Analysis of xx-ph-00024239-KC40b-base.sdk
Contents
Original Sudoku
level: very deep
position: 98.7.....6...9.7....7..5...4......3...95..8......32..4.1..5...9..69..5.......1.2. initial
Autosolve
position: 98.7.....6...9.7....7..5...4....9.3...95..8......32..4.1..5...9..69..5...9...1.2. autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000006
List of important HDP chains detected for A6,A9: 5..:
* DIS # A6: 5 # C4: 2 => CTR => C4: 1,8 * CNT 1 HDP CHAINS / 18 HYP OPENED
List of important HDP chains detected for A9,C9: 5..:
* DIS # C9: 5 # C4: 2 => CTR => C4: 1,8 * CNT 1 HDP CHAINS / 18 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Very Deep Constraint Pair Analysis
Time used: 0:00:55.742973
List of important HDP chains detected for H3,H6: 9..:
* DIS # H6: 9 # B5: 2,6 # B2: 3,4 => CTR => B2: 5 * DIS # H6: 9 # B5: 2,6 + B2: 5 # F7: 4,6 => CTR => F7: 3,7,8 * DIS # H6: 9 # B5: 2,6 + B2: 5 + F7: 3,7,8 # F1: 3 => CTR => F1: 4,6 * DIS # H6: 9 # B5: 2,6 + B2: 5 + F7: 3,7,8 + F1: 4,6 # E5: 4,6 => CTR => E5: 1 * DIS # H6: 9 # B5: 2,6 + B2: 5 + F7: 3,7,8 + F1: 4,6 + E5: 1 # G4: 1,6 => CTR => G4: 2 * DIS # H6: 9 # B5: 2,6 + B2: 5 + F7: 3,7,8 + F1: 4,6 + E5: 1 + G4: 2 # C1: 3,4 => CTR => C1: 2 * PRF # H6: 9 # B5: 2,6 + B2: 5 + F7: 3,7,8 + F1: 4,6 + E5: 1 + G4: 2 + C1: 2 => SOL * STA # H6: 9 + B5: 2,6 * CNT 7 HDP CHAINS / 48 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...9.7....7..5...4......3...95..8......32..4.1..5...9..69..5.......1.2. | initial |
| 98.7.....6...9.7....7..5...4....9.3...95..8......32..4.1..5...9..69..5...9...1.2. | autosolve |
Classification
level: very deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) H8,I8: 1.. / H8 = 1 => 1 pairs (_) / I8 = 1 => 0 pairs (_) D7,E8: 2.. / D7 = 2 => 0 pairs (_) / E8 = 2 => 0 pairs (_) A5,B5: 3.. / A5 = 3 => 1 pairs (_) / B5 = 3 => 1 pairs (_) E5,F5: 4.. / E5 = 4 => 1 pairs (_) / F5 = 4 => 2 pairs (_) I4,H6: 5.. / I4 = 5 => 0 pairs (_) / H6 = 5 => 2 pairs (_) A9,C9: 5.. / A9 = 5 => 0 pairs (_) / C9 = 5 => 2 pairs (_) A6,A9: 5.. / A6 = 5 => 2 pairs (_) / A9 = 5 => 0 pairs (_) G3,H3: 9.. / G3 = 9 => 3 pairs (_) / H3 = 9 => 0 pairs (_) G6,H6: 9.. / G6 = 9 => 0 pairs (_) / H6 = 9 => 3 pairs (_) G3,G6: 9.. / G3 = 9 => 3 pairs (_) / G6 = 9 => 0 pairs (_) H3,H6: 9.. / H3 = 9 => 0 pairs (_) / H6 = 9 => 3 pairs (_) * DURATION: 0:00:07.098126 START: 07:45:17.767995 END: 07:45:24.866121 2020-12-08 * CP COUNT: (11) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) H3,H6: 9.. / H3 = 9 ==> 0 pairs (_) / H6 = 9 ==> 3 pairs (_) G3,G6: 9.. / G3 = 9 ==> 3 pairs (_) / G6 = 9 ==> 0 pairs (_) G6,H6: 9.. / G6 = 9 ==> 0 pairs (_) / H6 = 9 ==> 3 pairs (_) G3,H3: 9.. / G3 = 9 ==> 3 pairs (_) / H3 = 9 ==> 0 pairs (_) E5,F5: 4.. / E5 = 4 ==> 1 pairs (_) / F5 = 4 ==> 2 pairs (_) A6,A9: 5.. / A6 = 5 ==> 3 pairs (_) / A9 = 5 ==> 0 pairs (_) A9,C9: 5.. / A9 = 5 ==> 0 pairs (_) / C9 = 5 ==> 3 pairs (_) I4,H6: 5.. / I4 = 5 ==> 0 pairs (_) / H6 = 5 ==> 2 pairs (_) A5,B5: 3.. / A5 = 3 ==> 1 pairs (_) / B5 = 3 ==> 1 pairs (_) H8,I8: 1.. / H8 = 1 ==> 1 pairs (_) / I8 = 1 ==> 0 pairs (_) D7,E8: 2.. / D7 = 2 ==> 0 pairs (_) / E8 = 2 ==> 0 pairs (_) * DURATION: 0:01:16.874667 START: 07:45:24.866745 END: 07:46:41.741412 2020-12-08 * REASONING A6,A9: 5.. * DIS # A6: 5 # C4: 2 => CTR => C4: 1,8 * CNT 1 HDP CHAINS / 18 HYP OPENED * REASONING A9,C9: 5.. * DIS # C9: 5 # C4: 2 => CTR => C4: 1,8 * CNT 1 HDP CHAINS / 18 HYP OPENED * DCP COUNT: (11) * INCONCLUSIVE -------------------------------------------------- * VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE) H3,H6: 9.. / H3 = 9 => 0 pairs (X) / H6 = 9 ==> 0 pairs (*) * DURATION: 0:00:55.740811 START: 07:46:41.860278 END: 07:47:37.601089 2020-12-08 * REASONING H3,H6: 9.. * DIS # H6: 9 # B5: 2,6 # B2: 3,4 => CTR => B2: 5 * DIS # H6: 9 # B5: 2,6 + B2: 5 # F7: 4,6 => CTR => F7: 3,7,8 * DIS # H6: 9 # B5: 2,6 + B2: 5 + F7: 3,7,8 # F1: 3 => CTR => F1: 4,6 * DIS # H6: 9 # B5: 2,6 + B2: 5 + F7: 3,7,8 + F1: 4,6 # E5: 4,6 => CTR => E5: 1 * DIS # H6: 9 # B5: 2,6 + B2: 5 + F7: 3,7,8 + F1: 4,6 + E5: 1 # G4: 1,6 => CTR => G4: 2 * DIS # H6: 9 # B5: 2,6 + B2: 5 + F7: 3,7,8 + F1: 4,6 + E5: 1 + G4: 2 # C1: 3,4 => CTR => C1: 2 * PRF # H6: 9 # B5: 2,6 + B2: 5 + F7: 3,7,8 + F1: 4,6 + E5: 1 + G4: 2 + C1: 2 => SOL * STA # H6: 9 + B5: 2,6 * CNT 7 HDP CHAINS / 48 HYP OPENED * VDCP COUNT: (1) * SOLUTION FOUND
Header Info
24239;KC40b;GP;24;11.30;1.20;1.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for H3,H6: 9..:
* INC # H6: 9 # B5: 2,6 => UNS * INC # H6: 9 # B5: 3 => UNS * INC # H6: 9 # G4: 2,6 => UNS * INC # H6: 9 # G4: 1 => UNS * INC # H6: 9 # E5: 4,6 => UNS * INC # H6: 9 # E5: 1 => UNS * INC # H6: 9 # F1: 4,6 => UNS * INC # H6: 9 # F7: 4,6 => UNS * INC # H6: 9 # G4: 1,6 => UNS * INC # H6: 9 # H5: 1,6 => UNS * INC # H6: 9 # I5: 1,6 => UNS * INC # H6: 9 # D6: 1,6 => UNS * INC # H6: 9 # D6: 8 => UNS * INC # H6: 9 # G1: 1,6 => UNS * INC # H6: 9 # G1: 2,3,4 => UNS * INC # H6: 9 => UNS * INC # H3: 9 => UNS * CNT 17 HDP CHAINS / 17 HYP OPENED
Full list of HDP chains traversed for G3,G6: 9..:
* INC # G3: 9 # B5: 2,6 => UNS * INC # G3: 9 # B5: 3 => UNS * INC # G3: 9 # G4: 2,6 => UNS * INC # G3: 9 # G4: 1 => UNS * INC # G3: 9 # E5: 4,6 => UNS * INC # G3: 9 # E5: 1 => UNS * INC # G3: 9 # F1: 4,6 => UNS * INC # G3: 9 # F7: 4,6 => UNS * INC # G3: 9 # G4: 1,6 => UNS * INC # G3: 9 # H5: 1,6 => UNS * INC # G3: 9 # I5: 1,6 => UNS * INC # G3: 9 # D6: 1,6 => UNS * INC # G3: 9 # D6: 8 => UNS * INC # G3: 9 # G1: 1,6 => UNS * INC # G3: 9 # G1: 2,3,4 => UNS * INC # G3: 9 => UNS * INC # G6: 9 => UNS * CNT 17 HDP CHAINS / 17 HYP OPENED
Full list of HDP chains traversed for G6,H6: 9..:
* INC # H6: 9 # B5: 2,6 => UNS * INC # H6: 9 # B5: 3 => UNS * INC # H6: 9 # G4: 2,6 => UNS * INC # H6: 9 # G4: 1 => UNS * INC # H6: 9 # E5: 4,6 => UNS * INC # H6: 9 # E5: 1 => UNS * INC # H6: 9 # F1: 4,6 => UNS * INC # H6: 9 # F7: 4,6 => UNS * INC # H6: 9 # G4: 1,6 => UNS * INC # H6: 9 # H5: 1,6 => UNS * INC # H6: 9 # I5: 1,6 => UNS * INC # H6: 9 # D6: 1,6 => UNS * INC # H6: 9 # D6: 8 => UNS * INC # H6: 9 # G1: 1,6 => UNS * INC # H6: 9 # G1: 2,3,4 => UNS * INC # H6: 9 => UNS * INC # G6: 9 => UNS * CNT 17 HDP CHAINS / 17 HYP OPENED
Full list of HDP chains traversed for G3,H3: 9..:
* INC # G3: 9 # B5: 2,6 => UNS * INC # G3: 9 # B5: 3 => UNS * INC # G3: 9 # G4: 2,6 => UNS * INC # G3: 9 # G4: 1 => UNS * INC # G3: 9 # E5: 4,6 => UNS * INC # G3: 9 # E5: 1 => UNS * INC # G3: 9 # F1: 4,6 => UNS * INC # G3: 9 # F7: 4,6 => UNS * INC # G3: 9 # G4: 1,6 => UNS * INC # G3: 9 # H5: 1,6 => UNS * INC # G3: 9 # I5: 1,6 => UNS * INC # G3: 9 # D6: 1,6 => UNS * INC # G3: 9 # D6: 8 => UNS * INC # G3: 9 # G1: 1,6 => UNS * INC # G3: 9 # G1: 2,3,4 => UNS * INC # G3: 9 => UNS * INC # H3: 9 => UNS * CNT 17 HDP CHAINS / 17 HYP OPENED
Full list of HDP chains traversed for E5,F5: 4..:
* INC # F5: 4 # D3: 3,6 => UNS * INC # F5: 4 # D3: 1,2,4,8 => UNS * INC # F5: 4 # G1: 3,6 => UNS * INC # F5: 4 # I1: 3,6 => UNS * INC # F5: 4 # F7: 3,6 => UNS * INC # F5: 4 # F7: 7,8 => UNS * INC # F5: 4 # D2: 3,8 => UNS * INC # F5: 4 # D3: 3,8 => UNS * INC # F5: 4 # I2: 3,8 => UNS * INC # F5: 4 # I2: 1,2,5 => UNS * INC # F5: 4 # F7: 3,8 => UNS * INC # F5: 4 # F8: 3,8 => UNS * INC # F5: 4 => UNS * INC # E5: 4 # E4: 6,7 => UNS * INC # E5: 4 # E4: 1,8 => UNS * INC # E5: 4 # B5: 6,7 => UNS * INC # E5: 4 # H5: 6,7 => UNS * INC # E5: 4 # I5: 6,7 => UNS * INC # E5: 4 # F7: 6,7 => UNS * INC # E5: 4 # F7: 3,4,8 => UNS * INC # E5: 4 => UNS * CNT 21 HDP CHAINS / 21 HYP OPENED
Full list of HDP chains traversed for A6,A9: 5..:
* INC # A6: 5 # B4: 6,7 => UNS * INC # A6: 5 # B5: 6,7 => UNS * INC # A6: 5 # H6: 6,7 => UNS * INC # A6: 5 # H6: 1,9 => UNS * INC # A6: 5 # C4: 1,8 => UNS * DIS # A6: 5 # C4: 2 => CTR => C4: 1,8 * INC # A6: 5 + C4: 1,8 # D6: 1,8 => UNS * INC # A6: 5 + C4: 1,8 # D6: 6 => UNS * INC # A6: 5 + C4: 1,8 # D4: 1,8 => UNS * INC # A6: 5 + C4: 1,8 # E4: 1,8 => UNS * INC # A6: 5 + C4: 1,8 # B4: 6,7 => UNS * INC # A6: 5 + C4: 1,8 # B5: 6,7 => UNS * INC # A6: 5 + C4: 1,8 # H6: 6,7 => UNS * INC # A6: 5 + C4: 1,8 # H6: 1,9 => UNS * INC # A6: 5 + C4: 1,8 # D6: 1,8 => UNS * INC # A6: 5 + C4: 1,8 # D6: 6 => UNS * INC # A6: 5 + C4: 1,8 => UNS * INC # A9: 5 => UNS * CNT 18 HDP CHAINS / 18 HYP OPENED
Full list of HDP chains traversed for A9,C9: 5..:
* INC # C9: 5 # B4: 6,7 => UNS * INC # C9: 5 # B5: 6,7 => UNS * INC # C9: 5 # H6: 6,7 => UNS * INC # C9: 5 # H6: 1,9 => UNS * INC # C9: 5 # C4: 1,8 => UNS * DIS # C9: 5 # C4: 2 => CTR => C4: 1,8 * INC # C9: 5 + C4: 1,8 # D6: 1,8 => UNS * INC # C9: 5 + C4: 1,8 # D6: 6 => UNS * INC # C9: 5 + C4: 1,8 # D4: 1,8 => UNS * INC # C9: 5 + C4: 1,8 # E4: 1,8 => UNS * INC # C9: 5 + C4: 1,8 # B4: 6,7 => UNS * INC # C9: 5 + C4: 1,8 # B5: 6,7 => UNS * INC # C9: 5 + C4: 1,8 # H6: 6,7 => UNS * INC # C9: 5 + C4: 1,8 # H6: 1,9 => UNS * INC # C9: 5 + C4: 1,8 # D6: 1,8 => UNS * INC # C9: 5 + C4: 1,8 # D6: 6 => UNS * INC # C9: 5 + C4: 1,8 => UNS * INC # A9: 5 => UNS * CNT 18 HDP CHAINS / 18 HYP OPENED
Full list of HDP chains traversed for I4,H6: 5..:
* INC # H6: 5 # C4: 1,8 => UNS * INC # H6: 5 # A6: 1,8 => UNS * INC # H6: 5 # D6: 1,8 => UNS * INC # H6: 5 # D6: 6 => UNS * INC # H6: 5 => UNS * INC # I4: 5 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
Full list of HDP chains traversed for A5,B5: 3..:
* INC # A5: 3 # C1: 1,2 => UNS * INC # A5: 3 # C2: 1,2 => UNS * INC # A5: 3 # D3: 1,2 => UNS * INC # A5: 3 # E3: 1,2 => UNS * INC # A5: 3 # G3: 1,2 => UNS * INC # A5: 3 # I3: 1,2 => UNS * INC # A5: 3 => UNS * INC # B5: 3 # C1: 2,4 => UNS * INC # B5: 3 # B2: 2,4 => UNS * INC # B5: 3 # C2: 2,4 => UNS * INC # B5: 3 # D3: 2,4 => UNS * INC # B5: 3 # E3: 2,4 => UNS * INC # B5: 3 # G3: 2,4 => UNS * INC # B5: 3 # B8: 2,4 => UNS * INC # B5: 3 # B8: 7 => UNS * INC # B5: 3 => UNS * CNT 16 HDP CHAINS / 16 HYP OPENED
Full list of HDP chains traversed for H8,I8: 1..:
* INC # H8: 1 # I4: 6,7 => UNS * INC # H8: 1 # I5: 6,7 => UNS * INC # H8: 1 # H6: 6,7 => UNS * INC # H8: 1 # B5: 6,7 => UNS * INC # H8: 1 # E5: 6,7 => UNS * INC # H8: 1 # F5: 6,7 => UNS * INC # H8: 1 # H7: 6,7 => UNS * INC # H8: 1 # H7: 4,8 => UNS * INC # H8: 1 => UNS * INC # I8: 1 => UNS * CNT 10 HDP CHAINS / 10 HYP OPENED
Full list of HDP chains traversed for D7,E8: 2..:
* INC # D7: 2 => UNS * INC # E8: 2 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A2. Very Deep Constraint Pair Analysis
Full list of HDP chains traversed for H3,H6: 9..:
* INC # H6: 9 # B5: 2,6 => UNS * INC # H6: 9 # B5: 3 => UNS * INC # H6: 9 # G4: 2,6 => UNS * INC # H6: 9 # G4: 1 => UNS * INC # H6: 9 # E5: 4,6 => UNS * INC # H6: 9 # E5: 1 => UNS * INC # H6: 9 # F1: 4,6 => UNS * INC # H6: 9 # F7: 4,6 => UNS * INC # H6: 9 # G4: 1,6 => UNS * INC # H6: 9 # H5: 1,6 => UNS * INC # H6: 9 # I5: 1,6 => UNS * INC # H6: 9 # D6: 1,6 => UNS * INC # H6: 9 # D6: 8 => UNS * INC # H6: 9 # G1: 1,6 => UNS * INC # H6: 9 # G1: 2,3,4 => UNS * INC # H6: 9 # B5: 2,6 # C1: 1,2 => UNS * INC # H6: 9 # B5: 2,6 # C2: 1,2 => UNS * INC # H6: 9 # B5: 2,6 # D3: 1,2 => UNS * INC # H6: 9 # B5: 2,6 # E3: 1,2 => UNS * INC # H6: 9 # B5: 2,6 # I3: 1,2 => UNS * INC # H6: 9 # B5: 2,6 # C1: 3,4 => UNS * DIS # H6: 9 # B5: 2,6 # B2: 3,4 => CTR => B2: 5 * INC # H6: 9 # B5: 2,6 + B2: 5 # C2: 3,4 => UNS * INC # H6: 9 # B5: 2,6 + B2: 5 # D3: 3,4 => UNS * INC # H6: 9 # B5: 2,6 + B2: 5 # D3: 1,2,6 => UNS * INC # H6: 9 # B5: 2,6 + B2: 5 # C1: 3,4 => UNS * INC # H6: 9 # B5: 2,6 + B2: 5 # C2: 3,4 => UNS * INC # H6: 9 # B5: 2,6 + B2: 5 # D3: 3,4 => UNS * INC # H6: 9 # B5: 2,6 + B2: 5 # D3: 1,2,6 => UNS * INC # H6: 9 # B5: 2,6 + B2: 5 # G4: 2,6 => UNS * INC # H6: 9 # B5: 2,6 + B2: 5 # G4: 1 => UNS * INC # H6: 9 # B5: 2,6 + B2: 5 # A6: 1,8 => UNS * INC # H6: 9 # B5: 2,6 + B2: 5 # C6: 1,8 => UNS * INC # H6: 9 # B5: 2,6 + B2: 5 # D4: 1,8 => UNS * INC # H6: 9 # B5: 2,6 + B2: 5 # D4: 6 => UNS * INC # H6: 9 # B5: 2,6 + B2: 5 # I5: 2,6 => UNS * INC # H6: 9 # B5: 2,6 + B2: 5 # I5: 1,7 => UNS * INC # H6: 9 # B5: 2,6 + B2: 5 # E5: 4,6 => UNS * INC # H6: 9 # B5: 2,6 + B2: 5 # E5: 1 => UNS * INC # H6: 9 # B5: 2,6 + B2: 5 # F1: 4,6 => UNS * DIS # H6: 9 # B5: 2,6 + B2: 5 # F7: 4,6 => CTR => F7: 3,7,8 * INC # H6: 9 # B5: 2,6 + B2: 5 + F7: 3,7,8 # F1: 4,6 => UNS * DIS # H6: 9 # B5: 2,6 + B2: 5 + F7: 3,7,8 # F1: 3 => CTR => F1: 4,6 * DIS # H6: 9 # B5: 2,6 + B2: 5 + F7: 3,7,8 + F1: 4,6 # E5: 4,6 => CTR => E5: 1 * DIS # H6: 9 # B5: 2,6 + B2: 5 + F7: 3,7,8 + F1: 4,6 + E5: 1 # G4: 1,6 => CTR => G4: 2 * DIS # H6: 9 # B5: 2,6 + B2: 5 + F7: 3,7,8 + F1: 4,6 + E5: 1 + G4: 2 # C1: 3,4 => CTR => C1: 2 * PRF # H6: 9 # B5: 2,6 + B2: 5 + F7: 3,7,8 + F1: 4,6 + E5: 1 + G4: 2 + C1: 2 => SOL * STA # H6: 9 + B5: 2,6 * CNT 47 HDP CHAINS / 48 HYP OPENED