Analysis of xx-mith-te3-00057010-base.sdk
Contents
Original Sudoku
level: hard
position: 1.3.......5..89...6......54....48..7.7.59..2....2.7.4....87..927.29.4..58.9....7. initial
Autosolve
position: 1.3.......5..89...6......54....48..7.7.59..2....2.7.4....87..927.29.4..58.9....7. autosolve
Pair Reduction Variants
Pair Reduction Analysis
The following important HDP chains were detected:
* DIS # B1: 8,9 => CTR => B1: 2,4 * DIS # G1: 6,8 => CTR => G1: 2,7,9 * DIS # I1: 6,8 => CTR => I1: 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 # B1: 8,9 => CTR => B1: 2,4 * DIS B1: 2,4 # G1: 6,8 => CTR => G1: 2,7,9 * DIS B1: 2,4 + G1: 2,7,9 # I1: 6,8 => CTR => I1: 9 * STA B1: 2,4 + G1: 2,7,9 + I1: 9 * CNT 3 HDP CHAINS / 22 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction Position
position: 1.3....89.57.89...698....54....48..7.7.59..28.8.2.7.4....87..927.29.48.58.9....7. pair_reduction
See section Pair Reduction for the HDP chains leading to this result.
Deep Pair Reduction
Time used: 0:00:11.192883
The following important HDP chains were detected:
* PRF # G3: 1,3 # H4: 1,6 => SOL * STA # G3: 1,3 + H4: 1,6 * CNT 1 HDP CHAINS / 36 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 1.3.......5..89...6......54....48..7.7.59..2....2.7.4....87..927.29.4..58.9....7. | initial |
| 1.3.......5..89...6......54....48..7.7.59..2....2.7.4....87..927.29.4..58.9....7. | autosolve |
| 1.3....89.57.89...698....54....48..7.7.59..28.8.2.7.4....87..927.29.48.58.9....7. | pair_reduction |
| 123456789457189236698732154265348917374591628981267543516873492732914865849625371 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (7) A2: 2,4 C2: 4,7 C3: 7,8 H1: 6,8 A5: 3,4 E9: 2,5 F9: 2,5 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) A4,B4: 2.. / A4 = 2 => 11 pairs (_) / B4 = 2 => 7 pairs (_) E9,F9: 2.. / E9 = 2 => 7 pairs (_) / F9 = 2 => 7 pairs (_) A2,G2: 2.. / A2 = 2 => 7 pairs (_) / G2 = 2 => 11 pairs (_) A2,A4: 2.. / A2 = 2 => 7 pairs (_) / A4 = 2 => 11 pairs (_) D1,D2: 4.. / D1 = 4 => 8 pairs (_) / D2 = 4 => 10 pairs (_) A5,C5: 4.. / A5 = 4 => 7 pairs (_) / C5 = 4 => 8 pairs (_) G7,G9: 4.. / G7 = 4 => 8 pairs (_) / G9 = 4 => 7 pairs (_) B1,D1: 4.. / B1 = 4 => 10 pairs (_) / D1 = 4 => 8 pairs (_) B9,G9: 4.. / B9 = 4 => 8 pairs (_) / G9 = 4 => 7 pairs (_) E1,F1: 5.. / E1 = 5 => 7 pairs (_) / F1 = 5 => 7 pairs (_) G4,G6: 5.. / G4 = 5 => 9 pairs (_) / G6 = 5 => 8 pairs (_) A7,C7: 5.. / A7 = 5 => 8 pairs (_) / C7 = 5 => 13 pairs (_) E9,F9: 5.. / E9 = 5 => 7 pairs (_) / F9 = 5 => 7 pairs (_) E1,E9: 5.. / E1 = 5 => 7 pairs (_) / E9 = 5 => 7 pairs (_) F1,F9: 5.. / F1 = 5 => 7 pairs (_) / F9 = 5 => 7 pairs (_) C2,C3: 7.. / C2 = 7 => 6 pairs (_) / C3 = 7 => 0 pairs (X) D1,G1: 7.. / D1 = 7 => 10 pairs (_) / G1 = 7 => 8 pairs (_) G8,H8: 8.. / G8 = 8 => 7 pairs (_) / H8 = 8 => 0 pairs (X) H1,H8: 8.. / H1 = 8 => 7 pairs (_) / H8 = 8 => 0 pairs (X) B1,B3: 9.. / B1 = 9 => 0 pairs (X) / B3 = 9 => 7 pairs (_) A4,A6: 9.. / A4 = 9 => 8 pairs (_) / A6 = 9 => 7 pairs (_) B3,G3: 9.. / B3 = 9 => 7 pairs (_) / G3 = 9 => 0 pairs (X) A4,G4: 9.. / A4 = 9 => 8 pairs (_) / G4 = 9 => 7 pairs (_) I1,I6: 9.. / I1 = 9 => 9 pairs (_) / I6 = 9 => 0 pairs (X) * DURATION: 0:00:05.609856 START: 16:58:30.280745 END: 16:58:35.890601 2025-04-04 * CP COUNT: (24) * CLUE FOUND * DEEP PAIR REDUCTION * DURATION: 0:00:11.052597 START: 16:58:42.953995 END: 16:58:54.006592 2025-04-04 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00057010-base-pr-002.dot * REASONING * PRF # G3: 1,3 # H4: 1,6 => SOL * STA # G3: 1,3 + H4: 1,6 * CNT 1 HDP CHAINS / 36 HYP OPENED
Header Info
rating: 11790; r2: 340339; index: 57010
Solution
position: 123456789457189236698732154265348917374591628981267543516873492732914865849625371 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 # B1: 2,4 => UNS * DIS # B1: 8,9 => CTR => B1: 2,4 * INC # D2: 4,7 => UNS * INC # D2: 1,3,6 => UNS * INC # G3: 7,8 => UNS * INC # G3: 1,2,3,9 => UNS * DIS # G1: 6,8 => CTR => G1: 2,7,9 * INC # G1: 2,7,9 => UNS * DIS # I1: 6,8 => CTR => I1: 9 * INC # I1: 9 => UNS * INC # H8: 6,8 => UNS * INC # H8: 1,3 => UNS * INC # A7: 3,4 => UNS * INC # A7: 5 => UNS * INC # E1: 2,5 => UNS * INC # E1: 6 => UNS * INC # F1: 2,5 => UNS * INC # F1: 6 => UNS * CNT 18 HDP CHAINS / 18 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # B1: 2,4 => UNS * DIS # B1: 8,9 => CTR => B1: 2,4 * DIS B1: 2,4 # G1: 6,8 => CTR => G1: 2,7,9 * DIS B1: 2,4 + G1: 2,7,9 # I1: 6,8 => CTR => I1: 9 * INC B1: 2,4 + G1: 2,7,9 + I1: 9 # A7: 3,4 => UNS * INC B1: 2,4 + G1: 2,7,9 + I1: 9 # A7: 5 => UNS * INC B1: 2,4 + G1: 2,7,9 + I1: 9 # E1: 2,5 => UNS * INC B1: 2,4 + G1: 2,7,9 + I1: 9 # E1: 6 => UNS * INC B1: 2,4 + G1: 2,7,9 + I1: 9 # F1: 2,5 => UNS * INC B1: 2,4 + G1: 2,7,9 + I1: 9 # F1: 6 => UNS * INC B1: 2,4 + G1: 2,7,9 + I1: 9 # G3: 2,7 => UNS * INC B1: 2,4 + G1: 2,7,9 + I1: 9 # G3: 1,3 => UNS * INC B1: 2,4 + G1: 2,7,9 + I1: 9 # A7: 3,4 => UNS * INC B1: 2,4 + G1: 2,7,9 + I1: 9 # A7: 5 => UNS * INC B1: 2,4 + G1: 2,7,9 + I1: 9 # A4: 5,9 => UNS * INC B1: 2,4 + G1: 2,7,9 + I1: 9 # A4: 2,3 => UNS * INC B1: 2,4 + G1: 2,7,9 + I1: 9 # A6: 5,9 => UNS * INC B1: 2,4 + G1: 2,7,9 + I1: 9 # A6: 3 => UNS * INC B1: 2,4 + G1: 2,7,9 + I1: 9 # E1: 2,5 => UNS * INC B1: 2,4 + G1: 2,7,9 + I1: 9 # E1: 6 => UNS * INC B1: 2,4 + G1: 2,7,9 + I1: 9 # F1: 2,5 => UNS * INC B1: 2,4 + G1: 2,7,9 + I1: 9 # F1: 6 => UNS * STA B1: 2,4 + G1: 2,7,9 + I1: 9 * CNT 22 HDP CHAINS / 22 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # G3: 2,7 => UNS * INC # G3: 1,3 => UNS * INC # A7: 3,4 => UNS * INC # A7: 5 => UNS * INC # A4: 5,9 => UNS * INC # A4: 2,3 => UNS * INC # A6: 5,9 => UNS * INC # A6: 3 => UNS * INC # E1: 2,5 => UNS * INC # E1: 6 => UNS * INC # F1: 2,5 => UNS * INC # F1: 6 => UNS * INC # G3: 2,7 # A4: 5,9 => UNS * INC # G3: 2,7 # A4: 3 => UNS * INC # G3: 2,7 # A6: 5,9 => UNS * INC # G3: 2,7 # A6: 3 => UNS * INC # G3: 2,7 # E1: 2,5 => UNS * INC # G3: 2,7 # E1: 6 => UNS * INC # G3: 2,7 # F1: 2,5 => UNS * INC # G3: 2,7 # F1: 6 => UNS * INC # G3: 2,7 => UNS * INC # G3: 1,3 # E3: 1,3 => UNS * INC # G3: 1,3 # F3: 1,3 => UNS * INC # G3: 1,3 # H2: 1,3 => UNS * INC # G3: 1,3 # I2: 1,3 => UNS * INC # G3: 1,3 # D4: 1,3 => UNS * INC # G3: 1,3 # D9: 1,3 => UNS * INC # G3: 1,3 # H2: 1,3 => UNS * INC # G3: 1,3 # I2: 1,3 => UNS * INC # G3: 1,3 # E3: 1,3 => UNS * INC # G3: 1,3 # F3: 1,3 => UNS * INC # G3: 1,3 # G7: 1,3 => UNS * INC # G3: 1,3 # G9: 1,3 => UNS * INC # G3: 1,3 # D4: 1,6 => UNS * PRF # G3: 1,3 # H4: 1,6 => SOL * STA # G3: 1,3 + H4: 1,6 * CNT 35 HDP CHAINS / 36 HYP OPENED