Analysis of xx-mith-te3-00088124-base.sdk
Contents
Original Sudoku
level: hard
position: 1..4.678.4..18.2.66...27.1423....8..71...2....65...4........6....62.817...16...4. initial
Autosolve
position: 1..4.678.4..18.2.66...27.1423....8..71...2....65...42.......6....62.817...16...4. autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:10.215512
The following important HDP chains were detected:
* DIS # C5: 8 # C2: 3,9 => CTR => C2: 7 * DIS # C5: 8 + C2: 7 # C1: 2 => CTR => C1: 3,9 * DIS # C5: 8 + C2: 7 + C1: 3,9 # G3: 3,9 => CTR => G3: 5 * PRF # C5: 8 + C2: 7 + C1: 3,9 + G3: 5 # D4: 5,9 => SOL * STA # C5: 8 + C2: 7 + C1: 3,9 + G3: 5 + D4: 5,9 * CNT 4 HDP CHAINS / 39 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 1..4.678.4..18.2.66...27.1423....8..71...2....65...4........6....62.817...16...4. | initial |
| 1..4.678.4..18.2.66...27.1423....8..71...2....65...42.......6....62.817...16...4. | autosolve |
| 123456789457189236689327514234561897718942365965873421392714658546298173871635942 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (7) C4: 4,9 A6: 8,9 I4: 1,7 I6: 1,7 B8: 4,9 I7: 2,8 I9: 2,8 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) I4,I6: 1.. / I4 = 1 => 5 pairs (_) / I6 = 1 => 11 pairs (_) E7,F7: 1.. / E7 = 1 => 7 pairs (_) / F7 = 1 => 12 pairs (_) B1,C1: 2.. / B1 = 2 => 7 pairs (_) / C1 = 2 => 8 pairs (_) I7,I9: 2.. / I7 = 2 => 6 pairs (_) / I9 = 2 => 5 pairs (_) B9,I9: 2.. / B9 = 2 => 6 pairs (_) / I9 = 2 => 5 pairs (_) C1,C7: 2.. / C1 = 2 => 8 pairs (_) / C7 = 2 => 7 pairs (_) C4,C5: 4.. / C4 = 4 => 7 pairs (_) / C5 = 4 => 13 pairs (_) B7,B8: 4.. / B7 = 4 => 0 pairs (X) / B8 = 4 => 8 pairs (_) C5,E5: 4.. / C5 = 4 => 13 pairs (_) / E5 = 4 => 7 pairs (_) B8,E8: 4.. / B8 = 4 => 8 pairs (_) / E8 = 4 => 0 pairs (X) F4,F7: 4.. / F4 = 4 => 12 pairs (_) / F7 = 4 => 8 pairs (_) E4,E5: 6.. / E4 = 6 => 8 pairs (_) / E5 = 6 => 11 pairs (_) H4,H5: 6.. / H4 = 6 => 11 pairs (_) / H5 = 6 => 8 pairs (_) E4,H4: 6.. / E4 = 6 => 8 pairs (_) / H4 = 6 => 11 pairs (_) E5,H5: 6.. / E5 = 6 => 11 pairs (_) / H5 = 6 => 8 pairs (_) B2,C2: 7.. / B2 = 7 => 9 pairs (_) / C2 = 7 => 8 pairs (_) I4,I6: 7.. / I4 = 7 => 11 pairs (_) / I6 = 7 => 5 pairs (_) B9,E9: 7.. / B9 = 7 => 0 pairs (*) / E9 = 7 => 0 pairs (X) C2,C7: 7.. / C2 = 7 => 8 pairs (_) / C7 = 7 => 9 pairs (_) B3,C3: 8.. / B3 = 8 => 8 pairs (_) / C3 = 8 => 14 pairs (_) C5,A6: 8.. / C5 = 8 => 10 pairs (_) / A6 = 8 => 13 pairs (_) D5,D6: 8.. / D5 = 8 => 13 pairs (_) / D6 = 8 => 10 pairs (_) I7,I9: 8.. / I7 = 8 => 5 pairs (_) / I9 = 8 => 6 pairs (_) C5,D5: 8.. / C5 = 8 => 10 pairs (_) / D5 = 8 => 13 pairs (_) A6,D6: 8.. / A6 = 8 => 13 pairs (_) / D6 = 8 => 10 pairs (_) * DURATION: 0:00:08.102392 START: 12:45:17.618838 END: 12:45:25.721230 2025-04-06 * CP COUNT: (25) * SOLUTION FOUND * DEEP PAIR REDUCTION * DURATION: 0:00:10.035905 START: 12:45:33.897144 END: 12:45:43.933049 2025-04-06 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00088124-base-pr-002.dot * REASONING * DIS # C5: 8 # C2: 3,9 => CTR => C2: 7 * DIS # C5: 8 + C2: 7 # C1: 2 => CTR => C1: 3,9 * DIS # C5: 8 + C2: 7 + C1: 3,9 # G3: 3,9 => CTR => G3: 5 * PRF # C5: 8 + C2: 7 + C1: 3,9 + G3: 5 # D4: 5,9 => SOL * STA # C5: 8 + C2: 7 + C1: 3,9 + G3: 5 + D4: 5,9 * CNT 4 HDP CHAINS / 39 HYP OPENED
Header Info
rating: 22045; r2: 457845; index: 88124
Solution
position: 123456789457189236689327514234561897718942365965873421392714658546298173871635942 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 # C5: 4,9 => UNS * INC # C5: 8 => UNS * INC # E4: 4,9 => UNS * INC # F4: 4,9 => UNS * INC # C5: 8,9 => UNS * INC # C5: 4 => UNS * INC # D6: 8,9 => UNS * INC # D6: 3,7 => UNS * INC # A7: 8,9 => UNS * INC # A9: 8,9 => UNS * INC # E4: 1,7 => UNS * INC # E4: 4,5,6,9 => UNS * INC # E6: 1,7 => UNS * INC # E6: 3,9 => UNS * INC # B7: 4,9 => UNS * INC # B7: 2,7,8 => UNS * INC # E8: 4,9 => UNS * INC # E8: 3,5 => UNS * INC # B7: 2,8 => UNS * INC # C7: 2,8 => UNS * INC # B9: 2,8 => UNS * INC # B9: 7,9 => UNS * CNT 22 HDP CHAINS / 22 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # C5: 4,9 => UNS * INC # C5: 8 => UNS * INC # E4: 4,9 => UNS * INC # F4: 4,9 => UNS * INC # C5: 8,9 => UNS * INC # C5: 4 => UNS * INC # D6: 8,9 => UNS * INC # D6: 3,7 => UNS * INC # A7: 8,9 => UNS * INC # A9: 8,9 => UNS * INC # E4: 1,7 => UNS * INC # E4: 4,5,6,9 => UNS * INC # E6: 1,7 => UNS * INC # E6: 3,9 => UNS * INC # B7: 4,9 => UNS * INC # B7: 2,7,8 => UNS * INC # E8: 4,9 => UNS * INC # E8: 3,5 => UNS * INC # B7: 2,8 => UNS * INC # C7: 2,8 => UNS * INC # B9: 2,8 => UNS * INC # B9: 7,9 => UNS * CNT 22 HDP CHAINS / 22 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # C5: 4,9 => UNS * INC # C5: 8 => UNS * INC # E4: 4,9 => UNS * INC # F4: 4,9 => UNS * INC # C5: 8,9 => UNS * INC # C5: 4 => UNS * INC # D6: 8,9 => UNS * INC # D6: 3,7 => UNS * INC # A7: 8,9 => UNS * INC # A9: 8,9 => UNS * INC # E4: 1,7 => UNS * INC # E4: 4,5,6,9 => UNS * INC # E6: 1,7 => UNS * INC # E6: 3,9 => UNS * INC # B7: 4,9 => UNS * INC # B7: 2,7,8 => UNS * INC # E8: 4,9 => UNS * INC # E8: 3,5 => UNS * INC # B7: 2,8 => UNS * INC # C7: 2,8 => UNS * INC # B9: 2,8 => UNS * INC # B9: 7,9 => UNS * INC # C5: 4,9 # B7: 2,8 => UNS * INC # C5: 4,9 # C7: 2,8 => UNS * INC # C5: 4,9 # E4: 1,4 => UNS * INC # C5: 4,9 # E4: 5,6 => UNS * INC # C5: 4,9 # F4: 1,4 => UNS * INC # C5: 4,9 # F4: 5 => UNS * INC # C5: 4,9 # B7: 2,8 => UNS * INC # C5: 4,9 # C7: 2,8 => UNS * INC # C5: 4,9 => UNS * INC # C5: 8 # C1: 3,9 => UNS * DIS # C5: 8 # C2: 3,9 => CTR => C2: 7 * INC # C5: 8 + C2: 7 # C1: 3,9 => UNS * DIS # C5: 8 + C2: 7 # C1: 2 => CTR => C1: 3,9 * INC # C5: 8 + C2: 7 + C1: 3,9 # D3: 3,9 => UNS * DIS # C5: 8 + C2: 7 + C1: 3,9 # G3: 3,9 => CTR => G3: 5 * PRF # C5: 8 + C2: 7 + C1: 3,9 + G3: 5 # D4: 5,9 => SOL * STA # C5: 8 + C2: 7 + C1: 3,9 + G3: 5 + D4: 5,9 * CNT 38 HDP CHAINS / 39 HYP OPENED