Analysis of xx-ph-00000159-127-base.sdk
Contents
Original Sudoku
level: very deep
position: ...4.....4...891...9..31........5..6.8.3..4..6.7....5..1.9..8....2......9...2...7 initial
Autosolve
position: ...4.....4...891...9..31........5..6.8.3..4..6.7....5..1.9..8....2......9...2...7 autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000007
See Appendix: Full HDP Chains for full list of HDP chains.
Very Deep Constraint Pair Analysis
Time used: 0:01:23.597684
List of important HDP chains detected for A1,C1: 1..:
* DIS # A1: 1 # G4: 2,3 # H5: 1,9 => CTR => H5: 2,7 * DIS # A1: 1 # H4: 2,3 # E8: 6,7 => CTR => E8: 1,4,5 * DIS # A1: 1 # H4: 2,3 + E8: 1,4,5 # H1: 2,3 => CTR => H1: 6,7,8,9 * PRF # A1: 1 # H4: 2,3 + E8: 1,4,5 + H1: 6,7,8,9 # H2: 2,3 => SOL * STA # A1: 1 # H4: 2,3 + E8: 1,4,5 + H1: 6,7,8,9 + H2: 2,3 * CNT 4 HDP CHAINS / 110 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
| ...4.....4...891...9..31........5..6.8.3..4..6.7....5..1.9..8....2......9...2...7 | initial |
| ...4.....4...891...9..31........5..6.8.3..4..6.7....5..1.9..8....2......9...2...7 | autosolve |
Classification
level: very deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) A1,C1: 1.. / A1 = 1 => 4 pairs (_) / C1 = 1 => 1 pairs (_) D9,H9: 1.. / D9 = 1 => 1 pairs (_) / H9 = 1 => 0 pairs (_) H7,I7: 2.. / H7 = 2 => 0 pairs (_) / I7 = 2 => 2 pairs (_) H3,I3: 4.. / H3 = 4 => 0 pairs (_) / I3 = 4 => 0 pairs (_) A5,C5: 5.. / A5 = 5 => 2 pairs (_) / C5 = 5 => 3 pairs (_) E5,F5: 6.. / E5 = 6 => 2 pairs (_) / F5 = 6 => 1 pairs (_) H4,I6: 8.. / H4 = 8 => 0 pairs (_) / I6 = 8 => 2 pairs (_) A8,C9: 8.. / A8 = 8 => 0 pairs (_) / C9 = 8 => 1 pairs (_) D4,H4: 8.. / D4 = 8 => 2 pairs (_) / H4 = 8 => 0 pairs (_) C4,C5: 9.. / C4 = 9 => 1 pairs (_) / C5 = 9 => 2 pairs (_) * DURATION: 0:00:06.760892 START: 22:21:08.962419 END: 22:21:15.723311 2020-09-28 * CP COUNT: (10) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) A1,C1: 1.. / A1 = 1 ==> 4 pairs (_) / C1 = 1 ==> 1 pairs (_) A5,C5: 5.. / A5 = 5 ==> 2 pairs (_) / C5 = 5 ==> 3 pairs (_) C4,C5: 9.. / C4 = 9 ==> 1 pairs (_) / C5 = 9 ==> 2 pairs (_) E5,F5: 6.. / E5 = 6 ==> 2 pairs (_) / F5 = 6 ==> 1 pairs (_) D4,H4: 8.. / D4 = 8 ==> 2 pairs (_) / H4 = 8 ==> 0 pairs (_) H4,I6: 8.. / H4 = 8 ==> 0 pairs (_) / I6 = 8 ==> 2 pairs (_) H7,I7: 2.. / H7 = 2 ==> 0 pairs (_) / I7 = 2 ==> 2 pairs (_) A8,C9: 8.. / A8 = 8 ==> 0 pairs (_) / C9 = 8 ==> 1 pairs (_) D9,H9: 1.. / D9 = 1 ==> 1 pairs (_) / H9 = 1 ==> 0 pairs (_) H3,I3: 4.. / H3 = 4 ==> 0 pairs (_) / I3 = 4 ==> 0 pairs (_) * DURATION: 0:00:57.860749 START: 22:21:15.723918 END: 22:22:13.584667 2020-09-28 * DCP COUNT: (10) * INCONCLUSIVE -------------------------------------------------- * VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE) A1,C1: 1.. / A1 = 1 ==> 0 pairs (*) / C1 = 1 => 0 pairs (X) * DURATION: 0:01:23.596481 START: 22:22:13.701605 END: 22:23:37.298086 2020-09-28 * REASONING A1,C1: 1.. * DIS # A1: 1 # G4: 2,3 # H5: 1,9 => CTR => H5: 2,7 * DIS # A1: 1 # H4: 2,3 # E8: 6,7 => CTR => E8: 1,4,5 * DIS # A1: 1 # H4: 2,3 + E8: 1,4,5 # H1: 2,3 => CTR => H1: 6,7,8,9 * PRF # A1: 1 # H4: 2,3 + E8: 1,4,5 + H1: 6,7,8,9 # H2: 2,3 => SOL * STA # A1: 1 # H4: 2,3 + E8: 1,4,5 + H1: 6,7,8,9 + H2: 2,3 * CNT 4 HDP CHAINS / 110 HYP OPENED * VDCP COUNT: (1) * SOLUTION FOUND
Header Info
159;127;elev;23;11.50;11.50;10.60
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for A1,C1: 1..:
* INC # A1: 1 # B4: 2,3 => UNS * INC # A1: 1 # B6: 2,3 => UNS * INC # A1: 1 # G4: 2,3 => UNS * INC # A1: 1 # H4: 2,3 => UNS * INC # A1: 1 # E4: 1,9 => UNS * INC # A1: 1 # H4: 1,9 => UNS * INC # A1: 1 # E5: 1,9 => UNS * INC # A1: 1 # H5: 1,9 => UNS * INC # A1: 1 # I5: 1,9 => UNS * INC # A1: 1 # A8: 3,7 => UNS * INC # A1: 1 # B8: 3,7 => UNS * INC # A1: 1 # F7: 3,7 => UNS * INC # A1: 1 # F7: 4,6 => UNS * INC # A1: 1 => UNS * INC # C1: 1 => UNS * CNT 15 HDP CHAINS / 15 HYP OPENED
Full list of HDP chains traversed for A5,C5: 5..:
* INC # C5: 5 # B1: 3,6 => UNS * INC # C5: 5 # B2: 3,6 => UNS * INC # C5: 5 # H2: 3,6 => UNS * INC # C5: 5 # H2: 2,7 => UNS * INC # C5: 5 # C7: 3,6 => UNS * INC # C5: 5 # C9: 3,6 => UNS * INC # C5: 5 # H3: 6,8 => UNS * INC # C5: 5 # H3: 2,4,7 => UNS * INC # C5: 5 # C9: 6,8 => UNS * INC # C5: 5 # C9: 3,4 => UNS * INC # C5: 5 # A4: 1,2 => UNS * INC # C5: 5 # A4: 3 => UNS * INC # C5: 5 # H5: 1,2 => UNS * INC # C5: 5 # I5: 1,2 => UNS * INC # C5: 5 => UNS * INC # A5: 5 # C4: 1,9 => UNS * INC # A5: 5 # C4: 3,4 => UNS * INC # A5: 5 # E5: 1,9 => UNS * INC # A5: 5 # H5: 1,9 => UNS * INC # A5: 5 # I5: 1,9 => UNS * INC # A5: 5 # A8: 3,7 => UNS * INC # A5: 5 # B8: 3,7 => UNS * INC # A5: 5 # F7: 3,7 => UNS * INC # A5: 5 # F7: 4,6 => UNS * INC # A5: 5 # A1: 3,7 => UNS * INC # A5: 5 # A1: 1,2,8 => UNS * INC # A5: 5 => UNS * CNT 27 HDP CHAINS / 27 HYP OPENED
Full list of HDP chains traversed for C4,C5: 9..:
* INC # C5: 9 # H5: 1,2 => UNS * INC # C5: 9 # I6: 1,2 => UNS * INC # C5: 9 # A8: 3,7 => UNS * INC # C5: 9 # B8: 3,7 => UNS * INC # C5: 9 # F7: 3,7 => UNS * INC # C5: 9 # F7: 4,6 => UNS * INC # C5: 9 # A1: 3,7 => UNS * INC # C5: 9 # A1: 1,2,8 => UNS * INC # C5: 9 => UNS * INC # C4: 9 # A5: 1,5 => UNS * INC # C4: 9 # A5: 2 => UNS * INC # C4: 9 # C1: 1,5 => UNS * INC # C4: 9 # C1: 3,6,8 => UNS * INC # C4: 9 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
Full list of HDP chains traversed for E5,F5: 6..:
* INC # E5: 6 # D2: 5,7 => UNS * INC # E5: 6 # D3: 5,7 => UNS * INC # E5: 6 # A1: 5,7 => UNS * INC # E5: 6 # B1: 5,7 => UNS * INC # E5: 6 # G1: 5,7 => UNS * INC # E5: 6 # E7: 5,7 => UNS * INC # E5: 6 # E8: 5,7 => UNS * INC # E5: 6 # D4: 2,7 => UNS * INC # E5: 6 # D4: 1,8 => UNS * INC # E5: 6 # H5: 2,7 => UNS * INC # E5: 6 # H5: 1,9 => UNS * INC # E5: 6 # F1: 2,7 => UNS * INC # E5: 6 # F1: 6 => UNS * INC # E5: 6 => UNS * INC # F5: 6 # D2: 2,7 => UNS * INC # F5: 6 # D3: 2,7 => UNS * INC # F5: 6 # A1: 2,7 => UNS * INC # F5: 6 # B1: 2,7 => UNS * INC # F5: 6 # G1: 2,7 => UNS * INC # F5: 6 # H1: 2,7 => UNS * INC # F5: 6 => UNS * CNT 21 HDP CHAINS / 21 HYP OPENED
Full list of HDP chains traversed for D4,H4: 8..:
* INC # D4: 8 # B6: 2,4 => UNS * INC # D4: 8 # B6: 3 => UNS * INC # D4: 8 => UNS * INC # H4: 8 => UNS * CNT 4 HDP CHAINS / 4 HYP OPENED
Full list of HDP chains traversed for H4,I6: 8..:
* INC # I6: 8 # B6: 2,4 => UNS * INC # I6: 8 # B6: 3 => UNS * INC # I6: 8 => UNS * INC # H4: 8 => UNS * CNT 4 HDP CHAINS / 4 HYP OPENED
Full list of HDP chains traversed for H7,I7: 2..:
* INC # I7: 2 # G1: 3,5 => UNS * INC # I7: 2 # I1: 3,5 => UNS * INC # I7: 2 # B2: 3,5 => UNS * INC # I7: 2 # C2: 3,5 => UNS * INC # I7: 2 # I8: 3,5 => UNS * INC # I7: 2 # I8: 1,4,9 => UNS * INC # I7: 2 # H4: 1,9 => UNS * INC # I7: 2 # H5: 1,9 => UNS * INC # I7: 2 # I6: 1,9 => UNS * INC # I7: 2 # C5: 1,9 => UNS * INC # I7: 2 # E5: 1,9 => UNS * INC # I7: 2 # I8: 1,9 => UNS * INC # I7: 2 # I8: 3,4,5 => UNS * INC # I7: 2 => UNS * INC # H7: 2 => UNS * CNT 15 HDP CHAINS / 15 HYP OPENED
Full list of HDP chains traversed for A8,C9: 8..:
* INC # C9: 8 # B1: 5,6 => UNS * INC # C9: 8 # C1: 5,6 => UNS * INC # C9: 8 # B2: 5,6 => UNS * INC # C9: 8 # C2: 5,6 => UNS * INC # C9: 8 # D3: 5,6 => UNS * INC # C9: 8 # G3: 5,6 => UNS * INC # C9: 8 # C7: 5,6 => UNS * INC # C9: 8 # C7: 3,4 => UNS * INC # C9: 8 => UNS * INC # A8: 8 => UNS * CNT 10 HDP CHAINS / 10 HYP OPENED
Full list of HDP chains traversed for D9,H9: 1..:
* INC # D9: 1 # D4: 2,8 => UNS * INC # D9: 1 # F6: 2,8 => UNS * INC # D9: 1 # I6: 2,8 => UNS * INC # D9: 1 # I6: 1,3,9 => UNS * INC # D9: 1 => UNS * INC # H9: 1 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
Full list of HDP chains traversed for H3,I3: 4..:
* INC # H3: 4 => UNS * INC # I3: 4 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A2. Very Deep Constraint Pair Analysis
Full list of HDP chains traversed for A1,C1: 1..:
* INC # A1: 1 # B4: 2,3 => UNS * INC # A1: 1 # B6: 2,3 => UNS * INC # A1: 1 # G4: 2,3 => UNS * INC # A1: 1 # H4: 2,3 => UNS * INC # A1: 1 # E4: 1,9 => UNS * INC # A1: 1 # H4: 1,9 => UNS * INC # A1: 1 # E5: 1,9 => UNS * INC # A1: 1 # H5: 1,9 => UNS * INC # A1: 1 # I5: 1,9 => UNS * INC # A1: 1 # A8: 3,7 => UNS * INC # A1: 1 # B8: 3,7 => UNS * INC # A1: 1 # F7: 3,7 => UNS * INC # A1: 1 # F7: 4,6 => UNS * INC # A1: 1 # B4: 2,3 # B1: 2,3 => UNS * INC # A1: 1 # B4: 2,3 # B2: 2,3 => UNS * INC # A1: 1 # B4: 2,3 # H4: 1,9 => UNS * INC # A1: 1 # B4: 2,3 # H4: 7,8 => UNS * INC # A1: 1 # B4: 2,3 # E5: 1,9 => UNS * INC # A1: 1 # B4: 2,3 # H5: 1,9 => UNS * INC # A1: 1 # B4: 2,3 # I5: 1,9 => UNS * INC # A1: 1 # B4: 2,3 # E5: 1,9 => UNS * INC # A1: 1 # B4: 2,3 # E5: 6,7 => UNS * INC # A1: 1 # B4: 2,3 # I6: 1,9 => UNS * INC # A1: 1 # B4: 2,3 # I6: 2,3,8 => UNS * INC # A1: 1 # B4: 2,3 # D6: 2,8 => UNS * INC # A1: 1 # B4: 2,3 # D6: 1 => UNS * INC # A1: 1 # B4: 2,3 # I6: 2,8 => UNS * INC # A1: 1 # B4: 2,3 # I6: 1,3,9 => UNS * INC # A1: 1 # B4: 2,3 # H4: 7,9 => UNS * INC # A1: 1 # B4: 2,3 # H5: 7,9 => UNS * INC # A1: 1 # B4: 2,3 # G1: 7,9 => UNS * INC # A1: 1 # B4: 2,3 # G1: 2,3,5,6 => UNS * INC # A1: 1 # B4: 2,3 # A8: 3,7 => UNS * INC # A1: 1 # B4: 2,3 # B8: 3,7 => UNS * INC # A1: 1 # B4: 2,3 # F7: 3,7 => UNS * INC # A1: 1 # B4: 2,3 # F7: 4,6 => UNS * INC # A1: 1 # B4: 2,3 => UNS * INC # A1: 1 # B6: 2,3 # G4: 2,3 => UNS * INC # A1: 1 # B6: 2,3 # H4: 2,3 => UNS * INC # A1: 1 # B6: 2,3 # E4: 1,9 => UNS * INC # A1: 1 # B6: 2,3 # H4: 1,9 => UNS * INC # A1: 1 # B6: 2,3 # E5: 1,9 => UNS * INC # A1: 1 # B6: 2,3 # H5: 1,9 => UNS * INC # A1: 1 # B6: 2,3 # I5: 1,9 => UNS * INC # A1: 1 # B6: 2,3 # G6: 2,3 => UNS * INC # A1: 1 # B6: 2,3 # I6: 2,3 => UNS * INC # A1: 1 # B6: 2,3 # B1: 2,3 => UNS * INC # A1: 1 # B6: 2,3 # B2: 2,3 => UNS * INC # A1: 1 # B6: 2,3 # A8: 3,7 => UNS * INC # A1: 1 # B6: 2,3 # B8: 3,7 => UNS * INC # A1: 1 # B6: 2,3 # F7: 3,7 => UNS * INC # A1: 1 # B6: 2,3 # F7: 4,6 => UNS * INC # A1: 1 # B6: 2,3 => UNS * INC # A1: 1 # G4: 2,3 # E4: 1,9 => UNS * INC # A1: 1 # G4: 2,3 # H4: 1,9 => UNS * INC # A1: 1 # G4: 2,3 # E5: 1,9 => UNS * DIS # A1: 1 # G4: 2,3 # H5: 1,9 => CTR => H5: 2,7 * INC # A1: 1 # G4: 2,3 + H5: 2,7 # I5: 1,9 => UNS * INC # A1: 1 # G4: 2,3 + H5: 2,7 # E5: 1,9 => UNS * INC # A1: 1 # G4: 2,3 + H5: 2,7 # I5: 1,9 => UNS * INC # A1: 1 # G4: 2,3 + H5: 2,7 # G6: 2,3 => UNS * INC # A1: 1 # G4: 2,3 + H5: 2,7 # I6: 2,3 => UNS * INC # A1: 1 # G4: 2,3 + H5: 2,7 # B1: 2,3 => UNS * INC # A1: 1 # G4: 2,3 + H5: 2,7 # B2: 2,3 => UNS * INC # A1: 1 # G4: 2,3 + H5: 2,7 # G6: 2,3 => UNS * INC # A1: 1 # G4: 2,3 + H5: 2,7 # I6: 2,3 => UNS * INC # A1: 1 # G4: 2,3 + H5: 2,7 # G1: 2,3 => UNS * INC # A1: 1 # G4: 2,3 + H5: 2,7 # G1: 5,6,7,9 => UNS * INC # A1: 1 # G4: 2,3 + H5: 2,7 # A8: 3,7 => UNS * INC # A1: 1 # G4: 2,3 + H5: 2,7 # B8: 3,7 => UNS * INC # A1: 1 # G4: 2,3 + H5: 2,7 # F7: 3,7 => UNS * INC # A1: 1 # G4: 2,3 + H5: 2,7 # F7: 4,6 => UNS * INC # A1: 1 # G4: 2,3 + H5: 2,7 # E4: 1,9 => UNS * INC # A1: 1 # G4: 2,3 + H5: 2,7 # H4: 1,9 => UNS * INC # A1: 1 # G4: 2,3 + H5: 2,7 # E5: 1,9 => UNS * INC # A1: 1 # G4: 2,3 + H5: 2,7 # I5: 1,9 => UNS * INC # A1: 1 # G4: 2,3 + H5: 2,7 # G6: 2,3 => UNS * INC # A1: 1 # G4: 2,3 + H5: 2,7 # I6: 2,3 => UNS * INC # A1: 1 # G4: 2,3 + H5: 2,7 # B1: 2,3 => UNS * INC # A1: 1 # G4: 2,3 + H5: 2,7 # B2: 2,3 => UNS * INC # A1: 1 # G4: 2,3 + H5: 2,7 # G6: 2,3 => UNS * INC # A1: 1 # G4: 2,3 + H5: 2,7 # I6: 2,3 => UNS * INC # A1: 1 # G4: 2,3 + H5: 2,7 # G1: 2,3 => UNS * INC # A1: 1 # G4: 2,3 + H5: 2,7 # G1: 5,6,7,9 => UNS * INC # A1: 1 # G4: 2,3 + H5: 2,7 # F5: 2,7 => UNS * INC # A1: 1 # G4: 2,3 + H5: 2,7 # F5: 6 => UNS * INC # A1: 1 # G4: 2,3 + H5: 2,7 # A8: 3,7 => UNS * INC # A1: 1 # G4: 2,3 + H5: 2,7 # B8: 3,7 => UNS * INC # A1: 1 # G4: 2,3 + H5: 2,7 # F7: 3,7 => UNS * INC # A1: 1 # G4: 2,3 + H5: 2,7 # F7: 4,6 => UNS * INC # A1: 1 # G4: 2,3 + H5: 2,7 => UNS * INC # A1: 1 # H4: 2,3 # G6: 2,3 => UNS * INC # A1: 1 # H4: 2,3 # G6: 9 => UNS * INC # A1: 1 # H4: 2,3 # B1: 2,3 => UNS * INC # A1: 1 # H4: 2,3 # B2: 2,3 => UNS * INC # A1: 1 # H4: 2,3 # F5: 6,7 => UNS * INC # A1: 1 # H4: 2,3 # F5: 2 => UNS * INC # A1: 1 # H4: 2,3 # E1: 6,7 => UNS * INC # A1: 1 # H4: 2,3 # E7: 6,7 => UNS * DIS # A1: 1 # H4: 2,3 # E8: 6,7 => CTR => E8: 1,4,5 * INC # A1: 1 # H4: 2,3 + E8: 1,4,5 # F5: 6,7 => UNS * INC # A1: 1 # H4: 2,3 + E8: 1,4,5 # F5: 2 => UNS * INC # A1: 1 # H4: 2,3 + E8: 1,4,5 # E1: 6,7 => UNS * INC # A1: 1 # H4: 2,3 + E8: 1,4,5 # E7: 6,7 => UNS * INC # A1: 1 # H4: 2,3 + E8: 1,4,5 # G6: 2,3 => UNS * INC # A1: 1 # H4: 2,3 + E8: 1,4,5 # G6: 9 => UNS * DIS # A1: 1 # H4: 2,3 + E8: 1,4,5 # H1: 2,3 => CTR => H1: 6,7,8,9 * PRF # A1: 1 # H4: 2,3 + E8: 1,4,5 + H1: 6,7,8,9 # H2: 2,3 => SOL * STA # A1: 1 # H4: 2,3 + E8: 1,4,5 + H1: 6,7,8,9 + H2: 2,3 * CNT 108 HDP CHAINS / 110 HYP OPENED