Analysis of xx-ph-00034842-12_05-base.sdk
Contents
Original Sudoku
level: very deep
position: 98.7..6..5...8..7...7..6...4...3......68...5......42...1..2......96...8......83.1 initial
Autosolve
position: 98.7..6..56..8..7...7..6...4...3......68...5.....642...1..2......96...8......83.1 autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000007
List of important HDP chains detected for A9,H9: 6..:
* DIS # H9: 6 # H3: 1,9 => CTR => H3: 2,3,4 * CNT 1 HDP CHAINS / 35 HYP OPENED
List of important HDP chains detected for A7,A9: 6..:
* DIS # A7: 6 # H3: 1,9 => CTR => H3: 2,3,4 * CNT 1 HDP CHAINS / 35 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Very Deep Constraint Pair Analysis
Time used: 0:00:47.028494
List of important HDP chains detected for A9,H9: 6..:
* DIS # H9: 6 # H3: 1,9 => CTR => H3: 2,3,4 * DIS # H9: 6 + H3: 2,3,4 # G5: 1,9 # C1: 2,4 => CTR => C1: 3 * DIS # H9: 6 + H3: 2,3,4 # G5: 1,9 + C1: 3 => CTR => G5: 4,7 * DIS # H9: 6 + H3: 2,3,4 + G5: 4,7 # H6: 3 => CTR => H6: 1,9 * DIS # H9: 6 + H3: 2,3,4 + G5: 4,7 + H6: 1,9 # B8: 3,7 => CTR => B8: 4,5 * DIS # H9: 6 + H3: 2,3,4 + G5: 4,7 + H6: 1,9 + B8: 4,5 # B9: 4,5 => CTR => B9: 2,7 * DIS # H9: 6 + H3: 2,3,4 + G5: 4,7 + H6: 1,9 + B8: 4,5 + B9: 2,7 # A5: 2,7 => CTR => A5: 1 * DIS # H9: 6 + H3: 2,3,4 + G5: 4,7 + H6: 1,9 + B8: 4,5 + B9: 2,7 + A5: 1 => CTR => H9: 2,4,9 * STA H9: 2,4,9 * CNT 8 HDP CHAINS / 47 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
| 98.7..6..5...8..7...7..6...4...3......68...5......42...1..2......96...8......83.1 | initial |
| 98.7..6..56..8..7...7..6...4...3......68...5.....642...1..2......96...8......83.1 | autosolve |
Classification
level: very deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) E8,F8: 1.. / E8 = 1 => 2 pairs (_) / F8 = 1 => 0 pairs (_) I8,H9: 2.. / I8 = 2 => 1 pairs (_) / H9 = 2 => 1 pairs (_) G5,I5: 4.. / G5 = 4 => 2 pairs (_) / I5 = 4 => 0 pairs (_) H4,I4: 6.. / H4 = 6 => 1 pairs (_) / I4 = 6 => 1 pairs (_) A7,A9: 6.. / A7 = 6 => 4 pairs (_) / A9 = 6 => 0 pairs (_) A9,H9: 6.. / A9 = 6 => 0 pairs (_) / H9 = 6 => 4 pairs (_) I4,I7: 6.. / I4 = 6 => 1 pairs (_) / I7 = 6 => 1 pairs (_) G3,I3: 8.. / G3 = 8 => 0 pairs (_) / I3 = 8 => 0 pairs (_) A7,C7: 8.. / A7 = 8 => 0 pairs (_) / C7 = 8 => 0 pairs (_) A6,A7: 8.. / A6 = 8 => 0 pairs (_) / A7 = 8 => 0 pairs (_) G3,G4: 8.. / G3 = 8 => 0 pairs (_) / G4 = 8 => 0 pairs (_) * DURATION: 0:00:09.971567 START: 06:34:29.897734 END: 06:34:39.869301 2020-12-15 * CP COUNT: (11) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) A9,H9: 6.. / A9 = 6 ==> 0 pairs (_) / H9 = 6 ==> 4 pairs (_) A7,A9: 6.. / A7 = 6 ==> 4 pairs (_) / A9 = 6 ==> 0 pairs (_) G5,I5: 4.. / G5 = 4 ==> 2 pairs (_) / I5 = 4 ==> 0 pairs (_) E8,F8: 1.. / E8 = 1 ==> 2 pairs (_) / F8 = 1 ==> 0 pairs (_) I4,I7: 6.. / I4 = 6 ==> 1 pairs (_) / I7 = 6 ==> 1 pairs (_) H4,I4: 6.. / H4 = 6 ==> 1 pairs (_) / I4 = 6 ==> 1 pairs (_) I8,H9: 2.. / I8 = 2 ==> 1 pairs (_) / H9 = 2 ==> 1 pairs (_) G3,G4: 8.. / G3 = 8 ==> 0 pairs (_) / G4 = 8 ==> 0 pairs (_) A6,A7: 8.. / A6 = 8 ==> 0 pairs (_) / A7 = 8 ==> 0 pairs (_) A7,C7: 8.. / A7 = 8 ==> 0 pairs (_) / C7 = 8 ==> 0 pairs (_) G3,I3: 8.. / G3 = 8 ==> 0 pairs (_) / I3 = 8 ==> 0 pairs (_) * DURATION: 0:01:39.899447 START: 06:34:39.870020 END: 06:36:19.769467 2020-12-15 * REASONING A9,H9: 6.. * DIS # H9: 6 # H3: 1,9 => CTR => H3: 2,3,4 * CNT 1 HDP CHAINS / 35 HYP OPENED * REASONING A7,A9: 6.. * DIS # A7: 6 # H3: 1,9 => CTR => H3: 2,3,4 * CNT 1 HDP CHAINS / 35 HYP OPENED * DCP COUNT: (11) * INCONCLUSIVE -------------------------------------------------- * VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE) A9,H9: 6.. / A9 = 6 => 0 pairs (_) / H9 = 6 ==> 0 pairs (X) * DURATION: 0:00:47.025695 START: 06:36:19.915770 END: 06:37:06.941465 2020-12-15 * REASONING A9,H9: 6.. * DIS # H9: 6 # H3: 1,9 => CTR => H3: 2,3,4 * DIS # H9: 6 + H3: 2,3,4 # G5: 1,9 # C1: 2,4 => CTR => C1: 3 * DIS # H9: 6 + H3: 2,3,4 # G5: 1,9 + C1: 3 => CTR => G5: 4,7 * DIS # H9: 6 + H3: 2,3,4 + G5: 4,7 # H6: 3 => CTR => H6: 1,9 * DIS # H9: 6 + H3: 2,3,4 + G5: 4,7 + H6: 1,9 # B8: 3,7 => CTR => B8: 4,5 * DIS # H9: 6 + H3: 2,3,4 + G5: 4,7 + H6: 1,9 + B8: 4,5 # B9: 4,5 => CTR => B9: 2,7 * DIS # H9: 6 + H3: 2,3,4 + G5: 4,7 + H6: 1,9 + B8: 4,5 + B9: 2,7 # A5: 2,7 => CTR => A5: 1 * DIS # H9: 6 + H3: 2,3,4 + G5: 4,7 + H6: 1,9 + B8: 4,5 + B9: 2,7 + A5: 1 => CTR => H9: 2,4,9 * STA H9: 2,4,9 * CNT 8 HDP CHAINS / 47 HYP OPENED * VDCP COUNT: (1) * CLUE FOUND
Header Info
34842;12_05;GP;24;11.30;1.20;1.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for A9,H9: 6..:
* INC # H9: 6 # G5: 1,9 => UNS * INC # H9: 6 # H6: 1,9 => UNS * INC # H9: 6 # D4: 1,9 => UNS * INC # H9: 6 # F4: 1,9 => UNS * DIS # H9: 6 # H3: 1,9 => CTR => H3: 2,3,4 * INC # H9: 6 + H3: 2,3,4 # G5: 1,9 => UNS * INC # H9: 6 + H3: 2,3,4 # H6: 1,9 => UNS * INC # H9: 6 + H3: 2,3,4 # D4: 1,9 => UNS * INC # H9: 6 + H3: 2,3,4 # F4: 1,9 => UNS * INC # H9: 6 + H3: 2,3,4 # B8: 3,7 => UNS * INC # H9: 6 + H3: 2,3,4 # B8: 4,5 => UNS * INC # H9: 6 + H3: 2,3,4 # A5: 3,7 => UNS * INC # H9: 6 + H3: 2,3,4 # A5: 1,2 => UNS * INC # H9: 6 + H3: 2,3,4 # B9: 2,7 => UNS * INC # H9: 6 + H3: 2,3,4 # B9: 4,5 => UNS * INC # H9: 6 + H3: 2,3,4 # A5: 2,7 => UNS * INC # H9: 6 + H3: 2,3,4 # A5: 1,3 => UNS * INC # H9: 6 + H3: 2,3,4 # G7: 4,9 => UNS * INC # H9: 6 + H3: 2,3,4 # I7: 4,9 => UNS * INC # H9: 6 + H3: 2,3,4 # G5: 1,9 => UNS * INC # H9: 6 + H3: 2,3,4 # H6: 1,9 => UNS * INC # H9: 6 + H3: 2,3,4 # D4: 1,9 => UNS * INC # H9: 6 + H3: 2,3,4 # F4: 1,9 => UNS * INC # H9: 6 + H3: 2,3,4 # B8: 3,7 => UNS * INC # H9: 6 + H3: 2,3,4 # B8: 4,5 => UNS * INC # H9: 6 + H3: 2,3,4 # A5: 3,7 => UNS * INC # H9: 6 + H3: 2,3,4 # A5: 1,2 => UNS * INC # H9: 6 + H3: 2,3,4 # B9: 2,7 => UNS * INC # H9: 6 + H3: 2,3,4 # B9: 4,5 => UNS * INC # H9: 6 + H3: 2,3,4 # A5: 2,7 => UNS * INC # H9: 6 + H3: 2,3,4 # A5: 1,3 => UNS * INC # H9: 6 + H3: 2,3,4 # G7: 4,9 => UNS * INC # H9: 6 + H3: 2,3,4 # I7: 4,9 => UNS * INC # H9: 6 + H3: 2,3,4 => UNS * INC # A9: 6 => UNS * CNT 35 HDP CHAINS / 35 HYP OPENED
Full list of HDP chains traversed for A7,A9: 6..:
* INC # A7: 6 # G5: 1,9 => UNS * INC # A7: 6 # H6: 1,9 => UNS * INC # A7: 6 # D4: 1,9 => UNS * INC # A7: 6 # F4: 1,9 => UNS * DIS # A7: 6 # H3: 1,9 => CTR => H3: 2,3,4 * INC # A7: 6 + H3: 2,3,4 # G5: 1,9 => UNS * INC # A7: 6 + H3: 2,3,4 # H6: 1,9 => UNS * INC # A7: 6 + H3: 2,3,4 # D4: 1,9 => UNS * INC # A7: 6 + H3: 2,3,4 # F4: 1,9 => UNS * INC # A7: 6 + H3: 2,3,4 # B8: 3,7 => UNS * INC # A7: 6 + H3: 2,3,4 # B8: 4,5 => UNS * INC # A7: 6 + H3: 2,3,4 # A5: 3,7 => UNS * INC # A7: 6 + H3: 2,3,4 # A5: 1,2 => UNS * INC # A7: 6 + H3: 2,3,4 # B9: 2,7 => UNS * INC # A7: 6 + H3: 2,3,4 # B9: 4,5 => UNS * INC # A7: 6 + H3: 2,3,4 # A5: 2,7 => UNS * INC # A7: 6 + H3: 2,3,4 # A5: 1,3 => UNS * INC # A7: 6 + H3: 2,3,4 # G7: 4,9 => UNS * INC # A7: 6 + H3: 2,3,4 # I7: 4,9 => UNS * INC # A7: 6 + H3: 2,3,4 # G5: 1,9 => UNS * INC # A7: 6 + H3: 2,3,4 # H6: 1,9 => UNS * INC # A7: 6 + H3: 2,3,4 # D4: 1,9 => UNS * INC # A7: 6 + H3: 2,3,4 # F4: 1,9 => UNS * INC # A7: 6 + H3: 2,3,4 # B8: 3,7 => UNS * INC # A7: 6 + H3: 2,3,4 # B8: 4,5 => UNS * INC # A7: 6 + H3: 2,3,4 # A5: 3,7 => UNS * INC # A7: 6 + H3: 2,3,4 # A5: 1,2 => UNS * INC # A7: 6 + H3: 2,3,4 # B9: 2,7 => UNS * INC # A7: 6 + H3: 2,3,4 # B9: 4,5 => UNS * INC # A7: 6 + H3: 2,3,4 # A5: 2,7 => UNS * INC # A7: 6 + H3: 2,3,4 # A5: 1,3 => UNS * INC # A7: 6 + H3: 2,3,4 # G7: 4,9 => UNS * INC # A7: 6 + H3: 2,3,4 # I7: 4,9 => UNS * INC # A7: 6 + H3: 2,3,4 => UNS * INC # A9: 6 => UNS * CNT 35 HDP CHAINS / 35 HYP OPENED
Full list of HDP chains traversed for G5,I5: 4..:
* INC # G5: 4 # G3: 1,9 => UNS * INC # G5: 4 # H3: 1,9 => UNS * INC # G5: 4 # D2: 1,9 => UNS * INC # G5: 4 # F2: 1,9 => UNS * INC # G5: 4 # G4: 1,9 => UNS * INC # G5: 4 # G4: 7,8 => UNS * INC # G5: 4 # G7: 5,7 => UNS * INC # G5: 4 # I7: 5,7 => UNS * INC # G5: 4 # I8: 5,7 => UNS * INC # G5: 4 # B8: 5,7 => UNS * INC # G5: 4 # E8: 5,7 => UNS * INC # G5: 4 # F8: 5,7 => UNS * INC # G5: 4 => UNS * INC # I5: 4 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
Full list of HDP chains traversed for E8,F8: 1..:
* INC # E8: 1 # D3: 4,5 => UNS * INC # E8: 1 # E3: 4,5 => UNS * INC # E8: 1 # I1: 4,5 => UNS * INC # E8: 1 # I1: 2,3 => UNS * INC # E8: 1 # E9: 4,5 => UNS * INC # E8: 1 # E9: 7,9 => UNS * INC # E8: 1 # F4: 7,9 => UNS * INC # E8: 1 # F5: 7,9 => UNS * INC # E8: 1 # B5: 7,9 => UNS * INC # E8: 1 # G5: 7,9 => UNS * INC # E8: 1 # I5: 7,9 => UNS * INC # E8: 1 # E9: 7,9 => UNS * INC # E8: 1 # E9: 4,5 => UNS * INC # E8: 1 => UNS * INC # F8: 1 => UNS * CNT 15 HDP CHAINS / 15 HYP OPENED
Full list of HDP chains traversed for I4,I7: 6..:
* INC # I4: 6 # G4: 1,9 => UNS * INC # I4: 6 # G5: 1,9 => UNS * INC # I4: 6 # H6: 1,9 => UNS * INC # I4: 6 # D4: 1,9 => UNS * INC # I4: 6 # F4: 1,9 => UNS * INC # I4: 6 # H3: 1,9 => UNS * INC # I4: 6 # H3: 2,3,4 => UNS * INC # I4: 6 => UNS * INC # I7: 6 # G7: 4,9 => UNS * INC # I7: 6 # H9: 4,9 => UNS * INC # I7: 6 # D7: 4,9 => UNS * INC # I7: 6 # D7: 3,5 => UNS * INC # I7: 6 # H3: 4,9 => UNS * INC # I7: 6 # H3: 1,2,3 => UNS * INC # I7: 6 => UNS * CNT 15 HDP CHAINS / 15 HYP OPENED
Full list of HDP chains traversed for H4,I4: 6..:
* INC # H4: 6 # G7: 4,9 => UNS * INC # H4: 6 # H9: 4,9 => UNS * INC # H4: 6 # D7: 4,9 => UNS * INC # H4: 6 # D7: 3,5 => UNS * INC # H4: 6 # H3: 4,9 => UNS * INC # H4: 6 # H3: 1,2,3 => UNS * INC # H4: 6 => UNS * INC # I4: 6 # G4: 1,9 => UNS * INC # I4: 6 # G5: 1,9 => UNS * INC # I4: 6 # H6: 1,9 => UNS * INC # I4: 6 # D4: 1,9 => UNS * INC # I4: 6 # F4: 1,9 => UNS * INC # I4: 6 # H3: 1,9 => UNS * INC # I4: 6 # H3: 2,3,4 => UNS * INC # I4: 6 => UNS * CNT 15 HDP CHAINS / 15 HYP OPENED
Full list of HDP chains traversed for I8,H9: 2..:
* INC # I8: 2 # A7: 3,7 => UNS * INC # I8: 2 # B8: 3,7 => UNS * INC # I8: 2 # F8: 3,7 => UNS * INC # I8: 2 # F8: 1,5 => UNS * INC # I8: 2 # A5: 3,7 => UNS * INC # I8: 2 # A6: 3,7 => UNS * INC # I8: 2 => UNS * INC # H9: 2 # C7: 4,5 => UNS * INC # H9: 2 # B8: 4,5 => UNS * INC # H9: 2 # B9: 4,5 => UNS * INC # H9: 2 # D9: 4,5 => UNS * INC # H9: 2 # E9: 4,5 => UNS * INC # H9: 2 => UNS * CNT 13 HDP CHAINS / 13 HYP OPENED
Full list of HDP chains traversed for G3,G4: 8..:
* INC # G3: 8 => UNS * INC # G4: 8 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for A6,A7: 8..:
* INC # A6: 8 => UNS * INC # A7: 8 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for A7,C7: 8..:
* INC # A7: 8 => UNS * INC # C7: 8 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for G3,I3: 8..:
* INC # G3: 8 => UNS * INC # I3: 8 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A2. Very Deep Constraint Pair Analysis
Full list of HDP chains traversed for A9,H9: 6..:
* INC # H9: 6 # G5: 1,9 => UNS * INC # H9: 6 # H6: 1,9 => UNS * INC # H9: 6 # D4: 1,9 => UNS * INC # H9: 6 # F4: 1,9 => UNS * DIS # H9: 6 # H3: 1,9 => CTR => H3: 2,3,4 * INC # H9: 6 + H3: 2,3,4 # G5: 1,9 => UNS * INC # H9: 6 + H3: 2,3,4 # H6: 1,9 => UNS * INC # H9: 6 + H3: 2,3,4 # D4: 1,9 => UNS * INC # H9: 6 + H3: 2,3,4 # F4: 1,9 => UNS * INC # H9: 6 + H3: 2,3,4 # B8: 3,7 => UNS * INC # H9: 6 + H3: 2,3,4 # B8: 4,5 => UNS * INC # H9: 6 + H3: 2,3,4 # A5: 3,7 => UNS * INC # H9: 6 + H3: 2,3,4 # A5: 1,2 => UNS * INC # H9: 6 + H3: 2,3,4 # B9: 2,7 => UNS * INC # H9: 6 + H3: 2,3,4 # B9: 4,5 => UNS * INC # H9: 6 + H3: 2,3,4 # A5: 2,7 => UNS * INC # H9: 6 + H3: 2,3,4 # A5: 1,3 => UNS * INC # H9: 6 + H3: 2,3,4 # G7: 4,9 => UNS * INC # H9: 6 + H3: 2,3,4 # I7: 4,9 => UNS * INC # H9: 6 + H3: 2,3,4 # G5: 1,9 => UNS * INC # H9: 6 + H3: 2,3,4 # H6: 1,9 => UNS * INC # H9: 6 + H3: 2,3,4 # D4: 1,9 => UNS * INC # H9: 6 + H3: 2,3,4 # F4: 1,9 => UNS * INC # H9: 6 + H3: 2,3,4 # B8: 3,7 => UNS * INC # H9: 6 + H3: 2,3,4 # B8: 4,5 => UNS * INC # H9: 6 + H3: 2,3,4 # A5: 3,7 => UNS * INC # H9: 6 + H3: 2,3,4 # A5: 1,2 => UNS * INC # H9: 6 + H3: 2,3,4 # B9: 2,7 => UNS * INC # H9: 6 + H3: 2,3,4 # B9: 4,5 => UNS * INC # H9: 6 + H3: 2,3,4 # A5: 2,7 => UNS * INC # H9: 6 + H3: 2,3,4 # A5: 1,3 => UNS * INC # H9: 6 + H3: 2,3,4 # G7: 4,9 => UNS * INC # H9: 6 + H3: 2,3,4 # I7: 4,9 => UNS * DIS # H9: 6 + H3: 2,3,4 # G5: 1,9 # C1: 2,4 => CTR => C1: 3 * DIS # H9: 6 + H3: 2,3,4 # G5: 1,9 + C1: 3 => CTR => G5: 4,7 * INC # H9: 6 + H3: 2,3,4 + G5: 4,7 # H6: 1,9 => UNS * DIS # H9: 6 + H3: 2,3,4 + G5: 4,7 # H6: 3 => CTR => H6: 1,9 * INC # H9: 6 + H3: 2,3,4 + G5: 4,7 + H6: 1,9 # D4: 1,9 => UNS * INC # H9: 6 + H3: 2,3,4 + G5: 4,7 + H6: 1,9 # F4: 1,9 => UNS * INC # H9: 6 + H3: 2,3,4 + G5: 4,7 + H6: 1,9 # I5: 4,7 => UNS * INC # H9: 6 + H3: 2,3,4 + G5: 4,7 + H6: 1,9 # I5: 3 => UNS * DIS # H9: 6 + H3: 2,3,4 + G5: 4,7 + H6: 1,9 # B8: 3,7 => CTR => B8: 4,5 * INC # H9: 6 + H3: 2,3,4 + G5: 4,7 + H6: 1,9 + B8: 4,5 # B9: 2,7 => UNS * DIS # H9: 6 + H3: 2,3,4 + G5: 4,7 + H6: 1,9 + B8: 4,5 # B9: 4,5 => CTR => B9: 2,7 * DIS # H9: 6 + H3: 2,3,4 + G5: 4,7 + H6: 1,9 + B8: 4,5 + B9: 2,7 # A5: 2,7 => CTR => A5: 1 * DIS # H9: 6 + H3: 2,3,4 + G5: 4,7 + H6: 1,9 + B8: 4,5 + B9: 2,7 + A5: 1 => CTR => H9: 2,4,9 * INC H9: 2,4,9 # A9: 6 => UNS * STA H9: 2,4,9 * CNT 47 HDP CHAINS / 47 HYP OPENED