Analysis of xx-mith-te3-00020242-base.sdk
Contents
Original Sudoku
level: hard
position: 1..45.7.94..1.92......72.14.417.....735...9.1.68..............5...9.71.2...52.4.. initial
Autosolve
position: 1..45.7.94..1.92......72.14.417.....735...9.1.68..............5..49.71.2.1.52.4.. autosolve
Pair Reduction Variants
Pair Reduction Analysis
The following important HDP chains were detected:
* DIS # H6: 3,5 => CTR => H6: 2,4,7 * DIS # H6: 3,7 => CTR => H6: 2,4,5 * DIS # H9: 3,6,8 => CTR => H9: 7,9 * DIS # H9: 3,6,8 => CTR => H9: 7,9 * CNT 4 HDP CHAINS / 36 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction
The following important HDP chains were detected:
* DIS # H6: 3,5 => CTR => H6: 2,4,7 * DIS H6: 2,4,7 # H9: 3,6,8 => CTR => H9: 7,9 * STA H6: 2,4,7 + H9: 7,9 * CNT 2 HDP CHAINS / 65 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction Position
position: 1..45.7.94..1.92......72.14.417.....735...9.1.68.....7........5..49.71.2.1.52.4.. pair_reduction
See section Pair Reduction for the HDP chains leading to this result.
Deep Pair Reduction
Time used: 0:00:07.909679
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 / 31 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 1..45.7.94..1.92......72.14.417.....735...9.1.68..............5...9.71.2...52.4.. | initial |
| 1..45.7.94..1.92......72.14.417.....735...9.1.68..............5..49.71.2.1.52.4.. | autosolve |
| 1..45.7.94..1.92......72.14.417.....735...9.1.68.....7........5..49.71.2.1.52.4.. | pair_reduction |
| 123456789457189236896372514241793658735864921968215347372641895584937162619528473 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (12) B1: 2,8 A3: 5,8 A4: 2,9 A6: 2,9 D6: 2,3 G6: 3,5 I6: 3,7 B8: 5,8 C9: 7,9 E7: 1,4 F7: 1,4 H7: 7,9 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) E6,F6: 1.. / E6 = 1 => 12 pairs (_) / F6 = 1 => 11 pairs (_) E7,F7: 1.. / E7 = 1 => 11 pairs (_) / F7 = 1 => 12 pairs (_) E6,E7: 1.. / E6 = 1 => 12 pairs (_) / E7 = 1 => 11 pairs (_) F6,F7: 1.. / F6 = 1 => 11 pairs (_) / F7 = 1 => 12 pairs (_) B1,C1: 2.. / B1 = 2 => 13 pairs (_) / C1 = 2 => 14 pairs (_) A4,A6: 2.. / A4 = 2 => 13 pairs (_) / A6 = 2 => 12 pairs (_) D5,D6: 2.. / D5 = 2 => 16 pairs (_) / D6 = 2 => 12 pairs (_) B7,C7: 2.. / B7 = 2 => 14 pairs (_) / C7 = 2 => 13 pairs (_) A4,H4: 2.. / A4 = 2 => 13 pairs (_) / H4 = 2 => 12 pairs (_) D5,H5: 2.. / D5 = 2 => 16 pairs (_) / H5 = 2 => 12 pairs (_) B1,B7: 2.. / B1 = 2 => 13 pairs (_) / B7 = 2 => 14 pairs (_) C1,C7: 2.. / C1 = 2 => 14 pairs (_) / C7 = 2 => 13 pairs (_) H5,H6: 4.. / H5 = 4 => 15 pairs (_) / H6 = 4 => 12 pairs (_) E7,F7: 4.. / E7 = 4 => 12 pairs (_) / F7 = 4 => 11 pairs (_) H2,G3: 5.. / H2 = 5 => 13 pairs (_) / G3 = 5 => 15 pairs (_) F4,F6: 5.. / F4 = 5 => 12 pairs (_) / F6 = 5 => 12 pairs (_) A8,B8: 5.. / A8 = 5 => 18 pairs (_) / B8 = 5 => 12 pairs (_) B2,H2: 5.. / B2 = 5 => 15 pairs (_) / H2 = 5 => 13 pairs (_) A3,A8: 5.. / A3 = 5 => 12 pairs (_) / A8 = 5 => 18 pairs (_) B2,C2: 7.. / B2 = 7 => 14 pairs (_) / C2 = 7 => 12 pairs (_) H6,I6: 7.. / H6 = 7 => 0 pairs (X) / I6 = 7 => 12 pairs (_) B2,B7: 7.. / B2 = 7 => 14 pairs (_) / B7 = 7 => 12 pairs (_) I6,I9: 7.. / I6 = 7 => 12 pairs (_) / I9 = 7 => 0 pairs (X) B3,C3: 9.. / B3 = 9 => 14 pairs (_) / C3 = 9 => 13 pairs (_) A4,A6: 9.. / A4 = 9 => 12 pairs (_) / A6 = 9 => 13 pairs (_) E4,E6: 9.. / E4 = 9 => 13 pairs (_) / E6 = 9 => 12 pairs (_) H7,H9: 9.. / H7 = 9 => 13 pairs (_) / H9 = 9 => 12 pairs (_) A4,E4: 9.. / A4 = 9 => 12 pairs (_) / E4 = 9 => 13 pairs (_) A6,E6: 9.. / A6 = 9 => 13 pairs (_) / E6 = 9 => 12 pairs (_) C9,H9: 9.. / C9 = 9 => 13 pairs (_) / H9 = 9 => 12 pairs (_) B3,B7: 9.. / B3 = 9 => 14 pairs (_) / B7 = 9 => 13 pairs (_) * DURATION: 0:00:10.645516 START: 05:58:16.739393 END: 05:58:27.384909 2025-04-06 * CP COUNT: (31) * CLUE FOUND * DEEP PAIR REDUCTION * DURATION: 0:00:07.762614 START: 05:58:46.589669 END: 05:58:54.352283 2025-04-06 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00020242-base-pr-002.dot * REASONING * PRF # B2: 5,8 # H2: 3,6 => SOL * STA # B2: 5,8 + H2: 3,6 * CNT 1 HDP CHAINS / 31 HYP OPENED
Header Info
rating: 4224; r2: 361231; index: 20242
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 # H6: 2,3 => UNS * INC # H6: 4,5,7 => UNS * INC # G4: 3,5 => UNS * INC # H4: 3,5 => UNS * DIS # H6: 3,5 => CTR => H6: 2,4,7 * INC # H6: 2,4,7 => UNS * INC # F6: 3,5 => UNS * INC # F6: 1,4 => UNS * INC # G3: 3,5 => UNS * INC # G3: 6,8 => UNS * DIS # H6: 3,7 => CTR => H6: 2,4,5 * INC # H6: 2,4,5 => UNS * INC # I9: 3,7 => UNS * INC # I9: 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 # H9: 7,9 => UNS * DIS # H9: 3,6,8 => CTR => H9: 7,9 * INC # E6: 1,4 => UNS * INC # E6: 3,9 => UNS * INC # F6: 1,4 => UNS * INC # F6: 3,5 => UNS * INC # H9: 7,9 => UNS * DIS # H9: 3,6,8 => CTR => H9: 7,9 * INC # B7: 7,9 => UNS * INC # C7: 7,9 => UNS * CNT 36 HDP CHAINS / 36 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 # H6: 2,3 => UNS * INC # H6: 4,5,7 => UNS * INC # G4: 3,5 => UNS * INC # H4: 3,5 => UNS * DIS # H6: 3,5 => CTR => H6: 2,4,7 * INC H6: 2,4,7 # F6: 3,5 => UNS * INC H6: 2,4,7 # F6: 1,4 => UNS * INC H6: 2,4,7 # G3: 3,5 => UNS * INC H6: 2,4,7 # G3: 6,8 => UNS * INC H6: 2,4,7 # G4: 3,5 => UNS * INC H6: 2,4,7 # H4: 3,5 => UNS * INC H6: 2,4,7 # F6: 3,5 => UNS * INC H6: 2,4,7 # F6: 1,4 => UNS * INC H6: 2,4,7 # G3: 3,5 => UNS * INC H6: 2,4,7 # G3: 6,8 => UNS * INC H6: 2,4,7 # I9: 3,7 => UNS * INC H6: 2,4,7 # I9: 6,8 => UNS * INC H6: 2,4,7 # A8: 5,8 => UNS * INC H6: 2,4,7 # A8: 3,6 => UNS * INC H6: 2,4,7 # B2: 5,8 => UNS * INC H6: 2,4,7 # B3: 5,8 => UNS * INC H6: 2,4,7 # B7: 7,9 => UNS * INC H6: 2,4,7 # C7: 7,9 => UNS * INC H6: 2,4,7 # H9: 7,9 => UNS * DIS H6: 2,4,7 # H9: 3,6,8 => CTR => H9: 7,9 * INC H6: 2,4,7 + H9: 7,9 # B7: 7,9 => UNS * INC H6: 2,4,7 + H9: 7,9 # C7: 7,9 => UNS * INC H6: 2,4,7 + H9: 7,9 # E6: 1,4 => UNS * INC H6: 2,4,7 + H9: 7,9 # E6: 3,9 => UNS * INC H6: 2,4,7 + H9: 7,9 # F6: 1,4 => UNS * INC H6: 2,4,7 + H9: 7,9 # F6: 3,5 => UNS * INC H6: 2,4,7 + H9: 7,9 # B7: 7,9 => UNS * INC H6: 2,4,7 + H9: 7,9 # C7: 7,9 => UNS * INC H6: 2,4,7 + H9: 7,9 # B2: 5,8 => UNS * INC H6: 2,4,7 + H9: 7,9 # B3: 5,8 => UNS * INC H6: 2,4,7 + H9: 7,9 # G3: 5,8 => UNS * INC H6: 2,4,7 + H9: 7,9 # G3: 3,6 => UNS * INC H6: 2,4,7 + H9: 7,9 # A8: 5,8 => UNS * INC H6: 2,4,7 + H9: 7,9 # A8: 3,6 => UNS * INC H6: 2,4,7 + H9: 7,9 # G4: 3,5 => UNS * INC H6: 2,4,7 + H9: 7,9 # H4: 3,5 => UNS * INC H6: 2,4,7 + H9: 7,9 # F6: 3,5 => UNS * INC H6: 2,4,7 + H9: 7,9 # F6: 1,4 => UNS * INC H6: 2,4,7 + H9: 7,9 # G3: 3,5 => UNS * INC H6: 2,4,7 + H9: 7,9 # G3: 6,8 => UNS * INC H6: 2,4,7 + H9: 7,9 # H5: 2,4 => UNS * INC H6: 2,4,7 + H9: 7,9 # H5: 6,8 => UNS * INC H6: 2,4,7 + H9: 7,9 # A8: 5,8 => UNS * INC H6: 2,4,7 + H9: 7,9 # A8: 3,6 => UNS * INC H6: 2,4,7 + H9: 7,9 # B2: 5,8 => UNS * INC H6: 2,4,7 + H9: 7,9 # B3: 5,8 => UNS * INC H6: 2,4,7 + H9: 7,9 # B7: 7,9 => UNS * INC H6: 2,4,7 + H9: 7,9 # C7: 7,9 => UNS * INC H6: 2,4,7 + H9: 7,9 # E6: 1,4 => UNS * INC H6: 2,4,7 + H9: 7,9 # E6: 3,9 => UNS * INC H6: 2,4,7 + H9: 7,9 # F6: 1,4 => UNS * INC H6: 2,4,7 + H9: 7,9 # F6: 3,5 => UNS * INC H6: 2,4,7 + H9: 7,9 # B7: 7,9 => UNS * INC H6: 2,4,7 + H9: 7,9 # C7: 7,9 => UNS * STA H6: 2,4,7 + H9: 7,9 * CNT 65 HDP CHAINS / 65 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 # G4: 3,5 => UNS * INC # H4: 3,5 => UNS * INC # F6: 3,5 => UNS * INC # F6: 1,4 => UNS * INC # G3: 3,5 => UNS * INC # G3: 6,8 => UNS * INC # H5: 2,4 => UNS * INC # H5: 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 # E6: 1,4 => UNS * INC # E6: 3,9 => UNS * INC # F6: 1,4 => UNS * INC # F6: 3,5 => 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 30 HDP CHAINS / 31 HYP OPENED