- Code: Select all
1 2 3 4 5 6 7 8 9
+-------+-------+-------+
a| . . . | . . 1 | . . 2 |
b| . 1 . | . 2 . | . 3 . |
c| 4 . . | 5 . . | . . . |
+-------+-------+-------+
d| . . 4 | . . . | . . 6 |
e| . 7 . | . 3 . | . 1 . |
f| 8 . . | . . . | 9 . . |
+-------+-------+-------+
g| 5 . . | . . 8 | . . . |
h| . . . | . 1 . | . 7 . |
k| . . 6 | 4 . . | 5 . . |
+-------+-------+-------+
1. h6=5, d7f9=37 (hidden pair), k1g3=17 (hidden pair), x-wing be39=5, af3!=5
2. h7=3, (d7=7, f9=3, gk2=3, d1=3, f3=1, d4=1, g3=7, k1=1, h4=6, g5=9, k5=7, h123=2
2a. g2=4, g9=1 or g2=3, g4=2, a4=3, c3=3, c2=2, e13=2, df8=2, g7=2, g9=1 > g9=1
2b. g2=4, g4=3, c6=3, c9=7 or g2=3, g4=2, k8=2, hk9=89, c9=7 > c9=7
2c. g2=4, g4=3, c6=3 or g2=3, g4=2, k8=2, e79=2, df2=2, c3=2, c6=3 > c6=3, a3=3, g4=3, k2=3, g2=4, k6=2, h9=4, d6=9
2d. f4=2, e4=8, d8=8, d5=5, d2=2, e9=5, f2=5, e1=6, e6=4 or f4=7, b6=7, a5=4, b7=4, e6=4 > e6=4, a5=4, b7=4, f8=4, e1=6, h1=2, e3=9, h3=8, h2=9, c3=2, b3=5, a8=5, e9=5, b6=6, f6=7, c5=8, (non-uniqueness ab14), c2=6, a7=6, e7=8, column4!=8 contradiction >) h7!=3
3. h9=3, (f9=7, d7=3, a1=3, c6=3, g4=3, k2=3, f3=3, f4=1, d1=1, g3=1, k9=1, c7=1, k1=7, k5=9, k6=2, h4=6, g5=7, k8=8, c3=7, c2=2, h123=9, g2=4, h7=4, g9=9, c9=8, c5=6, c8=9, e7=8, g7=2, g8=6, f8=2, d8=5, e9=4, e3=5, h3=2, e1=2, d4=2, a2=5, a8=4, a5=8, box5!=8 contradiction >) h9!=3
4. k9=3, (d7=3, c6=3, f9=7, k1=1, f3=1, d4=1, g3=7, ab4=7, c79=7, c7=7, c9=1, g7=1, f2=3, e1=6, g4=3
4a. e7=2 or h7=2, gk2=2, c3=2 > e3!=2, d12=2
4b. f4=2 or f4=6, g5=6, h7=6, e7=2 > f8!=2, e7=2
4c. f4=6, g5=6 or f4=2, k6=2, g8=2, g5=6 > g5=6, h7=6, ab7=48, f58=45
4d. c5=8, e4=8 or c5=9, c8=6, a2=6, d2=5, d8=8, e4=8 > e4=8, d8=8, h9=8, k2=8, h2=4, b46=6
4e. h4=2, f4=6, b6=6, a5=4 or h4=9, g2=9, g9=4, f8=4, a5=4 > a5=4, a7=8, f5=5, e9=5, a8=5, d2=5, c5=8, b3=8, box1!=5 contradiction >) k9!=3, g79=3
5. k2=3 or k6=3, a4=3 > a2!=3
6. h3=3, (k6=3, a4=3, c2=3, d1=3, f9=3, g7=3, d7=7, f3=1, d4=1, k1=1, g9=1, c7=1, g3=7, k5=7, c3=2, hk2=8, gh4=2, a1=7
6a. k8=2, e7=2, h1=2 or k2=2, e1=2, h7=2 > gh2!=2, g8!=2, g4=2, x-wing eh17=2, e6!=2
6b. e1=6, (b1=9, a3=8, a2=6, b3=5, e3=9, e6=4, a5=4, a7=nil contradiction >) f2=6, f4=7, b1=6
6c. e3=9, d2=5, f5=5, a5=4 or e3=5, b34=89, b7=4, a5=4 > a5=4, f5=5, c56=6
6e. e3=9, e1=2, h7=2, g8=6, h9=4, b7=4 or e3=5, b9=5, b7=4 > b7=4
6f. e3=9, a3=8 or e3=5, d8=5, d5=8, b4=8, a3=8 > a3=8, a7=6, g8=6, h4=6, e6=6, f6=4, h9=4, box6!=4 contradiction >) h3!=3
7. c2=3, (h1=3, f3=3, k6=3, a4=3, d7=3, g9=3, d1=1, f4=1, g3=1, k9=1, c7=1, k1=7, f9=7, k5=9, e1=2, f2=6, c3=2, ab1=69, c56=7, gh7=2, k8=8, k2=2, df6=2, d45=8, h47=26
7a. h7=6 or h7=2, h4=6, e4=9, h3=9, h9=4, g7=6 > g8!=6, gh7=26, (g5=7 non-unique gh47=26 >) g5=6, g7=2, g4=7, h4=2, h7=6, a357=478, a2=5, d2=9, d4=8, b9=5, e3=5, g2=4, g8=9, c8=6, a8=nil contradiction >) c2!=3
8. f3=3, (a1=3, c6=3, h4=3, k2=3, d7=3, g9=3, f4=1, d1=1, g3=1, k9=1, c7=1, k1=7, f9=7, k5=9, k6=2, k8=8, h6=6, g78=2, e79=8
8a. b1=6, f2=6, f8=2 or b1=9, a4=9, e1=6, e4=2 > e7!=2, g7=2
8b. d4=2, d5=8, d6=7 or e4=2, df2=2, c3=2, c5=7, d6=7 > d6=7
8c. b1=6 or b1=9, a4=9, e1=6, e4=2, h1=2, c3=2, c5=7, g5=6, f6=6, b4=6 > b6!=6, ef6=6
8d. f2=2 or f8=2, d8=5, f5=5 > f2!=5
8e. f2=2, c3=2, c5=7, e1=6, b4=6, b1=9, a4=9, d4=8, d5=5 or f8=2, d8=5 > d2!=5, e3=5, a2=5, b9=5, e79=48
8f. c2=8 or h2=8, g2=4, g8=9, c8=6 > c2!=6, b1=6, f2=6, f6=4, f5=5, f8=2, d8=5, d5=8, a5=4, b7=4, e9=4, g8=4, h2=4, g2=9, d4=9, d2=2, c2=8, a7=8, box3!=7 contradiction >) f3!=3
9. c3=3 or c6=3, h4=3, k2=3, d1=3 > a1!=3
10. g7=1, (k1=1, f3=1, d4=1, c9=1, g9=3, d7=3, f2=3, h1=3, k6=3, a4=3, c3=3, g3=7, k5=7, f9=7, d6=7, b4=7, a1=7, c7=7, c2=2, h3=2, g4=2, k8=2, e7=2, f6=2, d2=2, e1=6, f4=6, g5=6, h7=6, a2=6, c8=6, b6=6, a5=4, e6=4, f8=4, h9=4, g2=4, b7=4, b1=9, a3=8, b9=8, box9!=8 contradiction >) g7!=1, c7=1
11. g9=3, (d7=3, f2=3, h1=3, k6=3, a4=3, c3=3, k9=1, g3=1, d1=1, f4=1, f3=2, c2=2, box7!=2 contradiction >) g9!=3, g7=3, f9=3, d7=7
12. d1=1, (h1=3, f3=2, c2=2, box7!=2 contradiction >) d1!=1, f3=1, d4=1, k1=1, g9=1, g3=7
13. h7=2, (gk2=2, c3=2, c6=3, h4=3, row8!=6 contradiction >) h7!=2, e7=2, dh1=23
14. h3=2, h1=3 or c3=2, c6=3, h4=3, h1=2, k2=3 > ghk2!=2, h4!=2, h2!=3
15. b9=5, c9=7, a2=5 or a8=5, d8=8, e4=8, f8=4, a5=4, b146=679, c9=7, b79=48, a7=6 > c9=7, a2!=6, b9!=9, hk9=9
16. a2=5 or b3=5, e3=9, e1=6, ab1=9, a2=8 > a2!=9
17. b9=5 or e9=5, df2=5, a2=8, h3=8, h29=49, h7=6, ab7=48, b9=5 > b9=5, a2=5, e3=5, d58=58
18. c3=2 or h3=2, h1=3, a4=3, c3=3 > c3=23
19. e1=9, d6=9 or e1=6, c2=6, c3=2, c6=3 > c6!=9
20. c6=3, h4=3 or c6=6, f2=6, e4=6 > h4!=6, h7=6, ab7=48
21. c6=3, a3=3 or c6=6, f2=6, e4=6, d5=8, c2=8, b3=9, a3=3 > a3=3, c6=3, h4=3, k2=3, d1=3, h1=2, c3=2
22. h3=9, k9=9, k5=7 or b3=9, c2=8, cg5=69, k5=7 > k5=7
23. h3=9, k9=9, k6=2, d6=9 or b3=9, c2=8, f2=6, e1=9, d6=9 > d6=9 etc. singles
in summary the "important" or strategic steps:
2. h7!=3
3. h9!=3
4. k9!=3
5. a2!=3
6. h3!=3
7. c2!=3
8. f3!=3
9. a1!=3
10. g7!=1
11. g9!=3
12. d1!=1
The remaining steps are "bread and butter". Enjoy!