Analysis of xx-ph-00000998-H242-base.sdk
Contents
Original Sudoku
level: hard
position: 9876.....65....7............4..8..1...65..9.......2..3..59..8......3..2......1..4 initial
Autosolve
position: 9876.....65....7............4..8..1...65..9.......2..3..59..8......3..2......1..4 autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:38.975848
The following important HDP chains were detected:
* DIS # F5: 4 # I5: 7,8 => CTR => I5: 2 * DIS # F5: 4 + I5: 2 # E7: 6,7 => CTR => E7: 2,4 * DIS # F5: 4 + I5: 2 + E7: 2,4 # B7: 6,7 => CTR => B7: 1,2,3 * PRF # F5: 4 + I5: 2 + E7: 2,4 + B7: 1,2,3 # H7: 6,7 => SOL * STA # F5: 4 + I5: 2 + E7: 2,4 + B7: 1,2,3 + H7: 6,7 * CNT 4 HDP CHAINS / 46 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 9876.....65....7............4..8..1...65..9.......2..3..59..8......3..2......1..4 | initial |
| 9876.....65....7............4..8..1...65..9.......2..3..59..8......3..2......1..4 | autosolve |
| 987613245651428739423795168542389617316574982879162453235946871194837526768251394 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (3) D4: 3,7 F4: 6,9 E6: 6,9 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) E5,D6: 1.. / E5 = 1 => 4 pairs (_) / D6 = 1 => 7 pairs (_) D4,F5: 3.. / D4 = 3 => 4 pairs (_) / F5 = 3 => 7 pairs (_) A4,A6: 5.. / A4 = 5 => 4 pairs (_) / A6 = 5 => 4 pairs (_) F8,E9: 5.. / F8 = 5 => 5 pairs (_) / E9 = 5 => 4 pairs (_) F4,E6: 6.. / F4 = 6 => 5 pairs (_) / E6 = 6 => 3 pairs (_) F4,E6: 9.. / F4 = 9 => 3 pairs (_) / E6 = 9 => 5 pairs (_) I8,H9: 9.. / I8 = 9 => 3 pairs (_) / H9 = 9 => 3 pairs (_) C4,F4: 9.. / C4 = 9 => 5 pairs (_) / F4 = 9 => 3 pairs (_) * DURATION: 0:00:05.987943 START: 22:50:05.041642 END: 22:50:11.029585 2020-11-23 * CP COUNT: (8) * INCONCLUSIVE * DEEP PAIR REDUCTION * DURATION: 0:00:38.649532 START: 22:50:16.526344 END: 22:50:55.175876 2020-11-23 * SOLUTION FOUND * SAVE PR GRAPH xx-ph-00000998-H242-base-pr-002.dot * REASONING * DIS # F5: 4 # I5: 7,8 => CTR => I5: 2 * DIS # F5: 4 + I5: 2 # E7: 6,7 => CTR => E7: 2,4 * DIS # F5: 4 + I5: 2 + E7: 2,4 # B7: 6,7 => CTR => B7: 1,2,3 * PRF # F5: 4 + I5: 2 + E7: 2,4 + B7: 1,2,3 # H7: 6,7 => SOL * STA # F5: 4 + I5: 2 + E7: 2,4 + B7: 1,2,3 + H7: 6,7 * CNT 4 HDP CHAINS / 46 HYP OPENED
Header Info
998;H242;GP;22;11.30;11.30;3.40
Solution
position: 987613245651428739423795168542389617316574982879162453235946871194837526768251394 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 # F5: 3,7 => UNS * INC # F5: 4 => UNS * INC # A4: 3,7 => UNS * INC # A4: 2,5 => UNS * INC # D3: 3,7 => UNS * INC # D3: 1,2,4,8 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # F5: 3,7 => UNS * INC # F5: 4 => UNS * INC # A4: 3,7 => UNS * INC # A4: 2,5 => UNS * INC # D3: 3,7 => UNS * INC # D3: 1,2,4,8 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # F5: 3,7 => UNS * INC # F5: 4 => UNS * INC # A4: 3,7 => UNS * INC # A4: 2,5 => UNS * INC # D3: 3,7 => UNS * INC # D3: 1,2,4,8 => UNS * INC # F5: 3,7 # A4: 3,7 => UNS * INC # F5: 3,7 # A4: 2,5 => UNS * INC # F5: 3,7 # D3: 3,7 => UNS * INC # F5: 3,7 # D3: 1,2,4,8 => UNS * INC # F5: 3,7 # E1: 1,4 => UNS * INC # F5: 3,7 # E2: 1,4 => UNS * INC # F5: 3,7 # E3: 1,4 => UNS * INC # F5: 3,7 # A5: 3,7 => UNS * INC # F5: 3,7 # B5: 3,7 => UNS * INC # F5: 3,7 # F3: 3,7 => UNS * INC # F5: 3,7 # F3: 4,5,8,9 => UNS * INC # F5: 3,7 # D2: 1,4 => UNS * INC # F5: 3,7 # D3: 1,4 => UNS * INC # F5: 3,7 => UNS * INC # F5: 4 # F3: 3,5 => UNS * INC # F5: 4 # F3: 7,8,9 => UNS * INC # F5: 4 # G1: 3,5 => UNS * INC # F5: 4 # H1: 3,5 => UNS * INC # F5: 4 # C9: 2,9 => UNS * INC # F5: 4 # C9: 3,8 => UNS * INC # F5: 4 # A5: 1,7 => UNS * INC # F5: 4 # B5: 1,7 => UNS * INC # F5: 4 # E3: 1,7 => UNS * INC # F5: 4 # E3: 2,4,5,9 => UNS * INC # F5: 4 # A6: 1,7 => UNS * INC # F5: 4 # B6: 1,7 => UNS * INC # F5: 4 # D3: 1,7 => UNS * INC # F5: 4 # D3: 2,4,8 => UNS * DIS # F5: 4 # I5: 7,8 => CTR => I5: 2 * INC # F5: 4 + I5: 2 # H6: 7,8 => UNS * INC # F5: 4 + I5: 2 # H6: 7,8 => UNS * INC # F5: 4 + I5: 2 # H6: 4,5,6 => UNS * INC # F5: 4 + I5: 2 # A5: 7,8 => UNS * INC # F5: 4 + I5: 2 # A5: 1,3 => UNS * DIS # F5: 4 + I5: 2 # E7: 6,7 => CTR => E7: 2,4 * INC # F5: 4 + I5: 2 + E7: 2,4 # F8: 6,7 => UNS * INC # F5: 4 + I5: 2 + E7: 2,4 # E9: 6,7 => UNS * DIS # F5: 4 + I5: 2 + E7: 2,4 # B7: 6,7 => CTR => B7: 1,2,3 * PRF # F5: 4 + I5: 2 + E7: 2,4 + B7: 1,2,3 # H7: 6,7 => SOL * STA # F5: 4 + I5: 2 + E7: 2,4 + B7: 1,2,3 + H7: 6,7 * CNT 45 HDP CHAINS / 46 HYP OPENED