Analysis of xx-ph-00062549-12_11-base.sdk
Contents
Original Sudoku
level: very deep
position: 98.7..6..5...9......4..8.7.6...3.8...9.........5..2..1.5..8.3.....1...4......7..2 initial
Autosolve
position: 98.7..6..5...9......4..8.7.6...3.8...9.........5..2..1.5..8.3.....1...4......7..2 autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000009
List of important HDP chains detected for G3,I3: 9..:
* DIS # G3: 9 # I8: 5,7 => CTR => I8: 6,8,9 * DIS # G3: 9 + I8: 6,8,9 # H9: 1,5 => CTR => H9: 6,8,9 * CNT 2 HDP CHAINS / 36 HYP OPENED
List of important HDP chains detected for B2,C2: 7..:
* DIS # C2: 7 # B4: 1,2 => CTR => B4: 4,7 * CNT 1 HDP CHAINS / 20 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Very Deep Constraint Pair Analysis
Time used: 0:00:43.384697
List of important HDP chains detected for G3,I3: 9..:
* DIS # G3: 9 # I8: 5,7 => CTR => I8: 6,8,9 * DIS # G3: 9 + I8: 6,8,9 # H9: 1,5 => CTR => H9: 6,8,9 * DIS # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # H1: 3,5 # F1: 1 => CTR => F1: 3,5 * DIS # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # H1: 3,5 + F1: 3,5 # I5: 6,7 => CTR => I5: 3,5 * DIS # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # H1: 3,5 + F1: 3,5 + I5: 3,5 # G5: 4,7 => CTR => G5: 2 * PRF # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # H1: 3,5 + F1: 3,5 + I5: 3,5 + G5: 2 # C8: 6,9 => SOL * STA # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # H1: 3,5 + F1: 3,5 + I5: 3,5 + G5: 2 + C8: 6,9 * CNT 6 HDP CHAINS / 44 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..5...9......4..8.7.6...3.8...9.........5..2..1.5..8.3.....1...4......7..2 | initial |
| 98.7..6..5...9......4..8.7.6...3.8...9.........5..2..1.5..8.3.....1...4......7..2 | autosolve |
Classification
level: very deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) D7,E8: 2.. / D7 = 2 => 1 pairs (_) / E8 = 2 => 0 pairs (_) F8,D9: 3.. / F8 = 3 => 0 pairs (_) / D9 = 3 => 0 pairs (_) B2,C2: 7.. / B2 = 7 => 1 pairs (_) / C2 = 7 => 1 pairs (_) E5,E6: 7.. / E5 = 7 => 1 pairs (_) / E6 = 7 => 2 pairs (_) H2,I2: 8.. / H2 = 8 => 1 pairs (_) / I2 = 8 => 0 pairs (_) D5,D6: 8.. / D5 = 8 => 0 pairs (_) / D6 = 8 => 1 pairs (_) I8,H9: 8.. / I8 = 8 => 1 pairs (_) / H9 = 8 => 0 pairs (_) A6,D6: 8.. / A6 = 8 => 0 pairs (_) / D6 = 8 => 1 pairs (_) H2,H9: 8.. / H2 = 8 => 1 pairs (_) / H9 = 8 => 0 pairs (_) I2,I8: 8.. / I2 = 8 => 0 pairs (_) / I8 = 8 => 1 pairs (_) G3,I3: 9.. / G3 = 9 => 4 pairs (_) / I3 = 9 => 1 pairs (_) * DURATION: 0:00:07.616404 START: 20:20:42.497929 END: 20:20:50.114333 2020-12-21 * CP COUNT: (11) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) G3,I3: 9.. / G3 = 9 ==> 4 pairs (_) / I3 = 9 ==> 1 pairs (_) E5,E6: 7.. / E5 = 7 ==> 1 pairs (_) / E6 = 7 ==> 2 pairs (_) B2,C2: 7.. / B2 = 7 ==> 1 pairs (_) / C2 = 7 ==> 2 pairs (_) I2,I8: 8.. / I2 = 8 ==> 0 pairs (_) / I8 = 8 ==> 1 pairs (_) H2,H9: 8.. / H2 = 8 ==> 1 pairs (_) / H9 = 8 ==> 0 pairs (_) A6,D6: 8.. / A6 = 8 ==> 0 pairs (_) / D6 = 8 ==> 1 pairs (_) I8,H9: 8.. / I8 = 8 ==> 1 pairs (_) / H9 = 8 ==> 0 pairs (_) D5,D6: 8.. / D5 = 8 ==> 0 pairs (_) / D6 = 8 ==> 1 pairs (_) H2,I2: 8.. / H2 = 8 ==> 1 pairs (_) / I2 = 8 ==> 0 pairs (_) D7,E8: 2.. / D7 = 2 ==> 1 pairs (_) / E8 = 2 ==> 0 pairs (_) F8,D9: 3.. / F8 = 3 ==> 0 pairs (_) / D9 = 3 ==> 0 pairs (_) * DURATION: 0:01:01.127460 START: 20:20:50.115074 END: 20:21:51.242534 2020-12-21 * REASONING G3,I3: 9.. * DIS # G3: 9 # I8: 5,7 => CTR => I8: 6,8,9 * DIS # G3: 9 + I8: 6,8,9 # H9: 1,5 => CTR => H9: 6,8,9 * CNT 2 HDP CHAINS / 36 HYP OPENED * REASONING B2,C2: 7.. * DIS # C2: 7 # B4: 1,2 => CTR => B4: 4,7 * CNT 1 HDP CHAINS / 20 HYP OPENED * DCP COUNT: (11) * INCONCLUSIVE -------------------------------------------------- * VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE) G3,I3: 9.. / G3 = 9 ==> 0 pairs (*) / I3 = 9 => 0 pairs (X) * DURATION: 0:00:43.381873 START: 20:21:51.364629 END: 20:22:34.746502 2020-12-21 * REASONING G3,I3: 9.. * DIS # G3: 9 # I8: 5,7 => CTR => I8: 6,8,9 * DIS # G3: 9 + I8: 6,8,9 # H9: 1,5 => CTR => H9: 6,8,9 * DIS # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # H1: 3,5 # F1: 1 => CTR => F1: 3,5 * DIS # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # H1: 3,5 + F1: 3,5 # I5: 6,7 => CTR => I5: 3,5 * DIS # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # H1: 3,5 + F1: 3,5 + I5: 3,5 # G5: 4,7 => CTR => G5: 2 * PRF # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # H1: 3,5 + F1: 3,5 + I5: 3,5 + G5: 2 # C8: 6,9 => SOL * STA # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # H1: 3,5 + F1: 3,5 + I5: 3,5 + G5: 2 + C8: 6,9 * CNT 6 HDP CHAINS / 44 HYP OPENED * VDCP COUNT: (1) * SOLUTION FOUND
Header Info
62549;12_11;GP;23;11.30;11.30;7.80
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for G3,I3: 9..:
* INC # G3: 9 # H1: 3,5 => UNS * INC # G3: 9 # I1: 3,5 => UNS * INC # G3: 9 # D3: 3,5 => UNS * INC # G3: 9 # D3: 2,6 => UNS * INC # G3: 9 # I5: 3,5 => UNS * INC # G3: 9 # I5: 4,6,7 => UNS * INC # G3: 9 # I4: 4,7 => UNS * INC # G3: 9 # G5: 4,7 => UNS * INC # G3: 9 # I5: 4,7 => UNS * INC # G3: 9 # A6: 4,7 => UNS * INC # G3: 9 # B6: 4,7 => UNS * INC # G3: 9 # E6: 4,7 => UNS * DIS # G3: 9 # I8: 5,7 => CTR => I8: 6,8,9 * INC # G3: 9 + I8: 6,8,9 # G5: 5,7 => UNS * INC # G3: 9 + I8: 6,8,9 # G5: 2,4 => UNS * DIS # G3: 9 + I8: 6,8,9 # H9: 1,5 => CTR => H9: 6,8,9 * INC # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # H1: 3,5 => UNS * INC # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # I1: 3,5 => UNS * INC # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # D3: 3,5 => UNS * INC # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # D3: 2,6 => UNS * INC # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # I5: 3,5 => UNS * INC # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # I5: 4,6,7 => UNS * INC # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # I4: 4,7 => UNS * INC # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # G5: 4,7 => UNS * INC # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # I5: 4,7 => UNS * INC # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # A6: 4,7 => UNS * INC # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # B6: 4,7 => UNS * INC # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # E6: 4,7 => UNS * INC # G3: 9 + I8: 6,8,9 + H9: 6,8,9 => UNS * INC # I3: 9 # I8: 6,7 => UNS * INC # I3: 9 # I8: 5,8 => UNS * INC # I3: 9 # C7: 6,7 => UNS * INC # I3: 9 # C7: 1,2,9 => UNS * INC # I3: 9 # I5: 6,7 => UNS * INC # I3: 9 # I5: 3,4,5 => UNS * INC # I3: 9 => UNS * CNT 36 HDP CHAINS / 36 HYP OPENED
Full list of HDP chains traversed for E5,E6: 7..:
* INC # E6: 7 # A5: 3,4 => UNS * INC # E6: 7 # A6: 3,4 => UNS * INC # E6: 7 # B9: 3,4 => UNS * INC # E6: 7 # B9: 1,6 => UNS * INC # E6: 7 # I4: 4,9 => UNS * INC # E6: 7 # I4: 5,7 => UNS * INC # E6: 7 # D6: 4,9 => UNS * INC # E6: 7 # D6: 6,8 => UNS * INC # E6: 7 => UNS * INC # E5: 7 # D5: 4,6 => UNS * INC # E5: 7 # F5: 4,6 => UNS * INC # E5: 7 # D6: 4,6 => UNS * INC # E5: 7 # E9: 4,6 => UNS * INC # E5: 7 # E9: 5 => UNS * INC # E5: 7 => UNS * CNT 15 HDP CHAINS / 15 HYP OPENED
Full list of HDP chains traversed for B2,C2: 7..:
* INC # B2: 7 # A5: 3,4 => UNS * INC # B2: 7 # A6: 3,4 => UNS * INC # B2: 7 # B9: 3,4 => UNS * INC # B2: 7 # B9: 1,6 => UNS * INC # B2: 7 => UNS * DIS # C2: 7 # B4: 1,2 => CTR => B4: 4,7 * INC # C2: 7 + B4: 4,7 # A5: 1,2 => UNS * INC # C2: 7 + B4: 4,7 # C5: 1,2 => UNS * INC # C2: 7 + B4: 4,7 # C1: 1,2 => UNS * INC # C2: 7 + B4: 4,7 # C7: 1,2 => UNS * INC # C2: 7 + B4: 4,7 # A5: 4,7 => UNS * INC # C2: 7 + B4: 4,7 # A6: 4,7 => UNS * INC # C2: 7 + B4: 4,7 # B6: 4,7 => UNS * INC # C2: 7 + B4: 4,7 # I4: 4,7 => UNS * INC # C2: 7 + B4: 4,7 # I4: 5,9 => UNS * INC # C2: 7 + B4: 4,7 # A5: 1,2 => UNS * INC # C2: 7 + B4: 4,7 # C5: 1,2 => UNS * INC # C2: 7 + B4: 4,7 # C1: 1,2 => UNS * INC # C2: 7 + B4: 4,7 # C7: 1,2 => UNS * INC # C2: 7 + B4: 4,7 => UNS * CNT 20 HDP CHAINS / 20 HYP OPENED
Full list of HDP chains traversed for I2,I8: 8..:
* INC # I8: 8 # I1: 3,4 => UNS * INC # I8: 8 # I1: 5 => UNS * INC # I8: 8 # D2: 3,4 => UNS * INC # I8: 8 # F2: 3,4 => UNS * INC # I8: 8 # I5: 3,4 => UNS * INC # I8: 8 # I5: 5,6,7 => UNS * INC # I8: 8 => UNS * INC # I2: 8 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
Full list of HDP chains traversed for H2,H9: 8..:
* INC # H2: 8 # I1: 3,4 => UNS * INC # H2: 8 # I1: 5 => UNS * INC # H2: 8 # D2: 3,4 => UNS * INC # H2: 8 # F2: 3,4 => UNS * INC # H2: 8 # I5: 3,4 => UNS * INC # H2: 8 # I5: 5,6,7 => UNS * INC # H2: 8 => UNS * INC # H9: 8 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
Full list of HDP chains traversed for A6,D6: 8..:
* INC # D6: 8 # G5: 2,5 => UNS * INC # D6: 8 # H5: 2,5 => UNS * INC # D6: 8 # H1: 2,5 => UNS * INC # D6: 8 # H1: 1,3 => UNS * INC # D6: 8 => UNS * INC # A6: 8 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
Full list of HDP chains traversed for I8,H9: 8..:
* INC # I8: 8 # I1: 3,4 => UNS * INC # I8: 8 # I1: 5 => UNS * INC # I8: 8 # D2: 3,4 => UNS * INC # I8: 8 # F2: 3,4 => UNS * INC # I8: 8 # I5: 3,4 => UNS * INC # I8: 8 # I5: 5,6,7 => UNS * INC # I8: 8 => UNS * INC # H9: 8 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
Full list of HDP chains traversed for D5,D6: 8..:
* INC # D6: 8 # G5: 2,5 => UNS * INC # D6: 8 # H5: 2,5 => UNS * INC # D6: 8 # H1: 2,5 => UNS * INC # D6: 8 # H1: 1,3 => UNS * INC # D6: 8 => UNS * INC # D5: 8 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
Full list of HDP chains traversed for H2,I2: 8..:
* INC # H2: 8 # I1: 3,4 => UNS * INC # H2: 8 # I1: 5 => UNS * INC # H2: 8 # D2: 3,4 => UNS * INC # H2: 8 # F2: 3,4 => UNS * INC # H2: 8 # I5: 3,4 => UNS * INC # H2: 8 # I5: 5,6,7 => UNS * INC # H2: 8 => UNS * INC # I2: 8 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
Full list of HDP chains traversed for D7,E8: 2..:
* INC # D7: 2 # F8: 5,6 => UNS * INC # D7: 2 # D9: 5,6 => UNS * INC # D7: 2 # E9: 5,6 => UNS * INC # D7: 2 # I8: 5,6 => UNS * INC # D7: 2 # I8: 7,8,9 => UNS * INC # D7: 2 # E3: 5,6 => UNS * INC # D7: 2 # E5: 5,6 => UNS * INC # D7: 2 => UNS * INC # E8: 2 => UNS * CNT 9 HDP CHAINS / 9 HYP OPENED
Full list of HDP chains traversed for F8,D9: 3..:
* INC # F8: 3 => UNS * INC # D9: 3 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A2. Very Deep Constraint Pair Analysis
Full list of HDP chains traversed for G3,I3: 9..:
* INC # G3: 9 # H1: 3,5 => UNS * INC # G3: 9 # I1: 3,5 => UNS * INC # G3: 9 # D3: 3,5 => UNS * INC # G3: 9 # D3: 2,6 => UNS * INC # G3: 9 # I5: 3,5 => UNS * INC # G3: 9 # I5: 4,6,7 => UNS * INC # G3: 9 # I4: 4,7 => UNS * INC # G3: 9 # G5: 4,7 => UNS * INC # G3: 9 # I5: 4,7 => UNS * INC # G3: 9 # A6: 4,7 => UNS * INC # G3: 9 # B6: 4,7 => UNS * INC # G3: 9 # E6: 4,7 => UNS * DIS # G3: 9 # I8: 5,7 => CTR => I8: 6,8,9 * INC # G3: 9 + I8: 6,8,9 # G5: 5,7 => UNS * INC # G3: 9 + I8: 6,8,9 # G5: 2,4 => UNS * DIS # G3: 9 + I8: 6,8,9 # H9: 1,5 => CTR => H9: 6,8,9 * INC # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # H1: 3,5 => UNS * INC # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # I1: 3,5 => UNS * INC # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # D3: 3,5 => UNS * INC # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # D3: 2,6 => UNS * INC # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # I5: 3,5 => UNS * INC # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # I5: 4,6,7 => UNS * INC # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # I4: 4,7 => UNS * INC # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # G5: 4,7 => UNS * INC # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # I5: 4,7 => UNS * INC # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # A6: 4,7 => UNS * INC # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # B6: 4,7 => UNS * INC # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # E6: 4,7 => UNS * INC # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # H1: 3,5 # F1: 3,5 => UNS * DIS # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # H1: 3,5 # F1: 1 => CTR => F1: 3,5 * INC # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # H1: 3,5 + F1: 3,5 # H5: 3,5 => UNS * INC # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # H1: 3,5 + F1: 3,5 # H5: 2,6 => UNS * INC # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # H1: 3,5 + F1: 3,5 # H5: 3,5 => UNS * INC # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # H1: 3,5 + F1: 3,5 # H5: 2,6 => UNS * INC # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # H1: 3,5 + F1: 3,5 # D3: 3,5 => UNS * INC # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # H1: 3,5 + F1: 3,5 # D3: 2,6 => UNS * INC # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # H1: 3,5 + F1: 3,5 # I5: 3,5 => UNS * DIS # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # H1: 3,5 + F1: 3,5 # I5: 6,7 => CTR => I5: 3,5 * INC # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # H1: 3,5 + F1: 3,5 + I5: 3,5 # D3: 3,5 => UNS * INC # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # H1: 3,5 + F1: 3,5 + I5: 3,5 # D3: 2,6 => UNS * DIS # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # H1: 3,5 + F1: 3,5 + I5: 3,5 # G5: 4,7 => CTR => G5: 2 * PRF # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # H1: 3,5 + F1: 3,5 + I5: 3,5 + G5: 2 # C8: 6,9 => SOL * STA # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # H1: 3,5 + F1: 3,5 + I5: 3,5 + G5: 2 + C8: 6,9 * CNT 42 HDP CHAINS / 44 HYP OPENED