- Code: Select all
`Ocean's BB`

1 2 3 4 5 6 7 8 9

+-------+-------+-------+

a| . . 1 | . . . | 2 . . |

b| . 3 . | . 4 . | . 5 . |

c| 6 . . | . . . | . . 7 |

+-------+-------+-------+

d| . . . | 1 . 3 | . . . |

e| . 8 . | . . . | . 3 . |

f| . . . | 6 . 4 | . . . |

+-------+-------+-------+

g| 2 . . | . . . | . . 6 |

h| . 4 . | . 5 . | . 8 . |

k| . . 7 | . . . | 1 . . |

+-------+-------+-------+

No trivial starting numbers to be found.

1. e3=6 or e7=6, b6=6, h3=6 > d3!=6

2. k5=6 or a5=6, b7=6, e3=6, k2=6 > k6!=6

3. a5=6 or k5=6, h3=6, e7=6, a8=6 > a6!=6

4. e6=7 or e3=6, h6=6, b7=6 > d7!=6

5. b6=1 or b9=1, f8=1, g2=1, h6=1 > cg6!=1, bh6=16

6. f8=1 or c8=1, g5=1, f2=1 > f19!=1

7. e3=2, (e456=579, df5=28, e7=6, a8=6, b6=6, k5=6, h3=6, d2=6, c2=2, b4=2, k6=2, h9=2, h6=1, c5=1, b9=1, e9=4, e1=1, g2=1, f8=1, a1=4, d3=4, b1=7, f2=7, d8=2, d5=8, f5=2, d7=7, g8=7, h4=7, k1=8, (g3=5, a2=5 or g7=5, c7=4, c8=9, b3=9, a2=5 >)a2=5, k2=9, h1=3, h7=9, k8=4, c8=9, c7=4, g7=3, g3=5, k9=5, f7=5, d1=5, k4=3, g5=9, g6=8, g4=4, f1=9, f3=3, d9=9, f9=8, a9=3, b8=8, c3=8, b3=9, c6=5, ae56=79 non-unique (alternatively c4=nil) > contradiction >) e3!=2

8. d2=2, (e3=6, d8=6, b7=6, a5=6, h6=6, k2=6, b6=1, c8=1, e9=1, f2=1, h1=1, g5=1, a2=7, b4=7, g6=7, h7=7, f8=7, f9=2, k8=2, h4=2, b3=2, (k9=5, k4=4 or k1=5, g2=9, g8=4, k4=4 >) k4=4, (c7=3, c3=4 or g7=3, a9=3, d4=4, e1=4, c3=4 >) c3=4, g3=8, k6=8, (g7=3, g4=9 or c7=3, a4=3, g4=9 >) g4=9, g2=5, c2=9, b1=8, b9=9, box9!=9 contradiction >) d2!=2

9. c2=2, b4=2, b1=7 or f2=2, e1=1, h6=1, c5=1 > e1!=7, c5!=2

10. e7=4, (d8=6, b7=6, b6=1, g5=1, h1=1, e1=9, e3=6, e9=1, df5=89, c5=3, f2=1, c8=1, k2=6, h6=6, a5=6, c2=2, b4=2, b1=7, a9=3, a8=4, k9=4, g4=4, c3=4, d1=4, d2=7, a12=5, g7=5, h7=3, k4=3, g3=3, f1=3, h3=9, g2=nil contradiction >) e7!=4

11. e9=4, (f8=1, e1=1, b9=1, c5=1, h6=1, g2=1, b6=6, a8=6, e7=6, d2=6, h3=6, k5=6, e3=9, df5=89, e5=2, a1=4, d3=4

c8=9 or c8=4, g7=4, g3=5, k2=9 > c2!=9, k8!=9

c7=4 or c8=4, g7=4, g3=5, k2=9, b1=9, k8=2, h1=3, h9=9, c7=9 > c78=49, b7=8, a9=3, b3=2, a5=7, b4=9, a2=9, ck2=5 contradiction >) e9!=4, e13=4

12. e1=4 or e3=4, h3=6, h6=1, g2=1, e1=1 > e1!=9

13. d7!=7, e456=7, df5!=7 or e7=7, e3=6, d8=6, b7=6, a5=6, h6=6, k2=6, b6=1, c8=1, e9=1, f2=1, h1=1, g3=1, g8=7, h4=7, b1=7, d2=7, f5=7, a6=7, e1=4, c3=4, c2=2, b4=2, h9=2, f8=2, d3=2, d5=8 > d5!=7

14. k5!=2, def5=2, e46!=2 or k5=2, h6=6, g5=1, a5=6, b6=1, c5=3, e46=25, h9=2, c8=1, b7=6, e9=1, e1=4, f2=1, c2=2, b4=2 > e4!=2

15. c6=2, (b3=2, f2=2, e1=1, e3=4, d2=6, h3=6, h6=1, k5=6, g2=1, a2=7, b4=7, a1=4, b6=6, c5=1, a8=6, b9=1, f6=1, e7=6, e56=7, h7=7, d8=7, f1=7, f3=3, d13=59, a46=5, (k9=4, d7=4, c8=4 or k9=4, d7=8, b7=9, c8=4 >) c8=4, g8=9, k8=2, h4=2, h9=3, c7=3, h1=9, d1=5, d3=9, b1=8, b7=9, a9=8, k1=3, k2=5, k9=4, g4=4, d7=4, d9=2, e9=9, g3=8, d5=8, c2=9, c3=5, c4=8, f9=5, f7=8, g7=5, g6=7, e6=5, e4=nil contradiction>) c6!=2, bc4=2, k56=2, h9=2

16. c2=2, b4=2, b1=7 or f2=2, d8=2, e1=1, g2=1, h6=1, c5=1, b9=1, f8=1, b6=6, a8=6, e7=6, d2=6, h3=6, k5=6, a2=7, b4=7, b3=2, c4=2, e3=4, a1=4, a46=5, e9=9, e4=5, a6=5, a45=9, c6=8, b1=8, b7=9, c8=4, k8=9, k2=5, c2=9, c3=5 > c2=29, b4=27, b1=78, c3!=2, a1!=7

17. e9=9 or e9=1, b6=1, b7=6, d8=6, e3=6 > d8!=9, e3!=9

18. e9=9, df5=89 or e9=1, b6=1, a5=6, g5=1> ag5!=9

19. f2=2, (b3=2, b4=7, b1=8, a2=7, c2=9, g2=1, e1=1, e3=4, c3=5, a1=4, s2=6, k2=5, d3=9, f3=3, g3=8, h3=6, e9=9, f8=1, b9=1, b6=6, a8=6, e7=6, k5=6, h6=1, a5=3, c6=8, c5=1, c4=2, a9=8, b7=9, g5=7, gk8=49, c8=nil contradiction >) f2!=2, c2=2, b4=2, b1=7

20. d2=6, f2=7 or e3=6, e1=4, f2=1 > f2=17

21. d2=6 or e3=6, e1=4, f2=1, d2=7 > d2=67

(20+21 could of course also be reduced by noticing the naked quadruple, but this came later to me, somehow I see the forcing chains easier)

22. e3=4, (d2=6, f2=7, e1=1, e9=9, e7=6, f8=1, e9=9, d8=2, f3=2, a1=4, b9=1, b6=6, a8=6, c5=1, h6=1, k5=6, h3=6, g2=1, g8=7, d7=7, h4=7, d9=4, k1=8, g5=3, a5=7, e6=7, e4=5, k6=2, h1=3, h7=9, k8=4, k4=9, g6=8, g7=5, f7=8, b7=nil contradiction >) e1=4, e3=6, d8=6, b7=6, a5=6, h6=6, k2=6, b6=1, c8=1, e9=1, f2=1, h1=1, g5=1, d2=7, e56=2, ak8=49, g8=7, f8=2, d3=2, h4=7, a6=7, c3=4

23. colors with 9 at ag2, b39, h37, ak8 > a19!=9, c37!=9, g37!=9, k19!=9

(dunno if this is really coloring, but seems to me so, I don't care much about all the names. Anyway, it's a very nice pattern!)

24. g3=8, g6=9, k8=9 or b3=8, b9=9, k8=9 > k8=9 and the remaining numbers fall into place.

Greetings, Maria

edited: 3 of the solution step numberings were missing.