## Argyle Sudoku

For fans of Killer Sudoku, Samurai Sudoku and other variants

### Argyle Sudoku

Here is a sudoku with several diagonals named "Argyle" after Brainfreeze.
It's a Sudoku with additional diagonals (grey lines) where no digit may be repeated.
A lot of seafood in it. Surely not an easy one.

Jean-Christophe

Posts: 149
Joined: 22 January 2006

Here is a walkthrough:

R6C5 = 1 (hidden single in R6)
R6C4 = 4 (hidden single in R6)
R4C6 = 6 (hidden single in R4)
R9C3 = 4 (hidden single in N7)
R5C6 = 5 (hidden single in C6)
R5C2 = 1 (hidden single in N4)
R5C3 = 3 (hidden single in R5)
R6C7 = 7, R6C2 = 2, R6C9 = 5
R4C13 forms a naked Pair on {57} within N4 -> not elsewhere in R4, R2C1
R4C58 forms a naked Pair on {28} within R4 -> not elsewhere in R4, R17C8
R3C6, R4C5, R5C4 forms a naked Triplet on {278} within D/ R1C8-R8C1 -> not elsewhere in D/ R1C8-R8C1, R3C4
R2C7, R7C2, R8C1 forms a naked Triplet on {359} within D/ R1C8-R8C1 -> not elsewhere in D/ R1C8-R8C1
R8C8 = 5 (hidden single in C8)
R8C1 = 9, R2C7 = 3, R7C2 = 5
R3C7 = 5 (hidden single in R3)
R7C6 = 3 (hidden single in R7)
2 of N6 locked in C8 -> not elsewhere in C8
7 of N9 locked in R9 -> not elsewhere in R9
7 of C6 locked in N2 -> not elsewhere in N2
7 of D/ R1C8-R8C1 locked in R3C6, R5C4. Since D/ R1C8-R8C1 = {7...} -> R3C2 <> 7
Turbot Fish on 7 with 3 links R4C1 == R4 == R4C3 .. D\ R2C1-R9C8 .. R5C4 == C4 == R7C4 -> R7C1 <> 7
R14C1 forms a hidden Pair on {57} within C1 -> R14C1 = {57}
Turbot Fish on 2 with 3 links R8C5 == R8 == R8C3 .. N7 .. R9C1 == C1 == R2C1 -> R2C5 <> 2
Turbot Fish on 7 with 3 links R7C4 == C4 == R5C4 .. D\ R2C1-R9C8 .. R9C8 == N9 == R9C9 -> R2C9 <> 7
Turbot Fish on 7 with 3 links R3C6 == D/ R1C8 .. R8C1 == R5C4 .. D\ R2C1-R9C8 .. R9C8 == N9 == R9C9 -> R3C9 <> 7
R3, C4 and D/ R1C8-R8C1, D/ R2C9-R9C2 forms a Generalized X-Wing on 7 -> not elsewhere in D/ R1C8-R8C1, D/ R2C9-R9C2
XY-Wing on 2 with R8C7 (XY), R2C1 (XZ), R8C3 (YZ) -> R12C3, R2C9, R9C1 <> 2
R2C1 = 2 (hidden single in N1)
R8C3 = 2 (hidden single in N7)
R79C1 forms a naked Pair on {16} within N7 -> not elsewhere in N7, C1
R2C39 forms a naked Pair on {89} within R2 -> not elsewhere in R2, R8C9
R8C9 = 3
R9C2 = 3 (hidden single in C2)
2 of N5 locked in C5 -> not elsewhere in C5
Turbot Fish on 8 with 3 links R2C9 == R2 == R2C3 .. D\ R1C2-R8C9 .. R4C5 == R4 == R4C8 -> R3C8 <> 8
XYZ-Wing on 6 with R7C8 (XYZ), R7C1 (XZ), R3C4 (YZ) -> R7C4 <> 6
Turbot Fish on 7 with 5 links R2C8 == R2 == R2C2 .. C2 .. R8C2 == R8 == R8C5 .. N8 .. R7C4 == C4 == R5C4 -> R9C8 <> 7
R9C9 = 7 (hidden single in N9)
R123C9 forms a naked Triplet on {289} within C9 -> not elsewhere in N3
Grouped Turbot Fish on 8 with 5 links R13C6 == C6 == R9C6 .. R9 .. R9C78 == N9 == R8C7 .. D\ R2C1-R9C8 .. R5C4 == N5 == R45C5 -> R3C5 <> 8
R23C5, R3C4 forms a naked Triplet on {469} within N2 -> not elsewhere in N2
R1C278 forms a hidden Triplet on {146} within R1 -> R1C278 = {146}
9 of N2 locked in R3 -> not elsewhere in R3
8 of C2 locked in R38C2 -> R8C7 <> 8
The rest are singles
...

Solution:

569237148
278541369
341968572
795326481
413785926
826419735
657893214
982174653
134652897
Jean-Christophe

Posts: 149
Joined: 22 January 2006