Analysis of xx-ph-00000330-L22-base.sdk
Original Sudoku
level: deep
position: 1....6.......892.....3...4.2...9.6...3.6....7..4....5...57...6..........8....21.. initial
Autosolve
position: 1....6.......892.....3...4.2...9.6...3.6....7..4....5...57...6..........8....21.. autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:12.144449
See Appendix: Full HDP Chains for full list of HDP chains.
Deep Constraint Pair Analysis
Time used: 0:00:00.000017
List of important HDP chains detected for D1,D6: 2..:
* PRF # D6: 2 # E1: 4,5 => SOL * STA # D6: 2 + E1: 4,5 * CNT 1 HDP CHAINS / 13 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....6.......892.....3...4.2...9.6...3.6....7..4....5...57...6..........8....21.. | initial |
| 1....6.......892.....3...4.2...9.6...3.6....7..4....5...57...6..........8....21.. | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * PAIRS (1) A5: 5,9 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) H5,I6: 2.. / H5 = 2 => 1 pairs (_) / I6 = 2 => 2 pairs (_) E5,H5: 2.. / E5 = 2 => 2 pairs (_) / H5 = 2 => 1 pairs (_) B7,I7: 2.. / B7 = 2 => 1 pairs (_) / I7 = 2 => 1 pairs (_) D1,D6: 2.. / D1 = 2 => 2 pairs (_) / D6 = 2 => 2 pairs (_) H5,H8: 2.. / H5 = 2 => 1 pairs (_) / H8 = 2 => 2 pairs (_) I4,G5: 4.. / I4 = 4 => 2 pairs (_) / G5 = 4 => 1 pairs (_) B4,A5: 5.. / B4 = 5 => 4 pairs (_) / A5 = 5 => 0 pairs (_) I2,I3: 6.. / I2 = 6 => 2 pairs (_) / I3 = 6 => 2 pairs (_) A6,B6: 6.. / A6 = 6 => 1 pairs (_) / B6 = 6 => 2 pairs (_) E8,E9: 6.. / E8 = 6 => 1 pairs (_) / E9 = 6 => 1 pairs (_) D8,D9: 9.. / D8 = 9 => 2 pairs (_) / D9 = 9 => 2 pairs (_) * DURATION: 0:00:07.429780 START: 15:51:29.354947 END: 15:51:36.784727 2020-10-17 * CP COUNT: (11) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) B4,A5: 5.. / B4 = 5 ==> 4 pairs (_) / A5 = 5 ==> 0 pairs (_) D8,D9: 9.. / D8 = 9 ==> 2 pairs (_) / D9 = 9 ==> 2 pairs (_) I2,I3: 6.. / I2 = 6 ==> 2 pairs (_) / I3 = 6 ==> 2 pairs (_) D1,D6: 2.. / D1 = 2 ==> 2 pairs (_) / D6 = 2 ==> 0 pairs (*) * DURATION: 0:00:41.369805 START: 15:51:50.667808 END: 15:52:32.037613 2020-10-17 * REASONING D1,D6: 2.. * PRF # D6: 2 # E1: 4,5 => SOL * STA # D6: 2 + E1: 4,5 * CNT 1 HDP CHAINS / 13 HYP OPENED * DCP COUNT: (4) * SOLUTION FOUND
Header Info
330;L22;elev;21;11.40;11.40;9.90
Appendix: Full HDP Chains
A1. Pair Reduction Analysis
Full list of HDP chains traversed:
* INC # A3: 5,9 => UNS * INC # A3: 6,7 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # A3: 5,9 => UNS * INC # A3: 6,7 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # A3: 5,9 => UNS * INC # A3: 6,7 => UNS * INC # A3: 5,9 # B1: 5,9 => UNS * INC # A3: 5,9 # B3: 5,9 => UNS * INC # A3: 5,9 # G3: 5,9 => UNS * INC # A3: 5,9 # I3: 5,9 => UNS * INC # A3: 5,9 # B6: 6,7 => UNS * INC # A3: 5,9 # B6: 1,8,9 => UNS * INC # A3: 5,9 # A2: 6,7 => UNS * INC # A3: 5,9 # A8: 6,7 => UNS * INC # A3: 5,9 # A8: 3,4 => UNS * INC # A3: 5,9 # A8: 6,7 => UNS * INC # A3: 5,9 # E7: 3,4 => UNS * INC # A3: 5,9 # F7: 3,4 => UNS * INC # A3: 5,9 # G7: 3,4 => UNS * INC # A3: 5,9 # I7: 3,4 => UNS * INC # A3: 5,9 # A2: 3,4 => UNS * INC # A3: 5,9 # A2: 6,7 => UNS * INC # A3: 5,9 => UNS * INC # A3: 6,7 # A2: 6,7 => UNS * INC # A3: 6,7 # B2: 6,7 => UNS * INC # A3: 6,7 # C2: 6,7 => UNS * INC # A3: 6,7 # B3: 6,7 => UNS * INC # A3: 6,7 # C3: 6,7 => UNS * INC # A3: 6,7 # A6: 6,7 => UNS * INC # A3: 6,7 # A8: 6,7 => UNS * INC # A3: 6,7 => UNS * CNT 27 HDP CHAINS / 27 HYP OPENED
A4. Deep Constraint Pair Analysis
Full list of HDP chains traversed for B4,A5: 5..:
* INC # B4: 5 # C4: 1,8 => UNS * INC # B4: 5 # B6: 1,8 => UNS * INC # B4: 5 # F5: 1,8 => UNS * INC # B4: 5 # H5: 1,8 => UNS * INC # B4: 5 # B6: 6,7 => UNS * INC # B4: 5 # B6: 1,8 => UNS * INC # B4: 5 # A2: 6,7 => UNS * INC # B4: 5 # A3: 6,7 => UNS * INC # B4: 5 # A8: 6,7 => UNS * INC # B4: 5 # I4: 4,8 => UNS * INC # B4: 5 # I4: 1,3 => UNS * INC # B4: 5 # F5: 4,8 => UNS * INC # B4: 5 # F5: 1,5 => UNS * INC # B4: 5 # G7: 4,8 => UNS * INC # B4: 5 # G8: 4,8 => UNS * INC # B4: 5 # A8: 3,4 => UNS * INC # B4: 5 # A8: 6,7 => UNS * INC # B4: 5 # E7: 3,4 => UNS * INC # B4: 5 # F7: 3,4 => UNS * INC # B4: 5 # G7: 3,4 => UNS * INC # B4: 5 # I7: 3,4 => UNS * INC # B4: 5 # A2: 3,4 => UNS * INC # B4: 5 # A2: 5,6,7 => UNS * INC # B4: 5 => UNS * INC # A5: 5 => UNS * CNT 25 HDP CHAINS / 25 HYP OPENED
Full list of HDP chains traversed for D8,D9: 9..:
* INC # D8: 9 # A3: 5,9 => UNS * INC # D8: 9 # A3: 6,7 => UNS * INC # D8: 9 # E8: 4,5 => UNS * INC # D8: 9 # F8: 4,5 => UNS * INC # D8: 9 # E9: 4,5 => UNS * INC # D8: 9 # I9: 4,5 => UNS * INC # D8: 9 # I9: 3,9 => UNS * INC # D8: 9 # D1: 4,5 => UNS * INC # D8: 9 # D2: 4,5 => UNS * INC # D8: 9 # D4: 4,5 => UNS * INC # D8: 9 => UNS * INC # D9: 9 # A3: 5,9 => UNS * INC # D9: 9 # A3: 6,7 => UNS * INC # D9: 9 # G8: 3,7 => UNS * INC # D9: 9 # H8: 3,7 => UNS * INC # D9: 9 # C9: 3,7 => UNS * INC # D9: 9 # C9: 6 => UNS * INC # D9: 9 # H1: 3,7 => UNS * INC # D9: 9 # H2: 3,7 => UNS * INC # D9: 9 => UNS * CNT 20 HDP CHAINS / 20 HYP OPENED
Full list of HDP chains traversed for I2,I3: 6..:
* INC # I2: 6 # C1: 3,7 => UNS * INC # I2: 6 # A2: 3,7 => UNS * INC # I2: 6 # H2: 3,7 => UNS * INC # I2: 6 # H2: 1 => UNS * INC # I2: 6 # C8: 3,7 => UNS * INC # I2: 6 # C9: 3,7 => UNS * INC # I2: 6 # A3: 5,9 => UNS * INC # I2: 6 # A3: 6,7 => UNS * INC # I2: 6 => UNS * INC # I3: 6 # D1: 4,5 => UNS * INC # I3: 6 # E1: 4,5 => UNS * INC # I3: 6 # A2: 4,5 => UNS * INC # I3: 6 # B2: 4,5 => UNS * INC # I3: 6 # D4: 4,5 => UNS * INC # I3: 6 # D8: 4,5 => UNS * INC # I3: 6 # D9: 4,5 => UNS * INC # I3: 6 # A3: 5,9 => UNS * INC # I3: 6 # A3: 7 => UNS * INC # I3: 6 => UNS * CNT 19 HDP CHAINS / 19 HYP OPENED
Full list of HDP chains traversed for D1,D6: 2..:
* INC # D1: 2 # A3: 5,9 => UNS * INC # D1: 2 # A3: 6,7 => UNS * INC # D1: 2 # D4: 1,8 => UNS * INC # D1: 2 # F4: 1,8 => UNS * INC # D1: 2 # F5: 1,8 => UNS * INC # D1: 2 # F6: 1,8 => UNS * INC # D1: 2 # B6: 1,8 => UNS * INC # D1: 2 # I6: 1,8 => UNS * INC # D1: 2 # D8: 1,8 => UNS * INC # D1: 2 # D8: 4,5,9 => UNS * INC # D1: 2 => UNS * PRF # D6: 2 # E1: 4,5 => SOL * STA # D6: 2 + E1: 4,5 * CNT 12 HDP CHAINS / 13 HYP OPENED