Analysis of xx-ph-00254514-12_12_03-base.sdk
Contents
Original Sudoku
level: hard
position: ........1..2..3.4..5.16......3..2.7..2.5..8..6...8......9.....3.4...9..72...4..9. initial
Autosolve
position: ........1..2..3.4..5.16......3..2.7..2.5..8..6...8......9...4.3.4...9..72...4..9. autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:39.237473
The following important HDP chains were detected:
* DIS # E5: 1,9 # I3: 2,8 => CTR => I3: 9 * DIS # E5: 1,9 + I3: 9 # I4: 5 => CTR => I4: 4,6 * DIS # E5: 1,9 + I3: 9 + I4: 4,6 # A4: 1,9 => CTR => A4: 5,8 * DIS # E5: 1,9 + I3: 9 + I4: 4,6 + A4: 5,8 # B4: 1,9 => CTR => B4: 8 * DIS # E5: 1,9 + I3: 9 + I4: 4,6 + A4: 5,8 + B4: 8 # F5: 4,7 => CTR => F5: 6 * PRF # E5: 1,9 + I3: 9 + I4: 4,6 + A4: 5,8 + B4: 8 + F5: 6 # C1: 7,8 => SOL * STA # E5: 1,9 + I3: 9 + I4: 4,6 + A4: 5,8 + B4: 8 + F5: 6 + C1: 7,8 * CNT 6 HDP CHAINS / 31 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| ........1..2..3.4..5.16......3..2.7..2.5..8..6...8......9.....3.4...9..72...4..9. | initial |
| ........1..2..3.4..5.16......3..2.7..2.5..8..6...8......9...4.3.4...9..72...4..9. | autosolve |
| 467925381912873645358164729583412976721596834694387152179258463845639217236741598 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (1) E4: 1,9 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) A2,B2: 1.. / A2 = 1 => 1 pairs (_) / B2 = 1 => 3 pairs (_) D1,E1: 2.. / D1 = 2 => 2 pairs (_) / E1 = 2 => 1 pairs (_) I3,I6: 2.. / I3 = 2 => 2 pairs (_) / I6 = 2 => 2 pairs (_) E5,D6: 3.. / E5 = 3 => 2 pairs (_) / D6 = 3 => 2 pairs (_) A8,B9: 3.. / A8 = 3 => 2 pairs (_) / B9 = 3 => 1 pairs (_) E5,H5: 3.. / E5 = 3 => 2 pairs (_) / H5 = 3 => 2 pairs (_) B9,D9: 3.. / B9 = 3 => 1 pairs (_) / D9 = 3 => 2 pairs (_) B1,B9: 3.. / B1 = 3 => 2 pairs (_) / B9 = 3 => 1 pairs (_) E5,E8: 3.. / E5 = 3 => 2 pairs (_) / E8 = 3 => 2 pairs (_) A4,C6: 5.. / A4 = 5 => 1 pairs (_) / C6 = 5 => 1 pairs (_) D4,F5: 6.. / D4 = 6 => 1 pairs (_) / F5 = 6 => 4 pairs (_) A4,B4: 8.. / A4 = 8 => 5 pairs (_) / B4 = 8 => 1 pairs (_) * DURATION: 0:00:08.144366 START: 02:15:34.912601 END: 02:15:43.056967 2020-10-28 * CP COUNT: (12) * INCONCLUSIVE * DEEP PAIR REDUCTION * DURATION: 0:00:39.013379 START: 02:15:47.733017 END: 02:16:26.746396 2020-10-28 * SOLUTION FOUND * SAVE PR GRAPH xx-ph-00254514-12_12_03-base-pr-002.dot * REASONING * DIS # E5: 1,9 # I3: 2,8 => CTR => I3: 9 * DIS # E5: 1,9 + I3: 9 # I4: 5 => CTR => I4: 4,6 * DIS # E5: 1,9 + I3: 9 + I4: 4,6 # A4: 1,9 => CTR => A4: 5,8 * DIS # E5: 1,9 + I3: 9 + I4: 4,6 + A4: 5,8 # B4: 1,9 => CTR => B4: 8 * DIS # E5: 1,9 + I3: 9 + I4: 4,6 + A4: 5,8 + B4: 8 # F5: 4,7 => CTR => F5: 6 * PRF # E5: 1,9 + I3: 9 + I4: 4,6 + A4: 5,8 + B4: 8 + F5: 6 # C1: 7,8 => SOL * STA # E5: 1,9 + I3: 9 + I4: 4,6 + A4: 5,8 + B4: 8 + F5: 6 + C1: 7,8 * CNT 6 HDP CHAINS / 31 HYP OPENED
Header Info
254514;12_12_03;dob;23;11.40;1.20;1.20
Solution
position: 467925381912873645358164729583412976721596834694387152179258463845639217236741598 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 # E5: 1,9 => UNS * INC # E5: 3,7 => UNS * INC # A4: 1,9 => UNS * INC # B4: 1,9 => UNS * INC # G4: 1,9 => UNS * CNT 5 HDP CHAINS / 5 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # E5: 1,9 => UNS * INC # E5: 3,7 => UNS * INC # A4: 1,9 => UNS * INC # B4: 1,9 => UNS * INC # G4: 1,9 => UNS * CNT 5 HDP CHAINS / 5 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # E5: 1,9 => UNS * INC # E5: 3,7 => UNS * INC # A4: 1,9 => UNS * INC # B4: 1,9 => UNS * INC # G4: 1,9 => UNS * INC # E5: 1,9 # E1: 5,7 => UNS * INC # E5: 1,9 # E1: 2 => UNS * INC # E5: 1,9 # G2: 5,7 => UNS * INC # E5: 1,9 # G2: 6,9 => UNS * INC # E5: 1,9 # E7: 5,7 => UNS * INC # E5: 1,9 # E7: 2 => UNS * INC # E5: 1,9 # D1: 4,8 => UNS * INC # E5: 1,9 # F1: 4,8 => UNS * INC # E5: 1,9 # A3: 4,8 => UNS * INC # E5: 1,9 # C3: 4,8 => UNS * DIS # E5: 1,9 # I3: 2,8 => CTR => I3: 9 * INC # E5: 1,9 + I3: 9 # H7: 2,8 => UNS * INC # E5: 1,9 + I3: 9 # H8: 2,8 => UNS * INC # E5: 1,9 + I3: 9 # F5: 4,6 => UNS * INC # E5: 1,9 + I3: 9 # F5: 7 => UNS * INC # E5: 1,9 + I3: 9 # I4: 4,6 => UNS * DIS # E5: 1,9 + I3: 9 # I4: 5 => CTR => I4: 4,6 * INC # E5: 1,9 + I3: 9 + I4: 4,6 # F5: 4,6 => UNS * INC # E5: 1,9 + I3: 9 + I4: 4,6 # F5: 7 => UNS * DIS # E5: 1,9 + I3: 9 + I4: 4,6 # A4: 1,9 => CTR => A4: 5,8 * DIS # E5: 1,9 + I3: 9 + I4: 4,6 + A4: 5,8 # B4: 1,9 => CTR => B4: 8 * INC # E5: 1,9 + I3: 9 + I4: 4,6 + A4: 5,8 + B4: 8 # A5: 1,9 => UNS * INC # E5: 1,9 + I3: 9 + I4: 4,6 + A4: 5,8 + B4: 8 # A5: 4,7 => UNS * DIS # E5: 1,9 + I3: 9 + I4: 4,6 + A4: 5,8 + B4: 8 # F5: 4,7 => CTR => F5: 6 * PRF # E5: 1,9 + I3: 9 + I4: 4,6 + A4: 5,8 + B4: 8 + F5: 6 # C1: 7,8 => SOL * STA # E5: 1,9 + I3: 9 + I4: 4,6 + A4: 5,8 + B4: 8 + F5: 6 + C1: 7,8 * CNT 30 HDP CHAINS / 31 HYP OPENED