Analysis of xx-mith-te3-00140609-base.sdk
Contents
Original Sudoku
level: hard
position: 1.3.56....57.8...668...7..5.31.78.6.7..5.3.......1..7.3.6....58.....194......562. initial
Autosolve
position: 1.3.56....57.8...668...7..5.31.7856.7..5.3.......1.37.3.6....58.....194......562. autosolve
Pair Reduction Variants
Pair Reduction Analysis
The following important HDP chains were detected:
* DIS # I9: 3 => CTR => I9: 1,7 * 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 # I9: 3 => CTR => I9: 1,7 * DIS I9: 1,7 # D8: 2,6 => CTR => D8: 7,8 * STA I9: 1,7 + D8: 7,8 * CNT 2 HDP CHAINS / 41 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction Position
position: 1.3.56....57.8...668...7..5.31.7856.76.5.3......61.37.3.6....58....61943.....562. pair_reduction
See section Pair Reduction for the HDP chains leading to this result.
Deep Pair Reduction
Time used: 0:00:05.375231
The following important HDP chains were detected:
* PRF # H5: 8,9 # D3: 2,4 => SOL * STA # H5: 8,9 + D3: 2,4 * CNT 1 HDP CHAINS / 19 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 1.3.56....57.8...668...7..5.31.78.6.7..5.3.......1..7.3.6....58.....194......562. | initial |
| 1.3.56....57.8...668...7..5.31.7856.7..5.3.......1.37.3.6....58.....194......562. | autosolve |
| 1.3.56....57.8...668...7..5.31.7856.76.5.3......61.37.3.6....58....61943.....562. | pair_reduction |
| 123456789457189236689237415231978564764523891895614372346792158572861943918345627 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (6) H1: 8,9 A6: 5,8 C6: 5,8 B8: 2,7 G7: 1,7 I8: 3,7 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) D2,D3: 1.. / D2 = 1 => 8 pairs (_) / D3 = 1 => 8 pairs (_) B7,B9: 1.. / B7 = 1 => 10 pairs (_) / B9 = 1 => 15 pairs (_) G7,I9: 1.. / G7 = 1 => 15 pairs (_) / I9 = 1 => 10 pairs (_) B7,G7: 1.. / B7 = 1 => 10 pairs (_) / G7 = 1 => 15 pairs (_) B9,I9: 1.. / B9 = 1 => 15 pairs (_) / I9 = 1 => 10 pairs (_) I5,I9: 1.. / I5 = 1 => 15 pairs (_) / I9 = 1 => 10 pairs (_) H2,H3: 3.. / H2 = 3 => 7 pairs (_) / H3 = 3 => 8 pairs (_) I8,I9: 3.. / I8 = 3 => 7 pairs (_) / I9 = 3 => 0 pairs (X) D2,H2: 3.. / D2 = 3 => 8 pairs (_) / H2 = 3 => 7 pairs (_) A6,C6: 5.. / A6 = 5 => 6 pairs (_) / C6 = 5 => 6 pairs (_) A8,C8: 5.. / A8 = 5 => 6 pairs (_) / C8 = 5 => 6 pairs (_) A6,A8: 5.. / A6 = 5 => 6 pairs (_) / A8 = 5 => 6 pairs (_) C6,C8: 5.. / C6 = 5 => 6 pairs (_) / C8 = 5 => 6 pairs (_) B5,B6: 6.. / B5 = 6 => 6 pairs (_) / B6 = 6 => 0 pairs (X) E5,D6: 6.. / E5 = 6 => 0 pairs (X) / D6 = 6 => 6 pairs (_) D8,E8: 6.. / D8 = 6 => 0 pairs (X) / E8 = 6 => 6 pairs (_) B5,E5: 6.. / B5 = 6 => 6 pairs (_) / E5 = 6 => 0 pairs (X) B6,D6: 6.. / B6 = 6 => 0 pairs (X) / D6 = 6 => 6 pairs (_) D6,D8: 6.. / D6 = 6 => 6 pairs (_) / D8 = 6 => 0 pairs (X) E5,E8: 6.. / E5 = 6 => 0 pairs (X) / E8 = 6 => 6 pairs (_) G1,I1: 7.. / G1 = 7 => 15 pairs (_) / I1 = 7 => 10 pairs (_) G1,G7: 7.. / G1 = 7 => 15 pairs (_) / G7 = 7 => 10 pairs (_) G1,H1: 8.. / G1 = 8 => 13 pairs (_) / H1 = 8 => 7 pairs (_) A6,C6: 8.. / A6 = 8 => 6 pairs (_) / C6 = 8 => 6 pairs (_) G5,H5: 8.. / G5 = 8 => 7 pairs (_) / H5 = 8 => 13 pairs (_) D8,D9: 8.. / D8 = 8 => 7 pairs (_) / D9 = 8 => 15 pairs (_) G1,G5: 8.. / G1 = 8 => 13 pairs (_) / G5 = 8 => 7 pairs (_) H1,H5: 8.. / H1 = 8 => 7 pairs (_) / H5 = 8 => 13 pairs (_) * DURATION: 0:00:08.032541 START: 21:42:09.686593 END: 21:42:17.719134 2025-04-06 * CP COUNT: (28) * CLUE FOUND * DEEP PAIR REDUCTION * DURATION: 0:00:05.242371 START: 21:42:28.522551 END: 21:42:33.764922 2025-04-06 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00140609-base-pr-002.dot * REASONING * PRF # H5: 8,9 # D3: 2,4 => SOL * STA # H5: 8,9 + D3: 2,4 * CNT 1 HDP CHAINS / 19 HYP OPENED
Header Info
rating: 37309; r2: 798510; index: 140609
Solution
position: 123456789457189236689237415231978564764523891895614372346792158572861943918345627 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 # H5: 8,9 => UNS * INC # H5: 1 => UNS * INC # A8: 5,8 => UNS * INC # A8: 2 => UNS * INC # C8: 5,8 => UNS * INC # C8: 2 => UNS * INC # B7: 2,7 => UNS * INC # B7: 1,4,9 => UNS * INC # D8: 2,7 => UNS * INC # D8: 3,6,8 => UNS * INC # I9: 1,7 => UNS * DIS # I9: 3 => CTR => I9: 1,7 * INC # B7: 1,7 => UNS * INC # B7: 2,4,9 => UNS * INC # I9: 3,7 => UNS * INC # I9: 1 => UNS * INC # D8: 3,7 => UNS * INC # D8: 2,6,8 => UNS * CNT 18 HDP CHAINS / 18 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # H5: 8,9 => UNS * INC # H5: 1 => UNS * INC # A8: 5,8 => UNS * INC # A8: 2 => UNS * INC # C8: 5,8 => UNS * INC # C8: 2 => UNS * INC # B7: 2,7 => UNS * INC # B7: 1,4,9 => UNS * INC # D8: 2,7 => UNS * INC # D8: 3,6,8 => UNS * INC # I9: 1,7 => UNS * DIS # I9: 3 => CTR => I9: 1,7 * INC I9: 1,7 # B7: 1,7 => UNS * INC I9: 1,7 # B7: 2,4,9 => UNS * INC I9: 1,7 # H5: 8,9 => UNS * INC I9: 1,7 # H5: 1 => UNS * INC I9: 1,7 # A8: 5,8 => UNS * INC I9: 1,7 # A8: 2 => UNS * INC I9: 1,7 # C8: 5,8 => UNS * INC I9: 1,7 # C8: 2 => UNS * INC I9: 1,7 # B7: 2,7 => UNS * INC I9: 1,7 # B7: 1,4,9 => UNS * INC I9: 1,7 # D8: 2,7 => UNS * INC I9: 1,7 # D8: 6,8 => UNS * DIS I9: 1,7 # D8: 2,6 => CTR => D8: 7,8 * INC I9: 1,7 + D8: 7,8 # B7: 1,7 => UNS * INC I9: 1,7 + D8: 7,8 # B7: 4,9 => UNS * INC I9: 1,7 + D8: 7,8 # B9: 1,7 => UNS * INC I9: 1,7 + D8: 7,8 # B9: 4,9 => UNS * INC I9: 1,7 + D8: 7,8 # H5: 8,9 => UNS * INC I9: 1,7 + D8: 7,8 # H5: 1 => UNS * INC I9: 1,7 + D8: 7,8 # A8: 5,8 => UNS * INC I9: 1,7 + D8: 7,8 # A8: 2 => UNS * INC I9: 1,7 + D8: 7,8 # C8: 5,8 => UNS * INC I9: 1,7 + D8: 7,8 # C8: 2 => UNS * INC I9: 1,7 + D8: 7,8 # D9: 7,8 => UNS * INC I9: 1,7 + D8: 7,8 # D9: 3,4,9 => UNS * INC I9: 1,7 + D8: 7,8 # B7: 1,7 => UNS * INC I9: 1,7 + D8: 7,8 # B7: 4,9 => UNS * INC I9: 1,7 + D8: 7,8 # B9: 1,7 => UNS * INC I9: 1,7 + D8: 7,8 # B9: 4,9 => UNS * STA I9: 1,7 + D8: 7,8 * CNT 41 HDP CHAINS / 41 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # H5: 8,9 => UNS * INC # H5: 1 => UNS * INC # A8: 5,8 => UNS * INC # A8: 2 => UNS * INC # C8: 5,8 => UNS * INC # C8: 2 => UNS * INC # D9: 7,8 => UNS * INC # D9: 3,4,9 => UNS * INC # B7: 1,7 => UNS * INC # B7: 4,9 => UNS * INC # B9: 1,7 => UNS * INC # B9: 4,9 => UNS * INC # H5: 8,9 # A2: 2,4 => UNS * INC # H5: 8,9 # C3: 2,4 => UNS * INC # H5: 8,9 # B6: 2,4 => UNS * INC # H5: 8,9 # B6: 9 => UNS * INC # H5: 8,9 # F2: 2,4 => UNS * PRF # H5: 8,9 # D3: 2,4 => SOL * STA # H5: 8,9 + D3: 2,4 * CNT 18 HDP CHAINS / 19 HYP OPENED