Analysis of xx-mith-te3-00154341-base.sdk
Contents
Original Sudoku
level: hard
position: .23.56......18......9327.....48...13..8...94.9.....8..3.2.1..94....42..8......12. initial
Autosolve
position: .23.56......18......9327.....48...13..8...94.9.....8..3.2.1..94....42..8......12. autosolve
Pair Reduction Variants
Pair Reduction Analysis
The following important HDP chains were detected:
* DIS # G2: 4,7 => CTR => G2: 2,3,5,6 * DIS # F9: 5,8 => CTR => F9: 3,9 * CNT 2 HDP CHAINS / 12 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction
The following important HDP chains were detected:
* DIS # G2: 4,7 => CTR => G2: 2,3,5,6 * DIS G2: 2,3,5,6 # F9: 5,8 => CTR => F9: 3,9 * STA G2: 2,3,5,6 + F9: 3,9 * CNT 2 HDP CHAINS / 18 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction Position
position: .23.56......18......9327.....48...13..8...94.9.....8..3.2.18.94.9..42..8......12. pair_reduction
See section Pair Reduction for the HDP chains leading to this result.
Deep Pair Reduction
Time used: 0:00:14.895438
The following important HDP chains were detected:
* DIS # A1: 1,4 # G2: 5,6 => CTR => G2: 2,3 * DIS # A1: 1,4 + G2: 2,3 # H2: 5,6 => CTR => H2: 3 * PRF # A1: 1,4 + G2: 2,3 + H2: 3 # I2: 5,6 => SOL * STA # A1: 1,4 + G2: 2,3 + H2: 3 + I2: 5,6 * CNT 3 HDP CHAINS / 59 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| .23.56......18......9327.....48...13..8...94.9.....8..3.2.1..94....42..8......12. | initial |
| .23.56......18......9327.....48...13..8...94.9.....8..3.2.1..94....42..8......12. | autosolve |
| .23.56......18......9327.....48...13..8...94.9.....8..3.2.18.94.9..42..8......12. | pair_reduction |
| 123456789457189236689327451274895613538671942916234875362718594791542368845963127 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (6) D1: 4,9 F2: 4,9 G1: 4,7 H1: 7,8 F4: 5,9 F7: 5,8 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) I1,I3: 1.. / I1 = 1 => 12 pairs (_) / I3 = 1 => 7 pairs (_) F5,F6: 1.. / F5 = 1 => 6 pairs (_) / F6 = 1 => 11 pairs (_) A1,I1: 1.. / A1 = 1 => 7 pairs (_) / I1 = 1 => 12 pairs (_) C6,C8: 1.. / C6 = 1 => 6 pairs (_) / C8 = 1 => 6 pairs (_) G2,I2: 2.. / G2 = 2 => 6 pairs (_) / I2 = 2 => 0 pairs (X) A4,A5: 2.. / A4 = 2 => 6 pairs (_) / A5 = 2 => 0 pairs (X) D5,D6: 2.. / D5 = 2 => 6 pairs (_) / D6 = 2 => 12 pairs (_) A4,G4: 2.. / A4 = 2 => 6 pairs (_) / G4 = 2 => 0 pairs (X) D6,I6: 2.. / D6 = 2 => 12 pairs (_) / I6 = 2 => 6 pairs (_) G2,G4: 2.. / G2 = 2 => 6 pairs (_) / G4 = 2 => 0 pairs (X) G2,H2: 3.. / G2 = 3 => 0 pairs (X) / H2 = 3 => 6 pairs (_) B5,B6: 3.. / B5 = 3 => 8 pairs (_) / B6 = 3 => 7 pairs (_) E9,F9: 3.. / E9 = 3 => 14 pairs (_) / F9 = 3 => 8 pairs (_) G8,H8: 3.. / G8 = 3 => 6 pairs (_) / H8 = 3 => 0 pairs (X) G2,G8: 3.. / G2 = 3 => 0 pairs (X) / G8 = 3 => 6 pairs (_) H2,H8: 3.. / H2 = 3 => 6 pairs (_) / H8 = 3 => 0 pairs (X) D1,F2: 4.. / D1 = 4 => 9 pairs (_) / F2 = 4 => 11 pairs (_) D6,F6: 4.. / D6 = 4 => 11 pairs (_) / F6 = 4 => 9 pairs (_) A9,B9: 4.. / A9 = 4 => 6 pairs (_) / B9 = 4 => 6 pairs (_) D1,D6: 4.. / D1 = 4 => 9 pairs (_) / D6 = 4 => 11 pairs (_) F2,F6: 4.. / F2 = 4 => 11 pairs (_) / F6 = 4 => 9 pairs (_) H1,H3: 8.. / H1 = 8 => 6 pairs (_) / H3 = 8 => 9 pairs (_) F7,F9: 8.. / F7 = 8 => 7 pairs (_) / F9 = 8 => 0 pairs (X) A1,H1: 8.. / A1 = 8 => 9 pairs (_) / H1 = 8 => 6 pairs (_) B7,F7: 8.. / B7 = 8 => 0 pairs (X) / F7 = 8 => 7 pairs (_) D1,F2: 9.. / D1 = 9 => 11 pairs (_) / F2 = 9 => 9 pairs (_) I1,I2: 9.. / I1 = 9 => 9 pairs (_) / I2 = 9 => 11 pairs (_) E4,F4: 9.. / E4 = 9 => 9 pairs (_) / F4 = 9 => 11 pairs (_) B8,B9: 9.. / B8 = 9 => 6 pairs (_) / B9 = 9 => 0 pairs (X) D1,I1: 9.. / D1 = 9 => 11 pairs (_) / I1 = 9 => 9 pairs (_) F2,I2: 9.. / F2 = 9 => 9 pairs (_) / I2 = 9 => 11 pairs (_) B8,D8: 9.. / B8 = 9 => 6 pairs (_) / D8 = 9 => 0 pairs (X) E4,E9: 9.. / E4 = 9 => 9 pairs (_) / E9 = 9 => 11 pairs (_) * DURATION: 0:00:08.598493 START: 22:54:05.169859 END: 22:54:13.768352 2025-04-06 * CP COUNT: (33) * CLUE FOUND * DEEP PAIR REDUCTION * DURATION: 0:00:14.638658 START: 22:54:19.484202 END: 22:54:34.122860 2025-04-06 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00154341-base-pr-002.dot * REASONING * DIS # A1: 1,4 # G2: 5,6 => CTR => G2: 2,3 * DIS # A1: 1,4 + G2: 2,3 # H2: 5,6 => CTR => H2: 3 * PRF # A1: 1,4 + G2: 2,3 + H2: 3 # I2: 5,6 => SOL * STA # A1: 1,4 + G2: 2,3 + H2: 3 + I2: 5,6 * CNT 3 HDP CHAINS / 59 HYP OPENED
Header Info
rating: 42494; r2: 814327; index: 154341
Solution
position: 123456789457189236689327451274895613538671942916234875362718594791542368845963127 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:
* DIS # G2: 4,7 => CTR => G2: 2,3,5,6 * INC # G2: 2,3,5,6 => UNS * INC # A1: 4,7 => UNS * INC # A1: 1,8 => UNS * INC # A1: 7,8 => UNS * INC # A1: 1,4 => UNS * INC # F9: 5,9 => UNS * INC # F9: 3,8 => UNS * DIS # F9: 5,8 => CTR => F9: 3,9 * INC # F9: 3,9 => UNS * INC # B7: 5,8 => UNS * INC # B7: 6,7 => UNS * CNT 12 HDP CHAINS / 12 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* DIS # G2: 4,7 => CTR => G2: 2,3,5,6 * INC G2: 2,3,5,6 # A1: 4,7 => UNS * INC G2: 2,3,5,6 # A1: 1,8 => UNS * INC G2: 2,3,5,6 # A1: 7,8 => UNS * INC G2: 2,3,5,6 # A1: 1,4 => UNS * INC G2: 2,3,5,6 # F9: 5,9 => UNS * INC G2: 2,3,5,6 # F9: 3,8 => UNS * DIS G2: 2,3,5,6 # F9: 5,8 => CTR => F9: 3,9 * INC G2: 2,3,5,6 + F9: 3,9 # A1: 4,7 => UNS * INC G2: 2,3,5,6 + F9: 3,9 # A1: 1,8 => UNS * INC G2: 2,3,5,6 + F9: 3,9 # A1: 7,8 => UNS * INC G2: 2,3,5,6 + F9: 3,9 # A1: 1,4 => UNS * INC G2: 2,3,5,6 + F9: 3,9 # A1: 4,8 => UNS * INC G2: 2,3,5,6 + F9: 3,9 # A3: 4,8 => UNS * INC G2: 2,3,5,6 + F9: 3,9 # B3: 4,8 => UNS * INC G2: 2,3,5,6 + F9: 3,9 # B3: 1,5,6 => UNS * INC G2: 2,3,5,6 + F9: 3,9 # E9: 3,9 => UNS * INC G2: 2,3,5,6 + F9: 3,9 # E9: 6,7 => UNS * STA G2: 2,3,5,6 + F9: 3,9 * CNT 18 HDP CHAINS / 18 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # A1: 4,7 => UNS * INC # A1: 1,8 => UNS * INC # A1: 7,8 => UNS * INC # A1: 1,4 => UNS * INC # A1: 4,8 => UNS * INC # A3: 4,8 => UNS * INC # B3: 4,8 => UNS * INC # B3: 1,5,6 => UNS * INC # E9: 3,9 => UNS * INC # E9: 6,7 => UNS * INC # A1: 4,7 # H6: 5,6 => UNS * INC # A1: 4,7 # H8: 5,6 => UNS * INC # A1: 4,7 # I5: 5,6 => UNS * INC # A1: 4,7 # I9: 5,6 => UNS * INC # A1: 4,7 # F5: 1,3 => UNS * INC # A1: 4,7 # F5: 5 => UNS * INC # A1: 4,7 # F6: 1,3 => UNS * INC # A1: 4,7 # F6: 5 => UNS * INC # A1: 4,7 # I5: 5,6 => UNS * INC # A1: 4,7 # H6: 5,6 => UNS * INC # A1: 4,7 # B4: 5,6 => UNS * INC # A1: 4,7 # B4: 7 => UNS * INC # A1: 4,7 # H8: 5,6 => UNS * INC # A1: 4,7 # I9: 5,6 => UNS * INC # A1: 4,7 # B7: 5,6 => UNS * INC # A1: 4,7 # D7: 5,6 => UNS * INC # A1: 4,7 => UNS * INC # A1: 1,8 # A3: 1,8 => UNS * INC # A1: 1,8 # B3: 1,8 => UNS * INC # A1: 1,8 # A3: 4,8 => UNS * INC # A1: 1,8 # A3: 1,5,6 => UNS * INC # A1: 1,8 # B3: 4,8 => UNS * INC # A1: 1,8 # B3: 1,5,6 => UNS * INC # A1: 1,8 # E9: 3,9 => UNS * INC # A1: 1,8 # E9: 6,7 => UNS * INC # A1: 1,8 => UNS * INC # A1: 7,8 # G4: 5,6 => UNS * INC # A1: 7,8 # G7: 5,6 => UNS * INC # A1: 7,8 # I5: 5,6 => UNS * INC # A1: 7,8 # I9: 5,6 => UNS * INC # A1: 7,8 # F5: 1,3 => UNS * INC # A1: 7,8 # F5: 5 => UNS * INC # A1: 7,8 # F6: 1,3 => UNS * INC # A1: 7,8 # F6: 5 => UNS * INC # A1: 7,8 # G4: 5,6 => UNS * INC # A1: 7,8 # I5: 5,6 => UNS * INC # A1: 7,8 # C6: 5,6 => UNS * INC # A1: 7,8 # C6: 7 => UNS * INC # A1: 7,8 # G7: 5,6 => UNS * INC # A1: 7,8 # I9: 5,6 => UNS * INC # A1: 7,8 # A8: 5,6 => UNS * INC # A1: 7,8 # D8: 5,6 => UNS * INC # A1: 7,8 => UNS * INC # A1: 1,4 # A3: 1,4 => UNS * INC # A1: 1,4 # B3: 1,4 => UNS * DIS # A1: 1,4 # G2: 5,6 => CTR => G2: 2,3 * DIS # A1: 1,4 + G2: 2,3 # H2: 5,6 => CTR => H2: 3 * PRF # A1: 1,4 + G2: 2,3 + H2: 3 # I2: 5,6 => SOL * STA # A1: 1,4 + G2: 2,3 + H2: 3 + I2: 5,6 * CNT 58 HDP CHAINS / 59 HYP OPENED