Analysis of xx-mith-te3-00072503-base.sdk
Contents
Original Sudoku
level: medium
position: .2..56....5718...6..62.7..5.....8.6..85...39..71...4.............8.21.7.7.2...61. initial
Autosolve
position: .2..56....5718...6..62.7..5.....8.6..85...39..71...4.............8.21.7.7.2...61. autosolve
Pair Reduction Variants
Pair Reduction Analysis
The following important HDP chains were detected:
* PRF # H6: 2,8 => SOL * DIS # G7: 5,9 => CTR => G7: 2,8 * CNT 2 HDP CHAINS / 12 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction
The following important HDP chains were detected:
* PRF # H6: 2,8 => SOL * STA H6: 2,8 * CNT 1 HDP CHAINS / 5 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| .2..56....5718...6..62.7..5.....8.6..85...39..71...4.............8.21.7.7.2...61. | initial |
| .2..56....5718...6..62.7..5.....8.6..85...39..71...4.............8.21.7.7.2...61. | autosolve |
| 123456789457189236896237145234918567685742391971563428319674852568321974742895613 | solved |
Classification
level: medium
Pairing Analysis
-------------------------------------------------- * PAIRS (4) G2: 2,9 F5: 2,4 I6: 2,8 G8: 5,9 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) E4,E5: 1.. / E4 = 1 => 5 pairs (_) / E5 = 1 => 5 pairs (_) A7,B7: 1.. / A7 = 1 => 0 pairs (X) / B7 = 1 => 8 pairs (_) E5,I5: 1.. / E5 = 1 => 5 pairs (_) / I5 = 1 => 5 pairs (_) B3,B7: 1.. / B3 = 1 => 0 pairs (X) / B7 = 1 => 8 pairs (_) G2,H2: 2.. / G2 = 2 => 6 pairs (_) / H2 = 2 => 10 pairs (_) F5,F6: 2.. / F5 = 2 => 5 pairs (_) / F6 = 2 => 6 pairs (_) G4,H6: 5.. / G4 = 5 => 0 pairs (*) / H6 = 5 => 0 pairs (X) A7,A8: 5.. / A7 = 5 => 6 pairs (_) / A8 = 5 => 0 pairs (*) D9,F9: 5.. / D9 = 5 => 0 pairs (X) / F9 = 5 => 4 pairs (_) D4,G4: 5.. / D4 = 5 => 3 pairs (_) / G4 = 5 => 0 pairs (*) A8,G8: 5.. / A8 = 5 => 0 pairs (*) / G8 = 5 => 0 pairs (X) F6,F9: 5.. / F6 = 5 => 0 pairs (X) / F9 = 5 => 4 pairs (_) H6,H7: 5.. / H6 = 5 => 3 pairs (_) / H7 = 5 => 0 pairs (*) A5,A6: 6.. / A5 = 6 => 5 pairs (_) / A6 = 6 => 10 pairs (_) B7,B8: 6.. / B7 = 6 => 0 pairs (X) / B8 = 6 => 6 pairs (_) B8,D8: 6.. / B8 = 6 => 6 pairs (_) / D8 = 6 => 0 pairs (X) G1,I1: 7.. / G1 = 7 => 4 pairs (_) / I1 = 7 => 10 pairs (_) D7,E7: 7.. / D7 = 7 => 8 pairs (_) / E7 = 7 => 5 pairs (_) G1,G4: 7.. / G1 = 7 => 4 pairs (_) / G4 = 7 => 10 pairs (_) A1,A3: 8.. / A1 = 8 => 11 pairs (_) / A3 = 8 => 6 pairs (_) H6,I6: 8.. / H6 = 8 => 0 pairs (X) / I6 = 8 => 4 pairs (_) D7,D9: 8.. / D7 = 8 => 0 pairs (X) / D9 = 8 => 4 pairs (_) D9,I9: 8.. / D9 = 8 => 4 pairs (_) / I9 = 8 => 0 pairs (X) * DURATION: 0:00:05.755235 START: 10:05:45.203793 END: 10:05:50.959028 2025-04-06 * CP COUNT: (23) * SOLUTION FOUND -------------------------------------------------- * PREPARE PR GRAPH * PAIR REDUCTION .. * LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (F5,G2,G8,I6) * .2..56....5718...6..62.7..5.....8.6..85...39..71...4.............8.21.7.7.2...61. * PAIR G2: 2,9 COL G G7: 2,9,5,8 # reduction candidate for 2,9 G7: 2,9 # 12 pairs G7: 5,8 # 5 pairs * PAIR F5: 2,4 ROW 5 A5: 2,4,6 # reduction candidate for 2,4 A5: 2,4 # 10 pairs A5: 6 # 5 pairs * PAIR I6: 2,8 BLK 6 H6: 2,8,5 # reduction candidate for 2,8 H6: 2,8 => SOLVED * 123456789457189236896237145234918567685742391971563428319674852568321974742895613 H6: 5 # 3 pairs * PAIR I6: 2,8 COL I I7: 2,8,3,4,9 # reduction candidate for 2,8 I7: 2,8 # 10 pairs I7: 3,4,9 # 8 pairs * PAIR G8: 5,9 BLK 9 G7: 5,9,2,8 # reduction candidate for 5,9 G7: 5,9 => CTR * .2..56....5718...6..62.7..5.....8.6..85...39..71...4.............8.21.7.7.2...61. G7: 2,8 # 5 pairs * PAIR G8: 5,9 ROW 8 A8: 5,9,3,4 # reduction candidate for 5,9 A8: 3,4 # 7 pairs A8: 5,9 # 6 pairs * INCONCLUSIVE * SAVE PR GRAPH xx-mith-te3-00072503-base-pr-000.dot * REASONING * PRF # H6: 2,8 => SOL * DIS # G7: 5,9 => CTR => G7: 2,8 * CNT 2 HDP CHAINS / 12 HYP OPENED -------------------------------------------------- * PREPARE PR GRAPH * PAIR REDUCTION .. * LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (F5,G2,G8,I6) * .2..56....5718...6..62.7..5.....8.6..85...39..71...4.............8.21.7.7.2...61. * PAIR G2: 2,9 COL G G7: 2,9,5,8 # reduction candidate for 2,9 G7: 2,9 # 12 pairs G7: 5,8 # 5 pairs * PAIR F5: 2,4 ROW 5 A5: 2,4,6 # reduction candidate for 2,4 A5: 2,4 # 10 pairs A5: 6 # 5 pairs * PAIR I6: 2,8 BLK 6 H6: 2,8,5 # reduction candidate for 2,8 H6: 2,8 => SOLVED * 123456789457189236896237145234918567685742391971563428319674852568321974742895613 * DURATION: 0:00:00.998463 START: 10:05:52.827519 END: 10:05:53.825982 2025-04-06 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00072503-base-pr-001.dot * REASONING * PRF # H6: 2,8 => SOL * STA H6: 2,8 * CNT 1 HDP CHAINS / 5 HYP OPENED
Header Info
rating: 16327; r2: 438047; index: 72503
Solution
position: 123456789457189236896237145234918567685742391971563428319674852568321974742895613 solved
See section 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 # G7: 2,9 => UNS * INC # G7: 5,8 => UNS * INC # A5: 2,4 => UNS * INC # A5: 6 => UNS * PRF # H6: 2,8 => SOL * INC # H6: 5 => UNS * INC # I7: 2,8 => UNS * INC # I7: 3,4,9 => UNS * DIS # G7: 5,9 => CTR => G7: 2,8 * INC # G7: 2,8 => UNS * INC # A8: 5,9 => UNS * INC # A8: 3,4 => UNS * CNT 12 HDP CHAINS / 12 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # G7: 2,9 => UNS * INC # G7: 5,8 => UNS * INC # A5: 2,4 => UNS * INC # A5: 6 => UNS * PRF # H6: 2,8 => SOL * STA H6: 2,8 * CNT 5 HDP CHAINS / 5 HYP OPENED