Analysis of xx-ph-00066107-12_11-base.sdk
Contents
Original Sudoku
level: very deep
position: 98.7..6..75..4......3..8.7.5....9.3....2..1......7...63...2...1.7...5.8....4..7.. initial
Autosolve
position: 98.7..6..75..4......3..8.7.5....9.3....2..1......7...63...27..1.7...5.8....4..7.. autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000010
See Appendix: Full HDP Chains for full list of HDP chains.
Very Deep Constraint Pair Analysis
Time used: 0:00:34.292951
List of important HDP chains detected for H1,H2: 1..:
* DIS # H1: 1 # A3: 2,4 # I1: 2,4 => CTR => I1: 3,5 * DIS # H1: 1 # A3: 2,4 + I1: 3,5 # D2: 1,6 => CTR => D2: 3,9 * PRF # H1: 1 # A3: 2,4 + I1: 3,5 + D2: 3,9 # B4: 1,6 => SOL * STA # H1: 1 # A3: 2,4 + I1: 3,5 + D2: 3,9 + B4: 1,6 * CNT 3 HDP CHAINS / 34 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
This sudoku is very deep. Here is some information that may be helpful on how to proceed.
Positions
| 98.7..6..75..4......3..8.7.5....9.3....2..1......7...63...2...1.7...5.8....4..7.. | initial |
| 98.7..6..75..4......3..8.7.5....9.3....2..1......7...63...27..1.7...5.8....4..7.. | autosolve |
Classification
level: very deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) H1,H2: 1.. / H1 = 1 => 4 pairs (_) / H2 = 1 => 1 pairs (_) F1,F2: 2.. / F1 = 2 => 1 pairs (_) / F2 = 2 => 3 pairs (_) B5,B6: 3.. / B5 = 3 => 1 pairs (_) / B6 = 3 => 1 pairs (_) G2,G8: 3.. / G2 = 3 => 0 pairs (_) / G8 = 3 => 0 pairs (_) F5,F6: 4.. / F5 = 4 => 3 pairs (_) / F6 = 4 => 1 pairs (_) E5,D6: 5.. / E5 = 5 => 2 pairs (_) / D6 = 5 => 0 pairs (_) C7,C9: 5.. / C7 = 5 => 2 pairs (_) / C9 = 5 => 0 pairs (_) D3,D6: 5.. / D3 = 5 => 2 pairs (_) / D6 = 5 => 0 pairs (_) H7,H9: 6.. / H7 = 6 => 2 pairs (_) / H9 = 6 => 1 pairs (_) C4,C5: 7.. / C4 = 7 => 0 pairs (_) / C5 = 7 => 0 pairs (_) I4,I5: 7.. / I4 = 7 => 0 pairs (_) / I5 = 7 => 0 pairs (_) C4,I4: 7.. / C4 = 7 => 0 pairs (_) / I4 = 7 => 0 pairs (_) C5,I5: 7.. / C5 = 7 => 0 pairs (_) / I5 = 7 => 0 pairs (_) G2,I2: 8.. / G2 = 8 => 3 pairs (_) / I2 = 8 => 0 pairs (_) D7,E9: 8.. / D7 = 8 => 1 pairs (_) / E9 = 8 => 2 pairs (_) C7,D7: 8.. / C7 = 8 => 2 pairs (_) / D7 = 8 => 1 pairs (_) * DURATION: 0:00:09.929149 START: 09:37:16.414503 END: 09:37:26.343652 2020-12-22 * CP COUNT: (16) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) H1,H2: 1.. / H1 = 1 ==> 4 pairs (_) / H2 = 1 ==> 1 pairs (_) F5,F6: 4.. / F5 = 4 ==> 3 pairs (_) / F6 = 4 ==> 1 pairs (_) F1,F2: 2.. / F1 = 2 ==> 1 pairs (_) / F2 = 2 ==> 3 pairs (_) G2,I2: 8.. / G2 = 8 ==> 3 pairs (_) / I2 = 8 ==> 0 pairs (_) C7,D7: 8.. / C7 = 8 ==> 2 pairs (_) / D7 = 8 ==> 1 pairs (_) D7,E9: 8.. / D7 = 8 ==> 1 pairs (_) / E9 = 8 ==> 2 pairs (_) H7,H9: 6.. / H7 = 6 ==> 2 pairs (_) / H9 = 6 ==> 1 pairs (_) D3,D6: 5.. / D3 = 5 ==> 2 pairs (_) / D6 = 5 ==> 0 pairs (_) C7,C9: 5.. / C7 = 5 ==> 2 pairs (_) / C9 = 5 ==> 0 pairs (_) E5,D6: 5.. / E5 = 5 ==> 2 pairs (_) / D6 = 5 ==> 0 pairs (_) B5,B6: 3.. / B5 = 3 ==> 1 pairs (_) / B6 = 3 ==> 1 pairs (_) C5,I5: 7.. / C5 = 7 ==> 0 pairs (_) / I5 = 7 ==> 0 pairs (_) C4,I4: 7.. / C4 = 7 ==> 0 pairs (_) / I4 = 7 ==> 0 pairs (_) I4,I5: 7.. / I4 = 7 ==> 0 pairs (_) / I5 = 7 ==> 0 pairs (_) C4,C5: 7.. / C4 = 7 ==> 0 pairs (_) / C5 = 7 ==> 0 pairs (_) G2,G8: 3.. / G2 = 3 ==> 0 pairs (_) / G8 = 3 ==> 0 pairs (_) * DURATION: 0:01:35.302019 START: 09:37:26.344462 END: 09:39:01.646481 2020-12-22 * DCP COUNT: (16) * INCONCLUSIVE -------------------------------------------------- * VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE) H1,H2: 1.. / H1 = 1 ==> 0 pairs (*) / H2 = 1 => 0 pairs (X) * DURATION: 0:00:34.291517 START: 09:39:01.826764 END: 09:39:36.118281 2020-12-22 * REASONING H1,H2: 1.. * DIS # H1: 1 # A3: 2,4 # I1: 2,4 => CTR => I1: 3,5 * DIS # H1: 1 # A3: 2,4 + I1: 3,5 # D2: 1,6 => CTR => D2: 3,9 * PRF # H1: 1 # A3: 2,4 + I1: 3,5 + D2: 3,9 # B4: 1,6 => SOL * STA # H1: 1 # A3: 2,4 + I1: 3,5 + D2: 3,9 + B4: 1,6 * CNT 3 HDP CHAINS / 34 HYP OPENED * VDCP COUNT: (1) * SOLUTION FOUND
Header Info
66107;12_11;GP;25;11.30;1.20;1.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
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 # I1: 2,4 => UNS * INC # H1: 1 # I1: 3,5 => UNS * INC # H1: 1 # C4: 2,4 => UNS * INC # H1: 1 # C6: 2,4 => UNS * INC # H1: 1 # C8: 2,4 => UNS * INC # H1: 1 # I1: 3,5 => UNS * INC # H1: 1 # I1: 2,4 => UNS * INC # H1: 1 # E5: 3,5 => UNS * INC # H1: 1 # E5: 6,8 => UNS * INC # H1: 1 # F2: 2,3 => UNS * INC # H1: 1 # F2: 1,6 => UNS * INC # H1: 1 # I1: 2,3 => UNS * INC # H1: 1 # I1: 4,5 => UNS * INC # H1: 1 # G2: 2,9 => UNS * INC # H1: 1 # I2: 2,9 => UNS * INC # H1: 1 # G3: 2,9 => UNS * INC # H1: 1 # I3: 2,9 => UNS * INC # H1: 1 # H6: 2,9 => UNS * INC # H1: 1 # H9: 2,9 => UNS * INC # H1: 1 => UNS * INC # H2: 1 # A3: 2,6 => UNS * INC # H2: 1 # B3: 2,6 => UNS * INC # H2: 1 # F2: 2,6 => UNS * INC # H2: 1 # F2: 3 => UNS * INC # H2: 1 # C4: 2,6 => UNS * INC # H2: 1 # C8: 2,6 => UNS * INC # H2: 1 # C9: 2,6 => UNS * INC # H2: 1 => UNS * CNT 30 HDP CHAINS / 30 HYP OPENED
Full list of HDP chains traversed for F5,F6: 4..:
* INC # F5: 4 # C4: 6,8 => UNS * INC # F5: 4 # C5: 6,8 => UNS * INC # F5: 4 # E5: 6,8 => UNS * INC # F5: 4 # E5: 3,5 => UNS * INC # F5: 4 # A9: 6,8 => UNS * INC # F5: 4 # A9: 1,2 => UNS * INC # F5: 4 # D6: 1,3 => UNS * INC # F5: 4 # D6: 5,8 => UNS * INC # F5: 4 # B6: 1,3 => UNS * INC # F5: 4 # B6: 2,4,9 => UNS * INC # F5: 4 # F1: 1,3 => UNS * INC # F5: 4 # F2: 1,3 => UNS * INC # F5: 4 # F9: 1,3 => UNS * INC # F5: 4 # I5: 5,9 => UNS * INC # F5: 4 # G6: 5,9 => UNS * INC # F5: 4 # H6: 5,9 => UNS * INC # F5: 4 # H7: 5,9 => UNS * INC # F5: 4 # H9: 5,9 => UNS * INC # F5: 4 => UNS * INC # F6: 4 # E5: 3,6 => UNS * INC # F6: 4 # E5: 5,8 => UNS * INC # F6: 4 # B5: 3,6 => UNS * INC # F6: 4 # B5: 4,9 => UNS * INC # F6: 4 # F2: 3,6 => UNS * INC # F6: 4 # F9: 3,6 => UNS * INC # F6: 4 => UNS * CNT 26 HDP CHAINS / 26 HYP OPENED
Full list of HDP chains traversed for F1,F2: 2..:
* INC # F2: 2 # A3: 1,6 => UNS * INC # F2: 2 # B3: 1,6 => UNS * INC # F2: 2 # D2: 1,6 => UNS * INC # F2: 2 # D2: 3,9 => UNS * INC # F2: 2 # C4: 1,6 => UNS * INC # F2: 2 # C8: 1,6 => UNS * INC # F2: 2 # C9: 1,6 => UNS * INC # F2: 2 # E1: 1,3 => UNS * INC # F2: 2 # D2: 1,3 => UNS * INC # F2: 2 # F6: 1,3 => UNS * INC # F2: 2 # F9: 1,3 => UNS * INC # F2: 2 # D2: 1,9 => UNS * INC # F2: 2 # D2: 3,6 => UNS * INC # F2: 2 => UNS * INC # F1: 2 # A3: 1,4 => UNS * INC # F1: 2 # B3: 1,4 => UNS * INC # F1: 2 # H1: 1,4 => UNS * INC # F1: 2 # H1: 5 => UNS * INC # F1: 2 # C4: 1,4 => UNS * INC # F1: 2 # C6: 1,4 => UNS * INC # F1: 2 # C8: 1,4 => UNS * INC # F1: 2 => UNS * CNT 22 HDP CHAINS / 22 HYP OPENED
Full list of HDP chains traversed for G2,I2: 8..:
* INC # G2: 8 # G6: 2,4 => UNS * INC # G2: 8 # H6: 2,4 => UNS * INC # G2: 8 # B4: 2,4 => UNS * INC # G2: 8 # C4: 2,4 => UNS * INC # G2: 8 # G3: 2,4 => UNS * INC # G2: 8 # G3: 5,9 => UNS * INC # G2: 8 # C4: 7,8 => UNS * INC # G2: 8 # C4: 1,2,4,6 => UNS * INC # G2: 8 # C5: 7,8 => UNS * INC # G2: 8 # C5: 4,6,9 => UNS * INC # G2: 8 => UNS * INC # I2: 8 => UNS * CNT 12 HDP CHAINS / 12 HYP OPENED
Full list of HDP chains traversed for C7,D7: 8..:
* INC # C7: 8 # D4: 1,6 => UNS * INC # C7: 8 # D4: 8 => UNS * INC # C7: 8 # B4: 1,6 => UNS * INC # C7: 8 # C4: 1,6 => UNS * INC # C7: 8 # E3: 1,6 => UNS * INC # C7: 8 # E8: 1,6 => UNS * INC # C7: 8 # D8: 6,9 => UNS * INC # C7: 8 # E8: 6,9 => UNS * INC # C7: 8 # B7: 6,9 => UNS * INC # C7: 8 # H7: 6,9 => UNS * INC # C7: 8 # D2: 6,9 => UNS * INC # C7: 8 # D3: 6,9 => UNS * INC # C7: 8 => UNS * INC # D7: 8 # E4: 1,6 => UNS * INC # D7: 8 # E4: 8 => UNS * INC # D7: 8 # B4: 1,6 => UNS * INC # D7: 8 # C4: 1,6 => UNS * INC # D7: 8 # D2: 1,6 => UNS * INC # D7: 8 # D3: 1,6 => UNS * INC # D7: 8 # D8: 1,6 => UNS * INC # D7: 8 => UNS * CNT 21 HDP CHAINS / 21 HYP OPENED
Full list of HDP chains traversed for D7,E9: 8..:
* INC # E9: 8 # D4: 1,6 => UNS * INC # E9: 8 # D4: 8 => UNS * INC # E9: 8 # B4: 1,6 => UNS * INC # E9: 8 # C4: 1,6 => UNS * INC # E9: 8 # E3: 1,6 => UNS * INC # E9: 8 # E8: 1,6 => UNS * INC # E9: 8 # D8: 6,9 => UNS * INC # E9: 8 # E8: 6,9 => UNS * INC # E9: 8 # B7: 6,9 => UNS * INC # E9: 8 # H7: 6,9 => UNS * INC # E9: 8 # D2: 6,9 => UNS * INC # E9: 8 # D3: 6,9 => UNS * INC # E9: 8 => UNS * INC # D7: 8 # E4: 1,6 => UNS * INC # D7: 8 # E4: 8 => UNS * INC # D7: 8 # B4: 1,6 => UNS * INC # D7: 8 # C4: 1,6 => UNS * INC # D7: 8 # D2: 1,6 => UNS * INC # D7: 8 # D3: 1,6 => UNS * INC # D7: 8 # D8: 1,6 => UNS * INC # D7: 8 => UNS * CNT 21 HDP CHAINS / 21 HYP OPENED
Full list of HDP chains traversed for H7,H9: 6..:
* INC # H7: 6 # C7: 4,9 => UNS * INC # H7: 6 # C8: 4,9 => UNS * INC # H7: 6 # G7: 4,9 => UNS * INC # H7: 6 # G7: 5 => UNS * INC # H7: 6 # B5: 4,9 => UNS * INC # H7: 6 # B6: 4,9 => UNS * INC # H7: 6 # E9: 8,9 => UNS * INC # H7: 6 # E9: 1,3,6 => UNS * INC # H7: 6 # C7: 8,9 => UNS * INC # H7: 6 # C7: 4,5 => UNS * INC # H7: 6 => UNS * INC # H9: 6 # D8: 1,3 => UNS * INC # H9: 6 # E8: 1,3 => UNS * INC # H9: 6 # E9: 1,3 => UNS * INC # H9: 6 # F1: 1,3 => UNS * INC # H9: 6 # F2: 1,3 => UNS * INC # H9: 6 # F6: 1,3 => UNS * INC # H9: 6 => UNS * CNT 18 HDP CHAINS / 18 HYP OPENED
Full list of HDP chains traversed for D3,D6: 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 # E8: 1,3 => UNS * INC # D3: 5 # E9: 1,3 => UNS * INC # D3: 5 # I5: 4,9 => UNS * INC # D3: 5 # G6: 4,9 => UNS * INC # D3: 5 # H6: 4,9 => UNS * INC # D3: 5 # B5: 4,9 => UNS * INC # D3: 5 # C5: 4,9 => UNS * INC # D3: 5 # H7: 4,9 => UNS * INC # D3: 5 # H7: 5,6 => UNS * INC # D3: 5 => UNS * INC # D6: 5 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
Full list of HDP chains traversed for C7,C9: 5..:
* INC # C7: 5 # E4: 1,6 => UNS * INC # C7: 5 # E4: 8 => UNS * INC # C7: 5 # B4: 1,6 => UNS * INC # C7: 5 # C4: 1,6 => UNS * INC # C7: 5 # D2: 1,6 => UNS * INC # C7: 5 # D3: 1,6 => UNS * INC # C7: 5 # D8: 1,6 => UNS * INC # C7: 5 # H7: 4,9 => UNS * INC # C7: 5 # G8: 4,9 => UNS * INC # C7: 5 # I8: 4,9 => UNS * INC # C7: 5 # B7: 4,9 => UNS * INC # C7: 5 # B7: 6 => UNS * INC # C7: 5 # G3: 4,9 => UNS * INC # C7: 5 # G6: 4,9 => UNS * INC # C7: 5 => UNS * INC # C9: 5 => UNS * CNT 16 HDP CHAINS / 16 HYP OPENED
Full list of HDP chains traversed for E5,D6: 5..:
* INC # E5: 5 # F1: 1,3 => UNS * INC # E5: 5 # D2: 1,3 => UNS * INC # E5: 5 # F2: 1,3 => UNS * INC # E5: 5 # E8: 1,3 => UNS * INC # E5: 5 # E9: 1,3 => UNS * INC # E5: 5 # I5: 4,9 => UNS * INC # E5: 5 # G6: 4,9 => UNS * INC # E5: 5 # H6: 4,9 => UNS * INC # E5: 5 # B5: 4,9 => UNS * INC # E5: 5 # C5: 4,9 => UNS * INC # E5: 5 # H7: 4,9 => UNS * INC # E5: 5 # H7: 5,6 => UNS * INC # E5: 5 => UNS * INC # D6: 5 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
Full list of HDP chains traversed for B5,B6: 3..:
* INC # B5: 3 # A5: 4,6 => UNS * INC # B5: 3 # C5: 4,6 => UNS * INC # B5: 3 => UNS * INC # B6: 3 # A6: 1,4 => UNS * INC # B6: 3 # C6: 1,4 => UNS * INC # B6: 3 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
Full list of HDP chains traversed for C5,I5: 7..:
* INC # C5: 7 => UNS * INC # I5: 7 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for C4,I4: 7..:
* INC # C4: 7 => UNS * INC # I4: 7 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for I4,I5: 7..:
* INC # I4: 7 => UNS * INC # I5: 7 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for C4,C5: 7..:
* INC # C4: 7 => UNS * INC # C5: 7 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for G2,G8: 3..:
* INC # G2: 3 => UNS * INC # G8: 3 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A2. Very Deep Constraint Pair Analysis
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 # I1: 2,4 => UNS * INC # H1: 1 # I1: 3,5 => UNS * INC # H1: 1 # C4: 2,4 => UNS * INC # H1: 1 # C6: 2,4 => UNS * INC # H1: 1 # C8: 2,4 => UNS * INC # H1: 1 # I1: 3,5 => UNS * INC # H1: 1 # I1: 2,4 => UNS * INC # H1: 1 # E5: 3,5 => UNS * INC # H1: 1 # E5: 6,8 => UNS * INC # H1: 1 # F2: 2,3 => UNS * INC # H1: 1 # F2: 1,6 => UNS * INC # H1: 1 # I1: 2,3 => UNS * INC # H1: 1 # I1: 4,5 => UNS * INC # H1: 1 # G2: 2,9 => UNS * INC # H1: 1 # I2: 2,9 => UNS * INC # H1: 1 # G3: 2,9 => UNS * INC # H1: 1 # I3: 2,9 => UNS * INC # H1: 1 # H6: 2,9 => UNS * INC # H1: 1 # H9: 2,9 => UNS * DIS # H1: 1 # A3: 2,4 # I1: 2,4 => CTR => I1: 3,5 * DIS # H1: 1 # A3: 2,4 + I1: 3,5 # D2: 1,6 => CTR => D2: 3,9 * INC # H1: 1 # A3: 2,4 + I1: 3,5 + D2: 3,9 # C4: 1,6 => UNS * INC # H1: 1 # A3: 2,4 + I1: 3,5 + D2: 3,9 # C8: 1,6 => UNS * INC # H1: 1 # A3: 2,4 + I1: 3,5 + D2: 3,9 # C9: 1,6 => UNS * INC # H1: 1 # A3: 2,4 + I1: 3,5 + D2: 3,9 # C4: 1,6 => UNS * INC # H1: 1 # A3: 2,4 + I1: 3,5 + D2: 3,9 # C8: 1,6 => UNS * INC # H1: 1 # A3: 2,4 + I1: 3,5 + D2: 3,9 # C9: 1,6 => UNS * INC # H1: 1 # A3: 2,4 + I1: 3,5 + D2: 3,9 # D3: 1,6 => UNS * INC # H1: 1 # A3: 2,4 + I1: 3,5 + D2: 3,9 # E3: 1,6 => UNS * PRF # H1: 1 # A3: 2,4 + I1: 3,5 + D2: 3,9 # B4: 1,6 => SOL * STA # H1: 1 # A3: 2,4 + I1: 3,5 + D2: 3,9 + B4: 1,6 * CNT 32 HDP CHAINS / 34 HYP OPENED