Analysis of xx-mith-te3-00002569-base.sdk
Contents
Original Sudoku
level: hard
position: .....6..94.7.89.3.9...3.....76..8...39..746..8.4...9...49...86......7425....4..91 initial
Autosolve
position: .....6..94.7.89.3.9...3.....76..8...39..746..8.4...9...49...86......7425....4..91 autosolve
Pair Reduction Variants
Pair Reduction Analysis
The following important HDP chains were detected:
* DIS # I3: 2,6 => CTR => I3: 4,7,8 * DIS # D8: 9 => CTR => D8: 6,8 * CNT 2 HDP CHAINS / 16 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction
The following important HDP chains were detected:
* DIS # I3: 2,6 => CTR => I3: 4,7,8 * DIS I3: 4,7,8 # D8: 9 => CTR => D8: 6,8 * STA I3: 4,7,8 + D8: 6,8 * CNT 2 HDP CHAINS / 13 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction Position
position: .....6..94.7.89.3696..3.....769.8...39..746..8.4.6.9...49...86.....97425....4..91 pair_reduction
See section Pair Reduction for the HDP chains leading to this result.
Deep Pair Reduction
Time used: 0:00:08.018837
The following important HDP chains were detected:
* DIS # H1: 1,5,8 # B1: 1,5 => CTR => B1: 2,3,8 * DIS # H1: 1,5,8 + B1: 2,3,8 # B2: 2 => CTR => B2: 1,5 * PRF # H1: 1,5,8 + B1: 2,3,8 + B2: 1,5 # A4: 2 => SOL * STA # H1: 1,5,8 + B1: 2,3,8 + B2: 1,5 + A4: 2 * CNT 3 HDP CHAINS / 24 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| .....6..94.7.89.3.9...3.....76..8...39..746..8.4...9...49...86......7425....4..91 | initial |
| .....6..94.7.89.3.9...3.....76..8...39..746..8.4...9...49...86......7425....4..91 | autosolve |
| .....6..94.7.89.3696..3.....769.8...39..746..8.4.6.9...49...86.....97425....4..91 | pair_reduction |
| 123456789457189236968732154276918543395274618814563972549321867631897425782645391 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (9) D1: 4,7 D3: 4,7 I2: 2,6 I5: 2,8 A8: 1,6 E8: 6,9 D9: 6,8 I7: 3,7 G9: 3,7 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) B1,C1: 3.. / B1 = 3 => 10 pairs (_) / C1 = 3 => 10 pairs (_) B8,C8: 3.. / B8 = 3 => 10 pairs (_) / C8 = 3 => 10 pairs (_) I7,G9: 3.. / I7 = 3 => 11 pairs (_) / G9 = 3 => 7 pairs (_) F9,G9: 3.. / F9 = 3 => 11 pairs (_) / G9 = 3 => 7 pairs (_) B1,B8: 3.. / B1 = 3 => 10 pairs (_) / B8 = 3 => 10 pairs (_) C1,C8: 3.. / C1 = 3 => 10 pairs (_) / C8 = 3 => 10 pairs (_) G4,G9: 3.. / G4 = 3 => 11 pairs (_) / G9 = 3 => 7 pairs (_) D1,D3: 4.. / D1 = 4 => 7 pairs (_) / D3 = 4 => 10 pairs (_) H4,I4: 4.. / H4 = 4 => 7 pairs (_) / I4 = 4 => 10 pairs (_) D1,H1: 4.. / D1 = 4 => 7 pairs (_) / H1 = 4 => 10 pairs (_) I3,I4: 4.. / I3 = 4 => 7 pairs (_) / I4 = 4 => 10 pairs (_) B2,B3: 6.. / B2 = 6 => 0 pairs (X) / B3 = 6 => 8 pairs (_) I2,I3: 6.. / I2 = 6 => 8 pairs (_) / I3 = 6 => 0 pairs (X) D6,E6: 6.. / D6 = 6 => 0 pairs (X) / E6 = 6 => 10 pairs (_) A8,A9: 6.. / A8 = 6 => 9 pairs (_) / A9 = 6 => 14 pairs (_) B2,I2: 6.. / B2 = 6 => 0 pairs (X) / I2 = 6 => 8 pairs (_) B3,I3: 6.. / B3 = 6 => 8 pairs (_) / I3 = 6 => 0 pairs (X) A9,D9: 6.. / A9 = 6 => 14 pairs (_) / D9 = 6 => 9 pairs (_) E6,E8: 6.. / E6 = 6 => 10 pairs (_) / E8 = 6 => 0 pairs (X) D1,D3: 7.. / D1 = 7 => 10 pairs (_) / D3 = 7 => 7 pairs (_) H6,I6: 7.. / H6 = 7 => 10 pairs (_) / I6 = 7 => 12 pairs (_) A7,A9: 7.. / A7 = 7 => 11 pairs (_) / A9 = 7 => 7 pairs (_) I7,G9: 7.. / I7 = 7 => 7 pairs (_) / G9 = 7 => 11 pairs (_) A7,I7: 7.. / A7 = 7 => 11 pairs (_) / I7 = 7 => 7 pairs (_) A9,G9: 7.. / A9 = 7 => 7 pairs (_) / G9 = 7 => 11 pairs (_) H5,I5: 8.. / H5 = 8 => 13 pairs (_) / I5 = 8 => 9 pairs (_) D8,D9: 8.. / D8 = 8 => 9 pairs (_) / D9 = 8 => 14 pairs (_) I3,I5: 8.. / I3 = 8 => 13 pairs (_) / I5 = 8 => 9 pairs (_) D4,E4: 9.. / D4 = 9 => 10 pairs (_) / E4 = 9 => 0 pairs (X) D8,E8: 9.. / D8 = 9 => 0 pairs (X) / E8 = 9 => 10 pairs (_) D4,D8: 9.. / D4 = 9 => 10 pairs (_) / D8 = 9 => 0 pairs (X) E4,E8: 9.. / E4 = 9 => 0 pairs (X) / E8 = 9 => 10 pairs (_) * DURATION: 0:00:09.318425 START: 05:04:17.120216 END: 05:04:26.438641 2025-04-04 * CP COUNT: (32) * CLUE FOUND * DEEP PAIR REDUCTION * DURATION: 0:00:07.883082 START: 05:04:32.081093 END: 05:04:39.964175 2025-04-04 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00002569-base-pr-002.dot * REASONING * DIS # H1: 1,5,8 # B1: 1,5 => CTR => B1: 2,3,8 * DIS # H1: 1,5,8 + B1: 2,3,8 # B2: 2 => CTR => B2: 1,5 * PRF # H1: 1,5,8 + B1: 2,3,8 + B2: 1,5 # A4: 2 => SOL * STA # H1: 1,5,8 + B1: 2,3,8 + B2: 1,5 + A4: 2 * CNT 3 HDP CHAINS / 24 HYP OPENED
Header Info
rating: 454; r2: 18617; index: 2569
Solution
position: 123456789457189236968732154276918543395274618814563972549321867631897425782645391 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 # H1: 4,7 => UNS * INC # H1: 1,5,8 => UNS * INC # H3: 4,7 => UNS * INC # I3: 4,7 => UNS * DIS # I3: 2,6 => CTR => I3: 4,7,8 * INC # I3: 4,7,8 => UNS * INC # B2: 2,6 => UNS * INC # B2: 1,5 => UNS * INC # I3: 2,8 => UNS * INC # I3: 4,6,7 => UNS * INC # D8: 6,9 => UNS * INC # D8: 8 => UNS * INC # D8: 6,8 => UNS * DIS # D8: 9 => CTR => D8: 6,8 * INC # I6: 3,7 => UNS * INC # I6: 2 => UNS * CNT 16 HDP CHAINS / 16 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # H1: 4,7 => UNS * INC # H1: 1,5,8 => UNS * INC # H3: 4,7 => UNS * INC # I3: 4,7 => UNS * DIS # I3: 2,6 => CTR => I3: 4,7,8 * INC I3: 4,7,8 # D8: 6,9 => UNS * INC I3: 4,7,8 # D8: 8 => UNS * INC I3: 4,7,8 # D8: 6,8 => UNS * DIS I3: 4,7,8 # D8: 9 => CTR => D8: 6,8 * INC I3: 4,7,8 + D8: 6,8 # H1: 4,7 => UNS * INC I3: 4,7,8 + D8: 6,8 # H1: 1,5,8 => UNS * INC I3: 4,7,8 + D8: 6,8 # H3: 4,7 => UNS * INC I3: 4,7,8 + D8: 6,8 # I3: 4,7 => UNS * STA I3: 4,7,8 + D8: 6,8 * CNT 13 HDP CHAINS / 13 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # H1: 4,7 => UNS * INC # H1: 1,5,8 => UNS * INC # H3: 4,7 => UNS * INC # I3: 4,7 => UNS * INC # H1: 4,7 # B8: 3,8 => UNS * INC # H1: 4,7 # B8: 1 => UNS * INC # H1: 4,7 # C8: 3,8 => UNS * INC # H1: 4,7 # C8: 1 => UNS * INC # H1: 4,7 # H3: 4,7 => UNS * INC # H1: 4,7 # I3: 4,7 => UNS * INC # H1: 4,7 # H3: 4,7 => UNS * INC # H1: 4,7 # I3: 4,7 => UNS * INC # H1: 4,7 => UNS * INC # H1: 1,5,8 # A4: 1,5 => UNS * INC # H1: 1,5,8 # C5: 1,5 => UNS * INC # H1: 1,5,8 # D6: 1,5 => UNS * INC # H1: 1,5,8 # F6: 1,5 => UNS * DIS # H1: 1,5,8 # B1: 1,5 => CTR => B1: 2,3,8 * INC # H1: 1,5,8 + B1: 2,3,8 # B2: 1,5 => UNS * INC # H1: 1,5,8 + B1: 2,3,8 # B2: 1,5 => UNS * DIS # H1: 1,5,8 + B1: 2,3,8 # B2: 2 => CTR => B2: 1,5 * INC # H1: 1,5,8 + B1: 2,3,8 + B2: 1,5 # A4: 1,5 => UNS * PRF # H1: 1,5,8 + B1: 2,3,8 + B2: 1,5 # A4: 2 => SOL * STA # H1: 1,5,8 + B1: 2,3,8 + B2: 1,5 + A4: 2 * CNT 23 HDP CHAINS / 24 HYP OPENED