Analysis of xx-mith-te3-00041212-base.sdk
Contents
Original Sudoku
level: hard
position: 12..56..9.5.1.92.6.......5...156.......9.8.....8.12...3.....86.7.6...91...569.... initial
Autosolve
position: 12..56..9.5.1.92.6......15...156.......9.8..1..8.12...3.....86.746...91...569.... autosolve
Pair Reduction Variants
Pair Reduction Analysis
The following important HDP chains were detected:
* DIS # A3: 4,8 => CTR => A3: 6,9 * CNT 1 HDP CHAINS / 10 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction
The following important HDP chains were detected:
* DIS # A3: 4,8 => CTR => A3: 6,9 * STA A3: 6,9 * CNT 1 HDP CHAINS / 21 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction Position
position: 12..56..9.5.1.92.6......15...156.......9.8..1..8.12...3.....86.746...91...569.... pair_reduction
See section Pair Reduction for the HDP chains leading to this result.
Deep Pair Reduction
Time used: 0:00:05.442715
The following important HDP chains were detected:
* DIS # E2: 4,8 # B3: 3,7 => CTR => B3: 6,8,9 * PRF # E2: 4,8 + B3: 6,8,9 # B3: 8 => SOL * STA # E2: 4,8 + B3: 6,8,9 + B3: 8 * CNT 2 HDP CHAINS / 20 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 12..56..9.5.1.92.6.......5...156.......9.8.....8.12...3.....86.7.6...91...569.... | initial |
| 12..56..9.5.1.92.6......15...156.......9.8..1..8.12...3.....86.746...91...569.... | autosolve |
| 12..56..9.5.1.92.6......15...156.......9.8..1..8.12...3.....86.746...91...569.... | pair_reduction |
| 123456789457189236689237154271564398534978621968312547392741865746825913815693472 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (8) A2: 4,8 G5: 5,6 G6: 5,6 B7: 1,9 C7: 2,9 A9: 2,8 B9: 1,8 F8: 3,5 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) B7,B9: 1.. / B7 = 1 => 10 pairs (_) / B9 = 1 => 23 pairs (_) F7,F9: 1.. / F7 = 1 => 23 pairs (_) / F9 = 1 => 10 pairs (_) B7,F7: 1.. / B7 = 1 => 10 pairs (_) / F7 = 1 => 23 pairs (_) B9,F9: 1.. / B9 = 1 => 23 pairs (_) / F9 = 1 => 10 pairs (_) D3,E3: 2.. / D3 = 2 => 10 pairs (_) / E3 = 2 => 10 pairs (_) C7,A9: 2.. / C7 = 2 => 23 pairs (_) / A9 = 2 => 10 pairs (_) C5,C7: 2.. / C5 = 2 => 10 pairs (_) / C7 = 2 => 23 pairs (_) A5,A6: 5.. / A5 = 5 => 7 pairs (_) / A6 = 5 => 6 pairs (_) G5,G6: 5.. / G5 = 5 => 6 pairs (_) / G6 = 5 => 7 pairs (_) F7,F8: 5.. / F7 = 5 => 13 pairs (_) / F8 = 5 => 9 pairs (_) I7,I8: 5.. / I7 = 5 => 9 pairs (_) / I8 = 5 => 13 pairs (_) A5,G5: 5.. / A5 = 5 => 7 pairs (_) / G5 = 5 => 6 pairs (_) A6,G6: 5.. / A6 = 5 => 6 pairs (_) / G6 = 5 => 7 pairs (_) F7,I7: 5.. / F7 = 5 => 13 pairs (_) / I7 = 5 => 9 pairs (_) F8,I8: 5.. / F8 = 5 => 9 pairs (_) / I8 = 5 => 13 pairs (_) A3,B3: 6.. / A3 = 6 => 13 pairs (_) / B3 = 6 => 13 pairs (_) G5,G6: 6.. / G5 = 6 => 7 pairs (_) / G6 = 6 => 6 pairs (_) H4,I4: 8.. / H4 = 8 => 0 pairs (X) / I4 = 8 => 8 pairs (_) A9,B9: 8.. / A9 = 8 => 23 pairs (_) / B9 = 8 => 10 pairs (_) D8,E8: 8.. / D8 = 8 => 9 pairs (_) / E8 = 8 => 9 pairs (_) D1,H1: 8.. / D1 = 8 => 9 pairs (_) / H1 = 8 => 8 pairs (_) B3,B9: 8.. / B3 = 8 => 23 pairs (_) / B9 = 8 => 10 pairs (_) I3,I4: 8.. / I3 = 8 => 0 pairs (X) / I4 = 8 => 8 pairs (_) H4,H6: 9.. / H4 = 9 => 19 pairs (_) / H6 = 9 => 8 pairs (_) B7,C7: 9.. / B7 = 9 => 23 pairs (_) / C7 = 9 => 10 pairs (_) C3,C7: 9.. / C3 = 9 => 23 pairs (_) / C7 = 9 => 10 pairs (_) * DURATION: 0:00:08.532590 START: 13:42:36.270843 END: 13:42:44.803433 2025-04-04 * CP COUNT: (26) * CLUE FOUND * DEEP PAIR REDUCTION * DURATION: 0:00:05.320295 START: 13:42:50.557441 END: 13:42:55.877736 2025-04-04 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00041212-base-pr-002.dot * REASONING * DIS # E2: 4,8 # B3: 3,7 => CTR => B3: 6,8,9 * PRF # E2: 4,8 + B3: 6,8,9 # B3: 8 => SOL * STA # E2: 4,8 + B3: 6,8,9 + B3: 8 * CNT 2 HDP CHAINS / 20 HYP OPENED
Header Info
rating: 8550; r2: 293956; index: 41212
Solution
position: 123456789457189236689237154271564398534978621968312547392741865746825913815693472 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 # A3: 4,8 => CTR => A3: 6,9 * INC # A3: 6,9 => UNS * INC # E2: 4,8 => UNS * INC # H2: 4,8 => UNS * INC # A5: 5,6 => UNS * INC # A5: 2,4 => UNS * INC # A6: 5,6 => UNS * INC # A6: 4,9 => UNS * INC # I8: 3,5 => UNS * INC # I8: 2 => UNS * CNT 10 HDP CHAINS / 10 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* DIS # A3: 4,8 => CTR => A3: 6,9 * INC A3: 6,9 # E2: 4,8 => UNS * INC A3: 6,9 # H2: 4,8 => UNS * INC A3: 6,9 # A5: 5,6 => UNS * INC A3: 6,9 # A5: 2,4 => UNS * INC A3: 6,9 # A6: 5,6 => UNS * INC A3: 6,9 # A6: 4,9 => UNS * INC A3: 6,9 # I8: 3,5 => UNS * INC A3: 6,9 # I8: 2 => UNS * INC A3: 6,9 # E2: 4,8 => UNS * INC A3: 6,9 # H2: 4,8 => UNS * INC A3: 6,9 # B3: 6,9 => UNS * INC A3: 6,9 # B3: 3,7,8 => UNS * INC A3: 6,9 # A6: 6,9 => UNS * INC A3: 6,9 # A6: 4,5 => UNS * INC A3: 6,9 # A5: 5,6 => UNS * INC A3: 6,9 # A5: 2,4 => UNS * INC A3: 6,9 # A6: 5,6 => UNS * INC A3: 6,9 # A6: 4,9 => UNS * INC A3: 6,9 # I8: 3,5 => UNS * INC A3: 6,9 # I8: 2 => UNS * STA A3: 6,9 * CNT 21 HDP CHAINS / 21 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # E2: 4,8 => UNS * INC # H2: 4,8 => UNS * INC # B3: 6,9 => UNS * INC # B3: 3,7,8 => UNS * INC # A6: 6,9 => UNS * INC # A6: 4,5 => UNS * INC # A5: 5,6 => UNS * INC # A5: 2,4 => UNS * INC # A6: 5,6 => UNS * INC # A6: 4,9 => UNS * INC # I8: 3,5 => UNS * INC # I8: 2 => UNS * INC # E2: 4,8 # C1: 3,7 => UNS * DIS # E2: 4,8 # B3: 3,7 => CTR => B3: 6,8,9 * INC # E2: 4,8 + B3: 6,8,9 # C3: 3,7 => UNS * INC # E2: 4,8 + B3: 6,8,9 # C1: 3,7 => UNS * INC # E2: 4,8 + B3: 6,8,9 # C3: 3,7 => UNS * INC # E2: 4,8 + B3: 6,8,9 # B3: 6,9 => UNS * PRF # E2: 4,8 + B3: 6,8,9 # B3: 8 => SOL * STA # E2: 4,8 + B3: 6,8,9 + B3: 8 * CNT 19 HDP CHAINS / 20 HYP OPENED