Analysis of xx-mith-te3-00069918-base.sdk
Contents
Original Sudoku
level: medium
position: 12....78..........7.9....6.21.6.........128.....375.2..72.9.61.6.1.2..9889..6.2.7 initial
Autosolve
position: 12...678..........7.9....6.21.6.........128.....375.2..72.9.61.6.1.2..9889..6.2.7 autosolve
Pair Reduction Variants
Pair Reduction Analysis
The following important HDP chains were detected:
* PRF # G6: 4 => SOL * CNT 1 HDP CHAINS / 18 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction
The following important HDP chains were detected:
* PRF # G6: 4 => SOL * STA G6: 4 * CNT 1 HDP CHAINS / 10 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 12....78..........7.9....6.21.6.........128.....375.2..72.9.61.6.1.2..9889..6.2.7 | initial |
| 12...678..........7.9....6.21.6.........128.....375.2..72.9.61.6.1.2..9889..6.2.7 | autosolve |
| 123456789456789132789231564217648953534912876968375421372894615641527398895163247 | solved |
Classification
level: medium
Pairing Analysis
-------------------------------------------------- * PAIRS (10) D1: 4,9 F3: 1,8 G2: 1,9 A6: 4,9 E4: 4,8 F4: 8,9 D5: 4,9 D7: 5,8 D8: 5,7 D9: 1,5 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) G6,I6: 1.. / G6 = 1 => 12 pairs (_) / I6 = 1 => 15 pairs (_) D9,F9: 1.. / D9 = 1 => 12 pairs (_) / F9 = 1 => 13 pairs (_) D2,D3: 2.. / D2 = 2 => 12 pairs (_) / D3 = 2 => 11 pairs (_) I2,I3: 2.. / I2 = 2 => 11 pairs (_) / I3 = 2 => 12 pairs (_) D2,I2: 2.. / D2 = 2 => 12 pairs (_) / I2 = 2 => 11 pairs (_) D3,I3: 2.. / D3 = 2 => 11 pairs (_) / I3 = 2 => 12 pairs (_) E4,D5: 4.. / E4 = 4 => 0 pairs (*) / D5 = 4 => 0 pairs (X) D1,D5: 4.. / D1 = 4 => 0 pairs (*) / D5 = 4 => 0 pairs (X) B2,C2: 6.. / B2 = 6 => 11 pairs (_) / C2 = 6 => 11 pairs (_) I5,I6: 6.. / I5 = 6 => 13 pairs (_) / I6 = 6 => 12 pairs (_) D2,F2: 7.. / D2 = 7 => 12 pairs (_) / F2 = 7 => 12 pairs (_) C4,C5: 7.. / C4 = 7 => 10 pairs (_) / C5 = 7 => 12 pairs (_) H4,H5: 7.. / H4 = 7 => 12 pairs (_) / H5 = 7 => 10 pairs (_) D8,F8: 7.. / D8 = 7 => 12 pairs (_) / F8 = 7 => 12 pairs (_) C4,H4: 7.. / C4 = 7 => 10 pairs (_) / H4 = 7 => 12 pairs (_) C5,H5: 7.. / C5 = 7 => 12 pairs (_) / H5 = 7 => 10 pairs (_) D2,D8: 7.. / D2 = 7 => 12 pairs (_) / D8 = 7 => 12 pairs (_) F2,F8: 7.. / F2 = 7 => 12 pairs (_) / F8 = 7 => 12 pairs (_) B6,C6: 8.. / B6 = 8 => 11 pairs (_) / C6 = 8 => 11 pairs (_) E4,F4: 8.. / E4 = 8 => 12 pairs (_) / F4 = 8 => 0 pairs (*) D7,F7: 8.. / D7 = 8 => 11 pairs (_) / F7 = 8 => 11 pairs (_) C2,C6: 8.. / C2 = 8 => 11 pairs (_) / C6 = 8 => 11 pairs (_) D3,D7: 8.. / D3 = 8 => 11 pairs (_) / D7 = 8 => 11 pairs (_) D1,F2: 9.. / D1 = 9 => 12 pairs (_) / F2 = 9 => 0 pairs (*) A5,A6: 9.. / A5 = 9 => 16 pairs (_) / A6 = 9 => 10 pairs (_) F4,D5: 9.. / F4 = 9 => 12 pairs (_) / D5 = 9 => 0 pairs (*) D1,I1: 9.. / D1 = 9 => 12 pairs (_) / I1 = 9 => 0 pairs (*) D1,D5: 9.. / D1 = 9 => 12 pairs (_) / D5 = 9 => 0 pairs (*) F2,F4: 9.. / F2 = 9 => 0 pairs (*) / F4 = 9 => 0 pairs (X) * DURATION: 0:00:10.644411 START: 10:05:45.247008 END: 10:05:55.891419 2025-04-06 * CP COUNT: (29) * SOLUTION FOUND -------------------------------------------------- * PREPARE PR GRAPH * PAIR REDUCTION .. * LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (A6,D1,D5,D7,D8,D9,E4,F3,F4,G2) * 12...678..........7.9....6.21.6.........128.....375.2..72.9.61.6.1.2..9889..6.2.7 * PAIR D1: 4,9 ROW 1 I1: 4,9,3,5 # reduction candidate for 4,9 I1: 4,9 # 13 pairs I1: 3,5 # 13 pairs * PAIR F3: 1,8 BLK 2 D3: 1,8,2 # reduction candidate for 1,8 D3: 1,8 # 12 pairs D3: 2 # 11 pairs * PAIR G2: 1,9 BLK 3 I2: 1,9,2 # reduction candidate for 1,9 I2: 1,9 # 12 pairs I2: 2 # 11 pairs * PAIR G2: 1,9 ROW 2 F2: 1,9,7 # reduction candidate for 1,9 F2: 7 # 12 pairs F2: 1,9 # 12 pairs * PAIR G2: 1,9 COL G G6: 1,9,4 # reduction candidate for 1,9 G6: 4 => SOLVED * 123456789456789132789231564217648953534912876968375421372894615641527398895163247 G6: 1,9 # 11 pairs * PAIR A6: 4,9 BLK 4 A5: 4,9,3,5 # reduction candidate for 4,9 A5: 4,9 # 17 pairs A5: 3,5 # 11 pairs * PAIR A6: 4,9 ROW 6 G6: 4,9,1 # reduction candidate for 4,9 G6: 4,9 # 15 pairs I6: 4,9,1,6 # reduction candidate for 4,9 I6: 4,9 # 14 pairs * PAIR E4: 4,8 COL E E2: 4,8,3,5 # reduction candidate for 4,8 E2: 4,8 # 13 pairs E3: 4,8,3,5 # reduction candidate for 4,8 E3: 4,8 # 15 pairs * PAIR D5: 4,9 ROW 5 A5: 4,9,3,5 # reduction candidate for 4,9 A5: 4,9 # 17 pairs I5: 4,9,3,5,6 # reduction candidate for 4,9 I5: 4,9 # 12 pairs * INCONCLUSIVE * SAVE PR GRAPH xx-mith-te3-00069918-base-pr-000.dot * REASONING * PRF # G6: 4 => SOL * CNT 1 HDP CHAINS / 18 HYP OPENED -------------------------------------------------- * PREPARE PR GRAPH * PAIR REDUCTION .. * LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (A6,D1,D5,D7,D8,D9,E4,F3,F4,G2) * 12...678..........7.9....6.21.6.........128.....375.2..72.9.61.6.1.2..9889..6.2.7 * PAIR D1: 4,9 ROW 1 I1: 4,9,3,5 # reduction candidate for 4,9 I1: 4,9 # 13 pairs I1: 3,5 # 13 pairs * PAIR F3: 1,8 BLK 2 D3: 1,8,2 # reduction candidate for 1,8 D3: 1,8 # 12 pairs D3: 2 # 11 pairs * PAIR G2: 1,9 BLK 3 I2: 1,9,2 # reduction candidate for 1,9 I2: 1,9 # 12 pairs I2: 2 # 11 pairs * PAIR G2: 1,9 ROW 2 F2: 1,9,7 # reduction candidate for 1,9 F2: 7 # 12 pairs F2: 1,9 # 12 pairs * PAIR G2: 1,9 COL G G6: 1,9,4 # reduction candidate for 1,9 G6: 4 => SOLVED * 123456789456789132789231564217648953534912876968375421372894615641527398895163247 * DURATION: 0:00:02.152191 START: 10:05:59.610999 END: 10:06:01.763190 2025-04-06 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00069918-base-pr-001.dot * REASONING * PRF # G6: 4 => SOL * STA G6: 4 * CNT 1 HDP CHAINS / 10 HYP OPENED
Header Info
rating: 15499; r2: 408038; index: 69918
Solution
position: 123456789456789132789231564217648953534912876968375421372894615641527398895163247 solved
See section 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 # I1: 4,9 => UNS * INC # I1: 3,5 => UNS * INC # D3: 1,8 => UNS * INC # D3: 2 => UNS * INC # I2: 1,9 => UNS * INC # I2: 2 => UNS * INC # F2: 1,9 => UNS * INC # F2: 7 => UNS * INC # G6: 1,9 => UNS * PRF # G6: 4 => SOL * INC # A5: 4,9 => UNS * INC # A5: 3,5 => UNS * INC # G6: 4,9 => UNS * INC # I6: 4,9 => UNS * INC # E2: 4,8 => UNS * INC # E3: 4,8 => UNS * INC # A5: 4,9 => UNS * INC # I5: 4,9 => UNS * CNT 18 HDP CHAINS / 18 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # I1: 4,9 => UNS * INC # I1: 3,5 => UNS * INC # D3: 1,8 => UNS * INC # D3: 2 => UNS * INC # I2: 1,9 => UNS * INC # I2: 2 => UNS * INC # F2: 1,9 => UNS * INC # F2: 7 => UNS * INC # G6: 1,9 => UNS * PRF # G6: 4 => SOL * STA G6: 4 * CNT 10 HDP CHAINS / 10 HYP OPENED