Analysis of xx-mith-te3-00043860-base.sdk
Contents
Original Sudoku
level: hard
position: ..34.6..........2.7.8132............53...8.978.7..5..23...9.2.5..5.2.93.9......78 initial
Autosolve
position: ..34.6........9.237.8132.....9......53...8.978.79.53.23...9.2.5..5.2.93.9......78 autosolve
Pair Reduction Variants
Pair Reduction Analysis
The following important HDP chains were detected:
* DIS # D4: 2,6 => CTR => D4: 3,7 * CNT 1 HDP CHAINS / 22 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction
The following important HDP chains were detected:
* DIS # D4: 2,6 => CTR => D4: 3,7 * STA D4: 3,7 * CNT 1 HDP CHAINS / 39 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction Position
position: ..34.6........9.237.8132.....9......53.2.8.978.79.53.23...9.2.5..5.2.93.9.2....78 pair_reduction
See section Pair Reduction for the HDP chains leading to this result.
Deep Pair Reduction
Time used: 0:00:06.808864
The following important HDP chains were detected:
* DIS # B1: 1,2 # A4: 4,6 => CTR => A4: 1,2 * DIS # B1: 1,2 + A4: 1,2 # B4: 1,2 => CTR => B4: 4,6 * DIS # B1: 1,2 + A4: 1,2 + B4: 4,6 # C5: 4,6 => CTR => C5: 1 * PRF # B1: 1,2 + A4: 1,2 + B4: 4,6 + C5: 1 => SOL * STA B1: 1,2 * CNT 4 HDP CHAINS / 25 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| ..34.6..........2.7.8132............53...8.978.7..5..23...9.2.5..5.2.93.9......78 | initial |
| ..34.6........9.237.8132.....9......53...8.978.79.53.23...9.2.5..5.2.93.9......78 | autosolve |
| ..34.6........9.237.8132.....9......53.2.8.978.79.53.23...9.2.5..5.2.93.9.2....78 | pair_reduction |
| 123456789456789123798132546269374851531268497847915362384697215675821934912543678 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (8) A1: 1,2 D2: 5,7 I1: 1,9 D5: 2,6 G4: 5,8 H4: 5,8 B7: 7,8 B8: 7,8 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) A1,B1: 2.. / A1 = 2 => 7 pairs (_) / B1 = 2 => 13 pairs (_) D4,D5: 2.. / D4 = 2 => 0 pairs (X) / D5 = 2 => 7 pairs (_) B9,C9: 2.. / B9 = 2 => 0 pairs (X) / C9 = 2 => 7 pairs (_) C5,D5: 2.. / C5 = 2 => 0 pairs (X) / D5 = 2 => 7 pairs (_) A1,A4: 2.. / A1 = 2 => 7 pairs (_) / A4 = 2 => 13 pairs (_) C5,C9: 2.. / C5 = 2 => 0 pairs (X) / C9 = 2 => 7 pairs (_) D4,F4: 3.. / D4 = 3 => 8 pairs (_) / F4 = 3 => 13 pairs (_) D9,F9: 3.. / D9 = 3 => 13 pairs (_) / F9 = 3 => 8 pairs (_) D4,D9: 3.. / D4 = 3 => 8 pairs (_) / D9 = 3 => 13 pairs (_) F4,F9: 3.. / F4 = 3 => 13 pairs (_) / F9 = 3 => 8 pairs (_) G4,H4: 5.. / G4 = 5 => 12 pairs (_) / H4 = 5 => 8 pairs (_) D9,E9: 5.. / D9 = 5 => 12 pairs (_) / E9 = 5 => 13 pairs (_) D2,D9: 5.. / D2 = 5 => 13 pairs (_) / D9 = 5 => 12 pairs (_) G1,G2: 7.. / G1 = 7 => 9 pairs (_) / G2 = 7 => 10 pairs (_) B7,B8: 7.. / B7 = 7 => 8 pairs (_) / B8 = 7 => 8 pairs (_) E1,G1: 7.. / E1 = 7 => 10 pairs (_) / G1 = 7 => 9 pairs (_) E1,E2: 8.. / E1 = 8 => 10 pairs (_) / E2 = 8 => 9 pairs (_) G4,H4: 8.. / G4 = 8 => 8 pairs (_) / H4 = 8 => 12 pairs (_) B7,B8: 8.. / B7 = 8 => 8 pairs (_) / B8 = 8 => 8 pairs (_) D7,D8: 8.. / D7 = 8 => 8 pairs (_) / D8 = 8 => 8 pairs (_) E2,G2: 8.. / E2 = 8 => 9 pairs (_) / G2 = 8 => 10 pairs (_) B7,D7: 8.. / B7 = 8 => 8 pairs (_) / D7 = 8 => 8 pairs (_) B8,D8: 8.. / B8 = 8 => 8 pairs (_) / D8 = 8 => 8 pairs (_) H1,H4: 8.. / H1 = 8 => 8 pairs (_) / H4 = 8 => 12 pairs (_) B1,B3: 9.. / B1 = 9 => 10 pairs (_) / B3 = 9 => 9 pairs (_) I1,I3: 9.. / I1 = 9 => 9 pairs (_) / I3 = 9 => 10 pairs (_) B1,I1: 9.. / B1 = 9 => 10 pairs (_) / I1 = 9 => 9 pairs (_) B3,I3: 9.. / B3 = 9 => 9 pairs (_) / I3 = 9 => 10 pairs (_) * DURATION: 0:00:08.924991 START: 08:03:01.033602 END: 08:03:09.958593 2025-04-06 * CP COUNT: (28) * CLUE FOUND * DEEP PAIR REDUCTION * DURATION: 0:00:06.665157 START: 08:03:21.480720 END: 08:03:28.145877 2025-04-06 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00043860-base-pr-002.dot * REASONING * DIS # B1: 1,2 # A4: 4,6 => CTR => A4: 1,2 * DIS # B1: 1,2 + A4: 1,2 # B4: 1,2 => CTR => B4: 4,6 * DIS # B1: 1,2 + A4: 1,2 + B4: 4,6 # C5: 4,6 => CTR => C5: 1 * PRF # B1: 1,2 + A4: 1,2 + B4: 4,6 + C5: 1 => SOL * STA B1: 1,2 * CNT 4 HDP CHAINS / 25 HYP OPENED
Header Info
rating: 9081; r2: 345258; index: 43860
Solution
position: 123456789456789123798132546269374851531268497847915362384697215675821934912543678 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 # B1: 1,2 => UNS * INC # B1: 5,9 => UNS * INC # A4: 1,2 => UNS * INC # A4: 4,6 => UNS * INC # E1: 5,7 => UNS * INC # E2: 5,7 => UNS * INC # G2: 5,7 => UNS * INC # G2: 1,4,6,8 => UNS * INC # B1: 1,9 => UNS * INC # B1: 2,5 => UNS * DIS # D4: 2,6 => CTR => D4: 3,7 * INC # D4: 3,7 => UNS * INC # C5: 2,6 => UNS * INC # C5: 1,4 => UNS * INC # G1: 5,8 => UNS * INC # G2: 5,8 => UNS * INC # H1: 5,8 => UNS * INC # H1: 1 => UNS * INC # D7: 7,8 => UNS * INC # D7: 6 => UNS * INC # D8: 7,8 => UNS * INC # D8: 6 => UNS * CNT 22 HDP CHAINS / 22 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # B1: 1,2 => UNS * INC # B1: 5,9 => UNS * INC # A4: 1,2 => UNS * INC # A4: 4,6 => UNS * INC # E1: 5,7 => UNS * INC # E2: 5,7 => UNS * INC # G2: 5,7 => UNS * INC # G2: 1,4,6,8 => UNS * INC # B1: 1,9 => UNS * INC # B1: 2,5 => UNS * DIS # D4: 2,6 => CTR => D4: 3,7 * INC D4: 3,7 # G1: 5,8 => UNS * INC D4: 3,7 # G2: 5,8 => UNS * INC D4: 3,7 # H1: 5,8 => UNS * INC D4: 3,7 # H1: 1 => UNS * INC D4: 3,7 # D7: 7,8 => UNS * INC D4: 3,7 # D7: 6 => UNS * INC D4: 3,7 # D8: 7,8 => UNS * INC D4: 3,7 # D8: 6 => UNS * INC D4: 3,7 # B1: 1,2 => UNS * INC D4: 3,7 # B1: 5,9 => UNS * INC D4: 3,7 # A4: 1,2 => UNS * INC D4: 3,7 # A4: 4,6 => UNS * INC D4: 3,7 # E1: 5,7 => UNS * INC D4: 3,7 # E2: 5,7 => UNS * INC D4: 3,7 # G2: 5,7 => UNS * INC D4: 3,7 # G2: 1,4,6,8 => UNS * INC D4: 3,7 # B1: 1,9 => UNS * INC D4: 3,7 # B1: 2,5 => UNS * INC D4: 3,7 # F4: 3,7 => UNS * INC D4: 3,7 # F4: 1,4 => UNS * INC D4: 3,7 # G1: 5,8 => UNS * INC D4: 3,7 # G2: 5,8 => UNS * INC D4: 3,7 # H1: 5,8 => UNS * INC D4: 3,7 # H1: 1 => UNS * INC D4: 3,7 # D7: 7,8 => UNS * INC D4: 3,7 # D7: 6 => UNS * INC D4: 3,7 # D8: 7,8 => UNS * INC D4: 3,7 # D8: 6 => UNS * STA D4: 3,7 * CNT 39 HDP CHAINS / 39 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # B1: 1,2 => UNS * INC # B1: 5,9 => UNS * INC # A4: 1,2 => UNS * INC # A4: 4,6 => UNS * INC # E1: 5,7 => UNS * INC # E2: 5,7 => UNS * INC # G2: 5,7 => UNS * INC # G2: 1,4,6,8 => UNS * INC # B1: 1,9 => UNS * INC # B1: 2,5 => UNS * INC # F4: 3,7 => UNS * INC # F4: 1,4 => UNS * INC # G1: 5,8 => UNS * INC # G2: 5,8 => UNS * INC # H1: 5,8 => UNS * INC # H1: 1 => UNS * INC # D7: 7,8 => UNS * INC # D7: 6 => UNS * INC # D8: 7,8 => UNS * INC # D8: 6 => UNS * INC # B1: 1,2 # A4: 1,2 => UNS * DIS # B1: 1,2 # A4: 4,6 => CTR => A4: 1,2 * DIS # B1: 1,2 + A4: 1,2 # B4: 1,2 => CTR => B4: 4,6 * DIS # B1: 1,2 + A4: 1,2 + B4: 4,6 # C5: 4,6 => CTR => C5: 1 * PRF # B1: 1,2 + A4: 1,2 + B4: 4,6 + C5: 1 => SOL * STA B1: 1,2 * CNT 25 HDP CHAINS / 25 HYP OPENED