Analysis of xx-mith-te3-00094095-base.sdk
Contents
Original Sudoku
level: hard
position: .2.4.6.8..........68.73....23..74...7.826...4.468.3..2.72...45..6....917.....7..3 initial
Autosolve
position: .2.4.6.8..........68.73....23..74...7.826...4.468.3..2.72...45..6....917.....7..3 autosolve
Pair Reduction Variants
Pair Reduction Analysis
The following important HDP chains were detected:
* DIS # G9: 2 => CTR => G9: 6,8 * CNT 1 HDP CHAINS / 18 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction
The following important HDP chains were detected:
* DIS # G9: 2 => CTR => G9: 6,8 * DIS G9: 6,8 # H2: 4,9 => CTR => H2: 3,6,7 * STA G9: 6,8 + H2: 3,6,7 * CNT 2 HDP CHAINS / 27 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction Position
position: .2.4.6.8..........68.73..4.23..74...7.826...4.468.3..2.72...45..6....917.....7.23 pair_reduction
See section Pair Reduction for the HDP chains leading to this result.
Deep Pair Reduction
Time used: 0:00:03.530781
The following important HDP chains were detected:
* PRF # A8: 3,5 # F2: 1,9 => SOL * STA # A8: 3,5 + F2: 1,9 * CNT 1 HDP CHAINS / 11 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| .2.4.6.8..........68.73....23..74...7.826...4.468.3..2.72...45..6....917.....7..3 | initial |
| .2.4.6.8..........68.73....23..74...7.826...4.468.3..2.72...45..6....917.....7..3 | autosolve |
| .2.4.6.8..........68.73..4.23..74...7.826...4.468.3..2.72...45..6....917.....7.23 | pair_reduction |
| 123456789457189236689732145235974861718265394946813572372691458564328917891547623 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (6) H4: 6,9 H5: 3,9 H6: 7,9 D8: 3,5 I7: 6,8 H9: 2,6 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) E8,F8: 2.. / E8 = 2 => 7 pairs (_) / F8 = 2 => 7 pairs (_) G9,H9: 2.. / G9 = 2 => 0 pairs (X) / H9 = 2 => 7 pairs (_) E2,E8: 2.. / E2 = 2 => 7 pairs (_) / E8 = 2 => 7 pairs (_) G5,H5: 3.. / G5 = 3 => 6 pairs (_) / H5 = 3 => 6 pairs (_) D7,D8: 3.. / D7 = 3 => 12 pairs (_) / D8 = 3 => 10 pairs (_) A7,D7: 3.. / A7 = 3 => 10 pairs (_) / D7 = 3 => 12 pairs (_) H2,H5: 3.. / H2 = 3 => 6 pairs (_) / H5 = 3 => 6 pairs (_) H2,H3: 4.. / H2 = 4 => 0 pairs (X) / H3 = 4 => 6 pairs (_) E8,E9: 4.. / E8 = 4 => 8 pairs (_) / E9 = 4 => 6 pairs (_) C3,H3: 4.. / C3 = 4 => 0 pairs (X) / H3 = 4 => 6 pairs (_) D7,D9: 6.. / D7 = 6 => 17 pairs (_) / D9 = 6 => 8 pairs (_) D7,I7: 6.. / D7 = 6 => 17 pairs (_) / I7 = 6 => 8 pairs (_) C1,C2: 7.. / C1 = 7 => 6 pairs (_) / C2 = 7 => 6 pairs (_) G6,H6: 7.. / G6 = 7 => 6 pairs (_) / H6 = 7 => 6 pairs (_) C1,G1: 7.. / C1 = 7 => 6 pairs (_) / G1 = 7 => 6 pairs (_) H2,H6: 7.. / H2 = 7 => 6 pairs (_) / H6 = 7 => 6 pairs (_) E2,F2: 8.. / E2 = 8 => 8 pairs (_) / F2 = 8 => 8 pairs (_) G4,I4: 8.. / G4 = 8 => 17 pairs (_) / I4 = 8 => 8 pairs (_) I7,G9: 8.. / I7 = 8 => 17 pairs (_) / G9 = 8 => 8 pairs (_) G4,G9: 8.. / G4 = 8 => 17 pairs (_) / G9 = 8 => 8 pairs (_) I4,I7: 8.. / I4 = 8 => 8 pairs (_) / I7 = 8 => 17 pairs (_) * DURATION: 0:00:04.667335 START: 23:58:57.758495 END: 23:59:02.425830 2025-04-04 * CP COUNT: (21) * CLUE FOUND * DEEP PAIR REDUCTION * DURATION: 0:00:03.430192 START: 23:59:09.178886 END: 23:59:12.609078 2025-04-04 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00094095-base-pr-002.dot * REASONING * PRF # A8: 3,5 # F2: 1,9 => SOL * STA # A8: 3,5 + F2: 1,9 * CNT 1 HDP CHAINS / 11 HYP OPENED
Header Info
rating: 23840; r2: 485190; index: 94095
Solution
position: 123456789457189236689732145235974861718265394946813572372691458564328917891547623 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 # I4: 6,9 => UNS * INC # I4: 1,5,8 => UNS * INC # H2: 6,9 => UNS * INC # H2: 2,3,4,7 => UNS * INC # H2: 3,9 => UNS * INC # H2: 2,4,6,7 => UNS * INC # H2: 7,9 => UNS * INC # H2: 2,3,4,6 => UNS * INC # A8: 3,5 => UNS * INC # C8: 3,5 => UNS * INC # G9: 6,8 => UNS * DIS # G9: 2 => CTR => G9: 6,8 * INC # I4: 6,8 => UNS * INC # I4: 1,5,9 => UNS * INC # G9: 2,6 => UNS * INC # G9: 8 => UNS * INC # H2: 2,6 => UNS * INC # H2: 3,4,7,9 => UNS * CNT 18 HDP CHAINS / 18 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # I4: 6,9 => UNS * INC # I4: 1,5,8 => UNS * INC # H2: 6,9 => UNS * INC # H2: 2,3,4,7 => UNS * INC # H2: 3,9 => UNS * INC # H2: 2,4,6,7 => UNS * INC # H2: 7,9 => UNS * INC # H2: 2,3,4,6 => UNS * INC # A8: 3,5 => UNS * INC # C8: 3,5 => UNS * INC # G9: 6,8 => UNS * DIS # G9: 2 => CTR => G9: 6,8 * INC G9: 6,8 # I4: 6,8 => UNS * INC G9: 6,8 # I4: 1,5,9 => UNS * DIS G9: 6,8 # H2: 4,9 => CTR => H2: 3,6,7 * INC G9: 6,8 + H2: 3,6,7 # A8: 3,5 => UNS * INC G9: 6,8 + H2: 3,6,7 # C8: 3,5 => UNS * INC G9: 6,8 + H2: 3,6,7 # I4: 6,8 => UNS * INC G9: 6,8 + H2: 3,6,7 # I4: 1,5 => UNS * INC G9: 6,8 + H2: 3,6,7 # G4: 6,8 => UNS * INC G9: 6,8 + H2: 3,6,7 # G4: 1,5 => UNS * INC G9: 6,8 + H2: 3,6,7 # A8: 3,5 => UNS * INC G9: 6,8 + H2: 3,6,7 # C8: 3,5 => UNS * INC G9: 6,8 + H2: 3,6,7 # I4: 6,8 => UNS * INC G9: 6,8 + H2: 3,6,7 # I4: 1,5 => UNS * INC G9: 6,8 + H2: 3,6,7 # G4: 6,8 => UNS * INC G9: 6,8 + H2: 3,6,7 # G4: 1,5 => UNS * STA G9: 6,8 + H2: 3,6,7 * CNT 27 HDP CHAINS / 27 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # A8: 3,5 => UNS * INC # C8: 3,5 => UNS * INC # I4: 6,8 => UNS * INC # I4: 1,5 => UNS * INC # G4: 6,8 => UNS * INC # G4: 1,5 => UNS * INC # A8: 3,5 # G2: 3,7 => UNS * INC # A8: 3,5 # H2: 3,7 => UNS * INC # A8: 3,5 # E1: 1,9 => UNS * PRF # A8: 3,5 # F2: 1,9 => SOL * STA # A8: 3,5 + F2: 1,9 * CNT 10 HDP CHAINS / 11 HYP OPENED