Analysis of xx-ph-00001092-L114-base.sdk
Original Sudoku
level: very deep
position: 1..4......5...9.3...8.....4....6.4..3....7.1....2..8....2...6...1.....7.97...5... initial
Autosolve
position: 1..4......5...9.3...8.....4....6.4..3....7.1....2..8....2...6...1.....7.97...5... autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000013
List of important HDP chains detected for I5,H6: 6..:
* DIS # H6: 6 # B5: 4,9 => CTR => B5: 2,6,8 * CNT 1 HDP CHAINS / 18 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Very Deep Constraint Pair Analysis
Time used: 0:00:26.366309
List of important HDP chains detected for H7,H9: 4..:
* DIS # H7: 4 # A8: 5,8 # B3: 2,6 => CTR => B3: 9 * PRF # H7: 4 # A8: 5,8 + B3: 9 # F3: 2,6 => SOL * STA # H7: 4 # A8: 5,8 + B3: 9 + F3: 2,6 * CNT 2 HDP CHAINS / 20 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
This sudoku is very deep. Here is some information that may be helpful on how to proceed.
Positions
| 1..4......5...9.3...8.....4....6.4..3....7.1....2..8....2...6...1.....7.97...5... | initial |
| 1..4......5...9.3...8.....4....6.4..3....7.1....2..8....2...6...1.....7.97...5... | autosolve |
Classification
level: very deep
Pairing Analysis
-------------------------------------------------- * PAIRS (2) I4: 3,7 I6: 3,7 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) C4,C6: 1.. / C4 = 1 => 3 pairs (_) / C6 = 1 => 3 pairs (_) I4,I6: 3.. / I4 = 3 => 1 pairs (_) / I6 = 3 => 1 pairs (_) G8,G9: 3.. / G8 = 3 => 3 pairs (_) / G9 = 3 => 3 pairs (_) A2,C2: 4.. / A2 = 4 => 4 pairs (_) / C2 = 4 => 3 pairs (_) H7,H9: 4.. / H7 = 4 => 5 pairs (_) / H9 = 4 => 3 pairs (_) I5,H6: 6.. / I5 = 6 => 3 pairs (_) / H6 = 6 => 3 pairs (_) C9,D9: 6.. / C9 = 6 => 3 pairs (_) / D9 = 6 => 3 pairs (_) I4,I6: 7.. / I4 = 7 => 1 pairs (_) / I6 = 7 => 1 pairs (_) D7,E7: 7.. / D7 = 7 => 2 pairs (_) / E7 = 7 => 2 pairs (_) * DURATION: 0:00:07.491573 START: 01:37:03.820930 END: 01:37:11.312503 2020-11-25 * CP COUNT: (9) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) H7,H9: 4.. / H7 = 4 ==> 5 pairs (_) / H9 = 4 ==> 3 pairs (_) A2,C2: 4.. / A2 = 4 ==> 4 pairs (_) / C2 = 4 ==> 3 pairs (_) C9,D9: 6.. / C9 = 6 ==> 3 pairs (_) / D9 = 6 ==> 3 pairs (_) I5,H6: 6.. / I5 = 6 ==> 3 pairs (_) / H6 = 6 ==> 3 pairs (_) G8,G9: 3.. / G8 = 3 ==> 3 pairs (_) / G9 = 3 ==> 3 pairs (_) C4,C6: 1.. / C4 = 1 ==> 3 pairs (_) / C6 = 1 ==> 3 pairs (_) D7,E7: 7.. / D7 = 7 ==> 2 pairs (_) / E7 = 7 ==> 2 pairs (_) I4,I6: 7.. / I4 = 7 ==> 1 pairs (_) / I6 = 7 ==> 1 pairs (_) I4,I6: 3.. / I4 = 3 ==> 1 pairs (_) / I6 = 3 ==> 1 pairs (_) * DURATION: 0:01:14.635337 START: 01:37:12.256764 END: 01:38:26.892101 2020-11-25 * REASONING I5,H6: 6.. * DIS # H6: 6 # B5: 4,9 => CTR => B5: 2,6,8 * CNT 1 HDP CHAINS / 18 HYP OPENED * DCP COUNT: (9) * INCONCLUSIVE -------------------------------------------------- * VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE) H7,H9: 4.. / H7 = 4 ==> 0 pairs (*) / H9 = 4 => 0 pairs (X) * DURATION: 0:00:26.363800 START: 01:38:27.040411 END: 01:38:53.404211 2020-11-25 * REASONING H7,H9: 4.. * DIS # H7: 4 # A8: 5,8 # B3: 2,6 => CTR => B3: 9 * PRF # H7: 4 # A8: 5,8 + B3: 9 # F3: 2,6 => SOL * STA # H7: 4 # A8: 5,8 + B3: 9 + F3: 2,6 * CNT 2 HDP CHAINS / 20 HYP OPENED * VDCP COUNT: (1) * SOLUTION FOUND
Header Info
1092;L114;elev;21;11.30;11.30;2.60
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for H7,H9: 4..:
* INC # H7: 4 # A8: 5,8 => UNS * INC # H7: 4 # A8: 4,6 => UNS * INC # H7: 4 # I7: 5,8 => UNS * INC # H7: 4 # I7: 1,9 => UNS * INC # H7: 4 # A4: 5,8 => UNS * INC # H7: 4 # A4: 2,7 => UNS * INC # H7: 4 # D7: 3,8 => UNS * INC # H7: 4 # E7: 3,8 => UNS * INC # H7: 4 # F7: 3,8 => UNS * INC # H7: 4 # I8: 2,8 => UNS * INC # H7: 4 # I9: 2,8 => UNS * INC # H7: 4 # E9: 2,8 => UNS * INC # H7: 4 # E9: 1,3,4 => UNS * INC # H7: 4 # H1: 2,8 => UNS * INC # H7: 4 # H1: 5,6,9 => UNS * INC # H7: 4 => UNS * INC # H9: 4 # C8: 3,6 => UNS * INC # H9: 4 # C8: 4,5 => UNS * INC # H9: 4 # D9: 3,6 => UNS * INC # H9: 4 # D9: 1,8 => UNS * INC # H9: 4 # C1: 3,6 => UNS * INC # H9: 4 # C1: 7,9 => UNS * INC # H9: 4 => UNS * CNT 23 HDP CHAINS / 23 HYP OPENED
Full list of HDP chains traversed for A2,C2: 4..:
* INC # A2: 4 # C1: 6,7 => UNS * INC # A2: 4 # A3: 6,7 => UNS * INC # A2: 4 # D2: 6,7 => UNS * INC # A2: 4 # D2: 1,8 => UNS * INC # A2: 4 # C6: 6,7 => UNS * INC # A2: 4 # C6: 1,4,5,9 => UNS * INC # A2: 4 # A8: 5,8 => UNS * INC # A2: 4 # A8: 6 => UNS * INC # A2: 4 # H7: 5,8 => UNS * INC # A2: 4 # I7: 5,8 => UNS * INC # A2: 4 # A4: 5,8 => UNS * INC # A2: 4 # A4: 2,7 => UNS * INC # A2: 4 => UNS * INC # C2: 4 # C8: 3,6 => UNS * INC # C2: 4 # C8: 5 => UNS * INC # C2: 4 # D9: 3,6 => UNS * INC # C2: 4 # D9: 1,8 => UNS * INC # C2: 4 # C1: 3,6 => UNS * INC # C2: 4 # C1: 7,9 => UNS * INC # C2: 4 => UNS * CNT 20 HDP CHAINS / 20 HYP OPENED
Full list of HDP chains traversed for C9,D9: 6..:
* INC # C9: 6 # A2: 4,7 => UNS * INC # C9: 6 # A2: 2,6 => UNS * INC # C9: 6 # C6: 4,7 => UNS * INC # C9: 6 # C6: 1,5,9 => UNS * INC # C9: 6 => UNS * INC # D9: 6 # B7: 3,4 => UNS * INC # D9: 6 # C8: 3,4 => UNS * INC # D9: 6 # E9: 3,4 => UNS * INC # D9: 6 # E9: 1,2,8 => UNS * INC # D9: 6 => UNS * CNT 10 HDP CHAINS / 10 HYP OPENED
Full list of HDP chains traversed for I5,H6: 6..:
* INC # I5: 6 # H4: 5,9 => UNS * INC # I5: 6 # G5: 5,9 => UNS * INC # I5: 6 # C6: 5,9 => UNS * INC # I5: 6 # E6: 5,9 => UNS * INC # I5: 6 # H1: 5,9 => UNS * INC # I5: 6 # H3: 5,9 => UNS * INC # I5: 6 # H7: 5,9 => UNS * INC # I5: 6 => UNS * DIS # H6: 6 # B5: 4,9 => CTR => B5: 2,6,8 * INC # H6: 6 + B5: 2,6,8 # C5: 4,9 => UNS * INC # H6: 6 + B5: 2,6,8 # C6: 4,9 => UNS * INC # H6: 6 + B5: 2,6,8 # E6: 4,9 => UNS * INC # H6: 6 + B5: 2,6,8 # E6: 1,3,5 => UNS * INC # H6: 6 + B5: 2,6,8 # C5: 4,9 => UNS * INC # H6: 6 + B5: 2,6,8 # C6: 4,9 => UNS * INC # H6: 6 + B5: 2,6,8 # E6: 4,9 => UNS * INC # H6: 6 + B5: 2,6,8 # E6: 1,3,5 => UNS * INC # H6: 6 + B5: 2,6,8 => UNS * CNT 18 HDP CHAINS / 18 HYP OPENED
Full list of HDP chains traversed for G8,G9: 3..:
* INC # G8: 3 # I9: 1,2 => UNS * INC # G8: 3 # I9: 8 => UNS * INC # G8: 3 # E9: 1,2 => UNS * INC # G8: 3 # E9: 3,4,8 => UNS * INC # G8: 3 # G2: 1,2 => UNS * INC # G8: 3 # G3: 1,2 => UNS * INC # G8: 3 => UNS * INC # G9: 3 # A8: 4,6 => UNS * INC # G9: 3 # C8: 4,6 => UNS * INC # G9: 3 # C2: 4,6 => UNS * INC # G9: 3 # C5: 4,6 => UNS * INC # G9: 3 # C6: 4,6 => UNS * INC # G9: 3 => UNS * CNT 13 HDP CHAINS / 13 HYP OPENED
Full list of HDP chains traversed for C4,C6: 1..:
* INC # C4: 1 # D4: 3,8 => UNS * INC # C4: 1 # D4: 5,9 => UNS * INC # C4: 1 # F1: 3,8 => UNS * INC # C4: 1 # F7: 3,8 => UNS * INC # C4: 1 # F8: 3,8 => UNS * INC # C4: 1 => UNS * INC # C6: 1 # E6: 3,4 => UNS * INC # C6: 1 # E6: 5,9 => UNS * INC # C6: 1 # F7: 3,4 => UNS * INC # C6: 1 # F8: 3,4 => UNS * INC # C6: 1 => UNS * CNT 11 HDP CHAINS / 11 HYP OPENED
Full list of HDP chains traversed for D7,E7: 7..:
* INC # D7: 7 => UNS * INC # E7: 7 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for I4,I6: 7..:
* INC # I4: 7 # E6: 1,4 => UNS * INC # I4: 7 # E6: 5,9 => UNS * INC # I4: 7 # C6: 1,4 => UNS * INC # I4: 7 # C6: 5,6,7,9 => UNS * INC # I4: 7 # F7: 1,4 => UNS * INC # I4: 7 # F7: 3,8 => UNS * INC # I4: 7 => UNS * INC # I6: 7 # D4: 1,8 => UNS * INC # I6: 7 # D4: 5,9 => UNS * INC # I6: 7 # F7: 1,8 => UNS * INC # I6: 7 # F7: 3,4 => UNS * INC # I6: 7 => UNS * CNT 12 HDP CHAINS / 12 HYP OPENED
Full list of HDP chains traversed for I4,I6: 3..:
* INC # I4: 3 # D4: 1,8 => UNS * INC # I4: 3 # D4: 5,9 => UNS * INC # I4: 3 # F7: 1,8 => UNS * INC # I4: 3 # F7: 3,4 => UNS * INC # I4: 3 => UNS * INC # I6: 3 # E6: 1,4 => UNS * INC # I6: 3 # E6: 5,9 => UNS * INC # I6: 3 # C6: 1,4 => UNS * INC # I6: 3 # C6: 5,6,7,9 => UNS * INC # I6: 3 # F7: 1,4 => UNS * INC # I6: 3 # F7: 3,8 => UNS * INC # I6: 3 => UNS * CNT 12 HDP CHAINS / 12 HYP OPENED
A2. Very Deep Constraint Pair Analysis
Full list of HDP chains traversed for H7,H9: 4..:
* INC # H7: 4 # A8: 5,8 => UNS * INC # H7: 4 # A8: 4,6 => UNS * INC # H7: 4 # I7: 5,8 => UNS * INC # H7: 4 # I7: 1,9 => UNS * INC # H7: 4 # A4: 5,8 => UNS * INC # H7: 4 # A4: 2,7 => UNS * INC # H7: 4 # D7: 3,8 => UNS * INC # H7: 4 # E7: 3,8 => UNS * INC # H7: 4 # F7: 3,8 => UNS * INC # H7: 4 # I8: 2,8 => UNS * INC # H7: 4 # I9: 2,8 => UNS * INC # H7: 4 # E9: 2,8 => UNS * INC # H7: 4 # E9: 1,3,4 => UNS * INC # H7: 4 # H1: 2,8 => UNS * INC # H7: 4 # H1: 5,6,9 => UNS * INC # H7: 4 # A8: 5,8 # B1: 2,6 => UNS * DIS # H7: 4 # A8: 5,8 # B3: 2,6 => CTR => B3: 9 * PRF # H7: 4 # A8: 5,8 + B3: 9 # F3: 2,6 => SOL * STA # H7: 4 # A8: 5,8 + B3: 9 + F3: 2,6 * CNT 18 HDP CHAINS / 20 HYP OPENED