Analysis of xx-ph-00039297-12_07-base.sdk
Contents
Original Sudoku
level: deep
position: 98.7..6..5...4......3..6.8.3....5.6...64....2....6.1...3...9.5...5.2...1......7.. initial
Autosolve
position: 98.7..6..56..4......3..6.8.3....5.6...64....2....6.1...3...9.5...5.2...1......7.. autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000007
List of important HDP chains detected for E7,F8: 7..:
* DIS # F8: 7 # D9: 1,8 => CTR => D9: 3,5,6 * DIS # F8: 7 + D9: 3,5,6 # E9: 1,8 => CTR => E9: 3,5 * CNT 2 HDP CHAINS / 25 HYP OPENED
List of important HDP chains detected for F8,F9: 4..:
* PRF # F8: 4 # H9: 3,9 => SOL * STA # F8: 4 + H9: 3,9 * CNT 1 HDP CHAINS / 6 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......3..6.8.3....5.6...64....2....6.1...3...9.5...5.2...1......7.. | initial |
| 98.7..6..56..4......3..6.8.3....5.6...64....2....6.1...3...9.5...5.2...1......7.. | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) H1,H2: 1.. / H1 = 1 => 3 pairs (_) / H2 = 1 => 1 pairs (_) G7,H9: 2.. / G7 = 2 => 3 pairs (_) / H9 = 2 => 1 pairs (_) F8,F9: 4.. / F8 = 4 => 2 pairs (_) / F9 = 4 => 0 pairs (_) B5,B6: 5.. / B5 = 5 => 2 pairs (_) / B6 = 5 => 0 pairs (_) G5,I6: 5.. / G5 = 5 => 0 pairs (_) / I6 = 5 => 2 pairs (_) D9,E9: 5.. / D9 = 5 => 0 pairs (_) / E9 = 5 => 2 pairs (_) E1,I1: 5.. / E1 = 5 => 2 pairs (_) / I1 = 5 => 1 pairs (_) B5,G5: 5.. / B5 = 5 => 2 pairs (_) / G5 = 5 => 0 pairs (_) B6,I6: 5.. / B6 = 5 => 0 pairs (_) / I6 = 5 => 2 pairs (_) D3,D9: 5.. / D3 = 5 => 2 pairs (_) / D9 = 5 => 0 pairs (_) G3,G5: 5.. / G3 = 5 => 2 pairs (_) / G5 = 5 => 0 pairs (_) I7,I9: 6.. / I7 = 6 => 1 pairs (_) / I9 = 6 => 1 pairs (_) A8,D8: 6.. / A8 = 6 => 1 pairs (_) / D8 = 6 => 1 pairs (_) E7,F8: 7.. / E7 = 7 => 0 pairs (_) / F8 = 7 => 2 pairs (_) D2,F2: 8.. / D2 = 8 => 2 pairs (_) / F2 = 8 => 0 pairs (_) * DURATION: 0:00:09.416199 START: 01:14:50.791805 END: 01:15:00.208004 2020-12-18 * CP COUNT: (15) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) G7,H9: 2.. / G7 = 2 ==> 3 pairs (_) / H9 = 2 ==> 1 pairs (_) H1,H2: 1.. / H1 = 1 ==> 3 pairs (_) / H2 = 1 ==> 1 pairs (_) E1,I1: 5.. / E1 = 5 ==> 2 pairs (_) / I1 = 5 ==> 1 pairs (_) D2,F2: 8.. / D2 = 8 ==> 2 pairs (_) / F2 = 8 ==> 0 pairs (_) E7,F8: 7.. / E7 = 7 ==> 0 pairs (_) / F8 = 7 ==> 3 pairs (_) G3,G5: 5.. / G3 = 5 ==> 2 pairs (_) / G5 = 5 ==> 0 pairs (_) D3,D9: 5.. / D3 = 5 ==> 2 pairs (_) / D9 = 5 ==> 0 pairs (_) B6,I6: 5.. / B6 = 5 ==> 0 pairs (_) / I6 = 5 ==> 2 pairs (_) B5,G5: 5.. / B5 = 5 ==> 2 pairs (_) / G5 = 5 ==> 0 pairs (_) D9,E9: 5.. / D9 = 5 ==> 0 pairs (_) / E9 = 5 ==> 2 pairs (_) G5,I6: 5.. / G5 = 5 ==> 0 pairs (_) / I6 = 5 ==> 2 pairs (_) B5,B6: 5.. / B5 = 5 ==> 2 pairs (_) / B6 = 5 ==> 0 pairs (_) F8,F9: 4.. / F8 = 4 ==> 0 pairs (*) / F9 = 4 => 0 pairs (X) * DURATION: 0:01:27.109368 START: 01:15:00.208791 END: 01:16:27.318159 2020-12-18 * REASONING E7,F8: 7.. * DIS # F8: 7 # D9: 1,8 => CTR => D9: 3,5,6 * DIS # F8: 7 + D9: 3,5,6 # E9: 1,8 => CTR => E9: 3,5 * CNT 2 HDP CHAINS / 25 HYP OPENED * REASONING F8,F9: 4.. * PRF # F8: 4 # H9: 3,9 => SOL * STA # F8: 4 + H9: 3,9 * CNT 1 HDP CHAINS / 6 HYP OPENED * DCP COUNT: (13) * SOLUTION FOUND
Header Info
39297;12_07;GP;24;11.30;1.20;1.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for G7,H9: 2..:
* INC # G7: 2 # C1: 1,2 => UNS * INC # G7: 2 # F1: 1,2 => UNS * INC # G7: 2 # I2: 3,9 => UNS * INC # G7: 2 # I2: 7 => UNS * INC # G7: 2 # D2: 3,9 => UNS * INC # G7: 2 # D2: 1,2,8 => UNS * INC # G7: 2 # G5: 3,9 => UNS * INC # G7: 2 # G8: 3,9 => UNS * INC # G7: 2 # C2: 1,2 => UNS * INC # G7: 2 # D2: 1,2 => UNS * INC # G7: 2 # F2: 1,2 => UNS * INC # G7: 2 => UNS * INC # H9: 2 # I7: 4,8 => UNS * INC # H9: 2 # G8: 4,8 => UNS * INC # H9: 2 # I9: 4,8 => UNS * INC # H9: 2 # A7: 4,8 => UNS * INC # H9: 2 # C7: 4,8 => UNS * INC # H9: 2 # G4: 4,8 => UNS * INC # H9: 2 # G4: 9 => UNS * INC # H9: 2 => UNS * CNT 20 HDP CHAINS / 20 HYP OPENED
Full list of HDP chains traversed for H1,H2: 1..:
* INC # H1: 1 # A3: 2,4 => UNS * INC # H1: 1 # B3: 2,4 => UNS * INC # H1: 1 # C4: 2,4 => UNS * INC # H1: 1 # C6: 2,4 => UNS * INC # H1: 1 # C7: 2,4 => UNS * INC # H1: 1 # C9: 2,4 => UNS * INC # H1: 1 # I1: 3,5 => UNS * INC # H1: 1 # I1: 4 => UNS * INC # H1: 1 # E9: 3,5 => UNS * INC # H1: 1 # E9: 1,8 => UNS * INC # H1: 1 # D2: 2,3 => UNS * INC # H1: 1 # F2: 2,3 => UNS * INC # H1: 1 # F6: 2,3 => UNS * INC # H1: 1 # F6: 7,8 => UNS * INC # H1: 1 => UNS * INC # H2: 1 # A3: 2,7 => UNS * INC # H2: 1 # B3: 2,7 => UNS * INC # H2: 1 # C4: 2,7 => UNS * INC # H2: 1 # C6: 2,7 => UNS * INC # H2: 1 # C7: 2,7 => UNS * INC # H2: 1 => UNS * CNT 21 HDP CHAINS / 21 HYP OPENED
Full list of HDP chains traversed for E1,I1: 5..:
* INC # E1: 5 # D2: 1,9 => UNS * INC # E1: 5 # D3: 1,9 => UNS * INC # E1: 5 # E4: 1,9 => UNS * INC # E1: 5 # E5: 1,9 => UNS * INC # E1: 5 # H1: 3,4 => UNS * INC # E1: 5 # H1: 1,2 => UNS * INC # E1: 5 # I6: 3,4 => UNS * INC # E1: 5 # I9: 3,4 => UNS * INC # E1: 5 => UNS * INC # I1: 5 # F1: 1,3 => UNS * INC # I1: 5 # D2: 1,3 => UNS * INC # I1: 5 # F2: 1,3 => UNS * INC # I1: 5 # H1: 1,3 => UNS * INC # I1: 5 # H1: 2,4 => UNS * INC # I1: 5 # E5: 1,3 => UNS * INC # I1: 5 # E9: 1,3 => UNS * INC # I1: 5 => UNS * CNT 17 HDP CHAINS / 17 HYP OPENED
Full list of HDP chains traversed for D2,F2: 8..:
* INC # D2: 8 # D9: 1,6 => UNS * INC # D2: 8 # D9: 3,5 => UNS * INC # D2: 8 # A7: 1,6 => UNS * INC # D2: 8 # A7: 2,4,7,8 => UNS * INC # D2: 8 # D9: 3,6 => UNS * INC # D2: 8 # D9: 1,5 => UNS * INC # D2: 8 => UNS * INC # F2: 8 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
Full list of HDP chains traversed for E7,F8: 7..:
* INC # F8: 7 # G8: 4,9 => UNS * INC # F8: 7 # H8: 4,9 => UNS * INC # F8: 7 # B4: 4,9 => UNS * INC # F8: 7 # B6: 4,9 => UNS * INC # F8: 7 # D7: 1,8 => UNS * DIS # F8: 7 # D9: 1,8 => CTR => D9: 3,5,6 * DIS # F8: 7 + D9: 3,5,6 # E9: 1,8 => CTR => E9: 3,5 * INC # F8: 7 + D9: 3,5,6 + E9: 3,5 # D7: 1,8 => UNS * INC # F8: 7 + D9: 3,5,6 + E9: 3,5 # D7: 6 => UNS * INC # F8: 7 + D9: 3,5,6 + E9: 3,5 # E4: 1,8 => UNS * INC # F8: 7 + D9: 3,5,6 + E9: 3,5 # E5: 1,8 => UNS * INC # F8: 7 + D9: 3,5,6 + E9: 3,5 # G8: 4,9 => UNS * INC # F8: 7 + D9: 3,5,6 + E9: 3,5 # H8: 4,9 => UNS * INC # F8: 7 + D9: 3,5,6 + E9: 3,5 # B4: 4,9 => UNS * INC # F8: 7 + D9: 3,5,6 + E9: 3,5 # B6: 4,9 => UNS * INC # F8: 7 + D9: 3,5,6 + E9: 3,5 # D7: 1,8 => UNS * INC # F8: 7 + D9: 3,5,6 + E9: 3,5 # D7: 6 => UNS * INC # F8: 7 + D9: 3,5,6 + E9: 3,5 # E4: 1,8 => UNS * INC # F8: 7 + D9: 3,5,6 + E9: 3,5 # E5: 1,8 => UNS * INC # F8: 7 + D9: 3,5,6 + E9: 3,5 # D9: 3,5 => UNS * INC # F8: 7 + D9: 3,5,6 + E9: 3,5 # D9: 6 => UNS * INC # F8: 7 + D9: 3,5,6 + E9: 3,5 # E1: 3,5 => UNS * INC # F8: 7 + D9: 3,5,6 + E9: 3,5 # E1: 1 => UNS * INC # F8: 7 + D9: 3,5,6 + E9: 3,5 => UNS * INC # E7: 7 => UNS * CNT 25 HDP CHAINS / 25 HYP OPENED
Full list of HDP chains traversed for G3,G5: 5..:
* INC # G3: 5 # D2: 1,9 => UNS * INC # G3: 5 # D3: 1,9 => UNS * INC # G3: 5 # E4: 1,9 => UNS * INC # G3: 5 # E5: 1,9 => UNS * INC # G3: 5 # H1: 3,4 => UNS * INC # G3: 5 # H1: 1,2 => UNS * INC # G3: 5 # I9: 3,4 => UNS * INC # G3: 5 # I9: 6,8,9 => UNS * INC # G3: 5 => UNS * INC # G5: 5 => UNS * CNT 10 HDP CHAINS / 10 HYP OPENED
Full list of HDP chains traversed for D3,D9: 5..:
* INC # D3: 5 # F1: 1,3 => UNS * INC # D3: 5 # D2: 1,3 => UNS * INC # D3: 5 # F2: 1,3 => UNS * INC # D3: 5 # H1: 1,3 => UNS * INC # D3: 5 # H1: 2,4 => UNS * INC # D3: 5 # E5: 1,3 => UNS * INC # D3: 5 # E5: 7,8,9 => UNS * INC # D3: 5 # D2: 1,9 => UNS * INC # D3: 5 # D2: 2,3,8 => UNS * INC # D3: 5 # E4: 1,9 => UNS * INC # D3: 5 # E5: 1,9 => UNS * INC # D3: 5 => UNS * INC # D9: 5 => UNS * CNT 13 HDP CHAINS / 13 HYP OPENED
Full list of HDP chains traversed for B6,I6: 5..:
* INC # I6: 5 # D2: 1,9 => UNS * INC # I6: 5 # D3: 1,9 => UNS * INC # I6: 5 # E4: 1,9 => UNS * INC # I6: 5 # E5: 1,9 => UNS * INC # I6: 5 # H1: 3,4 => UNS * INC # I6: 5 # H1: 1,2 => UNS * INC # I6: 5 # I9: 3,4 => UNS * INC # I6: 5 # I9: 6,8,9 => UNS * INC # I6: 5 => UNS * INC # B6: 5 => UNS * CNT 10 HDP CHAINS / 10 HYP OPENED
Full list of HDP chains traversed for B5,G5: 5..:
* INC # B5: 5 # D2: 1,9 => UNS * INC # B5: 5 # D3: 1,9 => UNS * INC # B5: 5 # E4: 1,9 => UNS * INC # B5: 5 # E5: 1,9 => UNS * INC # B5: 5 # H1: 3,4 => UNS * INC # B5: 5 # H1: 1,2 => UNS * INC # B5: 5 # I9: 3,4 => UNS * INC # B5: 5 # I9: 6,8,9 => UNS * INC # B5: 5 => UNS * INC # G5: 5 => UNS * CNT 10 HDP CHAINS / 10 HYP OPENED
Full list of HDP chains traversed for D9,E9: 5..:
* INC # E9: 5 # F1: 1,3 => UNS * INC # E9: 5 # D2: 1,3 => UNS * INC # E9: 5 # F2: 1,3 => UNS * INC # E9: 5 # H1: 1,3 => UNS * INC # E9: 5 # H1: 2,4 => UNS * INC # E9: 5 # E5: 1,3 => UNS * INC # E9: 5 # E5: 7,8,9 => UNS * INC # E9: 5 # D2: 1,9 => UNS * INC # E9: 5 # D2: 2,3,8 => UNS * INC # E9: 5 # E4: 1,9 => UNS * INC # E9: 5 # E5: 1,9 => UNS * INC # E9: 5 => UNS * INC # D9: 5 => UNS * CNT 13 HDP CHAINS / 13 HYP OPENED
Full list of HDP chains traversed for G5,I6: 5..:
* INC # I6: 5 # D2: 1,9 => UNS * INC # I6: 5 # D3: 1,9 => UNS * INC # I6: 5 # E4: 1,9 => UNS * INC # I6: 5 # E5: 1,9 => UNS * INC # I6: 5 # H1: 3,4 => UNS * INC # I6: 5 # H1: 1,2 => UNS * INC # I6: 5 # I9: 3,4 => UNS * INC # I6: 5 # I9: 6,8,9 => UNS * INC # I6: 5 => UNS * INC # G5: 5 => UNS * CNT 10 HDP CHAINS / 10 HYP OPENED
Full list of HDP chains traversed for B5,B6: 5..:
* INC # B5: 5 # D2: 1,9 => UNS * INC # B5: 5 # D3: 1,9 => UNS * INC # B5: 5 # E4: 1,9 => UNS * INC # B5: 5 # E5: 1,9 => UNS * INC # B5: 5 # H1: 3,4 => UNS * INC # B5: 5 # H1: 1,2 => UNS * INC # B5: 5 # I9: 3,4 => UNS * INC # B5: 5 # I9: 6,8,9 => UNS * INC # B5: 5 => UNS * INC # B6: 5 => UNS * CNT 10 HDP CHAINS / 10 HYP OPENED
Full list of HDP chains traversed for F8,F9: 4..:
* INC # F8: 4 # B4: 7,9 => UNS * INC # F8: 4 # B5: 7,9 => UNS * INC # F8: 4 # B6: 7,9 => UNS * INC # F8: 4 # G8: 3,9 => UNS * PRF # F8: 4 # H9: 3,9 => SOL * STA # F8: 4 + H9: 3,9 * CNT 5 HDP CHAINS / 6 HYP OPENED