Analysis of xx-ph-00384380-12_12_03-base.sdk
Contents
Original Sudoku
level: hard
position: ........1.....2.....3.4..5........6...63.5..447..6...3..483..7...7.5..3..3....9.8 initial
Autosolve
position: .....3..1.....23....3.4..5.3......6...63.5..447..6...3..483..7...7.5..3..3....9.8 autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:28.865670
The following important HDP chains were detected:
* DIS # I7: 2,6 # H1: 4,8 => CTR => H1: 2 * DIS # I7: 2,6 + H1: 2 # G1: 6 => CTR => G1: 4,8 * DIS # I7: 2,6 + H1: 2 + G1: 4,8 # A2: 7,9 => CTR => A2: 1,6,8 * DIS # I7: 2,6 + H1: 2 + G1: 4,8 + A2: 1,6,8 # E2: 1,8 => CTR => E2: 7,9 * DIS # I7: 2,6 + H1: 2 + G1: 4,8 + A2: 1,6,8 + E2: 7,9 # A3: 7,9 => CTR => A3: 2,8 * PRF # I7: 2,6 + H1: 2 + G1: 4,8 + A2: 1,6,8 + E2: 7,9 + A3: 2,8 => SOL * STA I7: 2,6 * CNT 6 HDP CHAINS / 32 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| ........1.....2.....3.4..5........6...63.5..447..6...3..483..7...7.5..3..3....9.8 | initial |
| .....3..1.....23....3.4..5.3......6...63.5..447..6...3..483..7...7.5..3..3....9.8 | autosolve |
| 759683421641592387823147659398421765216375894475968213164839572987254136532716948 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (1) I8: 2,6 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) B1,B2: 4.. / B1 = 4 => 2 pairs (_) / B2 = 4 => 2 pairs (_) D4,F4: 4.. / D4 = 4 => 1 pairs (_) / F4 = 4 => 1 pairs (_) G8,H9: 4.. / G8 = 4 => 2 pairs (_) / H9 = 4 => 2 pairs (_) B2,H2: 4.. / B2 = 4 => 2 pairs (_) / H2 = 4 => 2 pairs (_) G1,G8: 4.. / G1 = 4 => 2 pairs (_) / G8 = 4 => 2 pairs (_) D1,D2: 5.. / D1 = 5 => 1 pairs (_) / D2 = 5 => 1 pairs (_) A9,C9: 5.. / A9 = 5 => 3 pairs (_) / C9 = 5 => 1 pairs (_) G7,I7: 5.. / G7 = 5 => 11 pairs (_) / I7 = 5 => 1 pairs (_) C6,G6: 5.. / C6 = 5 => 5 pairs (_) / G6 = 5 => 1 pairs (_) I4,I7: 5.. / I4 = 5 => 11 pairs (_) / I7 = 5 => 1 pairs (_) E5,G5: 7.. / E5 = 7 => 3 pairs (_) / G5 = 7 => 1 pairs (_) A8,B8: 8.. / A8 = 8 => 1 pairs (_) / B8 = 8 => 1 pairs (_) * DURATION: 0:00:09.357186 START: 22:34:45.780610 END: 22:34:55.137796 2020-10-28 * CP COUNT: (12) * INCONCLUSIVE * DEEP PAIR REDUCTION * DURATION: 0:00:28.697097 START: 22:35:03.282439 END: 22:35:31.979536 2020-10-28 * SOLUTION FOUND * SAVE PR GRAPH xx-ph-00384380-12_12_03-base-pr-002.dot * REASONING * DIS # I7: 2,6 # H1: 4,8 => CTR => H1: 2 * DIS # I7: 2,6 + H1: 2 # G1: 6 => CTR => G1: 4,8 * DIS # I7: 2,6 + H1: 2 + G1: 4,8 # A2: 7,9 => CTR => A2: 1,6,8 * DIS # I7: 2,6 + H1: 2 + G1: 4,8 + A2: 1,6,8 # E2: 1,8 => CTR => E2: 7,9 * DIS # I7: 2,6 + H1: 2 + G1: 4,8 + A2: 1,6,8 + E2: 7,9 # A3: 7,9 => CTR => A3: 2,8 * PRF # I7: 2,6 + H1: 2 + G1: 4,8 + A2: 1,6,8 + E2: 7,9 + A3: 2,8 => SOL * STA I7: 2,6 * CNT 6 HDP CHAINS / 32 HYP OPENED
Header Info
384380;12_12_03;dob;24;11.40;1.20;1.20
Solution
position: 759683421641592387823147659398421765216375894475968213164839572987254136532716948 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 # G7: 2,6 => UNS * INC # I7: 2,6 => UNS * INC # G8: 2,6 => UNS * INC # A8: 2,6 => UNS * INC # B8: 2,6 => UNS * INC # D8: 2,6 => UNS * INC # I3: 2,6 => UNS * INC # I3: 7,9 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # G7: 2,6 => UNS * INC # I7: 2,6 => UNS * INC # G8: 2,6 => UNS * INC # A8: 2,6 => UNS * INC # B8: 2,6 => UNS * INC # D8: 2,6 => UNS * INC # I3: 2,6 => UNS * INC # I3: 7,9 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # G7: 2,6 => UNS * INC # I7: 2,6 => UNS * INC # G8: 2,6 => UNS * INC # A8: 2,6 => UNS * INC # B8: 2,6 => UNS * INC # D8: 2,6 => UNS * INC # I3: 2,6 => UNS * INC # I3: 7,9 => UNS * INC # G7: 2,6 # A7: 2,6 => UNS * INC # G7: 2,6 # B7: 2,6 => UNS * INC # G7: 2,6 # G1: 2,6 => UNS * INC # G7: 2,6 # G3: 2,6 => UNS * INC # G7: 2,6 # D8: 1,4 => UNS * INC # G7: 2,6 # F8: 1,4 => UNS * INC # G7: 2,6 # A8: 2,6 => UNS * INC # G7: 2,6 # B8: 2,6 => UNS * INC # G7: 2,6 # D8: 2,6 => UNS * INC # G7: 2,6 # I3: 2,6 => UNS * INC # G7: 2,6 # I3: 7,9 => UNS * INC # G7: 2,6 # D9: 1,4 => UNS * INC # G7: 2,6 # F9: 1,4 => UNS * INC # G7: 2,6 => UNS * INC # I7: 2,6 # G1: 4,8 => UNS * DIS # I7: 2,6 # H1: 4,8 => CTR => H1: 2 * INC # I7: 2,6 + H1: 2 # G1: 4,8 => UNS * DIS # I7: 2,6 + H1: 2 # G1: 6 => CTR => G1: 4,8 * DIS # I7: 2,6 + H1: 2 + G1: 4,8 # A2: 7,9 => CTR => A2: 1,6,8 * INC # I7: 2,6 + H1: 2 + G1: 4,8 + A2: 1,6,8 # E2: 7,9 => UNS * INC # I7: 2,6 + H1: 2 + G1: 4,8 + A2: 1,6,8 # E2: 7,9 => UNS * DIS # I7: 2,6 + H1: 2 + G1: 4,8 + A2: 1,6,8 # E2: 1,8 => CTR => E2: 7,9 * DIS # I7: 2,6 + H1: 2 + G1: 4,8 + A2: 1,6,8 + E2: 7,9 # A3: 7,9 => CTR => A3: 2,8 * PRF # I7: 2,6 + H1: 2 + G1: 4,8 + A2: 1,6,8 + E2: 7,9 + A3: 2,8 => SOL * STA I7: 2,6 * CNT 32 HDP CHAINS / 32 HYP OPENED