The New Sudoku Players' Forum

[1to9only]

I'll post the results tomorrow. I have other things to do, and windozes tuesday updates have arrived!
The rating program can only rate one twodoku at a time, i.e. one twodoku per file and the contents have to be in the correct format, e.g. sudoku + jigsaw.

[Hajime]

Fixed the bug. Here a new puzzle, same layout. Medium hard.
Hopefully it has a unique solution. Would you check, please?

duo_jigsawl.PNG (53.44 KiB) Viewed 695 times

Code: Select all

#2//B4,JS/H16,JS
........5.........4...2.3......38.61..5.....2.6..................39........1.....
111112222114122233444155223644555553644455333667777733668777999668788999688888999
.....7.6.......1..........1......9..............9.5..826.3.1.5.....7.........4...
999888886999887866999777866337777766333554446355555446322551444332221411222211111


The layout of grid 2 is original, but the numbering of the jigsaw pieces is adjusted in order to synchronize the colors.

[urhegyi]

Your uniqueness bug seems to be fixed:
solution:
grid1:

Hidden Text: Show

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134296875671549283496825317527438961985371642268713459749652138813967524352184796

grid2:

Hidden Text: Show

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138257469524896173796548321851732946473629815647915238269381754915473682382164597

[1to9only]

The 25 twodokus ratings:

Hidden Text: Show

Code: Select all

...7.....8...4..5..3......4....952.......7..2......81..2..1....7.2..6.......5.... ED=1.5/1.2/1.2
....1.......4..8.3....5..8..52......8..3.......819....6......7..1..6...2.....3... ED=1.5/1.2/1.2
ED=1.5/1.2/1.2
453728961869142357238961574176395248914587632645273819527619483782436195391854726
483612597195476823726954381952738164874321659268197435631549278317865942549283716
Solved.

.64.53....9....6.7.5.8.........972...............8.....2.......8..6......8..46... ED=2.0/1.2/1.2
...21..5......2..5.......6.....5...............639.........5.8.3.2....9....78.12. ED=1.5/1.2/1.2
ED=2.0/1.2/1.2
764253981398125647256831479613497258147968532472589316529714863835672194981346725
863217459194632875725143968247958631678529314586391742931475286312864597459786123
Solved.

1.......9......4...63.5.......1...8..2.8...7......4..6....9....84.......2...13... ED=2.8/1.5/1.5
...89...7.......63....1....4..6......2...3.7..3...9.......5.84...6......1.......9 ED=2.8/1.5/1.5
ED=2.8/1.5/1.5
186425739539768412463957128975132684621849375317284596758691243842376951294513867
243895617951428763867914352415637298528163974634789521379251846796342185182576439
Solved.

3......715...2......1......74.....3........1..983.................482............ ED=2.0/1.5/1.5
............175.................679..2........6.....58......2......1...428......6 ED=1.7/1.2/1.2
ED=2.0/1.2/1.2
362945871576123984921857463745618239283794615498361527634279158157482396819536742
158364927396175842742981563814236795423598671961723458635847219579612384287459136
Solved.

......2........7....14...9...7.4...6...9..1...1......8..3..8...3.451.....9...5... ED=7.1/1.2/1.2
...3...2.....431.5...8..5..8......4...4..2...7...1.6...2...14....6........9...... ED=3.4/1.2/1.2
ED=7.1/1.2/1.2
785691234128356749651472893237849516842963157519734628973128465364517982496285371
465389721982643175371894562897156243634572918743218659528961437216735894159427386
Solved.

3..4..1.67.3.4.....5..9...7...8..7..4......83..1.53....38.6....5..7.9......3..... ED=1.5/1.2/1.2
.....3......7.9..6....5.23....36.4..32......1..9..2...9...7..6.....1.3.95.4..1..3 ED=1.2/1.2/1.2
ED=1.5/1.2/1.2
329487156763548912854196327612835749497612583971253864138964275586729431245371698
275493618431789526698157234152368497326845971719632845983574162847216359564921783
Solved.

........6........4..........6.8.7.5..9......165..3.7.9.13...........9.....7..8... ED=1.7/1.2/1.2
...3..9.....7...........81.7.9.8..651......7..6.9.3.5..........2........5........ ED=1.5/1.2/1.2
ED=1.7/1.2/1.2
789415236528371964135692847962847153894763521651234789213986475476529318347158692
475361928318746592692537814739284165146859273861923457923475681257198346584612739
Solved.

.6....9.2...5.1.........8.........7..4....35....9......5.6.2...43.........4...... ED=2.0/1.2/1.2
......9.........69...5.3.2......4....26....9..8.........7.........1.2...5.4....3. ED=2.0/1.2/1.2
ED=2.0/1.2/1.2
867145932392571486579213864213468579746829351685934127951682743438796215124357698
743826951215348769698573124851964273126457398482739615937615482379182546564291837
Solved.

2..5716....41....9........6....2......32..7.1.............43......6.9...7........ ED=9.0/1.5/1.5
........9...7.1......43.............6.9..84......8....1........7....63....1695..8 ED=3.2/1.2/1.2
ED=9.0/1.2/1.2
239571648684157329178435296396824175453296781961782534512943867827619453745368912
867214539453761982912437865345829617629178453596382174178543296784956321231695748
Solved.

6...9..5.5..........8........6...37...2..84.....4.1.....7......9...2....1........ ED=2.8/1.2/1.2
........4....9...2......3.....4.1.....18..9...37...5........8..........6.6..2...5 ED=2.8/1.2/1.2
ED=2.8/1.2/1.2
643897251524763819738156942816942375392518467259471638467285193971324586185639724
193275684586197432724689351875431269351846927637912548912564873248753196469328715
Solved.

.4.2....8..5..7.........1..39...........6.2........6.427.9..................38... ED=2.6/1.5/1.5
...19..................3.654.7........5.7...........39..8.........6..2..1....5.4. ED=1.9/1.5/1.5
ED=2.6/1.5/1.5
749216358835627419628543197394851726413769285982175634271984563567392841156438972
563194728841539672972413865497268513215376984756821439638942157384657291129785346
Solved.

..7...4...8........24.8....16....3.....8..9.7....6.........3.......1.........8... ED=2.8/1.2/1.2
...1.........8.......3.........9....5.6..1.....3....98....1.24........1...2...5.. ED=1.9/1.2/1.2
ED=2.8/1.2/1.2
517392486489237165724681593165974328231856947348569712956123874872415639693748251
874125369639782451251348976485697123526971834143256798367819245798534612912463587
Solved.

.8.1..2...7..6..5....34.....9...7.........794..........1.4.....9.1.74...7........ ED=2.6/1.2/1.2
........1...91.7.4.....9.7..........941.........1...4.....93....6..5..1...8..7.2. ED=2.6/1.2/1.2
ED=2.6/1.2/1.2
586193247478261953127349586294857361863512794649735128315428679951674832732986415
679524831832915764415289673287631495941876352753162948526493187364758219198347526
Solved.

3....2....7........239.............3..1....7...6..4.5.4..72......5..1........6... ED=1.9/1.2/1.2
...7........3..8......26..9.8.9..7...6....3..1.............412........6....2....1 ED=1.5/1.2/1.2
ED=1.9/1.2/1.2
358642197174238569823957641567419283291563478786194352419725836635871924942386715
836751294924365817715826439281943756569178342152439678397684125478512963643297581
Solved.

.....6.......4.7....63..81....8...4...8..7..9.9....5.186........4..........6.4... ED=1.5/1.2/1.2
...3.9..........3........987.2....6.6..1..8...3...8....78..49....1.3.......9..... ED=1.5/1.2/1.2
ED=1.5/1.2/1.2
417586392621945738976352814732819645158437269394268571865193427543721986289674153
427319685986751432153467298712895364695143827239678541378524916841236759564982173
Solved.

...........5...2....6....7.4.3...98.5....2.1.2813...............3.......7.8..6... ED=2.6/1.2/1.2
...6..4.9.......1...............1345.3.5....2.47...1.8.9....6....5...2........... ED=1.9/1.2/1.2
ED=2.6/1.2/1.2
862759431345168297126943578473615982594872316281397645619284753937521864758436129
753618429864352917129845736286971345631594872547236198492187653975463281318729564
Solved.

7..4..85...........5.1..3......7...58....5.645..2..............9.7...........9... ED=2.9/1.2/1.2
...3...........8.3..............6..142.1....71...8......9..5.1...........17..4..8 ED=1.7/1.2/1.2
ED=2.9/1.2/1.2
732491856683542917258164379346978125891735264579216483124357698967823541415689732
698372154541967823732819465974256381426198537165783249389425716853641972217534698
Solved.

...3.1..9...........7...68...46..3.8.........546.1...3....5.....8..2............. ED=2.6/1.2/1.2
.............8..2.....5....6...7.395.........2.6..39...23...1...........4..7.6... ED=2.6/1.2/1.2
ED=2.6/1.2/1.2
875361249428137596137942685294675318362598471546819723719253864983426157651784932
864921753157389624932658471681472395719245836276513948523894167345167289498736512
Solved.

.......2.6.......1......5........987..6...4.............9..2...43.......7..41.... ED=1.7/1.2/1.2
....16..9.......26...3..7.............6...4..957........8......1.......4.3....... ED=1.7/1.5/1.5
ED=1.7/1.2/1.2
875396124647289351398124576214635987926571438581743692169852743432967815753418269
743516289815947326269385741374269158526198437957824613498631572182753964631472895
Solved.

....9.8..5....6.4..2.7.1.......3..5.9.....1......7......79..............2.6...... ED=2.0/1.5/1.5
......8.7..............52......2......1.....5.9..4.......1.2.7..3.8....9..6.5.... ED=1.9/1.5/1.5
ED=2.0/1.5/1.5
342695871513826947629781435871439256984567123135274698457918362768342519296153784
362491857519734682784615293658327941471289365897543126943162578235876419126958734
Solved.

..5.3.29......6......9.......1.8.............1.....6.7...2........425...3..8..... ED=9.4/1.2/1.2
.....7..1...495........9...8.6.....3.............7.3.......2......6......29.1.4.. ED=3.4/1.7/1.7
ED=9.4/1.2/1.2
865734291428176539572961384291583476734692815149358627653217948987425163316849752
948257631163495872752839146896741253437926518685174329571362984214683795329518467
Solved.

2..96...4.36..5..................8....1.7..3....6.......5.4........27............ ED=3.4/1.5/1.5
............61........3.5.......7....4..6.2....9..................5..74.3...78..1 ED=2.8/1.5/1.5
ED=3.4/1.5/1.5
258961374136485927983754261472396815841572639327619548795243186619827453564138792
186942375453619827792431586935827614847165239529784163271356498618593742364278951
Solved.

.4..832..3.4.....1....5........9.7.....1...8.6...29..5.3..1....8...4.........6... ED=9.0/1.5/1.5
...4.........6...5....2..3.8..71...4.5...2.....9.7........8....2.....6.3..135..6. ED=3.4/1.5/1.5
ED=9.0/1.5/1.5
146783259354967821793258416528491763465132987617829345932514678879645132281376594
678493251132864795594628137863715924957132846349276518426581379215947683781359462
Solved.

6...2....5..87.........2.64....8..........5.1.....5..2...9.8.......6.....2...3... ED=9.1/1.2/1.2
...7...1.....5.......4.9...1..6.....2.6..........4....85.1.........34..6....1...5 ED=3.2/1.2/1.2
ED=9.1/1.2/1.2
679124853546871239187352964235789146892436571913645782764918325351267498428593617
325796418498351267617429853143685729236578194582943671859167342971234586764812935
Solved.

6..2.7.9..............9.3.......61....468.......1.....74.......367.18............ ED=2.0/1.5/1.5
............18.679.......46.....8.......174....87.......9.3..............3.6.5..7 ED=1.5/1.0/1.0
ED=2.0/1.0/1.0
618237495495721638271594386589376124934685217826143759743852961367918542152469873
961374528542183679873521946326948751685217493458769312719432865197856234234695187
Solved.



Most All are solved. I have not checked them all, but generally the twodokus will rate lower that the single grid 1 jigsaw, e.g. the last twodoku: grids are ED=2.0 and ED=1.5, when the original grid 1 is ED=10.7.

5 are not solved. Dont think I'll be looking into this - as my gattai solvers also using SE solving techniques often do not solve the very difficult gattais!

I have generated a few high rated twodokus, but only one grid requires chains to solve. Some examples are below (same jigsaw layout as the 25s):

Hidden Text: Show

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.3......2.......5....86..9..8...5...42...89.....6...............1.......8.7...... ED=8.3/1.2/1.2
......8.5.......3...............3.....19...82...5...4..9..26....8.......5......2. ED=3.0/1.2/1.2

...........91.......57..3.2...............14.9...4.......8.6........8....3..95... ED=8.5/1.2/1.2
...87..6....5........9.5.......3...5.92...............4.5..69.......37........... ED=3.6/1.2/1.2

....5...31.5..9...84.....52.....6.....6.........6.7....2.51....6................. ED=8.9/1.2/1.2
.................2....67.3....3.4.........1.....2.....26.....98...9..6.41...9.... ED=2.9/1.2/1.2

.......5.....7......3........1.....27...23..99....5..3.82........8.1.....3....... ED=9.1/1.2/1.2
.......7.....4.5........69.7..3....83..27...49.....4........8......3.....1....... ED=4.4/1.2/1.2

.....2...6...154....7.....4.....3......62..1.....5...9....6....5..4.............. ED=9.3/1.7/1.7
..............8..9....6....6...1.....9..72......6.....3.....4....819...2...7..... ED=2.8/1.5/1.5

..35...8...4..12.....68..................6..11...9......9...........8.......72... ED=9.4/2.6/2.6
...67.......3...........5......8...16..1..................42.....65..2...7...39.. ED=2.9/1.9/1.9

.7..............4....5......1...6.3.1..2.4....2.......6.3..8.....9..5............ ED=9.9/1.2/1.2
............9..7.....2..4.7.......6....6.4..5.4.1...7......1....8..............9. ED=3.6/1.7/1.7

3.....98....2..........9..........1...7.......7.1.........5.....39.......68.7.... ED=10.1/1.5/1.5
....4.61.......95.....7.........5.7.......3...3..........8..........2....27.....5 ED=2.9/1.5/1.5



[urhegyi]

I had a closer look at the first not solving example.

Code: Select all

......2........7....14...9...7.4...6...9..1...1......8..3..8...3.451.....9...5...
...3...2.....431.5...8..5..8......4...4..2...7...1.6...2...14....6........9......


On the first line the partial obtained solution by your rating program for grid 1.
On the second line the solution of grid 1.

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756891234128653749631472895287349516.45986123.197246.89731.845.36451798249.265371
785691234128356749651472893237849516842963157519734628973128465364517982496285371

On the third line the partial obtained solution by your rating program for grid 2.
On the fourth line the solution of grid 2.

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45.3.972198264317537182456.835176942564732819748215693.239614572165873.41.9458236
465389721982643175371894562897156243634572918743218659528961437216735894159427386

They seem to differ.
The Overlapping part is 465982371 and your second partial solution begins with 45x. The missing digits in your partional solution can't contain any candidate.
This looks like a bug.

[1to9only]

I've corrected the 25 twodokus results I posted earlier.
The (generated) high rated twodokus are correct.

[1to9only]

Here are a few high-rated twodokus (both grids):

Jigsaw Layout:

Code: Select all

111112222113122244333155224633555554633355444667777744668777999668788999688888999
111222223111224233111444233554444433555667773566666773588669777558889799888899999


Jigsaws:

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...5......8.........2...5...9.6..........3..24..35.....1.......2...6........3.... ED=9.0/1.5/1.5
....1........2...3.......8.....31..62..3..........5.3...9...1.........1......6... ED=9.7/1.5/1.5

1..2...5........7.58...........6....4.1.7.......6..2.....8.9............2.8...... ED=9.6/1.7/1.7
......1.5............9.3.....2..7.......4.6.1....5...........18.6........9...5..2 ED=9.9/1.5/1.5

..8..1.4.2.........47...5........7.47.5.....8...6..........9.......6....6........ ED=9.6/1.2/1.2
........2....1.......6..........4...5.....1.72.6........1...76.........4.4.9..8.. ED=10.7/1.5/1.5

..64........8..4.9.6......1....2.3....1.....6......9...34..........1........5.... ED=10.6/1.2/1.2
....7........4..........19...1......9.....7....4.5....7......1.4.5..3........18.. ED=10.6/1.2/1.2

....6..............4..5..1......43..3.2..1.5..97..5......2......5.......7........ ED=10.1/1.5/1.5
........3.......6......5......2..91..7.6..8.4..93......5..1..7..............7.... ED=11.2/1.2/1.2



Generating these twodokus take 15+ minutes each! Lots of time spent in solving/rating invalid twodokus, replacing the removed clues, removing another set of clues and retrying...

[urhegyi]

I studied the first of the 5 corrected ratings.

Code: Select all

......2........7....14...9...7.4...6...9..1...1......8..3..8...3.451.....9...5... ED=7.1/1.2/1.2
...3...2.....431.5...8..5..8......4...4..2...7...1.6...2...14....6........9...... ED=3.4/1.2/1.2

I solved both grids manually as far as possible and came to:
grid1:

Code: Select all

7....12.41.....7496.14...9...7.49.16.4.9..1...1...4..8..31.84..3.451.98249...5..1

grid2:

Code: Select all

4..3...21982.431.5..18.45..8..1...4...4..2.1.74.21.6...2...14.7216.....41.94....6

When I rate them now I get for the first grid:

and for the second grid:

Which confirms your rating from 7.1.
When solving this your second rating from the other grid will reduce to 3.4.

[1to9only]

yes, this is pretty much how my program rates all overlapped sudokus, it's not perfect, but it's good enough difficulty indication for me.

[urhegyi]

All twodoku generated with my algorithm that are created in fiendish mode (2.6 .. 6.0) solve for 100 % with max generalized intersection.
Now i did an experiment in diabolic mode (6.1 .. 12.0) and this gave a first example rated 9.9. I have manually solved it and it gave rating 3.4. Can you confirm this?

Code: Select all

.......9....9.32.6.3.........16....5....4..18.5.......8...5.6.3..2........95....4 111112222114122233444155223644555553644455333667777733668777999668788999688888999

Code: Select all

6....58........7..1.4.5...9.......5.93..6....5....43.........1.4.71.8....8....... 999888886999887866999777866337777766333554446355555446322551444332221411222211111

The point when I was rating with your program was at this stage:
grid1:

Code: Select all

..3....91...9.3246.3.....6...16..3853...4.918.5.....3.8...5.6.3..23..859..953.1.4

grid2:

Code: Select all

6.3.158..859..17..1.4.5...9.1.....5.938.6...1591..43...4.....1.4671.8...38....1..

[1to9only]

The rating program solves using (direct) single techniques (ED=1.0-2.5) to reach this (as you've noted):

Code: Select all

..3....91...9.3246.3.....6...16..3853...4.918.5.....3.8...5.6.3..23..859..953.1.4 ED=1.5/1.2/1.2
6.3.158..859..17..1.4.5...9.1.....5.938.6...1591..43...4.....1.4671.8...38....1.. ED=1.5/1.2/1.2


It then switches to using more techniques (ED=1.0-4.0) to solve the twodoku:

Code: Select all

.......9....9.32.6.3.........16....5....4..18.5.......8...5.6.3..2........95..1.4 ED=3.4/1.2/1.2
6.3..58........7..1.4.5...9.......5.93..6....5....43.........1.4.71.8....8....... ED=2.9/1.2/1.2

523864791715983246938421567241679385367245918156798432894152673472316859689537124
673215894859431726124753689716982453938567241591824367245376918467198532382649175



[urhegyi]

The first example you just rated was the first of a batch of 5.
Results nr1:3.4(hidden pair)
nrs2to4:2.9max
nr5: at start 9.8 reduces to 9.6 I think
Strange : In your batch of 25 there where 19 max 2.9, 1 3.4 hidden pair 1 with 7.1 and 4 with 9+
Between 3.4 and 7.1 till now no results(searching for x-wing, xy-wing, xyz-wing, swordfish, yellyfish, skyscrapers, kites, turbot crane ... nothing)
Can you confirm this has 9.6 rating:

Code: Select all

...............9........5...7.2.34..6.......3..5......7..4..8.......96.2...3....9 111112222114122233444155223644555553644455333667777733668777999668788999688888999

Code: Select all

8....4...6.28.......9..3..5......7..4.......2..34.6.5...7........8............... 999888886999887866999777866337777766333554446355555446322551444332221411222211111

[urhegyi]

Another twist:

WSGP 2019 No. 15 (Overlapping Irregular).png (98.92 KiB) Viewed 567 times

[1to9only]

Code: Select all

...............9........5...7.2.34..6.......3..5......7..4..8.......96.2...3....9 ED=9.6/2.6/2.6
8....4...6.28.......9..3..5......7..4.......2..34.6.5...7........8............... ED=9.2/2.6/2.6

953624178482136957368791524879253461614578293245917386791462835537849612126385749
835794261612839547749623185294518736486957312123476859367185924578241693951362478



Strange : In your batch of 25 there where 19 max 2.9, 1 3.4 hidden pair 1 with 7.1 and 4 with 9+
Between 3.4 and 7.1 till now no results(searching for x-wing, xy-wing, xyz-wing, swordfish, yellyfish, skyscrapers, kites, turbot crane ... nothing)

I think these were generated with basic chains enabled (ED=8.5+), each twodoku grid takes a few minutes max to generate.
Edit: I only generated the grid 1s.

The recent twodokus were generated with one level nested chains enabled (ED=9.5+), these take 15+ minutes to generate each.
Generating with two level nested chains enabled take too long.

[urhegyi]

For the jisaw twodoku with the strange twist posted above, we can represent it as:
grid1:

Code: Select all

4...5...8...4.6.....3...7...2..9..8.1..2.8..9.9..2..6...8...3.....7.1...5...6.... 999866666998864446998334466988334422987734422887733222557733111577752111555552111

which is solvable. overlapping area : 326954817
grid2:

Code: Select all

3...............73....3..62...2.6.....1.5.9.....4.8.......7.....69....84.78....51 111255555111257775111337755222337788224437789224433889664433899644468899666668999

filling it in into grid 2:

Code: Select all

326......954....73817.3..62...2.6.....1.5.9.....4.8.......7.....69....84.78....51 111255555111257775111337755222337788224437789224433889664433899644468899666668999

and it will solve too.
The 2 different solvable grids with rating respectively 1.5 and 2.6:
grid1:

Code: Select all

4...5...8...4.6.....3...7...2..9..8.1..2.8..9.9..2..6...8...3.....7.1...5...6.... 111233333112234443112554433122554466127754468227755668997755688977796688999996888

grid2:

Code: Select all

3...............73....3..62...2.6.....1.5.9.....4.8.......7.....69....84.78....51 888699999886697779886557799866557722864457721664455221334455211344432211333332111