An attempt to solve with POM moves:
- Code: Select all
+-------------------+--------------+-------------------+
| 9 458 458 | 7 6 2 | 458 1 3 |
| 2 3457 3457 | 39 1 8 | 4579 6 4579 |
| 1 34578 6 | 39 345 45 | 2 4578 45789 |
+-------------------+--------------+-------------------+
| 7 48 9 | 5 2 3 | 1 48 6 |
| 6 2 58 | 4 9 1 | 578 3 578 |
| 345 1 345 | 6 8 7 | 459 2 459 |
+-------------------+--------------+-------------------+
| 458 4578 4578 | 1 457 6 | 3 9 2 |
| 345 6 2 | 8 3457 9 | 457 457 1 |
| 3458 9 1 | 2 3457 45 | 6 4578 4578 |
+-------------------+--------------+-------------------+
#VT: (1 1 4 23 33 1 12 3 3)
Single-digit POM: 3 @ r1c9 r2c234 r3c245 r4c6 r5c8 r6c13 r7c7 r8c15 r9c15
Digit 3 not in 4 Templates => -3 @ r2c3 r3c5 r6c1
Digit 3 in all 4 Templates => 3 @ r6c3
Single-digit POM: 4 @ r1c237 r2c2379 r3c25689 r4c28 r5c4 r6c179 r7c1235 r8c1578 r9c15689
Digit 4 not in 23 Templates => -4 @ r3c2 r3c8 r3c9
Single-digit POM: 5 @ r1c237 r2c2379 r3c25689 r4c4 r5c379 r6c179 r7c1235 r8c1578 r9c15689
Digit 5 not in 33 Templates => -5 @ r3c2 r3c8 r3c9 r8c7 r9c9
Single-digit POM: 7 @ r1c4 r2c2379 r3c289 r4c1 r5c79 r6c6 r7c235 r8c578 r9c589
Digit 7 not in 12 Templates => -7 @ r7c5
Single-digit POM: 8 @ r1c237 r2c6 r3c289 r4c28 r5c379 r6c5 r7c123 r8c4 r9c189
Digit 8 not in 3 Templates => -8 @ r1c2 r5c9 r7c2 r7c3 r9c1
Digit 8 in all 3 Templates => 8 @ r7c1
- Code: Select all
+----------------+--------------+------------------+
| 9 45 458 | 7 6 2 | 458 1 3 |
| 2 3457 457 | 39 1 8 | 4579 6 4579 |
| 1 378 6 | 39 45 45 | 2 78 789 |
+----------------+--------------+------------------+
| 7 48 9 | 5 2 3 | 1 48 6 |
| 6 2 58 | 4 9 1 | 578 3 57 |
| 45 1 3 | 6 8 7 | 459 2 459 |
+----------------+--------------+------------------+
| 8 457 457 | 1 45 6 | 3 9 2 |
| 345 6 2 | 8 3457 9 | 47 457 1 |
| 345 9 1 | 2 3457 45 | 6 4578 478 |
+----------------+--------------+------------------+
Double-digit POM: 4 @ r1c237 r2c2379 r3c56 r4c28 r5c4 r6c179 r7c235 r8c1578 r9c15689
and POM: 5 @ r1c237 r2c2379 r3c56 r4c4 r5c379 r6c179 r7c235 r8c158 r9c1568
Digit 4 not in 5 Templates => -4 @ r2c2 r8c5 r8c8 r9c1 r9c5 r9c9
Double-digit POM: 4 @ r1c237 r2c379 r3c56 r4c28 r5c4 r6c179 r7c235 r8c17 r9c68
and POM: 8 @ r1c37 r2c6 r3c289 r4c28 r5c37 r6c5 r7c1 r8c4 r9c89
Digit 4 not in 3 Templates => -4 @ r1c7 r2c3 r7c2
Double-digit POM: 5 @ r1c237 r2c2379 r3c56 r4c4 r5c379 r6c179 r7c235 r8c158 r9c1568
and POM: 4 @ r1c23 r2c79 r3c56 r4c28 r5c4 r6c179 r7c35 r8c17 r9c68
Digit 5 not in 6 Templates => -5 @ r1c3 r6c7 r8c5 r9c5
Double-digit POM: 7 @ r1c4 r2c2379 r3c289 r4c1 r5c79 r6c6 r7c23 r8c578 r9c589
and POM: 8 @ r1c37 r2c6 r3c289 r4c28 r5c37 r6c5 r7c1 r8c4 r9c89
Digit 7 not in 8 Templates => -7 @ r2c9 r9c9
- Code: Select all
+---------------+------------+----------------+
| 9 45 48 | 7 6 2 | 58 1 3 |
| 2 357 57 | 39 1 8 | 4579 6 459 |
| 1 378 6 | 39 45 45 | 2 78 79 |
+---------------+------------+----------------+
| 7 48 9 | 5 2 3 | 1 48 6 |
| 6 2 58 | 4 9 1 | 578 3 57 |
| 45 1 3 | 6 8 7 | 49 2 459 |
+---------------+------------+----------------+
| 8 57 457 | 1 45 6 | 3 9 2 |
| 345 6 2 | 8 37 9 | 47 57 1 |
| 35 9 1 | 2 37 45 | 6 457 8 |
+---------------+------------+----------------+
Triple-digit POM: 3 @ r1c9 r2c24 r3c24 r4c6 r5c8 r6c3 r7c7 r8c15 r9c15
and POM: 7 @ r1c4 r2c237 r3c289 r4c1 r5c79 r6c6 r7c23 r8c578 r9c58
and POM: 8 @ r1c37 r2c6 r3c28 r4c28 r5c37 r6c5 r7c1 r8c4 r9c9
Digit 3 not in 2 Templates => -3 @ r2c4 r3c2
Digit 3 in all 2 Templates => 3 @ r2c2 r3c4
Triple-digit POM: 4 @ r1c23 r2c79 r3c56 r4c28 r5c4 r6c179 r7c35 r8c17 r9c68
and POM: 1 @ r1c8 r2c5 r3c1 r4c7 r5c6 r6c2 r7c4 r8c9 r9c3
and POM: 5 @ r1c27 r2c379 r3c56 r4c4 r5c379 r6c19 r7c235 r8c18 r9c168
Digit 4 not in 2 Templates => -4 @ r1c2 r3c5 r4c8 r6c1 r7c3 r8c7 r9c6
Digit 4 in all 2 Templates => 4 @ r1c3 r3c6 r4c2 r7c5 r8c1 r9c8
Triple-digit POM: 4 @ r1c3 r2c79 r3c6 r4c2 r5c4 r6c79 r7c5 r8c1 r9c8
and POM: 1 @ r1c8 r2c5 r3c1 r4c7 r5c6 r6c2 r7c4 r8c9 r9c3
and POM: 9 @ r1c1 r2c479 r3c9 r4c3 r5c5 r6c79 r7c8 r8c6 r9c2
Digit 4 not in 1 Template => -4 @ r2c9 r6c7
Digit 4 in all 1 Template => 4 @ r2c7 r6c9
Triple-digit POM: 5 @ r1c27 r2c39 r3c5 r4c4 r5c379 r6c1 r7c23 r8c8 r9c16
and POM: 1 @ r1c8 r2c5 r3c1 r4c7 r5c6 r6c2 r7c4 r8c9 r9c3
and POM: 2 @ r1c6 r2c1 r3c7 r4c5 r5c2 r6c8 r7c9 r8c3 r9c4
Digit 5 not in 2 Templates => -5 @ r5c3 r9c1
Digit 5 in all 2 Templates => 5 @ r8c8
Triple-digit POM: 5 @ r1c27 r2c39 r3c5 r4c4 r5c79 r6c1 r7c23 r8c8 r9c6
and POM: 1 @ r1c8 r2c5 r3c1 r4c7 r5c6 r6c2 r7c4 r8c9 r9c3
and POM: 7 @ r1c4 r2c3 r3c289 r4c1 r5c79 r6c6 r7c23 r8c57 r9c5
Digit 5 not in 1 Template => -5 @ r1c7 r2c3 r5c9 r7c2
Digit 5 in all 1 Template => 5 @ r2c9 r5c7 r7c3
Triple-digit POM: 7 @ r1c4 r2c3 r3c289 r4c1 r5c9 r6c6 r7c2 r8c57 r9c5
and POM: 1 @ r1c8 r2c5 r3c1 r4c7 r5c6 r6c2 r7c4 r8c9 r9c3
and POM: 2 @ r1c6 r2c1 r3c7 r4c5 r5c2 r6c8 r7c9 r8c3 r9c4
Digit 7 not in 1 Template => -7 @ r3c2 r3c9 r8c5
Digit 7 in all 1 Template => 7 @ r3c8 r9c5; stte
Note: Not sure about if not all Double-digit and Triple-digit POM moves are required to crack the puzzle.
R. Jamil