Jigsaw + Windoku + X

For fans of Killer Sudoku, Samurai Sudoku and other variants

Re: Jigsaw + Windoku + X

Postby urhegyi » Wed Mar 03, 2021 8:41 pm

Graphical representation of last posted example:
Image
Code: Select all
#5/WX/B4,JS/N4,JS/H16,JS/B28,JS/N28,JS
...4.............2...7....96...4.........................................8.9.....
111222233111222333111622333666644453664444555766445555778885999777888999777888999
.....2...8........5....6.......9...2.........................................4.5.
777766111777666111778646111888446622888444222885544222999554332999555333999553333
.................................................................................
111222333111242333111242333552246666555444666555547766888747999888747999888777999
.3.1.........................................6...9.......4....3........2...6.....
333355999333555999233455999222445588222444888226644888111646877111666777111667777
.....7.2.........................................5...67....4...8.............6...
999888777999888777999588877555544667555444466354446666333226111333222111332222111
urhegyi
 
Posts: 534
Joined: 13 April 2020

Re: Jigsaw + Windoku + X

Postby urhegyi » Fri Mar 05, 2021 11:08 am

A few more variations on the H-layout.
Code: Select all
#1/WX/B4,JS
...4.2............85.....626.......5.........2.......939.....27............2.1...
555881111558888811555981117353989777333999777333969747322269444226666644222266444

Code: Select all
Eliminated candidates per Method and per Sudoku

Method   \  Sudoku |   SER |     1
                   |-------|------
Not counted elims  |     0 |   118
Naked Singles      |   0.1 |    40
Hidden Singles     |   0.2 |    84
Naked Pair    [2]  |     3 |     3
Naked Quad    [4]  |     5 |     2
Pointing/Claiming  |   2.8 |    37
Locked Singles[3]  |   2.9 |    32
Locked Singles[4]  |     3 |     7
Turbot-fish   [4]  |   4.2 |     5
                   |-------|------
Eliminated Cand's  |   328 |   328
Sum(SER * Cand's)  | 278.2 | 278.2

Initial Candidates :   328
Maximum SER rating :     5 <- Approach
Labour rating      : 278.2 <- Experimental rating
Time needed        : 00:00:01.660

Code: Select all
#1/WX/B4,JS
....9......5...4..............187...............529..............3...1......4....
666633888666333888463339818464939811444999111447929151747922251777222555777225555

Code: Select all
Eliminated candidates per Method and per Sudoku

Method   \  Sudoku |   SER |     1
                   |-------|------
Not counted elims  |     0 |    87
Naked Singles      |   0.1 |    22
Hidden Singles     |   0.2 |   158
Naked Pair    [2]  |     3 |     2
Hidden Quad   [5]  |   5.4 |     6
Pointing/Claiming  |   2.8 |    69
Locked Singles[3]  |   2.9 |    18
Locked Singles[4]  |     3 |    20
Locked Singles[5]  |   3.1 |     5
WXYZ Wing     [4]  |   5.5 |     1
                   |-------|------
Eliminated Cand's  |   388 |   388
Sum(SER * Cand's)  | 398.6 | 398.6

Initial Candidates :   388
Maximum SER rating :   5.5 <- Approach
Labour rating      : 398.6 <- Experimental rating
Time needed        : 00:00:02.210
urhegyi
 
Posts: 534
Joined: 13 April 2020

Re: Jigsaw + Windoku + X

Postby urhegyi » Fri Mar 05, 2021 12:14 pm

A samurai JSWX on the variated H-layout:
Code: Select all
#5/WX/B4,JS/N4,JS/H16,JS/B28,JS/N28,JS
......5...........53.......................1.....21....593.....8.............8...
666655111666555111665555111333444422333342222334444222999888877999888777999887777
..4......................84..........9..........49.........951.........8...7.....
999333666999333666999433566888434556888444555788424555778224111777222111777222111
....5......................3.......5.........5.......3......................3....
111222333111242333111242333552246666555444666555547766888747999888747999888777999
.....6...8.........675.........57..........2..........95......................5..
111222777111222777111422877555424887555444888655434888665334999666333999666333999
...2.............2.....345....59.....7.......................26...........6......
777788999777888999778888999222444433222243333224444333111555566111555666111556666

Image
urhegyi
 
Posts: 534
Joined: 13 April 2020

Re: Jigsaw + Windoku + X

Postby creint » Fri Mar 05, 2021 12:51 pm

1to9only wrote:SE is slow and clunky, left comp running overnight, took a number of hours to rate this!!
Code: Select all
......................29....4...8...............7...3....65...................... JSWX  8 ED=20.0/0.0/2.9 -> final rating ED=12.6/11.4/2.9

111123333111222333112222233444556666445555566444455666778888899777888999777789999

My solver solves it in 20 seconds with forcing nets (+40 seconds if slow redundant fish finder is included)
Rating should be lower than SE 10.
creint
 
Posts: 324
Joined: 20 January 2018

Re: Jigsaw + Windoku + X

Postby urhegyi » Fri Mar 05, 2021 1:44 pm

A harder one:
Code: Select all
#5/WX/B4,JS/N4,JS/H16,JS/B28,JS/N28,JS
..14......2.....1....1.5..........2.......3..4......5.....2......................
666655111666555111665555111333444422333342222334444222999888877999888777999887777
.....28...9.....2....6.4....5.........6.......3......6....4......................
999333666999333666999433566888434556888444555788424555778224111777222111777222111
.................................................................................
111222333111242333111242333552246666555444666555547766888747999888747999888777999
......................1....7......4.......5.........2....2.8....7.....6...17.....
111222777111222777111422877555424887555444888655434888665334999666333999666333999
......................6.....1......3..9.......8..........1.6....9.....8......35..
777788999777888999778888999222444433222243333224444333111555566111555666111556666

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

Method   \  Sudoku |   SER |     1     2     3     4     5
                   |-------|------------------------------
Not counted elims  |     0 |   157   200   155    87   167
Naked Singles      |   0.1 |    47    40    22     9    16
Hidden Singles     |   0.2 |   117    90   169   143   138
Naked Single  [1]  |   2.5 |     5     0    28     9     0
Naked Pair    [2]  |     3 |     0     0    12     9     0
Naked Triple  [3]  |   3.6 |     6     0     4     2     0
Naked Quad    [4]  |     5 |     9     0     2     7     0
Hidden Quad   [5]  |   5.4 |     9     0     5     0     0
Hidden Triple [6]  |     4 |     0     0     4    15     0
Hidden Pair   [7]  |   3.4 |     4     0     0     0     0
Pointing/Claiming  |   2.8 |    20    37    77    51    14
Locked Singles[3]  |   2.9 |    17     3    27    15     9
Locked Singles[4]  |     3 |    15     7    32    11    23
Locked Singles[5]  |   3.1 |     6     0    12     5     6
WXYZ Wing     [4]  |   5.5 |     0     0     0     3     0
UVWXYZ Wing   [6]  |   6.6 |     0     0     0     2     0
TUVWXYZ Wing  [7]  |   7.5 |     0     0     0     1     0
Turbot-fish   [4]  |   4.2 |     1     1     3     4     0
                   |-------|------------------------------
Eliminated Cand's  |  2089 |   413   378   552   373   373
Sum(SER * Cand's)  |1803.2 | 342.5 159.5 649.1   470 182.1

Initial Candidates :  2089
Maximum SER rating :   7.5 <- Approach
Labour rating      :1803.2 <- Experimental rating
Time needed        : 00:00:17.915
urhegyi
 
Posts: 534
Joined: 13 April 2020

Re: Jigsaw + Windoku + X

Postby creint » Fri Mar 05, 2021 4:25 pm

A harder one (same solution), still not minimal:
Code: Select all
#5/WX/B4,JS/N4,JS/H16,JS/B28,JS/N28,JS
..14......2..........1.5..........2.......3.........5.....2......................
666655111666555111665555111333444422333342222334444222999888877999888777999887777
.....28.........2....6.4....5.........6.......3...........4......................
999333666999333666999433566888434556888444555788424555778224111777222111777222111
.................................................................................
111222333111242333111242333552246666555444666555547766888747999888747999888777999
......................1...........4.......5.........2....2.8....7.........17.....
111222777111222777111422877555424887555444888655434888665334999666333999666333999
......................6.....1.........9.......8..........1.6..........8......35..
777788999777888999778888999222444433222243333224444333111555566111555666111556666


And here one minimal, not symmetric.
Code: Select all
#5/WX/B4,JS/N4,JS/H16,JS/B28,JS/N28,JS
..1..................1.5..........2.......3.........5.....2......................
666655111666555111665555111333444422333342222334444222999888877999888777999887777
.....28................4....5.........6..........................................
999333666999333666999433566888434556888444555788424555778224111777222111777222111
.................................................................................
111222333111242333111242333552246666555444666555547766888747999888747999888777999
..................................4.................2....2.8..............17.....
111222777111222777111422877555424887555444888655434888665334999666333999666333999
......................6.....1.........................................8......35..
777788999777888999778888999222444433222243333224444333111555566111555666111556666
creint
 
Posts: 324
Joined: 20 January 2018

Re: Jigsaw + Windoku + X

Postby urhegyi » Sat Mar 06, 2021 3:11 pm

A JSWX with turbot-fish and xy-wings:
Code: Select all
#1/WX/B4,JS
...4.2......................1.....9.83.....65.2.....7......................9.4...
111122233111122233441225333444425533444555666775586666777588966778889999778889999

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

Method   \  Sudoku |   SER |     1
                   |-------|------
Not counted elims  |     0 |   128
Naked Singles      |   0.1 |    54
Hidden Singles     |   0.2 |    75
Naked Single  [1]  |   2.5 |     3
Naked Pair    [2]  |     3 |     5
Naked Triple  [3]  |   3.6 |     6
Naked Quad    [4]  |     5 |     6
Hidden Quad   [5]  |   5.4 |     4
Hidden Triple [6]  |     4 |     8
Pointing/Claiming  |   2.8 |    58
Locked Singles[3]  |   2.9 |    20
Locked Singles[4]  |     3 |    12
Turbot-fish   [4]  |   4.2 |     6
XY-Wing       [3]  |   4.1 |     6
                   |-------|------
Eliminated Cand's  |   391 |   391
Sum(SER * Cand's)  | 454.3 | 454.3

Initial Candidates :   391
Maximum SER rating :   5.4 <- Approach
Labour rating      : 454.3 <- Experimental rating
Time needed        : 00:00:03.246
urhegyi
 
Posts: 534
Joined: 13 April 2020

Re: Jigsaw + Windoku + X

Postby urhegyi » Sun Mar 07, 2021 7:22 pm

A JSWX with a lot of turbot-fish:
Code: Select all
#1/WX/B4,JS
..5.6.2.....5.2................3.................8................6.1.....6.9.7..
111334444113333444111334488221535888225555588222575988226677999666777799666677999

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

Method   \  Sudoku |   SER |     1
                   |-------|------
Not counted elims  |     0 |   115
Naked Singles      |   0.1 |    50
Hidden Singles     |   0.2 |    90
Naked Pair    [2]  |     3 |     5
Naked Triple  [3]  |   3.6 |     4
Hidden Quad   [5]  |   5.4 |    11
Pointing/Claiming  |   2.8 |   109
Locked Singles[3]  |   2.9 |     9
Locked Singles[4]  |     3 |     8
Locked Singles[5]  |   3.1 |     5
Turbot-fish   [4]  |   4.2 |    16
                   |-------|------
Eliminated Cand's  |   422 |   422
Sum(SER * Cand's)  | 549.8 | 549.8

Initial Candidates :   422
Maximum SER rating :   5.4 <- Approach
Labour rating      : 549.8 <- Experimental rating
Time needed        : 00:00:02.008

solution:
Hidden Text: Show
Code: Select all
175864293934512876462975138518736942291348567647289351389157624753621489826493715
111334444113333444111334488221535888225555588222575988226677999666777799666677999
urhegyi
 
Posts: 534
Joined: 13 April 2020

Re: Jigsaw + Windoku + X

Postby Hajime » Tue Mar 09, 2021 5:07 pm

A Kazagurama (Windmill) with the same layout as the "A samurai JSWX on the variated H-layout" above, except that the middle grid is WX but not JS.
An image of the easy puzzle and "Singles-Only" solvable:
Image
An image of above puzzle with pencil marks, press the link:
https://www.dropbox.com/s/80fm4p158a2468e/Kazagurama_WXJS_easy_pm.JPG?dl=0
In code:
Code: Select all
#5/WX/E6,JS/N12,JS/H18/B24,JS/K30,JS
.9.................4...1..7..........27........................462......3........
666655111666555111665555111333444422333342222334444222999888877999888777999887777
.......9..........9..5...7................58......................4..918........4
999333666999333666999433566888434556888444555788424555778224111777222111777222111
.................................................................................
6........428..5......................86................6...2..8..........4.......
111222777111222777111422877555424887555444888655434888665334999666333999666333999
........3......915........................64..........1..4...5.................9.
777788999777888999778888999222444433222243333224444333111555566111555666111556666


The next is a medium one that needs Naked/Hidden Subsets, Pointing/Claiming, Locked Singles and Turbot fishes:
SER about 5.4.
Code: Select all
#5/WX/E6,JS/N12,JS/H18/B24,JS/K30,JS
.......5......2......6....7........3427........................3.2.......5.......
666655111666555111665555111333444422333342222334444222999888877999888777999887777
.5..........5..........4.7..................7..........................9.......4.
999333666999333666999433566888434556888444555788424555778224111777222111777222111
.................................................................................
.5.......32.........................2....................3.2........8..........2.
111222777111222777111422877555424887555444888655434888665334999666333999666333999
.......9.........1..........................53.............6......5......2.......
777788999777888999778888999222444433222243333224444333111555566111555666111556666


Code: Select all
Eliminated candidates per Method and per Sudoku

Method   \  Sudoku |   SER |     1     2     3     4     5
                   |-------|------------------------------
Not counted elims  |     0 |   116   209   122   147   191
Naked Singles      |   0.1 |    24    25     2    42    49
Hidden Singles     |   0.2 |   198   172   191    85    52
Naked Single  [1]  |   2.5 |     0     0     0    12    12
Naked Pair    [2]  |     3 |     0     0     0    14    19
Naked Triple  [3]  |   3.6 |     0     0     0    14     6
Naked Quad    [4]  |     5 |     0     0     0    12    16
Hidden Quad   [5]  |   5.4 |     0     0     0    15     9
Hidden Triple [6]  |     4 |     0     0     0     7    10
Pointing/Claiming  |   2.8 |    37    23   109    53    20
Locked Singles[3]  |   2.9 |     3     3     4     4     1
Locked Singles[4]  |   3.4 |     1     2     1     0     5
Locked Singles[5]  |   3.9 |     1     1     0     0     0
Turbot-fish   [4]  |   4.2 |     0     3     4     0     3
                   |-------|------------------------------
Eliminated Cand's  |  2049 |   380   438   433   405   393
Sum(SER * Cand's)  |1523.9 | 161.6 133.3 375.4 472.6   381

Initial Candidates :  2049
Maximum SER rating :   5.4 <- Approach
Labour rating      :1523.9 <- Experimental rating
Time needed        : 00:00:16.529
SiSeSuSo Solver and Generator (version 2021-03.b)


Finally a hard one with SER > 7.0, but probably >9.0

Code: Select all
#5/WX/E6,JS/N12,JS/H18/B24,JS/K30,JS
.2.4..........54.....2..................8............87..........................
666655111666555111665555111333444422333342222334444222999888877999888777999887777
.....3.2...38..........9................2.....................6..............4...
999333666999333666999433566888434556888444555788424555778224111777222111777222111
.................................................................................
...5..............6.....................1................1..........46...1.3.....
111222777111222777111422877555424887555444888655434888665334999666333999666333999
..........................19............7..................2.....38..........4.2.
777788999777888999778888999222444433222243333224444333111555566111555666111556666

To solve the hard puzzle SiSeSuSo needs 00:01:14.455 . No X- or XY-chains, but forcing chains/nets needed.

All puzzles are symmetric and not minimal.
User avatar
Hajime
 
Posts: 707
Joined: 20 April 2018
Location: Netherlands

Re: Jigsaw + Windoku + X

Postby urhegyi » Tue Mar 09, 2021 8:32 pm

One more solvable with turbot-fish and xy-wing:
Code: Select all
#5/WX/E6,JS/N12,JS/H18/B24,JS/K30,JS
......5..........1..4.......7.....3...59...4.....................................
666655111666555111665555111333444422333342222334444222999888877999888777999887777
......9...........5...2..........................1...5.........................1.
999333666999333666999433566888434556888444555788424555778224111777222111777222111
..............................4..................................................
......................1...........................................2....7.........
111222777111222777111422877555424887555444888655434888665334999666333999666333999
........5...........................6...1...........37.......................4...
777788999777888999778888999222444433222243333224444333111555566111555666111556666
urhegyi
 
Posts: 534
Joined: 13 April 2020

Re: Jigsaw + Windoku + X

Postby urhegyi » Thu Mar 11, 2021 1:20 pm

Anyone ready to solve this JSWX with a lot of variations in solving methods?
I'm interested in the SE rating too.

Code: Select all
#1/WX/B4,JS
6..1.3..4..2...6.................................................7...3..9..2.5..7
111155666211155566221157566222757566222777888334747888334749988334449998333449999


Code: Select all
#1/WX/B4,JS
6.......4..2...6....................5..3.2..1....................7...3..9.......7
111155666211155566221157566222757566222777888334747888334749988334449998333449999


The first example is very hard, the second one needs a lot of turbot-fish.
urhegyi
 
Posts: 534
Joined: 13 April 2020

Re: Jigsaw + Windoku + X

Postby 1to9only » Thu Mar 11, 2021 10:48 pm

Code: Select all
6..1.3..4..2...6.................................................7...3..9..2.5..7 111155666211155566221157566222757566222777888334747888334749988334449998333449999 JSWX ED=7.1/2.8/2.8

Analysis results
Difficulty rating: 7.1
This Windoku Jigsaw can be solved using the following logical methods:
63 x Hidden Single (1.0-1.5)
2 x Direct Claiming (1.9)
2 x Direct Hidden Pair (2.0)
1 x Naked Single (2.3)
10 x Cage Pointing (2.6)
30 x Claiming (2.8)
27 x Generalized Intersection (2.9)
1 x Naked Pair (3.0)
1 x Generalized X-Wing (6.5)
1 x Forcing Chain (7.1)


Code: Select all
6.......4..2...6....................5..3.2..1....................7...3..9.......7 111155666211155566221157566222757566222777888334747888334749988334449998333449999 JSWX ED=6.5/1.5/1.5

Analysis results
Difficulty rating: 6.5
This Windoku Jigsaw can be solved using the following logical methods:
66 x Hidden Single (1.0-1.5)
1 x Direct Claiming (1.9)
2 x Naked Single (2.3)
9 x Cage Pointing (2.6)
8 x Claiming (2.8)
30 x Generalized Intersection (2.9)
1 x Generalized X-Wing (6.5)


I think both Generalized X-Wings involve one of the diagonals (X).
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Re: Jigsaw + Windoku + X

Postby enxio27 » Fri Mar 12, 2021 3:47 am

Awesome looking puzzles, but WAY out of my solving range.
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Re: Jigsaw + Windoku + X

Postby urhegyi » Fri Mar 12, 2021 11:23 am

A nice looking layout which is not only generating easy puzzles is thisone:
When I have more time experiments will follow.
Code: Select all
#1/WX/B4,JS
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111155222111555222115554422336654442336666644833376644883377799888777999888779999
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Re: Jigsaw + Windoku + X

Postby Hajime » Fri Mar 12, 2021 11:44 am

enxio27 wrote:Awesome looking puzzles, but WAY out of my solving range.

The first Windmill should be within your range.
Don't forget that a Windoku has 4 visible extra houses and 5 hidden.
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