Analysis of xx-mith-te3-00139920-base.sdk
Contents
Original Sudoku
level: hard
position: 12......9.57..926.6.9..2.51....385.....5.491...56......617...9.5.2....7.......... initial
Autosolve
position: 12....7.9.57..926.6.9.72.51....385.....52491...56.7....617...925.2....7....2....5 autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:11.215065
The following important HDP chains were detected:
* PRF # B6: 4 # C1: 3,8 => SOL * STA # B6: 4 + C1: 3,8 * CNT 1 HDP CHAINS / 53 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 12......9.57..926.6.9..2.51....385.....5.491...56......617...9.5.2....7.......... | initial |
| 12....7.9.57..926.6.9.72.51....385.....52491...56.7....617...925.2....7....2....5 | autosolve |
| 123456789457189263689372451216938547738524916945617328361745892592863174874291635 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (11) E1: 5,6 F1: 5,6 C4: 4,6 D4: 1,9 E6: 1,9 H4: 2,4 I4: 6,7 I5: 6,7 F7: 3,5 G8: 1,6 G9: 1,6 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) D2,E2: 1.. / D2 = 1 => 12 pairs (_) / E2 = 1 => 12 pairs (_) B4,B6: 1.. / B4 = 1 => 12 pairs (_) / B6 = 1 => 12 pairs (_) D4,E6: 1.. / D4 = 1 => 12 pairs (_) / E6 = 1 => 12 pairs (_) F8,F9: 1.. / F8 = 1 => 10 pairs (_) / F9 = 1 => 10 pairs (_) G8,G9: 1.. / G8 = 1 => 10 pairs (_) / G9 = 1 => 10 pairs (_) B4,D4: 1.. / B4 = 1 => 12 pairs (_) / D4 = 1 => 12 pairs (_) B6,E6: 1.. / B6 = 1 => 12 pairs (_) / E6 = 1 => 12 pairs (_) F8,G8: 1.. / F8 = 1 => 10 pairs (_) / G8 = 1 => 10 pairs (_) F9,G9: 1.. / F9 = 1 => 10 pairs (_) / G9 = 1 => 10 pairs (_) D2,D4: 1.. / D2 = 1 => 12 pairs (_) / D4 = 1 => 12 pairs (_) E2,E6: 1.. / E2 = 1 => 12 pairs (_) / E6 = 1 => 12 pairs (_) A4,A6: 2.. / A4 = 2 => 14 pairs (_) / A6 = 2 => 11 pairs (_) H4,H6: 2.. / H4 = 2 => 11 pairs (_) / H6 = 2 => 14 pairs (_) A4,H4: 2.. / A4 = 2 => 14 pairs (_) / H4 = 2 => 11 pairs (_) A6,H6: 2.. / A6 = 2 => 11 pairs (_) / H6 = 2 => 14 pairs (_) E1,F1: 5.. / E1 = 5 => 11 pairs (_) / F1 = 5 => 12 pairs (_) E7,F7: 5.. / E7 = 5 => 12 pairs (_) / F7 = 5 => 11 pairs (_) E1,E7: 5.. / E1 = 5 => 11 pairs (_) / E7 = 5 => 12 pairs (_) F1,F7: 5.. / F1 = 5 => 12 pairs (_) / F7 = 5 => 11 pairs (_) E1,F1: 6.. / E1 = 6 => 12 pairs (_) / F1 = 6 => 11 pairs (_) C4,C5: 6.. / C4 = 6 => 9 pairs (_) / C5 = 6 => 14 pairs (_) I4,I5: 6.. / I4 = 6 => 14 pairs (_) / I5 = 6 => 9 pairs (_) G8,G9: 6.. / G8 = 6 => 10 pairs (_) / G9 = 6 => 10 pairs (_) C4,I4: 6.. / C4 = 6 => 9 pairs (_) / I4 = 6 => 14 pairs (_) C5,I5: 6.. / C5 = 6 => 14 pairs (_) / I5 = 6 => 9 pairs (_) I4,I5: 7.. / I4 = 7 => 9 pairs (_) / I5 = 7 => 14 pairs (_) A9,B9: 7.. / A9 = 7 => 15 pairs (_) / B9 = 7 => 12 pairs (_) D4,E6: 9.. / D4 = 9 => 12 pairs (_) / E6 = 9 => 12 pairs (_) D4,D8: 9.. / D4 = 9 => 12 pairs (_) / D8 = 9 => 12 pairs (_) * DURATION: 0:00:10.026156 START: 12:41:55.767639 END: 12:42:05.793795 2025-04-05 * CP COUNT: (29) * INCONCLUSIVE * DEEP PAIR REDUCTION * DURATION: 0:00:11.058902 START: 12:42:10.642377 END: 12:42:21.701279 2025-04-05 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00139920-base-pr-002.dot * REASONING * PRF # B6: 4 # C1: 3,8 => SOL * STA # B6: 4 + C1: 3,8 * CNT 1 HDP CHAINS / 53 HYP OPENED
Header Info
rating: 37139; r2: 759841; index: 139920
Solution
position: 123456789457189263689372451216938547738524916945617328361745892592863174874291635 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 # B4: 1,9 => UNS * INC # B4: 4,7 => UNS * INC # B6: 1,9 => UNS * INC # B6: 4 => UNS * INC # H6: 2,4 => UNS * INC # H6: 3,8 => UNS * INC # A4: 2,4 => UNS * INC # A4: 7,9 => UNS * INC # F8: 1,6 => UNS * INC # F8: 3 => UNS * INC # F9: 1,6 => UNS * INC # F9: 3 => UNS * CNT 12 HDP CHAINS / 12 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # B4: 1,9 => UNS * INC # B4: 4,7 => UNS * INC # B6: 1,9 => UNS * INC # B6: 4 => UNS * INC # H6: 2,4 => UNS * INC # H6: 3,8 => UNS * INC # A4: 2,4 => UNS * INC # A4: 7,9 => UNS * INC # F8: 1,6 => UNS * INC # F8: 3 => UNS * INC # F9: 1,6 => UNS * INC # F9: 3 => UNS * CNT 12 HDP CHAINS / 12 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # B4: 1,9 => UNS * INC # B4: 4,7 => UNS * INC # B6: 1,9 => UNS * INC # B6: 4 => UNS * INC # H6: 2,4 => UNS * INC # H6: 3,8 => UNS * INC # A4: 2,4 => UNS * INC # A4: 7,9 => UNS * INC # F8: 1,6 => UNS * INC # F8: 3 => UNS * INC # F9: 1,6 => UNS * INC # F9: 3 => UNS * INC # B4: 1,9 # B6: 1,9 => UNS * INC # B4: 1,9 # B6: 4 => UNS * INC # B4: 1,9 # B6: 1,9 => UNS * INC # B4: 1,9 # B6: 4 => UNS * INC # B4: 1,9 # H6: 2,4 => UNS * INC # B4: 1,9 # H6: 3,8 => UNS * INC # B4: 1,9 # A4: 2,4 => UNS * INC # B4: 1,9 # A4: 7 => UNS * INC # B4: 1,9 # F8: 1,6 => UNS * INC # B4: 1,9 # F8: 3 => UNS * INC # B4: 1,9 # F9: 1,6 => UNS * INC # B4: 1,9 # F9: 3 => UNS * INC # B4: 1,9 => UNS * INC # B4: 4,7 # B5: 3,8 => UNS * INC # B4: 4,7 # C5: 3,8 => UNS * INC # B4: 4,7 # A2: 3,8 => UNS * INC # B4: 4,7 # A7: 3,8 => UNS * INC # B4: 4,7 # F8: 1,6 => UNS * INC # B4: 4,7 # F8: 3 => UNS * INC # B4: 4,7 # F9: 1,6 => UNS * INC # B4: 4,7 # F9: 3 => UNS * INC # B4: 4,7 => UNS * INC # B6: 1,9 # A4: 2,4 => UNS * INC # B6: 1,9 # A4: 7,9 => UNS * INC # B6: 1,9 # H6: 2,4 => UNS * INC # B6: 1,9 # H6: 3,8 => UNS * INC # B6: 1,9 # B4: 1,9 => UNS * INC # B6: 1,9 # B4: 4,7 => UNS * INC # B6: 1,9 # B4: 1,9 => UNS * INC # B6: 1,9 # B4: 4,7 => UNS * INC # B6: 1,9 # H6: 2,4 => UNS * INC # B6: 1,9 # H6: 3,8 => UNS * INC # B6: 1,9 # A4: 2,4 => UNS * INC # B6: 1,9 # A4: 7,9 => UNS * INC # B6: 1,9 # F8: 1,6 => UNS * INC # B6: 1,9 # F8: 3 => UNS * INC # B6: 1,9 # F9: 1,6 => UNS * INC # B6: 1,9 # F9: 3 => UNS * INC # B6: 1,9 => UNS * PRF # B6: 4 # C1: 3,8 => SOL * STA # B6: 4 + C1: 3,8 * CNT 52 HDP CHAINS / 53 HYP OPENED