Analysis of xx-mith-te3-00058987-base.sdk
Contents
Original Sudoku
level: hard
position: ...4.6789.......3..8.....4526..489...78.9.4.......78...47.62.98.9......48.29.4... initial
Autosolve
position: ...4.6789.......3..8.....4526..489...78.9.4.......78...47.62.9869......48.29.4... autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:16.125742
The following important HDP chains were detected:
* DIS # C2: 6 # A7: 1,3 => CTR => A7: 5 * PRF # C2: 6 + A7: 5 # E8: 1,3 => SOL * STA # C2: 6 + A7: 5 + E8: 1,3 * CNT 2 HDP CHAINS / 72 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| ...4.6789.......3..8.....4526..489...78.9.4.......78...47.62.98.9......48.29.4... | initial |
| ...4.6789.......3..8.....4526..489...78.9.4.......78...47.62.9869......48.29.4... | autosolve |
| 123456789456789132789213645265348917378591426914627853547162398691835274832974561 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (4) A3: 7,9 C3: 6,9 A6: 4,9 C6: 4,9 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) B1,B2: 2.. / B1 = 2 => 6 pairs (_) / B2 = 2 => 11 pairs (_) G8,H8: 2.. / G8 = 2 => 11 pairs (_) / H8 = 2 => 7 pairs (_) B1,E1: 2.. / B1 = 2 => 6 pairs (_) / E1 = 2 => 11 pairs (_) A2,C2: 4.. / A2 = 4 => 5 pairs (_) / C2 = 4 => 3 pairs (_) A6,C6: 4.. / A6 = 4 => 3 pairs (_) / C6 = 4 => 5 pairs (_) A2,A6: 4.. / A2 = 4 => 5 pairs (_) / A6 = 4 => 3 pairs (_) C2,C6: 4.. / C2 = 4 => 3 pairs (_) / C6 = 4 => 5 pairs (_) C2,C3: 6.. / C2 = 6 => 11 pairs (_) / C3 = 6 => 5 pairs (_) D5,D6: 6.. / D5 = 6 => 4 pairs (_) / D6 = 6 => 4 pairs (_) C3,G3: 6.. / C3 = 6 => 5 pairs (_) / G3 = 6 => 11 pairs (_) A2,A3: 7.. / A2 = 7 => 2 pairs (_) / A3 = 7 => 7 pairs (_) H4,I4: 7.. / H4 = 7 => 9 pairs (_) / I4 = 7 => 6 pairs (_) I4,I9: 7.. / I4 = 7 => 6 pairs (_) / I9 = 7 => 9 pairs (_) D2,E2: 8.. / D2 = 8 => 4 pairs (_) / E2 = 8 => 4 pairs (_) D8,E8: 8.. / D8 = 8 => 4 pairs (_) / E8 = 8 => 4 pairs (_) D2,D8: 8.. / D2 = 8 => 4 pairs (_) / D8 = 8 => 4 pairs (_) E2,E8: 8.. / E2 = 8 => 4 pairs (_) / E8 = 8 => 4 pairs (_) F2,F3: 9.. / F2 = 9 => 7 pairs (_) / F3 = 9 => 9 pairs (_) A6,C6: 9.. / A6 = 9 => 5 pairs (_) / C6 = 9 => 3 pairs (_) * DURATION: 0:00:06.144790 START: 09:24:53.205306 END: 09:24:59.350096 2025-04-06 * CP COUNT: (19) * INCONCLUSIVE * DEEP PAIR REDUCTION * DURATION: 0:00:15.928112 START: 09:25:02.592076 END: 09:25:18.520188 2025-04-06 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00058987-base-pr-002.dot * REASONING * DIS # C2: 6 # A7: 1,3 => CTR => A7: 5 * PRF # C2: 6 + A7: 5 # E8: 1,3 => SOL * STA # C2: 6 + A7: 5 + E8: 1,3 * CNT 2 HDP CHAINS / 72 HYP OPENED
Header Info
rating: 12386; r2: 246806; index: 58987
Solution
position: 123456789456789132789213645265348917378591426914627853547162398691835274832974561 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 # A2: 7,9 => UNS * INC # A2: 4 => UNS * INC # C2: 6,9 => UNS * INC # C2: 4 => UNS * INC # A2: 4,9 => UNS * INC # A2: 7 => UNS * INC # C2: 4,9 => UNS * INC # C2: 6 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # A2: 7,9 => UNS * INC # A2: 4 => UNS * INC # C2: 6,9 => UNS * INC # C2: 4 => UNS * INC # A2: 4,9 => UNS * INC # A2: 7 => UNS * INC # C2: 4,9 => UNS * INC # C2: 6 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # A2: 7,9 => UNS * INC # A2: 4 => UNS * INC # C2: 6,9 => UNS * INC # C2: 4 => UNS * INC # A2: 4,9 => UNS * INC # A2: 7 => UNS * INC # C2: 4,9 => UNS * INC # C2: 6 => UNS * INC # A2: 7,9 # G2: 1,2 => UNS * INC # A2: 7,9 # I2: 1,2 => UNS * INC # A2: 7,9 # D3: 1,2 => UNS * INC # A2: 7,9 # E3: 1,2 => UNS * INC # A2: 7,9 # G8: 1,2 => UNS * INC # A2: 7,9 # G8: 3,5 => UNS * INC # A2: 7,9 => UNS * INC # A2: 4 # E8: 7,8 => UNS * INC # A2: 4 # E8: 1,3,5 => UNS * INC # A2: 4 # E8: 7,8 => UNS * INC # A2: 4 # E8: 1,3,5 => UNS * INC # A2: 4 => UNS * INC # C2: 6,9 # E8: 7,8 => UNS * INC # C2: 6,9 # E8: 1,3,5 => UNS * INC # C2: 6,9 # E8: 7,8 => UNS * INC # C2: 6,9 # E8: 1,3,5 => UNS * INC # C2: 6,9 => UNS * INC # C2: 4 # G2: 1,2 => UNS * INC # C2: 4 # I2: 1,2 => UNS * INC # C2: 4 # D3: 1,2 => UNS * INC # C2: 4 # E3: 1,2 => UNS * INC # C2: 4 # G8: 1,2 => UNS * INC # C2: 4 # G8: 3,5 => UNS * INC # C2: 4 => UNS * INC # A2: 4,9 # C2: 4,9 => UNS * INC # A2: 4,9 # C2: 6 => UNS * INC # A2: 4,9 # C2: 6,9 => UNS * INC # A2: 4,9 # C2: 4 => UNS * INC # A2: 4,9 # E8: 7,8 => UNS * INC # A2: 4,9 # E8: 1,3,5 => UNS * INC # A2: 4,9 # C2: 4,9 => UNS * INC # A2: 4,9 # C2: 6 => UNS * INC # A2: 4,9 # E8: 7,8 => UNS * INC # A2: 4,9 # E8: 1,3,5 => UNS * INC # A2: 4,9 => UNS * INC # A2: 7 # D3: 1,3 => UNS * INC # A2: 7 # E3: 1,3 => UNS * INC # A2: 7 # F5: 1,3 => UNS * INC # A2: 7 # F8: 1,3 => UNS * INC # A2: 7 # G2: 1,2 => UNS * INC # A2: 7 # I2: 1,2 => UNS * INC # A2: 7 # D3: 1,2 => UNS * INC # A2: 7 # E3: 1,2 => UNS * INC # A2: 7 # G8: 1,2 => UNS * INC # A2: 7 # G8: 3,5 => UNS * INC # A2: 7 => UNS * INC # C2: 4,9 # A2: 4,9 => UNS * INC # C2: 4,9 # A2: 7 => UNS * INC # C2: 4,9 # A2: 7,9 => UNS * INC # C2: 4,9 # A2: 4 => UNS * INC # C2: 4,9 # G2: 1,2 => UNS * INC # C2: 4,9 # I2: 1,2 => UNS * INC # C2: 4,9 # D3: 1,2 => UNS * INC # C2: 4,9 # E3: 1,2 => UNS * INC # C2: 4,9 # G8: 1,2 => UNS * INC # C2: 4,9 # G8: 3,5 => UNS * INC # C2: 4,9 # A2: 4,9 => UNS * INC # C2: 4,9 # A2: 7 => UNS * INC # C2: 4,9 => UNS * INC # C2: 6 # A5: 1,3 => UNS * DIS # C2: 6 # A7: 1,3 => CTR => A7: 5 * INC # C2: 6 + A7: 5 # E8: 7,8 => UNS * PRF # C2: 6 + A7: 5 # E8: 1,3 => SOL * STA # C2: 6 + A7: 5 + E8: 1,3 * CNT 71 HDP CHAINS / 72 HYP OPENED