Analysis of xx-ph-00021692-KZ1C-base.sdk
Original Sudoku
level: deep
position: 98.7..6..7..........5.8..9.5...4.......6....3.....21...5..9..7...7..32....41....6 initial
Autosolve
position: 98.7..6..7..........5.8..9.5...4.......6....3.....21...5..9..7...7..32....41....6 autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:09.614287
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 E2,E8: 6..:
* DIS # E2: 6 # D2: 2,3 => CTR => D2: 5,9 * DIS # E2: 6 + D2: 5,9 # I3: 1,4 => CTR => I3: 2,7 * DIS # E2: 6 + D2: 5,9 + I3: 2,7 # B6: 4 => CTR => B6: 3,7 * DIS # E2: 6 + D2: 5,9 + I3: 2,7 + B6: 3,7 # D7: 2 => CTR => D7: 4,8 * PRF # E2: 6 + D2: 5,9 + I3: 2,7 + B6: 3,7 + D7: 4,8 # H8: 4,8 => SOL * STA # E2: 6 + D2: 5,9 + I3: 2,7 + B6: 3,7 + D7: 4,8 + H8: 4,8 * CNT 5 HDP CHAINS / 19 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..6..7..........5.8..9.5...4.......6....3.....21...5..9..7...7..32....41....6 | initial |
| 98.7..6..7..........5.8..9.5...4.......6....3.....21...5..9..7...7..32....41....6 | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * PAIRS (1) E8: 5,6 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) D7,E9: 2.. / D7 = 2 => 3 pairs (_) / E9 = 2 => 4 pairs (_) H4,H6: 6.. / H4 = 6 => 1 pairs (_) / H6 = 6 => 2 pairs (_) F7,E8: 6.. / F7 = 6 => 7 pairs (_) / E8 = 6 => 3 pairs (_) E2,E8: 6.. / E2 = 6 => 7 pairs (_) / E8 = 6 => 3 pairs (_) G3,I3: 7.. / G3 = 7 => 2 pairs (_) / I3 = 7 => 2 pairs (_) E9,F9: 7.. / E9 = 7 => 5 pairs (_) / F9 = 7 => 2 pairs (_) D2,F2: 9.. / D2 = 9 => 2 pairs (_) / F2 = 9 => 1 pairs (_) B8,B9: 9.. / B8 = 9 => 3 pairs (_) / B9 = 9 => 2 pairs (_) I8,G9: 9.. / I8 = 9 => 2 pairs (_) / G9 = 9 => 3 pairs (_) B8,I8: 9.. / B8 = 9 => 3 pairs (_) / I8 = 9 => 2 pairs (_) B9,G9: 9.. / B9 = 9 => 2 pairs (_) / G9 = 9 => 3 pairs (_) * DURATION: 0:00:06.542544 START: 13:35:45.028237 END: 13:35:51.570781 2020-12-07 * CP COUNT: (11) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) E2,E8: 6.. / E2 = 6 ==> 0 pairs (*) / E8 = 6 => 0 pairs (X) * DURATION: 0:00:17.630830 START: 13:36:02.922259 END: 13:36:20.553089 2020-12-07 * REASONING E2,E8: 6.. * DIS # E2: 6 # D2: 2,3 => CTR => D2: 5,9 * DIS # E2: 6 + D2: 5,9 # I3: 1,4 => CTR => I3: 2,7 * DIS # E2: 6 + D2: 5,9 + I3: 2,7 # B6: 4 => CTR => B6: 3,7 * DIS # E2: 6 + D2: 5,9 + I3: 2,7 + B6: 3,7 # D7: 2 => CTR => D7: 4,8 * PRF # E2: 6 + D2: 5,9 + I3: 2,7 + B6: 3,7 + D7: 4,8 # H8: 4,8 => SOL * STA # E2: 6 + D2: 5,9 + I3: 2,7 + B6: 3,7 + D7: 4,8 + H8: 4,8 * CNT 5 HDP CHAINS / 19 HYP OPENED * DCP COUNT: (1) * SOLUTION FOUND
Header Info
21692;KZ1C;GP;23;11.30;11.30;2.60
Appendix: Full HDP Chains
A1. Pair Reduction Analysis
Full list of HDP chains traversed:
* INC # E2: 5,6 => UNS * INC # E2: 1,2,3 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # E2: 5,6 => UNS * INC # E2: 1,2,3 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # E2: 5,6 => UNS * INC # E2: 1,2,3 => UNS * INC # E2: 5,6 # F2: 5,6 => UNS * INC # E2: 5,6 # F2: 1,4,9 => UNS * INC # E2: 5,6 # F4: 1,7 => UNS * INC # E2: 5,6 # F5: 1,7 => UNS * INC # E2: 5,6 # B5: 1,7 => UNS * INC # E2: 5,6 # B5: 2,4 => UNS * INC # E2: 5,6 # B6: 3,7 => UNS * INC # E2: 5,6 # B6: 4,6 => UNS * INC # E2: 5,6 => UNS * INC # E2: 1,2,3 # A7: 1,8 => UNS * INC # E2: 1,2,3 # C7: 1,8 => UNS * INC # E2: 1,2,3 # H8: 1,8 => UNS * INC # E2: 1,2,3 # I8: 1,8 => UNS * INC # E2: 1,2,3 # A5: 1,8 => UNS * INC # E2: 1,2,3 # A5: 2,4 => UNS * INC # E2: 1,2,3 # I8: 1,9 => UNS * INC # E2: 1,2,3 # I8: 4,5,8 => UNS * INC # E2: 1,2,3 # D7: 4,8 => UNS * INC # E2: 1,2,3 # D8: 4,8 => UNS * INC # E2: 1,2,3 # G7: 4,8 => UNS * INC # E2: 1,2,3 # I7: 4,8 => UNS * INC # E2: 1,2,3 => UNS * CNT 24 HDP CHAINS / 24 HYP OPENED
A4. Deep Constraint Pair Analysis
Full list of HDP chains traversed for E2,E8: 6..:
* INC # E2: 6 # E1: 2,3 => UNS * DIS # E2: 6 # D2: 2,3 => CTR => D2: 5,9 * INC # E2: 6 + D2: 5,9 # A3: 2,3 => UNS * INC # E2: 6 + D2: 5,9 # B3: 2,3 => UNS * INC # E2: 6 + D2: 5,9 # F1: 1,4 => UNS * INC # E2: 6 + D2: 5,9 # F2: 1,4 => UNS * INC # E2: 6 + D2: 5,9 # A3: 1,4 => UNS * INC # E2: 6 + D2: 5,9 # B3: 1,4 => UNS * DIS # E2: 6 + D2: 5,9 # I3: 1,4 => CTR => I3: 2,7 * INC # E2: 6 + D2: 5,9 + I3: 2,7 # F1: 1,4 => UNS * INC # E2: 6 + D2: 5,9 + I3: 2,7 # F2: 1,4 => UNS * INC # E2: 6 + D2: 5,9 + I3: 2,7 # A3: 1,4 => UNS * INC # E2: 6 + D2: 5,9 + I3: 2,7 # B3: 1,4 => UNS * INC # E2: 6 + D2: 5,9 + I3: 2,7 # B6: 3,7 => UNS * DIS # E2: 6 + D2: 5,9 + I3: 2,7 # B6: 4 => CTR => B6: 3,7 * INC # E2: 6 + D2: 5,9 + I3: 2,7 + B6: 3,7 # D7: 4,8 => UNS * DIS # E2: 6 + D2: 5,9 + I3: 2,7 + B6: 3,7 # D7: 2 => CTR => D7: 4,8 * PRF # E2: 6 + D2: 5,9 + I3: 2,7 + B6: 3,7 + D7: 4,8 # H8: 4,8 => SOL * STA # E2: 6 + D2: 5,9 + I3: 2,7 + B6: 3,7 + D7: 4,8 + H8: 4,8 * CNT 18 HDP CHAINS / 19 HYP OPENED