Analysis of xx-mith-te3-00023426-base.sdk
Contents
Original Sudoku
level: hard
position: ....56......1..2.3.98237...2.9...83..31....4.84.3..1...8....9.4.14..832.9...4.... initial
Autosolve
position: ....56......1..2.3.98237...2.9...83..31....4.84.3..1...8....9.4.14..832.9...4.... autosolve
Pair Reduction Variants
Pair Reduction Analysis
The following important HDP chains were detected:
* DIS # C1: 2,7 => CTR => C1: 3 * DIS # F9: 1,2 => CTR => F9: 3 * CNT 2 HDP CHAINS / 17 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction
The following important HDP chains were detected:
* DIS # C1: 2,7 => CTR => C1: 3 * STA C1: 3 * CNT 1 HDP CHAINS / 25 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction Position
position: .23.56......1..2.3.98237...2.9...83..31....4.84.3..1..38....9.4.14..832.9.2.43... pair_reduction
See section Pair Reduction for the HDP chains leading to this result.
Deep Pair Reduction
Time used: 0:00:07.672559
The following important HDP chains were detected:
* DIS # D1: 4 # C2: 5,6 => CTR => C2: 7 * DIS # D1: 4 + C2: 7 # A5: 5,6 => CTR => A5: 7 * PRF # D1: 4 + C2: 7 + A5: 7 # H3: 5,6 => SOL * STA # D1: 4 + C2: 7 + A5: 7 + H3: 5,6 * CNT 3 HDP CHAINS / 30 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| ....56......1..2.3.98237...2.9...83..31....4.84.3..1...8....9.4.14..832.9...4.... | initial |
| ....56......1..2.3.98237...2.9...83..31....4.84.3..1...8....9.4.14..832.9...4.... | autosolve |
| .23.56......1..2.3.98237...2.9...83..31....4.84.3..1..38....9.4.14..832.9.2.43... | pair_reduction |
| 123456789457189263698237451269714835731895642845362197386521974514978326972643518 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (5) B1: 2,7 E2: 8,9 F2: 4,9 G1: 4,7 E7: 1,2 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) A1,A3: 1.. / A1 = 1 => 7 pairs (_) / A3 = 1 => 15 pairs (_) E4,F4: 1.. / E4 = 1 => 7 pairs (_) / F4 = 1 => 11 pairs (_) E4,E7: 1.. / E4 = 1 => 7 pairs (_) / E7 = 1 => 11 pairs (_) B1,C1: 2.. / B1 = 2 => 9 pairs (_) / C1 = 2 => 0 pairs (X) I5,I6: 2.. / I5 = 2 => 7 pairs (_) / I6 = 2 => 6 pairs (_) B1,B9: 2.. / B1 = 2 => 9 pairs (_) / B9 = 2 => 0 pairs (X) A1,C1: 3.. / A1 = 3 => 0 pairs (X) / C1 = 3 => 7 pairs (_) F7,F9: 3.. / F7 = 3 => 0 pairs (X) / F9 = 3 => 8 pairs (_) C9,F9: 3.. / C9 = 3 => 0 pairs (X) / F9 = 3 => 8 pairs (_) A1,A7: 3.. / A1 = 3 => 0 pairs (X) / A7 = 3 => 7 pairs (_) D1,F2: 4.. / D1 = 4 => 12 pairs (_) / F2 = 4 => 11 pairs (_) G1,G3: 4.. / G1 = 4 => 9 pairs (_) / G3 = 4 => 9 pairs (_) D4,F4: 4.. / D4 = 4 => 11 pairs (_) / F4 = 4 => 12 pairs (_) A2,F2: 4.. / A2 = 4 => 12 pairs (_) / F2 = 4 => 11 pairs (_) A3,G3: 4.. / A3 = 4 => 9 pairs (_) / G3 = 4 => 9 pairs (_) D1,D4: 4.. / D1 = 4 => 12 pairs (_) / D4 = 4 => 11 pairs (_) F2,F4: 4.. / F2 = 4 => 11 pairs (_) / F4 = 4 => 12 pairs (_) D1,E2: 8.. / D1 = 8 => 12 pairs (_) / E2 = 8 => 5 pairs (_) D5,E5: 8.. / D5 = 8 => 5 pairs (_) / E5 = 8 => 12 pairs (_) H9,I9: 8.. / H9 = 8 => 7 pairs (_) / I9 = 8 => 6 pairs (_) E2,H2: 8.. / E2 = 8 => 5 pairs (_) / H2 = 8 => 12 pairs (_) D1,D5: 8.. / D1 = 8 => 12 pairs (_) / D5 = 8 => 5 pairs (_) E2,E5: 8.. / E2 = 8 => 5 pairs (_) / E5 = 8 => 12 pairs (_) I1,I9: 8.. / I1 = 8 => 7 pairs (_) / I9 = 8 => 6 pairs (_) D8,E8: 9.. / D8 = 9 => 7 pairs (_) / E8 = 9 => 10 pairs (_) * DURATION: 0:00:06.826958 START: 06:31:56.965504 END: 06:32:03.792462 2025-04-06 * CP COUNT: (25) * CLUE FOUND * DEEP PAIR REDUCTION * DURATION: 0:00:07.533450 START: 06:32:11.540480 END: 06:32:19.073930 2025-04-06 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00023426-base-pr-002.dot * REASONING * DIS # D1: 4 # C2: 5,6 => CTR => C2: 7 * DIS # D1: 4 + C2: 7 # A5: 5,6 => CTR => A5: 7 * PRF # D1: 4 + C2: 7 + A5: 7 # H3: 5,6 => SOL * STA # D1: 4 + C2: 7 + A5: 7 + H3: 5,6 * CNT 3 HDP CHAINS / 30 HYP OPENED
Header Info
rating: 4773; r2: 167181; index: 23426
Solution
position: 123456789457189263698237451269714835731895642845362197386521974514978326972643518 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 # C1: 2,7 => CTR => C1: 3 * INC # C1: 3 => UNS * INC # B9: 2,7 => UNS * INC # B9: 5,6 => UNS * INC # D1: 8,9 => UNS * INC # D1: 4 => UNS * INC # H2: 8,9 => UNS * INC # H2: 5,6,7 => UNS * INC # E5: 8,9 => UNS * INC # E5: 2,6,7 => UNS * INC # D1: 4,9 => UNS * INC # D1: 8 => UNS * INC # A1: 4,7 => UNS * INC # A1: 1,3 => UNS * INC # F7: 1,2 => UNS * DIS # F9: 1,2 => CTR => F9: 3 * INC # F9: 3 => UNS * CNT 17 HDP CHAINS / 17 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* DIS # C1: 2,7 => CTR => C1: 3 * INC C1: 3 # D1: 8,9 => UNS * INC C1: 3 # D1: 4 => UNS * INC C1: 3 # H2: 8,9 => UNS * INC C1: 3 # H2: 5,6,7 => UNS * INC C1: 3 # E5: 8,9 => UNS * INC C1: 3 # E5: 2,6,7 => UNS * INC C1: 3 # D1: 4,9 => UNS * INC C1: 3 # D1: 8 => UNS * INC C1: 3 # A1: 4,7 => UNS * INC C1: 3 # A1: 1 => UNS * INC C1: 3 # D1: 8,9 => UNS * INC C1: 3 # D1: 4 => UNS * INC C1: 3 # H2: 8,9 => UNS * INC C1: 3 # H2: 5,6,7 => UNS * INC C1: 3 # E5: 8,9 => UNS * INC C1: 3 # E5: 2,6,7 => UNS * INC C1: 3 # D1: 4,9 => UNS * INC C1: 3 # D1: 8 => UNS * INC C1: 3 # A1: 4,7 => UNS * INC C1: 3 # A1: 1 => UNS * INC C1: 3 # H1: 1,8 => UNS * INC C1: 3 # H1: 7,9 => UNS * INC C1: 3 # I1: 1,8 => UNS * INC C1: 3 # I1: 7,9 => UNS * STA C1: 3 * CNT 25 HDP CHAINS / 25 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # D1: 8,9 => UNS * INC # D1: 4 => UNS * INC # H2: 8,9 => UNS * INC # H2: 5,6,7 => UNS * INC # E5: 8,9 => UNS * INC # E5: 2,6,7 => UNS * INC # D1: 4,9 => UNS * INC # D1: 8 => UNS * INC # A1: 4,7 => UNS * INC # A1: 1 => UNS * INC # H1: 1,8 => UNS * INC # H1: 7,9 => UNS * INC # I1: 1,8 => UNS * INC # I1: 7,9 => UNS * INC # D1: 8,9 # H1: 8,9 => UNS * INC # D1: 8,9 # I1: 8,9 => UNS * INC # D1: 8,9 # H1: 8,9 => UNS * INC # D1: 8,9 # I1: 8,9 => UNS * INC # D1: 8,9 # H1: 1,8 => UNS * INC # D1: 8,9 # H1: 7,9 => UNS * INC # D1: 8,9 # I1: 1,8 => UNS * INC # D1: 8,9 # I1: 7,9 => UNS * INC # D1: 8,9 => UNS * INC # D1: 4 # B2: 5,6 => UNS * DIS # D1: 4 # C2: 5,6 => CTR => C2: 7 * INC # D1: 4 + C2: 7 # H3: 5,6 => UNS * INC # D1: 4 + C2: 7 # I3: 5,6 => UNS * DIS # D1: 4 + C2: 7 # A5: 5,6 => CTR => A5: 7 * PRF # D1: 4 + C2: 7 + A5: 7 # H3: 5,6 => SOL * STA # D1: 4 + C2: 7 + A5: 7 + H3: 5,6 * CNT 29 HDP CHAINS / 30 HYP OPENED