Analysis of xx-mith-te3-00145391-base.sdk
Contents
Original Sudoku
level: hard
position: 12..56..9.571.9...6.9.7....2.1...9.......1847.......3.51.......7.6.1259..92..56.. initial
Autosolve
position: 12..56..9.571.9...6.927....2.1...9......21847.......3.51.......7.6.1259..92..56.. autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:09.229675
The following important HDP chains were detected:
* PRF # H9: 7,8 # D9: 3,4 => SOL * STA # H9: 7,8 + D9: 3,4 * CNT 1 HDP CHAINS / 31 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 12..56..9.571.9...6.9.7....2.1...9.......1847.......3.51.......7.6.1259..92..56.. | initial |
| 12..56..9.571.9...6.927....2.1...9......21847.......3.51.......7.6.1259..92..56.. | autosolve |
| 123456789457189263689273415241738956365921847978564132514697328736812594892345671 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (11) H1: 7,8 A5: 3,9 B5: 3,6 C5: 3,5 E6: 6,9 H4: 5,6 I4: 5,6 G6: 1,2 I6: 1,2 D7: 6,9 E7: 6,9 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) G6,I6: 1.. / G6 = 1 => 12 pairs (_) / I6 = 1 => 13 pairs (_) H9,I9: 1.. / H9 = 1 => 12 pairs (_) / I9 = 1 => 9 pairs (_) G3,G6: 1.. / G3 = 1 => 13 pairs (_) / G6 = 1 => 12 pairs (_) H3,H9: 1.. / H3 = 1 => 9 pairs (_) / H9 = 1 => 12 pairs (_) G6,I6: 2.. / G6 = 2 => 13 pairs (_) / I6 = 2 => 12 pairs (_) H2,H7: 2.. / H2 = 2 => 11 pairs (_) / H7 = 2 => 12 pairs (_) H3,I3: 5.. / H3 = 5 => 10 pairs (_) / I3 = 5 => 10 pairs (_) C5,C6: 5.. / C5 = 5 => 12 pairs (_) / C6 = 5 => 12 pairs (_) D5,D6: 5.. / D5 = 5 => 12 pairs (_) / D6 = 5 => 12 pairs (_) H4,I4: 5.. / H4 = 5 => 10 pairs (_) / I4 = 5 => 10 pairs (_) C5,D5: 5.. / C5 = 5 => 12 pairs (_) / D5 = 5 => 12 pairs (_) C6,D6: 5.. / C6 = 5 => 12 pairs (_) / D6 = 5 => 12 pairs (_) H3,H4: 5.. / H3 = 5 => 10 pairs (_) / H4 = 5 => 10 pairs (_) I3,I4: 5.. / I3 = 5 => 10 pairs (_) / I4 = 5 => 10 pairs (_) H2,I2: 6.. / H2 = 6 => 10 pairs (_) / I2 = 6 => 10 pairs (_) B5,B6: 6.. / B5 = 6 => 11 pairs (_) / B6 = 6 => 10 pairs (_) H4,I4: 6.. / H4 = 6 => 10 pairs (_) / I4 = 6 => 10 pairs (_) D7,E7: 6.. / D7 = 6 => 9 pairs (_) / E7 = 6 => 10 pairs (_) B5,D5: 6.. / B5 = 6 => 11 pairs (_) / D5 = 6 => 10 pairs (_) E6,E7: 6.. / E6 = 6 => 9 pairs (_) / E7 = 6 => 10 pairs (_) H2,H4: 6.. / H2 = 6 => 10 pairs (_) / H4 = 6 => 10 pairs (_) I2,I4: 6.. / I2 = 6 => 10 pairs (_) / I4 = 6 => 10 pairs (_) G1,H1: 7.. / G1 = 7 => 16 pairs (_) / H1 = 7 => 13 pairs (_) B4,B6: 7.. / B4 = 7 => 12 pairs (_) / B6 = 7 => 13 pairs (_) F7,D9: 7.. / F7 = 7 => 14 pairs (_) / D9 = 7 => 12 pairs (_) B6,F6: 7.. / B6 = 7 => 13 pairs (_) / F6 = 7 => 12 pairs (_) D9,H9: 7.. / D9 = 7 => 12 pairs (_) / H9 = 7 => 14 pairs (_) D4,D9: 7.. / D4 = 7 => 14 pairs (_) / D9 = 7 => 12 pairs (_) G1,G7: 7.. / G1 = 7 => 16 pairs (_) / G7 = 7 => 13 pairs (_) A5,A6: 9.. / A5 = 9 => 12 pairs (_) / A6 = 9 => 8 pairs (_) D7,E7: 9.. / D7 = 9 => 10 pairs (_) / E7 = 9 => 9 pairs (_) A5,D5: 9.. / A5 = 9 => 12 pairs (_) / D5 = 9 => 8 pairs (_) E6,E7: 9.. / E6 = 9 => 10 pairs (_) / E7 = 9 => 9 pairs (_) * DURATION: 0:00:10.677653 START: 13:52:24.524180 END: 13:52:35.201833 2025-04-05 * CP COUNT: (33) * INCONCLUSIVE * DEEP PAIR REDUCTION * DURATION: 0:00:09.077132 START: 13:52:37.687858 END: 13:52:46.764990 2025-04-05 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00145391-base-pr-002.dot * REASONING * PRF # H9: 7,8 # D9: 3,4 => SOL * STA # H9: 7,8 + D9: 3,4 * CNT 1 HDP CHAINS / 31 HYP OPENED
Header Info
rating: 38844; r2: 711278; index: 145391
Solution
position: 123456789457189263689273415241738956365921847978564132514697328736812594892345671 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 # H7: 7,8 => UNS * INC # H9: 7,8 => UNS * INC # D5: 6,9 => UNS * INC # D6: 6,9 => UNS * INC # D5: 6,9 => UNS * INC # D6: 6,9 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # H7: 7,8 => UNS * INC # H9: 7,8 => UNS * INC # D5: 6,9 => UNS * INC # D6: 6,9 => UNS * INC # D5: 6,9 => UNS * INC # D6: 6,9 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # H7: 7,8 => UNS * INC # H9: 7,8 => UNS * INC # D5: 6,9 => UNS * INC # D6: 6,9 => UNS * INC # D5: 6,9 => UNS * INC # D6: 6,9 => UNS * INC # H7: 7,8 # G1: 3,4 => UNS * INC # H7: 7,8 # G3: 3,4 => UNS * INC # H7: 7,8 # I3: 3,4 => UNS * INC # H7: 7,8 # A2: 3,4 => UNS * INC # H7: 7,8 # E2: 3,4 => UNS * INC # H7: 7,8 # G7: 3,4 => UNS * INC # H7: 7,8 # G7: 2,7 => UNS * INC # H7: 7,8 # D5: 6,9 => UNS * INC # H7: 7,8 # D6: 6,9 => UNS * INC # H7: 7,8 # D5: 6,9 => UNS * INC # H7: 7,8 # D6: 6,9 => UNS * INC # H7: 7,8 => UNS * INC # H9: 7,8 # G1: 3,4 => UNS * INC # H9: 7,8 # I2: 3,4 => UNS * INC # H9: 7,8 # B3: 3,4 => UNS * INC # H9: 7,8 # F3: 3,4 => UNS * INC # H9: 7,8 # G7: 3,4 => UNS * INC # H9: 7,8 # G7: 7 => UNS * INC # H9: 7,8 # D5: 6,9 => UNS * INC # H9: 7,8 # D6: 6,9 => UNS * INC # H9: 7,8 # D5: 6,9 => UNS * INC # H9: 7,8 # D6: 6,9 => UNS * INC # H9: 7,8 # D9: 7,8 => UNS * PRF # H9: 7,8 # D9: 3,4 => SOL * STA # H9: 7,8 + D9: 3,4 * CNT 30 HDP CHAINS / 31 HYP OPENED