Analysis of xx-mith-te3-00128953-base.sdk
Contents
Original Sudoku
level: hard
position: 12...6....57..926.6.9..7.1..61.45.......72..1.9.8.....5...9.17........929.....5.6 initial
Autosolve
position: 12...6....57..926.6.9..7.1..61.45.......72..1.9.8.....5...9.17........929.....5.6 autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:10.734014
The following important HDP chains were detected:
* DIS # G4: 3,8 # I4: 3,8 => CTR => I4: 7,9 * PRF # G4: 3,8 + I4: 7,9 # E6: 1,3 => SOL * STA # G4: 3,8 + I4: 7,9 + E6: 1,3 * CNT 2 HDP CHAINS / 42 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 12...6....57..926.6.9..7.1..61.45.......72..1.9.8.....5...9.17........929.....5.6 | initial |
| 12...6....57..926.6.9..7.1..61.45.......72..1.9.8.....5...9.17........929.....5.6 | autosolve |
| 123456789457189263689327415261945837348672951795813624536294178874561392912738546 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (12) G1: 7,9 I1: 7,9 A4: 2,7 A6: 2,7 D4: 3,9 D5: 6,9 F6: 1,3 G5: 6,9 C7: 2,6 B8: 1,7 B9: 1,7 D7: 2,6 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) D2,E2: 1.. / D2 = 1 => 13 pairs (_) / E2 = 1 => 13 pairs (_) E6,F6: 1.. / E6 = 1 => 13 pairs (_) / F6 = 1 => 11 pairs (_) B8,B9: 1.. / B8 = 1 => 10 pairs (_) / B9 = 1 => 11 pairs (_) D3,E3: 2.. / D3 = 2 => 11 pairs (_) / E3 = 2 => 16 pairs (_) A4,A6: 2.. / A4 = 2 => 12 pairs (_) / A6 = 2 => 10 pairs (_) H4,H6: 2.. / H4 = 2 => 10 pairs (_) / H6 = 2 => 12 pairs (_) C7,C9: 2.. / C7 = 2 => 11 pairs (_) / C9 = 2 => 13 pairs (_) A4,H4: 2.. / A4 = 2 => 12 pairs (_) / H4 = 2 => 10 pairs (_) A6,H6: 2.. / A6 = 2 => 10 pairs (_) / H6 = 2 => 12 pairs (_) C7,D7: 2.. / C7 = 2 => 11 pairs (_) / D7 = 2 => 13 pairs (_) E3,E9: 2.. / E3 = 2 => 16 pairs (_) / E9 = 2 => 11 pairs (_) H1,I3: 5.. / H1 = 5 => 19 pairs (_) / I3 = 5 => 12 pairs (_) C5,C6: 5.. / C5 = 5 => 14 pairs (_) / C6 = 5 => 12 pairs (_) D8,E8: 5.. / D8 = 5 => 15 pairs (_) / E8 = 5 => 12 pairs (_) C5,H5: 5.. / C5 = 5 => 14 pairs (_) / H5 = 5 => 12 pairs (_) I3,I6: 5.. / I3 = 5 => 12 pairs (_) / I6 = 5 => 19 pairs (_) D5,E6: 6.. / D5 = 6 => 13 pairs (_) / E6 = 6 => 11 pairs (_) G5,G6: 6.. / G5 = 6 => 11 pairs (_) / G6 = 6 => 13 pairs (_) C7,C8: 6.. / C7 = 6 => 13 pairs (_) / C8 = 6 => 11 pairs (_) D5,G5: 6.. / D5 = 6 => 13 pairs (_) / G5 = 6 => 11 pairs (_) E6,G6: 6.. / E6 = 6 => 11 pairs (_) / G6 = 6 => 13 pairs (_) C7,D7: 6.. / C7 = 6 => 13 pairs (_) / D7 = 6 => 11 pairs (_) E6,E8: 6.. / E6 = 6 => 11 pairs (_) / E8 = 6 => 13 pairs (_) G1,I1: 7.. / G1 = 7 => 10 pairs (_) / I1 = 7 => 10 pairs (_) A4,A6: 7.. / A4 = 7 => 10 pairs (_) / A6 = 7 => 12 pairs (_) B8,B9: 7.. / B8 = 7 => 11 pairs (_) / B9 = 7 => 10 pairs (_) D8,D9: 7.. / D8 = 7 => 10 pairs (_) / D9 = 7 => 11 pairs (_) B8,D8: 7.. / B8 = 7 => 11 pairs (_) / D8 = 7 => 10 pairs (_) B9,D9: 7.. / B9 = 7 => 10 pairs (_) / D9 = 7 => 11 pairs (_) G1,I1: 9.. / G1 = 9 => 10 pairs (_) / I1 = 9 => 10 pairs (_) D4,D5: 9.. / D4 = 9 => 13 pairs (_) / D5 = 9 => 11 pairs (_) D5,G5: 9.. / D5 = 9 => 11 pairs (_) / G5 = 9 => 13 pairs (_) I1,I4: 9.. / I1 = 9 => 10 pairs (_) / I4 = 9 => 10 pairs (_) * DURATION: 0:00:12.695160 START: 19:52:54.508837 END: 19:53:07.203997 2025-04-06 * CP COUNT: (33) * INCONCLUSIVE * DEEP PAIR REDUCTION * DURATION: 0:00:10.559712 START: 19:53:12.999438 END: 19:53:23.559150 2025-04-06 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00128953-base-pr-002.dot * REASONING * DIS # G4: 3,8 # I4: 3,8 => CTR => I4: 7,9 * PRF # G4: 3,8 + I4: 7,9 # E6: 1,3 => SOL * STA # G4: 3,8 + I4: 7,9 + E6: 1,3 * CNT 2 HDP CHAINS / 42 HYP OPENED
Header Info
rating: 33952; r2: 831476; index: 128953
Solution
position: 123456789457189263689327415261945837348672951795813624536294178874561392912738546 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 # G4: 7,9 => UNS * INC # G4: 3,8 => UNS * INC # I4: 7,9 => UNS * INC # I4: 3,8 => UNS * INC # G4: 3,9 => UNS * INC # I4: 3,9 => UNS * INC # E6: 1,3 => UNS * INC # E6: 6 => UNS * INC # F8: 1,3 => UNS * INC # F9: 1,3 => UNS * INC # D8: 1,7 => UNS * INC # D8: 3,5,6 => UNS * INC # D9: 1,7 => UNS * INC # D9: 2,3 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # G4: 7,9 => UNS * INC # G4: 3,8 => UNS * INC # I4: 7,9 => UNS * INC # I4: 3,8 => UNS * INC # G4: 3,9 => UNS * INC # I4: 3,9 => UNS * INC # E6: 1,3 => UNS * INC # E6: 6 => UNS * INC # F8: 1,3 => UNS * INC # F9: 1,3 => UNS * INC # D8: 1,7 => UNS * INC # D8: 3,5,6 => UNS * INC # D9: 1,7 => UNS * INC # D9: 2,3 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # G4: 7,9 => UNS * INC # G4: 3,8 => UNS * INC # I4: 7,9 => UNS * INC # I4: 3,8 => UNS * INC # G4: 3,9 => UNS * INC # I4: 3,9 => UNS * INC # E6: 1,3 => UNS * INC # E6: 6 => UNS * INC # F8: 1,3 => UNS * INC # F9: 1,3 => UNS * INC # D8: 1,7 => UNS * INC # D8: 3,5,6 => UNS * INC # D9: 1,7 => UNS * INC # D9: 2,3 => UNS * INC # G4: 7,9 # D3: 4,5 => UNS * INC # G4: 7,9 # D3: 2 => UNS * INC # G4: 7,9 # H1: 4,5 => UNS * INC # G4: 7,9 # H1: 3,8 => UNS * INC # G4: 7,9 # I4: 7,9 => UNS * INC # G4: 7,9 # I4: 8 => UNS * INC # G4: 7,9 # I4: 7,9 => UNS * INC # G4: 7,9 # I4: 8 => UNS * INC # G4: 7,9 # H5: 3,4 => UNS * INC # G4: 7,9 # H6: 3,4 => UNS * INC # G4: 7,9 # I6: 3,4 => UNS * INC # G4: 7,9 # C6: 3,4 => UNS * INC # G4: 7,9 # C6: 5 => UNS * INC # G4: 7,9 # G3: 3,4 => UNS * INC # G4: 7,9 # G8: 3,4 => UNS * INC # G4: 7,9 # D8: 1,7 => UNS * INC # G4: 7,9 # D8: 5 => UNS * INC # G4: 7,9 # D9: 1,7 => UNS * INC # G4: 7,9 # D9: 2 => UNS * INC # G4: 7,9 # D8: 1,5 => UNS * INC # G4: 7,9 # D8: 7 => UNS * INC # G4: 7,9 # D9: 1,2 => UNS * INC # G4: 7,9 # D9: 7 => UNS * INC # G4: 7,9 => UNS * INC # G4: 3,8 # I4: 7,9 => UNS * DIS # G4: 3,8 # I4: 3,8 => CTR => I4: 7,9 * PRF # G4: 3,8 + I4: 7,9 # E6: 1,3 => SOL * STA # G4: 3,8 + I4: 7,9 + E6: 1,3 * CNT 41 HDP CHAINS / 42 HYP OPENED