Analysis of xx-ph-00027334-KC40b-base.sdk
Contents
Original Sudoku
level: hard
position: 98.76....7..54......4..97..5......3..2......8..94..5..1..9...2...6.5.4..........3 initial
Autosolve
position: 98.76....7..54......4..97..5......3..2...5..8..94..5..1..9...2...6.5.4..........3 autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:28.284369
The following important HDP chains were detected:
* DIS # G9: 6,8 # H5: 1,9 => CTR => H5: 4,6,7 * DIS # H9: 6,8 # F7: 6,8 => CTR => F7: 3,4,7 * DIS # H9: 6,8 + F7: 3,4,7 # D3: 1,2 => CTR => D3: 3,8 * PRF # H9: 6,8 + F7: 3,4,7 + D3: 3,8 # C1: 1,2 => SOL * STA # H9: 6,8 + F7: 3,4,7 + D3: 3,8 + C1: 1,2 * CNT 4 HDP CHAINS / 50 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 98.76....7..54......4..97..5......3..2......8..94..5..1..9...2...6.5.4..........3 | initial |
| 98.76....7..54......4..97..5......3..2...5..8..94..5..1..9...2...6.5.4..........3 | autosolve |
| 982761354713542869654389712541897236327615948869423571178934625236158497495276183 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (1) G7: 6,8 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) G1,G2: 3.. / G1 = 3 => 2 pairs (_) / G2 = 3 => 4 pairs (_) H1,I1: 4.. / H1 = 4 => 2 pairs (_) / I1 = 4 => 3 pairs (_) B4,A5: 4.. / B4 = 4 => 3 pairs (_) / A5 = 4 => 2 pairs (_) I4,H5: 4.. / I4 = 4 => 2 pairs (_) / H5 = 4 => 3 pairs (_) F7,F9: 4.. / F7 = 4 => 1 pairs (_) / F9 = 4 => 2 pairs (_) B4,I4: 4.. / B4 = 4 => 3 pairs (_) / I4 = 4 => 2 pairs (_) A5,H5: 4.. / A5 = 4 => 2 pairs (_) / H5 = 4 => 3 pairs (_) B7,F7: 4.. / B7 = 4 => 2 pairs (_) / F7 = 4 => 1 pairs (_) A5,A9: 4.. / A5 = 4 => 2 pairs (_) / A9 = 4 => 3 pairs (_) H1,H5: 4.. / H1 = 4 => 2 pairs (_) / H5 = 4 => 3 pairs (_) I1,I4: 4.. / I1 = 4 => 3 pairs (_) / I4 = 4 => 2 pairs (_) C1,B3: 5.. / C1 = 5 => 2 pairs (_) / B3 = 5 => 3 pairs (_) I7,H9: 5.. / I7 = 5 => 1 pairs (_) / H9 = 5 => 3 pairs (_) C4,A6: 8.. / C4 = 8 => 2 pairs (_) / A6 = 8 => 4 pairs (_) E4,E5: 9.. / E4 = 9 => 1 pairs (_) / E5 = 9 => 2 pairs (_) B8,B9: 9.. / B8 = 9 => 2 pairs (_) / B9 = 9 => 2 pairs (_) * DURATION: 0:00:10.068128 START: 10:26:50.933482 END: 10:27:01.001610 2020-12-09 * CP COUNT: (16) * INCONCLUSIVE * DEEP PAIR REDUCTION * DURATION: 0:00:28.130482 START: 10:27:05.766888 END: 10:27:33.897370 2020-12-09 * SOLUTION FOUND * SAVE PR GRAPH xx-ph-00027334-KC40b-base-pr-002.dot * REASONING * DIS # G9: 6,8 # H5: 1,9 => CTR => H5: 4,6,7 * DIS # H9: 6,8 # F7: 6,8 => CTR => F7: 3,4,7 * DIS # H9: 6,8 + F7: 3,4,7 # D3: 1,2 => CTR => D3: 3,8 * PRF # H9: 6,8 + F7: 3,4,7 + D3: 3,8 # C1: 1,2 => SOL * STA # H9: 6,8 + F7: 3,4,7 + D3: 3,8 + C1: 1,2 * CNT 4 HDP CHAINS / 50 HYP OPENED
Header Info
27334;KC40b;GP;24;11.30;1.20;1.20
Solution
position: 982761354713542869654389712541897236327615948869423571178934625236158497495276183 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 # G9: 6,8 => UNS * INC # H9: 6,8 => UNS * INC # F7: 6,8 => UNS * INC # F7: 3,4,7 => UNS * INC # G2: 6,8 => UNS * INC # G2: 1,2,3,9 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # G9: 6,8 => UNS * INC # H9: 6,8 => UNS * INC # F7: 6,8 => UNS * INC # F7: 3,4,7 => UNS * INC # G2: 6,8 => UNS * INC # G2: 1,2,3,9 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # G9: 6,8 => UNS * INC # H9: 6,8 => UNS * INC # F7: 6,8 => UNS * INC # F7: 3,4,7 => UNS * INC # G2: 6,8 => UNS * INC # G2: 1,2,3,9 => UNS * INC # G9: 6,8 # G4: 1,9 => UNS * INC # G9: 6,8 # I4: 1,9 => UNS * DIS # G9: 6,8 # H5: 1,9 => CTR => H5: 4,6,7 * INC # G9: 6,8 + H5: 4,6,7 # E5: 1,9 => UNS * INC # G9: 6,8 + H5: 4,6,7 # E5: 3,7 => UNS * INC # G9: 6,8 + H5: 4,6,7 # G2: 1,9 => UNS * INC # G9: 6,8 + H5: 4,6,7 # G2: 2,3 => UNS * INC # G9: 6,8 + H5: 4,6,7 # G4: 1,9 => UNS * INC # G9: 6,8 + H5: 4,6,7 # I4: 1,9 => UNS * INC # G9: 6,8 + H5: 4,6,7 # E5: 1,9 => UNS * INC # G9: 6,8 + H5: 4,6,7 # E5: 3,7 => UNS * INC # G9: 6,8 + H5: 4,6,7 # G2: 1,9 => UNS * INC # G9: 6,8 + H5: 4,6,7 # G2: 2,3 => UNS * INC # G9: 6,8 + H5: 4,6,7 # F7: 6,8 => UNS * INC # G9: 6,8 + H5: 4,6,7 # F7: 3,4,7 => UNS * INC # G9: 6,8 + H5: 4,6,7 # H9: 5,7 => UNS * INC # G9: 6,8 + H5: 4,6,7 # H9: 1,9 => UNS * INC # G9: 6,8 + H5: 4,6,7 # B7: 5,7 => UNS * INC # G9: 6,8 + H5: 4,6,7 # C7: 5,7 => UNS * INC # G9: 6,8 + H5: 4,6,7 # D9: 6,8 => UNS * INC # G9: 6,8 + H5: 4,6,7 # F9: 6,8 => UNS * INC # G9: 6,8 + H5: 4,6,7 # G4: 1,9 => UNS * INC # G9: 6,8 + H5: 4,6,7 # I4: 1,9 => UNS * INC # G9: 6,8 + H5: 4,6,7 # E5: 1,9 => UNS * INC # G9: 6,8 + H5: 4,6,7 # E5: 3,7 => UNS * INC # G9: 6,8 + H5: 4,6,7 # G2: 1,9 => UNS * INC # G9: 6,8 + H5: 4,6,7 # G2: 2,3 => UNS * INC # G9: 6,8 + H5: 4,6,7 # F7: 6,8 => UNS * INC # G9: 6,8 + H5: 4,6,7 # F7: 3,4,7 => UNS * INC # G9: 6,8 + H5: 4,6,7 # H9: 5,7 => UNS * INC # G9: 6,8 + H5: 4,6,7 # H9: 1,9 => UNS * INC # G9: 6,8 + H5: 4,6,7 # B7: 5,7 => UNS * INC # G9: 6,8 + H5: 4,6,7 # C7: 5,7 => UNS * INC # G9: 6,8 + H5: 4,6,7 # D9: 6,8 => UNS * INC # G9: 6,8 + H5: 4,6,7 # F9: 6,8 => UNS * INC # G9: 6,8 + H5: 4,6,7 => UNS * DIS # H9: 6,8 # F7: 6,8 => CTR => F7: 3,4,7 * INC # H9: 6,8 + F7: 3,4,7 # H8: 1,9 => UNS * INC # H9: 6,8 + F7: 3,4,7 # I8: 1,9 => UNS * INC # H9: 6,8 + F7: 3,4,7 # F2: 1,2 => UNS * DIS # H9: 6,8 + F7: 3,4,7 # D3: 1,2 => CTR => D3: 3,8 * INC # H9: 6,8 + F7: 3,4,7 + D3: 3,8 # E3: 1,2 => UNS * PRF # H9: 6,8 + F7: 3,4,7 + D3: 3,8 # C1: 1,2 => SOL * STA # H9: 6,8 + F7: 3,4,7 + D3: 3,8 + C1: 1,2 * CNT 49 HDP CHAINS / 50 HYP OPENED