Analysis of xx-mith-te3-00002537-base.sdk
Contents
Original Sudoku
level: hard
position: ...456.89.......3.6.....1.42..86......6.25..88.59.4..25...4892....59....9.46.28.. initial
Autosolve
position: ...456.89.......3.6.....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: ...456.894......3.6.....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: 0:00:05.082207
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
| ...456.89.......3.6.....1.42..86......6.25..88.59.4..25...4892....59....9.46.28.. | initial |
| ...456.89.......3.6.....1.42..86......6.25..88.59.4..256..4892....59....9.46.28.. | autosolve |
| ...456.894......3.6.....1.42..86......6.25..88.59.4..256..4892....59....9.46.28.. | pair_reduction |
| 123456789457189236698237154249863571316725498875914362561348927782591643934672815 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (5) A2: 4,7 G1: 2,7 H3: 5,7 B8: 2,8 C8: 2,8 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) D2,D3: 2.. / D2 = 2 => 8 pairs (_) / D3 = 2 => 6 pairs (_) G1,G2: 2.. / G1 = 2 => 5 pairs (_) / G2 = 2 => 10 pairs (_) B8,C8: 2.. / B8 = 2 => 6 pairs (_) / C8 = 2 => 3 pairs (_) A2,B2: 4.. / A2 = 4 => 4 pairs (_) / B2 = 4 => 0 pairs (X) G8,H8: 4.. / G8 = 4 => 8 pairs (_) / H8 = 4 => 6 pairs (_) A2,A5: 4.. / A2 = 4 => 4 pairs (_) / A5 = 4 => 0 pairs (X) B2,B3: 5.. / B2 = 5 => 5 pairs (_) / B3 = 5 => 12 pairs (_) H9,I9: 5.. / H9 = 5 => 11 pairs (_) / I9 = 5 => 7 pairs (_) B3,H3: 5.. / B3 = 5 => 12 pairs (_) / H3 = 5 => 5 pairs (_) G2,G4: 5.. / G2 = 5 => 13 pairs (_) / G4 = 5 => 5 pairs (_) G2,I2: 6.. / G2 = 6 => 8 pairs (_) / I2 = 6 => 7 pairs (_) G6,H6: 6.. / G6 = 6 => 9 pairs (_) / H6 = 6 => 6 pairs (_) H6,H8: 6.. / H6 = 6 => 6 pairs (_) / H8 = 6 => 9 pairs (_) I2,I8: 6.. / I2 = 6 => 7 pairs (_) / I8 = 6 => 8 pairs (_) E2,E3: 8.. / E2 = 8 => 6 pairs (_) / E3 = 8 => 6 pairs (_) B8,C8: 8.. / B8 = 8 => 3 pairs (_) / C8 = 8 => 6 pairs (_) F2,F3: 9.. / F2 = 9 => 6 pairs (_) / F3 = 9 => 6 pairs (_) H4,H5: 9.. / H4 = 9 => 5 pairs (_) / H5 = 9 => 5 pairs (_) B5,H5: 9.. / B5 = 9 => 5 pairs (_) / H5 = 9 => 5 pairs (_) * DURATION: 0:00:05.294989 START: 04:39:13.724692 END: 04:39:19.019681 2025-04-04 * CP COUNT: (19) * CLUE FOUND * DEEP PAIR REDUCTION * DURATION: 0:00:04.951245 START: 04:39:27.406027 END: 04:39:32.357272 2025-04-04 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00002537-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: 10078; index: 2537
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: 5,6 => UNS * INC # B1: 2,7 => UNS * INC # C1: 2,7 => UNS * INC # G2: 5,7 => UNS * INC # I2: 5,7 => UNS * INC # B3: 5,7 => UNS * INC # B3: 2,8,9 => UNS * INC # H4: 5,7 => UNS * INC # H9: 5,7 => 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: 5,6 => 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 # G2: 5,7 => UNS * INC B2: 2,5,8,9 # I2: 5,7 => UNS * INC B2: 2,5,8,9 # B3: 5,7 => UNS * INC B2: 2,5,8,9 # B3: 2,8,9 => UNS * INC B2: 2,5,8,9 # H4: 5,7 => UNS * INC B2: 2,5,8,9 # H9: 5,7 => 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: 5,6 => 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 # G2: 5,7 => UNS * INC B2: 2,5,8,9 # I2: 5,7 => UNS * INC B2: 2,5,8,9 # B3: 5,7 => UNS * INC B2: 2,5,8,9 # B3: 2,8,9 => UNS * INC B2: 2,5,8,9 # H4: 5,7 => UNS * INC B2: 2,5,8,9 # H9: 5,7 => 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: 5,6 => UNS * INC # B1: 2,7 => UNS * INC # C1: 2,7 => UNS * INC # G2: 5,7 => UNS * INC # I2: 5,7 => UNS * INC # B3: 5,7 => UNS * INC # B3: 2,8,9 => UNS * INC # H4: 5,7 => UNS * INC # H9: 5,7 => 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