Analysis of xx-ph-02123965-2018_12_01-base.sdk
Contents
Original Sudoku
level: deep
position: 98.7..6....5.94.3.........74..8.2....1.4.......8.3..4..4.....8...9..8..5......9.3 initial
Autosolve
position: 98.7..6.4..5.94.3...4.8..974..8.2....1.4.......8.3..4..4.....8...9..84.58...4.9.3 autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000006
List of important HDP chains detected for C1,F1: 3..:
* DIS # C1: 3 # B6: 2,6 => CTR => B6: 5,7,9 * DIS # C1: 3 + B6: 5,7,9 # B4: 6,7 => CTR => B4: 3,5,9 * DIS # C1: 3 + B6: 5,7,9 + B4: 3,5,9 # A5: 6,7 => CTR => A5: 2,3,5 * CNT 3 HDP CHAINS / 60 HYP OPENED
List of important HDP chains detected for D6,D7: 9..:
* DIS # D6: 9 # G3: 1,2 => CTR => G3: 5 * DIS # D6: 9 + G3: 5 # A5: 6,7 => CTR => A5: 2,3,5 * DIS # D6: 9 + G3: 5 + A5: 2,3,5 # C5: 6,7 => CTR => C5: 2,3 * PRF # D6: 9 + G3: 5 + A5: 2,3,5 + C5: 2,3 # H4: 1,6 => SOL * STA # D6: 9 + G3: 5 + A5: 2,3,5 + C5: 2,3 + H4: 1,6 * CNT 4 HDP CHAINS / 16 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....5.94.3.........74..8.2....1.4.......8.3..4..4.....8...9..8..5......9.3 | initial |
| 98.7..6.4..5.94.3...4.8..974..8.2....1.4.......8.3..4..4.....8...9..84.58...4.9.3 | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) G4,G5: 3.. / G4 = 3 => 1 pairs (_) / G5 = 3 => 1 pairs (_) C1,F1: 3.. / C1 = 3 => 3 pairs (_) / F1 = 3 => 1 pairs (_) H1,G3: 5.. / H1 = 5 => 3 pairs (_) / G3 = 5 => 1 pairs (_) A7,B9: 5.. / A7 = 5 => 2 pairs (_) / B9 = 5 => 0 pairs (_) A2,B2: 7.. / A2 = 7 => 1 pairs (_) / B2 = 7 => 0 pairs (_) G2,I2: 8.. / G2 = 8 => 1 pairs (_) / I2 = 8 => 2 pairs (_) G5,I5: 8.. / G5 = 8 => 2 pairs (_) / I5 = 8 => 1 pairs (_) G2,G5: 8.. / G2 = 8 => 1 pairs (_) / G5 = 8 => 2 pairs (_) I2,I5: 8.. / I2 = 8 => 2 pairs (_) / I5 = 8 => 1 pairs (_) B4,B6: 9.. / B4 = 9 => 1 pairs (_) / B6 = 9 => 0 pairs (_) D7,F7: 9.. / D7 = 9 => 0 pairs (_) / F7 = 9 => 3 pairs (_) B4,I4: 9.. / B4 = 9 => 1 pairs (_) / I4 = 9 => 0 pairs (_) F5,I5: 9.. / F5 = 9 => 0 pairs (_) / I5 = 9 => 3 pairs (_) D6,D7: 9.. / D6 = 9 => 3 pairs (_) / D7 = 9 => 0 pairs (_) * DURATION: 0:00:11.602903 START: 06:45:53.078080 END: 06:46:04.680983 2020-09-23 * CP COUNT: (14) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) H1,G3: 5.. / H1 = 5 ==> 3 pairs (_) / G3 = 5 ==> 1 pairs (_) C1,F1: 3.. / C1 = 3 ==> 3 pairs (_) / F1 = 3 ==> 1 pairs (_) D6,D7: 9.. / D6 = 9 ==> 0 pairs (*) / D7 = 9 => 0 pairs (X) * DURATION: 0:01:05.411221 START: 06:46:04.681637 END: 06:47:10.092858 2020-09-23 * REASONING C1,F1: 3.. * DIS # C1: 3 # B6: 2,6 => CTR => B6: 5,7,9 * DIS # C1: 3 + B6: 5,7,9 # B4: 6,7 => CTR => B4: 3,5,9 * DIS # C1: 3 + B6: 5,7,9 + B4: 3,5,9 # A5: 6,7 => CTR => A5: 2,3,5 * CNT 3 HDP CHAINS / 60 HYP OPENED * REASONING D6,D7: 9.. * DIS # D6: 9 # G3: 1,2 => CTR => G3: 5 * DIS # D6: 9 + G3: 5 # A5: 6,7 => CTR => A5: 2,3,5 * DIS # D6: 9 + G3: 5 + A5: 2,3,5 # C5: 6,7 => CTR => C5: 2,3 * PRF # D6: 9 + G3: 5 + A5: 2,3,5 + C5: 2,3 # H4: 1,6 => SOL * STA # D6: 9 + G3: 5 + A5: 2,3,5 + C5: 2,3 + H4: 1,6 * CNT 4 HDP CHAINS / 16 HYP OPENED * DCP COUNT: (3) * SOLUTION FOUND
Header Info
2123965;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 H1,G3: 5..:
* INC # H1: 5 # D2: 1,2 => UNS * INC # H1: 5 # D3: 1,2 => UNS * INC # H1: 5 # C1: 1,2 => UNS * INC # H1: 5 # C1: 3 => UNS * INC # H1: 5 # E7: 1,2 => UNS * INC # H1: 5 # E8: 1,2 => UNS * INC # H1: 5 # D3: 1,3 => UNS * INC # H1: 5 # F3: 1,3 => UNS * INC # H1: 5 # C1: 1,3 => UNS * INC # H1: 5 # C1: 2 => UNS * INC # H1: 5 # F7: 1,3 => UNS * INC # H1: 5 # F7: 5,6,7,9 => UNS * INC # H1: 5 # G2: 1,2 => UNS * INC # H1: 5 # I2: 1,2 => UNS * INC # H1: 5 # A3: 1,2 => UNS * INC # H1: 5 # D3: 1,2 => UNS * INC # H1: 5 # G6: 1,2 => UNS * INC # H1: 5 # G7: 1,2 => UNS * INC # H1: 5 => UNS * INC # G3: 5 # G2: 1,2 => UNS * INC # G3: 5 # I2: 1,2 => UNS * INC # G3: 5 # C1: 1,2 => UNS * INC # G3: 5 # E1: 1,2 => UNS * INC # G3: 5 # H8: 1,2 => UNS * INC # G3: 5 # H9: 1,2 => UNS * INC # G3: 5 => UNS * CNT 26 HDP CHAINS / 26 HYP OPENED
Full list of HDP chains traversed for C1,F1: 3..:
* INC # C1: 3 # A2: 2,6 => UNS * INC # C1: 3 # B2: 2,6 => UNS * INC # C1: 3 # A3: 2,6 => UNS * INC # C1: 3 # D3: 2,6 => UNS * INC # C1: 3 # D3: 1,3,5 => UNS * DIS # C1: 3 # B6: 2,6 => CTR => B6: 5,7,9 * INC # C1: 3 + B6: 5,7,9 # B8: 2,6 => UNS * INC # C1: 3 + B6: 5,7,9 # B9: 2,6 => UNS * INC # C1: 3 + B6: 5,7,9 # A2: 2,6 => UNS * INC # C1: 3 + B6: 5,7,9 # B2: 2,6 => UNS * INC # C1: 3 + B6: 5,7,9 # A3: 2,6 => UNS * INC # C1: 3 + B6: 5,7,9 # D3: 2,6 => UNS * INC # C1: 3 + B6: 5,7,9 # D3: 1,3,5 => UNS * INC # C1: 3 + B6: 5,7,9 # B8: 2,6 => UNS * INC # C1: 3 + B6: 5,7,9 # B9: 2,6 => UNS * INC # C1: 3 + B6: 5,7,9 # E1: 1,5 => UNS * INC # C1: 3 + B6: 5,7,9 # D3: 1,5 => UNS * INC # C1: 3 + B6: 5,7,9 # F3: 1,5 => UNS * INC # C1: 3 + B6: 5,7,9 # H1: 1,5 => UNS * INC # C1: 3 + B6: 5,7,9 # H1: 2 => UNS * INC # C1: 3 + B6: 5,7,9 # F6: 1,5 => UNS * INC # C1: 3 + B6: 5,7,9 # F7: 1,5 => UNS * INC # C1: 3 + B6: 5,7,9 # F9: 1,5 => UNS * DIS # C1: 3 + B6: 5,7,9 # B4: 6,7 => CTR => B4: 3,5,9 * DIS # C1: 3 + B6: 5,7,9 + B4: 3,5,9 # A5: 6,7 => CTR => A5: 2,3,5 * INC # C1: 3 + B6: 5,7,9 + B4: 3,5,9 + A5: 2,3,5 # C5: 6,7 => UNS * INC # C1: 3 + B6: 5,7,9 + B4: 3,5,9 + A5: 2,3,5 # A6: 6,7 => UNS * INC # C1: 3 + B6: 5,7,9 + B4: 3,5,9 + A5: 2,3,5 # E4: 6,7 => UNS * INC # C1: 3 + B6: 5,7,9 + B4: 3,5,9 + A5: 2,3,5 # H4: 6,7 => UNS * INC # C1: 3 + B6: 5,7,9 + B4: 3,5,9 + A5: 2,3,5 # C7: 6,7 => UNS * INC # C1: 3 + B6: 5,7,9 + B4: 3,5,9 + A5: 2,3,5 # C9: 6,7 => UNS * INC # C1: 3 + B6: 5,7,9 + B4: 3,5,9 + A5: 2,3,5 # A2: 2,6 => UNS * INC # C1: 3 + B6: 5,7,9 + B4: 3,5,9 + A5: 2,3,5 # B2: 2,6 => UNS * INC # C1: 3 + B6: 5,7,9 + B4: 3,5,9 + A5: 2,3,5 # A3: 2,6 => UNS * INC # C1: 3 + B6: 5,7,9 + B4: 3,5,9 + A5: 2,3,5 # D3: 2,6 => UNS * INC # C1: 3 + B6: 5,7,9 + B4: 3,5,9 + A5: 2,3,5 # D3: 1,3,5 => UNS * INC # C1: 3 + B6: 5,7,9 + B4: 3,5,9 + A5: 2,3,5 # B8: 2,6 => UNS * INC # C1: 3 + B6: 5,7,9 + B4: 3,5,9 + A5: 2,3,5 # B9: 2,6 => UNS * INC # C1: 3 + B6: 5,7,9 + B4: 3,5,9 + A5: 2,3,5 # E1: 1,5 => UNS * INC # C1: 3 + B6: 5,7,9 + B4: 3,5,9 + A5: 2,3,5 # D3: 1,5 => UNS * INC # C1: 3 + B6: 5,7,9 + B4: 3,5,9 + A5: 2,3,5 # F3: 1,5 => UNS * INC # C1: 3 + B6: 5,7,9 + B4: 3,5,9 + A5: 2,3,5 # H1: 1,5 => UNS * INC # C1: 3 + B6: 5,7,9 + B4: 3,5,9 + A5: 2,3,5 # H1: 2 => UNS * INC # C1: 3 + B6: 5,7,9 + B4: 3,5,9 + A5: 2,3,5 # F6: 1,5 => UNS * INC # C1: 3 + B6: 5,7,9 + B4: 3,5,9 + A5: 2,3,5 # F7: 1,5 => UNS * INC # C1: 3 + B6: 5,7,9 + B4: 3,5,9 + A5: 2,3,5 # F9: 1,5 => UNS * INC # C1: 3 + B6: 5,7,9 + B4: 3,5,9 + A5: 2,3,5 # C5: 6,7 => UNS * INC # C1: 3 + B6: 5,7,9 + B4: 3,5,9 + A5: 2,3,5 # A6: 6,7 => UNS * INC # C1: 3 + B6: 5,7,9 + B4: 3,5,9 + A5: 2,3,5 # E4: 6,7 => UNS * INC # C1: 3 + B6: 5,7,9 + B4: 3,5,9 + A5: 2,3,5 # H4: 6,7 => UNS * INC # C1: 3 + B6: 5,7,9 + B4: 3,5,9 + A5: 2,3,5 # C7: 6,7 => UNS * INC # C1: 3 + B6: 5,7,9 + B4: 3,5,9 + A5: 2,3,5 # C9: 6,7 => UNS * INC # C1: 3 + B6: 5,7,9 + B4: 3,5,9 + A5: 2,3,5 => UNS * INC # F1: 3 # A2: 1,2 => UNS * INC # F1: 3 # A3: 1,2 => UNS * INC # F1: 3 # E1: 1,2 => UNS * INC # F1: 3 # H1: 1,2 => UNS * INC # F1: 3 # C7: 1,2 => UNS * INC # F1: 3 # C9: 1,2 => UNS * INC # F1: 3 => UNS * CNT 60 HDP CHAINS / 60 HYP OPENED
Full list of HDP chains traversed for D6,D7: 9..:
* INC # D6: 9 # H1: 1,2 => UNS * DIS # D6: 9 # G3: 1,2 => CTR => G3: 5 * INC # D6: 9 + G3: 5 # A2: 1,2 => UNS * INC # D6: 9 + G3: 5 # D2: 1,2 => UNS * INC # D6: 9 + G3: 5 # G6: 1,2 => UNS * INC # D6: 9 + G3: 5 # G7: 1,2 => UNS * DIS # D6: 9 + G3: 5 # A5: 6,7 => CTR => A5: 2,3,5 * DIS # D6: 9 + G3: 5 + A5: 2,3,5 # C5: 6,7 => CTR => C5: 2,3 * INC # D6: 9 + G3: 5 + A5: 2,3,5 + C5: 2,3 # A6: 6,7 => UNS * INC # D6: 9 + G3: 5 + A5: 2,3,5 + C5: 2,3 # B6: 6,7 => UNS * INC # D6: 9 + G3: 5 + A5: 2,3,5 + C5: 2,3 # E4: 6,7 => UNS * INC # D6: 9 + G3: 5 + A5: 2,3,5 + C5: 2,3 # H4: 6,7 => UNS * INC # D6: 9 + G3: 5 + A5: 2,3,5 + C5: 2,3 # C7: 6,7 => UNS * INC # D6: 9 + G3: 5 + A5: 2,3,5 + C5: 2,3 # C9: 6,7 => UNS * PRF # D6: 9 + G3: 5 + A5: 2,3,5 + C5: 2,3 # H4: 1,6 => SOL * STA # D6: 9 + G3: 5 + A5: 2,3,5 + C5: 2,3 + H4: 1,6 * CNT 15 HDP CHAINS / 16 HYP OPENED