## Jigsaw + Windoku + X

For fans of Killer Sudoku, Samurai Sudoku and other variants

### Re: Jigsaw + Windoku + X

urhegyi wrote:A nice looking layout which is not only generating easy puzzles is this one:
When I have more time experiments will follow.
Code: Select all
#1/WX/B4,JS
.................................................................................
111155222111555222115554422336654442336666644833376644883377799888777999888779999

Indeed. Only 1 possible puzzle/solution (with 123456789 in the first row):
Code: Select all
#1/WX/B4,JS
123456789798321456564789321451298673386574912279163845832617594945832167617945238
111155222111555222115554422336654442336666644833376644883377799888777999888779999
and not one extra cell solved with logical methods (only BruteForce/BackTrack found that single solution)

Hajime

Posts: 733
Joined: 20 April 2018
Location: Netherlands

### Re: Jigsaw + Windoku + X

Hajime wrote:
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.

I looked at that one again. Maybe it's doable for me. I thought that it required Turbot Fish, but apparently that was referring to another puzzle in that post.

enxio27

Posts: 532
Joined: 13 November 2007

### Re: Jigsaw + Windoku + X

enxio27 wrote:I looked at that one again. Maybe it's doable for me. I thought that it required Turbot Fish, but apparently that was referring to another puzzle in that post.
It is "Singles-Only" solvable, but pretty hard because the huge amount of houses (nonets) is dazzling.

Hajime

Posts: 733
Joined: 20 April 2018
Location: Netherlands

### Re: Jigsaw + Windoku + X

Last attempts are a bit harder:
Code: Select all
#1/WX/B4,JS
.6..9..8..43...29......................9.4......................14...72..7..4..3.
444333888443338888444333887646611177666111777661117757699222555999922255999222555
....................6...2..8.5...3.4..3...4..3.4...9.8..7...1....................
222221111222211511333665551333665557334465577344466777944466777994998888999988888
..........2.....7...9...2...5.....3...........1.....2...8...6...9.....5..........
444466111446666111444556191888556991888756999388755999383755222333777722333772222
7.......3............3.5...5.......7.9.....6.3.......5...1.7............2.......4
112222233111222333111123333445556666444555666444455566777789999777888999778888899
..........8.....4....3.5............89.2.3.61............1.7....7.....3..........
112222233111222333111123333445556666444555666444455566777789999777888999778888899
urhegyi

Posts: 539
Joined: 13 April 2020

### Re: Jigsaw + Windoku + X

In this example the number of eliminations by turbot-fish is so high I wonder if all of them are actually necessary to solve it?
Code: Select all
#1/WX/B4,JS
....9.....57...82......................716......................42...69.....5....
116666633116686633111183333221288344222284444227884944777789999775585599775555599
urhegyi

Posts: 539
Joined: 13 April 2020

### Re: Jigsaw + Windoku + X

urhegyi wrote:In this example the number of eliminations by turbot-fish is so high I wonder if all of them are actually necessary to solve it?
Code: Select all
#1/WX/B4,JS
....9.....57...82......................716......................42...69.....5....
116666633116686633111183333221288344222284444227884944777789999775585599775555599

Hi urhegyi
Not all of them are necessary, but still 10 as minimum in stead of 33 or so. See hidden text.
I will make a checkbox in version 2021-04 to stop searching per method when 1 candidate elimination is found.

Hidden Text: Show
Code: Select all
Eliminated candidates per Method and per Sudoku

Method   \  Sudoku |   SER |     1
|-------|------
Not counted elims  |     0 |   135
Naked Singles      |   0.1 |    32
Hidden Singles     |   0.2 |   102
Naked Single  [1]  |   2.5 |     3
Naked Pair    [2]  |     3 |     8
Naked Triple  [3]  |   3.6 |     9
Naked Quad    [4]  |     5 |     8
Hidden Triple [6]  |     4 |     5
Pointing/Claiming  |   2.8 |    46
Locked Singles[3]  |   2.9 |     3
Locked Singles[4]  |   3.4 |     6
Locked Singles[5]  |   3.9 |     3
Turbot-fish   [4]  |   4.2 |    10
|-------|------
Eliminated Cand's  |   370 |   370
Sum(SER * Cand's)  | 359.1 | 359.1

Initial Candidates :   370
Maximum SER rating :     5 <- Approach
Labour rating      : 359.1 <- Experimental rating
Time needed        : 00:00:12.597
SiSeSuSo Solver and Generator (version 2021-04)

Hajime

Posts: 733
Joined: 20 April 2018
Location: Netherlands

### Re: Jigsaw + Windoku + X

The Andrew Stuart Layout 25 is valid for JSWX.
Example with xyz-wing:
Code: Select all
#1/WX/B4,JS
..4...1...........8..4.9..3..........8.....5..........2..3.4..5...........6...9..
111122222113344422133344442133555442133555669788555669788886669778886699777779999
urhegyi

Posts: 539
Joined: 13 April 2020

### Re: Jigsaw + Windoku + X

New tryout for generating layouts:
Code: Select all
#1/WX/B4,JS
.61.9.58.................................................................25.4.73.
777774444767624244767622224666629924619999925319915555311115858331315858333388888

Code: Select all
#1/WX/B4,JS
..1...5..5.2...3.7...................9.....4...................1.6...8.5..5...7..
777774444767624244767622224666629924619999925319915555311115858331315858333388888

Code: Select all
#1/WX/B4,JS
7...9...3..........1.....2.............................8.....7..........6...4...1
777774444767624244767622224666629924619999925319915555311115858331315858333388888

Code: Select all
#1/WX/B4,JS
.........5.......7.........2.......9..3...6..4.......8.........1.......5.........
777774444767624244767622224666629924619999925319915555311115858331315858333388888

Code: Select all
#1/WX/B4,JS
7.......3...9.6....1.....2.............................8.....7....3.4...6.......1
777774444767624244767622224666629924619999925319915555311115858331315858333388888

other valid jswx layouts:
Code: Select all
#1/WX/B4,JS
..14.25...........9..7.3..1.........4.......2.........1..6.8..5...........92.41..
112222233111123333114222633144455663445555566744556669774888699777789999778888899

Code: Select all
#1/WX/B4,JS
............................79.8.61..5.....7..36.2.45............................
111144333111144433124444833222255833225555588772558888772666689776669999777669999

Code: Select all
#1/WX/B4,JS
....9.................3....6.......4.5..2..3.1.......9....5.................8....
115555553211558533221118333222118343227888344727899444777899944776866994766666699

Code: Select all
#1/WX/B4,JS
.........1.......7..3...4....9...2..6.8...9.4..7...1....6...8..2.......9.........
555557777215155777211115778211144888224444488222449998233699998333669698333366666

Results are rather hard.
urhegyi

Posts: 539
Joined: 13 April 2020

### Re: Jigsaw + Windoku + X

Code: Select all
#1/WX/B4,JS
.6.....8.....2.......6.5.....4...3.............6...8.....9.3.......1.....2.....3.
223334444213334444211333488211155998215555598211559998226777998666677798666677788
urhegyi

Posts: 539
Joined: 13 April 2020

### Re: Jigsaw + Windoku + X

Code: Select all
#1/WX/B4,JS
..................3...5...6....2......38.91......4....5...7...2..................
222333444122333344122334444112277999117777799111778899666555889665555889666655888

Last 2 examples have an analog solvepath.
urhegyi

Posts: 539
Joined: 13 April 2020

### Re: Jigsaw + Windoku + X

I think this is minimal?

Code: Select all
#5/WX/B4,JS/N4,JS/H16,JS/B28,JS/N28,JS
.................9.........83....2.........................4..............5......
333222222333622211333611111666665511665555544995544444999994777998884777888888777
.........7...................8....36.....................8....................7..
211144777211144777221554777221554448221654988266655988333655988333669998333669998
...2.1..............................1.......9..............................9.4...
111222333111242333111242333552246666555444666555547766888747999888747999888777999
..8....................9.....................26....3...................8.........
899966333899966333889556333889556662889456122844455122777455122777441112777441112
......3..............2.........................9....68.........1.................
777888888777488899777499999444445599445555566115566666111116333112226333222222333
urhegyi

Posts: 539
Joined: 13 April 2020

### Re: Jigsaw + Windoku + X

urhegyi wrote:I think this is minimal?

No it is not minimal, maybe it is symmetric-minimal.
Locked sets one time required in middle puzzle. (Not if you use hidden constraints)
creint

Posts: 326
Joined: 20 January 2018

### Re: Jigsaw + Windoku + X

New symmetrical layout:
1) human solvable:
Code: Select all
#1/WX/B4,JS
...................25...67............3...4............49...82...................
333388889434338999434388889444555999414555696111555666122227676111277676122227777

2) very hard:
Code: Select all
#1/WX/B4,JS
..........3.....1............4...9..8.3...4.5..6...7............7.....4..........
333388889434338999434388889444555999414555696111555666122227676111277676122227777
urhegyi

Posts: 539
Joined: 13 April 2020

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