Analysis of xx-ph-00001093-850-base.sdk
Contents
Original Sudoku
level: deep
position: 1.3..6.......8..3..8..7....2...3...5.6...1.7...4...9...3...8.6....5....29.....4.. initial
Autosolve
position: 1.3..6.......8..3..8..7....2...3...5.6...1.7...4...9...3...8.6....5....29.....4.. autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000009
List of important HDP chains detected for G5,H6: 2..:
* DIS # H6: 2 # I5: 3,8 => CTR => I5: 4 * DIS # H6: 2 + I5: 4 # B6: 5,7 => CTR => B6: 1 * DIS # H6: 2 + I5: 4 + B6: 1 # G4: 1,8 => CTR => G4: 6 * DIS # H6: 2 + I5: 4 + B6: 1 + G4: 6 # A8: 4,7 => CTR => A8: 6,8 * PRF # H6: 2 + I5: 4 + B6: 1 + G4: 6 + A8: 6,8 # H1: 8,9 => SOL * STA # H6: 2 + I5: 4 + B6: 1 + G4: 6 + A8: 6,8 + H1: 8,9 * CNT 5 HDP CHAINS / 47 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
| 1.3..6.......8..3..8..7....2...3...5.6...1.7...4...9...3...8.6....5....29.....4.. | initial |
| 1.3..6.......8..3..8..7....2...3...5.6...1.7...4...9...3...8.6....5....29.....4.. | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) D2,D3: 1.. / D2 = 1 => 0 pairs (_) / D3 = 1 => 3 pairs (_) G5,H6: 2.. / G5 = 2 => 1 pairs (_) / H6 = 2 => 3 pairs (_) D3,F3: 3.. / D3 = 3 => 0 pairs (_) / F3 = 3 => 3 pairs (_) A5,A6: 3.. / A5 = 3 => 4 pairs (_) / A6 = 3 => 1 pairs (_) G8,I9: 3.. / G8 = 3 => 1 pairs (_) / I9 = 3 => 5 pairs (_) A6,I6: 3.. / A6 = 3 => 1 pairs (_) / I6 = 3 => 4 pairs (_) F8,G8: 3.. / F8 = 3 => 5 pairs (_) / G8 = 3 => 1 pairs (_) D3,D9: 3.. / D3 = 3 => 0 pairs (_) / D9 = 3 => 3 pairs (_) G5,G8: 3.. / G5 = 3 => 5 pairs (_) / G8 = 3 => 1 pairs (_) H4,I5: 4.. / H4 = 4 => 2 pairs (_) / I5 = 4 => 1 pairs (_) G7,H9: 5.. / G7 = 5 => 2 pairs (_) / H9 = 5 => 1 pairs (_) G4,I6: 6.. / G4 = 6 => 0 pairs (_) / I6 = 6 => 3 pairs (_) D4,G4: 6.. / D4 = 6 => 3 pairs (_) / G4 = 6 => 0 pairs (_) I7,H8: 9.. / I7 = 9 => 1 pairs (_) / H8 = 9 => 1 pairs (_) * DURATION: 0:00:11.005216 START: 01:45:16.883376 END: 01:45:27.888592 2020-11-25 * CP COUNT: (14) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) G5,G8: 3.. / G5 = 3 ==> 5 pairs (_) / G8 = 3 ==> 1 pairs (_) F8,G8: 3.. / F8 = 3 ==> 5 pairs (_) / G8 = 3 ==> 1 pairs (_) G8,I9: 3.. / G8 = 3 ==> 1 pairs (_) / I9 = 3 ==> 5 pairs (_) A6,I6: 3.. / A6 = 3 ==> 1 pairs (_) / I6 = 3 ==> 4 pairs (_) A5,A6: 3.. / A5 = 3 ==> 4 pairs (_) / A6 = 3 ==> 1 pairs (_) G5,H6: 2.. / G5 = 2 => 0 pairs (X) / H6 = 2 ==> 0 pairs (*) * DURATION: 0:01:41.744424 START: 01:45:27.889345 END: 01:47:09.633769 2020-11-25 * REASONING G5,H6: 2.. * DIS # H6: 2 # I5: 3,8 => CTR => I5: 4 * DIS # H6: 2 + I5: 4 # B6: 5,7 => CTR => B6: 1 * DIS # H6: 2 + I5: 4 + B6: 1 # G4: 1,8 => CTR => G4: 6 * DIS # H6: 2 + I5: 4 + B6: 1 + G4: 6 # A8: 4,7 => CTR => A8: 6,8 * PRF # H6: 2 + I5: 4 + B6: 1 + G4: 6 + A8: 6,8 # H1: 8,9 => SOL * STA # H6: 2 + I5: 4 + B6: 1 + G4: 6 + A8: 6,8 + H1: 8,9 * CNT 5 HDP CHAINS / 47 HYP OPENED * DCP COUNT: (6) * SOLUTION FOUND
Header Info
1093;850;elev;22;11.30;11.30;2.60
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for G5,G8: 3..:
* INC # G5: 3 # C5: 5,8 => UNS * INC # G5: 3 # C5: 9 => UNS * INC # G5: 3 # B6: 5,7 => UNS * INC # G5: 3 # B6: 1 => UNS * INC # G5: 3 # H4: 4,8 => UNS * INC # G5: 3 # H4: 1 => UNS * INC # G5: 3 # D5: 4,8 => UNS * INC # G5: 3 # D5: 2,9 => UNS * INC # G5: 3 # I1: 4,8 => UNS * INC # G5: 3 # I1: 7,9 => UNS * INC # G5: 3 # D7: 2,7 => UNS * INC # G5: 3 # D9: 2,7 => UNS * INC # G5: 3 # B9: 2,7 => UNS * INC # G5: 3 # C9: 2,7 => UNS * INC # G5: 3 => UNS * INC # G8: 3 # H6: 2,8 => UNS * INC # G8: 3 # H6: 1 => UNS * INC # G8: 3 # D5: 2,8 => UNS * INC # G8: 3 # D5: 4,9 => UNS * INC # G8: 3 # G1: 2,8 => UNS * INC # G8: 3 # G1: 5,7 => UNS * INC # G8: 3 => UNS * CNT 22 HDP CHAINS / 22 HYP OPENED
Full list of HDP chains traversed for F8,G8: 3..:
* INC # F8: 3 # C5: 5,8 => UNS * INC # F8: 3 # C5: 9 => UNS * INC # F8: 3 # B6: 5,7 => UNS * INC # F8: 3 # B6: 1 => UNS * INC # F8: 3 # H4: 4,8 => UNS * INC # F8: 3 # H4: 1 => UNS * INC # F8: 3 # D5: 4,8 => UNS * INC # F8: 3 # D5: 2,9 => UNS * INC # F8: 3 # I1: 4,8 => UNS * INC # F8: 3 # I1: 7,9 => UNS * INC # F8: 3 # D7: 2,7 => UNS * INC # F8: 3 # D9: 2,7 => UNS * INC # F8: 3 # B9: 2,7 => UNS * INC # F8: 3 # C9: 2,7 => UNS * INC # F8: 3 => UNS * INC # G8: 3 # H6: 2,8 => UNS * INC # G8: 3 # H6: 1 => UNS * INC # G8: 3 # D5: 2,8 => UNS * INC # G8: 3 # D5: 4,9 => UNS * INC # G8: 3 # G1: 2,8 => UNS * INC # G8: 3 # G1: 5,7 => UNS * INC # G8: 3 => UNS * CNT 22 HDP CHAINS / 22 HYP OPENED
Full list of HDP chains traversed for G8,I9: 3..:
* INC # I9: 3 # C5: 5,8 => UNS * INC # I9: 3 # C5: 9 => UNS * INC # I9: 3 # B6: 5,7 => UNS * INC # I9: 3 # B6: 1 => UNS * INC # I9: 3 # H4: 4,8 => UNS * INC # I9: 3 # H4: 1 => UNS * INC # I9: 3 # D5: 4,8 => UNS * INC # I9: 3 # D5: 2,9 => UNS * INC # I9: 3 # I1: 4,8 => UNS * INC # I9: 3 # I1: 7,9 => UNS * INC # I9: 3 # D7: 2,7 => UNS * INC # I9: 3 # D9: 2,7 => UNS * INC # I9: 3 # B9: 2,7 => UNS * INC # I9: 3 # C9: 2,7 => UNS * INC # I9: 3 => UNS * INC # G8: 3 # H6: 2,8 => UNS * INC # G8: 3 # H6: 1 => UNS * INC # G8: 3 # D5: 2,8 => UNS * INC # G8: 3 # D5: 4,9 => UNS * INC # G8: 3 # G1: 2,8 => UNS * INC # G8: 3 # G1: 5,7 => UNS * INC # G8: 3 => UNS * CNT 22 HDP CHAINS / 22 HYP OPENED
Full list of HDP chains traversed for A6,I6: 3..:
* INC # I6: 3 # H6: 2,8 => UNS * INC # I6: 3 # H6: 1 => UNS * INC # I6: 3 # D5: 2,8 => UNS * INC # I6: 3 # D5: 4,9 => UNS * INC # I6: 3 # G1: 2,8 => UNS * INC # I6: 3 # G1: 5,7 => UNS * INC # I6: 3 # H4: 4,8 => UNS * INC # I6: 3 # H4: 1 => UNS * INC # I6: 3 # D5: 4,8 => UNS * INC # I6: 3 # D5: 2,9 => UNS * INC # I6: 3 # I1: 4,8 => UNS * INC # I6: 3 # I1: 7,9 => UNS * INC # I6: 3 # H1: 8,9 => UNS * INC # I6: 3 # H1: 2,4,5 => UNS * INC # I6: 3 # C9: 5,8 => UNS * INC # I6: 3 # C9: 1,2,6,7 => UNS * INC # I6: 3 # H1: 5,8 => UNS * INC # I6: 3 # H1: 2,4,9 => UNS * INC # I6: 3 => UNS * INC # A6: 3 # C5: 5,8 => UNS * INC # A6: 3 # C5: 9 => UNS * INC # A6: 3 => UNS * CNT 22 HDP CHAINS / 22 HYP OPENED
Full list of HDP chains traversed for A5,A6: 3..:
* INC # A5: 3 # H6: 2,8 => UNS * INC # A5: 3 # H6: 1 => UNS * INC # A5: 3 # D5: 2,8 => UNS * INC # A5: 3 # D5: 4,9 => UNS * INC # A5: 3 # G1: 2,8 => UNS * INC # A5: 3 # G1: 5,7 => UNS * INC # A5: 3 # H4: 4,8 => UNS * INC # A5: 3 # H4: 1 => UNS * INC # A5: 3 # D5: 4,8 => UNS * INC # A5: 3 # D5: 2,9 => UNS * INC # A5: 3 # I1: 4,8 => UNS * INC # A5: 3 # I1: 7,9 => UNS * INC # A5: 3 # H1: 8,9 => UNS * INC # A5: 3 # H1: 2,4,5 => UNS * INC # A5: 3 # C9: 5,8 => UNS * INC # A5: 3 # C9: 1,2,6,7 => UNS * INC # A5: 3 # H1: 5,8 => UNS * INC # A5: 3 # H1: 2,4,9 => UNS * INC # A5: 3 => UNS * INC # A6: 3 # C5: 5,8 => UNS * INC # A6: 3 # C5: 9 => UNS * INC # A6: 3 => UNS * CNT 22 HDP CHAINS / 22 HYP OPENED
Full list of HDP chains traversed for G5,H6: 2..:
* INC # H6: 2 # A6: 5,7 => UNS * INC # H6: 2 # B6: 5,7 => UNS * DIS # H6: 2 # I5: 3,8 => CTR => I5: 4 * INC # H6: 2 + I5: 4 # I6: 3,8 => UNS * INC # H6: 2 + I5: 4 # I6: 3,8 => UNS * INC # H6: 2 + I5: 4 # I6: 1,6 => UNS * INC # H6: 2 + I5: 4 # A5: 3,8 => UNS * INC # H6: 2 + I5: 4 # A5: 5 => UNS * INC # H6: 2 + I5: 4 # G8: 3,8 => UNS * INC # H6: 2 + I5: 4 # G8: 1,7 => UNS * INC # H6: 2 + I5: 4 # A6: 5,7 => UNS * DIS # H6: 2 + I5: 4 # B6: 5,7 => CTR => B6: 1 * INC # H6: 2 + I5: 4 + B6: 1 # A6: 5,7 => UNS * INC # H6: 2 + I5: 4 + B6: 1 # A6: 3,8 => UNS * INC # H6: 2 + I5: 4 + B6: 1 # A6: 5,7 => UNS * INC # H6: 2 + I5: 4 + B6: 1 # A6: 3,8 => UNS * DIS # H6: 2 + I5: 4 + B6: 1 # G4: 1,8 => CTR => G4: 6 * INC # H6: 2 + I5: 4 + B6: 1 + G4: 6 # A5: 3,8 => UNS * INC # H6: 2 + I5: 4 + B6: 1 + G4: 6 # A5: 5 => UNS * INC # H6: 2 + I5: 4 + B6: 1 + G4: 6 # G8: 3,8 => UNS * INC # H6: 2 + I5: 4 + B6: 1 + G4: 6 # G8: 1,7 => UNS * INC # H6: 2 + I5: 4 + B6: 1 + G4: 6 # C4: 7,9 => UNS * INC # H6: 2 + I5: 4 + B6: 1 + G4: 6 # C4: 8 => UNS * INC # H6: 2 + I5: 4 + B6: 1 + G4: 6 # D4: 7,9 => UNS * INC # H6: 2 + I5: 4 + B6: 1 + G4: 6 # F4: 7,9 => UNS * INC # H6: 2 + I5: 4 + B6: 1 + G4: 6 # B1: 7,9 => UNS * INC # H6: 2 + I5: 4 + B6: 1 + G4: 6 # B2: 7,9 => UNS * INC # H6: 2 + I5: 4 + B6: 1 + G4: 6 # A6: 5,7 => UNS * INC # H6: 2 + I5: 4 + B6: 1 + G4: 6 # A6: 3,8 => UNS * INC # H6: 2 + I5: 4 + B6: 1 + G4: 6 # A5: 3,8 => UNS * INC # H6: 2 + I5: 4 + B6: 1 + G4: 6 # A5: 5 => UNS * INC # H6: 2 + I5: 4 + B6: 1 + G4: 6 # G8: 3,8 => UNS * INC # H6: 2 + I5: 4 + B6: 1 + G4: 6 # G8: 1,7 => UNS * INC # H6: 2 + I5: 4 + B6: 1 + G4: 6 # A6: 3,8 => UNS * INC # H6: 2 + I5: 4 + B6: 1 + G4: 6 # A6: 5,7 => UNS * INC # H6: 2 + I5: 4 + B6: 1 + G4: 6 # I9: 3,8 => UNS * INC # H6: 2 + I5: 4 + B6: 1 + G4: 6 # I9: 1,7 => UNS * INC # H6: 2 + I5: 4 + B6: 1 + G4: 6 # A7: 4,7 => UNS * DIS # H6: 2 + I5: 4 + B6: 1 + G4: 6 # A8: 4,7 => CTR => A8: 6,8 * INC # H6: 2 + I5: 4 + B6: 1 + G4: 6 + A8: 6,8 # A7: 4,7 => UNS * INC # H6: 2 + I5: 4 + B6: 1 + G4: 6 + A8: 6,8 # A7: 5 => UNS * INC # H6: 2 + I5: 4 + B6: 1 + G4: 6 + A8: 6,8 # F8: 4,7 => UNS * INC # H6: 2 + I5: 4 + B6: 1 + G4: 6 + A8: 6,8 # F8: 3,9 => UNS * INC # H6: 2 + I5: 4 + B6: 1 + G4: 6 + A8: 6,8 # B1: 4,7 => UNS * INC # H6: 2 + I5: 4 + B6: 1 + G4: 6 + A8: 6,8 # B2: 4,7 => UNS * PRF # H6: 2 + I5: 4 + B6: 1 + G4: 6 + A8: 6,8 # H1: 8,9 => SOL * STA # H6: 2 + I5: 4 + B6: 1 + G4: 6 + A8: 6,8 + H1: 8,9 * CNT 46 HDP CHAINS / 47 HYP OPENED