Interlocked Sudoku

For fans of Killer Sudoku, Samurai Sudoku and other variants

Interlocked Sudoku

Postby kakuroatk » Sat Oct 08, 2022 4:37 pm

Here is a variant that interlocks 2 Sudoku's by their square constraints.
For the blue colored Sudoku, normal Sudoku rules apply.
For the red colored Sudoku, normal Sudoku rules also apply.

Image

You can play this here: https://www.atksolutions.com/games/sudoku.html

The puzzle # is: E70952 and is rated easy.

* The puzzle # can be entered on the main screen of the game by clicking the newspaper/pencil icon on the bottom right.
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Re: Interlocked Sudoku

Postby Hajime » Sat Oct 08, 2022 7:35 pm

Nice variant. Also potential for a similar samurai.
Good chance to incorporate this variant in SiSeSuSo.
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Re: Interlocked Sudoku

Postby creint » Sat Oct 08, 2022 8:24 pm

Hajime wrote:Nice variant. Also potential for a similar samurai.
Good chance to incorporate this variant in SiSeSuSo.

Looking forward to see your pastable format.

Solution:
Hidden Text: Show
Code: Select all
4 9 7   6 2 1   3 8 5   
6 3 8   4 5 7   1 2 9   
2 5 1 2 3 8 9 8 7 4 6 4 5
    7 6 5   4 1 3   9 8 2
8 6 4 8 9 7 2 6 5 3 1 7 3
7 2 3   5 1 4   9 6 8   
9 1 5 9 8 6 3 7 4 7 2 1 6
    6 7 4   1 9 2   5 3 8
3 4 2 3 1 9 8 5 6 5 7 9 4
1 8 6   7 4 5   2 9 3   
5 7 9 1 2 3 6 3 8 1 4 5 7
    3 4 7   5 2 1   8 6 9
    8 5 6   7 4 9   3 2 1
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Re: Interlocked Sudoku

Postby kakuroatk » Sun Oct 09, 2022 9:56 pm

Glad you like the variant ... I haven't used SiSeSuSo so I don't have a format ready for that Sudoku solving program.

Here is a good sample medium and hard puzzle:

Medium Puzzle #: M80018

Image

Hard Puzzle #: H40049

Image

Link: https://www.atksolutions.com/games/sudoku.html

Interesting if anyone has any good strategies for these.
Thanks!
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Posts: 39
Joined: 17 September 2013
Location: NY

Re: Interlocked Sudoku

Postby Hajime » Sat Oct 15, 2022 10:07 am

Creint already showed the solution of #1. Only Naked and Hidden Singles needed.

Code for puzzle #1 for a future version of SiSeSuSo (paste-able)
Code: Select all
4 . 7   . . .   3 . .       
. . .   . . 7   . . .       
. . . 2 . . . 8 . . 6 4 .   
    . . .   . . .   9 . .   
8 . . . . . 2 . . . . . 3   
. 2 .   . . 4   . 6 .       
. . . 9 . . . . . 7 . . .   
    . 7 .   1 . .   . 3 .   
3 . . . . . 8 . . . . . 4   
. . 6   . . .   . . .       
. 7 9 . . 3 . . . 1 . . .   
    . . .   5 . .   . . .   
    . . 6   . . .   3 . 1   
                           
#2//B4,:000111222/D8,:000111222
4.7...3.......7...........68....2....2...4.6........7.3....8.....6.......79.3..1.
.2..8.64.......9.....2....3.9........7.1...3....8....49...........5.......6...3.1

:000111222 means : 000 row/column 1,2,3 are not shifted down/to the right, 111 means row/col 4,5,6 shifted 1 cell; 222 means shifted 2 cells.
Not yet available in the version 2022-10 of SiSeSuSo.

Code for #2 - Solution possible with Naked and Hidden pairs and triples:
Code: Select all
2 . .   . . .   . . .       
. 5 .   8 . .   6 1 .       
4 . . . . . . . . . . 8 .   
    8 . 6   . . .   . . .   
. . 5 . . . . . . 2 . . 9   
. . .   . . 8   1 . .       
. . . . 1 . . . 8 . . . .   
    . . 9   3 . .   . . .   
7 . . 7 . . . . . . 2 . .   
. . .   . . .   9 . 1       
. 2 . . . . . . . . . . 2   
    . 3 2   . . 5   . 1 .   
    . . .   . . .   . . 6   
                           
#2//B4,:000111222/D8,:000111222
2.........5.8..61.4..........5....2......81.....1..8..7.......2......9.1.2.......
.......8.8.6......5.......9..1..8.....93......7....2..........2.32..5.1.........6


Summary and possible solution path of #2

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

Method   \  Sudoku |   SER |     1     2 (#Methods)
                   |-------|---------------------
Not counted elims  |     0 |   147    98 (245)
Naked Singles      |   0.1 |    45    36 (81)
Hidden Singles     |   0.2 |    35    58 (26)
Naked Single   [1] |   2.5 |    13    21 (34)
Naked Pair     [2] |     3 |     0    21 (19)
Naked Triple   [3] |   3.6 |    39    16 (26)
Hidden Triple  [6] |     4 |     6     3 (4)
                   |-------|---------------------
Eliminated Cand's  |   538 |   285   253
Sum(SER * Cand's)  | 408.7 | 208.4 200.3

Initial Candidates :   538
Maximum SER rating :     4 <- Approach
Labour rating      : 408.7 <- Experimental rating
Time needed        : 00:00:00.492
SiSeSuSo Solver and Generator (version 2022-10)

Naked and Hidden pairs and triples:
NSext means Naked Sextet which is the same as a Hidden Triple.
Code: Select all
[1,1] g1r7c7=4 Naked Single
[1,2] g2r3c5=8 Hidden Single in row 3
[1,3] g2r6c9=8 Hidden Single in row 6
[1,4] g2r9c3=8 Hidden Single in col 3
[1,5] g2r8c4=8 Hidden Single in col 4
[1,6] g2r5c6=6 Hidden Single in col 6
[1,7] g2r7c7=8 Hidden Single in col 7
[1,8] g2r5c2=8 Hidden Single in box 4
[2,9] g1r3c7=2 Hidden Single in col 7
[2,10] g1r1c7=5 Hidden Single in col 7
[2,11] g2r3c2=1 Hidden Single in row 3
[2,12] g2r3c8=2 Hidden Single in row 3
[2,13] g2r2c2=2 Hidden Single in box 1
[2,14] g2r3c7=6 Hidden Single in box 3
[3,14] Naked/Hidden Pairs,Triplets,Quads  | NTriple (369)g1c1r256 => (-39)g1r4c1 (-36)g1r8c1 (-369)g1r9c1 | NTriple (379)g1b1e469 => (-379)g1r1c2 (-379)g1r1c3 (-379)g1r3c2 | NTriple (379)g1r3c349 => (-379)g1r3c5 (-79)g1r3c6 (-379)g1r3c8 | NTriple (378)g1r3c489 => (-8)g1r3c2 (-37)g1r3c3 | 1 (9)g1c3r3 => (-9)g1r2c3 (-9)g1r5c3 (-9)g1r9c3 | 1 (8)g1b3e8 => (-8)g1r1c8 | NTriple (347)g1r4c467 => (-347)g1r4c2 (-347)g1r4c5 | 1 (9)g1r4c5 => (-9)g1r4c2 | 1 (9)g1c5r4 => (-9)g1r1c5 (-9)g1r2c5 (-9)g1r5c5 (-9)g1r6c5 (-9)g1r7c5 (-9)g1r9c5 | 1 (9)g1b5e2 => (-9)g1r5c4 (-9)g1r6c6 | NTriple (356)g1r7c348 => (-36)g1r7c2 (-356)g1r7c5 (-5)g1r7c6 | NSext (134568)g1b7e345679 => (-18)g1r7c2 | NSext (134567)g1r9c134578 => (-1467)g1r9c6 | 1 (9)g2r1c1 => (-9)g2r1c2 (-9)g2r1c5 | NPair (49)g2r1c12 => (-4)g2r1c5 (-4)g2r1c9 | NTriple (379)g2r1c137 => (-37)g2r1c5 (-37)g2r1c9 | 1 (9)g2c1r1 => (-9)g2r8c1 (-9)g2r9c1 | NPair (49)g2b1e12 => (-4)g2r3c3 | 1 (4)g2c2r1 => (-4)g2r4c2 (-4)g2r7c2 (-4)g2r9c2 | NPair (37)g2r3c36 => (-7)g2r3c4 | NPair (37)g2c3r13 => (-3)g2r6c3 (-7)g2r7c3 | NTriple (357)g2c3r136 => (-5)g2r7c3 | NSext (124579)g2c4r234679 => (-15)g2r1c4 | 1 (4)g2c4r3 => (-4)g2r2c4 (-4)g2r9c4 | NTriple (149)g2c4r367 => (-19)g2r2c4 (-19)g2r9c4 | NPair (49)g2c4r37 => (-9)g2r6c4 | NTriple (356)g2b4e279 => (-36)g2r4c1 | NPair (56)g2b4e29 => (-6)g2r6c1 | NPair (35)g2b4e79 => (-5)g2r4c2 | 1 (1)g2b5e7 => (-1)g2r5c5 (-1)g2r6c5 | 1 (3)g2r6c1 => (-3)g2r6c8 | NPair (35)g2r6c13 => (-5)g2r6c5 (-5)g2r6c8 | NTriple (359)g2r6c135 => (-9)g2r6c8 | NPair (37)g2c6r37 => (-37)g2r2c6 (-37)g2r9c6 | 1 (6)g2b6e8 => (-6)g2r4c8 | 1 (4)g2r7c3 => (-4)g2r7c1 (-4)g2r7c5 (-4)g2r7c8 | NPair (49)g2r7c34 => (-9)g2r7c2 (-9)g2r7c5 (-9)g2r7c8 | 1 (4)g2b7e3 => (-4)g2r8c1 (-4)g2r9c1 | 1 (9)g2b8e1 => (-9)g2r8c5 (-9)g2r9c5 (-9)g2r9c6 | NPair (19)g2b8e19 => (-1)g2r7c5 (-1)g2r9c5 | NTriple (127)g2r9c146 => (-27)g2r9c5 (-7)g2r9c7 (-7)g2r9c8 | NPair (17)g2r9c16 => (-7)g2r9c4 | NSext (123459)g2r9c245678 => (-1)g2r9c1
[4,15] g1r3c3=9 Naked Single
[4,16] g1r3c6=6 Naked Single
[4,17] g1r3c8=8 Naked Single
[4,18] g1r4c5=9 Naked Single
[4,19] g1r4c6=4 Naked Single
[4,20] g1r7c2=9 Naked Single
[4,21] g1r7c3=3 Naked Single
[4,22] g1r7c4=5 Naked Single
[4,23] g1r7c6=1 Naked Single
[4,24] g1r7c8=6 Naked Single
[4,25] g1r9c4=4 Naked Single
[4,26] g1r9c6=9 Naked Single
[4,27] g2r1c2=4 Naked Single
[4,28] g2r4c2=6 Naked Single
[4,29] g2r6c5=9 Naked Single
[4,30] g2r6c8=6 Naked Single
[4,31] g2r7c2=5 Naked Single
[4,32] g2r9c1=7 Naked Single
[4,33] g2r9c2=9 Naked Single
[4,34] g2r9c4=2 Naked Single
[4,35] g2r9c6=1 Naked Single
[5,36] g1r2c1=3 Naked Single
[5,37] g1r2c3=7 Naked Single
[5,38] g1r2c6=2 Naked Single
[5,39] g1r3c2=1 Naked Single
[5,40] g1r3c5=5 Naked Single
[5,41] g1r4c2=8 Naked Single
[5,42] g1r7c5=8 Naked Single
[5,43] g2r2c6=9 Naked Single
[5,44] g2r8c1=6 Naked Single
[6,45] g1r1c2=6 Naked Single
[6,46] g1r1c3=8 Naked Single
[6,47] g1r2c5=4 Naked Single
[6,48] g1r2c9=9 Naked Single
[6,49] g1r4c1=1 Naked Single
[6,50] g1r8c2=4 Naked Single
[6,51] g1r8c3=6 Naked Single
[6,52] g1r9c1=5 Naked Single
[6,53] g1r9c3=1 Naked Single
[6,54] g2r4c8=9 Hidden Single in row 4
[6,55] g2r7c5=6 Hidden Single in row 7
[6,56] g2r8c7=9 Hidden Single in row 8
[7,57] g1r8c1=8 Naked Single
[8,58] g1r1c5=1 Hidden Single in row 1
[8,59] g1r1c4=9 Hidden Single in row 1
[8,60] g1r8c8=5 Hidden Single in row 8
[8,61] g1r9c5=6 Hidden Single in row 9
[8,62] g1r5c4=6 Hidden Single in col 4
[8,63] g1r6c6=5 Hidden Single in col 6
[8,64] g1r5c9=5 Hidden Single in col 9
[8,65] g1r6c1=6 Hidden Single in box 4
[8,66] g1r5c1=9 Hidden Single in box 4
[8,67] g1r6c8=9 Hidden Single in box 6
[8,68] g2r2c4=7 Naked Single
[8,69] g2r3c6=3 Naked Single
[8,70] g2r7c6=7 Naked Single
[8,71] g2r7c8=3 Naked Single
[8,72] g2r8c5=4 Naked Single
[8,73] g2r8c9=7 Naked Single
[8,74] g2r9c5=3 Naked Single
[9,75] g1r4c4=7 Naked Single
[9,76] g1r9c8=3 Naked Single
[9,77] g2r1c3=3 Naked Single
[9,78] g2r1c7=7 Naked Single
[9,79] g2r4c7=4 Naked Single
[9,80] g2r4c9=3 Naked Single
[9,81] g2r9c7=5 Naked Single
[9,82] g2r9c8=4 Naked Single
[10,83] g1r1c6=7 Naked Single
[10,84] g1r1c8=4 Naked Single
[10,85] g1r1c9=3 Naked Single
[10,86] g1r5c8=7 Naked Single
[10,87] g1r6c3=2 Naked Single
[10,88] g1r6c5=3 Naked Single
[10,89] g1r8c4=2 Naked Single
[10,90] g1r8c5=7 Naked Single
[10,91] g1r8c6=3 Naked Single
[10,92] g2r2c8=5 Naked Single
[10,93] g2r4c5=7 Naked Single
[10,94] g2r5c1=4 Naked Single
[10,95] g2r5c5=2 Naked Single
[10,96] g2r5c7=1 Naked Single
[10,97] g2r5c8=7 Naked Single
[10,98] g2r5c9=5 Naked Single
[11,99] g1r5c2=3 Naked Single
[11,100] g1r5c3=4 Naked Single
[11,101] g1r5c5=2 Naked Single
[11,102] g1r6c2=7 Naked Single
[11,103] g2r1c9=1 Naked Single
[11,104] g2r2c5=1 Naked Single
[11,105] g2r2c7=3 Naked Single
[11,106] g2r2c9=4 Naked Single
[12,107] g2r1c5=5 Naked Single


Summary used methods to solve #3.
Paste-able Code:
Code: Select all
#2//B4,:000111222/D8,:000111222
.....76...47...5...6................2...9...7.......3.82..5.......9.....3........
........5.....8.......4..89.5.......3...6...1................2...5...81...42.....

A Forcing Net or Forcing Chain is needed per sub-grid.

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

Method   \  Sudoku |   SER |     1     2 (#Methods)
                   |-------|---------------------
Not counted elims  |     0 |   135    87 (222)
Naked Singles      |   0.1 |    39    19 (58)
Hidden Singles     |   0.2 |    56    86 (49)
Naked Single   [1] |   2.5 |     3     6 (9)
Naked Pair     [2] |     3 |    14    11 (16)
Naked Triple   [3] |   3.6 |    14    22 (19)
Naked Quad     [4] |     5 |     5     1 (4)
Hidden Triple  [6] |     4 |     0     2 (2)
Pointing/Claiming  |   2.8 |    10    14 (24)
WXYZ Wing     [B4] |   5.5 |     1     1 (2)
Turbot-fish    [4] |   4.2 |     4     0 (4)
Forcing Nets   [2] |   7.6 |     1     1 (2)
                   |-------|---------------------
Eliminated Cand's  |   532 |   282   250
Sum(SER * Cand's)  | 409.5 | 197.9 211.6

Initial Candidates :   532
Maximum SER rating :   7.6 <- Approach
Labour rating      : 409.5 <- Experimental rating
Guesses (BF/BT;FN) :    16
Time needed        : 00:00:04.378
SiSeSuSo Solver and Generator (version 2022-10)
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Location: Fryslân

Re: Interlocked Sudoku

Postby Hajime » Sun Oct 16, 2022 3:32 pm

Image
An Interlocked Sohei-1 puzzle. Light blue are overlapping cells.
Symmetric and easy: Singles-Only. Not that easy....
Code: Select all
#4//H4,:000111222/B16,:000111222/N16,:000111222/H28,:000111222
......5..5.....1.4.6.7....2.2.3...868..6..2............7.........2.9..3.....3....
..4......1.3.....78......4.25.....3...9..4..5............1...2..1..6.9......8....
....8......1.2..5..5...7............9..4..1...4.....82.7......51.....7.6......3..
....5.....9..2.5.........9............9..1..338...4.5.9....8.3.2.7.....5..4......
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Hajime
 
Posts: 1375
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Location: Fryslân


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