Analysis of xx-ph-02237035-2019_01_07-base.sdk
Contents
Original Sudoku
level: deep
position: 98.76....75.4.......3.58...5...793.....3...2.........73.......1.7..358.....6...7. initial
Autosolve
position: 98.76....75.4.......3.587..5...793....73...2..3.5....73....7..1.7..358.....6...73 autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000006
List of important HDP chains detected for D4,D7: 8..:
* DIS # D4: 8 # G5: 1,4 => CTR => G5: 5,6,9 * DIS # D4: 8 + G5: 5,6,9 # I5: 4,6 => CTR => I5: 5,8,9 * DIS # D4: 8 + G5: 5,6,9 + I5: 5,8,9 # H6: 4,6 => CTR => H6: 1,8,9 * CNT 3 HDP CHAINS / 66 HYP OPENED
List of important HDP chains detected for H1,H7: 5..:
* DIS # H1: 5 # E2: 1,2 => CTR => E2: 9 * PRF # H1: 5 + E2: 9 # I3: 2,4 => SOL * STA # H1: 5 + E2: 9 + I3: 2,4 * 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
| 98.76....75.4.......3.58...5...793.....3...2.........73.......1.7..358.....6...7. | initial |
| 98.76....75.4.......3.587..5...793....73...2..3.5....73....7..1.7..358.....6...73 | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) F1,F2: 3.. / F1 = 3 => 2 pairs (_) / F2 = 3 => 1 pairs (_) H1,H2: 3.. / H1 = 3 => 1 pairs (_) / H2 = 3 => 2 pairs (_) F1,H1: 3.. / F1 = 3 => 2 pairs (_) / H1 = 3 => 1 pairs (_) F2,H2: 3.. / F2 = 3 => 1 pairs (_) / H2 = 3 => 2 pairs (_) G5,I5: 5.. / G5 = 5 => 0 pairs (_) / I5 = 5 => 1 pairs (_) C7,C9: 5.. / C7 = 5 => 3 pairs (_) / C9 = 5 => 0 pairs (_) C9,G9: 5.. / C9 = 5 => 0 pairs (_) / G9 = 5 => 3 pairs (_) H1,H7: 5.. / H1 = 5 => 3 pairs (_) / H7 = 5 => 0 pairs (_) I1,I5: 5.. / I1 = 5 => 0 pairs (_) / I5 = 5 => 1 pairs (_) F5,F6: 6.. / F5 = 6 => 0 pairs (_) / F6 = 6 => 1 pairs (_) H2,I2: 8.. / H2 = 8 => 1 pairs (_) / I2 = 8 => 1 pairs (_) D4,D7: 8.. / D4 = 8 => 3 pairs (_) / D7 = 8 => 1 pairs (_) E2,D3: 9.. / E2 = 9 => 1 pairs (_) / D3 = 9 => 3 pairs (_) B5,C6: 9.. / B5 = 9 => 0 pairs (_) / C6 = 9 => 2 pairs (_) * DURATION: 0:00:09.857704 START: 06:48:47.160747 END: 06:48:57.018451 2020-09-24 * CP COUNT: (14) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) E2,D3: 9.. / E2 = 9 ==> 1 pairs (_) / D3 = 9 ==> 3 pairs (_) D4,D7: 8.. / D4 = 8 ==> 3 pairs (_) / D7 = 8 ==> 1 pairs (_) H1,H7: 5.. / H1 = 5 ==> 0 pairs (*) / H7 = 5 => 0 pairs (X) * DURATION: 0:00:56.031858 START: 06:48:57.019101 END: 06:49:53.050959 2020-09-24 * REASONING D4,D7: 8.. * DIS # D4: 8 # G5: 1,4 => CTR => G5: 5,6,9 * DIS # D4: 8 + G5: 5,6,9 # I5: 4,6 => CTR => I5: 5,8,9 * DIS # D4: 8 + G5: 5,6,9 + I5: 5,8,9 # H6: 4,6 => CTR => H6: 1,8,9 * CNT 3 HDP CHAINS / 66 HYP OPENED * REASONING H1,H7: 5.. * DIS # H1: 5 # E2: 1,2 => CTR => E2: 9 * PRF # H1: 5 + E2: 9 # I3: 2,4 => SOL * STA # H1: 5 + E2: 9 + I3: 2,4 * CNT 2 HDP CHAINS / 8 HYP OPENED * DCP COUNT: (3) * SOLUTION FOUND
Header Info
2237035;2019_01_07;PAQ;25;11.60;1.20;1.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for E2,D3: 9..:
* INC # D3: 9 # F1: 1,2 => UNS * INC # D3: 9 # F2: 1,2 => UNS * INC # D3: 9 # C2: 1,2 => UNS * INC # D3: 9 # G2: 1,2 => UNS * INC # D3: 9 # E6: 1,2 => UNS * INC # D3: 9 # E9: 1,2 => UNS * INC # D3: 9 # E7: 2,8 => UNS * INC # D3: 9 # E9: 2,8 => UNS * INC # D3: 9 # C7: 2,8 => UNS * INC # D3: 9 # C7: 4,5,6,9 => UNS * INC # D3: 9 # D4: 2,8 => UNS * INC # D3: 9 # D4: 1 => UNS * INC # D3: 9 # E9: 1,2 => UNS * INC # D3: 9 # F9: 1,2 => UNS * INC # D3: 9 # A8: 1,2 => UNS * INC # D3: 9 # C8: 1,2 => UNS * INC # D3: 9 # D4: 1,2 => UNS * INC # D3: 9 # D4: 8 => UNS * INC # D3: 9 => UNS * INC # E2: 9 # F1: 1,2 => UNS * INC # E2: 9 # F2: 1,2 => UNS * INC # E2: 9 # A3: 1,2 => UNS * INC # E2: 9 # B3: 1,2 => UNS * INC # E2: 9 # D4: 1,2 => UNS * INC # E2: 9 # D8: 1,2 => UNS * INC # E2: 9 => UNS * CNT 26 HDP CHAINS / 26 HYP OPENED
Full list of HDP chains traversed for D4,D7: 8..:
* INC # D4: 8 # F5: 1,4 => UNS * INC # D4: 8 # E6: 1,4 => UNS * INC # D4: 8 # F6: 1,4 => UNS * INC # D4: 8 # A5: 1,4 => UNS * INC # D4: 8 # B5: 1,4 => UNS * DIS # D4: 8 # G5: 1,4 => CTR => G5: 5,6,9 * INC # D4: 8 + G5: 5,6,9 # E9: 1,4 => UNS * INC # D4: 8 + G5: 5,6,9 # E9: 2,8,9 => UNS * INC # D4: 8 + G5: 5,6,9 # F5: 1,4 => UNS * INC # D4: 8 + G5: 5,6,9 # E6: 1,4 => UNS * INC # D4: 8 + G5: 5,6,9 # F6: 1,4 => UNS * INC # D4: 8 + G5: 5,6,9 # A5: 1,4 => UNS * INC # D4: 8 + G5: 5,6,9 # B5: 1,4 => UNS * INC # D4: 8 + G5: 5,6,9 # E9: 1,4 => UNS * INC # D4: 8 + G5: 5,6,9 # E9: 2,8,9 => UNS * INC # D4: 8 + G5: 5,6,9 # H4: 4,6 => UNS * DIS # D4: 8 + G5: 5,6,9 # I5: 4,6 => CTR => I5: 5,8,9 * INC # D4: 8 + G5: 5,6,9 + I5: 5,8,9 # G6: 4,6 => UNS * DIS # D4: 8 + G5: 5,6,9 + I5: 5,8,9 # H6: 4,6 => CTR => H6: 1,8,9 * INC # D4: 8 + G5: 5,6,9 + I5: 5,8,9 + H6: 1,8,9 # B4: 4,6 => UNS * INC # D4: 8 + G5: 5,6,9 + I5: 5,8,9 + H6: 1,8,9 # C4: 4,6 => UNS * INC # D4: 8 + G5: 5,6,9 + I5: 5,8,9 + H6: 1,8,9 # I3: 4,6 => UNS * INC # D4: 8 + G5: 5,6,9 + I5: 5,8,9 + H6: 1,8,9 # I8: 4,6 => UNS * INC # D4: 8 + G5: 5,6,9 + I5: 5,8,9 + H6: 1,8,9 # H4: 4,6 => UNS * INC # D4: 8 + G5: 5,6,9 + I5: 5,8,9 + H6: 1,8,9 # G6: 4,6 => UNS * INC # D4: 8 + G5: 5,6,9 + I5: 5,8,9 + H6: 1,8,9 # B4: 4,6 => UNS * INC # D4: 8 + G5: 5,6,9 + I5: 5,8,9 + H6: 1,8,9 # C4: 4,6 => UNS * INC # D4: 8 + G5: 5,6,9 + I5: 5,8,9 + H6: 1,8,9 # I3: 4,6 => UNS * INC # D4: 8 + G5: 5,6,9 + I5: 5,8,9 + H6: 1,8,9 # I8: 4,6 => UNS * INC # D4: 8 + G5: 5,6,9 + I5: 5,8,9 + H6: 1,8,9 # E7: 2,9 => UNS * INC # D4: 8 + G5: 5,6,9 + I5: 5,8,9 + H6: 1,8,9 # D8: 2,9 => UNS * INC # D4: 8 + G5: 5,6,9 + I5: 5,8,9 + H6: 1,8,9 # E9: 2,9 => UNS * INC # D4: 8 + G5: 5,6,9 + I5: 5,8,9 + H6: 1,8,9 # B7: 2,9 => UNS * INC # D4: 8 + G5: 5,6,9 + I5: 5,8,9 + H6: 1,8,9 # C7: 2,9 => UNS * INC # D4: 8 + G5: 5,6,9 + I5: 5,8,9 + H6: 1,8,9 # G7: 2,9 => UNS * INC # D4: 8 + G5: 5,6,9 + I5: 5,8,9 + H6: 1,8,9 # D3: 2,9 => UNS * INC # D4: 8 + G5: 5,6,9 + I5: 5,8,9 + H6: 1,8,9 # D3: 1 => UNS * INC # D4: 8 + G5: 5,6,9 + I5: 5,8,9 + H6: 1,8,9 # F5: 1,4 => UNS * INC # D4: 8 + G5: 5,6,9 + I5: 5,8,9 + H6: 1,8,9 # E6: 1,4 => UNS * INC # D4: 8 + G5: 5,6,9 + I5: 5,8,9 + H6: 1,8,9 # F6: 1,4 => UNS * INC # D4: 8 + G5: 5,6,9 + I5: 5,8,9 + H6: 1,8,9 # A5: 1,4 => UNS * INC # D4: 8 + G5: 5,6,9 + I5: 5,8,9 + H6: 1,8,9 # B5: 1,4 => UNS * INC # D4: 8 + G5: 5,6,9 + I5: 5,8,9 + H6: 1,8,9 # E9: 1,4 => UNS * INC # D4: 8 + G5: 5,6,9 + I5: 5,8,9 + H6: 1,8,9 # E9: 2,8,9 => UNS * INC # D4: 8 + G5: 5,6,9 + I5: 5,8,9 + H6: 1,8,9 # H4: 4,6 => UNS * INC # D4: 8 + G5: 5,6,9 + I5: 5,8,9 + H6: 1,8,9 # G6: 4,6 => UNS * INC # D4: 8 + G5: 5,6,9 + I5: 5,8,9 + H6: 1,8,9 # B4: 4,6 => UNS * INC # D4: 8 + G5: 5,6,9 + I5: 5,8,9 + H6: 1,8,9 # C4: 4,6 => UNS * INC # D4: 8 + G5: 5,6,9 + I5: 5,8,9 + H6: 1,8,9 # I3: 4,6 => UNS * INC # D4: 8 + G5: 5,6,9 + I5: 5,8,9 + H6: 1,8,9 # I8: 4,6 => UNS * INC # D4: 8 + G5: 5,6,9 + I5: 5,8,9 + H6: 1,8,9 # E7: 2,9 => UNS * INC # D4: 8 + G5: 5,6,9 + I5: 5,8,9 + H6: 1,8,9 # D8: 2,9 => UNS * INC # D4: 8 + G5: 5,6,9 + I5: 5,8,9 + H6: 1,8,9 # E9: 2,9 => UNS * INC # D4: 8 + G5: 5,6,9 + I5: 5,8,9 + H6: 1,8,9 # B7: 2,9 => UNS * INC # D4: 8 + G5: 5,6,9 + I5: 5,8,9 + H6: 1,8,9 # C7: 2,9 => UNS * INC # D4: 8 + G5: 5,6,9 + I5: 5,8,9 + H6: 1,8,9 # G7: 2,9 => UNS * INC # D4: 8 + G5: 5,6,9 + I5: 5,8,9 + H6: 1,8,9 # D3: 2,9 => UNS * INC # D4: 8 + G5: 5,6,9 + I5: 5,8,9 + H6: 1,8,9 # D3: 1 => UNS * INC # D4: 8 + G5: 5,6,9 + I5: 5,8,9 + H6: 1,8,9 => UNS * INC # D7: 8 # E6: 1,2 => UNS * INC # D7: 8 # F6: 1,2 => UNS * INC # D7: 8 # B4: 1,2 => UNS * INC # D7: 8 # C4: 1,2 => UNS * INC # D7: 8 # D3: 1,2 => UNS * INC # D7: 8 # D8: 1,2 => UNS * INC # D7: 8 => UNS * CNT 66 HDP CHAINS / 66 HYP OPENED
Full list of HDP chains traversed for H1,H7: 5..:
* DIS # H1: 5 # E2: 1,2 => CTR => E2: 9 * INC # H1: 5 + E2: 9 # C2: 1,2 => UNS * INC # H1: 5 + E2: 9 # G2: 1,2 => UNS * INC # H1: 5 + E2: 9 # F6: 1,2 => UNS * INC # H1: 5 + E2: 9 # F9: 1,2 => UNS * INC # H1: 5 + E2: 9 # G1: 2,4 => UNS * PRF # H1: 5 + E2: 9 # I3: 2,4 => SOL * STA # H1: 5 + E2: 9 + I3: 2,4 * CNT 7 HDP CHAINS / 8 HYP OPENED