Analysis of xx-ph-00000414-L32-base.sdk
Contents
Original Sudoku
level: hard
position: 1...5...9..7........83...4..4.8.7.......1...2.6...3.7.......2...8.6...3.9.....5.. initial
Autosolve
position: 1...5...9..7........83...4..4.8.7.......1...2.6...3.7.......2...8.6...3.9.....5.. autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:33.758696
The following important HDP chains were detected:
* DIS # C1: 2,3 # C9: 2,3 => CTR => C9: 4,6 * DIS # C1: 2,3 + C9: 4,6 # F3: 1,9 => CTR => F3: 2 * DIS # C1: 2,3 + C9: 4,6 + F3: 2 # I2: 6,8 => CTR => I2: 3,5 * PRF # C1: 2,3 + C9: 4,6 + F3: 2 + I2: 3,5 # H5: 6,8 => SOL * STA # C1: 2,3 + C9: 4,6 + F3: 2 + I2: 3,5 + H5: 6,8 * CNT 4 HDP CHAINS / 28 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 1...5...9..7........83...4..4.8.7.......1...2.6...3.7.......2...8.6...3.9.....5.. | initial |
| 1...5...9..7........83...4..4.8.7.......1...2.6...3.7.......2...8.6...3.9.....5.. | autosolve |
| 123456789457189623698372145249867351735914862861523974316745298582691437974238516 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (1) B1: 2,3 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) C4,C6: 1.. / C4 = 1 => 1 pairs (_) / C6 = 1 => 1 pairs (_) B7,B9: 1.. / B7 = 1 => 1 pairs (_) / B9 = 1 => 3 pairs (_) H1,H2: 2.. / H1 = 2 => 3 pairs (_) / H2 = 2 => 2 pairs (_) E7,E9: 3.. / E7 = 3 => 1 pairs (_) / E9 = 3 => 1 pairs (_) I2,I4: 3.. / I2 = 3 => 1 pairs (_) / I4 = 3 => 2 pairs (_) C1,A2: 4.. / C1 = 4 => 3 pairs (_) / A2 = 4 => 1 pairs (_) E4,F5: 6.. / E4 = 6 => 2 pairs (_) / F5 = 6 => 2 pairs (_) D1,E3: 7.. / D1 = 7 => 1 pairs (_) / E3 = 7 => 3 pairs (_) A5,B5: 7.. / A5 = 7 => 5 pairs (_) / B5 = 7 => 1 pairs (_) D1,G1: 7.. / D1 = 7 => 1 pairs (_) / G1 = 7 => 3 pairs (_) A5,A6: 8.. / A5 = 8 => 2 pairs (_) / A6 = 8 => 1 pairs (_) B2,B3: 9.. / B2 = 9 => 2 pairs (_) / B3 = 9 => 1 pairs (_) H7,G8: 9.. / H7 = 9 => 1 pairs (_) / G8 = 9 => 1 pairs (_) * DURATION: 0:00:10.192239 START: 14:20:49.084119 END: 14:20:59.276358 2020-10-18 * CP COUNT: (13) * INCONCLUSIVE * DEEP PAIR REDUCTION * DURATION: 0:00:33.580309 START: 14:21:04.895238 END: 14:21:38.475547 2020-10-18 * SOLUTION FOUND * SAVE PR GRAPH xx-ph-00000414-L32-base-pr-002.dot * REASONING * DIS # C1: 2,3 # C9: 2,3 => CTR => C9: 4,6 * DIS # C1: 2,3 + C9: 4,6 # F3: 1,9 => CTR => F3: 2 * DIS # C1: 2,3 + C9: 4,6 + F3: 2 # I2: 6,8 => CTR => I2: 3,5 * PRF # C1: 2,3 + C9: 4,6 + F3: 2 + I2: 3,5 # H5: 6,8 => SOL * STA # C1: 2,3 + C9: 4,6 + F3: 2 + I2: 3,5 + H5: 6,8 * CNT 4 HDP CHAINS / 28 HYP OPENED
Header Info
414;L32;elev;21;11.40;11.40;2.60
Solution
position: 123456789457189623698372145249867351735914862861523974316745298582691437974238516 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 # C1: 2,3 => UNS * INC # A2: 2,3 => UNS * INC # B2: 2,3 => UNS * INC # B9: 2,3 => UNS * INC # B9: 1,7 => UNS * CNT 5 HDP CHAINS / 5 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # C1: 2,3 => UNS * INC # A2: 2,3 => UNS * INC # B2: 2,3 => UNS * INC # B9: 2,3 => UNS * INC # B9: 1,7 => UNS * CNT 5 HDP CHAINS / 5 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # C1: 2,3 => UNS * INC # A2: 2,3 => UNS * INC # B2: 2,3 => UNS * INC # B9: 2,3 => UNS * INC # B9: 1,7 => UNS * INC # C1: 2,3 # B9: 2,3 => UNS * INC # C1: 2,3 # B9: 1,7 => UNS * INC # C1: 2,3 # C4: 2,3 => UNS * DIS # C1: 2,3 # C9: 2,3 => CTR => C9: 4,6 * INC # C1: 2,3 + C9: 4,6 # C4: 2,3 => UNS * INC # C1: 2,3 + C9: 4,6 # C4: 1,5,9 => UNS * INC # C1: 2,3 + C9: 4,6 # C4: 2,3 => UNS * INC # C1: 2,3 + C9: 4,6 # C4: 1,5,9 => UNS * INC # C1: 2,3 + C9: 4,6 # D7: 4,7 => UNS * INC # C1: 2,3 + C9: 4,6 # D9: 4,7 => UNS * INC # C1: 2,3 + C9: 4,6 # F2: 1,9 => UNS * DIS # C1: 2,3 + C9: 4,6 # F3: 1,9 => CTR => F3: 2 * INC # C1: 2,3 + C9: 4,6 + F3: 2 # F2: 1,9 => UNS * INC # C1: 2,3 + C9: 4,6 + F3: 2 # F2: 6,8 => UNS * INC # C1: 2,3 + C9: 4,6 + F3: 2 # D7: 1,9 => UNS * INC # C1: 2,3 + C9: 4,6 + F3: 2 # D7: 4,5,7 => UNS * INC # C1: 2,3 + C9: 4,6 + F3: 2 # G1: 6,8 => UNS * INC # C1: 2,3 + C9: 4,6 + F3: 2 # G2: 6,8 => UNS * DIS # C1: 2,3 + C9: 4,6 + F3: 2 # I2: 6,8 => CTR => I2: 3,5 * INC # C1: 2,3 + C9: 4,6 + F3: 2 + I2: 3,5 # F1: 6,8 => UNS * INC # C1: 2,3 + C9: 4,6 + F3: 2 + I2: 3,5 # F1: 4 => UNS * PRF # C1: 2,3 + C9: 4,6 + F3: 2 + I2: 3,5 # H5: 6,8 => SOL * STA # C1: 2,3 + C9: 4,6 + F3: 2 + I2: 3,5 + H5: 6,8 * CNT 27 HDP CHAINS / 28 HYP OPENED