Analysis of xx-ph-00001554-540-base.sdk
Contents
Original Sudoku
level: very deep
position: 1.....7...5..8...6...3...1.....6...4...9..3...46.....23..7......85.4......2..5... initial
Autosolve
position: 1.....7...5..8...6...3...1.....6...4...9.436..46.....23..7......85.4......2..5... autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000009
List of important HDP chains detected for D1,D2: 4..:
* DIS # D2: 4 # H1: 2,9 => CTR => H1: 3,4,5,8 * CNT 1 HDP CHAINS / 19 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Very Deep Constraint Pair Analysis
Time used: 0:00:51.452410
List of important HDP chains detected for D2,F2: 1..:
* DIS # D2: 1 # D4: 5,8 # C7: 1,9 => CTR => C7: 4 * DIS # D2: 1 # D4: 5,8 + C7: 4 # G7: 1,9 => CTR => G7: 2,5,6 * DIS # D2: 1 # D4: 5,8 + C7: 4 + G7: 2,5,6 # E9: 1,9 => CTR => E9: 3 * DIS # D2: 1 # D4: 5,8 + C7: 4 + G7: 2,5,6 + E9: 3 # B4: 2,7 => CTR => B4: 3,9 * DIS # D2: 1 # D4: 5,8 + C7: 4 + G7: 2,5,6 + E9: 3 + B4: 3,9 # A5: 2,7 => CTR => A5: 5,8 * DIS # D2: 1 # D4: 5,8 + C7: 4 + G7: 2,5,6 + E9: 3 + B4: 3,9 + A5: 5,8 # A4: 5,8,9 => CTR => A4: 2,7 * DIS # D2: 1 # D4: 5,8 + C7: 4 + G7: 2,5,6 + E9: 3 + B4: 3,9 + A5: 5,8 + A4: 2,7 # E5: 1 => CTR => E5: 2,7 * PRF # D2: 1 # D4: 5,8 + C7: 4 + G7: 2,5,6 + E9: 3 + B4: 3,9 + A5: 5,8 + A4: 2,7 + E5: 2,7 # H4: 5,8 => SOL * STA # D2: 1 # D4: 5,8 + C7: 4 + G7: 2,5,6 + E9: 3 + B4: 3,9 + A5: 5,8 + A4: 2,7 + E5: 2,7 + H4: 5,8 * CNT 8 HDP CHAINS / 36 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.....7...5..8...6...3...1.....6...4...9..3...46.....23..7......85.4......2..5... | initial |
| 1.....7...5..8...6...3...1.....6...4...9.436..46.....23..7......85.4......2..5... | autosolve |
Classification
level: very deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) D2,F2: 1.. / D2 = 1 => 3 pairs (_) / F2 = 1 => 1 pairs (_) B4,C4: 3.. / B4 = 3 => 0 pairs (_) / C4 = 3 => 0 pairs (_) E6,F6: 3.. / E6 = 3 => 1 pairs (_) / F6 = 3 => 0 pairs (_) F8,E9: 3.. / F8 = 3 => 1 pairs (_) / E9 = 3 => 0 pairs (_) C2,H2: 3.. / C2 = 3 => 0 pairs (_) / H2 = 3 => 0 pairs (_) B1,B4: 3.. / B1 = 3 => 0 pairs (_) / B4 = 3 => 0 pairs (_) E6,E9: 3.. / E6 = 3 => 1 pairs (_) / E9 = 3 => 0 pairs (_) F6,F8: 3.. / F6 = 3 => 0 pairs (_) / F8 = 3 => 1 pairs (_) D1,D2: 4.. / D1 = 4 => 1 pairs (_) / D2 = 4 => 1 pairs (_) C7,A9: 4.. / C7 = 4 => 1 pairs (_) / A9 = 4 => 1 pairs (_) F7,D9: 8.. / F7 = 8 => 1 pairs (_) / D9 = 8 => 1 pairs (_) * DURATION: 0:00:08.091986 START: 11:36:30.922506 END: 11:36:39.014492 2020-11-29 * CP COUNT: (11) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) D2,F2: 1.. / D2 = 1 ==> 3 pairs (_) / F2 = 1 ==> 1 pairs (_) F7,D9: 8.. / F7 = 8 ==> 1 pairs (_) / D9 = 8 ==> 1 pairs (_) C7,A9: 4.. / C7 = 4 ==> 1 pairs (_) / A9 = 4 ==> 1 pairs (_) D1,D2: 4.. / D1 = 4 ==> 1 pairs (_) / D2 = 4 ==> 1 pairs (_) F6,F8: 3.. / F6 = 3 ==> 0 pairs (_) / F8 = 3 ==> 1 pairs (_) E6,E9: 3.. / E6 = 3 ==> 1 pairs (_) / E9 = 3 ==> 0 pairs (_) F8,E9: 3.. / F8 = 3 ==> 1 pairs (_) / E9 = 3 ==> 0 pairs (_) E6,F6: 3.. / E6 = 3 ==> 1 pairs (_) / F6 = 3 ==> 0 pairs (_) B1,B4: 3.. / B1 = 3 ==> 0 pairs (_) / B4 = 3 ==> 0 pairs (_) C2,H2: 3.. / C2 = 3 ==> 0 pairs (_) / H2 = 3 ==> 0 pairs (_) B4,C4: 3.. / B4 = 3 ==> 0 pairs (_) / C4 = 3 ==> 0 pairs (_) * DURATION: 0:00:58.450103 START: 11:36:39.015201 END: 11:37:37.465304 2020-11-29 * REASONING D1,D2: 4.. * DIS # D2: 4 # H1: 2,9 => CTR => H1: 3,4,5,8 * CNT 1 HDP CHAINS / 19 HYP OPENED * DCP COUNT: (11) * INCONCLUSIVE -------------------------------------------------- * VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE) D2,F2: 1.. / D2 = 1 ==> 0 pairs (*) / F2 = 1 => 0 pairs (X) * DURATION: 0:00:51.451356 START: 11:37:37.603372 END: 11:38:29.054728 2020-11-29 * REASONING D2,F2: 1.. * DIS # D2: 1 # D4: 5,8 # C7: 1,9 => CTR => C7: 4 * DIS # D2: 1 # D4: 5,8 + C7: 4 # G7: 1,9 => CTR => G7: 2,5,6 * DIS # D2: 1 # D4: 5,8 + C7: 4 + G7: 2,5,6 # E9: 1,9 => CTR => E9: 3 * DIS # D2: 1 # D4: 5,8 + C7: 4 + G7: 2,5,6 + E9: 3 # B4: 2,7 => CTR => B4: 3,9 * DIS # D2: 1 # D4: 5,8 + C7: 4 + G7: 2,5,6 + E9: 3 + B4: 3,9 # A5: 2,7 => CTR => A5: 5,8 * DIS # D2: 1 # D4: 5,8 + C7: 4 + G7: 2,5,6 + E9: 3 + B4: 3,9 + A5: 5,8 # A4: 5,8,9 => CTR => A4: 2,7 * DIS # D2: 1 # D4: 5,8 + C7: 4 + G7: 2,5,6 + E9: 3 + B4: 3,9 + A5: 5,8 + A4: 2,7 # E5: 1 => CTR => E5: 2,7 * PRF # D2: 1 # D4: 5,8 + C7: 4 + G7: 2,5,6 + E9: 3 + B4: 3,9 + A5: 5,8 + A4: 2,7 + E5: 2,7 # H4: 5,8 => SOL * STA # D2: 1 # D4: 5,8 + C7: 4 + G7: 2,5,6 + E9: 3 + B4: 3,9 + A5: 5,8 + A4: 2,7 + E5: 2,7 + H4: 5,8 * CNT 8 HDP CHAINS / 36 HYP OPENED * VDCP COUNT: (1) * SOLUTION FOUND
Header Info
1554;540;elev;21;11.30;1.20;1.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for D2,F2: 1..:
* INC # D2: 1 # D4: 5,8 => UNS * INC # D2: 1 # D4: 2 => UNS * INC # D2: 1 # A6: 5,8 => UNS * INC # D2: 1 # G6: 5,8 => UNS * INC # D2: 1 # H6: 5,8 => UNS * INC # D2: 1 # G8: 2,6 => UNS * INC # D2: 1 # G8: 1,9 => UNS * INC # D2: 1 # G9: 6,8 => UNS * INC # D2: 1 # G9: 1,4,9 => UNS * INC # D2: 1 => UNS * INC # F2: 1 # D1: 2,4 => UNS * INC # F2: 1 # D1: 5,6 => UNS * INC # F2: 1 # A2: 2,4 => UNS * INC # F2: 1 # G2: 2,4 => UNS * INC # F2: 1 # H2: 2,4 => UNS * INC # F2: 1 => UNS * CNT 16 HDP CHAINS / 16 HYP OPENED
Full list of HDP chains traversed for F7,D9: 8..:
* INC # F7: 8 # D8: 1,6 => UNS * INC # F7: 8 # F8: 1,6 => UNS * INC # F7: 8 # B9: 1,6 => UNS * INC # F7: 8 # G9: 1,6 => UNS * INC # F7: 8 => UNS * INC # D9: 8 # D4: 1,5 => UNS * INC # D9: 8 # E5: 1,5 => UNS * INC # D9: 8 # E6: 1,5 => UNS * INC # D9: 8 # G6: 1,5 => UNS * INC # D9: 8 # G6: 8,9 => UNS * INC # D9: 8 => UNS * CNT 11 HDP CHAINS / 11 HYP OPENED
Full list of HDP chains traversed for C7,A9: 4..:
* INC # C7: 4 # A4: 2,7 => UNS * INC # C7: 4 # B4: 2,7 => UNS * INC # C7: 4 # A5: 2,7 => UNS * INC # C7: 4 # E5: 2,7 => UNS * INC # C7: 4 # E5: 1,5 => UNS * INC # C7: 4 # B3: 2,7 => UNS * INC # C7: 4 # B3: 6,9 => UNS * INC # C7: 4 => UNS * INC # A9: 4 # B7: 1,9 => UNS * INC # A9: 4 # B9: 1,9 => UNS * INC # A9: 4 # E7: 1,9 => UNS * INC # A9: 4 # F7: 1,9 => UNS * INC # A9: 4 # G7: 1,9 => UNS * INC # A9: 4 # I7: 1,9 => UNS * INC # A9: 4 # C4: 1,9 => UNS * INC # A9: 4 # C4: 3,7,8 => UNS * INC # A9: 4 => UNS * CNT 17 HDP CHAINS / 17 HYP OPENED
Full list of HDP chains traversed for D1,D2: 4..:
* INC # D1: 4 # F2: 1,2 => UNS * INC # D1: 4 # F2: 7,9 => UNS * INC # D1: 4 # D4: 1,2 => UNS * INC # D1: 4 # D8: 1,2 => UNS * INC # D1: 4 => UNS * DIS # D2: 4 # H1: 2,9 => CTR => H1: 3,4,5,8 * INC # D2: 4 + H1: 3,4,5,8 # H2: 2,9 => UNS * INC # D2: 4 + H1: 3,4,5,8 # G3: 2,9 => UNS * INC # D2: 4 + H1: 3,4,5,8 # A2: 2,9 => UNS * INC # D2: 4 + H1: 3,4,5,8 # A2: 7 => UNS * INC # D2: 4 + H1: 3,4,5,8 # G7: 2,9 => UNS * INC # D2: 4 + H1: 3,4,5,8 # G8: 2,9 => UNS * INC # D2: 4 + H1: 3,4,5,8 # H2: 2,9 => UNS * INC # D2: 4 + H1: 3,4,5,8 # G3: 2,9 => UNS * INC # D2: 4 + H1: 3,4,5,8 # A2: 2,9 => UNS * INC # D2: 4 + H1: 3,4,5,8 # A2: 7 => UNS * INC # D2: 4 + H1: 3,4,5,8 # G7: 2,9 => UNS * INC # D2: 4 + H1: 3,4,5,8 # G8: 2,9 => UNS * INC # D2: 4 + H1: 3,4,5,8 => UNS * CNT 19 HDP CHAINS / 19 HYP OPENED
Full list of HDP chains traversed for F6,F8: 3..:
* INC # F8: 3 # E7: 1,9 => UNS * INC # F8: 3 # F7: 1,9 => UNS * INC # F8: 3 # B9: 1,9 => UNS * INC # F8: 3 # G9: 1,9 => UNS * INC # F8: 3 # I9: 1,9 => UNS * INC # F8: 3 => UNS * INC # F6: 3 => UNS * CNT 7 HDP CHAINS / 7 HYP OPENED
Full list of HDP chains traversed for E6,E9: 3..:
* INC # E6: 3 # E7: 1,9 => UNS * INC # E6: 3 # F7: 1,9 => UNS * INC # E6: 3 # B9: 1,9 => UNS * INC # E6: 3 # G9: 1,9 => UNS * INC # E6: 3 # I9: 1,9 => UNS * INC # E6: 3 => UNS * INC # E9: 3 => UNS * CNT 7 HDP CHAINS / 7 HYP OPENED
Full list of HDP chains traversed for F8,E9: 3..:
* INC # F8: 3 # E7: 1,9 => UNS * INC # F8: 3 # F7: 1,9 => UNS * INC # F8: 3 # B9: 1,9 => UNS * INC # F8: 3 # G9: 1,9 => UNS * INC # F8: 3 # I9: 1,9 => UNS * INC # F8: 3 => UNS * INC # E9: 3 => UNS * CNT 7 HDP CHAINS / 7 HYP OPENED
Full list of HDP chains traversed for E6,F6: 3..:
* INC # E6: 3 # E7: 1,9 => UNS * INC # E6: 3 # F7: 1,9 => UNS * INC # E6: 3 # B9: 1,9 => UNS * INC # E6: 3 # G9: 1,9 => UNS * INC # E6: 3 # I9: 1,9 => UNS * INC # E6: 3 => UNS * INC # F6: 3 => UNS * CNT 7 HDP CHAINS / 7 HYP OPENED
Full list of HDP chains traversed for B1,B4: 3..:
* INC # B1: 3 => UNS * INC # B4: 3 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for C2,H2: 3..:
* INC # C2: 3 => UNS * INC # H2: 3 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for B4,C4: 3..:
* INC # B4: 3 => UNS * INC # C4: 3 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A2. Very Deep Constraint Pair Analysis
Full list of HDP chains traversed for D2,F2: 1..:
* INC # D2: 1 # D4: 5,8 => UNS * INC # D2: 1 # D4: 2 => UNS * INC # D2: 1 # A6: 5,8 => UNS * INC # D2: 1 # G6: 5,8 => UNS * INC # D2: 1 # H6: 5,8 => UNS * INC # D2: 1 # G8: 2,6 => UNS * INC # D2: 1 # G8: 1,9 => UNS * INC # D2: 1 # G9: 6,8 => UNS * INC # D2: 1 # G9: 1,4,9 => UNS * INC # D2: 1 # D4: 5,8 # A4: 5,8 => UNS * INC # D2: 1 # D4: 5,8 # G4: 5,8 => UNS * INC # D2: 1 # D4: 5,8 # H4: 5,8 => UNS * INC # D2: 1 # D4: 5,8 # A6: 5,8 => UNS * INC # D2: 1 # D4: 5,8 # G6: 5,8 => UNS * INC # D2: 1 # D4: 5,8 # H6: 5,8 => UNS * INC # D2: 1 # D4: 5,8 # F8: 1,9 => UNS * INC # D2: 1 # D4: 5,8 # E9: 1,9 => UNS * INC # D2: 1 # D4: 5,8 # B7: 1,9 => UNS * DIS # D2: 1 # D4: 5,8 # C7: 1,9 => CTR => C7: 4 * DIS # D2: 1 # D4: 5,8 + C7: 4 # G7: 1,9 => CTR => G7: 2,5,6 * INC # D2: 1 # D4: 5,8 + C7: 4 + G7: 2,5,6 # I7: 1,9 => UNS * INC # D2: 1 # D4: 5,8 + C7: 4 + G7: 2,5,6 # F8: 1,9 => UNS * DIS # D2: 1 # D4: 5,8 + C7: 4 + G7: 2,5,6 # E9: 1,9 => CTR => E9: 3 * INC # D2: 1 # D4: 5,8 + C7: 4 + G7: 2,5,6 + E9: 3 # B7: 1,9 => UNS * INC # D2: 1 # D4: 5,8 + C7: 4 + G7: 2,5,6 + E9: 3 # I7: 1,9 => UNS * INC # D2: 1 # D4: 5,8 + C7: 4 + G7: 2,5,6 + E9: 3 # A4: 2,7 => UNS * DIS # D2: 1 # D4: 5,8 + C7: 4 + G7: 2,5,6 + E9: 3 # B4: 2,7 => CTR => B4: 3,9 * DIS # D2: 1 # D4: 5,8 + C7: 4 + G7: 2,5,6 + E9: 3 + B4: 3,9 # A5: 2,7 => CTR => A5: 5,8 * INC # D2: 1 # D4: 5,8 + C7: 4 + G7: 2,5,6 + E9: 3 + B4: 3,9 + A5: 5,8 # A4: 2,7 => UNS * DIS # D2: 1 # D4: 5,8 + C7: 4 + G7: 2,5,6 + E9: 3 + B4: 3,9 + A5: 5,8 # A4: 5,8,9 => CTR => A4: 2,7 * INC # D2: 1 # D4: 5,8 + C7: 4 + G7: 2,5,6 + E9: 3 + B4: 3,9 + A5: 5,8 + A4: 2,7 # E5: 2,7 => UNS * DIS # D2: 1 # D4: 5,8 + C7: 4 + G7: 2,5,6 + E9: 3 + B4: 3,9 + A5: 5,8 + A4: 2,7 # E5: 1 => CTR => E5: 2,7 * INC # D2: 1 # D4: 5,8 + C7: 4 + G7: 2,5,6 + E9: 3 + B4: 3,9 + A5: 5,8 + A4: 2,7 + E5: 2,7 # G4: 5,8 => UNS * PRF # D2: 1 # D4: 5,8 + C7: 4 + G7: 2,5,6 + E9: 3 + B4: 3,9 + A5: 5,8 + A4: 2,7 + E5: 2,7 # H4: 5,8 => SOL * STA # D2: 1 # D4: 5,8 + C7: 4 + G7: 2,5,6 + E9: 3 + B4: 3,9 + A5: 5,8 + A4: 2,7 + E5: 2,7 + H4: 5,8 * CNT 34 HDP CHAINS / 36 HYP OPENED