Analysis of xx-ph-00976030-13_03-base.sdk
Contents
Original Sudoku
level: hard
position: 98.76....75....6....6......8...4..3.6....2..1..79..2....85..9......1..4......3..2 initial
Autosolve
position: 98.76....75....6....6......8...4..3.6....2..1..79..2....85..9......1..4......3..2 autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:26.704265
The following important HDP chains were detected:
* DIS # F4: 1,6 # E6: 3 => CTR => E6: 5,8 * DIS # F4: 1,6 + E6: 5,8 # G3: 5,7 => CTR => G3: 1,3,4,8 * DIS # F4: 1,6 + E6: 5,8 + G3: 1,3,4,8 # G8: 5,7 => CTR => G8: 3,8 * PRF # F4: 1,6 + E6: 5,8 + G3: 1,3,4,8 + G8: 3,8 # G9: 5,7 => SOL * STA # F4: 1,6 + E6: 5,8 + G3: 1,3,4,8 + G8: 3,8 + G9: 5,7 * CNT 4 HDP CHAINS / 34 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 98.76....75....6....6......8...4..3.6....2..1..79..2....85..9......1..4......3..2 | initial |
| 98.76....75....6....6......8...4..3.6....2..1..79..2....85..9......1..4......3..2 | autosolve |
| 983761425751294683246835197825146739694372851317958264438527916572619348169483572 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (4) D4: 1,6 D5: 3,8 G4: 5,7 E7: 2,7 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) B4,C4: 2.. / B4 = 2 => 4 pairs (_) / C4 = 2 => 5 pairs (_) E7,D8: 2.. / E7 = 2 => 4 pairs (_) / D8 = 2 => 10 pairs (_) C1,H1: 2.. / C1 = 2 => 5 pairs (_) / H1 = 2 => 4 pairs (_) G5,I6: 4.. / G5 = 4 => 5 pairs (_) / I6 = 4 => 6 pairs (_) F7,D9: 4.. / F7 = 4 => 6 pairs (_) / D9 = 4 => 6 pairs (_) F4,E5: 7.. / F4 = 7 => 7 pairs (_) / E5 = 7 => 5 pairs (_) I4,H5: 9.. / I4 = 9 => 5 pairs (_) / H5 = 9 => 7 pairs (_) F8,E9: 9.. / F8 = 9 => 5 pairs (_) / E9 = 9 => 4 pairs (_) * DURATION: 0:00:04.944588 START: 23:29:01.628664 END: 23:29:06.573252 2021-01-05 * CP COUNT: (8) * INCONCLUSIVE * DEEP PAIR REDUCTION * DURATION: 0:00:26.498728 START: 23:29:19.031054 END: 23:29:45.529782 2021-01-05 * SOLUTION FOUND * SAVE PR GRAPH xx-ph-00976030-13_03-base-pr-002.dot * REASONING * DIS # F4: 1,6 # E6: 3 => CTR => E6: 5,8 * DIS # F4: 1,6 + E6: 5,8 # G3: 5,7 => CTR => G3: 1,3,4,8 * DIS # F4: 1,6 + E6: 5,8 + G3: 1,3,4,8 # G8: 5,7 => CTR => G8: 3,8 * PRF # F4: 1,6 + E6: 5,8 + G3: 1,3,4,8 + G8: 3,8 # G9: 5,7 => SOL * STA # F4: 1,6 + E6: 5,8 + G3: 1,3,4,8 + G8: 3,8 + G9: 5,7 * CNT 4 HDP CHAINS / 34 HYP OPENED
Header Info
976030;13_03;GP;24;11.30;11.30;9.50
Solution
position: 983761425751294683246835197825146739694372851317958264438527916572619348169483572 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 # F4: 1,6 => UNS * INC # F6: 1,6 => UNS * INC # E5: 3,8 => UNS * INC # E6: 3,8 => UNS * INC # D2: 3,8 => UNS * INC # D3: 3,8 => UNS * INC # I4: 5,7 => UNS * INC # G5: 5,7 => UNS * INC # H5: 5,7 => UNS * INC # F4: 5,7 => UNS * INC # F4: 1,6 => UNS * INC # G3: 5,7 => UNS * INC # G8: 5,7 => UNS * INC # G9: 5,7 => UNS * INC # B7: 2,7 => UNS * INC # B7: 1,3,4,6 => UNS * CNT 16 HDP CHAINS / 16 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # F4: 1,6 => UNS * INC # F6: 1,6 => UNS * INC # E5: 3,8 => UNS * INC # E6: 3,8 => UNS * INC # D2: 3,8 => UNS * INC # D3: 3,8 => UNS * INC # I4: 5,7 => UNS * INC # G5: 5,7 => UNS * INC # H5: 5,7 => UNS * INC # F4: 5,7 => UNS * INC # F4: 1,6 => UNS * INC # G3: 5,7 => UNS * INC # G8: 5,7 => UNS * INC # G9: 5,7 => UNS * INC # B7: 2,7 => UNS * INC # B7: 1,3,4,6 => UNS * CNT 16 HDP CHAINS / 16 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # F4: 1,6 => UNS * INC # F6: 1,6 => UNS * INC # E5: 3,8 => UNS * INC # E6: 3,8 => UNS * INC # D2: 3,8 => UNS * INC # D3: 3,8 => UNS * INC # I4: 5,7 => UNS * INC # G5: 5,7 => UNS * INC # H5: 5,7 => UNS * INC # F4: 5,7 => UNS * INC # F4: 1,6 => UNS * INC # G3: 5,7 => UNS * INC # G8: 5,7 => UNS * INC # G9: 5,7 => UNS * INC # B7: 2,7 => UNS * INC # B7: 1,3,4,6 => UNS * INC # F4: 1,6 # C4: 2,9 => UNS * INC # F4: 1,6 # C4: 5 => UNS * INC # F4: 1,6 # B8: 2,9 => UNS * INC # F4: 1,6 # B8: 3,6,7 => UNS * INC # F4: 1,6 # E6: 3,8 => UNS * INC # F4: 1,6 # E6: 5 => UNS * INC # F4: 1,6 # D2: 3,8 => UNS * INC # F4: 1,6 # D3: 3,8 => UNS * INC # F4: 1,6 # E6: 5,8 => UNS * DIS # F4: 1,6 # E6: 3 => CTR => E6: 5,8 * INC # F4: 1,6 + E6: 5,8 # F3: 5,8 => UNS * INC # F4: 1,6 + E6: 5,8 # F3: 1,4,9 => UNS * INC # F4: 1,6 + E6: 5,8 # I4: 5,7 => UNS * INC # F4: 1,6 + E6: 5,8 # I4: 9 => UNS * DIS # F4: 1,6 + E6: 5,8 # G3: 5,7 => CTR => G3: 1,3,4,8 * DIS # F4: 1,6 + E6: 5,8 + G3: 1,3,4,8 # G8: 5,7 => CTR => G8: 3,8 * PRF # F4: 1,6 + E6: 5,8 + G3: 1,3,4,8 + G8: 3,8 # G9: 5,7 => SOL * STA # F4: 1,6 + E6: 5,8 + G3: 1,3,4,8 + G8: 3,8 + G9: 5,7 * CNT 33 HDP CHAINS / 34 HYP OPENED