Analysis of xx-ph-00022649-KZ1C-base.sdk
Contents
Original Sudoku
level: very deep
position: 98.7..6..75.....8...6......4...3.2....59...7.........4.1...9.....98...5.....21..3 initial
Autosolve
position: 98.7..6..75.....8...6......4...3.2....59...7.........4.1...9.....98...5.....21..3 autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000006
List of important HDP chains detected for E3,F3: 8..:
* DIS # E3: 8 # I3: 1,2 => CTR => I3: 5,7,9 * CNT 1 HDP CHAINS / 24 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Very Deep Constraint Pair Analysis
Time used: 0:00:21.235570
List of important HDP chains detected for G3,G6: 5..:
* PRF # G3: 5 # H1: 1,2 # C2: 3,4 => SOL * STA # G3: 5 # H1: 1,2 + C2: 3,4 * CNT 1 HDP CHAINS / 27 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..75.....8...6......4...3.2....59...7.........4.1...9.....98...5.....21..3 | initial |
| 98.7..6..75.....8...6......4...3.2....59...7.........4.1...9.....98...5.....21..3 | autosolve |
Classification
level: very deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) G8,I8: 1.. / G8 = 1 => 1 pairs (_) / I8 = 1 => 4 pairs (_) D7,F8: 3.. / D7 = 3 => 0 pairs (_) / F8 = 3 => 1 pairs (_) E5,F5: 4.. / E5 = 4 => 2 pairs (_) / F5 = 4 => 0 pairs (_) I4,G6: 5.. / I4 = 5 => 6 pairs (_) / G6 = 5 => 0 pairs (_) A7,A9: 5.. / A7 = 5 => 2 pairs (_) / A9 = 5 => 1 pairs (_) A9,D9: 5.. / A9 = 5 => 1 pairs (_) / D9 = 5 => 2 pairs (_) G3,G6: 5.. / G3 = 5 => 6 pairs (_) / G6 = 5 => 0 pairs (_) G3,I3: 7.. / G3 = 7 => 2 pairs (_) / I3 = 7 => 0 pairs (_) E3,F3: 8.. / E3 = 8 => 1 pairs (_) / F3 = 8 => 0 pairs (_) E2,E3: 9.. / E2 = 9 => 1 pairs (_) / E3 = 9 => 0 pairs (_) B4,B6: 9.. / B4 = 9 => 1 pairs (_) / B6 = 9 => 1 pairs (_) G9,H9: 9.. / G9 = 9 => 1 pairs (_) / H9 = 9 => 3 pairs (_) * DURATION: 0:00:06.893694 START: 19:51:22.203403 END: 19:51:29.097097 2020-12-07 * CP COUNT: (12) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) G3,G6: 5.. / G3 = 5 ==> 6 pairs (_) / G6 = 5 ==> 0 pairs (_) I4,G6: 5.. / I4 = 5 ==> 6 pairs (_) / G6 = 5 ==> 0 pairs (_) G8,I8: 1.. / G8 = 1 ==> 1 pairs (_) / I8 = 1 ==> 4 pairs (_) G9,H9: 9.. / G9 = 9 ==> 1 pairs (_) / H9 = 9 ==> 3 pairs (_) A9,D9: 5.. / A9 = 5 ==> 1 pairs (_) / D9 = 5 ==> 2 pairs (_) A7,A9: 5.. / A7 = 5 ==> 2 pairs (_) / A9 = 5 ==> 1 pairs (_) G3,I3: 7.. / G3 = 7 ==> 2 pairs (_) / I3 = 7 ==> 0 pairs (_) E5,F5: 4.. / E5 = 4 ==> 2 pairs (_) / F5 = 4 ==> 0 pairs (_) B4,B6: 9.. / B4 = 9 ==> 1 pairs (_) / B6 = 9 ==> 1 pairs (_) E2,E3: 9.. / E2 = 9 ==> 1 pairs (_) / E3 = 9 ==> 0 pairs (_) E3,F3: 8.. / E3 = 8 ==> 1 pairs (_) / F3 = 8 ==> 0 pairs (_) D7,F8: 3.. / D7 = 3 ==> 0 pairs (_) / F8 = 3 ==> 1 pairs (_) * DURATION: 0:01:27.348579 START: 19:51:29.097617 END: 19:52:56.446196 2020-12-07 * REASONING E3,F3: 8.. * DIS # E3: 8 # I3: 1,2 => CTR => I3: 5,7,9 * CNT 1 HDP CHAINS / 24 HYP OPENED * DCP COUNT: (12) * INCONCLUSIVE -------------------------------------------------- * VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE) G3,G6: 5.. / G3 = 5 ==> 0 pairs (*) / G6 = 5 => 0 pairs (X) * DURATION: 0:00:21.232877 START: 19:52:56.587098 END: 19:53:17.819975 2020-12-07 * REASONING G3,G6: 5.. * PRF # G3: 5 # H1: 1,2 # C2: 3,4 => SOL * STA # G3: 5 # H1: 1,2 + C2: 3,4 * CNT 1 HDP CHAINS / 27 HYP OPENED * VDCP COUNT: (1) * SOLUTION FOUND
Header Info
22649;KZ1C;GP;23;11.30;11.30;10.60
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for G3,G6: 5..:
* INC # G3: 5 # H1: 1,2 => UNS * INC # G3: 5 # H3: 1,2 => UNS * INC # G3: 5 # C1: 1,2 => UNS * INC # G3: 5 # C1: 3,4 => UNS * INC # G3: 5 # I8: 1,2 => UNS * INC # G3: 5 # I8: 6 => UNS * INC # G3: 5 # E5: 1,6 => UNS * INC # G3: 5 # D6: 1,6 => UNS * INC # G3: 5 # E6: 1,6 => UNS * INC # G3: 5 # H4: 1,6 => UNS * INC # G3: 5 # H4: 9 => UNS * INC # G3: 5 # D2: 1,6 => UNS * INC # G3: 5 # D2: 2,3,4 => UNS * INC # G3: 5 # E6: 6,7 => UNS * INC # G3: 5 # F6: 6,7 => UNS * INC # G3: 5 # B4: 6,7 => UNS * INC # G3: 5 # B4: 9 => UNS * INC # G3: 5 # F8: 6,7 => UNS * INC # G3: 5 # F8: 3,4 => UNS * INC # G3: 5 # C7: 4,7 => UNS * INC # G3: 5 # B8: 4,7 => UNS * INC # G3: 5 # B9: 4,7 => UNS * INC # G3: 5 # G9: 4,7 => UNS * INC # G3: 5 # G9: 8,9 => UNS * INC # G3: 5 => UNS * INC # G6: 5 => UNS * CNT 26 HDP CHAINS / 26 HYP OPENED
Full list of HDP chains traversed for I4,G6: 5..:
* INC # I4: 5 # H1: 1,2 => UNS * INC # I4: 5 # H3: 1,2 => UNS * INC # I4: 5 # C1: 1,2 => UNS * INC # I4: 5 # C1: 3,4 => UNS * INC # I4: 5 # I8: 1,2 => UNS * INC # I4: 5 # I8: 6 => UNS * INC # I4: 5 # E5: 1,6 => UNS * INC # I4: 5 # D6: 1,6 => UNS * INC # I4: 5 # E6: 1,6 => UNS * INC # I4: 5 # H4: 1,6 => UNS * INC # I4: 5 # H4: 9 => UNS * INC # I4: 5 # D2: 1,6 => UNS * INC # I4: 5 # D2: 2,3,4 => UNS * INC # I4: 5 # E6: 6,7 => UNS * INC # I4: 5 # F6: 6,7 => UNS * INC # I4: 5 # B4: 6,7 => UNS * INC # I4: 5 # B4: 9 => UNS * INC # I4: 5 # F8: 6,7 => UNS * INC # I4: 5 # F8: 3,4 => UNS * INC # I4: 5 # C7: 4,7 => UNS * INC # I4: 5 # B8: 4,7 => UNS * INC # I4: 5 # B9: 4,7 => UNS * INC # I4: 5 # G9: 4,7 => UNS * INC # I4: 5 # G9: 8,9 => UNS * INC # I4: 5 => UNS * INC # G6: 5 => UNS * CNT 26 HDP CHAINS / 26 HYP OPENED
Full list of HDP chains traversed for G8,I8: 1..:
* INC # I8: 1 # I3: 2,5 => UNS * INC # I8: 1 # I3: 7,9 => UNS * INC # I8: 1 # F1: 2,5 => UNS * INC # I8: 1 # F1: 3,4 => UNS * INC # I8: 1 # H3: 2,9 => UNS * INC # I8: 1 # I3: 2,9 => UNS * INC # I8: 1 # I4: 6,8 => UNS * INC # I8: 1 # I4: 5,9 => UNS * INC # I8: 1 # A5: 6,8 => UNS * INC # I8: 1 # E5: 6,8 => UNS * INC # I8: 1 # F5: 6,8 => UNS * INC # I8: 1 # I7: 6,8 => UNS * INC # I8: 1 # I7: 2,7 => UNS * INC # I8: 1 # G7: 4,7 => UNS * INC # I8: 1 # G9: 4,7 => UNS * INC # I8: 1 # B8: 4,7 => UNS * INC # I8: 1 # E8: 4,7 => UNS * INC # I8: 1 # F8: 4,7 => UNS * INC # I8: 1 # G3: 4,7 => UNS * INC # I8: 1 # G3: 1,3,5,9 => UNS * INC # I8: 1 => UNS * INC # G8: 1 # G6: 3,8 => UNS * INC # G8: 1 # G6: 5,9 => UNS * INC # G8: 1 # A5: 3,8 => UNS * INC # G8: 1 # A5: 1,2,6 => UNS * INC # G8: 1 => UNS * CNT 26 HDP CHAINS / 26 HYP OPENED
Full list of HDP chains traversed for G9,H9: 9..:
* INC # H9: 9 # I5: 1,6 => UNS * INC # H9: 9 # H6: 1,6 => UNS * INC # H9: 9 # D4: 1,6 => UNS * INC # H9: 9 # D4: 5 => UNS * INC # H9: 9 # I3: 5,9 => UNS * INC # H9: 9 # I3: 1,2,7 => UNS * INC # H9: 9 # G3: 5,9 => UNS * INC # H9: 9 # G3: 1,3,4,7 => UNS * INC # H9: 9 => UNS * INC # G9: 9 # H7: 4,6 => UNS * INC # G9: 9 # H7: 2 => UNS * INC # G9: 9 # B9: 4,6 => UNS * INC # G9: 9 # D9: 4,6 => UNS * INC # G9: 9 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
Full list of HDP chains traversed for A9,D9: 5..:
* INC # D9: 5 # E5: 1,6 => UNS * INC # D9: 5 # D6: 1,6 => UNS * INC # D9: 5 # E6: 1,6 => UNS * INC # D9: 5 # H4: 1,6 => UNS * INC # D9: 5 # I4: 1,6 => UNS * INC # D9: 5 # D2: 1,6 => UNS * INC # D9: 5 # D2: 2,3,4 => UNS * INC # D9: 5 # A5: 6,8 => UNS * INC # D9: 5 # A6: 6,8 => UNS * INC # D9: 5 => UNS * INC # A9: 5 # D7: 4,6 => UNS * INC # A9: 5 # E7: 4,6 => UNS * INC # A9: 5 # E8: 4,6 => UNS * INC # A9: 5 # F8: 4,6 => UNS * INC # A9: 5 # B9: 4,6 => UNS * INC # A9: 5 # H9: 4,6 => UNS * INC # A9: 5 # D2: 4,6 => UNS * INC # A9: 5 # D2: 1,2,3 => UNS * INC # A9: 5 => UNS * CNT 19 HDP CHAINS / 19 HYP OPENED
Full list of HDP chains traversed for A7,A9: 5..:
* INC # A7: 5 # E5: 1,6 => UNS * INC # A7: 5 # D6: 1,6 => UNS * INC # A7: 5 # E6: 1,6 => UNS * INC # A7: 5 # H4: 1,6 => UNS * INC # A7: 5 # I4: 1,6 => UNS * INC # A7: 5 # D2: 1,6 => UNS * INC # A7: 5 # D2: 2,3,4 => UNS * INC # A7: 5 # A5: 6,8 => UNS * INC # A7: 5 # A6: 6,8 => UNS * INC # A7: 5 => UNS * INC # A9: 5 # D7: 4,6 => UNS * INC # A9: 5 # E7: 4,6 => UNS * INC # A9: 5 # E8: 4,6 => UNS * INC # A9: 5 # F8: 4,6 => UNS * INC # A9: 5 # B9: 4,6 => UNS * INC # A9: 5 # H9: 4,6 => UNS * INC # A9: 5 # D2: 4,6 => UNS * INC # A9: 5 # D2: 1,2,3 => UNS * INC # A9: 5 => UNS * CNT 19 HDP CHAINS / 19 HYP OPENED
Full list of HDP chains traversed for G3,I3: 7..:
* INC # G3: 7 # G9: 4,8 => UNS * INC # G3: 7 # G9: 9 => UNS * INC # G3: 7 # C7: 4,8 => UNS * INC # G3: 7 # C7: 2,3 => UNS * INC # G3: 7 # G2: 1,4 => UNS * INC # G3: 7 # G2: 3,9 => UNS * INC # G3: 7 => UNS * INC # I3: 7 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
Full list of HDP chains traversed for E5,F5: 4..:
* INC # E5: 4 # D3: 1,5 => UNS * INC # E5: 4 # E3: 1,5 => UNS * INC # E5: 4 # I1: 1,5 => UNS * INC # E5: 4 # I1: 2 => UNS * INC # E5: 4 # E6: 1,5 => UNS * INC # E5: 4 # E6: 6,7,8 => UNS * INC # E5: 4 # E7: 6,7 => UNS * INC # E5: 4 # F8: 6,7 => UNS * INC # E5: 4 # B8: 6,7 => UNS * INC # E5: 4 # I8: 6,7 => UNS * INC # E5: 4 # E6: 6,7 => UNS * INC # E5: 4 # E6: 1,5,8 => UNS * INC # E5: 4 => UNS * INC # F5: 4 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
Full list of HDP chains traversed for B4,B6: 9..:
* INC # B4: 9 # I4: 1,6 => UNS * INC # B4: 9 # I5: 1,6 => UNS * INC # B4: 9 # H6: 1,6 => UNS * INC # B4: 9 # D4: 1,6 => UNS * INC # B4: 9 # D4: 5 => UNS * INC # B4: 9 => UNS * INC # B6: 9 # F4: 6,7 => UNS * INC # B6: 9 # F4: 5,8 => UNS * INC # B6: 9 # B8: 6,7 => UNS * INC # B6: 9 # B9: 6,7 => UNS * INC # B6: 9 => UNS * CNT 11 HDP CHAINS / 11 HYP OPENED
Full list of HDP chains traversed for E2,E3: 9..:
* INC # E2: 9 # H1: 1,2 => UNS * INC # E2: 9 # I1: 1,2 => UNS * INC # E2: 9 # H3: 1,2 => UNS * INC # E2: 9 # I3: 1,2 => UNS * INC # E2: 9 # C2: 1,2 => UNS * INC # E2: 9 # D2: 1,2 => UNS * INC # E2: 9 # I8: 1,2 => UNS * INC # E2: 9 # I8: 6,7 => UNS * INC # E2: 9 => UNS * INC # E3: 9 => UNS * CNT 10 HDP CHAINS / 10 HYP OPENED
Full list of HDP chains traversed for E3,F3: 8..:
* INC # E3: 8 # H1: 1,2 => UNS * INC # E3: 8 # I1: 1,2 => UNS * INC # E3: 8 # H3: 1,2 => UNS * DIS # E3: 8 # I3: 1,2 => CTR => I3: 5,7,9 * INC # E3: 8 + I3: 5,7,9 # C2: 1,2 => UNS * INC # E3: 8 + I3: 5,7,9 # D2: 1,2 => UNS * INC # E3: 8 + I3: 5,7,9 # I8: 1,2 => UNS * INC # E3: 8 + I3: 5,7,9 # I8: 6,7 => UNS * INC # E3: 8 + I3: 5,7,9 # H1: 1,2 => UNS * INC # E3: 8 + I3: 5,7,9 # I1: 1,2 => UNS * INC # E3: 8 + I3: 5,7,9 # H3: 1,2 => UNS * INC # E3: 8 + I3: 5,7,9 # C2: 1,2 => UNS * INC # E3: 8 + I3: 5,7,9 # D2: 1,2 => UNS * INC # E3: 8 + I3: 5,7,9 # I8: 1,2 => UNS * INC # E3: 8 + I3: 5,7,9 # I8: 6,7 => UNS * INC # E3: 8 + I3: 5,7,9 # H1: 1,2 => UNS * INC # E3: 8 + I3: 5,7,9 # I1: 1,2 => UNS * INC # E3: 8 + I3: 5,7,9 # H3: 1,2 => UNS * INC # E3: 8 + I3: 5,7,9 # C2: 1,2 => UNS * INC # E3: 8 + I3: 5,7,9 # D2: 1,2 => UNS * INC # E3: 8 + I3: 5,7,9 # I8: 1,2 => UNS * INC # E3: 8 + I3: 5,7,9 # I8: 6,7 => UNS * INC # E3: 8 + I3: 5,7,9 => UNS * INC # F3: 8 => UNS * CNT 24 HDP CHAINS / 24 HYP OPENED
Full list of HDP chains traversed for D7,F8: 3..:
* INC # F8: 3 # A7: 2,6 => UNS * INC # F8: 3 # B8: 2,6 => UNS * INC # F8: 3 # I8: 2,6 => UNS * INC # F8: 3 # I8: 1,7 => UNS * INC # F8: 3 # A5: 2,6 => UNS * INC # F8: 3 # A6: 2,6 => UNS * INC # F8: 3 => UNS * INC # D7: 3 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
A2. Very Deep Constraint Pair Analysis
Full list of HDP chains traversed for G3,G6: 5..:
* INC # G3: 5 # H1: 1,2 => UNS * INC # G3: 5 # H3: 1,2 => UNS * INC # G3: 5 # C1: 1,2 => UNS * INC # G3: 5 # C1: 3,4 => UNS * INC # G3: 5 # I8: 1,2 => UNS * INC # G3: 5 # I8: 6 => UNS * INC # G3: 5 # E5: 1,6 => UNS * INC # G3: 5 # D6: 1,6 => UNS * INC # G3: 5 # E6: 1,6 => UNS * INC # G3: 5 # H4: 1,6 => UNS * INC # G3: 5 # H4: 9 => UNS * INC # G3: 5 # D2: 1,6 => UNS * INC # G3: 5 # D2: 2,3,4 => UNS * INC # G3: 5 # E6: 6,7 => UNS * INC # G3: 5 # F6: 6,7 => UNS * INC # G3: 5 # B4: 6,7 => UNS * INC # G3: 5 # B4: 9 => UNS * INC # G3: 5 # F8: 6,7 => UNS * INC # G3: 5 # F8: 3,4 => UNS * INC # G3: 5 # C7: 4,7 => UNS * INC # G3: 5 # B8: 4,7 => UNS * INC # G3: 5 # B9: 4,7 => UNS * INC # G3: 5 # G9: 4,7 => UNS * INC # G3: 5 # G9: 8,9 => UNS * PRF # G3: 5 # H1: 1,2 # C2: 3,4 => SOL * STA # G3: 5 # H1: 1,2 + C2: 3,4 * CNT 25 HDP CHAINS / 27 HYP OPENED