Analysis of xx-mith-te3-00147529-base.sdk
Contents
Original Sudoku
level: hard
position: .2.....894.6.89...7....1......51.39...5.92.189..8..........89.1.3..2.85......5.23 initial
Autosolve
position: .23....894.6.89...7....1......51.39.3.5.92.189..8.3........89.1.3..2.85......5.23 autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:09.937398
The following important HDP chains were detected:
* DIS # G1: 4,6,7 # D2: 2 => CTR => D2: 3,7 * DIS # G1: 4,6,7 + D2: 3,7 # D7: 4,7 => CTR => D7: 3,6 * DIS # G1: 4,6,7 + D2: 3,7 + D7: 3,6 # E7: 4,7 => CTR => E7: 3,6 * PRF # G1: 4,6,7 + D2: 3,7 + D7: 3,6 + E7: 3,6 # B5: 4,7 => SOL * STA # G1: 4,6,7 + D2: 3,7 + D7: 3,6 + E7: 3,6 + B5: 4,7 * CNT 4 HDP CHAINS / 40 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| .2.....894.6.89...7....1......51.39...5.92.189..8..........89.1.3..2.85......5.23 | initial |
| .23....894.6.89...7....1......51.39.3.5.92.189..8.3........89.1.3..2.85......5.23 | autosolve |
| 123456789456789132789231546268514397375692418914873265542368971631927854897145623 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (8) A1: 1,5 B2: 1,5 B3: 8,9 C3: 8,9 H2: 3,7 A8: 1,6 D8: 1,9 D9: 1,9 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) A1,B2: 1.. / A1 = 1 => 12 pairs (_) / B2 = 1 => 11 pairs (_) G1,G2: 1.. / G1 = 1 => 11 pairs (_) / G2 = 1 => 12 pairs (_) B6,C6: 1.. / B6 = 1 => 13 pairs (_) / C6 = 1 => 10 pairs (_) D8,D9: 1.. / D8 = 1 => 8 pairs (_) / D9 = 1 => 7 pairs (_) A1,G1: 1.. / A1 = 1 => 12 pairs (_) / G1 = 1 => 11 pairs (_) B2,G2: 1.. / B2 = 1 => 11 pairs (_) / G2 = 1 => 12 pairs (_) D2,D3: 2.. / D2 = 2 => 9 pairs (_) / D3 = 2 => 10 pairs (_) A7,C7: 2.. / A7 = 2 => 12 pairs (_) / C7 = 2 => 11 pairs (_) A4,A7: 2.. / A4 = 2 => 11 pairs (_) / A7 = 2 => 12 pairs (_) H2,H3: 3.. / H2 = 3 => 9 pairs (_) / H3 = 3 => 10 pairs (_) D7,E7: 3.. / D7 = 3 => 15 pairs (_) / E7 = 3 => 10 pairs (_) D2,H2: 3.. / D2 = 3 => 10 pairs (_) / H2 = 3 => 9 pairs (_) E3,E7: 3.. / E3 = 3 => 15 pairs (_) / E7 = 3 => 10 pairs (_) A1,B2: 5.. / A1 = 5 => 11 pairs (_) / B2 = 5 => 12 pairs (_) E1,E3: 5.. / E1 = 5 => 13 pairs (_) / E3 = 5 => 11 pairs (_) G6,I6: 5.. / G6 = 5 => 9 pairs (_) / I6 = 5 => 10 pairs (_) A7,B7: 5.. / A7 = 5 => 12 pairs (_) / B7 = 5 => 11 pairs (_) A1,A7: 5.. / A1 = 5 => 11 pairs (_) / A7 = 5 => 12 pairs (_) B2,B7: 5.. / B2 = 5 => 12 pairs (_) / B7 = 5 => 11 pairs (_) B3,C3: 8.. / B3 = 8 => 5 pairs (_) / C3 = 8 => 6 pairs (_) A4,A9: 8.. / A4 = 8 => 13 pairs (_) / A9 = 8 => 9 pairs (_) B3,C3: 9.. / B3 = 9 => 6 pairs (_) / C3 = 9 => 5 pairs (_) D8,D9: 9.. / D8 = 9 => 7 pairs (_) / D9 = 9 => 8 pairs (_) C8,D8: 9.. / C8 = 9 => 8 pairs (_) / D8 = 9 => 7 pairs (_) B3,B9: 9.. / B3 = 9 => 6 pairs (_) / B9 = 9 => 5 pairs (_) * DURATION: 0:00:07.305848 START: 22:15:00.013111 END: 22:15:07.318959 2025-04-06 * CP COUNT: (25) * INCONCLUSIVE * DEEP PAIR REDUCTION * DURATION: 0:00:09.780913 START: 22:15:12.535374 END: 22:15:22.316287 2025-04-06 * SOLUTION FOUND * SAVE PR GRAPH xx-mith-te3-00147529-base-pr-002.dot * REASONING * DIS # G1: 4,6,7 # D2: 2 => CTR => D2: 3,7 * DIS # G1: 4,6,7 + D2: 3,7 # D7: 4,7 => CTR => D7: 3,6 * DIS # G1: 4,6,7 + D2: 3,7 + D7: 3,6 # E7: 4,7 => CTR => E7: 3,6 * PRF # G1: 4,6,7 + D2: 3,7 + D7: 3,6 + E7: 3,6 # B5: 4,7 => SOL * STA # G1: 4,6,7 + D2: 3,7 + D7: 3,6 + E7: 3,6 + B5: 4,7 * CNT 4 HDP CHAINS / 40 HYP OPENED
Header Info
rating: 39539; r2: 748178; index: 147529
Solution
position: 123456789456789132789231546268514397375692418914873265542368971631927854897145623 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 # G1: 1,5 => UNS * INC # G1: 4,6,7 => UNS * INC # G2: 1,5 => UNS * INC # G2: 2,7 => UNS * INC # B9: 8,9 => UNS * INC # B9: 1,4,6,7 => UNS * INC # C9: 8,9 => UNS * INC # C9: 1,4,7 => UNS * INC # D2: 3,7 => UNS * INC # D2: 2 => UNS * INC # A9: 1,6 => UNS * INC # B9: 1,6 => UNS * INC # C8: 1,9 => UNS * INC # C8: 4,7 => UNS * INC # B9: 1,9 => UNS * INC # C9: 1,9 => UNS * CNT 16 HDP CHAINS / 16 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # G1: 1,5 => UNS * INC # G1: 4,6,7 => UNS * INC # G2: 1,5 => UNS * INC # G2: 2,7 => UNS * INC # B9: 8,9 => UNS * INC # B9: 1,4,6,7 => UNS * INC # C9: 8,9 => UNS * INC # C9: 1,4,7 => UNS * INC # D2: 3,7 => UNS * INC # D2: 2 => UNS * INC # A9: 1,6 => UNS * INC # B9: 1,6 => UNS * INC # C8: 1,9 => UNS * INC # C8: 4,7 => UNS * INC # B9: 1,9 => UNS * INC # C9: 1,9 => UNS * CNT 16 HDP CHAINS / 16 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # G1: 1,5 => UNS * INC # G1: 4,6,7 => UNS * INC # G2: 1,5 => UNS * INC # G2: 2,7 => UNS * INC # B9: 8,9 => UNS * INC # B9: 1,4,6,7 => UNS * INC # C9: 8,9 => UNS * INC # C9: 1,4,7 => UNS * INC # D2: 3,7 => UNS * INC # D2: 2 => UNS * INC # A9: 1,6 => UNS * INC # B9: 1,6 => UNS * INC # C8: 1,9 => UNS * INC # C8: 4,7 => UNS * INC # B9: 1,9 => UNS * INC # C9: 1,9 => UNS * INC # G1: 1,5 # G2: 1,5 => UNS * INC # G1: 1,5 # G2: 2,7 => UNS * INC # G1: 1,5 # B9: 8,9 => UNS * INC # G1: 1,5 # B9: 1,4,6,7 => UNS * INC # G1: 1,5 # C9: 8,9 => UNS * INC # G1: 1,5 # C9: 1,4,7 => UNS * INC # G1: 1,5 # G2: 1,5 => UNS * INC # G1: 1,5 # G2: 2,7 => UNS * INC # G1: 1,5 # A9: 1,6 => UNS * INC # G1: 1,5 # B9: 1,6 => UNS * INC # G1: 1,5 # C8: 1,9 => UNS * INC # G1: 1,5 # C8: 4,7 => UNS * INC # G1: 1,5 # B9: 1,9 => UNS * INC # G1: 1,5 # C9: 1,9 => UNS * INC # G1: 1,5 => UNS * INC # G1: 4,6,7 # D2: 3,7 => UNS * DIS # G1: 4,6,7 # D2: 2 => CTR => D2: 3,7 * INC # G1: 4,6,7 + D2: 3,7 # B9: 4,7 => UNS * INC # G1: 4,6,7 + D2: 3,7 # C9: 4,7 => UNS * DIS # G1: 4,6,7 + D2: 3,7 # D7: 4,7 => CTR => D7: 3,6 * DIS # G1: 4,6,7 + D2: 3,7 + D7: 3,6 # E7: 4,7 => CTR => E7: 3,6 * INC # G1: 4,6,7 + D2: 3,7 + D7: 3,6 + E7: 3,6 # B4: 4,7 => UNS * PRF # G1: 4,6,7 + D2: 3,7 + D7: 3,6 + E7: 3,6 # B5: 4,7 => SOL * STA # G1: 4,6,7 + D2: 3,7 + D7: 3,6 + E7: 3,6 + B5: 4,7 * CNT 39 HDP CHAINS / 40 HYP OPENED