Analysis of xx-mith-te3-00063877-base.sdk
Contents
Original Sudoku
level: hard
position: ...4.....4...89...68.73..4....8.39..7.896.4..93..476...7....864....7.3.2...3...5. initial
Autosolve
position: ...4.6...4...89..668.73..4....8.39..7.896.4..93..476...7....864...67.3.2...3...5. autosolve
Pair Reduction Variants
Pair Reduction Analysis
The following important HDP chains were detected:
* DIS # I9: 9 => CTR => I9: 1,7 * CNT 1 HDP CHAINS / 20 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction
The following important HDP chains were detected:
* DIS # I9: 9 => CTR => I9: 1,7 * STA I9: 1,7 * CNT 1 HDP CHAINS / 40 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction Position
position: ...4.6...4...89..668.73..4....8.39..7.896.4..93..476...7....864...67.392...3...5. pair_reduction
See section Pair Reduction for the HDP chains leading to this result.
Deep Pair Reduction
Time used: 0:00:06.723251
The following important HDP chains were detected:
* DIS # I1: 1,9 # C1: 1,9 => CTR => C1: 2,3,5,7 * PRF # I1: 1,9 + C1: 2,3,5,7 # B1: 2,5 => SOL * STA # I1: 1,9 + C1: 2,3,5,7 + B1: 2,5 * CNT 2 HDP CHAINS / 25 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| ...4.....4...89...68.73..4....8.39..7.896.4..93..476...7....864....7.3.2...3...5. | initial |
| ...4.6...4...89..668.73..4....8.39..7.896.4..93..476...7....864...67.3.2...3...5. | autosolve |
| ...4.6...4...89..668.73..4....8.39..7.896.4..93..476...7....864...67.392...3...5. | pair_reduction |
| 123456789457189236689732541264813975718965423935247618372591864541678392896324157 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (7) I3: 1,9 B4: 4,6 C4: 4,6 F8: 4,8 F9: 4,8 H8: 1,9 G9: 1,7 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) H5,I5: 3.. / H5 = 3 => 12 pairs (_) / I5 = 3 => 8 pairs (_) A7,C7: 3.. / A7 = 3 => 9 pairs (_) / C7 = 3 => 10 pairs (_) C2,H2: 3.. / C2 = 3 => 12 pairs (_) / H2 = 3 => 8 pairs (_) A1,A7: 3.. / A1 = 3 => 10 pairs (_) / A7 = 3 => 9 pairs (_) I1,I5: 3.. / I1 = 3 => 12 pairs (_) / I5 = 3 => 8 pairs (_) B4,C4: 4.. / B4 = 4 => 5 pairs (_) / C4 = 4 => 5 pairs (_) F8,F9: 4.. / F8 = 4 => 8 pairs (_) / F9 = 4 => 6 pairs (_) B4,C4: 6.. / B4 = 6 => 5 pairs (_) / C4 = 6 => 5 pairs (_) B9,C9: 6.. / B9 = 6 => 5 pairs (_) / C9 = 6 => 5 pairs (_) B4,B9: 6.. / B4 = 6 => 5 pairs (_) / B9 = 6 => 5 pairs (_) C4,C9: 6.. / C4 = 6 => 5 pairs (_) / C9 = 6 => 5 pairs (_) C1,C2: 7.. / C1 = 7 => 7 pairs (_) / C2 = 7 => 8 pairs (_) H4,I4: 7.. / H4 = 7 => 9 pairs (_) / I4 = 7 => 13 pairs (_) G9,I9: 7.. / G9 = 7 => 12 pairs (_) / I9 = 7 => 11 pairs (_) H1,I1: 8.. / H1 = 8 => 11 pairs (_) / I1 = 8 => 9 pairs (_) H6,I6: 8.. / H6 = 8 => 9 pairs (_) / I6 = 8 => 11 pairs (_) A8,A9: 8.. / A8 = 8 => 8 pairs (_) / A9 = 8 => 6 pairs (_) F8,F9: 8.. / F8 = 8 => 6 pairs (_) / F9 = 8 => 8 pairs (_) A8,F8: 8.. / A8 = 8 => 8 pairs (_) / F8 = 8 => 6 pairs (_) A9,F9: 8.. / A9 = 8 => 6 pairs (_) / F9 = 8 => 8 pairs (_) H1,H6: 8.. / H1 = 8 => 11 pairs (_) / H6 = 8 => 9 pairs (_) I1,I6: 8.. / I1 = 8 => 9 pairs (_) / I6 = 8 => 11 pairs (_) E7,E9: 9.. / E7 = 9 => 8 pairs (_) / E9 = 9 => 9 pairs (_) H8,I9: 9.. / H8 = 9 => 10 pairs (_) / I9 = 9 => 0 pairs (X) C3,I3: 9.. / C3 = 9 => 0 pairs (*) / I3 = 9 => 0 pairs (X) C7,E7: 9.. / C7 = 9 => 9 pairs (_) / E7 = 9 => 8 pairs (_) H1,H8: 9.. / H1 = 9 => 0 pairs (X) / H8 = 9 => 10 pairs (_) * DURATION: 0:00:08.906476 START: 09:42:37.333621 END: 09:42:46.240097 2025-04-06 * CP COUNT: (27) * SOLUTION FOUND * DEEP PAIR REDUCTION * DURATION: 0:00:06.571846 START: 09:42:58.191060 END: 09:43:04.762906 2025-04-06 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00063877-base-pr-002.dot * REASONING * DIS # I1: 1,9 # C1: 1,9 => CTR => C1: 2,3,5,7 * PRF # I1: 1,9 + C1: 2,3,5,7 # B1: 2,5 => SOL * STA # I1: 1,9 + C1: 2,3,5,7 + B1: 2,5 * CNT 2 HDP CHAINS / 25 HYP OPENED
Header Info
rating: 14173; r2: 646211; index: 63877
Solution
position: 123456789457189236689732541264813975718965423935247618372591864541678392896324157 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 # H1: 1,9 => UNS * INC # I1: 1,9 => UNS * INC # C3: 1,9 => UNS * INC # C3: 2,5 => UNS * INC # I9: 1,9 => UNS * INC # I9: 7 => UNS * INC # B9: 4,6 => UNS * INC # B9: 1,2,9 => UNS * INC # C9: 4,6 => UNS * INC # C9: 1,2,9 => UNS * INC # I9: 1,9 => UNS * INC # I9: 7 => UNS * INC # B8: 1,9 => UNS * INC # C8: 1,9 => UNS * INC # H1: 1,9 => UNS * INC # H1: 3,7,8 => UNS * INC # I9: 1,7 => UNS * DIS # I9: 9 => CTR => I9: 1,7 * INC # G1: 1,7 => UNS * INC # G2: 1,7 => UNS * CNT 20 HDP CHAINS / 20 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # H1: 1,9 => UNS * INC # I1: 1,9 => UNS * INC # C3: 1,9 => UNS * INC # C3: 2,5 => UNS * INC # I9: 1,9 => UNS * INC # I9: 7 => UNS * INC # B9: 4,6 => UNS * INC # B9: 1,2,9 => UNS * INC # C9: 4,6 => UNS * INC # C9: 1,2,9 => UNS * INC # I9: 1,9 => UNS * INC # I9: 7 => UNS * INC # B8: 1,9 => UNS * INC # C8: 1,9 => UNS * INC # H1: 1,9 => UNS * INC # H1: 3,7,8 => UNS * INC # I9: 1,7 => UNS * DIS # I9: 9 => CTR => I9: 1,7 * INC I9: 1,7 # G1: 1,7 => UNS * INC I9: 1,7 # G2: 1,7 => UNS * INC I9: 1,7 # I1: 1,9 => UNS * INC I9: 1,7 # I1: 3,7,8 => UNS * INC I9: 1,7 # C3: 1,9 => UNS * INC I9: 1,7 # C3: 2,5 => UNS * INC I9: 1,7 # B9: 4,6 => UNS * INC I9: 1,7 # B9: 2,9 => UNS * INC I9: 1,7 # C9: 4,6 => UNS * INC I9: 1,7 # C9: 2,9 => UNS * INC I9: 1,7 # C7: 2,3 => UNS * INC I9: 1,7 # C7: 9 => UNS * INC I9: 1,7 # A1: 2,3 => UNS * INC I9: 1,7 # A1: 1,5 => UNS * INC I9: 1,7 # E7: 2,9 => UNS * INC I9: 1,7 # E7: 1,5 => UNS * INC I9: 1,7 # B9: 2,9 => UNS * INC I9: 1,7 # C9: 2,9 => UNS * INC I9: 1,7 # G1: 1,7 => UNS * INC I9: 1,7 # G2: 1,7 => UNS * INC I9: 1,7 # I1: 1,7 => UNS * INC I9: 1,7 # I4: 1,7 => UNS * STA I9: 1,7 * CNT 40 HDP CHAINS / 40 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # I1: 1,9 => UNS * INC # I1: 3,7,8 => UNS * INC # C3: 1,9 => UNS * INC # C3: 2,5 => UNS * INC # B9: 4,6 => UNS * INC # B9: 2,9 => UNS * INC # C9: 4,6 => UNS * INC # C9: 2,9 => UNS * INC # C7: 2,3 => UNS * INC # C7: 9 => UNS * INC # A1: 2,3 => UNS * INC # A1: 1,5 => UNS * INC # E7: 2,9 => UNS * INC # E7: 1,5 => UNS * INC # B9: 2,9 => UNS * INC # C9: 2,9 => UNS * INC # G1: 1,7 => UNS * INC # G2: 1,7 => UNS * INC # I1: 1,7 => UNS * INC # I4: 1,7 => UNS * INC # I1: 1,9 # B1: 1,9 => UNS * DIS # I1: 1,9 # C1: 1,9 => CTR => C1: 2,3,5,7 * INC # I1: 1,9 + C1: 2,3,5,7 # B1: 1,9 => UNS * PRF # I1: 1,9 + C1: 2,3,5,7 # B1: 2,5 => SOL * STA # I1: 1,9 + C1: 2,3,5,7 + B1: 2,5 * CNT 24 HDP CHAINS / 25 HYP OPENED