Analysis of xx-mith-te3-00125141-base.sdk
Contents
Original Sudoku
level: hard
position: 12...6.....71......897.2......86..71.9....368......45..1.9.8.2.....1769.97.62.... initial
Autosolve
position: 12...6.....71......897.2......86..71.9....368......45..1.9.8.2.....1769.97.62.... autosolve
Pair Reduction Variants
Pair Reduction Analysis
The following important HDP chains were detected:
* DIS # A6: 3,6 => CTR => A6: 2,7,8 * DIS # C6: 3,6 => CTR => C6: 1,2,8 * CNT 2 HDP CHAINS / 24 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction
The following important HDP chains were detected:
* DIS # A6: 3,6 => CTR => A6: 2,7,8 * DIS A6: 2,7,8 # C6: 3,6 => CTR => C6: 1,2,8 * STA A6: 2,7,8 + C6: 1,2,8 * CNT 2 HDP CHAINS / 34 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction Position
position: 12...6.....71......897.2......86..71.9....368.6....45..169.8.2.....1769.97.62.... pair_reduction
See section Pair Reduction for the HDP chains leading to this result.
Deep Pair Reduction
Time used: 0:00:04.139597
The following important HDP chains were detected:
* PRF # I2: 5,6 # E1: 4,5 => SOL * STA # I2: 5,6 + E1: 4,5 * CNT 1 HDP CHAINS / 18 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 12...6.....71......897.2......86..71.9....368......45..1.9.8.2.....1769.97.62.... | initial |
| 12...6.....71......897.2......86..71.9....368......45..1.9.8.2.....1769.97.62.... | autosolve |
| 12...6.....71......897.2......86..71.9....368.6....45..169.8.2.....1769.97.62.... | pair_reduction |
| 123456789457189236689732145234865971591274368768391452316948527842517693975623814 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (11) G3: 1,5 I3: 5,6 B6: 3,6 D6: 2,3 G4: 2,9 I6: 2,9 A8: 2,8 C8: 2,8 G7: 5,7 G9: 1,8 H9: 1,8 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) G3,H3: 1.. / G3 = 1 => 9 pairs (_) / H3 = 1 => 13 pairs (_) C5,C6: 1.. / C5 = 1 => 12 pairs (_) / C6 = 1 => 12 pairs (_) F5,F6: 1.. / F5 = 1 => 12 pairs (_) / F6 = 1 => 12 pairs (_) G9,H9: 1.. / G9 = 1 => 13 pairs (_) / H9 = 1 => 9 pairs (_) C5,F5: 1.. / C5 = 1 => 12 pairs (_) / F5 = 1 => 12 pairs (_) C6,F6: 1.. / C6 = 1 => 12 pairs (_) / F6 = 1 => 12 pairs (_) G3,G9: 1.. / G3 = 1 => 9 pairs (_) / G9 = 1 => 13 pairs (_) H3,H9: 1.. / H3 = 1 => 13 pairs (_) / H9 = 1 => 9 pairs (_) G2,I2: 2.. / G2 = 2 => 14 pairs (_) / I2 = 2 => 14 pairs (_) D5,D6: 2.. / D5 = 2 => 13 pairs (_) / D6 = 2 => 16 pairs (_) G4,I6: 2.. / G4 = 2 => 14 pairs (_) / I6 = 2 => 14 pairs (_) A8,C8: 2.. / A8 = 2 => 12 pairs (_) / C8 = 2 => 10 pairs (_) G2,G4: 2.. / G2 = 2 => 14 pairs (_) / G4 = 2 => 14 pairs (_) I2,I6: 2.. / I2 = 2 => 14 pairs (_) / I6 = 2 => 14 pairs (_) I2,I3: 6.. / I2 = 6 => 18 pairs (_) / I3 = 6 => 10 pairs (_) A7,C7: 6.. / A7 = 6 => 0 pairs (X) / C7 = 6 => 11 pairs (_) A3,I3: 6.. / A3 = 6 => 18 pairs (_) / I3 = 6 => 10 pairs (_) B2,B6: 6.. / B2 = 6 => 0 pairs (X) / B6 = 6 => 10 pairs (_) C6,C7: 6.. / C6 = 6 => 0 pairs (X) / C7 = 6 => 11 pairs (_) G1,I1: 7.. / G1 = 7 => 13 pairs (_) / I1 = 7 => 10 pairs (_) A5,A6: 7.. / A5 = 7 => 14 pairs (_) / A6 = 7 => 10 pairs (_) E5,E6: 7.. / E5 = 7 => 10 pairs (_) / E6 = 7 => 14 pairs (_) G7,I7: 7.. / G7 = 7 => 10 pairs (_) / I7 = 7 => 13 pairs (_) A5,E5: 7.. / A5 = 7 => 14 pairs (_) / E5 = 7 => 10 pairs (_) A6,E6: 7.. / A6 = 7 => 10 pairs (_) / E6 = 7 => 14 pairs (_) G1,G7: 7.. / G1 = 7 => 13 pairs (_) / G7 = 7 => 10 pairs (_) I1,I7: 7.. / I1 = 7 => 10 pairs (_) / I7 = 7 => 13 pairs (_) E1,E2: 8.. / E1 = 8 => 14 pairs (_) / E2 = 8 => 12 pairs (_) A6,C6: 8.. / A6 = 8 => 12 pairs (_) / C6 = 8 => 10 pairs (_) A8,C8: 8.. / A8 = 8 => 10 pairs (_) / C8 = 8 => 12 pairs (_) G9,H9: 8.. / G9 = 8 => 9 pairs (_) / H9 = 8 => 13 pairs (_) A6,A8: 8.. / A6 = 8 => 12 pairs (_) / A8 = 8 => 10 pairs (_) C6,C8: 8.. / C6 = 8 => 10 pairs (_) / C8 = 8 => 12 pairs (_) G4,I6: 9.. / G4 = 9 => 14 pairs (_) / I6 = 9 => 14 pairs (_) F4,G4: 9.. / F4 = 9 => 14 pairs (_) / G4 = 9 => 14 pairs (_) * DURATION: 0:00:10.336717 START: 19:20:27.284743 END: 19:20:37.621460 2025-04-06 * CP COUNT: (35) * CLUE FOUND * DEEP PAIR REDUCTION * DURATION: 0:00:04.017539 START: 19:20:48.023591 END: 19:20:52.041130 2025-04-06 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00125141-base-pr-002.dot * REASONING * PRF # I2: 5,6 # E1: 4,5 => SOL * STA # I2: 5,6 + E1: 4,5 * CNT 1 HDP CHAINS / 18 HYP OPENED
Header Info
rating: 32622; r2: 610809; index: 125141
Solution
position: 123456789457189236689732145234865971591274368768391452316948527842517693975623814 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 # I2: 5,6 => UNS * INC # I2: 2,9 => UNS * INC # A3: 5,6 => UNS * INC # A3: 3,4 => UNS * DIS # A6: 3,6 => CTR => A6: 2,7,8 * INC # A6: 2,7,8 => UNS * DIS # C6: 3,6 => CTR => C6: 1,2,8 * INC # C6: 1,2,8 => UNS * INC # B2: 3,6 => UNS * INC # B2: 4,5 => UNS * INC # A6: 2,3 => UNS * INC # C6: 2,3 => UNS * INC # G2: 2,9 => UNS * INC # G2: 5,8 => UNS * INC # I2: 2,9 => UNS * INC # I2: 5,6 => UNS * INC # A6: 2,8 => UNS * INC # A6: 3,6,7 => UNS * INC # C6: 2,8 => UNS * INC # C6: 1,3,6 => UNS * INC # I7: 5,7 => UNS * INC # I7: 3,4 => UNS * INC # G1: 5,7 => UNS * INC # G1: 8,9 => UNS * CNT 24 HDP CHAINS / 24 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # I2: 5,6 => UNS * INC # I2: 2,9 => UNS * INC # A3: 5,6 => UNS * INC # A3: 3,4 => UNS * DIS # A6: 3,6 => CTR => A6: 2,7,8 * DIS A6: 2,7,8 # C6: 3,6 => CTR => C6: 1,2,8 * INC A6: 2,7,8 + C6: 1,2,8 # G2: 2,9 => UNS * INC A6: 2,7,8 + C6: 1,2,8 # G2: 5,8 => UNS * INC A6: 2,7,8 + C6: 1,2,8 # I2: 2,9 => UNS * INC A6: 2,7,8 + C6: 1,2,8 # I2: 5,6 => UNS * INC A6: 2,7,8 + C6: 1,2,8 # A6: 2,8 => UNS * INC A6: 2,7,8 + C6: 1,2,8 # A6: 7 => UNS * INC A6: 2,7,8 + C6: 1,2,8 # C6: 2,8 => UNS * INC A6: 2,7,8 + C6: 1,2,8 # C6: 1 => UNS * INC A6: 2,7,8 + C6: 1,2,8 # I7: 5,7 => UNS * INC A6: 2,7,8 + C6: 1,2,8 # I7: 3,4 => UNS * INC A6: 2,7,8 + C6: 1,2,8 # G1: 5,7 => UNS * INC A6: 2,7,8 + C6: 1,2,8 # G1: 8,9 => UNS * INC A6: 2,7,8 + C6: 1,2,8 # I2: 5,6 => UNS * INC A6: 2,7,8 + C6: 1,2,8 # I2: 2,9 => UNS * INC A6: 2,7,8 + C6: 1,2,8 # A3: 5,6 => UNS * INC A6: 2,7,8 + C6: 1,2,8 # A3: 3,4 => UNS * INC A6: 2,7,8 + C6: 1,2,8 # G2: 2,9 => UNS * INC A6: 2,7,8 + C6: 1,2,8 # G2: 5,8 => UNS * INC A6: 2,7,8 + C6: 1,2,8 # I2: 2,9 => UNS * INC A6: 2,7,8 + C6: 1,2,8 # I2: 5,6 => UNS * INC A6: 2,7,8 + C6: 1,2,8 # A6: 2,8 => UNS * INC A6: 2,7,8 + C6: 1,2,8 # A6: 7 => UNS * INC A6: 2,7,8 + C6: 1,2,8 # C6: 2,8 => UNS * INC A6: 2,7,8 + C6: 1,2,8 # C6: 1 => UNS * INC A6: 2,7,8 + C6: 1,2,8 # I7: 5,7 => UNS * INC A6: 2,7,8 + C6: 1,2,8 # I7: 3,4 => UNS * INC A6: 2,7,8 + C6: 1,2,8 # G1: 5,7 => UNS * INC A6: 2,7,8 + C6: 1,2,8 # G1: 8,9 => UNS * STA A6: 2,7,8 + C6: 1,2,8 * CNT 34 HDP CHAINS / 34 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # I2: 5,6 => UNS * INC # I2: 2,9 => UNS * INC # A3: 5,6 => UNS * INC # A3: 3,4 => UNS * INC # G2: 2,9 => UNS * INC # G2: 5,8 => UNS * INC # I2: 2,9 => UNS * INC # I2: 5,6 => UNS * INC # A6: 2,8 => UNS * INC # A6: 7 => UNS * INC # C6: 2,8 => UNS * INC # C6: 1 => UNS * INC # I7: 5,7 => UNS * INC # I7: 3,4 => UNS * INC # G1: 5,7 => UNS * INC # G1: 8,9 => UNS * PRF # I2: 5,6 # E1: 4,5 => SOL * STA # I2: 5,6 + E1: 4,5 * CNT 17 HDP CHAINS / 18 HYP OPENED