Pues otro punto para yozZ
que entra fuerte
Norawena tiu.
Play adicto, lo siento. Muchas de esas quedan abiertas. Por poner un ejemplo: la puerta 5 sólo la tocan el camarero 1 y el 5, puesto que:
- El dos cambia la 2, la 4 y ya pasa a la 6.
- El tres cambia la 3 y ya pasa a la 6.
- El cuatro cambia la 4 y ya pasa a la 8.
- Y los camareros 6,7,8,etc empiezan después de la 5.
Entonces el camarero uno la cierra y el cindo la abre. Nadie más la toca, luego queda abierta.
Si quereis ver toda la progresión os la pongo a continuación. La he puesto en grupos de 10 puertas para que sea más fácil del ver. C es cerrada y A es abierta:
Camarero 1:
CCCCCCCCCC CCCCCCCCCC CCCCCCCCCC CCCCCCCCCC CCCCCCCCCC CCCCCCCCCC CCCCCCCCCC CCCCCCCCCC CCCCCCCCCC CCCCCCCCCC
Camarero 2:
CACACACACA CACACACACA CACACACACA CACACACACA CACACACACA CACACACACA CACACACACA CACACACACA CACACACACA CACACACACA
Camarero 3:
CAAACCCAAA CCCAAACCCA AACCCAAACC CAAACCCAAA CCCAAACCCA AACCCAAACC CAAACCCAAA CCCAAACCCA AACCCAAACC CAAACCCAAA
Camarero 4:
CAACCCCCAA CACAACCCCC AACACAACCC CCAACACAAC CCCCAACACA ACCCCCAACA CAACCCCCAA CACAACCCCC AACACAACCC CCAACACAAC
Camarero 5:
CAACACCCAC CACACCCCCA AACAAAACCA CCAAAACAAA CCCCCACACC ACCCACAACC CAACACCCAC CACACCCCCA AACAAAACCA CCAAAACAAA
Camarero 6:
CAACAACCAC CCCACCCACA AACCAAACCC CCAAACCAAA CACCCACCCC ACCAACAACA CAACAACCAC CCCACCCACA AACCAAACCC CCAAACCAAA
Camarero 7:
CAACAAACAC CCCCCCCACA CACCAAAACC CCAACCCAAA CCCCCACCAC ACCAAAAACA CACCAACCAA CCCACCAACA AACAAAACCC ACAAACCCAA
Camarero 8:
CAACAAAAAC CCCCCACACA CACAAAAACC CAAACCCAAC CCCCCACAAC ACCAACAACA CACAAACCAA CACACCAACC AACAAAAACC ACAAAACCAA
Camarero 9:
CAACAAAACC CCCCCACCCA CACAAACACC CAAACACAAC CCCCAACAAC ACCCACAACA CAAAAACCAA CCCACCAACC CACAAAAACA ACAAAACCCA
Camarero 10:
CAACAAAACA CCCCCACCCC CACAAACACA CAAACACAAA CCCCAACAAA ACCCACAACC CAAAAACCAC CCCACCAACA CACAAAAACC ACAAAACCCC
Camarero 11:
CAACAAAACA ACCCCACCCC CCCAAACACA CACACACAAA CCCAAACAAA ACCCCCAACC CAAAACCCAC CCCACCCACA CACAAAACCC ACAAAACCAC
Camarero 12:
CAACAAAACA AACCCACCCC CCCCAACACA CACACCCAAA CCCAAACCAA ACCCCCAACA CAAAACCCAC CACACCCACA CACCAAACCC ACAAACCCAC
Camarero 13:
CAACAAAACA AAACCACCCC CCCCACCACA CACACCCACA CCCAAACCAA AACCCCAACA CAAACCCCAC CACACCCCCA CACCAAACCC CCAAACCCAC
Camarero 14:
CAACAAAACA AAAACACCCC CCCCACCCCA CACACCCACA CACAAACCAA AACCCAAACA CAAACCCCAA CACACCCCCA CACAAAACCC CCAAACCAAC
Camarero 15:
CAACAAAACA AAAAAACCCC CCCCACCCCC CACACCCACA CACACACCAA AACCCAAACC CAAACCCCAA CACAACCCCA CACAAAACCA CCAAACCAAC
Camarero 16:
CAACAAAACA AAAAACCCCC CCCCACCCCC CCCACCCACA CACACACAAA AACCCAAACC CAACCCCCAA CACAACCCCC CACAAAACCA CCAAAACAAC
Camarero 17:
CAACAAAACA AAAAACACCC CCCCACCCCC CCCCCCCACA CACACACAAA CACCCAAACC CAACCCCAAA CACAACCCCC CACACAACCA CCAAAACAAC
Camarero 18:
CAACAAAACA AAAAACAACC CCCCACCCCC CCCCCACACA CACACACAAA CACACAAACC CAACCCCAAA CCCAACCCCC CACACAACCC CCAAAACAAC
Camarero 19:
CAACAAAACA AAAAACAAAC CCCCACCCCC CCCCCACCCA CACACACAAA CACACACACC CAACCCCAAA CCCAAACCCC CACACAACCC CCAACACAAC
Camarero 20:
CAACAAAACA AAAAACAAAA CCCCACCCCC CCCCCACCCC CACACACAAA CACACACACA CAACCCCAAA CCCAAACCCA CACACAACCC CCAACACAAA
Camarero 21:
CAACAAAACA AAAAACAAAA ACCCACCCCC CCCCCACCCC CCCACACAAA CACACACACA CACCCCCAAA CCCAAACCCA CACCCAACCC CCAACACAAA
Camarero 22:
CAACAAAACA AAAAACAAAA AACCACCCCC CCCCCACCCC CCCCCACAAA CACACACACA CACCCACAAA CCCAAACCCA CACCCAAACC CCAACACAAA
Camarero 23:
CAACAAAACA AAAAACAAAA AAACACCCCC CCCCCACCCC CCCCCCCAAA CACACACACA CACCCACACA CCCAAACCCA CACCCAAACC CAAACACAAA
Camarero 24:
CAACAAAACA AAAAACAAAA AAAAACCCCC CCCCCACCCC CCCCCCCCAA CACACACACA CACCCACACA CACAAACCCA CACCCAAACC CAAACCCAAA
Camarero 25:
CAACAAAACA AAAAACAAAA AAAACCCCCC CCCCCACCCC CCCCCCCCAC CACACACACA CACCCACACA CACACACCCA CACCCAAACC CAAACCCAAC
Camarero 26:
CAACAAAACA AAAAACAAAA AAAACACCCC CCCCCACCCC CCCCCCCCAC CCCACACACA CACCCACACA CACACACACA CACCCAAACC CAAACCCAAC
Camarero 27:
CAACAAAACA AAAAACAAAA AAAACAACCC CCCCCACCCC CCCCCCCCAC CCCCCACACA CACCCACACA CACACACACA AACCCAAACC CAAACCCAAC
Camarero 28:
CAACAAAACA AAAAACAAAA AAAACAAACC CCCCCACCCC CCCCCCCCAC CCCCCCCACA CACCCACACA CACACACACA AACACAAACC CAAACCCAAC
Camarero 29:
CAACAAAACA AAAAACAAAA AAAACAAAAC CCCCCACCCC CCCCCCCCAC CCCCCCCCCA CACCCACACA CACACACACA AACACACACC CAAACCCAAC
Camarero 30:
CAACAAAACA AAAAACAAAA AAAACAAAAA CCCCCACCCC CCCCCCCCAC CCCCCCCCCC CACCCACACA CACACACACA AACACACACA CAAACCCAAC
Camarero 31:
CAACAAAACA AAAAACAAAA AAAACAAAAA ACCCCACCCC CCCCCCCCAC CCCCCCCCCC CCCCCACACA CACACACACA AACACACACA CACACCCAAC
Camarero 32:
CAACAAAACA AAAAACAAAA AAAACAAAAA AACCCACCCC CCCCCCCCAC CCCCCCCCCC CCCACACACA CACACACACA AACACACACA CACACACAAC
Camarero 33:
CAACAAAACA AAAAACAAAA AAAACAAAAA AAACCACCCC CCCCCCCCAC CCCCCCCCCC CCCACCCACA CACACACACA AACACACACA CACACACACC
Camarero 34:
CAACAAAACA AAAAACAAAA AAAACAAAAA AAAACACCCC CCCCCCCCAC CCCCCCCCCC CCCACCCCCA CACACACACA AACACACACA CACACACACC
Camarero 35:
CAACAAAACA AAAAACAAAA AAAACAAAAA AAAAAACCCC CCCCCCCCAC CCCCCCCCCC CCCACCCCCC CACACACACA AACACACACA CACACACACC
Camarero 36:
CAACAAAACA AAAAACAAAA AAAACAAAAA AAAAACCCCC CCCCCCCCAC CCCCCCCCCC CCCACCCCCC CCCACACACA AACACACACA CACACACACC
Camarero 37:
CAACAAAACA AAAAACAAAA AAAACAAAAA AAAAACACCC CCCCCCCCAC CCCCCCCCCC CCCACCCCCC CCCCCACACA AACACACACA CACACACACC
Camarero 38:
CAACAAAACA AAAAACAAAA AAAACAAAAA AAAAACAACC CCCCCCCCAC CCCCCCCCCC CCCACCCCCC CCCCCCCACA AACACACACA CACACACACC
Camarero 39:
CAACAAAACA AAAAACAAAA AAAACAAAAA AAAAACAAAC CCCCCCCCAC CCCCCCCCCC CCCACCCCCC CCCCCCCCCA AACACACACA CACACACACC
Camarero 40:
CAACAAAACA AAAAACAAAA AAAACAAAAA AAAAACAAAA CCCCCCCCAC CCCCCCCCCC CCCACCCCCC CCCCCCCCCC AACACACACA CACACACACC
Camarero 41:
CAACAAAACA AAAAACAAAA AAAACAAAAA AAAAACAAAA ACCCCCCCAC CCCCCCCCCC CCCACCCCCC CCCCCCCCCC ACCACACACA CACACACACC
Camarero 42:
CAACAAAACA AAAAACAAAA AAAACAAAAA AAAAACAAAA AACCCCCCAC CCCCCCCCCC CCCACCCCCC CCCCCCCCCC ACCCCACACA CACACACACC
Camarero 43:
CAACAAAACA AAAAACAAAA AAAACAAAAA AAAAACAAAA AAACCCCCAC CCCCCCCCCC CCCACCCCCC CCCCCCCCCC ACCCCCCACA CACACACACC
Camarero 44:
CAACAAAACA AAAAACAAAA AAAACAAAAA AAAAACAAAA AAAACCCCAC CCCCCCCCCC CCCACCCCCC CCCCCCCCCC ACCCCCCCCA CACACACACC
Camarero 45:
CAACAAAACA AAAAACAAAA AAAACAAAAA AAAAACAAAA AAAAACCCAC CCCCCCCCCC CCCACCCCCC CCCCCCCCCC ACCCCCCCCC CACACACACC
Camarero 46:
CAACAAAACA AAAAACAAAA AAAACAAAAA AAAAACAAAA AAAAAACCAC CCCCCCCCCC CCCACCCCCC CCCCCCCCCC ACCCCCCCCC CCCACACACC
Camarero 47:
CAACAAAACA AAAAACAAAA AAAACAAAAA AAAAACAAAA AAAAAAACAC CCCCCCCCCC CCCACCCCCC CCCCCCCCCC ACCCCCCCCC CCCCCACACC
Camarero 48:
CAACAAAACA AAAAACAAAA AAAACAAAAA AAAAACAAAA AAAAAAAAAC CCCCCCCCCC CCCACCCCCC CCCCCCCCCC ACCCCCCCCC CCCCCCCACC
Camarero 49:
CAACAAAACA AAAAACAAAA AAAACAAAAA AAAAACAAAA AAAAAAAACC CCCCCCCCCC CCCACCCCCC CCCCCCCCCC ACCCCCCCCC CCCCCCCCCC
Camarero 50:
CAACAAAACA AAAAACAAAA AAAACAAAAA AAAAACAAAA AAAAAAAACA CCCCCCCCCC CCCACCCCCC CCCCCCCCCC ACCCCCCCCC CCCCCCCCCA
Camarero 51:
CAACAAAACA AAAAACAAAA AAAACAAAAA AAAAACAAAA AAAAAAAACA ACCCCCCCCC CCCACCCCCC CCCCCCCCCC ACCCCCCCCC CCCCCCCCCA
Camarero 52:
CAACAAAACA AAAAACAAAA AAAACAAAAA AAAAACAAAA AAAAAAAACA AACCCCCCCC CCCACCCCCC CCCCCCCCCC ACCCCCCCCC CCCCCCCCCA
Camarero 53:
CAACAAAACA AAAAACAAAA AAAACAAAAA AAAAACAAAA AAAAAAAACA AAACCCCCCC CCCACCCCCC CCCCCCCCCC ACCCCCCCCC CCCCCCCCCA
Camarero 54:
CAACAAAACA AAAAACAAAA AAAACAAAAA AAAAACAAAA AAAAAAAACA AAAACCCCCC CCCACCCCCC CCCCCCCCCC ACCCCCCCCC CCCCCCCCCA
Camarero 55:
CAACAAAACA AAAAACAAAA AAAACAAAAA AAAAACAAAA AAAAAAAACA AAAAACCCCC CCCACCCCCC CCCCCCCCCC ACCCCCCCCC CCCCCCCCCA
Camarero 56:
CAACAAAACA AAAAACAAAA AAAACAAAAA AAAAACAAAA AAAAAAAACA AAAAAACCCC CCCACCCCCC CCCCCCCCCC ACCCCCCCCC CCCCCCCCCA
Camarero 57:
CAACAAAACA AAAAACAAAA AAAACAAAAA AAAAACAAAA AAAAAAAACA AAAAAAACCC CCCACCCCCC CCCCCCCCCC ACCCCCCCCC CCCCCCCCCA
Camarero 58:
CAACAAAACA AAAAACAAAA AAAACAAAAA AAAAACAAAA AAAAAAAACA AAAAAAAACC CCCACCCCCC CCCCCCCCCC ACCCCCCCCC CCCCCCCCCA
Camarero 59:
CAACAAAACA AAAAACAAAA AAAACAAAAA AAAAACAAAA AAAAAAAACA AAAAAAAAAC CCCACCCCCC CCCCCCCCCC ACCCCCCCCC CCCCCCCCCA
Camarero 60:
CAACAAAACA AAAAACAAAA AAAACAAAAA AAAAACAAAA AAAAAAAACA AAAAAAAAAA CCCACCCCCC CCCCCCCCCC ACCCCCCCCC CCCCCCCCCA
Camarero 61:
CAACAAAACA AAAAACAAAA AAAACAAAAA AAAAACAAAA AAAAAAAACA AAAAAAAAAA ACCACCCCCC CCCCCCCCCC ACCCCCCCCC CCCCCCCCCA
Camarero 62:
CAACAAAACA AAAAACAAAA AAAACAAAAA AAAAACAAAA AAAAAAAACA AAAAAAAAAA AACACCCCCC CCCCCCCCCC ACCCCCCCCC CCCCCCCCCA
Camarero 63:
CAACAAAACA AAAAACAAAA AAAACAAAAA AAAAACAAAA AAAAAAAACA AAAAAAAAAA AAAACCCCCC CCCCCCCCCC ACCCCCCCCC CCCCCCCCCA
Camarero 64:
CAACAAAACA AAAAACAAAA AAAACAAAAA AAAAACAAAA AAAAAAAACA AAAAAAAAAA AAACCCCCCC CCCCCCCCCC ACCCCCCCCC CCCCCCCCCA
Camarero 65:
CAACAAAACA AAAAACAAAA AAAACAAAAA AAAAACAAAA AAAAAAAACA AAAAAAAAAA AAACACCCCC CCCCCCCCCC ACCCCCCCCC CCCCCCCCCA
Camarero 66:
CAACAAAACA AAAAACAAAA AAAACAAAAA AAAAACAAAA AAAAAAAACA AAAAAAAAAA AAACAACCCC CCCCCCCCCC ACCCCCCCCC CCCCCCCCCA
Camarero 67:
CAACAAAACA AAAAACAAAA AAAACAAAAA AAAAACAAAA AAAAAAAACA AAAAAAAAAA AAACAAACCC CCCCCCCCCC ACCCCCCCCC CCCCCCCCCA
Camarero 68:
CAACAAAACA AAAAACAAAA AAAACAAAAA AAAAACAAAA AAAAAAAACA AAAAAAAAAA AAACAAAACC CCCCCCCCCC ACCCCCCCCC CCCCCCCCCA
Camarero 69:
CAACAAAACA AAAAACAAAA AAAACAAAAA AAAAACAAAA AAAAAAAACA AAAAAAAAAA AAACAAAAAC CCCCCCCCCC ACCCCCCCCC CCCCCCCCCA
Camarero 70:
CAACAAAACA AAAAACAAAA AAAACAAAAA AAAAACAAAA AAAAAAAACA AAAAAAAAAA AAACAAAAAA CCCCCCCCCC ACCCCCCCCC CCCCCCCCCA
Camarero 71:
CAACAAAACA AAAAACAAAA AAAACAAAAA AAAAACAAAA AAAAAAAACA AAAAAAAAAA AAACAAAAAA ACCCCCCCCC ACCCCCCCCC CCCCCCCCCA
Camarero 72:
CAACAAAACA AAAAACAAAA AAAACAAAAA AAAAACAAAA AAAAAAAACA AAAAAAAAAA AAACAAAAAA AACCCCCCCC ACCCCCCCCC CCCCCCCCCA
Camarero 73:
CAACAAAACA AAAAACAAAA AAAACAAAAA AAAAACAAAA AAAAAAAACA AAAAAAAAAA AAACAAAAAA AAACCCCCCC ACCCCCCCCC CCCCCCCCCA
Camarero 74:
CAACAAAACA AAAAACAAAA AAAACAAAAA AAAAACAAAA AAAAAAAACA AAAAAAAAAA AAACAAAAAA AAAACCCCCC ACCCCCCCCC CCCCCCCCCA
Camarero 75:
CAACAAAACA AAAAACAAAA AAAACAAAAA AAAAACAAAA AAAAAAAACA AAAAAAAAAA AAACAAAAAA AAAAACCCCC ACCCCCCCCC CCCCCCCCCA
Camarero 76:
CAACAAAACA AAAAACAAAA AAAACAAAAA AAAAACAAAA AAAAAAAACA AAAAAAAAAA AAACAAAAAA AAAAAACCCC ACCCCCCCCC CCCCCCCCCA
Camarero 77:
CAACAAAACA AAAAACAAAA AAAACAAAAA AAAAACAAAA AAAAAAAACA AAAAAAAAAA AAACAAAAAA AAAAAAACCC ACCCCCCCCC CCCCCCCCCA
Camarero 78:
CAACAAAACA AAAAACAAAA AAAACAAAAA AAAAACAAAA AAAAAAAACA AAAAAAAAAA AAACAAAAAA AAAAAAAACC ACCCCCCCCC CCCCCCCCCA
Camarero 79:
CAACAAAACA AAAAACAAAA AAAACAAAAA AAAAACAAAA AAAAAAAACA AAAAAAAAAA AAACAAAAAA AAAAAAAAAC ACCCCCCCCC CCCCCCCCCA
Camarero 80:
CAACAAAACA AAAAACAAAA AAAACAAAAA AAAAACAAAA AAAAAAAACA AAAAAAAAAA AAACAAAAAA AAAAAAAAAA ACCCCCCCCC CCCCCCCCCA
Camarero 81:
CAACAAAACA AAAAACAAAA AAAACAAAAA AAAAACAAAA AAAAAAAACA AAAAAAAAAA AAACAAAAAA AAAAAAAAAA CCCCCCCCCC CCCCCCCCCA
Camarero 82:
CAACAAAACA AAAAACAAAA AAAACAAAAA AAAAACAAAA AAAAAAAACA AAAAAAAAAA AAACAAAAAA AAAAAAAAAA CACCCCCCCC CCCCCCCCCA
Camarero 83:
CAACAAAACA AAAAACAAAA AAAACAAAAA AAAAACAAAA AAAAAAAACA AAAAAAAAAA AAACAAAAAA AAAAAAAAAA CAACCCCCCC CCCCCCCCCA
Camarero 84:
CAACAAAACA AAAAACAAAA AAAACAAAAA AAAAACAAAA AAAAAAAACA AAAAAAAAAA AAACAAAAAA AAAAAAAAAA CAAACCCCCC CCCCCCCCCA
Camarero 85:
CAACAAAACA AAAAACAAAA AAAACAAAAA AAAAACAAAA AAAAAAAACA AAAAAAAAAA AAACAAAAAA AAAAAAAAAA CAAAACCCCC CCCCCCCCCA
Camarero 86:
CAACAAAACA AAAAACAAAA AAAACAAAAA AAAAACAAAA AAAAAAAACA AAAAAAAAAA AAACAAAAAA AAAAAAAAAA CAAAAACCCC CCCCCCCCCA
Camarero 87:
CAACAAAACA AAAAACAAAA AAAACAAAAA AAAAACAAAA AAAAAAAACA AAAAAAAAAA AAACAAAAAA AAAAAAAAAA CAAAAAACCC CCCCCCCCCA
Camarero 88:
CAACAAAACA AAAAACAAAA AAAACAAAAA AAAAACAAAA AAAAAAAACA AAAAAAAAAA AAACAAAAAA AAAAAAAAAA CAAAAAAACC CCCCCCCCCA
Camarero 89:
CAACAAAACA AAAAACAAAA AAAACAAAAA AAAAACAAAA AAAAAAAACA AAAAAAAAAA AAACAAAAAA AAAAAAAAAA CAAAAAAAAC CCCCCCCCCA
Camarero 90:
CAACAAAACA AAAAACAAAA AAAACAAAAA AAAAACAAAA AAAAAAAACA AAAAAAAAAA AAACAAAAAA AAAAAAAAAA CAAAAAAAAA CCCCCCCCCA
Camarero 91:
CAACAAAACA AAAAACAAAA AAAACAAAAA AAAAACAAAA AAAAAAAACA AAAAAAAAAA AAACAAAAAA AAAAAAAAAA CAAAAAAAAA ACCCCCCCCA
Camarero 92:
CAACAAAACA AAAAACAAAA AAAACAAAAA AAAAACAAAA AAAAAAAACA AAAAAAAAAA AAACAAAAAA AAAAAAAAAA CAAAAAAAAA AACCCCCCCA
Camarero 93:
CAACAAAACA AAAAACAAAA AAAACAAAAA AAAAACAAAA AAAAAAAACA AAAAAAAAAA AAACAAAAAA AAAAAAAAAA CAAAAAAAAA AAACCCCCCA
Camarero 94:
CAACAAAACA AAAAACAAAA AAAACAAAAA AAAAACAAAA AAAAAAAACA AAAAAAAAAA AAACAAAAAA AAAAAAAAAA CAAAAAAAAA AAAACCCCCA
Camarero 95:
CAACAAAACA AAAAACAAAA AAAACAAAAA AAAAACAAAA AAAAAAAACA AAAAAAAAAA AAACAAAAAA AAAAAAAAAA CAAAAAAAAA AAAAACCCCA
Camarero 96:
CAACAAAACA AAAAACAAAA AAAACAAAAA AAAAACAAAA AAAAAAAACA AAAAAAAAAA AAACAAAAAA AAAAAAAAAA CAAAAAAAAA AAAAAACCCA
Camarero 97:
CAACAAAACA AAAAACAAAA AAAACAAAAA AAAAACAAAA AAAAAAAACA AAAAAAAAAA AAACAAAAAA AAAAAAAAAA CAAAAAAAAA AAAAAAACCA
Camarero 98:
CAACAAAACA AAAAACAAAA AAAACAAAAA AAAAACAAAA AAAAAAAACA AAAAAAAAAA AAACAAAAAA AAAAAAAAAA CAAAAAAAAA AAAAAAAACA
Camarero 99:
CAACAAAACA AAAAACAAAA AAAACAAAAA AAAAACAAAA AAAAAAAACA AAAAAAAAAA AAACAAAAAA AAAAAAAAAA CAAAAAAAAA AAAAAAAAAA
Camarero 100:
CAACAAAACA AAAAACAAAA AAAACAAAAA AAAAACAAAA AAAAAAAACA AAAAAAAAAA AAACAAAAAA AAAAAAAAAA CAAAAAAAAA AAAAAAAAAC
Como veis las que quedan son las 10 que dice yozZ.
Curiosamente coincide que los números de las 10 que quedan cerradas son justamente los 10 únicos números que hay entre 1 y 100 que son cuadrados perfectos: (el 1 del 1, el 4 del 2, el 9 del 3, el 16 del 4, el 25 del 5, el 36 del 6, el 49 del 7, el 64 del 8, el 81 del 9 y el 100 del 10).
Salu2
PD: Esta lista no la he hecho con un programa, no soy tan matao para hacerla a mano