Analysis of xx-mith-te3-00025953-base.sdk
Contents
Original Sudoku
level: medium
position: ....56....571.9.3..9.73.....165.7.....936.1...3..916......759...65....28......5.4 initial
Autosolve
position: ....56....571.9.3..9.73.....165.7.....936.1...3..916......759...65....28......5.4 autosolve
Pair Reduction Variants
Pair Reduction Analysis
The following important HDP chains were detected:
* PRF # H3: 1,6 => SOL * CNT 1 HDP CHAINS / 16 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction
The following important HDP chains were detected:
* PRF # H3: 1,6 => SOL * STA H3: 1,6 * CNT 1 HDP CHAINS / 13 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| ....56....571.9.3..9.73.....165.7.....936.1...3..916......759...65....28......5.4 | initial |
| ....56....571.9.3..9.73.....165.7.....936.1...3..916......759...65....28......5.4 | autosolve |
| 123456789457189236698732415216547893579368142834291657342875961765914328981623574 | solved |
Classification
level: medium
Pairing Analysis
-------------------------------------------------- * PAIRS (6) I2: 2,6 D8: 4,9 E8: 1,4 F8: 3,4 H7: 1,6 G8: 3,7 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) E8,E9: 1.. / E8 = 1 => 6 pairs (_) / E9 = 1 => 9 pairs (_) A8,E8: 1.. / A8 = 1 => 9 pairs (_) / E8 = 1 => 6 pairs (_) A1,C1: 3.. / A1 = 3 => 6 pairs (_) / C1 = 3 => 6 pairs (_) G4,I4: 3.. / G4 = 3 => 10 pairs (_) / I4 = 3 => 10 pairs (_) F8,F9: 3.. / F8 = 3 => 10 pairs (_) / F9 = 3 => 7 pairs (_) I7,G8: 3.. / I7 = 3 => 10 pairs (_) / G8 = 3 => 10 pairs (_) G4,G8: 3.. / G4 = 3 => 10 pairs (_) / G8 = 3 => 10 pairs (_) I4,I7: 3.. / I4 = 3 => 10 pairs (_) / I7 = 3 => 10 pairs (_) H3,I3: 5.. / H3 = 5 => 7 pairs (_) / I3 = 5 => 10 pairs (_) A5,A6: 5.. / A5 = 5 => 7 pairs (_) / A6 = 5 => 8 pairs (_) A2,A3: 6.. / A2 = 6 => 16 pairs (_) / A3 = 6 => 6 pairs (_) D7,D9: 6.. / D7 = 6 => 11 pairs (_) / D9 = 6 => 6 pairs (_) A2,I2: 6.. / A2 = 6 => 16 pairs (_) / I2 = 6 => 6 pairs (_) D9,H9: 6.. / D9 = 6 => 6 pairs (_) / H9 = 6 => 11 pairs (_) G8,H9: 7.. / G8 = 7 => 10 pairs (_) / H9 = 7 => 10 pairs (_) A8,G8: 7.. / A8 = 7 => 10 pairs (_) / G8 = 7 => 10 pairs (_) B5,B9: 7.. / B5 = 7 => 10 pairs (_) / B9 = 7 => 12 pairs (_) G1,G8: 7.. / G1 = 7 => 10 pairs (_) / G8 = 7 => 10 pairs (_) H1,I1: 9.. / H1 = 9 => 10 pairs (_) / I1 = 9 => 7 pairs (_) H4,I4: 9.. / H4 = 9 => 7 pairs (_) / I4 = 9 => 10 pairs (_) A8,A9: 9.. / A8 = 9 => 13 pairs (_) / A9 = 9 => 5 pairs (_) D8,D9: 9.. / D8 = 9 => 5 pairs (_) / D9 = 9 => 13 pairs (_) A8,D8: 9.. / A8 = 9 => 13 pairs (_) / D8 = 9 => 5 pairs (_) A9,D9: 9.. / A9 = 9 => 5 pairs (_) / D9 = 9 => 13 pairs (_) H1,H4: 9.. / H1 = 9 => 10 pairs (_) / H4 = 9 => 7 pairs (_) I1,I4: 9.. / I1 = 9 => 7 pairs (_) / I4 = 9 => 10 pairs (_) * DURATION: 0:00:06.728601 START: 06:34:50.343796 END: 06:34:57.072397 2025-04-06 * CP COUNT: (26) * INCONCLUSIVE -------------------------------------------------- * PREPARE PR GRAPH * PAIR REDUCTION .. * LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (D8,E8,F8,G8,H7,I2) * ....56....571.9.3..9.73.....165.7.....936.1...3..916......759...65....28......5.4 * PAIR I2: 2,6 BLK 3 I3: 2,6,1,5 # reduction candidate for 2,6 I3: 2,6 # 16 pairs I3: 1,5 # 7 pairs * PAIR I2: 2,6 ROW 2 A2: 2,6,4,8 # reduction candidate for 2,6 A2: 2,6 # 9 pairs A2: 4,8 # 7 pairs * PAIR D8: 4,9 ROW 8 A8: 4,9,1,3,7 # reduction candidate for 4,9 A8: 4,9 # 18 pairs A8: 1,3,7 # 5 pairs * PAIR E8: 1,4 ROW 8 A8: 1,4,3,7,9 # reduction candidate for 1,4 A8: 1,4 # 11 pairs A8: 3,7,9 # 6 pairs * PAIR F8: 3,4 ROW 8 A8: 3,4,1,7,9 # reduction candidate for 3,4 A8: 3,4 # 12 pairs A8: 1,7,9 # 6 pairs * PAIR H7: 1,6 BLK 9 I7: 1,6,3 # reduction candidate for 1,6 I7: 1,6 # 10 pairs H9: 1,6,7 # reduction candidate for 1,6 H9: 1,6 # 10 pairs * PAIR H7: 1,6 COL H H3: 1,6,4,5,8 # reduction candidate for 1,6 H3: 1,6 => SOLVED * 123456789457189236698732415216547893579368142834291657342875961765914328981623574 H3: 4,5,8 # 7 pairs * PAIR G8: 3,7 ROW 8 A8: 3,7,1,4,9 # reduction candidate for 3,7 A8: 1,4,9 # 10 pairs A8: 3,7 # 7 pairs * INCONCLUSIVE * SAVE PR GRAPH xx-mith-te3-00025953-base-pr-000.dot * REASONING * PRF # H3: 1,6 => SOL * CNT 1 HDP CHAINS / 16 HYP OPENED -------------------------------------------------- * PREPARE PR GRAPH * PAIR REDUCTION .. * LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (D8,E8,F8,G8,H7,I2) * ....56....571.9.3..9.73.....165.7.....936.1...3..916......759...65....28......5.4 * PAIR I2: 2,6 BLK 3 I3: 2,6,1,5 # reduction candidate for 2,6 I3: 2,6 # 16 pairs I3: 1,5 # 7 pairs * PAIR I2: 2,6 ROW 2 A2: 2,6,4,8 # reduction candidate for 2,6 A2: 2,6 # 9 pairs A2: 4,8 # 7 pairs * PAIR D8: 4,9 ROW 8 A8: 4,9,1,3,7 # reduction candidate for 4,9 A8: 4,9 # 18 pairs A8: 1,3,7 # 5 pairs * PAIR E8: 1,4 ROW 8 A8: 1,4,3,7,9 # reduction candidate for 1,4 A8: 1,4 # 11 pairs A8: 3,7,9 # 6 pairs * PAIR F8: 3,4 ROW 8 A8: 3,4,1,7,9 # reduction candidate for 3,4 A8: 3,4 # 12 pairs A8: 1,7,9 # 6 pairs * PAIR H7: 1,6 BLK 9 I7: 1,6,3 # reduction candidate for 1,6 I7: 1,6 # 10 pairs H9: 1,6,7 # reduction candidate for 1,6 H9: 1,6 # 10 pairs * PAIR H7: 1,6 COL H H3: 1,6,4,5,8 # reduction candidate for 1,6 H3: 1,6 => SOLVED * 123456789457189236698732415216547893579368142834291657342875961765914328981623574 * DURATION: 0:00:02.195359 START: 06:34:59.629069 END: 06:35:01.824428 2025-04-06 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00025953-base-pr-001.dot * REASONING * PRF # H3: 1,6 => SOL * STA H3: 1,6 * CNT 1 HDP CHAINS / 13 HYP OPENED
Header Info
rating: 5317; r2: 78262; index: 25953
Solution
position: 123456789457189236698732415216547893579368142834291657342875961765914328981623574 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 # I3: 2,6 => UNS * INC # I3: 1,5 => UNS * INC # A2: 2,6 => UNS * INC # A2: 4,8 => UNS * INC # A8: 4,9 => UNS * INC # A8: 1,3,7 => UNS * INC # A8: 1,4 => UNS * INC # A8: 3,7,9 => UNS * INC # A8: 3,4 => UNS * INC # A8: 1,7,9 => UNS * INC # I7: 1,6 => UNS * INC # H9: 1,6 => UNS * PRF # H3: 1,6 => SOL * INC # H3: 4,5,8 => UNS * INC # A8: 3,7 => UNS * INC # A8: 1,4,9 => UNS * CNT 16 HDP CHAINS / 16 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # I3: 2,6 => UNS * INC # I3: 1,5 => UNS * INC # A2: 2,6 => UNS * INC # A2: 4,8 => UNS * INC # A8: 4,9 => UNS * INC # A8: 1,3,7 => UNS * INC # A8: 1,4 => UNS * INC # A8: 3,7,9 => UNS * INC # A8: 3,4 => UNS * INC # A8: 1,7,9 => UNS * INC # I7: 1,6 => UNS * INC # H9: 1,6 => UNS * PRF # H3: 1,6 => SOL * STA H3: 1,6 * CNT 13 HDP CHAINS / 13 HYP OPENED