Analysis of xx-ph-02123975-2018_12_01-base.sdk
Contents
Original Sudoku
level: deep
position: 98.7..6..5...84.....3.9....64...97....76...2...........9....8...6...7..1..5....67 initial
Autosolve
position: 98.7..6..5.6.84.....3.96...64...97....76...2...9.7...679..6.8...6...7..1..5....67 autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000006
List of important HDP chains detected for C4,C8: 8..:
* DIS # C4: 8 # G5: 1,3 => CTR => G5: 4,5,9 * DIS # C4: 8 + G5: 4,5,9 # I5: 3,5 => CTR => I5: 4,8,9 * DIS # C4: 8 + G5: 4,5,9 + I5: 4,8,9 # H6: 3,5 => CTR => H6: 1,4,8 * CNT 3 HDP CHAINS / 66 HYP OPENED
List of important HDP chains detected for H2,H8: 9..:
* DIS # H2: 9 # A3: 1,2 => CTR => A3: 4 * PRF # H2: 9 + A3: 4 # I1: 2,3 => SOL * STA # H2: 9 + A3: 4 + I1: 2,3 * CNT 2 HDP CHAINS / 8 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...84.....3.9....64...97....76...2...........9....8...6...7..1..5....67 | initial |
| 98.7..6..5.6.84.....3.96...64...97....76...2...9.7...679..6.8...6...7..1..5....67 | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) C1,A3: 4.. / C1 = 4 => 3 pairs (_) / A3 = 4 => 1 pairs (_) E5,D6: 4.. / E5 = 4 => 0 pairs (_) / D6 = 4 => 2 pairs (_) B5,B6: 5.. / B5 = 5 => 0 pairs (_) / B6 = 5 => 1 pairs (_) B2,B3: 7.. / B2 = 7 => 2 pairs (_) / B3 = 7 => 1 pairs (_) H2,H3: 7.. / H2 = 7 => 1 pairs (_) / H3 = 7 => 2 pairs (_) B2,H2: 7.. / B2 = 7 => 2 pairs (_) / H2 = 7 => 1 pairs (_) B3,H3: 7.. / B3 = 7 => 1 pairs (_) / H3 = 7 => 2 pairs (_) H3,I3: 8.. / H3 = 8 => 1 pairs (_) / I3 = 8 => 1 pairs (_) C4,C8: 8.. / C4 = 8 => 3 pairs (_) / C8 = 8 => 1 pairs (_) G5,I5: 9.. / G5 = 9 => 0 pairs (_) / I5 = 9 => 1 pairs (_) D8,D9: 9.. / D8 = 9 => 3 pairs (_) / D9 = 9 => 0 pairs (_) D9,G9: 9.. / D9 = 9 => 0 pairs (_) / G9 = 9 => 3 pairs (_) H2,H8: 9.. / H2 = 9 => 3 pairs (_) / H8 = 9 => 0 pairs (_) I2,I5: 9.. / I2 = 9 => 0 pairs (_) / I5 = 9 => 1 pairs (_) * DURATION: 0:00:10.868187 START: 08:22:13.903779 END: 08:22:24.771966 2020-09-23 * CP COUNT: (14) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) C4,C8: 8.. / C4 = 8 ==> 3 pairs (_) / C8 = 8 ==> 1 pairs (_) C1,A3: 4.. / C1 = 4 ==> 3 pairs (_) / A3 = 4 ==> 1 pairs (_) H2,H8: 9.. / H2 = 9 ==> 0 pairs (*) / H8 = 9 => 0 pairs (X) * DURATION: 0:01:07.311741 START: 08:22:24.772650 END: 08:23:32.084391 2020-09-23 * REASONING C4,C8: 8.. * DIS # C4: 8 # G5: 1,3 => CTR => G5: 4,5,9 * DIS # C4: 8 + G5: 4,5,9 # I5: 3,5 => CTR => I5: 4,8,9 * DIS # C4: 8 + G5: 4,5,9 + I5: 4,8,9 # H6: 3,5 => CTR => H6: 1,4,8 * CNT 3 HDP CHAINS / 66 HYP OPENED * REASONING H2,H8: 9.. * DIS # H2: 9 # A3: 1,2 => CTR => A3: 4 * PRF # H2: 9 + A3: 4 # I1: 2,3 => SOL * STA # H2: 9 + A3: 4 + I1: 2,3 * CNT 2 HDP CHAINS / 8 HYP OPENED * DCP COUNT: (3) * SOLUTION FOUND
Header Info
2123975;2018_12_01;PAQ;24;11.60;1.20;1.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for C4,C8: 8..:
* INC # C4: 8 # B5: 1,3 => UNS * INC # C4: 8 # A6: 1,3 => UNS * INC # C4: 8 # B6: 1,3 => UNS * INC # C4: 8 # E5: 1,3 => UNS * INC # C4: 8 # F5: 1,3 => UNS * DIS # C4: 8 # G5: 1,3 => CTR => G5: 4,5,9 * INC # C4: 8 + G5: 4,5,9 # A9: 1,3 => UNS * INC # C4: 8 + G5: 4,5,9 # A9: 2,4,8 => UNS * INC # C4: 8 + G5: 4,5,9 # B5: 1,3 => UNS * INC # C4: 8 + G5: 4,5,9 # A6: 1,3 => UNS * INC # C4: 8 + G5: 4,5,9 # B6: 1,3 => UNS * INC # C4: 8 + G5: 4,5,9 # E5: 1,3 => UNS * INC # C4: 8 + G5: 4,5,9 # F5: 1,3 => UNS * INC # C4: 8 + G5: 4,5,9 # A9: 1,3 => UNS * INC # C4: 8 + G5: 4,5,9 # A9: 2,4,8 => UNS * INC # C4: 8 + G5: 4,5,9 # H4: 3,5 => UNS * DIS # C4: 8 + G5: 4,5,9 # I5: 3,5 => CTR => I5: 4,8,9 * INC # C4: 8 + G5: 4,5,9 + I5: 4,8,9 # G6: 3,5 => UNS * DIS # C4: 8 + G5: 4,5,9 + I5: 4,8,9 # H6: 3,5 => CTR => H6: 1,4,8 * INC # C4: 8 + G5: 4,5,9 + I5: 4,8,9 + H6: 1,4,8 # D4: 3,5 => UNS * INC # C4: 8 + G5: 4,5,9 + I5: 4,8,9 + H6: 1,4,8 # E4: 3,5 => UNS * INC # C4: 8 + G5: 4,5,9 + I5: 4,8,9 + H6: 1,4,8 # I1: 3,5 => UNS * INC # C4: 8 + G5: 4,5,9 + I5: 4,8,9 + H6: 1,4,8 # I7: 3,5 => UNS * INC # C4: 8 + G5: 4,5,9 + I5: 4,8,9 + H6: 1,4,8 # H4: 3,5 => UNS * INC # C4: 8 + G5: 4,5,9 + I5: 4,8,9 + H6: 1,4,8 # G6: 3,5 => UNS * INC # C4: 8 + G5: 4,5,9 + I5: 4,8,9 + H6: 1,4,8 # D4: 3,5 => UNS * INC # C4: 8 + G5: 4,5,9 + I5: 4,8,9 + H6: 1,4,8 # E4: 3,5 => UNS * INC # C4: 8 + G5: 4,5,9 + I5: 4,8,9 + H6: 1,4,8 # I1: 3,5 => UNS * INC # C4: 8 + G5: 4,5,9 + I5: 4,8,9 + H6: 1,4,8 # I7: 3,5 => UNS * INC # C4: 8 + G5: 4,5,9 + I5: 4,8,9 + H6: 1,4,8 # C7: 2,4 => UNS * INC # C4: 8 + G5: 4,5,9 + I5: 4,8,9 + H6: 1,4,8 # A8: 2,4 => UNS * INC # C4: 8 + G5: 4,5,9 + I5: 4,8,9 + H6: 1,4,8 # A9: 2,4 => UNS * INC # C4: 8 + G5: 4,5,9 + I5: 4,8,9 + H6: 1,4,8 # D8: 2,4 => UNS * INC # C4: 8 + G5: 4,5,9 + I5: 4,8,9 + H6: 1,4,8 # E8: 2,4 => UNS * INC # C4: 8 + G5: 4,5,9 + I5: 4,8,9 + H6: 1,4,8 # G8: 2,4 => UNS * INC # C4: 8 + G5: 4,5,9 + I5: 4,8,9 + H6: 1,4,8 # C1: 2,4 => UNS * INC # C4: 8 + G5: 4,5,9 + I5: 4,8,9 + H6: 1,4,8 # C1: 1 => UNS * INC # C4: 8 + G5: 4,5,9 + I5: 4,8,9 + H6: 1,4,8 # B5: 1,3 => UNS * INC # C4: 8 + G5: 4,5,9 + I5: 4,8,9 + H6: 1,4,8 # A6: 1,3 => UNS * INC # C4: 8 + G5: 4,5,9 + I5: 4,8,9 + H6: 1,4,8 # B6: 1,3 => UNS * INC # C4: 8 + G5: 4,5,9 + I5: 4,8,9 + H6: 1,4,8 # E5: 1,3 => UNS * INC # C4: 8 + G5: 4,5,9 + I5: 4,8,9 + H6: 1,4,8 # F5: 1,3 => UNS * INC # C4: 8 + G5: 4,5,9 + I5: 4,8,9 + H6: 1,4,8 # A9: 1,3 => UNS * INC # C4: 8 + G5: 4,5,9 + I5: 4,8,9 + H6: 1,4,8 # A9: 2,4,8 => UNS * INC # C4: 8 + G5: 4,5,9 + I5: 4,8,9 + H6: 1,4,8 # H4: 3,5 => UNS * INC # C4: 8 + G5: 4,5,9 + I5: 4,8,9 + H6: 1,4,8 # G6: 3,5 => UNS * INC # C4: 8 + G5: 4,5,9 + I5: 4,8,9 + H6: 1,4,8 # D4: 3,5 => UNS * INC # C4: 8 + G5: 4,5,9 + I5: 4,8,9 + H6: 1,4,8 # E4: 3,5 => UNS * INC # C4: 8 + G5: 4,5,9 + I5: 4,8,9 + H6: 1,4,8 # I1: 3,5 => UNS * INC # C4: 8 + G5: 4,5,9 + I5: 4,8,9 + H6: 1,4,8 # I7: 3,5 => UNS * INC # C4: 8 + G5: 4,5,9 + I5: 4,8,9 + H6: 1,4,8 # C7: 2,4 => UNS * INC # C4: 8 + G5: 4,5,9 + I5: 4,8,9 + H6: 1,4,8 # A8: 2,4 => UNS * INC # C4: 8 + G5: 4,5,9 + I5: 4,8,9 + H6: 1,4,8 # A9: 2,4 => UNS * INC # C4: 8 + G5: 4,5,9 + I5: 4,8,9 + H6: 1,4,8 # D8: 2,4 => UNS * INC # C4: 8 + G5: 4,5,9 + I5: 4,8,9 + H6: 1,4,8 # E8: 2,4 => UNS * INC # C4: 8 + G5: 4,5,9 + I5: 4,8,9 + H6: 1,4,8 # G8: 2,4 => UNS * INC # C4: 8 + G5: 4,5,9 + I5: 4,8,9 + H6: 1,4,8 # C1: 2,4 => UNS * INC # C4: 8 + G5: 4,5,9 + I5: 4,8,9 + H6: 1,4,8 # C1: 1 => UNS * INC # C4: 8 + G5: 4,5,9 + I5: 4,8,9 + H6: 1,4,8 => UNS * INC # C8: 8 # A6: 1,2 => UNS * INC # C8: 8 # B6: 1,2 => UNS * INC # C8: 8 # D4: 1,2 => UNS * INC # C8: 8 # E4: 1,2 => UNS * INC # C8: 8 # C1: 1,2 => UNS * INC # C8: 8 # C7: 1,2 => UNS * INC # C8: 8 => UNS * CNT 66 HDP CHAINS / 66 HYP OPENED
Full list of HDP chains traversed for C1,A3: 4..:
* INC # C1: 4 # B2: 1,2 => UNS * INC # C1: 4 # B3: 1,2 => UNS * INC # C1: 4 # D3: 1,2 => UNS * INC # C1: 4 # G3: 1,2 => UNS * INC # C1: 4 # A6: 1,2 => UNS * INC # C1: 4 # A9: 1,2 => UNS * INC # C1: 4 # A9: 1,2 => UNS * INC # C1: 4 # B9: 1,2 => UNS * INC # C1: 4 # D7: 1,2 => UNS * INC # C1: 4 # F7: 1,2 => UNS * INC # C1: 4 # C4: 1,2 => UNS * INC # C1: 4 # C4: 8 => UNS * INC # C1: 4 # A8: 2,8 => UNS * INC # C1: 4 # A9: 2,8 => UNS * INC # C1: 4 # D8: 2,8 => UNS * INC # C1: 4 # D8: 3,4,5,9 => UNS * INC # C1: 4 # C4: 2,8 => UNS * INC # C1: 4 # C4: 1 => UNS * INC # C1: 4 => UNS * INC # A3: 4 # B2: 1,2 => UNS * INC # A3: 4 # B3: 1,2 => UNS * INC # A3: 4 # E1: 1,2 => UNS * INC # A3: 4 # F1: 1,2 => UNS * INC # A3: 4 # C4: 1,2 => UNS * INC # A3: 4 # C7: 1,2 => UNS * INC # A3: 4 => UNS * CNT 26 HDP CHAINS / 26 HYP OPENED
Full list of HDP chains traversed for H2,H8: 9..:
* INC # H2: 9 # C1: 1,2 => UNS * DIS # H2: 9 # A3: 1,2 => CTR => A3: 4 * INC # H2: 9 + A3: 4 # D3: 1,2 => UNS * INC # H2: 9 + A3: 4 # G3: 1,2 => UNS * INC # H2: 9 + A3: 4 # B6: 1,2 => UNS * INC # H2: 9 + A3: 4 # B9: 1,2 => UNS * PRF # H2: 9 + A3: 4 # I1: 2,3 => SOL * STA # H2: 9 + A3: 4 + I1: 2,3 * CNT 7 HDP CHAINS / 8 HYP OPENED