Analysis of xx-mith-te3-00028454-base.sdk
Contents
Original Sudoku
level: hard
position: 1.3.5.7.9.57....3.69..73.1....6....15.93..6.7.16...3......28......9641..96.53.... initial
Autosolve
position: 1.3.5.7.9.57....3.69..73.1....6....15.93..6.7.16...3......28......9641..96.53.... autosolve
Pair Reduction Variants
Pair Reduction Analysis
The following important HDP chains were detected:
* DIS # F2: 2,6 => CTR => F2: 1,9 * CNT 1 HDP CHAINS / 6 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction
The following important HDP chains were detected:
* DIS # F2: 2,6 => CTR => F2: 1,9 * STA F2: 1,9 * CNT 1 HDP CHAINS / 3 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction Position
position: 1.3.567.9.57....3669..73.1....6....15.93..6.7.16...3......2896....9641..96.53.... pair_reduction
See section Pair Reduction for the HDP chains leading to this result.
Deep Pair Reduction
Time used: 0:00:04.370022
The following important HDP chains were detected:
* DIS # E2: 4,8 # D3: 4,8 => CTR => D3: 2 * PRF # E2: 4,8 + D3: 2 # A2: 4,8 => SOL * STA # E2: 4,8 + D3: 2 + A2: 4,8 * CNT 2 HDP CHAINS / 15 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 1.3.5.7.9.57....3.69..73.1....6....15.93..6.7.16...3......28......9641..96.53.... | initial |
| 1.3.5.7.9.57....3.69..73.1....6....15.93..6.7.16...3......28......9641..96.53.... | autosolve |
| 1.3.567.9.57....3669..73.1....6....15.93..6.7.16...3......2896....9641..96.53.... | pair_reduction |
| 123456789457189236698273514234697851589312647716845392341728965875964123962531478 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (4) F1: 2,6 F5: 1,2 D7: 1,7 F9: 1,7 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) E5,F5: 1.. / E5 = 1 => 5 pairs (_) / F5 = 1 => 10 pairs (_) C7,C9: 1.. / C7 = 1 => 12 pairs (_) / C9 = 1 => 10 pairs (_) D7,F9: 1.. / D7 = 1 => 10 pairs (_) / F9 = 1 => 12 pairs (_) C7,D7: 1.. / C7 = 1 => 12 pairs (_) / D7 = 1 => 10 pairs (_) C9,F9: 1.. / C9 = 1 => 10 pairs (_) / F9 = 1 => 12 pairs (_) D2,D7: 1.. / D2 = 1 => 12 pairs (_) / D7 = 1 => 10 pairs (_) E2,E5: 1.. / E2 = 1 => 10 pairs (_) / E5 = 1 => 5 pairs (_) A4,B4: 3.. / A4 = 3 => 5 pairs (_) / B4 = 3 => 6 pairs (_) I7,I8: 3.. / I7 = 3 => 10 pairs (_) / I8 = 3 => 4 pairs (_) G3,I3: 5.. / G3 = 5 => 5 pairs (_) / I3 = 5 => 6 pairs (_) F4,F6: 5.. / F4 = 5 => 6 pairs (_) / F6 = 5 => 4 pairs (_) C7,C8: 5.. / C7 = 5 => 10 pairs (_) / C8 = 5 => 7 pairs (_) F1,F2: 6.. / F1 = 6 => 3 pairs (_) / F2 = 6 => 0 pairs (X) H1,I2: 6.. / H1 = 6 => 0 pairs (X) / I2 = 6 => 3 pairs (_) H7,I7: 6.. / H7 = 6 => 3 pairs (_) / I7 = 6 => 0 pairs (X) F1,H1: 6.. / F1 = 6 => 3 pairs (_) / H1 = 6 => 0 pairs (X) F2,I2: 6.. / F2 = 6 => 0 pairs (X) / I2 = 6 => 3 pairs (_) H1,H7: 6.. / H1 = 6 => 0 pairs (X) / H7 = 6 => 3 pairs (_) I2,I7: 6.. / I2 = 6 => 3 pairs (_) / I7 = 6 => 0 pairs (X) D7,F9: 7.. / D7 = 7 => 12 pairs (_) / F9 = 7 => 10 pairs (_) F9,H9: 7.. / F9 = 7 => 10 pairs (_) / H9 = 7 => 12 pairs (_) D6,D7: 7.. / D6 = 7 => 10 pairs (_) / D7 = 7 => 12 pairs (_) E2,F2: 9.. / E2 = 9 => 13 pairs (_) / F2 = 9 => 3 pairs (_) G7,H7: 9.. / G7 = 9 => 4 pairs (_) / H7 = 9 => 0 pairs (X) G4,G7: 9.. / G4 = 9 => 0 pairs (X) / G7 = 9 => 4 pairs (_) * DURATION: 0:00:06.522064 START: 06:39:26.171061 END: 06:39:32.693125 2025-04-06 * CP COUNT: (25) * CLUE FOUND * DEEP PAIR REDUCTION * DURATION: 0:00:04.247108 START: 06:39:34.967138 END: 06:39:39.214246 2025-04-06 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00028454-base-pr-002.dot * REASONING * DIS # E2: 4,8 # D3: 4,8 => CTR => D3: 2 * PRF # E2: 4,8 + D3: 2 # A2: 4,8 => SOL * STA # E2: 4,8 + D3: 2 + A2: 4,8 * CNT 2 HDP CHAINS / 15 HYP OPENED
Header Info
rating: 5905; r2: 107436; index: 28454
Solution
position: 123456789457189236698273514234697851589312647716845392341728965875964123962531478 solved
See section Deep Pair Reduction for the HDP chains leading to this result.
Appendix: Full HDP Chains
A1. Pair Reduction Analysis
Full list of HDP chains traversed:
* DIS # F2: 2,6 => CTR => F2: 1,9 * INC # F2: 1,9 => UNS * INC # H1: 2,6 => UNS * INC # H1: 4,8 => UNS * INC # F2: 1,2 => UNS * INC # F2: 6,9 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* DIS # F2: 2,6 => CTR => F2: 1,9 * INC F2: 1,9 # E2: 1,9 => UNS * INC F2: 1,9 # E2: 4,8 => UNS * STA F2: 1,9 * CNT 3 HDP CHAINS / 3 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # E2: 1,9 => UNS * INC # E2: 4,8 => UNS * INC # E2: 1,9 # A7: 3,7 => UNS * INC # E2: 1,9 # A7: 4 => UNS * INC # E2: 1,9 # B7: 3,7 => UNS * INC # E2: 1,9 # B7: 4 => UNS * INC # E2: 1,9 # F4: 5,9 => UNS * INC # E2: 1,9 # F4: 2 => UNS * INC # E2: 1,9 # F6: 5,9 => UNS * INC # E2: 1,9 # F6: 2 => UNS * INC # E2: 1,9 => UNS * INC # E2: 4,8 # D1: 4,8 => UNS * DIS # E2: 4,8 # D3: 4,8 => CTR => D3: 2 * PRF # E2: 4,8 + D3: 2 # A2: 4,8 => SOL * STA # E2: 4,8 + D3: 2 + A2: 4,8 * CNT 14 HDP CHAINS / 15 HYP OPENED