Analysis of xx-ph-00000705-H25-base.sdk
Contents
Original Sudoku
level: deep
position: 1....6.8..5.7.......9.1.4......3.9.4.1.........4....23..1.9.2..6..8......7...5... initial
Autosolve
position: 1....6.8..5.7.......9.1.4......3.9.4.1.........4....23..1.9.2..6..8......7...5... autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000023
List of important HDP chains detected for A5,C5: 3..:
* DIS # C5: 3 # C4: 2,7 => CTR => C4: 5,6,8 * DIS # C5: 3 + C4: 5,6,8 # A9: 2,8 => CTR => A9: 3,4,9 * CNT 2 HDP CHAINS / 18 HYP OPENED
List of important HDP chains detected for B1,A2: 4..:
* DIS # B1: 4 # D1: 2,5 => CTR => D1: 3,9 * CNT 1 HDP CHAINS / 42 HYP OPENED
List of important HDP chains detected for C2,B3: 6..:
* DIS # B3: 6 # A5: 8,9 => CTR => A5: 2,3,5,7 * DIS # B3: 6 + A5: 2,3,5,7 # A6: 8,9 => CTR => A6: 5,7 * CNT 2 HDP CHAINS / 25 HYP OPENED
List of important HDP chains detected for C1,A3: 7..:
* DIS # A3: 7 # C2: 2,3 => CTR => C2: 6,8 * DIS # A3: 7 + C2: 6,8 # C5: 2,3 => CTR => C5: 5,6,7,8 * PRF # A3: 7 + C2: 6,8 + C5: 5,6,7,8 # C8: 2,3 => SOL * STA # A3: 7 + C2: 6,8 + C5: 5,6,7,8 + C8: 2,3 * CNT 3 HDP CHAINS / 16 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....6.8..5.7.......9.1.4......3.9.4.1.........4....23..1.9.2..6..8......7...5... | initial |
| 1....6.8..5.7.......9.1.4......3.9.4.1.........4....23..1.9.2..6..8......7...5... | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) H4,G6: 1.. / H4 = 1 => 0 pairs (_) / G6 = 1 => 1 pairs (_) F8,D9: 1.. / F8 = 1 => 0 pairs (_) / D9 = 1 => 0 pairs (_) A5,C5: 3.. / A5 = 3 => 0 pairs (_) / C5 = 3 => 3 pairs (_) B1,A2: 4.. / B1 = 4 => 2 pairs (_) / A2 = 4 => 2 pairs (_) A7,C8: 5.. / A7 = 5 => 1 pairs (_) / C8 = 5 => 0 pairs (_) C2,B3: 6.. / C2 = 6 => 1 pairs (_) / B3 = 6 => 2 pairs (_) C1,A3: 7.. / C1 = 7 => 1 pairs (_) / A3 = 7 => 1 pairs (_) D1,F2: 9.. / D1 = 9 => 0 pairs (_) / F2 = 9 => 0 pairs (_) B8,A9: 9.. / B8 = 9 => 1 pairs (_) / A9 = 9 => 0 pairs (_) D1,I1: 9.. / D1 = 9 => 0 pairs (_) / I1 = 9 => 0 pairs (_) B6,B8: 9.. / B6 = 9 => 0 pairs (_) / B8 = 9 => 1 pairs (_) * DURATION: 0:00:07.460835 START: 09:48:00.648556 END: 09:48:08.109391 2020-11-21 * CP COUNT: (11) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) A5,C5: 3.. / A5 = 3 ==> 0 pairs (_) / C5 = 3 ==> 3 pairs (_) B1,A2: 4.. / B1 = 4 ==> 3 pairs (_) / A2 = 4 ==> 2 pairs (_) C2,B3: 6.. / C2 = 6 ==> 1 pairs (_) / B3 = 6 ==> 2 pairs (_) C1,A3: 7.. / C1 = 7 ==> 1 pairs (_) / A3 = 7 ==> 0 pairs (*) * DURATION: 0:00:59.637941 START: 09:48:08.110547 END: 09:49:07.748488 2020-11-21 * REASONING A5,C5: 3.. * DIS # C5: 3 # C4: 2,7 => CTR => C4: 5,6,8 * DIS # C5: 3 + C4: 5,6,8 # A9: 2,8 => CTR => A9: 3,4,9 * CNT 2 HDP CHAINS / 18 HYP OPENED * REASONING B1,A2: 4.. * DIS # B1: 4 # D1: 2,5 => CTR => D1: 3,9 * CNT 1 HDP CHAINS / 42 HYP OPENED * REASONING C2,B3: 6.. * DIS # B3: 6 # A5: 8,9 => CTR => A5: 2,3,5,7 * DIS # B3: 6 + A5: 2,3,5,7 # A6: 8,9 => CTR => A6: 5,7 * CNT 2 HDP CHAINS / 25 HYP OPENED * REASONING C1,A3: 7.. * DIS # A3: 7 # C2: 2,3 => CTR => C2: 6,8 * DIS # A3: 7 + C2: 6,8 # C5: 2,3 => CTR => C5: 5,6,7,8 * PRF # A3: 7 + C2: 6,8 + C5: 5,6,7,8 # C8: 2,3 => SOL * STA # A3: 7 + C2: 6,8 + C5: 5,6,7,8 + C8: 2,3 * CNT 3 HDP CHAINS / 16 HYP OPENED * DCP COUNT: (4) * SOLUTION FOUND
Header Info
705;H25;elev;22;11.30;11.30;10.50
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for A5,C5: 3..:
* INC # C5: 3 # A3: 2,7 => UNS * INC # C5: 3 # A3: 3,8 => UNS * INC # C5: 3 # I1: 2,7 => UNS * INC # C5: 3 # I1: 5,9 => UNS * DIS # C5: 3 # C4: 2,7 => CTR => C4: 5,6,8 * DIS # C5: 3 + C4: 5,6,8 # A9: 2,8 => CTR => A9: 3,4,9 * INC # C5: 3 + C4: 5,6,8 + A9: 3,4,9 # C2: 2,8 => UNS * INC # C5: 3 + C4: 5,6,8 + A9: 3,4,9 # C2: 6 => UNS * INC # C5: 3 + C4: 5,6,8 + A9: 3,4,9 # H3: 3,5 => UNS * INC # C5: 3 + C4: 5,6,8 + A9: 3,4,9 # H3: 6,7 => UNS * INC # C5: 3 + C4: 5,6,8 + A9: 3,4,9 # D1: 3,5 => UNS * INC # C5: 3 + C4: 5,6,8 + A9: 3,4,9 # D1: 2,4,9 => UNS * INC # C5: 3 + C4: 5,6,8 + A9: 3,4,9 # G8: 3,5 => UNS * INC # C5: 3 + C4: 5,6,8 + A9: 3,4,9 # G8: 1,7 => UNS * INC # C5: 3 + C4: 5,6,8 + A9: 3,4,9 # C2: 2,8 => UNS * INC # C5: 3 + C4: 5,6,8 + A9: 3,4,9 # C2: 6 => UNS * INC # C5: 3 + C4: 5,6,8 + A9: 3,4,9 => UNS * INC # A5: 3 => UNS * CNT 18 HDP CHAINS / 18 HYP OPENED
Full list of HDP chains traversed for B1,A2: 4..:
* DIS # B1: 4 # D1: 2,5 => CTR => D1: 3,9 * INC # B1: 4 + D1: 3,9 # D3: 2,5 => UNS * INC # B1: 4 + D1: 3,9 # D3: 2,5 => UNS * INC # B1: 4 + D1: 3,9 # D3: 3 => UNS * INC # B1: 4 + D1: 3,9 # I1: 2,5 => UNS * INC # B1: 4 + D1: 3,9 # I1: 7,9 => UNS * INC # B1: 4 + D1: 3,9 # E5: 2,5 => UNS * INC # B1: 4 + D1: 3,9 # E5: 4,6,7,8 => UNS * INC # B1: 4 + D1: 3,9 # A7: 3,8 => UNS * INC # B1: 4 + D1: 3,9 # A9: 3,8 => UNS * INC # B1: 4 + D1: 3,9 # C9: 3,8 => UNS * INC # B1: 4 + D1: 3,9 # B3: 3,8 => UNS * INC # B1: 4 + D1: 3,9 # B3: 2,6 => UNS * INC # B1: 4 + D1: 3,9 # F2: 3,9 => UNS * INC # B1: 4 + D1: 3,9 # F2: 2,4,8 => UNS * INC # B1: 4 + D1: 3,9 # D3: 2,5 => UNS * INC # B1: 4 + D1: 3,9 # D3: 3 => UNS * INC # B1: 4 + D1: 3,9 # I1: 2,5 => UNS * INC # B1: 4 + D1: 3,9 # I1: 7,9 => UNS * INC # B1: 4 + D1: 3,9 # E5: 2,5 => UNS * INC # B1: 4 + D1: 3,9 # E5: 4,6,7,8 => UNS * INC # B1: 4 + D1: 3,9 # A7: 3,8 => UNS * INC # B1: 4 + D1: 3,9 # A9: 3,8 => UNS * INC # B1: 4 + D1: 3,9 # C9: 3,8 => UNS * INC # B1: 4 + D1: 3,9 # B3: 3,8 => UNS * INC # B1: 4 + D1: 3,9 # B3: 2,6 => UNS * INC # B1: 4 + D1: 3,9 => UNS * INC # A2: 4 # C1: 2,3 => UNS * INC # A2: 4 # C2: 2,3 => UNS * INC # A2: 4 # A3: 2,3 => UNS * INC # A2: 4 # B3: 2,3 => UNS * INC # A2: 4 # D1: 2,3 => UNS * INC # A2: 4 # D1: 4,5,9 => UNS * INC # A2: 4 # B8: 2,3 => UNS * INC # A2: 4 # B8: 4,9 => UNS * INC # A2: 4 # F2: 2,8 => UNS * INC # A2: 4 # F3: 2,8 => UNS * INC # A2: 4 # C2: 2,8 => UNS * INC # A2: 4 # C2: 3,6 => UNS * INC # A2: 4 # E5: 2,8 => UNS * INC # A2: 4 # E5: 4,5,6,7 => UNS * INC # A2: 4 => UNS * CNT 42 HDP CHAINS / 42 HYP OPENED
Full list of HDP chains traversed for C2,B3: 6..:
* INC # B3: 6 # A4: 2,8 => UNS * INC # B3: 6 # C4: 2,8 => UNS * INC # B3: 6 # A5: 2,8 => UNS * INC # B3: 6 # C5: 2,8 => UNS * INC # B3: 6 # F4: 2,8 => UNS * INC # B3: 6 # F4: 1,7 => UNS * DIS # B3: 6 # A5: 8,9 => CTR => A5: 2,3,5,7 * DIS # B3: 6 + A5: 2,3,5,7 # A6: 8,9 => CTR => A6: 5,7 * INC # B3: 6 + A5: 2,3,5,7 + A6: 5,7 # A4: 2,8 => UNS * INC # B3: 6 + A5: 2,3,5,7 + A6: 5,7 # C4: 2,8 => UNS * INC # B3: 6 + A5: 2,3,5,7 + A6: 5,7 # C5: 2,8 => UNS * INC # B3: 6 + A5: 2,3,5,7 + A6: 5,7 # F4: 2,8 => UNS * INC # B3: 6 + A5: 2,3,5,7 + A6: 5,7 # F4: 1,7 => UNS * INC # B3: 6 + A5: 2,3,5,7 + A6: 5,7 # A4: 5,7 => UNS * INC # B3: 6 + A5: 2,3,5,7 + A6: 5,7 # C4: 5,7 => UNS * INC # B3: 6 + A5: 2,3,5,7 + A6: 5,7 # A5: 5,7 => UNS * INC # B3: 6 + A5: 2,3,5,7 + A6: 5,7 # C5: 5,7 => UNS * INC # B3: 6 + A5: 2,3,5,7 + A6: 5,7 # E6: 5,7 => UNS * INC # B3: 6 + A5: 2,3,5,7 + A6: 5,7 # G6: 5,7 => UNS * INC # B3: 6 + A5: 2,3,5,7 + A6: 5,7 => UNS * INC # C2: 6 # H2: 1,3 => UNS * INC # C2: 6 # H2: 9 => UNS * INC # C2: 6 # G8: 1,3 => UNS * INC # C2: 6 # G9: 1,3 => UNS * INC # C2: 6 => UNS * CNT 25 HDP CHAINS / 25 HYP OPENED
Full list of HDP chains traversed for C1,A3: 7..:
* INC # C1: 7 # H3: 3,5 => UNS * INC # C1: 7 # H3: 6,7 => UNS * INC # C1: 7 # D1: 3,5 => UNS * INC # C1: 7 # D1: 2,4,9 => UNS * INC # C1: 7 # G8: 3,5 => UNS * INC # C1: 7 # G8: 1,7 => UNS * INC # C1: 7 => UNS * INC # A3: 7 # B1: 2,3 => UNS * INC # A3: 7 # A2: 2,3 => UNS * DIS # A3: 7 # C2: 2,3 => CTR => C2: 6,8 * INC # A3: 7 + C2: 6,8 # B3: 2,3 => UNS * INC # A3: 7 + C2: 6,8 # D1: 2,3 => UNS * INC # A3: 7 + C2: 6,8 # D1: 4,5,9 => UNS * DIS # A3: 7 + C2: 6,8 # C5: 2,3 => CTR => C5: 5,6,7,8 * PRF # A3: 7 + C2: 6,8 + C5: 5,6,7,8 # C8: 2,3 => SOL * STA # A3: 7 + C2: 6,8 + C5: 5,6,7,8 + C8: 2,3 * CNT 15 HDP CHAINS / 16 HYP OPENED