Analysis of xx-mith-te3-00045518-base.sdk
Contents
Original Sudoku
level: medium
position: 1.3.567...57.8....68....5...68.71............5.183........1389.......1.4.16...375 initial
Autosolve
position: 1.3.567...57.8....68...75...68.71.53.........5.183...7....1389.......1.4.16...375 autosolve
Pair Reduction Variants
Pair Reduction Analysis
The following important HDP chains were detected:
* PRF # E8: 9 => SOL * CNT 1 HDP CHAINS / 16 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Pair Reduction
The following important HDP chains were detected:
* PRF # E8: 9 => SOL * STA E8: 9 * CNT 1 HDP CHAINS / 14 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 1.3.567...57.8....68....5...68.71............5.183........1389.......1.4.16...375 | initial |
| 1.3.567...57.8....68...75...68.71.53.........5.183...7....1389.......1.4.16...375 | autosolve |
| 123456789457189236689327541268971453374562918591834627745613892832795164916248375 | solved |
Classification
level: medium
Pairing Analysis
-------------------------------------------------- * PAIRS (9) D2: 1,3 D3: 1,3 A5: 3,7 B5: 3,7 D5: 5,6 H5: 1,8 I5: 1,8 I7: 2,6 H8: 2,6 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) D2,D3: 1.. / D2 = 1 => 7 pairs (_) / D3 = 1 => 8 pairs (_) H5,I5: 1.. / H5 = 1 => 8 pairs (_) / I5 = 1 => 11 pairs (_) I7,H8: 2.. / I7 = 2 => 14 pairs (_) / H8 = 2 => 14 pairs (_) D2,D3: 3.. / D2 = 3 => 8 pairs (_) / D3 = 3 => 7 pairs (_) H2,H3: 3.. / H2 = 3 => 7 pairs (_) / H3 = 3 => 8 pairs (_) A5,B5: 3.. / A5 = 3 => 8 pairs (_) / B5 = 3 => 12 pairs (_) A8,B8: 3.. / A8 = 3 => 12 pairs (_) / B8 = 3 => 8 pairs (_) D2,H2: 3.. / D2 = 3 => 8 pairs (_) / H2 = 3 => 7 pairs (_) D3,H3: 3.. / D3 = 3 => 7 pairs (_) / H3 = 3 => 8 pairs (_) A5,A8: 3.. / A5 = 3 => 8 pairs (_) / A8 = 3 => 12 pairs (_) B5,B8: 3.. / B5 = 3 => 12 pairs (_) / B8 = 3 => 8 pairs (_) D5,F5: 5.. / D5 = 5 => 14 pairs (_) / F5 = 5 => 14 pairs (_) C7,C8: 5.. / C7 = 5 => 15 pairs (_) / C8 = 5 => 13 pairs (_) C7,D7: 5.. / C7 = 5 => 15 pairs (_) / D7 = 5 => 13 pairs (_) F5,F8: 5.. / F5 = 5 => 14 pairs (_) / F8 = 5 => 14 pairs (_) D5,E5: 6.. / D5 = 6 => 14 pairs (_) / E5 = 6 => 14 pairs (_) G6,H6: 6.. / G6 = 6 => 12 pairs (_) / H6 = 6 => 12 pairs (_) I7,H8: 6.. / I7 = 6 => 14 pairs (_) / H8 = 6 => 14 pairs (_) D7,I7: 6.. / D7 = 6 => 14 pairs (_) / I7 = 6 => 14 pairs (_) E5,E8: 6.. / E5 = 6 => 14 pairs (_) / E8 = 6 => 14 pairs (_) G2,G6: 6.. / G2 = 6 => 12 pairs (_) / G6 = 6 => 12 pairs (_) I2,I7: 6.. / I2 = 6 => 14 pairs (_) / I7 = 6 => 14 pairs (_) A5,B5: 7.. / A5 = 7 => 12 pairs (_) / B5 = 7 => 8 pairs (_) D7,D8: 7.. / D7 = 7 => 15 pairs (_) / D8 = 7 => 10 pairs (_) H1,I1: 8.. / H1 = 8 => 8 pairs (_) / I1 = 8 => 11 pairs (_) H5,I5: 8.. / H5 = 8 => 11 pairs (_) / I5 = 8 => 8 pairs (_) A8,A9: 8.. / A8 = 8 => 10 pairs (_) / A9 = 8 => 12 pairs (_) F8,F9: 8.. / F8 = 8 => 12 pairs (_) / F9 = 8 => 10 pairs (_) A8,F8: 8.. / A8 = 8 => 10 pairs (_) / F8 = 8 => 12 pairs (_) A9,F9: 8.. / A9 = 8 => 12 pairs (_) / F9 = 8 => 10 pairs (_) H1,H5: 8.. / H1 = 8 => 8 pairs (_) / H5 = 8 => 11 pairs (_) I1,I5: 8.. / I1 = 8 => 11 pairs (_) / I5 = 8 => 8 pairs (_) * DURATION: 0:00:13.165619 START: 14:34:25.283580 END: 14:34:38.449199 2025-04-04 * CP COUNT: (32) * INCONCLUSIVE -------------------------------------------------- * PREPARE PR GRAPH * PAIR REDUCTION .. * LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (A5,B5,D2,D3,D5,H5,H8,I5,I7) * 1.3.567...57.8....68...75...68.71.53.........5.183...7....1389.......1.4.16...375 * PAIR D2: 1,3 ROW 2 H2: 1,3,2,4,6 # reduction candidate for 1,3 H2: 2,4,6 # 14 pairs H2: 1,3 # 10 pairs * PAIR D3: 1,3 ROW 3 H3: 1,3,2,4 # reduction candidate for 1,3 H3: 1,3 # 11 pairs H3: 2,4 # 7 pairs * PAIR A5: 3,7 COL A A8: 3,7,2,8,9 # reduction candidate for 3,7 A8: 3,7 # 14 pairs A8: 2,8,9 # 9 pairs * PAIR B5: 3,7 COL B B8: 3,7,2,9 # reduction candidate for 3,7 B8: 3,7 # 11 pairs B8: 2,9 # 11 pairs * PAIR D5: 5,6 COL D D7: 5,6,7 # reduction candidate for 5,6 D7: 5,6 # 10 pairs D8: 5,6,7 # reduction candidate for 5,6 D8: 5,6 # 15 pairs * PAIR I7: 2,6 COL I I2: 2,6,1,9 # reduction candidate for 2,6 I2: 1,9 # 15 pairs I2: 2,6 # 13 pairs * PAIR H8: 2,6 ROW 8 E8: 2,6,9 # reduction candidate for 2,6 E8: 9 => SOLVED * 123456789457189236689327541268971453374562918591834627745613892832795164916248375 E8: 2,6 # 12 pairs * PAIR H8: 2,6 COL H H2: 2,6,1,3,4 # reduction candidate for 2,6 H2: 2,6 # 18 pairs H6: 2,6,4 # reduction candidate for 2,6 H6: 2,6 # 12 pairs * INCONCLUSIVE * SAVE PR GRAPH xx-mith-te3-00045518-base-pr-000.dot * REASONING * PRF # E8: 9 => SOL * CNT 1 HDP CHAINS / 16 HYP OPENED -------------------------------------------------- * PREPARE PR GRAPH * PAIR REDUCTION .. * LEVEL 0 PASS 1 ROUND 1 (AUTO SOLVE) (A5,B5,D2,D3,D5,H5,H8,I5,I7) * 1.3.567...57.8....68...75...68.71.53.........5.183...7....1389.......1.4.16...375 * PAIR D2: 1,3 ROW 2 H2: 1,3,2,4,6 # reduction candidate for 1,3 H2: 2,4,6 # 14 pairs H2: 1,3 # 10 pairs * PAIR D3: 1,3 ROW 3 H3: 1,3,2,4 # reduction candidate for 1,3 H3: 1,3 # 11 pairs H3: 2,4 # 7 pairs * PAIR A5: 3,7 COL A A8: 3,7,2,8,9 # reduction candidate for 3,7 A8: 3,7 # 14 pairs A8: 2,8,9 # 9 pairs * PAIR B5: 3,7 COL B B8: 3,7,2,9 # reduction candidate for 3,7 B8: 3,7 # 11 pairs B8: 2,9 # 11 pairs * PAIR D5: 5,6 COL D D7: 5,6,7 # reduction candidate for 5,6 D7: 5,6 # 10 pairs D8: 5,6,7 # reduction candidate for 5,6 D8: 5,6 # 15 pairs * PAIR I7: 2,6 COL I I2: 2,6,1,9 # reduction candidate for 2,6 I2: 1,9 # 15 pairs I2: 2,6 # 13 pairs * PAIR H8: 2,6 ROW 8 E8: 2,6,9 # reduction candidate for 2,6 E8: 9 => SOLVED * 123456789457189236689327541268971453374562918591834627745613892832795164916248375 * DURATION: 0:00:03.328286 START: 14:34:42.296769 END: 14:34:45.625055 2025-04-04 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00045518-base-pr-001.dot * REASONING * PRF # E8: 9 => SOL * STA E8: 9 * CNT 1 HDP CHAINS / 14 HYP OPENED
Header Info
rating: 9458; r2: 364921; index: 45518
Solution
position: 123456789457189236689327541268971453374562918591834627745613892832795164916248375 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 # H2: 1,3 => UNS * INC # H2: 2,4,6 => UNS * INC # H3: 1,3 => UNS * INC # H3: 2,4 => UNS * INC # A8: 3,7 => UNS * INC # A8: 2,8,9 => UNS * INC # B8: 3,7 => UNS * INC # B8: 2,9 => UNS * INC # D7: 5,6 => UNS * INC # D8: 5,6 => UNS * INC # I2: 2,6 => UNS * INC # I2: 1,9 => UNS * INC # E8: 2,6 => UNS * PRF # E8: 9 => SOL * INC # H2: 2,6 => UNS * INC # H6: 2,6 => UNS * CNT 16 HDP CHAINS / 16 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # H2: 1,3 => UNS * INC # H2: 2,4,6 => UNS * INC # H3: 1,3 => UNS * INC # H3: 2,4 => UNS * INC # A8: 3,7 => UNS * INC # A8: 2,8,9 => UNS * INC # B8: 3,7 => UNS * INC # B8: 2,9 => UNS * INC # D7: 5,6 => UNS * INC # D8: 5,6 => UNS * INC # I2: 2,6 => UNS * INC # I2: 1,9 => UNS * INC # E8: 2,6 => UNS * PRF # E8: 9 => SOL * STA E8: 9 * CNT 14 HDP CHAINS / 14 HYP OPENED