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[ArkieTech]

Code: Select all

 *-----------*
 |8.4|.52|.1.|
 |7.2|.4.|...|
 |...|1..|.49|
 |---+---+---|
 |.3.|7..|...|
 |5..|...|.82|
 |...|..1|.3.|
 |---+---+---|
 |..7|6..|...|
 |...|..5|1.6|
 |...|.7.|...|
 *-----------*


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[Leren]

Code: Select all

*--------------------------------------------------------------------------------*
| 8       9       4        | 3       5       2        | 6       1       7        |
| 7       1       2        | 9       4       6        | 38      5       38       |
| 36      56      356      | 1       8       7        | 2       4       9        |
|--------------------------+--------------------------+--------------------------|
| 4       3       9        | 7       2       8        | 5       6       1        |
| 5       67      1        | 4       369     39       | 79      8       2        |
|a26      2678    68       | 5      b69      1        | 79      3       4        |
|--------------------------+--------------------------+--------------------------|
| 239     258     7        | 6       1       349      | 348     29      358      |
|d39-2    4       38       | 28     c39      5        | 1       7       6        |
| 1       2568    3568     | 28      7       349      | 348     29      358      |
*--------------------------------------------------------------------------------*

H Wing (2=6) r6c1 - (6=9) r6c5 - r8c5 = r8c1 => r8c1 <2>; stte

Leren

[tlanglet]

I initially found 4 or 5 ADPs but all of the combined deletions still did not solve the puzzle. A bad day for ADPs.

(7=6)r5c2-(6=8)r6c3-(8=3)r8c3-(3=9)r8c5-r556c5=r5c6-(9=7)r5c7-(7=6)r5c2 Loop => r6c12<>6, r9c3<>8, r8c1<>3, r5c5<>9

[eleven]

A bad day for ADPs.

Maybe not too bad.
DP 56 in r39c23: r3c1=6 or r9c9=5.
r3c1=6->r6c1=2
[Edit: oops, my shortcut was false)
r9c9=5->r7c2=5->r3c2=6->r5c2=7->r5c7=9->r5c6=3->r8c5=3->r8c3=8->r6c3=6->r6c1=2

However you can have it a bit easier with
(6=9)r6c5-(9=3)r8c5-(8=3)r8c3-(8=6)r6c3; r6c12<>6
(which is part of the above chain)

[tlanglet]

A bad day for ADPs.

Maybe not too bad.
DP 56 in r39c23: r3c1=6 or r9c9=5.
r3c1=6->r6c1=2
[Edit: oops, my shortcut was false)
r9c9=5->r7c2=5->r3c2=6->r5c2=7->r5c7=9->r5c6=3->r8c5=3->r8c3=8->r6c3=6->r6c1=2

However you can have it a bit easier with
(6=9)r6c5-(9=3)r8c5-(8=3)r8c3-(8=6)r6c3; r6c12<>6
(which is part of the above chain)

Guess I should have said "A bad day for ME" since I missed that long chain with 5r7c2.

Ted

[pjb]

A continuous nice loop:

(5=6)r3c2 - (6)r9c2 = (6-5)r9c3 = (5)r3c3 - r3c2: loop; r56c2 <> 6; r9c3 <> 3,8

Phil

[Leren]

I also found a similar continuous Nice loop based on the ANS XY Wing concept:

(2=6) r6c1 - (6=8) r6c3 - r8c3 = 2 r8c1 [(2389)ANS r8c135] - r6c1: loop; r56c2, r6c5 <> 6, r9c3 <> 8, r7c1 <> 2

I prefer the H wing

Leren

[Marty R.]

Code: Select all

+---------------+------------+------------+
| 8   9    4    | 3  5   2   | 6   1  7   |
| 7   1    2    | 9  4   6   | 38  5  38  |
| 36  56   356  | 1  8   7   | 2   4  9   |
+---------------+------------+------------+
| 4   3    9    | 7  2   8   | 5   6  1   |
| 5   67   1    | 4  369 39  | 79  8  2   |
| 26  2678 68   | 5  69  1   | 79  3  4   |
+---------------+------------+------------+
| 239 258  7    | 6  1   349 | 348 29 358 |
| 239 4    38   | 28 39  5   | 1   7  6   |
| 1   2568 3568 | 28 7   349 | 348 29 358 |
+---------------+------------+------------+


Play this puzzle online at the Daily Sudoku site

M-Wing on 56.

(6=5)r3c2-r3c3=(5-6)r9c3=6r9c2=>r56c2<>6