Analysis of xx-ph-00265773-12_12_03-base.sdk
Contents
Original Sudoku
level: deep
position: ........1....23.4...2..5......3...1..6..4.7..8...7...9..12...5..9....6..7....4..8 initial
Autosolve
position: ........1....23.4...2..5......3...1..6..4.7..8...7...9..12...5..9....6..7....41.8 autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000007
List of important HDP chains detected for G1,H1: 2..:
* DIS # H1: 2 # H3: 3,8 => CTR => H3: 6,7,9 * DIS # H1: 2 + H3: 6,7,9 # G6: 3,5 => CTR => G6: 2,4 * DIS # H1: 2 + H3: 6,7,9 + G6: 2,4 # A5: 3,5 => CTR => A5: 1,2,9 * DIS # H1: 2 + H3: 6,7,9 + G6: 2,4 + A5: 1,2,9 # C5: 9 => CTR => C5: 3,5 * DIS # H1: 2 + H3: 6,7,9 + G6: 2,4 + A5: 1,2,9 + C5: 3,5 # C9: 3,6 => CTR => C9: 5 * DIS # H1: 2 + H3: 6,7,9 + G6: 2,4 + A5: 1,2,9 + C5: 3,5 + C9: 5 => CTR => H1: 3,6,7,8,9 * STA H1: 3,6,7,8,9 * CNT 6 HDP CHAINS / 9 HYP OPENED
List of important HDP chains detected for B9,H9: 2..:
* DIS # H9: 2 # H3: 3,8 => CTR => H3: 6,7,9 * CNT 1 HDP CHAINS / 50 HYP OPENED
List of important HDP chains detected for A8,B9: 2..:
* DIS # A8: 2 # H3: 3,8 => CTR => H3: 6,7,9 * CNT 1 HDP CHAINS / 50 HYP OPENED
List of important HDP chains detected for I4,H6: 6..:
* DIS # I4: 6 # H5: 2,3 => CTR => H5: 8 * DIS # I4: 6 + H5: 8 # H1: 2,3 => CTR => H1: 6,7,9 * DIS # I4: 6 + H5: 8 + H1: 6,7,9 # H8: 2,3 => CTR => H8: 7 * PRF # I4: 6 + H5: 8 + H1: 6,7,9 + H8: 7 => SOL * STA I4: 6 * CNT 4 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....23.4...2..5......3...1..6..4.7..8...7...9..12...5..9....6..7....4..8 | initial |
| ........1....23.4...2..5......3...1..6..4.7..8...7...9..12...5..9....6..7....41.8 | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) A5,B6: 1.. / A5 = 1 => 0 pairs (_) / B6 = 1 => 2 pairs (_) E3,E8: 1.. / E3 = 1 => 0 pairs (_) / E8 = 1 => 2 pairs (_) G1,H1: 2.. / G1 = 2 => 0 pairs (_) / H1 = 2 => 7 pairs (_) A8,B9: 2.. / A8 = 2 => 6 pairs (_) / B9 = 2 => 1 pairs (_) B9,H9: 2.. / B9 = 2 => 1 pairs (_) / H9 = 2 => 6 pairs (_) D1,D3: 4.. / D1 = 4 => 0 pairs (_) / D3 = 4 => 0 pairs (_) I4,H6: 6.. / I4 = 6 => 4 pairs (_) / H6 = 6 => 2 pairs (_) A7,C9: 6.. / A7 = 6 => 1 pairs (_) / C9 = 6 => 2 pairs (_) B4,C4: 7.. / B4 = 7 => 0 pairs (_) / C4 = 7 => 0 pairs (_) F7,I7: 7.. / F7 = 7 => 2 pairs (_) / I7 = 7 => 3 pairs (_) G4,H5: 8.. / G4 = 8 => 3 pairs (_) / H5 = 8 => 0 pairs (_) B7,C8: 8.. / B7 = 8 => 0 pairs (_) / C8 = 8 => 2 pairs (_) G7,H9: 9.. / G7 = 9 => 3 pairs (_) / H9 = 9 => 2 pairs (_) * DURATION: 0:00:07.259516 START: 04:32:53.254930 END: 04:33:00.514446 2020-10-28 * CP COUNT: (13) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) G1,H1: 2.. / G1 = 2 => 0 pairs (_) / H1 = 2 ==> 0 pairs (X) B9,H9: 2.. / B9 = 2 ==> 1 pairs (_) / H9 = 2 ==> 6 pairs (_) A8,B9: 2.. / A8 = 2 ==> 6 pairs (_) / B9 = 2 ==> 1 pairs (_) I4,H6: 6.. / I4 = 6 ==> 0 pairs (*) / H6 = 6 => 0 pairs (X) * DURATION: 0:01:01.176717 START: 04:33:00.514990 END: 04:34:01.691707 2020-10-28 * REASONING G1,H1: 2.. * DIS # H1: 2 # H3: 3,8 => CTR => H3: 6,7,9 * DIS # H1: 2 + H3: 6,7,9 # G6: 3,5 => CTR => G6: 2,4 * DIS # H1: 2 + H3: 6,7,9 + G6: 2,4 # A5: 3,5 => CTR => A5: 1,2,9 * DIS # H1: 2 + H3: 6,7,9 + G6: 2,4 + A5: 1,2,9 # C5: 9 => CTR => C5: 3,5 * DIS # H1: 2 + H3: 6,7,9 + G6: 2,4 + A5: 1,2,9 + C5: 3,5 # C9: 3,6 => CTR => C9: 5 * DIS # H1: 2 + H3: 6,7,9 + G6: 2,4 + A5: 1,2,9 + C5: 3,5 + C9: 5 => CTR => H1: 3,6,7,8,9 * STA H1: 3,6,7,8,9 * CNT 6 HDP CHAINS / 9 HYP OPENED * REASONING B9,H9: 2.. * DIS # H9: 2 # H3: 3,8 => CTR => H3: 6,7,9 * CNT 1 HDP CHAINS / 50 HYP OPENED * REASONING A8,B9: 2.. * DIS # A8: 2 # H3: 3,8 => CTR => H3: 6,7,9 * CNT 1 HDP CHAINS / 50 HYP OPENED * REASONING I4,H6: 6.. * DIS # I4: 6 # H5: 2,3 => CTR => H5: 8 * DIS # I4: 6 + H5: 8 # H1: 2,3 => CTR => H1: 6,7,9 * DIS # I4: 6 + H5: 8 + H1: 6,7,9 # H8: 2,3 => CTR => H8: 7 * PRF # I4: 6 + H5: 8 + H1: 6,7,9 + H8: 7 => SOL * STA I4: 6 * CNT 4 HDP CHAINS / 16 HYP OPENED * DCP COUNT: (4) * SOLUTION FOUND
Header Info
265773;12_12_03;dob;22;11.40;1.20;1.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for G1,H1: 2..:
* DIS # H1: 2 # H3: 3,8 => CTR => H3: 6,7,9 * DIS # H1: 2 + H3: 6,7,9 # G6: 3,5 => CTR => G6: 2,4 * DIS # H1: 2 + H3: 6,7,9 + G6: 2,4 # A5: 3,5 => CTR => A5: 1,2,9 * INC # H1: 2 + H3: 6,7,9 + G6: 2,4 + A5: 1,2,9 # C5: 3,5 => UNS * INC # H1: 2 + H3: 6,7,9 + G6: 2,4 + A5: 1,2,9 # C5: 3,5 => UNS * DIS # H1: 2 + H3: 6,7,9 + G6: 2,4 + A5: 1,2,9 # C5: 9 => CTR => C5: 3,5 * DIS # H1: 2 + H3: 6,7,9 + G6: 2,4 + A5: 1,2,9 + C5: 3,5 # C9: 3,6 => CTR => C9: 5 * DIS # H1: 2 + H3: 6,7,9 + G6: 2,4 + A5: 1,2,9 + C5: 3,5 + C9: 5 => CTR => H1: 3,6,7,8,9 * INC H1: 3,6,7,8,9 # G1: 2 => UNS * STA H1: 3,6,7,8,9 * CNT 9 HDP CHAINS / 9 HYP OPENED
Full list of HDP chains traversed for B9,H9: 2..:
* INC # H9: 2 # G4: 5,8 => UNS * INC # H9: 2 # G4: 4 => UNS * INC # H9: 2 # H1: 3,8 => UNS * DIS # H9: 2 # H3: 3,8 => CTR => H3: 6,7,9 * INC # H9: 2 + H3: 6,7,9 # H1: 3,8 => UNS * INC # H9: 2 + H3: 6,7,9 # H1: 6,7,9 => UNS * INC # H9: 2 + H3: 6,7,9 # B3: 3,8 => UNS * INC # H9: 2 + H3: 6,7,9 # B3: 1,4,7 => UNS * INC # H9: 2 + H3: 6,7,9 # H1: 3,8 => UNS * INC # H9: 2 + H3: 6,7,9 # H1: 6,7,9 => UNS * INC # H9: 2 + H3: 6,7,9 # H1: 3,6 => UNS * INC # H9: 2 + H3: 6,7,9 # H1: 7,8,9 => UNS * INC # H9: 2 + H3: 6,7,9 # C8: 3,5 => UNS * INC # H9: 2 + H3: 6,7,9 # C9: 3,5 => UNS * INC # H9: 2 + H3: 6,7,9 # E9: 3,5 => UNS * INC # H9: 2 + H3: 6,7,9 # E9: 6,9 => UNS * INC # H9: 2 + H3: 6,7,9 # B1: 3,5 => UNS * INC # H9: 2 + H3: 6,7,9 # B6: 3,5 => UNS * INC # H9: 2 + H3: 6,7,9 # I7: 3,7 => UNS * INC # H9: 2 + H3: 6,7,9 # I8: 3,7 => UNS * INC # H9: 2 + H3: 6,7,9 # H1: 3,7 => UNS * INC # H9: 2 + H3: 6,7,9 # H1: 6,8,9 => UNS * INC # H9: 2 + H3: 6,7,9 # G4: 5,8 => UNS * INC # H9: 2 + H3: 6,7,9 # G4: 4 => UNS * INC # H9: 2 + H3: 6,7,9 # H1: 3,8 => UNS * INC # H9: 2 + H3: 6,7,9 # H1: 6,7,9 => UNS * INC # H9: 2 + H3: 6,7,9 # B3: 3,8 => UNS * INC # H9: 2 + H3: 6,7,9 # B3: 1,4,7 => UNS * INC # H9: 2 + H3: 6,7,9 # H1: 3,8 => UNS * INC # H9: 2 + H3: 6,7,9 # H1: 6,7,9 => UNS * INC # H9: 2 + H3: 6,7,9 # H1: 3,6 => UNS * INC # H9: 2 + H3: 6,7,9 # H1: 7,8,9 => UNS * INC # H9: 2 + H3: 6,7,9 # C8: 3,5 => UNS * INC # H9: 2 + H3: 6,7,9 # C9: 3,5 => UNS * INC # H9: 2 + H3: 6,7,9 # E9: 3,5 => UNS * INC # H9: 2 + H3: 6,7,9 # E9: 6,9 => UNS * INC # H9: 2 + H3: 6,7,9 # B1: 3,5 => UNS * INC # H9: 2 + H3: 6,7,9 # B6: 3,5 => UNS * INC # H9: 2 + H3: 6,7,9 # I7: 3,7 => UNS * INC # H9: 2 + H3: 6,7,9 # I8: 3,7 => UNS * INC # H9: 2 + H3: 6,7,9 # H1: 3,7 => UNS * INC # H9: 2 + H3: 6,7,9 # H1: 6,8,9 => UNS * INC # H9: 2 + H3: 6,7,9 => UNS * INC # B9: 2 # G7: 3,9 => UNS * INC # B9: 2 # G7: 4 => UNS * INC # B9: 2 # E9: 3,9 => UNS * INC # B9: 2 # E9: 5,6 => UNS * INC # B9: 2 # H1: 3,9 => UNS * INC # B9: 2 # H3: 3,9 => UNS * INC # B9: 2 => UNS * CNT 50 HDP CHAINS / 50 HYP OPENED
Full list of HDP chains traversed for A8,B9: 2..:
* INC # A8: 2 # G4: 5,8 => UNS * INC # A8: 2 # G4: 4 => UNS * INC # A8: 2 # H1: 3,8 => UNS * DIS # A8: 2 # H3: 3,8 => CTR => H3: 6,7,9 * INC # A8: 2 + H3: 6,7,9 # H1: 3,8 => UNS * INC # A8: 2 + H3: 6,7,9 # H1: 6,7,9 => UNS * INC # A8: 2 + H3: 6,7,9 # B3: 3,8 => UNS * INC # A8: 2 + H3: 6,7,9 # B3: 1,4,7 => UNS * INC # A8: 2 + H3: 6,7,9 # H1: 3,8 => UNS * INC # A8: 2 + H3: 6,7,9 # H1: 6,7,9 => UNS * INC # A8: 2 + H3: 6,7,9 # H1: 3,6 => UNS * INC # A8: 2 + H3: 6,7,9 # H1: 7,8,9 => UNS * INC # A8: 2 + H3: 6,7,9 # C8: 3,5 => UNS * INC # A8: 2 + H3: 6,7,9 # C9: 3,5 => UNS * INC # A8: 2 + H3: 6,7,9 # E9: 3,5 => UNS * INC # A8: 2 + H3: 6,7,9 # E9: 6,9 => UNS * INC # A8: 2 + H3: 6,7,9 # B1: 3,5 => UNS * INC # A8: 2 + H3: 6,7,9 # B6: 3,5 => UNS * INC # A8: 2 + H3: 6,7,9 # I7: 3,7 => UNS * INC # A8: 2 + H3: 6,7,9 # I8: 3,7 => UNS * INC # A8: 2 + H3: 6,7,9 # H1: 3,7 => UNS * INC # A8: 2 + H3: 6,7,9 # H1: 6,8,9 => UNS * INC # A8: 2 + H3: 6,7,9 # G4: 5,8 => UNS * INC # A8: 2 + H3: 6,7,9 # G4: 4 => UNS * INC # A8: 2 + H3: 6,7,9 # H1: 3,8 => UNS * INC # A8: 2 + H3: 6,7,9 # H1: 6,7,9 => UNS * INC # A8: 2 + H3: 6,7,9 # B3: 3,8 => UNS * INC # A8: 2 + H3: 6,7,9 # B3: 1,4,7 => UNS * INC # A8: 2 + H3: 6,7,9 # H1: 3,8 => UNS * INC # A8: 2 + H3: 6,7,9 # H1: 6,7,9 => UNS * INC # A8: 2 + H3: 6,7,9 # H1: 3,6 => UNS * INC # A8: 2 + H3: 6,7,9 # H1: 7,8,9 => UNS * INC # A8: 2 + H3: 6,7,9 # C8: 3,5 => UNS * INC # A8: 2 + H3: 6,7,9 # C9: 3,5 => UNS * INC # A8: 2 + H3: 6,7,9 # E9: 3,5 => UNS * INC # A8: 2 + H3: 6,7,9 # E9: 6,9 => UNS * INC # A8: 2 + H3: 6,7,9 # B1: 3,5 => UNS * INC # A8: 2 + H3: 6,7,9 # B6: 3,5 => UNS * INC # A8: 2 + H3: 6,7,9 # I7: 3,7 => UNS * INC # A8: 2 + H3: 6,7,9 # I8: 3,7 => UNS * INC # A8: 2 + H3: 6,7,9 # H1: 3,7 => UNS * INC # A8: 2 + H3: 6,7,9 # H1: 6,8,9 => UNS * INC # A8: 2 + H3: 6,7,9 => UNS * INC # B9: 2 # G7: 3,9 => UNS * INC # B9: 2 # G7: 4 => UNS * INC # B9: 2 # E9: 3,9 => UNS * INC # B9: 2 # E9: 5,6 => UNS * INC # B9: 2 # H1: 3,9 => UNS * INC # B9: 2 # H3: 3,9 => UNS * INC # B9: 2 => UNS * CNT 50 HDP CHAINS / 50 HYP OPENED
Full list of HDP chains traversed for I4,H6: 6..:
* INC # I4: 6 # B2: 5,7 => UNS * INC # I4: 6 # C2: 5,7 => UNS * INC # I4: 6 # H1: 3,7 => UNS * INC # I4: 6 # H3: 3,7 => UNS * INC # I4: 6 # B3: 3,7 => UNS * INC # I4: 6 # B3: 1,4,8 => UNS * INC # I4: 6 # I7: 3,7 => UNS * INC # I4: 6 # I8: 3,7 => UNS * DIS # I4: 6 # H5: 2,3 => CTR => H5: 8 * INC # I4: 6 + H5: 8 # I5: 2,3 => UNS * INC # I4: 6 + H5: 8 # G6: 2,3 => UNS * INC # I4: 6 + H5: 8 # B6: 2,3 => UNS * INC # I4: 6 + H5: 8 # B6: 1,4,5 => UNS * DIS # I4: 6 + H5: 8 # H1: 2,3 => CTR => H1: 6,7,9 * DIS # I4: 6 + H5: 8 + H1: 6,7,9 # H8: 2,3 => CTR => H8: 7 * PRF # I4: 6 + H5: 8 + H1: 6,7,9 + H8: 7 => SOL * STA I4: 6 * CNT 16 HDP CHAINS / 16 HYP OPENED