Analysis of xx-mith-te3-00044103-base.sdk
Contents
Original Sudoku
level: hard
position: ...4..78....18..368...7.1.4.45..8...38....64.79...4....3.8.7.61....41......36.47. initial
Autosolve
position: ...4..78....18..368...7.1.4.45..8...38....64.79...4....3.8.7.61....41......36.47. autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:04.872982
The following important HDP chains were detected:
* PRF # C1: 3,6 # C9: 1,2 => SOL * STA # C1: 3,6 + C9: 1,2 * CNT 1 HDP CHAINS / 20 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| ...4..78....18..368...7.1.4.45..8...38....64.79...4....3.8.7.61....41......36.47. | initial |
| ...4..78....18..368...7.1.4.45..8...38....64.79...4....3.8.7.61....41......36.47. | autosolve |
| 123456789457189236869273154245618397381792645796534812534827961678941523912365478 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (3) F1: 3,6 F3: 3,6 C5: 1,2 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) H4,H6: 1.. / H4 = 1 => 5 pairs (_) / H6 = 1 => 5 pairs (_) C5,E5: 1.. / C5 = 1 => 6 pairs (_) / E5 = 1 => 6 pairs (_) B1,B9: 1.. / B1 = 1 => 4 pairs (_) / B9 = 1 => 3 pairs (_) C1,C3: 3.. / C1 = 3 => 1 pairs (_) / C3 = 3 => 2 pairs (_) F1,F3: 3.. / F1 = 3 => 2 pairs (_) / F3 = 3 => 1 pairs (_) E4,E6: 3.. / E4 = 3 => 7 pairs (_) / E6 = 3 => 3 pairs (_) G8,I8: 3.. / G8 = 3 => 4 pairs (_) / I8 = 3 => 3 pairs (_) C1,F1: 3.. / C1 = 3 => 1 pairs (_) / F1 = 3 => 2 pairs (_) C3,F3: 3.. / C3 = 3 => 2 pairs (_) / F3 = 3 => 1 pairs (_) A2,C2: 4.. / A2 = 4 => 3 pairs (_) / C2 = 4 => 6 pairs (_) A7,C7: 4.. / A7 = 4 => 6 pairs (_) / C7 = 4 => 3 pairs (_) A2,A7: 4.. / A2 = 4 => 3 pairs (_) / A7 = 4 => 6 pairs (_) C2,C7: 4.. / C2 = 4 => 6 pairs (_) / C7 = 4 => 3 pairs (_) F1,F3: 6.. / F1 = 6 => 1 pairs (_) / F3 = 6 => 2 pairs (_) A4,C6: 6.. / A4 = 6 => 9 pairs (_) / C6 = 6 => 5 pairs (_) D4,D6: 6.. / D4 = 6 => 5 pairs (_) / D6 = 6 => 9 pairs (_) A4,D4: 6.. / A4 = 6 => 9 pairs (_) / D4 = 6 => 5 pairs (_) C6,D6: 6.. / C6 = 6 => 5 pairs (_) / D6 = 6 => 9 pairs (_) B2,C2: 7.. / B2 = 7 => 5 pairs (_) / C2 = 7 => 4 pairs (_) D4,D5: 7.. / D4 = 7 => 9 pairs (_) / D5 = 7 => 3 pairs (_) I4,I5: 7.. / I4 = 7 => 3 pairs (_) / I5 = 7 => 9 pairs (_) B8,C8: 7.. / B8 = 7 => 4 pairs (_) / C8 = 7 => 5 pairs (_) D4,I4: 7.. / D4 = 7 => 9 pairs (_) / I4 = 7 => 3 pairs (_) D5,I5: 7.. / D5 = 7 => 3 pairs (_) / I5 = 7 => 9 pairs (_) B2,B8: 7.. / B2 = 7 => 5 pairs (_) / B8 = 7 => 4 pairs (_) C2,C8: 7.. / C2 = 7 => 4 pairs (_) / C8 = 7 => 5 pairs (_) G6,I6: 8.. / G6 = 8 => 3 pairs (_) / I6 = 8 => 3 pairs (_) C8,C9: 8.. / C8 = 8 => 6 pairs (_) / C9 = 8 => 5 pairs (_) C9,I9: 8.. / C9 = 8 => 5 pairs (_) / I9 = 8 => 6 pairs (_) G6,G8: 8.. / G6 = 8 => 3 pairs (_) / G8 = 8 => 3 pairs (_) * DURATION: 0:00:07.059436 START: 14:16:48.807979 END: 14:16:55.867415 2025-04-04 * CP COUNT: (30) * INCONCLUSIVE * DEEP PAIR REDUCTION * DURATION: 0:00:04.692169 START: 14:16:58.762598 END: 14:17:03.454767 2025-04-04 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00044103-base-pr-002.dot * REASONING * PRF # C1: 3,6 # C9: 1,2 => SOL * STA # C1: 3,6 + C9: 1,2 * CNT 1 HDP CHAINS / 20 HYP OPENED
Header Info
rating: 9122; r2: 183220; index: 44103
Solution
position: 123456789457189236869273154245618397381792645796534812534827961678941523912365478 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:
* INC # C1: 3,6 => UNS * INC # C1: 1,2,9 => UNS * INC # C3: 3,6 => UNS * INC # C3: 2,9 => UNS * INC # A4: 1,2 => UNS * INC # C6: 1,2 => UNS * INC # E5: 1,2 => UNS * INC # E5: 5,9 => UNS * INC # C1: 1,2 => UNS * INC # C9: 1,2 => UNS * CNT 10 HDP CHAINS / 10 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # C1: 3,6 => UNS * INC # C1: 1,2,9 => UNS * INC # C3: 3,6 => UNS * INC # C3: 2,9 => UNS * INC # A4: 1,2 => UNS * INC # C6: 1,2 => UNS * INC # E5: 1,2 => UNS * INC # E5: 5,9 => UNS * INC # C1: 1,2 => UNS * INC # C9: 1,2 => UNS * CNT 10 HDP CHAINS / 10 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # C1: 3,6 => UNS * INC # C1: 1,2,9 => UNS * INC # C3: 3,6 => UNS * INC # C3: 2,9 => UNS * INC # A4: 1,2 => UNS * INC # C6: 1,2 => UNS * INC # E5: 1,2 => UNS * INC # E5: 5,9 => UNS * INC # C1: 1,2 => UNS * INC # C9: 1,2 => UNS * INC # C1: 3,6 # C3: 3,6 => UNS * INC # C1: 3,6 # C3: 2,9 => UNS * INC # C1: 3,6 # C3: 3,6 => UNS * INC # C1: 3,6 # C3: 2,9 => UNS * INC # C1: 3,6 # A4: 1,2 => UNS * INC # C1: 3,6 # C6: 1,2 => UNS * INC # C1: 3,6 # E5: 1,2 => UNS * INC # C1: 3,6 # E5: 5,9 => UNS * PRF # C1: 3,6 # C9: 1,2 => SOL * STA # C1: 3,6 + C9: 1,2 * CNT 19 HDP CHAINS / 20 HYP OPENED