Analysis of xx-mith-te3-00111096-base.sdk
Contents
Original Sudoku
level: hard
position: .2..5.......1....6.89.37...21.9..4.8.68....2.9.4...61.....9.....91.2486...2....94 initial
Autosolve
position: .2..5.......1....6.89.37...21.9..4.8.68....2.9.4...61.....9.....91.2486...2....94 autosolve
Pair Reduction Variants
Pair Reduction Analysis
The following important HDP chains were detected:
* DIS # D1: 6 => CTR => D1: 4,8 * CNT 1 HDP CHAINS / 14 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction
The following important HDP chains were detected:
* DIS # D1: 6 => CTR => D1: 4,8 * STA D1: 4,8 * CNT 1 HDP CHAINS / 28 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction Position
position: .2..5.......1....6.89.37...21.9..4.8.68....2.9.4...61.....9.....91.2486...2....94 pair_reduction
See section Pair Reduction for the HDP chains leading to this result.
Deep Pair Reduction
Time used: 0:00:13.825571
The following important HDP chains were detected:
* PRF # H2: 3,5,7 # I5: 3,5 => SOL * STA # H2: 3,5,7 + I5: 3,5 * CNT 1 HDP CHAINS / 64 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| .2..5.......1....6.89.37...21.9..4.8.68....2.9.4...61.....9.....91.2486...2....94 | initial |
| .2..5.......1....6.89.37...21.9..4.8.68....2.9.4...61.....9.....91.2486...2....94 | autosolve |
| .2..5.......1....6.89.37...21.9..4.8.68....2.9.4...61.....9.....91.2486...2....94 | pair_reduction |
| 123456789457189236689237541215963478768541923934872615346798152591324867872615394 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (6) E2: 4,8 F2: 2,9 G2: 2,9 H3: 4,5 E4: 6,7 E6: 7,8 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) A1,A3: 1.. / A1 = 1 => 8 pairs (_) / A3 = 1 => 6 pairs (_) E5,F5: 1.. / E5 = 1 => 12 pairs (_) / F5 = 1 => 9 pairs (_) E5,E9: 1.. / E5 = 1 => 12 pairs (_) / E9 = 1 => 9 pairs (_) F2,D3: 2.. / F2 = 2 => 5 pairs (_) / D3 = 2 => 7 pairs (_) D6,F6: 2.. / D6 = 2 => 5 pairs (_) / F6 = 2 => 7 pairs (_) G7,I7: 2.. / G7 = 2 => 6 pairs (_) / I7 = 2 => 8 pairs (_) F2,G2: 2.. / F2 = 2 => 5 pairs (_) / G2 = 2 => 7 pairs (_) D3,D6: 2.. / D3 = 2 => 7 pairs (_) / D6 = 2 => 5 pairs (_) F2,F6: 2.. / F2 = 2 => 5 pairs (_) / F6 = 2 => 7 pairs (_) I3,I7: 2.. / I3 = 2 => 6 pairs (_) / I7 = 2 => 8 pairs (_) D5,E5: 4.. / D5 = 4 => 11 pairs (_) / E5 = 4 => 13 pairs (_) A7,B7: 4.. / A7 = 4 => 17 pairs (_) / B7 = 4 => 6 pairs (_) B2,B7: 4.. / B2 = 4 => 17 pairs (_) / B7 = 4 => 6 pairs (_) E2,E5: 4.. / E2 = 4 => 11 pairs (_) / E5 = 4 => 13 pairs (_) E4,F4: 6.. / E4 = 6 => 6 pairs (_) / F4 = 6 => 9 pairs (_) A3,D3: 6.. / A3 = 6 => 7 pairs (_) / D3 = 6 => 5 pairs (_) C1,C7: 6.. / C1 = 6 => 7 pairs (_) / C7 = 6 => 16 pairs (_) E4,E9: 6.. / E4 = 6 => 6 pairs (_) / E9 = 6 => 9 pairs (_) H1,H2: 8.. / H1 = 8 => 13 pairs (_) / H2 = 8 => 11 pairs (_) A7,A9: 8.. / A7 = 8 => 6 pairs (_) / A9 = 8 => 6 pairs (_) E2,H2: 8.. / E2 = 8 => 13 pairs (_) / H2 = 8 => 11 pairs (_) F1,F2: 9.. / F1 = 9 => 5 pairs (_) / F2 = 9 => 7 pairs (_) G5,I5: 9.. / G5 = 9 => 8 pairs (_) / I5 = 9 => 6 pairs (_) F2,G2: 9.. / F2 = 9 => 7 pairs (_) / G2 = 9 => 5 pairs (_) I1,I5: 9.. / I1 = 9 => 8 pairs (_) / I5 = 9 => 6 pairs (_) * DURATION: 0:00:06.534883 START: 03:26:19.326312 END: 03:26:25.861195 2025-04-05 * CP COUNT: (25) * INCONCLUSIVE * DEEP PAIR REDUCTION * DURATION: 0:00:13.644569 START: 03:26:32.666602 END: 03:26:46.311171 2025-04-05 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00111096-base-pr-002.dot * REASONING * PRF # H2: 3,5,7 # I5: 3,5 => SOL * STA # H2: 3,5,7 + I5: 3,5 * CNT 1 HDP CHAINS / 64 HYP OPENED
Header Info
rating: 28276; r2: 533716; index: 111096
Solution
position: 123456789457189236689237541215963478768541923934872615346798152591324867872615394 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 # D1: 4,8 => UNS * DIS # D1: 6 => CTR => D1: 4,8 * INC # H2: 4,8 => UNS * INC # H2: 3,5,7 => UNS * INC # H2: 4,5 => UNS * INC # H2: 3,7,8 => UNS * INC # A3: 4,5 => UNS * INC # A3: 1,6 => UNS * INC # E9: 6,7 => UNS * INC # E9: 1,8 => UNS * INC # D6: 7,8 => UNS * INC # D6: 2,3,5 => UNS * INC # E9: 7,8 => UNS * INC # E9: 1,6 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # D1: 4,8 => UNS * DIS # D1: 6 => CTR => D1: 4,8 * INC D1: 4,8 # H2: 4,8 => UNS * INC D1: 4,8 # H2: 3,5,7 => UNS * INC D1: 4,8 # H2: 4,5 => UNS * INC D1: 4,8 # H2: 3,7,8 => UNS * INC D1: 4,8 # A3: 4,5 => UNS * INC D1: 4,8 # A3: 1,6 => UNS * INC D1: 4,8 # E9: 6,7 => UNS * INC D1: 4,8 # E9: 1,8 => UNS * INC D1: 4,8 # D6: 7,8 => UNS * INC D1: 4,8 # D6: 2,3,5 => UNS * INC D1: 4,8 # E9: 7,8 => UNS * INC D1: 4,8 # E9: 1,6 => UNS * INC D1: 4,8 # H1: 4,8 => UNS * INC D1: 4,8 # H1: 3,7 => UNS * INC D1: 4,8 # H2: 4,8 => UNS * INC D1: 4,8 # H2: 3,5,7 => UNS * INC D1: 4,8 # H2: 4,5 => UNS * INC D1: 4,8 # H2: 3,7,8 => UNS * INC D1: 4,8 # A3: 4,5 => UNS * INC D1: 4,8 # A3: 1,6 => UNS * INC D1: 4,8 # E9: 6,7 => UNS * INC D1: 4,8 # E9: 1,8 => UNS * INC D1: 4,8 # D6: 7,8 => UNS * INC D1: 4,8 # D6: 2,3,5 => UNS * INC D1: 4,8 # E9: 7,8 => UNS * INC D1: 4,8 # E9: 1,6 => UNS * STA D1: 4,8 * CNT 28 HDP CHAINS / 28 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # H1: 4,8 => UNS * INC # H1: 3,7 => UNS * INC # H2: 4,8 => UNS * INC # H2: 3,5,7 => UNS * INC # H2: 4,5 => UNS * INC # H2: 3,7,8 => UNS * INC # A3: 4,5 => UNS * INC # A3: 1,6 => UNS * INC # E9: 6,7 => UNS * INC # E9: 1,8 => UNS * INC # D6: 7,8 => UNS * INC # D6: 2,3,5 => UNS * INC # E9: 7,8 => UNS * INC # E9: 1,6 => UNS * INC # H1: 4,8 # H2: 4,8 => UNS * INC # H1: 4,8 # H2: 3,5,7 => UNS * INC # H1: 4,8 # H2: 4,8 => UNS * INC # H1: 4,8 # H2: 3,5,7 => UNS * INC # H1: 4,8 # H2: 4,5 => UNS * INC # H1: 4,8 # H2: 3,7,8 => UNS * INC # H1: 4,8 # A3: 4,5 => UNS * INC # H1: 4,8 # A3: 1,6 => UNS * INC # H1: 4,8 # E9: 6,7 => UNS * INC # H1: 4,8 # E9: 1,8 => UNS * INC # H1: 4,8 # D6: 7,8 => UNS * INC # H1: 4,8 # D6: 2,3,5 => UNS * INC # H1: 4,8 # E9: 7,8 => UNS * INC # H1: 4,8 # E9: 1,6 => UNS * INC # H1: 4,8 => UNS * INC # H1: 3,7 # G1: 3,7 => UNS * INC # H1: 3,7 # I1: 3,7 => UNS * INC # H1: 3,7 # H4: 3,7 => UNS * INC # H1: 3,7 # H7: 3,7 => UNS * INC # H1: 3,7 # E9: 6,8 => UNS * INC # H1: 3,7 # F9: 6,8 => UNS * INC # H1: 3,7 # E9: 6,8 => UNS * INC # H1: 3,7 # F9: 6,8 => UNS * INC # H1: 3,7 => UNS * INC # H2: 4,8 # H1: 4,8 => UNS * INC # H2: 4,8 # H1: 3,7 => UNS * INC # H2: 4,8 # H1: 4,8 => UNS * INC # H2: 4,8 # H1: 3,7 => UNS * INC # H2: 4,8 # E9: 6,7 => UNS * INC # H2: 4,8 # E9: 1,8 => UNS * INC # H2: 4,8 # E9: 7,8 => UNS * INC # H2: 4,8 # E9: 1,6 => UNS * INC # H2: 4,8 # F7: 6,8 => UNS * INC # H2: 4,8 # F7: 1,3,5 => UNS * INC # H2: 4,8 # E9: 6,8 => UNS * INC # H2: 4,8 # F9: 6,8 => UNS * INC # H2: 4,8 => UNS * INC # H2: 3,5,7 # C4: 3,5 => UNS * INC # H2: 3,5,7 # A5: 3,5 => UNS * INC # H2: 3,5,7 # B2: 3,5 => UNS * INC # H2: 3,5,7 # B7: 3,5 => UNS * INC # H2: 3,5,7 # B9: 3,5 => UNS * INC # H2: 3,5,7 # C4: 3,5 => UNS * INC # H2: 3,5,7 # H4: 3,5 => UNS * INC # H2: 3,5,7 # F7: 3,5 => UNS * INC # H2: 3,5,7 # F9: 3,5 => UNS * INC # H2: 3,5,7 # A5: 3,5 => UNS * INC # H2: 3,5,7 # G5: 3,5 => UNS * PRF # H2: 3,5,7 # I5: 3,5 => SOL * STA # H2: 3,5,7 + I5: 3,5 * CNT 63 HDP CHAINS / 64 HYP OPENED