The New Sudoku Players' Forum

[champagne]

Here the second UA4

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98765.......4..........3...87..2.9.6.95.6..726.2...85.25.....9..68....277.9...5.8
98765.......4..........3...87..6.9.2.95.2..766.2...85.25.....9..68....277.9...5.8 # original


and another possible definition of the property

If an UA of the solution grid is in the given, then you can switch to the twin(s) puzzle(s)

[coloin]

[code]...IMO These twin close to the original have a better chance to give good results

Maybe .. im not sure what is the best way to extend the vivinity search..
blunderbust aproach is what I am doing !!

[champagne]

chunk 18 m closed (solution grids rank 18M1 to 19M)
not bad, but 11.6 remains difficult to pass with skfr

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67..41...9...3.........8......45..13...1.38.9....8954..3..94.5....3.51.4.4.81.93.;11.3/11.3/10.4
.......8...2........4..76...8.31..651..5.67.8....7813.6.8.35.71...7.18.6.71....5.;11.3/11.3/2.6
..4....8............2..76...8.31..651..5.67.8....7813.6.8.35.71...7.18.6.71....5.;11.3/11.3/2.6
67...1...9...3.........8......45..134..1.38.9....8954..3..94.5....3.54.1.4.81.93.;11.4/11.4/10.4
..4......37.4..2........149...64..211..9.86.44...1298.....84..6.4.1.9..2...26.4..;11.4/11.4/2.6
.72..5.1.5.........9....54....53..94...4.98.19...1835.....54.89.893.14.5......1..;11.4/11.4/2.6
......9784.68..3..............31..57...9.58.3....7819...7.59.81..87.3..9...18.73.;11.5/11.5/2.6
4.68.7......2.1....2....8.9...7...25..79.21.8.....579.....29.51..15.8..7...17.98.;11.5/11.5/3.4
...9.7...397......84....7....679..12..91.26.5....5697.....15......2.91..91.67..2.;11.6/10.3/2.6
8.4..2.6..........2..659......56..797..2.15.6....9721.....16.9....9.57.1...72.65.;11.6/11.4/2.6
2.4..7.3.......78..1..3.......78..13...1.35.6....6587.....51.68...6.83.7..837..5.;11.6/11.6/2.6

[champagne]

2 more chunk closed

chunk 19 similar to previous ones

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....9.2.......1....347.2.....921..561..6.57.9....7912.....56.9.6..9.75.....12.67.;11.3/11.3/2.6
.4...8....9...13....7.........87..65...5.61.3....1378.36..85....1.3.75.6..516..3.;11.3/11.3/2.6
.....6...29...1.....7........531..877..6.53.1....7865..7..53.1....1.75.8.5.86.73.;11.4/11.4/10.4
97.........8........4.5....7.956..21...2.19.71...9756.....72.....76.51.2..591.67.;11.4/11.4/2.6
...87.....4.....6.29.....8...513..78..37.86.5....6531.....87.56...5.38.1...61.7..;11.5/11.5/2.6
84.........2........7.51......79..65..61.27.9..9.6512.....29...91.5.76.2...61.95.;11.5/11.5/8.3
.....3....94........2....8.1..65..787..3.16.5....8731.....16.5....5.81.7.5173.86.;11.5/11.5/9.2
....86.....6....7.29.........531..87...6.53.1....7865..7..53.1....1.75.8.5.86.73.;11.5/11.5/9.4
9.2...3....4...5.....13.......87..56.8.5.61.3.6..1378.....68.37...3.16.5...75..1.;11.6/11.6/2.6
974.........57......2.....7...78..13.8.1.35.6....5687.6.8.37..13..6.5..8...81....;11.6/2.0/2.0

and a poor in very high ratings

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3.8.........6.7.........5.....97..657..5.61.2..6.1279.2.1.69.57...1.52.9...72..1.;11.3/11.3/2.6
85.....2.......8...7.281......64..9846.9.81.2....12.......94.869..1.62.4...82.9..;11.3/11.3/2.6
85.....2.......8...7.281......64..9846.9.81.2....12.......96.849..1.42.6...82.9..;11.3/11.3/2.6
5.7.21...8.............9......46..124..1.29.8....9864...2.84.6....2.61.4..491.82.;11.4/11.4/10.4

The first step (target 33 millions solution grids processed) could be over in 2 months
I started implementation of a tailor made vicinity search to work on the best seeds

[champagne]

chunk 21 closed, only 5 skfr>=11.3, but a new 11.7
now five 11.7 in expanded puzzles,

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8.....2.1.3....9....79.2......12..65.6.7.91.2....5679.....95.1....2.16.9...67.52.;11.4/11.4/10.3
59...3........7.....8.2.......64..3246.3.27.8....7846...4.86.2....2.48.3...73.64.;11.4/11.4/11.1
.38..19......9....9......1....21..65.2.5.67.9..6.7912.....52.91...9.7..6...16.27.;11.4/11.4/2.6
..8.........671...3......67...79..56...1.27.9....6512.5.7.26.9....9.7...9.251.67.;11.6/11.0/2.6
.415...........5...9.7........31..56..36.57.8....7813.8...63......8.76.567.15.38.;11.7/11.3/7.1


[champagne]

chunks 22 and 24 closed one more 11.7

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......2...16...3.95.4.3....7..45..32...7.94.54...2379...2.95......2.4..3.4.37..2.;11.3/11.3/2.6
.12...8............5..8..6..2364..877.....6.4......32..7..24..6...7.62.82..83.74.;11.3/2.0/2.0
.1...5..93.4..........7.....2.65..97.6.9.72.1....2156.....96.759....21......1.92.;11.4/11.4/2.6
4.62..9........312.2..........71..232..3.57.9....2915.....52.919..1.3..7...97..3.;11.5/11.5/2.6

Code: Select all

2.6.....9.....3.......9...1...31..981.39.84.5....4513.8...39.1..9.5.1..3...48.95.;11.3/10.9/10.4
......8.5.....3....42.5.3..7..31..56...6.57.8....7813..35.86......5.1..3..173.58.;11.3/11.3/2.6
.4.1.2...2...9......8......7..65..12.2.9.75.6..6.2197...2.76..9.6.2.91.7...51....;11.3/11.3/2.6
..8..7.....2.....39.4...5...8.31..56...6.57.8.5..7813.8.5.63..1...8.1..5...75....;11.6/1.5/1.5
..8.......72.....39.4...5...8.31..56...6.57.8.5..7813.8.5.63.71...8.1..5...75....;11.6/10.4/7.2
.2.8.....4.6.3..........1.3...31..72.3.7.58.1.7..8253...7.23..5...1.82.7...57.3..;11.6/11.6/7.1
..8.....1314.........51.......12..79.2.7.95.6....5621.9.2.61..76..9.5..2...27....;11.6/2.0/2.0
.34....6.2...56...6.8...9..7..21..561..6.57.9....7912...5.62.9....7.1......59....;11.7/11.7/3.4


The ratio number of start/ solution grid continues to go down slowly, now 1.3 for an average expected of 0.5

[champagne]

chunks 23 and 25 closed, no 11.7, next to come i in chunk 26

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3.8..............5....7..1..2.65..97.6.9.72.1....2156.9...16.5....7.29.6..659.17.;11.3/11.3/2.6
.34...9.....6.9...9........1..97..657..5.61.2....1279.....65.21..12.7..9...19.57.;11.3/11.3/3.4
3.......2..7..2...8.....9..7.921..651..5.67.9..6...12.....21.9.2..9.56.1...76.25.;11.3/11.3/3.4
24..........7......9......5...31..56..36.57.8..6.7813.....86..186.1.75.3...53.68.;11.4/11.4/8.9
24...3........1.....1....58...13..65...7.81.3....6578.3...86.7....3.75.66..51.83.;11.5/11.5/10.2

Code: Select all

9..52.....48.....5.......6....97..211..6.59.7....1265.....57..6.7.1.95.2...26.17.;11.3/10.3/8.3
9..52.....487............6....97..211..6.59.7....1265.....57..6.7.1.92.5...26.17.;11.3/10.4/7.1
9..52.....487............6....97..211..6.59.7....1265.....57..6.7.2.91.5...16.27.;11.3/10.4/7.1
..4..9....7.....2...8...6...2.97..657..5.61.2....1279.6.2.95.....51.72.6.17......;11.3/10.9/2.6
9..52.....487..2.........6....97..211..6.59.77...1265.....57....7.1.95.....26.17.;11.3/11.1/3.4
......38.6...2.....91.......8.64..324..3.27.8..3.7846...2.86.74...2.4..3.4.73....;11.3/11.3/2.6
..6.4.......8.....35.........946..12...1.29.812..9864.....84.26..26.98.1...21..9.;11.3/11.3/2.6
.38..1..........7.....5.....6.21..97...5.62.1.2..7956...7.65.1....1.79.6..692.75.;11.3/11.3/7.6
.7.1......5..64..........4.1..64..98...9.81.2....1246...8.26..4...8.16.9..649.82.;11.4/11.4/2.6


[champagne]

chunks 26/27 closed with a new 11.7
Approaching the chunk 33 planed to be the last scan in this phase.

Now preparing a vicinity search around the best seeds seen here.
I'll open new threads to comment on this new task. One or 2 threads for the process, one for the results.
This thread will continue to receive results of more chunks in due time

Chunks 33 should hit one solution grid of the "loki" family.

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..87......146.5.........5....921..56.2.5.67.9.6..7912.9....2......9.76.5..71..29.;11.3/11.3/3.4
....6.....4.....8..92....6....65..13...8.75.6....3187..31.76..8...5.37.1.7.18.63.;11.6/11.6/9.2
.4.........2.....35...38...7..65..31...3.18.71...8756.....73..6...8.61.5...51.37.;11.7/11.7/3.4

Code: Select all

.1........9..4...2..6..8...7..32..64..36.48.7....8723.....73.26...4.2....3.86.47.;11.3/11.3/2.6
.5........91.........4.8......23..46...8.72.3....6487..36.42..7..73.64.2...78.36.;11.3/11.3/2.6
.91.......5..........4.8......23..46...8.72.3....6487..36.42..7..76.34.2...78.63.;11.3/11.3/2.6
8..............587.428..61.1..78..65.6.1.37.8....5613.....38.5....5.7......61.87.;11.3/11.3/2.6
..7....4..1..4.....45.......6.12..98...4.61.2.2..8946.8...62..4...8.46.9...91.8..;11.4/2.0/2.0
..7.4.....1.....4..45.......2.46..89...1.24.6.6..9812.8...26..4...9.48.2...81..9.;11.4/2.0/2.0
.76...1.....3.......2.........45..13...1.38.91...8954..9..34.51.419.5..8...81.49.;11.5/11.5/2.6


[champagne]

chunk 29 should be closed to-morrow
chunks 30;31 closed

Not very rich, but 2 11.7, likely same solution grid, in the chunk 30

Code: Select all

....5....9.2.6...5......176...87..311..5.68.7.8..1356.6...37......1.56.3...68.7..;11.3/11.3/2.6
.....4..21.3.9.4.........9..5.92..766..7.59.4.9..4625...6.59..7...4.26.....67.5..;11.3/11.3/3.4
1...7.....563...........2.3...84..21...7.34.8..8.2173.....84..28..1.73.4...23.18.;11.3/11.3/7.1
4.8.............91.5...7......21..56.2.5.67.9....7912.....62.1...69.12.5...75.96.;11.4/11.4/2.6
........87.9.......2........3.68..41...1.28.3.1..4326...4.18.3....3.61.43.142.68.;11.5/10.5/10.2
4.67...2................987...35..7.3..8.75......2983.....73.98.7.9.52.3.3.28.7..;11.7/11.7/2.6
4.67...2.7..............987...35..7....8.75....7.2983.....73.98.7.9.52.3.3.28.7..;11.7/11.7/2.6


Code: Select all

.......9..12........45..8...3.69..156..1.39.8....8536.....56.89...9.81.3.8.31..5.;11.3/10.8/2.6
.......9..12..9.....4...8...3.69..156..1.39.8....8536.....56.89...9.81.3.8.31..5.;11.3/10.8/2.6
.4......923................12.65..975..9.72.17...2156.....79.1..7.1.59.6...26.75.;11.3/11.3/2.6
4.18.....2.......36.....9..5.4....981.39.8.......4513..4..83.51.5.4.1..9.1.59..4.;11.4/10.3/2.6
4.18.9...2.......36.....9..5.4....981.39.8.......4513..4..83.51...4.1..9.1.59..4.;11.4/11.1/2.6
4........9...5............6...31..651..6.57.8....7813...5.83.718.75.16....176.58.;11.4/11.4/2.6
4..5...........7..9...73...7..65..31.6.3.18.7....8756.3...16.7...17.5...6..83.15.;11.4/11.4/3.4
8.6......4.............1......79..56.6.1.27.97...6512.6...27.9..7.9.62.59..51.67.;11.4/11.4/9.0


We are close to a switch to the second phase, the vicinity search.
I'll comment in the next post some thing seen in my tests

[champagne]

It seems that I missed one report.
chunks up to 35M are now closed, and due to some delay in the vicinity search start, I also hav an ongoing scan of the chunk 36 (solution grids 36M1 to 37M)

This is a little more that what I intended to do in the direct scan.

Best results for the missing closed chunks

chunk 29

Code: Select all

9.......2.6.....3....3.5......48..73..45.72.8....3254.....54.877..2.3...45.87.32.;11.3/11.1/7.3
9.......2.6.....3....3.5......48..73..45.72.8..8.3254.....54.87...2.3...45.87.32.;11.3/11.3/7.3
.8...5..3....7..4..6......9..7....253..2.97.4.4..5739.....24.57.7.5.39.....79.43.;11.4/11.4/2.6
.75..4...8.......4...9.8......69..41...4.28.9..4.8126.....46.121..8.94.6...21.9..;11.5/11.5/2.6


chunk 32

Code: Select all

..1....8.9..4....6.5.....4.7..32..64...6.48.7..4.8723.....36.78...7.24.3...84.6..;11.3/11.3/2.6
....3.5....6........14........97....7.93.24...23.4579.....93.573..5.42.9.9.72.3..;11.3/2.0/2.0
....3.5....62.......1.........97....7.93.24...23.4579.....93.573..5.42.9.9.72.3..;11.3/2.0/2.0
4.8............197..........2.56..79...2.15.6.6..9721.9...16.5...69.57.1...72.96.;11.5/11.5/2.6
4.8............791..........2.56..79...2.15.6.6..9721.9...16.5...69.51.7...72.96.;11.5/11.5/2.6


chunk 33

Code: Select all

69.8.3.7......2.......5......7.3..84.....43.7....7852.....87.32..34.57.878.32.4..;11.3/10.4/2.6
......879..........237........59..615..6.89.7....7158..9..17..66..9.57.8...86.19.;11.3/11.3/2.6
......978.........1.3..8..6...27..94...8.96.7....4628.9...87.6....6.48.98..92.74.;11.3/11.3/2.6
9...8....2...3.....5.....3..6.31..877..6.53.1....7865.8...57..3...1.35.8...86.71.;11.3/11.3/2.6
.237..4........78.7........6..91..479..8.76.1....6489.....71.6....6.9....6148.97.;11.3/11.3/3.4
.237..4........78.7........6..97..419..8.16.7....6489.....17.6....6.9....6148.97.;11.3/11.3/3.4
24......38..7.6............5..31..8778.6.53.1....7865...8.57.3....1.3.....586.71.;11.4/11.1/3.4
......7..4..5.....9...76...7..65..31.6.3.18.7....8756.6...13.7...17.5...3..86.15.;11.4/11.4/3.4
91..........62.....5..........46..78..47.83.2....3264.....84.238..3.6..73..27.86.;11.5/10.2/2.6
...271.....2......4.89...2..6.79..12...1.26.5.2..6597.2...1..5....5..2.1...62.79.;11.5/11.5/2.6


chunk 34

Code: Select all

2........97.8.................57..63...3.61.836..8175.....65.311.37.86.5.5.13.8..;11.3/10.9/2.6
...1.......2...8....6.9....1.354..89...8.9.......1345..91.85.3..3.9.15.8.5.43.91.;11.3/11.3/2.6
8..7.2.........7..47.....1........9756.9.72.1.....156.....96.75.9.2.51.66..17.9..;11.3/2.0/2.0
.5......1..........7.814......46..89..91.24.6.6..9812.....86.1.6..2.19.8...94.26.;11.4/11.4/2.6
..6...34...19......72...89....54..895..8.91.3....1345.....95.1....3.1......48.93.;11.6/10.9/2.6


chunk 35

Code: Select all

...6.7...4.......12......6....13..56...7.81.3....6578..5..81.3..1.3.65.83..57.61.;11.3/11.3/7.2
..1.....2..8..........5..9....54..235.42.37.9....7945..3..95.74.7.3.42.....72.93.;11.4/11.4/2.6
..1.....2..8..........5..9....54..235.42.37.9....7945..7..95.34.3.7.42.....32.97.;11.4/11.4/2.6
.5..........6.2....7......1...89..46.642.18.9..9.6421.....86.9.6..4.91.8...12.46.;11.5/11.5/7.1
..6..1....5......2..7...8.....46..89.891.2....64...12.9...24.6.4..9.62..6..81.94.;11.6/10.3/2.6
..62.1....5......2..7...8.....46..89.891.2....64...12.9...26.4.6..9.42.....81.96.;11.6/11.6/2.6
.75.4...............1.......8.46..23.2.7.84.6.64.3278.....86.3...63.48.2...27.64.;11.7/11.4/2.6


chunk 36 (last one should be closed in 2/3days

[champagne]

the last chunk (36) is now closed with 2 new 11.7, likely in the same solution grid

Code: Select all

9..713...4.......7.........1..65..78.8.3.16.5....8731.....75.6...58.67.1...13.85.;11.3/11.3/2.6
.....9...3.5.....6.......4....64..21...9.86.4.6..1298...2.84.6....1.62.88.629.41.;11.3/11.3/6.6
.68....3..1.32....3........8..45..23..57..8.4......75..23.45......8.73.278.23..4.;11.3/2.0/2.0
4.......8..9.......2..87....6.81..73...7.62.1.1..3286.....63.8....1.86.76..27.31.;11.6/11.6/9.7
.15.4......7................2.46..89...1.24.6.64.9812.....86.9...69.48.29..21.64.;11.7/11.4/10.3
.15.4......7................2.46..89.8.1.24.6.64.9812.....86.9...69.48.2...21.64.;11.7/11.4/2.6

I wanted to cover 33 million solution grids, so the job is done
the next phase will be to work in the vicinity of these results.

I started tests on the results of the 21 first million solution grids.
I'll report on this in other threads.
My first test has been in the vicinity of puzzles rating >=11.2.
I got one solution grid with puzzles rating skfr 11.8. This will be the start for a deeper vicinity search.
Next is the vicinity of puzzles rating 11.0 11.1 but due to the number of such puzzles, the vicinity is expected to be covered next week.

[ghfick]

I am exploring the chunks looking for interesting paths after the TH. In chunk 35,

..1.....2..8..........5..9....54..235.42.37.9....7945..3..95.74.7.3.42.....72.93.;11.4/11.4/2.6

After the TH, YZF_Sudoku can find only impossible pattern forcing chains to advance the puzzle like:

Impossible Pattern(168{r4c267,r5c258,r7c147,r8c589,r3c29,r6c19,r9c6}) Forcing Chain: Each true guardian of Impossible Pattern will all lead To: r3c2<>6
2r3c2
4r3c2
2r6c1 - 2r6c2 = 2r3c2

A really tough one?