Creating layout for jigsaw windoku

For fans of Killer Sudoku, Samurai Sudoku and other variants

Creating layout for jigsaw windoku

Postby urhegyi » Fri Feb 12, 2021 3:16 am

This layout seems to be a good candidate for jigsaw windoku.
The first solution grid creates nice examples with not to many givens:
Code: Select all
#1/W/B4,JS
..2.4.1............85...64.............................23...49............1.2.3..
222222233112152433111154433611554333666654444777655994776659999776859899778888888

analyze log:
Code: Select all
Eliminated candidates per Method and per Sudoku

Method   \  Sudoku |   SER |     1
                   |-------|------
Not counted elims  |     0 |   138
Naked Singles      |   0.1 |    36
Hidden Singles     |   0.2 |   119
Naked Single  [1]  |   2.5 |     2
Naked Pair    [2]  |     3 |    25
Naked Triple  [3]  |   3.6 |     7
Hidden Quad   [5]  |   5.4 |     2
Locked Singles[2]  |   2.8 |    50
Locked Singles[3]  |   2.9 |     6
Locked Singles[4]  |     3 |     3
Turbot-fish   [4]  |   4.2 |     1
                   |-------|------
Eliminated Cand's  |   389 |   389
Sum(SER * Cand's)  |   314 |   314

Initial Candidates :   389
Maximum SER rating :   5.4 - Approach
Labour rating      :   314 - Experimental rating

solution:
Hidden Text: Show
Code: Select all
652349178437158926785231649269487531194675283316792854823516497548963712971824365
222222233112152433111154433611554333666654444777655994776659999776859899778888888
urhegyi
 
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Re: Creating layout for jigsaw windoku

Postby urhegyi » Fri Feb 12, 2021 9:46 pm

New layout for jigsaw windoku:
Code: Select all
#1/W/B4,JS
..................3...6...7.1.....2.2..953..4.3.....7.9...3...6..................
999668888999666688939666888934444777333347777333444471222555171225555111222255111

Analyze log:
Code: Select all
Eliminated candidates per Method and per Sudoku

Method   \  Sudoku |   SER |     1
                   |-------|------
Not counted elims  |     0 |    94
Naked Singles      |   0.1 |    31
Hidden Singles     |   0.2 |   132
Naked Pair    [2]  |     3 |     6
Locked Singles[2]  |   2.8 |    45
Locked Singles[3]  |   2.9 |    19
Locked Singles[4]  |     3 |     9
Turbot-fish   [4]  |   4.2 |     9
                   |-------|------
Eliminated Cand's  |   345 |   345
Sum(SER * Cand's)  | 293.4 | 293.4

Initial Candidates :   345
Maximum SER rating :   4.2 - Approach
Labour rating      : 293.4 - Experimental rating

solution:
Hidden Text: Show
Code: Select all
761492583894725361352861947513647829278953614436189275947238156189576432625314798
999668888999666688939666888934444777333347777333444471222555171225555111222255111
urhegyi
 
Posts: 539
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Re: Creating layout for jigsaw windoku

Postby urhegyi » Fri Feb 12, 2021 11:54 pm

And a last one:
Code: Select all
#1/W/B4,JS
.6.....8..5.....9...4.8.7......5.................7......3.1.8...7.....6..8.....3.
111222223111242233111544233655547773665547733655547773668447999668848999688888999

Analyze log:
Code: Select all
Eliminated candidates per Method and per Sudoku

Method   \  Sudoku |   SER |     1
                   |-------|------
Not counted elims  |     0 |   133
Naked Singles      |   0.1 |    24
Hidden Singles     |   0.2 |   105
Naked Pair    [2]  |     3 |     1
Hidden Quad   [5]  |   5.4 |     5
Locked Singles[2]  |   2.8 |    55
Locked Singles[3]  |   2.9 |     1
Locked Singles[4]  |     3 |     4
Turbot-fish   [4]  |   4.2 |     4
                   |-------|------
Eliminated Cand's  |   332 |   332
Sum(SER * Cand's)  | 239.1 | 239.1

Initial Candidates :   332
Maximum SER rating :   5.4 - Approach
Labour rating      : 239.1 - Experimental rating

solution:
Hidden Text: Show
Code: Select all
761492583258641397394286751917358426139527648546873912623915874875134269482769135
111222223111242233111544233655547773665547733655547773668447999668848999688888999
urhegyi
 
Posts: 539
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Re: Creating layout for jigsaw windoku

Postby Hajime » Sat Feb 13, 2021 3:08 pm

Nice puzzles, also for P&P solvers...
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Re: Creating layout for jigsaw windoku

Postby urhegyi » Sat Feb 13, 2021 3:30 pm

Hajime wrote:Nice puzzles, also for P&P solvers...

And now a beast for computer solvers, or advanced P&P solvers?
Code: Select all
#1/W/B4,JS
..1...5....................5..618..9.5.....7.8..931..2....................9...1..
111223333112222334111255334166255344666257444668557449688557999688777799888877999

analyze log:
Code: Select all
Eliminated candidates per Method and per Sudoku

Method   \  Sudoku |   SER |     1
                   |-------|------
Not counted elims  |     0 |    90
Naked Singles      |   0.1 |    52
Hidden Singles     |   0.2 |    49
Naked Single  [1]  |   2.5 |     6
Naked Pair    [2]  |     3 |    12
Naked Triple  [3]  |   3.6 |    17
Locked Singles[2]  |   2.8 |    61
Locked Singles[3]  |   2.9 |    21
Locked Singles[4]  |     3 |    10
WXYZ Wing     [4]  |   5.5 |     2
VWXYZ Wing    [5]  |   6.3 |     5
UVWXYZ Wing   [6]  |   6.6 |     6
TUVWXYZ Wing  [7]  |   7.5 |     2
STUVWXYZ Wing [8+] |     8 |     2
                   |-------|------
Eliminated Cand's  |   335 |   335
Sum(SER * Cand's)  |   502 |   502

Initial Candidates :   335
Maximum SER rating :     8 - Approach
Labour rating      :   502 - Experimental rating
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Re: Creating layout for jigsaw windoku

Postby urhegyi » Sat Feb 13, 2021 3:59 pm

Anyone can tackle last jigsaw + windoku with other methods currently not build in?
Perhaps law of leftovers?
Image
Attention: Windoku blocks are not colored!
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Re: Creating layout for jigsaw windoku

Postby Hajime » Sat Feb 13, 2021 4:40 pm

urhegyi wrote:Anyone can tackle last jigsaw + windoku with other methods currently not build in?
Perhaps law of leftovers?

Yep, Busy with Forcing Nets:
Code: Select all
#1/W/B4,JS
..3...7..4.......6....2........3........4........1........5....3.......2..8...3..
111223333112222334111255334166255344666257444668557449688557999688777799888877999
13 givens, not suitable for P&P solvers
Hidden Text: Show
Code: Select all
Eliminated candidates per Method and per Sudoku

Method   \  Sudoku |   SER |     1
                   |-------|------
Not counted elims  |     0 |    63
Naked Singles      |   0.1 |    55
Hidden Singles     |   0.2 |    75
Locked Singles[2]  |   2.8 |    32
Locked Singles[3]  |   2.9 |     8
Locked Singles[4]  |     3 |    15
Forcing Nets       |   9.1 |   143
                   |-------|------
Eliminated Cand's  |   391 |   391
Sum(SER * Cand's)  |1479.6 |1479.6

Initial Candidates :   391
Maximum SER rating :   9.1 - Approach
Labour rating      :1479.6 - Experimental rating
BruteForce/BackTrck: 741 guesses
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Re: Creating layout for jigsaw windoku

Postby urhegyi » Sun Feb 14, 2021 12:34 am

Forcing nets are a bit to difficult at the moment, so I created a new layout and an example which needs Quads, XY-wing, but also WXYZ-wing and some Turbot-fishes.
Code: Select all
#1/W/B4,JS
..1.9.5..............6.1.......6.....5.....7.....8.......9.3..............7.2.1..
111223333111222233141222333144455666445555566444556667888999767889999777888899777

Analyze log:
Code: Select all
Eliminated candidates per Method and per Sudoku

Method   \  Sudoku |   SER |     1
                   |-------|------
Not counted elims  |     0 |    77
Naked Singles      |   0.1 |    20
Hidden Singles     |   0.2 |   111
Naked Single  [1]  |   2.5 |     3
Naked Pair    [2]  |     3 |     5
Naked Triple  [3]  |   3.6 |    11
Naked Quad    [4]  |     5 |    18
Hidden Quad   [5]  |   5.4 |    12
Locked Singles[2]  |   2.8 |    58
Locked Singles[3]  |   2.9 |    15
Locked Singles[4]  |     3 |    12
WXYZ Wing     [4]  |   5.5 |     1
Turbot-fish   [4]  |   4.2 |     7
XY-Wing       [3]  |   4.1 |     1
                   |-------|------
Eliminated Cand's  |   351 |   351
Sum(SER * Cand's)  |   522 |   522

Initial Candidates :   351
Maximum SER rating :   5.5 - Approach
Labour rating      :   522 - Experimental rating

solution:
Hidden Text: Show
Code: Select all
761492583439758261285631947814267359652319478973584612146973825328145796597826134
111223333111222233141222333144455666445555566444556667888999767889999777888899777
urhegyi
 
Posts: 539
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Re: Creating layout for jigsaw windoku

Postby urhegyi » Sun Feb 14, 2021 1:47 am

Another combination of XYZ-wing with Turbot-fishes and a different layout.
Code: Select all
#1/W/B4,JS
..........1.....3...7...2....6...9..5..8.9..2..9...1....5...6...4.....7..........
777713333711113553711333555761155558766666668722229968222444998422499998444498888

Analyze log:
Code: Select all
Eliminated candidates per Method and per Sudoku

Method   \  Sudoku |   SER |     1
                   |-------|------
Not counted elims  |     0 |    84
Naked Singles      |   0.1 |    40
Hidden Singles     |   0.2 |    92
Naked Pair    [2]  |     3 |     4
Naked Triple  [3]  |   3.6 |    10
Naked Quad    [4]  |     5 |     1
Hidden Quad   [5]  |   5.4 |     2
Locked Singles[2]  |   2.8 |    64
Locked Singles[3]  |   2.9 |    13
Locked Singles[4]  |     3 |     4
XYZ Wing      [3]  |   4.4 |     1
Turbot-fish   [4]  |   4.2 |    10
                   |-------|------
Eliminated Cand's  |   325 |   325
Sum(SER * Cand's)  | 361.5 | 361.5

Initial Candidates :   325
Maximum SER rating :   5.4 - Approach
Labour rating      : 361.5 - Experimental rating

solution:
Hidden Text: Show
Code: Select all
761492583914256837387941256256317948573869412839674125125738694648125379492583761
777713333711113553711333555761155558766666668722229968222444998422499998444498888

This must be possible for P&P solving.
Hints for trying it yourself:
Hidden Text: Show
(UVW)XYZ-Wing |
XYZ Wing (-8)W6c7 => (-8)r9c7
2-string-Kite,SkyScraper,TurbotCrane |
2-string Kite (4) r1c8=r4c8-r2c7=r2c3 => (-4)r1c3 (-4)r1c5 |
2-string Kite (4) r2c3=r2c7-r4c8=r1c8 => (-4)r3c4 |
Skyscraper (4) r2c7=r2c3-r5c3=r5c7 => (-4)r9c7 |
Skyscraper (4) r3c5=r3c1-r6c1=r6c6 => (-4)r9c5 |
Skyscraper (4) r3c5=r3c1-r9c1=r9c9 => (-4)r4c9 |
Skyscraper (4) r4c4=r1c4-r1c8=r4c8 => (-4)r4c1 |
Skyscraper (4) r9c9=r9c1-r3c1=r3c5 => (-4)r1c9 |
Skyscraper (8) r2c3=r8c3-r8c7=r2c7 => (-8)r2c9 |
Turbot Crane (8) r3c2=r6c2-r6c1=r7c5 => (-8)r3c5
urhegyi
 
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Re: Creating layout for jigsaw windoku

Postby urhegyi » Sun Feb 14, 2021 2:32 am

And a last one:
Code: Select all
#1/W/B4,JS
..........2.....8..........4..1.7..56.7...8.45..8.6..9..........9.....7..........
777713333711113553711333555761155558766666668722229968222444998422499998444498888

Analyze log:
Code: Select all
Eliminated candidates per Method and per Sudoku

Method   \  Sudoku |   SER |     1
                   |-------|------
Not counted elims  |     0 |   111
Naked Singles      |   0.1 |    29
Hidden Singles     |   0.2 |   120
Naked Single  [1]  |   2.5 |    12
Naked Pair    [2]  |     3 |     2
Naked Triple  [3]  |   3.6 |     9
Naked Quad    [4]  |     5 |    20
Hidden Quad   [5]  |   5.4 |     4
Hidden Triple [6]  |     4 |     5
Locked Singles[2]  |   2.8 |    18
Turbot-fish   [4]  |   4.2 |     7
                   |-------|------
Eliminated Cand's  |   337 |   337
Sum(SER * Cand's)  | 316.7 | 316.7

Initial Candidates :   337
Maximum SER rating :   5.4 - Approach
Labour rating      : 316.7 - Experimental rating

solution:
Hidden Text: Show
Code: Select all
182354697729461583973582461468127935617935824531876249246719358395248176854693712
777713333711113553711333555761155558766666668722229968222444998422499998444498888
urhegyi
 
Posts: 539
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Re: Creating layout for jigsaw windoku

Postby urhegyi » Sun Feb 14, 2021 7:47 pm

Handcrafted JS layout with windoku on top:
Number of givens only 10. What's actually the minimum?
Nice for the P&P solver(pointing/claiming and a lot of naked/hidden quads)
Code: Select all
#1/W/B4,JS
.....................564...3.......8.........9.......4...215.....................
111122227122226627111666677135555677338856677338555579338888999348844449344449999

Analyze log:
Code: Select all
Eliminated candidates per Method and per Sudoku

Method   \  Sudoku |   SER |     1
                   |-------|------
Not counted elims  |     0 |   150
Naked Singles      |   0.1 |    36
Hidden Singles     |   0.2 |   129
Naked Pair    [2]  |     3 |    12
Naked Quad    [4]  |     5 |     6
Hidden Quad   [5]  |   5.4 |    16
Locked Singles[2]  |   2.8 |    93
                   |-------|------
Eliminated Cand's  |   442 |   442
Sum(SER * Cand's)  | 442.2 | 442.2

Initial Candidates :   442
Maximum SER rating :   5.4 - Approach
Labour rating      : 442.2 - Experimental rating

solution:
Hidden Text: Show
Code: Select all
761492583543178269289564371372649158128357946956831724634215897817926435495783612
111122227122226627111666677135555677338856677338555579338888999348844449344449999
urhegyi
 
Posts: 539
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Re: Creating layout for jigsaw windoku

Postby urhegyi » Sun Feb 14, 2021 8:05 pm

Same layout(12 givens) but a bit harder(with turbot-fishes):
Code: Select all
#1/W/B4,JS
..1...5......7................6.9......3.7......8.1................2......5...6..
111122227122226627111666677135555677338856677338555579338888999348844449344449999

analyze log:
Code: Select all
Eliminated candidates per Method and per Sudoku

Method   \  Sudoku |   SER |     1
                   |-------|------
Not counted elims  |     0 |   105
Naked Singles      |   0.1 |    26
Hidden Singles     |   0.2 |   138
Naked Pair    [2]  |     3 |     8
Naked Triple  [3]  |   3.6 |    13
Naked Quad    [4]  |     5 |     5
Locked Singles[2]  |   2.8 |    68
Locked Singles[3]  |   2.9 |     8
Locked Singles[4]  |     3 |     7
Turbot-fish   [4]  |   4.2 |    15
                   |-------|------
Eliminated Cand's  |   393 |   393
Sum(SER * Cand's)  | 423.6 | 423.6

Initial Candidates :   393
Maximum SER rating :     5 - Approach
Labour rating      : 423.6 - Experimental rating

solution:
Hidden Text: Show
Code: Select all
761492583543178269289564371372649158128357946956831724634215897817926435495783612
111122227122226627111666677135555677338856677338555579338888999348844449344449999
urhegyi
 
Posts: 539
Joined: 13 April 2020

Re: Creating layout for jigsaw windoku

Postby urhegyi » Sun Feb 14, 2021 8:17 pm

Same layout(12 clues) but a very hard one:
Code: Select all
#1/W/B4,JS
.............7......95.43...........1.......6...........42.58......2.............
111122227122226627111666677135555677338856677338555579338888999348844449344449999

analyze log:
Code: Select all
Eliminated candidates per Method and per Sudoku

Method   \  Sudoku |   SER |     1
                   |-------|------
Not counted elims  |     0 |   116
Naked Singles      |   0.1 |    26
Hidden Singles     |   0.2 |   109
Naked Pair    [2]  |     3 |     2
Locked Singles[2]  |   2.8 |   100
Locked Singles[3]  |   2.9 |    14
Locked Singles[4]  |     3 |    15
WXYZ Wing     [4]  |   5.5 |     2
VWXYZ Wing    [5]  |   6.3 |     1
UVWXYZ Wing   [6]  |   6.6 |     1
Turbot-fish   [4]  |   4.2 |     6
                   |-------|------
Eliminated Cand's  |   392 |   392
Sum(SER * Cand's)  | 445.1 | 445.1

Initial Candidates :   392
Maximum SER rating :   6.6 - Approach
Labour rating      : 445.1 - Experimental rating

Solution:
Hidden Text: Show
Code: Select all
761492583543178269289564371372649158128357946956831724634215897817926435495783612
111122227122226627111666677135555677338856677338555579338888999348844449344449999
urhegyi
 
Posts: 539
Joined: 13 April 2020

Re: Creating layout for jigsaw windoku

Postby urhegyi » Mon Feb 15, 2021 10:20 pm

Just created(new layout):
Code: Select all
#1/W/B4,JS
....9.....1.....3..9.....5..........1..3.4..6..........7.....6..4.....2.....5....
111233333122223363122223666111155666445555566444559999444788889747788889777778999

analyze log:
Code: Select all
Eliminated candidates per Method and per Sudoku

Method   \  Sudoku |   SER |     1
                   |-------|------
Not counted elims  |     0 |   136
Naked Singles      |   0.1 |    28
Hidden Singles     |   0.2 |   131
Hidden Quad   [5]  |   5.4 |     4
Locked Singles[2]  |   2.8 |    50
Locked Singles[3]  |   2.9 |     1
Locked Singles[4]  |     3 |     4
Turbot-fish   [4]  |   4.2 |     8
                   |-------|------
Eliminated Cand's  |   362 |   362
Sum(SER * Cand's)  | 239.1 | 239.1

Initial Candidates :   362
Maximum SER rating :   5.4 - Approach
Labour rating      : 239.1 - Experimental rating

solution:
Hidden Text: Show
Code: Select all
761492583915286437296731854534869271158324796689517342372148965843675129427953618
111233333122223363122223666111155666445555566444559999444788889747788889777778999
urhegyi
 
Posts: 539
Joined: 13 April 2020

Re: Creating layout for jigsaw windoku

Postby urhegyi » Wed Feb 17, 2021 7:09 pm

This layout seems to generate only low rated JSW's(singles,pointing/claiming) except one:
Code: Select all
#1/W/B4,JS
...4.2............326...849.8.....2...........4.....1.413...258............3.1...
111223333121223333122245553111244555666444555666448999766648889777788989777788999

Code: Select all
Eliminated candidates per Method and per Sudoku

Method   \  Sudoku |   SER |     1
                   |-------|------
Not counted elims  |     0 |    84
Naked Singles      |   0.1 |    19
Hidden Singles     |   0.2 |   142
Naked Single  [1]  |   2.5 |     1
Naked Pair    [2]  |     3 |     1
Naked Triple  [3]  |   3.6 |     3
Naked Quad    [4]  |     5 |     7
Locked Singles[2]  |   2.8 |    19
Locked Singles[3]  |   2.9 |     5
Locked Singles[4]  |     3 |     5
XYZ Wing      [3]  |   4.4 |     1
Turbot-fish   [4]  |   4.2 |     1
                   |-------|------
Eliminated Cand's  |   288 |   288
Sum(SER * Cand's)  | 172.9 | 172.9

Initial Candidates :   288
Maximum SER rating :     5 - Approach
Labour rating      : 172.9 - Experimental rating
urhegyi
 
Posts: 539
Joined: 13 April 2020


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