X-sudoku for dogged human solvers

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Re: X-sudoku for dogged human solvers

Postby Hajime » Mon Jan 12, 2026 9:48 am

A nice puzzle I could not solve manually.
I got stuck within various gen.intersections.
And also never spotted the XY-wings at the end.

m_b_metcalf wrote:
Code: Select all
...........1234......5.....4.26...7..5.....4..7...18.5.....5......4186..........
has 80 chars, is missing a last dot.

A possible solution path:
Hidden Text: Show
Code: Select all
[1,1] r4c5=5 Hidden Single in row 4
[1,2] r4c2=8 Hidden Single in row 4
[1,3] r6c5=4 Hidden Single in row 6
[1,4] r1c4=1 Hidden Single in col 4
[1,5] r5c4=8 Hidden Single in col 4
[1,6] r5c1=1 Hidden Single in box 4
[1,7] r3c7=1 Hidden Single in sudokuX/
[2,8] r2c2=9 Naked Single
[3,9] r4c9=1 Hidden Single in row 4
[3,10] r6c8=2 Hidden Single in row 6
[3,11] r5c9=6 Hidden Single in box 6
[4,11] Naked/Hidden Pairs,Triplets,Quads  | NPair (39)r5c37 => (-39)r5c6 | NPair (39)c7r45 => (-39)r1c7 (-3)r7c7 (-39)r9c7 | NQuad (2379)/4568 => (-2379)r1c9 (-379)r7c3 (-2379)r9c1 | NPair (39)/46 => (-3)r8c2 | NTriple (239)/468 => (-2)r5c5
[5,12] r5c5=7 Naked Single
[5,13] r5c6=2 Naked Single
[5,14] r8c2=2 Naked Single
[6,14] Pointing, Claiming  | (7)c4,b8 => (-7)r9c6
[6,14] Generalized Intersection  | (4)/,r1,c3 => (-4)r1c3 | (2)r1,c7,\ => (-2)r7c7 | (5)\,r1,c8 => (-5)r1c8 | (6)r2,c1,/ => (-6)r9c1 | (5)/,r2,c1 => (-5)r2c1 | (5)r2,c7,b3 => (-5)r1c7 | (4)/,r7,c9 => (-4)r7c9 | (5)\,r8,c1 => (-5)r8c1 | (5)/,r9,c8 => (-5)r9c8
[7,15] r7c7=4 Naked Single
[8,16] r9c3=4 Hidden Single in col 3
[8,17] r1c9=4 Hidden Single in sudokuX/
[9,18] r3c2=4 Hidden Single in row 3
[10,18] Naked/Hidden Pairs,Triplets,Quads  | NQuad (3689)c3r3567 [HPair (57)c3r18] => (-368)r1c3 (-39)r8c3
[11,18] Pointing, Claiming  | (9)b7,c1 => (-9)r6c1
[10,18] XY-Wing  |
XY-wing [3 cells] (6=3)r1c2-(3=8)r3c3-(8=6)r7c3 => (-6)r7c2 (-6)r9c2
[11,19] r1c2=6 Hidden Single in col 2
[12,20] r2c8=6 Hidden Single in row 2
[12,21] r6c3=6 Hidden Single in col 3
[12,22] r5c3=9 Hidden Single in col 3
[12,23] r4c7=9 Hidden Single in col 7
[12,24] r8c8=5 Hidden Single in col 8
[12,25] r1c3=5 Hidden Single in box 1
[12,26] r2c7=5 Hidden Single in box 3
[12,27] r6c1=3 Hidden Single in box 4
[12,28] r4c6=3 Hidden Single in box 5
[12,29] r6c4=9 Hidden Single in box 5
[12,30] r5c7=3 Hidden Single in box 6
[12,31] r9c1=5 Hidden Single in box 7
[12,32] r7c1=6 Hidden Single in box 7
[12,33] r7c3=8 Hidden Single in box 7
[12,34] r8c1=9 Hidden Single in box 7
[13,35] r3c3=3 Naked Single
[13,36] r8c3=7 Naked Single
[13,37] r8c9=3 Naked Single
[14,38] r1c8=3 Hidden Single in row 1
[15,38] Pointing, Claiming  | (9)r1,b2 => (-9)r3c5 (-9)r3c6
[16,38] XY-Wing  |
XY-wing [3 cells] (8=2)r1c1-(2=7)r1c7-(7=8)r2c9 => (-8)r2c1 (-8)r9c9
[17,39] r2c1=7 Naked Single
[17,40] r2c9=8 Naked Single
[17,41] r3c8=9 Naked Single
[17,42] r7c8=1 Naked Single
[17,43] r9c8=8 Naked Single
[17,44] r9c9=2 Naked Single
[18,45] r1c1=8 Naked Single
[18,46] r1c5=9 Naked Single
[18,47] r1c6=7 Naked Single
[18,48] r1c7=2 Naked Single
[18,49] r3c1=2 Naked Single
[18,50] r3c6=6 Naked Single
[18,51] r3c9=7 Naked Single
[18,52] r7c2=3 Naked Single
[18,53] r7c4=7 Naked Single
[18,54] r7c5=2 Naked Single
[18,55] r7c9=9 Naked Single
[18,56] r9c2=1 Naked Single
[18,57] r9c4=3 Naked Single
[18,58] r9c5=6 Naked Single
[18,59] r9c6=9 Naked Single
[18,60] r9c7=7 Naked Single
[19,61] r3c5=8 Naked Single
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Re: X-sudoku for dogged human solvers

Postby m_b_metcalf » Mon Jan 12, 2026 11:01 am

Hajime wrote:
m_b_metcalf wrote:
Code: Select all
...........1234......5.....4.26...7..5.....4..7...18.5.....5......4186..........
has 80 chars, is missing a last dot.


Whoops, sorry. Corrected.
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m_b_metcalf
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Posts: 13669
Joined: 15 May 2006
Location: Berlin

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