The New Sudoku Players' Forum

[Yogi]

7.....4...2..7..8...3..8..9...5..3...6..2..9...1..7..6...3..9...3..4..6...9..1..5

Code: Select all

+---+---+---+
|7..|...|4..|
|.2.|.7.|.8.|
|..3|..8|..9|
+---+---+---+
|...|5..|3..|
|.6.|.2.|.9.|
|..1|..7|..6|
+---+---+---+
|...|3..|9..|
|.3.|.4.|.6.|
|..9|..1|..5|
+---+---+---+


[yzfwsf]

It's really hard.g-Braid[16]

Hidden Text: Show

Code: Select all

Hidden Single: 3 in r9 => r9c8=3
Locked Candidates 1 (Pointing): 4 in b9 => r7c1<>4,r7c2<>4,r7c3<>4
Braid[8]: => r2c6<>6
6r2c6 - 6b5{r4c6=r4c5} - 6r1{r1c4=r1c3} - r9c5{n6=n8} - 8b1{r1c3=r1c2} - r7c5{n8=n5} - r3c5{n5=n1} - 1b1{r3c1=r2c1} - 9b1{r2c1=.}
Braid[10]: => r6c5<>8
8r6c5 - 3c5{r6c5=r1c5} - 3r6{r6c5=r6c1} - 9c5{r1c5=r4c5} - 1c5{r4c5=r3c5} - r6c4{n9=n4} - 9c1{r4c1=r2c1} - r2c4{n9=n6} - 6r1{r1c4=r1c3} - 8b1{r1c3=r1c2} - 1b1{r1c2=.}
Braid[10]: => r5c1<>4
4r5c1 - r5c6{n4=n3} - 4b7{r9c1=r9c2} - r6c5{n3=n9} - 3b2{r1c6=r1c5} - 4r3{r3c2=r3c4} - r6c4{n4=n8} - r5c4{n8=n1} - r6c2{n8=n5} - r3c2{n5=n1} - 1c5{r3c5=.}
g-Braid[10]: => r3c7<>5
5r3c7 - 6b3{r3c7=r2c7} - 7b3{r3c7=r3c8} - 2r3{r3c8=r3c4} - 4r3{r3c4=r3c12} - r2c3{n4=n5} - 5r5{r5c3=r5c1} - 3b4{r5c1=r6c1} - 3c5{r6c5=r1c5} - 5b2{r1c5=r1c6} - 5r8{r8c6=.}
g-Braid[12]: => r1c3<>5
5r1c3 - 8b1{r1c3=r1c2} - 6r1{r1c3=r1c456} - 9b1{r1c2=r2c1} - 1b1{r2c1=r3c12} - r3c5{n1=n5} - 5b3{r3c8=r2c7} - 5r5{r5c7=r5c1} - 3b4{r5c1=r6c1} - r6c5{n3=n9} - r6c2{n9=n4} - 4c3{r4c3=r2c3} - 6r2{r2c3=.}
Braid[13]: => r5c4<>4
4r5c4 - r5c6{n4=n3} - 1b5{r5c4=r4c5} - 4b2{r2c4=r2c6} - 3b4{r5c1=r6c1} - 4c3{r2c3=r4c3} - 4b6{r4c8=r6c8} - 2b4{r4c3=r4c1} - 2b6{r4c8=r6c7} - r4c8{n2=n7} - 2r9{r9c7=r9c4} - 7b8{r9c4=r8c4} - 7c9{r8c9=r7c9} - 4r7{r7c9=.}
Braid[14]: => r2c4<>6
6r2c4 - 6b3{r2c7=r3c7} - 6b1{r3c1=r1c3} - 7b3{r3c7=r3c8} - 8b1{r1c3=r1c2} - 2r3{r3c8=r3c4} - 4c4{r3c4=r6c4} - r5c6{n4=n3} - r6c5{n3=n9} - r6c2{n9=n5} - r5c1{n5=n8} - r5c4{n8=n1} - r1c4{n1=n9} - r1c6{n9=n5} - 5c8{r1c8=.}
Braid[13]: => r5c3<>8
8r5c3 - r5c4{n8=n1} - 8b1{r1c3=r1c2} - 9b1{r1c2=r2c1} - r2c4{n9=n4} - 4c3{r2c3=r4c3} - r4c1{n4=n2} - 4r6{r6c1=r6c8} - 2b6{r6c8=r6c7} - 2r9{r9c7=r9c4} - 2r3{r3c4=r3c8} - 7b3{r3c8=r3c7} - 7r9{r9c7=r9c2} - 7c3{r7c3=.}
g-Braid[15]: => r2c1<>4
4r2c1 - 4b7{r9c1=r9c2} - 4b2{r2c4=r3c4} - 9b1{r2c1=r1c2} - 9c5{r1c5=r46c5} - r6c4{n9=n8} - r6c2{n8=n5} - r6c7{n5=n2} - r6c8{n2=n4} - 2r3{r3c7=r3c8} - 7b3{r3c8=r3c7} - 7r9{r9c7=r9c4} - 6c4{r9c4=r1c4} - 2c4{r1c4=r8c4} - 2b9{r8c9=r7c9} - 4r7{r7c9=.}
g-Braid[16]: => r2c6<>9
9r2c6 - 9b8{r8c6=r8c4} - 9b1{r2c1=r1c2} - 4c6{r2c6=r45c6} - 7b8{r8c4=r9c4} - r6c4{n4=n8} - r5c4{n8=n1} - r2c4{n1=n4} - 4c3{r2c3=r45c3} - r6c2{n4=n5} - r6c7{n5=n2} - r6c8{n2=n4} - 2r9{r9c7=r9c1} - 2b4{r4c1=r4c3} - 4r4{r4c3=r4c6} - 6b5{r4c6=r4c5} - 6r9{r9c5=.}
g-Braid[10]: => r2c1<>6
6r2c1 - 6b3{r2c7=r3c7} - 9b1{r2c1=r1c2} - 7b3{r3c7=r3c8} - 1b1{r1c2=r3c12} - 9c5{r1c5=r46c5} - 9c6{r4c6=r8c6} - r3c5{n1=n5} - 5b8{r7c5=r7c6} - 2c6{r7c6=r1c6} - 2r3{r3c4=.}
g-Braid[12]: => r6c2<>4
4r6c2 - 4b7{r9c2=r9c1} - 4b1{r3c1=r2c3} - 4b2{r2c4=r3c4} - 6r2{r2c3=r2c7} - 5b3{r2c7=r13c8} - r6c8{n5=n2} - 2r3{r3c8=r3c7} - 2r9{r9c7=r9c4} - 6r9{r9c4=r9c5} - r7c6{n6=n5} - 5r2{r2c6=r2c1} - 5c2{r1c2=.}
Braid[11]: => r4c6<>4
4r4c6 - r5c6{n4=n3} - r2c6{n3=n5} - 3b4{r5c1=r6c1} - 4r6{r6c1=r6c8} - 2r6{r6c8=r6c7} - 5r6{r6c7=r6c2} - 5b1{r1c2=r3c1} - 4c1{r3c1=r9c1} - 2r9{r9c1=r9c4} - r7c6{n2=n6} - 6r9{r9c5=.}
Braid[4]: => r1c6<>6
6r1c6 - r4c6{n6=n9} - 6c4{r1c4=r9c4} - 7b8{r9c4=r8c4} - 9r8{r8c4=.}
Braid[14]: => r7c3<>5
5r7c3 - 5b8{r7c5=r8c6} - 9b8{r8c6=r8c4} - 7b8{r8c4=r9c4} - 9r2{r2c4=r2c1} - 5r2{r2c1=r2c7} - 5r5{r5c7=r5c1} - 3b4{r5c1=r6c1} - r6c5{n3=n9} - r6c2{n9=n8} - r6c7{n8=n2} - 2r9{r9c7=r9c1} - r4c1{n2=n4} - 4c3{r4c3=r2c3} - 6r2{r2c3=.}
Braid[14]: => r7c2<>5
5r7c2 - 5b8{r7c5=r8c6} - 9b8{r8c6=r8c4} - 7b8{r8c4=r9c4} - 9r2{r2c4=r2c1} - 7c2{r9c2=r4c2} - 9b4{r4c2=r6c2} - r6c5{n9=n3} - r5c6{n3=n4} - r5c3{n4=n5} - 5r2{r2c3=r2c7} - 5b6{r6c7=r6c8} - 4r6{r6c8=r6c1} - 4c3{r4c3=r2c3} - 6r2{r2c3=.}
Whip[13]: => r1c5<>5
5r1c5 - 3c5{r1c5=r6c5} - r5c6{n3=n4} - r2c6{n4=n3} - r2c9{n3=n1} - r1c8{n1=n2} - r1c6{n2=n9} - r2c4{n9=n4} - 4c3{r2c3=r4c3} - 4b6{r4c8=r6c8} - 5c8{r6c8=r3c8} - 5c2{r3c2=r6c2} - 9c2{r6c2=r4c2} - 9c5{r4c5=.}
g-Braid[13]: => r3c8<>1
1r3c8 - r2c9{n1=n3} - 7b3{r3c8=r3c7} - 2r3{r3c7=r3c4} - 6b3{r3c7=r2c7} - 4r3{r3c4=r3c12} - r2c3{n4=n5} - r2c6{n5=n4} - r5c6{n4=n3} - 3b2{r1c6=r1c5} - 1c5{r1c5=r4c5} - r5c4{n1=n8} - r5c1{n8=n5} - 5c2{r6c2=.}
g-Braid[13]: => r3c7<>1
1r3c7 - r2c9{n1=n3} - 6b3{r3c7=r2c7} - r1c9{n3=n2} - 2b2{r1c4=r3c4} - 4r3{r3c4=r3c12} - r2c3{n4=n5} - r2c6{n5=n4} - r5c6{n4=n3} - 3b2{r1c6=r1c5} - 1c5{r1c5=r4c5} - r5c4{n1=n8} - r5c1{n8=n5} - 5c2{r6c2=.}
Braid[14]: => r5c9<>4
4r5c9 - r5c6{n4=n3} - 4c6{r5c6=r2c6} - 3b4{r5c1=r6c1} - 4c3{r2c3=r4c3} - 2b4{r4c3=r4c1} - 9c1{r4c1=r2c1} - r2c4{n9=n1} - 1r5{r5c4=r5c7} - r4c8{n1=n7} - 7b3{r3c8=r3c7} - 6b3{r3c7=r2c7} - r2c3{n6=n5} - 5c7{r2c7=r6c7} - 5c2{r6c2=.}
g-Braid[13]: => r4c8<>7
7r4c8 - 7b4{r4c2=r5c3} - 4r5{r5c3=r5c6} - 3r5{r5c6=r5c1} - 5r5{r5c1=r5c7} - 1b6{r5c7=r45c9} - r2c9{n1=n3} - r1c9{n3=n2} - r2c6{n3=n5} - 2b2{r1c4=r3c4} - 4b2{r3c4=r2c4} - r2c3{n4=n6} - 6b3{r2c7=r3c7} - 7r3{r3c7=.}
Braid[13]: => r6c1<>9
9r6c1 - r6c5{n9=n3} - 9r2{r2c1=r2c4} - r5c6{n3=n4} - r6c4{n4=n8} - r6c2{n8=n5} - r6c7{n5=n2} - 4b2{r2c6=r3c4} - r3c2{n4=n1} - 2r3{r3c4=r3c8} - 7c8{r3c8=r7c8} - r7c2{n7=n8} - 8b8{r7c5=r9c5} - r9c7{n8=.}
g-Braid[8]: => r2c1<>5
5r2c1 - 5c2{r1c2=r6c2} - 9r2{r2c1=r2c4} - 1r2{r2c4=r2c79} - 9r6{r6c4=r6c5} - 3c5{r6c5=r1c5} - r1c9{n3=n2} - r1c6{n2=n5} - r1c8{n5=.}
Braid[12]: => r4c1<>4
4r4c1 - 4c3{r4c3=r2c3} - 9c1{r4c1=r2c1} - r2c4{n9=n1} - r2c9{n1=n3} - r2c6{n3=n5} - r3c5{n5=n6} - r9c5{n6=n8} - 6c4{r1c4=r9c4} - r9c1{n6=n2} - 2b4{r6c1=r4c3} - r4c8{n2=n1} - 1r5{r5c7=.}
g-Braid[12]: => r6c1<>5
5r6c1 - 5b7{r7c1=r8c3} - 5b6{r6c7=r5c7} - 5r2{r2c7=r2c6} - 4c6{r2c6=r5c6} - 4r6{r6c4=r6c8} - 2r6{r6c8=r6c7} - 3c6{r5c6=r1c6} - 2c6{r1c6=r78c6} - 2r9{r9c4=r9c1} - 2b4{r4c1=r4c3} - 4b7{r9c1=r9c2} - 4r4{r4c2=.}
Braid[12]: => r6c1<>8
8r6c1 - 3b4{r6c1=r5c1} - r5c6{n3=n4} - r6c4{n4=n9} - 4r6{r6c4=r6c8} - 9r2{r2c4=r2c1} - r4c1{n9=n2} - 2b6{r4c8=r6c7} - r4c8{n2=n1} - 1b5{r4c5=r5c4} - 2r9{r9c7=r9c4} - 7b8{r9c4=r8c4} - 8c4{r8c4=.}
g-Braid[12]: => r1c5<>6
6r1c5 - 3c5{r1c5=r6c5} - 6c4{r1c4=r9c4} - 9c5{r6c5=r4c5} - 1b5{r4c5=r5c4} - 9c1{r4c1=r2c1} - r2c4{n9=n4} - 4c3{r2c3=r45c3} - r6c1{n4=n2} - r4c1{n2=n8} - r4c2{n8=n7} - 7r9{r9c2=r9c7} - 2r9{r9c7=.}
Braid[8]: => r1c4<>1
1r1c4 - r5c4{n1=n8} - 6r1{r1c4=r1c3} - 6r2{r2c3=r2c7} - 1b3{r2c7=r2c9} - 1r5{r5c9=r5c7} - 5c7{r5c7=r6c7} - 8r6{r6c7=r6c2} - 8r1{r1c2=.}
g-Braid[12]: => r4c2<>4
4r4c2 - 4c3{r4c3=r2c3} - 4c6{r2c6=r5c6} - 6r2{r2c3=r2c7} - 3b5{r5c6=r6c5} - 5r2{r2c7=r2c6} - 3r2{r2c6=r2c9} - 1b3{r2c9=r1c89} - r1c5{n1=n9} - r2c4{n9=n1} - r5c4{n1=n8} - r6c4{n8=n9} - 9c2{r6c2=.}
Whip[12]: => r3c8<>2
2r3c8 - 7b3{r3c8=r3c7} - 6b3{r3c7=r2c7} - 5b3{r2c7=r1c8} - r6c8{n5=n4} - 4b5{r6c4=r5c6} - 3b5{r5c6=r6c5} - r6c1{n3=n2} - 2b6{r6c7=r4c9} - 7b6{r4c9=r5c9} - r5c3{n7=n5} - r2c3{n5=n4} - 4r4{r4c3=.}
Braid[8]: => r8c4<>2
2r8c4 - 2r3{r3c4=r3c7} - 7b8{r8c4=r9c4} - r9c7{n7=n8} - r6c7{n8=n5} - r9c5{n8=n6} - r7c6{n6=n5} - 5r2{r2c6=r2c3} - 5c2{r1c2=.}
g-Braid[9]: => r3c4<>1
1r3c4 - 2r3{r3c4=r3c7} - 4r3{r3c4=r3c12} - 6b3{r3c7=r2c7} - r2c3{n6=n5} - 5c2{r1c2=r6c2} - 5b6{r6c7=r5c7} - 1r5{r5c7=r5c9} - r1c9{n1=n3} - r2c9{n3=.}
g-Braid[11]: => r2c9<>1
1r2c9 - r2c1{n1=n9} - 1c4{r2c4=r5c4} - 3r2{r2c9=r2c6} - r2c4{n9=n4} - 3r5{r5c6=r5c1} - 4c3{r2c3=r45c3} - 8r5{r5c1=r5c79} - r6c1{n4=n2} - r6c7{n2=n5} - 5b4{r6c2=r5c3} - 5r2{r2c3=.}
Naked Single: r2c9=3
Whip[5]: => r1c5<>1
1r1c5 - 1b3{r1c8=r2c7} - 6b3{r2c7=r3c7} - r3c5{n6=n5} - 5r2{r2c6=r2c3} - 6r2{r2c3=.}
Whip[2]: => r4c5<>9
9r4c5 - r1c5{n9=n3} - r6c5{n3=.}
Whip[6]: => r7c1<>5
5r7c1 - 5c5{r7c5=r3c5} - r2c6{n5=n4} - r5c6{n4=n3} - r5c1{n3=n8} - r5c4{n8=n1} - 1c5{r4c5=.}
Locked Candidates 2 (Claiming): 5 in r7 => r8c6<>5
Braid[8]: => r4c9<>2
2r4c9 - r1c9{n2=n1} - 2b4{r4c1=r6c1} - 3b4{r6c1=r5c1} - r5c6{n3=n4} - r2c6{n4=n5} - r2c7{n5=n6} - r2c3{n6=n4} - 4b4{r4c3=.}
Whip[9]: => r1c4<>9
9r1c4 - r1c5{n9=n3} - 3b5{r6c5=r5c6} - 4c6{r5c6=r2c6} - r2c4{n4=n1} - r5c4{n1=n8} - r5c1{n8=n5} - 5b7{r8c1=r8c3} - r2c3{n5=n6} - 6r1{r1c3=.}
Whip[4]: => r1c6<>2
2r1c6 - r1c4{n2=n6} - r3c4{n6=n4} - 4b5{r6c4=r5c6} - 3c6{r5c6=.}
Locked Candidates 1 (Pointing): 2 in b2 => r9c4<>2
Whip[5]: => r4c3<>8
8r4c3 - r1c3{n8=n6} - r1c4{n6=n2} - 2b3{r1c8=r3c7} - 2r9{r9c7=r9c1} - 2c3{r7c3=.}
Braid[8]: => r7c9<>2
2r7c9 - r1c9{n2=n1} - 2b8{r7c6=r8c6} - 4b9{r7c9=r7c8} - 1b9{r7c8=r8c7} - 1r5{r5c7=r5c4} - 1r2{r2c4=r2c1} - 9r2{r2c1=r2c4} - 9r8{r8c4=.}
Braid[9]: => r3c4<>6
6r3c4 - r1c4{n6=n2} - r1c9{n2=n1} - 2c9{r1c9=r8c9} - r1c8{n1=n5} - r2c7{n5=n6} - 2b8{r8c6=r7c6} - 5c6{r7c6=r2c6} - r2c3{n5=n4} - 4r3{r3c1=.}
Braid[8]: => r8c3<>8
8r8c3 - r1c3{n8=n6} - r1c4{n6=n2} - 6b2{r1c4=r3c5} - r1c9{n2=n1} - 1b2{r3c5=r2c4} - 1r5{r5c4=r5c7} - 1r8{r8c7=r8c1} - 5r8{r8c1=.}
Braid[8]: => r7c8<>2
2r7c8 - 2b8{r7c6=r8c6} - 2b7{r8c1=r9c1} - 9b8{r8c6=r8c4} - 7b8{r8c4=r9c4} - r9c7{n7=n8} - 8r8{r8c7=r8c1} - r4c1{n8=n9} - 9r2{r2c1=.}
Braid[8]: => r1c3<>6
6r1c3 - r1c4{n6=n2} - 6b2{r1c4=r3c5} - 8c3{r1c3=r7c3} - 1b2{r3c5=r2c4} - r5c4{n1=n8} - 8c1{r5c1=r4c1} - 8c9{r4c9=r8c9} - 2c9{r8c9=.}
Hidden Single: 6 in r1 => r1c4=6
Hidden Single: 2 in c4 => r3c4=2
Naked Single: r1c3=8
Locked Candidates 1 (Pointing): 4 in b2 => r2c3<>4
Locked Candidates 2 (Claiming): 4 in c3 => r6c1<>4
g-Braid[7]: => r8c1<>2
2r8c1 - 2b9{r8c7=r9c7} - 2r6{r6c7=r6c8} - 4r6{r6c8=r6c4} - 4b2{r2c4=r2c6} - 5c8{r6c8=r13c8} - 5r2{r2c7=r2c3} - 5r8{r8c3=.}
Braid[6]: => r3c1<>5
5r3c1 - 4c1{r3c1=r9c1} - 5b7{r8c1=r8c3} - 5c5{r3c5=r7c5} - 6c1{r9c1=r7c1} - r7c6{n6=n2} - 2b7{r7c3=.}
Braid[5]: => r5c3<>7
7r5c3 - 4r5{r5c3=r5c6} - r2c6{n4=n5} - 3r5{r5c6=r5c1} - 5b4{r5c1=r6c2} - 5b1{r1c2=.}
Locked Candidates 1 (Pointing): 7 in b4 => r4c9<>7
Whip[5]: => r6c4<>9
9r6c4 - 4b5{r6c4=r5c6} - 4b4{r5c3=r4c3} - 7b4{r4c3=r4c2} - 9b4{r4c2=r4c1} - 9r2{r2c1=.}
Whip[5]: => r8c7<>2
2r8c7 - r8c6{n2=n9} - 9c4{r8c4=r2c4} - r2c1{n9=n1} - 1c7{r2c7=r5c7} - 1c4{r5c4=.}
Whip[6]: => r8c3<>2
2r8c3 - r8c6{n2=n9} - 9b5{r4c6=r6c5} - 3r6{r6c5=r6c1} - 2b4{r6c1=r4c1} - 9b4{r4c1=r4c2} - 9r1{r1c2=.}
Whip[5]: => r9c2<>7
7r9c2 - r9c4{n7=n8} - r9c7{n8=n2} - 2r8{r8c9=r8c6} - 9b8{r8c6=r8c4} - 7c4{r8c4=.}
Braid[6]: => r7c9<>7
7r7c9 - 4c9{r7c9=r4c9} - 7b7{r7c2=r8c3} - 4b4{r4c3=r5c3} - 5b7{r8c3=r8c1} - 5r5{r5c1=r5c7} - 7r5{r5c7=.}
Braid[5]: => r5c3<>5
5r5c3 - r2c3{n5=n6} - r8c3{n5=n7} - 6b3{r2c7=r3c7} - 7b3{r3c7=r3c8} - 7r7{r7c8=.}
Naked Single: r5c3=4
Hidden Single: 4 in c6 => r2c6=4
Hidden Single: 4 in c4 => r6c4=4
Naked Single: r5c6=3
Hidden Single: 3 in r1 => r1c5=3
Hidden Single: 3 in r6 => r6c1=3
Hidden Single: 9 in c5 => r6c5=9
Naked Single: r4c6=6
Locked Candidates 1 (Pointing): 2 in b4 => r4c8<>2
Whip[2]: => r6c7<>5
5r6c7 - 5r2{r2c7=r2c3} - 5c2{r1c2=.}
Whip[2]: => r4c1<>8
8r4c1 - r5c1{n8=n5} - r6c2{n5=.}
Whip[2]: => r2c7<>1
1r2c7 - r2c1{n1=n9} - r2c4{n9=.}
Locked Candidates 1 (Pointing): 1 in b3 => r1c2<>1
Whip[2]: => r4c2<>8
8r4c2 - r5c1{n8=n5} - r6c2{n5=.}
Whip[2]: => r1c8<>5
5r1c8 - r1c2{n5=n9} - r1c6{n9=.}
Whip[3]: => r7c9<>1
1r7c9 - 1b3{r1c9=r1c8} - r4c8{n1=n4} - 4r7{r7c8=.}
Whip[3]: => r9c1<>8
8r9c1 - 2r9{r9c1=r9c7} - r6c7{n2=n8} - 8c2{r6c2=.}
Whip[3]: => r5c9<>8
8r5c9 - r6c7{n8=n2} - 2b9{r9c7=r8c9} - 7c9{r8c9=.}
Whip[4]: => r5c9<>1
1r5c9 - r1c9{n1=n2} - 2c8{r1c8=r6c8} - 5b6{r6c8=r5c7} - 7r5{r5c7=.}
Naked Single: r5c9=7
Braid[4]: => r7c1<>2
2r7c1 - r4c1{n2=n9} - r7c6{n2=n5} - r1c6{n5=n9} - 9r2{r2c4=.}
Whip[3]: => r3c1<>6
6r3c1 - 4c1{r3c1=r9c1} - 2b7{r9c1=r7c3} - 6c3{r7c3=.}
stte

[Hajime]

This is a T&E(2) right? Only solvable bij computer programs?

[yzfwsf]

Yes, it's T&E(Single,2), but it's also T&E(LC,1).

[m_b_metcalf]

Such diagonal patterns have been well explored, for instance in Patterns Game 16. It's not difficult to find quite hard examples using your pattern, such as these:

Code: Select all

 1 . . . . . 2 . .
 . 3 . . 4 . . 5 .
 . . 6 . . 5 . . 7
 . . . 8 . . 1 . .
 . 4 . . 7 . . 6 .
 . . 8 . . 2 . . 5
 . . . 9 . . 5 . .
 . 2 . . 3 . . 9 .
 . . 7 . . 6 . . 3   Harder

1.....2...3..4..5...6..5..7...8..1...4..7..6...8..2..5...9..5...2..3..9...7..6..3   

 1 . . . . . 2 . .
 . 3 . . 4 . . 5 .
 . . 6 . . 5 . . 7
 . . . 8 . . 4 . .
 . 9 . . 7 . . 6 .
 . . 8 . . 2 . . 5
 . . . 1 . . 9 . .
 . 2 . . 3 . . 8 .
 . . 7 . . 6 . . 3   Yet Harder

1.....2...3..4..5...6..5..7...8..4...9..7..6...8..2..5...1..9...2..3..8...7..6..3 


Mike