Analysis of xx-ph-00248040-12_12_03-base.sdk
Original Sudoku
level: deep
position: ........1.....2.3.....4.5.6..1.5.4....6...1.7.8.....9...746.....9..78...8....3... initial
Autosolve
position: ........1.....2.3.....4.5.6..1.5.4....6...1.7.8.....9...746.....9..78...8....3... autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:03.884031
See Appendix: Full HDP Chains for full list of HDP chains.
Deep Constraint Pair Analysis
Time used: 0:00:00.000012
List of important HDP chains detected for A8,B9: 6..:
* DIS # A8: 6 # G7: 2,3 => CTR => G7: 8,9 * CNT 1 HDP CHAINS / 25 HYP OPENED
List of important HDP chains detected for H4,G6: 6..:
* DIS # H4: 6 # A6: 2,3 => CTR => A6: 4,5,7 * DIS # G6: 6 # H5: 2,8 => CTR => H5: 5 * DIS # G6: 6 + H5: 5 # H7: 2,8 => CTR => H7: 1 * DIS # G6: 6 + H5: 5 + H7: 1 # I4: 8 => CTR => I4: 2,3 * DIS # G6: 6 + H5: 5 + H7: 1 + I4: 2,3 # A6: 2,3 => CTR => A6: 4,5,7 * DIS # G6: 6 + H5: 5 + H7: 1 + I4: 2,3 + A6: 4,5,7 # C6: 2,3 => CTR => C6: 5 * PRF # G6: 6 + H5: 5 + H7: 1 + I4: 2,3 + A6: 4,5,7 + C6: 5 # B1: 6,7 => SOL * STA # G6: 6 + H5: 5 + H7: 1 + I4: 2,3 + A6: 4,5,7 + C6: 5 + B1: 6,7 * CNT 7 HDP CHAINS / 68 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
This sudoku is deep. Here is some information that may be helpful on how to proceed.
Positions
| ........1.....2.3.....4.5.6..1.5.4....6...1.7.8.....9...746.....9..78...8....3... | initial |
| ........1.....2.3.....4.5.6..1.5.4....6...1.7.8.....9...746.....9..78...8....3... | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * PAIRS (1) F5: 4,9 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) H1,I2: 4.. / H1 = 4 => 2 pairs (_) / I2 = 4 => 1 pairs (_) F5,F6: 4.. / F5 = 4 => 0 pairs (_) / F6 = 4 => 3 pairs (_) H5,I6: 5.. / H5 = 5 => 2 pairs (_) / I6 = 5 => 2 pairs (_) F1,F7: 5.. / F1 = 5 => 2 pairs (_) / F7 = 5 => 2 pairs (_) H4,G6: 6.. / H4 = 6 => 3 pairs (_) / G6 = 6 => 3 pairs (_) A8,B9: 6.. / A8 = 6 => 4 pairs (_) / B9 = 6 => 1 pairs (_) G9,H9: 7.. / G9 = 7 => 2 pairs (_) / H9 = 7 => 2 pairs (_) A4,A5: 9.. / A4 = 9 => 2 pairs (_) / A5 = 9 => 0 pairs (_) * DURATION: 0:00:05.378939 START: 04:43:40.229070 END: 04:43:45.608009 2020-09-23 * CP COUNT: (8) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) A8,B9: 6.. / A8 = 6 ==> 5 pairs (_) / B9 = 6 ==> 1 pairs (_) H4,G6: 6.. / H4 = 6 ==> 3 pairs (_) / G6 = 6 ==> 0 pairs (*) * DURATION: 0:00:52.173315 START: 04:43:51.493910 END: 04:44:43.667225 2020-09-23 * REASONING A8,B9: 6.. * DIS # A8: 6 # G7: 2,3 => CTR => G7: 8,9 * CNT 1 HDP CHAINS / 25 HYP OPENED * REASONING H4,G6: 6.. * DIS # H4: 6 # A6: 2,3 => CTR => A6: 4,5,7 * DIS # G6: 6 # H5: 2,8 => CTR => H5: 5 * DIS # G6: 6 + H5: 5 # H7: 2,8 => CTR => H7: 1 * DIS # G6: 6 + H5: 5 + H7: 1 # I4: 8 => CTR => I4: 2,3 * DIS # G6: 6 + H5: 5 + H7: 1 + I4: 2,3 # A6: 2,3 => CTR => A6: 4,5,7 * DIS # G6: 6 + H5: 5 + H7: 1 + I4: 2,3 + A6: 4,5,7 # C6: 2,3 => CTR => C6: 5 * PRF # G6: 6 + H5: 5 + H7: 1 + I4: 2,3 + A6: 4,5,7 + C6: 5 # B1: 6,7 => SOL * STA # G6: 6 + H5: 5 + H7: 1 + I4: 2,3 + A6: 4,5,7 + C6: 5 + B1: 6,7 * CNT 7 HDP CHAINS / 68 HYP OPENED * DCP COUNT: (2) * SOLUTION FOUND
Header Info
248040;12_12_03;dob;22;11.60;11.60;2.60
Appendix: Full HDP Chains
A1. Pair Reduction Analysis
Full list of HDP chains traversed:
* INC # A5: 4,9 => UNS * INC # A5: 2,3,5 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # A5: 4,9 => UNS * INC # A5: 2,3,5 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # A5: 4,9 => UNS * INC # A5: 2,3,5 => UNS * INC # A5: 4,9 => UNS * INC # A5: 2,3,5 # D4: 6,7 => UNS * INC # A5: 2,3,5 # D6: 6,7 => UNS * INC # A5: 2,3,5 # F6: 6,7 => UNS * INC # A5: 2,3,5 # F1: 6,7 => UNS * INC # A5: 2,3,5 # F1: 5,9 => UNS * INC # A5: 2,3,5 => UNS * CNT 9 HDP CHAINS / 9 HYP OPENED
A4. Deep Constraint Pair Analysis
Full list of HDP chains traversed for A8,B9: 6..:
* INC # A8: 6 # A5: 4,9 => UNS * INC # A8: 6 # A5: 2,3,5 => UNS * DIS # A8: 6 # G7: 2,3 => CTR => G7: 8,9 * INC # A8: 6 + G7: 8,9 # I7: 2,3 => UNS * INC # A8: 6 + G7: 8,9 # I8: 2,3 => UNS * INC # A8: 6 + G7: 8,9 # C8: 2,3 => UNS * INC # A8: 6 + G7: 8,9 # C8: 4,5 => UNS * INC # A8: 6 + G7: 8,9 # G6: 2,3 => UNS * INC # A8: 6 + G7: 8,9 # G6: 6 => UNS * INC # A8: 6 + G7: 8,9 # A5: 4,9 => UNS * INC # A8: 6 + G7: 8,9 # A5: 2,3,5 => UNS * INC # A8: 6 + G7: 8,9 # I7: 8,9 => UNS * INC # A8: 6 + G7: 8,9 # I7: 2,3,5 => UNS * INC # A8: 6 + G7: 8,9 # G1: 8,9 => UNS * INC # A8: 6 + G7: 8,9 # G2: 8,9 => UNS * INC # A8: 6 + G7: 8,9 # I7: 2,3 => UNS * INC # A8: 6 + G7: 8,9 # I8: 2,3 => UNS * INC # A8: 6 + G7: 8,9 # C8: 2,3 => UNS * INC # A8: 6 + G7: 8,9 # C8: 4,5 => UNS * INC # A8: 6 + G7: 8,9 # G6: 2,3 => UNS * INC # A8: 6 + G7: 8,9 # G6: 6 => UNS * INC # A8: 6 + G7: 8,9 => UNS * INC # B9: 6 # A5: 4,9 => UNS * INC # B9: 6 # A5: 2,3,5 => UNS * INC # B9: 6 => UNS * CNT 25 HDP CHAINS / 25 HYP OPENED
Full list of HDP chains traversed for H4,G6: 6..:
* INC # H4: 6 # D4: 7,9 => UNS * INC # H4: 6 # D4: 2,3,8 => UNS * INC # H4: 6 # A4: 7,9 => UNS * INC # H4: 6 # A4: 2,3 => UNS * INC # H4: 6 # F1: 7,9 => UNS * INC # H4: 6 # F3: 7,9 => UNS * INC # H4: 6 # A5: 4,9 => UNS * INC # H4: 6 # A5: 2,3,5 => UNS * INC # H4: 6 # I4: 2,3 => UNS * INC # H4: 6 # I6: 2,3 => UNS * DIS # H4: 6 # A6: 2,3 => CTR => A6: 4,5,7 * INC # H4: 6 + A6: 4,5,7 # C6: 2,3 => UNS * INC # H4: 6 + A6: 4,5,7 # D6: 2,3 => UNS * INC # H4: 6 + A6: 4,5,7 # E6: 2,3 => UNS * INC # H4: 6 + A6: 4,5,7 # G7: 2,3 => UNS * INC # H4: 6 + A6: 4,5,7 # G8: 2,3 => UNS * INC # H4: 6 + A6: 4,5,7 # I4: 2,3 => UNS * INC # H4: 6 + A6: 4,5,7 # I6: 2,3 => UNS * INC # H4: 6 + A6: 4,5,7 # C6: 2,3 => UNS * INC # H4: 6 + A6: 4,5,7 # D6: 2,3 => UNS * INC # H4: 6 + A6: 4,5,7 # E6: 2,3 => UNS * INC # H4: 6 + A6: 4,5,7 # G7: 2,3 => UNS * INC # H4: 6 + A6: 4,5,7 # G8: 2,3 => UNS * INC # H4: 6 + A6: 4,5,7 # D4: 7,9 => UNS * INC # H4: 6 + A6: 4,5,7 # D4: 2,3,8 => UNS * INC # H4: 6 + A6: 4,5,7 # A4: 7,9 => UNS * INC # H4: 6 + A6: 4,5,7 # A4: 2,3 => UNS * INC # H4: 6 + A6: 4,5,7 # F1: 7,9 => UNS * INC # H4: 6 + A6: 4,5,7 # F3: 7,9 => UNS * INC # H4: 6 + A6: 4,5,7 # A5: 4,9 => UNS * INC # H4: 6 + A6: 4,5,7 # A5: 2,3,5 => UNS * INC # H4: 6 + A6: 4,5,7 # I4: 2,3 => UNS * INC # H4: 6 + A6: 4,5,7 # I6: 2,3 => UNS * INC # H4: 6 + A6: 4,5,7 # C6: 2,3 => UNS * INC # H4: 6 + A6: 4,5,7 # D6: 2,3 => UNS * INC # H4: 6 + A6: 4,5,7 # E6: 2,3 => UNS * INC # H4: 6 + A6: 4,5,7 # G7: 2,3 => UNS * INC # H4: 6 + A6: 4,5,7 # G8: 2,3 => UNS * INC # H4: 6 + A6: 4,5,7 => UNS * INC # G6: 6 # A5: 4,9 => UNS * INC # G6: 6 # A5: 2,3,5 => UNS * INC # G6: 6 # I4: 2,8 => UNS * DIS # G6: 6 # H5: 2,8 => CTR => H5: 5 * INC # G6: 6 + H5: 5 # I4: 2,8 => UNS * INC # G6: 6 + H5: 5 # I4: 3 => UNS * INC # G6: 6 + H5: 5 # H1: 2,8 => UNS * INC # G6: 6 + H5: 5 # H3: 2,8 => UNS * DIS # G6: 6 + H5: 5 # H7: 2,8 => CTR => H7: 1 * INC # G6: 6 + H5: 5 + H7: 1 # I4: 2,8 => UNS * INC # G6: 6 + H5: 5 + H7: 1 # I4: 3 => UNS * INC # G6: 6 + H5: 5 + H7: 1 # H1: 2,8 => UNS * INC # G6: 6 + H5: 5 + H7: 1 # H3: 2,8 => UNS * INC # G6: 6 + H5: 5 + H7: 1 # G7: 2,3 => UNS * INC # G6: 6 + H5: 5 + H7: 1 # G7: 8,9 => UNS * INC # G6: 6 + H5: 5 + H7: 1 # C8: 2,3 => UNS * INC # G6: 6 + H5: 5 + H7: 1 # C8: 4,5 => UNS * INC # G6: 6 + H5: 5 + H7: 1 # A5: 4,9 => UNS * INC # G6: 6 + H5: 5 + H7: 1 # A5: 2,3 => UNS * INC # G6: 6 + H5: 5 + H7: 1 # I4: 2,8 => UNS * INC # G6: 6 + H5: 5 + H7: 1 # I4: 3 => UNS * INC # G6: 6 + H5: 5 + H7: 1 # H1: 2,8 => UNS * INC # G6: 6 + H5: 5 + H7: 1 # H3: 2,8 => UNS * INC # G6: 6 + H5: 5 + H7: 1 # I4: 2,3 => UNS * DIS # G6: 6 + H5: 5 + H7: 1 # I4: 8 => CTR => I4: 2,3 * DIS # G6: 6 + H5: 5 + H7: 1 + I4: 2,3 # A6: 2,3 => CTR => A6: 4,5,7 * DIS # G6: 6 + H5: 5 + H7: 1 + I4: 2,3 + A6: 4,5,7 # C6: 2,3 => CTR => C6: 5 * PRF # G6: 6 + H5: 5 + H7: 1 + I4: 2,3 + A6: 4,5,7 + C6: 5 # B1: 6,7 => SOL * STA # G6: 6 + H5: 5 + H7: 1 + I4: 2,3 + A6: 4,5,7 + C6: 5 + B1: 6,7 * CNT 67 HDP CHAINS / 68 HYP OPENED