Analysis of xx-ph-00000283-H46-base.sdk
Original Sudoku
level: deep
position: 98.7.....76....8....5......4...9..3...68..5.......2..1..75..9......3...4.....1.2. initial
Autosolve
position: 98.7.....76....8....5......4...9..3...68..5.......2..1..75..9......3...4.....1.2. autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:07.929975
See Appendix: Full HDP Chains for full list of HDP chains.
Deep Constraint Pair Analysis
Time used: 0:00:00.000014
List of important HDP chains detected for D4,E5: 1..:
* DIS # E5: 1 # G3: 2,7 => CTR => G3: 1,3,4,6 * DIS # E5: 1 + G3: 1,3,4,6 # D2: 2,9 => CTR => D2: 1,3,4 * CNT 2 HDP CHAINS / 71 HYP OPENED
List of important HDP chains detected for C4,I4: 8..:
* DIS # C4: 8 # H8: 1,6 => CTR => H8: 5,7 * PRF # I4: 8 # B4: 1,2 => SOL * STA # I4: 8 + B4: 1,2 * CNT 2 HDP CHAINS / 39 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
| 98.7.....76....8....5......4...9..3...68..5.......2..1..75..9......3...4.....1.2. | initial |
| 98.7.....76....8....5......4...9..3...68..5.......2..1..75..9......3...4.....1.2. | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * PAIRS (1) D4: 1,6 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) D4,E5: 1.. / D4 = 1 => 2 pairs (_) / E5 = 1 => 6 pairs (_) E7,D8: 2.. / E7 = 2 => 2 pairs (_) / D8 = 2 => 1 pairs (_) F5,D6: 3.. / F5 = 3 => 3 pairs (_) / D6 = 3 => 4 pairs (_) F4,E6: 5.. / F4 = 5 => 1 pairs (_) / E6 = 5 => 3 pairs (_) H8,I9: 5.. / H8 = 5 => 1 pairs (_) / I9 = 5 => 1 pairs (_) B4,F4: 5.. / B4 = 5 => 3 pairs (_) / F4 = 5 => 1 pairs (_) F8,E9: 7.. / F8 = 7 => 4 pairs (_) / E9 = 7 => 3 pairs (_) E3,F3: 8.. / E3 = 8 => 1 pairs (_) / F3 = 8 => 2 pairs (_) I4,H6: 8.. / I4 = 8 => 3 pairs (_) / H6 = 8 => 4 pairs (_) C4,I4: 8.. / C4 = 8 => 4 pairs (_) / I4 = 8 => 3 pairs (_) * DURATION: 0:00:05.929246 START: 04:59:31.911045 END: 04:59:37.840291 2020-10-17 * CP COUNT: (10) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) D4,E5: 1.. / D4 = 1 ==> 2 pairs (_) / E5 = 1 ==> 6 pairs (_) C4,I4: 8.. / C4 = 8 ==> 5 pairs (_) / I4 = 8 ==> 0 pairs (*) * DURATION: 0:00:51.683855 START: 04:59:47.587068 END: 05:00:39.270923 2020-10-17 * REASONING D4,E5: 1.. * DIS # E5: 1 # G3: 2,7 => CTR => G3: 1,3,4,6 * DIS # E5: 1 + G3: 1,3,4,6 # D2: 2,9 => CTR => D2: 1,3,4 * CNT 2 HDP CHAINS / 71 HYP OPENED * REASONING C4,I4: 8.. * DIS # C4: 8 # H8: 1,6 => CTR => H8: 5,7 * PRF # I4: 8 # B4: 1,2 => SOL * STA # I4: 8 + B4: 1,2 * CNT 2 HDP CHAINS / 39 HYP OPENED * DCP COUNT: (2) * SOLUTION FOUND
Header Info
283;H46;GP;22;11.40;11.40;10.60
Appendix: Full HDP Chains
A1. Pair Reduction Analysis
Full list of HDP chains traversed:
* INC # D3: 1,6 => UNS * INC # D3: 2,3,4,9 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # D3: 1,6 => UNS * INC # D3: 2,3,4,9 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # D3: 1,6 => UNS * INC # D3: 2,3,4,9 => UNS * INC # D3: 1,6 # E1: 1,6 => UNS * INC # D3: 1,6 # E3: 1,6 => UNS * INC # D3: 1,6 # G3: 1,6 => UNS * INC # D3: 1,6 # H3: 1,6 => UNS * INC # D3: 1,6 # F5: 3,4 => UNS * INC # D3: 1,6 # F5: 7 => UNS * INC # D3: 1,6 # D2: 3,4 => UNS * INC # D3: 1,6 # D2: 2,9 => UNS * INC # D3: 1,6 # B8: 2,9 => UNS * INC # D3: 1,6 # C8: 2,9 => UNS * INC # D3: 1,6 # D2: 2,9 => UNS * INC # D3: 1,6 # D2: 3,4 => UNS * INC # D3: 1,6 # B9: 4,9 => UNS * INC # D3: 1,6 # C9: 4,9 => UNS * INC # D3: 1,6 # D2: 4,9 => UNS * INC # D3: 1,6 # D2: 2,3 => UNS * INC # D3: 1,6 => UNS * INC # D3: 2,3,4,9 => UNS * CNT 20 HDP CHAINS / 20 HYP OPENED
A4. Deep Constraint Pair Analysis
Full list of HDP chains traversed for D4,E5: 1..:
* INC # E5: 1 # B5: 2,3 => UNS * INC # E5: 1 # B5: 7,9 => UNS * INC # E5: 1 # A3: 2,3 => UNS * INC # E5: 1 # A7: 2,3 => UNS * INC # E5: 1 # E6: 5,7 => UNS * INC # E5: 1 # E6: 4 => UNS * INC # E5: 1 # B4: 5,7 => UNS * INC # E5: 1 # B4: 1,2 => UNS * INC # E5: 1 # F5: 3,4 => UNS * INC # E5: 1 # F5: 7 => UNS * INC # E5: 1 # D2: 3,4 => UNS * INC # E5: 1 # D3: 3,4 => UNS * INC # E5: 1 # I4: 2,7 => UNS * INC # E5: 1 # I5: 2,7 => UNS * INC # E5: 1 # B4: 2,7 => UNS * INC # E5: 1 # B4: 1,5 => UNS * DIS # E5: 1 # G3: 2,7 => CTR => G3: 1,3,4,6 * INC # E5: 1 + G3: 1,3,4,6 # I4: 2,7 => UNS * INC # E5: 1 + G3: 1,3,4,6 # I5: 2,7 => UNS * INC # E5: 1 + G3: 1,3,4,6 # B4: 2,7 => UNS * INC # E5: 1 + G3: 1,3,4,6 # B4: 1,5 => UNS * INC # E5: 1 + G3: 1,3,4,6 # B8: 2,9 => UNS * INC # E5: 1 + G3: 1,3,4,6 # C8: 2,9 => UNS * DIS # E5: 1 + G3: 1,3,4,6 # D2: 2,9 => CTR => D2: 1,3,4 * INC # E5: 1 + G3: 1,3,4,6 + D2: 1,3,4 # D3: 2,9 => UNS * INC # E5: 1 + G3: 1,3,4,6 + D2: 1,3,4 # D3: 2,9 => UNS * INC # E5: 1 + G3: 1,3,4,6 + D2: 1,3,4 # D3: 1,3,4 => UNS * INC # E5: 1 + G3: 1,3,4,6 + D2: 1,3,4 # B8: 2,9 => UNS * INC # E5: 1 + G3: 1,3,4,6 + D2: 1,3,4 # C8: 2,9 => UNS * INC # E5: 1 + G3: 1,3,4,6 + D2: 1,3,4 # D3: 2,9 => UNS * INC # E5: 1 + G3: 1,3,4,6 + D2: 1,3,4 # D3: 1,3,4 => UNS * INC # E5: 1 + G3: 1,3,4,6 + D2: 1,3,4 # B9: 4,9 => UNS * INC # E5: 1 + G3: 1,3,4,6 + D2: 1,3,4 # C9: 4,9 => UNS * INC # E5: 1 + G3: 1,3,4,6 + D2: 1,3,4 # D3: 4,9 => UNS * INC # E5: 1 + G3: 1,3,4,6 + D2: 1,3,4 # D3: 1,2,3 => UNS * INC # E5: 1 + G3: 1,3,4,6 + D2: 1,3,4 # B5: 2,3 => UNS * INC # E5: 1 + G3: 1,3,4,6 + D2: 1,3,4 # B5: 7,9 => UNS * INC # E5: 1 + G3: 1,3,4,6 + D2: 1,3,4 # A3: 2,3 => UNS * INC # E5: 1 + G3: 1,3,4,6 + D2: 1,3,4 # A7: 2,3 => UNS * INC # E5: 1 + G3: 1,3,4,6 + D2: 1,3,4 # E6: 5,7 => UNS * INC # E5: 1 + G3: 1,3,4,6 + D2: 1,3,4 # E6: 4 => UNS * INC # E5: 1 + G3: 1,3,4,6 + D2: 1,3,4 # B4: 5,7 => UNS * INC # E5: 1 + G3: 1,3,4,6 + D2: 1,3,4 # B4: 1,2 => UNS * INC # E5: 1 + G3: 1,3,4,6 + D2: 1,3,4 # F5: 3,4 => UNS * INC # E5: 1 + G3: 1,3,4,6 + D2: 1,3,4 # F5: 7 => UNS * INC # E5: 1 + G3: 1,3,4,6 + D2: 1,3,4 # D2: 3,4 => UNS * INC # E5: 1 + G3: 1,3,4,6 + D2: 1,3,4 # D3: 3,4 => UNS * INC # E5: 1 + G3: 1,3,4,6 + D2: 1,3,4 # I4: 2,7 => UNS * INC # E5: 1 + G3: 1,3,4,6 + D2: 1,3,4 # I5: 2,7 => UNS * INC # E5: 1 + G3: 1,3,4,6 + D2: 1,3,4 # B4: 2,7 => UNS * INC # E5: 1 + G3: 1,3,4,6 + D2: 1,3,4 # B4: 1,5 => UNS * INC # E5: 1 + G3: 1,3,4,6 + D2: 1,3,4 # B8: 2,9 => UNS * INC # E5: 1 + G3: 1,3,4,6 + D2: 1,3,4 # C8: 2,9 => UNS * INC # E5: 1 + G3: 1,3,4,6 + D2: 1,3,4 # D3: 2,9 => UNS * INC # E5: 1 + G3: 1,3,4,6 + D2: 1,3,4 # D3: 1,3,4 => UNS * INC # E5: 1 + G3: 1,3,4,6 + D2: 1,3,4 # B9: 4,9 => UNS * INC # E5: 1 + G3: 1,3,4,6 + D2: 1,3,4 # C9: 4,9 => UNS * INC # E5: 1 + G3: 1,3,4,6 + D2: 1,3,4 # D3: 4,9 => UNS * INC # E5: 1 + G3: 1,3,4,6 + D2: 1,3,4 # D3: 1,2,3 => UNS * INC # E5: 1 + G3: 1,3,4,6 + D2: 1,3,4 => UNS * INC # D4: 1 # I4: 2,8 => UNS * INC # D4: 1 # I4: 6,7 => UNS * INC # D4: 1 # C8: 2,8 => UNS * INC # D4: 1 # C8: 1,9 => UNS * INC # D4: 1 # F5: 4,7 => UNS * INC # D4: 1 # E6: 4,7 => UNS * INC # D4: 1 # H5: 4,7 => UNS * INC # D4: 1 # H5: 9 => UNS * INC # D4: 1 # E9: 4,7 => UNS * INC # D4: 1 # E9: 6,8 => UNS * INC # D4: 1 => UNS * CNT 71 HDP CHAINS / 71 HYP OPENED
Full list of HDP chains traversed for C4,I4: 8..:
* INC # C4: 8 # B6: 3,5 => UNS * INC # C4: 8 # B6: 7,9 => UNS * INC # C4: 8 # A9: 3,5 => UNS * INC # C4: 8 # A9: 6,8 => UNS * INC # C4: 8 # B6: 3,9 => UNS * INC # C4: 8 # B6: 5,7 => UNS * INC # C4: 8 # C9: 3,9 => UNS * INC # C4: 8 # C9: 4 => UNS * INC # C4: 8 # D3: 1,6 => UNS * INC # C4: 8 # D3: 2,3,4,9 => UNS * INC # C4: 8 # G8: 1,6 => UNS * DIS # C4: 8 # H8: 1,6 => CTR => H8: 5,7 * INC # C4: 8 + H8: 5,7 # G8: 1,6 => UNS * INC # C4: 8 + H8: 5,7 # G8: 7 => UNS * INC # C4: 8 + H8: 5,7 # A7: 1,6 => UNS * INC # C4: 8 + H8: 5,7 # A7: 2,3,8 => UNS * INC # C4: 8 + H8: 5,7 # H1: 1,6 => UNS * INC # C4: 8 + H8: 5,7 # H3: 1,6 => UNS * INC # C4: 8 + H8: 5,7 # B6: 3,5 => UNS * INC # C4: 8 + H8: 5,7 # B6: 7,9 => UNS * INC # C4: 8 + H8: 5,7 # A9: 3,5 => UNS * INC # C4: 8 + H8: 5,7 # A9: 6,8 => UNS * INC # C4: 8 + H8: 5,7 # B6: 3,9 => UNS * INC # C4: 8 + H8: 5,7 # B6: 5,7 => UNS * INC # C4: 8 + H8: 5,7 # C9: 3,9 => UNS * INC # C4: 8 + H8: 5,7 # C9: 4 => UNS * INC # C4: 8 + H8: 5,7 # D3: 1,6 => UNS * INC # C4: 8 + H8: 5,7 # D3: 2,3,4,9 => UNS * INC # C4: 8 + H8: 5,7 # G8: 1,6 => UNS * INC # C4: 8 + H8: 5,7 # G8: 7 => UNS * INC # C4: 8 + H8: 5,7 # A7: 1,6 => UNS * INC # C4: 8 + H8: 5,7 # A7: 2,3,8 => UNS * INC # C4: 8 + H8: 5,7 # H1: 1,6 => UNS * INC # C4: 8 + H8: 5,7 # H3: 1,6 => UNS * INC # C4: 8 + H8: 5,7 # I9: 5,7 => UNS * INC # C4: 8 + H8: 5,7 # I9: 3,6,8 => UNS * INC # C4: 8 + H8: 5,7 => UNS * PRF # I4: 8 # B4: 1,2 => SOL * STA # I4: 8 + B4: 1,2 * CNT 38 HDP CHAINS / 39 HYP OPENED