Analysis of xx-ph-00017539-Kz1_b-base.sdk
Contents
Original Sudoku
level: hard
position: 98.7..6..75.....9...4.9...75...4...8...3..........2.1..7..8...9...1..3.......6.2. initial
Autosolve
position: 98.7..6..75.....9...4.9...75...4...8...3..........2.1..7..8...9...1..3.......6.2. autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:34.256047
The following important HDP chains were detected:
* DIS # D6: 6,9 # B4: 6,9 => CTR => B4: 1,2,3 * DIS # D6: 6,9 + B4: 1,2,3 # C6: 6,9 => CTR => C6: 3,7,8 * DIS # D6: 6,9 + B4: 1,2,3 + C6: 3,7,8 # D7: 4,5 => CTR => D7: 2 * DIS # D6: 6,9 + B4: 1,2,3 + C6: 3,7,8 + D7: 2 # I9: 1 => CTR => I9: 4,5 * DIS # D6: 6,9 + B4: 1,2,3 + C6: 3,7,8 + D7: 2 + I9: 4,5 # C2: 1,3 => CTR => C2: 2 * PRF # D6: 6,9 + B4: 1,2,3 + C6: 3,7,8 + D7: 2 + I9: 4,5 + C2: 2 => SOL * STA D6: 6,9 * CNT 6 HDP CHAINS / 31 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 98.7..6..75.....9...4.9...75...4...8...3..........2.1..7..8...9...1..3.......6.2. | initial |
| 98.7..6..75.....9...4.9...75...4...8...3..........2.1..7..8...9...1..3.......6.2. | autosolve |
| 983725641752461893614893257521647938469318572837952416375284169246179385198536724 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (3) D4: 6,9 H8: 7,8 G9: 7,8 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) G7,I9: 1.. / G7 = 1 => 4 pairs (_) / I9 = 1 => 4 pairs (_) D7,E8: 2.. / D7 = 2 => 4 pairs (_) / E8 = 2 => 4 pairs (_) H4,I6: 3.. / H4 = 3 => 5 pairs (_) / I6 = 3 => 4 pairs (_) F7,E9: 3.. / F7 = 3 => 4 pairs (_) / E9 = 3 => 4 pairs (_) H7,I8: 6.. / H7 = 6 => 5 pairs (_) / I8 = 6 => 4 pairs (_) H8,G9: 7.. / H8 = 7 => 6 pairs (_) / G9 = 7 => 4 pairs (_) E9,G9: 7.. / E9 = 7 => 6 pairs (_) / G9 = 7 => 4 pairs (_) F5,D6: 8.. / F5 = 8 => 5 pairs (_) / D6 = 8 => 3 pairs (_) H8,G9: 8.. / H8 = 8 => 4 pairs (_) / G9 = 8 => 6 pairs (_) H3,H8: 8.. / H3 = 8 => 6 pairs (_) / H8 = 8 => 4 pairs (_) F8,D9: 9.. / F8 = 9 => 6 pairs (_) / D9 = 9 => 5 pairs (_) * DURATION: 0:00:07.769973 START: 12:25:18.447421 END: 12:25:26.217394 2020-12-05 * CP COUNT: (11) * INCONCLUSIVE * DEEP PAIR REDUCTION * DURATION: 0:00:34.099175 START: 12:25:30.218349 END: 12:26:04.317524 2020-12-05 * SOLUTION FOUND * SAVE PR GRAPH xx-ph-00017539-Kz1_b-base-pr-002.dot * REASONING * DIS # D6: 6,9 # B4: 6,9 => CTR => B4: 1,2,3 * DIS # D6: 6,9 + B4: 1,2,3 # C6: 6,9 => CTR => C6: 3,7,8 * DIS # D6: 6,9 + B4: 1,2,3 + C6: 3,7,8 # D7: 4,5 => CTR => D7: 2 * DIS # D6: 6,9 + B4: 1,2,3 + C6: 3,7,8 + D7: 2 # I9: 1 => CTR => I9: 4,5 * DIS # D6: 6,9 + B4: 1,2,3 + C6: 3,7,8 + D7: 2 + I9: 4,5 # C2: 1,3 => CTR => C2: 2 * PRF # D6: 6,9 + B4: 1,2,3 + C6: 3,7,8 + D7: 2 + I9: 4,5 + C2: 2 => SOL * STA D6: 6,9 * CNT 6 HDP CHAINS / 31 HYP OPENED
Header Info
17539;Kz1 b;GP;23;11.30;11.30;3.40
Solution
position: 983725641752461893614893257521647938469318572837952416375284169246179385198536724 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 # D6: 6,9 => UNS * INC # D6: 5,8 => UNS * INC # B4: 6,9 => UNS * INC # C4: 6,9 => UNS * CNT 4 HDP CHAINS / 4 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # D6: 6,9 => UNS * INC # D6: 5,8 => UNS * INC # B4: 6,9 => UNS * INC # C4: 6,9 => UNS * CNT 4 HDP CHAINS / 4 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # D6: 6,9 => UNS * INC # D6: 5,8 => UNS * INC # B4: 6,9 => UNS * INC # C4: 6,9 => UNS * INC # D6: 6,9 # C1: 2,3 => UNS * INC # D6: 6,9 # I1: 2,3 => UNS * DIS # D6: 6,9 # B4: 6,9 => CTR => B4: 1,2,3 * INC # D6: 6,9 + B4: 1,2,3 # C4: 6,9 => UNS * INC # D6: 6,9 + B4: 1,2,3 # C4: 6,9 => UNS * INC # D6: 6,9 + B4: 1,2,3 # C4: 1,2,3 => UNS * INC # D6: 6,9 + B4: 1,2,3 # C4: 6,9 => UNS * INC # D6: 6,9 + B4: 1,2,3 # C4: 1,2,3 => UNS * INC # D6: 6,9 + B4: 1,2,3 # B6: 6,9 => UNS * DIS # D6: 6,9 + B4: 1,2,3 # C6: 6,9 => CTR => C6: 3,7,8 * INC # D6: 6,9 + B4: 1,2,3 + C6: 3,7,8 # B6: 6,9 => UNS * INC # D6: 6,9 + B4: 1,2,3 + C6: 3,7,8 # B6: 3,4 => UNS * INC # D6: 6,9 + B4: 1,2,3 + C6: 3,7,8 # B6: 6,9 => UNS * INC # D6: 6,9 + B4: 1,2,3 + C6: 3,7,8 # B6: 3,4 => UNS * INC # D6: 6,9 + B4: 1,2,3 + C6: 3,7,8 # G5: 2,9 => UNS * INC # D6: 6,9 + B4: 1,2,3 + C6: 3,7,8 # G5: 4,5,7 => UNS * INC # D6: 6,9 + B4: 1,2,3 + C6: 3,7,8 # C4: 2,9 => UNS * INC # D6: 6,9 + B4: 1,2,3 + C6: 3,7,8 # C4: 1,3,6 => UNS * INC # D6: 6,9 + B4: 1,2,3 + C6: 3,7,8 # I6: 3,6 => UNS * INC # D6: 6,9 + B4: 1,2,3 + C6: 3,7,8 # I6: 4 => UNS * INC # D6: 6,9 + B4: 1,2,3 + C6: 3,7,8 # C4: 3,6 => UNS * INC # D6: 6,9 + B4: 1,2,3 + C6: 3,7,8 # C4: 1,2,9 => UNS * DIS # D6: 6,9 + B4: 1,2,3 + C6: 3,7,8 # D7: 4,5 => CTR => D7: 2 * INC # D6: 6,9 + B4: 1,2,3 + C6: 3,7,8 + D7: 2 # I9: 4,5 => UNS * DIS # D6: 6,9 + B4: 1,2,3 + C6: 3,7,8 + D7: 2 # I9: 1 => CTR => I9: 4,5 * DIS # D6: 6,9 + B4: 1,2,3 + C6: 3,7,8 + D7: 2 + I9: 4,5 # C2: 1,3 => CTR => C2: 2 * PRF # D6: 6,9 + B4: 1,2,3 + C6: 3,7,8 + D7: 2 + I9: 4,5 + C2: 2 => SOL * STA D6: 6,9 * CNT 31 HDP CHAINS / 31 HYP OPENED