Analysis of xx-ph-00020804-KZ1C-base.sdk
Contents
Original Sudoku
level: hard
position: 98.7..6..5...8......7..6...49.....3...8.9.5.......4....2...3.1...6.7.9.....1....2 initial
Autosolve
position: 98.7..6..56..8......7..6...49.....3...8.9.5.......4....2...3.1...6.7.9.....1....2 autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:35.932449
The following important HDP chains were detected:
* DIS # I7: 7,8 # D8: 4 => CTR => D8: 2,8 * DIS # I7: 7,8 + D8: 2,8 # C2: 2,3 => CTR => C2: 1,4 * DIS # I7: 7,8 + D8: 2,8 + C2: 1,4 # C1: 1,4 => CTR => C1: 2,3 * DIS # I7: 7,8 + D8: 2,8 + C2: 1,4 + C1: 2,3 # E3: 2,3 => CTR => E3: 5 * PRF # I7: 7,8 + D8: 2,8 + C2: 1,4 + C1: 2,3 + E3: 5 => SOL * STA I7: 7,8 * CNT 5 HDP CHAINS / 52 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 98.7..6..5...8......7..6...49.....3...8.9.5.......4....2...3.1...6.7.9.....1....2 | initial |
| 98.7..6..56..8......7..6...49.....3...8.9.5.......4....2...3.1...6.7.9.....1....2 | autosolve |
| 983712645564389271217456389491527836378691524652834197725963418146278953839145762 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (1) A7: 7,8 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) A8,B8: 1.. / A8 = 1 => 2 pairs (_) / B8 = 1 => 6 pairs (_) D8,F8: 2.. / D8 = 2 => 3 pairs (_) / F8 = 2 => 4 pairs (_) I8,G9: 3.. / I8 = 3 => 2 pairs (_) / G9 = 3 => 5 pairs (_) H5,I5: 4.. / H5 = 4 => 3 pairs (_) / I5 = 4 => 1 pairs (_) A5,A6: 6.. / A5 = 6 => 2 pairs (_) / A6 = 6 => 1 pairs (_) I7,H9: 6.. / I7 = 6 => 3 pairs (_) / H9 = 6 => 2 pairs (_) E9,H9: 6.. / E9 = 6 => 3 pairs (_) / H9 = 6 => 2 pairs (_) F4,F5: 7.. / F4 = 7 => 2 pairs (_) / F5 = 7 => 2 pairs (_) H6,I6: 9.. / H6 = 9 => 1 pairs (_) / I6 = 9 => 1 pairs (_) C7,C9: 9.. / C7 = 9 => 2 pairs (_) / C9 = 9 => 3 pairs (_) D7,F9: 9.. / D7 = 9 => 3 pairs (_) / F9 = 9 => 2 pairs (_) C7,D7: 9.. / C7 = 9 => 2 pairs (_) / D7 = 9 => 3 pairs (_) C9,F9: 9.. / C9 = 9 => 3 pairs (_) / F9 = 9 => 2 pairs (_) F2,F9: 9.. / F2 = 9 => 3 pairs (_) / F9 = 9 => 2 pairs (_) * DURATION: 0:00:08.054128 START: 08:47:16.865151 END: 08:47:24.919279 2020-12-07 * CP COUNT: (14) * INCONCLUSIVE * DEEP PAIR REDUCTION * DURATION: 0:00:35.593470 START: 08:47:28.061456 END: 08:48:03.654926 2020-12-07 * SOLUTION FOUND * SAVE PR GRAPH xx-ph-00020804-KZ1C-base-pr-002.dot * REASONING * DIS # I7: 7,8 # D8: 4 => CTR => D8: 2,8 * DIS # I7: 7,8 + D8: 2,8 # C2: 2,3 => CTR => C2: 1,4 * DIS # I7: 7,8 + D8: 2,8 + C2: 1,4 # C1: 1,4 => CTR => C1: 2,3 * DIS # I7: 7,8 + D8: 2,8 + C2: 1,4 + C1: 2,3 # E3: 2,3 => CTR => E3: 5 * PRF # I7: 7,8 + D8: 2,8 + C2: 1,4 + C1: 2,3 + E3: 5 => SOL * STA I7: 7,8 * CNT 5 HDP CHAINS / 52 HYP OPENED
Header Info
20804;KZ1C;GP;23;11.30;1.20;1.20
Solution
position: 983712645564389271217456389491527836378691524652834197725963418146278953839145762 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 # A9: 7,8 => UNS * INC # A9: 3 => UNS * INC # G7: 7,8 => UNS * INC # I7: 7,8 => UNS * CNT 4 HDP CHAINS / 4 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # A9: 7,8 => UNS * INC # A9: 3 => UNS * INC # G7: 7,8 => UNS * INC # I7: 7,8 => UNS * CNT 4 HDP CHAINS / 4 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # A9: 7,8 => UNS * INC # A9: 3 => UNS * INC # G7: 7,8 => UNS * INC # I7: 7,8 => UNS * INC # A9: 7,8 # G7: 7,8 => UNS * INC # A9: 7,8 # I7: 7,8 => UNS * INC # A9: 7,8 # B8: 1,3 => UNS * INC # A9: 7,8 # B8: 4,5 => UNS * INC # A9: 7,8 # A3: 1,3 => UNS * INC # A9: 7,8 # A5: 1,3 => UNS * INC # A9: 7,8 # A6: 1,3 => UNS * INC # A9: 7,8 # G9: 7,8 => UNS * INC # A9: 7,8 # H9: 7,8 => UNS * INC # A9: 7,8 => UNS * INC # A9: 3 # C1: 1,2 => UNS * INC # A9: 3 # C2: 1,2 => UNS * INC # A9: 3 # E3: 1,2 => UNS * INC # A9: 3 # G3: 1,2 => UNS * INC # A9: 3 # A5: 1,2 => UNS * INC # A9: 3 # A6: 1,2 => UNS * INC # A9: 3 # G7: 7,8 => UNS * INC # A9: 3 # I7: 7,8 => UNS * INC # A9: 3 => UNS * INC # G7: 7,8 # A9: 7,8 => UNS * INC # G7: 7,8 # A9: 3 => UNS * INC # G7: 7,8 # G9: 7,8 => UNS * INC # G7: 7,8 # H9: 7,8 => UNS * INC # G7: 7,8 # G4: 7,8 => UNS * INC # G7: 7,8 # G6: 7,8 => UNS * INC # G7: 7,8 => UNS * INC # I7: 7,8 # A9: 7,8 => UNS * INC # I7: 7,8 # A9: 3 => UNS * INC # I7: 7,8 # C9: 5,9 => UNS * INC # I7: 7,8 # C9: 3,4 => UNS * INC # I7: 7,8 # D7: 5,9 => UNS * INC # I7: 7,8 # D7: 6 => UNS * INC # I7: 7,8 # D7: 5,6 => UNS * INC # I7: 7,8 # D7: 9 => UNS * INC # I7: 7,8 # E4: 5,6 => UNS * INC # I7: 7,8 # E6: 5,6 => UNS * INC # I7: 7,8 # D8: 2,8 => UNS * DIS # I7: 7,8 # D8: 4 => CTR => D8: 2,8 * INC # I7: 7,8 + D8: 2,8 # F4: 2,8 => UNS * INC # I7: 7,8 + D8: 2,8 # F4: 1,5,7 => UNS * INC # I7: 7,8 + D8: 2,8 # I4: 7,8 => UNS * INC # I7: 7,8 + D8: 2,8 # I6: 7,8 => UNS * INC # I7: 7,8 + D8: 2,8 # C1: 2,3 => UNS * DIS # I7: 7,8 + D8: 2,8 # C2: 2,3 => CTR => C2: 1,4 * INC # I7: 7,8 + D8: 2,8 + C2: 1,4 # C1: 2,3 => UNS * DIS # I7: 7,8 + D8: 2,8 + C2: 1,4 # C1: 1,4 => CTR => C1: 2,3 * DIS # I7: 7,8 + D8: 2,8 + C2: 1,4 + C1: 2,3 # E3: 2,3 => CTR => E3: 5 * PRF # I7: 7,8 + D8: 2,8 + C2: 1,4 + C1: 2,3 + E3: 5 => SOL * STA I7: 7,8 * CNT 52 HDP CHAINS / 52 HYP OPENED