Analysis of xx-ph-00051935-12_10-base.sdk
Original Sudoku
level: deep
position: 98.7.....6...5......4..89..4....76.....3...5.....2...1.4...67....71...3.........2 initial
Autosolve
position: 98.7.....6...5......4..89..4....76.....3...5.....2...1.4...67....71...3.....7...2 autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:09.272193
The following important HDP chains were detected:
* DIS # H3: 2,6 # E1: 1,3 => CTR => E1: 4,6 * CNT 1 HDP CHAINS / 25 HYP OPENED
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 D2,F2: 9..:
* DIS # F2: 9 # E5: 1,4 => CTR => E5: 6,8,9 * DIS # F2: 9 + E5: 6,8,9 # D6: 4,5 => CTR => D6: 6,8,9 * DIS # F2: 9 + E5: 6,8,9 + D6: 6,8,9 # B8: 2,5 => CTR => B8: 6,9 * CNT 3 HDP CHAINS / 54 HYP OPENED
List of important HDP chains detected for E7,F9: 3..:
* DIS # F9: 3 # D7: 8,9 => CTR => D7: 2,5 * DIS # F9: 3 + D7: 2,5 # C7: 8,9 => CTR => C7: 1,2,3,5 * PRF # F9: 3 + D7: 2,5 + C7: 1,2,3,5 # H7: 8,9 => SOL * STA # F9: 3 + D7: 2,5 + C7: 1,2,3,5 + H7: 8,9 * CNT 3 HDP CHAINS / 17 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...5......4..89..4....76.....3...5.....2...1.4...67....71...3.........2 | initial |
| 98.7.....6...5......4..89..4....76.....3...5.....2...1.4...67....71...3.....7...2 | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * PAIRS (1) D3: 2,6 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) H4,G5: 2.. / H4 = 2 => 2 pairs (_) / G5 = 2 => 2 pairs (_) D7,F8: 2.. / D7 = 2 => 2 pairs (_) / F8 = 2 => 2 pairs (_) I4,G6: 3.. / I4 = 3 => 2 pairs (_) / G6 = 3 => 2 pairs (_) E7,F9: 3.. / E7 = 3 => 2 pairs (_) / F9 = 3 => 2 pairs (_) E5,D6: 6.. / E5 = 6 => 1 pairs (_) / D6 = 6 => 2 pairs (_) I8,H9: 6.. / I8 = 6 => 1 pairs (_) / H9 = 6 => 1 pairs (_) B8,I8: 6.. / B8 = 6 => 1 pairs (_) / I8 = 6 => 1 pairs (_) D3,D6: 6.. / D3 = 6 => 1 pairs (_) / D6 = 6 => 2 pairs (_) I5,H6: 7.. / I5 = 7 => 1 pairs (_) / H6 = 7 => 1 pairs (_) D2,F2: 9.. / D2 = 9 => 2 pairs (_) / F2 = 9 => 4 pairs (_) * DURATION: 0:00:05.550579 START: 08:52:39.830621 END: 08:52:45.381200 2020-12-20 * CP COUNT: (10) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) D2,F2: 9.. / D2 = 9 ==> 2 pairs (_) / F2 = 9 ==> 7 pairs (_) E7,F9: 3.. / E7 = 3 ==> 2 pairs (_) / F9 = 3 ==> 0 pairs (*) * DURATION: 0:00:33.862818 START: 08:52:56.242355 END: 08:53:30.105173 2020-12-20 * REASONING D2,F2: 9.. * DIS # F2: 9 # E5: 1,4 => CTR => E5: 6,8,9 * DIS # F2: 9 + E5: 6,8,9 # D6: 4,5 => CTR => D6: 6,8,9 * DIS # F2: 9 + E5: 6,8,9 + D6: 6,8,9 # B8: 2,5 => CTR => B8: 6,9 * CNT 3 HDP CHAINS / 54 HYP OPENED * REASONING E7,F9: 3.. * DIS # F9: 3 # D7: 8,9 => CTR => D7: 2,5 * DIS # F9: 3 + D7: 2,5 # C7: 8,9 => CTR => C7: 1,2,3,5 * PRF # F9: 3 + D7: 2,5 + C7: 1,2,3,5 # H7: 8,9 => SOL * STA # F9: 3 + D7: 2,5 + C7: 1,2,3,5 + H7: 8,9 * CNT 3 HDP CHAINS / 17 HYP OPENED * DCP COUNT: (2) * SOLUTION FOUND
Header Info
51935;12_10;GP;22;11.30;1.20;1.20
Appendix: Full HDP Chains
A1. Pair Reduction Analysis
Full list of HDP chains traversed:
* INC # H3: 2,6 => UNS * INC # H3: 1,7 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # H3: 2,6 => UNS * INC # H3: 1,7 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # H3: 2,6 => UNS * INC # H3: 1,7 => UNS * DIS # H3: 2,6 # E1: 1,3 => CTR => E1: 4,6 * INC # H3: 2,6 + E1: 4,6 # F1: 1,3 => UNS * INC # H3: 2,6 + E1: 4,6 # F2: 1,3 => UNS * INC # H3: 2,6 + E1: 4,6 # A3: 1,3 => UNS * INC # H3: 2,6 + E1: 4,6 # B3: 1,3 => UNS * INC # H3: 2,6 + E1: 4,6 # H1: 2,6 => UNS * INC # H3: 2,6 + E1: 4,6 # H1: 1,4 => UNS * INC # H3: 2,6 + E1: 4,6 # H1: 4,6 => UNS * INC # H3: 2,6 + E1: 4,6 # I1: 4,6 => UNS * INC # H3: 2,6 + E1: 4,6 # E5: 4,6 => UNS * INC # H3: 2,6 + E1: 4,6 # E5: 1,8,9 => UNS * INC # H3: 2,6 + E1: 4,6 # F1: 1,3 => UNS * INC # H3: 2,6 + E1: 4,6 # F2: 1,3 => UNS * INC # H3: 2,6 + E1: 4,6 # A3: 1,3 => UNS * INC # H3: 2,6 + E1: 4,6 # B3: 1,3 => UNS * INC # H3: 2,6 + E1: 4,6 # H1: 2,6 => UNS * INC # H3: 2,6 + E1: 4,6 # H1: 1,4 => UNS * INC # H3: 2,6 + E1: 4,6 => UNS * INC # H3: 1,7 # H2: 1,7 => UNS * INC # H3: 1,7 # H2: 2,4,8 => UNS * INC # H3: 1,7 # A3: 1,7 => UNS * INC # H3: 1,7 # B3: 1,7 => UNS * INC # H3: 1,7 => UNS * CNT 25 HDP CHAINS / 25 HYP OPENED
A4. Deep Constraint Pair Analysis
Full list of HDP chains traversed for D2,F2: 9..:
* INC # F2: 9 # F1: 2,4 => UNS * INC # F2: 9 # F1: 1,3 => UNS * INC # F2: 9 # G2: 2,4 => UNS * INC # F2: 9 # H2: 2,4 => UNS * INC # F2: 9 # H3: 2,6 => UNS * INC # F2: 9 # H3: 1,7 => UNS * DIS # F2: 9 # E5: 1,4 => CTR => E5: 6,8,9 * INC # F2: 9 + E5: 6,8,9 # F1: 1,4 => UNS * INC # F2: 9 + E5: 6,8,9 # F1: 2,3 => UNS * DIS # F2: 9 + E5: 6,8,9 # D6: 4,5 => CTR => D6: 6,8,9 * INC # F2: 9 + E5: 6,8,9 + D6: 6,8,9 # G2: 2,4 => UNS * INC # F2: 9 + E5: 6,8,9 + D6: 6,8,9 # H2: 2,4 => UNS * INC # F2: 9 + E5: 6,8,9 + D6: 6,8,9 # H3: 2,6 => UNS * INC # F2: 9 + E5: 6,8,9 + D6: 6,8,9 # H3: 1,7 => UNS * INC # F2: 9 + E5: 6,8,9 + D6: 6,8,9 # D7: 2,5 => UNS * INC # F2: 9 + E5: 6,8,9 + D6: 6,8,9 # D7: 8,9 => UNS * INC # F2: 9 + E5: 6,8,9 + D6: 6,8,9 # A8: 2,5 => UNS * DIS # F2: 9 + E5: 6,8,9 + D6: 6,8,9 # B8: 2,5 => CTR => B8: 6,9 * INC # F2: 9 + E5: 6,8,9 + D6: 6,8,9 + B8: 6,9 # A8: 2,5 => UNS * INC # F2: 9 + E5: 6,8,9 + D6: 6,8,9 + B8: 6,9 # A8: 8 => UNS * INC # F2: 9 + E5: 6,8,9 + D6: 6,8,9 + B8: 6,9 # D7: 2,5 => UNS * INC # F2: 9 + E5: 6,8,9 + D6: 6,8,9 + B8: 6,9 # D7: 8,9 => UNS * INC # F2: 9 + E5: 6,8,9 + D6: 6,8,9 + B8: 6,9 # A8: 2,5 => UNS * INC # F2: 9 + E5: 6,8,9 + D6: 6,8,9 + B8: 6,9 # A8: 8 => UNS * INC # F2: 9 + E5: 6,8,9 + D6: 6,8,9 + B8: 6,9 # A9: 3,5 => UNS * INC # F2: 9 + E5: 6,8,9 + D6: 6,8,9 + B8: 6,9 # B9: 3,5 => UNS * INC # F2: 9 + E5: 6,8,9 + D6: 6,8,9 + B8: 6,9 # C9: 3,5 => UNS * INC # F2: 9 + E5: 6,8,9 + D6: 6,8,9 + B8: 6,9 # G2: 2,4 => UNS * INC # F2: 9 + E5: 6,8,9 + D6: 6,8,9 + B8: 6,9 # H2: 2,4 => UNS * INC # F2: 9 + E5: 6,8,9 + D6: 6,8,9 + B8: 6,9 # H3: 2,6 => UNS * INC # F2: 9 + E5: 6,8,9 + D6: 6,8,9 + B8: 6,9 # H3: 1,7 => UNS * INC # F2: 9 + E5: 6,8,9 + D6: 6,8,9 + B8: 6,9 # B9: 6,9 => UNS * INC # F2: 9 + E5: 6,8,9 + D6: 6,8,9 + B8: 6,9 # C9: 6,9 => UNS * INC # F2: 9 + E5: 6,8,9 + D6: 6,8,9 + B8: 6,9 # I8: 6,9 => UNS * INC # F2: 9 + E5: 6,8,9 + D6: 6,8,9 + B8: 6,9 # I8: 4,5,8 => UNS * INC # F2: 9 + E5: 6,8,9 + D6: 6,8,9 + B8: 6,9 # B5: 6,9 => UNS * INC # F2: 9 + E5: 6,8,9 + D6: 6,8,9 + B8: 6,9 # B6: 6,9 => UNS * INC # F2: 9 + E5: 6,8,9 + D6: 6,8,9 + B8: 6,9 # D7: 2,5 => UNS * INC # F2: 9 + E5: 6,8,9 + D6: 6,8,9 + B8: 6,9 # D7: 8,9 => UNS * INC # F2: 9 + E5: 6,8,9 + D6: 6,8,9 + B8: 6,9 # A8: 2,5 => UNS * INC # F2: 9 + E5: 6,8,9 + D6: 6,8,9 + B8: 6,9 # A8: 8 => UNS * INC # F2: 9 + E5: 6,8,9 + D6: 6,8,9 + B8: 6,9 # A9: 3,5 => UNS * INC # F2: 9 + E5: 6,8,9 + D6: 6,8,9 + B8: 6,9 # B9: 3,5 => UNS * INC # F2: 9 + E5: 6,8,9 + D6: 6,8,9 + B8: 6,9 # C9: 3,5 => UNS * INC # F2: 9 + E5: 6,8,9 + D6: 6,8,9 + B8: 6,9 => UNS * INC # D2: 9 # H3: 2,6 => UNS * INC # D2: 9 # H3: 1,7 => UNS * INC # D2: 9 # D6: 5,8 => UNS * INC # D2: 9 # D6: 4,6 => UNS * INC # D2: 9 # C4: 5,8 => UNS * INC # D2: 9 # C4: 1,2,3,9 => UNS * INC # D2: 9 # D7: 5,8 => UNS * INC # D2: 9 # D9: 5,8 => UNS * INC # D2: 9 => UNS * CNT 54 HDP CHAINS / 54 HYP OPENED
Full list of HDP chains traversed for E7,F9: 3..:
* INC # E7: 3 # H3: 2,6 => UNS * INC # E7: 3 # H3: 1,7 => UNS * INC # E7: 3 # E1: 1,6 => UNS * INC # E7: 3 # E1: 4 => UNS * INC # E7: 3 # H3: 1,6 => UNS * INC # E7: 3 # H3: 2,7 => UNS * INC # E7: 3 # E5: 1,6 => UNS * INC # E7: 3 # E5: 4,8,9 => UNS * INC # E7: 3 => UNS * INC # F9: 3 # H3: 2,6 => UNS * INC # F9: 3 # H3: 1,7 => UNS * DIS # F9: 3 # D7: 8,9 => CTR => D7: 2,5 * INC # F9: 3 + D7: 2,5 # E8: 8,9 => UNS * INC # F9: 3 + D7: 2,5 # D9: 8,9 => UNS * DIS # F9: 3 + D7: 2,5 # C7: 8,9 => CTR => C7: 1,2,3,5 * PRF # F9: 3 + D7: 2,5 + C7: 1,2,3,5 # H7: 8,9 => SOL * STA # F9: 3 + D7: 2,5 + C7: 1,2,3,5 + H7: 8,9 * CNT 16 HDP CHAINS / 17 HYP OPENED