Analysis of xx-mith-te3-00142129-base.sdk
Contents
Original Sudoku
level: hard
position: 1...56.8..5.1.....68.37..5...8......5.163.8.773...1...37....41881....9.2....1.57. initial
Autosolve
position: 1...56.8..5.1.....68.37..5...8......5.163.8.773...1...37....41881....9.2....1.57. autosolve
Pair Reduction Variants
Pair Reduction Analysis
The following important HDP chains were detected:
* DIS # G4: 2,6 => CTR => G4: 1,3 * 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 # G4: 2,6 => CTR => G4: 1,3 * STA G4: 1,3 * CNT 1 HDP CHAINS / 37 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction Position
position: 1...56.8..5.1.....68.37..5...8......5.163.8.773...1...37....41881....9.2....1.57. pair_reduction
See section Pair Reduction for the HDP chains leading to this result.
Deep Pair Reduction
Time used: 0:00:14.514805
The following important HDP chains were detected:
* PRF # G2: 2,6 # F2: 4,9 => SOL * STA # G2: 2,6 + F2: 4,9 * CNT 1 HDP CHAINS / 75 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 1...56.8..5.1.....68.37..5...8......5.163.8.773...1...37....41881....9.2....1.57. | initial |
| 1...56.8..5.1.....68.37..5...8......5.163.8.773...1...37....41881....9.2....1.57. | autosolve |
| 1...56.8..5.1.....68.37..5...8......5.163.8.773...1...37....41881....9.2....1.57. | pair_reduction |
| 123456789457189236689372154268597341591634827734821695372965418815743962946218573 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (7) C1: 3,7 C2: 3,7 G3: 1,2 G6: 2,6 E8: 4,6 H8: 3,6 I9: 3,6 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) G3,I3: 1.. / G3 = 1 => 9 pairs (_) / I3 = 1 => 10 pairs (_) G4,I4: 1.. / G4 = 1 => 10 pairs (_) / I4 = 1 => 9 pairs (_) G3,G4: 1.. / G3 = 1 => 9 pairs (_) / G4 = 1 => 10 pairs (_) I3,I4: 1.. / I3 = 1 => 10 pairs (_) / I4 = 1 => 9 pairs (_) C1,C2: 3.. / C1 = 3 => 6 pairs (_) / C2 = 3 => 6 pairs (_) F8,F9: 3.. / F8 = 3 => 9 pairs (_) / F9 = 3 => 12 pairs (_) H8,I9: 3.. / H8 = 3 => 12 pairs (_) / I9 = 3 => 9 pairs (_) F8,H8: 3.. / F8 = 3 => 9 pairs (_) / H8 = 3 => 12 pairs (_) F9,I9: 3.. / F9 = 3 => 12 pairs (_) / I9 = 3 => 9 pairs (_) I4,I6: 5.. / I4 = 5 => 14 pairs (_) / I6 = 5 => 9 pairs (_) C7,C8: 5.. / C7 = 5 => 15 pairs (_) / C8 = 5 => 8 pairs (_) D6,I6: 5.. / D6 = 5 => 14 pairs (_) / I6 = 5 => 9 pairs (_) B4,C6: 6.. / B4 = 6 => 7 pairs (_) / C6 = 6 => 0 pairs (X) E7,E8: 6.. / E7 = 6 => 9 pairs (_) / E8 = 6 => 12 pairs (_) H8,I9: 6.. / H8 = 6 => 9 pairs (_) / I9 = 6 => 12 pairs (_) C7,E7: 6.. / C7 = 6 => 12 pairs (_) / E7 = 6 => 9 pairs (_) B4,B9: 6.. / B4 = 6 => 7 pairs (_) / B9 = 6 => 0 pairs (X) C1,C2: 7.. / C1 = 7 => 6 pairs (_) / C2 = 7 => 6 pairs (_) G1,G2: 7.. / G1 = 7 => 6 pairs (_) / G2 = 7 => 6 pairs (_) D4,F4: 7.. / D4 = 7 => 12 pairs (_) / F4 = 7 => 8 pairs (_) D8,F8: 7.. / D8 = 7 => 8 pairs (_) / F8 = 7 => 12 pairs (_) C1,G1: 7.. / C1 = 7 => 6 pairs (_) / G1 = 7 => 6 pairs (_) C2,G2: 7.. / C2 = 7 => 6 pairs (_) / G2 = 7 => 6 pairs (_) D4,D8: 7.. / D4 = 7 => 12 pairs (_) / D8 = 7 => 8 pairs (_) F4,F8: 7.. / F4 = 7 => 8 pairs (_) / F8 = 7 => 12 pairs (_) E2,F2: 8.. / E2 = 8 => 21 pairs (_) / F2 = 8 => 7 pairs (_) D6,E6: 8.. / D6 = 8 => 21 pairs (_) / E6 = 8 => 7 pairs (_) D9,F9: 8.. / D9 = 8 => 7 pairs (_) / F9 = 8 => 21 pairs (_) D6,D9: 8.. / D6 = 8 => 21 pairs (_) / D9 = 8 => 7 pairs (_) E2,E6: 8.. / E2 = 8 => 21 pairs (_) / E6 = 8 => 7 pairs (_) F2,F9: 8.. / F2 = 8 => 7 pairs (_) / F9 = 8 => 21 pairs (_) * DURATION: 0:00:08.819119 START: 21:50:37.996326 END: 21:50:46.815445 2025-04-06 * CP COUNT: (31) * CLUE FOUND * DEEP PAIR REDUCTION * DURATION: 0:00:14.302697 START: 21:50:56.096352 END: 21:51:10.399049 2025-04-06 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00142129-base-pr-002.dot * REASONING * PRF # G2: 2,6 # F2: 4,9 => SOL * STA # G2: 2,6 + F2: 4,9 * CNT 1 HDP CHAINS / 75 HYP OPENED
Header Info
rating: 37777; r2: 780520; index: 142129
Solution
position: 123456789457189236689372154268597341591634827734821695372965418815743962946218573 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 # G1: 3,7 => UNS * INC # G1: 2 => UNS * INC # G2: 3,7 => UNS * INC # G2: 2,6 => UNS * INC # G4: 1,2 => UNS * INC # G4: 3,6 => UNS * DIS # G4: 2,6 => CTR => G4: 1,3 * INC # G4: 1,3 => UNS * INC # H4: 2,6 => UNS * INC # H6: 2,6 => UNS * INC # C6: 2,6 => UNS * INC # C6: 4,9 => UNS * INC # G2: 2,6 => UNS * INC # G2: 3,7 => UNS * INC # C8: 4,6 => UNS * INC # C8: 5 => UNS * INC # H2: 3,6 => UNS * INC # H4: 3,6 => UNS * INC # I2: 3,6 => UNS * INC # I4: 3,6 => UNS * CNT 20 HDP CHAINS / 20 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # G1: 3,7 => UNS * INC # G1: 2 => UNS * INC # G2: 3,7 => UNS * INC # G2: 2,6 => UNS * INC # G4: 1,2 => UNS * INC # G4: 3,6 => UNS * DIS # G4: 2,6 => CTR => G4: 1,3 * INC G4: 1,3 # H4: 2,6 => UNS * INC G4: 1,3 # H6: 2,6 => UNS * INC G4: 1,3 # C6: 2,6 => UNS * INC G4: 1,3 # C6: 4,9 => UNS * INC G4: 1,3 # G2: 2,6 => UNS * INC G4: 1,3 # G2: 3,7 => UNS * INC G4: 1,3 # C8: 4,6 => UNS * INC G4: 1,3 # C8: 5 => UNS * INC G4: 1,3 # H2: 3,6 => UNS * INC G4: 1,3 # H4: 3,6 => UNS * INC G4: 1,3 # I2: 3,6 => UNS * INC G4: 1,3 # I4: 3,6 => UNS * INC G4: 1,3 # G1: 3,7 => UNS * INC G4: 1,3 # G1: 2 => UNS * INC G4: 1,3 # G2: 3,7 => UNS * INC G4: 1,3 # G2: 2,6 => UNS * INC G4: 1,3 # I4: 1,3 => UNS * INC G4: 1,3 # I4: 4,5,6,9 => UNS * INC G4: 1,3 # H4: 2,6 => UNS * INC G4: 1,3 # H6: 2,6 => UNS * INC G4: 1,3 # C6: 2,6 => UNS * INC G4: 1,3 # C6: 4,9 => UNS * INC G4: 1,3 # G2: 2,6 => UNS * INC G4: 1,3 # G2: 3,7 => UNS * INC G4: 1,3 # C8: 4,6 => UNS * INC G4: 1,3 # C8: 5 => UNS * INC G4: 1,3 # H2: 3,6 => UNS * INC G4: 1,3 # H4: 3,6 => UNS * INC G4: 1,3 # I2: 3,6 => UNS * INC G4: 1,3 # I4: 3,6 => UNS * STA G4: 1,3 * CNT 37 HDP CHAINS / 37 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # G1: 3,7 => UNS * INC # G1: 2 => UNS * INC # G2: 3,7 => UNS * INC # G2: 2,6 => UNS * INC # I4: 1,3 => UNS * INC # I4: 4,5,6,9 => UNS * INC # H4: 2,6 => UNS * INC # H6: 2,6 => UNS * INC # C6: 2,6 => UNS * INC # C6: 4,9 => UNS * INC # G2: 2,6 => UNS * INC # G2: 3,7 => UNS * INC # C8: 4,6 => UNS * INC # C8: 5 => UNS * INC # H2: 3,6 => UNS * INC # H4: 3,6 => UNS * INC # I2: 3,6 => UNS * INC # I4: 3,6 => UNS * INC # G1: 3,7 # G2: 3,7 => UNS * INC # G1: 3,7 # G2: 2,6 => UNS * INC # G1: 3,7 # G2: 3,7 => UNS * INC # G1: 3,7 # G2: 2,6 => UNS * INC # G1: 3,7 # H2: 4,9 => UNS * INC # G1: 3,7 # I2: 4,9 => UNS * INC # G1: 3,7 # I3: 4,9 => UNS * INC # G1: 3,7 # B1: 4,9 => UNS * INC # G1: 3,7 # D1: 4,9 => UNS * INC # G1: 3,7 # I4: 4,9 => UNS * INC # G1: 3,7 # I6: 4,9 => UNS * INC # G1: 3,7 # I4: 1,3 => UNS * INC # G1: 3,7 # I4: 4,5,6,9 => UNS * INC # G1: 3,7 # H4: 2,6 => UNS * INC # G1: 3,7 # H6: 2,6 => UNS * INC # G1: 3,7 # C6: 2,6 => UNS * INC # G1: 3,7 # C6: 4,9 => UNS * INC # G1: 3,7 # G2: 2,6 => UNS * INC # G1: 3,7 # G2: 3,7 => UNS * INC # G1: 3,7 # C8: 4,6 => UNS * INC # G1: 3,7 # C8: 5 => UNS * INC # G1: 3,7 # H2: 3,6 => UNS * INC # G1: 3,7 # H4: 3,6 => UNS * INC # G1: 3,7 # I2: 3,6 => UNS * INC # G1: 3,7 # I4: 3,6 => UNS * INC # G1: 3,7 => UNS * INC # G1: 2 # A2: 4,9 => UNS * INC # G1: 2 # C3: 4,9 => UNS * INC # G1: 2 # B5: 4,9 => UNS * INC # G1: 2 # B9: 4,9 => UNS * INC # G1: 2 # E2: 4,9 => UNS * INC # G1: 2 # F3: 4,9 => UNS * INC # G1: 2 # D6: 4,9 => UNS * INC # G1: 2 # D6: 2 => UNS * INC # G1: 2 # A2: 4,9 => UNS * INC # G1: 2 # E2: 4,9 => UNS * INC # G1: 2 # C3: 4,9 => UNS * INC # G1: 2 # F3: 4,9 => UNS * INC # G1: 2 # D8: 5,7 => UNS * INC # G1: 2 # D8: 4 => UNS * INC # G1: 2 # F8: 5,7 => UNS * INC # G1: 2 # F8: 4 => UNS * INC # G1: 2 => UNS * INC # G2: 3,7 # G1: 3,7 => UNS * INC # G2: 3,7 # G1: 2 => UNS * INC # G2: 3,7 # G1: 3,7 => UNS * INC # G2: 3,7 # G1: 2 => UNS * INC # G2: 3,7 # I4: 1,3 => UNS * INC # G2: 3,7 # I4: 4,5,9 => UNS * INC # G2: 3,7 # C8: 4,6 => UNS * INC # G2: 3,7 # C8: 5 => UNS * INC # G2: 3,7 => UNS * INC # G2: 2,6 # B1: 4,9 => UNS * INC # G2: 2,6 # C3: 4,9 => UNS * INC # G2: 2,6 # E2: 4,9 => UNS * PRF # G2: 2,6 # F2: 4,9 => SOL * STA # G2: 2,6 + F2: 4,9 * CNT 74 HDP CHAINS / 75 HYP OPENED