The hardest sudokus (new thread)

Everything about Sudoku that doesn't fit in one of the other sections

Re: The hardest sudokus (new thread)

Postby urhegyi » Sun Jan 09, 2022 5:12 pm

Found this example on the net.
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98.7.....7.....6....6.5.....4...5.3...79..5......2...1..85..9......1...4.....3.2. ED=11.9/11.9/11.8

Is it already in the database?
Hidden Text: Show
Code: Select all
98.7.....7.....6....6.5.....4...5.3...79..5......2...1..85..9......1...4.....3.2.
98.7.....7.....6....6.5.....4...5.3...79..5......2...1..85..9......1...4.....3.2. 11.8, Contradiction Forcing Chain (w/364 nodes): R9C5.4 on ==> R6C4.6 both on & off: r9c5<>4
98.7.....7.....6....6.5.....4...5.3...79..5......2...1..85..9......1...4.....3.2. 11.8, Contradiction Forcing Chain (w/378 nodes): R6C4.8 on ==> R4C5.6 both on & off: r6c4<>8
98.7.....7.....6....6.5.....4...5.3...79..5......2...1..85..9......1...4.....3.2. 11.9, Contradiction Forcing Chain (w/398 nodes): R5C5.6 on ==> R4C5.8 both on & off: r5c5<>6
98.7.....7.....6....6.5.....4...5.3...79..5......2...1..85..9......1...4.....3.2. 11.9, Contradiction Forcing Chain (w/434 nodes): R6C8.4 on ==> R8C7.8 both on & off: r6c8<>4
98.7.....7.....6....6.5.....4...5.3...79..5......2...1..85..9......1...4.....3.2. 11.9, Contradiction Forcing Chain (w/467 nodes): R2C5.4 on ==> R5C6.4 both on & off: r2c5<>4
98.7.....7.....6....6.5.....4...5.3...79..5......2...1..85..9......1...4.....3.2. 11.9, Contradiction Forcing Chain (w/446 nodes): R6C7.8 on ==> R1C6.6 both on & off: r6c7<>8
98.7.....7.....6....6.5.....4...5.3...79..5......2...1..85..9......1...4.....3.2. 11.4, Contradiction Forcing Chain (w/419 nodes): R8C2.5 on ==> R1C7.4 both on & off: r8c2<>5
98.7.....7.....6....6.5.....4...5.3...79..5......2...1..85..9......1...4.....3.2. 11.2, Contradiction Forcing Chain (w/198 nodes): R2C8.5 on ==> R8C3.3 both on & off: r2c8<>5
98.7.....7.....6....6.5.....4...5.3...79..5......2...1..85..9......1...4.....3.2. 11.3, Contradiction Forcing Chain (w/278 nodes): R9C5.6 on ==> R5C1.3 both on & off: r9c5<>6
98.7.....7.....6....6.5.....4...5.3...79..5......2...1..85..9......1...4.....3.2. 11.5, Contradiction Forcing Chain (w/567 nodes): R3C8.1 on ==> R8C3.3 both on & off: r3c8<>1
98.7.....7.....6....6.5.....4...5.3...79..5......2...1..85..9......1...4.....3.2. 11.5, Contradiction Forcing Chain (w/640 nodes): R8C7.7 on ==> R8C4.2 both on & off: r8c7<>7
98.7.....7.....6....6.5.....4...5.3...79..5......2...1..85..9......1...4.....3.2. 11.4, Contradiction Forcing Chain (w/386 nodes): R7C6.6 on ==> R3C8.9 both on & off: r7c6<>6
98.7.....7.....6....6.5.....4...5.3...79..5......2...1..85..9......1...4.....3.2. 11.4, Contradiction Forcing Chain (w/441 nodes): R8C6.8 on ==> R2C3.1 both on & off: r8c6<>8
98.7.....7.....6....6.5.....4...5.3...79..5......2...1..85..9......1...4.....3.2. 10.8, Contradiction Forcing Chain (w/268 nodes): R1C6.2 on ==> R5C6.4 both on & off: r1c6<>2
98.7.....7.....6....6.5.....4...5.3...79..5......2...1..85..9......1...4.....3.2. 10.6, Contradiction Forcing Chain (w/141 nodes): R1C7.4 on ==> R5C5.3 both on & off: r1c7<>4
98.7.....7.....6....6.5.....4...5.3...79..5......2...1..85..9......1...4.....3.2. 10.7, Contradiction Forcing Chain (w/219 nodes): R2C9.9 on ==> R3C1.4 both on & off: r2c9<>9
98.7.....7.....6....6.5.....4...5.3...79..5......2...1..85..9......1...4.....3.2. 10.7, Contradiction Forcing Chain (w/195 nodes): R3C9.2 on ==> R3C2.3 both on & off: r3c9<>2
98.7.....7.....6....6.5.....4...5.3...79..5......2...1..85..9......1...4.....3.2. 10.7, Contradiction Forcing Chain (w/246 nodes): R3C6.4 on ==> R8C8.5 both on & off: r3c6<>4
98.7.....7.....6....6.5.....4...5.3...79..5......2...1..85..9......1...4.....3.2. 11.0, Cell Forcing Chains (w/127 nodes): R2C8 ==> R2C4.8 off: r2c4<>8
98.7.....7.....6....6.5.....4...5.3...79..5......2...1..85..9......1...4.....3.2. 11.1, Region Forcing Chains (w/162 nodes): 8 in block ==> R3C7.8 off: r3c7<>8
98.7.....7.....6....6.5.....4...5.3...79..5......2...1..85..9......1...4.....3.2. 10.6, Contradiction Forcing Chain (w/136 nodes): R8C8.8 on ==> R6C4.6 both on & off: r8c8<>8
98.7.....7.....6....6.5.....4...5.3...79..5......2...1..85..9......1...4.....3.2. 10.4, Contradiction Forcing Chain (w/84 nodes): R3C9.3 on ==> R5C8.6 both on & off: r3c9<>3
98.7.....7.....6....6.5.....4...5.3...79..5......2...1..85..9......1...4.....3.2. 10.5, Contradiction Forcing Chain (w/128 nodes): R7C1.3 on ==> R7C8.1 both on & off: r7c1<>3
98.7.....7.....6....6.5.....4...5.3...79..5......2...1..85..9......1...4.....3.2. 10.5, Contradiction Forcing Chain (w/125 nodes): R7C9.7 on ==> R3C8.4 both on & off: r7c9<>7
98.7.....7.....6....6.5.....4...5.3...79..5......2...1..85..9......1...4.....3.2. 9.5, Contradiction Forcing Chain (w/115 nodes): R8C8.6 on ==> R6C4.6 both on & off: r8c8<>6
98.7.....7.....6....6.5.....4...5.3...79..5......2...1..85..9......1...4.....3.2. 9.9, Contradiction Forcing Chain (w/78 nodes): R4C9.6 on ==> R5C5.4 both on & off: r4c9<>6
98.7.....7.....6....6.5.....4...5.3...79..5......2...1..85..9......1...4.....3.2. 10.0, Contradiction Forcing Chain (w/123 nodes): R4C9.2 on ==> R3C2.3 both on & off: r4c9<>2
98.7.....7.....6....6.5.....4...5.3...79..5......2...1..85..9......1...4.....3.2. 9.8, Contradiction Forcing Chain (w/63 nodes): R3C7.2 on ==> R7C5.7 both on & off: r3c7<>2
98.7.....7.....6....6.5.....4...5.3...79..5......2...1..85..9......1...4.....3.2. 10.4, Contradiction Forcing Chain (w/84 nodes): R4C9.8 on ==> R1C8.4 both on & off: r4c9<>8
98.7.....7.....6....6.5.....4...5.3...79..5......2...1..85..9......1...4.....3.2. 10.3, Contradiction Forcing Chain (w/63 nodes): R6C4.6 on ==> R4C5.8 both on & off: r6c4<>6
98.7.....7.....6....6.5.....4...5.3...79..5......2...1..85..9......1...4.....3.2. 9.9, Contradiction Forcing Chain (w/65 nodes): R3C7.1 on ==> R6C6.7 both on & off: r3c7<>1
98.7.....7.....6....6.5.....4...5.3...79..5......2...1..85..9......1...4.....3.2. 7.9, Nishio Forcing Chain (w/13 nodes): R1C6.1 on ==> R2C3.1 both on & off: r1c6<>1
98.7.....7.....6....6.5.....4...5.3...79..5......2...1..85..9......1...4.....3.2. 9.1, Contradiction Forcing Chain (w/30 nodes): R6C6.4 on ==> R8C7.8 both on & off: r6c6<>4
98.7.....7.....6....6.5.....4...5.3...79..5......2...1..85..9......1...4.....3.2. 9.2, Region Forcing Chains (w/45 nodes): 1 in column ==> R2C6.1 off: r2c6<>1
98.7.....7.....6....6.5.....4...5.3...79..5......2...1..85..9......1...4.....3.2. 9.4, Contradiction Forcing Chain (w/70 nodes): R5C6.4 on ==> R8C3.3 both on & off: r5c6<>4
98.7.....7.....6....6.5.....4...5.3...79..5......2...1..85..9......1...4.....3.2. 3.4, Hidden Pair: Cells R5C5,R6C4: 3,4 in block: r5c5<>8
98.7.....7.....6....6.5.....4...5.3...79..5......2...1..85..9......1...4.....3.2. 9.3, Contradiction Forcing Chain (w/50 nodes): R2C5.3 on ==> R1C3.3 both on & off: r2c5<>3
98.7.....7.....6....6.5.....4...5.3...79..5......2...1..85..9......1...4.....3.2. 9.1, Contradiction Forcing Chain (w/26 nodes): R3C7.7 on ==> R2C3.3 both on & off: r3c7<>7
98.7.....7.....6....6.5.....4...5.3...79..5......2...1..85..9......1...4.....3.2. 9.0, Contradiction Forcing Chain (w/17 nodes): R3C8.4 on ==> R2C5.8 both on & off: r3c8<>4
98.7.....7.....6....6.5.....4...5.3...79..5......2...1..85..9......1...4.....3.2. 7.8, Nishio Forcing Chain (w/9 nodes): R9C4.4 on ==> R3C7.4 both on & off: r9c4<>4
98.7.....7.....6....6.5.....4...5.3...79..5......2...1..85..9......1...4.....3.2. 2.6, Pointing: Cells R7C5,R7C6: 4 in block and row: r7c1<>4
98.7.....7.....6....6.5.....4...5.3...79..5......2...1..85..9......1...4.....3.2. 8.3, Cell Forcing Chains (w/10 nodes): R1C5 ==> R2C6.4 off: r2c6<>4
98.7.....7.....6....6.5.....4...5.3...79..5......2...1..85..9......1...4.....3.2. 9.0, Region Forcing Chains (w/20 nodes): 8 in block ==> R2C6.8 off: r2c6<>8
98.7.....7.....6....6.5.....4...5.3...79..5......2...1..85..9......1...4.....3.2. 9.0, Region Forcing Chains (w/20 nodes): 8 in block ==> R2C6.9 off: r2c6<>9
98.7.....7....26....6.5.....4...5.3...79..5......2...1..85..9......1...4.....3.2. 2.3, Naked Single: R2C6: 2: r2c6=2
98.7.....7....26....6.5.....4...5.3...79..5......2...1..85..9.....21...4.....3.2. 1.2, Hidden Single: R8C4: 2 in block 8: r8c4=2
98.7.....7....26....6.5.....4...5.3...79..5......2...1..85..9.....21.8.4.....3.2. 1.5, Hidden Single: R8C7: 8 in row 8: r8c7=8
98.7.....7....26....6.5.....4...5.3...79..5......2...1..85..9.3...21.8.4.....3.2. 1.2, Hidden Single: R7C9: 3 in block 9: r7c9=3
98.7.....7....26....6.5.....4...5.3...79..5......2...1..85..9.3...21.8.4.....3.2. 2.6, Pointing: Cells R1C7,R1C9: 2 in block and row: r1c3<>2
98.7.....7....26....6.5.....42..5.3...79..5......2...1..85..9.3...21.8.4.....3.2. 1.5, Hidden Single: R4C3: 2 in column 3: r4c3=2
98.7.....7....26....6.5.....42..5.3...79..5.2....2...1..85..9.3...21.8.4.....3.2. 1.2, Hidden Single: R5C9: 2 in block 6: r5c9=2
98.7..2..7....26....6.5.....42..5.3...79..5.2....2...1..85..9.3...21.8.4.....3.2. 1.2, Hidden Single: R1C7: 2 in block 3: r1c7=2
98.7..2..7....26....6.5.3...42..5.3...79..5.2....2...1..85..9.3...21.8.4.....3.2. 1.2, Hidden Single: R3C7: 3 in block 3: r3c7=3
98.7..2..7....26....6.5.3...42..5.3...79..5.2....2...1..85..9.3...21.8.4.....312. 1.5, Hidden Single: R9C7: 1 in column 7: r9c7=1
98.7..2..7....26....6.5.3...42..5.3...79..5.2....2.4.1..85..9.3...21.8.4.....312. 1.5, Hidden Single: R6C7: 4 in column 7: r6c7=4
98.7..2..7....26....6.5.3...42..573...79..5.2....2.4.1..85..9.3...21.8.4.....312. 1.0, Hidden Single: R4C7: 7 in column 7: r4c7=7
98.7..2..7....26....6.5.3...42..573...794.5.2....2.4.1..85..9.3...21.8.4.....312. 1.2, Hidden Single: R5C5: 4 in block 5: r5c5=4
98.7..2..7....26....6.5.3...42..573...794.5.2...32.4.1..85..9.3...21.8.4.....312. 1.2, Hidden Single: R6C4: 3 in block 5: r6c4=3
98.73.2..7....26....6.5.3...42..573...794.5.2...32.4.1..85..9.3...21.8.4.....312. 1.2, Hidden Single: R1C5: 3 in block 2: r1c5=3
98.7362..7....26....6.5.3...42..573...794.5.2...32.4.1..85..9.3...21.8.4.....312. 1.2, Hidden Single: R1C6: 6 in block 2: r1c6=6
98.7362..7....26....6.5.3...42..573...794.5.2...3274.1..85..9.3...21.8.4.....312. 1.2, Hidden Single: R6C6: 7 in block 5: r6c6=7
98.7362..7....26....6.5.3...42..573...794.5.2...3274.1..85.49.3...21.8.4.....312. 1.2, Hidden Single: R7C6: 4 in block 8: r7c6=4
98.7362..7....26....6.5.3...42..573...794.5.2...3274.1..85.49.3...21.8.4.....3126 1.5, Hidden Single: R9C9: 6 in column 9: r9c9=6
98.7362..7....26....6.5.3...42..573...794.5.2...3274.1..85649.3...21.8.4.....3126 1.2, Hidden Single: R7C5: 6 in block 8: r7c5=6
98.7362..7....26....6.5.3...426.573...794.5.2...3274.1..85649.3...21.8.4.....3126 1.2, Hidden Single: R4C4: 6 in block 5: r4c4=6
98.7362..7....26....6.5.3...426.573...79415.2...3274.1..85649.3...21.8.4.....3126 1.2, Hidden Single: R5C6: 1 in block 5: r5c6=1
98.7362..7....26....6.5.3...4268573...79415.2...3274.1..85649.3...21.8.4.....3126 1.0, Hidden Single: R4C5: 8 in block 5: r4c5=8
98.7362..7....26....6.5.3..14268573...79415.2...3274.1..85649.3...21.8.4.....3126 1.2, Hidden Single: R4C1: 1 in block 4: r4c1=1
98.7362..7....26....6.5.3..142685739..79415.2...3274.1..85649.3...21.8.4.....3126 1.0, Hidden Single: R4C9: 9 in row 4: r4c9=9
98.7362..7....26....6.5.3..142685739..79415.2...3274.1.185649.3...21.8.4.....3126 1.2, Hidden Single: R7C2: 1 in block 7: r7c2=1
98.7362..7....26....6.5.3..142685739..79415.2...3274.12185649.3...21.8.4.....3126 1.2, Hidden Single: R7C1: 2 in block 7: r7c1=2
98.7362..7....26....6.5.3..142685739..79415.2...3274.1218564973...21.8.4.....3126 1.0, Hidden Single: R7C8: 7 in row 7: r7c8=7
98.7362..7....26....6.5.3..142685739..79415.2...3274.1218564973...21.854.....3126 1.0, Hidden Single: R8C8: 5 in block 9: r8c8=5
98.7362..7....26...26.5.3..142685739..79415.2...3274.1218564973...21.854.....3126 1.2, Hidden Single: R3C2: 2 in block 1: r3c2=2
98.7362..7....26...26.5.3.7142685739..79415.2...3274.1218564973...21.854.....3126 1.2, Hidden Single: R3C9: 7 in block 3: r3c9=7
98.7362..7....26...26.5.3.7142685739..79415.2...3274.1218564973...21.854....73126 1.2, Hidden Single: R9C5: 7 in block 8: r9c5=7
98.7362..7...926...26.5.3.7142685739..79415.2...3274.1218564973...21.854....73126 1.0, Hidden Single: R2C5: 9 in column 5: r2c5=9
98.7362..7...926...26.5.397142685739..79415.2...3274.1218564973...21.854....73126 1.2, Hidden Single: R3C8: 9 in block 3: r3c8=9
98.7362..7...926...26.5.397142685739..79415.2...3274.1218564973.7.21.854....73126 1.2, Hidden Single: R8C2: 7 in block 7: r8c2=7
98.7362..7...926...26.5.397142685739..79415.2...3274.121856497367.21.854....73126 1.2, Hidden Single: R8C1: 6 in block 7: r8c1=6
98.7362..7...926...26.5.397142685739..79415.2...3274.121856497367321.854....73126 1.2, Hidden Single: R8C3: 3 in block 7: r8c3=3
98.7362..7...926...26.5.397142685739..79415.2...3274.1218564973673219854....73126 1.0, Hidden Single: R8C6: 9 in row 8: r8c6=9
98.7362..7...926...26.5.397142685739..79415.2...3274.1218564973673219854...873126 1.0, Hidden Single: R9C4: 8 in block 8: r9c4=8
98.7362..7...926...26.58397142685739..79415.2...3274.1218564973673219854...873126 1.0, Hidden Single: R3C6: 8 in column 6: r3c6=8
98.7362..73..926...26.58397142685739..79415.2...3274.1218564973673219854...873126 1.2, Hidden Single: R2C2: 3 in block 1: r2c2=3
98.7362..73..926...26.583971426857393.79415.2...3274.1218564973673219854...873126 1.2, Hidden Single: R5C1: 3 in block 4: r5c1=3
98.7362..73..926...26.583971426857393.79415.28..3274.1218564973673219854...873126 1.2, Hidden Single: R6C1: 8 in block 4: r6c1=8
98.7362..73..926...26.583971426857393.79415828..3274.1218564973673219854...873126 1.2, Hidden Single: R5C8: 8 in block 6: r5c8=8
98.7362..73..926...26.583971426857393.79415828..327461218564973673219854...873126 1.0, Hidden Single: R6C8: 6 in block 6: r6c8=6
98.7362..73..926...26.583971426857393679415828..327461218564973673219854...873126 1.0, Hidden Single: R5C2: 6 in row 5: r5c2=6
98.7362..73..926.8.26.583971426857393679415828..327461218564973673219854...873126 1.2, Hidden Single: R2C9: 8 in block 3: r2c9=8
98.7362.573..926.8.26.583971426857393679415828..327461218564973673219854...873126 1.0, Hidden Single: R1C9: 5 in column 9: r1c9=5
98.7362.5735.926.8.26.583971426857393679415828..327461218564973673219854...873126 1.2, Hidden Single: R2C3: 5 in block 1: r2c3=5
9817362.5735.926.8.26.583971426857393679415828..327461218564973673219854...873126 1.2, Hidden Single: R1C3: 1 in block 1: r1c3=1
9817362.5735.926.8426.583971426857393679415828..327461218564973673219854...873126 1.0, Hidden Single: R3C1: 4 in block 1: r3c1=4
9817362.5735.926.8426.583971426857393679415828..3274612185649736732198545..873126 1.0, Hidden Single: R9C1: 5 in column 1: r9c1=5
981736245735.926.8426.583971426857393679415828..3274612185649736732198545..873126 1.0, Hidden Single: R1C8: 4 in row 1: r1c8=4
981736245735.92618426.583971426857393679415828..3274612185649736732198545..873126 1.0, Hidden Single: R2C8: 1 in block 3: r2c8=1
981736245735492618426.583971426857393679415828..3274612185649736732198545..873126 1.0, Hidden Single: R2C4: 4 in row 2: r2c4=4
9817362457354926184261583971426857393679415828..3274612185649736732198545..873126 1.0, Hidden Single: R3C4: 1 in block 2: r3c4=1
98173624573549261842615839714268573936794158285.3274612185649736732198545..873126 1.2, Hidden Single: R6C2: 5 in block 4: r6c2=5
9817362457354926184261583971426857393679415828593274612185649736732198545..873126 1.0, Hidden Single: R6C3: 9 in block 4: r6c3=9
98173624573549261842615839714268573936794158285932746121856497367321985459.873126 1.0, Hidden Single: R9C2: 9 in column 2: r9c2=9
981736245735492618426158397142685739367941582859327461218564973673219854594873126 1.0, Hidden Single: R9C3: 4 in block 7: r9c3=4
ED=11.9/11.9/11.8
urhegyi
 
Posts: 611
Joined: 13 April 2020

Re: The hardest sudokus (new thread)

Postby mith » Sun Jan 09, 2022 5:53 pm

Next batch:

Code: Select all
........1.....2.3...1....45..3..6....6738.1..82..71....18.63...2.67.8...73..2....  ED=11.7/1.2/1.2
........1.....2.3...1....45..3..6....6738.1..82..71....18.6....2.67.8..373..2....  ED=11.7/1.2/1.2
........1.....2.3...1....45.....6....6738.1..82..713...18.6....2.67.8..373..2....  ED=11.7/1.2/1.2
........1.....2.3...1....45..3.26....6783.1..82.7.1....186.....2.6.78..373.......  ED=11.7/1.2/1.2
........1.....2.3...1....45....26....6783.1..82.7.13...186.....2.6.78..373.......  ED=11.7/1.2/1.2
........1.....2.3...1....45..3.26....6783.1..82.7.1....186.3...2.6.78...73.......  ED=11.7/1.2/1.2


Hidden Text: Show
Code: Select all
........1....23.45..5..4.6..1....67.65..47..87.8.....4.874...1646..1.5..5......8.  ED=11.6/1.2/1.2
..............1.23..1.2...4.256.....17.8...626...7.1.5.52.68...7.615....8..2.7.5.  ED=11.6/1.2/1.2
..............1.23..1.2...4.256.....17.8...626...721.5.52.68...7.615....8....7.5.  ED=11.6/1.2/1.2
..............1.23..4..2..5.1..6..7..684.7...7.2.18....8..264.72.78.....64.1...82  ED=11.6/1.2/1.2
........1....23.45..5..4.6..1....67.65..4...87.8..1..4.874...1646..1.5..5......8.  ED=11.6/1.2/1.2
........1....23.45..4..5.6..1....67.6...5...87.8..1..4.875...164......8.56..1.4..  ED=11.6/1.2/1.2
........1....23.4...4..5.6..15...67.6...5...87.8..1..4.6..1.4...875...164.....58.  ED=11.6/1.2/1.2
........1.....2.3...4.15....3.....674.6...8..71..8...4.6....18.14..687.38.73....6  ED=11.6/1.2/1.2
........1.....2.3...4.15....3.....674.6...8..71..8...4.6.....8.14..687.38.73.1..6  ED=11.6/1.2/1.2
........1.....2.3...4..5....3..1..674.6...8..71.8....4.63...18.14.6.87..8.7.3...6  ED=11.6/1.2/1.2
........1.....2.3...4..5....3..1..674.6...8..71.8....4.6....18.14.6.87.38.7.3...6  ED=11.6/1.2/1.2
........1.....2.3...4..5....3..1..674.6...8..71.8....4.6.....8.14.6.87.38.7.31..6  ED=11.6/1.2/1.2
..............1..2..3....45.1..67...3.78.4...64..3..8..714.8...43.6...788.6.7.1..  ED=11.6/1.2/1.2
..............1..2..3....45.1..67...3.78.4...64..3..8..7.4.8...43.61..788.6.7.1..  ED=11.6/1.2/1.2
........1.....2.3...4..5....3..1..674.6...8..71.8....4.63....8.14.6.87..8.7.31..6  ED=11.6/1.2/1.2
........1.....1.2..13....4...1.56...57.3.8...6.8.7..53..768...5.6.7..81.3...15...  ED=11.6/1.2/1.2
........1.....1.2..13....4...1.56....7.3.8...6.8.7..53..768...5.657..81.3...15...  ED=11.6/1.2/1.2
........1.....1.2...3....4...1.56....6718..5385.3.7....1867...5.3...5...6..8..71.  ED=11.6/1.2/1.2
........1.....1.2...3....4...1.56....6718..538..3.7....1867...5.3...5...6.58..71.  ED=11.6/1.2/1.2
........1.....2.3...3.14....15.6...763.1...858.7...6...7..8.5.3.8.....6.5.13.6..8  ED=11.6/1.2/1.2
........1.....2.3...3.14....15.6...763.1...858.7...6...7..8.5.3.8....16.5..3.6..8  ED=11.6/1.2/1.2
........1.....2.3...3.14....15.6...763.....858.7...6...7..815.3.8.....6.5.13.6..8  ED=11.6/1.2/1.2
........1.....2.3...3.14....15.6...763.....858.7...6...7..815.3.8....16.5..3.6..8  ED=11.6/1.2/1.2
........1..2..3.....4.1..3.....567...1.37..587..1.8..6...5...7..37.81..55..6..8.3  ED=11.6/1.2/1.2
........1..2..3.....4.1..3.....567...1.37..587..1.8..6...5..17..37.8...55..6..8.3  ED=11.6/1.2/1.2
........1..2..3.....4.1..3.....5671..1.37..587....8..6...5...7..37.81..55..6..8.3  ED=11.6/1.2/1.2
........1....23.4...5..4.6..1....67.6...47..87.8....54.874...1646..1.5..5......8.  ED=11.6/1.2/1.2
........1..2..3.....1..4.5..16.57..82..8..6.58......7..28...71..6.7....25.7.1..86  ED=11.6/1.2/1.2
........1..2..3.....1..4.5...6.57..8.2.8..6.5.8....17..57.1..862.8...71.6..7....2  ED=11.6/1.2/1.2
........1....12.....1..3.4..154.6..77.4....6.8...715...5..6...8.87...61.4.6....75  ED=11.6/1.2/1.2
..............1.23..1.2...4.256.....17.8.5.626...721...52.68...7.61.....8....7.5.  ED=11.6/1.2/1.2
..............1.23..4..2..5.1..6..7..684.....7.2.18....8..264..2.78.....64.17..82  ED=11.6/1.2/1.2
..............1..2..3....45..6.7.1.8.3.6...7..714.8....18.674..3.78.4...64..3..8.  ED=11.6/1.2/1.2
..............1..2..3....45..6.7.1.8.3.61..7..7.4.8....18.674..3.78.4...64..3..8.  ED=11.6/1.2/1.2
..............1..2..3....45..6.7.1.8.3.6...74.714.8....18.67...3.78.4...64..3..8.  ED=11.6/1.2/1.2
..............1..2..3....45..6.7.1.8.3.61..74.7.4.8....18.67...3.78.4...64..3..8.  ED=11.6/1.2/1.2
................12..1..3..4..5.6.3.7.631.7....8.5...61.37.56...51..8..7.8.67.1...  ED=11.6/1.2/1.2
................12..1..3..4.15.6.3.76.31.7...8..5...61.5..8..7..867.1...3.7.56...  ED=11.6/1.2/1.2
..............1.23..1.2...4.256.....17.8.5.626...7.1...52.68...7.61.....8..2.7.5.  ED=11.6/1.2/1.2
..............1.23..4..2..5.1..6..7..684.72..7.2.18....8...64.72.78.....64.1...8.  ED=11.6/1.2/1.2
........1....23.4...5..4.6..1....67.6...4...87.8..1.54.874...1646..1.5..5......8.  ED=11.6/1.2/1.2
........1.....2.3...4.15....163.7..84...816.38......7..48...7..16..7...43.7....86  ED=11.6/1.2/1.2
........1.....2.3...4.15.....63.7..8.4..816.3.8....17..37....864.8...7..61..7...4  ED=11.6/1.2/1.2
................12..1..3..4.3..56...51..7..8.7.61.8....638.1....7.5...688.5.6.3..  ED=11.6/1.2/1.2
................12..1..3..4.3..561..5...7..8.7.61.8....638.1....7.5...688.5.6.3..  ED=11.6/1.2/1.2
................12..1..3..4.3..56...5...7..8.7.61.8....638.1....7.5...688.5.6.3.1  ED=11.6/1.2/1.2
................12..1..3..4.3..56...5...7..8.7.61.8....638.1...17.5...688.5.6.3..  ED=11.6/1.2/1.2
........1.....2.3...4..5.....6.37..8.4.8..6...83...71..37.1..864.8....7.61.7....4  ED=11.6/1.2/1.2
........1.....2.3...4..5....16.3...748.7.16.37.....8...47....8.16.8....43...1..76  ED=11.6/1.2/1.2
........1.....2.3...4..5....16.3...748.7.16..7.3...8...47....8.16.8....43...1..76  ED=11.6/1.2/1.2
........1.....2.....1..3.4...5.46..7.74...16..8.7..5...46.1..755..6....88.7...61.  ED=11.6/1.2/1.2
........1.....2.....1..3.4...5.46..7.74...16..8.7..5...46.1..7551.6....88.7...6..  ED=11.6/1.2/1.2
........1..2..3.....1..4.5...6.5...7.7....18.82.7..6.5.5..1..762.7...81.6..8....2  ED=11.6/1.2/1.2
..............1.23..4..2..5.1..6..7..684..2..7.2.18....8...64..2.78.....64.17..8.  ED=11.6/1.2/1.2
........1.....2.3...3.14....15.6...7.3.1...858.7...6...76.8.5.3.8.....6.5.13....8  ED=11.6/1.2/1.2
........1.....2.3...3.14....15.6...7.3.1...858.7...6...76.8.5.3.8....16.5..3....8  ED=11.6/1.2/1.2
........1.....2.3...3.14....15.6...7.3.....858.7...6...76.815.3.8.....6.5.13....8  ED=11.6/1.2/1.2
........1.....2.3...3.14....15.6...7.3.....858.7...6...76.815.3.8....16.5..3....8  ED=11.6/1.2/1.2
........1..2..3.....4.1..3.....567...1.3...587..1.8..6...5...7..3..81..55..6.78.3  ED=11.6/1.2/1.2
........1..2..3.....4.1..3.....5671..1.3...587....8..6...5...7..3..81..55..6.78.3  ED=11.6/1.2/1.2
........1..2..3.....1..4.5..16.5...728.7..6.57......8..27...81..6.8....25...1..76  ED=11.6/1.2/1.2
........1....12.....1..3.4..154....66.4....7.87..615...5..7...8.86...71.4......65  ED=11.6/1.2/1.2
........1.....2.3.....14.....5.6.7...36....8.17.3.8..6.831...6756....8..7.1.8...5  ED=11.6/1.2/1.2
........1.....2.3.....14.....5.6.7...36...18..7.3.8..6.831...6756....8..7.1.8...5  ED=11.6/1.2/1.2
........1.....2.3.....14.....5.617...36....8.17.3.8..6.83....6756....8..7.1.8...5  ED=11.6/1.2/1.2
........1.....2.3.....14.....5.617...36...18..7.3.8..6.83....6756....8..7.1.8...5  ED=11.6/1.2/1.2
........1.....2.....1..3.4..15.46..77.4....6.8..7..5...87...6..15.6....84.6.1..75  ED=11.6/1.2/1.2
........1.....2.....1..3.4..15.46..77.4....6.8..7..5...5.6....8.87...61.4.6.1..75  ED=11.6/1.2/1.2
..............1..2..1.3...4.3561.....7.8...6.6...7.1.5.53.68...7.615.3..8....7.5.  ED=11.6/1.2/1.2
..............1..2..1.3...4.356.....17.8...6.6...7.1.5.53.68...7.615.3..8....7.5.  ED=11.6/1.2/1.2
..............1..2..3....45..6.7.1...714.8...83.6...7..1..674..3.78.4...64..3..8.  ED=11.6/1.2/1.2
..............1..2..3....45..6.7.1...7.4.8...83.61..7..1..674..3.78.4...64..3..8.  ED=11.6/1.2/1.2
..............1..2..3....45..6.7.1...714.8...83.6...74.1..67...3.78.4...64..3..8.  ED=11.6/1.2/1.2
..............1..2..3....45..6.7.1...7.4.8...83.61..74.1..67...3.78.4...64..3..8.  ED=11.6/1.2/1.2
..............1..2..3..4..5.1..6..7..683.74..7.4.18....8...63.74.78.3...6..1...8.  ED=11.6/1.2/1.2
................12..1..3..4..5.6.3...631.7...78.5...61.3..56...51..8..7.8.67.1...  ED=11.6/1.2/1.2
................12..1..3..4..5.6.3.7.631.7....8.5...6..37.561..5...8..7.8.67.1...  ED=11.6/1.2/1.2
................12..1..3..4.15.6.3..6.31.7...87.5...61.5..8..7..867.1...3...56...  ED=11.6/1.2/1.2
........1..2..3.....4.1..3.....567...1.3...587..1.8..6...5..17..3..8...55..6.78.3  ED=11.6/1.2/1.2
........1.....2.....1..3.4...5.4...6.64...17.78.6..5...4..1..6551.7....88.6...7..  ED=11.6/1.2/1.2
........1.....2.3.....14.....31...56.61.7...858....7...78.5.6..3.5....7.61.3....5  ED=11.6/1.2/1.2
........1.....2.3.....14.....31...56.61.7...858....7...78.5.6..3.5...17.6..3....5  ED=11.6/1.2/1.2
........1.....2.3.....14.....3....56.61.7...858....7...78.516..3.5....7.61.3....5  ED=11.6/1.2/1.2
........1.....2.3.....14.....3....56.61.7...858....7...78.516..3.5...17.6..3....5  ED=11.6/1.2/1.2
........1.....2.....1..3.4..15.4...66.4....7.87.6..5...86...7..15.7....84...1..65  ED=11.6/1.2/1.2
........1.....2.....1..3.4..15.4...66.4....7.87.6..5...5.7....8.86...71.4...1..65  ED=11.6/1.2/1.2
..............1..2..1.3...4.3561.....7.8.5.6.6...7.1...53.68...7.61..3..8....7.5.  ED=11.6/1.2/1.2
..............1..2..1.3...4.356.....17.8.5.6.6...7.1...53.68...7.61..3..8....7.5.  ED=11.6/1.2/1.2
..............1..2..3..4..5.1..6..7..683..4..7.4.18....8...63..4.78.3...6..17..8.  ED=11.6/1.2/1.2
................12..1..3..4..5.6.3...631.7...78.5...6..3..561..5...8..7.8.67.1...  ED=11.6/1.2/1.2
........1.....2.....1..3.4...5.4...6.64...17.78.6..5...4..1..655..7....88.6...71.  ED=11.6/1.2/1.2
........1.....2.....3.4..5...4.5..3...5.6..4778....9....86......6...4.8.3...8.5..  ED=11.6/1.2/1.2
........1.....2.....3.4..5...4.5..36..5.7..4.68....9....67......3..6.5..7....4.6.  ED=11.6/1.2/1.2
mith
 
Posts: 803
Joined: 14 July 2020

Re: The hardest sudokus (new thread)

Postby mith » Sun Jan 09, 2022 5:55 pm

urhegyi wrote:Found this example on the net.
Code: Select all
98.7.....7.....6....6.5.....4...5.3...79..5......2...1..85..9......1...4.....3.2. ED=11.9/11.9/11.8

Is it already in the database?


This is champagne dry. post210692.html#p210692
mith
 
Posts: 803
Joined: 14 July 2020

Re: The hardest sudokus (new thread)

Postby mith » Mon Jan 10, 2022 10:30 pm

Spotted a silly bug in my expander script which was causing puzzles with blank (as opposed to 0.0) skfr to be skipped. Expecting a large dump of 11.7s overnight.
mith
 
Posts: 803
Joined: 14 July 2020

Re: The hardest sudokus (new thread)

Postby mith » Tue Jan 11, 2022 4:12 pm

As expected:

Code: Select all
........1......234.....2.5...1.26....678.51..82.71.5...18.5....6.2.87...75.6.....  ED=11.7/1.2/1.2
........1......234.....2.5...1.26....678.51..82.71.5...18......6.2.87..575.6.....  ED=11.7/1.2/1.2
.......12.....3..4..1...356..7.8.....1934....84.9.71...7...9.4.13.8.4...9..71....  ED=11.7/1.2/1.2
.......12.....3..4..1...356..7.81.....934....48.9.71...9.71....31.8.4...7....9.4.  ED=11.7/1.2/1.2
........1....23.....2145.....6...17...87...9279.2..6.8.8......621....7.96.9...82.  ED=11.7/1.2/1.2
........1....23.....2145.....67...8..29...17.78.2..9.6.6......921....7.89.8...62.  ED=11.7/1.2/1.2
........1.....2.34.25.....6.5..7.....8.6.9...7.9.8...2.928.76..5.8.2....67.59.2..  ED=11.7/1.2/1.2
.......12.....3..4..1...356..7.8.....1934....84.7.91...9...7.4.13.8.4...7..91....  ED=11.7/1.2/1.2
.......12.....3..4..1...356..7.81.....934....48.7.91...7.91....31.8.4...9....7.4.  ED=11.7/1.2/1.2
........1.....2345.23.....6..7.8..62.96.3....28.7......7896.2..63...8...9.2..7...  ED=11.7/1.2/1.2
.......12.....3..4..3....5....46.....67.38..58..5.7....38.4....6.587.4..74...65..  ED=11.7/1.2/1.2
........1.....2.34.....3256..3.17....782.....9..83.....923.....7....81..8.179.3..  ED=11.7/1.2/1.2
........1.....2.34.....3256..3.17....782.....9..83.....92......73...81..8.179.3..  ED=11.7/1.2/1.2
........1.....2.34.....3256..2.17.....893....79......3.1978....3.7.291..82.......  ED=11.7/1.2/1.2
........1.....2.34.....3256..7.8.....321.9...98......3.1879....3.92.81..72.......  ED=11.7/1.2/1.2
........1.....2.34.....3256..2.17.....89.....79......3.1978....3.7.291..82.3.....  ED=11.7/1.2/1.2
.......12.....3..4..1...356..7.8.....1934....8..9.71...7...9.4.13.8.....9.471....  ED=11.7/1.2/1.2
.......12.....3..4..1...356..7.81.....934.....8.9.71...9471....31.8.....7....9.4.  ED=11.7/1.2/1.2
........1....23.....2145.....67...8..29...17.8..2..9.6.6..7...921....8..9.7...62.  ED=11.7/1.2/1.2
........1....23.....2145.....6...17...87...92.9.2..6.8.67...82.12....9..8...7...6  ED=11.7/1.2/1.2
........1....23.....2145.....67...8..29...1..87.2..9.6.6..7...921....8.79.....62.  ED=11.7/1.2/1.2
........1....23.....2145.....6....1...78..9.289.2...67.6....27.12.....987...8...6  ED=11.7/1.2/1.2
........1.....2345.23........6.7..82.98.3....27.6......3...6....6798.2..9.2..78..  ED=11.7/1.2/1.2
........1....23.....2145.....67...8..29...1..87.2..9.6.6......921....8.79.7...62.  ED=11.7/1.2/1.2
........1....23.....2145.....67...8..29...17.8..2..9.6.6......921....8.79.7...62.  ED=11.7/1.2/1.2
........1....23.....2145.....6....1...78..9.289.2...67.68...27.12.....987.......6  ED=11.7/1.2/1.2
........1....23.....2145.....6...17...87...92.9.2..6.8.67...82.12....9.78.......6  ED=11.7/1.2/1.2
........1.....2.34.25.....6....67....8.9.....9.75....2.72.596..5.82.....69.78.2..  ED=11.7/1.2/1.2
........1.....2.34.....3256..7..81...1879.3..92.........983.....32.17...78.2.....  ED=11.7/1.2/1.2
........1.....2.34.....3256..7.281...1879.3..92.........98......32.17...78......3  ED=11.7/1.2/1.2
........1.....2.34.....3256..7.281...1879....92.3.......98......32.17...78......3  ED=11.7/1.2/1.2
........1.....2.34.....3256..7.281...1879.3..92.........983.....32.17...78.......  ED=11.7/1.2/1.2
........1.....2.34.25.....6..7.2.....825.96..69.78.2...5.6.8....7..9....9.8.5...2  ED=11.7/1.2/1.2
.......12.....3..4..1...356..7.81.....934.....8.9.71...947.....31.8.....7....9.41  ED=11.7/1.2/1.2
.......12.....3..4..1...356..7.81.....934.....8.9.71...9471....3..8.....7....9.41  ED=11.7/1.2/1.2
........1.....2.34.....3256..2.17.....893....79.2....3.1978....3.7..91..82.......  ED=11.7/1.2/1.2
........1.....2.34.....3256..2.17.....89.....79.2....3.1978....3.7..91..82.3.....  ED=11.7/1.2/1.2
........1.....2.34.....3256..7..81...1879.3..92.........98......32.17...78.2....3  ED=11.7/1.2/1.2
........1....23.....2145.....6...17...87...9279....6.8.1....7.9.8...2..66.9...82.  ED=11.7/1.2/1.2
........1....23.....2145.....67...8..29...17.78....9.6.1....7.8.6...2..99.8...62.  ED=11.7/1.2/1.2
........1....23.....2145.....67...82.29...17.78....9.6.1....7.8.6...2..99.8...6..  ED=11.7/1.2/1.2
........1....23.....2145.....6...17...87...9279....6.8.8...2..621....7.96.9...8..  ED=11.7/1.2/1.2
........1.....2.34.25.....6.5..7....28.6.9...7.9.8...2.9.8.76..5.8......67.59.2..  ED=11.7/1.2/1.2
........1.....2345.23.....6..7.8..62.8.7......96.3.....7896.2..63..28...9....7...  ED=11.7/1.2/1.2
...............123.....1.45..1.67.....894....79...8.6..47.16...6.978.4..81...9...  ED=11.7/1.2/1.2
...............123.....1.45..1.67.....894....79.1.8.6..47..6...6.978.4..81...9...  ED=11.7/1.2/1.2
.......12......345....13.....6..7..1.13.89...97..6.....89.76...6.183....7..9..8..  ED=11.7/1.2/1.2
........1......234....25.....6.7...5.52.89...87...6....98.675..6..9.2...7..85.9..  ED=11.7/1.2/1.2
........1......234....25.....6.7...5.52.89...87...6....98.675..6.59.2...7..8..9..  ED=11.7/1.2/1.2
.......12.....3..4..1....56....37....789..4..93.84.1...4971....7...89..18..3.....  ED=11.7/1.2/1.2
.......12......345....13.....6..7..1.13.89...97..6.....89.76...6..9..8..7.183....  ED=11.7/1.2/1.2
........1......234....25.....6.7...5.52.89...87...6....98.675..6..85.9..7..9.2...  ED=11.7/1.2/1.2
........1......234....25.....6.7...5.52.89...87...6....98.675..6..8..9..7.59.2...  ED=11.7/1.2/1.2
........1.......23....45..6..45.7....5869.4..97..846....79.8....49.5....86..7....  ED=11.7/1.2/1.2
........1.......23....45..6..45.7....5869.4..97..8.6....79.8....49.5....86.47....  ED=11.7/1.2/1.2
........1.......23....45..6..647.....78..96..94.6.85...695.7...7..89....85...4...  ED=11.7/1.2/1.2
.......12.....3..4..1...356..7.81.....934.....8.7.91...749.....31.8.....9....7.41  ED=11.7/1.2/1.2
.......12.....3..4..1...356..7.81.....934.....8.7.91...7491....3..8.....9....7.41  ED=11.7/1.2/1.2
.......12.....3..4..1...356..7.8.....1934....8..7.91...9...7.4.13.8.....7.491....  ED=11.7/1.2/1.2
.......12.....3..4..1...356..7.81.....934.....8.7.91...7491....31.8.....9....7.4.  ED=11.7/1.2/1.2
........1.....2345.23.....6..7.8..62.9..3....28.7.6....789..2..63...8...9.2..7...  ED=11.7/1.2/1.2
........1......234....25..6..7..8....25.69....8..7..65.69.875..7..9.....85.6.2...  ED=11.7/1.2/1.2
........1......234....25..6..7..8....25.69....8..7..65.69.875..7..95....8..6.2...  ED=11.7/1.2/1.2
........1.....2345.23........6.7..82.9..3....27.6.8....679..2..83...7...9.2..68..  ED=11.7/1.2/1.2
........1.....2345.23........6.7..82.98.3....27.6......3...7....6798.2..9.2..68..  ED=11.7/1.2/1.2
........1......234....25..6..7..8....25.69....8.27..6..69.875..7..9.....85.6.2...  ED=11.7/1.2/1.2
........1......234....25..6..7.8..6..52.69....8.5.7....96.785..7.56.2...8..9.....  ED=11.7/1.2/1.2
........1......234....25..6..7..8....25.69....8.27..6..69.875..7..95....8..6.2...  ED=11.7/1.2/1.2
........1......234....25..6..7.8..6..52.69....8.5.7....96.785..7..6.2...8..95....  ED=11.7/1.2/1.2
........1.....2.3...1....45..3..6....67.8.1..82..71....18.63...2.67.8..37...2....  ED=11.7/1.2/1.2
........1.....2.3...1....45..3.26....678..1..82.7.1....186.3...2.6.78..37........  ED=11.7/1.2/1.2
........1....23.....2.45.....6.......1..7..8687....9.2.27....1916....8..9.82..6.7  ED=11.7/1.2/1.2
........1....23.....2.45.....6....7..1..7..868.....9.2.27....1916....8..9.82..6.7  ED=11.7/1.2/1.2
........1...234.....2.15.....67...8..19....728.....9.6.2....8.7.9....61.6.7....29  ED=11.7/1.2/1.2
.......12.......34.....5..6..5.78.....89.6...67..1.....16.59...5.78..1..98.7..6..  ED=11.7/1.2/1.2
.......12.......34.....5..6..1.57....789..6..95.86.1...69.1....5...98...8..7.6...  ED=11.7/1.2/1.2
........1....23.....2145.....6...17...87...92.9....6.8.67...8..12....9..8...72..6  ED=11.7/1.2/1.2
........1....23.....2145.....67...8..29...17.8.....9.6.1....8...6..72..99.7...62.  ED=11.7/1.2/1.2
........1....23.....2145.....67...82.29...17.8.....9.6.1....8...6..72..99.7...6..  ED=11.7/1.2/1.2
........1....23.....2145.....6...17...87...92.9....6.8.67...82.1.....9..8...72..6  ED=11.7/1.2/1.2
........1....23.....2145.....6....1...78..9.289.....67.6.....7.12.....987...82..6  ED=11.7/1.2/1.2
........1....23.....2145.....67...8..29...1..87....9.6.1....8.7.6..72..99.....62.  ED=11.7/1.2/1.2
........1....23.....2145.....67...82.29...1..87....9.6.1....8.7.6..72..99.....6..  ED=11.7/1.2/1.2
........1....23.....2145.....6....1...78..9.289.....67.6....27.1......987...82..6  ED=11.7/1.2/1.2
........1..2.34.5...65.123.......3.5....5264....3.6.1..2......467..4....89..6....  ED=11.7/1.2/1.2
........1.....2345.23........6.7..82.7.6......98.3.....3..26....6798.2..9....78..  ED=11.7/1.2/1.2
........1....23.....2145.....6....1...78..9.289.....67.68....7.12.....987....2..6  ED=11.7/1.2/1.2
........1....23.....2145.....6...17...87...92.9....6.8.67...8..12....9.78....2..6  ED=11.7/1.2/1.2
........1....23.....2145.....67...8..29...1..87....9.6.1....8.7.6...2..99.7...62.  ED=11.7/1.2/1.2
........1....23.....2145.....67...82.29...1..87....9.6.1....8.7.6...2..99.7...6..  ED=11.7/1.2/1.2
........1....23.....2145.....67...8..29...17.8.....9.6.1....8.7.6...2..99.7...62.  ED=11.7/1.2/1.2
........1....23.....2145.....67...82.29...17.8.....9.6.1....8.7.6...2..99.7...6..  ED=11.7/1.2/1.2
........1....23.....2145.....6....1...78..9.289.....67.68...27.1......987....2..6  ED=11.7/1.2/1.2
........1....23.....2145.....6...17...87...92.9....6.8.67...82.1.....9.78....2..6  ED=11.7/1.2/1.2
........1..2.34.5...65.123.....5264....3...1..6....3.5.2......467..4....89..6....  ED=11.7/1.2/1.2
........1......234....25.....6..2.....785.9..89..765...7..6..9552..98...6....7...  ED=11.7/1.2/1.2
........1......234....25.....6..2.....785.9..89..765...7.26..9.52..98...6....7...  ED=11.7/1.2/1.2
........1......234....25.....6..2.....785.9..89..765...7..6..9.52..98...6..5.7...  ED=11.7/1.2/1.2
........1..2.34.5...65.123.....5264....3...1..6.4..3.5.2......467.......89..6....  ED=11.7/1.2/1.2
.......12.....3..4..1....56....37....389..4..97.84.1...49.1....3...89..18..7.....  ED=11.7/1.2/1.2
........1..2.34.5...65.123.....5264....3.6.1....4..3.5.2......467.......89..6....  ED=11.7/1.2/1.2
........1.....2.34.25.....6..7.......8..596..69.87.2...7.9.....25..68...9.85....2  ED=11.7/1.2/1.2
........1.....2.34.25.....6.7..586..5.9......68.79.2...9.8.....2...67...8.75....2  ED=11.7/1.2/1.2
........1......234....25.....6..2.....785.9..89..765...7..6...552..98...6.9..7...  ED=11.7/1.2/1.2
........1.......23....45..6..478.....57..9...86.5.4....986.75..6...9....74...86..  ED=11.7/1.2/1.2
........1.......23....45..6..4..7....7869.4..95..8.6....59.8....49.7....86.45....  ED=11.7/1.2/1.2
........1.......23....45..6..478.....57..9...86.5......986.75..6..49....74...86..  ED=11.7/1.2/1.2
........1.......23....45..6..45.7....7869.4..95..8.6....59.8....49.7....86.4.....  ED=11.7/1.2/1.2
........1.......23....45..6..4..7....7869.4..95..846....59.8....49.7....86..5....  ED=11.7/1.2/1.2
........1.......23....45..6..45.7....7869.4..95..846....59.8....49.7....86.......  ED=11.7/1.2/1.2
........1.....2.34.....3256..3.17....782....39..8......923.....7....81..8.179....  ED=11.7/1.2/1.2
........1.....2.34.....3256..3.17....782....39..8......92......73...81..8.179....  ED=11.7/1.2/1.2
.......12.....1345.13........6.7..81.7.6.8....9..3.....679.....83..17...9....68..  ED=11.7/1.2/1.2
........1.....2345.23.....6..7.8..62.8.7.6....9..3.....789..2..63..28...9....7...  ED=11.7/1.2/1.2
........1.....2345.23........6.7..82.7.6.8....9..3.....679..2..83..27...9....68..  ED=11.7/1.2/1.2
........1...234.....2.15.....67...8..29...1..87....6.9.9......621....8.76.7...92.  ED=11.7/1.2/1.2
........1...234.....2.15.....67...8..29...17.8.....6.9.9......621....8.76.7...92.  ED=11.7/1.2/1.2
.......12.......34.....5..6..5.78....689.....71.56......6..9....9781.6..85.7..1..  ED=11.7/1.2/1.2
.......12.......34.....5..6..5.78....689.....71.5.......6..9....9781.6..85.7.61..  ED=11.7/1.2/1.2
.......12.......34.....5..6..5.78....689.....71..6......6.59....9781.6..85.7..1..  ED=11.7/1.2/1.2
.......12.......34.....5..6..5.78....689.....71.........6.59....9781.6..85.7.61..  ED=11.7/1.2/1.2
........1....23.......45.....1..6.78.68...9..73....16...6.....9.976..83.81.3..7..  ED=11.7/1.2/1.2
........1....23.......45.....1..6.78.68...9..73....1....6.....9.976..83.81.3..7.6  ED=11.7/1.2/1.2
........1....23.......45.....1..6.78.68...9..73.....6...6....19.976..83.81.3..7..  ED=11.7/1.2/1.2
........1....23.......45.....1..6.78.68...9..73.........6....19.976..83.81.3..7.6  ED=11.7/1.2/1.2
.......12......345....13.....6..7.81.13.9....87..6.....9..76...6.183....7..9..8..  ED=11.7/1.2/1.2
........1..2.34.5...65.123.....5264....3...1..6....5.3.2......467..4....89..6....  ED=11.7/1.2/1.2
........1..2.34.5...65.123.......5.3....5264....3.6.1..2......467..4....89..6....  ED=11.7/1.2/1.2
........1......234....25..6..7.8..65.52..9...68...7....9..785..7.56.2...8..9.....  ED=11.7/1.2/1.2
........1......234....25..6..7.8..65.52..9...68...7....9..785..7..6.2...8..95....  ED=11.7/1.2/1.2
........1......234....25.....6.7..85.52..9...87...6....9..675..6.58.2...7..9..8..  ED=11.7/1.2/1.2
........1......234....25.....6.7..85.52..9...87...6....9..675..6..8.2...7..95.8..  ED=11.7/1.2/1.2
........1.....2345.23........6.7..82.7.6......98.3.....3..27....6798.2..9....68..  ED=11.7/1.2/1.2
........1......234....25.....6..7....25.89....7..6..85.89.765..6..9..8..75...2...  ED=11.7/1.2/1.2
........1......234....25.....6..2.....785.9..89..675...6..7..9552..98...7....6...  ED=11.7/1.2/1.2
........1......234....25..6..7.895...9.7.....58.6.2....69..8...2.5..7...8..29..6.  ED=11.7/1.2/1.2
........1......234....25..6..7.8..6..52..9...68.5.7....9..785..7.56.2...8..9.....  ED=11.7/1.2/1.2
........1......234....25..6..7.895...8.6.2....9.75.....69..8...2.5..7...8..29..6.  ED=11.7/1.2/1.2
........1......234....25..6..7.8..6..52..9...68.5.7....9..785..7..6.2...8..95....  ED=11.7/1.2/1.2
........1......234....25.....6.785...8.6..9..57.9.2....98..7...2.5..6...7..28..9.  ED=11.7/1.2/1.2
........1......234....25.....6.7..8..52..9...87.5.6....9..675..6.58.2...7..9..8..  ED=11.7/1.2/1.2
........1......234....25.....6.785...7.9.2....8.65.9...98..7...2.5..6...7..28..9.  ED=11.7/1.2/1.2
........1......234....25.....6.7..8..52..9...87.5.6....9..675..6..8.2...7..95.8..  ED=11.7/1.2/1.2
........1......234....25.....6..7....25.89....7.26..8..89.765..6..9..8..75...2...  ED=11.7/1.2/1.2
........1......234....25.....6.7..8..52.89....7.5.6....98.675..6.5..2...7..9..8..  ED=11.7/1.2/1.2
........1......234....25.....6..2.....785.9..89..675...6.27..9.52..98...7....6...  ED=11.7/1.2/1.2
........1......234....25.....6..2.....785.9..89..675...6..7..9.52..98...7..5.6...  ED=11.7/1.2/1.2
........1..2.34.5...65.123.....5264....3...1..6.4..5.3.2......467.......89..6....  ED=11.7/1.2/1.2
........1..2.34.5...65.123.....5264....3.6.1....4..5.3.2......467.......89..6....  ED=11.7/1.2/1.2
.......12......345....13.....6..7..1.13.89...97..6.....8..76...6.193....7..8..9..  ED=11.7/1.2/1.2
........1......234....25.....6.7...5.52.89...87...6....98.675..6.5..2...7..9..8..  ED=11.7/1.2/1.2
........1......234....25.....6.7...5.52.89...87...6....9..675..6.58.2...7..9..8..  ED=11.7/1.2/1.2
........1......234....25.....6..2.....785.9..89..675...6..7...552..98...7.9..6...  ED=11.7/1.2/1.2
........1......234....25.....6.7...5.52.89...87...6....9..675..6..8.2...7..95.8..  ED=11.7/1.2/1.2
.......12.......34.....5..6..6..7....7819.6..95..8.1....79.8....69.5....81.67....  ED=11.7/1.2/1.2
........1....23.......45.....6.....7.786..29.91.2...8...7.6.9.8.69....1.82....67.  ED=11.7/1.2/1.2
........1...234.....2.15..........67.8....19.9.7...2.8.18...7..2.97..6..6......89  ED=11.7/1.2/1.2


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..............1..2.13.....4....56...5.73.8.1.68.17.3.5..67...8117.68.5..3....5...  ED=11.6/1.2/1.2
..............1..2.13.....4....56.....73.8.1.68.17.3.5.567...8117.68.5..3....5...  ED=11.6/1.2/1.2
........1.....2345.23.....6..7.8..62.96.3....28.7......7896.2..63...7...9.2..8...  ED=11.6/1.2/1.2
........1......234.....2.56..7.18....1295....89.2.7....58..1...72...9...9.187.5..  ED=11.6/1.2/1.2
.......12......345.....1..6..7.83....8.7.96..39.61.....7893....1.3.67...96...8...  ED=11.6/1.2/1.2
........1.......2.....13.4...5..671..76.5...88..3......5167..8368...1...7.38.5...  ED=11.6/1.2/1.2
........1.......2.....13.4...5.6781..6.3.....8.7.5...6.83..5...5.178..6367...1...  ED=11.6/1.2/1.2
........1.......2.....13.4...5..671..7615...88..3......5167..8368.......7.38.5...  ED=11.6/1.2/1.2
........1.......2.....13.4...5..67...7615...881.3......5167..8368.......7.38.5...  ED=11.6/1.2/1.2
........1.......2.....13.4...5.6781..6.3.....8.715...6.83..5...5.178..6367.......  ED=11.6/1.2/1.2
........1.......2.....13.4...5.678...8715...661.3......5178..6376.......8.3..5...  ED=11.6/1.2/1.2
........1.....2345.23.....6..7.8..62.9..3....28.7.6....789..2..63...7...9.2..8...  ED=11.6/1.2/1.2
........1.....2345.23.....6..7.8..62.8.7......96.3.....7896.2..63..27...9....8...  ED=11.6/1.2/1.2
........1.....2345.23........6.7..82.9..3....27.6.8....679..2..83...6...9.2..78..  ED=11.6/1.2/1.2
........1......234....25..6..7..8....25.69....8..7..65.69.875..75.6.2...8..9.....  ED=11.6/1.2/1.2
........1......234....25..6..7..8....25.69....8..7..65.69.875..7..6.2...8..95....  ED=11.6/1.2/1.2
........1......234....25..6..7..8....25.69....8.27..6..69.875..75.6.2...8..9.....  ED=11.6/1.2/1.2
........1......234....25..6..7.8..6..52.69....8.5.7....96.785..7..9.....8.56.2...  ED=11.6/1.2/1.2
........1......234....25..6..7..8....25.69....8.27..6..69.875..7..6.2...8..95....  ED=11.6/1.2/1.2
........1......234....25..6..7.8..6..52.69....8.5.7....96.785..7..95....8..6.2...  ED=11.6/1.2/1.2
........1....23......145.....6....17.18...92.97.2..6.8.89......1.7.8..6962....7..  ED=11.6/1.2/1.2
........1......23......2.4...5.61....1728...68..5.7....76.158..12...8...5.87...6.  ED=11.6/1.2/1.2
........1......23......2.4...5.61.....728...6.8.5.7.1..587...6.21...8...7.6.158..  ED=11.6/1.2/1.2
...............123.....1.45..1.67.....894....79...8.6..6978.4..18...6...4.7.19...  ED=11.6/1.2/1.2
...............123.....1.45..1.67.....894....79.1.8.6..6978.4..18...6...4.7..9...  ED=11.6/1.2/1.2
........1....23......145.....6....17.18...92.97.2..8.6.69......1.7.6..9882....7..  ED=11.6/1.2/1.2
........1......234.....2.5...2.67.....895....79.2.8.6..6978.5..28...6...5.7..9...  ED=11.6/1.2/1.2
........1......234.....2.5...2.67.....895....79...8.6..6978.5..28...6...5.7.29...  ED=11.6/1.2/1.2
........1......234.....2.5...6.27....2891....97.8.61...69......2.7.98..681.7.....  ED=11.6/1.2/1.2
........1.....2.3...4..5.....6.3...7.73...81.84.7..6...3..1..764.7....8.61.8....4  ED=11.6/1.2/1.2
........1.....2.3.....4..5....6.7....27.18..486..2.1...1.7.....64..8.7..7.2.6..48  ED=11.6/1.2/1.2
........1.......2.....13.4...5..671...6.5...8.8.3.7....738.5...5.16...8386...1...  ED=11.6/1.2/1.2
........1.......2.....13.4...5.6...7..6.7581..7.3.8....83..6...6.15...7375...1...  ED=11.6/1.2/1.2
........1.......2.....13.4...5..671...615...8.8.3.7....738.5...5.16...8386.......  ED=11.6/1.2/1.2
........1.......2.....13.4...5..67....615...818.3.7....738.5...5.16...8386.......  ED=11.6/1.2/1.2
........1.......2.....13.4...5.6781...715...6.6.3.8....83..5...5.17...6367.......  ED=11.6/1.2/1.2
........1.......2.....13.4...5.678....715...616.3.8....83..5...5.17...6367.......  ED=11.6/1.2/1.2
........1.....2.3.....4..5....6.7....27.18..486..2.1...187.....64....7..7.2.6..48  ED=11.6/1.2/1.2
.......12.....1345.13........6.7..81.7.6.8....9..3.....679.....83..16...9....78..  ED=11.6/1.2/1.2
........1.....2345.23.....6..7.8..62.8.7.6....9..3.....789..2..63..27...9....8...  ED=11.6/1.2/1.2
........1.....2345.23........6.7..82.7.6.8....9..3.....679..2..83..26...9....78..  ED=11.6/1.2/1.2
.......12......345....13.....6..7.81.13.9....87..6.....9..76...6..9..8..7.183....  ED=11.6/1.2/1.2
........1......234....25..6..7.8..65.52..9...68...7....9..785..7..9.....8.56.2...  ED=11.6/1.2/1.2
........1......234....25..6..7.8..65.52..9...68...7....9..785..7..95....8..6.2...  ED=11.6/1.2/1.2
........1......234....25.....6.7..85.52..9...87...6....9..675..6..9..8..7.58.2...  ED=11.6/1.2/1.2
........1......234....25.....6.7..85.52..9...87...6....9..675..6..95.8..7..8.2...  ED=11.6/1.2/1.2
........1......234....25.....6..7....25.89....7..6..85.89.765..65...2...7..9..8..  ED=11.6/1.2/1.2
........1......234....25..6..7.895...8.7.....59.6.2....69..8...2.5..7...8..29..6.  ED=11.6/1.2/1.2
........1......234....25..6..7.8..6..52..9...68.5.7....9..785..7..9.....8.56.2...  ED=11.6/1.2/1.2
........1......234....25..6..7.895...8.75.....9.6.2....69..8...2.5..7...8..29..6.  ED=11.6/1.2/1.2
........1......234....25..6..7.8..6..52..9...68.5.7....9..785..7..95....8..6.2...  ED=11.6/1.2/1.2
........1......234....25.....6.785...7.6..9..58.9.2....98..7...2.5..6...7..28..9.  ED=11.6/1.2/1.2
........1......234....25.....6.7..8..52..9...87.5.6....9..675..6..9..8..7.58.2...  ED=11.6/1.2/1.2
........1......234....25.....6.785...7.65.9...8.9.2....98..7...2.5..6...7..28..9.  ED=11.6/1.2/1.2
........1......234....25.....6.7..8..52..9...87.5.6....9..675..6..95.8..7..8.2...  ED=11.6/1.2/1.2
........1......234....25.....6..7....25.89....7.26..8..89.765..65...2...7..9..8..  ED=11.6/1.2/1.2
........1......234....25.....6.7..8..52.89....7.5.6....98.675..6..9..8..7.5..2...  ED=11.6/1.2/1.2
.......12......345....13.....6..7..1.13.89...97..6.....8..76...6..8..9..7.193....  ED=11.6/1.2/1.2
........1......234....25.....6.7...5.52.89...87...6....98.675..6..9..8..7.5..2...  ED=11.6/1.2/1.2
........1......234....25.....6.7...5.52.89...87...6....9..675..6..9..8..7.58.2...  ED=11.6/1.2/1.2
........1......234....25.....6.7...5.52.89...87...6....9..675..6..95.8..7..8.2...  ED=11.6/1.2/1.2
........1....23.....4..5.....67...8..19....748.....9.6.4....8.7.9..4.61.6.7.8..49  ED=11.6/1.2/1.2
........1....23.....1.45.....6....17..8...94.79.4..6.8.17.8..6946....7..8.9......  ED=11.6/1.2/1.2
........1......23......2.4...5..1.....627...878.6.5.1..675...8.21.8.....5...167..  ED=11.6/1.2/1.2
........1....23.....1.45.....6....17..8...94.79.4..8.6.17.6..9848....7..6.9......  ED=11.6/1.2/1.2
........1......23......2.4...5..1....1627...887.5.6....6..157..12.8.7...5..6...8.  ED=11.6/1.2/1.2
........1......23......2.4...5..1.....627...878.5.6.1..576...8.21.8.....6...157..  ED=11.6/1.2/1.2
........1......23......2.4...5..1.....627...878.5.6.1..5.6...8.21.8.7...6...157..  ED=11.6/1.2/1.2
........1......23......2.4...5..1.....627...878.5.6.1..5.6.....21.8.7...6.8.157..  ED=11.6/1.2/1.2
........1....23.....41.5.....6...17...8.7..94.9....6.8.87.....641......96.97..84.  ED=11.6/1.2/1.2
........1....12......3.4.....5....63.376..18.8.....5.7.78.36..531.......5.6.8.7..  ED=11.6/1.2/1.2
........1...234.....2.15.....67...8..29...1..78....6.9.9......621....8.76.8...92.  ED=11.6/1.2/1.2
.......12.......34.....5..6..6..7....7819.6..95..8.1....78.9....69.5....81.67....  ED=11.6/1.2/1.2
........1....23.......45.....6.....7.786..29.91.2...86..7.6.8.9.69....1.82.....7.  ED=11.6/1.2/1.2
........1....23.......45.....6.....7.786..29.91.2...8...7.6.8.9.69....1.82....67.  ED=11.6/1.2/1.2
........1....23.....4..5...........6.7..8..499.8..671..476...8.1.9....6468....9.7  ED=11.6/1.2/1.2
........1....23.....4..5...........6.76.8..499.8.4.71..476...8..8....9.71.9....64  ED=11.6/1.2/1.2
........1....23.....4..5...........6.76.8..499.8..671..476...8..8....9.71.9....64  ED=11.6/1.2/1.2
........1....23.....4..5.....67...8..19....7487....9.6.4....8.7.9...761.6...8..49  ED=11.6/1.2/1.2
........1....23.....4..5.....67...8..19....7487....9.6.4......7.98..761.6...8..49  ED=11.6/1.2/1.2
........1....23.....4..5.....67...8..19....748.....9.6.4......7.98.4.61.6.7.8..49  ED=11.6/1.2/1.2
........1....23.....4..5.....67...8..19....748.....9.6.4......7.98..761.6.7.8..49  ED=11.6/1.2/1.2
........1....23....45..6.....4.......57..819.98..5.4.7.71...8.4.9.8..5..5......79  ED=11.6/1.2/1.2
...........1.23.45.2.41.3.6.......6..7.15.....89...........143....64..522...35..1  ED=11.6/1.2/1.2
........1.....2.3...4....5....16......7..821..8...7..4.4167....6.8.24...72.8.1..6  ED=11.6/1.2/1.2
........1.....2.3...4....5.....6......7..821.18...7..4.4167....6.8.24...72.8.1..6  ED=11.6/1.2/1.2
........1.....2.3...4....5....16......7..82..18...7..4.4167....6.8.24...72.8.1..6  ED=11.6/1.2/1.2
........1.....2.3...4....5....16......7..821..8.2.7..4.4167....6.8..4...72.8.1..6  ED=11.6/1.2/1.2
........1.....2.3...4....5.....6......7..821.18.2.7..4.4167....6.8..4...72.8.1..6  ED=11.6/1.2/1.2
........1.....2.3...4....5....16......7..82..18.2.7..4.4167....6.8..4...72.8.1..6  ED=11.6/1.2/1.2
........1.....2.3...4....5....16.....67..821..8...7..4..8.24....4167....72.8.1..6  ED=11.6/1.2/1.2
........1.....2.3...4....5.....6.....67..821.18...7..4..8.24....4167....72.8.1..6  ED=11.6/1.2/1.2
........1.....2.3...4....5....16.....67..82..18...7..4..8.24....4167....72.8.1..6  ED=11.6/1.2/1.2
........1.....2.3...4....5....16.....67..821..8.2.7..4..8..4....4167....72.8.1..6  ED=11.6/1.2/1.2
........1.....2.3...4....5.....6.....67..821.18.2.7..4..8..4....4167....72.8.1..6  ED=11.6/1.2/1.2
........1.....2.3...4....5....16.....67..82..18.2.7..4..8..4....4167....72.8.1..6  ED=11.6/1.2/1.2
........1.....2.3...4....5.....6......7..821.18...7..4.4.67....6.8.241..72.8.1..6  ED=11.6/1.2/1.2
........1.....2.3...4....5....16......7..82..18...7..4.4.67....6.8.241..72.8.1..6  ED=11.6/1.2/1.2
........1.....2.3...4....5.....6......7..821.18.2.7..4.4.67....6.8..41..72.8.1..6  ED=11.6/1.2/1.2
........1.....2.3...4....5....16......7..82..18.2.7..4.4.67....6.8..41..72.8.1..6  ED=11.6/1.2/1.2
........1.....2.3...4....5.....6.....67..821.18...7..4..8.241...4.67....72.8.1..6  ED=11.6/1.2/1.2
........1.....2.3...4....5....16.....67..82..18...7..4..8.241...4.67....72.8.1..6  ED=11.6/1.2/1.2
........1.....2.3...4....5.....6.....67..821.18.2.7..4..8..41...4.67....72.8.1..6  ED=11.6/1.2/1.2
........1.....2.3...4....5....16.....67..82..18.2.7..4..8..41...4.67....72.8.1..6  ED=11.6/1.2/1.2
........1.....2.3...4....5...167.....68.24...27.8.1..6..7..821..4.16....8....7..4  ED=11.6/1.2/1.2
........1.....2.3...4....5...167.....68.24...27.8.1..6..7..821..4..6....81...7..4  ED=11.6/1.2/1.2
........1.....2.3...4....5...167.....68.24...27.8.1..6..7..82...4.16....81...7..4  ED=11.6/1.2/1.2
........1.....2.3...4....5...167.....68..4...27.8.1..6..7..821..4.16....8..2.7..4  ED=11.6/1.2/1.2
........1.....2.3...4....5...167.....68..4...27.8.1..6..7..821..4..6....81.2.7..4  ED=11.6/1.2/1.2
........1.....2.3...4....5...167.....68..4...27.8.1..6..7..82...4.16....81.2.7..4  ED=11.6/1.2/1.2
........1.....2.3...4....5...167......8.24...27.8.1..6.4.16....6.7..821.8....7..4  ED=11.6/1.2/1.2
........1.....2.3...4....5...167......8.24...27.8.1..6.4..6....6.7..821.81...7..4  ED=11.6/1.2/1.2
........1.....2.3...4....5...167......8.24...27.8.1..6.4.16....6.7..82..81...7..4  ED=11.6/1.2/1.2
........1.....2.3...4....5...167......8..4...26..81..7.4.71....7.6..821.8...26..4  ED=11.6/1.2/1.2
........1.....2.3...4....5...167......8..4...26..81..7.4.7.....7.6..821.81..26..4  ED=11.6/1.2/1.2
........1.....2.3...4....5...167......8..4...26..81..7.4.71....7.6..82..81..26..4  ED=11.6/1.2/1.2
........1.....2.3...4....5....67.....68.241..27.8.1..6..7..821..4..6....81...7..4  ED=11.6/1.2/1.2
........1.....2.3...4....5....67.....68.241..27.8.1..6..7..82...4.16....81...7..4  ED=11.6/1.2/1.2
........1.....2.3...4....5....67.....68..41..27.8.1..6..7..82...4.16....81.2.7..4  ED=11.6/1.2/1.2
........1.....2.3...4....5....67......8.241..27.8.1..6.4..6....6.7..821.81...7..4  ED=11.6/1.2/1.2
........1.....2.3...4....5....67......8.241..27.8.1..6.4.16....6.7..82..81...7..4  ED=11.6/1.2/1.2
........1.....2.3...4....5....67......8..41..26..81..7.4.7.....7.6..821.81..26..4  ED=11.6/1.2/1.2
........1.....2.3...4....5....67......8..41..26..81..7.4.71....7.6..82..81..26..4  ED=11.6/1.2/1.2
........1.....2.3...4....5....67.....68..41..27.8.1..6..7..821..4..6....81.2.7..4  ED=11.6/1.2/1.2
........1.....2.34..2.3..5....26..7...8.73..5.6.5.8....57.8....2....65.36.3....8.  ED=11.6/1.2/1.2
........1.....2.3.....14.5...1.3.5.6.6....78.85...7.13..57.1.6...6.8....37......8  ED=11.6/1.2/1.2
........1.....2.3.....14.5...56.1.7...7.8....36......8.7....68.6.1.3.5.785.....13  ED=11.6/1.2/1.2
........1....23.....4..5.....67.2.1..1..8..6.28....7.4.4......816..4..277.82..6..  ED=11.6/1.2/1.2
........1....23..4..5..4.6...4....78.618..5..7.....1...574..68.1.8...4..6...5...7  ED=11.6/1.2/1.2
........1....23.....4..5.....2.....6.76...48.81..4.2.7.487.21..1...6.8..6......74  ED=11.6/1.2/1.2
........1....23.....4..5.....67.218..1..8.6..2......74.42.....816..4.2.77.8....6.  ED=11.6/1.2/1.2
........1....23..4..5..4.6...4....78.618..5..7.....1.6.574...8.1.8......64..5...7  ED=11.6/1.2/1.2
........1....23..4..5..4.6...4....78.618..5..7.....1...574..6..1.8...4..6...58..7  ED=11.6/1.2/1.2
........1..2..3.....1.45.......6..7...78.4.1.46....8.2.2......617..2..488.64..7..  ED=11.6/1.2/1.2
........1....23..4..5..4.6...4....78.618..5..78....1...57...68.1........64..58..7  ED=11.6/1.2/1.2
........1....23..4..5..4.6...4....78.618..5..7.....1.6.57......1.8...4..64..58..7  ED=11.6/1.2/1.2
........1....23..4..5..4.6...4....78.618..5..7.....1.6.574.....1.8......64..58..7  ED=11.6/1.2/1.2
........1....23..4..5..4.6...7...6...18.....546..58..7.54....78.7....1..6.18..5..  ED=11.6/1.2/1.2
..............1..2.13.....4....56....7.3.8.1.6...7.3.5..76..5...657...8138...5...  ED=11.6/1.2/1.2
..............1..2.13.....4....56...57.3.8.1.6...7.3.5..76..5...6.7...8138...5...  ED=11.6/1.2/1.2
........1....12......3.4.....5....63..76..18..8...35.7.56.8.7..13.......7.8..6..5  ED=11.6/1.2/1.2
........1....23.....4..5.....67...8..19....748.....9.6.4....8...9...761.6.7.8..49  ED=11.6/1.2/1.2
........1....23..4..5..4.6...4....78.618..5..7.....1...57...6..1.8......64..58..7  ED=11.6/1.2/1.2
........1....23.....4..5.....67.2.1..1..8..6..8....7.4.42.....816..4..277.8...6..  ED=11.6/1.2/1.2
........1.....2.......3..24..2..5.67.5.8.....73...6.....3.5.8.2..5..3.7.68.2.7...  ED=11.6/1.2/1.2
........1.....2.......3..24..2..5.67.5.8.....73..26.....3.5.8.2..5..3.7.68...7...  ED=11.6/1.2/1.2
........1.....2.......3..24..23.5.67.5.8.....73..26.....3.5.8.2..5....7.68...7...  ED=11.6/1.2/1.2
........1.....2.......3..24..23.5.67.5.8.....73...6.....3.5.8.2..5....7.68.2.7...  ED=11.6/1.2/1.2
mith
 
Posts: 803
Joined: 14 July 2020

Re: The hardest sudokus (new thread)

Postby mith » Wed Jan 12, 2022 3:39 pm

Code: Select all
........1....23.....4..5...........6.7..8..499.8...71..476...8.1.9....6468.1..9.7  ED=11.7/1.2/1.2
........1....23.....4..5.....67...8..19....7487.1..9.6.4......7.98...61.6...8..49  ED=11.7/1.2/1.2
........1....23.....4..5..........67.8....19.9...6.4.8.18...7.44.97..6..67.1...89  ED=11.7/1.2/1.2
........1....23.....4..5.....67...8..19....7487.1..9.6.4....8.7.9....61.6...8..49  ED=11.7/1.2/1.2


Hidden Text: Show
Code: Select all
........1..2..3.....1.45..........16.7..2.4.88.64..27..1..6.7..2.78.416.4......82  ED=11.6/1.2/1.2
........1..2..3.....1.45..........16.7..2.4.88.64..27..1..6.7..2.78.41..46.....82  ED=11.6/1.2/1.2
........1....23..4..5..4.6...7....8..1....4.546..58..7.54....786.18..5..87....1.6  ED=11.6/1.2/1.2
........1.....2.3.....14.5...56.137...7.8...536....1.8.73...68.6.1.3...785.......  ED=11.6/1.2/1.2
........1.....2.3.....14.5...6.7...5.758.136.38........63...87.75.....1.8.1.3...6  ED=11.6/1.2/1.2
........1.....2.3.....14.5...6.7...5.758.136.38....1...63...87.75.......8.1.3...6  ED=11.6/1.2/1.2
........1.....2.34..2.3..5.....6..7..28.73..5.6.5.8....5738....2....65..6.3.2..8.  ED=11.6/1.2/1.2
..............1.23..4.5.1.6.1.7.8....56..48..8.7.......48.756...6.1.....7.14.6..8  ED=11.6/1.2/1.2
........1.....2.34..2.3..5.....6..7..28.73..5.6.5.8....573.....28...65..6.3.2..8.  ED=11.6/1.2/1.2
..............1.23..4.5.1.6..7.856...6.1.....8.14.6..7.56..47..41.8.7...7.8......  ED=11.6/1.2/1.2
........1.....2.34..2.3..5.....6..7..28.73..5.6.5.8....57.8....2..7.65..6.3.2..8.  ED=11.6/1.2/1.2
..............1.23..4.5.1.6.1.7.8....56..48..8.7.......48.756..5..1.....7.14.6..8  ED=11.6/1.2/1.2
........1.....2.34..2.3..5.....6..7..28.73..5.6.5.8....57.8....2....65.36.3.2..8.  ED=11.6/1.2/1.2
...........1..2.34.3..4.5.6....78....2.1.4.7.87.3......182.7.4.24..83..73........  ED=11.6/1.2/1.2
........1.....2.34..2.3..5.....6..7..28.73..5.6.5.8....57......28.7.65..6.3.2..8.  ED=11.6/1.2/1.2
..............1.23..4.5.1.6..7.856...5.1......814.6..7.78......14.8.7...5.6..47..  ED=11.6/1.2/1.2
........1.....2.34..2.3..5.....6..7..28.73..5.6.5.8....57......28...65.36.3.2..8.  ED=11.6/1.2/1.2
...........1..2.34.3..4.5.6....78....2.1.4.7.87.32.....18..7.4.24..83..73........  ED=11.6/1.2/1.2
........1.....2.34..2.3..5.....6..7..28..3..576.5.8....57.8....2..7.65..6.3.2..8.  ED=11.6/1.2/1.2
..............1.23..4.5.1.6.1.7.8....56..48..8.75......48.7.6..5..1.....7.14.6..8  ED=11.6/1.2/1.2
........1.....2.34..2.3..5.....6..7..28..3..576.5.8....57......28.7.65..6.3.2..8.  ED=11.6/1.2/1.2
..............1.23..4.5.1.6..7.8.6...5.1......814.6..7.785.....14.8.7...5.6..47..  ED=11.6/1.2/1.2
........1....23.....4..5...........6.762..48.81..4.2.7.2.....74.487.216.1...6.8..  ED=11.6/1.2/1.2
........1....23.45.25.1..6.....4..3...36....2.78.3........64.1....15..235....26.4  ED=11.6/1.2/1.2
........1....23.....4..5...........6.762..48.81..4.2.7.487.21..1...6.8..62.....74  ED=11.6/1.2/1.2
........1..2..3.....1.45...........6.764..28.81..2.4.7....6.8...287.41..64.....72  ED=11.6/1.2/1.2
........1..2..3.....1.45.....67.418..1..8.6..4......72.2.....18.6..2.4.77.84...6.  ED=11.6/1.2/1.2
........1..2..3.....1.45.....67.4.1..1..8..6.48....7.2.2....1.8.6..2..477.84..6..  ED=11.6/1.2/1.2
........1....23..4..5..4.6...7...68..1......546..58..7.54....786.18..5..87....1..  ED=11.6/1.2/1.2
........1....23.....4..5.....2.....6.76...48.81..4.2.7.2.....74.487.216.1...6.8..  ED=11.6/1.2/1.2
........1....23..4..5..4.6...7.......18...4.546..58..7.54....78.7....1.66.18..5..  ED=11.6/1.2/1.2
........1....23..4..5..4.6...4....78.618..5..78....1.6.57....8.1.....4..64..58..7  ED=11.6/1.2/1.2
........1.....2.3.....14.5...56.137...7.8....36......8.73...68.6.1.3.5.785.....1.  ED=11.6/1.2/1.2
........1.....2.3.....14.5...56.137...7.8....36....1.8.73...68.6.1.3.5.785.......  ED=11.6/1.2/1.2
........1.....2.3.....14.5...56.137...7.8...536......8.73...68.6.1.3...785.....1.  ED=11.6/1.2/1.2
........1.....2.3.....14.5...6.7.....758.136.38........63...87.75.....1.8.1.3.5.6  ED=11.6/1.2/1.2
........1.....2.3.....14.5...6.7.....758.136.38....1...63...87.75.......8.1.3.5.6  ED=11.6/1.2/1.2
........1.....2.3.....14.5...1.3.5.6.63...78.85...7.1...6.8.....857.136.37.......  ED=11.6/1.2/1.2
........1.....2.3.....14.5...1.3.5.6.63...78.85...7.1...57.136...6.8....37......8  ED=11.6/1.2/1.2
........1.....2.3.....14.5...1.3.5.6.63...78.85...7.....6.8.....857.136.37....1..  ED=11.6/1.2/1.2
........1.....2.3.....14.5...1.3.5.6.63...78.85...7.....57.136...6.8....37....1.8  ED=11.6/1.2/1.2
........1.....2.3.....14.5...1.3...6.63...78.85...7.1...6.8...5.857.136.37.......  ED=11.6/1.2/1.2
........1.....2.3.....14.5...1.3...6.63...78.85...7.1...57.136...6.8...537......8  ED=11.6/1.2/1.2
........1.....2.3.....14.5...1.3...6.63...78.85...7.....6.8...5.857.136.37....1..  ED=11.6/1.2/1.2
........1.....2.3.....14.5...1.3...6.63...78.85...7.....57.136...6.8...537....1.8  ED=11.6/1.2/1.2
........1....23..4..5..4.6...74...8..18...4.5.6..5...7.54....78.7....1.66.18..5..  ED=11.6/1.2/1.2
........1....23..4..5..4.6...74...8..18.....546..5...7.54....78.7....1.66.18..5..  ED=11.6/1.2/1.2
........1....23..4..5..4.6...74......18...4.5.6..58..7.54....78.7....1.66.18..5..  ED=11.6/1.2/1.2
........1....23..4..5..4.6...74......18.....546..58..7.54....78.7....1.66.18..5..  ED=11.6/1.2/1.2
........1....23..4..5..4.6...74..68..18...4.5.6..5...7.54....78.7....1..6.18..5..  ED=11.6/1.2/1.2
........1....23..4..5..4.6...74..6...18...4.5.6..58..7.54....78.7....1..6.18..5..  ED=11.6/1.2/1.2
........1.....2.3.....4.25....67.....47.81..286...41...1.72....62...87..7.4..6..8  ED=11.6/1.2/1.2
........1.....2.3.....4.25....67.....47.81..286...41...1872....62....7..7.4..6..8  ED=11.6/1.2/1.2
........1....23.....4..5.....67...8..19....7487....9.6.4....8.7.9..4.61.6...81.49  ED=11.6/1.2/1.2
........1....23.....4..5...........6.7..81.499.8.4.71..476...8.1.9....6468....9.7  ED=11.6/1.2/1.2
........1....23.....4..5.....67...8..19....7487....9.6.4......7.98.4.61.6...81.49  ED=11.6/1.2/1.2
..............1.23....2.4.5..6.7.....87..6.9.12..98....92.6.1..76..128..8.1..7...  ED=11.6/1.2/1.2
..............1.23....2.4.5..1..6....7289.1..69..128....9.6.....86..9.7.12..78...  ED=11.6/1.2/1.2
........1.....2.3.....14.5...56.1.7...7.8...536....1.8.7....68.6.1.3...785......3  ED=11.6/1.2/1.2
........1.......2.....13.4...53.6..7.73.851..86........58..76..63...1...7.1.5...8  ED=11.6/1.2/1.2
........1.....2.34..2.3..5....26..7...8.73..5.6.5.8....5738....2....65..6.3....8.  ED=11.6/1.2/1.2
..............1.23..4.5.1.6.1.7......56..48..8.7.......4..756...6.18....7.14.6..8  ED=11.6/1.2/1.2
........1.....2.34..2.3..5....26..7...8.73..5.6.5.8....573.....28...65..6.3....8.  ED=11.6/1.2/1.2
..............1.23..4.5.1.6....756...6.18....7.14.6..8.56..48..41.7.....8.7......  ED=11.6/1.2/1.2
........1.....2.34..2.3..5....26..7...8.73..5.6.5.8....57.8....2..7.65..6.3....8.  ED=11.6/1.2/1.2
..............1.23..4.5.1.6.1.7......56..48..8.7.......4..756..5..18....7.14.6..8  ED=11.6/1.2/1.2
...........1..2.34.3..4.5.6....78....2.1.4.7.8..3......182...4.24..83..73.7......  ED=11.6/1.2/1.2
........1.....2.34..2.3..5....26..7...8.73..5.6.5.8....57......28.7.65..6.3....8.  ED=11.6/1.2/1.2
..............1.23..4.5.1.6....756...5.18.....714.6..8.87......14.7.....5.6..48..  ED=11.6/1.2/1.2
........1.....2.34..2.3..5....26..7...8.73..5.6.5.8....57......28...65.36.3....8.  ED=11.6/1.2/1.2
...........1..2.34.3..4.5.6....78....2.1.4.7.8..32.....18....4.24..83..73.7......  ED=11.6/1.2/1.2
........1.....2.34..2.3..5....26..7...8..3..567.5.8....2.7.65...63....8.5.7.8....  ED=11.6/1.2/1.2
..............1.23..4.5.1.6.1.7......56..48..8.75......4..7.6..5..18....7.14.6..8  ED=11.6/1.2/1.2
........1.....2.34..2.3..5....26..7...8..3..567.5.8....63....8.5.7......82.7.65..  ED=11.6/1.2/1.2
..............1.23..4.5.1.6....7.6...5.18.....714.6..8.875.....14.7.....5.6..48..  ED=11.6/1.2/1.2
........1....23.....4..5.....67.218..1..8.6..2......74.4......816..4.2.77.82...6.  ED=11.6/1.2/1.2
........1..2..3.....1.45.......6..7...78.461..4....8.2.864..7..2.......671..2..48  ED=11.6/1.2/1.2
........1.....2.3.....14.5...6...78..85....1317..3.5.6.37......5.87.1.6.6...8....  ED=11.6/1.2/1.2
........1.....2.3.....14.5...6...78..85.....317..3.5.6.37...1..5.87.1.6.6...8....  ED=11.6/1.2/1.2
........1.....2.3.....14.5...56.1.7...7.8....36....1.8.7....68.6.1.3.5.785......3  ED=11.6/1.2/1.2
........1.....2.3.....14.5...6...78..85....1317..3...6.37......5.87.1.6.6...8...5  ED=11.6/1.2/1.2
........1.....2.3.....14.5...56.1.7...7.8...536......8.7....68.6.1.3...785.....13  ED=11.6/1.2/1.2
........1.....2.3.....14.5...6...78..85.....317..3...6.37...1..5.87.1.6.6...8...5  ED=11.6/1.2/1.2
........1.....2.3.....14.5...1.3.5.6.6....78.85...7.13..6.8.....857.1.6.37.......  ED=11.6/1.2/1.2
........1.....2.3.....14.5...1.3.5.6.6....78.85...7..3..6.8.....857.1.6.37....1..  ED=11.6/1.2/1.2
........1.....2.3.....14.5...1.3.5.6.6....78.85...7..3..57.1.6...6.8....37....1.8  ED=11.6/1.2/1.2
........1.....2.3.....14.5...1.3...6.6....78.85...7.13..6.8...5.857.1.6.37.......  ED=11.6/1.2/1.2
........1.....2.3.....14.5...1.3...6.6....78.85...7.13..57.1.6...6.8...537......8  ED=11.6/1.2/1.2
........1.....2.3.....14.5...1.3...6.6....78.85...7..3..6.8...5.857.1.6.37....1..  ED=11.6/1.2/1.2
........1.....2.3.....14.5...1.3...6.6....78.85...7..3..57.1.6...6.8...537....1.8  ED=11.6/1.2/1.2
........1.......2.....13.4...3.561....6..7..857.18.....65.387..73.......8.1.6...5  ED=11.6/1.2/1.2
........1.......2.....13.4...5..6..7.73.851..86.1......58.376..63.......7.1.5...8  ED=11.6/1.2/1.2
........1.......2.....13.4...3.561....63.7..857.18.....65..87..73.......8.1.6...5  ED=11.6/1.2/1.2
........1.......2.....13.4...53.6..7.73.851..86.1......58..76..63.......7.1.5...8  ED=11.6/1.2/1.2
...........1..2.34..3.5416......1.5..1..6...27.8..........43.21...2..5.6...5.634.  ED=11.6/1.2/1.2
...........1.23.45..214.6.3....513.2...23..6....6.4.5.....6...1.1...54..7.8......  ED=11.6/1.2/1.2
........1.......2.....13.4...3.561....63.7..857..8.....65..87..73...1...8.1.6...5  ED=11.6/1.2/1.2
........1....23..4..5..4.6...4....78.618..5..7.....1.6.574...8.1.8...4..6...5...7  ED=11.6/1.2/1.2
........1....23..4..5..4.6...4....78.618..5..7.....1.6.574.....1.8...4..6...58..7  ED=11.6/1.2/1.2
........1.......2.....13.4...5..671...615...8.8..37....73.85...5.16...8386.......  ED=11.6/1.2/1.2
........1.......2.....13.4...5.36....7.18...5.8.5.761..36..8...5.7......81.7...53  ED=11.6/1.2/1.2
........1.......2.....13.4...5..67....615...818..37....73.85...5.16...8386.......  ED=11.6/1.2/1.2
........1.......2.....13.4...516...7..67.58..17..38....83..6...6.15...7375.......  ED=11.6/1.2/1.2
........1.......2.....13.4...5..67...738.....16..5...8.871.....3.6.851..5..3.7..6  ED=11.6/1.2/1.2
........1.......2.....13.4...5..671..738.....16..5...8.87......3.6.851..5..3.7..6  ED=11.6/1.2/1.2
........1.......2.....13.4...5..67...738.1...16..5...8.87......3.6.851..5..3.7..6  ED=11.6/1.2/1.2
........1.......2.....13.4...3.561....63.7..857.18.....6...87..73.5.....8.1.6...5  ED=11.6/1.2/1.2
........1.......2.....13.4...3.561....63.7..857..8.....6...871.73.5.....8.1.6...5  ED=11.6/1.2/1.2
........1.......2.....13.4...3.561....63.7..857..8.....6...87..73.5.1...8.1.6...5  ED=11.6/1.2/1.2
........1.......2.....13.4...5..6..7.73.851..86.1......5..376..63.8.....7.1.5...8  ED=11.6/1.2/1.2
........1.......2.....13.4...5..6..7.73.851..86........5..3761.63.8.....7.1.5...8  ED=11.6/1.2/1.2
........1.......2.....13.4...5..6..7.73.851..86........5..376..63.8.1...7.1.5...8  ED=11.6/1.2/1.2
........1.......2.....13.4...3.561....6..7..857.18.....6..387..73.5.....8.1.6...5  ED=11.6/1.2/1.2
........1.......2.....13.4...3.561....6..7..857..8.....6..3871.73.5.....8.1.6...5  ED=11.6/1.2/1.2
........1.......2.....13.4...3.561....6..7..857..8.....6..387..73.5.1...8.1.6...5  ED=11.6/1.2/1.2
........1.......2.....13.4...5.6...7..67.58..17..38....83..61..6.15...7375.......  ED=11.6/1.2/1.2
........1.......2.....13.4...5.6...7..67.58..17..38....83..6...6.15...7375...1...  ED=11.6/1.2/1.2
........1.......2.....13.4...5..67....6.5...818..37....73.851..5.16...8386.......  ED=11.6/1.2/1.2
........1.......2.....13.4...5..67....6.5...818..37....73.85...5.16...8386...1...  ED=11.6/1.2/1.2
........1..2..3....1..45..........2..21.6.7.867..289....79..68..8.....7..96...1.2  ED=11.6/1.2/1.2
........1..2..3....1..45.....6....2..21.7.8.678..2.9....89..7...6.....8..976..1.2  ED=11.6/1.2/1.2
........1..2..3....1..45.....6....2..21.7.8..78..269....89..76..6.....8..97...1.2  ED=11.6/1.2/1.2
...........1.23.45.2.41.3.6.......6..7.15.....893..........143....64..522....5..1  ED=11.6/1.2/1.2
...........1..2.34.2..315.6.......6..7..14....89.5........63.42...1..35.2..4.5..1  ED=11.6/1.2/1.2
...........1.23.45.2.41.3.6.......63.7.15.....89...........14.....64..522...35..1  ED=11.6/1.2/1.2
........1.....2.34.25...6......7.....67..8.9.5.2.69..8..97.58...78.26...6..9.....  ED=11.6/1.2/1.2
..............1.23....2.4.5..1..6....7..128...9287.1....7.......86..7.9.12..98.6.  ED=11.6/1.2/1.2
..............1.23....2.4.5..1..6....7..128...9287...6..7.......86..7.9.12..98.6.  ED=11.6/1.2/1.2
..............1.23....2.4.5..6.......78..6.9.12..97.8..6..127...92.6.1..7.1..8...  ED=11.6/1.2/1.2
..............1.23....2.4.5..6.......78..6.9.12..97.8..6..127...92.6...87.1..8...  ED=11.6/1.2/1.2
...........1..2.34.2..315.6....6..42...1..3..2..4.5..1.7...4....89..6...3......65  ED=11.6/1.2/1.2
........1....23.4..245.16.......6..34..3...2.6..2.415...71......89..5...3.....5..  ED=11.6/1.2/1.2
........1..2..3....1..45..........6...67..89..789..1.2..9....2..21.8.6..86..2.7..  ED=11.6/1.2/1.2
........1..2..3....1..45..........6...67..89..789..1.2..9....2..21.8.6..86...97..  ED=11.6/1.2/1.2
...........1..2.34.3..4561.....26.....7....53.89..........51.42...46.3..1....35..  ED=11.6/1.2/1.2
...........1..2.34.3..4561.....26.....7....5..89.....6....51.42...46.3..1....35..  ED=11.6/1.2/1.2
...........1..2.34.2..315.6.......65.7...4....89.5........63.42...1..3..2..4.5..1  ED=11.6/1.2/1.2
........1..2..3....1..45..........2..21.6.7.867...89....79..6...8.....7..968..1.2  ED=11.6/1.2/1.2
mith
 
Posts: 803
Joined: 14 July 2020

Re: The hardest sudokus (new thread)

Postby mith » Sun Jan 16, 2022 6:43 pm

Code: Select all
........1....23.....45...6...7...85..2......34.8....7..4.7......9..12...8..6..7..  ED=11.7/1.2/1.2


Hidden Text: Show
Code: Select all
........1.....2.3...3...2.4..5.2.....6...78.3.7863..52.3685....52..76...8.7..3...  ED=11.6/1.2/1.2
........1.....2.3...3...2.4..5.2.....6...78.3.7863..52.3685....52..763..8.7......  ED=11.6/1.2/1.2
........1.....2.3...3...2.4..5.2.....6...78.3.7863..5..3685..2.52..76...8.7..3...  ED=11.6/1.2/1.2
........1.....2.3...3...2.4..5.2.....6...78.3.7863..5..3685..2.52..763..8.7......  ED=11.6/1.2/1.2
........1.....2.3...3...2.4..5.26....7...86.3.8.73..52.3765....52..87...6.8..3...  ED=11.6/1.2/1.2
........1.....2.3...3...2.4..5.26....7...86.3.8.73..52.3765....52..873..6.8......  ED=11.6/1.2/1.2
........1.....2.3...3...2.4..5.26....7...86.3.8.73..5..3765..2.52..87...6.8..3...  ED=11.6/1.2/1.2
........1.....2.3...3...2.4..5.26....7...86.3.8.73..5..3765..2.52..873..6.8......  ED=11.6/1.2/1.2
........1.....2.3...3...2.4..5.......6...78.3.7836..52.3658....52.7.6...8.7.23...  ED=11.6/1.2/1.2
........1.....2.3...3...2.4..5.......6...78.3.7836..52.3658....52.7.63..8.7.2....  ED=11.6/1.2/1.2
........1.....2.3...3...2.4..5..6....7...86.3.8.37..52.3756....52.8.7...6.8.23...  ED=11.6/1.2/1.2
........1.....2.3...3...2.4..5..6....7...86.3.8.37..52.3756....52.8.73..6.8.2....  ED=11.6/1.2/1.2
........1.....2.3...3...2.4.35.2....6....78..7.863..52.87......25..763..3.685....  ED=11.6/1.2/1.2
........1.....2.3...3...2.4.35......6....78..7.836..52.87.2....25.7.63..3.658....  ED=11.6/1.2/1.2
........1.....2.3...3...2.4.35.2....6....78..7.863..5..87......25..763..3.685..2.  ED=11.6/1.2/1.2
........1.....2.3...3...2.4.35.26...7....86..8..73..52.68......25..873..3.765....  ED=11.6/1.2/1.2
........1.....2.3...3...2.4.35..6...7....86..8..37..52.68.2....25.8.73..3.756....  ED=11.6/1.2/1.2
........1.....2.3...3...2.4.35.26...7....86..8..73..5..68......25..873..3.765..2.  ED=11.6/1.2/1.2
.......12.....13......3...4..5..6.73.76.5.8.138........5387....76..13...8.16.5...  ED=11.6/1.2/1.2
.......12.....13......3...4..5..6.73..6.5.8.138...7....5387....76..13...8.16.5...  ED=11.6/1.2/1.2
.......12.....13......3...4..5..6.7..7635.8..38.1......5.87.1..76...3...8.16.5.3.  ED=11.6/1.2/1.2
.......12.....13......3...4..5..6.7...635.8..38.1.7....5.87.1..76...3...8.16.5.3.  ED=11.6/1.2/1.2
........1.......2......34.5.24.67...37.2.8...6.834.....376...8.28..74...4.6...7.2  ED=11.6/1.2/1.2
........1.......2......34.5.24.67...37.2.8.4.6.83......376...8.28..74...4.6...7.2  ED=11.6/1.2/1.2
........1.......2......34.5..2.67....372.8.4.86.34.....28.74...64....7.27.36...8.  ED=11.6/1.2/1.2
........1.......2......34.5..2.64....748..6.236.7...8..8734....24..76...6.32.8...  ED=11.6/1.2/1.2
........1.......2......34.5..2.64....748..6.236.7...8..873.....24..76...6.32.8.4.  ED=11.6/1.2/1.2
........1.......2......34.5..2.64....748..6.236.7...8..8734....2...76...6.32.8.4.  ED=11.6/1.2/1.2
........1.......2......34.5..2.67....372.8.4.86.34.2...28.74...64....7..7.36...8.  ED=11.6/1.2/1.2
........1.......2......34.5..2.64....748..6..36.7...8..8734.2..2...76...6.32.8.4.  ED=11.6/1.2/1.2
.......12....123.4..23.45......3.6....61.5.2.25..46..1....6...36..5...4.78.....5.  ED=11.6/1.2/1.2
.......12....123....134.5.......36....625.4.115..64.2......6.3.6..5....478......5  ED=11.6/1.2/1.2
.....1..2.....3.45..3.4......6.7..1..38..4...17.6.84...6.4.....38.1.76..7...3..81  ED=11.6/1.2/1.2
.....1..2.....3.45..3.4......6.7..1..38.14...17.6.84...6.4.....38...76..7...3..81  ED=11.6/1.2/1.2
.....1..2.....3.45..3.4......6.7..1..38..4...17.6.84...6.48....3..1.76..7...3..81  ED=11.6/1.2/1.2
.....1..2.....3.45..3.4......6.7..1..38.14...17.6.84...6.48....3....76..7...3..81  ED=11.6/1.2/1.2
........1.....2.3...4....5....16......7..82...8...7.64.4167....6.8.241..72.8.1..6  ED=11.6/1.2/1.2
........1.....2.3...4....5....16......7..82...8.2.7.64.4167....6.8..41..72.8.1..6  ED=11.6/1.2/1.2
........1.....2.3...4....5....16.....67..82...8...7.64..8.241...4167....72.8.1..6  ED=11.6/1.2/1.2
........1.....2.3...4....5....16.....67..82...8.2.7.64..8..41...4167....72.8.1..6  ED=11.6/1.2/1.2
........1.....2.3...4....5...167.....68.241..27.8.1..6..7..82...4.16....8....7.64  ED=11.6/1.2/1.2
........1.....2.3...4....5...167.....68..41..27.8.1..6..7..82...4.16....8..2.7.64  ED=11.6/1.2/1.2
........1.....2.3...4....5...167......8.241..27.8.1..6.4.16....6.7..82..8....7.64  ED=11.6/1.2/1.2
........1.....2.3...4....5...167......8..41..26..81..7.4.71....7.6..82..8...26.74  ED=11.6/1.2/1.2
...........1..2.34..3.5416......1.5.....6...2.78...61.....43.21...5.634.3..2..5..  ED=11.6/1.2/1.2
........1.....2.3.....14.....5...67..78....1316..3.8.5.36.....75...73..88..6.1.5.  ED=11.6/1.2/1.2
.......12.....13......3...4..5..6.7...6.5.8.138...7....5.87....76..13...8.16.5.3.  ED=11.6/1.2/1.2
........1.....2.3.....14.....5...67..78....1316..3.8.5.36......5...73..88.76.1.5.  ED=11.6/1.2/1.2
.......12.....13......3...4..5..6.7..76.5.8.138........5.87....76..13...8.16.5.3.  ED=11.6/1.2/1.2
........1.....2.3...4.15....16.3.7.4.3....68.7.8....1..4..8...76.3......87.6.134.  ED=11.6/1.2/1.2
........1.....2.3...4.15....16.3.7.4.3....68.7.8....1..4..8...7.7.6.134.6.3.....8  ED=11.6/1.2/1.2
........1.....2.3...4.15....16.3.7.4.3....68.7.8.......4..8...76.3...1..87.6.134.  ED=11.6/1.2/1.2
........1.....2.3...4.15....16.3.7.4.3....68.7.8.......4..8...7.7.6.134.6.3...1.8  ED=11.6/1.2/1.2
........1.....2.3...4..5....16.3.7.4.3.1..68.7.8....1..4..8...76.3......87.6.134.  ED=11.6/1.2/1.2
........1.....2.3...4..5....16.3.7.4.3.1..68.7.8....1..4..8...7.7.6.134.6.3.....8  ED=11.6/1.2/1.2
........1.....2.3...4..5....16.3.7.4.3.1..68.7.8.......4..8...76.3...1..87.6.134.  ED=11.6/1.2/1.2
........1.....2.3...4..5....16.3.7.4.3.1..68.7.8.......4..8...7.7.6.134.6.3...1.8  ED=11.6/1.2/1.2
........1.....2.3.....14.....5...67..78.....316..3.8.5.36...1.75...73..88..6.1.5.  ED=11.6/1.2/1.2
.......12.....13......3...4..5..6.7...6.5.8.138.1.7....5.87....76...3...8.16.5.3.  ED=11.6/1.2/1.2
.......12.....13......3...4..5..6.7...635.8.138.1.7....5387....76.......8.16.5...  ED=11.6/1.2/1.2
........1.....2.3.....14.....5...1.6.7..63..8.8.5.137..37...56.51..3.8.76.8......  ED=11.6/1.2/1.2
.......12.....13......3...4..5..6.7..7635.8.138........5387....76..1....8.16.5...  ED=11.6/1.2/1.2
........1.....2.3.....14.....5.......6..73..8.875.136..36...57.51..3.8.67.8....1.  ED=11.6/1.2/1.2
.......12.....13......3...4..5..6.7..7635.8.138.1......5387....76.......8.16.5...  ED=11.6/1.2/1.2
........1.....2.3.....14.....5...1...6..73..8.875.136..36...57.51..3.8.67.8......  ED=11.6/1.2/1.2
........1.....2.3...3...2.4..567.....68..3...27..85....37.2....5....86.38.65...72  ED=11.6/1.2/1.2
........1.....2.3...3...2.4..567.....682.3...27..85....37......5....86.38.65...72  ED=11.6/1.2/1.2
........1.....2.3...3...2.4..567..2..68..3...27..85....37.2....5....86.38.65...7.  ED=11.6/1.2/1.2
........1.....2.3...3...2.4..567.....68..3...27..85....37.26...5....86.38..5...72  ED=11.6/1.2/1.2
........1.....2.3...3...2.4..567.....682.3...27..85....37..6...5....86.38..5...72  ED=11.6/1.2/1.2
........1.....2.3...3...2.4..567..2..68..3...27..85....37.26...5....86.38..5...7.  ED=11.6/1.2/1.2
........1.....2.3...3...2.4..567.....68..3...27..85....37.2....5....86..8.653..72  ED=11.6/1.2/1.2
........1.....2.3...3...2.4..567.....682.3...27..85....37......5....86..8.653..72  ED=11.6/1.2/1.2
........1.....2.3...3...2.4..567..2..68..3...27..85....37.2....5....86..8.653..7.  ED=11.6/1.2/1.2
........1.....2.3...3...2.4..567.....68..3...27..853...37.2....5....86..8.65...72  ED=11.6/1.2/1.2
........1.....2.3...3...2.4..567.....682.3...27..853...37......5....86..8.65...72  ED=11.6/1.2/1.2
........1.....2.3...3...2.4..567.....68..3...27..85....37.26...5....86..8..53..72  ED=11.6/1.2/1.2
........1.....2.3...3...2.4..567.....682.3...27..85....37..6...5....86..8..53..72  ED=11.6/1.2/1.2
........1.....2.3...3...2.4..567..2..68..3...27..85....37.26...5....86..8..53..7.  ED=11.6/1.2/1.2
........1.....2.3...3...2.4..567.....68..3...27..853...37.26...5....86..8..5...72  ED=11.6/1.2/1.2
........1.....2.3...3...2.4..567.....682.3...27..853...37..6...5....86..8..5...72  ED=11.6/1.2/1.2
.......12.....13......3...4..5..6.73.7635.8.1.8.1......5387....76.......8.16.5...  ED=11.6/1.2/1.2
........1..2.34.5.35.16..24....76.....63......3..8.....6....4.214.....352.5...16.  ED=11.6/1.2/1.2
.......12.....13......3...4..5..6.73.7635.8...8.1......5387.1..76.......8.16.5...  ED=11.6/1.2/1.2
.......12.....13......3...4..5..6.73.76.5.8.1.8.1......5387....76...3...8.16.5...  ED=11.6/1.2/1.2
.......12.....13......3...4..5..6.73.76.5.8...8.1......5387.1..76...3...8.16.5...  ED=11.6/1.2/1.2
.......12.....13......3...4..5..6.73..635.8.1.8.1.7....5387....76.......8.16.5...  ED=11.6/1.2/1.2
.......12.....13......3...4..5..6....7...8.63.8.37.5.1.3756....51.8.7...6.8.1....  ED=11.6/1.2/1.2
.......12.....13......3...4..5..6.73..635.8...8.1.7....5387.1..76.......8.16.5...  ED=11.6/1.2/1.2
.......12.....13......3...4..5..6.73..6.5.8.1.8.1.7....5387....76...3...8.16.5...  ED=11.6/1.2/1.2
.......12.....13......3...4..5..6.73..6.5.8...8.1.7....5387.1..76...3...8.16.5...  ED=11.6/1.2/1.2
.......12.....13......3...4..5..6.7..7635.8..38.1......5387.1..76.......8.16.5...  ED=11.6/1.2/1.2
.......12.....13......3...4..5..6.7..76.5.8.138.1......5.87....76...3...8.16.5.3.  ED=11.6/1.2/1.2
.......12.....13......3...4..5..6.7...635.8.138...7....5387....76..1....8.16.5...  ED=11.6/1.2/1.2
.......12.....13......3...4..5..6.7...635.8..38.1.7....5387.1..76.......8.16.5...  ED=11.6/1.2/1.2
........1.....2.3.....14.....5...1...6..73..8.875..36..361..57.51..3.8.67.8......  ED=11.6/1.2/1.2
........1.....2.3.....14.....5...67..78.....316..3.8.5.36...1..5...73..88.76.1.5.  ED=11.6/1.2/1.2
........1.....2.3.....14.....5...1...6..73..8.875.1.6..36...57.51..3.8.67.8.....3  ED=11.6/1.2/1.2
........1.....2.3.....14.....5.63..7.678...5.38....1...5.1..86.67......38.1.3.7.5  ED=11.6/1.2/1.2
........1.....2.3.....14.....5...1...6..73..8.875...6..361..57.51..3.8.67.8.....3  ED=11.6/1.2/1.2
........1.....2.3.....14.....5.....6.7..63..8.8.5.137..37...56.51..3.8.76.8....1.  ED=11.6/1.2/1.2
........1.....2.3.....14.....5...1.6.7..63..8.8.5..37..371..56.51..3.8.76.8......  ED=11.6/1.2/1.2
........1.....2.3.....14.....5...1.6.7..63..8.8.5.1.7..37...56.51..3.8.76.8.....3  ED=11.6/1.2/1.2
........1.....2.3.....14.....5.63..7..78...5.38....1.6.5.1..86.67......38.1.3.7.5  ED=11.6/1.2/1.2
........1.....2.3.....14.....5...1.6.7..63..8.8.5...7..371..56.51..3.8.76.8.....3  ED=11.6/1.2/1.2
........1.......2......34.5..4.67....6834.2..73.2.8....46...7..3.76...8.82..74...  ED=11.6/1.2/1.2
........1.......2......34.5..4.67....683..2..73.2.8.4..46...7..3.76...8.82..74...  ED=11.6/1.2/1.2
........1.......2......34.5..2.64....748..6..36.7...8..4..76....8734.2..6.32.8...  ED=11.6/1.2/1.2
........1.......2......34.5..2.64....748..6..36.7...8..4..76....873..2..6.32.8.4.  ED=11.6/1.2/1.2
..............1.23....2.4.5..6..7.8..12.86.9.7...9.....97.126..16...9...2.8.7.1..  ED=11.6/1.2/1.2
..............1.23....2.4.5..6.127...28.6.1.971...9....6..9.....97..6.8.1.2.87...  ED=11.6/1.2/1.2
..............1.23....2.4.5..6.7.....87..6.9.12..98....92.6.1.776..128..8.1......  ED=11.6/1.2/1.2
..............1.23....2.4.5..1..6....7289.1..69..128....9.6.....8...9.7.12..78.6.  ED=11.6/1.2/1.2
..............1.23....2.4.5..1..6....7..128...9287.1.6..7.6.....86..7.9.12..98...  ED=11.6/1.2/1.2
..............1.23....2.4.5..1.......6278.1.998..127....8.9.....79..8.6.12..67...  ED=11.6/1.2/1.2
........1..2..3....14.56.....7....2..21.8.9.789..2......94..8...487..1.2.7.....94  ED=11.6/1.2/1.2
...........1.23.45.2451.36.......4....7.62....89..5.......3.61....2..5.31..6...24  ED=11.6/1.2/1.2
...........1.23.45.24.1.36.......4....7.62....89..5.......3.61....2..5.31..65..24  ED=11.6/1.2/1.2
........1..2..3....14.56..........2..21.7.8.978..29.....84..79..47...1.2.9.....84  ED=11.6/1.2/1.2
........1..2..3....14.56.....7....2..21.8.9..89..27.....94..87..48...1.2.7.....94  ED=11.6/1.2/1.2
...........1..2.34.32.4561.....26.....7....53.89..........51.4....46.3..1..2.356.  ED=11.6/1.2/1.2
...........1.23.45.2451.36.......45...7.62....89..........3.61....2....31..65..24  ED=11.6/1.2/1.2
...........1..2.34.32.4561.....26.....7....53.89.....6....51.4....46.3..1..2.35..  ED=11.6/1.2/1.2
........1..2..3....14.56..........74..74..89..489..1.2..9....2..21.8.7.987..2....  ED=11.6/1.2/1.2
........1..2..3....14.56..........74..74..89..489..1.2..9....2..21.8.7..87..29...  ED=11.6/1.2/1.2
...........1.23.45.24.1.36.......45...7.62....89..5.......3.61....2....31..65..24  ED=11.6/1.2/1.2
........1..2..3....14.56..........2..21.7.8.978..29.....84..7...479..1.2.9.....84  ED=11.6/1.2/1.2
...........1.23.45..241.36.....415.....26..14.1.3.56......5..2....6....37.8..2...  ED=11.6/1.2/1.2
...........1..2.34..3.5461......1.5.....6...2.78...1......43.21...5.634.3..2..5.6  ED=11.6/1.2/1.2
...........1..2.34..3.5461......1.5.....6...2.78...16.....43.21...5.634.3..2..5..  ED=11.6/1.2/1.2
........1..2..3.....4..5.2..1..6...4.781..2..4.6....17.2.8.1.46.4..7...26.....78.  ED=11.6/1.2/1.2
.......12.....3..4..5.1......6.31.....758..3..8.7.61...731.....56...87..8...5..63  ED=11.6/1.2/1.2
.......12.....13.4..234.5.......6..3.6.5...4.78.....5....2.36....615....52..64..1  ED=11.6/1.2/1.2
.......12.....3..4..5.1......6.31.....758..3..8.7.61...7316....5....87..8...5..63  ED=11.6/1.2/1.2
.......12.....13....234.5.......6..3.6.5...4.78.....5....2.36....615.4..52..64..1  ED=11.6/1.2/1.2
.......12.....3..4..5.1......6..1.....758..3.38.7.61...7.1.....56.3.87..8...5..63  ED=11.6/1.2/1.2
.....1..2.....3.45..3.4......6..4.....738..1.18.7.64...7.4.....36.1.87..8......61  ED=11.6/1.2/1.2
.......12.....3..4..5.1......6.31.....758..3.38.7.61...7.1.....56...87..8...5..63  ED=11.6/1.2/1.2
.....1..2.....3.45..3.4......6.14.....738..1.18.7.64...7.4.....36...87..8......61  ED=11.6/1.2/1.2
.......12.....3..4..5.1......6..1.....758..3.38.7.61...7.16....5..3.87..8...5..63  ED=11.6/1.2/1.2
.....1..2.....3.45..3.4......6..4.....738..1.18.7.64...7.46....3..1.87..8......61  ED=11.6/1.2/1.2
.......12.....3..4..5.1......6.31.....758..3.38.7.61...7.16....5....87..8...5..63  ED=11.6/1.2/1.2
.....1..2.....3.45..3.4......6.14.....738..1.18.7.64...7.46....3....87..8......61  ED=11.6/1.2/1.2
........1.....2.3...4.15.........67..16.3.8.48.7....13.4..7...8.8.6.1.4.6.3.....7  ED=11.6/1.2/1.2
........1.....2.3.....145....56.1.7...7.8....36......8.7....86.6.1.3..5785....1.3  ED=11.6/1.2/1.2
........1.....2.3...4.15.........67..16.3.8.48.7.....3.4..7...86.3...1..78.6.1.4.  ED=11.6/1.2/1.2
........1.....2.3...4.15.........67..16.3.8.48.7.....3.4..7...8.8.6.1.4.6.3...1.7  ED=11.6/1.2/1.2
........1.....2.3...4.15.........67..16.3.8.48.7....13.4..7...86.3......78.6.1.4.  ED=11.6/1.2/1.2
........1.....2.3...4..5.......1.67..163..8.48.7....13.4.7....86.3......78..61.4.  ED=11.6/1.2/1.2
........1.....2.3...4..5.......1.67..163..8.48.7....13.4.7....8.8..61.4.6.3.....7  ED=11.6/1.2/1.2
........1.....2.3...4..5.......1.67..163..8.48.7.....3.4.7....86.3...1..78..61.4.  ED=11.6/1.2/1.2
........1.....2.3...4..5.......1.67..163..8.48.7.....3.4.7....8.8..61.4.6.3...1.7  ED=11.6/1.2/1.2
........1.....2.3.....145....6.7...5.758.1.6.38.....1..63...78.75.......8.1.3...6  ED=11.6/1.2/1.2
........1.....2.3.....145....6...78..75.....318..3...6.38....1.5.78.1.6.6...7...5  ED=11.6/1.2/1.2
........1.....2.3.....145....6.7...5.758.1.6.38........63...78.75....1..8.1.3...6  ED=11.6/1.2/1.2
........1.....2.3.....145....6...78..75...1.318..3...6.38......5.78.1.6.6...7...5  ED=11.6/1.2/1.2
........1.....2.3.....145....6.7.....758.1.6.38.....1..63...78.75.......8.1.3..56  ED=11.6/1.2/1.2
........1.....2.3.....145....6...78..75.....318..3..56.38....1.5.78.1.6.6...7....  ED=11.6/1.2/1.2
........1.....2.3.....145....6.7.....758.1.6.38........63...78.75....1..8.1.3..56  ED=11.6/1.2/1.2
........1.....2.3.....145....6...78..75...1.318..3..56.38......5.78.1.6.6...7....  ED=11.6/1.2/1.2
........1.....2.3.....145....56.1.7...7.8...536.....18.73...86.6.1.3...785.......  ED=11.6/1.2/1.2
........1.....2.3.....145....56.1.7...7.8...536.....18.7....86.6.1.3...785......3  ED=11.6/1.2/1.2
........1.....2.3.....145....56.1.7...7.8...536......8.73...86.6.1.3...785....1..  ED=11.6/1.2/1.2
........1.....2.3.....145....56.1.7...7.8...536......8.7....86.6.1.3...785....1.3  ED=11.6/1.2/1.2
........1.....2.3.....145....56.1.7...7.8....36.....18.73...86.6.1.3..5785.......  ED=11.6/1.2/1.2
........1.....2.3.....145....56.1.7...7.8....36.....18.7....86.6.1.3..5785......3  ED=11.6/1.2/1.2
........1.....2.3.....145....56.1.7...7.8....36......8.73...86.6.1.3..5785....1..  ED=11.6/1.2/1.2
..............1.23....2.4.5..6..7.8..12.86.9.7...9.....97.126..16.......2.8.7...9  ED=11.6/1.2/1.2
..............1.23....2.4.5..1.......6278...998..127....8.9.....7...8.6.12..67.9.  ED=11.6/1.2/1.2
........1..2..3.....4..5.2..1..6...4.781..2..4.6.....7.2.8.1.46.4..7.1.26......8.  ED=11.6/1.2/1.2
........1..2..3.....4..5.2..1..6...4.781..2..4.6.....7.2.8...46.4..7.1.26.1....8.  ED=11.6/1.2/1.2
........1..2..3.....4..5.2.....6...4.46....177.81..2...61....8.2..8.1.464...7...2  ED=11.6/1.2/1.2
........1..2..3.....4..5.2.....6...4.46....177.81..2...61....8.2..8...464...7.1.2  ED=11.6/1.2/1.2
........1....23.....45...6...7...85..48....7.9.......2.8.6..7..3...19...4..7.....  ED=11.6/1.2/1.2
........1....23.....45...6...7...85..48....7.9.......2.8.6..7..3...91...4..7.....  ED=11.6/1.2/1.2
mith
 
Posts: 803
Joined: 14 July 2020

Re: The hardest sudokus (new thread)

Postby mith » Tue Jan 18, 2022 7:12 pm

No new 11.7+, but I'm updating the database and tweaking my scripts so going to go ahead and post the new 11.6s:

Hidden Text: Show
Code: Select all
..............1.23....245.6..1........278.1.989..127...48.9....21..47...7.9..8.4.  ED=11.6/1.2/1.2
..............1.23....245.6..1..7.....289.1..79..128...8...9.4.12..48.7.4.9.7....  ED=11.6/1.2/1.2
..............1.23....245.6..1..7.....289.1.7.9..128...87..9.4.12..48...4.9.7....  ED=11.6/1.2/1.2
..............1.23....245.6..2.7.1.8.91......78..129...47.8....21..49...9.8..7.4.  ED=11.6/1.2/1.2
..............1.23....245.6..2.7.1...81..9...79..128...47.9....21..48.9.8....7.4.  ED=11.6/1.2/1.2
..............1.23....245.6..2.7.1.8.7..129..9.1..8....98..7.4.12..49...4.7.8....  ED=11.6/1.2/1.2
..............1.23....245.6..2.7.1.8.7..129..9.1..8....98..7.4.12..49.8.4.7......  ED=11.6/1.2/1.2
..............1.23....245.6..2.7.1...81..9...79..128...47......21..48.9.8.9..7.4.  ED=11.6/1.2/1.2
..............1.23....245.6..2.7.1.8.91......78..129...47.8....21..49.8.9....7.4.  ED=11.6/1.2/1.2
..............1.23....245.6..1..7.....289.1.7.9..128...87..9.4.12..48.7.4.9......  ED=11.6/1.2/1.2
..............1.23....245.6..1..7.....289.1..79..128...87..9.4.12..48.7.4.9......  ED=11.6/1.2/1.2
..............1.23....245.6..1........278.1.989..127...48.9....21..47.9.7....8.4.  ED=11.6/1.2/1.2
........1..2..3.....4..5.2..1..67..4.781..2..4.6.......2.8...46.4..7.1.26.1...78.  ED=11.6/1.2/1.2
........1.....2.3...3..4.5..1..65..7.581..3..7.6.....5.3.8...76.7..5.1.36.1....8.  ED=11.6/1.2/1.2
........1..2..3.....4..5.2.....67..4.46....1.7.81..2...61...78.2..8.1.464...7...2  ED=11.6/1.2/1.2
........1..2..3.....4..5.2.....67..4.46....1.7.81..2...61...78.2..8...464...7.1.2  ED=11.6/1.2/1.2
........1.....2.3...3..4.5..1..65..7.581..3..7.6....1..3.8.1.76.7..5...36.....58.  ED=11.6/1.2/1.2
........1.....2.3...3..4.5..1..65..7.581..3..7.6.......3.8.1.76.7..5.1.36.....58.  ED=11.6/1.2/1.2
........1.....2.3...3..4.5..1..65..7.581..3..7.6.......3.8...76.7..5.1.36.1...58.  ED=11.6/1.2/1.2
........1.....2.3...3..4.5.....65..7.581..3..7.6....15.3.8.1.76.7..5...36.1....8.  ED=11.6/1.2/1.2
........1.....2.3...3..4.5.....65..7.581..3..7.6....15.3.8...76.7..5.1.36.1....8.  ED=11.6/1.2/1.2
........1.....2.3...3..4.5.....65..7.581..3..7.6....1..3.8.1.76.7..5...36.1...58.  ED=11.6/1.2/1.2
........1.....2.3...3..4.5.....65..7.581..3..7.6....1..3.8...76.7..5.1.36.1...58.  ED=11.6/1.2/1.2
........1..2..3.....4..5.2..1..67..4.781..2..4.6.......2.8.1.46.4..7.1.26.....78.  ED=11.6/1.2/1.2
........1.....2.3...3..4.5..1..65..7.581..3..7.6.....5.3.8.1.76.7..5.1.36......8.  ED=11.6/1.2/1.2
........1..2..3.....4..5.2..1..67..4.781..2..4.6....1..2.8.1.46.4..7...26.....78.  ED=11.6/1.2/1.2
mith
 
Posts: 803
Joined: 14 July 2020

Re: The hardest sudokus (new thread)

Postby mith » Tue Jan 18, 2022 7:20 pm

mith wrote:After adding those, here's an update on count by SER and clues:

Code: Select all
       11.6 11.7 11.8 11.9
20c       1    0    1    0
21c      51   36   17    1
22c      91   76   36    5
23c     101   18   16    3
24c     154   20    1    0
25c      91   15    0    0
26c     152   22    1    0
27c     266   94    1    0
28c     394   54    0    0
29c     179   14    2    0
30c      52    0    2    0
31c       4    0    0    0
               
total  1536  349   77    9
ph2010  393  138   61    9


We were just below 2k 11.6+ puzzles when I posted this... and now we're above 3k. Fixing that expander bug was awfully productive.
mith
 
Posts: 803
Joined: 14 July 2020

Re: The hardest sudokus (new thread)

Postby champagne » Tue Jan 18, 2022 8:11 pm

mith wrote:
mith wrote:After adding those, here's an update on count by SER and clues:

Code: Select all
       11.6 11.7 11.8 11.9
20c       1    0    1    0
21c      51   36   17    1
22c      91   76   36    5
23c     101   18   16    3
24c     154   20    1    0
25c      91   15    0    0
26c     152   22    1    0
27c     266   94    1    0
28c     394   54    0    0
29c     179   14    2    0
30c      52    0    2    0
31c       4    0    0    0
               
total  1536  349   77    9
ph2010  393  138   61    9


We were just below 2k 11.6+ puzzles when I posted this... and now we're above 3k. Fixing that expander bug was awfully productive.


congratulations mith,

I did not check in details, but it seems that most of then new entries are in the "unexplored area" or "nearly unexplored area" when I posted the summary of my data base.

I am sure that this is not 100% true but I have to dig in the past to see what new came in the deeply explored areas.

Regarding the "potential hardest " (assuming that we can one day have a definition of if) my feeling is that increasing the number of given over 23/24 decreases the chances to get it. (to tell it in another way, but I did not explore the new highs, I would bet that the chances to find an exotic pattern are increasing with the number of clues for the same ER)
champagne
2017 Supporter
 
Posts: 7257
Joined: 02 August 2007
Location: France Brittany

Re: The hardest sudokus (new thread)

Postby mith » Wed Jan 19, 2022 1:54 am

Yes, the vast majority of the new ones are in the 26c+ range. I think we're really just scratching the surface on these.

The tweak I made to my scripts today was to basically remove pre-skfr filtering immediately (other than backdoor size 0 - singles only) and re-run everything 11.6+. It's quite a bit slower to generate now, but it has already paid off with a new batch of 11.7s:

Code: Select all
........1....23.4...54.162.....4653....2...1..6....2.46.......375..3....89..5....  ED=11.7/1.2/1.2
........1....23.4...54.162.....4653....2...1..6....2.46......537...3....89..5....  ED=11.7/1.2/1.2
........1..2.34.5...65.123........64.7..4....89..6........5264....3...1.2.....3.5  ED=11.7/1.2/1.2
........1....23.4...54.162.....4653....2...1..6.3..2.46.......375.......89..5....  ED=11.7/1.2/1.2
........1..1.23.....2.45...........6.178...9.96.2..87.....8.7.9.89...21.7......6.  ED=11.7/1.2/1.2
........1...234.....2.15.....67...8..19....728.....6.9.2....7.8.6...19..9.7.....6  ED=11.7/1.2/1.2
........1....23.....2.45..........16.178..9..96.2..78..89....2.1...8..797.....6..  ED=11.7/1.2/1.2
........1....23.....2.45...........6.178...9.96.2..87..89...21.1...8.7.97......6.  ED=11.7/1.2/1.2
........1.....2.34.25.....6..7.......8..59...69.87.2...7.9.....25..68...9.85...6.  ED=11.7/1.2/1.2
........1.....2.34.25........6.......7..589..98.76.2...6.8.....25..97...8.75...9.  ED=11.7/1.2/1.2
........1.....2.34.25.....6.7..58...5.9......68.79.2...9.8.....2...67...8.75...6.  ED=11.7/1.2/1.2
........1.....2.34.25.......6..578..5.9......87.69.2...9.7.....2...86...7.65...8.  ED=11.7/1.2/1.2


These are very low q2 (in the 2000 range, for the ones I actually looked at), way below the previous filter. I'm expecting in the short term there will be a lot more of these 11.6+ which would have been missed previously. Once the scripts catch up, I may re-enable a filter for puzzles which aren't as highly rated (though I have no idea how long it will be before that happens - they should be running on 11.6+ puzzles for a good while, I think).
mith
 
Posts: 803
Joined: 14 July 2020

Re: The hardest sudokus (new thread)

Postby mith » Wed Jan 19, 2022 4:35 am

(Expecting a lot more when I check tomorrow; expander got to that first one, which has 9 singles, and now it's in the process of rating 50+ more 11.7s.)
mith
 
Posts: 803
Joined: 14 July 2020

Re: The hardest sudokus (new thread)

Postby mith » Wed Jan 19, 2022 2:06 pm

Yup, 150 11.7s now. I'll leave it running today and then post an update.
mith
 
Posts: 803
Joined: 14 July 2020

Re: The hardest sudokus (new thread)

Postby hendrik_monard » Wed Jan 19, 2022 6:17 pm

mith wrote:Yup, 150 11.7s now. I'll leave it running today and then post an update.

Hi mith
Looking forward to your announced results, I also submit a new list (see hidden text) of 11.7s and 11.6s resulting from the first and second generations of derivatives of the sudokus in the list posted by me on January 6th.
May I also suggest that in the upcoming database you use an abbreviation of my full name such as "monh" instead of my username.
Hidden Text: Show
Code: Select all
98.76.5..7....98...46......6..9......794...8..5..87...5.4...........5.32.....4..1  11.7/1.2/1.2
987......65.7...........6..46..3..2....4.23......7.1....42....1...36.7.4.....123.  11.7/1.2/1.2
98.76.5..7...498....6......6..9.....45..87....794...8.5.4...........5.32........1  11.7/1.2/1.2
987......65.7...........6...6..4..3....2.34......7.12...23....1...46.7......2134.  11.7/1.2/1.2
987......6...........85.....5.43.21.....82.54.....1..3..13.8.4....2..58.....4.3.1  11.7/1.2/1.2
98.76.5..7.4.......6.4.89..6.8.4..9.54.9.6....7..8......7...........5.32.......51  11.7/1.2/1.2
987......65..........76.....6.4..3.....21.7......3..42..1..2.74...34.21.....716.3  11.7/1.2/1.2
98.76.5..7...498....6......6..9.....45..87....79....8...4...........5.32.....4.51  11.7/1.2/1.2
98.76.5..7....98...46......6..9......974...8..5..87.....4...........5.32.....4.51  11.7/1.2/1.2
987......65.7..............4..37.21....2.4..3....16.47..6.2.1.4...4.3.62...1..37.  11.7/1.2/1.2
98.76.5..7.5.94.....65.8...6.9.75...4..8.9....786...5...4.........9..4.3......2.1  11.7/1.2/1.2
98.76....7.5.......46..9...6.9.5.....7.9.4....5.68.7..4.8.........8...43.......21  11.7/1.2/1.2
9876.....65.............7....6.4321...41....3...2.6.74...31..26....6734......21..  11.7/1.2/1.2
987......65.7...........6..46..3..2.....7.14......23....42....1...36.7......4123.  11.7/1.2/1.2
9876.....5..8.....4.....6...6..3214....1..3.........82..4.8..31...3.4.6.....1.2..  11.7/1.2/1.2
987......65.7...........6..46..3..72....7.1.4.....23....42.7.1....36........412.3  11.7/1.2/1.2
987......65..........76....46.3.72.....41.7......2..3...4..1.73...23.41.......6.2  11.7/1.2/1.2
987......65..........76....46.3..2.....41.7......2..3...4..1.73...23.41.....7.6.2  11.7/1.2/1.2
987......65.7...........6..46..3..72...4.23......7.1....42.7.1....36..4......12.3  11.7/1.2/1.2
987......65..........76....46.3.72......2..43....1.7....4..1.37...23...1.....462.  11.7/1.2/1.2
98.76.5..7.4...8....5....9.8.6.........63...8...21....5.9...74..4...7.89......6.5  11.7/1.2/1.2
987......65.7...........6...6..4..73...2.34......7.1.2..23.7.1....46........213.4  11.7/1.2/1.2
987......65..........76.....6.4.73.....21.7......3..42..2..1.74...34.21.......6.3  11.7/1.2/1.2
987......65.7...........6...6..4..73...2.34......7.1.2..23.7.1....46..2......13.4  11.7/1.2/1.2
987......65..........76.....6.4.73.....21.7......3..42..2..1.74...34..1......26.3  11.7/1.2/1.2
98.7..6..7.5...9...4.....876...........43.......21..4.56.....7...9..48.5..8..7.96  11.7/1.2/1.2
9876.....5..8.....4.....6...6..321.....4...83...1..2....4..8.21...24..6......13.4  11.7/1.2/1.2
9876.....5..8.....4.....6...6..321...4.1..3.....4...82...3.4.6.....8..31....1.2.4  11.7/1.2/1.2
9876.....5..8.....4.....6...6..3214..4.1..3.........82...3.4.6.....8..31....1.2.4  11.7/1.2/1.2
9876.....65.7......4.......4...7.32....3.46.7....2..41..6.31..2...4..71....2....3  11.7/1.2/1.2
9876.....65.7......4.......4.....32....34.6.7.....2.41..6.13..2...4..71....27...3  11.7/1.2/1.2
9876.....65.7......4.........6.321....41..3.....4...72...3.476.....7..31....1.2.4  11.7/1.2/1.2
9876.....65.7......4.........6.321....417.2.....4...73...24.76......13.4.......21  11.7/1.2/1.2
9876.....65.7......4.......4...7.32....3.46......2..41..6.31..2...46.71....2....3  11.7/1.2/1.2
9876.....65.7......4.......4...7.32....3.46......2..41..6.31..2...4..71....2...63  11.7/1.2/1.2
9876.....65.7......4.........6.321....41..3.....46..72...3.4.6.....7..31....1.2.4  11.7/1.2/1.2
9876.....65.7......4.........6.321....41..36....4...27...3.4..6....7..13....1.24.  11.7/1.2/1.2
9876.....5..8...........6...6..432...1.2..4.....1...83..1.8..42...4.1.6.....2.3.1  11.7/1.2/1.2
9876.....65.7..............4...7.32....3.46.7....2..41..6.31..2..42....3...4..71.  11.7/1.2/1.2
9876.....65.7..............4.....32....34.6.7.....2.41..6.13..2..427...3...4..71.  11.7/1.2/1.2
9876.....65.7..............4...7.32....3.46......2..41..6.31..2..42....3...46.71.  11.7/1.2/1.2
9876.....65.7..............4...7.32....3.46......2..41..6.31..2..42...63...4..71.  11.7/1.2/1.2
9876.....65.............7..46..3.2.....4.2.3.....7.1.....36..71...2..6.4....4132.  11.7/1.2/1.2
987......65..........76....46.3..2.....1..76.....26.34...23.41.....716.2.....4..3  11.7/1.2/1.2
987......65..........76....46.3..2.....1..76.....2..34...6.4..3...23.41.....716.2  11.7/1.2/1.2
987......65..........76....46.3..2.....14.76.....2..3....6.4..3...23.41.....716.2  11.7/1.2/1.2
9876.....5..8.....4.....6...6..3214....1..3.........82..4.8..13...3.4.6.....1.2..  11.7/1.2/1.2
9876.....65.7......4.......4...7.32....3.4.67....2...1..6.31.42...2....3......17.  11.7/1.2/1.2
9876.....65.7......4.......4.....32....34..67.....2..1..6.13.42...27...3......17.  11.7/1.2/1.2
9876.....65.7......4.......4...7.32....3.4.6.....2...1..6.31.42...2....3....6.17.  11.7/1.2/1.2
9876.....65.7......4.......4...7.32....3.4.6.....2...1..6.31.42...2..6.3......17.  11.7/1.2/1.2
9876.....5..8...........6...6..4321..1.2..4.........83..1.8..24...4.1.6.....2.3..  11.7/1.2/1.2
9876.....65.7..............4...7.32....3.4.67....2...1..6.31.42..42....3......17.  11.7/1.2/1.2
9876.....65.7..............4.....32....34..67.....2..1..6.13.42..427...3......17.  11.7/1.2/1.2
9876.....65.7..............4...7.32....3.4.6.....2...1..6.31.42..42....3....6.17.  11.7/1.2/1.2
9876.....65.7..............4...7.32....3.4.6.....2...1..6.31.42..42..6.3......17.  11.7/1.2/1.2
987......65.7...........6..46..3..72....7.1.4.....23....43.7.1....26........412.3  11.7/1.2/1.2
987......65..........76....46.3.72.....41.7......2..3...4..1.72...23.41.......6.3  11.7/1.2/1.2
987......65..........76....46.3..2.....41.7......2..3...4..1.72...23.41.....7.6.3  11.7/1.2/1.2
987......65.7...........6..46..3..72...4.23......7.1....43.7.1....26..4......12.3  11.7/1.2/1.2
987......65..........76....46.3.72......2..43....1.7....4..1.27...23...1.....463.  11.7/1.2/1.2
987......65..........76....46.3..2......2..43....1.7....4..1.27...23...1....7463.  11.7/1.2/1.2
98.76.5..7.4...8....5....9.8.6.........63...8...21....5.9...74..4...7.85......6.9  11.7/1.2/1.2
98.76.5....5....97..4...8..8.6.........63...8...21....5.9....4..7....6.9.4...7.85  11.7/1.2/1.2
987......65.7...........6...6..4..73...2.34......7.1.2..24.7.1....36........213.4  11.7/1.2/1.2
987......65..........76.....6.4.73.....21.7......3..42..2..1.73...34.21.......6.4  11.7/1.2/1.2
987......65..........76.....6.4..3.....21.7......3..42..2..1.73...34.21.....7.6.4  11.7/1.2/1.2
987......65.7...........6...6..4..73...2.34......7.1.2..24.7.1....36..2......13.4  11.7/1.2/1.2
987......65..........76.....6.4.73.....21.7......3..42..2..1.73...34..1......26.4  11.7/1.2/1.2
98.76....5.7..98...46......6.8.7.....7.6.5.4..5.89......5....34...54...........21  11.7/1.2/1.2
9876.....5..8.....4.....6...6..321.....4...83...1..2....4..8.12...24..6......13.4  11.7/1.2/1.2
9876.....5..8.....4.....6...6..321...4.1..3.....4...82...3.4.6.....8..13....1.2.4  11.7/1.2/1.2
9876.....5..8.....4.....6...6..3214..4.1..3.........82...3.4.6.....8..13....1.2.4  11.7/1.2/1.2
9876.....65.7......4.......4...7.32....3.4.67....2.4.1..6.31..2...4..17....2....3  11.7/1.2/1.2
9876.....65.7......4.......4.....32....34..67.....24.1..6.13..2...4..17....27...3  11.7/1.2/1.2
9876.....65.7......4.........6.321....41..3.....4...72...3.476.....7..13....1.2.4  11.7/1.2/1.2
9876.....65.7......4.........6.3241...41...3.......7.2...3.467.....7.1.3....1..24  11.7/1.2/1.2
9876.....65.7......4.........6.321....417.2.....4...73...24.76......13.4.......12  11.7/1.2/1.2
9876.....65.7......4.........6.3241...417..2.......7.3...24.67......1.34......1.2  11.7/1.2/1.2
9876.....65.7......4.......4...7.32....3.4.6.....2.4.1..6.31..2...46.17....2....3  11.7/1.2/1.2
9876.....65.7......4.......4...7.32....3.4.6.....2.4.1..6.31..2...4..17....2..6.3  11.7/1.2/1.2
9876.....65.7......4.........6.321....41..3.....46..72...3.4.6.....7..13....1.2.4  11.7/1.2/1.2
9876.....65.7......4.........6.321....41..36....4...27...3.4..6....7..31....1.24.  11.7/1.2/1.2
9876.....65.7......4.........6.3241...41...3.....6.7.2...3.46......7.1.3....1..24  11.7/1.2/1.2
9876.....65.7......4.........6.3241...41...36......7.2...3.46......7.1.3....1..24  11.7/1.2/1.2
9876.....5..8...........6...6..432...1.2..4.....1...83..1.8..24...4.1.6.....2.3.1  11.7/1.2/1.2
9876.....65.7..............4...7.32....3.4.67....2.4.1..6.31..2..42....3...4..17.  11.7/1.2/1.2
9876.....65.7..............4.....32....34..67.....24.1..6.13..2..427...3...4..17.  11.7/1.2/1.2
9876.....65.7..............4...7.32....3.4.6.....2.4.1..6.31..2..42....3...46.17.  11.7/1.2/1.2
9876.....65.7..............4...7.32....3.4.6.....2.4.1..6.31..2..42..6.3...4..17.  11.7/1.2/1.2
9876.....65.............7....6.4321...41..6.3...2...74...31..26....6734......21..  11.7/1.2/1.2
98.76.5....5....97..4...8..8.6.........63...8...21....5.9....4..7....6.5.4...7.89  11.7/1.2/1.2
987......65..........76....46.3..2......2..43....1.7....4..1.37...23...1....7462.  11.7/1.2/1.2
987......6..8...........5..5.4.3..2....4.23......8.1...5...123..4.2....1...35.8.4  11.7/1.2/1.2
9876.....5..8...........6...6..4321..1.2..4.........83..1.8..42...4.1.6.....2.3..  11.7/1.2/1.2
98.76....7.5..86...46..5....7.58..6..5..47.9...46.......8.........9..3.2......9.1  11.7/1.2/1.2
987......65..........76.....6.4..3.....21.7......3..42..2..1.74...34.21.....7.6.3  11.7/1.2/1.2
98.76.5..7...498....6......6..9.....45..87....79....8.5.4...........5.32.....4..1  11.7/1.2/1.2
98.7..6..7.5...9...4.....876.4.........32..4.....1....56.....7...9..48.5..8..7.96  11.7/1.2/1.2
987......6...........85....5..4..3.....21.8......3..42.5.34..1..2...1.84....825.3  11.7/1.2/1.2
98.7..6..7.5...8...4.....976...........43.......21..4.56.....7...9..7.86..8..49.5  11.7/1.2/1.2
987......65..........76.....6.4..3.....21.7......3..42..2..1.73...34..1.....726.4  11.7/1.2/1.2
98.76.5..7....98...46......6..9......974...8..5..87...5.4...........5.32.....4..1  11.7/1.2/1.2
987......65.7...........6..46..3..2....4.23......7.1....43....1...26.7.4.....123.  11.7/1.2/1.2
98.76....7.5..8....64......8.....4...9...532....9...5.6..4.7....7..56..4...89....  11.6/1.2/1.2
98.76.5..7.5.9..8..46......8.....6.756...7.49..9...85....34.......2.6.........4..  11.6/1.2/1.2
98.76.5..7..4.9.86.4..5....6..89....5.8.47....945.6.....7.....3......6.........42  11.6/1.2/1.2
98.76.5..7.4....6..5.4.9..88.7...6.4.69....75.4....98...53........2.7.......4....  11.6/1.2/1.2
98.76.54.7.5...6...4...9..88.7....65.69...7.4.5....89...43........2.7.......5....  11.6/1.2/1.2
98.76.54.7.5..4.6....8..9..3.9......2.......6.7.........79.6.85...45..7.....8.4.9  11.6/1.2/1.2
98.76.5..7......8..56..49..64.....985.8...4.7.79...6.....83........2...5.....6...  11.6/1.2/1.2
98.76....7.5.48....4.5.9...6.....3........27.........44.7.9.....6..5.49..5...67.8  11.6/1.2/1.2
98.76.5..7.4..8....5.4.9...6......3.......72.........5.6..4.95..4.5.6.78..7.9....  11.6/1.2/1.2
98.76.5..7.4..8....5.4.9...6......3.......72.........55.7.9.....6..4.9...4.5.6.78  11.6/1.2/1.2
98.76.5..7.4.8.....5.4.....8.5.96...4..5.7.....784..9.6.9............63........29  11.6/1.2/1.2
98.76.5..7.5.9..8..46......86...7.495.....6.7.9....85....34.......2.6.........4..  11.6/1.2/1.2
98.76....7.5..9....64......8....432..9....5.....8...4.6...47..5.7.5.6......98....  11.6/1.2/1.2
98.76....7.5..48....6.5..9.89.4.7....5..96.7...75..4..4..8....3....4...2.........  11.6/1.2/1.2
98.76....7.5..48....6.5..9.89.4.7....5..96.7...75..4..4..8....3..8..............2  11.6/1.2/1.2
98.76....7.5..96...4..58...6..9.47..45.........958..6..9..4......76...........3.2  11.6/1.2/1.2
98.76.5..7.4.9......58.4.9.8...4.....9.5............326.89.....4...76....7...8.56  11.6/1.2/1.2
98.76.5..7.5..4.6..64...9.78.6...7.95...9..8..4.....56..73....4...27.............  11.6/1.2/1.2
98.76.5..7.5..4.6..64...9..8.6...7.957..9..8..4.....56...37.......2....4.......7.  11.6/1.2/1.2
98.76.5..7.59.4....4...8.7.6..5....3.....6..2.........5.769.....9.8..6.7..8.4..9.  11.6/1.2/1.2
98.76.5..7.59.4....4...8.7.6..5....3.5...............25.769.....9.8..6.7..8.4..9.  11.6/1.2/1.2
98.76.5..7.5.......4.....9789..4..6..57..69.4..4....85.6....4....8.....9...32.8..  11.6/1.2/1.2
98.76.5..7.5..4.6.....85.973.7......2...7...8...........96..4.....45..79....986.5  11.6/1.2/1.2
98.76.5..7.5..4.6.....85.9.3.7......2.......8......7....96.74.....45..79....986.5  11.6/1.2/1.2
98.76.5..7.5.94.....6..8...89..57.....49........4.6.8.4.........7.....32.6...5.7.  11.6/1.2/1.2
98.76.5..5....8....47..96..8...57.9.79.4......65.8.........4..........63.......21  11.6/1.2/1.2
987......65..........7.......643.21...4.26.73...1.76.....3.4..1....7..42....1236.  11.6/1.2/1.2
987......65..........76....46.3..2......2..43....1.7.6...6.4.3....23.4.1....7162.  11.6/1.2/1.2
hendrik_monard
 
Posts: 45
Joined: 19 April 2021
Location: Leuven (Louvain) Belgium

Re: The hardest sudokus (new thread)

Postby mith » Wed Jan 19, 2022 7:16 pm

Nice list! Some of these are in my batch from last night (~50), but since you almost certainly got to them first I'll switch them to your name.

The very last puzzle on your list actually rates 11.7 with the (gsf buggy version of) minlex form. I'll leave it at 11.6 on the basis that the lower rating is more accurate (there exists a path through the puzzle that is 11.6, even though minlex form can't find it - whether because of uniqueness or pruning).

I'll update/add these, and then I'm waiting on a list from jovi. (And I still need to do the patterns game...)
mith
 
Posts: 803
Joined: 14 July 2020

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