Analysis of xx-ph-00001522-565-base.sdk
Contents
Original Sudoku
level: very deep
position: 1....6.8..5.7....2....3.5....5.....3.9.6...7.....2.4...6...8...87.1...6...4...... initial
Autosolve
position: 1....6.8..5.7....2....3.5....5.....3.9.6...7.....2.4...6...8...87.1...6...4.6.... autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000006
List of important HDP chains detected for C7,B9: 1..:
* DIS # C7: 1 # G9: 2,3 => CTR => G9: 1,7,8,9 * CNT 1 HDP CHAINS / 31 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Very Deep Constraint Pair Analysis
Time used: 0:00:40.303290
List of important HDP chains detected for E4,E7: 7..:
* DIS # E4: 7 # C5: 1,8 # B1: 2,3 => CTR => B1: 4 * DIS # E4: 7 # C5: 1,8 + B1: 4 => CTR => C5: 2,3 * DIS # E4: 7 + C5: 2,3 # C7: 2,3 => CTR => C7: 1,9 * DIS # E4: 7 + C5: 2,3 + C7: 1,9 # G5: 1,8 # A2: 4,6 => CTR => A2: 3,9 * DIS # E4: 7 + C5: 2,3 + C7: 1,9 # G5: 1,8 + A2: 3,9 # A3: 4,6 => CTR => A3: 2,7,9 * DIS # E4: 7 + C5: 2,3 + C7: 1,9 # G5: 1,8 + A2: 3,9 + A3: 2,7,9 # A5: 2,3 => CTR => A5: 4 * DIS # E4: 7 + C5: 2,3 + C7: 1,9 # G5: 1,8 + A2: 3,9 + A3: 2,7,9 + A5: 4 # G4: 2,9 => CTR => G4: 1,8 * DIS # E4: 7 + C5: 2,3 + C7: 1,9 # G5: 1,8 + A2: 3,9 + A3: 2,7,9 + A5: 4 + G4: 1,8 # I7: 1,9 => CTR => I7: 4,7 * DIS # E4: 7 + C5: 2,3 + C7: 1,9 # G5: 1,8 + A2: 3,9 + A3: 2,7,9 + A5: 4 + G4: 1,8 + I7: 4,7 => CTR => G5: 2 * DIS # E4: 7 + C5: 2,3 + C7: 1,9 + G5: 2 # C6: 6,7 => CTR => C6: 1,8 * DIS # E4: 7 + C5: 2,3 + C7: 1,9 + G5: 2 + C6: 1,8 => CTR => E4: 1,4,8,9 * STA E4: 1,4,8,9 * CNT 11 HDP CHAINS / 37 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
| 1....6.8..5.7....2....3.5....5.....3.9.6...7.....2.4...6...8...87.1...6...4...... | initial |
| 1....6.8..5.7....2....3.5....5.....3.9.6...7.....2.4...6...8...87.1...6...4.6.... | autosolve |
Classification
level: very deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) C7,B9: 1.. / C7 = 1 => 1 pairs (_) / B9 = 1 => 1 pairs (_) D1,E1: 5.. / D1 = 5 => 2 pairs (_) / E1 = 5 => 1 pairs (_) A7,A9: 5.. / A7 = 5 => 0 pairs (_) / A9 = 5 => 0 pairs (_) G2,I3: 6.. / G2 = 6 => 1 pairs (_) / I3 = 6 => 0 pairs (_) G4,I6: 6.. / G4 = 6 => 0 pairs (_) / I6 = 6 => 1 pairs (_) A4,G4: 6.. / A4 = 6 => 1 pairs (_) / G4 = 6 => 0 pairs (_) G2,G4: 6.. / G2 = 6 => 1 pairs (_) / G4 = 6 => 0 pairs (_) I3,I6: 6.. / I3 = 6 => 0 pairs (_) / I6 = 6 => 1 pairs (_) E7,F9: 7.. / E7 = 7 => 2 pairs (_) / F9 = 7 => 2 pairs (_) E4,E7: 7.. / E4 = 7 => 2 pairs (_) / E7 = 7 => 2 pairs (_) E2,D3: 8.. / E2 = 8 => 0 pairs (_) / D3 = 8 => 2 pairs (_) G9,I9: 8.. / G9 = 8 => 1 pairs (_) / I9 = 8 => 1 pairs (_) C2,E2: 8.. / C2 = 8 => 2 pairs (_) / E2 = 8 => 0 pairs (_) * DURATION: 0:00:09.829126 START: 03:15:43.638429 END: 03:15:53.467555 2020-11-29 * CP COUNT: (13) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) E4,E7: 7.. / E4 = 7 ==> 2 pairs (_) / E7 = 7 ==> 2 pairs (_) E7,F9: 7.. / E7 = 7 ==> 2 pairs (_) / F9 = 7 ==> 2 pairs (_) D1,E1: 5.. / D1 = 5 ==> 2 pairs (_) / E1 = 5 ==> 1 pairs (_) C2,E2: 8.. / C2 = 8 ==> 2 pairs (_) / E2 = 8 ==> 0 pairs (_) E2,D3: 8.. / E2 = 8 ==> 0 pairs (_) / D3 = 8 ==> 2 pairs (_) G9,I9: 8.. / G9 = 8 ==> 1 pairs (_) / I9 = 8 ==> 1 pairs (_) C7,B9: 1.. / C7 = 1 ==> 1 pairs (_) / B9 = 1 ==> 1 pairs (_) I3,I6: 6.. / I3 = 6 ==> 0 pairs (_) / I6 = 6 ==> 1 pairs (_) G2,G4: 6.. / G2 = 6 ==> 1 pairs (_) / G4 = 6 ==> 0 pairs (_) A4,G4: 6.. / A4 = 6 ==> 1 pairs (_) / G4 = 6 ==> 0 pairs (_) G4,I6: 6.. / G4 = 6 ==> 0 pairs (_) / I6 = 6 ==> 1 pairs (_) G2,I3: 6.. / G2 = 6 ==> 1 pairs (_) / I3 = 6 ==> 0 pairs (_) A7,A9: 5.. / A7 = 5 ==> 0 pairs (_) / A9 = 5 ==> 0 pairs (_) * DURATION: 0:01:12.734557 START: 03:15:53.468251 END: 03:17:06.202808 2020-11-29 * REASONING C7,B9: 1.. * DIS # C7: 1 # G9: 2,3 => CTR => G9: 1,7,8,9 * CNT 1 HDP CHAINS / 31 HYP OPENED * DCP COUNT: (13) * INCONCLUSIVE -------------------------------------------------- * VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE) E4,E7: 7.. / E4 = 7 ==> 0 pairs (X) / E7 = 7 => 2 pairs (_) * DURATION: 0:00:40.300642 START: 03:17:06.347330 END: 03:17:46.647972 2020-11-29 * REASONING E4,E7: 7.. * DIS # E4: 7 # C5: 1,8 # B1: 2,3 => CTR => B1: 4 * DIS # E4: 7 # C5: 1,8 + B1: 4 => CTR => C5: 2,3 * DIS # E4: 7 + C5: 2,3 # C7: 2,3 => CTR => C7: 1,9 * DIS # E4: 7 + C5: 2,3 + C7: 1,9 # G5: 1,8 # A2: 4,6 => CTR => A2: 3,9 * DIS # E4: 7 + C5: 2,3 + C7: 1,9 # G5: 1,8 + A2: 3,9 # A3: 4,6 => CTR => A3: 2,7,9 * DIS # E4: 7 + C5: 2,3 + C7: 1,9 # G5: 1,8 + A2: 3,9 + A3: 2,7,9 # A5: 2,3 => CTR => A5: 4 * DIS # E4: 7 + C5: 2,3 + C7: 1,9 # G5: 1,8 + A2: 3,9 + A3: 2,7,9 + A5: 4 # G4: 2,9 => CTR => G4: 1,8 * DIS # E4: 7 + C5: 2,3 + C7: 1,9 # G5: 1,8 + A2: 3,9 + A3: 2,7,9 + A5: 4 + G4: 1,8 # I7: 1,9 => CTR => I7: 4,7 * DIS # E4: 7 + C5: 2,3 + C7: 1,9 # G5: 1,8 + A2: 3,9 + A3: 2,7,9 + A5: 4 + G4: 1,8 + I7: 4,7 => CTR => G5: 2 * DIS # E4: 7 + C5: 2,3 + C7: 1,9 + G5: 2 # C6: 6,7 => CTR => C6: 1,8 * DIS # E4: 7 + C5: 2,3 + C7: 1,9 + G5: 2 + C6: 1,8 => CTR => E4: 1,4,8,9 * STA E4: 1,4,8,9 * CNT 11 HDP CHAINS / 37 HYP OPENED * VDCP COUNT: (1) * CLUE FOUND
Header Info
1522;565;elev;22;11.30;1.20;1.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for E4,E7: 7..:
* INC # E4: 7 # C5: 1,8 => UNS * INC # E4: 7 # G5: 1,8 => UNS * INC # E4: 7 # I5: 1,8 => UNS * INC # E4: 7 => UNS * INC # E7: 7 => UNS * CNT 5 HDP CHAINS / 5 HYP OPENED
Full list of HDP chains traversed for E7,F9: 7..:
* INC # E7: 7 => UNS * INC # F9: 7 # C5: 1,8 => UNS * INC # F9: 7 # G5: 1,8 => UNS * INC # F9: 7 # I5: 1,8 => UNS * INC # F9: 7 => UNS * CNT 5 HDP CHAINS / 5 HYP OPENED
Full list of HDP chains traversed for D1,E1: 5..:
* INC # D1: 5 # D3: 4,8 => UNS * INC # D1: 5 # D3: 2,9 => UNS * INC # D1: 5 # B4: 4,8 => UNS * INC # D1: 5 # B4: 1,2 => UNS * INC # D1: 5 # E2: 4,9 => UNS * INC # D1: 5 # F2: 4,9 => UNS * INC # D1: 5 # D3: 4,9 => UNS * INC # D1: 5 # F3: 4,9 => UNS * INC # D1: 5 # I1: 4,9 => UNS * INC # D1: 5 # I1: 7 => UNS * INC # D1: 5 # E4: 4,9 => UNS * INC # D1: 5 # E7: 4,9 => UNS * INC # D1: 5 # E8: 4,9 => UNS * INC # D1: 5 => UNS * INC # E1: 5 # D7: 4,9 => UNS * INC # E1: 5 # E7: 4,9 => UNS * INC # E1: 5 # F8: 4,9 => UNS * INC # E1: 5 # I8: 4,9 => UNS * INC # E1: 5 # I8: 5 => UNS * INC # E1: 5 # E2: 4,9 => UNS * INC # E1: 5 # E4: 4,9 => UNS * INC # E1: 5 => UNS * CNT 22 HDP CHAINS / 22 HYP OPENED
Full list of HDP chains traversed for C2,E2: 8..:
* INC # C2: 8 # B1: 2,4 => UNS * INC # C2: 8 # A3: 2,4 => UNS * INC # C2: 8 # F3: 2,4 => UNS * INC # C2: 8 # F3: 1,9 => UNS * INC # C2: 8 # B4: 2,4 => UNS * INC # C2: 8 # B4: 1,8 => UNS * INC # C2: 8 # E4: 4,9 => UNS * INC # C2: 8 # F4: 4,9 => UNS * INC # C2: 8 # D1: 4,9 => UNS * INC # C2: 8 # D7: 4,9 => UNS * INC # C2: 8 => UNS * INC # E2: 8 => UNS * CNT 12 HDP CHAINS / 12 HYP OPENED
Full list of HDP chains traversed for E2,D3: 8..:
* INC # D3: 8 # B1: 2,4 => UNS * INC # D3: 8 # A3: 2,4 => UNS * INC # D3: 8 # F3: 2,4 => UNS * INC # D3: 8 # F3: 1,9 => UNS * INC # D3: 8 # B4: 2,4 => UNS * INC # D3: 8 # B4: 1,8 => UNS * INC # D3: 8 # E4: 4,9 => UNS * INC # D3: 8 # F4: 4,9 => UNS * INC # D3: 8 # D1: 4,9 => UNS * INC # D3: 8 # D7: 4,9 => UNS * INC # D3: 8 => UNS * INC # E2: 8 => UNS * CNT 12 HDP CHAINS / 12 HYP OPENED
Full list of HDP chains traversed for G9,I9: 8..:
* INC # G9: 8 # G4: 1,2 => UNS * INC # G9: 8 # H4: 1,2 => UNS * INC # G9: 8 # C5: 1,2 => UNS * INC # G9: 8 # C5: 3,8 => UNS * INC # G9: 8 # G7: 1,2 => UNS * INC # G9: 8 # G7: 3,7,9 => UNS * INC # G9: 8 => UNS * INC # I9: 8 # H6: 1,5 => UNS * INC # I9: 8 # I6: 1,5 => UNS * INC # I9: 8 # E5: 1,5 => UNS * INC # I9: 8 # F5: 1,5 => UNS * INC # I9: 8 # I7: 1,5 => UNS * INC # I9: 8 # I7: 4,7,9 => UNS * INC # I9: 8 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
Full list of HDP chains traversed for C7,B9: 1..:
* INC # C7: 1 # A7: 2,3 => UNS * INC # C7: 1 # C8: 2,3 => UNS * INC # C7: 1 # A9: 2,3 => UNS * INC # C7: 1 # D9: 2,3 => UNS * INC # C7: 1 # F9: 2,3 => UNS * DIS # C7: 1 # G9: 2,3 => CTR => G9: 1,7,8,9 * INC # C7: 1 + G9: 1,7,8,9 # H9: 2,3 => UNS * INC # C7: 1 + G9: 1,7,8,9 # B1: 2,3 => UNS * INC # C7: 1 + G9: 1,7,8,9 # B1: 4 => UNS * INC # C7: 1 + G9: 1,7,8,9 # A7: 2,3 => UNS * INC # C7: 1 + G9: 1,7,8,9 # C8: 2,3 => UNS * INC # C7: 1 + G9: 1,7,8,9 # A9: 2,3 => UNS * INC # C7: 1 + G9: 1,7,8,9 # D9: 2,3 => UNS * INC # C7: 1 + G9: 1,7,8,9 # F9: 2,3 => UNS * INC # C7: 1 + G9: 1,7,8,9 # H9: 2,3 => UNS * INC # C7: 1 + G9: 1,7,8,9 # B1: 2,3 => UNS * INC # C7: 1 + G9: 1,7,8,9 # B1: 4 => UNS * INC # C7: 1 + G9: 1,7,8,9 # A7: 2,3 => UNS * INC # C7: 1 + G9: 1,7,8,9 # C8: 2,3 => UNS * INC # C7: 1 + G9: 1,7,8,9 # A9: 2,3 => UNS * INC # C7: 1 + G9: 1,7,8,9 # D9: 2,3 => UNS * INC # C7: 1 + G9: 1,7,8,9 # F9: 2,3 => UNS * INC # C7: 1 + G9: 1,7,8,9 # H9: 2,3 => UNS * INC # C7: 1 + G9: 1,7,8,9 # B1: 2,3 => UNS * INC # C7: 1 + G9: 1,7,8,9 # B1: 4 => UNS * INC # C7: 1 + G9: 1,7,8,9 => UNS * INC # B9: 1 # C5: 3,8 => UNS * INC # B9: 1 # C6: 3,8 => UNS * INC # B9: 1 # D6: 3,8 => UNS * INC # B9: 1 # D6: 5,9 => UNS * INC # B9: 1 => UNS * CNT 31 HDP CHAINS / 31 HYP OPENED
Full list of HDP chains traversed for I3,I6: 6..:
* INC # I6: 6 # C6: 3,7 => UNS * INC # I6: 6 # C6: 1,8 => UNS * INC # I6: 6 => UNS * INC # I3: 6 => UNS * CNT 4 HDP CHAINS / 4 HYP OPENED
Full list of HDP chains traversed for G2,G4: 6..:
* INC # G2: 6 # C6: 3,7 => UNS * INC # G2: 6 # C6: 1,8 => UNS * INC # G2: 6 => UNS * INC # G4: 6 => UNS * CNT 4 HDP CHAINS / 4 HYP OPENED
Full list of HDP chains traversed for A4,G4: 6..:
* INC # A4: 6 # C6: 3,7 => UNS * INC # A4: 6 # C6: 1,8 => UNS * INC # A4: 6 => UNS * INC # G4: 6 => UNS * CNT 4 HDP CHAINS / 4 HYP OPENED
Full list of HDP chains traversed for G4,I6: 6..:
* INC # I6: 6 # C6: 3,7 => UNS * INC # I6: 6 # C6: 1,8 => UNS * INC # I6: 6 => UNS * INC # G4: 6 => UNS * CNT 4 HDP CHAINS / 4 HYP OPENED
Full list of HDP chains traversed for G2,I3: 6..:
* INC # G2: 6 # C6: 3,7 => UNS * INC # G2: 6 # C6: 1,8 => UNS * INC # G2: 6 => UNS * INC # I3: 6 => UNS * CNT 4 HDP CHAINS / 4 HYP OPENED
Full list of HDP chains traversed for A7,A9: 5..:
* INC # A7: 5 => UNS * INC # A9: 5 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A2. Very Deep Constraint Pair Analysis
Full list of HDP chains traversed for E4,E7: 7..:
* INC # E4: 7 # C5: 1,8 => UNS * INC # E4: 7 # G5: 1,8 => UNS * INC # E4: 7 # I5: 1,8 => UNS * DIS # E4: 7 # C5: 1,8 # B1: 2,3 => CTR => B1: 4 * DIS # E4: 7 # C5: 1,8 + B1: 4 => CTR => C5: 2,3 * INC # E4: 7 + C5: 2,3 # A5: 2,3 => UNS * INC # E4: 7 + C5: 2,3 # A5: 4 => UNS * INC # E4: 7 + C5: 2,3 # C1: 2,3 => UNS * DIS # E4: 7 + C5: 2,3 # C7: 2,3 => CTR => C7: 1,9 * INC # E4: 7 + C5: 2,3 + C7: 1,9 # C8: 2,3 => UNS * INC # E4: 7 + C5: 2,3 + C7: 1,9 # A5: 2,3 => UNS * INC # E4: 7 + C5: 2,3 + C7: 1,9 # A5: 4 => UNS * INC # E4: 7 + C5: 2,3 + C7: 1,9 # C1: 2,3 => UNS * INC # E4: 7 + C5: 2,3 + C7: 1,9 # C8: 2,3 => UNS * INC # E4: 7 + C5: 2,3 + C7: 1,9 # G5: 1,8 => UNS * INC # E4: 7 + C5: 2,3 + C7: 1,9 # I5: 1,8 => UNS * INC # E4: 7 + C5: 2,3 + C7: 1,9 # A5: 2,3 => UNS * INC # E4: 7 + C5: 2,3 + C7: 1,9 # A5: 4 => UNS * INC # E4: 7 + C5: 2,3 + C7: 1,9 # C1: 2,3 => UNS * INC # E4: 7 + C5: 2,3 + C7: 1,9 # C8: 2,3 => UNS * INC # E4: 7 + C5: 2,3 + C7: 1,9 # G5: 1,8 => UNS * INC # E4: 7 + C5: 2,3 + C7: 1,9 # I5: 1,8 => UNS * INC # E4: 7 + C5: 2,3 + C7: 1,9 # G7: 1,9 => UNS * INC # E4: 7 + C5: 2,3 + C7: 1,9 # H7: 1,9 => UNS * INC # E4: 7 + C5: 2,3 + C7: 1,9 # I7: 1,9 => UNS * DIS # E4: 7 + C5: 2,3 + C7: 1,9 # G5: 1,8 # A2: 4,6 => CTR => A2: 3,9 * DIS # E4: 7 + C5: 2,3 + C7: 1,9 # G5: 1,8 + A2: 3,9 # A3: 4,6 => CTR => A3: 2,7,9 * DIS # E4: 7 + C5: 2,3 + C7: 1,9 # G5: 1,8 + A2: 3,9 + A3: 2,7,9 # A5: 2,3 => CTR => A5: 4 * INC # E4: 7 + C5: 2,3 + C7: 1,9 # G5: 1,8 + A2: 3,9 + A3: 2,7,9 + A5: 4 # G4: 1,8 => UNS * DIS # E4: 7 + C5: 2,3 + C7: 1,9 # G5: 1,8 + A2: 3,9 + A3: 2,7,9 + A5: 4 # G4: 2,9 => CTR => G4: 1,8 * DIS # E4: 7 + C5: 2,3 + C7: 1,9 # G5: 1,8 + A2: 3,9 + A3: 2,7,9 + A5: 4 + G4: 1,8 # I7: 1,9 => CTR => I7: 4,7 * DIS # E4: 7 + C5: 2,3 + C7: 1,9 # G5: 1,8 + A2: 3,9 + A3: 2,7,9 + A5: 4 + G4: 1,8 + I7: 4,7 => CTR => G5: 2 * INC # E4: 7 + C5: 2,3 + C7: 1,9 + G5: 2 # A3: 2,6 => UNS * INC # E4: 7 + C5: 2,3 + C7: 1,9 + G5: 2 # A3: 7,9 => UNS * DIS # E4: 7 + C5: 2,3 + C7: 1,9 + G5: 2 # C6: 6,7 => CTR => C6: 1,8 * DIS # E4: 7 + C5: 2,3 + C7: 1,9 + G5: 2 + C6: 1,8 => CTR => E4: 1,4,8,9 * INC E4: 1,4,8,9 # E7: 7 => UNS * STA E4: 1,4,8,9 * CNT 37 HDP CHAINS / 37 HYP OPENED