For this puzzle, my preference would be three simple steps (a skyscraper, a wing, an X-chain)
- Code: Select all
+---------------------+--------------------+---------------------+
| 9 3 4 | 27* 56 2567 | 8 1 5-2 |
| 7 8 1 | 39 39 5-2 | 25* 4 6 |
| 2 56 56 | 1 4 8 | 3 7 9 |
+---------------------+--------------------+---------------------+
| 1568 7 3 | 29* 159 4 | 256* 5689 125 |
| 158 9 258 | 6 7 3 | 4 58 125 |
| 156 4 256 | 8 159 125 | 7 569 3 |
+---------------------+--------------------+---------------------+
| 3 56 7 | 4 2 9 | 1 56 8 |
| 4 2 689 | 5 168 16 | 69 3 7 |
| 568 1 5689 | 37 368 67 | 569 2 4 |
+---------------------+--------------------+---------------------+
1. (2)r1c4 = r4c4 - r4c7 = r2c7 => -2 r1c9, r2c6; four placements & basics
- Code: Select all
+---------------------+------------------+--------------------+
| 9 3 4 | 27 6 a27 | 8 1 5 |
| 7 8 1 | 39 39 5 | 2 4 6 |
| 2 B56 A56 | 1 4 8 | 3 7 9 |
+---------------------+------------------+--------------------+
| d1568 7 3 | 29 159 4 | 56 5689 12 |
| F158 9 F258 | 6 7 3 | 4 E58 12 |
| d156 4 c26-5 | 8 159 b12 | 7 569 3 |
+---------------------+------------------+--------------------+
| 3 C56 7 | 4 2 9 | 1 D56 8 |
| 4 2 689 | 5 18 16 | 69 3 7 |
| 58-6 1 5689 | 37 38 a67 | 569 2 4 |
+---------------------+------------------+--------------------+
2. (6=
72)r19c6 - r6c6 = (2-6)r6c3 = (6)r46c1 => -6 r9c1
3. (5)r3c3 = r3c2 - r7c2 = r7c8 - r5c8 = r5c13 =>-5r6c3; ste
Otherwise a triple kraken is available to solve it in one step:
As a net:
- Code: Select all
(5)r2c7 - (5=27)b2p16 *
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- - - - - - (5)r5c89 = r5c13 - - - - - - - (5)r6c3
|| / ||
(5)r4c7 (2)r6c3 - r6c6 = r4c4 - (2=7)r1c4 *
|| \ ||
(6)r4c7 = r89c7 - r7c8 = r7c2 - r3c2 = r3c3 - (6)r6c3
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(5)r9c7 - r7c8 = r7c2 - r3c2 = r3c3 - r56c3 = r456c1 - (5)r9c1
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(6)r9c1 - (6=7)r9c6 *
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(8)r9c1 - 8r89c3 = (8-2)r5c3 = r5c9 - (2=57)r1c49 *
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=> -7 r1c6; ste