Analysis of xx-mith-te3-00002536-base.sdk
Contents
Original Sudoku
level: hard
position: ...456.8........366.....1.42..86......6.25..88.59.4..256..489.....59....9.46.2... initial
Autosolve
position: ...456.8........366.....1.42..86......6.25..88.59.4..256..4892....59....9.46.28.. autosolve
Pair Reduction Variants
Pair Reduction Analysis
The following important HDP chains were detected:
* DIS # B2: 4,7 => CTR => B2: 2,5,8,9 * CNT 1 HDP CHAINS / 18 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction
The following important HDP chains were detected:
* DIS # B2: 4,7 => CTR => B2: 2,5,8,9 * STA B2: 2,5,8,9 * CNT 1 HDP CHAINS / 29 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction Position
position: ...456.8.4......366.....1.42..86......6.25..88.59.4..256..4892....59....9.46.28.. pair_reduction
See section Pair Reduction for the HDP chains leading to this result.
Deep Pair Reduction
Time used: 0:00:05.354701
The following important HDP chains were detected:
* PRF # G2: 2,7 # H4: 1,7 => SOL * STA # G2: 2,7 + H4: 1,7 * CNT 1 HDP CHAINS / 20 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| ...456.8........366.....1.42..86......6.25..88.59.4..256..489.....59....9.46.2... | initial |
| ...456.8........366.....1.42..86......6.25..88.59.4..256..4892....59....9.46.28.. | autosolve |
| ...456.8.4......366.....1.42..86......6.25..88.59.4..256..4892....59....9.46.28.. | pair_reduction |
| 123456789457189236698237154249863571316725498875914362561348927782591643934672815 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (7) A2: 4,7 G1: 2,7 I1: 7,9 B8: 2,8 C8: 2,8 G8: 4,6 H8: 4,6 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) D2,D3: 2.. / D2 = 2 => 8 pairs (_) / D3 = 2 => 8 pairs (_) G1,G2: 2.. / G1 = 2 => 6 pairs (_) / G2 = 2 => 10 pairs (_) B8,C8: 2.. / B8 = 2 => 6 pairs (_) / C8 = 2 => 5 pairs (_) A2,B2: 4.. / A2 = 4 => 6 pairs (_) / B2 = 4 => 0 pairs (X) G8,H8: 4.. / G8 = 4 => 7 pairs (_) / H8 = 4 => 6 pairs (_) A2,A5: 4.. / A2 = 4 => 6 pairs (_) / A5 = 4 => 0 pairs (X) B2,B3: 5.. / B2 = 5 => 10 pairs (_) / B3 = 5 => 8 pairs (_) G2,H3: 5.. / G2 = 5 => 8 pairs (_) / H3 = 5 => 10 pairs (_) H9,I9: 5.. / H9 = 5 => 11 pairs (_) / I9 = 5 => 8 pairs (_) B2,G2: 5.. / B2 = 5 => 10 pairs (_) / G2 = 5 => 8 pairs (_) B3,H3: 5.. / B3 = 5 => 8 pairs (_) / H3 = 5 => 10 pairs (_) G2,G4: 5.. / G2 = 5 => 8 pairs (_) / G4 = 5 => 10 pairs (_) I4,I9: 5.. / I4 = 5 => 11 pairs (_) / I9 = 5 => 8 pairs (_) G6,H6: 6.. / G6 = 6 => 7 pairs (_) / H6 = 6 => 6 pairs (_) G8,H8: 6.. / G8 = 6 => 6 pairs (_) / H8 = 6 => 7 pairs (_) G6,G8: 6.. / G6 = 6 => 7 pairs (_) / G8 = 6 => 6 pairs (_) H6,H8: 6.. / H6 = 6 => 6 pairs (_) / H8 = 6 => 7 pairs (_) E2,E3: 8.. / E2 = 8 => 8 pairs (_) / E3 = 8 => 8 pairs (_) B8,C8: 8.. / B8 = 8 => 5 pairs (_) / C8 = 8 => 6 pairs (_) F2,F3: 9.. / F2 = 9 => 8 pairs (_) / F3 = 9 => 8 pairs (_) I1,H3: 9.. / I1 = 9 => 7 pairs (_) / H3 = 9 => 0 pairs (X) B5,H5: 9.. / B5 = 9 => 7 pairs (_) / H5 = 9 => 7 pairs (_) I1,I4: 9.. / I1 = 9 => 7 pairs (_) / I4 = 9 => 0 pairs (X) * DURATION: 0:00:07.349271 START: 02:35:12.733461 END: 02:35:20.082732 2025-04-06 * CP COUNT: (23) * CLUE FOUND * DEEP PAIR REDUCTION * DURATION: 0:00:05.235669 START: 02:35:29.302511 END: 02:35:34.538180 2025-04-06 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00002536-base-pr-002.dot * REASONING * PRF # G2: 2,7 # H4: 1,7 => SOL * STA # G2: 2,7 + H4: 1,7 * CNT 1 HDP CHAINS / 20 HYP OPENED
Header Info
rating: 446; r2: 15846; index: 2536
Solution
position: 123456789457189236698237154249863571316725498875914362561348927782591643934672815 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 # B2: 4,7 => CTR => B2: 2,5,8,9 * INC # B2: 2,5,8,9 => UNS * INC # A5: 4,7 => UNS * INC # A5: 1,3 => UNS * INC # G2: 2,7 => UNS * INC # G2: 5 => UNS * INC # B1: 2,7 => UNS * INC # C1: 2,7 => UNS * INC # H3: 7,9 => UNS * INC # H3: 5 => UNS * INC # B1: 7,9 => UNS * INC # C1: 7,9 => UNS * INC # I4: 7,9 => UNS * INC # I4: 1,5 => UNS * INC # B2: 2,8 => UNS * INC # B3: 2,8 => UNS * INC # C2: 2,8 => UNS * INC # C3: 2,8 => UNS * CNT 18 HDP CHAINS / 18 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* DIS # B2: 4,7 => CTR => B2: 2,5,8,9 * INC B2: 2,5,8,9 # G2: 2,7 => UNS * INC B2: 2,5,8,9 # G2: 5 => UNS * INC B2: 2,5,8,9 # B1: 2,7 => UNS * INC B2: 2,5,8,9 # C1: 2,7 => UNS * INC B2: 2,5,8,9 # H3: 7,9 => UNS * INC B2: 2,5,8,9 # H3: 5 => UNS * INC B2: 2,5,8,9 # B1: 7,9 => UNS * INC B2: 2,5,8,9 # C1: 7,9 => UNS * INC B2: 2,5,8,9 # I4: 7,9 => UNS * INC B2: 2,5,8,9 # I4: 1,5 => UNS * INC B2: 2,5,8,9 # B2: 2,8 => UNS * INC B2: 2,5,8,9 # B3: 2,8 => UNS * INC B2: 2,5,8,9 # C2: 2,8 => UNS * INC B2: 2,5,8,9 # C3: 2,8 => UNS * INC B2: 2,5,8,9 # G2: 2,7 => UNS * INC B2: 2,5,8,9 # G2: 5 => UNS * INC B2: 2,5,8,9 # B1: 2,7 => UNS * INC B2: 2,5,8,9 # C1: 2,7 => UNS * INC B2: 2,5,8,9 # H3: 7,9 => UNS * INC B2: 2,5,8,9 # H3: 5 => UNS * INC B2: 2,5,8,9 # B1: 7,9 => UNS * INC B2: 2,5,8,9 # C1: 7,9 => UNS * INC B2: 2,5,8,9 # I4: 7,9 => UNS * INC B2: 2,5,8,9 # I4: 1,5 => UNS * INC B2: 2,5,8,9 # B2: 2,8 => UNS * INC B2: 2,5,8,9 # B3: 2,8 => UNS * INC B2: 2,5,8,9 # C2: 2,8 => UNS * INC B2: 2,5,8,9 # C3: 2,8 => UNS * STA B2: 2,5,8,9 * CNT 29 HDP CHAINS / 29 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # G2: 2,7 => UNS * INC # G2: 5 => UNS * INC # B1: 2,7 => UNS * INC # C1: 2,7 => UNS * INC # H3: 7,9 => UNS * INC # H3: 5 => UNS * INC # B1: 7,9 => UNS * INC # C1: 7,9 => UNS * INC # I4: 7,9 => UNS * INC # I4: 1,5 => UNS * INC # B2: 2,8 => UNS * INC # B3: 2,8 => UNS * INC # C2: 2,8 => UNS * INC # C3: 2,8 => UNS * INC # G2: 2,7 # B1: 2,7 => UNS * INC # G2: 2,7 # C1: 2,7 => UNS * INC # G2: 2,7 # C2: 2,7 => UNS * INC # G2: 2,7 # D2: 2,7 => UNS * PRF # G2: 2,7 # H4: 1,7 => SOL * STA # G2: 2,7 + H4: 1,7 * CNT 19 HDP CHAINS / 20 HYP OPENED