Analysis of xx-mith-te3-00100278-base.sdk
Contents
Original Sudoku
level: hard
position: 1...56.89......2.68....215.239...61..812......74.........59.8.....6.8.9...8.2156. initial
Autosolve
position: 1...56.89......2.68....215.239...61..812......74.........59.8.....6.8.9...8.2156. autosolve
Pair Reduction Variants
Pair Reduction Analysis
The following important HDP chains were detected:
* DIS # I6: 2,3 => CTR => I6: 5,8 * DIS # I7: 3,4,7 => CTR => I7: 1,2 * CNT 2 HDP CHAINS / 30 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction
The following important HDP chains were detected:
* DIS # I6: 2,3 => CTR => I6: 5,8 * STA I6: 5,8 * CNT 1 HDP CHAINS / 53 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction Position
position: 1...56.89......2.68....215.239...61..812......74....2....59.8.....6.8.9...8.2156. pair_reduction
See section Pair Reduction for the HDP chains leading to this result.
Deep Pair Reduction
Time used: 0:00:16.028358
The following important HDP chains were detected:
* PRF # B3: 4,9 # D3: 3,7 => SOL * STA # B3: 4,9 + D3: 3,7 * CNT 1 HDP CHAINS / 66 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 1...56.89......2.68....215.239...61..812......74.........59.8.....6.8.9...8.2156. | initial |
| 1...56.89......2.68....215.239...61..812......74.........59.8.....6.8.9...8.2156. | autosolve |
| 1...56.89......2.68....215.239...61..812......74....2....59.8.....6.8.9...8.2156. | pair_reduction |
| 123456789457189236896372154239847615581263947674915328362594871715638492948721563 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (12) B1: 2,4 A2: 4,9 D2: 1,8 E2: 1,8 A5: 5,6 A6: 5,6 G6: 3,9 H6: 2,3 C7: 2,6 C8: 2,5 B9: 4,9 I8: 1,2 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) D2,E2: 1.. / D2 = 1 => 12 pairs (_) / E2 = 1 => 12 pairs (_) D6,E6: 1.. / D6 = 1 => 12 pairs (_) / E6 = 1 => 12 pairs (_) B7,B8: 1.. / B7 = 1 => 12 pairs (_) / B8 = 1 => 11 pairs (_) I7,I8: 1.. / I7 = 1 => 11 pairs (_) / I8 = 1 => 12 pairs (_) B7,I7: 1.. / B7 = 1 => 12 pairs (_) / I7 = 1 => 11 pairs (_) B8,I8: 1.. / B8 = 1 => 11 pairs (_) / I8 = 1 => 12 pairs (_) D2,D6: 1.. / D2 = 1 => 12 pairs (_) / D6 = 1 => 12 pairs (_) E2,E6: 1.. / E2 = 1 => 12 pairs (_) / E6 = 1 => 12 pairs (_) B1,C1: 2.. / B1 = 2 => 14 pairs (_) / C1 = 2 => 13 pairs (_) H6,I6: 2.. / H6 = 2 => 12 pairs (_) / I6 = 2 => 0 pairs (X) H6,H7: 2.. / H6 = 2 => 12 pairs (_) / H7 = 2 => 0 pairs (X) B2,C2: 5.. / B2 = 5 => 13 pairs (_) / C2 = 5 => 13 pairs (_) A5,A6: 5.. / A5 = 5 => 13 pairs (_) / A6 = 5 => 11 pairs (_) B8,C8: 5.. / B8 = 5 => 13 pairs (_) / C8 = 5 => 13 pairs (_) F4,I4: 5.. / F4 = 5 => 17 pairs (_) / I4 = 5 => 14 pairs (_) B2,B8: 5.. / B2 = 5 => 13 pairs (_) / B8 = 5 => 13 pairs (_) C2,C8: 5.. / C2 = 5 => 13 pairs (_) / C8 = 5 => 13 pairs (_) B3,C3: 6.. / B3 = 6 => 13 pairs (_) / C3 = 6 => 10 pairs (_) A5,A6: 6.. / A5 = 6 => 11 pairs (_) / A6 = 6 => 13 pairs (_) E5,E6: 6.. / E5 = 6 => 13 pairs (_) / E6 = 6 => 11 pairs (_) B7,C7: 6.. / B7 = 6 => 10 pairs (_) / C7 = 6 => 13 pairs (_) A5,E5: 6.. / A5 = 6 => 11 pairs (_) / E5 = 6 => 13 pairs (_) A6,E6: 6.. / A6 = 6 => 13 pairs (_) / E6 = 6 => 11 pairs (_) B3,B7: 6.. / B3 = 6 => 13 pairs (_) / B7 = 6 => 10 pairs (_) C3,C7: 6.. / C3 = 6 => 10 pairs (_) / C7 = 6 => 13 pairs (_) D2,E2: 8.. / D2 = 8 => 12 pairs (_) / E2 = 8 => 12 pairs (_) I4,I6: 8.. / I4 = 8 => 19 pairs (_) / I6 = 8 => 12 pairs (_) F2,D3: 9.. / F2 = 9 => 15 pairs (_) / D3 = 9 => 13 pairs (_) G5,G6: 9.. / G5 = 9 => 16 pairs (_) / G6 = 9 => 13 pairs (_) A9,B9: 9.. / A9 = 9 => 19 pairs (_) / B9 = 9 => 12 pairs (_) B3,D3: 9.. / B3 = 9 => 15 pairs (_) / D3 = 9 => 13 pairs (_) F5,G5: 9.. / F5 = 9 => 13 pairs (_) / G5 = 9 => 16 pairs (_) A2,A9: 9.. / A2 = 9 => 12 pairs (_) / A9 = 9 => 19 pairs (_) D3,D6: 9.. / D3 = 9 => 13 pairs (_) / D6 = 9 => 15 pairs (_) * DURATION: 0:00:10.859418 START: 16:36:02.440110 END: 16:36:13.299528 2025-04-06 * CP COUNT: (34) * CLUE FOUND * DEEP PAIR REDUCTION * DURATION: 0:00:15.825690 START: 16:36:28.422657 END: 16:36:44.248347 2025-04-06 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00100278-base-pr-002.dot * REASONING * PRF # B3: 4,9 # D3: 3,7 => SOL * STA # B3: 4,9 + D3: 3,7 * CNT 1 HDP CHAINS / 66 HYP OPENED
Header Info
rating: 25236; r2: 790854; index: 100278
Solution
position: 123456789457189236896372154239847615581263947674915328362594871715638492948721563 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 # B2: 4,9 => UNS * INC # B3: 4,9 => UNS * INC # F2: 4,9 => UNS * INC # F2: 3,7 => UNS * INC # A9: 4,9 => UNS * INC # A9: 3,7 => UNS * INC # D6: 1,8 => UNS * INC # D6: 3,9 => UNS * INC # E6: 1,8 => UNS * INC # E6: 3,6 => UNS * INC # G5: 3,9 => UNS * INC # G5: 4,7 => UNS * INC # D6: 3,9 => UNS * INC # F6: 3,9 => UNS * DIS # I6: 2,3 => CTR => I6: 5,8 * INC # I6: 5,8 => UNS * INC # H7: 2,3 => UNS * INC # H7: 4,7 => UNS * INC # B7: 2,6 => UNS * INC # B7: 1 => UNS * INC # B8: 2,5 => UNS * INC # B8: 1 => UNS * INC # A9: 4,9 => UNS * INC # A9: 3,7 => UNS * INC # B2: 4,9 => UNS * INC # B3: 4,9 => UNS * INC # I7: 1,2 => UNS * DIS # I7: 3,4,7 => CTR => I7: 1,2 * INC # B8: 1,2 => UNS * INC # B8: 5 => UNS * CNT 30 HDP CHAINS / 30 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # B2: 4,9 => UNS * INC # B3: 4,9 => UNS * INC # F2: 4,9 => UNS * INC # F2: 3,7 => UNS * INC # A9: 4,9 => UNS * INC # A9: 3,7 => UNS * INC # D6: 1,8 => UNS * INC # D6: 3,9 => UNS * INC # E6: 1,8 => UNS * INC # E6: 3,6 => UNS * INC # G5: 3,9 => UNS * INC # G5: 4,7 => UNS * INC # D6: 3,9 => UNS * INC # F6: 3,9 => UNS * DIS # I6: 2,3 => CTR => I6: 5,8 * INC I6: 5,8 # B7: 2,6 => UNS * INC I6: 5,8 # B7: 1 => UNS * INC I6: 5,8 # B8: 2,5 => UNS * INC I6: 5,8 # B8: 1 => UNS * INC I6: 5,8 # A9: 4,9 => UNS * INC I6: 5,8 # A9: 3,7 => UNS * INC I6: 5,8 # B2: 4,9 => UNS * INC I6: 5,8 # B3: 4,9 => UNS * INC I6: 5,8 # B8: 1,2 => UNS * INC I6: 5,8 # B8: 5 => UNS * INC I6: 5,8 # B2: 4,9 => UNS * INC I6: 5,8 # B3: 4,9 => UNS * INC I6: 5,8 # F2: 4,9 => UNS * INC I6: 5,8 # F2: 3,7 => UNS * INC I6: 5,8 # A9: 4,9 => UNS * INC I6: 5,8 # A9: 3,7 => UNS * INC I6: 5,8 # D6: 1,8 => UNS * INC I6: 5,8 # D6: 3,9 => UNS * INC I6: 5,8 # E6: 1,8 => UNS * INC I6: 5,8 # E6: 3,6 => UNS * INC I6: 5,8 # G5: 3,9 => UNS * INC I6: 5,8 # G5: 4,7 => UNS * INC I6: 5,8 # D6: 3,9 => UNS * INC I6: 5,8 # F6: 3,9 => UNS * INC I6: 5,8 # I4: 5,8 => UNS * INC I6: 5,8 # I4: 4,7 => UNS * INC I6: 5,8 # B7: 2,6 => UNS * INC I6: 5,8 # B7: 1 => UNS * INC I6: 5,8 # B8: 2,5 => UNS * INC I6: 5,8 # B8: 1 => UNS * INC I6: 5,8 # A9: 4,9 => UNS * INC I6: 5,8 # A9: 3,7 => UNS * INC I6: 5,8 # B2: 4,9 => UNS * INC I6: 5,8 # B3: 4,9 => UNS * INC I6: 5,8 # B7: 1,2 => UNS * INC I6: 5,8 # B7: 6 => UNS * INC I6: 5,8 # B8: 1,2 => UNS * INC I6: 5,8 # B8: 5 => UNS * STA I6: 5,8 * CNT 53 HDP CHAINS / 53 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # B2: 4,9 => UNS * INC # B3: 4,9 => UNS * INC # F2: 4,9 => UNS * INC # F2: 3,7 => UNS * INC # A9: 4,9 => UNS * INC # A9: 3,7 => UNS * INC # D6: 1,8 => UNS * INC # D6: 3,9 => UNS * INC # E6: 1,8 => UNS * INC # E6: 3,6 => UNS * INC # G5: 3,9 => UNS * INC # G5: 4,7 => UNS * INC # D6: 3,9 => UNS * INC # F6: 3,9 => UNS * INC # I4: 5,8 => UNS * INC # I4: 4,7 => UNS * INC # B7: 2,6 => UNS * INC # B7: 1 => UNS * INC # B8: 2,5 => UNS * INC # B8: 1 => UNS * INC # A9: 4,9 => UNS * INC # A9: 3,7 => UNS * INC # B2: 4,9 => UNS * INC # B3: 4,9 => UNS * INC # B7: 1,2 => UNS * INC # B7: 6 => UNS * INC # B8: 1,2 => UNS * INC # B8: 5 => UNS * INC # B2: 4,9 # D1: 3,7 => UNS * INC # B2: 4,9 # G1: 3,7 => UNS * INC # B2: 4,9 # A9: 4,9 => UNS * INC # B2: 4,9 # A9: 3,7 => UNS * INC # B2: 4,9 # E3: 3,7 => UNS * INC # B2: 4,9 # I3: 3,7 => UNS * INC # B2: 4,9 # D6: 1,8 => UNS * INC # B2: 4,9 # D6: 3 => UNS * INC # B2: 4,9 # E6: 1,8 => UNS * INC # B2: 4,9 # E6: 3,6 => UNS * INC # B2: 4,9 # D1: 3,7 => UNS * INC # B2: 4,9 # E3: 3,7 => UNS * INC # B2: 4,9 # F5: 3,7 => UNS * INC # B2: 4,9 # F7: 3,7 => UNS * INC # B2: 4,9 # G1: 3,7 => UNS * INC # B2: 4,9 # I3: 3,7 => UNS * INC # B2: 4,9 # H5: 3,7 => UNS * INC # B2: 4,9 # H7: 3,7 => UNS * INC # B2: 4,9 # G5: 3,9 => UNS * INC # B2: 4,9 # G5: 4,7 => UNS * INC # B2: 4,9 # F6: 3,9 => UNS * INC # B2: 4,9 # F6: 5 => UNS * INC # B2: 4,9 # I4: 5,8 => UNS * INC # B2: 4,9 # I4: 4,7 => UNS * INC # B2: 4,9 # A9: 4,9 => UNS * INC # B2: 4,9 # A9: 3,7 => UNS * INC # B2: 4,9 => UNS * INC # B3: 4,9 # D1: 3,7 => UNS * INC # B3: 4,9 # G1: 3,7 => UNS * INC # B3: 4,9 # F2: 4,9 => UNS * INC # B3: 4,9 # F2: 3,7 => UNS * INC # B3: 4,9 # A9: 4,9 => UNS * INC # B3: 4,9 # A9: 3,7 => UNS * INC # B3: 4,9 # F2: 3,7 => UNS * INC # B3: 4,9 # H2: 3,7 => UNS * INC # B3: 4,9 # D3: 4,9 => UNS * PRF # B3: 4,9 # D3: 3,7 => SOL * STA # B3: 4,9 + D3: 3,7 * CNT 65 HDP CHAINS / 66 HYP OPENED