Analysis of xx-mith-te3-00005971-base.sdk
Contents
Original Sudoku
level: hard
position: .....67.94.71.92.6.967......64....1......754......2..8..1......6..9.1...9.2.74... initial
Autosolve
position: .....67.94.71.92.6.967......64....1......754......26.8..1......6..9.1...9.2.74.6. autosolve
Pair Reduction Variants
Pair Reduction Analysis
The following important HDP chains were detected:
* DIS # E5: 3,6 => CTR => E5: 1,9 * DIS # D7: 3,6 => CTR => D7: 2,5,8 * DIS # H7: 2 => CTR => H7: 7,9 * CNT 3 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 # E5: 3,6 => CTR => E5: 1,9 * DIS E5: 1,9 # H7: 2 => CTR => H7: 7,9 * STA E5: 1,9 + H7: 7,9 * CNT 2 HDP CHAINS / 25 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction Position
position: .....67.94.71.92.6.967......64....1....6.754......26.8..126....6..9.1.2.9.2.74.6. pair_reduction
See section Pair Reduction for the HDP chains leading to this result.
Deep Pair Reduction
Time used: 0:00:06.446138
The following important HDP chains were detected:
* PRF # E6: 3,4 # A3: 3,8 => SOL * STA # E6: 3,4 + A3: 3,8 * CNT 1 HDP CHAINS / 24 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| .....67.94.71.92.6.967......64....1......754......2..8..1......6..9.1...9.2.74... | initial |
| .....67.94.71.92.6.967......64....1......754......26.8..1......6..9.1...9.2.74.6. | autosolve |
| .....67.94.71.92.6.967......64....1....6.754......26.8..126....6..9.1.2.9.2.74.6. | pair_reduction |
| 123456789457189236896723154264895317389617542715342698541268973678931425932574861 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (10) G3: 1,4 I3: 1,4 A4: 2,7 D5: 3,6 D6: 3,4 G4: 3,9 I4: 2,7 I5: 2,3 H6: 7,9 H8: 2,7 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) A1,B1: 1.. / A1 = 1 => 10 pairs (_) / B1 = 1 => 10 pairs (_) G3,I3: 1.. / G3 = 1 => 9 pairs (_) / I3 = 1 => 10 pairs (_) E5,E6: 1.. / E5 = 1 => 10 pairs (_) / E6 = 1 => 12 pairs (_) G9,I9: 1.. / G9 = 1 => 10 pairs (_) / I9 = 1 => 9 pairs (_) G3,G9: 1.. / G3 = 1 => 9 pairs (_) / G9 = 1 => 10 pairs (_) I3,I9: 1.. / I3 = 1 => 10 pairs (_) / I9 = 1 => 9 pairs (_) I4,I5: 2.. / I4 = 2 => 10 pairs (_) / I5 = 2 => 11 pairs (_) H7,H8: 2.. / H7 = 2 => 0 pairs (X) / H8 = 2 => 12 pairs (_) A3,E3: 2.. / A3 = 2 => 0 pairs (X) / E3 = 2 => 11 pairs (_) A4,I4: 2.. / A4 = 2 => 11 pairs (_) / I4 = 2 => 10 pairs (_) E8,H8: 2.. / E8 = 2 => 0 pairs (X) / H8 = 2 => 12 pairs (_) B1,B5: 2.. / B1 = 2 => 9 pairs (_) / B5 = 2 => 10 pairs (_) D1,D7: 2.. / D1 = 2 => 0 pairs (X) / D7 = 2 => 9 pairs (_) G4,I5: 3.. / G4 = 3 => 11 pairs (_) / I5 = 3 => 10 pairs (_) D1,E1: 4.. / D1 = 4 => 12 pairs (_) / E1 = 4 => 9 pairs (_) G3,I3: 4.. / G3 = 4 => 10 pairs (_) / I3 = 4 => 9 pairs (_) D6,E6: 4.. / D6 = 4 => 9 pairs (_) / E6 = 4 => 12 pairs (_) B7,B8: 4.. / B7 = 4 => 10 pairs (_) / B8 = 4 => 12 pairs (_) D1,D6: 4.. / D1 = 4 => 12 pairs (_) / D6 = 4 => 9 pairs (_) E1,E6: 4.. / E1 = 4 => 9 pairs (_) / E6 = 4 => 12 pairs (_) D5,E5: 6.. / D5 = 6 => 9 pairs (_) / E5 = 6 => 0 pairs (X) D7,E7: 6.. / D7 = 6 => 0 pairs (X) / E7 = 6 => 9 pairs (_) D5,D7: 6.. / D5 = 6 => 9 pairs (_) / D7 = 6 => 0 pairs (X) E5,E7: 6.. / E5 = 6 => 0 pairs (X) / E7 = 6 => 9 pairs (_) I4,H6: 7.. / I4 = 7 => 11 pairs (_) / H6 = 7 => 10 pairs (_) A4,I4: 7.. / A4 = 7 => 10 pairs (_) / I4 = 7 => 11 pairs (_) C5,C6: 9.. / C5 = 9 => 11 pairs (_) / C6 = 9 => 13 pairs (_) G4,H6: 9.. / G4 = 9 => 10 pairs (_) / H6 = 9 => 11 pairs (_) G7,H7: 9.. / G7 = 9 => 11 pairs (_) / H7 = 9 => 10 pairs (_) E4,G4: 9.. / E4 = 9 => 11 pairs (_) / G4 = 9 => 10 pairs (_) C5,E5: 9.. / C5 = 9 => 11 pairs (_) / E5 = 9 => 13 pairs (_) G4,G7: 9.. / G4 = 9 => 10 pairs (_) / G7 = 9 => 11 pairs (_) H6,H7: 9.. / H6 = 9 => 11 pairs (_) / H7 = 9 => 10 pairs (_) * DURATION: 0:00:11.370307 START: 05:52:49.019731 END: 05:53:00.390038 2025-04-04 * CP COUNT: (33) * CLUE FOUND * DEEP PAIR REDUCTION * DURATION: 0:00:06.314217 START: 05:53:09.531908 END: 05:53:15.846125 2025-04-04 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00005971-base-pr-002.dot * REASONING * PRF # E6: 3,4 # A3: 3,8 => SOL * STA # E6: 3,4 + A3: 3,8 * CNT 1 HDP CHAINS / 24 HYP OPENED
Header Info
rating: 1206; r2: 29164; index: 5971
Solution
position: 123456789457189236896723154264895317389617542715342698541268973678931425932574861 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 # E5: 3,6 => CTR => E5: 1,9 * INC # E5: 1,9 => UNS * DIS # D7: 3,6 => CTR => D7: 2,5,8 * INC # D7: 2,5,8 => UNS * INC # E6: 3,4 => UNS * INC # E6: 1,9 => UNS * INC # D1: 3,4 => UNS * INC # D1: 2,5,8 => UNS * INC # E4: 3,9 => UNS * INC # E4: 5,8 => UNS * INC # G7: 3,9 => UNS * INC # G7: 4,8 => UNS * INC # A5: 2,3 => UNS * INC # B5: 2,3 => UNS * INC # H7: 7,9 => UNS * DIS # H7: 2 => CTR => H7: 7,9 * INC # H7: 2,7 => UNS * INC # H7: 9 => UNS * CNT 18 HDP CHAINS / 18 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* DIS # E5: 3,6 => CTR => E5: 1,9 * INC E5: 1,9 # E6: 3,4 => UNS * INC E5: 1,9 # E6: 1,9 => UNS * INC E5: 1,9 # D1: 3,4 => UNS * INC E5: 1,9 # D1: 2,5,8 => UNS * INC E5: 1,9 # E4: 3,9 => UNS * INC E5: 1,9 # E4: 5,8 => UNS * INC E5: 1,9 # G7: 3,9 => UNS * INC E5: 1,9 # G7: 4,8 => UNS * INC E5: 1,9 # A5: 2,3 => UNS * INC E5: 1,9 # B5: 2,3 => UNS * INC E5: 1,9 # H7: 7,9 => UNS * DIS E5: 1,9 # H7: 2 => CTR => H7: 7,9 * INC E5: 1,9 + H7: 7,9 # E6: 1,9 => UNS * INC E5: 1,9 + H7: 7,9 # E6: 3,4 => UNS * INC E5: 1,9 + H7: 7,9 # E6: 3,4 => UNS * INC E5: 1,9 + H7: 7,9 # E6: 1,9 => UNS * INC E5: 1,9 + H7: 7,9 # D1: 3,4 => UNS * INC E5: 1,9 + H7: 7,9 # D1: 5,8 => UNS * INC E5: 1,9 + H7: 7,9 # E4: 3,9 => UNS * INC E5: 1,9 + H7: 7,9 # E4: 5,8 => UNS * INC E5: 1,9 + H7: 7,9 # G7: 3,9 => UNS * INC E5: 1,9 + H7: 7,9 # G7: 4,8 => UNS * INC E5: 1,9 + H7: 7,9 # A5: 2,3 => UNS * INC E5: 1,9 + H7: 7,9 # B5: 2,3 => UNS * STA E5: 1,9 + H7: 7,9 * CNT 25 HDP CHAINS / 25 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # E6: 1,9 => UNS * INC # E6: 3,4 => UNS * INC # E6: 3,4 => UNS * INC # E6: 1,9 => UNS * INC # D1: 3,4 => UNS * INC # D1: 5,8 => UNS * INC # E4: 3,9 => UNS * INC # E4: 5,8 => UNS * INC # G7: 3,9 => UNS * INC # G7: 4,8 => UNS * INC # A5: 2,3 => UNS * INC # B5: 2,3 => UNS * INC # E6: 1,9 # A5: 1,2 => UNS * INC # E6: 1,9 # A5: 8 => UNS * INC # E6: 1,9 # B5: 1,2 => UNS * INC # E6: 1,9 # B5: 8 => UNS * INC # E6: 1,9 # I7: 4,7 => UNS * INC # E6: 1,9 # I7: 5 => UNS * INC # E6: 1,9 # I8: 4,7 => UNS * INC # E6: 1,9 # I8: 5 => UNS * INC # E6: 1,9 => UNS * INC # E6: 3,4 # B2: 3,8 => UNS * PRF # E6: 3,4 # A3: 3,8 => SOL * STA # E6: 3,4 + A3: 3,8 * CNT 23 HDP CHAINS / 24 HYP OPENED