Analysis of xx-ph-00028351-2011_12-base.sdk
Contents
Original Sudoku
level: deep
position: 98.7..6....5.9..4......3..92.........96....5...1.4...8.1..8..9....6....7.....23.. initial
Autosolve
position: 98.7..6....5.9..4......3..92.........96....5...1.4...8.1..8..9....6....7.....23.. autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000007
List of important HDP chains detected for C1,F1: 4..:
* DIS # C1: 4 # G3: 2,7 => CTR => G3: 1,5,8 * DIS # C1: 4 + G3: 1,5,8 # G2: 1,2 => CTR => G2: 7 * CNT 2 HDP CHAINS / 80 HYP OPENED
List of important HDP chains detected for F1,D3: 4..:
* DIS # D3: 4 # G3: 2,7 => CTR => G3: 1,5,8 * DIS # D3: 4 + G3: 1,5,8 # G2: 1,2 => CTR => G2: 7 * CNT 2 HDP CHAINS / 80 HYP OPENED
List of important HDP chains detected for I1,G3: 5..:
* PRF # G3: 5 # I7: 2,4 => SOL * STA # G3: 5 + I7: 2,4 * CNT 1 HDP CHAINS / 2 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....5.9..4......3..92.........96....5...1.4...8.1..8..9....6....7.....23.. | initial |
| 98.7..6....5.9..4......3..92.........96....5...1.4...8.1..8..9....6....7.....23.. | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) A2,A3: 1.. / A2 = 1 => 3 pairs (_) / A3 = 1 => 0 pairs (_) D7,E8: 3.. / D7 = 3 => 1 pairs (_) / E8 = 3 => 1 pairs (_) F1,D3: 4.. / F1 = 4 => 2 pairs (_) / D3 = 4 => 4 pairs (_) C1,F1: 4.. / C1 = 4 => 4 pairs (_) / F1 = 4 => 2 pairs (_) I1,G3: 5.. / I1 = 5 => 2 pairs (_) / G3 = 5 => 3 pairs (_) F2,E3: 6.. / F2 = 6 => 1 pairs (_) / E3 = 6 => 1 pairs (_) F6,H6: 6.. / F6 = 6 => 1 pairs (_) / H6 = 6 => 1 pairs (_) A7,I7: 6.. / A7 = 6 => 0 pairs (_) / I7 = 6 => 1 pairs (_) E3,E4: 6.. / E3 = 6 => 1 pairs (_) / E4 = 6 => 1 pairs (_) F7,E9: 7.. / F7 = 7 => 2 pairs (_) / E9 = 7 => 1 pairs (_) C4,A5: 8.. / C4 = 8 => 0 pairs (_) / A5 = 8 => 3 pairs (_) G4,G6: 9.. / G4 = 9 => 1 pairs (_) / G6 = 9 => 0 pairs (_) C8,C9: 9.. / C8 = 9 => 0 pairs (_) / C9 = 9 => 0 pairs (_) F8,D9: 9.. / F8 = 9 => 0 pairs (_) / D9 = 9 => 0 pairs (_) C8,F8: 9.. / C8 = 9 => 0 pairs (_) / F8 = 9 => 0 pairs (_) C9,D9: 9.. / C9 = 9 => 0 pairs (_) / D9 = 9 => 0 pairs (_) * DURATION: 0:00:10.777256 START: 03:53:44.776106 END: 03:53:55.553362 2020-12-10 * CP COUNT: (16) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) C1,F1: 4.. / C1 = 4 ==> 5 pairs (_) / F1 = 4 ==> 2 pairs (_) F1,D3: 4.. / F1 = 4 ==> 2 pairs (_) / D3 = 4 ==> 5 pairs (_) I1,G3: 5.. / I1 = 5 => 0 pairs (X) / G3 = 5 ==> 0 pairs (*) * DURATION: 0:01:28.945444 START: 03:53:55.553993 END: 03:55:24.499437 2020-12-10 * REASONING C1,F1: 4.. * DIS # C1: 4 # G3: 2,7 => CTR => G3: 1,5,8 * DIS # C1: 4 + G3: 1,5,8 # G2: 1,2 => CTR => G2: 7 * CNT 2 HDP CHAINS / 80 HYP OPENED * REASONING F1,D3: 4.. * DIS # D3: 4 # G3: 2,7 => CTR => G3: 1,5,8 * DIS # D3: 4 + G3: 1,5,8 # G2: 1,2 => CTR => G2: 7 * CNT 2 HDP CHAINS / 80 HYP OPENED * REASONING I1,G3: 5.. * PRF # G3: 5 # I7: 2,4 => SOL * STA # G3: 5 + I7: 2,4 * CNT 1 HDP CHAINS / 2 HYP OPENED * DCP COUNT: (3) * SOLUTION FOUND
Header Info
28351;2011_12;GP;23;11.30;11.20;10.50
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for C1,F1: 4..:
* INC # C1: 4 # B2: 2,7 => UNS * INC # C1: 4 # B3: 2,7 => UNS * DIS # C1: 4 # G3: 2,7 => CTR => G3: 1,5,8 * INC # C1: 4 + G3: 1,5,8 # H3: 2,7 => UNS * INC # C1: 4 + G3: 1,5,8 # H3: 2,7 => UNS * INC # C1: 4 + G3: 1,5,8 # H3: 1,8 => UNS * INC # C1: 4 + G3: 1,5,8 # C7: 2,7 => UNS * INC # C1: 4 + G3: 1,5,8 # C7: 3 => UNS * INC # C1: 4 + G3: 1,5,8 # B2: 2,7 => UNS * INC # C1: 4 + G3: 1,5,8 # B3: 2,7 => UNS * INC # C1: 4 + G3: 1,5,8 # H3: 2,7 => UNS * INC # C1: 4 + G3: 1,5,8 # H3: 1,8 => UNS * INC # C1: 4 + G3: 1,5,8 # C7: 2,7 => UNS * INC # C1: 4 + G3: 1,5,8 # C7: 3 => UNS * INC # C1: 4 + G3: 1,5,8 # E1: 1,5 => UNS * INC # C1: 4 + G3: 1,5,8 # E3: 1,5 => UNS * INC # C1: 4 + G3: 1,5,8 # I1: 1,5 => UNS * INC # C1: 4 + G3: 1,5,8 # I1: 2,3 => UNS * INC # C1: 4 + G3: 1,5,8 # F4: 1,5 => UNS * INC # C1: 4 + G3: 1,5,8 # F8: 1,5 => UNS * INC # C1: 4 + G3: 1,5,8 # H1: 1,2 => UNS * INC # C1: 4 + G3: 1,5,8 # I1: 1,2 => UNS * DIS # C1: 4 + G3: 1,5,8 # G2: 1,2 => CTR => G2: 7 * INC # C1: 4 + G3: 1,5,8 + G2: 7 # H3: 1,2 => UNS * INC # C1: 4 + G3: 1,5,8 + G2: 7 # D2: 1,2 => UNS * INC # C1: 4 + G3: 1,5,8 + G2: 7 # D2: 8 => UNS * INC # C1: 4 + G3: 1,5,8 + G2: 7 # I5: 1,2 => UNS * INC # C1: 4 + G3: 1,5,8 + G2: 7 # I5: 3,4 => UNS * INC # C1: 4 + G3: 1,5,8 + G2: 7 # H1: 1,2 => UNS * INC # C1: 4 + G3: 1,5,8 + G2: 7 # I1: 1,2 => UNS * INC # C1: 4 + G3: 1,5,8 + G2: 7 # H3: 1,2 => UNS * INC # C1: 4 + G3: 1,5,8 + G2: 7 # D2: 1,2 => UNS * INC # C1: 4 + G3: 1,5,8 + G2: 7 # D2: 8 => UNS * INC # C1: 4 + G3: 1,5,8 + G2: 7 # I5: 1,2 => UNS * INC # C1: 4 + G3: 1,5,8 + G2: 7 # I5: 3,4 => UNS * INC # C1: 4 + G3: 1,5,8 + G2: 7 # E8: 3,5 => UNS * INC # C1: 4 + G3: 1,5,8 + G2: 7 # E8: 1 => UNS * INC # C1: 4 + G3: 1,5,8 + G2: 7 # A7: 3,5 => UNS * INC # C1: 4 + G3: 1,5,8 + G2: 7 # A7: 4,6,7 => UNS * INC # C1: 4 + G3: 1,5,8 + G2: 7 # D4: 3,5 => UNS * INC # C1: 4 + G3: 1,5,8 + G2: 7 # D6: 3,5 => UNS * INC # C1: 4 + G3: 1,5,8 + G2: 7 # B3: 2,7 => UNS * INC # C1: 4 + G3: 1,5,8 + G2: 7 # B3: 6 => UNS * INC # C1: 4 + G3: 1,5,8 + G2: 7 # C7: 2,7 => UNS * INC # C1: 4 + G3: 1,5,8 + G2: 7 # C7: 3 => UNS * INC # C1: 4 + G3: 1,5,8 + G2: 7 # E1: 1,5 => UNS * INC # C1: 4 + G3: 1,5,8 + G2: 7 # E3: 1,5 => UNS * INC # C1: 4 + G3: 1,5,8 + G2: 7 # I1: 1,5 => UNS * INC # C1: 4 + G3: 1,5,8 + G2: 7 # I1: 2,3 => UNS * INC # C1: 4 + G3: 1,5,8 + G2: 7 # F4: 1,5 => UNS * INC # C1: 4 + G3: 1,5,8 + G2: 7 # F8: 1,5 => UNS * INC # C1: 4 + G3: 1,5,8 + G2: 7 # H1: 1,2 => UNS * INC # C1: 4 + G3: 1,5,8 + G2: 7 # I1: 1,2 => UNS * INC # C1: 4 + G3: 1,5,8 + G2: 7 # H3: 1,2 => UNS * INC # C1: 4 + G3: 1,5,8 + G2: 7 # D2: 1,2 => UNS * INC # C1: 4 + G3: 1,5,8 + G2: 7 # D2: 8 => UNS * INC # C1: 4 + G3: 1,5,8 + G2: 7 # I5: 1,2 => UNS * INC # C1: 4 + G3: 1,5,8 + G2: 7 # I5: 3,4 => UNS * INC # C1: 4 + G3: 1,5,8 + G2: 7 # D6: 2,9 => UNS * INC # C1: 4 + G3: 1,5,8 + G2: 7 # D6: 3,5 => UNS * INC # C1: 4 + G3: 1,5,8 + G2: 7 # E8: 3,5 => UNS * INC # C1: 4 + G3: 1,5,8 + G2: 7 # E8: 1 => UNS * INC # C1: 4 + G3: 1,5,8 + G2: 7 # A7: 3,5 => UNS * INC # C1: 4 + G3: 1,5,8 + G2: 7 # A7: 4,6,7 => UNS * INC # C1: 4 + G3: 1,5,8 + G2: 7 # D4: 3,5 => UNS * INC # C1: 4 + G3: 1,5,8 + G2: 7 # D6: 3,5 => UNS * INC # C1: 4 + G3: 1,5,8 + G2: 7 => UNS * INC # F1: 4 # B2: 2,3 => UNS * INC # F1: 4 # B2: 6,7 => UNS * INC # F1: 4 # H1: 2,3 => UNS * INC # F1: 4 # I1: 2,3 => UNS * INC # F1: 4 # C7: 2,3 => UNS * INC # F1: 4 # C8: 2,3 => UNS * INC # F1: 4 # E9: 5,7 => UNS * INC # F1: 4 # E9: 1 => UNS * INC # F1: 4 # A7: 5,7 => UNS * INC # F1: 4 # A7: 3,4,6 => UNS * INC # F1: 4 # F4: 5,7 => UNS * INC # F1: 4 # F6: 5,7 => UNS * INC # F1: 4 => UNS * CNT 80 HDP CHAINS / 80 HYP OPENED
Full list of HDP chains traversed for F1,D3: 4..:
* INC # D3: 4 # B2: 2,7 => UNS * INC # D3: 4 # B3: 2,7 => UNS * DIS # D3: 4 # G3: 2,7 => CTR => G3: 1,5,8 * INC # D3: 4 + G3: 1,5,8 # H3: 2,7 => UNS * INC # D3: 4 + G3: 1,5,8 # H3: 2,7 => UNS * INC # D3: 4 + G3: 1,5,8 # H3: 1,8 => UNS * INC # D3: 4 + G3: 1,5,8 # C7: 2,7 => UNS * INC # D3: 4 + G3: 1,5,8 # C7: 3 => UNS * INC # D3: 4 + G3: 1,5,8 # B2: 2,7 => UNS * INC # D3: 4 + G3: 1,5,8 # B3: 2,7 => UNS * INC # D3: 4 + G3: 1,5,8 # H3: 2,7 => UNS * INC # D3: 4 + G3: 1,5,8 # H3: 1,8 => UNS * INC # D3: 4 + G3: 1,5,8 # C7: 2,7 => UNS * INC # D3: 4 + G3: 1,5,8 # C7: 3 => UNS * INC # D3: 4 + G3: 1,5,8 # E1: 1,5 => UNS * INC # D3: 4 + G3: 1,5,8 # E3: 1,5 => UNS * INC # D3: 4 + G3: 1,5,8 # I1: 1,5 => UNS * INC # D3: 4 + G3: 1,5,8 # I1: 2,3 => UNS * INC # D3: 4 + G3: 1,5,8 # F4: 1,5 => UNS * INC # D3: 4 + G3: 1,5,8 # F8: 1,5 => UNS * INC # D3: 4 + G3: 1,5,8 # H1: 1,2 => UNS * INC # D3: 4 + G3: 1,5,8 # I1: 1,2 => UNS * DIS # D3: 4 + G3: 1,5,8 # G2: 1,2 => CTR => G2: 7 * INC # D3: 4 + G3: 1,5,8 + G2: 7 # H3: 1,2 => UNS * INC # D3: 4 + G3: 1,5,8 + G2: 7 # D2: 1,2 => UNS * INC # D3: 4 + G3: 1,5,8 + G2: 7 # D2: 8 => UNS * INC # D3: 4 + G3: 1,5,8 + G2: 7 # I5: 1,2 => UNS * INC # D3: 4 + G3: 1,5,8 + G2: 7 # I5: 3,4 => UNS * INC # D3: 4 + G3: 1,5,8 + G2: 7 # H1: 1,2 => UNS * INC # D3: 4 + G3: 1,5,8 + G2: 7 # I1: 1,2 => UNS * INC # D3: 4 + G3: 1,5,8 + G2: 7 # H3: 1,2 => UNS * INC # D3: 4 + G3: 1,5,8 + G2: 7 # D2: 1,2 => UNS * INC # D3: 4 + G3: 1,5,8 + G2: 7 # D2: 8 => UNS * INC # D3: 4 + G3: 1,5,8 + G2: 7 # I5: 1,2 => UNS * INC # D3: 4 + G3: 1,5,8 + G2: 7 # I5: 3,4 => UNS * INC # D3: 4 + G3: 1,5,8 + G2: 7 # E8: 3,5 => UNS * INC # D3: 4 + G3: 1,5,8 + G2: 7 # E8: 1 => UNS * INC # D3: 4 + G3: 1,5,8 + G2: 7 # A7: 3,5 => UNS * INC # D3: 4 + G3: 1,5,8 + G2: 7 # A7: 4,6,7 => UNS * INC # D3: 4 + G3: 1,5,8 + G2: 7 # D4: 3,5 => UNS * INC # D3: 4 + G3: 1,5,8 + G2: 7 # D6: 3,5 => UNS * INC # D3: 4 + G3: 1,5,8 + G2: 7 # B3: 2,7 => UNS * INC # D3: 4 + G3: 1,5,8 + G2: 7 # B3: 6 => UNS * INC # D3: 4 + G3: 1,5,8 + G2: 7 # C7: 2,7 => UNS * INC # D3: 4 + G3: 1,5,8 + G2: 7 # C7: 3 => UNS * INC # D3: 4 + G3: 1,5,8 + G2: 7 # E1: 1,5 => UNS * INC # D3: 4 + G3: 1,5,8 + G2: 7 # E3: 1,5 => UNS * INC # D3: 4 + G3: 1,5,8 + G2: 7 # I1: 1,5 => UNS * INC # D3: 4 + G3: 1,5,8 + G2: 7 # I1: 2,3 => UNS * INC # D3: 4 + G3: 1,5,8 + G2: 7 # F4: 1,5 => UNS * INC # D3: 4 + G3: 1,5,8 + G2: 7 # F8: 1,5 => UNS * INC # D3: 4 + G3: 1,5,8 + G2: 7 # H1: 1,2 => UNS * INC # D3: 4 + G3: 1,5,8 + G2: 7 # I1: 1,2 => UNS * INC # D3: 4 + G3: 1,5,8 + G2: 7 # H3: 1,2 => UNS * INC # D3: 4 + G3: 1,5,8 + G2: 7 # D2: 1,2 => UNS * INC # D3: 4 + G3: 1,5,8 + G2: 7 # D2: 8 => UNS * INC # D3: 4 + G3: 1,5,8 + G2: 7 # I5: 1,2 => UNS * INC # D3: 4 + G3: 1,5,8 + G2: 7 # I5: 3,4 => UNS * INC # D3: 4 + G3: 1,5,8 + G2: 7 # D6: 2,9 => UNS * INC # D3: 4 + G3: 1,5,8 + G2: 7 # D6: 3,5 => UNS * INC # D3: 4 + G3: 1,5,8 + G2: 7 # E8: 3,5 => UNS * INC # D3: 4 + G3: 1,5,8 + G2: 7 # E8: 1 => UNS * INC # D3: 4 + G3: 1,5,8 + G2: 7 # A7: 3,5 => UNS * INC # D3: 4 + G3: 1,5,8 + G2: 7 # A7: 4,6,7 => UNS * INC # D3: 4 + G3: 1,5,8 + G2: 7 # D4: 3,5 => UNS * INC # D3: 4 + G3: 1,5,8 + G2: 7 # D6: 3,5 => UNS * INC # D3: 4 + G3: 1,5,8 + G2: 7 => UNS * INC # F1: 4 # B2: 2,3 => UNS * INC # F1: 4 # B2: 6,7 => UNS * INC # F1: 4 # H1: 2,3 => UNS * INC # F1: 4 # I1: 2,3 => UNS * INC # F1: 4 # C7: 2,3 => UNS * INC # F1: 4 # C8: 2,3 => UNS * INC # F1: 4 # E9: 5,7 => UNS * INC # F1: 4 # E9: 1 => UNS * INC # F1: 4 # A7: 5,7 => UNS * INC # F1: 4 # A7: 3,4,6 => UNS * INC # F1: 4 # F4: 5,7 => UNS * INC # F1: 4 # F6: 5,7 => UNS * INC # F1: 4 => UNS * CNT 80 HDP CHAINS / 80 HYP OPENED
Full list of HDP chains traversed for I1,G3: 5..:
* PRF # G3: 5 # I7: 2,4 => SOL * STA # G3: 5 + I7: 2,4 * CNT 1 HDP CHAINS / 2 HYP OPENED