Analysis of xx-ph-00018569-KZ1C-base.sdk
Contents
Original Sudoku
level: hard
position: 98.7.....6.....97...7.....5.4..3......98...5......21.9..86...9.....1...3.....42.. initial
Autosolve
position: 98.7.....6.....97...7.....5.4..3......98...5......21.9..86...9.....1...3.....42.. autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:25.408969
The following important HDP chains were detected:
* DIS # E6: 6,7 # F4: 6,7 => CTR => F4: 1,5,9 * DIS # D2: 4,5 # F4: 5,6,7 => CTR => F4: 1,9 * PRF # D2: 4,5 + F4: 1,9 # D3: 1,9 => SOL * STA # D2: 4,5 + F4: 1,9 + D3: 1,9 * CNT 3 HDP CHAINS / 45 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 98.7.....6.....97...7.....5.4..3......98...5......21.9..86...9.....1...3.....42.. | initial |
| 98.7.....6.....97...7.....5.4..3......98...5......21.9..86...9.....1...3.....42.. | autosolve |
| 982751634651483972437926815546139728219847356873562149328675491794218563165394287 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (1) D6: 4,5 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) E7,D8: 2.. / E7 = 2 => 2 pairs (_) / D8 = 2 => 2 pairs (_) G5,H6: 3.. / G5 = 3 => 2 pairs (_) / H6 = 3 => 3 pairs (_) F7,D9: 3.. / F7 = 3 => 2 pairs (_) / D9 = 3 => 2 pairs (_) G7,G8: 5.. / G7 = 5 => 3 pairs (_) / G8 = 5 => 3 pairs (_) A4,A6: 8.. / A4 = 8 => 9 pairs (_) / A6 = 8 => 1 pairs (_) F8,E9: 8.. / F8 = 8 => 2 pairs (_) / E9 = 8 => 2 pairs (_) A6,H6: 8.. / A6 = 8 => 1 pairs (_) / H6 = 8 => 9 pairs (_) D4,F4: 9.. / D4 = 9 => 7 pairs (_) / F4 = 9 => 2 pairs (_) B8,B9: 9.. / B8 = 9 => 2 pairs (_) / B9 = 9 => 2 pairs (_) E3,E9: 9.. / E3 = 9 => 1 pairs (_) / E9 = 9 => 6 pairs (_) * DURATION: 0:00:06.213684 START: 16:47:03.887731 END: 16:47:10.101415 2020-10-19 * CP COUNT: (10) * INCONCLUSIVE * DEEP PAIR REDUCTION * DURATION: 0:00:25.216700 START: 16:47:13.205359 END: 16:47:38.422059 2020-10-19 * SOLUTION FOUND * SAVE PR GRAPH xx-ph-00018569-KZ1C-base-pr-002.dot * REASONING * DIS # E6: 6,7 # F4: 6,7 => CTR => F4: 1,5,9 * DIS # D2: 4,5 # F4: 5,6,7 => CTR => F4: 1,9 * PRF # D2: 4,5 + F4: 1,9 # D3: 1,9 => SOL * STA # D2: 4,5 + F4: 1,9 + D3: 1,9 * CNT 3 HDP CHAINS / 45 HYP OPENED
Header Info
18569;KZ1C;GP;23;11.40;11.40;10.60
Solution
position: 982751634651483972437926815546139728219847356873562149328675491794218563165394287 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 # E6: 4,5 => UNS * INC # E6: 6,7 => UNS * INC # D2: 4,5 => UNS * INC # D2: 1,2,3 => UNS * CNT 4 HDP CHAINS / 4 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # E6: 4,5 => UNS * INC # E6: 6,7 => UNS * INC # D2: 4,5 => UNS * INC # D2: 1,2,3 => UNS * CNT 4 HDP CHAINS / 4 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # E6: 4,5 => UNS * INC # E6: 6,7 => UNS * INC # D2: 4,5 => UNS * INC # D2: 1,2,3 => UNS * INC # E6: 4,5 # B5: 3,6 => UNS * INC # E6: 4,5 # B6: 3,6 => UNS * INC # E6: 4,5 # H6: 3,6 => UNS * INC # E6: 4,5 # H6: 8 => UNS * INC # E6: 4,5 # C9: 3,6 => UNS * INC # E6: 4,5 # C9: 1,5 => UNS * INC # E6: 4,5 # F4: 1,9 => UNS * INC # E6: 4,5 # F4: 6,7 => UNS * INC # E6: 4,5 # D3: 1,9 => UNS * INC # E6: 4,5 # D3: 2,3,4 => UNS * INC # E6: 4,5 # F4: 6,7 => UNS * INC # E6: 4,5 # F5: 6,7 => UNS * INC # E6: 4,5 # G5: 6,7 => UNS * INC # E6: 4,5 # I5: 6,7 => UNS * INC # E6: 4,5 # D2: 4,5 => UNS * INC # E6: 4,5 # D2: 1,2,3 => UNS * INC # E6: 4,5 # E1: 4,5 => UNS * INC # E6: 4,5 # E2: 4,5 => UNS * INC # E6: 4,5 => UNS * INC # E6: 6,7 # D2: 4,5 => UNS * INC # E6: 6,7 # D2: 1,2,3 => UNS * DIS # E6: 6,7 # F4: 6,7 => CTR => F4: 1,5,9 * INC # E6: 6,7 + F4: 1,5,9 # E5: 6,7 => UNS * INC # E6: 6,7 + F4: 1,5,9 # F5: 6,7 => UNS * INC # E6: 6,7 + F4: 1,5,9 # B6: 6,7 => UNS * INC # E6: 6,7 + F4: 1,5,9 # B6: 3,5 => UNS * INC # E6: 6,7 + F4: 1,5,9 # D2: 4,5 => UNS * INC # E6: 6,7 + F4: 1,5,9 # D2: 1,2,3 => UNS * INC # E6: 6,7 + F4: 1,5,9 # E5: 6,7 => UNS * INC # E6: 6,7 + F4: 1,5,9 # F5: 6,7 => UNS * INC # E6: 6,7 + F4: 1,5,9 # B6: 6,7 => UNS * INC # E6: 6,7 + F4: 1,5,9 # B6: 3,5 => UNS * INC # E6: 6,7 + F4: 1,5,9 => UNS * INC # D2: 4,5 # E1: 4,5 => UNS * INC # D2: 4,5 # E2: 4,5 => UNS * INC # D2: 4,5 # C2: 4,5 => UNS * INC # D2: 4,5 # C2: 1,2,3 => UNS * INC # D2: 4,5 # F4: 1,9 => UNS * DIS # D2: 4,5 # F4: 5,6,7 => CTR => F4: 1,9 * PRF # D2: 4,5 + F4: 1,9 # D3: 1,9 => SOL * STA # D2: 4,5 + F4: 1,9 + D3: 1,9 * CNT 44 HDP CHAINS / 45 HYP OPENED