011010110010001011 = 31304843
0010101111011110100101101 = 5750061
0111100011110100011101101 = 15853805
0001100100011111010111111 = 3292863
1110111011000000111100111 = 31293927
0011111011001110001011011 = 8232027
1010011100010011101011111 = 21899103
0110011110011110011101001 = 13581545
0011101100111110111001010 = 7765450
1000001101110111001101111 = 17231471
1010111111100110001101001 = 23055465
1101110000010111100111011 = 28847931
0011100110110101101111001 = 7564153
0100111001101010111101011 = 10278379
1111101011010101001001101 = 32877133
0111111110101010010001110 = 16733326
0111100111000111010110101 = 15961781
1011111010011010110101001 = 24982953
1101001111010110001101011 = 27765867
0001000011111011101011111 = 2226015
0001100110011111110101110 = 3358638
0011100101001111111101001 = 7512041
1111011101000001111101010 = 32408554
0111111001100101110010011 = 16567187
0101111000010110100111111 = 12332351
1111010001101001011101101 = 32035565
1110111001010101011101100 = 31238892
0111101001111010101100110 = 16053606
0011010111010010111110110 = 7054838
0101111100011011111100100 = 12466148
0101001111010111000111101 = 10989117
1110001101101100110110011 = 29809075
0110111001111100110011100 = 14481820
1110100101101100110111001 = 30595513
1110111010111001100011100 = 31290140
0101111100101011110100011 = 12474275
1101100101011010110011110 = 28489118
1100110111011100100110011 = 26982707
1111000101101001010101111 = 31642287
0001110100110101110110111 = 3828663
1110111110010001100110101 = 31400757
1111001000101101100111101 = 31742781
1011100111010110011011001 = 24358105
0110110110100000110111111 = 14369215
1101101010110010101100111 = 28665191
1101100011110010001111110 = 28435582
1110101110010100001111101 = 30877821
0011000111011111010100111 = 6536871
1001110010110111111101000 = 20541416
1011110110000101011101110 = 24840942
0000101111110111101110100 = 1568628
1110001101111100010110101 = 29817013
1110001101110011100101101 = 29812525
1001111010011010111110001 = 20788721
1110100011101011110000111 = 30529415
0101001011011111100001111 = 10862351
1110111000110101101011010 = 31222618
0101110011001010111101110 = 12162542
1111011011000101111100010 = 32345058
1011111101001010001011011 = 25072731
1100011011101101111001100 = 26074060
1101101101001011001101101 = 28743277
1111101101111011011000000 = 32962240
0010111001010110110101111 = 6073775
1011011100100101101111100 = 24005500
1111100010111000111100110 = 32600550
1001100010101100110111111 = 20011455
0101101101011101111000110 = 11975622
0011011001001000111111111 = 7115263
0111100110001101011111001 = 15932153
0001110111001111001010111 = 3907159
1110011100011101000111110 = 30292542
1110111101001001110111000 = 31364024
0011101101100111111001001 = 7786441
1010010111011111111001000 = 21741512
0101011011111101011101000 = 11401960
0111100010010101111110110 = 15805430
0111101110011110110110000 = 16203184
0100100011111001111011101 = 9565149
1111011111011100110001000 = 32487816
1011100000111010011111110 = 24147198
0101111011110000100111011 = 12443963
1111100101101100011110100 = 32692468
1010111001001111110000111 = 22847367
1001000111011011101110110 = 19117942
1010111101000110011011110 = 22973662
1101010100101001111011011 = 27939803
1011101001111001100001111 = 24441615
1011101111100110000011110 = 24628254
0110111101110000110111010 = 14606778
0111010001101010110110111 = 15259063
0111000011101010110101111 = 14800303
1011110100101111001010011 = 24796755
0101101100110110101011101 = 11955549
1101011001111100111011000 = 28113368
0000111011111011010111100 = 1963708
1000110100011110011011111 = 18496735
1010110101110110101101001 = 22736233
1100111011001111000111010 = 27106874
0110111111110110100011000 = 14675224
1101010111110101010010011 = 28043923
1000001101011111011001111 = 17219279
1010101111001100101101011 = 22518123
1010100011011100111111010 = 22133242
1101100110011111001010101 = 28524117
1110011101100011100011011 = 30328603
1110010001011110001110111 = 29932663
0010011010111011011001111 = 5076687
0101110001110011011101011 = 12117739
1010010011001100111111110 = 21600766
0111111100110101001101010 = 16673386
1111110111100001011001010 = 33276618
1000100100110011111111101 = 17983485
1001010111010111110110001 = 19640241
0000111101101010111011011 = 2020827
1000110001111010111110110 = 18413046
0111011111100001010110011 = 15712947
0011011111110011001001101 = 7333453
1001111101001011101110001 = 20879217
1010111011110000111011001 = 22929881
0101010010011011001111111 = 11089535
1001011001011001111101110 = 19706862
1011011011011010011001011 = 23966923
1011011110011011110101000 = 24065960
1110110110011010100011011 = 31143195
1111100001011110100110011 = 32554291
1110000110101001011111101 = 29577981
1100111100011001101011110 = 27145054
1011001001001110110111101 = 23371197
1101001111011100101101100 = 27769196
1111110101000111011001100 = 33197772
1011111000010111010100111 = 24915623
1110110011101000111110001 = 31052273
1100111100010011100111101 = 27141949
1111100111101111000010010 = 32759314
1101011001010111101100101 = 28094309
1111100110101100110011001 = 32725401
1010001111111111000110100 = 21495348
0101111011100011001100111 = 12437095
1101010001010100111101111 = 27830767
1010101101011101110100101 = 22461349
0101101000110110011111101 = 11824381
0100011001101011111010111 = 9230295
1011101011001101001110011 = 24484467
1100100111001011111010011 = 26449875
0010001011011110101101111 = 4570479
0010011110110111111100100 = 5205988
0111011000111000111001111 = 15495631
0101010101010111011110011 = 11185907
1010110111101001011010110 = 22794966
0111010110000010011111111 = 15402239
0011110111101111100001001 = 8118025
1001101111100011011111000 = 20432632
1110001100011110111101001 = 29769193
0011000101110110010111111 = 6483135
1011001011101100111001101 = 23452109
1001111110100101101010101 = 20925269
1011111000010001110111110 = 24912830
1101011001110100011110101 = 28109045
1100011011101110111100100 = 26074596
1010100110101110101011011 = 22240603
1110010100111010110010111 = 30045591
1101101101001010111101010 = 28743146
0110011011001111100011011 = 13475611
1110110001101001011110110 = 30986998
0011101101101001011011011 = 7787227
0101001111001001111001111 = 10982351
1010100011010011011110111 = 22128375
0010111011100111111000011 = 6148035
0111101010011111001110100 = 16072308
0111100101110010010101111 = 15918255
1100111101011111000111000 = 27180600
1001101001011010111101110 = 20231662
1100100100110111001110111 = 26373751
0011111010100010111110110 = 8209910
1000100111101110101101011 = 18079083
1101110011000111010101110 = 28937902
1101101010100111001110101 = 28659317
1110101110001100111100011 = 30874083
0010101100111011011101011 = 5666539
1101110010001101110100111 = 28908455
1011011010011101001011011 = 23935579
0111111101011100010110010 = 16693426
0101011010111000011110111 = 11366647
1101101100101111100100101 = 28729125
1110101000010111011010111 = 30682839
0010011001111110011110011 = 5045491
1101011110101111010110000 = 28270256
1001001011100111110011110 = 19255198
1001110111100111001010110 = 20696662
1000010011111111111100100 = 17432548
1001101001001101111111001 = 20225017
0111101011001101101110001 = 16096113
1001010010011101111110011 = 19479539
0010111111011011111001000 = 6272968
0100110110101101110110101 = 10181557
1010001111100111100111100 = 21483324
1100101111111100001011001 = 26736729
1011011001011100111011010 = 23902682
1100111110111010001010110 = 27227222
0111101001101011001011110 = 16045662
1010100101110100111101110 = 22211054
0101100111010101011111100 = 11774716
0100001111100001011111111 = 8897279
1000001010110111011110111 = 17133303
0100110100011110111111100 = 10108412
1001011000101111010111110 = 19685054
1011011110010110111000011 = 24063427
1001110110111111000010011 = 20676115
1010100111010011010111101 = 22259389
1011011110000110111000111 = 24055239
0110011001111111101010010 = 13434706
1111011100111000110011001 = 32403865
0011110010111101101110100 = 7961460
0001011100110111101111010 = 3043194
1010111100110111100010101 = 22966037
0011110101100110111110100 = 8048116
1110000011110110011101011 = 29486315
1110101110000110111100110 = 30871014
0110001110101011110111010 = 13064122
1000100010111100111011111 = 17922527
0001101001110111010110111 = 3468983
1000111111101001001101101 = 18862701
1010010011011000111110111 = 21606903
1010100011101111100101110 = 22142766
0011110100101111110101010 = 8019882
1001101000111111100100111 = 20217639
1011001101111001110110100 = 23524276
0101011110000111100101111 = 11472687
0111001110101010110111001 = 15160761
0010011110011001101111011 = 5190523
1111100001100010111011110 = 32556510
0110111110001101010001111 = 14621327
0111101001101001011110110 = 16044790
0111110111000101010011011 = 16485019
0110011111010101010110011 = 13609651
0110111001110100101110011 = 14477683
1111100001111101000110101 = 32569909
1101111110011011110000001 = 29308801
1101110101101101101010010 = 29023058
1101000001101110110011111 = 27319711
1111011001000011010111011 = 32278203
1101111100101100010101110 = 29251758
1100010110001110101111101 = 25894269
1001101111110110101010100 = 20442452
1000110111001100101111011 = 18585979
1011101100001101011011110 = 24517342
1111001100101001011101110 = 31871726
0101000110111110011010111 = 10714327
1111110101010010101000111 = 33203527
0101110101101011001110011 = 12244595
1001111010101010011101110 = 20796654
1011100001000111111010111 = 24154071
1011100110111111000001110 = 24346126
1111100100101011110011100 = 32659356
1110111110110101100000101 = 31419141
1010100111110100110011101 = 22276509
1110010010110111001111001 = 29978233
1011011111110101110001000 = 24112008
0101011100110100110101111 = 11430319
1101011000101110001101111 = 28073071
1101101111101011100010100 = 28825364
0011011000100111001111111 = 7097983
1010111111100000001110111 = 23052407
0111101011000111001111001 = 16092793
0101100110110011111011001 = 11757529
1111010111001100001001111 = 32217167
1110010110010011110111010 = 30091194
1011101100011111100110010 = 24526642
0000110111011101011111100 = 1817340
1010110011100111111100100 = 22663140
1000111101111001111001001 = 18805705
0111100011011111111100000 = 15843296
1101110110110011100001101 = 29058829
0001011111010111001110110 = 3124854
1000011101111110110100101 = 17759653
1010010110110011111010110 = 21718998
1111011001100101110000111 = 32295815
1011100011001011101010111 = 24221527
0101011100011101100101111 = 11418415
0111110111110100110001001 = 16509321
0111001011011111010001101 = 15056525
1101100100111110001011011 = 28474459
0100111111000101010111110 = 10455742
0100111111110101001100011 = 10480227
0101100101011110111110001 = 11714033
0101000101111011101111001 = 10680185
0001111101101010011100111 = 4117735
1111000001001110101110111 = 31497591
0101111011110000111101010 = 12444138
1110110011100010001111110 = 31048830
0101010011111100110111001 = 11139513
0111111111001011010010010 = 16750226
0111111101010001111000101 = 16688069
1001101001110100101101111 = 20244847
0110000111111100110001111 = 12843407
1111111010001101010110100 = 33364660
1001110011001111110010110 = 20553622
1101100101101010110011110 = 28497310
1110111111000011001000111 = 31426119
1111001111101010001101001 = 31970409
1101101101001101100011110 = 28744478
0011111011110101011001100 = 8252108
0101010111110101101101010 = 11266922
1000001011111001001111111 = 17166975
1111101111110000000100111 = 33021991
1010111101010011110001110 = 22980494
0111110100101110101110001 = 16407921
0011110011110010101011110 = 7988574
0011011101110001011111001 = 7267065
0111011011111000001101110 = 15593582
1000100101111010110011111 = 18019743
1011100101011101100101011 = 24296235
1111001101111010010100011 = 31913123
0110010011001111111101100 = 13213676
1101101111101001010001110 = 28824206
0011100111010010101101111 = 7578991
1111011001101110000111100 = 32300092
0100110010101111011001111 = 10051279
1010001010111101101111010 = 21330810
0110110101100111001101101 = 14339693
0111010111110001010110101 = 15458997
0011010011111001011101101 = 6943469
0010101011101101110111010 = 5626810
1011110011000011011111100 = 24741628
0111011101001001010011111 = 15635103
1101100010010111001101111 = 28388975
0011011111000111001111100 = 7310972
1111101000100111101100101 = 32788325
0110111100100010110111101 = 14566845
1110011011011001110100011 = 30258083
0110001011011010110110111 = 12957111
0101101000011110011111110 = 11812094
1111010010011111001111000 = 32063096
0011100111111110010100011 = 7601315
1110100111011111101000100 = 30654276
1101110001010001001111111 = 28877439
1011111010011111011000010 = 24985282
1110101101111110100000110 = 30866694
1111101010001101010101101 = 32840365
0001111010001111011101110 = 4005614
0010010111111101100110011 = 4979507
0010010111001111111010101 = 4956117
0010001100111111010111101 = 4619965
0110011111001101111000101 = 13605829
1101110011110001000110111 = 28959287
0100101111111001100101101 = 9958189
1010001011101110111101010 = 21356010
1011101001011011111001100 = 24426444
1001111111011011000100110 = 20952614
0001110011111111010011001 = 3800729
0011101011001001111011110 = 7705566
1111111000011010100100111 = 33305895
1111101000000111111101001 = 32772073
1100111111110001001100110 = 27255398
0101100001111101001110111 = 11598455
1110011010110110100011110 = 30240030
1001101101111010110010110 = 20379030
0111110001111011101011000 = 16316248
0100111010110110101011110 = 10317150
1101011011110001101000111 = 28173127
0001011110101101101100111 = 3103591
1100111101000111110101010 = 27168682
0011111110110100001111100 = 8349820
1011110111001011000111100 = 24876604
0011111110110000101101011 = 8348011
1010101011111100011100101 = 22411493
0101101111111000011101001 = 12054761
0101011110011111010111000 = 11484856
1011110001111100101101010 = 24705386
0011011110001010101101111 = 7279983
0111001000110101111101110 = 14969838
1110011011100001101111001 = 30262137
0110100101011101111100011 = 13810659
1000111111110010100101011 = 18867499
1011000101111110011011001 = 23264473
0010010110111010111011011 = 4945371
1101101101001000101110111 = 28742007
1010110001100011111111010 = 22595578
0110110101111110100010101 = 14351637
1111101000011011101101010 = 32782186
0111110001110001001111011 = 16310907
1000101001101001011111111 = 18141951
1011010011010011110101011 = 23701419
1101001101100101001110111 = 27708023
0011011111000011111001101 = 7309261
0111110110101010110100101 = 16471461
0110000011101110111001111 = 12705231
1111100100001011001111011 = 32642683
1111100100111100110111000 = 32668088
1010110111100100110100111 = 22792615
0111101110010011101110001 = 16197489
1111011101010010011001110 = 32416974
1010010111111100110011001 = 21756313
1101000101110111101110001 = 27455345
1111110110100100110010110 = 33245590
0111010111010111011101000 = 15445736
1011110000101101001111110 = 24664702
1110011010011001100110111 = 30225207
1111110110000011011100101 = 33228517
0011001101111001101001111 = 6746959
0111110011010110101001101 = 16362829
1110001111011010010100111 = 29865127
0101101110011010111011001 = 12006873
1100110001111101101111000 = 26803064
1011101110101101011001010 = 24599242
0010000101111101011101111 = 4389615
0001111100111000111011101 = 4092381
1101001111100101010111100 = 27773628
1010101001110110111100011 = 22343139
1111110001100110001010111 = 33082455
0110000101111111000111110 = 12779070
1101001010101101101001111 = 27614031
0111000111010110110011011 = 14921115
0010101010011110111011101 = 5586397
0010110001101001111111011 = 5821435
1010100010011011111110011 = 22099955
1011001001100110100111111 = 23383359
0111101101110011010110100 = 16180916
1011011110011001001111001 = 24064633
0011000111101101100111011 = 6544187
1111111010001010111011000 = 33363416
1111001011010001011101101 = 31826669
1011010101011101110100011 = 23772067
0011000010111011110111110 = 6387646
1110101101110100101011100 = 30861660
1111101000100111011010101 = 32788181
1011110011001011111110000 = 24745968
0100110111111111010100001 = 10223265
1000101101011110100111110 = 18267454
1001100001010111111110101 = 19967989
0010100010001101111111111 = 5315583
1100100101110011111110100 = 26404852
0011011111010110001101110 = 7318638
1100111001101001011101011 = 27054827
0000011011111000111111011 = 913915
0001111111111100101011000 = 4192600
0101010111010111111000011 = 11251651
1000001110011101101110111 = 17251191
1110001001000111011110111 = 29658871
1111111010001000100011111 = 33362207
0101010110011111101100011 = 11222883
1101010011111011100110001 = 27916081
1011000011111110110011010 = 23199130
0001111000111011011100111 = 3962599
0111110010000110011111011 = 16321787
0110101110111100101000111 = 14121287
1010110011111110010001011 = 22674571
0011101101111111000010011 = 7798291
1111010000011010111011011 = 31995355
1110010010010110111001111 = 29961679
1110100000011111110011101 = 30424989
0101111011100011111110000 = 12437488
1001111111001011101100001 = 20944737
0001101011110101001111110 = 3533438
1011110111100111001001010 = 24890954
1001010011011111010100111 = 19512999
0001110001110110100111111 = 3730751
0010010101001111111100111 = 4890599
1101111010101110000011110 = 29187102
1100110111111001001100101 = 26997349
1000010111010111011101011 = 17542891
0111111111100001101100010 = 16761698
1110101010101010111101001 = 30758377
1111010110010110001110011 = 32189555
0101110111110100011000111 = 12314823
1101010100110110111101100 = 27946476
0110001111101110011110001 = 13098225
0110011101010111011010110 = 13545174
0001001111011011111101001 = 2602985
1100101110110110110100011 = 26701219
1010111001100100111110101 = 22858229
1110000101100100111110111 = 29542903
0111100111111011000101001 = 15988265
1100101001111011011110001 = 26539761
0101110111110100110110100 = 12315060
0010001111001101111111001 = 4692985
0101011110111111100010010 = 11501330
1110101110011001010101011 = 30880427
1011111010001001111010011 = 24974291
0101100111111101100011100 = 11795228
0100010101101111110011011 = 9101211
1011100010111101001110110 = 24214134
0111001111110011010001011 = 15197835
1101001111101001100101011 = 27775787
0100101111100011111110010 = 9947122
0010101011011001110111011 = 5616571
0111011111011100010010011 = 15710355
1101101010000111101111010 = 28643194
0010010111110101111101001 = 4975593
1000111101011100010111110 = 18790590
0101100110011100110111101 = 11745725
1101101110000100111101101 = 28772845
1011100011100110010111101 = 24235197
1000110111000100111110111 = 18582007
1010111111101001000001111 = 23056911
1000000101111011101110111 = 16971639
1011101111010010100011011 = 24618267
0111110001101111010100110 = 16309926
0111011011100101110001101 = 15584141
1011011101100110001111010 = 24038522
0011011011111111010100100 = 7208612
1110001111101101101000101 = 29875013
1010010011110010101111110 = 21620094
0101011111100110111010100 = 11521492
1011010101010100111111001 = 23767545
1111110100001011011010101 = 33167061
0111011011001101011100011 = 15571683
0100011010111101111110100 = 9272308
0110111110011001011011010 = 14627546
1110001100011101111001101 = 29768653
1010111110100010100111110 = 23020862
1111101111000100010001111 = 32999567
0101011010110101100101111 = 11365167
1110010011100100111110101 = 30001653
1100110110111110101100001 = 26967393
0100111101011110100100111 = 10403111
1101010110101001111111000 = 28005368
1010111110010111001101001 = 23015017
1011001100100111010101111 = 23482031
1101000111011111110100100 = 27508644
1110101110110111000010101 = 30895637
1010011110111110010011010 = 21986458
0111010001111011110100101 = 15267749
1101001111101110110110000 = 27778480
0011101101110001011110110 = 7791350
1111010010001110111111000 = 32054776
0001111101011100111110100 = 4110836
0101110000011101111011011 = 12073947
0010101110010100111110111 = 5712375
1101101000011101010111011 = 28588731
0101110100110111011010011 = 12218067
1110111010001110011001011 = 31268043
1110110101010111101011000 = 31108952
1101010001111001011110101 = 27849461
0110000101101111101110011 = 12771187
1010110100001111110111100 = 22683580
0111010011111110010110010 = 15334578
0111011010110101111100100 = 15559652
1011010101111101100010101 = 23788309
1101100101111001000101111 = 28504623
1000011011101000111011111 = 17682911
1001000011101010111011111 = 18994655
0000010111101111101101101 = 778093
1110000010111011011111001 = 29456121
1110111100101111000010011 = 31350291
1010101001111111101001100 = 22347596
1101101110111001010111000 = 28799672
1011001101010111101101010 = 23506794
0100100110101110111101110 = 9657838
0010011111001111011110001 = 5218033
1010011111101101010110010 = 22010546
1110110010101110110001101 = 31022477
0110000111011101101101101 = 12827501
1101010010100111011111001 = 27873017
0000101011110110101111011 = 1437051
1010100110011101111110001 = 22232049
0001011010011011111001111 = 2963407
0011011111101011100011010 = 7329562
1010010101100111101100111 = 21679975
1011110101101100111001010 = 24828362
1111100110111101100000110 = 32733958
0011110001101110111110100 = 7921140
0111111000110100101011101 = 16542045
0101111011101100001101110 = 12441710
0011111110101010101101001 = 8344937
0110101110111001110101100 = 14119852
0001110101101010110110111 = 3855799
1111001101101111110010000 = 31907728
1001101010111010110111100 = 20280764
1100111010010110111100110 = 27078118
1101010111101101101000101 = 28040005
1010111111001101011010010 = 23042770
1000100011001111110111011 = 17932219
0110101001011100010111111 = 13940927
1111110010111001010100110 = 33125030
1100111011010100111001011 = 27109835
1111010100011011100110101 = 32126773
0010111111111100100101001 = 6289705
0001100011110111011011110 = 3272414
1001111010110111100011100 = 20803356
1011000111001111101001101 = 23306061
0001100111111000111111100 = 3404284
1001111101111000110111000 = 20902328
0011111101000001111101011 = 8291307
0010011010111101101011101 = 5077853
0111011010101010111000111 = 15553991
1111010011001110101011001 = 32087385
1000011011100111011101101 = 17682157
0011110000111011110110110 = 7894966
0100111101001011101101011 = 10393451
1000111111011001010100111 = 18854567
1111100111011001010101100 = 32748204
0101111111011100001001110 = 12564558
1001101110110100010111011 = 20408507
0010111011011110011100110 = 6143206
0111001111101000101011101 = 15192413
1011100011011111101011000 = 24231768
0110001111110010100111110 = 13100350
1001111000111001111101100 = 20739052
1111001111000100101100111 = 31951207
0011010111101110111100010 = 7069154
1001111101100001011101011 = 20890347
0101110110011100001101111 = 12269679
1100011111011111000110001 = 26197553
1110011000100110110111011 = 30166459
0101011101110001101011101 = 11461469
0111100111110000111011010 = 15983066
0010110010011110101111101 = 5848445
1011111001100111011100001 = 24956641
1100111001001111100101110 = 27041582
0111011010111010111100001 = 15562209
1010001111001011010110111 = 21468855
0011100111110001101111001 = 7594873
1000110101100110111110011 = 18533875
0001110111101111100010101 = 3923733
0100111100001101110011111 = 10361759
0111101101111110010100001 = 16186529
1010011111010000111101011 = 21996011
1101011101111101100000101 = 28244741
0100010000110111111011111 = 8941535
0001110001011100011111111 = 3717375
0101101010011110011011110 = 11877598
1000110111010001101111011 = 18588539
0110111100010111011100101 = 14560997
0110111101011100001110011 = 14596211
1010011100100110101111011 = 21908859
1011110111111001000100110 = 24900134
1001111110111010010101010 = 20935850
0010111101100111101101010 = 6213482
0000111111000101011101111 = 2067183
1101010011110101100101101 = 27913005
1011011110011000110001111 = 24064399
0111011111100000001111011 = 15712379
1110001101100111011001101 = 29806285
0111110111010111111000000 = 16494528
0101101011011111011101000 = 11910888
1010100011111011001010111 = 22148695
0110111011001110101101010 = 14523754
1010000101110110011110111 = 21163255
0111101011101100100111001 = 16111929
1001110101100011011111001 = 20629241
0110111101100001111010110 = 14599126
1100101101101111010011010 = 26664602
1101011111111000100010101 = 28307733
0111010111010001101101110 = 15442798
1101101001111111001110000 = 28638832
1001101001011111111110000 = 20234224
0110100001111110110011110 = 13696414
0101011001111101110110010 = 11336626
1010100101101111110011001 = 22208409
0111001010010001011111111 = 15016703
0110111011100111110110000 = 14536624
1101110001111100010110110 = 28899510
1100101011100010111101101 = 26592749
1011000111100110101110110 = 23317878
1100011101011011010101110 = 26130094
0110010100111011100101111 = 13268783
1011011011110101111000001 = 23980993
1110101011110100001111001 = 30795897
1100101101010111101101001 = 26652521
0111100111101010001001111 = 15979599
1000111010011101101110011 = 18692979
0010111011111000011101110 = 6156526
1101100110111001011111000 = 28537592
0000011101110011111001111 = 976847
1100010011111101100100111 = 25819943
0111000111010111010011110 = 14921374
0110001010101110110111011 = 12934587
1011010001011101010110111 = 23640759
1010101110110111000110101 = 22507061
1111000110001011101001111 = 31659855
0010100011011011111101011 = 5355499
0011011101111101110110000 = 7273392
1010101101110010011111010 = 22471930
1100010110111101010111010 = 25918138
1000101101100101111001111 = 18271183
1001111110100111010111000 = 20926136
1001110110111110101100100 = 20675940
1111010001000010111101111 = 32015855
1011001011111000111001011 = 23458251
1010111001101001010101111 = 22860463
1011100011011110011110001 = 24231153
1110011001110110010111001 = 30207161
0001111101110110011101001 = 4123881
1100001110101110101100111 = 25648487
0010001100111101111011101 = 4619229
0111110011001111101000011 = 16359235
1110111010000111100110101 = 31264565
0100111100101001111110011 = 10376179
0110000100011111101011111 = 12730207
1110110010011010100011111 = 31012127
1100011111011110100001110 = 26197262
1100111000111101010011110 = 27032222
1001001100101101101011111 = 19290975
1110100111101101101100001 = 30661473
1111111110000100110010101 = 33491349
0111110100111101000101101 = 16415277
1111011100101010101110001 = 32396657
0011111110100110100110101 = 8342837
1011100001111101111100010 = 24181730
0101100101111111010101100 = 11730604
0011101111001111000101011 = 7839275
1001011111100100110101011 = 19909035
1001011111101010111100100 = 19912164
0110101000001101110111111 = 13900735
0111111010001011001011011 = 16586331
1011010001111101110101001 = 23657385
1101110111100101001110010 = 29084274
1111101101111011001010000 = 32962128
1010011101100100011101111 = 21940463
0100101110111100110101101 = 9927085
0101101010110110001111011 = 11889787
1111000011001011011111001 = 31561465
1100100010010011111101111 = 26290159
1011011011111001101110000 = 23982960
0010011011110101101100111 = 5106535
1001100101110101111011001 = 20114393
0110110110101011101010011 = 14374739
1100100110101110101101110 = 26434926
0100110011110011110111100 = 10086332
0111111111000010101011001 = 16745817
1011111111010110000100110 = 25144358
0011001100110011110101111 = 6711215
1110001100011111010100111 = 29769383
1100110011111001111110000 = 26866672
0111110111110000011110001 = 16507121
0010111111001001011111001 = 6263545
1101011111011100000100111 = 28293159
0001111100110111100100111 = 4091687
0011111000010110101111110 = 8138110
0010110100111010111011101 = 5928413
0011101001011101011011110 = 7650014
1001011101110100011011011 = 19851483
1111000100111110000111011 = 31620155
1000111111101011110001010 = 18864010
0100001110100111110111101 = 8867773
1010101001101011011111001 = 22337273
0110100111110101101001101 = 13888333
0111001111110101011001100 = 15198924
0110100111111110000001111 = 13892623
1000001111111101001110011 = 17300083
0010110100111110001011111 = 5930079
1101101100101110001111010 = 28728442
0111111101001110100010011 = 16686355
1010101011000111100111101 = 22384445
0001100100111100111111101 = 3308029
1101010110000111101011110 = 27987806
1111110111010100011100010 = 33269986
1111100001010111100010111 = 32550679
1110101110110011000100111 = 30893607
1010111011101110100011010 = 22928666
1100100111100110011100111 = 26463463
1111111011100110001010010 = 33410130
1110001010111111010101010 = 29720234
1011101011101011010101010 = 24499882
1110100001111001110011110 = 30471070
0110011101011111110000110 = 13549446
0101100111010001101111011 = 11772795
0011101111011011101000101 = 7845701
0001110111110000011011111 = 3924191
1111110001100010001111110 = 33080446
0011110110110100011011011 = 8087771
1100110100111001110001111 = 26899343
0110100001110011101111101 = 13690749
1001011011010000111111101 = 19767805
1100111001001110111100101 = 27041253
1011001001011001110101111 = 23376815
0101011011001110110111001 = 11378105
0111110011011110000101101 = 16366637
1101101010010111101110001 = 28651377
0110100011111111000110101 = 13762101
1001111011110011001101100 = 20833900
1111110011101100010100101 = 33151141
1001100101010001111110111 = 20095991
1111101001110110000001111 = 32828431
0111111110100010111010100 = 16729556
1110110101010010100110111 = 31106359
1111010110110000111100110 = 32203238
1011010111111001001011100 = 23851612
1100111111010001001111001 = 27239033
1111001011001101101101100 = 31824748
1111101111011100101000010 = 33012034
1001011110101110111010010 = 19881426
1011111110010011010110001 = 25110193
0011111111101001101010010 = 8377170
0100011011111100001111101 = 9304189
0001111000101111110111001 = 3956665
1001011111100110110001101 = 19910029
0011001100111101111100110 = 6716390
0110110001111010011011110 = 14218462
1010100011111110010011011 = 22150299
0011111001001101101111010 = 8166266
1111101101110100110001001 = 32958857
0011101111100011111100010 = 7849954
1011110011100111000101101 = 24759853
1011110001101010001111011 = 24695931
1110011110101000001111110 = 30363774
1010010100100011111111110 = 21645310
0100111011110011110100011 = 10348451
1001110111110110001110010 = 20704370
1001101101110100111110100 = 20376052
0001011111111100111001001 = 3144137
0010111110111110001110001 = 6257777
1011110011111010010110010 = 24769714
1001001000101101101111111 = 19159935
0101111001111011001111000 = 12383864
0111010110010111101110100 = 15413108
1100001111101110110110001 = 25681329
1001110100111101011001110 = 20609742
0100101111101011100110101 = 9951029
0011110110100101010111011 = 8080059
1010001111101010010111011 = 21484731
1000011001110111111011001 = 17625049
0110111011000111100111100 = 14520124
0011110111110101111000001 = 8121281
1100111101101010010011101 = 27186333
0001010100111010101111111 = 2782591
0111100100001111111101100 = 15867884
0111110110110101001101010 = 16476778
1101000110101111110111000 = 27484088
1111101100101110010000111 = 32922759
0011101011100010011101111 = 7718127
1000011110100010110111111 = 17778111
0001101101011001101011111 = 3584863
1101010111010011000110111 = 28026423
1110000101111101001001111 = 29555279
0001110111011100111010011 = 3914195
1010100101100111010101111 = 22204079
1111010101110001010011011 = 32170651
1010110000110110111110101 = 22572533
1111110010110110011000101 = 33123525
1100101001001110111111010 = 26516986
0011100011110111110101001 = 7466921
0000101011111110110110101 = 1441205
1000111010101001100111111 = 18699071
0100111101101110111010001 = 10411473
1100101110011100101110011 = 26687859
0000110101110111010111101 = 1765053
0011001110011000111111110 = 6763006
1101111000101000111110011 = 29118963
1011110011111000000011111 = 24768543
0111100110000100111110111 = 15927799
0111000011011011100011111 = 14792479
1001011111000101011110101 = 19892981
1100110110100110101100111 = 26955111
1011111000101011011001011 = 24925899
1000010011111011110011110 = 17430430
1110101111001110011100010 = 30907618
1000101101110111000011111 = 18279967
0111101000110100101110111 = 16017783
1100111011011111100010010 = 27115282
0110111011001110110110001 = 14523825
0010111010111101100110011 = 6126387
0110011101001111001101101 = 13540973
0001110101110110101011101 = 3861853
1110000101010110110110111 = 29535671
1101100111110000011100111 = 28565735
1100010101111101010101110 = 25885358
1101111010111001000111010 = 29192762
1001101101101101010011110 = 20372126
1011110001011111001100011 = 24690275
1111110010100100111011010 = 33114586
0001001111111110100101110 = 2620718
0110011011110111010110001 = 13495985
1101110111011001010000111 = 29078151
0010100011011111111010011 = 5357523
0111000111101000110101111 = 14930351
0100011110110110011101101 = 9399533
1100111110110000111101001 = 27222505
0111101100110101101101100 = 16149356
0011110010111110111010001 = 7962065
1111111110100000001101101 = 33505389
0111100010111010010110111 = 15824055
1111011011111000011101000 = 32370920
0010101100011111100111110 = 5652286
1111010111000000111010111 = 32211415
0011100111100111011101001 = 7589609
0011101111101111001100001 = 7855713
1100111001110110111110000 = 27061744
0111100011111100001011101 = 15857757
1100101000101101101101111 = 26499951
1011110110100011010010111 = 24856215
1110001011010111011110100 = 29732596
0111011010110001101110110 = 15557494
0110111110010111011010010 = 14626514
0001101110110111001011011 = 3632731
1110101101100111100011010 = 30854938
1110110011010111000110110 = 31043126
1101110100101110000101111 = 28990511
0111100101111100011001011 = 15923403
1101111101000111010000111 = 29265543
0111011100001101110011011 = 15604635
1110100011011011011011001 = 30521049
1001111001110110110100110 = 20770214
1110111000010111001100111 = 31207015
0001010001111001111110111 = 2683895
1100010100111101101101110 = 25852782
1100110010111100111110100 = 26835444
0110101111111010000101110 = 14152750
0010110110111101010011011 = 5995163
1101011110101010000011111 = 28267551
1111101100110001110110001 = 32924593
1111010011011101110001001 = 32095113
0001001101110011111001111 = 2549711
0000001101110111110111101 = 454589
0000111100111111010101011 = 1998507
1101010010011011111010101 = 27867093
0101111011010101011001110 = 12430030
1101110110001101100011011 = 29039387
1011110011001001110100111 = 24744871
1010111100110100010111110 = 22964414
0101001100111101111101001 = 10910697
0010100101011011011111011 = 5420795
0010111110110100111100011 = 6253027
0010111101111010010110110 = 6223030
1110101011001111001110010 = 30776946
0101101111100100100111011 = 12044603
1100100011010011011011111 = 26322655
1111100110101011011000101 = 32724677
1101111010100001101011011 = 29180763
1100011011011000110110111 = 26063287
1100010011110111010111001 = 25816761
1011100011011110110010011 = 24231315
1101101110101100111010001 = 28793297
0111000101101011111101010 = 14866410
0111011100110001110011101 = 15623069
1100100001110010110111111 = 26273215
0111111111110000110011000 = 16769432
0011110001010111100111011 = 7909179
1010101111011101101010001 = 22526801
1101110110100101010100111 = 29051559
1110111000011011110110100 = 31209396
0110011011100101100111011 = 13486907
0011010110010010111011111 = 7022047
0101011100100011110011111 = 11421599
1100101011110111010101001 = 26603177
1100000001111111011110110 = 25231094
1111101000111110001110010 = 32799858
1101010110110110100111010 = 28011834
0010100000011111111111101 = 5259261
1011111011101001010100101 = 25023141
0101101001000111101110111 = 11833207
1010101110111111000010110 = 22511126
0100010011111011111101100 = 9041900
1110001011110101101110001 = 29748081
0110111101100111100010101 = 14602005
1100111001001011011110011 = 27039475
1001011110011100010110111 = 19871927
1111001111010111000101001 = 31960617
1011001101010011111001101 = 23504845
1000101101111111010101001 = 18284201
1111001100110011101111000 = 31876984
1011100101111011011010010 = 24311506
1100101101101111011000110 = 26664646
0011101101111111000001110 = 7798286
0011011101010000110111111 = 7250367
1100001100011011011111110 = 25573118
0011011110101011001111010 = 7296634
0011100111000110110011111 = 7572895
1101101111000110010011011 = 28806299
1011101011001011010110011 = 24483507
1111101010110100100110110 = 32860470
1101111001000110011011101 = 29134045
1000110111011010100111110 = 18593086
0001100010110111010111111 = 3239615
0111010011010101110101011 = 15313835
0100110010111111101100011 = 10059619
0001001110111111101010101 = 2588501
1010010011111100111100101 = 21625317
1111010111101000111001100 = 32231884
0100101011110111010001111 = 9825935
1011111000001011100111110 = 24909630
1111110101110001011100100 = 33219300
0110101011101010101110011 = 14013811
0001111010011111011101100 = 4013804
1100101010110011001011111 = 26568287
0010011111100101011110110 = 5229302
1010101111000101110001111 = 22514575
1101000110110110111000111 = 27487687
0010111010110010111110011 = 6120947
1010101111110011100101010 = 22538026
0111111100001110101011001 = 16653657
1010010011101001111110101 = 21615605
1110110100100111011110001 = 31084273
1111010001001001101110111 = 32019319
0110110111000110101111001 = 14388601
1111011011010101010011001 = 32352921
1010111101111000110001011 = 22999435
1111111010100001111100001 = 33375201
0011111011111011100100001 = 8255265
1110101011101111011000100 = 30793412
0111101011110110000101101 = 16116781
1111110111011000101100001 = 33272161
1001111001111011010001110 = 20772494
0101101100010100110111111 = 11938239
0011101111111000011110001 = 7860465
0011110101111100100101110 = 8059182
1010001111001101100111011 = 21470011
1001000011111110100111101 = 19004733
0111111011011100001011001 = 16627801
1110010111001101100111001 = 30120761
0101111100100100111110110 = 12470774
1001101010111011101111000 = 20281208
1011010010110111111000011 = 23687107
1111001011000111010111010 = 31821498
0101110101101110100110101 = 12246325
1011101111101010010001011 = 24630411
0101100111011000001111111 = 11776127
0101100011010110011011111 = 11644127
0110001110110111010111010 = 13070010
0010011011110111011011001 = 5107417
1011101110011100101100110 = 24590694
0101100110001111101111010 = 11739002
1111010010111001011101001 = 32076521
1100110101111011111100000 = 26933216
1110111000111110110100010 = 31227298
0110010111011110100101101 = 13352237
1011110011001001111001011 = 24744907
0001001101111111110101001 = 2555817
0110011101010111101100110 = 13545318
0101111010111110011101000 = 12418280
0011000001111011111001111 = 6354895
1011110101010111101000011 = 24817475
0110001111011110111110000 = 13090288
1010110011001011101110011 = 22648691
1000110110101111001111100 = 18570876
0111001011111000111110001 = 15069681
1110111101011011100010010 = 31373074
1111100111010111010010010 = 32747154
1010101001101010011111110 = 22336766
1110010101001111011010011 = 30056147
1011110111010011110001001 = 24881033
0011110011011101101101100 = 7977836
1010111000111101011011001 = 22837977
1001111111110000110000111 = 20963719
0010011110111011011110001 = 5207793
0111001101111000001111110 = 15134846
1111000111101010001100111 = 31708263
1010100110001011111101110 = 22222830
1001011111100110001110011 = 19909747
1010101100001010111011111 = 22418911
1100101111111000010111001 = 26734777
0110110011101011101011010 = 14276442
0111101101110110000101110 = 16182318
1111101100111111000100001 = 32931361
0101001011011101010101111 = 10861231
0100010110101111011011101 = 9133789
1011010101110101110011010 = 23784346
0101111111100011100101010 = 12568362
0001111111011001001101011 = 4174443
1101100011101011101100110 = 28432230
0101001101011101111011010 = 10927066
0011011111110111001000110 = 7335494
1111000101111100000111101 = 31651901
0101011111111010000101101 = 11531309
0001111110100001110111011 = 4146107
1011101110001111001110010 = 24583794
0011111001101111001111000 = 8183416
0101111101100101110101001 = 12503977
0111100111000111010011110 = 15961758
1010111100110010110110110 = 22963638
1100010011111010111010011 = 25818579
1111010110101110000111010 = 32201786
0010001111001111001111011 = 4693627
0010101111111110000110110 = 5766198
1100000111111010100110111 = 25425207
1111011110101111010001000 = 32464520
0100110011101110011111001 = 10083577
1111100111010000100101111 = 32743727
1011011100101111000101110 = 24010286
0011111010001101101011011 = 8199003
1011101010010101011011101 = 24455901
1101011001000111111010101 = 28086229
1100101011011100101110110 = 26589558
0100101111111001011110100 = 9958132
0111001110000101111101011 = 15141867
1011001111111010010011001 = 23590041
1101100111100111110010001 = 28561297
1110110000001101011011111 = 30939871
1110100011111000001011111 = 30535775
1111001001111101100100011 = 31783715
1011000100110011011101111 = 23226095
0110000100111001111101111 = 12743663
0110111110010010011111010 = 14623994
0110110110101001110010111 = 14373783
0101011000111110111001101 = 11304397
1001010111001110111110010 = 19635698
0111100011100111100111010 = 15847226
1111011100010010001111101 = 32384125
1001110101101110101001110 = 20634958
1001111110101010101011100 = 20927836
1010100101111101011110001 = 22215409
1111110100010000010111111 = 33169599
1110011101010010100111110 = 30319934
1010110100011100101111011 = 22690171
1101101111110100100001110 = 28829966
0100110111100101111110100 = 10210292
0111000111111001111100100 = 14939108
1111100011101101110101000 = 32627624   

[melhor maneira de visualização]

Boa noite pessoal, agradeço a todos que responderam o post li todos e com certeza tirarei algumas conclusões para poder estudar meus números. Diante disso gostaria de dizer algo que eu acabei observando aqui, como eu acho bastante complexo tá analisando os 15 números(como já citei na abertura do post) eu analiso os 10 números que não foram sorteados(e o resto que sobra dos 25 é o que saiu, ou seja, um é complemento do outro), então diante disso percebi o seguinte: que se eu errar todos os números que não foram sorteados eu acabo acertando 5 números dentre os 15 que saíram... e a partir disso fiz a tabela:

10 - 15

09 - 14

08 - 13

07 - 12

06 - 11

05 - 10

04 - 09

03 - 08

02 - 07

01 - 06

00 - 05

(obs: a primeira coluna é dos números que não foram sorteados e a segunda coluna são os números sorteados). Talvez vocês já tenham percebido isso e eu como sou iniciante percebi essa relação agora, então a minha dúvida seria a seguinte, será que teria como arrumar um jeito do kra descobrir esses 5 números que de certeza vão sair em qualquer concurso da lotofácil? porque se descobrirmos eles a gente teria que trabalhar apenas em cima dos outros 10 números(para o prêmio máximo) que seriam sorteados, porém como a partir de 11 números pagam algo a gente já poderia obter algum lucro...

[melhor maneira de visualização]

Boa noite, comecei hoje a estudar hoje a lotofácil e vi que é complicado ficar analisando 15 números que foram sorteados, então uma maneira simples e interessante que achei foi analisar os 10 números que não saíram(que na prática é o inverso de analisar os 15 números que saíram), os senhores também fazem suas análises dos números assim? se tiverem mais dicas para facilitar e puderem listar aqui eu agradeço...

[Qual a formação dos amigos? Consegue usa ela pra loterias?]

Ciência da computação

[Probabilidade real de ganhar na mega-sena é de 1 em 1.947.792]

1 hora atrás, Pataca disse:

@Alex007  O que vc considera linhas no volante da Mega ?

 

01 11 21 31 41 51

02 12 22 32 42 52

03 13 23 33 43 53

04 14 24 34 44 54

05 15 25 35 45 55

06 16 26 36 46 56

07 17 27 37 47 57

08 18 28 38 48 58

09 19 29 39 49 59

10 20 30 40 50 60

 

acima temos 10 linhas. Isso é o que considero para meus jogos... Dá para "inventar" alguns filtros e eliminar muitos jogos que seriam praticamente "impossíveis" de sair... Se no jogo de hoje o cara jogasse nas linhas 3, 6 , 7 e 8 ele teria grande chance de acertar os 6 números ou ao menos 4 ou 5... pois neste sorteio saiu 2 números na 3 linha, 1 número na linha 6, 2 números na linha 7 e 1 número na linha 8... se aplicasse o "filtro" que citei anteriormente, que é eliminar todos os jogos que tenham mais de 3 números na mesma linha(ex:02, 12, 22, 32...) ele reduziria bastante também a quantidade de jogos a serem feitos...

[Probabilidade real de ganhar na mega-sena é de 1 em 1.947.792]

Em 27/10/2021 em 01:01, rockcavera disse:

Isso pode ser uma ilusão. Vejamos.

 

Para a probabilidade ser de 1 em 1.947.792, primeiro deve ser respeitada a condição de acertar as 6 linhas de 10. Ou seja, é uma probabilidade em cima de outra probabilidade. Já a chance de acertar as 6 linhas de 10 é 1 em 210. Portanto, a chance de se acertar jogando dessa forma é 1 em 409.036.320. Pior que escolher aleatoriamente 6 números dentro dos 60.

 

Posso estar errado, pois não sou nenhum matemático. Mas se você descobrir uma forma de acertar as linhas onde vão sair as dezenas, você com certeza vai aumentar suas chances. No entanto, eu não acredito em padrões lotéricos, pois se realmente as lotéricas são confiáveis, a aleatoriedade é impossível de se previr. Leia-se em aleatoriedade a forma real dela e não algoritmos que simulam a criação de aleatoriedade, como nos geradores de números pseudo-aleatórios.

No último jogo eu acertei as linhas, só não tive dinheiro suficiente pra fazer as apostas necessárias e nem tenho filtros suficientes para deixar uma quantidade de números que caiba no meu bolso para apostar rsrs,  sem contar que 6 linhas é o máximo que pode vir, geralmente vem 4 ou 5 linhas, para essa probabilidade existir a condição de que a pessoa sabe as linhas deve ser verdadeira, é como a ideia de fechamento que a pessoa escolhe uma qtd de números e faz os fechamentos para garantir uma quadra ou quina se os números sorteados vier entre os escolhidos... a questão da aleatoriedade ainda é algo não bem "resolvido" no campo da matemática e física... inclusive se a gente tiver algumas informações sobre certos objetos no universo conseguimos prever alguns resultados, por exemplo: é com essas informações que físicos e astrônomos conseguem prever qual a rota de um planeta ou um asteroide, etc... outro exemplo é: se a gente tiver informações sobre um dado e antes de jogá-lo pra cima fizermos os cálculos conseguiremos prever exatamente qual lado dele vai cair para cima(tais informações são: peso, velocidade inicial, altura e aceleração gravitacional do local)... a questão da aleatoriedade ainda é aberta, eu não pretendo chegar numa fórmula que me diga exatamente os números que serão sorteados, mas sim algum padrão que me faça ter uma maior aproximação do prêmio e com um pouco de "sorte" quem sabe não consigamos... espero que tenha compreendido meu comentário, apesar dos erros de português(ps: também não sou físico nem matemático)

[Probabilidade real de ganhar na mega-sena é de 1 em 1.947.792]

Em 23/10/2021 em 19:05, Pataca disse:

Uma boa redução é excluir 02 linhas e 03 colunas, jogando apenas com 28 dezenas.  Ou excluir 01 linha e 03 colunas, jogando  com apenas 35 dezenas. O "Padrão"  geralmente é : 01 linha ou 02 linhas ficam fora do sorteio. Estou considerando linhas Ex.: 01 02 03 04 05 06 07 08 09 10 . Colunas: 01 11 21 31 41 51

Essa também é uma boa estratégia que pode ser aplicada...

[Probabilidade real de ganhar na mega-sena é de 1 em 1.947.792]

Em 23/10/2021 em 17:42, PS_(Soares) disse:

Eu já estudei isso há algum tempo atrás, e havia conseguido bons resultados.

 

Mas sempre me deparava com algumas linhas finais .

 

Isso só funciona se você souber exatamente quais são as 36 dezenas exatas, ai tudo bem, como eu tinha algumas possíbilidades em torno de 3 a 6, não adiantava muito, afinal como você vai jogar isso?

 

Ou seja o problema sempre vai ser isso, no fim você não consegue ter apenas uma única linha e jogando sozinho você não consegue jogar.

 

Mas para quem se ajuda tudo é possível!

 

De modo geral, eu não me importo em ajudar ou mesmo somar esforços...

 

O que eu faria nesse sentido ?

 

Faria primeiramente o seguinte levantamento;

 

0001 (11/03/1996) 04 05 30 33 41 52-[1,1,3,4,5,6]
0002 (18/03/1996) 09 37 39 41 43 49-[1,4,4,5,5,5]
0003 (25/03/1996) 10 11 29 30 36 47-[1,2,3,3,4,5]
 

Veja se isso pode ajudar, como faz muito tempo, eu não tenho mais os controles e me lembro apenas disso, mas se você realmente quiser estudar e compartilhar aqui,  conte comigo.

 

Também, não vou ficar perguntando o que você fez ou como fez, quase 90 % fazem isso, para mim tanto faz, se cada um fizer sua parte chegamos lá! O que você não conseguir fazer quem sabe eu consiga.

 

Se você quiser fazer esse controle e postar posso ajudar.

 

Se for apenas dicas, deixo essa!

Boa noite meu amigo, estou um pouco ausente pois ando estudando para o concurso da PC- PB(sou desempregado atualmente), mas então eu iniciei por essa observação das linhas por enquanto não tenho ainda algo mais aprofundado, o que eu percebi foi que se a gente escolher alguma linha devemos eliminar as sequências de 3, 4, 5 e 6 números da mesma linha, pois são raras acontecer ou algumas nunca aconteceram... exemplo: 10,20,30,40,50,60. se eu selecionar esta linha eu tenho que criar uma condição onde os jogos que tenha mais de 3 números desses 6 juntos sejam eliminados... este seria o primeiro filtro,  a partir dele podemos aplicar outros... e se a gente tiver sorte, uma hora iremos acertar essas linhas e garantir ao menos uma quadra dependendo da quantidade de jogos que fizemos. A partir disso podemos ir eliminando os jogos improváveis de sair e também criando outros filtros para serem aplicados a cada jogo... por enquanto o que eu tenho é isso, mas como já falei anteriormente, pretendo me dedicar mais a esse estudo e obter algum padrão para obter pelo menos uma quadra em cada jogo e assim esperar a sorte pra acertar uma "sena" sem gastar tanto dinheiro dependendo 100% da sorte...

[Probabilidade real de ganhar na mega-sena é de 1 em 1.947.792]

Boa tarde pessoal, estive analisando aqui sobre a mega-sena e vi algo que me chamou a atenção, os 60 números são divididos em 10 linhas de 6 números cada, então como a mega-sena sorteia 6 números, no máximo 6 linhas(das 10),são selecionadas em uma aposta, ou seja são apenas 36 números que realmente tem a possibilidade de sair, os outros 24 a possibilidade de sair é 0. Só que aí entramos em um problema, ninguém sabe quais são essas linhas e esse é o meu direcionamento de estudo que venho adotando nos últimos dias. Tenho que descobrir quais linhas que não terão números sorteados(como mencionei anteriormente 4 delas é de certeza não sair, mas dependendo do sorteio pode ser 4, 5 ou até 6 linhas que não tenha nenhum número sorteado) e fazendo o cálculo da probabilidade com os 36 números (36x35x34x33x32x31)/(6x5x4x3x2x1) chegamos ao valor de 1.947.792. essa é a probabilidade real se a pessoa souber quais são esses 36 números que podem ser sorteados ou quais 6 linhas que podem vir ser sorteadas, e como já falei, dependendo do jogo essa quantidade de linha pode diminuir mais ainda e assim aumentando mais ainda a probabilidade do jogador conseguir acertar os 6 números... Se alguém tiver algo a mais para complementar será de grande valia para adotarmos boas estratégias que nos fazem ficar mais próximos do tão sonhado prêmio da mega-sena...

[Cálculo/Estatística para garantir uma quadra.]

5 minutos atrás, Pataca disse:

@alex007.jogador Quando o premio está bem acumulado, utilizo esta matriz em bolões com os amigos. Boa Sorte

Obg, eu percebi um certo "padrão" que se repete em pelo menos 25 jogos  do ano em que num conjunto de no máximo 33 números(geralmente vem entre 26 e 29 números, e ainda dá para reduzir bastante essa quantidade de números com alguns filtros...) tem uma quadra ou quina ali embutido, fiz um programa que me mostra tais números para apostar, o problema é que não sei ainda qual será o jogo que vai vim  1, 2, 3, 4 ou 5 números sorteados , mas ainda assim irei dedicar mais um tempo para tentar descobrir... foi nessa artimanha e com um pouco de sorte que acertei uma quadra com 19 jogos no mês de julho... pretendo fazer algo que nos garanta pelo menos uma quadra em pelo menos metade dos jogos em que jogarmos... boa sorte pra ti também...

[Cálculo/Estatística para garantir uma quadra.]

5 minutos atrás, Pataca disse:

42 jogos com 18 dezenas >>> garantia de quadra acertando 06 entre as 18 dezenas.

 

  Ocultar conteúdo

01    04    05    07    08    17
07    08    09    11    13    17
07    08    10    12    14    17
07    08    15    16    17    18
02    03    06    07    08    17
01    02    07    09    14    16
01    03    07    11    12    18
01    06    07    10    13    15
04    06    07    09    12    18
02    04    07    10    11    15
03    04    07    13    14    16
03    05    07    09    10    15
05    06    07    11    14    16
02    05    07    12    13    18
01    06    08    09    10    16
01    02    08    11    14    18
01    03    08    12    13    15
03    04    08    09    14    18
04    06    08    11    12    15
02    04    08    10    13    16
02    05    08    09    12    15
03    05    08    10    11    16
05    06    08    13    14    18
01    03    09    12    16    17
01    06    10    11    17    18
01    02    13    14    15    17
02    04    09    10    17    18
03    04    11    14    15    17
04    06    12    13    16    17
05    06    09    14    15    17
02    05    11    12    16    17
03    05    10    13    17    18
01    04    05    09    11    13
01    04    05    10    12    14
01    04    05    15    16    18
01    02    03    04    05    06
09    10    11    12    13    14
09    11    13    15    16    18
02    03    06    09    11    13
10    12    14    15    16    18
02    03    06    10    12    14
02    03    06    15    16    18
 

 

agradecido, vou pegar essa tabela e fazer um programinha em python para substituir os números que tem nela pelos 18 números que eu creio que devem englobar os 4 que irão ser sorteados... mt obg...

[Cálculo/Estatística para garantir uma quadra.]

6 minutos atrás, Pataca disse:

@alex007.jogador https://youtu.be/s8ilnqNwaMs . Assistir o vídeo a partir dos 12 minutos, é a parte  que pode ajudar a tirar as suas dúvidas.

 

Minha dúvida não era como calcular a probabilidade, minha dúvida era saber o número de jogos que eu deveria fazer para garantir uma quadra de certeza(somente uma quadra), mas fico agradecido em ter vindo aqui tentar me ajudar...

[Cálculo/Estatística para garantir uma quadra.]

18 minutos atrás, walt disse:

Neste link

http://lottodesigns.altervista.org/FilesTXT/V28/28,06,04,06 combs.txt

 

28,6,4,6 = 278 jogos

  Não conhecia esse site, nossa, muito obrigado, vou estudar sobre ele um pouquinho pra conseguir inserir meus próprios números na tabela, depois que eu conseguir dominar isso, tentarei reduzir o número de jogos para 14 ou 15 números(com garantia de 1 quadra), deixando a aposta viável ao meu bolso rsrs ... fico muito agradecido, era exatamente isso que eu estava procurando... 

[Cálculo/Estatística para garantir uma quadra.]

51 minutos atrás, walt disse:

Formula das Quadras

(a-k)        k
C      x   C
(b-i)         i
--------------------
        a
      C
        b
        
onde:
a = 60 (quantidade de dezenas total)
b = 6 (quantidade de dezenas sorteadas)
k = quantidade de dezenas que você compra num único cartão
i = quantidade de dezenas com que se ganha o premio (por ex na quadra = 4)

 

No exemplo da QUADRA, o resultado final será:

Varibles
54!                 6!
------------- X -------
52! x 2!        4! x 2!
----------------------------------- = >
             60!
          -----------
           54! X 6!

 

=>=1431 x 15         1
----------------------- = ---------------
50063860             2332,84 (quebrados)

 

ou uma chance em 2332, tal como diz a CEF no seu site, (e como aparece na calculadora com alguns decimais a mais). Jogando todas estas quadras, sua possibilidade de ganhar é muito pequena.

Entendi amigo. Agora se eu quisesse saber qual a quantidade de jogos de 6 números que seriam necessários para eu garantir pelo apenas uma quadra na mega-sena(de certeza) tem alguma fórmula para se chegar nesse número ou algum software que calcule isso?..(minha ideia é arrumar um jeito de cobrir todas as quadras possíveis na mega sena, mas nesse caso eu nao iria usar os 60 números, no máximo uns 28 números...), e mis uma vez agradeço pelas explicações...

[Cálculo/Estatística para garantir uma quadra.]

34 minutos atrás, walt disse:

Esse “2332” se refere a outra coisa, e não ao número de combinações de quadras. 

Boa tarde, então o "2332" se refere ao que exatamente? Se puder me responder fico muito agradecido...

[Cálculo/Estatística para garantir uma quadra.]

Então essa probabilidade 1/2332 significa exatamente o que amigo? se eu jogar 1 jogo eu tenho 1 chance em 2332 jogos, e se eu jogar 2332 jogos eu terei 2332/2332(ou seja 100%) chance de acertar uma quadra? pegando o mesmo embalo da pergunta da quadra e levando para a sena, eu teria 1/50.063.860 de acertar uma sena(fazendo 1 único jogo), e se eu fizer os 50.063.860 jogos eu teria a probabilidade 50.063.860/50.063.860(ou seja, 100%) de chance de acertar uma sena? 

desculpe-me essas perguntas é pq há 2 meses eu consegui reduzir a probabilidade de acertos de uma quadra para 1/18(ao menos nos meus cálculos) e fiz 19 jogos(escolhi 19 jogos de 6 números aleatórios dentre os jogos que eu gerei) e aí acabei acertando uma quadra(concurso 2390), mas aí fui analisar sobre fechamentos e gerando fechamento com 18 números dá muito mais que 18 jogos de 6 números cada... 

 

 

[Cálculo/Estatística para garantir uma quadra.]

Boa noite, esse software Wheel Generator  melhora a quantidade como? seria diminuindo e removendo possíveis grupamentos de números repetidos? Se puder esclarecer eu agradeço...

[Cálculo/Estatística para garantir uma quadra.]

Boa tarde meus amigos, tendo em vista que a probabilidade para se obter uma quadra  da mega-sena, marcando 6 números em cada volante, é de 1/2332, então isso significa dizer que em 2332 apostas  em um único concurso é possível obter uma quadra de certeza?  se sim, como fazer para achar as combinações de 6 números em 2332 jogos que cobrem todas as quadras e qual é o cálculo para provar que isso é verdadeiro? se alguém puder ajudar agradeço...