Analysis of xx-mith-te3-00082952-base.sdk
Contents
Original Sudoku
level: hard
position: .23..6...45...9.3..........24....9.........18.....52473.269.4...6..24....945.36.. initial
Autosolve
position: .23..6...45...9.3..........24....9.........18.....52473.269.4...6..24....945.36.. autosolve
Pair Reduction Variants
Pair Reduction Analysis
The following important HDP chains were detected:
* DIS # D5: 2,7 => CTR => D5: 3,4,9 * CNT 1 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 # D5: 2,7 => CTR => D5: 3,4,9 * STA D5: 3,4,9 * CNT 1 HDP CHAINS / 25 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction Position
position: .23..6...45...9.3..........24....9.......2.18.....52473.269.4...6..24....945.36.. pair_reduction
See section Pair Reduction for the HDP chains leading to this result.
Deep Pair Reduction
Time used: 0:00:13.053109
The following important HDP chains were detected:
* DIS # I4: 5,6 # C2: 1,8 => CTR => C2: 6,7 * DIS # I4: 5,6 + C2: 6,7 # A3: 1,8 => CTR => A3: 6,7,9 * DIS # I4: 5,6 + C2: 6,7 + A3: 6,7,9 # C3: 1,8 => CTR => C3: 6,7,9 * DIS # I4: 5,6 + C2: 6,7 + A3: 6,7,9 + C3: 6,7,9 # D3: 1,8 => CTR => D3: 2,3,7 * DIS # I4: 5,6 + C2: 6,7 + A3: 6,7,9 + C3: 6,7,9 + D3: 2,3,7 # E3: 1,8 => CTR => E3: 3,5,7 * DIS # I4: 5,6 + C2: 6,7 + A3: 6,7,9 + C3: 6,7,9 + D3: 2,3,7 + E3: 3,5,7 # G3: 1,8 => CTR => G3: 5,7 * PRF # I4: 5,6 + C2: 6,7 + A3: 6,7,9 + C3: 6,7,9 + D3: 2,3,7 + E3: 3,5,7 + G3: 5,7 # G1: 7,8 => SOL * STA # I4: 5,6 + C2: 6,7 + A3: 6,7,9 + C3: 6,7,9 + D3: 2,3,7 + E3: 3,5,7 + G3: 5,7 + G1: 7,8 * CNT 7 HDP CHAINS / 54 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| .23..6...45...9.3..........24....9.........18.....52473.269.4...6..24....945.36.. | initial |
| .23..6...45...9.3..........24....9.........18.....52473.269.4...6..24....945.36.. | autosolve |
| .23..6...45...9.3..........24....9.......2.18.....52473.269.4...6..24....945.36.. | pair_reduction |
| 123456789456789132789231564248317956675942318931865247312698475567124893894573621 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (6) B5: 3,7 F5: 2,7 H4: 5,6 G5: 3,5 I7: 1,5 I9: 1,2 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) D5,F5: 2.. / D5 = 2 => 0 pairs (X) / F5 = 2 => 5 pairs (_) H9,I9: 2.. / H9 = 2 => 11 pairs (_) / I9 = 2 => 6 pairs (_) D2,I2: 2.. / D2 = 2 => 6 pairs (_) / I2 = 2 => 10 pairs (_) F3,F5: 2.. / F3 = 2 => 0 pairs (X) / F5 = 2 => 5 pairs (_) H3,H9: 2.. / H3 = 2 => 6 pairs (_) / H9 = 2 => 11 pairs (_) D3,E3: 3.. / D3 = 3 => 6 pairs (_) / E3 = 3 => 6 pairs (_) B5,B6: 3.. / B5 = 3 => 14 pairs (_) / B6 = 3 => 6 pairs (_) I4,G5: 3.. / I4 = 3 => 12 pairs (_) / G5 = 3 => 15 pairs (_) G8,I8: 3.. / G8 = 3 => 12 pairs (_) / I8 = 3 => 15 pairs (_) G5,G8: 3.. / G5 = 3 => 15 pairs (_) / G8 = 3 => 12 pairs (_) I4,I8: 3.. / I4 = 3 => 12 pairs (_) / I8 = 3 => 15 pairs (_) I1,I3: 4.. / I1 = 4 => 8 pairs (_) / I3 = 4 => 8 pairs (_) D5,E5: 4.. / D5 = 4 => 8 pairs (_) / E5 = 4 => 6 pairs (_) E1,E3: 5.. / E1 = 5 => 6 pairs (_) / E3 = 5 => 8 pairs (_) A8,C8: 5.. / A8 = 5 => 6 pairs (_) / C8 = 5 => 16 pairs (_) H7,I7: 5.. / H7 = 5 => 7 pairs (_) / I7 = 5 => 7 pairs (_) A5,A8: 5.. / A5 = 5 => 16 pairs (_) / A8 = 5 => 6 pairs (_) E5,E6: 6.. / E5 = 6 => 8 pairs (_) / E6 = 6 => 6 pairs (_) H4,I4: 6.. / H4 = 6 => 6 pairs (_) / I4 = 6 => 9 pairs (_) C2,I2: 6.. / C2 = 6 => 10 pairs (_) / I2 = 6 => 5 pairs (_) H3,H4: 6.. / H3 = 6 => 9 pairs (_) / H4 = 6 => 6 pairs (_) D5,D6: 9.. / D5 = 9 => 5 pairs (_) / D6 = 9 => 6 pairs (_) H8,I8: 9.. / H8 = 9 => 11 pairs (_) / I8 = 9 => 12 pairs (_) * DURATION: 0:00:05.354112 START: 21:50:03.500656 END: 21:50:08.854768 2025-04-04 * CP COUNT: (23) * CLUE FOUND * DEEP PAIR REDUCTION * DURATION: 0:00:12.889305 START: 21:50:16.034547 END: 21:50:28.923852 2025-04-04 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00082952-base-pr-002.dot * REASONING * DIS # I4: 5,6 # C2: 1,8 => CTR => C2: 6,7 * DIS # I4: 5,6 + C2: 6,7 # A3: 1,8 => CTR => A3: 6,7,9 * DIS # I4: 5,6 + C2: 6,7 + A3: 6,7,9 # C3: 1,8 => CTR => C3: 6,7,9 * DIS # I4: 5,6 + C2: 6,7 + A3: 6,7,9 + C3: 6,7,9 # D3: 1,8 => CTR => D3: 2,3,7 * DIS # I4: 5,6 + C2: 6,7 + A3: 6,7,9 + C3: 6,7,9 + D3: 2,3,7 # E3: 1,8 => CTR => E3: 3,5,7 * DIS # I4: 5,6 + C2: 6,7 + A3: 6,7,9 + C3: 6,7,9 + D3: 2,3,7 + E3: 3,5,7 # G3: 1,8 => CTR => G3: 5,7 * PRF # I4: 5,6 + C2: 6,7 + A3: 6,7,9 + C3: 6,7,9 + D3: 2,3,7 + E3: 3,5,7 + G3: 5,7 # G1: 7,8 => SOL * STA # I4: 5,6 + C2: 6,7 + A3: 6,7,9 + C3: 6,7,9 + D3: 2,3,7 + E3: 3,5,7 + G3: 5,7 + G1: 7,8 * CNT 7 HDP CHAINS / 54 HYP OPENED
Header Info
rating: 20392; r2: 438004; index: 82952
Solution
position: 123456789456789132789231564248317956675942318931865247312698475567124893894573621 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 # D5: 3,7 => UNS * INC # E5: 3,7 => UNS * DIS # D5: 2,7 => CTR => D5: 3,4,9 * INC # D5: 3,4,9 => UNS * INC # F3: 2,7 => UNS * INC # F3: 1,8 => UNS * INC # I4: 5,6 => UNS * INC # I4: 3 => UNS * INC # H3: 5,6 => UNS * INC # H3: 2,7,8,9 => UNS * INC # I4: 3,5 => UNS * INC # I4: 6 => UNS * INC # I1: 1,5 => UNS * INC # I3: 1,5 => UNS * INC # I2: 1,2 => UNS * INC # I3: 1,2 => UNS * CNT 16 HDP CHAINS / 16 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # D5: 3,7 => UNS * INC # E5: 3,7 => UNS * DIS # D5: 2,7 => CTR => D5: 3,4,9 * INC D5: 3,4,9 # I4: 5,6 => UNS * INC D5: 3,4,9 # I4: 3 => UNS * INC D5: 3,4,9 # H3: 5,6 => UNS * INC D5: 3,4,9 # H3: 2,7,8,9 => UNS * INC D5: 3,4,9 # I4: 3,5 => UNS * INC D5: 3,4,9 # I4: 6 => UNS * INC D5: 3,4,9 # I1: 1,5 => UNS * INC D5: 3,4,9 # I3: 1,5 => UNS * INC D5: 3,4,9 # I2: 1,2 => UNS * INC D5: 3,4,9 # I3: 1,2 => UNS * INC D5: 3,4,9 # E5: 3,7 => UNS * INC D5: 3,4,9 # E5: 4,6 => UNS * INC D5: 3,4,9 # I4: 5,6 => UNS * INC D5: 3,4,9 # I4: 3 => UNS * INC D5: 3,4,9 # H3: 5,6 => UNS * INC D5: 3,4,9 # H3: 2,7,8,9 => UNS * INC D5: 3,4,9 # I4: 3,5 => UNS * INC D5: 3,4,9 # I4: 6 => UNS * INC D5: 3,4,9 # I1: 1,5 => UNS * INC D5: 3,4,9 # I3: 1,5 => UNS * INC D5: 3,4,9 # I2: 1,2 => UNS * INC D5: 3,4,9 # I3: 1,2 => UNS * STA D5: 3,4,9 * CNT 25 HDP CHAINS / 25 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # E5: 3,7 => UNS * INC # E5: 4,6 => UNS * INC # I4: 5,6 => UNS * INC # I4: 3 => UNS * INC # H3: 5,6 => UNS * INC # H3: 2,7,8,9 => UNS * INC # I4: 3,5 => UNS * INC # I4: 6 => UNS * INC # I1: 1,5 => UNS * INC # I3: 1,5 => UNS * INC # I2: 1,2 => UNS * INC # I3: 1,2 => UNS * INC # E5: 3,7 # A1: 1,8 => UNS * INC # E5: 3,7 # C2: 1,8 => UNS * INC # E5: 3,7 # F3: 1,8 => UNS * INC # E5: 3,7 # G3: 1,8 => UNS * INC # E5: 3,7 # I1: 4,5 => UNS * INC # E5: 3,7 # I1: 9 => UNS * INC # E5: 3,7 # I3: 4,5 => UNS * INC # E5: 3,7 # I3: 2 => UNS * INC # E5: 3,7 # I1: 5,9 => UNS * INC # E5: 3,7 # I1: 4 => UNS * INC # E5: 3,7 # I3: 2,5 => UNS * INC # E5: 3,7 # I3: 4 => UNS * INC # E5: 3,7 # A1: 1,8 => UNS * INC # E5: 3,7 # A9: 1,8 => UNS * INC # E5: 3,7 # C2: 1,8 => UNS * INC # E5: 3,7 # C8: 1,8 => UNS * INC # E5: 3,7 # C8: 1,8 => UNS * INC # E5: 3,7 # A9: 1,8 => UNS * INC # E5: 3,7 # F7: 1,8 => UNS * INC # E5: 3,7 # F7: 7 => UNS * INC # E5: 3,7 => UNS * INC # E5: 4,6 # I4: 5,6 => UNS * INC # E5: 4,6 # I4: 3 => UNS * INC # E5: 4,6 # H3: 5,6 => UNS * INC # E5: 4,6 # H3: 2,7,8,9 => UNS * INC # E5: 4,6 # I4: 3,5 => UNS * INC # E5: 4,6 # I4: 6 => UNS * INC # E5: 4,6 # I1: 1,5 => UNS * INC # E5: 4,6 # I3: 1,5 => UNS * INC # E5: 4,6 # I2: 1,2 => UNS * INC # E5: 4,6 # I3: 1,2 => UNS * INC # E5: 4,6 => UNS * INC # I4: 5,6 # A1: 1,8 => UNS * DIS # I4: 5,6 # C2: 1,8 => CTR => C2: 6,7 * DIS # I4: 5,6 + C2: 6,7 # A3: 1,8 => CTR => A3: 6,7,9 * DIS # I4: 5,6 + C2: 6,7 + A3: 6,7,9 # C3: 1,8 => CTR => C3: 6,7,9 * DIS # I4: 5,6 + C2: 6,7 + A3: 6,7,9 + C3: 6,7,9 # D3: 1,8 => CTR => D3: 2,3,7 * DIS # I4: 5,6 + C2: 6,7 + A3: 6,7,9 + C3: 6,7,9 + D3: 2,3,7 # E3: 1,8 => CTR => E3: 3,5,7 * INC # I4: 5,6 + C2: 6,7 + A3: 6,7,9 + C3: 6,7,9 + D3: 2,3,7 + E3: 3,5,7 # F3: 1,8 => UNS * DIS # I4: 5,6 + C2: 6,7 + A3: 6,7,9 + C3: 6,7,9 + D3: 2,3,7 + E3: 3,5,7 # G3: 1,8 => CTR => G3: 5,7 * PRF # I4: 5,6 + C2: 6,7 + A3: 6,7,9 + C3: 6,7,9 + D3: 2,3,7 + E3: 3,5,7 + G3: 5,7 # G1: 7,8 => SOL * STA # I4: 5,6 + C2: 6,7 + A3: 6,7,9 + C3: 6,7,9 + D3: 2,3,7 + E3: 3,5,7 + G3: 5,7 + G1: 7,8 * CNT 53 HDP CHAINS / 54 HYP OPENED