Analysis of xx-mith-te3-00020243-base.sdk
Contents
Original Sudoku
level: hard
position: 1..45.7.94..1.92......72...24179....735......968...........1..5...9.71.2.1.5..4.. initial
Autosolve
position: 1..45.7.94..1.92......72...24179....735...9..968.....7....41..5..49.71.2.1.52.4.. autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:08.633225
The following important HDP chains were detected:
* PRF # B2: 5,8 # H2: 3,6 => SOL * STA # B2: 5,8 + H2: 3,6 * CNT 1 HDP CHAINS / 33 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 1..45.7.94..1.92......72...24179....735......968...........1..5...9.71.2.1.5..4.. | initial |
| 1..45.7.94..1.92......72...24179....735...9..968.....7....41..5..49.71.2.1.52.4.. | autosolve |
| 123456789457189236896372514241793658735864921968215347372641895584937162619528473 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (13) B1: 2,8 A3: 5,8 H3: 1,4 I3: 1,4 F4: 3,5 D6: 2,3 E6: 1,3 I5: 1,4 G6: 3,5 B8: 5,8 C9: 7,9 H7: 7,9 H9: 7,9 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) H3,I3: 1.. / H3 = 1 => 12 pairs (_) / I3 = 1 => 12 pairs (_) E5,E6: 1.. / E5 = 1 => 11 pairs (_) / E6 = 1 => 14 pairs (_) E6,H6: 1.. / E6 = 1 => 14 pairs (_) / H6 = 1 => 11 pairs (_) I3,I5: 1.. / I3 = 1 => 12 pairs (_) / I5 = 1 => 12 pairs (_) B1,C1: 2.. / B1 = 2 => 14 pairs (_) / C1 = 2 => 15 pairs (_) D5,D6: 2.. / D5 = 2 => 15 pairs (_) / D6 = 2 => 14 pairs (_) H5,H6: 2.. / H5 = 2 => 14 pairs (_) / H6 = 2 => 15 pairs (_) B7,C7: 2.. / B7 = 2 => 15 pairs (_) / C7 = 2 => 14 pairs (_) D5,H5: 2.. / D5 = 2 => 15 pairs (_) / H5 = 2 => 14 pairs (_) D6,H6: 2.. / D6 = 2 => 14 pairs (_) / H6 = 2 => 15 pairs (_) B1,B7: 2.. / B1 = 2 => 14 pairs (_) / B7 = 2 => 15 pairs (_) C1,C7: 2.. / C1 = 2 => 15 pairs (_) / C7 = 2 => 14 pairs (_) H3,I3: 4.. / H3 = 4 => 12 pairs (_) / I3 = 4 => 12 pairs (_) F5,F6: 4.. / F5 = 4 => 13 pairs (_) / F6 = 4 => 14 pairs (_) F6,H6: 4.. / F6 = 4 => 14 pairs (_) / H6 = 4 => 13 pairs (_) I3,I5: 4.. / I3 = 4 => 12 pairs (_) / I5 = 4 => 12 pairs (_) H2,G3: 5.. / H2 = 5 => 14 pairs (_) / G3 = 5 => 15 pairs (_) F4,F6: 5.. / F4 = 5 => 13 pairs (_) / F6 = 5 => 12 pairs (_) A8,B8: 5.. / A8 = 5 => 19 pairs (_) / B8 = 5 => 13 pairs (_) B2,H2: 5.. / B2 = 5 => 15 pairs (_) / H2 = 5 => 14 pairs (_) F6,G6: 5.. / F6 = 5 => 12 pairs (_) / G6 = 5 => 13 pairs (_) A3,A8: 5.. / A3 = 5 => 13 pairs (_) / A8 = 5 => 19 pairs (_) H2,H4: 5.. / H2 = 5 => 14 pairs (_) / H4 = 5 => 15 pairs (_) B2,C2: 7.. / B2 = 7 => 15 pairs (_) / C2 = 7 => 12 pairs (_) H7,H9: 7.. / H7 = 7 => 13 pairs (_) / H9 = 7 => 13 pairs (_) C9,H9: 7.. / C9 = 7 => 13 pairs (_) / H9 = 7 => 13 pairs (_) B2,B7: 7.. / B2 = 7 => 15 pairs (_) / B7 = 7 => 12 pairs (_) B3,C3: 9.. / B3 = 9 => 15 pairs (_) / C3 = 9 => 14 pairs (_) H7,H9: 9.. / H7 = 9 => 13 pairs (_) / H9 = 9 => 13 pairs (_) C9,H9: 9.. / C9 = 9 => 13 pairs (_) / H9 = 9 => 13 pairs (_) B3,B7: 9.. / B3 = 9 => 15 pairs (_) / B7 = 9 => 14 pairs (_) * DURATION: 0:00:12.659096 START: 08:29:54.942384 END: 08:30:07.601480 2025-04-04 * CP COUNT: (31) * INCONCLUSIVE * DEEP PAIR REDUCTION * DURATION: 0:00:08.502265 START: 08:30:19.630716 END: 08:30:28.132981 2025-04-04 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00020243-base-pr-002.dot * REASONING * PRF # B2: 5,8 # H2: 3,6 => SOL * STA # B2: 5,8 + H2: 3,6 * CNT 1 HDP CHAINS / 33 HYP OPENED
Header Info
rating: 4224; r2: 361628; index: 20243
Solution
position: 123456789457189236896372514241793658735864921968215347372641895584937162619528473 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 # B2: 5,8 => UNS * INC # B3: 5,8 => UNS * INC # G3: 5,8 => UNS * INC # G3: 3,6 => UNS * INC # A8: 5,8 => UNS * INC # A8: 3,6 => UNS * INC # H5: 1,4 => UNS * INC # H6: 1,4 => UNS * INC # F6: 3,5 => UNS * INC # F6: 4 => UNS * INC # G4: 3,5 => UNS * INC # H4: 3,5 => UNS * INC # H5: 1,4 => UNS * INC # H6: 1,4 => UNS * INC # G4: 3,5 => UNS * INC # H4: 3,5 => UNS * INC # F6: 3,5 => UNS * INC # F6: 4 => UNS * INC # G3: 3,5 => UNS * INC # G3: 6,8 => UNS * INC # A8: 5,8 => UNS * INC # A8: 3,6 => UNS * INC # B2: 5,8 => UNS * INC # B3: 5,8 => UNS * INC # B7: 7,9 => UNS * INC # C7: 7,9 => UNS * INC # B7: 7,9 => UNS * INC # C7: 7,9 => UNS * CNT 28 HDP CHAINS / 28 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # B2: 5,8 => UNS * INC # B3: 5,8 => UNS * INC # G3: 5,8 => UNS * INC # G3: 3,6 => UNS * INC # A8: 5,8 => UNS * INC # A8: 3,6 => UNS * INC # H5: 1,4 => UNS * INC # H6: 1,4 => UNS * INC # F6: 3,5 => UNS * INC # F6: 4 => UNS * INC # G4: 3,5 => UNS * INC # H4: 3,5 => UNS * INC # H5: 1,4 => UNS * INC # H6: 1,4 => UNS * INC # G4: 3,5 => UNS * INC # H4: 3,5 => UNS * INC # F6: 3,5 => UNS * INC # F6: 4 => UNS * INC # G3: 3,5 => UNS * INC # G3: 6,8 => UNS * INC # A8: 5,8 => UNS * INC # A8: 3,6 => UNS * INC # B2: 5,8 => UNS * INC # B3: 5,8 => UNS * INC # B7: 7,9 => UNS * INC # C7: 7,9 => UNS * INC # B7: 7,9 => UNS * INC # C7: 7,9 => UNS * CNT 28 HDP CHAINS / 28 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # B2: 5,8 => UNS * INC # B3: 5,8 => UNS * INC # G3: 5,8 => UNS * INC # G3: 3,6 => UNS * INC # A8: 5,8 => UNS * INC # A8: 3,6 => UNS * INC # H5: 1,4 => UNS * INC # H6: 1,4 => UNS * INC # F6: 3,5 => UNS * INC # F6: 4 => UNS * INC # G4: 3,5 => UNS * INC # H4: 3,5 => UNS * INC # H5: 1,4 => UNS * INC # H6: 1,4 => UNS * INC # G4: 3,5 => UNS * INC # H4: 3,5 => UNS * INC # F6: 3,5 => UNS * INC # F6: 4 => UNS * INC # G3: 3,5 => UNS * INC # G3: 6,8 => UNS * INC # A8: 5,8 => UNS * INC # A8: 3,6 => UNS * INC # B2: 5,8 => UNS * INC # B3: 5,8 => UNS * INC # B7: 7,9 => UNS * INC # C7: 7,9 => UNS * INC # B7: 7,9 => UNS * INC # C7: 7,9 => UNS * INC # B2: 5,8 # F1: 3,6 => UNS * INC # B2: 5,8 # H1: 3,6 => UNS * INC # B2: 5,8 # H2: 5,8 => UNS * PRF # B2: 5,8 # H2: 3,6 => SOL * STA # B2: 5,8 + H2: 3,6 * CNT 32 HDP CHAINS / 33 HYP OPENED