Analysis of xx-mith-te3-00112063-base.sdk
Contents
Original Sudoku
level: hard
position: 1.3......45...9....891.34.5.48..5...3.58.....91.3.4.5......82.7.31...59.........6 initial
Autosolve
position: 1.3......45..89....891.34.5.48..5...3.58.....91.3.4.5......82.7.31...59.........6 autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:22.635038
The following important HDP chains were detected:
* DIS # D7: 4,5 # E9: 1,2,3,7,9 => CTR => E9: 4,5 * DIS # E9: 1,2,3,7,9 # C2: 2 => CTR => C2: 6,7 * PRF # E9: 1,2,3,7,9 + C2: 6,7 # E4: 6,7 => SOL * STA # E9: 1,2,3,7,9 + C2: 6,7 + E4: 6,7 * CNT 3 HDP CHAINS / 102 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 1.3......45...9....891.34.5.48..5...3.58.....91.3.4.5......82.7.31...59.........6 | initial |
| 1.3......45..89....891.34.5.48..5...3.58.....91.3.4.5......82.7.31...59.........6 | autosolve |
| 123456789456789123789123465248975631365812974917364852594638217631247598872591346 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (9) D1: 4,5 E1: 4,5 I6: 2,8 A7: 5,6 B7: 6,9 C7: 4,6 E7: 1,3 H7: 1,3 I8: 4,8 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) E7,H7: 1.. / E7 = 1 => 11 pairs (_) / H7 = 1 => 8 pairs (_) F5,F9: 1.. / F5 = 1 => 15 pairs (_) / F9 = 1 => 8 pairs (_) E7,E9: 3.. / E7 = 3 => 8 pairs (_) / E9 = 3 => 11 pairs (_) E7,H7: 3.. / E7 = 3 => 8 pairs (_) / H7 = 3 => 11 pairs (_) I2,I4: 3.. / I2 = 3 => 9 pairs (_) / I4 = 3 => 10 pairs (_) D1,E1: 4.. / D1 = 4 => 7 pairs (_) / E1 = 4 => 7 pairs (_) H5,I5: 4.. / H5 = 4 => 11 pairs (_) / I5 = 4 => 13 pairs (_) C7,C9: 4.. / C7 = 4 => 9 pairs (_) / C9 = 4 => 9 pairs (_) I8,H9: 4.. / I8 = 4 => 11 pairs (_) / H9 = 4 => 13 pairs (_) C7,D7: 4.. / C7 = 4 => 9 pairs (_) / D7 = 4 => 9 pairs (_) H5,H9: 4.. / H5 = 4 => 11 pairs (_) / H9 = 4 => 13 pairs (_) I5,I8: 4.. / I5 = 4 => 13 pairs (_) / I8 = 4 => 11 pairs (_) D1,E1: 5.. / D1 = 5 => 7 pairs (_) / E1 = 5 => 7 pairs (_) A7,A9: 5.. / A7 = 5 => 8 pairs (_) / A9 = 5 => 9 pairs (_) A7,D7: 5.. / A7 = 5 => 8 pairs (_) / D7 = 5 => 9 pairs (_) E1,E9: 5.. / E1 = 5 => 7 pairs (_) / E9 = 5 => 7 pairs (_) G6,I6: 8.. / G6 = 8 => 14 pairs (_) / I6 = 8 => 12 pairs (_) A8,A9: 8.. / A8 = 8 => 11 pairs (_) / A9 = 8 => 13 pairs (_) A8,I8: 8.. / A8 = 8 => 11 pairs (_) / I8 = 8 => 13 pairs (_) H1,H9: 8.. / H1 = 8 => 10 pairs (_) / H9 = 8 => 11 pairs (_) G1,I1: 9.. / G1 = 9 => 15 pairs (_) / I1 = 9 => 9 pairs (_) B7,B9: 9.. / B7 = 9 => 9 pairs (_) / B9 = 9 => 9 pairs (_) B7,D7: 9.. / B7 = 9 => 9 pairs (_) / D7 = 9 => 9 pairs (_) * DURATION: 0:00:06.665792 START: 03:35:10.459264 END: 03:35:17.125056 2025-04-05 * CP COUNT: (23) * INCONCLUSIVE * DEEP PAIR REDUCTION * DURATION: 0:00:22.338865 START: 03:35:23.585810 END: 03:35:45.924675 2025-04-05 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00112063-base-pr-002.dot * REASONING * DIS # D7: 4,5 # E9: 1,2,3,7,9 => CTR => E9: 4,5 * DIS # E9: 1,2,3,7,9 # C2: 2 => CTR => C2: 6,7 * PRF # E9: 1,2,3,7,9 + C2: 6,7 # E4: 6,7 => SOL * STA # E9: 1,2,3,7,9 + C2: 6,7 + E4: 6,7 * CNT 3 HDP CHAINS / 102 HYP OPENED
Header Info
rating: 28648; r2: 581702; index: 112063
Solution
position: 123456789456789123789123465248975631365812974917364852594638217631247598872591346 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 # D7: 4,5 => UNS * INC # D9: 4,5 => UNS * INC # E9: 4,5 => UNS * INC # E9: 1,2,3,7,9 => UNS * INC # I1: 2,8 => UNS * INC # I1: 9 => UNS * INC # D7: 5,6 => UNS * INC # D7: 4,9 => UNS * INC # D7: 6,9 => UNS * INC # D7: 4,5 => UNS * INC # D7: 4,6 => UNS * INC # D7: 5,9 => UNS * INC # E9: 1,3 => UNS * INC # E9: 2,4,5,7,9 => UNS * INC # G9: 1,3 => UNS * INC # H9: 1,3 => UNS * INC # H2: 1,3 => UNS * INC # H4: 1,3 => UNS * INC # H9: 4,8 => UNS * INC # H9: 1,3 => UNS * CNT 20 HDP CHAINS / 20 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # D7: 4,5 => UNS * INC # D9: 4,5 => UNS * INC # E9: 4,5 => UNS * INC # E9: 1,2,3,7,9 => UNS * INC # I1: 2,8 => UNS * INC # I1: 9 => UNS * INC # D7: 5,6 => UNS * INC # D7: 4,9 => UNS * INC # D7: 6,9 => UNS * INC # D7: 4,5 => UNS * INC # D7: 4,6 => UNS * INC # D7: 5,9 => UNS * INC # E9: 1,3 => UNS * INC # E9: 2,4,5,7,9 => UNS * INC # G9: 1,3 => UNS * INC # H9: 1,3 => UNS * INC # H2: 1,3 => UNS * INC # H4: 1,3 => UNS * INC # H9: 4,8 => UNS * INC # H9: 1,3 => UNS * CNT 20 HDP CHAINS / 20 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # D7: 4,5 => UNS * INC # D9: 4,5 => UNS * INC # E9: 4,5 => UNS * INC # E9: 1,2,3,7,9 => UNS * INC # I1: 2,8 => UNS * INC # I1: 9 => UNS * INC # D7: 5,6 => UNS * INC # D7: 4,9 => UNS * INC # D7: 6,9 => UNS * INC # D7: 4,5 => UNS * INC # D7: 4,6 => UNS * INC # D7: 5,9 => UNS * INC # E9: 1,3 => UNS * INC # E9: 2,4,5,7,9 => UNS * INC # G9: 1,3 => UNS * INC # H9: 1,3 => UNS * INC # H2: 1,3 => UNS * INC # H4: 1,3 => UNS * INC # H9: 4,8 => UNS * INC # H9: 1,3 => UNS * INC # D7: 4,5 # E9: 4,5 => UNS * DIS # D7: 4,5 # E9: 1,2,3,7,9 => CTR => E9: 4,5 * INC # D7: 4,5 + E9: 4,5 # I1: 2,8 => UNS * INC # D7: 4,5 + E9: 4,5 # I1: 9 => UNS * INC # D7: 4,5 + E9: 4,5 # A9: 2,7 => UNS * INC # D7: 4,5 + E9: 4,5 # C9: 2,7 => UNS * INC # D7: 4,5 + E9: 4,5 # B1: 2,7 => UNS * INC # D7: 4,5 + E9: 4,5 # B5: 2,7 => UNS * INC # D7: 4,5 + E9: 4,5 # G4: 1,9 => UNS * INC # D7: 4,5 + E9: 4,5 # I4: 1,9 => UNS * INC # D7: 4,5 + E9: 4,5 # G5: 1,9 => UNS * INC # D7: 4,5 + E9: 4,5 # I5: 1,9 => UNS * INC # D7: 4,5 + E9: 4,5 # I1: 2,8 => UNS * INC # D7: 4,5 + E9: 4,5 # I1: 9 => UNS * INC # D7: 4,5 + E9: 4,5 # A9: 2,7 => UNS * INC # D7: 4,5 + E9: 4,5 # C9: 2,7 => UNS * INC # D7: 4,5 + E9: 4,5 # B1: 2,7 => UNS * INC # D7: 4,5 + E9: 4,5 # B5: 2,7 => UNS * INC # D7: 4,5 + E9: 4,5 => UNS * INC # D9: 4,5 # E9: 4,5 => UNS * INC # D9: 4,5 # E9: 1,2,3,7,9 => UNS * INC # D9: 4,5 # I1: 2,8 => UNS * INC # D9: 4,5 # I1: 9 => UNS * INC # D9: 4,5 # A8: 2,7 => UNS * INC # D9: 4,5 # A9: 2,7 => UNS * INC # D9: 4,5 # B9: 2,7 => UNS * INC # D9: 4,5 # E9: 2,7 => UNS * INC # D9: 4,5 # F9: 2,7 => UNS * INC # D9: 4,5 # C2: 2,7 => UNS * INC # D9: 4,5 # C6: 2,7 => UNS * INC # D9: 4,5 # D4: 6,9 => UNS * INC # D9: 4,5 # D4: 2,7 => UNS * INC # D9: 4,5 # E9: 1,3 => UNS * INC # D9: 4,5 # E9: 2,4,5,7,9 => UNS * INC # D9: 4,5 # E9: 4,5 => UNS * INC # D9: 4,5 # E9: 1,2,3,7,9 => UNS * INC # D9: 4,5 # G9: 1,3 => UNS * INC # D9: 4,5 # H9: 1,3 => UNS * INC # D9: 4,5 # H2: 1,3 => UNS * INC # D9: 4,5 # H4: 1,3 => UNS * INC # D9: 4,5 # H9: 4,8 => UNS * INC # D9: 4,5 # H9: 1,3 => UNS * INC # D9: 4,5 => UNS * INC # E9: 4,5 # D7: 4,5 => UNS * INC # E9: 4,5 # D9: 4,5 => UNS * INC # E9: 4,5 # G4: 1,9 => UNS * INC # E9: 4,5 # I4: 1,9 => UNS * INC # E9: 4,5 # G5: 1,9 => UNS * INC # E9: 4,5 # I5: 1,9 => UNS * INC # E9: 4,5 # I1: 2,8 => UNS * INC # E9: 4,5 # I1: 9 => UNS * INC # E9: 4,5 # D7: 5,6 => UNS * INC # E9: 4,5 # D7: 4,9 => UNS * INC # E9: 4,5 # D7: 6,9 => UNS * INC # E9: 4,5 # D7: 4,5 => UNS * INC # E9: 4,5 # D7: 4,6 => UNS * INC # E9: 4,5 # D7: 5,9 => UNS * INC # E9: 4,5 # D7: 4,5 => UNS * INC # E9: 4,5 # D9: 4,5 => UNS * INC # E9: 4,5 # H9: 4,8 => UNS * INC # E9: 4,5 # H9: 3 => UNS * INC # E9: 4,5 # H9: 3,8 => UNS * INC # E9: 4,5 # H9: 4 => UNS * INC # E9: 4,5 => UNS * INC # E9: 1,2,3,7,9 # G2: 6,7 => UNS * INC # E9: 1,2,3,7,9 # H2: 6,7 => UNS * INC # E9: 1,2,3,7,9 # H3: 6,7 => UNS * INC # E9: 1,2,3,7,9 # B1: 6,7 => UNS * INC # E9: 1,2,3,7,9 # F1: 6,7 => UNS * INC # E9: 1,2,3,7,9 # G4: 6,7 => UNS * INC # E9: 1,2,3,7,9 # G5: 6,7 => UNS * INC # E9: 1,2,3,7,9 # G2: 1,3 => UNS * INC # E9: 1,2,3,7,9 # H2: 1,3 => UNS * INC # E9: 1,2,3,7,9 # A4: 6,7 => UNS * INC # E9: 1,2,3,7,9 # B5: 6,7 => UNS * INC # E9: 1,2,3,7,9 # C2: 6,7 => UNS * DIS # E9: 1,2,3,7,9 # C2: 2 => CTR => C2: 6,7 * INC # E9: 1,2,3,7,9 + C2: 6,7 # A4: 6,7 => UNS * INC # E9: 1,2,3,7,9 + C2: 6,7 # B5: 6,7 => UNS * INC # E9: 1,2,3,7,9 + C2: 6,7 # D4: 6,7 => UNS * PRF # E9: 1,2,3,7,9 + C2: 6,7 # E4: 6,7 => SOL * STA # E9: 1,2,3,7,9 + C2: 6,7 + E4: 6,7 * CNT 101 HDP CHAINS / 102 HYP OPENED